#include <bits/stdc++.h>
using namespace std;
#define int long long
#define fi first
#define se second
#define pb pushback
mt19937 rng((int)chrono::steady_clock::now().time_since_epoch().count());
int hashp = uniform_int_distribution<int>(10, 1e9)(rng);
int hashm1 = 1e9+7;
int hashm2 = 1e9+9;
int MOD = 1e9+7;
int MV = 1e18;
void solve(){
int n, d;
cin >> n >> d;
int res = 1;
vector<int> a(n), p(n+1, 1);
for(int i = 0; i < n; i++) cin >> a[i];
sort(a.begin(), a.end(), greater<>());
for(int i = 1; i <= n; i++){
p[i] = p[i-1]*i;
p[i] %= MOD;
}
for(int i = 0; i < n; i++){
int j = i;
while(j+1 < n && a[j+1]+d >= a[i]){
j++;
}
res *= p[j-i+1];
if(i != j) i = j-1;
}
cout << res;
}
signed main(){
ios::sync_with_stdio(false);
cin.tie(nullptr);
solve();
return 0;
}
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