// "We create our own demons."
#include <bits/stdc++.h>
using namespace std;
#ifdef ONPC
#include "debug.h"
#else
#define dbg(...)
#endif
#define int long long
#define ll long long
#define ld long double
#define pi pair<int, int>
// vector
#define sz(a) (int)((a).size())
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define maxel(x) (*max_element(all(x)))
#define minel(x) (*min_element(all(x)))
#define maxpos(x) (max_element(all(x)) - x.begin())
#define minpos(x) (min_element(all(x)) - x.begin())
#define srt(x) (sort(all(x)))
#define rev(x) (reverse(all(x)))
// bitwise operations
#define cnt_bit(n) __builtin_popcountll(n)
#define low_bit(n) ((n) & (-(n)))
#define bit(n, i) (((n) >> (i)) & 1)
#define set_bit(n, i) ((n) | (1LL << (i)))
#define reset_bit(n, i) ((n) & ~(1LL << (i)))
#define flip_bit(n, i) ((n) ^ (1LL << (i)))
// math
#define sqr(n) ((n) * (n))
#define divup(a, b) (((a) + (b)-1) / (b))
// ostream
#define Fixed(a) cout << fixed << setprecision(12) << a;
template <class T> void chmin(T& a, const T& b) { return b < a ? a = b, 1 : 0; }
template <class T> void chmax(T& a, const T& b) { return b > a ? a = b, 1 : 0; }
template <class T> using min_queue = priority_queue<T, vector<T>, greater<T>>;
template <class T> using max_queue = priority_queue<T, vector<T>, less<T>>;
template <class T> using V = vector<T>;
using vi = V<int>;
using vd = V<ld>;
using vb = V<bool>;
using vpi = V<pi>;
using vvi = V<vi>;
using vvb = V<vb>;
const int mod = 1e9 + 7; // 998244353 1e9 + 7
const ll inf = (int)(1e18) + 7;
const int inf_s = 1e9 + 7;
const ld eps = 1e-9;
const int B = 32;
const int N = 1000 + 3;
const int logn = 20;
const int maxn = 1e5 + 7;
/////////////////////////solve/////////////////////////
vpi g[maxn];
pi a[maxn];
ld ans[maxn];
int used[maxn];
vi t;
void dfs(int v) {
t.push_back(v);
used[v] = 1;
for (auto& [u, c] : g[v]) {
if (!used[u]) {
a[u] = {c - a[v].first, -a[v].second};
dfs(u);
}
}
}
void solve() {
int n, m;
cin >> n >> m;
for (int i = 0; i < m; ++i) {
int v, u, c;
cin >> v >> u >> c;
--v; --u;
g[v].push_back({u, c});
g[u].push_back({v, c});
}
for (int i = 0; i < n; ++i) {
if (used[i]) continue;
a[i] = {0, 1};
t.clear();
dfs(i);
ld rt = 0;
bool bad = 0, was = 0;
for (auto v : t) {
for (auto& [u, c] : g[v]) {
ld q1 = a[v].second + a[u].second;
ld q2 = a[v].first + a[u].first;
if (q1 == 0) {
if (q2 != c) bad = 1;
continue;
}
ld nrt = (c - q2) / q1;
dbg(i, nrt, v, u);
if (was && rt == nrt) continue;
else if (!was) {
was = 1;
rt = nrt;
}
else bad = 1;
}
}
if (bad) {
cout << "NO\n";
return;
}
dbg(i, was, rt);
if (!was) rt = 0;
for (auto v : t) {
ans[v] = a[v].first + a[v].second * rt;
}
}
cout << "YES\n";
for (int i = 0; i < n; ++i) {
cout << ans[i] << " ";
}
}
signed main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
#ifdef ONPC
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
freopen("error.txt", "w", stderr);
#endif
int t = 1;
//cin >> t;
for (int i = 1; i <= t; ++i) {
#ifdef ONPC
cerr << "===========" << i << "===========" << '\n';
#endif
solve();
}
#ifdef ONPC
cerr << endl << "Time " << clock() * 1.0 / CLOCKS_PER_SEC << " sec" << endl;
#endif
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
6492 KB |
answer = YES |
2 |
Correct |
1 ms |
6492 KB |
answer = YES |
3 |
Correct |
2 ms |
6488 KB |
answer = YES |
4 |
Correct |
1 ms |
4444 KB |
answer = NO |
5 |
Correct |
1 ms |
6492 KB |
answer = YES |
6 |
Incorrect |
1 ms |
6492 KB |
participant answer is larger than the answer of jury |
7 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
6492 KB |
answer = YES |
2 |
Correct |
1 ms |
6492 KB |
answer = YES |
3 |
Correct |
2 ms |
6488 KB |
answer = YES |
4 |
Correct |
1 ms |
4444 KB |
answer = NO |
5 |
Correct |
1 ms |
6492 KB |
answer = YES |
6 |
Incorrect |
1 ms |
6492 KB |
participant answer is larger than the answer of jury |
7 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
6492 KB |
answer = YES |
2 |
Correct |
1 ms |
6492 KB |
answer = YES |
3 |
Correct |
2 ms |
6488 KB |
answer = YES |
4 |
Correct |
1 ms |
4444 KB |
answer = NO |
5 |
Correct |
1 ms |
6492 KB |
answer = YES |
6 |
Incorrect |
1 ms |
6492 KB |
participant answer is larger than the answer of jury |
7 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
6492 KB |
answer = YES |
2 |
Correct |
1 ms |
6492 KB |
answer = YES |
3 |
Correct |
2 ms |
6488 KB |
answer = YES |
4 |
Correct |
1 ms |
4444 KB |
answer = NO |
5 |
Correct |
1 ms |
6492 KB |
answer = YES |
6 |
Incorrect |
1 ms |
6492 KB |
participant answer is larger than the answer of jury |
7 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
6492 KB |
answer = YES |
2 |
Correct |
1 ms |
6492 KB |
answer = YES |
3 |
Correct |
2 ms |
6488 KB |
answer = YES |
4 |
Correct |
1 ms |
4444 KB |
answer = NO |
5 |
Correct |
1 ms |
6492 KB |
answer = YES |
6 |
Incorrect |
1 ms |
6492 KB |
participant answer is larger than the answer of jury |
7 |
Halted |
0 ms |
0 KB |
- |