4D_variable_density.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "using Plots, Random, FFTW, Colors, Statistics, LinearAlgebra, EllipsisNotation, Wavelets, PaddedViews,\n",
    "    AbstractOperators, OffsetArrays, PyCall, BenchmarkTools, Distributed"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Read Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "d₁, d₂, d₃, m = 300, 224, 48, 4\n",
    "kSpace_orig = Array{ComplexF32}(undef, d₁, d₂, d₃, m)\n",
    "read!(\"../data.dat\", kSpace_orig)\n",
    "kSpace_orig = ntoh.(kSpace_orig) # big-endian to system default\n",
    "kSpace_CF64_orig = ComplexF64.(kSpace_orig);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Prepare Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "image4D_shifted_orig = abs.(ifft(kSpace_CF64_orig, [1,2,3]))            # Discard phase\n",
    "image4D_shifted = image4D_shifted_orig ./ maximum(image4D_shifted_orig) # Normalize data\n",
    "image4D = ifftshift(image4D_shifted, (1,3));                        # fftshift image (for visualization)\n",
    "kSpace = rfft(image4D, [1,2,3]);                                          # Simulate measurement"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((300, 224, 48, 4), Float64, (151, 224, 48, 4), Complex{Float64})"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "imSize, imType, kSize, kType = size(image4D), eltype(image4D), size(kSpace), eltype(kSpace)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Visualize"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "imshow (generic function with 1 method)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function imshow(img::Array{T, 2}; shift = false) where T<:Number\n",
    "    shift ? \n",
    "        plot(Gray.(abs.(fftshift(img, [1]))'), seriestype=:image) :\n",
    "        plot(Gray.(abs.(img)'), seriestype=:image)\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n",
       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n",
       "<defs>\n",
       "  <clipPath id=\"clip370\">\n",
       "    <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<path clip-path=\"url(#clip370)\" d=\"\n",
       "M0 1600 L2400 1600 L2400 0 L0 0  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<defs>\n",
       "  <clipPath id=\"clip371\">\n",
       "    <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<path clip-path=\"url(#clip370)\" d=\"\n",
       "M293.013 1486.45 L2222.71 1486.45 L2222.71 47.2441 L293.013 47.2441  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<defs>\n",
       "  <clipPath id=\"clip372\">\n",
       "    <rect x=\"293\" y=\"47\" width=\"1931\" height=\"1440\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<polyline clip-path=\"url(#clip372)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  609.25,47.2441 609.25,1486.45 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip372)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  931.942,47.2441 931.942,1486.45 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip372)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1254.63,47.2441 1254.63,1486.45 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip372)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1577.32,47.2441 1577.32,1486.45 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip372)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1900.02,47.2441 1900.02,1486.45 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip372)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  2222.71,47.2441 2222.71,1486.45 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip370)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  293.013,1486.45 2222.71,1486.45 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip370)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  609.25,1486.45 609.25,1469.18 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip370)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  931.942,1486.45 931.942,1469.18 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip370)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1254.63,1486.45 1254.63,1469.18 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip370)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1577.32,1486.45 1577.32,1469.18 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip370)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1900.02,1486.45 1900.02,1469.18 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip370)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  2222.71,1486.45 2222.71,1469.18 \n",
       "  \"/>\n",
       "<path clip-path=\"url(#clip370)\" d=\"M 0 0 M586.021 1512.56 L604.377 1512.56 L604.377 1516.5 L590.303 1516.5 L590.303 1524.97 Q591.322 1524.62 592.341 1524.46 Q593.359 1524.27 594.378 1524.27 Q600.165 1524.27 603.544 1527.44 Q606.924 1530.62 606.924 1536.03 Q606.924 1541.61 603.452 1544.71 Q599.979 1547.79 593.66 1547.79 Q591.484 1547.79 589.216 1547.42 Q586.97 1547.05 584.563 1546.31 L584.563 1541.61 Q586.646 1542.74 588.868 1543.3 Q591.091 1543.86 593.567 1543.86 Q597.572 1543.86 599.91 1541.75 Q602.248 1539.64 602.248 1536.03 Q602.248 1532.42 599.91 1530.31 Q597.572 1528.21 593.567 1528.21 Q591.692 1528.21 589.817 1528.62 Q587.966 1529.04 586.021 1529.92 L586.021 1512.56 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip370)\" d=\"M 0 0 M621.993 1515.64 Q618.382 1515.64 616.553 1519.2 Q614.748 1522.75 614.748 1529.87 Q614.748 1536.98 616.553 1540.55 Q618.382 1544.09 621.993 1544.09 Q625.627 1544.09 627.433 1540.55 Q629.262 1536.98 629.262 1529.87 Q629.262 1522.75 627.433 1519.2 Q625.627 1515.64 621.993 1515.64 M621.993 1511.93 Q627.803 1511.93 630.859 1516.54 Q633.938 1521.12 633.938 1529.87 Q633.938 1538.6 630.859 1543.21 Q627.803 1547.79 621.993 1547.79 Q616.183 1547.79 613.104 1543.21 Q610.049 1538.6 610.049 1529.87 Q610.049 1521.12 613.104 1516.54 Q616.183 1511.93 621.993 1511.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip370)\" d=\"M 0 0 M895.31 1543.18 L902.949 1543.18 L902.949 1516.82 L894.639 1518.49 L894.639 1514.23 L902.902 1512.56 L907.578 1512.56 L907.578 1543.18 L915.217 1543.18 L915.217 1547.12 L895.31 1547.12 L895.31 1543.18 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip370)\" d=\"M 0 0 M930.286 1515.64 Q926.675 1515.64 924.847 1519.2 Q923.041 1522.75 923.041 1529.87 Q923.041 1536.98 924.847 1540.55 Q926.675 1544.09 930.286 1544.09 Q933.921 1544.09 935.726 1540.55 Q937.555 1536.98 937.555 1529.87 Q937.555 1522.75 935.726 1519.2 Q933.921 1515.64 930.286 1515.64 M930.286 1511.93 Q936.097 1511.93 939.152 1516.54 Q942.231 1521.12 942.231 1529.87 Q942.231 1538.6 939.152 1543.21 Q936.097 1547.79 930.286 1547.79 Q924.476 1547.79 921.398 1543.21 Q918.342 1538.6 918.342 1529.87 Q918.342 1521.12 921.398 1516.54 Q924.476 1511.93 930.286 1511.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip370)\" d=\"M 0 0 M957.3 1515.64 Q953.689 1515.64 951.86 1519.2 Q950.055 1522.75 950.055 1529.87 Q950.055 1536.98 951.86 1540.55 Q953.689 1544.09 957.3 1544.09 Q960.934 1544.09 962.74 1540.55 Q964.569 1536.98 964.569 1529.87 Q964.569 1522.75 962.74 1519.2 Q960.934 1515.64 957.3 1515.64 M957.3 1511.93 Q963.11 1511.93 966.166 1516.54 Q969.245 1521.12 969.245 1529.87 Q969.245 1538.6 966.166 1543.21 Q963.11 1547.79 957.3 1547.79 Q951.49 1547.79 948.411 1543.21 Q945.356 1538.6 945.356 1529.87 Q945.356 1521.12 948.411 1516.54 Q951.49 1511.93 957.3 1511.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip370)\" d=\"M 0 0 M1218.5 1543.18 L1226.14 1543.18 L1226.14 1516.82 L1217.83 1518.49 L1217.83 1514.23 L1226.09 1512.56 L1230.77 1512.56 L1230.77 1543.18 L1238.41 1543.18 L1238.41 1547.12 L1218.5 1547.12 L1218.5 1543.18 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip370)\" d=\"M 0 0 M1243.52 1512.56 L1261.88 1512.56 L1261.88 1516.5 L1247.8 1516.5 L1247.8 1524.97 Q1248.82 1524.62 1249.84 1524.46 Q1250.86 1524.27 1251.88 1524.27 Q1257.67 1524.27 1261.05 1527.44 Q1264.42 1530.62 1264.42 1536.03 Q1264.42 1541.61 1260.95 1544.71 Q1257.48 1547.79 1251.16 1547.79 Q1248.98 1547.79 1246.72 1547.42 Q1244.47 1547.05 1242.06 1546.31 L1242.06 1541.61 Q1244.15 1542.74 1246.37 1543.3 Q1248.59 1543.86 1251.07 1543.86 Q1255.07 1543.86 1257.41 1541.75 Q1259.75 1539.64 1259.75 1536.03 Q1259.75 1532.42 1257.41 1530.31 Q1255.07 1528.21 1251.07 1528.21 Q1249.19 1528.21 1247.32 1528.62 Q1245.47 1529.04 1243.52 1529.92 L1243.52 1512.56 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip370)\" d=\"M 0 0 M1279.49 1515.64 Q1275.88 1515.64 1274.05 1519.2 Q1272.25 1522.75 1272.25 1529.87 Q1272.25 1536.98 1274.05 1540.55 Q1275.88 1544.09 1279.49 1544.09 Q1283.13 1544.09 1284.93 1540.55 Q1286.76 1536.98 1286.76 1529.87 Q1286.76 1522.75 1284.93 1519.2 Q1283.13 1515.64 1279.49 1515.64 M1279.49 1511.93 Q1285.3 1511.93 1288.36 1516.54 Q1291.44 1521.12 1291.44 1529.87 Q1291.44 1538.6 1288.36 1543.21 Q1285.3 1547.79 1279.49 1547.79 Q1273.68 1547.79 1270.61 1543.21 Q1267.55 1538.6 1267.55 1529.87 Q1267.55 1521.12 1270.61 1516.54 Q1273.68 1511.93 1279.49 1511.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip370)\" d=\"M 0 0 M1544.96 1543.18 L1561.28 1543.18 L1561.28 1547.12 L1539.34 1547.12 L1539.34 1543.18 Q1542 1540.43 1546.58 1535.8 Q1551.19 1531.15 1552.37 1529.81 Q1554.62 1527.28 1555.5 1525.55 Q1556.4 1523.79 1556.4 1522.1 Q1556.4 1519.34 1554.45 1517.61 Q1552.53 1515.87 1549.43 1515.87 Q1547.23 1515.87 1544.78 1516.63 Q1542.35 1517.4 1539.57 1518.95 L1539.57 1514.23 Q1542.39 1513.09 1544.85 1512.51 Q1547.3 1511.93 1549.34 1511.93 Q1554.71 1511.93 1557.9 1514.62 Q1561.1 1517.31 1561.1 1521.8 Q1561.1 1523.93 1560.29 1525.85 Q1559.5 1527.74 1557.39 1530.34 Q1556.82 1531.01 1553.71 1534.23 Q1550.61 1537.42 1544.96 1543.18 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip370)\" d=\"M 0 0 M1576.35 1515.64 Q1572.74 1515.64 1570.91 1519.2 Q1569.11 1522.75 1569.11 1529.87 Q1569.11 1536.98 1570.91 1540.55 Q1572.74 1544.09 1576.35 1544.09 Q1579.99 1544.09 1581.79 1540.55 Q1583.62 1536.98 1583.62 1529.87 Q1583.62 1522.75 1581.79 1519.2 Q1579.99 1515.64 1576.35 1515.64 M1576.35 1511.93 Q1582.16 1511.93 1585.22 1516.54 Q1588.3 1521.12 1588.3 1529.87 Q1588.3 1538.6 1585.22 1543.21 Q1582.16 1547.79 1576.35 1547.79 Q1570.54 1547.79 1567.46 1543.21 Q1564.41 1538.6 1564.41 1529.87 Q1564.41 1521.12 1567.46 1516.54 Q1570.54 1511.93 1576.35 1511.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip370)\" d=\"M 0 0 M1603.37 1515.64 Q1599.75 1515.64 1597.93 1519.2 Q1596.12 1522.75 1596.12 1529.87 Q1596.12 1536.98 1597.93 1540.55 Q1599.75 1544.09 1603.37 1544.09 Q1607 1544.09 1608.81 1540.55 Q1610.63 1536.98 1610.63 1529.87 Q1610.63 1522.75 1608.81 1519.2 Q1607 1515.64 1603.37 1515.64 M1603.37 1511.93 Q1609.18 1511.93 1612.23 1516.54 Q1615.31 1521.12 1615.31 1529.87 Q1615.31 1538.6 1612.23 1543.21 Q1609.18 1547.79 1603.37 1547.79 Q1597.56 1547.79 1594.48 1543.21 Q1591.42 1538.6 1591.42 1529.87 Q1591.42 1521.12 1594.48 1516.54 Q1597.56 1511.93 1603.37 1511.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip370)\" d=\"M 0 0 M1868.15 1543.18 L1884.47 1543.18 L1884.47 1547.12 L1862.53 1547.12 L1862.53 1543.18 Q1865.19 1540.43 1869.77 1535.8 Q1874.38 1531.15 1875.56 1529.81 Q1877.81 1527.28 1878.68 1525.55 Q1879.59 1523.79 1879.59 1522.1 Q1879.59 1519.34 1877.64 1517.61 Q1875.72 1515.87 1872.62 1515.87 Q1870.42 1515.87 1867.97 1516.63 Q1865.54 1517.4 1862.76 1518.95 L1862.76 1514.23 Q1865.58 1513.09 1868.04 1512.51 Q1870.49 1511.93 1872.53 1511.93 Q1877.9 1511.93 1881.09 1514.62 Q1884.29 1517.31 1884.29 1521.8 Q1884.29 1523.93 1883.48 1525.85 Q1882.69 1527.74 1880.58 1530.34 Q1880 1531.01 1876.9 1534.23 Q1873.8 1537.42 1868.15 1543.18 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip370)\" d=\"M 0 0 M1889.59 1512.56 L1907.94 1512.56 L1907.94 1516.5 L1893.87 1516.5 L1893.87 1524.97 Q1894.89 1524.62 1895.91 1524.46 Q1896.93 1524.27 1897.94 1524.27 Q1903.73 1524.27 1907.11 1527.44 Q1910.49 1530.62 1910.49 1536.03 Q1910.49 1541.61 1907.02 1544.71 Q1903.55 1547.79 1897.23 1547.79 Q1895.05 1547.79 1892.78 1547.42 Q1890.54 1547.05 1888.13 1546.31 L1888.13 1541.61 Q1890.21 1542.74 1892.43 1543.3 Q1894.66 1543.86 1897.13 1543.86 Q1901.14 1543.86 1903.48 1541.75 Q1905.81 1539.64 1905.81 1536.03 Q1905.81 1532.42 1903.48 1530.31 Q1901.14 1528.21 1897.13 1528.21 Q1895.26 1528.21 1893.38 1528.62 Q1891.53 1529.04 1889.59 1529.92 L1889.59 1512.56 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip370)\" d=\"M 0 0 M1925.56 1515.64 Q1921.95 1515.64 1920.12 1519.2 Q1918.31 1522.75 1918.31 1529.87 Q1918.31 1536.98 1920.12 1540.55 Q1921.95 1544.09 1925.56 1544.09 Q1929.19 1544.09 1931 1540.55 Q1932.83 1536.98 1932.83 1529.87 Q1932.83 1522.75 1931 1519.2 Q1929.19 1515.64 1925.56 1515.64 M1925.56 1511.93 Q1931.37 1511.93 1934.43 1516.54 Q1937.5 1521.12 1937.5 1529.87 Q1937.5 1538.6 1934.43 1543.21 Q1931.37 1547.79 1925.56 1547.79 Q1919.75 1547.79 1916.67 1543.21 Q1913.62 1538.6 1913.62 1529.87 Q1913.62 1521.12 1916.67 1516.54 Q1919.75 1511.93 1925.56 1511.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip370)\" d=\"M 0 0 M2199.94 1528.49 Q2203.3 1529.2 2205.17 1531.47 Q2207.07 1533.74 2207.07 1537.07 Q2207.07 1542.19 2203.55 1544.99 Q2200.03 1547.79 2193.55 1547.79 Q2191.38 1547.79 2189.06 1547.35 Q2186.77 1546.93 2184.32 1546.08 L2184.32 1541.56 Q2186.26 1542.7 2188.58 1543.28 Q2190.89 1543.86 2193.41 1543.86 Q2197.81 1543.86 2200.1 1542.12 Q2202.42 1540.38 2202.42 1537.07 Q2202.42 1534.02 2200.27 1532.31 Q2198.14 1530.57 2194.32 1530.57 L2190.29 1530.57 L2190.29 1526.73 L2194.5 1526.73 Q2197.95 1526.73 2199.78 1525.36 Q2201.61 1523.97 2201.61 1521.38 Q2201.61 1518.72 2199.71 1517.31 Q2197.83 1515.87 2194.32 1515.87 Q2192.39 1515.87 2190.2 1516.29 Q2188 1516.7 2185.36 1517.58 L2185.36 1513.42 Q2188.02 1512.68 2190.33 1512.31 Q2192.67 1511.93 2194.73 1511.93 Q2200.06 1511.93 2203.16 1514.37 Q2206.26 1516.77 2206.26 1520.89 Q2206.26 1523.76 2204.62 1525.75 Q2202.97 1527.72 2199.94 1528.49 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip370)\" d=\"M 0 0 M2222.14 1515.64 Q2218.53 1515.64 2216.7 1519.2 Q2214.89 1522.75 2214.89 1529.87 Q2214.89 1536.98 2216.7 1540.55 Q2218.53 1544.09 2222.14 1544.09 Q2225.77 1544.09 2227.58 1540.55 Q2229.41 1536.98 2229.41 1529.87 Q2229.41 1522.75 2227.58 1519.2 Q2225.77 1515.64 2222.14 1515.64 M2222.14 1511.93 Q2227.95 1511.93 2231.01 1516.54 Q2234.08 1521.12 2234.08 1529.87 Q2234.08 1538.6 2231.01 1543.21 Q2227.95 1547.79 2222.14 1547.79 Q2216.33 1547.79 2213.25 1543.21 Q2210.2 1538.6 2210.2 1529.87 Q2210.2 1521.12 2213.25 1516.54 Q2216.33 1511.93 2222.14 1511.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip370)\" d=\"M 0 0 M2249.15 1515.64 Q2245.54 1515.64 2243.71 1519.2 Q2241.91 1522.75 2241.91 1529.87 Q2241.91 1536.98 2243.71 1540.55 Q2245.54 1544.09 2249.15 1544.09 Q2252.79 1544.09 2254.59 1540.55 Q2256.42 1536.98 2256.42 1529.87 Q2256.42 1522.75 2254.59 1519.2 Q2252.79 1515.64 2249.15 1515.64 M2249.15 1511.93 Q2254.96 1511.93 2258.02 1516.54 Q2261.1 1521.12 2261.1 1529.87 Q2261.1 1538.6 2258.02 1543.21 Q2254.96 1547.79 2249.15 1547.79 Q2243.34 1547.79 2240.27 1543.21 Q2237.21 1538.6 2237.21 1529.87 Q2237.21 1521.12 2240.27 1516.54 Q2243.34 1511.93 2249.15 1511.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><polyline clip-path=\"url(#clip372)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  293.013,363.482 2222.71,363.482 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip372)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  293.013,686.173 2222.71,686.173 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip372)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  293.013,1008.86 2222.71,1008.86 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip372)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  293.013,1331.56 2222.71,1331.56 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip370)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  293.013,47.2441 293.013,1486.45 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip370)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  293.013,363.482 316.169,363.482 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip370)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  293.013,686.173 316.169,686.173 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip370)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  293.013,1008.86 316.169,1008.86 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip370)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  293.013,1331.56 316.169,1331.56 \n",
       "  \"/>\n",
       "<path clip-path=\"url(#clip370)\" d=\"M 0 0 M209.096 346.202 L227.453 346.202 L227.453 350.137 L213.379 350.137 L213.379 358.609 Q214.397 358.262 215.416 358.1 Q216.434 357.915 217.453 357.915 Q223.24 357.915 226.619 361.086 Q229.999 364.257 229.999 369.674 Q229.999 375.252 226.527 378.354 Q223.054 381.433 216.735 381.433 Q214.559 381.433 212.291 381.063 Q210.045 380.692 207.638 379.952 L207.638 375.252 Q209.721 376.387 211.943 376.942 Q214.166 377.498 216.642 377.498 Q220.647 377.498 222.985 375.391 Q225.323 373.285 225.323 369.674 Q225.323 366.063 222.985 363.956 Q220.647 361.85 216.642 361.85 Q214.767 361.85 212.892 362.266 Q211.041 362.683 209.096 363.563 L209.096 346.202 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip370)\" d=\"M 0 0 M245.068 349.28 Q241.457 349.28 239.628 352.845 Q237.823 356.387 237.823 363.516 Q237.823 370.623 239.628 374.188 Q241.457 377.729 245.068 377.729 Q248.702 377.729 250.508 374.188 Q252.337 370.623 252.337 363.516 Q252.337 356.387 250.508 352.845 Q248.702 349.28 245.068 349.28 M245.068 345.577 Q250.878 345.577 253.934 350.183 Q257.013 354.766 257.013 363.516 Q257.013 372.243 253.934 376.85 Q250.878 381.433 245.068 381.433 Q239.258 381.433 236.179 376.85 Q233.124 372.243 233.124 363.516 Q233.124 354.766 236.179 350.183 Q239.258 345.577 245.068 345.577 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip370)\" d=\"M 0 0 M183.078 699.518 L190.717 699.518 L190.717 673.152 L182.406 674.819 L182.406 670.56 L190.67 668.893 L195.346 668.893 L195.346 699.518 L202.985 699.518 L202.985 703.453 L183.078 703.453 L183.078 699.518 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip370)\" d=\"M 0 0 M218.054 671.972 Q214.443 671.972 212.615 675.537 Q210.809 679.078 210.809 686.208 Q210.809 693.314 212.615 696.879 Q214.443 700.421 218.054 700.421 Q221.689 700.421 223.494 696.879 Q225.323 693.314 225.323 686.208 Q225.323 679.078 223.494 675.537 Q221.689 671.972 218.054 671.972 M218.054 668.268 Q223.865 668.268 226.92 672.875 Q229.999 677.458 229.999 686.208 Q229.999 694.935 226.92 699.541 Q223.865 704.124 218.054 704.124 Q212.244 704.124 209.166 699.541 Q206.11 694.935 206.11 686.208 Q206.11 677.458 209.166 672.875 Q212.244 668.268 218.054 668.268 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip370)\" d=\"M 0 0 M245.068 671.972 Q241.457 671.972 239.628 675.537 Q237.823 679.078 237.823 686.208 Q237.823 693.314 239.628 696.879 Q241.457 700.421 245.068 700.421 Q248.702 700.421 250.508 696.879 Q252.337 693.314 252.337 686.208 Q252.337 679.078 250.508 675.537 Q248.702 671.972 245.068 671.972 M245.068 668.268 Q250.878 668.268 253.934 672.875 Q257.013 677.458 257.013 686.208 Q257.013 694.935 253.934 699.541 Q250.878 704.124 245.068 704.124 Q239.258 704.124 236.179 699.541 Q233.124 694.935 233.124 686.208 Q233.124 677.458 236.179 672.875 Q239.258 668.268 245.068 668.268 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip370)\" d=\"M 0 0 M184.073 1022.21 L191.712 1022.21 L191.712 995.844 L183.402 997.51 L183.402 993.251 L191.666 991.585 L196.342 991.585 L196.342 1022.21 L203.98 1022.21 L203.98 1026.14 L184.073 1026.14 L184.073 1022.21 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip370)\" d=\"M 0 0 M209.096 991.585 L227.453 991.585 L227.453 995.52 L213.379 995.52 L213.379 1003.99 Q214.397 1003.64 215.416 1003.48 Q216.434 1003.3 217.453 1003.3 Q223.24 1003.3 226.619 1006.47 Q229.999 1009.64 229.999 1015.06 Q229.999 1020.64 226.527 1023.74 Q223.054 1026.82 216.735 1026.82 Q214.559 1026.82 212.291 1026.45 Q210.045 1026.08 207.638 1025.33 L207.638 1020.64 Q209.721 1021.77 211.943 1022.33 Q214.166 1022.88 216.642 1022.88 Q220.647 1022.88 222.985 1020.77 Q225.323 1018.67 225.323 1015.06 Q225.323 1011.45 222.985 1009.34 Q220.647 1007.23 216.642 1007.23 Q214.767 1007.23 212.892 1007.65 Q211.041 1008.07 209.096 1008.95 L209.096 991.585 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip370)\" d=\"M 0 0 M245.068 994.663 Q241.457 994.663 239.628 998.228 Q237.823 1001.77 237.823 1008.9 Q237.823 1016.01 239.628 1019.57 Q241.457 1023.11 245.068 1023.11 Q248.702 1023.11 250.508 1019.57 Q252.337 1016.01 252.337 1008.9 Q252.337 1001.77 250.508 998.228 Q248.702 994.663 245.068 994.663 M245.068 990.96 Q250.878 990.96 253.934 995.566 Q257.013 1000.15 257.013 1008.9 Q257.013 1017.63 253.934 1022.23 Q250.878 1026.82 245.068 1026.82 Q239.258 1026.82 236.179 1022.23 Q233.124 1017.63 233.124 1008.9 Q233.124 1000.15 236.179 995.566 Q239.258 990.96 245.068 990.96 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip370)\" d=\"M 0 0 M186.666 1344.9 L202.985 1344.9 L202.985 1348.84 L181.041 1348.84 L181.041 1344.9 Q183.703 1342.15 188.286 1337.52 Q192.893 1332.86 194.073 1331.52 Q196.318 1329 197.198 1327.26 Q198.101 1325.5 198.101 1323.81 Q198.101 1321.06 196.156 1319.32 Q194.235 1317.59 191.133 1317.59 Q188.934 1317.59 186.481 1318.35 Q184.05 1319.11 181.272 1320.66 L181.272 1315.94 Q184.096 1314.81 186.55 1314.23 Q189.004 1313.65 191.041 1313.65 Q196.411 1313.65 199.605 1316.34 Q202.8 1319.02 202.8 1323.51 Q202.8 1325.64 201.99 1327.56 Q201.203 1329.46 199.096 1332.05 Q198.517 1332.72 195.416 1335.94 Q192.314 1339.14 186.666 1344.9 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip370)\" d=\"M 0 0 M218.054 1317.35 Q214.443 1317.35 212.615 1320.92 Q210.809 1324.46 210.809 1331.59 Q210.809 1338.7 212.615 1342.26 Q214.443 1345.8 218.054 1345.8 Q221.689 1345.8 223.494 1342.26 Q225.323 1338.7 225.323 1331.59 Q225.323 1324.46 223.494 1320.92 Q221.689 1317.35 218.054 1317.35 M218.054 1313.65 Q223.865 1313.65 226.92 1318.26 Q229.999 1322.84 229.999 1331.59 Q229.999 1340.32 226.92 1344.92 Q223.865 1349.51 218.054 1349.51 Q212.244 1349.51 209.166 1344.92 Q206.11 1340.32 206.11 1331.59 Q206.11 1322.84 209.166 1318.26 Q212.244 1313.65 218.054 1313.65 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip370)\" d=\"M 0 0 M245.068 1317.35 Q241.457 1317.35 239.628 1320.92 Q237.823 1324.46 237.823 1331.59 Q237.823 1338.7 239.628 1342.26 Q241.457 1345.8 245.068 1345.8 Q248.702 1345.8 250.508 1342.26 Q252.337 1338.7 252.337 1331.59 Q252.337 1324.46 250.508 1320.92 Q248.702 1317.35 245.068 1317.35 M245.068 1313.65 Q250.878 1313.65 253.934 1318.26 Q257.013 1322.84 257.013 1331.59 Q257.013 1340.32 253.934 1344.92 Q250.878 1349.51 245.068 1349.51 Q239.258 1349.51 236.179 1344.92 Q233.124 1340.32 233.124 1331.59 Q233.124 1322.84 236.179 1318.26 Q239.258 1313.65 245.068 1313.65 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><g clip-path=\"url(#clip372)\">\n",
       "<image width=\"1936\" height=\"1446\" xlink:href=\"data:image/png;base64,\n",
       "iVBORw0KGgoAAAANSUhEUgAAB5AAAAWmCAYAAABOZjwsAAAgAElEQVR4nOzdyW4rS3et7UmxpqS1\n",
       "vsIGDNhNNwz4Rg34Ys4luWXDDdsfvFSQIlX8HWH/wSFxDM2dOgcHPu/T2olMRkYxY0Zk5l7QbLVa\n",
       "vZWxWCzc6Vqv12fHT09P9vrZbGbP/95rP3M6nc6O5/P5xWufn59tWdrO19dXe/3b2+Vuvbq6Ojte\n",
       "rVa2rOPxaM/r7931qU+1H1w7qnyfVlUtl8vf/nu/39trE73XWHbX1NhSLy8vv/33dru11x4OB3te\n",
       "65b6zc1RjY2xnp9Jsab3cuOf2nl9fW3PK5037l5pfFPsaO5w16fcoXMozRk3BpvN5uw45VvNWyrl\n",
       "sVGKHT2f+rjTb6ms1A4XO59x99PxSeOZ2jlKa0Fqh+aKdL3L79qu1I40Bp38nWJN52ea766d+tuU\n",
       "v1OOVK5fUuzo+HXHX419nsbrO+ez9v/UfYWOmWtL6jNd09L4prqNdUnXpvmu7Upj4MZf+yHNsdRv\n",
       "2k9urUn9oPGQ1jW359HckNqR+vTx8fHseLfbXbw27Xm699a2jLQP3LVfuZfGmhuzlG81tqbux8bc\n",
       "kvJWembVurn4SGue1jvVrdNv6d5p/3x/f392nPrF1U3ndsqR3bh2bU1lae7oxuZI+yjljjTfdb/u\n",
       "1r00f7UuKT7ceOvcTu3UHJjKc+taip3O2v7ZvZ00B1LdtC4p1ly/ahy6deX31M31S9p/abtSv43z\n",
       "IM3X7l497VM649953v2MjsGUd1D629Qvbvz1mSXFShp/zS2ubuleOge6zzzutyn/3tzc2PP6+87z\n",
       "sNKc133Pp8a4T/MvrR3arm6/OKlu37mH0vVU6To15b2A9ml6l5byVCendtfIKTR3pNzw8PBgz+sY\n",
       "ubZ039t1cv1nxt9Pff7V8dP9tru30j5L+6303mC819RY0nZOeTbXXJD6uPtu1Y1p2l91yqry/abn\n",
       "vjvW3Bh0c0M3P496b9UBAAAAAAAAAAAAAP9j8QEZAAAAAAAAAAAAAFBVfEAGAAAAAAAAAAAAALzj\n",
       "AzIAAAAAAAAAAAAAoKr4gAwAAAAAAAAAAAAAeMcHZAAAAAAAAAAAAABAVfEBGQAAAAAAAAAAAADw\n",
       "jg/IAAAAAAAAAAAAAICqqpqtVqs3d8FyuWwV+Pz8/Lsrs1gszo5fX1/t9bPZzJ6fz+dnx29vl5uq\n",
       "905SO1er1cVzWu9UVmqn9pPrt9SnOt4vLy+te6vNZvPlshIdPzdmx+PRlqWxkaS6r9fr3/77dDrZ\n",
       "a6+u/P+3ofdKfeziWqU479ZtbLd6enqyZelv9/u9vd7Reqd2pHvp/HXlpfmrfZ5iyY2nzs8U52m8\n",
       "tTx37+78dbFRlcdg7NdU1uFwsOfHPPQVbs5pn6U4T7E4nk99cn19bc9rXdKYufU91btL86KLtZTT\n",
       "drvd2XE3b7l6JSmWNBbdHExru+aW7vqtxn5IuUNjLeU5d2+N6xSXaX3We7l5s91ubVkaayn2Ouux\n",
       "2wd+5byOUaqbO685dMpe/bN7uXmU4lznyJS9QPeZJcWa5lSXa1Ju0D5K/eLOaxymPJbmQWdvl9Zb\n",
       "jY1unlPjPEnt7K55Lj93c8HU3DHGYiorjefj4+PZcco1nfU4zZm0tugcctenPY/+tvu87KT9c3dN\n",
       "dLGZxrv7jsL1g9Y7zak03tqnLtbSfll/m/J5WivGWEvPESl3aD9N2cd099fdtd+Vn3KB6uTc1K6b\n",
       "mxt7XvNWmmOuX7T/09xPc6zzDNxd89K9O+95pq63ysVxmp/d5ysXP513ulV5vLSfXFu6+46Uazrj\n",
       "mXJc2gt8575T83ca/5QPdE66WOu+K++uW06an5q3lI6R2/Oke6XxUy7WtKy0t0+0na6Pu+OT6pbm\n",
       "XGd/ne6lcZ3u7casmyM749955viMzrlu7DmprKnPU517aT9M+V6l90r1/M5vQmlvp/m7+y1sxL9A\n",
       "BgAAAAAAAAAAAABUFR+QAQAAAAAAAAAAAADv+IAMAAAAAAAAAAAAAKgqPiADAAAAAAAAAAAAAN7x\n",
       "ARkAAAAAAAAAAAAAUFVVs/V6/WYvmM1sAVdX59+g395scfb8fD63Zavn52d7vmOz2djzT09PZ8ep\n",
       "bo7We7FY2OvX67U9//j4eHbs+ji1U8cgSfGx3+9/++/lcmmvfX19tee131xdUxwej8ez49VqZa/f\n",
       "brf2/MvLy8Wyu3XT86luX63XV5xOJ3teY1HnxSjFkrYz1dXNEy0rxVoaA41FF+cpD2ns6HxN1490\n",
       "fFKspbjV37u8lua69nmqWyevpXyb6qaxmMbMlZfule6tUt4bpbhVqd8Oh8PFc7vd7uw49Vk6f319\n",
       "fXbsck233ilHutyi45PyUDqvdXdtSWu/3qubt9Q4R1Mcd3JgurfGRsrPqY/19y72Uh9395FpPo/9\n",
       "lMYjtVPvlcagk5vSWq/zVWnbunsNV5cUH9+590/x0ck1abx1fFI73L20v1M73F6t6mPd3bNCqnc3\n",
       "pybj/VJspD3P+ExS5ccsrStaVqpbWtfGPU/KM6mdOqdSea5uGjspz6Tx1t+72E311n1mut7VTeuV\n",
       "1tufP3/a85o7XHmpz3TOpVhysagxn/qsmztub29/d1ndPU8nrlN+/u5nVndexyeVlZ6XdL5Pybk6\n",
       "H1OsjWPafYeUpHa4HK3jlfY8aV3TuHbPT0l3/N080LiekhuqPvZD97lzpM+R6b2AO6/tSvO5+3zl\n",
       "dN+NTa3b+Pu0D0k5VefklJzafXea+q2zj0192n0P6GKtm8e6a4uLPZ0zqvv848ag+z4r0X7o5Ock\n",
       "jUmKtTG2pr471fFLY+Jysv42rfUPDw/2/NjOlGc633C+UreONP5pHeu8O+2+O0mx5tZ+jfnu87LS\n",
       "3//f8r6Lf4EMAAAAAAAAAAAAAKgqPiADAAAAAAAAAAAAAN7xARkAAAAAAAAAAAAAUFV8QAYAAAAA\n",
       "AAAAAAAAvOMDMgAAAAAAAAAAAACgqqpmNzc3b+6C4/FoC9hut2fHr6+v9vr9fn/x3GazOTs+nU62\n",
       "rNlsZs8vl8uzY9cWvbfSuiwWi9b1znq9tudfXl7s+dQPo1Svq6ve/1OQ+u3h4eG3/765ubHXPj4+\n",
       "2vPz+dwej1Kf6W9dXFZV/fjxw54/HA6//XeKjTSnNB6en5/t9W9vl6ewzkfXZ6msqvN2VlXtdjt7\n",
       "vaN1m9JOdXt7a8/f39/b8zoP3LxI9dL5mXKkm89ajxRrqU87Ur21bmkOpvLG/J3akfKWjtFqtfrd\n",
       "ddNzqZ3pXk9PT7/9d5qfqc+63P30XinO0zrWuXeieSitgS4+NB+nNU3vne6leyR3b9WNtU7ddX+k\n",
       "dM6l6zt7niTdS7m9xa9fv+xvtU9TXKb5PJY3zu3PpPHSWEp5MMXHqJOXPpPWnlGqt8ZO6hc337UP\n",
       "Up9cX1/b8+MeNunOz7RuufM6PlOfSTp7i1SWxlYa/84zTFqHunseNw9SvTR/p+vT+j3mnjSeaR36\n",
       "05/+dHb8X//1X/Z6N+d0vDvj9RWurd2cl9YOV3fN/d21XmldXFs6++GqPAc7+460FqR9Suf9SOoz\n",
       "zWvp+hSL45hOefaq+ph7utdfqle6tir3g46R24+nOaWxlvYCYz90n8WUtiPlwc47q+67F6Xj7eag\n",
       "m3+f/bY7JqPOu5Gq3j6xyu+Ju/Mz3dud17I6c/8r93L3TnGodUnjmd5RjfvOKbFR9TE+Uh7sxEfa\n",
       "P6c1VOvu7t2N88Tdq/t+Io1BJ9bSvfV8ys+u37TeaT53n/PdvEmxoXMqzcH0Pnr8xjB1f919F+vo\n",
       "+KT5l+41ltfdV6a6fed7gSnvAKt6eS3lUK331L3iKM2p7rtyt19P37J0j9PdC4z4F8gAAAAAAAAA\n",
       "AAAAgKriAzIAAAAAAAAAAAAA4B0fkAEAAAAAAAAAAAAAVcUHZAAAAAAAAAAAAADAOz4gAwAAAAAA\n",
       "AAAAAACqqmq2Wq3e3AVXV/4b883Nzdnx09OTvf50Ol08t16vzys3m9mykufn57Pj19fXi9cul0tb\n",
       "1tvbmz1Wru5ar1TWfD6359Visbh4zvVB1cfx3u/3v/teVblfR9ovyWq1unjueDza3242m7NjF5fp\n",
       "XlXn453unfpMf5+uPxwOX6pXVW7n7e2tPX9/f392rP04Sv2gsZj62NVd43a73dqyXJ99Vp6bo91c\n",
       "kK535zUWUm5IY6C/d/kh5Q49n9aOzpx6eXmx13b7IdXN5e/uWpDy2hirabwSbVcaM1d3HZ+0Hqd+\n",
       "SHUZpfHRdSXN51S3kctpVXk8dc1Mce5on03t47EuaS3QOZXGv7NfS+OVxkDv5fJDiqVuO9Oe5vHx\n",
       "8Uv1+godz9Qvbv+t/ZByZjevuTU3jbe2s7sfd79NzyRpvHX+Pjw8XLw27dU6eajKj7fO3zSfu3nN\n",
       "5ZLUTo377jOMk/Jvupf2k4u1VJb+Nq3fafxTrhql8f7OZ1b97XeuBVU+nlKfaN1Szu3k5DT+qW4a\n",
       "Dy7W0tqt8zeNp8tT3WeS1M7O2pJiQ8cn3TutLWP+TuOZ8prmnu7aMdLxmTI/qz6+P3O5KPWDtjOt\n",
       "x+P1qZ7d/Dxln6KxkdbApPMMk8ZT+zT1W8r3Hd19iMbWKNVb91+pD90c1Lic8s7os7q4XJPmgOat\n",
       "Ke959H5T+qzq4zxIbenk76l7Ho0tN2apH7rPch0plrprZGevl+qS9sRu/nbf23Vzh7s+5fbu+48U\n",
       "12N53e8NSapb5z1QmlNpDzuOd7q2886oKo+Zm3ParqnPctrn7vrUD1pWqlvnmSXNqe6z3JRnc71X\n",
       "ikt3L/4FMgAAAAAAAAAAAACgqviADAAAAAAAAAAAAAB4xwdkAAAAAAAAAAAAAEBV8QEZAAAAAAAA\n",
       "AAAAAPCOD8gAAAAAAAAAAAAAgKriAzIAAAAAAAAAAAAA4B0fkAEAAAAAAAAAAAAAVVU1W61Wb+6C\n",
       "+XxuC1itVmfHT09P9vq3t8u303Oz2cyWdXNzY8+fTqez45eXl4vXajuUtuv19dVen/pt5Pqkqurq\n",
       "yn/n19/vdruL1x6PR1uW9sN+v7fXL5dLe34cA9f/VbnPtM+njGenrKqqP/3pT/b82K/Pz8/22jTe\n",
       "Gvcp1r5ar6qq6+tre/39/b09r2PkxizFrbYzxeZisbh4Tue6u7Yqx5qOoctFeu90r+58HmmcplhK\n",
       "/aDzxLXz4eHBlqX5OI1nGoOxramdqSzNU4+Pj/Z61w+pLl1jrKV8mtZErdt6vbbXuzHSslIeSnXr\n",
       "XJ/K0nnQiSWV5qNK8/3nz59nxy6npvmp49PNqU66t/bZdru119/d3V08p3GdxutwONjzyrW7G7ep\n",
       "bp0x6+wDP6N1S2Pg+k3jNuWaRMtze67uHibVze2x9F5T1tvPfj9lTHU/nfapLm9pO1O9umuouz7t\n",
       "cVPZKo3RGNdpTUv092lf42i9N5uNvT49Z4zzvXPtV86nMXNjoGWl/OyeQas+ts29N0hzROud9p2u\n",
       "nfp8NCU2qnpzKunuedx5LWvqs7lye6TuHnfKc2HVeZ5MeabbD2k8XVu1Xakdad+pbXP3TvfSPWua\n",
       "g2NbUh9325nixb2j6u47u3Wb8pyoOS+tHY7uBdLakNYC7Ycpeav7rs3Fj5aVYqO7X3ZzrPucmN6F\n",
       "d2JxyjvAqv57gY4US91Yc3uH9D5a+ynFrbuXjl/KDd0558a/22fp3m4fo3No6ru2zvNXqnf3/XXa\n",
       "K4z3S32c1jzNFd1+uVSvqunvdcfzad+QdNeWzpqY1oLUTh1DF2vpXlpWWo/deHbXy7S26Hl379TO\n",
       "qfc+O9e6EwAAAAAAAAAAAADgfyw+IAMAAAAAAAAAAAAAqooPyAAAAAAAAAAAAACAd3xABgAAAAAA\n",
       "AAAAAABUFR+QAQAAAAAAAAAAAADvZpvN5s1dcHXlvzGvVquz47c3W5w9fzqdzo4Xi4Ut63A42PPz\n",
       "+fzsWOs6enl5sWVpvVM7Z7PZxXPap6msrinl6W+Xy+WkuoxjkMYrxZrWxZWX6q3jk8Y/xeLr6+uX\n",
       "r31+frbnj8fj2bGLpSrfb1rWer22ZemcScZ2d+r1mdRvjvZp6rM0Bh2p3tqnKdZc3bRdqR1pDHS+\n",
       "u/hwY131cT5OjbWxvM1mY6/d7/f2vPZburcbUx0/XbeUW3e0blPzkM731M7O/E1lpfMaqymeHO2H\n",
       "NA9cv3bzVFpfO+Wl8daypua1cV38zvW2yveLjnWKlVQ37Td3fYozrYvOoXS9GuuS7p3GS3NHN16c\n",
       "tEdK99K8t9vtvnzvdK90b9evWq/UzjRGuo49PT1dvLa7f0rj5WKxU6+q3A+dPVFah9L4qRQ74xil\n",
       "tX673drzqZ9GqZ2a81Ifpn3MGA+pnilute7dZ9xL9arKcZ72RMq1Jd1L18S0Rnb2dmk8O8+F6frO\n",
       "2l2Vx9PFj86RFGtpD6seHh5+d1n/u2PN6c73NAdTLH4nrZuLj5SHNB5SrI1r0dRY0vOdfK10fLo5\n",
       "U3Wev1M7Na5T3dz57vvJbl5zbZn6Xk+5+dx9P9ldC1ycpznQfcfQmSdT34VrP6X57/adGoepj9Pz\n",
       "VGe+p73d4+Nj6/pOjkxxfH9/b88r12/ddylpDFw/6Him9bT73mbK3k7b2X2+UuOYTllXqvp7gc4e\n",
       "qptr3Pk0nim36HPm3d2dvd7FWve5MLVT57t7juyueSnW3HOo1iPFWjeHurqlsr7zeyP/AhkAAAAA\n",
       "AAAAAAAAUFV8QAYAAAAAAAAAAAAAvOMDMgAAAAAAAAAAAACgqviADAAAAAAAAAAAAAB4xwdkAAAA\n",
       "AAAAAAAAAEBVVc222+2bu2CxWLQKfHp6suevri5/s57NZmfHy+XSlvX6+mrPa3l6PHp+frZlaV1S\n",
       "O6+vry+eOx6PZ8euT6qq3t7sEH04fzqdLl6b7rXb7c6OHx4e7PVTx2jk6l31cfy22+3Fa9P4rFar\n",
       "s+M0/pvNxp4f25nakeaU/n69XtvrNZ7cvdJ4uLI++73242g+n9uyXl5eWnVz99LxTnGe7qXj7cbU\n",
       "5ZWqj7GV+sXR+XY4HH53WZ/VRcfEXau0nWkMkjHuU1ymHKn9lsbf9YOW5a797Ho1jmGKpXRe+zzl\n",
       "rbu7O3vela1SntJYdWOQxkfzWqqbGyPtozSeKRZvb2/Pjt1alNYdjeu0dnT6IZWldUtzzLXFrdWf\n",
       "SffS+HBtSeux9lmaY6luY57c7/eTykq5Q3Vy7tR7d9bvFOeaO9L1boy0D9JeMK1rGltu/k9Z2z/j\n",
       "+lTHp5t/lY7nlLbob9N4pvPjGLh9YFWecxo7bh5019u0bqU+HX+f1qE03lr3KXv/zn64qpcj0727\n",
       "7yCm5O/uc2Gqm8ZiJ28prUvKz+5e3XcQ3b38lOcI/W3aw6b9WOc5ovsuJsWamyc6fqms7vsup/t+\n",
       "JM3nTnykvKbxke7duVd3T6O0nZ2cqXQ8O8+Jqrvepv24xseUvYCO35SydHzSeKW9gv7e9VsqS9uZ\n",
       "ck1aO8a6dffPqW4pV7h+1XqnvUDS2UO59+pVH9fblDPdPND5NjV36BhMWSM7ub7Kt1PjdGqu77yL\n",
       "7e5xu2uHO39/f2+vTX2s+SD1i8sH3fW2804j9Ul3L5/a6fKkzsfuty3V+caXxlPjtjvHfm+9vkL7\n",
       "vPM+U2kcpjnlzvMvkAEAAAAAAAAAAAAAVcUHZAAAAAAAAAAAAADAOz4gAwAAAAAAAAAAAACqig/I\n",
       "AAAAAAAAAAAAAIB3fEAGAAAAAAAAAAAAAFRV1SJdcDwe7fnNZnNe4MIX+fr6evHc1dX59+ynpydb\n",
       "VrrXy8uLLX80n89tWafTqXXv2Wx28Zz+9u3tzZaV7nV/f392vF6vL17r+v+z864dXzGOQSprtVr9\n",
       "7rJVaudyuTw7fn5+ttd3+s3FWVUebz2f+k3bMtL5u9vtbFlJ6qdRqrf2U+o3nYMj7YOUt7bbrT3f\n",
       "GYPueLq4rfJ9rO3S/KtS3GpdXK5x/f9ZXabOqYeHh9/+O8VGOq91Sdc7ui6ltSOtY2NdUr2662u6\n",
       "t8u5Wpc0nik+dB64dSrlDq1Lut6Nkc6pNAbpXroeu5ybytL5mXJHykVjv6W41T5O67Prt25+PhwO\n",
       "9rzGjssl3b3Afr9vXe+kWEpjoHVP17v76XimdqT5rFxuSnHe3fO4uuk6NKXPqnIsjtL801yQrn98\n",
       "fLx4Tudjitvuc4Ybg9SnqS6qs+6lstN813u5tnT7LM2ZlL/H8lIfd3L9V8pL50dp/3x3d2fPa2y5\n",
       "NTLtYbTPU93cfNbxSfvrtCfS37sx6z7npbzk5pSun1P36jp+bszSuqN91H1nocYxTXMmjYHea8r7\n",
       "Lr1X9xlG6e9dW1Nc6/4s9dvNzc1v/53yc3fPM2XPq32c+jCNf2fMuvVOa4eLJW3X7e2tLSuNkZbX\n",
       "3QuONDeke7vnjO5zfBoD5ca/Oz/T81InPqaOp0rvAd080bid8i6lqrfvSPsK907hMy6utZ1pvU05\n",
       "Vcfb7VNSn2p+TnXrrENJ5x1wlW9LWj87a1pVb76nfUj3PX56p9EpK8Vx2vOMYzp1z6NjlPq4811m\n",
       "6revTuym8dG6pHunuo9Sn6W1QvNU531mqsuU/M2/QAYAAAAAAAAAAAAAVBUfkAEAAAAAAAAAAAAA\n",
       "7/iADAAAAAAAAAAAAACoKj4gAwAAAAAAAAAAAADe8QEZAAAAAAAAAAAAAFBVfEAGAAAAAAAAAAAA\n",
       "ALzjAzIAAAAAAAAAAAAAoKqqZtfX129TCtjtdmfHp9PJXv/8/Hzx3NvbeVUWi4UtK90rlT+az+f2\n",
       "t6+vr2fHqW4vLy9frlcqK9nv92fHP378uHht6jNtpxuvqqrlcmnPH49He3708+dPe/7u7u7LZaV6\n",
       "zWazs+PUztVqZc+Pv7++vrbXHg6HVt1SH+qYjTSutWyV4lZ/f3V1+f9BcfWq+hj3rqwqP0ZaVmpH\n",
       "Gm9tpyuvO39Tv7h+0BzmclpVrpv+3vVLypGdnFfVi4/Uzm6spbq6tupvU65J5x8fH3/77/V6ba9N\n",
       "7VQp33fmb+qz1E79/Waz+fK1qpsjXTt1D/P09GTL0vVW/eEPfzg7HsdXpbjWeEjj2ZknaS3o5MCq\n",
       "j/040jUv5d+0Fuh83m63F6+9v7+3ZWncTt0LjLkjxUqazzoG6d6uPO2zdO9ujnRzMMWaSnGc1qJR\n",
       "iqV0PuWDTlk6n1N8uL3kw8PD2XHqk3Rex8/tHdxcr/q4V0/90lm/pz4Xdp4b3RpV1V8jU1yP/ZSu\n",
       "TXNK81qqmzuv95r6/Ks51u0dus+gaXzdPNDxTH3czVPu+jRHtF1TxkDLSvfuxpprZ2cOfOXeae83\n",
       "5ty0fmpOVanuHdqulJ9TP6R5Mkp7dV3zUqyNYzA1N+gYpXa79VnrMjWWdN1z8ybFkrZzyvsPHc8U\n",
       "S9010s2bVJb+tvNOUKU+6tJ4cPExdS1QaR6MbU3zNdFn0O6znzuXYi3V/b//+7/Pjt07kO5zYZqD\n",
       "LlfpeKZ2pLynz8Cdd0yq8/xT1VuP0/xMe+LOs14336ZnsfT+bOxX916mKvexPpulZzk3BjreKZY6\n",
       "45+u7e7HUr534691mfqspnPS5YcUl3qvKfm+s658RWfv3/3GM+UbAv8CGQAAAAAAAAAAAABQVXxA\n",
       "BgAAAAAAAAAAAAC84wMyAAAAAAAAAAAAAKCq+IAMAAAAAAAAAAAAAHjHB2QAAAAAAAAAAAAAQFVV\n",
       "zTabzZu74OrKf2O+ubk5O35+frbXPz09ffleLy8vtqzZbGbPa3mvr69fvla9vZ1302q1ste7ftB2\n",
       "zefz1r2V/v54PF68drlc2rL0t6mPXZ9+5X6jbj+4dq7Xa1uW1jvFbSpv9Pj4aM/vdjt7XtuZ6pbi\n",
       "Y3Q6nez57XZrz2td3Pinsdc5l+q2WCwuntM4TbnDlfXZ711bXE77THc+u99OzZFanuuXdC+NhdTH\n",
       "yVhemn8uF1TlOaRub2+/fG2K23TvMbZSWWk8tc9Tv7j5q2tcys+Hw8Ge17qn8jrSOuTmnJ5LZaUc\n",
       "qb9386bbB6luKdbGMUhldXJgVS93pP1WyjV63t079clms2ndO+W1MZ5SWd1+SG25vr6+eE7nZ2pH\n",
       "ig+dz+76VJbWJa2RLg/qb9McS2Ok+7X7+/vfVa+qj/2Q1jU33tpnU2NN9606L9y9VVp3VGcPm9qZ\n",
       "+jStsZ2ydLzTXrCzX0v5trsXSOuziw89191Xpro5+/2+VdaU2NSY//XrV+veSvvJ9Vuan909rMt7\n",
       "Wu8Ut6lumtfcHim1Q8fH5aHPrlep7qO0VmhZqS2dfcmUsqo+5io3b7q5o/MOIu2P03ilunVovbtx\n",
       "rDrPy917pZzpyus+w6Q413zg1sHuPjFxa6SemxprWne35qY+67wb60pzP81PfU+f9gJuj9R9Luz2\n",
       "gysvtVPv1c3nI50DaQzSvXQOuT5O67G2M+Uat4ZqWVPf+Wt8uLzWfTZLe4HO3iK9h0/v8bvPX524\n",
       "Tn2cxnt8dzf1ubAbH648zcedvdlnNH5cealPdT6mdrp+1bne3bsrnUOd95nJlGc5/gUyAAAAAAAA\n",
       "AAAAAKCq+IAMAAAAAAAAAAAAAHjHB2QAAAAAAAAAAAAAQFXxARkAAAAAAAAAAAAA8I4PyAAAAAAA\n",
       "AAAAAACAqqqabbfbN3fBer22Bdzc3Jwdn04ne/2vX78unlssFvZYXV35799al+Vy+eVr1evr69nx\n",
       "25vttlj30Ww2s+fTvbRuzsvLiz2/Wq3Ojo/Ho70+1W1sWxqvdF776fn5+eK12o7k8fHRnt/tdvb8\n",
       "2K9p7FOfHQ6Hs+Op5Y1SrM3n89a93Bik8VQpNt38Va5eVXk8dQxc3VI7tc82m03r+tHDw8PZccrP\n",
       "KTd0ckeicZriMo3RKPWZjpfq5OOq3pxKuebp6cme78yT1A7th9Rv+/3+4jn9bRqv71wTU1k6H1Pe\n",
       "cnlP+yzlmXQvrZtry3eWVZXze6csHX8XK1W+37ReaV+RxkD7xcV5mn86Bmkd6sR5Kqu7dqTrOzl1\n",
       "Kh1TV7cUl7r/Tn3cyZlpDNIc7MSHPg8pjR6FX+cAACAASURBVMX03OHo2j11L9DRffbqXq/G/VrK\n",
       "Hd1Yc+v31Fyg0l5hzHvpmaS7FqS9gMuTOn4pz3TXtSm5ozsP3F5R75XakeJW2+X2QN8Zt1V+nmi7\n",
       "0v759vbWntdYdf2W8pC2K41Bmidjn6c5k3KL1iXlNTfeOt+6ewGlz7SuPPcerqr//uSr963qr3lp\n",
       "/F0u6o5X2nfe3d19+fqUI7UuqW5uLdJ6TN0nai5yuambn9P8d3XX33bfVyn9vVsD05zQe6V7p3kw\n",
       "1m1qO/VeaS/Qea83ZTyres8R6Vmu+57H0TmV5kw633k/lsrqvAut8rmj+96u+03g+vr64rXpnYLG\n",
       "QjfXuPLStakfuvHhYlPrMvVdeOe5pLu+prI7e4d0b33frTrvR7r7zjSe7jnju59/dbxTHnS6ezv7\n",
       "7eN31wIAAAAAAAAAAAAA8D8KH5ABAAAAAAAAAAAAAFXFB2QAAAAAAAAAAAAAwDs+IAMAAAAAAAAA\n",
       "AAAAqooPyAAAAAAAAAAAAACAd7MfP3682QtmM1vA3/7t354d/8d//Ie9/vHx8eK5tzdblQ/m87k9\n",
       "//r6enZ8dXX5e3kq63g8nh2num6324vnnp+fW/c+HA72/GazOTt2fbxarWxZOt7ah+l6NfZTKmux\n",
       "WNjz+nvXb+leGgvp3mm80/06ZekY3d/f2+tT/HSksp6ens6ONfZGGudKYyf1i4s1rXe6d3e83Rx0\n",
       "eeUzy+XSnnd1f3l5ad27m9dcv6R7aZ9pXVXKRePvp86/7hi5WNO6pD5er9f2/NjO0+n0u+v1Wd1S\n",
       "v7nx1rmeykp9nMa7oxtrbox0Pmq7VYo1rYsbM5c/q3rzM91L7+f2CVU5hyqX17T/Uyyl8VQu9lI7\n",
       "9LfddquxrVPmX9XH8e+Mr9I+TeOfYlP7yY1BmlOaI1MedPfSPkp9nGJN57uL8+4eJsWay1t6r84e\n",
       "9DOpn0bu+abqY2xN2dvp+RQbaX+lfer2dqksjeup+XnspxQb6bzOqTRmmmtG3fydnlm1n1y/pfmp\n",
       "/ZD2GW6e6L1Sn3X3nalfnO4YuPy93+/PjlNcpjmn99LyR2mO6Pil8U/9MPbb1P21xlp3jRx13mdU\n",
       "5X7o5O9UlrYr9duYa9zYV/XG6yvXd94bdtaZz3T2KamPNTdMeQ/YfW+X7qXluZzafTZP17s+1f7v\n",
       "7t1U5zmj+84oxVLaW4y/T/vntBfY7XZnx1P2itrO9NzfHSNXXuqzh4eHs+O0frtY03p03yGl8tyY\n",
       "dt8LTHkHrPWauldP5XfupTlv6hr5ne+gVNrbuTna2Q9X5TEY51T3e4NyzwWf6cyT9G409YPOITf+\n",
       "3/1NyM3f7vur6+tre/7u7u7s2OXB7nv67jvls3vZXwIAAAAAAAAAAAAA/p/BB2QAAAAAAAAAAAAA\n",
       "QFXxARkAAAAAAAAAAAAA8I4PyAAAAAAAAAAAAACAqqqa/dVf/ZX9C9s/f/60BfzDP/zD2fG//Mu/\n",
       "2Ov//d///eI5/cPT6Q9Rp/P6B9fdH4NOZekftT+dTvZ6d6/uH7xPf8Rc6+b+WHj6Q++73e7rFfuC\n",
       "8Q/Hpz/m7v4weNXHdrk/St8tK/0h+fQH2Me6pD8M//j4aM9348O1Vf/Q+3a7tWWlWOvc+/7+3v5W\n",
       "25liz8Wu/uH41IfpD81rv6XrHf0j9Sl3uDHSemnZKs25xWLx5bqlOaV1S2Og91bjeKf+T/2g90rX\n",
       "u9yifar5V6WcO7YtldWdnylvufjQPuuut0pjy41/ils978Yr0Xyd7j21H0ZpTmmcprUj1X2sW2qH\n",
       "jk93fEc6f1NcJtpOV7c017t1SeWN59N4pHt39rBd3bVBdfJ9ivPu3t/12/X19dlxmjM3Nzf2vMb1\n",
       "lOcI7Yd0vbuX5q27uztbVlpbtC5uT5zWNI2FtH6n8+O6l65Nc6qzl+uOZ5pTae831m3qXNffp/nc\n",
       "eWbtPA99hcsPaQw0H6fxdXXTOZXGK9G6uz7uPmOk612/aTtTH3fr4srrzs9Ut04/pDmV3gN056Rr\n",
       "q8b81D2R9pNbj1Ncaz909sTp2vQOQufnlNjsxlLa22m/ubzVfTb/7n2qk/byei93fapXJy6r/Hzu\n",
       "5NOq/C5uv9+fHbv5n9Y0rXfaI/3hD3+w58f9dXcfkkxZI7s5sDvndP8+enh4aN17yp6nsx+umvZ8\n",
       "3KlX1ce6dd8jjHSsU35Ocd3ZQ+n8U+mZRXX2Ct35rLTPv/ObUIrb9B5wrHuKjVRv7afO+w+la8XU\n",
       "50Ktu/uGkOqt7wnSvd3aon2WYu071+N0L+2HlGvcHORfIAMAAAAAAAAAAAAAqooPyAAAAAAAAAAA\n",
       "AACAd3xABgAAAAAAAAAAAABUFR+QAQAAAAAAAAAAAADv+IAMAAAAAAAAAAAAAKgqPiADAAAAAAAA\n",
       "AAAAAN7xARkAAAAAAAAAAAAAUFV8QAYAAAAAAAAAAAAAvFv84z/+o73gr//6r+35f/qnfzo7/ud/\n",
       "/md7/f/6X//r4rmXl5ez47e3N1vW1VXv+/dqtbp4bjabtcrabDb2vLZldHNzc3Z8PB5tWT9//rTn\n",
       "D4fD2bHrt1Tv5+fns2PXjqqqp6cne/6Pf/zjb//9+Phor03W6/XZsWvneN/P/OUvfzk7Tu1MY/Tj\n",
       "x4/f/jv1SRpPjcXlcmmvf3h4uHhOxzu18/X11Z7Xurjr//CHP9iy9vt9q25u/mo9Up+dTid7Xn+v\n",
       "82LUrXc3b410PF29qqoWi4U9r3NyPp9fvPb29taWpX262+3s9WlOjXVJ7UhjoHMq5XvNNSOd32nO\n",
       "pPNjO3VOqNROjVs3num8ritJupfGvZujqR80Htx4Vfm1QuvdjSWVfv+/U5onY1vT/krzVpqvLq9p\n",
       "vVJspT7W8ty93fpY9TGnpnt3xj/l+jQGGptpjt3f3188p/Xebre2rDTeyrUljYGuFSlnOjr/pq4d\n",
       "2i43/mk8Ne7TeLp7pT5Vac+jdUn7WEfnlIvLqrxfG8cojWf3Wc6NWRpPXafS81Ua707cp37Q3JP2\n",
       "iq7fumtaqpvG4pQ5pe1KfezK0/5P7U7jrfdy905rhZ5P89/1g87tNP9Snyo3nt1nljQn0hiNe8OU\n",
       "A1OsqVReio9RWm9TP+ga6vql+/6qs0amOE7rit4r7VNcrtF7TXn2/uz3U8vr6Lz/SGtg9z2Pex5L\n",
       "ub57vcsPnb1YVX7n2Nl3prmu45PmWJoHY86d+sypfTol33ffpaRY07znyuvOtzRmjr5TSGtgeqbt\n",
       "1L27DqWyXXxoLKR1KMW17vXde8Dr62tblrarOwfV2Lapz/kqjcH4jUBp7KSy0vxN789G6XuE5o60\n",
       "f3Prtf429XFqR+dbWoq17h7XtVPnb/fZO5Xn3nd23yml9di1k3+BDAAAAAAAAAAAAACoKj4gAwAA\n",
       "AAAAAAAAAADe8QEZAAAAAAAAAAAAAFBVfEAGAAAAAAAAAAAAALzjAzIAAAAAAAAAAAAAoKqqFi8v\n",
       "L/aCdP75+fns+O///u/t9X/zN39z8dzd3d3Z8ePjoy1rs9nY8w8PD2fHV1eXv5ev1+tvKyvVTdu1\n",
       "XC5tWafTyZ6fz+dnx/f39xevvbm5sWVpPxwOB3v9z58/7fnj8fjbf2s9VeqHt7e3s2M3Bq4PPvvt\n",
       "YrGw189mM3v+9fX1t/9O7dBYSvdKdXPnNXbSnJkai51rtZ0pPtx5jVPNS926pX4aXV9f2/P7/f7s\n",
       "eLfb2etd3XQOjHHXLauq6o9//OPZsZvvKR9r7Gi7u8bxnhIbVR/7IV3v6q45UsdEpbVi/H26NuUh\n",
       "ldZvV3cdz9VqZctK4611cXkw5Tyt97jOfMaNt94rlZX2Csr1ccpTKU6nSHHb7RcXm09PT2fHqV1p\n",
       "HigXe905lcYkGedJyr8plrTP0/zvrFvd9VlpfnD9lvYVuu6kXOPGVOM6tTONt96rc+8krd9uDHSs\n",
       "UzvSeHbHwNFnuRTnqW7j+anPrNvt9uzY9Vuql/ZRyjVpjMacm2IpldXNY25fqnGa6pbGQPN/Zx+i\n",
       "tM9Tu115Ot5p/L+zj3/9+mV/q32W5qfrU21Xes5P+zHl+jjlY613GoM058bznWs/o3VJce72uBoL\n",
       "mpdUWiv0vLs+laX9kNo59kvag6RY6+SGqo97S1dWkmJNY9fVLfWxzqm0Rqbn76/Wqyr3i9bdXZ/u\n",
       "pe1K/eLK07Km5PrPuLql8dF6d3OmGufclHeAVR/HL8V555k1jX8aA62be5ZL7dS6pVzk4qfzrvMr\n",
       "91Kd9Vl15mc6r7k9rYHpPYDuS9x4pj7r7gU67246e/HP6O9TnLtvEppbus9qatxLpPFM3yP09+l9\n",
       "tytPxzPljtvbW3tex9vtU7rzc8q7WD3X3W+pFNejtFfTuE7zwI0R/wIZAAAAAAAAAAAAAFBVfEAG\n",
       "AAAAAAAAAAAAALzjAzIAAAAAAAAAAAAAoKr4gAwAAAAAAAAAAAAAeMcHZAAAAAAAAAAAAABAVVXN\n",
       "/vznP7+5C1arlS3gH//xH8+O//Vf/9Ve/2//9m8Xzy2XS/tbtd/v7XktbzabXbz26enJlvX6+vrl\n",
       "sr5yfnR15b/jz+dze/7l5eXseLFYXLxW26F0vFO/pLq9vf3/4aX1VMfj0Z6/vr4+O3blpf7Xfkhj\n",
       "kOaBK1uldqZ+Um4Mnp+fz45TO/R6pbHl7v34+GjL2u12Z8djrHzG9avG6WazsWWdTid7Xuviyktl\n",
       "aT/c3t7a692cW6/X9rfqcDjY89ou18cpdjQfp9yQ8v1Y93TvNKdUyg8uFnUOpPmezo+5J12b5khn\n",
       "3anyY5Tu1b23jrfLc+neej7NQZfftQ9SDkxx3dG919TxH893+7iz1qsU18rtYao+jrfLz929XdoL\n",
       "pH4bf5/y1v/Jfaf2acqZKT/r/O3sQ1Q3b7kx6D5HpP2Wnnfxkdqpe54pY6C/7awzn+nM9zQHvnuN\n",
       "HOd3uneaU9vt9uzYPUd251uqW4q1sc9Tn9zc3Njz2q5unI+6cZvyt/7exXkaA51zqd9cXHefvfSZ\n",
       "VKV8MOo+/6T57O7dzbcpp+p67NrSWT+rpu3Vq87X4LRPTLlD51yaB67uei7VLT3Taj9MWac6a3vV\n",
       "eVvStanPOnu7pJufU93TO41RqreOwZS9vfbpz58/bVkpzvVeU97zaBxO2adon3bboTr5OdF9RXct\n",
       "UWOfpznT3V9PeYbt/rb7nOn6La15GltpH+KezzS2Uh+nd3M6hu7e6V7aZ+nenVhM16Y+1bq52E3P\n",
       "x9qulDvS+87x95017TNa9ym5RO+VxiDNg7G8tHdL39G0LmnP68Zb65LyWvfbV2c+K+3TVDc357p5\n",
       "qLtWuFj7zn1ilZ8H/AtkAAAAAAAAAAAAAEBV8QEZAAAAAAAAAAAAAPCOD8gAAAAAAAAAAAAAgKri\n",
       "AzIAAAAAAAAAAAAA4N3sj3/8o/8L98Hf/d3fnR3/5S9/sde7P9itfxg6/VHy9Mef9Q9Xu/JSWfrH\n",
       "vNMf2HblnU6ns+P0h+QT/SPX7t6p3no+/QH21G/jH+zWP97dpf2k/Thyf/j7s/Pp+lT38Q+qpz/W\n",
       "nv4wvP4+Xd/5g+pTx0Dr5vrNjU/Vxz9CP+UPzWsfpXunuNZ7Tek3/e2U+a5lpXql+a5j4Po43Utz\n",
       "gSurKs+5cYxSO7pzJF3/+vp68VzKeaoTO2nNS3NE75X6OJU3SuN5OBzs+d1u9233ur29PTv+z//8\n",
       "T3u9m+8aC524/IzGjovdNN5al5ubG3t9ynsurpXGUqpr6pdRmkPpXsq1K42n1kVzokpxPsZTmvup\n",
       "ndquKWuH7r3TeKV+0PJcTk3t3G63Z8dT92Ojx8dHe747n10eS/NP81pn/5zqlda07jOOa0vqfz2f\n",
       "8k6q+zhGU9eZh4eHs2MX56neGrdp7++ef7UuU/Yon0mx6ca0s0+o+t7nr7T307qlfus8N6Y5k/Yp\n",
       "mq/d9anPumuio7HTfZeiOvvrFIfdMUj9NrY1lZXmlM6RKf2m90o5tZsPXLxo3lKax1K/jOf1nYNK\n",
       "4699mq53fdzNz92c6u6dxlNzwZT1W/uo+6yezk95HtY4TNe78dbfplhLdAzcWpPGp/uOKJU35rV0\n",
       "bdoT6TqU4tytUzoGaf+c5q+Oobu++06pu9Y4U/cCmotcfk710jw2ZY3svgvv3svlSN2LK/1t6uNO\n",
       "/k7t7O7t0vzvvCtPc6qTD9JzfOoHfZ5Kz9NuDLSPpr4j7lyfYkNj7fr62l7vYlfndto/d/ZXVX78\n",
       "u88RKZbsWmB/CQAAAAAAAAAAAAD4fwYfkAEAAAAAAAAAAAAAVcUHZAAAAAAAAAAAAADAOz4gAwAA\n",
       "AAAAAAAAAACqig/IAAAAAAAAAAAAAIB3fEAGAAAAAAAAAAAAAFQVH5ABAAAAAAAAAAAAAO/4gAwA\n",
       "AAAAAAAAAAAAqKqq2e3t7Zu9YDazBfz5z38+O358fLTX393dXTz3+vpqj9VyubTnn56ezo7X67W9\n",
       "3rm6Ov/Wnvrl7e1yt+q5VK/D4WDPp7p0rj2dTl8uq6pqPp/b82NbX15e7LXax+n8YrG4eG1qh45B\n",
       "asdut7Pnj8fjb/+d4vb5+dmeV50+TufctVW5blqXNAcd7adUlhtTrXeaU6mdGltu3qTx1rh3cfvZ\n",
       "9e5eqZ1pvHVOuTmY2qn5Nun0Q7r3dru158f5WZX7xY33d8/fTv5O9dY+TTk39eso5efUTp2/7vp0\n",
       "Lx2DFEtunuj6mtaOdC/tUzdmqSxtZxqvTnmpj7u5xsWaxnh3n6G0T1er1cVru7m+Myc+M7Yt5aXU\n",
       "DzpHUlvcPkV/OzXOtW6u31Ie0vMpJ7rx1nalnHl9fW3P6zONu3eKHV2HpuwFtI9SWenZTGPHtaU7\n",
       "p9L1rk+1LimWkhQPo+461GnHZ8YxTfVM6213z+Paqr9N/ZJofHSeYdL5FGudZ5YpfVb1MRe5Odrd\n",
       "J6b9titP4zC1I/WZ9rmbo933Nmk801oxtm3KM2bVx/mtc0y5MdDYmvq+S3XWDtWNj/F89xlFfeez\n",
       "mkp9vNls7HldQ93+LsWG1ju1041/95k00fF2/dZ9juje25WV1tvUL533H91c330eVuM82e/39tr0\n",
       "bKZ17+4d3G9Tv6R1qvMsl2h8pHu7+a7jM3Xt6Dxnphyp7UrPMC5H6vuPlIdSjtTyXL+lPtM4TGMw\n",
       "te6j7nv8NKecbjvTvca6pXcQ7ptc1cdYTLHpxlRzRedZ7DNTf+/KSmW7ftU50H2OVJ3YSs/HWtaU\n",
       "52n+BTIAAAAAAAAAAAAAoKr4gAwAAAAAAAAAAAAAeMcHZAAAAAAAAAAAAABAVfEBGQAAAAAAAAAA\n",
       "AADwjg/IAAAAAAAAAAAAAICqqprtdrs3e8FsZgv4+fPn2fHd3Z29/vn5+cv3Svd+eXmx56+uzr+P\n",
       "L5fL31WvqqrX19cvl1VVNZ/PL557enpqlXU6nez5xWJxdqx1Hb292eH+8FstW3XGII1novfS8e3Q\n",
       "fnDj9RXjGKbxSrGm7Up1c/fTdq7Xa1uWi52qj3V3Y5D6YbfbnR2ndu73+y/XS8tWh8PBnte4d23p\n",
       "xk6ag27O6RxK99Zco3S8V6vVxWvTXNd2pfl5PB7t+XFOpRzZle6d5skoxXmn39J9U1ldrjyNhTRn\n",
       "NptN614uPtL4bLfbs+P7+3t7vYsfrVda89wcqfpYdzff05qY6qJSLI7zPeUO7bO0NqQxG01tt9bF\n",
       "tTvlDq1L6sM0/mPdp87X1Oeqs06ldSiNUTc/ODpGKTZd3XSfkMrqrt9uTNN46726c3Ck/Z3mTBof\n",
       "zaku9rp774eHB3v+9vbWnh/7NfVxitsU96PuXj3dO4332LZ075TXdA+cxsDVTfus2y9KY83tU1Of\n",
       "aV3S+LocqXuYlH/Tea27i91Ub90bpr29o3HavbfS37tYu7m5sWXp+HTm62fG3095Z1D1cfymPJd0\n",
       "33d131HpHBulPY6e7zyXTM3Pen7K+7Fu7KS9XWfOdduZ8pxri459Ny+pzjNRupe2s3v9SGMhxXGi\n",
       "fereG7n3T1Ufc0vab6UxGPu8+xygtJ/S+zEX5533zV+hucWNabqXzt/0TOrWA421qe+MHh8fz47d\n",
       "nEq5XmMnXe/ezWi7uu9xlMa9i/P0zKLzM9071X2cwymW0hzprpGd5+NuflZj7Ka8lfZjWu8p76+7\n",
       "74iTzh4q9YPWu7t+j3R8puZI5crrPv+muHW5hX+BDAAAAAAAAAAAAACoKj4gAwAAAAAAAAAAAADe\n",
       "8QEZAAAAAAAAAAAAAFBVfEAGAAAAAAAAAAAAALzjAzIAAAAAAAAAAAAAoKqqFrPZzF7w+vpqzx+P\n",
       "x7Pj1Wplr396erp4brlcnh2/vLzYst7e3ux5/f18Pr947dWV/5audTscDvb6xWLx5bJSO9MY6Xl3\n",
       "vd5b7ff7s+PUx+n82K+u/7tlVX2MvVHq081mY4+Vu5feL82Z1A86funebky1rOfnZ1tW6je9l5s3\n",
       "aTy1XWkOurpdX1+fHac5080dbkxTzuvEbZXPkVpWamcaT81TU9qp9XY5sKpqvV7b82M/TW1nd51y\n",
       "+f3m5ubs+HQ62bJSrI11Sbmju16nXONorthut/b6NAZanmtLygU6Pmk8HR2f7jqkNB5c3VI+1nZq\n",
       "nlNpfR/v121HKtvNdz3nctxX6qZx7q5Pc0rzUGpnqvt4Pu0r0pzR82kOujml51K/pHmgNC+OHh8f\n",
       "7W91/Kbs/Tv74a/o9EOKW83H3ZzpykrPJN2cmtZvR3PHz58/W/dWY11Sztztdva8zl+3fqd1Rccv\n",
       "5Y4US2OsTn1e0nZ2c+ootUulPe79/f3ZsatbGm+tW8pr7l463t31WekccrkojWeqS4fGVorzdG89\n",
       "79a9tBZ0+uyz69X4+xSXKXZ0vqcxc3XTOEx9nPpBx3TK+5Gu1G+jlIe0nVPqqns7fb+l0hjoeLrx\n",
       "7zzffoVbp7TPpu5hO/k+jb2WNSXOu3vS79yPpef8tO9QqS1jv373e550feeZdcp7u6qP/drZ2yv9\n",
       "bTefu3NpTqT5rHVzbUnrsbYrPWe62NW4TXHe/V7hnlm7+6c0nim/jzm5++yttM+7cT7q7nk6z7Tp\n",
       "nUGi7Uxj5urWzR2pnVqeeweRytL5m9Ypt77rb6fsEz/7vSuvu0amvYDDv0AGAAAAAAAAAAAAAFQV\n",
       "H5ABAAAAAAAAAAAAAO/4gAwAAAAAAAAAAAAAqCo+IAMAAAAAAAAAAAAA3s222639i8vpj5brH61O\n",
       "f3ja/aFx/W36o/VT/zD1KP3x9fTHvpWr22q1+vK1X6F/BHs+n1+8NrWj+4fh0xiN/erqVZVjrSPV\n",
       "W+syNZbGfri/v7fX6vgrHSP94+7K9av26XfOmSr/B9hTO/X84+Ojvd61U8+lPwyfYlHHwF3fHZ80\n",
       "B9080PmW8lYab62LG7PZbGbLOhwOXy6rKtd9vV7/9t+pz1LdTqeTPd+R7qVSLhr7acr6+ZlUV3de\n",
       "+zzl5zTeGotu3nTzVIoPV562q5sDlY5hJz8rrffUvcI43t09Taqri13t07RvSHGudXFx3M2BqZ2d\n",
       "OZXyzpjjPtNdv12/ap+mPu722++tV9XHtSDlks54T10bOu1MsaO5oDv/R9+5V6v6OEau31K9tW5T\n",
       "89Z4vzRe+gyjdN1x45viVnXXZzW2M+1Ru/uxFC+uvG670pzplJf6QXPFd87nNGcSrbvLa+leOj6p\n",
       "HW491t+m+ZnGQH/v5k3a43b2T1U5F22329/+O/Vxd81LbdntdhfP6fNuyluJ5jVXt+47iM46NWUv\n",
       "XtUff3de50zKO93nr847iXSvKe3UstLakO6la4V7Vkt9pvca5+Nn7u7uLp7T/XK6d1rz0u9HKXa0\n",
       "z9O9Uz9MXXtGOuemzFGtV3qGSfNd+83Fbncvn/ZvrjxtZ8qZut9Suha46ztxWdV/n+nuleK2+97A\n",
       "6b6nT/3SGaOpcdt9Nnf9pmV1nzvU2K9T37XoGKTrO98E0l79+vranu/OE2fqs9tIxzOVnWIxfWMY\n",
       "pRyp8dB91zbiXyADAAAAAAAAAAAAAKqKD8gAAAAAAAAAAAAAgHd8QAYAAAAAAAAAAAAAVBUfkAEA\n",
       "AAAAAAAAAAAA7/iADAAAAAAAAAAAAACoKj4gAwAAAAAAAAAAAADe8QEZAAAAAAAAAAAAAFBVfEAG\n",
       "AAAAAAAAAAAAALxbvL6+2gtms5k9//z8fHb89vb2u8vT36a6zedze/50Op0dLxaLi9cul0tb1tXV\n",
       "+bd2bbdyddd7HQ4HW5ard1XVZrM5O3Zj8PLyYsva7/f2fNdY93TvdH69Xp8d6/iOpsaOSnE93k9j\n",
       "pUvvlfrFxYfON9dnn91bbbfbs+Pj8Xjx2jSnnp6ezo7TmLjcoedSWSk+tB9cv6Xx1rh1fVblc4vW\n",
       "I+Xn3W5nzz88PHz53t04TDkyxcc4RlPXKT2fynNjdH19fXac+iUZ75X6RGPJlVWV+8X1g/42ldXJ\n",
       "kVV5XXN0zqV1y/Wr9ll3X6E0Rz4+Pn752nSvFLepvLGf0vxM4606+6uUA9MYaN3dvEjzU+O2Oybu\n",
       "fCor9UN3L6Fr6kj7dOoeSePD9XOan7qHTde72NR6p5ya4kN/765P46Xn0/Uud2g703itVit7XudB\n",
       "p4+VxlaaMzr+TloDU920z6c8R2hspDUwjffY51P36q7sz3T2MSmWUlmdvUAqS+dIWtdcTtbYSXuU\n",
       "FGsaH25M0700dtJ7AzdG3WevpPt+xNF+SP2S5sH4jDO1LJ1DKW995/7are1VH9vm7p2eC+/u7s6O\n",
       "O2tHt55K75XGJOXJjhS3Gudub5H6TPvpO/fjnXXmM1o3d/3t7a0tS/NUig/Xp3outTPlSJ0Hbj+e\n",
       "4lDfC6R767sX1Xl3murWfUfh9lja51Pzls4Tlx86fVaV2+1yRzcPdd93un5L+Vlz+5Q5pWv/lG84\n",
       "VR/jY8o7Yh2fKe+Iq87HtLt/Vp31tqq3TnXff6hxDFJZ7hmz6mM/pXXN9YPWJY1XqpvmKXfv7jun\n",
       "tE9xY6D3SmV187Prt3QvjcPue9sR8itx/AAAIABJREFU/wIZAAAAAAAAAAAAAFBVfEAGAAAAAAAA\n",
       "AAAAALzjAzIAAAAAAAAAAAAAoKr4gAwAAAAAAAAAAAAAeMcHZAAAAAAAAAAAAABAVVXNbm5u3twF\n",
       "b2/2dF1d9b5Bn06ny5WZzVplLRYLe/54PJ4dL5fLVvnuXofDwV6/Xq8vnnt5eTk77rZ7Cr230vFM\n",
       "49/x+vpqz69WK3te+9yNZyrr+fn5y2VV5X7QWHNSP2jspHu7OdWV7qX9OmU+azsfHh5C7S6bz+f2\n",
       "WKUx0POuvJQDdc6lPnbntV5T41bHyLUlxZnWJY1/qtvY1uvra3vtX/7yF3te41bnv3L9qrGQcmq6\n",
       "19hPKW67uSDFppsH2gdT51RnLUn11j5Ne4FOjkzjmfpBY821O9VL51CaU526d/d2KY7dmqt9lu6d\n",
       "7tXZp3TW5qqq3W5nzz89PdnzY93SeHTnc8r3Lj42m40tO91b6frt2priVsc77d8czUNTx0DPu/mf\n",
       "ytIxSLHZeTZI9055K825UXevru1WKdbGtqU+SfdS+/3+4rkUO901Mj03jr9P62m6l55PfezWUI2t\n",
       "FCvdurm2dvcV2+3WXu/qnu7VKasq70tG3b3AlLVAz03d86gpfaxre2pnJz5Sjkz9oOM5dU88SrGU\n",
       "1grtJzcPUqxpu9KeZ1wPUo5L+ysd/9Ru12+6FnRjT2nb3PVp7msspna68UxxO1XnnYTq5hp3Ly0r\n",
       "zb8U551ntbTv6D6rdfZrKQd2352lMXN7KB2/7vOV0jnk6nZzc2PL0vmZ2tlZn1PcpndUus9045/q\n",
       "lfKxct8jUr5WnT6r6u8dRlq39NyR5twYD1P3PBq3U97N6Him+d7JoWm8On1WlcfAzTltZ+pjF7dV\n",
       "H/O7a0vKBdrnU97T6/h01yGl/eDK6747S7Hk+o1/gQwAAAAAAAAAAAAAqCo+IAMAAAAAAAAAAAAA\n",
       "3vEBGQAAAAAAAAAAAABQVXxABgAAAAAAAAAAAAC84wMyAAAAAAAAAAAAAKCqqmbb7fbNXjCbtQpc\n",
       "LBb2/PPz88Vz8/n87Pjl5cWWdXXV+/79+vraun6k/ZDufTwev1yWtlutVit7/nQ6nR2/vV0e0nSv\n",
       "7+7Tsa1u7KuqlsulPf/09PTl67vt1LKV61N1fX1tz6c+09hJ17vz2g/dPk73cvGS+qw733e73cVz\n",
       "Dw8PtmyV8lon76V6p/mrdD6PtF0uz1Tl8VZpjjpatzT+Ka7HtWS/39trXWx8Vpcpa4GWlda8zpqY\n",
       "YimVpePtYqnK94O2s7sOqc6c6uaO78yRKQduNht7XvvB3bu7v0rrc+q38fx6vbbXaj+kPnY5V+M2\n",
       "5a3uPOiMbzqf2pnqdnt7+9t/39/f22vTnNG8lvKzq7v2WSor5ZpOv3XXghTnrt+03mmOpfHs5ntH\n",
       "+zzFmss1j4+PZ8cpP3f3Am6Odtbu7zCOd8pb3VhzdU1rgcZpirXUL2M7U1nf/Szn5lR3nUp10351\n",
       "/dLNUynOXTu32+3Z8eFwsGV9Z6ylsrr528WuxkbKHWm+a5+mPZKj+TjNmc563Xlf8RWp31wO1T5K\n",
       "61B3j/ud+85kjN2Ud7r7yLRXdGOgZaU5k/KWxrm7Po2n/jbd2z0D6zun1Gdp/DXvuT5O7dT1Ot3b\n",
       "xYf2/5T3zVUf+9zVrfMO8CvXp/Ee667rUvdeej6ta24O67n07uXu7q51r9QvTjd3uFjTuE19/J3v\n",
       "Pzqx8dmxcnsi7YO0f+rGjovdND7a56luqY/HfpryPuOz36dc5PK31js943RirbuvVNrOKXtF7VN9\n",
       "hlWpH/T37vru/mlKHurur9IaquW5tnTfbafr7VrQuhMAAAAAAAAAAAAA4H8sPiADAAAAAAAAAAAA\n",
       "AKqKD8gAAAAAAAAAAAAAgHd8QAYAAAAAAAAAAAAAVFXVIv2x5/THndMf1FbuD3rrH3NOf/w71V1/\n",
       "3/3j0qPNZnN2nPrF/QFurVdqZ/qj9ToGT09PF69NfzBd/zh7Gt/UD6PxD9h/Jo2P/oH04/F48dr0\n",
       "R+Z1fG5ubuz1qbxRameK284fTK/ysaa/dbHxFVo39wfWUzu1T11ZVT7Wttvt2XHqMxc7VR/71JWX\n",
       "5q/2eZqDGueurDQ/Uyxqn7t7pzmg511cVuV+G/vp+vraXpviWuMjXe/GSNt1f39vy0r9MI7hlHWl\n",
       "qmq/39vzyvXDbrc7O05zJs05HW8337+zrCo/nqldqrvv6OwFlI7B4+OjvT71w3g+3VvpHki58rpx\n",
       "mdrRyc/L5dKWpXMu5cw0B8dYS7k+nX94eDg7TvnetVXb2WnHV7jxT32axkh1csfUZ5xOP6RcomWl\n",
       "PNfZy6d2pDmldXexlsZL53t3DqpxDDt78c+kPDbq7q/SnErnx35I907PhZ29eqqbxobbJ352vdIx\n",
       "mPLM2s1TLh+kPKVSLHbeG3Sfl9L1bs51c0c3t7jY/PHjhy1L9zjdMVFj3dL8m5KPP+PGQOdIiqVu\n",
       "nLv5nvZ+2ucpZ47Xf+dzX9W093Z6rxTHaZ3q1C2Vpb9Ncd5519p9x6TS8/ao+552Sq7RPu28f/yM\n",
       "zjk3ZikONTa6c0yNdek+PyVp/Xa5SOt9d3dny0rzoPMcmsZA+ynNGZertN5T3+tqeW6N7OwTq3I7\n",
       "3X4s1Vule+l46jNs596dd/5VeY0c65b2w6lu3Xfr7huDxlbneSjVrduOqVyu6u5h0pzT97oul3Tn\n",
       "1JR3rbp+pvyd+kXHyF3ffT5Oa4GLD/4FMgAAAAAAAAAAAACgqviADAAAAAAAAAAAAAB4xwdkAAAA\n",
       "AAAAAAAAAEBV8QEZAAAAAAAAAAAAAPCOD8gAAAAAAAAAAAAAgKqqmq3X6zd3wevrqy1gsVi0bujK\n",
       "m8/nZ8ebzcaW9evXL3t+NpudHbu66r1TWcfj0V6/Xq8vnnt6ejo7/vnzpy3r7u7Onte6d/pYXV2d\n",
       "/z8F2u50vUrxM9J+Sfd6e7scuqleOj6pX/b7/ZfrtlqtJpV1Op3Ojq+vr+31Ly8v9nzn2jTeyrU1\n",
       "jefz8/PZcRozN0barpSXUlxqee7eLg6rPvZpur4znrvdzp4/HA72vPa565dUb42FNP6p7uM8SPdO\n",
       "81dp7Ck3D1JdupbL5W//neIy3VvPT+m37treXStcbKZ+0HulnOvmlObbFEupbvp7NwZpfLTPUjvT\n",
       "nBvbmtqha2SaM65u2s5u/lX6e5dLUg7U8Up7u87aMjU/d/Oaq5vGeZqv6fx35kEtK42/2yton6U+\n",
       "1H5RnfU4zU+V+tjNOf1tqud2u7XnNXe48rrPEVP3POOcSvMv3Uvz2sPDw8Vrx7X5M9oPU/fXY92n\n",
       "7p/0991nopE+s6R+6a6RU2JN75Wud/Ghub87Z5SOd+o3R+vWfWcx0lhIcZvymvapy6kpNrrvIDp7\n",
       "qKn7a/19ut6Nt/b51Hdt+nt377TmdZ/Nx/hIZSfdPY8bA42dVHba+3We5Tt9VpX7zd1LYyPFZdrL\n",
       "K9eW7nNB9z3fSN8Ju7W7Kq+Ruq6l6x0dvzRfO3uF1GcpP3fr5nJRd+3oxoerW5qfWu80B929uu9S\n",
       "pjyzqLRP0D5N93Z7u877iqo8Bp12Tn1Xrjr91t2HKO3zNAbuO4/WJe15Uj4YpfmXcoH2Q7q3i7Xu\n",
       "Xj3dS2PV3TuNZ/d5qZMju/uKdN71Wyor1UW5ZyD+BTIAAAAAAAAAAAAAoKr4gAwAAAAAAAAAAAAA\n",
       "eMcHZAAAAAAAAAAAAABAVfEBGQAAAAAAAAAAAADwjg/IAAAAAAAAAAAAAICq4gMyAAAAAAAAAAAA\n",
       "AOAdH5ABAAAAAAAAAAAAAFXFB2QAAAAAAAAAAAAAwLvZdrt9sxfMZraA+Xx+dnw8Hn93Za6uzr9n\n",
       "v76+2utXq5U9r3VZLBYXr03tTHVRLy8vF8/9/Pnz7Hi/39uyTqeTPb9er8+O394uD2kaH+0jHV/l\n",
       "7lV13m+pHTr+SuvixiTVS++12Wzs9W48lY6Hur+/t+e1nWkM3JjqHHl8fLRlpbrrPHH9nMZAz6c5\n",
       "6Oa7tivlhsPhYM9vt9uzYxe7qZ1al5RL3HmNQ5fTqnKfKhdrT09P9rc6h9L1ab6PUp+lOaL9NiXf\n",
       "629T7kh1H8t7eHiw1y6XS3teYzH1scsd2qcpzlOf6u9d7HbHO9XNzV/t07RGplhLOXSUxkfXijT+\n",
       "Hd39U2r38/PzxXM6nqmsNP56r91ud/FazeXq169ftmx1c3Njz49jlmIh5Ugd7xTnrl91Drg+q8rz\n",
       "QHOqi6dU71S2cvNGz6Wy0pzSfnPlpT7trkOu33QPk9qR7qXtdOWle2nspDhPuWjsh+6zmOrMqc7a\n",
       "XTUtR3bvnfpMx7M7B0farjSnptZ9lPKQ3ivNwc46laS1RZ/tXd7q7klTrDmdOKzKsaP94OZ7d02c\n",
       "kiP19+nalNd0/NK7Gxcf6bcq9UPn+av7fuQ734+le2s70rO6y0WdvXhVboc+s7i2pL293mvKc4fW\n",
       "I8VxN3+7tqR6a65PseTOa0yn/Jv2HTqerl9SO7tx23lv0HlX8hXdfY37bXoH1X3OnDKnVHrf2dnj\n",
       "pvU2vd/uvO9MOVLz2t3dnb3ejUFnDnylbvp7tx9Lc0TvNfV7xFi3tE9MuUPHb8q7tm5ZqR/GMU15\n",
       "K62R+vuUvzvtTLkh7VM734RSvXW80xi4891nre6ccm3pPhdOWVv4F8gAAAAAAAAAAAAAgKriAzIA\n",
       "AAAAAAAAAAAA4B0fkAEAAAAAAAAAAAAAVcUHZAAAAAAAAAAAAADAOz4gAwAAAAAAAAAAAACqqmp2\n",
       "c3Pz5i54eXmxBVxd9b5Bv76+fvncarX63WVVVc1msy9f//Zmu6G22+3Z8ePjo71+s9lcPPf09HR2\n",
       "rPVU6fxyufxy3Vy9fo/j8fjla9O903imMRotFgt7XuvdjWN1e3v723//+vXLXjv1Xsr1m86h1Mca\n",
       "m0rzwdhudTgcbFkatynX6PWj5+fnVllpTukYuThPsaZ1SePv6qZlpTmR6qY6c0xpu9x4feX8/f39\n",
       "l+s1n8/tee2HlL/dGOn4aOyle6ux7ilu0/zVfkhrqBuDu7u7VllpTmmfd2NzpOOT5lQnrlMfd31n\n",
       "vk/rberTsS6pXhqLU3Jqmp9dOkau3aneGtepj1O/jW1NsZTq1t2nuDmqv01zItVdz7tckvpU4yNd\n",
       "/+PHj4vnNB+fTidbVmpnZ5+SytIx6O5DRrq/cn3y2fWq87zUzbepnZ2cO2WPUvVxPPf7/cVrO/m0\n",
       "KvexPkeqMVZTn63Xa3te25nq5ux2u7Nj3Ruo6+tre173Ai6eUqzp+KW1prMep71d2sMq93yV5q/O\n",
       "kTSeLj70tynW0jzQOenunfpU69LNW+582sOmdSet18rdT+M09Uuqm/a5y5OpHZ3xrDrPW2n+pfVY\n",
       "+yxd7+6n7UzvoNL7D72XW7fSnNF2TXmW17LSOtN91+bGoPN8W+XX2yo/Rlqv7n4rledySfe5IM2x\n",
       "TnykvNV9T59yphvvTp6pyvlb+8HlwU4eqsr7EHcvja3UZyl/d6R9hd4rjYGLn+47xUTH083BlNu1\n",
       "rClrgdYlzeeUWzQWu+9TRp3vKFU5d4x1734nU9011M0DPZfmc/ddnIvztLZr3brPfk66d8rvyvVx\n",
       "Gk+dI2lOuXzAv0AGAAAAAAAAAAAAAFQVH5ABAAAAAAAAAAAAAO/4gAwAAAAAAAAAAAAAqCo+IAMA\n",
       "AAAAAAAAAAAA3s02m439i+npDzLrH3tPfyx6t9tdPKd/SDz9QfT0B7b1j1y769Mfkr6+vj47PhwO\n",
       "v7tu+kep0x/Qdn98verjGLk/et39Y92pX1LdxjHQWOmWpe10fZziVmMj9Usqb4z71I7tdmvP6zxw\n",
       "fzC9ys8TrcvUummfu1hL9dY/Up/62NVd65HakfJUR8pDGltpTun4j7RdqY9dvq362Kfu3jpnkvV6\n",
       "bc+nHDrGdVoLUlmdtSDdT+N2aiyNY5jmQMpT2s4Ua9oWd6/UTpcLPrtXZz4rXUtSXnN11z53ffKV\n",
       "umncPzw8XLw2zambm5uz4/v7e3t9WmPHtqXc0Z3v7voUhyqNp46By3MpN+j4pznmxlPrktqd5ntn\n",
       "z5PK07qknJpiqbMXSPfSPk33drGr8y/N51Q3nXMuzlPspDmnXPykdqnufHZj0J3PKWd2nuXcHkWv\n",
       "/YyOkcs1aX5qP6Qx6exxu/PPlfUVLna1rDT+ae+n8eD6JY2n9sOUdxC6VqR7p/HW+T7l2VzHINXN\n",
       "jb+O33fnLTeeKTbS/FZpDMZ+SHmo+8yauDFKdVFpnerkopSHdE6lfhmv7/aR6uSGdD8tK/VhGhPN\n",
       "D27edPs45VS3HmhZ3XejSt93pj2vo7Gz2Wy+raw0niludfxceams7l4gGfPW/8l3xFW9d6spbtM7\n",
       "qP1+f3bs1oe0tuv7MS1bufHWekwpq+pjn7s+TmXpeE9ZtzSvdNd6pXV37ezuYdL1Ka7H2O1+I+je\n",
       "q3N9t6y0hxpjtXPtZ3T+pv1ZZ7ynrHmflefq1v3+lHKqy8laj+98LqzyczStFd8Zt/wLZAAAAAAA\n",
       "AAAAAABAVfEBGQAAAAAAAAAAAADwjg/IAAAAAAAAAAAAAICq4gMyAAAAAAAAAAAAAOAdH5ABAAAA\n",
       "AAAAAAAAAFVVNdtsNm9TCnh7O//51ZX/Jr1YLC6ee35+PjuezWa2rJeXF3t+vV7b8jtlabtS3Vw7\n",
       "T6dTq6zVamXP6xjo8VfPfabbL2psWypruVx+uawq35bj8WjL0vF5fX1tXa/G2Prx44e99vHx0Z7X\n",
       "fkp9rHE+enp6Ojt2c6Aqt1P73MVuuleX6wett86xTllVH9vlrk9zSmOxe++RtivNmUTHaLfbXbw2\n",
       "zSnNUxp7aj6f2/NjP6SyUtzqvVJbOjm0O2fU+PuUh7rrTmqnGwONjdSONJ4aqy4/pHpvNpuz47S2\n",
       "uH7r5tt0vnN9qrf2UdoLdPJ7ypE6nunebl3TuOzuQ5SOp5s3qd5a1pTcUHU+3lPmX9XHOE/3PhwO\n",
       "F8/d3NycHae6pVzTWd/TnOnu/V3O1TmV+qx73tUtrQXa5yk23RzVfJr6LK0t2k4Xmylutd7p3snY\n",
       "thRL3edCN2d0/ikdzzT+aYzG81Nzh/ZDur4zRlOfCzv36uTbr1zv+qG7LqX9dyevfffezp3XPkvt\n",
       "6D4fuz5+eHiwZWndpu7HxrZNfS5U3Zz6Xdd+plN3l/OqPubIVPbYr1P2iVUfYzHFpstFnef4qn6c\n",
       "u+u7+8i0drh7pdyhUp+meTKaurar1A+jtA6lummecnMw1av7bibtnztjmvYpWlbKwa4fdA5N3Vdo\n",
       "eS72unue1Mc/f/68eG6/358dd9/DK22Xa0t636XjnXKNo/VIcXd9fW3P//r16+x4u91evLb7Xi9d\n",
       "n8ZojI8US4mOZ3efOtJ2pjFI4z3Gvfs+8JWy0u9V513b1G98+k7D7Ws6e5iqnO8795r6LkXj2vVL\n",
       "6jON+yn7Dv4FMgAAAAAAAAAAAACgqviADAAAAAAAAAAAAAB4xwdkAAAAAAAAAAAAAEBV8QEZAAAA\n",
       "AAAAAAAAAPCOD8gAAAAAAAAAAAAAgKriAzIAAAAAAAAAAAAA4B0fkAEAAAAAAAAAAAAAVcUHZAAA\n",
       "AAAAAAAAAADAu9lyuXxzFywWC1vA25v9+QdXV5e/Wb++vp4dL5dLW9bz83Pr3vP5/OK54/HY+u1s\n",
       "9v+xd2fLkRtZ1rY3p2AEg2SOpRq6zPr+r+rrqaylSikzOc/kf0KTORYZa3ELaf9B1/scCQbQ4cP2\n",
       "7Q5AabFlrz84ONh47vLycnKc2pn6+OHhYXKs/ThaLBa2rJubm9b1qW5jP2i7lav3a9wYdMty41XV\n",
       "izUX41W5bhqLaQ7q+I90/FI7Ulxr3dz1q9WqVZabn8nV1dXkOPXZer1ulefi4+Liwpa1v78/OU65\n",
       "xo2nlpViKZ3X+ev6LeWC6+vryXGKpZQ7xr+/u7uz12q/pHuleeByso5Pdx1SY5+nuE2xo+Od5lQa\n",
       "o1Ear26sOd16p/HX2BylfK3c/Kx6Gauubt21PbUzjcHY1hRL2i+d+aq6ub0Tl0kaL53rLlbeYixv\n",
       "zppW9bLPu/uakeaptOfp5hpXt+4YpOvdvbSsOXH72t+78tJeXuMh9bFb93Q9TrGW+rRz73Qv7aPU\n",
       "L8lYXlpvU920z11OTfNNYyfFUlprxral8UpxrX2exsCNt9Y7jUHqN62Lu3dqZzfHuj2WtivtO9Mz\n",
       "jj5Pu3t336V01vp0rpsblMa9e1ZIfdqZn28xtjWt7Wl+6vjNyUValj5zpuvTvdy9u7GT2jnGeerD\n",
       "NJ7dWHR10z6Y+26msx9L46X1TrnExa7ea84+8UfT8UxrpFuntJ0pl6R76d+7+OiuQ2nOLJdLe37M\n",
       "g939ltJ2pth0/aZrWqpbuldnDNJ4atyn61PdXNkq5S2tS+dbSLpXep/p4iPNoXRvpfHh4jztSbv7\n",
       "lO77FCfFTndt0X4ZaRymOZXGbIyf1OZ0L21Xd4806rwbq8p7Il0z3bv49P668z6jqtfO7nsBpbHj\n",
       "xnTue3fl+oF/gQwAAAAAAAAAAAAAqCo+IAMAAAAAAAAAAAAAnvEBGQAAAAAAAAAAAABQVXxABgAA\n",
       "AAAAAAAAAAA84wMyAAAAAAAAAAAAAKCqqrYODw+f3AVPT/Z0bW9Pv0Hf39+3rnf3enh4+MNlvVbe\n",
       "1tbWxmvdudfuleq2u7v75rJub29tWYeHh/a8/r1ry87Oji3r8vJycpz6OPXbOAaprNSnWnfXx3d3\n",
       "d7YsrXeK28ViYc+P90tzZr1ev7mst9QtjUGH69Oql3Xb29vbeG2Ka/3bdL2Ln+VyOTlOfZZoOw8O\n",
       "DjZem+L2+vp6cpzm4OPj48Zz2mdpTt3c3NjzWp7rN1ev18pK905Wq9Xv/53mc+pTPZ9izc0p7Yc0\n",
       "/ml+dtqZaDzM7bdRamc3f7s8mfKtlpXa6crTOJ2779DzbvzTvVTKay4fV03ze1qntG5p/msOHmkf\n",
       "z8mBVdM5U1V1cXGx8doUS10pr43re8ozaQw0dlKcu/Hv5ue0F9C6u7p183OK887+2sVGVY4PXfvd\n",
       "mHb3MGn8XT909sNVOXb29/cnx24Odtep1M40BmO/pmvTvbTurrxUluqugWrMoefn5/ZazYFK25na\n",
       "4uJH89DcPY/OE5e3Ulk6R+Y8Z6b1s1NW1cs+d3Oq+w6i8+ytdKy746U68ZHmgNat+xypxrqkslIO\n",
       "1Xame7v8rWV1x19pbM3Zd6Z+UGMO1XdIKuUhXYfSmLl46r4HSPtOXSvcvbt7v3Rvdy8tqzt+SteO\n",
       "znOi6q6h7nqtR6rX3Lz21npVvYy1tE9JYzTuzzs57jXaD6nf3P5O69IdX6X95trSeQ/7luvd+Ovz\n",
       "bGpnmr/arjnvbfVv09rg2ql9lOqV9v6d9waa65X+7ZznX63b+/fv7bVpHdO6pTFwa1H3XXgnH6d6\n",
       "Jdrnc74J6bnus5rq7BXS81Iab+Vyi86Bue+7NHY6z2qpbt33gCP+BTIAAAAAAAAAAAAAoKr4gAwA\n",
       "AAAAAAAAAAAAeMYHZAAAAAAAAAAAAABAVfEBGQAAAAAAAAAAAADwjA/IAAAAAAAAAAAAAICqqtpa\n",
       "LpdP7oKdnR1bgJ6/vb21129vb/5mvbW1NTl+eHiwZT092arX7u6uPd+5l7Yzle36IdVbLRYLe/7m\n",
       "5ubN12sfK+2H1C/r9dqev76+/v2/3di/hfaba0tn7KuqHh8fZ53f29v7/b/THBivfc3d3d3keE6s\n",
       "adze39/bstK9Uvx0ru3mjv39/Y3ntF1XV1e2rBSLWjfXFlevqqrLy8vJ8dHRkb1+nDOJxopKsab9\n",
       "5sY/5S2ty3K5bN1bjXVJ45X6TP8+5bXOOrVarWxZKa7H8ynXd+ZfVW6nO6+x86NjzcVTaqf+bYoP\n",
       "d68PHz5Mjr9+/WrLSnsiXSu6672TYinVbYyvbn5O87XTzlTP7r1ceWntVqlfUnnj38+Jy9fqMqdu\n",
       "eq7bL0pzlSsvtVPXUN3TKhcfmofSGHT2dlU+D6Z7dffAbj3WfUWKjbTvODs7e/O9U5/peKfxT/lg\n",
       "7Le5OVDXPBdLaT+scyCtkaluYz+lHJjGW+uW7q3x5O6V4ri7F3BtSe3Ue6W9v+sH7bM0BilPpX7o\n",
       "XKt1SXOwk2vmxprey9UtzRGdc904V+MYpT5L7zM098xZQzUnzt376zOQy7mdfFuV2znm1Lnt6L7/\n",
       "SPE0SnMizQPdp7g+7sZGWtfc83R3vU20n1y/pf7Xv01168Tt/5/PEZ04q8px23nnmOZM9x1hZ11S\n",
       "2g9z3+tqXTrvM5X205wx0NhJ71IODg7s+YuLi1bdfiQ3pzrPcVX9vcKcNbIbp521JcVS0s2x7nqN\n",
       "hfQ+M62x49+na7trYvcbkpPGN8WO9pvOsdHx8bEtS/NaN987aQy6e/k57yA0DrvP8pN72b8EAAAA\n",
       "AAAAAAAAAPzL4AMyAAAAAAAAAAAAAKCq+IAMAAAAAAAAAAAAAHjGB2QAAAAAAAAAAAAAQFVVba1W\n",
       "K/tL4OkHs/WHyG9vb+317gee9cec5/7IuXI/2J1++Lv7g+mu7lpWuncaA/2Rc/1h8VH6wWz9se90\n",
       "far7/v7+7/99dXVlr00//q394OqWfrRc+yjFbSpvHO9UVqJ9OudHzlX3x9rVOJ5VVdfX1xuvTX2m\n",
       "7Uzz/ebmZuM5HU8316uqLi8v7XntB1eem29VL+dn4sZT65HGM7VTx8i15e7uzpal55fLpb0+jVFn\n",
       "HqU8pPdKce76VeMwjX8yxkeaA6neKuUGN0e7cZtoeW78U1xrrM3Na2+t11vupXHv+jHNKY2tdO8U\n",
       "P+Ma2l3bUyy5e2ucXVxc2LIODg7sea17d3/WKVulPh7rknJYijWNjzn5QcdzTg6setnnLg92c2Sa\n",
       "F53niNTOtEZq3d1+vBuHc9ZAnVPd5wTVyZFpvdXzum/s3nssz+0Dq/K+U7l+SfVWndzwmjHuU590\n",
       "83Eaf1eezsejoyNbVsrvWjcLoTgHAAAgAElEQVS3V0zPjfq36frOe4A0p1Je65SX5lT3/UgnF6VY\n",
       "S+3UOenGM81fHZ90fVqnxjmcxjOd/5FrqOaptA6ltUL7yV3f7YfO2pFiJY2Xrnmp3W7e6ByZ8zxU\n",
       "9XKM3PrQ3Quk+b9arTae05zXeQ54jdbd7UNSOzUeUt1crGm9UzsSrXtnX6m0nXPWW63L3OcbrVv3\n",
       "uXPU6bOq/AykY+jmYPeZJLXT3UvnY3dfqTQe5oyp/u2cfUo333afM9x8TzlP6532Ap39WGpH953S\n",
       "nHmguT3ljlS3sW3dPY3qvnN08dN9R9x9Nndt6b4j/pFzKs317nlXt+7anrhY418gAwAAAAAAAAAA\n",
       "AACqig/IAAAAAAAAAAAAAIBnfEAGAAAAAAAAAAAAAFQVH5ABAAAAAAAAAAAAAM/4gAwAAAAAAAAA\n",
       "AAAAqKqqrdVq9eQuuL+/twXs7u5Ojh8fH+3129ubv1nv7Oz8sLKqqh4eHmz5HXqv1C97e3tvrpce\n",
       "d8qqetlPT0+bh7TbZzq+6d5OKiv1qdbN9cvW1larrLntXCwWv//33d3drLJ+5DzQdl1eXtqyUj9o\n",
       "bI3tVhcXF7asbjs79Voul/b67py7vb39YxWrl7Ho5meVH0+td5ozbnyqXsbqarXaeO3NzY0tS8cz\n",
       "5duUi8Y+T9cmGlupPDcPrq6uJscpPyfjGKTYSHGtf5/K6+jmLaVzyF2f7qVxen19ba93493NO2lO\n",
       "aXmu/HRvjcM0np3zaY3U8Uk50OXU4+PjyXFaG1LdtJ37+/sbr+3mrZQbdP6r8e/TetrJgVVVHz58\n",
       "sNefnp5uPKftTLGS4lz7wY1ZN9/+yPmc2pH6QfvN7aHSWqBxmmLJ5Uitd+rj7p7Y7QXSHjfNOZXW\n",
       "jnEM5+Sh1xweHm481x2flM/Tfm0sL41XijUdoznPXxpbqZ2p7nrejVkaz+7esJOnUhyv12t7XsfA\n",
       "9Vu6l8bpnOclleZzamfnnUbK7d33NCnWxpyb+izNd11L5oyBxlpah1I7dX6767t7omS8V8px3byW\n",
       "ynOxq32ScmbKNTr+LvekdUrHIOWxzl5gzjuG187/yGeY1MeuPO2DNJ7dfYgrr/t+Mq23nedl93xT\n",
       "1W9n2hO7MdL5m9aO1M457+WVzrn0vsTt5bvvs1Jcd56nU+xonKZ5MOf9perm9znveTS2uu8zXd1S\n",
       "Wd3njLnPmaMUa2kPNcZDWm8TrXeKTbeH+tF7u85+LMWt5tg0/qm8UfdZTXWeM7u5YNYe9g//JQAA\n",
       "AAAAAAAAAADg/xQ+IAMAAAAAAAAAAAAAqooPyAAAAAAAAAAAAACAZ3xABgAAAAAAAAAAAABUFR+Q\n",
       "AQAAAAAAAAAAAADP+IAMAAAAAAAAAAAAAKgqPiADAAAAAAAAAAAAAJ7xARkAAAAAAAAAAAAAUFVV\n",
       "W+v1+mlOAXd3dz+qLrW3tzc5fnryVdvZ2bHnHx4e7LG7t9ra2npzWW+pW0e61/b2j/v/ALTPUzvu\n",
       "7+/t+cVi8ft/Pz4+2mvT+bGsqqqrq6s3X6tSbKlOP2isqHRe6zan33Z3dyfHKVa6sebmfzcu05ho\n",
       "W5w0XmdnZ/a85gM3Zt0+6+Ytd261Wtmybm5u7Hn9e3d9aqf2UWpnJ67TfE70XnPmQXctSHE75o5O\n",
       "jL9G25lyjesHPZfGK92rs1fY399/87VVuW7u3trnKdbSnLq9vZ0cu3mQ4lD/tjsH1ZjXUp9dXl5u\n",
       "/NvXuHZqvVMfd9dIN290PFLd0r3THB1jbe7+qbsfc2uo1jvFUoqPjuVy2bpXGjM3Bt2yDg4O7PkU\n",
       "D6M0n/V8yiUuPrRec+P2+vp6cuz6Ra9N90r3TvuY0enpqT2f5khnXevOzzQGqbyxbqnP0n65O39d\n",
       "7Gq7Utym9Vtzj4u1tFdXc9bvbo78kc+RnTxT1VuHlMZhamdnfiYpR2o/dObMa8YxSmtBWqe0n9Ic\n",
       "c/NAxyftr9IY6XkXm6nPtN4p33fmQYrzbt5yfazzLZWdYk25MUl9onMqPR+5uuu91uu1LUv39kpz\n",
       "qKtb931Xd21w9Ug5sJu/3Zh143bu+84xPua+S9G6z9lfa5/O3V9reZ3nyGTOfNc50L230r/vvuMY\n",
       "aR+l+ezupWPt3qtX5bVD52jnHZPSdqbrU/7uvP/40d8I3L5U97ipnWmPO67XKUemvby2q/OOSWls\n",
       "pX1lupfuS1ycd993zNnb6b3S2j73Pf6ouxbMec/Dv0AGAAAAAAAAAAAAAFQVH5ABAAAAAAAAAAAA\n",
       "AM/4gAwAAAAAAAAAAAAAqCo+IAMAAAAAAAAAAAAAnvEBGQAAAAAAAAAAAABQVVVb6/X6yV1wc3Nj\n",
       "C9jf358cPz4+2uufnjbfbmdnZ3K8ve2/b6e6LZfLyfHd3d2b760eHh4mx1tbW/Z6d353d9eWrVKf\n",
       "rlaryfH19fWb7620Lun61A9jv97f39trb29v7fm9vb3JsSsv9elisZh1vRr7IbUzxbX2aSrPxYfO\n",
       "z9TOVLf096MUOzp/Uyw52gfp3i4XVL3MB67d3T47ODiw17t5oPdKcybROeW43P2aFLfJ2NY0/9K9\n",
       "NB5cjkw0NlIfpjEa25bWtHQv7Ye0rrkx7a4Fid7LzZs0nhoP6XrNg6OLi4vJceqz1A9al8PDw43X\n",
       "pjjU82n8Uy4aYzHlct1XJC6WtE9SLunmGlfXy8tL+7caS2m/lfp4/PsUK+le3TWx02+pHWke6Brq\n",
       "2pLyd+oH5fpF860+B6i0F9C/d7km5SGdc6lubj3o1Kuq6uPHj/b8er2eHLtYSnuYv/3tb5PjFMff\n",
       "vn2z58d+m5s7dE7+8ssvG689Pz9v3SuNQWdPNHe91Tk1Z3+tcTh3DLQuKdc43dzhrtc+T33WXSvc\n",
       "+Kc+6z7juHtpPu4+eyvtJ7ev+dFrQWeNTbk+rYndOeniR+81dy/QeTZM9+o8F6oUx2nfqX8/J2/p\n",
       "vjDtBVO/aJ5ybU2x0p2DLnZ1L5DGID13aCx14lhpXTrvkFR3r55ipxNrnX3/W67v6K6nSteCOfM/\n",
       "5VDVzamurd3xnPMsp3uelBO7z6yuvFSW1m3Oex7to247lLbLtTONj+ap9LyU4mOM3dTO7nu9lNc6\n",
       "4z03r41zKs2/NJ/1XnPjY5T6zL23q3pZd7fmztlHvMY9m2s90nimPbG20833ND5aVieWFP8CGQAA\n",
       "AAAAAAAAAABQVXxABgAAAAAAAAAAAAA84wMyAAAAAAAAAAAAAKCq+IAMAAAAAAAAAAAAAHi2tVgs\n",
       "7C8upx9Y1h9znvOj9ff395Pj9MPS3R8Hd23p/gC6/oC6cj/+rX2U+jj9KLb2g/bjKP0wvI6n+7Hu\n",
       "qpc/cu90f9xbHR8fT46vrq7efG/V/ZHz9GPuY9vSeF5eXtrzWhf3I+ZVfkw7P75e1R+jg4ODjde6\n",
       "H5l/razlcmmvT+W9tV5Vfo5UvaybyzUpT2lZqY/deGveSeOZcqRydUtzJMW96tQ9XZtiQ+uexizF\n",
       "hytbdeIj5cDUx5oLUr+5XLRarSbHKQ+lumtsubakPlVpXXPrdXctSHNKY9HlorTv0D77kWOQ7q33\n",
       "Svd2faxjnfowjYHW3dUtlaV/m+qW5lQag1HKW9pv6d5uTmlOS7lkvV7b89qvri3dMUix6crTOaN5\n",
       "TKUx0Lq5fJ72wxpbaTzdGGgfpByY9lfaTrfnTWtad06dnp7a82M8pD7+/PmzPf/t27fJsVvr075f\n",
       "25Vy5E8//fTm8lI70h7l559/nhz/4x//sNe756m//vWvk+PffvvNlnVycmLPd/ZXKU9prkhlu1jU\n",
       "e6XccX5+bs/r/Hb76xQ7KvWLy5HaRyl3pGcWPT9nTnXWlaqci8byUllHR0f2vK7tacw6cZ7ymr7/\n",
       "ULqXd2OaxlN13rWlPkll6fn0rs3tFbSsdO/uuzZ3fbestG9MuWiU+izFpc5Rl0tSHtLz6d6dvXzq\n",
       "47S/0rp035e4uqSyUj+MbZ3zDrDqZW5JOTPtv0dzn4c6e6j0zlf7IbXD1V3r1emT1+g8cOtgN+d1\n",
       "372NdE6luO1+r3DXp/mr49mZM68Zn4HSepvyrdYl3du1Nc1H1cnvqY+770JTfLj5q3Gb8lZ3nXL7\n",
       "u+63rNTOzv6qsw98TedZP423zsc575z5F8gAAAAAAAAAAAAAgKriAzIAAAAAAAAAAAAA4BkfkAEA\n",
       "AAAAAAAAAAAAVcUHZAAAAAAAAAAAAADAMz4gAwAAAAAAAAAAAACqqmprsVg8uQuenuzpWiwW0wK3\n",
       "tuz19/f3b6xavvdyuXxzWVVVNzc3G89tb/tv6Ts7O5Pj1I7d3d2N5/RvtWyV+uHh4eHN5aV76Xim\n",
       "dt7d3dnzYz+k2Li9vbXndYzc9avVypalUjtSPxweHr752jSe2k9pzFzdu7Hm4raq6vHx0Z5391b7\n",
       "+/uT4zT+GudOamfKHVqXNGaO1lvbra6vrzee0/HZ29uzZbmc91pddP6PLi8vbVlat3TvNEajlDu6\n",
       "/ZCud7Gr7XTj9dr17vycdeW1v09zxo235pW563GKh1Eab21X6hfXD7qupHam+dtpZ4rDTs6ryvuY\n",
       "MX+nsnU80/VuPmufpjnj4rLq5Trkxiz1iZ6fu+cZ9wJpTUvrqdYtjYHrB50jqR3dMZiz79Q5092P\n",
       "jzR3pLJSOzUe3Jim3KDjM8bKa1zd9dx6vbZlpbju5MHT01Nb1sHBweT4/fv39voU12O+SNf+6U9/\n",
       "at3L9fGHDx9sWRqHHz9+tNdfXV3Z8+N6kNaGNAY6P8/Ozuz1//Ef/7Hx3MnJyeS4O2eUzlF3fcqh\n",
       "mjvSXsDlve7+OuVv/Xu37nX3PHPGQP82tSPVTcfAzdHOvr8qx1Lad45/33l+fY32W1pbXN2761Ra\n",
       "rzt5rVvvNA9Gaf+b1iltZzdeRjreae3o7q90nevQfuq+Fxp13gFW9Z873BxLe/lu3Rzto5Tr0710\n",
       "PXY5NeUOXadS3dIc7PjRzxGuPI3DFEtp/dY9c+dZPZ1POdPt17Ue3T1N4mKz+6ydYs3tO/VvUx5K\n",
       "c0r7wcVSWis073S+H71mnN+prBS32g9z9lDdd6dpzo1jOPf7kvZD2ne68nQ+pvUz9YPOdzcPuu+c\n",
       "0hx0uSjlHZX2sFp3F0sprjV25nzb4F8gAwAAAAAAAAAAAACqig/IAAAAAAAAAAAAAIBnfEAGAAAA\n",
       "AAAAAAAAAFQVH5ABAAAAAAAAAAAAAM/4gAwAAAAAAAAAAAAAqCo+IAMAAAAAAAAAAAAAnvEBGQAA\n",
       "AAAAAAAAAABQVXxABgAAAAAAAAAAAAA829rf339yF+zt7dkCHh8fJ8fb2/6btDt/d3c3rdzWli1r\n",
       "d3fXnn94eLDHo9VqZcu6vb1t3VuvH+3v70+Otd1dWpf7+/uN16bx2dnZmRzr+Ko0Rk9PT6/+92tu\n",
       "bm7see03184Ut/q3qW6pvHEMUlkuDl+TytMxG+l4p1hzZVW9jAdXt24/pHu7Oaf3SnGbaN0Wi8XG\n",
       "a9O9tF0pzl0/aDtTXLo8VFW1XC7ffH1qp45Put7NXy0vzZmUj1WaB5prnNTHaR6MsZXqlfq0M55V\n",
       "Pn70b9PakcYz/f0o5YJu2e68xtbc3KFromtLWj+7a0VnjLp9luraWY/Tfquzr6jyY9aNy06cvmbM\n",
       "71dXV/balLe0Xanfrq+vN57TMZizr6h6GZuu387Pz21Z6/V6cpzGzPWD5tDUxwcHB/b8u3fv3lxe\n",
       "dx/5/ft3e73m85HWO+WKk5MTe97tcVQaH63L4eGhvT7Fx9gPabxS3S4uLibHf/rTnzZem3KB5qnj\n",
       "42N7vRvPqumam3JgGk+VxteV9+uvv06Ou+OvdA/s9j1pL3Z6ejo5Tntil9c6z9KvXa80H7u6pT7T\n",
       "2Enx4dqp61KKS+1jpfPEtSXFoebQNAZpvMd+Ss9eab7rvbrPfiPNeakdukaqzvuu9Jyh/dCJ89Qn\n",
       "3fFP3P10jqR2/Mh9Z7cd6VnNxZKeS32sa6DSNdbtY9N6rFKec/P9Rz8Pda7vPquluqYxSvHQKUvb\n",
       "lfb27jlCy/rRzxGun9O9uu+gXHlp3VFpDdXy3Pim8dQ+6uZzV680Z1Kf6jrlckf3HcTc9/Tj+t+N\n",
       "JfUjv1fpHEh16zyXzHlv81pd5jx/aV45OjqyZXXflbt5kPpBYyfd2813bWd3L6A0dlzu6K5T3W+8\n",
       "I/4FMgAAAAAAAAAAAACgqviADAAAAAAAAAAAAAB4xgdkAAAAAAAAAAAAAEBV8QEZAAAAAAAAAAAA\n",
       "APCMD8gAAAAAAAAAAAAAgKqq2losFk/ugu1t/415d3d3cvzw8GCvf3x83FyZra3J8d7eni3r/v7e\n",
       "nte6p7Y4t7e3k+PVatW6fqR9kOql/ZK4MUj32tnZeXNZbylvrLvrk6qq/f19e149PW0O3W4cLhYL\n",
       "e/3x8bE9f3p6urHsdO90frlc/uHy7u7uJsc6vl0a9zc3NxuvTfNTc4cbzyo/pt05ku6l/eT6OOUp\n",
       "rVvqFzfeV1dXk2Md327d9HwnPyv9225+duWluE110/FO+cGVp3Gb5nOKtU5Zad3ReEj3du3UPkp5\n",
       "SGNT6Xi72ExxnWJLrdfrjed0XUrrVBoDHUPXx6kd2kfn5+f2+rSGjuWl2NCy0vhfXl5uPKd9cnBw\n",
       "YMtK8/3w8HBy7OIl5QaNjZQbLi4u7Pmx7nPzs46B6+Mq31bd43z9+tWWlXTyw08//WTL0j5N/ebG\n",
       "4PPnz5PjNCfSeOscdWOWxqebn92+U+dU6rNxj/oanQcu16R1Svso3TvN0THnpnUm7eV1HXJxm9qp\n",
       "eay7D1HjeM+Z66/VLeVUN0a65/ny5YstK805HQMXa9fX17as7rOce2bRWNB1RqW9gPbbx48fN16b\n",
       "9gJHR0eT45S/Xezqvdz+qKrq+/fv9nwn1rRPlMbh//zP/9jr03PE2Na575S07mlO/e1vf9t47t27\n",
       "d5PjNGdS3tP8/+nTp43Xpj2MOjs7s+dTrhql/bW2M+VMt+5pWXNyQ1XvfWeq91/+8pc3l1Xlx0z7\n",
       "tPtOQmnucHO2+141xUrnHUTq4xRrWnc3n7uxk9aO9Cw3ti3lhrRPSXvDDo2tVHY31lx5ae3ojGeV\n",
       "z6npXirN38777TSe2s6Utzr3Tmvgj3x3mvpM91dpL6h7JDXOubl7AW1nyjUuf3T3Y2lOjWtFiuNU\n",
       "7+77Tjfn9FyK29ROjR+3FnWfWVO/uXmg51IeSnGt/eDaMuc752tcO/kXyAAAAAAAAAAAAACAquID\n",
       "MgAAAAAAAAAAAADgGR+QAQAAAAAAAAAAAABVxQdkAAAAAAAAAAAAAMCzrb29PfuL6O6Hv6vyD413\n",
       "6I8/px/QTj8WrefdD0+nH4bXdqYfxU7nR6kdqY+1Xe7e6Yfj0w+qK/0Rc3e/FEvph8S1nQcHBxuv\n",
       "PTs7s2VpXVK/pFgcxyj9WHsa79VqNTk+PT211y+Xy43ndDzTvdN46t+78rpzKl3vftReYz6VlWJN\n",
       "y3OxdnNzY8vSeOj2sTt3d3dny3L1rqq6uLiYHLs+TnNE29XNz2qMj04+fY32U7q3ix/tozQGnXvN\n",
       "7TOtS8q5ru4at+ne+/v79rzGh+vjFGsatynO3Rqq9UjrbXdfkvrN0T5L45nOj2tFGi/Na+/evbPX\n",
       "O9++fZscz43zw8PDyXHK947GWprPKX+PfZzGI7WzOwc7Ujt+/vlne369Xk+Oj4+P/3BddA+T2nl5\n",
       "efnmc3P2FVUv91AuPly9ql7uO9ze7bXrRxpbaR+Scqr66aefNp7T/Kt+++23yXFq56dPn+z5q6ur\n",
       "3//73/7t3+y1qR/++7//e3Ls2pn2iXovzUvqr3/9qz2f5twojaeWldatv/zlLxvPaczr+KqPHz/a\n",
       "80dHR5NjN0f/+c9/2rI0j6W85uiamPo4rYka965uad+hsdZdv0fa3ynfpv3V+/fvJ8fumTWtExq3\n",
       "v/zyi73+/Pzcnh+fHfTZWrlcUPVyHqTx//Dhw5vPpXUovVfQ8XY5N+1LdM6lfD/WPcWl7gWV3iuV\n",
       "53Km9lka33GdeY2Ov4u9NJ6aW1LOdHNK80qar2nOdPYWKXfos3uKYxdrur6me5+cnNjznfcCKTZS\n",
       "2Srticb1IK3daZ+icyjVza17uk7NfSbRurj1IY2BzoPUx26/rmtF2tvr81Cq25zvEfq3KUc62v+p\n",
       "z1LdOu+c015N75Xunc6PuSi9U+y2M+0t3LeV7jvFZKx7yrdpvNPfd67v7jvTGOg65fo43UtzbLfd\n",
       "Ix3P9EzazaFz6tZ9l+7GgH+BDAAAAAAAAAAAAACoKj4gAwAAAAAAAAAAAACe8QEZAAAAAAAAAAAA\n",
       "AFBVfEAGAAAAAAAAAAAAADzjAzIAAAAAAAAAAAAAoKqqtg4ODp7cBQ8PD7aAvb29yfHTky2uHh8f\n",
       "//C91Gq1suevrq4mx7u7u63yRzs7O5Pj1M77+/uN55bL5eR4a2vLlpX65e7ubnLs2un6/7W/vb29\n",
       "tdcnY3xorHRpXVy/6Hgp/dvFYmGvPzo6sudPT0/ffG8XG1UvYyvFrRsj/ds0/qluqW2jNN4a9+ne\n",
       "29ub/3+Xm5ubyfGcuV71su6u31Iu0Hbu7+/b66+vrzee07me4rbbp6ktnXsdHx/b6y8uLuz5sW2a\n",
       "y1WKS42HlFNdeRoLqaw0BgcHB28uK60VmgtSfDg6p3TdUm5+Vr1sm8byKOWO1KfK1f3y8rJ17+78\n",
       "dbmoG7dz89pY99SHGufdfD7SONQ+V7/++qs9f3h4ODl2+TnFpcaGy79d6/Xanu/ur9ycqXrZLyMd\n",
       "v5Qb0r10rdB8MUpjoGV190gjXStcn1TlWNQ55+r24cMHW5ZKfXx+fr7xnPZBWrvfvXtnz//zn/+c\n",
       "HLucmeJWn83m7ivHNTLloS9fvtjzf//73yfH79+/33htykMa13/5y1/s9WnPM/ZbGq9ffvnFnv/P\n",
       "//zPyfG///u/2+td/GhspH1I2itoP7h4SvvIn376aXI8Pou95vv37xvP6XxM+860Hutewc3nNAc0\n",
       "7tMYjHNGdfcVnz9/tue1Lm5tSeurruWpnSnvjXM4rXkpr338+HFy7Pq4qvcckZ7N03nNRa6fU5/q\n",
       "vdycqZq+H3H7gKq8f9bnhK9fv9rr3XvA7juGtB7rXsH1Y/cZJtXN9Zv+bdrTpPdZGjtu/5Zyg45n\n",
       "mmOdd0zpeTnlNe0nN/5p/ul4d99Pq7RXGKX5rFJbXD9oLKScmvKzjqG7vvvMknKNGwO919x3p1pe\n",
       "9x3GSNedtOdxsah9kOZU2tvp37s8mPqg+80grT1jbKWy03hrnkpzcM56rNLz9Nivc94BVr2cj3Pi\n",
       "Q8cnjUH3vYHLHSk2urHW+ZY5Z21/rTwn5dvUp8q+W2uVBAAAAAAAAAAAAAD4P4sPyAAAAAAAAAAA\n",
       "AACAquIDMgAAAAAAAAAAAADgGR+QAQAAAAAAAAAAAABVxQdkAAAAAAAAAAAAAMAzPiADAAAAAAAA\n",
       "AAAAAKqKD8gAAAAAAAAAAAAAgGd8QAYAAAAAAAAAAAAAVFXV1uHh4ZO74O7uzhawWCwmx7e3t/6G\n",
       "W1sbz+3s7EyOd3d3bVlPT7bqLzw+Pm48l+qtdXl4eLDXa7+M7u/vJ8d7e3ute6urq6vJsfZjp6yb\n",
       "m5s3l1VVtb3t/x+EcYxc/1flPtV+cv2W7qXnUztSeePfax+q1Kf7+/uT49Qvbh5ou9J8dvPzLXVx\n",
       "905lpXngzl9eXk6Oj46ObFl6vdI+df2S+kzPzxmDbr51eajqZS5y45vmgOaWlJ/TeI9Sn6VY0/Pd\n",
       "tWOkfZT6OM33sbw0nqmdei8dX+XGQNuZykprS2d9T+OtdVmv1/Z6V57G9XK5tGWtVqtW3dycSrlD\n",
       "pVhL5Y1tTbF0cXExOT48PLTXn5+fbzyn+TbFSne+u/JSntF7pbpdX1/b8+/fv//9v1MsdeM85a3O\n",
       "2pHWwNRvOm/cvifNT+3zlGtcntT5OXdvd3p6Ojn+9OnTxmv/8Y9/tO6V+tj1m+aVFGtpDDS2XJ5L\n",
       "65S2K8V5qtsYW2k807007t36nMrSfujuBdU4hmk8f/31V3te59Tf/vY3e70b7zGnVVWdnJzYss7O\n",
       "zux53Z/rM8/oy5cvtqzv379PjlOOdOOt9Uhx/u3bN3tex8DlyO4cSXnL5VDtg7m5Q7l+01hSOgaa\n",
       "f1VnX5ra4fYwVS9zbvcZd6S5IMVaWq+131y/pH2kzqFUt/H6VHZqh8biwcGBvd7NZ81DKVbSuxud\n",
       "c+7eKTZ0jZzzfkz7KOXANKe0PJebfuT7ySr/7kafSdJ6mt4DaZ+6MUj5WftM263SeI/91O1jpbGY\n",
       "7u3mqJY1dz/WeWeR4rqTA9N5zWPp3qlPtW6uX7rvebrjP9J2zX1m7eTIRMtKa0vK32O+SO+yU27p\n",
       "zim3x9V7pVjrxOLcd/qdPWyVj7VuWZ13p+n6VFbKFaozp9zYV+X5q3V3sdZ5B/gWrl/4F8gAAAAA\n",
       "AAAAAAAAgKriAzIAAAAAAAAAAAAA4BkfkAEAAAAAAAAAAAAAVcUHZAAAAAAAAAAAAADAMz4gAwAA\n",
       "AAAAAAAAAACqqmprsVg8uQv29vZsAQ8PD70bbm1tPLe9Pf2encp+erJVr8ViMTm+u7vbeG1qp9bb\n",
       "tSPdS9uZykrt1PLmlHV/f//msqpe9rEa63Z9ff3ma1+zu7s7Ob69vf3D9VqtVpPjq6sre33ql7G8\n",
       "1M6dnR17XsdI260eHx83ntM+Te3c399v3evm5uYPl9XNHZ04T+OV4kPH6OLiYuO17969s2Xp33bz\n",
       "1kj7LLWzm9dcrLk+eMu90r3deZdPq3qxUZVjz/WD/u1yubRluTxVNY21lDtSH2s8pNzx1npV9edr\n",
       "ojl4lGJN54grq8rnqcPDw8lxamcaI82RbsxS3F5eXrauT7E2zqmUAzWW0hx080D7oJsrlNbF5WA3\n",
       "9lUvxz/FnltvtS5pvNJe4Pj4eHJ8dnZmr3exe3JyMjlO/ZLGW/vB5Zr379/bsnQMtK7q4OBg4zmd\n",
       "A901UGk73RxL99I58gzMAZoAACAASURBVNNPP9nrf/nll43ntA9SO1Le0r/v7EOU7nE+fPhgr09z\n",
       "bpwnKden/dXR0dHk+Pv37xuv7e6903xP+7XxfJqfabxPT08nx6k8F9cat6kd3b3Cer3eeO7nn3+2\n",
       "f6u5Iz13uLjW+ZbW00Tr4vJWmgN//vOfJ8ffvn2z17tnPZ0jKT+nvYLGmrs+laVrXIrzZOzXtN66\n",
       "OHztfFoj3RjpniXljvScofndlac5UOkYpbVjnIOpj1OfaW5J93brgf5t2rulWNP1/cuXLxuv1b2b\n",
       "0n5IOdPlXF2nus+JSvODy03dvUBanzWfj3777bfJcerjH/n+OsVG91ktzYMxrtM65NaVqpf5OeUS\n",
       "t1fovhfo7q9dfMztU+VyVadeVbluKfd07qXrUIoPd289l/J3Oq/ldfKW0j6d+w5yvF/ah3S/V8zZ\n",
       "++u5NP6p38a/T9emtUDHOz1HuH7VdqU50f1W0vnuprQuKae6dp6fn0+Ou9/V1I/8xtf9zurih3+B\n",
       "DAAAAAAAAAAAAACoKj4gAwAAAAAAAAAAAACe8QEZAAAAAAAAAAAAAFBVfEAGAAAAAAAAAAAAADzb\n",
       "Wq1W9heX04+Sq/Qj9u5Hs/XHnef+kLjW3f3QfPohaS0r1c39+PfW1tbkOP2QePrRcq2b+8Hu9MPx\n",
       "Wrf0499pDMa6L5dLe23S+SHy1Kcaa+n6w8NDe3780fQUG2kMNE67PyQ/Wq1Wk+MUS90fe9d4GaV2\n",
       "ar3d/KzyY6T3Su3UflHaD+5H7FO99W9dnyX6t2lOpX7QvOf6JdW7O55pnozn071T/k55qqObOzpz\n",
       "Kq233bhOY+D6Vdvp5kBVXvt1jrq81l370xi4fu3M9bfcS2PR9Usaz/39/clxiqWDgwN7fuzX4+Nj\n",
       "e63eK61Dri36t3PjXOPDjUlqp8bSuJa/5uPHj/b8OOdSXtLxVRqLaU3t7DvTfF2v1/b8ycnJ5Njl\n",
       "2DSeGrcp37t+03alMfj69as9rznVrbndvfrl5aW93t1L25XamfKatvPs7OzN1ybp+lT3UZozGpdK\n",
       "Y83lopRP//d//3dy/P79e3t9mr/jHEr3Trp7eReLWlYar5RD9V4ud6TY+fbt2+Q49bGbo7qOpH1I\n",
       "2gtoLnJzsDt/097O9ameS33Wfc5wbfnpp59sWf/85z9t2ero6MieH5/dv3z5Yq9N+VjfA6T3Av/1\n",
       "X/+18Zz2eXpGSfsYjUU3b969e2fL+u233+yx+vTp0+//PXfOaJ+mfH51dfWH76XS2qJzzo1/6rPu\n",
       "3i6dH6V2pP1VZz6nOaDxcH19ba9357XP0jNJmlNaN5ef07203ml/nXLquP9K9060bt1+cX+b5pib\n",
       "n1W9d5RpjdQ5ksbAzROd63Pe+Ve97DcX52l+6vk5OVfXgouLC1tW2o/p3q/z7kVpvVMfpzk13m/u\n",
       "/NS4TvnZjYHGfOc5IZWXrk1rhfZTGjMXu908luK68wyc4lbrPef9daq3Su/DOu9u5r4H6OBfIAMA\n",
       "AAAAAAAAAAAAqooPyAAAAAAAAAAAAACAZ3xABgAAAAAAAAAAAABUFR+QAQAAAAAAAAAAAADP+IAM\n",
       "AAAAAAAAAAAAAKiqqq3lcvlkL9jasgU8Pj5OjheLhb3+/v5+47mdnR173K3bw8PD5Pju7m7jtane\n",
       "Wtbu7u4frpvWY3vbf8dP7exI99Lx7PaxGvsp3dvFxmt1c1K9dfxS2SkWRy7OXru30j69vLy01+/v\n",
       "7288p+1K47Ver+35p6dpuri6utp4beozjYd0vRuj7hxJsajtcn18fX1ty1oul5PjObF2e3s7OU7t\n",
       "2Nvbs+f171NbHI1rjRWV5ntnzqW4Tv2kXN31XHeNVOPa4+ZTVc4dWjcXt6m8i4uLyXEaj+6a6MpL\n",
       "fXp4eNi6PsXHKM2BlI87e6IUG3o+zalPnz7Z82M+SLnh9PR0cpzWNVe3bq5P7dTzHz9+3Hjtzc2N\n",
       "LUtjKdUtlTfm+zT/vn792qqbzknl5oHG7fv3721Z5+fn9nzaM49SXtOy0hzs5PM5ObDq5Zrr4kPH\n",
       "S2k/zNkrpnupFDuaD46Pjzdem2JD25ViJY3nOKdSLk/7CuXqlu7VWVeqciyOdV+tVvbaFDuavzWO\n",
       "lYsPjfnUjnRe57cb/4ODA1uWzoM0L1yO1Nz+yy+/2LK6+2/3fJXiVvv07OzMXu/iWu+V8nNaE7Vd\n",
       "bgy6cZjmWBrv8e/TeqvPakr7La1TnWeYtIdN461rhYvNtBao1C/jmKa9W9o/69+nfaqLJ613mq8p\n",
       "b33+/Hly7NbntEZqfu/uBUcaO2k+p/PKPad03ymlPOf6TfssjVfKNen8KM0B7dPus7oa1/e01qe6\n",
       "6b06722Vjk/KW2n+6nmXU3/ke7uqXlyndiQ6hm7MUlx239u5daizRr12b6V1d32c9rg6BnPfGY5j\n",
       "mMpK7dR7pfcCrq06fik3pNwySrkjzRH9+1Q3lw/0XHouTLlFY63TL6ms1E5Hc0VqR4odjTUXu+md\n",
       "YjePubWCf4EMAAAAAAAAAAAAAKgqPiADAAAAAAAAAAAAAJ7xARkAAAAAAAAAAAAAUFV8QAYAAAAA\n",
       "AAAAAAAAPOMDMgAAAAAAAAAAAACgqqq2jo6OntwFd3d3toDHx8fJ8c7Ozh+vzNZWq6ynJ1v1WP5I\n",
       "26H29vYmxw8PD/Z6V7ft7el3+9SOVDf9e63rKI2n9tH9/b293t2ratrWNJ7dWNvd3bXXdyyXS3u+\n",
       "229O6tNu2S4W9V4ae6p7vjsH5/yta+f+/v4frsdb7uXGLI2Pxv2c8dSyUm5IcXt8fPzm8lLcar07\n",
       "c+I1Y6yldiQ6v29vb+31Lq/p387N3ymHjm5ublplpZy7WCw2nkt9pFJ8aO44PDzceG3qk4ODg8lx\n",
       "6uPz8/ON5zRuz87ObFmJxr2bB901bLVate6txrama7VP0/i6uum90vim9Vjj1l1/fX1ty9K4vLy8\n",
       "tNenMRjnnIu7qqqjoyN7/uTkZHKc+qWzdqTx7OZ7d31qp0qxOXdt6ZSl4+3WoouLC1uWjl96jnA0\n",
       "rl0uf8t5XcdcTk37RF07Pn36ZK9P69rV1dXv/z13L6Dj6faOaQ5o7KS9QNqnjnX79u2bvVb3bkpz\n",
       "R8pFrq2aE8fxeE3KU3qvDx8+bLz2T3/6ky3r/fv3tmz1//7f/9t4TudvmjNuD1P1Mj5cv3X3auv1\n",
       "2l7v5qjun1KfpbjWfYzLa2mvpmWlXJPqNp53cVZV9f3799a9fuRzZxqD7jsKt8dK99L8neb7GLtp\n",
       "TqRcr32crnfxpHGecmCag1++fJkcu7Uo7St0DLSuyo2B5ueUt9IeVtvl5nM3R379+tVe7+a7zoEU\n",
       "ayluNR7ceKZnNY3btE9Jz0Bjfk/PpCnWdD7Pebeu8y3l57TH1b938ZTWDp1TqZ3uWU/rkZ4jf2R+\n",
       "Tu9euu8NXL7XslIspTVP55yLj+47oxRLqV/GMe2ugUnqt847ipSfUyx2no/T/FVznln1XnO/8Wk+\n",
       "SPnB0bqlfYcbI613iqXuHte1s/s9InHjzb9ABgAAAAAAAAAAAABUFR+QAQAAAAAAAAAAAADP+IAM\n",
       "AAAAAAAAAAAAAKgqPiADAAAAAAAAAAAAAJ7xARkAAAAAAAAAAAAAUFV8QAYAAAAAAAAAAAAAPOMD\n",
       "MgAAAAAAAAAAAACgqviADAAAAAAAAAAAAAB4trVcLp/cBU9P9nTt7e1Nju/v7+31q9Vq47nb29vJ\n",
       "8cPDgy1rZ2endf76+nrjtbu7u7Ystb3tv72789qux8dHW9ZisXh7xcqPQRpPrXe6983NTas85+7u\n",
       "zp7f399/8/WpnSl2VIqPcUxTn2mcKx2/VFdXtxRbKt2rU17KBYeHh5Pjq6urP1ye5qEUl6mdnfL0\n",
       "2nT+8vLSXt+R4jLNv62trcmxy7lp7LWsJPXbeL+0FnTvndri6tbN36mdYx5LcZnymsZDKs/1m8Z8\n",
       "irVu7lgulxuvPTo6smVdXFxMjlNOdfGj7eysWa/R8Xbt7K7Hp6en9np3r6ppP6Xx1Lqlde3du3cb\n",
       "z52cnEyOP3/+bMtK813r5vaVKd9qu1IsJWOcpz5LsaZ7nJRr3BzUPk37re6+c87aof2gez11fn6+\n",
       "8Zz2QZpjLm6rqs7OzibHri0uDqte5po5ezuV9ltpjdTzc/aVOp5pDXTPZlVV6/X69/9O7Uzz9+Dg\n",
       "YHLsytM9qtJ6z31mHeMj3bu7x03zXXP0SNeddO803qmfRinWdK+Q1kB3b91XpFhL57XuLqd++vTJ\n",
       "lqU5MeVIN976t2k80xhon378+PEPl6VzKsVtymtjn6f1NuUOnZNz9goap6md3dzi9j2p3lpWun6c\n",
       "72lOfPjwwZ7XfkjtdvNAxzuVlfY8nbyV+kzPp7yl+5CR1juNgeY5pf3mYjPlem1nmoOubvq33fdb\n",
       "SvOeG4OUb7vvBdJ4j3Wb+z5Tc2R6vv769evGc9rOuXNK3/u5tqTY0VhMsenWvW6spX7Qurj3nd2y\n",
       "Umy6dmquSGV13wN2cqbSuE/jmYx1m/tOsVs3NwbddxCpbuMYpfHS5yHVzd/ufprz5uZvzRVu7UjP\n",
       "0no+vTdyOVnrNec9bNXL2HH91p2/3W8Ek7+1fwkAAAAAAAAAAAAA+JfBB2QAAAAAAAAAAAAAQFXx\n",
       "ARkAAAAAAAAAAAAA8IwPyAAAAAAAAAAAAACAqqraWi6Xm38JuvKPXOsPMKcfi9YfbHdluR+pfsv5\n",
       "TnndH7lOPzztflBdfxA7lZXaqT8G734sPP1Yt55PP+ae+u3u7u7N16YfOddYdP2S+kzbme6d+mEc\n",
       "7/Sj9OnH2cc+q8pjpuM/Wq1Wk+PUjsPDQ3v+6upqcuz6ufvj7Fq2cnNKx8/lmaoci3retVPnc6rb\n",
       "nPHUsi4uLmxZi8XCntc5leaBo+3qrh1qrHuKW9dnVf12deL6+vraluXitmraTyk2umtFKs+Nkeax\n",
       "lFPTnNK/Pz4+3nhtygUp7tO9R1rvFLd//vOfW/dy/XJ+fm7L0rqkOE9jtF6vf/9v1/9VL/PanLyl\n",
       "a1o3Lyn9ezcH0730b8c+ek2KzTHXpHYk2ufdfepI25nGP+W1zn4slaV9ntZv169ajzQnUn7W8529\n",
       "vdJ2pXt31qHuc4La39+fHKe2ODrn0rqV7jXWXeupUj9o7HTWQKX1Tvvn09NTe37U3aOq7vi5ftV1\n",
       "6suXL7as5XJpz3f2Y2mO6NqS8rOrm+4rUtweHR3Z8+/fv58cuzHr5oJufnb1SOOR7qXz3c2bNAe0\n",
       "rO57HjX2Q1qP0xho7KRnebeX0GeatOalfYmWN2fvofGQ1o7x3vrOQX3//t2eT2OgXHxoH6Q+PDs7\n",
       "s+e1H1zspbhVKY7dea13WiPTvTTfuzhPa56OZ7q3yzV6rzl7lKqX/fTrr79uvDbNT437FEud92Np\n",
       "nem+g0jXu9jtvs/qnnfP9t13SqmP3TOQ7ivSO6jUTu1zlydTXP/IbyVaVurj7jsI9/yd5pTGbbp3\n",
       "Gu9xTNO1Ka9pnKbx77yDSuOZ+m2coxrHKr0f0Xt1v62MNLbSvZPUD6M03hpbc953atym95VpX6Jj\n",
       "OOfbl5rzjY9/gQwAAAAAAAAAAAAAqCo+IAMAAAAAAAAAAAAAnvEBGQAAAAAAAAAAAABQVXxABgAA\n",
       "AAAAAAAAAAA84wMyAAAAAAAAAAAAAKCqqrYODg6e3AUPDw+2gO3t3jfovb29N99ra2vLlnV/f2/P\n",
       "LxaLN1+f2qHnHx8f7fW7u7sbz11fX0+OXZ9U5X7Qutzd3W28Vvsknb+6urLX7+zs2PNjP6SyUqwd\n",
       "HBzY86MUG8vlcnKsYzLn3re3t/Z8aqeOgRvPKh+LOj4p1m5ubux57Td379ROPb+/v2+vd/Gjf5vG\n",
       "M91LuTFN81NzRxpP7ePR5eXl5DjNv0T/3rUl5Q7to27ecudTfk5laV3S9a5ftaxUt6cnu8RO+s2t\n",
       "G2+5l/59yrnr9frNZaW8luJ6tVpNjl08pbJ0fqdYc/n75ORkcvzx40dbVmfNq+rteZSO38XFhb3+\n",
       "73//+5vLS32s9U597MZT+yS1O9H13dWtmxtOT0/t9RrHaoyPNJ9TbtDxT9e7WNP5m8pK+V5zka5N\n",
       "I7emvSbVze1TdHzSnibtibSdrm5pjmjcp/hw80THJ8V5d8/j7t3dw6a1I4332E9z5kDVy/ztcmqa\n",
       "A91n1rQej9KccWt3VdXZ2dnkOO0dOuOdxiDtv7Uu7t4fPnywZWlspWc/VzdtV9oLpFjTNdbNwZSn\n",
       "uvPX0T5yubuq6t27d/a89umPfNeS+jjN0XEMUo5MdDzTfHd7RY21tLdL469riRvTNJ5d5+fnv/93\n",
       "2h+lWNN+SfFydHS08Vz3XVva22td9Nlh9P79e1uWzpF0b7cv1fyZ+izdaxzPKh/n6V46Bik+XO7Q\n",
       "2Ej7p7nvR0apnVrv9HyV5vt4v9TOtN5294puDDQPpbql+a7lpb2io+Od9qkuFnX80vin/Kx1cet9\n",
       "d/+UYq2zd0h9lsZbY8v1W9pH6vkUt5332919SDLnPaDGfGpHMs6DNJ9SPtbYSvtUV57WJT3jpPFO\n",
       "cd/ReSZJun/b3Xe4Me0+k6S4tWu//UsAAAAAAAAAAAAAwL8MPiADAAAAAAAAAAAAAKqKD8gAAAAA\n",
       "AAAAAAAAgGd8QAYAAAAAAAAAAAAAVBUfkAEAAAAAAAAAAAAAz7b29/ef3AXb2/4b893d3eR4f3/f\n",
       "Xv/4+Li5Mltbk+OHhwdb1t7enj2/s7MzOda6vrVeVVXL5XJy/PRku82ev729nRynPtZ2qPv7e3t+\n",
       "lPpMx+Dm5mZWeWPdtd1dWjd3bzfWVVW7u7ute6d2jrHanTNKx3OxWLSud1Ld0pzTeeLiPPWx3ivF\n",
       "uY6/u1fq49ROrYvrt3QvrXdqpzuv9U7tSGOg4+nK6+ah4+Nje/35+bk9P/ZbivE0RzRO0zzojLeL\n",
       "y7ecH+uWxnNOvV/jxkjHO8XSxcWFPa9j4Nqa7nV5eWnLVm5fou3UtV4dHR3Z8zoGbg1N66v2USeW\n",
       "XnNwcPD7f6c+1rLSHFyv1xvP6dqf1tOzszN7Xuvu2pLm1PX1datuqd/G/OD65C11Oz09nRx/+PDB\n",
       "Xq9tcfdKcZ7oHHTrQzduu+vzSOdfWre0HUr7ycXm+/fvbVk6PnPWDo3TtL/urg3u+lRvzRXpuXDu\n",
       "+j5KddMxcO1M+VRzgZt/r12vxrqnfWX3+Tf1i6P7xNTOdK/O81d335liyeU97fOPHz/astKeR2Or\n",
       "OwdH2q5ubI50/FJZ3ecMN/7d9x2pbmkPNZ5P63H3uTGtoa4fdN2Zu7fX/L9arTZem/KptjOtkWM7\n",
       "0x4l9bFK4+viQ3NkyplpDdU86MY3zRldE9O9O+9arq6ubFnpfaeO0fjckK5Vmre6795GOn4p/6a1\n",
       "Q+vu5kXqM30u1L27Ojw8tOfHeHBzuSqvx2n+qtSvHSlv6RxyY9B59qrK/eLupbGW9hVujlS9jB83\n",
       "Jmld0WeQtN/q5Nw572GrXo6Ry4Mpt+v4zHkurJrm0Dnfql6rS4pzV173/WRq51i31I50XuvW3TuM\n",
       "dE6lvV1ax3SeuDna/Y7SfXc+0jmS1vZuXnOxm+7V/c7q8C+QAQAAAAAAAAAAAABVxQdkAAAAAAAA\n",
       "AAAAAMAzPiADAAAAAAAAAAAAAKqKD8gAAAAAAAAAAAAAgGd8QAYAAAAAAAAAAAAAVBUfkAEAAAAA\n",
       "AAAAAAAAz/iADAAAAAAAAAAAAACoKj4gAwAAAAAAAAAAAACeba1Wq6c5Bezs7LSuf3rafLu7u7vJ\n",
       "8Wq1smXp9WqxWEyOr6+vN167v79vy9ra2poc39zctO49enx8nBw/PDzYsvb29ux5/Xt373QvbWe6\n",
       "/v7+/s3lpT5O99LYcdenuNQx2N72/y9FGoOxnSk20r207qmPtS0jN99es7u727qXuz7VW8dPY69T\n",
       "Ny0rjZfrs6qX/eb6MdW7U1aVn7/apymW0pxK5Y+Wy6X92878rPLtrJrm6xSXqU/1fCrPzWH924OD\n",
       "gz9cVtU0FtN43t7e2vPv3r2zx+ry8nLjOc3X5+fntqw033UM3LxJ81Ol8XSxpvuCv/71r7asNA++\n",
       "f/8+OZ6zTmmfpTnzj3/8w54f4+FH5w7XlsPDw1bZV1dXrXu7OXhycmL/9sOHD5PjVLeLi4s31yvF\n",
       "Slo7tE/T9a6t6/V6cuz2w1U/dp+S6q33Svm889yRxjPlGo0tl4O7+4q0Nui8cfVK+XnO/kqlZy+N\n",
       "+5S30pwaxzvFbbqXrmuuLWl8tKzUx2n9HstLcZvGQGMxPU+7+a75ON27mzvcfE85VOM+7cdcrGm9\n",
       "0zNrupfWzT2XpNjRPk/z4P379xvPaX+fnp7astIYqLOzs43nuvMzzZnUb2OfpxyX7pXOK7eP0dhx\n",
       "ub7K79VfO+/WotRnev74+NheP87ntHdLY6BzMK2pLp46zxyvXa90zrnnqzRemt/TnsaVp/Mz5YZE\n",
       "Y9Hl+5QDv3z5MjlOucStudpHaZ1JsdN5xknrZ3r+7V4/xmqaM935nPZbnWfzOe8nq16OgSsvrce6\n",
       "vqZ87eJH10+3plX12+lyx9evX21ZP/K7i+bPtLdLOVLb6WI3jY/eK41/Km+sS2pH9x1hd10baV3m\n",
       "jsE4pt1nNaVryZx3p7qPSHMm1V1zstt7dJ/luvl81H1vk+6l5+c8R2gcdr+7TcqyfwkAAAAAAAAA\n",
       "AAAA+JfBB2QAAAAAAAAAAAAAQFXxARkAAAAAAAAAAAAA8IwPyAAAAAAAAAAAAACAqqraWq1W9te4\n",
       "0w8y6/n0Y9Dux5/TD2ar9IPqnR8m7/4offrhaVee/nD4wcGBLSuNgZZ3dna28Vr9EXN1cXExOXbj\n",
       "VZX7Yfz77o+Yq9vb28lxd8xG+kPw6cfc0xiNPzQ/94fhtc+74z9aLpeT49PTU1uWXq+0Lm78U711\n",
       "fqZ+0x9/H2neSXkojaf+vbt3on2U5pQzxllV7uM0R3QM9HiU6q1x3R3/7v1GaXw0tlLecrH47t27\n",
       "yfHl5aUtK82pMda67VCa31POdblIxyfNqTTe2udu/DU/Jx8+fLDn3TxYr9eT45Qbfv75Z3tex9DF\n",
       "sa63SmPt6urKXp9i7ddff/39v7XdarFYtO7t+k3X7lTW4eGhPa9xq+WP0p5Hx+fr16/2+tRvY9tS\n",
       "DkvzU6V54e6nfZT2W2m+61r0/v37jdemdmpuSLnE9YPGRmrnycmJPX90dGTLH+mcUdqu8/Nze70r\n",
       "T9uV5lRa8zSu3XNEWqc0Duc+R4yxOHc8NXZczkz5VGMhjb/OGTWuU2n+peeIjx8/To7TWuPWSI2t\n",
       "tK90+bjq5Ri4tqRY07U/PeO4WNR2zXnOr3q5x3HlpbjWv/38+bO9flzrlY5PyrcaS+q3336bHLt2\n",
       "pjmisZHqlubJeH61Wtlru89T6Xo3DzQ20pxJsfb9+/c31y3Vu7OHVem5Lu2v05xTri3ajjTHuvsx\n",
       "l2vSXq3z7F3l+037LLUj7WE1Fl3d0jqkfZ7yuRtPff5N62ka7846lPKM1i21M9V9rFuaMzr3lfZp\n",
       "qpvrN/3bNP7pnUVar0dp7Uj3Uq4fNDZS/k15q7MXSLlA17G093f98qP3PBoPro9THGoeSuOf1tDx\n",
       "79N87r6L647ZSPN1iuPOc0kqK9Vbxzv1i4sfLSvdO61jGg9zvkdoPHTfQblzqZ2pbtpOd++0V0vr\n",
       "Tgf/AhkAAAAAAAAAAAAAUFV8QAYAAAAAAAAAAAAAPOMDMgAAAAAAAAAAAACgqviADAAAAAAAAAAA\n",
       "AAB4xgdkAAAAAAAAAAAAAEBVVW0tFounWQVsbU2Ot7f9N+mdnZ2N5x4fH1v3fnh4sOfX6/Wbr7+/\n",
       "v/+h997f3994Tvss+ZH9slgs7N/q+FxeXtrrl8ulPX97e/v7f6fYeHryoajnd3d3N157d3dny3Jx\n",
       "+Efs7e39/t8pllLsKBdLVX6M9G/H8XhNt1/cmKXx1Ht154WT5kw3Plx53ZyX2jnGktJ6z41zHSPX\n",
       "zhSHWpfUzjRGY65KcybFtea9NGauX/Vv56wFVdN8ka7tlFVVdXV1Za93Y6R94PLtW86nPh+ldUXb\n",
       "eXh4aK9frVYbzx0fH0+Of/nlF1tWitvOfE85Uvs0Xd/Je2md0jFIucaNmbYj7Stubm7see1jN77f\n",
       "vn2zZX369Kl179TH4/kU8ylv6Xnd0yo3B7XeKZYODg7see0nF+cpR+p4pnXLtfP09LR175S3NIe6\n",
       "dn748MGWdXJyMjlOsfTu3buN57Rdnbh8je473HxPsaHzO+WaNAbjupfKSnGtXHlpve302VvKG8do\n",
       "btyenZ1NjlNsXl9fbzyneSy1I9Gc7NqS2qlxnfYCLidrTpsbaxoPbt6k8e4+H7l+0LFO7UzvDbQf\n",
       "XF3Pz89tWRpb3fysxv2dzgmVxlNjJ61Tbky1LPfcV5Xb2XlmTfsO/dsUe2nPNEqxpHu5Oc9qWq/0\n",
       "XJFiTcfTtSX1sca5y79Vfgx07FMcp/HSurh+S3lL+yjN/877j9TO7vtOlwfdM0bVyz1Pund6Bhrj\n",
       "I41X9x1Uuj7F4qj7nk9pXHffj440b6V2pDEapb1dKkv73PVbyrfaLvecUOXXAo2tbt5K93Lj2V3z\n",
       "Uiyl8jrP5mlPpGOU5qgbb+3T7rctNcZHeu5L/dCdjy52dX3tvrdVOiddXbvPLHPyUOe9elWe73re\n",
       "ldd9/k33tnvY1p0AAAAAAAAAAAAAAP9n8QEZAAAAAAAAAAAAAFBVfEAGAAAAAAAAAAAAADzjAzIA\n",
       "AAAAAAAAAAAAoKr4gAwAAAAAAAAAAAAAeLa1Xq+f3AUPDw+2gN3d3cnx05MtLp4f7ezs2PP39/f2\n",
       "/N7e3uR4e3vz9/LHx0db1tbWVuve2i+uHuneqc8Wi8Xk+Pr6euO16V77+/uT49vbW3v9u3fv7PnT\n",
       "09Pf/zvF0uHhoT2v7XLjme6lNFZUisWxnzRWlI6X0nZ25+BI4zT18fn5uT2vfe7acnd3Z8vSurnx\n",
       "rPKxm/pUpbpp+P+cRwAAIABJREFUn7r5nsrSOZVyh4sfrVeKjXRe495d7+Ks6uX4pDFJ/TCWl8pK\n",
       "7dTYSvd2OVfbuV6vbVkpH1xcXLy5rDQGZ2dnk+PuujbSPk99nObBarWyx5173dzcTI7TOvThw4eN\n",
       "58b+r8rtSHS+u1jqzqm0F9DxV0dHR7//t7Zb6fikvYCLNZ1vqR1pzmi/ufU5re3arnR96uOxbmlN\n",
       "S3nt8vJycpzms1vftU/TGKR7adtceanPlsulPVY6/0dXV1etstIYab+5eZD2iRpbab+V9mujuXsB\n",
       "bafLzyl36PxMfezuVTUdUzf2VTl36L3GZxSV1mNdK1LuSHUf51z3uc+VVZXXGl23RuO6UZXjNvWD\n",
       "xqK7PvWZ1sWt9VW9+Zv6+Pv37/a8xpprS9p36B6ns39Wuq64sa/Kc0r7zfVxyscaG2kMNN+rcQxS\n",
       "Dkz9oOM3Z47q+KWcmvpNzVmnNO99/frVXj/2cSo75Q7tszT/XTt1/XTvxl67Xunfu3Ur1VvXxJSf\n",
       "XZxrbBwcHNiyTk5O7HmNzbQ+Ozrnus/qI82RqY913VKa11zOTM8/mjs0x6qU18bc0nlv/hqdc2mO\n",
       "uvjRPkvtTOuUzrk5eUvjIcWHo/dKY9B91+bme/c7SnpWe//+/cZzGhvd95lKx8+1JbVTxyDFUoqP\n",
       "sW2prJRDNbbSnteNkfZ5yrep7uMYzX0u1PHuPvu5e6V9ZdL9/tgpa047u+9auufdmKU47H7LdGPE\n",
       "v0AGAAAAAAAAAAAAAFQVH5ABAAAAAAAAAAAAAM/4gAwAAAAAAAAAAAAAqCo+IAMAAAAAAAAAAAAA\n",
       "nvEBGQAAAAAAAAAAAABQVVVbq9XqyV3w+PjYK3Bry57f3d3deG57e/o9++HhoXXv5P7+fuO5br13\n",
       "dnbs9a7ftJ2uXqms186vVquN197c3Niy9vb2JsepnU9PNnwmdbu9vbXXLhYLe17jwcXH/v6+LUv7\n",
       "4eDgwF6f4mMcwxS3y+XSntf4SP3mxkDrneqWzus8SP3ipLhXrt+6uSLNKR0D1840RzTWdI6pu7u7\n",
       "jee0z9xcr+r3i8sPaY5onKZ7p9gZ53DKW67Pql72ecpbboy0nSlvpVgb65LyVupTbZfGsXJzUGMr\n",
       "zdcUH1q3i4uLjdd+/PjRlqW5IM0p12+Xl5eT49TObuy42Ex99vXr18nx8fHxrLqN8ZDa2R3/q6ur\n",
       "jed03Uhlpfmsc27O3k7n59HRkb3etbNq2m9pPE5PT+15rUvaCzg6B969e2ev13mhOnuolAO1bilv\n",
       "ufjQuE3j1d3juutTHtLxXq/X9nq37mlcp3akteX6+npy7Mbz7OzMlnV4eDg5Pjk5sdd/+PDBnh/H\n",
       "O8VSaqfOIbeH6j57pTE4Pz+358e6pHune2k7dUw6ddM8lPYhGktK87WbN93nhDSnXL/quTnPXlUv\n",
       "x8jlopTztKyUa1x52s507+5zocvPaT3WPk/jn8Z7vN/cZxI1p990/NK9U6x11uMUO1rWj3zPk3JD\n",
       "J5aq/HuBVG+V9n46nm597s7n1G/uvJaVnivS3k5j0a2pqd76t2k8Xb/9+uuvk+PPnz/bsr58+WLP\n",
       "6/OUm4Odd4BV/feZapyj+hyo0njrnEt7B5dzu+/C0xzsPmc63XenLg/q3E77Mfc+o+plP7l4Su+I\n",
       "df6mPa+LRe3vlJ/TOwiND7f3T3NKxzOtW2m8x35z36Lecl7jOrXFzRPNiWk+p9zRmUPd70+pX1ws\n",
       "6pyaux/T+HB1666v6d26ywfdHJb6tHPv7p60+wwzuZf9SwAAAAAAAAAAAADAvww+IAMAAAAAAAAA\n",
       "AAAAqooPyAAAAAAAAAAAAACAZ3xABgAAAAAAAAAAAABUFR+QAQAAAAAAAAAAAADP+IAMAAAAAAAA\n",
       "AAAAAKgqPiADAAAAAAAAAAAAAJ5trVarJ3fB05M9XdvbvW/QDw8PG8/t7u5Oju/v71tlq52dHVv+\n",
       "6Pr62pa1t7fXuvdisXjzvVy9/si97u7uNl7r+r+q6vHxcXKc2r1cLu35cQxTHyedfkqxo3Gb2pHi\n",
       "fOy3NGfSGHTjXsdspH3mYqMq113Lc/GR2rG1tTU5du3o3iv1cZLqMkqxoXVxueG161290vzUPlad\n",
       "8UzzV8vq5ho1xmK6No3B/v7+5Lgbm+5el5eXtqzVamXPj21LOe7m5ubNZVW9XAOVGyNtZ2pHimst\n",
       "T8eko7O2V1Wdn59vPNfNkalPO/uYtO6cnZ1NjlOfXV1d2fPjGGrZSscr5Ro3/jpHUl5K99Ly3PWp\n",
       "z7prx+3trT0/1iWVleqWYrFT3unp6eQ4zeeUUzUXuTH9/PmzLeu3336bHKd50Vnf07Up1rSdro/T\n",
       "vTR3pHu7vHV4eDg5/pHrUNW855LuHrazT0nrTOoH3cccHR2F2m2m8zP1Wdpfd/adaT+m8TEnF2nO\n",
       "Szkw5S3tJ7evSeOjsZNyqqu7lpX2W53nwlQ3N9erqt69e9eqmzuveWjuetx5tk/7J+3TdH0y7nNS\n",
       "O9L86zwvVfl5oO1M905xreW5+Z7WV91HdvYpKZZSO3W8u8+drqy0P+7mZzf/U5/p/Oy+e3HSGKQ1\n",
       "VOvm1vO03uo6NOf9mI5nWme6892Vl+qtfZ7WhrSujXGf5kA3N6RnP5dzNRbm5MCq3vvrFLc6R+bs\n",
       "ibXP073Tnlfb1XleVlrvOe/aNG7TeKZ76XkX52kfqWWle3feQV1cXNhr03jqvVLdXP7Wfkjrc5pT\n",
       "4/mUG7prXoqPzv469fF6vbbndT13eav7HiBd39nbJWlt17q49T3NKe2j7veLyd/avwQAAAAAAAAA\n",
       "AAAA/MvgAzIAAAAAAAAAAAAAoKr4gAwAAAAAAAAAAAAAeMYHZAAAAAAAAAAAAABAVfEBGQAAAAAA\n",
       "AAAAAADwbPfp6clekM4/PDxMjre2tvwNd3ffVrM3XKv3Vjs7O5Pj7e3N38v12rncvbRPUzuS+/v7\n",
       "yfHNzc3Ga/f29mxZi8VicpzG/+7uzp4f25auPTg4sOcfHx83lq1c/1e9bJf2Ybe829vbjWWr/f19\n",
       "e15jUdvdqZu2S8dXpVjU+T22u0v7Kc33q6urjee0z1JZqd76925Ml8ulLUv/No2no3Pk4uLCXr9a\n",
       "rex5/XsXSym3d/NYKm+M1dTOpDsGbry1nWk+X15e2vNj/KQ+vL6+tud1vFN5rp2aK9J4pTW0Ex/d\n",
       "+Zv6uBPXaY1MuUPPu1hL6053X5LW2LFf0xzQMUhrx9nZ2cZz2qepninWdDxdP6ZY0v3Ser2eVbfx\n",
       "fOrj1Kdat5Rr3B5K65LK+vbtmz2vY3p8fLzxWhcbVf19hau75rS0H+vur9z4p/ys4532lZ17pTnV\n",
       "3Ze6e6fx1LLc3q0qz4Mxv6c+S2Vp3U5PTzdem+a65oqTkxN7fXrGGdfIdO9Ulo53WtdcP2hZqW7u\n",
       "GbSqt0b+9ttvtqw//elPk+MUH26/rn879/lXy3PtTHt13eOk/O1yUeoj1dlXVPn5nuJW29ndC7jz\n",
       "KdenPtU9bJpTbs+rdXHrZ1V/z+RiN+Vv3Xemvft4Pu1Zu+vxnGc17bPDw0NbVndvP+e9YYod5fLW\n",
       "9+/fJ8cpjtPztO6n3fh/+vTJltV93+nmu8ZCyiUpznUMXN1SvTUHprz05csXe36Mrbnv7bp7Ylf3\n",
       "zjv8t1yvc9S1JeVAnZ9pHrjyuu/C0zp1dHQ0OXZ7pPQMqmt7urej/d395pO4dzPp/YfmvDlrQVUv\n",
       "X6cx6K4FLta0T+e+HxnzYnr2Sn7kM05ql0rP0xoPbk1NzyTd9dhd333fnOaB5lC3T+nuv+a8g+Rf\n",
       "IAMAAAAAAAAAAAAAqooPyAAAAAAAAAAAAACAZ3xABgAAAAAAAAAAAABUFR+QAQAAAAAAAAAAAADP\n",
       "+IAMAAAAAAAAAAAAAKiqqq3FYvHkLtjd3bUFbG9Pv0E/PDz88cpsbdmy0/VqZ2dncnx7e7vx2vv7\n",
       "e1uW1iX1i+sH/dt076cnO0S1Xq8nxzc3N3+oXlUv25nGINV9bGsq6/Hx0Z7Xuu/t7W289urq6s31\n",
       "qqpaLpf2+jQG4/1SbKQ+29/fb13v6BxJcya1c7FYTI5d3dK9dD7qfFUudnX83Fyv8rHz2t+vVquN\n",
       "16Y+u76+nhxrHyo3T3Rud3NgKs/1y93dnS1L25VyTar7mA9Sn2kfK51TKRe5HKp5SvOv6uT31Cep\n",
       "T7VuqZ2u7trnqSzt41Q3N6fOz89tWTrnUt3cPNC4TnGexvvy8vLNdUtxfXFxMTlO4394eGjPn56e\n",
       "/v7f3dyRxtfNQc0r6d4pP2ssub1D2ldovY+Pj+31KT5+JF3XUp5za5H2Q1ob0h4qzYNRqrf2+a+/\n",
       "/mqvT/Nm5PJMVdW3b9/seW2n21ukfaTOoZTn3DzRvJL2IYnGh7t3aufJycnk+OjoyF7fWSPTeJ6d\n",
       "ndnzGvcu16R9pLZrzvNv1bRfUztSXtN2pecSN6Y6f9MYpPHUfnL9lua6rrdznr90vD9+/PiHy/rR\n",
       "tB9STnWxq7Hh9rtVeb3Wv3drQ9qrdeuW5ugY12l+pj2Oromd9x9K9xEpztOc035wY9aN27S2dPJW\n",
       "aofGddoLurrpeKc4TrlD7+XiKcV5l9vba5+ldqY9rI7Rly9fNl57cHBgy0rjp1y/aX+nOE65Q7l+\n",
       "S32qfdZ9Vldj3VMsdd+Vp7q5ZwP9224+VxqL7t5pPLUuaW1wuUNzgT6Lp3urzrNc2l/rvdJ8du3U\n",
       "OZTWoe7zrxvP9AzafZ+V9kTjHE1rWrqX/v2cvUD3vW7nO87c72jazjSf3RzVPkhjkPq0846yuxak\n",
       "vYB7P6LvM1Ie6j4vuTmayuq+B3LznX+BDAAAAAAAAAAAAACoKj4gAwAAAMD/x96dLEdyZFcfv4kh\n",
       "B8xAoQaymuxumYZ30Pu/gkwLaSHJmmwWWZjnWRtYfR4HyHPgTK4+/X8rhHmkh4f79eseEaQVAAAA\n",
       "AAAAnvEBGQAAAAAAAAAAAABQVXxABgAAAAAAAAAAAAA84wMyAAAAAAAAAAAAAKCqqkbT6fRpkQoe\n",
       "Hh4Gx0tLv/+b9Gg0sscqXUvLta2tx8fHrrru7+/t+ePxeG7Z09Owy925b7mWlrt+29zctHWdnp4O\n",
       "jldWVuz5y8vLb25b6uM03qm81dun0+nUnn93d2fLXWyp1KfaFo0XdXZ2NrdM+yHFUu88cG27vb21\n",
       "da2urtpy5cZfrzWZTGxdqU+13F079Zm2JZ3vyrVdKS57+8HFcZojl5eXg+OUn9MYtPGRzk3zr3dt\n",
       "WVtbm1uW4lql8W7rS7mhd31191Hl87fmihRLW1tbtlzH6OTkZO65vbnh+vralm9vb88tu7q66rpW\n",
       "ijWNVVd/Wqe0rjQGKdbaOZzO1Xantro5pbGUxjfNd+XGJM117YcUD2kP1ebkNF9vbm5s+R+5Rupa\n",
       "MZvNbF1pbdF4cGOQrqU5Ne0rXb9prPWu9Ur71LWt91opPtx4al0XFxe2rvX19a5yXc9bKXdobCw6\n",
       "D9r4cfvdqqqNjQ1brlxOTXGocZvuI82p9j5TH6fx1vU4tc3ltd45lfaKOobuuSTFjvZpWiPPz8/n\n",
       "lr1//35wnPYVvftvF09uvlXlPlVuvDVXp3UmjYHel9srpPmrbUuxlvYl7Xjv7u7ac9N8171B2q+7\n",
       "ZwX9bRqDNN97Yi3lFv1teuZpnzMODw/tuWn/pHMu7d9cfGhZWgPTfNZyF3u971pS29y+VMcrzZmU\n",
       "17QtLjZTLH39+nVw3PPOUGnspLhMa4H2qTs/5We9r3SfaZ/S5q30zJn217oWpDFza0fvO8U0Bjqn\n",
       "3DqX9jDa5ymnuvjRdqX77H1/7daOdC397SLvFLVdi763S21ppfvUuE75Oa3HrZQ7Uj/o79O13Vqh\n",
       "99X77K3a/J7eAfbGWsprbm3RWEuxtMhaka6d6kr7bXefOj5pPHvfUTmpTzWuF9lf8X8gAwAAAAAA\n",
       "AAAAAACqig/IAAAAAAAAAAAAAIBnfEAGAAAAAAAAAAAAAFQVH5ABAAAAAAAAAAAAAM/4gAwAAAAA\n",
       "AAAAAAAAqCo+IAMAAAAAAAAAAAAAnvEBGQAAAAAAAAAAAABQVVWj6XT65E54erLFL8qXl5ft+Y+P\n",
       "j3PLVldXB8f39/e2rtFo1FXuzk/tfnh4GByvrKzY81O/tW5vb9987mt67jO1S3/be75aWvp//42C\n",
       "9qHS8Vd3d3eD47W1tbnnpmtpbI3HY3v+9fW1LZ9Op9/+7p0zSudIio/19fU3X+vy8tLW1Tt/Xb+l\n",
       "+avXSrHkxlR/6/LMW7RxW+Vj8+rqytalY9DGyms0zlvaZ+k+0zzQ+tz4a58obUu6dqqvHdNF77OX\n",
       "a9tsNhscp/mZ5tTNzc2b29Wbj12OrKqaTCZvrmtra8vWlcbg7OxscOzG1LWr6mWfpdyR8l4rrUOp\n",
       "TzUfuPHXWFLaRz37ite0cZ3iTtt9enpqz3drgd6nxoJK46+x5mJve3vb1qXjlWIpte3i4uLb32lf\n",
       "kfaRWp7G3625Wpbyb5oH2ha3DqY50xvnru26fi66t9PYPTo6evO5SudcapuLNb1Ptw+sqjo/P7fl\n",
       "Pfn+5OTE1qV7nDSn0p6ozRdpzqT77JHGR9ud4rbnWW9zc9OWHxwc2HLtp3Rtd69aV+qX1A86Tw4P\n",
       "D+eem+Ja52/Kay5+dJ+Q9jQpFnd2dgbHbt6k/VW7rlTlvOVobk/3mca75x1Emp+a81IsbWxs2PKv\n",
       "X79++zvNqUTjVsdEuX7V9Xhvb8/WlZ4zdW1x63eaI9rnKT7aMUhxmfadOv5pjrlY0/mc6krvLFIu\n",
       "arnn+Kq+8arybddrpWfO3vdAro979+qpX1zbdXzSe4E0nru7u4PjL1++vPlcpc80KS+ltrVzMPVx\n",
       "2l/pnEzxcXx8PLdM9zyprpRrtNydn/Ywvd8j3JzTa6X76F2PXR5M7dZ4SPtnt3Zon6W1Pq1DPe8o\n",
       "0/OSrq+LvudrxzDNqZSnVJqDbr5rbC36nuet163KOVTjIa1T6XqtRd+Nar+5a6c+7d13uL1f7/66\n",
       "5zvaHy21zcUH/wcyAAAAAAAAAAAAAKCq+IAMAAAAAAAAAAAAAHjGB2QAAAAAAAAAAAAAQFXxARkA\n",
       "AAAAAAAAAAAA8IwPyAAAAAAAAAAAAACAqqoajcfjJ3vCaOQrkPKVlRV7/v39/RubVvX0ZJtWs9ms\n",
       "6/c3Nzdzz11eXn5zu6qqVldXbfnd3d3csqWl4Xd7d25V7tPr6+vBseuXVJfro9ekfnh8fPz292Qy\n",
       "seeen5/bcm27u/bDw4OtS6X73t/ft+WXl5ff/k5zpu2T12jcpvpc2zXW0vinWNQ+d/eS5lTqB+Xu\n",
       "c21tbXB8dXVl65pOp7Zc+yGNgaOxOB6Pu85v9fR/Vc63mivaOFZp/vbOuRQft7e33/5Oa0HqB73P\n",
       "lLfcvWhsLNq2VurjRO9ra2vLnu/aprlD15leJycng+O9vb2556ZrabvX19d/d7s0ryy6Hms8aD/2\n",
       "0Laktu3s7NjyNu+lurRfUg5s56vSa6W4dHVVvcxr6V4cHc80vinPtW1L60yKDV0r0hi4PZTeV1ob\n",
       "0pzSOejGIOVIlcbTraH6283NTVtXGiPNWy4205qm5Wn8XSxq/6c1LcW1rj1u/NMc0PLj42N7/sHB\n",
       "gS1v++3i4sKem/phd3d3cOxyUZpvGodp/DWWVBsPuqdVaV/x5cuXwXGaU999993cMh2/FLdpDHQO\n",
       "uXt1e9LXpPnsYlHHM61D6blRY+vw8HDuuel9hpYvMg/Ozs4GxynWUlz37P1TPtY+T3Gb2n50dPTt\n",
       "77TvSHTOpXnQ8x4oxVp6NtBYdGOW1oLePVE7b05PT+25aT5vb28PjtOzgMvRPc+3b6Gx5vo49YPm\n",
       "mrQfc3so/e0icVlV9f79+8Gxe5+S+lRzQ8pzbh7oWC86Z5TmxVZqt45n2vOmMWrHNK31qS6N01Sf\n",
       "6we9z5QbevfErt9SuzU+Ur+49VtjJ+WhFGvaNjffUy7Q+ZveKbr53vt+MpVrrnDjn+av9lnqYxe3\n",
       "VcO2L9JnVS/HKO07Xez2vl9OsdjGfe+3LaVtS211c653nUr7655c1Pu+Kz3DuLb3vo/q/VbixqD3\n",
       "ffQie3v+D2QAAAAAAAAAAAAAQFXxARkAAAAAAAAAAAAA8IwPyAAAAAAAAAAAAACAquIDMgAAAAAA\n",
       "AAAAAADgGR+QAQAAAAAAAAAAAABVVTVaW1t7cic8PdniF+XLy8v2/IeHhzfXNZlMbF23t7e2vMdo\n",
       "NLLl9/f3g+O1tbXffa27u7vB8dKS/46f+nQ8Hg+OXb88Pj7auvQ+0xik+m5ubr79vbKy0nVtpWPk\n",
       "xiz1qZana6fxbu8zzZkUazpH0r2srq7OLbu6uhocT6dTW1d7H6/RMXSx6eb6a1K/uPjRPk/jmcqV\n",
       "u8/Ubp2f19fX9nxX3/r6+uBYc4lK5Tp/3X32xnU6P+WWi4uLN7XrLXX1zvfLy8u5ZTqHFs0d7Rik\n",
       "PpvNZra8Zy2oqtrY2JhbdnJyMjjW2FNpvusYuNjs3XekOejKdaxdPq3K96ltc3krrZ/a5zs7O/b8\n",
       "FItt7J6entpzdXw0ttTR0dGb25XGK61D29vbtrynLr2vlEvS+LfjneZrGgOdg2leuNhNsbbo+U7a\n",
       "+/XmVBc/Oj5pz5PGU+eBW4tSXGqfpr2A6weN0zRevXnN9fHh4aGtS3+b1u80Rm19KQ8lOkabm5tz\n",
       "z03rp8ZGyjWpH9p5kvo4tU2vtcjz8t7e3uDY9VmV3z9V9T1HpD7VOZJyrmubjmean2nO9cyDVJf2\n",
       "Wdrbu9yh96Xjq1LsaLm7l5TbNbZS3jo/P7fl7e/TtdO1NE+l9djFj8bGou9HtM9dfSl2dN/Z84yr\n",
       "7xxU7/uuNAfdeqB9tmgs6f5b92c919I+dXWl+rQPFn0H1fMM0/ustsgeVvfLqY/Ts7fel9uP977P\n",
       "SDkz1deOadrznJ2d2XK9z7Tndflb52fa06R8oLHorp32HdrnaS/g2qa5Pq3PaTx13+GeM9NzofZ5\n",
       "emZNe6geKRZTPLTSHNH5ndatnjmV+iRdK/V5b32tRfu4ne/pPnvfj6Tz3RjoeKa9QIoPzWtujva+\n",
       "I1ykbb179bSO6e9dH6fY+SO/lfB/IAMAAAAAAAAAAAAAqooPyAAAAAAAAAAAAACAZ3xABgAAAAAA\n",
       "AAAAAABUFR+QAQAAAAAAAAAAAADP+IAMAAAAAAAAAAAAAKiqqtFkMnlyJzw92eIajUb2WK2srMwt\n",
       "e3x87Krr4eHhd19rUZPJxJbf3t7OLVtdXR0cp/u4u7uz5cvLy4NjN2Zra2u2rvPz8zfXVZX7uB1T\n",
       "HV+Vxlvbfn19PffcpSX/30ZoW9J9jsdjW96O0aJ9pm2/ubmx57t+07aka/e23fVziludI6mP3X1q\n",
       "LKT5qXNwkfqurq5sXdruRfKS9neK8xQ7mjtc2y4uLmxd6+vrg+PLy0t7fhqD+/v7b3+n8WzPfY3m\n",
       "2FSfmwe9uWM2m735Wmkt0PFSOgYp1tyYar7tjfN0LZcf0loxnU4Hx2n83Rjo+KU5k9q2sbExOHb9\n",
       "luJQy7e2tuz5PfNd13qlfZrmq8tFGtdpbUixpGPg6tvb27N1abvTHinN53aM0nxNcatr5C+//GLP\n",
       "1/nf0jFI622KD42HdK89daU4dmuL5rwUS2dnZ7Zc+821LeXv3vW7py63H67Ka4Hm1O3t7bnnpjVP\n",
       "4zDN95Rb2nmQ1iG9D6Xj5+I27Xl0fi4631P8tFLsaD+kdcvlA82haTzTtbSf3Jj1tjud757NNRek\n",
       "3JBypM4DN0fT/NT7dPdR5eNDc+KnT59sXaltGreubWl8NO8cHh52XVulMWqluNbxTHnLleu1Ul0p\n",
       "52q5y10pR2qcprzW7pnSepvWKc2RaT/m9tB6rbSvSOOv13L1pfFU6XnZ7Tt7352mftD7dPM/XUv7\n",
       "NK2BKTZbaU6kXKM5suddmtKcl85Pcyo967WOjo5sufZ52vu7tp2eng6O9XlXpXVK2+Lyg3u+ee1a\n",
       "bg9bVXVycvLma6W4dXVVvZy/Lj5Sn/V+d+mpK8VlylOaO1x+TnXpGKS1Pq0tbT5Ic6B3r57eC6Rn\n",
       "iVba26f3Rq30vJToOpZyqlv3NK5795Wq5/k51dWz7lT5WNM5lWItrcfadjdHU+5QC32P+N2/BAAA\n",
       "AAAAAAAAAAD8f4UPyAAAAAAAAAAAAACAquIDMgAAAAAAAAAAAADgGR+QAQAAAAAAAAAAAABVxQdk\n",
       "AAAAAAAAAAAAAMAzPiADAAAAAAAAAAAAAKqKD8gAAAAAAAAAAAAAgGd8QAYAAAAAAAAAAAAAVFXV\n",
       "aGVl5cmdMJlMbAUPDw+D4+Xl5d/dmKenJ3usptOpLb+5uXnztVdWVmz53d3d4Hg8HtvztV9ao9Fo\n",
       "cLy6umrrurq6suWz2WxwfHt7a8937u/vbd1K+0W19+r6pKpqZ2fHll9cXAyOXaxdX1+/uV1VefzT\n",
       "PDg/P//299KS/+8y0ninayntl9bj46M97qVtd+PfO0dS29wY9d5XylNaX898TnWla7v5q7GR5l+K\n",
       "NW2bzv9Wyrear9OYpHnSlqe60lqh5Sk2Ly8v55bp+K2trdm6Um7pOXdjY8OWaz/99NNP9nyXc/U+\n",
       "U6yl+NDYcvPmu+++s3V9+PBhcPzlyxd7/uHh4dwynW9u7Kty3Oq+4+PHj3PPTXGr629aj9Pa3+aP\n",
       "dJ96H5ubm/Z8lzt0rNN9pH7R2HTz5vT01NbVs6ZV5VzU1tc7J1TaMym37+mZf1V5H6LXcvWlPtNY\n",
       "TOe7PbH+Ns3X1Mda3yL7EO3TtHa4+NA4TeOV9gI6p3rWQKV5KK1rKW+1Y5Tu4/j42Jbr2u/GoHdv\n",
       "l8YzxVqb91K+TTlSr5Vyrmubxlpvv6iePVQaz93dXVuu0rrXSs/evc+Z7p1EylNaV+pjlzt0rLe2\n",
       "tmxdibbt3bt3bz5XaR+lMfj69astb+M+jf33339vy09OTgbHaczcHNYxSHGe9go9727SHkdzS8pF\n",
       "7fxNuTyvAaRxAAAgAElEQVStBdqnqY975nOqK61rGpsullNu0H5Ke0U3Zjo+aQw0jlXP+7HUZ1pX\n",
       "WiPdfWqMpz1P2vuvr68Pjt19pj7VtqVn9RQf7T4n7Rt63/mmtcONkebj1Lb0rkX77Y/8hpDqcnso\n",
       "bXfqszSeGtfu2ilH6h44zSnXNo2dtM6kPk2/b6W9fO+zecrvbY5N7Uzfj7Qtve9HW73Pv2lOtWOU\n",
       "nhMSHe/e/VtL29L7rSPV5+Jcc73SvJbu0/Wr9lnKz+laqf5Wysc6R9L5rm38H8gAAAAAAAAAAAAA\n",
       "gKriAzIAAAAAAAAAAAAA4BkfkAEAAAAAAAAAAAAAVcUHZAAAAAAAAAAAAADAs9FsNrP/wnb6B5b1\n",
       "H3vv/ceg3bXSP/6d/jF35f7B9vQPqus/9p3apv8gt2tH6rP0D6rr79356R9613/sO/2j9Ck+2rak\n",
       "8Ur/oPrFxcXg2PVb+kfm9bdpPNfW1mx5O96prjTe2qfpXi4vL+eW6fxMdbm4rXrZ9kXmlN6ntlXd\n",
       "3d3NLdPx0VhR6Vp6n24epPmp5ena7lrap733oXS+u/hIsaFj0Nsvqs0XKQ+ltunv07Xd9dbX1wfH\n",
       "ab7f3NzY8tls9u3vReZ61cvx3t/ft+dfX1/PLfvnf/7nwbHed6+tra3BsZvPaZ3S8f773/9uz3dr\n",
       "i/bBly9fbF0pFo+Pj239rXfv3tm6tM//+te/2vPTGtr2+fn5uT1X87MbryqfazRuU95K+wrt093d\n",
       "3bnnao5L5W5Nq6o6Ozuz5e3v07VTblBpTXVt1zmT9mO//vqrLd/c3Bwcu3tNsaP3pblCuVjT2Grz\n",
       "62tSrOm13LzZ2NiwdR0cHHSd7/pU17C0dqS8pbHo5mjaD+v87J2Dqh2DRZ8Lte0ultL+Sfss5Y4U\n",
       "a22+7332VhofqT6dz66uNF5pHdJ+cmtkilsd7/fv39vzf/rpp7llmivSPvHk5MSWa30unlJu1z1R\n",
       "WofcM5DmitTHKX9r29x+POU8jR0XG1W539p7Ozw8tOcmmnvSHHQ0d6R+Sbno06dPg+M0Zs7PP/88\n",
       "OE55rR2jlH9dnql6GZvp2c71m+a8FOe9+1KXB9PeTu8r9bGLc+2zRd8pprWih95XurbT+y4lPbPq\n",
       "Xs49X6f5qfk47TvTGLXj3fuuW/W856nysah5Jb2TSHNO12s339N4p32JcnNK25H6LI2R/t61tXc9\n",
       "7t3ztjRuU11pPdb7dLF0enpq69LnwJSXeuI6xVLa2+meR9/7KNevmgvSGKT4aOfkIutK1cs9T2qb\n",
       "y+/62xRL6TlC2+biI71T1PU6rR0u7/XM9aoc1zrebu1IdWmf9X6PGrTL/hIAAAAAAAAAAAAA8H8G\n",
       "H5ABAAAAAAAAAAAAAFXFB2QAAAAAAAAAAAAAwDM+IAMAAAAAAAAAAAAAqooPyAAAAAAAAAAAAACA\n",
       "Z6PZbPZkTxiNbAV3d3eD4+l02nV+6/HxcXC8vLxs60r09w8PD3PPXVlZsXVpP7j7qKpaW1ubW6bt\n",
       "uL+/77q2Go/HXfX1uL6+tuVpjNq2p/u4ubmx5ZPJZHDsxnN1ddXWpbGWpPjoqe/pyU65F9dy91nl\n",
       "+1XjdGnJ/zcjqW1qfX19btnt7W1XXWlOubZr7Gis9F5L55Trl6urK1vXxsaGLVculnrzbZpTOk/c\n",
       "fNc+Udru1LYU120eW3Qt0Ng5Ozuz53/+/HlumfbZxcWFrWtra8uWn5+ff/v78vLSnjubzWy5jsHu\n",
       "7q49/927d3PL/vrXvw6ODw8PF2qb9tPm5ubcc9P81fmYYsnNUe2zdjxek3KHzjnXttRujZ1Pnz7Z\n",
       "89McbedBug/t49PTU3u+i12db25/VJVzquaWFJuO5ry0f0rlbb+lvJX2DWm97qlP9wlpj5TWb+03\n",
       "tw9J96njmdYtt6ZqHurNmUrvy41/2j9pn6Y4d2OksdU7nxO3F0h7+ZTXVGpb2w+LPHtVvew3N55p\n",
       "rutePa1baX1v4yPVlfaV29vbg+MU565tOj5pDFLbdX67vWLKBToGKW+5PY/uUdIeNl1Ln49OTk7m\n",
       "npviVtuWru3q03bs7Ox0XTtx+eHo6Mj+VvcwKdb29vZseZv/UyylfKzrcarPjUHvM2vaS+he3+0d\n",
       "euP6b3/7mz2/HaOUy9PaoeWpra68951iys+6HrjYTHs3zQ1pzXTzXX/bm3+Vtt2tHT1rd1VeU3vf\n",
       "zTkpd+i1XL+l/bI+4yw6n9t5sMi7saqX95nOd3NUnwPT/Ez9oPtztz6kdveuHT11pTjvzXtuHqQ5\n",
       "oOtKemfhnoG03Sk39O6JXd5KfdYzP99S3sZDms9pf61t631ebv3R34TaeZJiKX3b6H3f6cZA+2jR\n",
       "5yWdo6lfnJ41r8r3m45n7/Nw4mKtZ12pynPQtZ3/AxkAAAAAAAAAAAAAUFV8QAYAAAAAAAAAAAAA\n",
       "POMDMgAAAAAAAAAAAACgqviADAAAAAAAAAAAAAB4xgdkAAAAAAAAAAAAAEBVVY3W19ef3AmPj49d\n",
       "FS4vL9vypaX536wfHh66rnV3d2fL19fX33z+/f29rWt1dXVwnNrq+kHLbm5ubF2uz6qqRqPR4Fjb\n",
       "2nMt/e3Tkw2P2A9tv7p2VeVY0/t0155MJraulZWVwXGKpdQP7Zim8Uqxpv2g961cv2pdt7e3tq40\n",
       "npubm28+P92nSuPfM94pzsfj8dsbFqScp/eV2ubGe2NjY3Cc4jaNp7bNxXmqS8cgtS3lg55z0xzR\n",
       "tmgcq52dnTdf609/+pOta39/35a38+S3336z5x4cHNhyHaN3797Z83WNbGkeS318dXVly6fT6eDY\n",
       "jenu7q6tS+dQymunp6dzy/Q+U9wmOgZuPUh5SOdUWod6xiidq7GW+vjk5GRu2fv37+e24zVra2u2\n",
       "/Pz8fHDs7uXs7MzWpXsBdx9VuR/a+tIamNaO2Ww2OO7dIztpHUrzQGPX1ZfuU/OQ3rdy/ao5T/OO\n",
       "6t1fu9hN19JYOzw87Dq/dXR0NDhOcZn6VGPL1Xd9fW3r0vFMcZvGoI2t1McprrVPXe5I81djLeW1\n",
       "nuevlOtTjtQ+TW1zY6D94PYNVfk+tS1uHUzrlMZp6hfXNu1z3W+rtFZorLpnnMvLS1uX3leag67t\n",
       "mgv+6GfWlIscjY10bZcjq4ZrT4qlNOe0PO3fXN7T/W/vnkfpmG5vb//uunS/nJ7N2zFKfZzezej8\n",
       "TGuHu56OV+/7DaWx6NbU3nenac642Ey5QKW9QM8zUVpXtM/T+u326x8+fBgcX1xc2Lp6n5d65qvS\n",
       "MUh73jRP2vhZNG/peKb12+1LU+yotK7pOuXuJa0FqR9Uz7vTdO00RjoGrr7eZ5Led5CuHenave/x\n",
       "Xe5I19L5mJ5JUz+0uSddO63teq2U73vyd4qlpM3JaV1J+w61yPvr3j7rHSN3r6kf9FopltxaoXvS\n",
       "Rb+j9eSOnnXlLVx9/B/IAAAAAAAAAAAAAICq4gMyAAAAAAAAAAAAAOAZH5ABAAAAAAAAAAAAAFXF\n",
       "B2QAAAAAAAAAAAAAwDM+IAMAAAAAAAAAAAAAqqpqNJvNntwJy8vLtoK7u7u+C45Gc8seHx8Hx7PZ\n",
       "zNb18PBgy7U+Pe6xuro6ON7c3LTnHx8f/+66e2k/PD3ZIbWWlob/TcF4PLbnX1xc2PLpdPrt75WV\n",
       "FXvu7e2tLdfxc7GZrnV5eTk43tjYsOefn5/b8vZ6KTZubm5s+f39/eBY26rc9bQuPVZpvLXtLnZT\n",
       "HGouSP3SxlJql8szb2mb9oPLc2n+6vx091Hlx0jLUn5O/aDli9yn9qnmkl7tfF8kNl77/f7+vj3/\n",
       "H/7hH+aW7e7uDo5//PFHW1dad46Ojr79/euvv9pzU47UvJfiw+UOrSut9WmMNNa2t7fnnnt9fW3r\n",
       "mkwmg+OUI9080D5Nc+bq6sqWa9y7tSiNZ+/eIOXv9npnZ2f23PX19cFxWuvTtee14zWpjzV2XLyk\n",
       "tbsnB1blfmjbktaZtB5r7KR4cLlG16F0H2lPpNy8SbGheSrt7V1e07UgjUHqU80tbsxS7Oh4pral\n",
       "MWqldUZzptI55MYsjY/O77QfTzm3vV7vfktpXLtck+aA5vq03qZ1qu2ntJ6mPtV+SPHh9lC6T1g0\n",
       "f6d+6jlX51DqFzdH9Z1Duo+1tTVbru8B3BxM46P9sMj7DI3b3vc4qmcNTeOp+5KtrS17flpb2jmX\n",
       "1tuUhzRHpmccN6e0LM2p9D5M56ibB+/evbN16bqT5tTp6em3v9P49ubvFOcup+reLz1XpLUjzfdW\n",
       "ikuN8/TeyLVd59siObCqL9f07mHTnHHrnsZOug99hlHa9kXef2hdKZekfmhjMc2BlBs0t6R54PpN\n",
       "7zPdR1pDe95ZpFjTvUDav7n9tebnNAYpPvRaLj+kvZ9K779cXtP7SnGbxkBzpLt2uk+Nrd7zXXnK\n",
       "kakunXNp7XDX07yzyJpXNYytNF6pvJd7ptU+Smtk7zcjF7vp+VfnZxr/nmulvV2KHe1TlyN73zml\n",
       "+3RjwP+BDAAAAAAAAAAAAACoKj4gAwAAAAAAAAAAAACe8QEZAAAAAAAAAAAAAFBVfEAGAAAAAAAA\n",
       "AAAAADzjAzIAAAAAAAAAAAAAoKr4gAwAAAAAAAAAAAAAeMYHZAAAAAAAAAAAAABAVVWNxuPxkzth\n",
       "eXnZVqDlj4+P9vyHh4e5ZSsrK4PjpyfbtNg2vdbS0vzv5elaq6urg+PJZGLPv76+/t3XUuk+tb7R\n",
       "aDT33DQ+d3d3b66rqmo8Hr+5bW7s33Kt3n5ztC1pPFN522/39/f2XI0lV1dVHrObm5u5ZWtra4Pj\n",
       "1IfpWsqNaapL25biXPulpX2guUT1jtEisad9lOLcxcft7e3geDqd2rr0fKU50d1nb75N9+nysf5+\n",
       "a2vLnvv582dbvr+/Pzje3d1987XV3t7e4Pi3336zdaX7/Pnnn7/9ncZrZ2fHls9ms8FxGgO3Th0e\n",
       "Hg6OU/7++PGjLVeuX9bX1+1vT05Ouq7l5tT5+fng+PLy0taV5oFe6+rqKrRuvu3t7cFxWofSGLVt\n",
       "6Tm3qm++pjKNLaVzLLXN5cGLiwtbl64r6T5PT09teSvFUrKxsTE4dmt9lZ8XOqdSXKZYS7mqldZP\n",
       "XY817pXLW1qW9qiurte4tqU5pWPg9jRVfp+i+6ckrQXK9VuKQ5ViLeXUdj+X1obePY/bp6bYSfsS\n",
       "lfadbbmu5aonD1Xl5w7Xb5rH0r6zd6/o8kPK3zof03x296lz5OjoyNaVcqTGmpvvad3ROE1x7sZA\n",
       "y9LzUqKx6sYsxYbmtbSG9uSidJ9pPHWvmMbMzeGUW1TK3zoPXK5JzxGaK9J9trGY2pnGq/cdlFtz\n",
       "/+M//mNwnPYhKa9puVvXUqzp+Kc+dvXpnDo7O7N1pX2H5lDXtjRndL1O4+nW495nkrR26Px0fZz6\n",
       "rHd/ld6PteUpLtP+Su+rt60t7YfNzU17flpDtW0ub6U5pTkwrR0979pSH6dY1DF0eat3fBZ5t673\n",
       "mfaJi7y/XFSaM2nv17Z90e8RWp6eBVx8pLb01FU13KekfUbaR+qamdbQnvdAi6ztVS/jYZH39Nqn\n",
       "KY5drGldac+bngs177m1KPWB9mnKqW6M+D+QAQAAAAAAAAAAAABVxQdkAAAAAAAAAAAAAMAzPiAD\n",
       "AAAAAAAAAAAAAKqKD8gAAAAAAAAAAAAAgGd8QAYAAAAAAAAAAAAAVFXVaDweP7kTlpeXbQWPj4+D\n",
       "46Ul/016ZWVlbtnT05M9Vvf397ZcaVtbq6urf1hdqT7tg3QfqR9Go9Hg2I1Zupa2++bmxp6fxrst\n",
       "f3h4sOemPtVruT5Ocat1pWtPJhNbfn19/e3vdJ9pDMbj8eA4jcF0Op1bdnFxMTheW1uzdV1dXXVd\n",
       "y/WzxqVq+6wqj4HLHfrbdO0UtzpG7j7T/NQ4TePvyvU+t7a2bF29OXRjY2Puuefn57auu7u7wfFs\n",
       "NrPnp1hcX1//9vfm5qY9N825f/mXfxkcp3zv4kfLNI7V8fGxLW/7Ic2Btk9eo31+dHRkz3fX09yR\n",
       "cmAaA237wcHB3HO3t7dtXdoWlxuq/Bhpu1OcuzlSVXV2djY4drGbxlvz8c7Ojj3/9vbWln/9+vXb\n",
       "32mN1Pmccqazt7c3ONbYUmnOaJ/2xPGiUj+06/fh4aE9N63tOp4pXk5OTuaWaa53+4aqPJ+Vqy/l\n",
       "+p66qvr2AmlPo/stpfPEzbE0Plqe1g53n9qONPdTjtR+cG3rzR163FtfO9/Tfaa1/fT0dHDs9ikp\n",
       "djQPpf1Wmu/tupb2iWl+9sRtlZ9zeq00P1M/aDy4/Va6lsZt2vu7WNO1Iu1D0try4cOHwbHuDVop\n",
       "d3z8+HFw7HJ9lZ/vusdZ9HlJx9PFZppT2pbe9zyq/X3KgWlO6X2mvOXiR+dj2tunfuh5F5dypM65\n",
       "lDvaa6Xx7d3zpNhzsau5Ia31Pe+zqnw/pmdzbXfql8vLy7lluqalWEr0Wi6fpz2Mzqk0B92c0t+m\n",
       "Pkv+yPo0ttJ9pvnc5pqUl9J6q23r3du3Us5TKT70edrlj973uilvufrSnlWlfYr2g8tbvfuOtH67\n",
       "ftA+W3SN1La4fU2aA9oPLgdW9a0Vaa4v8o3nNa5t+ny86DehdgzT+6wUO3qfbg9b1bfvSH3c+4zT\n",
       "830xSbHk2q65Y5FvG1Uv48HFXoodHe/Ux66c/wMZAAAAAAAAAAAAAFBVfEAGAAAAAAAAAAAAADzj\n",
       "AzIAAAAAAAAAAAAAoKr4gAwAAAAAAAAAAAAAeMYHZAAAAAAAAAAAAABAVVWNptPp0x9Z4ePjoy2f\n",
       "Tqdzyx4eHrrqGo1Gtnx5eXlwvLKyMvfcm5sbW9fT07CbJpOJPd/Vp+1O96H9orQtV1dXc88dj8e2\n",
       "rtTnanV19c31aR+qdJ/adlff7e2trUv7rPe+XX0ad+ri4sKWp3hQbk7ptVLdbo5UvRyjpaX5/w1K\n",
       "6lOty93Ha+e3NBbSGCRan+uX+/v7rrpSv7hr6Xy7u7uzdaW2zWazwfH+/v7ccy8vL21dOj/TfP78\n",
       "+bMtb+fw2dmZPffTp0+2/N27d4Pj7e1te76jbfntt9/s+SkW235z86kqzxGd32nMXKx9/PhxcPz3\n",
       "v//d1tUba+5eT09Pu+pKOdWtFdqOND/X1tZsua49bo6m9XNzc3Nw/OXLl65rOyk21tfXB8cp9ly5\n",
       "7ofSOnN9fW3Le9ahtFfTPlt0L9DOg5SfU27QvVzqN9cP+tu0H0vl5+fng2N3L2l+6nxOca7nt1Kf\n",
       "q7ROaXy4PdTGxoatq3cv4O6lN2+lch0/nf+tND9725aev9o5nK6d8pSuU+55aWtry9alsZP21z3P\n",
       "X6mutN7q+KUx0Pnc0j5y868qzykdQ9cvaY3U+Znylmu7tjuNVxqjnvme1gLN32k8e/a4qc/cHKl6\n",
       "2aeubWmP2/t+JK2J7drz9etXe27v/jvtt1K/9lw75T2dJz3PkUlaU9s+7n2HoHTO9e6RWxq3aY7p\n",
       "c2Kqzz0LpLHX8V5kr6h1pbhM+VvXDncv6T71vk5OTuz5rlz3CSmWUuxo29zeIfXZ4eHh4DitHWm8\n",
       "23tLcyqNt/ZTeiZyuUjbne4zjVFPjkz0vhbZK+p+yO2Hq3J8aOy6/VtaC/R5qjeftzS2emMp6Xkm\n",
       "VdqnKVbSO402dnu+XbxGxzONv9tD7ezsDI5Tbkhzrp0H6dkq7e16n+X0Xlq6/1p0r6B7QzeneveR\n",
       "i74faaX5nJ7ltB9cv6U+0/FLbbPvTu0vAQAAAAAAAAAAAAD/Z/ABGQAAAAAAAAAAAABQVXxABgAA\n",
       "AAAAAAAAAAA84wMyAAAAAAAAAAAAAKCq+IAMAAAAAAAAAAAAAHg2mkwmT/aE0chW8PDwMDgej8f+\n",
       "gqa++/v7wfHy8rKt6+nJNr0mk8ng+Pr6eu65qd2Pj4+2fNHzndQPt7e3g+PV1dW556Z2abn2YW99\n",
       "Kysrtrzlxqfq5X1pvLTSeKrUx6m8nQepT9J9rq2tdZ3vpDnSS/vV1e/G57Xfplzj4jpdS6W41vp0\n",
       "jrVSbOh9pTFx9S0tDf+bnxRr6T41fy8ynu/evbPHKvXb0dHRt7/TfP706ZMt39jYGBy7WKryeUv7\n",
       "4eDgwNaVxuDu7u7Vv3vbVVU1nU5tudJ4amncpvnp5kjVy1h1sZbG5/z8vKttFxcXc8u2tra66rq5\n",
       "ubHlPXuiNAe0H758+WLPd+PZe22l61JPfToHjo+PbV29+zF332lO6bVOTk7s+bPZzJa3/ZDmRGqb\n",
       "SuPr1gNty08//WTrSnGu/ebWh9Rneq00/1N5K623aQ3Vtrn8kOaI7uXS2rC3tze3TGNnc3PT1qVr\n",
       "YOL6uF2bX6N92ptrVNtvl5eX9tw0f3X83H2ma+nakfJzio/19fU3X7tnX1GV9w47Oztzy3RfkfJQ\n",
       "uk9dI12u0XNT23RvoFzO1X1C6rN0Lc2J29vbv7sujYeUA3uegdMzZsqhPddKsaGxkNaOtOf98OHD\n",
       "t7/Tepv6Qff6i6zvve+70r5UufzQuyfqeZ+VYiWNp873FC/uXnT+pryV1sizs7PBsbvXlJ+1H1Ku\n",
       "cfNd+2zR91l6X25tSHNf51TaO7gx0jhM8++XX36x5Zrv2/W3p11VL+dnmmNpDNq2LfpMqtdKa8cf\n",
       "+f469Zu2zeXg1G69VhoDFz+9705785Rrm4vDqpfx0Ptev6X9n/Zbab73PC+lPta2pLal+Gh/v+g3\n",
       "H42dNEddud5XmjM97y/Tniatx7ouuXdpVX6M0vip3vcd7vy0Hut49ub71h/9XqfnWS7FbW+suTHj\n",
       "/0AGAAAAAAAAAAAAAFQVH5ABAAAAAAAAAAAAAM/4gAwAAAAAAAAAAAAAqCo+IAMAAAAAAAAAAAAA\n",
       "nvEBGQAAAAAAAAAAAABQVXxABgAAAAAAAAAAAAA84wMyAAAAAAAAAAAAAKCqqkaTyeTJnbCysmIr\n",
       "eHx87Lrgw8PD3LLJZDI4vrm5sXXNZjNbfnt7Ozi+v7+fe+50OrV16W9Ho5E931ldXR0c393d2fNT\n",
       "266urn73tdXT0zAc0vi7Pq0ajmk6N8WSjufy8rI939F+SG1L12r7Sfuw19LS8L/rSOOr57d0vqXx\n",
       "T/2g96ZztpXmr86hNKd6xjvdR+oHjUUXm67/31K3cnlNf5vm58XFxdsbVlUbGxtzy1KfaR4bj8f2\n",
       "/MvLS1v+4cOHb3/v7OzYc7///vuua+3u7trzNde0Tk9PB8cpLl1dVcM5lOZAygV7e3uD4/Pzc3v+\n",
       "2tra3LJff/11cJzGP11LY9ete1tbW7Yu/W1aI90Y6BxKsZbGSPvB9XGan5q/Uyy5/VXVcAzSeGpe\n",
       "S/ftrt07XulaGks6J1tpLdB1KrUt9XE7RmltcLFR9bLfUq5xOfXs7GxwnPJzuk+NXbcXSP2g95XO\n",
       "d7nj+vp6cJzWyN79t5uDaU5tbm4OjlOec/GhfZbGK80D7adF9rEnJyeD448fP9rz016gbVsar7QO\n",
       "6bXc+Wk8dR9xcHBgz3dzpGqY99K5Op+Vjuef/vQne76LH823KTZSDtUxdHvetEZqW1J8uPmr7U73\n",
       "meaU7tc0N7lrK72v4+Nje77mmpb2QcqRaT3WctdvKbfreKd1yvVpVdX6+vq3vz9//mzPTdfS+9I8\n",
       "p1y/abvTXuDr16+2XOevm89pH6ntTu/a2thMdbfj8Zrefad7ntb5l+ZzGn+dU65taT3W+Z7WLTcG\n",
       "vXuB/f39rra5fnPvDKpexsN3331nz3d7eX02S/sGV9dr5b/88svcc9P81DhM77/SPOnZ86Tx1vFL\n",
       "zxGu7T3vAKvyGPTM9zQ/tU/TmLn1W8czXTvNX+1zl7dSu/U+096hZzzTXqCXu880BzTfpvne85yZ\n",
       "5lSqq/d7hMuhvc9aaYzaOZnuI+1hNe7T++uevV/au6Uc2vPMmtqtOTTN9569XcqRvfnb3Wfvt8nU\n",
       "L64+/g9kAAAAAAAAAAAAAEBV8QEZAAAAAAAAAAAAAPCMD8gAAAAAAAAAAAAAgKriAzIAAAAAAAAA\n",
       "AAAA4BkfkAEAAAAAAAAAAAAAVVU1Go/HT/aE0chWsLQ0/Ab99GSrq8fHx7llq6ur9rdqeXnZlt/e\n",
       "3g6Ox+Px3HPv7+9tXXqfyWQymVumfXBzc/O766qqur6+fnO70vjotdJ9p35rxzRdO9X18PAwOF5Z\n",
       "WZl77nQ67bqWxoq6u7uz5S62VJpT2paNjQ17/uXl5dwy7fM0ninWUqwucq00Bi5+NHecn5/bulKf\n",
       "6n2ur6/PPTfF7dXVVde119bW5pZp7ri4uLB1pZyaxrvn3NPT08Hx5uamPX9ra8uWb29vv/r3a1Ju\n",
       "0fI0Zi6nal2al1TKDW196dw0/zS2NPaUy0W9a17qB12vT05O5p7rcnvVy/md2ur6Qft8NpvZulKs\n",
       "6fx1Y5rmr45PalvPGppyg157kTVS+yTFZcrfyuVnzUtK51Ra69O+sx2DlOvPzs66rrVInOt9pfFM\n",
       "uUh/7+pLcdv7HOH2PFpXWmfStXQeuJy5v79v69LxcWt9lV9zdXzSnHr37p0t1z5199m770hrQ9oT\n",
       "t/Mgzc+U13766afBscs1Ozs7ti6N+dS2tH6395mu7XJe1ct+SPPd5Zbe+ZloXnP7rdQPGospR7ox\n",
       "0D1rqsvtYV67lnsuTeOj10o51cV1mm8qxa3Gopvv6dqax1KspfnePjOl9TjFmsbH0dGRPd/lb+2j\n",
       "1C9pPdZ+c/GR1gotT+9T2thN45HWArXIs5r+tmedec133303OE57S0fnTIpNl2v0t2l9dvunqpfP\n",
       "22mf4rx//77rfDdn9L5Su9J4a3y4XJPiVnNBituDgwNb3q49KS5TXTreaV1z5dpH6T1Pej+t5W7M\n",
       "Uj9oedqPufcMuh4vmp+VW5/T+y5tW+oXF9f6TjHFbXoPqPW589O+ordtaQzaMUxzIO079Nk91dfz\n",
       "fNybt1S7HqS1Pu0je+eBi0Vtd+98VuneWml/rddy3yqrfHzofinVlWgeW7S+VnrX6nIo/wcyAAAA\n",
       "AIdwGk0AACAASURBVAAAAAAAAKCq+IAMAAAAAAAAAAAAAHjGB2QAAAAAAAAAAAAAQFXxARkAAAAA\n",
       "AAAAAAAA8IwPyAAAAAAAAAAAAACAqqoaTSaTJ3fC8vKyreDh4WFwPB6Pu853v72+vrZ1LS3579+P\n",
       "j49vbtvTk+2Gur+/HxxPJhN7vrtPLRuNRraudK3b29s3XzuN58bGxuD45ubGnp/G+/z83Ja30nhq\n",
       "21O/OTreOr5qZWXFlrdjdHFxYc9NfdYba5eXl3PLVldXB8caK+l8pWPk4iONZ++17+7u3nwtnfsq\n",
       "zXcdb9e2dC1tW4ql9+/fzy3T2Njf37d1uT6renlfLnZTLtjZ2Rkcu/t4S33tvWpeUtPp1JbrWpLm\n",
       "aJpzrRTnKbesr6+/ua7NzU1brrkl1Xd1dTW37PDwcHCc+vjs7MyW65xbW1t787WV++1rTk9P55Zp\n",
       "/kxzJl374OBgcOzWqZQLtM/S+p3itmfN1HNTv7g41zhcdM9zcnIyOHb7DD1XvXv3bnDczsfXfPr0\n",
       "yZa3czTtYdOc0bYfHx/b812/6dqfckPau/XEx2w2s3VpP6U55va42o4USymu9VouB//www9ddfXu\n",
       "eVs639I+xPXZa7938znlIc1raQ1M+aDNg+naKdZ0zrm2pX2Crp/pPlM++PHHH7/9nfaoaS+guSPt\n",
       "odxzhLYl1ZViUfvJ9Vt6LtC4TvPZ5QPtM10bVHqe0mu58U97AY3bo6Mje37ar7Xc2FflMUhx30px\n",
       "rbGTzk9ta/NF6uMUtx8+fOi6tmu75rGUG1Le01h0+5i0Fuh4pvzcXjvVneJS83eaY64+nSNpb5f2\n",
       "inpvLp5SjtS1I70Xcutaz9hX5T2RPn+58U9xqW1Jc9Cta9qnaZ+YniO1H9x8Tu8rdAxSbujJqSk3\n",
       "6DOn0n748uWLPd/dq7Y77WFT7tBc0/PuXOkcce83qnzbtd3pPtLaobHWs2Yq/e0i65quUWn/nPKx\n",
       "7r9cfakPet/T97yLTfk55WN9NkjPyy5P6vilPU+aB22spvvola7tYlHva9H9mEp7f0fnd8q5Ln/3\n",
       "5o7e74+uvp7YeMu1XY7k/0AGAAAAAAAAAAAAAFQVH5ABAAAAAAAAAAAAAM/4gAwAAAAAAAAAAAAA\n",
       "qCo+IAMAAAAAAAAAAAAAnvEBGQAAAAAAAAAAAABQVVWjnZ2dJ3fC5eWlrWBpafgNejQa/e7G3N/f\n",
       "D44nk4k9//b21pZr25aXl+ee68pek+7TlT8+Pg6On57sELy4j3Qt1y8rKyu2rpubm8Fx6peeflv0\n",
       "PvW+3PnpPnuvfXd3Z8tXV1e//T2dTu25aU5p23Ve9LRN70tjL52f2ubiPPWZGo/HtrznPheNW+0n\n",
       "F09XV1e2Ls1js9nMnr+/vz+3bHt7e3Cc8lC6Vhu3qb40f7XPzs/P7fmp7W2fX19f23M3NjZseZqT\n",
       "an19fW6Z9kOquye3pDUvzSnt03Tto6OjN18rjX+iec+17eDgwNal45PmsxtPbVeKtTRGOqdcvj85\n",
       "ObF1ae6/uLjourZq52iKDe3TnrqTtKalct2nuLalvcCnT58Gx3t7e/b8VF8bP2mtT/ep4532vKen\n",
       "p3PL1tbWBsfHx8e2rnSth4eHwbFbv1Pe0t9q3enarc3Nza5rp/n+/fffD453dnbmnpvWgjR/Vc96\n",
       "nNbTlLd0LXA5M80BjesUSyl3tPWlPU3Ka3ott3/TPKM0ttI+xK23VcNclPpE57PSuE7rt5tTGluL\n",
       "7ju/fv06OHY5t3fPk2LN5dye/XCVnyOvtcXFZhpvXUtSLKW1p5X2T2k8dd3RHNxKex6N09THqW3t\n",
       "PEhzJq072raUa1zO1T5Pe4HUdm2LmzdpLdD1ON1n2y8pltJ6q/2Q9p1pzFqLrkM97z9Su7Ut6T1C\n",
       "Wltavc8oSuPcjWlaV3S8Ux+79x/ajpSf03h//PhxcOxyZno/pXGY3n/0vL9OuT6Nt/rll19seZqj\n",
       "rRRLac+reyy3v05rh8ZWGjM3BhpraS+Y1qn0+1bve9r03OHuU/soxWXaj+l67PJDWvN0fqdck+pr\n",
       "+633OWFRf+T+OpW3/ZRyQ5rrGluLvAfS8Ut9nOJac6yb7z374aoca64f0hxSKRaVi/Peb5mLzCn+\n",
       "D2QAAAAAAAAAAAAAQFXxARkAAAAAAAAAAAAA8IwPyAAAAAAAAAAAAACAquIDMgAAAAAAAAAAAADg\n",
       "2Wg6ndp/Qbn3H2RO/4i5bYz8w+DpH5Z2/yj5a/Wlf/zb0ftaWVmx57t/mFr/Efr0D4Un2k+u39L4\n",
       "aJ+mf2A7/SPobT+lf1g8xdpsNhscu/pS7Gh5aluqb3t7+9vfh4eH9tw03r2x5vSOZ299rm2pz1Ls\n",
       "9Jyvcz3dZyrX+7q5uZl7bopb7YeUh/785z/PLdvb2xscb21t2bqur69tucaa6+PJZGLrOjo6enNd\n",
       "byn/05/+9O3v1MepXPs8zfe1tbW5ZZq/Nzc3bV1pDNoxTOem2NE+HY/Hv7ttl5eXg+O03qYx0Dnk\n",
       "1qKrq6uuunRMlLuW5g49VmmMdJ1yuSblIZ3vqV/Ozs5s+fn5+be/e/dqqY83Njbmlul8u7i4sHXt\n",
       "7OzYco1zdy/Hx8e2rp59RVWe7+3akWIljafGYppjbj3W8XNrWlX//tpJ1+rZw6Zy7aPUZ7u7u7Z8\n",
       "fX19cOzuW2NJ6RqZ1tSe9bg3zpX2k5tTKRfoOpX2sD31pTmVYkdzrovztFfXuNY1U6V+aHPLos+/\n",
       "msd6n+WdRZ6lq17GtasvrZGpz5UbA83H6T5TDtT7dGOaYkOvdXJyYs//8uXL3DKNnRTnvbHo+iXF\n",
       "be9zYU8sLvIsXfUy56Z+cfm999k89Zvu9d1+LO399L7Sc0Rr0Vyv45/2gu2eVml+Tnu31C86nu7a\n",
       "ab1Ne3XVs06lMUhxq79395Led2ns9M7vlj6Xp/2zmwNVL9vm4rx9x/ea3vtK86B9Rvr111/tub1r\n",
       "YLq2izXNU6enp7+7rte4fUqan7rupGc5t3botdJan/o05YNW6jPNa/qMks5v9b7/SLlF+83N0d7n\n",
       "n0XX7zZ2Ux+n9VjHM8Wme27R+0p79ZRr2lhMa3ca7561v8r3q/aBe8/6lmtrfe7aKRfoWpGeM921\n",
       "NBZSLKU9bE8OTWt7Lxdr/B/IAAAAAAAAAAAAAICq4gMyAAAAAAAAAAAAAOAZH5ABAAAAAAAAAAAA\n",
       "AFXFB2QAAAAAAAAAAAAAwDM+IAMAAAAAAAAAAAAAqooPyAAAAAAAAAAAAACAZ3xABgAAAAAAAAAA\n",
       "AABUFR+QAQAAAAAAAAAAAADPRuPx+MmeMBrZCh4eHgbHS0v+m/Ty8vKbr/X0ZJtWq6urtvzx8XFw\n",
       "rG19a7teK9e61f39/dwy7aPxeGzrurm5seWTyeTN107jqddKbUv1tWOY6rq7u7PlOn7ufO0T1663\n",
       "nH91dWXL29+nuE336ep+TbpeK8VtomPgxt/FYdXL+Xt7e2vPd3P0j6yr6uUc7clbqa7Pnz/b8//x\n",
       "H/9xbpnGwm+//Wbr+vr1qy3XfnL3kvKt9tHOzo49P8Xt+vr6t7+3t7ftuZeXl7Z8Op0OjtOccuOt\n",
       "eWxlZcXW1d7Ha9qcq+3sdX19PThOc9CtLZrz0tqexlP73OWi09NTW5e2LfWby9+pj1SaUxoPZ2dn\n",
       "c89Na7uuFbu7u/b8tMa2bUt5S/tMY0u5+NA+dnuxqtwvGh/u2ilvaZ+lNTLN97W1tTe1qyrnIR3/\n",
       "NAZuDs5ms8Hx3//+d1tXmhfaD4uskXpfqd/Oz8/nln369Knr2il36Bjt7+/PPTflQG13iiVHr+X6\n",
       "pCqvxzrf3Xim2OjdZ6b53o5ROjfNd93zuPPTfeoY9OxpXtPGQ8qRqW063xfZ++tvtW6V9mMaa66+\n",
       "dJ86v9Pe3s0T7fPNzU1bV8pTmtfcmKZcoH2U5ru7lv42jVfv+xG3TvW+11l039lKcyqtFVr+/fff\n",
       "2/Pd+q5tSWPg9pGvtc3FU4o17dM0D9q8lvJM7xrZu261dP+06Pusk5OTN5+fnln1PlPb3D5FY2dr\n",
       "a6vr2krnoMvBab1VKZc42qcpN6T3QBcXF4Njlx/Ss5eOT5pjad/Ztj31cVqPdY4cHBzY8//t3/5t\n",
       "btnGxsbgOD2T6JxRmg/cPOjdd6Txd7lIc3fKDSnv6e9d7Ka1QOMhvZ928dO7t0v9oNy7nHQtHZ/e\n",
       "PlZt7kk5MOVvvVZ6r+9yqJaltSDlvbYt6dy0v9Z8nfYCLna1z9L7j962u/ydcoGWp/zs8p7Ot0W/\n",
       "Zeq13Dzo3dstktf4P5ABAAAAAAAAAAAAAFXFB2QAAAAAAAAAAAAAwDM+IAMAAAAAAAAAAAAAqooP\n",
       "yAAAAAAAAAAAAACAZ3xABgAAAAAAAAAAAABUVdVoOp0+uRMeHx9tBaurq30XHI3mlj08PAyOl5b8\n",
       "9209Xz09DW/N1Zfu4+7ubnA8m83s+Tc3N3PLtA8mk0nXtZX2g+vjVNd0On1zXVU5Pu7v7215a2Vl\n",
       "xZbrfboxS7Gh5RsbG/b86+trWz4ej7/9nfokxc7V1dXgWONYuXvV2Do9PbV1pTmnbb+9vZ17bood\n",
       "Ldf7Vuvr63PLNM5SLKUx0n5w82Z3d9fWtby8PDj+85//bM/f2dmZW6bt/vLli63r6OjIlmt8uFyU\n",
       "4nBtbW1wrPedru3K0/zc2tqy5Rq3mueUm+8a8+naKQdeXFx8+9vFeFXV5eWlLde4Pz8/t+envNba\n",
       "3Ny05Sk+dE10+SHVpeVpPrv5q+OTrn1ycmLLNR+7tqU5oOOdrp3io81rKUdqebvGvcatQ/v7+4Pj\n",
       "NCdS3jo7Oxscu3WrN9drHuutrx3TNB69fer2lW9pWyu1Le0Vtdz1m46X2t7eHhy3OfE1aYxaaR36\n",
       "/PmzLdf4cDkzzSnNealtLq578kxVHk/NRW4OpjVPr5X6Je392uulvb3bk1b1j4Gja0W6j7SPaedk\n",
       "2qOk+9Q+T3OmZy+f1q3e9dv1W3qO0DmSrt3zfJzqSmOgseVybppT+ryb4sM96x0cHAyO03qb4lZz\n",
       "j1vXeted3mdS1fbbou8zVMpFPe+c0tqe8pSuS65t6Tkj5WvVxuLHjx/tuWn8NRccHx/b8/f29uaW\n",
       "6T4z9WHal+p8X+QZRse/53lY6dj37t2UvtNwcdzzzPGWa+tesKV9umgca33u/DQ++myW1tuU19pY\n",
       "THmrV9pf//zzz3PLdC+f4jxdS9c91y/pfYbGbYpNR/Nnyg1pPJXbO6RY0zhNc8rFtf6293k51afP\n",
       "/i3dh6RrpftM+b1nXUvX0n7qXTNbf/Q61eaedB8pt6T5rdzeT++r952h0nmyyHsgLU+5xs3R3u+F\n",
       "vddy/da7J03PMK5P+T+QAQAAAAAAAAAAAABVxQdkAAAAAAAAAAAAAMAzPiADAAAAAAAAAAAAAKqK\n",
       "D8gAAAAAAAAAAAAAgGd8QAYAAAAAAAAAAAAAVFXVaDqdPtkTRiNbwePj4+B4MpnY8+/u7t7YtKqV\n",
       "lZWFym9vbwfHq6urc8+9v7+3dS0tDb+1Pz3ZbqvpdDq37PLycnC8vLxs60r0vq6vr998rkr9oNx9\n",
       "Vg3vNY3Xw8ND17XH4/HcsnQfOn46vr3a662vr9tzr66ubLnGQzp/Y2NjblnPfKvKca1j6NqWxltz\n",
       "h7uPqqqLi4u5ZRqHqc9SnprNZm+ub3d319albUtx/vnz57ll+tuUn3vngRt/zVtKx0/7UKXyd+/e\n",
       "ffv748eP9tx0n1qezr+5uZlbpuOZ5kzKuScnJ28+N7Vb59T5+bk939HYStdO65j2W08fK80tBwcH\n",
       "9nwXa1qX9qFy7X6t3PVb777jt99+s+f35HvdHykd/83NTXu+W4/1WilvpVyj/eZyappTvXuBnj52\n",
       "a1ZVjvOtra3BsdvbVfl40jhPcZzG6OjoaHCc+tnRPk1z0JXr2p7Wjh9++MGWn52dDY5dv6Tx0T5K\n",
       "seTKdaxTLKVyXSvSGDg6h1JdKXba/LG2tmbPTftOHSOXO9KapnnK5cC3lLfrVJqfqc80dtK9uD2x\n",
       "xlqK85Q7dAzdPiXFrbYt7Ss1b7U036bniN49kVtzU9zqeKdYcnsijVvXJ29pm96nm6PpWpqve/e8\n",
       "qp0H6T7StbTPU30ufnr2iVX5mVVjy8Vaip337993Xbudc+n5Nj3nHx8fD47TXtDlQe3jlEvS2qJ9\n",
       "6t71pH7Q2En7cddvOp6pzxLdE7u2pXVFxyeta24+a58u+uyt/eaecXr3yyk3pGfzNm+l+Zdy4OHh\n",
       "4eA4jdnXr1/nlukYpGun9Vjvzd1rev7tfc/j5pTOofReV/OWSs/PrfTcqPvrRd4b6RxKe7c05zSH\n",
       "ujUwrQWad9J+LK1rbdvTuYn2wyLrlM7HNP5pjFLuaaX52/t9ysWHrr+pnfrsrfT3ro/TfWpsLbK2\n",
       "aI5Mfdj7nca9o0rt1rakfYrLHfwfyAAAAAAAAAAAAACAquIDMgAAAAAAAAAAAADgGR+QAQAAAAAA\n",
       "AAAAAABVxQdkAAAAAAAAAAAAAMAzPiADAAAAAAAAAAAAAKqqajSZTJ7cCcvLy7aC+/v7wfHKysri\n",
       "rXo2Go26rp1+79qWrvXw8PDmuqqqlpbmf5u/uroaHM9mM1tXuk+9lruX3j5L3H1qufahur6+tuXa\n",
       "56urq7+7Xbe3t4PjyWRiz09tb9uWrp3G4ObmZnDcOyYtbYvWrdbX1225jtEic0p/q2OiXL/qb6fT\n",
       "qa1L56BaW1sbHN/d3dnznc3NzcFxio8ffvhhbpnm43QfKda03/S+WxsbG7Yu7fN3797Z89Ocaufk\n",
       "eDy257pcUPXyPhdZp7TP07UvLy9teTumaTxT7Jyfnw+O0zy4uLiYW6b3le4zlZ+enr75/JSHHh8f\n",
       "B8cpPhztg3QfaU/09DTcUrnxT3F4dnY2OE5rpPaLaudcb35OucT1i8Z1ug+9b6Vt1xzbQ+8rzRmN\n",
       "Y9Xm0NRnKQdq7Lj8XPUy9txv03qbynXeuFhOfbazs9N1bddvHz9+HBx//vz5d9dV9bLtLjdp/lW6\n",
       "z0xrg8tF2u4091Ne01h1bdPxUtoPKc+5uNXyVFfKa7qXc/uatO/TPkt5KK1TaZ60Utzqc2XKHW4v\n",
       "0PsckWJRx9DdS4rb3rXf5WRtd8rfqW3ap+45s3dtT7H5/v37uWVfv34dHB8fH9u6UqxpP7h+S3N9\n",
       "f39/cJxyas87qjRe6T5748Pdq/42zc/evOb2MSnPfPjwYXDsYqlqOJ9THKdY0zFK9+3Ke58TUl7T\n",
       "+dszvkr3uGleuPeEOtZpjUxzRmPJ7Xl6+yxd28Wtzs80X3vnjFu30l5N18hF9zxtv6X1NPXp4eHh\n",
       "4DjVl97dtNL76xQfPdfWdUvpnEpjcHJyMrdM81TKmXt7e7Zc9wIuNnvfIae1w62hOn4pLnvnXKrP\n",
       "0d+m+dzz3j89Y6b3ALrO9b6zaul9pralfmivtWifaXkafzfeGmuLrO2vXcvNg5SHtK50vtvn6HNg\n",
       "eq+b9qUaO24MUuzoWrHI/OT/QAYAAAAAAAAAAAAAVBUfkAEAAAAAAAAAAAAAz/iADAAAAAAAAAAA\n",
       "AACoKj4gAwAAAAAAAAAAAACe8QEZAAAAAAAAAAAAAFBVfEAGAAAAAAAAAAAAADzjAzIAAAAAAAAA\n",
       "AAAAoKqqRrPZ7Mmd8PDwYCtYWVkZHD892epsudaVrr205L9/j0ajwfHj4+Pcc5eXl21dq6urg+O7\n",
       "uzt7/v39/dyy3vtMbVOuX3rHR9uq3H1WDfs81ZXKz8/PB8c9saQmk0nX+S52tC3T6dSem2Ln7Oxs\n",
       "cJzq0zh313LnVuX7TLHaQ/tc59gi115bW7PlGkvpWq5taX7qHBmPx/b8P//5z3PL/umf/mlwvL29\n",
       "bev6n//5n662udjc3Ny0dWk/pDFIucjVrVJc6+/THHTxoe2+ubmxdaXxPj09/fZ3ivF0nz1r3lvq\n",
       "a6X7SDlUr+Xy2tbWlq3r+Ph4cJxyh2v79fX14DiNwSL5WKU8pPNT1waV5lwbD2ntvr29HRyn+erm\n",
       "lNaVYiXNT22LO793/5SkMWvvrScWXqPjqbGq3JhqXWn/nK6lsehyje63lLb76urKnv+Xv/xlbtne\n",
       "3t7geNE9j873Nl+r1KcnJyeD4/X1dXt+T95KcybRfnK5ROez0j5LbUs5t51zKZZSflZu7ejNt2mN\n",
       "TP3WjkHKWykfX15eDo5TbDoaa2l97o1FN0fT/NXxS+uaK9f56OZ6VdXGxoYt135z95Larb9NsXRx\n",
       "cWHLW2m80h43taXVm/MWbVs7jxaZA1Uv51Sa7y636LqzSNxWVc1mM1veSrlDc+yHDx/s+e0Y6Rqn\n",
       "Ul7T8jRmLs61T3rXeqX7Vldfyg06Bmlf6dZjzQ0pP6fnJd1/ubyV9mo6P1Mfu/mscZneSfS+B3Rz\n",
       "LK0FmuvTeC76TqPVm9dSDnbxoXGdxjPlGt377e7uzj333bt3ti4do7QuuWecn376qauuNA90/v7y\n",
       "yy9zz9V1RmnOS3nNjbfucdM60vuO2M3BlIe0H9L5aY1Mv++pS8vTfHV7BR3PlLfSvqPNoT33/Bod\n",
       "7573tqr3e2Fax3ROupybcqT2aXr/4dre20e972ld/Wld6f2G49rG/4EMAAAAAAAAAAAAAKgqPiAD\n",
       "AAAAAAAAAAAAAJ7xARkAAAAAAAAAAAAAUFV8QAYAAAAAAAAAAAAAPOMDMgAAAAAAAAAAAACgqqpG\n",
       "k8nkyZ4wGnVVuLy8/PsbI9d6eHiw508mE1t+d3dn6289Pj7ausbj8eD4+vranr+ysvLmuu7v721d\n",
       "ye3t7eDY3efSkv9vBrQ89cvTkw2fms1mf1hdOp6rq6tzz03X0j5KY5DatrGxMbdula6l96Xjq1y5\n",
       "jmdqW7qWxq47P+UCHU+tW7WxpK6uruxvVRpP7Tc3b9Kc0lj8+PGjPf9f//Vf55Z9+vRpcJzG67ff\n",
       "frPl0+n0zfWl8Tk7Oxscu/lZVXV5eWnL27akWEprhbY9ne/mqPbR+fm5rSu1va0vjafOGaVxfXNz\n",
       "Y8/f3NycW6Zxna69vr5uy3X+un7b39+3del9bW9v2/PdHO1ZP99SrnHvYi31qf52bW3Nnn98fGzL\n",
       "Ly4ubHlL9zApzt196nilvVuaB4eHh4Pj3d3dueemtUHjdtF9SnuvaZ+o+Vdpn6a1xrVN+9zN/ao8\n",
       "3hprbs+b2n16ejo43tvbs+d///33c8s0FtJ8TeOtc8atDWld0dyQYtONp95Xb15Suk659TntBXS8\n",
       "dW+gUtvb66U+a/fir9H7dH2cYkPvK52/s7Njy9t+SPujtN5qDk3j78ZAc0fKgakfND7cHinlIc2h\n",
       "BwcH9nwXuzqeKT+nuE3rdSv1mZan893eovcdxN/+9jdbrtz6nuJa50iKtVTeXm/R8dK2p/hw+y0d\n",
       "v5RTU9t73r2la717925wnMasbVvK9b173pQzXb7Xa6Vn7zQP9BnGjX9ap/S+0vluf6XjlXJmovfp\n",
       "+iX1md7XIuuQzpmTkxNbV4o15dbU9CytsZDyc3rGaedceq5L+86tra3BcRoD13adb2kfkuL6/fv3\n",
       "g2MX572xk8Yg9VvLvX+syuvQr7/+Ojh2Y/rTTz/Zuo6OjgbH6VnOjYGuUalP0n3qGurmc1pXdJ1K\n",
       "a1yqr+0nfeZULg6rXuaDdL7rB72vlBvS83Q7T9IcSDS/pzno4kfvK+2fEn3v58Y/tVvHc5F9p9aV\n",
       "1sgUOz3vFJPe743uPvk/kAEAAAAAAAAAAAAAVcUHZAAAAAAAAAAAAADAMz4gAwAAAAAAAAAAAACq\n",
       "ig/IAAAAAAAAAAAAAIBnfEAGAAAAAAAAAAAAAFRV1Wg6nT7ZE0YjW8Hj42PXBZ+e5l9udXV1cPzw\n",
       "8GDrSuXLy8uD46Wl+d/LV1ZWbF339/eDY22rcte6u7vruvbl5aUt39jYePP5s9nM1nV7ezs4duNV\n",
       "VTWdTt9cX7rP5Pr6+s3X1vFSel8aK2oymdjyq6urb3+nOaHjpXT8Uh9rv7Q0Dl1cVuW265wbj8dz\n",
       "z02xo+WpbTc3N3PLdHzSfaS8pm1x9/nu3Ttb11/+8pfB8ffff2/Pd7lF27W5uWnrSuVnZ2e2vPXL\n",
       "L7/Yco0NN15VOa+1cziNp5sDVS/HW/OccrHbW1fKRa3T01NbnuJ2fX19cJz67eLiYm6Z5kStO52v\n",
       "NI+5fkvr1Nra2uA45Ro9v6XzLdXl+qzqZZ+7tUP3AkrXzNTHqe1tfKVzNW7bNe41bjy1/4+Pj21d\n",
       "iY6BW1PTfer4pPFN+872eovuBVTKJS4+9Fop9s7Pz2255iq3v0tru97X1taWPf/HH3+cW7a/vz84\n",
       "Pjg4sHWl/ZWuUy4Hpzmi10rrlosfbUeKtVSuOdet3ykPqTQHU31tfKT5l54zNO7dWpP2MDp+bp15\n",
       "S31pv9ZK46l1LRJrOn8X3V/rftrtBVNdGltpX9nzzJLWghS3ei2Xv1OO1PI0D9xzhP429fFPP/1k\n",
       "yzUe3L2kObCzszM4TvfpxrNqGPcpNtK+U6V7cXR80vxM96lj4HLu3t6erUvzWBqD9to9zzuv0bU/\n",
       "7VPc+q19lvowrR3aL27+pz7r7Sc3R7Usva9K96l7P7dPTftEHZ80nm4OaoyndSj1g/7etS095+t4\n",
       "9+4FXX1pvNJ7g59//nlwnN5ZufHWZ7fd3V1bV+/7bde21Gd6rZTP3TuNnn1iVZ4H2m9ub3F4eGjr\n",
       "+vd///fBcdqHuL2ArjspltIYKJe30nNB774zxVpbX8q/aT+m+SCt324Mer5VVeX9Ws93l951Kn37\n",
       "crGo+6Xe8Ve6Hvc8L6dr9X6/aGlOS2OQ2qa5yK1TvXuctCe273XsLwEAAAAAAAAAAAAA/2fwARkA\n",
       "AAAAAAAAAAAAUFV8QAYAAAAAAAAAAAAAPOMDMgAAAAAAAAAAAACgqviADAAAAAAAAAAAAAB4tvL4\n",
       "+OhPWFnpqnBpyX+TXltbm1t2eXnZVVdq+3g8Hhzf3d3NPff+/t7WpW15eHiw57tybdft7a2tJoBB\n",
       "SgAAIABJREFUK42B/n59fX3uuVdXV7au7e3twfHJyYk9P41RS+9bufGpehk7rt9WV1dtXTo+6T5S\n",
       "fGxubs6tW2mcq+l02tU2Z3l5eXCc2pb67enpaXDs+iVdS9uW7lPPd+1w51ZVzWYzW65tn0wmc8/d\n",
       "2Niwdf3www+D452dHXv+f//3f88t29/fHxxfXFzYupKtra3B8enp6dxzR6ORrevm5qbr/BQf7fxO\n",
       "56a1QGMr5VzX9sPDw8Fxyms6Z1Sb987Pz+25icaDi9uql7mmdXZ2NjhOcyqNt7bNXTu1+7fffhsc\n",
       "67ql3Hjrmpjqcu2uetl2t65dX193Xevo6Miev7e311Wfc3x8PDhOa6DLgzoH3D7wtWsrjUW3pqa4\n",
       "1fFJfZT2Y23bUxynvYDOqVSf2/vp2p7yVhoDnVNu75BiR9ehFB+61rQ0b6XxSvl5d3d3cPzLL7/M\n",
       "PTeNj0ptc7Go+TSNp+uzqpdrpJs3aa+uUr+ktrVjlPaoqU91zrlnohS3updLa2BaW9oxSHuetIfV\n",
       "+ZnGwLVd94Vpz5vmVM9+XfdbSte8NA9c/GgcplhLcav7UnefaZ3SOF3keVrHOr0XSPNd51T7PKxS\n",
       "uzU2Uiwl7Ri5dlXl+9Q52fvOoqXrlFu730LXCpcHUx7S+0rP5u2YpvFKa7vGZuqXnueIdB+pXOtz\n",
       "zxUpNnS+p3nh9oraB+n5NpVrnLvnlLSu6DNtWrdc3Gq7Un5Oz9O6drgcnOZMT5+9dr5q4yfdZ8pr\n",
       "2ufpvZF7D6TX6nm/8Rqd727MUp/pfizFphtvnVPpuTCt37oXcHHeu5f/z//8T3v+Iu+QVdpfa6y6\n",
       "XJPykMZWmlPp/UebQ1Mfpz2R0mdY5cZAxzO9z0zlrfRMkvQ8F1b5+a5rf9o/9+6/3Zim3KH7zpRT\n",
       "e9bEFLdpfvase2m89T57v/G2+D+QAQAAAAAAAAAAAABVxQdkAAAAAAAAAAAAAMAzPiADAAAAAAAA\n",
       "AAAAAKqKD8gAAAAAAAAAAAAAgGd8QAYAAAAAAAAAAAAAVBUfkAEAAAAAAAAAAAAAz/iADAAAAAAA\n",
       "AAAAAACoqqqVlZUVe8LDw4Mtn0wmg+Onpyd7/vX19dyyx8dHW7dK17q5uRkcj0ajuefOZjNb1/n5\n",
       "+eA49ZveS2t5edn+VqVr3d/fD461ra3V1VVb18nJyeB4acn/NwZ6bdW2/fLy0p6b+mU8Hg+O19bW\n",
       "5p7r4qzqZSyk+9RYUu3vU5+k+7y9vR0cu1hKzs7OBsdp/FM/KDdHr66u7G91DO7u7rqu3dL5m2It\n",
       "XWt9fX1w/O7du7nn/vjjj7Yu/e1//dd/2fNdXOt9uXOr8nheXFwMjl1OdfnztbalOZMcHBx8+zvN\n",
       "gTSeOufSutYzD3S+qtRvmnOd1A8at2kOujHSdqecmvqsJ+f++uuvti69z7RGHh0dzS37+PHj4Djl\n",
       "583NTVuu/eTGIM1f/e329rY9P8ViO7/T/NR+SOuarjUtHa80X9P81HI3ZmnOaHm69v+ydydNmttW\n",
       "1sdvzvOcWaWSZLu73b3Qsr//t+iI9spuW3NNOc/zu8moAE8mz0nUo9Ub/9+qGESCIHBxAZJSPD17\n",
       "nnSfac7o+TS+ukdqaSyl2Et5S8+7fknzU/clm5ubtrwbo5OTk8Hx4uLiV9dV9bzPXdtSn+n62jNf\n",
       "leYhve/etvXsv7a3t+15zYFpzqRnvXYP9eHDB1s29anmCncvqd06Pm7+VfkcWTXsh7QOpfHUvJb2\n",
       "Au7ZYHV1dXCc1o50n6mfWrp2KB2jNJ9dP2i7Ut5K+Vvj2rUt9am2JY2/a7vmipQ7Um7oeZZL67H2\n",
       "WSp/dHRkz7d5suc5/iX695O8P9P7TLmmd1/yX//1X6NlU47sfW/QSvuKNJ7r6+uD45Qr3LO+jk/K\n",
       "qSlvadvd+Kdr6XimMXHx0fMMWZXbput3Tx8rvc80/mmdaqXYSHGr89k946a69L729vZs+XSfbS46\n",
       "ODiwZVPc6h5nd3fXltf3Qq3ffvttcKzzVbn30VVVW1tbg2O3F0zjrWOQyrtneY2NlJ/T2qJj4NbI\n",
       "T58+2br0nWLaE7tY07hOz0u6F1QaO65f0lqhuSM9J/Tk0LSepu9LGg8pP7icq+PTu+d10n2k/K3j\n",
       "l/rN5Xcdn7SvTOOp/eT6JV1LYyvlZzeeei7FRs87pSo/Bum5QNuS3uu6+OH/QAYAAAAAAAAAAAAA\n",
       "VBUfkAEAAAAAAAAAAAAAT/iADAAAAAAAAAAAAACoKj4gAwAAAAAAAAAAAACe8AEZAAAAAAAAAAAA\n",
       "AFBVVbPT0/4b8sPDgz1/f3/fVX5+fn68MbOz9m9VutbCwsLgeHFxcbTs5eWlrau3be4+tc/0WD0+\n",
       "Ptrzel+3t7ejZd25l+pKbbu+vrbnp6amvvx7aWnJlr25ubHn7+7uRutWKa51PFO/pH5o67u4uLBl\n",
       "Uz9oW9L4z83NjZ7T8XR99ppraduvrq5Gy7o5UJX7XM3MzIyeOzs7GxyvrKzYutJ4rq6uDo6/+eab\n",
       "0bLv3r2zdX348GFwrHlJufjQ8Ul5yfVZ1fO899tvv726rNI+3d/ft+V1Pqs2H/TMv5ecnp4OjtPa\n",
       "kc63UhynfNDOyUnnzNHR0eA4jb+LRe3zlDvStXS8XXkdL6U5L5V31zo5ORkcpxx4eHhoz6+trb36\n",
       "2qlPl5eXX11XVdX5+bk9386TNJ81Fnd3d2151y+6T0jXdmta1fO9ghuzlBt0DFJeSnO0vdd07ZTX\n",
       "9D5TvLj8oLGT8lIaI91juTFIeUvvU/OYctd68+bN4Pjjx4+2ro2NDXt+b29vcOzmWBofnQe6z1Bu\n",
       "T6x9kPY8iY6ni92079c5lOZM6rdPnz7Z863eZ1DXxylutY/++c9/2vIaS6rth5Q7Up7StT3dy8HB\n",
       "weg53ZOm56t0Xp9L3Pqd1mPth9Rvbs/Ts++ryuuxzhM3D9Kap7ki7Xlcftf77M31SvvBzefedxBp\n",
       "TNLzdPtsqPspld5B6H2me3Ft13b3Pg8rzS3u2mnt39nZ+ep2uPdsVXl+aqy5dwxVfvx1PNM6lOJD\n",
       "2+b2b/pOQmkspTXV0XaktSHlVG2by5nHx8e2Lm1L2m+5eaB16bOW6n3X5vJcmjMaO2lvn+Z7O59T\n",
       "XKbnPn0Xk+agm8P/8R//MThO61DvXtGtRZubm7Yund+pj9McbfXOGaVj5HJRGm8dv7Sv/OWXX0bP\n",
       "aZymtd7tE6ue72PcfaY+1baltSWt3+310n2mtULvc5Kc27tX79lfp/1Tmp/aDymvudjVa6U5k+5T\n",
       "+8nV13utNJ6uX7UP0nj2vu9y+bt3vNNa4Orj/0AGAAAAAAAAAAAAAFQVH5ABAAAAAAAAAAAAAE/4\n",
       "gAwAAAAAAAAAAAAAqCo+IAMAAAAAAAAAAAAAnvABGQAAAAAAAAAAAABQVVWzj4+PvsDsrD0/NTU1\n",
       "OL6/v7flr6+vR8/NzMx01aXl1d3dnT3uqUs9PDzY867fbm9vX132Nde6uLgYHC8sLIyWXVlZsXVp\n",
       "n+v49tbX0vtWm5ub9vzZ2dngOLXNOT8/7yq/urpqz7f3trGxYcteXl7a8y5Oe2lcp/me5sHp6eng\n",
       "2MWam+svXSuN59zc3Oi5q6sre9xTV1XV3t7e4HhtbW20rM4/dXJy8uq6Un0pV6j379/b80dHR4Nj\n",
       "Hd9W6lMd75S/b25u7Pn271Mfu3ZXVS0uLg6O070sLS2NntP5m+JWr63aOZly5PLysj2vY5Da5s5r\n",
       "Hkq5oXdNdPkhtVv/NsWHW6c0F6S4nZ+ft+e1H1zbUl16n2ltWF9ft+fbOZfGS8c7XdvF+fHx8eB4\n",
       "0vw8Pf36//YxldU559a012j7IfVxWo91T5T2Le56uofZ39+3dfXGuctNac+jsbazs2PLu/1Y7xqZ\n",
       "co3GqovzNEc0tlJ8uD7Va6X9VuoXjUWds63t7W1bl67taV1L/dbm0PTMkcZT41qfK1rpWnqfac68\n",
       "efPGnm/7Ia1pKXdo29L4u7jW/ZDrs6q8V9C/d/2W9ok6p1K/ufvUPk19luacXsvFU8rteq2UO9yc\n",
       "0j7rXSPTtdz+eWtry9al453us2fPk+6zN0emOHfndV1Je56U17Ttbs1NeUrbkmKzHdP0Hift/XSM\n",
       "0n7cndc+Se9xPn36ZM9rv6T572ifTvJM+uHDh8Fxek7sfU/r4iU9e+scSH3m2qZ9kNbAdF7b4uZg\n",
       "ylsaa2kMUi5q4yGVTfsUzaEpp7q9n65pqV/S+y59R+XyXIo1nd/67k25tUP3Eek9Tjqv74V//PHH\n",
       "0bJpLTg4OBgcp/1YGu9W2m/1Pi+5NTXNT913pByZ1rV2n5L2NKltOr/TM66jfZTGK+XvNl+kZ6tU\n",
       "l/ZDej/i+kHzWOrjROecu9d0LV2PU5y7vYTmjlRXGiNdQ908SHvY3vcjrm38H8gAAAAAAAAAAAAA\n",
       "gKriAzIAAAAAAAAAAAAA4AkfkAEAAAAAAAAAAAAAVcUHZAAAAAAAAAAAAADAEz4gAwAAAAAAAAAA\n",
       "AACqqmo2Fbi7u7PnHx4eBscLCwu2/O3t7ei5x8fHwfHsrG/e/f29PT89Pfw+fnNz81Xtqqqam5uz\n",
       "59Xl5eXoucXFxcFxug/tl1Sfo+OlZmZmBsdTU1O2fIqP9nyq6+joqOta7r5Tn25ubg6OT05ObHmN\n",
       "JbW0tPTl31dXV7ZsonGvY6Jc7GqfpzhO/aZ/7+IpjbdKce7atrKy0lXX/Py8Pa95TOOldXp6auvS\n",
       "8XR5qMrPqZ2dncGx3ndv23QOuWun3HFxcTE4vr6+nqhtbfykPks5UOdIio/z8/NXtauqP6eqNq5T\n",
       "nkn5Nv29crlDz6W6e6/d5kyV4lpjLeVvFx/6t2kPk2JNx9vF7urqqq1L4zSNf4rrdozevXtny374\n",
       "8GFwnOazu0+dI8vLy19dV9XznOr2W2lvp3GYxtddq2rYdrduvKYu7bdUn1vftc+2trZsXfv7+11t\n",
       "c3nQzfWqqvX19cFxmhdavqV9kPYhKT70vFu3Ut7S+ZvWDjefU7t7aU5169bBwYGtS/dqKXekNbLN\n",
       "yWmdSdfS+3T1nZ2dvbpdVXlO/d///Z89/+bNmy//TuObYk37YZL9tcZtys+p7Zpjj4+PR8umPtW9\n",
       "Wnpv4PZ2+rfpOcHloZf+3vVbyu26T0ltczlXc3uqq/c9kIul9Iyp10p9nNrWxk96x5DmiF5rY2PD\n",
       "lv/48aM930rzOe1LND7cHmtvb8/Wpbnj22+/teV73vOk/K1jlPbjPWvk4eGhrSutx+mZteXyTNXz\n",
       "90RpL+hiSdud+jjFua6RLj/3SvO/Zx1KsZbWb43z3d3d0bLpWlpXipXvvvvOnm/vNe2PUu7QOZX2\n",
       "4z3P8pM8e1dV/elPfxocf/78ebRsarfGTopztx7r3/bsUV+ic8jlmtT/79+/Hxyndc2t79qudJ9p\n",
       "76fcfizt1bXdqXzKLW1bJv2+pLko1efyR9rDqJ4xSHGZckfPu5Yq/w5Cxy+tt73fE12u6X1enuQ5\n",
       "U/+297uK0nngYindp8baJO+U+T+QAQAAAAAAAAAAAABVxQdkAAAAAAAAAAAAAMATPiADAAAAAAAA\n",
       "AAAAAKqKD8gAAAAAAAAAAAAAgCez6UesE/3x5/Qj547+0HT6Ae30w9T6Y/CufPrB7N4fxX58fBw9\n",
       "d3V1NTh2P/xd5X8wu+r5D5G7e+n9wezUL9rHqr234+NjWzaNt7bFxW76UfKjo6PB8c7Oji1/fn5u\n",
       "z7fxkPpMfxDd1fXScSrvrpViKdEfaF9aWhotu7q6aus6ODgYHKcxc23XuE73meacxtbp6elo2d7x\n",
       "WV9ft+W1X1ra3y7PVFVdXFzY8xrXZ2dno2Xduaqqm5ubwfHKyootr7Gk2jy5sbFhy+p8Vppb0pg5\n",
       "OgYpN2i/qDbW3Hyqyu3WuE352a0HOh/TXmFtbc2e11h0e4XUZ9oPu7u7tryLNc2Rqc/SGOh9ufme\n",
       "5pTG7fLysi2f+m12dvbLv1Nu0LpSv7i2aZylOZP2ArqXcPk8rQWap9IeNtXXrnuXl5e2bKJjkGLP\n",
       "raH6t5PuBXTtcfuetBZo21Jsur2k5oJ07bQv1dhy/ZbiWvN72o+fnJyMntP+7pn7L9H7cvMg5SHN\n",
       "t5POgzYf/NFzyq25aS+v463PdiqNQTvee3t7tuz+/r49r+tayh0uFvU+014g3afmKVfezYGq57GY\n",
       "8prbM+t4pz1qepZTbr1Pa15veTee2mfpPlNuSc8hrZSPt7a2uurueQZKe5iUW/Q5JO3f3HOLxny6\n",
       "j5RbdExdXjs8PLR1pb28avt10ljRa6c10o2p9nFqW+8a+unTJ1ve0TmX8pa7Tz2XcmY6r21J+dzR\n",
       "nJr2W+4+NabTfaTnac2hnz9/Hi2b4lBzwbt372x5956napgn0zqT1uPt7e3Bceo3N/81biddOzS2\n",
       "3PqQ9mOaW1Kucf2ge5Q0BimudW1xc+p//ud/bF3/+Mc/BsepX9xzoc6R9C4t7f11n+nmTe+eNK3f\n",
       "ad1q3+Om2Eh9qm1L769dfdqWtBakfNzOyUlzh+a1SdYCbUsag97vbG7/lmJHz6e85sZTc96k99nz\n",
       "vjqNt+4je98LtPg/kAEAAAAAAAAAAAAAVcUHZAAAAAAAAAAAAADAEz4gAwAAAAAAAAAAAACqig/I\n",
       "AAAAAAAAAAAAAIAnfEAGAAAAAAAAAAAAAFQVH5ABAAAAAAAAAAAAAE/4gAwAAAAAAAAAAAAAqCo+\n",
       "IAMAAAAAAAAAAAAAnszGArO+yNXV1eB4bm7Olp+amho9Nz09/J59f38/Udtubm4GxwsLC6NlFxcX\n",
       "bV3Hx8eD49XVVVvetV3PaTvVw8ODPa/9cH19bcs7el/p2qnt5+fnX/6dYiONp9LYa6Vrzc/PD45P\n",
       "T09t+dvbW3t+ZWXFnm/1jvfj46Mtr/PG1ZXuo3eMzs7ORsteXFzYumZmZmzd6u7uzp5vpdyR2tbG\n",
       "bdXz+d9DxyDNqe3t7dFzy8vLg+MUSy7fVj2PHVd+aWnJ1qV9lqS2tfHh5vprXF5eDo5TnLv40D5P\n",
       "sZbWlnZ+p7nu1rCq5/eZ+i21rZXmZ8ot2qcbGxujZdN9au5IY+BiTfsozc+U6zUnunmT5pTGWmpb\n",
       "Gs82h6ZY072AxpZybdPY0PFTbl2pqlpfXx8cu/ysa7369OnT4DjlhhSbbTyla6f5qW1JOdPRPvvt\n",
       "t99s+TSflcuZab+ssfj+/XtbXtfBlu7lUtymdUtzi4vdFBu6h0lz0OVcnW8pNlIs6vi5XJLmp/aZ\n",
       "y/VVOa+1/ZZyfYpb3fO4fWV6LtBnrZTXXNxWDfPBr7/+asv2PhemPa+LNe3zdB+fP3+253WeuHmQ\n",
       "Yufo6KirvIuPtbW1V7eryj97VT2Pn729vdGyKU/pc0Haj+3v77+6rjRe6dlL+8n1S6pLY23SNbSd\n",
       "J6mu1Kc631O+d7lK+yzljnRe782VT/tOzf09e//0TNq750337erTtT3lwDSfdU65WE6x1jv+bo7q\n",
       "eKX1OeU13Xe6OdY7B9L67PpN94XpeSet35pz3RikPtP9V3qO0P24k/Y87p1RVV/cVlUdHByMntNc\n",
       "kK6dYlHHyI1/2qtr29Jzh6PjmZ6XUu7QefK3v/1ttOxPP/1k69I4TTnVfRPQOZDiPH1f0D2Um4Np\n",
       "H6ltSbkmtb3dC6Q+633fkZ6/XH2ax3q/X6g2x6a5ntqtbUnXdvO99/1F2kvoPJjk/XUv16+aC1Ju\n",
       "6H3X4taDtI/Q8UzPkW5O8X8gAwAAAAAAAAAAAACqig/IAAAAAAAAAAAAAIAnfEAGAAAAAAAAAAAA\n",
       "AFQVH5ABAAAAAAAAAAAAAE/4gAwAAAAAAAAAAAAAqKqq2cfHR1vg/v7enp+bmxscPzw82PLT0+Pf\n",
       "rPVvte5eWp9r2/n5ua1rYWFhcHx7e2vLz8/Pj567u7uzxyr1g47h4uLiaNnU7uvr68Gxu4+qqtnZ\n",
       "WXu+5ca+qmpqasqev7i4ePW1b25uutri+qwqx3V7veXl5YnqOj09HRyvrKzY8m6OamxMOgbadnev\n",
       "KbdoXZeXl7Z8ikVXt0p5Tf9+f39/tGwa76WlpcHx2tpaV/nWzMzM4DjlhjQPNB+4+Ei5Q9uiuUSl\n",
       "uG7zouZflfKQxtYk80D71I1X1fMxS/U5qU978nGVn1M63ik3pPvoWY/TtTS3pFzjYlfHJ117c3PT\n",
       "nj88PLT1t1Ie0j5NsZTqa+M+ldV9SW/ObL19+3Zw/Pvvv9u6UhzrXsDNwRSXmofS+Kfc0fZD2leu\n",
       "rq7a85r30rq2vr4+ek7bndaO3n64uroaLZv6QedMWmu2trZGz+n+aW9vz9al5ZXmFtdvvXv1lM97\n",
       "9gJJ2l+lHNpKcauxkOZMalvbTyk20vOUOjg4GD2XrqV5KuWtNN5tP6W8lfad2qdpfN0eS/vU9VlV\n",
       "fp46OjoaHLt+S7lD9zBpXrgcqTkvxWXa+2meOjs7Gy2b9ri9bXN9+vnz58Fxiss0p3S8Xb+k5x9t\n",
       "d5qDbt2pGvZb6uO0Fqi0Hrs82Tun0jqWYrGV+kHPp71fm4vSeKS6NM57c0lLxyflwN62u/Ve55jS\n",
       "NTHtt9wc7V3z0j5FY8n12yTvfF+ie/uWrolpPHv3Y1/brqrn60oqn9b3Ng+msr3jmdrm4mljY2Nw\n",
       "3LOneYnmezcH0zsjXV9PTk5seddvmrvT2pBy6i+//DI4/tvf/jZatnffmeIjjVGr5/n2JcfHx4Nj\n",
       "tw/p/faR9oI97z8meZZ+qS0pf7vz2ueTfpdr/z61K42B7q97v620dI6k9Tat/crFWupT3U9P8h5Q\n",
       "YyPFWu+7Flc+Xav33akbT/4PZAAAAAAAAAAAAABAVfEBGQAAAAAAAAAAAADwhA/IAAAAAAAAAAAA\n",
       "AICq4gMyAAAAAAAAAAAAAOAJH5ABAAAAAAAAAAAAAFVVNfv4+GgLTE1N2fP39/ddF3TXm52d7ar7\n",
       "7u7Onp+bmxscT0+Pfy/Xsurm5mZwvLi4aMufn5+PntN2zMzM2Lq0X5T2w+3t7WjZ1G4db1fXa863\n",
       "95ruM423/r0rn/pMx+Dk5MSWT/W10pzSWFKpn9TDw8PoOY3rNGdS27Xf3Bi4+Vb1PNbm5+e/um1a\n",
       "V8pbrs+qqj5+/Dg4XllZGS373//937Yu7QdXV1Xuh1aKy6urK3te48HFR29cp/s8Ojqy55eXl7/8\n",
       "+/Dw0JZNsabn0/i7vKaxleZrypFtv15fX9uyCwsL9rzeZ5oHl5eXo+d6ct5rtONZ5fNg6tOetT3V\n",
       "t7S01HVtzQ1qY2NjcOzuM60FPfm2KsdPO6ZpPuu1Uh+7e9G60vzTWFFnZ2evvnaqS+dAGv+UU3vq\n",
       "cvvEqqrj4+PB8ebmpi3v5rvm9nTt1PaLi4vBscsXKS61rpS3XOxqLHz48MHWlWJR+9y1Lc0pvVZ6\n",
       "7nBjoGtiuo/eHNm7D21pH7l15jXX2tnZ+fLv09NTW1bnjNL4cLkjjWdaj1VqWztGKden8+vr64Pj\n",
       "ra0tW97NUY2dtEftfc50/dwbh+lZzs0THc+0h01joPPbrUWpLh2DtD9zfaprwST7p9e0pacujY3U\n",
       "L7p/U20/9D4PKb3PtK65ZxyNtTRnUq7RPLa6ujpaNq0VOgZpHrTPOCnXp9yh453yvatP25LalsZf\n",
       "+9g926XnPo2lFJvuPnvfw6bx172F26f0voedJG+l/ZJKe1ydI65fUo7UMUjjme7l4ODgy79Tbkg5\n",
       "tff9x/b29ug5HZ/0fJXGQPcl7vk69am2Le0F3H1qH71588bWld5n/etf/xocuzhfW1uzdWnbUq5x\n",
       "et8Rp1hLe+ZWikPN1yl3pOfGdg1Na3fvu/K0Prv8rbGT9jQpF/W0K11L51zvHmmSunr3Cm5MU9xq\n",
       "jp30+2OPP/L7o75LUdqnaQ66tvF/IAMAAAAAAAAAAAAAqooPyAAAAAAAAAAAAACAJ3xABgAAAAAA\n",
       "AAAAAABUFR+QAQAAAAAAAAAAAABPZtOPkqcfktYfLU/1uR9s1h+lTj+I3nstVz79CL3+YLr+GHgP\n",
       "/QH09CPmaQz0R67dfaY+1R8h7722avsp/Zj7+fm5Pb+2tjY4dj8WnsZT25L6peeH5tOPmCfr6+uD\n",
       "4/Qj5z0/Wp/GoDeuXb/pnEl/m37k3vWDntM51ts2/dH6P/3pT6Nll5eXbV1bW1v2vFpdXX112aOj\n",
       "I3t+cXHRntf5rvftyiqNwxRL7lpVw1jVuZ+urbSf0vi7ftNYS3WlHNlKfZbysZ5Pec21TXNo6mNd\n",
       "v1XPetzb7hRLbk5pu+fn57+6rqrnY+hyUbpPzS1pDqb4SddrabvTtV3dun6mOZHGoKd86hOdv6mP\n",
       "0jrVnk99ltYpHf+01vTsBba3t21dv/zyiz2v/eT6Lc1P7YfULwcHB6PndH5ubGzYulJO1fzw7t27\n",
       "0bIp1jR2UnxcXl7a862e9fQlmu/dfuvs7MzWpff13Xff2fIpro+Pj7/8O+2vU245PT2151tp7619\n",
       "ltq2srJiz7fPQOk+Uh7S+ZjmlLuejnfKkSluNV+7eEp1bW5uDo5796mt3rUg5Q5ti3uOTHOqJxdU\n",
       "Vf3++++j5zR/pjmR9rj67O7262kvr3Mq5a0059q8mOZAb/5O3L1qn6b5nvbX2k/uHYi+Y1Aa1yk+\n",
       "2nmSxivRPkvPHW5e6PxLcZyep3vW75SHtC3pPl3s6rXSnJhkLVC9e/WUU13cartT/k19qtdy8ZFy\n",
       "g8ahrktqZ2fHnj88PPzy7729PVs2jffu7u7gOD3Duvp0vCd936lj4MY/5UC9r97n65a+A0rvlNPz\n",
       "1F/+8pfBsctb6VraDymv9Uhzv/d5ya2Zqd26FqQ9UMpr7V6g99tWOp9i07VdnwsmeddSNYzrND9T\n",
       "Xb3vO3u+8aX30+n5S5953XxO463XStd2Y5TisFfP+870jKntnuSbLf8HMgAAAAAAAAAAAACgqviA\n",
       "DAAAAAAAAAAAAAB4wgdkAAAAAAAAAAAAAEBV8QEZAAAAAAAAAAAAAPCED8gAAAAAAACZPeLcAAAg\n",
       "AElEQVQAAAAAgKriAzIAAAAAAAAAAAAA4AkfkAEAAAAAAAAAAAAAVcUHZAAAAAAAAAAAAADAk9nb\n",
       "21tbYG5uzp6fnu77Bj01NTV67u7uzh6rmZmZrvMXFxejZWdnZ7vqSv1yf39vz/eUTX18c3Njj1up\n",
       "z3R83Hila1VVzc/Pf/l3T5+85PLycnDs2paupbGV+vjs7Myef3x8/PLvxcXFrmuna7V1v8SNqbbl\n",
       "6urK1pXGW/vp4eFhtGxqt/5tGgM359bW1gbHKa+lMVpeXh4cr6+vj5bVuFTffvvt4Hh1ddWW39/f\n",
       "Hz23sLAwOF5aWrJ1nZ+f2/PX19eDY9fHqc80bl1sVFWtrKzY8+08SXWl/K3jmcofHh6OntOct7m5\n",
       "aetKuaidc2kOpDmlY5TGv+da6T561xY3p3r6rCqPpzuvfZZyYLumvUTb7uaNzj+lcyrtO1Istv1w\n",
       "cnJiy2o/pDnoYlPvI61DaV/Rs36nPtO2pH7Z2dmx59u2pz5zc6Aqx2JPeV0rXI6ryvn++Ph4cOz6\n",
       "Oe15ND/3jr/724ODA1tXotdysZvykM6RNP9dfTqeqc8S/Xv3vJTWFd2nHB0d2fIfPnyw59v84dpV\n",
       "VfXu3Tt7XuP09PR0tGyaAyqt32k+t2vomzdvbNm0F9B9ZpqDLldpP6TckWKxJ3ekHKqxlfrY9ZvO\n",
       "bRcbVVVbW1t/WNvSvkKfM3799Vdb3sWi7lHSfivNAx0jVz7tEzUX9DwnJOlZLdWlcZr2Me681jXp\n",
       "vlPj2vVbqkvXpZRret7z9I5BWlNdrtF9RZrPKX/reLpYTnlL252u7fpN7zONb2qb7i3cmpvmjNaV\n",
       "3qW5edD7fjLt/TXOXeymONQ9T5KeM9oxTHueNAaaC96+fWvL9zyb9z7DKh1Dt3akuNW/3dvbs+U/\n",
       "ffo0ek7nVMpbKT5++OGHwbHbO6S41nj4+PGjLf+///u/o+f0vtL7yd53M+5eet+7T7pGtvea5mta\n",
       "8/Sdc4pzFx/ap+naPe8F0n6r9/tS2gtOkkNVmnM6hu7aKYfqfaX4cN8YNB9rLlFpH6nc+Pfs1ary\n",
       "txI3ZvwfyAAAAAAAAAAAAACAquIDMgAAAAAAAAAAAADgCR+QAQAAAAAAAAAAAABVxQdkAAAAAAAA\n",
       "AAAAAMATPiADAAAAAAAAAAAAAKqqanZ2dtYWuLu7s+fn5+cHxzc3N7b84+Pj6LmlpaXB8f39va1r\n",
       "amrKnte/n5ubGy2b7lPP9/ZL6/b21v6tmp723/lnZmZeXT6Nj8bDw8ODLe/Gs2rY5+k+Uizq+Ll+\n",
       "XFlZsXXp+LnYqMqx1vZD6pOFhYWua11cXNjyrt8uLy8Hx2kMUj9oW1J5R+dImheu3w4PD7uurblG\n",
       "adxrP7ZSLri6uhocpzFw93l2dmb/VqU5pedPT0+76m9pvj0/P7flUy5aW1t7dV3pPnVOnZyc2PKL\n",
       "i4uj5zY3NwfHqW09uUNzuUpzRNuyvr5uy7t4Wl5eHhyvrq7autIc1Lh263vqB9Ub5y3NQ2nN0/ms\n",
       "dAzcWuTyStVwDlTlPVFPLKa8petYKu/u8/j4+NVlX0PnlBuTFEs63m7uV+U52LbF7QNfurbqnQcu\n",
       "p2pdvWuJ0rU/xaajfZr6eHt7e/Sc9kGqK8W1jtH19fVo2dQHeq00/m5/pfuItO9M65DW5/adaQ+r\n",
       "8/v9+/e2fMqD7fXS/EzjqW3XdW4Sab1Na8e333775d9pTfv555/teZ3f7969s+VdLPbOz0T//ujo\n",
       "aLRs6lON20n2sNoHac6kfaTO37///e+jZdN46/xOzxFunmhspGunvKbPU24dSnNd41T3DiqtsW08\n",
       "pNzQ+44iPf+6PbOOge71VO+ztss1aby1T1O/tfEx6Z5H55zLDVX+Wf7jx49d105ri66Jbn/W28e9\n",
       "c6ylY53uM53X2HTzIsWl7pfSntblXI3DNF7pWrr2u35J46nSnEnvoNp4SDkz7f10DHReqD//+c+j\n",
       "5zS3p2e5FNe6XrucmeJW7zP1sdsT6ZxKsZTe02rbv//++9Gye3t7ti7dw3769MmWd+ux7kkmeY6r\n",
       "ep4rJvkeobkgrS2p7e0YpvFM81fftaR7cXtmjdPe5353rd73PErb0jtmLR2/dO003vr3rr7ed8Qp\n",
       "57pc1PuuJe07Na7dupeeMfU+J3lvwP+BDAAAAAAAAAAAAACoKj4gAwAAAAAAAAAAAACe8AEZAAAA\n",
       "AAAAAAAAAFBVfEAGAAAAAAAAAAAAADzhAzIAAAAAAAAAAAAAoKqqZmOBWV/k4eFhcDw97b9JPz4+\n",
       "jp67vLwcHM/MzEzUtqmpqVeX7223u49U38LCwuD4+vra1qX3ka51e3v7h9WVyqfz7b25dlU97xel\n",
       "8TE/Pz9a9uLiwta1uLg4OL66urLle2Ktp09ecn9/PzhOsenq03bf3d3ZutIYzc3N2fM919Lckep2\n",
       "/bC+vv7qdlVVbWxs2PM7OzuD47W1ta76W0dHR4NjF7dVVTc3N6Pn9G9///13W5f2cTrv2pbiVudv\n",
       "unYa73ZOrqys2LJpzum1dP6r5eXl0XPHx8eDY52vPXVVDfs15ZmUCzR20hi4nKv3pflXpTVRx8D1\n",
       "S4o1zS1bW1u2/NLS0qvrSrHm6qp6HotubemZA1U5PlIstmOUcn2KNeXuU2Mjzb8Ut58/fx4cu/yf\n",
       "6tJ+SHGc9gpt7KY9TVoj9XyKFzf+2ucpL6Ux0jnas7dXvXF+enpqz7fSffbuO9ze0q3dVc/jIZV3\n",
       "19Lno961Xmnec+Of+uz9+/eD4/Qsl9bv9u9TXjo/P7fnNbbcfZ6cnNi6NG7TfO/ZE/3rX/+yZXvn\n",
       "SBoDN090fNJ4pbjW+HFrru6flcZDmu9nZ2ej59Lar1Kf6n7axdqnT59sXdrnaR/y4cOH0XPaR737\n",
       "Z6Vx79qWnn90f53W47SPaedc2h/1PN9W5TFw9Wmfp71AijWdcz173tS2lLfaMUr7o0THKI2J2wvo\n",
       "faRYSXlL541ba9Kc0rU9rR0udnU8U6yka2k/uHvpfWfUG8et3veT6T1gzzviRNuW4rbneTrteVKf\n",
       "6rVSTu2J6959pVpdXbXnW2nfr+O9ublpy7sx0nVI97QqjZG+U3TSHlbnSIqlH374YfSc5uvffvvN\n",
       "1pXmu3J9nNZPzWvp2j3fN9JcT/sU7bf0vOziQ9vd++5Ftf3U+15O6fxOY+byt65hk35f0vrcvqb3\n",
       "OT/dp9vnaGylfUXal+p9uXUtxU7v+y6H/wMZAAAAAAAAAAAAAFBVfEAGAAAAAAAAAAAAADzhAzIA\n",
       "AAAAAAAAAAAAoKr4gAwAAAAAAAAAAAAAeDKbfnA5/biz/gBz+mFy9yPXCwsLg2P98e7etum9ufrS\n",
       "tfTHvFN5d15/nD39MHz6MXftUzcGaXxSW3rra8cg/ch8Gs/l5eXB8fX19WjZ9fV1W5f7AfSXpPFu\n",
       "7y314czMjD2vfZrq03nT6pkDrzmvPwbv8sfq6qqtS+P23bt3tryrT/t0aWnJ1pV+1P709NTW39ra\n",
       "2rJ1HR4eDo5TnGuuaWkfpDi/vLy05y8uLl597dRujUNdG9Sksdiam5uz53U8U049OjoaPafzM9WV\n",
       "7qMdw1T2/PzcntcxOD4+tuXX1tZGz+l4u7W7yueCqudzyOVv166X6ko51V1rY2NjcJzu8+zsrKtt\n",
       "bt6kPtN46J2Dqr23FGu6RqY4d3sBjcN03ylv6Xx345vus3e9TXltc3Pzy781v6o0XrpnSrHp1jXt\n",
       "c5frU10vtWWSvYBKfexsb293ldf1WWnb9/b2Rst+/vzZ1qVxmvKW2zNrXGseUyl36LXcHjnFoV4r\n",
       "jX+aJ+3eP83nlDu0n37++efRsr3PZilu0770X//615d/p/mX9jza5y5HVvlY1PFOuSPFmnJtS32q\n",
       "7U5j5uavxk5ap9IYaay62Ey5QNuSru3Wax2/SfJt1fP9suu39M6gdzx72p7iNq3H+hyR1ho3D7Qt\n",
       "u7u7tq4Ui9qvrnyqS9uWck07BimX945Bzzum3muptK7pfHbxkp7Vet6lVPk4179N95HO63i78qmP\n",
       "NeelNdDlLc0FKS573ttV+T1PGh8d75TPe94DpvU0vc/UPk3vrNwzbu97npWVFXte63N73tQPmntS\n",
       "fLj3PDo+6V1bWo9PTk5s/a20h9X3I2lv596n6H5of3/f1pX6VHOF65fU7vTOQaVYa+Mn7St6v2Wl\n",
       "8o6Od6orzbl279+7DqVrTfKNT/82rUNpP6Ztd7kj5VvNLSk+3LqnfZbWyN5nnLQWOTpH0vtMu4/8\n",
       "6lYAAAAAAAAAAAAAAP6/wgdkAAAAAAAAAAAAAEBV8QEZAAAAAAAAAAAAAPCED8gAAAAAAAAAAAAA\n",
       "gKriAzIAAAAAAAAAAAAA4Mns7e2tLTAzM/OHXvDh4WH03P39fVdd09P++/fc3Nzg+Obm5qvrcn/b\n",
       "K/V5b3nt0/n5+dGyd3d3XddOeupbWFiw56emprrOu345OzuzdWlcLy4u2vIaS+r09PTLv2dnZ23Z\n",
       "ROdB6pfHx8fRcxobKc7TtfTeXL+k+byxsTE4XlpasuXdGOl9XV9f27q2trbsee0HF0/Ly8u2Lo3T\n",
       "FJvr6+uj505OTgbHbuyrcixqv6V54GiOdHnoNddqc0tah1J+7r0vN080j6W2pTFq4yPNz5WVFXte\n",
       "40PnmHL5e3Nzc3Cc8neac9pPbi/QK42vmwe945nWY417N/4pNo6PjwfHOiaqZ5+Syur4pHx+dHQ0\n",
       "ek7jLOWG8/Nze17b4u4l5UC9zzQmaS/QtiXNv3SfOqdS2z5//jx6ricuq/K6pmPg5nO6Vi+3Tzk4\n",
       "OBgcp5y6t7fXde12r6cuLy/t3/Y+T/Xkjkmvvb+/Pzh2cZ6upTk1lU9rQfv3KW/1zhGXH9KeVNuS\n",
       "rq19rFZXV1997aurK3texyDlXLcv1TmU7jO1rWc/tra2Zs9rnKY4d3GteSU9J2iuUXqfbg+V9hW6\n",
       "FqT9losf3VekvV3vM63bV6bnH9W7T1HtOpXiTvfPStfEFGtuz6TPeWk80/zV8y7OU13apyk22/tM\n",
       "+6P0zkivnd5J9LxTTHWltut4u1hOsaZj0NPHSvsgxWXveyA3/9N4alvSc4SrT/NUmjNpf6394Pql\n",
       "911Lb7+otp9SbKQ1Utvm9rBVPnZ1L5fuM42R2t3dHT2X2q39NMl7/d7n33SfGj9ub3FxcdFVV8rn\n",
       "Lq+9fft2cPzjjz/aulLbevZ2ae3WdqdYS/vOtt/SnErPv5ojU9tcrOl9TrpO9XxjSnNExzPFuRt/\n",
       "jduUA1M/6N+7Pk7j2ft+pOedxqTviPW8G/809hqnk3wT4v9ABgAAAAAAAAAAAABUFR+QAQAAAAAA\n",
       "AAAAAABP+IAMAAAAAAAAAAAAAKgqPiADAAAAAAAAAAAAAJ7wARkAAAAAAAAAAAAAUFV8QAYAAAAA\n",
       "AAAAAAAAPOEDMgAAAAAAAAAAAACgqviADAAAAAAAAAAAAAB4Mjs1NeULzM7a81dXV4Pjx8dHW95d\n",
       "b25ubnB8d3dn67q9vbXnVarPmZmZGRzPz8/b8tPT49/mtc/0vlXqUx2j6+vr0bILCwtd10p9vLi4\n",
       "aM9fXl5++ffNzY0tm2JR78vFZqpLY+Hh4cGWd+Op51NdqR/0WulelpaWRs9dXFzYulU7Xi9ZXl62\n",
       "51tbW1v2/Pb29uB4Y2PDltd7ael4pjnl5shL9Z2cnIyWXV1dtXXd3993XVvzQ0vvK+Uh1+6q5/nA\n",
       "xWZq98rKyuA4xVJaW96+ffvl3+k+0hzROZnmgevX3rpSLLbjreuMSmOgsZj6Ja0trZTX1tfX7Xmd\n",
       "U+5eU2ysra0NjtM65O5T+zTVldqm8eDmQapL+zStxz25Ja1DOgd6y7d07M/OzmxdaR5oXLs5mPY8\n",
       "uq6kMUlta/vh9PTUlk1rR8p7ys1Rvc8U5+nauq65a2tZpfuKlDOPj4/t+de2qyq3TeNhc3Pz1WWV\n",
       "5oJ0bTffdd+Xrp3oHHLPS7rWp7rSGPSsU2m9Tc95uhakvNZTV8o1abzbOZr2donmnjRmbm/fM9+q\n",
       "/DNJ1fM+T7nI0T49Ojqy5d1zibYr3Xdaj7Ufzs/PR8umdUX7KM0DF2vaB2mvnmjucc8waZ+ouT/N\n",
       "maS9t3SfqW3aFvdMWuXXMa0r5Y6UpzR+3LV716mUU9v60txPfaZrQbpvt7b0vlNM/aJ/37PnVTpe\n",
       "qXzaE7X+6D2Pa1tauzVvpfF3Y6DtTn2S3ldpfS6npjjU+Zvyec94p7yU+lT/Pq0dbkz1b/U9nnJr\n",
       "wUttc7Hb876iKvexW48/fvw4OE7vM9N4a9v39/dfXVb1rh2uT3VfmHJH2vPoPOkdM/e3aTzTnrmN\n",
       "67TnTH2q8yDlB3c97fNJv5W0sZjGM8Wt7gVSv/TsJdO1k55npBSHGtepfE9c974zVDrfXXz0fuNL\n",
       "8eHmHP8HMgAAAAAAAAAAAACgqviADAAAAAAAAAAAAAB4wgdkAAAAAAAAAAAAAEBV8QEZAAAAAAAA\n",
       "AAAAAPCED8gAAAAAAAAAAAAAgKqqmn14eLAF7u7u7PmZmZnB8ePjoy0/NTU1eu729rbr2gsLC/b8\n",
       "/f394Hhubs6Wd6anh9/ata2pvGtHqkv7uOda6vr6uutabryqqi4uLuz59l5vbm5s2dnZWXtex/vq\n",
       "6mq0bGr39vb24Pjg4MCWPz09tefn5+e//DuNV6L9kO7FzRMd7+XlZVvX4uKiPa997sZsbW3N1qWx\n",
       "8/btW1ve5RadAynW0pzTfnJzLMWGxtrnz59teTeeGgtbW1u2rpTzLi8vB8euj3vzbVpb0jxp+6Gd\n",
       "Xy9J47m0tDQ4TuuUs7q62nXtNH/beeJyWtXz+1Aa9zomyrVdc0G6dmq79sP6+vpo2TTeZ2dng+MU\n",
       "5y4W9T5Tn/Xumdy8Seunxlpav1MstveWxlNzgx4rN6d07E9OTmxdqW0aO27MUp/p325sbNjy+/v7\n",
       "9nw7n9MeNvWpxlqKc5drdD0+Ojr66rqqns9RN//TeKYxUj37jjRf0/5Zc427l3Qtzc8pPlJ9PXVt\n",
       "bm7a8zonXayl/ZVKe4c0/u149z7DKL0vd59pvmnOS/M5tb2tL+XyRNuW9v5uLdrd3R0cp7alWNR+\n",
       "cOV7n4/TfHbPeun5J11b6dri8lba8+icW1lZ+eq2aa5OuT7tidL5VsoFui5NslevGubrtEfVXK80\n",
       "Pnr3vC1dp3qfYZT+vdtjpTjXdSfFeTumac1K96nzQPfAyl2v93ko0Rzp6ktzSnNgev/l1iLNn5O+\n",
       "M+wZ/zQ/0zNOD21HGs/UDxqLLpZ6994pn6d+a/8+9WF6d9bbb26Oav4+Pz+3dfVey/VLyrc631Oc\n",
       "u/2Y1pWuPener5Xe6/W+73Rt1/FLa0PvGunGIMV175xKa097PtWV3uuqlL8dnQPu3VhVjsX2fBrP\n",
       "3hyZ5nPPOtW751UaH27NTeOTnlmU6wdtd7qP1A/adldfupbOkbRPcfOX/wMZAAAAAAAAAAAAAFBV\n",
       "fEAGAAAAAAAAAAAAADzhAzIAAAAAAAAAAAAAoKr4gAwAAAAAAAAAAAAAeDKbfrzZ/aB91fMfYE4/\n",
       "RO1+yFp/rNn9GHdV/rFovZa7l94fBk8/PO36Qf92YWHB1pWupT+Crj963ko/JK7nz87ObPk0RtfX\n",
       "11/+nWIt9YOOt/tx+BQbnz9/Hhy7HwqvqlpeXrbn2zFKsZTaprGT5pQbA72v1LbUDzqG+oPsrePj\n",
       "Y1vX3t7eq+uqqlpZWRk918ZZlZ8DVTkWNVe4MUjjo7GW4tz1g87109NTW9fGxoY9r/3g7iXlDp2P\n",
       "KW+ltSXFamt1ddWe1zmXru3GQM+5uHzp2urq6urLv5eWlmzZy8tLe359fX1wnOaza1vqo3RtpXnK\n",
       "3Wsa+9RPysWiXuvk5MTWtbu7a89rnx4dHY2WTfeheSyNf8p7bf5IuUNjp43Tl7h5kK6lUk7tmc8p\n",
       "12ufXVxc2PJpXrRrUcqBac3rLe9ydIodldqusev2iikPaW5I9/n999+PntN2p/FMc0bbcn5+Plo2\n",
       "xa3WldZUNwa65qU4T3t1naOuvjSeOkfSfab80M73dG33XFD1PB+7vX1ah3TfmfYhaT+W4qeV4lbz\n",
       "derjnmdz3YeqtOfRv3exmZ69NNYODw9teXctHc80p1I/aPy4+Zxy3r//+78Pjl0eqvJ5r/cZM+mZ\n",
       "7ykOtY/Sc2Qao7Zf07NXWit0vFNec/Gh8zfdR1qPU/2tlKc0FlPb2nmT9rRpHdL8nfZbbt+pcZ3m\n",
       "a7pP5dai3vc8af678dS4TutW73OkmxcpP2ueSnPQPWf07itSn+qcmuQ5Qq+V+rhnvqc5k/YC+vff\n",
       "fPONLd/zbnXS9/Q6D9z4p7VgbW3NnlduvDWu3XN8qqvq+X259yVpbdd9ZCrfs76n/fP29var66qq\n",
       "+vjx4+i5NH+13WnOpLzX1peeI3qf3dN8d3t/bXeaMymvtf2U7iO1W9uSnmF0D93SfYcrW5XXa42f\n",
       "nnfGqvdZzsWutiONVzqvuWWS+9Q5leLDzRP+D2QAAAAAAAAAAAAAQFXxARkAAAAAAAAAAAAA8IQP\n",
       "yAAAAAAAAAAAAACAquIDMgAAAAAAAAAAAADgCR+QAQAAAAAAAAAAAABVVTX78PBgCzw+Pk50vofW\n",
       "dXt7a8vPzc3Z81NTU4Pj6+vr0bIzMzO2rru7u8Fx6jct39J2pz50dVVVXV1dvbq++/t7W9fNzc3g\n",
       "WPuwt76FhYVXtes119I+d/2S6krn1fz8vD3f9lvvfajFxcXB8ezsrC3v5on2eRqvnvt8qX5XVmnc\n",
       "np+f2/Jra2uj57QP2rh7yfS0/29nLi4uBsduDFJc632mXOPiQ2M+3cf+/r49v76+Pjh28ZHiticP\n",
       "VT2Pc9X+vdbdW1eaQ+7aSVqnlpaW7Pk2rldWVmzZw8NDe351dXVwnOa761edv6mP03xfXl4eHLv1\n",
       "OPWZXsvVVeXHU8dP54Q6PT215zXW3L2kPjs7Oxscp3mQ8nd7rynf6nzf2tqy5d0c0/HR/KpS/ta/\n",
       "d7kpzU+Na+1z5dahquGcm2TtfqltKV7c2qJrR9qnpLanfnptu77m2j37t7R/Pj4+tuc1Ft18Tn2i\n",
       "7U5r6vb29ug5jcO3b9/auo6Ojux57Qf3fLWxsdF1rbRupfFs4z4996U5pTnS5czULl1v0zqU4qON\n",
       "1bQGprVA51DqN7eX1LU7rZG//PKLPa9cnGsfq59++qmrfMoHrZSH0rVOTk7scWtvb8/WpXuYSfZj\n",
       "GgspP6f9cM9zoeuDqjx/07VVO4fT2Kd+0ByZ4sPVpzGf2paupTnZ9WPKU3qtNGbtvaS6095OpX5x\n",
       "OVrnZ+/7DbWzszM4/vXXX0fLprVd8216lnfPcjrfUl0pb2nsuLUj9ZlKz6Su7RoLKTbSmqd/n8o7\n",
       "2u5UV3qOaP8+1ZXWY43FtBd0z3qaGy4vL21d6Z1Gz3vdRPNt2m8dHByMntP7mnSN1PhwefKbb76x\n",
       "dWnbdH+m3DsLva8Ul67PqvKzvbt2knJHOt/uqdN6mvJa73cc9wyke7k0B9Le7498B6HPIZO8g+h9\n",
       "F570fsf5I+t2eU/va9LvpBoPrt/StXQ805xxscj/gQwAAAAAAAAAAAAAqCo+IAMAAAAAAAAAAAAA\n",
       "nvABGQAAAAAAAAAAAABQVXxABgAAAAAAAAAAAAA84QMyAAAAAAAAAAAAAKCq+IAMAAAAAAAAAAAA\n",
       "AHjCB2QAAAAAAAAAAAAAQFXxARkAAAAAAAAAAAAA8GR2ampqogrm5uYGxzc3N7a8u97t7e2ry1ZV\n",
       "TU/779/X19eD45mZmVdfWy0sLAyOZ2dnv7ptDw8Pg2Ptw962aT+5+lKfah/Nz8/b8ldXV/Z82/bF\n",
       "xUVb9vz83J7XfnP1aVml45P6OJ1vr5ficmVlxZ7XOZRizZ3X8b6/v7d16ZxRj4+Pg2M3pxJtd7pP\n",
       "R+9zkjxU9XwMz87ORstqnyiNxYuLC1ve9enGxsbgON1natuvv/46OF5bWxstm+a6xnWaB5eXl/b8\n",
       "3d3dl39vb2/bsr3r2Obmpj1/cnIyek7HJ8Vtalsao9bOzo493/bZa+p2eVL7XOtWKa9pDnX9lvKt\n",
       "tiWVX19fHz2nfZTiMsX10tLS4Pjg4GC0bGq3rr/Ly8u2fJqjrRSXeq20duzv77+6XWndcPm26nnc\n",
       "6v6sldY0HS+XA1+j7ad0n3ptpbF2fHxsy6c52nJ99hraNnevKS51PNO8ODw8HD2neSitkWmPq/fl\n",
       "6kt16RxKc8qNt8bO77//buv6/PmzPa95z60Nvfk53WfPHjfNqTTeGrcuD6a1QK+V5lR6LlldXf3y\n",
       "7zSXU57SOZfWrZ7ckcqmZ1rt8/a+VRrvvb29wbHbu1VVvX//fvScxmnqsw8fPtjz2na3D0n3qfuI\n",
       "tK65PlVpL5Dymj7TuLaltaB3/U25pae+1KcqxYcbA33fkXJqGs+PHz8Ojl0uSvNT15atrS1bvm17\n",
       "2qOmWOudgy42T09P7d+q9A5Kz7t7TeN1dHT0+obVH/tM2rt+u3dtaTx1zUt5zj2z9r5vSv2gce5i\n",
       "LcW15o40x9L59l7TtVN+1vFOsen6ree9elXe82jb3d4+7e203T/++KMt754z9V1beiZNsabj/e7d\n",
       "u9GyaX+lceqevaue30tL90O6jqi03up4ujU1zYHetSDltVbq4953Z2nv3/OePsV52kO1eS3NvzQG\n",
       "2pY0/m490DyW9urp/Yiux24M0rOcti31scvJvd8yU6zpeVc+XSv1g3Lxwf+BDAAAAAAAAAAAAACo\n",
       "Kj4gAwAAAAAAAAAAAACe8AEZAAAAAAAAAAAAAFBVfEAGAAAAAAAAAAAAADzhAzIAAAAAAAAAAAAA\n",
       "oKqqZh8fH22BdP7m5mZY4eysLf/w8DB6bmlpaXB8dXVl67q/v++61vz8/GjZqakpW9ft7e2r60r1\n",
       "aZ9NKo1RS+9DabsvLi5s+ZmZGXs+9VNrYWHBnr+8vBwcX19fj5ZdW1uzdd3d3VGT6n4AACAASURB\n",
       "VA2O5+bmbPnUb8vLy1/+nfosjZeOwfS0/+883DzQc3rfKo2ncvPZnat6Pn5pDE5OTkbPbW1tDY7T\n",
       "eKW41L93sebOVVWtr68PjlPecm3X3JH6THOqWlxcHBy7nJv6TPshxVJP/ta5r3Z2dux5nXPHx8e2\n",
       "vFvHdD6m+Zz6IY1hK61Teq2VlRVb3uUWnb/pPlNu0ft0sZZiQ++rdy/QanN3Vb6PlN81dlx9aX5q\n",
       "Lkjjn+K6bUtaI3W8Dg8PbXk3Bj155qVrK43b09PT0bKbm5u2rqOjo8Gx5muVcpHeq5PGa29vb3Dc\n",
       "u261NG5Tv6R5oLHo5lja2+m6luLcjXfv/inl557YTXGr10r7FNf2X3/9dXC8sbFh60r7MW2bG7MU\n",
       "G73PhUkb92kdSmuB5j03X9N9fvvtt4Pj8/NzWz7ljrZtKT+nfvjxxx8Hx5rn1O7u7ug53dulHJf6\n",
       "TWPx7OxstGyKHf3blDvcPNG5na6dzmt9q6uro2XT/NT8nfKWG2+dn998842tK61TmqdcXkvrjs6R\n",
       "lNfS+5S2vhS3aQw0tlKcu/NaV5rP7vm3qv8dlaNxm9apdq1IcyLtn3W807VdztUcmuLY5cCqqs+f\n",
       "Pw+OXa7peS9XlePYPStoO1KfpTHSuHV93Btnve9aW5o/032kPtW2uL2DW6Oqnj9Hpn5Jz+btvbl1\n",
       "oyrnIf37lOf29/dHz+n87N1vKZ1Tbn+dnpd1TXTPCVV+v67jnfZPb968sed13XOxmeavnk9j4J7d\n",
       "dU3sfR5Suk65MUv74V496/ek32F0zqW85uj+KcV5WlvafJ3q+iOfC6v8mPY+R6R365r/3ZhO0u6X\n",
       "uDHofUecYlHzlBuzFIfalknWUP4PZAAAAAAAAAAAAABAVfEBGQAAAAAAAAAAAADwhA/IAAAAAAAA\n",
       "AAAAAICq4gMyAAAAAAAAAAAAAOCJ//Xk6v9h8PRj0Prj0i39IXhX9jX0790P0+sPoquVlZWua19d\n",
       "XY2e0x8O1/tW6Qe45+fnB8fpR7Ed/XHu1C/pB9rbeJi0Lo1F1y/px9e1rt4fHnfXS7HiYqOq6uLi\n",
       "YnCc4sPNE/3h+EnnlNbn+i31mf7tycnJV7frl19+GRyn+3Q/Ql/1/D7dnEr3qXnn7OzMlnd9qnX9\n",
       "9a9/tXWl2Jmbmxscu/vc39+3dSnNSyqtFW2+WF9ft2V1zigdz9QvLj40j+3t7dm6Ui5K8dNK7Z6Z\n",
       "mRkcpz52/Xp0dNR17UT/Xsek51qXl5eD49SHPfuOlJ9T7tBYdPeZ6tLzHz58mKhtOzs7X/6tfZjq\n",
       "0thSbsy0rpSf03qsbVldXR0tm+5T/zblraTth3QfGxsb9ry23cVSld9jbW9vD47TPjHt13QtOj8/\n",
       "Hy2b5vPW1tbgOOUtXbdaOn5ra2u2rs+fP9vzx8fHg2M3x1Jc63i6+6jy8aN/27OevuZabp+S1mPN\n",
       "x2nPk/LW8vLyl3+757iqPN81HnReuLJKn1l0zUzlVZvX0rVTbtHnzLQPcXsoHR+Xb6tyXtO9/unp\n",
       "6WjZtB7rPNBcolw/aJ9OuufRHOtyZKL9kOazW8e0Xb2xpHT8Njc3R8umvbqOZxqDFGsHBwdf/p1y\n",
       "Q5qf2vZU3uUqHYO0dvSuiWm/5uh873kHlfJzGk+dI6lf3Fp0eHg4OJ5kvKqqvvvuu8HxTz/9NFo2\n",
       "zSltt+4zlBtPjeve5wrVE5tpPHvfT7pc0/s+uvedouuX9Fyg47O7u2vLp7hur5f2/X/ke56Xyre0\n",
       "z9La8P79e3te90xu7Uhx+7e//W1w3BubLd2jpD1P2str291ewO1JX5Ji0+15NEemfWKiseXGIPWZ\n",
       "tqX3PZ/qWRNTn+r51G8udnXdmeSdv7Ytle3d46b9uMstumdN+4oUH5p73J44jY/WldYa12+6V0ux\n",
       "lPKatn2SdxC95d2c4f9ABgAAAAAAAAAAAABUFR+QAQAAAAAAAAAAAABP+IAMAAAAAAAAAAAAAKgq\n",
       "PiADAAAAAAAAAAAAAJ7wARkAAAAAAAAAAAAAUFVVU0tLS4+TVDAzMzM4vrm5seVnZ2fHGzM1NTh+\n",
       "fPRNu7+/72rb9PT49/KHh4euay0uLtryrj69z3QfqW1qaWlp9Nz19bX9W72vu7s7W75njObn523Z\n",
       "dJ8aO67fUp/qeY0Vtb6+bs+nfm1dXV3Z871zSuPJnUvjmeJa2+Lms5tvVVW7u7uD462tra9um96X\n",
       "mwMvlU/nXR8nWleK8/Pz89FzZ2dng+Pl5WVb1+bmpj2vfbqwsDBaNvXphw8fBsdpTrjYqaq6uLj4\n",
       "8u+VlRVbNtH7THPKzXcdv7m5OVtX6rc2F6U+SXlK7yvlXOfk5GRwnHJDarvW56T5dnt7Ozh2cybV\n",
       "p+0+PDy0dX333Xf2vN6nW4tSHKZ1rFcb1+38eom2LfWx2wtoH6ccmPKz5gPNi+7a6Xxan9OYtDm0\n",
       "d++mdP6m+tx5PZfmWO865frNrStVz+dzynOu7Ts7O7Zule7z+Ph4cOz2Ndvb27YujevLy0tb3t2n\n",
       "rjtpL5Dyb+qnnmtpu9O1e+Z7itt0/ttvvx0cT7Ln2d/fHxyn3JDGu40f3R+r3377zZ7/+eefB8er\n",
       "q6u2vJsHOqdSTu2NRbfmpn7QuE3PER8/fhw9d3R0ZP82XVtpPEwSa6enp13lXdt6n5d649qVT3t5\n",
       "ja20v065o60v3afbR7zUtsTlIt0vbWxsfHVdVc/HYG1t7avr0vU3rcftvezt7dmy6doa56lf3Jho\n",
       "n6S60h5X55Rb19Lzr45P2ndOci2V9v4976DSO8BJnkGVjvWk73l63jmnvKV5Kt132hO3fz9pH2q/\n",
       "pTno3n9oH6XY++mnn+x5nZPuXtOzucZt2nf++uuvo+d0vP/0pz/Zunq/CbjxT/sQXV/TPsTNX13z\n",
       "3P6oKucp3We6tvXGde87C9XGR5p/aa+uuSfNA7eP0XNpfqYxaPNeus+0t9O2pFhz67G2pfdbiNI5\n",
       "5a6d9m693x+d3r16GgNte4pNp/dbhmsb/wcyAAAAAAAAAAAAAKCq+IAMAAAAAAAAAAAAAHjCB2QA\n",
       "AAAAAAAAAAAAQFXxARkAAAAAAAAAAAAA8IQPyAAAAAAAAAAAAACAquIDMgAAAAAAAAAAAADgCR+Q\n",
       "AQAAAAAAAAAAAABVxQdkAAAAAAAAAAAAAMCT2ZmZGVvg+vranp+amhocPz4+2vLT0+PfrO/v7+2x\n",
       "mp2d/cPapmXV0tLS4Pju7s6Wv729HT03Nzc3OHZ9UlW1urpqz19cXAyOHx4eRsum+9T7SuPprlVV\n",
       "NT8/P1q36o0d18epLh2DhYUFW17HX52enn7599rami2b4lrvK81RR/t8cXHRlk/xsby8PDh2Y5Da\n",
       "fXh4ODhOseTGqKddVbkfNNYuLy+/uq7eHKmx2drZ2Rkc39zc2LrauHyJjtH5+flo2RTXqW7V5oaX\n",
       "tG3f39+3ZTc2Nl5dV9Vk65SOZ4rbpM3fm5ubX92uqjx/lcvJmvN0nVFpnVJuTqW1QtuWxtPl77Oz\n",
       "s8Hx+vq6revTp0/2vO5LUtuc7e3twXHKa6nf2v1c2ttpXWk+u7yl10rrbYpjnXMuN52cnNi6dD1O\n",
       "95ly7tXV1Zd/b21t2bK945n6xa1FOt/S+Pf2gxtTN9ernueONGfcHkr7rB2Pl6T71Pnsyqf519Nn\n",
       "VX48ta601qd958rKyuDY5fsUtxqnum9RaW1p255iKeVvvVbaOziah1Ifp2u1sXZwcGDLvn//3p7/\n",
       "5ptvBsepvrdv346e0zmU9rxpv6Zj4PYOaX+la7vG8SR641xpPLg10u29q57noTQPXKxprkhrWnr+\n",
       "1fhw72ZSn+n5NAa7u7v2/PHx8Zd/p/tMbdP7SvnerT06h9L4pzmn65LLRS4OX/pbfb5W7V4ijVei\n",
       "8ze953PzQNuie32V9h26XrvYS+uxxkbaC7j8rGtBisv0LK9/7+IljbfmjpS3nJ73MlU5N+ge2M2Z\n",
       "tE/U+Zn2/j3vVtPcT+9SeuekK6/rcdqHpLbrfHd7B31nqI6OjgbHab67ftN9ZFoD09qi3L4m7SN7\n",
       "v5X0fHdJ95nycc/76/Rspu1O61DP96yUb1NdOn/T+y+XkzUPpbrSfG/zdcozaTx1jNLeweUOja3e\n",
       "95VK7821LT1H6PxN9+n6VWOrd7+lNHZc7KY51fs9wsUa/wcyAAAAAAAAAAAAAKCq+IAMAAAAAAAA\n",
       "AAAAAHjCB2QAAAAAAAAAAAAAQFXxARkAAAAAAAAAAAAA8IQPyAAAAAAAAAAAAACAqqqaWlpaepyk\n",
       "gvv7+8Hx9PTXf5OenZ0dHD8++qY9PDzY8zMzM4NjbWsPrWt+ft6Wv729HT2n9zk1NWXrSu2+ubkZ\n",
       "HK+uro6Wvb6+tnVpny8sLNjyabwvLi5eXVb7WOl9un5ZWlqydV1dXXVdW8dMtf02NzfXdW2l8ZDm\n",
       "QTrfSmOQ5pRea3FxcbRsip3z8/PB8V/+8peua7fu7u4Gx2tra7auNKd0frvyJycntq7l5eXBcYol\n",
       "NwYHBwdddaV5oLHm8lbKUxpbKdbctaqGczLNqTQGGg9pzrh+1VhIa4HLx1XDfk3zL9Wlfa7zQrm4\n",
       "bnN3VR7/09NTe15j0dWX+lTXsXSfjuZ+vW+l65DS2HGxlOav9lGKj9S2Nj5++uknW1bz9/r6ui3f\n",
       "k59TO9N81/NuTU3rkM6BtDZoPleXl5df/p1yYFv2JWm+K9evel9pH5L6QfO320P15PqqnJ/dtXRO\n",
       "pT5Oa2TPupb2HR8/fnx1XVU+1nr3sOlaOt7u2mk8dX5ubGzY8mdnZ/Z8m++Pjo5sWbcnrara3d0d\n",
       "HH/zzTejZdMc0dhKa2TPOnV4eGjPpxypeS89+7nx7n12Tm3T9d3N95RvVepjdy2dn2kvkNZE3a+7\n",
       "a6f5qfeVxtPlNV0n0n4rjafGvWtbmiNqZWXFnk/re48033VtSf3i1mNtd7p22gtofa6fU7s11nrG\n",
       "LM2JdJ+av7e3t215l5v0PtOc+SOfO/b29mxdmmsmaZuuiWm80nqrY5Ce7RzNQ+mZx/WD7nFSXem8\n",
       "1ueer3Z2dmxdmtt7n+1U+/dpvqb1WeM05UzXD8fHx4PjtO9Mca17SRdr//jHP2xdOke+//57W96t\n",
       "LdpH6T6Tnnyv70ZVz3vYqqrPnz+PntNckK6d4lZjp3e9b2lcp+eOtPdr4yPdZ3pm0bieJBfpfaX3\n",
       "I2lP1Jr0+1Lvs7mLa21L2gv07v3SuuZo7pgkr+l9Tpo7tM/dO43e7wtpPF388H8gAwAAAAAAAAAA\n",
       "AACqig/IAAAAAAAAAAAAAIAnfEAGAAAAAAAAAAAAAFQVH5ABAAAAAAAAAAAAAE+mFhcX7S8opx/Y\n",
       "1h+e7v1B7tbS0tLgOP3IedLzQ9bT0/5buv6oud63cv2gP3Kdfhg+/ci1WlxcHD2XrqX3lcrrD3K7\n",
       "8zq+yv0oedXz8by7uxstm35IXPs0/dC8/li7asc7xVK6lsZa4mJNxyf9KH2ac1tbW4Pjg4OD0bKr\n",
       "q6u2Lp2P6YfmXVyvr6931ZXmlP69G5M03joGy8vLtry71sbGxuD46urK1nV2dmbP63hfXFyMlk05\n",
       "T3NFGoN0vo2f09NTWzbNT51zqbzLRWtra4PjtOal+d7mxd65r3SOuDlT5duufZDG6/Ly0p7X3OP6\n",
       "JfWpxtrx8bEt7+aotiPlrTTfdV1y5VNc6zqW5vPc3Jw930q5XutK89/Frt5H7/iqtFdo6ZqltB/S\n",
       "tVMft/GT8rPLt1XP81SKPbeu6fik+Zz6WMc03Yujc2aS/Zi2Q/cGKuUt7afvv/9+tGzqs/fv3w+O\n",
       "0z7EzTn92xSXvXt/17a0l1cpblN97Rzd39+3ZXd3d+15Hc83b96Mlk3PEUdHR4PjFEtp79fzHJHy\n",
       "sa4V7nmpyudvXbtTLKX5u729PTh2/XJycmLr0vtM/ebynq4FPeP1Et37u3tJ+Vjblp69XX26LqX7\n",
       "TM+N+hzo9p0p5+nfpn5Jea+N6zSfE+2ntH9z86DnGbPq+bOf0jVRc1Mr9Zm2O83n1LZWyvV6Pl3b\n",
       "zUHNkWnOpP3a3t7e4NiNWcoNOl6pbW5t0T5Kz0NpHmgOnSRv9d6nW1u0rrTnTG3TuHXPRKku7dP0\n",
       "jiGt323OTXGZ+lTjI8Wmy2vaZ+na6Tnz999/t8ettA798MMPg+O0F3D9oO1O+8retcDtx3qfC1N5\n",
       "1w+aKyZ9p6g50d1nmiO6V0hzMGnHO82/FNcaO6ltrl+1Lb3vmFTblvRMmsZAxzOtx25voX+b9jxp\n",
       "ndL63Jil3KF/m/qtZ51K9znJuzXVuxZMsr/i/0AGAAAAAAAAAAAAAFQVH5ABAAAAAAAAAAAAAE/4\n",
       "gAwAAAAAAAAAAAAAqCo+IAMAAAAAAAAAAAAAnvABGQAAAAAAAAAAAABQVVVTCwsLj67A9LT/xvzw\n",
       "8DA4npmZ+erG3N3dDY7n5+e7yqu5ubnBsba19fhou+HZ+ampKVve9dv19fXgeGlpydal96Fubm7s\n",
       "+Z5rXVxcDI5Tv8zOztrzbTyk8UrX0vFz8ZGupePXW14tLy+/uq40Xjre9/f3trzrt9451ev29nb0\n",
       "XMoF2pbFxUVb3tX39u3bwXHqs95+cPWl2NDx2djYsOWPj49f3a7NzU17/uTkxJ7vme/v37+3denf\n",
       "prXj8vLSnu+pK/WpxlbKqS7WdE6ltq2vr9vzbV6bZP2sqlpZWRkcHx0d2fJt3lJXV1eD44WFBVtX\n",
       "Gk+dJ27epByq51Pb0hxtpftYW1uz53V9dzlSyypdK9J627Nep7jVulK/uFjS8XJ7sde0rSc2e6+V\n",
       "5sz29rY93+bUNL5pPDVuU7/0rFM9e7eXnJ6eDo7Pz89Hy6Y5o+1O9+nms65pKZektvU846Q85Pro\n",
       "JW6MdD5ubW3ZutK+QvvB7S3SfWjOS2Og81m18dCTy1/y3XffDY51zWylOaKx9ttvv9nyqb52DFIs\n",
       "pb3dp0+fBse9z/ItHc+dnR1b197enj2v+zGXt9K+U+ty61CVHwNtx9nZma0rrYm6hrrn73Sf+re9\n",
       "z8ut3ncQbg9T9Xw/7fo4xbW2ReeYSnOqNWnu0OfGtEa6PKnjN8lzftXzfYlrWxpPjZ30bN6OQSqb\n",
       "nr21bSk23dqiuT314R8Z5ykPae5IbXM0rtP6nOK2p74UtxoPaR1y78e0rpQbUp/qs7mLpdXVVVuX\n",
       "/m2K27R2tP2a+qz33dnBwYEt79qu+fvvf/+7rSs9A/3zn/8cHLt3M//5n/9p69I9rNvbVfn5rnM7\n",
       "7VFT7tD9txuz3n3FJHNK9zgpd6T5rufdfab5q2tF73ca1fZD7/sPpXGa4tzFtcZOWiN7+mHSd+Ha\n",
       "tvT9wq17WlfvOqS0H1x9vd+y0ni6ftM+T3vUNN/1712u6X3fld6Fu7zH/4EMAAAAAAAAAAAAAKgq\n",
       "PiADAAAAAAAAAAAAAJ7wARkAAAAAAAAAAAAAUFV8QAYAAAAAAAAAAAAAPOEDMgAAAAAAAAAAAACg\n",
       "qqqmlpeXH12Bh4cHX8HU1OB4ZmbGlr+9vR09Nz09/J69sLBg67q/v7fne+h9qMfHYTfd3NzY8ktL\n",
       "S6Pn5ubmuupKbdN+c/Wl8by7uxscu/uo8uNZVTU/P//l31dXV7Zsupa2Te+7NTs7a+vSPkr9kiwu\n",
       "Ln75d5oDZ2dn9ry7r5e4+OiJjarhePVeS+mcUdqW9fV1W97Fh45fOx4v2dzctOc11tyYatnUthQf\n",
       "Lq9pH6ysrNi6kvPz88HxwcHBaNnj42Nbl8bG9fW1LZ/io+3XtBb05uPl5WVb3vWr5pY0J9L5Nh5S\n",
       "bPTmhlSfmyfabhcbVX3jWeVzTcrH+rcpPtw6pef+yH1FVdXp6enouXQtHQPdO6g0Bq5upet1GpOe\n",
       "vd3q6upX11X1vN/cvOjNQymnpvraOdc7vknaO7i8pnPGxWVVHgM97/ZcaT+m/ZCu7fKazpE0Bqlt\n",
       "FxcXtv5WmiMaO2kd2tvbGz2nsZDyc9pf6325XNKbOybJz1XDfkrjmc7rPHjz5s1X16X7p8PDQ1s+\n",
       "7Uvbfkp7mpQL/u3f/m1wnOpzOfTTp0+D4zReaZ/y5z//eXCsc6yV1rz9/f3BcZpTrm29z/lpvdXc\n",
       "4taOy8tLW5e2JT2rubbp36Y1LY2n5gO3hqb3ALu7u4PjSdaCqmFOTrHRO546/5WLXZ1Tae1Ie6ae\n",
       "fUxPn1Xl8W/Lb21t2bJurr/UtpQz3VqkcZ76OOWanvKpj3VNTPPf0T5IcZzWb1333B4pzWdtS9pv\n",
       "uX1KygUqvZvROeLiPO2X9f1Vyg0pFtt8n+477e10zk2yH9PYSfuQjx8/2vMnJyeDYxdP29vbtq5v\n",
       "vvlmcJz6xeUqXRPTGKQ1VMfbxWaan/ouLs13l1t0X5FiI92nnnfl0332vpfvec5Meat3LZjkG4L2\n",
       "eaqrZz826X3qOpbqc2PQ20eTvCtXKda03b3P8q3ePUxap3SO9jzD9J5X9vtSV00AAAAAAAAAAAAA\n",
       "gP9v8QEZAAAAAAAAAAAAAFBVfEAGAAAAAAAAAAAAADzhAzIAAAAAAAAAAAAAoKr4gAwAAAAAAAAA\n",
       "AAAAeMIHZAAAAAAAAAAAAABAVfEBGQAAAAAAAAAAAADwhA/IAAAAAAAAAAAAAICqqppaXV19dAVu\n",
       "b299BVNTg+OHhwdbfmZmZvSc/u3s7Kyt6/HRNv1ZfYuLi6Nlb25ubF16n3qs3H1qn7qyX8P1y/S0\n",
       "/28G5ubmBscXFxe2fGp7Owbp2gsLC/a8jpEbgzSe2u7l5WVbPmlj9ezszJZNcavn7+7ubHkX19pH\n",
       "6dppvmu/uTmaxkC5+0jX2tjYGBwvLS3ZulKsab+5a8/Pz9u6dA6dnp7a8m6MVlZWBscpNlLbDg4O\n",
       "Bsfn5+ejZdP8PT4+Hhzv7u7a8inWrq6uXn3tVJeOX6rPxY/2ae/4q9XV1S//1vyrUtyqtg9f0pP3\n",
       "Uq6/vr5+dV1J73j25vuWxkK6j9QPmseOjo5Gy97f39u6esun+GnjQXOm0hzockOVHzM9l/Z2aX/V\n",
       "M2Zpzujf/pH7scvLS3s+9YOOZ4pz1w8alylWNJ+rnn1sei5oc2BV7jd3Le2D3rVeadtdH6d9h0pt\n",
       "c3sizSspN6R1StcCd59pPPVvU/m0Dm1tbX35dxqvk5OTrmu5WEvt0r1cWm/TnGv7LZV98+aNPd87\n",
       "3w8PD0fP6T4zxVrKHTrfdV/bSjlSn7fSM46rT9e4tE9s4/Ilmqdcv7j+r3re7rT3d/epeSpdO+U1\n",
       "nSeu31Kfap+l9Tidb/vJxVlVniP6vJRyqsuhvbGWrqVx79aWNJ5aV0/eSveR5qfmhlSfmwfaZ1q3\n",
       "SuuU1ufmWO/8TNd2656O56Tv7XSfOUl+1jUxrR09uSPFRuoH7XN3n+m5UOuadB60Y5D6LOXvb7/9\n",
       "dnCcnq/T/ruV7vPnn3/uupbb86Z+0DmS8txf//rX0XMa1+m9na4NSvvJ7S3TPlKlPa/LHboOpVyf\n",
       "8pTGYs+3EKWxkGItvaNopfmX+kHXgjRmPe/KUx/37BV636Up7adUn+tXHc90n+l9h46Ri7U03qlP\n",
       "lWu71tWTT19jkvvUHJqep+33RPuXAAAAAAAAAAAAAID/x96dNUdyY9na3kEGGSOHnKSqsm5r6///\n",
       "p9q6TKWSMjkzgjN5bmj5wVcy1iIU+d2c8z5XcoMTDgc2NuDuSov/Z/ABGQAAAAAAAAAAAABQVXxA\n",
       "BgAAAAAAAAAAAAC84gMyAAAAAAAAAAAAAKCq+IAMAAAAAAAAAAAAAHg1TieMRiNbvrMz/AY9Hvsq\n",
       "X15eNpY9PT0Njh8fH21dk8nEluvf39/fbzw33efe3t7g+O7uzp7v+kHrSlLb9D51TFrPz8+2rvV6\n",
       "/f6GVb6Xts9TbDw8PNjy3d3dd5+/v79v69I4TP2Syts+13aqdJ/L5XJwfHV1Zc/XedPS2EltS+Va\n",
       "n4tNF4dVVYvFYnDcG3stHZ+bmxt7fiqfz+eD49Vq9dcaVj/GmtatptPpxrLedqTzNXccHh5uPDeN\n",
       "j7bb5duqqk+fPtny6+vr7//tYrwqx63mKdfHVT5Xte2qyrkhrVM9OdKtn1VVs9lscJxyjcvf+rdp\n",
       "HUo5V+PBxabeh9LxTn18e3u7sUzvS/OSSvlY+821zbWr6sf5mWIt7ZnaMbq8vLTnamyk8Xf9pn2W\n",
       "5uvFxYUtd3lK9e5h05ik+GjjPN1nGk+dI2lNdXMw/a3SfYjS+ezqT2uBri2pX1ye1NyRxjONkeZc\n",
       "d36KNV3HUt46Ozt7d13b7jtPTk4Gx278Uyz9+uuvg+OUl1J8tPeWxjPdp7bd5ZLffvvN1qXzLe3t\n",
       "0n2mda+V9jCaQ9OccntijVMXl1VVHz9+tOWnp6eDY7evSeuUjkHah7h+0DhN+620J9Y85fo4jY+u\n",
       "O+kdhMtFmjtSn6X9t845t0b2zPWqvCdO5e2cTPeR9nYq5SKXJ3V/leZ+ig/tN9fPad3RtqV50MZa\n",
       "eifUu+dN57vr6RzQvKPSGnpwcGDrb/W8M6rKsemupXHbs468Rf/e5Zq059HyFHsup/bmwLRX73lv\n",
       "lN6laB5K61Yao/bve/dbKvWTcvNAc316l5Zyh649rt/S/OzdE7sx1f1vymtp76f35errrSvFh5uj\n",
       "WnZ+fv6X66r6cc65/J3mgI5n2jukMWrne9o3pD7VtqV837MfS+Of9iltP6T7SO3ufQ/o5pzm9tS2\n",
       "1A/aby7P9T6bpfXY7Zn1b1NcpnK9LzcG6VlbpfF3+BfIAAAAAAAAAAAAAICq4gMyAAAAAAAAAAAA\n",
       "AOAVH5ABAAAAAAAAAAAAAFXFB2QAAAAAAAAAAAAAwKux+9HpqvyD2S8vL4Pj9IPMen5Lf0janVuV\n",
       "f+Raf6Db/bh0+hFr/dutfnha2pXuw/0IfdWPbXc/Yp5on6d+ST9q3/ZTirX0g+opFv/quVX5h8fT\n",
       "GKV7ax0cHNhy/dF692PtVb5t0+l0cJzG62fOg9Rnep9pzBaLxcYyjduUIJnkogAAIABJREFUOz58\n",
       "+GDLtZ/cmPWM/XvOv76+3limcyTdZxpvrW+1Wr37XKWxcXx8bM9P2lhMOS3FrcZaOt+Zz+eD47QW\n",
       "pLa3bUu5PuUOja2UO7RfWhoLqc9SfGg/ufNT7lgul4Njdx9VVTc3NxvLxuPx4DjNz9SnWv7169eN\n",
       "56bY0H5I8z1J/drSftC1RLlco2M9m81sXSnWrq6uBsc6hu5cpeOV4jj1YVuezk1rnubUyWRiz3fx\n",
       "oX3u5kRVnlN6b24PlfZX2u40L1zbNTekWEpzSvvBxUeKHR2/dG1XruuQmwNVfl9RVfXly5fBsZvP\n",
       "h4eHti4dv9QvqW3/+te/3l1Xouuay2vpPrXd6T7cHlaltT7lFo0dt7er8uue9nlaC1Jc617A3UuK\n",
       "ay1PbXM5V/so7e3W67Ut135zc6p3/mqeU2m8W6nPUl26trjxPzo6snWldan3/HbtSXuBtC/R8e7d\n",
       "87Z0LUjPaoley62haT3WOdLzri3NiRTn5+fng+MU547eZ8qpKX/rvbl+Sc8JOqe2ecbtjZ0Ut7rn\n",
       "0b1Gz7V735W6MdJrpbpT3Gp9GnutFLc9868qj0G790j599u3b7Zc38WkMXPvIbQtKZd8/PjRlmuf\n",
       "u7UoXUv79PLy0p7/P//zPxvL/vu//3twnJ7V3Byp+rHP3Zj2vmtJ+y3XbxqnqY/TfWrucPOm531E\n",
       "VX43k56P23tLuSPlbx2D3pza0jUu5Zq0T2mvlZ7j0zNJ77tT1686t9MYpPehOifdGKT5q32acqSb\n",
       "BxqnKX+nMdI+d/2WcoHGVopb+1xo/xIAAAAAAAAAAAAA8P8MPiADAAAAAAAAAAAAAKqKD8gAAAAA\n",
       "AAAAAAAAgFd8QAYAAAAAAAAAAAAAVBUfkAEAAAAAAAAAAAAAr0az2ezFnfD8/OwrGI36LmjOf3kZ\n",
       "NmVnx3/f1vMTV994PLZ/q/1wf39vz9/b23t/w4Le+9zf399Yltq9u7s7ON52DNrynnPfw8WS64O3\n",
       "/vbu7s6en/phMpl8/2/tQ9V7rfV6bc93c1T7Id3H09NTV7k7fzab2bpSP6m2j7et6/j42JZrPnB9\n",
       "fHt7a+vSXJBy5nw+31j28PBg/1al/K354Nu3bxvPvby8tHVNp9PB8cHBgT0/lbf9lOZMyrc3NzeD\n",
       "4954aWlspGun8ouLi+///fHjR3tuymsq5VS3HmifpdyR7lPb7tbc6+trW5e2ZZt9irYjzc8Ui+14\n",
       "VvWPWUv7NOVnHTO1XC6//3e6D801Lv+mtrXXrfqxj1S6lo7/arXaeG7a22ldqY9TbLbXS2tDmp8a\n",
       "i6lfFovFxjKNjTT+ms+V9rm7l5Q7NB+nfapbB3W+pT5Ofapj4PJDykO9a4cbI+2DtKaluD46Ohoc\n",
       "u7yV6tLxPjs7s+enHNmOYe8eVWmfu9yR4lbnSG+uUVdXV9//+/Dw0J6b4lqfG3pj05WldSbFos5v\n",
       "Nw9SbGhdqY97npe2yUNVP+YW1y9pXdG60n26cl2X0p4n5UgdP3ftlPP0b9Nz5Lb7tVZvbklj4J7d\n",
       "td26R+ql13J7gfQsp2PUs7dP8/Xx8dGW65xKec49y+vYp2untuv4u7alOaPjvc3aoTnNjX1V3pdq\n",
       "n7rze9/rpX2l2yv07u3SuzONNde2lEfOz88Hx2nOpLa3+5JUV+/7621ypv5t795eaay6eZPys87v\n",
       "lOfc+q7t+vTpk60r0Vh0/ZbyVE8eqvJ7C+2DVFfqU12v3b2k/ZXW1fv9QrX71tTHKX/rtdJe0M05\n",
       "jYU0P1N5e28p36Z+0Gu556Uqv1/Ta6VY631P6+pLzz96rXS+m7/ajpSfe2PHta33XWhvv7T4F8gA\n",
       "AAAAAAAAAAAAgKriAzIAAAAAAAAAAAAA4BUfkAEAAAAAAAAAAAAAVcUHZAAAAAAAAAAAAADAKz4g\n",
       "AwAAAAAAAAAAAACqig/IAAAAAAAAAAAAAIBXfEAGAAAAAAAAAAAAAFQVH5ABAAAAAAAAAAAAAK9G\n",
       "s9nsZZsKdnaG36B3d3ft+c/Pz+8ue3p6snUtFou/fC11c3Njy8fj8eA43efd3d3Gstls9u5z30Pb\n",
       "NhqNNp6b2v3w8DA4fnnx4bG3t/fu+ly73nOt/f39wbGLjzT2Wp7uQ+NctWOY+jj1g0rzQMe/pW1J\n",
       "ffz4+GjLtR9S2xyNtfl8bs93/aZlX758sXVNp1Nbvl6vB8cuPnQ+q6urq8HxZDKx59/e3m4s05yn\n",
       "c0KlvHZxcTE4Pj09tec72paUn9N4t/VdX1/bc3vjMPWbK7+/vx8cp9zQkw9SHjo6OrLlvf3g5pT2\n",
       "eYrbFGvaNtcv6Voat58+fbLn6xx07dC8pFL+1vrcfZ6dndm6NF/3zJm3tHkt3afuS1LOdPuY1O6e\n",
       "uqp+HINt9lA941XVl4vc2vwe2udpfrv8oe1OdaVY0r2CO1/X0yTlQTefP3z4MDhOcZ72ippzXXyk\n",
       "HNjzTFLl9wIaG7ouqZS3tM/durZarWxduidKY5DW0DZW07kpT2ncutyRrqXrVMpDv/zyiy1v52iq\n",
       "K+0FTk5OBsfbPuO00nimch0jd69pH6l5LM2Dg4ODjWXa7jQGqc+0vp4+TtdK65TL71qWckPqB53v\n",
       "ro/T3k7XzHTttMa295aebxOXj9/Sk+/TGKR+02u5e01zRGNruVza89vYTH2c8pDO9zS+Ls71b1Ne\n",
       "ury8tOXKrTWHh4f2b9O7GOX6Qfsg5Zk0Rj3vO1Of6t+mOHZ7Rc0FKTZSufaD65fUp5ob0tzvWdfS\n",
       "/Es5UmMtPcO4Oaq5I9WVniO0n1w/pz7T8U6x5vKgtivN50Trc88wvc+NaV1y5Tp/t93baSy63JHm\n",
       "iP5t7z7Eta03byldr1M+d7HY+06x5z1Puo9Ul8ZO77rV0ryyzfuMqh/jYZt3EJpjt7lPHb+0r0hj\n",
       "pNw6lfaRWr7NOyr+BTIAAAAAAAAAAAAAoKr4gAwAAAAAAAAAAAAAeMUHZAAAAAAAAAAAAABAVfEB\n",
       "GQAAAAAAAAAAAADwig/IAAAAAAAAAAAAAICqqhpNJpMXd8LOjv/G/PT0NKxwNLLnT6fTjWUvL8Om\n",
       "PDw82LoSbcv+/v7Gc29vb21de3t7g+Pn5+eua7e0z7Rulfphd3d3cPz4+PjucxMdEzUej7vqc1Lb\n",
       "7u/vB8eubW6s36prsVjY89M8aOMnjWeisXNzc2PPd2OQxq+XxlZvPLW0T1Nb3ZzSutJ4pnK91vHx\n",
       "8cZzU+64vLwcHKf7dNe6u7sbHKc4Pzk5seWr1WpwrLnJXVsdHR0NjlNsHBwc2PI2x6b7TPl4vV4P\n",
       "jlNOXS6XG8s0d6S2uXxcVTWfz7//92Qysef2rhXp2u56Ogeur69tXWkMNB5cPPXmb7eveOvarkxj\n",
       "RfVey8VaWld690BpDFI8OGk+uzyof5v2DWnN0/t08ZLyrcZ1Ox//ijaHpmtrzlQ6Xmn8XLxoXKd1\n",
       "K42Rxq5rW3ou0PFM88K1TftgNpvZutIc03hw8//i4sLWpe3W9benbf/4xz8Gx7///rutq5ebBynP\n",
       "HB4eDo7T3iGtLW2fp7i8urqy5bq/crkmtVtjIa0NKR+0eSzFRqJrZNpbuDHVfWHKz2n91n2Myx16\n",
       "H+laaZ1yc0r/9sOHD7autL/W3OPGP80Blcaz531HmlO9e6KPHz9uPDfNAf3bNA9SP5yenn7/75Qb\n",
       "fv31V1uuz3Jp7XBzSnNk6pe09usYfP369d3nKl2v0/rdPi+ltTutHb255suXLxvLtN0pn6f3Avr3\n",
       "bkzStfT51z17p3LdR6Zrp/yc+ryV5l/vfszl+3QtleZMz7NamgOaQ9M8SNp+SGtDembReOiN85be\n",
       "Z3qOSOW9e3+nNz7cmGpdaR+S3mdprLn53JsL0vlp/W6lNS3V1a63Vf5dWspTuk/szamqjcXUZ2kf\n",
       "mdYx5WKt9716ykXtGG777lT7KdWX+rWV8nO6z57niN68ss23L51D6b1tWm91v+bmQe93lG2el/gX\n",
       "yAAAAAAAAAAAAACAquIDMgAAAAAAAAAAAADgFR+QAQAAAAAAAAAAAABVxQdkAAAAAAAAAAAAAMCr\n",
       "cfph6fQDy/r36Qe53Q/R6w9Npx/rbn8Q/S3pB7h7rqX3le7T9av++Hb60fE0Rtp2dy/pR+i1z3p+\n",
       "ED3V58b+PXr6rfeHxNN9ph97n8/n3/873Wcq17an2HRt6/0xd/eD6VU/5oOeOab0PlOuceXaBynO\n",
       "U3xMJpPB8dXV1cZze8czXXu9Xm8s01yg7VQ6Z7aRrqXtXi6X9vzz83NbPpvNvv93mp+98zfdi8vv\n",
       "eq00/m1ueMtqtXp3XcnR0dHgOM3PNE9aKTekNXGxWAyOXdt617xt2qZl2k7V02dVPuemuNU+Sn2c\n",
       "xruN+3Qfmm+Pj4/t+d++fXt3Xek+0rU0H2+zDn369GlwnGIv9Vs7pinPpLo0f6c9r5sHmo/TOvTL\n",
       "L7/Y8rOzs8GxW59TnGs8pLa5PDmdTu2xSrlDx8Ctz6ndug6lvZ3LHV+/fh0cf/z40daV1tvenOpo\n",
       "Lkj9kvZ+bVvSHrY3dlxspnbpnLq+vrbnpzzVXi+tQycnJ7ZcxzPNA7df07me+jjlUB0D1y+9e9y0\n",
       "53Xjre1I95n2uDqH2r2eSnHd+67F1ad5KO07U5/+53/+5+DY3We7r3+LtiU9e6c51Y7BwcGBPdft\n",
       "Yap+7NM0p9xzo95Xus90Lc3v7vzUZykWVXufqZ3pPrU8xYvbE2n+TnkprZH6924voM9iSteK9Jzo\n",
       "+lVzWtpX9O47Xb/1rN1VefxdftaylJd692NuPHv38un8pM3vKTZSrJ2eng6OU7+kvUcrxZrr016p\n",
       "T3vXNZcHNQemZ9Jebv1O46Nxn/K526fo+KSx7/1m5O4z5QL92zTfe97NpL3b5eWlLde2pHtx/ab7\n",
       "kpubm65rqzZ+0juDNN4aWynW3H1qWRqD9Dylfe76Jb2D0DmX9h1p/91z7bSG6hi6Pk7t0vtM89nh\n",
       "XyADAAAAAAAAAAAAAKqKD8gAAAAAAAAAAAAAgFd8QAYAAAAAAAAAAAAAVBUfkAEAAAAAAAAAAAAA\n",
       "r/iADAAAAAAAAAAAAACoqqrReDx+cSfs7+/bCh4fHwfHz8/P9vy9vb2NZePx2P6tenh4sOWTyeTd\n",
       "da3Xa1s+nU4Hx6mtqW2t1GcvL3aIfmibu5f5fG7renp66rp2anvbD6nPXGxUVe3u7m6se1s7O/7/\n",
       "pdB+Ue0Y9MaS0vtcrVZd57d0/NK1b25ubLn+vRuDFBuz2WxwfHV1Zc9396llKdZcXVVVf/vb3wbH\n",
       "7l70PtTd3d3g+OTkxJ7/yy+/bCzTOExxq/lZXV9fD46/ffu28dy0FmgfpVjryS2//vqrPff+/t6W\n",
       "61pwe3trz3fzXWM+rTPpPkej0bvrSmPQm79dfSnnqZQ7dE721t/SWEvrmhtv7fM0p1Ks6d+7MUh5\n",
       "SNdEzSXpfCeNl/Zx6hc3BpeXl4PjNPYpzpfL5eDYrUMpB+p9tfPxr2jbsk2MV/2YQ9OYub2Cxlq6\n",
       "z9R2/XsXy2kPo2OU5rPbK+h6nOZEimvNHS6e0rV0/qb7dOOt+TSNZ1oL9L7cvaS1/eLiYnCc9mM9\n",
       "z43bPpMcHR0Njt1+Pc0Bjfk0Pz99+vTu+tK1v379asu1zzVnKhfXvfuKNA90jur60EPn58ePH+35\n",
       "box0DqW60l5e+9TlyBS3mqdSH/esiWm9PT4+tuWaD1wuSnsYrSvNg/Tc2P59emeQ8rHmipTXetaK\n",
       "bdfjtJdspX7ojbV2DqbckNZblZ6vXR/rtbbdd+ocdWOWrqVjcHh4aM9346vtSOOVnmEODg4Gx25M\n",
       "0xzQ8UvXds9qeq30vJziXOtz5/fuO9J8TG1v4zq9U0xzSuOj991cT93qt99+s+Xn5+eDY92ftXre\n",
       "6VflOehyh15L54RKfaZ7nMVisfHcFLc6R9L67Oac7ofStXvfKer4tty7zqr+fWFqW5vf032m8t53\n",
       "zq5cr9X7rObalvJQehea2qJcXGuspfmZ1jGdo65fUp/p+pv2la5fetpVlWNN87XLg+la2u60Frhy\n",
       "/gUyAAAAAAAAAAAAAKCq+IAMAAAAAAAAAAAAAHjFB2QAAAAAAAAAAAAAQFXxARkAAAAAAAAAAAAA\n",
       "8IoPyAAAAAAAAAAAAACAquIDMgAAAAAAAAAAAADgFR+QAQAAAAAAAAAAAABVxQdkAAAAAAAAAAAA\n",
       "AMCr0XQ6fXEnPD8/d1X48mKrq/39/Y1lT09P9ljt7e29v2FVNRqNNpal+9zd3e26Vk87Up/1ts3d\n",
       "Z+rT8Xg8OH58fLTnJ9Pp9Pt/p/tI/aD3eXl5+e5zk50d//9SaL+onli8v7/vaosbz6rcb62Hhwdb\n",
       "nq6l5bPZbOO5q9XK1qV9luLD9bH+beqTo6MjW+7ylEpzRGPn5ubm3XWrdj5VVR0cHNjz0xh8/fp1\n",
       "cOziI13r6upqcJzGU+9Ftf06mUzsuWn+zudzW67cHNU5kOZzcnx8/P2/b29vt6pLxyjNdzcGi8Vi\n",
       "cHxycmLrWi6Xtvz09PTd1075VONhmzHQOE1rx3q9tuXab27NTetK7331rHupjzWvXVxcdLWlpfeZ\n",
       "5n5ah7Q+N/81L6kvX74MjlPOTHOqZ8/k1s+36rq+vrbnn52dbSzT+ZnGP8W5cmNwd3dn/1bnyDb7\n",
       "cS1LcyztibXtbm+QcqDeV8r3LtZ0/NK1U1zqeLvck9ZT7bO0H0vzvR3TFBtpvHXtcGPQu+dJ+Tfl\n",
       "8/Z6KS7TeGp5b75v6fil8Ur7Z10jXY5Ofdaz3lb58e7dX//rX/+y5ZoTXb5Pe1gdn9THbh7os3Pa\n",
       "X7d71LdoPLhclJ5/dDzTetwzD9L6mcZAYyfNdzfemtu3mZ9vXcvNg95n1rRfa/cd2+7tdAxSH7s1\n",
       "UsvS+KZrpXtrpX2nXiutkW4+977vSmOg+cDdd4olnb8p17h+0DyUrp32Kdqnbs+b8pDOv7QPSdr5\n",
       "u+07Yt2PpX5x/drzvrmq6p///GfXtT5+/Ljx3LR26H1uk58PDw/ffW5V/3OhG9P07KVrf3qOcM9f\n",
       "Oh/de/WqPOd0HXP7txTXel8pd6S9X5v/01qQYk3jPo2/7mta2g+prtQPbfykPWx6NlfbfOPT+0q5\n",
       "I42B5rGeON+Wywc6f9N9pL1fzzrV8yxdleeBi0X+BTIAAAAAAAAAAAAAoKr4gAwAAAAAAAAAAAAA\n",
       "eMUHZAAAAAAAAAAAAABAVfEBGQAAAAAAAAAAAADwig/IAAAAAAAAAAAAAICqqhqnE/b29mz54+Pj\n",
       "4Hg0Gv31xoyHzXl5ebHnPzw82HJty3Q63Xjuzo7/lj6ZTAbH19fXXddu6X0m6XwdA3cvu7u7tq6n\n",
       "p6eu89MYPD8/v/tcvbbS8dvf3994buozHZ+2nW9J8+D+/v77fx8fH9tz031q23R8lZsneq35fG7r\n",
       "ur29teWz2Wxw7OZBGoPeeXB3d7exTMfHzfWqqpubG1uu892N6Z9//mnr0vHpjc3WYrEYHLs+qcpx\n",
       "rVzb2hh/S2+s9cR1Otflgqqqq6urwXEaA1df6vOeuqqG/ZZyQ8rH2jadr8rltZOTk8Hxp0+fbF2n\n",
       "p6dd13LxlMZntVoNjtP67dYeHZ80Z1Ju0b93bbu8vLR1aR5Ka2jqt7Zt2odK14I0n1259vF6vbZ1\n",
       "pfu4uLgYHLsxSXNG4zCt9T37Uh0/lfaRqS3KXU/jMuXUo6MjW6794NbIf/7zn7YujYfUNjemmkNT\n",
       "H6Y51TMGaW3QPkvzwOVvvVbKS2dnZ7Zc56irL+Wt5XI5OE73mfq43a/pHkil8dR8fHBwsPHcFIe9\n",
       "0jrVxm7v3Fcaa2n/5tY9rSvtU9IY6Nri9khpvHWfcnh4aM93uUPH+/z83NaV5pyOoe5DW2l/pX2e\n",
       "ntXcWqDrq5sDVblP9XlKx6SV1mPdl6TxT3Oq3ZekuE1zTtuSxsDlD51Tad+Z9hJ6by420/Ov1vXt\n",
       "2zd7fvvMmnJm7zvC9Pzk9oq9+TvlrbT3a6VnL60r9Yu7Tx2v3n1IKnfnp2v1zhnXb9u8X36LPrO6\n",
       "Pk7jqXko5ZrUD22eTLkh5UjV+y6npTky7e16n4Hcmtv7Tinlc5dbtCw9L6fY7PlWkp5/NXbSPsSt\n",
       "kdqulAN7v7u4e0nrUO/3pbS3aMvTfaQ+1ftKc8rdq15r2+8ubb5OuSOtrzq/0xi4ftAcus0eturH\n",
       "fnA5ujdP9c7Blq6XaTzTGGjsuLb1vvPvPb/Fv0AGAAAAAAAAAAAAAFQVH5ABAAAAAAAAAAAAAK/4\n",
       "gAwAAAAAAAAAAAAAqCo+IAMAAAAAAAAAAAAAXo3TDyincv1B7fSj9T0/2LztD6brD027HzHv+fH1\n",
       "95z/9PS0sUzvS39wW6U+Sz/23Uo/9K4/5p1+3Ft/5F61P3Kefvg9/WC6cvGR+lT/dmdnu/+Xoo37\n",
       "i4sLe24az94fYHf9oH+bxsv9CH3Vj3NoOp1uPDeN9/X19bvrqqo6OjraWKZ9MJ/PbV2r1cqWazy4\n",
       "MU1x2/sj9W4+393dDY5TjtTzVYqHnmtpu10OrMr90o5hqivlNf37dG13Pe2zg4MDW1fKRantPefq\n",
       "GKXYdGuizsd0H8vl0pav1+vBsdsr3N7e2roODw8HxynXuHygf9vbx+laLtbS2q19nq59dXVly9sc\n",
       "mvpM862On3Jjpn+b4vLs7MyW69+79Tv1sbYt5cS0V2j77eTkxJ6b9ss6RilvufVb60prZJrv2g8u\n",
       "l6Q+0z7v3Qu6a6U+TnSv4OZgyh3atrTncXNOx7p3z5u4e0l1aVvSHOzZW6RY6t1fu/tM+ye9r/S8\n",
       "1POsl/Jtyt+6L0n95tYOnUPp2ulauldwa0fqM73PtFd0bdc1z+W099C2u1yU1h2ta5t9pcZtqiut\n",
       "xz3vNNJc17yWxiDN9zYWt93baVyn890zq+4N0pqX2q5j6p5Ze3Nk2tu3/ZBiKeUOnSOprW5O6fik\n",
       "Pvzy5YstT/vrnmtpn6Z87+rTuEzvcZKePdNisbDlus9Mea5nf9W7t1caq5eXlxvPTc/5ve/C096i\n",
       "rS/dZ8qRmlvSGLi8pe3edm+n3Bj0rpHp3anLuXpfaU6l+9R87O4l7WH0/UeKJdd2bXd6N5qeWTRH\n",
       "uvUgrRVpP92rnScpllJe07anPa+bJ9qW3n2IK085MOUpHYM03906pWXb5kj9ezdvdM4ojfs0B11s\n",
       "6n2mPNT7bazn+2Iq7/0m2OJfIAMAAAAAAAAAAAAAqooPyAAAAAAAAAAAAACAV3xABgAAAAAAAAAA\n",
       "AABUFR+QAQAAAAAAAAAAAACv+IAMAAAAAAAAAAAAAKiqqtH+/v6LO2F3d9dW8Pz8PDgej8f2/MfH\n",
       "x3fXNZlMbF1PT0+2fG9vz5a7a6uXl2E3pWu7ftO/TX02Go262ubuW89Vd3d3g+P9/X17foqP+/v7\n",
       "d7WrKveptt1d28XZW9J97Oz4/9eibVu6dirXfkrzoO1jpbGT7qO336bT6cay29tb+7falhTnrh90\n",
       "Dm07p2azmT1u/fHHH7Yulcbz6OhoY5mOT8pbl5eXXeVuzFIu0LalWEvaOZVyR4pb7fPVamXPd/Gj\n",
       "46M5U6Wc27Yt3cdisei6lovbKp9zP3z4MDi+uLiwdaUx6llDU59qvk597K6lY53mVBoDvZa7l945\n",
       "kuZgymvtvbl1o6rq5uZmcHxwcGDPd2vo+fn5u899z7Wur68Hxy723BpVVfXw8NB17dPTU1veXi+N\n",
       "Rxp/nXNp/LWf3bVSXcfHx7Zc49zNsZRvdd1J/ebWKY2t+Xxu60pt0/rcvEn5Vv827VM0Nlt6X2nt\n",
       "SPsxrc/l1JQjNeel+d6z/055K+VnbZs7P83PFKcq9VvLjX1Vjmsdv7RGnp2dbSzT/Jri3NVV9WPc\n",
       "u/yd5ojGztXVlT3f7b9730GkMdI+d+OfYkPLU+y5cr2v5XLZdW2V1pJWmlP6TJLGIJWv1+vv/53i\n",
       "Ns2R3mcct/fr3Xcmuv66+tJaoM84Kdbaa2+bM/XvU753+UFz+9evX7dqm3J7y7Smae7YZq+oZSln\n",
       "9r47dW07PDy0dak0x1xO1f52+92qnJe03MVa2l/1vgtPbdNnHKdnflblPZK7V72vNr++Jc05fc50\n",
       "+Tytt9q29Azj1j3tozSf05zStrtYS+9S9JklxZqrT8cvvXv59u2bLdc11vVL6jONhbRu9byDSveZ\n",
       "5pReK+WHnm9CaZ+S+qGNh7R+9r4fSWPmaI5McyrRtcTNg7TuaJ/3fr9w10o5ctvvT63ePcw284B/\n",
       "gQwAAAAAAAAAAAAAqCo+IAMAAAAAAAAAAAAAXvEBGQAAAAAAAAAAAABQVXxABgAAAAAAAAAAAAC8\n",
       "4gMyAAAAAAAAAAAAAKCqqkbT6fTFnfD4+Ggr2N3dHRzv7Phv0np+6+npaXA8Ho9tXYleS+v//5O7\n",
       "lvbRdDq1daUxGI1Gg+Pb29t3n6u0z9K10xi9vPx/4ZX6P8XO3t7e4Pju7m7juek+td3p2g8PD7b8\n",
       "8PDw+3+39/yW1Wply/U+3XhWVe3v728s07/VutO1lcaDG/80Bjc3N++uq6rq+PjYlreen59t+Xw+\n",
       "t+XX19eDY9e2NH817mezmT2/p0+vrq5sXff397b827dvg2PXb5PJxNal9+lyfbpW1TDWUmykPKV9\n",
       "nq7t7lXnd8oNKe+1bUt5qM0zb9H7SrHp5vt6vR4cb7sea1suLi42npvGU8cg9bHrBx2/o6MjW5db\n",
       "d94qd/k5rRU6njomKuXItm1pDmi/pNjTnNlaLBaD47Q2pD5O61Qr3afGRoq9nj1uGq+UU8/OzrrO\n",
       "d7mod6+e+ljH0J2f1qnz8/PBcRozN290z5NyYMprmltcv/XGdZr/Om9aOtYpB6Y+1X5w/ZLWvNQP\n",
       "qmf9/vjxoz1X95VK5+Q2z0saW6ltPbGW+uSPP/6w5QcHB4NjF0tVvh90/vY+Ryq9N7cnTmuBzqGU\n",
       "19x96hqXrp3onHTzvTfWUny4vf9//Md/DI5Tn7m1/a22LJfLjed03XUrAAAgAElEQVT29mla83qe\n",
       "9VOfub1a1Y/jma7tnvX1b1N+7l2P3finZ1AdvzT+bfz0nPseKWe6WEvPvyqtodoWtyfWPY3S8U7X\n",
       "1nze0vU47XkS/Xu3pqZ263xPa2R6P9ZK60zap2hucbkp5Qadn2nPm9bjNnbTO8De951pzFy/alna\n",
       "h6Q5qG1xeS6Np/rHP/5hy921dA6ka6f83fM+JY1nbw5181ffhab7/Pe//23L0zNNK63HOke2eRde\n",
       "NeyH9D6jN68lKT5aaXxTH/fMk9RnOn/TPqRn/JMUHz0+fPjQda30HOn05qnUZzpGLjZTXT/z2Zx/\n",
       "gQwAAAAAAAAAAAAAqCo+IAMAAAAAAAAAAAAAXvEBGQAAAAAAAAAAAABQVXxABgAAAAAAAAAAAAC8\n",
       "4gMyAAAAAAAAAAAAAKCq+IAMAAAAAAAAAAAAAHjFB2QAAAAAAAAAAAAAQFXxARkAAAAAAAAAAAAA\n",
       "8Gr8/Py8VQUvLy+D49FoZM9P5T+Ttm13d/en1X1/f2/L3bW0Xamuu7u7rmu5Ph6Px7auXk9PT7a8\n",
       "vdfpdGrPTbH48PAwOHb1aR8rbXc6/+DgwJbf3Nx8/+/ZbGbP3dnx/9+Glu/v79vzXXzs7e0Njnv7\n",
       "RU0mk3ef3/bJW/S+UnxcXFxsLFsul4PjT58+2bpub2+72uZi07Wr6sf5mMbTXevx8XFwrOOhvn79\n",
       "assXi8Xg2PVLig2NtdTHKRbbMdW539u21Wo1OE5rQaqvlXJqygdtecqBqU/n8/ng+OzszJ7/8ePH\n",
       "d9d1eXlp60p9puVuDFI/6BxKa6irb71eD4633cNouRuzlAu0z9J8v7q6suXt2pLiVtehNAfduqY5\n",
       "smd+veX4+HhwrPP7ve2q+vG+Uh8n7Xp8dHT07nPfojk1cWOqcZniOOVI7XPXb6lPdR6k+HBxfnh4\n",
       "ODi+vr62daU+7tkLpDVN9zi6nivXD9qObcdT296zr1Ta7jQH0zxppXWodw11OTjFofZR2gumHJrK\n",
       "Wyl/azykWHOx2zue6T40Ft2zQqpL+yGd7+aJ/m2azynWevbXve8B0nx3Y9S759HnK6Vz0uWOdC3N\n",
       "LdvOmba+dO003npfaR64+NC8k3Jq757YzffeuE65pu2X1Cc6J1xdVT8+hyi3F9B2p7al+9T1W+eR\n",
       "O1fpnmibXKNlKdcnmovc/i09c+icS/sxN0c1NtJ49fbpNs8lmtu3fdfajmFaG9L7SY3TVJ+LXd3j\n",
       "pPyb8paOt1s70ruU3ucllw+03Wlvl8ZA7zONgaO53j3/Vvn3PNqOVFcaA53fbg7qc7zStmyb19p+\n",
       "63lXkuqqyv3m+kHrSvuUlKfa/XXvd5XUtpRTXb/p3E519X6zczk3jY/Og7R+9zyrpXPT+xGNezf+\n",
       "6Z2itmWb9wb8C2QAAAAAAAAAAAAAQFXxARkAAAAAAAAAAAAA8IoPyAAAAAAAAAAAAACAquIDMgAA\n",
       "AAAAAAAAAADg1Wg+n9tfse75oeiq/CP27geZ9Ues0w9L397e2nL9MWl3L4vFwtZ1c3MzON7mh8S1\n",
       "XemH4dMPiff8sHwaH/2R89lsZs9PY9BKP+6d6I/Bpx+5d/SHw9N4uh9nr+obg0TbkvrY/si59FEa\n",
       "f52DSufJ9fX1xnN7f8w9jefx8fG726VxrNK1tB9cfSlPaeykWJtOp7a85fq/KseOzgM9bs3n8666\n",
       "0rXTnGrjI/VxylM6PzWfq/V6vbFM253GK82DNnZXq5U9N93nxcVF17VTv7ZSnz09PdlynXNuDqb5\n",
       "qddK99mTp3ri8i3adtfHqS7NFVdXV/b8w8NDW962JcWati2tDY6u3Xqs0n7s/Px8cOzyVm8sffr0\n",
       "yZ6f2v758+d3n3t6etrVtrQXdDla83Fah1K+172EG4MUO//7v/87OE7z2eUa7fMUS2md0mu5fuvd\n",
       "y7s+q/L9oNdKcZ5yfc8etjcHJinntv2Uxqv32cztidOapv2Q9tepj9v73HafqP2U5lQag1bKa73v\n",
       "DVy/pJzXs4et8m3vXadSnGsOdf3SO97pGceNt/bpwcGBrSvlb80t7j5TXdoPKW+lOdpeL82ZND/T\n",
       "/lu5+NH76rmPtxwdHQ2OXWym50atK+0723jqyXFv0T5OuUSfeVraBynHpfKeZ/M0XpqfU5y7fYzm\n",
       "gpQzU7nOQRebvfl2m/edve8Ae8aryt9Lyrc/+x1UG9fbzil91tvmGVfvK61bqW0aW9u8p9fytK71\n",
       "vDtNfebeGVX9uB675+/lcmnr0uff1C9u/ur4pT1sWjv0Wq5fevfXKZaSnueSFNc6nr3j39I1L623\n",
       "PXvFbffqOkfSmP3M/J1yqM5vt+ama/V+j3DlWtc27zPeqs/lot450jv+Lf4FMgAAAAAAAAAAAACg\n",
       "qviADAAAAAAAAAAAAAB4xQdkAAAAAAAAAAAAAEBV8QEZAAAAAAAAAAAAAPCKD8gAAAAAAAAAAAAA\n",
       "gKqqGs1msxd3wvPzs61gd3d3WOFoZM939b28DJuSrj0ej225tmVnZ/P38qenp666Ene+lj08PNi6\n",
       "9vb2bLmOwd3dXWjdZpPJZHB8e3vbdW3VjlEazzQGWr6/v7/xXDfWVT+OQeqzVF/blnSfGudJio80\n",
       "Bj3X1vFPbXFjNp/PbV3r9brrfNc27fM0XrPZzJZrfe4+U5/15jU3ntr/qa7r62tbfn9/Pzj+8OHD\n",
       "xnMPDg5sXRcXF4PjlDNTLC6Xy+//nXJDzxyo+jH2eurTXJFibTqd2vL23g4PD+25q9XKlj8+Pg6O\n",
       "XY586/xW75qX+lTnt+uXNN66JqZYcv2m7U65IcWatu3q6mrjuW2Mv0XvK61TOp9VGw9pfG9ubmxb\n",
       "lKtPc+Tp6amtK+3tetbQtH/SPk39kuZUmw8Wi4U9N+2v9Frpvl1saltSHKdY0jHSeGmlvKXXSuta\n",
       "yrmtn7mHrfL7sZS3tK7edaulsdA7n5XOURdrve1O/eL2HVVVZ2dn72pXVc7fKR5aKc70vlLcJilX\n",
       "uWsrjbVtns17nzF72+bOT/sn3cOk+3TzV+9z23VIr5XuxenNkW4epGct1buOuX5Lfab7pTQGKdZ6\n",
       "1uPUNo213vNbGmuprnSfPet76lOV5lS7n0v5t+e5ryrft8vnWpae1dOc0vnr5nPaP2muT2Pi1m8d\n",
       "63Tt1A863q6+tB9W6Znn/Px8Y5n2Ueoz9+xV9WO/uTmT9jy6V0h7h/Rer80d+m5FpX7Q9Xqb9Vvn\n",
       "SIq11A/ary5/pD7Td1Qpzo+OjjaWaRymNTPlPa3P9Vvaox4fHw+OU5y7MdB1I+Xn1A/6zvHf//63\n",
       "Pd/5mc9LVcPYTX2c5lRvW9zaork9XTvtI9t3WmnP4/Yob5VvMwaaV9JakPKUtmWb56+Ux9K1XVnK\n",
       "Wz/zeSndh8ZOGn+Hf4EMAAAAAAAAAAAAAKgqPiADAAAAAAAAAAAAAF7xARkAAAAAAAAAAAAAUFV8\n",
       "QAYAAAAAAAAAAAAAvOIDMgAAAAAAAAAAAACgqqpGh4eHL+6E+/t7X8FoNDh+fn7uOv+9ZW/Z29vr\n",
       "Ov/x8XFj2cuL7YYfysfjcde1W7u7u4Pjp6cne/7Ojv/Or+VuDPTaSsfA9dl7ytu2pfG6vb215fr3\n",
       "bsxSu7Qfes9PbXMeHh5suY5Burabo71zJM2Dnvk+mUxsXVqeco27l8ViYf9WpTHQPr+7u9t47nw+\n",
       "t3Vpn+7v79vzXW7ROP3jjz9sXSmuj46OBsfL5XLjuSk/6/xN8znltXaMDg8P7bkpdjTW3HhW+Xmg\n",
       "+TrF0sHBgS1v+ynNmTSftfz6+vov16f3mfo4xZrOk7RXcHQOpVibTqcbyzQWUlz2ttvN59Vq1VVX\n",
       "io+rqytb3vZDuo+bm5vB8cePH+35Lj60rpQDLy8vbbnmZ9fHaX5qzku5IfVb27Y0Z9I+Use7d31u\n",
       "6X2ldSvle227a9vFxUVXXWnM3BzV2ErjmfKW9oO7T5dnqn6MndTHLtZ660p0LXDPJek+tU/TPEh7\n",
       "3J5zNdcoHT/Xx6lPtY+2eS6s6uuHXmldc/ea1h21Xq+72tKz31I9eajK36deK+WO2WxmyzUXuWun\n",
       "PYzGRlqH3Br7+fPnwXHqY/dcUJX3Ha00Pnqfv//+uz0/rWPtGH748MGem9YC3U8fHx//5frSfFRp\n",
       "TdRYdNfuzWuprW2spbp716kUL27e6BxJ45+upXlNn59baU5p21LsOb05sPda26wN+rcpp7o1tPc5\n",
       "IsWtzmfNi+5cpXucNF9d7FQN4yetDWlOnZ+fD47T+Lu1Re9z2z2LXsuNf3r/oX/76dOnrvNdWYrb\n",
       "NA+039y9pPH87bffBsfp2dzFj86RFLdpzdNYc3OwZ99QlffXaY62sdb7DOPqeutYubb/7O8RPeem\n",
       "ftB3VGldc+Ua1ynOe8fIrQe977vSntc90/bGxs/UGztpDNx98i+QAQAAAAAAAAAAAABVxQdkAAAA\n",
       "AAAAAAAAAMArPiADAAAAAAAAAAAAAKqKD8gAAAAAAAAAAAAAgFd8QAYAAAAAAAAAAAAAVBUfkAEA\n",
       "AAAAAAAAAAAAr/iADAAAAAAAAAAAAACoKj4gAwAAAAAAAAAAAABejfb29l7cCePx2Fbw/Pw8ON7Z\n",
       "8d+kXfnLy7Apu7u7tq6npydbPhqNBsePj4/2fEfbrXUr1/aHh4fB8XQ6tXXp+UrHyN1navfd3d3g\n",
       "eDKZ2PN7+kFjRaV+0La58d/b27N16d9q3Wo2m9nynvtMc2S1WnWd7+aojl+KpTTn1uv14NiNWRoD\n",
       "ne9pDFysHR4eDo7n87mtK+UO7Sc3pmkOaOyknOrGW/v/6urK1pXatr+/Pzh28z3VpbGQ2pbGoO2H\n",
       "FEupXHNimqPuXm9ubt59blXOa+080LpVuk+dvyl36BxsaWxcXl7autJ4attcv6Q8pH1+fn5uz18s\n",
       "FhvLUrtVyi2av520Jzk4OBgcn52d2fNTrLW5J7UzzRHV048u7qp+jL1trpXuQ8tTH2oOVu0c7Z0T\n",
       "StfEdC9ubbm/vx8cbzsGula4e+3dE6Vru72C1tXbx6k+l6PTPrGnriofizp+KdZS23rWyNSnGodp\n",
       "TmlsqouLi+//ndbAdC3dl7g5k9Z2Hc80Buk+27anutI+Mu31la41Le3zND/TGqnrtdtb9O7VUtvc\n",
       "GOicSs+/aYy0PhdPKa71b9O1Xb/15ttff/3Vlut9Xl9fbzzXlb3VtnR+zzOt2wfquW/RPk35wbVN\n",
       "73PbHNnzrJ/6TOdvOn+5XH7/7979tOqdg24fqzkyPQ8dHR3Zcs1Tbs6mOaXSftztU7TdaW1Iex7l\n",
       "nlN630/2Pqu3tE/T/EvPV9p2F2tpHdK4Tdf+9OmTLW/jIb1LSc8kWp7ynCvXPJRiLeUDjYc0Rx3N\n",
       "Wyk+XNt1TqU4T/ep8eDyQ3ou0PFJsebWUL3PbZ8jdJ64+0zvbTRPpTUwadu2be7Q2En5wfVDz/vm\n",
       "92j/ftvvLiqNgYufdp9Qtd07/7eu5XJH73Nh4q6lcyTN55RbNHa2edeiuSO9B3L3yb9ABgAAAAAA\n",
       "AAAAAABUFR+QAQAAAAAAAAAAAACv+IAMAAAAAAAAAAAAAKgqPiADAAAAAAAAAAAAAF6NxuOx/QVl\n",
       "98PfVT/+kHj64XH3o9j6Y87px6Ddjzu/RdvaSj8cr9dKPzy9t7f37mulHxKfTCa2XH/U3F07tVt/\n",
       "YPv29tae7/q0qmqxWHz/7/Tj670/JO5iTe9D6d+mPk71pfhppX7QOZJ+SN6NgcZWus80BjonXX5I\n",
       "81P7LOUa12+fPn0aHG87pzQ+ZrPZxnPT2Ot93dzc2PPdfer4pPE6PDy05doPLj+kfNzO9aqq33//\n",
       "3Z6fxujo6Ohd7arKsTafzwfHV1dX9nw3pjofXb6tqrq+vrblbXxoHKdrq/V63XW+i5803irlNTeH\n",
       "VBpPXZem06k9342n5s+U69N9pr9vpTjUOZXme1qP23nUm5/TfHVzVMcr9aHOV6Xj7e47zT8dr5Rr\n",
       "0pi1cZ7mUJqfqS0q5aLWarXaqi6NH7cf693Dplzh+lXr2nYMevJDmp/aR2m+uvoODg4Gx5r7VRpP\n",
       "3ae4MUt1ff78eXD89etXe36ao20/pPtMsaN5zY1/ig2NrTT+ms9VuzdM++HUNs3XqT63HvzXf/3X\n",
       "4Ditcefn57b87Ozs3fWlOaLxkNa1bZ4bVVoTdR1z+TytiTp+Hz58sOe7OdX7/Nu7/3bXTuOptn0H\n",
       "0Y5R+0zxlrS263im+e5ykY5371qvNHbdupfGW/W830h93Ju3Us50bdOyNMd69k9V/l5SXRobKZe4\n",
       "9wa945ne02qucWtuuk+dIz2xpHT+pVyf+lTHYJu1QfPUcrm056d9TDumvX2sTk5OBse6/iqXO7TP\n",
       "tt3z6Bi6MU17u9PT08FxyqnHx8cby7QP0n2kcn3ecvNZ9/bq4uJicJzWSPd+RPs79XFabzUnurZ9\n",
       "+/bN1tXzjJmupfWl3JHmu+bctHfo+SaU1sie9ydpDqTy3m8IaYxaKZZ631Fts4fSv03rlBsj7aO0\n",
       "DqVraey4nNv7PiONl2sb/wIZAAAAAAAAAAAAAFBVfEAGAAAAAAAAAAAAALziAzIAAAAAAAAAAAAA\n",
       "oKr4gAwAAAAAAAAAAAAAeMUHZAAAAAAAAAAAAABAVVWNZrPZizvh5cUW13g8HlY4Gv3lxtzd3Q2O\n",
       "9/f37fm9bXPnp7omk8ng+P7+3p7//Pxsy1upz1JdOzvD/w/A3UtPu6qqptOpLU/1tW1J5z48PNhy\n",
       "HYPee2np+Gndand315a3sbtt3D49PXWd7/ptPp8PjreZn29dS+tv3dzc2Lq0n9J4zmazjWU6Pml+\n",
       "7u3t2XLNHe78dC1t22KxsOev1+uNZZeXl7buXtqWx8fHjeem8dFccX19bc93sVNVdXV19f2/Ux+n\n",
       "Pv348ePg+Pz83J7v+lXzbWqbzmfVzoN0rsZlsk0u0jhMsXZwcGDL2/Gs8vPZxWHVj7GY1imXIzUn\n",
       "9l5baT/ofbfSeGo8uD6r+nEPpdo8tlqt7Lka16mt7j7TGqaOjo5sueYWN2Yp12tcb7tPaWNxm7X7\n",
       "LWn93qYf1HK5tOW6vrt7SblB17XE3aeuK2k8e/awVT/mf3duulbad7o+1brSfaTY+fLly+DYrWsp\n",
       "NjTWUk49OTmx5W0/pPtM19K14vb2duO5bqyr+teOnnyfxivNZ217apvbQ/39738fHKd9iuvTqh9j\n",
       "y+0VU7t1HUtrpCvXdqX77J1zLj8cHx/buv7888/BcdrzuLbrmpfGK+WpnncQaU7p3/bmZ9XOuXTt\n",
       "tJfXv0/z2c1hHZ/0DJPygdbn+u1n7wV66kt7VC1P993zvivFUnom7dnHpuclzWvpWc3RHJjq6l2n\n",
       "3H33xmXKJS4+dB/5s/d27vw0npo7Ur+k3NE+f6c++9nvdU9PT99d17axpnOuZ91S+hzR845Jac5L\n",
       "dSUaD25vn/pMn73SeLpY1HakPU9ap7Q+N5/TuqFxnfKvG8+q4TxKz5ypbb3v6V38aF1pDNI+pud5\n",
       "qfcZNPWLG2/de6f3H71td2OQrqV/m8az511LyvW963HPfO4tV/ZdeFdNAAAAAAAAAAAAAID/a/EB\n",
       "GQAAAAAAAAAAAABQVXxABgAAAAAAAAAAAAC84gMyAAAAAAAAAAAAAKCq+IAMAAAAAAAAAAAAAHg1\n",
       "3raC3d3dwfHd3V3X+YPGjIfNeXx8tHXt7Pjv3/r3Wn/r6enJ1rVer7vaNhqNNpZNJpPB8f7+vq3r\n",
       "9vbWlmvb3X2+vLzYunqlfmvvLfXZ3t6eLb+/vx8cu3tJsaF9/vDwsFXblsvlu+tK5dr22Wxmz3dz\n",
       "Tvss9YvGpnp+fh4cuzFIdWnszOdze76Ln6Ojo8Fx6uOUp/Tv3RxN81fr2mYOarvbuHvLYrGw5WlO\n",
       "ttL4aGy4PFSVY7GV5kC6j69fvw6OXX5O5ZqP0/i7NU+vlfqkd470jK/SPk/rUCrXfLBarTaem+6z\n",
       "99puPHWO9N5HaovOix7a7pS30jrVxlfPuVU5ltwcvbm5GRyna19dXdlyzaHb7O10fNLaMZ1ObXnb\n",
       "Fl1/07WV5o4Ue27e6BiktSONt/69Oz/lQI2HNGbuPnWOpPycxkBjy9Wnfay0H1Ifu1i7vr4eHKc+\n",
       "S3Pujz/+GBy7vYPL3VX9e9gUH20/pfmZxlv7KfWLo3ko7SvSfbb9pM+cKl1LxyDFuetXnVNpb9d7\n",
       "LTdv0p5I4zTNA7eGap9u+7ys9bn5ntY8zbdpHqT4aG27h/2Z7yC0vPfaquc5I8Wtlqf8fXx8vLHs\n",
       "8vJycJz2dmk8Nce6+Ej3qetrGrO27enc3vU21efuU/ss7XnS+q1td+Ob6lJpfN1ziY59WjvS81XP\n",
       "fiy1W6+Vzne5Q8e69x2w0vt05/c+96U+7pnP6T5TXT3vTlN5WvuVmyNVP8aqu3Yazy9fvgyOT05O\n",
       "7Plu76f769Rnvc/Tvf3Y6t3zuOdQjZ203qa9v/79NvepfZ7WjvS83fZTz3u595Sn+3T9puOZ7rNn\n",
       "X5reAScaW9u8g9LxSTk1zXfth22e5Xrf07v8rmtByt9pvLUfXGz2vm9McevGgH+BDAAAAAAAAAAA\n",
       "AACoKj4gAwAAAAAAAAAAAABe8QEZAAAAAAAAAAAAAFBVfEAGAAAAAAAAAAAAALziAzIAAAAAAAAA\n",
       "AAAAoKqqxumE5+dnW357ezs4Ho1Gf7k+Ldvf37d1vby82PKnp6fB8d3d3cZzd3b8t/TxeNhVu7u7\n",
       "9vzHx8eNZdpn7tz30H5z95L6TMvX67U9/+DgwJa3fa7joVLs6H25WJrP57YuHQMdX5XK27atVqut\n",
       "6tLY2iY+FotF1/lpvKfT6eDYxdr9/b2tS++zt19aJycng+OUO1Je035z56d2qxQfe3t7727Xw8OD\n",
       "rSuNgc53Fy8pDjW/phx5dnZmy9t+3XYtuL6+7mqbG+/lcjk4Tnkt9dtsNvv+326Nqqo6Pz+35Srl\n",
       "Z3efGjs699P5Svvc9VvqU437lOd0/F1ZiqV0n+14pmun+avjd3NzY89P2jmV5kDPeFX5fptMJoPj\n",
       "lH9TTtX63BxLfaztTnvBNAbtPibFSspr6urqypa7MdX7SnGe9mPaD67fdL+ldN+Rco27z561u2q7\n",
       "uFYpdjQ3pPhwbdPxSXMmrUPabzrHWmlO9V7b5ciqYTxoH6reZ5yeZ1Kl83eb58Kq4frfm59VmnM9\n",
       "NNZSnP/5559d9bt+7n2n4OK2ysda7zNJb25x9aX71PL0jOvWKW1HykOpbXqfLm/1vmtJ56f83faD\n",
       "e7aqyutx7/suF2saO2nvf3x8bMv1udLN/8PDw6660vntPjXl8jReOt69zxXuWqltKdZ0jUxtc3r2\n",
       "FVX+WS7lApXWjp4xSPlW96xpDrp5oOtneu7rfT/i9p2pLr2vlBtS7KR+aqVnkt7nZZcHNa+knJn2\n",
       "PNpPbn+Xcoc+R6T7dP2mfZaevVJ+1vt09aX71HdQaT7r+S0dz7QOpT3PP/7xj8Gxe2eV5oDmljQH\n",
       "0xi0/Zryb9o/9+6JXT7Q8U5tS/vStp/S/EvjqbGVzndt1/tM45mupffm4in1WU++rfJt12ulunuf\n",
       "WbfRO6cc/gUyAAAAAAAAAAAAAKCq+IAMAAAAAAAAAAAAAHjFB2QAAAAAAAAAAAAAQFXxARkAAAAA\n",
       "AAAAAAAA8IoPyAAAAAAAAAAAAACAquIDMgAAAAAAAAAAAADgFR+QAQAAAAAAAAAAAABVVTV+enqy\n",
       "J8xmM1t+f3/fdcHRaLSxbHd3d3D8+Pho63p+frble3t7g+OXl5e/XJf2k6urqmpnZ/O3+fF43FXX\n",
       "dDq15avVanDs+k37WGk/pPPTGLX3pvftzn1P2/b39/9yu7RPb25u7Pnr9dqWt9ebTCb23NSn2hYX\n",
       "S1V+Tmm7F4vFVm3Ttrh5k+aU1pXi4+rqamNZz1yv8n1W9eMYLJfLd5+r9D5T266vrzeW6X3qcTpf\n",
       "af5295LiWsc73afr06qqu7u77/+tOU65XFBVdXh4uLHut7g5p21J+TnNqTYWUyylPtN1KuUtd59a\n",
       "V5qfDw8Ptlz/3sVTGh/NYynWUny00nil+9S/79kLKB2DNP5pvrfxldaV1Kc919ZrpX1nWqc0rt2Y\n",
       "pXVI9wppbejptzQeKZaU5jHl5o22O+XURPvJrVtpPDXW0pi5vKbXSn2cco3mKVdfarf+bcpL7vlK\n",
       "c0fKW2nOadvc+WmOzOdzW67SGtr2Q9rbp/mp5a7fUg7UMbi9vbXn9+wV3Hyq6t/7pWd117bLy8uu\n",
       "a6f3BlqfG7Oe2KjK893FrpalPW/KoT1raO+etHfv4MpSbkjzXXPuNmuL5tDUtjRGbY5NdfXO3xRr\n",
       "bvy1T1Pe6t0zuTFLcan5O127zVUpz6Q1T8dgm7VG59S2+VnnnOuXFJdanp79Tk5ONpbpfaVYSvPz\n",
       "48ePg2O3r+l9b5eu7cb7w4cPP62uqh/XMbev1D5R+rdpHqQ51e4Ftn0mOTo6Ghxvs4fSPuudM0r3\n",
       "Cm4MevfLaR9ydna2sUznZ3qGSWOkc9S1Ld2nrjupj10spljo9e9//3tw7O4lrZ8ah2k80zxo953p\n",
       "3VjK3z1rwVvnt9Jzo0rXanNy73t4pWOU4tzdZ2q36m27W4vS87HOz/SM4/YSuidJ61SKNd0buHnQ\n",
       "ux6n+e/6jX+BDAAAAAAAAAAAAACoKj4gAwAAAAAAAAAAAABe8QEZAAAAAAAAAAAAAFBVfEAGAAAA\n",
       "AAAAAAAAALziAzIAAAAAAAAAAAAAoKqqRovF4sWd8PDwYCvY29sbHD8+Ptrzd3Y2f7PWsqenJ1tX\n",
       "8vIyvLXJZLLx3HSt3d3dwXG6z/F4vLFM/3abut4q1/tupft8fn4eHOt9Kzee+veuXe+pS9uube2h\n",
       "fZbuM5W3Li8vbfl8PrflKR6UzsGW9lkag1TeMw/SfWpd6dqj0Whj2f7+/uB4tVrZuqbTqS3X+tz5\n",
       "abw11tL5LtY05l1Oq+qbn1VVt7e3f6ldVVVHR0eD49PTU1ehagQAACAASURBVHt+WlvaPk/Xvr+/\n",
       "t+XaD+v12p7vYlevNZvNbF0aS65tNzc39tx0n4vFouvarh80bu/u7mxdbn5W/Ti/Xe5I81PjIa0F\n",
       "boyur68HxykPLZdLW671uTHoXY/TXiD1W3s9N9ffunYaf7cOadymuEx5TfvYXTu1u3ff2bNOpbU8\n",
       "5Q7Nkenajt5nyqm9OdKdn9YhzR1pPrtco2VpnUmxqPW5Mejdw2yzJ05xna6d9DzDqOPj48Fx6uM0\n",
       "59p1MZ2bxlvj3tWX8q3W1fOc8JZ2jNK1016g95lV9w4tjcMUt2mMdA/sYjNdS/sp5Q43RtruNGd6\n",
       "Y9Gtz725I92nyx269qf1Nt2nrr/u/LQWaD+kfUpqeyvtr3v2T1V5DFx9ve8v0r5Tr/Xnn39uPDfl\n",
       "Yy1P+5R2/NO+IfWxlqfnZX3ubJ2cnAyOUx/2vu90sZzms+6f0hxz+V7LUh+ntUPLXaymNU/n5zbP\n",
       "3hqX6drpPZCOp2tbmgOan9P6nfZv7b2l2Eg5Va+V7uXr168by3Q807VTrtF+cvea1uPedzNubdF2\n",
       "pP1Tyucaaz3vbZXO73RtF4vap2mNTO919dncSeOp+TjF0rdv32x52+e93xuU9lPv+6+W7r1Tjkza\n",
       "Obrt+wyd7yk+ep4zU9ym8e55H5LWdtU7n1va52kt6G3bNrmj9xnH5T3+BTIAAAAAAAAAAAAAoKr4\n",
       "gAwAAAAAAAAAAAAAeMUHZAAAAAAAAAAAAABAVfEBGQAAAAAAAAAAAADwig/IAAAAAAAAAAAAAICq\n",
       "qhrt7++/uBPG47Gt4OHhYXC8t7dnz3f1PT4+Do53d3dtXXq+2t/fHxzv7Gz+Xn53d2frenp6Ghyn\n",
       "+9R+aU2nU1u3cu2u+vE+7+/vN577/Pxs69LydO2XFxs+NRqN3tWuqh/7RWmftnWr+Xxu69LxXiwW\n",
       "9vwUa63VamXL05zSuE/XdvXpeKa4TbGosTabzd597VSeYs3Fz/X19eD4w4cPtq4Ua1rf8fHxxnNv\n",
       "b29tXTc3N4Pj1MeuXMfv8+fPtq7Ly0tbnuZJS/tE6RzS+1Yp57ZSO9O1tE/TfHf3qmOQYu3i4sKW\n",
       "t/eW8mnvmqjzVfWsFSmvuVzwVn0uF6U5oveZxtP1g64r6/X6L9dV9WM+dvk55TxtS8qpqW1tfKW6\n",
       "tI9TbKb80Np2X6FcPk/3qeOf8nmS5mgr9YOWp3nhaGxsm2t6+snt1ap+nCNpbXD1aZ/1xpLSv3fz\n",
       "OeUO/dvUtslksrFM82faX6c+7Ynb3n3i4eGhPT+1re2HtNYnGrcultI+Ue8zjX/S9mvK5anPvnz5\n",
       "MjhO9+LGVHNkirWUG7TP3bXTtXQOpVzj+lXXirR2pPytsequncZbpVhzbdP9dKqrd9/hnllTntHx\n",
       "S+enMWjnSaor3ae2zb3nqeob77QWpPcA+hzi5lR6LtRrueffquF8T89q6R2Ezne3Blb5ftG2nJ+f\n",
       "27rSHNRrub1A77vT9Pzk4kPjept3KW9xa02KS42dlGvc2qF9ulwubV1pjdQ10T3j9uahtEdKcd2O\n",
       "UcoNqR/0WicnJ/Z8l9c0R6Zr964d7jkyPef3vmtzc05jIY1Buk+NNTcPUtxqn6V+cTlXY2PbvYD2\n",
       "kzu/d391dXXVdb5q51Tv+2ml+SDtO52e7wvvuVYbH711Kx3PFGsudnV80v4pjUGqv9X7nS3Nd7e+\n",
       "67V63/MozWuubWnfoX+bru3GgH+BDAAAAAAAAAAAAACoKj4gAwAAAAAAAAAAAABe8QEZAAAAAAAA\n",
       "AAAAAFBVfEAGAAAAAAAAAAAAALziAzIAAAAAAAAAAAAAoKqqRpPJ5MWdsLPjvzGPRqPB8dPT019u\n",
       "zPPzc9e1d3d3bfnDw8PgeDqdbjz3/v7e1rW/vz84fnmx3WbpfY7HY3t+b59qW921lfZZkvqhvbd0\n",
       "H5PJxJbf3NwMjt14alyq3libz+e2vHV+ft51bTWbzQbH6V5c7Kb76j1/sVgMjtfr9cZzf/nlF1uX\n",
       "xkOagy5+Hh8fB8fahyrNOW2Li00336qqTk9PB8euz6qq9vb2NpZpLBweHtq6Up/qeLvYTLGh10pz\n",
       "JuWD29vbd7Wrquru7s6Waz+l89319L5SDuzJe6ldac3THJnOd/GxXC4Hx9fX17au3r2Cy2tuDrwl\n",
       "9bGLRZ3bmkt6r9Wzvqfc3rvPSPW1c6o3ltJ9u/HX+0h5K+0FdIw0x/Zcq+2TqhznPfu1dK5eW+na\n",
       "4vY8VVVXV1cby3QM0hxL81nj3OXMtK/U+0xraloPWmk+985BF5uu/6v685qbo2lt7712mnMt3Qcq\n",
       "nUOprSmu2/JUV4o1jWvNc62Uf7Wu1Mep7e0YpLhN46Wxk9rm9qWr1WpwnPbXx8fHtvzbt2+DYxdP\n",
       "bnzealvKuY72WRr/NAYai66+lIe0rjSeLndoO9J9pnLNx24+p32HruXpOSKNd9u23ndGSscorUM9\n",
       "z43pPtPaovt1d69fv361dWm7097v8+fP3/+7N1aUPgOlMXP7FB2vlEvSOqQ50sVebyzp+Ck3/kdH\n",
       "R4Pjbd4xvFXu7qXnHeB7uPHWd2sHBwe2rt756WIpxc7P3gukWGyl9wZ6rW3yoMZa7ztjpfPAxW4a\n",
       "b1070j7FSeOtdB+iNNbcc2Yae1070ni6Oap9lOZz2pdq3Pe+g271fMOpyutae29pTdvmfcdb3F5A\n",
       "Y37ba6e9ZCuNt45nOt9du3c8U27RWOzZC6jeb0JubdH5+LNzpNP7LTPFmhtv/gUyAAAAAAAAAAAA\n",
       "AKCq+IAMAAAAAAAAAAAAAHjFB2QAAAAAAAAAAAAAQFXxARkAAAAAAAAAAAAA8IoPyAAAAAAAAAAA\n",
       "AACAquIDMgAAAAAAAAAAAADgFR+QAQAAAAAAAAAAAABVVTWaz+cvW1UwGg2On56etmpQa39/35Y/\n",
       "Pz/b8p2d4fdx17a9vT1b18PDgz1Wh4eHG8uur68Hx+Px2NaV7lO5e0n3qX2U7vPx8dGWTyaT7/+t\n",
       "45GurXZ3dwfHt7e3G899efFhfXx83HXtu7s7W97Og3Tt1KfaT6k+N6YaO2kMFouFLVdujup4qfv7\n",
       "+65raa5paR+l8ZzP57Zcx9v1cepTjdMUS07KiSrFjuYed77LaVU5Fyg3f6uG8ZHGM7Xt8vJycJz6\n",
       "xcWH3meqK41ZmyMvLi7suW4OVP0Ypzc3N/b8tPb0SOOp13LXTnNK7zPlEpeLtCytkWn+/sw+1bak\n",
       "WEvx0cbDbDaz5+qcS7HkxmC1Wg2OP3/+bOtK+Vn7wY1Jb2yk8/VeVDvfU95K19IxSrHnco3G0jZ1\n",
       "vcXl/zSfU9z2XEtjI+1petahny3lCpe3dDzbdeQtaQy03J2/Xq9tXb3rUJrv7RikulJe0z2xy6lp\n",
       "D6tx25N/39K2PcXGcrm05Zqn0nx39el4p3UojUFPfKRY01wwnU67zm9pLkj5O+0V9FpuTNP+uXct\n",
       "cG3XnKjvJFTveuzeWaQ5onWlOdjzfiT1WYprHaOUc908+Pvf/9517d59jKsvPWdo7KQ4b+dcGt/U\n",
       "Z/p+JI2Zm+/aJ2k+p72Acv3S+94mzX/Xdr1Wyr8/M5Z6n3+/fv1qz//w4cPGMt2TpLx1cHBgyzV3\n",
       "uL197/uPdO00B9sxTM8caa+g10pz0OVU3Sek9Tnlb227G9OUhzQ+tnkHqXNo23fEV1dXtryVxkf7\n",
       "Ia2BLj50be99n6k0/7vz0x5W51S6duqHdm1J7+FTXKs03138aFu2/SbUjuE278be+vv0XqD3WX4b\n",
       "eq3eb2WtlFuU61fNBamP0zOL3pfbK/R8k6vK67eLW/4FMgAAAAAAAAAAAACgqviADAAAAAAAAAAA\n",
       "AAB4xQdkAAAAAAAAAAAAAEBV8QEZAAAAAAAAAAAAAPCKD8gAAAAAAAAAAAAAgKqqGk2n0xd3wt7e\n",
       "nq3g+fnZHqudnc3frLXs7u7O1jWdTrva5uzu7tryl5dhNz0+Ptrz9/f3N5Y9PDwMjp+env5yXW/9\n",
       "vbuX+/t7W5f2aWpbT7+5sa/Kfdpzn6PRyNaVypWOv2rvLd1nurbGbRqDyWSysez29tb+rVoul7Zc\n",
       "+9zNsRQb2rajoyN7/mq12lh2eHjYde3r62tb3hMfvfeZ6r64uNhYNh6PB8cpP2uuUdpvTrpPLU9x\n",
       "m9rW5qJ0bspr2ufr9dqeP5vNbHkrzffUtnb+pjUt9YPe52KxsOefnJxsLNN2p3VoPp/bco2Hy8vL\n",
       "jeema2k+djmwyseuzqm0DiWaE4+Pjzee6/rgLSk+Ur5v7zXtj7Q89UtaI1spb6VyvZa7l5RvNdbc\n",
       "OlOV53NaW1opp2psplyTcm6P1G/aDy42e+dUik3XNu2zNB4p12hucX2c7lPHO8W53our6+bmxtZ1\n",
       "cHBgyzXu3bVTnOl9pThPz3rt3tDtj6pyHvrw4cPg2OXMVJeWp9yg11bt/E6xlPYwPTmyyq/f2kep\n",
       "X9Je4PT0dHDsYi312dnZ2eA47d3ceGteSXGZaD+4tSWNj8653jWypfeZrp1yZE9+T7HT85xfldvW\n",
       "SuOZ9k8prtXf/va3jWU6funave9P3L7z999/t3VpjnV1aXnaPyX6TJrGzPWLxlLa0/S+g3Lx0Pvu\n",
       "LD3buWccXftTnKY+7Wlb7xqZxsDlb81Tqc9SjtTx7oklpXko9UvaK7TP7mmtT/ep10ptc/2q45fy\n",
       "cxpvbYuLzfQ+Q+8z5Ux3nzqH0nilcm2Le/Z3+6G36urt49bnz58Hxyk3pNyic9StB73PP2mNTHHd\n",
       "/n16Xkp19T7juLVF7yuNfxqjNhelPu7t03SfjrYlzZm0Hus7h568pfS+tnmvq9dK61Tv+063X+/d\n",
       "d2yzJ+JfIAMAAAAAAAAAAAAAqooPyAAAAAAAAAAAAACAV3xABgAAAAAAAAAAAABUFR+QAQAAAAAA\n",
       "AAAAAACv+IAMAAAAAAAAAAAAAKiqqtF0On1xJzw/P9sKdnd3B8ePj4/2/L29vc2NGY26rr2z479/\n",
       "69+7+sbjsa1L2/byYrvNtu3u7m5wvFwubV339/e2vEdqt9rf39+qvrbP03imMegZzxSHeq10fhqj\n",
       "drx1fFXq09QW1RPXDw8Ptq7Dw0NbPplMBser1WrjudPp1NZ1e3vbdf7Nzc3GsuPj48FxmjOu3VU/\n",
       "jpGLzaenJ1vX5eWlLVeaU1uaPzUvKR0vpf3k5vNisbB1XV9fD45TrKXxbv8+zZk03tr2NGZuvPVa\n",
       "6dopd7TzN7Wrdz1Oce7uU8cvjUFaj5WrT2NJaVy7OZOupfeZ6kr5Wf8+xbmjfepyYFWe720/aP5V\n",
       "eh/r9dqe7+qbz+eD4961XmmecmPSm7c+ffpkz//tt99seTsGaf6lWNLYSfnB5W8tm81mtq7e/be7\n",
       "lxSXFxcXg2ONF+VyrrbLPXO8db7SuHa5JPWZ9kOag26eaFm6dlqPtT7XL737im3yc9UwttIzR9p/\n",
       "a5y6edB7n2k+p/3a0dHR9/8+Ozuz56a41nhI57u29T6D9u7X3PlpzdP7TOutG9Pz8/PBccoNaR3T\n",
       "+e1iM81fjdM0D1y/pfFRaT/Wk3N730GkOZNyS3u9dG7KkbqX+Pjxoz2/51oHBwf2/BQfGrvuueP0\n",
       "9NTWpf2U5n8bm2mPkuanxkfKW25Mta40/icnJ7Zcc4drW1oLet6lVPl5oH2axivFmu713b2k9Vbf\n",
       "KaU9j4tbvVbq47SP1PpcPu9939x7bdXm6HSfKW9prKXzXfxoHKZYSu+/tN9c/kh7AZ2P6RnH0fFO\n",
       "cZv6VNdc18cpNrRt27wf0/mWxjPdZ883od5nljSe+hyp2n5Le5q0t9O29b7vbmkfbbvvbNuWzk3X\n",
       "0vm4zXe53rU95T0td7GZYkfrSvvUtJdopfU47XG17S4PpvHW+0rj6fIx/wIZAAAAAAAAAAAAAFBV\n",
       "fEAGAAAAAAAAAAAAALziAzIAAAAAAAAAAAAAoKr4gAwAAAAAAAAAAAAAeMUHZAAAAAAAAAAAAABA\n",
       "VVWNptPpizvh5cUW12g0+mmN2dkZfs9Ode/u7tryp6cne9yaTqe2roeHh62u7f423ef9/b0t39vb\n",
       "Gxy7MUvj+fz8PDhO96nnu/L9/X17rvaxms1mg+P1ev3uc5ObmxtbPp/PbXkbu+Px2J67Wq1sufbD\n",
       "crm057t+0DmV2pbGO/VDK8Xt4+Nj17VdrOl9LhYLW1eaB9p2d98pdvS+9L572qZ/m+ZMovPEjVnK\n",
       "kbe3t7buXu2Ybpsjte1uzrx1fkvnUIoltxZUDe8z5dPUDxofqT7XNq1r29yhf+/aluaIzsfUx67t\n",
       "ei2NYzWZTGy51ufWPc1bSu8rnZ/yQRvXqS69jzQmV1dXG8v0WmlN0z1NapvTG5fbascgrfUp1rQ8\n",
       "5WAXm1pXmjOfPn2y5Tp/XU5Nfaxxm+7T5fvDw8PBcRqDlCN1HXN9nK6lsZjWLbeP0bUg5aXz83Nb\n",
       "3rO3613zts1b7RhcXl7ac3v3kQcHBxvP7b3PtD6nPVGbQ1OfpdyhsZPuxV1Pxyfl5//D3p3tNrJk\n",
       "2bqelCiRFKkmIpsqoC7q/Z+rLhI7M1eE+r45N0LAfEgcQ3MxNnBOnf+7Coc7za2ZNs3cfS0o1V3z\n",
       "gdtDp9jQuE1z0OUWja2zszNbVpq/+vufP39uvTbFrc7flL9dXuvsxarys7vGVucZJkntTHOus76n\n",
       "50aN+zSf3RzVstL4pzl1fX09OXZxnvr04eHBlq3GNTfNiRRrOp9T3ursr9OzulsLqqr++OOPybHb\n",
       "x6Y+07hM67eL887YV/XXNXe97reUxlKKY3cvHevUZykW9Xyqm6N1SXMsnR/7IeW4VJbmoV2eiTRv\n",
       "pXu758Kqj3PO5cyUbzV20l7AtVNjIc2ZRMfQ7WtSn3bXUBc/Oj//+7//25aV8neac1+tV9XHfkhx\n",
       "m54NxjFMfZzeEWo/pD2S6xctK+2vO99ddt0fadx33mcqjfmUv9N4K5c70r1Su5TLB9qnnVz/GR3v\n",
       "zrcQ1X1mdXXn/0AGAAAAAAAAAAAAAFQVH5ABAAAAAAAAAAAAAO/4gAwAAAAAAAAAAAAAqCo+IAMA\n",
       "AAAAAAAAAAAA3vEBGQAAAAAAAAAAAABQVXxABgAAAAAAAAAAAAC84wMyAAAAAAAAAAAAAKCq+IAM\n",
       "AAAAAAAAAAAAAHg3W61Wb+6Cl5cXW8B8Pp8cv73Z4mo2m2099/T0NDler9e2rIeHB3t+b2/6fdzV\n",
       "7eDgwJb1+vpqjzvlaTv39/dtWd0+1fJHi8XClqXjner2+Pj45bqlsp6fn+15/b0bAxdnVR9jI907\n",
       "9dvY58fHx/ba6+tre17rnmLN9av+9vT01JaV5pSOt5ujKXd054GO2Uj7/O7uzpaV+lTb5e6d7qW5\n",
       "wM3PKt8PGqcpztMY6O9d3kp9pnkq5YY0p8a2dudzOp9izY3RarWaHKd+Sbnl9vb2y/U6PDy053UM\n",
       "xrK75en4pTUy1S31wyiNt97r/v7eXq9jNtKcl2Lp6OjInr+6upocu35Jfap10f2WSn083i/1mcZO\n",
       "WtfOz8+3nuu2I42/zs+zs7Ot16Y1Tefczc2Nvf779+/2/Nhvl5eX9tqUn7Xfum0ZaZ9tNhtbVhoD\n",
       "XfdcPk9rpMbDcrm017t5o/Ptx48ftqz0nJHqMkrjo/k53dv1m9Yrzedufna5JOUtjev0DJPqNsZu\n",
       "Wm+Tzv467VF0DFKcp1gac0/q47S/0nhIewt3P+2H1C+6BiZuHqTx1nudnJzY61MsjlIfpzVR85rL\n",
       "Rem5QKXxdGuPzoG050l91tkrdp9nU07t7KH+67/+y1778+dPe17jPvWba6vmgrQep/cGmntcv6TY\n",
       "0b1ceo4Y+8HttavyOwidz2mv6NYO3culuqXx7Dx/d553qnZ/3znqvJf7TGdv0d3Lp32Ky6kahykv\n",
       "pfVWx9uNf2fd+Mq907PB+PvUZymnatyntcbVXeMwxVI6r/PdjUEqS3Ned91yZaX5l/awnfycngs1\n",
       "t6R87vrtdz57VX2MLXfv7vPSt2/f7PXuHYSWl57zE21n6he3fqccqjrvynfZJ1Z9fN+VcofrB42F\n",
       "7jcCpXsmN6apH7QuaS/g6qZ9kPJzd0/s+i3lyO69Hf4PZAAAAAAAAAAAAABAVfEBGQAAAAAAAAAA\n",
       "AADwjg/IAAAAAAAAAAAAAICq4gMyAAAAAAAAAAAAAODdPP0B5dVqZc+7P0L/GfcHnvWPt6eyF4tF\n",
       "617uD7brH2tX3T9a7/pV/wB2+uPrem+l/eb+wHYqS397eHhor0/9NvZT+qPkSef3aXy0H7QPd7l3\n",
       "ujb94fj5fD45TnF+e3u79ZzGVne+pvJcPKW41rqkP/6u/TK6urqaHKc+TnXTuP/58+fWa1O9NR6e\n",
       "np7s9S53aD5O47nreI9SO7XP7u7u7PWpH8Yxur+/t9emOaJ5KrXF5TVtV8qBKdbGuqdrU59qrJ2c\n",
       "nNjrr6+vt547Ojpq3TvF2nq9/vL1af5q7Gw2G3u9i5+0xqnz83N7XvvNxUc3T11eXtrrtY/VON5p\n",
       "73d8fDw5TuN/enq69ZzuvdKcSWuorgVuPqd2almpD9P4j9I+RGNFXVxcTI532Svq2uH2w1V+va36\n",
       "2DaXS1JZej7lEtev2gdpfqcx0NzhYi2Nj8Z1inNXd80dKdbS/NXfu5ya5pT2UZrvqbxxDFKuT884\n",
       "nbqlONQ5lcYzzbmxbmmPkvZP379/b92784yT9mNpvLXf3PWp3jpHdtlf65xK+8pUN40fF5upT/W3\n",
       "3T4eaa5OY5/eA52dnU2OXS5K7dTxcc+3Xf/zP/9jz//1r3+157XPu/uUkfaRrvUq5Ugtz+WPm5sb\n",
       "W5auYynnunqo7pxK89nNQZ3PaW+X9teaa9z6kPK3/jaNv9tbaBzq3l11Yy3ta5zu+063T+nuebrv\n",
       "2twc667tad+Zzo9jlPaoKdZ07Uht0fdp7l7p3u65sOrjeLv4SPsxrXd6/+H6QduV8laaU7qGuthN\n",
       "uV5zYtoLuFjTe6XYSPlYY22X5yX9berjtFcY80Fa09Lzkp5Pe0HXVu3TlBs6z1+pXunbR2c8P7t+\n",
       "pPk47SsT3ce6/VZaCzTuU2ym8jplpTnVuVei45fmu10Tf0uNAAAAAAAAAAAAAAD/n8cHZAAAAAAA\n",
       "AAAAAABAVfEBGQAAAAAAAAAAAADwjg/IAAAAAAAAAAAAAICq4gMyAAAAAAAAAAAAAODd/O3tzV7w\n",
       "9PRkzz8/P0+O9/b8N2lX3nw+nxy/vr7astJ5dXh4uPXcwcHBb72Xa6fW4/Hx0ZaV6nZ/f9+63tF2\n",
       "Xl9f2+tdn1ZVvby8/Pr3bDaz16ZYHMtK12ssKY3TNL6pnaO7uzt7PrXz4eFhcpz6zbVV52caz6Oj\n",
       "I3teY8v12/7+vi1L+zTFrfaLq0fqs0TH0M3R1M71ej057uaS0e3t7eRYx7dL66blj1Kfah9tNht7\n",
       "/dXVlT0/xkPqs8Vi0arbzc2NvX65XG49113zUn4f4yddm/pUf69rg3Lt1HMuNqpyP+gYnZ+fb702\n",
       "5Vu918+fP+31q9Vq6znNK2ntSHlK87vL92l/pbnFjVdVjp+xbWk8NQfq+qtcW3S80hqYxkB/73JJ\n",
       "iksd/1S3FJtjP6R2pPzdiaUqP0aav1NOTeuaxk8nZyptV4o1t8fS8Ulrg66BSuvi1sFUb1130hi4\n",
       "/Zi2a5dcX5Xzweji4qJ1r7R3SP12dnb25bLS/ruzN3TrRtXHdSf1cZpTYy5K9Uz30ryW4jytoaNd\n",
       "n5c7+9a0Rir3nFBVdXJysvWc5qGU61M7dQxdv6U5pbG4y5zSOEzzL+nktTT2mvM67xg+M67/af6l\n",
       "3KHjl/Zbbr1Oe3mV5oHey12fcof+No3Z+F5hzNWf+fHjhz2vfZza7fZ3GkvpmTPdS+vm+iXFWlpb\n",
       "0r1HGodpLe/mLTcHu+ttarfbx+h4prjsPrO6+ZqeI/R8irVU3vHx8a9/d+d+uldaIztrR6pbWtf0\n",
       "Gcn1W5pTY59V9Z/93L12yUNVH+eoG7MU17r3T3Pq8vJy6zldC9J62n1X7tbI1E6NjV1z6ti29C48\n",
       "7a90H7nLHNXxTH3cGaNd30GolGvSGHWuTX2qY+TKSzlPxyDd2/Wr1iPtE7vfeHbZX2vd0r3def4P\n",
       "ZAAAAAAAAAAAAABAVfEBGQAAAAAAAAAAAADwjg/IAAAAAAAAAAAAAICq4gMyAAAAAAAAAAAAAOAd\n",
       "H5ABAAAAAAAAAAAAAFVVNX99fbUXPD092fP6+9lsZq8/PDz8cllHR0e2rMfHR3t+f3/flj+6u7uz\n",
       "Zald2vny8jI51nqqh4cHe/7g4MCeH6U+07otl8vW9ert7e3Xv+fzub22207Xbymun5+fJ8fHx8f2\n",
       "+jRGt7e3v/6d2uli47N7aV2Va+ve3vS/EUntSPNddWJPad0SF2ubzWZynOI83fvm5mZyvFqt/nRZ\n",
       "Y2xU5TmzXq+3ntPxSXF+enpqz9/f30+OXayl+Xl2dta6PuWWMSenOZX6VOM+9YujuT/dO82pMR+k\n",
       "uT7m08/o71N8uHVP50DKW4nOAzf+aX3V36brXT7QPto11jpjoHkrlZWkXHRxcfHr3zpflcZtWiPd\n",
       "fNc+uL6+tmWdnJzY82qxWGw9l+aMxnW6Ps2pMdekuZ/2nZq30rrmYlfnc2pnOq+xluago+1KZbk4\n",
       "11hIe5QfP37Y8519Z6p3d5/icq7G1q55S5+3dG8w2vW5QHWegXZ9ZtX4cHHu+qDqYz+k+ez2kVXT\n",
       "MUy5P413Z29X5cdA75XK+s///E97XvP/5eXl1mvdfrjqYzyk2OvcK+XAtMfV37t+c2vYV+qi3DxI\n",
       "saN076a0bt++fdt6bRofjY2UG1K/jX2e5nPaP3XXKdfPqS7d6zW3pH7p+OOPP+z5cV1LcyK919O4\n",
       "TTnTzQsdn9Qn6XznWb7b/513aUrbmfY86bzOQbcPSc+FWu+0Rrq6dZ4hq3LuSOWP0rOajkG6d8rB\n",
       "4zxI16Y9kY5RyiVuTLvv7dJ+TOPD9XOKHZ1zqZ1um9uP/wAAIABJREFUjnafvVN86Px2Y5rWFY2t\n",
       "dL3Lyek9QJe2y+WttK/QPnN7t6q8toxxneI4xa3Gxy7v1nX+pryWcu5YXnffqDrf0ap67+n1nYRK\n",
       "ca1rhRvTblkpNl3u0DzVXYeU/t7FUmqnjk+aB+48/wcyAAAAAAAAAAAAAKCq+IAMAAAAAAAAAAAA\n",
       "AHjHB2QAAAAAAAAAAAAAQFXxARkAAAAAAAAAAAAA8I4PyAAAAAAAAAAAAACAqqqardfrN3fBy8uL\n",
       "LWA+n0+OX19f7fXu/N5e73t2upeWN5vNtl7rzn3m8fHRnnflHR4eTo5Tu7t96u6t46Xu7+8nxwcH\n",
       "B/b6h4cHe378/XK5tNemdmosptjsSO18fn625xeLxa9/v73ZKRXd3d1NjlPdHP2tjq86Pj6257Vt\n",
       "rm5PT0+2rO58v7293XpO63F0dGTLSuOpce1ibbVa2bJ0vqc56OqmfXZ9fW3LGuPyK+W5+EjzTed3\n",
       "Z86k+6Wyurkl5W8X19214ubm5svXbjabVtlKxy/NAzentJ0axyqtBVq3s7OzrddeXV3ZsrQu+/v7\n",
       "9noXa9oHaT4nGmsuz6W1Quud8nenH1JZOv5pfe7krdTudC8dfzf/U47UuqW81OmHNB6Xl5f2vLYz\n",
       "jZlbc1MOVev12p7X9cDN/9QPmqfS3sGVp2WlWDs9PbXnO/mhO56611O/85mlO/5un5LG8//mXj3N\n",
       "v7Rf1rq7NTDFjt4r1S3tr8d1L/VxdwzSuubmnObEFEtpf6Wx5WIt9anOg1Q31w86H1Mfpz2R9oO7\n",
       "PuU8bef5+bm93s05bWdqR6JrqNvzdN9ndONcjXM4PXuluO3OA0fX1zQGKa9pfLjrU701J6Y+HvvN\n",
       "7eu/Qp+BXH6u8vNZ50jq47Sm6v7L7TvTPlL3Cmkf4p4jdY6kdSvtIzv79dSnGmupj13cdvcRKXfo\n",
       "fN/l3t33H2kMxvyQ8lIa79QPytVdz6V7p/d8On/dnji1Q+fILvNdxzO9k0hxrWuPuz7tBXSNTOta\n",
       "p14pb3XH241Bev7ROZfunebJWF4ar133uJ3ytI/SvdOcGtuZ5kx3f510YjG9M0zvIC4uLibHbi/Q\n",
       "XTtSH7vx1/FM9+7Goqtb2id2+8G+12uVBAAAAAAAAAAAAAD4X4sPyAAAAAAAAAAAAACAquIDMgAA\n",
       "AAAAAAAAAADgHR+QAQAAAAAAAAAAAABVxQdkAAAAAAAAAAAAAMA7PiADAAAAAAAAAAAAAKqKD8gA\n",
       "AAAAAAAAAAAAgHfz19dXe0E6//z8PDmezWZ/ujz9rZatDg4O7Hn18vKy9dzenv+WPp/PW9fv7+9/\n",
       "+V6Pj4+2rMPDQ3v+6enpy3XTa5W20/XZV4zlpXbqvVXq85Hr/6qPsZViLY3BGNepHff39617vb29\n",
       "2es7Y5TmTLcf3L1TP2gspnufnZ19uazr6+vWvZW209UtxbVKdVssFlvPnZycTI5TLKX8rbHlxjPN\n",
       "KZ2fafwfHh7s+XEM0r1TXOvv0zrl5pz2aSor5a3OOpbmurbz9vbWXu/iWuuV8lDqB52/l5eXW6/9\n",
       "9u2bLevm5mZynPrFtXO5XE6O0/xcrVb2vMZ9yjWO5pajoyN7fRrvTq7SPk1x6uJjs9lMju/u7lr3\n",
       "Tvdy5em9lc6Zq6sre33KqWM/pTUtjYeOp1sb9N5K+yzN1xS32ja3R0r1TmuBcmtLd2/XHW937zRH\n",
       "NK7TuubO6/ilObVer+15jUXXlrSmaQ5N++d0fhzDXffXWnd3b10blLYzxXlaW8Y+T/dOuV73irpm\n",
       "KndeYy3VLc25zrNcGs+U35Wb7zp+3ThXGqtu7Uh9qrng58+f9np3L21X2tulNS+tJZ176bqTyu7s\n",
       "idN6m+av7v3S2uH2ijqeaW+X6q794MpL9dY+T/NgnINpfNP++eLiYnK8yzsLbUdaO1Kca91dv6Q9\n",
       "ja7Haf1246/1Snu3NAbKtSX1qcbl8fGxvf4f//jH1nP/8R//MTlO+Tfljk6cpzVN7ZprxlhMa0P3\n",
       "eSrN0c5zYhr/ROvmykt7Hu2ntK90ex6N+bRXT/2gfe6u7/ZpqluaJ6MU5yl2tC6az0dpfLTe3XeQ\n",
       "apzvnT3LZ3RdSrHp1rG07nSNY5TKTrGmuSD1cSdPprU9rWNaFzemKXY678Krcv7uSHXTdrl+6b7z\n",
       "T+Pl4oP/AxkAAAAAAAAAAAAAUFV8QAYAAAAAAAAAAAAAvOMDMgAAAAAAAAAAAACgqviADAAAAAAA\n",
       "AAAAAAB4xwdkAAAAAAAAAAAAAEBVVc0Wi8Wbu+D19dUWMJ/PJ8f7+/v2eleentOyu7S8l5eXrdem\n",
       "er+92W76YLVabT13e3vbKuvw8NCef3p6mhwvFout1z4+PtqytM9dn1Xlflkul7/+nWLp4eHBnt/b\n",
       "m/73DmnMOvc6OTmx16d+ODg4+PVvHQ+V+kF/n6538aF9lMrSPlbjeFZV3d/ff/laNfZZVdXd3Z29\n",
       "3o23xvVms7FluXpX9XJHylP62zSfXe6YzWaT46urK1tWGk/NFS4+Up/peKbckOb7WDctW6U5p3VJ\n",
       "dfvrX/+69Zz20eXlpS0r5Y7OOvf8/NwqS+NFuTHQeqf5nMZA6+7WqVRvjftv377Z6107tc9SrKUc\n",
       "qrHl+u36+tqW1ZmfVTm3jLHq8kzVx3ycxv/m5mbrub/97W+T49SOFOcaH7vkLR2vFHvJ+Ps0vonO\n",
       "wRSbTmf+VeW9osaam/+p3t0+d/lby0p7gZR/Uz+M0pzSeqec6fJWd/+b1lvtJzdmbq5XfcwVaW+X\n",
       "5vvYr2lPk/pU59QuzxHaDylHpjgfYy2taamdmntS3dycOjo6mhynOZH2VzrnOvNZaVyn613e02fz\n",
       "lBtSLOoccv22Xq9tWTqHzs/P7fXuXtoHaY+a5qdyuSONj55Pa2haW8bz3T2P6saae47QstJ63I1r\n",
       "954pzV+N6847jZS3urHUjZdt9arK45/mwe9cO7RuqY/d3l7zZ4qlNKe0bum5wtG8lt5/utjUNSzl\n",
       "59SnysVm6gONjVS3lGvG55azszN77e9sZzqvuSG1M81f/b1rS5pvGte6b+mUp+1M++e0Duk7CzdH\n",
       "014tPdMqt7/Sc6kdaR5oeS6ndt9/dPbPnxnrnsaz+2yWxsy9o9D5lsYgzd/xXmlfmd4ha5+nNdLN\n",
       "Oe2zXb4Xfla337kepzFwc1DnQHpOSDpzKt1L+2yX52n+D2QAAAAAAAAAAAAAQFXxARkAAAAAAAAA\n",
       "AAAA8I4PyAAAAAAAAAAAAACAquIDMgAAAAAAAAAAAADgHR+QAQAAAAAAAAAAAABVVTWbz+dv7oLD\n",
       "w0NbwPPz8+T47c0WV4vFYuu5x8fHyfF8Prdlvb6+2vNad1e3/f19W9bT01Pr3qnuo9lsZs+/vLx8\n",
       "uawq3xbt41SXNP7Jw8PDr38vl0t7berT+/v7yfHBwcHWa1O97+7uJsdp/F3cal20nqob1+n6dL9R\n",
       "aufenv9vSnQO/f3vf9967c3NTassHRPl6j7GWVXV8fGxLSvFms4DV7f1em3L0vHp9vFI+2DXHKn9\n",
       "5uI8jY/W283Pqpz3xrqkvJXmp/Z56hd3Xs+lNS/da6xb6pNuLkhj5vKk3ktjRaUx0PO3t7dbr01r\n",
       "no5nmu9XV1dbz+n8Tfm0mztc3XT/lKR+SXNu3MekOaWxkcru7FNSWd0c6cYkzZmfP39OjtMameb7\n",
       "+Pvr6+svX/sZ7dOUH1y/allpvNK9tO7u3t11KI2Zy1snJyeTY927q9VqZc9r7nD9kuJWz++6fnek\n",
       "umk/ufyQcr2WlWItPRuM5aW9fbfPXHyke3WfWZMxFtPanfK3SjnXrcc63t+/f7dlpbynOdTlwbQe\n",
       "a1lpPrvY1T5IuT6Nt8a1eyZK9day/vGPf9jr3Xy/uLiYHKfYSHT8XL+5OKv62KdpjexI45n6Qfdr\n",
       "6fqjo6Ot5zSu3bVVvX1HknKHrscpp475Pa0Naa+uuSP1i8vfuu6kOZZiU8s7PT3deu3l5aUta7PZ\n",
       "TI7T85XLHX/5y19a9057gdTno7RP1DnTfVYf6fjsmre0z916n57V9DmyG0tqrEua+2mPq3U7Pz+3\n",
       "17vx131J2iN1vyF03mcqjR19FlDuXt12dt/N7PKeXuM+xYfLLTp/v337ZstK+1IdT9fONKd0PFP+\n",
       "TvNgXMdS3nLvjD6rW7q3u5+eS3VL58dYS/uCFLd6vvvcMdKcl9aClAt0Trp+6c6pFJudd8RJWo87\n",
       "34RSvbvv6V15/B/IAAAAAAAAAAAAAICq4gMyAAAAAAAAAAAAAOAdH5ABAAAAAAAAAAAAAFXFB2QA\n",
       "AAAAAAAAAAAAwDs+IAMAAAAAAAAAAAAAqqpqNp/P39wFy+XSFnB/fz85XiwW9vrn5+et5+bzuT1W\n",
       "Ly8v9vzb27RprjxXr8/utUs79/f3J8dPT0+2rKOjI3u+086HhwdbltZ7Npu17q0ODg5+/fvu7s5e\n",
       "q/2S7jWWrfb2/H8boX1+eHhor0/ljXW5vb1t3VutVqvWvV152q40BnpvtV6vv3zvbuykfnNxrbHz\n",
       "+vpqy0rz9/z8fHLsxiDFjt4rjb+bB1qPlAPTnFI6vqM0PtfX15PjFLeduqVrN5vNl8uqynnQxa7m\n",
       "yDQGyZg70pqX8q3O7zQH3Xnt8zSeKT40X+veYZTG8/HxcXKc5rvrV62Xlq2689fNqd+970j9MPa5\n",
       "q1fVx35Isen2ijrWKY7T+U5sun1CVR5v1ZnvV1dXO5WlfZ7ylmtrd2+X+k3r4spLuUPbmeLYrQca\n",
       "12nO3Nzc2PO6J3JzNs1nrVuKPVc3zUMpZ6Z+0Fh0+5rLy0tbVnffmZ4zx1hL7Uixpr93cZvmr8Zh\n",
       "GoMfP37Y82O/pRyY5ojG4snJib3e5RYdzzRnEs0tKRc53bzmnqf1t6mPu2uHG9O0r9A+S/GRYrdz\n",
       "787zb5XvlzQ+2udpvnek8UrzV+uW8r2bc6enp626pXvpGppyTaesFB/j+bRP7O4j057HzQON2/Qc\n",
       "mcZAf+/KS2VpLKX9VkeaY91+cGPW3UemOO48k6ayUjt1XXNjlu6V8rFKdRv7Ia1DibazM59TWSnO\n",
       "0/trvZd7j5Birfsc4c7rfjjNzzT+Wne359V3aao7nm791nrtmoc0X7t7p7Wg+143vYsd+zX1Wff9\n",
       "9S7fN/ReKZZ23a+Nun2a5ruLa21Xd8+rOvvvTp9U5TFw5XXvlfqhk9e6z427PHvxfyADAAAAAAAA\n",
       "AAAAAKqKD8gAAAAAAAAAAAAAgHd8QAYAAAAAAAAAAAAAVBUfkAEAAAAAAAAAAAAA7/iADAAAAAAA\n",
       "AAAAAACoKj4gAwAAAAAAAAAAAADe8QEZAAAAAAAAAAAAAFBVVfODgwN7wcPDgz2/v78/OX55eWld\n",
       "P3p9fW3de2/Pf//W829vb1++9y5lpfL03Gw2s2Xd3d216vb4+Lj12uVyacu6v7+fHKf4mM/n9vwY\n",
       "D4vFwl779PRkz2ufu/F3cfbZb9N4prhO8TNKfaZjsFqt7PWubjqHjo6ObFmpHRqL7vrUp9qu1C8u\n",
       "PnQ8Dw8PbVlXV1f2vM4THRN3b6Vj8Pz8bK9380TnYxqvlFu07peXl1uvTblDx8/loaqcD8Z+Su1I\n",
       "saOxmPLazc3N1nPars1mY8tK4z2OwcXFhb025QLt07SGunlyfX09OU5jkGJR7+XGoBvXaQ46OrfT\n",
       "eKUx0Dx1e3u79dqUp3Qdc2V9dr0a40PHV6W4Vq7fdHzS3E97njRGoxS3et7l+qocm+OcS+1INNZS\n",
       "TnXzXedb6peUO5SbF6nemr/X67W93u0F9FzaV6Z+0DXR5a20ruheLfWxK0/7LOWSNAbKxXlqp86h\n",
       "VLc0p8bzKQemPa7u/dw+NfWZ9sPPnz/t9WlPPO47jo+P7bVpz6N1S7Hm6qb5Nq0zae3QfY7L5ykX\n",
       "aGy5PWyVn+/aB7u285///OeXr09zQNfMzjOnSu3q0lh0devu1VM7Uy4a1+A0p9y+v+rjGrfL87Su\n",
       "S2lPk9YpnVNuj5XeZ6Q8pcY5mH6bYk/3pbu8m9HYSOtQt90ullMe6u6JXTv1t2nd6uYO93yV+qzz\n",
       "3q7Kx3n3/Ufa++nvXXykOdO9dycPpmeS7rvVNAZuTFMeUuk5U/OBG4OUOzTuU3y48rpzKtF+c+Wl\n",
       "NU3XofSc6WJX9yQp1rprqLv+x48ftqy///3vk+PUzs53nBTH3by2y/trtes6NbYzXdv9JpS454zU\n",
       "R13atl3yd/dbZmc9SO1OeU3PuzFNcaa5f5fnCP4PZAAAAAAAAAAAAABAVfEBGQAAAAAAAAAAAADw\n",
       "jg/IAAAAAAAAAAAAAICq4gMyAAAAAAAAAAAAAOAdH5ABAAAAAAAAAAAAAFVVNZ/NZvaCvb3eN+b9\n",
       "/X17/u3t7cvnDg4OWvdW2jZ378PDQ1vW4+OjPVau37RdqY/v7+/teW3nfD7feu3d3Z0ta7FYTI7T\n",
       "eD4/P9vzY593rv1K3Z6enrZe6859di8tW7k+rZq2Lc2pFNc6Rre3t/Z6dz8dvxRLaYzOzs4mx65f\n",
       "0r1eX18nxyk2T09Pt557eXmZHF9dXdmylsulPZ/m9+jm5saePzo6mhynPnbjqedS3KY5pbHo5vvP\n",
       "nz9tWavVanKc2pn6eLPZ2PMdGg+pbm6Oar1Trklry1iXdG1aKy4uLlr3dnXX2Er3TvNXY1HnrLu3\n",
       "0vFLOdXlIs0FKX+7eld9nENuDFIe0vF5eHiw16d16uTk5Ne/Uzs7+6cqnztSbKjUx7p2aO4Zdfcd\n",
       "ad1ar9f2/Jjv05xJ+ysdg+6YjbSd3bVBaWx2nxVGWu8U567fdJ9wfX1ty0pzRuPBXZ/WAj2f5sU4\n",
       "X5XGdbq3zpl0rz/++GPrtWmsuzk1xeI4v9OcSeeVyw+pLJ0jKdek9Xjsp5SH3H646uMcSuPv7nd8\n",
       "fDw5TuOZ9t/aD51nGKXzO/WxWytS3lHp2Uzngcsdac/Tef6tqvr27dvWc/rblCPTXj3F1ij1mfZR\n",
       "Gv/O83Hnue4zWrdd9tcaa2nP08kdVT4Xdffy+gyrxvy9yzvAqo/zM41ZJ99336UpHU/Xx5ozlf42\n",
       "jYmLj25cd/cpTnpO13qn8Xf98M9//nNy3M2ZqhNraXw672Grcj+M5aX5l8ZL65bmjLufvu9y62lV\n",
       "/9nP9VtaZzrvGNK9NFekdqbx1NhyuSjdq7sOubymfZpiLe2RNB+4eZNyh/ZZGv8Ua2Nd0l49zREd\n",
       "v12+pWmcpj5O743G+Ejvp9NzfspjysWijs+u35dSrI7S+Oi9domP7tqecofmd3f9ru+c0r0n92qV\n",
       "BAAAAAAAAAAAAAD4X4sPyAAAAAAAAAAAAACAquIDMgAAAAAAAAAAAADgHR+QAQAAAAAAAAAAAABV\n",
       "xQdkAAAAAAAAAAAAAMC72WazeXMXPD8/2wLm83nrhm9v22/38PAwOV4sFrasl5cXe/7g4ODL17++\n",
       "vtqyDg8PJ8daV+X6ZW9v+t3e9cln1yut+/7+/tZrU59pXWazmb0+lbdarb58baK/d+1MNK5TWWkM\n",
       "xli9v7//0/X6TJqDrm56LrUjWa/Xk+PHx8et16b5q/2U+u3o6GjrOZ3raX6mWNTfu3un+avjl653\n",
       "uWiz2djfquVy2bre3fvu7s7+VtuZcofmVDX2U7o2zRGty/X1tb3e9bPOoRS3nTyV1tN0/vb2dnL8\n",
       "O3NHWiOTTu7p1juV7eJHx+fp6cmWleJa6+KuT3lIxzvlNc2DTrq31jvFnuu3NH+VW1eqPsaii83U\n",
       "J/rbdH2az+MYpTmTcofWJcWmG6Pu/jq1U+eoKy/VW++V6ubK07hN45nqprGb1m+n+1u3fmuuT3kp\n",
       "zalxr17lc2qKa61L6uMktW10fHxsz+ucc21J65DGaRrflHPH8U65IY2nxr3Gi9LxH2k/pL1gyh1n\n",
       "Z2eTY7eudZ8bU2y6uNY+S2te6geNWxcfKU/pM0jqlxS7HTc3N63zbg6mXKB96uKyKsf12G9XV1f2\n",
       "2jTeuhakurlY1N+mNS/lwMvLy8mxm4NpjqTxdtIz6i7Pv585OTnZek5jI907jac+N7ryUlka52n+\n",
       "uxyp+4Q091Mf6zxw+/eUA/W36Z2ExnGnbNV9lnNrQ1pv0/xVqe4XFxdfqldVnnO6l0g505Wnv+22\n",
       "W2ksun5JeyLtp+7z9UjnYxr/9E7p9PR0cuxiM61D2g9pTrm1QOfArnHeeTZPeUjza4rzlDvGeNj1\n",
       "maSr0w9pvqcxGudQ9z18qpt7F/7Z9e5cmp/d+HC5o/sOYpdvX1qvNJ67Pmd07qV16z7LT+715VoB\n",
       "AAAAAAAAAAAAAP5X4wMyAAAAAAAAAAAAAKCq+IAMAAAAAAAAAAAAAHjHB2QAAAAAAAAAAAAAQFXx\n",
       "ARkAAAAAAAAAAAAA8G62XC7f3AWvr6+2gP39fXvcKW82m02On5+fbVmr1cqef3l5sccdWu/lcmmv\n",
       "v7+/33pO27ler1v3Vjc3N5PjxWLx5Xur1OcqjXfH09OTPb/ZbCbHd3d3W6/d2/P/bYTeK43n4eGh\n",
       "PX97e/vr3ynODg4O7Pm3t+mU3GUeaF207G7dtJ9cW9O9dI6kPnb9oHHo5l9V1dHRkT2vc87F0+Pj\n",
       "oy1L5/fV1ZW93t1LxyflhhTXOn7z+XzrtWl+6hikeeDuVVX18PDw698pb6XY0Tny73//217v5oHG\n",
       "dZozKReN+dvl7q/cS+s25qVu3XT80r1TLOp4uzma1hUtK8WSy0WpXSr1qc53t051c17aK6Q5N86p\n",
       "lJ+793bjmeaASuOpdevM13Sv1IdpbRnHNOWtcTw+o3VJ88Llj/Pz88nx2dmZLSuNga57rm5pD3N8\n",
       "fDw5TnPM9ZvW6/T01Jbl5mfVx72Ci7VUbx2f1C/uvNYjxVrap3Se5dKcur6+nhzv8rxUVXVycvLl\n",
       "a1M/6Drl8lpa07RPO88Jnxnrnvo4ndd26XOi0jnofptyQ8qhuh642Ex9qvGQ1prOWrTL+4zPzu8S\n",
       "a9rONP5/+9vftp7T/PnHH3/Ysrp7JDeeqSzNxylvubitmvZriss03pqPUyzpO4uRzqE0nimvdd4b\n",
       "pDH4P//n/0yO0xwcz3f37kkaf3de19tdnhO60njpmpjWNRdruq6M6+Vn0rO8nnfvmNIc0PFJsdfZ\n",
       "R6Y+6z5PuzmT5oC2M+3tUnnjGKTxSrGm0hikOTfa9R1watso9ZmuHalsty/VXJHiPD1HaJ+7tnT6\n",
       "5CvXu32Hrondbz6JW3O7+6td43Y83/2uorQuae1wbe28h63K7w3GfJDK6n4r6b6bGemzdIrbNJ5a\n",
       "Fzemv/s9kDuvczvFWnffkcpzut9Z3Zzj/0AGAAAAAAAAAAAAAFQVH5ABAAAAAAAAAAAAAO/4gAwA\n",
       "AAAAAAAAAAAAqCo+IAMAAAAAAAAAAAAA3s0ODw/tX29Of7Rc/5B0+sPTqbxOWfrHoJX+UWx3ffcP\n",
       "iesfyVbuj1zrH0DXPyyerlfaTvdHztMfLdd6p7qlP3I+jmHq4/v7e3te/wi9i6XUztPT08lx+kPi\n",
       "6Q/H393d/fp3+oPoKW417lN57vxyuWyVlean1t3FefpD7zrei8XCXu9ibbPZTI7T+Kcx0Pl9c3Oz\n",
       "9doU1zoGaT67vKd9sF6vbVmpndpvrm46/9Tl5eXkeLVa2es78ZHyUFor0nmVxnSUckfnXqmPU5/p\n",
       "eO+Sc/W3qW6J5lA3n1Pcat3SeuzygZaV8lB3j+PG7Pb21paldUnrbZonY1tTHtI+S/PZzQONs+Pj\n",
       "49a9VVqPR525XNUfEzX2a4rLVJbGTmqLiw+dvymO09pyfX09OXZzNs1nrVvap4z7LdUd77OzM3te\n",
       "Y9fN57R/0rjWPuyUp32k+wzVXQvcmKX5p32Uru/smXfNDZ26pfVWx2/XtWMco9SOdF7HO93blafz\n",
       "Lc3n7j7Fldd9ntplP6b1TuOZ6qZ96vZQ3dye9gJpDEa7zin9/S57O+3T7jsoNfZ5amcag+567M5r\n",
       "O9P+KtF+dXuPFBvuefcz4zzpjMdndIz0GVW5+a51SfuxXd/djLp7gRSbjvZpisvueuz2xKkszaEp\n",
       "tly/abtSDkz0PaCL3X/961+2LN0vp/2Y28NWTcc0rUNpH9l9L9ApK41/yge673T9ltqp8yDNd9cP\n",
       "Wu9d39NrO12/dNeVlFNd/JycnEyOr66ubFkpH2uucGtNygW6Ju667xxzbLr3794LuPjQ36bckb6V\n",
       "jOOdYiOteZ3nwq7UZ6luuva7uqX1WMcn7cfceHZjo/u85Mb0d7/rdmPA/4EMAAAAAAAAAAAAAKgq\n",
       "PiADAAAAAAAAAAAAAN7xARkAAAAAAAAAAAAAUFV8QAYAAAAAAAAAAAAAvOMDMgAAAAAAAAAAAACg\n",
       "qviADAAAAAAAAAAAAAB4xwdkAAAAAAAAAAAAAEBV8QEZAAAAAAAAAAAAAPButl6v39wFj4+PtoD5\n",
       "fD45fnuzxdXr6+sXq/axbPX09NT6/d7e9u/lqd7625eXF3v94eHh1nPPz8+/rayqj3V3bTk4OLBl\n",
       "qdvbW3s+lTebzX79W9utlsulPf/w8DA5duO/Wq2+XK+qPP5pDMZ5slgs7LUuDqs+tjPVzcWPzrc0\n",
       "p/b391vntR9HaX6qNGZpnoxSn6V2aqy62E3jeX9/Pzn+/v27vd71m+bj1M7Up1p3N5/TWnB3d2fL\n",
       "Vmk8x7qna3XOKI37NA+0LaNOvv3K+bHPUztT3Gq73PxM9F4pf6e6KdfW6+tr+9u//e1vk+OLiwt7\n",
       "/enp6dZzGte77ju0z92eJ615eq+0DqV+Ozo6+vVvzUtK25Hmv8sduiamfUUag5OTk8mx6+Obm5vW\n",
       "vXZZb6um/bDZbOy1aT+sfZ7msxvTs7OzyXHql5S/tS5u/qdY03Xq58+f9no3b7r5OY2Rri1uzNL4\n",
       "6HhqHKvz8/Ot53R80lqf9qXaLjdHU2yoNGeOj4/t+TFW0zrUvdcue7vu2pH2KaOUG9J6q+28urqy\n",
       "17s5pe1K+TvNOe1zt7Zo3lI651Kcu1ykfdRSFEuuAAAgAElEQVR5vv0KN6Yp1nRPmmLNzQNtV5oz\n",
       "qZ2d56VUVucZ8yvnx366vLy016b9mEpx7srTmO8+e6fzLp7SPlLX3xSbY1yna1Pcap+m+exyqv62\n",
       "8/7xMzpv3Ph39+qpnZ1ck9aZdC89754r0t5O50Cqm+s3/W2ar933QK6PU4783e8Fxme/NKfSGqnP\n",
       "kbs+f/1OmgfdPrabt1Kcu5yq451yRzfWXFu6e4EUm+v1eus5fQ5M907PSzqerp1pT6p9lvZjKReN\n",
       "Y5T2Aru+x1eu7hpbKdbSPBj7NcVGegbt7O2q/JzS3+76jNPpt84epmq3d6fazjReqU/VLnXTOEzr\n",
       "ses3/g9kAAAAAAAAAAAAAEBV8QEZAAAAAAAAAAAAAPCOD8gAAAAAAAAAAAAAgKriAzIAAAAAAAAA\n",
       "AAAA4B0fkAEAAAAAAAAAAAAAVVU1Wy6Xb+6Cp6cnW8B8Pp8cv76+2usXi8WX75XKWq1W9vz+/v7k\n",
       "+PHxceu1b2+2G+J5tbe3/du89tnz8/OfLquq6uDgYHLs2pn67OHhYXKsfahS3ccxXS6X9truGMxm\n",
       "sy/d9zPapy4uq3LdLy4uvnxtGs+bm5vJsWtnlR8DHb90798pxY62S+eFcudfXl4mx2n8E62bG9MU\n",
       "t7e3t5Njna/KtVPLOjo6smWle+kYuZx7fX1tyzo7O5sc393d2etT7hj7Nc0pHX+l45niw8WujrfO\n",
       "V5Xm3DjeJycn9lqX26s+tjP1y/39/dZzmhPdtZ/dW3Xyd8odnbU9laf1OD4+tmVdXV3Z81qeG//D\n",
       "w0Nbls7fNKfSOjbGaopbnXNpTFwe1D5Icz/1i/7e9XHKgXqvlBs6e4u0piVpTinXVi2rO1/TeTem\n",
       "6/XalnV5eTk5TrnGjbf+NuXUFIvKjb+ugUrX7xQfbow0blNeSnsFHU/Xzt/9XPg79wLdPY8bg9RO\n",
       "XV/1+UmlvcAYu7s+L2mfpn7pPBukfUW6l/aT67c0R3QepFhy5WkfpDyU8prOSbeupT7VuqV+ceu7\n",
       "ltXdP6vOc0SiZaXxTPuScQ6nOZPej2g8pP2Wix+NhbSHTflbx9Dlj+6zWRr/cbx33dtpbKa85M5r\n",
       "n6U18tu3b/a8rt9uzLr7js4aqHSs0zqU8rPGbWdfqbrPapvNZus5bVdan7vvo3V83bX/b5Lqlvpc\n",
       "uTHtvp/svtdz+TzNkW7ecue774jPz8/tec17bs3tvnfvPuO6eqTx6n6vcLGXytL5m9aO7n7dSbGj\n",
       "7Upj0Hk/ssv+SX+/6zccrcsuz6w6PqmPU59q3V3dunGbxsCd13qkPUz3nZOLpTTeWu9dvgnxfyAD\n",
       "AAAAAAAAAAAAAKqKD8gAAAAAAAAAAAAAgHd8QAYAAAAAAAAAAAAAVBUfkAEAAAAAAAAAAAAA7/iA\n",
       "DAAAAAAAAAAAAACoqqrZarV6cxe8vr62Cnx7s8XVwcHB1nPPz8+T4/l8bsva2/Pfv/X84+Pj1msX\n",
       "i4Ut6+XlZXKsdVWuH7Res9nMlpXOKzdmqc+0nfv7+/b6NN7jGGrZqtsPT09P9nrn8PCwdX2KxU47\n",
       "Hx4e7HltZ+pjR+vi5l9V1Xq9tue17vf391uvXS6XrbqlOeViV+dvKivFmvaDyx1pvFWKW5eLfmds\n",
       "VH2MB1ee64Oqj7kijUEqb+yHFEupHzR2dq3bKOXItIaObUvtSLljs9lMjlM7dlkrVJoH2rbb29ut\n",
       "1x4fH9uydPzSfHZjpLk9jVe6l7bLlZfWIc0Fd3d39vqkky+urq4mx2kOrlarrec0blMO/Pbtmz2v\n",
       "7XDrVrqXxm26vpO/d83PaV+qXJxrLkhxfnZ2Zs//61//mhy7+Ehxe3R0NDlOc0xjc9Tdw6Y9j+YH\n",
       "l7dSn+p66/ZPn9171M3P6Xqtm+u3VG8dv7TvTP02zrl0bcqpet61pbuvuLy83KluY3np3imuNR9f\n",
       "X1/b612s6XimMUh7Ac1rrm6pH7Ss7piNtA9+97Ocy5Eur1R93NulOejqrudSO1OsqfS87Og6lcYz\n",
       "rRVjrHbXU6X9kNY1l/e0nbs+42g/uDhPa4HGderjMRZTjktlaZ+lXOPm4Pfv3yfHae/WeZ/12fEo\n",
       "xYaOd3ePNNL5u8t72KqP+yv3PNZ5vq2q+sc//mGvd+3U2EnPien5V8tzeTDNGY2tNJ6dvWLKp67P\n",
       "qj72Q5qDru4aW7ouqTTntG6un1Ofad3SmLl50tknVuW1pbOHSn3WXV/d+q31SO1I7846z9OpnTp+\n",
       "aY1Mc24sL61TqW66X0vldXJLdx1S4xh1925K25niw9Vd+9S9M6rK49mZU90cmfrNjWc3D3X2sOne\n",
       "3bK633hH/B/IAAAAAAAAAAAAAICq4gMyAAAAAAAAAAAAAOAdH5ABAAAAAAAAAAAAAFXFB2QAAAAA\n",
       "AAAAAAAAwDs+IAMAAAAAAAAAAAAAqqpqtl6v39wFr6+vtoC3t+nPZ7OZv6E53y1Lr1cHBweTY9eW\n",
       "VJbWZW/vz397f3p6mhwvl0t7/c3NjT1/eHg4OX55edl67Xw+t2U9Pz+3rn98fLTnx35L7XT1rqq6\n",
       "vb2dHB8dHW29No2Pnk9xvlqt7Pnx9w8PD/baRPtBx1fd399vPdeN0zTnNB729/e3XpvmlPa5ztd0\n",
       "/S5lJToGrrwUt9pHOseUm++bzcb+VqX5q3Vz8ZLG8/LycnLcrasaxzT1WYpbzVNpvrs5p/MtxZqb\n",
       "IyrFUuqH09PT1vWduqWyUt01/2u8dOrVXY/deZ0jLp9WfVy/ldZ9sVhsvTb1mc65NAZp7UnrmLtX\n",
       "GhOXH1IeUqme2m/u3ik3aC7QfYZKsbZer79cVqL9kO7t4knjMMWSi9uqqru7uy/fO8WO5ue053F1\n",
       "131h2qOm/K1zyl2f5p/+No3B75Tm1NXV1eTYtTPFoeb66+tre30a73F+p1hKY6Bx7eZoembRfvid\n",
       "45n6OO3Hus9y7ryuid2cqjrrd7qX/naX5y/ds6a9QIrr4+PjybFri+ZTpXGb+uXHjx9bz2k7u3sa\n",
       "pfNklxyZ9kQqzZOxbSkuk85aUOXr1nk/VZXHQOPHxYd7d1L1sZ0p1sZ5kspOsabr9ffv3+31Ll50\n",
       "/qZ1Ju15Ovvx7n455WcXH3qvdO80BtpPrp2pLP1tWlNdftDx2XVvp1y/pb1851m6Ks+pMa53efb6\n",
       "7HzKmZ24Tu1I+UDzluvnNEdSXZRrp67dqY+7+7XuOjfqPpu7vKb9ndahlCO1bq68NJ76LjS1M833\n",
       "8RkntaP73r37vnvU6bOqXPfx991nb6W/T3HrxrT7PivVXe/l7p2+o+lvu+/1R5qHdt1fa3mdvYDS\n",
       "uqTr3RjxfyADAAAAAAAAAAAAAKqKD8gAAAAAAAAAAAAAgHd8QAYAAAAAAAAAAAAAVBUfkAEAAAAA\n",
       "AAAAAAAA7/iADAAAAAAAAAAAAACoKj4gAwAAAAAAAAAAAADe8QEZAAAAAAAAAAAAAFBVVfN0weHh\n",
       "oT1/e3s7Od7f37fXv7y8bD03m80mxwcHB3+6rKqq19fXyfHj4+PWa+fz2BUTWlfl+kHrndqxXq/t\n",
       "+YeHh8nx3t72/y7g7e3NlqX11j7s1u3+/v7Xv7WeytW7qmqxWEyOn56etl67XC5tWRrXqW53d3f2\n",
       "fOqnUWqnlpXGzM0Tja1073Re48PFeaq3zqHUh26Oah5KZaXz2qcu1lI79Xya75vNZuu55+dne6xS\n",
       "nurkPZ1/6ujoaHLs+qwq98NY91TPVJbWPa1TFxcXW88dHx9Pjt26UpXn1Jh7Uj5NeUjjId375uZm\n",
       "6zltZ+rjdP7y8nJy7PYWaX6m2FJuPdDckfoszTmNVXd9Wqd0XUrz+ezszJ4f+y3tr1TqF1eexpnm\n",
       "CqVjku7lYunq6sqWtVqtJscp16TzYx+n8e3sG6p2Wzt0DFIfpzHSMXDxkfZXnfGsymtR595pLdD1\n",
       "2+X7ND5alhuvKp+ftY/GvfZn0tqha4/b13TjNs2DVLexrSlvpbVBc6hbc9Nc1z7XXKJSO8e43vV5\n",
       "SduZ4tzRPk9lpbrrHHLzPd1Lxyjtx90YaL27905c7kg5r/M+o8rnb839KZ+mWNN5kMbA0bhNOTX1\n",
       "wzimu+xhPqtbyoOuXzXW0t4t1U3r4vaKaQ+r59O9x3nS3bslqa4u12j/7zJnqj7mjrQfd3S8Os/D\n",
       "SvsotbM7390YpHp393Yud2i9071Tfu48+6W9WjenpjEa9zEpn6Y9T3qvoFy/6XxL43l+ft66l5uD\n",
       "3fFOucP1q45naqfbq1d9HCMXT2ld0Xqn/bWrm+aV1M60t9MxcHMqzQHto+69Vec5ItWts4et8vlA\n",
       "xzOVleb72OdpjTo9PbXnu/PAjVFnXanKObTzbj3NEZX2/q7uOn/TfE5ry/X19eTYzal0L+2j7veL\n",
       "ST3sLwEAAAAAAAAAAAAA/7/BB2QAAAAAAAAAAAAAQFXxARkAAAAAAAAAAAAA8I4PyAAAAAAAAAAA\n",
       "AACAquIDMgAAAAAAAAAAAADg3Wy5XL7ZC2YzW8D+/v7k+Pn52V4/n8+3ntPfpnsfHBzY86+vr5Pj\n",
       "t7ftTX15ebFlaTv1WLl7aR/s7fnv+Le3t/a8luf6LbVTpT5O4z3eb7lc2mtTO09PTyfHd3d3W6/t\n",
       "xk7qFxe36vHx0Z5fLBb2/P39/eTYxVLSqXdVHoP1ej05dm1drVa2LG2XzleVYrHj4eHBnte6uLak\n",
       "OXB0dPT1ilXVxcXF1nM6By4vL21ZT09P9rz2qZY/Su3UeruyPru3+vHjx69/p9yR5rv2w++cUylu\n",
       "073Gtu2yfn72+8PDwz9dN50jaQxS3TRW3brX3Xeke19fX289p32U8nNaK7RdbkxTbOi9Ur+kMRrH\n",
       "NLVD75Xu7dqp+TPl37Qn0vLcvdOc0li6ubmx16d8Po5p6rOku0Y6+ttUt81mY8936pb2RLpWpNh0\n",
       "+xQdzxRr3fl+cnKy9drz83NblsZOinOXH/S33T1NKs8946R8q32a9pXpeWp0dXW1U1l63sVaKktz\n",
       "y/Hxsb0+7cfGtqX5l8rS8U5tcXmtm4fSfNe9gNsruue8qo+xmGLT5T1tV1o7Uu7QOeniQ5/7lNYl\n",
       "9bGLDx3PtBdPsdOZ7+leOn5pj5Ry6Di/03i5Z6/P6pbymntu1H5IcyrFteYxtx50352luo2xmeJS\n",
       "3yEojdvUbheburfvvv9K93K5JOWO7vsMdy+dIymXpHmgdXOx1N1XJG68dTzT821aOzQeXOym/bKW\n",
       "lZ7F0hiNv099nOqm/ZCud2PQ3Quk5yXNoe7eqd4aD+65v8qPd3cdSnlN962d/ZbS3LLL9wid67t+\n",
       "d9HnZ5cHu3GdYimVN+axtE5130Ht8mzeXac6OTc9J3SfQVOsubymv02x1H0/5spL67HeK/VL551T\n",
       "Kiutx1q31BZHxyDFh8P/gQwAAAAAAAAAAAAAqCo+IAMAAAAAAAAAAAAA3vEBGQAAAAAAAAAAAABQ\n",
       "VXxABgAAAAAAAAAAAAC84wMyAAAAAAAAAAAAAKCqqmar1erNXfD09GQL2N/fnxY4m9nr3962325v\n",
       "b/o9ez6f27JeXl5adXP3fn5+tmVp3fRYuX44PDycHKc+TnXT8h4eHrZeq32iXB99JvXDWF4qe7FY\n",
       "2PO3t7eTYxcf6V6Pj4+T4+Vyaa/XPlZjn69WK3ttGm+N6zSn7u/vt547OjqaHGu7u3SM3Jjd3NzY\n",
       "snT8dokP7YOTkxNblpsjVVWvr6+TY5drDg4ObFkqtTPN91Fn/n1G2+nyQ7pXZ35+pbz1ev3r36lP\n",
       "0nkdozQPXN00Di8vL21ZKR+MY5DqlXKkzncdX6VjNuqsK1U5T2ldXGymtV3vlfKz09knVOW41bq7\n",
       "PJhyh65LKT7S+t65VvshjYlr5/Hx8eQ4rbddLvbOz8/tbzV20vimeTDmvVRWmp+aO9K9Xa5J+44u\n",
       "jY/NZrP1Wpdnqj7G9Zj7u3QvkOZYylt63l2f5oiuUynXdO61azt1/Fxspjykc6q7F3RS7kjrsf7+\n",
       "7u5u67Vp/moOTeOf9gIXFxf2/CjNER2/tEdy81djx/VZVX8f49ailPO0Xamdbg+lfZba8f37d3te\n",
       "856bo939VZrvbt3T+Zb2ldfX1/a8zhOXa9K+Q+uS5pTuedXYrynfpnVK+zyt365u3XcQP378sOe/\n",
       "ffs2OXbrfdoLaN06++s0Z7rPCWltcLGr451yQ4pNHf9d3gto3dKYuPO6v059lnKNxq1bv7t70u7z\n",
       "00jHL8Vl93nJjX/aV+h4p1yT9gLjGKb82+2H7jurkY5PunfaK3TXNaf7Dqrznj7Fefd7hJsHqd56\n",
       "vvscObq6umrdO42P5grXx9292i7vwqumbdsl32pZX7ne5QONjTQGnbzWfb5N0pi5edB5lq7Kca3x\n",
       "4eZoWne63FqhY53a0eXGoJvzOt8bFP8HMgAAAAAAAAAAAACgqviADAAAAAAAAAAAAAB4xwdkAAAA\n",
       "AAAAAAAAAEBV8QEZAAAAAAAAAAAAAPCOD8gAAAAAAAAAAAAAgKqqmm02mzd3wevrqy1Az6frV6vV\n",
       "1nN3d3eT44ODA1vW8/Nz61739/f2euftbdpNqW77+/tbz+3tTb/bpz57eHiw5+fzuT3foWWlur28\n",
       "vNjzY1u13erp6cme1z535aV6629TLKXyZrPZr38fHh7aa9N46r3Gsj+zWCy2ntN2pTFI/XBycjI5\n",
       "vrm52Xpt6rPNZjM5Tu18fHy050c6X5Xrs89+73JH6lO9V8odt7e3W8/pb1MspT7V+evyVvdeqZ2p\n",
       "bmO/prJS3TR2jo6O7PUpr41cn1X15pyugSrlluVyOTlO5f31r3/dek5/u+ta0Jm/aS04Pj6eHLs5\n",
       "U+XXSB2fNF4pFrWfXN10vJT2WerjFNdjv6ZY0naktWG9Xm89p/k0jW+S8vsoxZ2OZ7df1DhGKTf8\n",
       "/PnTnj89PZ0cpz2sXj/SeqecmdZIjQfXL6kfNNekMXBxrmWlOZHiQ/OBe4ZJeUjvtUuu0d+m2Ei5\n",
       "pnNvt+/77F6pbmkMxvJ2XW/19+7e3b18amdaO9J6PUp10zUv5W+XD7SsNAa7Pk+5eyvNU91nv5HG\n",
       "QurjNN91Hrg9b+pTja3u9SPdR3Sf1dTV1dXk2I1/Kkvza9rzdMYgrXkut392Ps33znNj5x3DZzQe\n",
       "XC5J7dQ+7+wVUp+k/Nx91+biQ9f+lJd+5zvFFOc6Pml8v337tvWczr+0d+s+y7sxS/n58vLSnldu\n",
       "n6IxnvYhaQw0dly/pTzT3Y+l/D3mg7Q/Ss9Duo7t8s5Y+yzNmbTv1H5za67GudLxS/Gh7xGc9Mya\n",
       "8prmd/dckmJH+yi10423xk7KHd3naRcfqU+778LT+fF+ab1Nc0rHu3NvpeOT7p3uNcZP9113sst3\n",
       "HK33Lt8Lq3rP0+leGqcpb7k5p7k95dvuGDipnVq3NAddPub/QAYAAAAAAAAAAAAAVBUfkAEAAAAA\n",
       "AAAAAAAA7/iADAAAAAAAAAAAAACoKj4gAwAAAAAAAAAAAADe8QEZAAAAAAAAAAAAAFBVfEAGAAAA\n",
       "AAAAAAAAALzjAzIAAAAAAAAAAAAAoKqqZkdHR2/2gtnMFvD09NS6fn9/f+u5g4ODyfHj46Mtaz6f\n",
       "2/P39/eT47297d/LU731Xuneb2/bu/Xl5eXL11b5eld9rPvz8/PWa13/f1a31C86Zmocg3Rt6gc9\n",
       "n9riHB4eTo5dn33l/Ni2dG3qU63bw8ODvd71g86hNAZpzi0Wi8mxa6u2Q+lvU93cnNOyNI5VijXl\n",
       "yuvmgjT+375923rux48fk+P1em3Lur29tec1f7sxSPdKcapSXhvrlub66+urPa9xe3Nz07reSbGW\n",
       "6ja2bZf1s+rjPEh97GgfpPFNuUPzgWurxqXSOZfq5vohjZ/6nXuFND/1t6vVyl6f+mEsL+VnzVtp\n",
       "TJbL5dZzGpcpjlN+1n65vLz88rVKxz+tQ8kYH2nupz7Vfuq2ZaR9msZf98+pbm7MTk5ObFlXV1eT\n",
       "47TWuLppH6X9WOoHHUM3Zil2tC7p3m4d0j5I+Xez2djz+nvXb6mdGht3d3f2+mSMrV1zR8rfozQ/\n",
       "u9K+Yrxfuncq6/r6enKc5qCbU9rnu+wrPivPxZq2Q+l+OcWaW6dSvlbpXkdHR5NjN9/T2q17hZTX\n",
       "XDu7e57UL9oPLtek2NF7pXameTDmtbR/Su3sPpu7nKxlpb1gWit03XN5Lu0jtM9TnI/l7fqOQaV8\n",
       "3ykvtTud1z518ZLmmObjFEtuT6T1Sn2S9nadPXB3PHcZA50ju46ncmPWeV9R1Xtn+JlxTFMsdWMn\n",
       "5TmXJ/W36V1KZ79V1Xt3rrrvhF1O7da7+37M9Vv3uSD1i2uLxmHK9Wl/rXVz5XXf+af5nPaKnfhw\n",
       "+6eqj+8cUn5wddd2pvnZ+SaU8nP3WS49l7i66xzR536V5kHne5XuxZWuiSmnun7rfl/oXu/u3f32\n",
       "kWLN1Y3/AxkAAAAAAAAAAAAAUFV8QAYAAAAAAAAAAAAAvOMDMgAAAAAAAAAAAACgqviADAAAAAAA\n",
       "AAAAAAB4xwdkAAAAAAAAAAAAAEBVVc2Wy+XbLgW8ve3084mDg4PW9c/Pz/b8bDb7cvnp3re3t5Pj\n",
       "l5cXe/1yudx67vX1dXK8t+e/48/nc3v+4eHhy+Wleut4pntrH7v77e/vt+6daD926L3SvReLhT0/\n",
       "9tPj46O9NvWDxnVqpxtvjcO7uztbVncM3LxJZWk/HR8f2+td7GqfpbhN56+vryfH3dw0Ojw8bN1b\n",
       "c40rK+XAFLc6Bm7MUu7QdrkcWJXjerxfyjNpfO7v7yfHqd/cGOlvU9303mqz2fz6d3e8Ut12yd86\n",
       "3qluV1dXrXu5PNiN65TXXDs15lN+TnGrsZjGwNG6pfFPc24sL80Z7bMUxy536L3S+I5z4jP6e83X\n",
       "o6OjI1uW9mmaz6nu4/1Sn+2yrnwmxe4o5fNUt6enpy+Xl8rSOZWu13XQlZXyUpqfWheXa1Ksaeyk\n",
       "+ermu7Yz5aXUTv29PleMXP9XfcwFneeEJOWGNOfS89Yo7WG1T9P1Omfc/VKfpbL0fCrPjamut6mP\n",
       "O+NZ5cfU5faqj+1arVb2ere/1thI8/ny8tKe1/Jc3dK60p1TneeIVJbLBZ/93rUl5SHtsxTnaV86\n",
       "1m3XNU/7Le07XVs7722qcn7XfnC5KN0rjbca9x1pbbi5ubHntW6p3W7Po3GZYu/8/NyePz09teWP\n",
       "uu+BUr852q40fuleWnfXx93nodQvLjY1xtO9U07Vflqv13+qXlUf47r7fKXGfupc+xndZ+7yjNON\n",
       "tUTr0tmfKc3vae1w+2/d45ydndmyUm7R5xA3BmnfobG2y3ueznuZqjznNBZdfLj5VvVx/Lr7cTXW\n",
       "Pe1hU47UWEt7C9dvmitSH6d+GOuS5lMqS+Nhl2ec7hqXcou2zeWt7ruW7vvuXa5N+Vv7zfVxaqe2\n",
       "K42n61P+D2QAAAAAAAAAAAAAQFXxARkAAAAAAAAAAAAA8I4PyAAAAAAAAAAAAACAquIDMgAAAAAA\n",
       "AAAAAADgHR+QAQAAAAAAAAAAAABVVTVbrVZv7oK3N3u6ZrOZPVZ7e9u/Wb+8vLTufXh4aM9refP5\n",
       "fOu1T09PrXuluu3v72899/r62rr3wcGBPa/t1ONdaF1VGu/xvOv/qn69Xb+kPl0ul5PjNJ4PDw9f\n",
       "Lu/x8dFem+6lcyS1xcWajk/q4zSeei8XH6msxWIxOd5lDHQ8U9ymex0dHdnzo9vbW3t+tVpNjq+u\n",
       "ruz12paRtivlhjQGNzc3tvyRy91VVaenp5PjNA+Oj4/t+THuf/78aa/VWFJpvJXrBz23a77dbDa/\n",
       "/n19fW2vTe3UdSrFmhtTjcPUzjTnnp+fJ8cudtNacXl52bre5UhtV5pTaR5onjo5Odl6baq35pbO\n",
       "evuZMRfp3E91S+PrYlPrle6ddOJc86/S2Li7u7PXr9dre36Mp136rOpjPkjrkht/7SMXl1U5f3fm\n",
       "jVvTPqtbyteuPK1Xmq9pjPS8K687n1Pd3DOOnkt71O6+042ny6dVVff39617p34b1w5dR9TZ2Zk9\n",
       "f35+Pjl2Y9DdX+3yXFg17bfuM6nqrmtuvusc2PXZXMfbjanGktJ9ZJoHbry7++s0Rp33I6ksrVuK\n",
       "JTdGnee4VFZV711L2kdqP6S1o5PfUyyle6U+d/dW3ef8tFfQ3+/yvkvrlvq4s+dJ+yfdG6Z4cbmm\n",
       "+24sndf4cPkh5Y7Os3c6r8/eaX+d4lj7wd07ldV9jnS5RmN6l3djVR/HyK2B3XdjKdd09jxpPU1r\n",
       "nvZ5ynOuX/Vc2o9131//zve6acxcLGqe2nU89V4uNlNZOkfSM6vrB71Xune3H1zdUmxoO3fdp4zz\n",
       "+y9/+Yu9Nr070/FMsebmia6vaU6ldxrjPNn1nVGXy6E6P1M7E40HF7spR+r+KtXN7Ym675uTFPej\n",
       "9N6mmyNt3H65VgAAAAAAAAAAAACA/9X4gAwAAAAAAAAAAAAAqCo+IAMAAAAAAAAAAAAA3vEBGQAA\n",
       "AAAAAAAAAABQVXxABgAAAAAAAAAAAAC8m63X6zd3wevrqy1gb2/6Dfrl5aV1/ejg4GBy/Pj4aMua\n",
       "z+f2/PPzsy1/9PZmu+FDP6TrndlsNjlO7Uh9qu10fbxcLltlpfFPdRtpu1XqB+3z/f3931Kvr1gs\n",
       "Fvb82DbX/1VVl5eX9rz+Pt379vZ26zmN+cPDQ1vW/f29Pa/96sYszRGNxTTfXew+PT1NjlerlS1L\n",
       "41xprD48PPypen12Lxe36V5ar9THaU4dHx9Pjm9ubrZem3KBnl+v1/b6lA/GftLxVXd3d/a8xlaa\n",
       "B64fjo6OJse7rAVV0zFKcZlygc7PVF4a013unc678U+xoePn5kyVjx/Nt26f8JW6aZ+7OZj6VOud\n",
       "xjPllrHuKW61bune7rzm4zRf0xhon6byOlK/dPo4xUrKayrl85TXRmnOpPl8dnY2OT4/P//T9/r2\n",
       "7VvrehcfmtPSXqC7drj4SPfS8evu7Sm5sKcAACAASURBVEc6P1NZ3b2828emvKV9lvZIbg+r90vt\n",
       "SHNO2+nmYJrrun9KUjvHuE65Ic0RjcW0v3a0z9MYpH7T2HKxlvKx7tVSrLkx02eztA6lMdB7ufHv\n",
       "Ph+7PWqVHyMtKz2zprrpGLlclPYRWrc0/p39WMqRaT5rn6Y56tbrzrN0VS9HVvnxT33WXVvGunef\n",
       "A5TGYhp/Nwd1/qb5muaBjpHLqWmN1LJ2efbrvhf4ne/H0r20T9Pa4PpBxzOVdX19bc/rGunaktqp\n",
       "sZDWjs4+JuWZFLfdeeDup3Gb2pnWYx0jF5tpvLUuu8wDbWcar5S/O/ux9B5W50jK547GzsnJib0+\n",
       "5Y7O+7Du96W0h005dIzrFEvdZ/P07O3K63yr+orxXuk9bDfWks6eJ41B9znDxaa+t1Xd5yM35zS/\n",
       "pvHs5nfXLykOO+8nq/x85v9ABgAAAAAAAAAAAABUFR+QAQAAAAAAAAAAAADv+IAMAAAAAAAAAAAA\n",
       "AKgqPiADAAAAAAAAAAAAAN7NDg8P7V881z/erPSPOac/oO7+wLP+Uer0x7tT3TrXp7K0Lp0/FK92\n",
       "/QPpSv8Itvuj6Knei8Vicuz+KHlV/iPnY7+tVit7bfoj5joGWtdR6mO9lyurKrdzjN0Ut6lP9Y/e\n",
       "X15e2us3m83Wc/rH2VM70nmdv27eXF9f27L0j9qnfnN/tF7nQJrPrqyqXl7TdihtV+pjN3+7fXZ3\n",
       "d2fP65x8eHjYem2aU1oXl+u/Ut5IxzfdW93c3EyO05i5ftvf358cp/mcYnH8fcpDOp+Vtivle3de\n",
       "25XKcrHzWd3S9Y7O3xQfboxSLlA6/sku99Y5lMY/zakxJ3///t1eq3kotfv29vbL9UrtcGta1cf5\n",
       "vlwut157dXVly9L5mdqZ5vtY958/f9pr03jpWpH6zc0DjbU0n1M/6L1czkzt1DFIfezKOz4+nhy7\n",
       "uKzK+85O7KZ26jqU1ga3Hmg90tqRco3+3rUzjU83d6S9wliXdO/UTv29q1v3GTPNz04/pPUx7SN1\n",
       "fqc+dvNA6536uNtvbs/rcnvVx3rvskaenJxMjnW+qjQGyvVLd46cn5//6Xtpn6Y+S/trXQtcv3Tf\n",
       "ney6Ho/jnXJ9upfOSV1rOnXr7jtTOzvSOqVrZtpfj7HZeVfyGW3nLvle65LyUpoHei+3T3U5repj\n",
       "n6Z54fpBy0rjm9YWfS/g5k33nWK6txtPnZ9pPC8uLux5zam7zDHNqWkepDk1tnXXdUj7KcW5W3N1\n",
       "n/+Xv/zFlpWev3QMXFvSHlfrlnKNmyc6Pul9Zlo79F4u1lJc65xLuUb3NSNd29Mc+Pbtmz3/xx9/\n",
       "TI5djkx5SudvyjWpvDE+Ot8uPqN1SbHm4kPnYyqrs/9O7Uxxm/qho/vu7Hc+y6V+0DVul3eK3XdK\n",
       "SWfP3P1ml+pmn4+/XCsAAAAAAAAAAAAAwP9qfEAGAAAAAAAAAAAAAFQVH5ABAAAAAAAAAAAAAO/4\n",
       "gAwAAAAAAAAAAAAAqCo+IAMAAAAAAAAAAAAA3vEBGQAAAAAAAAAAAABQVXxABgAAAAAAAAAAAAC8\n",
       "4wMyAAAAAAAAAAAAAKCqqmar1erNXjCb+QLk/OPjo73+4OBg67mnp6fJ8Xw+t2Ulr6+vk+Ojo6Mv\n",
       "X6teXl4mx3t7/tu7tsWV5frkK56fnyfHy+XyT5e1v78/OU7jqderh4eHL1/79mZD8cMYuTHo3muz\n",
       "2djrtY/VOKapHZ2yvlKem6OHh4eT49Qv19fX9rzGqps3af5qu1I73Xmd26msFNcaW517q27uuLu7\n",
       "23pO49RdW5XHYJyfVbvlIs15qZ0pT411SXNG41zd399PjlO+d3XXPkvtuLm5sefH+Zv6P63Hi8Vi\n",
       "cqztVi52f/z4MTler9e2LI3zROs6cutnVdVqtZocp/nsxqA7p/TeSnOsyx0prrs50vVp1bSfUizp\n",
       "eKayXVt0jqR1JtH56da1lBs01tKYpH4bpbmf5rvGWorN4+Pjrec0F6TckPZEKRZHqR9UyjVuTG9v\n",
       "b1tlpbVAz7s8l8r69u3b5Pji4sJe7+Jaz+m6pNJ46V7BXd/dX6c4T/0w5o/UDh1/pXPErTXd/VPa\n",
       "86QxGqVYcnP9s7qk9dnlFp1DKQem8ezMgxRraf+tXPxoPVLuSLGo+du1Je15urHm6qZldd/zKI1V\n",
       "N9/TeGqcpnmQyhv7NeWGs7Mze173mSmvuTHQPk3zM91L46HzDkql3KKurq5+/TvVMz0vjWV9hWtL\n",
       "dx3q7q/dHirtI7vv7dzakfZq6d5KY9Otg91nmPT85J4NNNen+Zz6VHOLyzXd56V07zQHx35IZaUc\n",
       "2H3/4crTOZDmTKqbjqFra/f9SNpvdZ7l0nqb5oFydeu+U0ztcGOgsZD2vOl5WstzdUuxoWtBqlvK\n",
       "B2Nd0nil8dYxSGPmxlvLSu1M82Bc+1M7Uy7QdqV9qssH3W8b3fneeW+r9LepX1zdOnnlK/fqlJ/G\n",
       "pzM/q/wY8X8gAwAAAAAAAAAAAACqig/IAAAAAAAAAAAAAIB3fEAGAAAAAAAAAAAAAFQVH5ABAAAA\n",
       "AAAAAAAAAO/4gAwAAAAAAAAAAAAAqKqq2WKxeHMX7O35b8yvr6/TAmcze70rT8tK907091r+LmW9\n",
       "vdluq/l8vvXc8/Pz5Pjg4OBP16uq6uXlZXLs6pb6YH9/35atXDurqp6enn79e9d23t/ff/neaXxW\n",
       "q9XkeKznZ7Rf1NhPOr5dqU87tB9Sv3TnnOu31GfpvHKxq32WxjO1U+Pj8fFx67WpTxeLxZfLqvLj\n",
       "r/MxtePo6Mie//nz5+R4vV5vvTbVW8cnzYM0/icnJ1++9uHhoXWvVDcXPzqeac27vb2158e8+Lvb\n",
       "2V2/R4eHh5Pj1Gcpb2n8dOaz0nYul0t7/d3d3dZz2q6UO9Ia2uk3jSWla16Kj7TGjrmqu1e7vr62\n",
       "12vOdPVKOTPlGs2D7t5Jd/xTH4/xscv8+6xuiStvzKdVOS9112eXm1I/6Pld4lzPpZzpckPVx1zk\n",
       "Ylf7WOl8TvPAtXPXfabSfODqpjlOaRzusuepms7JVFbqU627mzOpj/W3KQ/p+Ktx/7XZbOy1qZ03\n",
       "NzeT4zQH3ZzT9TXljnQvHUN3fVqndAxSHzsah2lfkcZAc4srL+UpbWeag24d6+7tus+FnfcfStf2\n",
       "tEb+zmfatO5oLHbj3P02tSM9y+m93LxJc6Q73uO9u2tDuncaE9dvOgd2eQf42b1c3VLe0lyQ6uZi\n",
       "SX+b9iFXV1f2vLZzl3dt+k4htbOzj0xlpb26jp+umaO0R9F6p/FPz36jtOdJ+w6dB2lOubVD4zbV\n",
       "LeUDXQ/cmHafWVPd3Fqk+XbXd8Taby7Wuu8YdnmO1Lj+/v27Levf//63Pa9x7erWfZ+VpO8VY/yk\n",
       "PktlqbRmutjtvrdLcd1pZ+pj/X3qFzffdQ6l/Nx9xu28O09Sruno3vv/Ye9OliNHlixMq3PwiUNE\n",
       "3rut93+zWlXdiIwg3Unn2Bt2iOGQfg41QelF1/+tEgLQYIOamgHIEFc6Bq7fUmxoXkvvP9x48i+Q\n",
       "AQAAAAAAAAAAAABVxQdkAAAAAAAAAAAAAMAbPiADAAAAAAAAAAAAAKqKD8gAAAAAAAAAAAAAgDd8\n",
       "QAYAAAAAAAAAAAAAVFXVYrVavboLXl5ebAEnJ9Nv0GdnZ/b6p6eno+deX6dVOT8/t2UtFovWvbT8\n",
       "TlnazuVyaa93/ab1eH5+tmW5ele976fD4XD02lRv7YdUt1TeWPfHx8fWvbvnj933IzqeqZ0pFken\n",
       "p6f2/Gq1sufv7+8nx6ktd3d3n66Ltlul+a7j7frNzfWq9+OZ+u3h4eHoOW1Xdz4rzWOunamsbqy5\n",
       "8dax/uuvv/5xWVXvc0UaA+f29nZyvNls7PXb7daeH+MnzZlEY3HOOqVzxOXbz9xrjOvLy0t7bYqd\n",
       "7vVuvuv4pHam+X51dfXpurmcVvU+H6dYcnP0x48fk+OUO9J4ap+68lKfdcc75QNdWxzNt+v12l6f\n",
       "cs2o24dK48PNm/1+b8vqrGmfMcZaKivlW42d1BY3RinWlFtvq97X3e0F0727Y+Dyg+aGFEtpndK6\n",
       "u7ql/K3zL+Utl3N1vnVjSeka6+6d+lT7KPVxZ2+/2+3s+ZSnlHsuSeOjdUk5MJ0f50GaAymH/vr1\n",
       "a3J8fX1tr+/kh9THaf3W8Xb3Ts+YKq1xru6aXy8uLmxZKUfqGHWe1ZT2Uaqbm1NarznPmFXv57eb\n",
       "o+lZWuuS3ht0+i3FUppzmiNT3Vy/dt93dZ8b3fWpz/RvU34e14OUl5LOHrXK103PpefI9Cyv892t\n",
       "gylH6t+me7u669+mfWK6l+YaF5vdd0Yp17jyOv1flWNR+8HN57SH0bp0372ocY6m+ZrykPZDyoNu\n",
       "Dmq75j4XduZ7qvfNzc3kOO3f3L21z/T9herOOdcvKW41dlK/uFjTuE7rTPc9fecZRunfdt7Df2Sc\n",
       "o3PybdX7uqVc5OaJ7q/mvIfVunSf1ZTWO8VmmgeubKXvlJWOkZsHKUfqmtddI0faR2nOpHmg93Lx\n",
       "ke6lc6gzXop/gQwAAAAAAAAAAAAAqCo+IAMAAAAAAAAAAAAA3vABGQAAAAAAAAAAAABQVXxABgAA\n",
       "AAAAAAAAAAC8WSyXS/vrzenHvPUHmx8eHuz1+oPtTvph6XSv7XY7Od7tdkev7f44e/qhakd/+Pv+\n",
       "/n7WvbQftN0j98PfVe9//Ft/3F19//7dnh/vl+6daDtdbF5eXrbKSj+w7n6cPdVFpX7QH5Z3cVvl\n",
       "40N/CD61s8vdO83f9CP1X1WPjzw/P9vzLy8vk2MdE3dt97xybdF6ay7plFVVdTgcJsdz2qlxncY/\n",
       "5dzxfMqRKQ/9+PFjcvzt2zd7vct7OtdTjky5YezXNF5pvHVOpXu7uuv4pRyY6Bi6WEvzU+t2cXFh\n",
       "r9c4H2mfpfHs5hoXu64Pqt6Pn2tHVR6jsd9SbOj8TPfWvcPo9vZ2cnx9fW3LSnGuY+T2PPv93pal\n",
       "45P6sDMGaY+aYknHaM6amv5WpTmoXL+lsnQepH2K20NpPdJ8TuuQxrWrW3q+0fFM65obs26fpbjW\n",
       "v3exlOZU5zmvqjdGqexUlvb5v/71r09fq3RPlOaYy5Eq5Zkk5VDlxlvPpX5JzzhaN9dvKa517U/9\n",
       "5srTOdJ99ladOZrykD4Hputdn+q51M4U1528lu6lY9DZP6f7dd9/KM0t6T2DK+/379+TY7eH+eh6\n",
       "pWPkyuuur2nMOs9qac+r8zfF+Ve+R+iW5daiNGc0blNsuj2Ujk+aE2kvoPeas7fT+Zuud/m7u+fp\n",
       "vntxsZbmgM711M50fozFNAdSP+g6NWcPpe1Mc0af/ZSu3668NJ66L53z3rbzvrkq94PueVxbUg7V\n",
       "uqV7u1jT2JqbO7Q8N/7d59/03JHW7/F+aU519wpz5rvGRhrP9E1gXHvSc0D3vW4qz+2JtV1zvqNV\n",
       "ve9Tt+Z2v2Umrt/0XIq19Byh5uRINeeZlX+BDAAAAAAAAAAAAACoKj4gAwAAAAAAAAAAAADe8AEZ\n",
       "AAAAAAAAAAAAAFBVfEAGAAAAAAAAAAAAALzhAzIAAAAAAAAAAAAAoKr4gAwAAAAAAAAAAAAAeMMH\n",
       "ZAAAAAAAAAAAAABAVfEBGQAAAAAAAAAAAADwZrHZbF7dBScnvW/Mz8/P/oaLxafLOj09tecfHx9n\n",
       "/f3o7OzMnn94eJgcb7fb1vWjp6en1r1Xq5U9v9/vJ8ebzebotff397YsHe+Xl5dZdbu7u/vz36md\n",
       "r682FN+dd+Ob4lDbdXl5aa9PsebKVmlO6b1SHLt+646nxqbSuswZA5Vygzuv51KfHQ4He17nt5vP\n",
       "6V46Bqlf3JzSssb59ZHlcmnPa7tcfKT5qfM7tbOzVqS4/fbtmz2vcypd/5///MeeH6U54/Jx1XQM\n",
       "zs/P7bVpDDQ+Upy7+63X68mxrjPp3um8G9PUDyrlDncvPbfb7WxZaU5pPLj8kNZPnSNp/FM+GMcg\n",
       "xaWOQSq7s99K7UjSGHTupbGT2plibRzTtN9KuePq6mpynOaYK0/XtL///tuWlfZrnfU9xYbeK+Wa\n",
       "zvjP2Vd8dC+XH1JZOgYpz7l9h8Zp6pO0h9XYcvdO9dacmmIpxfU4h9OalmJNx8jFsa6Brl5VeT6n\n",
       "dl5cXPz579TObl7r5GeluaK731JaF9dvKc9oLHaf/VxZbg5Uzc8tozQ+ev7m5sZe7+Zcd36mfYqO\n",
       "t+vj7pxK8yDlvbGf0nubbm6ZM6e6e7s0BrrXcG1NsaN5KuWtcbzTtWl+aiymPZQbf+3T7vNwutec\n",
       "vf2PHz8mxyk2XS7RvUDKO9fX1/a8tvPXr19Hr03t1PGcs/fvzpmU13Sf6cYzxYY+T93e3trrx7X+\n",
       "I2Pb0n44rcepLsrNYc2RKZ+n+NBYdXuBNJ66DnWvH2kfpJyZ5q9ysZvGW/s0vR9zsat9NPe7i47n\n",
       "nPc8Ot+716sxdtM7/7Tu6PjNrZsrW3XeE6Z2dPaon7nexY/+bffe6V4uzrvPEXPmlK4Fac6k8da6\n",
       "d/b2Sts55zsq/wIZAAAAAAAAAAAAAFBVfEAGAAAAAAAAAAAAALzhAzIAAAAAAAAAAAAAoKr4gAwA\n",
       "AAAAAAAAAAAAeMMHZAAAAAAAAAAAAABAVVUtVqvVq7vg5MR/Y355eZkcL5dLe/3T09PRc+fn55Pj\n",
       "+/t7W9bp6WmrbmdnZ0evfX5+bt1Ly1buXq+v0y5fLBa2rMfHR3t+tVp9urx0Lx2f1C+pvLGfUix1\n",
       "uXune2k7tQ9VGu9xjNIc2O/39vzFxcXkWONFuTHSc2m8Ei1P5+wo9ZmOUTc2XT3SvRO9l47J6HA4\n",
       "2LI0HlJsuljUnOjyTFWev3p+vV4fvTbFbcrH6d5qHIPUznRex8DFUpWfcxpbaX6me411T2WltSD1\n",
       "Q4fG6Zw1r+p9fLhYu7m5sWXpfE+x5OZc2meodC/l5nOaU5oTU450fVo1zVXfvn2z12o77+7u7PVu\n",
       "/ut4pTmRzut4duar0vGZO8fGurj18TP36u4VHR2f1Mep7srNoxSX2g9zco22c+546vp+fX199Nrd\n",
       "bmfL0li7vLy01//P//zP0XNa77TvTPsU7XOXM1OfbjabyXHaG6TzY1v//vtve60bn6r3Y3R1dXX0\n",
       "2pTzdI6k54jOM+12u7XX/vz5057vPpu7umkeSnvYlKceHh4mx24M9NpUtxRLLna1z1JZqR/0XnOe\n",
       "gbUf5rRTYyHtaVL+1nni1uPUB1oXFxvpXlXTvJfWtBS3ej71m7ufzt+UO7rv4ly/pRza3SuMuSqt\n",
       "M0l3z+vGX/82xUrqY83JnXcSSscrrQ1uPus+opt/U93cWtR5vq2avyfu3DuN9+3t7eR4zt5O+yjN\n",
       "g04e7DxzfOZec/b+eq80nt33I+76zj7xM/d2dI6kZ5I05zQe3H4srSvdfYXrN613amfq085zRHdN\n",
       "S/Mg5bXxPW5699JtZ4rNzveKlAM7+7W57+20T9M+xdVN+7ST6z+iz5luTLu5I81nV562K41X9xuP\n",
       "mzfd/dKcZzn+BTIAAAAAAAAAAAAAoKr4gAwAAAAAAAAAAAAAeMMHZAAAAAAAAAAAAABAVfEBGQAA\n",
       "AAAAAAAAAADwhg/IAAAAAAAAAAAAAICqqlosl8tXd8HZ2ZkvYLGYHL++2uJseQ8PD/ZvO2VVVZ2c\n",
       "nNjj0fPzsy3r5eWldf3p6emnz2kfKlfvqvd9/vT09Olr1Wq1mhyndqa63d/f//nv8/Nze632sdK/\n",
       "f3x8PHpt6lNtV7o+1T31w+ju7q5VVopz1w/ap6mdOv5K48fFR4odLcvNmaqq5XL56Xu5PvnMvbRu\n",
       "7t5dKVbceOvcTmWl8dR+m5M79G/TfHb3qpq2LbVjt9vZ85vNZnKcynNrkZ5L/ZJst9tP3bcqj7f2\n",
       "eYpblw80DtN8TnNO++ny8vLotWk8v337Njn+/fu3vd7FmrYzjUF3nXL9lubAGBtV/XVNjfHQnc9z\n",
       "aL6dkwOr3tfNrandNS+Nbzo/tjXdO5WlYzRn/LWsuXuazlqUyuru/V3+7qxpVTlHHg6HybHLW+le\n",
       "2s4U5y4+NN+m+ZxiTeui7R7pepqk8b+6urLnb29v//y35kSV9nbjM0mV75c0ntpnaV+Ryhvn99z8\n",
       "rHVLa6SLRe3TufuUzt4/xa3GYloDUw7t3LsznlW+j1M+1jUu1c31g/b33D3sxcXF5Pjm5ubT91Ya\n",
       "W1q26oxRmp/7/d6eX6/XrXu7MdDYSO8FUt21Lq5uaQ5onHbe3XTjWOl6nGLT9bHWJcWeW/Oq3uc1\n",
       "V163j92cSffSPktxmXSecdN63H1H7MZT65X2bt39tatbd/7NfXc69lt3L57ulerm1qnu/jrtcTv7\n",
       "znQvrdvc58xOWalPO/2W6qVxP+dZPcW1SjlS85R7L5Tmb/c9fRqDcT2Y+55H2zlnr9jZJ1blfktr\n",
       "7Ej3NErr1s01o/E5riqvHd3vcp3vMKrzfanKj5H+7ZzvhVW99XzuXl65Oce/QAYAAAAAAAAAAAAA\n",
       "VBUfkAEAAAAAAAAAAAAAb/iADAAAAAAAAAAAAACoKj4gAwAAAAAAAAAAAADeLNbrtf3F5fSj5fqD\n",
       "2peXl/Z69+PenR9fr8o/mK11d21J7dQfsU4/cp5+NHuUfkA70X66uro6eu3hcLBlaZ+mdqQfok8/\n",
       "9j5KPxSuY+SuT32qP96uP+6u0niPP0R/f39vr00/cq7jmWJTf/x9pPVO45/ovTpxrnT8unPQnUvj\n",
       "lcZA/97F036/b5U1xkq3btrfmn+VxrnSWF2tVkevTe389u1bq27p/DgP0nxOa4X2m8uRVX5t0VhL\n",
       "cyrVbeTm8mdoOzebjb3e1U3jNI3Bjx8/7Hktz8V5qrfGTprPaW0ZpZyWzusYuryWytI+T+1M5Y1/\n",
       "n9bmlKeU29tpDkzt6OYt1+60Fqi0DqX5PrYt7VG745/i2OUP7bNuvyhtm4uXm5sbW9bFxcXkOMWH\n",
       "W4vS+KnUp9pPbt1K463n56xrWo+0nqacqn3q8kOKW91HpHUtPUd8//79z3+n+dfd+7lYSn2m93I5\n",
       "8KN7q3EPlfok9YOO0Zy9usZpunc6r/3qrk/rVOc5P5Wn8zOVlfpU2+VyTTdvpVzjYlfzSpozKa51\n",
       "vneeYVJZP3/+bF2vxn5Ne5q0V9fxm/OOSs+lPU/K7531vZs7kjHWunsapX2crnfndU6lnJrmYMrf\n",
       "o/QuVNed7vwf6fqantV1v6U0rl0cd/eR6f1Yms+jNB5pzmisufcCu93OlqVjMHeOjX2e+jjFjsZ9\n",
       "WjtcXuu+I07z9yvfKWo8pPnuYk33Cd21Xmksun5Jca3j3X3uGGm903ilftA11l3feS/zmXun54yx\n",
       "X9N4pX3nVz7L6fxO7Uz5YIy1FEupndpPKT+7/K73Svk5tVP79Cv314mbU9rnqY/T/lrv1dmHqM53\n",
       "tI/uPTn3j2sBAAAAAAAAAAAAAPj/FT4gAwAAAAAAAAAAAACqig/IAAAAAAAAAAAAAIA3fEAGAAAA\n",
       "AAAAAAAAAFQVH5ABAAAAAAAAAAAAAG8WFxcXr+6Cl5cXW4CePzn559+kF4vF5Pj8/Nxe//z8bM8/\n",
       "Pj5OjpfL5dFrU721na+vttts3bQeqZ23t7f2/Hq9/vS9tY/Vw8PD5Pji4qJ1vZPunWifn56eHr1W\n",
       "xz5xZVXluo/99OvXL3ttih2NjzQHXd3v7+8nx2dnZ7as1G/6965fUp9q7KR58PT0dPSczt80Xul8\n",
       "J3e4elW974d0bzdGWlaaf6vVyp7XursxS3GosZZyR8rf4/k0Z9J57dN0ves3/ds0Bun81dXVn//+\n",
       "/fu3vTbVW+dBGn8353S8567H2g9uzU3t7O47UnmjzWZjz//nP/+x5zXWUr85qU+714/91J0DqY/d\n",
       "2qF9oLlCuXxb1RvP1P8al909khrrnnJmdy+Q1hq3duz3+8lxivPUzs4YpDyk9da6Klf3m5ubyfGc\n",
       "+Vf1fgwvLy+PXvv333/bsrSdab66WNS/TbGW5m+nn9LY6z4ixe319bU9P/Zbamfaf+v4uT7u5o65\n",
       "YzD2a7o27a/1uTFd7+qu8zE9R3RyQ9W8Z9buOwfXD9qu1GcprjV/u5zavVf33k53vJSOn6tbWgu0\n",
       "Lun6tE6N+5IUKymuD4fD5HjOvnPOu7KPaJ/re6FRGm/dn6VYGscg5fI0Xrq2p72iyw/6t3Pzs8aH\n",
       "a2u6l9Z7zl5A4zLlktSn2g9pr+joeHffCzkpjt0cqHr/zNJ93hrpXiHF0t3d3afLTmV133eltcP1\n",
       "q47f3HeKmltcrknvR3QM0vi7WNN26RxT3fnrrk9zRKXxdLlI5/bcd6farjlroMbO3Pf04/kUl2nf\n",
       "offS507l3odqXdKc6vTbV+/t0jNRZ51KOvuOKt8v3eep1G9uzmlZc96dfVQXN5/THOh8R6vyOZJ/\n",
       "gQwAAAAAAAAAAAAAqCo+IAMAAAAAAAAAAAAA3vABGQAAAAAAAAAAAABQVXxABgAAAAAAAAAAAAC8\n",
       "4QMyAAAAAAAAAAAAAKCq+IAMAAAAAAAAAAAAAHjDB2QAAAAAAAAAAAAAQFXxARkAAAAAAAAAAAAA\n",
       "8Obs9fXVXvD8/Nwq8OnpyZ5fLpefLuv+/t6eXywWrXu5up2fn3+6XlVVJyf+2/vp6enRcy8vL5Pj\n",
       "h4cHW1YaIz2v5Y9Svc/Ozuz5bnljXVyfVFUdDofWvdyYuT6oqnp8fLRlq+12a8+P/bbZbOy1aU5p\n",
       "3Ke2uDHTOZDamWJN/z6V1ykrzQM33p25XvV+/JX2gysvzZnufHfxkeaQ2u/39ryW59qyWq1sWToG\n",
       "3fysbm9vP11WGm+VytvtdkfPrdfryXGan6mdP3/+/PPf19fX9trfv3/b8zp+KTZvbm6OntM8dnd3\n",
       "Z8tK8dGJtbT26/xM9x5jSen4pZzWPe+uT32qf5vWjs7ak/pY751y5rdv346e+/Xr1+Q4raepnRo7\n",
       "br5217w0X1OuGfN7amfa82i78bCKRwAAIABJREFUUt1cvtecl/o45Ujl1qZUltYljZkbg+6eJ/WD\n",
       "3svN2e4eN42nW1s6z1JVef5q3d316XlJ59TFxUXrejX2W7o21a2z93frY9X7MdC9gUrz/fv373/+\n",
       "O7Uz7Tt0TUzzwOWO7nNhmu9f+SzX1VmPUyx157vr47R2a6x1n9VcWSnOUz/o2v/3338fvbb7vJT2\n",
       "SCl/j23tvhdQOkZpPru66bqS9grpuVFzj4uPNJ5at04fpzyT7q3jne7tcm73WS3R2HVtTftEHZ/0\n",
       "rO6eDbWs7vtMpWPg5mzKHd3nyM6+Js2J9Iyj8eD6Lc11rUvaC6Rn1rG87l5caSymHOxiV/ssrYFp\n",
       "zmnbXDx13zGkNbLTr2k+p7pp3LvckeJW75XGwM0pbVeaf2nOabu67+acrywrrVPddqZYc+XpfJxT\n",
       "lkqx8ZXvwqt83tN2prJS3dOeqXOvTp9W+dyhe5aUA1M7tTyXv1M7NW7nfF/iXyADAAAAAAAAAAAA\n",
       "AKqKD8gAAAAAAAAAAAAAgDd8QAYAAAAAAAAAAAAAVBUfkAEAAAAAAAAAAAAAb/iADAAAAAAAAAAA\n",
       "AACoqqrFdrt9dRecnPhvzM/Pz5Pj09PT1vWjp6en1r1Xq5U9r3+/WCw+fW/18vJij1Xqh9Hrqx0C\n",
       "22dV79vl+s31QdX7eqd+SXVPY9gpa7lcTo5T3Ryt1/39vb0+jedY3vn5ub02jYH2w8PDg73exaLW\n",
       "JZW1Xq/tee0nHZPP1qsqx3XH2dnZ5Dj1cbq3xocb/8fHx1C7qVQ3bctI651yYGqnnnfj2Z2f6frU\n",
       "D2Ospbi8u7uz57v3dv222Wwmxzc3N7Ys16dV035KeSbllt1uNzmeE2t6r8PhYMtK813jYbvd2usd\n",
       "rVvK367ftF2pHYnGjhuDNEeUxp5K+X28X+p/rVvqY9eWzl6sKuctzXtuL5DK0tyS9iw6x5w0X9Me\n",
       "RvPBnL2FrlNzx0DniSsv5W/t0zQv3DzQeqe8lWh5V1dXR69Nc0TzbXfvMNI+mLtXV248U57R3JLW\n",
       "wE4/zMlDVXkOjVK9dQ6kuqU5dXl5+ee/Ux5K87d7bzemGlupD9N4XlxcTI7d/k2vTfdK4+/upX2e\n",
       "2uH2T1Xvx8jF036/t2XpfJ+zv9Z2phyZnjM0Hly/pTnV2T995vy4P0/7pzR/te4pD7r46Ly3+cx5\n",
       "3Su4+Z7K0vme2jnGR4rLtL/u7lPc3kL/NtUtPX9186CjdZnz7lSfQf/rv/7LlvXf//3f9nyaJ6OU\n",
       "GzR2Up5z+V7zVHqGSXGr8eGuT3Go/ZBySarb9+/f//x3eseQ9tfdPbDLD3qvVHb3fae791fuYav8\n",
       "/E3jp7qx5sYszRGt95xnOc07aU+T2tmR7qVjkK5Pa8u4v05x211vU2y6ftN6d99ZqLHuc74fVL2P\n",
       "tXR9531XKiuNd2cfm8rStT2ta+5e2q65z6Sd7zjd74nd58gR/wIZAAAAAAAAAAAAAFBVfEAGAAAA\n",
       "AAAAAAAAALzhAzIAAAAAAAAAAAAAoKr4gAwAAAAAAAAAAAAAeLNYLpf2F5fTjzt3fyx6zg82zy3L\n",
       "/Yi2/iC60h+tXi6X9nr9QW53L3ftZ+qmf+/aqT9Kr7RP0w+Jp34Y75fKur29tef1712/dfs0tSPF\n",
       "2hj3ac6kdurfp3vrj6KPtB9S3VxZVe/7yfXz4+OjLWuz2UyONZcody+tV8pDh8PBnte/v7i4OHpt\n",
       "aufJyfT/00ntdHX7/v375DjNZ7230j51sbZer1tlpT52fVo1bVu69263s+fT/FauH3S8U177St28\n",
       "lmLNSbGj7u7u7Pntdjs5dm3p3jvNd1ee9lHKgWk97ki5Q/ssrR1u7a+azrk0Xjrn5uztdKxTXKYx\n",
       "0LXD5Rq9NtUt3buzHqccl+6l/ZTWbzdG+/2+VVaKj2/fvk2O3XxOa4HGbYoP107t024uSeW58U/1\n",
       "1lhM+dzNZ+3TFJepHzQXuTyX8oz2WYq1Tk5Ne55E+0Gf7UYpd6Sc2DXOuevra3ttd2/n2lnlY1fP\n",
       "pfFP86CzL0mxoWWlOeX2gvq36d5p/dZ7uevTPlLHO+VUN+c0rufGscaW67fUZxpbqZ0plsZ9TMqR\n",
       "6Tmi+96gM6dSjkz9pnVzz0zdPk3xMfZD6sM0P7XeaV7ovmaksZTunXTeQaX8rWOQxsTNKe2zuc8J\n",
       "GosuNtM+UfsorVtuTv369WtynN4LpPneiYc0BzSndp+vVFqvR905lbjnEo2F9AyT+k3j2uW5dC+t\n",
       "W1ob3DzoPrOmWOusa6nPtI/mPBd217QUa9oPc3JuZ/9UlfPa2Ofdb1tK81gas698f51yw7j2uPWx\n",
       "qtdnVfNyro7f3DmlXL+lsnQezNkTd98ppjHQWEvzwNG6pTFw+w7+BTIAAAAAAAAAAAAAoKr4gAwA\n",
       "AAAAAAAAAAAAeMMHZAAAAAAAAAAAAABAVfEBGQAAAAAAAAAAAADwhg/IAAAAAAAAAAAAAICqqlqs\n",
       "1+tXd8Hrqz1dZ2dnk+OTE/9N+vHx8ei509NTe6xeXl7sea27q9vDw4Mta7lctu7dcX5+bs932+n6\n",
       "ON3r6elpcrxarWbV7fn5+c9/b7dbe+1+v7fnte6une5cVdXFxcXkOMV5io9xHuic6JalfZr62N1v\n",
       "7P/P1C31m85JN6dSLtBYm9tvoxTn6V5aNye18/7+fnKsuUS5duq9Li8v/3FZVVWLxWJyrPHirlXa\n",
       "Z2kMkrEu6d6u3h+dT3Vz99NcsV6vbVm3t7f2/FiXlG9TjtTY2u12reudFOfdPOXKS/NP/zbFx+Fw\n",
       "OHpus9lMjtN4dsfAxWbKt9rONJ+1LWrsh9RnOkfS+Hek9babO1zsdde0VLeUa8b4Se3ozs/ufnyk\n",
       "cyrNsZSLUr927qWxlfrFPRtoLKQ478yZj8ofpX2F7oFTfLhco32Q4rK7T3F102tVd/6muo3n073T\n",
       "mtbZC6TxdOvKZ+6txjFN7Ujz8+7ubnKc1mc3T3TdmbtX13ng8kPKeRo72u4O7fOU41Ju0X5y5aU5\n",
       "oLGTxt/Fmp77/v27LSuNge5x//3vfx+9NuV27dPUL531Or2DSLGjcyjNg5ubm6PntC4pN3TXa5fX\n",
       "0r00TtO7uHG+p7zV3Qt03391ylbdd46uH9O+Qp/df/36Za93ddc1MY1vyh06B928uLq6smV13wu4\n",
       "NbW750mx0albWgv0b1Ocp7VjPJ/yUurT7pxy5enfpvneXb/d+M99B6HcGGhu764NqvP+OpXVfWZ1\n",
       "5zUPpb3b3OfjUVo/tR+6c3CONH+7e0XXbzqeafzTO6rxXmnOpPdZOkdS3nL30zmUckf3nbOLp3Qv\n",
       "XUNTv7lY0xyW4rL7HtDFUvcb7Jx36/wLZAAAAAAAAAAAAABAVfEBGQAAAAAAAAAAAADwhg/IAAAA\n",
       "AAAAAAAAAICq4gMyAAAAAAAAAAAAAOANH5ABAAAAAAAAAAAAAFXFB2QAAAAAAAAAAAAAwBs+IAMA\n",
       "AAAAAAAAAAAAqooPyAAAAAAAAAAAAACAN4vtdvs6p4Dn5+dpgYuFvf709PTTZb2++qq5sj5Tl9Hj\n",
       "46M9f35+PjlerVb/uLyHh4fJ8dXVlS1rt9vZ8+rl5eXoudQn2i6tq0pjMI7hyYn//xWWy6U9r3Vx\n",
       "7Uz30tg6Ozuz12tsqrEuKW5TO7Uud3d3/7g8rXdq5/39vT2v/erG/+npyZalsejGs+r9HHT3SnGZ\n",
       "xkD7IY1/514pNl2/HQ6HyfF2u7VlpXpr3VysrddrW1bKFSrNkzE+Utymsrrx4fKk5vaLiwtbVorr\n",
       "8XyKjVSWSu105el4zq2bri2uvLTmaSxuNht7vStPxzqtkamd//rXvz5977Tv0LhP/ZL2JWM8dPNz\n",
       "KtvR3P379297fco1mgddLKU5oHGeck0a/7HfUjtSfu6uka687l49ndec69bnzl68qr/ndfVIe5o0\n",
       "3ho/19fXR69N9dZ+mFO3bt7qjoFbz1NZuq9IcZ7W0DFPprzV3fM4ab5pH6W6pXaOdU97mhS3miPn\n",
       "9tsorQXpmfbvv/+eHLv8nWJNx8DloSq/V7i9vZ0cp7Uj9Wn6+1Gq936/nxynMXBrj+7zU6x9+/bN\n",
       "nv/58+fk2D2XpD2P9ll6rkjPQGNs6ZxQ3ee8Oe9HdHzmPGN+9Pcunrq5I9Vt7OOUX+fmNeX2ktoH\n",
       "qez0jHNzczM5duOb5qfmtTT/3XmtV+rj9Lykec3FeSpLY6n7zOP+ttvHSvOgu3f3naLbJ1a9z+dq\n",
       "3HukPkvt1LqnfU1njzSX1s3todMc0TGYk2t0DqQ+SWOUzo9SO7Vu3Zw56r4LT2ue/r3bh6Q5oLGR\n",
       "+jDN0TFfpzWt+86x815AdZ+X5vbDKLWzG2uu7trO9PybdN/rOtpnaW/vcov20dxvmVoXV16KQ21n\n",
       "5z38u7LsXwIAAAAAAAAAAAAA/s/gAzIAAAAAAAAAAAAAoKr4gAwAAAAAAAAAAAAAeMMHZAAAAAAA\n",
       "AAAAAABAVfEBGQAAAAAAAAAAAADwZrHdbl/dBa+v9nSdnPS+Qb+8vBw99/z8PDlerVa2rIeHB3t+\n",
       "vV5/vmKB3uv09NRe7/rt7Ozs09d+5vxisbDHozReev5wONjrUz+M453u/fj42Kqba+f5+bkt6+np\n",
       "adb1aozV/X5vr03jqfHh2pnovXSOqdROHQNXnrYjnU/95vKBtnNu3tput5Pj+/v7o9cul0tb1m63\n",
       "a93b0Xu5elXlftC4d/k5zXU9n2Kpk0NTWWn+duPDzTnNU2mdSfN3nENpzqQc6cr+iBsDjYXUx6md\n",
       "uoa6MUjjo32e1inXD525XpXnr/aTy1s3Nze2LP3bNJ5z17GR5prUx66dWu/Uh7e3t626uRyc2qxz\n",
       "Lo1/mu/j/dK1d3d39ry2K42viw89l3JN6rfOHOzu7VK/uHVK81Aag1Q3zUUuZ6a41rLS9S4WdfxS\n",
       "bkjjrfnZXe/6/yNpj5SMY5ramegYuDmV9qS6dqR2pmfWUYrL9Hys8zfdO625nXt39/Kurele2ufd\n",
       "+TzSmE/j+fv379a93LxJuaD7HOjyXjd3dOf7xcXF0XNpbe/WrdMvaQ6k8dZ+SGuk5oeRzpF0727e\n",
       "22w2R8913zml8R/rntbuy8tLe16fl+fkQc3tWnaXxqbb86Tn2+5zhxt/7YMU5ymWNHZced24Tde7\n",
       "Pu2sG1U5p+ocdGOW5ozWLa2BqR/G/J3GK53vxoebwxob6Zkk5XvNLa6fU67Xv3XrUFXOVaPUzhSL\n",
       "OkaubulZW/thzvsxjYXuN4JUtznvFPVvUx+nMRrPpz7rvr/svv8a6fxM623qtzF+0nil/bWuS6md\n",
       "rjztg853lY/o37v9VprrWpbbP1X58dS5Pud74UfluThPuaPzzj/VjX+BDAAAAAAAAAAAAACoKj4g\n",
       "AwAAAAAAAAAAAADe8AEZAAAAAAAAAAAAAFBVfEAGAAAAAAAAAAAAALxZnJ+f+19vDro/JO5+kHm5\n",
       "XE6O9YejVfpBdf2Rev0xcHdvpT9Enu7tfphay0o/oH12dmbPu3ap1E4dz1S3ZPxh8tSOFDv6I+eu\n",
       "j1NZ2g/ph8RTLI79lq7t9mlqi/uB9hSnSmNzzvXdstIY6PiPNLbctVX5R+21z1N5nXuldrp5ovVI\n",
       "9erOue6YjTQPpbhdrVb2/DhHUxyn8+fn55PjNAddedqnab7rvd291uu1vfbh4eHTZVVVbbdbe73r\n",
       "B21XWjvSGGjbbm5u/lG9qqo2m83kOM0DV97l5eXk+Pb21paV4lbnkKvbV+bbql5eOxwO9lo9r32u\n",
       "3PhrvVM70vhrbnF5Lt1L4zrNsZS/xzFIfZxorKU55vpB53NaG+7u7ux5LU/326NUbx2DHz9+2Ovd\n",
       "vbTP0zqU8nfqp861u91ucpzys4sfXVe+ch2q8vk+3UvnUOqXTj+k8UzzU8+78rrPJEkqb5T6rDun\n",
       "Uh7s7HlSjkz9onnNjVl3b5f6bb/fHz2n62daT1OsXV9fT45dTk191onbqqq//vrr6DltV5rPKXY6\n",
       "61zKQ79+/Zocp31nKm98Lkn1TPtv7bc0D1y/dfN3ovHgyus+N6Y977gez3k39tHfd3OJu1faV3Zi\n",
       "qcrHZuoHrUvKW64ftN7u2eqj69O9XB+nduqcmbMO6T5hznuZqvf52MVHih3NHalfOs9yc/eouubp\n",
       "M69yeU37IeVM3fMqzVtzYk3LSmuke3eusTb3HbGeT3sLp/u3bp50n3/TWqDtdPdO7ei+103GtqXY\n",
       "SHGtf5/6za0V+rdz37WNuaX7DUBpXeas79pnafy7a4ubg913Z2m+u/jp7tVTXHfed6WytE+730JG\n",
       "/AtkAAAAAAAAAAAAAEBV8QEZAAAAAAAAAAAAAPCGD8gAAAAAAAAAAAAAgKriAzIAAAAAAAAAAAAA\n",
       "4A0fkAEAAAAAAAAAAAAAVVW1uL6+fnUXPD092QJeXl4mx6enp/b65+fno+dOTqbfs7XsdL16fZ02\n",
       "zdXt7OzMlvX4+Dg5fnh4sNe7e+m5OX1W9b4fFouFvd7R8d5sNvb6+/t7e36sy9x2urK7UuwojSU1\n",
       "tu38/Nxee3d3Z89rPyyXS3u9xuaxelXldhwOB3t+tVpNjt2YpfFOuaVD5283byVuDFLcpn5Qru4p\n",
       "T6lUt4uLi8mxG/803zQOUx+neTLO0XTv1E79+5S3tF/cvdKYdPJayksprjVfp+vdOqZxm8azG+cu\n",
       "F6WytC6pbp21Io1XysdadzcGaXx0jqR2dnKRWzeq3sdiWjvW6/XRc9rONGe6+duVl2JJ+zitgakf\n",
       "xrqk/VN3L5DK+/3799Fz19fXk+OUA9MYaI6csx/78eNH6/qv3F+ndmpsuX5L99Lxc+NV5dcDPZfW\n",
       "00TnlLt3ev5RKWcm4zyYm+s77Ux9qvNz7jPreH7u85LmqZTvdW8/0pz41fnb9ZtbV6re90PKz+68\n",
       "xk4ag5S/tU9dPKXx0bqkOeXa2dn3p7KqemOQcofmyN1uZ69POs8RnbKq+vtUd2673dqybm9v7Xkd\n",
       "UxebV1dXtqybm5vJcZqD45jOfe5Lseburbp7WJcDP/P37t5KYzHNi6/MW2kMNBe5fN59/5H6sLMW\n",
       "pFhL65COUef9tNLY2e/39vqk86yWxlP7obtPHf369WtynHJq6rfOu7juO/+0T3F11z5L9UxxrXV3\n",
       "Y5qe8zRXdOezq1eS2qn7EpfXunu1tG6lZ9rOc0T3OcO9M6zyY9BdCzpzLpWV9pGd56UqP+c0v6a4\n",
       "TftSrdvl5eU/LktzYqrb3H3pKI2B7uVc/u7G9Zznaf4FMgAAAAAAAAAAAACgqviADAAAAAAAAAAA\n",
       "AAB4wwdkAAAAAAAAAAAAAEBV8QEZAAAAAAAAAAAAAPCGD8gAAAAAAAAAAAAAgKriAzIAAAAAAAAA\n",
       "AAAA4A0fkAEAAAAAAAAAAAAAVcUHZAAAAAAAAAAAAADAm8V6vX6dU8Dz8/Pk+OzsrHW9c35+bs9/\n",
       "5b06136Gq7ueOxwOtqzVamXPPzw8TI5PTo7/fwGpnaenp5Pj5XJpr7+7u7PnxzFK46XtUFr319fj\n",
       "oavtUNvtdnKc2uHupedTn728vLTOu/Gs8m29v7+fHKd2aL8ojVU3Zuv12palHh8f7XnXTm1X6uPk\n",
       "4uJicqz96O6tdPwWi4W9PuWDUYrzVDeNVTcPUlx3xyD1w1hemgNprdDckerm2totK50f83uaA6md\n",
       "GjspPlw7dW6nez89PdnzX7kea71TfLh5kNYllerWWafS2r7b7SbHmpdUWkPH/H57e2uv1fGes0fS\n",
       "8UpxmWg+7qwNSte81IcpXsa8luazW1eqclwrt35rbk+xl+quY+rmf8qB+rfp3q7uGgtz9wKduO/u\n",
       "cefsFfVeaQ+b1lvtN9fH+/3elqVxe3V1Za//3//9X3t+rEsaz7RO6XmXO25ubj5dr6r+M4wrrztn\n",
       "lMZHyiWdeZLyVlqnOnvcFLfaD6md7rzeK+Wh7t7BXZ9iR+u22Wzs9W4M9F6pj9N46xxya24356Ux\n",
       "SHUf82LKQ533GVU517gx1ThM+5TueyAn9anWJT3Lj/GRxjfFreaGVFeXt3R8Us5M+1LtYzdmqZ1a\n",
       "VsqZv3//PnpOYyO1s7uGztlDaTtTWS7W0hxQKTdon3bz+Ujrlta4tE6Ne4XOu5JUVlWeo2nOjVI7\n",
       "0r2+8n2X1jvVzc0TnQOd8fqIjqFrS3fvl+aFW7+7a1qizwZzytM+mvuMM7a1+2ydpJyb6ta5Nu3H\n",
       "xnhIZaXx0TmV9hluvnf3FSmvaT+4NTfVW+MhXd+Zv3O/fSnXxyl3azvnfH/kXyADAAAAAAAAAAAA\n",
       "AKqKD8gAAAAAAAAAAAAAgDd8QAYAAAAAAAAAAAAAVBUfkAEAAAAAAAAAAAAAb/iADAAAAAAAAAAA\n",
       "AACoqqrFer1+nVPA6enp5Pjl5cVe//p6/HaLxaJ17+71ztPTkz1/fn7euvfFxcXRc/v9fnL8+Pho\n",
       "y0r32mw2k2PXx+le3fF8fn6258d+1Xp266b9cHLyz///B/3b1I6zszN7fmxbake6l9Ytlffw8HD0\n",
       "nPbZt2/fbFk3Nzf2vMbHHNquVLbrN43TFGtpvmvddP6PlsulLUvnYxpPF9faB2l+brdbe/5wOLTK\n",
       "c3SOpHa6PKVSH6d6u/H7yP39/dFzX507xn5I7XRzver9HEpzytVtvV5Pjn/9+mXL6q7Hrm7ddSet\n",
       "Ba487fMUtzpnlMaaa2fKQyl2VIqfMS/e3t7aa7Xeab6uVquj53S8Uh+nfunsU1IO1P3Y3Fwz1k3n\n",
       "ULq30n5LeSz12yi14+rqyp7Xurv5n2JH4zzFptNdI13cVr2vu4unlBu0rDnjqWvUV8btR8ejNJ46\n",
       "BimP7XY7e37s85Tr0xh0npc686lq3vOvSrkj7dU1ttIYpH3MKPVL6gcdAzemKTa0rFQ3107927n5\n",
       "VnOim6Nz9t4fceOtOcztd6tyLCrXx2kO6Pm0503nLy8v//x36uOUO66vryfHc57lNK7dO6OqPD+1\n",
       "bS5/pz7T2El7gTEXpfycYk1jM41ZJ0en+dx9P+Z03o195no3BzWW/v3vf9uyfv78ac/r+HfeSaSy\n",
       "uv0y0vyZxjPFos4Dt4dNcaZlpZyZYmncX6e1O7VT+zw9q7t+1fmY5md33+H6JcXOVz4vddbuqpxT\n",
       "O+8Bu++257z/6OzFqvrzYM6eR2MnrR3pWW6se9qHpPmre4U0n11btaw0BikWx7qkPU3n/eRn6tZ5\n",
       "T5/u3X1mdfdO46Nxne7txkDndsq36Xw3fzudZ9AqP9/5F8gAAAAAAAAAAAAAgKriAzIAAAAAAAAA\n",
       "AAAA4A0fkAEAAAAAAAAAAAAAVcUHZAAAAAAAAAAAAADAm8Vms7G/qJx+tF5/tDz9wLr7AWf9ce65\n",
       "P+au93I/sN69V7retVN/1Dz98Hv60Wut23a7PXrtbrezZWm70g/Jpx8aH6UfTE99qj9MrsedsrRP\n",
       "04/S39/f2/PjD7Q/PDzYa6+uruz529vbo2V/JLV1lNqpsalSPhidn5/b81rvOT8Mr7GQ+iSd13a6\n",
       "OZjmp45ft19GGocpNtJ46d/v9/uj16Y8ldqlUr+N/ZByfZpzmntSW1xu0TGYM55V0xya+iTNX+0H\n",
       "txZU+bymsTFnba96v1a42E25QO/VXTvcvdKal+aUnnftdPWqqtpsNq3r0xo79lvqY43rtNa78vRv\n",
       "U1lpTuk69e3bt6PX/uc//7Fl6Xh9//7dXp/2UKM0XxPtp7Q+a7yMOrm+Ko+BjvdXrt/p3nd3d0fP\n",
       "6RxIeSuNkeYaV173XnP6TMcz5d803romujFI+w6dI521/iMXFxd//jvlju6eyOXMdK80H7vXj2OQ\n",
       "9jRurle9b2eKNddWHZ8U56nfdI11bU317jyTJN11KsWaxpara/eZpbOvVON8qsqxlsa7c33K7Zor\n",
       "0vh3zqfxSvsrHb+0v3brlNb7K5/zq/zevvuc0X2OdNJ4aVlpP+5yqrYztSPtn3UNdW1Jfaz528VK\n",
       "le9jneupj7ux5KR2qjSebp+i7XT7/qq83uq7NtcvqZ36Xi/tt5IxVlOeSXQ/luLc0dhK++f0vNR5\n",
       "b5TGoPtewOUD7aPuOwnV2a+n983durl2av+ndnSfzVzdun069/3HGA/d8VJa97RHcrGocyjdO60V\n",
       "Y3ndbz7JnH7r7u3SeGqfu9jsvmtLc9D56ueIzvuRND6aC1K/uLWHf4EMAAAAAAAAAAAAAKgqPiAD\n",
       "AAAAAAAAAAAAAN7wARkAAAAAAAAAAAAAUFV8QAYAAAAAAAAAAAAAvOEDMgAAAAAAAAAAAACgqqoW\n",
       "q9XqdU4BJye9b9Du+qenp1bZer1ar9efvv78/NyW9fLyMjl+eHiw169Wq6Pn9G/dtVW5nYvFYnJ8\n",
       "enpqr3een58nx3PHYLlc/vnv1GfjtR95fHy050dnZ2et8/f39/b6FB8j7UOlcalSXTo0FlLd0vnt\n",
       "djs5PhwO/6xi9X5O6bFyY6pzKMVlaqfOKXd9NwdqH6qbm5tP1yvFpV6vdPzm5I7X1+lSkuqW+m2c\n",
       "B+nazWZjz2tspfhw/XB3dzc5TnVL+X2U5lMaH82xKQ+6XKR1Sfk3xbXGh2trd91JOdXVXcens858\n",
       "JOWx0Zz59pE03mPb0rU6XnqsLi4ujp7T8by9vbVlJTpmu93u6LXX19e2LI2lNH5p7RjHNI1vmjM6\n",
       "nzX3KDdv9Nzcdup+zY1pWgs0f6d2utjtzL+qvEamtWKU+kznUFob9vv90XPazpQDU07V8lwfp7I0\n",
       "h6Y+TmM2zqOUt1yfVb2vu3suubq6smVpvVOOTO0cYy31ccot3f21o3Gd8laaB8rlh/TcqPdK88DR\n",
       "vDP3mVTPu/LSHNF4SDnV5dDO82xVbqfOSTcPuutKuj7lg84eq/tcmLh763N+Wgs6z0tJ55mkKq+B\n",
       "471TbHX3kWn+u/HXfWE37tO93PimdUhjKfWLiz3to9TONGc67z/SM6vm45RLXD9ou1LMd3OHmxfd\n",
       "HJjitiPN/c5zX1VeI1PUCL6fAAAgAElEQVTsdu6dxkD3/u767l499Zu7l8ZhakfaK/769Wty7Mag\n",
       "u39KucPlKf3b7nOC6uS17vPPnPHs3jvFms6pNA9cntTxSfk75b0xtlJ+7r4H6o7/SPd23W9bqW4u\n",
       "1rr1Tu+U3f6622fd74+uvO5z3pw5xb9ABgAAAAAAAAAAAABUFR+QAQAAAAAAAAAAAABv+IAMAAAA\n",
       "AAAAAAAAAKgqPiADAAAAAAAAAAAAAN7wARkAAAAAAAAAAAAAUFVVi/V6/eouOD8/twW8vLzY43S9\n",
       "s1wuZ5X1+jpt2tnZ2dFrHx8fP12vuU5Opt/tUzv0+kTb3Snr+fl5crxarez1qe5jeSmWDoeDPa91\n",
       "X6/X/7gsja3UjtQP9/f3f/57v9+37p24dlb58dZz7tqq3G/aT668xWJhy9J+eHp6at17pOOT5vPp\n",
       "6Wmrbre3t0evTeOjcZva6fKU/m0az0T7Ted/h87vu7u71vVqHKNU1uXlpT2vf59i08WP1jvFUhqj\n",
       "Tp+72Kh6X+85+Vv7KMVtaqfOKTem3bK6/TLSdqbxSGuF1q2Tn5Xmljk5smqai756b+fmQTeWkqur\n",
       "q8nxjx8/jl6bcsNut5scp3zeiY80vmkMtJ9SW9wYPTw8TI7dmlaV55TWze1rrq+vbVlal5Sf0z5l\n",
       "lNqRaFy7e6f9teah1E4XizqeKden8dYxcrGb9lf6t2m+b7dbe37s8+7aoHT+uvK6OS/FWqr72E9p\n",
       "X5Fyh8ZH9/nKndOyVcqhGg/u3p13BlXz9mPapynOu8+NutaMNptN615pHeo8Z6Z2pvHUvZwbz5Tz\n",
       "dA6lWEtzbhyDOXOg6n2fd59xXVlJd1/i3kOkdmq7UnyM+5I0J7pjkMbfrXs619Ma2cnPVb4t6V46\n",
       "Xmn+uzHQOBvfR32ku6659TvlW613unfn/cfcNVLHwI1nKqv7nifFx5hTu3kpSTlzTv5WqR86/Zba\n",
       "qfGQ5rPrh24OTPlZ52SKXUf7IfWxe27UdqbckXS+u6RY0rK64+/KS9emdUfNedemdUn3TnE9lpdy\n",
       "R8oF3edMl0N1/NKcSc+s2m9uv5XGW+O++91tpPNx7jsI/Xs3R7vfBLrvoEb8C2QAAAAAAAAAAAAA\n",
       "QFXxARkAAAAAAAAAAAAA8IYPyAAAAAAAAAAAAACAquIDMgAAAAAAAAAAAADgDR+QAQAAAAAAAAAA\n",
       "AABVxQdkAAAAAAAAAAAAAMAbPiADAAAAAAAAAAAAAKqKD8gAAAAAAAAAAAAAgDeL7Xb76i44PT21\n",
       "Bby+Tv/85eXFXv/09HT03Pn5+bRyi4UtK0l1GWk71NnZ2eT45MR/e7+/v/90WamPn5+fW3Vz5aU+\n",
       "0b99fHy016fz4/2Wy6W9No2B1s31cVcaz/V6bc+PdUtx+/DwYM/reKf4SOdHbv5V5THQ8yk2ne78\n",
       "1jgfaZ+m8XRlVb1vp+u3VJaeT33spPFTab7redeWbp5K7UxjNNYttUPXjnQ+zcHOGKW8luo+1iWV\n",
       "td/vW3XZbDb2+sPhcPSczs/Uju4a6sagu1ak8XTlaRy6PqmqWq1W9rz+vZtTaT5r3VLOTOvU3d3d\n",
       "n/9OsaFSnnNt0Xak8eqsaVW+3WmfoPeaO/5jbKYcl8azG5tuDLTeaQzSeI+xVOXHIOWti4uL1vWu\n",
       "bronTe1I46lc3brjmeLcjaeOX3fOKK27W1PnrgVqu93a82Pcz52fWne3h03zt7v/TfuUsd/mPv/q\n",
       "mpfWGtcWnVNp7Ui5pTMP0jOm/m33Gabzt+neSvvcxWaaU9pn3fcCI21nakcaT41rlyNT7Gi7Utym\n",
       "8sb1f86zV1XeXymXP7SdKTfoeqs0flz+SH2m9+qsayk/f/v2rXXvOXt7nQO3t7e2rOvra3u+E5sp\n",
       "VrSslOc6+5Tuc4XSPne5KeUO/dvu2vDZc/+E1t3FeTffpnmQnnE79+6+O02x1lk7uuuW0r935aUc\n",
       "qc8RqW5undI+SHMq1U3/3tUt5VuNne4zrjuXYiPFrbbTxWaKDa1bN2+pcUxTbMzthw7tszlrXtW0\n",
       "bd33cq6sqrwOuXmiOXFOWVW992OpLK1LGn+3h9I9TOrj7ni7tqTx1vFMc8rOX/uXAAAAAAAAAAAA\n",
       "AID/M/iADAAAAAAAAAAAAACoKj4gAwAAAAAAAAAAAADe8AEZAAAAAAAAAAAAAFBVfEAGAAAAAAAA\n",
       "AAAAALxZLJfLV3fB6empLeD5+Xly/PLyYq8/Pz//dFnL5dKWtVgsWnV7fT3e1HQvbdfZ2Zm9/nA4\n",
       "HD2nferqVVX19PRkz5+cTP8/ANeWh4cHW5a2S8vuGtum46HSvbRP1+v10WsfHx9tWZvNZnKcxsCN\n",
       "Z1XVarX689+pnd0x0Lqqm5ubT9WrKs+ZFGsau66f0730fModrh/u7+8nx928NUcqS+NU66pcLGr+\n",
       "nJOHPrpXKs/R2EljcHl5ac/f3t7++e80Z9Ic0Vjrrh2j7lqQ4mOsS5oDKa9pXdJ83m63R8+lnKhS\n",
       "3TvxkcZH50Gqqzvf2SdU5XbqOubGLM2Ri4uLyXHKHSkWx/VgnF8f0X1EGhO3fmufpjhO/aJ/7+I4\n",
       "SeOpUi4apT7r/n23X0a6Ds1Zb6uqfv78OTnu7O1Vd5/p9n4a12k+pz5VbvxdH1S9X4/T9Z05ldqR\n",
       "1gI9f319ffTa/X5vy+rsE6t6sZjmVHeNdOOZngt1fFJuSGMwxnXqk3Qv3fune7t+1Tj9/fu3LSut\n",
       "QxofLs67453mgbuX9nnqs9ROLc/N9zTeeq90fed9x9y41T7V2Ptsvf6JlEPH+Oiu9Ur7Ie07drvd\n",
       "0XPddy0p1vQ9gO4dR939V+q3ca1Ia0OKNR3POXHefe5LY6D3cnVL9da9QLq3m1NaVrp3ilt9znD3\n",
       "TrGk45mud/fSeqXxTHNG6+LGINVbc2p3bVBjrKX8m/bXWrd0vZtT3XUojZHmGvfOysXGR3VL778c\n",
       "7YM0Bi7ffuTu7q5dp/9X97nSrZHarrnvs5SLpbQX0PmYrk91G9s297nwK5/NdU1Mzx2p7uO93LNy\n",
       "VZ4j3b2i6wcdz7nPrN3nTEfjvvscOeqOZ3eP4/ollaV1SX3sYo1/gQwAAAAAAAAAAAAAqCo+IAMA\n",
       "AAAAAAAAAAAA3vABGQAAAAAAAAAAAABQVXxABgAAAAAAAAAAAAC8WazXa/tr3OkHmb/yR7H1R6nT\n",
       "D4UnWhf7Y9An/lu6/tD4arWy17t7pT5V3R/gdtenH0zX8Un94n5IvGr6Y+IpNlI7b25uJsduDFK9\n",
       "7+/vJ8cp1i4vL+35sd+6P2Kezmu7levX5+fnyXHql/SD6lpeaouzWCxa93ZjpLGg9ezSMXT9lvpU\n",
       "2/n4+Givd+OpfZDiNp3XfnNjkOL6/Px8cpzGoLNWpLK6OTL5yjHoSGWlfNttpytvt9tNjtfrtS0r\n",
       "zV/t07u7u6PXpjmlZaXrO/mgO5/nSOOl8zPNmU78pL1AJwdW+fV43AdUvc8VKrVDx9OVp2u90rhO\n",
       "dUvr8fj3KVbcHKiquri4mBx35/dIY0fHRKW6a7/OWSNVGn83Rvv9/tPXVuW8pnnQtSWNj45Bis2r\n",
       "q6uj53QOzNk/fXTetSX1meaWuWvH9fX1n/9OcyZJOXSUxlPrnfZ2aU6NsdXNgUrjPt3blad9lu6d\n",
       "5ru2zV2f1qnNZjM5TnPKrVM6filuu3sB15Y03hqLqW6uvO6z11fueVI+1nUpvWtJ+WB8dk9xm9qp\n",
       "devueV1ZqV9S3tLY/cpn1nR9Z33X9VlpXKc+drRec/OW9otbH9KzmpZ1e3trr3fl6VyfO1+1z11s\n",
       "dp9Z0xi4Pu3UK5X10XldS0ZpXdF2pfHv5ME097s5NdWt8/567rs2fXfj6pbupedTbH7lXjDVTdcx\n",
       "txdIOa+bIzvPLN1nGKWx6J4zu7kg7QU6++vuWp+kd5Cd9/QpbjvPGXPf+Wu9uzl11JnrVXmv0Jm/\n",
       "iZY1Z2+n45n6LPWD1sXNg7ROdfcKdh9p/xIAAAAAAAAAAAAA8H8GH5ABAAAAAAAAAAAAAFXFB2QA\n",
       "AAAAAAAAAAAAwBs+IAMAAAAAAAAAAAAAqooPyAAAAAAAAAAAAACAN4v1ev3qLnh9taffnT858d+k\n",
       "XXnn5+f2b9VisbDnHx4ePn3v5XJpy9K/Tfd+eno6ek7bOaesj+rm+jGNp45fqtvz87M9P9b99PTU\n",
       "XpvGQMcz3du5uLiYHN/d3dnrV6uVPT/WReupUp/qGKQxOzs7+3RZKZZSn+q93Hzf7Xa2rKurq8lx\n",
       "GgPXD1oP1ydVVS8vL/a8xuLhcPiyslIfu/l7f38/Oe7GktK6p35zujkyGeueYmO9XtvzWpc0p9w8\n",
       "0XPp3mm8x7qla1Osaeyk+e7iQ+M23Tud1z5360GKQ82xKT//+vXr6LnNZjM5TnH7+Phoz2vdXTtT\n",
       "HGpszVnzqqb5I8WttjPdO43BKO310l5gv99Pjl1+vry8tGXd3t5OjtOcSXUf+yntedKc0VhKseni\n",
       "Sccz9cvPnz/t+RQ/ozSfdfzSvNA5O9I+SmtgqtvNzc2n69ZdV1Ld3DzQ8Uz37s5ft+bq3k1pfp47\n",
       "BmO/6d7dXfsR7Sd3b91vpXul3JDqNsbunGfpqvfxkXKRq3uqt+ru11ycu9xe9b7e3X4ZdXPHdru1\n",
       "57XuaQwcHYPUL67u2kdpPqc+1bq4e7vc/VFZqZ2dZ5Y5zzdV72OnO/4jjYUUG+l5OsXqKO07umWP\n",
       "dU/Xpj2M5tzUxy436Zo3d/+sdXdt6fbxnPc8eq/UzhRret7FXtoHdtdI12+dtbsq5w7lykvjo+1K\n",
       "7wE7uSiNZzqvczLl4LTvGc19L6D91nn/pbrrtxuj7juj7jxw16c+07qltcE9m2u75uaOzvvO1E7t\n",
       "sznPhVXT+JmThz6qW4o1dz+9V8odnb383P2TtjNd7/pBz6V3aWkMOuV1653Gs7OXSHGb6Hi7PJje\n",
       "nXWf5dweh3+BDAAAAAAAAAAAAACoKj4gAwAAAAAAAAAAAADe8AEZAAAAAAAAAAAAAFBVfEAGAAAA\n",
       "AAAAAAAAALzhAzIAAAAAAAAAAAAAoKr4gAwAAAAAAAAAAAAAeMMHZAAAAAAAAAAAAABAVfEBGQAA\n",
       "AAAAAAAAAADwZrFarV7dBaenp7aAl5eXyfHJif8m/fT0dPTc6+u0KqvVypaV6nZ/fz85XiwWn753\n",
       "kur28PBw9JzWI7WjW7f1ev3peyutd7p3Km8c73Tt2dnZp8uq8rF2OBxsWZeXl5Pjx8dHe/1yubTn\n",
       "x3i4vb211+qcUdpPaQxc/Lj59pl7p/Lc9WmO6N8+Pz//47qlPlUpT+k8cOOfYkfrdn5+/o/rpn2Q\n",
       "xjed13u5dqY+u7u7mxxvNht7fWcepPmcaJ+nOeXOd9cp7RdXt7QWpPHsxocbAz2XcmCKD83vrl9S\n",
       "HtK66FqvXCzudrvJsVs/q3Lcah5zbUlzRHNLd8/jpDmg45nWZ5cHdf7N2SdWve9jV7d0rxRrKo3/\n",
       "WJfO3P+IjlG63sWHxkZqR7qX9pvb86Yx0HulNdW1M9W7e732kxvT1Kfarm7OdGWldSjtrzTW3L1T\n",
       "ntH8PPcZZ2zbnH1i1dfuYdP8VqmdY5+nPk6xo+fTHsr1Q3ctSPlb55y7d/fZrLuuuXqlstIYadx3\n",
       "3n90z3eu17hOc6a753FztJufU+5IcT3GqlujqvrrVNoTu/tpH6WyUq7RMXRzNM1PjevtdmuvH2Mt\n",
       "5YY0/tovKfbcHNQ+SXHezTVz1siv3HfqM0t3/6y0ne76dK9uruk8e3fW04/o/Jzzjknvla7vPJek\n",
       "HJfupc+Zc97rdvqsKo9B5xtCd++X2ulyrvZ5Gq/uuxs3b1KO7D4vfeW70zTfNRd15rPq7mHTu5sx\n",
       "drvfttL57vPySOdIWjs68zfVK/WpjsGcfkvzV3Xflbs5mvZ+3f216wftg5Qj5z7Tjv6/fI7gXyAD\n",
       "AAAAAAAAAAAAAKqKD8gAAAAAAAAAAAAAgDd8QAYAAAAAAAAAAAAAVBUfkAEAAAAAAAAAAAAAb/iA\n",
       "DAAAAAAAAAAAAACoqqrFdrt9dRecnPhvzM/Pz5Pjl5cXe70rT8tarVa2rMfHx9a9Xl+PN3W5XNqy\n",
       "DoeDLVu5fjg9PZ0ca7vV+fm5Pd8ZA733XJ1+WCwW9tru+bOzs0/d9yP39/ez7q3GMdJYUanPdIzS\n",
       "mLm6aV1SnH/lnHp6erJlaV3S9Z16PTw82Os3m409r/0wZ97o/Ezj72i9U6wl2ucu16R6393dTY63\n",
       "2629vjNPUo5MNB+kurk5leZI11i3lLdczvvo71PecjTm3Vz/6N6qU5eUC3RvkK7vjNlff/1lz+/3\n",
       "e3te2+n6JcXhzc3N5DiNfxqjsR/SWqBzLu1DOuOb6pnO63i7tqTx0r/VvYFKYzb229z9lvZpyoOu\n",
       "37Ss1MfpXtpvrry0Hl9dXU2OU7/pvBjpGjl3z6Pr2pz1W/so3dvtU3a73eQ4zb9U70670r0056VY\n",
       "S7lljIeUA1Ofal3cvVO9u/uvi4sLe36cc2k9TWuetiv1i5tz+rdp/Lv7FNcvOv+Uxm3qF9evWo/U\n",
       "Z919iisvxZLmsfV6ba937dQ1LuXbVDfNUy4+0pzS8f7+/bu9XvOgGscorQVz9yXu3krjNs2p9D5M\n",
       "x9St3yl2tN6d+Zz2DamsVBfl7vfVzzA6Zu76FGu6J5rzTlHHM+150xhoXVwfp3cpmjvSXtDFptZr\n",
       "7rN4Z+1IsdN9B5XiYywv5Ya575CVy/fd54jufnnO/lrHb86eWMcnjWc3r7n53N0LzHl32nmvXpXn\n",
       "nLar2y+urBQb3e84Tloj9Rm0O8dG2s6UU1Ncj3uBublBxy+Nv7tft49S3XV9d/ExZ458xM1frUfa\n",
       "X6e6dfZjaY5oWXPig3+BDAAAAAAAAAAAAACoKj4gAwAAAAAAAAAAAADe8AEZAAAAAAAAAAAAAFBV\n",
       "fEAGAAAAAAAAAAAAALxZbDabV3dB+kHm19fpn6cf99brHfcj1f+E+yHr9CPX+sPh6UfOXd07P4j9\n",
       "0fVKx8j96HX6AXStdxrP9APcY92+up0uNlPsbLfbyfH4o/MfSXG7Wq0+Va+qqv1+37pX6mNXt+Vy\n",
       "+elrq3K/aV3W67W93tHxTnPQ9YO2q5u3lPaDq9vhcLBlXV5eTo5TnLsx0HqnOZXiWnOFq1saH61L\n",
       "iqXUD2Pd0hxIeUrzXuo319avHoMUqyOX26vex+KcdmpZY477SBpvHaM0bxzts4eHB3u96zfto7RG\n",
       "pn7Q+HC5Jo2n9mnqszQG19fXf/47rUO6dszJWzp/OzH/kU7eSnNA651yjfaLGsco5cxu3Ka2pNgd\n",
       "pbU7ldVZv8e4+4j2eeoXFz+aZ9IY3N3dtermykvrkErt1L3DSOdvmp8pbynXlpSHNE5T3VIsjmOQ\n",
       "5kCanzrerrzu2p7yWueZNo1X6jMdo9Qvt7e3n6vYJ+6d4lqlujmdvXqVz2sapyluU731Xm5OpdjQ\n",
       "ds2Z75rTUq7X52Wlf+/aktqpa166/urqyp4f/z7FeHc/Nuf9iP5td2+fynN1S+OteS/ticZ+SX3S\n",
       "XSNTv7jnK52fKS+lfUonztO9un3s1qLu/nrue70Off5J4+nymtY75YaUn3WMXB+nfNudz8k439N4\n",
       "pfHuxod7ZtV+SGW5PWxV1W63mxy7fktzStfIOc9f+rdfnddcv3Wff+Y8T2u90/NQd+/nxiDVu7vn\n",
       "6e4tnHSv7rtwN6d0bU/fl9IYjf2a2pzehXfXAnc/rXean6lumq/d9d13/unZz813vVfab3W/fXS+\n",
       "EajUrk55/AtkAAAAAAAAAAAAAEBV8QEZAAAAAAAAAAAAAPCGD8gAAAAAAAAAAAAAgKriAzIAAAAA\n",
       "AAAAAAAA4A0fkAEAAAAAAAAAAAAAVVW1WK/Xr+6C09NTW8DT09Pk+OzszF7/+nr8dlrW+fm5Lev5\n",
       "+dmef3l5mRy7trh6fXR+uVza6zu0nurkxH/nT38/mtunc+j4qtVqNevvR4vFwp7fbDaT49vbW3v9\n",
       "t2/f7Plfv379+e8UGw8PD/a89sP9/b293sXH4+Pj5Fjbna5XnTmVxkDLSrnj4uLi6Lndbvfpen10\n",
       "b6Wx5vo4zRmdc4fDwV7v4kfHJ+WGNAbaTy7WUp/q+ZRTO3kvXZvOp7zXoe1K/dKZc6nPNM7Ver2e\n",
       "HKfYdPfT2Ent7OY1l8/TeGm9U450ddc5lMYgrUPab24+p3ulslUaozH3pGtVWtdSXhuluEx5TWNt\n",
       "u90evTaNl8ZaqpvOMbXf7//899zx0rqk6108aVkp9tK9OnuLVNbNzc3k+Pv3763rR7qPSLGU6qZ/\n",
       "7+L87u7OlqV7mG6/jHQ+pjUw7a+17peXl0evTftEjfs0Dzo5NV2b5qfmDtcvaU1TqY87sZjunWJH\n",
       "81oqz42Rjndan1M7NdZceSnWdD6m5wjXzu47iDTntC5uDU25Q/82zYPO/qqbG5S2s/NOQmnspHun\n",
       "uo91SXvxtIdJeawjzZEu7SdXflr7u+8Nxn5J8y/1sZ5P49uZz6luae+nf++u776DSPPZ1V1zQ3qf\n",
       "1X1n4dqSxkfvldrZidu5z/1anqtbih3927nvdcd+S3kntTOtocq1VednqluKj1T+Z+v1ke73i5GO\n",
       "T4rb7n5sTu7Q8Uz5vNNvqZ3pXtpvc96dqtSONOfGfv3qdqYxc++odH1Ndes8f6X3Nt13MalfXD7o\n",
       "7tW7cT1n36m63y9GOtfHd0IfSWtBJxeltUDHIMWtGyP+BTIAAAAAAAAAAAAAoKr4gAwAAAAAAAAA\n",
       "AAAAeMMHZAAAAAAAAAAAAABAVfEBGQAAAAAAAAAAAADwhg/IAAAAAAAAAAAAAICqqlqsVqvXWQUs\n",
       "FpPjl5cXe/35+fnRc4+Pj5Pj5XJpy0rnD4fD5Hi9Xh+99unpyZaldZvj7OysdW/t4+T5+fnoudPT\n",
       "U/u3q9Xq02VV9frFjX1Vjh291+vr8dC9vLy0Ze33+8lx6pd0fmxb6jONS6Xxkbj7aex0y1ZadzcH\n",
       "Uz+k88rVXduZ5lTqB63bnDl1cjL9/3Rc3Fbluo9SbkhzTrl+6fbp3d2dvX6z2djz4xzt9rHSPk9j\n",
       "0IlNzZkqjdF4rxSXu93OntfxTuN/f39vz4+6c0ZprnBjmsrSWEx97MZbz3Vy/Ue07p17p/MpztPa\n",
       "Mv59aoeO95x83t3bpX7p6My/qjz+KQ+O/Zr2R+le3X5weyi9V+qX7vntdnv0Wt1vqe58vri4+PS9\n",
       "Upw/PDzY8/rc4OZYWtP0XmlOufmufZZiJe2vdU6mXONoO9O9U7+N/dSZfx/RurhnhbTeah/NfY4Y\n",
       "65b6rDs/0/UuJ2vMzx0DrYuLtbSP1L9NOdf1g9Y7rafunULV+znp8mDqMz2f2uniR8uas3+qeh/X\n",
       "bl+Z2qntmvvMmubcKMW19sOctUVjJ41nirXu2uJo7KRnnLHf5r7P0j5O7XDlddbuqv4a6cYkjWd3\n",
       "/Xbt1HqnOZP6Qfdyrm6pnd33nW4M0vioFLedd4rd56XUxymux7yV9mLdfknPX26MtE877xA+om3r\n",
       "PMMonSNz3rXq+HS/N6S6db6FKK13qpvrU103Uh7qPhd0+lhpP3TnoBrbmmIpjYH2w5w52i2rk9/T\n",
       "eHb3ke45P9Gy0rN32ivo+tv5FqK0z+e8H9F2pjjvvgec086vfLfGv0AGAAAAAAAAAAAAAFQVH5AB\n",
       "AAAAAAAAAAAAAG/4gAwAAAAAAAAAAAAAqCo+IAMAAAAAAAAAAAAA3vABGQAAAAAAAAAAAABQVXxA\n",
       "BgAAAAAAAAAAAAC84QMyAAAAAAAAAAAAAKCq+IAMAAAAAAAAAAAAAHizWK1Wr3MKODs7mxy/vv7z\n",
       "4vRvT0789+3lctk6v9/vj177/Pwcate798PDw9Fz6/X60/Wqqjo/P7fnT09PJ8dPT0+fvlZpPywW\n",
       "C3t9MpaX+uzl5cWe13hwfZzaqecfHx/t9anuYzvTvdN4b7fbyfH9/b29frVaHT2nfZramcZby9P5\n",
       "3ylL53vqNzcPbm9vJ8dpvA6Hgz2vc9TlItcHVe/n45wx0HulPk6xo33q8neqt9psNvZ8yu93d3d/\n",
       "/ju1M+VIrXs3D440tsZ6fsTNT62by91VuR+ur68nxynOXTv1Xune6byOgcv3qc+03peXl/Z6Nw/c\n",
       "OvKRFGs6hq5fUp/pHElxm+bo2OeprM7+qcqP2W63mxyne6fc0dmXpByocZjGN+1xx79PsdVdI1PO\n",
       "dOOv45PqltY1nYPu+pTXdAx0/VWunZ09SlXuB62Li/O///7blqV7uzSnXHzo/ExxmcZAuZyayuru\n",
       "FS4uLuz5cYxSO9N46vx2uSjtIzW3pFyTYnGMtXRtel7SdqW8lmJxlPJQqpvmDjcGqSyNxbR23Nzc\n",
       "HD2n7UrvBXQ+J668FNcaW2mP1Hk+Tu1M+VjHyMVH915zc814PvXZV8+pzt4ytSPdS/vV9Vv3eanT\n",
       "b3OfYVLeU66Ptd6pbinOO33c3Xd02+3q0X3/pXSMXN3SmtfNNW7N1XamnNltp2tL5x3gR2Wn61Wq\n",
       "e4fWpfv+a9Td23WfceY8L3efI9xeoLu2p1jsrJGpj3U+przm9kS675uTh7rSOpTWY5X6YRyjud+X\n",
       "dLznrHt6LrU7xdo4ht1YUvr33X5x90p1S+3svIPo5qE0nil+RikPpWevTo7sjncaT1ce/wIZAAAA\n",
       "AAAAAAAAAFBVfEAGAAAAAAAAAAAAALzhAzIAAAAAAAAAAAAAoKr4gAwAAAAAAAAAAAAAeLO4uLjw\n",
       "v1KdCpAfc354eLDXn56eHj2nP0o990est9vtp+uWfqxb/zb98Lj7kWv9gXStp9IfCk91+6f1+kj6\n",
       "8e/Oj72nex8OB3t+tVpNju/v749eu9lsbFkq9WH6ofHz8/M///3r1y97rbZDaT+lfnFjpD+A7uZf\n",
       "Ve6HsZ1J50fmq/IcdP2g45PKSnGrXL+lXKBxmurmaJ+mdqQx0PF05aV6a75OsdJZK74yLqtyW1z+\n",
       "0Ham/Jzm3NjnnXjDocgAACAASURBVHz6mXul610u2u129m9VmgdaN9dvaa3QuO7ee6R5Jd177hh1\n",
       "7qV9lNbjtGca+yndW9eOtG7d3t4ePafzab/f27JSH2o/uPFN81PHM8XS3d2dPT/2U9o3pLqplAdd\n",
       "bGq75uZUvdfFxcXRa91e7aOy0hi4dnb3HWkMNO7dvVNs6JxzfVbl51Saj0rnc+LmVHcPM3d/PUpx\n",
       "2c2p7voUG9qnKT+nMRj7KT3DXF5etu6V7u3mjc7ftKdJ57XP5+TvznhW+fmrcyqtU2m8dQ/lnvVT\n",
       "7tA5Mmfvr2Wl+dl9b9Bd10aaW1I+n/sMNOo+y6W85fKk1jvVs9unbsy6a2RnDNLakMrSPk550OW1\n",
       "/6e9O9mKJFm2dS0O7ngFkWvs93/D3ckVAV5Qng4jr/oE5kRSuZ1z/q+VNsxcTVVUtDCzjIHGYGYO\n",
       "rPq49rj9dpoDtT+7779cvdJ47o4pl0vd54ju2uDqlXKj+2zu4tZ9d5bGQZo7xvLSvJRoTGeeYXUN\n",
       "S3v71Ac6hlyc095Pf5vW7873iBSzbh+lZ3Xnr7/+apXl3uVoOzvvq75Tnqvb7F5eddbI7vOQ0vl4\n",
       "5hlHYzQ7d4xrSfq+1M3DFDc3DrprQaK56PbjaX1VM/sY/W0aMz/5DiKVpf2TxpjLa/4FMgAAAAAA\n",
       "AAAAAACgqviADAAAAAAAAAAAAAB4xwdkAAAAAAAAAAAAAEBV8QEZAAAAAAAAAAAAAPCOD8gAAAAA\n",
       "AAAAAAAAgKqqWmy32zd3wdWV/8b8/Px8cXx9fW2vd+efnp5aZa1WK3tey1ssFl9e+/j4aMtar9cX\n",
       "x6fTyV6/2Wy+PPf6+vrten12vVoulxfHqS2dst7ebHpEYx+mmP369cuePx6P375vyttOblTlXBt/\n",
       "r2WrlNfaBy8vL/Z619+ah6luqZ3ah1rXkc4NSn+b+qwj9WeidXfj+XA42LI0pqluqY86ZaU+0Hlt\n",
       "5l46V6Sy03ww5v1+v7fX/v333/a8678uLSv1f8rrMW7pWjfeqqrO53Pretenuu6keSitFXrerWup\n",
       "v/S3ac1zcb25uWmVlfJax5yLW4qp3ivNz6nuM7mW8tyta1pvjblK99L8cHuD1F8636a4pHlwjIOO\n",
       "R5XupefTfO7K64y/qhy3zvyQ7qX1Tnnu5hqNUYpxdwy6Pu0+L6X5OfX3qLNH/YzW3cUlzfU/+byk\n",
       "dUlzXHefMrO303vN5to4L6Z2puel+/v7i+OUH26Mar1Tf6Vntbu7u29fn+aO7nh3Y05zI42/7XZr\n",
       "z2vcOnt7pTHvzA1KY5RinMaUnnd5nsrS33bnZzWuxylmaZ7S/p6p2//f++uZZ+BuWWPdU4zTs9xM\n",
       "Xiutdyq7s7f77HiU+lP7P81bLpceHh4ujrvtUDpHavmjtBZ052fXR1rvNCZSO/X37vq0l9ey0jNO\n",
       "MsYhrd0p17pzgYur5kYqO+1jUh+NUjtV2l873e8R3fedTsrr7r7T7Tt0Huqsp5/Ruri9XTcvZ7+V\n",
       "jL9PMUtldedvFzft75QraQ3973//+89/pzHTzZ00F7nyNGZpP7zb7ex55ebo7vfC1Adur6i/nX1v\n",
       "p33YibHqjjmXt/wLZAAAAAAAAAAAAABAVfEBGQAAAAAAAAAAAADwjg/IAAAAAAAAAAAAAICq4gMy\n",
       "AAAAAAAAAAAAAOAdH5ABAAAAAAAAAAAAAFVVtbi5uXlzFyyXS1vAy8vLZYGLhb3+6urrb9avr6+t\n",
       "st7ebNU/nL++vv5X9frst+l6d/50Ol0cpxin81rearWy1ztPT0+t67X/1c3NzT//nep1Pp/tee1P\n",
       "zZeR6+vPfptivNvt7PkxDqms4/HYOr/ZbOz1Lm7r9friOI2p5+dne17jlsaBo3VJcXPt1HqneqV7\n",
       "aa65PO+Ot1Q31wcaszRe0xyZ4jBKY13HSLq+M3+nGKd7dbm4dMdAGu/j79P4fHx8tOc1Tilurrzu\n",
       "+OyuHU6avzV3Ui65dur8Ojt/pz4c6fysOmveZ9ersW6pnnqv7po60jzUPYvqzEvp3ilmGodxz/KZ\n",
       "Tt3T3NDZP33nerdX+P3798VxinF3LnJtTXHo7sdcHPRc6s80BrWdbn3u9mdnvKru3iutHVo3l+fb\n",
       "7bZ175RLae8/5nUaf4nmlqtbqpdKe/XU3w8PD//8936/t9ceDgd7vttHrm4ao/SckOKgewV37zR/\n",
       "q7ROuf7WeqR2dtepznsBpWtod+8w0ryeeW/z2e/dXvAny/pOeWPcUlnpOV/jNvNOQ9uZ+qC7/3a5\n",
       "231mTXUb793dVyrtz5k1UueCNJ+nXNJ5zcX49vbWlvXf//734jjtU9y8pn0/O2a0nS5uqX/0Xt1n\n",
       "WKebS0rXSFdeWm81D2feEVddxjWtQ2nN03uluLnydJ1K7UjrlNal8/5Ldd75p/K6+44uV7fU32nM\n",
       "qc6zwux7Hq2bK687T83krZ5P8+24F/8391Iu1/Tc7LvTcV5L821nba/K49nlrp5La2Si7+Jc3FLM\n",
       "tF0za6ieS/3ZzeuZ/XV3TNmy/vUvAQAAAAAAAAAAAAD/V+EDMgAAAAAAAAAAAACgqviADAAAAAAA\n",
       "AAAAAAB4xwdkAAAAAAAAAAAAAEBV8QEZAAAAAAAAAAAAAPCOD8gAAAAAAAAAAAAAgKriAzIAAAAA\n",
       "AAAAAAAA4B0fkAEAAAAAAAAAAAAAVVW12Gw2b+6C19dXX8BicXG8Wq3s9a68l5eX1r3X63Wrbs/P\n",
       "z19ee3Xlv6Xr+evra3u9u5e2K8Xs6enJnr+5ubk4fnx8/PLa5XJpy3p7u0yHmXZWXfZBirHeW2m7\n",
       "tN0dWpeUayluYx+ldqQ4/Pr16+L4f//3f/91eXou1U3HjNI4pbg4WpeUS9vt9stzWm+dS1Q6r3Vz\n",
       "+ZFiqr/V/lUuDnouxaw73l1cUlmaa2ne6uRamiNTf+o8lq53be3mbTLWrTv+kjRHujhozFN/pjik\n",
       "tWR0Pp/teV37Z+7dndPu7u7s+d+/f18cu/kh5aGOqdSfKT/G+6V2ah/sdjt7vcsPPZfyfLPZtOqW\n",
       "5gdHY5bqlsbBWF5qR3d/7fZ2VX5PrPVO4/H29tae//vvvy+OXW6mPY/2Z2e/pbRdaX3uPrO4MZty\n",
       "Q/sntdP1t+bW/f29LSv1t/aR22+le2nMZuetcX5P/ZXGr64VLi6pLM3blOedfczs86/mTrq3W0M1\n",
       "Dilvu+uak/YCmqcz+zGt98w+8bO6uFxLY6RTVpXPH43/7LO56rz/UDqvHY9He30aB+O+RfdmKsVU\n",
       "6+LmyCqfP3qvNNekPtDz7vrue51O/6cxk/YVurakPZSjc0dqR3eNdFKed56Hqnzdu88wp9PJntcx\n",
       "1bm30nUn3duNg+68lfbL2geuT9I61M3TzvuR1M7ufjmV19lfd59h0nmXa6mden4m19Tsu1ON+U9+\n",
       "j0h1c3H76T2PxsHtax4eHmxZGqM0xjrvdbvzb5LKc3NR51tVVd7Lj/kx+w1H++9wOLSuH3X2KFXz\n",
       "c0uH3mtmL6Bldb6TfabzXS7FrNsH7l78C2QAAAAAAAAAAAAAQFXxARkAAAAAAAAAAAAA8I4PyAAA\n",
       "AAAAAAAAAACAquIDMgAAAAAAAAAAAADg3WKz2di/oNz9I9fpevdH0PUPTbs/xv3ZvdX5fL44dn/8\n",
       "Pf1heG1X+qPXnT/uPfuHwvUPx3f+uLe6vb29OHZ/+L2q6unpyZ4f75f6M5XVkWKmdTmdTvb67XZr\n",
       "z4/5sV6v7bX39/f2vP7R8jSmtP9dWan/U3/rONF8Gf3588eW5eaCz7g/RK/nVquVLet4PNrz//nP\n",
       "fy6OXdx0nlHaPyk/XHn625Qbbi6o+tjfbh5M7dSYu/767Ho1ts3leFWOqdYlxS2dH3Xm+iT1V2e+\n",
       "rerFWHXzNvW35paLW7ed+/3eXv/w8PDluZRbKs1bWnfXB93cSetUisMYt25/pTi58jp9X5X3CjoX\n",
       "ufLSvbS/ZueGsQ/SepvWIY1DGs9O6m+V4tZZOxItK93bzZN6LpWVYqpxc+X99Brp7qV5mOKfcjGd\n",
       "71yr7Ux1S/vOsby0NqS9uv7e9Vmah7T/0hqp+3E1Phvsdjt7bcprrdtMrum51I40R2p/u+tTWamP\n",
       "OuVp7nTnTKW55mLc3eOmMePGge4jUn9233e4tqS5Q+uS7p2ep8ffp/1Rmlt07+f2lVV+PujMt1X5\n",
       "2UBj7vogzcf62zSnHg6Hb1+bYtx5n1XVi2PK81Q3rYvr3zSeu89Xrp16LsUsxUHrNjMP6phJzzCd\n",
       "Z6K0Nvzks3n3OSLtK1N+jPebfd/cmRuq/Jqq/dfdPyudk90YTHmb9t8dGoPUjpSLnefpNH71fPe9\n",
       "7UhzZ+Z982d1c9JaobmW+iDNoaMUs7RX0N/PvB/56Vwbx0nnXeZnNHdS3Nw6pbmR+j+NZ50PXNxS\n",
       "f2qupT2Sq5v+Nq153bXfzc9pP9wZn1V+beFfIAMAAAAAAAAAAAAAqooPyAAAAAAAAAAAAACAd3xA\n",
       "BgAAAAAAAAAAAABUFR+QAQAAAAAAAAAAAADv+IAMAAAAAAAAAAAAAKiqqsXd3d2bu+Dp6ckXsFjY\n",
       "Y/X29vXtrq+vL46fn59tWZvNpnUvV97Vlf+WrnG4ubmx17++vn773MvLiy3r9vbWnj+fz98uz8X/\n",
       "s7otl0t7feqD79arKuea9pHLtcfHR1vWbrdr3Xu/39vz9/f3//y35rFyuVH1sZ0pN11ed/sz1U3v\n",
       "5dravVeaO1Iffbde36HjxPVBqre2M9XNtVN/m8ZUtw9c/2+3W1uWzkMpl1LcOvdO413jlMobx7Na\n",
       "rVYXx6k/NS5q7KMUs7TudO/t+kDHwF9//WXL+vPnjz2vea1z8Khb75TnbpzouZSXaT7W37t7p3pr\n",
       "zNK90/kxV0+nk71W6zYz13T3PGlf0VkL7u7u7PnD4dAqO4338Xzaw3b6qyrv39y40ZimOTPlprZN\n",
       "58VR6m+V5rlO/yepPzt1TzHVPkhzjbt3NzfSeeVyM5Wl/eNyoyrn2jhG07WpP9OYHKXx2d1fp7h1\n",
       "ci2VtV6vL47TmHFjTmM2k7ef1cXFLfWn9lG6txuj3Wevbn64Puvshz8rW3Xm49n+1Ji6/kwx6+Zt\n",
       "qvtYl1RWd16b2RNrvbXdqrteu3kutVNzp7MnTvVMZel4T9enZwVXtuquka5uqT+Px2PrXp3xnPI8\n",
       "Pf9qeS5uKf463mf6QOuV5qXUn513imkP031W6+wVUjvTfln7aGa+19+mZ7VuH7k+S2veT35D0Jil\n",
       "/uzOHW4cpJhpHNy7lCofB+3PbjtUd4w6v379ujhOa0vq77Eus+9Odcyle3f2d908d79P7ezOa6kd\n",
       "bi7SuvzkO+Lkp98puLrp3DH7/rr7rO9onqZ5zeFfIAMAAAAAAAAAAAAAqooPyAAAAAAAAAAAAACA\n",
       "d3xABgAAAAAAAAAAAABUFR+QAQAAAAAAAAAAAADv+IAMAAAAAAAAAAAAAKiqqsVms3mzFywWtoCX\n",
       "l5eL4+Vyaa9/fX39ZtXyva+vr+35x8fHi+Orq6+/l6d662+fn5/t9anuo7c32wW23t17pbK0XSnG\n",
       "2v/q169f//z333//ba9drVb2vNL+HaV2artSXqb8WK/X//z3/f29vXa73drzT09PF8eunVWXMVZa\n",
       "lxTj1N9aNxe3lJeduaDK94HGKLWzO6/NtPPm5saWrVwfaF4fDgdbVspbrZv2b0cnZlVV+/3enh/7\n",
       "tJsrqrtOOZpbaf5OMR37tJuXrqyqHLdx3lL62zQ3HI9He17nPVe3NOdpzFMfuLhqHqZ7p/PK5Vra\n",
       "R2h/bjYbe/3pdLLnx/u5vq/62D+prjqXuLJSnqcxo2PQ5aarV9XHmKUxlsobc3F2X6G/T2PMrXs6\n",
       "RtK9U39rLrryUl7qmEp53lmn0ryV+uh8Pl8cu/5PuaG5lXLN0f5J907t1Di5OXVmD/OZ7jzodMec\n",
       "a0t3P5zWoTTnjlJMEq1L2hO7MaXxT+3srlNuPUj17q5Tjt4rrfUpLzW3Ov2vNOYzddOYzeTGZ+W5\n",
       "cdN9Nkv37jxnpv7qvotJc407r2V13uN8RnPNtbUbh86cmtb69P6je2/XFo1p6l9d65WuHW6u6b5r\n",
       "SfOWq7ueS7mUzms73RhM7dS8nFk7tH9SWWn91jjM7Me0Lj/53jbVq/sOKq1D7l2txrS7501crqVn\n",
       "Fs3FNHe492d6r+47ZaXtcnF7eHiwZWndUjvdvTrrRlVup87/rm6prG47k/H3aQx01+OZvUD3XrPP\n",
       "Bp17/+Q74s66UtX/xuf2Ft3vETPvWnQN+/Pnjy2r+47KxSXlRneOdHHjXyADAAAAAAAAAAAAAKqK\n",
       "D8gAAAAAAAAAAAAAgHd8QAYAAAAAAAAAAAAAVBUfkAEAAAAAAAAAAAAA7/iADAAAAAAAAAAAAACo\n",
       "Kj4gAwAAAAAAAAAAAADe8QEZAAAAAAAAAAAAAFBVfEAGAAAAAAAAAAAAALxb3N7evrkLXl9fbQFv\n",
       "b/bnH1xdff3NerFYXBy/vLzYstJ5vdf19fW/qldV1XK5vDhOcXl+fv7y3Gq1sr9VT09P9rzW5ebm\n",
       "5strU8xUqqtrZ9VlzNO1KabaB47mkjqfz62y0/kxf1KMXR5WfezvFBd3frvdXhw/Pj7aslLctO4a\n",
       "x47NZnNxnPKjM9ekstbrtT2vcXLjII2R4/F4cZza4XJN+zrlWspbjYPWdbTb7WxZ9/f3rXt3xqjm\n",
       "sZodcyrNuaO0dqTxO+ZPikkav1qXdG9Hc+Ph4cFer+NZdeqSYqpxSnFxuai5k+aGNOdp3d290xjR\n",
       "PEx5nvJ23Bu4fULVx/46HA72+s763B2PSvvfjZuUS3p+Jpeqqk6n0z//nWKc6FqR5ofx3krrktah\n",
       "1Eeduaabt2lNdXXTdqX+Sv2t9+rEWGk7Z9bIbt6mPZGu7+76NKa0v/f7vb0+GXMrzXEprzWmbs+T\n",
       "8lDXirTGpbiNa8ts3uq90hh0uavtSv2Z1grl1tzZZ5bOvbTeqb9Sfuhc4cpL/aPjMe2J3TylMZuZ\n",
       "bz+r28z6rrk287xU1XuOSHtc/f3MM6ueS2vH7PuTUYqDSuN57O80Hrt7+6SzTs3eW+/l+re7Fszs\n",
       "x/Re3XeMStdE92yX5ufO+8mqXn+mOTM9k+qznKtbdx1KfZD2MWPbUt52953dvf2o+0zSeSat8s/X\n",
       "aUxpu1IfuPK63zZm92uj7veIpPNs1o1x4sZoaqfu1Trv5T4z5kPqX/dcUPWx7qlubs3V3PjJd4qz\n",
       "70b1fLre7aE0Bmm/1Y2DmwdT//zks5zeK7Uj6ew7unuczje8D/eyvwQAAAAAAAAAAAAA/D+DD8gA\n",
       "AAAAAAAAAAAAgKriAzIAAAAAAAAAAAAA4B0fkAEAAAAAAAAAAAAAVVW12O/39i+Jpz/ArX+QeUb3\n",
       "j9an6/UPars/Yt/9w9Puj3VX+T9MrX+sO8U4/THvjvQH0DUO5/PZXp/6YLlc/vPfqR2pbloXd+/b\n",
       "21tb1u/fv1v3HtvxmbEPxz9g/5l0/nQ6XRzPjDGNeWpnupfWbbfbfXlt94/WHw4He/1ms/nynOZC\n",
       "akd3TLm4uXnls9+m8e7O67yT2unmoc9+79qZ+lPrrf2rUtxGqZ2zea1c3bp9cDwe7fkUp47ueHdz\n",
       "aLes1A7NRXfvlGtal5Tnbkxtt9tvX1uV1zw978pL64pK7fzrr7/s+YeHh2/Vq+rjfJvmZ43jSOud\n",
       "9k/pXhpjF8d0L5VinM6PdUm5ksaU9lF3jzzS/uyuDUrHqMsnt3ZXfWxXmjP3+/2X53TeSnvYtB/T\n",
       "us30ge6vU1npuWTm3krj5MZzWrt1zM3seaou+zSN51Q3jYPr/7QOqc5zQrpfyst0Lx0HKW66t3dS\n",
       "3qZ26nOD249356E0p7p76bl07+7e343BFDMtK/W/i8P9/f3Fcdq7pdzQuWJmb6d9MPs8PdYlrQUp\n",
       "d1zZn3F9lNbf7r26dXdm1qnUv2ke0nGQcs+Vl8aUSmukjhN3fdrDalndeW7UfZ+Rcq+zfqd66/hM\n",
       "de3sr9K1KRd1fLrx2t1XpPm5M6d2n4fT+VSey2vNnTRmus84M7mm51PdXC52njH/Td3cWvTT3yPc\n",
       "85S2q/u8rDQ/XP+P7yM+o/vE9FyY6j7GdXbu0Halec31qc4F7vk2lVV1Gafu863q7ivc+NUYdd6l\n",
       "fIdra2pnt27unYb2Z2pHWls0pq5Puu/Kp95n/OtfAgAAAAAAAAAAAAD+r8IHZAAAAAAAAAAAAABA\n",
       "VfEBGQAAAAAAAAAAAADwjg/IAAAAAAAAAAAAAICq4gMyAAAAAAAAAAAAAODd4tevX2/ugqenJ1vA\n",
       "9fX1xfHj42Prenfu+fnZlvXy8mLP393dXRy7tqSyVqvVt8tKuu3cbrf2/OFwuDh+e/u6SzebjS1L\n",
       "+8+VVeX7s6pqsVj88983Nzf22vP5bM/r719fX7+8NtVbz6f+Xy6X365bake61xiz73DXr9fri+NU\n",
       "t9ROzVUX51SW9l/KJXcvPZf63+VO1ce6u+u7/ZXa6Wj8r678/wOU5uP9fn9x7HLzdDrZsna73cWx\n",
       "zksqzWtjrqaYpfPd+drlj8Z8Jm/1fLo29bfmh65byvV3t6xE2+bmh59cC6p8H2k705jROVVpH7n1\n",
       "Pa0FWu90fRpTY5xSjLW/071dO7WvU56nObUz36d7aS6l/Vjax6Q4jVLeat3TXOPmBy0rzSWpD/T3\n",
       "btyk+VfXjhRDV3etdxrP3b2f6/+05un++3g82uvdeNbfpvm5u367XOs+56Xr9VlNjfmT2pHioHFz\n",
       "61AaI5oLqZ3JmLtprKe5Q8dBGs9u3tOYpnsnWhd37+7+Os337l46Bmae8z/j6pZi2l2P3TjQeqR5\n",
       "KK15mqsubmn/pPuSNA46z9NpPKfzeq/uc+RX9frsWKW81pi7PE/7RJ3HOnVL/ZtyTdfIzn7K1auq\n",
       "/06ie75Dcy3lXmc9Tn3Q3eO63EvrsebOTIy7c2D3naPLj+5aMLPeVl324Wzeau50x+BIcyH1/+yc\n",
       "O+r298zcoTFNMU7v1jVOnWcY1X0P6Ob7zl6sqr/3d+V157wUlzROxrqnduheUHXzo/MOefYdxFje\n",
       "zHubqqpfv35dHKdnXNdH3b1893uFWyPTc6HGofvt09Vrtg86+5juu5Puc+RFWfaXAAAAAAAAAAAA\n",
       "AID/Z/ABGQAAAAAAAAAAAABQVXxABgAAAAAAAAAAAAC84wMyAAAAAAAAAAAAAKCq+IAMAAAAAAAA\n",
       "AAAAAHi32Gw2b+6Ctzd7um5ubi6OX15e7PXL5fLLc6fT6eJ4vV7bsp6enuz5zWbz7bqdz2db1mq1\n",
       "sueVi9vV1eV3+xRjF7PPfu/aktqhdUsxvr6+tufHPkgxTue1P13cXl9fW2U9Pz/b6zUu6vHx8Z//\n",
       "Tnmb7jWWVfVxjHVoHFKuJYvF4l/fO53v5rmT+iv1kc4Vbhyk/tHfpjHo5inNnRSTNB8rHRejNBd0\n",
       "pblj7MN07+54T3Fz+aPjc3ZMjXGYyY2qj3NoinGn7t08n7lXZ56pyu105ek53Yeo7jzlcnO73dqy\n",
       "tF1//vyx16d5baxL6i8dA2lOdec1JrPrreai6//j8di6V8o9Hf9qHMOpHWlMaF1SW9z8rTFK7ejO\n",
       "HW5cpPlZpdx0ffSTeVtVdTgc7PkOzds037s4aPxn26n3cvN9yh1dp9KY6qx7s89LmotuLtrv97Ys\n",
       "HSP39/f2+t1uZ88/PDx8WbZKz0t3d3cXx2nOdWNUY57qlvYpmouuvLTv0Dkx1a0zF6VcS+vt2J9V\n",
       "vm4pZt09Ucfs3q7zHiiNT83T1O7OvjL1feoDnafSmOqUlcZz6iNtm4tbillnD1t1OZ47z3Wf0d+n\n",
       "GLu26G/TeE3rmuauu777LNftE1ev1AfdZ3n3nJLyVnNnpm7azu7+Od3LjbHuWJ99B9W532wclBvv\n",
       "mrepnd29gItLupfuBWbm++47/+54d/f+6e8urv/1fYd7hqzqfxOY2QvovdLckfpgjEOa67tjZuY9\n",
       "vdYl3bu7F3BSruk8NLO/1t+mtaP7TOvilvJWn/XS9S5/OvuEqpy3neev7jv/7ruZEf8CGQAAAAAA\n",
       "AAAAAABQVXxABgAAAAAAAAAAAAC84wMyAAAAAAAAAAAAAKCq+IAMAAAAAAAAAAAAAHjHB2QAAAAA\n",
       "AAAAAAAAQFVVLdbr9Zu9YLGwBVxfX7euf3l5+fLc6+vrxfHV1dz37c1mc3F8PB6/vPbtzYbhQ1nP\n",
       "z8/2ehcHPZfK2u/39ry2y7VltVrZsrR/Un+m8p6env75b80V1Y2py4+UO4+Pj/Z81xiHFLPz+WzP\n",
       "397eXhwfDgd7/Xa7/fLc6XS6ONYxptJ5jatra8oN7e8xVz6T8ue79aqqurm5see1Lq4tKW+7XB90\n",
       "58gUMy3Pzc8ppp3xWZX7e7fb/fPfDw8P9tr1em3P63ifmdc0Rsvl0paV4jCe1/GqUn9q3dJ4duVp\n",
       "u1JZifbB2L+qOxekurn5vruHSVI+jGbq/ZlO3VNeat1Su9yY0f5M93bz0Gfn3XyeYqJ1072e+vPn\n",
       "jz0/xintK7vjOc1zbtxof6Z7p/Oam67/U55rH6W4ufzpzlOpnXovt3/7yZhV+bboviPtaVJMO32Q\n",
       "5gLN2zSeO+t3inFqZzrfuVb7J7WjU16KWaJ1S/NgJy6p/7tzrisv7a91fKbr3b5Df9t9/6H09248\n",
       "d/fLqW7uXrrGpVxLMdXcceMg3UvrnfaCKW/HuqRru/sO9+xd5ePWnb/TuqZrycz8oXHqPC+l9xuJ\n",
       "js/0TOTaqWMqleXmhqrevJXir79NdXP36u6fEm2nm+fSGNC6pLnEPfOk/ZJKMdV5yrUzzc/aB2kc\n",
       "pPLGuKVru+/aZtYOLWvmufCz8lx+dN9fd9YGpe+c0lqf5m/l5oc0d2j/pbi4OHRzo7uG/uT3iHR9\n",
       "qvs4t6Qxld4D6Hv51P8uf7TeM9/R9Pez7xS7+5TOu7Zu/yfu+rTuaF1mvldpzs/uO3Vf4taW7ruT\n",
       "1Acuf/gX5a1NDwAAFj1JREFUyAAAAAAAAAAAAACAquIDMgAAAAAAAAAAAADgHR+QAQAAAAAAAAAA\n",
       "AABVxQdkAAAAAAAAAAAAAMA7PiADAAAAAAAAAAAAAKqKD8gAAAAAAAAAAAAAgHd8QAYAAAAAAAAA\n",
       "AAAAVFXVYrPZvM0UcHV1+Q36+fn5X5d1c3NzcbxYLOz1j4+P9vx6vb44dnW7vr5u3Wu1Wtnr0/nR\n",
       "y8tL695K4+bKS+08Ho8Xx7vdzl6f+vvt7f9Lr9SfqSztT9eWFLPNZtO6frlc2vOj0+lkz+uYUdqu\n",
       "8/lsr3d9pDF9enqaqpvGwfXp2PefeX19bd3b9ZHmRhp/9/f39rzWxfV/qrfGIV3vxq/GO80dqQ+U\n",
       "ziWjlIcqzTWd+SD1Z4qDcu2s8rmmuTA7f3fqpWNGacxTrul8P+qsn1Uf51SV5sVRytvb29uL49QH\n",
       "Kdc6ZXX727WlO3ekuKQxN46jblmprp29X7o29VeqS4eWlcZrmovGuKUYp1zSMeXGq947SX3QaWeV\n",
       "31uk/tR5LV3v7tXN29TfnfLu7u5sWbrvSHOiK09/2+n773DtTPthzdP9fm+vT/vSce+RxlRah/T3\n",
       "rg90DVQ6RlIupfW7c23aK6jZObdTVqqb/t6Vl/pTc7HzTKq0/9KY6jwXVvX6X2ldOvvKVI/Uju7c\n",
       "0t2Pj7rPLMmYi6nsNB/reJ9ZQ3XOm52/dfy6tnbzMMVtPJ/mzBQzPZ/mJTfXaH+mPU13HLj9WJoD\n",
       "u3tY9/yt7Ur9m/qgU7cUM83zlEuuPM2FtDak9zyaq67d6f1H9z1PyuvxfBpT6blg5r28+uk1T+Pg\n",
       "ru/uidL1nWeW1O4UY31P667vPmuntaOzFqTx2X1nMbMX6LyHrZr/ZjRKMdU+SN9KDofDl+e22+3F\n",
       "8exzxBin7nt4pXNselZz7dSyZt7DVvXyo7tfTnsFV173HUSS5vfOvbrrlMsP/gUyAAAAAAAAAAAA\n",
       "AKCq+IAMAAAAAAAAAAAAAHjHB2QAAAAAAAAAAAAAQFXxARkAAAAAAAAAAAAA8I4PyAAAAAAAAAAA\n",
       "AACAqqpabLfbN3fB1ZX/xvz8/Ny64XK5/Loyi8XF8dPTky1Lr1fr9fri+OXlJdTua6+vrxfHb282\n",
       "bDZuWm8tW7mYVVWdz2d73t1bbTabi+MUs1Te2IfaH+p0OrXudXNz8+W1KaZ6Pl2vcVFjH+x2u9a9\n",
       "1eFwuDhO5f3+/fvLcxrz6+trW1aiee9yb7Va2bK6feDK03ql8ZnyVsevG8/H49GWpf2XxpSLg/Zf\n",
       "6s9UN/29a2eKaTqvOn3QLTvdK5WXcneU5q3OvWZjrHNiqpvLNZ07fnovMJNrOobSXqEz783OkSrF\n",
       "zdG6pLU+1X2MazfX0vrt+kD7K439pNNHKS91fzW7HxuluT6V1d13uvNaVsrL7pzryksx1d+m8ezi\n",
       "pr9Nueb2kZ/9vhPjVFb3eleP1M5uLrrru3v5lOdpjI7jfSZmVR/Xdlded6+W5qUUhzF3U16mMaIx\n",
       "TXVzzzgPDw8Xx6n/E42b6//Un7q/fnx8tNe78av9nZ690nqs7UrPkY7298weVn+b8rx7L9cHaQzo\n",
       "vdLckHJxrMvMe5uqqu12a8+7eysdA2m8p2c5HSeu/9MY0bL2+729fmzL7POQxiHlpjvfjXFaWzrX\n",
       "d/aJ37m3y02dh9I885PP6ml8dp9/XBy03inGac3TXHXjO40ZvVeKcYrbmKtprU8x1jjpeq7cuqft\n",
       "THVLcdNcdf3fnbfSeHdzx0+/U9Tfu/k5zXmat6md7l46d6T1tPsOYuZ9ita7+15IjWOu+15AaX//\n",
       "5PP07PuRcQylslI7NaapP11cdWynXJt91vtuvao+tjPNNW7M/fQetpM73ef8mXen/AtkAAAAAAAA\n",
       "AAAAAEBV8QEZAAAAAAAAAAAAAPCOD8gAAAAAAAAAAAAAgKriAzIAAAAAAAAAAAAA4B0fkAEAAAAA\n",
       "AAAAAAAAVVW12O/3b+6C5+dnX8BicXG82+3s9YfD4ctz19fXF8evr6+2rGS5XF4cPz09ffta9fj4\n",
       "2Lr3zc3Nl+c0ZldX/ju+q/dn93Jxe3l5sWXd3t5eHN/f39vrV6uVPT/mT2pnyjXNDz0epf7Ue6W4\n",
       "pPLGupxOJ3ut9r9ar9f2vHp4ePjynObG25sd7nU+n+15Lc/l+fF4tGVpzF1/VuX8GaV2ds+7uqXx\n",
       "qWMk3dvlmtYjzUsp1/RerrxU7640v49xS2NK5y2l4z3luZvXNA9TWWnuGMtL89B2u7XntY/SnOpo\n",
       "rqXxnOYtjZvr09ROHXNpHXJ5re1M43mz2djzqQ9HaQxof6Z2uvm46jJXU25o3qa6uvlZy0q5lPpf\n",
       "+9PNc2nu0P5Pc2Zap8Y4pWtTrnX3iu5+mhspT9O8pnVx+dFdOzr7ynSvFLNfv37Z83/+/Lk4nmmn\n",
       "1iXludt/d/b9/6ZuLjdTTLUu6d5pzI3n0727+yu3bqW5Q/M0jZlOH8zOHfr7NN5d3bprQdoL6Pzv\n",
       "+r8bh7Q+u7lDy+o8c3yHG+/d8Zv2/n/99deX53RemX3XonFyfdbde6f+/P37tz0/5n3nOf4751N+\n",
       "uD7qPHt9p27ah65PU0z1PV1aj8fzqR2pLJ2n0pzpxpSu3en9ZNoT63nXlu6YmnlnofVI954d7x26\n",
       "T5l5JtUYzK5D+nu3Rqb+6b6/7uwFOu9KvnOvmbmmu7/uvt9216c9jOZa993cSGPQ/RaitF2uvNTf\n",
       "3We5zreP7nOC6jzrpZh15tuqvEaO+850bapb9/pOXGbnjjEf0jNmyuvuuzZ3XmOU8rY75tz16d1Y\n",
       "573dZ/ceddfXlDtaN3d999l85rsc/wIZAAAAAAAAAAAAAFBVfEAGAAAAAAAAAAAAALzjAzIAAAAA\n",
       "AAAAAAAAoKr4gAwAAAAAAAAAAAAAeMcHZAAAAAAAAAAAAABAVVUt1uv1m7vg9fXVFrDZbC6OX15e\n",
       "/nVl3t4uq3J9fW2vf35+tufT7zu0br9+/bLX//nz58tzq9Xq4vjp6cmWtVgsQu0uPT4+fnlO+0tp\n",
       "O9P1h8PBnh/bmnJpuVza88fj8eL46urr//8hlaUxT9f/z//8jz3v+rvrdDpdHKc813yakcaM5sdP\n",
       "3svl7WfXz1yb2qF9MHMvl6efceO9Oxek+VjPu7p2+36329nzv3///vbvUwxTO/X3Dw8P37630jy9\n",
       "vb21Zem8pcb8SWMgzVMah5Sb5/P5y3Mag9T/aR3Ttrm2pDxfr9cXx2mOdPmj90q5lOqmddG6frde\n",
       "VR/zNM31qQ/G+6Vc0txIewHXBxrTlEvb7dae78xbqZ339/cXx6mdKcZjH6V2plzSdqa2uHVLc6e7\n",
       "31Kd9Xh2H6nc/Kz1nn0O6DyXpLlDf5v2xI7mvJvLq/LcobnoxlQaA9rOdH1nLkrtSGNO2+X6oDtG\n",
       "0p4n1W1sWxoTae3QdSdd7+Zv7b+03nafM10fdPd+br397N4jza00pmb2HaqzrlTNzWvd/vzJZ5zu\n",
       "Xj2tkWlMdeKU2qFxS9e78xqHtBakdmic0rOEo2MoxXis++z7Cm3nzDtFjUl6rr+7u7PndU52bUlx\n",
       "0LqlGHeel7p7XtVZO9IY0Lqlec71t94rzfVpDb25ubk4dnNN2g9rzFNcOuM9jYHu3m5m3eo8x1f1\n",
       "3xu5uqXnQh3fnf2W6s473Wc9d333Pd/MO2Dd43TfMan0+05Zer7b/2q/33/73mmMaP/N7FO63746\n",
       "fZDmme6zWYqL63/N05k9ymf3cvdO73w7z7/pXtqfM3uYqv4aOlN2B/8CGQAAAAAAAAAAAABQVXxA\n",
       "BgAAAAAAAAAAAAC84wMyAAAAAAAAAAAAAKCq+IAMAAAAAAAAAAAAAHjHB2QAAAAAAAAAAAAAQFXx\n",
       "ARkAAAAAAAAAAAAA8I4PyAAAAAAAAAAAAACAqqparFarN3fBarWyBby92Z9/vOFi8e2yUtnL5dKe\n",
       "f3x8vDi+ubn59r3V1dXlt/bz+Wyvd3HTsl5fX21ZqZ1PT0/fvj7dS89rXbvljf3t+r4q98HLy8vF\n",
       "sYuxXuvq9R23t7f2/PPz8z//fTgc7LWzea1SH3Xunc6P7Uz3Xq/Xtqzj8XhxnPrE3UvHwPX1tS1r\n",
       "s9nY81qetnuU6q15mmLcmSNT38/29yiN9TTmVMqPcY5N/eX6p+pj3dO9T6fTl+e0P3WdUW7dqbqM\n",
       "W4pxKqszF1TluI3SmtcdU27+TuNX59h0vctNrYfWU+33e3teY+rqlsaM9meaa1IfjWtLyhUdAyn3\n",
       "XO529xWpnZ0YpzlO+1/XJZX6f8yfTn98p26Ji1tnP1yVx4HGtVvXkcYp5YcbN5oLqV7dPnL51I1B\n",
       "mn9n5g6V+lvz3pWf5nqNURrPKddGs3OHtsvFJfWPtjOtQ6nu4/1SLnWf5dL1rm4a05RLDw8PrXu5\n",
       "tnZyo2puz6tjPfVnonOuKy/lmu5Zu3sHd667f1Yat+7z9UhjlJ6nO++oZt+1qJm5qLvmdc2sU1qX\n",
       "NKY6YzQ9L2ndUl1ded3x211TZ/Y8OuZSWS7G2s7UjjQOdH13/Z/mDh0DnXeG6ifXtM/Ou7akuUHP\n",
       "p7p1njPTtd0xMjPXaC64dyX/5l6uD9J41jjM5Jq2M5WV3il1xnuKqep+v3D1SM9D3T3uzJ5HY57G\n",
       "YOqjju47whQXt0513/Ok+WAsL42/3W5nz3f2sFU+F3VdSv2Z1jE97+qW9h3625l3sXqvlEuJ9nf3\n",
       "u+tI653ed7mY8i+QAQAAAAAAAAAAAABVxQdkAAAAAAAAAAAAAMA7PiADAAAAAAAAAAAAAKqKD8gA\n",
       "AAAAAAAAAAAAgHd8QAYAAAAAAAAAAAAAVFXV8vr62l7w/Pxsz19d/dw36OVyeXF8Op2m7q1tWywW\n",
       "375Wvby8XBzf3NzY613ctN7deyuNmx6PHh8fbVnq7e3Nnk9xGGOecinFQfvPtTPVe71et65PcRt/\n",
       "Pxsz9fr6as+7cXA+ny+OU91Srq1Wq4tjN6ZSvbW/U//rvV090tyQ4tCpW7qX9kGKi+amk2KW7qXc\n",
       "GH16erK/3e12F8ezY2rs71SWmwuqPtY9tcXRmKd7uzHSvTbVW+syM+dqXqd5a2aeUik3OmteurfG\n",
       "dLvd2rLSvkT70PWpm9Oqqg6Hw7fL+o6xj9KYUjN7Pe2f7r2V/j71v6NjIM2/aQyOdUtjJp3Xuj08\n",
       "PNjrO7prg9K6ufJS3uo46O7tXT3SGrnZbOx5nUPd9brWJymXXBy0nbe3t7as1N/aB24eTOuK5vX9\n",
       "/b29vrP3T9emuUVz0V2f9sNdnVxMuZTmDm3X8Xi017t5T3/bfVZTmtduHHT3HSk33ZrbLSvNHZo/\n",
       "7t7pXlq3FGO3Juq+IrUj6c57jtZ7v99PlTfu11JZqQ+6z3JubtG8nt0TKTd36bOa0namXBvbkq7t\n",
       "7mH//Pljz9/d3X15TvuzOy+l8+5ZoPMcX5X3dm6Martmn9U0bjPzs+ZhN8YjrfdMWZ+Zeb7SGKW9\n",
       "Q5qLxjk6lZX6U9uV5msXB52fU56nmGrb3N4ixaGz3lb58dt9x5DWjs69U8x0LkjvJFxMu+9Of3Jv\n",
       "95Pvmz+7dyrP0T2S0vV65plV65X2AqkdnXcQaS7QPkrPrJ339LPvDPX3ri1un1D1cQzN5Fr32Su1\n",
       "U+cW16c//Y3PjVH+BTIAAAAAAAAAAAAAoKr4gAwAAAAAAAAAAAAAeMcHZAAAAAAAAAAAAABAVfEB\n",
       "GQAAAAAAAAAAAADwjg/IAAAAAAAAAAAAAICqqlrsdrs3d8Hr66stYLfbXRwfj0d7/fPz89eVWSzs\n",
       "b7uuri6/j69Wq39dlrZrv9/b6x8fH79dLz1WLmZVH9vlrk8xeHu7TIflcjlVt5eXl3/+O7Xz+vra\n",
       "ntf8OJ/P9npH65Lasdls7Pnx9ylmT09P9rzGYYxhl8YsjTHtf9WpWypL+2Bm/GtZad5K99Lx6/o0\n",
       "laUxSuPAxU3vlcZMmo/X6/XFsRsHqd7azlQ3N0dq3W5ublr3VhpTbbc6nU5fntPcSv3fmSPTPJPm\n",
       "b50T0zhwfZR+q9J41zi5MZXK6l7v+qAzBn7aT4+pzl4iXau5lMaMW9e6e57uvmOmz3Qvl+alNC5S\n",
       "3Tu0Lqn/3Tyov00x07290vxw7XbzaVXOLeX6SOeZNGd291durkn9o7mT5nsXt+6eJ9Hy3P469Zf+\n",
       "9j//+Y+9/s+fP/b8uP4fDgd7bZpbtO4ubmlt7z5HdJ5xUl6m8z+59//Jvfpnv3d9lp7zdG+Yxrsb\n",
       "UxrTVFZ3zM08m3fXPJdreq/UjjSmdO139+7We+ZdS9Vl/qR9YprXuvtSF1fNtfSMk8acjpOZvb3e\n",
       "q/MeML3fSDHUOKTyXFz0tymGaQzq87S7PpXVrZs7r/2TxmvqT+2jzvOT0t+mdcvFTXO62w6lcZp5\n",
       "n6V5m+a5zvvQ2bLSGFKdZ5jUn6lunfe6aUxpLt7f39vrO+3sjud0L9enaZ+oZaU10PWB/jb1V7c/\n",
       "XX6kNU9jmq5PcRilGP/0fszVvbuvSHvicV5M83P3OWLmO47GaPZ7RHcf6+hzQdp3uucIjXmaG9J5\n",
       "Lc/lefcdUfedxYh/gQwAAAAAAAAAAAAAqCo+IAMAAAAAAAAAAAAA3vEBGQAAAAAAAAAAAABQVXxA\n",
       "BgAAAAAAAAAAAAC84wMyAAAAAAAAAAAAAKCqqpbPz8/2gsViYc+/vLy0rr+5ufny3Ovrqz3u1i2V\n",
       "P7q68t/S1+t1697L5fLLc9fX1xfHGkO1Wq3s+aenp2/fu9ufKT+0LWqz2Xy7rOR0Ol0cd3JJaRxS\n",
       "/7t7VV32QYpJupf+/nA42Otdn3bHSPL29vZj12ofdeMy0naez2dbVrqXlufuncav5k4aB65uGrMU\n",
       "YzcXfPb73W735bUpD3WeSmMwjZPx/PF4tNeO88xn9Pezc1GnrDR/pziMUl53y+6M5zRmUll63tUt\n",
       "xTSNOdWZO1I7Un/qmNP1uXMvbWfqg87c4upV9TFmj4+P9nrdI426MU730hhvt9svr0258vDwcHHc\n",
       "mZfS/dK8lPpLz6d9iDuvc2DKpZQfnXWtm+fp+s4a2c1z1dkrpjVP6zIzP2tZKWbdvHbXp32Fmn2O\n",
       "GNc9N89U5T7Quru5Rp85lOaC2z9V5f34eD7NWylm2s7UFkfbmfo/jTnNB9enbm6v+hgnnc9VZ781\n",
       "S8ekWw/SHne/318cp72g6wPNw7SnSffSdrm2pPGr0l6gM0ZTO7v7yjSeO2vFzP7qM65uaR+h4zO1\n",
       "c3w2/Ok9T/c9wkjn4zQ3pLVD82dmb6+5ke7txqDWa3YvoPfSuWeU1gKN+d3dnb3exbTzrvM7tA9c\n",
       "nqeYdvfqyTiHpnZ2144017hc1HOzc2qnD7vPjekZx53Xe6V1Jo2pzpya6q3tTHOH25dqO1N/pXtp\n",
       "ea5/u++MUt0663G6Nu159PcpLq7unW8bVXkvMMY8zQ2pD7rfENzc0v32leYGjbnbW3Sevapy3Fx/\n",
       "d5/NUxw6e6LUzu57PZeL/AtkAAAAAAAAAAAAAEBV8QEZAAAAAAAAAAAAAPCOD8gAAAAAAAAAAAAA\n",
       "gKriAzIAAAAAAAAAAAAA4B0fkAEAAAAAAAAAAAAAVcUHZAAAAAAAAAAAAADAOz4gAwAAAAAAAAAA\n",
       "AACqqur/AOffME8h5NPoAAAAAElFTkSuQmCC\n",
       "\" transform=\"translate(290, 44)\"/>\n",
       "</g>\n",
       "</svg>\n"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "imshow(mean(image4D, dims = 4)[..,1,1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simulate Measurement"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Generate potential density function (pdf)\n",
    "**Goal:** Generate a pdf that satisfies the following criteria:\n",
    " 1. Values of pdf are valid probability values (i.e. they are in the rage of $[0,1]$)\n",
    " 1. There is an area in the middle of the image which has a predefined radius, and inside that area we perform no undersampling\n",
    " 1. Left to the fully sampled area, the probability should be proportional to the distance from the center raised to the `p`th power\n",
    " 1. Right to the fully sampled area, the probability should be $0$.\n",
    " 1. Integral of the pdf normalized by the area of the support of the pdf has to be equal to the the undersampling factor\n",
    "   - That, of course, violates the definition of pdf\n",
    "   - so actually it is only a pdf-like function that maps each pixel (in k-space) to a probability value which tells us, how likely we will pick that value during undersampling\n",
    "   - In other words, we can say that the expected number of undersampled values should be equal to the undersampling factor times the area of the support of the pdf\n",
    "   \n",
    "**Symbolic calculation:**\n",
    "\n",
    "1-3rd conditions above:\n",
    "$$\n",
    "PDF: [-1,1] \\rightarrow [0,1],\n",
    "PDF(x) = \\begin{cases}\n",
    "(1-|x|)^p + b : x < -r \\\\\n",
    "1 : -r \\le x \\le r \\\\\n",
    "(1-|x|)^p + b : r < x\n",
    "\\end{cases}$$\n",
    "\n",
    "4th condition above:\n",
    "$$uf = \\frac{1}{2}\\left(\\int_{-1}^{1} PDF(x) dx\\right) = \\frac{1}{2}\\left(\\int_{-1}^{-r} \\left[(1+x)^p + b\\right] dx + \\int_{-r}^{r} 1 dx + \\int_{r}^{1} \\left[(1+x)^p + b\\right] dx \\right) = \\frac{(1-r)^{p+1}}{p+1} + b(1-r) + r$$\n",
    "\n",
    "Calculating bias:\n",
    "$$b = \\frac{uf - \\frac{(1-r)^{p+1}}{(p+1)} - r}{(1-r)}$$\n",
    "\n",
    "**Input:**\n",
    " - `dataLength` - length of output vector\n",
    " - `p` - power of polynomial\n",
    " - `uf` - undersampling factor (e.g. 0.5 for half)\n",
    " - `normType` - 1 or 2 for L1 or L2 distance measure\n",
    " - `fs_radius` - radius of fully sampled center\n",
    " - `disp` - display output\n",
    " \n",
    "**Output:**\n",
    " - the pdf\n",
    " \n",
    "*Corresponding Matlab code:* `utils/genPDF.m`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "generatePDF (generic function with 1 method)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function generatePDF(dataLength, uf; distType = 2, r = 0.1, max_p = 50, disp = false)\n",
    "    pdf = nothing\n",
    "    \n",
    "    for p = 0:max_p\n",
    "\n",
    "        fs_end = floor(Int, r * dataLength)\n",
    "\n",
    "        pdf = ones(dataLength)\n",
    "        distance_map = abs.(range(0, 1, length = dataLength))\n",
    "        pdf[fs_end+1:end] = (1 .- distance_map[fs_end+1:end]).^p\n",
    "        \n",
    "        # shift the exponential part to fullfil condition 4\n",
    "        diff = uf * dataLength - sum(pdf)\n",
    "        diff < 0 && continue\n",
    "        pdf[fs_end+1:end] .+= diff / (dataLength - fs_end)\n",
    "        all(x -> 0 <= x <= 1, pdf) && break\n",
    "    end\n",
    "    \n",
    "    (pdf isa Nothing || any(x -> x < 0 || 1 < x, pdf)) && error(\"infeasible with given parameters\")\n",
    "    \n",
    "    collect(pdf)\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n",
       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n",
       "<defs>\n",
       "  <clipPath id=\"clip410\">\n",
       "    <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<path clip-path=\"url(#clip410)\" d=\"\n",
       "M0 1600 L2400 1600 L2400 0 L0 0  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<defs>\n",
       "  <clipPath id=\"clip411\">\n",
       "    <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<path clip-path=\"url(#clip410)\" d=\"\n",
       "M174.862 1486.45 L2352.76 1486.45 L2352.76 47.2441 L174.862 47.2441  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<defs>\n",
       "  <clipPath id=\"clip412\">\n",
       "    <rect x=\"174\" y=\"47\" width=\"2179\" height=\"1440\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<polyline clip-path=\"url(#clip412)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  222.803,1486.45 222.803,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip412)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  907.675,1486.45 907.675,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip412)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1592.55,1486.45 1592.55,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip412)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  2277.42,1486.45 2277.42,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip410)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  174.862,1486.45 2352.76,1486.45 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip410)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  222.803,1486.45 222.803,1469.18 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip410)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  907.675,1486.45 907.675,1469.18 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip410)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1592.55,1486.45 1592.55,1469.18 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip410)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  2277.42,1486.45 2277.42,1469.18 \n",
       "  \"/>\n",
       "<path clip-path=\"url(#clip410)\" d=\"M 0 0 M222.803 1515.64 Q219.192 1515.64 217.363 1519.2 Q215.558 1522.75 215.558 1529.87 Q215.558 1536.98 217.363 1540.55 Q219.192 1544.09 222.803 1544.09 Q226.437 1544.09 228.243 1540.55 Q230.072 1536.98 230.072 1529.87 Q230.072 1522.75 228.243 1519.2 Q226.437 1515.64 222.803 1515.64 M222.803 1511.93 Q228.613 1511.93 231.669 1516.54 Q234.747 1521.12 234.747 1529.87 Q234.747 1538.6 231.669 1543.21 Q228.613 1547.79 222.803 1547.79 Q216.993 1547.79 213.914 1543.21 Q210.859 1538.6 210.859 1529.87 Q210.859 1521.12 213.914 1516.54 Q216.993 1511.93 222.803 1511.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip410)\" d=\"M 0 0 M884.446 1512.56 L902.803 1512.56 L902.803 1516.5 L888.729 1516.5 L888.729 1524.97 Q889.747 1524.62 890.766 1524.46 Q891.784 1524.27 892.803 1524.27 Q898.59 1524.27 901.969 1527.44 Q905.349 1530.62 905.349 1536.03 Q905.349 1541.61 901.877 1544.71 Q898.405 1547.79 892.085 1547.79 Q889.909 1547.79 887.641 1547.42 Q885.395 1547.05 882.988 1546.31 L882.988 1541.61 Q885.071 1542.74 887.294 1543.3 Q889.516 1543.86 891.993 1543.86 Q895.997 1543.86 898.335 1541.75 Q900.673 1539.64 900.673 1536.03 Q900.673 1532.42 898.335 1530.31 Q895.997 1528.21 891.993 1528.21 Q890.118 1528.21 888.243 1528.62 Q886.391 1529.04 884.446 1529.92 L884.446 1512.56 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip410)\" d=\"M 0 0 M920.418 1515.64 Q916.807 1515.64 914.979 1519.2 Q913.173 1522.75 913.173 1529.87 Q913.173 1536.98 914.979 1540.55 Q916.807 1544.09 920.418 1544.09 Q924.053 1544.09 925.858 1540.55 Q927.687 1536.98 927.687 1529.87 Q927.687 1522.75 925.858 1519.2 Q924.053 1515.64 920.418 1515.64 M920.418 1511.93 Q926.229 1511.93 929.284 1516.54 Q932.363 1521.12 932.363 1529.87 Q932.363 1538.6 929.284 1543.21 Q926.229 1547.79 920.418 1547.79 Q914.608 1547.79 911.53 1543.21 Q908.474 1538.6 908.474 1529.87 Q908.474 1521.12 911.53 1516.54 Q914.608 1511.93 920.418 1511.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip410)\" d=\"M 0 0 M1555.92 1543.18 L1563.55 1543.18 L1563.55 1516.82 L1555.24 1518.49 L1555.24 1514.23 L1563.51 1512.56 L1568.18 1512.56 L1568.18 1543.18 L1575.82 1543.18 L1575.82 1547.12 L1555.92 1547.12 L1555.92 1543.18 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip410)\" d=\"M 0 0 M1590.89 1515.64 Q1587.28 1515.64 1585.45 1519.2 Q1583.65 1522.75 1583.65 1529.87 Q1583.65 1536.98 1585.45 1540.55 Q1587.28 1544.09 1590.89 1544.09 Q1594.53 1544.09 1596.33 1540.55 Q1598.16 1536.98 1598.16 1529.87 Q1598.16 1522.75 1596.33 1519.2 Q1594.53 1515.64 1590.89 1515.64 M1590.89 1511.93 Q1596.7 1511.93 1599.76 1516.54 Q1602.84 1521.12 1602.84 1529.87 Q1602.84 1538.6 1599.76 1543.21 Q1596.7 1547.79 1590.89 1547.79 Q1585.08 1547.79 1582 1543.21 Q1578.95 1538.6 1578.95 1529.87 Q1578.95 1521.12 1582 1516.54 Q1585.08 1511.93 1590.89 1511.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip410)\" d=\"M 0 0 M1617.91 1515.64 Q1614.3 1515.64 1612.47 1519.2 Q1610.66 1522.75 1610.66 1529.87 Q1610.66 1536.98 1612.47 1540.55 Q1614.3 1544.09 1617.91 1544.09 Q1621.54 1544.09 1623.35 1540.55 Q1625.17 1536.98 1625.17 1529.87 Q1625.17 1522.75 1623.35 1519.2 Q1621.54 1515.64 1617.91 1515.64 M1617.91 1511.93 Q1623.72 1511.93 1626.77 1516.54 Q1629.85 1521.12 1629.85 1529.87 Q1629.85 1538.6 1626.77 1543.21 Q1623.72 1547.79 1617.91 1547.79 Q1612.1 1547.79 1609.02 1543.21 Q1605.96 1538.6 1605.96 1529.87 Q1605.96 1521.12 1609.02 1516.54 Q1612.1 1511.93 1617.91 1511.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip410)\" d=\"M 0 0 M2241.29 1543.18 L2248.92 1543.18 L2248.92 1516.82 L2240.61 1518.49 L2240.61 1514.23 L2248.88 1512.56 L2253.55 1512.56 L2253.55 1543.18 L2261.19 1543.18 L2261.19 1547.12 L2241.29 1547.12 L2241.29 1543.18 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip410)\" d=\"M 0 0 M2266.31 1512.56 L2284.67 1512.56 L2284.67 1516.5 L2270.59 1516.5 L2270.59 1524.97 Q2271.61 1524.62 2272.63 1524.46 Q2273.65 1524.27 2274.67 1524.27 Q2280.45 1524.27 2283.83 1527.44 Q2287.21 1530.62 2287.21 1536.03 Q2287.21 1541.61 2283.74 1544.71 Q2280.27 1547.79 2273.95 1547.79 Q2271.77 1547.79 2269.5 1547.42 Q2267.26 1547.05 2264.85 1546.31 L2264.85 1541.61 Q2266.93 1542.74 2269.16 1543.3 Q2271.38 1543.86 2273.86 1543.86 Q2277.86 1543.86 2280.2 1541.75 Q2282.54 1539.64 2282.54 1536.03 Q2282.54 1532.42 2280.2 1530.31 Q2277.86 1528.21 2273.86 1528.21 Q2271.98 1528.21 2270.11 1528.62 Q2268.25 1529.04 2266.31 1529.92 L2266.31 1512.56 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip410)\" d=\"M 0 0 M2302.28 1515.64 Q2298.67 1515.64 2296.84 1519.2 Q2295.04 1522.75 2295.04 1529.87 Q2295.04 1536.98 2296.84 1540.55 Q2298.67 1544.09 2302.28 1544.09 Q2305.92 1544.09 2307.72 1540.55 Q2309.55 1536.98 2309.55 1529.87 Q2309.55 1522.75 2307.72 1519.2 Q2305.92 1515.64 2302.28 1515.64 M2302.28 1511.93 Q2308.09 1511.93 2311.15 1516.54 Q2314.23 1521.12 2314.23 1529.87 Q2314.23 1538.6 2311.15 1543.21 Q2308.09 1547.79 2302.28 1547.79 Q2296.47 1547.79 2293.39 1543.21 Q2290.34 1538.6 2290.34 1529.87 Q2290.34 1521.12 2293.39 1516.54 Q2296.47 1511.93 2302.28 1511.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><polyline clip-path=\"url(#clip412)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  174.862,1445.72 2352.76,1445.72 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip412)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  174.862,1106.28 2352.76,1106.28 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip412)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  174.862,766.846 2352.76,766.846 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip412)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  174.862,427.411 2352.76,427.411 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip412)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  174.862,87.9763 2352.76,87.9763 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip410)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  174.862,1486.45 174.862,47.2441 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip410)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  174.862,1445.72 200.997,1445.72 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip410)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  174.862,1106.28 200.997,1106.28 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip410)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  174.862,766.846 200.997,766.846 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip410)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  174.862,427.411 200.997,427.411 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip410)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  174.862,87.9763 200.997,87.9763 \n",
       "  \"/>\n",
       "<path clip-path=\"url(#clip410)\" d=\"M 0 0 M62.9365 1431.51 Q59.3254 1431.51 57.4967 1435.08 Q55.6912 1438.62 55.6912 1445.75 Q55.6912 1452.86 57.4967 1456.42 Q59.3254 1459.96 62.9365 1459.96 Q66.5707 1459.96 68.3763 1456.42 Q70.205 1452.86 70.205 1445.75 Q70.205 1438.62 68.3763 1435.08 Q66.5707 1431.51 62.9365 1431.51 M62.9365 1427.81 Q68.7467 1427.81 71.8022 1432.42 Q74.8809 1437 74.8809 1445.75 Q74.8809 1454.48 71.8022 1459.08 Q68.7467 1463.67 62.9365 1463.67 Q57.1264 1463.67 54.0477 1459.08 Q50.9921 1454.48 50.9921 1445.75 Q50.9921 1437 54.0477 1432.42 Q57.1264 1427.81 62.9365 1427.81 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip410)\" d=\"M 0 0 M79.9503 1457.12 L84.8345 1457.12 L84.8345 1463 L79.9503 1463 L79.9503 1457.12 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip410)\" d=\"M 0 0 M99.9039 1431.51 Q96.2928 1431.51 94.4641 1435.08 Q92.6586 1438.62 92.6586 1445.75 Q92.6586 1452.86 94.4641 1456.42 Q96.2928 1459.96 99.9039 1459.96 Q103.538 1459.96 105.344 1456.42 Q107.172 1452.86 107.172 1445.75 Q107.172 1438.62 105.344 1435.08 Q103.538 1431.51 99.9039 1431.51 M99.9039 1427.81 Q105.714 1427.81 108.77 1432.42 Q111.848 1437 111.848 1445.75 Q111.848 1454.48 108.77 1459.08 Q105.714 1463.67 99.9039 1463.67 Q94.0937 1463.67 91.0151 1459.08 Q87.9595 1454.48 87.9595 1445.75 Q87.9595 1437 91.0151 1432.42 Q94.0937 1427.81 99.9039 1427.81 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip410)\" d=\"M 0 0 M126.918 1431.51 Q123.307 1431.51 121.478 1435.08 Q119.672 1438.62 119.672 1445.75 Q119.672 1452.86 121.478 1456.42 Q123.307 1459.96 126.918 1459.96 Q130.552 1459.96 132.357 1456.42 Q134.186 1452.86 134.186 1445.75 Q134.186 1438.62 132.357 1435.08 Q130.552 1431.51 126.918 1431.51 M126.918 1427.81 Q132.728 1427.81 135.783 1432.42 Q138.862 1437 138.862 1445.75 Q138.862 1454.48 135.783 1459.08 Q132.728 1463.67 126.918 1463.67 Q121.107 1463.67 118.029 1459.08 Q114.973 1454.48 114.973 1445.75 Q114.973 1437 118.029 1432.42 Q121.107 1427.81 126.918 1427.81 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip410)\" d=\"M 0 0 M65.5291 1092.08 Q61.918 1092.08 60.0893 1095.64 Q58.2838 1099.19 58.2838 1106.32 Q58.2838 1113.42 60.0893 1116.99 Q61.918 1120.53 65.5291 1120.53 Q69.1633 1120.53 70.9689 1116.99 Q72.7976 1113.42 72.7976 1106.32 Q72.7976 1099.19 70.9689 1095.64 Q69.1633 1092.08 65.5291 1092.08 M65.5291 1088.38 Q71.3392 1088.38 74.3948 1092.98 Q77.4735 1097.57 77.4735 1106.32 Q77.4735 1115.04 74.3948 1119.65 Q71.3392 1124.23 65.5291 1124.23 Q59.7189 1124.23 56.6402 1119.65 Q53.5847 1115.04 53.5847 1106.32 Q53.5847 1097.57 56.6402 1092.98 Q59.7189 1088.38 65.5291 1088.38 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip410)\" d=\"M 0 0 M82.5429 1117.68 L87.4271 1117.68 L87.4271 1123.56 L82.5429 1123.56 L82.5429 1117.68 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip410)\" d=\"M 0 0 M96.5243 1119.63 L112.844 1119.63 L112.844 1123.56 L90.8993 1123.56 L90.8993 1119.63 Q93.5613 1116.87 98.1447 1112.24 Q102.751 1107.59 103.932 1106.25 Q106.177 1103.72 107.057 1101.99 Q107.959 1100.23 107.959 1098.54 Q107.959 1095.78 106.015 1094.05 Q104.094 1092.31 100.992 1092.31 Q98.7928 1092.31 96.3391 1093.07 Q93.9086 1093.84 91.1308 1095.39 L91.1308 1090.67 Q93.9549 1089.53 96.4085 1088.95 Q98.8622 1088.38 100.899 1088.38 Q106.27 1088.38 109.464 1091.06 Q112.658 1093.75 112.658 1098.24 Q112.658 1100.37 111.848 1102.29 Q111.061 1104.19 108.955 1106.78 Q108.376 1107.45 105.274 1110.67 Q102.172 1113.86 96.5243 1119.63 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip410)\" d=\"M 0 0 M117.959 1089 L136.316 1089 L136.316 1092.94 L122.242 1092.94 L122.242 1101.41 Q123.26 1101.06 124.279 1100.9 Q125.297 1100.71 126.316 1100.71 Q132.103 1100.71 135.482 1103.89 Q138.862 1107.06 138.862 1112.47 Q138.862 1118.05 135.39 1121.15 Q131.918 1124.23 125.598 1124.23 Q123.422 1124.23 121.154 1123.86 Q118.908 1123.49 116.501 1122.75 L116.501 1118.05 Q118.584 1119.19 120.807 1119.74 Q123.029 1120.3 125.506 1120.3 Q129.51 1120.3 131.848 1118.19 Q134.186 1116.08 134.186 1112.47 Q134.186 1108.86 131.848 1106.76 Q129.51 1104.65 125.506 1104.65 Q123.631 1104.65 121.756 1105.07 Q119.904 1105.48 117.959 1106.36 L117.959 1089 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip410)\" d=\"M 0 0 M63.9319 752.645 Q60.3208 752.645 58.4921 756.209 Q56.6865 759.751 56.6865 766.881 Q56.6865 773.987 58.4921 777.552 Q60.3208 781.094 63.9319 781.094 Q67.5661 781.094 69.3717 777.552 Q71.2004 773.987 71.2004 766.881 Q71.2004 759.751 69.3717 756.209 Q67.5661 752.645 63.9319 752.645 M63.9319 748.941 Q69.742 748.941 72.7976 753.547 Q75.8763 758.131 75.8763 766.881 Q75.8763 775.608 72.7976 780.214 Q69.742 784.797 63.9319 784.797 Q58.1217 784.797 55.043 780.214 Q51.9875 775.608 51.9875 766.881 Q51.9875 758.131 55.043 753.547 Q58.1217 748.941 63.9319 748.941 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip410)\" d=\"M 0 0 M80.9457 778.246 L85.8299 778.246 L85.8299 784.126 L80.9457 784.126 L80.9457 778.246 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip410)\" d=\"M 0 0 M90.9456 749.566 L109.302 749.566 L109.302 753.501 L95.228 753.501 L95.228 761.973 Q96.2465 761.626 97.265 761.464 Q98.2835 761.279 99.3021 761.279 Q105.089 761.279 108.469 764.45 Q111.848 767.621 111.848 773.038 Q111.848 778.617 108.376 781.719 Q104.904 784.797 98.5845 784.797 Q96.4085 784.797 94.14 784.427 Q91.8947 784.057 89.4873 783.316 L89.4873 778.617 Q91.5706 779.751 93.7928 780.307 Q96.015 780.862 98.4919 780.862 Q102.496 780.862 104.834 778.756 Q107.172 776.649 107.172 773.038 Q107.172 769.427 104.834 767.321 Q102.496 765.214 98.4919 765.214 Q96.6169 765.214 94.7419 765.631 Q92.89 766.047 90.9456 766.927 L90.9456 749.566 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip410)\" d=\"M 0 0 M126.918 752.645 Q123.307 752.645 121.478 756.209 Q119.672 759.751 119.672 766.881 Q119.672 773.987 121.478 777.552 Q123.307 781.094 126.918 781.094 Q130.552 781.094 132.357 777.552 Q134.186 773.987 134.186 766.881 Q134.186 759.751 132.357 756.209 Q130.552 752.645 126.918 752.645 M126.918 748.941 Q132.728 748.941 135.783 753.547 Q138.862 758.131 138.862 766.881 Q138.862 775.608 135.783 780.214 Q132.728 784.797 126.918 784.797 Q121.107 784.797 118.029 780.214 Q114.973 775.608 114.973 766.881 Q114.973 758.131 118.029 753.547 Q121.107 748.941 126.918 748.941 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip410)\" d=\"M 0 0 M64.8346 413.21 Q61.2236 413.21 59.3949 416.775 Q57.5893 420.316 57.5893 427.446 Q57.5893 434.552 59.3949 438.117 Q61.2236 441.659 64.8346 441.659 Q68.4689 441.659 70.2744 438.117 Q72.1031 434.552 72.1031 427.446 Q72.1031 420.316 70.2744 416.775 Q68.4689 413.21 64.8346 413.21 M64.8346 409.506 Q70.6448 409.506 73.7003 414.113 Q76.779 418.696 76.779 427.446 Q76.779 436.173 73.7003 440.779 Q70.6448 445.362 64.8346 445.362 Q59.0245 445.362 55.9458 440.779 Q52.8903 436.173 52.8903 427.446 Q52.8903 418.696 55.9458 414.113 Q59.0245 409.506 64.8346 409.506 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip410)\" d=\"M 0 0 M81.8484 438.812 L86.7327 438.812 L86.7327 444.691 L81.8484 444.691 L81.8484 438.812 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip410)\" d=\"M 0 0 M90.6215 410.131 L112.844 410.131 L112.844 412.122 L100.297 444.691 L95.4132 444.691 L107.219 414.066 L90.6215 414.066 L90.6215 410.131 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip410)\" d=\"M 0 0 M117.959 410.131 L136.316 410.131 L136.316 414.066 L122.242 414.066 L122.242 422.538 Q123.26 422.191 124.279 422.029 Q125.297 421.844 126.316 421.844 Q132.103 421.844 135.482 425.015 Q138.862 428.187 138.862 433.603 Q138.862 439.182 135.39 442.284 Q131.918 445.362 125.598 445.362 Q123.422 445.362 121.154 444.992 Q118.908 444.622 116.501 443.881 L116.501 439.182 Q118.584 440.316 120.807 440.872 Q123.029 441.427 125.506 441.427 Q129.51 441.427 131.848 439.321 Q134.186 437.214 134.186 433.603 Q134.186 429.992 131.848 427.886 Q129.51 425.779 125.506 425.779 Q123.631 425.779 121.756 426.196 Q119.904 426.613 117.959 427.492 L117.959 410.131 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip410)\" d=\"M 0 0 M54.9736 101.321 L62.6124 101.321 L62.6124 74.9555 L54.3023 76.6222 L54.3023 72.3629 L62.5661 70.6963 L67.242 70.6963 L67.242 101.321 L74.8809 101.321 L74.8809 105.256 L54.9736 105.256 L54.9736 101.321 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip410)\" d=\"M 0 0 M79.9503 99.3767 L84.8345 99.3767 L84.8345 105.256 L79.9503 105.256 L79.9503 99.3767 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip410)\" d=\"M 0 0 M99.9039 73.775 Q96.2928 73.775 94.4641 77.3398 Q92.6586 80.8814 92.6586 88.011 Q92.6586 95.1174 94.4641 98.6822 Q96.2928 102.224 99.9039 102.224 Q103.538 102.224 105.344 98.6822 Q107.172 95.1174 107.172 88.011 Q107.172 80.8814 105.344 77.3398 Q103.538 73.775 99.9039 73.775 M99.9039 70.0713 Q105.714 70.0713 108.77 74.6777 Q111.848 79.261 111.848 88.011 Q111.848 96.7378 108.77 101.344 Q105.714 105.928 99.9039 105.928 Q94.0937 105.928 91.0151 101.344 Q87.9595 96.7378 87.9595 88.011 Q87.9595 79.261 91.0151 74.6777 Q94.0937 70.0713 99.9039 70.0713 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip410)\" d=\"M 0 0 M126.918 73.775 Q123.307 73.775 121.478 77.3398 Q119.672 80.8814 119.672 88.011 Q119.672 95.1174 121.478 98.6822 Q123.307 102.224 126.918 102.224 Q130.552 102.224 132.357 98.6822 Q134.186 95.1174 134.186 88.011 Q134.186 80.8814 132.357 77.3398 Q130.552 73.775 126.918 73.775 M126.918 70.0713 Q132.728 70.0713 135.783 74.6777 Q138.862 79.261 138.862 88.011 Q138.862 96.7378 135.783 101.344 Q132.728 105.928 126.918 105.928 Q121.107 105.928 118.029 101.344 Q114.973 96.7378 114.973 88.011 Q114.973 79.261 118.029 74.6777 Q121.107 70.0713 126.918 70.0713 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><polyline clip-path=\"url(#clip412)\" style=\"stroke:#009af9; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  236.501,87.9763 250.198,87.9763 263.895,87.9763 277.593,87.9763 291.29,87.9763 304.988,87.9763 318.685,87.9763 332.383,87.9763 346.08,87.9763 359.778,87.9763 \n",
       "  373.475,87.9763 387.172,87.9763 400.87,87.9763 414.567,87.9763 428.265,87.9763 441.962,402.708 455.66,424.541 469.357,446.051 483.055,467.239 496.752,488.109 \n",
       "  510.449,508.662 524.147,528.902 537.844,548.83 551.542,568.45 565.239,587.763 578.937,606.771 592.634,625.478 606.332,643.886 620.029,661.997 633.726,679.813 \n",
       "  647.424,697.338 661.121,714.572 674.819,731.52 688.516,748.182 702.214,764.563 715.911,780.663 729.609,796.485 743.306,812.033 757.003,827.307 770.701,842.312 \n",
       "  784.398,857.048 798.096,871.519 811.793,885.727 825.491,899.674 839.188,913.363 852.886,926.796 866.583,939.975 880.28,952.904 893.978,965.584 907.675,978.017 \n",
       "  921.373,990.207 935.07,1002.16 948.768,1013.87 962.465,1025.34 976.163,1036.58 989.86,1047.58 1003.56,1058.36 1017.25,1068.91 1030.95,1079.24 1044.65,1089.34 \n",
       "  1058.35,1099.23 1072.04,1108.9 1085.74,1118.35 1099.44,1127.59 1113.14,1136.62 1126.83,1145.44 1140.53,1154.06 1154.23,1162.47 1167.93,1170.69 1181.62,1178.71 \n",
       "  1195.32,1186.53 1209.02,1194.15 1222.72,1201.59 1236.41,1208.84 1250.11,1215.9 1263.81,1222.78 1277.51,1229.48 1291.2,1236 1304.9,1242.35 1318.6,1248.52 \n",
       "  1332.3,1254.51 1345.99,1260.34 1359.69,1266.01 1373.39,1271.51 1387.09,1276.84 1400.78,1282.02 1414.48,1287.04 1428.18,1291.91 1441.88,1296.62 1455.57,1301.19 \n",
       "  1469.27,1305.6 1482.97,1309.88 1496.67,1314.01 1510.36,1318 1524.06,1321.85 1537.76,1325.57 1551.46,1329.15 1565.15,1332.61 1578.85,1335.93 1592.55,1339.14 \n",
       "  1606.25,1342.21 1619.94,1345.17 1633.64,1348.01 1647.34,1350.73 1661.03,1353.34 1674.73,1355.84 1688.43,1358.23 1702.13,1360.52 1715.82,1362.7 1729.52,1364.77 \n",
       "  1743.22,1366.75 1756.92,1368.64 1770.61,1370.43 1784.31,1372.12 1798.01,1373.73 1811.71,1375.25 1825.4,1376.69 1839.1,1378.04 1852.8,1379.32 1866.5,1380.52 \n",
       "  1880.19,1381.64 1893.89,1382.69 1907.59,1383.67 1921.29,1384.58 1934.98,1385.43 1948.68,1386.21 1962.38,1386.94 1976.08,1387.61 1989.77,1388.22 2003.47,1388.77 \n",
       "  2017.17,1389.28 2030.87,1389.74 2044.56,1390.15 2058.26,1390.52 2071.96,1390.85 2085.66,1391.14 2099.35,1391.4 2113.05,1391.62 2126.75,1391.81 2140.45,1391.96 \n",
       "  2154.14,1392.1 2167.84,1392.21 2181.54,1392.29 2195.24,1392.36 2208.93,1392.41 2222.63,1392.45 2236.33,1392.47 2250.03,1392.49 2263.72,1392.5 2277.42,1392.5 \n",
       "  2291.12,1392.5 \n",
       "  \"/>\n",
       "</svg>\n"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "undersampling_rate, fully_sampled_radius = 0.3, 0.1\n",
    "pdf = generatePDF(floor(Int,imSize[1]/2) + 1, undersampling_rate, r = fully_sampled_radius, disp = true)\n",
    "plot(pdf, ylimits = [0,1], legend=false)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(90.6, 90.0)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sum(pdf)*2, undersampling_rate * imSize[1]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Generating sampling mask\n",
    "A Monte-Carlo algorithm to generate a sampling pattern with minimum peak interference. The number of samples will be sum(pdf) +- tol\n",
    "\n",
    "**Why do we use Monte-Carlo algorithm?**\n",
    " - Finding optimal sampling scheme is combinatorial problem → very difficult\n",
    " - Choosing samples random: incoherent and near-optimal solution\n",
    " - Monte-Carlo design procedure:\n",
    "   - Choose a grid size based on desired resolution and FOV of object\n",
    "   - Construct a probability density function (pdf) (e.g. using the \"power of the distance from origin\" rule)\n",
    "   - Draw indices from the grid according to the constructed pdf\n",
    "   - Repeat the previous step many times and pick a result with lower peak interference in TPSF (Transform Point Spread Function) to avoid samplings which are far from optimal\n",
    " - That sampling pattern can be re-used in future scans\n",
    "\n",
    "**Inputs:**\n",
    " - `pdf` - probability density function to choose samples from\n",
    " - `iter` - number of tries\n",
    " - `tol`  - the deviation from the desired number of samples in samples\n",
    " \n",
    "**Output:**\n",
    " - sampling pattern\n",
    " \n",
    "*Corresponding Matlab code:* `utils/genSampling.m`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "generate_mask (generic function with 1 method)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function generate_mask(pdf_2D, iter, tol; max_inner_iter = 100)\n",
    "    function generate_2D_mask(pdf)\n",
    "        mask = nothing\n",
    "        for i in 1:max_inner_iter\n",
    "            mask = [rand() < e for e in pdf]\n",
    "            diff = abs(sum(mask) - sum(pdf))\n",
    "            diff < tol*length(mask) && break\n",
    "            i == max_inner_iter && error(\"infeasible with given parameters\")\n",
    "        end\n",
    "        return mask\n",
    "    end\n",
    "    \n",
    "    function extend_to_3D(mask)\n",
    "        permutedims(repeat(mask, 1, 1, imSize[2]), [1,3,2])\n",
    "    end\n",
    "    \n",
    "    masks = [generate_2D_mask(pdf_2D) for i = 1:iter]\n",
    "    F⁻¹ₘₐₛₖₛ = [ifft(mask./pdf_2D) for mask in masks]                    # Inverse Fourier transform\n",
    "    TPSFₘₐₓ = [maximum(abs.(F⁻¹ₘₐₛₖ[2:end])) for F⁻¹ₘₐₛₖ in F⁻¹ₘₐₛₖₛ] # height of larges sidelobe\n",
    "    \n",
    "    top_list = sort(TPSFₘₐₓ)[1:imSize[4]]\n",
    "    selected_masks = [findfirst(isequal(elem), TPSFₘₐₓ) for elem in top_list]\n",
    "    cat([extend_to_3D(masks[i]) for i in selected_masks]..., dims = 4) .== 1\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n",
       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n",
       "<defs>\n",
       "  <clipPath id=\"clip450\">\n",
       "    <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<path clip-path=\"url(#clip450)\" d=\"\n",
       "M0 1600 L2400 1600 L2400 0 L0 0  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<defs>\n",
       "  <clipPath id=\"clip451\">\n",
       "    <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<path clip-path=\"url(#clip450)\" d=\"\n",
       "M773.823 1486.45 L1741.9 1486.45 L1741.9 47.2441 L773.823 47.2441  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<defs>\n",
       "  <clipPath id=\"clip452\">\n",
       "    <rect x=\"773\" y=\"47\" width=\"969\" height=\"1440\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<polyline clip-path=\"url(#clip452)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  896.446,47.2441 896.446,1486.45 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip452)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1025.52,47.2441 1025.52,1486.45 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip452)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1154.6,47.2441 1154.6,1486.45 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip452)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1283.68,47.2441 1283.68,1486.45 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip452)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1412.75,47.2441 1412.75,1486.45 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip452)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1541.83,47.2441 1541.83,1486.45 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip452)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1670.9,47.2441 1670.9,1486.45 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip450)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  773.823,1486.45 1741.9,1486.45 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip450)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  896.446,1486.45 896.446,1469.18 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip450)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1025.52,1486.45 1025.52,1469.18 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip450)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1154.6,1486.45 1154.6,1469.18 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip450)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1283.68,1486.45 1283.68,1469.18 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip450)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1412.75,1486.45 1412.75,1469.18 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip450)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1541.83,1486.45 1541.83,1469.18 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip450)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1670.9,1486.45 1670.9,1469.18 \n",
       "  \"/>\n",
       "<path clip-path=\"url(#clip450)\" d=\"M 0 0 M877.591 1543.18 L893.911 1543.18 L893.911 1547.12 L871.966 1547.12 L871.966 1543.18 Q874.629 1540.43 879.212 1535.8 Q883.818 1531.15 884.999 1529.81 Q887.244 1527.28 888.124 1525.55 Q889.027 1523.79 889.027 1522.1 Q889.027 1519.34 887.082 1517.61 Q885.161 1515.87 882.059 1515.87 Q879.86 1515.87 877.406 1516.63 Q874.976 1517.4 872.198 1518.95 L872.198 1514.23 Q875.022 1513.09 877.476 1512.51 Q879.929 1511.93 881.966 1511.93 Q887.337 1511.93 890.531 1514.62 Q893.726 1517.31 893.726 1521.8 Q893.726 1523.93 892.915 1525.85 Q892.128 1527.74 890.022 1530.34 Q889.443 1531.01 886.341 1534.23 Q883.24 1537.42 877.591 1543.18 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip450)\" d=\"M 0 0 M908.98 1515.64 Q905.369 1515.64 903.54 1519.2 Q901.735 1522.75 901.735 1529.87 Q901.735 1536.98 903.54 1540.55 Q905.369 1544.09 908.98 1544.09 Q912.614 1544.09 914.42 1540.55 Q916.249 1536.98 916.249 1529.87 Q916.249 1522.75 914.42 1519.2 Q912.614 1515.64 908.98 1515.64 M908.98 1511.93 Q914.79 1511.93 917.846 1516.54 Q920.925 1521.12 920.925 1529.87 Q920.925 1538.6 917.846 1543.21 Q914.79 1547.79 908.98 1547.79 Q903.17 1547.79 900.091 1543.21 Q897.036 1538.6 897.036 1529.87 Q897.036 1521.12 900.091 1516.54 Q903.17 1511.93 908.98 1511.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip450)\" d=\"M 0 0 M1015.02 1516.63 L1003.22 1535.08 L1015.02 1535.08 L1015.02 1516.63 M1013.8 1512.56 L1019.68 1512.56 L1019.68 1535.08 L1024.61 1535.08 L1024.61 1538.97 L1019.68 1538.97 L1019.68 1547.12 L1015.02 1547.12 L1015.02 1538.97 L999.423 1538.97 L999.423 1534.46 L1013.8 1512.56 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip450)\" d=\"M 0 0 M1039.68 1515.64 Q1036.07 1515.64 1034.24 1519.2 Q1032.43 1522.75 1032.43 1529.87 Q1032.43 1536.98 1034.24 1540.55 Q1036.07 1544.09 1039.68 1544.09 Q1043.31 1544.09 1045.12 1540.55 Q1046.95 1536.98 1046.95 1529.87 Q1046.95 1522.75 1045.12 1519.2 Q1043.31 1515.64 1039.68 1515.64 M1039.68 1511.93 Q1045.49 1511.93 1048.54 1516.54 Q1051.62 1521.12 1051.62 1529.87 Q1051.62 1538.6 1048.54 1543.21 Q1045.49 1547.79 1039.68 1547.79 Q1033.87 1547.79 1030.79 1543.21 Q1027.73 1538.6 1027.73 1529.87 Q1027.73 1521.12 1030.79 1516.54 Q1033.87 1511.93 1039.68 1511.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip450)\" d=\"M 0 0 M1141.5 1527.98 Q1138.35 1527.98 1136.5 1530.13 Q1134.67 1532.28 1134.67 1536.03 Q1134.67 1539.76 1136.5 1541.93 Q1138.35 1544.09 1141.5 1544.09 Q1144.65 1544.09 1146.47 1541.93 Q1148.33 1539.76 1148.33 1536.03 Q1148.33 1532.28 1146.47 1530.13 Q1144.65 1527.98 1141.5 1527.98 M1150.78 1513.32 L1150.78 1517.58 Q1149.02 1516.75 1147.21 1516.31 Q1145.43 1515.87 1143.67 1515.87 Q1139.04 1515.87 1136.59 1519 Q1134.16 1522.12 1133.81 1528.44 Q1135.18 1526.43 1137.24 1525.36 Q1139.3 1524.27 1141.77 1524.27 Q1146.98 1524.27 1149.99 1527.44 Q1153.02 1530.59 1153.02 1536.03 Q1153.02 1541.36 1149.88 1544.57 Q1146.73 1547.79 1141.5 1547.79 Q1135.5 1547.79 1132.33 1543.21 Q1129.16 1538.6 1129.16 1529.87 Q1129.16 1521.68 1133.05 1516.82 Q1136.94 1511.93 1143.49 1511.93 Q1145.25 1511.93 1147.03 1512.28 Q1148.83 1512.63 1150.78 1513.32 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip450)\" d=\"M 0 0 M1168.09 1515.64 Q1164.48 1515.64 1162.65 1519.2 Q1160.85 1522.75 1160.85 1529.87 Q1160.85 1536.98 1162.65 1540.55 Q1164.48 1544.09 1168.09 1544.09 Q1171.73 1544.09 1173.53 1540.55 Q1175.36 1536.98 1175.36 1529.87 Q1175.36 1522.75 1173.53 1519.2 Q1171.73 1515.64 1168.09 1515.64 M1168.09 1511.93 Q1173.9 1511.93 1176.96 1516.54 Q1180.04 1521.12 1180.04 1529.87 Q1180.04 1538.6 1176.96 1543.21 Q1173.9 1547.79 1168.09 1547.79 Q1162.28 1547.79 1159.21 1543.21 Q1156.15 1538.6 1156.15 1529.87 Q1156.15 1521.12 1159.21 1516.54 Q1162.28 1511.93 1168.09 1511.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip450)\" d=\"M 0 0 M1270.17 1530.71 Q1266.84 1530.71 1264.91 1532.49 Q1263.02 1534.27 1263.02 1537.4 Q1263.02 1540.52 1264.91 1542.31 Q1266.84 1544.09 1270.17 1544.09 Q1273.5 1544.09 1275.42 1542.31 Q1277.34 1540.5 1277.34 1537.4 Q1277.34 1534.27 1275.42 1532.49 Q1273.52 1530.71 1270.17 1530.71 M1265.49 1528.72 Q1262.48 1527.98 1260.79 1525.92 Q1259.13 1523.86 1259.13 1520.89 Q1259.13 1516.75 1262.07 1514.34 Q1265.03 1511.93 1270.17 1511.93 Q1275.33 1511.93 1278.27 1514.34 Q1281.21 1516.75 1281.21 1520.89 Q1281.21 1523.86 1279.52 1525.92 Q1277.85 1527.98 1274.87 1528.72 Q1278.25 1529.5 1280.12 1531.8 Q1282.02 1534.09 1282.02 1537.4 Q1282.02 1542.42 1278.94 1545.11 Q1275.89 1547.79 1270.17 1547.79 Q1264.45 1547.79 1261.37 1545.11 Q1258.32 1542.42 1258.32 1537.4 Q1258.32 1534.09 1260.21 1531.8 Q1262.11 1529.5 1265.49 1528.72 M1263.78 1521.33 Q1263.78 1524.02 1265.45 1525.52 Q1267.14 1527.03 1270.17 1527.03 Q1273.18 1527.03 1274.87 1525.52 Q1276.58 1524.02 1276.58 1521.33 Q1276.58 1518.65 1274.87 1517.14 Q1273.18 1515.64 1270.17 1515.64 Q1267.14 1515.64 1265.45 1517.14 Q1263.78 1518.65 1263.78 1521.33 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip450)\" d=\"M 0 0 M1297.09 1515.64 Q1293.48 1515.64 1291.65 1519.2 Q1289.84 1522.75 1289.84 1529.87 Q1289.84 1536.98 1291.65 1540.55 Q1293.48 1544.09 1297.09 1544.09 Q1300.72 1544.09 1302.53 1540.55 Q1304.36 1536.98 1304.36 1529.87 Q1304.36 1522.75 1302.53 1519.2 Q1300.72 1515.64 1297.09 1515.64 M1297.09 1511.93 Q1302.9 1511.93 1305.96 1516.54 Q1309.03 1521.12 1309.03 1529.87 Q1309.03 1538.6 1305.96 1543.21 Q1302.9 1547.79 1297.09 1547.79 Q1291.28 1547.79 1288.2 1543.21 Q1285.15 1538.6 1285.15 1529.87 Q1285.15 1521.12 1288.2 1516.54 Q1291.28 1511.93 1297.09 1511.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip450)\" d=\"M 0 0 M1376.12 1543.18 L1383.76 1543.18 L1383.76 1516.82 L1375.45 1518.49 L1375.45 1514.23 L1383.71 1512.56 L1388.39 1512.56 L1388.39 1543.18 L1396.03 1543.18 L1396.03 1547.12 L1376.12 1547.12 L1376.12 1543.18 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip450)\" d=\"M 0 0 M1411.1 1515.64 Q1407.49 1515.64 1405.66 1519.2 Q1403.85 1522.75 1403.85 1529.87 Q1403.85 1536.98 1405.66 1540.55 Q1407.49 1544.09 1411.1 1544.09 Q1414.73 1544.09 1416.54 1540.55 Q1418.37 1536.98 1418.37 1529.87 Q1418.37 1522.75 1416.54 1519.2 Q1414.73 1515.64 1411.1 1515.64 M1411.1 1511.93 Q1416.91 1511.93 1419.96 1516.54 Q1423.04 1521.12 1423.04 1529.87 Q1423.04 1538.6 1419.96 1543.21 Q1416.91 1547.79 1411.1 1547.79 Q1405.29 1547.79 1402.21 1543.21 Q1399.15 1538.6 1399.15 1529.87 Q1399.15 1521.12 1402.21 1516.54 Q1405.29 1511.93 1411.1 1511.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip450)\" d=\"M 0 0 M1438.11 1515.64 Q1434.5 1515.64 1432.67 1519.2 Q1430.87 1522.75 1430.87 1529.87 Q1430.87 1536.98 1432.67 1540.55 Q1434.5 1544.09 1438.11 1544.09 Q1441.74 1544.09 1443.55 1540.55 Q1445.38 1536.98 1445.38 1529.87 Q1445.38 1522.75 1443.55 1519.2 Q1441.74 1515.64 1438.11 1515.64 M1438.11 1511.93 Q1443.92 1511.93 1446.98 1516.54 Q1450.05 1521.12 1450.05 1529.87 Q1450.05 1538.6 1446.98 1543.21 Q1443.92 1547.79 1438.11 1547.79 Q1432.3 1547.79 1429.22 1543.21 Q1426.17 1538.6 1426.17 1529.87 Q1426.17 1521.12 1429.22 1516.54 Q1432.3 1511.93 1438.11 1511.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip450)\" d=\"M 0 0 M1506 1543.18 L1513.63 1543.18 L1513.63 1516.82 L1505.32 1518.49 L1505.32 1514.23 L1513.59 1512.56 L1518.26 1512.56 L1518.26 1543.18 L1525.9 1543.18 L1525.9 1547.12 L1506 1547.12 L1506 1543.18 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip450)\" d=\"M 0 0 M1535 1543.18 L1551.32 1543.18 L1551.32 1547.12 L1529.37 1547.12 L1529.37 1543.18 Q1532.04 1540.43 1536.62 1535.8 Q1541.23 1531.15 1542.41 1529.81 Q1544.65 1527.28 1545.53 1525.55 Q1546.43 1523.79 1546.43 1522.1 Q1546.43 1519.34 1544.49 1517.61 Q1542.57 1515.87 1539.47 1515.87 Q1537.27 1515.87 1534.81 1516.63 Q1532.38 1517.4 1529.61 1518.95 L1529.61 1514.23 Q1532.43 1513.09 1534.88 1512.51 Q1537.34 1511.93 1539.37 1511.93 Q1544.75 1511.93 1547.94 1514.62 Q1551.13 1517.31 1551.13 1521.8 Q1551.13 1523.93 1550.32 1525.85 Q1549.54 1527.74 1547.43 1530.34 Q1546.85 1531.01 1543.75 1534.23 Q1540.65 1537.42 1535 1543.18 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip450)\" d=\"M 0 0 M1566.39 1515.64 Q1562.78 1515.64 1560.95 1519.2 Q1559.14 1522.75 1559.14 1529.87 Q1559.14 1536.98 1560.95 1540.55 Q1562.78 1544.09 1566.39 1544.09 Q1570.02 1544.09 1571.83 1540.55 Q1573.66 1536.98 1573.66 1529.87 Q1573.66 1522.75 1571.83 1519.2 Q1570.02 1515.64 1566.39 1515.64 M1566.39 1511.93 Q1572.2 1511.93 1575.25 1516.54 Q1578.33 1521.12 1578.33 1529.87 Q1578.33 1538.6 1575.25 1543.21 Q1572.2 1547.79 1566.39 1547.79 Q1560.58 1547.79 1557.5 1543.21 Q1554.44 1538.6 1554.44 1529.87 Q1554.44 1521.12 1557.5 1516.54 Q1560.58 1511.93 1566.39 1511.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip450)\" d=\"M 0 0 M1634.03 1543.18 L1641.67 1543.18 L1641.67 1516.82 L1633.36 1518.49 L1633.36 1514.23 L1641.62 1512.56 L1646.3 1512.56 L1646.3 1543.18 L1653.94 1543.18 L1653.94 1547.12 L1634.03 1547.12 L1634.03 1543.18 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip450)\" d=\"M 0 0 M1671.85 1516.63 L1660.05 1535.08 L1671.85 1535.08 L1671.85 1516.63 M1670.63 1512.56 L1676.51 1512.56 L1676.51 1535.08 L1681.44 1535.08 L1681.44 1538.97 L1676.51 1538.97 L1676.51 1547.12 L1671.85 1547.12 L1671.85 1538.97 L1656.25 1538.97 L1656.25 1534.46 L1670.63 1512.56 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip450)\" d=\"M 0 0 M1696.51 1515.64 Q1692.9 1515.64 1691.07 1519.2 Q1689.26 1522.75 1689.26 1529.87 Q1689.26 1536.98 1691.07 1540.55 Q1692.9 1544.09 1696.51 1544.09 Q1700.14 1544.09 1701.95 1540.55 Q1703.78 1536.98 1703.78 1529.87 Q1703.78 1522.75 1701.95 1519.2 Q1700.14 1515.64 1696.51 1515.64 M1696.51 1511.93 Q1702.32 1511.93 1705.37 1516.54 Q1708.45 1521.12 1708.45 1529.87 Q1708.45 1538.6 1705.37 1543.21 Q1702.32 1547.79 1696.51 1547.79 Q1690.7 1547.79 1687.62 1543.21 Q1684.56 1538.6 1684.56 1529.87 Q1684.56 1521.12 1687.62 1516.54 Q1690.7 1511.93 1696.51 1511.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><polyline clip-path=\"url(#clip452)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  773.823,363.482 1741.9,363.482 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip452)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  773.823,686.173 1741.9,686.173 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip452)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  773.823,1008.86 1741.9,1008.86 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip452)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  773.823,1331.56 1741.9,1331.56 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip450)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  773.823,47.2441 773.823,1486.45 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip450)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  773.823,363.482 785.44,363.482 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip450)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  773.823,686.173 785.44,686.173 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip450)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  773.823,1008.86 785.44,1008.86 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip450)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  773.823,1331.56 785.44,1331.56 \n",
       "  \"/>\n",
       "<path clip-path=\"url(#clip450)\" d=\"M 0 0 M689.906 346.202 L708.263 346.202 L708.263 350.137 L694.189 350.137 L694.189 358.609 Q695.207 358.262 696.226 358.1 Q697.244 357.915 698.263 357.915 Q704.05 357.915 707.429 361.086 Q710.809 364.257 710.809 369.674 Q710.809 375.252 707.337 378.354 Q703.865 381.433 697.545 381.433 Q695.369 381.433 693.101 381.063 Q690.855 380.692 688.448 379.952 L688.448 375.252 Q690.531 376.387 692.754 376.942 Q694.976 377.498 697.453 377.498 Q701.457 377.498 703.795 375.391 Q706.133 373.285 706.133 369.674 Q706.133 366.063 703.795 363.956 Q701.457 361.85 697.453 361.85 Q695.578 361.85 693.703 362.266 Q691.851 362.683 689.906 363.563 L689.906 346.202 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip450)\" d=\"M 0 0 M725.878 349.28 Q722.267 349.28 720.439 352.845 Q718.633 356.387 718.633 363.516 Q718.633 370.623 720.439 374.188 Q722.267 377.729 725.878 377.729 Q729.513 377.729 731.318 374.188 Q733.147 370.623 733.147 363.516 Q733.147 356.387 731.318 352.845 Q729.513 349.28 725.878 349.28 M725.878 345.577 Q731.689 345.577 734.744 350.183 Q737.823 354.766 737.823 363.516 Q737.823 372.243 734.744 376.85 Q731.689 381.433 725.878 381.433 Q720.068 381.433 716.99 376.85 Q713.934 372.243 713.934 363.516 Q713.934 354.766 716.99 350.183 Q720.068 345.577 725.878 345.577 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip450)\" d=\"M 0 0 M663.888 699.518 L671.527 699.518 L671.527 673.152 L663.217 674.819 L663.217 670.56 L671.481 668.893 L676.156 668.893 L676.156 699.518 L683.795 699.518 L683.795 703.453 L663.888 703.453 L663.888 699.518 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip450)\" d=\"M 0 0 M698.865 671.972 Q695.254 671.972 693.425 675.537 Q691.619 679.078 691.619 686.208 Q691.619 693.314 693.425 696.879 Q695.254 700.421 698.865 700.421 Q702.499 700.421 704.304 696.879 Q706.133 693.314 706.133 686.208 Q706.133 679.078 704.304 675.537 Q702.499 671.972 698.865 671.972 M698.865 668.268 Q704.675 668.268 707.73 672.875 Q710.809 677.458 710.809 686.208 Q710.809 694.935 707.73 699.541 Q704.675 704.124 698.865 704.124 Q693.054 704.124 689.976 699.541 Q686.92 694.935 686.92 686.208 Q686.92 677.458 689.976 672.875 Q693.054 668.268 698.865 668.268 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip450)\" d=\"M 0 0 M725.878 671.972 Q722.267 671.972 720.439 675.537 Q718.633 679.078 718.633 686.208 Q718.633 693.314 720.439 696.879 Q722.267 700.421 725.878 700.421 Q729.513 700.421 731.318 696.879 Q733.147 693.314 733.147 686.208 Q733.147 679.078 731.318 675.537 Q729.513 671.972 725.878 671.972 M725.878 668.268 Q731.689 668.268 734.744 672.875 Q737.823 677.458 737.823 686.208 Q737.823 694.935 734.744 699.541 Q731.689 704.124 725.878 704.124 Q720.068 704.124 716.99 699.541 Q713.934 694.935 713.934 686.208 Q713.934 677.458 716.99 672.875 Q720.068 668.268 725.878 668.268 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip450)\" d=\"M 0 0 M664.883 1022.21 L672.522 1022.21 L672.522 995.844 L664.212 997.51 L664.212 993.251 L672.476 991.585 L677.152 991.585 L677.152 1022.21 L684.791 1022.21 L684.791 1026.14 L664.883 1026.14 L664.883 1022.21 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip450)\" d=\"M 0 0 M689.906 991.585 L708.263 991.585 L708.263 995.52 L694.189 995.52 L694.189 1003.99 Q695.207 1003.64 696.226 1003.48 Q697.244 1003.3 698.263 1003.3 Q704.05 1003.3 707.429 1006.47 Q710.809 1009.64 710.809 1015.06 Q710.809 1020.64 707.337 1023.74 Q703.865 1026.82 697.545 1026.82 Q695.369 1026.82 693.101 1026.45 Q690.855 1026.08 688.448 1025.33 L688.448 1020.64 Q690.531 1021.77 692.754 1022.33 Q694.976 1022.88 697.453 1022.88 Q701.457 1022.88 703.795 1020.77 Q706.133 1018.67 706.133 1015.06 Q706.133 1011.45 703.795 1009.34 Q701.457 1007.23 697.453 1007.23 Q695.578 1007.23 693.703 1007.65 Q691.851 1008.07 689.906 1008.95 L689.906 991.585 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip450)\" d=\"M 0 0 M725.878 994.663 Q722.267 994.663 720.439 998.228 Q718.633 1001.77 718.633 1008.9 Q718.633 1016.01 720.439 1019.57 Q722.267 1023.11 725.878 1023.11 Q729.513 1023.11 731.318 1019.57 Q733.147 1016.01 733.147 1008.9 Q733.147 1001.77 731.318 998.228 Q729.513 994.663 725.878 994.663 M725.878 990.96 Q731.689 990.96 734.744 995.566 Q737.823 1000.15 737.823 1008.9 Q737.823 1017.63 734.744 1022.23 Q731.689 1026.82 725.878 1026.82 Q720.068 1026.82 716.99 1022.23 Q713.934 1017.63 713.934 1008.9 Q713.934 1000.15 716.99 995.566 Q720.068 990.96 725.878 990.96 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip450)\" d=\"M 0 0 M667.476 1344.9 L683.795 1344.9 L683.795 1348.84 L661.851 1348.84 L661.851 1344.9 Q664.513 1342.15 669.096 1337.52 Q673.703 1332.86 674.883 1331.52 Q677.129 1329 678.008 1327.26 Q678.911 1325.5 678.911 1323.81 Q678.911 1321.06 676.967 1319.32 Q675.045 1317.59 671.944 1317.59 Q669.744 1317.59 667.291 1318.35 Q664.86 1319.11 662.082 1320.66 L662.082 1315.94 Q664.907 1314.81 667.36 1314.23 Q669.814 1313.65 671.851 1313.65 Q677.221 1313.65 680.416 1316.34 Q683.61 1319.02 683.61 1323.51 Q683.61 1325.64 682.8 1327.56 Q682.013 1329.46 679.906 1332.05 Q679.328 1332.72 676.226 1335.94 Q673.124 1339.14 667.476 1344.9 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip450)\" d=\"M 0 0 M698.865 1317.35 Q695.254 1317.35 693.425 1320.92 Q691.619 1324.46 691.619 1331.59 Q691.619 1338.7 693.425 1342.26 Q695.254 1345.8 698.865 1345.8 Q702.499 1345.8 704.304 1342.26 Q706.133 1338.7 706.133 1331.59 Q706.133 1324.46 704.304 1320.92 Q702.499 1317.35 698.865 1317.35 M698.865 1313.65 Q704.675 1313.65 707.73 1318.26 Q710.809 1322.84 710.809 1331.59 Q710.809 1340.32 707.73 1344.92 Q704.675 1349.51 698.865 1349.51 Q693.054 1349.51 689.976 1344.92 Q686.92 1340.32 686.92 1331.59 Q686.92 1322.84 689.976 1318.26 Q693.054 1313.65 698.865 1313.65 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip450)\" d=\"M 0 0 M725.878 1317.35 Q722.267 1317.35 720.439 1320.92 Q718.633 1324.46 718.633 1331.59 Q718.633 1338.7 720.439 1342.26 Q722.267 1345.8 725.878 1345.8 Q729.513 1345.8 731.318 1342.26 Q733.147 1338.7 733.147 1331.59 Q733.147 1324.46 731.318 1320.92 Q729.513 1317.35 725.878 1317.35 M725.878 1313.65 Q731.689 1313.65 734.744 1318.26 Q737.823 1322.84 737.823 1331.59 Q737.823 1340.32 734.744 1344.92 Q731.689 1349.51 725.878 1349.51 Q720.068 1349.51 716.99 1344.92 Q713.934 1340.32 713.934 1331.59 Q713.934 1322.84 716.99 1318.26 Q720.068 1313.65 725.878 1313.65 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><g clip-path=\"url(#clip452)\">\n",
       "<image width=\"975\" height=\"1446\" xlink:href=\"data:image/png;base64,\n",
       "iVBORw0KGgoAAAANSUhEUgAAA88AAAWmCAYAAAC2oJJrAAAgAElEQVR4nOzXQQ6CMBQAUfH+d8aV\n",
       "uzYTSQMG3lu6kN9+jJlt3/f9xa1s2zb8/OiqV37f6tmuNDvL169nOuOeyxl7ODrbzMqZV882c+ZO\n",
       "GZvt4Mp7rvfCO/Cb1f95R571pJ2N7uBJ52fMb4O7eV89AAAAAPw78QwAAABBPAMAAEAQzwAAABDE\n",
       "MwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABB\n",
       "PAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQ\n",
       "xDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAA\n",
       "QTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAA\n",
       "EMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAA\n",
       "AEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAA\n",
       "ABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwA\n",
       "AABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8A\n",
       "AAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEM\n",
       "AAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDP\n",
       "AAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATx\n",
       "DAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQ\n",
       "zwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE\n",
       "8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABA\n",
       "EM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAA\n",
       "BPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAA\n",
       "QBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAA\n",
       "AATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMA\n",
       "AEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMA\n",
       "AAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwD\n",
       "AABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQz\n",
       "AAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8\n",
       "AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDE\n",
       "MwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABB\n",
       "PAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQ\n",
       "xDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAA\n",
       "QTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAA\n",
       "EMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAA\n",
       "AEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAA\n",
       "ABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwA\n",
       "AABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8A\n",
       "AAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEM\n",
       "AAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDP\n",
       "AAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATx\n",
       "DAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQ\n",
       "zwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE\n",
       "8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABA\n",
       "EM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAA\n",
       "BPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAA\n",
       "QBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAA\n",
       "AATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMA\n",
       "AEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMA\n",
       "AAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwD\n",
       "AABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQz\n",
       "AAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8\n",
       "AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDE\n",
       "MwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABB\n",
       "PAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQ\n",
       "xDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAA\n",
       "QTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAA\n",
       "EMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAA\n",
       "AEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAA\n",
       "ABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwA\n",
       "AABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8A\n",
       "AAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEM\n",
       "AAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDP\n",
       "AAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATx\n",
       "DAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQ\n",
       "zwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE\n",
       "8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABA\n",
       "EM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAA\n",
       "BPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAA\n",
       "QBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAA\n",
       "AATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMA\n",
       "AEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMA\n",
       "AAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwD\n",
       "AABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQz\n",
       "AAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8\n",
       "AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDE\n",
       "MwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABB\n",
       "PAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQ\n",
       "xDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAA\n",
       "QTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAA\n",
       "EMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAA\n",
       "AEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAA\n",
       "ABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwA\n",
       "AABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8A\n",
       "AAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEM\n",
       "AAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDP\n",
       "AAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATx\n",
       "DAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQ\n",
       "zwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE\n",
       "8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABA\n",
       "EM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAA\n",
       "BPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAA\n",
       "QBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAA\n",
       "AATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMA\n",
       "AEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMA\n",
       "AAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwD\n",
       "AABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQz\n",
       "AAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8\n",
       "AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDE\n",
       "MwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABB\n",
       "PAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQ\n",
       "xDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAA\n",
       "QTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAA\n",
       "EMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAA\n",
       "AEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAA\n",
       "ABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8QwA\n",
       "AABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEMAAAAQTwDAABAEM8A\n",
       "AAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDPAAAAEMQzAAAABPEM\n",
       "AAAAQTwDAABAEM8AAAAQxDMAAAAE8QwAAABBPAMAAEAQzwAAABDEMwAAAATxDAAAAEE8AwAAQBDP\n",
       "AAAAEMQzAAAABPEMAAAAQTwDAABAEM8AAAAQxDMAAAAE8fxpvw4EAAAAAAT5W4+wQFkEAAAAQ54B\n",
       "AABgyDMAAAAMeQYAAIAhzwAAADDkGQAAAIY8AwAAwJBnAAAAGPIMAAAAQ54BAABgyDMAAAAMeQYA\n",
       "AIAhzwAAADDkGQAAAIY8AwAAwJBnAAAAGPIMAAAAQ54BAABgyDMAAAAMeQYAAIAhzwAAADDkGQAA\n",
       "AIY8AwAAwJBnAAAAGPIMAAAAQ54BAABgyDMAAAAMeQYAAIAhzwAAADDkGQAAAIY8AwAAwJBnAAAA\n",
       "GPIMAAAAQ54BAABgyDMAAAAMeQYAAIAhzwAAADDkGQAAAIY8AwAAwJBnAAAAGPIMAAAAQ54BAABg\n",
       "yDMAAAAMeQYAAIAhzwAAADDkGQAAAIY8AwAAwJBnAAAAGPIMAAAAQ54BAABgyDMAAAAMeQYAAIAh\n",
       "zwAAADDkGQAAAIY8AwAAwJBnAAAAGPIMAAAAQ54BAABgyDMAAAAMeQYAAIAhzwAAADDkGQAAAIY8\n",
       "AwAAwJBnAAAAGPIMAAAAQ54BAABgyDMAAAAMeQYAAIAhzwAAADDkGQAAAIY8AwAAwJBnAAAAGPIM\n",
       "AAAAQ54BAABgyDMAAAAMeQYAAIAhzwAAADDkGQAAAIY8AwAAwJBnAAAAGPIMAAAAQ54BAABgyDMA\n",
       "AAAMeQYAAIAhzwAAADDkGQAAAIY8AwAAwJBnAAAAGPIMAAAAQ54BAABgyDMAAAAMeQYAAIAhzwAA\n",
       "ADDkGQAAAIY8AwAAwJBnAAAAGPIMAAAAQ54BAABgyDMAAAAMeQYAAIAhzwAAADDkGQAAAIY8AwAA\n",
       "wJBnAAAAGPIMAAAAQ54BAABgyDMAAAAMeQYAAIAhzwAAADDkGQAAAIY8AwAAwJBnAAAAGPIMAAAA\n",
       "Q54BAABgyDMAAAAMeQYAAIAhzwAAADDkGQAAAIY8AwAAwJBnAAAAGPIMAAAAQ54BAABgyDMAAAAM\n",
       "eQYAAIAhzwAAADDkGQAAAIY8AwAAwJBnAAAAGPIMAAAAQ54BAABgyDMAAAAMeQYAAIAhzwAAADDk\n",
       "GQAAAIY8AwAAwJBnAAAAGPIMAAAAQ54BAABgyDMAAAAMeQYAAIAhzwAAADDkGQAAAIY8AwAAwJBn\n",
       "AAAAGPIMAAAAQ54BAABgyDMAAAAMeQYAAIAhzwAAADDkGQAAAIY8AwAAwJBnAAAAGPIMAAAAQ54B\n",
       "AABgyDMAAAAMeQYAAIAhzwAAADDkGQAAAIY8AwAAwJBnAAAAGPIMAAAAQ54BAABgyDMAAAAMeQYA\n",
       "AIAhzwAAADDkGQAAAIY8AwAAwJBnAAAAGPIMAAAAQ54BAABgyDMAAAAMeQYAAIAhzwAAADDkGQAA\n",
       "AIY8AwAAwJBnAAAAGPIMAAAAQ54BAABgyDMAAAAMeQYAAIAhzwAAADDkGQAAAIY8AwAAwJBnAAAA\n",
       "GPIMAAAAQ54BAABgyDMAAAAMeQYAAIAhzwAAADDkGQAAAIY8AwAAwJBnAAAAGPIMAAAAQ54BAABg\n",
       "yDMAAAAMeQYAAIAhzwAAADDkGQAAAIY8AwAAwJBnAAAAGPIMAAAAQ54BAABgyDMAAAAMeQYAAIAh\n",
       "zwAAADDkGQAAAIY8AwAAwJBnAAAAGPIMAAAAQ54BAABgyDMAAAAMeQYAAIAhzwAAADDkGQAAAIY8\n",
       "AwAAwJBnAAAAGPIMAAAAQ54BAABgyDMAAAAMeQYAAIAhzwAAADDkGQAAAIY8AwAAwJBnAAAAGPIM\n",
       "AAAAQ54BAABgyDMAAAAMeQYAAIAhzwAAADDkGQAAAIY8AwAAwJBnAAAAGPIMAAAAQ54BAABgyDMA\n",
       "AAAMeQYAAIAhzwAAADDkGQAAAIY8AwAAwJBnAAAAGPIMAAAAQ54BAABgyDMAAAAMeQYAAIAhzwAA\n",
       "ADDkGQAAAIY8AwAAwJBnAAAAGPIMAAAAQ54BAABgyDMAAAAMeQYAAIAhzwAAADDkGQAAAIY8AwAA\n",
       "wJBnAAAAGPIMAAAAQ54BAABgyDMAAAAMeQYAAIAhzwAAADDkGQAAAIY8AwAAwJBnAAAAGPIMAAAA\n",
       "Q54BAABgyDMAAAAMeQYAAIAhzwAAADDkGQAAAIY8AwAAwJBnAAAAGPIMAAAAQ54BAABgyDMAAAAM\n",
       "eQYAAIAhzwAAADDkGQAAAIY8AwAAwJBnAAAAGPIMAAAAQ54BAABgyDMAAAAMeQYAAIAhzwAAADDk\n",
       "GQAAAIY8AwAAwJBnAAAAGPIMAAAAQ54BAABgyDMAAAAMeQYAAIAhzwAAADDkGQAAAIY8AwAAwJBn\n",
       "AAAAGPIMAAAAQ54BAABgyDMAAAAMeQYAAIAhzwAAADDkGQAAAIY8AwAAwJBnAAAAGPIMAAAAQ54B\n",
       "AABgyDMAAAAMeQYAAIAhzwAAADDkGQAAAIY8AwAAwJBnAAAAGPIMAAAAQ54BAABgyDMAAAAMeQYA\n",
       "AIAhzwAAADDkGQAAAIY8AwAAwJBnAAAAGPIMAAAAQ54BAABgyDMAAAAMeQYAAIAhzwAAADDkGQAA\n",
       "AIY8AwAAwJBnAAAAGPIMAAAAQ54BAABgyDMAAAAMeQYAAIAhzwAAADDkGQAAAIY8AwAAwJBnAAAA\n",
       "GPIMAAAAQ54BAABgyDMAAAAMeQYAAIAhzwAAADDkGQAAAIY8AwAAwJBnAAAAGPIMAAAAQ54BAABg\n",
       "yDMAAAAMeQYAAIAhzwAAADDkGQAAAIY8AwAAwJBnAAAAGPIMAAAAQ54BAABgyDMAAAAMeQYAAIAh\n",
       "zwAAADDkGQAAAIY8AwAAwJBnAAAAGPIMAAAAQ54BAABgyDMAAAAMeQYAAIAhzwAAADDkGQAAAIY8\n",
       "AwAAwJBnAAAAGPIMAAAAQ54BAABgyDMAAAAMeQYAAIAhzwAAADDkGQAAAIY8AwAAwJBnAAAAGPIM\n",
       "AAAAQ54BAABgyDMAAAAMeQYAAIAhzwAAADDkGQAAAIY8AwAAwJBnAAAAGPIMAAAAQ54BAABgyDMA\n",
       "AAAMeQYAAIAhzwAAADDkGQAAAIY8AwAAwMd5Se8AAAC/SURBVJBnAAAAGPIMAAAAQ54BAABgyDMA\n",
       "AAAMeQYAAIAhzwAAADDkGQAAAIY8AwAAwJBnAAAAGPIMAAAAQ54BAABgyDMAAAAMeQYAAIAhzwAA\n",
       "ADDkGQAAAIY8AwAAwJBnAAAAGPIMAAAAQ54BAABgyDMAAAAMeQYAAIAhzwAAADDkGQAAAIY8AwAA\n",
       "wJBnAAAAGPIMAAAAQ54BAABgyDMAAAAMeQYAAIAhzwAAADDkGQAAAIY8AwAAwJBnAAAAGAEcfDlL\n",
       "Mt/I1AAAAABJRU5ErkJggg==\n",
       "\" transform=\"translate(771, 44)\"/>\n",
       "</g>\n",
       "</svg>\n"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pdf_2D = pdf * ones(imSize[3])'\n",
    "mask = generate_mask(pdf_2D, 50, 0.01)\n",
    "imshow(mask[..,1,1] .* 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "A  ℝ^(300, 224, 48, 4) -> ℂ^(151, 224, 48, 4) "
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plan = plan_rfft(image4D, [1,2,3])\n",
    "fft_temp = similar(plan * image4D)\n",
    "inv_plan = plan_irfft(fft_temp, imSize[1], [1,2,3]);\n",
    "normalizer = √(prod(imSize[1:3]) / 2)\n",
    "Fᵤ = MyLinOp(imType, imSize, kType, kSize,\n",
    "    (b, x) -> b .= 1/normalizer .* mask .* mul!(b, plan, x),\n",
    "    (b, x) -> b .= normalizer .* mul!(b, inv_plan, fft_temp .= x))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "y = Fᵤ * image4D;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "mse (generic function with 1 method)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "image3D = sum(image4D, dims = 4)\n",
    "image3D_norm = norm(image3D)\n",
    "mse_temp = similar(image3D)\n",
    "mse(img) = norm(sum!(mse_temp, img) .-= image3D) / image3D_norm"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Baseline: Zero-filling reconstruction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mse(image4D_zf) = 0.139126356358845\n"
     ]
    }
   ],
   "source": [
    "image4D_zf = Fᵤ' * y\n",
    "@show mse(image4D_zf);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n",
       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n",
       "<defs>\n",
       "  <clipPath id=\"clip490\">\n",
       "    <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<path clip-path=\"url(#clip490)\" d=\"\n",
       "M0 1600 L2400 1600 L2400 0 L0 0  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<defs>\n",
       "  <clipPath id=\"clip491\">\n",
       "    <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<path clip-path=\"url(#clip490)\" d=\"\n",
       "M293.013 1486.45 L2222.71 1486.45 L2222.71 47.2441 L293.013 47.2441  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<defs>\n",
       "  <clipPath id=\"clip492\">\n",
       "    <rect x=\"293\" y=\"47\" width=\"1931\" height=\"1440\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<polyline clip-path=\"url(#clip492)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  609.25,47.2441 609.25,1486.45 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip492)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  931.942,47.2441 931.942,1486.45 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip492)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1254.63,47.2441 1254.63,1486.45 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip492)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1577.32,47.2441 1577.32,1486.45 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip492)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1900.02,47.2441 1900.02,1486.45 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip492)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  2222.71,47.2441 2222.71,1486.45 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip490)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  293.013,1486.45 2222.71,1486.45 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip490)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  609.25,1486.45 609.25,1469.18 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip490)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  931.942,1486.45 931.942,1469.18 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip490)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1254.63,1486.45 1254.63,1469.18 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip490)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1577.32,1486.45 1577.32,1469.18 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip490)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1900.02,1486.45 1900.02,1469.18 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip490)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  2222.71,1486.45 2222.71,1469.18 \n",
       "  \"/>\n",
       "<path clip-path=\"url(#clip490)\" d=\"M 0 0 M586.021 1512.56 L604.377 1512.56 L604.377 1516.5 L590.303 1516.5 L590.303 1524.97 Q591.322 1524.62 592.341 1524.46 Q593.359 1524.27 594.378 1524.27 Q600.165 1524.27 603.544 1527.44 Q606.924 1530.62 606.924 1536.03 Q606.924 1541.61 603.452 1544.71 Q599.979 1547.79 593.66 1547.79 Q591.484 1547.79 589.216 1547.42 Q586.97 1547.05 584.563 1546.31 L584.563 1541.61 Q586.646 1542.74 588.868 1543.3 Q591.091 1543.86 593.567 1543.86 Q597.572 1543.86 599.91 1541.75 Q602.248 1539.64 602.248 1536.03 Q602.248 1532.42 599.91 1530.31 Q597.572 1528.21 593.567 1528.21 Q591.692 1528.21 589.817 1528.62 Q587.966 1529.04 586.021 1529.92 L586.021 1512.56 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip490)\" d=\"M 0 0 M621.993 1515.64 Q618.382 1515.64 616.553 1519.2 Q614.748 1522.75 614.748 1529.87 Q614.748 1536.98 616.553 1540.55 Q618.382 1544.09 621.993 1544.09 Q625.627 1544.09 627.433 1540.55 Q629.262 1536.98 629.262 1529.87 Q629.262 1522.75 627.433 1519.2 Q625.627 1515.64 621.993 1515.64 M621.993 1511.93 Q627.803 1511.93 630.859 1516.54 Q633.938 1521.12 633.938 1529.87 Q633.938 1538.6 630.859 1543.21 Q627.803 1547.79 621.993 1547.79 Q616.183 1547.79 613.104 1543.21 Q610.049 1538.6 610.049 1529.87 Q610.049 1521.12 613.104 1516.54 Q616.183 1511.93 621.993 1511.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip490)\" d=\"M 0 0 M895.31 1543.18 L902.949 1543.18 L902.949 1516.82 L894.639 1518.49 L894.639 1514.23 L902.902 1512.56 L907.578 1512.56 L907.578 1543.18 L915.217 1543.18 L915.217 1547.12 L895.31 1547.12 L895.31 1543.18 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip490)\" d=\"M 0 0 M930.286 1515.64 Q926.675 1515.64 924.847 1519.2 Q923.041 1522.75 923.041 1529.87 Q923.041 1536.98 924.847 1540.55 Q926.675 1544.09 930.286 1544.09 Q933.921 1544.09 935.726 1540.55 Q937.555 1536.98 937.555 1529.87 Q937.555 1522.75 935.726 1519.2 Q933.921 1515.64 930.286 1515.64 M930.286 1511.93 Q936.097 1511.93 939.152 1516.54 Q942.231 1521.12 942.231 1529.87 Q942.231 1538.6 939.152 1543.21 Q936.097 1547.79 930.286 1547.79 Q924.476 1547.79 921.398 1543.21 Q918.342 1538.6 918.342 1529.87 Q918.342 1521.12 921.398 1516.54 Q924.476 1511.93 930.286 1511.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip490)\" d=\"M 0 0 M957.3 1515.64 Q953.689 1515.64 951.86 1519.2 Q950.055 1522.75 950.055 1529.87 Q950.055 1536.98 951.86 1540.55 Q953.689 1544.09 957.3 1544.09 Q960.934 1544.09 962.74 1540.55 Q964.569 1536.98 964.569 1529.87 Q964.569 1522.75 962.74 1519.2 Q960.934 1515.64 957.3 1515.64 M957.3 1511.93 Q963.11 1511.93 966.166 1516.54 Q969.245 1521.12 969.245 1529.87 Q969.245 1538.6 966.166 1543.21 Q963.11 1547.79 957.3 1547.79 Q951.49 1547.79 948.411 1543.21 Q945.356 1538.6 945.356 1529.87 Q945.356 1521.12 948.411 1516.54 Q951.49 1511.93 957.3 1511.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip490)\" d=\"M 0 0 M1218.5 1543.18 L1226.14 1543.18 L1226.14 1516.82 L1217.83 1518.49 L1217.83 1514.23 L1226.09 1512.56 L1230.77 1512.56 L1230.77 1543.18 L1238.41 1543.18 L1238.41 1547.12 L1218.5 1547.12 L1218.5 1543.18 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip490)\" d=\"M 0 0 M1243.52 1512.56 L1261.88 1512.56 L1261.88 1516.5 L1247.8 1516.5 L1247.8 1524.97 Q1248.82 1524.62 1249.84 1524.46 Q1250.86 1524.27 1251.88 1524.27 Q1257.67 1524.27 1261.05 1527.44 Q1264.42 1530.62 1264.42 1536.03 Q1264.42 1541.61 1260.95 1544.71 Q1257.48 1547.79 1251.16 1547.79 Q1248.98 1547.79 1246.72 1547.42 Q1244.47 1547.05 1242.06 1546.31 L1242.06 1541.61 Q1244.15 1542.74 1246.37 1543.3 Q1248.59 1543.86 1251.07 1543.86 Q1255.07 1543.86 1257.41 1541.75 Q1259.75 1539.64 1259.75 1536.03 Q1259.75 1532.42 1257.41 1530.31 Q1255.07 1528.21 1251.07 1528.21 Q1249.19 1528.21 1247.32 1528.62 Q1245.47 1529.04 1243.52 1529.92 L1243.52 1512.56 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip490)\" d=\"M 0 0 M1279.49 1515.64 Q1275.88 1515.64 1274.05 1519.2 Q1272.25 1522.75 1272.25 1529.87 Q1272.25 1536.98 1274.05 1540.55 Q1275.88 1544.09 1279.49 1544.09 Q1283.13 1544.09 1284.93 1540.55 Q1286.76 1536.98 1286.76 1529.87 Q1286.76 1522.75 1284.93 1519.2 Q1283.13 1515.64 1279.49 1515.64 M1279.49 1511.93 Q1285.3 1511.93 1288.36 1516.54 Q1291.44 1521.12 1291.44 1529.87 Q1291.44 1538.6 1288.36 1543.21 Q1285.3 1547.79 1279.49 1547.79 Q1273.68 1547.79 1270.61 1543.21 Q1267.55 1538.6 1267.55 1529.87 Q1267.55 1521.12 1270.61 1516.54 Q1273.68 1511.93 1279.49 1511.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip490)\" d=\"M 0 0 M1544.96 1543.18 L1561.28 1543.18 L1561.28 1547.12 L1539.34 1547.12 L1539.34 1543.18 Q1542 1540.43 1546.58 1535.8 Q1551.19 1531.15 1552.37 1529.81 Q1554.62 1527.28 1555.5 1525.55 Q1556.4 1523.79 1556.4 1522.1 Q1556.4 1519.34 1554.45 1517.61 Q1552.53 1515.87 1549.43 1515.87 Q1547.23 1515.87 1544.78 1516.63 Q1542.35 1517.4 1539.57 1518.95 L1539.57 1514.23 Q1542.39 1513.09 1544.85 1512.51 Q1547.3 1511.93 1549.34 1511.93 Q1554.71 1511.93 1557.9 1514.62 Q1561.1 1517.31 1561.1 1521.8 Q1561.1 1523.93 1560.29 1525.85 Q1559.5 1527.74 1557.39 1530.34 Q1556.82 1531.01 1553.71 1534.23 Q1550.61 1537.42 1544.96 1543.18 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip490)\" d=\"M 0 0 M1576.35 1515.64 Q1572.74 1515.64 1570.91 1519.2 Q1569.11 1522.75 1569.11 1529.87 Q1569.11 1536.98 1570.91 1540.55 Q1572.74 1544.09 1576.35 1544.09 Q1579.99 1544.09 1581.79 1540.55 Q1583.62 1536.98 1583.62 1529.87 Q1583.62 1522.75 1581.79 1519.2 Q1579.99 1515.64 1576.35 1515.64 M1576.35 1511.93 Q1582.16 1511.93 1585.22 1516.54 Q1588.3 1521.12 1588.3 1529.87 Q1588.3 1538.6 1585.22 1543.21 Q1582.16 1547.79 1576.35 1547.79 Q1570.54 1547.79 1567.46 1543.21 Q1564.41 1538.6 1564.41 1529.87 Q1564.41 1521.12 1567.46 1516.54 Q1570.54 1511.93 1576.35 1511.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip490)\" d=\"M 0 0 M1603.37 1515.64 Q1599.75 1515.64 1597.93 1519.2 Q1596.12 1522.75 1596.12 1529.87 Q1596.12 1536.98 1597.93 1540.55 Q1599.75 1544.09 1603.37 1544.09 Q1607 1544.09 1608.81 1540.55 Q1610.63 1536.98 1610.63 1529.87 Q1610.63 1522.75 1608.81 1519.2 Q1607 1515.64 1603.37 1515.64 M1603.37 1511.93 Q1609.18 1511.93 1612.23 1516.54 Q1615.31 1521.12 1615.31 1529.87 Q1615.31 1538.6 1612.23 1543.21 Q1609.18 1547.79 1603.37 1547.79 Q1597.56 1547.79 1594.48 1543.21 Q1591.42 1538.6 1591.42 1529.87 Q1591.42 1521.12 1594.48 1516.54 Q1597.56 1511.93 1603.37 1511.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip490)\" d=\"M 0 0 M1868.15 1543.18 L1884.47 1543.18 L1884.47 1547.12 L1862.53 1547.12 L1862.53 1543.18 Q1865.19 1540.43 1869.77 1535.8 Q1874.38 1531.15 1875.56 1529.81 Q1877.81 1527.28 1878.68 1525.55 Q1879.59 1523.79 1879.59 1522.1 Q1879.59 1519.34 1877.64 1517.61 Q1875.72 1515.87 1872.62 1515.87 Q1870.42 1515.87 1867.97 1516.63 Q1865.54 1517.4 1862.76 1518.95 L1862.76 1514.23 Q1865.58 1513.09 1868.04 1512.51 Q1870.49 1511.93 1872.53 1511.93 Q1877.9 1511.93 1881.09 1514.62 Q1884.29 1517.31 1884.29 1521.8 Q1884.29 1523.93 1883.48 1525.85 Q1882.69 1527.74 1880.58 1530.34 Q1880 1531.01 1876.9 1534.23 Q1873.8 1537.42 1868.15 1543.18 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip490)\" d=\"M 0 0 M1889.59 1512.56 L1907.94 1512.56 L1907.94 1516.5 L1893.87 1516.5 L1893.87 1524.97 Q1894.89 1524.62 1895.91 1524.46 Q1896.93 1524.27 1897.94 1524.27 Q1903.73 1524.27 1907.11 1527.44 Q1910.49 1530.62 1910.49 1536.03 Q1910.49 1541.61 1907.02 1544.71 Q1903.55 1547.79 1897.23 1547.79 Q1895.05 1547.79 1892.78 1547.42 Q1890.54 1547.05 1888.13 1546.31 L1888.13 1541.61 Q1890.21 1542.74 1892.43 1543.3 Q1894.66 1543.86 1897.13 1543.86 Q1901.14 1543.86 1903.48 1541.75 Q1905.81 1539.64 1905.81 1536.03 Q1905.81 1532.42 1903.48 1530.31 Q1901.14 1528.21 1897.13 1528.21 Q1895.26 1528.21 1893.38 1528.62 Q1891.53 1529.04 1889.59 1529.92 L1889.59 1512.56 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip490)\" d=\"M 0 0 M1925.56 1515.64 Q1921.95 1515.64 1920.12 1519.2 Q1918.31 1522.75 1918.31 1529.87 Q1918.31 1536.98 1920.12 1540.55 Q1921.95 1544.09 1925.56 1544.09 Q1929.19 1544.09 1931 1540.55 Q1932.83 1536.98 1932.83 1529.87 Q1932.83 1522.75 1931 1519.2 Q1929.19 1515.64 1925.56 1515.64 M1925.56 1511.93 Q1931.37 1511.93 1934.43 1516.54 Q1937.5 1521.12 1937.5 1529.87 Q1937.5 1538.6 1934.43 1543.21 Q1931.37 1547.79 1925.56 1547.79 Q1919.75 1547.79 1916.67 1543.21 Q1913.62 1538.6 1913.62 1529.87 Q1913.62 1521.12 1916.67 1516.54 Q1919.75 1511.93 1925.56 1511.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip490)\" d=\"M 0 0 M2199.94 1528.49 Q2203.3 1529.2 2205.17 1531.47 Q2207.07 1533.74 2207.07 1537.07 Q2207.07 1542.19 2203.55 1544.99 Q2200.03 1547.79 2193.55 1547.79 Q2191.38 1547.79 2189.06 1547.35 Q2186.77 1546.93 2184.32 1546.08 L2184.32 1541.56 Q2186.26 1542.7 2188.58 1543.28 Q2190.89 1543.86 2193.41 1543.86 Q2197.81 1543.86 2200.1 1542.12 Q2202.42 1540.38 2202.42 1537.07 Q2202.42 1534.02 2200.27 1532.31 Q2198.14 1530.57 2194.32 1530.57 L2190.29 1530.57 L2190.29 1526.73 L2194.5 1526.73 Q2197.95 1526.73 2199.78 1525.36 Q2201.61 1523.97 2201.61 1521.38 Q2201.61 1518.72 2199.71 1517.31 Q2197.83 1515.87 2194.32 1515.87 Q2192.39 1515.87 2190.2 1516.29 Q2188 1516.7 2185.36 1517.58 L2185.36 1513.42 Q2188.02 1512.68 2190.33 1512.31 Q2192.67 1511.93 2194.73 1511.93 Q2200.06 1511.93 2203.16 1514.37 Q2206.26 1516.77 2206.26 1520.89 Q2206.26 1523.76 2204.62 1525.75 Q2202.97 1527.72 2199.94 1528.49 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip490)\" d=\"M 0 0 M2222.14 1515.64 Q2218.53 1515.64 2216.7 1519.2 Q2214.89 1522.75 2214.89 1529.87 Q2214.89 1536.98 2216.7 1540.55 Q2218.53 1544.09 2222.14 1544.09 Q2225.77 1544.09 2227.58 1540.55 Q2229.41 1536.98 2229.41 1529.87 Q2229.41 1522.75 2227.58 1519.2 Q2225.77 1515.64 2222.14 1515.64 M2222.14 1511.93 Q2227.95 1511.93 2231.01 1516.54 Q2234.08 1521.12 2234.08 1529.87 Q2234.08 1538.6 2231.01 1543.21 Q2227.95 1547.79 2222.14 1547.79 Q2216.33 1547.79 2213.25 1543.21 Q2210.2 1538.6 2210.2 1529.87 Q2210.2 1521.12 2213.25 1516.54 Q2216.33 1511.93 2222.14 1511.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip490)\" d=\"M 0 0 M2249.15 1515.64 Q2245.54 1515.64 2243.71 1519.2 Q2241.91 1522.75 2241.91 1529.87 Q2241.91 1536.98 2243.71 1540.55 Q2245.54 1544.09 2249.15 1544.09 Q2252.79 1544.09 2254.59 1540.55 Q2256.42 1536.98 2256.42 1529.87 Q2256.42 1522.75 2254.59 1519.2 Q2252.79 1515.64 2249.15 1515.64 M2249.15 1511.93 Q2254.96 1511.93 2258.02 1516.54 Q2261.1 1521.12 2261.1 1529.87 Q2261.1 1538.6 2258.02 1543.21 Q2254.96 1547.79 2249.15 1547.79 Q2243.34 1547.79 2240.27 1543.21 Q2237.21 1538.6 2237.21 1529.87 Q2237.21 1521.12 2240.27 1516.54 Q2243.34 1511.93 2249.15 1511.93 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><polyline clip-path=\"url(#clip492)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  293.013,363.482 2222.71,363.482 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip492)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  293.013,686.173 2222.71,686.173 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip492)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  293.013,1008.86 2222.71,1008.86 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip492)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  293.013,1331.56 2222.71,1331.56 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip490)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  293.013,47.2441 293.013,1486.45 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip490)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  293.013,363.482 316.169,363.482 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip490)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  293.013,686.173 316.169,686.173 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip490)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  293.013,1008.86 316.169,1008.86 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip490)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  293.013,1331.56 316.169,1331.56 \n",
       "  \"/>\n",
       "<path clip-path=\"url(#clip490)\" d=\"M 0 0 M209.096 346.202 L227.453 346.202 L227.453 350.137 L213.379 350.137 L213.379 358.609 Q214.397 358.262 215.416 358.1 Q216.434 357.915 217.453 357.915 Q223.24 357.915 226.619 361.086 Q229.999 364.257 229.999 369.674 Q229.999 375.252 226.527 378.354 Q223.054 381.433 216.735 381.433 Q214.559 381.433 212.291 381.063 Q210.045 380.692 207.638 379.952 L207.638 375.252 Q209.721 376.387 211.943 376.942 Q214.166 377.498 216.642 377.498 Q220.647 377.498 222.985 375.391 Q225.323 373.285 225.323 369.674 Q225.323 366.063 222.985 363.956 Q220.647 361.85 216.642 361.85 Q214.767 361.85 212.892 362.266 Q211.041 362.683 209.096 363.563 L209.096 346.202 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip490)\" d=\"M 0 0 M245.068 349.28 Q241.457 349.28 239.628 352.845 Q237.823 356.387 237.823 363.516 Q237.823 370.623 239.628 374.188 Q241.457 377.729 245.068 377.729 Q248.702 377.729 250.508 374.188 Q252.337 370.623 252.337 363.516 Q252.337 356.387 250.508 352.845 Q248.702 349.28 245.068 349.28 M245.068 345.577 Q250.878 345.577 253.934 350.183 Q257.013 354.766 257.013 363.516 Q257.013 372.243 253.934 376.85 Q250.878 381.433 245.068 381.433 Q239.258 381.433 236.179 376.85 Q233.124 372.243 233.124 363.516 Q233.124 354.766 236.179 350.183 Q239.258 345.577 245.068 345.577 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip490)\" d=\"M 0 0 M183.078 699.518 L190.717 699.518 L190.717 673.152 L182.406 674.819 L182.406 670.56 L190.67 668.893 L195.346 668.893 L195.346 699.518 L202.985 699.518 L202.985 703.453 L183.078 703.453 L183.078 699.518 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip490)\" d=\"M 0 0 M218.054 671.972 Q214.443 671.972 212.615 675.537 Q210.809 679.078 210.809 686.208 Q210.809 693.314 212.615 696.879 Q214.443 700.421 218.054 700.421 Q221.689 700.421 223.494 696.879 Q225.323 693.314 225.323 686.208 Q225.323 679.078 223.494 675.537 Q221.689 671.972 218.054 671.972 M218.054 668.268 Q223.865 668.268 226.92 672.875 Q229.999 677.458 229.999 686.208 Q229.999 694.935 226.92 699.541 Q223.865 704.124 218.054 704.124 Q212.244 704.124 209.166 699.541 Q206.11 694.935 206.11 686.208 Q206.11 677.458 209.166 672.875 Q212.244 668.268 218.054 668.268 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip490)\" d=\"M 0 0 M245.068 671.972 Q241.457 671.972 239.628 675.537 Q237.823 679.078 237.823 686.208 Q237.823 693.314 239.628 696.879 Q241.457 700.421 245.068 700.421 Q248.702 700.421 250.508 696.879 Q252.337 693.314 252.337 686.208 Q252.337 679.078 250.508 675.537 Q248.702 671.972 245.068 671.972 M245.068 668.268 Q250.878 668.268 253.934 672.875 Q257.013 677.458 257.013 686.208 Q257.013 694.935 253.934 699.541 Q250.878 704.124 245.068 704.124 Q239.258 704.124 236.179 699.541 Q233.124 694.935 233.124 686.208 Q233.124 677.458 236.179 672.875 Q239.258 668.268 245.068 668.268 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip490)\" d=\"M 0 0 M184.073 1022.21 L191.712 1022.21 L191.712 995.844 L183.402 997.51 L183.402 993.251 L191.666 991.585 L196.342 991.585 L196.342 1022.21 L203.98 1022.21 L203.98 1026.14 L184.073 1026.14 L184.073 1022.21 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip490)\" d=\"M 0 0 M209.096 991.585 L227.453 991.585 L227.453 995.52 L213.379 995.52 L213.379 1003.99 Q214.397 1003.64 215.416 1003.48 Q216.434 1003.3 217.453 1003.3 Q223.24 1003.3 226.619 1006.47 Q229.999 1009.64 229.999 1015.06 Q229.999 1020.64 226.527 1023.74 Q223.054 1026.82 216.735 1026.82 Q214.559 1026.82 212.291 1026.45 Q210.045 1026.08 207.638 1025.33 L207.638 1020.64 Q209.721 1021.77 211.943 1022.33 Q214.166 1022.88 216.642 1022.88 Q220.647 1022.88 222.985 1020.77 Q225.323 1018.67 225.323 1015.06 Q225.323 1011.45 222.985 1009.34 Q220.647 1007.23 216.642 1007.23 Q214.767 1007.23 212.892 1007.65 Q211.041 1008.07 209.096 1008.95 L209.096 991.585 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip490)\" d=\"M 0 0 M245.068 994.663 Q241.457 994.663 239.628 998.228 Q237.823 1001.77 237.823 1008.9 Q237.823 1016.01 239.628 1019.57 Q241.457 1023.11 245.068 1023.11 Q248.702 1023.11 250.508 1019.57 Q252.337 1016.01 252.337 1008.9 Q252.337 1001.77 250.508 998.228 Q248.702 994.663 245.068 994.663 M245.068 990.96 Q250.878 990.96 253.934 995.566 Q257.013 1000.15 257.013 1008.9 Q257.013 1017.63 253.934 1022.23 Q250.878 1026.82 245.068 1026.82 Q239.258 1026.82 236.179 1022.23 Q233.124 1017.63 233.124 1008.9 Q233.124 1000.15 236.179 995.566 Q239.258 990.96 245.068 990.96 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip490)\" d=\"M 0 0 M186.666 1344.9 L202.985 1344.9 L202.985 1348.84 L181.041 1348.84 L181.041 1344.9 Q183.703 1342.15 188.286 1337.52 Q192.893 1332.86 194.073 1331.52 Q196.318 1329 197.198 1327.26 Q198.101 1325.5 198.101 1323.81 Q198.101 1321.06 196.156 1319.32 Q194.235 1317.59 191.133 1317.59 Q188.934 1317.59 186.481 1318.35 Q184.05 1319.11 181.272 1320.66 L181.272 1315.94 Q184.096 1314.81 186.55 1314.23 Q189.004 1313.65 191.041 1313.65 Q196.411 1313.65 199.605 1316.34 Q202.8 1319.02 202.8 1323.51 Q202.8 1325.64 201.99 1327.56 Q201.203 1329.46 199.096 1332.05 Q198.517 1332.72 195.416 1335.94 Q192.314 1339.14 186.666 1344.9 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip490)\" d=\"M 0 0 M218.054 1317.35 Q214.443 1317.35 212.615 1320.92 Q210.809 1324.46 210.809 1331.59 Q210.809 1338.7 212.615 1342.26 Q214.443 1345.8 218.054 1345.8 Q221.689 1345.8 223.494 1342.26 Q225.323 1338.7 225.323 1331.59 Q225.323 1324.46 223.494 1320.92 Q221.689 1317.35 218.054 1317.35 M218.054 1313.65 Q223.865 1313.65 226.92 1318.26 Q229.999 1322.84 229.999 1331.59 Q229.999 1340.32 226.92 1344.92 Q223.865 1349.51 218.054 1349.51 Q212.244 1349.51 209.166 1344.92 Q206.11 1340.32 206.11 1331.59 Q206.11 1322.84 209.166 1318.26 Q212.244 1313.65 218.054 1313.65 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip490)\" d=\"M 0 0 M245.068 1317.35 Q241.457 1317.35 239.628 1320.92 Q237.823 1324.46 237.823 1331.59 Q237.823 1338.7 239.628 1342.26 Q241.457 1345.8 245.068 1345.8 Q248.702 1345.8 250.508 1342.26 Q252.337 1338.7 252.337 1331.59 Q252.337 1324.46 250.508 1320.92 Q248.702 1317.35 245.068 1317.35 M245.068 1313.65 Q250.878 1313.65 253.934 1318.26 Q257.013 1322.84 257.013 1331.59 Q257.013 1340.32 253.934 1344.92 Q250.878 1349.51 245.068 1349.51 Q239.258 1349.51 236.179 1344.92 Q233.124 1340.32 233.124 1331.59 Q233.124 1322.84 236.179 1318.26 Q239.258 1313.65 245.068 1313.65 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><g clip-path=\"url(#clip492)\">\n",
       "<image width=\"1936\" height=\"1446\" xlink:href=\"data:image/png;base64,\n",
       "iVBORw0KGgoAAAANSUhEUgAAB5AAAAWmCAYAAABOZjwsAAAgAElEQVR4nOzdyXJlyZUdUH9oMjKS\n",
       "rEHJNNBAP6T/n+sDZJpIRSuRiU4TGO3hJMIPdhwHSJXWGiXM7/W+vxn2Lr/99tvLGrhcLpPXP9XL\n",
       "y8eLdnNzE8X9/Py8Dd/VS83X3d1dlHYX307XXk9PT1HaXXzXeZumXd/ftVnXnjW8q8Okjm9vb7fh\n",
       "XTlrWl1f69LbxV11adX3d23atXcN757ftWnNV1fOrn8k4yCdA5MxU9X2Sft5l1bSz6uu71SPj4/b\n",
       "8Ou8d3XWjYG0r+3KksxDa2Vjbrqepu23e77mJV0bOrs268pR89I9P11jr6Xjd9KmJ+OqTq/1uzGT\n",
       "9stuPE/mqSodz0kbTNehNG+7Nqhh07xVu/i6tGo5J/vr05L9WLq/SvdI19L2Se3GYDoXTOaONO20\n",
       "b6T7ln8WX1nO03NkXXuS83IXPukfp9fb5P3T+6vkfNz1jfRsPjkXpv30n+l8XCX1MN2jJv0nrbPp\n",
       "nca1dO92cp07ec+z1mxOre09uRdIz7dde9WzeXIe7kzOaum93TQv1ybt8zPPX6c37bc178mcWKXn\n",
       "iC6tpE3T8093x/SVe4HPNBlTtVzTvlbnll2bnb6DSO7iTp+f0jGYvJvEVaV3+pO0uudP7p9Sp+fv\n",
       "k+fGk98f0z3sZP7+3BsIAAAAAAAAAP6f4QMyAAAAAAAAAGstH5ABAAAAAAAAeOUDMgAAAAAAAABr\n",
       "LR+QAQAAAAAAAHjlAzIAAAAAAAAAay0fkAEAAAAAAAB45QMyAAAAAAAAAGuttS7fvn17mURwe3t7\n",
       "Ki+xm5vs+/flcvmpsLXWenl5W03d87u81bCnp6dtXJ3n5+c3f9e8fjRfa/2xXDXu7vk0/Nou3+nz\n",
       "J/PVpbXW23rt4u7a+2Q91LC7u7so7qqWbZd22neSOu50dfz4+BiltUs7zXfavrt3uzpJ58iT0jm1\n",
       "um6jdLxWdZ3q0k7mlkl7rtWPk13a1cm1Ja2zrhxJPXXlvL+/j9JOTPtaIl0LTu630jmwS3vXvl1a\n",
       "/0in9wLXa+y0vWpaXdpJWab7lJPzVi3XpL/UtE7vBSd7gZNzS3omSe3iO7lH/YjrvjaNq5Zr157p\n",
       "GJnuea7ni8kZ8yNpJdL1Nd0T7+JPx9SkXk6PqWQuSs9Lk719nV+7uT7ti5O5Izl7rZXtO7typP18\n",
       "Ot4/027v0e1Lkjultc6uPTXtyd7+s/fyu/jTs9dk3qppfeW5//Q6tIuv3l9Nz6TVV+55kn3p6Tvi\n",
       "zslxc7J/dOVI146dtL1P3kF00jPOLm/pnX9y/v1I3pK0vvJ7xOn7kWRumY735HtE2m8neUv2iR9x\n",
       "8k4x3XdMviemPvOupbP9nhjFBAAAAAAAAMB/WD4gAwAAAAAAALDW8gEZAAAAAAAAgFc+IAMAAAAA\n",
       "AACw1vIBGQAAAAAAAIBXl2/fvr2cjPDu7m4b/vz8fCytm5tz37/TuJ6enrbhLy8fr9ZffvllG365\n",
       "XKK87NK+v7/fxpXk+yOu4zvZ9mvt6+Xh4SGKq6uX29vbbfh12bq+0bVn1fXNXXy1zk/227X29dLF\n",
       "VfPWPb8rZ83HtK/V+E6Pi1O69uz6bS3XLr5ubu/Sqrq8Pz4+/v2/0zFT1fcna0ftW13euvDrNpiu\n",
       "abU9J+MgzUs6fpN5q4vr5PiczEPvvT/puzWuLm9dm12vc11caZ3unk/7YVeOJL7T7ZXkbTo3fKZp\n",
       "3pI193ou/5m0ql1fS9vzZNpdv6zh3Zr5lf2jlmvXz9P5uXs+mWtOjs9pWkmdfUQ3TpK0at7TveAu\n",
       "X9P2rHk/uUZO2iDdJ6bhkzky3dvt8pbW0cn1O73PSMfgTnpG6dKanPXTMdCF1zba3YGkc0fSZl0d\n",
       "d3VWdfHtwmta6fpc1TNwsg/5TOl5KF0LTp7V0vG/0/XjtA3SvnktLWey5p3ew6ZtNnk2PWfunj99\n",
       "ltvVQ3rP00n2Y+kedjLXpHuBbp9S49vFn9yrv/f3Zzq990/OjdM5MrlTTPM9OV/VuE7vxybrVDWZ\n",
       "O9K4vvL+8ugd8U+/CQAAAAAAAMB/KD4gAwAAAAAAALDW8gEZAAAAAAAAgFc+IAMAAAAAAACw1vIB\n",
       "GQAAAAAAAIBXl+/fv79MIri9vY2ef3p6+vCzz8/P2/DL5bINv7l5+31893yXVo2r/v2ZunK+vLxs\n",
       "//5o2EfSmjyfxt3pyrJT2+9kvXRxdX0nLdfu+TrepmOq2pUl7bfd813ek7g6SRucHjO7tO/u7j78\n",
       "7EecrNOaly7uZMxNx1RdpyZ9LS3nybWiS6uO966cyfqdrrfd+7u0u31C2u+Tfj5dC2r4ZD1O+04y\n",
       "5k7Pz7uy1Hen83OdB3f11PWlWmfTOTXdE++c7OdpX0r75q6ek33/WrO5Ztp+nUnfTfO260un+211\n",
       "cm/XSeLr4v7999+34bVOkzqu0nNEoptHurydPJvXtKZz3Mn1uOrydvIsl7bByTPrRDp3pOGT/pH0\n",
       "jY84ee+Q5m3XZsn91Fp9GyRrbNo+yTiY3m+crOP0PDQNT579zP31tI6T+87P3m9dq/menklrfLt6\n",
       "SdeVk+tzun+u0jGV3EF1bdDl/eSYqmlNzten76uT+E/e+Xfhab9N8zY5m9e4at+rujGVnCPSOXKy\n",
       "b0nXgmSN/cr5ea193tM6+8pvXyf3HWnaaXvvxk2XVh0jk3t6/wIZAAAAAAAAgLWWD8gAAAAAAAAA\n",
       "vPIBGQAAAAAAAIC1lg/IAAAAAAAAALzyARkAAAAAAACAtdZal2/fvr3sHri/v99GcHt7++bvl5dt\n",
       "dEelae2ev7nJvqV3ae/Ca1gX1+Vy2YbXvO/K0sX1/Pwc5e2kNK1dObv2rP22q5cu/Drvk76x1lqP\n",
       "j4/R87XNdu925aj1Uj09PW3Dd2lXNS9JHXdxpeO5quXc1fHJ8blWNg66uHb5fi+tk+O9i6vra9fh\n",
       "0zFVwydtcHqOTMrZtWcqmUMn4zN9/uQY6dRyTdugxjdps1oPdW1IXZeta88uL4l0n5i2b1qWa2m5\n",
       "knHQrZfTvV+1S6/2w67cXXi6fu+cnDuqdLxWtR6SvX0X3j2/a4M6ptK1vgvf1cvp+TnpO6fXwF3a\n",
       "J/vGRyTvn+5ryR73n/nMOpmH6vra7VFPnlk76Xjf7RVOj89kLUj3kdMxdZ3e3d3dh599z8n2ru3T\n",
       "7RXS9XiyTqVpJ/F1bVDrZdImtU6n81Zyjjx9p7iTzs9pfJNn0/V6F19arpNpn54bJutUld53Jvd4\n",
       "XVxdHU/339fS8Tu5g0rvedL5e5d2mtbkXremNT1HdHumJK70XjfJ+7Scad524TWtri+dHDOnz/m7\n",
       "8NPrcTVZ92p/6PrHybV/OodO0hrdnU0zAwAAAAAAAMB/DD4gAwAAAAAAALDW8gEZAAAAAAAAgFc+\n",
       "IAMAAAAAAACw1vIBGQAAAAAAAIBXPiADAAAAAAAAsNbyARkAAAAAAACAV5fv37+/7B64udl/Y355\n",
       "efv65XKJnr/2/Pz85u/b29ttXF14F3+i5ntXjrX29VDrdJKv99K6u7v7qXytlZezy/t1etO4uvd/\n",
       "lO5Hwrt+noR3aT8+Pm7Dazm7tJ+enj4cV6d7vstLorZ3F/euXmtck3novfjSuWYXV9omE7u5YK0/\n",
       "1vmuDdLxOZkjP/J+Elct127MdLrxW50sZ9cPa1qTvpa2ZxeejKGufWo5J3Vc+8Z0fCbxpfPQdExd\n",
       "t8HpvUASV5d2J6mXNK1071Bd52U6Jk7mveYlHWPVyX1srYcu7SStaV9L3k/roGuDyXpcpf365D7l\n",
       "K9f6NHxXj+l+eLJPXOtt3qbnwpr35KzW6eJK9/K7cXDyzNFJx0A6RpL5OXk3fb7W98k1772/k7iq\n",
       "aV+7Luv0nD8dk0laVdrXJnNROndch39lHXbSe56TfTPdX6V3rRMn73mSvvGRuJPzUhdXNwaSfn7y\n",
       "fnKtbE49PT939bIra3r2TvfyyT1fVfvDZO9/Mq61/pj3yb4znTt2d1bp3enJfcjp70uJr7yH7dJL\n",
       "x2dyNp+epU/eQZ28U3ovrcneIo1r13fTfntyL9jtO072e/8CGQAAAAAAAIC1lg/IAAAAAAAAALzy\n",
       "ARkAAAAAAACAtZYPyAAAAAAAAAC88gEZAAAAAAAAgLXWWpfv37+/TCK4vb198/fNzf6b9C78+fn5\n",
       "zd+Pj4/buJ6enprcvVXzeu1yuURxvbz8fLXVOujSrvUy0cVV87arsxPpJWredu3f1WmNa5rPpP90\n",
       "fSftW7vn07jSetuN59NjKo1vJ23vXd66fNXw7vl0XjtpV85ubq912pUz6ZvTMVPz0pVll/ca1q1T\n",
       "yZia1lltg7TNdiZ19l74ZEzVMTKpt3S8dfWQpH0yrrWyOfJke62170vpHJjuiSZ96fQaeR3+1XP5\n",
       "rj8la/da/dxQ622yF6hxdW3SzbkfzddH1LxM9iF1P92V4+SY6tozXSN36rtde3ZpXb8/3Qsk4yAd\n",
       "A51kDZ2mfbJ/pGMg3V/v4pv2nSStVJr2rl7S/VVXx8n5eLqvqO8n81ZV58jJvuMj6f3ssx95fhd+\n",
       "8gyaPp/Mt2tl433aHrX9J3Vc19euDtP7rsl4PrlG1rE+Hc/JXVu3x03nyF186d3pyTuor7wjrulN\n",
       "y3ny/iMdU53k/ZNrdxdfOg91897JM2s1uaev+ZrO30k5O6fX4+t+/9X765P3QEkbTNeCf9Z79/ck\n",
       "97ZVen/9s/n4SNpVcj+Stmc6b13zL5ABAAAAAAAAWGv5gAwAAAAAAADAKx+QAQAAAAAAAFhr+YAM\n",
       "AAAAAAAAwCsfkAEAAAAAAABYa611+f79+8vugZub/Tfm5+fnLMHL5afCfkaNrytLEtfT01P0/EfD\n",
       "3vPysm2iT41r2ibX/aPrK11atf127dmVs4bf3d1Fae/iS8dEldb5ri/Wck7GwFpZ2dK5o4v79vb2\n",
       "w2l3dZj2xV3a3VxQ0+rytguvcXX9tlPzPum7ad/q6uG676Zzwy6utc6Ws+uX3Vx03QbpvFXd39+/\n",
       "+burt4eHhx+G1To6vReYrGs1L5MxVcO6cnT5rmNyF18XV7oWJGPw8fHxaNrJ8+l47dLaPX+6jjtJ\n",
       "v07He1dvST+f7ivr+7v4JuMzVcfbtJwn6y0tZ7Ln6aT5PrlGTtv3eo2czh11z3Oy703XyOu8TPOV\n",
       "7seSderkXr2Tzt9fmbdOMhcl++GpGte0ryXxnV4LkuendVznju753Ris/fBk+661399N7wGqZN5K\n",
       "99eTvnnyDnCtP+Z9d/bv8n2y/dNypm30lfcCielcX+t80p6ppE5Pn2G+cg/7lfur1GfeZ1Z1Pt7F\n",
       "l5aze343DtK9Xdd3kjpN7/Um6+1ab/PW3X+k9zyTdS+dv6ffGBLJOX+tP95BXku/o33l98V0zfvK\n",
       "b3yf+e1rMt79C2QAAAAAAAAA1lo+IAMAAAAAAADwygdkAAAAAAAAANZaPiADAAAAAAAA8MoHZAAA\n",
       "AAAAAADWWmtd/vSnP73sHnh52Qavy+USPZ/E9fz8HD1f1bzc3Pz4e/ku7Gfs4qv57srR1UMt58k2\n",
       "6PL29PS0Db/OS9peVa3TLr4krq6OO0leJvl+z67ebm9vo7S79kzqKe2H3fO1LLt303mrqv1jF19X\n",
       "JzW8q+OvnDuSvpjOkV0bJH2pSzvta5O5qIalfWmSr04dI129TNaKNK7a3sm81aU1Ge8n66BLK007\n",
       "3V8l4Wm/7frxbjyn621aL7uydPnu5uMq6S/ds3d3d9vwWk8n562v3PN2ajlPrlvTvV3SP+7v76O4\n",
       "T+8Fd9J9x+S89PDw8PGMrb4ersOnc0fST7s6S/djX7lXqPUwGVM1X8m57yNpTcZBsq947/ldPrr5\n",
       "+fS+dCe9H0nSns6RtZ527Zn228fHx+3z0zGXOBlXWudpX9vFn6bd7cev83by3PeR53fhXb6rro7T\n",
       "MbjzmXPDNO06v0/Gc3pvl+xhO2l7nhzfaR1X13mZrjM1vFvXdnk73deSeStN++TakJ4Tu7R2Z4Wu\n",
       "zur+erLnPd2eSfzp/Hzynv70OjWZz+t47Orl5D19J72DSsbvyfNQF1+3j6x12qWdjKlpX6vhk/F8\n",
       "8u7Uv0AGAAAAAAAAYK3lAzIAAAAAAAAAr3xABgAAAAAAAGCt5QMyAAAAAAAAAK98QAYAAAAAAABg\n",
       "reUDMgAAAAAAAACvfEAGAAAAAAAAYK211uX79+8vuwfu7u72EVwu27+rp6enH4bd3t5u362en5+j\n",
       "8F3euriqLq8vLz+u1hq2e/YjaXV1njxb6yGtl116Xdpp39k939XZzc0/7v+dmNZptes/tY66tLu+\n",
       "OEm7qm007R/XunLu5qH33t+lneTrI8+nbTBR85LMW52T5ejGa5rWyfim8/N1X0z7UiddI6+dzkut\n",
       "88ncUePqyrmLL43r4eFhG97tmT5T12+Tfl2fPdkfuvm3G581fPd81551/E7nrev3u7i6vNVypeNi\n",
       "p2uDk3vFdG2f7M9qPtK+VNV6msxb6X5st7Z85vhc62vXhqRfT/ewyf477Ydd2pPzcZX265Nr5FSt\n",
       "p13e0vPxZP6u+eji6uolmYvSO4XJ3u70fjm9B0pMz4XX4V25Hx8ft+En59x0zUvvDSZ5S+ahtd7W\n",
       "S3qPV6X5/soza93b79osrcN0jO3CpuvM5Jxw+vmd6bp08u709H7sOr7pnifN265eT/e1Gj45Pyd3\n",
       "xF14cgf4EUkbnN5v7dJK56nTdzOJab0kYyq9o5j0j9o3vvKbz+n75l18p799nPwmcLIe0jkybaPJ\n",
       "nie58+/4F8gAAAAAAAAArLV8QAYAAAAAAADglQ/IAAAAAAAAAKy1fEAGAAAAAAAA4JUPyAAAAAAA\n",
       "AACstda6/Pbbby+7B25vb/cRXC5v/n552Ub3h+evPT8/f/jZj7i5eft9fJe3mnaVlnMXnuTrveeT\n",
       "tKquTms9TNqzvt89m8TVPd/VWdW1fxff9fvTOkv7fZf3RNoGu7J2caVtlMQ1bc9qUse1jiZ5S8uZ\n",
       "zmvJ/Fwl89BaZ9u/k5RzrSxvaR3v0urqME3r6elp+/xH8/WRtDu1bLu9Rbq+TubcZF05EX4trdN0\n",
       "/Z48e7Je0rHetWft1yfT7p5P2jddT7vw6d4ieTZtg5N7gcmeN5lnfsZu3KTj+f/lvpaY7h0+sx52\n",
       "z6d9pyvn4+PjNvw6L/f391HanS5vu7LWd6dn0prWZEyl9wYn1+fpHUWSViqZj6d78SS+6R43je86\n",
       "L9M5chf31LT9kzHVSdeC67RPzuVrnR2D0zXt5F1bajKmqnQ9vru7OxbXZO04PUeenLe6uKukLN0+\n",
       "ZHIfnTrd19L78K+S9ts0/OHh4YfPntzDdnn77Hueybnw5Nyx1tuynd4LnPwm9JV3UKfLmcyh0zY4\n",
       "eX+d9vvd83W+nq4Fp7+NJmnv+BfIAAAAAAAAAKy1fEAGAAAAAAAA4JUPyAAAAAAAAACstXxABgAA\n",
       "AAAAAOCVD8gAAAAAAAAArLXWuvz5z39+2T1wd3e3jeD29vbN38/Pz9vnX15+nNwu7CNpd/GdTLsr\n",
       "587lctn+XXV5q3nZPX+yzlJdXDc3+/+fob6/q7curvpuWse7+Lq0077TPb9LL02r64uJaXtP0urK\n",
       "kY65k3PHpNxpe6Z9cRd/Oqaenp6i56ukXru46rz3lfNal7ekP3RpnSxX1eWza+8kvtP9PBm/J/tl\n",
       "93w6307bd7JOnexb6XitPrOfT8fYdb1O9sNr/XH/3bXZ4+PjT6eVPl/Dd3nr2judO3bxpXvYtC/u\n",
       "ypn2267cu/5zeu74zL3fdK+X9N10zJ3ch073ndf9pytHWs5J+9a4urRPnjPTfJ8s53QvUPvWLr7p\n",
       "WlHt0qphk/uM997fpd3dKU3TTsOv7dbPtf7Ynt3ckayJk7VgrbXu7++34YnJ/mo6ZtK5JslLeoat\n",
       "ahvt8pbODZP7kpNr2Ht5mcyp/8g7qJP3H2n7TM/L1++fPPe993d1ct95UtrPJ3vetJwn92PpffTJ\n",
       "8/L0/Jus7+naPem39f2uHF2dVpNvCLXOTt5vTNe89LyU7OW79urmyJP9+jPbYPotJFlDT99f7vgX\n",
       "yAAAAAAAAACstXxABgAAAAAAAOCVD8gAAAAAAAAArLV8QAYAAAAAAADglQ/IAAAAAAAAAKy11rr8\n",
       "y7/8y8vugbu7u20Ev/zyy5u/n5+ft88/Pj7+MKy+e7lctnE9PT1tw7v3d2l3bm72395vb29/GPby\n",
       "8rbK07Qn8XX5Tuosfb4rZy1HZ1eWXf2/926XdlfO67J1z6bl7Ootae/TfW3XBmlf2s0NaVrTNqjv\n",
       "7+rt9NyRpHW6r51szy7tJG/deD7d13Z5q3np2jOZc7s6SfvayTaYSsZo2q8n4yCZ09bq26DuSyZj\n",
       "qva1tJ9X12VN1+OuryTlnK63yfycOhlXJ9lXrDXbd9Z+eXo/titLOg91edvVQw1L+1KXt8mz6X5s\n",
       "V8767nRM1bNe19d2urNZKhmTJ9tzegZN47su53Rtvr+/j9LepZf227ReJn0tjSvpS9O9Xa3TybhI\n",
       "62jX3ulacFLXD9P5OzHZ979nci5J91fp/D7ZX9dyJWl3z55ug11Z0nuetD2Tc0UX1+SeJ017so9M\n",
       "pfuUnXQdSue1k2fSuv52z1fXee/WjbTfTtbIdB16eHjYhid5S+fIdH3ehU3PEUnf7fptei+QrKHT\n",
       "fWdSzvS+a9KeVXr27sK755M2mO47r/MyzdfJ/Ve6r0i/V+3myen5OImv7nFO3tutdXZ9nrS/f4EM\n",
       "AAAAAAAAwFrLB2QAAAAAAAAAXvmADAAAAAAAAMBaywdkAAAAAAAAAF5d/ut//a/bX5b+9ddftxH8\n",
       "8ssvb/7+29/+tn3+r3/96w/D6rsPDw/buNIfe9/9wHb3Q+PV9EfOk7S78CStVPdj3V0bXIcnP/z+\n",
       "ntp+d3d3P3x2mu/0+esfGk/q5D21Hr6yr6U/NL/7gfW0X09+GL7WQffD8Gkb7Z5P62wiyddH0v7M\n",
       "vHVx7+bjtd72j2k50v6RpDWd167rbdoeaf/YhddydXF19ZDOuTtd30nUfE/mobWyNkj7bTJmOt2z\n",
       "9/f3H46rU/N9et6ajJual+l+6rpev3rM7OJL5+d0/j45p07qLa2zbrzXvE3OEenasavTWs407arm\n",
       "JT0TfaaT89rJuaO+Oz2rXb8/bc+0ryVO943P3IdO0prGldRTuu+Y7KfSNS+th8l5Ke1bXb0le8XT\n",
       "Y+pkX0vbe5d2VyeTuWN6x3DyLJ+eh1K7vKX5PlnO6d4uGYPp3D1Zh2q+urR3d4RrZeeSdD2erh3J\n",
       "epDO35O5Ju1rnSS+k3PgWmfPEZ2kDdL760kbpPc8J+slXSum89bJu7baRpPvODWu6b7iupzTvfrJ\n",
       "NfT03JHsFbq0Hh8fo+eT+fnkfWUn3V915ajfeN/E9fFsAQAAAAAAAPAfmQ/IAAAAAAAAAKy1fEAG\n",
       "AAAAAAAA4JUPyAAAAAAAAACstXxABgAAAAAAAOCVD8gAAAAAAAAArLV8QAYAAAAAAADglQ/IAAAA\n",
       "AAAAAKy11rr8t//23152D/zn//yftxH867/+65u//8f/+B/b5//7f//vPwz7n//zf775+9///d+3\n",
       "cT08PGzDq8vl8sOwl5dtNfwhvHv+5ubH3+Z3+fiZ55+fnz8cV1rOx8fH7fO7cq611t3d3d//O8nn\n",
       "e2o97Orl9vZ2G9fT01OUdldv17r26uKqeZ+UpbZf1wan++ZOzUvXl3b1UONK+3kX367eJnXwnl05\n",
       "k364Vt4Xd8+fjGutfm5J4pqGV0k9d2Mq6YvT8VnH0GQuqv0wHTNVzUs33hNd3ib9upq2dxJXNV1b\n",
       "ruu8i+tk+6fz88l1KF0LJuvQWm/LOt3z1LxM+t7JueG9vCRpV7VOu/3ZLq1arq69Tq7fXZ3VcnXl\n",
       "nOxxq3TvsIs/PZOk++0qmbc69f1d3tI6656/Pg+95zpvkzPmeyZj6uQ89F74rizpPNTV8al8vfd8\n",
       "Gp48W8s52fOmc8fpM05iuu88mdZn7mG7cnThtU1PtllyDzRNNx2Dk7mjSufIXdon+0an1vl0Xkri\n",
       "Oz0+k3Vosn9aa7ZWVOn9x8mzWrrv7Ob/ZH89zVsSX9eX0n3mLq20b5zs56fXoaQ9p3ueLv4krnRM\n",
       "JfvSdD2t0nGQ9Kfp3v/6/e7Z9E5xsq6l4zM9Z0zu6Wu5JvcGp+9a7u/v3/y960td+/zyyy/buKvv\n",
       "37//OK3tmwAAAAAAAAD8f8MHZAAAAAAAAADWWj4gAwAAAAAAAPDKB2QAAAAAAAAA1lo+IAMAAAAA\n",
       "AADw6q574JdfftmGf//+/c3f/+k//aft8//rf/2vH4Y9PT29+fvubp+9h4eHbfjz8/M2/o+GrbXW\n",
       "y8vLm78fHx+3z18ulw/HtXt2rT+WowvfxdelVXXtX8uyc3t7uw3v8lbDd/WS9o2ur6X1lqRd1b54\n",
       "c7P//zx24TXs/v5+G1fXnrXfJ+3f6eLa1Vttny6urj1rX03qOE2r2uW91n+XdqeWM5m3qmS+/Uh8\n",
       "H83XR8LTtHfhNa2uDbrxfv3+6bWgy9tuTk7HVKf2h13/ODnfrtXP79e6Oj7dFyd5qbo1NmnDdK6f\n",
       "zJFV2s93eevqJE27c13WrtzdHHmy/WtepuVM+nnXd7p6qHb1WvN1ch3q0k7XyMnebvLse+p439Vb\n",
       "Ws6T++vp3q6+vxsz6T4hTbu6fj89J1TJuXCtWT1Uab9O9vZdXJP1N93zpGvi7vmTca21r9Ma1q2R\n",
       "6VoxmSNrG6Ttv9OV4yv3CjXfXdppG+3y1s3HtY2SM+50HTo5p57ePyfxne7nu/Car+5+spO0YVfO\n",
       "WqeTOk7W7i6u98J34yJtz64Ov/L+I937J/dAyf3GR0z2ArU/TNbvur/q+lpyx9BJz42Tc0T6bSOd\n",
       "UyffI07fQV234fTeLp2/d/Gle9gubyf7Yno23z1/ch/5nl250/3V6TvInbQvJn2pi6tr3124f4EM\n",
       "AAAAAAAAwFrLB2QAAAAAAAAAXvmADAAAAJ65WasAACAASURBVAAAAMBaywdkAAAAAAAAAF75gAwA\n",
       "AAAAAADAWmuty3/5L//lZffAr7/+uo3g27dvb/7+/ffft8//9a9//WHY8/Pzm7+fnp62cXXhl8vl\n",
       "zd+Pj48fTjsNr15ettX6xt3d3bG41lrr5ubH/19ArZMurfT5ia9Ma1dH77m9vd2GJ3nb9cO1+n6d\n",
       "pF3rNC13VcfBrl66OuviTsOvdX0pzUtSx52ur+ziq++mddzFt0t72neqpD27Z6ftnaRX67zLWzI3\n",
       "dOXowuvc0aW9W3vSOu2er/1nl7eTc+B7aSfvps/X8MncUcPTtKvJGJ68W9e8tK98pnRv17nO+7S9\n",
       "ps/vTNsgmR/S8dyta0l8XTnStWXXBmn7dOXc5T2d61Mn562TfSldA7v3d+2fzqdd3k7uY7q+U9N6\n",
       "eHjYPr9ro7pP6Orl5J4o1aU93TNfS8/uuzpO+8bJOj69b9jlLV1vp3vi6/CuHF85h6a6ctZ+PVmn\n",
       "kj1sGne675jsz5Izx0ck9wLpmjdZG07fCyTl7NR30/X5Wi3XdDyfLGfVrQ0n98/p/rqrt+QO+fT5\n",
       "aScdI5M75XTuOHn/kc7Pk/Ny2n7pmNvFP+mH70n6x2felXRpT3XlPJn3mtbJu5vp3PGZ3wS6OXVX\n",
       "zrT+T/bFtJyTs7l/gQwAAAAAAADAWssHZAAAAAAAAABe+YAMAAAAAAAAwFrLB2QAAAAAAAAAXl3+\n",
       "9V//dfvrzb/88ss2gvv7+zd/Pz4+bp/f/ej177///uFn18p/zP2kSdz13ekPaNf3dz963dVpDe/y\n",
       "lvygevdsF57UW/oj5tMfuE/KmbZB92PuH83XZ0h+xL6qeTs5Xic/DP9eXnZtkKaVjJkqHZ/p+N09\n",
       "n/braXve3t7+/b+7Ou7GyD9yLUjmlq6c3XhL1oKPpHdtWsd3d3cfTuu67T+S1mQeqqZ1VvOyy9t0\n",
       "3ZlI545JP6/tOV0ja1/cPd/1pS68ms65P/vsWrP+0u3N07ROrh21DSbzYDo3pHuk3fNdeyZzw1r7\n",
       "ekv7wslydh4eHqLnk7JM5+dkXpueWapuDf3M/fpk/U73sCfXtckYSaXlTOPbSeeOk3cQp8/mkzuI\n",
       "NO3k/NWNgbS9J/0j7WvpvmPSBvXd5A6i3gmmaSdn77X254q0jru81bR2z3/lvPXVY+pa2i8n91np\n",
       "PjEdU7t9S1pn03uB5FyStn+61lyrYyA9q3fhkzGVStbQ6d4sXXN3aj185beQk+fl7kxa05qeva/r\n",
       "bRpXrfPJODjZN9bKvkekc2hXL7v5/fT3pZN3EPXd7r5yF1+tg9P39CfvFLv234X7F8gAAAAAAAAA\n",
       "rLV8QAYAAAAAAADglQ/IAAAAAAAAAKy1fEAGAAAAAAAA4JUPyAAAAAAAAACstXxABgAAAAAAAOCV\n",
       "D8gAAAAAAAAArLV8QAYAAAAAAADg1eVf/uVfXnYP3N3dbSOo4U9PT9vnHx8ffxhW33152WatDb9c\n",
       "LtHzO7WcNzf7b++7tGo5b29vt3HVclTPz8/bvz+ar+7d93T1kKSdprVLOy1H1wZd+HWbTss5fX8X\n",
       "V1cvXdpJG3T9Nn0+bdNJWmned2q+vzLtbnyeTCudv5O0u2e7dafmZVLuGldXzun8fu3kGOikddT1\n",
       "tSTvXdo1rcmYqn3nK+u4k+blK8dcosY1XYeSvKVr2tR13rq4u3krlazHXRuk89Yuvi6tdI1Mynmy\n",
       "L3Vpp+Xs7PJe8/2V+6evrNO1snFyejzvpHV6ck7t1LxNz9PXunJ0c0eyfp9ej3dppXu7Lm/pGN2p\n",
       "dTpZQ9P9Uyc9Z+6k54jJXUwqbc9d3tJydk72tarL2/X9WJduF1e6J9rFl9bpV+4FPnP9no6Jk2Om\n",
       "mqwd6fycns13eTu9l0/Gye7efK0+byfn+7RvpPWy++bQ5bvWU5f2V56Haxske/vTedmZ3uOcPJvX\n",
       "9pym3e1Lk7hOnjPruyf3NNO705PrVDp3pHu/z1y3qq/cXyXPf+U9gH+BDAAAAAAAAMBaywdkAAAA\n",
       "AAAAAF75gAwAAAAAAADAWssHZAAAAAAAAABe+YAMAAAAAAAAwFprrcuf//znl0kEt7e3b/5+enra\n",
       "Pr8Lv7+/f/P3y8s+a11aVc3rtcvlsn235uX5+Xn7/C6+GleXdhde89I9f1LXRte6fN3c7P9/hprW\n",
       "Lu0uXzUvXdqJrpxdv03qdK0s72lfqk629248vmeXt3R8dnVW857ONbu4JuOz5judtzpdvSXvTue1\n",
       "6/DpnHay3tK+cHI+7tozbe8krnS8dvHt+lq6VkzGZ81XOjd0ds+n83HXvsm+pCtnDZ/sx9I9T7oe\n",
       "n5yf031IdXd39/f/nuwT1/pjuSbjO+236R5q93za3pP1+/R4fnh4+HDeurTqHHpy3zmdG6pd3tK+\n",
       "NBmfVVdn6ZhL9pWd6bx2/f7j42OUdvXt27c3f0/m73Rvd7Jfd3HVfE/OMCfX9vfSSu4FurRO7gWn\n",
       "7ZnsU07fTyT1MD2TpOeIZI+btn+S1lQynqd3CDWtyXxfw9I9bxffZO1I7wV28aXz7em5JnFy/E/3\n",
       "6um5ZCfpG++lXX3lnWS12wvUuKb3Ask4ON2eydm828NO732vdX2n1nnXBsk8Ne13yZn19B1xJ9lT\n",
       "p2e5zslzRie5Oz2d9lfur5O00zE12Y+lZ5LOyTF68i7Ov0AGAAAAAAAAYK3lAzIAAAAAAAAAr3xA\n",
       "BgAAAAAAAGCt5QMyAAAAAAAAAK98QAYAAAAAAABgrbXW5fv37y+7B25u9t+Yb29vowSfnp5+GPb8\n",
       "/Pzm78vlso3r5WWb9TbviRpXl3YSVy131dVDDZ/krb7bxdXl7bqs0/as4bu+1Lm7u9v+nbrOS5ev\n",
       "tD27/jFJq0rbexd/l++aVprXa3Ue6srx8PCwDa953/WPdJ5J6+WjYT+j5n1XznR8JnPDVJe3WueT\n",
       "taP2tW68d+19nda0fU+uU7Vc6bxVJf3j9NxxctxM6+Famq9/5Jj6yv1W1/41fJd2V2fp2jHZd1Tp\n",
       "mtfVcbJX6J7t9vY1L7uypPPzxMl9xVrZ2pGmNZlLHh8fP5yvj6SVtOfpM8nJOTOdU3d9rxsD6Zm1\n",
       "Cz85Dmp7TuaO9EySzpG7eunyfXINre092au/l9bJvf1kz5OM9S6u9yT3PFXNWzcGkzaoc2aqptX1\n",
       "zWQOnd4DJXNHV2e1zpO9XTf2J3U2ff4r67grZ3oPuFPrfLre1vD0nvdaevbe9Z+aj+nckDx/cl+R\n",
       "xjc99yX3dmtl9TAdM8kamc4NJ+9Op22QtHc63tLz8rX03J7uv3dlSdvn5BlnuhakdvPa6b52/f7p\n",
       "vd3p89dEMk7SdWfS12rfmu6Jkr3Cyfm2C/cvkAEAAAAAAABYa/mADAAAAAAAAMArH5ABAAAAAAAA\n",
       "WGv5gAwAAAAAAADAq8uf/vSno794nf4g+1fa/Rh0+mPundM/wL5Ty7UrZ/ej4zV8Wo7k/cfHxyju\n",
       "kz/WnvwYe2f6I/Ppj5zv6riGde3R/dh7okurlqsbg7u5pbZfF9ekTlPJ+FxrX84a1o2ZtJz39/c/\n",
       "HVet82kdX8fXrSvpmJusU2m/7SR5mfbrSdqn1/bJelzf7ebvZI7spONgV2/pXJCmPVHrZbI21HJ0\n",
       "dZ62yaTc6RrZpZXkPa2HyZ6ntkFXjm5tqXlL1ueq9q3J+puWs1PrfJe3dHye3Gd0cXXzd7J+d+U8\n",
       "uZ/+SHrX0nJO2rM62Z5pOdLwKinrdG+XjNH0HDEZB+le/eR+K113JnvBdM3rJGvByf3Te2mn6e3S\n",
       "rmpeJnvidHym5dzt19J9R/L8tC+l58iddP/U7XGTtePu7m4bVzrX7KT9sHv+5B4qLeeuDeq+Ynov\n",
       "UNPalTM9q3V52921VNM97MlzRPpuel7a7R3Tejh5ZzHdC5yc106uHeldSlqnk3ue9N6gc53edN+Q\n",
       "7jt3kjFwWvpNYDIXpeWazu/Xunx/5rePyZ3/e05+++rKvesf/7xfewEAAAAAAAD4Uj4gAwAAAAAA\n",
       "ALDW8gEZAAAAAAAAgFc+IAMAAAAAAACw1vIBGQAAAAAAAIBXPiADAAAAAAAAsNbyARkAAAAAAACA\n",
       "Vz4gAwAAAAAAALDWWuvy7du3l90DNzf7b8x3d3dv/n552Ua3Da9hXdqpy+Xy4bS78C5vu/jScnV5\n",
       "q56fn6Pnr+3q6D23t7cffvbp6elo2jtdHdQ67crRhV/H15Wja8+0/XbxdXVepfWwy+vpfp6MqUlc\n",
       "a/2xXLvnu/ZOxshaWZt1ddzlbTJXdHGdzNt0TKVpJ+9O6/j6/a4caT10fW/XRrUfduU4Od67tGq5\n",
       "unp7fHz8cFzTdai+n/bNiZNrS9rPk3o73c8ncaX99uQ+pZvrazknaZ+eI2t8u76V9p3JmKlxTfbq\n",
       "78U3kbbnpE5TNb7d2tHVWbrv7Jw8Z9S8f2Vf69rsOu/dXH16Pd49X9M6uRastW+zdHxO9uNpXKnJ\n",
       "eD65j0jON2v98Z7nM51ep67L2s0N3Zi5v7//Ydw/E9+16Zk1ef70+L2uh+mZ8uQYrHlJzmLvSe4B\n",
       "07UgvbPaxdU5+Xy6h5mskcme8yN5O7nvTMuZrO/TPerJ9Tvd86R2aU/GSPp8Lde0PZMxl+wT15r1\n",
       "j1qu02tD8s2nM71ru05vulevJmeetA06yfeI3d1Yjesj8e3q9fR+uprcKZ68a0nXgjS+XTnrHnUS\n",
       "V8e/QAYAAAAAAABgreUDMgAAAAAAAACvfEAGAAAAAAAAYK3lAzIAAAAAAAAAr3xABgAAAAAAAGCt\n",
       "tdblT3/608vugefn5yjCm5v9N+nL5fLDsJeXt1np0t7F9V747vkurmqStzStWi8TXVxpWl17X+vK\n",
       "3aVd63yX9u3tbZRWV46k3qbtdbovJnGnbbRLu6vTGv7w8LB9PolrqpZzMp5rXE9PTz+dr9qvu37e\n",
       "9Y10HCTSfjzR1Wmthy5vd3d3H047XSOr6zY4veYlaVe1b3V568Jr35r0tbQ9d2rf6ebvbsx9pi5v\n",
       "0zV2F1f37q4907ZP9wKTMVjL2c0lXR1fl60rR7fm1XqajP/T+4o0b4lJXGlfmKzH1f39ffR82s93\n",
       "Jmevj+RlElf3/MlypuvKLu3pXJCktdbnnqdOpj1dh2pau/jSvjPZ2z0+Pn44Xz/jZHzTNfRael6u\n",
       "kruWWsddXNO8JWfzyR5narq/rnb11p1v6rz3lfPWyTNMuodNw5PzU2c6p55MK12/d9L91a6v1X7b\n",
       "9bturqnlnJztah11Y2x6b5DEdbI9T5+XknvddM2bzFsnz79p3k6ut118ad9I23OXdnLP1sWVhk/n\n",
       "27QNduOkvju9B7w2rbN0P7aTznnpOWISV5q3Xb0lY2Ct/t6glnMyd5wsp3+BDAAAAAAAAMBaywdk\n",
       "AAAAAAAAAF75gAwAAAAAAADAWssHZAAAAAAAAABe+YAMAAAAAAAAwFprrcv3799fJhHc3t6++fvl\n",
       "ZR/dLvxyuURx1ee78Kenpx8+e3Oz/5ZewyflPK3m7fn5+YfPdnVW4+rqJSnntM5q+C5vXb6rXZ19\n",
       "RFev107nbdevT/fDZIym4zN9/trj4+Obv6f9Nh3vSVydXXufzNdaf+w7k/jqWtBJ0pqOz6rL666v\n",
       "ney3a72th9PlTNe1nd08s1a+Xu+eT8fnybkjTbuqbbhL+/Q+ImnPNO6Tc+DpvUCSdhc+nVOv23ta\n",
       "jtqX0rXkR/n6DLu8ne7nk31H1c25Nb7d2tHNkcnc0En7xslxkLbn6bPcqWfXOlvO6b4zmTvSs1wn\n",
       "qYdpOWt4sued5m03fuu7Dw8P27i68X6y36btmZwLkz3qR9zd3UXPTyR75q6c6f47PfPspHuB9P1r\n",
       "6XybpH1yLq9xp2o/nO7taj38I+/5rk3a6yPxnXp2rXy/dS3dV3TzUBJfOtdP7hiqyb5/rbzfJnv5\n",
       "03uByXk5/YaQSPf2Ve2LJ+8FJmPq5D7xvfBp302cXt8naU3STu+Ydqb7ynQMJXui6Z3iybkjtau3\n",
       "2j5dOdMzy+SbTzp37PgXyAAAAAAAAACstXxABgAAAAAAAOCVD8gAAAAAAAAArLV8QAYAAAAAAADg\n",
       "1eW3334b/bJ0+kPiO6d/fD35ge30x9e755Mf7O5+YDv9EfSTbXLyB9a7H+tOy7mLr0vr7u5u+3fV\n",
       "lfM679Mfa09/1HxSD9XJcZCO367edvElfeMj6vuTNr29vX3zd1rHu3enfa3W224uSuu0lrtK5tDp\n",
       "nJaUM9W1QRI+XfNqPT0+PkbPX6t56dqzq9Okr6brTvd8MqY66dq/K3cXV1fnqcmY6sb/rv2TOlkr\n",
       "L/cuvumYqpI26+qsC0/2sJ303bTeJvuQ0+t3Ik1rVy9pXJP1u7Zn115d+9fxe/K8NF0jr8dUl3Z6\n",
       "jtjV2zTfE9MxkK6Ru3pL90tpG+2eT+eOyRyZrlOf2f6dyXnpdDnr+XnSl07vS5K4T6/HSVmSO4bP\n",
       "NtlfT/N58oz72XueiXSNTPJ28n7yZ55P8lIl54h0ra/Se92dmrfp+n2d9+48lM5bJ+91Oyfn866c\n",
       "6V1bcs6crh3J82n9p+2/092Fp2lN7j/+kd82Osl5KdW1V9IG0zGQns13eU/XvH/k+J205+lyJuve\n",
       "6buT7R3x0ZQAAAAAAAAA+H+WD8gAAAAAAAAArLV8QAYAAAAAAADglQ/IAAAAAAAAAKy1fEAGAAAA\n",
       "AAAA4NXl119/fdk98PKyDf6Dm5v9N+ld+OVyidJ+enoa5WWXdlXzktbLtZqvJJ/veX5+fvP37e3t\n",
       "D5/tytmFV0k91Hym4bWe0ryeevc913nr6qQr50npmErt4kvLebI9u7S7eqjhu7x1caXjfRdfkq+P\n",
       "OB1fIplz0zruwif9I62zpL2n83Mt16TealqTtT3NW9o+kzX09DyVzLHds2kbdGXp9ky7tNO87sIm\n",
       "c+BHwpNna511dbjbX62VzaFdPdS40vE/kbb3ZI1M59ST+5h0zduNoZN9Y61sHep0eat9Z9Ke6dyR\n",
       "zFvpmKnq+6f3xDsnz0tpOSdz7mfv5Sd9LX1+l1Z6xjy5T+nSqvPOZN95ep9fy5nsMzrTvcJ1Wb/y\n",
       "/NtJ5tu18nqY7AWSO6W1sv13mq/JfJ+OmTQvk/U5PbPs4jt9z5OM37RfTvp5GtfJfWSa1sk5cHoe\n",
       "Sueabrwn0nrYtX+63k724+ldSic5A5/+HnF3d/fDsJqPrr2+8lx4et95Hd/pvd1kTNWw6Xif3PNU\n",
       "NW9fOa+dfH96d1Yl/Xp6L1fb4OR95+Sc6V8gAwAAAAAAALDW8gEZAAAAAAAAgFc+IAMAAAAAAACw\n",
       "1vIBGQAAAAAAAIBXPiADAAAAAAAAsNbyARkAAAAAAACAVz4gAwAAAAAAALDW8gEZAAAAAAAAgFeX\n",
       "X3/99WX3wN3d3TaC5+fnN3+/vGyj24ZfLpftu+nzaXwn7dK+uXn73b6rs059f1LH9d2TdVz7ytSk\n",
       "fWsb1L+rJO9dXJ2aVhffrr1r2LQNap1P2iDt97u0alhXzsk8leTrvbgmfe30HHl/f//m76enpyj+\n",
       "ncfHx214V8e3t7d//++0jjtdOXfpdWtidV2O91zXU5ev6VqRqP10OqZqPezqOJ2nvnKt78pZ622S\n",
       "t3QtSOqt65dpGyR9s3v25DyXrsfTNfK6bNN1Jh2Du7Kma3eat520PU/uFU+vHck+pEurG4Mn1+O0\n",
       "Tif72PQc8fDw8NNpVV2+k3Kl9d+V82Tak3PBe75y35mcS9J+OKmXdL3tJPV2ep7aqX2rK+fJe4M0\n",
       "rpPlPn1nNNnbdeejKu3XX1lvSbppX5vsBdL2SfelJ9fIk89P950n73nqXHNyDE7PQyfvTmv4yb1/\n",
       "txfo9pGppB6m+61kze3aM+1rO+nYPjmmunKm312S/jFdN5L+0aWVlrMz3c9NJPvrk2eY6V3LyTNo\n",
       "2n4n9wony/Fe2h8Ne0863ndO3tt08fkXyAAAAAAAAACstXxABgAAAAAAAOCVD8gAAAAAAAAArLV8\n",
       "QAYAAAAAAADglQ/IAAAAAAAAAKy11rp8//79ZRLBy8vb1y+Xyz7BTfjNzdvv2TXuJK611np+fv7w\n",
       "811cqV18T09PUVy1Xrq0ark/mq/3wrvnu7Jcvz9tz/r+rl7u7u6iuHZ11qVVJXXyEWm97N7tytm1\n",
       "UVIPqUn/qPl6fHz86bjW+mM9TcZUOq8l7TnpG+nzt7e323drOadzateGk7S6etmN4dNrxXVe0r7U\n",
       "6Z7fhad9p5tbantO6jHta8mYmozP9/KWpN2Fd2tL1wbX8aX7irQ/7PI1HUPJPNjNW6mujhNpnZ7c\n",
       "W0zX8iStdN/Rtdluf1fnmWRMfMRkHHymdDxXyVnudL/tXJft9B520p4n58j34tuZrO1p2un8ne6v\n",
       "Tz27Vt8Gu/jSeahzsn+c7LdVF1daD5O5I+1ryX7tK8dnGtfpfedkzq1569o/qdeTZ++1sr45vYNK\n",
       "9p1pe07mrVoH0/k5vU/5KqfvzqpdHZ9ehzpJ3k/vSZO78umcWOepyXm5joPJeE/n5/ScMam3mtbk\n",
       "3jats85n7nk6ydlguhakedutxzXf031nUs5peHXyDJP268l9Zno/+c+6/07bc3Kf5V8gAwAAAAAA\n",
       "ALDW8gEZAAAAAAAAgFc+IAMAAAAAAACw1vIBGQAAAAAAAIBXl99++237i8vpD71Pfgy6ptX9uHP6\n",
       "A9yTH4uucaU/oL7LR5ev9AfVd22W1tn0B9aT/pP+YPqu3rpy1jqd/mD6dXg6ZjpPT08fTrsLm7ZX\n",
       "rbddfF2/rmml7b97d9qe1S6+NK7OLr6k/tfqx0EyJ6b9Op1rduFd2l05TvaPdJ1K+se039b+kY7B\n",
       "a3d3d9t3q5P1kJrMuXV+PZ3PXd5OzrcfiS8pW5r2LrzW8XSNrO9P5ue0vU+O5+m8lsR3cs07Ld0T\n",
       "79R+281jXb08PDxs40/iqibzc6pbj5Mx1anjvUu72+Ne19N0jkvKlZ5B07NadV0PXTm6fl3zPqmX\n",
       "dK/e1UNyLjm9l0/G73TtqG2wGwddnT0+Pr75e7K2nLwb+UhekmdP3zklz6Z9KZ1Td2l95Xp7es9z\n",
       "HT4996X1MLnvqk6eYab1kEjHb7q27NbnNK6Te97p2pD0j26PUvNysv1Pz1sn145/5DmhSvcpJ+/a\n",
       "Osl+7Kv3nUnanWRMpeWctsH1+9Nz4cl1Kk375Dp0ekzt4js9d3xmPUza4ORZ+rNNxrt/gQwAAAAA\n",
       "AADAWssHZAAAAAAAAABe+YAMAAAAAAAAwFrLB2QAAAAAAAAAXvmADAAAAAAAAMBaa63Lr7/++rJ7\n",
       "4OZm/435+fk5S/By+XDYy8s2a9u41vpj3nfxdWnVcnZp397e/jCse3f6/E7XXl09pK7boIu7C6/t\n",
       "uavjtD2nfe06L9Mx8/T0FKXdpXctrZfu/Ul/Scf7TlIH76Xd2eWtiyudO2r77949PT/v4uvyXeto\n",
       "Om9d10PXN+7u7rbh9f3JPFjbp2uDJG9dXGkbTObck2v7Wn+sh138n7kOdWml5a7qurSrl4eHh2Nx\n",
       "rdXn/boN0r4xXTsSaT/fte9un/BeXF05uvDrvHflOLm2r5XtcadjLFm/p/urardGprr+UU3Kma6R\n",
       "J/f+J8dU1y9r+0z7WnKO6NT2/sp+O52/EyfX0HTuONlv07E+mVNrWDLXf8Tu+XQe6vYOu3pLztKn\n",
       "nb5rSdo7nQM7k/Fc353uO5K8d/N32h+u+9p0zNS8Tdr/9DkiGe/dvFXr6eQYPL232zl9TkzGzDSt\n",
       "anLPU6V79+q6Hqb3ArVvpX3z2ulzRCLdX0/mufR+chqeOLkfq3XU3Vel43dS7tpPu7kmmUOne/GT\n",
       "bVDrvIsrGb/Ttb7Ww8k759P3I5P7zM+c107PkZMza1JnHf8CGQAAAAAAAIC1lg/IAAAAAAAAALzy\n",
       "ARkAAAAAAACAtZYPyAAAAAAAAAC88gEZAAAAAAAAgLWWD8gAAAAAAAAAvPIBGQAAAAAAAIC1lg/I\n",
       "AAAAAAAAALy6fPv27WX7wOWyjeDm5u036Ofn55/OzO3tbZR2l9bLy7Zo0bO1nPXvqst78myXt1oP\n",
       "u/i6fNe0urRrm3XxTSR569Kt4d++fds+n7RR2l5deNdmiWl7JH2t6xs1rpN9pdPlLZGO30n/SPOd\n",
       "joNdX0vjms5r1+93YyaZb6eSOnvv+Yl0fU3Xtc/09PT05u/JGKztPelrtQ66Oqvl6OzqOO3X035+\n",
       "Xbbp+Kx28aXlSMfUrh5Pz8+Jro+n7TnZX0/TrpL1O93zdJK+1rm7u4uen+w70/PSLr7at9L1uUrq\n",
       "bZpWlZwjpue+ZM07fV7qXLfB9BxR897V8S788fFx+3eVjsHd86f3PLtynlzz0vhPr8cn9zxp3iZr\n",
       "SxpXtx+7Luu0jtN6S6TjuTp5BprsS7r26OahtI539XayX671x3lvV5b0/vLkeejkOtTFl+7tunrZ\n",
       "1UN6R9ytUzVvu7Kc3Cd+JL7k/uP0mXWSVvp8cjbs2js9Z+7q9eQ89N77k3uBdG+3q4ear66vnLwH\n",
       "/Oz7zIl0rZjcpZ2++75uw64vpW0wubv5zHPhWvu+27XPZ95BTPfXtVy7cn7lPb1/gQwAAAAAAADA\n",
       "WssHZAAAAAAAAABe+YAMAAAAAAAAwFrLB2QAAAAAAAAAXvmADAAAAAAAAMBaa63Lb7/99rJ94HLZ\n",
       "RvDy8rL9u7q5+fg366enp214l7ckrS7f6fO7vN3e3n742Y+EV7tyPz8/b9+t5eqeT6R9qbMrZxdX\n",
       "LVdax7u8dGmn4ZP+kYyBtdZ6eHjYhid9N23vtG9eq+Xsyt2l9Y+cOxJdHafjd5e3dIxMx0HSBmne\n",
       "unpJ4pvOkddpTefIGp6O/2u1XJM1L32+y/fJtB4fH9/8fXJu6KRpTeeO6/n7K+eOWo7Te4HJ+l3f\n",
       "7dLu9qXXZa3rZXV6P5bUw93dXZR2Veth93wXV83LdP1O0u6cXAtO9uvTYyTZd6b9cLq/Tsr6leeI\n",
       "dL3t5oNpPV07uc9M407Xlske6vS+nso9qAAAIABJREFU9Np0H5LM32mdTfYh6bvdmpeMgzTt6f76\n",
       "+v3p3i49Z56ct9J7gPv7+x8+m7Znso9J465qWtNz5LXp/unk/Jz2664NkrhPjsHTd8Q7ab5Prg2n\n",
       "91vJ3DGdA0+eWU+251rZXvGz97y7d0/vpybxpfvrk/f4nTr/T+6Ia/h0bbk+Z07Pv2mdJnNRV87E\n",
       "6TuIr3Ryve2k953JufHkfcZpk++s/gUyAAAAAAAAAGstH5ABAAAAAAAAeOUDMgAAAAAAAABrLR+Q\n",
       "AQAAAAAAAHjlAzIAAAAAAAAAa621Lr/99tvL7oGXl23wur29jRLcxff8/BzF1blcLh9OO3Vz8/Pf\n",
       "3mu+Ol2+a73tnu/yXcMn5ax56cp9sn26tGp42ia7+Lp+3JWz5uXp6WkU37WuPdM22NVbl1Z9d1pv\n",
       "iZPlTOfAyTxX+0IXV5e3k+MgrdNkHKTjuar1NGmDWqddP+/Senx8/Pt/39/fb59N59Cujnfhp9uz\n",
       "2pUlnSPTdW3nuj3ek+ZtElfab7u0r+uhmxtqnXXr0HQNnZjsK2s9pG1SJfNW2p4n5+eunOn6PRnP\n",
       "VdfXEtO5Ianz03vck3V6Mu2unGn7feWYquGTMXV673edl+n4rHnr0k7arKuztF4m/bzWw2RvV9P6\n",
       "Z5q/U0la3Z6nk9xBdO15d3f35u9kT9Ol17XX6TNrEte0byR7xdN3UNfxpWfOqvbFybk/reN0juzO\n",
       "azsn7zOq6V1qUq40rcmdYprWtL0naXeSejh5D7vWbJ9ax+c0b/X9k3vezm6uSueh6TqV+MxzxOTO\n",
       "qEvrs33lWe1keyb7p9T0PiONb1cvNa2610slfXe6L6l2e+aaj5N3DF3aXTnTO8Vd3v0LZAAAAAAA\n",
       "AADWWj4gAwAAAAAAAPDKB2QAAAAAAAAA1lo+IAMAAAAAAADw6vLrr7+Ofq27/mBz92PQux9/rrq4\n",
       "0h+t3z3fxfX09PTm78kPyac/mN39yHXNyyTtWmddOZN6mPxYd43rvb+TfKX99qSuHpIxslb2o/Vd\n",
       "vXRqve3K0v2Ye83LJG9d36nqeK5quXbxp2Mq/ZH7a2kdpWPuZNpdObt6u06va6+0/SfjvavTNK3r\n",
       "cnZxp2ti2jd373Z5O7lOpX1tsk6ldZaG79JO9xFdP+/Cr9NL6+zkniddn7v4dvND2pfu7u624Uk/\n",
       "T+eKXVzv/V11eb+Wjteq9rVd3/vs9Xliuse9ls7fab1M4krLuRvPXftU6d5+p0s7Xdsne4FkDHwk\n",
       "rev+M+3j6ZybrFOTfUWat3RMTc84u7irNK1dvXRx1X4/bYNEGtek79Z307uZ6jrv3fp4ej+WjKnp\n",
       "enxy35mcC99Le/Ls6fNV8mzXnrWv7fap036bxHf6vJQ4ecewVlbO6b1det+ZmMZ1XbbT69DE6Tao\n",
       "dvGl43OS1uTZ9yRnua+8j66m93b1/no33tNyputW+v7PPrtWP68la8V0vU3uIE5+d+nCT94ppfF1\n",
       "9VD3hpO+VOehaXsm3yO+ci3wL5ABAAAAAAAAWGv5gAwAAAAAAADAKx+QAQAAAAAAAFhr+YAMAAAA\n",
       "AAAAwCsfkAEAAAAAAABYa611+fXXX192D7y8bINjNzc//mZ9f38fpZ3mbfd8GteuHGutdblcPpzW\n",
       "8/PzKK0a3sWX2JXjvbSrpF67fCdx3d7ejtKqkjbo0n56eorS7sp9sq91adV6ODmmur62q7darq4N\n",
       "pv06ebbm7eSc+vDwsA1Py7l7PqmTtfpydm10/f7ptaCrl1346fZ8fHz8+393dTJZd1K1XJM6W+uP\n",
       "43dXb2k5uzbYzXvJnPZe2p2TbdLN30la6do9WTtqvqZ1Ut/fleV6fL2nlqvLWzIXpXu3Lq27u7vt\n",
       "8zsn94VrnT8bnIo7nRtOjs80rnQveK2uFek+pLOLr6vTWq4u7a5fX+elG89p39mlPVlX3nOyr6Vp\n",
       "Tea1k3Gtle2h0r3fZG9/eh+ZrKFd2rWffmVfOqkbv9XpvcLJuLrxn+w7T5czuRfo4kr2ndP1Nl2/\n",
       "k3lrKmmzdI38Z9qnJPPg9Fw4SXu656ltsMtrWmfTs/p13tK7l6mkX3flmN5vJ07erab3ApO0qsk5\n",
       "7z27Oq7t19Vheke8a/8ureSc/xHXeTl9pzgZ7+kcmYyp6fhL1+Pd/i49R3ThyThJ+/XJO4gu7a6N\n",
       "6ll/ck//+++/fziujn+BDAAAAAAAAMBaywdkAAAAAAAAAF75gAwAAAAAAADAWssHZAAAAAAAAABe\n",
       "+YAMAAAAAAAAwFrLB2QAAAAAAAAAXvmADAAAAAAAAMBaywdkAAAAAAAAAF5dvn///jKJ4Pn5+W2E\n",
       "l8vPZ6a8O4nrPTc3P/+9vJazs8t7zcfLy74JuvCa1qScNa0u7ZPS9j5Zzk6Xt8+sp2n/uNaVo6vT\n",
       "Og4m5T453tN8pHX69PT003Hd3t6++XvSBjWtbl7q2rPmZVeWLt9p30jmtWm/rbp62+WttufJsX96\n",
       "njkZX9qXqnQNTdJK561JXA8PD9vwx8fHbfzXal/q8tbVcdLe6fg8ubdLy10lfWk3d7+X1qQvVdM5\n",
       "sIZP9jyn99PVV86Dybtde6VjatcGXfsk+4pUek5Iw691+a7juxvvyXzQzb/pOrNrsy6uWg/TNkji\n",
       "SvvaZK+YrgUn66Fzcp2qcdW1vErH1CRv6dy/y3vtC13c6Xqd7J87073Adfh0LUjbIGnv6Vnu5N3N\n",
       "5Dx18r5irb4O7+/vPxxXOp9Xk/1Xlc5bu/DTe7uTd0rp8yfPpMncsNY+b9O+U3Xz4HXZpv2uvp/W\n",
       "yy5suq9M1o6uHuqaN53vT0rS6vpGOtefLGc6Dk7ef0zXyOvw6X3UybWgmvbbZA7t9rjpHcQubyfj\n",
       "WuuPfW3SJvXdbj6f3JV3aXdpTb5HnPxm618gAwAAAAAAALDW8gEZAAAAAAAAgFc+IAMAAAAAAACw\n",
       "1vIBGQAAAAAAAIBXPiADAAAAAAAAsNZa6/LnP//5ZffA8/PzNoIafrlcfjozLy/brPzBzU32/Tt9\n",
       "/lpXD9Xt7e0Pw2oddXXW1UtSb92zX1mnVVrOp6enHz6b9sOuHF181+Hds2lf6uplF1/th9P2qnU+\n",
       "Ge8135N+XsvV1XGa73RumqS9S6u+ezJfa+3nrXQt6HR5vy5r12+78JN9LR1Tu3mqSuuwqnlJ6+Xa\n",
       "6b6W7BW6MZKWc5f3aZ1Xydxycm0/HV8tx6Qvpfk4ud/qpHPD3d3dT8ddTfcdk+dP7zsn4zlNe1ev\n",
       "6ZhJ55qd02nvwms/vL+/38b1/fv3bfi3b9/e/P3rr7/+8Nld2Hvh3Zjp1siHh4cPP9uNucfHxzd/\n",
       "//Wvf/3hs//n//yfKK2//e1vUdrVdTk73ZxX++JkbUj7dbLnWWs2d5wcc3Wsd2l35azx7fLa9Y1k\n",
       "vj2tq+Nk/U37xnSNvM779Gxe3+/m3JNj6uQ46MpZ4/rMNbB7f7I/T+870vuxr9zzJPcCna5OkzGa\n",
       "ns2/8i4lPRcm5/4uL9Oz2HX46XueybnkdF9L7sPT+XtSb6f7bVLO9K7t5N3pVLIX+OxvPpP0ujkw\n",
       "vQv/zHqprvMyuRtZ64/70kne0j3s6fuRJK7PvEtLw2sbnDwvjebIn34TAAAAAAAAgP9QfEAGAAAA\n",
       "AAAAYK3lAzIAAAAAAAAAr3xABgAAAAAAAGCttdbl+/fv219QTn9guXs++fHnkz+Qvdbsh+TTekjy\n",
       "/pU/DJ+mNf0x9+sfmp/+kHj9Mfjd85/ZXl160zpL36/1cu26/k+kfXJMPj8/v/m765u7stR3u3x2\n",
       "9VLf3+UtrbNJHdY6mzrZnif7bRp3OrdM6rG+O83bdd/q4urynY6Dx8fHY3GlJvHVd6dz7sm46vt3\n",
       "d3c/fLarg9N97bq90zFzcm3o4vrK9bu+281LSVrdeE3DJ3vFz5yf19qvqem81j2fjKmujpP5+b2/\n",
       "k7hqne7K0cVX83F/f7+Nq0urhv/yyy8/fLZLK6mztfbr0FpnzxEPDw9v/t71tW4M1Drr6uXXX3/d\n",
       "hn/79u3v/72r/7X6Pexf/vKXN3//27/92/b5v/3tbx9Oa/fsWmv9/vvv2/AaX22T3bOdr9wLpHPL\n",
       "7vnJXJD67LuVXTm/8oxZ89LNQ2nak/5R303X238m12VJ19NdXB+Jbzc/fPZeYNf+07SS59M6S9tg\n",
       "cv9R6yE98+ycvrfdPZ+2V1eOJG9d2t3acfoe/1p6l1bVeW+3F0zPBZNzZnIH+DN29dLV6cl7wNNr\n",
       "3slvH5955zTdJ9a8T9okmW8/ktZ1eFfO0+tx8o2vM62HiZPrd3e+7SR3sV2+ant2c832u+n2TQAA\n",
       "AAAAAAD+v+EDMgAAAAAAAABrLR+QAQAAAAAAAHjlAzIAAAAAAAAAay0fkAEAAAAAAAB4dfn1119f\n",
       "RhFcLm/+fnnZR7cLr3HVv6vb29sob8/Pzx9+tqr5fnp6GuXt2s3N7Dv+4+Pjm793Zbm7u9vG1dVD\n",
       "1bV3El8tx0RS/2ut9fDwMEqvq9drXd5qP+3qeGfy7nuSMZqm3Y2pZPx2/a4bc8m81uW7ptW1/y6t\n",
       "GpbOW13edvXSlbOmNZ3XruPrytmF7/rOe3ZtlK4FSRuk82+XVpf2ZE2c2uUt7TuTee50OWt8Xf9I\n",
       "dOtMUg/dmEjWtLWytaCrk+m8lkjnrSRvJ9v+I2mn89xOVw/T+X1nsn6n4zktxy7+tM5++eWX7fP3\n",
       "9/cfzlcXV1ovu/14V86a7+m8dZ1el3ZXDzV89/y3b9+2cX3//v3N393ergu/Lls3d3Rnlr/+9a9v\n",
       "/v63f/u37fP/+3//7x+G/eUvf3nzd3dWS8N///33n46rvjs5k6Zr3leqfWeyBp7eX9W+uuu76Ro2\n",
       "XeuT95Pxudb8XJLoynHy/mSyJn7l3q2Lr/bDadrJvdLpe56T9wJp+K4sk3ub9+z6XrpXT+9mdvF1\n",
       "4ysd68nz0319LVcX367ekjr7iPTubqeWa3oPeG1yl/KeXd5O96WT313SeWrXl7o6q+eIk/edX7me\n",
       "rpXtiU7f606ePb1eXzu9V5h8j/jMu5Mu7q4eat/57LvZj6blXyADAAAAAAAAsNbyARkAAAAAAACA\n",
       "Vz4gAwAAAAAAALDW8gEZAAAAAAAAgFc+IAMAAAAAAACw1vIBGQAAAAAAAIBXPiADAAAAAAAAsNby\n",
       "ARkAAAAAAACAV5fv37+/7B54edkGr9vb23OZuVy2f1dd3mr4zc2Pv5d3aT0/P0fP78Jrvmrc1S7f\n",
       "78W3e76rs/puWsfVdT105ezCa1q7vtfV2WfqytH1nbu7uyi+k6btfS3Nd9dmk36dPp/MRV17Pj4+\n",
       "vvm7q5fa/tfScqbz1C7+tD2n83cSV9d3np6eovhO9vMurZPS9bjWy7V0zTs53tP2nqzHp/t1tetL\n",
       "aZ2m89bk2Rq+m5fStLp+2oXXekj2W134dJ9yPaZO7p8+kvZObb/d2F/rj+tWZ9dmaV/r5vNdfLWc\n",
       "Xb/99u3bNvzXX3998/f9/f1P5WutP7bfZO04efZa64/9Ydc/Tu6fPuK6rF25u7Tq+7v27PrOL7/8\n",
       "8ubv2le6tHe68deF1/brnv/3f//3H4b95S9/efP377//vo2rC0/y1s1TJ8dUnXemZ6/kbN71tZPj\n",
       "Pd3bdeO9tl/XZkla073/tfSOoUrntWTfOVnz3nv/4eFh+/wkreq6/aflSM6kNe0urtNr5sTJeavq\n",
       "2qCrh2QePH0nsZs7JvPKz+QleTY9qyXjZDLPvJeXyf3o6XJWk/Ny6uTdarp27J4/vQ4l42a6v07m\n",
       "g5P3GWvNv6Ukat7TeTCJO3Vdzq7MXZ3V/jC500jP+V2/TfaK07SS+Gpckzv/j8SfpJX22105/Qtk\n",
       "AAAAAAAAANZaPiADAAAAAAAA8MoHZAAAAAAAAADWWj4gAwAAAAAAAPDKB2QAAAAAAAAA1lprXb59\n",
       "+/ayfeBy2UdQwm9u9t+kd/HVsJeXbdbW8/PzNrzaxdeVM3V7e/vhfHTl7PL29PT05u9dvXTt04Wn\n",
       "kno92QZdnVZduXftWdPr+mVtr86kXmq+Hx8fo+erWk+7snT1UNNK+/m1tL07ybzW5bvmLZ1Tr9X2\n",
       "68qdjvfJHJnOa4lpXGkbJPXQ1XE3Dq7jm/SNtfJ62j1fx2dXjjR8V5ZuHqpzwWTdSua0tfL5eDJ/\n",
       "p3ucznVZu77yf9m7s+VGjixbwxvERDJTqrLufv+HbFUpifnc0GSOleBeWOlRuujzf1eCeYQP28eI\n",
       "UBo3m83d7+12+3TeSsva7XZR2Urv78p2Yyk9d7o9dLx/dn3Wurnx0NVN05Ye512fubGjXDu7uOnY\n",
       "cP2fSvZnl+7a2cVU6+HKPh6Pi9UtmQOPfquZ/lZu3Op42O/3v1yu9o9bt5LnjNmzQLonduPjdDo9\n",
       "fW1VvoZ2+bl1Kh1r3Xqga4fbp1z629vb3e/X19cvr3VjJ92nXB91easlzyFu7fjx48fd7z///LO9\n",
       "/nA4tOlL7sfaR9q/6vv371+mvb+/3/12e+SS7+KWnJ9V933grnXzWe9P960uLX33otI52HFrh+rK\n",
       "0nala4krK3lv6/JyfZD0kVuX0v7p8kvn35JravIOYQnJudP115Lv6f/Od6dpXrN7ywy3p848H6sl\n",
       "3zEt/Y44ifHS7+mdpG6zz6zJmSddW1w7kv6eXdeS/Xjp9Tvpz9k1Mnl3mr6Pnlm3+BfIAAAAAAAA\n",
       "AAAAAICq4gMyAAAAAAAAAAAAAOATH5ABAAAAAAAAAAAAAFXFB2QAAAAAAAAAAAAAwKfVfr9v/4Jy\n",
       "+oek3R9z7/JL/4i1s91u7353fyx69g+Nq+SPXKd/9NqZaaemz/bBmJ9rZxqHZCw57o/Wu/zcuB8t\n",
       "/UfOO3qvy8u1U+vm4tZJ65b80fp0zjhd2a6stD+7mKYxS3X5ufhrvZP+clw7L5fL1P2JdJ/6T5bt\n",
       "uD7o6qYxdXnN7hVJXkvOg2RfqZqLaUrL2mw27fV65lHj/e7aNO+OxtTtl25fSdaadN2aPQuOcZo9\n",
       "26VrajL23JqZ7qHd2Ez707XjeDx+maZjy7UzObu5/E6nU3uv1tuVnfTn7NlO53fXn64sbZfr//1+\n",
       "/3Td3DrkYqp9NPMcoe1K2uHq5satSz8cDne/Z86duu7MntWT/NycSvfv5Iz7+vra5uXS3X49Sp8j\n",
       "ZvaCNC83bpP1281PHbd//PFHe323F2hdXDvc/P327dvd7+/fv0fXj97e3qKy0+epmecv7YOPj4+n\n",
       "r3drw48fP9r0dI/Uuo7S91npvtatTW4+a3//nc9PTrI+p+8UXX926bqeur0h3Tu6PTU9L7vrnTFu\n",
       "biyl49qtDV3d0+dbd/bTusyM3fQs0MV16fcCyXvAmfeqqSXf01X9HKclv7vMvtcd2zr7nJ+O2+Q8\n",
       "5iRnP1evND09p4603mmMXd26GP+d72l1n1ryOd9dn75Tmllv+RfIAAAAAAAAAAAAAICq4gMyAAAA\n",
       "AAAAAAAAAOATH5ABAAAAAAAAAAAAAFXFB2QAAAAAAAAAAAAAwCc+IAMAAAAAAAAAAAAAqqpq9f7+\n",
       "fusuuN3a5FqtVu1vdb1en05zebl0tdlsvkxz7dS6rdfr6PruXld2mv7y8vX/F3C5XNq80rp17ay6\n",
       "j/lMzKp+7u+ubmle2+22vb6LaVXV+Xxu00cuptpHbpx3ddN6pfPZ6eKcxjTts5G2y7XT9Wcy1py0\n",
       "bklejmtnuuYmXH+6uo3pMzGr+rldbh1MxpprZzIWl4z/M/l1dUv2lWfS07h1/pNnBbdPpe3srnd5\n",
       "aV3cmpqcFdJ2uuuTOXo8Htv00+kUleXi2HHtUm7t+E/OZ9fObnzo+Xd2zugcTNaSmbyq+vOWps2e\n",
       "OzXmXYzTvSA5Nyo3Dmfz6/rAjY10TnXPZppfumaqt7e3u98z/al12e12U3Ub4+Da6dbIHz9+tOmq\n",
       "a6uW5cZt+rzUjWU3NrT/3Lzo6q7tdPtU+izXXZ+u7e4skOwFLq/39/eorG59SM+kbg66sTje7/JK\n",
       "5uevXD9Kn3/TvWXmfK0xTc5jM2exqp/nzJJ7pGuHK0vTu+uXfJfi8tO02Wfv5L2u2/P03pnxkb4H\n",
       "cHHQ8ZC8n1ZpO90+NdbNXZuel2fe6+qat/Tzclf23/l+JH0HuOTzkjOztqsl3zc/Su/a6c52yrU7\n",
       "mSfpGujS07Xmq3otYWybi7ErW+f3kvvUzPvJR+kz7yDU7B46mn1W17p3+aXjeqY/+RfIAAAAAAAA\n",
       "AAAAAICq4gMyAAAAAAAAAAAAAOATH5ABAAAAAAAAAAAAAFXFB2QAAAAAAAAAAAAAwCc+IAMAAAAA\n",
       "AAAAAAAAqooPyAAAAAAAAAAAAACAT3xABgAAAAAAAAAAAABUFR+QAQAAAAAAAAAAAACfVm9vb7eZ\n",
       "DNbr9X2Gq1V7/fV6fTrt5aX/vq1lK73/crl8ee35fG7zut3uw+Ta2XH1dmU7Xd1cTNOyXXpSXjc2\n",
       "HpXV5e1irDFyZTvd2Eppu1wMu/5O2+XmQcLNEe3PdF50XMxcXDS9a0s6R2bWjqXH7ZLzc2npWtXR\n",
       "PnB9lvTRdrtt0107xrVjNsbaLpdf105Nm43ZZrN5Or+0rHSt6erl1qF0b5mhY2vmfFV1H4f0XOHy\n",
       "PhwOT997PB6jspX2WTKOlc5PFxc338fxMXuG1bidTqdfzi+dz2l6V7b2l+POU91YTM8RrqzkbOf6\n",
       "Jz0LJDHd7/dtXq4PdKx249zVW9Nn9/IxPzcuPz4+2nQ9487suTo2XF6ze8soXafe39/b67t0zSs9\n",
       "PztdW9xeof3tru/K0nrP7HlVP4+P7vkqfYacefbWtWC327V5ubVD07vrXV461mafrZPzWDquXd26\n",
       "sZjmteR7IJdXuq6N3Frv0rX/Z57lk/lX5ffvZCyl/ZVeP9J9I32XppZ89ta6uLKTtcOtJenz0kwf\n",
       "qJkz7DPpo7SdM2Wn7xhcTJM+SNeCJZ/FZ+dM+s5ipi6q66N0rs+8U5rNy833ZCy6+Zn258yamfan\n",
       "e04Y25bOP5V+j1hy7VjyG0Jalmtn8hwxS9vVjd10PZ7Z8/gXyAAAAAAAAAAAAACAquIDMgAAAAAA\n",
       "AAAAAADgEx+QAQAAAAAAAAAAAABVxQdkAAAAAAAAAAAAAMAnPiADAAAAAAAAAAAAAKqqavX+/n7r\n",
       "Ljifz1GGLy/9N+nVavVl2u12X5Xu2mes1+s2/6Qszctdf71efyntkTQOl8vly7QuBo/SXX9qXDqu\n",
       "3S4vjcOS/enqNjsWR13/VPk+SqT1Tsd1FzeXl6a765P+dv3pxrXLPylL6+36tysrmW/PlJVw41br\n",
       "ncZYjXWfnX8aB7evJeXN7Hlqtr/SPbQrT9vl8krHx3a7fbpsV5a7frPZfJmWnBOq8v17Ji9tp4ux\n",
       "G9djW5fc0xyNf9f3VXnduvy6vq/Kx7nLb7zfrdcuL73f9f/xePwy7ePj4+lrq6pOp1ObrvOka+tu\n",
       "t2vz2u/3T+flpGvokmckbYfScTrzHLHkGaZq2ecv7b/Zs8AYNzc20rVl5lktPXc645xz8/NwOLTp\n",
       "Ot9n9o70DOvioOlLnq9nzmO65rn9NH2mdWMz4fogeXeT7pHOzNqh9XYxdu0c090+5NLTOCTrgcvb\n",
       "7S3JOdaNw/S8NtbdtSPtz5n3JUs+Dz2qSzf20mfMmbNA2s50L+jakq7PTnL97Pl6Se68rJZ8jnRx\n",
       "0P6e2b81zeWVPst30vmbvpPozK5rqotbOm6XfGcx8+z1SLI+z3L9PcZ16f6cyW/Jd8R6/+w6o2PR\n",
       "xbgrL32fkZ4juz5Iy3JnweRbptsbljwrLD2nupjyL5ABAAAAAAAAAAAAAFXFB2QAAAAAAAAAAAAA\n",
       "wCc+IAMAAAAAAAAAAAAAqooPyAAAAAAAAAAAAACAT6v9ft/+xWX3B9X1jzm7P+DcpSd/KHpp7g+g\n",
       "p3VJ/pC1+yPnLi+t+0zctKzZPzQ/5ufqlZbVle3K0nGdXq/GP4I+2596v/4Re5X8QXVXt9TMH3PX\n",
       "/p5ZO9I/HO+u13Z1/Z/2txvnyRrppNe7unU0Dq7spM/S/nX3L7m3zM6psS6uneM684iO0yX3NZeX\n",
       "WyO1bV1bl96Pk7xc3pfLJcqvGx8ur5SL27iX7Ha79lrXn+p0On2Z9p88P1VVbbfbL9NcTPTe9Mzb\n",
       "lTc7jrt2pZY8J1b5tSgpS+vm+qA7E+l868ZllW+HztGkbGf2rDhyMUvncxeX9Jzg1honKS89y7vz\n",
       "dUfHhmunK2ts5+z6vOQ8OB6PUV5perKWKO0Dt6d2ZSXPmM+UpendOE6fC51ufOg4dGMpne/dHHR5\n",
       "pWei5DlDx7FyMdY4uT5z82Dk1gbXR3pWmFlztd6uT8Y4zJ5ZdHy4PjscDl+mab2XfgfVSd8xzD5f\n",
       "JWae82fzcmt98v5jth3JM2l6XnZzPzn7Lf1OcSa/Jd/5P6rLzHsB5fqsS9e1w8UsrduSz/4z76+X\n",
       "fqeocZppp94781yYSt9BuPHRxU3vnV3rk+8uS85PV97S7yeTde3vnJ9pzJzke5UbO+nzUhvT9k4A\n",
       "AAAAAAAAAAAAwP83+IAMAAAAAAAAAAAAAKgqPiADAAAAAAAAAAAAAD7xARkAAAAAAAAAAAAAUFV8\n",
       "QAYAAAAAAAAAAAAAfFrt9/tbd8HLS/aNeb1e9wWuVk+ndddWVV2v1zb9dmubFl2r6a6dXX7aLpdX\n",
       "2s60zzqubs5Y98vl0l7r+iAZHy4Gri5qpr9T2t+urkv2dzoPuj5w4zadB107NS9XtqMx78pesu+r\n",
       "+pgej8e7367vN5tNlN61ZXb+KtdHru4zZZ/P5za9q5uW5erp9rGR9m9Ky9rv9+31S8Y4XYe667fb\n",
       "7aJlJf15Op3avNJ5MLN2aH+6/nJxS/ZznSMza6rGIG230nbudrtfzkvniLs+mc9Ln+3c9d3Y1Hvd\n",
       "HHJlafrMPqj3pueQTjc2fkU3x9zYSM+dXX66Fri5PzvnkrzS9dmVPZbn8l7yPJzU61eun7nWpR8O\n",
       "h/a36s5E6T70d54FXl9fo+uVvqHmAAAgAElEQVS7umsMXMzSeZDMMWdmvU3X7nTOdX3gzt7Js1eV\n",
       "32PH85w7X6dzzrWlo/fO5PVIt9e4stK6JO95nHRNTfZIN1bc89L7+/vd725szsYhofPZPcOkc3Dm\n",
       "7J++m0nenbqxkb6/7PrMrQ167+x7u7GPZs9u6T7U1d2NLZW8Y6jqx0c6dmbe26ZjfsnnpXTNW3J+\n",
       "uv5Kn2mTc6Uz+153rPvsWT19p9HVXeuSrjVd3WbfT6Z7QfKNz42ldKx1cUv7x+2Rf+e3zKTspb8X\n",
       "dnHjXyADAAAAAAAAAAAAAKqKD8gAAAAAAAAAAAAAgE98QAYAAAAAAAAAAAAAVBUfkAEAAAAAAAAA\n",
       "AAAAn/iADAAAAAAAAAAAAACoqqrV+/v7rb1gtVq0wNvt6+I0rbu2ytdN09frtand89KyR2k7Xbp6\n",
       "efn6/wu4Xq/tvZfL5em8njGWN5uX6vpzs9m092r/zPbB2DZ3resDvT/ts7/Tdrv9Ms31t9b7fD7/\n",
       "cj20LDc/07E4UzcdpzNjTdNm12ftv5n8TqfT3e903VLJ/d04fJSXm1NL5uXG2pjf7J43e/1Ix63b\n",
       "P10ctC7dGr3f79u8drvd3W8Xt8Ph8GXa8Xhsf6t0/U7OAkrHtRtLro+SM5C2040l7ZPuXrc/u/ns\n",
       "0kfpWj+7n45tc/3rykrX0GS+u3Gcnju669Nx6drRjR/dh2bnjJbVtdP1p9bF9W937tAYLX2+7rh6\n",
       "a8xcjGfioNy41bp1cUvnn2unW7fGPnX96WKi+9jHx0d0fXevzrGUxun19fXLa79//97mpf3p+qyr\n",
       "e9quJc9rrr/1TNTtt1X9WEyfSdL1uJuDSz+bubqPbZ1dh1JLri0uLhrXrg/S9TY527t6pucKNye7\n",
       "/DTN5eX2b10ju/zS90Az507Ny52v02fWmfk8W/YoPSe6dB3nM/2p/ef2etdHo+75tWru/dQj3VhM\n",
       "33+k5+uZNVjj4Po/eWZJz/ZJWem16ZzrYqp5zc6pZHzMluXKVmMfpe+nVfoOsSsv7YPkHfLsWFry\n",
       "G6DOKbduLVl2+r5j5pyafl9a+j1QZ8nvEfwLZAAAAAAAAAAAAABAVfEBGQAAAAAAAAAAAADwiQ/I\n",
       "AAAAAAAAAAAAAICq4gMyAAAAAAAAAAAAAOATH5ABAAAAAAAAAAAAAFXFB2QAAAAAAAAAAAAAwCc+\n",
       "IAMAAAAAAAAAAAAAqooPyAAAAAAAAAAAAACAT6v39/dbd8Ht1ib/nOFq9cvpLy/337NdXs75fG5/\n",
       "j9brdZS3i8tms/kyTds5W5bq4na9XqO8XFxc3S6Xy9PXpjHt2jmW+0xZrp1uLI75zY5brXs6Nkda\n",
       "F1c3Nz70/nQsd3m5srv5q/3ZXVvVz8+qn9vVjad07KRzsKtX2l8uv46bn1qXmb1Ay5ttZzoPkjV3\n",
       "yXa6ctOy3Njs5oHOIVc3N5a0LjN7pNYlHZsjbefSY61rS7oeu30t2a/TNXBmLGk7t9vtL+f1KL+Z\n",
       "fShdt2bHR0LH5kz/p+fI2bPfyO3H6bqVnAVcf7iykvGRrg0zYyk9Fy65prp26vydWZ+r7us+cx7W\n",
       "vJz0bDd7rhjnt4tJ+jzl5uDhcPgy7d///vfd7x8/frR5/Z10rM2Mj/Qs4Oh46Pa119fXNq+3t7e7\n",
       "3zP7sTqdTk9f+0hytnNzxO1xaX5j3Wbn55J7e1p2un93cXRrQfLurOr+POfG3ez6neSnaUs+q1X1\n",
       "64Mbx5ru+rfrg3Tdmk1PrtV2urHUrUVLzoFHlnwmddw8GMtb+pk0jcso3RPT8dFZug866TPJknPK\n",
       "zRE1s65pvWaepat+jtPMWEv70+09Y35pjJXGaeb92JLPhWr2DJs+y3Xp6dhKn4G6/NO1Y2Y+J/Wq\n",
       "ys9jM+frJc+w/AtkAAAAAAAAAAAAAEBV8QEZAAAAAAAAAAAAAPCJD8gAAAAAAAAAAAAAgKriAzIA\n",
       "AAAAAAAAAAAA4NPq7e2t/YvY6R/gnvkD7FrW7B+DTv4Au/7hd5fu2tnVTf8g9swfJX+U3pWd/iFx\n",
       "FxdnzG/2j7mrmT8Gnt7r6j7GdXbcXi6XqOzkj9Zvt9s2L9ffWrfuj7+nc8S1U8vuykrHuUrWIleW\n",
       "1tv1f5ef1ruLyaPrnc1m82Waq7eOhZl2pmW79HTtSeI2sw5V3cct7S+l89vFuEvXdnVjo8qvHVpW\n",
       "11Y3rjXdXd/1Ubq373a7Nn3mDDTLjcWx7un6PDM207XBmb1/lPZ/EofZM096Jk4svaZ2cUnLOp1O\n",
       "7fVdWW6dcmUrHR/d9W4d0pgl50ql69DsHqgx7eK4dDuT8TGzpz2qS3J+dnktuXakZTuu7G7OHQ6H\n",
       "u9/H47HNq3suqMrX3I6OxZl9SmPq1pL9fh+ld/m5ZzONkYtxkpfj5ru2K3mGcdy5MpkHS65DVXPv\n",
       "gfTe2fdZen+Xn8vL9bcru+P29nRcJ+eO9BnWmZmDama913alz0+urK5sN6d0bXBratef6dqRvufp\n",
       "9rX0/OTGRrIWzT57p3Hr6p6ugWkfdNenfTB7VlzSks9yS4+1xOxz42j2fVdqnCcze/cj6Zo6SuOQ\n",
       "9OfsO38dWzPfIzSm6fcGlcxfV+90fibvTl3/pmOxi8vs3u/KHvEvkAEAAAAAAAAAAAAAVcUHZAAA\n",
       "AAAAAAAAAADAJz4gAwAAAAAAAAAAAACqig/IAAAAAAAAAAAAAIBPfEAGAAAAAAAAAAAAAFRV1ert\n",
       "7e3WXfDy0n9jXq1W7W91uVyezut2a6tmy5q9fkZX1vV6ffraZ2icuvyWjoEbH6Ou759J32w2T5ed\n",
       "jh3tE+Xa6cpLrt1ut1HZnfP5fPfb9b9e72ifjFxMlev/znq9vvvt2pn0l7s+rfdM3TRtJmZVP8et\n",
       "G2uu3jPj1HHj0sVB2+ksuYa6eZDMk91u16an7eyk+9SSZ4V0jszMKa23i3G35j3S1c2Na+0DF2Pd\n",
       "O7q6uHZoWa7sbhyna4Nbn9O9paNrh1tLXFvGOejGpWvH8Xhs05P8NM2tFS49yS/tfxeX9JzScfNg\n",
       "yTPzkmf/NKZubViSjgU3p5I4pPuMS+/qdjqd2rzSfSgZt27+pe1047xra3pednFL5oErO+2DJC8X\n",
       "M3dW0Lp0czB9xnRrZPLM4mKc7HnP1C2RnGkeGdvmxuXM+6tHujmse7tbG9x6oH3UXZ/u7cnZb/bs\n",
       "ls7n5JnHtcPNd61b12fpHHB168aeps2sDWl+6d4w0069d/a5Pz2nJNzZPT1bdNLnjJn1Pn3n78Zi\n",
       "sl8vua9U5c/ynfSc0q0dS7+/TmKczmelMe3mVNpONz+T8bH0+XrmGWfp9yNjWbP9qWa+lWhaOmeS\n",
       "slT6/Wnm+2N6hpldQ/9TeVWZd6dRTgAAAAAAAAAAAACA/7P4gAwAAAAAAAAAAAAAqCo+IAMAAAAA\n",
       "AAAAAAAAPvEBGQAAAAAAAAAAAABQVXxABgAAAAAAAAAAAAB8Wn3//v3WXXC7tck/pV8ul+j6zmq1\n",
       "atNfXvrv3y49KWu9Xt/9du24Xq9fpiUxqKrabDZRWV3+aX+6612MXVxHXczSsrfbbVRWMlZcXVzM\n",
       "0jniYtjll8bUXa916eLm4qB56RxTXbqWdT6f27xcOzW/rp1u7KTzvWuntiuN8Yx0vXX9eTqd2vSx\n",
       "j9JxrNK6dXNK85rt/7FP3bXpHHF7R7dOurKUW9dceiI9d3TzYLfb3f1+e3tr83IxVV2funVK2zW7\n",
       "T439nbZjZq9P1yHXn7oedPmn+226B6px3rgYz+ztjyTnznR+q2Qvcu1Mz51dXLVds88k6VrT0f5x\n",
       "59ROuhak7ZwpW/tn9pwy9unsfqv9182Z9Jw481z4zP0j3beUjq30HDrSmM22c3YfG+nYmWlnukYu\n",
       "+fybrpGu7K4P9Ow9+5yQ9Ge6DrnnhCS/2XdGybmjqt+ntF1uX0nHWjd2Xb01PdlD3ZnHzSmN8cx+\n",
       "m55x0zk4s3dof7qyu2cFLcuV7eaUxnzmbK8xc2eeLr+l1wYdi8k7JqX1XvKdxex++/Hxcfd75lk9\n",
       "3W9d3XQ8LHk2mKlbuie6dW3JtWPp89jItWPJZ7mZ9za/Ysxv9uyW7kvJuua4fW3Jd4paVjo2Z6Rn\n",
       "oiXfQc08Z6bvlJz03NmZeT5S/AtkAAAAAAAAAAAAAEBV8QEZAAAAAAAAAAAAAPCJD8gAAAAAAAAA\n",
       "AAAAgKriAzIAAAAAAAAAAAAA4BMfkAEAAAAAAAAAAAAAVcUHZAAAAAAAAAAAAADAJz4gAwAAAAAA\n",
       "AAAAAACqig/IAAAAAAAAAAAAAIBPq7e3t1t7wWrVZnC73d/urk/yWq/X7fXb7bZNv16v7e+Etsvl\n",
       "9fLy/Lf58/n8S3X6qqwubhpjl5drp0u/XC5//fdms2mvdWNH69a1JY2pq5sbi6Oxzb+SnvZBUpYb\n",
       "l+n4WHK+J3NmNq90XHdxSWOw2+3a9K6sdE1L49C1JR23ThK3ZP49onV347yj7XT7kJPMbxczjZMb\n",
       "a0mfuf53MU1ins6pmTVS1/63t7f2ehfTJftT97Fkv31k7IOZOfBI15bkjPLoeqV91l2ftvNwOLTp\n",
       "ydlidt1acr9dWjLO07VhJm5uDqh0TU32Z5eejvOR7juu3a5uS+7H6VnAjY+xbW7+ubKTuLmYaV4u\n",
       "hi6/Jdfn5Gz36Pqv6vUMd30yD1x/artm2qlpbpy750Ydq11blj7zdGWl56V0/U5i7PJK3wt0+aVj\n",
       "yTmdTm1611aty+wzq8atWyfdXqHj2p15R7PPpDrn3BzrytP+nI2xy3+UPi/N1C3p+0fXq2T/djHT\n",
       "OeLK7vo7nTN/57qVviN2xra5fSjd847HY3t9N3aTmD263pW15Ht6F7duXdN73Zxy6ck5xcVMy3L9\n",
       "n5Tl8krXta4t6diYff4d59TM++aq/Ezs9rHRku/aln7Pk+7fndnnpdnrR8lZvapvp6al7yRUsr8v\n",
       "+ZzvrudfIAMAAAAAAAAAAAAAqooPyAAAAAAAAAAAAACAT3xABgAAAAAAAAAAAABUFR+QAQAAAAAA\n",
       "AAAAAACfVq+vr+1f2O7+yHxV/ge63R+aH83+wXS9v6tr+gfV3R/F7vLTtKX/kHjH/YFzLWv2D3KP\n",
       "6e5aN5b0/q4PXF7b7bbNO5X80XqXru1yY1PbMiP9Y+9dW9K1IR2bo9PptGhZGvOu7HTtcNd3cVuy\n",
       "f6p+blc3D9L5mfa/GuPk9iHXn2pmjmqaWyM3m02bPsbN5eXaqWuBGy/dfqztnO1PbVvXFhczHQ9u\n",
       "fHRrpJaVrs8qiVva37N76Njfbh1K1kBXt2SdeSZd+6Brdzpn3F6SrIMuZulYcnHp+lTjMHtO0fR0\n",
       "De6ke+ooXbeOx2Ob7tai5FrtP1d2Nz7StcGNtWQdTM/Lrj/TedBJ16muz1x/pntisna4a9Mz7EyM\n",
       "dZwmz/GPaN26sl0faLqLS7Ifz+RVlZ2J3ZzSurg5teS7liXPPOnaMXvuHPf3ZC1/JHkHUdX3QXKG\n",
       "cXlV5c/AnfS8NsY1XZdUuq915Wma2xtc+uFwuPvdxTwd525sdnHTseTGihtryTvKZGw8c/2S75Qc\n",
       "rUsXtzSms/N55MZG+l7IzdEuPS3LnXE1DjPPcjp/07qOdGy496zpGXdmj9SyXNndOqUxc/vIknVL\n",
       "1+MlvwmlZzeVfsfpxqK2M303o5ZcJ9M5lTyzuvd2bnwka+7M/vpIslcs+S68au49ffqNr/320d4J\n",
       "AAAAAAAAAAAAAPj/Bh+QAQAAAAAAAAAAAABVxQdkAAAAAAAAAAAAAMAnPiADAAAAAAAAAAAAAKqK\n",
       "D8gAAAAAAAAAAAAAgE+r/X5/ay9YraIM1+t1m/7y8vU368vlcvf7dmurZuumZXXXX6/XKC+ny0/r\n",
       "sdls2rxcO12ckry0D/S3cnUf4+Bi6NK1nV2MXX9qHP7OGCd5PXO964OR68+0D7rrz+fzYnk52i7X\n",
       "/47WbbfbfXntdrtt89Lx4Pqzq/vSa2QyFt21WjfXny5u417ixq2rWzrWkj5webk+GOMwMwceleXi\n",
       "cjqdvkzTdrq93dH7u/zc2Njv99H13RqpMXdrhxuLKl3vZ7i6jePDtXO2v0dalouJ2zuSuqXtnFmf\n",
       "NX1mnXl0/8x6r3nNrluqq1t67nD92+WX7pGO1mXmbJGer7s+StbTqvxM3MUtPVe465NnuXSvd2V1\n",
       "1ydn6yrfn8nz8ezZTuuSzueOi4trp547ZuaUljXznLn02uHyT8rS/nNnnuQsOXvuTJ7N0+dCN9aS\n",
       "us/OKR236VmwM/Pu7FFdurO96wOVxG22Hcl7u6rsLDC7bqmubunaMdPOJd8xpNe7euu9bs50YzPd\n",
       "09K1o8svPcPMPkeO+bmy3XzWdqZrcJe29HvdmT03PVckZ4HZd+GaPvN8re2aOV8fDoeo7CXPkUue\n",
       "1auyZ9rkOf6Z9Jk1N93z/s4zj6bPPOOkeaV90F3fvcN/5O/cj9M9tGvn0t+XunT+BTIAAAAAAAAA\n",
       "AAAAoKr4gAwAAAAAAAAAAAAA+MQHZAAAAAAAAAAAAABAVfEBGQAAAAAAAAAAAADwiQ/IAAAAAAAA\n",
       "AAAAAICqqlrtdrvbTAYvL/ffoFerVV9gk+7uTa3X66fzv16vUV6bzaa9/nw+f5l2uVzuft9ufRe4\n",
       "uGgfLEnbrVzdx/QuJlW+HdpH3fXpWHLtcHEYyzudTu212+22Tdd2urh1ddO8XDvTcT0zn7Uu6fXd\n",
       "vbNz6ng83v3u+sCN23R+dtdrX7tx6cZOMqccjelMf2q6G5du/U7X3C4Omja7/o5xWjJmz0jqrjFM\n",
       "uT4cuf7UNXS327XXd+malys73Y+TseTKcn2g61aXn9unlLu+i4uuQ7P7rfZZN7bSs4BbM10fjG1L\n",
       "zg3PlOXGS1eepqVrhdK6dXFJ1w63VnR11/nrYuzK0ph364OLaRKzKj9+Rmk7nK4ts2NHJXVLzzQz\n",
       "+bmYJs+YVT5uY91dOx2NqXvueHt7+zJt6WdzlfbZSGOaPkd2XB+4uOj4mFk7krWgqj8LpDFzkvxc\n",
       "WZrXkuva7Nkuvb6rm6797ny15PiYmW+PjG1Zem9IzltK+2fJZ7Wq7N2LSuOU9O/sGqjrXpefm5/a\n",
       "f7P72ujvjLGb69quNC4d146lz0RJHNLnSJdfF2cXs/R9Z5eejtN075h5f633zrzPSt/bOVqXLo5u\n",
       "XC75frIq26fSZ/OZfU/P5rPvlJc8E6mZOZW+z0pj2l2f7okuLkvOqXRcd3MqPSfOPLPyL5ABAAAA\n",
       "AAAAAAAAAFXFB2QAAAAAAAAAAAAAwCc+IAMAAAAAAAAAAAAAqooPyAAAAAAAAAAAAACAT3xABgAA\n",
       "AAAAAAAAAABUVdVqt9vdugteXrJvzOv1uk2/3b4ubrPZPH1tVdX1em3Tz+dzmz5arVZPX1vl49LF\n",
       "Qcty7XR107p0+c3GVLn+Ph6Pf/335XJpr01j6sruaEzTcd6Z7U9Nnxnnydh4pm5JnJYeS278jJbu\n",
       "g5nxofVO15rR0jFN8ncx0Ji7PnDr83i/u9a1U+vu+qCLg947059V9/uei3HaB268JPvxTMwe3b/b\n",
       "7b68dr/ft3lp3fS3u3407lGPfqt0LHYxTs9L6fzvynP9qXVz62+XrvV2a4MrS/Pr2pKuDbNngbFu\n",
       "S+6nVXN9oHGYXbe07l2cXb11PCR7vSvLzRnXB9vt9unrXVlp3bTsjptTLq/k3OnKUm7NdGNxLM+1\n",
       "w813TZ+Z78kz5jOSurg+SM88SVvS/lc6D7r9OV0LZs5QS+55Vdm+lz6zuOu7eaD3upilZ78ln5dm\n",
       "6zaaPT9p3Gb20KXfOekcSvYOpe1MzsSz5+d0bHZ0DqR7oFqyblpWGpcuza0N6frdrc/pO0UXs25N\n",
       "1Ri55750z5t5Vps5sz4y1mUmZo/SZ84CyXP8M2Wl7/07p9Mpur6Lq9bDzc/D4dCm6zyYmVPpOpTE\n",
       "1I3z19fXp/Oq6vfcpcdt8q48Xetdenoe79Jm30GMbZt9F568a6nq665zyPX/7DuKUfoudCZu2i43\n",
       "p9KYJmPJ1c2tmV0c+BfIAAAAAAAAAAAAAICq4gMyAAAAAAAAAAAAAOATH5ABAAAAAAAAAAAAAFXF\n",
       "B2QAAAAAAAAAAAAAwCc+IAMAAAAAAAAAAAAAqooPyAAAAAAAAAAAAACAT3xABgAAAAAAAAAAAABU\n",
       "VdXqt99+u3UX3G5tcl2v17vfLy+//k1a83JOp1ObntRltVpF6ev1+um8XV6u7M1m06Zr3Lq4uJho\n",
       "XWb6M+X6X9O769243W63d79fX1/b611+5/P5qXpV+f7Wssa80/w0zdXNtVPz68amGztal8vlEl3f\n",
       "1ctx7dS6d9e7vFz6DLcOuT7Q+7s4pmPDle36263vSVk6313ZXVvT9TvZ12bnp97vxofGpctrv9+3\n",
       "ebl07aMubum4nhlrGtOl52tXdrq/pnukGtvmyk7WQFd2sndX5eermT5buv/H/nZrw995vlLpnjlz\n",
       "v+vPNObd9UuPtWT9dmd1l66SuLg9bcn5nublJHV3ebvzcrJHuv5actwq1w4n7YMuDloX119LcuuM\n",
       "1tv1WXLGdX2QzrmuT1w79Tw8s0/pHEhjrJKxlj4fu7rNPDemeSXPv87S71qS83VabxeXcXzMPg9p\n",
       "WW4OdvNA85pdt5L+T+eMe95d8v2HG2sa0+Px+PS1SuPgrk+el5Y+V3Zlu3Gb1i05l7pxm54V0nft\n",
       "I43pbDt17CbvXlT3PuORLm7pfpueibs+df2pMXd9MPNeL8krzS+dv0u+Wz8cDlHZKn0H9Z+MixrH\n",
       "7uz8TNeWrrz0bDdTlkrHzsw7Yk2bPcPqWtS1JX0XPvOOin+BDAAAAAAAAAAAAACoKj4gAwAAAAAA\n",
       "AAAAAAA+8QEZAAAAAAAAAAAAAFBVfEAGAAAAAAAAAAAAAHziAzIAAAAAAAAAAAAAoKqqVt++fbt1\n",
       "F5zP5yjD7Xbbpr+8fP3N+nK5RGWtVqvo+uv1+mXaer1etKzO8Xi8+327tV1gaUy7unbxr6rabDZP\n",
       "51XVx1QtmVdVPzZdXhoHbXdq7EMX49n+Vt28Sdvp6nY6ne5+p+vDSOvm5mBXd+3vv3NOuXVL6+Lq\n",
       "1o0fjVHaX44bux2tixtryVh04yzdO9z60MVV+8Dtea6Pkr3F9Wc6H7s+2O12d7/f3t7avPR6teSa\n",
       "q/3t+j/Z+2f7S9O7urn+0rq5cevSx7q5dmrZbm3o2pnu7e56rVvXJ+l66/YhV7cxDuk5xHHXd+k6\n",
       "31xc0rHW5efqrf03s39rXnreVun46K5P96GZs6K20+1Dbr3Vcd+tTS6mKo2LGts6e1ZPxlr63Df7\n",
       "nJiMe1eWjoeZ5y89d7j+dOcUrcvMuVPPHe4c0o0frZdrh4vDku1Mx1ayH88+L6XnsY7GaHZdm117\n",
       "Rhond1bo4qpprp2OtjMpW6Vn9bHs9FzpuPySZ57Zs33yLJ/OVxfjLj9dp2bPndquLr/0bD8jfR5y\n",
       "/a1zphtL6biePV+P97uxlJ6vk+fErl6Pfis3P5N5svTzUrLmzo61JeeUxtRdv+S703TP6/bf2XeE\n",
       "anaejNJ3bemZt6uX6wMXlzG/9P200vExs7ckc+CZdB2LydlepWtLcr6eWW9dWcq1Iz0rdDHlXyAD\n",
       "AAAAAAAAAAAAAKqKD8gAAAAAAAAAAAAAgE98QAYAAAAAAAAAAAAAVBUfkAEAAAAAAAAAAAAAn/iA\n",
       "DAAAAAAAAAAAAACoqqrVer2+dRe8vPTfmNfr9d3v7XbbXn+7fV3carVqf6d1u1wud7+v1+vT1zra\n",
       "btWV5dqlupg90sXF5eViqlwcxra6dp/P56jsjutPjYOrm2vnmF/X94/KVpvNpk1P8tN2pWPJ5dfF\n",
       "LZ2f6bwYLTlHqn7uw65urr+1LFfXJKZp2eo/uUa6st1eMZpdO9L5vmReyZrrYpbW213/+vr6ZZqu\n",
       "Q65uad3TdW6UjNuqvg/S/kz3yJmzwOl0uvs9u36PcXNzRvc8V9cuPc0r2W+ddGy4urlxO97v1kxX\n",
       "t1SSn+v/mfmp0rHj+reLq947c1Z/lJ6Mc5dXek4d6Trk+svFNIlbeq5Iy+7Kmxkbj3TnkOT5pmp+\n",
       "zoxzUtf+VPps3tU93fPSM9HMuVPvdfM5WTt2u12bV/p+pKubG9dJXi6/dH66diZ7aLrnuX3K5TeO\n",
       "69kzrJpZizRG6VhyurikYyc527t1y6WnczDJazbGml/y7sVx1yfPyy7Gbk1N9tA0pkueeZwl25me\n",
       "BWbPPGPdZt5XPFPWTF5Lvv949DvJS/eKJc8CruxkH6qaa2e6h3b5acyWPKtXVe33+y+vdXMqfc+T\n",
       "zJOZ9xlV+bvYZKzNnnnG/NJ1S+n+69bgbu9JnqWfKUvvnzlfu7yT/NKxkZ6JZp7NlRtr3bjlXyAD\n",
       "AAAAAAAAAAAAAKqKD8gAAAAAAAAAAAAAgE98QAYAAAAAAAAAAAAAVBUfkAEAAAAAAAAAAAAAn/iA\n",
       "DAAAAAAAAAAAAACoqqrV9+/fb90F1+u1zeB2u7/dXX86nZ4ua7fbtXmtVqs2fbPZ3P1+efn17+Xa\n",
       "Tv2tujis1+uoXq4s1eXn8tKYal1V159VVefz+eF/P7Ldbtv0pP9cvbWdLm8dS2qM6+Vyicp26TNj\n",
       "Te+drZvm113v1gKtiyu769N0fqZ90LUlXVf+znUobWfHzSntz2RtmLXf79t0XVvc2EzWUNcHbs6N\n",
       "97t1xvWX1ntmTdV7XYxdHHQ8HI/HL69N1wIXt056hknTZ9qp/ePORMl64NqhdXN17fJbMq+qn+PS\n",
       "zbEl97Rn0kdd3z9Dx3XalpGLqXL7VHKGcnlp/6Vlj9Izj+sjjZtbUzvarpn9W+s1u58mzyWufzRG\n",
       "bn12feTOEiN3TtG6dX2Q7u3uehe35GyYPpvPzKlkzXuGxq3r/zSm6b420v3Vjcv0eaqbBy6vVLIn\n",
       "zoyNR/cn67NLn32OGMeDWxuWfm/Q5ZfOqXR8uLZ0tF0uxmPdZsfxkutWem0as5m9I30P2PVB8szx\n",
       "TN30We/19fWX6lVVdWSo/J4AACAASURBVDgcous72s40xirdO5K8ZtaGqvu2JeefR9JzStdH6fx0\n",
       "7w1U8hzp0mfOlTNj4RkzzxHJ+8mqPg7ps1d6Ju76zMUgXY+TdzPJe7lnzLyD0nov/Q0hKdvllX53\n",
       "66QxVslZw9Vb85r5lqlcTNKxM3PGSr8/dH3Ev0AGAAAAAAAAAAAAAFQVH5ABAAAAAAAAAAAAAJ/4\n",
       "gAwAAAAAAAAAAAAAqCo+IAMAAAAAAAAAAAAAPvEBGQAAAAAAAAAAAABQVXxABgAAAAAAAAAAAAB8\n",
       "4gMyAAAAAAAAAAAAAKCqqlavr6+37oLbrU2u6/V6n+FqFV3f3dtd+4zdbnf3++Xl6+/l6/U6ysu1\n",
       "83K5fJl2Pp/b38rFQevi6tY5Ho93v11cupimdeli9qgu2+326WuVjmtX9mazebpuLi/Xn5ru5mAS\n",
       "Y1d2Ot/d9Z2u/1Jaj9lxq304006Xt+rKSud6uhbs9/tfqtejdF1LlIvDWPeZfeVRuht7r6+vT9Wr\n",
       "an4NPJ1Of/23i9l47SM67t/e3trrdV8b6ZrnYpaue11c3FjTPTO9fqQx62JSle/9M+cYrZtrp1v3\n",
       "xj505w5th+vfLj+915Xt5pSOxW5/XnKfqcr63/W9O1eka01X3ux5WiV7S3rGdePYpY9m90idczMx\n",
       "1rxm6pY+ezlubM3k5fJ26eM8cWvgx8dHm57MA3etri2zcywZ1+mccnXrytax5datdA/t9pb0+Wf2\n",
       "GSfJy0nKStcCV7fuLKnxdvMvOVe469PnCCfJL32XojROM8/6mpc7p6Tn7259cHFI1++xrNlnNb3f\n",
       "tburmz4vze6ROq5n8tP+SZ6H1ZLvZdL7k737Gcle4PbA2bGY5LXk2U7Nnp+Ue8/QxUXbuXTdZvbc\n",
       "9P1Ysk8l73EeORwOd7+7c2p6vure21X18zk9J/6d3Jqoljzbpc/aS59rOsnzsYuhS0/nbzdP0vcZ\n",
       "bn1PvuO4+Kft7MrSNLd2uOel5H1XeiadGR/8C2QAAAAAAAAAAAAAQFXxARkAAAAAAAAAAAAA8IkP\n",
       "yAAAAAAAAAAAAACAquIDMgAAAAAAAAAAAADgEx+QAQAAAAAAAAAAAABVVbXa7/e37oLbrU3+yWaz\n",
       "+eXKXK/XqOz1et2mr1ar9ndXtiury+uZ9MTpdGrTNU5dXFxML5fL3e+Xl/7/MUj6wMVYy1Y6trqy\n",
       "Xfy1Lq4dblyP+bkYuzio4/HYpnflaZqLi4uD5te1Zbvdtnnp2HJx6dqZxjSdn24edNJ1rZsH2j+z\n",
       "a6Smd3F0MU7W22fqNsbhfD5HZSvtP9efyb6XrjVqrMvsvqLr1NvbW3R9x/WBW7/1/i7GaX+6diRr\n",
       "pGunGxta95m1Iz1/uTm12+2ezjuNS3dO0bGRtksl8zldt9xYcmNzbJvr+3Scz8xBLcv1gYuDjjVX\n",
       "t0461rq46bnDnUPSNdedxxPpM8xIx7Uba+Pcf6YuLm6dw+Fw99vtDR8fH0/n58atq7fuia+vr19e\n",
       "O/M8+4gbO2OcXH+m5+XkvKW03q4/03PnzLN5ukZ26elZ3Umel9KYzjxHaD2WPnd2/Z/ur7PP08n5\n",
       "Op0jrm7ds7vrb5XGrWuri4PuFcnz8mx/Jc8JVVk70/d8Svsgea5w6e76bu9I16nZ9wYjN441feZd\n",
       "m44NV3a6h3b5pefhtP+78ty4nXlHmF6fvktx/Z08H6fPcjN1S8bGMzS/ri3ps3b6HNmZ3SO1rC4/\n",
       "F9O0D5J3cek7Y2f2G8LIzedkH5v9FpV+++rGmq4r7nnIzYPk/fXfKX0Xnn4bm/n2le4F3ZzjXyAD\n",
       "AAAAAAAAAAAAAKqKD8gAAAAAAAAAAAAAgE98QAYAAAAAAAAAAAAAVBUfkAEAAAAAAAAAAAAAn/iA\n",
       "DAAAAAAAAAAAAACoqqrVfr+/LZnhy0v/Tfp2+7o4TVuv11NlXa/XNv0/qWun2mw2bbqLQ8LVS9Mv\n",
       "l0t7veuD1Wr18L8fOR6PbbrWZSYuOjZmx9qYPjMHqn6Og6tbF1cty5XtxqLefzqdnr5Wabv2+317\n",
       "fUf783w+t9e7cZ1I+8fNgy5ueu92u23zcnHQ/uvGbjLXn+HW5zEOLm+XrnV3ZXdxS/vTxW232/31\n",
       "324spXuFq1uXn8Yg3TuUxrzrg3Rvd3FL5vuSa0NV35a0v19fX9vrx7H0yNhHbr/VtcGtJV26xjRd\n",
       "K5TG1I2XxOxZYGxrssY9on3Q7bdV2ZnI9b+rW9IHblzqvW6d68aPjkM3n10faXq357p6673Jc4Iz\n",
       "e+7UOHVjzcUsnd/uHDO2zeXt8tL0t7e3L6+d3fNUcu5w4/bj46NNT/exLm46f918Ts/EXV3dvpPq\n",
       "+kDH/I8fP9q8XN3cWBylzwVuLHUxTfdPN5Y0febdi9bFxdDVLVmLXBz0GTWNy6/Wqypfa5L+V9pO\n",
       "V9dxvrt6zjz/pnQcuvPT4XBo03UsduM83afcnOnOa7reJu+rHknXmk6y1j+6PrlXpc/L3dhzZeu9\n",
       "yZxx+bn+cuPapauubtqu9FypdGx1+bmY6bkkOVcq3dtdDNN1r7s+fT81884ifa+env1m1sil38Uk\n",
       "5+vZNVQl+/3s+87RzHubR2XNfI+YLduld2PNzSntz5l3VOmeN5t/YsnvovwLZAAAAAAAAAAAAABA\n",
       "VfEBGQAAAAAAAAAAAADwiQ/IAAAAAAAAAAAAAICq4gMyAAAAAAAAAAAAAOATH5ABAAAAAAAAAAAA\n",
       "AFVVtXp/f791F9xubXIsye/lZe779mq1uvu92Wx+uSyt9+Vyia7v0rSeyqVrfuv1ur2+c71ef/le\n",
       "Z7Y/VdcHLman0+nut2t3N3aqqna7XZue0HYtOQddXPb7fZuezIPj8fh8xcqP22ROzZalceryd2Mn\n",
       "nZ9dWVovN6fcuFVdn7kYn8/nu9+ubm4sjmPLXZuu364PkjV0dn6OdXflunXGxSm5Pt3z3DzQdF2D\n",
       "n02r+rm/Z8aHa5dK94Ku7HTfce10dUv2d+1/d28Xx7S/ltzz3Nqw3W7vfr+9vbXXuz1yTHfz1bVT\n",
       "54GusarrAx0bbty7spI+dWWl+1q3T2nMPj4+2rz+/PPPNl3j0M0DN0e0XW6+JvuQy8vFVNO7sevK\n",
       "Ss8drp1jn87uQzo+uvzc/NSyXNnJmceV7fLSdW3mGUbTXH+la24nPVe48fHjx48v03RdmV0j0z20\n",
       "k64dXXo6NtLztTu/zZSl3HPm4XD467/Ts57SeeDGcZeu8zdZGx7ROHRj041bHadufIztdP3n1g4t\n",
       "y12fvINwMXTjVsd5t0an+22613RmYlb181iceaeoZaVx6eo1+75S70+eh5W2060Nbk6NdUnPNK5u\n",
       "6XuCka4ds89qSV3c2EnX506ynj6TvqS0/7qxpmPLPS/NvtcbubGj9Z4da+N4mF1vdU6565PxMftN\n",
       "aExP13pnZn9P3qs/k64xX3I/Tr8hzeSVjrWu7Nmxo9qYRjkBAAAAAAAAAAAAAP7P4gMyAAAAAAAA\n",
       "AAAAAKCq+IAMAAAAAAAAAAAAAPjEB2QAAAAAAAAAAAAAQFXxARkAAAAAAAAAAAAA8IkPyAAAAAAA\n",
       "AAAAAACAquIDMgAAAAAAAAAAAADgEx+QAQAAAAAAAAAAAABVVbXa7Xa37oL1eh1leLu12dX1ev0y\n",
       "bbvd3v1+eZn7vq1ldW1x9Xbpqqu71sPlfblc2vTVavX09S4vrct+v4/KVl1/q81m06Zr3LqyXbmn\n",
       "0+nu92z/j3VxMXHtTPrTpWs7Xd3cfNf0ri2uDzQ9HZsjbdfMOvQov46rt9J1TnVrh5bl2un6U+PQ\n",
       "tTsdt+fzub0+jdsMjanbW7q2pvuS64MxP3et6wONueuDri1alhu36Vmhu/63336L7v3x40d7/b/+\n",
       "9a8v0z4+Pu5+65qp3NqgMX17e/vyWre/7na7u9/pHFRj3I7HY3utri3JmqjSOZPG2MWlk54FXFuS\n",
       "eZCeK9NzTXKvcnXT8dPln+blxmbSTjc20rNCus6NdA11ebk4jHStUGkcurotPZYOh0ObPva3Wxvc\n",
       "nqe6fc3N9XQdStZv159OOk67tqZzIHlequrPgm6spWt/l5+uK+4s4M6wWlYXl3SNnDkr6hyZfY5I\n",
       "3t2kzz9uDXRrxyg5iz+i/e3GZpefxlzPoa5sx8W5o3VzcRnXqvQdgtKyZp5hUulZoBt76XPEzLlT\n",
       "6zX7fiNZt1z8taz0bN+lubzcnEnGTvqOcKadVfd94PozHTvp+a0ra+l3513dljzDOku/U0z23HQN\n",
       "Tc9boyXfwz66v8vP9aeegWfeQVTdx821063fambNTd7D/t3Ss//MWV4t/c6xk86D5Dvb7JzSOHRx\n",
       "Sddj1ydd3fkXyAAAAAAAAAAAAACAquIDMgAAAAAAAAAAAADgEx+QAQAAAAAAAAAAAABVxQdkAAAA\n",
       "AAAAAAAAAMCn1bdv39q/uOz+mPfxeLz77f6Ac/dHr/VeV/bLS//9W8ua+YPbWpfz+dxe3/3hac3L\n",
       "/SF59we4lfvD4x1tl+sD19+Hw+Hpa3e7XZuu/d3FLR07bmy4sXY6nf76b9df7o+WL9kHeq9rR1pW\n",
       "Mp9ndXHVmLoYu3a69KQsnY9uvndxc2UleVX9PB6SseTS3Zxya+jY1tn+TNrp8kvzcnEYx4cbG46W\n",
       "9f7+3l7fpf/+++93v9/e3tq83Pqt6d31yXpbVfXHH3+014/7kPr4+Gh/qz///LNN1/v1jDRy/fOP\n",
       "f/yj/Z3mN46vLiaP0pP56tLcHjm7Tz1br6qfx5L+VsnaMXsW0HTXB93Y1Xq7vFwctA+6uLiy9N70\n",
       "bD/a7/d3v92amo61rs9cXjoeurXh0fV/p26OLXl+qvJzahyLs8+FLn2UntVcf7n8xnE9MweeuT/N\n",
       "bzT7zKrpXV3d82x6ZkrOuG5+uvVbY9pd/+PHjzavVLfmajtdf7k5p+3qrnfjbOm1Yxxbrj9dejqn\n",
       "uj5wZSk3D/R83p0FXTu0bks+qznpc2Q3/9P3POm+1p2R3HOEnq9nnkm1XTN5VWXPuK6/dW1J18yR\n",
       "1ts9c7r+Ts7E6Z42e0Zy5+8kr3QeJHuqG2tu7dC6zewdum6lzzBdWelYmpHux+m+NNIYpe8MnZn+\n",
       "1LLSsdSlzz5HKPc+xdV95OZf8l1udlym+3nyHsjVLY2DPvt31yqtS/qdZiav9Mw7k5fWbWaN5F8g\n",
       "AwAAAAAAAAAAAACqig/IAAAAAAAAAAAAAIBPfEAGAAAAAAAAAAAAAFQVH5ABAAAAAAAAAAAAAJ/4\n",
       "gAwAAAAAAAAAAAAAqKqq1dvb26274OWl/8Z8vV7vft9ubXZtfprX+Xxu83K0Lrvd7str1+t1m5em\n",
       "r1ar9vou3d2r0j7ouJheLpfoemesm4uxGzuqi8t2u23v3e/3UdnH47FNH+Pm+tfFQe93+XX9n85P\n",
       "1996v8ZxlPa3q5uOze7eNMYqGfeu3kuO63QdcjSmXX5pfybr0iNjHGbmwKN0t6Z2e4WuLbNjbUx3\n",
       "17p663z89u1be/3b29uXaa+vr3e/N5tNm5dbc7XuXX6unek86Nbv0+nU/lY/fvxo03VOdeuWo+Pw\n",
       "/f29vb5bj6vu+8jFTOv973//u72+i7Gupy7G6bmjK9vt3VoXd72r25JnHu2jmbGkec2eKzVOXd3S\n",
       "M5Fba7p1S+91c8LFIRm76fOPi3GXn8bUjcvD4dCma126eZDWe3aPHPvUjQ1H+yB5JnV5uXXNjY+x\n",
       "PNdON651jsycedN1Jz3HzDwvp884XVzTsTWzHiu3Dmm73D7VzXcdp65sFxed311c3DqkdXPnyu6s\n",
       "XnXfttlnNR2L6bPdSMdt+g5KaRy6PnMx1f5zZ96xz9IYKr1/yfdfTvp+pBvnSz/DdDQG6b6lkvcC\n",
       "6b7i9shOGqP03NH1fzrOllxrZvtTy5p9Rzlye0Pa311c3H6bvufp1kGN0WwfqJm9I31Pn7Qz/Uag\n",
       "0mecztLPEUleqXRf67iYuT4Yy5qtVzqnuvLS83K6hnZ9mj4XzL5zTq5Nv7uka81IYzTzTYh/gQwA\n",
       "AAAAAAAAAAAAqCo+IAMAAAAAAAAAAAAAPvEBGQAAAAAAAAAAAABQVXxABgAAAAAAAAAAAAB84gMy\n",
       "AAAAAAAAAAAAAKCqqlbfv3+/dRdcLpcow5eX/pt0l75arabKVqfT6e739Xr9pXpVVb2+vt79Xq/X\n",
       "7fVdWZqm7VYuXfPr6ubyOh6Pbd6p260dXndcTFXXFtefWi9XT5ffdrt9ql5VPqbpuO/yc3VR5/O5\n",
       "TXdxSGjdkrGitF4uxpvNpk3XsahrySitt6tbl65luTmT9lc3Xly9tS6zY2msyzi/fiUvTd/tdu31\n",
       "ut6Pfvvtt7vfv//+e5vX+/t7mz7W5XA4tNd+fHy06To+0nHe3Zuuqa6srmw3rrWsmTnl8lZuXKf7\n",
       "e2L2rDDu726saTv1bKCSfcjV0/XBjx8/nq6b2091Ts2uW91ekVryTKRxcHFxfZDMKbfe6lozsz7r\n",
       "epuW7bjxseS93fU6f3VOpDQOXf+6Ma71nl0Dx7rMroGa3vV/eq6YnTPj/UuP25lnOb3X5eXGua5r\n",
       "XZ+lc8b1WfJ8vOQa6PJzZaV16+KQnoddTLWPurq5/kyff90eOebnynYx1ecQF7dk3XMxdmMtedZz\n",
       "9dI+SM68s2e79D1gF5f0/OSkzx0d7a+ZPTLdb116Urf0HOn6vzvLp2tg+m6mG+durqdjwZ2hxrq7\n",
       "vT5Nd+9TurbouXN2XUrHR0fHYvoeYYbrAx1bM+vW0u91R+m3EKUxnXl3qvfOPpvv9/u//nt2Tv0n\n",
       "1yK3Nrg5N94/GzONw8yc0vk5e+ZJ3mm4fSp9V568O509d2pZyTcCpXFwa0n7fNzeCQAAAAAAAAAA\n",
       "AAD4/wYfkAEAAAAAAAAAAAAAVcUHZAAAAAAAAAAAAADAJz4gAwAAAAAAAAAAAACqig/IAAAAAAAA\n",
       "AAAAAIBPq/f391t3wXq9bjM4n8/3Ga5W7fW329fFXS6Xu98vL/33bVc3rcvpdPryWlfWdru9+73f\n",
       "79vrPz4+vkzTdqbtUNfr9enrtR2q659nylZjW921aX9vNpsvrz0ej21eWpcuryrfB2O6u1b7X7k4\n",
       "JLox/4iru+rGrhtLWjddS5L80v5081fb1Y1dN641pq5uXX4aIxczV5aOta5sl5eane9jf7s549bQ\n",
       "b9++3f3+7bff2uv/+c9/Pp32X//1X21er6+vbfq4V/zxxx/ttW4+6/ru1vsubprm1tR0/nZlu7Gj\n",
       "97r+7+jYcjF265rm18XFrbc652bWDq2L6y/l+r+bz5rmYpju39364GKiZbn+7852mj671+u4duOl\n",
       "q3syLp8pa7fb3f3u5qAbt5o+cybWNDfW0meWLj8XU01346PrT01z7XRjLekDF7P0nJKcFdJnlC6v\n",
       "R79Hb29vbV7JHKjy61py5knjkJ4FR3qOcP11OBzadB0PXdw0xirpz6p+7Lp2pZI+Sp6lH/1WXX9r\n",
       "TNM9Umk7u3XLxUTT3RnWjevkzOPqpve7sru6p2uHmwea3tUtfZZL30F1XDu1D9w479aaP//88+63\n",
       "G8fJe56qfjy5emteLoZJjJNn60e0j7rr03dG6fzvykrnqysrOVeq9BnU1X3s79n3H8qNj+QdZLo3\n",
       "ODPvFLW/0/f6I51vM+eKqp/7cOaskbzzr+rX+/T8lL436PrMjR037pOyqu7HlttP3Tvi9D19N671\n",
       "vOTOzy4uY7q7Nn1P69rdxVXLmtkLHuU3Q+M08y0zle4t3XxOn7Vn1m/+BTIAAAAAAAAAAAAAoKr4\n",
       "gAwAAAAAAAAAAAAA+MQHZAAAAAAAAAAAAABAVfEBGQAAAAAAAAAAAADwiQ/IAAAAAAAAAAAAAICq\n",
       "4gMyAAAAAAAAAAAAAOATH5ABAAAAAAAAAAAAAFVVtdput7fugpeX/huzpq9Wq/b69Xr9dF63W1u1\n",
       "ulwubfr1ev3lspW2y11/Op2+TNN6uJi5OCRcvZWLsav7kmVpHLq2pPVy1ydxc+1weem4df3f1V3L\n",
       "6uZAla+7S0+kY/F8Pn+ZpvPN5b3dbtt0vb9rdzp2tH9VV9Zut2vzVl3MHtVls9k8fa06Ho93v11c\n",
       "XB98+/btr//+7//+7/baf/7zn23677//fvf7t99+a69/e3v7Mk3nULfWV1X9+PGjTR/vn13r3fxW\n",
       "XZ/qOHR168ZO1bJ7hY5rN867eeLGtXLt1Dh1dUvXKVdX10djus5Xpekz65bWK4250rh0Y8uNDZ2/\n",
       "LoYubn/++edf/304HNpr3XzV8ZG2ZaT1dnu5q1vSp26cv76+3v12c6xrp8bcxcy1U8dWV7fZc4fq\n",
       "xqKW5fJOzzxd3Nwc0bGQnu3Vfr//679djNPzcne9i5mex8Z6PpLU3a2Rbm1Jn1k/Pj6+THNzSKXn\n",
       "kK4P3PlKx5a7PjnjurzcWNM4dHFMz+pufHR7osbArbcuXesys3akz4Uuv7EuSz7nP3O9rg8jXVtc\n",
       "jN2c0vy6sl1ZyfmqKlsf0vnsxnn3fKVrZLfGPVM37QMXx0767jQ547p2uDOs9kFXttvz3t/f7367\n",
       "PbWrm7ZzyXFZ1a8l6bvQmfVZpe8M3f3pmXekY2v2nWCy5i69Pid1nz13anp3/exzvurqnuaV7qHd\n",
       "PuTmp64Fs2eHMa7pNx+X7uZUl56+G0vexSbno2ekc7DjYrbkGprGYclvHelzgkufeZeart/te51f\n",
       "rgUAAAAAAAAAAAAA4P8UPiADAAAAAAAAAAAAAKqKD8gAAAAAAAAAAAAAgE98QAYAAAAAAAAAAAAA\n",
       "VBUfkAEAAAAAAAAAAAAAn1a73e7WXbDZbNoM1uv13e/brc2urtfrl2nn8znK6+Wl//6tdevKdmVp\n",
       "HFar1VTdlqTtmim7i9GspWPS9YH2vauL689kXF8ul6m89H7XJ11ctV0uLi4OyfVpf7t26vowk5dL\n",
       "d300Sseau74rW9O22+2idevKdjE7nU5R3V5fX9v079+///Xf3759a699f39v0//nf/7n7vd+v2+v\n",
       "3+12X6ZpzI7HY5uXSx+5tcPtx1pvN2e6dO1vNyeSOVM1tx+4ca10bI60nW6cu7L1/m4euDmi/TPT\n",
       "n1VV//rXv/767/TM43R7gaa5ce7aoTHu+iTdC1xcXN3Gth0Oh/badO1w13fl6RyYOVdU/byGdmuq\n",
       "y0vngRt7XX6aNnsW0LHb9UFaVrcupVyM03Nnsje4vNyamZxT0rVffXx8TN0/0v12yXNn+nzb5VWV\n",
       "n+27vGaf5bQuyXnLmXlvoGluHXIx1T7q+sz1Z7ofd3HQdSfdb1VyTnFrnpaVnJ8fGdei2T1Px6l7\n",
       "jljy2Tztg5mxpulunI/p7syT9n/6XDHS+HfrTJWfY3pO6fJLY+zOxF1c//zzz/beVDIHk/Nw1dzZ\n",
       "Lt3D0rGTvGNS6bvT2bPCyK1D6Xzuytb+dPPZjWutW9f/buxof8+8s0jfCzjJ+px+d3GSZxa3B6Z1\n",
       "S969uLzS85Ya6zL7DiLdv7u4pd/RXB+NcZ098yi3v3dxTb+7OHp/1xbX38m78Kp+XGtZ7j2fkzxP\n",
       "z37LUt3awb9ABgAAAAAAAAAAAABUFR+QAQAAAAAAAAAAAACf+IAMAAAAAAAAAAAAAKgqPiADAAAA\n",
       "AAAAAAAAAD7xARkAAAAAAAAAAAAAUFVVq7e3t9tMBufz+T7D1aovsEl/ebn/nr1er9u8NptNm367\n",
       "Pd80bYdLd3XTtjyb9kjSjqqqw+HwZVraP66dLr+xrafT6elrn0nv+t+VpVw73Fgb43S9Xttr3VhL\n",
       "+7uLm+bl6rYkV5bGdLvdttd3cdGYpnPM5deNDzd21Gzdlixrt9vd/d7v909fq3StcOPY9fdYniv7\n",
       "999/b9P/8Y9/RGV3Y1fHhltrkjnnYubWY013/d/lp/d2+0qVX9c0v27epPuxi3HSB8me9ojGtCvb\n",
       "5ZWONZd+uVwe/vcjGgc3Z5KzXbpmKq17F8f0zOPGnovbmO7yctLzdbdOaoxcO9xY0vWga+vxeGzz\n",
       "0nXPld3FIT3juDgkZbv1Oz2nzM6ThNala4url8bUzYPkfO36y/WBzpGuLWlZrmw3NpOzoTsTaVmu\n",
       "bl26prl6pmvLzJzS9Jl3EGnZ6fNxt4e6/VXLcmV3Z/nkjFKVP7O6unV0bLmyk3Ppx8fHL9er6ud1\n",
       "amYepM/56Rm3u96tt5ru5swY15l15lFZrq7dOqhzIH1+UjpHuznrYqZlpXvqs2mPuL3j7e3t6bxc\n",
       "2T9+/Lj7/b//+7/t9X/++efTZTtu7dCYJ+/SXFluvibzf/bMk5ztXHr6nt7FQftg5h2l1s3l1dU9\n",
       "nZ+Ojg+3riV5peO8s+S4dVwM0nGbPDfOnFGqfo65m6Pd2uLWYzXz/Um5mC35PSJ5b1OVv4vp6rr0\n",
       "OtTNqfSsnsa4i4vLKz0rdPgXyAAAAAAAAAAAAACAquIDMgAAAAAAAAAAAADgEx+QAQAAAAAAAAAA\n",
       "AABVxQdkAAAAAAAAAAAAAMAnPiADAAAAAAAAAAAAAKqqavX+/n7rLrhcLosWeLt9Xdxqtbr7vd1u\n",
       "27xeXvrv35pfV/b5fG7zSq3X6y/TNptNlFdat67PrtdrlFfXjmfSxz7S/lBp3br+dHlpvV2fuLE4\n",
       "1uV4PLbXOhonNwe78ZHMgWfSE66/df6667u6aV6u/11/a126/FzMtCzXn1162p8upjoPdrvdl9d2\n",
       "aVVV+/2+/e3KVmPd3fz7/fffo3TXlq6/T6fT3e+Z/qy678PZ/lRuj+zSNc3ldTgc2nRtW9dWFwdd\n",
       "87RPVBc3bZdbG1x/pmtRR+PgynZxGNNdf+ocmTkLaL1dTNx817K6uKRzaqa/qu5j7M5uydpQ5evW\n",
       "pX98fNz9dvM1GUvu+nTdcmMt2Y/dfHbjQ+dJVzc3p7QsN85fX1+/TNP9dSavR/d3/ZnuebPPkeOZ\n",
       "+o8//miv1XGutA9m+lPndzqfu3Q3B1xeOkfe39/b67t0HWtvb29tXumzeTfW3JqnMXdrbjc+NKbp\n",
       "Gujq1nHrsbbLznH5jAAAIABJREFUzfduzU33lfQc2V3v1uP02dyNxeR9i1s7NN31fxdXHRvJu5Rn\n",
       "dGMvPcO6GI7tdHm7duq4ds+RXd10DriyHe3vbg6mz8uubl0703eK6TuLrg/c2qHrmns/1q1bWpY7\n",
       "C/zrX/9q03WsJs/DjtuHXNzGseZilr4jduOla2s6p9x6oHGYea+bPmd0+SXn/qpsjXRlp+2YOXem\n",
       "ZaXv8ZP1Wem4nnlHXJWdx9J3xDN9kJ4Fkufj2T1P+3Nm/U7nlJO8V0rPsEt+d0n3Z5WsHWleM++c\n",
       "+RfIAAAAAAAAAAAAAICq4gMyAAAAAAAAAAAAAOATH5ABAAAAAAAAAAAAAFXFB2QAAAAAAAAAAAAA\n",
       "wCc+IAMAAAAAAAAAAAAAqooPyAAAAAAAAAAAAACAT3xABgAAAAAAAAAAAABUVdXq27dvt+6Cy+XS\n",
       "ZnC9Xu9+v7z036T1+rvKrFbtvWq9XrfpaX6dtJ1d3W63+5C7erp0za+L8fl8jvJyZe92uzZ9jMNs\n",
       "f2i7TqfTl9fOxlS5diY0xkr7qOtPl5+muTkzM3+VWzs0fbvdttd3fZCMjar5cT1y/anpLi5dftp/\n",
       "s+N8s9m06TN5vb6+TuW33+//+u/ff/+9vfb79+9tuvZnsm4p7Z90TVVjHNy1bv7p/D0cDr9cN73X\n",
       "le3GdSId125dS+aUy8utU1q3ri0uZsfj8e63W9eS85q7VuudrBWOi3F67vz4+Pjy2i6t6uex4frX\n",
       "Gevm5p8rS+Pk+v/PP//8Mk3XqXTfcrq2uLy0v92a2qXrnHHjdtxnHknmsxvXuie6fev9/f3LNF3r\n",
       "071BaZy6PtMYK+1PVze33o91d3PA1e3Hjx93v7u1Jl0L0rO9Guvi+svRM863b9/a67uxq2npWFJ6\n",
       "/8xYS55/q/o+SPNy+5SO1a6dbmxoXm5f66TjOj2Pdde7saP3uvnu1txxfXfPJG7cLvksl+6vriwd\n",
       "D914Sp/N3fVj3Nw4dnR8pONl5MZGklfVz/NmyXeMrp1d+tvb291vt9a759/k7O9irGXN7B16VnNj\n",
       "7d///neb/q9//evud3d+duttOmeSZ/30eUil7xQ7Ojbc/uzWb9XVza3PWje3zyXPLG6cu5hqeten\n",
       "6TtfF5ekD2bPndoHM/kl58Sq/J1GJ31mmXn/pXm5spf89uWef3VspefUUToW0ncUXd1mzyUqacvs\n",
       "e93/pJmxxL9ABgAAAAAAAAAAAABUFR+QAQAAAAAAAAAAAACf+IAMAAAAAAAAAAAAAKgqPiADAAAA\n",
       "AAAAAAAAAD7xARkAAAAAAAAAAAAAUFVVq2/fvt26C67Xa5/BahUVeLt9XZymubJd+m63u/u9Xq9/\n",
       "Oa/NZnP3++Wl//betdOVpbp6Pyrr4+Pjy2tdvbU/XdlOF4fZvLRPRtvtts3rfD63v9XlcmnTxzi5\n",
       "GDuuLqqLscZodj4n+bl26L2u7C59v99Heblxqend9W5s6Fjsxm1Vtk65sl1ZukZ2YzddIzVv9dtv\n",
       "v7Xp379//+u/3TqU9vfMuqYxcjF2fTTOE7d2uLzUzPqblpWeBdJ9cHQ8Htvf6nQ6fZmW9ufr62ub\n",
       "rmtRF0cXA713Zu2ouh8P6VhzYylZt1y7u/56lN71vxvHmpfbt1z6uN67OeHaqTF1fXY4HL5M03Oh\n",
       "i0s6Nru6uTjoHuni4ub7SOejcvtUsn+7c6fWxV3fpWu83dx3Y0fb1fVBOqfc2pHs325suLr9+PGj\n",
       "/T1K11vXTle3Md31l9uHNN3l161r2k43btPzdVe3dNy6srt1Te91a3233j6T/ygZG1VzZx5tlyvb\n",
       "zU/toy7Gbv5qXm9vb9H1ahyrbq136RoHt0cm7wLSGKvkmXXp93rjWHR5p++z3Djv5mj63OfWNY1L\n",
       "N29cf+lZwO01ybnD9Z9b1zRO3RnKzRmt98w5RfNyZzvXBzpWu7XJjUM9X//xxx/t9W7vGPvIXZum\n",
       "u/W+Wzs0pjPnimfSR+l5zNUteS+Qrolqyeel9FtJl9/S73l0LZp5p5i+I3b9Paa7+ezStW4z80Db\n",
       "lca44/KafbeqkvO1i5mrm65rM8+s6bPc35VX1c91nzl3LNmf/AtkAAAAAAAAAAAAAEBV8QEZAAAA\n",
       "AAAAAAAAAPCJD8gAAAAAAAAAAAAAgKriAzIAAAAAAAAAAAAA4BMfkAEAAAAAAAAAAAAAVVW12u12\n",
       "t+6C3W7XZnC9Xu8zXK3a62+3r4tbr9d3vy+XS1S22mw2T5f98tJ/S9d2zdRN89put21eXb2r/h97\n",
       "d7IcSZJdafgC8AmIiKysIld8/xfjkmwpySkAHwH0BlKifgJ+j59Qby7Y/7dKEzXX8epgZhmCqtPp\n",
       "dHat7b42rerHMXDcGBwOh3/9t2tHGjvdmLm8lGuHG6Mxfbfbtfe6ftAxcG3R8e9+OzM/q7L53tWr\n",
       "6sc5lM7B7rcujtM5N7N2aLor+8uXLxfTNptNlFcaa12/ubVD6+Lq5mJxTHf7kGunprv46MY0zcu1\n",
       "cywr7WOVrt9dv41r92fXys33pOz0t/v9vr2/W5OPx+PZtWun3q90XevOCi420r3ArUUuvkbax26P\n",
       "7Gi9XZy6WNput2fXXd3cWU3n1Hq9bu9/fHxs08e2ufFwsfTy8nJ27WKzm1O3nDNV+XzvpHHejbe2\n",
       "08W8KyvZ175+/drmpXWZ2Yf0t+keqLRPk1hy0meYjptTjpbVle3qpXPIrTWuH8a1xe31rh90PGfO\n",
       "11qX/8nnCJdX+hzR5ad5pecppyvb9anGmu6Bqotd3Xfc3u7iWnX5zZ6XlXs2SMYw3fuTZ5gk7TNp\n",
       "XHex5sZb6+b20LGsW88ZF3tJbLq6pc84M3Gu6a6Pk/d6yTn/M8n+7uJY56c7P3dzUPOafZ+p7ez2\n",
       "XDdnNH32fDyev91ZXJ8T1O+//352/dtvv7X3d88GOt9m1sCq7DzmpO9muvhJ3/k7yfnaxVry3s7l\n",
       "l+wbVfk5Mnlv6+rm+iU5E6f7r9K9Yub9iI5fuj+n6Qldc2fOb+n52vWDrhXdHHXriqa7WOr2Cv2t\n",
       "e88z+0w7SmPH3d/tBfwLZAAAAAAAAAAAAABAVfEBGQAAAAAAAAAAAADwgQ/IAAAAAAAAAAAAAICq\n",
       "4gMyAAAAAAAAAAAAAOADH5ABAAAAAAAAAAAAAFVVtXh7e2tvOBwOUYYPDw99gYvF1b99f3+Pylan\n",
       "0+nq/JbLZZuX1q1rhyvreDyeXbs+dmOk7u8v/38Br6+v7W+1zxw3RmNd7u7upsrWunf3d31QVbVa\n",
       "rc6u3fi7fkvKTsfb5Zfk5WLJjZHWpbvf1Vt/OzPfNS+3Drm6JXVJy3Jrh8bm6PHx8ex6s9m0ebmy\n",
       "1uv12XU3D1yf7ff7s2td55Tr47Ef3Nrg6qb94Pql6wdNc2uHm1Pj2jK756XzvVuLdPxcXq7uWlYX\n",
       "Hy4vrYvr425OaSy4OeVicbvdnl13fezy0n5w+1Cyt7g5o+uaW+e6+NCyZtuhujn45cuX9rea3sVK\n",
       "VdYP6XlKabvcvOjK07T0vKW0Lt34p2uD042BzmfXDjfeT09PZ9e6B3dlK6337L42cmugk5xxXTvT\n",
       "uHd1H2PLnStcO7TuXSylZzsX565uY2y5uEz6rGpuLUpioyqPRT2Hjty5Q+PBtbOLXa13+hzpdHVz\n",
       "fayx6OrWzRPt0+Q5/pr0ZB9yeXWxUeXn6Jju4tLtQzpGbh3sytN6u1hy8ZHMOTeeeu5I1kF3r6un\n",
       "xmJ6Rh7pHHB7h+sX3fu7tqTPSzPPV9ou18fuGUfr0sWe6zP9rT4fuftHGgvpOyalsdrd757zk+fb\n",
       "qmxf03crrmyl/fTLL7+093flaVluXdrtdm26xvXMO6j0nNLRerk9Mn132o1/uoa6WEq+Cbh2pmto\n",
       "V3b6DsJJ6paen7u8rrm/69fkW9U1xnNJGpfOTH5pn6Xnzk76TOLWki7WZr7ZfEbrPnPuuOWzHP8C\n",
       "GQAAAAAAAAAAAABQVXxABgAAAAAAAAAAAAB84AMyAAAAAAAAAAAAAKCq+IAMAAAAAAAAAAAAAPiw\n",
       "cH+k3P1B5lv+YWr9o9Szf+Rc/xD5zB+21rJcXt0fQU/rsVqt2nTt067f3B9n19+6P7id/EFuN57j\n",
       "H36/Jl3/8HxSL63Lcrls73djNsaHi8vUzB+ST/9o/S3HO50jrm5devqH4R2Nj67sLg6rfpy/Ls51\n",
       "HUzyTmlZ3frgxkfzcmPi1qJxb3p6emrv3Ww2V+d1Tdkze4Vy695Y99l1SPt8v9//dN00zfWZq7vq\n",
       "6nY4HKLfuvu32+3FNG3XrdeS9Xp9Me3bt2/tbzVu3drg0se1yt2r8z096420T10fu3VN69aNv2vn\n",
       "77//3qYrt36PbXPtdPNZ9xY3Bu48P3LreboGdvm5emtZ6f0j7QMXS248tS7JeUulzyRd7O52u/a3\n",
       "ypWl/TBz3tJ2zsbtmJ87b6XPhV3ZaRy6sru9oOo8Vt1+mq4tro+7WNN+cP2SnhW6+914J8+/Lj19\n",
       "/nXnDm1XcrZX6RgkZs+7OkYza4f+1s0pd8Yd497NvzR2XN26Oaz98PLy0ublxkjLmtmPtW5u7Rj3\n",
       "Drefury0bm7Mujml88+dBWafp0dubdDxnnn/obExu25pP3Txkj4vzezfWm83Xi7WdM50sZvu7S5u\n",
       "XT+M8eHG69bnsa7u+tvv37+3eTna58k3AqXzIHlWU9pOF0tujLRuM3uu9oObB935Sts1e65I3qek\n",
       "58jknaHjYin9VpI8wyhdW275rs3VK31mdXGejMHMd7Sq7KyYfpdJx78z+04xOfunfTrzXY5/gQwA\n",
       "AAAAAAAAAAAAqCo+IAMAAAAAAAAAAAAAPvABGQAAAAAAAAAAAABQVXxABgAAAAAAAAAAAAB84AMy\n",
       "AAAAAAAAAAAAAKCq+IAMAAAAAAAAAAAAAPjAB2QAAAAAAAAAAAAAQFXxARkAAAAAAAAAAAAA8OFu\n",
       "tVq9dzfc3/ffmA+HQ3T/crm8mPb+fl4Vl9fd3V2brr/v8tOyXfrb21t7/8PDQ5t+bb2qqo7HY5uu\n",
       "den6xZWlXB+79NHr62ub7vpMy+rGzNXLjZ9y/Tamu/FKY831S5euaa5sR9t2Op2m8hu5unVjoGnd\n",
       "OlOVxa0re7Vatb/dbDZn17/88kt7/7dv3y6mabtcHO/3+zZd1++ZtWO9XrfXarFYXJ2f62M3R/T3\n",
       "Lj66/PS3rh2ubuPvXb3S/fjl5aW9f7fbXUzT9Tpdn50udtO43W63P12WtrPrk2vqpr/v1ki35mmf\n",
       "J+eKz4xj5PLSert9LclLx0+5Ptb8unnh4lL7wa01zpjfzJ5W9WPd3RmqS9c+c3mlZ6RuHXRl3fJc\n",
       "ka7PLl33469fv168N92nXHwka6TrMxdrWrduzFxs6G9d2cm51MWSW7/1992YudhQ6Tmk+/3sM6au\n",
       "HTPPJenzr0vX/Lp+TtdIF0tdP2i93fi7vUVjrSvbxXX6XNiNgZ4L3drh0rXuri0d7VN3JnbpY91n\n",
       "55Q+y7n46GJX6+3mp1vXtG1a15Frp9Ytea83+85I011du37TuL3l+6yqPp7S81N6/0j7KHlfNZuf\n",
       "W2+1T9P3CF29ZiXnFFdvnW/p+2k1zim3xrnY0efj79+/t/f/+eefF9Oen5/PrmfeMVT9WPfkHKJ0\n",
       "PNPzW1dWuj+n+Y/ceGrszLyb0bxm3xEnZ5603rPPEeN+kL57cXVzkvU9PVeqsZ9m+yx9Zu3qnr6/\n",
       "vuWccn2WnhWS93quHW6dSr+NdtJ3St385V8gAwAAAAAAAAAAAACqig/IAAAAAAAAAAAAAIAPfEAG\n",
       "AAAAAAAAAAAAAFQVH5ABAAAAAAAAAAAAAB/4gAwAAAAAAAAAAAAAqKqqxd3dXXvD6+trm75cLs+u\n",
       "Hx4e2vu78rSs0+nU5pWW9f7+fvHeLu3WXL3V/X3/nT/pN1f2arWaKjtNH7lY1PTFYnF13krr9fb2\n",
       "1t7v4mP8vauXGwMty5Xt5snItdONt9Zd5//oeDy2eekY3HIOpuvWDDfe6/X67Nq1s0vfbrdn12kf\n",
       "u7K62HTt/H+5hrq4fHp6atM3m83Zta5zSXnap7Nr4Jju5rIb791ud3bt8uvSdb1167Nb17SsLr90\n",
       "fFzdDofD1fWa3Qt0bUliSel4f//+vb2/a2fVeT+5NTDt4y7969evZ9eu3RrHKtkjkzNI1Xycj/3m\n",
       "YildO2byS9et9KzgxiwpKz0jj5J1purHvUFpbO33+6vvVdrOmX3I7YnK1U3Xmm7809hxZweX7sZw\n",
       "5NY1TZ95LkzXSLd/j/02m1dat27O6Xi78XLxkYxnOqdc3t2c07XDle322+QZx81nrberW7JOubxu\n",
       "+czq9hVNn92nxn6b2VeqfhxvN/7dHE2fl9Ix6Mbf7TtfvnyJyh77YfbZWudg146qvh+Ts3hVvkZ2\n",
       "sediQ/NydUvmlGuHey7U+OjGPz2Tps+JI32X4vJy6ZrfDK23G099l6PGMZx9T6/pLja7s/zz8/PZ\n",
       "tZufLj50jrq6dfRcMvO+U9OS96yfSX6fPps73f3aR25fSs5uVX1bXJ9oXW75DtK1Y/Y9kEretTlu\n",
       "/Mf02fFM29ndnz6bp2V1+bk+S54Lq/r4SN9npPtx15a03i7OO/wLZAAAAAAAAAAAAABAVfEBGQAA\n",
       "AAAAAAAAAADwgQ/IAAAAAAAAAAAAAICq4gMyAAAAAAAAAAAAAOADH5ABAAAAAAAAAAAAAFVVtbi7\n",
       "u2tveHh4iDJ8fX1t0+/vL3+zXiwWZ9fv7+9tXnp/UpY6nU5X33tN3l269rlrp0tfLpdt/temfca1\n",
       "043B8Xj89L8/k8ZO1y+uz7QfXDtd3d7e3i7mneZ161j82XuvMbY7SfuMW2u6MXVxmOT1WV1m+k3L\n",
       "cvHx/Px8MU3numv3arVq05N5kPaZq9uvv/7apj89Pf3rv798+RKVrXRO7Xa79v5ujmpZrl9c7Oz3\n",
       "+3/9t+sztzYcDoeLeV9z/0jbpbGnXN2139J1rjNzVtB2bTabNi9Xb03fbrft/R2Nw/V63d7vYi3Z\n",
       "pzTdjW+33ut8c3uDG8/Z+2e4c8zYtuTc8BmNTbfOdeOvcT17HtPfd2WnZaVn3i7t69evbV4uXffQ\n",
       "bv679Vb7yPVL16daj9kzrObXjYGL2/QZx/VD8tySPtN2e6DrM22Xa+fj42ObPo6hy2t2L0jomdTt\n",
       "gekYpO8ZurJc2cmzeRcbLq+qH/fMbg91461zzs3BLl3Lcu1M99duPF3cprHgzqVjP7i4dX2qdXP3\n",
       "J3vi7HsBHaOuH9N3Tu7sN45BWk+lc9DFS/Ks5tYGF0vJM276XOjWkm4802fS9GzXxXn6jsHFR3eG\n",
       "0nqlz5xKf9/d72JD+9SdaWbnSVe20ucvt9536To+M2tgVfac6fpM+2HmnaK2a/Z8rZKzvdK6udjs\n",
       "8kvXofTs18WHW481FmbHwL3bSWg/uDmV7Mez70fGfkjPNE7yjslJ30EpHYPu/vS8nJ7Hu9/Ovp9K\n",
       "nvXT9XZmPPkXyAAAAAAAAAAAAACAquIDMgAAAAAAAAAAAADgAx+QAQAAAAAAAAAAAABVxQdkAAAA\n",
       "AAAAAAAAAMAHPiADAAAAAAAAAAAAAKqqavH6+trecHd316a/v7+fXS+Xy5/OT+viyt7v9236w8PD\n",
       "1XW7v++/pZ9Op7Nrbbfq6v729hbl5dI1v67stCw3Blq2Gvs17eMuL5dfOj6unS59jDXXTpeX/t71\n",
       "SzeHk9i4Jj25P10Ljsdje3/XD7vd7up6VfkxSmLNrUPaLtfO1Wp1Mc3FdXp/sn5//fq1zUvrvdls\n",
       "TO16Yz89Pz+39y4WiyjdrVvdnNJYc3uoG+9xDNK1Xmld3Nrh8kvycnNK2+bu7+h4uvHvaB+4Pkn3\n",
       "lvV6ffW9Ll3PNCoZ77Rs1+5uHmiamxOHw6FNV92a6drp5m/qlmce10+qW7+1nTNn9aof972uH11e\n",
       "Whd3fzfeT09PZ9du33JzKjkTp89LTne/xpZbt24Za+kZ19Utec5webm9QPu0G3+3Nmg/dGt9VR+3\n",
       "Wt7MM+ZndXOS8U/7xUniXGmfzqz3GgtuvNJns+5+l5f2kRuDbh5ou2b29vT+dI1MzqifSfZj1w+6\n",
       "582saxpr6T6ktG1dfu7ZTOND91Q17t8uVrbbbZuevh/r2pm+n3R0/PVZsCs7TVfJfHZ7YPqex8Vm\n",
       "UpaLpcfHx4tpGuMu1tI+Tp77lcat67Nkvrt73Tqkv0/ms9JYm33/kTwvu/HUMXJj1j1n6jrl2pn2\n",
       "Q/feMD37pePfce1I14KZtUN/m87nzuzaob+fef7Sds68G6s6r9st16HPrmfMPsPoOSb57qZ0fNx5\n",
       "vNtjb3mG+Sy9q1v6DtnNg67f+BfIAAAAAAAAAAAAAICq4gMyAAAAAAAAAAAAAOADH5ABAAAAAAAA\n",
       "AAAAAFXFB2QAAAAAAAAAAAAAwAc+IAMAAAAAAAAAAAAAqooPyAAAAAAAAAAAAACAD3xABgAAAAAA\n",
       "AAAAAABUVdViuVy2N7y+vrbpd3d37bW7f6bsh4eHNv10Ol2d32q1avNy6a7srh6uHa5sze/t7e3i\n",
       "vV3aLe7vfn9/3///Ci4Wj8fj2XXXx+v1us1L49CNgYvb8fcur3ROubZ0/aDj58pOzcTaYrE4u3bx\n",
       "0aVrXi6Wuj6ryuLexUYyP6uqvnz5cjHtH//4x9n14+Njm5cr63A4XH2/i0NdpzabTXt/0m9pO1xZ\n",
       "Lr/n5+ery3Kx5NLHdrr56eaIrj0uv65umpdb11y6xqrO2WvTqn5sl+4Nqou1NDZc3LoxGrl2Klc3\n",
       "t+69v79/+t/u3irfx13dtE/cmcb18S33NS3L9Ytba8Z54Nrhxl9/79rZjZGu3+n4Kx3Trm5ubdC6\n",
       "uTnU7Xu//PLL2XV6rlQaa92Y3fJcUdXXXcdnv99HeSudk13suvmrfeTa7frNzbmRi51kHrjYUG4+\n",
       "u34Y55CbM472qSu7a6vm5c6Cbu3Q/Lq2pmvk7DNrl7dKz2NdHKfvTpJYclw7XFma3q1brqzkOb8q\n",
       "e0/k9gJHxzM56yk3R1T6bNDl7/YKbed2u23vH9Nn90Btp8uvmzfaJ7Pn5+SdRfLOyOX1Wdkj3Y9n\n",
       "1+fdbnd23cVeeo5M33+NtI/S93xOtwe6vNJ1K3ln4fo4fYfs3s106drnruy07t3Z3tVbuXVO43z0\n",
       "8vJydv3XX3+1ebk1Usvq8nNlabvc2tGNQfoNx5Wlv+/mgYuNtJ3uuWT8ffr9SOl8n5mj2q70XKnG\n",
       "fSw9byndM2ffG4zSWFJujEbpez1XdvJM6spO5+/MnErLbuM2KgkAAAAAAAAAAAAA8L8WH5ABAAAA\n",
       "AAAAAAAAAFXFB2QAAAAAAAAAAAAAwAc+IAMAAAAAAAAAAAAAqooPyAAAAAAAAAAAAACAD3fL5fK9\n",
       "veHurs3g/v78G/Risfjpyry9vd0sr6qq0+l0dv3+frmprp1aF3e/tqX7bVevn9GV7eh4una+vr62\n",
       "6WPbHh4efrpen9G6zpit2/h712dpn26325/OL51D+/2+TU/iw8V1Og+SebJer9t0N95aVlf2crls\n",
       "83p6ejq7/rd/+7f2/v/4j/+4mPaPf/wjKtutBdoPXTt1PU3LUsfj8er8XN5uHdJ0F0vdPNB673a7\n",
       "Ni/Xb2P6LedAle+3bv66PlWbzaZNf3x8PLvuYtfNX12H3F7QzXe3Hid5VWVrh1tvNXbcmLhYG3/v\n",
       "2q1x7mKpGwOdI27OuHa6fru2Xtekq8Ph0KaPdXf7r1u/tR9cvyRxPnvm0XNJF+euHzTdzf+vX79e\n",
       "TNP91o2vW1M1Vrt54PpUx2D2rDhy+2m6dnRj5sZT+zzZAz+TnC3SZ9aO61Mty/XLarW6umwXl+l5\n",
       "a2aPVK5uLi9NnzmH6Bi5vaEbU22Xa4dbvzUeujh37dQ+Ss+8HddnLl1jsYvN9JnUtSPZj90ccOOZ\n",
       "PC9VZeM9ux9rXHdt0bO40t+6MUueS9xan5yfq/q6aTu7c8Nn9yuNn27MXKyl80DPNSMXtyqN2259\n",
       "dnGra8HM+87n5+eza/duLH0H1a1bbr/Vvd3d756BxnR3Dkn3dncO6WJTf5vugSp5L+Dqre10Y9DF\n",
       "h5bl1i23D/3+++9n1//n//yfi/f++eefbV4aD65uXayl7xhcO3VOdbHpzurJN5wqH4tjXW79TnHm\n",
       "m5C2K/0epZJ2OumZOGlnuj4r7YeuX9x4pvtU8sySvkt1ZXVzyo23rh0z75z5F8gAAAAAAAAAAAAA\n",
       "gKriAzIAAAAAAAAAAAAA4AMfkAEAAAAAAAAAAAAAVcUHZAAAAAAAAAAAAADABz4gAwAAAAAAAAAA\n",
       "AACqqmqxWCzaG97f39v0t7e3s+vj8djef39/+Zu1luXyuru7i9K7tmg7XHrXDlc316dJXlVVDw8P\n",
       "Z9evr68/XbaWdTqdpuo29pPr4ySvqr6dXVpVlca99qFy6WPdXNmuH7TPXax1Y5rm5dJd3UduPN3a\n",
       "k9CyXNmr1apNXy6XZ9dPT08X7/327Vub1y+//HJ2/Y9//KO9vytL6615Kxe3arfbXUxza4H+drvd\n",
       "tvcfDoc2fSzPxZ3bK7Qsd/9+v7+qXlV9n312f8etHekaOUPz2mw27f3pGHVtSdfjmTVX2+n2SBe3\n",
       "WpeuLa7eyo2vrltq7PNkT6vq50RVH+fp+uxiybVzlJ633P3JvuXa4cpy+5Tq+lX7bHZNveVao/V2\n",
       "a816vb6YpuPj6unWZx2D5AykdLzdPOjo2uFiyc0ZbefM+KbtTOZUOp+dmXbqGMyua+Oa7PokfQad\n",
       "ef5K1w43RpqePMMorbfrl65f07hN19Cunelz3sxZMF1vXTv1DHzLZzt3Tun2gqrsOSJ91+LOgsl4\n",
       "uzh38ZGeFTo6fm48x35zc//r169tuvaxy6/rF123XB+5dO2Hmf1buby685iezd2cSd/7dvPGxa2O\n",
       "gWtnN976bsStW472Q9cW1870Xbjrh7Ft7jkxTZ/Zv3WtT9+1Ku3X7v1XesZ18dHNdx0ft8+4fnh8\n",
       "fDy7/vtvchTgAAAgAElEQVTf/37xXrfW//7772fX6Xv95Lcpfe/XrUWuT1PJeyD3POTSdX7PnC2S\n",
       "8/A1xn6YeV6t+rHe7szTxW5yHq7K3193Zafr0MzZX+sx+xyh6d27uPRMMhNr/AtkAAAAAAAAAAAA\n",
       "AEBV8QEZAAAAAAAAAAAAAPCBD8gAAAAAAAAAAAAAgKriAzIAAAAAAAAAAAAA4AMfkAEAAAAAAAAA\n",
       "AAAAVVW1eHh4aG84nU43LfD9/f1i2t3d3dn1YrFo80rr/vb2dnXZqqv3LJe3q9v9/fn/B9Dd3/VB\n",
       "le9T9fr62qaPbXPtcGVreteWNHa0D2e4st0YuH5Sx+PxYloyB66hdeti18W1pqexN9J2uT50Y6Tp\n",
       "q9Xq4r2Pj49tXt++fTu7fnp6+um6aZx2Y1+V98N6vb54r5vraay5/Lbb7b/+27XT5aXcvtalf//+\n",
       "/ez6cDi0ebl5MNbd5ZVyc2qz2Vyd1+xZQOO+y8/1QzI/q/p+WC6XZ9duL3B9qnXrYtPlpbHj5pRL\n",
       "d+vezG+7sjUtbbdKYtGVpWvk7Flg/L2LY5eudddYVS595PrYrblJP7l7df7O1E3Lcn3i1g7Nb7fb\n",
       "tfcnebk47uaU1tvtgS5d69bNdxe36TnT9UPyHJHq+sXFYfoc8T85fzXd5d31q6alz2pK+7ybUy42\n",
       "tCwXH1269lnax65uM89LOqdm6qbz1631bs3Tsro5lT7/uvU5WQ9m1tuqH/vNraldftpnbu1w6cmz\n",
       "nHsGTffQMc5n3/Mk7XB1S8/26R7ZtcWVpeM/80yqZs8CyXqfntVmzte3fm+n+XXzwsW19ul+v4/u\n",
       "V8m7ADcGWhcXS13dtR9m353rGtntRe4ZVOf7zDkl2burqn799dc2XWOre2/o3sto3f75z3+293ex\n",
       "pHE4+54nOcPOvr9UyXnM7fWuH3Ttce+Bu/muZc3MT+XmTNrHyfgq7bN0H3K6fkmfvdze0pWV7u2p\n",
       "rm7p+dqtkV1Z/AtkAAAAAAAAAAAAAEBV8QEZAAAAAAAAAAAAAPCBD8gAAAAAAAAAAAAAgKriAzIA\n",
       "AAAAAAAAAAAA4AMfkAEAAAAAAAAAAAAAVcUHZAAAAAAAAAAAAADABz4gAwAAAAAAAAAAAACqqmrx\n",
       "+vra3vD29tam393dnV3f3/ffpLv0NK/T6RSV9fDwcPHe9/f3Ni/tB9dvSb1cO9OyXFuSsnRMZspy\n",
       "eaXp7v6OjqeLJVfWGFuuT1xeOgZuDnZ1d+1Si8WiTddY7driyt7v92fXq9Wqvb+bv1qPmT6rqnp8\n",
       "fDy7/vLly8V7//3f/73N6+vXr2fXbj5364G2y7XTpR+Px7Prrl8Oh0Obl47nb7/91t7vxmC73f7r\n",
       "v3e7XXtvukbO7HvaD64drqwxv5m1u+rH2HFld+nL5fLs2s1PZxzPqr7f3J749PR0dt2tDY62062B\n",
       "6/W6TdcxnFmfNa/ZPXSc7zr3lc5nF0td7OpvXbvT9K7sdD9Oz4Iuvxm61ri8k/O1y8vNd61b1y/p\n",
       "GOicVN18nzmbf0bXAz0bjNLz8sx6n64Nrk/dmjvabDZtutbNnR3c+p2cr9P07n63F6TPhW7NTcp2\n",
       "46V1c2V3Y6Bprp0vLy9tuv5+Zh4kfVrVzxNt5//kM2v6XOD6rJtzmqZ7vUrPuF07XdzqvuPG1/XD\n",
       "OKZuTrl1StNdW5Jn1nQ+K/19d051fabj6eo25ufODS4vHSO3N3RtSd9/pGXNnDs13Y1vN0fTfSit\n",
       "WzemybnhGsna4WItPfN0Y5C8A6zqz4murKrz+evWJTeeel5za2r3viV9/+HqputU12/u2VvHYGZ9\n",
       "TtchN0bJM6ujce36pVs7tB6z312S9wa3/L5wjXGMZs922q6Z97ppbLhzzPh7Vy8X19oPLr/kjOvW\n",
       "QCd57+fmp9Yt7ZdRuna487fGQ5df+j3RxXk3RvwLZAAAAAAAAAAAAABAVfEBGQAAAAAAAAAAAADw\n",
       "gQ/IAAAAAAAAAAAAAICq4gMyAAAAAAAAAAAAAOADH5ABAAAAAAAAAAAAAFVVtbi7u+tvWCza9IeH\n",
       "h7Pr19fX9v739/eLacvlMirbpWtdXFtvmZf2y+j+/r69nvX29nYxrev/z+ri7u/aec3vk3tPp9PV\n",
       "ebnxSWPB3T/W3d3bjY/mVeXjo0vXOeLqlsZiN99dbGjdXNlJLOlaojabTZv+7du3s+tffvnl4r2u\n",
       "nWq1WrXp3bqmv3V5ufE+Ho9n19+/f7947++//97m9ccff5xdv7y8RGWrw+Hwr/92c3+89zMaO67s\n",
       "/X5/MU3nr8vL1X2s28xc/6ysmbVI+8z18Xq9jurW9YubvzpH3NrQzZM0Nna7XVRWchZw0vFX4xil\n",
       "e6TL+/n5+ep6JWv5ZzRu0zW4q0u6Pyt3Bk7oGLi8kzOSu9fNA61L12/p2uD2jm68XVnKtfNvf/vb\n",
       "2XW3P7s1Usty87lrZzqH3BxJYi2dA249d3NuTHdxm5zVq/p2uvHUurh2uH4Y6+6eb9P129Wt61fN\n",
       "K32OVMl7g3Q9nXnO1z6Yfb7VunT9kpaVnCvVLfeoz3R1S59/Zp+nx7q48UrfObn8urpp2uza4dJH\n",
       "bn4+Pj6eXbt+GfNzcezStR0ze6T+dva9UPIM4+gcnDmP6T7lzjTpe6AuNl3cad3c2tPFmtbbrSXu\n",
       "LJic/dNn0tl362Pb9H2UcucUfa/jyn56erqYpn06+95W+3y73V59r/r69Wt0fzdP0vcC6dm/GwNd\n",
       "f5W+n+rG67P7R+ka5vpU146ZNTKVnMdcO2b3MdXVTWPB1c0Z11g312/9PaJb93QNdXuBm3Nat26N\n",
       "dutx8j6jqu9XjY3Z/Vh1sZTGzswZln+BDAAAAAAAAAAAAACoKj4gAwAAAAAAAAAAAAA+8AEZAAAA\n",
       "AAAAAAAAAFBVfEAGAAAAAAAAAAAAAHzgAzIAAAAAAAAAAAAAoKqqFg8PD+0Nr6+vbfrhcDi7fn9/\n",
       "b+/vyjsej1Fes+mju7u7Nn2xWJxdu367v7/8bf7t7a29Tmk7u7IdbZfLy9V97NeZen1WVjdmp9Op\n",
       "zUvj2o2/q/vYb65sF5duzqmubmlsuH5Iynb9kORVVbVcLi+mpXG7Xq+j9C4/N17aD+7+Ll3TXl5e\n",
       "2rxcrO33+6vz+/PPP9u8drvd2fXz83NUthr7zd2bjoHuNQntU7cG6t6hkjnn7tV2pvN5pO10ebk+\n",
       "1Tk0M6e22+3ZtYvz1Wp1MU3Hp1tnrqH9oPMikfRZVXYmSvcZt55380D7xOXlzlc6njNnKI3r2fk8\n",
       "jtHMebjqx3a6Odjl58pSaZ9uNpuLaa7ej4+PZ9ffvn1r7//y5cvFNK23GwNXN/29PvOMZs8dqhuz\n",
       "dHzc+qztTJ6flNbNrTWuLeN64erl5qfqxj89L7vx7eZIVVZ316fp+HVt1TicLVt/n+5FI63bTNzq\n",
       "eju736ou1twcSM+dXd31jDP7DkJ/3523urTP8pp9Nh/nlMsrjUOXX9evt3x3VpW9o0rXNbcujeue\n",
       "u9fFWjr+XXq6F6TrWjdmbjz1ucA9J3R109+6vd6la+x0sXTrOdONmZ4Tu7PYNenab93+3J05q6qe\n",
       "np7Ort1zZHIen10btO5u/LsxTd/ruTmoZXX5u7L1PdHM9w2NneQd8Gf0990YuPddWjd9H6K+f/9+\n",
       "dV6uj2/9br2jce/iNjkTzdSr6sd2unNNV176nj75xuD6xMVteu7s1qr0G1A659K1aZSe5ZP39Omz\n",
       "t8sv+ebjuHnQ7WP8C2QAAAAAAAAAAAAAQFXxARkAAAAAAAAAAAAA8IEPyAAAAAAAAAAAAACAquID\n",
       "MgAAAAAAAAAAAADgAx+QAQAAAAAAAAAAAABVVbV4e3trb0jT7+7u2vvf39+vTnt9fW3zcmVpene/\n",
       "K+v+/vxbe9eOqr7ftB6uj11ZSX4PDw9tXqfTqc07tVgsrr437dMklpSO5+wYuH4dHQ6HNn25XJ5d\n",
       "65ioJNa03e5+pfOkmzeuTzQ9jfPut65s107tp9VqdfHeLu2zuszMKa3XZrNp73ex49JHrt7H4/Hs\n",
       "2q2pruz9fv+v/56dn1qXpN1pWWp2DU3ySveWJK90zijtt65u6bnDxdoYSy6v9Xrd5uXmezLebp1y\n",
       "faqSfcq1c7vdnl27Pk7OHbNnu+Ss6PZbPaPo/qtc3UdufF0sad3SvaZLS9dMpyvb7VNfvnw5u3ax\n",
       "2eWn9dB9Sbm1RvshOesp7XM3Bt0+lZyHq/J+6PrF7Z/ps5zr03EeuPFy8z3Zh9xaoPPTtfPl5aVN\n",
       "H8tza7/rs3Tv7+LnluenquxskY6365eunencTvfvdD8f7Xa7s2sXm11ZmpY+96nkPJY+/7o9z8XH\n",
       "2LbZuNXYcePZladrh3tXMrPvpHnp/qv7sxr7IX0+Uune0Y2/7nmza6bm18Wyy0vP125edOmaNnu2\n",
       "S97rpuPt5kw3D7TP3Bro1g79fXfudGuHjoErO0l352GXrn0+89ypz9Kz73k0trr7Xb11PNNnmC4v\n",
       "t0e6+a791p3HNc7V8/Nze62S5wjXZzN9qm79Ls2tB2N5s+8Udf6m7+ZGybNXVf6urePmlI73TDs1\n",
       "Dl073Hiqrt3pe1jXh0kfu7Ld2U9jrZvPab3T9XnEv0AGAAAAAAAAAAAAAFQVH5ABAAAAAAAAAAAA\n",
       "AB/4gAwAAAAAAAAAAAAAqCo+IAMAAAAAAAAAAAAAPixm/5C4cn8sustP65L+0WuV/vHvjtYt7Zeu\n",
       "Hu4PaLs/NK75dX/kvkur+rFd7g+su/SZflLaD90f/07HerPZtOkuv8Ph8K//dm1O+8yNfzemWm83\n",
       "311ZWveurS4vjXsXmy6/kWtnuu4dj8efrpeWld4/GuPM1avKx+Jutzu77uZUl1aVr7dJfLh2aL+o\n",
       "dM1NuH5xXCyOXL21na7fkr3CrVvp2tLVzcW1lrVer6OyR2mfubhO9p50zXN1S8Y7XQNd7HV7qK4z\n",
       "LpbSda3r8+Vy2ealfezWJZffWLf9ft/eq/2iVqtVm67cOWZ067NbF09uPNP4eHl5uZj29PR0du3G\n",
       "K12/u/vdnNI4de3s1geth2vHLZ/lXFxqWW5/duvgGD/JfvmZZO1wcavprh1uDR3rls59peuYG4Mu\n",
       "PtLYSc7qLn/Xp2rm3JnuBemzeTdH/yefl9JnTBe3Oie7dc3tUXqWm3n+rTrfg11e6dnP3d/NYe3T\n",
       "mefCz3T7ntsTk3dKVed1nz0fp++gun7Rdrqy3R6q6313fnN7h/api6VkPrtzpUtP5nNa7/Qd00jn\n",
       "k4tLl657YrdHps/Sbp1zdRtj1T3fujmiZtaa9N2JW2uS92Pp+pzO5+63bjxdWdvt9uz6jz/+uHjv\n",
       "f/3Xf7V5/fbbb2fXbj4n7/Vm38PqGKXnty4vdyZ2dXNr8ijdK2bqlp4rkrP87LsWbefMNwRNS56H\n",
       "rqlbZ/bbh+r6LXnGvCZdJd98Zsvq+o1/gQwAAAAAAAAAAAAAqCo+IAMAAAAAAAAAAAAAPvABGQAA\n",
       "AAAAAAAAAABQVXxABgAAAAAAAAAAAAB84AMyAAAAAAAAAAAAAKCq+IAMAAAAAAAAAAAAAPjAB2QA\n",
       "AAAAAAAAAAAAQFXxARkAAAAAAAAAAAAA8GFxd3c3lYH+3uXXpb+/v0+VnaaPHh4eorxm+k3b+fr6\n",
       "2t7/9vbWpmvdu/xcH9/fn/8/Ba5uLn3Mz7Uj7dNuzNJYOp1ObXoSa9qHaVnap64tXfrs/Fb7/f7s\n",
       "+ng8XrzX9cNisTi7dnOwix9t53K5bPNycbvb7a7OT/tErdfrs+svX7609282m4tp2mcuNtI5192f\n",
       "jmcXG1VZ3d2ccelp2becU64fxn5drVbtvdrHSuvt+qUb01u3M/H4+Nim63x0sanzeaTz0+WVtrNb\n",
       "19yap+OX7t9dee5eHf+ZtUbTDodDm5fr42Tdcmug9rGL+2QdnN2HtO7u/m6M0nNnWlZ65up+69at\n",
       "Ln40za2Zrp1q5hlG57uLzS5dy0qfYVx61xY3f/W3t3xWc32crs/d+Lt6aZzOzM+q7MyT9qlbt1ws\n",
       "jty6Nlv3kYvrNO9uPUjPAun5auYs4NYx1Z15NE5dn7nYSPYC97yk7UzPvF1+M+f+z9Jd3br4SddI\n",
       "jU2ldenmaPeM+dlvkz00PVcqfQZy+XU01tx8dXGu+16XX7o+u7q9vLxcXS83x1xZaWx2tE9nnkn1\n",
       "t27NdLGj6d28cPXW9dY9w/7tb39r00cz60zVbc/+Op4z87MqO6e4euvZb+ZMrOP9+++/R2Wr5+fn\n",
       "s+t//vOfF+/t5nrVj/3g+qWLXf2ti/O0T7vYdeutxoI7d7p1apwH6ZnGmXlHqX3k2uHGYIzF5P3j\n",
       "NWWl5/GR9vl2u43uV3pW6GLtls+gVX18pO9tXPotv+Okcd3NOf4FMgAAAAAAAAAAAACgqviADAAA\n",
       "AAAAAAAAAAD4wAdkAAAAAAAAAAAAAEBV8QEZAAAAAAAAAAAAAPCBD8gAAAAAAAAAAAAAgKqqWpxO\n",
       "p/aGu7u7KMO3t7e+wMXiYtpyubz63mvKen9/P7t2be1oP9zf99/eu7prvRx3v9atK9v1gbZLxyTN\n",
       "bxwjF0uuT3W8u35J+8x5fX1t08e6uz7bbDZt+n6/j8ru5kEat25OqYeHh59K+6wutxwzF5eHw6FN\n",
       "1zFYrVYX7316emrz0nq7dnTzV+vh+my327Xp2k9dful66zw+Prbp4zx5eXlp73V9qnXrxrOqj4/j\n",
       "8Xh27fapZB9zfZist1V+LUrMrEOf1aVbH1xZ+lsdE3f/SPvU9ZkbTy2r6xc33umccmvuOE9cLGmf\n",
       "ujHp5qDON7f+pvOga3d67kj68DNj3dP9VGm/uTWzS9d6p2dBlZxTXD+k57Fuz/369evZ9ex8Ts6d\n",
       "riwdz7TdHTdnXFxrO5P5rDS2Zs8OY35uHXJri9alu9/VW+viYsnVfexXNz/deCb7UFUfu7oWuHak\n",
       "55Su39LnCDcHu3Rt1+ycUt2cSvc8N57dmUjT3Hi5uun4df3inn91PN3Zzu1TyRjpnqZuuV6r9Kyn\n",
       "dE1O5rNKxrOqar1e/+u/3drgxlO5funK09/OrlsaH8lzotL5u91uo7JH2q7ZOaFx3t3v1qGZ965K\n",
       "+9Tt9W4/1jnSjZmLQ+0H18fPz89t+sitO66P9bw8867Nrd8q/cYw87ys8eDmQddOzcu9S3PvqL5/\n",
       "/352/c9//vPivX/99Vebl9bFxUfybObWyORduOPm5y2/4VSdt9XV85bfI67JL3HL90ZpXum71lH6\n",
       "rsXR+On6OD1fzTyzpn3mJN9xXL31tzPPEfwLZAAAAAAAAAAAAABAVfEBGQAAAAAAAAAAAADwgQ/I\n",
       "AAAAAAAAAAAAAICq4gMyAAAAAAAAAAAAAOADH5ABAAAAAAAAAAAAAFVVtXh4eGhveH9/b9Pf3t7O\n",
       "ru/vb/dN+vX1tU0/nU5tutZlsVj8dF20H2baqX3u+tilaz917XR9oGW5Mbi7u2vTR268lstlm679\n",
       "1uV367h1+Y1cn7n0pKyqvu46Pmm/uPy6st3aomW5WEpizbVjt9u16avV6uz6y5cvF+91cfvt27ez\n",
       "68fHx/b+rt+Ox2P7W3U4HNr0pE/deOra4vrl+/fvbfo4hmlcdnlVVe33+/b+bp7cev0e55AbX9dO\n",
       "nY9ureloO934p3tiGssjHU8XH8me6Nrh6u3qkkj3KbfHjvHj6qnpLo67srXP3Dkk7cNuTFxeOkdm\n",
       "18xkTXV0nXL95uboyMWK6we3ho7Sc4fbO7rx/uuvv86udS9XrixN78bXzU9tpxuvrqztdnv1vdeU\n",
       "peldW9IzquPyG+uW7Kef0djp9sikXlXza/84p9x4bjabNj09j3XlaZprpxsDTU+eYRy3bnVrh+sj\n",
       "5dqpa093/+z7DtXFbnquuOW6lvaZW7fceWzst9mzm86ppGyl89ftU26+p8/6HR0jNwfH2HV94uql\n",
       "v3dx342Z/tY997vx17Wla6ubz/rbmVjSsmb3IR3/Lj83n2+9R45m32dpetfHbg5obOj5TCVrbnKu\n",
       "v6YsV/bT09PFNO0Ht2e6dUvn5Mzzk8aDe0ZJ3l+mZwOl7exi05WVPrN280TT0vd8SsevWwddvZNn\n",
       "kiq/Hox7rNtX3Hqcfl9KzmOzz1fjnHN95sZAx8/ta8l7QJdXOufSM/JI43ZmHUr2z8/uV0k8uLzS\n",
       "dnVl8y+QAQAAAAAAAAAAAABVxQdkAAAAAAAAAAAAAMAHPiADAAAAAAAAAAAAAKqKD8gAAAAAAAAA\n",
       "AAAAgA8L94e/Z/44e0r/oLb7Y8/uj73r72f+wLZyfxS7q7v+YXD3R6/dHxrXunR1c+Olv03+IPpn\n",
       "Zv4QudK6J3+UXqX1crE29pMbL1e2xsfsH2AfHY/HNt3Fx//LMZj5Q/LaZ04ynlVV6/X64r3fvn1r\n",
       "89L0zWYTlT3SNcyNpytL85uZrzreu92uvd/F2rg3uX3KzTntJ3d/sle4url5MJbl5oAbn3T8uvu1\n",
       "LrPrmvZDN/6uLP2tu79L13qna4PLr+PK0nbOjv8Ya+5ebefMPrRarc6u9/t9m5ej/TJzTrl1H4/p\n",
       "s+cf3XfcPufWotEtz8NVfg7eUvLc4frMjZGW1Z0Fkv6v8vt3l56uz27+alndnHL11rJcvyRnv5m1\n",
       "/rP0mX1I59DsWX1Mf3p6au91c+CWz17pWpG+F+jyT/rsmrK7dE1zcXvLM4/rY/2tezfz8vJyMe37\n",
       "9+9X33tN3XR/78413fpZ9WOfuzNS8pzpYsm1U9c915ZuDqdnlnROdf3m4lrLSmNzhsaSm2PdWVLr\n",
       "5WLFzQOdc93+kJ6HZtatVHrG7eLl1u/aOhqHM++MqrL3Au7Mo3HrJM+RLm93xtV+c/l1e4uW5fYh\n",
       "R/t85v11sg9V9XGtcev62I2ntqvrNxdr2q70W8goPT+5urn8R27/1Ha5tcbVfYy12T0t+e5S1ceP\n",
       "js/sWj+2bTYvrdvMGKTvWlysaWx1fZzExjWSfc2tt65uulZ0cyp9JnHrVre28C+QAQAAAAAAAAAA\n",
       "AABVxQdkAAAAAAAAAAAAAMAHPiADAAAAAAAAAAAAAKqKD8gAAAAAAAAAAAAAgA98QAYAAAAAAAAA\n",
       "AAAAVBUfkAEAAAAAAAAAAAAAH/iADAAAAAAAAAAAAACoKj4gAwAAAAAAAAAAAAA+LN7e3tob7u/7\n",
       "b8x3d3dT949cXZK8qqre39+vzsuVnbbz9fX1YtrpdGrzTh0Oh7Prrm6LxSLKW+uqXD+49KQs1fWx\n",
       "G/uHh4er87omvzF+krhzeV1D29LlpbGiXN01Vrt+u/XasdlsLqY9Pj6eXa9WqzYvvV99/fq1vU7K\n",
       "0na5dnZzVPvMxYqbU/r7rm7pnOrGq8qvRWNsJfPvmro9PT2193fzRPvUjWc3P6vO+2F2L1DH4/Gn\n",
       "f6t9mq4Nar1eX32/iw3t8+Vy2d7fxaKOjxuvdLy7+11eOgaz8TH2k4sNHW9X191udzFN9wm3Lrn9\n",
       "WH/fxaZbG/S3ro+TM43Ly62RGtcuv66taZy7fU3XyK5ubjy13m7MuvVZy3Jlp7p+c+tQejbsytI4\n",
       "nI1bXQ+69SHdC1ysubVoXFtmnzm07l3ZLnZ0n3Jj4Pph3CPdGcXtkRqL7v5uzmma6xc3nvr7rt9c\n",
       "rCXrsctP9zDXZ2793u/3Z9fd+pDur9vttr2/WyO1Xm69deuaxnXXx+m5w50VXH7j77Xdrmxn5nla\n",
       "z8Oz7+I0v/Rdz0jnZ3Imnl0bkncMTnq2c5JzrBtPzSt9hh2lcXvLNTU9X7uyu/T0zJPGTpdfure7\n",
       "OeP6bVyr/vrrr/ZeR/stfZfTceuzKytZa9L5O/Msr2W5drg9Ut85/v3vf79478vLS5vX8/Pz2fUf\n",
       "f/zR3v/bb79dTNPYcn3m+iF5P+bmp6anZz01zjm3P6bfPtz4J+/1Z79tjb934znzTuEzyZo7+61E\n",
       "x6ira/pO0bWj67fkPHxNWZrfzPOS9kP6bmbEv0AGAAAAAAAAAAAAAFQVH5ABAAAAAAAAAAAAAB/4\n",
       "gAwAAAAAAAAAAAAAqCo+IAMAAAAAAAAAAAAAPvABGQAAAAAAAAAAAABQVVULd8P9ff+N+f39/ez6\n",
       "7e2tvf/h4eFyZRbn1dG8Xdnq7u7u7Lpri6u3pr++vrb3d+3U32o907ppWV1+rt6n0ymqmzP+3uXV\n",
       "9VnVj/2wWq2uvtfR2FPJPNA+VK4ftKzj8Xh12S7NtdPNKa1LN2aunZqezsHRfr8/u3Z95mLtcDi0\n",
       "+Xf3Ko0H18ddOzWvrl4/U1bXFhfX+tvtdhuV3aXPzild91y/dPNE1x3XDlfW2Da3Pt96Xev6Tdeh\n",
       "2fV7pmxXVrqmdnnNzM+qH8ewG4PZ/VW5uo3luXt1DXX9sl6vL6a9vLycXS+XyzavdO/Y7XYX73X1\n",
       "TiXzvTujVOXrWjovRhqXruy0rG7PTddId3/Xr9quW+8dXd2S+VflzyndPEnXDrc+a37dvHHtdPNb\n",
       "uVgbuT3S5aXpXV3d/unSlVsPxrq4uHVnPx3PzWbT3p+sHd16e0265teNWfrM4sru5pyWdev9uWun\n",
       "G++0bt080bP6rd9BdO3szgmf5eXWSBcfY7+mZ1Sl7Urn/0jj9tZnouQ5UqXv4kZu/U3n1Mx7ATV7\n",
       "ttf4mTkLKNcvyXseJ3232q0lLi/9bXoO6fJysebmp9alm4O3PD9VZe+Q3Rro9rz0ebk7p6TvBRzN\n",
       "r+s3t0bqnHN7TRc/Wo/Z5yU9f/36668/nZfW5bfffmvv/8///M+Laf/93/99dv3XX3+1eaXvVtN1\n",
       "cKSxNbt/uzmXlKVnKDcHk2e59Ltbl5+L21u+t6vyc240u7cn79bd2Gu7XL91ZWmfzn53UTNzSn87\n",
       "Mwb8C2QAAAAAAAAAAAAAQFXxARkAAAAAAAAAAAAA8IEPyAAAAAAAAAAAAACAquIDMgAAAAAAAAAA\n",
       "AADgAx+QAQAAAAAAAAAAAABVVbU4nU79DYtFm35/f/4N+v39vb2/K+/h4eHserVatXm9vr626Xd3\n",
       "d+da3qEAACAASURBVG16V7YrS9utun57e3u7ul5Vvh2aXzcGLi+ttxtPl9843i4v16fqeDxeTHNl\n",
       "LZfLs2s3Ji7WXHmjw+Fw9b1p3rO/TWOzG7M0dtbr9U+Xpb99enpq8/r69Wub/uuvv55df/v27eK9\n",
       "bp1SLy8vbXq3duj66eKymyNp2Tpn1Ha7je53seb2ppFbv7WsmfmsfTq7ro3p7t60LHe/64dRsp9e\n",
       "o2urG0/9rYu1Lj/Ny81ndybSPu/6ON3z3Jxw4znOAzf/dLxdLHVrjebl6unaqXXpxsy1M10jk7Vj\n",
       "v99ffe9nNG7dHOzSNdbcHHN0HnRj5sZA+2m2bgk3B9N50NF+cGUnZ9x0PqvNZnN23a1zrg/SM66r\n",
       "27i+u9hwZSf7mFsb0nYmZtd65dqS7JGu7PQc07XVnZc1L7c/dzQ2XKy5dM2vm6Ouz9Kzf3LucGce\n",
       "1059/tK1pCtbpedrF9djP6T7rePa0uV3y2ftqmw/cGtg+r7rls8Rt3zG1bTZ9VrrMvMO6pbvZjQv\n",
       "18fp83KXn1tvkzWwKnt/6fowLavbh9wzpnL94uLaPTuMXN20rJk1VWPn8fGxzcvF2i3fnabt7MZb\n",
       "++D5+bnNy4237oldbCbP8VW+j/V95kjjzPVxOqdu+d7IlZ2+N5qh45m8r1Ra71t/K+nc+h1El5/G\n",
       "9cxeUJX1Qxo77ntEd2bWeu92uzav9H1XF+dufHRdmxkD/gUyAAAAAAAAAAAAAKCq+IAMAAAAAAAA\n",
       "AAAAAPjAB2QAAAAAAAAAAAAAQFXxARkAAAAAAAAAAAAA8GHh/ki1+4PM+geYXX7dH57WPwzt/pB8\n",
       "+ofEuz8W7eqtXN26flsul1fXq8q3U+vu8kvKmq3baPYPoi8Wi7PrmXYq90fM3TxIaDtcWa7sru76\n",
       "WzcGrk9dP426uV5V9csvv5xdPz09tfd3f9T+8fExKrv7I/RVP/aT/uH5JC/tM53/qhtvnSNuPF3d\n",
       "VDf+bux1DNx83u12V9fFtdOtx9qubjyrbjsGbv6OsToz1z+ri5vP3VqkZc3uBVpW12+uHzabzdm1\n",
       "Wzu6eaDt2u/3bV6uH7Ssrl/Sc4frY5c+zpPD4XD1vde4ZSy5+al17+LFxZL22exZYExP11+V7ENa\n",
       "ttK6uDFw45+Mgc5X5fZE1fXrrddnLau7380pl666srRdbu67M1FynnZnWI1Td7+bJ+Pv0/FSOr+7\n",
       "MXHjpWWlZSs3vxPpM0vyfDx7HtNY7e5PnxvdPOjGKNm7q/x4ad27s4WbIyp9/9FJnus+k+wF6TnS\n",
       "1c2lj/m5Pr71O6euPI0Ntz67PVLrluyRrqzkeXk2lpJ2aNlKxzN9TlTp+5SkLFe3mTVSuXVLx6CL\n",
       "zbRsN55devpM4mJRx2Bm3dK63fI5wknf283MA83LvcfR90JK3+vNPMtpevI87PJK92elc647C6Rz\n",
       "yo1/N381zY2Xi50k1tKzwMx6q26ZV9Xcuzvto/SdhRpjdfadv6a7c0jXzvSbTfr9MfnuptJ3Ncl3\n",
       "l+Qd8GeSfc/dq/3g9qkuP/4FMgAAAAAAAAAAAACgqviADAAAAAAAAAAAAAD4wAdkAAAAAAAAAAAA\n",
       "AEBV8QEZAAAAAAAAAAAAAPCBD8gAAAAAAAAAAAAAgKqqWrgbTqdTluGiz/Lt7e1i2t3dXXut3t/f\n",
       "o/TD4XDx3oeHhzYvtVwu2/Su7tqnrp1uDLRPXd2SvF5fX9v7Xd3u7+8//e/PpOPtxj/Jy3F1S/JO\n",
       "8qrq54zjxk+5MdpsNmfX3bzRe5XG6Xq9bu/v0lerVXut3Drl0kf7/b5N1z518dH1qeblYiMd/67d\n",
       "T09P7W91LXBrajIGx+Oxvbdb23+m7G6MdP66OePSx7LceLq41nq79blbi3R+zs4ZbVt3fzp/3Zra\n",
       "5adpM/vKZ/l14+/GR9Nn6zbm5/LS8XLrXNcWnZ/puVLp2tKtD24NTPfjZL67vF3dtN/cmCVn3GRd\n",
       "uia/W57H3DrYpWufujFw5w7tp27M0lhz7ezGU8ty66+rm45nVze336Zn9eQ5YzZuk1hzfZrExjXp\n",
       "yfOSS9fxnFmLtM9cO1xcJ2OQPhe4MUvW+5ln6aof97mXl5eL96Zx68agyy9dq9O6ddJ1yN3vng3G\n",
       "/G4ZG9fc39Vdn49n1zVtW/f8ndY7eY507UifWWeeYdJ3J+6ZVfPrnivSNdC5ZTvd+CfvLNL3XTNn\n",
       "WG3nbB/r+j7TzjRuk3fIruz03Wr63DHSPt9ut21eu92uTdf9u2tLunbMvOdxeStXN92nujmYjqe7\n",
       "vztDffv27ex6djyTfc3t3Wr2W8k4huka6MpKv9OMNE5v+U7R7Wnpt6/0HDLSNc/NmVu+W0+fzdPn\n",
       "q87Md9GqH/utmzfpewA3D9rvEe0vAQAAAAAAAAAAAAD/3+ADMgAAAAAAAAAAAACgqviADAAAAAAA\n",
       "AAAAAAD4wAdkAAAAAAAAAAAAAEBV8QEZAAAAAAAAAAAAAPCBD8gAAAAAAAAAAAAAgKriAzIAAAAA\n",
       "AAAAAAAA4AMfkAEAAAAAAAAAAAAAVVW1uL/vvyG79Pf397Prt7e3vsDF4uq8HFeWpt/d3f102frb\n",
       "19fX9v6unZrXw8NDm1daVteWrg8++23XjmvyO51ObXpXtjoej1eX7fLSPnVx7sZg/L0r28Wt1sXF\n",
       "R1f35XJ5du3akdZts9lcvPfLly9tXpq+Xq/b+7u6a2zM9FlV1W63O7vu+sXNEU13Y9D1QzLXr6H9\n",
       "0M0pN9e1bi6W3HiPY6jjkdZtv9+fXbvxd2OalJ3MKRcbh8OhTdffu3Z0Y6BzyM0p1w8ufaTrlnp6\n",
       "ejq7TmLJcWPg6J7XlZ32mbvfxcdYt9l9Krk/PSemZa9Wq4tpujeo9MzjjGPgxsutQxpLrm5d7Ooa\n",
       "mp6RXN2S8VfaT65fkvhI5v5ntG5drLmytM/c+fiW+5Crm47RzNkiefa6pqxkvNPY6cp29dL0tI+7\n",
       "us2e7fT3Lta6dG1X8lz3GZ1D6Xo/0j3P7YEdjVO3d7h66++7+13saPrMfE+ff7s177Pfd/mlZ+/0\n",
       "mVSNbXV7WnrGTd4LKJ1D6VlAadx3z+auLJXMT7du3Xof6uZo+i4ljbWuH129Nc7dfO7ama5bs+/1\n",
       "Run5aub5SvvbPSfOvu9K8krH083nsW2z5wqVvrMa6bO2y+uW8yA9J7izQJef/nY2lpJ1zeWVvhfo\n",
       "6p48x7m8qn5819bFeXrun32edutFklf6fizph9l3ULd8Pk7PCl07k/PwNWVrv3Xj62Ltlu1M1ylX\n",
       "tsb9zDNr+hzRtZN/gQwAAAAAAAAAAAAAqCo+IAMAAAAAAAAAAAAAPvABGQAAAAAAAAAAAABQVXxA\n",
       "BgAAAAAAAAAAAAB84AMyAAAAAAAAAAAAAKCqqhbv7+/tDa+vr236/f35N2iX3+l0upj28PDQ/lYt\n",
       "FouorK4trt5K263u7u6uTnt7e2vzStNdvyRc2a7fxt+7e7s++yy9G4N0fLq4vKZuIxfHbnySdlb1\n",
       "Y3Q8HqO8XN3T2O1oXVzZm83m6nql89mV1Y2/6wONrcPh0N7fpWvs3HKuV831m/7Wjacra+wHN/9c\n",
       "XD8+Pp5duzHr8lutVlHZrqyxn1w7Xezs9/uz65l+c+1SaVnL5fLivV1aVb7udPenZ5g0rru9xZWl\n",
       "6TPrbUrLcmfBLjZd3KrkXFHVx1663zpJW9y5wsX5LWNT1y1dK1Q6n7v70+cCd/96vb6YpvWYPY9p\n",
       "3M+0U89jeq2S54j0/OzMrFva524vcfmNv3ftSPK65v6O1sWtkUlZ6Xip9CzQzQMdT11LlFv3NO67\n",
       "fkv7YWaNTM88bj9Ozudp2W5dS852Lm7deGo7k3VLady6Pk72KbfeJmf1a8rupGe79Ky43W4v3pvu\n",
       "ickYzO5DWjfX7u4Mpb9Ny1Z69pt5p6h9mr57Gbn5mUrOdq5s7YeZ94D621vut65st5brnujud2f/\n",
       "MR7SslW63nf9oL9N4zxNT6R5dWuk7hUub7e3aHrXb248Xbrq2vn9+/ez69lnVn132vWLK0tjbXa+\n",
       "J+vBbrdr09Pnr+48pu2afV4axyh9vnVm1u9bftuoyr4Zun5I9rwqP99Hs2ukjlFStkq/u7TPET9d\n",
       "CwAAAAAAAAAAAADA/yp8QAYAAAAAAAAAAAAAVBUfkAEAAAAAAAAAAAAAH/iADAAAAAAAAAAAAACo\n",
       "qqrF7B+xVi6/5I9eO+6Pfydlubz0D3DP/JFzLcvVc7VaRWV1f/w7/QPobvxduuunRFK32Xor146x\n",
       "bu4PnCd5Vc3FueaVjr9aLpdn111bXB+fTqfo/o72gWunS9/v923+Izc+2k5dS5K6aR+5snW8nK5u\n",
       "Lja03m48Xd0fHx//9d+bzaa91805Hc+ZdUn7YXZPG/ttdv/UveKWe6Qbf1d3ja0uNtO8Ztb7dE65\n",
       "9OR+1/86p3QtcfercQx1TqjD4dBeq66PNXZcO9x8Vl273Xqr9Xax5ObBON4z58TPuH5J9tD0HOLS\n",
       "d7vd1WWr9Xp9du3GrDsTa71cO1ws6u+7eZCuDdpu1fWDjt/MuaLqx9jq+s21M32OcHHtxnCU7u3d\n",
       "/en8dM9qbozGdqbnSqV7S9KHSvvI5ZWeiZL5rLSfXL+5fW80e7bT3yfzWelvXSx165TGjmtneu7o\n",
       "5nMah2483Rwd6+7ySufvzP6u/eDGM13Xun52eWm6e45MnmEcjR3XL90eqv2frudJWcqtMxqL6Xlr\n",
       "pPtr+lyhknXPjY+aeS+gv03fV6lbxkf6zJL2Wycdzy9fvrT3d/2meaVnXpU84868I0xpPdLnZaXr\n",
       "YjfHXDu1rJl+0TXNtcOdBTS9u9/FrbZr9hlnjFV378z5Ks1PY8GNp1ufx3XRjVcaO65fknfls/uQ\n",
       "1iU5byntJ3eO6dZIzSuNFZXs766d6fvO9hzZ/hIAAAAAAAAAAAAA8P8NPiADAAAAAAAAAAAAAKqK\n",
       "D8gAAAAAAAAAAAAAgA98QAYAAAAAAAAAAAAAVBUfkAEAAAAAAAAAAAAAHxb397f9hvz29vbTv727\n",
       "u4vuf3h4aNNPp9PZ9fv7+8V7l8tlm5f+VvN2ZY+03l29qqrcGLnfz+Tl8k7KTsdXaWx1+bmydAzc\n",
       "/ck8cXm5ObJYLM6uXWwmdZmZn1VVx+Px7LqLc9cPm80mur+TtsvNX63L6+trXKdLXF27dE3T8VCu\n",
       "nRpb3RjM1Ptn7k/63M0RTXf90q1runa4fcitHePvXZ8keVX5Puz6QX/r5qeuW+qWZ43dbnd27fah\n",
       "JK5n9ynVtXu/37e/TeeUG+9xvXB9pmW7OO+k66krK+mXW88ZZ2yriyWXrmM0e7bo8k7Tde/p+jnt\n",
       "h1vOQbdHunSNh5l26m/dmvn4+HgxTc9Pq9WqzcvF9Xa7Pbvu9obD4dDmpevarc+dHe0Xpf3UjVm6\n",
       "Frjxd/nd8pypdXHrYBJrLi93vtJ2duu9K0tjS88Gqptzaf/f8r2B2/O03m597vLTPpt9B5GcFd2Z\n",
       "R+vixsTVfey32bhN9+OuPB2DmflZVbVer8+uk/FX6XugW57tb/keUNctN1/dvqb7UBeb6bO362NX\n",
       "t9HsM6m2q9t/3RlGf5s+dyS/VW7t0H7oynbnK51/7n6XPsZHujcobadbg7s5qGMwG2vJWpO+t3Pr\n",
       "3J9//nkxLZnr16Rru7p+cX2arpHJuWb2GTM5W6T75+z7sXGezLZT12+3PifPU+m7c5Xsxy7W0vne\n",
       "9Vv6nO/KSvYWt0am77e6OaVps3F7y+9Pqa7u/AtkAAAAAAAAAAAAAEBV8QEZAAAAAAAAAAAAAPCB\n",
       "D8gAAAAAAAAAAAAAgKriAzIAAAAAAAAAAAAA4AMfkAEAAAAAAAAAAAAAVcUHZAAAAAAAAAAAAADA\n",
       "Bz4gAwAAAAAAAAAAAACqig/IAAAAAAAAAAAAAIAPC3vDor/l/v78G/Tr62t7//v7+8W00+nkqhPR\n",
       "/O7u7i7e26Vdk67W6/XVeaV5q65PlRtPdTwe0+qcGcfAtdO1Q3//8PBws7w0jt39na5eVX6OaPpy\n",
       "ufzp8rQfkli5Jr+O6zOt99vb20+XrWluPF1ZSdy7dmpZrg+78dT56/Jy7TwcDmfXt1wj3Rg4Yz+4\n",
       "stN1rVufnXQMkrq7tcOVpeluT+3GyK1TSV6fpXex6eqd7pldv2m9ZufU7Bo70nhw7Xb9NtbdrXHa\n",
       "Tpe3riWj3W7X/lbNnhUSmtfsWTBZi9y9WtZMbOp4z7ZTY7OLp3TdmhlfrbeL23Q/7vrFzam0XS8v\n",
       "LxfTdL65c+J+v2/TkzOPa4fuHbPPdmN5bs64fSs586T7UDqfu3Q3nm6/TZ5/U65sd75KnoFdvXVv\n",
       "mdkj0zhNz1ddfLhzha4FLj66Oapz3ZV9y2ccV1bKxVqyH2+32zZdx9Od17uydZ1yZ6R0DFar1cV7\n",
       "n56e2rw0tlysje109XT7THrm7dZ73fNcXm6P1D7uxv/Lly9tXjre3fm5ql9z02ft9Jm1W+fSvNx8\n",
       "7MpK2+niVtO7urnYeXx8jMru5mdV1Waz+dd/u/manjtu+b7bzWfXD8lzZnq2c2tqEmuuT9x46lox\n",
       "E2vpO8XkudCtQ26N1N93dXP7p0qfO7rfp2W7urg47+qmdZn9HjHWbWb/rPoxdtz9Sb+m81kl75zd\n",
       "WV3n78waqfVwa4Ojde/mc/qOwbWzPXdEJQEAAAAAAAAAAAAA/tfiAzIAAAAAAAAAAAAAoKr4gAwA\n",
       "AAAAAAAAAAAA+MAHZAAAAAAAAAAAAABAVfEBGQAAAAAAAAAAAADwYXF/339Dfn9/b9OPx2NU4N3d\n",
       "3eXKLBZn129vb21eLl3z68p27dT0W/aL1lN19a76sR9Wq9XFe19fX9u8tN4PDw9R2WqML9cOl+76\n",
       "fOTqrXm5eZDUzfVxWjfX7sPhcHVerm6unRpbrt86p9Pp7NrFUtcPrk/Vcrls07Vu3Xx2fZr2UVeW\n",
       "jo/Le7PZtOnabzNrpIsd5cZ77NfZsrWfXNldPGles+taErtur0jv7/pht9udXeucUOlZ4pbzeWbv\n",
       "0D5I4vKaspJ9S6V12+/3V6fPnjsSaR+k870bk/SMOtsvY93dva5uOg9mzgI6f9M5pjQWu7bOlqW6\n",
       "tShdn926pendGLjYSc9jHf2tm/vpfO7ud3GbxMY16WO/uj52saa/756X3HzTstJY6tK7elX52Hl5\n",
       "eTm7dvt3Eh9uH0rNzAPXLtWdiXX9dPVKn/W68Xdxre107e7GSOvh4jI98yRlK+2HmWfMqn5PVOm7\n",
       "lpl3VMkZpio/f3dtSfcK14fjWjXzbFWV7bdO8g6wqurp6alN17p3c9b1cXom6uZB+szh0nUMu7qm\n",
       "Z/WZ50gty+2R6TNpV7f1et3mpe1075jcu5kx3eXl6qbj5+Zod75L5kCVj49kX3PnznSP7NK1j1xe\n",
       "bjx1jLo55dZb7dP0PN6luTmTnq/1PdIoPcO4WHN1H/Nz+62bI+nzVNdvmtfsu5exbbPfNtL9uOtX\n",
       "LcvFUnr+7urm+iF9P9KVlY6f61Pd55L3mSp9H9b2aZQTAAAAAAAAAAAAAOB/LT4gAwAAAAAAAAAA\n",
       "AACqig/IAAAAAAAAAAAAAIAPfEAGAAAAAAAAAAAAAFRV1cL9EXNH/1i0+2PQ3R941t+6P3qd/rH3\n",
       "7o9Hp39oPPlj7Ur/ELz7g9uuT90f+07K0rq5+HD5jf2geSvXDu3zpN1qv9+fXd+yj5fLZZvu+lT/\n",
       "MLz7o+hdv2qfubq5spIxcHkdDoez6/V63d7/8vJydV6zsaZx7eK8o+OpdVVdv61Wq7Prp6enNi8X\n",
       "17omdmWna4EbA+2XLt3l5Tw+Pp5du3nQxYe208WSG4MxPbn3Frq4Tvvc9YOOd1d22g/u/i7WdA64\n",
       "uJw9MyV0n9JrlewV6VrvzjxJbLp7Xewl5zHXTt133NqQrFsz58TP0t0+pPtDl+bKdnGubevy687e\n",
       "Vfn5uosPHT+3Lrl27na7s2vXb52kz1x6eiZxfZqUne4Nbs649cDNyZEb7y9fvpxdd2eodL+dfZYb\n",
       "+9W1OT1Hbrfbn85P89LzlHLxoWV1+5qLHY1rNwZdejqn0rWla4vb27Vubu3oytK9IH3/odLnzISr\n",
       "W7fnVZ2PgVvr02cW1y/dGOhvZ88dyfuz9LzsxsDVLblXzwpuTJL3H26+ujFI5mD6rs3FcZef9qmL\n",
       "8/QM0/VbepZPnzu636Z97HT3uz1P0zebTXu/e9815jczB6p+HL+Z9x86Pi7W3Dklef52eT0/P0f3\n",
       "d7GrsTYzP6uyOerGU+vm7u+evzQv96zm0rVPZ97Ta1luPJP1wO1p6X7s9rVkzXVr6swZV7l66fjN\n",
       "PLOmz1O3fE8/e8ZN8xu5OePy0t93/Zj2cfpe4Oy3P/1LAAAAAAAAAAAAAMD/KnxABgAAAAAAAAAA\n",
       "AABUFR+QAQAAAAAAAAAAAAAf+IAMAAAAAAAAAAAAAKgqPiADAAAAAAAAAAAAAD4s3A13d3dt+tvb\n",
       "29n16+vrT+f3/v7uqnPm/r7//q35LRaXm+vy0na5umq/jPb7/dn1crn86byqqh4eHs6uT6fTxXtd\n",
       "O5Ubf5e+Xq+vLut4PLbpWvcu1lyfab1Xq1V7vxvvMb3r/2vqpmW5Pu76QfvUtUNjyZXV1c3FmtZt\n",
       "u9229282m4tpWu9kvK5Jd/GR5OXGs5sHuna4dri1Rfutu9/N5cPhcHbtxjOJa7evuLVD6+bi/PHx\n",
       "8WKa7iMuzrt9R9PdeLq1Rfs03SNH6dqR7qHdmLk10vVDcr+mze55WvekbJeengW6dDen0rK7NVLn\n",
       "gJuvro9V1xYXl1qWrrHKjVlyxkrnVHpGHqV96sZb19RuTNOy03NqV1Ya50rb1dXNrfXap2m/dL91\n",
       "Zbt+SGIrHR8XS65u4+9dO92ZJ9m/3XqazIFrjGvozLm/6sc+d2PWpevZ252HXb9p27r70+clJ3le\n",
       "cmOQPkd0+bnztesHV/ZI1zy3BqZ93M2DNHbS58iuPLd2ONoPLs67ftO6JGe3a8rStWnkxlvPQC42\n",
       "xzV3dm1QM7GpsePq5srS33f3u3bqfJ559vvjjz/Ort0ZNl1rZva19IzT9YPW281nV7bGR3d2cOcK\n",
       "fWfQva+q8rE41v3Wz6Qz46n75+y7GY3rZH9Waax180TH283ndG/p2rnb7drfpvt3l65l/fXXX21e\n",
       "ad1m3hFrn86+Wx9/72IlfZZzuvLS99eubmM7028hzsx5XOs9+4yjv+/Knn13prrz1S3PiVXZ83b6\n",
       "nJ++Sx3xL5ABAAAAAAAAAAAAAFXFB2QAAAAAAAAAAAAAwAc+IAMAAAAAAAAAAAAAqooPyAAAAAAA\n",
       "AAAAAACAD3xABgAAAAAAAAAAAABUFR+QAQAAAAAAAAAAAAAf+IAMAAAAAAAAAAAAAKgqPiADAAAA\n",
       "AAAAAAAAAD4s3A3v7+9t+v39+Tfou7u79v7T6XRFta7Ly6W/vb1dXZbz8PAQ3d+VrX3m6rlY2GFq\n",
       "8x+58UzyukZSnrtX+8mNfyeNWzcGY91dOw6Hw9V5VVW9vr6293djtFqtzq5vOSeqfFs62i7Xzm7t\n",
       "WC6XZ9ePj49tXtovSuMhnTfdb92c0rZ03Hrq+lTL6trp1kAty8VaMt+Px2N7r6ub/t6NQRJrrmy3\n",
       "dozpLi5dWdqnM2OgfeRibb/ft+nJWuHK0vnp4jyR7kNK+62LNReHmu7WBrePuXk0SvfbLl3TZvbu\n",
       "z3T9mK6Rro9mz6XJvToGLl66/DQv187krF7Vr3Mur2TOVGV9PNvO5CyQPi+l989wZWl618fpeSjZ\n",
       "A2e5uul8T+aM4/bnZH12+6lLVzPnlHS/dXu9zrmubi42tG5uzLr5nsah64fkXJI+F7pYSs4dLjZc\n",
       "n2r6zHlMx2B2Lxjb5uqVnu1cfl3dNA5nnjE/0+Xn4lyfQ/4ve3e23Ea2bGvaQXSUMvO8/2tus0yJ\n",
       "6Ii6oS0LDJE+MOSRq07t+r8rwWZgNj7biBANybrlzqiunToWJ8/5dO93/evmgT5X6O7X/v777zYv\n",
       "7f/JfP7zzz8fPrs+cONW49bFJV0bJvM5fQ7r7qeTe3n3TEnzSudYl196n+hMntOn9xHpXtDNmx8/\n",
       "frTf/eeffx4+u7p18yRdh/6b52vtAzcHkz5w4zI9E3djKb33en19/e2yXN5puo4dF5cuv/Q85vpz\n",
       "+f3pPWTa31156TN/Fwftgy7G6dlvsuam7Uz3xMlZMX0G0eb1298EAAAAAAAAAAAAAPyvwgtkAAAA\n",
       "AAAAAAAAAEBV8QIZAAAAAAAAAAAAAPCBF8gAAAAAAAAAAAAAgKriBTIAAAAAAAAAAAAA4MPOXfD+\n",
       "/t6mbzab9rN6efn6nbWW5fJK07u23O/3Nq/b7fbwebvdttcfDoc2fel6vbbprp3J9a4/NQ6ubBeH\n",
       "pOz9ft+mXy6X9vOS609Nd9d3ZVU9xknHinLpOkfS/l/Senfzr8rHQXV95uqtcyQZS0rb5eaUk8Tc\n",
       "XZvGtBsf5/P56WurfN00Tj9+/PjyWtc/mu7a7dYDN1aTvLRu7vpuvut3XVxcWcs+dP252/Vbtvb3\n",
       "ZC3SsZHukS6961/X90leVX0faJprRzpuJ/ux5jXtg+W4Pp1OUdnp2FtK10AXF03v+v/19bXNS2Pm\n",
       "zm5urCV7j4uLluXWmm7dSuez48bakotZesbpytYYuHamZ9yuLem5c3IeS/NK07uxlublYpzskene\n",
       "oJKx5uab9sH07J+cBdK1Y01ujXP3crrGdmtuer5y+1pSlusDPY8rHWvd+jwdOwmtlxsrrj+T+2k3\n",
       "bjWmruzp+XspvZebrN9rP+/SunR1c3npHHLjfFnW9B5G0935rctPx8bkWUrVr+teN/b+z//5P21e\n",
       "GmP3jKkbx8fj8el6PVOWjp2uT90c0P5Jn0EuJWexqqpv37616arbG1xeuk65dWtN6T1ren+1pGuB\n",
       "G0tuP9a6d8+g3t7e2rw0/fv37+31f/3115dpOqfW3oe6GKd7gVtTuz7QmE2fnSbvPtI1L30fRnFK\n",
       "pAAAIABJREFUpZbrxdrPs5zkvnH6bHQ5VqfPp9M+6LhzhErvv9a6tmq2T6XP7dJnFJOzXfocqG1n\n",
       "+00AAAAAAAAAAAAAwP9v8AIZAAAAAAAAAAAAAFBVvEAGAAAAAAAAAAAAAHzgBTIAAAAAAAAAAAAA\n",
       "oKqqdu6HwN2PdesPNrsfcO5+7N19V6U/9u5+kHtNyQ+su3a7H/PWdnVlpz8k7n7k3vXBsm1r/iC6\n",
       "5q1cWcsfma+a/TC8OhwObborKxk7VX0faFkuLq7uOn+79cGtHTq23PXd+NCYubHkYqxxmKxb2geu\n",
       "nV1Zx+Px4bObf29vb2269kGX3+l0avPS76bzWS37wI1b1wdaFzfOdX3o8nJxcZb93ZVb5eOgY2ey\n",
       "t2g73V6Q6uZBWu+fP3+213d117ImY+Oz/Lqy3Tqkebk55cbisi4uxto/rq5d3TQvtweme2R3fRpj\n",
       "x8V4OUddf7l0XVO7vaGqb6vGyLX79fW1TVeT9V7b6fa1Lg461ly9XBw0vSvbjVttl9ufu/Ve1yF3\n",
       "rkjPlR3XTo2527eSewNX9vfv39t0t75/Ve4zXB+4di7Hh9tn0jOui1s3D7Qs104neW7g6q1zyK3P\n",
       "yT7l1tv0vDZpp54jJuuafnfy3Kbq13ZO9oL0mVJy3+hinD7vSq//ql6ffVZu/da2dW1Nx7Xrg2/f\n",
       "vj19bTpu3X1HFxdtp2u3689k73D9pecrl3eXfj6fHz6785Prg+R5WPIMsMrvgV3Z6XM6107t727s\n",
       "uv5MnsO6srRu0/5Mn80kz/Wmzzt//Pjx8Lmb766sv/766+Gzu4fp8tN2ps8znclzAY3p5CygMXD9\n",
       "teZzwLSdrg9c+jK/6Vk9vZ/u4po+g0jW78lz9c+k793+zbL0eXi3v6fPTib9mZ7V3VhL69ZJnxG3\n",
       "90u/XQsAAAAAAAAAAAAAwP8qvEAGAAAAAAAAAAAAAFQVL5ABAAAAAAAAAAAAAB94gQwAAAAAAAAA\n",
       "AAAAqCpeIAMAAAAAAAAAAAAAPuze399XzXCz2fQF7nZPf9fV7Xq9RmWt3dZOV9bLy0v7WW232zb9\n",
       "drs9fO76wPWP5tX11zP53e/3T//9OzQOSYyVGztpfktunLl07YNpfkuuHa4/L5fLw+euT11Zmu7G\n",
       "WpLXfr9vr3dzSvObzCmtSzJnlPa1i7GLg9alK/t8Prd56dg4nU7R9WrZNtdfx+OxTf/+/XtUdpeu\n",
       "MXV1c32wHPdujUzXAl1LurKddG1QWpduPLlxne7lXR9oWa4P0nng+qCj7Zycr/T7LoauLNXFTfNy\n",
       "c8alJ+uWy0u5s0EyDyZrfdWvfZSeW5Z0bLg55uazxrWrm4vD6+vrw2cXly5d6+3G+eFwaNO1XZP7\n",
       "CK23m6/d2NW8JuvMZ2UlZbt0Vze3pi5j7spO51xytlc6NtyZx1nW3bXDxUzTXR9041rr4s5bf/zx\n",
       "R5uufv78+WVauh67unXSue76QPObjDVdp9z63NU9vRd3fZDcL7nzcHq/5PpouY6l90NK4zbZCzRm\n",
       "6flZadu6trp9R9OT9X76nEe581tXnqZNzhWfpU/mWHou7c4pOpbe3t7avNJnjl073dqQPrPo0tP7\n",
       "W0f3im5euDmTPs9KnkG4dSl9PjI5C+i4/p//+Z82r7///rtN172/a0vaB+k9bJdX+txW6Vmhmzfp\n",
       "OuSu78aa1sudYZP9tqqPixu32t9uzrh1b7knTteO9LlR8gzZxWX6bmzCxa1rZzo/0/dVk7OHxnRy\n",
       "Vkj39rWfxSVluf5s3/GsUiMAAAAAAAAAAAAAwP/n8QIZAAAAAAAAAAAAAFBVvEAGAAAAAAAAAAAA\n",
       "AHzgBTIAAAAAAAAAAAAAoKp4gQwAAAAAAAAAAAAA+LB7eenfIb+/v7fp+/2+/aw2m83TZd3v9zav\n",
       "7Xbbpuv3d7vdb9XrmXR1PB6j6zvn87lN17h1fepiqnndbrf2etcHy5i7vNxY03a5shPT/ndxTbg5\n",
       "mdCYXq/XUX6Hw+Hhc1fXy+XS5qUxO51O0fVL2s503VI6trrrXUx17KRrSVcvl1e6Hndxc+uQ9o+L\n",
       "i+ujZX7Tcatrv5uv3V6RznW37i37wM19V7Z+f8392Fl7D03y6vrLla394/rL0T7o5o0rK93zkjnq\n",
       "8tL1O61r913XX8na8NnnpX/++afNS03mTJVv25JrZzoHk7zcWuLWXE3vxp5b19J9LcnL9YebB1r3\n",
       "7pzi+kvr4uqWnAWnY+Xt7e3pa9Oz93TtX45Vl5dbpzR90p865t2cScba9Czw559/fpn3Z7q6aztd\n",
       "jN1ZXveWNe9Z1zzbuXuY9MzT1S29X3K6mGrM3LhM29ntoW5/1bq5NVLvSdWybdN2Kjffu3miadO6\n",
       "aX6T/SAdH8u9w/VHuna4/Lrxoc/h0vsnlTxrc/FP7zOSc+UkZlVZ/7u8tJ1u/nfpybm/Kn8207XT\n",
       "9ad+d9r/yz13eq7Qurj7xGTdcudGdxbQtnX7YPpMafIOwe3HKV2LuvXctVNj6mLcpafrUHou7eaB\n",
       "myPaB64/k+f003sSrdvkuYCmufns+mzZzuT54zPpbr3v+ii9b0zHZjee0veFk71F54ibM2s+O3Vr\n",
       "h7ZrMg/4C2QAAAAAAAAAAAAAQFXxAhkAAAAAAAAAAAAA8IEXyAAAAAAAAAAAAACAquIFMgAAAAAA\n",
       "AAAAAADgAy+QAQAAAAAAAAAAAABVxQtkAAAAAAAAAAAAAMAHXiADAAAAAAAAAAAAAKqKF8gAAAAA\n",
       "AAAAAAAAgA+79/f3UQbX6/Xh88tL/056s9l8mXa73Z6+tqpqu9226ff7/eFz11a91pXl2nm5XFap\n",
       "19oOh0ObrnXRPlEubqfT6bmKlY+ppnd1c2PneDxG17t2LuviYpbG1MVlt9v9dlkpHdfdHHQx1bHW\n",
       "tcPlp/Vwa8N+v2/Tk/nuytI+0DVTdeuBfjcZl5/R/uzm6/l8HpWlXB8k3Bqq7UyvX9I+cO1I19xO\n",
       "Okcme0s6p1z/u+8neem4n+xT+l03p1Ld+HBrpK47rm5ur1h+35X9/fv3h89u/nfrmo7Dbn49U7dk\n",
       "nLuYpGUn42N6flpzLGpdJmvgZ/l1cUvvC1zcurprXunZXmndu7ZM7n8+k6zf7to0Dl1+bi3QOLh2\n",
       "uz10ue9N7wu1bv/888+X17qydM1zcybZQ91er+uz0rq7sdnVTfvH5eXGh9ata6vrg3T/7vpIy0r3\n",
       "oX/TmmukxmjazmSPdfc/yTmxKttDp2ukfn9yT6R5Te7zq7LnSi4O+nwkGWvT/tU4uLp291caE7fP\n",
       "uD7QunT5ubw0TpP5rGVNnqVU/dpHXZ+m/TlZM7UsN//cfNZ2de1M95XpWrPMz40N95w13b+7OLj5\n",
       "ndI+7eLiytY4TO6XNWauP10fJfesaV5uDup6vvT29hbl5cZOkt9kbf+MO38vx4/bC9LnepNn7Roz\n",
       "x9VtOe7dHHB7xZrvELS/Xf+7dJ0Hk/04PXd0+5iuUy6v9H6qK9v155rv+PgLZAAAAAAAAAAAAABA\n",
       "VfECGQAAAAAAAAAAAADwgRfIAAAAAAAAAAAAAICq4gUyAAAAAAAAAAAAAOADL5ABAAAAAAAAAAAA\n",
       "AFVVtTscDu0F9/u9Td9utw+f39/f2+tvt9uXafrd3W7X5vXy0r//vl6vT9dN26E0Dmlcuu9uNpuo\n",
       "bKcrW2OitH9cjF3dl33o8urGRtWvde/KTseGu95ZxtzFZL/ft+lat8vl0l6fjGtXNyfJz43bNObd\n",
       "+Hh7e3v62qqq8/ncpmsfubWok873bnxoXm4+uz7QunTtdGWlY83Ng+W4nrZT0yfrWjqH3J645Orl\n",
       "xqHG1O1rHZ1Da69rp9Ppy2vT/nEx7saPluXKdmUldXPjVtd+15/JOcbNqTUlc+CZ67WdXRzT81Va\n",
       "V7WM6/T8lNatK09j5tYSl6516fZUV29NT/etJY2BOwu4stxZYcndT2m93RxM9iE3910ckj54fX1t\n",
       "81pzH6p67FN3Hk7Py92ccX2f3rO69GWcpvuQnonTM9KSjh2XV/ocoJsHbtwmZ9iqbCy6a936ncx3\n",
       "l5fWxZ23unmg9UhjrLS/k+cfrqzkGYPLbzIHPkufrGta7+m9eRK3tA+S66drvY5bt5Z041xj7OaM\n",
       "q7vue5P7xPT+qkvXGE3bqTHt9iK3T6XnsckamUrWZ3euSJ/TJmeL6ZzSe+3J/q0xc3Fx7UzuQ9Pn\n",
       "uq6dx+Px6bLSca40TpPn1xrT9Gy/lN5juv5O5qhbp5JzYpWfJ8vypvfm6RkqeUax5v2SmwPpO6Gk\n",
       "bKV1me5TOlaTdWuSl8tvzfeiVb+uU12fuvmpJnsqf4EMAAAAAAAAAAAAAKgqXiADAAAAAAAAAAAA\n",
       "AD7wAhkAAAAAAAAAAAAAUFW8QAYAAAAAAAAAAAAAfNi5H3d2P8CtJj8knv5wuCtL8+t+3Dv9IfHD\n",
       "4dBe37VT83LtSH/svetT159alivbOZ1O//m3+7HutKyuLW5c69iY/pD8su5uHKc/Wr7b7X47P01L\n",
       "54xK+ihtp+uzbs5p2n6/b/Ny7dCYT+ZB2gfLOaN0zF8ulzYvN65VMpZUule465d96ObA29tbm679\n",
       "59bvbh5ovd2cSdYDd62Lmfa3G2vdnNPvurqlY61rixtrWhc3Prp5ovV2MXbpLuZLrp2a7uZ7sr+n\n",
       "89mtz11+rn+SvKqyM5TLS9vl2uksy3NzIh1rbh/q0nXOuHHq6p7EyZWl43qy3+rano49pe3s1kE3\n",
       "1rQuk7Oijg0XY7fnaVld2e58lcbcjbXl/j65x6z6dWxN9qH0PJb0UXrfp7Quk7ilZ/n0LDjZO3QO\n",
       "pWeHpfTe3K2B+v0uLi5m6ZkniakrO41p+ixnIjkTTdeOdJ9KnnelZ0FXVjpnl87n88PnZC2aPlPU\n",
       "sen6rNuL0ntvV3dN7/at19fXNi/l5nOypk77IDkLpPek6TrXmealz1q6/kzvC9z1bk4t15rpuE3X\n",
       "5668nz9/Pnzunlc9U1Yy37Vsx82p//mf//ky7a+//nr47OZz+ny7G2vpfeHk2dya+0Yqfe4+Pacs\n",
       "v+/Kntxrf6Ybi9rO6fq9THd5pefryfMxjdn0WYvmN9mn0jWyK0vbNX3Hl4yP9Bw5GWv8BTIAAAAA\n",
       "AAAAAAAAoKp4gQwAAAAAAAAAAAAA+MALZAAAAAAAAAAAAABAVfECGQAAAAAAAAAAAADwgRfIAAAA\n",
       "AAAAAAAAAICqqtpst9t7d8Fut2sz2O/3D58vl0t7/fV6/TLtcDhEZb+/v7fp6n7/uqkuL1cXtdls\n",
       "nk7r6lXVx+yz/LqyX176/zOw3W6fzqvKx21ZnmtH2p9d3Vx/aTtvt1tUdleei7GjdTmfz+31Lq5L\n",
       "rm5pene9G9dpnHR9WNL+1nVJaf+r4/H49PVpO127u3HtylJvb29tuo610+n05bVdWtWv9XYx7vrz\n",
       "s/w6bu3QdJd3V3cdWzpWlFuLlvPXjQ2XV9oH3bqne3my1n8m2VvcOULngWtnV3eth2unW2+1bumc\n",
       "TcpSyTkm3fMmMday3PxLY5aeHbqypuexZV3ctele4NrZ9ZGW5fo/XVO7/Fxe6fhI5rNbM936nZzX\n",
       "1+7PTjp/03u59J5nSWPkziGTca3c3qF91JWd9ud0XUvWPVeWjo/JuVPTpvdyyZxKzk+/U/ZSek/i\n",
       "5qDm17UzvY9wcenaoveUk7FR9eva0c1XV29Nd3PfxW1Z9+k9qcbN9X93754+73K0LmuONdf/y7ZM\n",
       "7jmqfp2/6T3PknsOoNY8E7tzhcbY3Q93+aXP7dK1o1vvXVnJfXxV3wdaD9dfbp9K5ow7w7hzhyu7\n",
       "S5+cE6t+HR9u/idnIte/a56v03vQnz9/RmUvab1dO9J71q7sdFy78dE9u/vx48fT1z6Trro+c2NH\n",
       "55S73u3fyzil96RK+8CNzW4vmjwj+swyDmu/j5ic/bWd6VnQ6cp271HSZ4qd9Dlsuod2e016tps8\n",
       "7+QvkAEAAAAAAAAAAAAAVcULZAAAAAAAAAAAAADAB14gAwAAAAAAAAAAAACqihfIAAAAAAAAAAAA\n",
       "AIAPvEAGAAAAAAAAAAAAAFQVL5ABAAAAAAAAAAAAAB94gQwAAAAAAAAAAAAAqCpeIAMAAAAAAAAA\n",
       "AAAAPmyOx+O9u+B+b5Nrs9k8fN7tdu31h8Phy7Tb7dZ+Vq4sV/fk2vf396fzcvlpzC6XS5uXXq/2\n",
       "+/3D55eXr/9fwHa7bfNa2zIO5/O5vda1U9O7drqylBtLXVlV2fjQ/nJlrTk2r9drm+7mnNbN9VnC\n",
       "9UGXrml//vlnm1c6D7p1y9Vbufne9Xcaf9fff//998Pnt7e39vqO1s3Fxc2DZR+5MZ6OQzenkrHm\n",
       "uLVjmd6Ns6qq4/HYpuv8TfetJZ0j07VDJfuz4/qkq7vOx3QNVNquZD4rHdeubkl6OmcmZWtZ6V6v\n",
       "kj5Ly3Jzxs2D5fdd/zprxk3H4fTcqfl1cXFzPY1Tsq5NzhVVv9Zt0qc6Tl2Mu3ZqvN38dGcejUM3\n",
       "Plx/allr9v/0HkZj2tXNjbO0Lu7MsxwP6X7qpPfyS2ueKz7T9X+6T7m6JXWf3t9oWZM+Te7zPyt7\n",
       "KTmjVPlxrnXprn99fW3zSvc8N6eWcXB97+KQzoMuXWM2rVuyhrq8ND25l3P94e5x0v7v2pLuQ25+\n",
       "6p7btTU9d7g5tuZzASeJmzsPp+fr5NmpG2uuP/U5YVe39FmLuz5dUyfXajtdn3XpGlOXl2unxqm7\n",
       "Pn12Ojkrpu82kuc8Vf352sVUnU6n307Xstyzc5eejo+OzkfX/8mzcrc2rP1MsRsf+t3pc4Pl96fv\n",
       "LnScrnlPNNnzPktP7mFUuod2cU3fZa45FtOYTvZj/gIZAAAAAAAAAAAAAFBVvEAGAAAAAAAAAAAA\n",
       "AHzgBTIAAAAAAAAAAAAAoKp4gQwAAAAAAAAAAAAA+MALZAAAAAAAAAAAAABAVVVtDofDfc0Mt9tt\n",
       "m77f779Me39/j8q63W5t+m63ezr/tOyuHVVV9/vXYdWy0rJdWZvN5strX176/zOg39UYuus7XUyq\n",
       "qi6XS5uexMnV243T9Ppl21w707LdOE/6+3q9tnm5PkjKdn2Qjvtu7Op8/P79e5vX4XCI0t286bj+\n",
       "U934SNeOHz9+tOna32n/d1z/uz5w3//da6tm7dSx4Ob78Xhs019fX7/MW7n+1rq4/Lp0LcuNY1c3\n",
       "/b6LW2IyP/W70z1P49Bd7/LSmKUx7uqW5uX2rW5vScelGxvJuSMdty4uruxlumunO0dqWW7dOp/P\n",
       "X6Zpu06nU5uXS9e2ubYkXP93Y03HqZvPro/0+13d3NjQ/nPnsa5uyRx4piwdH13ZaUzdnHLpyZk5\n",
       "jcvk/ku/6/b65P7LrVtpuotLNz7S/dXNX02fzKn0PJaMj+k+pbo+S+s9Odslzwyq/PxL1lx37te8\n",
       "XDuTeZCen5Xur5NzZ3omcpJ7/TXP3lWPfZqOFZXWrRtrOq5d2W5f07HWnZHcnErvWbv80rOXi4O2\n",
       "sxtL6Vlg8nxM80rboabPXru6TPeh5Vlxen5Sk7VGy+ruOary57qT59c6D9Kzw5LuU9PnuskZNj2r\n",
       "u/7v8vv58+fDZ3ff9/b21qav+QxRTfetZX+7dq59H9Glp+ta8gxiGrNkfrp0TUufjavkHOvikL4r\n",
       "6fLT/kvf+ai0DzrarskeyF8gAwAAAAAAAAAAAACqihfIAAAAAAAAAAAAAIAPvEAGAAAAAAAAAAAA\n",
       "AFQVL5ABAAAAAAAAAAAAAB82x+Ox/WXpyQ9mf6b70Xr9oWn3o9fpD83vdrsvr3XtSH8Eu/th6vSH\n",
       "w13ZXUzTazWm0x9gT37MPU3v+tP9MLjGdDrOl3Vx7XD9r99P+6wz+cH0z77ftdXFbL/fR9d3cdCx\n",
       "8Pr62uaVzqmu7MkP2qe0LDc2TqdTm/7jx4+Hz5PxoePQxVj7v+Pa6fJK+rMqW/fcfO7WKeXq5fJK\n",
       "17WknWuuQ1X9+Ej2tGfKTspyMUvLSvf7jqubK2s5v13fa1zc2Oviommuf9P52ZXt2qlr3vQseD6f\n",
       "//Nv1x9u3dKy3Njr1nttp4uxi4Pm17XVxUHb5a7v+kBj6satGx8ah26PTM/L6Zq5dDgcHj4nc/+Z\n",
       "9K4tl8ulzUu/m+z1Tro3qOQ+c3ImfabsrjyXt+tPrfvknJreF7pxncwpR+uS3nckeav0TNTNm+Qe\n",
       "8xnJ9elYUt+/f3/4PJnv6bh1694y3bUzyeuZ/JL9wPVXOtYm96xab9eOZX+n5y2lcUjWTJU+S1nz\n",
       "fildb92c6Z5paMymz6A0vWvLms9Gq/67z4jV5HlnGofk3DmZA5+ZPP/QPcw9Y0r7YHImTs9j3fXf\n",
       "vn17+Ozmp0vXcb/mmcedx5P7Yxf/5f3tM+ndWuPK0u+6dibP4tz8c2X9m88Unenzk6X0fDV5V6Jp\n",
       "030qsfaZp5u/6Xqcvvvqrk/H4aSd/AUyAAAAAAAAAAAAAKCqeIEMAAAAAAAAAAAAAPjAC2QAAAAA\n",
       "AAAAAAAAQFXxAhkAAAAAAAAAAAAA8IEXyAAAAAAAAAAAAACAqqra3e/39oKXl/4d8/v7+8Nnl59e\n",
       "3313s9mM6ua+n1yb5FXVx0Hz6mJSVXW73dp0/X4XF9eO7Xb78Pl6vbbXu/4+n89f5u3KVrvd7uFz\n",
       "Fzc3NrSsNMZqGSetpytbaUzf3t7a65P+dnVz7dS6Xy6XL69N1wLXZ8ux5HT1qvJxOBwOD5+7urmY\n",
       "pWuki8OSG0v7/T5KP51OX167Zr2r/Jxbts21U/ury+uZsrt1T9Mme15V1evr63/+ne63Sr/v+r/b\n",
       "D7Sd3dhweVX9GqeuLa5/tCxXtovb0vRcoWtP15Z0T3RxcZZtS+dAOvaW0nakZ79u/q+9Prv04/H4\n",
       "9LWunRonNza7+Z6OnXR8rDnOJ3NQYz7tTz13dNenZbl2dum6Hqf7r9KYJvPZSdbfz7i4LqVrR3e9\n",
       "q3fan86yLpMzymfp7szb1T2dU258JGMtvQd17eyk/efuzXT8dHFJnzFMzorp+enbt29tujt/J2Ul\n",
       "c70qmyduLKXnyOkzqsSaZbn743R8/Pjx4z//nt4npmtNkpfr//R+qctvzX2oqurnz5+r5eUk95Fu\n",
       "rde8XP93Y1Pr4drp+lN1+aXn5/SMpJZrjZuv7pyS7LdV/R6q7XLt/Oeff9r0ZI9c+xlTt7bo3E7H\n",
       "ktJ2dmtH+kwpPW91eU3Xb61LNzbdWS3dh1x/L9PdnEnONM9I9rHpfF/2wfSZYtoHHb2XnjxTqpqv\n",
       "sUtpO7u6aZrr+3SdmqwdajI++AtkAAAAAAAAAAAAAEBV8QIZAAAAAAAAAAAAAPCBF8gAAAAAAAAA\n",
       "AAAAgKriBTIAAAAAAAAAAAAA4AMvkAEAAAAAAAAAAAAAVcULZAAAAAAAAAAAAADAB14gAwAAAAAA\n",
       "AAAAAACqihfIAAAAAAAAAAAAAIAPu5eX/h3y+/t7m36/3x8+u/z0+qXz+fzwebPZtHm5sjR9u93+\n",
       "Vr2qqk6nU1S3rixNc3ndbrc2PeH6U+vi6ubidjgc/vNv11+OlnW9Xr+81rVTv7us52e6/tT8XEzS\n",
       "ObXb7aLrJ2W7sabf78ZHura4sdbFQcuajjWd711+3Tis+rV/XH91faDj0I1bVzdNT8aSy+tyubTX\n",
       "J33k2ql7h9Kx5ebzpCzlylrWzcXfzRGNk5vvHa33fr9vr3dx0bp0cXFluTgk16dj3s0prXuXv+uf\n",
       "dI1M9vf0DOPmc9fO9MyTnv26sl1ex+OxzVu5cb7meU3pvqSStWlyVq/KxqYbO+k+1JW19vla07t1\n",
       "azo/E7rOrH0v13Exc2ukmtZ9Kd0bkns1pePatTtZc6drpNtDVVd3HRvuPJaev7v1IV2HXB8kzwFc\n",
       "2W58JM8gHM1rMj7S5zZrzql035nck6Rlp3uFWweT/p7uHTonu3mQrreuHcsz1Npnu8k5RftHz3pJ\n",
       "XlXZ87F0r//nn3/a9C4O+mxkOs41v8lY0u+6sdQ959G8XNlun9Lx0fVZutancenqNn0Wnq7f3X2G\n",
       "xsjdc6T7d9cWt97qOWLyTDG5j6/y92aq6393v5Re39VN2zW5z/8sfXLPs+bzSa1LOieU1s3N5+RM\n",
       "vOZ8n64Nmp6+I1jSNXT6vDN51pLGYc17dSc9+3XXp/c/k7HGXyADAAAAAAAAAAAAAKqKF8gAAAAA\n",
       "AAAAAAAAgA+8QAYAAAAAAAAAAAAAVBUvkAEAAAAAAAAAAAAAH3iBDAAAAAAAAAAAAACoqqrdZrNp\n",
       "L3h56d8xX6/XqMAuv+12+/D5fr+PytayurZq2S79dDq1199ut6fzcjF2faRx6triYprE7BnL8s7n\n",
       "c3utK0vbdTgcfrte2s6uv56xrJsbS64Pkv6syudgJ50H7+/vX17r2ql5ubK78aH96cp2Y1HHVlf2\n",
       "brdr80rH1n6/fzpt7TWy688u7bN0t6659GV+k/W26tex5fqsS0/XxKSd070g1eWnY8eNtbRuXX5u\n",
       "rCnX/8neP43x5XJ5+Ny1Jd3bXR8kcXAx1v53++23b9++TEvWmc/KVhrjLi7p+pyekbr8XDvTNdK1\n",
       "paMxc2PPlaX93Y09t34rN46TtWPaB1rW5MyjJmc37b/pfpuuNR2N0SSvVLqmTtZ7nSNurCVnf1cv\n",
       "l65jy515u/GhaW9vb7+dV9Wv83vNc03a/0vJ3l3Vn9U/q4vmv+TW2/R83dGyXNlu79d2duu3W/PW\n",
       "vo9Y9lE6Ll1Zk/me3rM6WpdubLqyNC+3dizj5saS64N0bHbp2g439tJnM5Nnivrd6bPYJTeO0/Qu\n",
       "xmk70zn2bD0+k95Hdv2fPktx7Uyep6Tj0tVtst8mzwCfod/v7hXSvWByhtL+mz5nTd5vTM4wn+n2\n",
       "Am3XtD+1bt08cGXpd6d1W46P6XN6jak7C3bjJ52P3Tmy6rFt6X2fSuuW3B9Pnmd8ll8yn5XGyY2P\n",
       "Lr/0mX/63Hdy7lDpvvaQFpUEAAAAAAAAAAAAAPhfixfIAAAAAAAAAAAAAICq4gUyAADEYawzAAAg\n",
       "AElEQVQAAAAAAAAAAOADL5ABAAAAAAAAAAAAAFVVtXl9fW1/QTv9EfrJD0+nPwzvrk/yc/XWdrq8\n",
       "ux8S1x8OT39A25XVXe9+hD75se4qH7flD3S7HxZPx1p3vesfjbnrAyf54fLz+dymJz8Mn5btuPGh\n",
       "dUvn7JLGXOeFOh6PX6alcyqd7x03rtO6dTFN6lVV9ePHjzZdx+LlconyX1rO9ap8rVHLOLm8HO0D\n",
       "V3Y3Fvf7/cPn6dqxNJ3LOnYOh0N7vbaly8u1081fpeOlK9uV5erWpevYcnNgOq4TGiNXtyRu7tpu\n",
       "bKQ0/m7NTPfvTrrWp3ugWn5/zTPqM5J1Mj1vKR2bXZ++vb2tlldV36ealp6fXXp3fZrXhK6Bbv11\n",
       "MdW6TfY1zWs6n5ffn94vJfua2z9Tydqy5j6ieafpGqPp2rHmfUR6b971t6Z1Z5SqqtPpZGr3fNnp\n",
       "+WkyP/W73b1Vld9Dk7qk5ye3bjnL/NzYSM8lLi7JnJq2U3Vj97/9HCiRPlOcPO+a6vJP96nJ2UHn\n",
       "b7qWqOR+Od2n1rxfnt6jJOeU9JnS5Fm41mV6Fkj326S8v//+u03/559/2nS9p+3ikj6D+OOPP9rr\n",
       "u/Odjq3pGpe0c+37xm490Hr8/Pmzzcul65moa6d7npGeO9N7nE7yfPKzz+76pXR+uvTl3j+pV1X+\n",
       "7HRy7lDpuaObo25saPrkPiJ5ZvBMWcnak7bTac84UU4AAAAAAAAAAAAAgP+1eIEMAAAAAAAAAAAA\n",
       "AKgqXiADAAAAAAAAAAAAAD7wAhkAAAAAAAAAAAAAUFW8QAYAAAAAAAAAAAAAfNi5C97f39v0l5fH\n",
       "d9C32629/n6/P1Gt58rebrdRelK22mw2D5/P53N0/ZLGKI2x0nZ213f1eqas1DLm07z1+5P+1Ji7\n",
       "sZSMa3eti4P20W7XT9OuT7Wdl8ulzcvFVNP3+/2X17qYpv3XzRPNa7p2aLu6urp2aF1c/3f9rWW5\n",
       "sl1ZSX7X67XNS8d9OpbUsu6uv9y6lq653TzR73Zz4Jm6JfVyZbm1IpHUu8qPD5e+5MZGOtYSrt1u\n",
       "LGofJuuzq8sff/zRXu/OJctx7drp6pZIYvJMuva/65NOWrckLtN2uv1adfMgPT+l87/j1iWtW9ru\n",
       "jjuPORqHyTlWx+kkxhqj6dl+zfN12s7krOCudWvB4XCIrp+UpZK1w+2XadmT85jWxbUjfQ7Qjc3j\n",
       "8djm5fJWXd2TM0qVX9e0Lt265srWstI1dUnn4/T8lKwdbtxqXuk9jFr2t4uZS19zfGi9p2tkcl+S\n",
       "rgWuD9x9yaRsp4ubxt+tS+lzg24s/zefC6RnlPSZYhdj3U9dXpM+0HpMz6ga067P3JlU1wYXY7eW\n",
       "LOMwXRvU5Nmc9p+Li0v/+fNnm770+vrapmucXNldH+maNn2umzynd2Xp2HHjo3suoHm5Zwjp+XvN\n",
       "+8jp2X8Z82T+fUbXvclzA23X9Nn5sp3T+3xNd3E7nU5fpqXPbdKzfxfj9AwzmQdrP6dPnlFNnzmp\n",
       "7mzHXyADAAAAAAAAAAAAAKqKF8gAAAAAAAAAAAAAgA+8QAYAAAAAAAAAAAAAVBUvkAEAAAAAAAAA\n",
       "AAAAH3iBDAAAAAAAAAAAAACoqqrNH3/8ce8uuN1uUYb3e5tdbTabL9NeXl7az0lea9OyXDu79LTe\n",
       "Lg7b7fbh8/V6/fLatfsz6aOuXs/QdiZjSWm7XN32+/3T6a5sV5amuz7rytN2agyVS39/f3+6bFdv\n",
       "zetwOLTXd32gY2GS12d169ri5rPG9PX1tb2+y0/r4WL88+fPNv3t7e3h8/l8/vJatxYojWGannDj\n",
       "Vrk+c3M4KduNxeX3XV7H43FUF9X1qcYgzVtpf18ul6evVTruXX/udrsv0zQGSd8/o4txF4PPvuvq\n",
       "1rVT83P7kPaBi3G3pqYxTa/v6paeYabr1jI/V3Y6ztNzzaRs19/JmbjbV6qqTqdTdH1XlrbLtTM9\n",
       "C3TSmDnd/q5rh+t7t35rHLq4pPcRThKXZI17pqyuf13f637sYuzqvqybi3G6d7hx3uWne8V0XUv2\n",
       "tfS+0bVzzTXS9VHSznRtn+zHeiZ143LNc6XLK5mfVdkziLWfKem+pZJxPd07NL27fs37nzTv9Nw5\n",
       "fWaRcO3W9OReXaX3v26OJtemc7BrZ9qO6fhI8kr3qS4/t68otz+7sbYcP9PzlpY1eRarMXNn9X/+\n",
       "+WeU/5KLme5r379/j65fSvdbR/NLnr24vNz1yRx1e9rff//dput4mKwdaTuTZ+XTPVDrlp7Hl3Q9\n",
       "nrxfqnqMa7qnOW7tSJ7FTJ+1JPes7rm7jlt9Nq6S85VbI9241f2827/TPXGyt/AXyAAAAAAAAAAA\n",
       "AACAquIFMgAAAAAAAAAAAADgAy+QAQAAAAAAAAAAAABVxQtkAAAAAAAAAAAAAMAHXiADAAAAAAAA\n",
       "AAAAAKqKF8gAAAAAAAAAAAAAgA+8QAYAAAAAAAAAAAAAVBUvkAEAAAAAAAAAAAAAHzbfvn27dxfc\n",
       "723yL+nu+s1m83Tafr9v83p56d9/d2Wl176/vz98vt1u0fVdmit7u9226Rrz3W7XXt/RuqX93+U3\n",
       "qVfVr3HqYuximtYlud6NDVc3jen1ev3t8nSOuLLdnNI4XC6XL691Y0PHtYtxV7fD4RDl5ejY6saa\n",
       "i5m20/VBl65ldfWqqvrx40ebfjqd2vSkLB2H3dh4Jj8X14Qbi6rbe3RsufXZpX/79u3pa13M0rHW\n",
       "laftPJ/Po7ppf3Z94tZQrXc6NpO803StS7d+uzGerEO/k18nOT852teuHm6+JnMwjZnr32RdcvuQ\n",
       "i7GOW3cW6GhMXTsmZ1zl6q11c3tHl65luXam9xFJu1U6D5Iz7vSsnswDN67/zT5I7jmeSU/2BqUx\n",
       "cvesbr4v99jpWp+eU7ryNEbuLJDuHUnZSmM+2bdcjFLJ2uHWPM3L9b/eEy2lY8ON6/SZRie9d0vu\n",
       "t6d7Xpd3Kr03T+vWxTG9j0jmxWR//KysSVz0u9PnH8k4d3kdj8c2fWJyTqzKxnV67pg8/9B9x82J\n",
       "dI/srnd5pc/C3Txx+8GSi6mOB5d3N37WfBb+WXoXN7c3LJ+lVPk55va1JRezdO1Y89zpyu7aqXPK\n",
       "tTN9ptj1f/puI5kTrrzpfrvm/Ve6Ribv2abPwtNx2tVN15X0HYFKnoenz2Im5xgdp5O5/plufLiY\n",
       "aRwm+xR/gQwAAAAAAAAAAAAAqCpeIAMAAAAAAAAAAAAAPvACGQAAAAAAAAAAAABQVbxABgAAAAAA\n",
       "AAAAAAB82Oz3+/YXlNMfnp78IPO07AlXL/0RbPej9e6HrBMuL617FxdX7/SHw5MfonfXTn84fsm1\n",
       "Mx23rg+W33ftcDFO69b9QHsyNp4pa7/fP329/pC8y8vF+HA4PJ2meSv3o/barslao3m5sdnV/Xq9\n",
       "tp+VG2vu+0trz6lknri9IK2bi0tXd01zdTsej236su7pPqTS9buLm5aVzhmVzveO9qcbx13dNQau\n",
       "XulY7Mp2a6S2y/XBmucSrVuyVjjTc6LWpVtLXFnan90+U+Vj/O3bt6evTft/Ure0/9Lzd5e/G7dv\n",
       "b2/tZ9X16Zr3BVW/titdY/8t6brlxqLq2pmcxat8n7i6L8dPen7u8qrq2+LqtfZYW+bnYuzms9Z9\n",
       "Mj405tP1W7/fXZ+OnXRsdmW5stNz5/l8/vLatcdaVzfdR9wZ1d1PJWtkOjam69ry+2vPVzfWkrVl\n",
       "em+ucejyc/2pkj0vnRNK12d3RupoO9e+v+rGZvq8y8Wt6389q03Hks7nrm7/5lhy0rO9SvYONzbS\n",
       "Zwwuv+Ve4eaAyyt9btSVp+2ajNuq7Nm626deX1+j67v5mz6fSPe15BmTSteOjn7XteN0OrXpesb5\n",
       "8ePHl9e6cZ0+v07WvbWf0zvJ+dpZ8/1SeoaZ7C1pf7q4uPU9yWvNe9rJPcgz+XX9v/b7pW6v4C+Q\n",
       "AQAAAAAAAAAAAABVxQtkAAAAAAAAAAAAAMAHXiADAAAAAAAAAAAAAKqKF8gAAAAAAAAAAAAAgA+8\n",
       "QAYAAAAAAAAAAAAAVFXVzl3w8tK/Y95sNg+f7/d7e/3tdvsyTb/7/v4+qpvm112v7XBc3Trb7bb9\n",
       "rHa7vpu0LpfL5ctrr9drlFfa/126Gxtpehe38/nc5qVcjF07Xd2Ta3WOTOqWjuu0nV1b3Lhec851\n",
       "Y/4zblwn16f9062BLj1db11cNL/9fv/ltS5mWm9XN9f/h8PhP/9+fX1tr033Ale30+n0ZZqOQ7cX\n",
       "uLVoOX5cTFw70/W7q3uyf1Zle0GVnzcJV7euD9x8TGk7uxi7eusaOt1Dl/t/mlc6x5Y0Bi7m/83z\n",
       "mM51t2Z2a2TVY9vcGHd9oP3v6rZcM5O0z6TzvesDtwYm+1BVf47VseXGRrrmdueadBxO1lQdO64d\n",
       "6f1U1053H6F5Tc8Cy3nk1g5Xls6DLi5pzKbr8zIOLibufK3pri1d3bQu07Gm6d06mZ7Vna6d6Z6X\n",
       "jo81zzxOV1Y6Ntyc0/ySdUul5+tpH03Kmsx3XUNdXq6d2t9dfml/unG7PEO5GKb3y5Mz1NvbW5u3\n",
       "WvO5QHrecpKx5Li9Q9vVtTPd29OyO67dLj15ZuH6U8tycyx5Fpvup0rr4u4jurppjNzZPj2ndNdP\n",
       "z5Gqi5vGLF1/VTI+XP+k9xldTLXerr+Ox2ObrnFKnqWp9F2Js4zr9LmPfn+yrunYcGuDuz926Yk1\n",
       "38tpvab3EQnXP9rOdE/tuLzWfIeQrpGTMyx/gQwAAAAAAAAAAAAAqCpeIAMAAAAAAAAAAAAAPvAC\n",
       "GQAAAAAAAAAAAABQVbxABgAAAAAAAAAAAAB84AUyAAAAAAAAAAAAAKCqqjbfvn27jzLYbB4+3+99\n",
       "dnp9l7bdbtu83t/f2/Tr9fp03bp6fVYXd31H6+Ha6cp6eXn8fwDd9S5m6na7RderZV3c2NB2dHlV\n",
       "VV0uly+vTevt+sBZ1t31l+uDdGx1cdOYu7jsdruo7M7xeGzTtW5ufOz3+6fLcv3p4pDU7XA4tHlp\n",
       "f6bzuavHz58/27x0DVSvr68Pn7v+T2N2Pp/b69cci+5aTU/bspSuoe76ZX+7seTouHft7NZQjUG6\n",
       "R6okbm4tUJO6aYzcPuRofl27Xf+ke4GL8TKuybj87HNStq5Dbl1K9++ubtPzlZqsHWnZum659aEr\n",
       "O42pa4fWLZ2z3Xfd+EjWZ1cvV5bm1/VBevZzYzNZi1w711xTXb3SNdWtRcne4ca56+8ld66Y3jdM\n",
       "uJhoHNK1Zsmd5V3Zqjt3pNLzdUdj6sZtOq4nzyDSdnb9+ddffz187u6tqvJ2dv2bznU3lpIz1PSM\n",
       "uua9eXrtmut7eu/lzh3LuE7PRxqHSZ+tfQ+jkueZSuvmxl43R5NnY1X5WXDSTh1Lrp3duqVlpffi\n",
       "TtcWd254e3t7+DxdS5blTee+1kXrqpL92a1bLi+NQ5efPq9Sek5x65bLbym9X1bJuxJXlsZ0cu+V\n",
       "3uc7+tzvdDp9eW2XVpWvkWs+Y3JrZHpW7CTvcJ5JX+5j03uv9PpunUzffTnatq5P0+dA0/GxNB23\n",
       "STvTtWCyh/IXyAAAAAAAAAAAAACAquIFMgAAAAAAAAAAAADgAy+QAQAAAAAAAAAAAABVxQtkAAAA\n",
       "AAAAAAAAAMAHXiADAAAAAAAAAAAAAKqKF8gAAAAAAAAAAAAAgA+8QAYAAAAAAAAAAAAAVBUvkAEA\n",
       "AAAAAAAAAAAAH3YvL/075Ov1GqVvt9u+wN3uy7T39/eobFfWfr9v07uyVdrOzWbzZdr9fm/zVl3M\n",
       "qn6te9cW106ldU3Tl3V3MXNjUdO769Nxm7TjM8u2uRin/TnpA42R6wNHy+raerlc2rzSuiRl3W63\n",
       "Ni/XBzp/uxi7sg6HQ1R2F7fT6fR0var6dajK130pjZmbz0nZ03bq913duvLS9Vv7v6P9q1y907XD\n",
       "xS3JK91bOq6dyo2lZKy5a13dNKZdjN0ZRctyMXZ1X35/mpfq1i0ta3oW0Py6GKdroBvnru7L77sY\n",
       "u7LO5/PDZ7endmtRuja49T45j63Zn8+krykpy80ZzWs6PpJrk3Hr8kvHjothsqa6PXLNPc/Rek/v\n",
       "l5L+Tvcht9d055RkT6uqOh6PbXpyr+/6O107unVNv+vOdm6+J+fO5B7zmbK7OGhM3TqUPEup6uPm\n",
       "9jBtV3q9Suo+vT9WXR+ka0d6Ju76NFlnnuHGbiJ9NpM8a3PSs383Xtw65NYW1c2Dtcetxq2LS/rs\n",
       "1I2V5L7DlZ2eO9I5NskrOY+5mLg1Uu8jXNy6uqX3+e4skDw3Sp/zuLh0+a35fPKz/Cb3rBoj186k\n",
       "XtO9Qed3F0e3N+s5xbXT5ZfMqfQcOckvWW+r5uveUvosdHLPqjGbPIf9rC6T/VjH1iTGaczWfA7g\n",
       "2pmsQ1Xmuc7TtQIAAAAAAAAAAAAA/K/GC2QAAAAAAAAAAAAAQFXxAhkAAAAAAAAAAAAA8IEXyAAA\n",
       "AAAAAAAAAACAqqrauR/r1h+9VofD4eGz+5Hz6/X6ZVryw99V/oelNb3L3/2Yt7bT1bVLT3/wflJW\n",
       "KonZM5ZxdWPJjcXT6fTw2f3weEf7s/vx9So/Plzdl9y41Zi7unXpGqPpj7lrHLq4pP0z6QP33Sk3\n",
       "djtabzdWurjp2uHm536/j9K79dmNW23X+Xxur3fr4LJPp/2rcXJld23V/nR162Kq+em65MpW6ZxL\n",
       "1q1p2doHSYxdXk7XR5qXyztdIyf7lMbIxSXhxpqri+ripnNgug8lZafj1rXTrWvL8qbnJ+0jV7du\n",
       "n9K5np6fXX5dn6Vn2Mlao/V266+rW9IH7pyQnse6OOjePe1PbefxePzyWtfO9MyjZ/sufXo/pHvB\n",
       "ZI7qWuDGbXKOnKy3n5nUTdNcXu58lay57gyr33Ux7spya4VKzyld/m9vb21eGodufn5W9pL2j5uf\n",
       "bs9z+S+5ca1cjF2fJWuHq5vWxeWXzPe1z51dfmkcXIyX10+fpaRrTVe3dL9N945JXunZrqt7chZ7\n",
       "RrI+p2VNzjzKza90j5w8/9Cx4caKi8NyfXfrs9sLdG9x87lbv9N7uXROTe5x02frHR1b7hySnjuS\n",
       "exhnclbUerj4u3GtdenO9u7cr3Wb3kcs2zZZb13en+n6YO0zUVJ3d236zDl5J+D604013UO7/FxZ\n",
       "a7770na6dcn1Z/IccHrGVd1ewV8gAwAAAAAAAAAAAACqihfIAAAAAAAAAAAAAIAPvEAGAAAAAAAA\n",
       "AAAAAFQVL5ABAAAAAAAAAAAAAB94gQwAAAAAAAAAAAAAqKqqzR9//HFvL9hs2gze399Xq4zmtd1u\n",
       "2+tvt1ub/vLy+H58t9t9ea1rp9blfm/D1sblcrk8Xa+qX9vh0q/X65fXuphpuqubi4NLX3LtTPsg\n",
       "4fo/4WKcjp10bC5pTF3Z6XzvynZjR6XjfCntv3Ssde3c7/dR2a4Pzufzl2k6t6fjNlkj3Vqv69qa\n",
       "8zNd69XhcHj47MbmmvtaskZO+3PNemtMJ+vQZ9/v6ur6U8eDuz7h+su1U7/f5Zeut65uLg7L9UPn\n",
       "q9Ky3Njqzh2aNp3PWrcujum4dHVzcVjWLW2HSvfQLg7J/HN5ffb9ri3JuHxGsrek81VpO7u2pOvQ\n",
       "pA/S9dnRc0wXN91PlY5b179vb29t+nKtcnmle6BbBzvpPYnro2V6um6p5GxXVfXt27cv07S/p32g\n",
       "6afT6ctrXf9oHNKzw0R6/9vVzdVL7wsm813rkd4PqWTOrXmvXbXufUbKxaWTzs/0/ri73tVbv+uu\n",
       "X9bd9Yebz+nzj24tSp8prvlcwNVb57u7PjlfuT5Iz7jJOcTlNdkjX19f2+8qV7fkTJzuQy7GyZo6\n",
       "ve/r8v5M19Z03KbnmC6/dO1In811303vxVSyR7prtQ+Se9JJvarm59KkbF3bXf9358iqx7pN18h0\n",
       "ze2s+X6p6rGd02eCGofJWpS2M92vu7a6e5b02Xq3HvzbZ9LJfNbvTuYzf4EMAAAAAAAAAAAAAKgq\n",
       "XiADAAAAAAAAAAAAAD7wAhkAAAAAAAAAAAAAUFW8QAYAAAAAAAAAAAAAfOAFMgAAAAAAAAAAAACg\n",
       "qqp27+/voww2m83D5/v93l7flad5Obvdrk3Xutxut98u+3q9Rtd30phdLpc2/eXlpf3cla0Oh0N0\n",
       "vcals9/vn772Mzp2urhtt9s2L/2umwcuDsvyXH+6mOm4dm3p+lvH/GTcfqbLL4lZVd8Ol655ubLT\n",
       "dS+JsXL9l1yv9XbtcDHVsiZzSseti4ubB8u2uXY4p9Op/ZzQuuia6a5XSTvduNb0yZzSsTCdUzoe\n",
       "uvGRzhlXN7cmJ2W7dB3X3Th3ZxhNn7YzWf+13i7vri06Ntza4NKTdqTnJ8f1/7JuybhzeX32OaH1\n",
       "duexdK3ppHukuz4pa9oH6VrU0bq4+d/RcT09C+j3u+vTslwfJPeN0zVuEnOldUljrJKxlp7tXFzO\n",
       "5/OXadpOV0/XTh27Xd1cO3Wfmqwd6ZnHSdaidE65unVx0zmw5v2vy8+VlaxDVf78veyD6b15upd0\n",
       "80Rj6sZtuoaueVZwZb+9vf123i59cn+tZxzXDldW8twgOSc+U3ZyrzbJq+rXuHVtSfdTF8OujzRt\n",
       "ehZInl+me7s7X7v8lm1b+97b6fo7ed78TLrWbXK/rGW5e79kP+7OR8/ULbmXmz4rV10faIySOfGZ\n",
       "9Eyc5DV9X7Vs6/Q+IV1zE25dS+bc9KyucZrcZ6Zn2PQMkzw7V1q3yfNrHTtuLLm6pc/iEm6N7OrO\n",
       "XyADAAAAAAAAAAAAAKqKF8gAAAAAAAAAAAAAgA+8QAYAAAAAAAAAAAAAVBUvkAEAAAAAAAAAAAAA\n",
       "H3iBDAAAAAAAAAAAAACoqqrNn3/+ee8uOJ/PbQbv7++PGW427fUvL1+/s9Y0l5ej3+/yu91uUV7O\n",
       "/f51WLsYfGa73bbp2gf6ecm1Q+vtyk7acr1e2/S0bt31a9bblaXpXfyfSdd2urq6ti65cd6N26qq\n",
       "3W738DmNY5eX05WVxsyVrf3dxSWJ/zO6eZLU63ekfbKk9XZ1S9LdtW5ca3q61iylc2C/37fpy/Hj\n",
       "2unq7eKgurppXdy65dZ39/1n61WVnxXe3t6erpcr26Wrrk9cf+lYm55TlmPNjdvL5fLw+XQ6/XbZ\n",
       "OpZcO9Kx1LXFlZWeYZM1d7o3aF0m+7eOW1c3txdoWV3ZbuwkZ7uqdc88jpbVtdONDc3LzcFkrOl8\n",
       "TfPSmHfrXFpvt/YnfeTa4crSdk7WjvT8m/Tn9P73cDhE13dz6ng8Pnx2cfn582ebrmN1zfvlyRqp\n",
       "Zbk1MN2P11w7nG7+pvuKew6kde/2b9fOdJ9yluW5OeXOHalkDrv56uKQ7Mc6n11Z07otpfMzuW9w\n",
       "ZU3v1VTX7vTc4daarg/SslwckmeKTnJ+cmXp/JzeD2t+3byYPOv6zJpzJr1fSteSLq/pvpXENX0G\n",
       "MVnP0zHv1tRkXXMxS/fIbp5ojNx9hBuLuk5N9m+ti6ub67Pl96fPFDVuk3uc9L1L0t9rPzOcnKHS\n",
       "dSh57+Ks+Q6vKnvP5trpno/oGtnVLX1+5dbf9p1t+00AAAAAAAAAAAAAwP9v8AIZAAAAAAAAAAAA\n",
       "AFBVvEAGAAAAAAAAAAAAAHzgBTIAAAAAAAAAAAAAoKp4gQwAAAAAAAAAAAAA+MALZAAAAAAAAAAA\n",
       "AABAVfECGQAAAAAAAAAAAADwYfPHH3/cuwve39+zDDebNv1+b4uLyt5ut1FdurJdWbvd7um8XH5a\n",
       "r5eX/j2+S1ddXFz/aL1dXJL8rtdre23an11cXL1ut1t0/ZrSPnBxSfJyY8mN62Qsumu1XZN5oDGd\n",
       "xOyz/Lqy3RzRmKb939XDtTNdp3Sdm+Slcyy1XC/SNVBN67Kk/ef68/X1tU1fxvxyubTXuj7Q9DX3\n",
       "qekaqWO1q5urd7p2dNY+4yT57/f7Vcty43yZn4uZ7tdu/+7amcbYSdYaFxMda5N2VmUxdun/5rnE\n",
       "tcOlJ2eodJ9K99Ql3cOmZ9jkniXdC7r9tqofi+mcSudB1xbXTl3X0n1LnU6n//zbtSOdU5Nxq2W5\n",
       "diT3Jek9qSvLld3FTfvT5eXOMT9//ny6bBfTNc92ysU4XUO7dqbtmOwta+/HqmtLOq7XfD7iyk7P\n",
       "kZN1Ld3bv3371qYn+aXPWtJ1cE3pc4Ql3T9djNI1dXKtprux6c6lCdfO5Dzm+kfLcntDsjZNnqVU\n",
       "/drObiylz86mz6+Xe67rexdT198quTdPz4JK49rtHa6da96zquPx2Ka7/tR2dePpcDi0eaX7d9ef\n",
       "Wi8XszSmXdlubKTPcZNz55rradVsLTqfz1FeyT41Peulz0eSs4Ab58m9d1XfVlfvdD9O8nLSvaKL\n",
       "S3oWm8wD/gIZAAAAAAAAAAAAAFBVvEAGAAAAAAAAAAAAAHzgBTIAAAAAAAAAAAAAoKp4gQwAAAAA\n",
       "AAAAAAAA+MALZAAAAAAAAAAAAABAVVVt/vrrr3t3wfV6bTO43x+/vtls2uvf39+fzks/q91u16Zr\n",
       "XV5evn5f7tq53W4fPu/3+/b6ru4aA1d2F7PP6tb1QRpTd30XU/2+y8uNHU3v4uJipvV2/enaeblc\n",
       "/vNv1440pq7szu12i653dVOTuulY03GsXPqSq5frIx0P3fUuxjq/0zW1q4eLiWun1r0r+3A4tHmp\n",
       "5Zz4zHRtWUrHubu+i5vG3NXT9dHy+9M1Ml07urGoaemaqpL9fe12uvwSa47btL/TuKjluHdzQPs7\n",
       "vf7fpHXp4rLmGpimT/c0rZuLcZe+5hyoyubz2ueKbt2anEk+o3FL27KU7h1df2oM3PycnhWSa/X8\n",
       "5M7XLr9lWydzoOrXOHVxSc8J7oyUnGGn8zUdt91Y1Hq7GLuzX7JXpPfHkz1S2+na4caHxrx7ZrH2\n",
       "GSZ5BjGVjLV07EzP18/W6xnp3pLcR0zXZ01P74mWdL0+Ho/t9cu6T8/HyXOeZ11Agb8AACAASURB\n",
       "VPJbcvtQOi+6693zSZWeU5c05q4dro+SsePir+mTe9z0/JSe5Sf3pCp9btuVN70n0f50+1onvfd2\n",
       "dUvOFmkfuHGczCmXVzoPuuvT59H/zWcS6f49OQuk9+ZJ3Sb742d1mYyP9FmL21uW6WmMXd0m55Tk\n",
       "ndwztA+S55nOpG7pd9P7zMn5PXlf6PAXyAAAAAAAAAAAAACAquIFMgAAAAAAAAAAAADgAy+QAQAA\n",
       "AAAAAAAAAABVxQtkAAAAAAAAAAAAAMAHXiADAAAAAAAAAAAAAKqqavPnn3/euwve39/bDG6328Pn\n",
       "/X7/25W53+/tZ/Xy0r//3mw2T5edttPVbbvdfpmm9U7q+Ux+HVeWxmFat2XcXIwdrUvXB67emu7G\n",
       "rav7si5ubBwOh6huLr+urWnMXdx0rHVjL+0D186OfteVfTwe2/Rkjl4ulzav6/Xafk7oOHXt6Nah\n",
       "qmzNTddI/ezK/jdpWa4tXbr2wW63a/Ny6/Py+y6vZB36neuXdFy7/prsiWleGqfJWSCNmZPUzdU7\n",
       "rcukv5X2v1u3unVQ09xYcPMg6bM0Ji5GLg7L8lw7Xf9ruotLt+Yme3fV+mfijs7PtOwur+R8/Jmk\n",
       "XW7PU5O9Q7/rziGubhrzrm7puHbtdJIzkzv7nc/np/Ny9wVpHyT3tNNzRXpW7MaHa5dK52/XJ8l6\n",
       "O6V5JWeWZ0zOAuk+1dVdv5uuWy6/Nc/2bj4ncZjmlayRVVl/u7ql93Kd9Ezkxuaybsn9zhqSGE/u\n",
       "+6rWPVuk/d89N0rvvV07tY+6NdiVpXlN1ut0XZk+v0zKTveKNfNL73/dnpqct9wZKe2z5GyvdGxN\n",
       "5nt6f5P2QVd2GjN3tkvO8tOxoemT5/T6XXd2T+7dp3npeuz6vxvXp9Pp4bMbt8l9yfS5nZqcidPz\n",
       "tYuDfr+7T0n39nStWdKYunam7wS6sZSeEyf9yV8gAwAAAAAAAAAAAACqihfIAAAAAAAAAAAAAIAP\n",
       "vEAGAAAAAAAAAAAAAFQVL5ABAAAAAAAAAAAAAB94gQwAAAAAAAAAAAAAqKqqzffv3+/dBbfbrc1g\n",
       "u91GBV6v1y/T3t/fo7xfXvr331rWbrf77byUq1sXN21nWrbS7282my+v7dKqfq2bu/5+b4fPw/c1\n",
       "71QSJ1dvzStpx2eW4+FyubTXurL2+32brrq4allJOz6jcevm1OFwaPPSuri1put/netp/yuNQ5ef\n",
       "68/z+fzw2bUzmb9urLg5p3Xv2pKuU+56jYtatjVdt7q8qmZ9oGPDle3Sl3Fy7XQ05q6dXX/rd9MY\n",
       "q+SskI61SdnpepuarB3KxcX10XKddNdq/7u6dnuBxmB65tG6J+ctl+6ud/v7MsZdTKr8uNX0yXks\n",
       "PQu4dI15F5fpfpxcrzGfrIHPpCeS/baqb2dy7n9GMtbc2U5Nz9fLOenySvu7uz7dV9LzVldeekZV\n",
       "6T1Od2+e5nU8Htt0jXnXB+n9VNeOqr6P1p5TWreuz9J1yPV/t/eka9qazw1c/5xOp4fPrp1uLVq2\n",
       "1c0p1049K072Du0f147JPUt6bfosbhmX6dlOx8eae6SLoRubanK21++6s2LHtUu5e541nwskz1Kq\n",
       "+vU5bacrK4l5+vxyOg+S5x/peu7i2KVrf7q1Ib3/Svt4KY1D8j7CSc8pk3OncntHNxbT5x9rjsX0\n",
       "/ZHL2/XB8pmje/6YPu+anP21Li4vF7dluluHJs91pib3JFXZ/p4+75jeZybS53qTstNncV3c+Atk\n",
       "AAAAAAAAAAAAAEBV8QIZAAAAAAAAAAAAAPCBF8gAAAAAAAAAAAAAgKriBTIAAAAAAAAAAAAA4AMv\n",
       "kAEAAAAAAAAAAAAAVcULZAAAAAAAAAAAAADAB14gAwAAAAAAAAAAAACqqmpzPB7v3QXb7TbK8H5v\n",
       "s+srs9m0n9Vut2vTb7fb0/m5emu6q9vLy/Pv5q/X62p5VVW9v79/meb6M+2DJL2r1zN56fcnY01j\n",
       "6vJydV/G1bVDx6VLT/tsSdvp8trv9226m3MJrXe61ixpzNI582/S+e36v6u7xn/tOdX1f9r3rp1u\n",
       "zl0ul//8240NFwcty42Pru763elesKxbujYo7SO3t3Rx1bJc2el+3fWZy0vHqRtLyd4/WYc+K6sr\n",
       "e+12unmwTE/XDjeWunQdO24tcenJ/u3qnY7z8/ncprs+TcpKz2Pd2E3PsG58aB+46ztal+S85dJc\n",
       "jF1ZOn6S85bSPnDzuduPj8fj09dW5Wf5rm7pfuskZ+bJ+emZ7yf1Ss+wyRnKtSM9Ey3PU6m0nen5\n",
       "u1ujXb11rE3aqXm5tT49j03OFunakZw70rVe6fe7ce7qnczPZ/Jbpk/vCzVuh8OhvV7X6KVv3761\n",
       "eav0GVXXp+5MpN91cVv2d3p2cybPeVIuLqprSzo/XVxOp9PT9Vh7nK91bZWPS1f39DnPmmMnnZ+T\n",
       "53aaPj1v6fcn93JrPrer+rVuk/vl6fVL6f2MO3doTLv83bjWfWcypzSv6X2hfr+LS9o/rmx3Xlt+\n",
       "313r+jNdc7u6p2fW5D5i+hxWTe4zk3dyVfn63rU1vWeZPItN144176fServ+7PaC/3vesgAAAAAA\n",
       "AAAAAAAA/l/FC2QAAAAAAAAAAAAAQFXxAhkAAAAAAAAAAAAA8IEXyAAAAAAAAAAAAACAquIFMgAA\n",
       "AAAAAAAAAADgw+b79+/37oKXl/4d8/v7+6oVSmw2m3/1+u6793sbtjZ9t9s9fHYxdOnaR13ZLq/9\n",
       "ft+mu7K78lzMUrfb7cu07Xbbflfr4urm8luOj8k4+x1dedo/rr8c/X5XdtoHTpefzilX9uVyadOT\n",
       "uqVrYDduq6pOp9PTeWm7lRuLSX+6vFzM0+uXfXC9XttrXbr2p+uzrq0u5kleWpfD4TDKK21nR8eh\n",
       "2xuSdlb1febqrWMn3beWtN6uf9O94r+5HyRniXT9dXl3+aX7TrrWdGW7dmrdzudze72Lw3Jcu7wm\n",
       "58jPdGuqttPtQ47WbbJ3aF1cu7s5mp7t1ryPSNdnNy+6/tSy1l5nJmdFbWdyfv7Msr/dXu9oWd18\n",
       "dvXS9El/6vfdOuPmr6an95FL6f2vo/lN1qJkHXJlaV7uPsGNRe3vrv/T/dX1QddOPS9Nn+Os+QxC\n",
       "Y+qud2fmZcyn41bb6c6d379//zJNx2myNnxG29aNTTeuNebTdW0pWevTvJXGIF3PVRKXtKzJWTBd\n",
       "Aydn+VQ6Z5Ky3b6xZh+4OZPe9yXp07z0PmSy3q/9HFfrsuZ95OQ5j3LtdmeB9B4nqYuLSzfndL11\n",
       "eaXPv7o56mK25hpZ9TiH3XPW9DlPuqd2aS4uro+WcVv7GcPkvlBjtvb7w8l+nN4vdXGbPltxZU3O\n",
       "RMkz/6q+LfwFMgAAAAAAAAAAAACgqniBDAAAAAAAAAAAAAD4wAtkAAAAAAAAAAAAAEBV8QIZAAAA\n",
       "AAAAAAAAAPCBF8gAAAAAAAAAAAAAgKqq2hyPx3t7wWbTZyDp7vr7/eviXl5e2s8pLasr+/39fbW8\n",
       "nN1u9/DZtdPVLeHK2m630fUuDsu6T8ZGVdXtdnv6+rQ/9/t9e732WUfrmVqzD9Kx5tI1v65PXRzS\n",
       "cd31geblxporO82vo3FwZXdlJePQ5fVMXZJr14xZ1WNbXV46Z1S6XndjV9eKdK1Ry7Yl6+kz6S6/\n",
       "Ll1jkK4NrqxkPqv0rNC1U8fWdD/W8dHl58pa83yl33fXXq/XKO9k33MxdPNZ07v8XF6Xy+Xhs+sT\n",
       "vV4t4+Cudelad9f/XR9ou1xe07PC0trrVld3TXP976y5r6X3EV2M07NdWlZyrzaV3Ge6dSbdQ7t9\n",
       "aBrT1HKsTuZ6VV63rjzNy5Wdri3J/uzqtuZZ3XEx1vX9dDr9dl7pOpbcH0/HUjLWpvtOev2yvPRc\n",
       "oXStOB6P7fXdc4XknFjl+0jPa931eq1K59Cy/9Nnhi7dPZtJxsvaa2ZXN1eWpk/qlj4zctZ8LqAx\n",
       "mjyTSJ8Zpc87k3OlSp6NVc2fEy6la8dkrKVjy601Sd3S+Tm5h9Gxlt7DuPTk2YtKn390Z9z0fsmt\n",
       "x2rSTjV9/rE8j/38+bO9ds33LlVV5/P5y7T0vjA5C07PW+nz665uOg5dXu75iPq/5d5c6+HWwHRd\n",
       "m9x3pjHq+oi/QAYAAAAAAAAAAAAAVBUvkAEAAAAAAAAAAAAAH3iBDAAAAAAAAAAAAACoKl4gAwAA\n",
       "AAAAAAAAAAA+8AIZAAAAAAAAAAAAAFBVVZvtdntvL9hs2gz2+/3D5+122xfY5He/P1bl5aV/v/3+\n",
       "/t6mu/yfrVdV1fV6ffjs6tblpzHq6vU76V0fuJi5dqWW5U37U7+vfbLkxqGO2zX7wJWdjtsJHYeu\n",
       "D1z6brd7+KxxXHIxO5/PD58nY1PL0nqqrt6f5efa0tF2ufHRlXW5XKKyXb3TunVut9vDZ7emurKW\n",
       "6ZN6Vf06diZjLV2/XVkat46LqZbVrZEuv6ReVVWHw6FN15h2ZbuY6XddXDpaVjrHlLazW2tcvXUd\n",
       "S/u/S3drvY4dF5c197Xj8dimJ+tBeiZ189nNqWW6i5nugWqy7ziu/6dr7pKLWVp2l67tcjFMz0Td\n",
       "HHTtTM+dnbR/0jNucg/j8prsQ5ru2uHmnPZnd1ZMx4arm9tTl3F166krK90Tu+vT+8I194L0rDbp\n",
       "Ay3LnWncfYQ6nU6/lVaVn1OSdibz7zPJ2pHm5ST3Ge7atL/X3EPdPWt6n9Fd7+bU29tbdP2a5zGN\n",
       "8ZpryXScJ3VZe31O5vPa98vdOE/3hsm9WlqWu37NdSu9J3Xr9zLd5eXOFTo+3L6VjJ/p/VKy3q99\n",
       "DknWyPSZhNKYdn2W9qeTPM+a3Hs9kz6RPlPu0t15y83PZO2o6vts7XcCy/ymz2GT9y6uvHSNXHO9\n",
       "X/M5bFrW9N2Xxjx5j6rS/uzy4y+QAQAAAAAAAAAAAABVxQtkAAAAAAAAAAAAAMAHXiADAAAAAAAA\n",
       "AAAAAKqKF8gAAAAAAAAAAAAAgA+8QAYAAAAAAAAAAAAAVBUvkAEAAAAAAAAAAAAAH3iBDAAAAAAA\n",
       "AAAAAACoKl4gAwAAAAAAAAAAAAA+7F5eZu+Qt9vtw+fNZtNe//7+/mXa/X6PynZ1T/Jz9Xbp6na7\n",
       "fZmm9dIYppI+3O12UV5dO6p8jJdxu16vpnY97YOuT7pxVlV1Pp8fPrt2JDGezimtSxJjlzatm8a1\n",
       "61PXByqdY0v7/T7Ky9VN52Q3D7Rspf3n5kFX99fX1zZv5dqp6ZO1aDq/1bJtbh06Ho9tuvu+6vpA\n",
       "83J5u/RlH7j1eTJHPpPsU65ubixqWdO1KNHV7XK5PHx2cyDto66dbu1I9ryqbD1w41LLcnOsW2vS\n",
       "vSCtWxcX7V/HjUvX/8vyXH+4sZauqd316VkgLbvrg/R85eLSpafnp/Qs0JXt5nNadiddP9M9sJOe\n",
       "K1zZrr+Tezk9IymtW9eWtfdb12fLOE3Hrc5fF+OubrrmTebnZ2Wt+VzA9ZkbH0leaRy6trg5ov3p\n",
       "9uNu/dayXDvTM243ltYcG1V+fBwOh0///ZlpWapr67dv36K8nNPp9PBZn3EsuXbqeEjWovQZU1o3\n",
       "lazR7tr/5j1Jerbv0nWcTZ4xpNz5Wsty/duNnzWfjX2W3pXt1kAdO9OxtuzTdN1Rei5Nz6lL2q7p\n",
       "2U6/37U1XZ9d3Lp0nUPTsZbUzc3f9H4pWdfc2EjvG9dcU6f78zJO0/v8VDdP0nvz5J7VjUs31tLn\n",
       "gEl/T9c1NXkGna5ryTq19n7clZ3cYz5Tdpcff4EMAAAAAAAAAAAAAKgqXiADAAAAAAAAAAAAAD7w\n",
       "AhkAAAAAAAAAAAAAUFW8QAYAAAAAAAAAAAAAfNi8vr6OfsVaf4B58gPb6Q+Jux+51h+ydj88nnA/\n",
       "/t2Vpe2a/li71mXyA9vLH193eVX5mC771F275g+qu3ZqurZbubGW5OV+UF3Lcm2Zjp8kL61L16eu\n",
       "P5O8XPp+v2/zVq6PNL3rf9fO9Efru7ppu9xYSudcV/ba/enikKzXrj/dePg3rdnOdA9zZXfzXceW\n",
       "G2uO1r3rM1dv5fq/y0/n5ySvZ9KTsrR/3D6UlH25XKKyJ9I1MM1vMpY0PT1Xdunp3uDSJ3tkMv+e\n",
       "cTqdHj53a2y6/up+rrq6a5obx+n46K6f3P98phs/OjamZ4E0bh1dW9w8cOnLukzmQNWv7ez6Mz3z\n",
       "uP5N6j7dZ9L7366/17w3q/p1fif7s1qzbmnM0vnczVG3H5/P54fP/w97f7YdSXK0CbbqgAOITP71\n",
       "/m9aZGDsGxwegyRCxL9QY1Y1e+8rYqm5DqKzGXNFOja73+6eedL3Bokz7zhPT0/ts1P6mftYnW+7\n",
       "a2S1c16vv51ifJyjj4+P7bPT3l7L2jmPpe8FJsl7oN2zX6LOz2k+p+taF7ez3+sl75R23/Mk76/T\n",
       "dkxr5tT/yfyd2pnWPXlPv7MPrfXXfa2LS/r+YzrDdnWvZU39MaUn5+upnbWsqQ+68VH3vGn9Tvug\n",
       "i0v6jnCaM/VOWh3jMM3PqT9rWTtnnnSvnup+nHPTs3X+VXWc7qw16dhJx0fy7ryq9d5Zv8/uz+Sb\n",
       "UPrddOc9vf8CGQAAAAAAAIC1lg/IAAAAAAAAAHzyARkAAAAAAACAtZYPyAAAAAAAAAB88gEZAAAA\n",
       "AAAAgLXWWpc//vjjo3vg9fW1zeDt7e3L39frtS/wcvll2t3d1+/Z9/f3bV4fH23V/1K3h4eH386r\n",
       "tqvmXb28vLTpXd5Vjcuka+f7+3v729rfz8/P7fNT3Y79PfXnVLc6dtK4dHl1MVtr7qNjnKaYTaY4\n",
       "VF1ca1o3/27x+Ph4an5HabuP0rEw1bvGrZvvyRy4Rbfm1rKmvNM1suuDaf5WU91263709PQU5TWt\n",
       "3918rzGa8pracYzDtA5NY63uO1PZybyZ2pn2Z5fftBbU9HQ+H9W+nsqeYlbL2tmn0rym/j6uLel6\n",
       "e+ZY2onJd7qxNK1bdeykY686xmk6B05zqqZP5/FuHqTr99TftW1dn6Z75M7Zv87nP//8Myo7Tb+1\n",
       "Xmv9dewke0OVngWScftd/kfTuE33yKm/j3XZvUck+9A0btM+SPbI3X0oLbuLQ3qnmeqW3COmNS/t\n",
       "g65ude3YmZ9r/bUPu7b885//bPOq9Z76pBs/O3et7yR9kN6HprVjkpyv03Pkzt2vjrXds10tqys7\n",
       "PePsjLUqXVPTc8tReq5I50VyV6/OvHfUtHR/rpKYpzHdOackY3yt/P3HzlirfZCeQ6rj73fPdvX3\n",
       "U9lderrfTpIz8XQWSM6wU1k1LR1Lu3XrpGtH10e1XtMeWc9uk67P0nG9e2459tHuN5wz63Z2O49j\n",
       "a8orfa+3M6fq+jqtt1PdpvXg1np9V5f0vVFn9x1x+v66U8fDzjrkv0AGAAAAAAAAYK3lAzIAAAAA\n",
       "AAAAn3xABgAAAAAAAGCt5QMyAAAAAAAAAJ98QAYAAAAAAABgrbXW5fHx8aN74O6u/8Z8uVxOq0wt\n",
       "azfvj4+vTevye39/b/Oqv615V/f3979Me3t7i/Ka4nC9Xr/83bVlaufU39VUtyS/qW41bl2M03E7\n",
       "PZ+04+fPn1HZU/pUdo1L99spxg8PD216jfnOHK2/nfLq6l7bubtu1fSu7Cmv19fXL3+nMe7q0fX9\n",
       "WnMcXl5evvxd65rkleraWdU1rkrn75Rf5/n5+cvf6bpVHcfPVK+0rHRfO6r70rRPTX1Q+3vKr1N/\n",
       "243btfo+qPWa+iBdp7q4THMgXdeSmE5lJ/NzrT7Gdc5M0rHUPZ/uUVMMp/Rj/0/PTnGp63P9O6lb\n",
       "eu6c1o46T7r80rVj6v9ujv7xxx83P7tWfobt5kWa1xTjZD5PYyldb7t2TuOwtmt37zim7+xp3/2+\n",
       "ez49R+7WLTH1QS1rWs+T+/E0p378+NGmT/v1rfVaK7vnrzWfx7q8q6m/k+fTM8xUdpdferY7+87a\n",
       "Sc+JSfoUs/Q8NpXdzZN6D9w92yXvz6b+rGtLcn6b1oY0xjvn1HTPm56vc6pbg6d61/6f4tal13pN\n",
       "a1y6bnVxmepdf7vzDjJ9DzutqbUuXZ+l7Zwk8yDtr+rMPkjPdlN6sh+n9U7fzXVl7a5rO+87Jjtn\n",
       "gdqu3XGenK8ndWxM+1ByXp/Oz8kZ9Zbnu/T0rJ7MuZ1z/3dlTWMteVeenisnO2eeM+8RdWzt3vuS\n",
       "9wbpuN05+/svkAEAAAAAAABYa/mADAAAAAAAAMAnH5ABAAAAAAAAWGv5gAwAAAAAAADAJx+QAQAA\n",
       "AAAAAFhrrXX5888/P7oHPj7a5PX29vbl77u7/pv05XL5ZVr9bffsLXWr6d3z1+s1yuv9/b19fko/\n",
       "mmKW/r7Lbyqr1ntqx+vr6811m2J8f3/fptexVv8+msZGrcs01qb0M9WY7syDtJ1THz08PLTpt9Zr\n",
       "rb+OraluLy8vv0yr43oaS5Nat27eTGXVdp05lro5cEtZNb3rs2Su32J33Tua4lD7aKcP/pN7QTqW\n",
       "prJ21o40RtN8n8ZPUnYta2dvqXlN43JKT+qWxniK4ePj4815TXMmPQt0+Z0519f6a9yS/q3OPnce\n",
       "47ATs+9+3+2Ba/Xjo+Y1lT3NqWpnLan9N62DXd3qGWVqxzRnknvEFNP0+W781Jgm+8yuaQ7U/pvW\n",
       "rWlcH/Pb3SNrzHfWjvRsl5yJd/ehaorbVLej3bGW3ksSU926OKT1SOPQlT3l9fz8/OXvf/7zn+3z\n",
       "XX51vk3rUDoWu7GUjtvdsXFs6+79tzrzvcGPHz/a9OnufebdvI61pJ27MantmOZFN57qb9N3EpMz\n",
       "37Wlz3e/nfbb9L3Bztku3SOTOZPsWbf8/sx9aKc/18reYe2+B0qeT+dUXUumsnb6tMYhXc+7eqTv\n",
       "lKvkvJ6+U0rPqUe13k9PT21e07hM17XOz58/v/w93ROS9XuK2b/+9a/o91PZyRqavrPoytpdZ9J2\n",
       "dvnV+bm7FyTfH9P3dtOampxxd99/JWtReobZOV/5L5ABAAAAAAAAWGv5gAwAAAAAAADAJx+QAQAA\n",
       "AAAAAFhr+YAMAAAAAAAAwCcfkAEAAAAAAABYa/mADAAAAAAAAMAnH5ABAAAAAAAAWGutdXl4ePjY\n",
       "yeD+/v5rhpdL+/zHx6+Lm36bPp/kd3fXf0uv9X57e2uf79LTmE1qfl2Mu7Tv6jI9P6Vfr9d//+9a\n",
       "z+rl5SWqWxe3qT/f39+//D21Y8rvmD49O42d19fXL39PcUvGz/Tsw8ND9Psuv6md9bfpHOzSpv6c\n",
       "JPlNMa3t2pnvx/k01esWye+Tub7WX+dYNcXhOO6nvKY5Uus2jc2uvDo/d+t2/P3OHLilLlUXh1qX\n",
       "ZA38TrLmnrm3T8+ne8G0RtY47MzRaexUyT62u3YkZdeYTO2a5mcta+csUPOa5lBy9pvyms48taxp\n",
       "3HflpWfY9EzU9Wk61qbx0aXXtf7x8bHNK9mHJlM7696Rnse7eu3uHcmZJx3XU92Se+PZ94h0jf1V\n",
       "vdaa25nYqdd3pv7/+fPnL9Nqu56entq8pvHxn9wjzzwj7Z5Dal121sha766/1lrrn//85y/Tnp+f\n",
       "o7JT3TxIzsO7Za31tY+mvKf0urfUv6fnj2oc0nNllaxrdR+q6tkgucud/Y5hZ01N2zH1ZzI20719\n",
       "ilu3ryXrzC1lVV0fnH0n7cbmme+bv9Plt/uOMHXML32XVtU+2L3jHJ3d7i7O6Xub3XcW/0ndWjPV\n",
       "q64FO2fF9I6Z2vkeceb9d62va0u6Lk1lpXf5o9rfu/vQMa67Z7v0m1AneW9zS3rVzYP07Df1QbJO\n",
       "pd8Iqvr75CyQplftuI1yAgAAAAAAAOC/lg/IAAAAAAAAAKy1fEAGAAAAAAAA4JMPyAAAAAAAAACs\n",
       "tXxABgAAAAAAAODT5cePHx/dA+/v720GNf3+/r59/u7u19+sr9dr+9up7Kmsj49fN/Xt7a3N63K5\n",
       "3F6xwVTvaopLbWeXfxeDtf7azqndXX/W9KndU91qehrHzhTjh4eHm/NK58yUno7zozofp/5Kx3n3\n",
       "fBKztfbjdrTbzmSsTeO21mWqWzcWa71fX1/bvNK6dev3y8tLm1eN0e7acaz7lFfan9PzT09PbfrR\n",
       "1AfJ/J3qNe1Ttaypzzq1LtMaOY21qe5H09ioeaVrzVF6hpkkc2pqZ7V7Tjm2NR0byV4/pU1jKd3z\n",
       "uuendibjciprra/zYFobpvTan1MfdHWraeneUNU+7MbeFLO0nV1ZNW1ay9O1o4vblFf97fPzc/t8\n",
       "Nzan/qumtaGuUzvrYHqGnebgcayle321sydWtd5n3pd218hat531u7ZrivE0dpJ75lRWXUPTe2Rn\n",
       "6s+pj5J2TuOypk/9360t6V06PXfunHlqjNK9o0tP339U9fdT/yd3ud21o5a1876rzqkkxjvvAL8r\n",
       "KznTTmVN/TXFpca0a+vZZ57E7p20xqmrW3qOnMru1sGde953kjNxOq6ncTut98f1exob6Vlt6oNu\n",
       "/Jx5Vv8ufecekb6D6sZTXQvOfL+xVt9n6dlvGktnvoOY1Py6sTTdf85eI499tHvmScdHl37me/fq\n",
       "7LPdJPkmsPtNKPnGl579pjW1i1t6/03X764taUx37tP+C2QAAAAAAAAA1lo+IAMAAAAAAADwyQdk\n",
       "AAAAAAAAANZaPiADAAAAAAAA8MkHZAAAAAAAAADWWmtdHh8fP7oH3t/f2ww+Pr7+/Hq9ts936bWs\n",
       "u7v++/aUfrlc2vyP7u/v27ze3t6+/F3bPT1/9PDw8OXvWs/U6+vrzfmlZU3tnNKPfTTFOB1rnamd\n",
       "NWbTWJrqPo37RG3n1JYuLml/p3FI5nOVzqkuv1rv3f6sdenKTsbllNdafd3SdtZxPunWrUmNwxTj\n",
       "ZP2eYpyWtTOnaoym/pwc59DOvvLd76e6deOjxqzuW6ka85eXl18+m+wra+3tLTWvtOyqtrN7fhqH\n",
       "ad2m/I5xOHvd6vKrYyeN4ZS+MwfrnHp+fo7Kro7jevdMk/ZRF9d0bZjmakofAwAAIABJREFU1JT/\n",
       "rWnflTWdp7q6pefr3bF4lPbnzrky3dunuiX3iHRc7/ZBMr+nmNa6dHFM631mO3bOw2c835niko7r\n",
       "rm5pvR8fH6Pnj+peMPXnpMYhOYdU6T7Vna/qb3f3oaSPpnXr7PNY0ofpuWMaa8l+vHu+TqT3jG4s\n",
       "rfW1/3/8+NE+e+Z7u0l675vGZrp/d2pd0v15J69prCXtSs926RzrytqJ2XdldWNtqnf6DnC37kfp\n",
       "GpiO8x1T3WpZXd3S93bT+tyVlb4LS9vZmfqnxmGqa5deY5TGOCkrlbxLWWveK475TXva1Ae1nVO7\n",
       "k7PA7jehM6X7b/IeYPd8nex7Uztq+s7efva7tZq+Mz5OPV/99i8BAAAAAAAA+K/iAzIAAAAAAAAA\n",
       "ay0fkAEAAAAAAAD45AMyAAAAAAAAAGstH5ABAAAAAAAA+HT58ePHR/fA8/Nzm8HHx9efPzw8tM8/\n",
       "Pj7+Mu39/b39bXW9XqP0Lv/ajurt7a39u7pcLm360f39fZt+d9d/56/pU1uSvKY+mcbHmWrduhhP\n",
       "Mai/nfpgcsxvilnanztqO6e4TGXXOHVxS+fI6+tr+3xX9zrXp3ZO/V3H9c6cqnXr1sCprBrTqV7T\n",
       "Gln7oOv/l5eXNq+aPvX/tFcc+2jqr6enpza9zsmpbl1c6zid8prm1LGPpn1jWltq+vR8V16Nebqm\n",
       "TnXr4pbOt535Xus9tWPq72SNnNSYTXlNa+jx99O4rGVP8zXZj5Pz0S35df0/xSxdU6f8/vf//t//\n",
       "/t/TmjmVVdOn/DrpOTHto26tSc88yZpZ1f116q/0TNS1c4pZzWtaS7r0Wo+p7N17xlG6Pk/jNil7\n",
       "ejaNQ9eWnXPfd6a6H/s7vQ/v6uJW67J7j0juJenasbO31N9OfZC+N+jacvbZrls76nxM21El/Znu\n",
       "O1P/J/ml99uq7jvT891dL80r3Su6NffssXbsg7Pfb0zzuTvz7r7Xmepy5v4wtXNnjdzVnbfSM+xO\n",
       "n6TxTs9+O++Iq907TtKn6TvHdP53zj4jdWVPa+D0vqua7stHUzunmKXvU5K8dvbIWu/d9TuZU+k5\n",
       "cerfZI/817/+1T47Sb8JJXHYfQ94zG+q1yR9b9CdO+q43W1nspek70KnuiXr+9l3uZ1vXzU9uZNW\n",
       "/gtkAAAAAAAAANZaPiADAAAAAAAA8MkHZAAAAAAAAADWWj4gAwAAAAAAAPDJB2QAAAAAAAAA1lo+\n",
       "IAMAAAAAAADwyQdkAAAAAAAAANZaa12enp4+djJ4f3//8vfdXf9N+uPj18XV314ulzav6/U61O6r\n",
       "WtdErduUV5deYzDF7P7+vk2vcfo72zn10evr681lPz4+3vzsVHY6Dqd2Tn2QtPPt7a1Nr+2aYtzV\n",
       "raZNcdmZv2leNQ5T3l0fPTw8fPl7d1zWunT5pXNkGkudp6enm+u1VtZfk6mdz8/PUdlTHI7r+/Rs\n",
       "GtOpbi8vLzfnNfVBUpfd9bbLO02f1qlqqltN3xmb6Zzq2nL2XlDPJWfOwSnG05p7/H26D6Xt7uys\n",
       "9akpJrWsae5PdT/uLT9//myfnfpgqvuOKcZTO2vduv5Pz7jTWbDL78w7yXfpXdymOZL2Z7IG746V\n",
       "ZA+dzk+13rtr6rEP0nWrqnE6c32enHl+Ttb6WyTP7555kvU9PVckd7GqrmG77axjtcsvPctPY6me\n",
       "x7t67bzPWOuvdU/fzXR5TfM92cd29pXvyto5E9W67N5Za9268TGNnZ13Srv9lbRjrT5u6fuPSbIe\n",
       "THGo7dq54/4nz4lrZe9tq3Rt6OKWjssz78vpOWH3zHOMa/q+arKzr6X35fQe0eWXvgvdOdul++10\n",
       "b6x1T+4wU16Tbk7VmNV3qWnZNb2Ly9TOGqN0f66O8ygteyrrX//6V/t8sobuvh855jf1Vzp/d/bj\n",
       "6uy7eZdfug7tqPNtmlNpf3fPp/25027/BTIAAAAAAAAAay0fkAEAAAAAAAD45AMyAAAAAAAAAGst\n",
       "H5ABAAAAAAAA+OQDMgAAAAAAAABrrbUuP378+Oge+Phok9f7+/uXv+/u+m/S1+v1l2n39/ftb6vX\n",
       "19eorMvl8stn397eorJru6uurJo25TXFtMati+MUs5re9dda8/g4U41TV/Y0lmofTDGeHOuy25+1\n",
       "bi8vL+3zXZ8+Pj62f6eSOZrOkWksJXNqms9dXmv9NeZJ2ZOpnQ8PD79Mq/Hvnl1rrlutS1e3qT/T\n",
       "NXRaW45tnebMlF7nyFTXLr2m7dbtKB1LVe2jM/epae5Pe0sdW11cpnpXU926cV3Tpjk1zd/arp21\n",
       "Iz1fpfteJ1kbpvSaNtVjakeNS5dfOi6ndk75Hes29dc0ztN50D2frs+T2rb0/H5U+2+ag1162p9p\n",
       "H3TtTNeh5+fn9vkkprtn2Pr7Li47+8otZVfHs8KU9zQ/6++759O1fnp+moNJH05l1fPVzlpTx+Hu\n",
       "ve/s/I6m8XHmWX6S7N/T3Sx9b9CN658/f375+1//+tdv5/VdXbo4TmO8joWpndPYSdbQqQ/qnErv\n",
       "8l29ds6wa/11benilp47J2fecepY21nva0x22137aOd9SnomTvLaPfMkY/Ps9x/Jb3fftdVz5Jn7\n",
       "0M55eK2vdZnaMZ0r6hxJ1+AubSo7XUt2vhGkZXV1n967VtM8OHONPPP9dTrm03cMyViq0r0gOROl\n",
       "7wWqZL9N7b43OP5+N6/azum9bddH6Z63u48l0n0seZ+yuzak73U7df7urN/+C2QAAAAAAAAA1lo+\n",
       "IAMAAAAAAADwyQdkAAAAAAAAANZaPiADAAAAAAAA8MkHZAAAAAAAAADWWmtd/vjjj4/ugbe3tzaD\n",
       "6/X65e+7u/6b9MfHr4ubykryWmuth4eHm/O6XC5t+vv7e/v3jilm9/f3bfpU96M0xpOk7N28apy6\n",
       "Ppj6p5ZVx/GOaVym6dPznRqzqZ3TWJvG6tFU79pHr6+vv112Uq9bJDGf6l2l4/yo9t/UX1N6bWc3\n",
       "b9J2TjFMxuLUvy8vL216bVcaly6vqZ1TWUe747iu71OfdWOxpu2u9cm6lq7fU926PqjnhGmPTPpz\n",
       "rb5Pp3ame0Fy/pqeTc843fM1ZuneUCVjcWf//J2yj+Xtlp3ukV3cal1215oah8fHx5vLnkx1S9at\n",
       "nbzW+us+1bVl9+xXdXVL9u7fKWtnfU7ne7J+T/2ZnhW69Txdp5K1YTI9e/a5s8uv/nbaI9O7eddn\n",
       "Z99Zu7LqWEjfC0ySPbKq9d6ZBzWm0/n5+fm5TU/ej5y9H091P8Zhd36m9+muD56enqK80rWomzdn\n",
       "ry3HvX93bUjHeSe9J6RjsxvnaVk7a026305qzLs+TdetqW7dfE7PsOkdJ73b7eQ1pR/X3LPvEcma\n",
       "WaVzKk3v2pqe5ae1qJtTyfvmteaY1v4+c6xNMU7uZrvveZIz0dnz8+fPn236cU7tvmNI3wMmZ6Iz\n",
       "zyln73k730pqf0/njJ33l6k0rzO/AU7j+szvj+ke2q6Rv10LAAAAAAAAAP6r+IAMAAAAAAAAwFrL\n",
       "B2QAAAAAAAAAPvmADAAAAAAAAMBaywdkAAAAAAAAAD5dfvz48dE98PHRJq/L5dL+PT2f/La6u8u+\n",
       "f7+/v/8y7e3tLSprKruLW23n/f19m9eU/vLy8ttl75ryO8Z8illat66d07it6elYqo51n8pO8rpF\n",
       "V/c6dnb7v/5+p6113E590KWn/TnFoa4HXTun+Vnr8vr6+tt1e3x8/PL3tG5Naru6tqQx7dbbW9KP\n",
       "+U3Ppn0wjduuj2pdprg8PDy06cf8pnZO/V3jsNsHiWQvWCubz1NZU4y78VHLSveOqaxuLE1jp+a1\n",
       "u08dx880ls5cU2tZ01hJ29nll+5RO2fYWt40v9JxPj3f9Wl6Vp/UPrperzeXXdU4Te1M1q2p7Gnv\n",
       "SKT3iDPL3tnTvqtLF7d6dqvS+T45xi1df7u8bnm+U9s59X8ybpPz0Xdqu3biVmM29X+6TnXPn7kX\n",
       "/Cd/e0t+Z+a/896g9t/uubOuLTvvIOpvn5+f2+cnxzjsvLf5Lr3b89Za6+np6Zdp6d6ejp3kPFbV\n",
       "/pzGxzEOaf9Odu7L072gOvt+1al128mr1msal+n63cV4WofS+1U3R9P3HWee/aa1I+2/5Kyw+06x\n",
       "yztNrzHdeW/3nW5spuvztHZ08ySd61N/1rK6sqeY1bKS9XkqK72rTelnngWm+TrV7XiWmMbGdO6o\n",
       "fTCtuck7irPXmk66tkx90LUzfXea3iO6uJz5vXCtvm51b5/OIdNYrO3s1sj0Pd3O+y7/BTIAAAAA\n",
       "AAAAay0fkAEAAAAAAAD45AMyAAAAAAAAAGstH5ABAAAAAAAA+HT58eNH+69UT//AcjX9Q/LdP8B9\n",
       "9j/mXf8x6e4flz7zH4Zfa/iHp0/+R+uT/NJ6T//4d/ePedfypn8oPP3HvLv+PLudydjc+cfX07Km\n",
       "5+scuV6vbV5TH9T53T2/G4eqKysZG2vNcahjtRu7U1k1fWp3UtbUjqlutS7JujWZ5vvkWLep7Gms\n",
       "1XE7Pd/tLemeODm28+z5OfVBF4ez18iaX9eW6RyR7qHJ2J36YDp3VF1b0r1gev7MfSwtu0tP1/p0\n",
       "/T7zbDeNpTPPAtNYq+lT2d1YS+bfWvM4r2tL19Z075ji1qkxSsuuapy6uEz1rjF7fn5un+/Kqu1K\n",
       "16WqtrNry87953eeT+bcmWWnZ7XduBxj/vT01D47jes0Dl3d6zid2pmeO9P9oStr5z6drh1/5/m6\n",
       "1ns6IyXtnPJKy9q5F549p45noimv5H3GWvOa2+3v9be7Z9jpLHGUniOSObW7lqdxSd5/PD4+tnml\n",
       "82DnfWbtz2nsdf1f67F7Fqh16e6R07hL15pkjZzut2feI9L3GVMf7JxxU1PMq65u6fxM71879+Uz\n",
       "19Rk714r3yOTdatKz/7JPWJy5vvpyc+fP7/8vXuXO/bBNJ+n/qxr5O74ODrzzro7P89831nzmsbG\n",
       "31m39E5y5vqd9tHO+EjXtY7/AhkAAAAAAACAtZYPyAAAAAAAAAB88gEZAAAAAAAAgLWWD8gAAAAA\n",
       "AAAAfPIBGQAAAAAAAIC1lg/IAAAAAAAAAHzyARkAAAAAAACAtZYPyAAAAAAAAAB8uvz5558f3QPv\n",
       "7+9ZhpdLm97l9/HxtSr39/dR2VN+U9066W/v7n79bb7mNcU4jUOXX9qOGsOqa+ctv//dZ6fn03o9\n",
       "PDy0z099dMxvivFUVlr229vbL9NeX1+//H29Xtu8prE2xfXWeqV5Tc/Xdk1lpzHdGWt1PEwx7tJr\n",
       "PaZ2pvN3Z82tMU33jupY96kddZxXtZ3THOzym8raMa0dU/o0v5P80n0q3Vu6sZvuiVN/nrkfT2Mx\n",
       "iUO6501rzTQ2d+bk1K6dNTJ9vo7znbNdum5Na+SxLlM70rhM46VLP3s+J+frqZ21Ljtnh1qvdI5V\n",
       "tW5dO9OxM42lLg61HlOMp7LSs0UnXWemfeuY39SfLy8vUVldXKY5UNfb9Pn/pNoHO+fOur9OY2Nq\n",
       "Z3K+nsZGHfc7+1RNm8ZxelZI3n9UdVzv7C27a2JVY57cSata73Tv6OyMje/qsnte7/LeTe+eT++/\n",
       "03w/tnPnLLbWX9eanTPrmefEtf4a0zPfC6Rr5lFdu5+entq8JrWsbk+d+qfGYdqfk71gdx2rcdtZ\n",
       "M2t6us6l6UfTHlnrMvVBcpZP7zDV2XvR0c73iDSvVJffFJM6P3fe29V6TO1Mx203D6Z2pnfzJD3Z\n",
       "024x9UFXt5q2OyeObZva8fj42KbXukxrx631Wmtet9Lx0Un7c+c94O6776rOqZ1vfGe+c/JfIAMA\n",
       "AAAAAACw1vIBGQAAAAAAAIBPPiADAAAAAAAAsNbyARkAAAAAAACATz4gAwAAAAAAALDWWuvy48eP\n",
       "j+6Bj482eV0uly9/v7+/t8/f3f36m3XNq/6d5PXd79/e3n757FTvmldadpeWxnhKv7+/b5/v1Lrs\n",
       "9Od3+e2oddnJu9Z7ascU02Pdzmxzzfs7Z5Y35TXFKXm2xvTMduyOy2nOJXldr9cvfycxrOoatrtG\n",
       "1rp1Y21qZ/3tVLdpXCdlT+1MY/76+nras8n6Pa0zaTu6Pe+W9MTUnzU9OQtUdTzszIOaNvVBOha7\n",
       "5+v8m8qayk76exq3tR078zndb1Nd3dKzWnreqpJ9LN0jd86d1Zl74Fp7a0kdOy8vL9HzXdo0n9P+\n",
       "7to5zef0HtGp/Tflle4FXYyndla7Z9hkj5zqltyPpjWyjtPkTPOdYxzOXiOndndtTdeCqe61rG5s\n",
       "7t7NqqQtu/1Z29WN87P3qS6m6V0rOQ+vlZ0Fqlq3nfcZNb90HE921tx0bD08PGzV5WjaX9O95fh8\n",
       "ek+s6vq9cydKzuJTXt/pxlN6tp90z6fvFNP5vLMXnXm+rvWYzjTpGbd7/sy81jp/f09Mc7CLa03b\n",
       "vZPUda3LLz3D7oy1mpbOmWr3LNHZWSPT97BTWbUPuj77+fNnm9eZ96W1vvbh2e/Vz3wvkL5L6+oy\n",
       "7UNpHHbWtfR7YbrmnrlP7bzPqPVOz1tTencWTPPa+cbnv0AGAAAAAAAAYK3lAzIAAAAAAAAAn3xA\n",
       "BgAAAAAAAGCt5QMyAAAAAAAAAJ98QAYAAAAAAABgrbXW5enp6aN94HLpMxjSq4+PXxd3d3fX/l29\n",
       "v7+36bVuXV3Tdry+vkZld2lTO7uYrbXW29tbm35rvdZa6/7+/tSyHx4ebi57yqv2905/1nbWv6fn\n",
       "u7pNY2NSYz6V/fz8/Mu06bfVsb++U/ug67Op7GncT2Uf1f6exm1admdqZ63bNM7TtWhHsuam83da\n",
       "n6c4HOO6O5aSNXJS85ricr1eTyt7kq4d3Tw5exzWdaobH+n8nfq/S69pU9mTM/fjWpepbtOcm9K7\n",
       "sqbfJnvNtM+ka2q6zx2l7Zz6LNlb0jmWxuXo5eUlKivdI3fWknSP7M486fxNY9rlP5V9dn8neZ9Z\n",
       "t5359p2pv49jcbed/8n1ecp7moNJO6f5md5xkr1haufUB7t3pM7feRZI99uu7Kms9CyQrFPTuDzz\n",
       "DJvGdHe+J+N6amd6z+zUsZDU85b8uvmerpFT3Y75TTFM72o7d/X0njCp59ads0C1s27VmE9zZprv\n",
       "Nb0bS2e/O008Pj626Wfer9J1Jn2fWSXvP1I7Z6Sa9nfWLXlntNbeN4R0H5rGYq17187dO2jV9VG6\n",
       "Rk59UOd3eu/sTHtLcibaPTek7wG79HSsTX1wTJ/etUzSO86Z7w2nspJz6dlz6sx3p8n5aip7kr5r\n",
       "6fgvkAEAAAAAAABYa/mADAAAAAAAAMAnH5ABAAAAAAAAWGv5gAwAAAAAAADAJx+QAQAAAAAAAFhr\n",
       "rXX5xz/+8dE98PHRJv/F+/t7m3539+tv1vW3U14PDw9RWZfLpX2+8/r6+uXvKS5dWdfr9bfr8Z3n\n",
       "5+eby+7iv9Zf23V/fx89Xx3rUmOY5lXrPtUtyWsaG0mfTe18e3tr09O6dXGreU1lT31QY97FZSqr\n",
       "titda7p6nTlup+envGqMprh046fmNc3nSW1nl980Dmu7dtbbtb7GdXfc1vRpb0n6e+qDKQ7H9J19\n",
       "Za2/jo/p+W6epDGb+mjK/2haQ2u7pvmetHNnHVprjtPRFLOanq7P1fH307O1HdPz3ViraWeuDWut\n",
       "9fj4+Mtn07m+u9Yc2zaVnZ5hdtb7GqOz+6CL2xSzZM5M+dV7QZr3VFYXt6k/a4x26pauU+lY6+o2\n",
       "jcNaVrqep+UdnX1n7STnp7XmteVYlzPPFWvNd5gubum4Tdo5ld2t7d/9dopbcsadxu3Ly0ubXnV9\n",
       "kO5Tu+eUpOx0LO7czdP5ONXt2IdTf+7cC77TxaGOhansNL0re3p3Vts5jfNj2dO6NLWjxmWqayJd\n",
       "M3fyS9ehnfc89bdp/1Z1/d4526XrczdH0zvJtOfVunRjM31vl77/qo5x2z1XnLlXpHe5qQ9qzLu2\n",
       "nL03JO/p0/fTVXImru/0p7J25ntyFrslPXkPlL6D2N2fk/P1JFkja9lV3V9359Sxbbv9deb5upa1\n",
       "+y0sWYvOvJPckn5rvX7n9zvr+alnnN+uBQAAAAAAAAD/VXxABgAAAAAAAGCt5QMyAAAAAAAAAJ98\n",
       "QAYAAAAAAABgreUDMgAAAAAAAACffEAGAAAAAAAAYK3lAzIAAAAAAAAAny5//vnnR/fAx0ebvN7f\n",
       "379meLns1+rT3V3/ffvt7a1Nv7+/j/JL8qrt3rEbs/r7l5eX0/KaYjbV/dhHZ46NyVRWbdfUzqS/\n",
       "pzkzpe+M08k0Z67Xa5TexXkqq7Zz6rOkrN0+qPN9J68pPVHzmvJOY9r1/xSTWpdpziRx2Z0TtZ1T\n",
       "3V5fX2+uS7rWVMe67PZnLSsZx1291pr3lSmmyd6Sjp2dsVZjtLMOrfXXdnVzasqrxjw981TJfpyO\n",
       "na5uNSbpWKkeHx9vfn4qq6afuXck56PvpOte12e13tNeP0nOROnZL91rjmpMpxin/d09P8UkOT9N\n",
       "ZdXf7o7bh4eHL393Yy8906T3yOrY1lrPaurvGrede0l6D+zOFWvNbTtK+3vnLFDrvdufyfiZYpKO\n",
       "xa5u6fl6kuR35h10rew9wNlnnp21I92Pp7gkZ54pvc6D6fmnp6dfpp15Vl/rr3Hq6jatQ8/Pz1HZ\n",
       "xz6YxvGUXtuxc/dL9rRb0utY6/aaqT9r/+ycedKzwHT2S+/LnTP7M12Pd8/fSdk1Pcl7sntXS9fU\n",
       "M6Vn3J2xlo6tro/Sc+H0fG3Xznqf1q2LS5rXdK5I5vvZ4zY5K+yeUdNvX8m9cfc9zzHmu3P9zHtm\n",
       "OtfT/bp7Pn0PsPOOKo15elbozm/T2S6d7+2dJcoJAAAAAAAAgP9aPiADAAAAAAAAsNbyARkAAAAA\n",
       "AACATz4gAwAAAAAAALDW8gEZAAAAAAAAgE+XP/744+P/dCX+f97f37/8/fDw0D5/uVyi/DofH30Y\n",
       "all3d/239ym9y7ua6lbb+fb29stn7+/vo7qkZU/57Zjqnqhja6pnF9O1vvb3FJM0plN+U92OphhO\n",
       "davjeqdPal7TnOn6KInBWtnasFbfzmnspDFK2vLy8tKmT+18fHz88neybk1lTWMpyW+nXr+jq3va\n",
       "rmTNndo5lZ3WrSvvzLV7rb+Oj27sTnGoMd2pa3rumNT5283B6/Xa5vXz58+o7Clur6+v//7f6bq1\n",
       "M59rWVPZU3qNW1e3aQ08xmTKa61sjk5lp/vxTtzSPa/uDVWdJzt9UOMwxaVbO56fn7/8vTvWqq7/\n",
       "/0+uW8kZ9TvJHE3XyKn/kzmajuOqtqvLL72b7d4Lj304tXPqg/r7qexuL6q/rWtm9a9//atNr7/v\n",
       "yj77TtLld/b9t+r6LL3nTc93a2S6dkwxTfbj3fc6VXI3mNo5pe/eaY5qH+y+36hx6MbH1I70THRM\n",
       "341RjcPOeEnH0jSn6jjv8k/jMN0FunGerg3p+86dZ2tZO+frp6enm59da57PdZx3+1p6ht19r5vc\n",
       "I9JxvjNHa8x33xPUuqTv8rq67Lwvmc441TR/6/joxm5a9u573aPdd1DJ2WLKK51TU9yOdfs736VN\n",
       "6Wff5Y5nv2lcnt3OZA098zva9PzuHTR5/ux7YSJdOybt+45TSwIAAAAAAADg/7V8QAYAAAAAAABg\n",
       "reUDMgAAAAAAAACffEAGAAAAAAAAYK3lAzIAAAAAAAAAny6Pj48fOxl8fHz9+fv7e/v83d2vv1k/\n",
       "PDx8+ftyuURlJ2VVU1np8116rdfPnz/bvKZ2Xq/XL39PfZCUNbVzivHx91O90rEzxSXJq8awmso6\n",
       "pifPfqfGfIrL6+vrzXnd39+3eU1qnOqcTeyM0ymvqV5THF5eXr783fXZNAfqb3fGRzo/J8l4qDGp\n",
       "ah9Mcyqp+1TPtA8mb29vN+c11S1pZzeX15rb+fj4eHNZU3ln7u3f/b6LcZe21l/H1hTjro/SOTTF\n",
       "Yar7UboeT3kn+3F6hpnmfzfHan/tzuf6+67sqb9qu6a6Jfntnp9q+plrzZRXeu7sTDFL98ikrCmv\n",
       "KQ7J+TqZ+2ude4ZN7ju35LdzVkz3juRMtHsvTJ7fPcunzx/jNMU/nb87e2Ttv+mcMknW7ylmtS5n\n",
       "3ivSfaiqMT9zrE3Pd2vR2TE7817y559/fvl798563I93z081fToTdXGod9SpP6eykvU/vcsl43xa\n",
       "G3bPREl+aTvS/u/KntpZ67azr9V27a5byRnq7D0yeZ+18x52rWxNTcf1VHby7mz3/FTtvC+pdTlz\n",
       "v10rm89VrXdyH57Sdvbb737f9f/unld1cThzHfouv513p6mpD45zOL2rVek9s2vrme+Ia1k77+jX\n",
       "+uu6l47zozq2dvu/ltWt0elasNOfNe3sb1/dHJ36Jz0TdXXzXyADAAAAAAAAsNbyARkAAAAAAACA\n",
       "Tz4gAwAAAAAAALDW8gEZAAAAAAAAgE8+IAMAAAAAAACw1lrr8r/+1//66B74+GiT18vLy5e/39/f\n",
       "2+fv7+9/mXZ3d9f+ndatpl8ul5vLrl5fX6PnO7UeUzu6en9Xl64Puvh/Z+rPybHub29vW3nVundx\n",
       "mWJWTX0w2W1bl9c01h4eHn6ZlvbfND6S/KY+qPWenu/Sd8fplF9X9hSz+tupP7u21HVoavcU02Tc\n",
       "p2O8G5dp2WmMq+fn55vLWqvvo1rWVHYyp2r/JvW6pazqer3enNcUw6nuVdf/Z8/npJ1T2enen469\n",
       "o67ev+M4VnfPHVU39tK80v7v2pKugekcqo7r5LRmpvN9WlO78VJjevY47/pgimlyVp/Sk/PwLZKx\n",
       "m+7HO/eldB+a1LK6/jxzrU/T0/tQ9fT09OXvLr+pnTV9er7el7v80nZMdUvn4FEdp2ffl7p1a4pD\n",
       "7b+pnV0fpXfzdA/t2jmN69oH097Spad7wZRe49DFJd3Ddu8wybqYnq+n+d71QTrW0nHdlZ3e86d1\n",
       "6xi33fd26b6WnP3OfL8xmcZ5rctUty6uta/T+VolczBdO6Y509V9sTZQAAAgAElEQVQtvQ+le15X\n",
       "9rTe1t/ujqVjfmff1aY4dnWvcZjicuZ6n46d9OzQpZ29rnVjMz13TO8Ykv14mjPpuaMbS7vnq2qa\n",
       "B//J9/Tpnaiz8454ra9x2H2fkerqlrxX/52yuvzSsbazH6dn9bS/u/U7bedUt/Zu1v4SAAAAAAAA\n",
       "gP/P8AEZAAAAAAAAgLWWD8gAAAAAAAAAfPIBGQAAAAAAAIC1lg/IAAAAAAAAAHzyARkAAAAAAACA\n",
       "tZYPyAAAAAAAAAB8uvzP//zPR/fA+/t7m8HHx9efXy6X6Pmznv3OVJfE9Xo9Le8a06mdU1n39/dt\n",
       "/omXl5etss969jtvb28351efrR4eHr78PbXz9fV1qN3/39SfaRym/uzqno6FqW41DjvzoJY1ld2V\n",
       "Vft7Zw6stdbd3df/b03Xp1O9629r3lPZRzX+u2tkUrfd+TuV3ZliNknHQ1K3Ke8kblM703ZM62Dd\n",
       "17q6TGWnZSXzuUrnQdfOM9e0tbI+mupd96n6d5rfsW0761Bado3/VM8pvY6Pbn+e+rP2VzdW1srm\n",
       "6NSO6VxRy0r356Mah7PXmi5uU73TtaaL65nn/u/y29lz07p1fVRjNPVnes+Y1uCkrKn/k71ld91K\n",
       "xvUUg9rOM8+df/f9t3s+7c90fe/iXO+k1Y8fP778PbW7Gx9pzHfv7kfpmWd6/syy03HdxXjaX6sp\n",
       "xo+Pj216sh+nY2fKr4tbur6m7xV27ky1rJ12ps+e+X4kfT85xSx5b5Se7XfGZk3bOT99p4vLNI5r\n",
       "+pnvFCdpO3f27/S97uQYp91zRfq+s1Prslu3qhtPU1npfamLQ5pXut7u7A1pWcl7vd27eT2vdc+n\n",
       "Ze2OtWNc0/cCVT2PnbnfTmek5HvE5Mw7aVpWundUdewme2SVrt9d+plrwXfpyXuByRSXdo2MSgIA\n",
       "AAAAAADgv5YPyAAAAAAAAACstXxABgAAAAAAAOCTD8gAAAAAAAAArLV8QAYAAAAAAADg0+XHjx8f\n",
       "Z2Z4d9d/k359ff1l2vV6PbMqf6lLV7ePjywM7+/vbfrlcrm5XpO0bt3zU71r3aayu3bW8u7v77fy\n",
       "6vLeNfXJVPdjnNL+qt7e3r78PcWlKy+N6VT3mt7N2SmmNa+pP7uy0rXj5eWlTa916/r/zJit9df+\n",
       "Pzq7P2sfdflP/VNjNPX/lH4sb3cdqr/v9qFa9pTXZHr+GLdpbKRjbYpxF7c6DnfXtVpWNwfTtWNa\n",
       "n7s5lbYz3b+756f+rjHbrdsxv7Qdky7G1dRfaf/vnHnStWFnTqXP1vSdM1Q6lqb0GtcuzlM76zyY\n",
       "yn58fLy5rKk/k3E7Pb97jqy6uNX1c+ec+F16l19yHr6lblMfHH+/e0+sZXV9ltTrFsn9eOqvaVxX\n",
       "Z96/0rXhP1lWukZ2krGxVn4H7fJL89rtg+TZNH2nD1LJOSY5i3/n4eHhy987cavzd7dudR4kZ4Eq\n",
       "7c9kD52eTc52a/V1q3vF1F/Te4Gk7ClmNf3Me0d6fp6k+1xX1k47z35HWNO7s8XZ+3EyB3fvarWd\n",
       "O2fF9L3dNA/q77v1IR23O/fMWtbT01ObV7qm7ry/TvszGde7Z7eaX7empmt7eu/o0p+fn7fyqnGY\n",
       "8uuke8GZ56vds1+VzKn0LFDVPth5d15jurNGnnnP/66sZH2eypr6oOt//wUyAAAAAAAAAGstH5AB\n",
       "AAAAAAAA+OQDMgAAAAAAAABrLR+QAQAAAAAAAPjkAzIAAAAAAAAAa621Ln/88cdH98DdXf+N+ePj\n",
       "o/07ye/9/T0q+/7+Pqrb79brP+3t7a1Nn9qRtHOK2eVy+fL36+vrVtnH9Ov1upVX7aOpLUledexV\n",
       "Ux8d7fZX7YNJV/fazjTvqsa8Kzsta3q+m6NpWdN8T9aDaWzUGE117dJr2m5/1rol47x6eHj48vc0\n",
       "36f5e6zbtA69vLy06en63s3RGrNp7Zjm+xSno6kddTxMZU9x2yl7Su+eT9fjqZ3dWKu/ndo51a22\n",
       "q+vfNKbT/JzG0rG85NxQf/udpD+nGKZzamfdSiUx3m1nHbc7Z560D9Kzf3IOmfKa1pK/82yf7N/p\n",
       "Grizd6RjIe3vbpyna8eZd5id89Naf41DV/aZ4/CW54/nnLPLPnP93pWcU9J7YRqXztnn685U77QP\n",
       "krVj9wyb1G1at9L+TPb+nf1zrXPfE6VnlvRc2j1/9vuuY9m79530nJLEcXcdq3XfGU/J+Wmtfi1K\n",
       "65G+s+jGy1R2cr/9ruyj9PyUlt3FJb1j7r47TZz5znCtPg61XbvvBaqublO96zuonflZ85raMc2p\n",
       "+vvkncRU1s5YSt9/pPtQ12dpvXfv+cffT2vD1N/Pz89f/j7zjDyVnbw7PfM7Wc07za/239lrRye9\n",
       "/6b3yB3p2vJ3lt3xXyADAAAAAAAAsNbyARkAAAAAAACATz4gAwAAAAAAALDW8gEZAAAAAAAAgE8+\n",
       "IAMAAAAAAACw1lrr8j//8z8f3QMfH23yX7y9vbXpXX4PDw9RWZPL5XJz2ZP62/v7+/b59/f3X6bV\n",
       "GN3d/X3f8WtM0vSqa+daX+M2xWySxGlqR+3PaWxMdT/WbYrJ6+trm97l/Z2uvJp2vV6jsqsap7Qt\n",
       "XV2mGHfptb+n/p/6qOrGRzpndtbIOhaScXlLele3dP2c4jLVPSlv6s+anqxbVW3X1J+TY35Tm6c9\n",
       "srbrzLGWjqXq5eXly99dW6axk647yXyf2jHVLdnf07Vj8vj42KYnY63WbYph15b0LJbOz+75s88C\n",
       "U37H/k6e/U4dSzv5pWNtikNN79aaqT/ruJ3i8vz8/Mu0uq9M+0x6VujamZ6vzjyPT2vitBfUsrq4\n",
       "pXtBumZ2dduN2ZlrR3ruTNa93TXy7LtcYqp7Mk/quaGq9Z7a/fT0dHNe07jcPRN1ZU+muiXr8Znt\n",
       "WKvvs3Tc7t4Tjum7d5JUsrbsrpG1rOS+XNXfJueO9C421W0nv/R9xZn7cXrumJ7v1sw6P6eYTWtq\n",
       "0s50rd9Za868x39XVtfuM98Z3ZKelHf2O6gzyzrzDJWeYXfmc7rnTWeaZOxO87PGYefdafqeZ2pn\n",
       "Hdc73zfqev3z58/o+So5C6Tzd+c8nsbozHtEWtbOO6u0Lum7uK4PprzqHNm5D6XviNN97Oz3hp12\n",
       "7fjbagEAAAAAAADA/9V8QAYAAAAAAABgreUDMgAAAAAAAACffEAGAAAAAAAAYK211uXx8bH9V62n\n",
       "f/R6+sfb/1Jg8I8/T3kn/5D4lF9a1s4/TF7rNcUk/ce8d/7R+tqu3T44/uPhU72m9DP/IfE0RtM/\n",
       "gp7Mg3TsTO3s8jt77CT/OHy6NuzMqVpWOpam9C6/6/U61O6raSx1fZauHVM76+93xlKN0RSXaXwc\n",
       "85va+fr6upVedW3dGaffSdqZrsc763cdp+laMuXXtTUZG2vlY/Mo7c907ehM/V3n0O58P5piXMua\n",
       "5lBXdrrfpvtQsmZO6VPZUxyS/WAqq86Zae/o+qDGbKrnFLdk70jXoWmcd3FL14ZJ0s70TjLp4lbL\n",
       "mvrzzDPP1I5079i9Zxztzt9EbedU9pntnNaCaue+lErfG3R1S8/LO/vzw8NDlNdk5y4+5bVzjzj7\n",
       "DHvm+5FqamdyhtrdC2of7Nwz6xw4e+/Y2adqTJPz2H96bFXd+EjX5ynGyXk8fd91Ztx21/qk/6eY\n",
       "pWe7Lr80Zuk5pWvntHcn99uprLWy+b5zL/jOmefO9M7aPZ+OnZ27Wu2fKa/d/k7ySud3sk7t7pE7\n",
       "ZVdpf06O8+Tl5eXmZ2+x02e1Xen+XB3juptXepfr+rSer3fHea1L12dnvwc6831X+g1hGrud5BvO\n",
       "WkM7f7sWAAAAAAAAAPxX8QEZAAAAAAAAgLWWD8gAAAAAAAAAfPIBGQAAAAAAAIC1lg/IAAAAAAAA\n",
       "AHzyARkAAAAAAACAtZYPyAAAAAAAAAB88gEZAAAAAAAAgLXWWpcfP358dA98fLTJ6/7+/svf7+/v\n",
       "fYGXyy/T6m/v7s79vn29Xn/7t129v/Py8nJa3lMcatxqnyRlvb29ffl7J2ZrrfX6+vrv/z2NpUky\n",
       "Hqayaru6mN3iGLep7DQOtU+S/Go7p7LTsTbVrVPH4jQ2Hx4efplW2zXlNaXX8dA9n/b39Hy61nSm\n",
       "/qnt3Jmj9bfT2jGNtWPddveC5+fn6PkuDsc1ba1z+2t3Har1nuKWtHO3P6udOTWdM5Kyatru/Kxx\n",
       "6Oo6tePs9fv4+6nstD/TPumka+rOOaWukbvnlOT301hK97XduidlJepaUtV1b+rPrp213tM4nsqq\n",
       "47orO70vTZK1Iz3bV/X3XV2nmKZ7ZDJup3VmSk/m1JnzKc1vakd3Hv6dsrvyan9P43gqK1lzp7GW\n",
       "zvdOOm7T+bxzvqsxmsZHt+amd5JJ8vt0bZ/WrWRd233Xkt5Zu/4+8wy71rnrWrr3n/muro7bnXUr\n",
       "3SPT+1JXdnqG3TlvpevK33lXS9uVnO3OvsN0ZU8xruvQ7n0ouaudbecdcpWeibv80/eTZ76L3V07\n",
       "knUtjfHu+86j6Vw57d9JWdN7ubQ/k7PCdCed1Hbu3FnTuiRj8ex3aTvSsqY1N1nf0+8oO/txmld6\n",
       "n9o5d5x5N/dfIAMAAAAAAACw1vIBGQAAAAAAAIBPPiADAAAAAAAAsNbyARkAAAAAAACATz4gAwAA\n",
       "AAAAALDWWuvyxx9/fHQPvL+/Rxl+fLTZrfv7+5vzulwuUdnV3d3X7+M7+dXfvr29Rc8f1RhNMUnr\n",
       "3dVt6s+0nVPdk/6e1Lp3dUvrNbVzGtfHsTY9O/Vnbedufr/77C26uk1l1T6YxmbXR9fr9cvfde7v\n",
       "6vJLYzr1ZxLTdD5P6Ttxq/We6lb7rHp4ePj3/07nzFS3ab4nprVmKuv19fXf/3tq5xSz2s6d/Tgd\n",
       "C1NZtY/OXIumunZ1O8Z/rbm/pvTaR93zUwxqu6Z2nrkX1PSXl5f2+eN8nfLa3W+n/I/SM+yuZN6k\n",
       "c2Ynvzoup7zTNbV7/uwzbjfWavyncTu1s9Z9WoOTvKay69p0VOOfzueqxm1n3UrP/UkcdmL23e+7\n",
       "+Zrugbv79zFuu3Omjo+dPbKWdfa6tZNX7e+d83VdV9J9aNK1Jb3nJXfSybQfT3klZU3jtq7Xu/vU\n",
       "znpddfvOd6a16Gj3XUlyp0nHzpT3sc+msXB2DLvxlJ47U10c0zmzcx+qc2AaSztrZJWeBXbamd7j\n",
       "p7mfjI/0XjjFcKrbcXzsnu3q+EjPvEdn90EyD6aY1rrszPd0nJ55Jk6/L+y0s8Z/Wp/TsdM9n57V\n",
       "d+fBMU5TzNIz7M67mfSsPknW76ms9HtEl57uBdP4qGV1Y/fM9xlr9XVP+y+t2874SOdUe8b57VoA\n",
       "AAAAAAAA8F/FB2QAAAAAAAAA1lo+IAMAAAAAAADwyQdkAAAAAAAAANZaPiADAAAAAAAA8Olyf3//\n",
       "0T1wd9d/Y76/v4+ef3t7uzmvyeVyadM/Pr427f39/bfzqulTXbs41Hq8vr5GZU9lde2c+qfGbHp+\n",
       "Su/qUqXtrHW9Ne07Uz2nul2v13//7ykmU17V8/Nzm97NqVQ637uyp3rVstI52KVN/ZmOj84Us2pq\n",
       "Zxe3dB2a0mucurhNMa1x2K3bMb80xlWyDk3P1/U6nc9dWVM7j+vMd9Jx3T1f2zXlPfVnMkensqY4\n",
       "JPnV/txdT5O4Te2s6VOMk7ikcyI9n+2Ulc6pNP+urKlPprod47RTr7XWenl5icrunL1HJm1Lz8vT\n",
       "HEzO8mefxzrT/EvPPJ0ag7PX565u6bqV3js6u3MqaWd6nz3zLJ6et6oa0/R+dVTbtXtfSva1tA/S\n",
       "sXmUzsepv5N5MMW0xmjnHcSZ58TU9L4jXTuSsTbFOF2/p/6f2po4856ZzpEpbsf0dJ+pasx29rX0\n",
       "bJee/bo+SftrJ271t0l/3ZL+8PDw23ml74jrmfeovgvbeWe01l/r3s3/dBxOa0NS990zajqfu/Lq\n",
       "b3ffzZy5t6TnlK7sOua7OfA7Ze18j0jvEWeeSyfJPTONWbp3dPnt7lM1fec7Tm3n7vuvY39PfT/F\n",
       "Ia1bJ13H0jjsjPP62507a/JNbsprrSxu6doxjdsu3X+BDAAAAAAAAMBaywdkAAAAAAAAAD75gAwA\n",
       "AAAAAADAWssHZAAAAAAAAAA+Xf7xj3+0/3rz9A9J138cevoHmaf8jtJ/xLyqdevKnv4R66Tea2X/\n",
       "6PXOP0r+3e+Tf6x9Sp+ef3p6ujm/3RjXdnX/YHr6D4mnz3flTf+Qe9rf0z/A3kn/0fqprOQfqU/n\n",
       "zE5+9/f3X/4+uw86U8xqH0x90tWt/vbh4WGoXS/pz905svP81F+1/6ta96nPuvSalq6p1TEOuzGu\n",
       "6dPzXf8n++dacx8kY223v9P8jqZ6vry8tOlnrnu13mn/V8fxldbzzH0o3eun9O75ZNytNffvFIck\n",
       "runekZ7H/28x1buO83R+d3ntqnXpxlp6J7ler+3zXVvqXWt3zUzG7XTPq+18fHy8Oe/JFOO0bp0p\n",
       "Zul9KZm/U17p2X4yjcWjKYZp3ZMz71TWzhp49tqRxHQqO53vyXuA3XNnrVvXB9OdpZa1c1Zf62vb\n",
       "du5e3/3+7zzzTunJvSRt57SmJvMmmRNr5Xe7Lm13ftex2dUtPfPsjPN0H5rmYHK+TtfbaU7svL+s\n",
       "prol58z0znLmXrK7bqV1Sfbj3bNAtfOevo6tdA4epeN6Kquue93zz8/PbV7p/t3NuTRmZ743SPeh\n",
       "3fe6x/m++30pHdfJ94ppj0zuOLv9Weu9s67VsqZ27PZR8mw6p848d6R31p13jOn7647/AhkAAAAA\n",
       "AACAtZYPyAAAAAAAAAB88gEZAAAAAAAAgLWWD8gAAAAAAAAAfPIBGQAAAAAAAIC1lg/IAAAAAAAA\n",
       "AHzyARkAAAAAAACAtZYPyAAAAAAAAAB8uvzjH//46B54f3/vM7hcvvz99vbWPv/x8evirtdrm3eq\n",
       "lnV39/vfy+tvp3YmZXUxuSWv2kdd3Kayal5T2Uk7p7E0xbTq2jnVq461KS7TWDy2bXp2KqumT3Hp\n",
       "yru/v4/Kfn19bdOrGsekrFRty1EyB6a81vrr+OnaMpWVxrSrW7qGpXXr5mi6F0ymPkik69RU15eX\n",
       "l1+m1ThM47ybI7fUZcdUt64Par2ncZyua93zU3+mMevyq+2a1ttp3Nbfd/lNY6Oa2p3soVM7av9M\n",
       "z3d1q/Wa1pK0rJ19qKZPdZsc6zb1x1RWHbcPDw83lz2Zyu7WwO/K6uZYer7a6YM6FtIYp+lJWbWd\n",
       "Z86paX1OzrBr9X2W7nm7Z+Ikr/QOunOPqOnT80k7d8bGd+lT2c/Pz79MS2K21n7dj6Z1KD37d+np\n",
       "uSK945y5rk3zPSlrGrdnntUnaR9M8/2YPp230rPCZOfemJad7MfpueTM9TmVvrM6quN2t/+Ttu28\n",
       "b/xO185a76md6Z30zLtaeg7p6rE7X5M1Ml27d/v/WN7unSTdv7vy6m+nO0k6PpK7+mTnHWSNwe75\n",
       "OnmnmL5rOftdaye9T+3sBzUOZ54rz47Zme9H028+XVm7a2Q9f++8z0z3glRyX/6/qax0TiV7ZHXm\n",
       "O0f/BTIAAAAAAAAAay0fkAEAAAAAAAD45AMyAAAAAAAAAGstH5ABAAAAAAAA+OQDMgAAAAAAAABr\n",
       "rbUuT09PH90Dd3fZN+bp+cvlcnNer6+vUdlTWR8fv27qVK/62512pjHt6v1dfl3+7+/vbV41fSp7\n",
       "yu/+/v7f//vt7a19dnK9Xm8u+1jud2r/JO34zjHm07h9eXm5Oa9bdGNt6r/0+ZrexWVqR4152u5O\n",
       "ss58ZxoPSVl13KZj8+js/qy6PkhjOs2DaT041n0qO41pGpezfjuZxt1UdtpHXX5TTNPnz9yn6tiZ\n",
       "xlIXl3Qv2D2XJGXtrmNVXYuSsqf+3TlfVelZoYvjtK+k8zmJ4STZZ26RtCWdr1NZ3byYykrPnclZ\n",
       "4ew51JWd1nuKy/Pz881l7Z6f6pzb2edqXR4eHtrnk73m7P23yy+95+32QXLmmdaOes/YWWvOHmtV\n",
       "sj9XtW7T+OjWqfrbtOzJzvk6PXfs7IlVei/s8j/zfvtd2V36VHZ6Z93ZW2p/pmVXtS7dOSVdC7p9\n",
       "aK2vdZ/yPjvGyR1myuvp6alNT8pO7dz90rtaOpa6/KeYJve+qW7JmXPK67vf77y3PXPc1vLOviee\n",
       "uX/vvvNP3ilO/Z3ktVZf93p+2n1/nd5xOumZJ1k7dt/5J2eBaWyk7+2SOfp3372T911pXH633O/K\n",
       "npz5DnJ3XUvmUPreZvf+dXT2nOryS/tnp53+C2QAAAAAAAAA1lo+IAMAAAAAAADwyQdkAAAAAAAA\n",
       "ANZaPiADAAAAAAAA8MkHZAAAAAAAAADWWmtdfvz48bGVweXy5e+Pjz67+/v7m/N6f39v87q7679/\n",
       "T+ld2VWty9TOLr3GYMprqtuUfjTFtJpiOJX99vb27f/+nbySuKUxTcuujnF6eXlpn536oNY96d/q\n",
       "9fU1ev56vbbpZ461mr4zn6f+rqZ21LK6/Kd615juzOc0ZunY6fos7c9pHkx1T/p0mp9TepXOm86Z\n",
       "7Zik61rXB+nePq3vtayu7GkdSsvuxu7z8/PNz64191GtS3IWqGqMprol+9jOvpKqZU3tTs9XU/93\n",
       "knPiLWUd2zrl/XeeBard9bfWvevTtH+m+Z+cBdJ9ayorHS9dWVPZXdzSs/zUn8mZJ+2fdJ3r0nfu\n",
       "mN/9/sy1Y5qfyVlgZ2z8TtnJWDuznVN+U3+mdevGbq33VHY9O1S1LmeuHVP/74zraqp3cm6d6lX7\n",
       "YGcvWOtr3Hb3gmrnLvfz588or/RMvPN+pPbnFONjn+6+Q6jjY+eOW9uZrktVjUs37tN3UNN9OdmP\n",
       "d+9qyZqa7u3p/ekovZfvnhUSNa/dPfLYB1O703dnO++c07wm9ffdnnrmnrZW1s5dte47c6rauRem\n",
       "/Zn2Qbenpmv7zneXVHoW2MkvPXcm545k7/5O+g6qyy99n5Gm/58681Tpe/r0PdBOO8/87uK/QAYA\n",
       "AAAAAABgreUDMgAAAAAAAACffEAGAAAAAAAAYK3lAzIAAAAAAAAAny5//vln+y8uT/+4c/0Hlqd/\n",
       "kPnl5eWXaek/gH69Xtv09B9g76TtTP4h8fQf965qO7vnX19f27ymdlXJP9i9+w+mJ/8AexqzKS5T\n",
       "3Y7lTTGZ/tH6OueSsqvan1Ne03xPnu/m+lrn1q3+dlobpj6qdev6bKp3unZ0+aVrx1S3RLo2pGOp\n",
       "K2/Ka5pTyRq5Vh/X3XZVx7VnivGUntatmyfpuJ3KTvbfdI6cWfa0F6RzrpuD07itcUjXrc7Dw0Ob\n",
       "XufImevzmevSVHa6H+/WLZmDaVk76316rkjTk30rLSvJL90jd+4FVbr+7twjzt6HkvP1VO+6tuyO\n",
       "teNaNK1byZ3ku7+PpnNk2gfJXW/KO92nztwjp7zSunfnsfR+vHP2n86F1bR/nxnT9AybtCWdM9WZ\n",
       "71pqXrsxPvOskayRk/S3Z97dp7WjSmKcvsep6t4yzeduLzr7LJCM82n+1f7amYN1T9ydE8ndbzoL\n",
       "pGOtk64z6f68sw9Vz8/P0fOd9N3L5MyzY/ruZUrfaWuty848qPXYPT/9J++FO2q90zNQVfuga3e6\n",
       "Ru7uLckcnvad1Jl382mOHNu58755rb+u3zvfStI5lY7Fnfe2NX3n7peeE9M+OPNdy85a479ABgAA\n",
       "AAAAAGCt5QMyAAAAAAAAAJ98QAYAAAAAAABgreUDMgAAAAAAAACffEAGAAAAAAAAYK211uXHjx8f\n",
       "3QN3d/035o+Pj/bv6v7+/ua8LpdLm1ea3j3//v7e5lXrNsWly6/GYIrZ1M7k+be3t/a3tS5df92S\n",
       "fsxvivHUzvr7Lr+pnQ8PD1/+nvpzaufR6+trmz71dzXVrUt/eXmJyprqVsvqnk/7e+r/rqz62+v1\n",
       "2uY1meqeSNvZpad5pXHo8pvGUjI2bnHsg52x8d3vpzmVrLnTWpPsLelaP5nWrS4OU4yqqQ9qHHbG\n",
       "RxqnM+dzuofuqP037S1Jfun6nI6HLq/d+Zw8P+X1+PgYPX/m/n72fO/U/t49Xydzasqrjq1p3+rm\n",
       "4DQ/U2f2Zx0701jq8kvvJKnkrjap5+3q6empTT+2bYrZ1P91vncxnmKajrUpbmfuHTVO03zt0mte\n",
       "u3fWdC3aKavqxvWZe953+XXSsTStkcn9+Ozz9Y50XTtzzpx9hu3ikp7tznwPdPb8PLZld86kZXfj\n",
       "vPbP7juo2md1Lzma5mf67jR515KO4yoZa2ffvbt5cPbaUOvWveOYyqr9PcX47HNqJx0fyR45vWPY\n",
       "vWccpe8z03tHlzatz+n5quuDNKY7d9I6bnf7q5bVjfOpnbVdyXv47xzvIen7zCpp5ySdU4lpXJ59\n",
       "7ujKqzHdfceQfDOc9uMz33c+Pz/f/Oxa574Pm8ZOuhd049p/gQwAAAAAAADAWssHZAAAAAAAAAA+\n",
       "+YAMAAAAAAAAwFrLB2QAAAAAAAAAPvmADAAAAAAAAMBaywdkAAAAAAAAAD75gAwAAAAAAADAWssH\n",
       "ZAAAAAAAAAA+XX78+PGxk8HHR/bzu7tff7NO87pcLlF6l39Xr7XWul6vW2Ufvb29ffn7/f29zWtK\n",
       "n+p+VNtRTe2qXl9f2/RjW6d6Tum1bvf39zeVe0t6l9dac9weHh5uLvvl5aVNn2JadXGraVPdzpSO\n",
       "pWmcd/O39l9adlJWKp3v3Vibxmk1zamaX5f/zpr3nWkeHPvg7HE7xTHp/+nZqb+TvKYY19/vtPPs\n",
       "sVYle2SVtrPrg7repjGedM9PY6PGYXcPTZ5Ny07OV2evJV3Zu3vBjqnsaa+v4yPts+6305km1bV1\n",
       "mp/pHtm1s7Zrmq9TTJPzWFrvaXwk96V0/Z3K6tqSzt+p/6f0Y367c6rLu0rHTnqHqR4fH28ue1Lj\n",
       "kNzVprym/XlaW5KxO50Tq+Nd7DvduK7t2l07kjmZ7lM7+3GipQoAACAASURBVHGVnvWq5F3L1M7a\n",
       "P9NY27k3VmlMp7Z0YzddI9O9Yufck963jmXvjstkLK3Vx63+dnfdqmXtrNH/yXenU95p/+6cFdM1\n",
       "NXmvt7tH1rWjW0vS97TTPpSeiTu77w2qrq11LOzuHdWZ79521qIa/6k/0n1t59yZzveurPS+lJ6J\n",
       "urGU9vXUB8l5a/edYh33O2Mtvcsl/b27NtT0nT6oee3cf9f6670keddapWe7Lj397nLmt88pBvW3\n",
       "O+dn/wUyAAAAAAAAAGstH5ABAAAAAAAA+OQDMgAAAAAAAABrLR+QAQAAAAAAAPjkAzIAAAAAAAAA\n",
       "a621Lj9+/PjoHri/v28z+Pj4aP+u7u5+/c16+m2qlnW5XH75bJe21lrv7+9f/p7qmrSli8nvlPXw\n",
       "8HBKvdZa6+3tLSp759mpD+pY7OI25VXbVfs3ze/Wet2SXst6fX1tn+/iWtt5vV7bvNI4dM+n7ZzG\n",
       "R1dW0j+3mOqeqO3aybvOgand6ZzrxkfaP9PeMUnWlmncTutYovbflPeZa0e6F+yuuUle6VmhK3ta\n",
       "p2peO+t37b/dc8iZ55ia1xTjM/szWeun9Frv3XGZnO2m+VnH2tTOaY4e9+vddaeWtbOmnnlWv+X3\n",
       "R+n5emespeeKl5eXNj0Za+nenp6ROun6W525DibnirWysTadhye1bmfeSXfX/mMfnjk21tqfB0le\n",
       "6RratXWKQ7p2dGtyjem0fp/5fiQ9X+3sBTVGu2MtvZd0al12z/bH36f7UJWeibo+rXlN/TmtoWnd\n",
       "OjvnlqncqZ1p2ck8mGI4qW3bya+2cycute/T91+Tbhyn6/Oki0O6Pqfzs2tnuqft3nGO6Tvn4e/K\n",
       "SsqukvPwWueeO9Pz1c65s5Y1jbX0HrHTzjP7M5V+E9hZI9M9Lbl/7d5/z3x/ffZ57FiXM9ehtfa+\n",
       "R9RvU7vfXZI+OPOb3SR91zI5873emWX7L5ABAAAAAAAAWGv5gAwAAAAAAADAJx+QAQAAAAAAAFhr\n",
       "+YAMAAAAAAAAwKfLH3/80f6Ly+k/NJ78495/qUz4j5Kn2n8MevhHy2td7u/vf7seNa8pZtM/NF7z\n",
       "69oyxfTt7S2q2/V6bdOPv9/9R8yTf5g8/cfZk3Z85xi3aSxNarvS/j+q47T27/R8VePw+vraPt+p\n",
       "cZr6v4tDrdfO/PyurK5Pp/6uMUrX1KOHh4c2711d3dI5sjvfj30wzb/dOVd18yRdOybHdk5z/ex2\n",
       "JvvxTl7fpaf5d7/dGWs15lO9prUlObek6/E0Pqa6HcfPzjr0nS6/dK0/8+yXtmOK8eTYB2efBXbi\n",
       "ltZl2luSPp3G+Zn3iNp/UzvSNbebY1OM07WmS59imuS1VnaPSPPaPV8f85vanZ4ju7LTc+Tumpqs\n",
       "Hem94Pn5OXq+S9utW7LGpuvWztpx9juHWvduHkzjOl07urJq2jTO0zm3E+N0XUvGx/Ts2X3QlVfz\n",
       "muKS7hVdnybvM26p2zF9d+7Xek97R9dn6XxO+2DnvUDNa+c+VJ19vu7GUrrf7txhal+na0WV3EnT\n",
       "ub47n49t272T1DmUjs2j3bpMZXX5n703JPPg7PNY15apnWeuHWeut2tl+9rfPaeOdZvOPOk3hDPt\n",
       "rt/Je570vLxzZ612vm2slZ390u9sZ76D2O3P5B6afhPY+f7ov0AGAAAAAAAAYK3lAzIAAAAAAAAA\n",
       "n3xABgAAAAAAAGCt5QMyAAAAAAAAAJ98QAYAAAAAAABgrbXW5Y8//vhoH7hc+gyG9B3X67VNf3t7\n",
       "a9M/Ptqm/faza631/v7epj88PJxW9hTju7uv/z+ALi5Tve/v76Oyk7jtjqWa/vr6+tv1qmNren6K\n",
       "21Htj528bsmvi0MdC1NeaV26/NI47MyDmtdU9m4curKn9HStOarrym47al3SsZnkXSXrWjfG67O3\n",
       "2Klb/e3Ujimmx9/vrpFnzqn6292xVsuqe81Rurd3eX33/FFt17R3T/051f3Wen1X1u5Ym85UnXRP\n",
       "7Zy9R3b9P+WVroHTWEvikIyVWyRx2F3rk3VwKquu7zvrVhrT9Izb5T+tHT9+/Pjy984dp6ZN7Z7m\n",
       "XG3nzjllyrs689wxzc9aVvf82WfYqZ3H8h4fH9tnJ3U8THU78y435VXrtrN2pOM2eWexuz5PYzGR\n",
       "trMbu7Ve01ib5sHZ+9jRbgyPcUrXhik93de63057QfqubedMNN23quQOk+4rZ75j3O3/5MyTvoOY\n",
       "2pn0Sdp/VVK3tL937pHpfpvuBTvrWM0r2eu/c6z7y8tLVHZ15nvddD0+8xtCuj5Pa2py7kzLrpI5\n",
       "efYa2aXXGJ05br/7+9a0tfK1P8nv7LVjR7oXJOfrs8/qZ55pz37f2a3fZ763WauP2/Pzc5TX3/md\n",
       "9cz3QP4LZAAAAAAAAADWWv9Pe3e2XEdypI02NgaqWHr/hxUxnRtYW8ILDMdHD1J9+l/rSrTMHYPH\n",
       "HKky+IAMAAAAAAAAwDsfkAEAAAAAAABYa/mADAAAAAAAAMA7H5ABAAAAAAAAWGv5gAwAAAAAAADA\n",
       "Ox+QAQAAAAAAAFhr+YAMAAAAAAAAwLvbt2/f3rYv3G5Rgg8PD9vnb28/zy7Na5fWZ15fX3857/v7\n",
       "++j9XdleXl62aSdpfeV5ktcuRr+SXqLGpbNrg7R90r43cXe3//9t1LJMylbr2bVv9zyJW9cv0zH1\n",
       "/Py8fb5Lu+ryqs93dUnK9RW7sp/ut7Uv7urStefJflvzm6wra2X1TJ3sa93ckK553Zy6e57O7el4\n",
       "T+ty1cWpSuaprr3S+fvp6enLeVc1Zt383LX34+PjT9OeSuatXUy+osZh12Zde9WYpW1SXX+f9pWq\n",
       "/r57f9f+tV7pfqvq5uSrdF85mZ9rzH78+BG9X9V6pnPP1ck9bto3uue1jSbnpdrXpmPq5P785B42\n",
       "bc9k7picMdfKx1AyJ1/Xkc909Ty5/0r3Ebuy1facjqlqV9Z0D9vZ1TOdj7u8a3qTe55kXVkr2zN3\n",
       "9e7KVsdIel6+Onmn9JldXNK+lNwbdHND177JOrTWfC95lZ5xd7o5MO3nu7LVGHTtm663yX1mVX97\n",
       "cu6fnpdr30rOMFW6T+zidi3byTPJWn0b7Mreje8q7R+78X5yfK61r2dNa9pvk/l72neq5K58etdW\n",
       "229Xl/TbxnT9vpZlcv/0lbx+p6QNurkhvQea7HmSdWWtvJ9P2rT2+0k90/31yXNEuiamZf2Q1y//\n",
       "EgAAAAAAAID/U3xABgAAAAAAAGCt5QMyAAAAAAAAAO98QAYAAAAAAABgreUDMgAAAAAAAADvbt+/\n",
       "f3/bvfD2tn28brfb9t/d+1evr68f/n13t/++neb18vLy03fv7+9HeSXvPz8/R2l1Zat2bZbGrGuD\n",
       "zjXmaV+qut8naZ2MaX3evbvrh2v9M+Yn++aPHz+2z+sY7J7v+kdX7vrbLi675+k8dDKm3bsn57Ua\n",
       "g6RffiWvXd7p+JyO9+vzLq10nur6+S69dC1IyjZtz6qrZ7JWdGOmy6sb31fpGJnE7eQe5ivPf/Xd\n",
       "E3l3bZSklbxfn037Sm3PXX/p+lLt10mMpk6XbTJ/V+n8vWuztD0ne4Fqeo6odm2Qjs90Pt/9drp/\n",
       "rvWa9KUa80k96++nZ5K0vXceHh6itJPx28WsO0eenMdqzLt6dueMLv2r02fzZG/XpZ3OU5M2qeXu\n",
       "xkGyJp7cN6y1b7PTd0rdOLjmN50jk31HJz0vdWpZ6tx0Mu2d6VmttudkzKT7zundzdXj4+P2ebJ/\n",
       "+uz9ndP3ApPxnOwrOukc2LV30te6dSgdvyfXtbTfTtqg5pXepVZ1r5CMsc5kjTx5x/DZ810bnDx7\n",
       "pXlN5+9k75/2w+kceS3bdL2tJnFL58iT30JOz1vJ+Xh6R3xSus/Ylf3kfjlN/2Q9Ov4LZAAAAAAA\n",
       "AADWWj4gAwAAAAAAAPDOB2QAAAAAAAAA1lo+IAMAAAAAAADw7vbt27ftX1Du/oh1fd79gfWTf1C9\n",
       "U9Pbpf/w8BCl9Z///Cd6/6rGqPuj12lcTsax+wPbXdmvde36RvrH3v/kH1h/eXn58vPJGPjs913f\n",
       "3LVBV+5Ujfnuj79P/jj7NL1pv62/37Vp2q+7Ntn161qurp7p82/fvv1SudZa6/n5efs8Te/at6Z9\n",
       "qbZ3l3fXPxLJGnp6TuvilozfLq207Ltx0OX1+PgYvZ+UrXu3G+/VpO/W36b7lCrp1yfnmnSfmOwr\n",
       "1vpnf/hquX4l72Sfku6fO+ke6avPfiWvOt/v2jTZP33l/SRu0zUyGe8n58AuvXQ/nD6frEXp+rlb\n",
       "h9bKxlSXd30+OZOmMZvMv13e3e93c2SXXk2r67dp++/y7tKqZZnMkTVG07NcXa9376cx69pzt1eo\n",
       "4y0dM51Je6Z79WSd6s4o6d5vMkbrsz95D9TFofaPpK8lc/lXnk/6Zm2v6Rk22UN1c2Ryx9A9r2lN\n",
       "65Gsa+l5qJPE+HR77tpssq58phsn3fOr03NHYrp2JGfctB6Te8CaV5dWuifazanpPrLrKyfXofTM\n",
       "Mpkf0jny5L60u2s5KTlLf+X5VTr+OpPvOLWe03N+MkbTtLq4nbw7TefvST3T/dWO/wIZAAAAAAAA\n",
       "gLWWD8gAAAAAAAAAvPMBGQAAAAAAAIC1lg/IAAAAAAAAALzzARkAAAAAAACAtdZat7///vttksDz\n",
       "8/OHf9/f3+8zvN2+nPbr6+v2+d3d/vt3zWuXd1Kutf5Z7+rt7ethfXh42D5Py3Yyre79l5eXL6fV\n",
       "tVcXsySmaV7d+10bdX11l3en62s7SbnW6stW+0MXtySvri/t+mItR1ePLi4n69mlXe3KXn+btlf1\n",
       "+Pi4fX7Vtc+PHz8+/LuLWff8upakY6aq7d3FZbeOpWVJ2mg616f9YzcO0jFwcv7u4lDLPRmfad9I\n",
       "x+/Jfcc0xtf8np6etu/WmHZ7u8R03qrPd2VL94ndepvMW1Mn1+90bugk/aOrx3/+858P/+7Wml16\n",
       "afy7OCTppeMz2T9XNf7Teava1eVP7hNrfl3MurIl/baLWbo3T/ZEp9ehbgzu4lZ/O9mrp2VL7xQm\n",
       "++tajunckI7RSV5d3ld139/VMx1zyb6ySvta51q203Nkd37axSHdw6b7mIk6r3V5X9uoK8f0HFH9\n",
       "yfux5KzQ1bOm1c3Pu+c1r65fpvN30o8naX32/lU6B07WvPTdk/X8Sn6J5Ey61r7vpmtkNw7qXLMr\n",
       "W3oe6u5td9J6pv0jOat10rlmZ1rPZM+Txmz6reR659Hdf5zeK+za6PTccXVyHvmKyXmqOjneuzjU\n",
       "eWgyd9T1dfotM/nOmu6XJ/3Df4EMAAAAAAAAwFrLB2QAAAAAAAAA3vmADAAAAAAAAMBaywdkAAAA\n",
       "AAAAAN75gAwAAAAAAADAWssHZAAAAAAAAADe+YAMAAAAAAAAwFrLB2QAAAAAAAAA3t3++uuvt90L\n",
       "b2/bx+vu7uM36O793fPb7bZNu7q/v98+f319jcqW6MpW63JVy13LmaSVvt/FoJbl4eEhynuXX1eP\n",
       "Lg4vLy+jslzVenVl6/K+/j7tl1Vto7T9d3md7ms76Xjr8t49r+0zSWutfnxfdfWsZeveT9rgZFpT\n",
       "Na9p2ZK5I32ermu73yb16Jxur2687+pZn3Vjoqvn09PTh3/v5tRuDk33Hbt1rMY8nZ+r+vtkLuny\n",
       "ms5bk/V4MmZq/Lty1r5SJXFJYzYdg9f00jFR1TY4uW5N93Z1/O7GTboXSPZbVTr+0nGwe//x8TFK\n",
       "a7IfqzHtYta1QZ1zuzl4J92rd3G46tqz69c1pruypnPe6TbYSdepLu1d2U+fpZN5Kj0XpnuHXV5d\n",
       "e3Z5JXNsl1dNa5J3Orafn5+3z+s6tovx6b1dF7fr867fpXu1yXiva0W3DnVtkKxTaT2T8T7Z7/6K\n",
       "XdnS8ZysQ2vN9gLpmXRX9nTMdJI7i9Nn72Qvn671Va1nN8YmeaWSc8TJu9HO6Xu9mt6kr9W1ZfI9\n",
       "IinXV6T3KTtp2ZLzUrc+d3nVMTTZC6R3p51kTKV7/649d3PL6f31Na7Tu9OT5+nfeZ/RvZ/OoZM7\n",
       "iMm7n6llT/cpu7Qm93r+C2QAAAAAAAAA1lo+IAMAAAAAAADwzgdkAAAAAAAAANZaPiADAAAAAAAA\n",
       "8M4HZAAAAAAAAADWWmvdvn///rZ94XY7muHz8/OX3+3yfnh4iH7/8vLy03fv7rJv6d379/f3P31W\n",
       "y9HFZJfWWmt9+/btw7/f3n7epLsYfGaX1lfSe319/Z//3bVXF9Onp6cP/971jy5mNa+uryXt3cXs\n",
       "GpPP1N93Md7lV8vd5d3FoT6f9LUkra5stV5de6VtsMv7X//61zatKh2Dk7S6OCRtkMask7T3dHzW\n",
       "33fv7+bkGoeuHt1cdC1bl9Zk3UnfrzGbzh01pml/2f12Muema0Fa7nRvsSvLdBxc1+C0nl37n5Su\n",
       "Hbu9RddetV929ezG2OPj4//87y7GaUwn/Tzdy6dl373fpVX3dt2eONl3dO3V7UtrXrsxls4Nk/5R\n",
       "69mN/e55sueZzN2fScZcutZXNW67uqRz5Ml9Z7oX78o2mb/T9baTrLnpuWB6/rrq5qGuDercs+sf\n",
       "XbnqPDUdB1fpvrGzK1s6RuraUHXtfX0+3V93a0Uinb/T8btL7/Re4BrX6T4x3Y/v8jt9L5DULY3x\n",
       "ZM9Tx+/0DJPU80/227SeXd7JffTpvV03l1znh+nZ+2QbnL47Te5TunNhfT69c/5qub4i+R6RzkPp\n",
       "PuTqel494eT+urZPtxfoJGfzdK/QtdmuvZN5aK2zbZb2626vuEsv+YazVl/P2ga7GKd3Sp3kzHL6\n",
       "7nxy11LLMllb/BfIAAAAAAAAAKy1fEAGAAAAAAAA4J0PyAAAAAAAAACstXxABgAAAAAAAODd7d//\n",
       "/vf2rzef/qP12z/IHP5R8vSPoO/eT/8w+KRs9bfTP+Zef5/kXdU26Nqzvj95t/tD8ukfmp+Upera\n",
       "4BrXrj27vGsbdXnv+m7Nq0urG+/JH3ufxiFR80rHTFV/v0uvq0cSs7X6siVpn6xnN0cm5e7yqulN\n",
       "x36yFnTS+TvJq5tvu5ilfS3RrR3TueUqjUOSdpdXN57TvrOLW9p3uve7Nrrq6pnGZdf+SbnWyuOy\n",
       "a/90zEz3KVddPbp+XuM22Xeme4F0LtnF7eQ6tNbZNkj2dp/9+yqdOybrUM0r3VdWyR4qjVlXz25v\n",
       "ca3bJGYnfn9V553p+ntNb7LvX+uf9Tw5f3fj7+Tc0dWztsHT09P2/V16ybqyVr5P2cUlvTuZ9OOT\n",
       "aa31zzidHGPTe6Aurlfp+XeyV0zPv+ld3OTMmu4VJmlXdXxO9rw1Jl0M073CZN/5+Pj44d+T9Ts9\n",
       "/6T768leoNbr5Nm7k/adST1Pu5Z9epeW7lMme9wkrc/Sm9xfV5P7sbSfnrw3SO9SJvU83Z61bLv0\n",
       "T4+p5Dyd9svu+WRe6/a4VbL/np4L076W3ANMvwEk58z0vmtyxkm/F07uL6vT37a2MY1yAgAAAAAA\n",
       "AOD/LB+QAQAAAAAAAFhr+YAMAAAAAAAAwDsfkAEAAAAAAABYa/mADAAAAAAAAMC72/fv3992L7y9\n",
       "bR/nGd5uP332+voa5X13t//+/fDw8OX3u7yen58//HtXj04tR5d393xSlk4X4yTv2r6p+vtd2e7v\n",
       "77dp1XJ3ZUvaoItZl9bLy8tP007Tq/Xq4tI9r3k9PT1t35/kNdGl3bV3Mhel428yptI5slN/v8u7\n",
       "K3c6ryVjrovxt2/fts+rOp/v8q5qubuydc+v61Qd+1X3vJY7nQd3aXXtmY7nydxRyz1pg3RMpfXc\n",
       "9fNuTKW6OCRlT9bbLu+ab7oGVvX3da93lca4mxs617p27dGVrbZBN2fu0qtl6WKc7td26aV95+S5\n",
       "Y7o/rvXa1bPrO3Uc7PrtWvs5ssaoWwPTc8Qubl1M075zci+QPp/0tbRvJfNe1zdOxzipy3Tdqnnt\n",
       "0kvPZpM5N90LdGWrc8Uu78fHxyivrn/s5qlar24tSM+0k7mjzpHTvnYt2/Rsnt4bJOeptC9NdPvA\n",
       "WrZuXbuWveuX6f56cj+W3qVM7lom707zTu8nu7mm2vXNrm+cXCPTM2k3Zmpf242LdKyne/vd8+k5\n",
       "osZpco5Ipe2/K1s3t9Ry//jx45fzqmlNY5Ls19K5YPKNIN0Pp3lN4jb9ZjBJL71Dntxnp/VMzl9d\n",
       "/NN9xWSdqutOF7P0jmJylkt/m6wV0/k2TS9Ja7In8l8gAwAAAAAAALDW8gEZAAAAAAAAgHc+IAMA\n",
       "AAAAAACw1vIBGQAAAAAAAIB3PiADAAAAAAAAsNZa6/avf/3rbffC3d3+G3N9/vr6un3/5eXly2nd\n",
       "399v03p72xa9LXuSVn2epF3VGHQx6/K63W5ffr+rZyopW1fPWo8ur11d0n47jcu1TXd9fK2+nrXf\n",
       "d3VJyj4Zn5/9fpd3V64ahy4uu+fpeOzy+p1pdTE+OX6792tfm8SlptX1tc617JO+sdZaz8/Po7Ls\n",
       "TNepa9mn81C6TiV9LZ0bqtpGk7oma95n7+9+29XjZD2n/brq+uJVF7N0/CZ5d7p615ie7Etd3kn/\n",
       "mO7tHh4eovd3+dXx+/T09MtprZXtU2o9ury6+XpXtnRv15Wt/n4Xt3Tu6MZMMj9P9zTJXiBdb9O9\n",
       "4E7aLzunz0Q76TjYSc+sk3Xt5H75s7x2bZauBZ2TdZmeaZN307kjicv0LiXZ86RzwbRs3Zi76va4\n",
       "6Zyb7Dun5/xkvJ+e8659cTpeT64d6d4uvUeYxDht/6SeXT/uJH1pei6skjY4fX7a7TvTvnFyjE3X\n",
       "mZNns+QO8CvPa1x3/en0uXDXppM7/s8k69rpdWi3BibxX6vvi0kbnO63Sf+Yns1P7sfSO6jONa+T\n",
       "Y3+t2dpS+2G6F6hq3CZn1uSc/9n7u7wma3uXV5XuIyft6b9ABgAAAAAAAGCt5QMyAAAAAAAAAO98\n",
       "QAYAAAAAAABgreUDMgAAAAAAAADvfEAGAAAAAAAAYK3lAzIAAAAAAAAA73xABgAAAAAAAGCt5QMy\n",
       "AAAAAAAAAO9u//73v9+2L9xu2wReXl6OFujq/v5++7wr29vbx6q9vr7+clr1+d3d/tv7Lq/6rEur\n",
       "U8vWxS2xq8dafftff9+Vq7ZXVeu5e78rV4151wbJ80nfWOufZe/65sPDw0+f1Rh1cemed2W56upZ\n",
       "y5akXdW+1eWd9sWubyZ5dWntnnf1qtK5ZTJH1ry6vtS1QVLXk/Vcaz+m6m8nfWOts2MqXacS6fzc\n",
       "eX5+/umzrtxpXtM2uurKlswdp9epLi7XMZf2jUnetd+m/bjajc9U7Ycny5b2le55V7Zk/j45Jtba\n",
       "j+d0XzHdjyXSNfXk+jw5X6XniHTM7OqZ7gXSs1p1retk//RZWU6Og+kaeY1b116n67nra/W303lt\n",
       "+v7V5NzQlWPannWPu4tbGoNurtnllcYszWsyR6Z9ratLMnd0Z5J0P5bcj3Xjfbe+rrXWjx8/Pvx7\n",
       "V7b0bi1d13ZOn9Um61Tq5L4jTTupS3Iv9xW7snX9snte7dqzPnt8fIzSrk7uBdIzTjfer2N0eiZJ\n",
       "y7ZT+8LJuWGtfRt07X16XUukZ5Z0XFyl+5TdfJ/O9ek3n11c0j3udBxcn6d3L1V655zsrydr3lof\n",
       "6zn97lJN1sDa56ffSpL5u+trJ+e19M7/6elp+zz5VnL6HLHjv0AGAAAAAAAAYK3lAzIAAAAAAAAA\n",
       "73xABgAAAAAAAGCt5QMyAAAAAAAAAO98QAYAAAAAAABgrbXW7fv372+7F97eto/Xy8tLlOHd3de/\n",
       "WT88PGyf3263KO9JWjUOXdleX1+/nNbUjx8/Pvz7/v7+p+928a/Pu7h06V3r2vWVLq2np6efpp2m\n",
       "9fj4+OHfXT137VmlfSn9fZWMwWT8faaWbZd3F7O0nrv3T84Fa/2zjXbpd/WsaXXtv2ujWo7pXJKk\n",
       "l4yBtfbz0Gd570xilua1VlbX7t1kjuzqma7HXd67Nqox62KYznu7uKXrzsn5u5tP0zbala0bI/X5\n",
       "tA0m8+Tz8/P2+W5PlM4dXYy7uF2dXGfW6vvHyb1C3ad0ae+e1zEznVNrHNKzwFW3n07UGHTlOrk2\n",
       "dHnVfpuOi6t0fk7jsGuTk3P9Z+9X17443cMm0v3VdG9/fV7PdWlaaZx2Za95dWtBes7cOT1+k7RO\n",
       "tuda+3qnc3u6dux+2+WdzmvJ+lyl56Ukva7fpfNUemdxVWM0ve+qbbSLWxrTLu9r2afr0PT9q3Q8\n",
       "J2e1Lr0uDnUOnZxh0rkhreduPJ++z0zuWqbnndq3JmfSOt+m++cquRfo1uNkHeryS/cV6V5xknft\n",
       "p5O547RkD9WtQ7Wek/uvdL09ea+bjt/p/VhStq6edb1O5/urdF/RuZZ9ejda49DFeLfvTNe8TlK2\n",
       "9EwyHQdX03omc0c6Rib31/4LZAAAAAAAAADWWj4gAwAAAAAAAPDOB2QAAAAAAAAA1lo+IAMAAAAA\n",
       "AADw7vbt27ftX1zu/vB0/QPM3fv1D4//TvUPT7+8vPz03fSP1u/+UHiXV/0j1jXt7v3u+e4Pdqdp\n",
       "de2V/CHxNO+J7o+Wp3klfwS9e7cbI2l6Sb/e/fH1tfq+WNOb9LX62y4uu7Il/XCtvmw1vd373RhJ\n",
       "+k6ntvWu7b+Sd53HJmWtZelinKwFf3o878ZJmlcy3rvx16VVy9b1j5362y7v7nnSP7oYp3Noklc3\n",
       "l6Tz1K6vdf0wnSOT5109a96TuJyen2teuzh2YyrZJ66V1aVr3zQuk7Wm5tXVs2uD+vtdXdJ9RWeX\n",
       "Xi13OmdWNaZPT08/fTcdI+m5Y5dW157pXiHJu0rPhZ2u/yTvnjxn1L4wWW/XyubnLq8a83R9vkri\n",
       "/5W8Emm/Pbnf7tJK57Vdm6blnqzHaV7pmEnm5yptz2TtmK4FyV3LWvu+W5/9yXuDk+251seydXcM\n",
       "6Z63a9+k/U+f1Xd7gXRumOw7033Fn1y/a0wnZ7vk+LFd5AAAIABJREFUXuaz97u8du3f9esu7fT5\n",
       "tSzpnNk9P3mfksalSu6g0j3Ryb1gGuMur8lesaY17R/Ju+nckXwL6fKa3BFX6ZmzSsdUckfRlW06\n",
       "5hLTOO1Mz2K/8251su9I7xRP7ol+Z3tV/gtkAAAAAAAAANZaPiADAAAAAAAA8M4HZAAAAAAAAADW\n",
       "Wj4gAwAAAAAAAPDOB2QAAAAAAAAA1lpr3b5///62e+Htbfv4H89vt9s+w+b51f39/Zff/czLy8uH\n",
       "f7++vv703bu7/bf0tCxd3K66mKRtMIlbLUsXl+fn519Oe2rSnrUsXYy79K6/35XrK89r+50cU3VM\n",
       "VCf7WprWtA2+Wq6v5FXt4pa2T/f+rn/UZ11fOjmvdXk9PDx8+PfJ8d7NM2le3fu79q5x6GLYPb/W\n",
       "rRufXbnTuSMxTSv5/XRNrLq4JtI47No/TauOsdS176Yx7OaS3fxQYzCdn7u5KHm3Pk/2NJ+5ln1a\n",
       "zxrzSRvUZ9N9RdJ3T+8FdnnXGHVjpqvH09PTh39P5pLaBl09k/3Vjx8/frlca/0zDru8u36d7q+7\n",
       "NkrGVDpGdu3ftXUyD31Fco44vUYmeU3PEbUNd22WrpHpXHNVY971pXR/veu7aV+r81K1i1uNQTf+\n",
       "Hh8ft89r2Sd7xdNjKilLcs5fq4/brk1rWtN7g6TvpvuS37nWV+kd1C4uNf7JHcJnkjk1nSOTNXAq\n",
       "vYPY7YmnMU2keaV9bfd+uh9O55Kd7kyS3gNN7ojTuX56R5Wklewr1trH9eR4Wyu7m0ljevLudOrk\n",
       "mKq/nd6PXePQxazL6+TZPJXUczp3JOfCmneVnvOnbfTVcn3leZXsrzvpfVdyz9Pp9h27uPgvkAEA\n",
       "AAAAAABYa/mADAAAAAAAAMA7H5ABAAAAAAAAWGv5gAwAAAAAAADAOx+QAQAAAAAAAFhr+YAMAAAA\n",
       "AAAAwDsfkAEAAAAAAABYa/mADAAAAAAAAMC7219//fW2feF22ydQnr+9bZPben19jd5/fHzcPq9l\n",
       "2aXf1bP+9u5u/+19F4f6267eXV7fvn378O9dXbq86vMuLkl7v7y8HEtrrX3ZupjV52k/3z3v6tmp\n",
       "cejisitbMgbWyvv1rq739/fbtOrzrmy7vGoMHh4etmmlkrw76Vyz8/z8PMqrxmkXt64fpvN39/61\n",
       "7F1fSvOarFO1LF1aXRvt0p7qyrZ7nq4F3dyRSNNK+97OJGZrZf0jnW+TMdPp0kr74mRM/U5dPWq5\n",
       "T+55Tqb1Fbv+VJ+d3qecHP+TPU8tx3ROrXHaxS1tz8lck569Ts416f46fX9nOj+ne//Eyb3ANK/a\n",
       "TydxqzHr9tfperxr/3T+nuRVn3VpPz09Hcu7k8xDa+37db07mdxnrJX163RN/JP7ii4O6bky2V9P\n",
       "z1c1rpM9cbq2X/Oezqc1xl0/39WzPpuMmbX+ORft+v3JeWmtrO9N+1KyF+jm5xrTyV4gXdNSyXit\n",
       "0rk92ZdO7sbW+mcbTO87J3l3JvNHek+/e356/CZ99/R3l2QtmM7fyfkr/R7RSe5Wp/VM18ikr03v\n",
       "eZK6pWeSSdzSeajr13VN3L2ffn+anKfTtSA9y+3idno+3vFfIAMAAAAAAACw1vIBGQAAAAAAAIB3\n",
       "PiADAAAAAAAAsNbyARkAAAAAAACAdz4gAwAAAAAAALDWWuv2999/v+1eeH193Sbw9vbx57fbbZ/h\n",
       "5nn32y7vqpZ99/79/f02rfq8y/vu7uff5utvuxjv0vrs97uypWl1bdKldy1LV8+Hh4cor13ZXl5e\n",
       "tmnVsiT1+Ep6O11e3fOJrpxde9c47OLc1aPmlc41E+l438WlK/fz8/OHf3f9PJkHk343/X1a7m4M\n",
       "JnPotJ61bCfXqdq+SVpr9XG66sZUbaPJmEnXqS6vWrZdepP1NVXbp8s73afs3u/qkfSNtebz+1WN\n",
       "w2TdStfbdP3u5qadOn6n68x17ejS6tahdD+W6OatTi37rg3S+bbrx7v+UcvVxbhT89q1addvT6+R\n",
       "ia4N0jGa5DWdl65l6drz5PycSsdzdW3v6TpUx3d69ts9S/f2Vf39Lm7pvmNStvrbp6enKO8quTdI\n",
       "5+PJOWK6n+7y2uXdxazOidPxef39yXN8TTuVru3pOWI3Drq0ar/9nfvKqo65bk7dpZfeT6Znucl9\n",
       "Zn0+2ROf3KuvdfbuNNk/rZXNz93+Ke07u35+MmZfcU1vuudJ93K7uJ6eI5N73eldeSIdn9Pz1FU6\n",
       "3568R5jevdTf7/puOkam+5ZrftM97C7tqemZNYnT6fuuk9K+luwFpk6ml/brXf9Iv+FM5lT/BTIA\n",
       "AAAAAAAAay0fkAEAAAAAAAB45wMyAAAAAAAAAGstH5ABAAAAAAAAeHf7/v379i9Bp3+QubP7g83d\n",
       "H8yuTv5x7y7vtGy792sMpvU4+ce8a1m6tJ+fn7fPr3Ho/jD8y8tLVLZd3Lq8avtMY5j0jy5mtSzd\n",
       "+8kfVO/+YHrXBrVsu3p3bZD2++QPzZ8eU7v+cXru2OVV26frt13MkjHVxTSNeff+texpDHdpfSW9\n",
       "pC7TNkj69cl1KE0v7UtVjdMuvW7OS/ptp5ZrOm8lc+7Dw0NTuo+mbXBt7zStrp//+PHjS/l+lnaX\n",
       "98TJtNbq18hrXbuYndy7rbWva22DbuynZd+l9/j4GKXV5b3L6/SeJ5mfU13au3qmMeueJ3Nq2j4n\n",
       "y5bu7auT+8g6f0/3Atffd3l3cajPu7LtxkEtdzeeOzWvyb4z3dvt2iDdX6d2MU7zmqyhtW90aaVn\n",
       "811d0n1H2s93kvH3p03zTu6V0nkqOcNM561kX9Hll961pWXrxkWSVzrGJmml42DSN0+ecdIzSSeZ\n",
       "a9Jz/PTsfW3DaT3r7yfzfTo+uzGVjNF0LpjE7Xfu+9fal+1Pno9Pf4+oJnd3tWzpGaZK9tfpfdak\n",
       "bL/zLrybf7v2qXdxk3NEem+XnjNPjtnkLq2TfCf7TLK2pOvUZBz4L5ABAAAAAAAAWGv5gAwAAAAA\n",
       "AADAOx+QAQAAAAAAAFhr+YAMAAAAAAAAwDsfkAEAAAAAAABYa611+/bt29vuhfv7+6MZvr6+/vTZ\n",
       "29vHotxut21ad3f779/19zX9RI1DV7ZdXrsYfKbLq5ZtF5cuBs/Pz18v2Bc8PDz8z/9+eXnZvtuV\n",
       "Lalnp7bBtJ9fyz6tZ9W1/64/1d92fa973pXlqmuftD13eadjvXte23Ayd5xu76uuvbq8a8x37yfl\n",
       "WqsfU0lf7PpGGuOubLu61nJ3ZUvmqW7+Tdugm4t2ZUvnjk7Na1eXrn1qvU7OuV1anVrPyTr1+PgY\n",
       "pXUyDrV9urR3z2tak5isNZuPq1qWru91ZX96evpy3mk9Ju1f85q2QdKmXUxr2bq4JHNROmd2v5/O\n",
       "D1eTfUrafmkcJvNzLXe3rk3mpVQStzTG073Ayf112m93Yyo9L3X1SNfvnZNn1nQ+vp5vP1PjkOwr\n",
       "q/R+JJk70vFcnZyPa9m69TQ543TtNT03TnRpp/cAu7idXAvW+uc+dSfdo56MeddP0/l+l97Jc+Fa\n",
       "WRym47U+T9p3atfX0j1s9zyZt9Lzz/Qu7Vr2yVz/ledVch96+l5g5/T9R9LXunqma+ju/bSef3KO\n",
       "nPbFJK1k/7RWNq91faNrz/SbQfJN6H/T/Ug1OX/VenXtld6HTsp2+i7mavrd5eSZteaVfgv5kNeX\n",
       "SwUAAAAAAADA/2k+IAMAAAAAAACw1vIBGQAAAAAAAIB3PiADAAAAAAAAsNbyARkAAAAAAACAd7e/\n",
       "/vrrbffC6+trlOD9/f2vF+Z2+/Dvu7v99+1JXtXLy8v2+dvbNkz/UOuy09Wza4OkjR4eHqK00npX\n",
       "1zh0MenqcTKmtb27tB8fH7+c97Qv1X7dvb/Lr8a0a/9OOh/s1HpN+lqN2bSv1bLs0kvL3fWPna5f\n",
       "V0m/PS2N8e+UtOdn7++kbVJdy/L8/Lx9tytXLUs6DyZpV11M6/NdXZK5vktrrX3Zaz/t+m3a3ifr\n",
       "OZX067pWnN4j7Zwcn52aVtf+3b7zWvaunF09033K7nmt1+nxvItLOqa6vHdlr3No12+7ONTnu/S6\n",
       "vpHur5N6TsfEdB27StfbZL/Wvdu1QS3brt7pPJTMDV166dzQ5TU5L6dz5LS9k7y6PVOSXrJHWSuf\n",
       "Qyfnp5rWpH8kY2CtvO/s6nl635/0pem+Ih1Tyf56uhdMztNpHLq4JG2ajoFJXGq/nva95PdpudO9\n",
       "w0Q6f5+8/+gkc8d0zCT94/SZ5E/ef6T3Ajs1Duk+ZCK9z5icWdO70rQ9d+P95HzbSefIk/fXXfvU\n",
       "uaCbI5P993Rfme4Vd+OgtsH029a17NN7m/S73K6e6dxxUtp3fucdU3UyDukdcjqer/wXyAAAAAAA\n",
       "AACstXxABgAAAAAAAOCdD8gAAAAAAAAArLV8QAYAAAAAAADgnQ/IAAAAAAAAAKy1fEAGAAAAAAAA\n",
       "4J0PyAAAAAAAAACstXxABgAAAAAAAODd7a+//nrbvXB/f79N4PX19WOCt9s+w83z+qxLq3N39/H7\n",
       "+Nvbz6u6e/aV54ka066eLy8v2+e1DXZtVmNSPT8/b59PdHl3caht8PT09NN3Hx8fv16w1Zeta/9r\n",
       "2bt3u/ZM+1pX9pN5176V5F2lc0c3F139+PFj+7zL6+Hh4cO/d3FJY5D286s0Zkm//Sz9JK0ah+mY\n",
       "uvbVybryWVl29eye17yma8P192k9OpM1tItR1cUh6bvpXDDpa7VcXb3TvJK+VNV5qNO1wXV9T8fU\n",
       "pC/VcnUx7J7XdWwX43TMTNs/kc4dXdl2bVTHzHQvkOyv076Trlu7Z92eNu2Lk3NELVvXBjvJfmit\n",
       "fD7f7aHTfcd0zFzTm/bbZF5L58iubF2bXZ9376ZtMNlD1bSmbVD74mRMVena8dVnn0nac63Z/jo9\n",
       "m5+8s0jH7y4uab/u2iS5H+n2U6f3vLu41d+ePEd00vU42XdM63HyjPO7Y7zL++Q+sUvv5Fhf6+wZ\n",
       "d3qPu/Mn721Pj5nJ3JGmdfrO4up0PZPxXNW14Nu3b6OyfbVcaVrd+2l7dmtqcv/R6eKQpHd6juxc\n",
       "yz7NO9nDdvnVZ91eb3I+Tp1so3QeSvvm/xbp3Vn6jW/3fnov0Nl++ziaEwAAAAAAAAD/v+UDMgAA\n",
       "AAAAAABrLR+QAQAAAAAAAHjnAzIAAAAAAAAAa621bv/+97+zv/zemPxR7PQPf3fv1z/+vXs/LXf3\n",
       "/u4PWdffdn+kvPuj2PUPam//6HWTV/3t9I+xX9Ob/jH2+vvJH1hP69m1wbUs0z/8Xst2sq91ZTs5\n",
       "BtO0unru1DEw7bc1vV2MHx8ft2nVmP/48SN6/6rW6+HhYZtWF4f6fNcGaft0fa17fh3vJ+ehr6S3\n",
       "m6vS8dm5lqVLqyt3Ws/d8+fn5+1vq26OTPpaulZM2jOdr9N+vcv79HqcjJO0L3V279eYdHnX+beq\n",
       "fW0Xxy6tpF+u1bf/dT3o2rdLK23/XV3rb9O4dM9P7gU6yV7+9Nqxk7Znsq+s0jmya+8k/XTuOLkX\n",
       "6OqdjrnJ2pD2raR/dPvKrp61bJM2SOfITtJ3T663qWk9qz+5D0n2V39yf52Oqek+JTlHdGmle+Ik\n",
       "DulesOrWkq+W67Pn073CVTqmurxP9vP0/DU5L6d3iruy13uAri91MT25RtYx05Vtd6eR7PvXOrv3\n",
       "T/vhdDxfdf02XTvSs/pOV4+np6cvp9Xlnd7TTvZvJ+/8v5J+klYdI926tMuru0Os0r44qWeXdtWN\n",
       "0WRvOL2Lq06e5TrXsqXnhE56jrxKx1T3PFn3Tu/tdtKz18l73dN3xNv91faXAAAAAAAAAPw/wwdk\n",
       "AAAAAAAAANZaPiADAAAAAAAA8M4HZAAAAAAAAADWWj4gAwAAAAAAAPDu9u3bt7fdC/f39/sEbrco\n",
       "w9fX158+u7v7+D17mnd9/vLy8tN3n5+ft2m9vX0MU5f3ruz12S4mv6KWNVHL0qVV26y6xiltr9+p\n",
       "9oUu766eV13Muue1LJO4pGl1fbGWfTemJmPkM0kbnB5Tu7qk7T0ZBzXeXUy6ONTf79L70/PU9Xky\n",
       "z/xKXtXj4+OX00rHzMR0/CbppWtBJ5lzk7HepfWV51e7Oe1X8tq1Sbq+Pjw8bN+frj1XXRyqXZvV\n",
       "mEz3dsmc2o2JWs8/uefp1LJP0qtppWtD5+T+bTKe0/U23Y/tzgpdWumeZ9dG6d4ujcOuLl3fSOuZ\n",
       "tMHT01OUdlXLPpk7kjPmWtncMh1PJ/f+9bdd+6dz6C5u6Xo8Ge+1XOnc0OU12UMl/bZz8kyy1j/7\n",
       "zq7Nur6T9I2vlC1Zx9Lxm9ZlJ51rqqRvdWn9zvuR0+elXd5pWumY2r2fppXut65qe03P6sn8cHoO\n",
       "/JN3bcmcenod6lzLfnoPO+lrad86WbbTd23Jnqdz8n4s3V+d3AtM17Rkzu2+u9RzRFfPLr1rG3Vn\n",
       "lK6e6f3ILr/kHvYrz69xOH1vd9Lpbz6Ts1w1idvp7y7VrmzpfDuZt/wXyAAAAAAAAACstXxABgAA\n",
       "AAAAAOCdD8gAAAAAAAAArLV8QAYAAAAAAADgnQ/IAAAAAAAAAKy11rr9/fffb7sX3t62j9ftdvvw\n",
       "79fX1+37u/RqWp3u/SS9+/v77fO7u+xb+y7vLkapmtck79o+Xb2fn5+/XLaHh4dRWrXsu7J1bd/1\n",
       "66or+/V5l3fXBk9PT9H7Sd/s0joZt3R8vry8bN/fPa/l6sZzKh3/V8n4XGvfRrWek/l2raxeXVo1\n",
       "5l3aydrS1bMbn5O8p2l1z6/9ero2TPppVdtzOq914/sq7TuT9kzXgtSuLl09T++JkjZI47LLu9Zz\n",
       "GvPa1yZ7nnR+Pjl3dO+eXMfq/mraBskYTPcC07kmSatbO+qYOXmG6SRjaroXSPb+aXtO18hEN8fV\n",
       "eu3qmca0G6+TPW7VtcG3b9+i93d5J/PtWvm6luRd1TZ4fHyM3t89O32O3PWPk+ttp64F0/11UpZ0\n",
       "Pe7GRBe3a9mn62l6/trF5XfPkclcUtWyJeeKaXul70/WqfT9JA7pHmZyn1lj1N2lpePg5J3lZMzU\n",
       "+Hf16PrO6bvYxMmzWDc/1zh1eSdxmZ5ha912ZTt5v/FZ3hNpX0z2IZ2Tc8fpPc/E6byudTs9d0za\n",
       "IL0fSdbE6RyYrqEnvxF0472WfZd3eqd4ch8znbd+573d5J7ef4EMAAAAAAAAwFrLB2QAAAAAAAAA\n",
       "3vmADAAAAAAAAMBaywdkAAAAAAAAAN75gAwAAAAAAADAWssHZAAAAAAAAADe+YAMAAAAAAAAwFrL\n",
       "B2QAAAAAAAAA3t3+9a9/ve1eeH193SZwf3+//ffE29u2aK3b7XYsr1qvLu1d3Gped3dnv+Pv6tKV\n",
       "u9bz5eXlSJm+knfX15K4dTFN+sZnee+ed2mnZfvPf/6zfX8Xt5pWV7Y0LjtdzGpe6Ri8qjHt+tLz\n",
       "8/P2eU1vMqbqbycxTueKbvzW57sYT8dvmt50/r+qcZvkXWPU9aVkzJ1e87q8d/2j/na6TtW67eqa\n",
       "xmESt3QP08Wh9odJPZN5aK2zY+rkWpA6uXak7TXdO1znwWkM03kr2a9N65mM5y6tp6enqGwnzxmd\n",
       "Wq9kv9Wl9b9pP3Zyn3J6/k7Kko6RXV/r9jSnx2dSz24M1LJP1sh0L9A9/51lm6RV56HpWS55/+R8\n",
       "u9a+f5wc65+lt+vn6bpz8jw9vc+o/XYyf9dn6Zm0Svp9mlaX9rXsp+8/JjGu7d3N52nZJ3ueKl1r\n",
       "Jml1kjZI59vJGDx5D/uZXV3Su/Dp3u6a3+k74vSudfcsPcNWSV9L43CyntM18uQe9nfuBaZ78eQu\n",
       "Nj2TdE7e+6dzR5f3yW8pST3/5BzZqWXpzjBdXidjWv03z97d813Zuvasz7s22O7lt78EAAAAAAAA\n",
       "4P8ZPiADAAAAAAAAsNbyARkAAAAAAACAdz4gAwAAAAAAALDWWuv2r3/9a/vXm0/+cee19n+w+eHh\n",
       "Ico7/WPRuz88nv5h+M4uvVqv7g+Bd2Wrz9Oy7n47/SPm1993aT0+Pn45rbXWenp62r6/U/th7XsT\n",
       "Xfy7fltj2qWX/CH5rg3ScZD086ldel1Mq66etT+k6e/ymsxrNa10bujs8k7Xgs5uLVjrY7/u0u7G\n",
       "SM0rGTNTXRtcY562V1Xj1PXbXdzStSCdW3Z5T8ZbKo1ZJ9nHpON30p71eToGkn5c1Rik47UzWWvS\n",
       "9k/moum8NdnLVbVek/b83U7uHaYxPhmHdMzt8q5jpKvH9DyVpJWuY8l8MG2v5+fnD/+ezM/1t928\n",
       "1Z0zkr1AOkZqvZP00vk7PUfsxkU3ZmpaJ8+/p8fULi7pPDNdW5J3T54j0jlwuu+81m06ptKzXDK3\n",
       "TPf+tQ1PrltJ2abtle7HdmWr8/F0XzFto53JGEzrle79dumn5T55lzLdqyfrWhezOq+dvJtJ7lk/\n",
       "k56ndtJzRPp80s/TNti1d3pP36l7v8leIPm2sda+/etvu3v1bh9Z00vy/t2S/XU3ZmobTPbX6Tec\n",
       "ZA6d7nnq88nZL91fp2tFcp/Zmexj0rkjnb8nc0cd3937uzOr/wIZAAAAAAAAgLWWD8gAAAAAAAAA\n",
       "vPMBGQAAAAAAAIC1lg/IAAAAAAAAALzzARkAAAAAAACAtdZat+/fv7/tXnh72z5e9/f35wpzu0V5\n",
       "1/c7u/Tu7s5+S399ff2lZ595eHjYPq/12tWzi2l93sWla4Nr2dO8u+fd+zu13F0/7vJ6eXn5adpd\n",
       "3unzXd5Vbb+uHl3frL9Py3qVzh3Pz89ffnfab5O5qIvZ75ynJmPgs/Qm7VnLkval6vr7x8fH7bvp\n",
       "/D2Zi6Yx36U3XU/TtWXX3mk9T+4VdnPaZ3md7LddPf6b63EnGQen+/Eu75pX177peJ/UpY6ZrmxJ\n",
       "P+7KNV2nqmT8n163dnXpYtqNqSqpZ1ePrg1qXifXhmnZkrS657We6VpyVcvdpdXV8xrX6bmwPt+9\n",
       "3+05a1m6uaEr2zW96f6pxjQdY0leVTfeT+ad3hucXPfSc+OuTSd7mNRkbH8m2Y+lY6SLS9LX0jmw\n",
       "Ssd7ktb0/XQc7NR6nZy3Tp6Hu/RqWZJ15leeT/Ka9M3T91kn54dati7t3fPT5/yTadWynWyD6T6x\n",
       "5tXtaybzd5LWZyZ3bbVsk35++nyczKmn7+l3z0+Oz688T3z79i1K+785r03uv373fmzybjp+k3pO\n",
       "1+Oa3q6sp7/xJfPUdN+Z3NOnY2Qyz/kvkAEAAAAAAABYa/mADAAAAAAAAMA7H5ABAAAAAAAAWGv5\n",
       "gAwAAAAAAADAOx+QAQAAAAAAAFhrrXX7/v372+6Ft7ft43V/f//h36+vr9v3u/R+p7u7n38vv91u\n",
       "v/zbz7y8vPz0WY1RjWGady37JMZp2TrXsnXlSsu962tdzGpeXfsnz9O8q1qvdAzu0uqkbTTJu6b1\n",
       "J+eGtL13ZXt+ft6m9fj4+OHf0/6RvJvOHcm81eU1bc/r79O8q669k/fTeiZt1L27a5+1/lnuyfyd\n",
       "zpHpPLV7fxqHxMPDQ5R2N95r/9j1zZNr3lck61TVlTUZY9N6JGU/Odd/RRrXxNPT0y//NumXa+Xt\n",
       "Pal3HVOTOTUtV5rXru/WuaQrW6eba5K0p8+vujkyXSPTuOyk+87JuTDdqydjpKtHt7bXsk/m3HRs\n",
       "n45bYrIXPLmv+Kwsu3p25U5jtmvv+ttu3jp9dt+pcZjeKSV9N63HZE+ctkEn6R9dTNM19Pp+l3ZX\n",
       "z5NzQzoHnoxLuqZNxlgt9+n7zMldWzXZh5y+t0v2dqf3w8l8P51/614hXZ930nUr/f1VGodJ3NK7\n",
       "k3Rumcxr6f56V7bJXP+ZWpbJnqqWZTref+fZfHLGSc55XVq1LKfrPBlTp++ckv6RznnpXmD3rBsD\n",
       "6dyRrJHd88nZ23+BDAAAAAAAAMBaywdkAAAAAAAAAN75gAwAAAAAAADAWssHZAAAAAAAAADe+YAM\n",
       "AAAAAAAAwFrLB2QAAAAAAAAA3vmADAAAAAAAAMBaywdkAAAAAAAAAN7d/vrrr7ftC7fbPoHmeeLu\n",
       "7uP37Le3bdHWy8tLlN6urPXdziQur6+vUd5dPbs4Xd3f33/53bXm7V/ruvP8/Bzlldblqparq0fX\n",
       "Rtc26N7tYnKybPW3Xd5dX0vGe9cvT84d1XRMpemdlIyZTjp+J/WsMe3a/+S8lc5Dk76ZrCtrZX2t\n",
       "K1fXN2pZJvN3Ond0edU2PNnPJ2mdjNlnZdm9//DwEKXV1TPp139yzFTdPHNyn5LOQ8m89LvVuePk\n",
       "eD5tl366t+v6R7K/ntY7bYPEZE493U9/53mpez/ZX0/PhfX5rg26cj0+Pn7493T9TurZ9cOT/aPG\n",
       "oVu30jhMynry7F6fdfNWl/fT09OHf59sk5N3M6f70i4uXcxqzKfjIOkf0z3u75SWbbeHSts7OcNM\n",
       "+2W6H9/FpdZj2ldOxiHdd+7SS89W6Z54F5cuJul+LNl3nL5jSvaVnek9YDLnpnmlZ/VduU63wZ88\n",
       "yyd5nd7zTPad6fl4V7b6LD2rVckYTc95Xb2Tea2r55+8B0i/CZ3c+6X755P3uunaUSXjPR1Tk3qm\n",
       "d6fpWrDLu4vpybs1/wUyAAAAAAAAAGstH5ABAAAAAAAAeOcDMgAAAAAAAABrLR+QAQAAAAAAAHh3\n",
       "++uvv7Z/KTr9Y93dH4NO/mD39A9P17x2fzw6/UPikz9i3pW7Sv/o9S79rtw1Dt0fEk//+Pfk3SRu\n",
       "yR+RX+vsH61P27fLazIO0n7d9bWa167Nurzr80lfenh42P626vKqbbDLu+u39Xn3ftJ3uxgn4697\n",
       "P22frh5JHKb1rGXpyvb8/PzTZ+mYSua1bvylcejy3qWXxqx7nswdab9Nx/NOmncn7S9XtV7Tdeqa\n",
       "3ul+vMv75eXlw7+n47mmt8u7WxvSvcJ/s69N8q4xn47n2gb137u807wmpmeSZE6dxnT6/k66fu/G\n",
       "TVqu6Zz69PT05bxPn3ES0/a6lqVrr25eO7kvHsUjAAAWbElEQVS/rs+mY6qWffd+l1edd0625588\n",
       "y6X9djKnXsfTCTWvyVrQpX36+dWfPOOc3n/V55N955+e33dpTfadaUxOnyMTk76UzlNpe52s56QN\n",
       "0r7RPa/n7d281cWgpjW9G72mN71LqTHf3W+slcVhemfRlSVJKzkXrpXdrU/PfckeKl3bu3qcXI+7\n",
       "92u9knuBKh3vSXt2aXX9suY1HaO7tKvkbH7yTLLWbBycnr+TO430O1pnF4da7q6fp+t3cm9bndxf\n",
       "+S+QAQAAAAAAAFhr+YAMAAAAAAAAwDsfkAEAAAAAAABYa/mADAAAAAAAAMA7H5ABAAAAAAAAWGut\n",
       "dfv3v//9tnvh7W37OHZ39/Nv1jWv19fXbVpd2e7v77+c98vLyzat2+22/XeilntXrs/er7o4XXXl\n",
       "Ttu7S+/h4eGX057o8qrPu3p0bTTJe5peUrZpXsn7XbnScndj9GoyPj8zqWctSzJeO3+ynp20LMn8\n",
       "Pu1Lte9M5sF07jjZRulakYyZLq20n3d27d+lVdf2Sb+t5ej6ZdoXd+ml7TNtg6SNakyfn5+37+/K\n",
       "ls6BJ9e80/uO2vcmeafz0Mk1dRqXWvZdX07b8/Rcs9P162S+T/d+k71/Lcd035mccdJyT8dz0len\n",
       "c0uilvv03n+nGwOPj48f/t3FJVmPp/NaMn67NbKO38ncke4r0r386f36qbym7ZlIx0AX4/9N++8q\n",
       "mb+napySM0yV7GHXOtvXTt5nVNO+Up93e4edOtdM+kP629Nn9Z06f0/WyGTvvdbZ8dqtQ6fvr69l\n",
       "v96j/kpaaV9L5o6T91mdrtzpPc/u+em1/XfuO//kfuvkmTWdC+qeNnWt28k17SuSMTU9R1xj3s2Z\n",
       "J+fItbJxMx0T9fe7uqbtefIufHL2+iy9k3ctk7nDf4EMAAAAAAAAwFrLB2QAAAAAAAAA3vmADAAA\n",
       "AAAAAMBaywdkAAAAAAAAAN75gAwAAAAAAADAWmut299///02SuB22/67enl5+XLad3f779vd89fX\n",
       "1w//fnv7eVV3zz7Lq6vnTpdX1eVVn+/ST2NW/52ml8SpezeJW/fu/f199H7SBl1ayRhI8+7y6tLq\n",
       "2ruqcZykdXJM7cr1FV2/TtSydf1j97zG9OR8u9Y+bqf7TpLedG6o9To5ptK1I8krfbeW5fn5+ctp\n",
       "V7Xck367Vr5XSPKatGetZzdm0npO5pL6226MJWtkOjdM+nFaj04S46enp21aNWbTuf9atmlatWxd\n",
       "3HZtUOfArv27sp/cj6XvT+aONK9k/U5jNqlHzWvaXkk90/E7PUdcTeb6tbK+ON1HVkncpuvtybLX\n",
       "ck/7WnKeTte89Iy7K8e0r9W8dnNuV8/anpN6ntw/pe+naU3XguvvT+6fviKJw3SOTOaWtN8me78u\n",
       "7XTu6NokGc9TyV1bJ72b2eX1+PgYlSvdR+7Wku6Mmc41uzky3U9P+2Ii7ben9xY7adl2cTt5x7DW\n",
       "P9vg4eHhl8q1Vl623ThI+8au3GtlbdCdzU7epdQYnTz3rTWbn799+xblncQhvf/odHnv+sfpfcc1\n",
       "vekcd/KbUJpWJxkHXfvU+bgr267/nLy3+ex5Mj//zrL5L5ABAAAAAAAAWGv5gAwAAAAAAADAOx+Q\n",
       "AQAAAAAAAFhr+YAMAAAAAAAAwDsfkAEAAAAAAABYa611+/79+9vuhdfX120C9/f3H/59d7f/Jv3y\n",
       "8vLlvG63W5R3VX//9vbzqqb1PKmrZ/d8V69pWl17Ju3dlTOpR/f+6fbqynaNaxeTP+n5+fm/lnca\n",
       "h24M7qR9J+3Xu3GTjqmuTXZzZDrfJv22yzudI7u4JNL2ndqVPe3XSf+YzvW79vvMri712WR8rpX1\n",
       "h7TfTvpH/W1Xz3TumOw7Uif3Askc2OV9evwm7Z/Ws9O12fX5dM+T9KVOOh+ncTs5Bid7qPQckfbr\n",
       "Pzmed07G7MTvd06O/989lyR51fbuYtidS675dWt5Ord0fXMXh3Rvl5btf8u8lu6vp3uFRD03dHk/\n",
       "PDz89NnpNe+/Wc/Otb2n63HtO+kd1NXptSK580jrmZie+07ODTXGp88wfzJOu/WgxujkneFa+76V\n",
       "jv2T7dmtkekd8sl7w+6eJ4lDV67uedrvd22a3jF0bVDTS+4kqpNzRy3XZK7/rCy7OE6/fSTppett\n",
       "sof97N8Tj4+P2+fdmLvG4U/Okd3z9D5rejZIpHNHcneazg1VesZJTPZItZ5dPU6uoem+YtJX/vd8\n",
       "6QIAAAAAAADgv8oHZAAAAAAAAADWWj4gAwAAAAAAAPDOB2QAAAAAAAAA1lo+IAMAAAAAAADwzgdk\n",
       "AAAAAAAAANZaPiADAAAAAAAA8O72/fv3t90Lb2/bx3mGt9uXn+3eXWutl5eX7fOHh4cP/97V5e5u\n",
       "/y09jUOX3tXr62uUdlXjtCtrmlfXBifj1pWtluX+/v7LaXdpTV3T6/plWs9JWWtZuvbo2rM+373f\n",
       "lfv5+Tl6PylXV8+ad1V/X+eSXd7p8y7v3bOuL53sa11Mf+cc2Un7TlfWXXo1ptO4XPNK26uqMe3e\n",
       "n6yJSVpr/bNuk7727du3D//ejc+19nNy2p7d/F6fT9f3q65NujUxGSfpnHpyrU/3Fbv3T+9huxgn\n",
       "+Z3eh+z65unxXE3Gc7rn+fHjx5fzmo6Z2lcne4G67+jGwa5stZ7TvV39fXJW63Tvd3Ho5tyrbi1I\n",
       "0j451tfq63lNbzpH1phPzmppX/tvnuUm69TpPWwt2y4uabm7MZXsYTuTvKo/Wc+vPL9K5plp3knf\n",
       "WCuP28n7rmT9Pnmu+0reyX3XdC9QndzzTOKW3vN0kr1/N2bS8bxbv2v7nDx7r7Ufg+l6PDl7d2lX\n",
       "6T3Q5Eya7tVPniM6k3krTTuV3J1O066Sfj2N2cnvEek+cXp3c5Wukd254+T++uSeJzU5q9VyPT4+\n",
       "Hi3Lrg3S/dXk++Pp83F6b3DSrmz+C2QAAAAAAAAA1lo+IAMAAAAAAADwzgdkAAAAAAAAANZaPiAD\n",
       "AAAAAAAA8M4HZAAAAAAAAADWWmvdvn///rZ94XbbJvD2tv15nF6SdpfW/f39sbxeX1+/nFanljuN\n",
       "YVV/n8S4urv7+P8pmKS11lovLy9fTqt7Xss2aZMas64Nat7Vw8PDl9/tyn2N2Vfe3z1P27N7Xss2\n",
       "6bv1t13cuudXtZypmtduLulikNZzV/a0Pbu+M517krL8N9NL+s5a+7j8N9e8dJ6arGvXOe0rTq6R\n",
       "XbnrGOnaN2mzdB1Kf5+oaU3ntUkbPT4+bp/vylbz7dqj27sl8+Dz8/M2rfrbaftdyzYdz+k+Jenn\n",
       "6ZxYJXHq+l1Nq3s/Kft0jTs5f6d26dVyTdtzknenez8Zo9P9dXL+StuzWzOT8ZucXz+T7tV3+dW0\n",
       "pueIk2fgdM+zK1tazzSvyRhNz/m753WMdPuKdM8z2WfU3073Y1fTfUc67yVzy3RvN50vdk6ugV09\n",
       "T+6f0zGT7jt2fS+dGyZj8OQd4Gd57eKS1nMyP5+uZ5J3uq+Y5DVNuzq5L03PJCedvntJ+tr07PU7\n",
       "v31M+kca05N7nnQ/dPJ71NPT0yitdL3dlT3dw568z0pN7q/Tfpve6+3i0p0xT84t6X3Xn/z2dfTs\n",
       "9cu/BAAAAAAAAOD/FB+QAQAAAAAAAFhr+YAMAAAAAAAAwDsfkAEAAAAAAABYa/mADAAAAAAAAMC7\n",
       "2/fv398mCdzdnfsG/fY2KsoovdvtFqXVvb97nsasyyvR5f36+vrh310MkzjUtNO0kjY42S+7vP7b\n",
       "np+ff/qsxmzaBklcX15evvzuWmvd399vn+/6Yq3XtL1qXpO5qcasq2diOmcmY6rrO6lkvHd5n57X\n",
       "dm1Uy92ldXJde3x83D6vZUvH4M4kZr+S3k463nd51WfTtaOWZVe2NAbT+fkatzRm07UjkcblT/al\n",
       "5HlXrjSmXfue3PecnO/T+buL8W5eqzF/eHjYptXNqTWvXV1O13On7vuma2Syrv3JetayTNOq69Rk\n",
       "fj65T+zKUqVtkO6RkrxStSy79Kdn0CS9ZO3u0vrMZO9fy7I796V5TWOcxOH02t7tcZM7iG6tSPvH\n",
       "Tjp3pM934/10G5zsa+ld28nzdNc/Tp7l0vbfxeHkHPhZepO7tppXMl4707164k/ff1xN54b0XJCs\n",
       "kdMzR43rJM6/s56n74An4zm95/md89afTGva15JzRNrek7Wj1uvkvcG0nrVvTcZB3V+dvr/+k/dA\n",
       "u75YY/Ynz4Wn0971Nf8FMgAAAAAAAABrLR+QAQAAAAAAAHjnAzIAAAAAAAAAay0fkAEAAAAAAAB4\n",
       "5wMyAAAAAAAAAGuttW7fvn17275wu20TuL+/j97feXt72/67e7+qZall3b1b3d19/Nb++voavb/T\n",
       "1aPL6+Xl5cO/d3XZxWCttR4eHqK8u+fXsnT1TGL2lbyTvLq4dM+vdavtsXv3M8/Pzx/+3fXN3fN0\n",
       "THX1TGLelbuWZTJ3pH2na6Naz129u7xrvdL3r2rMuvZI58hJG1ST8bnWx7JMYvaZrv2TvB4fH385\n",
       "rbU+xmk6305jflXrWdeG6uS8lo7n7v1dXGo50jHT5TWpZ02r67fpPibJu0t7V7Z0nknH865e6Zjp\n",
       "YpQ8T9fArmzTPfHVdK5P4paU67RpPZP1O51/u/G8y+v0vFVN1pLT7Z3sr7s9bBKHNKbTueMqOVt9\n",
       "potDkl+6X0rXyKSfT+32MafvIJL9+unz8U56jviT54K0nsleYlqPtH/spPN3mt5uzKbnqaSfT+8Y\n",
       "Tq5T6RqW3PNM0/qd9zwn54q19nU5OQeulZ2XpufhZI1Mx+f0Xvfk/cfv3PtN146kTdN9xWT9TsfU\n",
       "yRifPP926aX3sCf3Cmn7pHvaKvkekZrEJS3L6T3xTrrn+d96D5DmfXK8T88RtW/VvUNSrpPfSvwX\n",
       "yAAAAAAAAACstXxABgAAAAAAAOCdD8gAAAAAAAAArLV8QAYAAAAAAADgnQ/IAAAAAAAAAKy1fEAG\n",
       "AAAAAAAA4J0PyAAAAAAAAACstda6/fXXX2/bF263bQIvLy8f/n13t/8mvXte83p72xatfd6VJUmr\n",
       "6uKS5DWJ2Vprvb6+btO/SsvdxaXmvcsvaY+v5DVJL22Dh4eHL6dXx0TVxazq2myXXq1XV8+0vSfj\n",
       "oKaV9KVO116pXdm6mKUxSubISd/4zK4uafukc+ouvfv7+1FaaVmS96fr1FXXnl0cat+ZzN/1t137\n",
       "p3PLrq5dHJ6fn7dpV7u4pTGbttFVF9N0nZqOuatkX/HZ+1c1Zt383MUlWYe69qi/TefMXXq1n1Zd\n",
       "TGuc0r3gJO80Druypf02bf+rdI1Mn+/qko7nTrLHneZ9chwkMUtNx2fiT863Nb3T58JJ3Gpe3Zg5\n",
       "ud86ub/q3k/PS5O8qq590jPN7hxa18T0nqeq9dytuafvILqyXfObrgXV6bPfzsm9YleuyTniT87P\n",
       "a+3rko7f9Iw72QucXG/Te5kuLslZPl0LJvuU0+tQEvM0ptO7mWt63dzftWc9h3TnkmTcdGmdvNdL\n",
       "74EmeZ/eqydjKt3zTL6FJPcyX5G00el7uZPre1q2ybx2+vvTNb3p3JH2h9376RqX7O1+Jf1dWl3e\n",
       "J/e46T5lN+f+zjNp5b9ABgAAAAAAAGCt5QMyAAAAAAAAAO98QAYAAAAAAABgreUDMgAAAAAAAADv\n",
       "fEAGAAAAAAAAYK211u3bt29v2xdutyzB5v37+/svp/Xy8rJ9fne3//5dy7IrW5fW6+vrh3+/vW3D\n",
       "FsdtklaNaS3rV5+t9c96dXHpnndxSnR5TUzb69pXuxif7Btr7WNcn6XtX9WyJ+O5qr892VdO27VZ\n",
       "V+76vHt/F9Najq49O0nMu3fr+JyW7VrX0/NtWpffmdf1+fPz8/bdyXjr8q7S+XY6tyR5n55Dr6Z9\n",
       "rf7+ZFnTuWbndD2Senb9uKtH7WuTcVH7Wpd3N0avv+9ikvbzbk+8G4On9/K/0yTvtN/+yT1sbZ+T\n",
       "9ZzOmbVsk/12N0ZSSZzS/feunt14SyV98fT4m+zHTu/N/5vrd2I6d1Qnz+bdmpfE+OT5t5Oef6Zl\n",
       "u+bXxayrR53XJueIdN/RSdKb7r8murTTOXfXP+qzab1+533WJO3fvVfbtUl6LviTe7v0HJH0pc70\n",
       "HHktWzde07W9e3+XX3pvl7bRyb3jtH9cTc8Jp+f7U2mlZ+c0r8ncUT08PETvV9c2mJyl18rjsOs/\n",
       "6ZhK+tp0DNQ4TeaO0+vx09PTh38nMe5MypZ+L0zPrMk3n06X93YPG+UEAAAAAAAAwP9ZPiADAAAA\n",
       "AAAAsNbyARkAAAAAAACAdz4gAwAAAAAAALDW8gEZAAAAAAAAgHe3v//++233wv39/TaB19fXD/9+\n",
       "eXmJ3v9QmNtt+9vq7W1b9HV39/H7eJr+Lq8uLjuTckzT696tMdu111d0bZSoZXt+fj6WdhqX6hqn\n",
       "tF9O7fJL+1ra3ru6dHmf7Bs1r2netW+dHO+TMZW2ZzcfV5N6pnl14yCpa5rWyb7XpdW19/V5V+e0\n",
       "fSZlS2PWlT0Zo13Mal/r2n/3PJ2Pu7IlcUtj2pW1S+/6POmX07wfHh62v03SWisv287p9fjaZtN5\n",
       "pv5+suepaXVtksZlN57Tc8HpPXKSd1XjMFkjf+eeJx3PVW2jXT3TGHTt2ZXtGreTMex09axlObn3\n",
       "P13PyZ64Ppvur2scdnHp5o6Te//TdxBp/9ipYyTN+yqd007uebq0alm6dSrZK6R5T+3yq8/SPVKX\n",
       "3slzZheXk3ue37n2p2fUKqnbyfNQ9zydn7u+UfeZkznz5D4yfTfd2528I+4kdxbTvV26Du3G++/e\n",
       "fyXrVvU779r+5H4sPWuf3FecNqln2gZJXab3j/V5t7Ykd+VdWifjkM7fk3WqOn2nOMnr5LePdDye\n",
       "vO/83WeYD+WIcgIAAAAAAADg/ywfkAEAAAAAAABYa/mADAAAAAAAAMA7H5ABAAAAAAAAWGv5gAwA\n",
       "AAAAAADAu9v379/fRgncbtt/V29vP8/u9fU1yvvubv/9uz7f5Z2Wu3s/KddUjduubKfz7uLw8PDw\n",
       "P/97F/+11np5edk+T/pHWs+ubN3z+/v7//nfkzGw1j/rOSnbpJ9+RddmO6fb6L+lK9d1DKzVt8mu\n",
       "n6fzUBqzXZuk8/N1THym6zvXsk/bPh0HyTrV9eMuDte8uhin9Tg5/k+3waRstSxd2U726zqeq1qv\n",
       "ZDx3JvNtze/02rCL8e9ehybpp+ttN967/nH19PS0fZ7s7Tr1t1090jjs+nnXb9N6ndwLdnnX55Mz\n",
       "zO/cw3TrTNreu7pM17zq+fl5+/xalukZJuk76RhIxn6nK2far5P9VpdWumZ26e3ilo6p7v3d81qu\n",
       "rh+f3FdOz6CJdC3opPuxnXR/neyZp2veyfU4zfvkWe/0PdA173Tur9I9brLv7NaZtK+dvFOcnP3S\n",
       "eSvta7v00vuMydyQ3n+kZdu1/8m7lK88v54NpvvK3zlPndzzfJb+VTo3dPVO7gVO339Mzssnv0dU\n",
       "073d71yHpv38ml+61qdlSZyev6+md0an7w12aafPkzGattfJ7y7T8XlyvNf+kHzbqvwXyAAAAAAA\n",
       "AACstXxABgAAAAAAAOCdD8gAAAAAAAAArLV8QAYAAAAAAADgnQ/IAAAAAAAAAKy1fEAGAAAAAAAA\n",
       "4J0PyAAAAAAAAACstdb6/wA10mM1mz1CMgAAAABJRU5ErkJggg==\n",
       "\" transform=\"translate(290, 44)\"/>\n",
       "</g>\n",
       "</svg>\n"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "imshow(mean(image4D_zf, dims = 4)[..,1,1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Compressed Sensing"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Image reconstruction\n",
    "- **TV (Total Variance):** L1 norm of finite differences image\n",
    "- **Original problem** to be solved: *minimize* $\\lvert\\lvert \\Psi m \\rvert\\rvert_1$ *such that* $\\lvert\\lvert \\mathcal{F}_u m - y \\rvert\\rvert_2 < \\epsilon$\n",
    "  - it is an constrainted convex optimization problem\n",
    "- Consider the **unconstrainted problem** in **Lagrangian form**: $argmin_m \\lvert\\lvert\\mathcal{F}_u m - y \\rvert\\rvert_2^2 + \\lambda \\lvert\\lvert\\Psi m \\rvert\\rvert_1$, where $\\lambda$ is a regularization paramater that determines the trade-off between data consistency and sparsity\n",
    "  - if $\\lambda$ properly selected, then the two problem statements yield same results\n",
    "  - $\\lambda$ can be determined by trying many values and choosing one so that $\\lvert\\lvert\\mathcal{F}_u m - y \\rvert\\rvert_2 \\approx \\epsilon$\n",
    "- **Unconstrained problem then can be solved** by nonlinear conjugate gradient descent (CG) algorithm using $f(m) = argmin_m \\lvert\\lvert\\mathcal{F}_u m - y \\rvert\\rvert_2^2 + \\lambda \\lvert\\lvert\\Psi m \\rvert\\rvert_1$ as cost function\n",
    "- Computation of $\\mathcal{F}_u f(m)$\n",
    "  - $\\nabla f(m) = 2 \\mathcal{F}_u^*(\\mathcal{F}_u m - y) + \\lambda \\nabla \\lvert\\lvert \\Psi m \\rvert\\rvert_1$\n",
    "  - $\\mathcal{l}^1$ norm is sum of absolute values → Problem: absolute value funciton is not a smooth functions → equation above is not well-defined for all values of $m$\n",
    "  - Instead of absolute value function we use a smooth function: $\\lvert x \\rvert \\approx \\sqrt{x*x + \\mu}$, where $\\mu$ is a positive smoothing parameter\n",
    "    - With this approximation: $\\frac{d \\lvert x \\rvert}{dx} \\approx \\frac{x}{\\sqrt{x*x + \\mu}}$\n",
    "  - Let $W$ be a diagonal matrix with diagonal elements $w_i = \\sqrt{(\\Psi m)_i*(\\Psi m)_i + \\mu}$\n",
    "    - Then $\\nabla f(m) = 2 \\mathcal{F}_u^*(\\mathcal{F}_u m - y) + \\lambda \\Psi^* W^{-1} \\Psi m$\n",
    "  - In practice $\\mu \\in [10^{-15}, 10^{-6}]$ "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Smoothed L1 norm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "∇norm₁! (generic function with 1 method)"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "μ = real(imType(1e-15))\n",
    "abs_smooth(x) = sqrt(x * conj(x) + μ)\n",
    "norm₁(v) = sum(abs_smooth, v)\n",
    "∇norm₁!(v) = v ./= abs_smooth.(v)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "norm₂² (generic function with 1 method)"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "norm₂(x) = norm(x)\n",
    "norm₂²(x) = abs(vec(x)' * vec(x))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sparsifying transform"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "A  ℝ^(300, 224, 48, 4) -> ℝ^(512, 256, 64, 4) "
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "wt = wavelet(WT.Daubechies{4}(), WT.Filter, WT.Periodic)\n",
    "transformed_size = ((2 .^ (ceil.(Int, log2.(imSize[1:3]))))..., imSize[4])\n",
    "temp_wavelet = similar(image3D, transformed_size)\n",
    "oneTo(x) = 1:x\n",
    "Ψ = MyLinOp(imType, imSize, transformed_size,\n",
    "    (b, x) -> begin\n",
    "        img = PaddedView(0, x, size(b))\n",
    "        Threads.@threads for i in 1:imSize[4]\n",
    "            @views dwt!(b[..,i], img[..,i], wt)\n",
    "        end\n",
    "        b\n",
    "    end,\n",
    "    (b, x) -> begin\n",
    "        Threads.@threads for i in 1:imSize[4]\n",
    "            @views idwt!(temp_wavelet[..,i], x[..,i], wt)\n",
    "        end\n",
    "        b .= @view temp_wavelet[oneTo.(imSize)...]\n",
    "    end)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n",
       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n",
       "<defs>\n",
       "  <clipPath id=\"clip530\">\n",
       "    <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<path clip-path=\"url(#clip530)\" d=\"\n",
       "M0 1600 L2400 1600 L2400 0 L0 0  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<defs>\n",
       "  <clipPath id=\"clip531\">\n",
       "    <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<path clip-path=\"url(#clip530)\" d=\"\n",
       "M162.964 1313.22 L2352.76 1313.22 L2352.76 220.469 L162.964 220.469  Z\n",
       "  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<defs>\n",
       "  <clipPath id=\"clip532\">\n",
       "    <rect x=\"162\" y=\"220\" width=\"2191\" height=\"1094\"/>\n",
       "  </clipPath>\n",
       "</defs>\n",
       "<polyline clip-path=\"url(#clip532)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  587.209,220.469 587.209,1313.22 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip532)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1015.74,220.469 1015.74,1313.22 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip532)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1444.27,220.469 1444.27,1313.22 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip532)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  1872.8,220.469 1872.8,1313.22 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip532)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  2301.33,220.469 2301.33,1313.22 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip530)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  162.964,1313.22 2352.76,1313.22 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip530)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  587.209,1313.22 587.209,1300.11 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip530)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1015.74,1313.22 1015.74,1300.11 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip530)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1444.27,1313.22 1444.27,1300.11 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip530)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  1872.8,1313.22 1872.8,1300.11 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip530)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  2301.33,1313.22 2301.33,1300.11 \n",
       "  \"/>\n",
       "<path clip-path=\"url(#clip530)\" d=\"M 0 0 M550.578 1369.96 L558.216 1369.96 L558.216 1343.59 L549.906 1345.26 L549.906 1341 L558.17 1339.33 L562.846 1339.33 L562.846 1369.96 L570.485 1369.96 L570.485 1373.89 L550.578 1373.89 L550.578 1369.96 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip530)\" d=\"M 0 0 M585.554 1342.41 Q581.943 1342.41 580.114 1345.98 Q578.309 1349.52 578.309 1356.65 Q578.309 1363.76 580.114 1367.32 Q581.943 1370.86 585.554 1370.86 Q589.189 1370.86 590.994 1367.32 Q592.823 1363.76 592.823 1356.65 Q592.823 1349.52 590.994 1345.98 Q589.189 1342.41 585.554 1342.41 M585.554 1338.71 Q591.364 1338.71 594.42 1343.32 Q597.499 1347.9 597.499 1356.65 Q597.499 1365.38 594.42 1369.98 Q591.364 1374.57 585.554 1374.57 Q579.744 1374.57 576.665 1369.98 Q573.61 1365.38 573.61 1356.65 Q573.61 1347.9 576.665 1343.32 Q579.744 1338.71 585.554 1338.71 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip530)\" d=\"M 0 0 M612.568 1342.41 Q608.957 1342.41 607.128 1345.98 Q605.323 1349.52 605.323 1356.65 Q605.323 1363.76 607.128 1367.32 Q608.957 1370.86 612.568 1370.86 Q616.202 1370.86 618.008 1367.32 Q619.836 1363.76 619.836 1356.65 Q619.836 1349.52 618.008 1345.98 Q616.202 1342.41 612.568 1342.41 M612.568 1338.71 Q618.378 1338.71 621.434 1343.32 Q624.512 1347.9 624.512 1356.65 Q624.512 1365.38 621.434 1369.98 Q618.378 1374.57 612.568 1374.57 Q606.758 1374.57 603.679 1369.98 Q600.624 1365.38 600.624 1356.65 Q600.624 1347.9 603.679 1343.32 Q606.758 1338.71 612.568 1338.71 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip530)\" d=\"M 0 0 M983.379 1369.96 L999.698 1369.96 L999.698 1373.89 L977.754 1373.89 L977.754 1369.96 Q980.416 1367.2 984.999 1362.58 Q989.606 1357.92 990.786 1356.58 Q993.032 1354.06 993.911 1352.32 Q994.814 1350.56 994.814 1348.87 Q994.814 1346.12 992.87 1344.38 Q990.949 1342.64 987.847 1342.64 Q985.648 1342.64 983.194 1343.41 Q980.763 1344.17 977.986 1345.72 L977.986 1341 Q980.81 1339.87 983.263 1339.29 Q985.717 1338.71 987.754 1338.71 Q993.124 1338.71 996.319 1341.39 Q999.513 1344.08 999.513 1348.57 Q999.513 1350.7 998.703 1352.62 Q997.916 1354.52 995.81 1357.11 Q995.231 1357.78 992.129 1361 Q989.027 1364.2 983.379 1369.96 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip530)\" d=\"M 0 0 M1014.77 1342.41 Q1011.16 1342.41 1009.33 1345.98 Q1007.52 1349.52 1007.52 1356.65 Q1007.52 1363.76 1009.33 1367.32 Q1011.16 1370.86 1014.77 1370.86 Q1018.4 1370.86 1020.21 1367.32 Q1022.04 1363.76 1022.04 1356.65 Q1022.04 1349.52 1020.21 1345.98 Q1018.4 1342.41 1014.77 1342.41 M1014.77 1338.71 Q1020.58 1338.71 1023.63 1343.32 Q1026.71 1347.9 1026.71 1356.65 Q1026.71 1365.38 1023.63 1369.98 Q1020.58 1374.57 1014.77 1374.57 Q1008.96 1374.57 1005.88 1369.98 Q1002.82 1365.38 1002.82 1356.65 Q1002.82 1347.9 1005.88 1343.32 Q1008.96 1338.71 1014.77 1338.71 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip530)\" d=\"M 0 0 M1041.78 1342.41 Q1038.17 1342.41 1036.34 1345.98 Q1034.54 1349.52 1034.54 1356.65 Q1034.54 1363.76 1036.34 1367.32 Q1038.17 1370.86 1041.78 1370.86 Q1045.42 1370.86 1047.22 1367.32 Q1049.05 1363.76 1049.05 1356.65 Q1049.05 1349.52 1047.22 1345.98 Q1045.42 1342.41 1041.78 1342.41 M1041.78 1338.71 Q1047.59 1338.71 1050.65 1343.32 Q1053.73 1347.9 1053.73 1356.65 Q1053.73 1365.38 1050.65 1369.98 Q1047.59 1374.57 1041.78 1374.57 Q1035.97 1374.57 1032.89 1369.98 Q1029.84 1365.38 1029.84 1356.65 Q1029.84 1347.9 1032.89 1343.32 Q1035.97 1338.71 1041.78 1338.71 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip530)\" d=\"M 0 0 M1421.5 1355.26 Q1424.86 1355.98 1426.74 1358.25 Q1428.63 1360.52 1428.63 1363.85 Q1428.63 1368.96 1425.12 1371.77 Q1421.6 1374.57 1415.12 1374.57 Q1412.94 1374.57 1410.63 1374.13 Q1408.33 1373.71 1405.88 1372.85 L1405.88 1368.34 Q1407.82 1369.47 1410.14 1370.05 Q1412.45 1370.63 1414.98 1370.63 Q1419.38 1370.63 1421.67 1368.89 Q1423.98 1367.16 1423.98 1363.85 Q1423.98 1360.79 1421.83 1359.08 Q1419.7 1357.34 1415.88 1357.34 L1411.85 1357.34 L1411.85 1353.5 L1416.06 1353.5 Q1419.51 1353.5 1421.34 1352.14 Q1423.17 1350.75 1423.17 1348.15 Q1423.17 1345.49 1421.27 1344.08 Q1419.4 1342.64 1415.88 1342.64 Q1413.96 1342.64 1411.76 1343.06 Q1409.56 1343.48 1406.92 1344.36 L1406.92 1340.19 Q1409.58 1339.45 1411.9 1339.08 Q1414.24 1338.71 1416.3 1338.71 Q1421.62 1338.71 1424.72 1341.14 Q1427.82 1343.55 1427.82 1347.67 Q1427.82 1350.54 1426.18 1352.53 Q1424.54 1354.5 1421.5 1355.26 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip530)\" d=\"M 0 0 M1443.7 1342.41 Q1440.09 1342.41 1438.26 1345.98 Q1436.46 1349.52 1436.46 1356.65 Q1436.46 1363.76 1438.26 1367.32 Q1440.09 1370.86 1443.7 1370.86 Q1447.34 1370.86 1449.14 1367.32 Q1450.97 1363.76 1450.97 1356.65 Q1450.97 1349.52 1449.14 1345.98 Q1447.34 1342.41 1443.7 1342.41 M1443.7 1338.71 Q1449.51 1338.71 1452.57 1343.32 Q1455.65 1347.9 1455.65 1356.65 Q1455.65 1365.38 1452.57 1369.98 Q1449.51 1374.57 1443.7 1374.57 Q1437.89 1374.57 1434.81 1369.98 Q1431.76 1365.38 1431.76 1356.65 Q1431.76 1347.9 1434.81 1343.32 Q1437.89 1338.71 1443.7 1338.71 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip530)\" d=\"M 0 0 M1470.72 1342.41 Q1467.11 1342.41 1465.28 1345.98 Q1463.47 1349.52 1463.47 1356.65 Q1463.47 1363.76 1465.28 1367.32 Q1467.11 1370.86 1470.72 1370.86 Q1474.35 1370.86 1476.16 1367.32 Q1477.99 1363.76 1477.99 1356.65 Q1477.99 1349.52 1476.16 1345.98 Q1474.35 1342.41 1470.72 1342.41 M1470.72 1338.71 Q1476.53 1338.71 1479.58 1343.32 Q1482.66 1347.9 1482.66 1356.65 Q1482.66 1365.38 1479.58 1369.98 Q1476.53 1374.57 1470.72 1374.57 Q1464.91 1374.57 1461.83 1369.98 Q1458.77 1365.38 1458.77 1356.65 Q1458.77 1347.9 1461.83 1343.32 Q1464.91 1338.71 1470.72 1338.71 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip530)\" d=\"M 0 0 M1848.8 1343.41 L1836.99 1361.86 L1848.8 1361.86 L1848.8 1343.41 M1847.57 1339.33 L1853.45 1339.33 L1853.45 1361.86 L1858.38 1361.86 L1858.38 1365.75 L1853.45 1365.75 L1853.45 1373.89 L1848.8 1373.89 L1848.8 1365.75 L1833.2 1365.75 L1833.2 1361.23 L1847.57 1339.33 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip530)\" d=\"M 0 0 M1873.45 1342.41 Q1869.84 1342.41 1868.01 1345.98 Q1866.2 1349.52 1866.2 1356.65 Q1866.2 1363.76 1868.01 1367.32 Q1869.84 1370.86 1873.45 1370.86 Q1877.08 1370.86 1878.89 1367.32 Q1880.72 1363.76 1880.72 1356.65 Q1880.72 1349.52 1878.89 1345.98 Q1877.08 1342.41 1873.45 1342.41 M1873.45 1338.71 Q1879.26 1338.71 1882.32 1343.32 Q1885.39 1347.9 1885.39 1356.65 Q1885.39 1365.38 1882.32 1369.98 Q1879.26 1374.57 1873.45 1374.57 Q1867.64 1374.57 1864.56 1369.98 Q1861.51 1365.38 1861.51 1356.65 Q1861.51 1347.9 1864.56 1343.32 Q1867.64 1338.71 1873.45 1338.71 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip530)\" d=\"M 0 0 M1900.46 1342.41 Q1896.85 1342.41 1895.02 1345.98 Q1893.22 1349.52 1893.22 1356.65 Q1893.22 1363.76 1895.02 1367.32 Q1896.85 1370.86 1900.46 1370.86 Q1904.1 1370.86 1905.9 1367.32 Q1907.73 1363.76 1907.73 1356.65 Q1907.73 1349.52 1905.9 1345.98 Q1904.1 1342.41 1900.46 1342.41 M1900.46 1338.71 Q1906.27 1338.71 1909.33 1343.32 Q1912.41 1347.9 1912.41 1356.65 Q1912.41 1365.38 1909.33 1369.98 Q1906.27 1374.57 1900.46 1374.57 Q1894.65 1374.57 1891.57 1369.98 Q1888.52 1365.38 1888.52 1356.65 Q1888.52 1347.9 1891.57 1343.32 Q1894.65 1338.71 1900.46 1338.71 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip530)\" d=\"M 0 0 M2264.6 1339.33 L2282.95 1339.33 L2282.95 1343.27 L2268.88 1343.27 L2268.88 1351.74 Q2269.9 1351.39 2270.92 1351.23 Q2271.93 1351.05 2272.95 1351.05 Q2278.74 1351.05 2282.12 1354.22 Q2285.5 1357.39 2285.5 1362.81 Q2285.5 1368.39 2282.03 1371.49 Q2278.55 1374.57 2272.24 1374.57 Q2270.06 1374.57 2267.79 1374.2 Q2265.55 1373.83 2263.14 1373.08 L2263.14 1368.39 Q2265.22 1369.52 2267.44 1370.08 Q2269.67 1370.63 2272.14 1370.63 Q2276.15 1370.63 2278.49 1368.52 Q2280.82 1366.42 2280.82 1362.81 Q2280.82 1359.2 2278.49 1357.09 Q2276.15 1354.98 2272.14 1354.98 Q2270.27 1354.98 2268.39 1355.4 Q2266.54 1355.82 2264.6 1356.7 L2264.6 1339.33 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip530)\" d=\"M 0 0 M2300.57 1342.41 Q2296.96 1342.41 2295.13 1345.98 Q2293.32 1349.52 2293.32 1356.65 Q2293.32 1363.76 2295.13 1367.32 Q2296.96 1370.86 2300.57 1370.86 Q2304.2 1370.86 2306.01 1367.32 Q2307.84 1363.76 2307.84 1356.65 Q2307.84 1349.52 2306.01 1345.98 Q2304.2 1342.41 2300.57 1342.41 M2300.57 1338.71 Q2306.38 1338.71 2309.43 1343.32 Q2312.51 1347.9 2312.51 1356.65 Q2312.51 1365.38 2309.43 1369.98 Q2306.38 1374.57 2300.57 1374.57 Q2294.76 1374.57 2291.68 1369.98 Q2288.62 1365.38 2288.62 1356.65 Q2288.62 1347.9 2291.68 1343.32 Q2294.76 1338.71 2300.57 1338.71 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip530)\" d=\"M 0 0 M2327.58 1342.41 Q2323.97 1342.41 2322.14 1345.98 Q2320.34 1349.52 2320.34 1356.65 Q2320.34 1363.76 2322.14 1367.32 Q2323.97 1370.86 2327.58 1370.86 Q2331.22 1370.86 2333.02 1367.32 Q2334.85 1363.76 2334.85 1356.65 Q2334.85 1349.52 2333.02 1345.98 Q2331.22 1342.41 2327.58 1342.41 M2327.58 1338.71 Q2333.39 1338.71 2336.45 1343.32 Q2339.53 1347.9 2339.53 1356.65 Q2339.53 1365.38 2336.45 1369.98 Q2333.39 1374.57 2327.58 1374.57 Q2321.77 1374.57 2318.69 1369.98 Q2315.64 1365.38 2315.64 1356.65 Q2315.64 1347.9 2318.69 1343.32 Q2321.77 1338.71 2327.58 1338.71 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><polyline clip-path=\"url(#clip532)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  162.964,430.449 2352.76,430.449 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip532)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  162.964,644.715 2352.76,644.715 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip532)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  162.964,858.98 2352.76,858.98 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip532)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  162.964,1073.25 2352.76,1073.25 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip532)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n",
       "  162.964,1287.51 2352.76,1287.51 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip530)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  162.964,220.469 162.964,1313.22 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip530)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  162.964,430.449 189.241,430.449 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip530)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  162.964,644.715 189.241,644.715 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip530)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  162.964,858.98 189.241,858.98 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip530)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  162.964,1073.25 189.241,1073.25 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip530)\" style=\"stroke:#000000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
       "  162.964,1287.51 189.241,1287.51 \n",
       "  \"/>\n",
       "<path clip-path=\"url(#clip530)\" d=\"M 0 0 M79.0475 413.169 L97.4039 413.169 L97.4039 417.105 L83.3299 417.105 L83.3299 425.577 Q84.3484 425.229 85.3669 425.067 Q86.3855 424.882 87.404 424.882 Q93.191 424.882 96.5706 428.054 Q99.9502 431.225 99.9502 436.641 Q99.9502 442.22 96.478 445.322 Q93.0058 448.401 86.6864 448.401 Q84.5105 448.401 82.242 448.03 Q79.9966 447.66 77.5892 446.919 L77.5892 442.22 Q79.6725 443.354 81.8947 443.91 Q84.1169 444.465 86.5938 444.465 Q90.5984 444.465 92.9363 442.359 Q95.2743 440.253 95.2743 436.641 Q95.2743 433.03 92.9363 430.924 Q90.5984 428.817 86.5938 428.817 Q84.7188 428.817 82.8438 429.234 Q80.992 429.651 79.0475 430.53 L79.0475 413.169 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip530)\" d=\"M 0 0 M115.02 416.248 Q111.408 416.248 109.58 419.813 Q107.774 423.355 107.774 430.484 Q107.774 437.591 109.58 441.155 Q111.408 444.697 115.02 444.697 Q118.654 444.697 120.459 441.155 Q122.288 437.591 122.288 430.484 Q122.288 423.355 120.459 419.813 Q118.654 416.248 115.02 416.248 M115.02 412.544 Q120.83 412.544 123.885 417.151 Q126.964 421.734 126.964 430.484 Q126.964 439.211 123.885 443.817 Q120.83 448.401 115.02 448.401 Q109.209 448.401 106.131 443.817 Q103.075 439.211 103.075 430.484 Q103.075 421.734 106.131 417.151 Q109.209 412.544 115.02 412.544 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip530)\" d=\"M 0 0 M53.0292 658.06 L60.668 658.06 L60.668 631.694 L52.3579 633.361 L52.3579 629.101 L60.6217 627.435 L65.2976 627.435 L65.2976 658.06 L72.9365 658.06 L72.9365 661.995 L53.0292 661.995 L53.0292 658.06 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip530)\" d=\"M 0 0 M88.0058 630.513 Q84.3947 630.513 82.566 634.078 Q80.7605 637.62 80.7605 644.749 Q80.7605 651.856 82.566 655.421 Q84.3947 658.962 88.0058 658.962 Q91.6401 658.962 93.4456 655.421 Q95.2743 651.856 95.2743 644.749 Q95.2743 637.62 93.4456 634.078 Q91.6401 630.513 88.0058 630.513 M88.0058 626.81 Q93.816 626.81 96.8715 631.416 Q99.9502 635.999 99.9502 644.749 Q99.9502 653.476 96.8715 658.083 Q93.816 662.666 88.0058 662.666 Q82.1957 662.666 79.117 658.083 Q76.0614 653.476 76.0614 644.749 Q76.0614 635.999 79.117 631.416 Q82.1957 626.81 88.0058 626.81 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip530)\" d=\"M 0 0 M115.02 630.513 Q111.408 630.513 109.58 634.078 Q107.774 637.62 107.774 644.749 Q107.774 651.856 109.58 655.421 Q111.408 658.962 115.02 658.962 Q118.654 658.962 120.459 655.421 Q122.288 651.856 122.288 644.749 Q122.288 637.62 120.459 634.078 Q118.654 630.513 115.02 630.513 M115.02 626.81 Q120.83 626.81 123.885 631.416 Q126.964 635.999 126.964 644.749 Q126.964 653.476 123.885 658.083 Q120.83 662.666 115.02 662.666 Q109.209 662.666 106.131 658.083 Q103.075 653.476 103.075 644.749 Q103.075 635.999 106.131 631.416 Q109.209 626.81 115.02 626.81 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip530)\" d=\"M 0 0 M54.0245 872.325 L61.6634 872.325 L61.6634 845.959 L53.3532 847.626 L53.3532 843.367 L61.6171 841.7 L66.293 841.7 L66.293 872.325 L73.9318 872.325 L73.9318 876.26 L54.0245 876.26 L54.0245 872.325 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip530)\" d=\"M 0 0 M79.0475 841.7 L97.4039 841.7 L97.4039 845.635 L83.3299 845.635 L83.3299 854.107 Q84.3484 853.76 85.3669 853.598 Q86.3855 853.413 87.404 853.413 Q93.191 853.413 96.5706 856.584 Q99.9502 859.756 99.9502 865.172 Q99.9502 870.751 96.478 873.853 Q93.0058 876.931 86.6864 876.931 Q84.5105 876.931 82.242 876.561 Q79.9966 876.191 77.5892 875.45 L77.5892 870.751 Q79.6725 871.885 81.8947 872.441 Q84.1169 872.996 86.5938 872.996 Q90.5984 872.996 92.9363 870.89 Q95.2743 868.783 95.2743 865.172 Q95.2743 861.561 92.9363 859.455 Q90.5984 857.348 86.5938 857.348 Q84.7188 857.348 82.8438 857.765 Q80.992 858.181 79.0475 859.061 L79.0475 841.7 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip530)\" d=\"M 0 0 M115.02 844.779 Q111.408 844.779 109.58 848.344 Q107.774 851.885 107.774 859.015 Q107.774 866.121 109.58 869.686 Q111.408 873.228 115.02 873.228 Q118.654 873.228 120.459 869.686 Q122.288 866.121 122.288 859.015 Q122.288 851.885 120.459 848.344 Q118.654 844.779 115.02 844.779 M115.02 841.075 Q120.83 841.075 123.885 845.682 Q126.964 850.265 126.964 859.015 Q126.964 867.742 123.885 872.348 Q120.83 876.931 115.02 876.931 Q109.209 876.931 106.131 872.348 Q103.075 867.742 103.075 859.015 Q103.075 850.265 106.131 845.682 Q109.209 841.075 115.02 841.075 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip530)\" d=\"M 0 0 M56.6171 1086.59 L72.9365 1086.59 L72.9365 1090.53 L50.9921 1090.53 L50.9921 1086.59 Q53.6541 1083.84 58.2375 1079.21 Q62.8439 1074.55 64.0245 1073.21 Q66.2698 1070.69 67.1494 1068.95 Q68.0522 1067.19 68.0522 1065.5 Q68.0522 1062.75 66.1078 1061.01 Q64.1865 1059.28 61.0847 1059.28 Q58.8856 1059.28 56.4319 1060.04 Q54.0014 1060.8 51.2236 1062.35 L51.2236 1057.63 Q54.0477 1056.5 56.5014 1055.92 Q58.955 1055.34 60.9921 1055.34 Q66.3624 1055.34 69.5568 1058.03 Q72.7513 1060.71 72.7513 1065.2 Q72.7513 1067.33 71.9411 1069.25 Q71.1541 1071.15 69.0476 1073.74 Q68.4689 1074.41 65.367 1077.63 Q62.2652 1080.83 56.6171 1086.59 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip530)\" d=\"M 0 0 M88.0058 1059.04 Q84.3947 1059.04 82.566 1062.61 Q80.7605 1066.15 80.7605 1073.28 Q80.7605 1080.39 82.566 1083.95 Q84.3947 1087.49 88.0058 1087.49 Q91.6401 1087.49 93.4456 1083.95 Q95.2743 1080.39 95.2743 1073.28 Q95.2743 1066.15 93.4456 1062.61 Q91.6401 1059.04 88.0058 1059.04 M88.0058 1055.34 Q93.816 1055.34 96.8715 1059.95 Q99.9502 1064.53 99.9502 1073.28 Q99.9502 1082.01 96.8715 1086.61 Q93.816 1091.2 88.0058 1091.2 Q82.1957 1091.2 79.117 1086.61 Q76.0614 1082.01 76.0614 1073.28 Q76.0614 1064.53 79.117 1059.95 Q82.1957 1055.34 88.0058 1055.34 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip530)\" d=\"M 0 0 M115.02 1059.04 Q111.408 1059.04 109.58 1062.61 Q107.774 1066.15 107.774 1073.28 Q107.774 1080.39 109.58 1083.95 Q111.408 1087.49 115.02 1087.49 Q118.654 1087.49 120.459 1083.95 Q122.288 1080.39 122.288 1073.28 Q122.288 1066.15 120.459 1062.61 Q118.654 1059.04 115.02 1059.04 M115.02 1055.34 Q120.83 1055.34 123.885 1059.95 Q126.964 1064.53 126.964 1073.28 Q126.964 1082.01 123.885 1086.61 Q120.83 1091.2 115.02 1091.2 Q109.209 1091.2 106.131 1086.61 Q103.075 1082.01 103.075 1073.28 Q103.075 1064.53 106.131 1059.95 Q109.209 1055.34 115.02 1055.34 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip530)\" d=\"M 0 0 M57.6125 1300.86 L73.9318 1300.86 L73.9318 1304.79 L51.9875 1304.79 L51.9875 1300.86 Q54.6495 1298.1 59.2328 1293.47 Q63.8393 1288.82 65.0198 1287.48 Q67.2652 1284.95 68.1448 1283.22 Q69.0476 1281.46 69.0476 1279.77 Q69.0476 1277.01 67.1032 1275.28 Q65.1819 1273.54 62.08 1273.54 Q59.881 1273.54 57.4273 1274.3 Q54.9967 1275.07 52.219 1276.62 L52.219 1271.9 Q55.043 1270.76 57.4967 1270.18 Q59.9504 1269.61 61.9874 1269.61 Q67.3578 1269.61 70.5522 1272.29 Q73.7466 1274.98 73.7466 1279.47 Q73.7466 1281.6 72.9365 1283.52 Q72.1494 1285.42 70.0429 1288.01 Q69.4642 1288.68 66.3624 1291.9 Q63.2606 1295.09 57.6125 1300.86 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip530)\" d=\"M 0 0 M79.0475 1270.23 L97.4039 1270.23 L97.4039 1274.17 L83.3299 1274.17 L83.3299 1282.64 Q84.3484 1282.29 85.3669 1282.13 Q86.3855 1281.94 87.404 1281.94 Q93.191 1281.94 96.5706 1285.11 Q99.9502 1288.29 99.9502 1293.7 Q99.9502 1299.28 96.478 1302.38 Q93.0058 1305.46 86.6864 1305.46 Q84.5105 1305.46 82.242 1305.09 Q79.9966 1304.72 77.5892 1303.98 L77.5892 1299.28 Q79.6725 1300.42 81.8947 1300.97 Q84.1169 1301.53 86.5938 1301.53 Q90.5984 1301.53 92.9363 1299.42 Q95.2743 1297.31 95.2743 1293.7 Q95.2743 1290.09 92.9363 1287.99 Q90.5984 1285.88 86.5938 1285.88 Q84.7188 1285.88 82.8438 1286.3 Q80.992 1286.71 79.0475 1287.59 L79.0475 1270.23 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><path clip-path=\"url(#clip530)\" d=\"M 0 0 M115.02 1273.31 Q111.408 1273.31 109.58 1276.87 Q107.774 1280.42 107.774 1287.55 Q107.774 1294.65 109.58 1298.22 Q111.408 1301.76 115.02 1301.76 Q118.654 1301.76 120.459 1298.22 Q122.288 1294.65 122.288 1287.55 Q122.288 1280.42 120.459 1276.87 Q118.654 1273.31 115.02 1273.31 M115.02 1269.61 Q120.83 1269.61 123.885 1274.21 Q126.964 1278.8 126.964 1287.55 Q126.964 1296.27 123.885 1300.88 Q120.83 1305.46 115.02 1305.46 Q109.209 1305.46 106.131 1300.88 Q103.075 1296.27 103.075 1287.55 Q103.075 1278.8 106.131 1274.21 Q109.209 1269.61 115.02 1269.61 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" /><g clip-path=\"url(#clip532)\">\n",
       "<image width=\"2194\" height=\"1097\" xlink:href=\"data:image/png;base64,\n",
       "iVBORw0KGgoAAAANSUhEUgAACJIAAARJCAYAAACYDro0AAAgAElEQVR4nOzdeYyeV3n//2vssWdf\n",
       "vNtjO46zEsqWBAooNCVJQ2mhIqik0DaCqoJWAqH0jyqolKVREYhAqagEFNGqbQSiVSGUtQ0JJgkQ\n",
       "t4kxCXEgdoIdHNuxPePx7IvX7z/W7+frcy6e68wTJxkn79d/1zP3Ofe5z34/Hs9pOXny5El7Gtxx\n",
       "xx0uvvbaa9M0W7dudfFll13m4ptuuqlIc8sttzRRusa+9rWvuXjTpk3FNTt37nTxeeed5+ItW7a4\n",
       "+MSJE0Uejz76qIsvvPDChnmYmR0/ftzFDzzwgIvf8Y53uHjbtm1FHlqWrq6uhuUyM3vve9/r4gUL\n",
       "Frj44YcfdvHu3buLPCYnJ128cOFCF7e0tBRptGzT09MuPnLkiIsXLVpU5BHle7qjR48Wn2nZsjyj\n",
       "6/v7+12s7bt58+aG9/hVZXs2aL2+9a1vLa658847XTw+Pu7iqampIk1PT4+L29raXDw2NuZibW8z\n",
       "s9bWVhfrlKZjxixvP613vUeUh46r6L46bjRfLcfs7Gyah5Yjuq/WSZZHNGaOHTs2pzzNyufRNFpn\n",
       "0XK0ePHihmVbsWJFkUbzOXjwoIu1fZ+mZRAi6iPnnHOOi0dGRlys84hZ2cc1X+130fqrn2X9zKyc\n",
       "f7J5I3peva9eo+Uwi+eBRnlEz6tl1fHc3t5epNHn1XGSjW+zfG6pmZ+1TvT59FmistSM8Wj/cLqs\n",
       "35nlfSAqh9aj3ier9+izmjrSetb1V/td9LxZPUfPq/fR59U4GovZ+hvVkabJ1qPoebUeNc8ojfYr\n",
       "rdeOjo40D02jdRSNeQBzo+tgNH81816WzT3Ze6pZPsZr5slm5ussz2jd1HlS13Ctw+jZsn1NzVqa\n",
       "ifLI1ttoz6KyPUvN+6FeU7M3zN5ta/YBNbL3v5r3Q5U9v1nZ17J3uejZsrJEabI9mbZNzZ60mTGf\n",
       "1Ws0FrP3lmgM1OyFTlezj6/pA1r+mZmZhnnWfGdQM/aytqmZA7LnjeamrP/qd0Q147dmTq/5DvN0\n",
       "UdtlY6JG1ieiPLN1oZn3Bf15VM9Px301z6g+tA9k3wfU5KvlqPnOoGYMzPX96Ol6b6n5Dkhp2fRZ\n",
       "9L3VLB+/fLcIAHiuynf1AAAAAAAAAAAAAAAAeF7gF0kAAAAAAAAAAAAAAABgZvwiCQAAAAAAAAAA\n",
       "AAAAAE7hF0kAAAAAAAAAAAAAAABgZmatT1fGv/mbvznnNJdddlnDn99yyy3FZ1dffbWLN23aNOf7\n",
       "qje/+c0NYzOziy++2MXf/va3XXzBBRe4+POf/3yRx8MPP9wwj40bN6ZlPXLkiIsXL16cplELFy50\n",
       "8Zo1a4prjh8/7uL29nYXt7S0uHjRokVFHl1dXS7u6+trmIeZ2aFDh1zc0dHh4ra2NhevXbu2yGNy\n",
       "ctLFg4ODaVlXrlzp4hMnTrh47969Ll6xYkWRh9aZxmezkydPFp9pP9I4at/smpp+pWOg5r5afo1b\n",
       "W/3UGLXdggX+9/A0j+i+mkb71dGjR4s0qpl+pHWieWTPYlY+T00dHTt2rGG5NE8tp5nZ7Oysi3Ue\n",
       "qRE9D+YHbXMdAzpGojTZz6P21z6vfTUav9rntaw6P0V56DiJnk9p+bO5Nnpe/UyfPxq/WrboeRpd\n",
       "H6XJ5t6obDoH1NSzlkXbLpqb9LOszjSOPsvyMMvn9CiN0rJrmpr1SNdSFbWvPp+2TfRsOm6a6Zt6\n",
       "je59s7UnomWv6c/Z2mpW1ms29+i+FsAzo2avONd1MUqj65GqWdNq3jl0PtJ5Uuemmvc0nZ90fY7K\n",
       "lr1zRPNmliZ6H9Q60jxq2kpl74fRNdl9oz1stgeN1rRs75e1f5RvTf/O9kI1+9zsnTJ6H872aDX1\n",
       "nIn64lzX/ei+2V6/5l1gru1dc03Un7O2yN5JomtUlKbmO5Asj6w/R/NGVlbNI9qTZ+82NXvSZt5L\n",
       "9TMta03bZO9pUbvMdQ6I7pPNx1GdZfv0KE32PlTznqb30bk0Gr9aFm2LmjE/MzPj4po1TK/J3jGj\n",
       "/p+tAzXvZTXfLapm9ijZ/qrme6WacaOyfgQAwHMVf5EEAAAAAAAAAAAAAAAAZsYvkgAAAAAAAAAA\n",
       "AAAAAOAUfpEEAAAAAAAAAAAAAAAAZmbW+JDep+DWW2918Tvf+c6nnOcnP/nJ4rP7779/Tnnccsst\n",
       "xWc33XSTi9/1rne5+Atf+EKRZvv27S7u7+938ate9SoXb968uchjYmLCxbfffntQYu/iiy928c03\n",
       "39zw5z/5yU/SPGuMjIy4+MCBAy4eHR11cXSe5vnnn+/itWvXujg6W1Dvo2cx79y508UveclLijy0\n",
       "bD/96U9d3NfXV6TRM6DPOeccF2t7P/nkk0Ue09PTLl66dKmLa85Yna+icup5mXquZXQmpfaT7Axs\n",
       "HTPRNTVnjs71XNaorbI8o3OHNV+9puY8XFVzBml2vm929qtZ2Z7a3jV9N6ujmjNXVU17Y/7SPq/z\n",
       "cTQG9Mzg7DznKA+dN2rOIc7Gb3ZO76/K93S6xpnl56LXyM77rTmLOjufPjp7PDvzvGYd1Hx1Lorq\n",
       "OTufvOYMbN0HaNtEbdXe3u5irfepqakiTTYfax41Z62rmrWko6PDxbqHiepsrmee15StmTyyfmaW\n",
       "r4M1eWhbaFlrzqPXa7Lz23/VZwDOLB1n0f4y23NH67OOed3rap7RXjhb96M5IrtvzfuTflaz/mi+\n",
       "et+aOV/LruWI6iijdRitadl628z8XLP/0Dxq1oXs/UfT1LRdzVqj9dhM+yrd10X7ybm+Q0djppn9\n",
       "c1Z+ff5m9mjRe3eWT827geZbU0faFtlYjGi+NeNX99xZP6p5T9M89dmifLSs2hejOtM8ataFjPbv\n",
       "ZvpzVM9Zvtk7SKRmbs3Wm+w7weiaZr4Dyt4Faub4mu/A5vpuF9H7ZmurWb7eZOUyy9+hI5qP5tHM\n",
       "+K0Zeyrbo0X1rmXXmHcwAAD+f/xFEgAAAAAAAAAAAAAAAJgZv0gCAAAAAAAAAAAAAACAU/hFEgAA\n",
       "AAAAAAAAAAAAAJgZv0gCAAAAAAAAAAAAAACAU1qfrownJiaech6vfe1rXbx169bimvHx8YZ53Hjj\n",
       "jS7+l3/5l+Kam266ycVf//rXXfyFL3yh4T3MzG644QYXd3R0uHh4eLhI87nPfc7F+/btc/Gtt95a\n",
       "pNm+fXvDcvzoRz9q+PPIyZMnXXzixInimo0bN7r4TW96k4s/+tGPuvhd73pXkceHPvShhuW48847\n",
       "i8/+4i/+wsU7duxw8c033+zi3bt3F3ns3LnTxUNDQy7u6uoq0px//vkuPnr0qIs/8YlPNCyHWVmP\n",
       "d911l4uPHDlSpFm4cGHx2XzU29tbfKb9qKWlxcXRs7W1tbm4s7PTxTMzMw3zNDM7fvy4ixcsWNAw\n",
       "NjM7duxYw7i9vb3hz83K583KYVY+r/ar1lY/JS9atKjIY3p6umE5InrN4sWLG95X71Fzn6isUb01\n",
       "ErVvM2Oipk4wP2hb9fX1uTgaR4cPH3ZxNiaifqVjL7pGaV/UOV7vq/eIrtE8a+Y4va+Os2gN1zyy\n",
       "ckWf6bxRc19Vsy5oWbUcOtdE9dzd3e3i2dnZtKxZ++k8Gd1XP9M1LJontU40rplHs32clj3KV2Nd\n",
       "r2r6iIruq3WkfUDbPxoTOi9kYzH6LBuLNet+Vmdm5V5Pn0/vq+MMwDND55Fo/5HNIzVruM4TOkdE\n",
       "c0C2DkRzXvY8mmfNXKvPEu0tsvVI86yps+wekWx/FdVptpZEZZ3rO0f0bNmaFu0dsr1StraanZl9\n",
       "XVZHWVtGorGXPU9Wh1HZsjozy/csNe8P2d63Zr+h+6mavWE29qK20ftk/btmntT+W7MHV9GeW2l/\n",
       "jr5rU9o2WVmbma+iNHMdJzV9s+a+2R4763fRNTX1nF2TvWNH91VRX9Tnq5knsrJpns3MkzVptC9m\n",
       "c35UNlUzb0Rt3qgckaxfRWXP2qZmTtf37pr3Q70v3yMCAPCr8RdJAAAAAAAAAAAAAAAAYGb8IgkA\n",
       "AAAAAAAAAAAAAABO4RdJAAAAAAAAAAAAAAAAYGZmjQ/Am4NrrrnGxYcOHXLx2972NhevXr06zfNv\n",
       "/uZvXPzVr351zuXau3evi/v7+4trrr/+ehfruXgvfelLizSXXnqpi//1X//VxRs3bnTxW97yliKP\n",
       "3bt3u3j9+vUu3rNnT5Fm06ZNxWenO3jwoItrzvjTa6LzJXfs2OHi22+/3cV6PuGrX/3qIg+tx/e9\n",
       "730u1vY2K89x1LMi//u//9vF+/btK/LQNHo29cDAQJFmy5YtLn7yySeLa073O7/zOw1/bmb2mc98\n",
       "xsUf/OAHi2u0LUZGRtJ8nwlaZ+95z3uKa77+9a+7uOb8TL1G23t2djbNo7Oz08VTU1Mubm9vL9J0\n",
       "dXU1vI+eOavPb1aewVlzXqrep6enp+HPo3PStc70HNOorFoHo6OjLu7u7naxPluURzNnjWfnW9ec\n",
       "5dvR0dEwz+i+mL90vdE5POpXOk6yc3ijNU3z1f4dnTudnZPdzPnlzZyZrPepGUdaB1q2aBxpvjXn\n",
       "V6tsDxL9PJs3NE30vLoO1JzNrHsF7QM1982uidZFvW9W1qitsnLUrMfZehutLfp8egZ6zR40O/M7\n",
       "uq/eJzsT3CzvRzVlzc5aj8a8ptFy1LQngGdetHdQNeuizgHZHkbnN7Ny3a9Zf7O5RdeeaA3I9u01\n",
       "daTXaNmjPPT9R9fj6Pk1n+x9SZ8/SqN5RntDvUbLnu1Ro880jvqEro1atpq2amafo8+nZatpX81X\n",
       "46htsv1FVq5I1jcj2fPV7Fm03mv2MLq/qGmr7Plq3ruzuSfa92TzYnRfvSZ7vigPrWctR9Q209PT\n",
       "Ls6eP9pPZ/vWqC9m76p6n+i+2Z40GnvZe6f+PJrzsrbROovyydanaJ7UMZ6Niahs+rw17+5Z/43a\n",
       "JmuLmvGbzRNRmrm+69SsRzXz5Fznmmb6ZpQmu6aZdzsAAPCr8RdJAAAAAAAAAAAAAAAAYGb8IgkA\n",
       "AAAAAAAAAAAAAABO4RdJAAAAAAAAAAAAAAAAYGZm5QGGgV27drl448aNxTX/+7//6+KlS5e6+OUv\n",
       "f7mLX/aylxV5fP7zn3fxa1/72oZxja985SsuvvLKK4tr3vCGN7j44x//uIv/4z/+o0jz13/91y4e\n",
       "Ghpy8bXXXuvi7u7uIo/f//3fd7Gen/mTn/ykSKP0XM/9+/enaVTN+cYXXXSRiycmJly8YcMGF7/3\n",
       "ve8t8ti0aZOLBwYGXPyNb3yjSLNlyxYXax3t3r3bxTMzM0Ue/f39DfN45JFHijS/8Ru/UXzWyB//\n",
       "8R8Xn917770ufstb3pLmE5V/PtBzsz/96U8X12RnVOq5pmZlW2i/6urqcnF0zuWSJUtcrOeU9vX1\n",
       "FWk0Hz0PVc9LPe+884o8du7c6eLo3F01NjbW8D6jo6MuXr16dZGHtsXU1JSLozrSfPWatWvXpnno\n",
       "ZzXnwh86dKj4rFGaKA+9jz5vTftifojaJTqL+HTRnJi1b3bGbs19ovPZVTPn8M71zGSzck7Lnida\n",
       "07Wes7O4o7LoWc01Z3FHZ2ufruZcYi1bzX1r2lxlz1dzxnt2FnfUr7IxUNNWWZqoPrLzqnV90rXH\n",
       "LD+LO3peXff1vlquqA9lZ6tHdaR1oGu2tkPUvppvzdnq2TX6LDVjkTUOOPN0zNeM5zMxx6tm1vBo\n",
       "TtDn0bmmmTmvRjZfaRzdV9cbLXsz9VzzzqFl0bJGbaPX6BqXrZNRvnpNTTvoNfosNXuWmrVFn0/b\n",
       "Qn9es8/Ttoj2/tm+TvuMjtWoLNpnatoma8+o7Jqmpm30ebM8aspe0xZz3fs3M29EezjtR9qe+vPo\n",
       "Htmcp98hRGm039S0ld5H66xmXGVtE/Xn7L6R7Pu6Zt6fsj5jlvdXvW9UZ9nz1XyPNNc8zfI6itpG\n",
       "r8neHyLa57WsNWMv67/R97M6L9bcN1vXa/Ys2XeLNe9H+jxZfdRcU3NfAACeL/iLJAAAAAAAAAAA\n",
       "AAAAADAzfpEEAAAAAAAAAAAAAAAAp/CLJAAAAAAAAAAAAAAAADAzfpEEAAAAAAAAAAAAAAAAp7TW\n",
       "XLR582YXb9y4sbimv7/fxRMTEy6+8sorXfyP//iPRR5r1qxx8Ve+8hUX33vvvUWaG264wcWXXXaZ\n",
       "i2+++WYXb9++vcjjve99r4svueQSF4+OjhZp9Hlvv/12Fx87dszFCxaUv7OzcOFCFy9evDi97403\n",
       "3ujiH/7why7esWOHi0+cOFHkoSYnJ118xRVXFNdce+21Lt6/f7+LH3roIRdfffXVRR6vec1rXNzW\n",
       "1uZibX+zso7OPfdcFw8MDLh43bp1RR7f+ta3XLxixQoXv/nNby7SdHZ2uvjw4cMu/sAHPuDib37z\n",
       "m0Uemu+dd97p4vHx8SJN1E/mo5aWluKzRYsWuVjr8OTJk0Uabd/u7m4XDw4Ourinp6fIo6Ojw8Xt\n",
       "7e0ujvrEI4884uLly5e7eN++fS7etm1bkYfONQcPHnTxnj17ijQ6HsfGxlysdRj1B71G89R5JMpH\n",
       "x7yWde3atUUeOh+1tvrlI7qvzoOaRzYHmpnNzs66WOeNqF9hformDe1Hx48fd7H2EbOyz2sfiO6T\n",
       "0fto343uo+WIyqr0+XRsRvfVazTW5z169GiRh5ZN6z0aR1oWvY8+S7Tf0DRaDs3DrJzj9BqNa+YA\n",
       "nTei+0afna5mfc76YnSPufarqByah15TsxfUa44cOeJibRezvM5q+nMz9L5az9EcoM+nsZY1Wo+y\n",
       "ckRzQFZHWo6a+tHnYx0EnjodV/p+YWa2ZMkSF+v7oe6vzcp5IZuLasqmsa7pkey+NXs03V9Ec0+2\n",
       "HmXlMsv3U7o+RXTNivZGSsuuzx+VNbumZs/SzByePU9NO2T7vJpyaTk0j+i+2boX7R10H6fvh6pm\n",
       "v1UjS5O9kzQrq5Oad50zsVfK+kS0V9L7ah+p2YPrHFAzflXNHKf30efTeo/mpqxOauarbExEdZa9\n",
       "y0VpsnfKZt5t9b4176FZ34xkdRTlke3Ba+Y8zUPXlpoxnz1fNE9m/SbKM3sPzfq3Wd4HojTa57P2\n",
       "rembNWuY5qvrgo6Rmu93NM/e3t4ijX6P38z8BADA2ejs+FdrAAAAAAAAAAAAAAAAPO34RRIAAAAA\n",
       "AAAAAAAAAACYGb9IAgAAAAAAAAAAAAAAgFPyA3XN7I/+6I/SazZv3uzid7/73S7+2te+5uLojLuP\n",
       "fOQjDdPMzMwUaf793//dxX/+53/u4lWrVrm4p6enyOPAgQMu/tCHPuTi1atXF2n+/u//3sV63l7N\n",
       "GZXT09MuXrNmjYujcxE//elPu/iDH/ygiwcHB10cndWcnf97ww03FGkee+wxF2ud/eIXv3DxE088\n",
       "UeRx6aWXuvjxxx938dTUVJHmda97nYt/+ctfuvjXf/3XXfzd7363yGPFihUN0zzyyCNFmmXLlrl4\n",
       "YGDAxXpW5Gte85oij9tuu83FV155pYu3b99epInObZyPmimnnm1sVp5BqedL6nmb7e3tRR579uxx\n",
       "sY7xDRs2FGnuv/9+F+s56BdddJGLd+zYUeShn+lY035nZjY2NuZirUcd87t37y7y0DrTeh0dHS3S\n",
       "aD1qHlqOqH2XL1/uYh3zS5cuLdKsW7fOxS960YtcrPPExMREkYf2CZ0nonrmnNL5qeZceJ1bo7OZ\n",
       "5zr/RHnouqeiPUpWjppz4XUvUHPmeXYGdk0e2fnVNWlUdq54lG/NWfL6WXbGedS+mkbrSH8eyfZK\n",
       "Nec7q6jvZmlqypqdxx7VUdZf9fmicmR5NDN+a/pIduZ31J+1LFpHmibag+s12iei+871TPea9gZw\n",
       "5uk8Es09uuesed/XfWs2xqOf67xRc1+d8/SaRYsWuTjaO+tnWo5o/cr2JNneIiqr3kfXvOi+Wdmj\n",
       "etY6q9lfzXUOr9kbattE7TvXNFH7atmzeo/SZO+UUR5a1tnZWRdHe/S5vttFbaVl0bJG99U60T6i\n",
       "7R3te7KyRWMi2yvU7MGz/lwzBrI9eNQ3s+9zon1gVtasPqI0WvaofbM9aTPzRra/NMvfMbJ6N8vf\n",
       "5ZrZg+vzRnthzbeZ998sz5q9cPbeEpUtqse53jebe6N8snfImnesmjGfvYdpOaL+oN8t1nzvovfN\n",
       "1t+auTbb90TXZH0x2jtoWfU+zayDNfscAADORvxFEgAAAAAAAAAAAAAAAJgZv0gCAAAAAAAAAAAA\n",
       "AACAU/hFEgAAAAAAAAAAAAAAAJgZv0gCAAAAAAAAAAAAAACAU1onJyeLDx944AEX796928UXX3xx\n",
       "kWbRokUu/oM/+AMXf+lLX3LxVVddVeTxa7/2ay7+27/9WxcfOXKkSKNuvvlmF7e3t7t49erVaZpb\n",
       "b73VxSdPnizSHDhwwMULFy5sGC9evLjIQ/M9dOiQi48fP16kueaaa1z82GOPNSxXVHZ19OhRF//d\n",
       "3/1dcc26detc/Na3vtXFQ0NDLh4ZGSny0LJoP+ro6CjS3HfffS6+/PLLXXzHHXe4eHp6ushjZmbG\n",
       "xevXr3fxggXl71Pt37/fxa997WtdvGXLFhdrvZuZnThxwsXnnntucY3SfqNt82xpaWlxcWdnZ3GN\n",
       "9tfR0VEXR/V87NgxFw8MDLh4dnbWxVNTU0UebW1tLu7t7XXxXXfdVaR505ve5OLvf//7Lh4fH2+Y\n",
       "p1n5fN3d3S6O+oTOkzqntba2FmmU9hGtE60Ps7Ivanvq2NNympldcsklLj548GDDPM3Mli1b1jDu\n",
       "6elx8d69e4s8tK9pn4jmmmi+xfyk64LG2t7RNTomtC9G86heUzP2dBzp/kJ/rvObWdk3dd7UZzEr\n",
       "y69zqdZHNBb1My2rxjVpsuc3K58vy9Msb99ob6R0DtM6i9omex6Na/ZX2bNE12hf1OeN7qvPk/UR\n",
       "s7Itsnqt6Zta9mjsadtoOXTPFq1H+rzZ2hrdR8ei1lFUH1qvc63D6D5aZ9FcNF/2gsBzWc3+Q78j\n",
       "qVl/sz24zq3Ruqif6VwUvWNF+ZxO58mo7JmavYM+n5a1Zn7Teo7W8Lnet5k1rZl1X9/Lap43azuz\n",
       "8nn1vlm/MyvrJOtnZvmeJKpXlT1fzZ5F1/2aes3GWnRf7QM6bjTPZvZozYzfZtqq5t0n28c0s1fS\n",
       "ton2dVqvek32vhjdt+b9IRsDmkc092TvC9HYy8qW7Tdr76Nq6rFROaOyZf27phw1fUTvk80JUZrs\n",
       "eWv6puZR828U2ftvzfyc9VWzsh/p89fMz7r3yb67iMqSvZdF31c2806V9b25tn8k+veyM5EvAABn\n",
       "I/4iCQAAAAAAAAAAAAAAAMyMXyQBAAAAAAAAAAAAAADAKfwiCQAAAAAAAAAAAAAAAMzMrPWv/uqv\n",
       "ig//4R/+wcVXXHHFnDN+8Ytf3PDn119/ffHZtm3bXHwmzgTX8+uiM+6eeOIJFx86dMjFN910U5Hm\n",
       "xz/+sYsnJiZcrOcC3nfffUUeepben/7pn7o4Opv5nnvucfH+/ftdHJ3bmdFyjIyMFNfceOONLr7r\n",
       "rrtcvHLlShePj48Xedx9990ubm9vd3F0JuUrXvEKF3/xi1908eWXX+7iffv2FXl0dna6WM+31mcx\n",
       "M+vr63OxnuOoZzbu2rWryGPDhg0u1jqqOYNzvorOrNRzLZctW+bioaGhIs3SpUtdrOdaah1F9z18\n",
       "+LCLp6enXXzNNdcUaX7wgx+4uKenx8W9vb3pfbVs+nzRGaTZeeTNnJNec452dlatlkvrw8xsyZIl\n",
       "Ll61apWL16xZU6TZvHmzi3VO0+fVPM3M1q9f7+Kf//znLh4YGCjSTE1NuXh0dNTFzcyTeHpkZ8zW\n",
       "zJPZGeBRHjpumjlDeGZmpmGamnPSa8Zvdu59zTnaeg66ptFnie6reeh4js5az84A13OXo2v0eTs6\n",
       "Ooo0SutZyxqdzax7zv7+fhdrnUV7Je2bNWfYZ8+nP4/2CV1dXQ2vifaT2XnW2g7RnlzbvKY/Z2Ne\n",
       "6ygaR1FfO100frNzw2vOt87OOI/ymOsZ51EdcvY28PSrmXuy97Ro/c2u0bkpmt90XsjmIrN8Ddef\n",
       "R2XXa7SsNXu0bM+dvaNEZYvKqp9pvlr26N1O1azhujbq+pO9+0VptF6jPhGt643yjPJo5ru2rC30\n",
       "vlH7a91rP6tZ8zSPbG2tKWvUJzRffR6Noz6S9c2ojrL3kJrvDJTuuaM+lL2HaZ+J+nM29mraRuuk\n",
       "5jshva+WNXrnyOZBzSMaR9mYiMqa9fFszjcrnzebe8zK8mfPW7Mu1KxHqpm9cPa+W/O82b49mhP1\n",
       "mmbGnvbnbC6K8q2Zr7N5o2a+UjVrWFY2bYfoes1X00TzZNYXs++IAADA3PAXSQAAAAAAAAAAAAAA\n",
       "AGBm/CIJAAAAAAAAAAAAAAAATuEXSQAAAAAAAAAAAAAAAGBmZq1r1qx5Vm78n//5n+k1S5cudfHh\n",
       "w4fnfJ/Ozk4XX3LJJcU173//+1380pe+1MU33nhjkWbXrl0u/tKXvuTiW2+91cVf/OIXizze/va3\n",
       "N8zjrrvuKtL83//9n4tXrVrlYq2jycnJIo/sLMHly5cXafbv3+/iiYkJF2/evNnFY2NjRR56BqPm\n",
       "cdVVVxVpfvzjHzdM8+CDD7q4vb29yEPPl/zFL37h4mXLlhVp9D7ZGZxRHiMjIy7WOozUnAn8bKg5\n",
       "u1jPrdS+F9VRT0+Pi7XfaBydxa356hjYunVrkWZ6etrFek6n3ieae5o521XzzfpVdJavXqN5Rmm0\n",
       "bbRsmudjjz1W5LFt2zYX67mljz76aJFG62jt2rUuftvb3ubiu+++u8jjl7/8pYu17XSON8vPsMez\n",
       "IzqXVufs8fFxF0fn4apm5k0dA93d3el959qvas7h1TESPYuOtey83+i+moeOo2jt1LPTs3JEZ4Dr\n",
       "Pk7n9Gj86tqhdaRxR0dHkUe2X4zOkNZ8tRwar1ixosjj4MGDDe8b1dHq1atdPDU15eL+/v6G5TAr\n",
       "61XT9Pb2Fmm03vbu3evitrY2F0fnwms/0l12oE0AACAASURBVOeL6jk7S71mv5Gtv9EYyM40rzmL\n",
       "OzvjvIbmofUM4NlRs5fI1tto76+ya6K9RrZXqJmL9F1H84zm+Oz9qGbPUjM/q2x+jupQ51ad82vu\n",
       "q9fo80X31bJpGq3niOar+6+oT2hZdf3VttI8o7JpHO1Z9L6aJutnZnn/jdJo++r7rt43UvNOobIx\n",
       "oHUUjYloL3S6aB+gZc32V1Hf1HrVPVv0vUo2XrP9V1TWmn6l40jrXeOa+Trrm1E+zczx+pnWa03b\n",
       "ZO0ZPa/WYzYHmpX1PDMz0/DnNWMmexazfG9fs/dXep+orNrm2XwdydaFaG2Z63tKNCb0+WrmmmzN\n",
       "yp4l0kyabK/QzJ6lpp6b6UeZqG0AAHi+4i+SAAAAAAAAAAAAAAAAwMz4RRIAAAAAAAAAAAAAAACc\n",
       "wi+SAAAAAAAAAAAAAAAAwMz4RRIAAAAAAAAAAAAAAACc0rp58+Znuwz/n76+PhfPzMw85Tynp6dd\n",
       "vHXr1uKa6667zsWPPvqoiz/84Q8XaT7+8Y+7+LOf/ayLt2zZ4uKjR48Weaxbt87FP/nJT1x82223\n",
       "FWlWrVrl4qGhIRdPTk66+OTJk0UeSq8ZHR0trnnwwQddPDAw0LBcJ06cKPKYnZ11cWtra8N7mJmt\n",
       "X7++YdmmpqZcPDIyUuTR29vr4q6uLhcfPHiwSLNggf8dqyNHjri4ra3NxQcOHCjyaG9vd/GuXbsa\n",
       "5mlW117zwdjYWPFZT09Peo3au3evi7VfHTt2zMUtLS1FHgsXLnSx1qG2pZnZhRde2LCsWT8zM+vv\n",
       "729YDu0j0TWar/bV6L5aBzqOdM4zM+vs7HTx4sWLXazzU5SHtsVv/uZvunjfvn1FGv1Mx4TOtdHc\n",
       "o5/p8+7fv79Io6L5CPOD9mcdv9pXzfK9gabRtSeiYy3qM9H8czotezPzVTNrtpY1qrNly5a5WMd4\n",
       "VFatt+z5orl2fHy8YVmjMb9o0SIX6/ykc8Dw8HCRh9azli1qX+1X+nw6j0Zr3Nq1a12sz7d06dIi\n",
       "jbbFxMSEi/V5tU6ja7Q/68/Nyv2Szs9aHytXrizy0LLos0R7X+1H2lbHjx8v0mR56PNFY0DLon2g\n",
       "Zr+Rjddo/GZjWp9X6wPAsyOaA/QznUeiNDof6VzTzLtfzdyja6neV0XzdbZHi+6rc1r23hKVK9sH\n",
       "RPsNnTs1D33vjtZFpc8S3VevyfZKNWuL3ieqZ71Gn0f7ZvS8es3TsY+N9ls6JvQ+0b5dr4n66+mi\n",
       "tsryrBmLzYxf7SPaFtF3Qlp+Laum0T2cWVmPmmc2J5iV9Vzznpbtp2rmVo2zOSG6RssR7a+yPWdN\n",
       "+zazj9VxkY35qJ41D71vzfexWs9aZ9H3WVF/ze6bzRPZO7ZZWc/6nhK1r5ZFY02TzStmdfNGTZ9v\n",
       "VC6zfLxGc1w2p2uaKI9sDo/WEu17WRzJyha1bzY+m5nzatbfs+U7ewAAzjT+IgkAAAAAAAAAAAAA\n",
       "AADMjF8kAQAAAAAAAAAAAAAAwCn8IgkAAAAAAAAAAAAAAADMzKz1wQcfLD587LHHXPylL33JxR/+\n",
       "8Ief8o1/+tOfFp/pme5Px9lzUZ6PP/54w2suv/zyIs0b3/hGF+v5kdHZrmpoaMjFd999t4ujcwAH\n",
       "BwddPDk5md5nrqIzHPv6+lycnTcYlV3Pbh0dHW2Yh5nZI4880vC+y5cvd/H+/fuLPMbGxlysZ4x2\n",
       "dXUVaaanp12sZ0OOj4+7uKenp8gjO0/ybD5bsb+/v/hMx6/Wq55jalaeQ6p11NHR4WLt/9F9NQ89\n",
       "L9fMbN++fS7euHGji7Wv6s/Nyn6lfaaZ83E1TTQmsn4TnbGq+W7YsMHFO3bscHF0Hq7OAdu3b3ex\n",
       "jgmzcowPDAy4+L777nPxgQMHijz0eXT8RvWcnd+N+SM7oz7qz9nZxNm54tFn2o+is6j1muzs3ujc\n",
       "4exs6ui+GZ1rozrTuXRkZMTF0RjRfDQP/XlUz1m9RudsZ2tndua7Wfk8Wo5ojtO1Qsuh+61obVG6\n",
       "RxkeHi6u0bLp8+p9ozGjZdX1Vtc0s3L9zc7zrpnjs/FslvcjXfeiPLVs2o90X2CWn72tedbMPdFe\n",
       "V2X7nOw8cwDPjGwOjOg8Es0b2bqf5VmjZg1v5t09e5epma+yOmomj4jWq76X1bSnlqXmfSIrm6aJ\n",
       "+ojS+0Zp5vo9Q817qYqeLctH91fR9TomavbP2d6/pl5VzT42u28zsrH5qz5rlEf0nYH2Cb0mukdW\n",
       "tprvKrI0NfvYub7rRWWpmZ91L5/t2aL2z9aOaAxkz5u13a8qS/bzrF/pz7U+atTUUXbfaD3SsjQz\n",
       "b2i918wBNfOxyupR27fmeTVN1K+ydx3NM2orLUsz70fZWlrznUHNHJ+1Tc13Qqpmrnk61gUAAM4G\n",
       "/EUSAAAAAAAAAAAAAAAAmBm/SAIAAAAAAAAAAAAAAIBT+EUSAAAAAAAAAAAAAAAAmBm/SAIAAAAA\n",
       "AAAAAAAAAIBTWq644oqT+mFHR4eLN2/e7OKJiYk0461bt7r4Pe95j4u7u7uLNMeOHXPx3Xff7eKT\n",
       "J4uiplpaWly8YEH5uzP6vBqvXr26SHPixAkXd3Z2unh6etrFu3btKvJ4/etf7+KXvOQlLv7nf/7n\n",
       "Is0FF1zg4gcffNDFIyMjLj5+/HiRR6a9vb34bMOGDS7Weh0aGnJx1Ee0LBprnhFN09ra6mJtl4j2\n",
       "o6hPZPloHm1tbek1q1atcvG+ffvSNDXP80zQOrr44ouLax5//HEX6zjq7e0t0mgdLFu2zMXDw8Mu\n",
       "1nFmZjY6OuriRYsWuTjqV5dccomLteyTk5Mu7urqKvJYuHBhw3JE85X2kyNHjrh4YGDAxdE4mp2d\n",
       "dbH2kWjML168uGE5dI7T+jAr21Pna31+s7I9x8fHG5YrKrt+pvWqc5NZWa/az44ePdowTzw9orn2\n",
       "/PPPd7G2lfZ3s3xdq5njdZ7QPqE/j/JtZn1Vut7q3sGsLL/OPdrfoz2LjjWt52h+1nlQ60jLEdWZ\n",
       "li3LI8pH0+icHrWD1lkWR2XV9WZqaqpIo9atW+fimv3y4cOHXZzthaJ6VlpnEa0DXUuyn5uV7VeT\n",
       "Rj9r5nl17xfNEyrbP9aMZy1rVmfRZ3ofnQO0XGblvKDr73zZKwJnM90bR+tTzVyjsnmjZk7M9jXR\n",
       "Plbz0Wv0+aJ5JEsTlVXnJ70mi83y+VrvEdE0ep9onYzm8OznWVn0/WlmZqa4Zq7rYm3ZMtl+KxoD\n",
       "ulfScVOz/8jGRLQOar7NrOFZWaM6zL6vqvk+K+u/zXwXVTMHZOM3ommyvhiVMxt70ZjRfLSsWs/N\n",
       "7LdqNPOdQM17Z5Ymm6/1Pc4s/44kUlOPmWbWI21fnRd1nxv11ez5ou9jdb7Vsta8U2p/1jyi/pzN\n",
       "C1k5ojyy7wPMynrO+lnU/jovat/TNSDKN5trat4Pa94ps3LU3DfbC0X9Susoq3cAAJ4r+IskAAAA\n",
       "AAAAAAAAAAAAMDN+kQQAAAAAAAAAAAAAAACn8IskAAAAAAAAAAAAAAAAMDOz1h/+8IfFh3r+78UX\n",
       "X+zi733ve0Waa665xsWvfOUrXbxx40YXb968OS1czZmySs/S0zzWr19fpPnABz7g4j/7sz9z8dq1\n",
       "a4s0ejag1uOVV17p4gsvvLDI4+6773bxHXfc4eKLLrqoSHP11Ve7WM+TfOihh1w8MTFR5KG0zl74\n",
       "whcW1+zYscPFev6g9pno/MFmzvHMzjmsyTM7c7TmTOisHNGZ2Xre4tDQUHrf+UrrY+/evcU1+jxT\n",
       "U1Mujs4cHRgYcPHw8LCL9czRsbGxIg9tm5qzmnfv3u1ifT49CzUaR9k5pcuXLy/SaB1ovpdeeqmL\n",
       "dTxHabRO2tvbizTaFmpkZMTFema2WdkWOvf09fUVaXTO1nrWskbntA4ODjYsW9S+nEt69tA21/E7\n",
       "OTlZpNGx1tnZ6eKadU/XcD3/N+qL2p+zM5OjvqnX6NoRrTVatuzs3mivdPDgQRevXLmy4T3Myno9\n",
       "cOCAi/X59Hqzsv1qxq9ek9VrdA5zduZ1NE/qNTrHaXtH9923b5+LtW2iuVivyfY10Vnc0fnNjfKM\n",
       "PsvqLOqbWXtGc3F2hr3Wa5SH3lfrNVqPdNzo2NN6rTmvXMtWcy685ns27QWB57JsbjJrbrxqvpqH\n",
       "ri3RfXXe0DQ1e+Hs/bdmrlXRepTR+0RrqZZN71OTJrtPzXcGmmfU/ln76voU7beyfU3NdxXZmh3V\n",
       "mdZrzZqmsjER/VzLonG0B8/GZ813N7r312uicZR9r6BjMaqzZsaJlq1mflJar5qmmXpWNf25pqya\n",
       "j7aVivqz3lefJXpepW1VUx9ZH4j6RNY2NXt/vW/NPlY/y+Y8vUd0H2276HtRzUffVbN3P7N8DatZ\n",
       "B7MxENVZtv5EZc3Wo5r1V+ceHRNRX4zGRSM1fbNm/qp5ntNF84Y+T828kX1Hr88SXZ/tDWrWTgAA\n",
       "ni/4iyQAAAAAAAAAAAAAAAAwM36RBAAAAAAAAAAAAAAAAKfwiyQAAAAAAAAAAAAAAAAwM7Py0EMr\n",
       "z+N7/PHH55xxdEbhXEVnMs6Vnr+3atWq4prrr7/exZ/+9KddHJ2B9+ijjza8z8MPP+zi6FkmJydd\n",
       "rOdJPvLII0UavU92nmR0DmB2huyyZcuKNBdccEHD++zZs8fF0bmm4+PjDcsRyc4P1bI3c95xzTnL\n",
       "WZ6Rjo4OF69Zs8bFO3fuTPOoORvymaDt/YIXvKC4Zu/evS7Ws087OzuLNMPDwy7u6upysT6/5hmp\n",
       "qTMdazpf6c+j8av9pq+vz8V6JraZ2aWXXurihx56yMX3339/moeOrbVr17r40KFDRZqlS5e6eGxs\n",
       "zMU6fiPd3d0u1nlCx7eZ2cTEhIu1zrQcOmaiNDrnRfNzzfjE/JCdb1xzfrf2M1WzDuq8UdOvtOwa\n",
       "15yZnJ1VHZVFx4TuC6J1cPXq1S4eHBx0cc2eTedBnfN0bEZl1bLpftOsrKPs+bP1OkoTza3aB9rb\n",
       "212s60LNHkbvE+03NN9oHjxd1Fa6NmZ91Sw/011FfVPLonlGe0F9Pq0jvY/uC8zK59G2ivYK2Rnu\n",
       "NWOxmbUl23OraA9T09cAPDXZ+mxWznG6PkVpdExna1g03rP34SiNljXak2R5RHP46WrmyexdPVqf\n",
       "NI2WPSpr1n76LNGeRduzZp3MvlfQstfst2r2NepMrE8qKmvWF7Vea9Y0jaM9+FxF+8tsHxf1iaxf\n",
       "1bRVM2NA6fNMT083zDPKV/titCfVNte9k46jaL+lz6v3qZkns/tG/UrT6LPU9CutI42jtsreU6Ln\n",
       "zdq8Jg+tk5q+qc+TrU8141fLEd1XP8vaKuqbWpasrSJZHUX1nOVbs1fQ56t558i+06x53myuiepZ\n",
       "8836mVn5vFlbRX0kSxPNcVl/1rJGdZrNk9G8wXsZAOD5ir9IAgAAAAAAAAAAAAAAADPjF0kAAAAA\n",
       "AAAAAAAAAABwCr9IAgAAAAAAAAAAAAAAADPjF0kAAAAAAAAAAAAAAABwSsurX/3qk/phd3e3i0+e\n",
       "9JccO3aszKilpeE1R44ccXF7e3uRx/T0dMM8I4sWLXLx8ePHG+YR5dnW1tYwD72Hmdm9997r4qmp\n",
       "qbSs88WCBf73h/T5li1bVqQZHBx0cWtrq4sXLlzo4snJySIP7UdajhqaRvtZlKeWVctx4sSJ9L7a\n",
       "J/Q+mmf02eLFi12sY+JsomPGzGzdunUunp2ddfH+/fuLNFpH5513nov37t3r4micaVm0T0Rzjban\n",
       "llXbN5o39BqNP/axjxVpvvrVr7p43759Lv7lL3/p4qhf9fb2urinp8fFL3rRi4o0+nxaj9u2bXPx\n",
       "0aNHizw6OztdPDIy4uKurq4izcTEhIt1LPb397v48OHDRR5a99qeK1euLNLomNZ61ueL6hlnXjQ/\n",
       "X3DBBS7es2ePi3WsmpVjXNcfTRO1r/YRzSOSrR3aN2vm+Gweicqm5dA5UMe7mdk555zT8D5a72bl\n",
       "+NU1TJ8/qudo/9QoT7Oy/NreOidEa7jONdoW0X2132R7g76+vuIznRe1T0Rrid5H60x/PjMzU+Sh\n",
       "da/3qdlvZfUa5aGfaV8cHx9P71OzT8/y0H1rNPb0M+0jusaNjo4WeWjfrFk7tF/peNa+GI0ZbXMd\n",
       "EzX7WACNdXR0uDj6viP67HTR/KWfZd8zRPfQuVbnkWjfrtdk78zRPJLtr2rWlmx9qklTIytLzd5B\n",
       "52Od86P5OesTWq5oX6u0rFF9ZM9bsy7omq1rTbQ3ztqzZn+d7dOb6SM137Novtn+OkqTtV/ULs08\n",
       "X3Zffd6oH2ZzQM2Yz8p1pvYfWVl1zxbdV+tZ45rxm42rqI9o2bI5oSZfjaN20bbQdaBm356NxajO\n",
       "NE3N88+1faNxlo3XZsZvzTvIXOeASDbma77DrnkHyerxTKy/NXlke5bou4qa+TiTjRutH7Ny3Ojz\n",
       "RWNA15ea70QAAHgu4C+SAAAAAAAAAAAAAAAAwMz4RRIAAAAAAAAAAAAAAACcwi+SAAAAAAAAAAAA\n",
       "AAAAwMzMWsfGxooPp6amXFxzHl92Vl53d7eLo7PH9aw5vY+eNW9mNj097WI9n07PvIvONNT76BnJ\n",
       "0RmczZyNOF/o82Z1FtFr9ExdPbfVrOxH2VmZZuU5htrP9PzF6NxDfb6as121bHqGcM3Zp9m50mez\n",
       "aA7QetSx2dPTU6TRep2cnHTx0qVLXRzVoeahfTM6I1mv0X6j/VfnxOi+r3jFK1y8adOm9L579uxx\n",
       "cc056fo8Q0NDLo7qWdtmx44dLtbnqxm/Nec9ax1prGXv7Ows8tCyaZ00cw4x5g/tm9pHJiYmijQ6\n",
       "72dnftecO1yzLmTnZusYicaRzgG6TkTjSJ9P9yjRfkodPHiwYVmjtbOrq8vFWicaR3s0rYPx8XEX\n",
       "R/sNrefsTPuonnX90bLpniXKN/t5VO9adp2va84a1zx0XoyeV8dJzf5K21ffB7TOovOss7PUo+fV\n",
       "fqPl0H1ANO60zg4dOuRiHSNmZR/X+2hbRc+r85P2s5qz1bM9KYBnRzafmeV7zuj9SOcevUbzrJkT\n",
       "NE00T2o+On/pnBetgTpfNbNnyZ4nqrNsDYvaRu9T832Gyt4Po3fK7PmyPYxZXAdz+Xl0jd43ykOf\n",
       "R/tR1K+y9q15l9V6rWmr7Pn0PjV7cO3fUR1pHTTz/U62v4zqOXtf0D1KlEfNGFfZnlR/HvV/bd+a\n",
       "etZrNA+9bzNjouZ74OwdMno/zOaNmvtm/Tt6T8v6XtQnsnrLxlWUR/b8Znm96n10vTKL599GeUb5\n",
       "NtOvsu+fozGg84/WkcY1YyKba83y+TkbZ2b5HFBTRxpr20X31Xxr1oksjf48erfL5rhoLQEA4PmK\n",
       "v0gCAAAAAAAAAAAAAAAAM+MXSQAAAAAAAAAAAAAAAHAKv0gCAAAAAAAAAAAAAAAAMzNrfeKJJ4oP\n",
       "9Rw4PWt8w4YNRZrdu3f7jOV8uvvvvz8tzO233+7i5cuXu/jyyy9P8/jc5z7n4m9961suvueee4o0\n",
       "ei6engsfnT+ZnZE8n2XnhY6Pjxdp9DzF6HzQ0+mZ92Zm3d3dDfOI0mhZta2ismZ6e3tdHLXl0qVL\n",
       "Xaz9WzVz5urZLKqzmZkZF2vbRGdh6nmZK1ascPHw8LCLozMq9T56TXRuqX6mfW96etrF2nfNyuf9\n",
       "0Y9+5OJovhodHXWxnvWp/Tt63ux82PPPP7/4TMs/NDTk4q1bt6b3yM5Jn5qaKtJom2u/6ezsbBhH\n",
       "afDcomNA59Kas8e1b+qZwVEe2fm3Ub/T85r1mmbODa85/1efT+ceHYvRfXt6ehrmUTPOsvPYozkg\n",
       "O49e91sRnY+1nqO1RT/T9o3W4zOxZmdnM0dto+2neYyNjbk4OgM8q5PoWSYmJhrmq30iWo/0+SYn\n",
       "J128cuXKIo1eo32xpux6jb6n1JzfnfWRiOarc0J09nY2b9TUM4BnXrR30HkymmtUtm/XPKM5PtuD\n",
       "R3sHneO0HJpHDX3emnVBZc9iVtZ9Tb1rGr1G94Y1+56a9s3W/Sw2K+tEnzeqI70myyNaS7N9Ts07\n",
       "tNZ7Vg6zsu71mmhfl91H66jm/SEqm9L76PNrXLNHy/I0K8eW7i/0nVn3UmZln1c199X+qnvy6Hm1\n",
       "LZp5l9c6qtlP635L6yQae1kfqNmj6dxaM29o+bN3kJrvGrN9vFnZJ5qZe7KxVZMmW3+i/qxqxq/O\n",
       "Jdk6UXOfmjQ6TvR5Na55L61p32xOz+aE6L7NfL+RlaNmftZrdHyblWXVvVA2j5rlc/pz6Tt8AACe\n",
       "Kv4iCQAAAAAAAAAAAAAAAMyMXyQBAAAAAAAAAAAAAADAKfwiCQAAAAAAAAAAAAAAAMyMXyQBAAAA\n",
       "AAAAAAAAAADAKS1XX331Sf1w69atLj58+LCLb7nlliKj97///S4+duyYi9/xjne4+C//8i+LPH77\n",
       "t3/bxfv27XNxd3d3kebgwYMu7uzsLK7JfPazn3Xx1772NRf/8Ic/LNLMzMzM+T7zxcKFC13c0dHh\n",
       "4g0bNhRpxsbGXDw4OOji48ePu7itra3I4wtf+IKLd+zY4eJ77rmnSHPypO+ejz32mIt7e3td/Id/\n",
       "+IdFHj/4wQ9cvGXLFhdr3zQz++QnP9mwbJ/4xCdcfOLEiSKPhx9+2MVPPvmki48cOVKkOVssWrSo\n",
       "+Gz16tUuHhkZcfHU1FSRZsmSJS6enp52sfbVlpaWIo+JiYmGaaKyLljgf4dO20J/Ho13vUbve/To\n",
       "0SKN9ueBgQEX67NobGbW19fn4tHRURe3t7enZZ2dnW1Yrojmq22hbWdWzi3aB3TcRGXXttH2XLdu\n",
       "XZFG1x9dS7Rtap4fT532QzOzc88918W6pkf9SvtNNhY1Niv7iK5hUVlbW1tdrP1GY72HWTkmtC9G\n",
       "99V89Rq9T5SH3mft2rUu1n1edF8de1of0To4PDzsYp3zozGvaXQO0PtGtE6iPqC03rTOdM6LyqF1\n",
       "oHUY1ZHeN2q/TDbHR/Wc9Xl93mjPon1C7xOt+9oWWida79F+UtPouNJnMyvrRPPQ9ly8eHGRx/j4\n",
       "eMOy1dSR9gnNI+pXWo/av6N+BWBudCxG7xzZ/jlKo3OAjldNE81f2b4nonNYtpZG85feR9NEZc3y\n",
       "qFkXs3qt2bdrvdfst7I6idpXnYl3Ci17VM/6WTNto8+jbRHtnbI0Wq9R+2ZlranDrI9EZc/2PTV7\n",
       "NF1/s/FtVs4tNX1Rr9H7ZN9dmJX1rHUU7XOy59F4cnKyyEPrXveG0Xck+j3v0NCQi2vmq+h5The9\n",
       "l2X9t2ZcaZqa/qxtke3Ba9aFmvbN3m2yd6GastbsSbVsWkc19Zy9H5vl3yNpn4jmeO0DWR3WqJmv\n",
       "tB5rvqvIvptQ2ZgxK/c9zawLNXslzbembTRffZ5myq737erqKtJovs2sYQAAnI34iyQAAAAAAAAA\n",
       "AAAAAAAwM7OWd73rXcWvS952220u1t8Ir/Hyl7/cxfrXCe69994izcqVK+d8H6V/OUP/YsWXv/zl\n",
       "Io3+FYv/+q//cvF1111XpHnBC17g4u3bt8+pnM+U6Dd39X9u6rN85CMfKdLoX6nRPvFP//RPLn77\n",
       "299e5PGZz3zGxe973/tc/NWvfrVIo7/dq/8bVOn/sjYz27Ztm4v1r9ZE/6NBf8tY/2rNu9/9bhf/\n",
       "yZ/8SZGH/uUI/Qsl+pdSzObv/zLVfqTPZlb+bxsdi9FvgPf397tY+1XN/6rWvxZS87/W9DN9Hs1z\n",
       "zZo1RR6HDh0qPjtd9L8E9K8r6FjU9o7+N7f+VrzWa/SXBbQs+rz6l0+i/32i99X/gRT9r/EXvehF\n",
       "Lta/DKLtG/3lF60z7TM6x5uV7bt//34X8xdJnh01f5FE/9pVNOfrGG/mfxfV/BWtLI3mW/M/svR/\n",
       "NekYiP7yWvY/3Zr5n376l4xq/qdb9r9tov/VlP2lppr/gaXzgqaJyp6tA9F9tY6072Xtbdbcmp39\n",
       "RZ2asusY0LUjKquOk+yvTkV7Jc1Dx1HN/8zVOb6mnvW+2vdq/re+1quOzeivIWkdaTma+d+uSvcF\n",
       "ZuU8ofdhDQOeOp1HorlW58GaOT/7n7g6r+h4N8v3AdFfMormo0ZpoutrrlHZ+lvzv7ez/2kf0bkz\n",
       "ez+M2q6Zv3yS/S/5uf4P8agcNf8TO8sj2qNpf675H/5Z29T8lY/sL4JFz5b1xZr/ra/3rflOSOst\n",
       "+6vE0V9Czb7fid5B9D7R3uB00V5Yn0eft2Zc6TyY/TUKs3Kvr2Wr+aut2V8gieos28dFfTGbN5qZ\n",
       "J1W0lmTzRjZ/mZXPk/0VpugabRvt79HzZnNa1DbZeFXRz5v5q0tZndTUWc17Zyb7K5/RffV5s32A\n",
       "Wb4nyb4zifKo6RMq+0ugNe/uquY73Zo6ymjZo/6s8xF/kQQA8HzBXyQBAAAAAAAAAAAAAACAmfGL\n",
       "JAAAAAAAAAAAAAAAADiFXyQBAAAAAAAAAAAAAACAmZm1RufXnXfeeS4+99xzXXzHHXcUab75zW+6\n",
       "+E1velPDn7///e8v8njJS17i4nPOOcfFP/7xj4s0+/btc/ELX/jChmW94YYbijzUdddd5+K+vr7i\n",
       "muj84rOFntk3ODjo4m9/+9tFmi9/+csunpiYcPEb3/hGF992221FHlu2bGlYjqGhoSLN+Pi4i3t7\n",
       "e12sZziOjIwUeeh5iwMDAw3LYWZ2++23u/iKK65w8Z133pnmoWcn/vznP3dxzfmw84XW4fLly4tr\n",
       "tE/U/FzP3NQ4O3/SrDy3Uuuw5gxOvY+e/Xnw4MEiDz27NjqLWWVnBNe0v44JFZ3NrPO8zl+aJspD\n",
       "60yvic6V1vtkZ64ODw8XeWi9Tk5OuljnBLP5O46e76J20TGh/Sw7Y9esHEc157NnYyI6i1zLpmna\n",
       "29vT+2bPF51hr/noHBCNPTU1NdWwHNF6pPO8jj1NE50br8+nz1Jz1nh/f7+L9czz6OxiLZs+bzRf\n",
       "a71m51nX1HvNed5aFs23q6srva+WXEd5rgAAIABJREFUtWYcad1na1o0fjXfmjPstf20jnTsRftt\n",
       "LbvWUbQXzOYFLUdnZ2eRh5ZF6zkav9oXtew9PT0urlm/9L6secCZ18y4itaWLB+di6LrNV+dR2rW\n",
       "lpr1V0X5ni4qa7beapqoznRt0XJEaXSfo9dk+02zso70mpo0Wdmj9ThbS3V9isqSvVPWtHd2j6gs\n",
       "WV+M2kr3Bvq80Xuorr9aDk0T9d3snSJKk+1ZavaGWgdar1HbZP2ou7vbxaOjo0UeWrZsTJiV/UbL\n",
       "oXujJ598sshj2bJlLtZ9zv79+4s0NXv700X9Sus+2xtH99X21TTRWNT71ryHKu0DUVmVtk327mNW\n",
       "1onWs86j0b5W60Dz1DqNyqr3rSl7tg7WPG82rmrew2vaJlv3atYjfT4tW7T+ar1m83PNGl6zHmm+\n",
       "Wmc1Y0CvqfluVa/ROFtbozRaJ1HZee8CADxf8RdJAAAAAAAAAAAAAAAAYGb8IgkAAAAAAAAAAAAA\n",
       "AABO4RdJAAAAAAAAAAAAAAAAYGb8IgkAAAAAAAAAAAAAAABOaW1tbS0+PHr0qIu/853vuPgzn/lM\n",
       "keZnP/uZiwcHB128Zs0aF99zzz1FHlu2bHHxsWPHXHzw4MEijZb/DW94g4s3bdrk4muvvbbIQ+/z\n",
       "+te/3sUTExNFmr6+PhfPzs4W18xX2r5ar3fccUeRZsmSJS4eGRlxcVtbm4u1Ds3MLrjgAhcfOnTI\n",
       "xXv37i3SaL6jo6MNy3X8+PEij2XLlrn4vPPOc/F3v/vdIo3WwSWXXOLihx9+2MX79+8v8jh58qSL\n",
       "p6enXbxw4cIijZZf83i2aDkmJyeLa3Qsahw975EjR1zc0tLSsBxdXV3FZ2NjYy5ub293sfZ3M7OO\n",
       "jo6G1yxY4H/HLhrfeo3OI/pzs/L5Fi1a1DCPEydOFHloPWqaqM9EddDoPlFb6TWLFy92cbSWHD58\n",
       "2MU612iaqP2zskVp5su4QS7q46fTMWJWzpPaF2dmZtL7ah/R+0RjPhoXjcqlc5FZuQ50dna6WNe4\n",
       "Zu5bc43WWTRf6fqqdTI1NZXeV+cnredo/GpZdb+h9ap1alauFVr2qN9lc01Wh2b53BPdV9dBva+u\n",
       "t1F/0HrUckT9WdNovdbUme7RtI5q9sa6Hmu/isZRNC80yjPKV59f+6q2i1lZB7qGRWmyvZCWK9rn\n",
       "ZHsjAE+djrNozsvGYs16rHnoHr1mH69rds1aqnNPzb4ne1+Knjdbj7QcZ2rPrvfVONrnZGrKqv2k\n",
       "mefVz7SsNX1C1xpNE7VV1o+iOtN1TvuI7smi9Trb9+h6bFbuN+Za7xEta7Svi9b1Rnnod4TRNVrP\n",
       "NXs0pXvDqK2y7ypq5iu9z/j4uIuj93/9jm94eDi9j9Z9f3+/i/WdJPp+VvtEd3e3i6Pvr/Qa7We6\n",
       "R4vGotarPkvUltontBw140jvW/MdiY5XrZNsb2xWzj2aJhp72k/0XV3bLnpezVffD6L+nK2d2lY1\n",
       "YzGbr6Oy6DU1c7xeU/M9sZY/m0dq1sXs+c3K9tWyZuuzWdkHavY52fdI2XegZmVfq0kDAMDzFX+R\n",
       "BAAAAAAAAAAAAAAAAGbGL5IAAAAAAAAAAAAAAADgFH6RBAAAAAAAAAAAAAAAAGZm1rJ48eLikLs3\n",
       "vvGNLl6/fr2LP//5zxcZXXfddS7Wcx23bNni4pe//OVFHj09PS5evny5i4eGhoo0e/fudfHPfvYz\n",
       "Fy9btszFL3vZy4o8fv7zn7v4fe97n4v/7d/+rUjzve99z8XZ+anzWc2ZhXpeqJ7hftlll7l406ZN\n",
       "RR6XXnppw/g73/lOkUbPYdX21D4TtYN+pmfXRs+r/XXVqlUu1rKvWLGiyGPr1q0u3rdvn4ujc1rP\n",
       "ljMZo7NPBwYGXDw4OOhiPQvVrGw/pedr6jm1Zvn53VFZ9TxN7QN6VmZ0/qae26lzXnRmsH6m+erP\n",
       "o3Nas3Npo/OdNY2OZy271mmUh56ZG42BsbExF2ud6fNFdZaVXdcJs/Ls1oMHD7pYy36mzmdHY9Fc\n",
       "u27dOhePjo66OJoTdS7RM5JrzgfWsReNG6Vl6ezsdHHNWevZGcLRmM/SaP/V+jAr60zrRMeVWbne\n",
       "6nqsZY3WXy2L1rvWmVlZb9mcHo1fraOsHNFn2ZnQ0fndWid6TVRH2fnUWq7e3t7iGp1rdZ8T9Sv9\n",
       "TOu9Zh3UfqVponVfbdy40cW7du1y8dKlS4s02m90To/aRvdc2ue1znTdMMvnCZ0TzMp61jrR9TYa\n",
       "i7r30TGRnREOIKfrRLR3yMZeNBajfE6na0vNe4teo2tedF/NI1t7orJl+5GaPGrKnu3Lo3lS89F1\n",
       "QUXPr59pWZt5T9dnyfpDlCaS1WPWdmZlHXV3d7s4eu+uyfd00ZjQsmq9R2t41tf0PlEeWvaatTMb\n",
       "e1qHUfs2856p9ap1pPvJaO9f892EyvqRliPaF2X7y2xsRvdRUT1rm2udDA8PF2mi+bZRntF+OusT\n",
       "UR1lY0DLPjExUeSRfYcbjRl9nqzszXw3E80bet+5jufoPtl3Ymbl8+jzZuM7+kzHRNSfs3GTtb9Z\n",
       "WWd6n5r9RhZHc5OWRe8blTV73pq5N+sjUZ/J1kEtR9SftSz6vDXvdpoH3y0CAJ6r+IskAAAAAAAA\n",
       "AAAAAAAAMDN+kQQAAAAAAAAAAAAAAACn8IskAAAAAAAAAAAAAAAAMDN+kQQAAAAAAAAAAAAAAACn\n",
       "tGzcuPGkfnj8+HEXv/CFL3Txvn37ioweeeQRF//e7/2ei//nf/7Hxffee2+RR3d3t4vPO++8qMzO\n",
       "O9/5ThcPDQ25+Pvf/76LL7rooiKPDRs2uPiVr3ylix966KEizZe//GUXHzt2LC3rfLVggf99otbW\n",
       "1uKa3t5eF5886btNV1eXi9va2oo82tvbXTw5Oenixx9/vEjz0pe+1MWrVq1y8Y9+9CMX33jjjUUe\n",
       "n/rUp1x85MgRF1944YVFmquuusrF2o8OHz7s4r6+viKPsbExF+vzamxWjr35SvuMmdnq1atdPDIy\n",
       "4mKtd7NyzOs4Onr0aMPYrOyLauHChcVnixYtapiH3ie6R0tLS8P7Rj/X59Oy6X2iPLTs2hYzMzNF\n",
       "Gr1G882exczsxIkTLtYxHs0bmkb7vD5LTf/v6Ohwsc49ZuXzDg4OuljbIetDODOieWP9+vUu1rk1\n",
       "mjdmZ2ddnPXnqH9r39SxGPXFLN+afrR48eKG5dBni8qmdG2N9iOabzYHmpktW7bMxRMTEy7WOorm\n",
       "Z30+nSd0PJuZTU9Pu1jrWeuwZn7WeVHLFeWrZdU0Nfs+LVtUVm0LLWtnZ6eLp6am0vvW1LPeR8um\n",
       "4zWqM6X1HvXdbD3S59U5IUqjYyDqi5pGr4nmJ6V9vmb/rGMvmyeiNU3z0L5X0zYAGtN5JJoTdCzW\n",
       "jD2dF3Qe0Tyi+zYzP+uals0bNft4nUej931dw7N1MLqvXqN1lu2Lojxq0ui6UPN+pG2RvctEeWod\n",
       "NPNeou1ds0fL3jujcuh9NF/9efReqv2m5r1b90pZf9brzco6ycZmdI3et2ZMaJqaOtL+qnNPtpcy\n",
       "y/tiNCa0rFkd6bNEZVPRu05Wz9qeUX/WOTx794mu0TrJ2i6Sfa8U5ZONo6jOtK9pvde8U+q4qXlv\n",
       "0TyiOVzpfbSt9H0/esfSvqffI0b1rGNLy17zXVQ2XqM6ytbomjU8WytrvmvMvu+IaB3UrIPZO3N2\n",
       "j4iWteb7HL1G6zlqq2wvVPNul40jAACeK/iLJAAAAAAAAAAAAAAAADAzfpEEAAAAAAAAAAAAAAAA\n",
       "p/CLJAAAAAAAAAAAAAAAADAzs1Y9j9CsPAfuwIEDLj548GCR5nd/93dd/P3vf9/Fem7c9ddfX+Sx\n",
       "d+9eF7/4xS928UMPPVSked3rXudiPUv92muvdfGDDz5Y5PHkk0+6+IEHHnDx/v37izQ15/qdLbS9\n",
       "9bxJM7O1a9e6eOfOnS4+//zzXbxjx44iDz2DcmBgwMUrVqwo0ixfvtzFL3jBC1z88MMPu/jQoUNF\n",
       "HnqupZ4/v2vXriLN8PCwi/UM0ujMUaX95rl0VmJ0Pmx2FnV01qnOP9oX9T7RuZ7aFjVnu+oZqnp+\n",
       "pt4nOnM1O4s5miOyM6H1XM+onrO+F9VR9rxzPd/bzKyzs9PFU1NTxTXZuaz68+i+2TnDesauWX5+\n",
       "NZ4d0VjMzv+dmJgo0mT9t+acWk2TnU0dXZP15+gsbp3z9JqavtrR0eHi6enp9L7ZueHLli1Ly6rP\n",
       "V3P2uNa9js2ofXt7e12sc4uWKzqPfnJy0sVar1Gf0PlHz8DWOozm2my+is6Nz86bz8aIWVn32iei\n",
       "vX5PT4+Lx8fHXaz1qvVhVvZFrfdoHGXX6D4uqrNsjC9ZsqRIo31N60TziNYjfd5sTJiVbaP31Tyj\n",
       "9o3aD8CZ1cxeOMvDrFz3svfBmr2DrmnR3iHbs2Trc5Sv5hHt/TVN9o4V3TdLU7OWKr1PtIZn+8ua\n",
       "suocnq01NWXTtSai12g5ojyyd+aa927tr7pXiL5X0mv0vroumsV1fzrds0TX6320bfTd1izfx0Xf\n",
       "ESjtm1qHUT1rmuy7qGjvEOXb6B5Rmqzv1cwbNd/NZGM+m4vMyr2vivZoWm/ZHBDNtdqPNE30XUXW\n",
       "b/Tn0buOlkXHVbSWaJtnYy/qI3ofvSZqG+1HuifPvjMyK98Xsu8AozRar5pH9N6SzeFRmuw9RdNE\n",
       "fVfbV+s5Wgf1PpqHlivKI9srRHOCli27bzRfKZ1borLWvN83KmeUR827OwAAz1esigAAAAAAAAAA\n",
       "AAAAADAzfpEEAAAAAAAAAAAAAAAAp/CLJAAAAAAAAAAAAAAAADAzs9bBwcHiQz2DseYM8Pvuu8/F\n",
       "H/vYx1z8qU99ysWvetWrijy2bt3q4t/6rd9ysZ6bbma2Z88eF1911VUuXr16tYu3bdtW5KHn4I2N\n",
       "jbk4OrMwO/P8bKLtG50d+OSTT7pYzzUcHR1N76PnLWq9RnloX/vGN77h4ieeeMLFP/vZz4o8tA/o\n",
       "fQYGBoo0Bw8edLG2r57rGZ2XumLFChcPDw+7OKrn7FzH+SI6D1f7RM05nppGz5DVs7ejsZidXRud\n",
       "46nnkmZnrkbntGZnnkfPm+WraWrO8tXni/qizlfaNtl5uVG+ej5uzdmuWdvUnBGdnfdsVtZRVCd4\n",
       "5tX0Tb0mOkM3O79a1/Rors3O5o3mDb2PzgGaZ8256XqfZs5Z1jg6E1vLUrOGa1mystbMV5ommmsm\n",
       "JyddrPWu5dB1IrqPtlVUR9m8oXlE/bmZfqV0jsvOXjcr60DziPqi7nW1TnROj9pK1wEVPa/Wmz5f\n",
       "V1dXwzyj+2ZnrZvl4zE739usrBNti6j9taxZv9J3MADzR7afjH6u83H2flTzLqh5RGta9K7WKE00\n",
       "R+pcqnE052n5szmvZp9X856SvQ/pO2b0vFonNeu+0nw1TVR2/azm3U6v0bLq2hq9P2m+ek20r9P9\n",
       "VWdnp4t1b6F7uui+WRx9pv2m5t09u0/0vNk7Rja+zcr27evrc3G0l8ruk93jV5XldNF+Uvdgur/M\n",
       "vkMwK/uItlX0nYH21+zdJ6LX1HwfkO399Fmisuvcou1Zs/fv6OhoeJ/u7u4izcjISMNrauZ07QPa\n",
       "3tGeVD/Ttqt5787qvaY/R+/MKnv/0zqK1s2s/WrmyZrv+LI8NE1Uz9l+IltromuyckVlydaw6B7Z\n",
       "u3sz35M38+6e7Z0AAHg+4y+SAAAAAAAAAAAAAAAAwMz4RRIAAAAAAAAAAAAAAACcwi+SAAAAAAAA\n",
       "AAAAAAAAwMz4RRIAAAAAAAAAAAAAAACc0tLb23tSP+zo6HDx8PCwixcsKH//ZPny5S4+//zzXXzs\n",
       "2DEXT05OFnk88cQTLh4fH3dxb29vkebcc8918ZIlS1y8c+dOF+/evbvIQ5+ntbXVxSdOnCjSHD16\n",
       "1MXHjx8vrpmvWlpaXLxw4UIXt7e3F2mmp6ddrM+7atWqhj83M5uZmXFxZ2eni0+eLLpi0Qc038WL\n",
       "F7u4r6+vyEPTDA4Ourirq6tIo/1V+0B/f7+L9dnMyn6VPYtZXAfzkY4Rs7LfHDlyxMVap2ZmixYt\n",
       "crHW2ezsbFoWbRstW1TP2ue1bFqOaA7QcaSitozmzrnmMddyRPR5zsTzRj+P8plLnjXXRONXTU1N\n",
       "ufhsmq+fS6K27O7udrH2eV17zMr+quNX9zDR3KNl0bloYmKiSKPzRta/29rais9076BrWDTnaZ3o\n",
       "XKs/j55X+7zup0ZHR4s0ukbrOqd1qM9iVraV5hHNcdoWWnZ9vqiedR3QOSBaw7Q99fn059ofzMo6\n",
       "0LJG99U+Hj3P6XRtNcvXiqiv6jjRPLSvRrSt9Hn152Zl+Xt6ehreNxoT2iey8WyWr3P6/FGdZX2k\n",
       "Zs3WcmhZo3Gk40brKJuLAOSyOdGsnL/0mmifP9d3u5o9eDN7fy1HzfcdmqamHNncqqI5T+tZ58lo\n",
       "HVTZ9x3RXinLo5n2rdk76H20baL76rqg99G9RPTuk7VV1L5aNr0m2+ealet69vxm+bu6Pm+0h9Hn\n",
       "q1n3szFe8w7dzHcVWb7685rvO2rKqvWo39nqe3dUz1oWHb9Rv8r2nDXjVb+fGxsbc3HN3j+ro6js\n",
       "2RiIxnzWX3WOi+YAfZ5sjJjlY17T1Mzx2Vg0K9919F1Wyx7N8VE9zlU2B9SsrVr2aOxpe+oY0Dmw\n",
       "Zm3ROKqPmnmhUZ7RZ9m7XpQmmvezPFT2Hm429/EaPW92je4Nzcr2m+u+BwCAsxV/kQQAAAAAAAAA\n",
       "AAAAAABmxi+SAAAAAAAAAAAAAAAA4BR+kQQAAAAAAAAAAAAAAABmZtbS1dVVHOC2atUqF+sZb7t3\n",
       "7y4yetnLXubi7du3u1jPwbvooouKPHbu3Oni1atXuzg642///v0u1jMZR0dHXazPZlaerXfo0CEX\n",
       "R+fiab5n0zl42Xm/0bmW2n7ZuY/R+fR6lm93d7eLtU7NyvYaHBx08fLly108Pj5e5KFnGGp7Rmdw\n",
       "6vPqOY+aJjqjsre3t2HZas6XnK9qzlwFgLlaunSpi3X+jj7LzqWN5ufszGA9/9isXPc0j2heVM2c\n",
       "k56dEazrbbSO6Lqu60+URq/Rsmo8NTVV5KF1r88XnVeu660+r66/NWcm632ittJ61vO8a9o3O5s6\n",
       "ykOv0XLUnBGttD07OzuLa7Qeo7ZolKdZOSZq6kjzyc5Jj/aT2tdqzu/Wvpidzx09r9ZRTVtk53Xr\n",
       "89fsn7Xe2X8BT52ORR2rZuW8ofNKtGfJ5jwd39F9s/fDaO6d6ztldN9sDY9k99V5NLo+u0+0r8vK\n",
       "ka2tZmU9znWdNMv3VzX7j5q9YXbfmjx0vcm+34ny0fVHn6+mb2brsVnZ5ppHFpvFbZ7RetQ60jyj\n",
       "+2od1OxZ5vpuE31fqftYvW/NfKVptP1r3rE0j2gc6TyYzZM1Y0LL1sy8oaL9lqbJ3vXM8vGqP6/5\n",
       "7q1mbtV8sj1qNGay97SojrJ9q5YrKnu2j4/qWfteNq6isdjM3j9bf7T/ap1GZcnayix/D9U0NXO8\n",
       "PktUz9o2Oveo6L5n4nm1rPr9h84jEb1PNLfq3JnVGQAAzxX8RRIAAAAAAAAAAAAAAACYGb9IAgAA\n",
       "AAAAAAAAAAAAgFP4RRIAAAAAAAAAAAAAAACYGb9IAgAAAAAAAAAAAAAAgFNaP/CBDxQf9vX1ufjw\n",
       "4cMunpmZKdL09PS4eHp62sUnTpxw8YIF5e+wHD9+3MWDg4MuXrRoUZHm6NGjLm5vb3fxwoULXbxk\n",
       "yZIij1WrVrm4tbXVxcPDw0Waj370oy4eGhoqrpkPWlpais+0Trq7u1384he/uEjz0EMPubitrc3F\n",
       "2nZRnZ08edLFY2NjLtZ6NzObnJx0sZZd0yxevLjIQ/ua1omWPcpH+6/2RX02M7PR0VEXd3R0uPjY\n",
       "sWNFGi1blO+zQcvV29tbXKPP20zZta00j6erPuZrvT9dnkvPG60lz1S/wVOX9cXZ2dkijV6jeeg6\n",
       "EcnWkmbmZ+2LNWuL7mEimubIkSMNyxWNCV1LOzs7XTw1NVWkyZ5X0+je0azcC9bMPVpWTaPrb9Te\n",
       "umZrP4r2G0r3OdonovbN9lf6bGbx3rZRntEePNrrnS7qE/p82lZ636it9Brtz7rvia7RetX7TExM\n",
       "FHno82ZjIvosi7UPmZX1mL2DmJV9L1ufsrYE8PSoeT/Ua3QOiNYjneOi/cXpovk6mo+yn2dznIrK\n",
       "nu1RovdurbeszqLnVTXz81zfbaL2VZpHdN9sDq8pe/a9StR22o90L1FTH1qWmj2q7p+a2QtrHtr3\n",
       "ar6/0ufVPUxE89A6jPpidk1N++peKNrHKd1P6D5H6z16/myvFI15ba9sLxjte7Tf1LzrqOy75Ii2\n",
       "jZZdnz+6JlMzT9Z8T5iNNc2j5r0025NH+aqacdTMPlbvq22hbRc9b9ZWNW2jZdU00busvoc0M7dm\n",
       "61zUN7O5NWrLrF51fNesaZomeha9b817dnbfZupZ1cy1Wo/aZ2rqCACA5wv+IgkAAAAAAAAAAAAA\n",
       "AADMjF8kAQAAAAAAAAAAAAAAwCn8IgkAAAAAAAAAAAAAAADMzKz1gQceKD7Usy5HRkYaxmbl2a56\n",
       "pp2eTxedYaif6bniNWcHdnV1NSxHdJagnoWo5YjOxdOyzVfR+X36mdbrgQMHijR6TqWmqTm3NDuT\n",
       "MjpDd2pqqmEeo6OjLq45HzY769UsP7+65txLzbeZ82Hnq5ozZrU9o3rOzrKtySM787sZNXlmZ2NG\n",
       "eTRz9memmbJmaWrquaasc01TU2cqWkuys10513T+0DN0dW6N2lev0bm1Zo7XPHTOj9JkZ9g3M19l\n",
       "5/JGn2Vri+6DzMo5W9fKZsa8nu+t67VZfhZztHZmZ2BrntG+Tq/J+llE89U8ly9fXqQZHh52sbZN\n",
       "NMfNdb8R5aH1qM8bpYnW8UblqjlHvuaMc+1H2Ziv6SPaF6P9pL6HZOfPR/0q6zdRnWZ9L4vNWLOA\n",
       "Z0M092TrcTR+sz2J3ifKo5k9uN5X57ia+TpbS2rSaJ3pfaNnydaB6L467+u6oPUazfHNlFWfV79H\n",
       "m5ycdHG0HmvZsj1MRPPQ53+6vofI9qQ172mqpn01rtn7Z2Xr7u4u0oyPj7s4+14pon1A+0jN3j+b\n",
       "A/QdJcqjmXf3bK+o9RPlkc1F0TUa6x4uGhN635r9s84D2X1q3ku1b9asJZlovtLn0e+nOzo60vtm\n",
       "e9+ozrL33Zp3juydOqpnLXtnZ2fDe0T5ZH2i5t85tKxRf9Y2r3l3VVm91owj7b/Z/iNKo/0qesfK\n",
       "aNmjPGrKlqXJ5uOa7/1r7gsAwPMVqyQAAAAAAAAAAAAAAADMjF8kAQAAAAAAAAAAAAAAwCn8IgkA\n",
       "AAAAAAAAAAAAAADMzKxVz081M+vp6XGxngu4du3aIo2eSajn0+kZhjVnJ+rZgdGZdtkZfdkZjtFn\n",
       "enZidN5iVP6zlT7L/2PvTmI0u+76/3+ru7rGrm4PSXAG21ghgxIUEiERZhDKBtgECZAQAoklQkiw\n",
       "QGIBCxawYVjCigULJFiwBSIkJCQkIhCwgIAymJDg2I7TbXd3dQ09/xb/kv51PueT5/Otm3bStt+v\n",
       "3Xnq3nPOPfdM9/bTz3dJXHiNndiJh9uJr6h107TGMXVSOZ0+kerlytA2eDP1GRc7UuOw6r3pxNHW\n",
       "uefmzZtDuhNPthOnVT9L8cldHno9qa86nbjoKsUC7dR1SdzsFOvVjRmdS9I60YndrC5fvjx9pter\n",
       "8ZuXxHbFN871TR3znfVXpdjbnfVI+7eLvX10dHSmerjxrGuli2mutL9qO6ZYxu4cvX637qe9kbaz\n",
       "uxY9pjPGtZw0p7vxrJ9pG7m9r5ara5j+/erVq1MeSvNw8cq1j6c2S/Gfq+Y53bW7HrO7uzukXT9S\n",
       "aS51Y0DPSf2qs4anPKvyGqZ/7+xZOuu+tn0aA0v2pAC+cWlf4D7TedSdk9YwPcfloeV0njHSs0za\n",
       "F7hjdO10ezQtV6+nM5+lNbxTV20z3ee4dULL0Tzc+qtrhT67ap5uf5nWbLd30DU6vSPp7PP0GLfv\n",
       "7Tz/raqXy6ND2z6t+521VNP6vFjV23OuOr5qHjdp/+E+S3uyw8PD6TN9/6p5uvGr/TM9U7l+ped0\n",
       "9nXpnYH+3Y3F9Mzoxp6e4445SxlVvfdIaS7VPDpzj9bdzXFpftZ6PIz3aFVz/VN/dv1K66Z5uLGp\n",
       "Y1zbvdM303O4e/5Nz9CdOUB11n1dK3Q90nbtvDfs7FH0elLf7FxL5/lJ+1Xao7lxlN6/dvoVAABv\n",
       "FfwiCQAAAAAAAAAAAAAAAKqKL5IAAAAAAAAAAAAAAADgBF8kAQAAAAAAAAAAAAAAQFXxRRIAAAAA\n",
       "AAAAAAAAAACcWHv22Wcf6Ifb29tD+t69e0N6Y2MjZnzr1q0hff78+ZV5VlWtra2tTLtzLl++PKRv\n",
       "3ry5stz19fUpD/3s+Ph4OkZpG9y+fXvl3125d+7cGdIPHky3YnL//v0hrW2k7e5o3bQeWkaVr/9p\n",
       "d+/eHdIXLlyYjtF2/dKXvhTLxbeG9qtz58bvnOkcUVV1dHQ0pN14VZubm0Na+6KOX/17Ve6brh46\n",
       "1lI9XN/UNtJ66JiomsdFGs8uj1QPbbOq+f5pvtpGerwrR69X50BXF233Th56jtbDzTV6jl5vZ67F\n",
       "N4f2gb29vSF97dq16RzXx0/T/uz6iI5x7Veuj6Txq2k3jrQv6jHu2jrzwGnahlXz3kDzdPs6bcc0\n",
       "p3fmSb0+/XtVnieUmze0XbVurp3TPJjunctjd3d3SB8eHk7n7OzsDGldS9Pe2JV78eLFIa1746r5\n",
       "nqf1No27qrz3r8pjTdvZ9ef9/f0hrWv4kv10Z/xqX9Trdfcm7bl1XtFrqZr7hLYR+2fgG7e1tTWk\n",
       "3bjSsdd5V5GeD3SucfOXfqZzq5uvdC7R5/DOuqh17bzP0broMW6eVEveVZw1j86alp7TOueozjNW\n",
       "6meOXk+6d1W9/bLS/pzeZ7ktc3w3AAAgAElEQVT+rNejY0/XPFc3bUfdCy7pI26/rfloXfX6O+8/\n",
       "OtK7xtSGVXM7apu5fqWfaT0670m1LnqOK1fbOe3rOu+EOu839JjOvKBS3dy90fuZxq+re3qm6rxX\n",
       "UZ0xkeYjt4/VuupziZ7TGb/aJu49eOoTei2u3DRuXBvp9ab1qPPOIL2HqJqvT58xDw4OpnNUenZ3\n",
       "5aZnKO137no1j857QpXaqLNH02Pce2+ti57Du0YAwJsVv0gCAAAAAAAAAAAAAACAquKLJAAAAAAA\n",
       "AAAAAAAAADjBF0kAAAAAAAAAAAAAAABQVVVrTzzxxBTATWPnaVxHFztSYxJqnEONI6dx46tyTNFO\n",
       "zEKNYdeJ6Zfi0btzNJZeir/n2kxj52k7uxiGKW5nip/qyk1xEN056fpcrEiNBanxUokl+OjSPtKJ\n",
       "a7lEiqfp+oiOxc74TfmmMeI+07SLD6tzTerzrp1T7HEn3ZsUG7SqN5eqFFO2E3s8xWZ29dB8mFse\n",
       "XXqvdG/gYnHr/dQ+oH3V3f8UI9mtg6m/6jhy41fP0TnBxdHW9TTFtHfrr7Zr2ve4fNLc4+qu90/b\n",
       "yNU17R/1et391b2g1kPnFVdOil/t7m9aOzrxrDXfvb29Ie1igKc42nq/q+Y+oefs7++vrGdVXn/d\n",
       "/T1r3OxO3PA0B7hztA909u3aR/T6nXR/tc3cONJ7rnk+jP0X8Fan64YbV2nu6Tx3Jy6PdIw7R+cw\n",
       "nb+0Xm4+02N0neg8Y+kxmnbt4+b9RPPVOV7/7tanVA/Xzmn9SdfvdJ7L0r3Q6+9cr+573PVqm2hd\n",
       "tZ+5tTTtr1xf1HP0GP17Zy3t3F89RstRel+qcp935abnlM68ovvpdP2unLSHce2c3kd25la9v+la\n",
       "XN1Snq6uSseRa3ftE1pXN37TM6T+3T0Pp3my83yU1oUle//Oc/eSPNL6u7OzM52j9P26zk+dvb8+\n",
       "P3Xe2S95/57GopvTtV0771JTuWrJu7fO3mHJvy+kunauN/27jntnoGO+s68BAODNgF8kAQAAAAAA\n",
       "AAAAAAAAQFXxRRIAAAAAAAAAAAAAAACc4IskAAAAAAAAAAAAAAAAqKqqtfX19SmAW4qpq3Efq3Ic\n",
       "T40j5+LGaXw6jeHoYjRqvi4u6ap6Vc3xJTuxa/WcFAu0EzNZr9/FwtTYj3r96T64YzpxaY+Ojlae\n",
       "o+W4+6DXQ+zAR1fqv+7+prilnTi8Svuq6zNLYmNqXfQY/bure4rj6crVdtN5oxNrXctJcaYflhQD\n",
       "3M0b2kYpfqiLD5tiej+MePT41tH+qnGH3Tp41j7Ric/e6c/af1M93Fjs7C9Uit+c4rVX5bHmrkXj\n",
       "nusxmnbtrNer+0cXm1zz6exRlM61169fH9K6v6ya2yjFVnfx2VM8a9dGab7SfV8nJrbG63Yx7LVu\n",
       "Kca7K1c/S+uxOybthTuxuDt/T3Hf9Rw3fpeMIz1HY21rOZ39c9pvATg7N08qnSc7+3aVnjk6c56e\n",
       "496R6DFL9g5pHejs213dTnNrelpbOu+R0vuOTjt3nu1UOsZdr7bzzZs34zm6Vui7miVt1um/qd90\n",
       "1nCl96bTN8+aZ1W+n6mvVs1tpPOGe25Jz9CujbRumtZy3f3VfaruP1y5aW7R9N7e3pTH4eHhynN0\n",
       "X1vl222VznNaet9Tlee0Tv9N7bqkXP37xYsXpzzSPLHkXVSnP6e51M0j6d1iJ480jjrjN80Brs2W\n",
       "3F/3fHtap2/qZ3rvOs+DSufWzr3SZ2Zda6ryvLFkLe20Ufo3p065D+M9cKcfAQDwZsAvkgAAAAAA\n",
       "AAAAAAAAAKCq+CIJAAAAAAAAAAAAAAAATvBFEgAAAAAAAAAAAAAAAFQVXyQBAAAAAAAAAAAAAADA\n",
       "ibW1tbUH+uGDB+NH58+fH9L379+fMjp3bvxOiuaxtrY2pO/du+cqszLtXLhwYeXf79y5E/NQen2d\n",
       "emxubg7pu3fvrkxXVW1tbQ1pbTN3Tqqb/n19fX3KQ9te768rV+n13r59O56T+oT+HY+OzthMfdGd\n",
       "o/dc5xHl+vOtW7dW5uHmqzSndcZ80unPWg89x+WR5lp3vSkP5eZnPUfTbt7Q+Tm1iau73nOda7QN\n",
       "q3z98cbw5JNPDukbN25Mx+i6vru7O6R1TnD7BO1HuqZpHlV5b5TWuKq5b3bmHt0rpH2NG0cbGxsr\n",
       "83BzgubTGfNKx6+es729PZ2T6pbavarq6OhoZTmu7qlunT2afqbt3mmztP505kltQ+1DVXO7apt1\n",
       "9u16L/R63TjSsab56tjc2dmZ8nD5ntZ5TtE203nCjbNOH0h10XbVNnRjQq9Xy+2s+wBW07nJzcU6\n",
       "Fjvrftq3pz151TxPpvnMlaNzWqfuOj9puZ33LGnv7/bxOqfp/Lxk//Ewng1cXbUu2kaddyZ6vVpO\n",
       "5/lX18qDg4MhrXvlqqrDw8Pps9Nc30z3orO/1D6he4fj4+PpHG0T3dekfUHVvL7evHkznqPXm96b\n",
       "uevVvtd5dtd8dHxqua5vpnq4fqV1SfNEp+6pjKq8X+6831kyt+o5ly9fHtL7+/ux3CXPg2kMdPZ5\n",
       "nX26SutRp2/qnKbHuPlZ+5qWo+NMn0k6eXTeCaXnJXev0vzceT7SNum8d1BaN+0zVfP6osd0/q1A\n",
       "8+j0CZ1bdQ5P/2ZTNbdRZzxrO6c9Sed9h3LtnMYn/64BAHiz4hdJAAAAAAAAAAAAAAAAUFV8kQQA\n",
       "AAAAAAAAAAAAAAAn+CIJAAAAAAAAAAAAAAAAqqpq7fz581MAtxR/z8UB1Fh6S+KHamw5PaYTB1Dr\n",
       "3slDz9GYhdeuXZvO+ehHPzqkNU7rCy+8MKRdDFZtE42N6NpIj0lxHzvtrPVwsRL1GI1z2InJmWJw\n",
       "4o3NxRQ9rdOvUhzpTtzhTkzs1Bd1/urEpe3ES1Wpri6etc4BWrdOfHatq+bpYttqHkvmgFTuknXB\n",
       "zSPMLW9c2uddX0xrWJqLqnKsbV3Tq+Z4zdqfX6/43Q8j7m6aa9z41f1Sis/u8tD7qbGL3f1N16fx\n",
       "y11M7OvXrw9pvZ8uhnLqR3p9bj+p96oTe1vvTYrVnP5eNc/Pro3S+qr3wd3ftOd2dU1zesrT1UWv\n",
       "193fNF41T9c3NQa41lVjglfl/YWmdR/k8k2xuQGcnY49N1+nZ2Y396R9ekq7cjvnqDTnubU3zVdu\n",
       "ntQ2Se+IdP52+WrdOnOetonmseR9R+d6XR9YVa+v99lpOzs702f7+/tDOj3rubVF30/pGufWff1M\n",
       "66b3e8mYcH0xrfNad62H09mzJGlvUZX3F+6cNNa0rro3rqo6PDw8c7lp/Go7u/Gre3DdL7txpDrv\n",
       "YlR6fug8P6Vy3X5a2zHNAa4u6b2SazN9tlmyNzzrHrUqv3/v0Dbr9E2t65J3UVqO9k03b6Tno0uX\n",
       "Lk3n6DsuPUfLcX1T769er6treu5c8u8rnb1C6r+dsZfWBXd/Xf88LfUzl0d6LnX5PIx3NQAAvBHw\n",
       "iyQAAAAAAAAAAAAAAACoKr5IAgAAAAAAAAAAAAAAgBN8kQQAAAAAAAAAAAAAAABVxRdJAAAAAAAA\n",
       "AAAAAAAAcGLt3LlzD/TDBw/Gj86dG79vsrW1NWV069atIf3kk08O6cPDwyF98+bNKY+9vb0hvb6+\n",
       "PqQPDg6mc77ne75nSD/99NND+qWXXhrSb3vb26Y8Hn/88SG9sbExpJ977rnpnNu3bw/pj3zkI0P6\n",
       "d37nd4b0z/7sz055fPKTnxzSm5ubQ/rHf/zHp3N+4Rd+YUj/5m/+5so8NF1VdePGjSF9/vz5IX33\n",
       "7t3pnLW1tSGtfUL7jKa75eDRpPe/c0ynT2g/0jzu37+/8nhHy9ne3p6O0Xx1PF+8eHFlvarmcXTh\n",
       "woUh7caeHqPzoNbr0qVLUx537twZ0jquHnvssemcNJfq3Hvt2rUpj6tXrw5pbRPXRlrXh3F/O+d0\n",
       "+h4eTdrnj46OpmO0P+v+I61P7jNd97XvVs19T+tx79696RyV+riW4crRPPT69fiqvN66Njrr9blr\n",
       "S2Pe1VXzSWNe5+9O3Vw7p/WoQ9uo0xe17+m90r+7Pfirr7668pjd3d3pnOvXr68sV+laUzVfb2ef\n",
       "l9r5YczfutY6ukYfHx8Padff9fp0ntB75fLR9M7OzsoyquYxru3q+jOAs9HnBTf36HrTmZ/O+gzd\n",
       "2dd2xryeo3NeZ++Qrs/VQz9LzwtuzkvPOm5+1nbTdFpbXTlaD/dMqe2o15/2m65uyj1Tpv2kPqd2\n",
       "9mgP43kp9TNXju5ZdD2uynth5fbxqS929g56r7QcfYdQNb8H7eyVUjtqXTvX25lrtJ21bp29stZN\n",
       "x6vrZ66fpLomes6SeaNzr9JeuPM8ofdP70NnD67luDk9zfudfW3ag7p7lebwJXPRkv68ZL+c3me5\n",
       "e5PySP2sar4+PcY9/+rY02OW9E2dn927mVQPLTeN96q5n3XaKI15d73pXcXDWPcBAHiz4BdJAAAA\n",
       "AAAAAAAAAAAAUFV8kQQAAAAAAAAAAAAAAAAn+CIJAAAAAAAAAAAAAAAAqqpq3cVa11hyGlt9f39/\n",
       "Oued73znkP7sZz87pN/znvcM6Z/5mZ+Z8vjrv/7rIX316tUh/eKLL07nfPSjHx3Sv/Zrvzakf/VX\n",
       "f3VI/9zP/dyUx8c//vGV6U4cQPUTP/ET8Zif//mfH9J//ud/PqR/5Ed+ZDrnz/7sz4a0xuP79V//\n",
       "9SF9+fLlKY8//uM/HtKdGLoqxRvsxDvGG5e7v9oX9ZhO3NLHH398SL/yyitD+umnn57y0M8+85nP\n",
       "DOnv/u7vns65efPmkNb56tVXX53OUVr3d7zjHUPaxcbUuVPbTOOJuji8Oh9r3OWvfe1r0zmXLl0a\n",
       "0leuXJmOOW1nZ2f6TGM+v+997xvSzz///HTOF77whZXlpDjxVXM/6sQgJS7pG0eKzeviWadY2504\n",
       "yymOtKtXihOejv96dUl/17VT46YrV68UF75jSUzoNMc5Go9b0xrv+fj4OOaxJCa2Xq/eTxd7PJXj\n",
       "2j3FvdfYzG4PnubSg4OD6Ry9nhRn2vVnbYNOLGrtv5042Urvr+bh5o3UF/UcFxNb+5q2kbv/+pm2\n",
       "iebR2YMDePjSXsJ9luZN95mu6TqfueflVK6br3Tu0Tlcy3VzvNI5352jc7weo9firjfNrW4vofmk\n",
       "51L3Dkzf+Wjd3fqrbaLl6nObu169n5qHW9N03Uv3V/dOVfO90Gc99w5M743WrbNX0nP0Wjr72LR3\n",
       "cntULVfbyF2v1l+fqfWdQafN0r6gKreJXotrs/ReQa+/U67m6e5v2tctmTc6z/9p/+Tqmt5P6t87\n",
       "ezSdj90eXOm90D7RGb/KtXPnGfk0t6/VOU3fq7n5SttN66HluDUtzRudZ2jtA/r3zjskPWbJe6c0\n",
       "nqvmuur1uv6cninSWuPO0XJdv9O6uP66qh5V+b2Cq2vqR53xquXqvXD3BgCAtyreVgIAAAAAAAAA\n",
       "AAAAAKCq+CIJAAAAAAAAAAAAAAAATvBFEgAAAAAAAAAAAAAAAFRV1bqLnahxDz/2sY8N6X/8x3+c\n",
       "znn/+98/pL/61a8O6b/6q78a0p/85CenPDTu7D/8wz8M6Z//+Z+fzvnpn/7pIf3e9753SH/uc58b\n",
       "0nptVVUf//jHh7SLbar0mL/4i78Y0t///d8/pD/wgQ9Mefz5n//5kP7lX/7lIf0nf/In0znf+Z3f\n",
       "OaR/67d+a0j/1E/91JD+y7/8yymPF198cUh/13d915B+97vfPZ3zd3/3d0NaYwl24hGmOK1L4kvi\n",
       "9aHxJjXtYnIeHx8Pab2fbgz893//95DWvvn4448PaR3fVVX/9m//NqS1n33mM5+Zzvn2b//2If30\n",
       "008PaY0R7WJyPvHEE9Nnp+m1Vc3xfzU+t8bgdPFFtZ13dnZW5lFVdeXKlSH92GOPrUw7L7zwwpB+\n",
       "8sknh/RXvvKV6Zwf+7EfW3nMa6+9NqSvX78+5aGxa3XucfMGc8kbR5prXBxevb8pPq6LuavH6Fhz\n",
       "Y17HVopN7eZJPUfz7MR0T/Vw+7oU/9fVtRPnflWeVXM7ptjrVfP9vXHjxpDW693b25vy0HjdWnd3\n",
       "LdpGOtdqXd38rDHOtQ07ccP1nGvXrg1p1++0nXWtcfHq0zF6LS4PvZ40Nqvm69M1W9vV5aHrQifm\n",
       "u67rev1aD+1DVfleufub9stnnVcAvD4685dbs07r7B10/XHzxlm59SjVo7MP0OvRudedk+qia4tr\n",
       "M217bfcl86SWo2t81dwm+ozl7v/h4eGQ3t7eHtLaZm59Su9IluzrlKu7tolei7s3+lnag+u1Vc19\n",
       "RNdjV1e9X1qutrvrh3ovlCtXPzs4OFhZjyXPpW7vr/dc66Ht6u6/lpv25E7a5+h4rprbXq/PnaPv\n",
       "VvUcnWtcm6Y5zfXnlIf2q858re3aWUs0X72/nfGr9D2TK0fvlbaZGzPa9pp2Yz7loW3kyk3jV+fr\n",
       "qnm86r25dOnSkNZnzqo8P3eeoVWnL+r16jzp+mJ6v67X0lnD07sLV1ftrzqeXftoXXWe6LxnSHs0\n",
       "J90L3jUCAPD/4xdJAAAAAAAAAAAAAAAAUFV8kQQAAAAAAAAAAAAAAAAn1j7ykY9Mv8ulP2emYSD+\n",
       "9m//dsro2WefHdLf8z3fM6RfeumlIa0hDaqqfumXfmlI/+7v/u6Qdj/P9wd/8AdDWsNc/P7v//6Q\n",
       "/sM//MMpjz/6oz8a0houx/1suoatuHr16pDuhPXQn1H767/+6yH9T//0T9M5ei/+93//d0j/4A/+\n",
       "4Mp6VVU99dRTQ/qLX/zikHahbX7gB35gSP/7v//7kH7++eeHtPuZvPRzhHh06c8RuhBR+jPwH/7w\n",
       "h4f0f/3Xf8V8lY4j95OVOl/90A/90JB24+iDH/zgkNawWjomNERL1Ry+67Of/eyQ1p/Rr5pDzKSQ\n",
       "Qe7nGdPPpepPsFbN90brpj/76eg8+L3f+70r61U1h0XT69N5VEORVc1zXCfsAT83+cah90/nFvcz\n",
       "pvrzx+knz91P7Kafau78LK+W0/mJ6PRz7Z0wPOnngDs/b935Ke7UjulnbF1d0vVX5Z9F13Ncu6ef\n",
       "vXd/17qmftWpe+cnolX6WV43x2vddE1zPyOewtKkn6+vyiEaOj8HnNrI7f1TyDP3M8V6TAqp0/nZ\n",
       "5U6fSD/nrNfn2kyvV9u58xPZAFbTn413UsiGTnirJetx2tcuCXugc6A7PoUw6ISY0Xw74QfTz/F3\n",
       "1tJOu6ZyNQ9X1zTHp7AInXI7oRM0rc/MLtRLCtPh+oSuWXqM1sPtP/QzfQ51/TmFilCuzVI4yc5a\n",
       "qs8p+ozd2ccr935DwwxpH+k8PywJr6HzYArN1Bm/nXZNoV60jVxoqk7dkhS+y80jqe6deVLnCX22\n",
       "ceuT3t8017q66ljsPNumkEGdeSOFD+3M1+n52OWb2tlJoTBdX0zPkJ3npdSvOmMvvUt1YTzTXOPq\n",
       "+jDWBb0X6XnRlZOu30n3qjO3dvoiAABvBvwiCQAAAAAAAAAAAAAAAKqKL5IAAAAAAAAAAAAAAADg\n",
       "BF8kAQAAAAAAAAAAAAAAQFVVrW1sbEwB3N7//vcP6VdeeWVIuxirR0dHQ1pjzWlMdxfz/KWXXhrS\n",
       "73jHO4a0izX3iU98Ykj/z//8z5B+17veNaT/9V//dcrj5ZdfXlmuu16N4ZdiX2osxar5ejTW3vd9\n",
       "3/dN53zoQx8a0s8999yQ/tSnPjWkr1y5MuWh90qv7/d+7/emcz796U8P6f/4j/8Y0m9/+9uH9Je/\n",
       "/OUpj3/8x39cWS6xBB9d2r87sbg1nqg7R/tiiiPuYlRq33vb2942pF999dXpnPe85z1DWue4y5cv\n",
       "D+kbN25MeehnV69eHdJuTkixqPV6dd6smseNtnsnjnaanz/84Q9PeWgMVY1nff369emcj33sY0N6\n",
       "b29vSGsc4n//93+f8tB27cRZ7sSdxaPp0qVLQ1r7iPss9e9ObNtOPHrtVynOcicPravr39p/ta56\n",
       "jptrU7xjNzelGNh6/W7OS3slV1c9Jt2rTh7aZ9yeTNtA96n6dxdXW+dSXQd1zavKc5rWfUlM7E6f\n",
       "SOe4+6vH6L1yY0DP0djiGjfbzQFK28TF3tZ7o3XVNb0T017L7axPeozWtRM3PMXmBnB2Oud39vE6\n",
       "P+mcX5Xn2vQ+oGpes9JewtUt7Y3cXKttoPOTe0eS1ui0brhytG7u3ug8mPZOrs1UZ6/UyWdVPVwe\n",
       "er3uOSaV21nDlZbr3tfpPkbvla5Xbr+V9r7unMPDwyGt/bfTn3UfkMaio32+s4/Xz7SunXuT8nQ0\n",
       "386eNO3tl7SR5unG/FnbwB2v7erKUbpP1evTurs5L91fR8/R69G5xu0NtY93ngeV9on0jO3qoue4\n",
       "vX+af5c8pyk3Js76TOnmPD2nM29o/fVZZ2dnZ0i7a0vrgOZRNc+T2s5pL1E13z+dJ9y9SWNN83Tl\n",
       "dt77qjROOs+QS9ajdG949wgAeLPiF0kAAAAAAAAAAAAAAABQVXyRBAAAAAAAAAAAAAAAACf4IgkA\n",
       "AAAAAAAAAAAAAACqqmpte3t7CuCWYvhpfNGqquvXrw/pFI/v8uXLUx762bVr14a0i0n5/ve/f0j/\n",
       "0z/905DWeHwuVmSKMepi+GkbaFrjw+7v7095aAxGvT5XL40V+OEPf3hIf/WrXx3S73rXu6Y8nn/+\n",
       "+SH9sY99bEi/733vm8754Ac/OKR/+7d/e2VdXR/50Ic+NKT/5V/+ZUh3YhjiW0Pjh3biO3diBl+8\n",
       "eHFIa1xPHXuuX6V+4+qqc5zOT88999yQfu2116Y89LNOHE8d41o3bSMXD1frqufo3FNV9eSTTw5p\n",
       "nY9SjN2qqo985CND+j//8z9X1quq6id/8ieH9Kc//emVdX3mmWemPLSdr1y5MqR3d3enc/T6tF8R\n",
       "t/TRoeNmb29vSOtYrZrnhRTvuBMzWecW7TNV83hcEic9jd8lddVx5PY5Osbd3KLOGu/YHZ/ihqd4\n",
       "166cTixuHeOdGO/abqlfuTz0M71Xbr3S+OTa95bEp9c83f45jZNOvHpts04M7LRmp3j17rNOTOwU\n",
       "e1vr6vqV5ttpo9TO2kfcXkLHuPbN9BwDINN500lrthuLOvfovKnvWdy+R8d8Z7+h86LWI63xju65\n",
       "3V7prGuWm/PS+tuZn7WNdI7Xdq+a10otx835aS/YWVv0erVN9J1R1Xy92s6a7qwTqd3dZ6l/u/uf\n",
       "9gpuH6vj8+joaGUerp2VtnNnr5T6s6u71kWfBVy5Wje9Xv17Z++v41fzdPloWtvDvXfQ/qrX3ylX\n",
       "72dnDkj917VRKkf/7u6/3k+th1tbtN00385+WvPVdnfvn1WaJ9z8nNYf10aaj7ZRej7ulOPur5bb\n",
       "GXsqza1unkzPHMo9l6f3V511Ie1R3DjSfqV91fXFNE927u9Z54DOMdrunX6l3L1Jz2G8awQAvFnx\n",
       "iyQAAAAAAAAAAAAAAACoKr5IAgAAAAAAAAAAAAAAgBN8kQQAAAAAAAAAAAAAAABVxRdJAAAAAAAA\n",
       "AAAAAAAAcGLt3LlzD/TDb/u2bxvSX/va14b0+fPnp4zu3bs3pNfX14f0Y489NqRffvnlKY+nnnpq\n",
       "SN+8eXNIHx8fT+f88A//8JC+cuXKkP785z8/pG/dujXlobTu587N37e5f//+kH7mmWeG9P7+/sq0\n",
       "K0evd21tbTrnXe96l6nx18/DlbuzszOkL1++PKQvXrw4nbO7uzuk//Vf/3VI67VoH6qqevBg7Gov\n",
       "vfTSkNY2xaNDx8CFCxemY9L9c+fomN7Y2BjS2mf071VVh4eHQ1rHjTvn6aefHtLaF+/cubPy+Kqq\n",
       "V199dUjfuHFjSGvdq+Z5UuvqxrzSY7TddSxWVW1vbw9pnSd0TnDzpM4Beu/071XzWqFt9J3f+Z1D\n",
       "+stf/vKUh/abF154YeXfq+Y20XZ39wbfGtqfdf3R8V0196u7d++uzNPNTXqMGzfq9u3bQ1r7XmcN\n",
       "0/mosyfR+VfrrtfvuH3bWaVx5Mai1k2vxbWZ1jXNcXpfquZ27swBZ50XXJumvtcpV/NI979qXrNS\n",
       "vb7eZ6dp3d1aquVqH3D10uvR69f1qrOWbm1tDWnXrzp77FRuqnunD6V1X6+/ap4n9PrZPwPfuM3N\n",
       "zXiMrjdL9hudZyqle27Nw+1h0jNHZw3XPDp7mLTuaV3dHkbXV81D6+XqluZJt4br85DWzZ2TnkO1\n",
       "HlqGy0PXAbeWpnbUPuL2SilPd716z1P/dnnoMUdHR0Na13RXruar6SXX69pZx4WmU3tUzfdc77d7\n",
       "16j3U/t3Z3+Zno/cvJHGif69855Uj3FjPs1Pnf2V9pvO+NVjdB3Qv7v30VpuZ75K+zatq8tjb29v\n",
       "SOt73yX9qjOO9BzN0/UrHSeubqe561WdZ0rtV3p/9fqW9OfO9Wq5+r5D3ys6nXd+OoelZww3FjUP\n",
       "7c+dOV3rmtYJV66e48pNz9Cd53+d09O/a1XN7daZjwEAeDPgF0kAAAAAAAAAAAAAAABQVXyRBAAA\n",
       "AAAAAAAAAAAAACf4IgkAAAAAAAAAAAAAAACqqmrt3LlzUwA3jfPYiS2nNO5diiteNcef09iBX/va\n",
       "16Zznn322SH9wgsvDOnnnntuSH/lK1+Z8tC46Ro70MWGTHHgtc1cHECN86cx/VzcYY2v+M53vnNI\n",
       "X7t2bUhrDNaqqre97W0r8/zf//3f6Ryt23d8x3cM6VdeeWVlPaqqLl26NKQ1jiexBB9d2n9dHHGN\n",
       "b/zYY4+t/HvVHGNV+0SKf+xoni6u5eOPPz6kX3755SGtY0/noqqq3d3dIf3aa68NaTdvpLjRes7l\n",
       "y5enPHRu6cRZ1rGlcT2feeaZIa1zoqubtpGLsar9xM1pq+pZNd/PFMe0Ks/HeHRof00xwKvyWtFZ\n",
       "fzVfjV/u+rOOgU6ccKXXp3l2xkCKee76u86DWlcX0z3F/1UujxQz2c3P2iYpRrK7V2l/5do5zRN6\n",
       "jt4XVxedr9y6oHXVci7b5hUAACAASURBVFK7V+U9trs3Kf681mtJPTpzr/aBTmxqvZ7O/vn12GOm\n",
       "urtjdH1Ka1zV3G+0nM69AbCavv9wc4aONR2Lbq5Ne4U0F3d05ng9xq1hKu0DXF3TPl2vX+fEqnlP\n",
       "5p4hla5Z+gyieXT2bHotbq7V+qc9i8sj9SP33K1tr+te5xla1xZ9B+baPV3P69Wfk86+J+1JO/nq\n",
       "mt55FtBj9H529qQ6FnX8uv2HfqbvLtyeND0f6fW5Pfjx8fGQ7uyfXV1O03Z3baZ10zzdflLrn94D\n",
       "u7rrPHH9+vUhre3u8k3PPlovd05nzGsb6Lu3dLyjfeZhjKvOvxXo9esaXjXPz+kZq/MerfNMme6f\n",
       "zq2u7ukdgSu384x8mrve9L7SrdkqvZtwfUTHkY4192yn5ej1dt5FpmfKzrzR2RsBAPBmwC+SAAAA\n",
       "AAAAAAAAAAAAoKr4IgkAAAAAAAAAAAAAAABO8EUSAAAAAAAAAAAAAAAAVBVfJAEAAAAAAAAAAAAA\n",
       "AMCJ9fX19enDp556aki/8MILQ/ru3bvTOWtra0N6a2trSN+7d29Inzs3f4dF6/LgwYMh/c53vnM6\n",
       "5+bNm0N6c3NzSGvdb926NeVx+fLlIX10dLSyXlXz9aqNjY0hffv27ekYbSOtm7tezVfvheah7e7q\n",
       "otfrrk3reuPGjZXp7e3tKQ+9V3p/8ejSe+X6lfYb7RM6Nl0+Oi/cv39/SGv/d+do/z4+Po7lajma\n",
       "Pn/+/JTHlStXhvTu7u7KPKrm8ar5ahu5dtbrSXlUzfdPx/Orr746pN34PTw8HNJ6vZpnVdVrr702\n",
       "pHUu1Xvn5mfVmeOYW964tD/fuXNnOkbHlt5vnYs685X2Kzfm9Zy0Hru1VK9H6+76bspXx5Hbs2i5\n",
       "mofbo2i+qVx3vXo9Fy5ciOdo2+sxbm5N3L5V6f1MbeT6SOq/ae/o8uisR2ntdG2m56R1sVN3zcPV\n",
       "NeW7pFy9N24cad/TPpHmEWfJOel6Wb+AR0NnTevMz+6z09L8XZWfl9y6r3NcKsftlRL3XJbWWy3X\n",
       "1V3fTXTm2rSv07+7+6LPMloP10aajx6T1taq+dlN9w5uL6xtn/ZknX2QrqXu3qQ+39mjpXW+s4/V\n",
       "6+2snboP0Ot1dde6aR7az/TvVXPbp3RV1cWLF4f0/v7+dMxp7t2qtknnGVrrn8aAmwO0T2jd3PWe\n",
       "dS/k+ojWrdMn0r4tzStVcxvp9bt3UVp/nQPSO15XjvbnTl9MY68z13b2vpqvjmf9u+ubaR1056Rj\n",
       "0tzrdJ7dn3zyySF9cHAwpHWtcX1Ex4Rei7u/en3p3UWnX+kxnWfKxK2/6ZnZ9TO9Xu1HWvfOXim9\n",
       "7wAA4K2MVREAAAAAAAAAAAAAAABVxRdJAAAAAAAAAAAAAAAAcIIvkgAAAAAAAAAAAAAAAKCqqtZd\n",
       "nDiNJadx47a3t6dzNDakxmjsxJfUmH0aS/C9733vdM6XvvSllfXY29tbma6aYxhqrMTPf/7z0zmX\n",
       "Ll0a0t/xHd8xpD/3uc8NaRc/9OWXXx7Sly9fno5RV65cWVnXj370o0P6v/7rv6Y8rl69OqQ1RuPj\n",
       "jz8+naNxWTWOo8ZodHEed3Z2hvTh4eGQJi78G5veP43t6+KW6njVGJTaN11szNSPXFxLnZ90HL39\n",
       "7W8f0i+99NKUh8YH1Tx1jqia6//aa6+tLNeNI81Dy3XziM63eo7eGzc/61qh83OHtpnWdUlcbRdj\n",
       "VY/p5ItvDR2v2s/c+E3rTSdueooJ7WIkaz4PI157qpfLN8W9d3loXdy4SXXRPLRcd71LYhXreNV6\n",
       "6N87eei+dUlM6PR3V9fUhlVzO2o5ndjjqjPndeqW6Dmap1v31ZL5OcWSd22WxmtHih3v5o1UN53P\n",
       "ltxvAN84nc/cs3uar9zaqntuPUbnSTcH6Dk6f7m5R+eW9G7GXa/mm55BXLl6fdqGbu1ZMsdrvlqu\n",
       "zt+d69W0XltVvhfuHJXuTedZNj37dPqVcvdG203z1edyt0fTcjvPdtqueo62sxsT+pnWzY1vvV59\n",
       "d6HXr3+vmt9npHFVNb97S88pnXGU5qKqPH51LHbmHj1H01W957DTOnNP6mfuGNV5p5D2k5337Ur7\n",
       "hKunftaZe7R/ah/RenWeDdKc4Oqmbab9zD0/pP2x61dpz6316jwfd9ZffU+Wxqu7tt3d3SGd3ue5\n",
       "fDXd2W+kPF1/136U5uvOOHL3U2k+6Z2J61edeQIAAPx/+EUSAAAAAAAAAAAAAAAAVBVfJAEAAAAA\n",
       "AAAAAAAAAMAJvkgCAAAAAAAAAAAAAACAqqpad/EZX3zxxSGtcfFc3DiN/Zhi+br4dFqXS5cuxXL1\n",
       "s6eeempIv/TSS0P6He94x5THk08+OaQ/85nPDOkf/dEfnc65fPnykH7llVeGtF7fM888M+XxiU98\n",
       "Ykj//d///ZC+ePHidM7LL788pDX+4Fe/+tUhrfEZq6qeeOKJIX3jxo14jpajMRk17WKBupixeGNI\n",
       "8TWr5nt+fHw8pF0MTv1Mx7P2Oxcrc0l8Z81X43q++uqrQ9rFmNV4sFqPq1evTufo2NMxrvOKG0d7\n",
       "e3tD+oUXXhjSbp5McXi1jfTeVVXt7OyszMOV2+k3q453+Wqf6cRPxaMrzQHu/mo/0rHYiT2uebg4\n",
       "wyrFM9Z5wo27FGu6U1dtIzdPJNqubh7VNkn3ysVM1rql2M3uHK1rqofLt7P/0OvVPLQe7nr1Xmmf\n",
       "0HjXVfN8q9eTYs27z7Tubg3TctJa6uZvbYNOHG2tS+pnbmym8equJcXeTuPZlavX2yk3xSd3bQbg\n",
       "0ZDWTjc/pzlA83Bzj+5rOvO3zi1bW1tDWvcobv+hdL/V2TtpvmkvVZXnZ7ce6THb29sr6+X2BXp9\n",
       "nfU3Pad03qPpOboPcvtJvZ9pT+bK1XbUunbe56Q1q7Omdeqq9yK9M3Dl6jmdPYvu0bSPdPakmoe2\n",
       "q2tnrYvm0WlX7TedPYvWX+936quunM6zup6j74H39/eHtLv+9Izl/q51S+Oo85ym3DyZ5v00Nt1n\n",
       "mqcrV+uf3hE5Wq6W4+7NWZ8hO//eoO/v3PWmPbc+l3XWNM1T61E1t6ten96rzjsw7as6F1XN9ddy\n",
       "OvNkWn/dGNB805jozF96/e5dpNY11d21c3o+dHOcXi8AAG8VvK0EAAAAAAAAAAAAAABAVfFFEgAA\n",
       "AAAAAAAAAAAAAJzgiyQAAAAAAAAAAAAAAACoKr5IAgAAAAAAAAAAAAAAgBPrW1tb04fHx8dD+v79\n",
       "+0P63r170znnzo3fSTk8PBzSm5ubK/N0eezv7w/pu3fvTufcvn175TmPP/74kN7d3Z3yWFtbG9KX\n",
       "Ll0a0p/+9Kenc/SY7e3tIa3XcuvWrSmPl19+eUjfvHlzSN+5c2c6Rz148GBIa7trvVw5em+07lVV\n",
       "58+fX3mMpl3dNzY2hrTeOzy69P5euHBhOkbH587OzpDWflc199+U1r7qyu30Ra2/zhtars4RVfPY\n",
       "2tvbW5l2+Vy9enVIP//887Fcrdu73/3uIa3XUlX17LPPrsxXy+3cX3VwcDB9pmNey3V9IuWh84ab\n",
       "r1I/wqMj3Rtde5zUN10Zmq/2TbdHScdoPVy5Om/o3mBJX9U9WWf86rzoytWxpeWsr68PaTdfpf1j\n",
       "p1zNV8t1eei8ofNTp521XN0vHx0dTedov9LrdfserUtaw1zfVHr9boykdb0z17rPEr0ebTNNu/2z\n",
       "0rq755Q0TyyZAzp/T+doO7vnMgDffO75QeenNK84+nykc1xn7tG5160taU7rvKvQPNzcqvQYLTfN\n",
       "iVXznN5ZB3QtTXXVvYTLo/OuQttR8+hcv67ZWnf3/Kv5arnahm7Pom2g1+L6t+5j017B3Yf0nO3u\n",
       "jZaT3k25vXDqI25vqHVJ48jlodeXxnPVfL/SfqvzvJT6TNU876V748aI66+r8qyar0+vX+vqrlf7\n",
       "q44rN49oP0nvlVzf1HPS84Ori7Zj516lOa7zvl3vVWrDqvnedOb0NC8qd3/Tvzd03tfpMXr9+u8g\n",
       "Lg9tI61H1fxvDmmdd+2hbaZ5undv6Rm6s6anPDr3Ri0Zv1puZw1L+x43frUNOmsYAABvVfwiCQAA\n",
       "AAAAAAAAAAAAAKqKL5IAAAAAAAAAAAAAAADgBF8kAQAAAAAAAAAAAAAAQFVVrW1sbEwBFzUOnMaS\n",
       "czGDVYpX7uKWar4aT7ITw0/j4L373e9ema6q+sVf/MUh/Ru/8RtD+saNG9M52iYa90+v5f3vf/+U\n",
       "x7ve9a6V6b/5m7+Zzrl+/fqQTu3q4hWmeL8uFqZeT4qh6/JI5brYn3g0dGIXp3jHGhPcHbO/v7+y\n",
       "Hi5+qMY2TfNX1RynVI/RuJ2dWL4f+MAHhvSVK1emc1544YXps9M6cVqVtsmv/MqvTMfoXKLXq3V1\n",
       "sV7TvO9ineocrtfTicWt9/NhxKfHo0PH1t7e3pB2YyDF0O3Eo9f5SuMfuzGQYpprf3drntY9xeZ2\n",
       "dU316MSqTvGAq+Z21LHX2QvqXJP2TlV5r6D1cHmkvaFbS7RuDyP2eIpN7cpZEo8+Xa9bf1M8di3X\n",
       "9c1UN7fXT/1ZddpZ29D1iddjj5ligi8pV+eiqnms6fWmWPMAMt2DO2mu6YxFnTc6c3x6r7JkTdO5\n",
       "xpWr16f1ODo6ms5Je5ROG6W10+Wh7x503uzsHbSNtE+4dTBdj96HTt11D+req6S9sF5fZy3Sctz6\n",
       "rP1E+1F6Z+Tqos/lnX2se+48ze3hOn0g0b2+1t3VS8vRNnT396zvY921pOcS1xd1jOsxnT2c5qHl\n",
       "unO0HM1Dy+3cXz3G7YVVegZZ8rzk5g29f2nO67SZlrtkrk3PPlXzvdA2cX1Ry9E+r+3eebZL74hc\n",
       "uZpv59nWvUs8rfOckvqEu14dAzrXHhwcTOekfxtI1+/y6Dzvp2fX1FcdrYcbR2l/0XmWTf3ZPZfp\n",
       "vN95DgUA4M2AXyQBAAAAAAAAAAAAAABAVfFFEgAAAAAAAAAAAAAAAJzgiyQAAAAAAAAAAAAAAACo\n",
       "Kr5IAgAAAAAAAAAAAAAAgBPrDx48mD68d+/eypMuXbo0fXb//v0hfffu3SF94cKFIX3+/Pkpj42N\n",
       "jSF9fHy8Ms+qqu3t7ZXn3L59e0h/4AMfmPL453/+5yGt17+3tzeds7u7O6RfeeWVIa3t8YUvfGHK\n",
       "Q6/n2rVrQ/rWrVvTOTs7O0P65s2bK/O8ePHilMedO3emz9I5Wo7ez/39/SG9trY25XHu3Pi9pdTP\n",
       "8OjQeaJz73SMu3NcP1mVh46rqnmMr6+vD2ntd46OGy1Hx11V1cHBwZDWMfDyyy9P52g+R0dHK8t1\n",
       "7aPH6Lz5p3/6p9M5Opfo/HV4eDikXZvpvdB5xN1fbVe9Hj3niSeemPLQedH1Abx5uTGgn+n85PY1\n",
       "KQ8dizququY+r+VoHo7OTzoGXP9O19sZE2kedHloOWlf5/ZonXVApXw79zutLe6cdH1ad9emen+1\n",
       "XV25Wo7SfqdlVFVtbm4OaV0XNV01t5Hmm/aKLl/Ns9MnUn927ZyOcc8Yeo7eT61HZw7Qe+faWfPR\n",
       "PPQ5xvUH144AXl9uDtD3DB06P+lco3OCzudV8/zVWVvSXkjnK7cPSPPm1tZWPMfNi6d1njl0DnTn\n",
       "pH2OtrNbJ1Sqe1V+f6Xluv2JtquuC2491nLTWuP2X3p9eow7R9tZ9776rOveZ2nd9N2TPpdWzXsU\n",
       "TWs9XDun9xmuP2sbpTnArddarq7z7v5qO6d9jstD66LnuPcb2vZpz+b2LJ39Y5Kej9z8pvdP51I3\n",
       "t6YxrvVw91fL7ZyTnnU0D7f3T886nfexeq+0T7i6p/1zZz1y88Jprl+l5zA3p6dzOu8J07OrztdV\n",
       "83tCPUbT+q69am4zzbPzbKDtrHm6MbHkWUfz1WPSM3XVfC867zd0XGif1+tf8ozVeUcCAMBbBb9I\n",
       "AgAAAAAAAAAAAAAAgKriiyQAAAAAAAAAAAAAAAA4wRdJAAAAAAAAAAAAAAAAUFVV6y4mXIrl687R\n",
       "eKEurvBpGuOvao4/9853vnNIu9iB+/v7Q1pjI7744otD+lOf+tSUx/d93/cNaY3p52Lgabkaj0/r\n",
       "8fa3v33K44Mf/OCQ1nb/0pe+NJ2j7abn6L1xMf00JqMe4+KaXr58eUhfuXJlSGtsW3evdnd3h7TG\n",
       "YCXW4BuH61fa5zX25ZK44joWO7FeUxxTl0+KM+ziuO7t7Q3p559/fkhrf6+a+7jOk3q9Lh6u5qFx\n",
       "eZ966qnpHB3zX/ziF4d0mkeq5jbrxDHVOKQpxur169enPFK/cm2UYsnj0aH9SvteJ86yprXPuPuf\n",
       "YiJ35pGUZ6ffdWKNp1jUWo7LQ4/RNnJjXseWzoupXu4cvd9uTte66DGdWNypXCddb1o3qnLdO/0q\n",
       "9U13r1KbuOvXz1JMe3e9qS+6c/QYvV6N153qVTW3q2vn1AdS3Piq3M6d8ZvWJ9Yr4FujsxfW8dl5\n",
       "dtU5YMn+I+193byh5+gcqOcsWSddualN3LqgdP51e311dHQ0pHU+7qyLSo9xc7zWVY9Je5iq+XlI\n",
       "nw9dX9TP0v459TuXh3ufl/qVPu+7uuuzq77f6uz9tc203d0arn0v5fn16nJaZ2+o+er1d/ZKWg+9\n",
       "PvfeQd+1aTnuenUPlt7FuHck2tc6zxxarubb2W+ld03aHq5uaZ7ozPmduSXtlzXtxm8ae65f6Tn6\n",
       "PkvbvfOc1plb0nukzj4+PT+4c9L96lyLfrazszOk3Xtvfffmxslpru46T2g57t6kfqXnuLVV66Jz\n",
       "TWe+SjrPw539hh6T5gC3LqT3N51xBADAWwW/SAIAAAAAAAAAAAAAAICq4oskAAAAAAAAAAAAAAAA\n",
       "OMEXSQAAAAAAAAAAAAAAAFBVVeuduOkaN87FAdQ4lRrTT+MPahzMqjlmnca67cQf1DieGuPuypUr\n",
       "Ux6f/exnh/SlS5eGtIvjqW1y7dq1Ia3X52L6ffnLXx7SGofWxfhLsda1PVxsWz1Hr8/FcLx8+fLK\n",
       "fPVeufiSWvdOjFE8Gjrxf1OsbTfX6JjXmKMpzqWTYt1Wzf03xRl2eaT43XotVVU3btxYmYdyc4+2\n",
       "4/7+/so8quY20TGuY9PFHdY26MRC1flY6/Hkk08O6evXr8c8zhpzFo827Uc6jlz87rPONZ04tlpu\n",
       "p18tiZudYsu7mMFpTkv7AneOzj2ujfQcXdf17y7Osh6zJE66HpPuv6tLmmsdnQe1Hp0268R0T3uj\n",
       "Tn/Wc3SedP3qrG3i6p5iqXfilev91nVfnyfcMem5pWruN6kfuf2zzkeu/yptt3S/3TzCfhl4/emc\n",
       "4OY8/UznQPd+Q4/R+amzn077jc5zWVp/O89LOge6NtK1xc2lp7n5Ol1vp66dvUKqS1o3quZ21WPS\n",
       "Xsp9pu3s1kE9Z8l6rM+q+j5nyfOg9ivXN7Wuumdz9yrdT+13nXdRqYyqvAfXc1y5jz322JDW63fl\n",
       "pr19571hqrvbB+q90Ovp7IW1rtrPXL9KeXT6s1ryXKZj7fDwMOa55Bkr7R91LXHPpVpXbVf3XJb6\n",
       "Xmf86jNGeifmjtFy9d2bzkVV+VnHtZHWP9Wj88yh7960HlXzuNFzdPy6Nkt9z71r1HPSOHJtpn0g\n",
       "PQ9X+Xlv1TmdcZTW0qp5rUzPzJ3nw867Cp7LAABvVfwiCQAAAAAAAAAAAAAAAKqKL5IAAAAAAAAA\n",
       "AAAAAADgBF8kAQAAAAAAAAAAAAAAQFXxRRIAAAAAAAAAAAAAAACcWFtfX3+gH969e3dIb29vD+nb\n",
       "t2/PGa2tDen79++v/Pv58+enPPb29ob0nTt3hvTBwcF0jtbt8PBwSL/nPe+JeWhdX3vttSF96dKl\n",
       "6Rxto1u3bg3pp59+ekh/5StfmfLQNtE8XRtdvHhxSOv1aps98cQTUx43b94c0hcuXFiZR1XVgwcP\n",
       "Vqb1nM3NzSkPvT5N49GlffXcufk7aDqOtP/q310+2q+U9tWquR+tr68PadefVTrH1V3P6dB23NjY\n",
       "GNLHx8exXM1ja2trSB8dHU3n7O7uDul79+4NaZ2/3P3V+9lpV83HzWnp73q9WlfXRmm+wqND76/u\n",
       "A3SNq5rHfFrDXH/WPqF9z/VFt/c5rTMnaN21Hjqeq/L1pDyr8vXpnODy0XbWc9xYVGlv6MpJ179k\n",
       "fLtyNR8tR6+3sw5qn+i0s/YB7Xedums9Om2kddVy3Pqrdevc3/S8kI6vmtvRHZPo/UvjypXTadc0\n",
       "1vR+u3bWvYHWrTP2AKymz65uLOoee8ncquN3ydzTedbR+mu++mzgnh9U2jt1dPboer06b2rdq+bn\n",
       "A20j/XuH9gl3b/RdlJbTWcPT2tnZX2o/0jzd/iOV485ZUo7SdtX+29nnpL2SWxc7dVP6rN6pq9Kx\n",
       "qOe4PFJ/7rx7S88tbvxqO6e9r/Z/V7eUp6uLHqPX764t9U1H2/7JJ58c0jdu3BjSbr7SumhdXTtr\n",
       "n9D7rdfv1qPUrp13b3qO9nd3r7Sv6drh+oQek+5V5xlL26Qz5tOzjZvj03Nn531deobu7CW0Xd2a\n",
       "ndbOzhqe7kXn3iSd9ahTRmrnzvvK9O9UOiaq8njl3SMA4M2KXyQBAAAAAAAAAAAAAABAVfFFEgAA\n",
       "AAAAAAAAAAAAAJzgiyQAAAAAAAAAAAAAAACoqqq1tbW1KYBbigGuMUndMZrWeIMXL16c8jg8PBzS\n",
       "Go/OxePb398f0hqzUWMJHhwcTHm8/e1vH9IvvfTSkH7mmWemc1599dWVddVrcTSWXifmaoopqzH9\n",
       "Hn/88SkPrbue4+IParxBjQWq99fFBUwxOfHGpv1V77frz524wqvyrJr7oo6RTgxdpX3TzXmp/3Zi\n",
       "cqY2cvGOdQ7TOLyuTVPcztQeVTl+96VLl6Zzrl27NqRdTPPTXJul2NudONrEKX3j0L2B6xOd9eY0\n",
       "F/9X89B+5OLhpljjqhPLt0Prn/q3KzfFeO9IMaJdOys9R+evTt20DV08a823E7tYry/NrRofuVOu\n",
       "a6O0lmie7npVJ068toFeX6fcFNN+ic56lMaR+3taw1JccVc3PcbVPd0L3V+7uef4+HhI6704a2xy\n",
       "ADPd67t5RMdiZ03TOSCtcS4P1XlnoJ/pXKN5LHkW6LwzUDp/uePT+w33XKbvXrQddQ/n5tq0v3B7\n",
       "h7QX0rTbS+r16PW7cvUZMfVNR+vWWff1nmseWnfXn/UzzbOzR03Psu4ZWtdsTbs+oXXRuu7s7Axp\n",
       "d3/1HL3fbhxpPto3td3dnlTp9bm6arul5yV3f3VM67sLtxdO85Ge4+6Ve8+bytXr03fHnWe/NHe6\n",
       "cZTet+v1uT1pmuNcvbQcvVd6jutXady4uUfbQN8bpffi7rPO+55Of11VT2dvb29Iu/f+qW5aLzcH\n",
       "pHlS+2rVPH71XZze38671TQWq3J/1rTrz2ktcfuc9I6kI60lnXcVem949wgAeLPiF0kAAAAAAAAA\n",
       "AAAAAABQVXyRBAAAAAAAAAAAAAAAACf4IgkAAAAAAAAAAAAAAACqqmptc3NzCuCWYkF2YmFqHhoH\n",
       "z+WhMQlTjM6qOYZdijfo4mmmmH0uRqOLzXuaxql1sQQ1vuKNGzeGdCdmsOahcSxdO2ubaBu6+6/1\n",
       "1zz0el252s6dGJR4NOi4cvE0XdzK09wYSLG29RzXZ1LMUcfFFF1VDxfHM8Vc7cQqTjE53fVqOZ2Y\n",
       "5loXbdcl8VKVxoiumuerFOvUzXmpXFdX4pS+ceka3RnzZ/27k2L7OjqONI/OvNGZv84aZ7kzJvQY\n",
       "F5s5zaV6jlv3XRucpYyqfC8eRh7umCV9Qtt1SV908+Bpbk+qHkbdU6zqTh6dmO56jJab+lBVL9Z4\n",
       "apPOmOist99ouW6vpPMgaxzw8HX21zofadqtR2mNSnOCo3OAK0Pfo+h+Ws9x+y09RvN0zzp6TGoz\n",
       "d73p3YR75nBz9qpynbSPc+9/9P6lZx13ven9Tee5TNtE83R9RO+5rj+d9Sitca7Njo6OhvSSsZfa\n",
       "2e1JleahfdfVRc9Z0p81D9fOSveGnfcMqrNX0DZI84Qbd1rXzp4ljU9tQ3ev0vuOzhhI81en7nq9\n",
       "bl+fzknvXquqdnd3h/T+/v6Q7qwl2iadcZTGvHteSM9Y+m5O3y1XLXtPqG2f1iN3r9I+3Y1FfZ+h\n",
       "c17n/p51DXfSM1dn3dc80lrbOceN9/TvSY62o5areXTeNaZ9jzuH5zIAwFsFv0gCAAAAAAAAAAAA\n",
       "AACAquKLJAAAAAAAAAAAAAAAADjBF0kAAAAAAAAAAAAAAABQVXyRBAAAAAAAAAAAAAAAACfW1tbW\n",
       "HqSDzp0bv29y/vz5mPGdO3eG9MbGhhY8naP53r17d0hfuHBhOufo6GjlMZqHXktV1e3bt4f01tZW\n",
       "rOutW7eGdKdNlNZV6+GuV8tVWtft7e3pGG2z+/fvx3K13R48GLuN1mtzc3PK4969e0Na7w3eONw4\n",
       "0j6h6fX19emcNOa1HO2r7jM3XlO5mofW3ZWr16PHuDZK16flOlpuZxzpeNT5Wbl6uHkh/V3nNL03\n",
       "ev1ufkv9aklfxKND+wT3CgAAfKu5Z2jd13aeU3Rfo/seTevzctX8HkXLcc8C+qyT9ldaRtW8L+9c\n",
       "r0r7dvcORZ9TOteiddFztF07zw/KPWOm59DOPjf1EdcXtY20Hqk9HG2j3d3d6ZiDg4MhnZ65XLla\n",
       "Tuc9oY49taSd9fl4yb1Jz9RV8/XpOZ13F+ldhZPeM7g89D2DpvU+dO5vp65nfYfbmWvdu6ckjRt3\n",
       "v1M7d94JaR/Rurt3JDovHB8fr6xHVX4X05nTtU20bp13ftqOnXunbabX4s5J837nnZ+2s75Ld2un\n",
       "lpvWNPfuXMea2xuo1PfS/a/KfaCzdqb52JXR2Qulc9LfO/1K6b8NVc19fsn8DADAGxG/SAIAAAAA\n",
       "AAAAAAAAAICq4oskAAAAAAAAAAAAAAAAOMEXSQAAAAAAAAAAAAAAAFBVVWtra2tTALcUh7YTCzPl\n",
       "6eIAalzHToxGGbZL8QAAIABJREFULTfF/XP11JicS+LxpbiOLp6mtkknlm2KHajpixcvTnnoMRrn\n",
       "0UlxSzuxXZfEPcSjQe+d65spJqeLP+libJ62JE5rilXtPlsSVzrNAa7cNF91xoiOxc5co8ek2MWd\n",
       "OK0aL9TVVWNrX7lyZUh34qSrNOcBAAAA34iNjY3pM90v67ON/r3q7O8ZOs8PqQxXF013npe0DW7d\n",
       "urXy764cbSOtq3vWc8+Mp7nnR62/Pvvoc4yjdXftqtIzZIc+d2ldO+/NljxTpz7irv+s1+vqpfdG\n",
       "uf5+1vvpytC6at3c+E3vvDrP7kveVaT3Cjr23JhJ5XTmq3S/XTun9wxO6ovpPVNVvjeur+q9SXOP\n",
       "u149R+vm6nrWdcDlseT+prmmMwfo3JPKcHXV63892qxqvr/6nqzTN/Wed+6N9gmtu74jc+/jtZyd\n",
       "nZ0hffPmzemcNNcod/3pHa7rE3p9qdwl72c7Yy/NAZ1/x+qck/Z+nX4FAMAbEb9IAgAAAAAAAAAA\n",
       "AAAAgKriiyQAAAAAAAAAAAAAAAA4wRdJAAAAAAAAAAAAAAAAUFV8kQQAAAAAAAAAAAAAAAAn1t2H\n",
       "586N3y+5f//+yr9XVd29e3dIr62tDekLFy4M6Tt37kx56GdazsbGxnTO5ubmynIPDg5W5lk1X9+D\n",
       "Bw9W5unKXV8fm/L27dtDWq+/qurevXtDemdnZ0hr3avmNtC67+7urqxXVdWtW7eGtF7f1tbWdM7x\n",
       "8fGQPn/+/JDutJmek9odjw69N9p3O+e4PqF9QPuISn93eboxoHXReUHP0TzdOZrWOaAqz4NpfFfN\n",
       "c63eCzfHaTnp+g8PD6c8tO11DtQ5oqrq6tWrQ1qvX6/PtZmb91fVy+XL3PLo0r7IvQIAAN9qbj+S\n",
       "9iidPakeo/t4t/fX55LO3knzdc9hib4z0HL0746Wm55j3Dn6jsSVq3VLaUefObTdO31Cn4fSs4/7\n",
       "TJ/Ljo6OYrnpuduVm56r3b3RcrSN9P66ctO9cM+y7rNVtB5V873Q5073zkDrmt6Bdd75pfek7pz0\n",
       "frbTNzvvN7RcfS+of3d98+LFi0Na2+zmzZvTOTr2tBytuys3jVfXzvqZ9hu9fve+I7Wze++t72y1\n",
       "TTRP9z4kvX93c772eS0n9TNXFz1mybqg5bo2S2uYtqnLJ73zc+WmsebGnvarNI+4uUfron2k835S\n",
       "y9X3d+5e6djTa+m8B1ZarmvnND+7f6Nw/15yWpqvq/K4cWsP768AAG9V/CIJAAAAAAAAAAAAAAAA\n",
       "qoovkgAAAAAAAAAAAAAAAOAEXyQBAAAAAAAAAAAAAABAVVWtvfe9750CumkMuxQvtmqOc6fx6DS2\n",
       "nIs1p/H2NO6ji6WnddFyNX7d448/PuXx4osvDuknnnhiSLtYmKkeGrPQxfR77bXXhrS28/b29nSO\n",
       "xgrUNtM2crETNX7k/v5+POfSpUtD+vDwcEineJNVcwzGz372s0N6SbxFvD503Oi40ti3VXOf0H7U\n",
       "iYGd4jm7cdSJw6pSDE7lYkinuLSdui6JEa1t0ilX4winebIT470T013p9Wi5ro+kuaWzHmmaOKaP\n",
       "jhRbHQAA4JtN34dUzc8Lukdd8qyjebg9qu6xdZ/uytVnHd0Lpz25K3dJXbUe+nf3/LCkjfR+6fub\n",
       "znOKltt5Xkz3V+vaecZKz8MuH32PlJ6FXB6d57LUrzRPt69PfcI563sibY+q/Dzonin1GO2Lmqcb\n",
       "R5pH6t9VZx97rg0vX748pPVdTeeZy13Paa7NtA+k/l01v6tI747dHKDvTrXPuHdGWhe9nk6/S2PC\n",
       "5aH117prXV0fSXONayO9N1p37SOd+aozjrQcnZ87c56OaT3HvbNP91Pr5aTrde/sDw4OhrTWfWdn\n",
       "Z+XxVfP16frTmeMS10fS/ezMV9rO6d+GqvL1OpqP1kPvzZI+4tpZ65b6CAAAbxb8IgkAAAAAAAAA\n",
       "AAAAAACqqmrt2Wefnb4uqd+61G9U6i9aVOVvFadvizr6TU/95m5V/l/x7n8TKf3Gt35ztfPN3vQt\n",
       "avet2/S/ItwvC6RfIFHuG+Gah6bd/xJI37TXurtv7uo3rf/v//5vSHf6BL450i9UuLGo/4NBLbm/\n",
       "nf/Bkv6nV+d/U6X/wdGpe/rfRu6z9G31zv8k6fhmjK3O/2RM/6vJXW/6H0id9tA+wP8SeHTwiyQA\n",
       "AOBR494hpF/+dM/7Z/01PrevTc8pnWeO9Esgnf95nur19eqyKs/Os1365deq+d1D55cx1VnrXjXf\n",
       "31SPzi/dat9z5aZnG9cXlda187yUfpEzteHXy/c01xfT9aRfRnE616vv49L1u36W5gnXZpqP1qPz\n",
       "K6c6bvQYV1ftE3q9nf95r9en745v3rw5nZN+KaPzqxdat84vNad3x9rOnV+p1TZ05+g8oMd0fl0k\n",
       "tYk7R+9551e1VBpbnbqmX6jovA/Qe+Xqnq6n8wslaa107ZF+Mbnzy03aJkvOSXNc51dNOu8v9V6k\n",
       "X0Bb8m61M/b0/nX6kdZlya8f84skAIC3Cn6RBAAAAAAAAAAAAAAAAFXFF0kAAAAAAAAAAAAAAABw\n",
       "gi+SAAAAAAAAAAAAAAAAoKr4IgkAAAAAAAAAAAAAAABOrF2+fPmBfnj+/Pkh/eDBeMiFCxemjO7e\n",
       "vbu6oLW1lXk6eozWyx2j5Zw7l78rc//+/ZXndOqark//7srVc1zd9ZhUN1fuWfNw+aRzXN1v3749\n",
       "pPf3989cD3xr6P10c8CdO3eGdKefuf6Zzkk6fTWV+zDq4SyZB1MeHW/ksZXabMkcj0eH3j/uFb5V\n",
       "Hsb8jIevs4/9Znk99iwAHk27u7vTZ4eHhyvP6ezRdZ+j56yvr0/n6DOWvhNxe6fNzc0hrc/hGxsb\n",
       "K+vh8r137950jNJ8NA/3Pkfp9aYyOuVubW0N6ePj4ykPrZvei1u3bsVyUz0673dSGZ1yO2WkZ/VO\n",
       "udonNA/Xn/UzbSPtm1Vz/0316twr9z5D6TvO1M5LntNdn0hjfknfXPLOL/3d3d/UJ9z16jlajl6/\n",
       "m0f0Xun9dW2kddG+p+d0xlEqoyo/73bGkV5v5x32WeeNJWuau7a9vb0hfXBwEPNN5XTWQZX6lctD\n",
       "P+v0q+3t7ZV5pHm0Ks/Prq5at1Su65varzpruNZf66F1d9erddOx6PYFac3StMsjvYty65HWP/27\n",
       "DgAAbxb8IgkAAAAAAAAAAAAAAACqii+SAAAAAAAAAAAAAAAA4ARfJAEAAAAAAAAAAAAAAEBVVa1t\n",
       "bm5OAdxSLMQlcR4fhiUxRzvndOLBvh4eldh5S+KlLonlq7EEU6xbPDo68TTPGuu1U86jMkbw6Foy\n",
       "x+PRkWLZdmJRL5k3OnGkU7lLpLo+jP7s8ng96t75e4rNvOR6X482q8p9Ykm5eoxbJx9Gn1BL1tsl\n",
       "eaY8Hsa639lvvB5ttOT+LpmvOuWmvgjgG6djb3Nzczrm1q1bK89ZMjaXnHPhwoUh7daWNG+cP38+\n",
       "5qH0evXZ3tG63rlzZ+XfXd30nUFnPdI8dC1xc+3du3fPVA93jLbj67Wm6Tlaj/X19SGt1+bq1nne\n",
       "18+0Hpp2eWgf0Lq6fpX2aFtbWyvr4crVvufqenx8vPIYTWsZVXme0Ot3NjY2VtbL6dxPpe2mddM5\n",
       "UPudO0fL1Tyqzr7ndvOG5tsZA2ncaF/c29ub8rh27drKurn7e3h4uPKYNF87S/aKen2dvpjy6PQz\n",
       "rVtn3kh5dJ5DdRwpN/ekdc/1RZWu19Vd26DTzm7+OSvta0v6Vbp/Lo+0trhzztpvOs9Ymuf29vZ0\n",
       "ju4FOnUFAODNgF8kAQAAAAAAAAAAAAAAQFXxRRIAAAAAAAAAAAAAAACc4IskAAAAAAAAAAAAAAAA\n",
       "qKqq9WeffXb6UOPAdeLEHR0dDekUW68Th1e52JAaB29JTL8UG9PVNdVf4+918ujEw+3Ei0zlanzF\n",
       "zr1IMRo7MUg1FugXv/jFlXniW0f7ot5fFx/2xo0bQ1rHWuf+ajxy7UedmMl6TGdcpXi4nTiXnXJS\n",
       "jNUUG/RhlauWXF9njkuxa3Xu7cSl1TxdXFo9RvsRcUsfHSmusOsTD2PcLNmjpH6zZK7RWMZun3PW\n",
       "/ZPbJ6TYvZ26a91SHPWqOYZw2m9V5bVC22xJzHcn9QmdR1ybpTnO7Y20/npM5/o683E656z1WpJn\n",
       "pxzlxkRqoyXPGJ0xof1Vy9X+7vLV60lra1Xet7OmAd84N9eoNNe6PHT8dtZBpXOLluvm0bRWdvJQ\n",
       "nXVfj0nvOzrPh1qOmye1HF0nNjY2hvStW7diOZ39Riqns7akdcCtv/rMrPvp4+PjId1p5856pG2g\n",
       "16fXr+8Iq/JY29nZmT7T90ipjVzfTO8mluxhtI842iZ6jrs3Wtcl4/es+1pXVx0n2q5u/5H2Ru7e\n",
       "aJto/9b+7PZb6X2OXpuzu7s7pLXfadqVq23i+sjW1taQ1uvTv7t2Tu9j3V5Y65LWH9dHUjlufOvY\n",
       "0vlK+1nnmSPNRVXzPddztN1d3bXNOvNzen+V6unqpnXvzD1prnVzz5J3Buldhd5v1x5pve2sR2m/\n",
       "4cpN8/6SZ0oAAN6s+EUSAAAAAAAAAAAAAAAAVBVfJAEAAAAAAAAAAAAAAMAJvkgCAAAAAAAAAAAA\n",
       "AACAquKLJAAAAAAAAAAAAAAAADixdvHixQf64fr6+sr0/fv354zW1ob0xsbGkL5z586Q3tramvI4\n",
       "ODgI1Z1tb2+vLOfu3btD+vz58zHP4+PjIe3q+uDB2Gznzo3fydH20HpVVV24cCHWRd27d29Iazvf\n",
       "vn175d+r5rrrOa6N9BhtE62Xy0P7jbaZ61fa97QcbWdH+4C2u7ZHVdWtW7eG9O7u7sq6ar2q5jbS\n",
       "erg+keqqXN01D22jTpspd31K76feO21TR/urtrPm6Y7Rctw5Otd06gbgbDpzz+bm5pDWsejO0fko\n",
       "rb+dOU/nEXeOW6NW1cPNm3qMpt2cruXqMVpXl4ce01l/df1J+wCXh7aBq5tyc/Zpbu1MeXTWMKXX\n",
       "k/a1VXO76l5I12d3Turfrp1Tu7r+nMZFZ0ykenTO0TlAr9/dOy0n7cmdlEfqh1+vbiq1QafNUl0B\n",
       "fON03nDP0DrmdU53Y1PXgTRvdN5VdNY4rVvaf7g80v7CzVda/7SHcW2W5nDXRmddO90ztu5BO/dO\n",
       "80l9wq0taa/Uea+ix2gebv+R+pG7D2n96bxn0f1Tp8+ftR6dPpL6qisnPQt01nDl+oTm4+5fovdC\n",
       "273TF9NeeMne3/UrrWvaC+o74Kr5+jr9TMtN75U6eei75M4ePO25O/dqyZyuz3L6rLckD9ffj46O\n",
       "hnT69wXXR9K7xc7eOPUzV24a806anzvvOLX/art31oU09ty17ezsDGntz65PpDm80876WXqn7aQ9\n",
       "S2ccpX/XqprHSWp3AADeLPhFEgAAAAAAAAAAAAAAAFQVXyQBAAAAAAAAAAAAAADACb5IAgAAAAAA\n",
       "AAAAAAAAgKqqWrtw4cIUwE1j3GksOY0J545RnRiVGhevE4f3rLEhO3FLUz2cFFdZYzh2ynVSm6R4\n",
       "k1VzvEGNT6/3ytH7l+J8OnpvtB7uGC3H9UWl+XZiNKb+enh4OKQ1NqgrpxPXUeuSYtt27pVyMaG1\n",
       "X2m7aht24ixrni6WrbZj6hNuLKZ4xy6Op/bPJe0I4GzcHNiJT650HkhrdCc2dSqjc4zm2ZnzO9eS\n",
       "9gYpDnO3nETz1XVgSTx6F3dYYzGrTrzj1I9cm2q+aR/Xub8dnTXrNHdtad/q2kjvX+rPrlxdo3Xv\n",
       "4PYbab1Ne4mqZeu+Stfr+siSvW66F52xSext4PWn49s92+k6sGRt1XJ0nnTPtkvWm7PuSZbUvfPu\n",
       "wj0znubWp/Ss7ubeVP8le4fOu6iLFy8O6Zs3bw5p3Uu4PY6uYXq9nXdgaY/WyaPTZ866/rg+ktZO\n",
       "d2+03CXvWdJ7MpeHHqPl7uzsDOnO+NU8O22UxoC7L6lNOnuY1Cc67d65Xm3X9J50yXs1t/9Mc5rO\n",
       "z25/md6lur2w9hM9R/tqZ1/bcdZn5k6/6vQJnZ+WvHvTe5PWFneOtqvW1dUr9UU3jtKcruvCwcFB\n",
       "zONhrGGdeTOt667dta7pHXan7lpX984g/dtAZw1P86DbC2o5PKcBAN4q+EUSAAAAAAAAAAAAAAAA\n",
       "VBVfJAEAAAAAAAAAAAAAAMAJvkgCAAAAAAAAAAAAAACAquKLJAAAAAAAAAAAAAAAADixtra29sB8\n",
       "OKTPncvfN7l3797Kc86fPz+k79y5E/N88GCs2ubm5nSM5qPlaL302lw5KQ93zsbGxpC+f//+kL57\n",
       "9+6Uh9ZFy9V01Xy96+vrK+t64cKFKQ/N99atW7FczTfdb9fO2iZKr8Xlq+2odXV99ejo6Mzlajnp\n",
       "+tz16r3Se+H6lZajddM27JSrfbUzntPYOz4+ns5JbbSkX2k9ltwrzcPpHAPg4UtzaWct0WPSml7l\n",
       "59/Ttra2ps90rdRyXF2TVPeqed7TOa9zvSpdv5PWElf3tJ9y65He33T9TmdPovQYLUfX8E49OvvJ\n",
       "VA9tD9dm2vadvYLWLe3RHC1X28jt9Zfs01O5qYyq+fqW9Gel57j7q/1X20TzWHIfADx829vb02f6\n",
       "/JPm66p5P6FzQCcP/azzTKnSnO/KTc/Z7hyty8PIQ7l1Ij0zp3cIVfO8n+6dyzfdT1eu1r2zHqW9\n",
       "YGe/ldZwJ71702vRvbOT7p2zZN+jbdBp57O+v1qyR3XvN7Sd9X7quxnXN9P+sdPOeo72EdevtA3S\n",
       "nOfoMfqu1b2L0rp13iO5fE7TOcDd3yXvRXXc3L59e2U9OjRPN551PKZ9e+cZuvMsm56hHsa7ONef\n",
       "3b8fnJba4+vle5rbK2hf0/fRer+XvJ/t/FuBjpvOWEzvcF1dtR3Tvye5cZT6ors3Z32m6sw9ac5z\n",
       "5aZnTAAA3iz4RRIAAAAAAAAAAAAAAABUFV8kAQAAAAAAAAAAAAAAwAm+SAIAAAAAAAAAAAAAAICq\n",
       "qlrb2dmZArhpzLpOrM8Us68T00/L0Zh+LnZkJyZj+nuKy9qJl5piCbo2THFaO3FLU4xkl0eKDdiJ\n",
       "L6lt4uKynpVr5xR/PvUzd4xy8VI1jmUnbqVKMSk7MWVVJ9Zr6jepPapybOpOO+sx7pzUF/Xvrl5n\n",
       "7SOuLp2xBuBsUnzcqjn2tJ7jYqvrmE7zVWcPozrz1Vn3H04nPnuS6lWV57gla2dnPTrrmlaVY7p3\n",
       "2kjr3tnXpb1gOr4qxzh3bZrqpuW4/VYaa539lR6TxpXLoxMXXo/R63kYewcXE/34+HhlPTp7I+3P\n",
       "Wg/XZ1I7d+YRYm0D33w7OzvTZ4eHh0M6PetV5WfI9BzjdN6rpGO0HDev6lx6cHAwpPX6q+Z5UufF\n",
       "tD4/LGlNd+WmNnL3UttZ383ovsDloXXZ3t6ejknlajnpXZXLQ++324Nr/bWdO9ebdOqqaS1H70PV\n",
       "fD2d/YZeX3o30dmzaD9z19uZB05z/VnrrvdX33dV5fko7dGr8juhJXPNkjlPnzF1H+jO0X6j1+fy\n",
       "SOOmsxdObeaepzrjNUl73858pdz1av3T9bt6pXZ1ddU1eW9vb0hrP+vorFlnHQMuz9SfXZ9I85WO\n",
       "eXev0nOna2c9Jz0vufmt814/WbKfStfr1uO03vLcBgB4s+IXSQAAAAAAAAAAAAAAAFBVfJEEAAAA\n",
       "AAAAAAAAAAAAJ/giCQAAAAAAAAAAAAAAAKqqau2JJ56YArjt7+8P6U7sT41Hp3HiNN5kJ7ZgJ3Zv\n",
       "ij2u6U78ctWJcadxlFMM1q9Xl9NcbMjUJilerDunEzNYYwdqPTqx5dM57v6meIOde7MkRnKKl9rJ\n",
       "Q+n1ab2q5piMqe6u3TUm5ZI2cjE3T+vELta+14mxmmJRd/JIMVer5us7axxiAFmKCV5VdfHixSHd\n",
       "iaN9eHg4pJfE4dU5L61xrhw9R6/P5fEw1jTXJmfViVnfWdfS8WkO78SF13bVdXLJ3tCtv+neaL10\n",
       "X1A19xGteyeeddpzu3G0JLa62tjYOPM5aY/t2lmvL8WmXnJ/XV/U69P41kvGhNbN9Ykl9yLlAeD1\n",
       "t7W1NX2m80ZnbKbnks6cl9YwzcOVk94ZuHLT/qrz/N95N6HO+nzo6rLkfUfaoyx53tc83d4w7QU3\n",
       "Nzenc/Rdk/ZX1ydSXfV+u3J1DKQ2cf0qtWunj6R2dX3zYYwjTae+6uqa9hLuGN3D6N/d3iLVXe9l\n",
       "1fxOU6/HnaPS/ey0Ubo3S+aezr497fU7z3aq88yR+nxnXdA2cuM37Zc787W2vc5Frq7pXWPn2TbN\n",
       "k65PpHcCWq9O/1Y6Nqvy/Kv9ytU9Pad03l8u+beC1Dc7/66h19d5P536iBtH+pn2xc5zeNoLdfaC\n",
       "aRwBAPBmwS+SAAAAAAAAAAAAAAAAoKr4IgkAAAAAAAAAAAAAAABO8EUSAAAAAAAAAP+PvXv3tSw5\n",
       "yz/+7nO/9sUz4/GML8ggAktIGAmZBJkQCUEGJiEgJOKPIOFfQSIiQUIQECACAmQugRHGWGN77LFn\n",
       "uqf73G99fsmRfqee9Xg/714+7cvw/WS1z1pVtapqVdVavXu/AAAAAABUFV8kAQAAAAAAAAAAAAAA\n",
       "wJ3F7u7urX54eXk5pG9ublbOeG1t/I7K7e3t0r9XVb169WpIr6+vL/175xgtV4+vqrq6ulpatzl1\n",
       "vb6+XlqPqqqNjY2l5Wi93Dmar9ZrsVhM8tBzXN2Sra2tIa1jxOWpx7i6qe3t7SGtY3OO1HdVuY30\n",
       "HDdGtP9cOUrHjearbebaOfWn+/vm5ubSemi57nrTPDFnnCnXhqnczjh7iLoBWM7di3pPd+5FXQd1\n",
       "XdC/6/xWVXV+fj6k01zrPkvzpNuz6DFzzlGdNkvlunlUj9F2THsnl4f2t1vT9Xo0D+3fzh417Und\n",
       "Z6ld3XqkYyLtlZxUV5eH9o22q+sblfaxnf2k7tk0D/eZltsZmzoGdCy6uqZ9Tuc5Je25O9J+yuXJ\n",
       "HgX46dvd3Z18pnNr57lbzXkOT2u4zolV07lT66pzj5trtQ3Ozs6GtNtfaT5pf+XWibQOdp4HU7nu\n",
       "PUvas3Te56Q1zvWVtquupa5v0hrd2V8qV7dU7uHh4ZA+Pj5eWo+qvM/r3EerXr/Teb+h4yTthTvv\n",
       "ezrvOLWNtFyt6+np6SSP1Aadd2B6TLrPXLmd+/fi4mJIz3nmSHs0d46Wo+do2s15WjdtI3dfdfb2\n",
       "97k2S8/DnflKr0fPcc9p6ZnCXa+bb+/rtFlaF9x9lPpP55HOc7jWzZ2T3vNr3d06mOqe2rQqzwGd\n",
       "dzOdd+fpXUy6rxxtM9dGac3qzAFp7HX+/Sj9GxQAAJ8U/CIJAAAAAAAAAAAAAAAAqoovkgAAAAAA\n",
       "AAAAAAAAAOAOXyQBAAAAAAAAAAAAAABAVVUtFovFJIBbitc9J+ZoJx5uJ06pSjH7OjH99JhO7M8U\n",
       "t9TFk1QPEbc0xf2bE2u9EytRzYkT3xlXKWZ9ig1aNa37nPjVak5cx8716mc6Fjtxd9Wc+3dO7NMU\n",
       "Y3RObOZOXMsUk7ITR5s4lsDr11lb9N5056R1Xe9nd3+ncre2tibnpLqlvURVnlvdPLnq9bm6ayzf\n",
       "VHcnxTx360LaT3Xi0ady56ylTopn3YnPntqxM56Tzp60Q69Xr0//7vbtKV53Z8+dxuKcfY9rZ61/\n",
       "2gu5Nk33r/t75/knlQvg9dP7d3d3d3LM2dnZ0jw692/af7i1VOfW7e3tWO6qa2mHnqP1qMpzXGfN\n",
       "S+9VOnNt2qOkerpz3F4irVmddxVz+kKvd2dnZ0inserqlvYBVdPr0+vRc9y1pfdZnWd3HSPan65c\n",
       "tz++T6/fmTM20z3u7gktR4/p7GlWfV5y5WrdO+9m0r6nc07aG3aut/M8mMZr53kivfNz17tqO7sx\n",
       "kureeS7rPNuozjEqtaO2x8XFRcxDaR5V03v+5ORkSO/v7w/p8/PzWK6O5729vck5en16PWkf4I7p\n",
       "3APpHu/Mk7quv45/1+jMtXP+zUmvR9dFN67S/dt5r5LmHgAAPin4RRIAAAAAAAAAAAAAAABUFV8k\n",
       "AQAAAAAAAAAAAAAAwB2+SAIAAAAAAAAAAAAAAICqqlosFotJALcU89zFfNO4dxprTtMu1l6Kheni\n",
       "PKY4uxrjrxNvUa/FxdBNMTc1rnInHp/GRpwTt7QT/zjFIO1I5XTK1bq7eJspvqD+/SHi0zurtntV\n",
       "jo/qxm7nelIeOn7TfeXK1Xutk0eK1dsZZyl+dSeutnJxlh9iTAB4eDrnddbBFJ/dxR3WOUDLdXNC\n",
       "OqcTH1fzcPsapfmktbOzlnbmwLQXSnunqnkxg9Na0clD4xnrPtbF0e7EgL5vzvV21iOta1rTXTmp\n",
       "Xh2d/aS2sx7TiYGtOvdvZ2+v0v2r5bi+Up29g7aR9oW7PtXZYwP4yegcofNMVdX5+fnSc9y9qXOa\n",
       "zi2deVLnEZ17OvucxB2fnsu6+dzXmfO0jbRdO2ta2qN12qcz16ZydBx19pc6JtL7gKq83+i0WXqf\n",
       "VzXdK6V7wK2l+pnuyTptlN4R6Lu4qqqzs7Ol5Xb2gek5pfNOSLlxtuozhs4Rjo6rOe+vNO3K1Xbs\n",
       "7GFWfW/mxlW6X905Oo50ztO0m691Tkv7vh/32X3pfXzVtI06++c0D855RzZnnUh95eae9Pzbma/3\n",
       "9vaGtD4/dMZIen5wdUlrmrsX57zn175Y9d2y03kfu+qzjnsOT/NE59+g5jwvpbl1Z2dnco7OcXPe\n",
       "dwAA8IuIXyQBAAAAAAAAAAAAAABAVfFFEgAAAAAAAAAAAAAAANzhiyQAAAAAAAAAAAAAAACoKr5I\n",
       "AgAAAAAAAAAAAAAAgDuLtbW128mHi8WQfvXq1ZBeW5t+/+Tm5mbpMevr60uPd+WmPN05t7fj5Wxs\n",
       "bAxpvZZOOZubm/Gc6+vrpXl02kyvpXO9Wq5y17u9vT2kLy8vh7T2lcsnXZ+r1+7u7pA+Ozsb0tp3\n",
       "DyWNCVfRrzgRAAAgAElEQVSuXq+2ServTrmujfQc1xeJ5qHpra2tyTk6BnSc6Zi5uLiI5SrXRiq1\n",
       "uytDP0tzgisHwM+Hzjq46j3fWQevrq6GtM7XLp8053XWNK27o22g9Zgz56U8Xb5pDndrWtoLdvLR\n",
       "69E8XRu6/rvP7UH1M92znJ+fL83T0et17ZyOSf3tjtF9q7vezn2yLE9XF72P3H5Dj0njzI1nHSOa\n",
       "h2ujNG+kZ58fl286R9sttTv7E+Dnw/7+/uQzfXbtPP923kXc5+Y8N//ep89xVb39xX1p3azK7x2q\n",
       "8hyuf3fr05y9w6rvSDrvZpRrI217Xfc0z857llSPqun1ar5aD7eHSe/n3FhN40TXeCe10RydNVzp\n",
       "MXt7e5Nj9J6fU+7Ozs6Q1r5w92rap3f2wmnf46Rx03l+mPMOrLP3S9L1unt+1b2vq5eO3849n+b0\n",
       "tL+uml6PHjPn3bnWq/POT/vXjTOtm5bTebea6tGR5k23lmpdVl3Tq6Z11THi5tU0jly5ev+6/rvP\n",
       "jcPUF537d9V/O+ic01l/tY0690Qaa65czXfVd0QAAPyi4hdJAAAAAAAAAAAAAAAAUFV8kQQAAAAA\n",
       "AAAAAAAAAAB3+CIJAAAAAAAAAAAAAAAAqqpqsbm5OQngluL8dWJ/auy8TkxdpfHoXKy5FI+uE8dz\n",
       "TszzFNu1E9Neda43xZ9PsQVdXbVcFyvx9PR0SL/99ttLy9Xjq6Zj4HOf+9yQ3t7enpyjcQ+fP38+\n",
       "pE9OTmK52kbaJu56tZ217tqfLravtoneIy4GZ4qn2IkrrbEhO7F7U0zZFEO5ajqO5sQ71nNWje9d\n",
       "1YsfqtdLHEvgZyPFanZSzFydr90cMCcWd5pbOnPtnP2GStfv1hYXn/s+d/2pTTrrgtY1xS6umraR\n",
       "pjuxuLUN0ppWNV2jdX9xcHAwpF++fDnJQ/PVurrrXTWGveuXtH/s7MFTPVy9dP+UYlVXrR7zuxPj\n",
       "vXN9aW+Uyqia1l3TnZju6b6Zcy8CeHjuuVS59TZJ+w8396TnP10DqqbrjZbTeW7T+Urr0Zl759Q9\n",
       "PQ+6NtK6pr5x83XaT7py076tM3/r/uPi4iKWseo+1o1nLafzDN3Z696n72Gqeutesuo7k845rq56\n",
       "H83Zf2jbd/ZKqV3nvBPSurpy07tUPef8/HySh7aR7hU7zwtaj847Ij1H6+r6X/PRvjo7O1v6d0fv\n",
       "q86+Lr2vdFJ/umeOpHMvpmf3Th56vXqOG//p+jrPC/v7+0Nan+V2d3cneej9qnVLz9hVec5z76NT\n",
       "m7h23tvbG9Jady3H3b9pbLq1Nc1HWi+9r6ryfOWut3OPL6unk+aRqvxvPzy3AQA+qfhFEgAAAAAA\n",
       "AAAAAAAAAFQVXyQBAAAAAAAAAAAAAADAHb5IAgAAAAAAAAAAAAAAgKriiyQAAAAAAAAAAAAAAAC4\n",
       "s1hbW7vVD9fWxu+X3NzcDOnb28kptVgslqZfvXq19O/OxsZGLFfrqsdo3bUeVVXr6+vxmHTO9fX1\n",
       "ynnu7OwMab2Ws7OzyTlPnjxZmn78+PGQ3t/fn+TxrW99a0j/2q/92pD+4z/+48k52hd6vf/wD/8w\n",
       "pP/mb/5mksfv/d7vDemvfe1rQ/pXfuVXJud84QtfGNL/9m//NqT/9V//dUhru1dV/e3f/u2Q/ud/\n",
       "/uch/Vu/9VuTcw4PD4f0j370oyH97W9/e0gfHx9P8jg4OBjSz549G9JuTGxtbQ3p8/PzIb25uTmk\n",
       "Ly8vJ3noOEr3c9X0vtF21HN0PFRNx0RHun91nnB1T2NTy+jmC+BhuXU/7QXcPKnnuL1BKiPNNZ19\n",
       "zqrzV1XeC7lzOnP4fW5+vrq6GtK6/3DtrOdovvp3R9csrfucMaF5aBlVuS/c2un2S/d19mif+tSn\n",
       "hrSu4RcXF5NztC57e3tLy3FjU+uufdPpK6X7Eddm2he6d3B1Tfdruq/cZ517JOXr9gqrltuZa/Re\n",
       "07Srh+aR2hDAT07nwKp8/3bW/TTXuGfZzruYRMvVNd2tT7q+ah7unHR9nWdZlZ5Tq/KzXWed0Lp1\n",
       "3glpO6ZnaJen1k2PcWv49vb2kNZ27Kylu7u7Q1rfZ3TWI91PKt0HOdqGc96RdNbjdC8+xDtAx+3L\n",
       "73P9m8aV9rcrQ9tMx6K797ScNI7cuNJydIy46017ez3HzQHaf51xpTRfneNcuVqOjk23luj1pGcf\n",
       "96yTxp67f/UzzaPzzk91nsu0HD0m1aNqOufp2HPtkfbtnb2/5qtt0nl21/7urINa98541s/Ss5zr\n",
       "37RmuTabMy8qrcucf4Na9RnTnaN5uvtX21HbiOc0AMAnFb9IAgAAAAAAAAAAAAAAgKriiyQAAAAA\n",
       "AAAAAAAAAAC4wxdJAAAAAAAAAAAAAAAAUFVVi7W1tUkAtxQnrkPjxGkcwE7cuE5svRQXrxOvPeXh\n",
       "YgfqOV/4wheGtMbf++CDDyZ5fOUrXxnSX/ziF4f08+fPJ+do3f77v/97SH/7298e0k+fPp3k8Rd/\n",
       "8RdD+u233x7Sf/7nfz4557333ov53qcxd6uqvvvd7w5pjXv4pS99aXLOn/3Znw3pv/qrvxrSv/3b\n",
       "vz2kv/zlL0/yePTo0dK6/u7v/u7Svzt///d/P6T/8i//cnKMtsHnP//5If31r399cs6LFy+GtLbR\n",
       "N7/5zVi3FAvTxS3txLxetVytu4t1muLw6hzQuX9VZ64hjiXw+rl7Na2/7px0v3bi5eq6rrGLOzF0\n",
       "U3x6t3fQPDoxv1NMZM3TzbW6Hp2dncW6unzuczGDE21XjZteNV0HtT9TnG1H89C+q6o6PT1dmu/e\n",
       "3t6QPjo6muShddPrdW2WxsTjx4+HtLsnPv744yGt+57j4+PJOSkWtV6/tk/VtE30HnB1TXsSrYe7\n",
       "J1QnNveq63xn7tF70dU13Ued+Yo9CvD66b3o5mudn9N7h6rpHKDnaDlaRpXfkywr48fV5T6dezvP\n",
       "flp3Vy9dXzvPciq9R3J11TVNy9V21jKqpu2Ynqld3XQcpTWgKq9hLo+0B9W+cX2V9qBub6htr8d0\n",
       "rt+1fZLuAdXZO2iec+qlOter46qzZ9HrSfNKVb4+10bpnPSupirPaW5/le4BrYcbm3pOZwxoXc/P\n",
       "z5f+3c3P6ZlS98quHO1PbefOc9qcuVXL0fnMzXnp+c/Nz9rnWm76uztG20TbtGr6nKl1S/v6qmmb\n",
       "6DHunte66jk6f7s2S+W6urrn22XluHsk3UfuuVvznfN+J637rp1X/XerOe+iOvu69G4GAIBPCn6R\n",
       "BAAAAAAAAAAAAAAAAFXFF0kAAAAAAAAAAAAAAABwhy+SAAAAAAAAAAAAAAAAoKqqFovFYhLATePA\n",
       "dWK8aRzDdI6Lp5liJXbiAKa4f65eKaadi4un8ed/8zd/c0j/y7/8y5D+wz/8w0keb7755pD+zne+\n",
       "M6Tfe++9yTlHR0dD+ktf+tKQ/qd/+qch7eJpat2/8Y1vDOl33nlncs677747pF+8eDGkNX6mi52p\n",
       "cQ7Pzs6GtF6b++xP/uRPhvRf//VfD2mNg1lVdXx8PKRPTk6G9Oc///nJOV/96leH9B/90R8N6V//\n",
       "9V8f0l/72tcmeZyeng7pP/iDPxjSz549m5zzX//1X0P661//+pDe3d2dnKP0vnn58uWQ1uuvmo75\n",
       "FKfV3YvpmDkxKTtzgI5xrYeL7ZrKBfCz0YmRnOanDr3ndR7pxOFNewU3X+k5ui52Yn5rOsUDdnXR\n",
       "vZOL+Z3aSM9x636aazuxqLUvtO66xldN9wLaZu56036xEyddaZu5va+u6ykuvKPr3JMnT4a07tlc\n",
       "uRpb/I033hjSbmx+9NFHS+vl1ta03ur97Nos5eFihOvzQdqzuHkl7WvcvZj2NZ17AsBPn3um1Hk/\n",
       "7QucNPe4PHT90XPcnqWzN0jl6nqs5c6ZrzrPlGk+dnVN19t59lv1fZajdde9RaevtB5uPXLPt8u4\n",
       "PLRc7W+3z9H6p71vZ13stLuu62mv4N7f6buZvb29Id3Z16W+0b2Uk/aX3bosq0dV3oO6fZ2Wm/q3\n",
       "cx8pNya03Dl7tLTfcuWmcaR94+679Cyn+093jOabrqUqt7PWqyo/Y6R7053TmdNTX+j97e4jHYs6\n",
       "ZlwbpWes9A60Ks9PnTlO2yQ9U1dNx16qu6PtquOs854lvQ9wdXPH3OfGiF6v3jedd8mu/+5z60Kq\n",
       "m3v/rnXrzIsAAHwS8IskAAAAAAAAAAAAAAAAqCq+SAIAAAAAAAAAAAAAAIA7fJEEAAAAAAAAAAAA\n",
       "AAAAVcUXSQAAAAAAAAAAAAAAAHBnsbm5easf7u3tDemXL18O6adPn04y+tSnPjWkX7x4MaQvLi6W\n",
       "llFVdXp6ujS9tbU1OWd7e3tIr6+vD+nLy8ul9ayq+sEPfjCkr66uYl2fPHkypL/yla8M6b/7u78b\n",
       "0l/96lcnefznf/7nkNY22tzcnJzz/vvvD+lf/dVfHdLf/OY3h/SrV68mebz55ptD+qOPPhrS77zz\n",
       "zuSc6+vryWf33dzcDOmdnZ3JMdo3H3zwwZB+4403Judof33nO98Z0np9jx49muRxezsO8cViMaSf\n",
       "P38+Oefg4GBIf/GLXxzSn/70p4f0t7/97UkeH3/88ZA+Pz8f0n/6p386Oef73//+kP7GN74xpL/+\n",
       "9a8P6d/5nd+Z5KHj93vf+97Sv1dN7yNtk+Pj4yF9dnY2yUPvT733NjY2Judo/2nfpL9XTft3bW38\n",
       "fpy7B1IeAH469H7VtFt7dH3RtVPnIpeHrq96jJs3dP7ROU3nVpeHXp/moXNx1XT+1Tz0WnSNr5rO\n",
       "6dpmro329/eHtM77Om8eHh5O8tB1T9tQ14mq3K56/W5d0DGgfaHXXzUdV5qvnuPWDd3naF3d3kjb\n",
       "SPdTu7u7Q1rHg5Puq6pp/bVcHVdubOoxWje37utnJycnQ1rb0JXr9jH3uXGl/ena5D5tj6q833Bj\n",
       "Qq837acd9ijA66dzhM69VdO5RdeWzrqv5ej93bnf9Rg316Z8da7t7Ht0zndrqVuTl/3dleuu5760\n",
       "Brg8tNzO3lCvr7MeaR76d9e/qc20r1xdtK5p7+Tqose4crXd0nsWd23a52k9dudo/7o1W6W6undv\n",
       "nf67z7WZfqZt6K5fryfNGy6PVK5rs7R/7txHrg2W5eHqkuruykht1Jlr0tzi6p6eKTvXq7QfOnvS\n",
       "dI+4fDSPdC2OnuOuV9dOfb+u5bi1RaX+rpqOk9RmnXeNnXJTO2rfuPvXPcvc5/5tRJ8p0/6js2fR\n",
       "Y9z1pudOzcPdv3qOXn+nnVXnXkzvnubsBXluAwB8UvGLJAAAAAAAAAAAAAAAAKgqvkgCAAAAAAAA\n",
       "AAAAAACAO3yRBAAAAAAAAAAAAAAAAFVVtXj8+PEkgJvG1ksxdaumceE+97nPDWmNNfeDH/xgkofG\n",
       "+Ts9PV1aRtU0vqLGydPY6y6WoNZNj+nEdv3sZz87pF++fDmknz17Nsnj3XffHdJ6va6dNa7lzs7O\n",
       "kNZ2dfH5UkzdTgxObWftB233qml8QW13F+NQyz06OhrSnfiS2leHh4dD+uDgYHLOe++9N6R1POu1\n",
       "fOc735nkka737bffnpzz5MmTIf348eMh/Y//+I9D+vd///cnefzv//7vkP7GN74xpN98883JOT/8\n",
       "4Q+HtF6v9qdrZx17On478WFTnEs3B6RYpw8R7xjA65Hiwru5Rud9XdM6e4dUTif+b4o/765NP9Nr\n",
       "cfOVXk+KJe9iYus6r+W49eiDDz4Y0mkf4OJZpzjwnTU7ldMZI7rWdMpNe18XM1n7ao4Uq9n1b9rH\n",
       "ujjber2pbzp7YbdvVbpvPTs7W5qnu3/1+nSMuOtNcd47zzo6jjpx0lNs9Q72KMDrp/eme2eg85Hu\n",
       "A9z9rfevzuE6N+mexpWj9XDl6hym56R10tF1wa1H+h4pvXforGl6TGc9Su3u9izKjQGVnmV1PXL9\n",
       "q3noOZ19jraZtpHrX72+9Ezt6qLlaN0795GOVbeGK823M65Sm7m66r2nOu8d9J7o3Edp/5z+7uqm\n",
       "feXOSfuazn5kzrOdSvezy0M/03G0v78/OUffcWn/pfvK1U3zcGNI66rPFGlv7Oh95Pax6dk1vY93\n",
       "52g5nXGl96s+G7j5ObXrQz2nqDTmO+Wme8/Nz7pW6Fh0zzXpPtHr78x5aY535aTx6saI1k2vz/VD\n",
       "2ufoPe/Gc+orHZtV0/GZ5isAAD4p+EUSAAAAAAAAAAAAAAAAVFXVYmdnZ/J1yfTtz84vg+g36/Vb\n",
       "1Xp81fQb4VoP978/9du7+q1T/R8AT58+neTxve99b0jrLza469VvROu3avUXHtw3lfV/AOv//nXn\n",
       "6DeT9Rj9lq3++kZV/ma99lXVtD/T/wZ1v8Civ/yhde1cr9I8Hj16NDkm/a+WzjeGtc30WnScuXy1\n",
       "zdw3wPV60v+Wcnn8xm/8xpD+93//9yHt2lSvR8fvW2+9NaTdLwqlb5G7b9rruErfXu/ci+l/Djl8\n",
       "axx4/Tr/o1LvcTdv6Fqhc0/n1ycStx7p/0jRtUXna/e/ntL/7JvTRroOuPVI833nnXeG9IcffhjP\n",
       "cb80dp/boylto87/4lJ6TueXqtz/Qkx1S/97u7OGa13d9epaqePG/U+oVcvt/LqG7g10L+j+l236\n",
       "371uD6p1Tb8s5/ak6X/wu/so/dqi9qcbV9pmnb1D59eO0t/ZowCvX+d/oaZfFnDzRpondX529/uq\n",
       "66L7LP1yhps307uYzq9wpetz15b+93anjdKvInR+pXbOL4KlX3qZ88sCrm/Sr1116p5+aa/z3J32\n",
       "ZC6PdH2dNtJ6dPYsen2dX09VnV/uUenXcTrvSB6inbUe7p2Jtlt6TnFt9jp++bXTZul5b86vxq06\n",
       "r1Tl51JH59bO83DKt/OrLZqHtrMbI+nXndxck37RT7n7N5XT+fXjdP1uXUjP953+Tb94NufXRdx4\n",
       "1jbRYzq/sJP2Dp1fQEv7nA6tu9uT6buYNMd39midMZHWSp7bAACfVPwiCQAAAAAAAAAAAAAAAKqK\n",
       "L5IAAAAAAAAAAAAAAADgDl8kAQAAAAAAAAAAAAAAQFXxRRIAAAAAAAAAAAAAAADc2Xj16tXkw7W1\n",
       "8fslt7e3S9NVVaenp0sLWiwWQ/r8/HxyjOa7ubk5pK+vryfn7O/vD+mXL18O6b29vSH97NmzSR7b\n",
       "29tDemtra0i///77k3O0bkqv17XZhx9+OKSfPHkypI+OjibnnJycLC1X+06vrWpad62bK0Pzvbi4\n",
       "WPp31z7Hx8dDWttI272q6uzsbGld01itqlpfXx/SV1dXS/9eVXVzczOkNzY2hrSORTc233rrrSGt\n",
       "bfLRRx9NztHxnO49rWdV1X/8x38Mab0+LaOqSueBL3/5y0P6W9/61pB+/PjxJA9t1w69Hq2rpt28\n",
       "oW2vY8LNcW6cAHi93L14eXk5pHVd6Ehzus4Jrlw9xtVD10a9Hl3DtAxXN10XOnsynff1nM6cp8e4\n",
       "+Tu148HBwdIyqvIeza2dWq4e05m/U5u5601jr7N3SPsNNxZ1DKT9o7v+lEenf9PYdOXqGNc99/Pn\n",
       "zyfnaD563+jY1HFWNd0bdvaTbqzdp/s8LcMd4+7xJI1f9ifAz0Z6xqyazpOdc3RO0/lK16c5+yC3\n",
       "7mtdNd/OPkDnPH3f4643zbXK1V3r2nmvkvJQnefWzvqr71pSf7t3JOk9i6PlpH1sZ4xof7s2Sm3v\n",
       "ylFaV62HW1u13J2dnaV5du6jTv+6vd6ycufci66u6flI+8rloXNL577R+1fLce+eVBpHrk1Tucrl\n",
       "kd4ruXGl40jvvc59lPbgnTlOy01jpirvp939m56p0jvQqvze160LWjctV9/xubGanhfcOfqZXk96\n",
       "Pq7K64975kjPB+lZvlNu57ks3RNuXM15v5HuX/27WwfTO930702uXL1+d71pz8JzGQAA/x+/SAIA\n",
       "AAAAAAAAAAAAAICq4oskAAAAAAAAAAAAAAAAuMMXSQAAAAAAAAAAAAAAAFBVVRsudqLGrOvErEwx\n",
       "+1K82Kocx9PF0tNYeRr37+joaEhrHExXt0996lNL61VV9fLlyyGt7ah1f/To0SQPbVet25tvvjk5\n",
       "53/+53+G9P7+/tI8tJ5V0xicb7/99pD+0pe+NDnn/fffH9J6vdpGLlZkaiPXvxqDUfPd3d0d0u56\n",
       "dUx0Yn/u7e0NaW2zTkxOPUbLdfGPU7xjrauLUakxRrVc/XtV1VtvvTWkP/zww6XnnJycTPL4pV/6\n",
       "pSH93nvvDelO/+r1duKlpv515sTaBvDwUpxwd2+62Mv3pXm0ajofub2QSvHJtZzt7e1JHnqOrgMu\n",
       "Tq9+pnOe1t3tr/Sc4+PjyTFK803t7tYW1ble7ZsU39nloW2v5bp1P60dKZ63q5u2WWevkGLLu31s\n",
       "inHu+i7FhNZ66X7LlaNcDPs0ftXZ2Vmsm+bp+uazn/3skP7+978/pHU/0onfreW6caX56v3p4qID\n",
       "+Nlz85t+1rmfdV5Ia5ibe9J67Ob4dI6uG27vkNYjx837qx6f3it1ntu0rzrzdXo34daWznuyZfVy\n",
       "5WpfuPcqWpe0l3Brfto/unGVynHjSLl3IMvydHXRvUHaB1WtPjZduZruvHfQ/tO6u3bWvV7n3ZN6\n",
       "iPu38w5XpXe67nr13Zvb+6V6aL6d/ZW2iZ6jzxOd+6jzPKj5pDZz40zzTfvNqumcltrIXW+aW904\n",
       "03PSeHb1Sv9G4e7v9DyY8qzKz7/ufWx6n5HeKbi6dNZspXNPGmfus/S+tiqPo5RnVb7XOu+E5syT\n",
       "qR1T/wMA8H8JqyIAAAAAAAAAAAAAAACqii+SAAAAAAAAAAAAAAAA4A5fJAEAAAAAAAAAAAAAAEBV\n",
       "8UUSAAAAAAAAAAAAAAAA3FlsbW3dTj5cLIb01dXVkL69nZxSm5ubS4+5vr4e0mtr0++wrK+vD+lX\n",
       "r14N6Zubm8k5Wo7WfW9vb0jrtVRVffazn518dt/Z2dnkM83nxYsXS+ul7VNVtbGxsbTc8/PzyWf7\n",
       "+/tD+vj4eEg/evRoSGuburp88MEHQ/rJkyeTc/T6NA/tK+0Hd4zSMVI1rb+m9Rw3RrSuT58+HdKn\n",
       "p6eTc7T/tNzt7e0h7a5Xyz06OhrSJycnk3O0//R6NO3Gs9ZNj+mMq3feeWdIa92fPXs2yePx48dD\n",
       "WsfMwcHB5Bw9Ruk84eaeNK46XL4AHpabJ/UzTbv7O80Lmkfn/tb12K0lKpUzZ25yeyOlddV1w12v\n",
       "zvsXFxdD2vVNotfXaefU31XTdT2d49os1W1ra2tyzuXl5ZDWdta11O3h0v7Z2dnZGdJ6/Wk/7cpN\n",
       "ZVRNx0Ta17j9pLazluP2z9rOen2adv2rx+he3917qY3077q/rpr2ue7z9L5ydU3zlcMeBfjpc/Om\n",
       "zumddT7d4zrHdd53pHcmnXI1D3d8egfk5mf9LO2V3Nqix3TW33SM1sutz2ndc3OxlqNrdPq7Kyft\n",
       "g1y+uqZ39ls6bjp1VVp3bec594hr57SW6h5G9xquHL3XOvs6Xff17+69ktI8OnvFzv2q0ph37bzq\n",
       "fNXRuffSvNHZX2senft31eeFzryheXaeU3TspbHqjumc4+bbZTpjM717dHVL7e7abHd3d0jr/NSp\n",
       "65xnjrRGd55T0j7e/VuBntN5N5Hm38671VQ3N7emfOe8I9E83fyc2qRzL6a66jNm1fR5T+vBcxsA\n",
       "4JOKXyQBAAAAAAAAAAAAAABAVfFFEgAAAAAAAAAAAAAAANzhiyQAAAAAAAAAAAAAAACoqqrF2tra\n",
       "JIBbiv3p4qWmOHcpLmLnHGfVWOMaW7FqGk/xrbfeGtIffPDB5Jz9/f2l5WhceBePT2PracxKF5tZ\n",
       "Y1BqHtp3Lj79u+++O6S1DX/0ox9NztF4r514zkpjjB4cHMRzXrx4sbScw8PDIe3GptZV0y9fvpyc\n",
       "8/Tp0yGtffPGG28MaTdGNI5jJ2auxpx88803h7SO748//niSh8ZIVi5mo46rx48fLz3n2bNnkzx0\n",
       "vOrYdOVqOdoXnfiSWne9/k4exLEEfjY6cdHVqvGdHZ2fdb5yewUtV9dXzdPFatZ1UPdC7toeIv5v\n",
       "iit9cnIyOUfnVi1H027/pdej1+LW7BTzO6VdudoXrp1TbHG9Xu3Lqun1dPaxmq/GYtZ9QWf8633k\n",
       "2lmP0f2j3hPOpz/96SF9fHw8pN09oOXqMdpmLm646sRnT+Vof7tyXVzw+zrjKs1x7vmIPQrw06fz\n",
       "StV0LtV7092/ujfQOUHnJj3e5atpd47SOU7nq856rOue25/oHkTr2nlnoPOvm9OV1lXr0emrVd8r\n",
       "uXPSGu36Kq3zrh5pHCm3pqU9qGsj/Uyvv9MeaV10bZTK0evvXG9n3df7Io0r945Q90b6zsT1nZar\n",
       "baJ1d3v/1L9uXKV21XI6YzONGXdOysOV23kOU9rnaQ5w94S2SafcNE+mcebq1hkTqdzOM1b6twG3\n",
       "dqa6aR5unUjzRuf+Vak9Oue4OW7OnK7m7BXS80LnHX7Ko1P3dE5nn5Pmnjnldua8OeOqM8cBAPBJ\n",
       "wC+SAAAAAAAAAAAAAAAAoKr4IgkAAAAAAAAAAAAAAADu8EUSAAAAAAAAAAAAAAAAVFXVhosTl2KB\n",
       "ulh6KT65xgV08UNPT0+X1sOdo3VJcT0fP348ySPFoHz06NHkHM33/Px8SGvsUxcnL9XVxVv8+OOP\n",
       "lx5zdnY2OUd997vfHdIao1D7oWoaGzDFuXSxBC8uLob0ixcvltajahqLOcXkdHXXsdmJH6p98fLl\n",
       "y6Xl6LVVVT158mRpni5m5+Hh4ZDWmLonJydD+unTp5M89LNnz54NaXf/7u3tDennz58vzdPFD9V7\n",
       "QPtO//7j6pLKUSlGJYBfXG5+XjX2tltLdc7W9cftjXT+TXHC3Vyk85XuL3S+rqo6ODgY0jpvduJK\n",
       "6/Wl2OtVOb6ztrPuexzdG7g20n1MiqvcaWfl6ppiM3fiLKdx5Oqlx6Rx5mKva99oOe4e0OvVYzpx\n",
       "wx2MZ9YAACAASURBVHVv1LneFHs6xYmvmraB7pV2d3cn56SY5ilGdtW0f9MepntMKhfAT597ltX5\n",
       "Kb0zqcpzgM6bnblHj3FlpGf3tE66PHTv5K43tYnOva7u2s76LO/qnsrVa3FraXon5MrVfPUY/btr\n",
       "s7Teuj1aOqYzNnXs6b7PndNZK1Me6R2B65v0fK/X0unfdP3uGLf3S3loudo3nb1S2pO6+yjtcxw9\n",
       "RvuqM0a0LpqHu940T7j+TOVqG3XeT6b7yLVhGiNuD57m33QtVXmOc/dMahNtZ3e9mq++R3Tvo9Oz\n",
       "jLaR6ytts85zd2d9vc/NtZ3nbKVrlpar95ErN42Bzv2cxqZrM+2L9J7FcfNCyiPdEw9xvZ25p/Mc\n",
       "CgDA/1WsigAAAAAAAAAAAAAAAKgqvkgCAAAAAAAAAAAAAACAO3yRBAAAAAAAAAAAAAAAAFXFF0kA\n",
       "AAAAAAAAAAAAAABwZ7G+vn6rH7569WrljNbWxu+kHB4eDukXL14M6Z2dnUkeFxcXK5VRVbW+vj6k\n",
       "Ly8vh/Qv//IvD+nFYjHJ40c/+tGQfvTo0ZB+/vz55JyTk5Mh/fjx46V/d216e3u7NL27uzs5Z39/\n",
       "f0h/9NFHk2MSbbPNzc0h7eqqfaP9p3U/Pz+f5PHmm28OaR0TjpZzc3OztK5XV1eTPLQdz87OluZR\n",
       "VbWxsbH0mK2traX1rKo6Pj5emocbizrG01jc3t6e5KFjUev6wx/+cHKO1kXbWfM4Ojqa5KF1d9eX\n",
       "zlHaD9fX15Nj9DMtV8d3VZ5rADw8NyfoeqRriTtHj9E80pxQlecWNzfpvKjzr64/bm3RNVz3Cnt7\n",
       "e5NztG5aDy3X1V3romuW7p2qpm2kx2g5rty0z3Hzs15P6l9dn1weei1zxpWuG/p3R+uqZbi6pP3H\n",
       "nDWt0zdaTqd/te6adm2UxmtnDdd9nObh9oJ6v7r9xH1uXGkb6b3o+jftpzp5zHkuA/CTcc92+nzb\n",
       "edbRe1rnK50T3Hyuc6nOG516JG6+1s/S+uzqpmm9fve+Q+d45eZJrYvOm3PWbF1/OmtaylPXeEfb\n",
       "rLNX0nZNa7r7LO17nPQeyV1vWkvdmqd11XK1rp09i44jV9e0v9C/u7GpOuu+SntDNza1brqPd+d0\n",
       "nqGW1aNqOqel5wcnPQ+6ctM+r9NG2r9z3melOaGb731z+tfNG6vOz056XnJ11bro82+ai1xdtQ3d\n",
       "vr7zLHNfZ7+teaTniap8/3bmKz1nTl1T31X1rkelPUpan13dOnOrtmsa33O49+3aRno9nTkdAIBf\n",
       "RPwiCQAAAAAAAAAAAAAAAKqKL5IAAAAAAAAAAAAAAADgDl8kAQAAAAAAAAAAAAAAQFVVLba3tycB\n",
       "3DTGqMY0dHHzND6dnqPx6TSGY9U0nmYn1pzm++TJk6X1cnk8f/58aT06cS61nE4MZT1H0wcHB5Nz\n",
       "Pvzww6X5aixBFxdQ4/wdHh4uLaMqxynVct94441JHs+ePRvSer0uRvKLFy+GdIpV7MZmih/p4h7q\n",
       "PaDt2IlvnGIiu7qm+JGaRydeqvaVxiR1Uh4ujqfeJ9qf7t7TfLWdtR90rFbNi6OtHiJ+JoDVpXjl\n",
       "bu1M876e4/LQuVWP2dnZmZyT4mbrPLK3tzfJQ+e0FCe+Ksee7sRMTnGWXRzttK9RuneqynHRXd90\n",
       "+m9ZGe4cHVduXdA+17TuRzrX29nn6BqW4ko7eg90Yo3rOboX0jFxdHQ0yaMTazvRNtI2fPfddyfn\n",
       "vP/++0Pa9YXS6011dfei3jeaR2e/kfLoxA0n9jbw+rn5WtfwzhyYnkM797fOcWnf46R9T4fWze2V\n",
       "tJy0D+i8q9A8Om2k+XbeK3Xm4yTtc1y5qW/cc7eeo8d0xpVeb2dMpP5Unb2S1s3lqf2Z3k+6ezHd\n",
       "r533k+79zbIyqnp7X6XHpHJdnvoccnx8PKTdHJf6pvM+S9usM2a0f3UO0HJcuendU+d5IV2fmxP0\n",
       "nPTM5Y7R6+88C6V7vPPuLc0jnftIz0ljtVOPzj2S5p6qXFf9u+urtNfv/NuI9m+qhyu3s+7rvKjX\n",
       "0+mb9IzRafc053XevXbGRGrn9C69Uxe3z9G5pLO/AADgk4BfJAEAAAAAAAAAAAAAAEBV8UUSAAAA\n",
       "AAAAAAAAAAAA3OGLJAAAAAAAAAAAAAAAAKiqqsVisZgEcEuxXF2sxBTTPcVvd+c8RKw5jYPn4h4+\n",
       "evRo6TH7+/uTc77//e8PaY3jqTGUOzH99Jx33nlncs5HH320tK4HBwdD+uXLl5M8tK4aT9TV9eOP\n",
       "Px7S2ianp6dDWuMzVlVdXV1NPrvPjQmtq8Z2TfFTq6bjRuvm4h6enZ0tLUev18VbTHGVXTzGVNc5\n",
       "caW1zVw762cpxqxev6uLxsd196/2lxs396UxVDUvvvWcGNgAHt6cmMgp7eZJnXt0TdP12OWjscc1\n",
       "TzfnaUxdXbPd9R8dHQ3pw8PDIX1ycjKk3ZqW9iRu7k1xo+fEs9Z1wa0len26hqU8q/Ke042JVP9O\n",
       "HG23F0jl6pqV6uHWQV33lYsLr22S+tPVSz/TPF17aP31+s/Pz2Meum9/8eLFkO7sjRJXru4NO3HC\n",
       "U0zz9MzlPiP2NvD6ubVU51KdA9xzqErvJty8ove8znGduSjN+U6ar9z16pye2si9V0rvgDrXq/sa\n",
       "LdetEyo9l3fy6ayLukebs5am93Wuv9N+ozMW0/sst17pvk37xtVVryfVo7NOdt5DaD7pHnBtlo5x\n",
       "94D2r9ZNz3HPLarTJqvuDfVZqGpad5035+wnO/diqkfnOSXNNa5/Nd90P1f15v1lx1dN2yCtEx1p\n",
       "vLu6aD3cc4rmk9ZBV27aT7v7SGmb6DtP97yU2tHdV9qfaXx3+qrz7xqaT7pvXN01387cumq57nr1\n",
       "s/TvK1Xz1rCUR6pH1XSMP8S/WwEA8IuAXyQBAAAAAAAAAAAAAABAVfFFEgAAAAAAAAAAAAAAANzh\n",
       "iyQAAAAAAAAAAAAAAACoKr5IAgAAAAAAAAAAAAAAgDuL/f39W/3w4uJiSK+tjd83ub2dnFKvXr0a\n",
       "0hsbG0P6+vp66fFVVYvFYkivr68vrYer6+c+97kh/f777y+tl3N4eDikLy8vJ8ccHR0tzWNra2tI\n",
       "u7rrMaenp0O6U1e9fm0zbVP3mZZzfn4+OWd7e3tI6/V06q5jYGdnZ0hr3auqTk5OhvTm5uaQ1r5x\n",
       "5epY0/HrxvPu7u6Q1rrv7e0Nab1+d45e79XV1eScm5ubIa3trPXS9qmatoH2naurtpHWVceqG/96\n",
       "jObprlfL0bHZmTdSm7l7QM8B8Pp11iNNu/lZP3Pr6306z1RVnZ2dDWldf3Q+q/Jz57J6uetNeyN3\n",
       "LTrv6Zyuc6trM62LltPZk2m+6Vqqpu2qa7brm7R2dOqu9Fpc/+p+So/RdcNdr+5RtK6dtUfrqten\n",
       "ZVRN665948pNddNx5q5X+0/HiNuj6PVpHlovtydN/an3t8tXr1fH6px2dvee5uv2QikP9xmA18ut\n",
       "T+m5pHP/prXF7QN03kh7pw6dm9w6kerunrt1ntR8O3VN+6nO8376e2ff8xDPlFpXV24aR67ctBd2\n",
       "71WUjufOvk7XxlXbvWrePkfbubP3U2ktdeNKy9VjOvfinH2szj96XynX35pv5xkrjZs0F/24z9Lf\n",
       "tZ21blqvzvXOqauOPd0Lu32tnqN95do5zS16fe5e1LppG7q5ac59o1JdO/9WkO6bztyj/avt4fLp\n",
       "PB8lWle3r9e1Mj3vz3kO7zwbpHE25/mis8+ZU86c5/tV69F5z6LcO4M5e0EAAD4J+EUSAAAAAAAA\n",
       "AAAAAAAAVBVfJAEAAAAAAAAAAAAAAMAdvkgCAAAAAAAAAAAAAACAqqpabGxsTAK4pVignRi6GsNQ\n",
       "/+5i0aWYdi6upZazt7c3pI+OjlbOQ7m4hxpfT+ue4phW9WKrKz1G87i8vIx5uNiA9x0eHk4+0xj1\n",
       "Ws6cMZLi41blvtnf3x/SL1++nByj8TI7MRvPzs6WnqNxazuxInVMuNiuKR5sJ9ar9oX2p15bpxzt\n",
       "h9PT00keKb6kq6v2n+ab4hBXTcdiuhYAPz/SfNyJZ61zT2dtTTFzOzHOda5J8b3dZ5qHi8+u16fn\n",
       "6NrSiS3f2ZNpPnqM5un2Fmk+duug5qP10L/r/sTprCX6ma6Vc2I3d8aVtmMa367NUju7sahtonlo\n",
       "uS5eucaNTs8PVXk/kcZd1fT6tJ1dGyW6l3AxsdN99FCxxgH87Ok7harpeqvzU2e/odJe4sfle5+b\n",
       "r3ROS/Oke17SOTy9/3D5pOvX5/Sq6br+EGtpZ65N1+faOe0FdO10dde+0HLcc7ceo+V0xmbaL3f2\n",
       "sdpmmnZ7hzQm0t/dMXotned/baP03qkqvwNz15v2V533k2mPMud9hxvPOsel/u7UXc9xdV31PWFn\n",
       "jCj3nJLum871prq5cjv3yX1znildXVdtZ7efnvNvBUrHiM75nXJ3d3eX5lE1vT7Nt9MPqU3cGpDW\n",
       "n9R3Py7f9HfNJ617nefhVEZVfs/dWVvSc7YrV/tL5zTNo/NvUMrtUXQO66y3AAB8EvCLJAAAAAAA\n",
       "AAAAAAAAAKgqvkgCAAAAAAAAAAAAAACAO3yRBAAAAAAAAAAAAAAAAFXFF0kAAAAAAAAAAAAAAABw\n",
       "Z7G+vn6rH97eTj5ameaxWCyG9Obm5uScV69eLc3T/V3LWV9fX3qOK/fm5mbpOZqnK3dtbfxOjubp\n",
       "aJukerlzUvr6+nqSh9Z9b29vSLvrPTs7G9I7OztDWtv16upqksfp6emQ3t7eXrmu2jdady3D0Tw7\n",
       "Y0Lb5PLyckhvbGxM8tC+SPdEVb4HUhlVvh3v077rlKvlXFxcTI7Re0DbzM0reoy2o/aDtrszZ/56\n",
       "iDkPwOrSOtg5Z2tra0jr/KRzU4dbfztz2ip/r8pzXtV0ftZzdM7XtdUdo3m4NUDXcW3nznqlx2jf\n",
       "ubVT203rodfn1iPNV/vOrZOr7qdc/+p+Quvh9ijpHuiMEaXtrn3njtF89Vo6Y7PTzppv2ud1nhf0\n",
       "GHfP6z42taPLQ8ee5un2z6vevw57FOCn7+DgYPLZ+fn5kE7zV1VeW+a8M5izv0jzZuc5fM78lere\n",
       "2aNp3V07pz1ap820rp01bdV3QG5NS2PCtZFej9ZN83R5pL2CO0f3XOndW+d9R1onq6Ztouux5tHZ\n",
       "f3TuxdRG2h5z3nG692a7u7tL6+bOSbQ/O/OV9oWW27mvtE1cuWkeSO/mqvJ85PbC6T3wnPd36Z5w\n",
       "+aRyOnloG+p70qrpc0hnDVu1XNc32s4PsQ528khzeuf603OLGxP6ztK1ybI8nc57iDS3dp7D9ZzO\n",
       "Gpf2Cp12TmPPtaHWbc46qOdoOZ25Zs5+AwCAX0T8IgkAAAAAAAAAAAAAAACqii+SAAAAAAAAAAAA\n",
       "AAAA4A5fJAEAAAAAAAAAAAAAAEBVVS2qahLATWPHdWI0TjIOMd+dFF+yEwcw1d2ZE5dW4/5pHMQU\n",
       "t9VJ8emrpnFYtU00FqaLn5pivTpaboqXur+/P8lD66rnaBtW5ViYOkZcf2sMQ21XF+dR2yTVw/Vv\n",
       "arNOHF49R+Plnp2dTfLQNtF27cSldfEy73Nj5uTkZEh34pauGqvY5aHXq9fi7l8de537E8BPxs3P\n",
       "Otek2L5V03s+xVXuxLbVOc3F2U7zc4r/XDXdG5yfny/9e1WOR9+Jxa06x6R4v2k9rurFvFaaT2pn\n",
       "dy3afzs7O0v/7vLRMaFraSeudGc8p32qtntnT6rH6BiqymM+xfN2Out+GhPaV67NUuxxdx/pOWkO\n",
       "cNK92NlPElcb+Pmk85d7Dtd5RM9x87POYemZcs7a0nnfoXNLJ4+0/nSeyzprWKLzZmeOV1qum2vT\n",
       "9bl1Mc3hmnbjKp3TKTf1p2t3bdfOOzDVadeks5Zqu+n1prW1at77nHQ9aa9YlZ91HC037VFcPfUz\n",
       "bVd3jtZV0/rc4vJI79o6Y3HOM1a6bzrjKt3znbp3no/S81+nr/SzOe8a59wTej3ahu6ZI61RnTVM\n",
       "69KZa9L6k67flavmnKNt5p5LU55uLKY5O41Vl0f6dw8nraWdtaUzB6Z2m7PP0WM6+405YxMAgF9E\n",
       "/CIJAAAAAAAAAAAAAAAAqoovkgAAAAAAAAAAAAAAAOAOXyQBAAAAAAAAAAAAAABAVVUtFotFDOCm\n",
       "8ehcfLrT09MhnWKgu/i/es7u7u6QdvH4UhxL/fv+/v4kj6urqyHdiR2osfL0+vXvru6rxj6tyrER\n",
       "9e+pH6qqHj16NKRfvnwZz3Hxfe9zcQFTrE/Xzim2vF6/i0Gq/avHuL7RY1K8UBcHU9soxTJ25Wha\n",
       "6+r6Qa9XuTiP+tnZ2dmQTnFrq3KbuHNS/MhOvFTtKy03tUenHgB+cu5+1s86ceFT3OEUD9npxCtf\n",
       "Na6yyzPl4dZsnTt1TtO/z5nPOuVq3dP+o8rHyV5WhvtM16POXknboLOGpf7TPF0767417S9dPlq3\n",
       "TkzszvhVem9pWuvVWUvTXqJqWv+0F+yM50656fo68cofop1Tnu562aMAr5/OPXt7e5Nj9Hk/vXdw\n",
       "9Byda9yzXXqGdHNEZ09yn1tbUl070rNcZ03r7OvSMZ35O623nXJ1DOj1uzUhjRs3JtI7n7S3cB5i\n",
       "/HbaLJVzeHg4+ezo6Ghpvp33Sqlv3P5S9z5p395539HZT6Z1vzO+U1+4ftCxlt5FdZ7TOs86aZ7o\n",
       "vBPS6+vMrXrOzs7OkD4/Px/S7rkmvbOe886v01fpHVinnee0e+cdXzqncw+oOeut9nl6hu7cE9q/\n",
       "nbGZ1qfOfPW6zlFz5vQ0Xjvv3zWP1HfunDlzbaq7zgmuLp09GQAAnwT8IgkAAAAAAAAAAAAAAACq\n",
       "ii+SAAAAAAAAAAAAAAAA4A5fJAEAAAAAAAAAAAAAAEBV8UUSAAAAAAAAAAAAAAAA3FlU1e3kw8Vi\n",
       "SG9tbQ3pq6urSUa3t5NsBuvr67Eymsfa2vg9F61Xp1z9u8vDXc99m5ubk8/0enZ3d4f08fHxkL6+\n",
       "vl5aRlXVzs7OkHbXdnl5Get236tXr+JnWo72d9W0jba3t5f+Xa+latomri9UGgNa19PT00ke2lfa\n",
       "F3ot7hil/e3aWdtE0xsbG5Nzbm5ulh6jfaXHu7ppm+zv70/OOTk5GdLaZtrurn30nM69p/3r2nFZ\n",
       "no7m4eYezSeVC+D1SOtAZ++Q7l8316Y53tVL51uda3V91vnN5aF1d2t6OkfXQa1HVW+9VavOz66v\n",
       "3Bp1X+d6te76d1duWvfdtezt7Q3ptIa7vdLFxcWQ1rq7uqYxoH93+ytdw7XvdKxWTfdkep9om3Xu\n",
       "xc440/7Tumq57j7SNtG+036Yw40RvT495iH2OU5n7wPgYbl5U+cWvTfdvapza1oXHZ1HOuWuuu67\n",
       "49Mc59YFncP1nIeYE926oNIzteuHtM65vWO6nk5dU/+6cvV6Urkujzl7cM1H9yyduqfrdeXq9eq9\n",
       "qPXo7OO1bm5/terzwpx3b+45Rekx6f2lK1fb1dVV21HbrNNX6XrdfJXeN3fySOOqs6/Teug5c+6j\n",
       "zh4u1X3Oc1ynLqmczvyV+rtqup7q/Zvu76rpWOvMcUr7t/O8oOVoPdxakp6pOv35Ovb+neeWNCY6\n",
       "957SNnPzV3rv3alrur7Ou5nU31XT/uzMTwAAfBLwiyQAAAAAAAAAAAAAAACoKr5IAgAAAAAAAAAA\n",
       "AAAAgDt8kQQAAAAAAAAAAAAAAABVVbVYLBaTAG4phmwnBrjGvdOYoy5u3OXl5dLKdmI0qjmx9TpS\n",
       "LFMtx8VfTLFt58Q71rimndinp6enQ1pjR1ZN216vZ3t7e0i7uNJnZ2dD+vz8fGkeVVWf+cxnhrS2\n",
       "yfe+972l9XTndGI0Hh4eDmltR22j58+fT/LY29ubfHbf8fHx5DO9T1J8Z1f3/f39Ia3Xr+1eNW37\n",
       "k5OTpXl0YmNq2t0zWv90vW48p/vXjYnOvQbgYbn1K61p7p7XeUHz0Li1bu5JseQ75ab43Z34x524\n",
       "wymfzjypbdK5XqXruu7ZOjHt9Vp0X9DRmb+1Lpp2cbTTOtdp50ePHg3po6OjeI5KcdJ1D+eO6fSv\n",
       "rvu6N9A2cv2r+w3d13TWX133Uwz0quk4SnlW9frvPjeuHmKvkPrK6YwbAD8ZnVc6z7KdNVznbJ2f\n",
       "OvNK2rO4fUJ6dk1zb9V0n9MpV8/RY7Qcl0daf9w5bt7/SXWeu1ObaNrVM+1ZXLnav1qO1suV+xDr\n",
       "kda1894wrceuHmlMzNlfde6BtJ/Sc9z7TD1G233OM4fu4Tr9q+bce1pOZ8zo3OPeRWk+qX87z0sP\n",
       "MSfMeRfVGZt6ve655D63909rSed9ndYtrVcuXz3HXUt65kj1dOXquHLv2909fZ/W1b0HT2ua69+0\n",
       "N+ispXPuNaXtrm3kxkhqV/deJc1pc96JdNaFVM6c5zYtx917OiZ4twwA+L+CXyQBAAAAAAAAAAAA\n",
       "AABAVfFFEgAAAAAAAAAAAAAAANzhiyQAAAAAAAAAAAAAAACoKr5IAgAAAAAAAAAAAAAAgDuLjY2N\n",
       "W/3w1atXQ3pzc3NIX11dTTNaLIb02try76i4v2u+GxsbQ/r2dlLVur6+HtLr6+tL05eXl5M8tBzN\n",
       "09X15uZmSO/s7AxpbQ9NV1WdnZ0traumq6ZtoH2lddW+czQPvX732eHh4dI8Ly4uJp89ffp0SGtd\n",
       "nz17Njnn4OBgab5ad0072nef+cxnJsd8+OGHQ1r7Smn/V03HWmc8a930evb394e06yvNQ8fR+fn5\n",
       "5BwdJ1puZzynsen6Js0Tmqe2YZVvg2V5uHI74wbAT8bNG3Puxe3t7SGt64LmOWe+SnOTo3m6NVzn\n",
       "K62bm6/0M71+zdPNk7ou6DmaZ9V0T+bacVk93Wdpv1VVtbW1NaR1LZ3TZsr1jZara6X+XdPuHL0+\n",
       "d47WRdtd025spn279n/VtI3SXr9zH3X6RsuZ079pLLrxnPZC6Vqq8vzUmeM0rWNkzngG8JPT+3dv\n",
       "b29yjM4b6XnJfabroM6BnfcOnX2OzoP6LNuZazUP9x5FpXw7+zxtozRvunL0nM4zpR6T9mxVq7+L\n",
       "cdef1vk5ddU1z7VZ6qvOuj9nv5zydNKY7/SV6rzjVNqu2jfuPYue0xnPaS/cafe0v5zTvzp+3djU\n",
       "cjvvGlV699TZ13bmyTQf6RjpzD1pzq+a1j/Nk+6dbnr+c9eW6tp5Hk5t5p6x0v2qdXd5dNafJF2v\n",
       "k9qscx+lOc7loXNAGjNV03ZM97y7j9Sc+yjNrZ1/5+jULf0blObReU5T7tldx6JeP89tAIBPKn6R\n",
       "BAAAAAAAAAAAAAAAAFXFF0kAAAAAAAAAAAAAAABwhy+SAAAAAAAAAAAAAAAAoKqqNjqxxzXm25y4\n",
       "h8rFI9TPNKadO0dj2mndOvFEU8zczvWmclzdtZxOLFeNVXx8fLz0706Klbi7uzs5R6/v6OhoSLs2\n",
       "Uj/84Q+HtLb7zs7O5ByN56znaPxFN55TfFgtoyrHpdVyXTzcFN/ZjYnDw8MhfXJysvQcN55TnGUn\n",
       "xWVNsX1dHqndq1afa1ysTO0rnXvcmOjEQwXwsNy9mGLIzokxm+IDV/XiGyudN/b29oa0rgOdONrK\n",
       "rb8XFxdDOsUMdjGkdc7uxGdP83EnTnqKK+32Dnq9eozm4WIXuzX5PteGaR/3EPHZ3VhMcbQ1j849\n",
       "0YnVrO2W7olODHDN0/Wv7mt039qJAZ7Grztn1XjWblxpG6R9T5Xv81RXAD977lkh7RX0+bBquqal\n",
       "Z5DOs47OK27uSc+unbk2za2d+VnneG0P16Za7pzn0PR3t+9J7ezqmtYFTbs1Ie2vOuco7V/XZuk5\n",
       "3F3vqv07Z+/f2ZPr9en4dv2b2tnRfNO+zvVL515L56S+cv2b3se6dk57+84coHvwzjvPlK/m4ebJ\n",
       "9K7NPaco7e/OPZHmANcP6Vl11XfrVb17Pu199X5216v923k+0nec+g47/TuA03mW1bpp/+o66e7f\n",
       "zjNVqptK91XVdC6d854/vUt1eaY1uvO8n8Zi5/1s55x0TOf9u9a18+8aAAD8X8UvkgAAAAAAAAAA\n",
       "AAAAAKCq+CIJAAAAAAAAAAAAAAAA7vBFEgAAAAAAAAAAAAAAAFRV1WKxWEyCzc2JoZtiQ6o5Me46\n",
       "+XRiqqp0vTs7O5NzTk9Pl+bRibmaYhZ24lpqjMJOnEeNneiuT+n1aexELddJ8Y1dXEvtX61HJ3bx\n",
       "3t7ekNZ21mtxdd3d3R3SGtez01ede0T7IsWo1FjOVdM20diXJycnk3NSHE+tqxtX2n+aZyfWaYoX\n",
       "6vJIMXMfKlYxgJ9MJ650igFeNb1fdX52seQTnb86MZL1GM3Dra0aV7oT0z3tUVI9q6ZrhbZRZ0/2\n",
       "EPHo056lKq+dnVjNWm4nhr22gdYjpaumbaJ1ddebYjF3Yrxr3+i+R/csrty0j3X3VYph79pIj0n3\n",
       "nhvvaU/iztHxrOdo38yZr1y56blE22PO/AXg4enzU9V0vtI5zj1PpbUlrQFV8/ZKnflp2fEuX20T\n",
       "N1+l6+s8p2mbabnu2V3r31kXUrmdZ9k0x6/6jswd45730zuftJeqytfnytVjOu9iVNo/uzxWfVZ3\n",
       "eyWlbaT7oKppO2ubdN5VrDpGqqZtku4J1z7p3aI7J+3JOu/vVOc9Unp3mt4Jds7p7EnTO003x6e9\n",
       "b6dc1Zkn037RlaFtkp5dO+9nH2KO6+SR3gO76+28o15WD6fzrKPjJPWVm2tTX3XW7LQudPYfc85J\n",
       "de2MES2n829Q6e+dcjvrYNoL8m4ZAPBJxS+SAAAAAAAAAAAAAAAAoKr4IgkAAAAAAAAAAAAAAADu\n",
       "8EUSAAAAAAAAAAAAAAAAVBVfJAEAAAAAAAAAAAAAAMCdxdbW1q1+eHl5OaTX19fHkxaLSUavXr1a\n",
       "mt7a2hrSGxsbkzzOz89jOUqPubm5WXr83t5eLFfrenFxEfM5PT1dWq62R1XV/v7+kF5bG7/Xx7F2\n",
       "lgAAIABJREFUc3x8vDTPqqrHjx8P6bOzsyGtfVlVtbu7O6S17lqPqqrt7e0hfXV1NaTd9SkdR9fX\n",
       "10P69nYyFCd9oXlo3+3s7Ezy0LppOW4sahtpOZqna+c0jtz4Tvdap9217lquO0fL1TGQ7quqadtr\n",
       "m2kZP64uy/6+ubk5OUbHUWcsAvj50Fnnlc6tOj/pHODmeJ03OnTt0PlI/67zdZWfB++bM3/p3Ov2\n",
       "LGlOd+uvSvsAJ637jtZV09pGuuZVTdtgTrlKx5FrM/1M83Rtpvlq3+jfXR6p7u7vmo+Wo+3cWcP1\n",
       "+t39ndpEz3F1n3P/pv7Tdtfx7o7pzDWr3mvsYYCfDZ173DOlri1pfaqa7hV0zuvMm5qvljtnflad\n",
       "cnVedPsNrYuWO+edQSeP1CadPZq2QWePqnXRc7Qeru6ddS+Vm/aXnWd5XcPc+4005jtttmpfubro\n",
       "fdW5vnQPuHZP7TxnbHb23OkZI+1Hqqb3a3rHW7X6u1X3d803zYEuH33W03Pm7NHmvMNOe3SX75z3\n",
       "aClPV3etm+6N3XhObdR5769SG1ZNx0BaBzrvhTv/dqDnaLnaZp13jZ37N81xnfeX6R5w96/mq3no\n",
       "HODuo/Rc9hA6z3Z6fe4+0ny0rq9rf5X2cZ0xAgDALyJ+kQQAAAAAAAAAAAAAAABVVbVYLBaTr0vq\n",
       "NzX1m7lz/idgKsPlm/53ZNX0fwvpt2z1m6vuG6Xpm9eu3NQGmof7X4parqZPTk4m52g+6X+OdP7X\n",
       "j+bhvol9eHg4pPVXTLQ9XP/qt8Y73/BP/8tDv2Xt6p5+cUZ/xaVqer3aF/prMq6v9NvMnXLTt5l1\n",
       "vLv+Tf97ufPt9Tn/OyH9b97O/z5Z9ZdgXF0635qf8z9DADy89D9HdN6syv/zqfO/NFO57hydN+b8\n",
       "r5fE/Q8d/UzX+Yf43zZO+l+J7n9rK11bOr/OcHBwMKTT/x7r/PJL+l97VblNtB5uHUn71jm/rqH7\n",
       "GpdH2l90/leimnNPdH6BZtX/qdm5j9Ivwbhj0vh25aa6uL1++p99nf+1xv9sA14/vTfd/9RN/zO5\n",
       "85yS5sk5c16HrhOd9x1p3XN1Tb+CMOcXLDr7nNSuD/E+q/OrAPorLZ1fY0i/ctH5H9Epz87YTHlU\n",
       "5Xbr/EpP59dhVXqn1RnPc34tJo3Xzq/JpPum82sEqR6dd36dPXj6H/5z7tfOL92kvki/Cln1MPut\n",
       "VK/O3r/ziw7pnV7nVx/VQ6wLnV+6SfOx6xvX58t0nmVV5z1/mr9cHunXgDq/ZJTyTL8o5cp1Hj16\n",
       "NKSPjo6WHj/n16+cVd/ndNbfztyT9iidX4NK49m9i0rvznluAwB8UvGLJAAAAAAAAAAAAAAAAKgq\n",
       "vkgCAAAAAAAAAAAAAACAO3yRBAAAAAAAAAAAAAAAAFVVtVhbW5sEcNMYby5GsNJ4sCm2XCcu3uHh\n",
       "4ZB+8eJFPEdjVKaYhlXT2HmdWJh6fSkO75yYqy5ebIpH34lLq3XVvnFxLbUc7YtO/MEUO7ET91CP\n",
       "0fiindiRnbGXYrm6WIlKY5vqfeRin64aD9a1mdZV+8bV/fz8fEhrf2s76/FVOe6u5lGVr1f/3olb\n",
       "qsfMaWcAD68T0z7NAS4fnVs78Z11XuzEDU9zjZbTmWv1GI1tXFX1/PnzpeV01t+0lrp1v7Mnue/k\n",
       "5GTlPNycrmu09s3u7u6QPj09jeV2YkBrOTquUjzkqrwHde2c9nU6Zjrx6dP4dsfoWOyUm9b5zvqb\n",
       "Ym+7vkuxxDt7wTRGOjHB5+xR0t875QJ4/dwant4rzHmWTfsgl0eqV1VeszvPQvrZ/v7+kHbrvq6d\n",
       "+o5I6+XWCT2mU9e0J+usx7rOz3lXoTprS1rXO+t+un63lqaxOWcsaru6PNK7mM7eMF1vp81U5/1V\n",
       "2ju4a0vt2rl/da6Zs2dJ7zyrpvdjqvve3t4kj7Ozs5XyqJrWX98DHx8fT85Rqa/cmEj9qe/VXB7p\n",
       "ucTde2kM6Dmd+7dzD6y6J+3Mk7pWuj14mo+1rp1n9849rsekNdu1s7aBrmmujdL7WL2/3byR7nHX\n",
       "zmneSH+vynOr09kL3efaTHWeu9M7at2PaL90uHfYmg/vlgEA/1fwiyQAAAAAAAAAAAAAAACoKr5I\n",
       "AgAAAAAAAAAAAAAAgDt8kQQAAAAAAAAAAAAAAABVxRdJAAAAAAAAAAAAAAAAcGextrZ2mw66vR0P\n",
       "WSwWKxf06tWrIb2+vj455ubmZkhvbGzEfK+vr4f05ubmkNa6axk/ri73ad2rpm2gddVytB7uM63H\n",
       "1dXV5Jytra2leWi5rq/W1sbvD+n1HR4eTs7Rupyfn0+OuS+1qSu300Zad/27GzNad23Di4uLyTnb\n",
       "29tDen9/f0g/f/58aT3cZ1quXktV1eXl5dI8tD9dO6f+1XvG5atprYe7Jw4ODob02dnZkNZ70312\n",
       "dHQ0pDvjyLV94uoP4KcvzT3uXk3rvM6Bbi3VY3TtcPNkWju0Xq7cVFcnXY+W6/LU6+ns69K+Tf+u\n",
       "62bVdB3orGFpb7C3t7f071XTNtJj3DlaF22ztO+rmtZd6+HOSfs27V/dJ3TMaee0l6ia1lXPcWMx\n",
       "7Sc6+zrtGz3G3Xs6btIexV2v5qvt6trZ1WXZOW7uAfD66Xy2u7s7OUbX/fS85Ojckp5tnbR3cuV0\n",
       "5kk15/2G0rk1zd9V03Vuzl5JablznjHd9ereUNuoU67WXc/RMqqmbZT6t3O9Wnd3jn6W2si9e5uz\n",
       "B0/vzea8A+ust2mNTtdSle81N3bTvNB5l6Hn6D7dvQNL7drpKy1H6+HaY9W9ruvf9Gzj3kWluUbb\n",
       "2d2LqX9dX2k5qd2d1J9z3gN3ng/TPe/O0bbX6+v8W0F6/nVW3VO7OX7Ov32k+bazlq7aZq7c1Fed\n",
       "tbXzbib9u432XWeMdNbOdP929mhpLtXnR1funL0RAAC/iPhFEgAAAAAAAAAAAAAAAFQVXyQBAAAA\n",
       "AAAAAAAAAADAHb5IAgAAAAAAAAAAAAAAgKqqWqytrU0CuKU4gJ34dKvG56uaxnnUPN05Kc5jii3o\n",
       "ztEYf51YeqvGT3XnpFi3Lt8Un97Fd9a48Brr08VL1diAGudQ8zg6OprkoXXtxALVttc2SX3n8tW0\n",
       "i3Wq40bHprahGyPaRnPiDqe4pW5cabl6jDsnxb7slJtiXnf6N8W1dPScTjtruavGTwXwMFLs2s6c\n",
       "rnmkdFVeSztxtHXtmBNrvRObWPNNcdI7eXbaWdtE1xbNw7WZ1iXFEe/Y2dkZ0q7dUxztOX3VidWs\n",
       "tF1dzHdtoxRn2sVyTrGY3ZhIe6NO7HEdI5197Krx2Dtx0lNfVU2vR8vt7B3S3t71jdtj3teJG955\n",
       "hgLwsHStqcrrsXvWSc82nWfZVK6bN1Z9purUvfOOJO3ROutver/hyk1t0tkrzZlb054zrXlV+f2G\n",
       "W1vS+tN5hk71cH2l9U97oc640nXS7RXTuFLu73P2y0rPSc8TVXnv37knUrt3xm56T+qOUdoPc8az\n",
       "GzNunNzXeaerdemMq/Qcqn/vjOfOWF31HZgbI3qMtrvrX/ee9770ftod05kTOs/m97m+Su3cWTvT\n",
       "GtZp5847g/TMrGl91+yOSfeIOyf9vfOeVKU5ouph3vurzjOl6rx3cWP8Pte/Ok466zwAAJ8E/CIJ\n",
       "AAAAAAAAAAAAAAAAqoovkgAAAAAAAAAAAAAAAOAOXyQBAAAAAAAAAAAAAABAVVUtqmoSwC3Fw50T\n",
       "KzHFfK/K8UE78TTnxJdM8VFdDMcUb1F1Yvlq/D3Xzp1Yn/d1YupqDGiX5+7u7tK6adq1aYot35Hi\n",
       "ibp4iykWphtXKbbr+fl5zGPVWKCOXl/q76ppX2ld3VjV/ktxHV3fpbjD7pxV71/XhtomnbilKa4l\n",
       "gJ+OVWNTV+V47CnPqhxL3p2T1huda9x+Q9dwrUdnjtdy9Jw5e6U5a6fSa6vK+zr391SOxpHu9JUe\n",
       "4+Z8HQO6Lmp7uLGZ1pI5Y3HOmra3tzekU0x0V05aW6tyHHhX1xTzuxNXOu0fO/sNraue4+KVn52d\n",
       "Dek5MbBXjV8O4GfDzQE6j+h669bw9HzUeS5N5bq1NM1xnborPcetC1qOXr/WtbOWpmupmq43ad1z\n",
       "5epnqR7us/Q+x/WvlpPed1RN21Hz1Tw7ewfdx7k2TM/qulfq5KHX69ZBrZvWPe1zHT3GtZG2Y9ob\n",
       "dsrp7EnTvNAZV0rLcXVPezLtb33vVJXfs3TGs9Jy3XNLOqfzDiy9r5vzPs+Vm545Os+UqS5uXKW1\n",
       "Q8t192KaazrPlKuOs6res6tKz/ed+0bL7bw3TeXq/sKtv9oXnXcGqZ3Tv9m4cjrvSJSW05mf56z7\n",
       "nf1EkuZntxfUMZDWcAAAPin4RRIAAAAAAAAAAAAAAABUFV8kAQAAAAAAAAAAAAAAwB2+SAIAAAAA\n",
       "AAAAAAAAAICq4oskAAAAAAAAAAAAAAAAuLNYLBa3+uHt7fjR2tr4fZPNzc1JRq9evRrS19fXQ3pj\n",
       "Y2Pp339M5ZbWw5WbaD2qqm5uboa0Xr+7Xj1nfX19SGtdXT0vLy+XlnN1dTU5x9X/vk6badvrtXTy\n",
       "1Tba3d0d0p26a56advlo3fX6tF6dctxY1LpqWvvOtaHWTdPunNS/yuWhY63TztpuOp47Y0TzePr0\n",
       "6dI8q6pevny5NA/t/8696MZAqiuAnw03H6W/b29vD+mLi4ul53Tu91SPquncqnOazt9u3tT1RvNw\n",
       "9dBz9Ho6677qXK/Wf84+LnHrQlrDVt33VeX12JWjaV33nbSWdvZkaQ/e0RmLKu1b3ZhJ90Rnn6Pr\n",
       "fGdfl9rIjZGtra2l9dC6uv6es59UOzs7S+vaGWcAXj99tq2a3p96/7r5Ks1pnWc/nSc7677Ox2nt\n",
       "dPO1W6OX1cPVZc6zu9als4anc7Qc1x7aF521Ja2vnXVRj+k8/6Yx0dlLzOnfhyhXdfaX2vZ6Tqd/\n",
       "0zhy76+SzvWl5xBXV21XnY8676KSzphI/T1nDnDtkZ6HOv2b5kV3TnqmmvMMqefoc2vVtP/Ss47u\n",
       "Haumfa7pTrlz3olpX3X2vmk+ntNXnb+ndbCztmibaZ5z3j128kj7Czd/6zGpbu7+Tfd4599TtO76\n",
       "d7e/Ojs7G9KdvcKq/eukNnN11XdPc95HAwDwi4hfJAEAAAAAAAAAAAAAAEBV8UUSAAAAAAAAAAAA\n",
       "AAAA3OGLJAAAAAAAAAAAAAAAAKiqqsVisZgEcNNYchrzzcXSS7FNO/Em58QQTvHJte4uvmSK3evi\n",
       "D2q+c+KHal1OTk6GtIuHm+Ibv674kgcHB0Na4wJ2Yp+meKEuvqZej7ajxqzsxEHUcufEo09xTJ1O\n",
       "/N8Up3VO3FY9xo0rHc8pnrO73sPDw6X10DHjPtO6deYerUsnJviq8UMBvB5pju/EOJ8TZ7lzjErz\n",
       "RJo3q+bN4el63byY6jYnNnMnBnaS9pdVfq+3jLt+3ZPp2tJZ9+fsSbXclKerm+ah5bg2SzGh3Tlb\n",
       "W1vxmPs662+njfQczVfr5fYOSeeeT/di53o7bZjuceJqAz+f9HmxKq+Lbt5Izxx6jnvv0NmjqPQM\n",
       "qXl25uvOfLXqnsXlkdZFR9st7Vk67ax1c+es+k6gs3foXL++R9Jj0pr+4+qSpP57HffEHG6/ld4T\n",
       "uXbWdX7Ou6e0rru55vz8fEjv7e0N6c7eaM6+Lr036oyr1J+dNkvluPdZaf/s+je9j0x71rlSPmke\n",
       "rZrWVeenzjs/vb7O9erco2Nxznql95nrK83X3TcqvX/Vus9ZF9w8qu38EPNIqperS3qX6vLQYzrP\n",
       "oSmPOXN8531tup7Ov8mk/t3d3Z2co/2X8gAA4JOCXyQBAAAAAAAAAAAAAABAVfFFEgAAAAAAAAAA\n",
       "AAAAANzhiyQAAAAAAAAAAAAAAACoKr5IAgAAAAAAAAAAAAAAgDuL9fX1W/3w1atXQ3ptbW3p390x\n",
       "6+vrQ/rm5mYseLGYVsZ8dt/t7aSqk3xTuS4PrbvSPF0+2iZ6zsbGxiSPs7Ozlerhyt3c3BzSV1dX\n",
       "Q3prayvmoee4eug5nTGhXDve5/pf66btmMZMVdX19fWQ1rq7PNL1ap4uD71ebSPXZm58LquHju+q\n",
       "aRvpMW5MaDtrPfb29mK5Wjcd3+7atN00rXm6sal9ke4JV5fU7gBej84cns7RuVbnhDl5uHlD5xbN\n",
       "o1NuytPNRVoXravOi67uac12e5S0r9E8Ly4uJnkkev1V0zbQ9aazhqe+0DWtqur8/HxI6/VrOa6v\n",
       "9Hq07q6dLy8vh3Taxzq6rnf6Iu3JlFt/daxpG7nrTfsnbddOPfUcV662iV5Pp1wdE3POSfdVp78B\n",
       "vH5unTg9PV16Tuf9hs4baT/ijklzkTsmvWeY8yzUeWcwR3qWdfNkekfSqVfab7hn99R/nWfOtJ90\n",
       "YyK9A0vvMqrm7XNSHnPW7M46+Dqe1TttlN5VdPb+6f2VyyO9R9LxPWff15mvOu+8ks5clO5XTbs2\n",
       "02N0b9yZJ1Nd3fjWffwcWtfOGNG66ThzY0KP0X389vb2kHbXpn2lx7hnu/S8kMa7+6zzXjSN+TSP\n",
       "VuWx2Jlbk86/UXSe99M6MLcuy+pRlf+tZ87zUuc9cCq38xye5vCdnZ3JZ9r2nT0ZAACfBPwiCQAA\n",
       "AAAAAAAAAAAAAKqKL5IAAAAAAAAAAAAAAADgDl8kAQAAAAAAAAAAAAAAQFVVbbj4bSnun8ZOrJrG\n",
       "ltN0Jz5sio3ZiQ+rce868elSLL1OPM0U1/H8/DzWQ/Nw8SXV2dnZkNa+cnFMNV6mluNiOmqfp+tx\n",
       "5abYmB06rjRmYSdeaidOa4rFnGJVV+UYwe7vKRakxiB1bZjGfCc2sx7TiR+qY1Fjvbo4rauW66SY\n",
       "ucSoBH4+dGJxz4k7rPPE/v7+kNa5qVM3t8/R+TfF4nZxpXXu7KyL2gZabicPbbM5a5jOrZ3YxXPi\n",
       "Was0JlyM6NRmnXJTHu5658SzdvmsUi9H98JpP1I17d+073H5dmK66zFpLLp41tqO2jeurun5QK/F\n",
       "jZE54yrFK+/UnX0M8Prpvefm2jR/uXs1zZM6n7n1uPPsmuqa1jBXd5035zxDpzne5aFtovVwa4se\n",
       "k55dXTt39kYq7a86c3xa9zp7tFTXTl913iN13gmkPLSu2t+ddySp7o7mq/v2k5OTWNc0T3TW6zl7\n",
       "3/T3Tpuld2LuHKXnuPeV2p+dNkrndN4b6n0z591jmuM7+3hNu/kqjefOM4fWpbNv17p03tcpHQPp\n",
       "XZyry6rXX5X36f+PvXtpriS57gOeABqvngeHQ1sMa2GHF17o+38chewFFUFLMjUz1HQ3gH55gwh1\n",
       "/esQ59wiekjO/H67Qt/Kd2VlZt+4pxqLWdbu/TN5Jro5Ya3Z/310aaSqXdOp83P1792YP7LOyXJN\n",
       "3r+TM4Pu3Tk5q+jmp6qNJn0BAD9HfpEEAAAAAAAAAIC1li+SAAAAAAAAAADwyBdJAAAAAAAAAABY\n",
       "a611dn5+vgtyd2os0DLhAzFmu1h6Vb4Zsy5j+N3c3GyuJ/HsjtT34eHhyXsmsW3zOtNcax+zL+Na\n",
       "5j1VrMhMIz9Txf480jepq18VG7KL/5v5VmXPWInZZnd3d7t7JjGvn/p8Vdb8TJZrrVmM4FNN4jx2\n",
       "cWmvr68311WMyny2umez+kzXZpN4mkfmnkk8Y+D5dXNt9W7p3kdp8n6axLDvYvXe3t5urqu5J983\n",
       "R+J15zt78r7q4tHnHF+lm3GzJ/nmey4/M4kTfyT+fNY33/tV32QbZH272Otr9fG7q/d+fmZyT5dG\n",
       "3lOtJ7uy5niu1krd+rFab0zWul0a3bM46d9cs2SbVWOziz9f3TNJt2ONAj+9nAPX2r8Xun3Ln/rb\n",
       "U/8+2bcckfNm5lvNtd17cLJWyrm227ettW+DnAOrNure85O+6vKp2qg7m5j056n74epv+W6ZrKe7\n",
       "NCuZT3dGMHkvZlkn68lcO0zWStmuWbYcQ1U+2VeT93Pek8/Ec+xTqjS6dU51Lpr5PMcaZjKuUjdf\n",
       "VWXvxtXkni6fyXn0pI26uWbSv0fOdI+caXYma+HufXNknuzeLWv156CTuadrs2re6ObjVM1fWb9u\n",
       "bzvJd/J+yv8/efPmzZNpVOl0c1qV73OMzS6NyXyd+VRnJPlsdWsWAPi58IskAAAAAAAAAACstXyR\n",
       "BAAAAAAAAACAR75IAgAAAAAAAADAWssXSQAAAAAAAAAAeHR2dnb2sfjj5vrDhw+b64uLi11CHz9u\n",
       "k8l7Ms0qjbwn08w01lrrxYsXJ+Wbn19rrbu7u831+fn2+zWXl5e7e+7v7zfXVX2eKkf1t3fv3rX3\n",
       "ZP2ybFn2LGf1mS7N6p63b99urid9lX/rylGl+/79+yfTqPLtZJpVOlmOHEdH0siyV5/JcdX1w1r7\n",
       "dsx7qny7sTip72QMdPdk2SZpnjr3TMoB/DSOzNk5L+Yzn9dXV1e7NPIz3Zy3Vj3vPaWqW5Yl5/Bq\n",
       "fs6y5Ts6/72az/Keh4eHzXVV3+5d0rV7lW6XZiXbvat/lW72RdWX3fsny161WfcumbxrMt28p0qj\n",
       "Wgt8avLu7OpfyWdxck9Xn5cvX26uq3Vsl8+ReaXbg1TpdvultfZtlGNvkgbw06vm+JTP8/X19e4z\n",
       "3Z45Ve/Fbn6a3JPvzkm5cj7OM5NKd26UZZ28w4/s0/Ke29vbzfWkLmnyLk1Zl8ke+jnqP3kP5piY\n",
       "rOu6fXZ3vVY/Bibt3O0Fqnbu1qRVO3fryUnfZFmyHNXzm/d0a6fqLLJb+07a+cjYPLJGO/U5mpwb\n",
       "TvqqG6+Tc7ScS7Mvqr7Jvsjr7my5uifHVbU3yHS7eWKyt8s9ZVX2ybzf6cbAZP/bnSVP5o3JfNXt\n",
       "uydjs9sjV31z6lnqkT3HZK7pzlUm/89x6rnLWv0YOfI+urm52d2Tz9ZkLALAz4FfJAEAAAAAAAAA\n",
       "YK3liyQAAAAAAAAAADzyRRIAAAAAAAAAANZaa52dn5/vArh1sW2PxADv4otWf8t7MrZg9ZnUxXCc\n",
       "pDGJWZj1z3wmaeR1xlZcax/Pt0ujio1ZxW/uyprpdHEdqzQy3yrufbq6unqyHF3frXUslm1+Jvti\n",
       "EtfzyHM0iXfblaOLRV3J57Ur+yQebvZd9ex1fdPNK5VJf4tbCX8dJjHcO11842oO7OLh5vxV6eKX\n",
       "V7r3wJFYxd16ZK3+HV71Q6aTbdTFf16rj62ea7SqrEdiRHf1m7Rz3nPkHZ4m6+dTy7XWfizmeqta\n",
       "K+QYf/PmzeY6+6aqW5Y9++7Iu7aLb73Wvg0mceG7PUbmU427TONI/O7uubI+gb8ONzc3u791+/tq\n",
       "fs65pXs/VXNAN8dN1lLdu6aaz47s90/dd1fnEl39qrp08/GR/eGRtUKOm3y3TtLI98+krEfeHbmO\n",
       "m6T5HOO5WxtOzs26vqrWl926pjqb6vYYt7e3m+uqvzPfrg2rfLrnt6pvri8m+XZroxwz1XN3ZG/T\n",
       "jaNu31Z9ZnKu1rXJkbJP3gtH7knd+frkvLJ7t1Rr4W6uqe7p2jnH0ZH6Hznj7dKsyvIcc++RfUua\n",
       "jM3ujGAy90zOVVLXJpO5pytXlU53Zn1kjFRza3d2bi8HwM+VXyQBAAAAAAAAAGCt5YskAAAAAAAA\n",
       "AAA88kUSAAAAAAAAAADWWr5IAgAAAAAAAADAo7PLy8uP+cd3795trs/Pt983+fhxd8v68OHDk/dc\n",
       "XFxsrt++fdsWLu+Z5Ht2dra5fvHixeb6/fv3uzTyMw8PD5vry8vL3T3ZRplv3pNprrWvT6ZRyTbJ\n",
       "6/v7+8119sNa+/pW7Zoynao+T5Wr+lv2XbbpWvt27MZiNa7yM1n/qt1PfQYyzbX2Yy3vqdooy59l\n",
       "q/qzyzfbcPLsZb7dc1b9LetX9W83nrMu1fPbPUdV32R9qnSB51XNGzmn5bM4mfMm77BO5pNzxFr7\n",
       "uTTntMkcn/lkGtV8lXIOv7q6evLfq3Sznau+6T7zHO+WyvX19eb67u7u5Hy7+lb9242jLHtVl+5d\n",
       "WY2JqixP3TN5D+Y91XOU92S6k7FYvdefyqP6W9UmnW5sVvl2e4rsh6pck+cmTcrWpZn3PMecB2xN\n",
       "9g/dfqF6Nk+dAyZp5Jw+eR9176fJvNm9n6uydXvqI+/S6p126r67e/dWaUzepWmyvuzWV3m+U93T\n",
       "tWv1vs57csxX66tuTdKt66uydXlU93TrjyMmZwaTMZGOrFkm4+bPTWOyzunG1WS+mpwjTfYyne5M\n",
       "aDIWsxw5zqo0qrPip9KodHuMKt/ufPLIGrUb72vtx83k2Zyc63f//hxnfl0ak/3wqc/mn0r3qXJV\n",
       "+Uz6tyvr5Ay7e/Ym4+pI2bt9WeXU9/rkHZ5p5JywVn8GZJ8GwM+VXyQBAAAAAAAAAGCt5YskAAAA\n",
       "AAAAAAA88kUSAAAAAAAAAADWWmudXVxctAHcMk5cFVvu1LiOR2KAVzH8Mj7dkZict7e3T6ZZxQnM\n",
       "WJgPDw+b6yPxfye6uLM3Nzeb6yqmbrZjXlfxjiexED9VxQXMsmW7TuI8dv1bxTDMfCbjqot/2/V3\n",
       "lUbKONNr1f31qYwDeSTecRVjdfJ8dv9exdnt8u3mjUmc5fzbJAbrkWcPeH5H5ppuTpvE2J3ERO7y\n",
       "zfl3EtM+05jE1O3yzXdJ9x5Z69i7pGvXyXsw8z3yXpi0c/ceqOKZZ326/s11wFr7vprEDe9ibXfv\n",
       "xeqevK7WG7k26p6rSXz2rlxVPl3ZK11c9Oo56uaJyXqji8VdrSe79dWRmOAAAAAAAD8Fv0gCAAAA\n",
       "AAAAAMBayxdJAAAAAAAAAAB45IskAAAAAAAAAACstdY6W2vtAolnHPiM750xwteq475/KmOAV2lk\n",
       "XPD8TMYVr2TM96urq5PKudY+lnx1T7ZJttnDw8PmuoqbnulO6tvFWu9ir6+1b+f8TNa/Kmvm05Wr\n",
       "yufm5mZzfXd3t7snde2c/b1WXZ9PvX79eve38/Ptd6yy7F3frbVvky7NtfbtluMmx3f4+eI0AAAg\n",
       "AElEQVQ1rjrZhmvt63Okvlm/HGfZHmvt+ybHQOZTpVHV51PV85vtnGUFnl/1Xsh548g7rHsPZh5r\n",
       "zd5ZKT+Tc0u+f3K+Xms/px2Ze7o2q+bJlO1avTsn65hPTdZXk/7NNurSrfq3S7Nqoy6dbu1UpdGt\n",
       "a6vP5HX2TTVmuvVGdU++f3O8ds9VpRrzp3r58uXmuip7js1Jfbv1VPZnNd7zM5lPdU/2TffMV+Mw\n",
       "863GHgAAAADAc/OLJAAAAAAAAAAArLV8kQQAAAAAAAAAgEe+SAIAAAAAAAAAwFrLF0kAAAAAAAAA\n",
       "AHh0dnFx8bH70MXFxeb64eGh/cz5+fY7Ku/fv99cf/jwYZfG1dXV5vrjx23RMs0qnbOzsyfzrdJ4\n",
       "9+7d7m+dzCdNyt6lmWWvPpP5/OpXv9pcv3r1apdGliXTrPrm7du3J91zeXm5SyM/k9cvXrzY3XN7\n",
       "e/tkOTKNamymHGdVX97f3z/5mRzvVZtl32QaVb45Frt8qzGSn5mM77wnyz7pq5T3ZB6TfFL23Vr7\n",
       "MZFlq8ZENz8BP43unTZ5d+Y9E5lut5aoPpNp5ByXc1N1T74rJ++S7j1Rzc95T+ZbzYHdHD5ZO3Tt\n",
       "XPVd3pP1yXatxkjWZ/L+7WSa19fXu890a5RJfbv3fPUuzfpUY+9UOUYm6+csa1XfyfrpU1VfHVlf\n",
       "dc94l2Yl1yS5dlxr326ZzyTf7h4AAAAAgM/BL5IAAAAAAAAAALDW8kUSAAAAAAAAAAAe+SIJAAAA\n",
       "AAAAAABrrbXOzs/Pd4G2u9jbk7jhXYz3m5ub3T13d3dPlqOKz575ZFz4TKOKLZ8yLnwVaz7LkvVL\n",
       "k3jmk7jx3WfyOuO3V5/JNDPmfSXTePHixeb64eFhd09+5ohTY82v1fdNJdut6otPTWLaZzmqsZht\n",
       "n5/JfKo08jnKe6pnL/sry5ppVO18fX39ZBrVPaeOxWoMZRqTeePImAB+etXzm/NRfibf2VUanWq+\n",
       "yvkpP5PzU7V26NYk1dzUzfuZ5mTtkHNrtVbo1lOTtVKWfbJ+7NI9Msdn/SZlPfJu6dq5uifr2707\n",
       "qzVapnt7e7u5rtZk2QZZ9kyz6rtMN5+B6jmarCeeKsdafbtWa6Oqz59KYzKuJnNL1rdr9+r5newh\n",
       "AAAAAACem18kAQAAAAAAAABgreWLJAAAAAAAAAAAPPJFEgAAAAAAAAAA1lq+SAIAAAAAAAAAwKOz\n",
       "i4uLj/nHDx8+bK7Pz7ffNzk7O9sllPdUn+n+/ePHXVFaWbaLi4vN9f39fZtv/i2vs25r7ct6e3u7\n",
       "uX54eDg5jaxLdU+WLe95//797p7O5eXl5vrdu3dtvlXZPpX9UKXx9u3bJ/+9Sqcq26eurq52f8t8\n",
       "sr7572v1ffHixYvNdTV2s6xZtuqerl3z31++fLn7TI75zGfynGX9J2Mzx16Xxlr7Nsp27cbMJJ9J\n",
       "vkeeG+DP171/q/kq3wvdeqOaN/KefC/kO3yt/RzevcMm7/BJfbNs3bxYzXkp57yce6vPZNmyH7r3\n",
       "V5VGVd+ujbKs1fyd6U7auVuTdZ9fa98G19fXT6axVr+uObVca83enaeu0yd9deqaba21bm5uNteT\n",
       "9XOXTz4zVTrZjt16ZK19O06egcznyJosHbkHAAAAAOBUfpEEAAAAAAAAAIC1li+SAAAAAAAAAADw\n",
       "yBdJAAAAAAAAAABYa611dn5+vgu0nTG+M054FQO8i6We/z5Jo7tea633799vrq+urjbX9/f3u3tS\n",
       "xi/P66qsz+FI3PuUZcu48Blrvson49Pf3d3t7sk48Fn2rh/W2sefzzQmseW7+mb8+rX6GPY5vtfa\n",
       "1yflWKw+X43XT2W7r7Vv+yxb1i/rtta+TbLdq3u6z+S/V7I/sxyTNsq+yTTzukrj1H+v8gV+Gt17\n",
       "vnrmu3dnzl/dfF6lOZk3jsw93VxavY+6eXFS1q5Nqjkw7+nWAVVfZT5Zv0n/dqrPZ31yjEzyuL6+\n",
       "3lxnXSbvxcl7MP/WrUmrNPIzkzV3J9uoGptd2ap2znu6teERR56JyVqpW/tV6/j8W67jJmV9jjYB\n",
       "AAAAADiVXyQBAAAAAAAAAGCt5YskAAAAAAAAAAA88kUSAAAAAAAAAADWWmudXV5e7gJvZ/zujIte\n",
       "xVrv4tFP4rVnPhkTvIoL36VbxSvvZL5VGl28+YytXsVAz3jsXRrVPdlmR+LTZxrZ/9U9XYz7qr5Z\n",
       "lqxf1b/5mSzr/f395vry8nKXRpYt+64qa9euV1dXT+YxSaNq58mz9qmq7Knrq7X27Zz5Zt9N+jc/\n",
       "MxmLme/kOarGTSfLUpUN+OnlMz55h+fzO1kHZD45j1RzzfX19eb67u7uyXyOzHnVOyx1a4dK5ptz\n",
       "6+S9n/nmv0/KPnmXPDw8bK7zfZtlnbTzEd17MMs1SaOSY+/29nZz/fr16811rhPW6tdg1XqyS2My\n",
       "nrPPJ+/jbt1yZD05GXvdM5+qNHPNme06WV91+5aqna1RAAAAAIC/BL9IAgAAAAAAAADAWssXSQAA\n",
       "AAAAAAAAeHT28uXL3e8l58895887Vz/V3YU+SdVPc+fPmefPl09+ZvqLL7548t8noUBubm4213/8\n",
       "4x93n8l8suxZv6q+2Y55nWmutf/Z7Pxp9fwJ7azLWvv+ffPmTVvW1P3k/aS+WY7qZ8YznazPjz/+\n",
       "uLl++fLlLo38SfDJz+J3IXS68EBVupOflk9d31Q/o55jM9uoKkf+LX9aP+s/CU01CS+RbZT1ydAR\n",
       "WbfqbxkGoBpX+WwdCRUBnKZ6/3ZrhUnIs1NDsKx1LLxVptOFxpiE5OhC3ax1+rtjEhZvkm/qwolM\n",
       "wg9OQp9kCKE0CUOU9c2y5jttrT4c3aT/uzBxlSxbF9qlSrMLJVetUbI+uTaarOu7+k2evS7fyXOU\n",
       "qnu6sFm5LpiUfRKOsJtrjoQOBAAAAAD4KfhFEgAAAAAAAAAA1lq+SAIAAAAAAAAAwCNfJAEAAAAA\n",
       "AAAAYK211tnXX3+9C7ydMb/zehKrOz+TccNvbm5291Qx6z81iXnelWNS9oxxf3d3t/vM9fX1k+lm\n",
       "GpN8sy7v3r3bfaaLx57/njHf11rr6urqyTSquPCZTpY1r7Mca+37N8tR1Tc/k+2Y90xi2mffvH//\n",
       "fndPyvpn/Sb5HmmjLOvbt2/bfHNs5j2T+ma7Z/2zXGvNxngnx2K6vLzc/S3LkmWt0nz9+vXmunrG\n",
       "gedVzVc5D+b8VM1XOZd2c+1EpnFkTs/rau45UvZMp6tf9e9d/bq5t0ojTdrsyFroSL5dGpP6nrq+\n",
       "rMoy6d/8TLfmnrzDj/TvkfF8ZFxl/XIdd2SNNnnmT31uqrJ3/XtkHdS1e1WW51hvAVunvnsAAAAA\n",
       "fgn8IgkAAAAAAAAAAGstXyQBAAAAAAAAAOCRL5IAAAAAAAAAALDWWuvs6upqFwA4YwRX8efTqXGE\n",
       "Mwb6WrM46OlIDPtT06zipJ8aa/2IquxdfPbniPE+ic9+pP6ZRleOST7P0b+TNLqyH1HVrSvLpB+y\n",
       "bNUY6BxJo2vXI/Xt8qj+lmWt8nj37t3m+sjcA5xm8vzm83pkjn8Ok/nqyPvpLzVPdvk8Rzs/R9mf\n",
       "y+eo30+V73Ose46U46fK99Rn4K+p736qZ36SLvC8/lJzDwAAAMBfM79IAgAAAAAAAADAWssXSQAA\n",
       "AAAAAAAAeOSLJAAAAAAAAAAArLV8kQQAAAAAAAAAgEdn5+fnH/8iGZ+dtZ/5+PEvUrRnkfWr6jJp\n",
       "g5+TbIO/pfr/tZR98kxMxt5Pkcbn8FzzRn7mr6V+8Evz1zrXAAAAAAAA/JL5RRIAAAAAAAAAANZa\n",
       "vkgCAAAAAAAAAMAjXyQBAAAAAAAAAGCttdbZWuvjX7oQAAAAAAAAAAD85flFEgAAAAAAAAAA1lq+\n",
       "SAIAAAAAAAAAwCNfJAEAAAAAAAAAYK3liyQAAAAAAAAAADzyRRIAAAAAAAAAANZavkgCAAAAAAAA\n",
       "AMAjXyQBAAAAAAAAAGCt5YskAAAAAAAAAAA88kUSAAAAAAAAAADWWr5IAgAAAAAAAADAI18kAQAA\n",
       "AAAAAABgreWLJAAAAAAAAAAAPHrxly4AAAAAwF+Ds7Oz9jMfP35s78m/5T15/bl05ThS30k+R9Lo\n",
       "0jxSjkl9f4qyTfI9Pz9/8t8rXf2qNCZ9fmq+R/J4jrF4pC5HxsRPMb4n6R55JiZy7H348OHPTvM5\n",
       "nt/01zJvTu6p/BTjqnLqvDh5Jj7X3Jq6efE53gufy+cYR9W/5/P6HONqUva/lnnj1DQn6X6u8QwA\n",
       "f4v8IgkAAAAAAAAAAGstXyQBAAAAAAAAAOCRL5IAAAAAAAAAALDW8kUSAAAAAAAAAAAevbi5udn9\n",
       "8fx8+/2Ss7OzJ6/XWuvjx49PXnd5VCZpVmV56t+7ch31/v37zXXXhpW8pypr124fPnx48npStuqe\n",
       "y8vLzfW7d++eLEely6dqo/zMxcXF5nrSn0fGQLZR9u/nGlenpjt5FidpdvU98rxOnPr8ZrmOenh4\n",
       "2FwfGc/AaarnvXvvVe+jSbqnmrwHT01jMtcemTePvBeOODWdqs0m68dJOqem2bXRkb450r9ZlyPr\n",
       "2K4ck7I9R30n/TvR5XNkjBxZk3X3TOarrlyVST6npgH8+Y7MRZPnOfeuz7GX6fZtVVm699OLFy92\n",
       "aWS6Wd9qTvwc66kj82Q3x1dlP7LfP/VdMsk3+2KyTz11LVGV5ci7s2uzyZolx8hkXHVtVo275zhX\n",
       "ObIOOJJv94wfmVcm4znbMc9MnmNePLKG6eavz5Xvc7RzNWbymc57Mt+3b9+2+Rzp3yxH5juZr7pn\n",
       "scqn81zv0u75nezT0pF5syt7lUbeM3lnd8/rkbPVybOX/1eQ43Vy7n8k33Tk/XvqucMkXwD4ufKL\n",
       "JAAAAAAAAAAArLV8kQQAAAAAAAAAgEe+SAIAAAAAAAAAwFprrRcZe2+tfay8jCXXxQZd63nixE1i\n",
       "nWb8vSpW4Keur693f3v16tXm+osvvthcZ6zBtfoYlJnPmzdvdml0MSon7Zxtkn338uXL3T2ZT7Zh\n",
       "NSbyM13/Vv1waozZtfbtXPVFl2+X5iQGZ5b9OeKjVm2Yf8t4k1183LX2/ZtpVvl2MTcncVq7slbP\n",
       "bxf7cxJ7fNImKZ/P29vbJ/Opxurd3d3mOus/Gd/ZV9nuk77KfKoYtJnO1dXVk/8+iWOb+Vbtfmp/\n",
       "TmKf5mcm/d3lk+2x1n6MT57fLp71JKZ96p6RKp0c30fmr3wm7u/v23ty3ExiJudzM4mh242r54jD\n",
       "W+ne2XldrTe6cVW1Ua4fujja1fOb+WQ5qjn9OdZxk/fPX0Oaa/XzzySfybN1JN3u80fa4Dnq+9fS\n",
       "n5/jnurfj/Tvn1sO4PM4sk/r1hPVv3f3TOaATKNbX1bpdvlU74RuzzzZ2+V1lv1zzYHZJkfWhqm6\n",
       "p9vbHOnfyf6369/uLKP622Sf0p3PTcre1bcq66lnBp9rXB2ZA7o2+VzzRmcyJn6q+p76HB2Znyvd\n",
       "/DQ5Z5nUr7snTfrhyBx36nnskboceeZT9W7pzgwmY+Kn2rdMzhU+NWmzyfnkqc/A5PPP8T468mwe\n",
       "yffIu/RzjBEA+LnyiyQAAAAAAAAAAKy1fJEEAAAAAAAAAIBHvkgCAAAAAAAAAMBaa62zy8vLXRC4\n",
       "jBP39u3bzXXGRl1rHy/y5uZmc/3w8NCmkfHoJvlmWTPOZeZbxcW7urp6shxVLMz8W+Y7iWGY8jNZ\n",
       "/8lnuri1a+3rm200iQGf5ehidK51LHZvppv1u7u7e/Lza611fX29uX79+vXmOuNtVvnc398/mWbV\n",
       "V90YmcS17GI0ZppVGln26p7s8xwjkzS62OKTZyDzyXmkGpvVWHuqHGutdXt7u7l+9erV5rqLwVqV\n",
       "bTKusvxdf1f1zXuyr6p5MsuW92Sa+Vytte+/fAZyHllr1o6nmoyjU+OwVvXNNsq+qNq5e89l/as0\n",
       "Us4tVRu+fPlyc53PUY6ramxm2fMzVf/mPJD1yTabxJXOfKvnN9PJfCfPURdrfbLeyHbOMVP1Vfbn\n",
       "JK50F7N+Mtd2McCf49kEgL9Vk/dxvm+7fVrlOfbQuQep1le53ujWPbmGqdJI1Xqy28tN1rVdux45\n",
       "V8l1z2QtnCbr9synW39N8qnaaLIv+VQ1Rrpzlqqs3RlBPjdV2bv+q569SbpdGt3+oGrDU/fuVb5Z\n",
       "1skz3/XFJI3OZM+R6VZnQCnHWncGWH2m+/fJHJD3TM5zcjxPzjLyb9muk/Ocro0mY2RS32y3rqxV\n",
       "v+TfujOTI/lM3keTMXHqmfzkrCJV80ZX1km5uvXGZJ7s5q8j+VZjIp+TzKebEyrd2fJE9s3kPGsy\n",
       "lx4pCwD8HPhFEgAAAAAAAAAA1lq+SAIAAAAAAAAAwCNfJAEAAAAAAAAAYK3liyQAAAAAAAAAADw6\n",
       "u7y8/Jh//PDhw+b648ePT16XCZ+dba6vrq421w8PD7t7Li4uNtfv379/slxrrfXixYvN9fn59rsx\n",
       "mU+WY6213r59u7m+vLx88t+rfPK6y2OtfX2zzao0M538TLZZ5rHWvh0n9Z30eZdvV46uDdfa1y/b\n",
       "bJLvu3fv2nxzXKUcV5OyZxtmu0/KluWq+io/Uz1rKdutmwOqds6yZl2qMZRl7eo/eSaur6+fTLPS\n",
       "PTfV3JNjL1VlzbJkPpO5NtPNslV9k/WblDVlPl39q89kfbq6rNW/F7K/q3xyjEza+ebmZnN9f3+/\n",
       "ua7eJXd3d5vrrF9Xl6osmUaVbz7j2e6ZTzW/ZRvlZybPQJZ9Msd3fVGN527e79qjKku20WS+OrJm\n",
       "6dosx91a+7FXpdvpynrqOx4Afs4ma4d8d1b3dGvwyd61Wy9XeWS6eV3tIVO3H67WDt05Q5a1Kvtk\n",
       "f5C6s6esb9XuuU/r1tNr9ecok7V/ljXLUfVDtn23363GZtdGR/a/k3V8t/Z/rn136sZRlUe3/+3W\n",
       "9Wv1/Xtk/5tjYrKnnJS1q98kjSN7uyx/15+TNuv21JXunsmZ7mQ8d20yOdPt2nnSv119q/PK3Gdn\n",
       "2aq5KPPtxm8153XvvUl9u/ONydwzeT9181X3npyU7cj/yUzOkjPd7j1Rpdud2Vcy3279sVb/zs7r\n",
       "yVriOc6vAODnyi+SAAAAAAAAAACw1vJFEgAAAAAAAAAAHvkiCQAAAAAAAAAAa621zs7Pz3cB3TIO\n",
       "3t3d3Z+fUROfb619/LmMeVfFnst0MmZjF8t4rbVubm4215OYwV0cz0ncvC5u6SSOZ5dvlUYX929S\n",
       "/xwjkziI+ZmMBXl/f9/mO4mvmLo4ltVYzDY40s5du1Z1yb91cbMnffXy5cvN9Zs3b07OdxK39kjs\n",
       "3q5+OQcciQ9btXMXg/NIDNJJzM0sf5fPZA5IVTtn/fL5zWdv8kykI3GHs2+OxNSt+jfLms9AvtMm\n",
       "sU8nsXu7mMhdnO1Klq17Ztbq47NPYtpP4v92z8Ukje6ZqJwaN7wau9n2XfzyStYvyzGp7+QZ6GIE\n",
       "T2JET/oCAPjT8l06Wcd1a/0je9vJWjDTzbVCpjFZ96RcO1XpdHubag3enedU9e/WNV3919q32eQ8\n",
       "J9PJ6yN7jolMp1v7VvXtPlO1aTde83ynSqM7Z6nuyXS7/qz2w9fX15vrSd+cuneryj45j0z5max/\n",
       "PmdHyj6Ze7Ick7mnO9N9jv6d7O2y7HkesNZar1+/3lx3Y3EyB0zm+G7fnc9zNT93c/ikrN174rnO\n",
       "/DKf7hz4yLtlMp6PzPHduWFV3+65mbx/J32RunF15HznyFg8df1R5Tt59rqzmCPnH0f6FwB+Kfwi\n",
       "CQAAAAAAAAAAay1fJAEAAAAAAAAA4JEvkgAAAAAAAAAAsNbyRRIAAAAAAAAAAB6dnZ+ffzz1pg8f\n",
       "Puz+dn7+9HdS8t8/ftxne3Fxsbl+//59e0+Xbqb58PDQ5pv1e/HiRZtvljXTODs726VRteNTeaxV\n",
       "t8Gnrq6unixX5d27d+1nsvx5nflU9e3aubon/5b1n/RVfqZLo3J5ebm5zjY7km9V3+45mrTZc9Tv\n",
       "yHjONsg2mvRv5pPtUY3VzHdS/26uyfZ4+/btLo0sW15X+ebzmfWZzHnds1i1c6Z76rxZpdG1YaV7\n",
       "nitVWbp8u3HTPc9r9eOqKnv3jE/q26VRzRE51rLNjswJk89k2bJdJ2lm20/GVTd+89+r+Tmf6eq5\n",
       "6fLNNCbv38yn66u19m10ZJxlPpP3PgD8UkzW093798h+v9sLTfKp1srdPmyyb+nOO25vb3f3ZBt1\n",
       "e52Jbs9V5Zv1zTOgybpvsibtPjNZx3d7rGode3d392Q+kz1Ht/+fnFVk/07O/DrVPdkGWdbr6+vN\n",
       "9f39/SjdTrcPzXJlv1SfmeyxMt9uPFfl7Pauk/7tzoCeoy5r9fvBSd91++Fqn5r3ZDkmZ2CnnjtU\n",
       "n0mTfdvk/dOlO6lfOnJel89n7qGPnJFku1ZzazeuJvvh7pyhega6c9FJGt0zMJknu/FdybJN3oOn\n",
       "ri+6M+8qn8kapRvPk3E2Kdtk3gOAnyO/SAIAAAAAAAAAwFrLF0kAAAAAAAAAAHjkiyQAAAAAAAAA\n",
       "AKy11jo7Pz9vA8VN4uJdXV1trjPu4cTniDWX5ari4mW+eT2JpdfFT53U7UjMvi7fKg5i5nOkfzMu\n",
       "a8ZjrMqV6WY5Jm2Un8lyTeI+TuJK52ey7NkP1Xg/EiO4u2cSu/jm5ubJsk3ilmZc4UmbdapxlbFN\n",
       "u3mjilnZxd2djKsuXnfVd12c1kn80G5MVP3bjc18JqrPdLFeJ8/RpO8yn5cvXz55z+Q5ynyr/u2e\n",
       "10mM2bxn0nfdOJrE5e3iwFd5fI541jmOJuO5y3cSW34S7zn/1sUd7vqlSnPyzJ+aZvW3Llb1Wv28\n",
       "n+/fyfrrSMxgAPi5mKw3Ur6jq31Jynd07qFTlWaWLfd6r1+/3t2T7/UsR64tJvvhLFvuF9fqz4Qm\n",
       "e8punVq1Ua4FM91sj6q/M9/cH1fr9m6N1u0X1+rPVSrdXmYyVrs2mYzvlP1d7Uuzvt2eq/Ice+js\n",
       "i7u7u9093R4rTc5IJmdgOQa6eybPUbdPmzjSN5Pzy3y2uvE92btPnvlT90OT57ebeytdX1XPYveZ\n",
       "Kt98Po+ckXRtVrVzNwayXNUzMTmz7u7JdLv3YmVyrtLN+zneq7468n8SXdm6c5fqnmyTPM9bq3/P\n",
       "d8939bfJvNHlOzkT6s5VJv+fAgC/FH6RBAAAAAAAAACAtZYvkgAAAAAAAAAA8MgXSQAAAAAAAAAA\n",
       "WGutdbbW2gV462KBHonReCSuZZdG9bcuLmAVp7WLSVnFLMz4enk9iaeasRIn8XG72KaTWLZdGpN2\n",
       "7q6rcnTxQSfxB7vYmM9R/yrfdGo81T+VT/eZ7p7q3zNWZI6z53iOjsQtrWLKdul28a2rsuY4OhL/\n",
       "dxJjNuOC52e6GMpr9e1+JG74JN8uPuokPuxkfj41VvFkDsh45Ufis0/ilXcxhCunxqOfzBtZl3xP\n",
       "rNU/r13s1+qeLGs1Frv5avLePxKv+9T3Qo6ZtfpYzFUbnRqPvtK1UTUWq+fiqTQr3Rpt8swDwM/V\n",
       "ZG+Xa7J8P1drxUyne99W7/TMd7Iv6/ZUqfr3rM+bN2/ae7o1yWTtlOlmO1fnOV05ct1XpZF7im4/\n",
       "sdbsDOSpz6/Vr9GqNLs91mQf0+0fqnu6s5fJ+rI7v5rcM9lDdbpnoipL7ikme51uHzrZY3bP1ZE9\n",
       "SCX3IdWY/9SkDbt921r7Z7xroyP9X42rSfk/Vc0b3bNW5dvtfyfz93Oc6U7G3qmqfHNf3b07qzbr\n",
       "zueqZ6B7D2S7HnmOqufq1LO1Ko3u/zEm75KuPtW5Q5Ylz55ub2939+RnunnxSJtNnvkj57GdSd88\n",
       "x/sIAP4W+EUSAAAAAAAAAADWWr5IAgAAAAAAAADAI18kAQAAAAAAAABgreWLJAAAAAAAAAAAPDr7\n",
       "h3/4h4/5x3/7t3/bXH/33Xeb6/fv3+8Suri42Fx/+PBhc/3x4zaby8vLvnBnZ5vrh4eH9jPdv2e5\n",
       "1lrrxYsXm+urq6s233fv3m2uz8+f/k5O1r8q26SsXbrZrlnOtfqyVvlmPjc3N0/mU42RTtWXVbt9\n",
       "KvuqKnv+rWv3tep2e0pVzu6ZqJ6BTKcrR5Vv9m/3jFSy/zLNqp3zM3ld1SXL1pV9kkZXruqerE9e\n",
       "Z19W6XZjda3Tn4vr6+s2jbdv3z5ZrkrWZzLeuzFQ5ZttMmnX1D2/ORdV9+QcnmWt+iXfC9nOR56r\n",
       "7M/q3TIZR+nUd8nkfZR9M3nv55x2f3//5OfX2o+9TKMaV3lPN0ayL9fat32+S6pnohu/eU9V3yxL\n",
       "V5e1+vd8/ntV3xx7me+rV6929wDAL8VkXf/ll19urt+8edPek3/LNUqur6p3eHfucGRN2pWr+luW\n",
       "tbrn1LX+ZA+d+eSavJJpZD7PsT+s/tbth6v1dLeOm+x/M41c11b5nrqurdLt2miyr+nOA6p8c48x\n",
       "0e0XJo6co3V9VZWjmxcm88aRM4JuHpw8R0f2skfO61J3T/UMdM/85Hy2OyOp+ubU90I1j3Zlnez3\n",
       "u7mnqm93Tli186ln5fm8V+lOnqPJeeRTaVZpTM7zujltcs5/6v9zVLqyT+o7KWveU435T03OHp/j\n",
       "DLs7j6/ymZzZZ/m7eRIAfi78IgkAAAAAAAAAAGstXyQBAAAAAAAAAOCRL5IAAAAAAAAAALDWWutF\n",
       "Fb/uv/23/7a5/v777zfXk3i4GUtuEjeui4dbxafr4jpm/NQj8XCrsmY++ZkjaWQc06qdu7iVWb8u\n",
       "LvFafZzLtfblz7iAk1iR6TliFub1JO5wXk/aqIsVWaWRZe9iCk/SncSo7MbE5PlNkzi1+bdJjNVT\n",
       "Y1928TarfI7EqMy+quJ4dmOvKuup8bqr+M9dDNnq+c25pXteqzS6sk/iwnfjuRoPXbzuqm/yb11/\n",
       "VnF4u2dxEs86P5P9Wc0bXbtO3p1duSaxXifvhWyju7u7zXXWfxLjPT8zma+6vsdNF+gAACAASURB\n",
       "VHl4eNilkc9nfubIWqF7RiqZz/X1dXtPjqOXL19urqv65hwAAPyn7kxhrbVubm4217me+vHHH9t0\n",
       "c50zWV9mPpO1Uqfb267Vr2Mma8NubVTl253nVOvYU/dl1V7oyJlQynXcmzdvNteTtf+Rs5n8TI6R\n",
       "qs1ybTjZl3XrycynWpNmG2R9q3bOduye16p/J2M+dWNi4kgak7OXT1X17Z69Ks3JvvNTVV0y3xwz\n",
       "1Vjs9tCTZzH7N68nz0A3fqs0ujPr6jynmydzPFd76K6+Vf9mffIz2R5VO1dt8KlqTHR9kW00OdPN\n",
       "sk/uObJX7569ak6v+uupfKs5Pt8lk7189xxN1grdHDA5B876T9q5O+Os2jTv6Z7f6sxvMuY7R+4B\n",
       "gL9FfpEEAAAAAAAAAIC1li+SAAAAAAAAAADwyBdJAAAAAAAAAABYa6119u233+4CumVsvYxJWsXn\n",
       "y7h4XQzSSSzBjA1Z5Zv5dHHyJrEFsy6TGJxpUt9s5yzrJHZv9++TWIJZlyom9KTdOl18xUk7d/dU\n",
       "MTlPbbPqb10s2yPxrKsxkfl08Y0nMXYn8Y67vsmyVvkeiRncxXbN+k9icR+J+f0c8VKP5HskBmk3\n",
       "Lx6Jkz6J09rdU80bp8YLzViwa631+vXrk8qx1r4/sz45t1Z91cX/rebnbt6fxDxPn2sspsk7K3XP\n",
       "zZGyH4lHnzKNm5ub3WeyL/I5msSj79YX1RjKsh1ZK3TzZPUcde/KLpYzAPySVO/jq6urzfX9/f3m\n",
       "unrvPzw8PJluvn8zj+ozabIWzrVE9+9r9ecsk3133pNrsmyf6p4jZT2yP+zqW60Nu73qZI/Z7dUn\n",
       "7Zxjrxt3VbqT/UK3d8n9YFXf7nyjkmvsbk1+5KziOc78qv1wjtfJGVi33+/OUNbat3PmOzln+Bz7\n",
       "g6qsXRtN0sh2nOy7u31mlqPaY1Vz2FPlWGvfzkf2v904qp75bIMse3emUOXzHGWdzLXd+c4k33xn\n",
       "T+ba7qy86v9Tz0gm7Tx5h3XriyNp5PidrDcy3VzXVG3WzT2TuTXzyXnzyNph8u48cl4FAH+L/CIJ\n",
       "AAAAAAAAAABrLV8kAQAAAAAAAADg0dmLFy92v8P1HD/VNflpvS7fVP3EYfcT73lP9ZNo+ROFGcqn\n",
       "0rXRJBRI95OkVbt3P1M6+fnU7qcjJ2EejoTTyHbOuhwJ89D9rOla+58wTEdCvXTjrrpnUtYu5Mak\n",
       "jbqfNJyE8uk8Vwihbm45ElInx9nd3d3unu7nYCc/U9v9jGlV364+k58TPfWnX6t7Uv4MZPf5tWbv\n",
       "haxvlnVSlyPvn1N/Qrjq3+6nfCfP0ZGfJD3y7jw1FFf1s+k5p3+OcFZHfvp20jdH5snup9WrZ6Ab\n",
       "N5P2OBLi7dQ0Jj+PeyQUGQD8UkzOHY6EDz31p+erv03W6Z1JaIzuJ+0nP3Hfrf0noSK6cDHVPd1a\n",
       "6UhfVfXNv01+wj91a8FJWbuxONmXTkJ/dmXN/pyEpp7su7t92ZEwF1n2Ko/nOAPr2mgSivpI2Icu\n",
       "HE71HHX3TOaASXijdGp4p8n+eHLO0KUzybcLuzSZ47r+nbyPutDUa/WhXXJ/XJ2jdY6EHcr6H3nH\n",
       "TebJI+186vndWqefRR0Jq3UkPPuknbsweJPzq+6MZBJCaPL+nfTfpybn75/rfBIAfg78IgkAAAAA\n",
       "AAAAAGstXyQBAAAAAAAAAOCRL5IAAAAAAAAAALDWWuvs/Px8F+CtiwVZxdLrYp3mv1exIjMGY8aw\n",
       "q/LtYshmOSaxfCdxaTPu3yT+bco26GJWrtW3Y8bo7OLJrrWP5Vvd08XZzetJjNmsbxXHs4qf+Kku\n",
       "zmVVtjSJd9ylWcWw7Np+Etu1i6c5eRa7Z7NKt4uHW5k8N+nUeaOqbxeD83OVvbtnEuu0m2snz8SR\n",
       "+qbJPbe3t5vrLh7wWqfHHa6emcn7p9O9F6rndxIPtsuni5uec2BVlsm46mK5TuaAnJ+7+PRrnf4e\n",
       "nMQ8PxIj+Tne+1084Em+afIenMQ4z8907/1JrOYk1i8Av2ST9daRNUq3p5qs0Y7o1pzVui51+5RK\n",
       "fqZbo1RteOq5wyTdrt2rz0z2g91ZRLZhrgMrk3Vdt9afrOuyjSbnKqeO58l+ePJcdfWZ7Be7c5Rq\n",
       "DZ73ZH9OztG6Z7oaE5lOluNIfY+cVXT74ck4mzxHqXtuJvPGkbJ2+VR16cZINdecOiZyTqjy7c60\n",
       "q7LkZ55jnpy8F7uyV06de9baP0ddG03GVfeOW2s/l2QaeU9V/yxLzjXVuUv3Xp+cb2UaXRuuta9v\n",
       "/r/ORLZR14Zr7duoe/aq9unSmDzzAPBL4RdJAAAAAAAAAABYa/kiCQAAAAAAAAAAj3yRBAAAAAAA\n",
       "AACAtdZaZ2dnZ7sAb128wUl8ui6W4CQ+3ZEYjV0szKrsk3iw6dQ4tDc3N7u/vXnzZnOdbVTFS834\n",
       "xln2jJVY1beLnVjFhsyYjF3s3qo9sj5HYkB3sSGrNLs4h5O4w904m8T1nMRIzvp0MYQn8VKvr683\n",
       "19X47mKbTuLwds9EFXc4y3IkvnPXN0f6d+I54v12c8+RmNiTmOfVuDk1jSPxQ7s48JMY0ZPnt7sn\n",
       "yzGZaydjJJ+1Ls1J/6Zqrun6M1XPYjenVfNGNy90saqrskziKnf5HomB3cUuXquPG97F2K3ymYzn\n",
       "1M2bR9ZXAPBL0r1/J2vhybs11zndWcXkHd7lUaWbaUzOdzKNXPdU9T11f1+ta7v6Vm2U6XRnJlUa\n",
       "uQ9P1To/12RZ9qpvUrcPn5yBpW6crdWvY6v9UZYl6z85e+vGSFXfbu/e7UHWOrbn6Pau3b9XZZ2U\n",
       "o3s+J89ZN0aOPPOTOe9zlD3HYrVP6+baSX278VvVt+vfqqxZn65dq3my2//lHFjp9vuTfemRc6PJ\n",
       "OUPq3j/VuOrKduTssZuv1+rPrFM113bn7VXfZBt1z8DkbCbLXpW1OwOZvBfSZG2UPse4mrwnAOCX\n",
       "wi+SAAAAAAAAAACw1vJFEgAAAAAAAAAAHvkiCQAAAAAAAAAAay1fJAEAAAAAAAAA4NHZxcXFx/zj\n",
       "+/fvN9cXFxdP/vtaa52fb7+T8uHDh8311dVVm0ZXjhcvXuw+8/HjtviZ78TZ2dmT15M0J210ar7Z\n",
       "plVZujbK9qn+lvlO+jev857Ly8tdGl1Z3717t7snZf2z7NUY6dKodM/AZNx1z8Skf7s0sv6Vagyk\n",
       "Lp2uv9faP+OZ79u3b9t8u7F4c3OzS+P+/n5znX1V9U33vE7GUd6T9a36Nz+T5cg2mqQxma+6cZRp\n",
       "Vs9vPp9dmpVujpuUfTKes10zjRwzVTtnWTPfI+XINCdz3pF5MuuT5Xh4eGjTyLJmGlVZujY7MudV\n",
       "us9047ty5L3fzZtVm3XPeHVPzjU512Z/VvXNcVTNxwDwSzXZU6XJGq1b6072LV2alec4I8n1Rq4d\n",
       "juwXuv3TWsfOSLJs3V6vSuPU9WV1z5E9Vn6ma8PqnjQZz91nqvp2a/sj6/pJ33RjIMtVnVV0fVHV\n",
       "tyvbkXO0I3usNGnn7hmo6nt9ff1kOSbzSLZzzpNH5q8j+/DMp2rTbv83OavINsu56Mg+dHL21o3f\n",
       "yfuoK1vWba39OUqWPd8bVT7dPvTIGXbl9vZ2c313d/dkmlV9sx0nY7F7r0/q0o3FakwcORtPz7F2\n",
       "6Oa8yTORJuP5yJx3ZA12pPwA8HPgF0kAAAAAAAAAAFhr+SIJAAAAAAAAAACPfJEEAAAAAAAAAIC1\n",
       "1lpnZ2dnbYC3SUy7LmbfkTitGdOviqXYxSaelD3j4k3i0nbl6OI+VmXLeJJH4nimquxVPMWn8qju\n",
       "mcQqThnHM9Os2qwbN5O4pdm/XWzfqmyTe1KW5TliFWe5qpi6R+I8pi4ubxXfuRtXlWzXI/Gss35H\n",
       "YoF2sU+rds58Hh4e2ntOfX4n8VInMVa7OW4yT3ZzXNXuXT6TOK7ZrvmZSYzSLh79xOcYi1Vfde+O\n",
       "yTxyan9Xf5vMG88RF72L1Vyl0b2jJ3NR10bVGOnGwGTuPRLTftLnXR6ZRjfHA8DPWbcmrXR7u8me\n",
       "MvdQk7VTty+tyt595kh9b29vN9dv3rzZ3dOtJyfr+G4fVt2T+XTtWqVxfX29ub6/v99cT9p50jep\n",
       "G0fVurZrk27cTe6p9jGnjsUj6/jJPUfO0dKRs4vMN/thco42qW/uB3NsZv2q+h7Z73Zz3GSfln1x\n",
       "d3f3ZJqVruzV89u1c9XfOcaPnM1046hqo1P3oVX/ZjvnmUn++1r9OcNkzHRnUVW+eU93tlz1Q/cO\n",
       "m9yTZc15sWrnbsxPzky6+boaV6eeo1Vl695Pk7OaLo0qnSP9282l1T1dfSfP0alzHgD8kvlFEgAA\n",
       "AAAAAAAA1lq+SAIAAAAAAAAAwCNfJAEAAAAAAAAAYK3liyQAAAAAAAAAADw6W2t9zD+en2+/X3Jx\n",
       "cbG5/vhxd8t6//79SWm8e/dul8bl5eXm+sOHD09er7XW2dnZk+lmmpWqPp/KulX3XF1dPVmObI8q\n",
       "3RcvXmyus25rrfX27dsny5EyzSrfTKPKNz+T/dnVpUo306zuyfpWY6CTbZ/Xk3F1JN+UbValmX/r\n",
       "ylr1Vf6te0aqfLo0Jybj6tT65nO21n6MZD7V89s9r1n2ah7p8q2ezRwDXVknaeQ9k77q5uMqjeyb\n",
       "Sf+m7M985qv6Zjt39a/K2j17Vb7d3Fr9e46TI3NtN44m75LUPd9Vvjkmjjx7XRtOylal0Y21TLN6\n",
       "tzw8PDyZ5mQ8d8/N5PnNz1R9mfd0qndLN7dO+goAfi669361Djiy5u7WBvnv1Zql2rv9uTKfXBet\n",
       "1bdJtT7J+nXX1TqwW19VbdTt1Sd76JRlvb6+3n3m7u5uc93tBapydmdg1Rqt21NNzi6y7Sfju9u7\n",
       "pyPPyKTs+Zluj13Jdp2cCXXlqM4M8jNH5pFs58l5R47XSd91ZyJH5snuHLH6zBGnjs3qnqxPd2a0\n",
       "Vn8OPhlX3TMwOZ9NVf1PPdN8rvF85NyoM6lL9846sh/ONsnzkInJmUE3RqpnvmvXyTyZn8l3XPX8\n",
       "duM130+T847Juqf7/4TJOUvXF85IAOA/+UUSAAAAAAAAAADWWr5IAgAAAAAAAADAI18kAQAAAAAA\n",
       "AABgrbXW2dnZWRv0bRLTcBIL8qk01+pj51UxGruYlBmz8Egs3+qeU+OlTmLrdXFqK138wSpmYxfv\n",
       "t4pHeGp9niPWa/W3rk2qWKBdzNGqLl28xVS1c95zJK5lF/+46qsuvuQk1mlnEus1y1G1Ucadzfjc\n",
       "XZzpKp8cA/f39+093TxyJI7rJGZwOnUeXWs2Jrp0nyPmeaXLJ/89x8Mkn8nzm7r+X6ufj6s2yjHe\n",
       "xWmtdO/ByTPQjbMqxnv1nDyVR5VPN84m8X9TNad37ZjzRs4ra/VtVo3F7N/MJ5+96r3RxZWudPHX\n",
       "J/lm2SexmQHgl+q51v7d+vnm5mZz3a3HKpO1Un5msufI9UWunao9Zbee6PZ6a/Vro8naP9OdrL+6\n",
       "feeR/u32Pmvt+6Lby1fpZBqT87vMZ7LXyzbp9jpH+qqS92Sb5N7m7u5ul0b1nJyqOyOo+qpTrduf\n",
       "Y4/V7WWrMdE9A5nP5ExoMtd08203n1VpHNnbdON30lcTWf4cN5O6dJ+p2ujUcTQ5E+rmnonJOUt3\n",
       "LjZ5Z3fz4uRMaDLHdXPr5Nw/yzapXzcPTubAnAPyDOHIWdRkDpicaaZTn/lJG07e2c5NAPil8osk\n",
       "AAAAAAAAAACstXyRBAAAAAAAAACAR75IAgAAAAAAAADAWmuts7Ozs12Aty5uaRVbLmPnFRltriex\n",
       "fDMeXRWTsovrOIlhmOlmmlV9u7i0XZzAadlSF5d1UvbU1WVStknZs50nMWW72JCTuJZdmhlLcq1+\n",
       "PE9izHaxPrs4n1W63Vhda9+OXZzL6jNdTOxJWSexqE8dz1UM5fxMV/+1+mdv0mZdbNtKF5d0Mp67\n",
       "mKvVmOjGXjfO1trHNJ/MLV3813z2qrjwR575U+PaT2Lbdu1e/a17jiYxoo/EYD0y16RJLNuufyfv\n",
       "wSPx2fNvXTzgajzc3NxsrrOvqnxPjV89iU09iQndvdeOxITOfI7EdAeAn4sj79LJmq1aU39qsnft\n",
       "3tlV2bv6dHuuSRqT+mb9uvVI9ZlMo1pfnbr2PbImrdrj1HXd5Lxjcp7T7c2zHN04nN7zOdaLR/Yt\n",
       "3VlM1WbPsafq1vpH2qcaz6fu3Sb1nZzHdmcvkzbMc5PuGanK1pV9sl+a7GW7c8HcU1a6/W51FjWZ\n",
       "w0812Yd25+uT/u326pO5NeU9V1dXbb5HzmO7cVaVsxu/1bjqzrgmz9Wp/8+x1unz1eR8dtJG3bw3\n",
       "WW9056+T9+CR+fc5/i/oyLsFAP4W+UUSAAAAAAAAAADWWr5IAgAAAAAAAADAI18kAQAAAAAAAABg\n",
       "reWLJAAAAAAAAAAAPDo7Pz//eOpNHz582Cd0dra5Pj9/+jsqFxcXbbofP3588t8rWY5Ulevdu3eb\n",
       "6xcvXjz571U6Wbb896xL9Zmu7NVnMt+uHGut9f79+8311dXV5vrt27dtObI+R8retWGVT9euVTun\n",
       "rG/Vv6kbe5P+zevJuMo2y+em6qvu2Zs8R12aVX2zrHld1ff6+npz/fDwsLm+ublp08h8cnxXsh0z\n",
       "3WyjHDNr7dt+UtZujkuTds7PXF5etmXtnsWq7NWc3cm5NPtmMo9074FqvHfzQtalyrcra6V79ib1\n",
       "zfplWavx3eWb/16l0c0tVVm7fCe6sZdjaK2+fyfrke6enIuqdCZjInX9OSlrmsyB3Tv6SF0A4Odi\n",
       "spft1g6TNLp1bLXezjXZ5J4sa66vcm9TrR26+lb5ZjrdXqCSnzmybs992d3d3ea62i91ZZucq6TJ\n",
       "WUU3jqq9e7ZJt8ecnL1N9lhZtmzHyV43P9PtbStdWSfnHV0bTtKZzAH5DGT9Jmdv+bxmuapx2J1p\n",
       "TvahR/omTfayWdburOY5nsW1+jkt06zGQz4Dk/489Sz5yFlrVd/ubDXLUc2T3dnM5Ez3Ofalk890\n",
       "z0D29+RMdzLHdfdM5o1Jn6dTz3mr/u2etcn/BZ165rlW/8xXZ0LpyDl31zcV5yYA/FL5RRIAAAAA\n",
       "AAAAANZavkgCAAAAAAAAAMAjXyQBAAAAAAAAAGCttdaLI/EHq5iUXazEjDVXxY7MGH0PDw9PpvGn\n",
       "yvLUv2esveozmU8Vj6+L/3skLmDmW8X57GJwTuIQd/EHJzEau3i/Vb9MYrmmrn+PxPLNNqvqO4ln\n",
       "fEo519rXN2PdrtX3Rf77JO7w9fX15vr+/r4taxdPtHomMt8uFvda+/Hcxamt4nhmulm2qn+/+uqr\n",
       "zXWOiZx7/vVf/3WXRrZ9luPNmze7e7qY5pN5o2ujLHt1Tzoyx+e4quqb+WYbvX79enNdjasupm5V\n",
       "1uzPHDeZT/U+OjWWb/WZLmZwNZ5TzhtH5udM40h89ko3T05iNXf5VO/sHEfZfzkmqmeie2dPYkJ3\n",
       "7VzFo+/aebJWODKni+ULAP+pW09W7838zGSN1p2JTNb+3d6mWivlOibXJEfOJrL+WfZJ2aq10amq\n",
       "fLM+3dposvafrNM7kzSrsnS69eTkDKw786rOarozv1xzV/3djb1qP5htdGQcdec1Vbm6fLKs1Z6j\n",
       "myeO1GVyVnVzc7O5zmeiKmtnMk8eOSPJNsrxOpl7unOVyd42y5H5VmOo21NO5qtufp6cvU32+5P+\n",
       "O+Xfq3wn57Hdvruar7o2qdoox/zkHKmTZc/nrMq3y2dyZj85m8qydXP6JN+ce6sz3ZxLunFWtUfV\n",
       "55+qnqPUzRNH3kfOUADgP/lFEgAAAAAAAAAA1lq+SAIAAAAAAAAAwCNfJAEAAAAAAAAAYK3liyQA\n",
       "AAAAAAAAADw6W2t9zD9eXFxsrj98+PDkv6+11vv377cJn51trj9+/Pjkv1d/y3wrec+RNM7P//zv\n",
       "03T5XF1d7f728PCwuc52zTZda1/WFy9ebK6znd+9e7dLI/PJz1TtkenmZzKNLNda+zbKvqrGVaab\n",
       "5Zi0Waeqb1e/lOVaa63Ly8vN9eQ5Sm/fvn2yXJM2S5NnrxqvT5VrrX0b/PrXv95cf/fdd0+muda+\n",
       "jbK+t7e3u3uynX/44YfN9W9+85vdPV9++eXm+vr6enP9/fffb66r/v3DH/7wZJr39/e7e77++usn\n",
       "88l2reaVbIPMp7qn6vNPdXN+9be8p8oj+ybLmv07ma9zbqnaOcdvtms3j1S6d1xVtu6eau7JNN68\n",
       "edPe07XjpL7d3FnVN9PNsme753hYq3//VGMiP9PVr5sT15r1Taab7/CunGsdew/mPd2zWM1X1d+e\n",
       "ShMAfs4m7/105F2Z6eZ1d2ay1mwd0+V75Iwk12253qj2g92eIteb1fozy5r7tGr91e0hu7OMiapv\n",
       "uj3WEZnPZG/XnQlN2vnIGjzz7dasa+3Hc46zqqzdWndyBpT7w9xDVn3ZPUdZ/+pZ7dq1Gos55l+9\n",
       "erW5nuzdu736pG+6fKozv2785nnIWvszke75rfqqK9uR/VG3t19rP35zfqr6N8t/artX6U7aKOfs\n",
       "bh/atU9l8m65ubnZXOd5x+S8sns2K93ZzOSMJK+rezLdI2dCz1HW7p09mfMmZ9jdnDZZw5y6VqrS\n",
       "7f5vqNKVvRrPR54LAPg58IskAAAAAAAAAACstXyRBAAAAAAAAACAR75IAgAAAAAAAADAWmutF5P4\n",
       "g5PYvRnHs4qZ+1Saa+3jz01i3OU9t7e3m+uMt1jF9Otiu1a6+K9d3Mu1jsV1TF0M0kmbHYkRnCYx\n",
       "V7vYxJPYiRmDdBILNE3KWo2Tp/59MmYmsXtTFyO6es6yTTIecOXly5eb69/85jeb63/+53/eXFd1\n",
       "+eabbzbX2Vf/5b/8l909P/744+Y62zVjF2c81bX2cXaz/n/4wx/afDOW7W9/+9vN9Q8//LBLI9v1\n",
       "j3/845PlWGutL7/8cnPdPXtVGtn2mWbVN12M1RxX1XjO/v3d7363uf77v//73T05PrMcOc6qvvqH\n",
       "f/iHzfX//t//+8k01+rniRxn1bjKe/JdUrVR1rcrRzXndXP4JM7ykViv3Wcma4XsixxX+TxXaWQb\n",
       "ZRpVPtmOeX0kpv3kHZbjKMs1ebdMypq6vprEAD+y3gCAn4t8L3Zr5crkjCTT7d7H1R70yDu7q0+u\n",
       "Jar1ZaaR+6XJ+irTyOtcK1dynVO1UZY/88l7Jn012e93ZwaTc5duzV3lkfd068lJGln/PCOrPpN7\n",
       "n8n+IdOdrIW7tW+mWeWb+5Avvvhic/369evdPd0zPpk3ujO/aj+Y+86vvvpqc/3q1avdPSnv+f77\n",
       "7zfXVTvnODlyFpV9k2dAeWZSyfON//iP/3iynGv156LVfj/7PMdRznnVvrQ7965M9uafqsp+d3e3\n",
       "uZ6caWe75XnWZC/b7VWPvEuyXHmmv9a+r47Mrd2/T+bJyXu/e89PzqNPTbNKJ+/J922Vb3eeM3nm\n",
       "u3fYpL6T/xvIPs/6dteTNACA/+QXSQAAAAAAAAAAWGv5IgkAAAAAAAAAAI98kQQAAAAAAAAAgLXW\n",
       "WmdnZ2dtELhJTLuMJXck9mkXu3YSr67Lt5L5ZlzAjB251j424HPEPezip1bpnNruk7JV8SW7mIxd\n",
       "udbqY65O+re7p2qzIzGvu3S7eJNrHYu32MWg/O1vf7u5rmL5/vDDD5vrHAMvX77c3ZN/+81vfrO5\n",
       "zpjCf/jDH3ZpZCzfrH/GIa7Kmo7EIP32228311Uc3l/96ldP5ptj5u/+7u92n/nd73735GeqGKv/\n",
       "/u//vrnO/st8q3i4GWf497///e4znWyjf/7nf34yj7XW+l//639trv/P//k/m+uMXbzWPr5t1u9/\n",
       "/s//ubmu4j3nM5BjpurfLj57zldVHN7823fffbe5rt4L+Zyk7M9J/O5u3lxrX58sW6Z5JN5xNZ6z\n",
       "XVO+j6qYutX75lNVWbMNcv7t4pdXn5k4NZ51VbduvTGJ3Ztzerf+mJisUQDg5+rI/rA7u6jSfY49\n",
       "dN4zeYdnvrlGq+S6Lddb3TqwyifTrMqR6XZrxUqulTKfquzdGJicMxwpa3eeM1nHHln7dWcV1bjK\n",
       "PUZ3xjcZm5P65tir9hSfqvbQeU9+5uHhYXdP9/xO6pv1+frrrzfX1f4xy5L5ZN9Vz9FkP9Tdk/XN\n",
       "s6o8/1lrf+aT91Rl/fHHHzfXOc5y/1+N91P3/38qnadU51l5fjEZV/mZu7u7zfVkXunOjqv6nrrv\n",
       "nrTZZC7KdPJ5znmkOndIeU9Vt8wn+2Kyh86+ODI/d/dU+Z56/l595sj/FWTbT860u7kl06g+n2Wb\n",
       "zF9Z326tVM09+ZnJuHJuAsAvlV8kAQAAAAAAAABgreWLJAAAAAAAAAAAPPJFEgAAAAAAAAAA1lq+\n",
       "SAIAAAAAAAAAwKOzi4uLj/nHjx+3f/rw4UOb0NXV1eb67du324zOzp68rvLJclT3pLzniK4uVT6X\n",
       "l5dP/vv5+f47O+/evdtcZ/3ev3+/u6drg8xn0neZZtalSqdLd5JvlrWq78XFxUn35OfX2rfz9fX1\n",
       "5roaM1n+TCPvqfLNNH71q19trl+8eLG7582bN5vrr776anP93Xffba6zLmutdXt7+2RZ898n92T9\n",
       "X79+vUvj97///e5vn/rtb3+7+1u2W9b31atXm+tvvvlml0Z+JsfI//gf/2N3zz/90z9trn/44YfN\n",
       "9Zdffrm5/u///b/v0ri/v99c/8u//Mvm+r/+1/+6u+cf//EfN9dVX3zq5cuXu7/d3d1trnO+yvZY\n",
       "a99f33777eY6+/f777/fpdHNPdVYzOcz6/Mf//Efm+ts97X6MZFprLXWzc3N5jrHRI67ajxnfbON\n",
       "JnNc9e74VDX35Pyb+WZ/T/LJslZzfPZVtlmVR7Zjl0bVZjkPdmlUur6q6tutFSbv37yerJ2656j6\n",
       "966sz7G+AoBfsu6dvla/JnmO936Vb663nuOcIcta7Uu79WPuhap0cj2VFDM4fQAAIABJREFU/161\n",
       "2ZGzqG793LXhRHXPpC+6NCZnIinbsVsLPjw87NKozi9O+fe1+jOiI2026ZtqP/Spqg2P9E22W7en\n",
       "rJ73LEt+ZtLOuQ+b7I+6slV7u9yL5z4706zSyP1+fmZy5pdyXFWfz7O2PFer+rc6A3gqnyrfHCN5\n",
       "vpPlqHT9WeXbPSfVM5Jtn30zOePszl+r+Trrl9fZhtW50mQMpDw3y3Ol7JvJu6Yr11r791E3p0/O\n",
       "o48885luNxdVurVDlU/2X64VqnzznZbv8InubKpq525NMnmHAcAvhV8kAQAAAAAAAABgreWLJAAA\n",
       "AAAAAAAAPPJFEgAAAAAAAAAA1lprnZ2dne0CvHWxbav4fF2cuPz3Ki5eFwdwEpPySHzJ1MXUnXzm\n",
       "SHzFSbzULt5xtnPGZ1xr32b5maovT43rOBkjk/7Ne7pxVtU3y55tOIlFnf2Z7Z6xYKt8MgZpNUby\n",
       "2fv6668317/+9a8317/73e92aWQ+Wba/+7u/292TcSv/8Ic/bK4zxuof//jHXRrffPPN5jrrV92T\n",
       "Zcsx8erVq8111Vdd3M4qPmz33GQ/ZN3W2j9HGUP47//+73f3ZP0yhu7//b//d3Od/b3Wvuzffffd\n",
       "k3mstY93/O233z6Z5g8//LBLI9sky55xidfaj8Uvvvhic53PazVG/vEf/3Fz/f3332+uq/ipGZc1\n",
       "65f3ZPzctfp31s3Nze6ebuxV7ZqyjTJ2b/XuzP7NsZn1q8ZI5vvjjz+2Zc36dXGXKzmuUtW/3buy\n",
       "6+/KJCZ0917PNKq5J9tkEnf41PpO4sIfiTsMAL9k+S7t9hOTz0zWDvle7/al1Wc61bon853Ut/Mc\n",
       "bTY5z0ldXf5UWbp7sp27slX7h9zvpmrd3q0fuzOxSq7JJ+v4zCfbeXIWlWlUe4Nct+ZnJuc7VVk+\n",
       "Va2fu+eomxOqdHMMVPvQHEdZ9mzDqr7dPFGVNfPNsk+e+e5cZbJPyb189m/Wf639uVnuZav6dnus\n",
       "Kp+UfTOZEybpfirPXdban9915Vhrf17z//7f/9tcd2coa+3PJib55t/yGZic6WfZcn6q2jTfp5lG\n",
       "PnvVnJf9N/m/ghzjR84q8p7JeXum053VTObJydya8pnPvpmcs2T9qny787rJWumII2sfAPg58Isk\n",
       "AAAAAAAAAACstXyRBAAAAAAAAACAR75IAgAAAAAAAADAWssXSQAAAAAAAAAAeHR2fn7+8dSbLi4u\n",
       "dn979+7d5vrjx22yV1dXm+v379+3+WQaeb3WWi9evNhcn52dba4/fPjQ5nt5efnkZ6p8z8+338HJ\n",
       "fI7Isud1Jdv95uZmc/3w8LC7J8ue9c02Xatug0917V7lm2nmv1fp5PXt7e3muqpvjtfs72zDKp3M\n",
       "5+7urk3j+vp6c51988MPP+zu+frrrzfXb9682VxXz17qnsWqnbsxn/lWYzP75quvvtpc39/f7+7J\n",
       "ds40Mt+q7FmWvCf7aq39GM98v/zyyzaNbLNMoyrrb37zm811jsV///d/31znGKrSffXqVVvWTCfH\n",
       "SLZZ9fx2z141Nt++fbu5zvH8q1/9anP9xRdf7NLIdv7222831999993unn/9139t0/3UN998s/vb\n",
       "v/zLvzxZjqp/T31uqnmjSyPbdK21Xr58+eRnqrKm7Jvs32pMZD7de6AaI/mZI+/97v1b5Zv9OXnf\n",
       "dvnk81yVPfu8ey+uta9vzpuTsqfJOxsAfikm79J8Z+d1tUbr8sm1Q5VGtzas3uHd/jfXQdUZSbf+\n",
       "mKxZujaarFEnZyRZlm7NPVmTTs57Mt+u/pOzmcynqm/mU+0pnkpzojoT6s6e8t+rNFKOiclZVNef\n",
       "XXtU+UzaKPPJ5yafs7X29ct78px0rdPX+lUaeU+2YfbdWmv9+OOPT+aTaVbzxpHxnH/rzisnZZs8\n",
       "v9246c5Aq3zz3KU6A+tM3gvdHFDVN+/J6+45W6s/36jmuG7s5T15trHWWq9fv95c55ifnANnOSbn\n",
       "O2ly5jc5z/jUZP3RzT1VWSbjN3Xv0mqO69YT2WbV3JP3TNYKmW5Vtqc+X5mckZzavwDwc+EXSQAA\n",
       "AAAAAAAAWGv5IgkAAAAAAAAAAI98kQQAAAAAAAAAgLXWWmfn5+e7gG5dXLxJHMBdRpFGFfs040dO\n",
       "4v928TPz36t8M55iF1uvKkvXZlXcw4z718UxnZjEy+3apLrnSGzmTt5ze3u7+0z2zVdffbW5/uMf\n",
       "/7i5rsZmxmDMcVaNiS72ZbZHFfs043Yeie2aMVazb6px1cVirvqqiwWZbVTFae2e8ar+Wb+MfXok\n",
       "bnaOoyrWb5Yt08j6ZTkr2TdVfXP85rjJfL/88ss237u7uyfLsVYfy3YSIzrbIPOdxGlNk/Gcf8u6\n",
       "VDFWs2z5vGbc3SqNzOf3v//95rqKRZ39l2Oxe67W2o/XSYzoLMs333yzuf63f/u3zfXXX3/d5pv1\n",
       "r575fFd28cgn77TJu6V732R7VGV/jtjbWZ9JHPiuHFUbZX2PvG87YvsC8EtWrUFP/Uz1790eKt+/\n",
       "R/Y+lVzXdOvpST65zpvsobt/n+xlu3OXKp28zvaoyt6dI03W4N15VlXfrE/WtzqbynHU7eWqc5Y3\n",
       "b960ZUu5H8w0sr6TfWle59nFWvs2yLLmPbnXW2u/P5ycGXT7kvz3aoxkPpOzqGrv8tQ9R/Zp1RzQ\n",
       "nRFkPtV81ZW9en7zOeqe+cl5bda3yrd79ibt3J0rVc9Vt+/M+lX5du+O6qwi26QbE9V83r07Jvvu\n",
       "1J1FVp+ZnFWcekY/ebdM3tnduJrs//Nv3TNSlbV7XifrjSzH5D3YrXOqMdTNpZM26v7fqir7kf+D\n",
       "cW4CwC+VXyQBAAAAAAAAAGCt5YskAAAAAAAAAAA88kUSAAAAAAAAAADWWmudnZ2d7QK8dbHm/kRC\n",
       "m+uMRzeJD1vFUP1UFT80Y4ymSdzSLhZoVa4u3l7XHmv1MYK7GMNr7ePUdvE2q7JkG1Zl7fov26hK\n",
       "I8ua+Vb1zZiyGf82y1HFS814uFm2m5ub9p4u3uQkznQ3Rtbalz/rm/lU8RkzJvCrV6+e/Pe19n2R\n",
       "6Wb/VnGWU7Zh1TddHOUunmj1mVTNG12sz8ynmgO68Vz54osvNtcZVzrji2YbVrKsVX27+kye30w3\n",
       "x+aXX365uyfTzfr++te/fvLfqzQmsdW7OKxHxlXWv3oGcgzkuJrE4u5U4z2frRxn2YZVvtkX3333\n",
       "3ea6Glc5d2a6k3daF5u3uifLMplbu3S72PITR2Imp+pd0pXlyHgW2xcA/lO+O6v3ZK63JvvufP92\n",
       "+4cq31wbdOcQa/XnGZPznsm6JnVrsEyzqm9X9twvrbXfm2e7Z99Ve7tubVT9e5Yl90fV+jl15ypV\n",
       "m+bf8vpIO2f/VvnmWMu9QO5ds1+qe7LNqv7NdLszvmo93ZW9Kmu3R869XbV37/qqaucsf6abbVT1\n",
       "b3duNjkj6c4Qcj5baz+nTc6BsyzZF5nvkf1S1UbdmM80v/76610a3bnh5Cy5mzcme+jMpzp7y/7q\n",
       "9u7VnJ/pZv2rs9Ws35Fz4c5k/9+N70m+kzbqzqJyfE/e+/mZqn+7NclkzZImbdSVbfL8ZtnyGaja\n",
       "qDvD7cpZ3dOdEwPAL5lfJAEAAAAAAAAAYK3liyQAAAAAAADA/2fv3nobR7KsDW/5LMt2ZXZNYTAX\n",
       "8/9/2Nz0oFHVlbYl+ezv4jPQ5orVXFtE9gCd+T53VJJxYjAYESlrAwDwgS+SAAAAAAAAAAAAAAAA\n",
       "oKr4IgkAAAAAAAAAAAAAAAA+rE5PT9/TSWdnZ5Pj5+fn4Zy3t7fJ8evr62yaFxcXw2dPT0+z+TqP\n",
       "j4+z5VDHx8fxMy3HycnJwdesVquD89W6uGteXl4mx6enp5Njrb+Ww52jx+v1erhG09E+oMeu7Jqu\n",
       "1ncJbQ/XZ66uribH+/1+cnx5eTlc8/vvv8/m27m/SvuRlr1qvBdaHy3r/f39kMZms5kc73a7ybF7\n",
       "fjUfLZtec319PaRxd3c3Odb6Hh2N31vT50bHhff36fDUGXu0LpqHy0fP0XyXcM+ePq/ab7Qurhza\n",
       "rp0xUPPV8TmVo2qsjx67dnb3/DOtnztfxw3Nx71rNB3tN+fn55Pjh4eHIQ1tMz129VXajtrObgzQ\n",
       "smv93HiV7s12u50cu3ea3otOvtr3NF+ti8s3vTvTXMKd0xmP01zB9cWUj17j8tB21jTcM5+ek/RO\n",
       "7/geYx4AAP+udP7h3ovpve/mLOkd3llT6lwpza/dOZquzo07ewadtazmq/XvrHXSvNbNc3T9p/dC\n",
       "8+nMe7S+nXndoWufqrF+2q6uT2j90p6Qy1fP0fVRZy9Kj9O9c/l2+nPqi6rzLGqbuX2GtHbTdapb\n",
       "Uyote+f+pv7r0tD66DVu3yytKTrPYuoDnbV7ql9nX0nz1f5dNd5PLduSvtppI00n1d+NtWl/xz17\n",
       "eo72X90ndX3EpTuXxz/7bC4fd34a01xZ9RlI/6/ReRY7c4VU1jReu3zS/f5nn/1fSHs++mx29irS\n",
       "M+HOSeOm67tpLrDkGgAAflT8IgkAAAAAAAAAAAAAAACqii+SAAAAAAAAAAAAAAAA4ANfJAEAAAAA\n",
       "AAAAAAAAAEBVVa1OT0+HAG8aG7ATl7cTk/Gz6+vr4bNv377NlmOJFNezaoyV+Pj4ODl2MVg13RQ/\n",
       "dUm8xU5M2RRf0N2r1CaurOl+an07+Sp3zaGxbF1sTK3PdruN16R4ztoeLg2NMdqJoZziZmufcX0z\n",
       "3Qt3L1Oc4c4zofdGYwS7+qaY0JpmZ+zRPuHKmuLuarlcvGONs6v5dmLoqhS3tmocj7V+LjZqek5S\n",
       "POCqsb4pBqk7J8WldX0z9St3jX6m96ITl9XFUf7MxdHW+l5dXU2O7+/vJ8ed90KKOVs1PjepnTvP\n",
       "oubjxri///3vMd3PXB/R+6t1cXMF7QN6PzvvoxR315U1xdlN8a5dWTvP3r9CJ74zAAA/qvQOd9I7\n",
       "2s1JD52DurmhzuN07uTm/jqPS3Olzhw8lcPlo9LatirPtzpr2TQXdPl+j70KPUfXcrvdbkgj7bO4\n",
       "fNN6V+vi0tC5ve5dOOleaD56H9w1ad1SNdZH11i6v9NZc2iarj/rHog+n529Rl1Tapu4sqZ5eudZ\n",
       "1Gs6+7Van7Rn4J4j7QNpr9VZsqbUsui96uzpuv76mdsfSPsZbly5uLiYHGubdMbJNG5sNpvhs7u7\n",
       "u8lxGjfc+yjtRy8Zn5Ure9on1H2Wqjwe6f10ZU993l2T/j9lyf57arOq/D7SNnNlT3u4nfeg9om0\n",
       "p1+V5ySdcTL1RZdGZy9VsW8CAPhZ8YskAAAAAAAAAAAAAAAAqKqq1Wq1Gr5Omf5C2H0LNX2DtPOt\n",
       "2/St+c63X9MvgzhL6pu+qdr5K6f0LePON2bTX5t0/qo61d/lm8rqvmWs39bXsrtv+Ke/1tZr9Nve\n",
       "Lo3Ly8vZNKsO/ya2a2f9CyRtM/fXNukvsDp/Na9/9aHPhPsrEL1fmm6nb2q7pjQ66Wr9O38plP7a\n",
       "yKWb/pKkM/Yo91cv6a8i9N51/kpA6+vy1TZK+brn6NBv/DvpV1xcm2r/7fwSyqF/xdT59avOXx7o\n",
       "OfrXRp1fU0njlft1nPRXL/rvbqzVPqJ9ovMMpDHO5atl7fxyU3rvadk7bZb+cqbq8L9Y6fxaTuev\n",
       "Xg7VeRb/r375BACAfwedX71I57i1TvpFEp2PdP7qtvMX/p1fpPysMx/p/HVvmi+neb07pzNnSWvI\n",
       "zrrl0F+ec2VVnV8FTL+W0tlXSfXt/OKOnuP2KvSXAtKvS7hnYsl6MO3FpF8acOlqvvorJ1Xjr7R0\n",
       "9hZV+tVH17+X/OqDSutd92uTaa2afl3F5avnuF9cTfemsz7sjKVKy6Zrd73/nV+dSve7Ku9zp18o\n",
       "cdd06pvG3864kd6DrqyH3s/Onl/nV1s1X72/Wl+3B7bkl7m0X2k+ur/T2cPu9KtD9zg77/A0Xrt0\n",
       "0zus807v/Jpbeo469V2yJ8IvkgAAflb8IgkAAAAAAAAAAAAAAACqii+SAAAAAAAAAAAAAAAA4ANf\n",
       "JAEAAAAAAAAAAAAAAEBV8UUSAAAAAAAAAAAAAAAAfFitVqt38+Hk+Pj4eHL88vLiEpocn56ezl7z\n",
       "/j5kO6Shx6+vr8M1Jycnk+O3t7fhnPTvmo+W7fz8fLjm8fFxthyurIdyZT06mv/uz3q9nhzvdruY\n",
       "Rqed9Ryt7/Pz8+TY3d+zs7PJsdbPXZP6nqah5XRp6HGnX2mbabteXV0NaWy328mxPhNPT0/DNRcX\n",
       "F5Nj7WeufkrP0TZyfUg/0zbppJGegc6zp2loG7lnUc9J/dt9pmV1fTGlobSfVfmxc45rZ21H7TMP\n",
       "Dw/DNdr30jipaVaNZe/0zUPz0XGkarzner+1blW+DT7rPEdadr2fnfqm8cv1EaX1d2N6kt6tVWPZ\n",
       "N5vN5NiNk3ov0v129L3gxkWlz4Ued56z9C7t0HFC03T3t1O/RPNZMl7pNUvuHQAAP4r0nqzKax33\n",
       "3tdzUhou37S2cfM6nVPrnFvnI511uObj5lupfp121s/02M39Nd+0V+PKru2s+bh1Sqqf6sz903rC\n",
       "nZPmtS6NtF5y90bbROvfWdupJfuEWp/OnpBK+1muLLpuSc9ZVdV+v59Nw9H6aDunvdaqvCfk5v7p\n",
       "me/095SvtntVfsa1nV1/1zZI+2ounbQ/6eqb9o5dO+v4u2Tc0Hy1Xd1zlMZ9d29Svp334PdYh+q9\n",
       "0rK650qfvfQMuDS0zTRfd+/SuNjZE0pjgNub0b6nz03n/avppn0Xd03nuUk643N6H3Xqyx4IAAB9\n",
       "/CIJAAAAAAAAAAAAAAAAqoovkgAAAAAAAAAAAAAAAOADXyQBAAAAAAAAAAAAAABAVVWtqmoIFJfi\n",
       "8LrYiSlupcYB7MSX7MT+1Hw0LqDGRXQx/VKMxk6syBT/2MXe+x7x+Dpx/5TGYExlr8pxHDuxMbXt\n",
       "tc90YjOnfDrxUvWcTszRlKaj9+b6+npy7OK06jXaf798+TI5drGNUzu7eJp6TYpr6eL/an/WNur0\n",
       "9/V6PTnW+v/yyy8x391uNznWuKZVY/m1HVN80ao8xjkpnnPn+b28vJwcaxt1YqunMd7RNujEd07x\n",
       "fzvlSM+vk+Kgd+5dipnciWWrOu/SFCfc5auf6b3qvNM0X33/dp7fJfdKn7VO7O30XtCxtROruRM3\n",
       "PPWr9HxXjfXVsnae31T/Tmz5JeMXAAA/Czf/+B5zw7Sv4N7H+l7v7DPo3CCtBTpzYc3XrSndZ5+5\n",
       "NlJan7ROXcKVY8megdZXy67z6dQ+Tqe+eo6u0zp7JJ180lxY16n39/dDGmn/yq0xNZ/Uv52059dZ\n",
       "L6QxwD1HS/bN9LMle35ats46VPcV0l6bG3uWPJ/pOemsQ9M44dJI/aazH63pav/t7G+k94TLV8um\n",
       "+bg9ML1Gz9Gyu/EqrRmX7CV39ju0jTpjaapPZy8q9SPXHmnc0D1P3b+syn2g838yaU9X9yWqxn3R\n",
       "zjssnbPk/4I6731NJ421bgzQPpL+X8ul8z3mJAAA/DvgF0kAAAAAAAAAAAAAAABQVXyRBAAAAAAA\n",
       "AAAAAAAAAB/4IgkAAAAAAAAAAAAAAACqqmq1Wq1iQLdOTM5DY9d2YtylGLPuHI0V+Pj4ODl2cQBT\n",
       "7LxOjGSNpadldfXVfDpxWrWsrk3mzq/KsZld7MAUo1GPXWxbbSNN09VXr7m5uZkc393dTY5dO2sM\n",
       "Su0Dt7e3wzUXFxezZdV+pedXjbEu9V64fqVxSjXOsOa72WyGNLQs2oaaRtXY9toHNF6u6yN6bzqx\n",
       "t7fb7Ww5tB914odqH9A2dOmk8eqXX34ZPtNrNJ6otruTngGXhrb99fX15Ni1c4pLq/fKtbO2o57T\n",
       "iV2s/VXbrPNuSeOmo+OktmtnjNdzOrHkO8+AcmX5zLWR3k8dA1Ks26rxGVcuPmyKS9upf3r2OvGs\n",
       "09jq3nlpvuHqq+NzisPb6Ved+N1a/tQXO/kueY4AAPhR6Lsyzb+q8rvSrWX1PZ/mH515Xqesab6R\n",
       "1gaubKlc7hqdG3XW/7pW7exFpb2KTptpGp15Xeec9O+p7G5OqusynetrudyekJYlrZeqxrV5ut9O\n",
       "mvu7+qY1RVobVI3102O3Fkrz584eaNqr6LSZpqH3ptNmmq9bH2m6WjZ9Xt3eqq6XlKuvGwc+07q4\n",
       "PNKY7vJIa3NNY0nf7KSrfbGzh63naP067yNtx05/Tm3i9t50zza9B93eaupX7t4knffCoWN81bj/\n",
       "nMbnzrih1yzpE537m/YmXP3TPEb7d2fM03zcNWm/TqV3jzvH9avOvA0AgB8Rv0gCAAAAAAAAAAAA\n",
       "AACAquKLJAAAAAAAAAAAAAAAAPjAF0kAAAAAAAAAAAAAAABQVXyRBAAAAAAAAAAAAAAAAB9WVfWu\n",
       "Hx4dTb9fslqtJsevr69DQsfHx7PnnJycTI7f34ds6+3tbb60hqajZdW6uDz0HD1+eXkZrkn5aP31\n",
       "/CrfBp+dnp7Gz/b7/eRY66f3xeWr5zw/Pw/XpPun+br6bjabybG26/X19XCNtuv9/f3s8eXl5ZCG\n",
       "1if1GZevlvXs7Gxy/PT0NKSRngGXr5Zf66f3SsvZyXe9Xg/XaPlTnzg/Px/S0D6gfXPJc6T5pGem\n",
       "arw3Dw8P8Rqtn5bLjRvajtruLl+9FxcXF7P5uPurZX18fJwca/1duloOvf+//vrrkMZut5sca31d\n",
       "v/rzzz8PKocbr7TfaL6uvmn87fSR9N5zZVXpveDur6abns1OPvrecONVevbcM6B9MfXfzntQ6+fu\n",
       "r46LmkZ6p1eN/Ur7Ymc+ovm6sipte20TN8Zpm6T3b0dnLAUA4Geh72M3Z+msd1VaQ6f5iLsmlcuV\n",
       "TecSnT2DtD7qzCXSHO1fNR9J88vOnHTJ/Erz0fvp9tF0/qhrO0ev0X6k883Oekm5+uuaQttR83X3\n",
       "V8vS2TfTdtQ20jV1Zz6tabh8O2u3uXJUjWvo9Ey4cw7de6wa71VnLZv2zTrr31R2V1bdJ9R+lPYu\n",
       "qsY20bq4fcK0r5D24qry+rdzf7U+6Tlz13TGGs1X1/tp38WVTdvZjTXpXaJt1HkPdvbA9Jo01rh7\n",
       "pfe38+5MfV7HCbf/nsYrJ+0tajncGJ/2N1xZD/3/I5dvmqM4aZ6j/XnJPou7hn0UAMDPil8kAQAA\n",
       "AAAAAAAAAAAAQFXxRRIAAAAAAAAAAAAAAAB84IskAAAAAAAAAAAAAAAAqKqq1Wq1GgK8LYnBmWIy\n",
       "duJrahy87xF3txNPM5XdxWhMZdVrND6fu6YTM1jPSXGVOzGTU1zPqvF+aWxMLcdvv/02pHF7ezub\n",
       "prs32+12cpxiUbs209ifKcZu1VgfjduqfeTh4WFII8XEdnE8tU00LuuXL18mx9++fYv5duLhasxY\n",
       "PUfrt9/vY77ar1xcWm0D7QPr9Trmm/qI3n+XTyprp490YqurFGe5Ew+300Z6Pw99nt052kbu2fv9\n",
       "999ny9qJuarPnraJe/aU9hGtv8tXy6ppuHunbaL9StPQNq3Kz6vrE3q/UoxZ9yzqWNPpv1r+FGu8\n",
       "825Z8t5PsYpdXVI+7t2ZYm+n8axTNvfspXFCubppPp34vwAA/KjSHOV7vUv1Gp0H6LzPzQ11bpDm\n",
       "Pa4sae/CzZW0LGnvomqsjx535oZ6zsXFxeR4t9sN1xzK7WelOZq7v6l+19fXk2M3z9PPNB9XVr2f\n",
       "2kZuDqr0/uq9cOvfROvv+nMqW2efUI81X7fPovVx+Shte01X03DrcG1XPXZrDnfP5/J1aWjb67Er\n",
       "q1qyX6llSXtTVXlcTPuXLo20b1qV90DSWteVTdfZnfFK89E1Zmd81rK5PTBtt7Tv7e5V2td312j5\n",
       "U77uXqX76/Zz9F7oOZ396FQ/938Fmk/aF3bvQW0DHXs6z55ast7XcnT6ld5vbY8lcyV3TRrDXZ9I\n",
       "+arUpgAA/Ez4RRIAAAAAAAAAAAAAAABUFV8kAQAAAAAAAAAAAAAAwAe+SAIAAAAAAAAAAAAAAICq\n",
       "4oskAAAAAAAAAAAAAAAA+LBarVbv6aT39+kpq9VqOOfoaPqdFL3m7e1tcnx8fDykcXZ2Njl+fX2d\n",
       "HD8/Pw/XnJyczJ6j+biybzabyfF+v4/5dtok0Ws6aaZ8lpRD89U2rar65ZdfJsfaRrvdbnJ8c3Mz\n",
       "pKH3U/vE09PTcI3eP70X2u9eXl6GNJTWr3ON0ny1Li4fbWfn4uJicqztrGlq362q+vvf/z451jZ0\n",
       "91fP0Xuh1zw8PAxp6Dl6v12+mk96Xl0b6menp6cxX23Xy8vLybGW3eWr/Wa9Xk+OXZ+4v7+fHJ+f\n",
       "n8+mqf2hanzWNA0te9XYX5Xmq+1RNbaBpqnt7q55fHycHGvZtX0c7SPu3qS+qOOIu1f6PtJr9N+r\n",
       "xnbUY73GlV3L0nkv6DV6L/Tf3TstvcNdX9Rrttvt5Ljz/lVadtef9bM0xrnxSu+F3is3bmj/VXqN\n",
       "61fp3eGeo9RfO+9wvcaVDQAA/H9u7qzvaJ0XuGv0s7TGcHskS97ZOudK5ejMa7Ucrr56js4ftc06\n",
       "cxbNx81jXbt9pvXtzKe17K6+2m7fvn2bLZfbI9G1u+bTWUOrtParGsuu96bTRlq/tHfjytbZI0l9\n",
       "orPm0DbT+nf2olRa61X5tcxn7v6mtU5Kc2kaaQ2t7e7aOe3XOdoH0vrXtXNa77qypn3BTt9M6z+3\n",
       "r6J7HqkcruzaBtrOut/l0kn9u7PHmdal7rM0BnT+v0G5Pd3O/0GkPNI7u9NHlqz/9Zz0LHbKkva3\n",
       "XFm0HK6d03xDdfZIOmOcWjJOpjZzfbFzzwEA+BHxiyQAAAAAAAAAAAAAAACoKr5IAgAAAAAAAAAA\n",
       "AAAAgA98kQQAAAAAAAAAAAAAAABVVbU6OjoaArylmG+d2L1LYs3pZ3rciaWXrnFp6DUplm9Vjo2Y\n",
       "4iC6c/TYxR9M8QaXxBbUWL273S6me3V1NTnW2L6uj2hMRq2fiw8l54H5AAAgAElEQVSr8UPPz88n\n",
       "x1q/zWYT09B75a55eHiYLavGOnVtpvXRfubipf7555+z12i7uudM20jjo7p81+v15Pj29na2HO5e\n",
       "aRvpc+Py1fJru+u/a7+rGuMZ67E+z06Ku+v6c6qve+ZT/FdtV20PVxbN55dffhmuSf05lbMqj7Uu\n",
       "rnR6XjsxZtOY14nf/eXLl8nx3d3d5NiN8dpvOjGwtQ1STHdXX72/nTjiWrYU/9elofXVe+XeJakf\n",
       "pbq4NHQ83m63wzXunn+m99+NGzoupnjPVfk934mrneYG7t5pOnovUnu4NPQaYv0CAPAP7t2a5mRu\n",
       "7tBZu6V/T/MPJ53TWYen+rk5S5rraz5ufqlzbLfGSJbMc9J8yrWppqttoscuD52TpvW/o/fz9PR0\n",
       "cuz6prZ9Wuu5z1Lf1LWPk/aIqsbyd54Blfqz2zPQttd1ia51Ha1PZx6v6bq1aqLpapru3mjZ9JrO\n",
       "s6jtqPtkbqxRaW3rnmft81qXzt7qkj3sdE5nTE/r0M6asvNM6P3TsnbaQ59X7UduTD90n9/tz+qz\n",
       "l/q3S1f7gBsXlfY97WedfqVtlN4TVXnt7p7FtLeYxnyXr6bRqa+WLfUZJ/UZV9b03lsyBnSeXwAA\n",
       "fhb8IgkAAAAAAAAAAAAAAACqii+SAAAAAAAAAAAAAAAA4ANfJAEAAAAAAAAAAAAAAEBVVa2Ojo6G\n",
       "AG+HxpqryrE+U5pVOVaei4unZUlxHl3ZtSwphqGj8fY68TNTzEKNJejy0XZ11yiNw6v1c3FL1+v1\n",
       "5Pjbt2+zeVxeXsZ8lesTKQ7r9fX15Pju7m445+bmZnKsZe/c39TPXJxEbcdOfOsUk1Lj47o0tB31\n",
       "Gr2X3XQ/c8+RXuPiox56TScWt8ZDfXh4mBx3xg2N5atpOJquxnJ1fVfrl2KuujZMMUidFGdZxzw3\n",
       "BqSyu2de80mxXl2/0s/0mXdtpPcvxYF3/UrbRMvqYqzqOXo/l8SZTmN+1eHx2DtxaTsxdNO4qH3C\n",
       "xfdOsYnd86v103bsjOmabideeYpF7fqESs+R68/6Xu+MrSq1M7F+AQA/k7Rn4KR5bGfenua+bg6u\n",
       "8zadX7qy6zVpHermCVqWNJdw5+g8R8vRSTO1u6NzJ83HtZnO4zpztFQ/PXZppPVfZy2b7qdrZ7d2\n",
       "+2y32w2faT7azp39jkPL7s7RtV6ao7uydfbedI2R9u+WrJc6z56mq/3Ore20P2sanf1YvSb176px\n",
       "r2m73U6OO2s7LUd6nqsO3492n+mekK5dXR9J6zK3LtV21frqvXP3Kq07XV9M/UqfK1ff1H/d/U17\n",
       "Hlq/zpjX2b9K0rq8Kr+zXFnTO6uzb6pp6D6Su0bboLPno9L9de8Nvb9p3HTPb3qvd94LKc3OXk1n\n",
       "fsG+CQDgZ8UvkgAAAAAAAAAAAAAAAKCq+CIJAAAAAAAAAAAAAAAAPvBFEgAAAAAAAAAAAAAAAFQV\n",
       "XyQBAAAAAAAAAAAAAADAh9XR0dG7fvj+/j57fHx8fHBGb29vk+OTk5ODr3H56mfPz8+T47Ozs8nx\n",
       "w8PDkIaW5enpaXK8Wq2Ga/QzLav+u0tD2/XoKH+vJ+Vzenoa09D6XVxcTI61DR1tM73m8vJyuEbL\n",
       "rh4fH4fP9P6la7RNXVk0ze12O1zz8vIyOT4/P5/N9+rqakhD21n95S9/GT7Tsuj9vLu7m/33qvFe\n",
       "6DmuvukZ1/q7ur2+vk6OtY+4Z0DT3e12s+Vyaej91HJo/64a20D7pubrxit9XjWN9Xo9XJPqp2V3\n",
       "Y166V+4Z0P6s12i+rp2/fPkyOda6uPFrs9lMjrXdtR+5NtP6aP92+Wr59XntjLXaZq5Nkuvr69ly\n",
       "aB4uH703+sxU5XFf293VRfu4trt75vXZ03Ls9/uYr17j3tFK+4m2o7aZo2XX59fVV8uvz5Gm4fpZ\n",
       "GmtcG6U5V6e+6f0LAAD+oTPv67zD055A2nepynN9l29aU3TyTXsVbn2U5ulL9mZ0ntcpa1qHunmR\n",
       "lk3r4uZbh66pOuthnYO6smq+2s5a9s78srOG1vWf7oHoWse1WWe+rNL97exfuX4zl6ajbab3ys3Z\n",
       "tX5aDnd/v8e8PbWra48l7XqozjiZ1j6ufVK7uny1jbS/appuza3jk57jniMd9zSNtM9Udfg+eFWu\n",
       "X2f/Pe15dZ551XkmVFqHd3T6iN7P77FHlN6LVeNYq+Vw+aZ3h+6L615NVb6fnT177YudPpL2M9y/\n",
       "aztqG2lZ3Riv6bJnAgDAP8cvkgAAAAAAAAAAAAAAAKCq+CIJAAAAAAAAAAAAAAAAPvBFEgAAAAAA\n",
       "AAAAAAAAAFRV1er4+HgIjnlorEj3mcbJSzF2q8aYfikWatUYwy7l42LeabopTZduimvZiZ3YiReb\n",
       "4uzqvdKYu1VjzEKN29mJVaz56jUufqi2o7aZk2LKpr7qaCxfFxtSY25qfEWtn4trmWJUunipmu63\n",
       "b98mx51nIvV510Yat1L7iJbLtZlrg8/c/U7xb7Ws7pnQdFO856qxvnp/O3F6tU303nRiCmsa2mcc\n",
       "rW96Nqtym2i7unJoGmncdOek+N2uj2gb6VjjxrjUjun+V+Xx2PWJlO9ms5kcuz6i9+br168H5/vn\n",
       "n39Ojq+vryfHd3d3QxopdnwnRnLqi66+KRa3G+NSbGK9V27c0Hw0ZrB77+u4l8bjToxdvabzDvtX\n",
       "xA1PceMBAPiRubnC96BzlPS+de/wtK/Qee+nNbVbP+hnOid312g+u91uNl83p9HPdN63pI2U26vQ\n",
       "NUZqM5eOllXXx26el+aLnX2kztxXpfp25rG6n6Frks79dXtPSttA58+dNHWur/N6tzeT9kQ0H3ev\n",
       "0nqhs/7trKnUoWOPk9YpnWdR83Vr97SXqPl0+mZn/zntpXaeo7Rm7uxfdcZjle6n25tLe5qdfqX1\n",
       "S/8PUDWOC+n57ezP6r3qPHu6B9TZJ01rc5ev9vF0vzv/39Ch90/LpvfGjT1pn6yzp5v2Gdz+Tvo/\n",
       "J/cuSWNcp53TWOLuQ2f8AQDgR8QvkgAAAAAAAAAAAAAAAKCq+CIJAAAAAAAAAAAAAAAAPvBFEgAA\n",
       "AAAAAAAAAAAAAFQVXyQBAAAAAAAAAAAAAADAh9VqtXo/9KKTk5Phs7e3t8nx+/v77PHx8fGQhp6j\n",
       "+Tw+Pg7XrNfr2XM0zdVqdXC+zuvr62waWr+zs7MhjYeHh9l8NQ+Xj9L66X2pqvrP//zPyfHf/va3\n",
       "yfHR0fj9Ii3by8vLbFnPz8+HNLS+HVoWbdfn5+fJsWufVHbXF/Wap6enyfHNzc3keLvdDmnovdA0\n",
       "Ly4uhmvu7++Hz+bK6p6JVA5XX21HLav2I9evNF3tE+7ZOz09nb1G22i/3w9ppGdis9kMn2m/0nZP\n",
       "5XL56jmaRlUe01IbVo3teHl5Ga/R/qvndNJI9dXnqmpsZ61/uneO9r0l7xL9d/ccabqp/lVjO6Y0\n",
       "drvdkIae8/Xr18mxa2fNR/uI9u9Ou6dn0aWjZdNjNwYovb/ufaz56vu1k4ae03mX6DVaH33v6XPn\n",
       "0tB758rq0plL073DVZqjAQCAeToPcO/fQ9+vbq6U1vduLqzn6LwuzR2r8nzL1U3nLGnu5MquOvV1\n",
       "8/K5fF3Z3dot5aFtomtVTdPN41M/0jlqJ11NozMHT+WqGtstlcOVXdN1+2RJ2otyUr6uT6S1TGe/\n",
       "Umn/7Ywbqf+6NPRZ/B59Iu0Ruc86z0BKI625qsa21/q6smrZUpu5NNSS8TntGXSeRS2rG890fEp9\n",
       "orMvrnu8S8b0Di2LltWtl9PeWmf/Xduxs8+Q+pXeO1f2tJ53/66fpX3vzvtI6+fy1TZJ7yM31uo5\n",
       "ei9cn0npdt772iZ67O4N+yYAgJ8Vv0gCAAAAAAAAAAAAAACAquKLJAAAAAAAAAAAAAAAAPjAF0kA\n",
       "AAAAAAAAAAAAAABQVVWr1WoVA7xpbDkXozHFG+zEQUwxc12M1YuLi9lyqE45NA1XX61fivXpYlRq\n",
       "fZbEikxxAf/rv/5ruGa73U6ONa7ler0ervn27dvkOMVUdWlou2ocUxdfMsVY1fprXTppuHZP8RVT\n",
       "LMWqsb7aR1y+l5eXk+MUp9Xlm65xz4jGmdVz9NjFhdxsNpNj7WedWJiprK7fpVifnTieSvuIazP9\n",
       "TNvQ5atxaVUnZvKScTLFctVnsTNepWfRlVXbTGNTu7jSS+LhqtS/XWzu+/v72XxdH9L3kY5H+u+d\n",
       "+Kran79+/Rqv0bJpXdz91TZI/btqHK/+53/+Z3LceU+mNuuMrWkcceOGfqZ9z+Wr9+vQ90TV2Cba\n",
       "f901qWxL4vQumW8AAPCj6OxvKH3fpvmHS1fnMEv2SDr/rummtWtnjrbb7WbL4cqibdZZh2saugbp\n",
       "7M1oO2u+bv2gbbKk/loOrb9bpymdc3fWOkrn9S6NtI+k8/yqsZ+kfYdO/07lcOmkNYbrI9oHNJ+0\n",
       "n+fK2llT6v3s7JGk/qrXuHWa1kfTdG2ka440xrn+rG2g17h2Tv2kMz5rutp/0z5MVR6vXNnTmOfW\n",
       "dp3++pl7t6QxrjPWqM5aNr1b3J6u1lePXf9NaXSevdQGnWci7S26vqtlu7m5mRzrGOAs+f+V1CfS\n",
       "XkbVsvmGtlEanzt7F0v6Vaqfe46S9P9LAAD8TPhFEgAAAAAAAAAAAAAAAFQVXyQBAAAAAAAAAAAA\n",
       "AADAB75IAgAAAAAAAAAAAAAAgKqqWq1WqyFAncaS68SkTPHmOnHwUgzh9Xo9XKNxDzUfTaMTUzfF\n",
       "5f1n6XymMQs1PqE7pxOrWGnsXo0N6cqpbXR7exuvSbFrtZ03m82QhsZ21fq5GJyH3s8lsRNdPM0U\n",
       "c1P7hCv7khjYh8be7tyrTj9Kz6fm4553rV/nGdCyaTtruR4eHg4um2t3vV96jo41Lo5petY6sbfT\n",
       "M9C5d8q1s6a7JCZ0ihnsngG9X6n/duIO65jn2jk943q/XRqdmMhK66exme/u7ibHLh6wjhvaru4Z\n",
       "UFdXV5Nj7b+d+LBfv36dHP/5558xH213jSXfie+s93dJPOtO3PAUs969S/ScFEe6U98Ud9l9pvmk\n",
       "eOaurKlcAAD8yNL6wb03df7Y2d/Qd3baZ3BzlrSWdXOWNJ9McwmXbmf96z6by8e1s37WWYce2kad\n",
       "eV5ah1eNfULbPc1RO2Vz16T6dvbztK911hhpnZ3unUujs1+X5vau/6o0b3drvVTftHdTNdZP15hu\n",
       "rzH1Ad2rcPcu5evm/un5TWlW5fW923vT9Z6uBzWNTtk7Y7qmk8aAznoprdtcWdI44vqVtpGW3fXn\n",
       "1Ofd/VRpz6+zlj30uaoa20THAFfftNfW2fdP/cqVNY2LnbFHz9Hnxu2R6DXpfdTZE1JL3tmuXVXa\n",
       "n+1co3QcdW2Wxgl3fzvvdQAAfkT8IgkAAAAAAAAAAAAAAACqii+SAAAAAAAAAAAAAAAA4ANfJAEA\n",
       "AAAAAAAAAAAAAEBV8UUSAAAAAAAAAAAAAAAAfFhV1bt+eHJyMnvR0dH4/ZOXl5eDMnZpvL6+zp7z\n",
       "/j4Udfjs/Px8tlwujXRNp26arrZhJ43j4+PJ8Xq9Hs7ZbreT41T2X3/9dUjjf//3fw8u68XFxeT4\n",
       "4eFhcqxld33o8fFxcrzZbCbHu91uuGa1Wk2OT09PJ8dvb2+zx1Vjv9J2dflq39NyaD5af3eN9hEt\n",
       "V9XYzk9PT8M5n7l21nS1bC7f9KzpNS7f5+fn2bLqvevko9dof68a75+2u7s32hd/+eWXyfG3b98m\n",
       "x66+6f669tD66LOm+bj63t/fz6ap5aoa21X7mbaHazMta+c5UtpG6bly55ydnc2mWTW2iT5Hmo9L\n",
       "Q++FXuOeI203Lau2UXrXunw6z7w+z9fX15Pj29vbIY3Ly8vJsb5rtC6O1l/7lXu3uP76mRs39NnS\n",
       "+uq96qSRyuHS1Xw771I9pzNeab5adk3TvTf0HO0z7tkDAOBn5eYFae7v9jfcHPOzzppS09BrXFkP\n",
       "nRu5dYumoWVzddNzdM9A03RtpvXROYvLN63dtb46R60ay95Zp6T7m/69k29n/nzocVWeC7u5v65N\n",
       "dV2a+l1VXrc4Wja9Ruvi5v5p/dfZz9F8Os+Ettl+v4/5all1Ht/ZV9J0tR+5PnHoHoFbc6Q1Y6dP\n",
       "6P3Tf3f1TWv3JXvJer9d2dPeRGd/I+3VuHul96azptR8Up9w+w7pGrd/pe+BtO529yqNaa6d035z\n",
       "Z59U72/an60a+6/Wp/N/FFq2zjipbaD5pP87cGmkPQQn/d+Io+mm+VZVfu933qWqM7/qvNcBAPgR\n",
       "8YskAAAAAAAAAAAAAAAAqCq+SAIAAAAAAAAAAAAAAIAPfJEEAAAAAAAAAAAAAAAAVVW1qqohwJvG\n",
       "sEvxcatyrM8lsXxTuarGuJUptp5LI8XWc3EAO7F659KsGttkvV5Pjl2sYm1Xjb+oabo23W63s2k6\n",
       "Wl+NFanxBjsxHDtxWpPUz5xOjOQUN7oTgzSlqbFCq3IMyhQf2H2WYr9WHd4nlsSldTEpUz/qxB5f\n",
       "EmNVy6Ztotd0xqt0r9xnGmO1E3dY/fbbb5Pj33//fThH4+yme+PaTO+VPjfuGh3TNB9Nw8VUTvGN\n",
       "Xb7pGdd83FibnvHOeJXiw7pnQj/Ta9w7TMeSdL/d861t0GlnzUfv9x9//DE57oxXqRxVYxuk+Mad\n",
       "2PJp/OpIY0JVHo/d+yiNg535VYozTKxfAMDPbMm8rpNGmvvpv7s03Dw1lSutGfXYzZV0Pt1Zlxy6\n",
       "hnbzWrVkb+bq6mpyrGtdNyfVOZnub+m8t2psk0Pvd1Wex7k5aadN5s53n2lZr6+vh2u0vlo2LYdb\n",
       "c7i+lqT9SM3X3d/URo7mo/15yV6Utru7N6kd9djVV+9V2vOsyvtVnfFK8+3UV2k+nfVhWi9p3Trp\n",
       "6trWrdMO3b+rGvtJZy2nUp9we416ju6JaJt19iu1TVw7H7rH554jvRedsUbLv9lsJsf39/eTYzfG\n",
       "a1m0z3TG9LRH4J7ftPfmHPoucfcqvRdcWdN+nd6bzv6s5tP5vyBXn886cxjFHgkAAP/AL5IAAAAA\n",
       "AAAAAAAAAACgqvgiCQAAAAAAAAAAAAAAAD7wRRIAAAAAAAAAAAAAAABUVdXq+Ph4CPqWYq66mI0p\n",
       "7p3GG9Q4tY6m0clXY/h14odquhprz12j8fe0rEtiv2pcQI2L6NJNcQ9d2bVNUhxTd02qn4tRuST+\n",
       "r0rt7mLfdmJuKj1HYzKmNnSWxHnUc7S+ri7abzoxlFPcUm13F6NT8+nEDD40puzNzc2QhsY21TTd\n",
       "vUnPvNbXtVkndm26JvVFjQVbleOlujjqen81Bri2mcYEd1Ls4qocB/3Q+N5VOVa1S1ePO+OGlrXT\n",
       "r1K8X+XGSb2fKSa4OyeNE51nUbkxX/un9it9Nl17aH21fq5ceo2e02kz7Tedd3a6n0ti6GrfdHmk\n",
       "eOzfI98lceMBAPhRpLlUVV7ruGvSXL+z35HS1PlX1ThP1fWD/ntnj6Szhk5zks68R+d1aW7saJvo\n",
       "2saVM63/vse9cW2o8zwtm7u/ad7auVdpre7mz9omei+0n7lypHl85znSc7SsS/aEOvdX+4hbhyqt\n",
       "X9qvrMp7i52x59D9O8eV7TO3X5nWWO6azl7aZ3ofqnKfd/+e9gg6+1kpXzde6WdaHx2vOvuz2udd\n",
       "udLYmdqjKj+vrs+kvpf2uF2+ytVN003jiMsjjeluDLi8vJy95o8//pgcbzabIQ3dR+lIc5TO/3Ok\n",
       "/0/o7IumsdQ9v6mPdN7ZWvZOfZf8f0rqRwAA/Kj4RRIAAAAAAAAAAAAAAABUFV8kAQAAAAAAAAAA\n",
       "AAAAwAe+SAIAAAAAAAAAAAAAAICq4oskAAAAAAAAAAAAAAAA+LBarVbv+uHJycnk+OXlZXJ8dDR+\n",
       "/2S1Wk2O397eJsfv79Nszs/PhzSen59nC3t8fDx89vr6etA1Lg8t29nZWbxG66ttpuXS86vGNtKy\n",
       "rtfr4Zr7+/vZdK+vryfHt7e3MV+l9Xf5aBpaX21Tl4bW17WRpqPn6LH2VVfWVJeqsQ1SfR19TrQu\n",
       "7jnSc7SNtH7umdC+qB4fH2O++nxqvu5edfqA0jbQsqf7XVX19PQ0Ob64uJgc73a7mK/e74eHh8nx\n",
       "zc3NkIaeo8/efr+PZdV21fq7PqLjgo4J7v7r/UzXuGdCy6pt5p69dP/SWOR0xg3t41pWbVc3xmub\n",
       "aT9y+epnp6enk2N9Jtwzkt63nfFK+5mWy/UrfW60bJpm1dgXt9vtbBquzbQsnTFdpXe4azPtR9pn\n",
       "Ou8wvb+d94Smofm4976m22kTpe2saSx5FgEA+FGk93NVfu+7a9L6r/P+1TmLXuPmdZ216meu7GlP\n",
       "yK1DD90TcnPDJVI7alndfoeb637WWdumtU/nvnTWv4fuq7i6pXVnZ22nbdLpzykffc6ctF5wbZbW\n",
       "+64/p/26Tr4qpeHSSWsd1zfT3qqj6Wp/TXue7py0D1GVn5PO+j+NNa5vajpa/8768PLycnLc2TPQ\n",
       "NtH6dsaJ9B5w/Tk9a1p/t5+V1u5pHK3Ke43uXmk7a9nce1DT0WNN0z0z6b2neyhV+b2vaepY5K7R\n",
       "NnPXaFncvu9nbqzVdF27qvRed31RpT2wJf1Z+6KrSxqP2SMBAOAf+EUSAAAAAAAAAAAAAAAAVBVf\n",
       "JAEAAAAAAAAAAAAAAMAHvkgCAAAAAAAAAAAAAACAqqo6cXEeNU6cxmjsxJdM8UFd7MSUhotZqHHw\n",
       "tKxLYsxq2W5uboZrttvt5FjbMZWjaoxBqfH4bm9vh2tSfFCNyeliNmo+GsfU3V+NldiJI61SzFUX\n",
       "C1TLorEhU7zYqhynU+tfNbaR5qPXuPqnvteJVaxtovV3z4TeK73GxZc8NB/XR7QNNB/Xzhq3M/VN\n",
       "d3+1vloXd42ek/q3u1f6mcZp7cRJT/FTXb56TufZ0/Eq1c/1Ee0TnZijOj5rP9JrXBraJzRfLZdL\n",
       "R+ur/c7Fh9VztE1cWfVeaBppzO+c48Z07XtaHy2ri5erz5rm68rqnunP/vu//3ty/Ne//nU4R9u1\n",
       "E1c6xbNOMXY757g+4dpgLo3OOKlcLGqV4nc7qf8S/xcA8DNJ6zQ3/9B5QGc97OYgn+n72b2Pdd3S\n",
       "uUbP0bJ30tCy6xzUrd3THpDOr3QN5vJ1+aRrfvvtt8nx3/72t8lxp800X3cv9RztA6k9qvycM9Hy\n",
       "p3WL65upP7uyp/lip/5L9hrTmlLzdW2qfS2tfar8OnPu3908Pq3dXVm13dLeYmdvtVNfpWXtrP9T\n",
       "Pu4avZ9pfOo8V3qNW7fqOdrOV1dXk2O35nL7cZ+5sqa9Y9VZly5Z26U9vk4amq9r57QO7ZRd217b\n",
       "sDOmp37j9sB03d3ZF9VxINXX7VemNB0d49JeY+f/V7R+ro3SPnCnzdLesZsr6P1M44R7zlI/6uz5\n",
       "dfZjAQD4EfCLJAAAAAAAAAAAAAAAAKgqvkgCAAAAAAAAAAAAAACAD3yRBAAAAAAAAAAAAAAAAFXF\n",
       "F0kAAAAAAAAAAAAAAADwYVVV7/rhycnJ7EWvr69jQqvV5Pj9fZrs0dH0Oytvb29DGnqOprFer4dr\n",
       "np+fZ8umaeixy/f8/HxyvN/vh2sObSOXr352fHw8Ob6+vh6uubu7mxxrO56enk6OtW7uGi1H594o\n",
       "Lfvj4+NwztnZ2eT46elpcuzur5ZN+5l6eXmJ+T48PMymUTXeP+0TWg73TGj9tBzad126StPotLO2\n",
       "id4rR8um5XJp6Dl6rO3hztG+p/2uk6+e07k3+tx07tXFxcXk+P7+fvbfq8Z7ofXTccW12c3NzeRY\n",
       "+7Mbr7QNLi8vZ9NwUp/XNKvy/dT6uXFS23G73c6m6T7Tdr+6uppNs2rsA2ncrBrbJPVv9x5J+bhn\n",
       "QK9J/ffXX38d0tA20DRdX9R7o30vvVurxmdPnyPXRq4sc1wa7l2RpHlOGgPdZ525graR1r8zPqd+\n",
       "5fIFAOBn5d7hnf0Mpe9wfe+7dUrSWR+leU5nfqlt0FlTatlS/VwbpvmWy1fz0Tlqp901XS2HWw/q\n",
       "+setwz5z9dV5u3L5pjmozn1df07rfbeW1XbT+ui/a/93+aZ9taqx76Vnz9U3rY/cNamdtX6d/Z3O\n",
       "M6JrJt3z0WtcG6Znz62h015E2hOsGttMn5Hdbjdck9pI73dn7NU0XNnT3ozm4/qItlnnmrQe7Kwp\n",
       "9ZrOvdH6pnGiM05qvm5/Uq/RNkpjr7sm/d+B+0zHgM1mMzn+/fffYxq6F6d7F1XjuKDtrG3U+T+K\n",
       "zrip90vbtbP+T3sCnfe+6uy7pLHH9Ym0R9J5t6SxpDPWAADws+AXSQAAAAAAAAAAAAAAAFBV/+QX\n",
       "SQ79xrA7J32L2n2zM/21SeeXUFK53F9W6Ld707ednfSN6CV/9eL+elu/8Zx+gcS1c/oLhs43k/Vb\n",
       "xfqXBp2/GO98W//QNJz01wjuG9Kp72mbuTTSX4l3fi3m0OeqqvfXNerQv75Y8g1415+1X+lfqGg+\n",
       "Lg39JYXOr3qkvw7stJmOJVp2/QuHqrGdU33dX6jpr4fovXJ9UdstPQOdfuX+wkylftX5S5r0l16d\n",
       "5yj96kPnLxu1DV2/6qQ7d35V/itT9+sx6S83tV/9x3/8x5CG/gWOtrv76zEtW/rVKff8arrp2XTn\n",
       "aDm+x/vH5avPfOpnnb+m6vxlkLabPq/pF+Bcvp36AgDws0hzqar8l+cdS/7qNu3NLPmr4s4vVqRf\n",
       "l+j8+sKSvyJPv9jQ+Stj1WkzTbfz6xppztnZM0h7TZ1fbVGdNZb2q/RrBS7dpPOrF52/tHd97TOt\n",
       "i0vD/VLCZ27drddofdIvwVblfTQn/ZJAZ09oyV/ap3TTWFQ1Pifahm4/Vs/RdPWXi10bpl9Mcn1X\n",
       "+8mSPd30jHd+9bGzlkvXpHW4Oyf1706+nT3dNNak/l419ivNxz3f2tdSfb9+/TqkoXskWlb3q9pp\n",
       "T1fvTWe/o7N277znPlvyy75L9uw770Gtb9pncQ4dN11ZOl01ZiEAACAASURBVPXjl10BAD8rfpEE\n",
       "AAAAAAAAAAAAAAAAVcUXSQAAAAAAAAAAAAAAAPCBL5IAAAAAAAAAAAAAAACgqqpONI5c1RjjrRND\n",
       "N8Wy7UgxOTux57SsndiYqhPzLsU91LK7mKupfi7m6GazmRw/PDxMjlOcz6ocB7ATL1XbVcvh+siS\n",
       "+6nl1/ppnEuXb8qnEwdRYzZqOTqxqbXNXKxfrW+KQ+vKfn5+HvNRhz57Lk1tk8vLy8nxdruN+WqM\n",
       "UY0f6mK9pnbtxFnWczSeqiu7PkfaR1yf2O/3w2efaX927dyJTaw0ndQ3Ozpxw7VsWo4lsda13Tux\n",
       "fJXWt1N2HeP0Oasa20SPO3FatSydsVWv0TbSctzf3w9p6LtF70XnHZbiW3fGjc57MMXM1X/vzHP0\n",
       "uNMnUnxnF/83xQh2/VnbVe9FZ16z5P0LAMCPSt+L+v5170l933bm5J31X6Lpdsqq85glezOar85h\n",
       "OmtZLYfOadw6Le1VuHx1bpTmV515kJ6jZa8a1wO6VtV276xLO3szmq+WVevbWT9oGq7PpD6g5XJz\n",
       "4TR/7jxHaY3lpDZyc/B0L7RPuPVDWlO5e+P62lxZO/tZnfVRGhc740g6p9POek4aE6rGvte5N5qu\n",
       "Hrv1b0pD6+/qm/Yv0l5z1fgs6p6B7qtVjW2S7m9n3Oi807Qd0/5VZ/+9s6+Sxlbd8/v9999ny1U1\n",
       "trvbV0l756l/V+V3x5I97M64ueQZ0HZO98pZsp+T8unsKyn2TAAA+Of4RRIAAAAAAAAAAAAAAABU\n",
       "FV8kAQAAAAAAAAAAAAAAwAe+SAIAAAAAAAAAAAAAAICq4oskAAAAAAAAAAAAAAAA+LCqqvfhw9Vq\n",
       "cvz+Pj3l5ORkSOjt7W32+Pz8PBbm5eVlNl8tV1XV0dH0uzCaRqqLS0OPX19fh2s0nVRWTbNqbEfN\n",
       "x+V7fHw8m4+rn9JrNE2Xr352dnY2OX58fJzNo8r3m5Svli21u6v/6enpbL5a9qqqy8vLyfHz8/Ns\n",
       "mtvtdkgj9StXVm2jp6en2X/X9qkan730XLmyaf30fmoejua7Xq+Hc/Sea9k0H+13VWPbaz6urHo/\n",
       "1cXFxeTYtfP9/f3kWPuMewa0r2k5NB83bj48PEyOtQ3dWPP169fJsZY99ZmqsV13u93k2D1nmq6e\n",
       "o3VxbZaeX3dv0nikbeT6iD5rbpxIUj6u7PqZ3gvtZ65s6Xl1Y632Na2/6xP6vOp4pfV39dVnQNN0\n",
       "40bqN5qPu7/aBnqNe470M62v9lU31mo7aju7smr9tOzuuVHpPd8Z0wEA+Fl09h066+40n0r7AU4n\n",
       "37RnkNZCLh9Nw63t07rke8xh3HpQ1yWqk4/WN7Vh1eFrSne+zsG0Xd2cNK3d0r5L1eH3yklr184e\n",
       "Sdrvqcpz4c6ekOo8e1qftB7U+11Vtd/vJ8ed9YJK44jrm+mcJc+v9l+XhuarbeieAS2bPuNL9kk1\n",
       "n85zlPbvnLSGcvc33XP9d7cnlNbQnX2ktEfS2d/Rcri+qPdT19Cd/2/QfqXPmj5nrizpHe7eLZpv\n",
       "2hd316S+2fm/kiX77Uv2zvX+aj6duVF6z7tnJs03lrzD0zvdnaPYIwEA4B/4RRIAAAAAAAAAAAAA\n",
       "AABUFV8kAQAAAAAAAAAAAAAAwAe+SAIAAAAAAAAAAAAAAICqqrLBUzXGncaj05h/VWM8Pr1GY89p\n",
       "XER3jXLx6w6Ns7ter4fPNEahxs5z9dV8UvzUTlzLFI/QnaNxK/XfXUy/FKPRtXPKJ+Xh0k19xH2W\n",
       "YlJ2YsymWJlVY/9M7epiY2q7prie7hxt9869Ulpfd29SDGRNw8UH1rLqNRqTtSrH8ezELk59oNOv\n",
       "tA/o/XXjVRonXX1T7Fpt1yXjpLu/KZZtJz6slkXPcWOC3i+9n5pGJ9/O+0il2OOuX+k1+u5w8Z1T\n",
       "vO4U39vlq8/V/f39cI3ec023E+Ndr+mMNSmOdOedpuOgPgOdGNh6TopL7Mqy5N6oTizu1H877850\n",
       "P90zsSR2PAAAPwt9Z3fWDzovcO9wnRuk+YbLV+etKU1XtjQndXsV+/1+9prOmjK1q5tv6dxQ5zW7\n",
       "3W64Rtso1d9J6+7O2j3Nt9y90vVPWpdX5bVNZ22nZd9sNpNjt97Xz1L9XH31Gm13d6/Sft2he4KO\n",
       "y1frm9J1906fAb1Xrp1TG+m9c2sObaPOelD7VWedor7HWkf3UXR8cnskbgxLDt1rdLSseq9cfd0+\n",
       "0Vwanb23tJavyvtX2h4uX+2/euzWoVqWlIYru94LLZum0Slb6u/us7Tf4c5J73lX9rS36K5J5VCd\n",
       "vcZUl6q8t6ppunep3s/O/8mk97o+I67NluyvAwDws+IXSQAAAAAAAAAAAAAAAFBVfJEEAAAAAAAA\n",
       "AAAAAAAAH/giCQAAAAAAAAAAAAAAAKqqarVarQ4OAteJh3tovDqXRif+YIqPmuLHums0/qLLtxO7\n",
       "di7NqjEmYYqZXDW2W4q56mIIpxij7t5o7EBtkyUxk1McYndOijvs7pWWLcWYdddofbTNXL6aj6bp\n",
       "6ptiQXZiKK/X68mx9gF3f7U+l5eXk2ONke3ur5bN9T2l9y/F7u3EHteYm504y0viKqdY1HofqsZ2\n",
       "TP27Ew+3E3c4jYudZyKNtUviwis3PusYp22y5F2i5ejEmNV8XczZFNN9SWzbzhiX4s934qSnGMEu\n",
       "7nTqV50Ys9pvOjGSldZfx7NOXHgtR6ed9TjFXXZSbHknndNJo9OvAAD4Uem70s3rVHpXujT0favn\n",
       "dNYgaa7g5uB6jc5RdM7a2e9I6zSXT5oLdtoszevdZ0vmpDrX1TTcnDTNW9Naz0nz+KrD54Juz0D7\n",
       "QGfOnfbAOvPaNOfu9IlUf9dmaT3YeQb0mrTv4qRyuHy1Ptrv3No97Wl2nt+Uj1tjaT9Kaz1XNk0j\n",
       "7XlWjeu/JXszeo6u3V3fTHucS2j9XTunPuLeC2l81jHQjQnpee3s2acxrlN2bRP3zKd3iXL3TvPt\n",
       "7GGncnT2ovScQ+tS9X3mLJ09gvR8pv/3cDr7V+l9euh8pCrveXbTAQDgR8QvkgAAAAAAAAAAAAAA\n",
       "AKCq+CIJAAAAAAAAAAAAAAAAPvBFEgAAAAAAAAAAAAAAAFQVXyQBAAAAAAAAAAAAAADAh9XR0dG7\n",
       "fvj+Pv3o+Ph4cvz6+jokdHQ0/52Ut7e3yfHJyclwzsvLy0Hl6KSr1zw/Pw9prFar2TS1HE5qI5eG\n",
       "tpmm0bkmcfXdbDaTY213d42W7enpaXJ8dnY2OXZ9RM95fHycHLv6np6ezqar1+i9rBrvp6bp+tXD\n",
       "w8PsOXof3H3RsmrZXBt1zjmUls2lqfXTNnNtpPQazdfdX73m/Px8cuz6ovry5cvk+Pb2dnLs+oT2\n",
       "eS2HcmloP9I09d8dfY40n+vr6+Ea7Zvarq4vajuma1wf0bHVtYlK7dzpI+kcHVfcOVofPXZpaL77\n",
       "/X44R6X3gLaZew9qG2ka7llM9yL1b5eu5qvPZtXYf7XP633QMd/l25kr6Dnpms6cRdvQtWkaj/Qa\n",
       "159TfTvPgB5ruVybpXd4Z54DAMCPQt/ZnTlp2ptw8620VtV3ts6dXbqdOUsqq+bj5g76mc4dXH21\n",
       "LDo37MxZ0jlurdOpT6LrAa1vZy9K57qdsmt9UzlcWVIfcXRun9aYnXw78/jUr5y0rtY0OnszFxcX\n",
       "s/9eldeUqrNXp3VZsj5Kz3NV3hd1dUlrddXZV+rsi15eXk6OtS+mfUSXrz5Xri5p/ZPGL5du512S\n",
       "2kTzdf1f2yg9z1W9d0ei9dO+58ZJra/2zSXrUC2Hex9pv9H9HG1XN16l90DnPeiez7k0XVn0eLvd\n",
       "Dtek+UZnz0+vWfJ/FOn/Clybaf20/3bG1iX9e8n/L7BvAgD4WfGLJAAAAAAAAAAAAAAAAKgqvkgC\n",
       "AAAAAAAAAAAAAACAD3yRBAAAAAAAAAAAAAAAAFVVtVqtVkOAN41Pp3HjXAw/jRO3JF5qijXnYump\n",
       "VPZOPDuNv9eJ3Zti6S2JMbter4drNN5givXqYmNqfTRmYSfeosaT7MSPXXJNyndJnOWrq6vJsYvL\n",
       "m+6fptl5JrRsrj/rZ6m/dmJFahqdmN8aYzU9z1VjP9L76WLK6jXunM9cO6ubm5vJ8R9//DGck+KF\n",
       "dsaaNKZp3arG51Gf1yUxz3e73Wy5qsb6aTt24oemOMOdfFO7uvi/KeZqJx3NN8Uirxpj2Xaeo9Su\n",
       "aQx0ZevEWU5x0dP7uWqMTa3n/OUvfxmu+etf/zo51vppGy6Jo+1om2h9UxzmqjzWurFG6+PSnUuz\n",
       "KscmdmlqvikWtxtHO7HUAQD4WXXmwt8j3TTfcGs7fWcvmcdrGp29Cv2ss+5Mc/1Omp19o5RuWkO7\n",
       "f0/rB1fWQ9cpnbmh3hs3J035pLWfS6PTj9J6V+egbl6v7aplc+vBx8fHyXF6jjr7SqndXTq6P6dt\n",
       "6PpqetZcWTUf3Z/rPL/ajpqPa2dNd7/fT447ezEq7ZNW5eco1cXpjFe6/tX6aj4uzVS/zrOX1mlu\n",
       "r0KvSWlW5XVo2ourynuaro3SerfTN5f0iTROaDu7fNM5bk2d9qzTfajKZe/0q1TWzru1c3+1fuld\n",
       "6uYJaT/HjRv6XKSx1aWR9lk6cyMAAH4W/CIJAAAAAAAAAAAAAAAAqoovkgAAAAAAAAAAAAAAAOAD\n",
       "XyQBAAAAAAAAAAAAAABAVfFFEgAAAAAAAAAAAAAAAHxYrVar93TS0dH0+yanp6fDOU9PT7NpnJ+f\n",
       "T44fHh6Gc97fp0U5OTmZHL+9vQ3XrFar2TS07C4NvSaVo6rq9fV1+OzQNLQses3x8fFwjfvss5eX\n",
       "l5ivuri4mBzf3t4O52g7K21nrUunLO4a/SzVT+tSVbXb7SbH2u6bzWa4Rvun3m8tl2sfLZu2kXtm\n",
       "9P6mvun689nZ2eRY28xJ9zeVy9GyuWfm5uZmcpzulSunfqbjk2uj5+fnyfGSceP6+npyrPXb7/fD\n",
       "NZqu3istl8s3jT2ah/vMpfuZe1a1v2rZ9biq6vHx8aB8Xd207+m7RPOoGuur7arPvPY7R/uIlsPl\n",
       "k+qbxvPuNalPdJ4jrY+Opa4uOk5qH9FnsTPmad/TNq3Kz2snDa2PpuHaKI37Kc1OGm5sTeNz6mdO\n",
       "KjsAAD8yfQ+m4yr/Xv/MvUt1LqTrMr3G7bOk+WVnn2HJvEfLovM+1x46n9SyL1mXapoujTQX1jTd\n",
       "ukXT1XzdPDatzTVf12baRnpNZ73QmesnqQ1dWdIen5vXahra7u4Z0LLp/dP6u7l/2oty1+j90mMt\n",
       "u2v39Xo9OdY26uxvaP2XrCGX7KukdYvrM2lsceNkGtO0nd1zpG2iabp9Qr3nmq/eq86+YWdPV9sk\n",
       "7U111u6693R1dTVco+cs2WtcMrak/Trdz3FjQHp3dPqzjhvaHp09Xe1Hbh8pjeF67MYefbZ0HHF7\n",
       "jelZ6+yjKb2msz+Z9hXcPloqi3vmD91rc++jJWN6em4AAPhR8YskAAAAAAAAAAAAAAAAqCq+SAIA\n",
       "AAAAAAAAAAAAAIAPfJEEAAAAAAAAAAAAAAAAVVW1Wq1WQ0C3FEvQxYdNcf40pp+LcXhobEyXr5ZN\n",
       "03Dx67R+Gp/PxbXUOICarsZ1dHEPNV1NsxP7U2k5XBpaP43z6GJSbrfb2XIsibma2tCVRc/ptNmS\n",
       "a7RPaN/rxEVM/XdJfFGV4kJWjfXrxHBM8Zw7sW21j7h21jZZ8kzoZ2lMcOfo86lpupjKek4nBniK\n",
       "D6v5uFih2jf1GtdG9/f3s2m4NlIptnonRrKLR/5ZZwzQdnXtnGKdKtefO/03SW3WiW/deV61D7hY\n",
       "vZ914v9qXGX3DtN+o+2sfcLFatayapu595Gek94/rt+lZ97150Pj37p21rJ25kZalhS/vBP/19UP\n",
       "AAD8c0vWR2mul+Y0Lp9UjqrD11huzrJk7pDWnXrs2kfLrnsVbn2k6ei8Vud9nXzT3lTVOE/VufGS\n",
       "PZLOWlbLovdGy+Xunaah+e73+3iNtlnnmdD7qffGtfPDw8PkOD0Dbi6s13TWHGm9oGl08tVzLi8v\n",
       "h2s0Xb1/euz6c0rD9UVNR9cpuifo0tB8OvsO2gZp7a59qGrc7+g8A4feT9c3tT6ar+tXOoZpPmkP\n",
       "Yakl44TSe97Zb0/16/Tn9My7vQrtv3pOZ23fecaTzt6i0n6lz5Grb2ojfa42m82Qhj5H5+fns+Vy\n",
       "5yzZZ0n/V+D6RPq/j85eeZqjuDFuSR8AAOBHwC+SAAAAAAAAAAAAAAAAoKr4IgkAAAAAAAAAAAAA\n",
       "AAA+8EUSAAAAAAAAAAAAAAAAVFXVarVaDQHeUsy3TsxC1Ylxl+J2ujxczMnPUpxaV5ZOHETNN8XW\n",
       "c2loPhrrU2M6Vo0xC7VNUpxa91mKLejKmuIbd+IeduLharqaht5fl4aWvRN3WOun9yLFqXVppPi4\n",
       "VTmGrJbDxY/Va7S+nTjanbIqfSY09qt7VjXfq6urybH29w5tI42p3NF5JjQWqNbX9cWbm5vJsdav\n",
       "E7tYnxsth+uLKT63XtOJ75yeTVfWNNZq/6/KY7iLK63XLBnzNI1OPHpNV/t8Z8xL46Rro/SsaV30\n",
       "OXP5aP3c/dV8Dx2vXVk7sZnT+6gTJz3Flu9IsZndvdIxrxN7O8UJ77x/VYoTDwAAptzc7zM339Br\n",
       "9Fjf2Z11eNp3cdeotJfRydet7XRumNqssy5Vrv7ajjqf0mvcHE3XjDq/0jVX1Tj3S3PS/X4/pKH5\n",
       "dPaRUn303rm5oeardXH3V9NNc3K3TtN80l6NSzetXV0aqX7umUl7IGm/x5Wlsz5Kz5rmq3XrXOPK\n",
       "mvYW0/lVvu0/c+2c9iY6a7vUB1xZ07pM03DrtLQH1Blbl+wbprG1s++9ZA2ptJ+5MU5pG2ld3DPh\n",
       "2n4ujaq8D6r3Tvfjq8b3gp6z2+2Ga9K+UWcPLPUr10Y63qZ70dk778w/0vPZ2WdIezOdsqol5ejM\n",
       "rzrvaAAAfkT8IgkAAAAAAAAAAAAAAACqii+SAAAAAAAAAAAAAAAA4ANfJAEAAAAAAAAAAAAAAEBV\n",
       "8UUSAAAAAAAAAAAAAAAAfFhV1fuhF52dnQ2fvb29TY5fXl5m0zg6Gr/Dop9pmqvVarjm/f199vjk\n",
       "5CSW6/j4eLasr6+vs//uyqbHWq6qsR31nOfn5+Ga6+vryfHt7e1svlp/l49e4/LVe6Ntkurv0tBy\n",
       "uD6h98udk2g/Wq/Xk2N3f/UzPdZ71+kjWg7XJ7TdtKxPT0+TY9d3tSx6P9016VlzZT3U6elpzPfi\n",
       "4mJyrGV3/VnbRO+Ne+ZTvzo/P58cPzw8DGnovdntdpNjV9/07OmxK7u2SeeZ13S0D+ix3peqsT6p\n",
       "n1WN7erK9pnrZ3p/O2mmsTSNox0uX70X6bnqPIt6rH2zauyf6bly/UrLpvdX26xqbDctW3o2q8b7\n",
       "qc9Rh3vfpH9PY5q7Jt3PVI6q/B505dJ8te913i3pfeueeQAAfhadd7jSubGbC6e5f/r3Tr5L1mk6\n",
       "z3PzAC2L5uuuSXsEys2n03yrs2eQ1lQujTSPd3Ru+/j4OJvmknWa22fQ8uu90TQ7c8MOLZuWI+0Z\n",
       "VY3Pia5TOnTt01m7az5af123VOW1m9bXrbE0n866W69J63DXzppPekbcZ2kd6p4jvabTn7VsKQ0n\n",
       "tWvnOdLjzl6U3qvOvmBah2k+nT1Qzdc93ylfvb86nlWNz5Ge4/LV+uizlta2VeP91Xw643Xaa3Rp\n",
       "6Gede5Getc47LeXTGa+W7JFofdO7pSrvb3TuTdqf7MyvOuOEWrIH0tm/AQDgR8QvkgAAAAAAAAAA\n",
       "AAAAAKCq+CIJAAAAAAAAAAAAAAAAPvBFEgAAAAAAAAAAAAAAAFRV1aqqhoBuKXavi9eX4sJ14sal\n",
       "WIEufl06pxO7WGMlarzBTtxSLYfGeezEyuzE5U317cThTbEgOzGDUxxLbfeqMX5miklalWMGa11c\n",
       "P0txHV1Ztb7aJzQesutXS6Q4y52Yuik25PeID+vySLEi3b1JZdV+5tpZ65PitlbluNIaV7nzTFxe\n",
       "XsZ8Dx2fXJulcaJzTRq/OnHSOzGw0ziocXhdrFeVxjz3mearz9mSsbYTQzfFkndlT2NcJxa15qv3\n",
       "28W2VZ0Yu9quKX63e971M332OmNNajP3HtT66DWdmMGq817Qc7TPL+nP6fyqsQ20DxDbFwDwM+nM\n",
       "c5LOHommm9ahnXJ03uE6N9K5g16j8xN3jtbPzSfTXFfL5dJIa3c3H0trKl1zuHbuzB+VrvfS3L8z\n",
       "j++soVVaM7u6pHzdHklnvpzSSHNfd3/TmrKzB5bq27k3+pzousU5dN/Q5ZvWIC4NbaPOvopy9++z\n",
       "9Xo9fHZ3dzc51vovWevouOHyvb+/j/koTUfbecm6VI879yal4fpmWnd29vwO3UNw1yzZM1iy7kzP\n",
       "eGcvOT1Hrlya7pI9zpSG7l9WVe33+8lxZw87PfOdsVbz6ewTqvQO/177Dun/JDp7KHqv0pytin0T\n",
       "AMDPi18kAQAAAAAAAAAAAAAAQFXxRRIAAAAAAAAAAAAAAAB84IskAAAAAAAAAAAAAAAAqKqq1cnJ\n",
       "yRDgrRMX7lApLqA7R3Vi2mm6KU6gy1evcXEANSalntNJQ/PVNDXmbtVY/hRv0MU7VpqGi/2Z4tB2\n",
       "4v+mWIJL4jvrv7t2TvF+O7GZNeZoJ0a03qtOLMVOzMnP3L3Ssui9cuVI8W878ZBT/TQ2ddUYI1nT\n",
       "SPFFqw7vm51zNJ9OrNfOGHeoznOkZXd9ItU3xdh1Zem0cxrT9f47Wjbt3524w+m56sTE1nM612i8\n",
       "W42z3Ind3ImR7N6Nc9d04h2nZ7FqbHuNM631de+0NIZ3xrgUH9eNb1qWTn/uvDs+c2Oe5tuJV55i\n",
       "9+r97TxX6d0KAMDPpDMn03PS+7jqXzNHS/NrR9PVOcp+vx+uSfssTmpHbQ+3V7FkLZvmj518df60\n",
       "pE+kcrl1S9q/ctLavdOvUtldHjpP1XTTnklVXnN8j/7d2avQ+rm5f3r20j5EJ40l+2bav93cX8vi\n",
       "+p5K90Z19u/SuOnyVdpGbn2obdDZW91sNpPj+/v72XJ02rCzd67jr7aJjseuvmkNvWRtt6RvurKp\n",
       "tPekabr30dXV1eR4u90eXA69N2mfyZ2j/ayz16g6ewqpbO7+HjpX6Ozf6X5W5/8oluzPapt09vPS\n",
       "OLhkjtbZBz50nAQA4EfBL5IAAAAAAAAAAAAAAACgqvgiCQAAAAAAAAAAAAAAAD7wRRIAAAAAAAAA\n",
       "AAAAAABUFV8kAQAAAAAAAAAAAAAAwIfV0dHRu354dDT9fsnb29vscVXV2dnZ5Pjl5WVy/P4+zUbz\n",
       "qKp6fX2dFm61cmWeOD4+nk1DnZ6eDp9pPqnsHVquDs3X1f/k5GT2mnTvqsb6aD6uvpqutrOWy90H\n",
       "PUfL1qnv8/PzbLm0PbplO5SW3fUrLetms5kcb7fb4Rp9jjQN/ffHx8chDW0Tvcb1Cf1sSb/S+6fP\n",
       "QOc5Ss+ie670s8416/V6cnx7eztbDpdGGp9cG2k6evz09DQ51r7r0tX+fHl5OVyz2+0mx3ovUr9z\n",
       "12ifd+2R6tN5t6Rr3LOn+apOX9R708lX+55e03lfpXPOz8+Ha/QcV7bP3LiRxmP3znafzaXh2j2N\n",
       "6e4aLatek94bVWMbpTSr8v39Hu+azjOvx9pGbrxK99c9ewAA/Cw6c5Y0N+xIa3k3n9bPdH6R5mMu\n",
       "jc4aWs9Zsu5OewhurpSucfXV+i2Z56Q+4ObXWja9Ju2ZVOU+4PpEWsss2RNSuj5016R9s86ctLM+\n",
       "0rZ3fe8zV3Ztk/1+P5vHPyvLnCXtnNZtVWN9dT2Y2sOVzfUrbTdtI72msw7vjJud/arPOms7bXd3\n",
       "H9IedWdfKY2tnfW+1iftGbmypTyq8j5SZ9zUMSyNeU7aR3J9U/e4dP+uszejZdN+1+kjWjbXFy8u\n",
       "LibH+kx03tnpvefKmu6nHrtxUveJOn0iPeNL3sdpD9Clm57fJe/SzjVL/r8IAIB/R/wiCQAAAAAA\n",
       "AAAAAAAAAKqKL5IAAAAAAAAAAAAAAADgA18kAQAAAAAAAAAAAAAAQFVVrVar1RDQbUlc2hS3NMVC\n",
       "dfkojQVaVfXw8DBbthSHuHuO6sQY/UzjJFblWJgaS9Hlo9e4uLsqtVkn/qDScrjztT6dGKt6L9br\n",
       "9eRY6+L6lbaz3gtNw5UlxXPuxOHVeJPuGk1X70UnnmaKObmkjTpxPTVfbUPXn1N8305caS279ivt\n",
       "My6du7u7ybG2keubmo/e307szxQTujNOdmK7pliuKfa6K0vnmhRTVvtRp29qn+n0K02j805bEvc+\n",
       "jc+dOK1L4tGna1L8dqcTrzzFw9VyuDFvt9vNXtN55pfEak6xel2+KS58J76zppveEy6dFM/b0foR\n",
       "yxcA8DNLc1InzR+XzK+0HJ19iDTP7ZQtzdFdGqqTb1ovuD0SXZt35lfaJppGWtu6c3RO1lnrpH0V\n",
       "t5/l2vGzzvoo7QG5sqc9MNef05xb65/qVtV7FlM/Sv3OXaNld22Y1lRL9hH1HLfPoGVLayyXb3pu\n",
       "OnsGWr9Ov0t7Qq6saXzqrH3S/l0nX62Prl113VqV+69r50PXYZ11qdbXPQOpD2w2m8nxdruNZUv7\n",
       "xC6flIbbh0njs+sTS8YJlca0zno/ja1XV1dDGvv9frYcLt+0l7pk/70jPUedfYj0HC3Zm+vs+XX2\n",
       "NAEAwP/HL5IAAAAAAAAAAAAAAACgqvgiCQAAAAAAAAAAAAAAAD7wRRIAAAAAAAAAAAAAAABUFV8k\n",
       "AQAAAAAAAAAAAAAAwIdVVb2nk05OTibHr6+vwzlHR9PvpLy9vU2Oj4+PJ8fv72O2+tnFxUXM9/T0\n",
       "dHK83+9n831+fh7S0HNeXl5m/71qrJ+WfbVazR67z1KbVY3trLSNrq6uhnO0rNpmWv+qsZ0Td68S\n",
       "1ye0Dzw+Pk6Otc30/KrxnmvZtH87ei+0HC4NzVfvtSHDOAAAIABJREFUnbuXWh895+zsbHL89PQ0\n",
       "pKHnaFndvdHypzbRNKvG/pzGBHeO0rIuaTPXd7WvaT767y4NfU46fV77kV6j/+7aLI01ro3SWJPK\n",
       "4XTG9DSm6TPi+p2WvXON0nulz4hr5/RecH1Cn0ctu7aRy1fT1XPW6/VwjT6Pqc3c+0ilfubOSf/u\n",
       "3kf6/tH6uzy0v6b+655NPUefGzdX0HPSuOGeRa1fek9UjW2vfbGTr9Jr0r0EAOBHkuZC7l2a5gGd\n",
       "dYpaMmfp5HtoWd36P83jdA5XlevbmaOkNF0aaS6U1n5VVefn55NjbROXb5qT6bz94eFhSEPTTfM+\n",
       "d06qr+vv2gZ6jlvrpHlrZ066ZA6anoG01nXndNoo5dtZ62y328lxZ4/k0L1Ud6/S3oTrV2l9pOXS\n",
       "NXXVuB7u7G+odG86+5Vpv9Zdo+l2xp7UJp09os4eQbom9e+q/Lx2yq5l64wbes2Svah0L1yb6Zh+\n",
       "6B5C1Vg/7d9L2rnz3k9jmnv20vso5VE13r/UZlX5/23cnrXSPb3O/+Okd0lnn3RJv2LfBADws+IX\n",
       "SQAAAAAAAAAAAAAAAFBVfJEEAAAAAAAAAAAAAAAAH/giCQAAAAAAAAAAAAAAAKqqarVarYYAbymO\n",
       "ZSfmqOrES02xfB2N4ZfycWV3MTYPtSTmaop76OJLaln1Xum/d+KWajzCJe2eyuU+0xjBS+JKa9nd\n",
       "vdTYmI+Pj7NpuHRS7OJO3GEth2uj3W43e46m6e6v9r1O/9bypzjanVignbi0Suub+rdLN8UU7pRl\n",
       "STxN7Ufaz1y6qtPOl5eXk2N9nt3zq8+rxhjVfuSeCb2mEx9W2z6Nk66dO+OR6oyln2mbVo3PYid2\n",
       "cRrTO++FlGanL6Z2dvdK+4D2X43xXjW2kZ7TiS2v/SjF5e2co33V3f80prvn1z0Xn2l9NV6wO0fL\n",
       "3okrrddouVwcYjcOzqUJAACmlsxj05pDr1myHnb/nvZzdN7XWWN9j3w7c1KdC3XWg2nt2plzaxrp\n",
       "frtz0pzc3d/UZm6OpvdP536aptsz0LluasOqcc6Z1pT6786S9WDai+ncq3TvXDppTen6Zrq/bo6u\n",
       "ZdN2TPN6R9N0aWifSP3XtXOqn7tGP9M1lO4bdmianTZL+6LuOdJz0h5R1fi8pv121+/S8+rGDfds\n",
       "fdYZazWNtF9ZNe6D7vf7yXHnfaTp6v3VPKryfpXWxd1fvRed/Y10P3Xvye07pHvRGeO0bJ19Ye2v\n",
       "S/5fI+0ruGex065qyd6aSnOUzryus88NAMCPgF8kAQAAAAAAAAAAAAAAQFXxRRIAAAAAAAAAAAAA\n",
       "AAB84IskAAAAAAAAAAAAAAAAqKqq1dHRUQzo1okvmc7R+IRLYgi7mHcawy/FDnT5phi6nViCGrdS\n",
       "6+tiY6ZYgq6sWhaN45hiR7p0NUbjbrcbrknxftNxVe4DnbIqjYXp4qemGIYag9Xlq3E8O/GsU190\n",
       "fULbOcW1dM+i9gHNp/McpVivLoawtmPnGi2L9hEXp1R9j/iwnWdcpTi7rr76rGm+Gv84xRetGuvi\n",
       "+pWOTyn+sZPaqDOmp1ivrhyahrahPpuuLCkGdid2sZ7Teeb1nE6+moaeo+WqyjGv0/1312jf03Z3\n",
       "6aSyd56zTpxllcZ4FzNZn7VO3PA0R0n1r8pxeDsxdvV+duKmp9jybrwCAOBn1Zkbd65JexE6V3Dz\n",
       "gLS2c/MrLUuab3TWhzoHdWXVOUhqx876MK1T3Tm6J9BZU+p8qrOPlOZTmm+nj3TW0NoGqd3dvUr7\n",
       "OzrfrMrro06/0nM6c32V9p468+lUrqqxDdJazz2L2gc68/ZD18yunVO7dp691Cc669LOmiPtky3Z\n",
       "E1nyDHTWkErXw2l/1uXzPeqvdXH9Kt2LJc9R55r0znJjjUr73C5f3Z90e8UpDdXZw07jYOf5TWXp\n",
       "vH9T/16v10Ma2+12Nk33Hkz9c8k++PcYw9OeSdXY9p295CVlAwDgR8AvkgAAAAAAAAAAAAAAAKCq\n",
       "+CIJAAAAAAAAAAAAAAAAPvBFEgAAAAAAAAAAAAAAAFQVXyQBAAAAAAAAAAAAAADAh9XJycm7fvjy\n",
       "8jI9abU6POFwzfv7kO3g+Ph4cvz29hbTOTk5mS3H6+trzFfz6dQ/nXN2djZ89vz8PJtvp400Xz12\n",
       "aRwdHc0eO9onTk9PZ4+32+2Qht4bra8rh5Y/3RvXR1L93L9r39P6p3JVVZ2fn0+OO31Pz9H6aVm1\n",
       "XO6cTr/S+moanbJrutrnXRuldJc8i1oO7ZtVh9fPtdmSsiktm44JTip755nX+6336vHxcUhDr3l6\n",
       "eppNw5VN09D66hhRNfbxzWYzOb6/vx+u+X/s3dty5DiWtO0V2oaUVTNz/1fZY9OV2kv/wSezVji9\n",
       "wp0Ytf02me9zRokEQAAEASgUK9Wr1pFrO01D73elL/7Hf/zHybGr55RPM06msrl6Vtp2bqxRf/75\n",
       "58nxw8PD2TRntuOk3p97lxyPx5Pjx8fHk2PtZ06qM1fWve/OZnze23YzM3d3dyfHev+N5h0GAAD+\n",
       "ZWXdvfc97+Ywac3h5ixp3a1puHx1/qzXuDVWmnM3+zuqWf/qOkTLoWk08y2tV3e/ej9pLd/sZ6V9\n",
       "F5fO3j2TmTxfdmVN95P2IVwaen/NOjQ9iyt7F+75TeuwZr9ONW2jz6/ej6bh1nbpmXB1lPZWNd/m\n",
       "+W2eef2ZXtO0lWr2e/bm49oqnePWi6nPr6zL0n7eTF7Pr+xvaB9p3oOqud/0zLv7TePxyj5Lehad\n",
       "9Aw07/2G9qvU3u6ZSPMa10dSvTb0Gi27q6O9/aopezO2rIz7AAD8CvhGEgAAAAAAAAAAAAAAAMzM\n",
       "zOHy8nLzccrv+I+G9Glu9wnblU+ep0/rp2+WmMmf1v+Ob09x/yWQvkmg+a/x9N/r7pO76T9F3DXN\n",
       "f6OfS3Nm7dsX9v63SfPtIs03oez9ZHLTNzVN99826b9c9F5cW6VPyTefPE//KbTy31TuGyu0DtJ/\n",
       "/Lt+qGXVfFa+TSR9c4ZLQ/Np/vtE0135Lz1tT/2Gh6aszf2mZ6D5bzmV/ktkZq1PpDRU8x9ozfso\n",
       "/bdj8yymb49p+nP6xo7mP3ZSOWbyf6qu/Heg5tO8O1O6zX8XNf8NqdLz3PTnlW/mSv2qqbOVtgEA\n",
       "4Ff1Hd804Kz8Z65K//Ht8kjf+rcyJ9M593d8m2iTb0PvL31zov5+Js/J3Borzf2atY5+o9///M//\n",
       "nC3XTP6mCOXyTdc031qb1phufZjWzK5vpn0z7TMuX21zLXvz7Zp6TbO/lebtzX5O860PSs/RbzRs\n",
       "9qLSvqhbc6Rn3LVvqlcde9yzqO3r+oDSdNOaqnkWtRyurbSvpXGi2avQcrj2Tc/eyjewNPtXWja9\n",
       "Rr/FdOUbwd14lfaN0jfQunyab11W6Rvfm72ZVO8u3b3fsu1+1nxzcdLsK6W/azR9MeXjxueVud/K\n",
       "NyQBAPAr4BtJAAAAAAAAAAAAAAAAMDN8kAQAAAAAAAAAAAAAAACf+CAJAAAAAAAAAAAAAAAAZmbm\n",
       "qomLp5o4nimmXRPjrokNmeINNnEeUzzNpo5SDEMXj09jRWp8PhejMcV/1XK4eIupjpq4tFqOFJ/Q\n",
       "lTXFLm7O0XK4OtNrmpiGqT2b2JgpNrXriykOq97f8XiM+WoMWde+KXavPmdNXG1Ns4nDuzJupJjX\n",
       "TWzmFM/b3W+K3dvkm2Jxu36V4uG6ZyD1vSZeql6j/cq1bxN7+lweriwphvLMth4fHx/P/v7+/n6T\n",
       "hsbqbeJZK+03WtYmpm6KVe3O0ftN8ctntmNJiiPuNGOc0nS1Lf7666/NNSmWrfbN5plIcXndz/S5\n",
       "aZ5fLdvPnz9jvppOiqus5XKa9gQA4Hex8l5s5jlpjdVI6xK37tafpbWtmxumObebb+j8Ku0R6Pkz\n",
       "2zVFU89prd6kkeaXbg6e1nLNHklac7i1jkpzQ7eW3Vt2d422n+bj+khqi+Z+Uz9zbaVrHe1n7hpN\n",
       "V8umdebaV+kastmvS/t3rq10zaH9zK1ldT2k56Q9Ipdvs8+g+WhbNH0z7TW6+019MT1XM9s+78Y0\n",
       "pfen+aS9VveztF/rrkn91Y0ben/pXtw5Sq9xY4D2vWZvJq2hm/W/7k2kd6n7WdrjbfYadbxy16Q9\n",
       "AU3TtUt65puxJtWrS2Pl3Zn2pFP7u3Q1TfZMAAD4F76RBAAAAAAAAAAAAAAAADPDB0kAAAAAAAAA\n",
       "AAAAAADwiQ+SAAAAAAAAAAAAAAAAYGb4IAkAAAAAAAAAAAAAAAA+HWbmQ394fX19cvz6+np60eGw\n",
       "Tcj87Nzv3fnv7+9nz3l7e/tf56t5zGzvV/O5vLzcXPPy8nI234+P02p1aeg5qVwuX01D7/d4PG7S\n",
       "eHp6OjnW+726ujpbrpmZi4vTzyBpuVy7pDpx7at18Pz8fPb3rl1S32v6s96vPhOurbSvadl+/Pix\n",
       "uUbvT6/RtnH9eW/Z3TV3d3cnxz9//jw5bvqV5uva1z0XX93c3Jwca/04WifuOUvPvB5rOWZy27i+\n",
       "qHXi2u8r10ceHh7OpqnHLp+VsVbp/bp61vZN5XD9QfN5fHw8OW7uN5XD+eOPP87mm94BM93zmmjZ\n",
       "3fOr6aY+4cYr7VfKPQPa5ql9b29vYxpaZ3/99dfmmr1juuvP6T3n+pWWVfuAtlUa32a68Wov907T\n",
       "OviOfAAA+FW5d2mak7lr0tw/7WW4NNL8y5U17W+4cug8J62fnDQna+bxaW/KpZPmOc36UNN0dbR3\n",
       "b8Ll+x1zspU+kvYMmr2ZxNWZzsF1DeLqI63LGmkd1sz9U5oujdTnm31CrUdtB92rcfk0+2Z6ju7v\n",
       "pD4zk9c2bg2W8tU03LpU67lpm5RGs5fctKfSMUz7d9qvdTTfZk9X+0Bayzvads14lu7H1WHas3b7\n",
       "hLqnme63ybcZJ5X2I62j//qv/9pc849//ONs2ZpnLz2vrn3TPnczbmga2lbNu0Xzcffb/A3iq+bZ\n",
       "ZM8EAIC/xzeSAAAAAAAAAAAAAAAAYGb4IAkAAAAAAAAAAAAAAAA+8UESAAAAAAAAAAAAAAAAzMzM\n",
       "lYsjl+LAuWs0lpzGrXSxbFWKY9mUNcUfdFZi9yZNDEOtEz3HxR9s4ih/5e5f02jiZ6Z4mRrTsOkj\n",
       "KY2Zbfm1Xpt61hijer/u/lNc0qZ/p77p4nim2J9N30xldTEpNZ0Ud7iJBdrEANf20zpr4h9ruk0s\n",
       "2/QcaZ25Z1HL2sT/Te3bxDvWa5r47HvHtCbusOZ7PB4316S4ynovLm6pxs1u3gspLrz6jjqb2d7P\n",
       "d8Rpbcb8+/v7k2MdW7Q93XOl56TnambbB/QZ0DrT/uDOaWIV6zm3t7cnx0283JSG9juXjrZ3M+al\n",
       "OluZk6kmnnUTIxkAgF9Vmud8175Dk+5Xbt6jcwddL7h3eFpD6jWu7FoWnV8181jNV+dbbj2s6eo1\n",
       "K9I+08z2/nRt48qq9aznpHZwZfvjjz9Ojt16MK1DV2gabm2X+k1a6874dXXi5uVfaZ9xezN3d3dn\n",
       "02z2N9Izv7Jv2IwbqZ6b8aopq9abrg+1TzR7FZqvG6/cGvGcZm+mGWv0nNR+ruzpmubZ1Hps9iu1\n",
       "DtLxzPY50fvR9nbtonXWtF3as03vJ0fTcO+jtH+V9tVmuv6rtI70Gs3nH//4xyYNvT+9RsczV1Yd\n",
       "F7RPuP335rlRaW6g7eDGWleWdI3e30q+zd6i+o73LQAA/xfxjSQAAAAAAAAAAAAAAACYGT5IAgAA\n",
       "AAAAAAAAAAAAgE98kAQAAAAAAAAAAAAAAAAzwwdJAAAAAAAAAAAAAAAA8OlweXn5sfnh4XBy/Pr6\n",
       "enJ8eXm5Sej9/f18RpKmc3Gx/3Mtb29vJ8daNv19Uw51e3u7+dnj4+PZdK+vr0+On5+fY7p6TlPW\n",
       "q6urk+OXl5eTY9cu9/f3J8cPDw8nxx8fmy6xaRs953g8xny1bMpdo/eX2nOl7JqHK4vmq22n/cHR\n",
       "vql9ZGbm6enp7DVadtdHtOx67J5frSM9dv1X6f1onbl61nRT27j21ftr+oRK9dqMTU2/0mfg7u7u\n",
       "5Pjnz58nx/qsujQ0Xx2vZ7bPZ0rDPYupXm9ubjbXaFm0HvX3K+Ozu0bLlp49HQNn8jPR9EW9pnkf\n",
       "ab9J/dv9LJWjeRZTuVw+WifNe1DTSPc/s61HzSfNYRx3fynfVM9NWzVji5Zfy9H0zfT8NuMkAAC/\n",
       "qpU5qHLv9LRHslKOZu6Q1mFp/jWznbfpXF/zcD/TNYiumd36QcvW7EWluZ/Oc1wdah3o/btr0vyp\n",
       "maPpvkLad3Dp6NourfVmvmdtp22habr9H5236/6Hk/q81pFLU9NoyqF9Qu9Xr3HlTOu0ZozQfPXY\n",
       "rbFW9kS0/KlsbtxI+5OujtKegXJ9U+sgjUUzuf2aPZKVPey0d6y/1z2imZkfP36cHOu9rOxxar9y\n",
       "a2gta1NHKo3Hrq+m/tu0zcpeo7aF1llTVk1Dj11bpXHRzRV071Dft03bpLI285w0jqzMN5q/L2i+\n",
       "TX9OfWSlLwIA8KviG0kAAAAAAAAAAAAAAAAwM3yQBAAAAAAAAAAAAAAAAJ/4IAkAAAAAAAAAAAAA\n",
       "AABmZuZwcXGxCfCW4nhqXER3jsaa05h3TcxG1cSiS3GFXR7pmqase+OJzuT4ty4NvUbPubu7OznW\n",
       "uIiurHt/P5NjYWo5ZraxPVNs0Jlt3EM9x8WDVXo/qX/PbGOoprjDK7GaXb/bG7fTtZX2ET2nicHZ\n",
       "5JOsxP5McT1dPWu96nPkYmG6mN7nyur6SBqPmrKma5r21Wtcufbm655FTSPF2HXpavumfufyXRnj\n",
       "Upxal2+KLb8Sa1zT1NjGMzMPDw8nx02f0HzSWNM8z0383zROrvTNFId4Zts/V2Jx6zmahntm0pim\n",
       "+bi48Cl2bxPjPKXp8tWyNu0LAMDvIr1rHX2HuzlLWlNoGm7+kd7Rzbwu7V24NNL6wdk731jZ32nW\n",
       "KXpNMydNc/+mjr5jTqqavSitE72Xpi2btXvaA9Jr3Lw2PRPNGuvm5ubkWNeDrp5TGk0dpXV4s3+3\n",
       "0q/SHtHK8+vK6tr8q7S/NZOf8WYtm+q1KXtKcybvCTVr6LTed+OV0uck7V00XFumPqF7Ne75Tfv8\n",
       "+lzN5HFe02jGeM2n2X9P71tXzrT/7NpG6+jfse529Zz269IemTuneebds3WuHO78tLfonr30N5j0\n",
       "npjJz7iro6avAQDwK+IbSQAAAAAAAAAAAAAAADAzfJAEAAAAAAAAAAAAAAAAn/ggCQAAAAAAAAAA\n",
       "AAAAAGZm5nB1dbUJ+pZiRTop7mwTDzfFuGviw+rxSlxL5eIeamzAJjaxSnGV3f2mc5qYjSlOqYtZ\n",
       "mO43xQZ112jZVmIkp/Z2P0tpuLJqPWt8xSbfJj5qijmqv3cxlVNsWxfXMpU1xdt0aTTl0vLrOU08\n",
       "2BSj0qWhffzp6elsOVydpdjiK7FPm/tNcXddWY/H48nxw8PD7nxXxqsUd1bjlrr+nMYNJ8Uj1zpz\n",
       "47f2iSaGvdZzE3dXpf7cvGtSGm4s0va8vb09Of758+fmmjS2NlbuN437+nttF3eOtpW7l1RWfQaa\n",
       "92ATF36v5r2/9/cAAPzKVuYw+u5s1oNp/eDmGjoH1XnuylpW15hubqhzo7u7u5NjXQ/P5DrRub+W\n",
       "Y2Z7P3/++efmHPXXX3+dHKd1SzO/VO6atEei5XB9RMumdejKpXNbXbconde7a7RsP3782Fyj9aw0\n",
       "DTcXTn3A1bPWo9aJ9l+Xr9artp1bL7j+ea5cTb5pL25m+7zqM9+soVPZXL9KeyCaplv/ax9o1lip\n",
       "36Txa2bbB/T+3B6n1pu2Tep3M3kd6vLdu/5bSUP7iJPGANc3tZ7v7+9Pjv/7v/97c01qv2acTPsq\n",
       "K3sGqln/6/2696DWvZ7TjBsre6taR+mZaGia3/E3GZeGtmfzzKc+kMYid02zJ8K+CQDgd8U3kgAA\n",
       "AAAAAAAAAAAAAGBm+CAJAAAAAAAAAAAAAAAAPvFBEgAAAAAAAAAAAAAAAMwMHyQBAAAAAAAAAAAA\n",
       "AADAp8PMfOgPLy5OP1/y8bE5JdI0lEvz/f39tHCHQ0wzlU3TvLq6Onu+y9fl8fr6erZseo3LV8t2\n",
       "PB5Pjh8eHjbXXF5eni3r29tbzPfl5eVsWTUPd066v+vr65jG4+NjzFfLqjQfrdOZbR3pOa599X60\n",
       "HJrm7e3tJg29v4ame3Nzs6scM74OvnL1rP1Zz9E0tVzuHE3T0ecmld31K62Tu7u7k+Onp6fNNWnc\n",
       "0N+7fJ+fn0+O9V5c26Tn1V2TaL5unNQ6SuNz06/02PUrfY70fpX7vZZV+55rXy2Lpqt95OfPn2fL\n",
       "5cqhacxsx2ytI73GjfHq/v7+5Njdr9ZJGmtd/9c09Pl1fULrJPUzl6+ek8bemW296vOZnrPmHDfG\n",
       "aVm1jjSN5p3WjBtK67GZK2lZV+Z1AAD8Kpp3p0pryOYdns5p1g/NWjbNhfUad/9pHrey7m72YtJ6\n",
       "0Entl9YgLo10LzPbebrOuZu1nraVHjdrWU13ZR+tqXfd89CyNftKe+fxM3lPSO/P5atr9+/g8lGp\n",
       "Tly9N+uw9Pu0n+HyTfuxyu2BaZ/QNJuxJnH9Ie2JNP1KxydNw/UhrVdtOx0jZvaPE83eTPPMp3eH\n",
       "9s1m7d7Uc9o3Uy7flbVr2tdv9qrSeNW8W1Kabl9J+2azz5/K0vyNIu2RNPt1aUxP43lTDpevWnnH\n",
       "rezFAADwu+AbSQAAAAAAAAAAAAAAADAzfJAEAAAAAAAAAAAAAAAAn/ggCQAAAAAAAAAAAAAAAGZm\n",
       "5nB5ebkJ8JbiLbqYcHpOiv3p4mk+PDycLayLQaqx8vScFMNxZhujUjWxbFPsRBfbVmmduNiBKR5f\n",
       "E7MxxQp09aw/S3ENXbzF1AdcvtontC00H9eWKdan1tnM9v5SHGJXz3p/TTzrFEO2ieuo6WrMTdef\n",
       "f/78eTZNrecmXmoTEzr1571xeme6Zy89J5rPzc3NJg3tm1rP7hnZG5e2iSutcXjdNaltVBOXtmmL\n",
       "FAdd09R7cWk0MaO1LVL/bmIIH4/Hk2P3vtJ0tN9ofGBXz3qN3l8zXmnZm5i6WjbNx5VV812JLZ/m\n",
       "F65903tAy+WeCdfXvnJ9Ir1L0jxgZvuOWplfabraditzpZX4zgAA/E7SuqyZt6c1hnsf65xF5wFu\n",
       "fpXWGPr7Zs9Aj3/8+LG5RuckWvbmfpWm0ewz6Dlp7ujy0bK5smqf0DrSfFxbab7N+j/tvWkaae/G\n",
       "XePWv9q+KvU7V5bUN5tz0rx+plu7qrQH0vRfTaO5JvUjTcPV2f39/cmxtt3KvpIeN2torffmmpSv\n",
       "e37Tc9M8R2nN7NpO+2azN6Ppatt8x7PYlDVd4/LVNLQcumcyk9e/K32xWUO7vra3HGm/0kl7Is1e\n",
       "ctoXduNZqsfU/k7zHGnZ0l5cs1+Z3otO6iOuztJ43NTzSh8BAOD/Ir6RBAAAAAAAAAAAAAAAADPD\n",
       "B0kAAAAAAAAAAAAAAADwiQ+SAAAAAAAAAAAAAAAAYGZmDpeXl5uAbisx3lK8zBTjz53TxLTT+Hoa\n",
       "4y6l6c7RuMOurBoLciXucIq56sqa4vBqOZ6enjZp6DV6v679U1zhh4eHs+e7fJpYvaqpo5SvpuHi\n",
       "PGo8UL2/1O9c2Zp4x3vjWbu+mc5p+qKWXdvKxUvV2KdNHek5Kcas65t7YwjPbO9PY7nqc+P6WYpt\n",
       "2sTgTM+Vix+a8m36lT4Ter8u3/TcrMQtXXkmmvZN96vH+ny7NFQTWz2N8S4PvR+tI1fPmq/eX9NW\n",
       "qWya5kx+TtL7ambb15qYs80Y/pWL1fwd8eh1XFy53yZOepoLNf0q5UtsXwDA76zZd0jXNHMHnRs2\n",
       "856UT7OvosepHDN+PfBVM4dJezFuftms/5SWNe07aB4uDb0/V9Y0n9I5qNv/SPk0exU/f/48Ob69\n",
       "vT05dvermrWcSv3XtV2aL7tr0l5F02fS/TV7JGlvpnl+tazuOUvPr+aj7T2z3a9sxrj0vDbP4so6\n",
       "Rft8SsM9R3d3dyfH2p7uGdB8tc6+45lo3iVpf6NpKy2ru0brQMeRlXEircNn8n5O8x7U50T7QLNv\n",
       "lvYQmnd42q+cyXtAzRif3i3umtQHmnpWP378ODl2f1/QdLVf6T7xyvyq2QNTWs/NvmEzrwMA4HfF\n",
       "N5IAAAAAAAAAAAAAAABgZvggCQAAAAAAAAAAAAAAAD7xQRIAAAAAAAAAAAAAAADMDB8kAQAAAAAA\n",
       "AAAAAAAAwKfDxcXFx+aHh8PJ8fv7+9nfOxcXp59ReXt72184yUfTbNK9uro6Ob68vNyc8/j4eDZf\n",
       "TWNm5uNjU227fj+zLbvmo/XuztHjp6enWA6tR5dPylfL3qSZ7vf19TXmq+k2+Wqb6zmuD11fX59N\n",
       "Q/uM6yPpuXHXaB1oGqkdZrZ1on2g6Zt7+5lLV6/ROp2ZeXl5OTnW+2nGDb1frefb29uYr9az3osb\n",
       "81b6okpld7Ren5+fT47v7u421zw8PJwtm+brxkntm9qeruxaz2k8du2dxg3Nw52j99u801J7Nv05\n",
       "pdn0Kz12baP9VfPR+tD+4Mqiabj3r/aJm5ubk2NtOzf26P1p/3VjjZZFy6F11Ix5eo17H6UxLtXH\n",
       "zP4+4tJN9+fSSGNcU0cAAPwqdN6TjmfW5v46X9R5gJvXqfTO/o55jpvXpnSbOtJ89Ro330p14uo5\n",
       "rbs032aPRLl1yvF4PDnW+9Fjl+/9/f3Jsa7t3DVpTqppNGsdvT/XDmk95NpTaZ01+1d6je7FaLlW\n",
       "5uDuGWjWMun3ad7u9oS0rHo/mobr/9oWzT5SOkf7kUujGUtVqqNmzEv7k02+aY+gGfP0eda+OrN/\n",
       "De3ybZ41lfb5m72K1PfcNameNU33/Kq0Pnbn6DOuY48re1rvN/vAae9i5Rlx0t5p6mczeS9qhauj\n",
       "pKmjNN9Yeaet7KsAAPC74BtJAAAAAAAAAAAZkM41AAAgAElEQVQAAAAAMDN8kAQAAAAAAAAAAAAA\n",
       "AACf+CAJAAAAAAAAAAAAAAAAZmbmcHFxsQkwmeLCNfE0m7idm8JI3DvN9zvi/7o0bm9vT441Jqkr\n",
       "e4of2cSK1LI0MWa1nlO9uvvVdPVeNAbtzMzDw8PZfJSLg6j9RmM0uri1qe+txDvWOtP2n9nWkZYt\n",
       "xfZ156SYlS6fJva2SrFtV+qoqee9MaKbsuozofGe3TnpuXLppFjFrt7TNa6OXPm/asZapWNeE2c5\n",
       "xal18UNTTOSmjlQTL3Ul/q8bw77SWMXNeyGNm+6cFFO3eS/ocRNDVzXxjtOz5+pI00mxx117pxjR\n",
       "TTzcVO/NmKdpuP68N452k28zV0rxfpv7TXGkm7EGAIBfhb6zm/lVmgu7+bO+19P6wc17Nd2mrGn9\n",
       "p/OtZh6gc0N3v7rW0ftv1rZpvdvUs+aj9ezmrGk/p9kTSvNnV89p783db7MOS79Pe29u3p7ySfNN\n",
       "d45q2vfu7u5smm4urHWm60XXJ5r1X8pXpb7qyqblSPtqM35/6qtmPajnpLWQk8YeR8cRbW93b2l8\n",
       "dveb1kPNfrTuGTT7DFoWbe+9e68z2+fV7XFqva3sJac+7uo57fk171KlZb+/v9+co/1o755YUxZ3\n",
       "TXrfaL9yY8BKnaT9jfQ8u2uaPYP07vzx48fJsXt+0xyk2TdL1zTvhTTGu3SacR8AgF8B30gCAAAA\n",
       "AAAAAAAAAACAmeGDJAAAAAAAAAAAAAAAAPjEB0kAAAAAAAAAAAAAAAAwM3yQBAAAAAAAAAAAAAAA\n",
       "AJ8Oh8PhozipSejk+P39fXeal5eXJ8cfH6dFc9foOXr89vZ2cnxzc7NJQ8+5uLg4+3uXj16j9+/y\n",
       "fXl52fws0TrQfF9fX8+e78p2dXV1cqzt4NJ1dXIuTZevlk3rtNH0Ef2Zlr25Rusk3b8r2+3t7cnx\n",
       "4+NjzFfTuLu7Ozl+fn6O+SrtMzPbtkn91+Xr+k2i+ayMAfqzpl9pf07Pc9M3r6+vT47d8631mMYA\n",
       "l28qq5PGp3T+TB4nm/ZPaTRjYvM+cuPPV1qHrj5S33RjQOo3x+Px5Fj7odOMNekZ0Ppw96t13/Sr\n",
       "1J56//qMzGzHEi1rU897+3dTNtfP0ntwZXxuxpbUntp27v5TezZ1BgDAryLNnRr6Dndz4b1z3SYN\n",
       "nY807/C9cwl3TTNX0vI/PT2dHKd7cWno/bm503fskeg6Tcvu5rFN2VK+K/tm2n6ar95vs/5v+nPa\n",
       "V0lt15zj6jDVkabpyq5paB25/Tqdy6fnyK1bdA/o4eHhbJoz2zrQfFI7zKw9A+r+/v7k2O1fqb19\n",
       "xF2T9qYaab3ofpaeo2bsafbFdU/ArRm/avZZdAx3ZU3324wBej96L9q/Z/J41fRnHX/1HFfP6b3Q\n",
       "7AunNJ3vePZS/3Xv7FTPK/vgSsczVxY91n7k3qVpL8rt7+k7OvWrZo+zsfJ3CwAAfgV8IwkAAAAA\n",
       "AAAAAAAAAABmhg+SAAAAAAAAAAAAAAAA4BMfJAEAAAAAAAAAAAAAAMDMzBwOh0MM8JZiKZYZnRy7\n",
       "uHgphm4TYzXFuGtikDbXaL4pDm1Tdo37p/XhyrI3HnCThqN1lPJxMQy1DlZiQ2oa2t4u39T3XB1p\n",
       "jEZNV9vOxTV1MRgTvUbTvbu7Ozlu2reJydnEQ01prMT8Tv1Kf++eo9SvXLzjFFNV29vlq/FB9Xl1\n",
       "dZTaoukzKQ03trp+co6739Q2TYzVvXHEZ7Z9XvtZ0zb6HOk1LtZriondxKJO/ds9E6kPuLEmtcXK\n",
       "mN/Es957TRM3PMXyndm2359//nlyrLGZXRppruDGDX2O9P6asqdrmtjb6TlaeRYBAPidrMyV0jvb\n",
       "zeHSNc38au96eMXK/TbzDV1TpTXYTJ4vN+vfVCduz0BpPs3cMLVvM/9yazmV1r/6+6bOGlpvWta0\n",
       "5prZru30mmYfSdeDzbOo6eo1bo2l95f6mbvftFZv1jp6P5qmWz+k9a5b//71118nx9rnHx8fY76p\n",
       "bK5t0h6YPkdu3Ez7dy5f1+ZfNfWsNF/37KV0mj6imrXeyjOvVvaBV94lKd9mXynVczM+p7F2ZS/9\n",
       "eDyeHK/s77iypvFY69A9E2kv2dWp1mMqa7Pn2cyV0vO78hylcvzdzwAA+B3wjSQAAAAAAAAAAAAA\n",
       "AACYGT5IAgAAAAAAAAAAAAAAgE98kAQAAAAAAAAAAAAAAAAzM3O4uLjYBHhLsVub+L8pnqSLcac/\n",
       "S7ExXVm1bBoHz8Wz09ifKb7mzDZWYIp92sRc1XNcfFy9Hz1nJWayXuPuV+te60i5GMJPT09nz2li\n",
       "Q2r7NjFItY70HNffU7ra3i7GbIrl28SE1ny0HZqYjU3bpTiWmoZrX42Zq3XY3G+K56wxlWe2fVzv\n",
       "r4n5ncrqyq5tnp6JmRxTVuu5iR/axNpOcWn1uBl7mrEllb+JC78SUzW1xXfEB3bjpKar5UjxY2fy\n",
       "u7SJCZ1iBruya3s2MaF//PhxcqxxtVM84Jnte6Fp373xql2a6dlrYo2ntnLtqz9LcxZ3TXommri9\n",
       "zbgBAMDvYmVumNb/M9v1bVrbujlLmqO5su99zzdppDX1TF7bNXO4lfWD1rOu01I5Zrb1nO5lZlsn\n",
       "mq6uj5t9tKZP6DVpjtrUs96/q+e0ZtR5vfPHH3+cvaaZC6c6c2no/kXTJ7RfpXm8q2ddd6Xn2aWT\n",
       "9ndWnkU3XqV9lLRX5TRt0/S9r5r7VS7NtFfc7OmmPuD6hJYl9cVmvNL+7epIy6LXrOwda5r/+Z//\n",
       "ublG602f+eZ9ldbqK+8SrVd3/2k8dvWc9lLT+D2Txw13b3v3CFy+e/umu8bVyblyuDTSPos7Z+Xv\n",
       "WGmfpdlXAQDgd8E3kgAAAAAAAAAAAAAAAGBm+CAJAAAAAAAAAAAAAAAAPvFBEgAAAAAAAAAAAAAA\n",
       "AMwMHyQBAAAAAAAAAAAAAADAp8PMfOy+6HCIP7u8vDw5fn19PTm+urrapPHxcVoUTeP5+XlzzcXF\n",
       "6Wdh3t7ezpbr+vp6k4Zek8oxM/P+/n42H73m6elpk4aWPaU5M3M8Hk+OtU40jbu7u00aj4+PZ6+5\n",
       "ubnZXPPy8nJyrPWoaTh6jt7/Sr/StnPl0DS0fV2+Wja9Rvtzk4aW1fUrTff29vZsGo4ry1faljO5\n",
       "LbRe3fOr6er9aR26czQNzce1b+pX7pnXa9zY8lXTvqlvOloneuzKrmXVsjXPkUrjZpOGa980lqb2\n",
       "d+domq6etW3S7935qT+7vqjnaLqapss39ecmX60jvaZ5DyrXvukcfZc040Z618xs6+Th4eHsNa6e\n",
       "daxt3r+JpqHv6xnfx79y9az1ltJw0jjRjFcAAPyq0npxxq/dvnLvUp0Lfcf8UucwrlxpDqpzJU3T\n",
       "paHzEXe/aW2ua1u3BtOypb0aV1Y9J9XHTJ77ud+ntY6W3c1J05ysuV+lbeXaN5Vj5ZxmPp32jdw1\n",
       "qV6bee137F+t7CutrGUTbd80Ns1069C0x9WsB1WzR5LyaepZx9q0vzOz3StN46SuOf+uLOn3aVxI\n",
       "+4gu3WZPSNPROmv6YnoPuD6S7ndlXapt4/YM3B78V2nfZSY/r2ksnsnPZ7PHmfZZ3DmaRjPmpb3U\n",
       "5rnSfO7v70+O3XOUyuH6c/NeS9K7svlb0Mq4CADA/0V8IwkAAAAAAAAAAAAAAABmhg+SAAAAAAAA\n",
       "AAAAAAAA4BMfJAEAAAAAAAAAAAAAAMDMzBwuLi42Ad005lsTD1fjwjXXbAqzEHM0lUOvWYmd2MQc\n",
       "1fvT+3dlX4lVnOIor8S2XblG71fL/vj4GNPQOnJtozEYUzzcJnaxxlt07av56LFesxJj1pU1xWHV\n",
       "fJv7XYlnneJ5fxeNk635pLFoZlvPWoeu7E081PR7zVfL5mJlanulfF3ZNV2NOeqePa1nLXsTq7mp\n",
       "1ySNX65998ambq5p4vCmGO5NzO+9cdNntnXQxN1NcVnTWOTSSG3VlKOJz57er037quZZTGPASr5N\n",
       "POv0nnf5pmuaek6I7QsA+J2srIfTPMDNafQaXWPp/NJp5r57r3HrbqVzfb2/Zl9Fy9GswdLa1c1z\n",
       "0v0263+9X7cuSWVN99+0XbNe0HXKyn6W1mOz57V3Xdbsd2jZXb/Ssulzo9e4etZ6bMqa+oCm0ayP\n",
       "NU1X7+n+0prT2bv/4c5p1pRpfe/uV/uA5qv93e13pH0yN37rz47H48lx056pH608v03bJC6NtOfT\n",
       "1Fk6xz2/Wo/pfavvyZntM6HtvbIntDJeab26sVfPWdnPUvocub6Z9nCbvx2kenVlTWXTNJu9Cq3D\n",
       "75ijNfuzTduwbwIA+F3xjSQAAAAAAAAAAAAAAACYGT5IAgAAAAAAAAAAAAAAgE98kAQAAAAAAAAA\n",
       "AAAAAAAzwwdJAAAAAAAAAAAAAAAA8Olwc3PzoT98eXk5f9HhsPnZ+/v7yfHl5eXZ3zsfH6dF0TSa\n",
       "smg+mubFxfazM5pGU463t7ez+Wqa19fXmzSenp7OXuPy1fI/Pz+fzcfVu/7s/v7+5Pjnz5+ba66u\n",
       "rk6O9f41X1fPj4+PZ8/RNF2+6f5dnWkaqX/PbPuApqF1eHt7u0lD71fL9vr6urkm9QGtIy2nS0PL\n",
       "pnXm0tF6bp6J9Oy5sqr0zDf5unpVWkeuv6bfaz9KdeZ+pvejz5GOES6fNPa4n2nZNV/3LGq+Ws/6\n",
       "jDhN/1XuftLvUz1rWV09p/eCu19tCz3Wa1zZtW30nLu7u801Oman8diNgVrW9EzMbOskvY/1XTOz\n",
       "rfumT+j9aV/UfubuJT1H7t2Z7lfTbOZKys0VtL1SOZq5k9ZZU+8AAPyq0nxzJq+X3Dte09W5oL6P\n",
       "m7WOcvOctA5ryp7mhm79m+7HrTFSvs0cJc1bmzSbtbrSeVuqd1fPK/tmaZ2ix25++R39Oe1FNXWo\n",
       "99+0jfajVB/uZ81elLq5uTk5bp7ftO529axl0fWf5uv2d9J+ZLPW0Wdc83Vryr37Sq6saexxZf/x\n",
       "48fJse7FNXskqb+6MW9lTyg946k+ZtbG1rSnmfZ8Z7p9BZXGBa3XZq9Cr9H2nsnvW63nZh7QrLO1\n",
       "3vQaPW7utxnj0jOexk13jXJ7YOm50ft1+ab9m+b51XGwSSNZeX4BAPhV8Y0kAAAAAAAAAAAAAAAA\n",
       "mBk+SAIAAAAAAAAAAAAAAIBPfJAEAAAAAAAAAAAAAAAAMzOzDXBnNLHk9sZpdXFsU3zYJpZeinPY\n",
       "xNZrYham+KhaLhe3tIkHq1IMTv29u9+VuJZ6PynO8NPT0yaNlbZRqU+4mI1a93qN64spXU2ziWup\n",
       "dbQSA7t5jlL7umu0fTWf9HuX7kqcaa13LburnxS717m/vz85/p//+Z+T4xTv2mnGq9S++nsdZ2by\n",
       "8+qeAfc8ftX0K61Xzcddo/ej8Z1dLFuVYvm6OtV8fv78eXKc4uPO5DZvYskfj8eTYx03XNzhFHfX\n",
       "1VmKC6/328Q8V65faflTvT48PGzSWImjnd63TVzpNGdJderOacaeVA6XhuajbaHPd5NGM6YBAIB/\n",
       "WVm7p/WQzgPc3DBp5pMpH3cvuh7S+VSz5kh7CG7+qfN4nT+6sjbr7K90jj6zLbvev5tfpTmoavai\n",
       "tF7dNbqm0PtPe1XummZvJvX5lOZMntc2ZdVj7VfNulTPcX0i7a01/Vl/pm3X7EVpP9Nj3Q+Z2daj\n",
       "5uvuV+mzp/3K3a+WRcvq9jd0fat1kvZrXRpaDrcfq2XTOtE0m31THTfcNdrn055Xsy5Vrp7TPorW\n",
       "0cpeVPMcqeY9qGVp9r3T+j7t187k977bZ0h/12isjM9p/tD0q5U6Sv1z73vSnbMy32r2d5p+BAAA\n",
       "/h++kQQAAAAAAAAAAAAAAAAzwwdJAAAAAAAAAAAAAAAA8IkPkgAAAAAAAAAAAAAAAGBmZg6Hw2ET\n",
       "bM7Fu/3KxfhLMetSnNrPwpwca1xPl0eKnZdi/LmyNfF/NZaenqNxADXW78zMX3/9dXKs8SQ1Tq/T\n",
       "xJRVKYahq6N0zUoswSYWZooN2cSbTGV3sT+17lM/c/07xSB1UjzYlZicqVyO5pPGhJlt++m9NLFd\n",
       "UxrNGKD3p3FqXTqpPV3fTDHOm9jMKW56E4NU03D3m+IbKxfHdqU903jUxD5N75YmxnmKxe1iJus1\n",
       "TSz5+/v7k2Ot9ybWeup77llMsbZTv3PnNP1Zf6bl0HxcvtrXVp55rZPU/i6NNPbM5LZp3k/p/lwd\n",
       "abp740y7fJo4wwAA/K7cu3TvvsNMnoM1exWqmRvqz7TsOmdz84I073HXpPtt5lsqrY/dz3SO3cwv\n",
       "01zY1bOmm/YQ3BpMy6J15Naht7e3J8d6v+4a1ax3la67Hh8fT471Xtz9pvVhM39Oc27XR/Scpu/p\n",
       "2s2tGRPtNyvPeNrfcfeS9itdHWm+qayuXGm/yq3dtU+kfJuxVsvh9ki0/Gn/1d2vlj3tC7uyaL76\n",
       "e5fGSh3t3Wt0+aZnb2Vvplmn6ljS9JlU1mYM1H18HQOafJu5Qkoj7bvMbOsojQHN33WaOUras1fu\n",
       "/lfe2alszV6jYo8EAIC/xzeSAAAAAAAAAAAAAAAAYGb4IAkAAAAAAAAAAAAAAAA+2dA2+lWZTYiV\n",
       "veFSmq8mW/mq1/SVle4rDfUr35qvQEvhM/TYfRX9SuiTvV+T59olfR2/q6P0dYv6VXRN6AT96j33\n",
       "VYLpK1ZX+lXzdZPp6/ia0Bjp6whXvkqw+drH1EdWQkWkr0V0ZW2+ljf1Pa3XJsyUpuHuN30FafPV\n",
       "t6kfNeOGHqfQKE4zXu3ti/oOmNmOAU1YrdQntFxNiCwdW9z9ap9Y+SrUvV/9OpP7hP6+6SNNuLJU\n",
       "jytfXd2EXFGprM3XEK+EiNo7bjZlWwlL08w39Jlu8k110nydbPoq+Wb+AQDAr2plnreydtf3b/o6\n",
       "95kcCrMJt5DSdPei85hmjrp3zdGE9NsbbsOl0YRf0PVDE4YnhYNt7jeFeWxCY6S5cbM+/I71gnJr\n",
       "95X1QqrnvWEgZ3IdznzP/Dk98yvrX9U8v01/TvfTrKlSWV2/0rV62jNxaaT9K7cua8IKf9XsCaVQ\n",
       "rzPb8UfXh837SOsghTVx+Tb7/EnTf9M4uDJeNft1qT+nUF0u32avIoV3Su/0mTzGNeFhUn9eCePy\n",
       "XeGd1N4wNS5dLVuaS8zkfRRCBgMA8C98IwkAAAAAAAAAAAAAAABmhg+SAAAAAAAAAAAAAAAA4BMf\n",
       "JAEAAAAAAAAAAAAAAMDMzBxmZhPQLcW0c3HxUuxPtRL30MWnSzE4tRy3t7fxnJW4uymmrEtzbwxh\n",
       "d43Sem1iRTYxklM5mpi6GoPy58+f/+uyKtfvXLp781UprqfTxFJ0cYS/0linrj9r3eux60N6v1oO\n",
       "rVeNwTqzvR+ND+ukGJR6fy7Wa4r36+43xSZunonUB5p4saltXH9PMVeb+KGpbOk5c2m49tZz7u/v\n",
       "T46bMSCVrYl1mn7v+rOmq33GxVbXOMMpvrErp9aBHjdxabXs+jyvxNRt4sOqledIy9E8A6kczTOR\n",
       "6t3lk8Yvd79prF2JR78SW72ZowAA8LvQ934zR2vmI2lO3czR0zzn+vp68zO3ZjqXppv36Fz38fHx\n",
       "5NiVNc2nNF9XPw8PD7vSmNnOp9Ic3O0ZpHmcK2tahzVzNl2HNHNBbd+0h9DskTRlTfPYZj6p6/uV\n",
       "vSe9JvV3l0bzDGhb6LPW7AFpv9GyNmk0+xsq7ce6/qzpahpurNmbRtPe6X6bsUfr1T1Xe/tEs4Ze\n",
       "2atIe0CpLV0a39GvXBrpmWjKqulqGs0YqJo9Es2nGTfSWn1lL7l5ftM5zXOk5zTjV+rPzd8omj2R\n",
       "lIa+J3T+MZP7TdNWCXskAAD8C99IAgAAAAAAAAAAAAAAgJnhgyQAAAAAAAAAAAAAAAD4xAdJAAAA\n",
       "AAAAAAAAAAAAMDMzh4uLi01gPI0dp7HlVuItKhdrTq9JsW5nZp6fn3eVw5U9xXV016S4lk383xT7\n",
       "cSU28/39/cmxiyWomrh/6X6amLqpjlx9/PHHHyfH2jZPT09/U+K/18T+1HrWOmpi6q7Edk0xZDXN\n",
       "FHfbXePaO8XP1PihGst5ZtsWKdarSzfdn4tjqvloGnd3d5tr/vrrr5PjFFf6O2LbzmzbV+uxiSmb\n",
       "6sS1TRontexNDOHG3li9TVz4Jrbt3njH7n61nvW4iRu+EqtZf9bEWU59T/N1Y0C63yZWsd6vtk0T\n",
       "zzqVfWbbn1eeX31ONB/Xr1Jc4aaeU99096v314wTKsU3Jv4vAOB30qzL0jVpfTgzc3t7e3K8dw4z\n",
       "s33vp7WPK5ta2c9J60V3TprnNOVo5oZp3trsCTXzOKVtofNLbe9mnqf5ujVl6ovK5ZvqyEnXNGtK\n",
       "fSY0jYeHh801qc8368N0f64/a/tpOZo5uaardeLGgLTu0t83a6y0TnU/076ne4valjPdXqpK/UbL\n",
       "5fY7tGxar+5+tawr6yVNt9l7S2NNs1eh/WrvmODSbfaz9BrN53g8bq5Jz1Hzbkn7WY6WRftIc78r\n",
       "74W9fwtx+5VuHEx57N17cmnoc+PG0pRvqiOXb/p7w8r+ZDP27N0Hb9MFAOBXxDeSAAAAAAAAAAAA\n",
       "AAAAYGb4IAkAAAAAAAAAAAAAAAA+8UESAAAAAAAAAAAAAAAAzAwfJAEAAAAAAAAAAAAAAMCnw8XF\n",
       "xYf+8P39/eT48vLy5Pjt7W2b0OFw9vjj4zSbi4v8GRYth6bpyqZeX1/j+Xo/WjZ3jZ7z9PR0cqz3\n",
       "e3V1tUlDz9Fjd7+pHK5t0jVaRy7f6+vrk+OXl5eTY60jV2eaj95vU1alZdU+487Rsum9uLLd3t6e\n",
       "HD8/P58c39zcbNLQPqHcvTX385W2i7umqee9z7zrI3qO1pmrD81Hy6rlcver+aY03c/Ss+eeX72f\n",
       "ZtxIY5reiyu7lkXTdH0mjZPNeKVS33Tp6nPy+Pi4Ow3tAzquzHTvl0Tz0Wfe0fvTa5q+qc+N1pG7\n",
       "JrWF9jP3HGk96jnu+W3eUXtp33Pj895yuDrTPpLeEzP5WUvzICe9j5t0mzFgpY4AAPhdNO9sfVem\n",
       "+fVMXqc067Y093fXpPtp5ixpfdTMN/ScNP9y+a5IdeTyTXPBZo6W+kizhlauPpq+l/JIa9d/1xx8\n",
       "ZZ8w9Zu0tp/Z3p+m2az11Mr6QfvR8XiM12hZ017czLbNm33C9Jw0ewZp36gZa9NelBt7tCxaz01Z\n",
       "0x7C3d3d5mc/f/48Of6Ovqj358ruxqNzaczk9mzSSFwd6X7G/f39ybG2Q7q3mbxv6Gg9ahpNvul9\n",
       "vKJ5fps+kcqykoae04wjK2NAmjs075KVd8tK+7FvAgD4XfGNJAAAAAAAAAAAAAAAAJgZPkgCAAAA\n",
       "AAAAAAAAAACAT3yQBAAAAAAAAAAAAAAAADMzc7i6utoEeEtx71LsyJkcj87FlUuxQF25UpzhRrqf\n",
       "Js2Uhiv79fX12XOaGLopvqaLbZtiCa7EKm7iDqfYn66eNWas3k8TO1FjcD49PcVrVKqjJlaki0Gp\n",
       "9vZfl2aKZ+yuSbFcta8+PDxs0tBztL1dzNF0v5pGE9eyyTfF0G3ix66MGxozNsWDdfFSNX6zi6us\n",
       "tM/f3NycTbOR+oiT6rnpz2ncbNLVNF2+WicrMd3TeN2MPSvnaPs27xbtryk29d+lc+6aZu7QxJJP\n",
       "8YtX4tY2c5Q0J9FnUZ+7mVzPLt90P03s4pV3FgAAvys3/9CfNWuOtFfR7Hc0c1C1d43lrKx/0xy0\n",
       "mRtq2Zt1WZrrN/PalX2ltIZOebiy6DlapzN+jnnuGncvWkdadrc+SnNw1ayX9JzmftO8vXl+m/WC\n",
       "rjvTmtmth7V90xjgftbseaU0mvVgGlv0/ly/Svfr8nDPxbk03PlaJ2nfYSaPG3pNk2/TVqkvpnfN\n",
       "36V7rhwzuf2atkrvjqZfpb2ppl81baPtmd6lt7e3mzS0rE1f1L6n/UyvceO5llWvacZibe9mr3Fl\n",
       "rEnvypW9imZulKy8F9gzAQDg7/GNJAAAAAAAAAAAAAAAAJgZPkgCAAAAAAAAAAAAAACAT3yQBAAA\n",
       "AAAAAAAAAAAAADPDB0kAAAAAAAAAAAAAAADw6TAzH/rD29vbk+PX19eT47e3t01C19fXZ895f38/\n",
       "e77LZ1PYw6H62bl8naurq7PlcHloHT08PJxN09XZx8dp1ad7mZm5uDj/2R9N00l1slLP+nuXx+Xl\n",
       "5clxU1atN+03mq9L09X9V66sqU9oO7h8tWxa9qenp801WkeaT1OHz8/Pu8uq/fnx8fHsNa4/aD5a\n",
       "r1r2mW3bpLLe3Nxs0tD7bfpVat/v4OpI8315edmdrqvHlO/e+3NpaL6apiuX9oFmnFDans0zoP0o\n",
       "Pb8NLeuPHz8256RnT39/d3e3SUPHBX1G3DWarpZV60ifd5dGep5ncnvq86p5zGzHRc3XjZOab3oP\n",
       "uD7SvKPV3ne262dpXHTPkdbbyvilZW/aFwCA39XKetjR92uag7r3sV6jx24Os3fN4cqV1mWurGm+\n",
       "0czB07zOzXt0/rR3jTmznR9rnWmdurLsbe+ZXHZX1uPxeHKsa/dmrpj60cravVn/p/m06896TtOe\n",
       "Kd9mTZnWOk17a7q69nFtk9YpaY3p8tGyrtRzKsfMdv2n57ixSH+m1+j696+//tqkoZo+oulqOb5j\n",
       "72JlnFzZe2vWsuo79sSaMV7LtrKGTvfn9gl1XEz9u3l+VTO2pnHR5Zv+JuHG1tR+zf5H6ovNuJHG\n",
       "Wmfl3Zmek7QnNpPHSXcN+yYAgN8V30gCAAAAAAAAAAAAAACAmeGDJAAAAAAAAAAAAAAAAPjEB0kA\n",
       "AAAAAAAAAAAAAAAwMzOHq6urTdC3FI/PxTRs4jieO98WrohJmeIaaj4utm2Ku+vuJcXwW6mzJv6g\n",
       "5qPxBrXsTWzbJoZhinvYpKFl02t+/PixuUbjvaY6crEUU9ldv9J+ovej5WriaGsaT09Pm2v0HC2b\n",
       "luu74rRqTGi9P40d6bjYvF+txBxtpKE9qysAACAASURBVGfPPUear4up+lVTzyt9McXgbMYNLbtr\n",
       "h73jcRMnXWMIu2de+2vqI00c7WZMVzr2aFxxF6tZ26bpV/qcpHjArv+vxA1PMb6/I1/3jOgYpuVo\n",
       "4vCmftTElVYp/rFLI7W3u0bLqseuX+2NiT2Tx199rr5j7AEA4HfSzJXc+/UrN2dJ8xqdX7m5UprH\n",
       "u/lGWoc2+w4p3/T7mbx34dbDOu9x96fS/TVrOW2LZq6U5o9pr2pmu05p7j+tj1b6sx43e1E619d8\n",
       "XNlX9s30Gq13rcOG9plmbdfstan0rLm2Sf256SPf8fymvShXZ/ozLevKPnDTvqkfNXvJaZ3m7lfr\n",
       "RO/38fFxc03ae0vPt8tX72+lP+seiav3lb3kvXsxTd9M++AunZX3gl6jbefy3duvVt5xzR5J03+T\n",
       "Zv851XPzLKqm7Hv3OJs9+yZf9k0AAL8rvpEEAAAAAAAAAAAAAAAAM8MHSQAAAAAAAAAAAAAAAPCJ\n",
       "D5IAAAAAAAAAAAAAAABgZmYOM7MJ8LYST1PjLWq8W43p5+LDavy9h4eHs2nMbGPWadmamH4p/q27\n",
       "3yamapJiJ66kkeLHunz0XlyMRm1fvV891nqf2caPTLGbZ7blT/EUXb9KsYs1zuXMNk5pilPr+kgq\n",
       "e1PWJh+V+vxK3OGV/r0StzTVs6uzNAY0MaG/I16q1nvTJ74jnrXWa4rf7qzEptZ8m/Er9TOXb4oJ\n",
       "7a5ZiZOd8m3G69SezfismndN6lcrfaIZe1KMc20HjT0/s33faJruvZDyafqVPq865jt7+0QzXqtm\n",
       "jEua+L+pzwAA8CtLczT3Lk1rjpV8m3melk3PadYLqexu/pHmPe6atN7/d+0ZpLVcc796js5RXVnT\n",
       "HFvL1ayHtezNXoWuj9x+jtJ6bNYlqV8dj8dYjtQnVvZI9BrXVppPs4bWdPQcbYemPzd7Qmle3qz1\n",
       "0p5fM9akPqH9zqXbrI+aPZBUrnTNyvoo7YG6NJq91bRP9ueff54cPz4+btJQus5urkn7LCtld+2g\n",
       "6aZ+5X7vxv1z5ZjJ437T39M5zZ6Q0rZy+xBpfG72zb5jL6IZJ/eOE+5+tU7SHpHLN40jzX5WM78C\n",
       "AOB3xTeSAAAAAAAAAAAAAAAAYGb4IAkAAAAAAAAAAAAAAAA+8UESAAAAAAAAAAAAAAAAzAwfJAEA\n",
       "AAAAAAAAAAAAAMCnw8XFxcfmh4fDyfH7+/vJ8cfH5pK5uNj3mRRN0+Wbjl06l5eXZ/N1aej9XF1d\n",
       "nRw/Pz+fTbPJ5+3tbXOO1pnm+/r6urlGz1F6jasPvV8tm7vGlf+c6+vrmEbTrzQdvb+bm5uTY9dW\n",
       "qX1dPWsduP56Lo+Z/Ey4azTfVO8uj9T30jMyk+/XPUdaFr0/d7/uZ19p+7v21Xz1GncvWiepHM24\n",
       "kdKYyX2vSWOlnt3zeK4czXie3hMz2/t9eXk5+/vmWby9vT2bpktH779pf70f1weUppP6r6tnvd+m\n",
       "j+g1ek7TVk3fU5qu3q+2TfMcpf79d+l8pe3btF0q18y2njXdpuyp7zVjenp3Nu/wpk8AAPC7aPYd\n",
       "0jXfMb9y+ab5R7PGSnPyZm2n99fMHTTdNM91mvV+Wt826+E0v3L1rGXTNLQO3bolrYfS/s9M3jNo\n",
       "5tNa1mb/J/UztwbV+0v7OzMzT09PJ8e6HtSyPzw8bNLQc5rnKI0L2t6urdL619Vz6s+apjs/tadb\n",
       "c6S91aZPNPugKtVJWtu6nzX7xGm9v/JeaPYQUr1qGs1z1LyP7u7uTo51LE3j9cy2LbQczb733ufq\n",
       "78pyrhwz27Ek7au4ZyLVs5PqUX/v3gupzzfvI003vdMbzbOXft+MCc1+/Mr+lUp9z/WJlX1gAAB+\n",
       "BXwjCQAAAAAAAAAAAAAAAGaGD5IAAAAAAAAAAAAAAADgEx8kAQAAAAAAAAAAAAAAwMzMHA6HQwzo\n",
       "pjEZXVxajR2X4sQdj8fNzzSWaYql2OSjXIy7FIPTxTrVa7SOUvxFl66WzdWzWonHp/k2cTz1fjUu\n",
       "bRP3UGM0NvGOU1n1/pvYp6qpwxSj8bv6lZ6zcr/pfprnKMULbeqsqaO916zELnZSjFGtVxe3VMew\n",
       "Jta43l8aR1wfeXx8PJtPM16txKVN7wEdE1xZ1UrcZeXiaKd46018dq3Hps/vHY/d+anvufbde7/N\n",
       "c9TEok5xwZv43aktXF9MMd3TOOrK2kjpNrHlV+Lwpmdc67mJK73yrAEA8KtIcwknrZmbdWjKx73D\n",
       "07qsuWZl7q+afO/u7k6OdX8nraln8nza1bNK6/BmvpXmuTN5Dt7Mp/VnP378ODn+5z//ubkmrVN0\n",
       "3abtMLNduz09PcWypnps1u5aNs3XXbN3L8K1lc6X9f7d3Lh5LlK5NB9dQ7u+qP1K+3zaI5vZ3k+z\n",
       "FtCyajnSc9Wk4e5Xy6Z11DxHamUtn+6vWZc245M+A5pvs6+U1p3N3kx6LzTvReXqOe01KleH2o+a\n",
       "PpDquXmn6TXNHkLae9F83Hsk3Z/bA9N+o/fv9jRVepe4PftUVq2z5n5TOZw0trp+pXXSvGtW/gYD\n",
       "AMCvgG8kAQAAAAAAAAAAAAAAwMzwQRIAAAAAAAAAAAAAAAB84oMkAAAAAAAAAAAAAAAAmJmZw+Fw\n",
       "iAHemhi6Kf5gE5c2xRBuYkOmOLWOxhfU2Hou3xQvtYnZmGInurilK/mkfDUuoIsdqHENU9xS177f\n",
       "EctWNfefYn02MQ5TbEhXds2niTucYkM2cTxTLEgthzsn9RF3v3tjn85sy59iyrpnIsUIdmXVc9Kx\n",
       "u5cU47uJk57ihTb56jVN26RYvq6eU99016S+qPXR5Kux111/1mtSnOmV+3VjXIq7m+IQuzQ03+Px\n",
       "GK9Jz6u7X82nqSN9d2q+6fczeQx3Y1xqiyambqrnZtzQNFbe+yvPbxOvO+W7Mt8AAOB30bzTm3VZ\n",
       "mrPoe9/N/XWu0OyRpP2b5r2v87hUrpntnEvn6TqPdXWm88VmLyqtB/Ve3PohcfWR5txpjemu0X0G\n",
       "t+ZIe29Nnek1en/N+mhlzy/tqzhprt+sW1TqIy4fLYeW3a05mn0Flcqv99vsVzbro7T3ppr1UrNH\n",
       "lNYpTR26siRpj0D7xMPDwyYN18eT1H5pDJzJe+ffUc/umdCxM41FM9u2SfvPzfOr7xLXd9Ozpvd7\n",
       "e3u7OacZj9XedbUrZ3rPu/6u+aa/jbh+lfYnm7/JpPdE2vOdWZuzpHSbeV1zv80YDgDAr4hvJAEA\n",
       "AAAAAAAAAAAAAMDM8EESAAAAAAAAAAAAAAAAfOKDJAAAAAAAAAAAAAAAAJgZPkgCAAAAAAAAAAAA\n",
       "AACAT4fD4fBRnHRy/PGxveT6+vrk+Pn5+eT46urq5Pj9/T3mc3FxcfbY5XN5eXk2H1d2vaa537e3\n",
       "t5Pj4/F4cvzy8nK2HG0+/9trtN5dWfRY85jZ1pHef0PL6vJRWjbtA5qGq2dXB+maVEfa31196DVa\n",
       "h65cr6+vJ8d6v5qPa3/9mabRPL96jh67suuzmMrupDp6enqK12hZ9fcz2+dzpW/e3NycHOv96+9n\n",
       "tn0itae2iyubHj8+Pm6u0bZIfdPdfzOWJun+tP/P5H7U1PNK2dM7zfUrLVt69lwaaUxzZU99wo1x\n",
       "Sp811xYqjTV6f/rcuXO0Dpt6XpGeeTffSO8SHZ9ub2/jOXp/7n61LVJ7N++FdAwAwO+keZemuUKz\n",
       "z6BzobR34fLRcrh5kZ6T5txN2Zv55HfML3T+pGm4OWqa16U560yec7t5YFrLaT4ujTQ3bOpdNWtZ\n",
       "LVvah3Blubu7OznWdWizr9Q8R24NkcqqtK20bGme79JIeygz3ZpKaR2ltnF9RNfI2s9cnWl7Pjw8\n",
       "nBw3a1mlZXNrd11np7Zx/SHtz7l20LFGz2nWpappm73rsqZvpv2dmfwcpT3tmfysNev09A7Tcriy\n",
       "rOydpz3d5t2Sns2ZPC4q11Zp3G/mKCkNNz5/x98o1Mo7rNmbSntPK/tZzfuXfRMAwO+KbyQBAAAA\n",
       "AAAAAAAAAADAzPBBEgAAAAAAAAAAAAAAAHzigyQAAAAAAAAAAAAAAACYmZnDxcXFJsDbd8TFW4kb\n",
       "l9Jwsfc0Zt1KGimepovzqDH7tBxNnNZURy4eXxMfNNG4pCkW6EyOFdjE4VVNn0nxQVNs35m12JCJ\n",
       "xu10cS9TDFV3v3o/2r7aVzWerEtj5RrtA3vjfM5s67Wp573xrRsu39RvtJ+5ZyLFwHb57o2r3MQ8\n",
       "VyvjhsYHdn1k5TlpYiKnfLVsTdxdrccUD9elmca4pl+lWNzOSmz5FA+2ud+V+L8pprnm29x/ipHt\n",
       "8vn/a86SyqH3P5P7hKtnbYvvKCuxfQEA+Jdmnrey/k3zDZ2jN3QevzK/VC4N/Vmzv5HW3c3aPXFr\n",
       "7L17QM08KK0nZrbtp/novM/VodZBml/PbOsg7SE082nlyqp1oOVo1m1uvfeVeyZSPaa1vEujmRvv\n",
       "bV9Hy5r21VxZUj6u7LoOSevDmW2/afZSE903a9ah6Zlwdfbnn3+eHD89PZ0cu33TtH/TjBta1uYa\n",
       "3RPRsjZ7UZqG3p+rozSmp+fbpZGeK0fvr3kPaFnTvstMvt+Vsiu3v6Vtkd6dbrzS/dbm/atW3oPN\n",
       "vuB35KP0Gu177vndO0fRe5vZPnvNmA4AwO+KbyQBAAAAAAAAAAAAAADAzPBBEgAAAAAAAAAAAAAA\n",
       "AHzigyQAAAAAAAAAAAAAAACYGT5IAgAAAAAAAAAAAAAAgE+Hy8vLj3TS5eXlyfHHR7xkXl9fTzM6\n",
       "HE6Ob29vN9c8Pz+fHL+/v8d8Ly5OPwtzdXV1cvzy8hLTuLm5OTl+e3s7e+zy0fvV3+u9uJ/pNU09\n",
       "a71qW2m5Zmaur69Pjh8fH8+m4cqq+TZl1XO07TRNd02qV3e/qa20/V26KvVvl+7T01O8JtWrK6tK\n",
       "/fd4PG6u0WdP+4DWR6ofx91vykfvf+WZaK5RWg7tq+4czbdp38Sdr+2Z6nA1n8SNi0rHGqXPUTP2\n",
       "pDF+JveB5n61zZuyqu/IN93/zP4+4cbJ9O5oxmfVjPHpWXPPXspX83HPhNaZ9tXmnb3Sz1IfaOY5\n",
       "ek7zzGv76v2vjJMAAPwqVubCys3R3Jzrq/SOd+nqO9zNAzSdNG91v09puLVAmj+m/YCZPDd06wtd\n",
       "Z6tUh06zDk3t18xJtV6b/RxNJ7XNd6xBGpqG61e676DXuH1CvR9d/6U9MXeO1qvri6kem+dM02ie\n",
       "ed3zSX2xWQ9rvm5P6J///OfZNLRc2pYz2+ezWR+ldbben9sT07Lo/bmy7h2fmuco7Qu7dPRYx7Nm\n",
       "fG7Gq7TfrG2XxtUZ/9yoNA42ZU9r9WZsTeVy+aZxwuWrY1ga85p3SzOmp3Sb/SulZW/mOWk/x92v\n",
       "3p/LJ12T8lnZS155DwIA8KviG0kAAAAAAAAAAAAAAAAwM3yQBAAAAAAAAAAAAAAAAJ/4IAkAAAAA\n",
       "AAAAAAAAAABmZuZwOBw2geI0Ht1KTEqNv9fEp0vxYF1MP42Dp2VNcSDdzzSm4ePj4+aavZq4h03M\n",
       "zRTHcSW+pKbp4oemGI2pvZuyfcf9uzT0flNfndner/bFFLvZla2JH5rK0aSRytrko1Ic5uacJn53\n",
       "StOVc2XcSP0mxfd2aTT3m5751O/cNU0dpTi0TVxpvUbTdHWU4nVrmi4WaooD7+53bx2txGpuYqym\n",
       "PtH0kWZM3/teaNq3iYGd8mnqOcUZdver56T3fDMGNveb+kCaj8ysvcP0HI35rfGrm/nGSsxgAAB+\n",
       "F828VueKbo9E5wKaRno/u2t0juLmwjo3Smsbt+bQfNP9OzqPX1nv61pe05zZ1pues1LPzZxUy6Z1\n",
       "kua5M3k96PJNfU/zaepM98DcXDjNYxtpX0nL4crS9KOkKXtqmybNtGZu1nZ713pOs5ZNa6a0xp7Z\n",
       "PhNpDJzx/fNcvs16SZ8JXS/NbNdUqZ+5cuo52n9dvlrWVGffsd8xs617zad5rlK96r3M5H2VZq2e\n",
       "nqMmDc03/d1jZm1/I733VvaS076aS0fP0ft1+Tb7oCo9J82+eNoXbNo3pek0zzgAAPh/+EYSAAAA\n",
       "AAAAAAAAAAAAzAwfJAEAAAAAAAAAAAAAAMAnPkgCAAAAAAAAAAAAAACAmZk5XFxcbALHpZh9TSy9\n",
       "lfihKXbgSnw+5WJyphiNLj6sxn5Mcf9cDGHNR+MAOilWbxMrMrWNsxKDcm+aTZ9IsSFdGlqvevzw\n",
       "8LC5RusoxZlu8m1iUaeYyCnOZXNOU1bX579qYoFqmk0cT9XEtWxibiYpjraT4na6Z+Tu7u7k+OfP\n",
       "n2fTbGJ0pli3M3kMX4lv3VyTxsEmPm4qazNupHFyJY0VTRzelZjBabxKz/PMNt5xM8alWLbp/Jlc\n",
       "z+4Z0LLqNU285zRXaOpdy6H1rL936WpZ3TWpLZq50cpcAQAA/IvO0Zq5YlqnNOsYfUen9bBLN5W1\n",
       "yXdl/qzHWtZmDpPWXC5dpffnzk/rMDfP1XR1Lqi/d3tRK+tuTSf1K7fm0P0sPcfdr6ab9qZcGt/R\n",
       "J/4dXL9KfU/rvannZq2zd55+PB43P9OyrLTN09NTvEZ9x5piZe9Nn4lmvZTGjWYfTdNI5WjKlvqZ\n",
       "07wX0vOqaWjfdWV5fHw8m+bM/r0Z14f0HF0zN+9BLXsai1xZtE6a5zcdr7zTGql93TOR9rxcX9xb\n",
       "VpdGKquro737c278SvtGLg/2TQAAvyu+kQQAAAAAAAAAAAAAAAAzwwdJAAAAAAAAAAAAAAAA8IkP\n",
       "kgAAAAAAAAAAAAAAAGBm+CAJAAAAAAAAAAAAAAAAPh1m5kN/eHFx+vmS9/f3k+PLy8tNQh8fm2TO\n",
       "XuPOf3t7Oy3c4XA2zZlc1qurq5iv/kzT0GNXNr2/Jo29ZXe0zvReNA93jnL5vr6+nhyn+9fznaZ9\n",
       "0/1onbk0r6+vz6bZtK9ek+q9KWvTNnqO/t49i6mt3P0q7QM3Nzcnx8/Pz5trtGx67PrVy8vLybGr\n",
       "k6+a56gZR7Qsmu5KH0lt5extb3eO3q+rw9QH0r24fPS5cs+8ll/z0TSbd0vzPtp7f67saYzTss/k\n",
       "MXulbzbPSOq/ms/xeNyk8fDwcDaNZrxq3vMqjUdNGmmMd2210r6p32i9Pj4+xjTSu8adk9rb0fvT\n",
       "NJt3NgAAvwp9D6bjmTy/bPYZ0hrE5atzEk3DvcN17ab5pDTdNU2+aV63suZo5mgqlbXJV8/R+eZM\n",
       "Xv8263+V1vJNvqpJo9mbSXPS1L9ntu2pax3tuzPbtkn9t9lrbPpzmrevrEtX6j2tD520TnP9Weug\n",
       "GZ9Uen5dn0h10jw3Kc1G2qtY2Vtt1vtp7drskTRjQirrd4wJ7vnV/pryadbDqa1m9u+bNfkq159v\n",
       "b2/PntOs5Vf27FO6er+uX2kd6ZjQjHGp3lf271x97J1PNXu6zZi39/0LAMCvgm8kAQAAAAAAAAAA\n",
       "AAAAwMzwQRIAAAAAAAAAAAAAAAB84oMkAAAAAAAAAAAAAAAAmJmZw+Fw2B3QbSU+XYqFOrONp6ix\n",
       "9Fy+3xGHN8UObGIlallX4iynGKwuH63XJobwSmzIFJe0iaeZYjauxKRsYicmzf2m/tvEl9Rzmnz1\n",
       "nOPxeHL89PS0SUPrRONafkc8TdcuKfa0e1Y1Nu/d3d3J8T//+c+YhmpiCOtYk+IBu/ZVzXOUYnpr\n",
       "fbhYzXrO8/Pz2XLMbMuv1+jvXfumftXE7m1imqum7lUqa1PPqT2bWLZp3GzGjRRj9u/KkvJRe99p\n",
       "Da1nN16lZ7HJdyUebjOm7c2neR9pW2g5XB1pPa7EEE7tSWxfAAD+pZkX6DvdzTfSnKTZM1hZUyo9\n",
       "p1kv3d/fnxw/PDzEsqa1ms77mrVds55I9djskaR5fDOfdmuKc3m4n93e3sY0096L3p9b/6c593fs\n",
       "zbh80zq0yTetbbWfzWzrRPtes0eic/LHx8ez5ZzJ68Fm3a1SP2vySeWayfux7plI6bqxxtX9V804\n",
       "oefoc6R9ZCbvgTTr4fQsNnvYWg7tZ67O0nvBjXHpfvW5afJt3iV7NWNtszeT6jm190zeM1jZ32r2\n",
       "ztMeUPP86v2m/VpXNq1DN7am8ajZF9Z+pPerz4TLd+/fhtw1TduwbwIA+F3xjSQAAAAAAAAAAAAA\n",
       "AACYGT5IAgAAAAAAAAAAAAAAgE98kAQAAAAAAAAAAAAAAAAzwwdJAAAAAAAAAAAAAAAA8OlwOBw+\n",
       "9IcfHx960krCZ9PU45mZy8vLeI56f38/Ob66utpVjpmZt7e3k+Pj8Xhy/PDwEMuayqF5uLLoseYx\n",
       "M3NxcfrZn9fX180559J0NE3X3no/Ly8vZ9PQ+mjK4u5XaT5NX9WyaFvc3NxsrtH707JpvV9fX8c0\n",
       "mrLq/elxKleTT1NHmkbzTGi6qc/MbOtN20bTdP0qPYuubVKfSOe7fDWf5+fns2m6dF1ZlZa1SUPL\n",
       "qmVr6lk1z3wqx8rz24yTWkdaJ/r8urFJ++/KNansWofNNY5L51waro/o/TXtm8YWzdc9Z1pnzTsu\n",
       "vW9Vek/ObOvEpfn09HRynNrGtYteo/fSvAf1mmaeszInAwDgd9Hsd6R35crarslD5zFNWdMaK80l\n",
       "XFlub293l1XvV8vRzD9W1rJpz8BJaTRrjrROadbuaZ3m6DmaT7MXpX3Grd3TunvvXtXMdi/G5Zv2\n",
       "q5pnZGVPM+0BrazTNE13v1rWtC5r1nbNWj2tmZt1SlrrOHvX3StjbbM/qenqc5PWnDP/vr6418p+\n",
       "e/P8ah9p1pRpbybtLTtp7HHnaL7NOlzrIO1XzmzHNL2m6Vdpf7K535X34sp7Id1vM99I75amrCv7\n",
       "Hd/x7gQA4HfBN5IAAAAAAAAAAAAAAABgZvggCQAAAAAAAAAAAAAAAD7xQRIAAAAAAAAAAAAAAADM\n",
       "zMxhZjYB3lIc2ibeYorH52JUptiYTezedNzE9VSurCner8YQbmKDrsQMTnEtm3y1Tly8xb1xDldi\n",
       "FzexQlPMQldnKfaluybV4/F4PDl+eHj4mxL/fb4u5miKh6u+Kz7j3nxcrEitE43v7PJI8Y31OXp8\n",
       "fNykofWaYtu6c1QTczU9e98Rt9RJY5xLY2/7unEj1etKrN+m/6Z3SxNrXN8t2jdX8m3qaG+5XLp6\n",
       "juvP+rM0xjVtpfm6eLh74+42cWmVi/md7reJx57e4c18I81Zmr7ZvKNT7N6mnvfOlQAA+J2szMGb\n",
       "9e9ebm6Y1rsreyRNvjpH0TTcHE3nQnqs17j55d59JVe2vXM2p9kj0XRW1nZpT6Qpa1oP6pp6Zubp\n",
       "6Smmq9L8ubnf1L7NNWmfwaWZ+m+zN5P2El0amk+zDtVrUj0399uMG2lN1exVpbWOq0M95+bm5uRY\n",
       "+6rLV5/xZm2zt16bsTY9I+4cpfms7EevtO/KXkVzTdpLXBkT9P5X1v9p72Im93nXvulZa/YDdG+1\n",
       "+dtIqreV/Z3mPajppHp1ZU/16sYNrRNNQ8cR11auDlJZ2TcBAPyu+EYSAAAAAAAAAAAAAAAAzMzM\n",
       "4eLiYvNxyr2foLUJh//Iaf5T131iVKVPuzafGFbNf4CnT/vqfxGsfCOJq6NUr839pU+4r3yKXDX/\n",
       "nbDyLSYpjabO9FPH3/WtAHu5/wxK5Uj/NeB+pvfv7jfVSfpGmpnt/eh/2zSf8E/fILTyLRCurfa2\n",
       "ZzNeqaas9/f3J8daZ+4/K/b+p4G7Rsen5j/StA5cPilfPV4Zr/TYPUf6DUHNf5uo9J9CzX8GpW+O\n",
       "aP5rbeXd0fw3oFr55qb0vGo53H/g7f3PN/ezVO/NfwqtfDNIuqb5j7vmG4XSM7Dy33J8IwkAAH+v\n",
       "+XaRZo8kzevSf9TO5P/O1/9cnum+GfKr5hscm/94T3svei9uLpy+OaLZM0j12sy3mm8+Tf+N/x3f\n",
       "POfmz3vXC66e039rN99ykZ6BZh7ffGPF3nI03wLRfKNBKsvKfLpZQ6e+t7JOa36/99s13fnar9Kz\n",
       "6dJN9+vyTeth1yfSflz6toKZtb1zPSd9a43rM82aOZVVj7U+mr2a5h2W1u4r37rUfDtOWkM396f5\n",
       "3t3dnRy7b6ZO34zRfCtR2r9y43PaV1n59nK9xvXFdD97v3W7ScOlo3Wkz+/KtyF/x74/AAC/Cr6R\n",
       "BAAAAAAAAAAAAAAAADPDB0kAAAAAAAAAAAAAAADwiQ+SAAAAAAAAAAAAAAAAYGb4IAkAAAAAAAAA\n",
       "AAAAAAA+HQ6Hw4f+8OPjQ086+3vn8vJydxpvb29n07y5uYnXvL+/n83X0Wu07E1ZHh8f4zXq4uL8\n",
       "53i0XO6aVGe3t7cxXU3D3b+2l6ah5XLtq9c0/UjT1TT0/l5fX2Oarl5V6r9aZ66fpefIlUPPubq6\n",
       "OjnW+3N9SMt2PB5Pjp+fnzfXpGdAf399fb1J4+np6eS4efbUyljT9L2UT+rPzbOox64vprKm/u3S\n",
       "TWNAk29zvyttszcNN8ZrWZoxXs/R50ifgaav6jOx8h5sxh5tzzSOONpv9Nl0z2/qR03ZVXrHzeRn\n",
       "0b2P9BnQNJqxdmWeo/eT8nVjgNZ9au+ZbR2k949rX+3ze+cSAAD8ylbWLWmdNpPngjr3de/jNL9o\n",
       "1gtp7qT34srarEPTmiKtudw5en9uLZvmQi8vLyfH7n617vXYlTXNH9PxzPb+mj2T1BZNPa/MBVN/\n",
       "1rK6ebz+LM1RXdnSHtDd3d0mjZ8/f25+tleakzf0mde+OZPXmSvr8LSOmcnPTdM3V+ooran0eXVr\n",
       "u2Z/TqXnZmV9qOVoxpqV/Wjt881eRXpn6TVuTZnqyD2/uhfR7BEoLbv2TfcedM/WV83eW9rnd/eS\n",
       "9tqafcPUf5tnb+VvI66/ftW8f9PeudvzS/v47plP41UzFjVji2re6wAA/Ir4RhIAAAAAAAAAAAAA\n",
       "AADMDB8kAQAAAAAAAAAAAAAAwCc+SAIAAAAAAAAAAAAAAICZmTlcXl5uArppjLeV2HopVmQTF1Fj\n",
       "m7p4fJpuikfoYt4dj8eTY42tBgfgdwAAB61JREFU18QqVitx8jTGn8s33V+KT+iuSTGTXVn0nCb+\n",
       "oP4sxTSc2cYsTDGiXTzR1FauT+g1KZ6165tKy+aegRTHU9u/eRa17C7WaYqPqmVdiQ/b9MXEta+W\n",
       "pYnDm+Jaar9z+aY6a2KN6/1r+zdxw5vYvWlcWIlXrtz9ah2l56aJid3km+pV29PFZE0xhF1//ne8\n",
       "F5o42uo74junOMQu3fT75v6b8UqtxIhOZWvi46Z+1IxXqnkfrdRrGsOb+wUA4FfRrJnVyp7I3rW7\n",
       "ex+7ue5Xbh6b0tByNGtZnZO5a9zc56u0BpvJ9ery0HmqllXr9fb2dpPGw8PDyXFaC8zk9V9aC81s\n",
       "y96sQ1N7rfQrXXM1azu9/2bdkvaiUh9y9P5cv0r326x/09y/qTNNw/V3LX969ly/SmtX15/TGkrr\n",
       "rFnrrOyBpXHT3a/WSTNeN3sg6fepjpq2SWs593sdw7QO3TOfnk/9/dPT0yaN1H+bdenKnn0aa1y+\n",
       "2ifS/nPzTl9576f30cp+dDPGpT36pp5XpPZs9labOdreOmqe36Y/f0cdAQDwfxHfSAIAAAAAAAAA\n",
       "AAAAAICZ4YMkAAAAAAAAAAAAAAAA+MQHSQAAAAAAAAAAAAAAADAzM4fb29tNgLcUl7SJt6iaGKRJ\n",
       "E9NOz2ni8DYx+1SKa9mkka5xcUtTXGVNw8W1TDFWXWzXFF+xsRJLMNVJEztRy6rnuL6r9abXaB06\n",
       "Kc7ySn/WfF0fSbEh3fOr+WhZ9RrX/ntj6rpzNI2Vfqdt1VyTnpv7+/vNNakvrsTTTO09M/P4+Hj2\n",
       "mibOcmorJ92vk57Ppq3SGNDEZk73756JlKaTYm8r93ttz5V3Sfq9a7uV+N3p3dnE/03XNP05aeYb\n",
       "mo+L6Z40Y3waJ9yYnmLWNzGT07Pm5goAAPyqmjWkSvOpZo3V7E0kmqabb6S5QVN2naOlPQSXbtoD\n",
       "aubgmqbbq9B8VvZZ0hytqec052zmaFpWNydN/VfL0dxvsz5K7bt3LeTSbPZI0v5O01aqWXOl58ql\n",
       "kfJtnr10v278Sm3VlDU9E64/r6yzdT/O9ddkb9ndOWmvzfVnvWZlDyz132aP5N+xhnbnp72nZtxI\n",
       "99+UU89x74Wm733lnon07DX3+/+1dzfLacMAFEY/mvd/5dCNFq3DVEJjQyY9Z5cA+rWMrbljjlbm\n",
       "d1bGzr73rB31/LXDSrk7Zazsb+ysgVk9RzvXGwDwU3kiCQAAAAAAAAAAlSAJAAAAAAAAAACDIAkA\n",
       "AAAAAAAAAJUgCQAAAAAAAAAAw+3j4+P+5Z+3219/3+9f3vLFr1//zqQcyzjWsfqeV1jp/2xMVto+\n",
       "6++jOmblHl///Pycvmdnfo/l7vR3xbNtXTmujh4du4/GbVbPrIzjZ3bWwM7c7Yz7cUyOZewcm7Mx\n",
       "fVTGGWtipf+zdfPoGNlZv8+241Hfzjg2d+z052hnrs6Ym1mZZ/Rtp9yV/r7qe/CMc+vOuF41F8/W\n",
       "e3TV8T7r78r1xhXraOX8DAA/1avu3V9xPX1VPbP9gJV2XHG/tFLOd7ne3Ln237mHPjpjv+dRPa+a\n",
       "36Mr9oTOOAesfGbFFeN4xn7sVfd2s72nFWe0fWcPbOczM2d8t+ysgZ22rdTxXc4bV9hZEytl7PTn\n",
       "2XF71zGy4oxzzbu+SwDgp/JEEgAAAAAAAAAAKkESAAAAAAAAAAAGQRIAAAAAAAAAAKq63W43P/AG\n",
       "APCf8lu/AAAAAADAnzyRBAAAAAAAAACASpAEAAAAAAAAAIBBkAQAAAAAAAAAgKpu1f3djQAAAAAA\n",
       "AAAA4P08kQQAAAAAAAAAgEqQBAAAAAAAAACAQZAEAAAAAAAAAIBKkAQAAAAAAAAAgEGQBAAAAAAA\n",
       "AACASpAEAAAAAAAAAIBBkAQAAAAAAAAAgEqQBAAAAAAAAACAQZAEAAAAAAAAAIBKkAQAAAAAAAAA\n",
       "gEGQBAAAAAAAAACASpAEAAAAAAAAAIBBkAQAAAAAAAAAgEqQBAAAAAAAAACAQZAEAAAAAAAAAIBK\n",
       "kAQAAAAAAAAAgEGQBAAAAAAAAACASpAEAAAAAAAAAIBBkAQAAAAAAAAAgEqQBAAAAAAAAACAQZAE\n",
       "AAAAAAAAAIBKkAQAAAAAAAAAgEGQBAAAAAAAAACASpAEAAAAAAAAAIBBkAQAAAAAAAAAgEqQBAAA\n",
       "AAAAAACAQZAEAAAAAAAAAIBKkAQAAAAAAAAAgEGQBAAAAAAAAACASpAEAAAAAAAAAIBBkAQAAAAA\n",
       "AAAAgEqQBAAAAAAAAACAQZAEAAAAAAAAAIBKkAQAAAAAAAAAgEGQBAAAAAAAAACASpAEAAAAAAAA\n",
       "AIBBkAQAAAAAAAAAgEqQBAAAAAAAAACAQZAEAAAAAAAAAIBKkAQAAAAAAAAAgEGQBAAAAAAAAACA\n",
       "SpAEAAAAAAAAAIBBkAQAAAAAAAAAgEqQBAAAAAAAAACAQZAEAAAAAAAAAIBKkAQAAAAAAAAAgEGQ\n",
       "BAAAAAAAAACASpAEAAAAAAAAAIBBkAQAAAAAAAAAgEqQBAAAAAAAAACAQZAEAAAAAAAAAIBKkAQA\n",
       "AAAAAAAAgEGQBAAAAAAAAACASpAEAAAAAAAAAIBBkAQAAAAAAAAAgEqQBAAAAAAAAACA4TfYDuM1\n",
       "t5sDlAAAAABJRU5ErkJggg==\n",
       "\" transform=\"translate(161, 218)\"/>\n",
       "</g>\n",
       "</svg>\n"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test = Ψ * image3D\n",
    "imshow(mean(test, dims = 4)[..,1,1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Total Variance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "_second_order_finite_differences! (generic function with 1 method)"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function _finite_differences!(Δx, x, d)\n",
    "    last = size(Δx, d)\n",
    "    𝟘 = zero(eltype(x))\n",
    "    for i in axes(Δx, d)\n",
    "        if i != last\n",
    "            selectdim(Δx, d, i) .= selectdim(x, d, i) .- selectdim(x, d, i+1)\n",
    "        else\n",
    "            selectdim(Δx, d, i) .= 𝟘\n",
    "        end\n",
    "    end\n",
    "end\n",
    "function _second_order_finite_differences!(Δx, x, d, overwrite)\n",
    "    last = size(Δx, d)\n",
    "    𝟘, 𝟙 = zero(eltype(x)), one(eltype(x))\n",
    "    for i in axes(Δx, d)\n",
    "        if overwrite\n",
    "            if i == 1\n",
    "                selectdim(Δx, d, i) .= -𝟙 .* selectdim(x, d, i)\n",
    "            elseif i != last\n",
    "                selectdim(Δx, d, i) .= selectdim(x, d, i) .- selectdim(x, d, i-1)\n",
    "            else\n",
    "                selectdim(Δx, d, i) .= 𝟘\n",
    "            end\n",
    "        else\n",
    "            if i == 1\n",
    "                selectdim(Δx, d, i) .-= selectdim(x, d, i)\n",
    "            elseif i != last\n",
    "                selectdim(Δx, d, i) .+= selectdim(x, d, i) .- selectdim(x, d, i-1)\n",
    "            end\n",
    "        end\n",
    "    end\n",
    "    Δx\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "A  ℝ^(300, 224, 48, 4) -> ℝ^(300, 224, 48, 3, 4) "
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "TV = MyLinOp(imType, imSize, (imSize[1:3]..., 3, imSize[end]),\n",
    "    (∇, image) -> begin\n",
    "        Threads.@threads for i in 1:imSize[end]\n",
    "            for d in 1:ndims(image)-1\n",
    "                @views _finite_differences!(∇[..,d, i], image[..,i], d)\n",
    "            end\n",
    "        end\n",
    "        ∇\n",
    "    end,\n",
    "    (∇, image) -> begin\n",
    "        Threads.@threads for i in 1:imSize[end]\n",
    "            for d in 1:ndims(∇)-1\n",
    "                @views _second_order_finite_differences!(∇[..,i], image[..,d, i], d, d == 1) \n",
    "            end\n",
    "        end\n",
    "        ∇\n",
    "    end)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Nonlinear Conjugate Gradient Descent with backtracking linear search\n",
    "\n",
    "**Inputs**:\n",
    " - `y`: k-space measurements\n",
    " - `m_0`: initial value for reconstructed image\n",
    " - `f`: objective / cost function\n",
    " - `∇f`: gradient of objective\n",
    " - `tolGrad`: stopping criteria by gradient magnitude (optional, default: $10^{-4}$)\n",
    " - `maxIter`: stopping criteria by number of iterations (optional, default: $100$)\n",
    " - `lineSearchMaxIter`: stopping criteria for linear search (optional, default: $150$)\n",
    " - `initial_t₀, α, β`: line search parameters (optional, defaults: `initial_t₀`: $1$, `α`: $0.05$, `β`: $0.6$)\n",
    "\n",
    "**Outputs**\n",
    " - `m`: numerical approximation for the image"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "ncg_optimize (generic function with 1 method)"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function ncg_optimize(m₀, f, ∇f!; tolGrad = 1e-4, maxIter = 100, lineSearchMaxIter = 150,\n",
    "        α = 0.05, β = 0.6, initial_t₀ = 1, verbose = false)\n",
    "    \n",
    "    # Initialization\n",
    "    dType = eltype(m₀)\n",
    "    mₖ, gradₖ, temp, t₀ = copy(m₀), ∇f!(similar(m₀), m₀), similar(m₀), initial_t₀\n",
    "    gradₖ₊₁ = similar(gradₖ)\n",
    "    α, β = convert(real(dType), α), convert(real(dType), β)\n",
    "    Δmₖ = -gradₖ\n",
    "    f_vec, NMSE_vec = [OffsetVector{real(dType)}(undef, 0:maxIter) for _ in 1:2]\n",
    "    f_vec .= NaN\n",
    "    NMSE_vec .= NaN\n",
    "    f_vec[0], NMSE_vec[0] = f(m₀), mse(m₀)\n",
    "\n",
    "    # Iterations\n",
    "    for k in 1:maxIter\n",
    "\n",
    "        # Backtracking line-search\n",
    "        f₀ = f(mₖ)\n",
    "        t = t₀\n",
    "        lsiter = 0\n",
    "        f_vec[k] = f(temp .= mₖ .+ t.*Δmₖ)\n",
    "        while f_vec[k] - f₀ > -α*t*abs(vec(gradₖ)'*vec(Δmₖ))\n",
    "            lsiter += 1\n",
    "            t *= β\n",
    "            if lsiter == lineSearchMaxIter\n",
    "                println(\"Reached max line search,.... not so good... \"*\n",
    "                    \"might have a bug in operators. exiting... \")\n",
    "                return mₖ, f_vec, NMSE_vec\n",
    "            end\n",
    "            f_vec[k] = f(temp .= mₖ .+ t.*Δmₖ)\n",
    "        end\n",
    "\n",
    "        # Control the number of line searches by adapting the initial step search\n",
    "        if lsiter > 2\n",
    "            t₀ *= β\n",
    "        elseif lsiter < 1\n",
    "            t₀ /= β\n",
    "        end\n",
    "\n",
    "        # Step along the selected direction\n",
    "        mₖ .+= t.*Δmₖ\n",
    "\n",
    "        NMSE_vec[k] = mse(mₖ)\n",
    "        verbose &&\n",
    "            println(\"$k, objective: $(f_vec[k]), NMSE: $(NMSE_vec[k]) line-search iterations: $lsiter\")\n",
    "\n",
    "        # Conjugate gradient calculation\n",
    "        ∇f!(gradₖ₊₁, mₖ)\n",
    "        γ = norm₂²(gradₖ₊₁) / norm₂²(gradₖ)\n",
    "        gradₖ .= gradₖ₊₁\n",
    "        Δmₖ .= -gradₖ .+ γ .* Δmₖ\n",
    "\n",
    "        norm(gradₖ) < tolGrad && break\n",
    "\n",
    "    end\n",
    "    \n",
    "    mₖ, f_vec, NMSE_vec\n",
    "    \n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Optimized Proximal Gradient Method\n",
    "\n",
    "**Inputs:**\n",
    " - `x₀`: initial guess for minimizer\n",
    " - `f`: convex and smooth function with Lipshitz gradient $L$\n",
    " - `∇f`: gradient of function `f`\n",
    " - `g`: convex but non-smooth function\n",
    " - `prox_g`: proximity operator of function `g`\n",
    " - `maxIter`: number of iterations\n",
    " - `t`: step-size (ideally equal to $\\frac{1}{L}$)\n",
    " - `restart`: reset $\\theta_k$ to initial value if cost increases\n",
    " \n",
    "**Initialization:** $\\theta_0 = \\zeta_0 = 1, t = 0.5$\n",
    "\n",
    "for $k = 1, 2, ... , N$ do\n",
    "\n",
    " - $y_k \\leftarrow x_{k-1} - t \\nabla f(x_{k-1})$\n",
    " - $\\theta_k \\leftarrow \\begin{cases} \\frac{1+\\sqrt{1 + 4\\theta_{k-1}^2}}{2} : k < N \\\\ \\frac{1+\\sqrt{1 + 8\\theta_{k-1}^2}}{2} : k = N \\end{cases}$\n",
    " - $z_k \\leftarrow y_k + \\frac{\\theta_{k-1}-1}{\\theta_k}(y_k - y_{k-1}) + \\frac{\\theta_{k-1}}{\\theta_k}(y_k - x_{k-1}) + t \\frac{\\theta_{k-1}-1}{\\gamma_{k-1} \\theta_k}(z_{k-1} - x_{k-1})$\n",
    " - $\\gamma_k \\leftarrow t \\frac{2\\theta_{k-1} + \\theta_{k-1} - 1}{\\theta_k})$\n",
    " - $x_k \\leftarrow prox_{g}(z_k, \\gamma_k)$\n",
    "\n",
    "end for \n",
    "\n",
    "**output:** $x_N$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "POGM (generic function with 1 method)"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function POGM(x₀, f, ∇f!, g, prox_g!; N = 10, L = 1, restart = true, verbose = false)\n",
    "    \n",
    "    dType = eltype(x₀)\n",
    "    θₖ₋₁ = γₖ₋₁ = one(real(dType))\n",
    "    xₖ, xₖ₋₁, yₖ₋₁, yₖ, zₖ₋₁, zₖ, temp = [copy(x₀) for _ in 1:7]\n",
    "    t = convert(real(dType), 1/2L)\n",
    "    \n",
    "    f_vec, g_vec, NMSE_vec = [OffsetVector{real(dType)}(undef, 0:N) for _ in 1:3]\n",
    "    f_vec[0], g_vec[0], NMSE_vec[0] = f(xₖ₋₁), g(xₖ₋₁), mse(xₖ₋₁)\n",
    "    if verbose\n",
    "        println(\"k = 0, consistency = $(f_vec[0]), regularization: $(g_vec[0]), NMSE: $(NMSE_vec[0]), θₖ: $θₖ₋₁\")\n",
    "    end\n",
    "    \n",
    "    for k in 1:N\n",
    "        yₖ .= xₖ₋₁ .- t .* ∇f!(temp, xₖ₋₁)\n",
    "        θₖ = (1 + √(1 + (k < N ? 4 : 8)*θₖ₋₁^2))/2\n",
    "        @. zₖ = yₖ + (θₖ₋₁-1)/θₖ * (yₖ - yₖ₋₁) + θₖ₋₁/θₖ * (yₖ - xₖ₋₁) +\n",
    "                t * (θₖ₋₁-1)/(γₖ₋₁*θₖ) * (zₖ₋₁ - xₖ₋₁)\n",
    "        γₖ = t*(2θₖ₋₁ + θₖ₋₁ - 1)/θₖ\n",
    "        prox_g!(xₖ, zₖ, 1)\n",
    "        \n",
    "        f_vec[k], g_vec[k], NMSE_vec[k] = f(xₖ), g(xₖ), mse(xₖ)\n",
    "        if verbose\n",
    "            println(\"k: $k, consistency: $(f_vec[k]), regularization: $(g_vec[k]), NMSE: $(NMSE_vec[k]), θₖ: $θₖ\")\n",
    "        end\n",
    "        \n",
    "        if restart && f_vec[k] + g_vec[k] > f_vec[k - 1] + g_vec[k - 1]\n",
    "            θₖ₋₁ = θₖ = one(real(dType))\n",
    "            verbose && println(\"   Restarted!\")\n",
    "        end\n",
    "        \n",
    "        xₖ₋₁, yₖ₋₁, zₖ₋₁, xₖ, yₖ, zₖ = xₖ, yₖ, zₖ, xₖ₋₁, yₖ₋₁, zₖ₋₁\n",
    "        θₖ₋₁, γₖ₋₁ = θₖ, γₖ\n",
    "    end\n",
    "    \n",
    "    xₖ, f_vec .+ g_vec, NMSE_vec\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "power_method! (generic function with 1 method)"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function power_method!(x, op, maxIter)\n",
    "    λₘₐₓ = Inf\n",
    "    for i in 1:maxIter\n",
    "        mul!(x, op, x)\n",
    "        λₘₐₓ = norm(x, 2)\n",
    "        x ./= λₘₐₓ\n",
    "    end\n",
    "    λₘₐₓ\n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Run reconstructions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "λ₁ = convert(real(imType), 0.0005)     # Weight for Transform L1 penalty\n",
    "λ₂ = convert(real(imType), 0.0002)      # Weight for TV penalty\n",
    "\n",
    "temp₁, temp₂, temp₃, temp₄ = Fᵤ * image4D, Ψ * image4D, TV * image4D, similar(image4D)\n",
    "f_ncg(x) = norm₂²(mul!(temp₁, Fᵤ, x) .-= y) +\n",
    "    λ₁ * norm₁(mul!(temp₂, Ψ, x)) + λ₂ * norm₁(mul!(temp₃, TV, x))\n",
    "∇f_ncg!(b, x) = begin\n",
    "    mul!(temp₁, Fᵤ, x)\n",
    "    temp₁ .-= y\n",
    "    mul!(b, Fᵤ', temp₁)\n",
    "    b .*= 2\n",
    "    \n",
    "    mul!(temp₂, Ψ, x)\n",
    "    ∇norm₁!(temp₂)\n",
    "    mul!(temp₄, Ψ', temp₂)\n",
    "    temp₄ .*= λ₁\n",
    "    b .+= temp₄\n",
    "    \n",
    "    mul!(temp₃, TV, x)\n",
    "    ∇norm₁!(temp₃)\n",
    "    mul!(temp₄, TV', temp₃)\n",
    "    temp₄ .*= λ₂\n",
    "    b .+= temp₄\n",
    "    #2 * Fᵤ' * (Fᵤ * x - y) + λ₁ * Ψ' * ∇norm₁(Ψ * x) + λ₂ * TV' * ∇norm₁(TV * x)\n",
    "end\n",
    "\n",
    "@time image4D_ncg, f_vec_ncg, NMSE_vec_ncg = ncg_optimize(image4D_zf, f_ncg, ∇f_ncg!,\n",
    "    tolGrad = 1e-30, maxIter = 500, lineSearchMaxIter = 150, α = 0.01, β = 0.6, verbose = false);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "pos(x) = x < 0 ? zero(x) : x\n",
    "Λ!(v, p) = @. v = sign(v) * pos(abs(v) - p)\n",
    "\n",
    "λ₁ = convert(real(imType), 0.0005)     # Weight for Transform L1 penalty\n",
    "λ₂ = convert(real(imType), 0.0002)      # Weight for TV penalty\n",
    "\n",
    "prox_tv = pyimport(\"prox_tv\")\n",
    "temp₁, temp₂, temp₃, temp₄ = Fᵤ * image4D, Ψ * image4D, TV * image4D, similar(image4D)\n",
    "f_pogm(x) = norm₂²(mul!(temp₁, Fᵤ, x) .-= y)\n",
    "∇f_pogm!(b, x) = begin\n",
    "    #2 * Fᵤ' * (Fᵤ * x - y)\n",
    "    mul!(temp₁, Fᵤ, x)\n",
    "    temp₁ .-= y\n",
    "    mul!(b, Fᵤ', temp₁)\n",
    "    b .*= 2\n",
    "end\n",
    "g_pogm(x) = λ₁ * norm(mul!(temp₂, Ψ, x), 1) + λ₂ * norm(mul!(temp₃, TV, x), 1)\n",
    "prox_g_pogm!(b, x, γ) = begin\n",
    "    @time for i in 1:imSize[end]\n",
    "        @views temp₄[..,i] .= prox_tv.tvgen(x[..,i], (γ*λ₂, γ*λ₂, γ*λ₂), (1, 2, 3), (1, 1, 1))\n",
    "    end\n",
    "    @time mul!(b, Ψ', Λ!(mul!(temp₂, Ψ, temp₄), γ * λ₁))\n",
    "end\n",
    "\n",
    "#b = similar(image2D_zf)\n",
    "#λₘₐₓ = power_method!(b, Fᵤ' * Fᵤ, 10)\n",
    "\n",
    "@time image4D_pogm, f_vec_pogm, NMSE_vec_pogm = POGM(image4D_zf, f_pogm, ∇f_pogm!, g_pogm, prox_g_pogm!,\n",
    "    N = 500, L = 1, verbose = false);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "image2D = mean(image4D, dims = 4)[..,1,1]\n",
    "imshow(image2D ./ maximum(image2D))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "image2D_zf = mean(image4D_zf, dims = 4)[..,1,1]\n",
    "imshow(image2D_zf ./ maximum(image2D_zf))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "image2D_ncg = mean(image4D_ncg, dims = 4)[..,1,1]\n",
    "imshow(image2D_ncg ./ maximum(image2D_ncg))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "image2D_pogm = mean(image4D_pogm, dims = 4)[..,1,1]\n",
    "imshow(image2D_pogm ./ maximum(image2D_pogm))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "mse(image4D_zf), mse(image4D_ncg), mse(image4D_pogm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "plot(f_vec_ncg, label=\"NCG\")\n",
    "plot!(f_vec_pogm, label=\"POGM\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "plot(NMSE_vec_ncg, label=\"NCG\")\n",
    "plot!(NMSE_vec_pogm, label=\"POGM\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 1.5.2",
   "language": "julia",
   "name": "julia-1.5"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}