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Weighted Shortest Path

BeginnerDijkstra practice · C++17Best score: not submitted

Client-side educational grading. Submit runs your C++17 program against ten predefined tests in your browser. Tests are intentionally visible through See Hidden Tests. Scores are local practice records, not secure competition results.

main.cpp · C++17

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Submission results

Ten tests, ten points each. Output is checked against the expected answer. Custom runs never change your score.

Each test has a 5-second execution limit, 256 MiB linked program WASM memory maximum, and 1 MiB combined output limit. Allocated WASM memory is not peak browser memory. Deep recursion can overflow the WASM stack; an iterative traversal is safer for long paths.

Problem statement

You are given an undirected graph with N vertices and M weighted edges. Find the minimum total weight of a path from S to T. If T is unreachable, print -1. Self-loops and repeated edges are allowed.

Input format

First line: N M. Next M lines: U V W. Last line: S T.

Output format

Print the shortest distance or -1.

Constraints

  • 1 ≤ N ≤ 100000
  • 0 ≤ M ≤ 200000
  • 1 ≤ U, V, S, T ≤ N
  • 0 ≤ W ≤ 10^9
  • Use 64-bit integers for route costs.

Sample input

5 6
1 2 4
1 3 2
3 2 1
2 4 5
3 5 10
4 5 2
1 5

Sample output

10

Sample explanation

The path 1 → 3 → 2 → 4 → 5 has total weight 2 + 1 + 5 + 2 = 10.

Need a hint?

Dijkstra with a min-priority queue. Expected complexity: O((N + M) log N).

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