阅读程序【SCP 2021 第一轮(初赛)模拟3】
#include <bits/stdc++.h>
using namespace std;
#define N 105
#define INF 1e9
int dis1[N][N], dis2[N][N];
int mp[N][N], n, m;
void fun1(int dis[N][N]) {
static bool vis[N];
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= n; j++) {
dis[i][j] = mp[i][j];
}
}
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= n; j++) vis[j] = 0;
for (int k = 1; k <= n; k++) {
int now = 0;
for (int j = 1; j <= n; j++) {
if (!vis[j] && (!now || dis[i][now] > dis[i][j]))
now = j;
}
vis[now] = 1;
for (int j = 1; j <= n; j++) {
if(!vis[j]&&dis[i][j] > dis[i][now]+mp[now][j]){
dis[i][j] = dis[i][now] + mp[now][j];
}
}
}
}
}
void fun2(int dis[N][N]) {
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= n; j++) {
dis[i][j] = mp[i][j];
}
}
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= n; j++) {
for (int k = 1; k <= n; k++) {
dis[i][j] = min(dis[i][j], dis[i][k] + dis[k][j]);
}
}
}
}
int main() {
cin >> n >> m;
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= n; j++) {
if (i == j) mp[i][j] = 0;
else mp[i][j] = INF;
}
}
for (int i = 1; i <= m; i++) {
int u, v, w;
cin >> u >> v >> w;
mp[u][v] = w;
}
fun1(dis1);
fun2(dis2);
int ans = 0;
for (int i = 1; i <= n; i++) {
for (int j = 1; j <= n; j++) {
if (dis1[i][j] != dis2[i][j])
ans++;
}
}
cout << ans << endl;
return 0;
}
以上程序的输入数据满足 $1 \leq n \leq 100,1 \leq m \leq \dfrac{n(n-1)}{2}$,且只保证不存在重边,即不存在 $(u_i,v_i)=(u_j,v_j)(i \neq j)$,边权 $w_i \in [1,10^6]$ 。如果 $u$ 到 $v$ 不可达,则认为距离为 $\texttt{INF}$ 。完成下面的判断题和单选题。
第5题的输入数据:
5 8
3 2 2
2 4 2
1 4 3
3 1 2
4 3 3
5 2 3
1 5 1
1 2 2