This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
import java.util.*;
import java.io.*;
public class tower {
public static void main(String[] args) throws IOException {
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
StringTokenizer str = new StringTokenizer(br.readLine());
int N = Integer.parseInt(str.nextToken());
int D = Integer.parseInt(str.nextToken());
int M = 1_000_000_009;
int[] blocks = new int[N];
str = new StringTokenizer(br.readLine());
for (int i = 0; i < N; i++)
blocks[i] = Integer.parseInt(str.nextToken());
br.close();
Arrays.sort(blocks);
long[] towers = new long[N];
towers[0] = 1;
int p = 0; // previous
for (int i = 0; i < N; i++) {
while (p < i)
if (blocks[p] + D < blocks[i])
p++;
// # of blocks <= i that can't stack on i
if (i > 0)
towers[i] = (((i-p+1)) * towers[i - 1]) % M;
}
System.out.println(towers[N - 1] % M);
}
}
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