spoj 104 Highways (最小生成树计数)

时间:2023-05-23 17:14:02

题目链接:http://www.spoj.pl/problems/HIGH/

题意:求最小生成树个数。

 #include<algorithm>
#include<cstdio>
#include<cmath>
#include<cstring>
#include<iostream>
#define ll long long
double a[][];
int n,m;
const double eps=1e-;
int zero(double x){
if (x<-eps) return -;
else return x>eps;
}
double work(){
double res=;
for (int i=;i<=n;i++){
int k=i;
for (int j=i+;j<=n;j++) if (fabs(a[j][i])>fabs(a[k][i])) k=j;
if (k!=i){
for (int j=;j<=n;j++)
std::swap(a[k][j],a[i][j]);
}
for (int j=i+;j<=n;j++){
double tmp=a[j][i]/a[i][i];
for (int k=i;k<=n;k++)
a[j][k]-=tmp*a[i][k];
}
if (!zero(a[i][i])) return ;
}
for (int i=;i<=n;i++) res*=a[i][i];
return std::fabs(res);
}
int main(){
int T;
scanf("%d",&T);
while (T--){
scanf("%d%d",&n,&m);
for (int i=;i<=n;i++)
for (int j=;j<=n;j++)
a[i][j]=;
while (m--){
int x,y;
scanf("%d%d",&x,&y);
a[x][x]+=1.0;a[y][y]+=1.0;
a[x][y]-=1.0;a[y][x]-=1.0;
}
n--;
printf("%0.0lf\n",work());
}
}