Files
python/TangDou/AcWing/ShortestPath/851.cpp
HuangHai 1f397eca87 'commit'
2025-08-30 18:35:01 +08:00

56 lines
1.4 KiB
C++
Raw Blame History

This file contains ambiguous Unicode characters

This file contains Unicode characters that might be confused with other characters. If you think that this is intentional, you can safely ignore this warning. Use the Escape button to reveal them.

#include <bits/stdc++.h>
const int N = 100010, M = 2 * N;
const int INF = 0x3f3f3f3f;
using namespace std;
int n, m; // 总点数
int d[N]; // 存储每个点到1号点的最短距离
int st[N]; // 存储每个点是否在队列中
// 邻接表
int e[M], h[N], idx, w[M], ne[M];
void add(int a, int b, int c) {
e[idx] = b, ne[idx] = h[a], w[idx] = c, h[a] = idx++;
}
// 求1号点到n号点的最短路距离,如果从1号点无法走到n号点则返回-1
void spfa(int s) {
// 初始化距离
memset(d, 0x3f, sizeof d);
d[s] = 0;
queue<int> q;
q.push(s);
st[s] = 1;
while (q.size()) {
int u = q.front();
q.pop();
st[u] = 0;
for (int i = h[u]; ~i; i = ne[i]) {
int v = e[i];
if (d[v] > d[u] + w[i]) {
d[v] = d[u] + w[i];
// 如果队列中已存在v,则不需要将v重复插入,优化一下
if (!st[v]) {
q.push(v);
st[v] = 1;
}
}
}
}
}
int main() {
memset(h, -1, sizeof h);
cin >> n >> m;
while (m--) {
int a, b, c;
cin >> a >> b >> c;
add(a, b, c);
}
spfa(1);
if (d[n] == INF)
puts("impossible");
else
printf("%d\n", d[n]);
return 0;
}