We all love recursion! Don t we? Consider a three-parameter recursive function w(a, b, c): if a <= 0 or b <= 0 or c <= 0, then w(a, b, c) returns: 1 if a > 20 or b > 20 or c > 20, then w(a, b, c) returns: w(20, 20, 20) if a < b and b < c, then w(a, b, c) returns: w(a, b, c-1)+ w(a, b-1, c-1)- w(a, b-1, c) otherwise it returns: w(a-1, b, c)+ w(a-1, b-1, c)+ w(a-1, b, c-1)- w(a-1, b-1, c-1) This is an easy function to implement. The problem is, if implemented directly, for moderate values of a, b and c (for example, a = 15, b = 15, c = 15), the program takes hours to run because of the massive recursion. Input The input for your program will be a series of integer triples, one per line, until the end-of-file flag of-1-1-1. Using the above technique, you are to calculate w(a, b, c) efficiently and print the result. Output Print the value for w(a,b,c) for each triple. Sample Input 1 1 1 2 2 2 10 4 6 50 50 50 -1 7 18 -1-1-1

DE.cpp

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