This documentation is automatically generated by online-judge-tools/verification-helper
// #define PROBLEM "https://contest.ucup.ac/contest/1893/problem/9735"
#define PROBLEM "https://onlinejudge.u-aizu.ac.jp/courses/lesson/2/ITP1/1/ITP1_1_A"
/*
* The 3rd Universal Cup. Stage 25: Hangzhou J. Japanese Bands
* https://contest.ucup.ac/submission/1387025
*/
#include "../../Src/Sequence/BitwiseOrConvolution.hpp"
#include "atcoder/modint"
using mint = atcoder::modint1000000007;
#include <iostream>
#include <vector>
#include <bit>
#include <algorithm>
using namespace std;
mint comb(int n, int r) {
if (n < r)
return 0;
if (r < 0)
return 0;
r = min(r, n - r);
mint num = 1, den = 1;
for (int i = 0 ; i < r ; i++) {
num *= mint{n - i};
den *= mint{i + 1};
}
return num / den;
}
void solve() {
int N1, N2, M, K;
cin >> N1 >> N2 >> M >> K;
vector<int> A(K), B(K);
int mask = 0;
for (int i = 0 ; i < K ; i++) {
cin >> A[i] >> B[i];
A[i]--;
B[i]--;
mask |= 1 << A[i];
mask |= 1 << B[i];
}
vector<mint> p(1 << M), q(1 << M);
for (int b = 0 ; b < (1 << M) ; b++) {
bool ok = 1;
for (int i = 0 ; i < K ; i++) {
if (b & (1 << A[i]))
continue;
if (b & (1 << B[i]))
continue;
ok = 0;
break;
}
if (ok) {
int cnt = popcount(unsigned(b));
assert(cnt > 0);
p[b] = comb(N1 - 1, N1 - cnt);
q[b] = comb(N2 - 1, N2 - cnt);
}
}
auto conv = zawa::BitwiseOrConvolution(p, q);
mint ans = 0;
for (int b = 0 ; b < (1 << M) ; b++)
if ((mask & b) == mask)
ans += conv[b];
cout << ans.val() << '\n';
}
int main() {
#ifdef ONLINE_JUDGE
cin.tie(0);
cout.tie(0);
ios::sync_with_stdio(0);
int T;
cin >> T;
while (T--)
solve();
#else
cout << "Hello World\n";
#endif
}
Traceback (most recent call last):
File "/opt/hostedtoolcache/Python/3.13.7/x64/lib/python3.13/site-packages/onlinejudge_verify/documentation/build.py", line 71, in _render_source_code_stat
bundled_code = language.bundle(stat.path, basedir=basedir, options={'include_paths': [basedir]}).decode()
~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/opt/hostedtoolcache/Python/3.13.7/x64/lib/python3.13/site-packages/onlinejudge_verify/languages/cplusplus.py", line 187, in bundle
bundler.update(path)
~~~~~~~~~~~~~~^^^^^^
File "/opt/hostedtoolcache/Python/3.13.7/x64/lib/python3.13/site-packages/onlinejudge_verify/languages/cplusplus_bundle.py", line 401, in update
self.update(self._resolve(pathlib.Path(included), included_from=path))
~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/opt/hostedtoolcache/Python/3.13.7/x64/lib/python3.13/site-packages/onlinejudge_verify/languages/cplusplus_bundle.py", line 260, in _resolve
raise BundleErrorAt(path, -1, "no such header")
onlinejudge_verify.languages.cplusplus_bundle.BundleErrorAt: atcoder/modint: line -1: no such header