#include <bits/stdc++.h>
using namespace std;
#define all(x) (x).begin(), (x).end()
const int MN = 2e5+5;
//start at 1:43
int E[MN],dep[MN],cnt[MN],par[MN],odd[MN],cur;
double C[MN],sum[MN],val[MN];
vector<int> G[MN],group;
vector<double> tmp;
bool vis[MN],fail;
void dfs(int s)
{
vis[s] = 1;
for(int d:G[s]){
int e = E[d]-s;
if(vis[e]){
if(dep[e]<dep[s]) continue;
if((dep[e]-dep[s])%2){
if( (cnt[e]-cnt[par[s]]) - (cnt[par[e]]-cnt[s]) != C[d]-1) fail = 1;
}
else{
if(odd[cur]) continue;
odd[cur] = s;
val[s] = (-sum[e]+sum[s]+sum[par[e]]-sum[par[s]]+C[d])/2.0;
}
}
else{
par[e] = s;
dep[e] = dep[s]+1;
cnt[e] = cnt[par[s]];
if(C[d]==2) cnt[e]++;
sum[e] = sum[par[s]]+C[d];
dfs(e);
}
}
}
void solve(int s)
{
group.push_back(s);
vis[s] = 1;
for(int d:G[s]){
int e = E[d]-s;
if(vis[e]){
if(odd[cur]&&val[s]+val[e]!=C[d]) fail = 1;
}
else{
val[e] = C[d]-val[s];
solve(e);
}
}
tmp.push_back(dep[s]%2 ? -val[s] : val[s]);
}
int N,M;
int main()
{
ios_base::sync_with_stdio(0),cin.tie(0);
cin >> N >> M;
for(int i=0; i<M; i++){
int a,b;
cin >> a >> b >> C[i];
E[i] = a+b;
G[a].push_back(i);
G[b].push_back(i);
}
for(int i=1; i<=N; i++){
if(vis[i]) continue;
cur = i;
dfs(i);
}
fill(vis,vis+N+1,0);
for(int i=1; i<=N; i++){
if(vis[i]) continue;
cur = i;
group.clear();
tmp.clear();
if(odd[i]) solve(odd[i]);
else{
solve(i);
sort(all(tmp));
double x = -tmp[group.size()/2];
for(int s:group){
if(dep[s]%2) val[s] -= x;
else val[s] += x;
}
}
}
fixed(cout);
cout.precision(1);
if(fail) cout << "NO";
else{
cout << "YES\n";
for(int i=1; i<=N; i++) cout << val[i] << ' ';
}
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
5120 KB |
answer = YES |
2 |
Correct |
3 ms |
5120 KB |
answer = YES |
3 |
Correct |
4 ms |
5120 KB |
answer = YES |
4 |
Correct |
3 ms |
5120 KB |
answer = NO |
5 |
Correct |
3 ms |
5120 KB |
answer = YES |
6 |
Correct |
3 ms |
5120 KB |
answer = YES |
7 |
Correct |
3 ms |
5120 KB |
answer = YES |
8 |
Correct |
3 ms |
5120 KB |
answer = YES |
9 |
Correct |
3 ms |
5120 KB |
answer = NO |
10 |
Correct |
3 ms |
5120 KB |
answer = YES |
11 |
Correct |
3 ms |
5120 KB |
answer = YES |
12 |
Correct |
3 ms |
5120 KB |
answer = NO |
13 |
Correct |
4 ms |
5120 KB |
answer = YES |
14 |
Correct |
3 ms |
5120 KB |
answer = YES |
15 |
Correct |
3 ms |
5120 KB |
answer = YES |
16 |
Correct |
3 ms |
5120 KB |
answer = YES |
17 |
Correct |
3 ms |
4992 KB |
answer = YES |
18 |
Correct |
3 ms |
5120 KB |
answer = YES |
19 |
Correct |
3 ms |
5120 KB |
answer = YES |
20 |
Correct |
3 ms |
5120 KB |
answer = YES |
21 |
Correct |
3 ms |
5024 KB |
answer = YES |
22 |
Correct |
3 ms |
5120 KB |
answer = NO |
23 |
Correct |
3 ms |
5120 KB |
answer = NO |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
5120 KB |
answer = YES |
2 |
Correct |
3 ms |
5120 KB |
answer = YES |
3 |
Correct |
4 ms |
5120 KB |
answer = YES |
4 |
Correct |
3 ms |
5120 KB |
answer = NO |
5 |
Correct |
3 ms |
5120 KB |
answer = YES |
6 |
Correct |
3 ms |
5120 KB |
answer = YES |
7 |
Correct |
3 ms |
5120 KB |
answer = YES |
8 |
Correct |
3 ms |
5120 KB |
answer = YES |
9 |
Correct |
3 ms |
5120 KB |
answer = NO |
10 |
Correct |
3 ms |
5120 KB |
answer = YES |
11 |
Correct |
3 ms |
5120 KB |
answer = YES |
12 |
Correct |
3 ms |
5120 KB |
answer = NO |
13 |
Correct |
4 ms |
5120 KB |
answer = YES |
14 |
Correct |
3 ms |
5120 KB |
answer = YES |
15 |
Correct |
3 ms |
5120 KB |
answer = YES |
16 |
Correct |
3 ms |
5120 KB |
answer = YES |
17 |
Correct |
3 ms |
4992 KB |
answer = YES |
18 |
Correct |
3 ms |
5120 KB |
answer = YES |
19 |
Correct |
3 ms |
5120 KB |
answer = YES |
20 |
Correct |
3 ms |
5120 KB |
answer = YES |
21 |
Correct |
3 ms |
5024 KB |
answer = YES |
22 |
Correct |
3 ms |
5120 KB |
answer = NO |
23 |
Correct |
3 ms |
5120 KB |
answer = NO |
24 |
Correct |
3 ms |
5120 KB |
answer = YES |
25 |
Correct |
3 ms |
5120 KB |
answer = YES |
26 |
Correct |
3 ms |
5120 KB |
answer = YES |
27 |
Correct |
3 ms |
5120 KB |
answer = YES |
28 |
Correct |
3 ms |
5120 KB |
answer = YES |
29 |
Correct |
3 ms |
5120 KB |
answer = YES |
30 |
Correct |
3 ms |
5120 KB |
answer = NO |
31 |
Correct |
3 ms |
5120 KB |
answer = YES |
32 |
Correct |
3 ms |
5120 KB |
answer = YES |
33 |
Correct |
3 ms |
5120 KB |
answer = YES |
34 |
Correct |
3 ms |
5120 KB |
answer = YES |
35 |
Correct |
3 ms |
5120 KB |
answer = YES |
36 |
Correct |
3 ms |
5120 KB |
answer = YES |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
5120 KB |
answer = YES |
2 |
Correct |
3 ms |
5120 KB |
answer = YES |
3 |
Correct |
4 ms |
5120 KB |
answer = YES |
4 |
Correct |
3 ms |
5120 KB |
answer = NO |
5 |
Correct |
3 ms |
5120 KB |
answer = YES |
6 |
Correct |
3 ms |
5120 KB |
answer = YES |
7 |
Correct |
3 ms |
5120 KB |
answer = YES |
8 |
Correct |
3 ms |
5120 KB |
answer = YES |
9 |
Correct |
3 ms |
5120 KB |
answer = NO |
10 |
Correct |
3 ms |
5120 KB |
answer = YES |
11 |
Correct |
3 ms |
5120 KB |
answer = YES |
12 |
Correct |
3 ms |
5120 KB |
answer = NO |
13 |
Correct |
4 ms |
5120 KB |
answer = YES |
14 |
Correct |
3 ms |
5120 KB |
answer = YES |
15 |
Correct |
3 ms |
5120 KB |
answer = YES |
16 |
Correct |
3 ms |
5120 KB |
answer = YES |
17 |
Correct |
3 ms |
4992 KB |
answer = YES |
18 |
Correct |
3 ms |
5120 KB |
answer = YES |
19 |
Correct |
3 ms |
5120 KB |
answer = YES |
20 |
Correct |
3 ms |
5120 KB |
answer = YES |
21 |
Correct |
3 ms |
5024 KB |
answer = YES |
22 |
Correct |
3 ms |
5120 KB |
answer = NO |
23 |
Correct |
3 ms |
5120 KB |
answer = NO |
24 |
Correct |
3 ms |
5120 KB |
answer = YES |
25 |
Correct |
3 ms |
5120 KB |
answer = YES |
26 |
Correct |
3 ms |
5120 KB |
answer = YES |
27 |
Correct |
3 ms |
5120 KB |
answer = YES |
28 |
Correct |
3 ms |
5120 KB |
answer = YES |
29 |
Correct |
3 ms |
5120 KB |
answer = YES |
30 |
Correct |
3 ms |
5120 KB |
answer = NO |
31 |
Correct |
3 ms |
5120 KB |
answer = YES |
32 |
Correct |
3 ms |
5120 KB |
answer = YES |
33 |
Correct |
3 ms |
5120 KB |
answer = YES |
34 |
Correct |
3 ms |
5120 KB |
answer = YES |
35 |
Correct |
3 ms |
5120 KB |
answer = YES |
36 |
Correct |
3 ms |
5120 KB |
answer = YES |
37 |
Correct |
3 ms |
5120 KB |
answer = YES |
38 |
Correct |
3 ms |
5120 KB |
answer = YES |
39 |
Correct |
4 ms |
5120 KB |
answer = YES |
40 |
Correct |
4 ms |
5248 KB |
answer = YES |
41 |
Correct |
4 ms |
5248 KB |
answer = NO |
42 |
Correct |
4 ms |
5248 KB |
answer = YES |
43 |
Correct |
4 ms |
5248 KB |
answer = YES |
44 |
Correct |
4 ms |
5248 KB |
answer = YES |
45 |
Correct |
4 ms |
5248 KB |
answer = YES |
46 |
Correct |
4 ms |
5120 KB |
answer = YES |
47 |
Correct |
4 ms |
5248 KB |
answer = YES |
48 |
Correct |
4 ms |
5248 KB |
answer = YES |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
5120 KB |
answer = YES |
2 |
Correct |
3 ms |
5120 KB |
answer = YES |
3 |
Correct |
4 ms |
5120 KB |
answer = YES |
4 |
Correct |
3 ms |
5120 KB |
answer = NO |
5 |
Correct |
3 ms |
5120 KB |
answer = YES |
6 |
Correct |
3 ms |
5120 KB |
answer = YES |
7 |
Correct |
3 ms |
5120 KB |
answer = YES |
8 |
Correct |
3 ms |
5120 KB |
answer = YES |
9 |
Correct |
3 ms |
5120 KB |
answer = NO |
10 |
Correct |
3 ms |
5120 KB |
answer = YES |
11 |
Correct |
3 ms |
5120 KB |
answer = YES |
12 |
Correct |
3 ms |
5120 KB |
answer = NO |
13 |
Correct |
4 ms |
5120 KB |
answer = YES |
14 |
Correct |
3 ms |
5120 KB |
answer = YES |
15 |
Correct |
3 ms |
5120 KB |
answer = YES |
16 |
Correct |
3 ms |
5120 KB |
answer = YES |
17 |
Correct |
3 ms |
4992 KB |
answer = YES |
18 |
Correct |
3 ms |
5120 KB |
answer = YES |
19 |
Correct |
3 ms |
5120 KB |
answer = YES |
20 |
Correct |
3 ms |
5120 KB |
answer = YES |
21 |
Correct |
3 ms |
5024 KB |
answer = YES |
22 |
Correct |
3 ms |
5120 KB |
answer = NO |
23 |
Correct |
3 ms |
5120 KB |
answer = NO |
24 |
Correct |
3 ms |
5120 KB |
answer = YES |
25 |
Correct |
3 ms |
5120 KB |
answer = YES |
26 |
Correct |
3 ms |
5120 KB |
answer = YES |
27 |
Correct |
3 ms |
5120 KB |
answer = YES |
28 |
Correct |
3 ms |
5120 KB |
answer = YES |
29 |
Correct |
3 ms |
5120 KB |
answer = YES |
30 |
Correct |
3 ms |
5120 KB |
answer = NO |
31 |
Correct |
3 ms |
5120 KB |
answer = YES |
32 |
Correct |
3 ms |
5120 KB |
answer = YES |
33 |
Correct |
3 ms |
5120 KB |
answer = YES |
34 |
Correct |
3 ms |
5120 KB |
answer = YES |
35 |
Correct |
3 ms |
5120 KB |
answer = YES |
36 |
Correct |
3 ms |
5120 KB |
answer = YES |
37 |
Correct |
3 ms |
5120 KB |
answer = YES |
38 |
Correct |
3 ms |
5120 KB |
answer = YES |
39 |
Correct |
4 ms |
5120 KB |
answer = YES |
40 |
Correct |
4 ms |
5248 KB |
answer = YES |
41 |
Correct |
4 ms |
5248 KB |
answer = NO |
42 |
Correct |
4 ms |
5248 KB |
answer = YES |
43 |
Correct |
4 ms |
5248 KB |
answer = YES |
44 |
Correct |
4 ms |
5248 KB |
answer = YES |
45 |
Correct |
4 ms |
5248 KB |
answer = YES |
46 |
Correct |
4 ms |
5120 KB |
answer = YES |
47 |
Correct |
4 ms |
5248 KB |
answer = YES |
48 |
Correct |
4 ms |
5248 KB |
answer = YES |
49 |
Correct |
14 ms |
6272 KB |
answer = YES |
50 |
Correct |
14 ms |
6528 KB |
answer = YES |
51 |
Correct |
14 ms |
6656 KB |
answer = YES |
52 |
Correct |
10 ms |
6528 KB |
answer = NO |
53 |
Correct |
5 ms |
5248 KB |
answer = YES |
54 |
Correct |
6 ms |
5376 KB |
answer = YES |
55 |
Correct |
8 ms |
5632 KB |
answer = YES |
56 |
Correct |
13 ms |
6272 KB |
answer = YES |
57 |
Correct |
13 ms |
6016 KB |
answer = YES |
58 |
Correct |
12 ms |
6016 KB |
answer = YES |
59 |
Correct |
12 ms |
6016 KB |
answer = YES |
60 |
Correct |
13 ms |
6144 KB |
answer = YES |
61 |
Correct |
8 ms |
5632 KB |
answer = YES |
62 |
Correct |
103 ms |
13048 KB |
answer = NO |
63 |
Correct |
105 ms |
13048 KB |
answer = YES |
64 |
Correct |
104 ms |
12920 KB |
answer = NO |
65 |
Correct |
104 ms |
13176 KB |
answer = YES |
66 |
Correct |
5 ms |
5376 KB |
answer = YES |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
5120 KB |
answer = YES |
2 |
Correct |
3 ms |
5120 KB |
answer = YES |
3 |
Correct |
4 ms |
5120 KB |
answer = YES |
4 |
Correct |
3 ms |
5120 KB |
answer = NO |
5 |
Correct |
3 ms |
5120 KB |
answer = YES |
6 |
Correct |
3 ms |
5120 KB |
answer = YES |
7 |
Correct |
3 ms |
5120 KB |
answer = YES |
8 |
Correct |
3 ms |
5120 KB |
answer = YES |
9 |
Correct |
3 ms |
5120 KB |
answer = NO |
10 |
Correct |
3 ms |
5120 KB |
answer = YES |
11 |
Correct |
3 ms |
5120 KB |
answer = YES |
12 |
Correct |
3 ms |
5120 KB |
answer = NO |
13 |
Correct |
4 ms |
5120 KB |
answer = YES |
14 |
Correct |
3 ms |
5120 KB |
answer = YES |
15 |
Correct |
3 ms |
5120 KB |
answer = YES |
16 |
Correct |
3 ms |
5120 KB |
answer = YES |
17 |
Correct |
3 ms |
4992 KB |
answer = YES |
18 |
Correct |
3 ms |
5120 KB |
answer = YES |
19 |
Correct |
3 ms |
5120 KB |
answer = YES |
20 |
Correct |
3 ms |
5120 KB |
answer = YES |
21 |
Correct |
3 ms |
5024 KB |
answer = YES |
22 |
Correct |
3 ms |
5120 KB |
answer = NO |
23 |
Correct |
3 ms |
5120 KB |
answer = NO |
24 |
Correct |
3 ms |
5120 KB |
answer = YES |
25 |
Correct |
3 ms |
5120 KB |
answer = YES |
26 |
Correct |
3 ms |
5120 KB |
answer = YES |
27 |
Correct |
3 ms |
5120 KB |
answer = YES |
28 |
Correct |
3 ms |
5120 KB |
answer = YES |
29 |
Correct |
3 ms |
5120 KB |
answer = YES |
30 |
Correct |
3 ms |
5120 KB |
answer = NO |
31 |
Correct |
3 ms |
5120 KB |
answer = YES |
32 |
Correct |
3 ms |
5120 KB |
answer = YES |
33 |
Correct |
3 ms |
5120 KB |
answer = YES |
34 |
Correct |
3 ms |
5120 KB |
answer = YES |
35 |
Correct |
3 ms |
5120 KB |
answer = YES |
36 |
Correct |
3 ms |
5120 KB |
answer = YES |
37 |
Correct |
3 ms |
5120 KB |
answer = YES |
38 |
Correct |
3 ms |
5120 KB |
answer = YES |
39 |
Correct |
4 ms |
5120 KB |
answer = YES |
40 |
Correct |
4 ms |
5248 KB |
answer = YES |
41 |
Correct |
4 ms |
5248 KB |
answer = NO |
42 |
Correct |
4 ms |
5248 KB |
answer = YES |
43 |
Correct |
4 ms |
5248 KB |
answer = YES |
44 |
Correct |
4 ms |
5248 KB |
answer = YES |
45 |
Correct |
4 ms |
5248 KB |
answer = YES |
46 |
Correct |
4 ms |
5120 KB |
answer = YES |
47 |
Correct |
4 ms |
5248 KB |
answer = YES |
48 |
Correct |
4 ms |
5248 KB |
answer = YES |
49 |
Correct |
14 ms |
6272 KB |
answer = YES |
50 |
Correct |
14 ms |
6528 KB |
answer = YES |
51 |
Correct |
14 ms |
6656 KB |
answer = YES |
52 |
Correct |
10 ms |
6528 KB |
answer = NO |
53 |
Correct |
5 ms |
5248 KB |
answer = YES |
54 |
Correct |
6 ms |
5376 KB |
answer = YES |
55 |
Correct |
8 ms |
5632 KB |
answer = YES |
56 |
Correct |
13 ms |
6272 KB |
answer = YES |
57 |
Correct |
13 ms |
6016 KB |
answer = YES |
58 |
Correct |
12 ms |
6016 KB |
answer = YES |
59 |
Correct |
12 ms |
6016 KB |
answer = YES |
60 |
Correct |
13 ms |
6144 KB |
answer = YES |
61 |
Correct |
8 ms |
5632 KB |
answer = YES |
62 |
Correct |
103 ms |
13048 KB |
answer = NO |
63 |
Correct |
105 ms |
13048 KB |
answer = YES |
64 |
Correct |
104 ms |
12920 KB |
answer = NO |
65 |
Correct |
104 ms |
13176 KB |
answer = YES |
66 |
Correct |
5 ms |
5376 KB |
answer = YES |
67 |
Correct |
124 ms |
21928 KB |
answer = YES |
68 |
Correct |
106 ms |
21484 KB |
answer = YES |
69 |
Correct |
108 ms |
21484 KB |
answer = YES |
70 |
Correct |
169 ms |
26348 KB |
answer = YES |
71 |
Correct |
108 ms |
21616 KB |
answer = YES |
72 |
Correct |
135 ms |
15548 KB |
answer = YES |
73 |
Correct |
127 ms |
15372 KB |
answer = YES |
74 |
Correct |
81 ms |
14352 KB |
answer = YES |
75 |
Correct |
55 ms |
14708 KB |
answer = NO |
76 |
Correct |
17 ms |
6400 KB |
answer = YES |
77 |
Correct |
31 ms |
7648 KB |
answer = YES |
78 |
Correct |
52 ms |
9540 KB |
answer = YES |
79 |
Correct |
112 ms |
13888 KB |
answer = YES |
80 |
Correct |
87 ms |
15088 KB |
answer = YES |
81 |
Correct |
84 ms |
18412 KB |
answer = NO |
82 |
Correct |
129 ms |
19684 KB |
answer = YES |
83 |
Correct |
182 ms |
21828 KB |
answer = YES |
84 |
Correct |
176 ms |
21740 KB |
answer = YES |
85 |
Correct |
122 ms |
21732 KB |
answer = YES |
86 |
Correct |
120 ms |
21740 KB |
answer = YES |
87 |
Correct |
122 ms |
16436 KB |
answer = NO |
88 |
Correct |
169 ms |
17520 KB |
answer = YES |
89 |
Correct |
121 ms |
14328 KB |
answer = YES |
90 |
Correct |
124 ms |
14328 KB |
answer = YES |
91 |
Correct |
146 ms |
14328 KB |
answer = YES |
92 |
Correct |
63 ms |
10444 KB |
answer = YES |
93 |
Correct |
58 ms |
10352 KB |
answer = YES |
94 |
Correct |
126 ms |
21360 KB |
answer = NO |
95 |
Correct |
102 ms |
13948 KB |
answer = NO |
96 |
Correct |
244 ms |
22504 KB |
answer = YES |
97 |
Correct |
77 ms |
21356 KB |
answer = NO |