Title:
Arithmetically-Challenged
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Description: Challenge 24 is a popular mathematics game used in many grade schools. In each game, contestants are given a card with four positive integers i1, i2, i3, i4 on it, and the first one who can use all of these numbers and any combination of the four basic arithmetic operations to get 24 wins. Each of the numbers i1, i2, i3, i4 must be used exactly once. Division can be used only if the divisor evenly divides the dividend (i.e., you can perform 6/2 but not 6/4). For example, if the card contains the numbers 7, 2, 5 and 1, possible solutions are (7-2)*5-1 or (7+1)*(5-2). Hmmm . . . this sounds like a source of a good programming problem.
Write a program that determines the longest consecutive sequence of integers that can be obtained by different ways of arithmetically combining the four integers. For example, with 7, 2, 5 and 1 the longest consecutive sequence is-18 to 26 (yes, we re allowing final results to be negative). The "+" and "-" operators must be used as binary operators, not
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Arithmetically Challenged.cpp
Arithmetically Challenged.exe
