#include <bits/stdc++.h>
#define fo(i,m,n) for(int i=m;i<=n;i++)
#define fod(i,n,m) for(int i=n;i>=m;i--)
#define fo1(i,m,n,k) for(int i=m;i<=n;i=i+k)
#define fod1(i,n,m,k) for(int i=n;i>=m;i=i-k)
#define fol(i,m,n) for(long long i=m;i<=n;i++)
#define fodl(i,n,m) for(long long i=n;i>=m;i--)
#define fo1l(i,m,n,k) for(long long i=m;i<=n;i=i+k)
#define fod1l(i,n,m,k) for(long long i=n;i>=m;i=i-k)
#define lb lower_bound
#define ub upper_bound
#define pii pair <int,int>
#define vii vector<pii>
#define ll long long
#define fi first
#define se second
#define si size()
#define pb push_back
#define ppb pop_back()
#define fr front()
#define et empty()
#define bg begin()
#define ub upper_bound
#define lb lower_bound
#define ed end()
#define el endl
#define EL cout << '\n';
using namespace std;
const int mod = 1e9 + 7;
const int N = 1e5 + 5;
const int M = 1e3 + 5;
ll bit[16], ktra[1 << 15][16], val[1 << 15], indx[62];
int n, m, k, sz[1 << 15];
pii p[72];
vii adj[72];
void dfs(int v, int par){
for(pii it : adj[v]){
if(it.fi == par) continue;
p[it.fi] = {v, it.se};
dfs(it.fi, v);
}
}
void solve(){
cin >> n >> m >> k;
fo(i, 0, n - 2){
int a, b;
cin >> a >> b;
--a, --b;
adj[a].pb({b, i}), adj[b].pb({a, i});
}
fo(i, 0, m - 1){
int a, b;
cin >> a >> b;
--a, --b;
dfs(a, a);
while(b != a){
bit[i] |= (1LL << (p[b].se));
b = p[b].fi;
}
}
indx[0] = 1;
fo(i, 0, n - 1) indx[i + 1] = (indx[i] * k) % mod;
ll ans = indx[n - 1];
fo(mask, 1, (1 << m) - 1){
int ind = __builtin_ctz(mask);
int pr = mask - (1 << ind);
ll edl = bit[ind], cur = edl;
val[mask] = val[pr] | edl;
fo(i, 0, sz[pr] - 1){
if(ktra[pr][i] & edl) cur |= ktra[pr][i];
else ktra[mask][sz[mask]++] = ktra[pr][i];
}
ktra[mask][sz[mask]++] = cur;
int choice = sz[mask] + (n - 1 - __builtin_popcountll(val[mask]));
int add = (__builtin_popcount(mask) & 1) ? -indx[choice] : indx[choice];
ans = (ans + add + mod) % mod;
}
cout << ans;
}
signed main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
solve();
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2384 KB |
Output is correct |
2 |
Correct |
1 ms |
2384 KB |
Output is correct |
3 |
Correct |
1 ms |
2384 KB |
Output is correct |
4 |
Correct |
2 ms |
2384 KB |
Output is correct |
5 |
Correct |
1 ms |
2384 KB |
Output is correct |
6 |
Correct |
1 ms |
2384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2384 KB |
Output is correct |
2 |
Correct |
1 ms |
2616 KB |
Output is correct |
3 |
Correct |
1 ms |
2384 KB |
Output is correct |
4 |
Correct |
1 ms |
2384 KB |
Output is correct |
5 |
Correct |
1 ms |
2384 KB |
Output is correct |
6 |
Correct |
1 ms |
2384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2384 KB |
Output is correct |
2 |
Correct |
1 ms |
2384 KB |
Output is correct |
3 |
Correct |
1 ms |
2384 KB |
Output is correct |
4 |
Correct |
1 ms |
2384 KB |
Output is correct |
5 |
Correct |
1 ms |
2384 KB |
Output is correct |
6 |
Correct |
1 ms |
2384 KB |
Output is correct |
7 |
Correct |
1 ms |
2552 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2552 KB |
Output is correct |
2 |
Correct |
1 ms |
2384 KB |
Output is correct |
3 |
Correct |
1 ms |
2384 KB |
Output is correct |
4 |
Correct |
1 ms |
2384 KB |
Output is correct |
5 |
Correct |
1 ms |
2384 KB |
Output is correct |
6 |
Correct |
1 ms |
2384 KB |
Output is correct |
7 |
Correct |
1 ms |
2384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2384 KB |
Output is correct |
2 |
Correct |
1 ms |
2384 KB |
Output is correct |
3 |
Correct |
1 ms |
2384 KB |
Output is correct |
4 |
Correct |
2 ms |
2384 KB |
Output is correct |
5 |
Correct |
1 ms |
2384 KB |
Output is correct |
6 |
Correct |
1 ms |
2384 KB |
Output is correct |
7 |
Correct |
1 ms |
2384 KB |
Output is correct |
8 |
Correct |
1 ms |
2616 KB |
Output is correct |
9 |
Correct |
1 ms |
2384 KB |
Output is correct |
10 |
Correct |
1 ms |
2384 KB |
Output is correct |
11 |
Correct |
1 ms |
2384 KB |
Output is correct |
12 |
Correct |
1 ms |
2384 KB |
Output is correct |
13 |
Correct |
1 ms |
2384 KB |
Output is correct |
14 |
Correct |
1 ms |
2384 KB |
Output is correct |
15 |
Correct |
1 ms |
2384 KB |
Output is correct |
16 |
Correct |
1 ms |
2384 KB |
Output is correct |
17 |
Correct |
1 ms |
2384 KB |
Output is correct |
18 |
Correct |
1 ms |
2384 KB |
Output is correct |
19 |
Correct |
1 ms |
2552 KB |
Output is correct |
20 |
Correct |
1 ms |
2552 KB |
Output is correct |
21 |
Correct |
1 ms |
2384 KB |
Output is correct |
22 |
Correct |
1 ms |
2384 KB |
Output is correct |
23 |
Correct |
1 ms |
2384 KB |
Output is correct |
24 |
Correct |
1 ms |
2384 KB |
Output is correct |
25 |
Correct |
1 ms |
2384 KB |
Output is correct |
26 |
Correct |
1 ms |
2384 KB |
Output is correct |
27 |
Correct |
1 ms |
4432 KB |
Output is correct |
28 |
Correct |
1 ms |
2384 KB |
Output is correct |
29 |
Correct |
1 ms |
2384 KB |
Output is correct |
30 |
Correct |
2 ms |
4688 KB |
Output is correct |
31 |
Correct |
1 ms |
2384 KB |
Output is correct |
32 |
Correct |
1 ms |
2384 KB |
Output is correct |
33 |
Correct |
1 ms |
2384 KB |
Output is correct |
34 |
Correct |
1 ms |
2384 KB |
Output is correct |
35 |
Correct |
1 ms |
2396 KB |
Output is correct |
36 |
Correct |
1 ms |
4944 KB |
Output is correct |
37 |
Correct |
1 ms |
4688 KB |
Output is correct |