#include <bits/stdc++.h>
using namespace std;
/*
- Los valores de los distintos componentes conectados son independientes entre sí.
- Cuando se hace un DFS de un CC(componente conectado), el vértice inicial tiene un valor de x
- Para cada eje (a, b, c)
Si b no está explorado, valor[b] = c - valor[a]
Si b está explorado, pero la expresion c = valor[a] + valor[b] no da
ninguna información adicional, no se hace nada
Si b está explorado, y la expresión da información adicional, se usa para calcular x.
para evitar WA verificar el resultado
*/
vector<int> eje[100001];
vector<int> color[100001];
vector<double> coefx(100001, 0.0);
vector<double> coefc(100001, 0.0);
vector<int> componentes(100001, 0);
vector<double> xval(1);
vector<double> findx;
int comp_cnt = 0;
void dfs(int u){
findx.push_back(coefc[u] * coefx[u] * -1.0);
for(int i = 0; i < eje[u].size(); i++){
int v = eje[u][i];
int c = color[u][i];
if(!componentes[v]){
componentes[v] = comp_cnt;
coefx[v] = -1.0 * coefx[u];
coefc[v] = double(c) - coefc[u];
dfs(v);
}else{
if(coefx[u] + coefx[v] == 0.0) continue;
xval.back() = (double(c) - (coefc[u] + coefc[v]))/(coefx[u] + coefx[v]);
}
}
}
int main(){
int n, m;
cin>>n>>m;
int a, b, c;
for(int i = 1; i <= m; i++){
cin>>a>>b>>c;
eje[a].push_back(b);
color[a].push_back(c);
eje[b].push_back(a);
color[b].push_back(c);
}
for(int i = 1; i <= n; i++){
if(componentes[i]) continue;
comp_cnt++;
componentes[i] = comp_cnt;
coefx[i] = 1.0;
xval.push_back(-9999.9);
findx.clear();
dfs(i);
if(xval.back() == -9999.9){
sort(findx.begin(), findx.end());
xval.back() = findx[findx.size()/2];
}
}
double val[n+1];
for(int i = 1; i <= n; i++){
val[i] = coefx[i] * xval[componentes[i]] + coefc[i];
}
for(int i = 1; i <= n; i++){
for(int j = 0; j < eje[i].size(); j++){
if(val[i] + val[eje[i][j]] != color[i][j]){
cout<<"NO\n";
return 0;
}
}
}
cout<<"YES\n";
for(int i = 1; i <= n; i++){
cout << val[i] << ' ';
}
cout << '\n';
}
Compilation message
Graph.cpp: In function 'void dfs(int)':
Graph.cpp:28:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
28 | for(int i = 0; i < eje[u].size(); i++){
| ~~^~~~~~~~~~~~~~~
Graph.cpp: In function 'int main()':
Graph.cpp:78:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
78 | for(int j = 0; j < eje[i].size(); j++){
| ~~^~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
6868 KB |
answer = YES |
2 |
Correct |
4 ms |
6868 KB |
answer = YES |
3 |
Correct |
4 ms |
6972 KB |
answer = YES |
4 |
Correct |
4 ms |
6868 KB |
answer = NO |
5 |
Correct |
4 ms |
7104 KB |
answer = YES |
6 |
Correct |
4 ms |
6968 KB |
answer = YES |
7 |
Correct |
4 ms |
6984 KB |
answer = YES |
8 |
Correct |
4 ms |
6868 KB |
answer = YES |
9 |
Correct |
4 ms |
6868 KB |
answer = NO |
10 |
Correct |
4 ms |
6972 KB |
answer = YES |
11 |
Correct |
4 ms |
6976 KB |
answer = YES |
12 |
Correct |
4 ms |
6868 KB |
answer = NO |
13 |
Correct |
4 ms |
6868 KB |
answer = YES |
14 |
Correct |
4 ms |
6976 KB |
answer = YES |
15 |
Correct |
5 ms |
6972 KB |
answer = YES |
16 |
Correct |
4 ms |
6976 KB |
answer = YES |
17 |
Correct |
4 ms |
6868 KB |
answer = YES |
18 |
Correct |
4 ms |
6868 KB |
answer = YES |
19 |
Correct |
3 ms |
6972 KB |
answer = YES |
20 |
Correct |
4 ms |
6972 KB |
answer = YES |
21 |
Correct |
4 ms |
6868 KB |
answer = YES |
22 |
Correct |
4 ms |
6956 KB |
answer = NO |
23 |
Correct |
4 ms |
6980 KB |
answer = NO |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
6868 KB |
answer = YES |
2 |
Correct |
4 ms |
6868 KB |
answer = YES |
3 |
Correct |
4 ms |
6972 KB |
answer = YES |
4 |
Correct |
4 ms |
6868 KB |
answer = NO |
5 |
Correct |
4 ms |
7104 KB |
answer = YES |
6 |
Correct |
4 ms |
6968 KB |
answer = YES |
7 |
Correct |
4 ms |
6984 KB |
answer = YES |
8 |
Correct |
4 ms |
6868 KB |
answer = YES |
9 |
Correct |
4 ms |
6868 KB |
answer = NO |
10 |
Correct |
4 ms |
6972 KB |
answer = YES |
11 |
Correct |
4 ms |
6976 KB |
answer = YES |
12 |
Correct |
4 ms |
6868 KB |
answer = NO |
13 |
Correct |
4 ms |
6868 KB |
answer = YES |
14 |
Correct |
4 ms |
6976 KB |
answer = YES |
15 |
Correct |
5 ms |
6972 KB |
answer = YES |
16 |
Correct |
4 ms |
6976 KB |
answer = YES |
17 |
Correct |
4 ms |
6868 KB |
answer = YES |
18 |
Correct |
4 ms |
6868 KB |
answer = YES |
19 |
Correct |
3 ms |
6972 KB |
answer = YES |
20 |
Correct |
4 ms |
6972 KB |
answer = YES |
21 |
Correct |
4 ms |
6868 KB |
answer = YES |
22 |
Correct |
4 ms |
6956 KB |
answer = NO |
23 |
Correct |
4 ms |
6980 KB |
answer = NO |
24 |
Correct |
4 ms |
6868 KB |
answer = YES |
25 |
Correct |
4 ms |
6868 KB |
answer = YES |
26 |
Correct |
4 ms |
6868 KB |
answer = YES |
27 |
Correct |
4 ms |
6976 KB |
answer = YES |
28 |
Correct |
5 ms |
6976 KB |
answer = YES |
29 |
Correct |
4 ms |
6868 KB |
answer = YES |
30 |
Correct |
4 ms |
6868 KB |
answer = NO |
31 |
Correct |
4 ms |
6972 KB |
answer = YES |
32 |
Correct |
4 ms |
6980 KB |
answer = YES |
33 |
Correct |
4 ms |
6972 KB |
answer = YES |
34 |
Correct |
4 ms |
6868 KB |
answer = YES |
35 |
Correct |
4 ms |
6868 KB |
answer = YES |
36 |
Correct |
4 ms |
6868 KB |
answer = YES |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
6868 KB |
answer = YES |
2 |
Correct |
4 ms |
6868 KB |
answer = YES |
3 |
Correct |
4 ms |
6972 KB |
answer = YES |
4 |
Correct |
4 ms |
6868 KB |
answer = NO |
5 |
Correct |
4 ms |
7104 KB |
answer = YES |
6 |
Correct |
4 ms |
6968 KB |
answer = YES |
7 |
Correct |
4 ms |
6984 KB |
answer = YES |
8 |
Correct |
4 ms |
6868 KB |
answer = YES |
9 |
Correct |
4 ms |
6868 KB |
answer = NO |
10 |
Correct |
4 ms |
6972 KB |
answer = YES |
11 |
Correct |
4 ms |
6976 KB |
answer = YES |
12 |
Correct |
4 ms |
6868 KB |
answer = NO |
13 |
Correct |
4 ms |
6868 KB |
answer = YES |
14 |
Correct |
4 ms |
6976 KB |
answer = YES |
15 |
Correct |
5 ms |
6972 KB |
answer = YES |
16 |
Correct |
4 ms |
6976 KB |
answer = YES |
17 |
Correct |
4 ms |
6868 KB |
answer = YES |
18 |
Correct |
4 ms |
6868 KB |
answer = YES |
19 |
Correct |
3 ms |
6972 KB |
answer = YES |
20 |
Correct |
4 ms |
6972 KB |
answer = YES |
21 |
Correct |
4 ms |
6868 KB |
answer = YES |
22 |
Correct |
4 ms |
6956 KB |
answer = NO |
23 |
Correct |
4 ms |
6980 KB |
answer = NO |
24 |
Correct |
4 ms |
6868 KB |
answer = YES |
25 |
Correct |
4 ms |
6868 KB |
answer = YES |
26 |
Correct |
4 ms |
6868 KB |
answer = YES |
27 |
Correct |
4 ms |
6976 KB |
answer = YES |
28 |
Correct |
5 ms |
6976 KB |
answer = YES |
29 |
Correct |
4 ms |
6868 KB |
answer = YES |
30 |
Correct |
4 ms |
6868 KB |
answer = NO |
31 |
Correct |
4 ms |
6972 KB |
answer = YES |
32 |
Correct |
4 ms |
6980 KB |
answer = YES |
33 |
Correct |
4 ms |
6972 KB |
answer = YES |
34 |
Correct |
4 ms |
6868 KB |
answer = YES |
35 |
Correct |
4 ms |
6868 KB |
answer = YES |
36 |
Correct |
4 ms |
6868 KB |
answer = YES |
37 |
Correct |
4 ms |
6868 KB |
answer = YES |
38 |
Correct |
4 ms |
6868 KB |
answer = YES |
39 |
Correct |
5 ms |
6996 KB |
answer = YES |
40 |
Correct |
5 ms |
6996 KB |
answer = YES |
41 |
Correct |
5 ms |
6988 KB |
answer = NO |
42 |
Correct |
5 ms |
6996 KB |
answer = YES |
43 |
Correct |
5 ms |
6984 KB |
answer = YES |
44 |
Correct |
5 ms |
6996 KB |
answer = YES |
45 |
Correct |
6 ms |
6984 KB |
answer = YES |
46 |
Correct |
4 ms |
6996 KB |
answer = YES |
47 |
Correct |
5 ms |
6984 KB |
answer = YES |
48 |
Correct |
5 ms |
6996 KB |
answer = YES |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
6868 KB |
answer = YES |
2 |
Correct |
4 ms |
6868 KB |
answer = YES |
3 |
Correct |
4 ms |
6972 KB |
answer = YES |
4 |
Correct |
4 ms |
6868 KB |
answer = NO |
5 |
Correct |
4 ms |
7104 KB |
answer = YES |
6 |
Correct |
4 ms |
6968 KB |
answer = YES |
7 |
Correct |
4 ms |
6984 KB |
answer = YES |
8 |
Correct |
4 ms |
6868 KB |
answer = YES |
9 |
Correct |
4 ms |
6868 KB |
answer = NO |
10 |
Correct |
4 ms |
6972 KB |
answer = YES |
11 |
Correct |
4 ms |
6976 KB |
answer = YES |
12 |
Correct |
4 ms |
6868 KB |
answer = NO |
13 |
Correct |
4 ms |
6868 KB |
answer = YES |
14 |
Correct |
4 ms |
6976 KB |
answer = YES |
15 |
Correct |
5 ms |
6972 KB |
answer = YES |
16 |
Correct |
4 ms |
6976 KB |
answer = YES |
17 |
Correct |
4 ms |
6868 KB |
answer = YES |
18 |
Correct |
4 ms |
6868 KB |
answer = YES |
19 |
Correct |
3 ms |
6972 KB |
answer = YES |
20 |
Correct |
4 ms |
6972 KB |
answer = YES |
21 |
Correct |
4 ms |
6868 KB |
answer = YES |
22 |
Correct |
4 ms |
6956 KB |
answer = NO |
23 |
Correct |
4 ms |
6980 KB |
answer = NO |
24 |
Correct |
4 ms |
6868 KB |
answer = YES |
25 |
Correct |
4 ms |
6868 KB |
answer = YES |
26 |
Correct |
4 ms |
6868 KB |
answer = YES |
27 |
Correct |
4 ms |
6976 KB |
answer = YES |
28 |
Correct |
5 ms |
6976 KB |
answer = YES |
29 |
Correct |
4 ms |
6868 KB |
answer = YES |
30 |
Correct |
4 ms |
6868 KB |
answer = NO |
31 |
Correct |
4 ms |
6972 KB |
answer = YES |
32 |
Correct |
4 ms |
6980 KB |
answer = YES |
33 |
Correct |
4 ms |
6972 KB |
answer = YES |
34 |
Correct |
4 ms |
6868 KB |
answer = YES |
35 |
Correct |
4 ms |
6868 KB |
answer = YES |
36 |
Correct |
4 ms |
6868 KB |
answer = YES |
37 |
Correct |
4 ms |
6868 KB |
answer = YES |
38 |
Correct |
4 ms |
6868 KB |
answer = YES |
39 |
Correct |
5 ms |
6996 KB |
answer = YES |
40 |
Correct |
5 ms |
6996 KB |
answer = YES |
41 |
Correct |
5 ms |
6988 KB |
answer = NO |
42 |
Correct |
5 ms |
6996 KB |
answer = YES |
43 |
Correct |
5 ms |
6984 KB |
answer = YES |
44 |
Correct |
5 ms |
6996 KB |
answer = YES |
45 |
Correct |
6 ms |
6984 KB |
answer = YES |
46 |
Correct |
4 ms |
6996 KB |
answer = YES |
47 |
Correct |
5 ms |
6984 KB |
answer = YES |
48 |
Correct |
5 ms |
6996 KB |
answer = YES |
49 |
Correct |
16 ms |
8020 KB |
answer = YES |
50 |
Correct |
17 ms |
8276 KB |
answer = YES |
51 |
Correct |
16 ms |
8304 KB |
answer = YES |
52 |
Correct |
14 ms |
8268 KB |
answer = NO |
53 |
Correct |
6 ms |
7048 KB |
answer = YES |
54 |
Correct |
7 ms |
7112 KB |
answer = YES |
55 |
Correct |
10 ms |
7496 KB |
answer = YES |
56 |
Correct |
16 ms |
7928 KB |
answer = YES |
57 |
Correct |
16 ms |
7792 KB |
answer = YES |
58 |
Correct |
15 ms |
7764 KB |
answer = YES |
59 |
Correct |
15 ms |
7764 KB |
answer = YES |
60 |
Correct |
18 ms |
7880 KB |
answer = YES |
61 |
Correct |
11 ms |
7468 KB |
answer = YES |
62 |
Correct |
163 ms |
14624 KB |
answer = NO |
63 |
Correct |
153 ms |
14628 KB |
answer = YES |
64 |
Correct |
155 ms |
14616 KB |
answer = NO |
65 |
Correct |
152 ms |
14540 KB |
answer = YES |
66 |
Correct |
6 ms |
7124 KB |
answer = YES |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
6868 KB |
answer = YES |
2 |
Correct |
4 ms |
6868 KB |
answer = YES |
3 |
Correct |
4 ms |
6972 KB |
answer = YES |
4 |
Correct |
4 ms |
6868 KB |
answer = NO |
5 |
Correct |
4 ms |
7104 KB |
answer = YES |
6 |
Correct |
4 ms |
6968 KB |
answer = YES |
7 |
Correct |
4 ms |
6984 KB |
answer = YES |
8 |
Correct |
4 ms |
6868 KB |
answer = YES |
9 |
Correct |
4 ms |
6868 KB |
answer = NO |
10 |
Correct |
4 ms |
6972 KB |
answer = YES |
11 |
Correct |
4 ms |
6976 KB |
answer = YES |
12 |
Correct |
4 ms |
6868 KB |
answer = NO |
13 |
Correct |
4 ms |
6868 KB |
answer = YES |
14 |
Correct |
4 ms |
6976 KB |
answer = YES |
15 |
Correct |
5 ms |
6972 KB |
answer = YES |
16 |
Correct |
4 ms |
6976 KB |
answer = YES |
17 |
Correct |
4 ms |
6868 KB |
answer = YES |
18 |
Correct |
4 ms |
6868 KB |
answer = YES |
19 |
Correct |
3 ms |
6972 KB |
answer = YES |
20 |
Correct |
4 ms |
6972 KB |
answer = YES |
21 |
Correct |
4 ms |
6868 KB |
answer = YES |
22 |
Correct |
4 ms |
6956 KB |
answer = NO |
23 |
Correct |
4 ms |
6980 KB |
answer = NO |
24 |
Correct |
4 ms |
6868 KB |
answer = YES |
25 |
Correct |
4 ms |
6868 KB |
answer = YES |
26 |
Correct |
4 ms |
6868 KB |
answer = YES |
27 |
Correct |
4 ms |
6976 KB |
answer = YES |
28 |
Correct |
5 ms |
6976 KB |
answer = YES |
29 |
Correct |
4 ms |
6868 KB |
answer = YES |
30 |
Correct |
4 ms |
6868 KB |
answer = NO |
31 |
Correct |
4 ms |
6972 KB |
answer = YES |
32 |
Correct |
4 ms |
6980 KB |
answer = YES |
33 |
Correct |
4 ms |
6972 KB |
answer = YES |
34 |
Correct |
4 ms |
6868 KB |
answer = YES |
35 |
Correct |
4 ms |
6868 KB |
answer = YES |
36 |
Correct |
4 ms |
6868 KB |
answer = YES |
37 |
Correct |
4 ms |
6868 KB |
answer = YES |
38 |
Correct |
4 ms |
6868 KB |
answer = YES |
39 |
Correct |
5 ms |
6996 KB |
answer = YES |
40 |
Correct |
5 ms |
6996 KB |
answer = YES |
41 |
Correct |
5 ms |
6988 KB |
answer = NO |
42 |
Correct |
5 ms |
6996 KB |
answer = YES |
43 |
Correct |
5 ms |
6984 KB |
answer = YES |
44 |
Correct |
5 ms |
6996 KB |
answer = YES |
45 |
Correct |
6 ms |
6984 KB |
answer = YES |
46 |
Correct |
4 ms |
6996 KB |
answer = YES |
47 |
Correct |
5 ms |
6984 KB |
answer = YES |
48 |
Correct |
5 ms |
6996 KB |
answer = YES |
49 |
Correct |
16 ms |
8020 KB |
answer = YES |
50 |
Correct |
17 ms |
8276 KB |
answer = YES |
51 |
Correct |
16 ms |
8304 KB |
answer = YES |
52 |
Correct |
14 ms |
8268 KB |
answer = NO |
53 |
Correct |
6 ms |
7048 KB |
answer = YES |
54 |
Correct |
7 ms |
7112 KB |
answer = YES |
55 |
Correct |
10 ms |
7496 KB |
answer = YES |
56 |
Correct |
16 ms |
7928 KB |
answer = YES |
57 |
Correct |
16 ms |
7792 KB |
answer = YES |
58 |
Correct |
15 ms |
7764 KB |
answer = YES |
59 |
Correct |
15 ms |
7764 KB |
answer = YES |
60 |
Correct |
18 ms |
7880 KB |
answer = YES |
61 |
Correct |
11 ms |
7468 KB |
answer = YES |
62 |
Correct |
163 ms |
14624 KB |
answer = NO |
63 |
Correct |
153 ms |
14628 KB |
answer = YES |
64 |
Correct |
155 ms |
14616 KB |
answer = NO |
65 |
Correct |
152 ms |
14540 KB |
answer = YES |
66 |
Correct |
6 ms |
7124 KB |
answer = YES |
67 |
Correct |
134 ms |
23552 KB |
answer = YES |
68 |
Correct |
136 ms |
23416 KB |
answer = YES |
69 |
Correct |
128 ms |
23476 KB |
answer = YES |
70 |
Correct |
214 ms |
27184 KB |
answer = YES |
71 |
Correct |
134 ms |
23696 KB |
answer = YES |
72 |
Correct |
179 ms |
16588 KB |
answer = YES |
73 |
Correct |
179 ms |
16676 KB |
answer = YES |
74 |
Correct |
102 ms |
16764 KB |
answer = YES |
75 |
Correct |
77 ms |
16540 KB |
answer = NO |
76 |
Correct |
20 ms |
8204 KB |
answer = YES |
77 |
Correct |
38 ms |
9428 KB |
answer = YES |
78 |
Correct |
68 ms |
11088 KB |
answer = YES |
79 |
Correct |
147 ms |
15224 KB |
answer = YES |
80 |
Correct |
107 ms |
16740 KB |
answer = YES |
81 |
Correct |
128 ms |
19460 KB |
answer = NO |
82 |
Correct |
169 ms |
23140 KB |
answer = YES |
83 |
Correct |
184 ms |
23644 KB |
answer = YES |
84 |
Correct |
190 ms |
23608 KB |
answer = YES |
85 |
Correct |
138 ms |
23508 KB |
answer = YES |
86 |
Correct |
136 ms |
23616 KB |
answer = YES |
87 |
Correct |
142 ms |
17656 KB |
answer = NO |
88 |
Correct |
196 ms |
18712 KB |
answer = YES |
89 |
Correct |
171 ms |
15936 KB |
answer = YES |
90 |
Correct |
159 ms |
15924 KB |
answer = YES |
91 |
Correct |
179 ms |
15936 KB |
answer = YES |
92 |
Correct |
76 ms |
11988 KB |
answer = YES |
93 |
Correct |
79 ms |
11772 KB |
answer = YES |
94 |
Correct |
148 ms |
23172 KB |
answer = NO |
95 |
Correct |
124 ms |
15532 KB |
answer = NO |
96 |
Correct |
315 ms |
23872 KB |
answer = YES |
97 |
Correct |
99 ms |
23284 KB |
answer = NO |