Vertical Indent

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Problem

Indent vertically the nested parentheses.
-- tails

Options

exec is denied

now post-mortem time, all source codes will be revealed

Sample input:_

((()(()(((())))(())((()(()()())())(())(()()))()())(())(())((())()(()(()))(()))))
(()(())(()((()(()()))())()()())(())()((()))()(()())()(())(()(())())((()))(()()))
((()(())())()((())())()()(())()(()())()(()()()(()()(()()))()()((())(()())())()))
((())()(()(()))()()(()(()())()(()((()()))(()()()))(())((()))((())()())(()()())))
(()(())(()()()(()()((()))(()))(()())(()((()(())())(()())()((())()))()(()))()()))
((((())()))(()()((())((()))()(())(((()()))(()))()(()((())))())((())())()((()))))
(()(())()(()()(((()))(()()(()))()(()())(()(())())()(((()))())((())())(()))(())))
(()()((())()())((())()(()()()((()(()(()()))(()()))))()()()(()(()())((()))(()))))
(()()(()(()(())))(()())()((()(()()(()))()()((())()()))((()())()()(()()))(())()))
((((()))((())()))(())(()((()))(((()())(())))()(())()(((()))())(())(()())()(())))

Sample output:

(                                                                              )
 (                                                                            )
  ()(                                            )(  )(  )(                  )
     ()(      )(  )(                        )()()  ()  ()  (  )()(      )(  )
        (    )  ()  (            )(  )(    )                ()    ()(  )  ()
         (  )        ()(      )()  ()  ()()                          ()
          ()            ()()()
(                                                                              )
 ()(  )(                      )(  )()(    )()(    )()(  )(        )(    )(    )
    ()  ()(            )()()()  ()    (  )    ()()    ()  ()(  )()  (  )  ()()
           (        )()                ()                    ()      ()
            ()(    )
               ()()
(                                                                              )
 (        )()(      )()()(  )()(    )()(                                      )
  ()(  )()    (  )()      ()    ()()    ()()()(          )()()(            )()
     ()        ()                              ()()(    )      (  )(    )()
                                                    ()()        ()  ()()
(                                                                              )
 (  )()(      )()()(                                                          )
  ()    ()(  )      ()(    )()(                  )(  )(    )(        )(      )
           ()          ()()    ()(      )(      )  ()  (  )  (  )()()  ()()()
                                  (    )  ()()()        ()    ()
                                   ()()
(                                                                              )
 ()(  )(                                                                      )
    ()  ()()()(              )(    )(                                    )()()
               ()()(    )(  )  ()()  ()(                          )()(  )
                    (  )  ()            (        )(    )()(      )    ()
                     ()                  ()(  )()  ()()    (  )()
                                            ()              ()
(                                                                              )
 (        )(                                                                  )
  (      )  ()()(                                            )(      )()(    )
   (  )()        (  )(    )()(  )(            )()(        )()  (  )()    (  )
    ()            ()  (  )    ()  (      )(  )    ()(    )      ()        ()
                       ()          (    )  ()        (  )
                                    ()()              ()
(                                                                              )
 ()(  )()(                                                                    )
    ()    ()()(                                                          )(  )
               (    )(        )()(    )(        )()(        )(      )(  )  ()
                (  )  ()()(  )    ()()  ()(  )()    (    )()  (  )()  ()
                 ()        ()              ()        (  )      ()
                                                      ()
(                                                                              )
 ()()(        )(                                                              )
      (  )()()  (  )()(                            )()()()(                  )
       ()        ()    ()()()(                    )        ()(    )(    )(  )
                              (                  )            ()()  (  )  ()
                               ()(        )(    )                    ()
                                  ()(    )  ()()
                                     ()()
(                                                                              )
 ()()(          )(    )()(                                                    )
      ()(      )  ()()    (                          )(                )(  )()
         ()(  )            ()(        )()()(        )  (    )()()(    )  ()
            ()                ()()(  )      (  )()()    ()()      ()()
                                   ()        ()
(                                                                              )
 (              )(  )(                                                        )
  (    )(      )  ()  ()(    )(            )()(  )()(        )(  )(    )()(  )
   (  )  (  )()          (  )  (          )    ()    (    )()  ()  ()()    ()
    ()    ()              ()    (    )(  )            (  )
                                 ()()  ()              ()

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