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Problem
Given a boolean expression S with 'T' (true), 'F' (false), '&', '|', '^' (e.g., "T|F&T^T"), count the number of ways to parenthesize it so the value is true.
Input format
Input
input.txt
- A single string S (length 1 to 15)
Output format
Output
output.txt
- The number of ways
Example
input
T|F&T
output
2
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Sample cases (from the problem)
Sample Case 1
Input
T|F&T
Expected output
2
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