TopCoder Statistics - Problem Statement

Problem Statement

Correct parentheses sequences can be defined recursively as follows:

The empty string "" is a correct sequence.
If "X" and "Y" are correct sequences, then "XY" (the concatenation of X and Y) is a correct sequence.
If "X" is a correct sequence, then "(X)" is a correct sequence.
Each correct parentheses sequence can be derived using the above rules.

Examples of correct parentheses sequences include "", "()", "()()()", "(()())", and "(((())))".

You are given a String s that is guaranteed to be a correct parentheses sequence. A removal is an action that consists of two steps:

Remove the first opening parenthesis in s.
Remove one closing parenthesis in s. After you do so, s must again be a correct parentheses sequence.

Compute and return the number of distinct ways in which s can be reduced to an empty string by performing consecutive removals, modulo 10^9+7. Two ways are considered distinct if there is a step in which you remove a different closing parenthesis. (See Example 1 for clarification.)

Definition

Class:: ParenthesisRemoval
Method:: countWays
Parameters:: String
Returns:: int
Method signature:: int countWays(String s)
(be sure your method is public)

Constraints

s will have between 2 and 2,500 characters, inclusive.
s will be a correct parentheses sequence.

Examples

"()()()()()"

Returns: 1

In each removal we have to choose the leftmost closing parenthesis.
"(((())))"

Returns: 24

In each removal we can choose any closing parenthesis we want. Note that these count as distint choices, even though all choices lead to the same string. Thus, there are 4*3*2*1 = 24 different sequences of removals that change s into an empty string.
"((()()()))"

Returns: 54

Below is one of the 54 possible sequences of removals. Remember that in each step we also remove the first opening parenthesis. Remove the fourth closing parenthesis: "(()()())" Remove the second closing parenthesis: "()(())" Remove the first closing parenthesis: "(())" Remove the second closing parenthesis: "()" Remove the first closing parenthesis: ""
"(())(())(())"

Returns: 8
"((((())((((((((((()((((((()))))())))))()))))))))))"

Returns: 948334170

Don't forget about the mod.
"((()((((((((((()))((((()))((((()(()((()))()))((())())())()())))(((()))(((())))())()(()((())))))))))(((((())))((())((((((((()))()(()(())))))()(()()((((()))(())((((()(((()(()))))))(())))))))((()(((())))))))(((())))))))))))"

Returns: 873781608
"()()(())(()()())((()))(())(()()(()())()(())(()()(())(()()(()()()))))(()()()()()()()(()()()()()(()()()(()))))(()(())(())(()())()()())(()(())()()()(())(()()()()(()))(())(()()()(())(()())))"

Returns: 57657638
"()()()(())()()(())(()()())(()()())(()(()))(()()()()()()(()))(()()()())(()()()()()()(())(()()))(()()()()()()()(()())())(()()()()())(()()()()()()()(())(()()()))(()()()()()()()(())(()()()(())))(()()()()()(())(()))(()()()()()()(())(())()()()()(())(())()(()(()))(()())(()())(()()()()()()()()()()()))(()()()()()()()()(()())(())(())(()()()()()()())(()()()())(()()()()()()))(()()()()()()()()()()(()())(()())(()()())(()())(()()())(()()())(())(()()()())(()()()()()()())(()()()(()()())(()()()()()()()()()()(()))))(()()()()()()()(())(())(()())(()(()()))(()()())(()()()(())()))(()()()()()()()()()()()()()(()()())(()()()()()(()()))(()()(()()))(()()()()()()()()()()()()((())()())))(()()()()()()()()(())(()())(()()()())(())(()()()())(())(()(())()())(()()())(()())(()()()()()(()))(()()()())(()()()()()()()()(()()))(()()()()()()(())()(())(())(()()())(()()(())())(()()()()()()())))(()()()()()()(())()(()())((()))(()())()(()()())(()())(()()())(()()()()()()())(()()(()()))(()()()()()()()(())(())(())))(()()()()(())()(())()()(()()())(()()()()())(()()()()())(()()()())(()()())(()()())(()()()()(()()())(())(()()()(())()))(()()()()()()()()(())(())()(())(()))(()()()(())(()())(()())(()())(())(()))(()()()()()()()(())()(())(())(()()(()()))(()()()()(()))(()()()()()()()))(()()()(())()(())(()()))(()()()(())(())()()(())()(()())()(()())(()()())(())(()()()(())(())()())))(()()()()()()()(())()(())(()()()())()()(()())(()())(()()()()()(()))(()()())(()()())(()(())()(())())(()()()()()()()(())(()))(()()()()()()()(())(())(()()()))(()()()()(())()()()())(()()()()()()()()()())(()()()()(()())()()(())(())(()()()())(()()()(()))(()()()(()()))(()()(()))(()()()()()(()))(()()()()()()()(()()())())))(()()()()()()()()(())()()()(()())()()()()()(()(()))(()())(()()()())((())(()()))(()())(()()(()()))(()()()()()()()()()(())(()())(()()()()))(()())(()()(()()()()))(()()()(())(()()()()()()(()()()())))(()()()()()()()()(())()()()(())(()())(()()()()(())()))(()()()()()()()(())(()())(()())(()()()()()()()(()()()))(()()()()()(())(()()(()))()))(()()()()()(())(()()()())(())(()()()()()()(()())(())))(()()()()()(())(()()())(()())(()()())(()()()()()()()()()()()(())()))(()()()()()()()()()(())(()())(())(()()())(()()()()()()()))(()()()()()()()()()()(())(())()(()())(()()()))(()()(())()(())()(())(())(()())(())(()()(())(()()()))(()()()()()())(()()()()()()()))(()()()()()()()()()(())()()()()(()())(()())(()())(()()())(()())(()()()(()()()))(()()()()(()()()))))"

Returns: 939667784
"(())((()())(())())((())((()())))((())((()(()))()(((()()))((())(()()(()((())))(()()))())((())(()(()()(()))((()((())))))))))(((()()()))(()(()))((()())((())))(()((()))(()()(()())))((())(())()((())(())((((()()()()))(((())))())(()(()))))))(((()())())((()((()))((())(()())))(()(())((())())(()((())))))(()()()((())(()(())(())()(()(())()))))((((())))(()))((()())(()())(())((())((())()(())())((())(()()(()))((())(()()(())))))(()(())((()()(()))(())))((())(()())()(()(())(()())()))(()(()()())(()()())(()(()(())(()()))()(((())()()(()(())(()))())((())(())))))(()()()(()(())((()(()))))(()(()()(())))(()()(()(((())())))(()(())(()(())(()((()))(()))(())()((())))))((())((())))(()(()()(()(()()())))((())(())(())(()))))))(((()(()()()())(())))(()()(((())())))(((()))()(()())(((()())()(()()(())((()())(())))(()()())(()(()())()()(()(()()))(()()()(()(())))()))(()(()(())()((()))))((()(()())())()(())(()(()())(())(())(()()()()()((()))())())((((())))(())(()(()))))(()(()(())())(()(()(())((()())()(()(())(((()(()()))(()((())(())))))))))((())(())(()(()))(()()()()(()((()))(())))((())(())(()())(((()()()))(()()))(((())()))()((()())))))(()()((())((()))())(()())(()((()))())(((()))()(()(()()()))((())())()()(()(()()()(())))(((()()))))))))((())(()(()(()(()))()))(()(()())((())(()()((()((())))))(()((())))(()(())((())))((())(()()()))((()()(()))((())(()())))(((()(())))(()))((()()())))())(()()((()))(()(())(()(())))(()(())()((()(())(()(()))))(()(())((())())(()()))(((()()))(()(()(())))((()(()))((())()(())))))((()(()())()(()))(()))(()(()(()))(())(()(())())((())())((())(()(()()())))((())()(((()))(())(()(())((())(()(()))())((())())))((((())))(()(()())(()(()())()))(((()()))))()(()(((()))))())))((()(()()(()()(())(())())))(((((()))(()(()())))(())))(()((()())((()))())(()()((())))))(()((())(()(()())(())))((())((()())))(()()(()()()()))((())((()))((())(()(()()()())(((())))(((()))()(())(((()(())(()())))))))(()(((()))))()((((())()()))((()))(()(()(()))(()()())(()((())(()))(()(()())(())))((((((()))()())))(()((()())(()(())))((()))))((()))(()))))(()()))(()()(())(())((())((()(()()))))(((())((())))((((())())())(()(()())(()))())()(())(()()(())()((())((()()())(()()(()(()))()((())(()))()()))((()())(())())((())(()(()())))))((()())(()()(())((()((())))(()(()))(()((()(()))()(()(()()))(()()())))))((()(()((()))((())())(()))(()))(())))))(()(()(()(()())))(())((()())(()((())(()(()))))(())(()()))(()(()(()()(()()()(()))(())(()))))))"

Returns: 993688502
"()()()(())(()()())(()()(()(())(()()))())()(())((()(())(()))(()))(()()(()())(()()((())))(()()(()(()))(()())))(()()()(())(()()()))(()()()()(())(()())(()(()(()))(()())(()(()))(()()(())())(()()())))(()()(()())()()(())(()()(())()()()(()()(())(())))((())))(()()(())(()())(()()(())()(()(())(())))((())())(()()()()(()))(()()()(())()(())()()(()()((())))(())(())(()(()())))((()())(()()))(()()()()(())(()()))(()()()(()())(()()())(()(()))(())(()(()()))(()(()())(()()))))(()()()()(())((()))(()())(()()(()()()))(()()(())(()())()(()(()()))(()))(()()((()))(()()()(()())))(()()()(())()())(()()()()()(()())(()()()()()(()()(())()()()((())))))(()()()()(())()(())(())(())(()()()(()()))(()()(()())(())(()()))(()()()()()()(())(())(())(())))(()()((())((())))(()())((()))(()()()()(()()()(())()(())(()())))(()()()(())(()())()))(()()()()()()(())()(())(()(()()(())()))))(()()(()())(())(()()())(()()(())()(()(()))))"

Returns: 934987236
"()()(())()()(()())(()()())(()()()()())(()()()())()(()()()()()()(()))(()()()()())(()()()()()()()()()()(())()(()())(()()))(()()()()()(())()(())()(()())(()()()))(()()()()()()()(()())(())(()())(()()())(()()(()))(()()())(()()()()()()()()()(())()(()(()))(()()))(()()()()()()()()()()()()()(())()(())()))(()()(())()()(())()(()()())(())()(())()(()()(()())(()))(()()()()()()()()(()())(())()(()()())(()()()()()()))(()()()()()(()())(())(()()()()((())()))))(()()()()()()()()()()()(()())(()())(()())()(())(()()(()()())(()(()())))(()())(()()()()()(())(()))(()()()()()(())(())(()())(())(()))(()()()()()()()(()())(()()()()()))(()()()()()()(())(()())(()))(()()()()()(())((()))()()(())(()())(()()()((())()(())())))((())()()(())()(()())(()(())()())(()()))(()()(())(())(()())(())(()()()(()())(()))(()()()()()()((())))(()()()()(()()(()())))(()()()()(())()(())))(()()()()()()()(())(()()()()(())())(()()))(()()(())(()())(())()(()(()))(()())(()()()(()())())(()()(()()))(()()()()()()(()())(()())(()()()())(()()()()))))"

Returns: 456906575
"(((())(()()(()()((())))()))((((())))((((()(())((((())))())(())((()(())(()))((())))))((()(())(((()))((()))))()((((((())))((()))))))(()))))(()))"

Returns: 446471097
"(((((((())(()(()())))()))())))((()(())(()((())((())((())())(()(())())))())))"

Returns: 364654327
"()()()(())()(())(()())()(())(()()())(()()())()(()()()()())(()()()()()())(()()()()(())())(()()()()()()()()()(()))(()()()()()()()()(())(()))(()(()))(()()()()()(())(())(()()()())(()()(())))(()()()()()()()(()))(()()()()()()(())()(())(())(()())(()()()()())(()()(()))(()()()())(()()))(()()()(()())()(()()()())(()()()(()())))(()()()()()()()()()(()())(()()()()(())))(()()()()()(())()()(())(()()())()(()()())(()()()())(()(())(())))(()()()()(())(())(()())(())(()()())(()()()()(())(())(()())()(()())(())(()()()(()))(()()()())(()())))(()()()()()()(()())(()())(()())(())(()())(()()()()(()()))(()()()(())))(()()()()()(())(()()()())()(()()()()()()(()))(()()()()(()())(()())))(()()()()()()()()(())(())(()()()())(()()()()())((()()))(()()()(())()(()())(()(())()()))(()()()()()()()))(()()()()()()(())()()()()()()(()()())(()()())()(()()()()))(()()()()()()()()()(())(()())()(()())(()()()()()(())(()(())))(()()()()()(()())(())(()()))(()()())(()()()()()()(())(()())()(())(()())())(()()()()(())(()()())(()()()()()())))(()()()()()()()(())(())(())(()())(()())(()())(()()()())(()()()())(()()()()()()()(()()()()())(()()))(()()()()()()()()(()()())(()()))(()()()()()(())()()(())()()(())()(()()())(()()(())()()())))(()()()()()()()()()()()(())()()(())(())(()())(()())(()()()())(()()())(()()())(())(()()()()(())())(()()())(()()()()()(())())(()()()()()()()(())(())(())(()()))(()()()()()()()(()()())(()()(()))(()()()()))(()()()()(())(())(())()(()())()()(())(()()(()())(()))))(()()()()()(())()(()())(())(()())(()())(()())(()()())(()())(()()()()(())()(()()()))(()()())(()()()())(()()()()(())())(()()()())(()()()()()()()()(()))(()()()()()()(())())(()()()()()()()()())(()()()()()(())(()))(()()()()()()()()()()(()())(())(())()(()()())(()()())(()(()())(()()))(()()()()))(()()()()()(())(()())(()()()()()(())(())))(()()()()()()()()()(()())(()())(())(()()())(()()()()())(()())(()()()()()()()(()))(()()()()()()()())(()()()()()()()()(()))(()()()()()()()(())())(()()()()()()()(())(())())(()()()()())(()()()()()()()()()())))"

Returns: 868858854
"()()()(())()(()(())())(()()())((()))(()()(()())(())(()()))(()()()()(()()())(()()(()))(()()(()())))(()()()()(()())()()(()()))(()()((()))(()())(()())(()))(()()()(())()(())(())(()())(()(()()())())(()()()()(())(()())))(()(())()()(())(())((()())()(()())(()))(()()()(()()(()))((())(()()())(()()))()))(()(())()()((()))((()))(())(()())(()()()()())(())(()()(()()))(()()()(()()()()())((()))(()(()()())))(())(()()()()()()(()()()())(()()())(()())((()())(()()()()(()()()())))(()((())())(())))(()()()(()())(()(()()(())))(()()()()()())(()()()(())(()()))))(()(())()()()((())(()))(()())()(()()(()())(()()()))((())(())(()()())(()()))(()()()()(()))(()()()(())()(()()()())(()))(()(())()(())(()()))(()()()(())()()(()()()())(()()())(()(()())(()()((()()))))(()(())()(())))(()()()()()(()(()))(()()()())(()()())(()(())(((()))())(()()()()))(()()()(())()((()()()))(()()()))(()(())()()(()()()()())(()()()(())(())(()))(()()(())()(())))))(()()()()(()()()(())(()()()(())))(()())(()(()()())(()))((())(())(()(()()))(()()(()))(()()()()()(())()(()())))(()()()(())(())(()((())))(())(())(()()()(()()()))(()())((()())))(()()()((()))(()()(()()()())(()()(()))))(()()()(())(())(()()()(())())(()()()()())(()()(())()(()())()(()(()))))(()()()(()())(())(()()()()(()())(())(()()()()(()()))())(()()(())(()())()((())())(()())(()(())()(()))(()()()()()())))(()(())(())()(()()())(()(())()(()))(()(())()(()()())(()))(()())(()()())(()()()()()(())(()()(())(())(()))(()()(())(())(()))(()()(())(()())(()()(()))(())(()()))))(()()()()()()()(())()((()()))(()()(())(())(()()))(()(())()(())()(()()()())((()())()()))(()()()()())(()(()))(()(()())(()(()()())))(()(()()())(()))(()()()()(()(()()))(())()(())(()()(())())(()))))"

Returns: 56756141
"((((()((((((((()((()((())(()(()))()))(()))()))))()((()))))((()(()()))))((((((((())(()))())())))())(((((()((())(((((()(())())()(()(()((())))))(())(((())))))((()(((()))(()())(()((())(()()(())))))(()))(((()(()()())))((()((())))))()(((((())(()()(((()))))())(())(()))(((()))(())))((())()))(())))))()(()()))())())(((()))(()))())((((((((())((()(()))((())(())((())(()()())(()))()))())((((())()((())))))((((()()))))()))(())(((((((())()(((())())()))(()))((())))((((((()(())(()))))((())(((()((())())(()(())((()(()((())(()))()))))(((()(()))))))))))))))(((()())())(((())(())(()))(((()))))((((()()((((((())(((())))))))))))(())(((()))))))((()(((()(((()((())(())(()))))))(((()((()))(()(()((()((((()())))())))()((((()((())(())())))()((()())))(((()(())(()))(((((()))()))())(((()((((())))(()))))))(((()(()(()((((()))))(()))))((((())))(((((())())(()()((())))())))()())((()))))))))))(()))))((((((())())(()(()))((((()))))())((()()(((())((())(())()))(()(()((((()))()(((())(())())()))(()))((((((()(()(()())))())()())((()()((()(()))))(()((())(()())(((()(()()))))(((()))()((())()())()(())())))(((())(((()))))((()(()()()))))))())))((((((())((()))()))())((((())()))))(()(((())(()(()(()))()())(()()))((()(()()))((()())((())(())()))(((()()))((()))()(((()(())((()(()((())))()))()))))))(((((())))()(((())()((()))())))))((()()((()))())))((((((((())))(((())((())))()))))))))())()()))((((((())(()))())(((()))(()(()(((()))))())(((())(())(())(()()()))())))))))))((((((((())(())((())())()))()))())(((((())))((((()))())))((()(((())()())))()(((((((()((()))()))((())(()(()(()())())))((())(((()()))(())(()))))((((()(()(())((())))(()))))((()(((()(())(()())(())))()))(((()))(())()))(()(()())))((((()))(()()))((((())()))))(())((())(()()))((((()((()((((()))))(()(()))))(((((())()()))()((())())())))((((())(())((()))))((())(()(()()))((((()))))))((()())))(((())(((((())(()))())((()()())(()(((())))))((())()((()())(((()))))()))))())))()((((())(()))()(((((())(()())))))((())()))(()()))((((((())(((())))((()())())))))(((())(()()())())((((((())((())))())(((())()))()((((())))(())))())(()()()(()(()(()(())))())))((()((((())))(()()(((()))(()(()(()(()))(())(()(()((()))))))))))))))(()((((((()))(()()(()()))))((()())))))((((((()())((()())()())((()(()))((()))(()()(()(()))))()(()))((()((()))()(()))))))))))))((((())((()())((()((())))))(((()((()))(()(()())(((()))))((()(()())())))())))(()())((()())()))()))))((()((((())(())(()(()())))))((()((()(()))))))))))))))((()())((((())))())))"

Returns: 301624017
"()()()()()()()(()())(()())(()())(()()(()()))(())((())())(()())(()()()()()()()()())(()()()(())()()()()()(()))(()()()()()(()()()()())(()()()(())()(())))(()()()()()()(()())(())(()()()(())()()(())))(()()()(())()(()()()())(()()()())(()()()()()()()))(()()()()()()()()(()()())(()()()))(()()()(())()()()(())(())(())(()()())(()())(()())((()))(()(())()(())))(()()()()()()()()()()()(())()(()()()())()()()(())()(())(()()())(()())(()()))(()()()()(())()()()(()()())(()()())()(()()())(()()())(()()()())(()()()())(()()()()()()()(())(()()()()())))(()()()()()()(())()()()()()()()()(()()()()()()())(()()()()()(()()()()))(()()()()()()))(()()()()()(())(())(())()()(()())(())(()()())(())(()()(()()())(()))(()()()()()()()()())(()()()()()()()())(()()()()()()()())(()()()()()(())())(()()()()()()(())(()())()()(()()()())(()()()()()())))(()()()()()()()(())(())(())(()())(())(()()()())(()()()()()())(()()()()()()()()(()()()()))(()()()()()()()(())(()()())))(()()()()()()()()(())(())(()()()()(()))(()()()(()))(()()())(()()()()()(()()()()()))(()()()()(()())(())(())(()()))(()()()()()()()(()()()))(()()()()()()()()()()(())()(()()(()))(()()()(())()()()()))(()()()()(())(())()(()()()(()))(()())(()())(()()()()()())(()())(()()()()()))(()()()()()()()(()()()()()())(())(()()()()()())(()(())(())(()()()))(()()()()()()()())))"

Returns: 85632404
"()()(())()(()()()()(()))(()(())()(()()()(()))(()(())(()()(()))))(()(())())(()(())(()())(()()()))(()()(()()())(()()()()()()(())()(())()(()()))((())))(()((()()()())())(()))(()()(())()()(()(()()()))(()())()(()()()()(()()))()(()()()()(())(())))(()(())()()()()((()))(())(()(())()())(()()()(())(()()()())(()(())()()(()()(())(())))))(()()()()()((()))(()()()()()(())))(()()()(())(()())()()(())(()()()()(())(()()()()))(()()((()))()(())(()()(())(()()()))(()()(())(()))))(()()()((()))(()(()))(()())(())(()()()())(()()(()()())(()))(()()()(()()()())(()()(())(()))(()()()((()))))(()()()(())()(())(()()()())(()(())))(()()()()()()(()())(()()(())(()()())))(()()()()()(())()()((())(()()()))))(()()()(())()()(())(()()(()))(()()()()())(()(()(())))(()()(())(()()()())(()()()(()())))(()()()(()()(()))(()()()(())(())()))((()()(())))(()()(())(())(()()())((()())())(()()(())())(()(())(()())))(()()((())(()))()(())(()()))(()()()(())(())(()()()())(()(())))(()(())()()()()((())())(()()()))(()()()(())()(())(()())()(())(()()(()))((()))(()(())()(()())(()))(()()()()()()(())(()())()(()(()())(()))(()()()())(()()())))(()()()()(()()()())(()()(())(())()((()())(()()())(()()()()()(()()))))(()(())(())(()()())(()()()()()()()))(()(()())(())))(()()(())()((()))(())(()(()))(())(()()())((()()()))(()()()()(()))(()))(()()()(())()()(())(()())(()(()))(()()()()()))(()(())(())(()(()()))((()()))(()(())()()()(())(()))(()(()())()))((())()((()())()(()))(()()()()()()((()(()))))(()()()()((())())(()()()()))(()()())(()()(())(()(()())))(()()(())(()())()(())(()))(()()(()()))(()((())(())()(())))(()(())(())(())(()(()(()))(())(()(()))(()()())))(()()())(()()(())()(())(()(()()()()))(()()()()())(()()((()))()(())(()()(())(())(()))(()(()))(()(())))))(()()()(())(()())(()()()()())(()()((()))(()())(()))(()()())(()()(()()))(()(())()()()()(()()())()((()))(())(()()()))(()()(()()(())))))"

Returns: 40756544
"()()()()()()(()(()))()()(()()())(())(()()(()))(()()()()()()()(())(())(()))(()()()()()(())(())()(()()()))(()()(())()(())(())(())(())()(())()(()()()()))(()()()()()()(()())()(())()(()()())((()))(())())(()()()()()()()(()()()())(()()(()))(()()()()()()))(()()()()()()()()()()(()())(()())(())(()())(())(())(()()(())(()))(()()()()()()()()(()()))(()()()()()()()()()(()()()()()())))(()()()()()(()())(())()(()())(())(()()()())(()()))(()()()()()()(())(())(())(()())()(()()(()()))(()()()()(())))(()()()()()(()())(()()()()())(()()())(()()())(()()())(())(())(()()(())()()()(()()())((())))(()()(()))(()()()()()()()))(()()()()()(())(())(()())()(())(()())(()()())(()()()()(())(())(())))(()()()()()()()()()(()()())(()()()())(()()()())(()()(()))(()()()(())(())))(()()()()()()()()()()()()(()()())()(()())(()()()())(()()()(()())(()()))(()()()(()()))(()()()()()(())()(()))(()()()()()()(()()()))(()()()()(())()()(())(()())(())(()()())(()()(()()))(()()()()()(()))(()()())))(()()()()()(()())(()())()(())(()(()))(())(()())(())(()(()()()))(()()()()())(()()()()()(()))(()()()(())(())()())(()()()())(()()()()()()())(()()()()()(()())(()())(()()))(()()()()(())())(()()()(()())(())(()))(()()()()()()()(()()()()))(()()()()()()()(())(()()()))(()()()(())(())(())())(()()()()()()()(())()(()(())())(()()(())()())))(()()()()()()(())()()()(())()(()()())(()()())(())(()())(()()()()())(()()())(()()())(()()(())(()())(()()))(()()()(())(()()())(()()())(()()))(()()()()()(()))(()()()()(())(())(())(()()()())(()()()))(()()()()(())()(()())(())(()()()()()()()()()()()()()(())))(()()()()(())()(()()()()()())(()()()()()())(()()())(()()()(())(()()()()))(()()()()(()))(()()(()())(()())()(()())(()())(()()()()()())(()()())))(()()()()()()()()()()()()()(())()()(()())(()())(()(()())(()))(()()())(()())(()()()()()())(()(()())(())(()()))(()()()()()()()())(()()()()(())()(()()()()()()(()()))(()()()()()()()()(()())()()()))(()(()()()()))((())(()))(()()()()()(()())(()())(()()()(()()))))(()()()()()()(())(())()()(()())(()())(()()())(()()()()())(()(())(()()())(())(()()()))(()(()))(()()()()(())(())(())(()())(())(()(())))))"

Returns: 175865988
"(())((((((()((()(()()((())()))(()))))))()(((())(()())(()()(()()(())((())(()())())((())((())()()(()))((((()))))))))))(((()))()(()))())(((()())(((())()))))(((())((()((())))()))()((((()(())())(()(((()()(()()()))))))((())(()))())((()((()(()))((())(((()(())))))))()((()(())((()()(())(()))(()(())(())))(((()())))(((()))))((())((())(()(((()(()()))())(()()())))(((()((()()()))((()()())))(())((())(()(()(()()(())(()()())(()(())))())))))(((((())(()))((()())(())(()()()((()))(((()()))))()))(())(())))))))))(()((((()()())()((())((((())())()((()(()))))))(((()))((())(())((())))))(((()(()))(((((())(()()))()(()(()))(()()((()))))())(()())))))(()()((())(((((()(()(()))(()))(((())()()((()))))((())(()(()))(())(())))((((())))(())()(()(())(((((())()())(())((()())))(()((()))))))))((())(((()))())())))((((((()))))((())(((()(()()))(((())))))(()(((())))((())))((()())(((()))))))(()((((()))((()((()))((())())())(((()))((()))))((()(((()(()((()))))((()))((())((())()))))(((((())))(())(()))))((((((())()())))(((()))))((()))((((()())(())))(((()))(((()())(()(()())))((()))((())))(()))(())((((())(()(()))))((()((((())))))))))))(((()(())(()(()())(())(()())((()()))())))((())(()(((()(()())()))(())((()()))(()((()((())()(())))))((()))))((((())((())((()))))(()(((((((()))))))))))))(((((()())()))))))))))))(((((())))(())))"

Returns: 685209508
"()()()()(())(()())(()()())(()()()()())(()())(()()()()(()()()))(()()(()()(()))(())()((())()))(()(())()(()))(()()()()()()(()()()(()))(()()()()()())(()()(())()))(()()(()())(())(()(()())))(()()()()()(())(())()(()()())(())((()())(()()))(()()(())))(()(())()()()(()())(())(()(()())((())(()))(())))(()(())(())(()()())(()())()(()()()(()()))(()()(()))(()()(()()()()))(()()(()())(()()()()())(()()()(()))(()()())(()())(()())))((()())(()())(()()()()()()()(())()(())(()(()))))(()()()(())()(())(()()()(())(()))(())(()()()(()())(()))(()()()()((())()())(()()))(()()()()()()(())(())(()())(()(()())(()()()(())))))(()()()(())(())(()()()())(())()(()()())(()(()())(()(()))((()))(()()()()(()())))(()()(())(()(())(()))(()()())(()())(()()()((()))(()())(()))(()()()()(())(()(()))(()()())))((())()()(())()(((())))(())(()(()))))((())(()()()()())(()()()()()(()))(()()()()()(()()(()))(()))(()()()()(())(()()(()))(()()()())(())(()()(())(()())))(()()()(()(()))()(())(()(()))(()()())(()()()(()()))(()()(()(()(()))))(()(())()()(()()())())(()((()()())())()(()()(()))()(()()()()())(()()()))(()()()((())())(()()()))(()()(())(())(()())()(()())(()()(())(())((()))(()())(())(()()(())))(()()()()()()()()(())()(()()))(()()()()(())(()()(()))(()(()())))))(()()()((()()))()(()(())(())())(()()(())((())))(()(()))(()()(())(())(())((()())))(()()()(())()()(()())((())()()(())))(()()()(())(()())(())(()()(())(()()(()()()())((())))))(()()(())(())(())(()(())(()(())()(())))(()()(())()()())(()()()(()())(()()()()))(()()()()(()(()()))))(()()()(())(()())(()()(()())(()(())))(()()())(()()()(()))(()()))((()(()))(()())(()())(()()())(()()()(()())(()())(()()))(()((())()))(()()()(())()()(()())(()())(())(()()()()())(()()()()())(()(()))))))(()()()()()(()(()))((())())(()()()(())(())(()(()))(()()()(())(()())()(()))(()()(())()(()(())))(()()(())(()()(()))(()())((()()()())(()()()))(()()()(())()()(())())))(()()()(()()())(())(()()(())(()()())(()))(()()()()()(()(()()))(())(()()()()()()))(()()()()()(())(()()())(()()(())))((()()())(()()()())(())()(()()(())()(())))))"

Returns: 757038791
"()(())(())(()())(()(()())())(()()()()())(()()()()())(()()()()()())(()()()()((()))())(()()()()(())(()())(()()())(())(()()()()()))(()(()())(()())(()())(()()(())()()()(()))(()()(())(()))(()()()))(()()()(())(())(()()()())(()()()(()())()()(()))(()()()(())(()()())(()()()(()())()()()(()()())()(()()(())())))(()()()()()()()(()())(()()()())(()()())))(()()()(())(())()(()())(())(()()()()))(()()()()()()()(()()())(())(()()())(()()(()())(()()()()()(()))))(()()()((()))(()()()())()(()()()()())(()(())()(()()(())))(()()()()(()(()))(())(()()()(()))(()()()()))(()()()()(()())(())(())))(()()()()()()()(())(())((()())(()))(())(()())(()()()(())()(())(())(()()()))(()()()(()))(()()()()(())(()())(())))(()()(())()()(()()())(()()())(()(()))(()()()()()(()()(())()))(()()())(()()()())(()()()()()()(()))(()()()()(()()())()(()()())(()()()()()()()()()(()()())))(()(()(())(()()))))(()()(())()()(())(()())(()()()())(()()(()))(()()(()))(())(()()()())(()()())((()))(()()()(()()())(())(()))(()()()(()))(()()()(()))(()()()(())()(())()(()(()))(()()()()(())))(()()()()()()()()()(()()()(())()()()(())())(()()()(()()()(())))(()(())()()(())(()())(()()())(()(()))(()()())(()()()(()))(()()()()()))))(()()()()()(())()(())()(())(())(()(()))(()(()()))(()()()()(())(()())(()))((())()()()()(())()()(()()()(())(()(())()()(()))))(()()()(())(()())(())(()(()())()(()))(()()(()(()))(())(()((()))))(()()()()()()(())())))(()()()(())(())(())(()())(()()()(())(()()))(()()())(()())(()()()())(()()()(()))(()()())(()()()(()()))(()(())()(()()()))(()()()()()()(()(())(())())(()()()()()()((()))(())(())(()()()(()))(()())(()()))(()()()()(())(())(()()())))(()()()()()(()())()(()()()()(()))(()()()()()))(()()(())()(())(()()(()()))(()()()()()()(()()()(()())))(()()()()(()()(())())(()(())))(()()()()(()()())(()())()(()))))"

Returns: 746540537
"((()()))(()(()()((())(())))((((((()())))))))(()()(())(()()))((())((())()((())))((()())((((()(())))))(())(()(()(()()))(()())(()(()())(())))()(()((()))()(()())(()))(((())(()))))(()()(())((()())(()()(()())))(()()()((()))(()()()))(()()()(())))(()((())(((())(())))(()(())))((()())())((())()((()(()))))(()(()((())))()(((()))))))((())()()(()()((())()))(((()())())((())))(()(())(()(()()())((())()))((()(()(()(())())))())))(()((()()()((()()))(()))(()()()(((())))))(()(()()(())(()))()))(()(())(()(()(()(()))))(())((()()(()(()(()))(()(())))))(((()))(()()))(()()((()())(()(()(())))(()))((())))(()()(()(()()()))(((()()()(()))))((()()())()(()(()())))))((((()()())((()())(())))(()()((()))))(()(())(()()())(()()))((())(()()(((()())))))(()(()()(()((()())))((())()()))(())(()(()))((()(())())(()((()())()))(()(())(()(())))(()()(()(()))()(((()))(())(()()))(())))(()(()(())))(()()((()))(()()((()))((()()(((())(()))(((()))))))))((()())((()(())))((()))((((())))(())()((())()))(((())(()))(()()())(()((()))(()())((()())))(()(())(()((())(())()))(()((())(()()))(()()(((())())))(())))((()())()()))(()(()))))(()(()()()((()()(()())))((()()()))())(()()(((()(()))))((())(())(())()(())(()())())(()())((()((()))()))(()((((()))))(())(((())(())()))((()))(()((()))()((())(()(()()())))(()(()))()(((()(())(())))))))(()((()())()(()()))(()(())(()((())())))((())((()))(((()())()))))(((((()())(())))((())((()()))((())(())(())((())(())(()((()())))(()())))))(()(()()(())((()(()(()()()()))))))(((()()()))(()())()((()()(())(()((()))())(()())(((()()))(())))(((()))()))((()()(()(())))))(()(()()())((())(())()(((()))((())((()()))(()))))(()))))(()(())()(()((())()))(((())()()((())()))(())((())(())))(()(()((())())()))(((()()())()))((())(()((()))((()(())))()())())(()()((((())())(())))(()())(()))))"

Returns: 382374639
"(((((((()())()()()())(((((((()))(((()))((((((()()))))((((())((()())(())))(()()))))))))(((())(((((((())(((()((()()))))((())(())((()(())()))((())))))(())(())())()))(()((((())(()()())))())((())())))())((()(()()()()()))))((())(()(((()((((())((())))))(((()(((((((((())))((())))))))(((((()())()))()(()((()))))(())(()))(()((())((((())))))((()())((()))))(((()())))))))((()))))))))())))()())()))))"

Returns: 295692011
"((((((((((((((()()()())())))))((()())(()(()(())(((())))))))((((((((()(((()))))())((()((()((()(())(((()(()())))((((()(((()))))))((((())))((()()())))()))((()()())(()()))))(())))))))(((((((()(((((())))))(((((()(()())))((((()((()))(()))()))((())((()))())))))((((())(()))))))(()(((())((((()))(()((()(())(()))())((())((())))))(((((()))(()())))))(()(())((()()(()(())()))((((())())))(()))((((((()())()()))))((((())(()(()((((())()((())))))((()))(((()))((()(()(((())))((()()))))))(((())(()(()()())(())))(()(()(())(()))))))))())))))))((()())))(((())(()))))(()()((((()))(()(((())(()))(()((((()))(((((()))))))(((((())))(()))()))())))))())))(((((()(()(()(((()(((((()))(()()((()(()())(()(()()))))))(()((())()))()))()))(((((())((())()((())(())))))(()()))())))())))((()))))(()((((()(()))(((()()(()))(()(((())))))(((((()))))()()((())))(((((()))))(())(((()()((())((())(())()))))(()()(()(()()((()(()))()))(())))())))))())())((())(()(()))))(((((()(((())((()))))(())((((())(()))(()))))))((((((()((((()()))())()(((()(((())))))))(((()((()(()((()))))())((())()((()())))(()((())))))(())((()(())((())))()()(()((())()(())(((()))(())))()()))))((())))()))()(((((((()))((((())))))))(((()(())()()))))))((())((((()())))))))))((((((())())(()))((()(((((((((((()(((())((())))())))))(((((()())())((()(()))()(()())))))))())))((((()()))(())((()())(()(()(()))(((()))(()(((()))())(()((()))(((()())))(()())())))))((((()))(()(()((()))))))((()))(())))))))((()())))))())(()(((((()((()((((())((())()))()))))(())())((())()))))()))))))))(()()))))"

Returns: 612202365
"((((((()()))(())(()((()(((())((((((((()((()(())((()())))(((((()))()))((()))(())))))))(((()))((())(((()))((()(())))()))))((((((()(((()()(()()))())()(((()))))()())(()())()((()))))()))((()(()))((()(((((())))((()))))(())((((())(()())((((()(()))(()()))(())())))(((())))))((((()(()(()()))(())((()()(())((()))(())))(()(()()))))(((()(()))())))()(((())()((())(())))))))(((()(()((())((())((((())())(())))))))()(()((((((()(())(((()))))((())((((()()(())))))))((()()))((()(()))()))((((()())))((((())()((()())(())))(()(((())()())((()())()()((()))((())()())())(()())))()((())((((()(((())))(()))()))((()())(())((()())((())()(((()()())))())))(()()(()()(()((((()())()))(()))()))((()(())))))))))))())))((((((()(()()))))))()((()(())())))))))))(()()))(((()))((((((()())(()(((()((()))(((())(()))(()(()))))))))))())()))())))))((()(((((((((()))))))(((((((()(()(((((())))(((()))))))((())))()(((((()())(())(((())())))))((()()(((()))(()((((()))(()))()))()((())(()(((())))(((()))())((()))))))()))(()())())(((()(((())))((()()()())(((()))((()))))))(())(()((((((()()))))))))))())((((((())))())(((()()))((((()()((()()))((())))()()))))((()())(((((((()(((()())())(())(())())))))(()))))((())()())))(((()((())(()(((()))())(((())()((((())))((((((((()))))))((((())())(((((())))))))))((((()))))()))((())((()))))))))()())(())())(()(((((()(()((())(((())())()(((()()))()))))(()(()((((()((()))((()(()()))(()())()))))((())((())(()())())))()))((()())((()))()(()((()))))((((()())()(()))(()((()(())))()))()))()(((((()))))(((()))()(()(())(()))))()))()()((((((((()))(())())((()()(((()))(())())))(()()))()(((((())(()()))((()))))((())))((())())())((((())())(((())())))(()))(()((((())(()(())()(((()()(())))()))((())((())))(((()(())(()(())))())(((()())(((())))))(())))()(()))(((()()(((()))(()(())))((()(())))))))())))()(()((())))))))))((()))((((((((())())))((((())())(((()((((())))))((((())()()))(())))))((()((((((()))))()()())(()())(((()(())))))((((())()())))))))(((()((()))(()(((())))((((())))((((()))))))(((((()()))))((()(()))()))(()))()))))((())))))))((()))))(())))"

Returns: 672242399
"(()(((()(((())(((((()(((())(()))(()(()((((()(()((()))(())))()((()((((()((((())))))))(((()()))(((()))))))))(((()))(()()((())))))((((((())(()((()(()()))(()))(((((((()))))))()))()(()((()(())))())(()((()())(())()(()())))))(()()((()(()())))((((())))(((()))(((()))(()()(()))((((())())(()())()()(())())())((())))()())()())())(()())((((()())()))((((())(((()((())((()))())))(((())())())))))()))))))(()))))(()))))((()(()(((()((((()(())(()()()(()(((())))))(()))(())())))))())))((()(((((()))))(()((()())))(((()()((((()))))()(()()))((())))((((()()((())))((()))((())(((()((())))))))()))((((()()((()())(()())()))))(((((()())))((()((()))((())))(()))(()))((((((()))))(()(((())))(()((((()))((()()()))))))((())(()))(((()))((())(()(((()()))))(((()(()))(()((()))))()))))))((()))))()((()))))(((())())(()(())(()())))(())())((((()((((()((((()())()(()())((((())))())))((((()())(((()()))((())))((()((()))(()))())))())))((()(((())((())(())(((())))))))((((()()())())((((()(())())(()()()))))((()))))(((()(())((((())))()))())((((((())))(()(()))))))))))()))(((()())))()((((((())())(((()()(()))))))(()())))(()()))((()((((((((())()))))((((()))())((((((()()))(()()())(())())(()))())())())(((()((((())())())))))))))())))(((((((()())()()))(((()())))))((((((()))()())(((())))(()(((())()()((()()))())(())(()(()(())(()(())(()(())(()())((())))))())((()())))()))(())))(((((()((((())(((()))())()))))))))(()((((((())))(()(((((()((())))()(((())))))()))(((((()(()))())(((((()(((((())))))((((()(()(())((())()))(()())))((()))))))))))))()))))((((((()(()(((()())))))(()(()(()((()()))))))())))(((()))))()()))))))((()((()(())())()))(()))))))"

Returns: 597791004
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Returns: 272476957
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Returns: 679196598
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Returns: 912115553
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Returns: 407302277
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Returns: 985251352
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Returns: 876392941
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Returns: 830957471
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Returns: 410572180
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Returns: 772565285
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Returns: 714450782
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Returns: 387591377
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Returns: 475425153
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Returns: 935763918
"()()()()()()()()(())(()())(()())(()())(())(()())()((())()()(()))(()())(()()(())())(()()())(()()()()()(()()()))(()()()(())())(())(()()())(()()()(())(())(())()(()()))(()()()()(()()()))(()()()()()()(())()(()()())(()()))(()()()()()()()()(())(()()))(()()()()()()()()(())(()())()()()(()())(()()()()()())(()()))(()()()()()()()()(())(())(()()())()(())(()()()())(()()()())(()()()()())(()())(()()()()())(()()()())(()()())(()()())(()()())(()()()()()()()(()())(()))(()()()()()()()()(())(())(())(()())))(()()()(())()()()()()(()()())(()()()()(()()))(()()()()()(())(()(())))(()()()()()()()()(()()())(()()()())))(()()()()()()()()()()()()(()()())()(()()()()())(())(()()()()()())(()()()())(()()()()()()(()()))(()()()()()(()()(())))(()()()()()()()()))(()()()()()(())()()()(())(()())(())(()())(()()()())(())(()())(()()()()()())(()())(()()()())(()()()()())(()()()()()()()()()(()()()()()()))(()()()()()()()(()()()()()())(()(())()))(()()()()()()()(())(()(()()))(()()())(()()()()()(())(()())(()))(()()()()(()())(()())()()(()()(()))(()))))(()()()()()()()()(()())()(())()(())(())(()()()()()(()()))(()()()()()()(()))(()()()()(()))(()()()()(())()(())()()((()))(()()))(()()()()()()()()(())(())(()()())(())(()()())(()()()()()()(()))(()()()()()(()))(()()()(())))(()()()(()())()(())(())(())(()()(()))(())(()()()()))(()()()()()()()()()()(())(())()(()()()()()(()))(()())(()()()())(()()()()())(()()()()()())))(()()()()()()()()()(()())(())()(())(())(()())(()()()(())(()()))(()()(()()))(()()()()()()()()(()()()))(()()()()(()()()())(()()))(()()()()(())(()())()()(()())(())(()()))(()()()()()()()()(())(()())()(()))(()()()()()()(()))(()()()()()()()()()(())(()())(())(())(()()()()(())())(()()()()())(()()()()(())())(()()()()()(())))(()()()()()()(())(())(()()()()()(())(())))(()()()()(())(()()()()()())(()()()()(()))(())(())(()()()()()))(()()()()()(())(())()()(()())(()()()()()()()()()()())(()()()()(())())(()()(())))(()()()()()()(()())(()())(()())(()())(())(()()()())(()()())(()()()()()()())(()()(())())(()()()()()()()(()()))(()()()((()))(())(())))(()()()()()()()()()(())(()())(()()())()(()(())(())()(()()))(()()(()()()))(()()()())(()()()()()()()()()(())(())(()()())(())(()()()()(()))(()()()(()()))(()()()(()))(()()()()()()(()())(())(())()(())((()))()))))"

Returns: 273439178
"()()(())(()())(())(()()(())(()))(()(()(()))(()()(()()(()((()))(()))))(()()))(()()()(()(())((())))(()()(()())(())))((()(())))(()()(()())(()()()(())()(()())(()))(()(())(())))(()()(()(())((())))())(()()(())(())(()())(()()())(())(()()((())())()(()())()())(()()(())(())((()))(()()()()((())()))))((())(())(()()(())(())(()()((()()))))(()(())())(()((()))((()((()()()))())((()()))(()((())))(()()(()()()(()())())()(()()()()()()(()())))(()(())(()(()))(()())))(()(())(())(()(())(()))(()((())()((()))))()(()()(())()(()()(()))(()()(())(())(())((())()))())((()(()(())))(()()()())(()()()(()()()))(()()(()())(()(())(())()(()))))(()()(()()())(()(()()))(()()(())())((())()(())(()()(()))(()()(())(()())(()()(()))(())))((())(()()(())(())(()()())))(()(()(()))()(()(()))(()())(()()()(()())()((())()()))(()()()()(())))(()(()()())((()()))(()()()()(())(()()()()((()))))(()(())())(()(())(())()(()()())(()()()())(())(()()()))(()()(())()(()((()(())())()))(()()()(()))))))))((()(()))()(()((()()))((())))(()())(())(()(()())((())()))((()))(()()((()())))(()()()(())(()(())()))(()()((()())()(()))((()))(()())(()()()(()())))(()()()(()())(()(()))(()()()()()(()()())(())(()()(()())(()))))(()(())(()()()(()))(()(())(()()))(()(()(()))()()(())(((()()))(()))))(()()()(()()()())(()(()()))(()()()(()()(()()))(()))(()()((()))()(()())((())()(()(()()))(()()(())(()))))((())(()())(()()()())(()()(()(())(()))())(()(())())(()(())()))((()())(((()))()(()()()))(()))(()(())(()(())())(((())())()()))(()(())(())(()())(()())(()()(()))(()))(()()((()))(()(()()))()(()))(()()()(())(())()(()(()))(()()(())(()()))(()()(((())))(()(()))(()(())(()))))))"

Returns: 949145148
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Returns: 579783335
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Returns: 658612824
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Returns: 547996548
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Returns: 330099323
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Returns: 527667368
"(()(((()(()(())(()(()(()))((()()()))()())(()()))((()()())(((()(()())(()(())((())(()))))(())))(()((()()))((((()))(((()))))()())()))))(((()()))((()())((()()(())))())((())(()(()(()(()()())(())()))((()(()()((())))(()()))))((()(()(()))(()(((()(()(())))((()()(())))((()())))))))((((()))()))))((())(()(()(((())()()())(()))))())(()((()(((())()())(()((()((()(())()())()((()(())(())(()(()())))((()))((())(()(()())))(()(())()))))((()()())((()(()))(((())())(()()())()))))((())(((()))(()(()))))))()()))()((()(()()(((()))(()()()))))(())((()((()()(()))((()()))((()))((())))())(((()((()))(((()))()))((((()())))((((()))))(()()(()((()(()()())))((())(((()()))))(((())()()()((())((())(()))))((())(())(()()())(((((())))())()))((((())())((())))()))(((((())))()))((())(())))))((()(()(())))))()()(((()(())))(()(((()())(())((())))))))()((()((((())(()((()()))))((()(()()()())((()(()(()()))(()()))))(((())(()))((((())())))))(()))(((()()(((((())))((()(()))))(((()()()()))()((()())()))))()(()(()))))())(((()(()(())))(()((())(((())))(())((((())))))(())(()((())(((()))(((()))(()()))))()((()(()))((()(())))((())(())(())))))((()())()(()((())))(((())(()()(((()))((((()))())((()())(()(((())()()))))))))))((())((()))))((())()(((()())(()()())((())))))())))(()(())(((())(((()))))(((()((())()(())))()))(()(((())))(((())(()(()))((()(()(()()))))((())(((())((())(())))((()()))(())(()))(()((())())))))((()(()))(())))))))((()((((())((()))()(()(()))(((()))((((())()))))))((())))(((())(()))()()))(((())((()(((())))))(((())()((())(((())))))((()(()(()))()((())))())(((())(((()())((()))))(()((()))))((()()))))((((())(()))((()(()))))((())))()))))))(((((((())(((())(((())()()((()((())((()))))(()()())))((()))()(()()((()))(()(((()))((())))(((((())))))))))))(())((((()()(())((()))(())))(((((())()())()((()(()))(((()(())()(()))(()())((())(())(()(()()())))))))))))(((()(())((()()))))((((((()(())))))(()(())(((())((((((())()))))((())))(((()())(((())(()))((())()()))(()()(())(()()))((())((()))(())))))((()()())(()(())(()(())()((()())(())))))(((()())((())()(()))()((()))()))))))))((()((()(()())(((()()(()))))(()(())()()))())(((()))((()((()))())(())(()()()())(()))((()(()))(()()((()())))(()()())(()(()())((()())((())))))))())(((()(((())(()(()()())())))(()()))())(((())(((())))((()(()))((()))(()((())(()(()))))))((()())((())))(((((())))(()((()))((()((()(())))(((())))(()(()(())))())(((()))(()(()))()(()(()))))())(()((())((()()))()())))))))(((((()()))((()()((())((())(((((()))))(((())))))()(((()())()(()()((()))(((())))))))))(()((((())))()()))))))))"

Returns: 10016394
"((((()(()((())))))(()((((((()))()(()(())(()()()())))()))())(((()(())())((()())))(((()))(())(((()((())(())())()()))((()())(((())((((()))))(()()((())(()))())))(()()))((()()(()())(()))()))((()()((()()((())))(()()(())((())()(()(((())(()(()))))(())))((())))())((()(()(()(((()))))()())(((()))))(((()(())((())()))(())))((()()())))()))(((()((((()((())))))))()(()(((()))((())()())())(((())))(((())(()))())())))))))(()(((((((()))(()()(((())()())(((()))())))(()(()())(((())(()()))(()(()(()((()))))()))((()()())())))(()((())(())(()()(())(()))))((()))((()(()()()(()()))(()((())(()))(()((()()))(()()()(()))((()())))(())))(()))))((()))((((()((())))(((()))(((())((())()))(()((((()()))(()()))((()(((())))(())))))()))(()(()())(()()(()()((()(()))()((()()(()(()())))))))))(((((()))()(())))((()))))(((()(()))))(((((()((()))(())))))((()(()()(()(((()()())))()())))((()(((())(()())))(()()((()))))(()()(()((()))(()))(()()))))((())))(((()(((()))))()((()(()))))())))))())((((((())(())())(())(((((())(()(()()))()))((((())))())))))((())()()(((())())))(((((()()))(((())))))((((())(()())))())(((()((()())(()((((()())(())()))))))(((()())()()()(((()()))((())((()((()))(()()))((())((())())))(()))(((()))(()()(())(()))((()))())(()(()(())))((((())(()(()((()))())))((()()))(((())))(()))()((())((())())()(()))((())()((((()()))())((())))(((()()))((())((()((())())))()(())(()))((()()(()(())()))))()))((((())(((()()(()()))))(()(((()())(()(()())(()((()(())(()()(()))))))())()((((())))()(()((()))))))(())(()((())(())(())))))())))((()((())())(()))((((()()))()(()()()((()))(((())((()))(())()((())()(()))()(())()))))(()(())((()))())(((()()())(((()(()))(((())))((())))(())))()((()))(((()()))))())(())(()(()((((()()))())((())(()))))))))(()()(((((((()())()))))((()(())((())(()(((()(())))))))())))))((((((()())(((())))(()()()()()((()()))(())))(()(())(())(())))))()(()(((())()(()(())))(((()((())))))(((((((())))))(((((((()))))(()))(()((())()))(()(()))(()((())())(((((()))))((()()))))(((())(())(())(()((()))(())(((())))))(((((())))())(((((()))()))(()(((())()))(())))))))))))))))"

Returns: 389790927
"((((((((((((()(()))))()((((()))((((((()(()))(()(()(()()))((((()((((((((()))(((())()(()()(())))))))))((((()()))((((())(())())())))))()((((((()((())))((()))(()((()()))(((()))(())))))((()((()(())))())()))((((())(()(()((()(()))(()(()))(()((())()))))()(((((()(()))((())(()((()))((())))())())))((((((())))))))((()()()((()((())))))))(()(()(()((())((()()))))((()(())((()))))()((()(()()((()(()()()(()))((((())(()((()))(()))))))))(()()((())))((())))))((((()()((())())))(()(()((())))))((())((((())))))(((()()((())))()))))(((((())())(())(()))))))))())(((((()(()))((())))))(((())()(()(())))))(())))))))()))(((((()(()()))(())(()(()((((((()))))((()))()))))(((()()))((((())))(())((((())()))))))(()((((()(()(()(())()())(()((()((())(()))))()))(((()())())(()))))))))()())()(((((((((()(())((())))(()(()())()(((()()))))))))(((())))))((()((())(((((()))))(((((())(()(()))))))))((((((((())))()))(((((()))))))((((())))())))(()))))()((((()(())()))())((((((()()(((()))())()))(()))((())))((()(((((()(()(()))())((())))(((()))((()(())(()())()((((()))((()())))(())))((((()()))))()(((()())())((((()))))(((()))))(((((()())(((()())))(()((())((())((())))(((()(())))())))((()()))((())))()))))()))())))(((()(())))(())(()(())))((((((((((())(()))((()()(()(())()))())(()())))((()(()))((((()))((((()()(())))(((((())()))(())(()((()))((())(()())))())))())()(())))))(()))(()((())(((((())(()())(()))(((((()((())()))))))))(((()(((()()())((())))((()(())))))((()))))((()())((()())((()))))))))()()))))))((())())))))))(((((((())())((((())(((((((()()))((())((()))())())((()(())()(()(())))))(((()((())()))))))))()))()))(()())())())())((()()((((((((((((())()))((((()))())())())))))()(((()((())))(())(((((((())(()))()))())((((()))()))))))((())(((()(()(((()))))(()))(()(()((((((()(())((((()())()))))))()((((()))((()((())))(()))))())((((()((((())()()))(()(())))))(((()(()))(()))((((())(()))(()))(((()(()()))())(((((()(()()))()(()())((()(())((()))((()()))))))(()))((()))()))))))((()(()(((())))(((((((())(((()(()()))((())))()))))))(((())(()))())(()))((((()(())))())(((()())(((())((((())(()))(((()())(())))()))(()))((((()(((()()))())))))))((((()))())(((()))()())))))))))((((((()(()()((())(()()))))((())))(((((((()(())))())((())))))(((())(()((())(((())))))))))(())(())((()(())(((())(()))((()(()))))())((()(((())))))))))))(())))))))())))))))))(((()(()))()())()))((())))()))"

Returns: 405130380
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Returns: 11086993
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Returns: 345667367
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Returns: 126279062
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Returns: 146123993
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Returns: 90394160
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Returns: 354652293
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Returns: 667365350
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Returns: 455104990
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Returns: 206174241
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Returns: 36268833
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Returns: 432276872
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Returns: 363337019
"(((((())((((())))))((()(()())(()(())()))((((()())(()((())())((())))(()))(()((((((())))(())))()())()((())(((()))(()(()))(((()))(()(())(()()))()())(()())))))(((()()))()((()))))))())(((()))(((((()))((()(()))((()(()))))(((())(()))(())))(()()((((()(())(()))((((())()())((((())))(())))()))))))((()((()))(((())))((())(((())))(()(()(()(())(())))))))((()(()()))((()))(((()(((()))))))(((()(((())))))(((())())(((()))((((())))))(((())()((()()(()())))(()((()))))((()()(())())())())))(((())(())(()((())((())())())))((()(((())(()(()))((())))(((()))()(())((()((((()))))(()(()()))((())(())(()(()(()(())(()(()()))(())))((()(()))))))))))))(())))(((((((()()))((()()(((())))))))(((())((()))((())(((()()))()())))))(()((())((((())))(()(((()(()))(((())))))((()(())()))))((()()(()))(()(()()(()()((()))))((()))))(()(()(((()))((()(()))((()(()(())))))((()(()(())()(())())(()(()(()))((())(())))(((())))()((((())(()())))(((()(()))((())(()()))((((()())(()(()()())))))))))((((())))))))))))))((()())((((())(()((())))((()(()()))((((())())())(())))(()(()(())()))))((((()))))()))(()((((()(())((()(((())(()(())())((()(())())))))))(()(((((())())(()()))(()(())((()()()))(()))))((()(())())(((()))(())))(()(())(()(()))(()(()((())((()()))))(()))((()())(()()(((())))()))())))((())()((()(()())(((()()))()))())((((()))()((())(()))))((()()((()))))(((((()))(((()(()))(()()(()))())((())(((())))((()())(()())((()(()))(()(()()())))(()(()(()()))))((()((())())())))(((()))()((())(())(((()))((()))))))))(((((()()(()()()))())((()(())))(()((())())((()()()(())((()((()))())))))(((()())(()()))((((()((()))()))(()()))(((()))(((()))))((()((()(()()(((()))())))))))()(((()))(()(()())((())(((())))()((())))))))(((())((())))((((((()))((())()())((()()())(())))((())((()())))()()(()()(())(()((()())))))()((((()())())())())()))(((()(())))((()(()))((((())))))(((())(()(())((()()((()))))))(()(())(((()(()))(())()))((()(()(())))())))))))()))()))(((((((()()))(()(()))((()(())((())((()))()))()))))((()((((())))()(()(()((())(())))(()())(()(())))))(((())(()((())()((()))))())))(((()()())((()()()((()())(())()(())((()))))(()())))(()((())(()))(()))(((()))()((()((())()))((((((((())))(((()())))(((((()))(()))()(()())((())())(()()(())))((()((())))()))))))((()(())))))))(())((()(()((())((())))(()(()(())))))((()((())()(((())))))())()))))())"

Returns: 515268205
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Returns: 999911988
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Returns: 927221561
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Returns: 339979936
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Returns: 580208059
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Returns: 150942489
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Returns: 337823304
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Returns: 741849032
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Returns: 685382794
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Returns: 183693723
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Returns: 84435698
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Returns: 582811451
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Returns: 997574582
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Returns: 10456782
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Returns: 696919454
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Returns: 446201819
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Returns: 861519067
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Returns: 542493194
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Returns: 9018161
"(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))"

Returns: 569298114
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Returns: 847917907
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Returns: 5493753
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Returns: 688423210
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Returns: 609917421
"(())()(())(()(((()()))()((()()))())())()(()()()()()()((()()()()((((((()()((()((()))()((((()())((((()))()))()))(()(()()(())()))(((())()(((()()()((((()))))(((((((()((()((()()()()(())(()))))()()))(((((()())))()((())(()))())()(()()()()()(()()()))((()()((()((()()))))))(()((()()(()()()((()())()(()()())(())(()(()()((()(()(()((()(()()((()(()()(())((((()()))()))))(()()))())(((())))))))()))((((((()(((()))()(((((()()()())))()()()()())(()(((()))(()()(())(((((())((()))(()(()(())()())()))(()((()()())))))()))()))(()())())))(()())()()())((()))((()(((()(())()(((((()())(((()(((())(())))((()))((())(()(())())())(((((())())(((())((()))((()()((()))()()((()())))())))(())()())((()((()())(())())))))))(((((()((())))(()))()((())))()()((()))()((())())()((())(())((()())((((())))()((((()()()))())()))()(()(((()()(((()))))))(()()()()()))))))()(((()(()((())(()(((())()))())((((((()((((((()())(()(()())()()(()()(())(()(()())()))())))()()(()(()()))()()(()()))(((()))((()))()(()))))()(((())))()))(((()))))))()(()())()))()())(()))))()))())((((()))())))((()()(()))()()((()()(())))(()((((()))))())(()((((()((((()))))))((((((((()())())))))))))))))))(((()(((((())(((()))((()()))(())((())())()))())()())(()()())(())))))(())(()()()(((()((((()((())(()))()(())((()()()((((())())))(())()()(()()))(()))()))((((())))))())()((())(()()()))())((()(()(((((((((()(()(()))())))()()((()((((()())))()))(((((()())())))()()))((()((())))())()))))()))()((((()))()(((()(((()))((())(()((()))))))(())()))((())(()))(()())))()(((())(((()())()()()(()(()()(()()(())(()()()()))()())()((()()(()())))()((())))()))()())()())(()()()(()(()))()(())((())(()((()(((()(())))(((((()))))((()))))(()((()()(()(((()((()(()))))(())(()(((()(((()))())()))()(((()()))(((()((())(((())()((())()((((()(()))(())(((()(()())((()(((((((())(((((()))(())()(((()()(()((((()((())()))()())))(()(((()))()()(()((()())(((())(()()(())))))())(())))))()(((((((()())(())((()))()))(()))))))))())()())))))))()()((())))(((()))(()(()())))))))((((()))((()())))((()()())()))))()(()()((((((()))()))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))"

Returns: 108604341
"(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())(())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))"

Returns: 372224439
"(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))"

Returns: 641419708
"()()(((((()()())(())()(((()(((())))()(())()()))()(()))()))()(((()(()()())))()))()((()()(((((((()(())()()(((((((()(())()(()((((((()(()))())()()()())()))()())()()()()())((()))()((())(()((())(()))(())())(())()))))(((()((()())(((()()())()(()()))()()(()))())))))))())()(()(()))((()()))(((()())())(()())))())()()((((())))((())()()))()())()()((((())(())((((((()()())))()))()(()(())()))))()))))()))))(())()(()(()(((((()(((((())()()(())))())(((()())(())(()()))((()(((())())(()(())())((()(((()((((()(()()()))))))))()))))(((()())(((((((())()())())(())())(()))()(((()()))()))()))((()()))))))(((())()()()(()(()(()((()(()((())))())()((()((()(()))))()))(()(()))))(((((())(())())())(((((()))))()((()()((()())(()(()))()))()()()()))(()())())((()))()((()()())))(()()()()))(()))(())()()()((((((())(()(()()((()(()()(())(()((()(((())(())()()(((((()((()(())(((()())()((())(()()((())())))())))(())()())))))())(())((()(()))(()(((()(()())(()(()()())))())((())()))(()(()(((((((()))))(((()(())))()()((()()()())(()()()((()))(()))((((())()()(((()(())))((((()((())(((()))))(()()(((()(())(()(())(()((()(()()()))())))))))(((())())))))(((()()((((()((()(())()))((())((()()()())((()((((())))))())()(()())(()(((())(()()(()))))))(())))(((((((((())(((()))))((())(((()(()))()((()()())))))))()(()()((()))))((())))))))(()()()(()(((())))())())((((())()))()))()()(((())(())((())())()(()((()))((()))()(()()((((()))))()))())((((()))()))()()))))((())))())(()(())()()))))))(())()))())(()))))((((()()())())())()()(((()()))))(())(())()()())((())(()))((()())(()(()()((((((()(((((())))()())()))))()((((())()(()((()()))))()(()(((())(())()(((())(((((()(((()))))())(())(()()(((())))())()()(((())))))(()(()))())(()))((()()()())(((()(())(()))))))(())(()()))))))))))))))))))))))))))))))))))))"

Returns: 221317733
"((((((((((())((((((((((((((((())((((((((())((((((((((()((((((()))))())))))()))))))))))((((((()((((((()))))())))))()))))))))))(())((((((((())((((((((((()((((((()))))())))))()))))))))))((((((()((((((()))))())))))()))))))))))((((())((((((((())((((((((((()((((((()))))())))))()))))))))))((((((()((((((()))))())))))()))))))))))(())((((((((())((((((((((()((((((()))))())))))()))))))))))((((((()((((((()))))())))))()))))))))))((())((((((((((()((((((()))))())))))()))))))))))((((((()((((((()))))())))))()))))))))))(())((((((((())((((((((((()((((((()))))())))))()))))))))))((((((()((((((()))))())))))()))))))))))((((())((((((((())((((((((((()((((((()))))())))))()))))))))))((((((()((((((()))))())))))()))))))))))(())((((((((())((((((((((()((((((()))))())))))()))))))))))((((((()((((((()))))())))))()))))))))))"

Returns: 138141169
"()(((()))(()())((()(()(()((((((((((()))))(((()())())())())())))()))()(((()(()))(()))(())(()))(((()))(()()))))(()))(()(()((())((())))(())()(()()((()())())))()(()()(()())())()())()()))(()()()())()(())()((())()())()(()(()))((()((()())))()((()(((()(())))))))()(()(((()(())(()))())()((((((((()))(())((()())()((()(()())))()))())))(()(()()((())()))()()()))))(((((()()(()())())(())())))()))()(())()((()()(()())(()((()))())((()))()))()((((()(())())))()())()((()())())()()()()(()()(()))(((((()))((())(((()()))()()))((())()()()))))()(()(((((()))(((()(()((((()()()((()()))))(()))(()))()))(()()()))()((()(())((((((())((()()())(()(()(()((()((())())(()()))()()))((()()()((())))(()((()(())(()(((((()(()())()()()()()(()))(()))))))))(()))))())()())())(())))()(((()))((()(())(())))))((())(((()()((()))()(((())(())(()()()())()(())((((()(())(((())))))(((((((())(())(((()()))()(())())()()((((())((((())()(())(()()()(()((()))(())()(()((()())))()((()))(())))()))))())()))))((()((())(()())(())))(())())(((((()))))())()())())(()))((()))((())())()))())(()()))))())()()))(((())))))())(()((()((()())(()))(()(())(())(())())))(()()())())(()((((((()()())((())))((((()(()((())((((((())()))(()(()(()))(((()()((()()())()()(()()((()(((())))()(()()(()(())((()))())())((())))())(()))))(()()())(()()())((()))()))((())))(()()((((((()(()())))))())((())))())))))(())))(()((())()())())))))()))()))(((()((((((())())())(()()(()((()(()(())))))(())(()()((()(()()()())((()(()((())(())))()()((()((())))())(()))))((((())))()))((((()()))(())))())(())(((((((()(()))(((()()(()))())((()(()()))((((()((()()(()(((()))))))()))()()))))()((()))()()()))((()))))()((())))(())(()(())))))())())((())(())(((()(())))(()))())()())()(())(()(()(())())((((())()((()(())))())()))))()()()(())(())))())((()((()))((((()((())()()())((((())()()(((()())((()))())(((()))(()(())))()((())(((()((((((((())())())()())))(()(())())()()(()((()(((()()(()((((((()(()((()()(()))(()(())(((()()(()))))(()()(())(())())))()())))(()))())))()()(()(()()))())((()))(((())(())())()()))(()))))))))(())(((())()())))()((())((((((()(()))()(()(((()))))()(()()(()()))()))))))()()()()()(()()(((())((()))((()()))))(())))()))))())((()())(())(()((((()(((((()))((()))())(((()())(()(())))()(()(()()))))())))(()(()))))))())(()(()))((()(()((((()()()(()((()((())))((()())))()(())(((((((()))))((())()))())))())()()((()()()())(((()()))())))))()(()()(()()(()()((()())()((()(())))()()()))(())()(())))()))))))(()()()((())))((((())()())())())))()()())()((()(())(((()(((())()()()))))(()()))()()(((())))))))"

Returns: 524471147

Statistics

Problem Statement for "ParenthesisRemoval"

Problem Statement

Definition

Constraints

Examples