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 setBit(BitSet b, int bit) {
  { if (b != null) b.set(bit); }
}

static void setBit(BitSet b, int bit, boolean value) {
  { if (b != null) b.set(bit, value); }
}

static void setBit(byte[] b, int bit, boolean value) {
  int idx = bit >> 3;
  byte mask =  (byte) (1 << (bit & 7));
  if (value)
    b[idx] |= mask;
  else
    b[idx] &= ~mask;
}}