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 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 javax.imageio.*;
import java.math.*;
// threshold 0.75 + Cubed distance from black 3.0 + blur + min 3",
import java.awt.geom.*;

class main {

static BWImage chessOCR_piecePreprocessing_1(BufferedImage img, Object... __) {
  int version = optPar("version",__,  1);
  BWImage bw = bwImageTo2Bit(0.75f,
    img_cubedDistanceFromColor_withGain(rgbBlack(), 3.0,
      blurFilterBufferedImage(
        minFilterBufferedImage(3,
          img))));
  if (version == 1) bw = bwAutoCrop(bw);
  return bw;
}
static <A> A optPar(ThreadLocal<A> tl, A defaultValue) {
  A a = tl.get();
  if (a != null) {
    tl.set(null);
    return a;
  }
  return defaultValue;
}

static <A> A optPar(ThreadLocal<A> tl) {
  return optPar(tl, null);
}

static Object optPar(Object[] params, String name) {
  return optParam(params, name);
}

static Object optPar(String name, Object[] params) {
  return optParam(params, name);
}

static Object optPar(String name, Map params) {
  return optParam(name, params);
}

static <A> A optPar(Object[] params, String name, A defaultValue) {
  return optParam(params, name, defaultValue);
}

static <A> A optPar(String name, Object[] params, A defaultValue) {
  return optParam(params, name, defaultValue);
}
static BWImage bwImageTo2Bit(BWImage img, float threshold) {
  int w = img.w(), h = img.h();
  BWImage img2 = new BWImage(w, h);
  for (int y = 0; y < h; y++) for (int x = 0; x < w; x++)
    img2.setPixel(x, y, img.getPixel(x, y) >= threshold ? 1f : 0f);
  return img2;
}

static BWImage bwImageTo2Bit(BWImage img) {
  return bwImageTo2Bit(0.5f, img);
}

static BWImage bwImageTo2Bit(float threshold, BWImage img) {
  return bwImageTo2Bit(img, threshold);
}
static BWImage img_cubedDistanceFromColor_withGain(RGBImage img, RGB color, double gain) {
  int w = img.getWidth(), h = img.getHeight();
  int col = color.getInt();
  BWImage bw = new BWImage(w, h);
  for (int y = 0; y < h; y++)
    for (int x = 0; x < w; x++)
      bw.setPixel(x, y, pow(rgbDiff(img.getInt(x, y), col)*(float) gain, 3));
  return bw;
}

static BWImage img_cubedDistanceFromColor_withGain(BufferedImage img, RGB color, double gain) {
  return img_cubedDistanceFromColor_withGain(new RGBImage(img), color, gain);
}

static BWImage img_cubedDistanceFromColor_withGain(RGB color, double gain, BufferedImage img) {
  return img_cubedDistanceFromColor_withGain(img, color, gain);
}
static RGB rgbBlack() {
  return new RGB(0.0);
}
static BufferedImage blurFilterBufferedImage(BufferedImage img) {
  return new BoxBlurFilter(1).get(img);
}
static BufferedImage minFilterBufferedImage(BufferedImage img) {
  return new MinimumFilter(1).get(img);
}

static BufferedImage minFilterBufferedImage(int radius, BufferedImage img) {
  return new MinimumFilter(radius).get(img);
}
static BWImage bwAutoCrop(BWImage img) {
  return img.clip(autoCropOfBWImage(img));
}


static <A> A optParam(ThreadLocal<A> tl, A defaultValue) {
  return optPar(tl, defaultValue);
}

static <A> A optParam(ThreadLocal<A> tl) {
  return optPar(tl);
}

static Object optParam(String name, Map params) {
  return mapGet(params, name);
}

// now also takes a map as single array entry
static <A> A optParam(Object[] opt, String name, A defaultValue) {
  int n = l(opt);
  if (n == 1 && opt[0] instanceof Map) {
    Map map =  (Map) (opt[0]);
    return map.containsKey(name) ? (A) map.get(name) : defaultValue;
  }
  if (!even(l(opt))) throw fail("Odd parameter length");
  for (int i = 0; i < l(opt); i += 2)
    if (eq(opt[i], name))
      return (A) opt[i+1];
  return defaultValue;
}

static Object optParam(Object[] opt, String name) {
  return optParam(opt, name, null);
}
static double pow(double a, double b) {
  return Math.pow(a, b);
}

static float pow(float a, float b) {
  return (float) Math.pow(a, b);
}

static BigInteger pow(BigInteger a, int b) {
  return a.pow(b);
}
static float rgbDiff(RGB a, RGB b) {
  return (float) (Math.abs(a.r-b.r) + Math.abs(a.g-b.g) + Math.abs(a.b-b.b))/3;
}

// 0xRRGGBB - result is between 0 and 1
static float rgbDiff(int a, int b) {
  int r1 = (a >> 16) & 0xFF;
  int g1 = (a >> 8) & 0xFF;
  int b1 = a & 0xFF;
  int r2 = (b >> 16) & 0xFF;
  int g2 = (b >> 8) & 0xFF;
  int b2 = b & 0xFF;
  return (Math.abs(r1-r2) + Math.abs(g1-g2) + Math.abs(b1-b2))/(3f*255);
}
static float autoCropOfBWImage_threshold = 0.9f;

static Rect autoCropOfBWImage(BWImage img) {
  return autoCropOfBWImage(img, new Rect(0, 0, img.getWidth(), img.getHeight()));
}

static Rect autoCropOfBWImage(BWImage img, Rect r) {
  return autoCropOfBWImage(img, r, autoCropOfBWImage_threshold);
}

// r = initial rectangle
static Rect autoCropOfBWImage(BWImage img, Rect r, float threshold) {
  int x1 = r.x, y1 = r.y, x2 = r.x2(), y2 = r.y2();

  // left side

  end1:
  while (x1 < x2) {
    for (int y = y1; y < y2; y++)
      if (img.getPixel(x1, y) <= threshold)
        break end1;
    x1++;
  }

  // top side

  end2:
  while (y1 < y2) {
    for (int x = x1; x < x2; x++)
      if (img.getPixel(x, y1) <= threshold)
        break end2;
    y1++;
  }

  // right side

  end3:
  while (x2 > x1) {
    for (int y = y1; y < y2; y++)
      if (img.getPixel(x2-1, y) <= threshold)
        break end3;
    x2--;
  }

  // bottom side

  end4:
  while (y2 > y1) {
    for (int x = x1; x < x2; x++)
      if (img.getPixel(x, y2-1) <= threshold)
        break end4;
    y2--;
  }

  if (x2 <= x1 || y2 <= y1)
    return r;
  else
    return new Rect(x1, y1, x2 - x1, y2 - y1);
}



static <A, B> B mapGet(Map<A, B> map, A a) {
  return map == null || a == null ? null : map.get(a);
}

static <A, B> B mapGet(A a, Map<A, B> map) {
  return map == null || a == null ? null : map.get(a);
}
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(Object o) {
  return o == null ? 0
    : o instanceof String ? l((String) o)
    : o instanceof Map ? l((Map) o)
    : o instanceof Collection ? l((Collection) o)
    : o instanceof Object[] ? l((Object[]) o)
    : o instanceof boolean[] ? l((boolean[]) o)
    : o instanceof byte[] ? l((byte[]) o)
    : o instanceof char[] ? l((char[]) o)
    : o instanceof short[] ? l((short[]) o)
    : o instanceof int[] ? l((int[]) o)
    : o instanceof float[] ? l((float[]) o)
    : o instanceof double[] ? l((double[]) o)
    : o instanceof long[] ? l((long[]) o)
    : (Integer) call(o, "size");
}




static boolean even(int i) {
  return (i & 1) == 0;
}

static boolean even(long i) {
  return (i & 1) == 0;
}
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(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 == null ? b == null : a == b || b != null && a.equals(b);
}




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 Object call(Object o) {
  return callF(o);
}

// varargs assignment fixer for a single string array argument
static Object call(Object o, String method, String[] arg) {
  return call(o, method, new Object[] {arg});
}

static Object call(Object o, String method, Object... args) {
  //ret call_cached(o, method, args);
  return call_withVarargs(o, method, args);
}
static RuntimeException asRuntimeException(Throwable t) {
  
  if (t instanceof Error)
    _handleError((Error) t);
  
  return t instanceof RuntimeException ? (RuntimeException) t : new RuntimeException(t);
}
static String str(Object o) {
  return o == null ? "null" : o.toString();
}

static String str(char[] c) {
  return new String(c);
}


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 Map<Class, ArrayList<Method>> callF_cache = newDangerousWeakHashMap();




  static <A, B> B callF(F1<A, B> f, A a) {
    return f == null ? null : f.get(a);
  }





  static <A, B> B callF(IF1<A, B> f, A a) {
    return f == null ? null : f.get(a);
  }







  static <A> void callF(VF1<A> f, A a) {
    if (f != null) f.get(a);
  }


static Object callF(Object f, Object... args) { try {
  if (f instanceof String)
    return callMC((String) f, args);
  if (f instanceof Runnable) {
    ((Runnable) f).run();
    return null;
  }
  if (f == null) return null;
  
  Class c = f.getClass();
  ArrayList<Method> methods;
  synchronized(callF_cache) {
    methods = callF_cache.get(c);
    if (methods == null)
      methods = callF_makeCache(c);
  }
  
  int n = l(methods);
  if (n == 0) {
    
    throw fail("No get method in " + getClassName(c));
  }
  if (n == 1) return invokeMethod(methods.get(0), f, args);
  for (int i = 0; i < n; i++) {
    Method m = methods.get(i);
    if (call_checkArgs(m, args, false))
      return invokeMethod(m, f, args);
  }
  throw fail("No matching get method in " + getClassName(c));
} catch (Exception __e) { throw rethrow(__e); } }

// used internally
static ArrayList<Method> callF_makeCache(Class c) {
  ArrayList<Method> l = new ArrayList();
  Class _c = c;
  do {
    for (Method m : _c.getDeclaredMethods())
      if (m.getName().equals("get")) {
        m.setAccessible(true);
        l.add(m);
      }
    if (!l.isEmpty()) break;
    _c = _c.getSuperclass();
  } while (_c != null);
  callF_cache.put(c, l);
  return l;
}
static Object call_withVarargs(Object o, String method, Object... args) { try {
  if (o == null) return null;
  
  if (o instanceof Class) {
    Class c = (Class) o;
    _MethodCache cache = callOpt_getCache(c);
    
    Method me = cache.findStaticMethod(method, args);
    if (me != null)
      return invokeMethod(me, null, args);
      
    // try varargs
    List<Method> methods = cache.cache.get(method);
    if (methods != null) methodSearch: for (Method m : methods) {
      { if (!(m.isVarArgs())) continue; }
      { if (!(isStaticMethod(m))) continue; }
      Object[] newArgs = massageArgsForVarArgsCall(m, args);
      if (newArgs != null)
        return invokeMethod(m, null, newArgs);
    }
    
    throw fail("Method " + c.getName() + "." + method + "(" + joinWithComma(classNames(args)) + ") not found");
  } else {
    Class c = o.getClass();
    _MethodCache cache = callOpt_getCache(c);

    Method me = cache.findMethod(method, args);
    if (me != null)
      return invokeMethod(me, o, args);
      
    // try varargs
    List<Method> methods = cache.cache.get(method);
    if (methods != null) methodSearch: for (Method m : methods) {
      { if (!(m.isVarArgs())) continue; }
      Object[] newArgs = massageArgsForVarArgsCall(m, args);
      if (newArgs != null)
        return invokeMethod(m, o, newArgs);
    }
    
    throw fail("Method " + c.getName() + "." + method + "(" + joinWithComma(classNames(args)) + ") not found in " + c);
  }
} catch (Exception __e) { throw rethrow(__e); } }
static void _handleError(Error e) {
  call(javax(), "_handleError", e);
}


static <A, B> Map<A, B> newDangerousWeakHashMap() {
  return _registerDangerousWeakMap(synchroMap(new WeakHashMap()));
}

// initFunction: voidfunc(Map) - is called initially, and after clearing the map
static <A, B> Map<A, B> newDangerousWeakHashMap(Object initFunction) {
  return _registerDangerousWeakMap(synchroMap(new WeakHashMap()), initFunction);
}
static HashMap<String, List<Method>> callMC_cache = new HashMap();
static String callMC_key;
static Method callMC_value;

// varargs assignment fixer for a single string array argument
static Object callMC(String method, String[] arg) {
  return callMC(method, new Object[] {arg});
}

static Object callMC(String method, Object... args) { try {
  Method me;
  if (callMC_cache == null) callMC_cache = new HashMap(); // initializer time workaround
  synchronized(callMC_cache) {
    me = method == callMC_key ? callMC_value : null;
  }
  if (me != null) try {
    return invokeMethod(me, null, args);
  } catch (IllegalArgumentException e) {
    throw new RuntimeException("Can't call " + me + " with arguments " + classNames(args), e);
  }

  List<Method> m;
  synchronized(callMC_cache) {
    m = callMC_cache.get(method);
  }
  if (m == null) {
    if (callMC_cache.isEmpty()) {
      callMC_makeCache();
      m = callMC_cache.get(method);
    }
    if (m == null) throw fail("Method named " + method + " not found in main");
  }
  int n = m.size();
  if (n == 1) {
    me = m.get(0);
    synchronized(callMC_cache) {
      callMC_key = method;
      callMC_value = me;
    }
    try {
      return invokeMethod(me, null, args);
    } catch (IllegalArgumentException e) {
      throw new RuntimeException("Can't call " + me + " with arguments " + classNames(args), e);
    }
  }
  for (int i = 0; i < n; i++) {
    me = m.get(i);
    if (call_checkArgs(me, args, false))
      return invokeMethod(me, null, args);
  }
  throw fail("No method called " + method + " with matching arguments found in main");
} catch (Exception __e) { throw rethrow(__e); } }

static void callMC_makeCache() {
  synchronized(callMC_cache) {
    callMC_cache.clear();
    Class _c = (Class) mc(), c = _c;
    while (c != null) {
      for (Method m : c.getDeclaredMethods())
        if ((m.getModifiers() & java.lang.reflect.Modifier.STATIC) != 0) {
          m.setAccessible(true);
          multiMapPut(callMC_cache, m.getName(), m);
        }
      c = c.getSuperclass();
    }
  }
}
static String getClassName(Object o) {
  return o == null ? "null" : o instanceof Class ? ((Class) o).getName() : o.getClass().getName();
}
static Object invokeMethod(Method m, Object o, Object... args) { try {
  try {
    return m.invoke(o, args);
  } catch (InvocationTargetException e) {
    throw rethrow(getExceptionCause(e));
  } catch (IllegalArgumentException e) {
    throw new IllegalArgumentException(e.getMessage() + " - was calling: " + m + ", args: " + joinWithSpace(classNames(args)));
  }
} catch (Exception __e) { throw rethrow(__e); } }
static boolean call_checkArgs(Method m, Object[] args, boolean debug) {
  Class<?>[] types = m.getParameterTypes();
  if (types.length != args.length) {
    if (debug)
      print("Bad parameter length: " + args.length + " vs " + types.length);
    return false;
  }
  for (int i = 0; i < types.length; i++) {
    Object arg = args[i];
    if (!(arg == null ? !types[i].isPrimitive()
      : isInstanceX(types[i], arg))) {
      if (debug)
        print("Bad parameter " + i + ": " + arg + " vs " + types[i]);
      return false;
    }
  }
  return true;
}
static final Map<Class, _MethodCache> callOpt_cache = newDangerousWeakHashMap();

static Object callOpt_cached(Object o, String methodName, Object... args) { try {
  if (o == null) return null;
  
  if (o instanceof Class) {
    Class c = (Class) o;
    _MethodCache cache = callOpt_getCache(c);
    
    // TODO: (super-rare) case where method exists static and non-static
    // with different args
    
    Method me = cache.findMethod(methodName, args);
    if (me == null || (me.getModifiers() & Modifier.STATIC) == 0) return null;
    return invokeMethod(me, null, args);
  } else {
    Class c = o.getClass();
    _MethodCache cache = callOpt_getCache(c);

    Method me = cache.findMethod(methodName, args);
    if (me == null) return null;
    return invokeMethod(me, o, args);
  }
} catch (Exception __e) { throw rethrow(__e); } }

static _MethodCache callOpt_getCache(Class c) {
  synchronized(callOpt_cache) {
    _MethodCache cache = callOpt_cache.get(c);
    if (cache == null)
      callOpt_cache.put(c, cache = new _MethodCache(c));
    return cache;
  }
}
static boolean isStaticMethod(Method m) {
  return methodIsStatic(m);
}
static Object[] massageArgsForVarArgsCall(Method m, Object[] args) {
  Class<?>[] types = m.getParameterTypes();
  int n = types.length-1, nArgs = args.length;
  if (nArgs < n) return null;
  for (int i = 0; i < n; i++)
    if (!argumentCompatibleWithType(args[i], types[i]))
      return null;
  Class varArgType = types[n].getComponentType();
  for (int i = n; i < nArgs; i++)
    if (!argumentCompatibleWithType(args[i], varArgType))
      return null;
  Object[] newArgs = new Object[n+1];
  arraycopy(args, 0, newArgs, 0, n);
  Object[] varArgs = arrayOfType(varArgType, nArgs-n);
  arraycopy(args, n, varArgs, 0, nArgs-n);
  newArgs[n] = varArgs;
  return newArgs;
}
static <A> String joinWithComma(Collection<A> c) {
  return join(", ", c);
}

static String joinWithComma(String... c) {
  return join(", ", c);
}


static String joinWithComma(Pair p) {
  return p == null ? "" : joinWithComma(str(p.a), str(p.b));
}

static List<String> classNames(Collection l) {
  return getClassNames(l);
}

static List<String> classNames(Object[] l) {
  return getClassNames(Arrays.asList(l));
}
static Class javax() {
  return getJavaX();
}


static List<Pair> _registerDangerousWeakMap_preList;

static <A> A _registerDangerousWeakMap(A map) {
  return _registerDangerousWeakMap(map, null);
}

static <A> A _registerDangerousWeakMap(A map, Object init) {
  
  callF(init, map);
  
  if (init instanceof String) {
    final String f =  (String) init;
    init = new VF1<Map>() { public void get(Map map) { try {  callMC(f, map) ; } catch (Exception __e) { throw rethrow(__e); } }
  public String toString() { return "callMC(f, map)"; }};
  }
    
  if (javax() == null) {
    // We're in class init
    if (_registerDangerousWeakMap_preList == null) _registerDangerousWeakMap_preList = synchroList();
    _registerDangerousWeakMap_preList.add(pair(map, init));
    return map;
  }
  
  call(javax(), "_registerDangerousWeakMap", map, init);
  
  return map;
}

static void _onLoad_registerDangerousWeakMap() {
  
  assertNotNull(javax());
  if (_registerDangerousWeakMap_preList == null) return;
  for (Pair p : _registerDangerousWeakMap_preList)
    _registerDangerousWeakMap(p.a, p.b);
  _registerDangerousWeakMap_preList = null;
  
}
static Map synchroMap() {
  return synchroHashMap();
}

static <A, B> Map<A, B> synchroMap(Map<A, B> map) {
  return Collections.synchronizedMap(map);
}
static Class mc() {
  return main.class;
}
static <A, B> void multiMapPut(Map<A, List<B>> map, A a, B b) {
  List<B> l = map.get(a);
  if (l == null)
    map.put(a, l = new ArrayList());
  l.add(b);
}


static Throwable getExceptionCause(Throwable e) {
  Throwable c = e.getCause();
  return c != null ? c : e;
}
static String joinWithSpace(Collection<String> c) {
  return join(" ", c);
}

static String joinWithSpace(String... c) {
  return join(" ", c);
}



static volatile StringBuffer local_log = new StringBuffer(); // not redirected


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<Object> print_byThread; // special handling by thread - prefers F1<S, Bool>
static volatile Object print_allThreads;
static volatile Object print_preprocess;

static void print() {
  print("");
}

static <A> A print(String s, A o) {
  print((endsWithLetterOrDigit(s) ? s + ": " : s) + o);
  return o;
}

// slightly overblown signature to return original object...
static <A> A print(A o) {
  ping_okInCleanUp();
  if (print_silent) return o;
  String s = String.valueOf(o) + "\n";
  print_noNewLine(s);
  return o;
}

static void print_noNewLine(String s) {
  
  Object f = getThreadLocal(print_byThread_dontCreate());
  if (f == null) f = print_allThreads;
  if (f != null)
    // We do need the general callF machinery here as print_byThread is sometimes shared between modules
    if (isFalse(
      
        f instanceof F1 ? ((F1) f).get(s) :
      
      callF(f, s))) return;
  

  print_raw(s);
}

static void print_raw(String s) {
  
  if (print_preprocess != null) s = (String) callF(print_preprocess, s);
  s = fixNewLines(s);
  
  Appendable loc = local_log;
  Appendable buf = print_log;
  int loc_max = print_log_max;
  if (buf != loc && buf != null) {
    print_append(buf, s, print_log_max);
    loc_max = local_log_max;
  }
  if (loc != null) 
    print_append(loc, s, loc_max);
  System.out.print(s);
}

static void print_autoRotate() {
  
}
static boolean isInstanceX(Class type, Object arg) {
  if (type == boolean.class) return arg instanceof Boolean;
  if (type == int.class) return arg instanceof Integer;
  if (type == long.class) return arg instanceof Long;
  if (type == float.class) return arg instanceof Float;
  if (type == short.class) return arg instanceof Short;
  if (type == char.class) return arg instanceof Character;
  if (type == byte.class) return arg instanceof Byte;
  if (type == double.class) return arg instanceof Double;
  return type.isInstance(arg);
}
static boolean methodIsStatic(Method m) {
  return (m.getModifiers() & Modifier.STATIC) != 0;
}
static boolean argumentCompatibleWithType(Object arg, Class type) {
  return arg == null ? !type.isPrimitive() : isInstanceX(type, arg);
}
static void arraycopy(Object[] a, Object[] b) {
  if (a != null && b != null)
    arraycopy(a, 0, b, 0, min(a.length, b.length));
}

static void arraycopy(Object src, int srcPos, Object dest, int destPos, int n) {
  if (n != 0)
    System.arraycopy(src, srcPos, dest, destPos, n);
}
static <A> A[] arrayOfType(Class<A> type, int n) {
  return makeArray(type, n);
}

static <A> A[] arrayOfType(int n, Class<A> type) {
  return arrayOfType(type, n);
}
public static <A> String join(String glue, Iterable<A> strings) {
  if (strings == null) return "";
  if (strings instanceof Collection) {
    if (((Collection) strings).size() == 1) return str(first(((Collection) strings)));
  }
  StringBuilder buf = new StringBuilder();
  Iterator<A> i = strings.iterator();
  if (i.hasNext()) {
    buf.append(i.next());
    while (i.hasNext())
      buf.append(glue).append(i.next());
  }
  return buf.toString();
}

public static String join(String glue, String... strings) {
  return join(glue, Arrays.asList(strings));
}

static <A> String join(Iterable<A> strings) {
  return join("", strings);
}

static <A> String join(Iterable<A> strings, String glue) {
  return join(glue, strings);
}

public static String join(String[] strings) {
  return join("", strings);
}


static String join(String glue, Pair p) {
  return p == null ? "" : str(p.a) + glue + str(p.b);
}

static List<String> getClassNames(Collection l) {
  List<String> out = new ArrayList();
  if (l != null) for (Object o : l)
    out.add(o == null ? null : getClassName(o));
  return out;
}
static Class __javax;

static Class getJavaX() { try {
  
  return __javax;
} catch (Exception __e) { throw rethrow(__e); } }


static <A> List<A> synchroList() {
  return Collections.synchronizedList(new ArrayList<A>());
}

static <A> List<A> synchroList(List<A> l) {
  return Collections.synchronizedList(l);
}

static <A, B> Pair<A, B> pair(A a, B b) {
  return new Pair(a, b);
}

static <A> Pair<A, A> pair(A a) {
  return new Pair(a, a);
}
static <A> A assertNotNull(A a) {
  assertTrue(a != null);
  return a;
}

static <A> A assertNotNull(String msg, A a) {
  assertTrue(msg, a != null);
  return a;
}
static Map synchroHashMap() {
  return Collections.synchronizedMap(new HashMap());
}

static boolean endsWithLetterOrDigit(String s) {
  return s != null && s.length() > 0 && Character.isLetterOrDigit(s.charAt(s.length()-1));
}
static void ping_okInCleanUp() {
  if (ping_pauseAll  || ping_anyActions )
    ping_impl(true);
}
// this syntax should be removed...
static Object getThreadLocal(Object o, String name) {
  ThreadLocal t =  (ThreadLocal) (getOpt(o, name));
  return t != null ? t.get() : null;
}

static <A> A getThreadLocal(ThreadLocal<A> tl) {
  return tl == null ? null : tl.get();
}

static <A> A getThreadLocal(ThreadLocal<A> tl, A defaultValue) {
  return or(getThreadLocal(tl), defaultValue);
}
static ThreadLocal<Object> print_byThread_dontCreate() {
  return print_byThread;
}
static boolean isFalse(Object o) {
  return eq(false, o);
}
static String fixNewLines(String s) {
  int i = indexOf(s, '\r');
  if (i < 0) return s;
  int l = s.length();
  StringBuilder out = new StringBuilder(l);
  out.append(s, 0, i);
  for (; i < l; i++) {
    char c = s.charAt(i);
    if (c != '\r')
      out.append(c);
    else {
      out.append('\n');
      if (i+1 < l && s.charAt(i+1) == '\n') ++i;
    }
  }
  return out.toString();
}
static void print_append(Appendable buf, String s, int max) { try {
  synchronized(buf) {
    buf.append(s);
    if (buf instanceof StringBuffer)
      rotateStringBuffer(((StringBuffer) buf), max);
    else if (buf instanceof StringBuilder)
      rotateStringBuilder(((StringBuilder) buf), max);
  }
} catch (Exception __e) { throw rethrow(__e); } }
static int min(int a, int b) {
  return Math.min(a, b);
}

static long min(long a, long b) {
  return Math.min(a, b);
}

static float min(float a, float b) { return Math.min(a, b); }
static float min(float a, float b, float c) { return min(min(a, b), c); }

static double min(double a, double b) {
  return Math.min(a, b);
}

static double min(double[] c) {
  double x = Double.MAX_VALUE;
  for (double d : c) x = Math.min(x, d);
  return x;
}

static float min(float[] c) {
  float x = Float.MAX_VALUE;
  for (float d : c) x = Math.min(x, d);
  return x;
}

static byte min(byte[] c) {
  byte x = 127;
  for (byte d : c) if (d < x) x = d;
  return x;
}

static short min(short[] c) {
  short x = 0x7FFF;
  for (short d : c) if (d < x) x = d;
  return x;
}

static int min(int[] c) {
  int x = Integer.MAX_VALUE;
  for (int d : c) if (d < x) x = d;
  return x;
}
static <A> A[] makeArray(Class<A> type, int n) {
  return (A[]) Array.newInstance(type, n);
}
static Object first(Object list) {
  return first((Iterable) list);
}

static <A> A first(List<A> list) {
  return empty(list) ? null : list.get(0);
}

static <A> A first(A[] bla) {
  return bla == null || bla.length == 0 ? null : bla[0];
}



static <A> A first(Iterator<A> i) {
  return i == null || !i.hasNext() ? null : i.next();
}

static <A> A first(Iterable<A> i) {
  if (i == null) return null;
  Iterator<A> it = i.iterator();
  return it.hasNext() ? it.next() : null;
}

static Character first(String s) { return empty(s) ? null : s.charAt(0); }


static <A, B> A first(Pair<A, B> p) {
  return p == null ? null : p.a;
}





static void assertTrue(Object o) {
  if (!(eq(o, true) /*|| isTrue(pcallF(o))*/))
    throw fail(str(o));
}
  
static boolean assertTrue(String msg, boolean b) {
  if (!b)
    throw fail(msg);
  return b;
}

static boolean assertTrue(boolean b) {
  if (!b)
    throw fail("oops");
  return b;
}
//sbool ping_actions_shareable = true;
static volatile boolean ping_pauseAll = false;
static int ping_sleep = 100; // poll pauseAll flag every 100

static volatile boolean ping_anyActions = false;
static Map<Thread, Object> ping_actions = newWeakHashMap();
static ThreadLocal<Boolean> ping_isCleanUpThread = new ThreadLocal();


// always returns true
static boolean ping() {
  if (ping_pauseAll  || ping_anyActions ) ping_impl(true /* XXX */);
  //ifndef LeanMode ping_impl(); endifndef
  return true;
}

// returns true when it slept
static boolean ping_impl(boolean okInCleanUp) { try {
  if (ping_pauseAll && !isAWTThread()) {
    do
      Thread.sleep(ping_sleep);
    while (ping_pauseAll);
    return true;
  }
  
  
  if (ping_anyActions) { // don't allow sharing ping_actions
    if (!okInCleanUp && !isTrue(ping_isCleanUpThread.get()))
      failIfUnlicensed();
    Object action = null;
    synchronized(ping_actions) {
      if (!ping_actions.isEmpty()) {
        action = ping_actions.get(currentThread());
        if (action instanceof Runnable)
          ping_actions.remove(currentThread());
        if (ping_actions.isEmpty()) ping_anyActions = false;
      }
    }
    
    if (action instanceof Runnable)
      ((Runnable) action).run();
    else if (eq(action, "cancelled"))
      throw fail("Thread cancelled.");
  }
  
  
  return false;
} catch (Exception __e) { throw rethrow(__e); } }
static Object getOpt(Object o, String field) {
  return getOpt_cached(o, field);
}

static Object getOpt(String field, Object o) {
  return getOpt_cached(o, field);
}

static Object getOpt_raw(Object o, String field) { try {
  Field f = getOpt_findField(o.getClass(), field);
  if (f == null) return null;
  f.setAccessible(true);
  return f.get(o);
} catch (Exception __e) { throw rethrow(__e); } }

// access of static fields is not yet optimized
static Object getOpt(Class c, String field) { try {
  if (c == null) return null;
  Field f = getOpt_findStaticField(c, field);
  if (f == null) return null;
  f.setAccessible(true);
  return f.get(null);
} catch (Exception __e) { throw rethrow(__e); } }

static Field getOpt_findStaticField(Class<?> c, String field) {
  Class _c = c;
  do {
    for (Field f : _c.getDeclaredFields())
      if (f.getName().equals(field) && (f.getModifiers() & java.lang.reflect.Modifier.STATIC) != 0)
        return f;
    _c = _c.getSuperclass();
  } while (_c != null);
  return null;
}

static <A> A or(A a, A b) {
  return a != null ? a : b;
}
static <A> int indexOf(List<A> l, A a, int startIndex) {
  if (l == null) return -1;
  int n = l(l);
  for (int i = startIndex; i < n; i++)
    if (eq(l.get(i), a))
      return i;
  return -1;
}

static <A> int indexOf(List<A> l, int startIndex, A a) {
  return indexOf(l, a, startIndex);
}

static <A> int indexOf(List<A> l, A a) {
  if (l == null) return -1;
  return l.indexOf(a);
}

static int indexOf(String a, String b) {
  return a == null || b == null ? -1 : a.indexOf(b);
}

static int indexOf(String a, String b, int i) {
  return a == null || b == null ? -1 : a.indexOf(b, i);
}

static int indexOf(String a, char b) {
  return a == null ? -1 : a.indexOf(b);
}

static int indexOf(String a, int i, char b) {
  return indexOf(a, b, i);
}

static int indexOf(String a, char b, int i) {
  return a == null ? -1 : a.indexOf(b, i);
}

static int indexOf(String a, int i, String b) {
  return a == null || b == null ? -1 : a.indexOf(b, i);
}

static <A> int indexOf(A[] x, A a) {
  int n = l(x);
  for (int i = 0; i < n; i++)
    if (eq(x[i], a))
      return i;
  return -1;
}
static void rotateStringBuffer(StringBuffer buf, int max) { try {
  if (buf == null) return;
  synchronized(buf) {
    if (buf.length() <= max) return;
    
    try {
      int newLength = max/2;
      int ofs = buf.length()-newLength;
      String newString = buf.substring(ofs);
      buf.setLength(0);
      buf.append("[...] ").append(newString);
    } catch (Exception e) {
      buf.setLength(0);
    }
    buf.trimToSize();
  }
} catch (Exception __e) { throw rethrow(__e); } }
static void rotateStringBuilder(StringBuilder buf, int max) { try {
  if (buf == null) return;
  synchronized(buf) {
    if (buf.length() <= max) return;
    
    try {
      int newLength = max/2;
      int ofs = buf.length()-newLength;
      String newString = buf.substring(ofs);
      buf.setLength(0);
      buf.append("[...] ").append(newString);
    } catch (Exception e) {
      buf.setLength(0);
    }
    buf.trimToSize();
  }
} catch (Exception __e) { throw rethrow(__e); } }
static boolean empty(Collection c) { return c == null || c.isEmpty(); }
static boolean empty(CharSequence s) { return s == null || s.length() == 0; }
static boolean empty(Map map) { return map == null || map.isEmpty(); }
static boolean empty(Object[] o) { return o == null || o.length == 0; }
static boolean empty(Object o) {
  if (o instanceof Collection) return empty((Collection) o);
  if (o instanceof String) return empty((String) o);
  if (o instanceof Map) return empty((Map) o);
  if (o instanceof Object[]) return empty((Object[]) o);
  if (o instanceof byte[]) return empty((byte[]) o);
  if (o == null) return true;
  throw fail("unknown type for 'empty': " + getType(o));
}

static boolean empty(float[] a) { return a == null || a.length == 0; }
static boolean empty(int[] a) { return a == null || a.length == 0; }
static boolean empty(long[] a) { return a == null || a.length == 0; }
static boolean empty(byte[] a) { return a == null || a.length == 0; }
static boolean empty(short[] a) { return a == null || a.length == 0; }



static boolean empty(File f) { return getFileSize(f) == 0; }


static <A, B> Map<A, B> newWeakHashMap() {
  return _registerWeakMap(synchroMap(new WeakHashMap()));
}
// TODO: test if android complains about this
static boolean isAWTThread() {
  if (isAndroid()) return false;
  if (isHeadless()) return false;
  return isAWTThread_awt();
}

static boolean isAWTThread_awt() {
  return SwingUtilities.isEventDispatchThread();
}
static boolean isTrue(Object o) {
  if (o instanceof Boolean)
    return ((Boolean) o).booleanValue();
  if (o == null) return false;
  if (o instanceof ThreadLocal)
    return isTrue(((ThreadLocal) o).get());
  throw fail(getClassName(o));
}
static void failIfUnlicensed() {
  assertTrue("license off", licensed());
}
static Thread currentThread() {
  return Thread.currentThread();
}
//static final Map<Class, HashMap<S, Field>> getOpt_cache = newDangerousWeakHashMap(f getOpt_special_init);

static class getOpt_Map extends WeakHashMap {
  getOpt_Map() {
    if (getOpt_special == null) getOpt_special = new HashMap();
    clear();
  }
  
  public void clear() {
    super.clear();
    //print("getOpt clear");
    put(Class.class, getOpt_special);
    put(String.class, getOpt_special);
  }
}

static final Map<Class, HashMap<String, Field>> getOpt_cache = _registerDangerousWeakMap(synchroMap(new getOpt_Map()));
//static final Map<Class, HashMap<S, Field>> getOpt_cache = _registerWeakMap(synchroMap(new getOpt_Map));
static HashMap getOpt_special; // just a marker

/*static void getOpt_special_init(Map map) {
  map.put(Class.class, getOpt_special);
  map.put(S.class, getOpt_special);
}*/

static Object getOpt_cached(Object o, String field) { try {
  if (o == null) return null;

  Class c = o.getClass();
  HashMap<String, Field> map;
  synchronized(getOpt_cache) {
    map = getOpt_cache.get(c);
    if (map == null)
      map = getOpt_makeCache(c);
  }
  
  if (map == getOpt_special) {
    if (o instanceof Class)
      return getOpt((Class) o, field);
    /*if (o instanceof S)
      ret getOpt(getBot((S) o), field);*/
    if (o instanceof Map)
      return ((Map) o).get(field);
  }
    
  Field f = map.get(field);
  if (f != null) return f.get(o);
  
  return null;
} catch (Exception __e) { throw rethrow(__e); } }

// used internally - we are in synchronized block
static HashMap<String, Field> getOpt_makeCache(Class c) {
  HashMap<String, Field> map;
  if (isSubtypeOf(c, Map.class))
    map = getOpt_special;
  else {
    map = new HashMap();
    if (!reflection_classesNotToScan().contains(c.getName())) {
      Class _c = c;
      do {
        for (Field f : _c.getDeclaredFields()) {
          f.setAccessible(true);
          String name = f.getName();
          if (!map.containsKey(name))
            map.put(name, f);
        }
        _c = _c.getSuperclass();
      } while (_c != null);
    }
  }
  if (getOpt_cache != null) getOpt_cache.put(c, map);
  return map;
}
static Field getOpt_findField(Class<?> c, String field) {
  Class _c = c;
  do {
    for (Field f : _c.getDeclaredFields())
      if (f.getName().equals(field))
        return f;
    _c = _c.getSuperclass();
  } while (_c != null);
  return null;
}
static String getType(Object o) {
  return getClassName(o);
}
static long getFileSize(String path) {
  return path == null ? 0 : new File(path).length();
}

static long getFileSize(File f) {
  return f == null ? 0 : f.length();
}


static List _registerWeakMap_preList;

static <A> A _registerWeakMap(A map) {
  if (javax() == null) {
    // We're in class init
    if (_registerWeakMap_preList == null) _registerWeakMap_preList = synchroList();
    _registerWeakMap_preList.add(map);
    return map;
  }
  
  try {
    call(javax(), "_registerWeakMap", map);
  } catch (Throwable e) {
    printException(e);
    print("Upgrade JavaX!!");
  }
  return map;
}

static void _onLoad_registerWeakMap() {
  assertNotNull(javax());
  if (_registerWeakMap_preList == null) return;
  for (Object o : _registerWeakMap_preList)
    _registerWeakMap(o);
  _registerWeakMap_preList = null;
}
static int isAndroid_flag;

static boolean isAndroid() {
  if (isAndroid_flag == 0)
    isAndroid_flag = System.getProperty("java.vendor").toLowerCase().indexOf("android") >= 0 ? 1 : -1;
  return isAndroid_flag > 0;
}

static Boolean isHeadless_cache;

static boolean isHeadless() {
  if (isHeadless_cache != null) return isHeadless_cache;
  if (isAndroid()) return isHeadless_cache = true;
  if (GraphicsEnvironment.isHeadless()) return isHeadless_cache = true;
  
  // Also check if AWT actually works.
  // If DISPLAY variable is set but no X server up, this will notice.
  
  try {
    SwingUtilities.isEventDispatchThread();
    return isHeadless_cache = false;
  } catch (Throwable e) { return isHeadless_cache = true; }
}
static volatile boolean licensed_yes = true;

static boolean licensed() {
  if (!licensed_yes) return false;
  ping_okInCleanUp();
  return true;
}

static void licensed_off() {
  licensed_yes = false;
}
static void clear(Collection c) {
  if (c != null) c.clear();
}
static <A, B> void put(Map<A, B> map, A a, B b) {
  if (map != null) map.put(a, b);
}

static <A> void put(List<A> l, int i, A a) {
  if (l != null && i >= 0 && i < l(l)) l.set(i, a);
}
static <A, B> B mapGet2(Map<A, B> map, A a) {
  return map == null ? null : map.get(a);
}

static <A, B> B mapGet2(A a, Map<A, B> map) {
  return map == null ? null : map.get(a);
}
static boolean isSubtypeOf(Class a, Class b) {
  return b.isAssignableFrom(a); // << always hated that method, let's replace it!
}
static Set<String> reflection_classesNotToScan_value = litset(
  "jdk.internal.loader.URLClassPath"
);

static Set<String> reflection_classesNotToScan() {
  return reflection_classesNotToScan_value;
}


static <A extends Throwable> A printException(A e) {
  printStackTrace(e);
  return e;
}
static <A> HashSet<A> litset(A... items) {
  return lithashset(items);
}


static <A extends Throwable> A printStackTrace(A e) {
  // we go to system.out now - system.err is nonsense
  print(getStackTrace(e));
  return e;
}

static void printStackTrace() {
  printStackTrace(new Throwable());
}

static void printStackTrace(String msg) {
  printStackTrace(new Throwable(msg));
}

static void printStackTrace(String msg, Throwable e) {
  printStackTrace(new Throwable(msg, e));
}
static <A> HashSet<A> lithashset(A... items) {
  HashSet<A> set = new HashSet();
  for (A a : items) set.add(a);
  return set;
}


static String getStackTrace(Throwable throwable) {
  lastException(throwable);
  return getStackTrace_noRecord(throwable);
}

static String getStackTrace_noRecord(Throwable throwable) {
  StringWriter writer = new StringWriter();
  throwable.printStackTrace(new PrintWriter(writer));
  return hideCredentials(writer.toString());
}

static String getStackTrace() {
  return getStackTrace_noRecord(new Throwable());
}


// PersistableThrowable doesn't hold GC-disturbing class references in backtrace
static volatile PersistableThrowable lastException_lastException;

static PersistableThrowable lastException() {
  return lastException_lastException;
}

static void lastException(Throwable e) {
  lastException_lastException = persistableThrowable(e);
}
static String hideCredentials(URL url) { return url == null ? null : hideCredentials(str(url)); }

static String hideCredentials(String url) {
  try {
    if (startsWithOneOf(url, "http://", "https://") && isAGIBlueDomain(hostNameFromURL(url))) return url;
  } catch (Throwable e) {
    print("HideCredentials", e);
  }
  return url.replaceAll("([&?])(_pass|key)=[^&\\s\"]*", "$1$2=<hidden>");
}

static String hideCredentials(Object o) {
  return hideCredentials(str(o));
}


static PersistableThrowable persistableThrowable(Throwable e) {
  return e == null ? null : new PersistableThrowable(e);
}
static boolean startsWithOneOf(String s, String... l) {
  for (String x : l) if (startsWith(s, x)) return true; return false;
}
static boolean isAGIBlueDomain(String domain) {
  return domainIsUnder(domain, theAGIBlueDomain());
}
static String hostNameFromURL(String url) { try {
  return new URL(url).getHost();
} catch (Exception __e) { throw rethrow(__e); } }


static boolean startsWith(String a, String b) {
  return a != null && a.startsWith(b);
}

static boolean startsWith(String a, char c) {
  return nemptyString(a) && a.charAt(0) == c;
}



static boolean startsWith(List a, List b) {
  if (a == null || listL(b) > listL(a)) return false;
  for (int i = 0; i < listL(b); i++)
    if (neq(a.get(i), b.get(i)))
      return false;
  return true;
}


static boolean domainIsUnder(String domain, String mainDomain) {
  return eqic(domain, mainDomain) || ewic(domain, "." + mainDomain);
}
static String theAGIBlueDomain() {
  return "agi.blue";
}


static boolean nemptyString(String s) {
  return s != null && s.length() > 0;
}
static String substring(String s, int x) {
  return substring(s, x, strL(s));
}

static String substring(String s, int x, int y) {
  if (s == null) return null;
  if (x < 0) x = 0;
  if (x >= s.length()) return "";
  if (y < x) y = x;
  if (y > s.length()) y = s.length();
  return s.substring(x, y);
}


static int strL(String s) {
  return s == null ? 0 : s.length();
}
static int listL(Collection l) {
  return l == null ? 0 : l.size();
}
static boolean neq(Object a, Object b) {
  return !eq(a, b);
}
static boolean eqic(String a, String b) {
  
  
    if ((a == null) != (b == null)) return false;
    if (a == null) return true;
    return a.equalsIgnoreCase(b);
  
}



static boolean eqic(char a, char b) {
  if (a == b) return true;
  
    char u1 = Character.toUpperCase(a);
    char u2 = Character.toUpperCase(b);
    if (u1 == u2) return true;
  
  return Character.toLowerCase(u1) == Character.toLowerCase(u2);
}
static boolean ewic(String a, String b) {
  return endsWithIgnoreCase(a, b);
}




static String asString(Object o) {
  return o == null ? null : o.toString();
}
static boolean endsWithIgnoreCase(String a, String b) {
  int la = l(a), lb = l(b);
  return la >= lb && regionMatchesIC(a, la-lb, b, 0, lb);
}




static boolean regionMatchesIC(String a, int offsetA, String b, int offsetB, int len) {
  
  
    return a != null && a.regionMatches(true, offsetA, b, offsetB, len);
  
}


// immutable, has strong refs
final static class _MethodCache {
  final Class c;
  final HashMap<String, List<Method>> cache = new HashMap();
  
  _MethodCache(Class c) {
  this.c = c; _init(); }
  
  void _init() {
    Class _c = c;
    while (_c != null) {
      for (Method m : _c.getDeclaredMethods())
        if (!reflection_isForbiddenMethod(m))
          multiMapPut(cache, m.getName(), makeAccessible(m));
      _c = _c.getSuperclass();
    }
    
    // add default methods - this might lead to a duplication
    // because the overridden method is also added, but it's not
    // a problem except for minimal performance loss.
    for (Class intf : allInterfacesImplementedBy(c))
      for (Method m : intf.getDeclaredMethods())
        if (m.isDefault() && !reflection_isForbiddenMethod(m))
          multiMapPut(cache, m.getName(), makeAccessible(m));

    
  }
  
  // Returns only matching methods
  Method findMethod(String method, Object[] args) { try {
    List<Method> m = cache.get(method);
    
    if (m == null) return null;
    int n = m.size();
    for (int i = 0; i < n; i++) {
      Method me = m.get(i);
      if (call_checkArgs(me, args, false))
        return me;
    }
    return null;
  } catch (Exception __e) { throw rethrow(__e); } }
  
  Method findStaticMethod(String method, Object[] args) { try {
    List<Method> m = cache.get(method);
    if (m == null) return null;
    int n = m.size();
    for (int i = 0; i < n; i++) {
      Method me = m.get(i);
      if (isStaticMethod(me) && call_checkArgs(me, args, false))
        return me;
    }
    return null;
  } catch (Exception __e) { throw rethrow(__e); } }
}static abstract class VF1<A> implements IVF1<A> {
  public abstract void get(A a);
}static class Rect {
  int x, y, w, h;
  
  Rect() {}
  Rect(Rectangle r) {
    x = r.x;
    y = r.y;
    w = r.width;
    h = r.height;
  }
  Rect(int x, int y, int w, int h) {
  this.h = h;
  this.w = w;
  this.y = y;
  this.x = x;}
  Rect(Pt p, int w, int h) {
  this.h = h;
  this.w = w; x = p.x; y = p.y; }
  Rect(Rect r) { x = r.x; y = r.y; w = r.w; h = r.h; }
  
  Rectangle getRectangle() {
    return new Rectangle(x, y, w, h);
  }
  
  public boolean equals(Object o) { return stdEq2(this, o); }
public int hashCode() { return stdHash2(this); }
  
  public String toString() {
    return x + "," + y + " / " + w + "," + h;
  }
  
  int x2() { return x + w; }
  int y2() { return y + h; }
  
  boolean contains(Pt p) {
    return contains(p.x, p.y);
  }
  
  boolean contains(int _x, int _y) {
    return _x >= x && _y >= y && _x < x+w && _y < y+h;
  }
  
  boolean empty() { return w <= 0 || h <= 0; }
}// from http://www.jhlabs.com/ip/blurring.html

/*
Copyright 2006 Jerry Huxtable

Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at

   http://www.apache.org/licenses/LICENSE-2.0

Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*/

static class BoxBlurFilter extends AbstractBufferedImageOp implements IF1<BufferedImage, BufferedImage> {
  int hRadius;
  int vRadius;
  int iterations = 1;
  
  BoxBlurFilter() {}
  BoxBlurFilter(int radius) { hRadius = vRadius = radius; }
  BoxBlurFilter(int hRadius, int vRadius) {
  this.vRadius = vRadius;
  this.hRadius = hRadius;}
  
  public BufferedImage get(BufferedImage src) {
    return filter(src, null);
  }
  
  public BufferedImage filter(BufferedImage src, BufferedImage dst) {
        int width = src.getWidth();
        int height = src.getHeight();

        if ( dst == null )
            dst = createCompatibleDestImage( src, null );

        int[] inPixels = new int[width*height];
        int[] outPixels = new int[width*height];
        getRGB( src, 0, 0, width, height, inPixels );

        for (int i = 0; i < iterations; i++ ) {
            blur( inPixels, outPixels, width, height, hRadius );
            blur( outPixels, inPixels, height, width, vRadius );
        }

        setRGB( dst, 0, 0, width, height, inPixels );
        return dst;
    }

    static void blur( int[] in, int[] out, int width, int height, int radius ) {
        int widthMinus1 = width-1;
        int tableSize = 2*radius+1;
        int divide[] = new int[256*tableSize];

        for ( int i = 0; i < 256*tableSize; i++ )
            divide[i] = i/tableSize;

        int inIndex = 0;
        
        for ( int y = 0; y < height; y++ ) {
            int outIndex = y;
            int ta = 0, tr = 0, tg = 0, tb = 0;

            for ( int i = -radius; i <= radius; i++ ) {
                int rgb = in[inIndex + clamp(i, 0, width-1)];
                ta += (rgb >> 24) & 0xff;
                tr += (rgb >> 16) & 0xff;
                tg += (rgb >> 8) & 0xff;
                tb += rgb & 0xff;
            }

            for ( int x = 0; x < width; x++ ) {
                out[ outIndex ] = (divide[ta] << 24) | (divide[tr] << 16) | (divide[tg] << 8) | divide[tb];

                int i1 = x+radius+1;
                if ( i1 > widthMinus1 )
                    i1 = widthMinus1;
                int i2 = x-radius;
                if ( i2 < 0 )
                    i2 = 0;
                int rgb1 = in[inIndex+i1];
                int rgb2 = in[inIndex+i2];
                
                ta += ((rgb1 >> 24) & 0xff)-((rgb2 >> 24) & 0xff);
                tr += ((rgb1 & 0xff0000)-(rgb2 & 0xff0000)) >> 16;
                tg += ((rgb1 & 0xff00)-(rgb2 & 0xff00)) >> 8;
                tb += (rgb1 & 0xff)-(rgb2 & 0xff);
                outIndex += height;
            }
            inIndex += width;
        }
    }
}static class PersistableThrowable {
  String className;
  String msg;
  String stacktrace;
  
  PersistableThrowable() {}
  PersistableThrowable(Throwable e) {
    if (e == null)
      className = "Crazy Null Error";
    else {
      className = getClassName(e).replace('/', '.');
      msg = e.getMessage();
      stacktrace = getStackTrace_noRecord(e);
    }
  }
  
  public String toString() {
    return nempty(msg) ? className + ": " + msg : className;
  }
}static class RGB {
  public float r, g, b; // can't be final cause persistence
  
  RGB() {}
  
  public RGB(float r, float g, float b) {
    this.r = r;
    this.g = g;
    this.b = b;
  }

  public RGB(double r, double g, double b) {
    this.r = (float) r;
    this.g = (float) g;
    this.b = (float) b;
  }

  public RGB(int rgb) {
    this(new Color(rgb));
  }
  
  public RGB(double brightness) {
    this.r = this.g = this.b = max(0f, min(1f, (float) brightness));
  }

  public RGB(Color color) {
    this.r = color.getRed()/255f;
    this.g = color.getGreen()/255f;
    this.b = color.getBlue()/255f;
  }

  public RGB(String hex) {
    int i = l(hex)-6;
    r = Integer.parseInt(hex.substring(i, i+2), 16)/255f;
    g = Integer.parseInt(hex.substring(i+2, i+4), 16)/255f;
    b = Integer.parseInt(hex.substring(i+4, i+6), 16)/255f;
  }

  public float getComponent(int i) {
    return i == 0 ? r : i == 1 ? g : b;
  }

  public Color getColor() {
    return new Color(r, g, b);
  }

  public static RGB newSafe(float r, float g, float b) {
    return new RGB(Math.max(0, Math.min(1, r)), Math.max(0, Math.min(1, g)), Math.max(0, Math.min(1, b)));
  }

  int asInt() { return getColor().getRGB() & 0xFFFFFF; }
  int getInt() { return getColor().getRGB() & 0xFFFFFF; }

  public float getBrightness() {
    return (r+g+b)/3.0f;
  }

  public String getHexString() {
    return Integer.toHexString(asInt() | 0xFF000000).substring(2).toUpperCase();
  }

  @Override
  public boolean equals(Object o) {
    if (this == o) return true;
    if (!(o instanceof RGB)) return false;

    RGB rgb = (RGB) o;

    if (Float.compare(rgb.b, b) != 0) return false;
    if (Float.compare(rgb.g, g) != 0) return false;
    if (Float.compare(rgb.r, r) != 0) return false;

    return true;
  }

  @Override
  public int hashCode() {
    int result = (r != +0.0f ? Float.floatToIntBits(r) : 0);
    result = 31 * result + (g != +0.0f ? Float.floatToIntBits(g) : 0);
    result = 31 * result + (b != +0.0f ? Float.floatToIntBits(b) : 0);
    return result;
  }

  public boolean isBlack() {
    return r == 0f && g == 0f && b == 0f;
  }

  public boolean isWhite() {
    return r == 1f && g == 1f && b == 1f;
  }

  public String toString() {
    return getHexString();
  }
  
  int redInt() { return iround(r*255); }
  int greenInt() { return iround(g*255); }
  int blueInt() { return iround(b*255); }
}static class RGBImage implements MakesBufferedImage {
  transient BufferedImage bufferedImage;
  File file;
  int width, height;
  int[] pixels;

  RGBImage() {}

  RGBImage(BufferedImage image) {
    this(image, null);
  }

  RGBImage(BufferedImage image, File file) {
    this.file = file;
    bufferedImage = image;
    width = image.getWidth();
    height = image.getHeight();
    pixels = new int[width*height];
    PixelGrabber pixelGrabber = new PixelGrabber(image, 0, 0, width, height, pixels, 0, width);
    try {
      if (!pixelGrabber.grabPixels())
        throw new RuntimeException("Could not grab pixels");
      cleanPixels(); // set upper byte to 0
    } catch (InterruptedException e) {
      throw new RuntimeException(e);
    }
  }

  /** We assume it's a file name to load from */
  RGBImage(String file) throws IOException {
    this(new File(file));
  }

  RGBImage(Dimension size, Color color) {
    this(size.width, size.height, color);
  }

  RGBImage(Dimension size, RGB color) {
    this(size.width, size.height, color);
  }

  private void cleanPixels() {
    for (int i = 0; i < pixels.length; i++)
      pixels[i] &= 0xFFFFFF;
  }

  RGBImage(int width, int height, int[] pixels) {
    this.width = width;
    this.height = height;
    this.pixels = pixels;
  }

  RGBImage(int w, int h, RGB[] pixels) {
    this.width = w;
    this.height = h;
    this.pixels = asInts(pixels);
  }

  public static int[] asInts(RGB[] pixels) {
    int[] ints = new int[pixels.length];
    for (int i = 0; i < pixels.length; i++)
      ints[i] = pixels[i] == null ? 0 : pixels[i].getColor().getRGB();
    return ints;
  }

  public RGBImage(int w, int h) {
    this(w, h, Color.black);
  }
  
  RGBImage(int w, int h, RGB rgb) {
    this.width = w;
    this.height = h;
    this.pixels = new int[w*h];
    int col = rgb.asInt();
    if (col != 0)
      for (int i = 0; i < pixels.length; i++)
        pixels[i] = col;
  }

  RGBImage(RGBImage image) {
    this(image.width, image.height, copyPixels(image.pixels));
  }

  RGBImage(int width, int height, Color color) {
    this(width, height, new RGB(color));
  }

  RGBImage(File file) throws IOException {
    this(javax.imageio.ImageIO.read(file));
  }

  private static int[] copyPixels(int[] pixels) {
    int[] copy = new int[pixels.length];
    System.arraycopy(pixels, 0, copy, 0, pixels.length);
    return copy;
  }

  public int getIntPixel(int x, int y) {
    if (inRange(x, y))
      return pixels[y * width + x];
    else
      return 0xFFFFFF;
  }

  public static RGB asRGB(int packed) {
    int r = (packed >> 16) & 0xFF;
    int g = (packed >> 8) & 0xFF;
    int b = packed & 0xFF;
    return new RGB(r / 255f, g / 255f, b / 255f);
  }

  public RGB getRGB(int x, int y) {
    if (inRange(x, y))
      return asRGB(pixels[y * width + x]);
    else
      return new RGB(0xFFFFFF);
  }

  /** alias of getRGB - I kept typing getPixel instead of getRGB all the time, so I finally created it */
  RGB getPixel(int x, int y) {
    return getRGB(x, y);
  }
  
  RGB getPixel(Pt p) { return getPixel(p.x, p.y); }

  public int getWidth() { return width; }
  public int getHeight() { return height; }
  int w() { return width; }
  int h() { return height; }

  /** Attention: cached, i.e. does not change when image itself changes */
  /** @NotNull */
  public BufferedImage getBufferedImage() {
    if (bufferedImage == null) {
      bufferedImage = new BufferedImage(width, height, BufferedImage.TYPE_INT_RGB);
      //bufferedImage.setData(Raster.createRaster(new SampleModel()));
      for (int y = 0; y < height; y++)
        for (int x = 0; x < width; x++)
          bufferedImage.setRGB(x, y, pixels[y*width+x]);
    }
    return bufferedImage;
  }

  RGBImage clip(Rect r) {
    return r == null ? null : clip(r.getRectangle());
  }
  
  RGBImage clip(Rectangle r) {
    r = fixClipRect(r);
    if (r.x == 0 && r.y == 0 && r.width == width && r.height == height) return this;
    int[] newPixels;
    try {
      newPixels = new int[r.width*r.height];
    } catch (RuntimeException e) {
      System.out.println(r);
      throw e;
    }
    for (int y = 0; y < r.height; y++) {
      System.arraycopy(pixels, (y+r.y)*width+r.x, newPixels, y*r.width, r.width);
    }
    return new RGBImage(r.width, r.height, newPixels);
  }

  private Rectangle fixClipRect(Rectangle r) {
    r = r.intersection(new Rectangle(0, 0, width, height));
    if (r.isEmpty())
      r = new Rectangle(r.x, r.y, 0, 0);
    return r;
  }

  public File getFile() {
    return file;
  }

  /** can now also do GIF (not just JPEG) */
  public static RGBImage load(String fileName) {
    return load(new File(fileName));
  }

  /** can now also do GIF (not just JPEG) */
  public static RGBImage load(File file) {
    try {
      BufferedImage bufferedImage = javax.imageio.ImageIO.read(file);
      return new RGBImage(bufferedImage);
    } catch (IOException e) {
      throw new RuntimeException(e);
    }
  }

  public int getInt(int x, int y) {
    return pixels[y * width + x];
  }

  public void save(File file) throws IOException {
    String name = file.getName().toLowerCase();
    String type;
    if (name.endsWith(".png")) type = "png";
    else if (name.endsWith(".jpg") || name.endsWith(".jpeg")) type = "jpeg";
    else throw new IOException("Unknown image extension: " + name);
    javax.imageio.ImageIO.write(getBufferedImage(), type, file);
  }

  public static RGBImage dummyImage() {
    return new RGBImage(1, 1, new int[] {0xFFFFFF});
  }

  public int[] getPixels() {
    return pixels;
  }
  
  void setPixel(int x, int y, int r, int g, int b) {
    if (x >= 0 && y >= 0 && x < width && y < height)
      pixels[y*width+x] = (limitToUByte(r) << 16) | (limitToUByte(g) << 8) | limitToUByte(b);
  }

  public void setPixel(int x, int y, RGB rgb) {
    if (x >= 0 && y >= 0 && x < width && y < height)
      pixels[y*width+x] = rgb.asInt();
  }

  public void setPixel(int x, int y, Color color) {
    setPixel(x, y, new RGB(color));
  }
  
  void setInt(int x, int y, int rgb) {
    setPixel(x, y, rgb);
  }

  public void setPixel(int x, int y, int rgb) {
    if (x >= 0 && y >= 0 && x < width && y < height)
      pixels[y*width+x] = rgb;
  }
  
  void setPixel(Pt p, RGB rgb) { setPixel(p.x, p.y, rgb); }
  void setPixel(Pt p, Color color) { setPixel(p.x, p.y, color); }

  public RGBImage copy() {
    return new RGBImage(this);
  }

  public boolean inRange(int x, int y) {
    return x >= 0 && y >= 0 && x < width && y < height;
  }

  public Dimension getSize() {
    return new Dimension(width, height);
  }

  @Override
  public boolean equals(Object o) {
    if (this == o) return true;
    if (o == null || getClass() != o.getClass()) return false;

    RGBImage rgbImage = (RGBImage) o;

    if (height != rgbImage.height) return false;
    if (width != rgbImage.width) return false;
    if (!Arrays.equals(pixels, rgbImage.pixels)) return false;

    return true;
  }

  @Override
  public int hashCode() {
    int result = width;
    result = 31 * result + height;
    result = 31 * result + Arrays.hashCode(pixels);
    return result;
  }

  public String getHex(int x, int y) {
    return getPixel(x, y).getHexString();
  }

  public RGBImage clip(int x, int y, int width, int height) {
    return clip(new Rectangle(x, y, width, height));
  }

  public RGBImage clipLine(int y) {
    return clip(0, y, width, 1);
  }

  public int numPixels() {
    return width*height;
  }
}
// from http://www.jhlabs.com/ip/filters/download.html

/*
Copyright 2006 Jerry Huxtable

Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at

   http://www.apache.org/licenses/LICENSE-2.0

Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*/

/**
 * A filter which replcaes each pixel by the mimimum of itself and its eight neightbours.
 */
static class MinimumFilter extends WholeImageFilter {
  int hRadius;
  int vRadius;

  MinimumFilter() { this(1); }
  MinimumFilter(int radius) { hRadius = vRadius = radius; }
  MinimumFilter(int hRadius, int vRadius) {
  this.vRadius = vRadius;
  this.hRadius = hRadius;}
  
  protected int[] filterPixels( int width, int height, int[] inPixels, Rectangle transformedSpace ) {
    int index = 0;
    int[] outPixels = new int[width * height];
    int y1 = -vRadius/2, y2 = y1+vRadius;
    int x1 = -hRadius/2, x2 = x1+hRadius;

    for (int y = 0; y < height; y++) {
      for (int x = 0; x < width; x++) {
        int pixel = 0xffffffff;
        for (int dy = y1; dy <= y2; dy++) {
          int iy = y+dy;
          int ioffset;
          if (0 <= iy && iy < height) {
            ioffset = iy*width;
            for (int dx = x1; dx <= x2; dx++) {
              int ix = x+dx;
              if (0 <= ix && ix < width) {
                pixel = PixelUtils.combinePixels(pixel, inPixels[ioffset+ix], PixelUtils.MIN);
              }
            }
          }
        }
        outPixels[index++] = pixel;
      }
    }
    return outPixels;
  }
}static final class BWImage implements MakesBufferedImage, IBWImage {
  int width, height;
  byte[] pixels;

  // color returned when getPixel is called with a position outside the actual image
  float borderColor = 0.0f;
  
  // for unstructure()
  BWImage() {}

  // BLACK!
  BWImage(int width, int height) {
  this.height = height;
  this.width = width;
    pixels = new byte[width*height];
  }

  BWImage(int width, int height, float brightness) {
  this.height = height;
  this.width = width;
    pixels = new byte[width*height];
    fillArrayUnlessZero(pixels, _toByte(brightness));
  }
  
  BWImage(int width, int height, float[] pixels) {
    this.pixels = new byte[pixels.length];
  this.height = height;
  this.width = width;
    for (int i = 0; i < pixels.length; i++)
      this.pixels[i] = _toByte(pixels[i]);
  }

  public BWImage(int width, int height, byte[] pixels) {
    this.height = height;
    this.width = width;
    this.pixels = pixels;
  }

  public BWImage(BWImage image) {
    width = image.getWidth();
    height = image.getHeight();
    byte[] pixels = this.pixels = new byte[width*height];
    for (int y = 0; y < height; y++)
      for (int x = 0; x < width; x++)
        pixels[y*width+x] = image.getByte(x, y);
  }

  // TODO: optimize!
  BWImage(RGBImage image) {
    width = image.getWidth();
    height = image.getHeight();
    byte[] pixels = this.pixels = new byte[height*width];
    for (int y = 0; y < height; y++)
      for (int x = 0; x < width; x++) {
        RGB rgb = image.getRGB(x, y);
        pixels[y*width+x] = BWImage._toByte(rgb.getBrightness());
      }
  }

  /*public BWImage(BufferedImage image) {
    this(new RGBImage(image));
  }*/

  BWImage(BufferedImage image) { try {
 width = image.getWidth();
    height = image.getHeight();
    int[] pixels = new int[width*height];
    byte[] bytePixels = this.pixels = new byte[width*height];
    PixelGrabber pixelGrabber = new PixelGrabber(image, 0, 0, width, height, pixels, 0, width);
    if (!pixelGrabber.grabPixels())
      throw fail("Could not grab pixels");
    int n = width*height;
    
    for (int i = 0; i < n; i++) {
      //bytePixels[i] = pixelToByte(pixels[i]);
      int packed = pixels[i];
      /*float r = ((packed >> 16) & 0xFF)/255f;
      float g = ((packed >> 8) & 0xFF)/255f;
      float b = (packed & 0xFF)/255f;
      bytePixels[i] = (byte) iround((r+g+b)/3.0f*255f);*/
      int r = ((packed >> 16) & 0xFF);
      int g = ((packed >> 8) & 0xFF);
      int b = (packed & 0xFF);
      bytePixels[i] = (byte) ((r+g+b+1)/3);
    }
  } catch (Exception __e) { throw rethrow(__e); } }
  
  // TODO: does it exactly match the other method? (asRGB+getBrightness+_toByte)
  static byte pixelToByte(int packed) {
    /*int r = (packed >> 16) & 0xFF;
    int g = (packed >> 8) & 0xFF;
    int b = packed & 0xFF;
    ret (byte) ((r+g+b)/3.0f);*/
    float r = ((packed >> 16) & 0xFF)/255f;
    float g = ((packed >> 8) & 0xFF)/255f;
    float b = (packed & 0xFF)/255f;
    return (byte) ((r+g+b)/3.0f*255f);
  }

  public byte getByte(int x, int y) {
    return inRange(x, y) ? getByte_noRangeCheck(x, y) : _toByte(borderColor);
  }

  public double averageBrightness() {
    double sum = 0;
    for (int y = 0; y < height; y++)
      for (int x = 0; x < width; x++)
        sum += getPixel(x, y);
    return (sum/(double) (height*width));
  }

  public float minimumBrightness() {
    float min = 1;
    for (int y = 0; y < height; y++)
      for (int x = 0; x < width; x++)
        min = Math.min(min, getPixel(x, y));
    return min;
  }

  public float maximumBrightness() {
    float max = 0;
    for (int y = 0; y < height; y++)
      for (int x = 0; x < width; x++)
        max = Math.max(max, getPixel(x, y));
    return max;
  }

  float getPixel(int x, int y) {
    return inRange(x, y) ? _toFloat(getByte(x,y )) : borderColor;
  }
  
  public float getFloatPixel(int x, int y) { return getPixel(x, y); }
  
  float getPixel(Pt p) { return getPixel(p.x, p.y); }

  static byte _toByte(float pixel) {
    return (byte) (pixel*255f);
  }

  static float _toFloat(byte pixel) {
    return (((int) pixel) & 255)/255f;
  }

  private boolean inRange(int x, int y) {
    return x >= 0 && x < width && y >= 0 && y < height;
  }

  public int getWidth() { return width; }
  int w() { return width; }

  public int getHeight() { return height; }
  int h() { return height; }

  public RGBImage toRGB() {
    int[] rgbs = new int[width*height];
    for (int y = 0; y < height; y++)
      for (int x = 0; x < width; x++) {
        int b = getByte(x, y) & 0xFF;
        rgbs[y*width+x] = 0xFF000000 | b*0x010101;
      }
    return new RGBImage(width, height, rgbs);
  }
  
  public RGBImage toRGB_slow() {
    RGB[] rgbs = new RGB[width*height];
    for (int y = 0; y < height; y++)
      for (int x = 0; x < width; x++) {
        float p = getPixel(x, y);
        rgbs[y*width+x] = new RGB(p, p, p);
      }
    return new RGBImage(width, height, rgbs);
  }


  public BWImage clip(int x, int y, int w, int h) {
    return clip(new Rectangle(x, y, w, h));
  }

  private Rectangle fixClipRect(Rectangle r) {
    return r.intersection(new Rectangle(0, 0, width, height));
  }

  BWImage clip(Rect r) {
    return clip(r.getRectangle());
  }
  
  /** this should be multithread-safe */
  public BWImage clip(Rectangle r) {
    r = fixClipRect(r);
    byte[] newPixels = new byte[r.height*r.width];
    for (int y = 0; y < r.height; y++)
      for (int x = 0; x < r.width; x++)
        newPixels[y*r.width+x] = getByte(r.x+x, r.y+y);
    return new BWImage(r.width, r.height, newPixels);
  }

  public void setPixel(int x, int y, float brightness) {
    setByte(x, y, _toByte(fixPixel(brightness)));
  }
  
  // i = 0 to 255
  public void setInt(int x, int y, int i) {
    setByte(x, y, (byte) limitToUByte(i));
  }
  
  public void setByte(int x, int y, byte b) {
    if (x >= 0 && x < width && y >= 0 && y < height)
      pixels[y*width+x] = b;
  }

  byte getByte_noRangeCheck(int x, int y) {
    return pixels[y*width+x];
  }

  public void setByte(int x, int y, int brightness) {
    setByte(x, y, (byte) brightness);
  }

  private float fixPixel(float pixel) {
    return Math.max(0, Math.min(1, pixel));
  }

  public float getBorderColor() {
    return borderColor;
  }

  public void setBorderColor(float borderColor) {
    this.borderColor = borderColor;
  }

  public boolean anyPixelBrighterThan(double threshold) {
    for (int y = 0; y < height; y++)
      for (int x = 0; x < width; x++)
        if (getPixel(x, y) > threshold)
          return true;
    return false;
  }
  
  public BufferedImage getBufferedImage() {
    //ret toRGB().getBufferedImage();
    
    // TYPE_BYTE_GRAY is buggy - see #1015235
    BufferedImage bufferedImage = new BufferedImage(width, height, /*BufferedImage.TYPE_BYTE_GRAY*/BufferedImage.TYPE_INT_RGB);
    for (int y = 0; y < height; y++)
      for (int x = 0; x < width; x++) {
        int b = ((int) getByte(x, y) & 0xFF);
        bufferedImage.setRGB(x, y, b*0x010101);
      }
    return bufferedImage; 
  }
  
  byte[] getBytes() {
    return pixels;
  }
}static class Pair<A, B> implements Comparable<Pair<A, B>> {
  A a;
  B b;

  Pair() {}
  Pair(A a, B b) {
  this.b = b;
  this.a = a;}
  
  public int hashCode() {
    return hashCodeFor(a) + 2*hashCodeFor(b);
  }
  
  public boolean equals(Object o) {
    if (o == this) return true;
    if (!(o instanceof Pair)) return false;
    Pair t = (Pair) o;
    return eq(a, t.a) && eq(b, t.b);
  }
  
  public String toString() {
    return "<" + a + ", " + b + ">";
  }
  
  public int compareTo(Pair<A, B> p) {
    if (p == null) return 1;
    int i = ((Comparable<A>) a).compareTo(p.a);
    if (i != 0) return i;
    return ((Comparable<B>) b).compareTo(p.b);
  }
}

static interface IBWImage {
  int getWidth();
  int getHeight();
  float getFloatPixel(int x, int y);
}static class Pt {
  int x, y;
  
  Pt() {}
  Pt(Point p) {
    x = p.x;
    y = p.y;
  }
  Pt(int x, int y) {
  this.y = y;
  this.x = x;}
  
  Point getPoint() {
    return new Point(x, y);
  }
  
  public boolean equals(Object o) { return stdEq2(this, o); }
public int hashCode() { return stdHash2(this); }
  
  public String toString() {
    return x + ", " + y;
  }
}static interface IF1<A, B> {
  B get(A a);
}static interface IVF1<A> {
  void get(A a);
}

abstract static class AbstractBufferedImageOp implements BufferedImageOp, Cloneable {
    public BufferedImage createCompatibleDestImage(BufferedImage src, ColorModel dstCM) {
        if ( dstCM == null )
            dstCM = src.getColorModel();
        return new BufferedImage(dstCM, dstCM.createCompatibleWritableRaster(src.getWidth(), src.getHeight()), dstCM.isAlphaPremultiplied(), null);
    }
    
    public Rectangle2D getBounds2D( BufferedImage src ) {
        return new Rectangle(0, 0, src.getWidth(), src.getHeight());
    }
    
    public Point2D getPoint2D( Point2D srcPt, Point2D dstPt ) {
        if ( dstPt == null )
            dstPt = new Point2D.Double();
        dstPt.setLocation( srcPt.getX(), srcPt.getY() );
        return dstPt;
    }

    public RenderingHints getRenderingHints() {
        return null;
    }

	/**
	 * A convenience method for getting ARGB pixels from an image. This tries to avoid the performance
	 * penalty of BufferedImage.getRGB unmanaging the image.
     * @param image   a BufferedImage object
     * @param x       the left edge of the pixel block
     * @param y       the right edge of the pixel block
     * @param width   the width of the pixel arry
     * @param height  the height of the pixel arry
     * @param pixels  the array to hold the returned pixels. May be null.
     * @return the pixels
     * @see #setRGB
     */
	public int[] getRGB( BufferedImage image, int x, int y, int width, int height, int[] pixels ) {
		int type = image.getType();
		if ( type == BufferedImage.TYPE_INT_ARGB || type == BufferedImage.TYPE_INT_RGB )
			return (int [])image.getRaster().getDataElements( x, y, width, height, pixels );
		return image.getRGB( x, y, width, height, pixels, 0, width );
    }

	/**
	 * A convenience method for setting ARGB pixels in an image. This tries to avoid the performance
	 * penalty of BufferedImage.setRGB unmanaging the image.
     * @param image   a BufferedImage object
     * @param x       the left edge of the pixel block
     * @param y       the right edge of the pixel block
     * @param width   the width of the pixel arry
     * @param height  the height of the pixel arry
     * @param pixels  the array of pixels to set
     * @see #getRGB
	 */
	public void setRGB( BufferedImage image, int x, int y, int width, int height, int[] pixels ) {
		int type = image.getType();
		if ( type == BufferedImage.TYPE_INT_ARGB || type == BufferedImage.TYPE_INT_RGB )
			image.getRaster().setDataElements( x, y, width, height, pixels );
		else
			image.setRGB( x, y, width, height, pixels, 0, width );
    }

	public Object clone() {
		try {
			return super.clone();
		}
		catch ( CloneNotSupportedException e ) {
			return null;
		}
	}
}/*
Copyright 2006 Jerry Huxtable

Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at

   http://www.apache.org/licenses/LICENSE-2.0

Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*/

/**
 * Some more useful math functions for image processing.
 * These are becoming obsolete as we move to Java2D. Use MiscComposite instead.
 */
static class PixelUtils {
  public final static int REPLACE = 0;
  public final static int NORMAL = 1;
  public final static int MIN = 2;
  public final static int MAX = 3;
  public final static int ADD = 4;
  public final static int SUBTRACT = 5;
  public final static int DIFFERENCE = 6;
  public final static int MULTIPLY = 7;
  public final static int HUE = 8;
  public final static int SATURATION = 9;
  public final static int VALUE = 10;
  public final static int COLOR = 11;
  public final static int SCREEN = 12;
  public final static int AVERAGE = 13;
  public final static int OVERLAY = 14;
  public final static int CLEAR = 15;
  public final static int EXCHANGE = 16;
  public final static int DISSOLVE = 17;
  public final static int DST_IN = 18;
  public final static int ALPHA = 19;
  public final static int ALPHA_TO_GRAY = 20;

  private static Random randomGenerator = new Random();

  /**
   * Clamp a value to the range 0..255
   */
  static int _clamp(int c) {
    if (c < 0)
      return 0;
    if (c > 255)
      return 255;
    return c;
  }

  public static int interpolate(int v1, int v2, float f) {
    return _clamp((int)(v1+f*(v2-v1)));
  }
  
  public static int brightness(int rgb) {
    int r = (rgb >> 16) & 0xff;
    int g = (rgb >> 8) & 0xff;
    int b = rgb & 0xff;
    return (r+g+b)/3;
  }
  
  public static boolean nearColors(int rgb1, int rgb2, int tolerance) {
    int r1 = (rgb1 >> 16) & 0xff;
    int g1 = (rgb1 >> 8) & 0xff;
    int b1 = rgb1 & 0xff;
    int r2 = (rgb2 >> 16) & 0xff;
    int g2 = (rgb2 >> 8) & 0xff;
    int b2 = rgb2 & 0xff;
    return Math.abs(r1-r2) <= tolerance && Math.abs(g1-g2) <= tolerance && Math.abs(b1-b2) <= tolerance;
  }
  
  private final static float hsb1[] = new float[3];//FIXME-not thread safe
  private final static float hsb2[] = new float[3];//FIXME-not thread safe
  
  // Return rgb1 painted onto rgb2
  public static int combinePixels(int rgb1, int rgb2, int op) {
    return combinePixels(rgb1, rgb2, op, 0xff);
  }
  
  public static int combinePixels(int rgb1, int rgb2, int op, int extraAlpha, int channelMask) {
    return (rgb2 & ~channelMask) | combinePixels(rgb1 & channelMask, rgb2, op, extraAlpha);
  }
  
  public static int combinePixels(int rgb1, int rgb2, int op, int extraAlpha) {
    if (op == REPLACE)
      return rgb1;
    int a1 = (rgb1 >> 24) & 0xff;
    int r1 = (rgb1 >> 16) & 0xff;
    int g1 = (rgb1 >> 8) & 0xff;
    int b1 = rgb1 & 0xff;
    int a2 = (rgb2 >> 24) & 0xff;
    int r2 = (rgb2 >> 16) & 0xff;
    int g2 = (rgb2 >> 8) & 0xff;
    int b2 = rgb2 & 0xff;

    switch (op) {
    case NORMAL:
      break;
    case MIN:
      r1 = Math.min(r1, r2);
      g1 = Math.min(g1, g2);
      b1 = Math.min(b1, b2);
      break;
    case MAX:
      r1 = Math.max(r1, r2);
      g1 = Math.max(g1, g2);
      b1 = Math.max(b1, b2);
      break;
    case ADD:
      r1 = _clamp(r1+r2);
      g1 = _clamp(g1+g2);
      b1 = _clamp(b1+b2);
      break;
    case SUBTRACT:
      r1 = _clamp(r2-r1);
      g1 = _clamp(g2-g1);
      b1 = _clamp(b2-b1);
      break;
    case DIFFERENCE:
      r1 = _clamp(Math.abs(r1-r2));
      g1 = _clamp(Math.abs(g1-g2));
      b1 = _clamp(Math.abs(b1-b2));
      break;
    case MULTIPLY:
      r1 = _clamp(r1*r2/255);
      g1 = _clamp(g1*g2/255);
      b1 = _clamp(b1*b2/255);
      break;
    case DISSOLVE:
      if ((randomGenerator.nextInt() & 0xff) <= a1) {
        r1 = r2;
        g1 = g2;
        b1 = b2;
      }
      break;
    case AVERAGE:
      r1 = (r1+r2)/2;
      g1 = (g1+g2)/2;
      b1 = (b1+b2)/2;
      break;
    case HUE:
    case SATURATION:
    case VALUE:
    case COLOR:
      Color.RGBtoHSB(r1, g1, b1, hsb1);
      Color.RGBtoHSB(r2, g2, b2, hsb2);
      switch (op) {
      case HUE:
        hsb2[0] = hsb1[0];
        break;
      case SATURATION:
        hsb2[1] = hsb1[1];
        break;
      case VALUE:
        hsb2[2] = hsb1[2];
        break;
      case COLOR:
        hsb2[0] = hsb1[0];
        hsb2[1] = hsb1[1];
        break;
      }
      rgb1 = Color.HSBtoRGB(hsb2[0], hsb2[1], hsb2[2]);
      r1 = (rgb1 >> 16) & 0xff;
      g1 = (rgb1 >> 8) & 0xff;
      b1 = rgb1 & 0xff;
      break;
    case SCREEN:
      r1 = 255 - ((255 - r1) * (255 - r2)) / 255;
      g1 = 255 - ((255 - g1) * (255 - g2)) / 255;
      b1 = 255 - ((255 - b1) * (255 - b2)) / 255;
      break;
    case OVERLAY:
      int m, s;
      s = 255 - ((255 - r1) * (255 - r2)) / 255;
      m = r1 * r2 / 255;
      r1 = (s * r1 + m * (255 - r1)) / 255;
      s = 255 - ((255 - g1) * (255 - g2)) / 255;
      m = g1 * g2 / 255;
      g1 = (s * g1 + m * (255 - g1)) / 255;
      s = 255 - ((255 - b1) * (255 - b2)) / 255;
      m = b1 * b2 / 255;
      b1 = (s * b1 + m * (255 - b1)) / 255;
      break;
    case CLEAR:
      r1 = g1 = b1 = 0xff;
      break;
    case DST_IN:
      r1 = _clamp((r2*a1)/255);
      g1 = _clamp((g2*a1)/255);
      b1 = _clamp((b2*a1)/255);
      a1 = _clamp((a2*a1)/255);
      return (a1 << 24) | (r1 << 16) | (g1 << 8) | b1;
    case ALPHA:
      a1 = a1*a2/255;
      return (a1 << 24) | (r2 << 16) | (g2 << 8) | b2;
    case ALPHA_TO_GRAY:
      int na = 255-a1;
      return (a1 << 24) | (na << 16) | (na << 8) | na;
    }
    if (extraAlpha != 0xff || a1 != 0xff) {
      a1 = a1*extraAlpha/255;
      int a3 = (255-a1)*a2/255;
      r1 = _clamp((r1*a1+r2*a3)/255);
      g1 = _clamp((g1*a1+g2*a3)/255);
      b1 = _clamp((b1*a1+b2*a3)/255);
      a1 = _clamp(a1+a3);
    }
    return (a1 << 24) | (r1 << 16) | (g1 << 8) | b1;
  }

}static interface MakesBufferedImage {
  BufferedImage getBufferedImage();
  int getWidth();
  int getHeight();
}/*
Copyright 2006 Jerry Huxtable

Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at

   http://www.apache.org/licenses/LICENSE-2.0

Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*/

/**
 * A filter which acts as a superclass for filters which need to have the whole image in memory
 * to do their stuff.
 */
static abstract class WholeImageFilter extends AbstractBufferedImageOp implements IF1<BufferedImage, BufferedImage> {

  /**
     * The output image bounds.
     */
    protected Rectangle transformedSpace;

  /**
     * The input image bounds.
     */
  protected Rectangle originalSpace;
  
  /**
   * Construct a WholeImageFilter.
   */
  public WholeImageFilter() {
  }

  public BufferedImage get(BufferedImage src) {
    return filter(src, null);
  }

    public BufferedImage filter( BufferedImage src, BufferedImage dst ) {
        int width = src.getWidth();
        int height = src.getHeight();
    int type = src.getType();
    WritableRaster srcRaster = src.getRaster();

    originalSpace = new Rectangle(0, 0, width, height);
    transformedSpace = new Rectangle(0, 0, width, height);
    transformSpace(transformedSpace);

        if ( dst == null ) {
            ColorModel dstCM = src.getColorModel();
      dst = new BufferedImage(dstCM, dstCM.createCompatibleWritableRaster(transformedSpace.width, transformedSpace.height), dstCM.isAlphaPremultiplied(), null);
    }
    WritableRaster dstRaster = dst.getRaster();

    int[] inPixels = getRGB( src, 0, 0, width, height, null );
    inPixels = filterPixels( width, height, inPixels, transformedSpace );
    setRGB( dst, 0, 0, transformedSpace.width, transformedSpace.height, inPixels );

        return dst;
    }

  /**
     * Calculate output bounds for given input bounds.
     * @param rect input and output rectangle
     */
  protected void transformSpace(Rectangle rect) {
  }
  
  /**
     * Actually filter the pixels.
     * @param width the image width
     * @param height the image height
     * @param inPixels the image pixels
     * @param transformedSpace the output bounds
     * @return the output pixels
     */
  protected abstract int[] filterPixels( int width, int height, int[] inPixels, Rectangle transformedSpace );
}


static boolean reflection_isForbiddenMethod(Method m) {
  return m.getDeclaringClass() == Object.class
    && eqOneOf(m.getName(), "finalize", "clone", "registerNatives");
}
static Field makeAccessible(Field f) {
  f.setAccessible(true);
  return f;
}

static Method makeAccessible(Method m) {
  m.setAccessible(true);
  return m;
}
static Set<Class> allInterfacesImplementedBy(Class c) {
  if (c == null) return null;
  HashSet<Class> set = new HashSet();
  allInterfacesImplementedBy_find(c, set);
  return set;
}

static void allInterfacesImplementedBy_find(Class c, Set<Class> set) {
  if (c.isInterface() && !set.add(c)) return;
  do {
    for (Class intf : c.getInterfaces())
      allInterfacesImplementedBy_find(intf, set);
  } while ((c = c.getSuperclass()) != null);
}
static Method findMethod(Object o, String method, Object... args) {
  return findMethod_cached(o, method, args);
}

static boolean findMethod_checkArgs(Method m, Object[] args, boolean debug) {
  Class<?>[] types = m.getParameterTypes();
  if (types.length != args.length) {
    if (debug)
      System.out.println("Bad parameter length: " + args.length + " vs " + types.length);
    return false;
  }
  for (int i = 0; i < types.length; i++)
    if (!(args[i] == null || isInstanceX(types[i], args[i]))) {
      if (debug)
        System.out.println("Bad parameter " + i + ": " + args[i] + " vs " + types[i]);
      return false;
    }
  return true;
}
static Method findStaticMethod(Class c, String method, Object... args) {
  Class _c = c;
  while (c != null) {
    for (Method m : c.getDeclaredMethods()) {
      if (!m.getName().equals(method))
        continue;

      if ((m.getModifiers() & Modifier.STATIC) == 0 || !findStaticMethod_checkArgs(m, args))
        continue;

      return m;
    }
    c = c.getSuperclass();
  }
  return null;
}

static boolean findStaticMethod_checkArgs(Method m, Object[] args) {
  Class<?>[] types = m.getParameterTypes();
  if (types.length != args.length)
    return false;
  for (int i = 0; i < types.length; i++)
    if (!(args[i] == null || isInstanceX(types[i], args[i])))
      return false;
  return true;
}

static boolean stdEq2(Object a, Object b) {
  if (a == null) return b == null;
  if (b == null) return false;
  if (a.getClass() != b.getClass()) return false;
  for (String field : allFields(a))
    if (neq(getOpt(a, field), getOpt(b, field)))
      return false;
  return true;
}
static int stdHash2(Object a) {
  if (a == null) return 0;
  return stdHash(a, toStringArray(allFields(a)));
}
static boolean contains(Collection c, Object o) {
  return c != null && c.contains(o);
}

static boolean contains(Object[] x, Object o) {
  if (x != null)
    for (Object a : x)
      if (eq(a, o))
        return true;
  return false;
}

static boolean contains(String s, char c) {
  return s != null && s.indexOf(c) >= 0;
}

static boolean contains(String s, String b) {
  return s != null && s.indexOf(b) >= 0;
}

static boolean contains(BitSet bs, int i) {
  return bs != null && bs.get(i);
}
// get purpose 1: access a list/array/map (safer version of x.get(y))

static <A> A get(List<A> l, int idx) {
  return l != null && idx >= 0 && idx < l(l) ? l.get(idx) : null;
}

// seems to conflict with other signatures
/*static <A, B> B get(Map<A, B> map, A key) {
  ret map != null ? map.get(key) : null;
}*/

static <A> A get(A[] l, int idx) {
  return idx >= 0 && idx < l(l) ? l[idx] : null;
}

// default to false
static boolean get(boolean[] l, int idx) {
  return idx >= 0 && idx < l(l) ? l[idx] : false;
}

// get purpose 2: access a field by reflection or a map

static Object get(Object o, String field) {
  try {
    if (o == null) return null;
    if (o instanceof Class) return get((Class) o, field);
    
    if (o instanceof Map)
      return ((Map) o).get(field);
      
    Field f = getOpt_findField(o.getClass(), field);
    if (f != null) {
      f.setAccessible(true);
      return f.get(o);
    }
      
    
  } catch (Exception e) {
    throw asRuntimeException(e);
  }
  throw new RuntimeException("Field '" + field + "' not found in " + o.getClass().getName());
}

static Object get_raw(String field, Object o) {
  return get_raw(o, field);
}

static Object get_raw(Object o, String field) { try {
  if (o == null) return null;
  Field f = get_findField(o.getClass(), field);
  f.setAccessible(true);
  return f.get(o);
} catch (Exception __e) { throw rethrow(__e); } }

static Object get(Class c, String field) {
  try {
    Field f = get_findStaticField(c, field);
    f.setAccessible(true);
    return f.get(null);
  } catch (Exception e) {
    throw new RuntimeException(e);
  }
}

static Field get_findStaticField(Class<?> c, String field) {
  Class _c = c;
  do {
    for (Field f : _c.getDeclaredFields())
      if (f.getName().equals(field) && (f.getModifiers() & java.lang.reflect.Modifier.STATIC) != 0)
        return f;
    _c = _c.getSuperclass();
  } while (_c != null);
  throw new RuntimeException("Static field '" + field + "' not found in " + c.getName());
}

static Field get_findField(Class<?> c, String field) {
  Class _c = c;
  do {
    for (Field f : _c.getDeclaredFields())
      if (f.getName().equals(field))
        return f;
    _c = _c.getSuperclass();
  } while (_c != null);
  throw new RuntimeException("Field '" + field + "' not found in " + c.getName());
}

static Object get(String field, Object o) {
  return get(o, field);
}
static <A> List<A> filter(Iterable<A> c, Object pred) {
  if (pred instanceof F1) return filter(c, (F1<A, Boolean>) pred);

  
  List x = new ArrayList();
  if (c != null) for (Object o : c)
    if (isTrue(callF(pred, o)))
      x.add(o);
  return x;
}

static List filter(Object pred, Iterable c) {
  return filter(c, pred);
}

static <A, B extends A> List<B> filter(Iterable<B> c, F1<A, Boolean> pred) {
  List x = new ArrayList();
  if (c != null) for (B o : c)
    if (pred.get(o))
      x.add(o);
  return x;
}

static <A, B extends A> List<B> filter(F1<A, Boolean> pred, Iterable<B> c) {
  return filter(c, pred);
}

//ifclass IF1
static <A, B extends A> List<B> filter(Iterable<B> c, IF1<A, Boolean> pred) {
  List x = new ArrayList();
  if (c != null) for (B o : c)
    if (pred.get(o))
      x.add(o);
  return x;
}

static <A, B extends A> List<B> filter(IF1<A, Boolean> pred, Iterable<B> c) {
  return filter(c, pred);
}
//endif
static float clamp(float x, float a, float b) {
  return x < a ? a : x > b ? b : x;
}

static double clamp(double x, double a, double b) {
  return x < a ? a : x > b ? b : x;
}

static int clamp(int x, int a, int b) {
  return x < a ? a : x > b ? b : x;
}
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(Map m) {
  return !empty(m);
}

static boolean nempty(Iterator i) {
  return i != null && i.hasNext();
}

static boolean nempty(Object o) { return !empty(o); }
static int max(int a, int b) { return Math.max(a, b); }
static int max(int a, int b, int c) { return max(max(a, b), c); }
static long max(int a, long b) { return Math.max((long) a, b); }
static long max(long a, long b) { return Math.max(a, b); }
static double max(int a, double b) { return Math.max((double) a, b); }
static float max(float a, float b) { return Math.max(a, b); }
static double max(double a, double b) { return Math.max(a, b); }

static int max(Collection<Integer> c) {
  int x = Integer.MIN_VALUE;
  for (int i : c) x = max(x, i);
  return x;
}

static double max(double[] c) {
  if (c.length == 0) return Double.MIN_VALUE;
  double x = c[0];
  for (int i = 1; i < c.length; i++) x = Math.max(x, c[i]);
  return x;
}

static float max(float[] c) {
  if (c.length == 0) return Float.MAX_VALUE;
  float x = c[0];
  for (int i = 1; i < c.length; i++) x = Math.max(x, c[i]);
  return x;
}

static byte max(byte[] c) {
  byte x = -128;
  for (byte d : c) if (d > x) x = d;
  return x;
}

static short max(short[] c) {
  short x = -0x8000;
  for (short d : c) if (d > x) x = d;
  return x;
}

static int max(int[] c) {
  int x = Integer.MIN_VALUE;
  for (int d : c) if (d > x) x = d;
  return x;
}
static int asInt(Object o) {
  return toInt(o);
}
static int iround(double d) {
  return (int) Math.round(d);
}

static int iround(Number n) {
  return iround(toDouble(n));
}
static boolean inRange(int x, int n) {
  return x >= 0 && x < n;
}

static boolean inRange(int x, int a, int b) {
  return x >= a && x < b;
}
static int limitToUByte(int i) {
  return max(0, min(255, i));
}
static Class<?> getClass(String name) {
  try {
    return Class.forName(name);
  } catch (ClassNotFoundException e) {
    return null;
  }
}

static Class getClass(Object o) {
  return o instanceof Class ? (Class) o : o.getClass();
}

static Class getClass(Object realm, String name) { try {
  try {
    return getClass(realm).getClassLoader().loadClass(classNameToVM(name));
  } catch (ClassNotFoundException e) {
    return null;
  }
} catch (Exception __e) { throw rethrow(__e); } }
static void fillArrayUnlessZero(byte[] a, byte value) {
  if (value != 0) Arrays.fill(a, value);
}

static void fillArrayUnlessZero(int[] a, int value) {
  if (value != 0) Arrays.fill(a, value);
}

static void fillArrayUnlessZero(float[] a, float value) {
  if (value != 0) Arrays.fill(a, value);
}
static double averageBrightness(BufferedImage img) {
  return new BWImage(img).averageBrightness();
}
static int hashCodeFor(Object a) {
  return a == null ? 0 : a.hashCode();
}


static boolean eqOneOf(Object o, Object... l) {
  for (Object x : l) if (eq(o, x)) return true; return false;
}
static Method findMethod_cached(Object o, String method, Object... args) { try {
  if (o == null) return null;
  if (o instanceof Class) {
    _MethodCache cache = callOpt_getCache(((Class) o));
    List<Method> methods = cache.cache.get(method);
    if (methods != null) for (Method m : methods)
      if (isStaticMethod(m) && findMethod_checkArgs(m, args, false))
        return m;
    return null;
  } else {
    _MethodCache cache = callOpt_getCache(o.getClass());
    List<Method> methods = cache.cache.get(method);
    if (methods != null) for (Method m : methods)
      if (findMethod_checkArgs(m, args, false))
        return m;
    return null;
  }
} catch (Exception __e) { throw rethrow(__e); } }

static Set<String> allFields(Object o) {
  TreeSet<String> fields = new TreeSet();
  Class _c = _getClass(o);
  do {
    for (Field f : _c.getDeclaredFields())
      fields.add(f.getName());
    _c = _c.getSuperclass();
  } while (_c != null);
  return fields;
}
static int stdHash(Object a, String... fields) {
  if (a == null) return 0;
  int hash = getClassName(a).hashCode();
  for (String field : fields)
    hash = hash*2+hashCode(getOpt(a, field));
  return hash;
}
static String[] toStringArray(Collection<String> c) {
  String[] a = new String[l(c)];
  Iterator<String> it = c.iterator();
  for (int i = 0; i < l(a); i++)
    a[i] = it.next();
  return a;
}

static String[] toStringArray(Object o) {
  if (o instanceof String[])
    return (String[]) o;
  else if (o instanceof Collection)
    return toStringArray((Collection<String>) o);
  else
    throw fail("Not a collection or array: " + getClassName(o));
}

static int toInt(Object o) {
  if (o == null) return 0;
  if (o instanceof Number)
    return ((Number) o).intValue();
  if (o instanceof String)
    return parseInt((String) o);
  throw fail("woot not int: " + getClassName(o));
}

static int toInt(long l) {
  if (l != (int) l) throw fail("Too large for int: " + l);
  return (int) l;
}
static double toDouble(Object o) {
  if (o instanceof Number)
    return ((Number) o).doubleValue();
  if (o instanceof BigInteger)
    return ((BigInteger) o).doubleValue();
  if (o == null) return 0.0;
  throw fail(o);
}
static String classNameToVM(String name) {
  return name.replace(".", "$");
}


static Class<?> _getClass(String name) {
  try {
    return Class.forName(name);
  } catch (ClassNotFoundException e) {
    return null; // could optimize this
  }
}

static Class _getClass(Object o) {
  return o == null ? null
    : o instanceof Class ? (Class) o : o.getClass();
}

static Class _getClass(Object realm, String name) {
  try {
    return getClass(realm).getClassLoader().loadClass(classNameToVM(name));
  } catch (ClassNotFoundException e) {
    return null; // could optimize this
  }
}
static int hashCode(Object a) {
  return a == null ? 0 : a.hashCode();
}
static int parseInt(String s) {
  return empty(s) ? 0 : Integer.parseInt(s);
}

static int parseInt(char c) {
  return Integer.parseInt(str(c));
}


static abstract class F1<A, B> {
  abstract B get(A a);
}
}