#include <iostream>
#include <vector>
#include <iomanip>
using namespace std;
#define ld long double
const int N = 2e5 + 10;
vector<pair<int,int>> nei[N];
int l[N],r[N],c[N];
ld a[N],b[N],inf = 1e9;
int pen[100];
void dfs1(int u,int p = 0,int v = 0,int last = 0){
if (v >= 10){
last += pen[v];
if (a[u] != inf){
if (a[u] != last){
cout<<"NO\n";
exit(0);
}
return;
}
a[u] = last;
v = 0;
}
v *= 10;
for (auto [i,j] : nei[u]){
if (i == p)
continue;
dfs1(i,u,v + j,last);
}
}
void dfs2(int u,int p = 0,int v = 0,int last = 0){
if (v >= 10){
last += pen[v];
if (b[u] != inf){
if (b[u] != last){
cout<<"NO\n";
exit(0);
}
return;
}
b[u] = last;
v = 0;
}
v *= 10;
for (auto [i,j] : nei[u]){
if (i == p)
continue;
dfs2(i,u,v * 10 + j,last);
}
}
ld k;
ld calc(ld v,int n){
ld ans = 0;
for (int i=1;i<=n;i++){
if (a[i] != inf)
ans += abs(v + a[i]);
else
ans += abs(k - v + b[i]);
}
return ans;
}
signed main(){
cout<<fixed<<setprecision(9);
int n,m;
cin>>n>>m;
pen[21] = -1;
pen[12] = +1;
for (int i=1;i<=n;i++)
a[i] = b[i] = inf;
for (int i=1;i<=m;i++){
int u,v,t;
cin>>u>>v>>t;
l[i] = u;
r[i] = v;
c[i] = t;
nei[u].push_back({v,t});
nei[v].push_back({u,t});
}
a[1] = 0;
dfs1(1);
for (int i=1;i<=m;i++){
if (a[l[i]] != inf and a[r[i]] != inf){
ld A = (c[i] - a[l[i]] - a[r[i]]) / 2.0;
cout<<"YES\n";
for (int j=1;j<=n;j++){
cout<<A + a[j]<<" ";
if (a[j] == inf)
cout<<1/0;
}
cout<<endl;
return 0;
}
}
int r2 = nei[1][0].first;
b[r2] = 0;
dfs2(r2);
k = nei[1][0].second;
ld lft = -1e5,rgt = k / 2.0;
while (rgt - lft > 0.00000001){
ld mid = (lft + rgt)/2.0;
ld frst = calc(mid,n);
ld sec = calc(min(rgt,mid + 0.00000001),n);
if (frst < sec)
rgt = mid;
else
lft = mid;
// cout<<lft<<" "<<rgt<<" "<<mid<<" "<<frst<<" "<<sec<<endl;
}
// cout<<calc(0,n)<<endl;
cout<<"YES"<<endl;
for (int i=1;i<=n;i++){
if (a[i] == inf and b[i] == inf)
cout<<1/0;
if (a[i] != inf)
cout<<lft + a[i]<<" ";
else
cout<<k - lft + b[i]<<" ";
}
cout<<endl;
}
Compilation message
Graph.cpp: In function 'int main()':
Graph.cpp:94:13: warning: division by zero [-Wdiv-by-zero]
94 | cout<<1/0;
| ~^~
Graph.cpp:124:11: warning: division by zero [-Wdiv-by-zero]
124 | cout<<1/0;
| ~^~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
11356 KB |
answer = YES |
2 |
Correct |
2 ms |
11352 KB |
answer = YES |
3 |
Correct |
2 ms |
11352 KB |
answer = YES |
4 |
Correct |
2 ms |
11356 KB |
answer = NO |
5 |
Runtime error |
11 ms |
22956 KB |
Execution killed with signal 4 |
6 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
11356 KB |
answer = YES |
2 |
Correct |
2 ms |
11352 KB |
answer = YES |
3 |
Correct |
2 ms |
11352 KB |
answer = YES |
4 |
Correct |
2 ms |
11356 KB |
answer = NO |
5 |
Runtime error |
11 ms |
22956 KB |
Execution killed with signal 4 |
6 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
11356 KB |
answer = YES |
2 |
Correct |
2 ms |
11352 KB |
answer = YES |
3 |
Correct |
2 ms |
11352 KB |
answer = YES |
4 |
Correct |
2 ms |
11356 KB |
answer = NO |
5 |
Runtime error |
11 ms |
22956 KB |
Execution killed with signal 4 |
6 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
11356 KB |
answer = YES |
2 |
Correct |
2 ms |
11352 KB |
answer = YES |
3 |
Correct |
2 ms |
11352 KB |
answer = YES |
4 |
Correct |
2 ms |
11356 KB |
answer = NO |
5 |
Runtime error |
11 ms |
22956 KB |
Execution killed with signal 4 |
6 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
11356 KB |
answer = YES |
2 |
Correct |
2 ms |
11352 KB |
answer = YES |
3 |
Correct |
2 ms |
11352 KB |
answer = YES |
4 |
Correct |
2 ms |
11356 KB |
answer = NO |
5 |
Runtime error |
11 ms |
22956 KB |
Execution killed with signal 4 |
6 |
Halted |
0 ms |
0 KB |
- |