#include <bits/stdc++.h>
using namespace std;
#define f first
#define s second
#define pb push_back
#define ar array
#define all(x) x.begin(), x.end()
#define siz(x) (int)x.size()
#define FOR(x, y, z) for(int x = (y); x < (z); x++)
#define ROF(x, z, y) for(int x = (y-1); x >= (z); x--)
#define F0R(x, z) FOR(x, 0, z)
#define R0F(x, z) ROF(x, 0, z)
#define trav(x, y) for(auto&x:y)
using ll = long long;
using vi = vector<int>;
using vl = vector<long long>;
using pii = pair<int, int>;
using vpii = vector<pair<int, int>>;
template<class T> inline bool ckmin(T&a, T b) {return b < a ? a = b, 1 : 0;}
template<class T> inline bool ckmax(T&a, T b) {return b > a ? a = b, 1 : 0;}
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const char nl = '\n';
const int mxN = 1e5 + 10;
const int MOD = 1e9 + 7;
const long long infLL = 1e18;
const double eps = 1e-6;
double ans[mxN];
int a[mxN], b[mxN];
vpii adj[mxN];
int n, m;
vector<double> vals;
vi cur, al;
void bad(){
cout<<"NO\n";
exit(0);
}
void dfs(int u, int A, int B){
if(a[u]==0){
a[u] = A, b[u] = B;
cur.pb(u); al.pb(A*B);
trav(v, adj[u]) dfs(v.f, -A, v.s-B);
}
else if(a[u]!=A||b[u]!=B){
if(a[u]==A) bad();
vals.pb(1.0*(B-b[u])/(a[u]-A));
}
}
int32_t main(){
ios_base::sync_with_stdio(0); cin.tie(0);
cin >> n >> m;
F0R(i, m){
int e1, e2, e3; cin >> e1 >> e2 >> e3; e1--; e2--;
adj[e1].pb({e2, e3}); adj[e2].pb({e1, e3});
}
F0R(i, n){
if(a[i]==0){
vals.clear(); al.clear(); cur.clear();
dfs(i, 1, 0);
if(siz(vals)){
sort(all(vals));
if(abs(vals[0]-vals.back())>eps) bad();
trav(q, cur) ans[q] = vals[0]*a[q]+b[q];
}
else{
sort(all(al));
trav(q, cur) ans[q] = -al[siz(al)/2]*a[q]+b[q];
}
}
}
cout << fixed << setprecision(12);
cout << "YES\n";
F0R(i, n) cout << ans[i] << ' ';
cout << nl;
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2668 KB |
answer = YES |
2 |
Correct |
2 ms |
2668 KB |
answer = YES |
3 |
Correct |
2 ms |
2668 KB |
answer = YES |
4 |
Correct |
2 ms |
2668 KB |
answer = NO |
5 |
Correct |
3 ms |
2668 KB |
answer = YES |
6 |
Correct |
2 ms |
2668 KB |
answer = YES |
7 |
Correct |
2 ms |
2668 KB |
answer = YES |
8 |
Correct |
2 ms |
2668 KB |
answer = YES |
9 |
Correct |
2 ms |
2668 KB |
answer = NO |
10 |
Correct |
2 ms |
2668 KB |
answer = YES |
11 |
Correct |
2 ms |
2668 KB |
answer = YES |
12 |
Correct |
2 ms |
2668 KB |
answer = NO |
13 |
Correct |
2 ms |
2668 KB |
answer = YES |
14 |
Correct |
3 ms |
2668 KB |
answer = YES |
15 |
Correct |
2 ms |
2668 KB |
answer = YES |
16 |
Correct |
2 ms |
2668 KB |
answer = YES |
17 |
Correct |
2 ms |
2688 KB |
answer = YES |
18 |
Correct |
2 ms |
2668 KB |
answer = YES |
19 |
Correct |
2 ms |
2668 KB |
answer = YES |
20 |
Correct |
2 ms |
2668 KB |
answer = YES |
21 |
Correct |
2 ms |
2668 KB |
answer = YES |
22 |
Correct |
2 ms |
2668 KB |
answer = NO |
23 |
Correct |
2 ms |
2668 KB |
answer = NO |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2668 KB |
answer = YES |
2 |
Correct |
2 ms |
2668 KB |
answer = YES |
3 |
Correct |
2 ms |
2668 KB |
answer = YES |
4 |
Correct |
2 ms |
2668 KB |
answer = NO |
5 |
Correct |
3 ms |
2668 KB |
answer = YES |
6 |
Correct |
2 ms |
2668 KB |
answer = YES |
7 |
Correct |
2 ms |
2668 KB |
answer = YES |
8 |
Correct |
2 ms |
2668 KB |
answer = YES |
9 |
Correct |
2 ms |
2668 KB |
answer = NO |
10 |
Correct |
2 ms |
2668 KB |
answer = YES |
11 |
Correct |
2 ms |
2668 KB |
answer = YES |
12 |
Correct |
2 ms |
2668 KB |
answer = NO |
13 |
Correct |
2 ms |
2668 KB |
answer = YES |
14 |
Correct |
3 ms |
2668 KB |
answer = YES |
15 |
Correct |
2 ms |
2668 KB |
answer = YES |
16 |
Correct |
2 ms |
2668 KB |
answer = YES |
17 |
Correct |
2 ms |
2688 KB |
answer = YES |
18 |
Correct |
2 ms |
2668 KB |
answer = YES |
19 |
Correct |
2 ms |
2668 KB |
answer = YES |
20 |
Correct |
2 ms |
2668 KB |
answer = YES |
21 |
Correct |
2 ms |
2668 KB |
answer = YES |
22 |
Correct |
2 ms |
2668 KB |
answer = NO |
23 |
Correct |
2 ms |
2668 KB |
answer = NO |
24 |
Correct |
3 ms |
2668 KB |
answer = YES |
25 |
Correct |
2 ms |
2668 KB |
answer = YES |
26 |
Correct |
3 ms |
2668 KB |
answer = YES |
27 |
Correct |
2 ms |
2668 KB |
answer = YES |
28 |
Correct |
2 ms |
2668 KB |
answer = YES |
29 |
Correct |
2 ms |
2668 KB |
answer = YES |
30 |
Correct |
2 ms |
2668 KB |
answer = NO |
31 |
Correct |
2 ms |
2668 KB |
answer = YES |
32 |
Correct |
2 ms |
2668 KB |
answer = YES |
33 |
Correct |
2 ms |
2668 KB |
answer = YES |
34 |
Correct |
2 ms |
2668 KB |
answer = YES |
35 |
Correct |
2 ms |
2668 KB |
answer = YES |
36 |
Correct |
2 ms |
2668 KB |
answer = YES |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2668 KB |
answer = YES |
2 |
Correct |
2 ms |
2668 KB |
answer = YES |
3 |
Correct |
2 ms |
2668 KB |
answer = YES |
4 |
Correct |
2 ms |
2668 KB |
answer = NO |
5 |
Correct |
3 ms |
2668 KB |
answer = YES |
6 |
Correct |
2 ms |
2668 KB |
answer = YES |
7 |
Correct |
2 ms |
2668 KB |
answer = YES |
8 |
Correct |
2 ms |
2668 KB |
answer = YES |
9 |
Correct |
2 ms |
2668 KB |
answer = NO |
10 |
Correct |
2 ms |
2668 KB |
answer = YES |
11 |
Correct |
2 ms |
2668 KB |
answer = YES |
12 |
Correct |
2 ms |
2668 KB |
answer = NO |
13 |
Correct |
2 ms |
2668 KB |
answer = YES |
14 |
Correct |
3 ms |
2668 KB |
answer = YES |
15 |
Correct |
2 ms |
2668 KB |
answer = YES |
16 |
Correct |
2 ms |
2668 KB |
answer = YES |
17 |
Correct |
2 ms |
2688 KB |
answer = YES |
18 |
Correct |
2 ms |
2668 KB |
answer = YES |
19 |
Correct |
2 ms |
2668 KB |
answer = YES |
20 |
Correct |
2 ms |
2668 KB |
answer = YES |
21 |
Correct |
2 ms |
2668 KB |
answer = YES |
22 |
Correct |
2 ms |
2668 KB |
answer = NO |
23 |
Correct |
2 ms |
2668 KB |
answer = NO |
24 |
Correct |
3 ms |
2668 KB |
answer = YES |
25 |
Correct |
2 ms |
2668 KB |
answer = YES |
26 |
Correct |
3 ms |
2668 KB |
answer = YES |
27 |
Correct |
2 ms |
2668 KB |
answer = YES |
28 |
Correct |
2 ms |
2668 KB |
answer = YES |
29 |
Correct |
2 ms |
2668 KB |
answer = YES |
30 |
Correct |
2 ms |
2668 KB |
answer = NO |
31 |
Correct |
2 ms |
2668 KB |
answer = YES |
32 |
Correct |
2 ms |
2668 KB |
answer = YES |
33 |
Correct |
2 ms |
2668 KB |
answer = YES |
34 |
Correct |
2 ms |
2668 KB |
answer = YES |
35 |
Correct |
2 ms |
2668 KB |
answer = YES |
36 |
Correct |
2 ms |
2668 KB |
answer = YES |
37 |
Correct |
2 ms |
2668 KB |
answer = YES |
38 |
Correct |
2 ms |
2668 KB |
answer = YES |
39 |
Correct |
3 ms |
2796 KB |
answer = YES |
40 |
Correct |
4 ms |
2816 KB |
answer = YES |
41 |
Correct |
2 ms |
2796 KB |
answer = NO |
42 |
Correct |
3 ms |
2796 KB |
answer = YES |
43 |
Correct |
3 ms |
2796 KB |
answer = YES |
44 |
Correct |
3 ms |
2796 KB |
answer = YES |
45 |
Correct |
3 ms |
2796 KB |
answer = YES |
46 |
Correct |
2 ms |
2796 KB |
answer = YES |
47 |
Correct |
3 ms |
2796 KB |
answer = YES |
48 |
Correct |
3 ms |
2796 KB |
answer = YES |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2668 KB |
answer = YES |
2 |
Correct |
2 ms |
2668 KB |
answer = YES |
3 |
Correct |
2 ms |
2668 KB |
answer = YES |
4 |
Correct |
2 ms |
2668 KB |
answer = NO |
5 |
Correct |
3 ms |
2668 KB |
answer = YES |
6 |
Correct |
2 ms |
2668 KB |
answer = YES |
7 |
Correct |
2 ms |
2668 KB |
answer = YES |
8 |
Correct |
2 ms |
2668 KB |
answer = YES |
9 |
Correct |
2 ms |
2668 KB |
answer = NO |
10 |
Correct |
2 ms |
2668 KB |
answer = YES |
11 |
Correct |
2 ms |
2668 KB |
answer = YES |
12 |
Correct |
2 ms |
2668 KB |
answer = NO |
13 |
Correct |
2 ms |
2668 KB |
answer = YES |
14 |
Correct |
3 ms |
2668 KB |
answer = YES |
15 |
Correct |
2 ms |
2668 KB |
answer = YES |
16 |
Correct |
2 ms |
2668 KB |
answer = YES |
17 |
Correct |
2 ms |
2688 KB |
answer = YES |
18 |
Correct |
2 ms |
2668 KB |
answer = YES |
19 |
Correct |
2 ms |
2668 KB |
answer = YES |
20 |
Correct |
2 ms |
2668 KB |
answer = YES |
21 |
Correct |
2 ms |
2668 KB |
answer = YES |
22 |
Correct |
2 ms |
2668 KB |
answer = NO |
23 |
Correct |
2 ms |
2668 KB |
answer = NO |
24 |
Correct |
3 ms |
2668 KB |
answer = YES |
25 |
Correct |
2 ms |
2668 KB |
answer = YES |
26 |
Correct |
3 ms |
2668 KB |
answer = YES |
27 |
Correct |
2 ms |
2668 KB |
answer = YES |
28 |
Correct |
2 ms |
2668 KB |
answer = YES |
29 |
Correct |
2 ms |
2668 KB |
answer = YES |
30 |
Correct |
2 ms |
2668 KB |
answer = NO |
31 |
Correct |
2 ms |
2668 KB |
answer = YES |
32 |
Correct |
2 ms |
2668 KB |
answer = YES |
33 |
Correct |
2 ms |
2668 KB |
answer = YES |
34 |
Correct |
2 ms |
2668 KB |
answer = YES |
35 |
Correct |
2 ms |
2668 KB |
answer = YES |
36 |
Correct |
2 ms |
2668 KB |
answer = YES |
37 |
Correct |
2 ms |
2668 KB |
answer = YES |
38 |
Correct |
2 ms |
2668 KB |
answer = YES |
39 |
Correct |
3 ms |
2796 KB |
answer = YES |
40 |
Correct |
4 ms |
2816 KB |
answer = YES |
41 |
Correct |
2 ms |
2796 KB |
answer = NO |
42 |
Correct |
3 ms |
2796 KB |
answer = YES |
43 |
Correct |
3 ms |
2796 KB |
answer = YES |
44 |
Correct |
3 ms |
2796 KB |
answer = YES |
45 |
Correct |
3 ms |
2796 KB |
answer = YES |
46 |
Correct |
2 ms |
2796 KB |
answer = YES |
47 |
Correct |
3 ms |
2796 KB |
answer = YES |
48 |
Correct |
3 ms |
2796 KB |
answer = YES |
49 |
Correct |
15 ms |
3564 KB |
answer = YES |
50 |
Correct |
15 ms |
3980 KB |
answer = YES |
51 |
Correct |
16 ms |
3948 KB |
answer = YES |
52 |
Correct |
6 ms |
3180 KB |
answer = NO |
53 |
Correct |
3 ms |
2796 KB |
answer = YES |
54 |
Correct |
4 ms |
2924 KB |
answer = YES |
55 |
Correct |
7 ms |
3180 KB |
answer = YES |
56 |
Correct |
12 ms |
3564 KB |
answer = YES |
57 |
Correct |
11 ms |
3436 KB |
answer = YES |
58 |
Correct |
11 ms |
3436 KB |
answer = YES |
59 |
Correct |
15 ms |
3436 KB |
answer = YES |
60 |
Correct |
12 ms |
3436 KB |
answer = YES |
61 |
Correct |
7 ms |
3200 KB |
answer = YES |
62 |
Correct |
63 ms |
7404 KB |
answer = NO |
63 |
Correct |
85 ms |
10372 KB |
answer = YES |
64 |
Correct |
87 ms |
10372 KB |
answer = NO |
65 |
Correct |
123 ms |
12676 KB |
answer = YES |
66 |
Correct |
4 ms |
2924 KB |
answer = YES |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2668 KB |
answer = YES |
2 |
Correct |
2 ms |
2668 KB |
answer = YES |
3 |
Correct |
2 ms |
2668 KB |
answer = YES |
4 |
Correct |
2 ms |
2668 KB |
answer = NO |
5 |
Correct |
3 ms |
2668 KB |
answer = YES |
6 |
Correct |
2 ms |
2668 KB |
answer = YES |
7 |
Correct |
2 ms |
2668 KB |
answer = YES |
8 |
Correct |
2 ms |
2668 KB |
answer = YES |
9 |
Correct |
2 ms |
2668 KB |
answer = NO |
10 |
Correct |
2 ms |
2668 KB |
answer = YES |
11 |
Correct |
2 ms |
2668 KB |
answer = YES |
12 |
Correct |
2 ms |
2668 KB |
answer = NO |
13 |
Correct |
2 ms |
2668 KB |
answer = YES |
14 |
Correct |
3 ms |
2668 KB |
answer = YES |
15 |
Correct |
2 ms |
2668 KB |
answer = YES |
16 |
Correct |
2 ms |
2668 KB |
answer = YES |
17 |
Correct |
2 ms |
2688 KB |
answer = YES |
18 |
Correct |
2 ms |
2668 KB |
answer = YES |
19 |
Correct |
2 ms |
2668 KB |
answer = YES |
20 |
Correct |
2 ms |
2668 KB |
answer = YES |
21 |
Correct |
2 ms |
2668 KB |
answer = YES |
22 |
Correct |
2 ms |
2668 KB |
answer = NO |
23 |
Correct |
2 ms |
2668 KB |
answer = NO |
24 |
Correct |
3 ms |
2668 KB |
answer = YES |
25 |
Correct |
2 ms |
2668 KB |
answer = YES |
26 |
Correct |
3 ms |
2668 KB |
answer = YES |
27 |
Correct |
2 ms |
2668 KB |
answer = YES |
28 |
Correct |
2 ms |
2668 KB |
answer = YES |
29 |
Correct |
2 ms |
2668 KB |
answer = YES |
30 |
Correct |
2 ms |
2668 KB |
answer = NO |
31 |
Correct |
2 ms |
2668 KB |
answer = YES |
32 |
Correct |
2 ms |
2668 KB |
answer = YES |
33 |
Correct |
2 ms |
2668 KB |
answer = YES |
34 |
Correct |
2 ms |
2668 KB |
answer = YES |
35 |
Correct |
2 ms |
2668 KB |
answer = YES |
36 |
Correct |
2 ms |
2668 KB |
answer = YES |
37 |
Correct |
2 ms |
2668 KB |
answer = YES |
38 |
Correct |
2 ms |
2668 KB |
answer = YES |
39 |
Correct |
3 ms |
2796 KB |
answer = YES |
40 |
Correct |
4 ms |
2816 KB |
answer = YES |
41 |
Correct |
2 ms |
2796 KB |
answer = NO |
42 |
Correct |
3 ms |
2796 KB |
answer = YES |
43 |
Correct |
3 ms |
2796 KB |
answer = YES |
44 |
Correct |
3 ms |
2796 KB |
answer = YES |
45 |
Correct |
3 ms |
2796 KB |
answer = YES |
46 |
Correct |
2 ms |
2796 KB |
answer = YES |
47 |
Correct |
3 ms |
2796 KB |
answer = YES |
48 |
Correct |
3 ms |
2796 KB |
answer = YES |
49 |
Correct |
15 ms |
3564 KB |
answer = YES |
50 |
Correct |
15 ms |
3980 KB |
answer = YES |
51 |
Correct |
16 ms |
3948 KB |
answer = YES |
52 |
Correct |
6 ms |
3180 KB |
answer = NO |
53 |
Correct |
3 ms |
2796 KB |
answer = YES |
54 |
Correct |
4 ms |
2924 KB |
answer = YES |
55 |
Correct |
7 ms |
3180 KB |
answer = YES |
56 |
Correct |
12 ms |
3564 KB |
answer = YES |
57 |
Correct |
11 ms |
3436 KB |
answer = YES |
58 |
Correct |
11 ms |
3436 KB |
answer = YES |
59 |
Correct |
15 ms |
3436 KB |
answer = YES |
60 |
Correct |
12 ms |
3436 KB |
answer = YES |
61 |
Correct |
7 ms |
3200 KB |
answer = YES |
62 |
Correct |
63 ms |
7404 KB |
answer = NO |
63 |
Correct |
85 ms |
10372 KB |
answer = YES |
64 |
Correct |
87 ms |
10372 KB |
answer = NO |
65 |
Correct |
123 ms |
12676 KB |
answer = YES |
66 |
Correct |
4 ms |
2924 KB |
answer = YES |
67 |
Correct |
122 ms |
19348 KB |
answer = YES |
68 |
Correct |
124 ms |
19040 KB |
answer = YES |
69 |
Correct |
96 ms |
19296 KB |
answer = YES |
70 |
Correct |
145 ms |
24392 KB |
answer = YES |
71 |
Correct |
102 ms |
19040 KB |
answer = YES |
72 |
Correct |
138 ms |
11788 KB |
answer = YES |
73 |
Correct |
132 ms |
11788 KB |
answer = YES |
74 |
Correct |
86 ms |
12308 KB |
answer = YES |
75 |
Correct |
32 ms |
8428 KB |
answer = NO |
76 |
Correct |
14 ms |
3820 KB |
answer = YES |
77 |
Correct |
28 ms |
4972 KB |
answer = YES |
78 |
Correct |
48 ms |
6760 KB |
answer = YES |
79 |
Correct |
104 ms |
10592 KB |
answer = YES |
80 |
Correct |
87 ms |
12308 KB |
answer = YES |
81 |
Correct |
56 ms |
13024 KB |
answer = NO |
82 |
Correct |
131 ms |
18528 KB |
answer = YES |
83 |
Correct |
155 ms |
19424 KB |
answer = YES |
84 |
Correct |
168 ms |
19176 KB |
answer = YES |
85 |
Correct |
116 ms |
19168 KB |
answer = YES |
86 |
Correct |
114 ms |
19168 KB |
answer = YES |
87 |
Correct |
68 ms |
11372 KB |
answer = NO |
88 |
Correct |
151 ms |
14312 KB |
answer = YES |
89 |
Correct |
124 ms |
10220 KB |
answer = YES |
90 |
Correct |
109 ms |
10348 KB |
answer = YES |
91 |
Correct |
120 ms |
10220 KB |
answer = YES |
92 |
Correct |
56 ms |
7400 KB |
answer = YES |
93 |
Correct |
58 ms |
7532 KB |
answer = YES |
94 |
Correct |
87 ms |
16736 KB |
answer = NO |
95 |
Correct |
57 ms |
8684 KB |
answer = NO |
96 |
Correct |
227 ms |
21116 KB |
answer = YES |
97 |
Correct |
44 ms |
16736 KB |
answer = NO |