This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define int long long
using namespace std;
const int nmax = 2e6 + 1, mod = 1e9 + 9;
int v[nmax];
int32_t main() {
ios_base::sync_with_stdio(false);
cin.tie();
cout.tie();
int n, h;
cin >> n >> h;
for(int i = 1; i <= n; i ++) {
cin >> v[i];
}
sort(v + 1, v + n + 1);
int ult = 1, ans = 1;
for(int i = 2; i <= n; i ++) {
while(v[i] - v[ult] > h) {
ult ++;
}
ans *= i - ult + 1;
ans %= mod;
}
cout << ans;
return 0;
}
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