Given a boolean expression of T and F joined by & and |, such as T|F&T|F, count the ways to place parentheses so that it evaluates to True.
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The input is a valid boolean expression made of the literals T and F joined by the operators & (AND) and | (OR), for example T|F&T|F. Count the ways to place parentheses so that the whole expression evaluates to True.
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