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 ll = long long;
using vb = vector<bool>;
using vvb = vector<vb>;
using vi = vector<int>;
using vvi = vector<vi>;
using vl = vector<ll>;
using vvl = vector<vl>;
using vc = vector<char>;
using vvc = vector<vc>;
using vs = vector<string>;
const ll mod = 1e9 + 9,inf = 1e18;
#define pb push_back
#define fast ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
void setIO()
{
fast;
}
int main()
{
setIO();
int n,d;
cin>>n>>d;
vi a(n);
for (int i = 0;i<n;i++)cin>>a[i];
sort(a.begin(),a.end());
ll ans = 1;
int pos = 0;
for (int i = 0;i<n;i++){
while (a[pos] < a[i] - d)pos++;
ans = (ans * (1ll * (i - pos + 1)))%mod;
if (ans < 0)ans += mod;
}
cout<<ans;
return 0;
}
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