Binomial Coefficient Using Divide-and-Conquer Compute the binomial coefficient.

Question

Binomial Coefficient Using Divide-and-Conquer Compute the binomial coefficient. Inputs: nonnegative integers n and k, where k lessthanorequalto n. Outputs: bin, the binomial coefficient (n k) Binomial Coefficient Using Dynamic Programming Compute the binomial coefficient. Inputs: nonnegative integers n and k, where k lessthanorequalto n. Outputs: bin2, the binomial coefficient (n k). Implement both algorithms for the Binomial Coefficient problem (Algorithms) on your system and study their performances using different problem instances.

Explanation / Answer

public class Util{ // calculate the binomial distribution // ret[0] stores the number user given // ret[1] stores the count of the corresponding number in ret[0] with the // same index // for some number, the count maybe 0. // the parameter validation must be finished in advance public static long[][] getBinomialDistribution(int min, int max, long total) { Random rand = new Random(System.currentTimeMillis()); int n = max - min; long[][] ret = new long[2][n + 1]; int mean = (n + 1) / 2; float p = 1; if (n > 0) { p = (float) mean / (float) n; } long count = 0; for (int i = 0; i

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