Submission #3110

#	Time	Username	Problem	Language	Result	Execution time	Memory
3110		tncks0121	Following Flow (kriii1_F)	C++98	0 / 1	0 ms	1108 KiB

F

#include<stdio.h>
int n,m,deg[31],Ed[1001][3];
double w[31][31],C[31],t,t2;
int main()
{
	int i,a,b,j,k;
	scanf("%d%d",&n,&m);
	for(i=0;i<m;i++){
		scanf("%d%d%d",&Ed[i][0],&Ed[i][1],&Ed[i][2]);
		deg[Ed[i][0]]++;
	}
	for(i=0;i<m;i++){
		a=Ed[i][0],b=Ed[i][1];
		if(b!=n)w[a][b]+=1.0/deg[a];
		C[a]+=1.0*Ed[i][2]/deg[a];
	}
	for(i=n-1;i>0;i--){
		t=1.0/(1.0-w[i][i]);
		w[i][i]=0;
		for(j=i-1;j>=0;j--){
			t2=t*w[j][i];
			w[j][i]=0;
			for(k=i-1;k>=0;k--){
				w[j][k]+=w[i][k]*t2;
				C[j]+=C[i]*t2;
			}
		}
	}
	printf("%.9lf\n",1.0/(1.0-w[0][0])*C[0]);
	return 0;
}

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