// be nam khodavand jano kherad kazin bartar andishe bar nagzarad
#include<bits/stdc++.h>
using namespace std;
const int N = 1e5 + 12;
int n, m, bakhsh[N], omgh[N];
double x[N], check;
bool mrk[N];
vector<pair<int, int> > g[N], xs;
void output() {
cout << "YES\n";
for (int i = 1; i <= n; i++)
cout << x[i] << ' ';
}
void wrong_output() {
cout << "NO\n";
exit(0);
}
void check_ans(int a) {
for (auto i: g[a]) {
int v = i.first;
int dis = i.second;
if (mrk[v]) {
if (dis - x[a] != x[v])
wrong_output();
}
else {
mrk[v] = true;
x[v] = dis - x[a];
check_ans(v);
}
}
}
void dfs(int u) {
for (auto i: g[u]) {
int v = i.first;
if (omgh[v] == omgh[u]) {
check = (x[v] * -1 * omgh[v] + ((i.second - x[u]) * omgh[u])) / 2.0;
return;
}
if (!omgh[v]) {
omgh[v] = omgh[u] * -1;
x[v] = i.second - x[u];
dfs(v);
}
}
}
void dfs_fill_x(int a) {
for (auto i: g[a]) {
int u = i.first;
omgh[u] = omgh[a] * -1;
int tmp = (i.second - omgh[a] * x[a]) * omgh[u];
if (mrk[u]) {
if (x[u] != tmp)
wrong_output();
}
else {
x[u] = tmp;
xs.push_back({tmp, u});
mrk[u] = true;
dfs_fill_x(u);
}
}
}
void minimize_output() {
sort(xs.begin(), xs.end());
int tmp = xs.size();
tmp /= 2;
int r = xs[tmp].first;
for (auto i: xs)
x[i.second] = (i.first - r) * omgh[i.second];
}
bool do_bakhshi(int u) {
bool res = true;
for (auto i: g[u]) {
int v = i.first;
if (bakhsh[v] == bakhsh[u])
return false;
if (!bakhsh[v]) {
bakhsh[v] = (bakhsh[u] == 1)? 2 : 1;
res &= do_bakhshi(v);
}
}
return res;
}
void solve() {
for (int i = 1; i <= n; i++) {
if (!mrk[i]) {
xs.clear();
xs.push_back({0, i});
check = 0;
bakhsh[i] = 1;
omgh[i] = 1;
mrk[i] = true;
if (do_bakhshi(i)) dfs_fill_x(i), minimize_output();
else {
dfs(i);
x[i] = check;
check_ans(i);
}
}
}
}
void input() {
cin >> n >> m;
for (int i = 0; i < m; i++) {
int u, v, color;
cin >> u >> v >> color;
g[u].push_back({v, color});
g[v].push_back({u, color});
}
}
int main() {
ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0);
input(), solve(), output();
}
// migan garme bazar kheila
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2680 KB |
answer = YES |
2 |
Correct |
2 ms |
2644 KB |
answer = YES |
3 |
Correct |
2 ms |
2644 KB |
answer = YES |
4 |
Correct |
2 ms |
2644 KB |
answer = NO |
5 |
Correct |
2 ms |
2644 KB |
answer = YES |
6 |
Correct |
2 ms |
2676 KB |
answer = YES |
7 |
Correct |
2 ms |
2644 KB |
answer = YES |
8 |
Correct |
2 ms |
2644 KB |
answer = YES |
9 |
Correct |
2 ms |
2676 KB |
answer = NO |
10 |
Correct |
2 ms |
2648 KB |
answer = YES |
11 |
Correct |
2 ms |
2680 KB |
answer = YES |
12 |
Correct |
2 ms |
2684 KB |
answer = NO |
13 |
Correct |
2 ms |
2644 KB |
answer = YES |
14 |
Correct |
2 ms |
2644 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 |
2644 KB |
answer = YES |
19 |
Correct |
2 ms |
2644 KB |
answer = YES |
20 |
Correct |
2 ms |
2644 KB |
answer = YES |
21 |
Correct |
2 ms |
2676 KB |
answer = YES |
22 |
Correct |
2 ms |
2644 KB |
answer = NO |
23 |
Correct |
1 ms |
2644 KB |
answer = NO |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2680 KB |
answer = YES |
2 |
Correct |
2 ms |
2644 KB |
answer = YES |
3 |
Correct |
2 ms |
2644 KB |
answer = YES |
4 |
Correct |
2 ms |
2644 KB |
answer = NO |
5 |
Correct |
2 ms |
2644 KB |
answer = YES |
6 |
Correct |
2 ms |
2676 KB |
answer = YES |
7 |
Correct |
2 ms |
2644 KB |
answer = YES |
8 |
Correct |
2 ms |
2644 KB |
answer = YES |
9 |
Correct |
2 ms |
2676 KB |
answer = NO |
10 |
Correct |
2 ms |
2648 KB |
answer = YES |
11 |
Correct |
2 ms |
2680 KB |
answer = YES |
12 |
Correct |
2 ms |
2684 KB |
answer = NO |
13 |
Correct |
2 ms |
2644 KB |
answer = YES |
14 |
Correct |
2 ms |
2644 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 |
2644 KB |
answer = YES |
19 |
Correct |
2 ms |
2644 KB |
answer = YES |
20 |
Correct |
2 ms |
2644 KB |
answer = YES |
21 |
Correct |
2 ms |
2676 KB |
answer = YES |
22 |
Correct |
2 ms |
2644 KB |
answer = NO |
23 |
Correct |
1 ms |
2644 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 |
2680 KB |
answer = YES |
28 |
Correct |
2 ms |
2684 KB |
answer = YES |
29 |
Correct |
2 ms |
2644 KB |
answer = YES |
30 |
Correct |
2 ms |
2644 KB |
answer = NO |
31 |
Correct |
2 ms |
2644 KB |
answer = YES |
32 |
Correct |
2 ms |
2644 KB |
answer = YES |
33 |
Correct |
2 ms |
2684 KB |
answer = YES |
34 |
Correct |
2 ms |
2644 KB |
answer = YES |
35 |
Correct |
1 ms |
2644 KB |
answer = YES |
36 |
Correct |
2 ms |
2644 KB |
answer = YES |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2680 KB |
answer = YES |
2 |
Correct |
2 ms |
2644 KB |
answer = YES |
3 |
Correct |
2 ms |
2644 KB |
answer = YES |
4 |
Correct |
2 ms |
2644 KB |
answer = NO |
5 |
Correct |
2 ms |
2644 KB |
answer = YES |
6 |
Correct |
2 ms |
2676 KB |
answer = YES |
7 |
Correct |
2 ms |
2644 KB |
answer = YES |
8 |
Correct |
2 ms |
2644 KB |
answer = YES |
9 |
Correct |
2 ms |
2676 KB |
answer = NO |
10 |
Correct |
2 ms |
2648 KB |
answer = YES |
11 |
Correct |
2 ms |
2680 KB |
answer = YES |
12 |
Correct |
2 ms |
2684 KB |
answer = NO |
13 |
Correct |
2 ms |
2644 KB |
answer = YES |
14 |
Correct |
2 ms |
2644 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 |
2644 KB |
answer = YES |
19 |
Correct |
2 ms |
2644 KB |
answer = YES |
20 |
Correct |
2 ms |
2644 KB |
answer = YES |
21 |
Correct |
2 ms |
2676 KB |
answer = YES |
22 |
Correct |
2 ms |
2644 KB |
answer = NO |
23 |
Correct |
1 ms |
2644 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 |
2680 KB |
answer = YES |
28 |
Correct |
2 ms |
2684 KB |
answer = YES |
29 |
Correct |
2 ms |
2644 KB |
answer = YES |
30 |
Correct |
2 ms |
2644 KB |
answer = NO |
31 |
Correct |
2 ms |
2644 KB |
answer = YES |
32 |
Correct |
2 ms |
2644 KB |
answer = YES |
33 |
Correct |
2 ms |
2684 KB |
answer = YES |
34 |
Correct |
2 ms |
2644 KB |
answer = YES |
35 |
Correct |
1 ms |
2644 KB |
answer = YES |
36 |
Correct |
2 ms |
2644 KB |
answer = YES |
37 |
Correct |
2 ms |
2676 KB |
answer = YES |
38 |
Correct |
2 ms |
2676 KB |
answer = YES |
39 |
Correct |
3 ms |
2644 KB |
answer = YES |
40 |
Correct |
2 ms |
2644 KB |
answer = YES |
41 |
Correct |
2 ms |
2680 KB |
answer = NO |
42 |
Correct |
2 ms |
2772 KB |
answer = YES |
43 |
Correct |
3 ms |
2644 KB |
answer = YES |
44 |
Correct |
4 ms |
2644 KB |
answer = YES |
45 |
Correct |
2 ms |
2684 KB |
answer = YES |
46 |
Correct |
2 ms |
2644 KB |
answer = YES |
47 |
Correct |
3 ms |
2680 KB |
answer = YES |
48 |
Correct |
3 ms |
2644 KB |
answer = YES |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2680 KB |
answer = YES |
2 |
Correct |
2 ms |
2644 KB |
answer = YES |
3 |
Correct |
2 ms |
2644 KB |
answer = YES |
4 |
Correct |
2 ms |
2644 KB |
answer = NO |
5 |
Correct |
2 ms |
2644 KB |
answer = YES |
6 |
Correct |
2 ms |
2676 KB |
answer = YES |
7 |
Correct |
2 ms |
2644 KB |
answer = YES |
8 |
Correct |
2 ms |
2644 KB |
answer = YES |
9 |
Correct |
2 ms |
2676 KB |
answer = NO |
10 |
Correct |
2 ms |
2648 KB |
answer = YES |
11 |
Correct |
2 ms |
2680 KB |
answer = YES |
12 |
Correct |
2 ms |
2684 KB |
answer = NO |
13 |
Correct |
2 ms |
2644 KB |
answer = YES |
14 |
Correct |
2 ms |
2644 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 |
2644 KB |
answer = YES |
19 |
Correct |
2 ms |
2644 KB |
answer = YES |
20 |
Correct |
2 ms |
2644 KB |
answer = YES |
21 |
Correct |
2 ms |
2676 KB |
answer = YES |
22 |
Correct |
2 ms |
2644 KB |
answer = NO |
23 |
Correct |
1 ms |
2644 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 |
2680 KB |
answer = YES |
28 |
Correct |
2 ms |
2684 KB |
answer = YES |
29 |
Correct |
2 ms |
2644 KB |
answer = YES |
30 |
Correct |
2 ms |
2644 KB |
answer = NO |
31 |
Correct |
2 ms |
2644 KB |
answer = YES |
32 |
Correct |
2 ms |
2644 KB |
answer = YES |
33 |
Correct |
2 ms |
2684 KB |
answer = YES |
34 |
Correct |
2 ms |
2644 KB |
answer = YES |
35 |
Correct |
1 ms |
2644 KB |
answer = YES |
36 |
Correct |
2 ms |
2644 KB |
answer = YES |
37 |
Correct |
2 ms |
2676 KB |
answer = YES |
38 |
Correct |
2 ms |
2676 KB |
answer = YES |
39 |
Correct |
3 ms |
2644 KB |
answer = YES |
40 |
Correct |
2 ms |
2644 KB |
answer = YES |
41 |
Correct |
2 ms |
2680 KB |
answer = NO |
42 |
Correct |
2 ms |
2772 KB |
answer = YES |
43 |
Correct |
3 ms |
2644 KB |
answer = YES |
44 |
Correct |
4 ms |
2644 KB |
answer = YES |
45 |
Correct |
2 ms |
2684 KB |
answer = YES |
46 |
Correct |
2 ms |
2644 KB |
answer = YES |
47 |
Correct |
3 ms |
2680 KB |
answer = YES |
48 |
Correct |
3 ms |
2644 KB |
answer = YES |
49 |
Correct |
10 ms |
3456 KB |
answer = YES |
50 |
Correct |
9 ms |
3584 KB |
answer = YES |
51 |
Correct |
10 ms |
4120 KB |
answer = YES |
52 |
Correct |
7 ms |
3456 KB |
answer = NO |
53 |
Correct |
4 ms |
2772 KB |
answer = YES |
54 |
Correct |
4 ms |
2900 KB |
answer = YES |
55 |
Correct |
6 ms |
3028 KB |
answer = YES |
56 |
Correct |
9 ms |
3540 KB |
answer = YES |
57 |
Correct |
9 ms |
3328 KB |
answer = YES |
58 |
Correct |
12 ms |
3404 KB |
answer = YES |
59 |
Correct |
9 ms |
3284 KB |
answer = YES |
60 |
Correct |
9 ms |
3460 KB |
answer = YES |
61 |
Correct |
5 ms |
3028 KB |
answer = YES |
62 |
Correct |
56 ms |
9924 KB |
answer = NO |
63 |
Correct |
56 ms |
10044 KB |
answer = YES |
64 |
Correct |
53 ms |
10112 KB |
answer = NO |
65 |
Correct |
54 ms |
10080 KB |
answer = YES |
66 |
Correct |
3 ms |
2772 KB |
answer = YES |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2680 KB |
answer = YES |
2 |
Correct |
2 ms |
2644 KB |
answer = YES |
3 |
Correct |
2 ms |
2644 KB |
answer = YES |
4 |
Correct |
2 ms |
2644 KB |
answer = NO |
5 |
Correct |
2 ms |
2644 KB |
answer = YES |
6 |
Correct |
2 ms |
2676 KB |
answer = YES |
7 |
Correct |
2 ms |
2644 KB |
answer = YES |
8 |
Correct |
2 ms |
2644 KB |
answer = YES |
9 |
Correct |
2 ms |
2676 KB |
answer = NO |
10 |
Correct |
2 ms |
2648 KB |
answer = YES |
11 |
Correct |
2 ms |
2680 KB |
answer = YES |
12 |
Correct |
2 ms |
2684 KB |
answer = NO |
13 |
Correct |
2 ms |
2644 KB |
answer = YES |
14 |
Correct |
2 ms |
2644 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 |
2644 KB |
answer = YES |
19 |
Correct |
2 ms |
2644 KB |
answer = YES |
20 |
Correct |
2 ms |
2644 KB |
answer = YES |
21 |
Correct |
2 ms |
2676 KB |
answer = YES |
22 |
Correct |
2 ms |
2644 KB |
answer = NO |
23 |
Correct |
1 ms |
2644 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 |
2680 KB |
answer = YES |
28 |
Correct |
2 ms |
2684 KB |
answer = YES |
29 |
Correct |
2 ms |
2644 KB |
answer = YES |
30 |
Correct |
2 ms |
2644 KB |
answer = NO |
31 |
Correct |
2 ms |
2644 KB |
answer = YES |
32 |
Correct |
2 ms |
2644 KB |
answer = YES |
33 |
Correct |
2 ms |
2684 KB |
answer = YES |
34 |
Correct |
2 ms |
2644 KB |
answer = YES |
35 |
Correct |
1 ms |
2644 KB |
answer = YES |
36 |
Correct |
2 ms |
2644 KB |
answer = YES |
37 |
Correct |
2 ms |
2676 KB |
answer = YES |
38 |
Correct |
2 ms |
2676 KB |
answer = YES |
39 |
Correct |
3 ms |
2644 KB |
answer = YES |
40 |
Correct |
2 ms |
2644 KB |
answer = YES |
41 |
Correct |
2 ms |
2680 KB |
answer = NO |
42 |
Correct |
2 ms |
2772 KB |
answer = YES |
43 |
Correct |
3 ms |
2644 KB |
answer = YES |
44 |
Correct |
4 ms |
2644 KB |
answer = YES |
45 |
Correct |
2 ms |
2684 KB |
answer = YES |
46 |
Correct |
2 ms |
2644 KB |
answer = YES |
47 |
Correct |
3 ms |
2680 KB |
answer = YES |
48 |
Correct |
3 ms |
2644 KB |
answer = YES |
49 |
Correct |
10 ms |
3456 KB |
answer = YES |
50 |
Correct |
9 ms |
3584 KB |
answer = YES |
51 |
Correct |
10 ms |
4120 KB |
answer = YES |
52 |
Correct |
7 ms |
3456 KB |
answer = NO |
53 |
Correct |
4 ms |
2772 KB |
answer = YES |
54 |
Correct |
4 ms |
2900 KB |
answer = YES |
55 |
Correct |
6 ms |
3028 KB |
answer = YES |
56 |
Correct |
9 ms |
3540 KB |
answer = YES |
57 |
Correct |
9 ms |
3328 KB |
answer = YES |
58 |
Correct |
12 ms |
3404 KB |
answer = YES |
59 |
Correct |
9 ms |
3284 KB |
answer = YES |
60 |
Correct |
9 ms |
3460 KB |
answer = YES |
61 |
Correct |
5 ms |
3028 KB |
answer = YES |
62 |
Correct |
56 ms |
9924 KB |
answer = NO |
63 |
Correct |
56 ms |
10044 KB |
answer = YES |
64 |
Correct |
53 ms |
10112 KB |
answer = NO |
65 |
Correct |
54 ms |
10080 KB |
answer = YES |
66 |
Correct |
3 ms |
2772 KB |
answer = YES |
67 |
Correct |
98 ms |
20924 KB |
answer = YES |
68 |
Correct |
81 ms |
20868 KB |
answer = YES |
69 |
Correct |
79 ms |
13728 KB |
answer = YES |
70 |
Correct |
108 ms |
18152 KB |
answer = YES |
71 |
Correct |
87 ms |
13808 KB |
answer = YES |
72 |
Correct |
114 ms |
10556 KB |
answer = YES |
73 |
Correct |
95 ms |
9676 KB |
answer = YES |
74 |
Correct |
58 ms |
9292 KB |
answer = YES |
75 |
Correct |
25 ms |
9736 KB |
answer = NO |
76 |
Correct |
12 ms |
3668 KB |
answer = YES |
77 |
Correct |
24 ms |
4704 KB |
answer = YES |
78 |
Correct |
42 ms |
6148 KB |
answer = YES |
79 |
Correct |
87 ms |
9512 KB |
answer = YES |
80 |
Correct |
60 ms |
13060 KB |
answer = YES |
81 |
Correct |
56 ms |
11200 KB |
answer = NO |
82 |
Correct |
127 ms |
13540 KB |
answer = YES |
83 |
Correct |
134 ms |
13864 KB |
answer = YES |
84 |
Correct |
136 ms |
20900 KB |
answer = YES |
85 |
Correct |
91 ms |
20972 KB |
answer = YES |
86 |
Correct |
84 ms |
13812 KB |
answer = YES |
87 |
Correct |
64 ms |
12252 KB |
answer = NO |
88 |
Correct |
132 ms |
11336 KB |
answer = YES |
89 |
Correct |
79 ms |
9024 KB |
answer = YES |
90 |
Correct |
85 ms |
9032 KB |
answer = YES |
91 |
Correct |
118 ms |
9052 KB |
answer = YES |
92 |
Correct |
48 ms |
6184 KB |
answer = YES |
93 |
Correct |
64 ms |
6080 KB |
answer = YES |
94 |
Correct |
68 ms |
20668 KB |
answer = NO |
95 |
Correct |
39 ms |
8780 KB |
answer = NO |
96 |
Correct |
194 ms |
16352 KB |
answer = YES |
97 |
Correct |
36 ms |
20544 KB |
answer = NO |