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 <A, B> TreeMap<A, B> asTreeMap(Map<A, B> map) { return asTreeMap(map, null); }
static <A, B> TreeMap<A, B> asTreeMap(Map<A, B> map, Comparator<A> comparator) {
  if (map instanceof TreeMap && eq(((TreeMap) map).comparator(), comparator))
    return ((TreeMap) map);
  var m2 = new TreeMap(comparator);
  m2.putAll(map);
  return m2;
}

static <A, B> TreeMap<A, B> asTreeMap(Comparator<A> comparator, Map<A, B> map) {
  return asTreeMap(map, comparator);
}
static boolean eq(Object a, Object b) {
  return a == b || a != null && b != null && a.equals(b);
}






static String str(Object o) {
  return o == null ? "null" : o.toString();
}

static String str(char[] c) {
  return c == null ? "null" : new String(c);
}

static String str(char[] c, int offset, int count) {
  return new String(c, offset, count);
}



}