//#pragma GCC optimize("Ofast,O3,unroll-loops")
//#pragma GCC target("avx2")
#include <bits/stdc++.h>
using namespace std;
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define bpc(x) __builtin_popcount(x)
#define bpcll(x) __builtin_popcountll(x)
#define MP make_pair
//#define endl '\n'
mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
typedef long long ll;
const int MOD = 1e9 + 7;
const int N = 1e6 + 3e2;
vector<pair<int, int>> g[N];
pair<int, int> dp[N];
vector<pair<int, int>> equations[N];
pair<int, int> f(int t, pair<int, int> a){
return make_pair(-a.first, t - a.second);
}
bool used[N];
vector<int> comp;
void dfs(int v){
used[v] = true;
comp.push_back(v);
equations[v].push_back(dp[v]);
for (auto [u, x] : g[v]){
if (!used[u]) {
dp[u] = f(x, dp[v]);
dfs(u);
}
equations[v].push_back(f(x, dp[u]));
}
}
long double val[N];
void solve(){
int n, m;
cin >> n >> m;
for (int i = 1; i <= n; i++){
int u, v, x;
cin >> u >> v >> x;
g[u].emplace_back(v, x);
g[v].emplace_back(u, x);
}
for (int t = 1; t <= n; t++){
if (used[t]) continue;
dp[t] = make_pair(1, 0);
dfs(t);
pair<int, int> sol = MP(1, 1);
bool found = false;
for (int v : comp){
for (int i = 0; i + 1 < equations[v].size(); i++){
auto p = equations[v][i];
auto q = equations[v][i + 1];
if (p == q) continue;
int a = q.second - p.second;
int b = p.first - q.first;
if (b == 0){
cout << "NO" << endl;
return;
}
int gg = __gcd(a, b);
a /= gg, b /= gg;
if (a < 0) a *= -1, b *= -1;
if (!found){
found = true;
sol = MP(a, b);
} else if (sol != MP(a, b)){
cout << "NO" << endl;
return;
}
}
}
for (int v : comp){
val[v] = (long double) dp[v].first * sol.first / sol.second + dp[v].second;
}
}
cout << fixed << setprecision(7);
cout << "YES" << endl;
for (int i = 1; i <= n; i++){
cout << val[i] << ' ';
}
cout << endl;
}
int main(){
clock_t startTime = clock();
ios_base::sync_with_stdio(false);
#ifdef LOCAL
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif
int test_cases = 1;
// cin >> test_cases;
for (int test = 1; test <= test_cases; test++){
// cout << (solve() ? "YES" : "NO") << endl;
solve();
}
cerr << "Time: " << int((double) (clock() - startTime) / CLOCKS_PER_SEC * 1000) << " ms" << endl;
return 0;
}
Compilation message
Graph.cpp: In function 'void solve()':
Graph.cpp:69:35: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
69 | for (int i = 0; i + 1 < equations[v].size(); i++){
| ~~~~~~^~~~~~~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
23 ms |
47316 KB |
answer = YES |
2 |
Correct |
24 ms |
47308 KB |
answer = YES |
3 |
Incorrect |
22 ms |
47316 KB |
participant answer is larger than the answer of jury |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
23 ms |
47316 KB |
answer = YES |
2 |
Correct |
24 ms |
47308 KB |
answer = YES |
3 |
Incorrect |
22 ms |
47316 KB |
participant answer is larger than the answer of jury |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
23 ms |
47316 KB |
answer = YES |
2 |
Correct |
24 ms |
47308 KB |
answer = YES |
3 |
Incorrect |
22 ms |
47316 KB |
participant answer is larger than the answer of jury |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
23 ms |
47316 KB |
answer = YES |
2 |
Correct |
24 ms |
47308 KB |
answer = YES |
3 |
Incorrect |
22 ms |
47316 KB |
participant answer is larger than the answer of jury |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
23 ms |
47316 KB |
answer = YES |
2 |
Correct |
24 ms |
47308 KB |
answer = YES |
3 |
Incorrect |
22 ms |
47316 KB |
participant answer is larger than the answer of jury |
4 |
Halted |
0 ms |
0 KB |
- |