#include <bits/stdc++.h>
using namespace std;
typedef long long LL;
LL MOD = 1000000007;
constexpr int NMAX = 305;
int dp[NMAX][NMAX][NMAX];
void Do (int what, int &i, int &j, int &k, int &coef) {
if (what == 1) {
if (i + k != 0)
coef = 0;
return;
}
if (what == 2) {
coef *= i;
-- i;
return;
}
if (what == 3) {
coef *= k;
++ j;
-- k;
}
}
bool Check (int i, int j, int k, int coef) {
return (i >= 0 && j >= 0 && k >= 0 && coef > 0);
}
void Precalculare (int N) {
dp[0][0][0] = 1;
for (int Total = 1; Total <= 6 * N; ++ Total )
for (int comun_ab = 0; comun_ab <= 2*N && comun_ab <= Total; ++ comun_ab)
for (int comun_bc = 0; comun_bc <= 2*N && comun_bc + comun_ab <= Total; ++ comun_bc) {
int comun_ac = Total - comun_ab - comun_bc;
if (comun_ab + comun_bc > 3 * N || comun_ab + comun_ac > 3 * N || comun_bc + comun_ac > 3 * N)
continue;
for (int op_1 = 1; op_1 <= 3; ++ op_1)
for (int op_2 = 1; op_2 <= 3; ++ op_2)
for (int op_3 = 1; op_3 <= 3; ++ op_3) {
int i = comun_ab, j = comun_bc, k = comun_ac;
if (op_1 != 2 && op_2 != 2 && op_3 != 2)
continue;
int coef = 1;
Do(op_1, i, j, k, coef);
if (!Check(i, j, k, coef)) continue;
Do(op_2, j, k, i, coef);
if (!Check(i, j, k, coef)) continue;
Do(op_3, k, i, j, coef);
if (!Check(i, j, k, coef)) continue;
dp[comun_ab][comun_bc][comun_ac] = (dp[comun_ab][comun_bc][comun_ac] + 1LL * coef * dp[i][j][k]) % MOD;
}
}
}
int N;
int fr[3][NMAX];
void Read () {
for (int i = 0; i < 3; ++ i ) {
for (int j = 1; j <= 2*N; ++ j ) {
int x;
cin >> x;
fr[i][x]++;
}
}
}
void Solve () {
int good[3];
good[0] = good[1] = good[2] = 0;
for (int i = 1; i <= 3*N; ++ i ) {
if (fr[0][i] && fr[1][i]) good[0]++;
if (fr[1][i] && fr[2][i]) good[1]++;
if (fr[2][i] && fr[0][i]) good[2]++;
fr[0][i] = fr[1][i] = fr[2][i] = 0;
}
cout << dp[good[0]][good[1]][good[2]] << '\n';
}
void do_Testcase() {
Read();
Solve();
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int T = 1;
cin >> N >> T;
Precalculare(N);
for (; T; -- T ) {
do_Testcase();
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
2 ms |
844 KB |
Output is correct |
4 |
Correct |
10 ms |
2228 KB |
Output is correct |
5 |
Correct |
156 ms |
11328 KB |
Output is correct |
6 |
Correct |
247 ms |
16012 KB |
Output is correct |
7 |
Correct |
406 ms |
21584 KB |
Output is correct |
8 |
Correct |
641 ms |
28048 KB |
Output is correct |
9 |
Correct |
1061 ms |
35216 KB |
Output is correct |
10 |
Correct |
1170 ms |
42464 KB |
Output is correct |