15

20
((())((()(((()(((((())))))))))(((())))))

22
((((((((((((((((((((())))))))))))))))))))())

15
(((()((())))((()())()))())

30
(((())(()(()(((())())()))))((()((()())))(()(((()))))))

100
((()(((()())(()()))((()())(()()))))((((()())(()()))((()())(()())))(((()())(()()))((()())(()())))))

118
((((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))())(((((()())(()())))(((()())(()()))((()())(()()))))()))

209
((((((()())(()()))((()())(()()))))((((()())(()()))((()())(()())))))(((((((((((((((((((())))))))))))))))))(((()())(()()))((()())(()()))))((((()())(()()))())(((()())(()()))()))))

36
(((((((((())))))))(()((((((())))))((()())((((())))))))))

543
(((((((()())(((()))))((((())))(()())))(((()())(()()))((()())(()()))))((((()())(((()))))((((())))))(((()())(()()))((()())(()())))))(((((()())(()()))((((())))))(((((())))(()()))((()())(()()))))((((()())(()()))((((())))))(((((()))))))))((((((()())(()()))((()())(()())))(((((()))))))((((((()))))((()())(((())))))(((()())(()()))((((())))))))(((((((()))))((()())(()())))(((()())(()()))((()())(()()))))((((((())))(()()))((()())(()())))(((((())))))))))

128
(((((((())(()())))(((((()))))((())(()()))))((((((())))(()())))(((((())))))))(((((((()))))))))(()(((((())(()))((((())))))(()()))((((((()))))())()))))

880
((((((()((()())(()())))(()((()())(()))))((((()())(()()))((()())(()())))(((()())(()()))((()())(()())))))(()((((()())(()())))(((()())(()()))((()())(()()))))))((((()((()())))(((()()))()))((((()())(()()))((()())))(((()())(()()))((())(())))))(((((())(()()))())())((((()())(()()))(()(()())))(((()())(()()))((())(()())))))))(((((((()())(()()))((()())(()())))(((()()))(()(()()))))((()((()())(()())))()))(((((()())(()()))((()())(()())))(()((()))))(((())((()())(()()))))))(()(((((()())(()()))((())))(((())(()()))((()())(()()))))((((()()))((()())(()())))(((()()))))))))

1024
((((((((()())(()()))((())(()())))(((()())(()()))((()())())))((()((()())(()())))(((()())(()()))(()(()())))))(((((()())(()()))((()())))(((()())(()()))()))((((()())(()()))((()())(()())))())))(()(((((()())(()()))((()())(()())))(((()())(()()))((()()))))((((()())(()()))((()())(()())))(((()())(()()))((()())))))))(((((()((()())(()())))(((()())(()()))(()(()()))))((((()())(()()))((()())()))(((())(()()))((()())(()())))))(((()((()())(()())))(((()())(()()))()))((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))))((((()((()())))(((()())(()()))((()()))))((((()()))((()())(()())))(((()())(()()))((()())(()())))))(((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))(()(((()())(()()))((()())(()()))))))))

980
((((((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))((((()())(()()))((()())(()())))(((()())(()()))((()())(()())))))(((((()())(()()))((()())(())))(((()())(()()))((()())(()()))))((((()())(()()))((()())(()())))(((())(()()))((()())(()()))))))((((((()())())())(()((()())(()()))))((((()())(()()))((()())(()())))(((()())(()()))((()())(()())))))((((()(()()))((()())(()())))(((()())(()()))((()())(()()))))(((()(()()))((()())(()())))(((()())(()()))((())(()())))))))(((((((()())(()()))((())(()())))(((()())(()()))((()())(()()))))((((()())(()()))((())(()())))(((()())(()()))((()())(()())))))((((()(()()))((()())))(()((()())(()()))))((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))))((((((()())(()()))((()())(()())))(((()())(()()))((()())(()())))))(((((()())(()()))((()())(()())))(((()())(()))((()())(()()))))(()(((()())(()()))((()())(()))))))))

1024
((((((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))((((()())(()()))((()())(()())))(((()())(()()))((()())(()())))))(((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))))((((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))((((()())(()()))((()())(()())))(((()())(()()))((()())(()())))))(((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))((((()())(()()))((()())(()())))(((()())(()()))((()())(()())))))))(((((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))((((()())(()()))((()())(()())))(((()())(()()))((()())(()())))))(((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))))((((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))((((()())(()()))((()())(()())))(((()())(()()))((()())(()())))))(((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))))))

2048
(((((((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))((((()())(()()))((()())(()())))(((()())(()()))((()())(()())))))(((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))))((((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))((((()())(()()))((()())(()())))(((()())(()()))((()())(()())))))(((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))((((()())(()()))((()())(()())))(((()())(()()))((()())(()())))))))(((((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))((((()())(()()))((()())(()())))(((()())(()()))((()())(()())))))(((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))))((((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))((((()())(()()))((()())(()())))(((()())(()()))((()())(()())))))(((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))))))((((((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))((((()())(()()))((()())(()())))(((()())(()()))((()())(()())))))(((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))))((((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))((((()())(()()))((()())(()())))(((()())(()()))((()())(()())))))(((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))((((()())(()()))((()())(()())))(((()())(()()))((()())(()())))))))(((((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))((((()())(()()))((()())(()())))(((()())(()()))((()())(()())))))(((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))))((((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))((((()())(()()))((()())(()())))(((()())(()()))((()())(()())))))(((((()())(()()))((()())(()())))(((()())(()()))((()())(()()))))((((()())(()()))((()())(()())))(((()())(()()))((()())(()())))))))))
