
59  The 4th Zhejiang Provincial Collegiate Programming Contest  1009
The image stored on a computer can be represented as a matrix of pixels. In the RGB (RedGreenBlue) color system, a pixel can be described as a triplex integer numbers. That is, the color of a pixel is in the format "r g b" where r, g and b are integers ranging from 0 to 255(inclusive) which represent the Red, Green and Blue level of that pixel. Sometimes however, we may need a gray picture instead of a colorful one. One of the simplest way to transform a RGB picture into gray: for each pixel, we set the Red, Green and Blue level to a same value which is usually the average of the Red, Green and Blue level of that pixel (that is (r + g + b)/3, here we assume that the sum of r, g and b is always dividable by 3). You decide to write a program to test the effectiveness of this method. Input The input contains multiple test cases! Each test case begins with two integer numbers N and M (1 <= N, M <= 100) meaning the height and width of the picture, then three N * M matrices follow; respectively represent the Red, Green and Blue level of each pixel. A line with N = 0 and M = 0 signals the end of the input, which should not be proceed. Output For each test case, output "Case #:" first. "#" is the number of the case, which starts from 1. Then output a matrix of N * M integers which describe the gray levels of the pixels in the resultant grayed picture. There should be N lines with M integers separated by a comma. Sample Input
2 2 Sample Output
Case 1: 