main
黄海 2 years ago
parent 40e4ca2839
commit 311747d542

@ -0,0 +1,38 @@
#include <bits/stdc++.h>
using namespace std;
const int N = 814;
const int INF = 0x3f3f3f3f;
int id[N];
int a, b, c, g[N][N], res = INF;
int main() {
// 加快读入
ios::sync_with_stdio(false), cin.tie(0);
int p, n, m; // p只奶牛n个牧场m条边
cin >> p >> n >> m;
memset(g, 0x3f, sizeof g);
for (int i = 1; i <= n; i++) g[i][i] = 0; // 初始化
for (int i = 1; i <= p; i++) cin >> id[i]; // i号奶牛在id[i]这个牧场
while (m--) {
cin >> a >> b >> c;
g[a][b] = g[b][a] = min(c, g[a][b]);
}
// 标准的Floyd板子
for (int k = 1; k <= n; k++)
for (int i = 1; i <= n; i++) {
if (g[i][k] == INF) continue; // floyd小优化
for (int j = 1; j <= n; j++)
if (g[i][j] > g[i][k] + g[k][j])
g[j][i] = g[i][j] = g[i][k] + g[k][j];
}
for (int i = 1; i <= n; i++) { // 每个牧场出发
int ans = 0;
for (int j = 1; j <= p; j++) ans += g[i][id[j]];
res = min(res, ans);
}
printf("%d", res);
return 0;
}

@ -0,0 +1,29 @@
#include <bits/stdc++.h>
using namespace std;
const int N = 210;
int n, g[N][N];
const int INF = 0x3f3f3f3f;
int ans = INF;
int main() {
cin >> n;
for (int i = 1; i <= n; i++)
for (int j = 1; j <= n; j++) {
cin >> g[i][j];
if (g[i][j] == 0 && i != j) g[i][j] = INF; // 建图(注意i==j要为0)
}
// floyd
for (int k = 1; k <= n; k++)
for (int i = 1; i <= n; i++)
for (int j = 1; j <= n; j++)
if (g[i][j] > g[i][k] + g[k][j])
g[i][j] = g[i][k] + g[k][j];
int s;
for (int i = 1; i <= n; i++) {
s = 0;
for (int j = 1; j <= n; j++) s += g[i][j];
if (s < ans) ans = s;
}
printf("%d", ans);
return 0;
}

@ -378,4 +378,77 @@ int main() {
}
return 0;
}
```
```
### 八、其它习题
#### $SSL-1760$(商店选址)
**题目**
给出一个城市的地图(用邻接矩阵表示),商店设在一点,使各个地方到商店距离之和最短。
$Input$
第一行为$n$(共有几个城市); $N$小于$201$
第二行至第$n+1$行为城市地图(用邻接矩阵表示)
$Output$
最短路径之和
$Sample$ $Input$
```cpp {.line-numbers}
3
0 3 1
3 0 2
1 2 0
1
2
3
4
```
$Sample$ $Output$
```cpp {.line-numbers}
3
1
```
```cpp {.line-numbers}
#include <bits/stdc++.h>
using namespace std;
const int N = 210;
int n, g[N][N];
const int INF = 0x3f3f3f3f;
int ans = INF;
int main() {
cin >> n;
for (int i = 1; i <= n; i++)
for (int j = 1; j <= n; j++) {
cin >> g[i][j];
if (g[i][j] == 0 && i != j) g[i][j] = INF; // 建图(注意i==j要为0)
}
// floyd
for (int k = 1; k <= n; k++)
for (int i = 1; i <= n; i++)
for (int j = 1; j <= n; j++)
if (g[i][j] > g[i][k] + g[k][j])
g[i][j] = g[i][k] + g[k][j];
int s;
for (int i = 1; i <= n; i++) {
s = 0;
for (int j = 1; j <= n; j++) s += g[i][j];
if (s < ans) ans = s;
}
printf("%d", ans);
return 0;
}
```
#### [$P1828$ [$USACO3.2$] 香甜的黄油 $Sweet$ $Butter$](https://www.luogu.com.cn/problem/P1828)
SSL-1761城市问题
#### [$P1364$ 医院设置](https://www.luogu.com.cn/problem/P1364)
SSL-1613=CCF1342最短路径问题

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