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 <iostream>
#include<algorithm>
#include <vector>
using namespace std;
typedef long long ll;
int main() {
#ifdef LOCAL
freopen("IO/input.txt", "r", stdin);
#endif
ll n,d; cin >> n >> d;
vector<ll> V(n);
for(auto& x: V) {
cin >> x;
}
sort(V.begin(), V.end());
ll ans = 1;
//btwn 7 and 7-d inclusive
auto lt = V.begin();
for(auto rt = V.begin(); rt != V.end(); ++rt) {
while((*rt - *lt)>d) {
++lt;
}
ans *= ((rt-lt)+1);
ans %= (1000000009);
}
cout << ans;
}
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