#include <bits/stdc++.h>
#define ll long long
#define ar array
#define db double
#define all(x) x.begin(), x.end()
#define sz(x) (int)x.size()
using namespace std;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
#define rint(l, r) uniform_int_distribution<int>(l, r)(rng)
template<typename T> bool ckmin(T &a, const T &b) { return a > b ? a = b, 1 : 0; }
template<typename T> bool ckmax(T &a, const T &b) { return a < b ? a = b, 1 : 0; }
void test_case() {
int n, m;
cin >> n >> m;
vector<vector<ar<int, 2>>> adj(n+1);
for (int i = 0; i < m; i++) {
int x, y, w;
cin >> x >> y >> w;
adj[x].push_back({y, 2*w});
adj[y].push_back({x, 2*w});
}
vector<int> ans(n+1);
vector<bool> vis2(n+1);
vector<int> each(n+1), time(n+1);
int timer = 1;
for (int v = 1; v <= n; v++) if (!vis2[v]) {
int comp_size = 0;
vector<ar<int, 3>> edges;
auto dfs = [&](auto&& s, int v) -> void {
comp_size++, vis2[v] = 1;
for (auto [u, w] : adj[v]) {
if (!vis2[u]) s(s, u);
edges.push_back({v, u, w});
}
};
dfs(dfs, v);
int ans2 = 1e9;
bool found = 0;
for (int i = -2*comp_size; i <= 2*comp_size; i++) {
each[v] = i;
vector<int> used;
int sum = 0;
auto dfs2 = [&](auto&& s, int v) -> void {
time[v] = timer;
used.emplace_back(v);
sum += abs(each[v]);
for (auto [u, w] : adj[v]) if (time[u] != timer) {
each[u] = w - each[v];
s(s, u);
}
};
dfs2(dfs2, v);
timer++;
bool ok = 1;
for (auto [x, y, w] : edges) {
if (each[x] + each[y] != w) {
ok = 0;
break;
}
}
if (ok && ckmin(ans2, sum)) {
found = 1;
for (int x : used) {
ans[x] = each[x];
}
}
}
if (!found) {
cout << "NO\n";
return;
}
}
cout << "YES\n";
cout << fixed << setprecision(1);
for (int i = 1; i <= n; i++) cout << (db)ans[i] / 2 << " \n"[i==n];
}
int main() {
cin.tie(0)->sync_with_stdio(0);
int t = 1;
// cin >> t;
while (t--) test_case();
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
answer = YES |
2 |
Correct |
0 ms |
348 KB |
answer = YES |
3 |
Correct |
0 ms |
460 KB |
answer = YES |
4 |
Correct |
0 ms |
348 KB |
answer = NO |
5 |
Correct |
0 ms |
344 KB |
answer = YES |
6 |
Correct |
0 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 |
344 KB |
answer = YES |
16 |
Correct |
1 ms |
348 KB |
answer = YES |
17 |
Correct |
1 ms |
348 KB |
answer = YES |
18 |
Correct |
0 ms |
460 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 |
0 ms |
348 KB |
answer = NO |
23 |
Correct |
0 ms |
344 KB |
answer = NO |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
answer = YES |
2 |
Correct |
0 ms |
348 KB |
answer = YES |
3 |
Correct |
0 ms |
460 KB |
answer = YES |
4 |
Correct |
0 ms |
348 KB |
answer = NO |
5 |
Correct |
0 ms |
344 KB |
answer = YES |
6 |
Correct |
0 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 |
344 KB |
answer = YES |
16 |
Correct |
1 ms |
348 KB |
answer = YES |
17 |
Correct |
1 ms |
348 KB |
answer = YES |
18 |
Correct |
0 ms |
460 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 |
0 ms |
348 KB |
answer = NO |
23 |
Correct |
0 ms |
344 KB |
answer = NO |
24 |
Correct |
1 ms |
460 KB |
answer = YES |
25 |
Correct |
0 ms |
348 KB |
answer = YES |
26 |
Correct |
1 ms |
460 KB |
answer = YES |
27 |
Correct |
1 ms |
348 KB |
answer = YES |
28 |
Correct |
1 ms |
348 KB |
answer = YES |
29 |
Correct |
1 ms |
348 KB |
answer = YES |
30 |
Correct |
1 ms |
348 KB |
answer = NO |
31 |
Correct |
1 ms |
348 KB |
answer = YES |
32 |
Correct |
1 ms |
348 KB |
answer = YES |
33 |
Correct |
1 ms |
600 KB |
answer = YES |
34 |
Correct |
1 ms |
348 KB |
answer = YES |
35 |
Correct |
1 ms |
348 KB |
answer = YES |
36 |
Correct |
1 ms |
348 KB |
answer = YES |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
answer = YES |
2 |
Correct |
0 ms |
348 KB |
answer = YES |
3 |
Correct |
0 ms |
460 KB |
answer = YES |
4 |
Correct |
0 ms |
348 KB |
answer = NO |
5 |
Correct |
0 ms |
344 KB |
answer = YES |
6 |
Correct |
0 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 |
344 KB |
answer = YES |
16 |
Correct |
1 ms |
348 KB |
answer = YES |
17 |
Correct |
1 ms |
348 KB |
answer = YES |
18 |
Correct |
0 ms |
460 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 |
0 ms |
348 KB |
answer = NO |
23 |
Correct |
0 ms |
344 KB |
answer = NO |
24 |
Correct |
1 ms |
460 KB |
answer = YES |
25 |
Correct |
0 ms |
348 KB |
answer = YES |
26 |
Correct |
1 ms |
460 KB |
answer = YES |
27 |
Correct |
1 ms |
348 KB |
answer = YES |
28 |
Correct |
1 ms |
348 KB |
answer = YES |
29 |
Correct |
1 ms |
348 KB |
answer = YES |
30 |
Correct |
1 ms |
348 KB |
answer = NO |
31 |
Correct |
1 ms |
348 KB |
answer = YES |
32 |
Correct |
1 ms |
348 KB |
answer = YES |
33 |
Correct |
1 ms |
600 KB |
answer = YES |
34 |
Correct |
1 ms |
348 KB |
answer = YES |
35 |
Correct |
1 ms |
348 KB |
answer = YES |
36 |
Correct |
1 ms |
348 KB |
answer = YES |
37 |
Correct |
4 ms |
348 KB |
answer = YES |
38 |
Correct |
2 ms |
348 KB |
answer = YES |
39 |
Correct |
23 ms |
548 KB |
answer = YES |
40 |
Correct |
56 ms |
564 KB |
answer = YES |
41 |
Correct |
41 ms |
348 KB |
answer = NO |
42 |
Correct |
49 ms |
564 KB |
answer = YES |
43 |
Correct |
19 ms |
600 KB |
answer = YES |
44 |
Correct |
9 ms |
344 KB |
answer = YES |
45 |
Correct |
20 ms |
560 KB |
answer = YES |
46 |
Correct |
12 ms |
528 KB |
answer = YES |
47 |
Correct |
56 ms |
568 KB |
answer = YES |
48 |
Correct |
53 ms |
568 KB |
answer = YES |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
answer = YES |
2 |
Correct |
0 ms |
348 KB |
answer = YES |
3 |
Correct |
0 ms |
460 KB |
answer = YES |
4 |
Correct |
0 ms |
348 KB |
answer = NO |
5 |
Correct |
0 ms |
344 KB |
answer = YES |
6 |
Correct |
0 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 |
344 KB |
answer = YES |
16 |
Correct |
1 ms |
348 KB |
answer = YES |
17 |
Correct |
1 ms |
348 KB |
answer = YES |
18 |
Correct |
0 ms |
460 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 |
0 ms |
348 KB |
answer = NO |
23 |
Correct |
0 ms |
344 KB |
answer = NO |
24 |
Correct |
1 ms |
460 KB |
answer = YES |
25 |
Correct |
0 ms |
348 KB |
answer = YES |
26 |
Correct |
1 ms |
460 KB |
answer = YES |
27 |
Correct |
1 ms |
348 KB |
answer = YES |
28 |
Correct |
1 ms |
348 KB |
answer = YES |
29 |
Correct |
1 ms |
348 KB |
answer = YES |
30 |
Correct |
1 ms |
348 KB |
answer = NO |
31 |
Correct |
1 ms |
348 KB |
answer = YES |
32 |
Correct |
1 ms |
348 KB |
answer = YES |
33 |
Correct |
1 ms |
600 KB |
answer = YES |
34 |
Correct |
1 ms |
348 KB |
answer = YES |
35 |
Correct |
1 ms |
348 KB |
answer = YES |
36 |
Correct |
1 ms |
348 KB |
answer = YES |
37 |
Correct |
4 ms |
348 KB |
answer = YES |
38 |
Correct |
2 ms |
348 KB |
answer = YES |
39 |
Correct |
23 ms |
548 KB |
answer = YES |
40 |
Correct |
56 ms |
564 KB |
answer = YES |
41 |
Correct |
41 ms |
348 KB |
answer = NO |
42 |
Correct |
49 ms |
564 KB |
answer = YES |
43 |
Correct |
19 ms |
600 KB |
answer = YES |
44 |
Correct |
9 ms |
344 KB |
answer = YES |
45 |
Correct |
20 ms |
560 KB |
answer = YES |
46 |
Correct |
12 ms |
528 KB |
answer = YES |
47 |
Correct |
56 ms |
568 KB |
answer = YES |
48 |
Correct |
53 ms |
568 KB |
answer = YES |
49 |
Execution timed out |
1051 ms |
1824 KB |
Time limit exceeded |
50 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
answer = YES |
2 |
Correct |
0 ms |
348 KB |
answer = YES |
3 |
Correct |
0 ms |
460 KB |
answer = YES |
4 |
Correct |
0 ms |
348 KB |
answer = NO |
5 |
Correct |
0 ms |
344 KB |
answer = YES |
6 |
Correct |
0 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 |
344 KB |
answer = YES |
16 |
Correct |
1 ms |
348 KB |
answer = YES |
17 |
Correct |
1 ms |
348 KB |
answer = YES |
18 |
Correct |
0 ms |
460 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 |
0 ms |
348 KB |
answer = NO |
23 |
Correct |
0 ms |
344 KB |
answer = NO |
24 |
Correct |
1 ms |
460 KB |
answer = YES |
25 |
Correct |
0 ms |
348 KB |
answer = YES |
26 |
Correct |
1 ms |
460 KB |
answer = YES |
27 |
Correct |
1 ms |
348 KB |
answer = YES |
28 |
Correct |
1 ms |
348 KB |
answer = YES |
29 |
Correct |
1 ms |
348 KB |
answer = YES |
30 |
Correct |
1 ms |
348 KB |
answer = NO |
31 |
Correct |
1 ms |
348 KB |
answer = YES |
32 |
Correct |
1 ms |
348 KB |
answer = YES |
33 |
Correct |
1 ms |
600 KB |
answer = YES |
34 |
Correct |
1 ms |
348 KB |
answer = YES |
35 |
Correct |
1 ms |
348 KB |
answer = YES |
36 |
Correct |
1 ms |
348 KB |
answer = YES |
37 |
Correct |
4 ms |
348 KB |
answer = YES |
38 |
Correct |
2 ms |
348 KB |
answer = YES |
39 |
Correct |
23 ms |
548 KB |
answer = YES |
40 |
Correct |
56 ms |
564 KB |
answer = YES |
41 |
Correct |
41 ms |
348 KB |
answer = NO |
42 |
Correct |
49 ms |
564 KB |
answer = YES |
43 |
Correct |
19 ms |
600 KB |
answer = YES |
44 |
Correct |
9 ms |
344 KB |
answer = YES |
45 |
Correct |
20 ms |
560 KB |
answer = YES |
46 |
Correct |
12 ms |
528 KB |
answer = YES |
47 |
Correct |
56 ms |
568 KB |
answer = YES |
48 |
Correct |
53 ms |
568 KB |
answer = YES |
49 |
Execution timed out |
1051 ms |
1824 KB |
Time limit exceeded |
50 |
Halted |
0 ms |
0 KB |
- |