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Cod sursa(job #113575)
#include <stdio.h>
#include <vector>
using namespace std;
#define EPS 1e-12
#define pb push_back
#define mp make_pair
#define nod first
#define cost second
#define PII pair<int, int>
#define NMax 256
int N, M;
vector< PII > G[NMax];
double D[NMax][NMax], X[NMax];
int cmp(double a, double b)
{
if (a >= b && a-b < EPS)
return 1;
if (b > a && b-a < EPS)
return 1;
return 0;
}
void gauss(void)
{
int i, k, p;
double factor;
for (i = 1; i <= N; i++)
{
for (k = i+1; k <= N; k++)
if (!cmp(D[k][i], 0))
{
factor = D[i][i] / D[k][i];
for (p = i; p <= N; p++)
D[k][p] = D[k][p] * factor - D[i][p];
D[k][0] = D[k][0] * factor - D[i][0];
}
}
}
int main(void)
{
int i, j, cost, sz;
freopen("tunel.in", "r", stdin);
freopen("tunel.out", "w", stdout);
scanf("%d %d", &N, &M);
for (; M; M--)
{
scanf("%d %d %d", &i, &j, &cost);
G[i].pb( mp(j, cost) );
G[j].pb( mp(i, cost) );
}
for (i = 1; i < N; i++)
{
sz = G[i].size();
cost = 0;
for (j = 0; j < sz; j++)
D[i][G[i][j].nod] += (double)1/sz,
cost += G[i][j].cost;
D[i][i] -= 1.0;
D[i][0] = -(double)cost/sz;
}
D[N][N] = 1.0;
gauss();
for (i = N; i >= 1; i--)
{
for (j = i+1; j <= N; j++)
D[i][0] -= D[i][j] * X[j];
X[i] = D[i][0] / D[i][i];
}
printf("%.3lf\n", D[1][0] / D[1][1]);
return 0;
}