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 <iostream>
#include <vector>
#include <algorithm>
using namespace std;
using ll = long long;
const int mod = 1e9 + 9;
vector <ll> dp, nums;
int n, d;
ll solve(int i) {
if (i == 0)
return 1;
if (dp[i] != -1)
return dp[i];
ll ans = solve(i-1);
for (int j = i-1, x = 1; j > 0; j--, x++) {
if (j > 0 && nums[j] + d < nums[i])
break;
ans += solve(j) * x;
ans %= mod;
}
dp[i] = ans;
return ans;
}
int main() {
cin >> n >> d;
dp.resize(n+1, -1);
nums.resize(n+1);
for (int i = 1; i <= n; i++)
cin >> nums[i];
sort(nums.begin(), nums.end());
cout << solve(n) << '\n';
}
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