#include <bits/stdc++.h>
using namespace std;
const int maxn = 65, P = 1000000007;
int n, m, K, u[maxn], v[maxn], fa[maxn], dep[maxn], bel[maxn];
vector<int> G[maxn];
int qp(int x, int y) {
int z = 1;
for (; y; y >>= 1, x = 1LL * x * x % P) {
if (y & 1) z = 1LL * z * x % P;
}
return z;
}
int find(int x) {
return x == bel[x] ? x : bel[x] = find(bel[x]);
}
int main() {
scanf("%d %d %d", &n, &m, &K);
for (int i = 1, u, v; i < n; i++) {
scanf("%d %d", &u, &v);
G[u].push_back(v), G[v].push_back(u);
}
for (int i = 0; i < m; i++) {
scanf("%d %d", &u[i], &v[i]);
}
auto dfs = [&](auto self, int u) -> void {
dep[u] = dep[fa[u]] + 1;
for (int v : G[u]) if (v ^ fa[u]) {
fa[v] = u, self(self, v);
}
};
dfs(dfs, 1);
int ans = 0;
for (int S = 0; S < 1 << m; S++) {
iota(bel + 2, bel + n + 1, 2);
for (int i = 0; i < m; i++) if (S >> i & 1) {
int x = u[i], y = v[i], o = 0;
while (x ^ y) {
if (dep[x] < dep[y]) swap(x, y);
if (o) bel[find(o)] = find(x);
o = x, x = fa[x];
}
}
int cnt = 0;
for (int i = 2; i <= n; i++) {
if (i == find(i)) cnt++;
}
ans = (ans + 1LL * qp(K, cnt) * (__builtin_parity(S) ? P - 1 : 1)) % P;
}
printf("%d\n", ans);
return 0;
}
Compilation message
Main.cpp: In function 'int main()':
Main.cpp:21:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
21 | scanf("%d %d %d", &n, &m, &K);
| ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
Main.cpp:23:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
23 | scanf("%d %d", &u, &v);
| ~~~~~^~~~~~~~~~~~~~~~~
Main.cpp:27:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
27 | scanf("%d %d", &u[i], &v[i]);
| ~~~~~^~~~~~~~~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
304 KB |
Output is correct |
4 |
Correct |
1 ms |
308 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
2 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
304 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
308 KB |
Output is correct |
5 |
Correct |
3 ms |
256 KB |
Output is correct |
6 |
Correct |
3 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
304 KB |
Output is correct |
10 |
Correct |
1 ms |
308 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
2 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
304 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
308 KB |
Output is correct |
24 |
Correct |
3 ms |
256 KB |
Output is correct |
25 |
Correct |
3 ms |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
10 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
300 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
11 ms |
212 KB |
Output is correct |
31 |
Correct |
3 ms |
296 KB |
Output is correct |
32 |
Correct |
2 ms |
212 KB |
Output is correct |
33 |
Correct |
1 ms |
212 KB |
Output is correct |
34 |
Correct |
2 ms |
212 KB |
Output is correct |
35 |
Correct |
5 ms |
308 KB |
Output is correct |
36 |
Correct |
25 ms |
332 KB |
Output is correct |
37 |
Correct |
11 ms |
212 KB |
Output is correct |