#include #include #include #include #include #include #include #include #include #include #include #define mk make_pair #define pb push_back #define printf printf_s #define scanf scanf_s using namespace std; typedef long long int ll; typedef pair pos; const ll MOD = 1000000007, N = 20010, dx[4] = { -1,1,0,0 }, dy[4] = { 0,0,-1,1 }, MIN = -72340172838076673, MAX = 72340172838076673; ll mn(ll a, ll b) { if (a == -1)return b; if (b == -1)return a; return min(a, b); } ll gcd(ll v1, ll v2) { if (v1 == 0)return v2; if (v2 == 0)return v1; if (v2 > v1)return gcd(v2%v1, v1); return gcd(v1%v2, v2); } ll pw(ll v1, ll v2) { ll v3 = 1; while (v2 > 0) { if (v2 % 2)v3 = (v3*v1) % MOD; v1 = (v1*v1) % MOD; v2 /= 2; } return v3; } struct ab { ll a, b; bool operator<(const ab& right) const { return right.b*a - right.a*b < 0; } }; ll n,k,a[N],mi,ans=1,ft[N],rv[N]; int main() { cin >> n >> k; ft[0] = 1; rv[0] = 1; for (int i = 1; i < N; i++) { ft[i] = (ft[i - 1] * i) % MOD; rv[i] = pw(ft[i], MOD - 2); } for (int i = 1; i <= n; i++)cin >> a[i]; sort(a, a + n); mi = upper_bound(a + 1, a + n + 1, k / 2) - a; if (n - mi + 1 > mi-1) { cout << 0 << endl; } else { for (int i = n,i2=0; i >=mi; i--,i2++) { ll v1 = upper_bound(a + 1, a + n + 1, k - a[i]) - a - 1; if (v1 <= i2)ans = 0; else ans *= (v1 - i2); ans %= MOD; } ll vv = 2 * mi - n - 2; ans *= rv[vv / 2]; ans %= MOD; for (int i = 2; i <= vv; i += 2) { ll v1 = (ft[i] * rv[2]) % MOD; v1 = (v1* rv[i - 2]) % MOD; ans = (ans*v1) % MOD; } cout << ans << endl; } return 0; }