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 forr(_a,_b,_c) for(_a = (_b); _a <= (_c); ++_a)
#define ford(_a,_b,_c) for(_a = (_b) + 1; _a --> (_c);)
#define forf(_a,_b,_c) for(_a = (_b); _a < (_c); ++_a)
#define st first
#define nd second
#define ll long long
#define ull unsigned long long
#define pii pair <int,int>
#define pll pair <ll,ll>
#define piii pair <int,pii>
#define vi vector <int>
#define pb push_back
#define mp make_pair
#define all(x) begin(x),end(x)
#define file "test"
using namespace std;
const int N = 2e6 + 5;
const ll oo = 1e9;
const ll mod = 1e9 + 9;
ll n, i, a[N], d, ans = 1;
int main(){
ios_base::sync_with_stdio(0); cin.tie(0);
#ifdef hqm
freopen(file".inp", "r", stdin); freopen(file".out", "w", stdout);
#endif
cin >> n >> d;
forr (i, 1, n)
cin >> a[i];
sort(a + 1, a + 1 + n, greater<int>());
ll r = 1;
a[n + 1] = -2 * oo - 1;
forr (i, 1, n){
r = max (r, i);
while (a[i] - a[r + 1] <= d)
r++;
ans = (ans * (r - i + 1)) % mod;
// cout << a[i] << " " << r << "\n";
}
cout << ans;
return 0;
}
/*
*/
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