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 X first
#define Y second
#define pb push_back
#define pii pair<int, int>
typedef long long ll;
using namespace std;
const int MOD = 1e9 + 9;
const ll INF = 1e18;
const int OFF = (1 << 20);
int n, d, a;
vector<int> v;
int mul(int x, int y) {
return (ll)x * (ll)y % MOD;
}
int main () {
ios_base::sync_with_stdio(false);
cin.tie(0);
cin >> n >> d;
for (int i = 0; i < n; i++) {
cin >> a;
v.push_back(a);
}
sort(v.begin(), v.end());
int sol = 1;
int p = 0;
for (int i = 1; i < n; i++) {
while (v[p]+d < v[i]) p++;
sol = mul(sol, i-p+1);
}
cout << sol;
return 0;
}
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