

Uniform GeneratorTime Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 43415 Accepted Submission(s): 17255 Problem Description Computer simulations often require random numbers. One way to generate pseudorandom numbers is via a function of the form seed(x+1) = [seed(x) + STEP] % MOD where '%' is the modulus operator. Such a function will generate pseudorandom numbers (seed) between 0 and MOD1. One problem with functions of this form is that they will always generate the same pattern over and over. In order to minimize this effect, selecting the STEP and MOD values carefully can result in a uniform distribution of all values between (and including) 0 and MOD1. For example, if STEP = 3 and MOD = 5, the function will generate the series of pseudorandom numbers 0, 3, 1, 4, 2 in a repeating cycle. In this example, all of the numbers between and including 0 and MOD1 will be generated every MOD iterations of the function. Note that by the nature of the function to generate the same seed(x+1) every time seed(x) occurs means that if a function will generate all the numbers between 0 and MOD1, it will generate pseudorandom numbers uniformly with every MOD iterations. If STEP = 15 and MOD = 20, the function generates the series 0, 15, 10, 5 (or any other repeating series if the initial seed is other than 0). This is a poor selection of STEP and MOD because no initial seed will generate all of the numbers from 0 and MOD1. Your program will determine if choices of STEP and MOD will generate a uniform distribution of pseudorandom numbers. Input Each line of input will contain a pair of integers for STEP and MOD in that order (1 <= STEP, MOD <= 100000). Output For each line of input, your program should print the STEP value right justified in columns 1 through 10, the MOD value rightjustified in columns 11 through 20 and either "Good Choice" or "Bad Choice" leftjustified starting in column 25. The "Good Choice" message should be printed when the selection of STEP and MOD will generate all the numbers between and including 0 and MOD1 when MOD numbers are generated. Otherwise, your program should print the message "Bad Choice". After each output test set, your program should print exactly one blank line. Sample Input
Sample Output
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