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;
import java.lang.invoke.VarHandle;
import java.lang.invoke.MethodHandles;
class main {

static long[] longArrayFromBytes(byte[] a) {
  return longArrayFromBytes(a, 0, l(a));
}

static long[] longArrayFromBytes(byte[] a, int from, int to) {
  long[] b = new long[(to-from)/2];
  for (int i = 0; i < b.length; i++)
    b[i] = longFromBytes_bigEndian(a, from+i*2);
  return b;
}
static int l(Object[] a) { return a == null ? 0 : a.length; }
static int l(boolean[] a) { return a == null ? 0 : a.length; }
static int l(byte[] a) { return a == null ? 0 : a.length; }
static int l(short[] a) { return a == null ? 0 : a.length; }
static int l(long[] a) { return a == null ? 0 : a.length; }
static int l(int[] a) { return a == null ? 0 : a.length; }
static int l(float[] a) { return a == null ? 0 : a.length; }
static int l(double[] a) { return a == null ? 0 : a.length; }
static int l(char[] a) { return a == null ? 0 : a.length; }
static int l(Collection c) { return c == null ? 0 : c.size(); }

static int l(Iterator i) { return iteratorCount_int_close(i); } // consumes the iterator && closes it if possible

static int l(Map m) { return m == null ? 0 : m.size(); }
static int l(CharSequence s) { return s == null ? 0 : s.length(); }
static long l(File f) { return f == null ? 0 : f.length(); }



























static long longFromBytes_bigEndian(byte[] a, int i) {
  return twoIntsToLong_bigEndian(
    intFromBytes_bigEndian(a, i),
    intFromBytes_bigEndian(a, i+4));
}




static <A> int iteratorCount_int_close(Iterator<A> i) { try {
  int n = 0;
  if (i != null) while (i.hasNext()) { i.next(); ++n; }
  if (i instanceof AutoCloseable) ((AutoCloseable) i).close();
  return n;
} catch (Exception __e) { throw rethrow(__e); } }


static long twoIntsToLong_bigEndian(int a, int b) {
  return twoIntsToLong(a, b);
}


static int intFromBytes_bigEndian(byte[] a, int i) {
  return intFromBytes(a, i);
}




static RuntimeException rethrow(Throwable t) {
  
  if (t instanceof Error)
    _handleError((Error) t);
  
  throw t instanceof RuntimeException ? (RuntimeException) t : new RuntimeException(t);
}

static RuntimeException rethrow(String msg, Throwable t) {
  throw new RuntimeException(msg, t);
}


static long twoIntsToLong(int a, int b) {
  return (((long) a) << 32) | (((long) b) & 0xFFFFFFFFL);
}


static int intFromBytes(byte[] a, int i) {
  return ubyteToInt(a[i]) << 24
    | ubyteToInt(a[i+1]) << 16
    | ubyteToInt(a[i+2]) << 8
    | ubyteToInt(a[i+3]);
}




static void _handleError(Error e) {
  //call(javax(), '_handleError, e);
}


static int ubyteToInt(byte b) {
  return b & 0x0FF;
}

static int ubyteToInt(char c) {
  return c & 0x0FF;
}



}