Fixed dijkstra implementation bug: improved time from exponential to O(E * logV) #848
Add this suggestion to a batch that can be applied as a single commit.
This suggestion is invalid because no changes were made to the code.
Suggestions cannot be applied while the pull request is closed.
Suggestions cannot be applied while viewing a subset of changes.
Only one suggestion per line can be applied in a batch.
Add this suggestion to a batch that can be applied as a single commit.
Applying suggestions on deleted lines is not supported.
You must change the existing code in this line in order to create a valid suggestion.
Outdated suggestions cannot be applied.
This suggestion has been applied or marked resolved.
Suggestions cannot be applied from pending reviews.
Suggestions cannot be applied on multi-line comments.
Suggestions cannot be applied while the pull request is queued to merge.
Suggestion cannot be applied right now. Please check back later.
Description
The previous implementation incorrectly defined prio as BTreeMap<V, E>, causing this line:
while let Some((vertex, path_weight)) = prio.pop_first() {
to select elements with the smallest vertex instead of the smallest path_weight potentially leading to exponential time complexity.
I replaced BTreeMap<V, E> with BTreeSet<(E, V)> and added code to remove old entries, which was missing in the previous implementation using heap: #162
Type of change
Please delete options that are not relevant.
Checklist:
cargo clippy --all -- -D warnings
just before my last commit and fixed any issue that was found.cargo fmt
just before my last commit.cargo test
just before my last commit and all tests passed.mod.rs
file within its own folder, and in any parent folder(s).DIRECTORY.md
with the correct link.COUNTRIBUTING.md
and my code follows its guidelines.