This documentation is automatically generated by online-judge-tools/verification-helper
// verification-helper: PROBLEM http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=GRL_1_B
#include<bits/stdc++.h>
using namespace std;
#define call_from_test
#include "../../tools/drop.cpp"
#include "../../graph/bellmanford.cpp"
#undef call_from_test
signed main(){
cin.tie(0);
ios::sync_with_stdio(0);
int n,m,r;
cin>>n>>m>>r;
BellmanFord<int> G(n);
for(int i=0;i<m;i++){
int a,b,c;
cin>>a>>b>>c;
G.add_edge(a,b,c);
}
int neg_loop;
auto res=G.build(r,neg_loop);
if(neg_loop) drop("NEGATIVE CYCLE");
for(int x:res){
if(x==numeric_limits<int>::max()) cout<<"INF\n";
else cout<<x<<"\n";
}
cout<<flush;
return 0;
}
#line 1 "test/aoj/GRL_1_B.test.cpp"
// verification-helper: PROBLEM http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=GRL_1_B
#include<bits/stdc++.h>
using namespace std;
#define call_from_test
#line 1 "tools/drop.cpp"
#line 3 "tools/drop.cpp"
using namespace std;
#endif
//BEGIN CUT HERE
template<typename T> void drop(const T &x){cout<<x<<endl;exit(0);}
//END CUT HERE
#ifndef call_from_test
//INSERT ABOVE HERE
signed main(){
return 0;
}
#endif
#line 1 "graph/bellmanford.cpp"
#line 3 "graph/bellmanford.cpp"
using namespace std;
#endif
//BEGIN CUT HERE
template<typename T>
struct BellmanFord{
struct edge{
int u,v;
T w;
edge(int u,int v,T w):u(u),v(v),w(w){}
};
vector< vector<int> > G;
vector<int> used,reach;
BellmanFord(int n):G(n),used(n,0),reach(n,1){}
vector<edge> es;
void add_edge(int u,int v,T c){
es.emplace_back(u,v,c);
G[u].emplace_back(v);
}
vector<T> build(int from,int &neg_loop){
const T INF = numeric_limits<T>::max();
int n=G.size();
vector<T> ds(n,INF);
ds[from]=0;
for(int j=0;j<n;j++){
bool update=0;
for(auto e:es){
if(!reach[e.u] or !reach[e.v] or ds[e.u]==INF) continue;
if(ds[e.v]>ds[e.u]+e.w){
ds[e.v]=ds[e.u]+e.w;
update=1;
}
}
if(!update) break;
if(j==n-1){
neg_loop=1;
return ds;
}
}
neg_loop=0;
return ds;
}
void dfs(int v){
if(used[v]) return;
used[v]=1;
for(int u:G[v]) dfs(u);
}
T shortest_path(int from,int to,int &neg_loop){
int n=G.size();
for(int i=0;i<n;i++){
fill(used.begin(),used.end(),0);
dfs(i);
reach[i]=used[to];
}
return build(from,neg_loop)[to];
}
};
//END CUT HERE
#ifndef call_from_test
signed main(){
return 0;
}
#endif
#line 9 "test/aoj/GRL_1_B.test.cpp"
#undef call_from_test
signed main(){
cin.tie(0);
ios::sync_with_stdio(0);
int n,m,r;
cin>>n>>m>>r;
BellmanFord<int> G(n);
for(int i=0;i<m;i++){
int a,b,c;
cin>>a>>b>>c;
G.add_edge(a,b,c);
}
int neg_loop;
auto res=G.build(r,neg_loop);
if(neg_loop) drop("NEGATIVE CYCLE");
for(int x:res){
if(x==numeric_limits<int>::max()) cout<<"INF\n";
else cout<<x<<"\n";
}
cout<<flush;
return 0;
}