Solution: Path with Maximum Probability
Explore how to find the path with the highest probability in an undirected weighted graph. Understand graph construction, probability updates, and the use of a max heap to efficiently solve this problem. Learn the algorithmic steps and complexity analysis to prepare for coding interviews focusing on graph problems.
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Statement
You are given an undirected weighted graph of n nodes, represented by a 0-indexed list, edges, where edges[i] = [a, b] is an undirected edge connecting the nodes a and b. There is another list succProb, where succProb[i] is the probability of success of traversing the edge edges[i].
Additionally, you are given two nodes, start and end. Your task is to find the path with the maximum probability of success to go from start to end and return its success probability. If there is no path from start to end, return 0.
Constraints:
nstart,endnstart...