Evaluate Expression To True

Given expression with operands and operators (OR , AND , XOR) , in how many ways can you evaluate the expression to true, by grouping in different ways? Operands are only true and false.

string :  T|F&T^T
here '|' will represent or operator 
     '&' will represent and operator
     '^' will represent xor operator
     'T' will represent true operand
     'F' will false


different ways % MOD
where MOD = 1003


string : T|F
only 1 way (T|F) => T
so output will be 1 % MOD = 1
NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a doubt? Checkout Sample Codes for more details.
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