Practice Design Graph With Shortest Path Calculator
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Design Graph With Shortest Path Calculator
Graph(n,edges) stores directed weighted edges [from,to,cost]. addEdge(edge) adds a previously absent directed edge. shortestPath(node1,node2) returns minimum total cost or -1 when unreachable. Edge costs are positive; parallel edges and self-loops are absent. Practice approach: Use an adjacency list and Dijkstra's algorithm per query. For only 100 nodes, all-pairs distances with Floyd-Warshall are another option; after an insertion, update paths through the new edge. A route is directed, so reverse reachability is not implied. Test an unreachable pair becoming reachable after insertion.
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Understanding the Design Graph With Shortest Path Calculator Problem
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Problem Statement
Graph(n,edges) stores directed weighted edges [from,to,cost]. addEdge(edge) adds a previously absent directed edge. shortestPath(node1,node2) returns minimum total cost or -1 when unreachable. Edge costs are positive; parallel edges and self-loops are absent. Practice approach: Use an adjacency list and Dijkstra's algorithm per query. For only 100 nodes, all-pairs distances with Floyd-Warshall are another option; after an insertion, update paths through the new edge. A route is directed, so reverse reachability is not implied. Test an unreachable pair becoming reachable after insertion.
Source: Design Graph With Shortest Path Calculator on LeetCode. Use the original task for its coding environment and submissions.
Design Graph With Shortest Path Calculator
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Examples
# Example 1
["Graph","shortestPath","shortestPath","addEdge","shortestPath"] [[3,[[0,1,4],[1,2,3]]],[0,2],[2,0],[[2,0,2]],[2,1]]
[null,7,-1,null,6]
The added directed edge enables 2→0→1 with total cost 6.
Constraints
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