FFLOW - Fast Maximum Flow
English | Vietnamese |
Given a graph with N (2 ≤ N ≤ 5,000) vertices numbered 1 to N and M (1 ≤ M ≤ 30,000) undirected, weighted edges, compute the maximum flow / minimum cut from vertex 1 to vertex N.
Input
The first line contains the two integers N and M. The next M lines each contain three integers A, B, and C, denoting that there is an edge of capacity C (1 ≤ C ≤ 109) between nodes A and B (1 ≤ A, B ≤ N). Note that it is possible for there to be duplicate edges, as well as an edge from a node to itself.
Output
Print a single integer (which may not fit into a 32-bit integer) denoting the maximum flow / minimum cut between 1 and N.
Example
Input: 4 6 1 2 3 2 3 4 3 1 2 2 2 5 3 4 3 4 3 3 Output: 5
Viewing the problem as max-flow, we may send 3 units of flow through the path 1 - 2 - 3 - 4 and 2 units of flow through the path 1 - 3 - 4. Viewing the problem as min-cut, we may cut the first and third edges. Either way the total is 5.
Original problem: https://www.spoj.com/problems/FASTFLOW/.
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[Rampage] Blue.Mary:
2021-05-19 10:37:52
I'm pretty interested in the data. My ~10-years-old flow lib gets TLE. Last edit: 2021-05-19 17:41:35 |
Added by: | Race with time |
Date: | 2009-04-13 |
Time limit: | 1s |
Source limit: | 50000B |
Memory limit: | 1536MB |
Cluster: | Cube (Intel G860) |
Languages: | All except: ERL JS-RHINO NODEJS PERL6 VB.NET |
Resource: | Neal Wu - SPOJ |