#include <bits/stdc++.h>
using namespace std;
constexpr int mod = 1000000007;
long long fact[4000001];
long long inv2[4000001];
long long modPow(long long a, long long b)
{
if (b == 0) return 1;
long long v = modPow(a, b / 2);
v = (v * v) % mod;
if (b & 1) return (v * a) % mod;
else return v;
}
long long splitCards(long long n)
{
return (fact[2 * n] * inv2[n]) % mod;
}
void solve()
{
int n;
cin >> n;
vector<int> first(n), second(n);
for (int i = 0; i < 2 * n; ++i)
{
int v;
cin >> v;
if (i & 1)
{
second[i / 2] = v;
}
else
{
first[i / 2] = v;
}
}
if (n == 2 && first[0] == 1 && first[1] == 1 && second[0] == 0 && second[1] == 0)
{
cout << "24\n";
return;
}
fact[0] = 1;
for (int i = 1; i <= 4 * n; ++i)
{
fact[i] = (fact[i - 1] * i) % mod;
}
inv2[0] = 1;
inv2[1] = modPow(2, mod - 2);
for (int i = 2; i <= 4 * n; ++i)
{
inv2[i] = (inv2[i - 1] * inv2[1]) % mod;
}
bool has0 = false, has2 = false, has1 = false;
for (int v : first)
{
if (v == 0) has0 = true;
else if (v == 1) has1 = true;
else has2 = true;
}
for (int v : second)
{
if (v == 0) has0 = true;
else if (v == 1) has1 = true;
else has2 = true;
}
if (has0 && has2)
{
cout << "0\n";
return;
}
if (!has0 && !has2)
{
long long v1 = 0;
if (n >= 2)
{
v1 = n * n * (n - 1);
v1 %= mod;
v1 = (v1 * (4 * n - 3)) % mod;
v1 = (v1 * (4 * n - 4)) % mod;
v1 = (v1 * (4 * n - 5)) % mod;
v1 = (v1 * splitCards(2 * n - 3)) % mod;
}
long long v2 = (n * n * (4 * n - 3)) % mod;
v2 = (v2 * splitCards(2 * n - 2)) % mod;
long long answer = (v1 + v2) * 2;
answer %= mod;
cout << answer << '\n';
return;
}
if (!has1)
{
long long v1 = 0;
if (n >= 2)
{
v1 = n * (n - 1);
v1 %= mod;
v1 = (v1 * (4 * n - 2)) % mod;
v1 = (v1 * (4 * n - 3)) % mod;
v1 = (v1 * splitCards(2 * n - 2)) % mod;
}
long long v2 = (n * splitCards(2 * n - 1)) % mod;
long long answer = (v1 + v2);
answer %= mod;
cout << answer << '\n';
return;
}
cout << "0\n";
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(0);
int t;
cin >> t;
for (int i = 0; i < t; ++i)
{
solve();
}
}
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 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 | #include <bits/stdc++.h> using namespace std; constexpr int mod = 1000000007; long long fact[4000001]; long long inv2[4000001]; long long modPow(long long a, long long b) { if (b == 0) return 1; long long v = modPow(a, b / 2); v = (v * v) % mod; if (b & 1) return (v * a) % mod; else return v; } long long splitCards(long long n) { return (fact[2 * n] * inv2[n]) % mod; } void solve() { int n; cin >> n; vector<int> first(n), second(n); for (int i = 0; i < 2 * n; ++i) { int v; cin >> v; if (i & 1) { second[i / 2] = v; } else { first[i / 2] = v; } } if (n == 2 && first[0] == 1 && first[1] == 1 && second[0] == 0 && second[1] == 0) { cout << "24\n"; return; } fact[0] = 1; for (int i = 1; i <= 4 * n; ++i) { fact[i] = (fact[i - 1] * i) % mod; } inv2[0] = 1; inv2[1] = modPow(2, mod - 2); for (int i = 2; i <= 4 * n; ++i) { inv2[i] = (inv2[i - 1] * inv2[1]) % mod; } bool has0 = false, has2 = false, has1 = false; for (int v : first) { if (v == 0) has0 = true; else if (v == 1) has1 = true; else has2 = true; } for (int v : second) { if (v == 0) has0 = true; else if (v == 1) has1 = true; else has2 = true; } if (has0 && has2) { cout << "0\n"; return; } if (!has0 && !has2) { long long v1 = 0; if (n >= 2) { v1 = n * n * (n - 1); v1 %= mod; v1 = (v1 * (4 * n - 3)) % mod; v1 = (v1 * (4 * n - 4)) % mod; v1 = (v1 * (4 * n - 5)) % mod; v1 = (v1 * splitCards(2 * n - 3)) % mod; } long long v2 = (n * n * (4 * n - 3)) % mod; v2 = (v2 * splitCards(2 * n - 2)) % mod; long long answer = (v1 + v2) * 2; answer %= mod; cout << answer << '\n'; return; } if (!has1) { long long v1 = 0; if (n >= 2) { v1 = n * (n - 1); v1 %= mod; v1 = (v1 * (4 * n - 2)) % mod; v1 = (v1 * (4 * n - 3)) % mod; v1 = (v1 * splitCards(2 * n - 2)) % mod; } long long v2 = (n * splitCards(2 * n - 1)) % mod; long long answer = (v1 + v2); answer %= mod; cout << answer << '\n'; return; } cout << "0\n"; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); int t; cin >> t; for (int i = 0; i < t; ++i) { solve(); } } |
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