import java.util.*; import java.util.zip.*; import java.util.List; import java.util.regex.*; import java.util.concurrent.*; import java.util.concurrent.atomic.*; import java.util.concurrent.locks.*; import java.util.function.*; import javax.swing.*; import javax.swing.event.*; import javax.swing.text.*; import javax.swing.table.*; import java.io.*; import java.net.*; import java.lang.reflect.*; import java.lang.ref.*; import java.lang.management.*; import java.security.*; import java.security.spec.*; import java.awt.*; import java.awt.event.*; import java.awt.image.*; import java.awt.geom.*; import javax.imageio.*; import java.math.*; import java.time.Duration; import java.lang.invoke.VarHandle; import java.lang.invoke.MethodHandles; class main { static Object[] resizeArray(Object[] a, int n) { if (n == l(a)) return a; Object[] b = new Object[n]; arraycopy(a, 0, b, 0, min(l(a), n)); return b; } static double[] resizeArray(double[] a, int n) { if (n == l(a)) return a; double[] b = new double[n]; arraycopy(a, 0, b, 0, min(l(a), n)); return b; } 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 void arraycopy(Object[] a, Object[] b) { if (a != null && b != null) arraycopy(a, 0, b, 0, Math.min(a.length, b.length)); } static void arraycopy(Object src, int srcPos, int destPos, int n) { arraycopy(src, srcPos, src, destPos, n); } static void arraycopy(Object src, int srcPos, Object dest, int destPos, int n) { if (n != 0) System.arraycopy(src, srcPos, dest, destPos, n); } 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 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 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 void _handleError(Error e) { //call(javax(), '_handleError, e); } }