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 Loop(x,l,r) for (ll x = (l); x < (ll)(r); ++x)
#define LoopR(x,l,r) for (ll x = (r)-1; x >= (ll)(l); --x)
typedef long long ll;
typedef std::pair<int, int> pii;
typedef std::pair<ll , ll > pll;
using namespace std;
int main()
{
cin.tie(0) -> sync_with_stdio(false);
int n, d;
cin >> n >> d;
vector<int> a(n);
for (int &x : a)
cin >> x;
sort(a.begin(), a.end());
ll ans = 1;
const int mod = 1e9+9;
Loop (i,0,n) {
int j = lower_bound(a.begin(), a.end(), a[i]-d) - a.begin();
ans *= i-j+1;
ans %= mod;
}
cout << ans << '\n';
}
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