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 {
static final int MOD = (int)1e9 + 9;
static Kattio io = new Kattio();
public static void main(String[] args) throws IOException {
int n = io.nextInt();
int d = io.nextInt();
int[] b = new int[n];
for(int i = 0; i < n; i++) {
b[i] = io.nextInt();
}
Arrays.sort(b);
long ans = 1;
int lowerP = 0;
for(int i = 1; i < n; i++) {
while(b[lowerP] < b[i] - d) {
lowerP++;
}
ans *= (i - lowerP + 1);
ans %= MOD;
}
io.println(ans);
io.close();
}
static class Kattio extends PrintWriter {
private BufferedReader r;
private StringTokenizer st;
public Kattio() { this(System.in,System.out); }
public Kattio(InputStream i, OutputStream o) {
super(o);
r = new BufferedReader(new InputStreamReader(i));
}
public Kattio(String problemName) throws IOException {
super(new FileWriter(problemName+".out"));
r = new BufferedReader(new FileReader(problemName+".in"));
}
public String next() {
try {
while (st == null || !st.hasMoreTokens())
st = new StringTokenizer(r.readLine());
return st.nextToken();
} catch (Exception e) {}
return null;
}
public int nextInt() { return Integer.parseInt(next()); }
public double nextDouble() { return Double.parseDouble(next()); }
public long nextLong() { return Long.parseLong(next()); }
}
}
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