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12. Cycle Finding.cpp
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12. Cycle Finding.cpp
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// Bellman ford
// https://cp-algorithms.com/graph/finding-negative-cycle-in-graph.html
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define pii pair<int,int>
#define int64 int64_t
#define IOS ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
#define ll long long
#define pb push_back
#define str string
#define ri(x) int x;cin>>x;
#define rl(x) ll x; cin>>x;
#define rs(x) str x; cin>>x;
#define rd(x) d x; cin>>x;
#define w(x) cout<<x;
#define vec(x) std::vector<x>
#define nl '\n'
#define all(x) x.begin(),x.end()
#define map_traverse(it,x) for(auto it = BN(x); it!= ED(x); it++)
#define debug(x) for(auto y : x) {cout<<y<<" ";} cout<<nl;
#define PI 3.14159265358979323846264338327950L
#define rep(i,a,b) for(int i=a;i<b;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define vi vector<int>
const unsigned int M = 1000000007;
const int mxN=2e5;
// const int N = 100031;
bool bad = false;
vector<pii>monster;
int n,m,q;
const ll inf = INT_MAX;
pii start; pii ending;
int dx[4] = {0,-1,1,0};
int dy[4] = {1,0,0,-1};
string path = "RUDL";
const int N = 505;
// int dis[N][N];
// vi adj[mxN],adj2[2505];
int dis1[mxN]; int dis2[mxN];
// bool vis[2505],vis2[2505];
vi par(mxN,0);
// vector<pii>adj[mxN],adj2[mxN];
void solve(){
cin>>n>>m;
vector<tuple<int,int,int>>e;
rep(i,0,m){
int u,v,w; cin>>u>>v>>w;
e.pb({u,v,w});
}
rep(i,1,n+1)dis1[i]=1e16;
dis1[1]=0;
int x;
rep(i,0,n){
x = 0;
for(auto [a,b,w]: e){ // destructuring c++17 feature
if(dis1[b]>dis1[a]+w){
dis1[b] = dis1[a] +w;
par[b] = a;
x = b;
}
}
}
if(!x)cout<<"NO"<<nl;
else{
cout<<"YES"<<nl;
vec(int)cycle; int y = x;
rep(i,0,n)y= par[y];
for(int v = y; ; v= par[v]){
cycle.pb(v);
if(cycle.size()>1 && v==y)break;
}
// reverse(all(cycle));
// for(auto xx: cycle){
// cout<<xx<<" ";
// }
reverse(all(cycle));
for(auto xx: cycle){
cout<<xx<<" ";
}
}
}
signed main(){
IOS;
solve();
}