📄 1236.cpp
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/* This Code is Submitted by wywcgs for Problem 1236 on 2006-03-08 at 10:45:42 */
#include <cstdio>
#include <algorithm>
using namespace std;
const int MAX = 512;
const int INF = 1 << 30;
double last;
bool one;
int domino[MAX][MAX], n, key[2];
void dijkstra(int);
int main()
{
int m, i, t;
for(t = 1; scanf("%d %d", &n, &m) != EOF && n != 0; t++) {
memset(domino, -1, sizeof(domino));
for(i = 0; i < m; i++) {
int a, b, d; scanf("%d %d %d", &a, &b, &d);
domino[a-1][b-1] = domino[b-1][a-1] = d;
}
dijkstra(0);
printf("System #%d\nThe last domino falls after %.1lf seconds, ", t, last);
if(one) printf("at key domino %d.\n\n", key[0]+1);
else printf("between key dominoes %d and %d.\n\n", key[0]+1, key[1]+1);
}
return 0;
}
void dijkstra(int src)
{
int d[MAX], i, j; bool vst[MAX] = { false };
for(i = 0; i < n; i++) d[i] = INF;
d[src] = 0; last = -INF;
for(i = 0; i < n; i++) {
int mind = INF, mini;
for(j = 0; j < n; j++)
if(!vst[j] && mind > d[j])
{ mind = d[j]; mini = j; }
vst[mini] = true;
if(last < d[mini]) {
one = true; last = d[mini]; key[0] = mini;
}
for(j = 0; j < n; j++)
if(domino[mini][j] == -1) continue;
else if(vst[j] && d[j]+domino[mini][j] > d[mini]) {
double cost = (d[j]+domino[mini][j]+d[mini]) / 2.0;
if(cost > last) {
last = cost; one = false;
key[0] = min(mini, j); key[1] = max(mini, j);
}
} else d[j] = min(d[j], d[mini]+domino[mini][j]);
}
}
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