#include <bits/stdc++.h>
#define dbg() cerr <<
#define name(x) (#x) << ": " << (x) << ' ' <<
using namespace std;
void Read(vector<int> &v) {
for (int &x : v) cin >> x;
}
int CountPairs(const vector<int> &a, const vector<int> &b) {
int ans = 0; for (auto &x : a) for (auto &y : b) ans += x == y; return ans;
}
const int MOD = (int)1e9 + 7;
const int N = 100;
int Add(int a, int b) {
a += b;
if (a >= MOD) a -= MOD;
if (a < 0) a += MOD;
return a;
}
int Mul(int a, int b) {
return 1LL * a * b % MOD;
}
int dp[2 * N + 1][2 * N + 1][2 * N + 1][3][2];
int DP(int ab, int bc, int ca, int pos, bool discarded) {
int &curr = dp[ab][bc][ca][pos][discarded];
if (curr != -1) return curr;
if (ab == 0 && bc == 0 && ca == 0) return 1;
curr = 0;
auto Upd = [&](int val) {
curr = Add(curr, val);
};
if (pos == 0) {
if (ab > 0) {
Upd(Mul(ab, DP(ab - 1, bc, ca, 1, true)));
}
if (ca > 0) {
Upd(Mul(ca, DP(ab, 1 + bc, ca - 1, 1, false)));
}
if (ab == 0 && ca == 0) { // A passes one of his cards to B (unless A doesn't have any)
Upd(DP(ab, bc, ca, 1, false));
}
}
if (pos == 1) {
if (bc > 0) {
Upd(Mul(bc, DP(ab, bc - 1, ca, 2, true)));
}
if (ab > 0) {
Upd(Mul(ab, DP(ab - 1, bc, 1 + ca, 2, discarded)));
}
if (bc == 0 && ab == 0) {
Upd(DP(ab, bc, ca, 2, discarded));
}
}
if (pos == 2) {
if (ca > 0) {
Upd(Mul(ca, DP(ab, bc, ca - 1, 0, false)));
}
if (bc > 0 && discarded) {
Upd(Mul(bc, DP(1 + ab, bc - 1, ca, 0, false)));
}
if (ca == 0 && bc == 0 && discarded) {
Upd(DP(ab, bc, ca, 0, false));
}
}
// dbg() name(ab) name(bc) name(ca) name(pos) name(discarded) name(curr) endl;
return curr;
}
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
memset(dp, -1, sizeof(dp));
int n, t; cin >> n >> t;
while (t--) {
vector<int> a(2 * n), b(2 * n), c(2 * n);
Read(a); Read(b); Read(c);
int ab = CountPairs(a, b);
int bc = CountPairs(b, c);
int ca = CountPairs(c, a);
// dbg() name(ab) name(bc) name(ca) endl;
cout << DP(ab, bc, ca, 0, false) << '\n';
}
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
101 ms |
191232 KB |
Output is correct |
2 |
Correct |
101 ms |
191084 KB |
Output is correct |
3 |
Correct |
101 ms |
191084 KB |
Output is correct |
4 |
Correct |
102 ms |
191084 KB |
Output is correct |
5 |
Correct |
117 ms |
191032 KB |
Output is correct |
6 |
Correct |
129 ms |
191092 KB |
Output is correct |
7 |
Correct |
147 ms |
191228 KB |
Output is correct |
8 |
Correct |
172 ms |
191104 KB |
Output is correct |
9 |
Correct |
200 ms |
191084 KB |
Output is correct |
10 |
Correct |
232 ms |
191100 KB |
Output is correct |