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.*; class main { static Pt neg(Pt p) { return p == null ? null : new Pt(-p.x, -p.y); } static class Pt implements Comparable { 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; } } static int boostHashCombine(int a, int b) { return a ^ (b + 0x9e3779b9 + (a << 6) + (a >> 2)); } 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); } }