#include<bits/stdc++.h>
using namespace std;
const int N = 100001;
bool visited[N];
int sign[N];
int arr[N];
int val[N];
int val2[N];
int answer[N];
vector<pair<int, int> > adj[N];
int main() {
int n, m;
cin >> n >> m;
for(int i = 0; i < m; i++){
int a, b, c;
cin >> a >> b >> c;
c *= 2;
adj[a].push_back(make_pair(b, c));
adj[b].push_back(make_pair(a, c));
}
for(int i = 1; i <= n; i++) {
if(!visited[i]) {
visited[i] = true;
int idx = 0;
sign[i] = 1;
val[i] = 0;
arr[idx] = i;
idx++;
bool bipartite = true;
double x2;
queue<int> q;
q.push(i);
while(!q.empty()) {
int u = q.front();
q.pop();
for(pair<int, int> x : adj[u]){
int v = x.first;
int weight = x.second;
if(!visited[v]){
visited[v] = true;
sign[v] = -sign[u];
val[v] = weight - val[u];
arr[idx] = v;
idx++;
q.push(v);
}
else if(sign[v] == sign[u]){
bipartite = false;
x2 = (sign[v]) * (weight - val[v] - val[u])/2;
}
}
}
if(bipartite){
for(int j = 0; j < idx; j++){
int u = arr[j];
val2[j] = (-sign[u]) * val[u];
}
sort(val2, val2 + idx);
x2 = val2[idx/2];
}
for(int j = 0; j < idx; j++){
int u = arr[j];
answer[u] = val[u] + sign[u] * x2;
}
for(int j = 0; j < idx; j++){
int u = arr[j];
for(pair<int, int> x : adj[u]){
int v = x.first;
if(answer[v] + answer[u] != x.second){
cout << "NO\n";
return 0;
}
}
}
}
}
cout << "YES\n";
for(int u = 1; u <= n; u++) {
cout << 0.5 * answer[u] << " ";
}
cout << "\n";
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2644 KB |
answer = YES |
2 |
Correct |
2 ms |
2644 KB |
answer = YES |
3 |
Correct |
2 ms |
2660 KB |
answer = YES |
4 |
Correct |
2 ms |
2644 KB |
answer = NO |
5 |
Correct |
2 ms |
2644 KB |
answer = YES |
6 |
Correct |
2 ms |
2644 KB |
answer = YES |
7 |
Correct |
2 ms |
2644 KB |
answer = YES |
8 |
Correct |
2 ms |
2644 KB |
answer = YES |
9 |
Correct |
2 ms |
2644 KB |
answer = NO |
10 |
Correct |
2 ms |
2772 KB |
answer = YES |
11 |
Correct |
2 ms |
2660 KB |
answer = YES |
12 |
Correct |
2 ms |
2644 KB |
answer = NO |
13 |
Correct |
2 ms |
2644 KB |
answer = YES |
14 |
Correct |
2 ms |
2660 KB |
answer = YES |
15 |
Correct |
2 ms |
2644 KB |
answer = YES |
16 |
Correct |
2 ms |
2644 KB |
answer = YES |
17 |
Correct |
2 ms |
2644 KB |
answer = YES |
18 |
Correct |
2 ms |
2660 KB |
answer = YES |
19 |
Correct |
2 ms |
2644 KB |
answer = YES |
20 |
Correct |
2 ms |
2660 KB |
answer = YES |
21 |
Correct |
2 ms |
2644 KB |
answer = YES |
22 |
Correct |
2 ms |
2644 KB |
answer = NO |
23 |
Correct |
2 ms |
2652 KB |
answer = NO |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2644 KB |
answer = YES |
2 |
Correct |
2 ms |
2644 KB |
answer = YES |
3 |
Correct |
2 ms |
2660 KB |
answer = YES |
4 |
Correct |
2 ms |
2644 KB |
answer = NO |
5 |
Correct |
2 ms |
2644 KB |
answer = YES |
6 |
Correct |
2 ms |
2644 KB |
answer = YES |
7 |
Correct |
2 ms |
2644 KB |
answer = YES |
8 |
Correct |
2 ms |
2644 KB |
answer = YES |
9 |
Correct |
2 ms |
2644 KB |
answer = NO |
10 |
Correct |
2 ms |
2772 KB |
answer = YES |
11 |
Correct |
2 ms |
2660 KB |
answer = YES |
12 |
Correct |
2 ms |
2644 KB |
answer = NO |
13 |
Correct |
2 ms |
2644 KB |
answer = YES |
14 |
Correct |
2 ms |
2660 KB |
answer = YES |
15 |
Correct |
2 ms |
2644 KB |
answer = YES |
16 |
Correct |
2 ms |
2644 KB |
answer = YES |
17 |
Correct |
2 ms |
2644 KB |
answer = YES |
18 |
Correct |
2 ms |
2660 KB |
answer = YES |
19 |
Correct |
2 ms |
2644 KB |
answer = YES |
20 |
Correct |
2 ms |
2660 KB |
answer = YES |
21 |
Correct |
2 ms |
2644 KB |
answer = YES |
22 |
Correct |
2 ms |
2644 KB |
answer = NO |
23 |
Correct |
2 ms |
2652 KB |
answer = NO |
24 |
Correct |
2 ms |
2644 KB |
answer = YES |
25 |
Correct |
2 ms |
2644 KB |
answer = YES |
26 |
Correct |
2 ms |
2644 KB |
answer = YES |
27 |
Correct |
2 ms |
2644 KB |
answer = YES |
28 |
Correct |
2 ms |
2656 KB |
answer = YES |
29 |
Correct |
2 ms |
2644 KB |
answer = YES |
30 |
Correct |
2 ms |
2644 KB |
answer = NO |
31 |
Correct |
2 ms |
2660 KB |
answer = YES |
32 |
Correct |
2 ms |
2660 KB |
answer = YES |
33 |
Correct |
2 ms |
2660 KB |
answer = YES |
34 |
Correct |
2 ms |
2656 KB |
answer = YES |
35 |
Correct |
2 ms |
2644 KB |
answer = YES |
36 |
Correct |
2 ms |
2644 KB |
answer = YES |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2644 KB |
answer = YES |
2 |
Correct |
2 ms |
2644 KB |
answer = YES |
3 |
Correct |
2 ms |
2660 KB |
answer = YES |
4 |
Correct |
2 ms |
2644 KB |
answer = NO |
5 |
Correct |
2 ms |
2644 KB |
answer = YES |
6 |
Correct |
2 ms |
2644 KB |
answer = YES |
7 |
Correct |
2 ms |
2644 KB |
answer = YES |
8 |
Correct |
2 ms |
2644 KB |
answer = YES |
9 |
Correct |
2 ms |
2644 KB |
answer = NO |
10 |
Correct |
2 ms |
2772 KB |
answer = YES |
11 |
Correct |
2 ms |
2660 KB |
answer = YES |
12 |
Correct |
2 ms |
2644 KB |
answer = NO |
13 |
Correct |
2 ms |
2644 KB |
answer = YES |
14 |
Correct |
2 ms |
2660 KB |
answer = YES |
15 |
Correct |
2 ms |
2644 KB |
answer = YES |
16 |
Correct |
2 ms |
2644 KB |
answer = YES |
17 |
Correct |
2 ms |
2644 KB |
answer = YES |
18 |
Correct |
2 ms |
2660 KB |
answer = YES |
19 |
Correct |
2 ms |
2644 KB |
answer = YES |
20 |
Correct |
2 ms |
2660 KB |
answer = YES |
21 |
Correct |
2 ms |
2644 KB |
answer = YES |
22 |
Correct |
2 ms |
2644 KB |
answer = NO |
23 |
Correct |
2 ms |
2652 KB |
answer = NO |
24 |
Correct |
2 ms |
2644 KB |
answer = YES |
25 |
Correct |
2 ms |
2644 KB |
answer = YES |
26 |
Correct |
2 ms |
2644 KB |
answer = YES |
27 |
Correct |
2 ms |
2644 KB |
answer = YES |
28 |
Correct |
2 ms |
2656 KB |
answer = YES |
29 |
Correct |
2 ms |
2644 KB |
answer = YES |
30 |
Correct |
2 ms |
2644 KB |
answer = NO |
31 |
Correct |
2 ms |
2660 KB |
answer = YES |
32 |
Correct |
2 ms |
2660 KB |
answer = YES |
33 |
Correct |
2 ms |
2660 KB |
answer = YES |
34 |
Correct |
2 ms |
2656 KB |
answer = YES |
35 |
Correct |
2 ms |
2644 KB |
answer = YES |
36 |
Correct |
2 ms |
2644 KB |
answer = YES |
37 |
Correct |
2 ms |
2644 KB |
answer = YES |
38 |
Correct |
2 ms |
2644 KB |
answer = YES |
39 |
Correct |
2 ms |
2644 KB |
answer = YES |
40 |
Correct |
3 ms |
2668 KB |
answer = YES |
41 |
Correct |
2 ms |
2644 KB |
answer = NO |
42 |
Correct |
3 ms |
2644 KB |
answer = YES |
43 |
Correct |
3 ms |
2644 KB |
answer = YES |
44 |
Correct |
3 ms |
2644 KB |
answer = YES |
45 |
Correct |
3 ms |
2704 KB |
answer = YES |
46 |
Correct |
3 ms |
2664 KB |
answer = YES |
47 |
Correct |
4 ms |
2720 KB |
answer = YES |
48 |
Correct |
4 ms |
2644 KB |
answer = YES |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2644 KB |
answer = YES |
2 |
Correct |
2 ms |
2644 KB |
answer = YES |
3 |
Correct |
2 ms |
2660 KB |
answer = YES |
4 |
Correct |
2 ms |
2644 KB |
answer = NO |
5 |
Correct |
2 ms |
2644 KB |
answer = YES |
6 |
Correct |
2 ms |
2644 KB |
answer = YES |
7 |
Correct |
2 ms |
2644 KB |
answer = YES |
8 |
Correct |
2 ms |
2644 KB |
answer = YES |
9 |
Correct |
2 ms |
2644 KB |
answer = NO |
10 |
Correct |
2 ms |
2772 KB |
answer = YES |
11 |
Correct |
2 ms |
2660 KB |
answer = YES |
12 |
Correct |
2 ms |
2644 KB |
answer = NO |
13 |
Correct |
2 ms |
2644 KB |
answer = YES |
14 |
Correct |
2 ms |
2660 KB |
answer = YES |
15 |
Correct |
2 ms |
2644 KB |
answer = YES |
16 |
Correct |
2 ms |
2644 KB |
answer = YES |
17 |
Correct |
2 ms |
2644 KB |
answer = YES |
18 |
Correct |
2 ms |
2660 KB |
answer = YES |
19 |
Correct |
2 ms |
2644 KB |
answer = YES |
20 |
Correct |
2 ms |
2660 KB |
answer = YES |
21 |
Correct |
2 ms |
2644 KB |
answer = YES |
22 |
Correct |
2 ms |
2644 KB |
answer = NO |
23 |
Correct |
2 ms |
2652 KB |
answer = NO |
24 |
Correct |
2 ms |
2644 KB |
answer = YES |
25 |
Correct |
2 ms |
2644 KB |
answer = YES |
26 |
Correct |
2 ms |
2644 KB |
answer = YES |
27 |
Correct |
2 ms |
2644 KB |
answer = YES |
28 |
Correct |
2 ms |
2656 KB |
answer = YES |
29 |
Correct |
2 ms |
2644 KB |
answer = YES |
30 |
Correct |
2 ms |
2644 KB |
answer = NO |
31 |
Correct |
2 ms |
2660 KB |
answer = YES |
32 |
Correct |
2 ms |
2660 KB |
answer = YES |
33 |
Correct |
2 ms |
2660 KB |
answer = YES |
34 |
Correct |
2 ms |
2656 KB |
answer = YES |
35 |
Correct |
2 ms |
2644 KB |
answer = YES |
36 |
Correct |
2 ms |
2644 KB |
answer = YES |
37 |
Correct |
2 ms |
2644 KB |
answer = YES |
38 |
Correct |
2 ms |
2644 KB |
answer = YES |
39 |
Correct |
2 ms |
2644 KB |
answer = YES |
40 |
Correct |
3 ms |
2668 KB |
answer = YES |
41 |
Correct |
2 ms |
2644 KB |
answer = NO |
42 |
Correct |
3 ms |
2644 KB |
answer = YES |
43 |
Correct |
3 ms |
2644 KB |
answer = YES |
44 |
Correct |
3 ms |
2644 KB |
answer = YES |
45 |
Correct |
3 ms |
2704 KB |
answer = YES |
46 |
Correct |
3 ms |
2664 KB |
answer = YES |
47 |
Correct |
4 ms |
2720 KB |
answer = YES |
48 |
Correct |
4 ms |
2644 KB |
answer = YES |
49 |
Correct |
13 ms |
3284 KB |
answer = YES |
50 |
Correct |
13 ms |
3284 KB |
answer = YES |
51 |
Correct |
13 ms |
3324 KB |
answer = YES |
52 |
Correct |
10 ms |
3316 KB |
answer = NO |
53 |
Correct |
3 ms |
2668 KB |
answer = YES |
54 |
Correct |
4 ms |
2852 KB |
answer = YES |
55 |
Correct |
10 ms |
3028 KB |
answer = YES |
56 |
Correct |
14 ms |
3284 KB |
answer = YES |
57 |
Correct |
12 ms |
3284 KB |
answer = YES |
58 |
Correct |
12 ms |
3188 KB |
answer = YES |
59 |
Correct |
17 ms |
3284 KB |
answer = YES |
60 |
Correct |
14 ms |
3360 KB |
answer = YES |
61 |
Correct |
7 ms |
2900 KB |
answer = YES |
62 |
Correct |
136 ms |
9744 KB |
answer = NO |
63 |
Correct |
136 ms |
9644 KB |
answer = YES |
64 |
Correct |
143 ms |
9740 KB |
answer = NO |
65 |
Correct |
136 ms |
9640 KB |
answer = YES |
66 |
Correct |
6 ms |
2772 KB |
answer = YES |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2644 KB |
answer = YES |
2 |
Correct |
2 ms |
2644 KB |
answer = YES |
3 |
Correct |
2 ms |
2660 KB |
answer = YES |
4 |
Correct |
2 ms |
2644 KB |
answer = NO |
5 |
Correct |
2 ms |
2644 KB |
answer = YES |
6 |
Correct |
2 ms |
2644 KB |
answer = YES |
7 |
Correct |
2 ms |
2644 KB |
answer = YES |
8 |
Correct |
2 ms |
2644 KB |
answer = YES |
9 |
Correct |
2 ms |
2644 KB |
answer = NO |
10 |
Correct |
2 ms |
2772 KB |
answer = YES |
11 |
Correct |
2 ms |
2660 KB |
answer = YES |
12 |
Correct |
2 ms |
2644 KB |
answer = NO |
13 |
Correct |
2 ms |
2644 KB |
answer = YES |
14 |
Correct |
2 ms |
2660 KB |
answer = YES |
15 |
Correct |
2 ms |
2644 KB |
answer = YES |
16 |
Correct |
2 ms |
2644 KB |
answer = YES |
17 |
Correct |
2 ms |
2644 KB |
answer = YES |
18 |
Correct |
2 ms |
2660 KB |
answer = YES |
19 |
Correct |
2 ms |
2644 KB |
answer = YES |
20 |
Correct |
2 ms |
2660 KB |
answer = YES |
21 |
Correct |
2 ms |
2644 KB |
answer = YES |
22 |
Correct |
2 ms |
2644 KB |
answer = NO |
23 |
Correct |
2 ms |
2652 KB |
answer = NO |
24 |
Correct |
2 ms |
2644 KB |
answer = YES |
25 |
Correct |
2 ms |
2644 KB |
answer = YES |
26 |
Correct |
2 ms |
2644 KB |
answer = YES |
27 |
Correct |
2 ms |
2644 KB |
answer = YES |
28 |
Correct |
2 ms |
2656 KB |
answer = YES |
29 |
Correct |
2 ms |
2644 KB |
answer = YES |
30 |
Correct |
2 ms |
2644 KB |
answer = NO |
31 |
Correct |
2 ms |
2660 KB |
answer = YES |
32 |
Correct |
2 ms |
2660 KB |
answer = YES |
33 |
Correct |
2 ms |
2660 KB |
answer = YES |
34 |
Correct |
2 ms |
2656 KB |
answer = YES |
35 |
Correct |
2 ms |
2644 KB |
answer = YES |
36 |
Correct |
2 ms |
2644 KB |
answer = YES |
37 |
Correct |
2 ms |
2644 KB |
answer = YES |
38 |
Correct |
2 ms |
2644 KB |
answer = YES |
39 |
Correct |
2 ms |
2644 KB |
answer = YES |
40 |
Correct |
3 ms |
2668 KB |
answer = YES |
41 |
Correct |
2 ms |
2644 KB |
answer = NO |
42 |
Correct |
3 ms |
2644 KB |
answer = YES |
43 |
Correct |
3 ms |
2644 KB |
answer = YES |
44 |
Correct |
3 ms |
2644 KB |
answer = YES |
45 |
Correct |
3 ms |
2704 KB |
answer = YES |
46 |
Correct |
3 ms |
2664 KB |
answer = YES |
47 |
Correct |
4 ms |
2720 KB |
answer = YES |
48 |
Correct |
4 ms |
2644 KB |
answer = YES |
49 |
Correct |
13 ms |
3284 KB |
answer = YES |
50 |
Correct |
13 ms |
3284 KB |
answer = YES |
51 |
Correct |
13 ms |
3324 KB |
answer = YES |
52 |
Correct |
10 ms |
3316 KB |
answer = NO |
53 |
Correct |
3 ms |
2668 KB |
answer = YES |
54 |
Correct |
4 ms |
2852 KB |
answer = YES |
55 |
Correct |
10 ms |
3028 KB |
answer = YES |
56 |
Correct |
14 ms |
3284 KB |
answer = YES |
57 |
Correct |
12 ms |
3284 KB |
answer = YES |
58 |
Correct |
12 ms |
3188 KB |
answer = YES |
59 |
Correct |
17 ms |
3284 KB |
answer = YES |
60 |
Correct |
14 ms |
3360 KB |
answer = YES |
61 |
Correct |
7 ms |
2900 KB |
answer = YES |
62 |
Correct |
136 ms |
9744 KB |
answer = NO |
63 |
Correct |
136 ms |
9644 KB |
answer = YES |
64 |
Correct |
143 ms |
9740 KB |
answer = NO |
65 |
Correct |
136 ms |
9640 KB |
answer = YES |
66 |
Correct |
6 ms |
2772 KB |
answer = YES |
67 |
Correct |
121 ms |
9424 KB |
answer = YES |
68 |
Correct |
123 ms |
9332 KB |
answer = YES |
69 |
Correct |
131 ms |
8972 KB |
answer = YES |
70 |
Correct |
182 ms |
13388 KB |
answer = YES |
71 |
Correct |
115 ms |
9132 KB |
answer = YES |
72 |
Correct |
145 ms |
9964 KB |
answer = YES |
73 |
Correct |
149 ms |
9664 KB |
answer = YES |
74 |
Correct |
89 ms |
6812 KB |
answer = YES |
75 |
Correct |
53 ms |
6860 KB |
answer = NO |
76 |
Correct |
15 ms |
3548 KB |
answer = YES |
77 |
Correct |
32 ms |
4456 KB |
answer = YES |
78 |
Correct |
60 ms |
5788 KB |
answer = YES |
79 |
Correct |
122 ms |
8936 KB |
answer = YES |
80 |
Correct |
82 ms |
7068 KB |
answer = YES |
81 |
Correct |
94 ms |
8684 KB |
answer = NO |
82 |
Correct |
149 ms |
9324 KB |
answer = YES |
83 |
Correct |
147 ms |
9140 KB |
answer = YES |
84 |
Correct |
177 ms |
9472 KB |
answer = YES |
85 |
Correct |
119 ms |
9536 KB |
answer = YES |
86 |
Correct |
125 ms |
9108 KB |
answer = YES |
87 |
Correct |
107 ms |
8524 KB |
answer = NO |
88 |
Correct |
162 ms |
8984 KB |
answer = YES |
89 |
Correct |
143 ms |
8800 KB |
answer = YES |
90 |
Correct |
121 ms |
8704 KB |
answer = YES |
91 |
Correct |
138 ms |
8656 KB |
answer = YES |
92 |
Correct |
78 ms |
6256 KB |
answer = YES |
93 |
Correct |
65 ms |
6112 KB |
answer = YES |
94 |
Correct |
109 ms |
9096 KB |
answer = NO |
95 |
Correct |
82 ms |
8396 KB |
answer = NO |
96 |
Correct |
258 ms |
13912 KB |
answer = YES |
97 |
Correct |
82 ms |
9272 KB |
answer = NO |