#include <bits/stdc++.h>
using namespace std;
int const N=15;
double const inf=1e9+5;
vector<pair<int,int>> adj[N];
int edge[N][N];
vector<int> com[N];
int cc=0;
int rep[N];
double X[N];
double ct[N];
double val[N];
int n,m;
void cc_find(int node,int xx,int c){
ct[node]=c;
X[node]=xx;
rep[node]=cc;
com[cc].push_back(node);
for(auto i:adj[node])
if(rep[i.first]==0)
cc_find(i.first,-xx,i.second-c);
}
double answer(int c,double x){
double v=0.0;
for(int i:com[c])
for(int j:com[c])
if(edge[i][j]>0){
v=(X[i]+X[j])*x;
v+=ct[i]+ct[j];
if(v!=edge[i][j])
return inf;
}
double sm=0.0;
for(auto i:com[c])
sm+=abs((X[i]*x)+ct[i]);
return sm;
}
int main(){
cin>>n>>m;
for(int i=0;i<m;i++){
int u,v,w;
cin>>u>>v>>w;
adj[u].push_back({v,w});
adj[v].push_back({u,w});
if(edge[u][v]>0 && edge[u][v]!=w){
cout<<"NO"<<endl;
return 0;
}
edge[v][u]=w;
edge[u][v]=w;
}
for(int i=1;i<=n;i++){
if(rep[i]==0){
cc++;
cc_find(i,1,0);
}
}
double ans=0.0;
for(int c=1;c<=cc;c++){
double sm=inf;
double xx=-3;
for(double x=-2.0;x<=2.0;x+=0.5){
if(answer(c,x)<sm){
sm=answer(c,x);
xx=x;
}
}
if(sm==inf){
cout<<"NO"<<endl;
return 0;
}
for(auto i:com[c])
val[i]=(X[i]*xx)+ct[i];
}
cout<<fixed;
cout<<"YES"<<endl;
for(int i=1;i<=n;i++)
cout<<setprecision(10)<<val[i]<<' ';
cout<<endl;
// cout<<ans<<endl;
}
Compilation message
Graph.cpp: In function 'int main()':
Graph.cpp:58:10: warning: unused variable 'ans' [-Wunused-variable]
58 | double ans=0.0;
| ^~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
answer = YES |
2 |
Correct |
0 ms |
348 KB |
answer = YES |
3 |
Correct |
0 ms |
348 KB |
answer = YES |
4 |
Correct |
1 ms |
348 KB |
answer = NO |
5 |
Correct |
1 ms |
348 KB |
answer = YES |
6 |
Correct |
1 ms |
348 KB |
answer = YES |
7 |
Correct |
0 ms |
348 KB |
answer = YES |
8 |
Correct |
0 ms |
348 KB |
answer = YES |
9 |
Correct |
0 ms |
348 KB |
answer = NO |
10 |
Correct |
0 ms |
348 KB |
answer = YES |
11 |
Correct |
0 ms |
348 KB |
answer = YES |
12 |
Correct |
0 ms |
348 KB |
answer = NO |
13 |
Correct |
0 ms |
348 KB |
answer = YES |
14 |
Correct |
0 ms |
348 KB |
answer = YES |
15 |
Correct |
0 ms |
348 KB |
answer = YES |
16 |
Correct |
0 ms |
348 KB |
answer = YES |
17 |
Correct |
0 ms |
348 KB |
answer = YES |
18 |
Correct |
0 ms |
348 KB |
answer = YES |
19 |
Correct |
0 ms |
348 KB |
answer = YES |
20 |
Correct |
0 ms |
348 KB |
answer = YES |
21 |
Correct |
0 ms |
348 KB |
answer = YES |
22 |
Correct |
1 ms |
344 KB |
answer = NO |
23 |
Correct |
0 ms |
348 KB |
answer = NO |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
answer = YES |
2 |
Correct |
0 ms |
348 KB |
answer = YES |
3 |
Correct |
0 ms |
348 KB |
answer = YES |
4 |
Correct |
1 ms |
348 KB |
answer = NO |
5 |
Correct |
1 ms |
348 KB |
answer = YES |
6 |
Correct |
1 ms |
348 KB |
answer = YES |
7 |
Correct |
0 ms |
348 KB |
answer = YES |
8 |
Correct |
0 ms |
348 KB |
answer = YES |
9 |
Correct |
0 ms |
348 KB |
answer = NO |
10 |
Correct |
0 ms |
348 KB |
answer = YES |
11 |
Correct |
0 ms |
348 KB |
answer = YES |
12 |
Correct |
0 ms |
348 KB |
answer = NO |
13 |
Correct |
0 ms |
348 KB |
answer = YES |
14 |
Correct |
0 ms |
348 KB |
answer = YES |
15 |
Correct |
0 ms |
348 KB |
answer = YES |
16 |
Correct |
0 ms |
348 KB |
answer = YES |
17 |
Correct |
0 ms |
348 KB |
answer = YES |
18 |
Correct |
0 ms |
348 KB |
answer = YES |
19 |
Correct |
0 ms |
348 KB |
answer = YES |
20 |
Correct |
0 ms |
348 KB |
answer = YES |
21 |
Correct |
0 ms |
348 KB |
answer = YES |
22 |
Correct |
1 ms |
344 KB |
answer = NO |
23 |
Correct |
0 ms |
348 KB |
answer = NO |
24 |
Incorrect |
0 ms |
348 KB |
jury has the better answer: jans = YES, pans = NO |
25 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
answer = YES |
2 |
Correct |
0 ms |
348 KB |
answer = YES |
3 |
Correct |
0 ms |
348 KB |
answer = YES |
4 |
Correct |
1 ms |
348 KB |
answer = NO |
5 |
Correct |
1 ms |
348 KB |
answer = YES |
6 |
Correct |
1 ms |
348 KB |
answer = YES |
7 |
Correct |
0 ms |
348 KB |
answer = YES |
8 |
Correct |
0 ms |
348 KB |
answer = YES |
9 |
Correct |
0 ms |
348 KB |
answer = NO |
10 |
Correct |
0 ms |
348 KB |
answer = YES |
11 |
Correct |
0 ms |
348 KB |
answer = YES |
12 |
Correct |
0 ms |
348 KB |
answer = NO |
13 |
Correct |
0 ms |
348 KB |
answer = YES |
14 |
Correct |
0 ms |
348 KB |
answer = YES |
15 |
Correct |
0 ms |
348 KB |
answer = YES |
16 |
Correct |
0 ms |
348 KB |
answer = YES |
17 |
Correct |
0 ms |
348 KB |
answer = YES |
18 |
Correct |
0 ms |
348 KB |
answer = YES |
19 |
Correct |
0 ms |
348 KB |
answer = YES |
20 |
Correct |
0 ms |
348 KB |
answer = YES |
21 |
Correct |
0 ms |
348 KB |
answer = YES |
22 |
Correct |
1 ms |
344 KB |
answer = NO |
23 |
Correct |
0 ms |
348 KB |
answer = NO |
24 |
Incorrect |
0 ms |
348 KB |
jury has the better answer: jans = YES, pans = NO |
25 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
answer = YES |
2 |
Correct |
0 ms |
348 KB |
answer = YES |
3 |
Correct |
0 ms |
348 KB |
answer = YES |
4 |
Correct |
1 ms |
348 KB |
answer = NO |
5 |
Correct |
1 ms |
348 KB |
answer = YES |
6 |
Correct |
1 ms |
348 KB |
answer = YES |
7 |
Correct |
0 ms |
348 KB |
answer = YES |
8 |
Correct |
0 ms |
348 KB |
answer = YES |
9 |
Correct |
0 ms |
348 KB |
answer = NO |
10 |
Correct |
0 ms |
348 KB |
answer = YES |
11 |
Correct |
0 ms |
348 KB |
answer = YES |
12 |
Correct |
0 ms |
348 KB |
answer = NO |
13 |
Correct |
0 ms |
348 KB |
answer = YES |
14 |
Correct |
0 ms |
348 KB |
answer = YES |
15 |
Correct |
0 ms |
348 KB |
answer = YES |
16 |
Correct |
0 ms |
348 KB |
answer = YES |
17 |
Correct |
0 ms |
348 KB |
answer = YES |
18 |
Correct |
0 ms |
348 KB |
answer = YES |
19 |
Correct |
0 ms |
348 KB |
answer = YES |
20 |
Correct |
0 ms |
348 KB |
answer = YES |
21 |
Correct |
0 ms |
348 KB |
answer = YES |
22 |
Correct |
1 ms |
344 KB |
answer = NO |
23 |
Correct |
0 ms |
348 KB |
answer = NO |
24 |
Incorrect |
0 ms |
348 KB |
jury has the better answer: jans = YES, pans = NO |
25 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
answer = YES |
2 |
Correct |
0 ms |
348 KB |
answer = YES |
3 |
Correct |
0 ms |
348 KB |
answer = YES |
4 |
Correct |
1 ms |
348 KB |
answer = NO |
5 |
Correct |
1 ms |
348 KB |
answer = YES |
6 |
Correct |
1 ms |
348 KB |
answer = YES |
7 |
Correct |
0 ms |
348 KB |
answer = YES |
8 |
Correct |
0 ms |
348 KB |
answer = YES |
9 |
Correct |
0 ms |
348 KB |
answer = NO |
10 |
Correct |
0 ms |
348 KB |
answer = YES |
11 |
Correct |
0 ms |
348 KB |
answer = YES |
12 |
Correct |
0 ms |
348 KB |
answer = NO |
13 |
Correct |
0 ms |
348 KB |
answer = YES |
14 |
Correct |
0 ms |
348 KB |
answer = YES |
15 |
Correct |
0 ms |
348 KB |
answer = YES |
16 |
Correct |
0 ms |
348 KB |
answer = YES |
17 |
Correct |
0 ms |
348 KB |
answer = YES |
18 |
Correct |
0 ms |
348 KB |
answer = YES |
19 |
Correct |
0 ms |
348 KB |
answer = YES |
20 |
Correct |
0 ms |
348 KB |
answer = YES |
21 |
Correct |
0 ms |
348 KB |
answer = YES |
22 |
Correct |
1 ms |
344 KB |
answer = NO |
23 |
Correct |
0 ms |
348 KB |
answer = NO |
24 |
Incorrect |
0 ms |
348 KB |
jury has the better answer: jans = YES, pans = NO |
25 |
Halted |
0 ms |
0 KB |
- |