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;
#ifdef LOCAL
#include "C:\GCC\debug.h"
#else
#define debug(...) void(42)
#endif
const int md = 1000000009;
int add(int &a, int b) {
a += b;
if (a > md) {
a -= md;
}
return a;
}
int mult(int a, int b) {
return (int) ((long long) a * b % md);
}
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
int n, d;
cin >> n >> d;
vector<int> a(n);
for (int i = 0; i < n; i++) {
cin >> a[i];
}
sort(a.begin(), a.end());
int res = 1;
int low = 0;
for (int high = 0; high < n; high++) {
while (a[low] + d < a[high]) {
++low;
}
debug(high, high, low);
res = mult(res, high - low + 1);
}
cout << res << '\n';
return 0;
}
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