Given a boolean expression consisting of the symbols 0 (false), 1 (true), & (AND), I (OR), and /\ (XOR), and a desired boolean result value result, implement a function to count the number of ways of parenthesizing the expression such that it evaluates to result. The expression should be fully parenthesized (e.g., ( 0) A( 1)) but not extraneously (e.g., ( ( ( 0)) /\ ( 1)) ). EXAMPLE countEval("l/\01011", false) -> 2 countEval("0&0&0&1All0", true)-> 10

C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter14: Numerical Methods
Section: Chapter Questions
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Given a boolean expression consisting of the symbols 0 (false), 1 (true), & (AND), I (OR), and /\ (XOR), and a desired boolean result value result, implement a function to count the number of ways of parenthesizing the expression such that it evaluates to result.

The expression should be fully parenthesized (e.g., ( 0) A( 1)) but not extraneously (e.g., ( ( ( 0)) /\ ( 1)) ). EXAMPLE countEval("l/\01011", false) -> 2 countEval("0&0&0&1All0", true)-> 10

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