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python/TangDou/AcWing_TiGao/T3/MiniPath/1127.cpp
HuangHai 1f397eca87 'commit'
2025-08-30 18:35:01 +08:00

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#include <bits/stdc++.h>
using namespace std;
typedef pair<int, int> PII;
const int N = 810; // 牧场数 上限800
const int M = 3000; // 牧场间道路数 上限1450,无向图开双倍
const int INF = 0x3f3f3f3f;
// 邻接表
int h[N], e[M], w[M], ne[M], idx;
void add(int a, int b, int c) {
e[idx] = b, w[idx] = c, ne[idx] = h[a], h[a] = idx++;
}
int n, p, m; // 三个数:奶牛数 ,牧场数 ,牧场间道路数
int id[N]; // 每只奶牛在哪个牧场
int dis[N]; // 记录起点到任意点的最短路径
bool st[N]; // 标识每个牧场是否入过队列
int dijkstra(int S) {
memset(st, 0, sizeof st);
memset(dis, 0x3f, sizeof dis);
dis[S] = 0;
priority_queue<PII, vector<PII>, greater<PII>> q;
q.push({0, S});
while (q.size()) {
PII t = q.top();
q.pop();
int u = t.second;
if (st[u]) continue;
st[u] = true;
for (int i = h[u]; ~i; i = ne[i]) {
int v = e[i];
if (dis[v] > dis[u] + w[i]) {
dis[v] = dis[u] + w[i];
q.push({dis[v], v});
}
}
}
int res = 0;
for (int i = 1; i <= n; i++) { // 遍历每只奶牛
int j = id[i]; // j号牧场
if (dis[j] == INF) return INF; // 如果j号牧场失联了,则无法获得结果
res += dis[j]; // 累加一个最小距离
}
return res; // 整体的最小距离
}
int main() {
memset(h, -1, sizeof h);
cin >> n >> p >> m; // 奶牛数,牧场数,牧场间道路数
for (int i = 1; i <= n; i++) cin >> id[i]; // 1 到 N 头奶牛所在的牧场号
while (m--) {
int a, b, c;
cin >> a >> b >> c;
add(a, b, c), add(b, a, c);
}
int ans = INF;
// 枚举每个牧场为出发点,计算它的最短距离和 中的最小值
for (int i = 1; i <= p; i++) ans = min(ans, dijkstra(i));
printf("%d\n", ans);
return 0;
}