import java.util.*;
import java.util.zip.*;
import java.util.List;
import java.util.regex.*;
import java.util.concurrent.*;
import java.util.concurrent.atomic.*;
import java.util.concurrent.locks.*;
import java.util.function.*;
import javax.swing.*;
import javax.swing.event.*;
import javax.swing.text.*;
import javax.swing.table.*;
import java.io.*;
import java.net.*;
import java.lang.reflect.*;
import java.lang.ref.*;
import java.lang.management.*;
import java.security.*;
import java.security.spec.*;
import java.awt.*;
import java.awt.event.*;
import java.awt.image.*;
import java.awt.geom.*;
import javax.imageio.*;
import java.math.*;
import java.awt.geom.*;
import static x30_pkg.x30_util.DynamicObject;
class main {
interface IRecognizedRegion extends IRecognizedBox {
IImageRegion region();
default Rect bounds() { return region().bounds(); }
}
final static class Rect implements IFieldsToList{
static final String _fieldOrder = "x y w h";
int x;
int y;
int w;
int h;
Rect() {}
Rect(int x, int y, int w, int h) {
this.h = h;
this.w = w;
this.y = y;
this.x = x;}
public boolean equals(Object o) {
if (!(o instanceof Rect)) return false;
Rect __1 = (Rect) o;
return x == __1.x && y == __1.y && w == __1.w && h == __1.h;
}
public int hashCode() {
int h = 2543108;
h = boostHashCombine(h, _hashCode(x));
h = boostHashCombine(h, _hashCode(y));
h = boostHashCombine(h, _hashCode(w));
h = boostHashCombine(h, _hashCode(h));
return h;
}
public Object[] _fieldsToList() { return new Object[] {x, y, w, h}; }
Rect(Rectangle r) {
x = r.x;
y = r.y;
w = r.width;
h = r.height;
}
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 String toString() {
return x + "," + y + " / " + w + "," + h;
}
int x1() { return x; }
int y1() { return y; }
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 contains(Rectangle r) {
return rectContains(this, r);
}
boolean empty() { return w <= 0 || h <= 0; }
int getWidth() { return w; }
int getHeight() { return h; }
}
interface IRecognizedBox {
default public Rect bounds() { return null; }
//default public IImageRegion region() { null; }
default public String label() { return null; }
default public double confidence() { return 1.0; }
}
interface IImageRegion {
// get whole image that the region refers to
public default Img image() { return null; }
// which object made this
public Object creator();
public default int indexInCreator() { return 0; }
// smallest rectangle that all of the region's pixels are contained in
public Rect bounds();
public int numberOfPixels();
public Pt firstPixel();
public Iterator pixelIterator();
public boolean contains(int x, int y);
// gets the region's color (what exactly this means is defined
// by the crea)
public RGB color();
public int brightness();
}
static interface IFieldsToList {
Object[] _fieldsToList();
}
static class Pt implements Comparable, IDoublePt {
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 o instanceof Pt && x == ((Pt) o).x && y == ((Pt) o).y;
}
public int hashCode() {
return boostHashCombine(x, y);
}
// compare in scan order
public int compareTo(Pt p) {
if (y != p.y) return cmp(y, p.y);
return cmp(x, p.x);
}
public String toString() {
return x + ", " + y;
}
double length() { return sqrt(x*x+y*y); }
Pt minus(Pt p) { return ptMinus(this, p); }
public double x_double() { return x; }
public double y_double() { return y; }
}
static class RGB {
// usually in range [0, 1]
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(double[] rgb) {
this(rgb[0], rgb[1], rgb[2]);
}
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;
}
// TODO: 3-char version
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 int getInt(int i) {
return i == 0 ? redInt() : i == 1 ? greenInt() : blueInt();
}
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; }
int asIntWithAlpha() { return rgbInt(redInt(), greenInt(), blueInt()) | 0xFF000000; }
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 float brightnessToFloat(int brightness) { return brightness/255f; }
}
static interface WidthAndHeight {
default int w(){ return getWidth(); }
int getWidth();
default int h(){ return getHeight(); }
int getHeight();
public default Rect bounds() { return rect(0, 0, getWidth(), getHeight()); }
}
interface IDoublePt {
public double x_double();
public double y_double();
}
static int boostHashCombine(int a, int b) {
return a ^ (b + 0x9e3779b9 + (a << 6) + (a >> 2));
}
static int _hashCode(Object a) {
return a == null ? 0 : a.hashCode();
}
static boolean contains(Collection c, Object o) {
return c != null && c.contains(o);
}
static boolean contains(Iterable it, Object a) {
if (it != null)
for (Object o : it)
if (eq(a, o))
return true;
return false;
}
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);
}
static boolean contains(Rect r, Pt p) { return rectContains(r, p); }
static boolean rectContains(int x1, int y1, int w, int h, Pt p) {
return p.x >= x1 && p.y >= y1 && p.x < x1+w && p.y < y1+h;
}
static boolean rectContains(Rect a, Rect b) {
return b.x >= a.x && b.y >= a.y && b.x2() <= a.x2() && b.y2() <= a.y2();
}
static boolean rectContains(Rect a, Rectangle b) {
return rectContains(a, toRect(b));
}
static boolean rectContains(Rect a, int x, int y) {
return a != null && a.contains(x, y);
}
static boolean rectContains(Rect a, Pt p) {
return a != null && p != null && a.contains(p);
}
static int cmp(Number a, Number b) {
return a == null ? b == null ? 0 : -1 : cmp(a.doubleValue(), b.doubleValue());
}
static int cmp(double a, double b) {
return a < b ? -1 : a == b ? 0 : 1;
}
static int cmp(int a, int b) {
return a < b ? -1 : a == b ? 0 : 1;
}
static int cmp(long a, long b) {
return a < b ? -1 : a == b ? 0 : 1;
}
static int cmp(Object a, Object b) {
if (a == null) return b == null ? 0 : -1;
if (b == null) return 1;
return ((Comparable) a).compareTo(b);
}
static double sqrt(double x) {
return Math.sqrt(x);
}
static List minus(Collection a, Object... b) {
Set set = asSet(b);
List l = new ArrayList();
for (Object s : unnull(a))
if (!set.contains(s))
l.add(s);
return l;
}
static BigInteger minus(BigInteger a, BigInteger b) {
return a.subtract(b);
}
static Complex minus(Complex c) {
return c == null ? null : complex(-c.re(), -c.im());
}
static int minus(int a, int b) {
return a-b;
}
static Pt ptMinus(Pt a, Pt b) {
if (b == null) return a;
return new Pt(a.x-b.x, a.y-b.y);
}
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 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 > A max(A a, A b) {
return cmp(a, b) >= 0 ? a : b;
}
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 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 int rgbInt(int r, int g, int b) {
return (clamp(r, 0, 255) << 16) | (clamp(g, 0, 255) << 8) | clamp(b, 0, 255);
}
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 int getWidth(Component c) {
return c == null ? 0 : (int) swingCall(c, "getWidth");
}
static int getHeight(Component c) {
return c == null ? 0 : (int) swingCall(c, "getHeight");
}
static Rect rect(int x, int y, int w, int h) {
return new Rect(x, y, w, h);
}
static Rect rect(Pt p, int w, int h) {
return new Rect(p.x, p.y, w, h);
}
static Rect rect(int w, int h) {
return new Rect(0, 0, w, h);
}
static boolean eq(Object a, Object b) {
return a == b || a != null && b != null && a.equals(b);
}
// a little kludge for stuff like eq(symbol, "$X")
static boolean eq(Symbol a, String b) {
return eq(str(a), b);
}
static Rect toRect(Rectangle r) {
return r == null ? null : new Rect(r);
}
static Rect toRect(RectangularShape r) {
return r == null ? null : toRect(r.getBounds());
}
static Rect toRect(Rect r) { return r; }
static Set asSet(Object[] array) {
HashSet set = new HashSet();
for (Object o : array)
if (o != null)
set.add(o);
return set;
}
static Set asSet(String[] array) {
TreeSet set = new TreeSet();
for (String o : array)
if (o != null)
set.add(o);
return set;
}
static Set asSet(Iterable l) {
if (l instanceof Set) return (Set) l;
HashSet set = new HashSet();
for (A o : unnull(l))
if (o != null)
set.add(o);
return set;
}
static String unnull(String s) {
return s == null ? "" : s;
}
static Collection unnull(Collection l) {
return l == null ? emptyList() : l;
}
static List unnull(List l) { return l == null ? emptyList() : l; }
static int[] unnull(int[] l) { return l == null ? emptyIntArray() : l; }
static char[] unnull(char[] l) { return l == null ? emptyCharArray() : l; }
static double[] unnull(double[] l) { return l == null ? emptyDoubleArray() : l; }
static Map unnull(Map l) {
return l == null ? emptyMap() : l;
}
static Iterable unnull(Iterable i) {
return i == null ? emptyList() : i;
}
static A[] unnull(A[] a) {
return a == null ? (A[]) emptyObjectArray() : a;
}
static BitSet unnull(BitSet b) {
return b == null ? new BitSet() : b;
}
static Pt unnull(Pt p) {
return p == null ? new Pt() : p;
}
//ifclass Symbol
static Symbol unnull(Symbol s) {
return s == null ? emptySymbol() : s;
}
//endif
static Pair unnull(Pair p) {
return p != null ? p : new Pair(null, null);
}
static int unnull(Integer i) { return i == null ? 0 : i; }
static long unnull(Long l) { return l == null ? 0L : l; }
static double unnull(Double l) { return l == null ? 0.0 : l; }
static Complex complex(double re, double im) {
return new Complex(re, im);
}
static Complex complex(double re) {
return new Complex(re, 0.0);
}
static Complex complex(double[] reIm) {
if (empty(reIm)) return null;
if (l(reIm) != 2) throw fail("Need 2 doubles to make complex number");
return complex(reIm[0], reIm[1]);
}
static int iteratorCount_int_close(Iterator 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 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 long clamp(long x, long a, long b) {
return x < a ? a : x > b ? b : x;
}
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);
if (o instanceof Boolean)
return boolToInt((Boolean) 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 instanceof String)
return parseDouble((String) o);
if (o == null) return 0.0;
throw fail(o);
}
static Object swingCall(final Object o, final String method, final Object... args) {
return swing(new F0