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 java.util.function.*;
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 java.awt.geom.*;
import javax.imageio.*;
import java.math.*;
import java.time.Duration;
class main {

static int reverseBits(int i) { return reverseBits(i, 32); }
static int reverseBits(int i, int bits) {
  int j = 0;
  for (int _repeat_0 = 0; _repeat_0 < bits; _repeat_0++)  {
    j = (j << 1) | (i & 1);
    i >>>= 1;
  }
  return j;
}}