Address https://www.acwing.com/problem/content/description/851/
Given a point n and m edges directed graph, there may be multiple edges in FIG loopback and all are positive edge weights.
Please find the shortest distance from point 1 to point number n, n number if you can not go from point 1 point, then output -1.
Input Format
The first line contains the integers n and m.
Next m lines contains three integers x, y, Z, it indicates the presence of a point x to point y directed edge from a side length of z.
Output Format
Output an integer, represents the shortest distance to the point 1 point number n.
If the path does not exist, the output of -1.
data range
. 1 ≤ n- ≤ 500 1≤n≤500,
. 1 ≤ m ≤ 10 . 5 1≤m≤105,
FIG relates to a side not more than 10,000.
```
Sample input:
3 3
1 2 2
2 3 1
1 3 4
Sample output:
3
```
#include <iostream> #include <vector> #include <algorithm> #include <memory.h> using namespace std; const int MAX_N = 1010; int gra[MAX_N][MAX_N]; int st[MAX_N]; int dist[MAX_N]; int n, m; int solve() { memset(dist, 0x3f3f3f3f, sizeof(dist)); dist[1] = 0; //循环n-1 轮即可 for (int i = 0; I <n-- . 1 ; I ++ ) { int nearestNode = - . 1 ; // find the nearest point for ( int J = . 1 ; J <= n-; J ++ ) { IF (ST [J] == 0 && ( == nearestNode - . 1 || dist [nearestNode]> dist [J])) { nearestNode = J; } } // with the distance from the first point of the dot to update the other points for ( int J = . 1 ; J < n-=; J ++ ) { dist [J]Min = (dist [J], dist [nearestNode] + GRA [nearestNode] [J]); } ST [nearestNode] = . 1 ; } // if the number n from the point that it is not updated unreachable IF (dist [n ] == 0x3f3f3f3f ) return - 1 ; // returns the number from 1 to n last updated return dist [n]; } int main () { CIN >> n >> m; // All initialization FIG side length is 0x3f3f3f3f Memset (GRA, 0x3F , the sizeof GRA); for ( int I = 0; i < m; i++) { int a, b, c; scanf("%d %d %d",&a,&b,&c); //防止重边 gra[a][b] = min(gra[a][b], c); } printf("%d\n",solve() ); return 0; }