📄 poj3308_网络流_二分图最小权覆盖.cpp
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//网络流_二分图最小权覆盖
#include <algorithm>
#include <cmath>
using namespace std;
const int MAXN = 110;
const double INF = 1e10;
double c[MAXN][MAXN];
int n, m;
int N, src, dst;
void init(){
int p;
scanf("%d %d %d", &n, &m, &p);
N = n + m + 2; src = 0; dst = n + m + 1;
memset(c, 0, sizeof(c));
for (int i = 1; i <= n; i++)
{
double t; scanf("%lf", &t);
c[src][i] = log(t);
}
for (int i = 1; i <= m; i++){
double t; scanf("%lf", &t);
c[i + n][dst] = log(t);
}
int u, v;
while (p--){
scanf("%d %d", &u, &v);
c[u][v + n] = INF;
}
}
double f[MAXN][MAXN], d[MAXN];
int pnt[MAXN], open[MAXN], mk[MAXN];
double maxflow(int s = src, int t = dst)
{
int cur, tail, i, j, u, v;
double flow=0; memset(f,0,sizeof(f));
do{ memset(mk,0,sizeof(mk)); memset(d,0,sizeof(d));
open[0]=s; mk[s]=1; d[s]=INF;
for(pnt[s]=cur=tail=0;cur<=tail&&!mk[t];cur++)
for(u=open[cur],v=0;v<N;v++)if(!mk[v]&&f[u][v]<c[u][v]){
mk[v]=1; open[++tail]=v; pnt[v]=u;
if(d[u]<c[u][v]-f[u][v])d[v]=d[u];
else d[v]=c[u][v]-f[u][v];
}
if(!mk[t])break; flow+=d[t];
for(u=t;u!=s;){v=u;u=pnt[v];f[u][v]+=d[t]; f[v][u]=-f[u][v];}
}while(d[t]>0); return flow;
}
void solve(){
double ans = maxflow();
ans = exp(ans);
printf("%.4lf\n", ans);
}
int main(){
//freopen("test.in", "r", stdin);
//freopen("test.out", "w", stdout);
int cases; scanf("%d", &cases);
while (cases--) init(), solve();
return 0;
}
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