- 题解
- ABC243E 删边
ABC243E. 删边
- @ 2026-8-31 18:04:18
模板题。
我们注意到,一条边是不是多余的,在于是否存在另一条路径比直接前往更短。
同时:因为数据很小,完全可以跑 多源最短路。
代码
#include <bits/stdc++.h>
#define int long long
using namespace std;
int T = 1;
const int N = 300 + 10;
const int INF = 0x3f3f3f3f3f3f3f3f;
int n, m;
int dis[N][N];
struct Edge {
int u;
int v;
int w;
}edges[N * N];//注意
void Solve() {
cin >> n >> m;
memset(dis, INF, sizeof(dis));//这里一定不能填127
for (int i = 1; i <= m; i++) {
cin >> edges[i].u >> edges[i].v >> edges[i].w;
dis[edges[i].u][edges[i].v] = edges[i].w;
dis[edges[i].v][edges[i].u] = edges[i].w;
}
for (int i = 1; i <= n; i++) dis[i][i] = 0;
for (int k = 1; k <= n; k++) {
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= n; j++) {
if (i == j || i == k || j == k) continue;
if (dis[i][k] + dis[k][j] < dis[i][j]) {
dis[i][j] = dis[i][k] + dis[k][j];
}
}
}
}
int ans = 0;
for (int i = 1; i <= m; i++) {
int u = edges[i].u, v = edges[i].v, w = edges[i].w;
for (int k = 1; k <= n; k++) {
if (k == u || k == v) continue;
if (dis[u][k] + dis[k][v] <= w) {
ans++;
break;
}
}
}
cout << ans;
}
signed main() {
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
while (T--) {
Solve();
}
return 0;
}
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