P14497 [GeeksforGeeks] Count the paths4332
普及-
题目描述

Given a directed acyclic graph(DAG) with n nodes labeled from 0 to n-1. Given edges, s and d ,count the number of ways to reach from s to d.There is a directed Edge from vertex edges[i][0] to the vertex edges[i][1].

Example:
Input: edges = {{0,1},{0,3},{1,2},{3,2}},
n = 4, s = 0, d = 2
Output: 2
Explanation: There are two ways to reach at
2 from 0. These are-
1. 0->1->2
2. 0->3->2

Your Task:
You don't need to read or print anything. Your task is to complete the function possible_paths() which takes edges, n, s and d as input parameter and returns the number of ways to reach from s to d.

Expected Time Compelxity: O(2^{n})
Expected Space Complexity: O(n+e)
where e is the number of edges in the graph.

Constraints:
1 <= n <= 15
0 <= s, d <= n-1

输入格式

见题面

输出格式

见题面

样例输入
edges = {{0,1},{0,3},{1,2},{3,2}}, n = 4, s = 0, d = 2
样例输出
2