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Flow problem
Time limit:5000/5000 MS (java/others) Memory limit:65535/32768 K (java/others)
Total submission (s): 10184 Accepted Submission (s): 4798
Problem Descriptionnetwork Flow is a well-known difficult problem for acmers. Given a graph, your task is to find out the maximum flow for the weighted directed graph.
Inputthe first line of input contains an integer T, denoting the number of the test cases.
For each test case, the first line contains integers N and M, denoting the number of vertexes and edges in the graph. (2 <= N <=, 0 <= M <= 1000)
Next M lines, each line contains three integers X, Y and C, there is a edge from X to Y and the capacity of it is C. (1 & lt;= X, Y <= N, 1 <= C <= 1000)
Outputfor Each test cases, you should output the maximum flow from source 1 to sink N.
Sample Input23 21 2 12 3 13 31 2 12 3 11 3 1
Sample outputcase 1:1case 2:2
Authorhyperhexagon
Source Hyperhexagon ' s Summer Gift (Original tasks)
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#include <stdio.h>#include<string.h>#include<iostream>#include<algorithm>#include<queue>using namespacestd;intdp[ -][ -],pre[ -];Const inttmin=999999999;intMaxflow;voidEK (intStartintEndintN) { while(1) {Queue<int>Q; Q.push (1); intminflow=tmin; memset (PRE,0,sizeof(pre)); while(!Q.empty ()) { intu=Q.front (); Q.pop (); for(intI=1; i<=n;i++){ if(dp[u][i]>0&&!Pre[i]) {Pre[i]=u; Q.push (i); } } } if(pre[end]==0) Break; for(intI=end;i!=start;i=Pre[i]) {Minflow=min (dp[pre[i]][i],minflow); } for(intI=end;i!=start;i=Pre[i]) {Dp[pre[i]][i]-=Minflow; Dp[i][pre[i]]+=Minflow; } Maxflow+=Minflow; }}intMain () {intCount=0; intn,m; intT; scanf ("%d",&6); while(t--) {scanf ("%d%d",&n,&m); Memset (DP,0,sizeof(DP)); memset (PRE,0,sizeof(pre)); Count++; intu,v,w; for(intI=1; i<=m;i++) {scanf ("%d%d%d",&u,&v,&W); DP[U][V]+=W; } Maxflow=0; EK (1, N,n); printf ("Case %d:%d\n", Count,maxflow); } return 0;}
HDU 3549 Basic network flow EK algorithm flow problem