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.*;
class main {

static int ubyteFromBits(boolean b7, boolean b6, boolean b5, boolean b4, boolean b3, boolean b2, boolean b1, boolean b0) {
  return (b7 ? 1 : 0) << 7
    | (b6 ? 1 : 0) << 6
    | (b5 ? 1 : 0) << 5
    | (b4 ? 1 : 0) << 4
    | (b3 ? 1 : 0) << 3
    | (b2 ? 1 : 0) << 2
    | (b1 ? 1 : 0) << 1
    | (b0 ? 1 : 0);
}}