The question is that you have to print all the valid permutations of
the given number of brackets
for example for input 3 we have the output

1 ((()))
2 (()())
3 (())()
4 ()(())
5 ()()()

total five valid permutation

this can be solved in O( 2^(2n) ) where n is number of brackets .
Algo will be like this
1. Try '(' and ')' in every position and print the correct
permutation.Neglect all other permutation

As catalon number is far less then exponential growth ,can anybody
suggest some better algorithm

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