📄 2047.cpp
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/* This Code is Submitted by wywcgs for Problem 2047 on 2006-07-23 at 15:48:15 */
#include <cstdio>
#include <cstring>
#include <cmath>
const int MAX = 128;
const double INF = 2000000;
const double eps = 1e-6;
double pro[MAX][MAX];
inline double percent(const double);
inline double parse(const double);
double Dijkstra(int, int);
int main()
{
int n, m, i, j;
while(scanf("%d %d", &n, &m) != EOF && n != 0) {
for(i = 0; i < n; i++) {
pro[i][i] = 0;
for(j = i+1; j < n; j++) {
pro[j][i] = pro[i][j] = INF;
}
}
for(i = 0; i < m; i++) {
int a, b;
double d;
scanf("%d %d %lf", &a, &b, &d);
pro[a-1][b-1] = pro[b-1][a-1] = percent(d);
}
printf("%.6lf percent\n", parse(Dijkstra(0, n)));
}
return 0;
}
inline double percent(const double n)
{
return -log10(n/100);
}
inline double parse(const double n)
{
return 100 * pow(10, -n);
}
double Dijkstra(int src, int n)
{
const int dis = n - 1;
int i, j, mini;
double d[MAX];
bool visit[MAX] = { false };
for(i = 0; i < n; i++) {
d[i] = INF;
}
d[src] = 0;
for(i = 0; i < n; i++) {
double min = INF;
for(j = 0; j < n; j++) {
if(!visit[j] && min - d[j] > eps) min = d[j], mini = j;
}
if(mini == dis) break;
if(fabs(min-INF) < eps) return INF;
else {
visit[mini] = true;
for(j = 0; j < n; j++) {
if(d[j] - (d[mini] + pro[mini][j]) > eps) {
d[j] = d[mini] + pro[mini][j];
}
}
}
}
return d[dis];
}
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