/**
* author: kututay
* created: 20.09.2022 13:13:02
**/
#include <bits/stdc++.h>
using namespace std;
#ifdef DEBUG
#include "/Users/kutay/CP/templates/debug.h"
#else
#define debug(...) void(38)
#endif
const double epsilon = 1e-6;
int32_t main() {
ios_base::sync_with_stdio(0); cin.tie(0);
int n, m; cin >> n >> m;
vector<vector<pair<int, int>>> g(n);
vector<pair<pair<int, int>, int>> edges(m);
for (int i = 0; i < m; i++) {
int x, y, z; cin >> x >> y >> z, x--, y--;
g[x].emplace_back(y, z);
g[y].emplace_back(x, z);
}
vector<double> ans(n);
vector<int> components_vis(n);
auto solve = [&](int node) {
vector<pair<int, int>> n_vals(n, make_pair(0, 0)); // (first * x + second) - node values
vector<int> cycle_vis(n);
bool cycle = false;
vector<pair<pair<int, int>, int>> edges;
set<int> nodes;
function<void(int, int, int)> find_cycle = [&](int node, int parent, int color) {
nodes.insert(node);
if (cycle_vis[node]) {
cycle = true;
return;
}
cycle_vis[node] = 1;
components_vis[node] = 1;
for (auto next : g[node]) {
edges.emplace_back(make_pair(node, next.first), next.second);
if (parent == -1) n_vals[node] = make_pair(1, 0);
else n_vals[node] = make_pair(-n_vals[parent].first, color - n_vals[parent].second);
if (next.first != parent) find_cycle(next.first, node, next.second);
}
};
find_cycle(node, -1, -1);
debug(edges, n_vals);
double x;
if ((int) edges.size() == 0) return;
bool flag = false;
for (auto [p, color] : edges) {
auto a = n_vals[p.first];
auto b = n_vals[p.second];
pair<int, int> should = make_pair(-a.first, color - a.second);
if (b == should) continue;
pair<int, int> sum = make_pair(b.first + a.first, color - (b.second + a.second));
if (sum.first == 0) {
cout << "NO\n";
exit(0);
}
x = (double) sum.second / sum.first;
flag = true;
}
debug(flag, cycle, x);
if (flag == false or cycle == false) {
double s1 = 0, s2 = 0;
for (int i = 0; i < n; i++) {
s1 += abs(n_vals[i].first * 1 + n_vals[i].second);
s2 += abs(n_vals[i].first * 0 + n_vals[i].second);
}
if (s1 < s2) {
x = 1;
} else {
x = 0;
}
for (int i : nodes) {
ans[i] = n_vals[i].first * x + n_vals[i].second;
}
return;
}
for (auto [p, color] : edges) {
auto a = n_vals[p.first];
auto b = n_vals[p.second];
double sum = a.first * x + a.second + b.first * x + b.second;
if (abs(sum - color) > epsilon) {
cout << "NO\n";
exit(0);
}
}
for (int i : nodes) {
ans[i] = n_vals[i].first * x + n_vals[i].second;
}
debug(ans);
};
for (int i = 0; i < n; i++) {
if (components_vis[i]) continue;
solve(i);
}
cout << "YES\n";
for (auto x : ans) cout << x << " ";
cout << '\n';
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
answer = YES |
2 |
Correct |
0 ms |
212 KB |
answer = YES |
3 |
Correct |
0 ms |
212 KB |
answer = YES |
4 |
Correct |
0 ms |
212 KB |
answer = NO |
5 |
Correct |
0 ms |
212 KB |
answer = YES |
6 |
Correct |
0 ms |
212 KB |
answer = YES |
7 |
Correct |
1 ms |
212 KB |
answer = YES |
8 |
Correct |
1 ms |
212 KB |
answer = YES |
9 |
Correct |
0 ms |
212 KB |
answer = NO |
10 |
Correct |
0 ms |
212 KB |
answer = YES |
11 |
Correct |
0 ms |
212 KB |
answer = YES |
12 |
Correct |
1 ms |
212 KB |
answer = NO |
13 |
Correct |
0 ms |
212 KB |
answer = YES |
14 |
Correct |
0 ms |
212 KB |
answer = YES |
15 |
Correct |
0 ms |
212 KB |
answer = YES |
16 |
Correct |
0 ms |
212 KB |
answer = YES |
17 |
Correct |
0 ms |
212 KB |
answer = YES |
18 |
Correct |
0 ms |
212 KB |
answer = YES |
19 |
Correct |
0 ms |
212 KB |
answer = YES |
20 |
Correct |
0 ms |
212 KB |
answer = YES |
21 |
Correct |
0 ms |
212 KB |
answer = YES |
22 |
Correct |
0 ms |
212 KB |
answer = NO |
23 |
Correct |
1 ms |
212 KB |
answer = NO |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
answer = YES |
2 |
Correct |
0 ms |
212 KB |
answer = YES |
3 |
Correct |
0 ms |
212 KB |
answer = YES |
4 |
Correct |
0 ms |
212 KB |
answer = NO |
5 |
Correct |
0 ms |
212 KB |
answer = YES |
6 |
Correct |
0 ms |
212 KB |
answer = YES |
7 |
Correct |
1 ms |
212 KB |
answer = YES |
8 |
Correct |
1 ms |
212 KB |
answer = YES |
9 |
Correct |
0 ms |
212 KB |
answer = NO |
10 |
Correct |
0 ms |
212 KB |
answer = YES |
11 |
Correct |
0 ms |
212 KB |
answer = YES |
12 |
Correct |
1 ms |
212 KB |
answer = NO |
13 |
Correct |
0 ms |
212 KB |
answer = YES |
14 |
Correct |
0 ms |
212 KB |
answer = YES |
15 |
Correct |
0 ms |
212 KB |
answer = YES |
16 |
Correct |
0 ms |
212 KB |
answer = YES |
17 |
Correct |
0 ms |
212 KB |
answer = YES |
18 |
Correct |
0 ms |
212 KB |
answer = YES |
19 |
Correct |
0 ms |
212 KB |
answer = YES |
20 |
Correct |
0 ms |
212 KB |
answer = YES |
21 |
Correct |
0 ms |
212 KB |
answer = YES |
22 |
Correct |
0 ms |
212 KB |
answer = NO |
23 |
Correct |
1 ms |
212 KB |
answer = NO |
24 |
Correct |
1 ms |
340 KB |
answer = YES |
25 |
Incorrect |
1 ms |
316 KB |
participant answer is larger than the answer of jury |
26 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
answer = YES |
2 |
Correct |
0 ms |
212 KB |
answer = YES |
3 |
Correct |
0 ms |
212 KB |
answer = YES |
4 |
Correct |
0 ms |
212 KB |
answer = NO |
5 |
Correct |
0 ms |
212 KB |
answer = YES |
6 |
Correct |
0 ms |
212 KB |
answer = YES |
7 |
Correct |
1 ms |
212 KB |
answer = YES |
8 |
Correct |
1 ms |
212 KB |
answer = YES |
9 |
Correct |
0 ms |
212 KB |
answer = NO |
10 |
Correct |
0 ms |
212 KB |
answer = YES |
11 |
Correct |
0 ms |
212 KB |
answer = YES |
12 |
Correct |
1 ms |
212 KB |
answer = NO |
13 |
Correct |
0 ms |
212 KB |
answer = YES |
14 |
Correct |
0 ms |
212 KB |
answer = YES |
15 |
Correct |
0 ms |
212 KB |
answer = YES |
16 |
Correct |
0 ms |
212 KB |
answer = YES |
17 |
Correct |
0 ms |
212 KB |
answer = YES |
18 |
Correct |
0 ms |
212 KB |
answer = YES |
19 |
Correct |
0 ms |
212 KB |
answer = YES |
20 |
Correct |
0 ms |
212 KB |
answer = YES |
21 |
Correct |
0 ms |
212 KB |
answer = YES |
22 |
Correct |
0 ms |
212 KB |
answer = NO |
23 |
Correct |
1 ms |
212 KB |
answer = NO |
24 |
Correct |
1 ms |
340 KB |
answer = YES |
25 |
Incorrect |
1 ms |
316 KB |
participant answer is larger than the answer of jury |
26 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
answer = YES |
2 |
Correct |
0 ms |
212 KB |
answer = YES |
3 |
Correct |
0 ms |
212 KB |
answer = YES |
4 |
Correct |
0 ms |
212 KB |
answer = NO |
5 |
Correct |
0 ms |
212 KB |
answer = YES |
6 |
Correct |
0 ms |
212 KB |
answer = YES |
7 |
Correct |
1 ms |
212 KB |
answer = YES |
8 |
Correct |
1 ms |
212 KB |
answer = YES |
9 |
Correct |
0 ms |
212 KB |
answer = NO |
10 |
Correct |
0 ms |
212 KB |
answer = YES |
11 |
Correct |
0 ms |
212 KB |
answer = YES |
12 |
Correct |
1 ms |
212 KB |
answer = NO |
13 |
Correct |
0 ms |
212 KB |
answer = YES |
14 |
Correct |
0 ms |
212 KB |
answer = YES |
15 |
Correct |
0 ms |
212 KB |
answer = YES |
16 |
Correct |
0 ms |
212 KB |
answer = YES |
17 |
Correct |
0 ms |
212 KB |
answer = YES |
18 |
Correct |
0 ms |
212 KB |
answer = YES |
19 |
Correct |
0 ms |
212 KB |
answer = YES |
20 |
Correct |
0 ms |
212 KB |
answer = YES |
21 |
Correct |
0 ms |
212 KB |
answer = YES |
22 |
Correct |
0 ms |
212 KB |
answer = NO |
23 |
Correct |
1 ms |
212 KB |
answer = NO |
24 |
Correct |
1 ms |
340 KB |
answer = YES |
25 |
Incorrect |
1 ms |
316 KB |
participant answer is larger than the answer of jury |
26 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
answer = YES |
2 |
Correct |
0 ms |
212 KB |
answer = YES |
3 |
Correct |
0 ms |
212 KB |
answer = YES |
4 |
Correct |
0 ms |
212 KB |
answer = NO |
5 |
Correct |
0 ms |
212 KB |
answer = YES |
6 |
Correct |
0 ms |
212 KB |
answer = YES |
7 |
Correct |
1 ms |
212 KB |
answer = YES |
8 |
Correct |
1 ms |
212 KB |
answer = YES |
9 |
Correct |
0 ms |
212 KB |
answer = NO |
10 |
Correct |
0 ms |
212 KB |
answer = YES |
11 |
Correct |
0 ms |
212 KB |
answer = YES |
12 |
Correct |
1 ms |
212 KB |
answer = NO |
13 |
Correct |
0 ms |
212 KB |
answer = YES |
14 |
Correct |
0 ms |
212 KB |
answer = YES |
15 |
Correct |
0 ms |
212 KB |
answer = YES |
16 |
Correct |
0 ms |
212 KB |
answer = YES |
17 |
Correct |
0 ms |
212 KB |
answer = YES |
18 |
Correct |
0 ms |
212 KB |
answer = YES |
19 |
Correct |
0 ms |
212 KB |
answer = YES |
20 |
Correct |
0 ms |
212 KB |
answer = YES |
21 |
Correct |
0 ms |
212 KB |
answer = YES |
22 |
Correct |
0 ms |
212 KB |
answer = NO |
23 |
Correct |
1 ms |
212 KB |
answer = NO |
24 |
Correct |
1 ms |
340 KB |
answer = YES |
25 |
Incorrect |
1 ms |
316 KB |
participant answer is larger than the answer of jury |
26 |
Halted |
0 ms |
0 KB |
- |