import java.util.*;
import java.util.zip.*;
import java.util.List;
import java.util.regex.*;
import java.util.concurrent.*;
import java.util.concurrent.atomic.*;
import java.util.concurrent.locks.*;
import javax.swing.*;
import javax.swing.event.*;
import javax.swing.text.*;
import javax.swing.table.*;
import java.io.*;
import java.net.*;
import java.lang.reflect.*;
import java.lang.ref.*;
import java.lang.management.*;
import java.security.*;
import java.security.spec.*;
import java.awt.*;
import java.awt.event.*;
import java.awt.image.*;
import javax.imageio.*;
import java.math.*;
class main {

static void setBitInIntArray_littleEndian(int[] array, int iBit) {
  int iInt = iBit >> 8;
  array[iInt] |= 1 << (iBit & 31);
}

static void setBitInIntArray_littleEndian(int[] array, int iBit, boolean value) {
  int iInt = iBit >> 8;
  if (value)
    array[iInt] |= 1 << (iBit & 31);
  else
    array[iInt] &= ~(1 << (iBit & 31));
}}