Solución de Ecuaciones

import java.io.*;
import java.math.*;
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/**
 *
 * @author alumno
 */
public class CombinationsB {

    public static BigInteger fact(long n) {
        BigInteger end = new BigInteger("1");      //because n*(n-1)*(n-2)*...3*2*1=n!, btw is my acumulator
        for (long i = 1; i <= n; i++) {
            end = end.multiply(BigInteger.valueOf(i));
        }
        return end;
    }

    public static BigInteger combinations(long n, long k) {
        return fact(n).divide(fact(k).multiply(fact(n - k)));
    }

    public static BigInteger distributions(long n, long k) {
        return combinations(n + k - 1, k - 1);
    }

    public static void main(String[] args) throws IOException {

        long k1 = 19, k2 = 64;
//        System.out.println(""+distributions(500,150));
        for (int q = 1; q < 1000; q++) {
            if (distributions(q - k1, k1).compareTo(distributions(q - k2, k2))==0) {
                System.out.println(":" + q);
            }
        }
    }
}