![\"\"](\"https://assets.leetcode.com/uploads/2019/09/20/1558_ex1.png\")
You are given an undirected weighted graph of n nodes (0-indexed), represented by an edge list where edges[i] = [a, b] is an undirected edge connecting the nodes a and b with a probability of success of traversing that edge succProb[i].
Given two nodes start and end, 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. Your answer will be accepted if it differs from the correct answer by at most 1e-5.
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Example 1:
\r\n\r\n
\r\nInput: n = 3, edges = [[0,1],[1,2],[0,2]], succProb = [0.5,0.5,0.2], start = 0, end = 2\r\nOutput: 0.25000\r\nExplanation: There are two paths from start to end, one having a probability of success = 0.2 and the other has 0.5 * 0.5 = 0.25.\r\n\r\n\r\n
Example 2:
\r\n\r\n![\"\"](\"https://assets.leetcode.com/uploads/2019/09/20/1558_ex2.png\")
\r\nInput: n = 3, edges = [[0,1],[1,2],[0,2]], succProb = [0.5,0.5,0.3], start = 0, end = 2\r\nOutput: 0.30000\r\n\r\n\r\n
Example 3:
\r\n\r\n![\"\"](\"https://assets.leetcode.com/uploads/2019/09/20/1558_ex3.png\")
\r\nInput: n = 3, edges = [[0,1]], succProb = [0.5], start = 0, end = 2\r\nOutput: 0.00000\r\nExplanation: There is no path between 0 and 2.\r\n\r\n\r\n
\r\n
Constraints:
\r\n\r\n2 <= n <= 10^40 <= start, end < nstart != end0 <= a, b < na != b0 <= succProb.length == edges.length <= 2*10^40 <= succProb[i] <= 1Compiled with clang 11 using the latest C++ 17 standard.
Your code is compiled with level two optimization (-O2). AddressSanitizer is also enabled to help detect out-of-bounds and use-after-free bugs.
Most standard library headers are already included automatically for your convenience.
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