Solution: Path with Maximum Probability
Explore how to solve the maximum probability path problem in graphs by applying a variation of Dijkstra's algorithm. Understand how to build an adjacency list, use a max heap for probability updates, and efficiently compute the highest success probability between two nodes in an undirected weighted graph. Gain insights into time and space complexities while mastering graph traversal techniques in JavaScript.
We'll cover the following...
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...