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; class main { static int blendRGBInts(double bish, int a, int b) { return blendRGBInts(a, b, bish); } static int blendRGBInts(int a, int b, double bish) { bish = normalizeTo0to1(bish); return rgbInt( blend(rgbRed(a), rgbRed(b), bish), blend(rgbGreen(a), rgbGreen(b), bish), blend(rgbBlue(a), rgbBlue(b), bish)); } static double normalizeTo0to1(double x) { return Math.min(Math.max(x, 0), 1); } 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 rgbInt(byte r, byte g, byte b) { return (ubyteToInt(r) << 16) | (ubyteToInt(g) << 8) | ubyteToInt(b); } static int blend(int x, int y, double yish) { double xish = 1-yish; return (int) (x*xish+y*yish); } static double blend(double x, double y, double yish) { double xish = 1-yish; return x*xish+y*yish; } static int rgbRed(int rgb) { return (rgb >> 16) & 0xFF; } static int rgbGreen(int rgb) { return (rgb >> 8) & 0xFF; } static int rgbBlue(int rgb) { return rgb & 0xFF; } 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 ubyteToInt(byte b) { return b & 0x0FF; } static int ubyteToInt(char c) { return c & 0x0FF; } }