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Copy pathcycle_finding.cpp
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108 lines (98 loc) · 2.68 KB
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#include <bits/stdc++.h>
//Author : ritchie_s
#define for0(i, n) for (int i = 0; i < (int)(n); ++i) // 0 based indexing
#define for1(i, n) for (int i = 1; i <= (int)(n); ++i) // 1 based indexing
// Short hand for usual tokens
#define pb push_back
#define fi first
#define se second
#define all(x) x.begin(), x.end()
#define sp " "
// Shorthand for commonly used types
using namespace std;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int, int> ii;
typedef long long ll;
typedef unsigned long long ull;
typedef vector<ll> vll;
typedef vector<vll> vvll;
typedef double ld;
// functions
#define MOD 1000000007
ll min(ll a,int b) { if (a<b) return a; return b; }
ll min(int a,ll b) { if (a<b) return a; return b; }
ll max(ll a,int b) { if (a>b) return a; return b; }
ll max(int a,ll b) { if (a>b) return a; return b; }
ll gcd(ll a,ll b) { if (b==0) return a; return gcd(b, a%b); }
ll lcm(ll a,ll b) { return (a/gcd(a,b))*b; }
string to_upper(string a) { for (int i=0;i<(int)a.size();++i) if (a[i]>='a' && a[i]<='z') a[i]-='a'-'A'; return a; }
string to_lower(string a) { for (int i=0;i<(int)a.size();++i) if (a[i]>='A' && a[i]<='Z') a[i]+='a'-'A'; return a; }
bool prime(ll a) { if (a==1) return 0; for (int i=2;i<=round(sqrt(a));++i) if (a%i==0) return 0; return 1; }
// int gcd = __gcd(a,b) , ll LCM = 1LL*a*b/gcd
//solver fn
void solve(){
ll n , m;
cin>>n>>m;
vvll edges;
for0(i,m){
ll u , v , wt;
cin>>u>>v>>wt;
edges.pb({u,v,wt});
}
vll dist(n+1 , 0);
vll parent(n+1);
dist[1] = 0;
for(int i = 1 ; i<=n ; i++){
for(auto x : edges){
if(dist[x[0]] + x[2] < dist[x[1]]){
dist[x[1]] = dist[x[0]] + x[2] ;
parent[x[1]] = x[0];
}
}
}
int flag = 0;
int nodeincycle = -1;
for(auto x : edges){
if(dist[x[0]] == LLONG_MAX)continue;
if(dist[x[0]] + x[2] < dist[x[1]]){
flag = 1;
nodeincycle = x[1];
parent[x[1]] = x[0];
break;
}
}
if(flag == 0){
cout<<"NO"<<endl;
return;
}
cout<<"YES"<<endl;
for(int i = 1 ; i<=n ; i++){
nodeincycle = parent[nodeincycle];
}
vll cycle;
ll curr = nodeincycle;
while (true) {
cycle.pb(curr);
curr = parent[curr];
if (curr == nodeincycle) {
cycle.pb(curr); // close the cycle
break;
}
}
reverse(all(cycle));
for(auto x : cycle){
cout<<x<<sp;
}
}
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
cout.precision(10);
cout << fixed;
int t =1;
while(t--){
solve();
}
return 0;
}