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;
using i64 = long long;
#define int i64
#define vi vector<int>
#define vvi vector<vi>
#define vb vector<bool>
#define pii pair<int, int>
#define fi first
#define se second
#define sz(x) (int)(x).size()
const int MOD = 1e9 + 9;
inline void solve(){
int n, d, ans = 1;
cin >> n >> d;
vi a(n);
for(int &i : a){
cin >> i;
}
sort(a.begin(), a.end());
for(int le = 0, ri = 0; le < n; le++){
while(ri < n - 1 && a[ri + 1] - a[le] <= d) ri++;
ans = (ans * (ri - le + 1)) % MOD;
}
cout << ans << "\n";
return;
}
signed main(){
ios_base::sync_with_stdio(false); cin.tie(0);
int t = 1;
//cin >> t;
while(t--){
solve();
}
return 0;
}
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