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.*;
// you still need to implement next()
class main {
static abstract class InfiniteItIt extends IterableIterator implements InfiniteIterator {}
interface InfiniteIterator extends Iterator, Infinite {
default boolean hasNext() { return true; }
}
// you still need to implement hasNext() and next()
static abstract class IterableIterator implements Iterator, Iterable {
public Iterator iterator() {
return this;
}
public void remove() {
unsupportedOperation();
}
}
static interface Infinite {}
static Iterator iterator(Iterable c) {
return c == null ? emptyIterator() : c.iterator();
}
static UnsupportedOperationException unsupportedOperation() {
throw new UnsupportedOperationException();
}
static Iterator emptyIterator() {
return Collections.emptyIterator();
}
}