#Brain-Flak, 118 84 + 1 = 85 bytes

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([[]]<{({}<>)((((()()()()()){}){}){})<>}>()){({}()<(<>({})<>())>)}{}<>{}{({}<>)<>}<>

This requires the -fc flag to run giving it an extra byte. -f flag is standard for passing input.

##Explanation

([[]]<        #Store a copy of the stack height before hand in the scope
 {            #While there is something on the stack...
  ({}<>)      #Move something over and...
  ((((()()()()()){}){}){}) #Put a paren on top
  <>          #Swap back
}
>())          #Put the 1-stack height down
{             #While that is not zero
 ({}()<       #Add one and
  (<>({})<>())#Silently move a copy of the top of the other stack over (close paren)
 >)
}{}
<>{}          #Remove extra open paren
{({}<>)<>}<>  #Combine the two stacks

Brain-Flak, 118 84 + 1 = 85 bytes

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([[]]<{({}<>)((((()()()()()){}){}){})<>}>()){({}()<(<>({})<>())>)}{}<>{}{({}<>)<>}<>

This requires the -fc flag to run giving it an extra byte. -f flag is standard for passing input.

Explanation

([[]]<        #Store a copy of the stack height before hand in the scope
 {            #While there is something on the stack...
  ({}<>)      #Move something over and...
  ((((()()()()()){}){}){}) #Put a paren on top
  <>          #Swap back
}
>())          #Put the 1-stack height down
{             #While that is not zero
 ({}()<       #Add one and
  (<>({})<>())#Silently move a copy of the top of the other stack over (close paren)
 >)
}{}
<>{}          #Remove extra open paren
{({}<>)<>}<>  #Combine the two stacks

#Brain-Flak, 118 84 + 3 = 87 bytes

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([[]]<{({}<>)((((()()()()()){}){}){})<>}>()){({}()<(<>({})<>())>)}{}<>{}{({}<>)<>}<>

This requires the -c flag to run giving it 3 extra bytes.

##Explanation

([[]]<        #Store a copy of the stack height before hand in the scope
 {            #While there is something on the stack...
  ({}<>)      #Move something over and...
  ((((()()()()()){}){}){}) #Put a paren on top
  <>          #Swap back
}
>())          #Put the 1-stack height down
{             #While that is not zero
 ({}()<       #Add one and
  (<>({})<>())#Silently move a copy of the top of the other stack over (close paren)
 >)
}{}
<>{}          #Remove extra open paren
{({}<>)<>}<>  #Combine the two stacks

#Brain-Flak, 118 84 + 1 = 85 bytes

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([[]]<{({}<>)((((()()()()()){}){}){})<>}>()){({}()<(<>({})<>())>)}{}<>{}{({}<>)<>}<>

This requires the -fc flag to run giving it an extra byte. -f flag is standard for passing input.

##Explanation

([[]]<        #Store a copy of the stack height before hand in the scope
 {            #While there is something on the stack...
  ({}<>)      #Move something over and...
  ((((()()()()()){}){}){}) #Put a paren on top
  <>          #Swap back
}
>())          #Put the 1-stack height down
{             #While that is not zero
 ({}()<       #Add one and
  (<>({})<>())#Silently move a copy of the top of the other stack over (close paren)
 >)
}{}
<>{}          #Remove extra open paren
{({}<>)<>}<>  #Combine the two stacks

#Brain-Flak, 118 84 + 3 = 87 bytes

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([[]]<{({}<>)((((()()()()()){}){}){})<>}>()){({}()<(<>({})<>())>)}{}<>{}{({}<>)<>}<>

This requires the -c flag to run giving it 3 extra bytes.

##Explanation

([[]]<        #Store a copy of the stack height before hand in the scope
 {            #While there is something on the stack...
  ({}<>)      #Move something over and...
  ((((()()()()()){}){}){}) #Put a paren on top
  <>          #Swap back
}
>())          #Put the 1-stack height down
{             #While that is not zero
 ({}()<       #Add one and
  (<>({})<>())#Silently move a copy of the top of the other stack over (close paren)
 >)
}{}
<>{}          #Remove extra open paren
{({}<>)<>}<>  #Combine the two stacks

#Brain-Flak, 118 84 + 3 = 87 bytes

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([[]]<{({}<>)((((()()()()()){}){}){})<>}>()){({}()<(<>({})<>())>)}{}<>{}{({}<>)<>}<>

This requires the -c flag to run giving it 3 extra bytes.

##Explanation

([[]]<        #Store a copy of the stack height before hand in the scope
 {            #While there is something on the stack...
  ({}<>)      #Move something over and...
  ((((()()()()()){}){}){}) #Put a paren on top
  <>          #Swap back
}
>())          #Put the 1-stack height down
{             #While that is not zero
 ({}()<       #Add one and
  (<>({})<>())#Silently move a copy of the top of the other stack over (close paren)
 >)
}{}
<>{}          #Remove extra open paren
{({}<>)<>}<>  #Combine the two stacks