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>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
ll MOD = 1e9 + 9;
void solve() {
ll n, d;
cin >> n >> d;
vector<ll> a(n);
for (int i = 0; i < n; i++) {
cin >> a[i];
}
sort(a.begin(), a.end());
ll r = 0, ans = 1;
for (ll l = 0; l < n; l++) {
while (r < n && a[r] - a[l] <= d) {
r++;
}
r--;
ans *= (r - l + 1);
ans %= MOD;
}
cout << ans << "\n";
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
solve();
return 0;
}
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