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P5960 【模板】差分约束算法

https://www.luogu.com.cn/record/94859058
This commit is contained in:
Baoshuo Ren 2022-11-20 21:03:41 +08:00
parent ccc6262369
commit 15193a9938
Signed by: baoshuo
GPG Key ID: 00CB9680AB29F51A
3 changed files with 80 additions and 0 deletions

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Luogu/P5960/P5960.cpp Normal file
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#include <iostream>
#include <algorithm>
#include <queue>
#include <utility>
#include <vector>
using std::cin;
using std::cout;
const char endl = '\n';
const int N = 5005;
const int INF = 0x3f3f3f3f;
int n, m, dist[N], cnt[N];
std::vector<std::pair<int, int>> g[N];
bool spfa() {
std::fill_n(dist, N, INF);
std::queue<int> q;
q.emplace(0);
dist[0] = 0;
while (!q.empty()) {
int u = q.front();
q.pop();
for (auto e : g[u]) {
int v = e.first,
w = e.second;
if (dist[v] > dist[u] + w) {
dist[v] = dist[u] + w;
cnt[v] = cnt[u] + 1;
if (cnt[v] > n) return false;
q.emplace(v);
}
}
}
return true;
}
int main() {
std::ios::sync_with_stdio(false);
cin.tie(nullptr);
cin >> n >> m;
for (int i = 1, u, v, w; i <= m; i++) {
cin >> u >> v >> w;
g[v].emplace_back(u, w);
}
for (int i = 1; i <= n; i++) {
g[0].emplace_back(i, 0);
}
if (spfa()) {
for (int i = 1; i <= n; i++) {
cout << dist[i] << ' ';
}
cout << endl;
} else {
cout << "NO" << endl;
}
return 0;
}

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