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 static x30_pkg.x30_util.DynamicObject;
import java.awt.geom.*;
class main {
static void test_scrambleAndUnscrambleInt() {
for (int _repeat_0 = 0; _repeat_0 < 1000000; _repeat_0++) {
int x = randomInt();
assertEquals(x, unscrambleInt(scrambleInt(x)));
}
}
static int randomInt() { return randomInt(null); }
static int randomInt(Random random) {
return getRandomizer(random).nextInt();
}
// return value between 0 and n-1
static int randomInt(int n) { return randomInt(null, n); }
static int randomInt(Random random, int n) {
return random(random, n);
}
static A assertEquals(Object x, A y) {
return assertEquals("", x, y);
}
static A assertEquals(String msg, Object x, A y) {
if (assertVerbose()) return assertEqualsVerbose(msg, x, y);
if (!(x == null ? y == null : x.equals(y)))
throw fail((msg != null ? msg + ": " : "") + y + " != " + x);
return y;
}
// from https://stackoverflow.com/questions/664014/what-integer-hash-function-are-good-that-accepts-an-integer-hash-key
// reverse of scrambleInt
static int unscrambleInt(int x) {
x = ((x >>> 16) ^ x) * 0x119de1f3;
x = ((x >>> 16) ^ x) * 0x119de1f3;
x = (x >>> 16) ^ x;
return x;
}
// from https://stackoverflow.com/questions/664014/what-integer-hash-function-are-good-that-accepts-an-integer-hash-key
// reversed by: unscrambleInt
static int scrambleInt(int x) {
x = ((x >>> 16) ^ x) * 0x45d9f3b;
x = ((x >>> 16) ^ x) * 0x45d9f3b;
x = (x >>> 16) ^ x;
return x;
}
static Random getRandomizer(Random r) {
return r != null ? r : defaultRandomGenerator();
}
static int random(int n) { return random(n, defaultRandomGenerator()); }
static int random(int n, Random r) {
return random(r, n);
}
static int random(Random r, int n) {
return n <= 0 ? 0 : getRandomizer(r).nextInt(n);
}
static double random(double max) {
return random()*max;
}
static double random() {
return defaultRandomGenerator().nextInt(100001)/100000.0;
}
static double random(double min, double max) {
return min+random()*(max-min);
}
// min <= value < max
static int random(int min, int max) {
return min+random(max-min);
}
static int random(int min, int max, Random r) {
return random(r, min, max);
}
static int random(Random r, int min, int max) {
return min+random(r, max-min);
}
static A random(List l) {
return oneOf(l);
}
static A random(Collection c) {
if (c instanceof List) return random((List) c);
int i = random(l(c));
return collectionGet(c, i);
}
static Pair random(Map map) {
return entryToPair(random(entries(map)));
}
static ThreadLocal assertVerbose_value = new ThreadLocal();
static void assertVerbose(boolean b) {
assertVerbose_value.set(b);
}
static boolean assertVerbose() { return isTrue(assertVerbose_value.get()); }
static A assertEqualsVerbose(Object x, A y) {
assertEqualsVerbose((String) null, x, y);
return y;
}
// x = expected, y = actual
static A assertEqualsVerbose(String msg, Object x, A y) {
if (!eq(x, y)) {
throw fail((nempty(msg) ? msg + ": " : "") + "expected: "+ x + ", got: " + y);
} else
print("OK" + (empty(msg) ? "" : " " + msg) + ": " + /*sfu*/(x));
return y;
}
static RuntimeException fail() { throw new RuntimeException("fail"); }
static RuntimeException fail(Throwable e) { throw asRuntimeException(e); }
static RuntimeException fail(Object msg) { throw new RuntimeException(String.valueOf(msg)); }
static RuntimeException fail(Object... objects) { throw new Fail(objects); }
static RuntimeException fail(String msg) { throw new RuntimeException(msg == null ? "" : msg); }
static RuntimeException fail(String msg, Throwable innerException) { throw new RuntimeException(msg, innerException); }
static boolean eq(Object a, Object b) {
return a == b || a != null && b != null && a.equals(b);
}
// a little kludge for stuff like eq(symbol, "$X")
static boolean eq(Symbol a, String b) {
return eq(str(a), b);
}
static String nullIfEmpty(String s) {
return isEmpty(s) ? null : s;
}
static Map nullIfEmpty(Map map) {
return isEmpty(map) ? null : map;
}
static List nullIfEmpty(List l) {
return isEmpty(l) ? null : l;
}
static Random defaultRandomGenerator() {
{ Random r = customRandomizerForThisThread(); if (r != null) return r; }
return ThreadLocalRandom.current();
}
static A oneOf(List l) {
if (empty(l)) return null;
int n = l.size();
return n == 1 ? first(l) : l.get(defaultRandomizer().nextInt(n));
}
static char oneOf(String s) {
return empty(s) ? '?' : s.charAt(random(l(s)));
}
static String oneOf(String... l) {
return oneOf(asList(l));
}
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 int l(IMultiMap mm) { return mm == null ? 0 : mm.size(); }
static A collectionGet(Collection c, int idx) {
if (c == null || idx < 0 || idx >= l(c)) return null;
if (c instanceof List) return listGet((List) c, idx);
Iterator it = c.iterator();
for (int i = 0; i < idx; i++) if (it.hasNext()) it.next(); else return null;
return it.hasNext() ? it.next() : null;
}
static Pair entryToPair(Map.Entry e) {
return mapEntryToPair(e);
}
static Set> entries(Map map) {
return _entrySet(map);
}
static boolean isTrue(Object o) {
if (o instanceof Boolean)
return ((Boolean) o).booleanValue();
if (o == null) return false;
if (o instanceof ThreadLocal) // TODO: remove this
return isTrue(((ThreadLocal) o).get());
throw fail(getClassName(o));
}
static boolean isTrue(Boolean b) {
return b != null && b.booleanValue();
}
static boolean nempty(Collection c) {
return !empty(c);
}
static boolean nempty(CharSequence s) {
return !empty(s);
}
static boolean nempty(Object[] o) { return !empty(o); }
static boolean nempty(byte[] o) { return !empty(o); }
static boolean nempty(int[] o) { return !empty(o); }
static boolean nempty(BitSet bs) { return !empty(bs); }
static boolean nempty(Map m) {
return !empty(m);
}
static boolean nempty(Iterator i) {
return i != null && i.hasNext();
}
static boolean nempty(IMultiMap mm) { return mm != null && mm.size() != 0; }
static boolean nempty(Object o) { return !empty(o); }
static boolean nempty(Rect r) { return r != null && r.w != 0 && r.h != 0; }
static volatile StringBuffer local_log = new StringBuffer(); // not redirected
static boolean printAlsoToSystemOut = true;
static volatile Appendable print_log = local_log; // might be redirected, e.g. to main bot
// in bytes - will cut to half that
static volatile int print_log_max = 1024*1024;
static volatile int local_log_max = 100*1024;
static boolean print_silent = false; // total mute if set
static Object print_byThread_lock = new Object();
static volatile ThreadLocal