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>
#include <string>
#include <map>
#include <set>
#include <climits>
#include <cmath>
#include <fstream>
#include <queue>
using namespace std;
#define MOD 1000000009
int main() {
int n, d;
cin >> n >> d;
vector<long long> nums;
//map<long long, long long> indexes;
for (int i = 0; i < n; i++) {
int temp;
cin >> temp;
nums.push_back(temp);
}
sort(nums.begin(), nums.end());
long long dp = 1;
//set<long long> curNums;
//set<long long>::iterator it;
vector<long long>::iterator it1;
//curNums.insert(nums[0]);
//indexes[nums[0]] = 0;
int lol = 0;
for (int i = 1; i < n; i++) {
it1 = lower_bound(nums.begin(), nums.begin() + i, nums[i] - d);
if (it1 == nums.end()) {
lol++;
}
else {
dp = (dp * (i - (it1 - nums.begin()) + 1)) % MOD;
}
}
cout << dp << endl;
}
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