#include <bits/stdc++.h>
template <class T>
using Vec = std::vector<T>;
int main() {
int N, M;
std::cin >> N >> M;
Vec<int> A(M), B(M), C(M);
Vec<Vec<std::pair<int, int>>> graph(N);
for (int i = 0; i < M; ++i) {
std::cin >> A[i] >> B[i] >> C[i];
A[i] -= 1;
B[i] -= 1;
C[i] *= 2;
graph[A[i]].emplace_back(B[i], C[i]);
graph[B[i]].emplace_back(A[i], C[i]);
}
Vec<bool> done(N);
Vec<std::pair<int, int>> coeff(N);
Vec<int> val(N);
Vec<int> visited;
auto dfs = [&](auto&& dfs, const int u) -> void {
done[u] = true;
visited.push_back(u);
for (const auto [v, c]: graph[u]) {
if (!done[v]) {
coeff[v].first = -coeff[u].first;
coeff[v].second = c - coeff[u].second;
dfs(dfs, v);
}
}
};
for (int src = 0; src < N; ++src) {
if (!done[src]) {
coeff[src].first = 1;
coeff[src].second = 0;
dfs(dfs, src);
bool sole = false;
Vec<int> pts;
for (const auto u: visited) {
pts.push_back(-coeff[u].first * coeff[u].second);
for (const auto [v, c]: graph[u]) {
if (coeff[u].first == coeff[v].first) {
val[src] = (c - coeff[u].second - coeff[v].second) / (coeff[u].first + coeff[v].first);
sole = true;
}
}
}
if (!sole) {
std::sort(pts.begin(), pts.end());
val[src] = pts[pts.size() / 2];
}
for (const auto u: visited) {
if (u != src) {
val[u] = val[src] * coeff[u].first + coeff[u].second;
}
}
visited.clear();
}
}
for (int i = 0; i < M; ++i) {
if (val[A[i]] + val[B[i]] != C[i]) {
std::cout << "NO\n";
return 0;
}
}
std::cout << "YES\n";
for (int i = 0; i < N; ++i) {
std::cout << (double) val[i] / 2 << " \n"[i + 1 == N];
}
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
204 KB |
answer = YES |
2 |
Correct |
1 ms |
204 KB |
answer = YES |
3 |
Correct |
1 ms |
204 KB |
answer = YES |
4 |
Correct |
1 ms |
296 KB |
answer = NO |
5 |
Correct |
1 ms |
268 KB |
answer = YES |
6 |
Correct |
1 ms |
204 KB |
answer = YES |
7 |
Correct |
1 ms |
204 KB |
answer = YES |
8 |
Correct |
1 ms |
204 KB |
answer = YES |
9 |
Correct |
1 ms |
208 KB |
answer = NO |
10 |
Correct |
1 ms |
204 KB |
answer = YES |
11 |
Correct |
1 ms |
204 KB |
answer = YES |
12 |
Correct |
1 ms |
204 KB |
answer = NO |
13 |
Correct |
1 ms |
204 KB |
answer = YES |
14 |
Correct |
1 ms |
204 KB |
answer = YES |
15 |
Correct |
1 ms |
204 KB |
answer = YES |
16 |
Correct |
1 ms |
204 KB |
answer = YES |
17 |
Correct |
1 ms |
204 KB |
answer = YES |
18 |
Correct |
1 ms |
204 KB |
answer = YES |
19 |
Correct |
1 ms |
204 KB |
answer = YES |
20 |
Correct |
1 ms |
292 KB |
answer = YES |
21 |
Correct |
1 ms |
204 KB |
answer = YES |
22 |
Correct |
1 ms |
204 KB |
answer = NO |
23 |
Correct |
1 ms |
204 KB |
answer = NO |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
204 KB |
answer = YES |
2 |
Correct |
1 ms |
204 KB |
answer = YES |
3 |
Correct |
1 ms |
204 KB |
answer = YES |
4 |
Correct |
1 ms |
296 KB |
answer = NO |
5 |
Correct |
1 ms |
268 KB |
answer = YES |
6 |
Correct |
1 ms |
204 KB |
answer = YES |
7 |
Correct |
1 ms |
204 KB |
answer = YES |
8 |
Correct |
1 ms |
204 KB |
answer = YES |
9 |
Correct |
1 ms |
208 KB |
answer = NO |
10 |
Correct |
1 ms |
204 KB |
answer = YES |
11 |
Correct |
1 ms |
204 KB |
answer = YES |
12 |
Correct |
1 ms |
204 KB |
answer = NO |
13 |
Correct |
1 ms |
204 KB |
answer = YES |
14 |
Correct |
1 ms |
204 KB |
answer = YES |
15 |
Correct |
1 ms |
204 KB |
answer = YES |
16 |
Correct |
1 ms |
204 KB |
answer = YES |
17 |
Correct |
1 ms |
204 KB |
answer = YES |
18 |
Correct |
1 ms |
204 KB |
answer = YES |
19 |
Correct |
1 ms |
204 KB |
answer = YES |
20 |
Correct |
1 ms |
292 KB |
answer = YES |
21 |
Correct |
1 ms |
204 KB |
answer = YES |
22 |
Correct |
1 ms |
204 KB |
answer = NO |
23 |
Correct |
1 ms |
204 KB |
answer = NO |
24 |
Correct |
1 ms |
204 KB |
answer = YES |
25 |
Correct |
1 ms |
204 KB |
answer = YES |
26 |
Correct |
1 ms |
204 KB |
answer = YES |
27 |
Correct |
1 ms |
204 KB |
answer = YES |
28 |
Correct |
1 ms |
204 KB |
answer = YES |
29 |
Correct |
1 ms |
204 KB |
answer = YES |
30 |
Correct |
1 ms |
204 KB |
answer = NO |
31 |
Correct |
1 ms |
204 KB |
answer = YES |
32 |
Correct |
1 ms |
204 KB |
answer = YES |
33 |
Correct |
1 ms |
204 KB |
answer = YES |
34 |
Correct |
1 ms |
204 KB |
answer = YES |
35 |
Correct |
1 ms |
208 KB |
answer = YES |
36 |
Correct |
1 ms |
204 KB |
answer = YES |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
204 KB |
answer = YES |
2 |
Correct |
1 ms |
204 KB |
answer = YES |
3 |
Correct |
1 ms |
204 KB |
answer = YES |
4 |
Correct |
1 ms |
296 KB |
answer = NO |
5 |
Correct |
1 ms |
268 KB |
answer = YES |
6 |
Correct |
1 ms |
204 KB |
answer = YES |
7 |
Correct |
1 ms |
204 KB |
answer = YES |
8 |
Correct |
1 ms |
204 KB |
answer = YES |
9 |
Correct |
1 ms |
208 KB |
answer = NO |
10 |
Correct |
1 ms |
204 KB |
answer = YES |
11 |
Correct |
1 ms |
204 KB |
answer = YES |
12 |
Correct |
1 ms |
204 KB |
answer = NO |
13 |
Correct |
1 ms |
204 KB |
answer = YES |
14 |
Correct |
1 ms |
204 KB |
answer = YES |
15 |
Correct |
1 ms |
204 KB |
answer = YES |
16 |
Correct |
1 ms |
204 KB |
answer = YES |
17 |
Correct |
1 ms |
204 KB |
answer = YES |
18 |
Correct |
1 ms |
204 KB |
answer = YES |
19 |
Correct |
1 ms |
204 KB |
answer = YES |
20 |
Correct |
1 ms |
292 KB |
answer = YES |
21 |
Correct |
1 ms |
204 KB |
answer = YES |
22 |
Correct |
1 ms |
204 KB |
answer = NO |
23 |
Correct |
1 ms |
204 KB |
answer = NO |
24 |
Correct |
1 ms |
204 KB |
answer = YES |
25 |
Correct |
1 ms |
204 KB |
answer = YES |
26 |
Correct |
1 ms |
204 KB |
answer = YES |
27 |
Correct |
1 ms |
204 KB |
answer = YES |
28 |
Correct |
1 ms |
204 KB |
answer = YES |
29 |
Correct |
1 ms |
204 KB |
answer = YES |
30 |
Correct |
1 ms |
204 KB |
answer = NO |
31 |
Correct |
1 ms |
204 KB |
answer = YES |
32 |
Correct |
1 ms |
204 KB |
answer = YES |
33 |
Correct |
1 ms |
204 KB |
answer = YES |
34 |
Correct |
1 ms |
204 KB |
answer = YES |
35 |
Correct |
1 ms |
208 KB |
answer = YES |
36 |
Correct |
1 ms |
204 KB |
answer = YES |
37 |
Correct |
1 ms |
204 KB |
answer = YES |
38 |
Correct |
1 ms |
204 KB |
answer = YES |
39 |
Correct |
1 ms |
332 KB |
answer = YES |
40 |
Correct |
2 ms |
332 KB |
answer = YES |
41 |
Correct |
1 ms |
332 KB |
answer = NO |
42 |
Correct |
2 ms |
336 KB |
answer = YES |
43 |
Correct |
2 ms |
332 KB |
answer = YES |
44 |
Correct |
2 ms |
332 KB |
answer = YES |
45 |
Correct |
2 ms |
332 KB |
answer = YES |
46 |
Correct |
1 ms |
332 KB |
answer = YES |
47 |
Correct |
2 ms |
332 KB |
answer = YES |
48 |
Correct |
2 ms |
332 KB |
answer = YES |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
204 KB |
answer = YES |
2 |
Correct |
1 ms |
204 KB |
answer = YES |
3 |
Correct |
1 ms |
204 KB |
answer = YES |
4 |
Correct |
1 ms |
296 KB |
answer = NO |
5 |
Correct |
1 ms |
268 KB |
answer = YES |
6 |
Correct |
1 ms |
204 KB |
answer = YES |
7 |
Correct |
1 ms |
204 KB |
answer = YES |
8 |
Correct |
1 ms |
204 KB |
answer = YES |
9 |
Correct |
1 ms |
208 KB |
answer = NO |
10 |
Correct |
1 ms |
204 KB |
answer = YES |
11 |
Correct |
1 ms |
204 KB |
answer = YES |
12 |
Correct |
1 ms |
204 KB |
answer = NO |
13 |
Correct |
1 ms |
204 KB |
answer = YES |
14 |
Correct |
1 ms |
204 KB |
answer = YES |
15 |
Correct |
1 ms |
204 KB |
answer = YES |
16 |
Correct |
1 ms |
204 KB |
answer = YES |
17 |
Correct |
1 ms |
204 KB |
answer = YES |
18 |
Correct |
1 ms |
204 KB |
answer = YES |
19 |
Correct |
1 ms |
204 KB |
answer = YES |
20 |
Correct |
1 ms |
292 KB |
answer = YES |
21 |
Correct |
1 ms |
204 KB |
answer = YES |
22 |
Correct |
1 ms |
204 KB |
answer = NO |
23 |
Correct |
1 ms |
204 KB |
answer = NO |
24 |
Correct |
1 ms |
204 KB |
answer = YES |
25 |
Correct |
1 ms |
204 KB |
answer = YES |
26 |
Correct |
1 ms |
204 KB |
answer = YES |
27 |
Correct |
1 ms |
204 KB |
answer = YES |
28 |
Correct |
1 ms |
204 KB |
answer = YES |
29 |
Correct |
1 ms |
204 KB |
answer = YES |
30 |
Correct |
1 ms |
204 KB |
answer = NO |
31 |
Correct |
1 ms |
204 KB |
answer = YES |
32 |
Correct |
1 ms |
204 KB |
answer = YES |
33 |
Correct |
1 ms |
204 KB |
answer = YES |
34 |
Correct |
1 ms |
204 KB |
answer = YES |
35 |
Correct |
1 ms |
208 KB |
answer = YES |
36 |
Correct |
1 ms |
204 KB |
answer = YES |
37 |
Correct |
1 ms |
204 KB |
answer = YES |
38 |
Correct |
1 ms |
204 KB |
answer = YES |
39 |
Correct |
1 ms |
332 KB |
answer = YES |
40 |
Correct |
2 ms |
332 KB |
answer = YES |
41 |
Correct |
1 ms |
332 KB |
answer = NO |
42 |
Correct |
2 ms |
336 KB |
answer = YES |
43 |
Correct |
2 ms |
332 KB |
answer = YES |
44 |
Correct |
2 ms |
332 KB |
answer = YES |
45 |
Correct |
2 ms |
332 KB |
answer = YES |
46 |
Correct |
1 ms |
332 KB |
answer = YES |
47 |
Correct |
2 ms |
332 KB |
answer = YES |
48 |
Correct |
2 ms |
332 KB |
answer = YES |
49 |
Correct |
16 ms |
1312 KB |
answer = YES |
50 |
Correct |
15 ms |
1708 KB |
answer = YES |
51 |
Correct |
15 ms |
1612 KB |
answer = YES |
52 |
Correct |
10 ms |
1592 KB |
answer = NO |
53 |
Correct |
2 ms |
336 KB |
answer = YES |
54 |
Correct |
4 ms |
584 KB |
answer = YES |
55 |
Correct |
8 ms |
844 KB |
answer = YES |
56 |
Correct |
14 ms |
1328 KB |
answer = YES |
57 |
Correct |
14 ms |
1228 KB |
answer = YES |
58 |
Correct |
13 ms |
1228 KB |
answer = YES |
59 |
Correct |
14 ms |
1264 KB |
answer = YES |
60 |
Correct |
15 ms |
1356 KB |
answer = YES |
61 |
Correct |
8 ms |
844 KB |
answer = YES |
62 |
Correct |
168 ms |
10436 KB |
answer = NO |
63 |
Correct |
196 ms |
10368 KB |
answer = YES |
64 |
Correct |
171 ms |
10372 KB |
answer = NO |
65 |
Correct |
175 ms |
10416 KB |
answer = YES |
66 |
Correct |
4 ms |
460 KB |
answer = YES |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
204 KB |
answer = YES |
2 |
Correct |
1 ms |
204 KB |
answer = YES |
3 |
Correct |
1 ms |
204 KB |
answer = YES |
4 |
Correct |
1 ms |
296 KB |
answer = NO |
5 |
Correct |
1 ms |
268 KB |
answer = YES |
6 |
Correct |
1 ms |
204 KB |
answer = YES |
7 |
Correct |
1 ms |
204 KB |
answer = YES |
8 |
Correct |
1 ms |
204 KB |
answer = YES |
9 |
Correct |
1 ms |
208 KB |
answer = NO |
10 |
Correct |
1 ms |
204 KB |
answer = YES |
11 |
Correct |
1 ms |
204 KB |
answer = YES |
12 |
Correct |
1 ms |
204 KB |
answer = NO |
13 |
Correct |
1 ms |
204 KB |
answer = YES |
14 |
Correct |
1 ms |
204 KB |
answer = YES |
15 |
Correct |
1 ms |
204 KB |
answer = YES |
16 |
Correct |
1 ms |
204 KB |
answer = YES |
17 |
Correct |
1 ms |
204 KB |
answer = YES |
18 |
Correct |
1 ms |
204 KB |
answer = YES |
19 |
Correct |
1 ms |
204 KB |
answer = YES |
20 |
Correct |
1 ms |
292 KB |
answer = YES |
21 |
Correct |
1 ms |
204 KB |
answer = YES |
22 |
Correct |
1 ms |
204 KB |
answer = NO |
23 |
Correct |
1 ms |
204 KB |
answer = NO |
24 |
Correct |
1 ms |
204 KB |
answer = YES |
25 |
Correct |
1 ms |
204 KB |
answer = YES |
26 |
Correct |
1 ms |
204 KB |
answer = YES |
27 |
Correct |
1 ms |
204 KB |
answer = YES |
28 |
Correct |
1 ms |
204 KB |
answer = YES |
29 |
Correct |
1 ms |
204 KB |
answer = YES |
30 |
Correct |
1 ms |
204 KB |
answer = NO |
31 |
Correct |
1 ms |
204 KB |
answer = YES |
32 |
Correct |
1 ms |
204 KB |
answer = YES |
33 |
Correct |
1 ms |
204 KB |
answer = YES |
34 |
Correct |
1 ms |
204 KB |
answer = YES |
35 |
Correct |
1 ms |
208 KB |
answer = YES |
36 |
Correct |
1 ms |
204 KB |
answer = YES |
37 |
Correct |
1 ms |
204 KB |
answer = YES |
38 |
Correct |
1 ms |
204 KB |
answer = YES |
39 |
Correct |
1 ms |
332 KB |
answer = YES |
40 |
Correct |
2 ms |
332 KB |
answer = YES |
41 |
Correct |
1 ms |
332 KB |
answer = NO |
42 |
Correct |
2 ms |
336 KB |
answer = YES |
43 |
Correct |
2 ms |
332 KB |
answer = YES |
44 |
Correct |
2 ms |
332 KB |
answer = YES |
45 |
Correct |
2 ms |
332 KB |
answer = YES |
46 |
Correct |
1 ms |
332 KB |
answer = YES |
47 |
Correct |
2 ms |
332 KB |
answer = YES |
48 |
Correct |
2 ms |
332 KB |
answer = YES |
49 |
Correct |
16 ms |
1312 KB |
answer = YES |
50 |
Correct |
15 ms |
1708 KB |
answer = YES |
51 |
Correct |
15 ms |
1612 KB |
answer = YES |
52 |
Correct |
10 ms |
1592 KB |
answer = NO |
53 |
Correct |
2 ms |
336 KB |
answer = YES |
54 |
Correct |
4 ms |
584 KB |
answer = YES |
55 |
Correct |
8 ms |
844 KB |
answer = YES |
56 |
Correct |
14 ms |
1328 KB |
answer = YES |
57 |
Correct |
14 ms |
1228 KB |
answer = YES |
58 |
Correct |
13 ms |
1228 KB |
answer = YES |
59 |
Correct |
14 ms |
1264 KB |
answer = YES |
60 |
Correct |
15 ms |
1356 KB |
answer = YES |
61 |
Correct |
8 ms |
844 KB |
answer = YES |
62 |
Correct |
168 ms |
10436 KB |
answer = NO |
63 |
Correct |
196 ms |
10368 KB |
answer = YES |
64 |
Correct |
171 ms |
10372 KB |
answer = NO |
65 |
Correct |
175 ms |
10416 KB |
answer = YES |
66 |
Correct |
4 ms |
460 KB |
answer = YES |
67 |
Correct |
150 ms |
16804 KB |
answer = YES |
68 |
Correct |
141 ms |
16836 KB |
answer = YES |
69 |
Correct |
161 ms |
16928 KB |
answer = YES |
70 |
Correct |
238 ms |
22532 KB |
answer = YES |
71 |
Correct |
189 ms |
16832 KB |
answer = YES |
72 |
Correct |
165 ms |
11176 KB |
answer = YES |
73 |
Correct |
165 ms |
11140 KB |
answer = YES |
74 |
Correct |
128 ms |
10088 KB |
answer = YES |
75 |
Correct |
88 ms |
10056 KB |
answer = NO |
76 |
Correct |
18 ms |
1612 KB |
answer = YES |
77 |
Correct |
37 ms |
2984 KB |
answer = YES |
78 |
Correct |
71 ms |
4996 KB |
answer = YES |
79 |
Correct |
159 ms |
9740 KB |
answer = YES |
80 |
Correct |
108 ms |
10044 KB |
answer = YES |
81 |
Correct |
121 ms |
13836 KB |
answer = NO |
82 |
Correct |
191 ms |
16248 KB |
answer = YES |
83 |
Correct |
196 ms |
16884 KB |
answer = YES |
84 |
Correct |
205 ms |
16836 KB |
answer = YES |
85 |
Correct |
156 ms |
16820 KB |
answer = YES |
86 |
Correct |
160 ms |
16812 KB |
answer = YES |
87 |
Correct |
158 ms |
12020 KB |
answer = NO |
88 |
Correct |
212 ms |
12776 KB |
answer = YES |
89 |
Correct |
177 ms |
9664 KB |
answer = YES |
90 |
Correct |
176 ms |
9760 KB |
answer = YES |
91 |
Correct |
170 ms |
9692 KB |
answer = YES |
92 |
Correct |
85 ms |
5724 KB |
answer = YES |
93 |
Correct |
87 ms |
5708 KB |
answer = YES |
94 |
Correct |
132 ms |
16848 KB |
answer = NO |
95 |
Correct |
136 ms |
9408 KB |
answer = NO |
96 |
Correct |
330 ms |
19932 KB |
answer = YES |
97 |
Correct |
108 ms |
16784 KB |
answer = NO |