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Find the Maximum Flow
Hard Accuracy: 55.17% Submissions: 4069 Points: 8

Given a graph which represents a flow network with N vertices numbered 1 to N and M edges.Find the maximum flow from vertex numbered 1 to vertex numbered N.

In a flow network,every edge has a flow capacity and the maximum flow of a path can't exceed the flow-capacity of an edge in the path.

Example 1:

Input:
N = 5, M =  4
Edges[]= {{1,2,1},{3,2,2},{4,2,3},{2,5,5}}
Output: 1 
Explanation: 
1 - 2 - 3
   / \
  4   5 
1 unit can flow from 1 -> 2 - >5 

 

Example 2:

Input:
N = 4, M = 4
Edges[] = {{1,2,8},{1,3,10},{4,2,2},{3,4,3}}
Output: 5 
Explanation:
  1 - 2 
  |   |
  3 - 4
3 unit can flow from 1 -> 3 -> 4
2 unit can flow from 1 -> 2 -> 4
Total max flow from 1 to N = 3+2=5

Your Task: 
You don't need to read input or print anything. Your task is to complete the function solve() which takes the (the number of vertices) ,M (the number of Edges) and the array Edges[] (Where Edges[i] denoting an undirected edge between Edges[i][0] and Edges[i][1] with a flow capacity of Edges[i][2]), and returns the integer denoting the maximum flow from 1 to N.

Expected Time Complexity: O(max_flow*M)
Expected Auxiliary Space: O(N+M)

Where max_flow is the maximum flow from 1 to N

Constraints:
1 <= N,M,Edges[i][2] <= 1000

1 <= Edges[i][0],Edges[i][1] <= N

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