#include <bits/stdc++.h>
#define pb push_back
using namespace std;
typedef long long ll;
typedef vector<ll> vll;
const ll MOD = 1e9+7;
ll newton(ll a, ll b) {
ll result = 1, j = 1;
for (int i = 1; i <= a; ++i) {
result *= i;
if (j <= b && result % j == 0) {
result /= j;
j++;
}
}
for (; j <= b; ++j)
result /= j;
for (int i = 1; i <= a-b; ++i)
result /= i;
return result % MOD;
}
ll si(ll a) {
ll result = 1;
for (int i = 1; i <= a; ++i) {
result *= i;
}
return result;
}
ll solve()
{
ll n, sum = 0, even = 0, odd = 0, ones = 0, zeros = 0, twos = 0;
cin >> n;
vll v(2*n);
for (int i = 0; i < 2*n; ++i) {
cin >> v[i];
sum += v[i];
if (i % 2 == 0) even += v[i];
else odd += v[i];
if (v[i] == 1) ones++;
if (v[i] == 2) twos++;
if (v[i] == 0) zeros++;
}
if (sum == 0 || sum == 4*n) {
return newton(4*n - 2, 2*(n-1)) % MOD * ll(si(2*n)/pow(2, n)) % MOD * ll(si(2*n)/pow(2, n)) % MOD;
}
if (ones == 2*n) {
return 2 * newton(4*n - 3, 2*(n-1)) % MOD * ll(si(2*n)/pow(2, n)) % MOD * ll(si(2*n)/pow(2, n)) % MOD;
}
if ((even == n && ones == n && odd == 0) || (even == 2*n && twos == n && odd == n && ones == n)) {
return 4 * ll(si(2*n)/pow(2, n)) % MOD;
}
return 0;
}
int main()
{
ios_base::sync_with_stdio(0);
int t;
cin >> t;
while (t--) {
cout << (solve() % MOD) << endl;
}
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 | #include <bits/stdc++.h> #define pb push_back using namespace std; typedef long long ll; typedef vector<ll> vll; const ll MOD = 1e9+7; ll newton(ll a, ll b) { ll result = 1, j = 1; for (int i = 1; i <= a; ++i) { result *= i; if (j <= b && result % j == 0) { result /= j; j++; } } for (; j <= b; ++j) result /= j; for (int i = 1; i <= a-b; ++i) result /= i; return result % MOD; } ll si(ll a) { ll result = 1; for (int i = 1; i <= a; ++i) { result *= i; } return result; } ll solve() { ll n, sum = 0, even = 0, odd = 0, ones = 0, zeros = 0, twos = 0; cin >> n; vll v(2*n); for (int i = 0; i < 2*n; ++i) { cin >> v[i]; sum += v[i]; if (i % 2 == 0) even += v[i]; else odd += v[i]; if (v[i] == 1) ones++; if (v[i] == 2) twos++; if (v[i] == 0) zeros++; } if (sum == 0 || sum == 4*n) { return newton(4*n - 2, 2*(n-1)) % MOD * ll(si(2*n)/pow(2, n)) % MOD * ll(si(2*n)/pow(2, n)) % MOD; } if (ones == 2*n) { return 2 * newton(4*n - 3, 2*(n-1)) % MOD * ll(si(2*n)/pow(2, n)) % MOD * ll(si(2*n)/pow(2, n)) % MOD; } if ((even == n && ones == n && odd == 0) || (even == 2*n && twos == n && odd == n && ones == n)) { return 4 * ll(si(2*n)/pow(2, n)) % MOD; } return 0; } int main() { ios_base::sync_with_stdio(0); int t; cin >> t; while (t--) { cout << (solve() % MOD) << endl; } } |
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