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;
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef pair<ll, ll> pll;
typedef pair<ld, ld> pld;
#define MOD ((ll) 1e9 + 9)
int main() {
ios_base::sync_with_stdio(false);
cout.tie(nullptr);
cin.tie(nullptr);
ll n, d;
cin >> n >> d;
vector<ll> arr(n);
for (auto &ref: arr) cin >> ref;
std::sort(arr.begin(), arr.end());
ll ans = 1;
for (int i = 1; i < n; i++) {
ll curr_width = arr[i];
ll start = 0;
ll end = i;
while (start < end) {
ll mid = start + (end - start) / 2;
if (arr[mid] + d < curr_width)
start = mid + 1;
else
end = mid;
}
ans = ans * ((1 + i - start) % MOD);
ans %= MOD;
}
cout << ans;
}
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