动态规划多段图的最短路径问题c++
时间: 2023-12-01 22:42:45 浏览: 31
以下是动态规划多段图的最短路径问题的C++代码实现:
```c++
#include <iostream>
#include <cstring>
using namespace std;
const int N = 110, INF = 0x3f3f3f3f;
int n, m;
int g[N][N], dist[N];
bool st[N];
int dijkstra()
{
memset(dist, 0x3f, sizeof dist);
dist[1] = 0;
for (int i = 0; i < n; i ++ )
{
int t = -1;
for (int j = 1; j <= n; j ++ )
if (!st[j] && (t == -1 || dist[t] > dist[j]))
t = j;
st[t] = true;
for (int j = 1; j <= n; j ++ )
dist[j] = min(dist[j], dist[t] + g[t][j]);
}
return dist[n];
}
int main()
{
cin >> n >> m;
memset(g, 0x3f, sizeof g);
while (m -- )
{
int a, b, c;
cin >> a >> b >> c;
g[a][b] = min(g[a][b], c);
}
for (int i = 1; i <= n; i ++ )
for (int j = i + 1; j <= n; j ++ )
for (int k = i; k < j; k ++ )
if (g[i][j] != INF)
g[i][j] = min(g[i][j], g[i][k] + g[k][j]);
cout << dijkstra() << endl;
return 0;
}
```