Skip to content

Instantly share code, notes, and snippets.

@cosmologicon

cosmologicon/tree-embed.txt

Created January 25, 2019 22:34
Show Gist options
  • Star 0 You must be signed in to star a gist
  • Fork 0 You must be signed in to fork a gist
  • Save cosmologicon/dcf49d29c563dfc36a3d1c5053124be4 to your computer and use it in GitHub Desktop.
Save cosmologicon/dcf49d29c563dfc36a3d1c5053124be4 to your computer and use it in GitHub Desktop.
Download ZIP
Pairs of tree representations for Daily Programmer #373: which ones are embeddable?
Raw
tree-embed.txt
(((()(())(()))()(()())()())((())(()())(()()())(()()()()()(()()))(())())(()()()())((())()()()()()(()))(((())()((())())(()))(()())(()((())()())())((())())(()()(())(())())(()()())(()))(()(()()()()())(()()()(()())()())()()()(())((())()()(()()())))((()(())(()))()())((()()())((()())(()())(()))(()())()((())()())(()()()((()(()))())(()(())()())(())(((())())()()()))(()())(()()()(((()))())))(()(())(())(()))) ((((())()(())())()((())()()())(())()(()())(())(()(()())()(()()())()())(()(())((())()(()))))((())(()())()()(()(())())()(())(()(())()))(()(()()())(()()(())()())(())()(()()(()())(()()))(()())(()))((())(()(()())())((()())()())(()(())())((())(())()(())())((())(())(()())(()())(()(())(()()())()()())(())(())(()()(()())()(())()))((()()())(()()()())()(())(())())(()()())(()(())()))((()()(())(())()())(()((())(((())))()())(())(()(()())()()()(()))(())(()))(()()())(()(())()()())(()()(()(())()(()()()())()(())())()()(()()(()()()())()(())()()())(()()()())(()())(()()))(()()()()(()(())()))(()()(()(()()))()()()(())((())()()(()))())((())((()))(()())(())())(()()(())))(()(()(()())(()))()()(()()()(())(()()))(()))(((()())(())())(()(())()()((())())())(()(()(()())()(())(()))()(()()()()())(()(())())(())()(()))((()())()()())(()(())(()))((()()())(()())()()(()))((()()()(())(()()())(()))(())()((())()((())(())))(()()()()())()(()()()()(()))((()()()())()()))(()()(()(())(()))()()(()(()))(()()()()))((()(()()()())()()()()(()()))(()())((()))(((()())())()(())()(()())(())())((())()()(())())(())()((())()())(()()()()(()))))((())(())(())()((())()(()))((())(())()())(()()))(()(()())(())()(())((()()())())(()())((())(())()(()))))
((()(()()()()))((()())(())()(()))((())()(()())())(()(())())((()())()(()()(()())())()()(())(()(())()()()))((()(())()()())(()(())(())()(()()))((()))(())(()()()()())()((()()))(()(()())()()(()()((())))()()(()))((())()))(()(())((()))(()))((()())((())())()()(()(())(()))(()()(()())(()))((()))())((())((())((()))()(()))(()()()((())(()()())())(())(()))((())()()()(())())(()()(()()))(())(()())(()())(()()()))) (((()()())(())((()())(())()(()))(()()(())()(())(()))(()(()))()(()((())(()))(())(())(()()(()))(()()))(()())(()()))(()((()))((()())())()((())()(()()())((()))())(()())(()()())())((())(()(()()))()(()(()()))(()())(()())(()))((()()())((()())()()())((()())()()(()()()()))(((())()()())()((()())()())((()())(()())()())()()((())())(())(()(())))(()(())(()))(()()())((()(())())(())((())()())()((()))(((()))()(())())()())(()()(()()())()())(()()()()(())()(()()(()))(()()()())))((()()(()()())())()(())((())()()())()())((()())()(()(()())()())()(()())(()()()())()((())()()()))((((())()()(())())()()()(()())()(()()()()))(()(()())((())()((())(()))())()(()()())(()()()(()(())())((()()())()()()()))(((())())(()))(()(()(())(()))()()(()))(()()))(()(()()()())(())())(()(())()(()())())((()())(())()())((())(()()())(()())()()(()(())(()))())(()(())()()())((()())(()(()())()()(()))((((()))()())(())()())(()()(((())))(()()))(()(()))(()())(())(())(()))((())()()()()(()(()))))(((())()()())((()))((()())()(())()())(()()())((()(()())(((()))))()()(()(()))(())(()()))(((()))()(()())()()()(()))(()()())(()()())((()()(()())()())()()(())()(()(())(())())(()()())()))(()(()()(())()()()(()))((()())()(())())()((())(()()(()))(()))((()()))()))
((()(())(())(())((()())()()())(()())((())(())(()))((()())(())()(())()())(()()()()))(((()))()()()()())((())((()))())((()()((())()())(((())))(()))(()())(()())((()())(())()())((())((())(()()()))(())((()(()()))())((()))(()()))(())(()()()())(()((())())()(()))(()(()(()))()(())))(()()()(()))((())(())()()()(()()))((()())(()())()(())()()(()))((())()()()(()))((()()()()())()(()(())(())(()()()))()()(()(())))) ((()(()()())(()(()((())(()))(())()())(())()(()()(()))((())()))(()()(())()(()())()(()()())())(()())(()((()))()()()(()))(()())((()()()())(())(()(())(())()(()))(())(()())(()(()))))((())(()()())()((()()())()()(()())())()()(())((())()()()))((()()()((()))(()))(()(())(()))(((()())()()())()(()(())())()(())()())(()(()())(())(()())())((()())(())(()))((())(())(()))(()(()())())(()(())(()()())(())()(()(())((())())())())((()()(())(()()()())()())(()(()))()(())((()())(()()))()(()()()(()())())(()()()())))((())((()))(())(()())((())(())(())(()))(()())((())()))((()()()())((()())(())(()())())(()())(())(()(())(())(()()(()))()((())(())(())))()()(()())(()(())()))((()())()(()((())())(())()())(()())((()))(())(()(())()())((()())())())(()(()(()())(())(()))(())(()()(()))(()())(()())((()())()(()())())(())())(((())(())()(()()))(()()())(())(()())()()())(((()(())())((())(())(()))()(()())())((()()())((())()(()())()(()()()(()))(()))(()())(())(())((())()(()(())())()(())(())())(()())()(()()(())))(())((())()()(()))(((()(())())(())()())()()((())())(()()()(()()))((()())()()(()()))(()()(())(()())))((())((()(())())()(())(()())())(())(())(()()(())())((()())(())(()()))()())((()())()())((()())(()())()(()))(()(()())(())()())))
(((()())(())((())()(())())(())((())())(()())((())()(()()()())(())())((())()(())()()(()()())))(()()()()(()())())((())()()(()())())(()()(())()()())((()())()((()))((()()())())((()()(())(()))(())()(())()(()())))((())()(()(()()))()(()(()()((()())())((())()))(()())()(())(()()())())((())()(())()(()))((())()()())(()(()))((())()(())(()()())((()))))(()()()(()(()))(()()()(())))(()()()(()))(()()()(())((())))) (((()()()(())(()))(()(())())()()(())((())()()(()(()))(()())(())())(()()(())())(())(()()))((()(()()())())((())((())()(())(())((())))()((())(()(())()())()()()())(()())(()(()))(()())(()))((()((())((())))())(())(()())()(()())((())())(()((()))))(()(()()())()()(())()(()())())((())(()(()))(())()()((())()()()))(()()()())((()()()())()())(()())((()()())))((()())((()())()((())(()())()()(())())((())()(())())()(())(()(())()()))(()(())()()(()()()(())())())((())(()))(((())))(()(()))(()(())((())()))(()())((())(())(()())))((()((())))(())((()())()(())(()(())()())())(()()()()()())(()))(()(())(()(()))()()(())()(()()())())((())((())(()(())))(()(()())())(()()())(()())()(())())(((())()(()))()((())()()()()())(()(()))()(())()()())(((())())((())(())(()()))()(()()((())())(()())())(()())()())(((()())()()(()))((())()(())())((())()(())(()())(()()())()((()())()())()())(()(())()(()))((())((()))()(())(()))(()((())()(())()(()))(()())()(()(())())()(()()()())())((()(()()()(())())(()())(())(()()))()(()()()(()))(()(())()()(()))(()()()(()())(())())(()()()())(()())(()()()))((((())(())())()(()()(())())(())()())((())(()()(()))(()()()())(())()(()))(()()())(())(())(()()())((())(()))((())()(())()()(()()()()))((())()))(()())))
((()(())())(()(())()(()))((()()(()))((())())(()()(())())(()()(())()(())(()()(()()()))((()()()())()))((()))(()()())(()))(()()((())()()()()()())((())(())(()))((())()()())()())(()((()))()()()((()))(()())())(((())())((()))(())()(()))((())()()((())())()())(((())(()())(())(()))()((())(()())(()))(()(()))(()(())(())(())()(()))((())())((()()(()))((()())())(()())()((())()()())(()))(())(()))(()((()()))()())) ((()(()())((())()()(()))((()())()()()(()()(())()())(()()))((()())(()()(()))()(())(()()))(()()())(()())((()))(()()))(()((()())()()())(()())()(()())((()())(()()())()())(()()))((())((())()()()())(()())(()(())(()))((())(()))((())(()())))((()()())(())()(())(()()())(()()()(()))()(()()))((())(())((()())(())(())(())()())(()()(()()))(())(()))((()(()()(())())((()))(()()())(()()()()(())())(())((())()(())(())()(()))(()(()()(()()))()(()()())())(()))(()()(()))(((())())(()((())())(())(()))(()()(()()())()())(())())(((())(())())((())(())(()())()()()())(())(()()(())())(()(()))(()())(()(()(())()))((())(())(()())(())(())(()(()()())()))(()()(())(())))(()(()))(()()(()))((((()))())()(())(()())()(()))(()(()))((()())()()()(()(()))))((())(()())((()(())()())(()())())(()())(()(()())())(())()(()()))((())((()()())(()()())()(())(()(()(()))()(()))((()))(()(())()))(()(())()(()))((()())()(())(()(()))())(())(()()())(()(())()()()(()))(()())(((()))(())()()()()))((((()())())(())()())((()(()())()(())()())((())()()()()(()())(())())((())(()())())(()())(())()(())(()))(()(()(()))(()(())()(()))((())()()()(()())())()(())(())(()))(()(()(()))()()(()())())(())(())(()(())()()((())())(()()()()())(()))((())()()(()))(()()()(())())))
((()(())((())()))((())(())(((())())(()())(())())(()()())((())()()()())((()))((()())()()()))(((())(())())(())(()()((()()())(())())(())(()))(()((())(()))()(())())((()))(()(()(()())(())())()(()(()()()))(()())())(()()())(()())(()()))((()()())()())((()(())()())()()()())((()()())(())(())(())(()))(()((())()())()()()(())())(()(()()(()))(()()(())())(()()())()(())(()()(()())()())(()())(()()()))((())()(()))) (((((()))(())((()()))()(()(()()))(()))(()())(((()))(())((()))((()())()))((())(()()())(()(()()())(()))(()()())((()()())()()()()()))(()()(()(())())())(()()()(())())((()(()()())(())())(((())))(()())(()(()))((())()(())(()))(())(()(()())()(())(())))(()(())())((())()()))((()()()(()()))((())(()()((())(())())(())()()(()())())(()())(()())(()())((())(())()())((())((())()()(()))(())())(()()()()(()()))())((()())()(()())()(()(())())(()()()(()()())()())(()(())))(((())())(())()()(())(()()()()))(()()(()(()))(()())()(()))(()()(())(()(()())()))((()())()())(()(()()(()))((())(()()())()(())(()))(()())()()(()(())(())()()(()))(())(()))(()(())()(()(())())(())(()(()))(()())))(((())()()()(()))(())()((()(()))()(())()(()))(()()()()())((())))(()(()())((())(())(())()()(()(())))(()())((()())(())())((()()())(()())(())((())(())())(()(()()))(()(())()()()(()(())())))(()()()((())())(()))((())()((()))))(()()(()())(()((())())()())(()()(()))()(())((())(()())()()))((())()(()(()()()())())()(()()()()()())(())(()())(()))((()()())(()(()))((())(())()())(())(()())()((())()())(()()(())()(())(())(())((())))(()()()()(()())(()())))(((())())(())(()(()))(())()()()(()(())(())))(((()))(()((())())()(()()))()(())(())()(()(())()()(()))))
(((())()()((()))(()()())()(()))(()()()((())(()))(())())(()(()()(())()())(())(()(())(()))((()())()(()()()()(()))()()(()))(())(()())(())(((())()())()()(()())()))(()(()()())(()())(()()(()))()((()()))(()())(()))((())()()(())(()()))((())()(())((())))((())(()()(())(()(())())(()())())(()())(())()(()((()))(())(()))((()())(()()())()()()())((()())()()())(()))(()()(())(()(())())())(()(())(())()(()()(()))())) (((()(())(())()(()())(()(()())()(()()))((())(()()))(()))(()())((())())(()()(())())((())(()())())(()())(()())((())((())()(()))()((())(()()))(()()()()())(()))())(((()())(()())()()(())(()))(())(())(()(())(())(()))(()(())()(()))(()(()())()(()()())((())()()(())))(()())(()()()))((()(()()()())(()())()()()())((()(()))()())(((()))(()()())(()()()())()(()()()()(())())())((())(())(()())(())())((())()((()))()())((())(()(())()())(()())((()))(()(())()(()())()(()()))(()())(()())(()()()(((())))()(()(()))))((()((()())()(()()))(())((()))(()(()(()))))((()()))()(()(()())((()())()((())))())((())()(()())())((())())()(())(()))(()(()))((())()(())(())))(((()())(())(()(())()(())(()()(()()))())((())()()()())()()()((())(()(())())()()))((()())()())(((()()(()))()(())())()()(())()()()(()(())()()())(((())())(())(())()))((())()())((()()())((()))()(())((())()()())())(((())()()()()())(()())()(()(()))((()())(())()))((())()(())())((())()())((())()()()()(())))((())((()))((()()())()())((())()()())()())((()())((())(()()))((())())(()(())(()))(()))(()()((()())()())(()())(()(())()())()(()(()))(()()))((()(())((()))())((())()()())(()())(())((()())()())(()))((())((()))(()(()()())(()())(())(()()))(())(()()(()()))()(())(()())()))
(((())((())()((()(()))()()(()))(()())(())(()()())(()()))(())((()())()(())())(((())))(()((())(()))()())(())(())(()()(())))((()()())(())()()(()())(())()(())(()()))(()(())(()())(())())(()(()()()()(()(())))(())(())())((())((()())(()))(()()()(()())(())()()()(()))((())(())(()(()))())(()()(())()(())())()())((()()(())(()))(()()())(())()(()()())())(()()()()((())()()))((())()(()()())((())(()))())((())()())) (((()()(())()((())))(()(()()())(()()))(()()(()()()()())(())(()()(())()(())(()())(()))((())())(()))(())(())()()((()())())((()())(())()()(()())()(()(())())))(()(()()(()))(()()())((())((()))()(()())(()))()((())(())(()))(()()((())()(())()(()))(())()(((()))())())(()()(()))(()))((()(()(()))()()()(()()))()(())(()()())(()())(())())((()())()(())()(()(()()))(()())(())((())()(()())))((((())(()))(())(()(()))()((())()))((())()()())(()(()())()()())(()(()())((())(())()()())(())()()()(()()((())())()()(())((()))()))(()(())()(()))((())((())(())(())()(()))()(())(())()(())(()))((()()(()))((()))((())()(())()(()))()()((())()()()()()())(((()))())(())(()()()()(())))((()())(()())())(()()(())))((()()(())()())((()))(()()()())()()())((()()(())(()())())((())(())()()())((()()()())(((()))(()()(()))(()())()())(()(())(())(())()(()()()))((())()(()))((()())()(())(())(()))(())(()())((())()))((()(()()))(())((())(()())()((())()())())(()()())(()()(()))((())()()()(())(()()(())())(()))(())(()()))((())(())(()))(((())())()(()()())(())()(()())(()()))((())((())())(())(())(()(()))(()())()(()()()(()())))((())()())((()())()()()(())()))((()())(())()(()()())(())(())()(()(()()()())(()())())())(()((()))(()()()())(())()()((())())()))
(((())(()())()(()())((())))(()()(()())()(()))(()(()(()()))(()))((()())(()())()(()))(((())(()(()))(()())(()(()))((())())(()())())(()())(())(()(())(()))(()()((()())()())(())()(())((()())))(())(())(()(()()())()()(())(()()())())(()()()))((())()()()())((())()(())(()(())(()()))()(()())(()()))((())(()())(())(()())()())(()(())(())((()()())(()())())(()(()())()(()()())()(()()()))()(()()())(()(())(())())())) (((()())((())(()))(())(()(())()())(())()(()(()))())((())(())(()(())(())())(())()(()(())()()(()()))((())))(((()()()()((())()))(())(())(())(()()))((())(())(())(()))((()())((()))()(()))(()())(()(())())((()()(())())(())())(((())())(()()(()))()(()())()((())(())((())())((())()())())(())()())((())(())()((())()()(())(()))()(())(()()((()))()())((())()(())((()))(()))(()))(()()))((()()())(()()()()())()()(())((())())(()()()))(((()(())()()())(())(())(()()()()())()(())(()()()))((())(()(())()(())(())(())(()()))(()(())())()(()()()(()())((()))())()((())((())())()))(()(()()()())(()())()())((())((()()())()()(()(()))(())((())(())()())(()))(()())(()(())(())())(((())()()())(()()()())()(()))(())(()(()())(()(())))(())(()()))((()())()(())()(()))(((()))(())()()())((()(()()))()()()(()()()))(()((()()())())()(()())(()()))((())()))((()())((())(())()(()(())()())()()(()()()))()(())(()()(())()())(()(())(()))(((())()()())()()(())())(()())((())(()()())()(()()())))(((())(()()())()())()()((()))()()()()((())(()())()()))(()((()())()(())(())(()))(()())()(()()(()())(()()()))(())()()())(((())(()()())(()())(())(()())(())()())(()()())(())((())(()())(()())(())(()()))(())((()()))(()()(())(())())(()())((()()())()()(()())()())))
((()(()()()(()())(()()(()()))(()()())())((()))()()((()()))(()()(())(()(()())(()))))((()())(()()()()())(()()()())(()()(())(())())(())(())(()()))(((())(())(())())(()(())()()(()))(()())(()())((()())()()(()(())())(())(()()))(())((()())(()())((()))(())()(())(()))(())(()()()()))(()()()())(()(())((()))()(()))((())()()()(())())(()()(()())(())(()(())))(()(()())()(()()))((())(())((())(()()))(())(()())()())) ((()((())((())())())(()())(()())(()()()())(()(()())())(())())(((()())()(()))(()(())())(()()())(())(()())()()(()()(())))((())(())()(())(()(())()(())()())((()())())()())((()(()(())()())()((()()())(()))(()))()((()))(()())((()))(()()(()())()(()))((()())(())()(())())(()))((()())((())(())()()(())())((()))()()()()(((()))()))((()())(((()()))(()())(()(()()())(())(()())(()(())(()))(()()()())(()))((()())()(()()())())(()(())()()())(()()())((())()()()())(())(()))((()()())(())()())(()()()((()))((()))((())()))(()(()()())()(()))(((()())()()(())())(()(())(())())(()()(()))(()()(())())()(())()())(()()()(()))((()())()())((()(()))(()())()(()(()(()))())(())(()())(()())))(((()(()())())(()(()))((())(())))(()(()()()())())(()(()()()(()()())(()))(()())(()(())()(()()()))(()())(())(()()()(())())()(()()()))((()())(()())()(()))((()())()(()())(()()))(()()(()())(()))((()())())(()()()(()()())()())((())((())())(()()()(())())(()(())(())(()))((())()()(())())(())((())()(()()()()()())()(()())(()()))(())(()())))((()()())()(())(())(()(())()())(()())((()()())()()(())()()))((()(())())(())((())()(())((())()(()())()())(())(()))((((())())()((())()))(()()())(())(())()(())())(()())(())((()())()()(()()))((())())(()()(())(()()))))
(((())()(()())()())((()(()()))(()()())(()()(()())()(()()))(())(((())())()((())()())(())()())()(())((())(())(()()()(()))((()))(()())()())((())()()))((())(())()(()(()))(()(())(()))(()())(()))((())()()(())(()))((()()())(()()(())()(()))()()()(((()))()())(()(())))(()(())()(()())((())(())(()())(())((())()())(()())()(()))(()())(()(())((())()))((()())()))((())(())()(()())())(()(())(())()())((())()()()())) ((((()()(())()())(())()())(()())(()()(())())((())())(())((()))((()())()(()())(()(())())(())())(()(())(())())(((()()())()(())()(()))()(()())(())()((())())()))(((())()()())(()()()(()()())()((())())(()))(()(()()(()))(()))((()(()(()))()()(()()))()((()()))(())(()())(((())(()))()(())(()())(()())(())(()()()))()())(((())(()())()()(()))(()()(())())((()))(()())((()()()()())()()(()()()())()(()))(()(())())(()()(()))(()(())(())()))(()(())(())())(()(())()()(()))((()()(())())()(())(()(()()()()))(())()(()())(()()())(()()(())))(()()()()((())())()(()())))(()()()(()(())(()()()()()))()(()(()))()(()()()()))((()(())())(())(()((()()))(()))(())(())())(((())(())()()())(()(()()())()()((()))(()()(()())())(()()()())())(()((())()())(())()())(()())()((())()(()())(()))(()(()))((())))((())()()(())(()()(()))(()((()))())(()()(()()))(()))((((()))(())()(()())())(()()()((()())))(()(()(()()()())(())(())()()(()))((()))(()()())(())(()(()))()(()()()(())()(()()()())()(())())((())()()))((())()())((())()()())(()(())()()()(()())((())(())(())()()))(()(())()())((()()(()))()(())(()(())())(()()())())((())()()(())))((()())()(())()(()(())((())))(())(((()))()(()())())(()()))(()(())(()())(())(()(()())()()())(()())()(()(())(()()))()))
(((()(()))(())()()(())())(((())()((())(())())()())((()())((()))()())(()())(())(()())(()())((())((())()()()()())(()())()(())())((()))(()))(((()))(())()()(()))(()()((()(())())()(())((())()())()()())(()()())((())()()(()()(()))()(()()())()(()(())()))(())(()(()())())())((())()()()(()()))((()()())()()()((()))()()())(()()((())()))(()()(())(()))((())(()(()))(()())()((()()))(()(())(())(())(()()))()(()()))) (((((())()))(()()()()((()))((())()()))(()((())))(()(()())()())(()()()((())())(()()()(()))((())))(((())()(()))((()))(())(()(()()()())(())())(())(()))(((()())(())())((()()))(()())(()())(()()())(()(()))(()(()))(()(())(()())()()(()))(()((()())())()((())((())())(()))(()()())(()(()))))((()())(((()))()(())((())))((())()()(()))((()()()())()()(()))(()(())()(())())((())(()))()(())())(()()(()(()))))((()()(())()()())(()()()()())(()())()(()(()(())()())(()()())())(()()()(())()(())(()(())(()()()()))((())()()()()))(())(((()))(()())(())()())((())()))(()(()()()(()()())()())(())(())(()()())(())(()())(()())(()))((()())(()(()))((()()())()(())()((()())(())()()())(()(()))(()())(()))(((())())()()(()()())()(()()))(()()(()())()())(()()())((()(())(())())()(())(()())()(())(()))(((()()())()(())(())((())()())())(())((())(()()())()()(())())(())(())((())(())())(()()(())())(())(()))(()()()()((()()))))((())()()(()())(())(()())()(()()()(()()))())(()(()(()())())(())(()())(()())((()()())(())((()())())(())(()))(()()))((()()()(()())())(())()()(()(((())))()()(()))((()(()())))())(((())()()(()))()(())(())(()())((())())(()()()(())())((())()()()))((())(())(())((())(()(()()))()((()))()(()))(())(()()()()())((()())())((()))()))
(((())()(())(()(()))(()()()(())((())()()())()())((())(()()(()())())(())()()()())(()()(())())(()()(()))((()())))((()())(()(())(()))()(()()())()()(()))((()()()())((()))((())(()())(())())(()())()((()(())()())(())()(()))()(()(()())(()())(())(()()(()())))((())()()))(()())(()(()(()()))()()()(()))(()()(()())((())()))((()))((()()(()))(()())(()()()()()()((())))(()(())())()((())))((()()())()()(())(()())())) (((()()())((()())()())((()())((())())(()()(()(())())(()(()))(())(()()()()))(()())(()()()(()))(()(())())(()()(()())(()()()())((())()))(()()))(()()())(()()())((()()())(())((())(())()())(()()()())()((())()))(()()()(()()())())(()()()()(())())((()()()(())(()))(()()(()(())))((()))()(()(()())()()(()))()()))((())()(())(())(()(()))((()())()())(()))(((()()()())(()()())()()(()))(()()())(()()())(()()(()()()))(())(()()(()())(())()(()()()(()()()))(()))(()())()(()))((()(())())((())()()(()())(()()))((()(())()()(()()))((()))()()(())(()())(())())(()()()())(()(()(())()()())()(()()())(())(()(())()(()()()())())(()()()))(()()()()())((())()()(())(())(()()))(()()())(()()()()))((()())()()(())(())((()()()())(())()()(()()()))())((()()()(())((())(())))(()()((())(()()))(()()())(())()(()(())()()))(((()))(()()())(())(()())(()())(()()()()(()(())()(()()))())((()())(()(()()())())()(()()()))(()()()()(()())(())))(((()()))((()())()()())()(()()()()()(()(())())()(()()))()((())))(((())())()()()(()))((()())(()())(()))(()(())()())(()(())(()())()(()))(()(()()(()()))((()))(())(()())(()())))((()())(())()(()()(()))()()(())(()()(())))((()())(()()())(()())(())()(())()())(()()((())())(()()(()()))()((())(()()))(())(()(())()(()))))
((()(())()())((()())((())()(())()()()()())()(()(()()())()())()(())((()))((()())(())(())()((()))()(()()())()))(()()()(())())((())(())(())()()())(()(())(()(()))())(()(()()())(()()(()()))(()()())(()(()))()(()(())()(()(()))(())()))(()()()())(()(()()())(())()(())(()()))((()(()))(()()()(()()))(()()()()()((()())()()((())()))((())()(()))(()()()))(())(()(()())(())(())((()()())()))((()())()()(())())(())())) ((((()(()))(()()(()())()()()(()()()()))(()())(())((()())(()()()())(())()(())())((())(()())()())()(()()()))(()(()())()()())(((())()())(())()(()))(()()(()())(()(()()()())())()())((())()())((())()(()())()(())()())((())()(()(())()()())()(()()(()()))((())()))(()(())(()(()())()(())(()()(()))(()))((()())())(()()())(()())((()())()()()())((())(()()()())()(()())()()()))((())(())(()())((())()())(())))((())(()()()())((())()())(()())()(()())())((()(())(()()()()))(())(()()()()(()))(())(()()(())(()())((())())()())((())()(())(())(()))(())((())()))(((())())(()())(()()())(()(())()(()))((()())(()(()))()((()))(()()()(())))(()((()))((())(())(()()))(())(()())(()()))(()()()(()(())())(()()(())))(()()()())(()()()))(((()())()()(())())((())())((())(())())(()(())()()())(()()(()())())((()())()(()()()(()))()()((()())))(((())()()(()))((()))((())())((())()(()))()()(()()((())()(()))(())(()))())((()()(())()())((()())(()())(())(()()))(())(())(()()())(())(()(())(())()())((())()()()())(()()()))(()()))(((())()())()(()(())())()()(())((())()(())))((())(()())(())(())(()()(()))(((()()))(())(())())())(((()))(()()()(()))()()(()()(())()(()))(()())(())()(()()))(()(()(()))()(()(())())(())((()))(()()()())(())((()()())((()())))))
((()(()())((()())()())(()()((())(())())()(()))(()()())(()())(()()())()(()(()())(())((()))))((()(()))()(()()())(()()(()())())(())((()())(()()))())((())(())(())(()))((()())(()())())(()(()())(()(()()(()))(()()()(()))()(()(()))())((())())(()(()()()())(())((())()()())(())(()(())))((()()(()))()()())(()())()(()))(()(())((())()))(()()(()())()())((())(()()()())(()())()()(())()(()))(()((()))(())(())(())())) (((()()()())((()())()(()()())(())())(()())(()()(()())()()()())(()()())(()()()))(()(()(()(()))())(()()())(()()()(())())(()(()))()())((())(()(()())()()(()))((()())(())()()(())(()))()()((())()((())()(()()))()()()()(()))()((())()())())((())(()())()(())(()()(()))((())()(()(()())))())((()(()(())()())((()())(())()()(()))(())(())(()()())()(())((())()(()())()((()())(()()))))((()()())()()()(()))((())()(()()()()())(())(()()())(())()(()()))((()(())())()((()()())((()())()()(()()))((()()))()()(()))(()())((())())()()(()((()))(()())(())(()))((()())()))(()(())()(()())())((())())(()(())(())())(()()(()())()(())())((())()()()()))((()())((())())((()())(())())(()((())())(()))(())((())(()(())()(()(()))()(())(()))()(()(())())())(()(()))(()()(())()(()(())())(()(())()())())(()()(())(())))((((()))(()()()()()(()()()))(()()())(())(()())((()()))(()(())()(()())())((())(())(()()(()))())((())))(()()()((()())())()(())()()(()))((())(())(())(()()(()())()())(()())((()())()()()((())))(()()())(()))(()(()()(()(())))()()(())((()))()(()()()))(())(()()())(()())((())(())()())(()(()())(())()))((()()((()())()))(())(()()())(())(()()())(()()())(()())()(()()))(()(()(())())(()(())(())(())()())((())()())(())((())())(()())(()()())))
(((()()())((()()())(())((()())()()))(()()())(()()()())((())())((()()(()))()()((()())())((())()))(())((()))(()()))((()()()()()(()()()()()))(())(()()(()))((())(())())((())())((())()((()))(()))(()()())())((()()()(()))(()())((())(())()())(()(())()()())(()())()(()))(()()()(()())(())())(((())()(()())(())())()(()())(((())())()())(())(())()())(()((())())())((())(())(())(())(()))((()())()(())())(()()()())) ((((())(())(())())(()()(()()))((()()()())(()())((())()(())())(()((()))(()())(())()(((()))()())())((()())(())(()()))(()())()((())(()))())((()(())()()(())())(()(()))(())((())())()((())()(())())((())()))((())(())()())((())()(())(()())(()))(()()(())(()()))(()((())())()())((()((())(())()()))((()())((()())()())(()(()))(())())(()()()())(()(()))(()()()()()())()()()))((()(()()()))(()(()())()(()())()(()()))(())()()(())()(()(()))())((()()())()()(()(()))()(())((())()())(())(()))((()(()())()(()())())(()())(()(())()(()))(()())((())(())()(())()()())(((())())(((())))(()()()()(())()((())(())))()()()(()))((())((()())()()())(())(())()()((())))(()(())()())())(()(()(())(()())(())(()()))(())(())(()())(())()((())()()))((())(()(()(()))()()()(()))()(()())(())()(()())(()()(()())(()())))((())(()())(()())(()(()))((()())(()())()()(()))(()()()())((()())()()()(())())((())((())()(()()())())(())(()())())(()(()())))(((())((())(()))(())()(())()(())(()()))(()()(())())((())()())(()((()()())(())(()))(()()()()(()()))()((()))(()()(()))())((()()())(()()())(())((()())()()()(()()()())((()))(()))()(()()(())()())()(()()()()))((())()()(()())(()()()))(()()())((())(())()())((())()()()))((()()()()(())())()(()()(())())(())(())()))
(((())((()()))((())())(())((()()())(())(()())()())(()())(()())((())(())((())()()()(()))(())(()()()))(()(())()))((()()())()())((())()()())(((()()(()))()(()())()(())()()())((()()()())()(())()()())(())()(())(())((()())()(())(()(()))(()))(())((())(()())()(()()())))((()()(())())()(())()()(()()()))((()()()())((())())(()())(()())()(()()()()(())(()))()(()))(()(())()(()())()(()))(()()()()(()()))(()()(()))) (((()()())((()()())(()())())(((())()()(()())(()(())()())())(())(()()())(())()(())(())(())(()()()(())))((())()((()))(()))(()(()(()())(()())(())())(()())(()(()))(()())(()()(())()())((())(()()))(()))(()()(())())(()()()(()))(((())()())()()()()(()(())()()))(((())()(()))()()))(()((()())()(()())())()()(())(()()()()())(()(())(())()()))((()())((()())(())(()()()())(())()())(())(()())(()(()())())(()(())((())))()(())(()(()()(()()))(())(())(())(())(())))((()()())((())()(()(())))()()()(()(()())()))((()((())))()(())(()())(()(())(())()())(())()(())(()(()())))(((()())()(()())(())(()))((()()())(()())(()()(())((())()())(())(())())(()()(()))(())(()(())(())()(()())())()(()()(())))(()()(())(())(()))(((())())(())(()(()))(()()()())())(()()(((())())()())(()())()(())(()()(()(())())()()()))(((())()((())()))((())()()()())(((()))(())((())()()())(())(()(()))(())())()(())(()(())()(()()())(()()()())()(()(())()))(()())())((())()((())()))(()()(()()())())(()()((())())()(()(()))()))((()()())((())())((()()(()))()()(()()())((())()()))(((()))())((()(())())()(()())(())(()()())()(())())()(()(()))()((())()()()()))(((()(()()))()(())(())())(())(((())())()())()(()()())((())()()())(()))((())(()(()())())()()((())()(())())()()))
(((()(()()())(()())()(())()())()(()()())(())((())((()))(())()())()((())()(()())(())((())()())((())())(()()))((())())((())()(())))((()())()(())(()())()()(()))(((())()()())(())()(())(()())()())(()(()())()()((()())()))((()())(()())((())())(()()())(()(()))((()())(())()()(())((())()(())())())(())((())(()())(()))())(()()()(()()))(()()()()())((())(()())(())())(((())()()())()(())(())((()))(())(())(()()))) ((((())()()(())(()))(()())(())(())((())(())(()))(()))(((())())(()(()()()()))(())((()()())(()())())(())(()())())((()(())())(()()(())())((())()(())()())((())()(()())())(((()())()(()()))(()()()(()))((()(())()()(()()()))((()())()()())()(()())()(())())()()(()())(()()())(()()()((())())(())(())(())))(()()(()())(()())()())(((()())()())((())()()((()())())()())(((())))()(()())(()()(()()())()()(()()))(()())(()))((())(())()(())(())(()()()())(()()()))((()())(()()())(())((())())(())))(()(())()(())((())()())(()()(()))(()()())(()()()))((()((())()(())(())())(()())(()(()))(())(()()(()())(())(()()())(()))(()(())(()))(()))(()(((())())(()())()())(())()()()(())((())()))((())()(())()(()())(()())())((())(()())())((())(()()()(())())(()()()())(())((())()()((()(()))()))()()()())((())()()())(())(()())(()(())()()))((()()()())((())(()()())(()(())())(()((()))()())(())())(()(()))((()()(())(())(()()))(())()(()())(())()())(()((()))(())()())(()())(()()(()))((()()()()())()(()()))(()()))((())(()(()()())(()))(())(()()()(()())()())(()())()(()))((()(())(()()())()())()(())(()(()))(())(()(()))(()()))((())((())(())()(()))()((())()(()()()())(())())(()(()(())(()))()(()())(()())())((()())()()(())(())())((())())(()())(()()())))
(((()((()))()()()(()())())(((()())())()(()())((()))(())(()()()()(())))(()(()())()()()()())(()()()())()()(()()()())(()()))(()((())(()))())((()(()())())(()(())(())())(()(())()())(()())()(()()())(()))((())(()(()(()()))((())())()())((()))((()())(())(()()())()(())())((())(()())()()())()(()())(())((())()()))(()()(()))(()(())(()()()))((())()())((())()()(()())()((())()()))((())()(()())()(()()()(()()))())) (((())(())(())()(())(())(()(())((())()))((())(())()()()))((())()((()))(())((()()())()()(()()())())()(()))((())()()((()()())()(())())(())()((())(((())))()))(((())()(()())()(())())(()(())())(())(())(()())(()(())()()())(()()))((()()()())((())()()(())())(()())(()()()())(()(())())((())()((()))((()(()))()())()(()()(())()))(()()()(()()()))((()())(()(()())()())()()((()))()(())((())())(()(())(())(())))(()(())))((())((())(()))(()())(()(()()())()())(()()())(())()())((((())(()(()))(()()())(()()()))(()()()(()()))(()(()((())())()))(()())((()())())((())()(()))(()()()())())((())()()()((()()(()))()()()(()))(())()(())((())()))(()()(())(()())(()(())))((()()(()))(())()(()())()())((())()(()()())()())((()())(()()())(()(())(()))(())(()())(())())(()()(()()))((()()())(())((())(())(())(())())(()()((())(())())(()))(()(()()(()))()(()(()())())(()))()(()()()()())()(()()))(()()()(())(())))(()((())()()(()(())())((()))(()())((())))()((()))((()()())(())(()())((())()))(()())(()(())())((()())(()()())()(()))(()))((()()()()()(())())(()()(())(()))(()()())(()(())(()))((()())(())(()))((())()((()()())(())(())((())))(()()(()()(()))))(()()())((())()(()()())(((())()()()())()()()(())())(()())()())(()((())())((())()(()))()())))
(((())((()))()())(()()((()))()()()())(()(()())())(((())()(()()()(()))()((())())()(()()()))()(()()())(())(())((()))((()())()())(()(())(())(()()()()))((())()()()()()()))(()(()(()))(()()())(()(())(())(())(())))(()(())()((()))())(()((()))(())()(())(()(())()())((()()())()()))(()(())((()()))(()())(()()()(())())((())(())(())()(()(()())(()))(()))(()()())(()()()(()()))(()()(()()()())()(())()))((())()(()))) (((())(()()(()())()()(()))()()(())(()()(())())(()(()()))(()))(((())((())()()))((()(())())(()))(((())()()()())()((())(())(())(())()())(())((())(())())(())((())(()())(())(())(())))((()()(()))(())()(())())(((()))(())(()))((()(())(())(()))()((())()(()())())()(()())(()()(())(()())(())())()((())((())())(()()(())())(())(())()))((()()())(())(())(()(()))()((())()()()(()))())(()(())())(()(()()()())()()(())(())()))((()())(((()))(())())((())(()()())())(())(()()(()()))(())((()()())(()()(())(()())())(())()(()())()())(()(())()(())()())(()((())())(())(())(()())()((()())()()()()()(()(())))(()(()))(())))(((()))(()())((()))((()(())())()())(()())((()()()(()))((())()())(()())()((())())(())(()()))(()()()(())()()())(()()))((()())(()()())((())())()(()()()))((()()())((()()())()((()())())()(())(())())((())(()((())))()(())(()()())(()(()()())()(()())(())())(())(()())(((()))()()()((())())))(((())))((())(()(()())()())()(()())((()))(())(()(())()(()()())(()()())())(()))((())(()())()())(()(())())(()()()()(()))((())((()))()(())()()(())))(()()(())(()())(())(()())(()()())()(()(())(())))((()(()())()()())()(())((()))(()())()(()()()((())())()(()))((())))(()(())(()())(()())((())(())()()(()))()(())((()())((()))(())()())))
((()()(()(()))())(()()()(((())()())(()))(()(()))()(()()(()))())(()()()(())())((()()()()())()(())()((())(())(()))(()()(()()()())))(((())())(()((())))(()()()(()())()(()(()))())(()((()())))(())()(()())(()(())))(()()((()))(()))(((())()()()(())())((()())(())(()())()())(())(()(()())((()())()()()()())(())((())()))(())(())((()())()(()()(()))(()()(()))()(()))((())(()))(()))(()()()()())((()(())())()(())())) ((((()())((())()()(()(()))())()(()(())(())(()))(())())(()()())(()()())(()(()))(()()(())())((()()())()((())()())((())())()(()))(()()(())()((())))(()()(())()())((())()))(((()())(()())(())(()((()())()())(())()()(())(()()))(()(()))(()())((())(())(())()(())()(()()()(())))())((())(())()(()()())(())()(())(()(()())))((()())((())(())(())()(()())()(()))(()(()))(())(())(())()(()()))(()(()())())((())(()())((())()()()))((())((())(())())()())((())()()()((()()())))(()(())(())())(((())())(())(()())(()(()()(()))((()))(())(()())())()((())()()()())()((())(())()(()())()()())(())))(()()(()(())())((())()(()))(()()((())))(()))((()()()())((()()()())()()((())())()(()())(()()))(()()()())(()(())())((())()()(())())(((())()(())())(()()((()))(()())()()())((())()(())(()())(())())(()())((()))(()())((()()))()((())()()))(()(())()(())())(()()(()))(((())()()())(()()())(()()(())()(()))((())()()((())))()((()))))(()(()()())(())(()()()(())(()))(()())(()()())(()))((((())(())())(()())())(())((()()))()(()())((())()(()())(()))((())()()())()(()))((((()))()()()()())(()()()())(()())()()()((()()))())((())(())((()())()())(()()())((()()())()()(()(())()))(())(()()()())((())()))((()())(()((()))()(()()()))()((())((())))(()())(()())))
((())((((())())(()()(())())(()((()))())(()()())()(())(())(()))()()(()()()())(()()(()()())((())))(()())(()()()(()())(())(()))(()))(()(()())()()())(((())()())((())(()))(()()())()((())()()))((()())()()()(()(())()())())(()(()(()))()()()()(())())(()(()(())()()())()(()(())())((())()(()()))(()))((())()()()())((()())(()(())(()())(()(())()()())())((()())(()))(())(((())())()(()))(()()()(())()())(()(()())))) (((()()(()))(())(()())(()())(())((()()(()))()()(()()())(())())())(((()())(())()()()()())(()((())(()()))(()(()()))()())()(()())(())(())((())(())(()()))(())())((()())((())(()())(())()((()())(())())()((())(()())())()(((())(()))()(()())((())(())(()))()(())))(()(()(())())()()())(((()())())(())()(()()()((())()()()))(()())(())(())((()())(()))(()))((())(()()()())())((()())(())(()())()()()(()))(()()())(()(())()()(()()))((()(()))(()())()()()(()(()))(()(())(()))))(((()()(()))())((()()())(())(()()(())(()())()(())())()(()()())()(())(()()))(()(())((()())(()))())((())()(())(()()(()))(())(()))(()()(()()))(())(())((())(()))((())()()))((()()(())())((())(()())())(()(()())(()(()))(()())()()(()()())())(()(()())()(())())((()())()()((())()()())()()(()())())(((()())()(())()()((())()(())(()())())())(()()())(())((()(())()()())()(()())(()())(()))(()())(((()))()(()()()())()(()()))(())((())(())()))(()(())())((()()(())(()())(()())()())((())()()())()()()()(())((()(())()))((()())()()()))(()()()(())((()))()()))((()(()))(((())())()()(())())()()()(())(()())(()()(())))((())(()(())()(()()))(())(())()(()()())(()(()())()()))(()((())(()()))(()()(())(())((()))())(()()())()())(()(()()())(()()()(())())(())()()(()()(())())))
(((()((()))(())()())()(()(())()(())())(()())()(())(()()()()((())()())()))(((()))()(())()())((()())()())((())((()()()())(()())(()()()(())(()))()(())()((())()())(()))((()()())()()()()(()))(()())(()())(())(()()(()()))(()(()))(()))((()())(()())(())())(()(())(()())()(()(())()(())))(()(()(()())()()())((())(())())(()()(()())((())(())())())(())(()())((())((())())()()())()(()))(()(())())(()(()())()()()())) (((()()())(())(((())())()(())()()((())(())))(()(()())(()()))()(())((()()())()()())(())((())()(())()()(()(())()()())(())))((()(())()()()(()()())(()()()))((()()()(())())()(()))((())(()()(()()()()(()))((()))())(())((()())()()())(())(())(()())((())(())()()())((())()))(()())(()()(()()()))((())()(()())()()(()))((())()()(())())((())(((()))(())()()()())(()()())(()()())()(()())((())()()(()())))((()())()()()(()()(()))))((((())((())())(())()())((()())()(())()())((()))(()()())((())()(()())(()()())(())(()())())(()()(()))(()()())(()()()())(()(())()()))(()(())(()()())(()(())(())()())()(())((())(())()()()()()))(()()(()))(()(())(())())((()(()()))()(())())(()()()(()))((()()(()))()((())())(())())((()()(()))()(()(()())((())())()()())(()(())())((())()())(()()()(())(()))()(()()(())))((())(())(())()(())(())))(()()(()()())(()(()()()))(()(())()()())(()()())(()))((()())(()()(())((())()())(()())(()(()()())())(()))(()())(()())(()()()()(()()()())(())())(()(()()()))(()()(()(())))(((()())())()()()()))(((()())()(()())(())(()()))(()(()())(())())()()(()()())())((())((()())()(()))()()()()(())((())()()(())))(()(())(()())(()(()()())(()())(()))()((())())(()()()()))((()()(())())()(()(()))()(())(())((()())()()()())(())))
((()(()())()()(()()()))(()()((())(()())))(()()((())()())(()()))((()()((())))()(()(()))(()()())(()()())(()(()))((()())()(())()()())(()(())))(()(())((())()))(()(()())((())()())()(()()())()(()))((()()()()(())())(())()(())((())())()(()())((())()()())(()(())()()(())()()))(((()())())(()()(())()(())()())(())(()(()))()(()()(()())(()(())())(()()))((()()())(()()())(())()(())()))((()()())(())(())(()())()())) (((()()((())())()(()))(((())))(()())((()()())((()))()()((())(())(())(())))((())(())()(()()))((((())())()())(())(())()(()(()))(())(()(())(())))(()())(()())(()))((()()(())())(())()(())()(())((())()((())())())())(((()()))(())()()(()()()(()()))()()((()())()))(((()()()())()()())((())())((())(()())())(()(())(()())(()))(()(()(()))()()())(()()(())()(()()))((())(()(())(())())(()())(()()())(())(()())(()())(()))(((()())()())((()())()()(()())(()()))(())()((()))(()(())())(()()((()))(()(()()))()()())(()))((()())(()()())((()))()(())))((()(()))(()())()()(()(())(())())()(()()())())(((()))((())(())()(()(())))()(()()()())(((())()())()((())(())()())()(()))(()()())()((())(())(()())()))((()()()((())()))(())(())((())()())((())(())())()())(((())(())()(())(())()(())(())())(()(())()()(()))((())(())(()()())((())(()())())(()(()(()()))(()()(()())()(()()))(()()())())(()()()(()()())(())()(()()))(((())()())()(())()(())(()()))(())(()()(())))((()()())(())()()()())(((()))()()()())((())((())()(()))()((()()))(()())((())()())(()))((()()())(())()((()())()((()))()(())()())(())(()()(()())(())((()())())())(()((())))(())(()))(()(())())(()(()())()(())()()))(((())()(())())()(()()()()())()(())(()())((()(()))()(())()(()())())))
((()(())()()()())(()()(())(()()()))(((())()()(()))()(()((())()())()())()(())(())(()()()(()()))((())(()(()))()(())()()(())()))((()(())()(()()(())())(()()))(())(()()()(()())())(())())(()()()(()()()()))((()())(()())(()(())((()())()()))((()()())()(()())(()))(()()()(()))(()())(()()()())(()((()())())()(()())(())(()()))(()))((()()())(())(()))((()())(()())(()()(()))()((()))(())(()()))((())()((())())()())) ((()(())(())(())(())()(()()(()())()(()())(())))(((())(()(())(()))((())()(()))()((())())(()(()())()())(())(()))(()()()(())()(()()))((())(()))((()()(()))()()(()())((())()()(()()))()((()))(()))((()()())()((()()())())(())(()(())()))(()())((())((())))((())))(()(())(()())(()()()(()())())(()()(())()))((()()()())(())(()()())(())(()(())())(())()((())))(((())()()())(()(()())()()())(()(())(())())((()()(()))(()(()())())(()(())()(())())(()())(((())())())((())())(())()((()())(())(())))(()(()))((()())()(())()(()()(())())()()(()))(()((()())(()()))(())(())()(()()()()())(())((())()(())(()())))((())()(()()))(((())()()())((())(()))()))((()()(()))(()())(())()((())()()(()()))()(()()()))((())(()(())(())()()())()()(((()))()()())(()(())())(()(())())()((()())()(()())((()))()))(((()())(())(()()()(()))(()()()))((())()(())(()()(()())))(()()(()())(()())(())())((())()((()()()())(()()())()(())(()())())(())(())(()(())()(()())(()()))()(()(())()())(()()))((())(())((())())()((()())()()())()(())(()()()())(()()()))(()()()(())()())(()()()()())(()()())((())(())(()()(()())()(()())(()(()())()))(()()())(()(())()(())(()))(())(()()(()))((()()()())()((()))(())(())()())))((()(()()(()))())(()())(())((())()()())(())(()()())(())))
(((())(())()((())(()()))(()(()))(()()))((()())((())())(())())((()()()())()(()))((()())(()())()(())())((()()(()()()())(()())((())()())(()))((()))(()(((()))())(())(())(())())(()(()))((()())(())()()())()(()()))(()()(()))(()()()((()))(()()))((())()()()(()()(()())((())()(())(())())()(()))(()(()))(()()(()()())()(()(()()))()())(())(()(())()))((())()((())(()))(())(())(()(()()(()))()())((()()())()(()))())) ((()(()())()(())(()()())((())()(())((()))())(())(()()))((())(())()(())(()((()()))(()(()))())(()()()())()(()()))(((()())(())()(())())((()())()(())()(())()((()))())((()()()())((()())()((())()(())())()(()())(()))()((()())())(()(())())(())(())())(()()(()())())((())()()(()))(((())())(()())(())(())(())())((()())()(()())(((()))(()())())())((()())(())(()()(()))((()())()()()(()))(())(()())((()())(()())(())(()())(())(()(())())(()))()((()())((())(()()())()())()(()(()))(())))((()())()((()))()()))(((())(())(()()()(()())(()))(())()(()(()())()(()()))(()()()(()))(())())(()()((()())()())(())())()(()((())())())(())(())(()()())(()()()()()(()))((())(())((())())(()(()))((()()())())(()())))((()()()()(()()))(()(())()())()()(()())((()(()))())(()(()()()())()()()()(()(())()))(())(()()))(()((())()()()(()(())()())(()()))(()())(()()())(()))((())()(())(())(()()())((())(())())(()()()())((()())()()))(((())()((())))((())()()()())((())()(())())((())()()(()))((()(())(())())()()()(()(()()))())((()())((()(()))()())(()()())(()()()((())())(()()())())((())(())(()(())())(())()())()(())(()()())(()(())))((()))((()()())(()())(())((())()(())(()()())())(((())()())()()()((())))(())())((())))((()())(()()())()(()())(())()(())()))
((()()((())())())(()()(())(()((()))))((()()(()())(()())())(())(())(()()()())(()(()())(()(()))(())()(()))(((()))()(()()(()))(()(())(()))(()(())()())(())())(()(())(()))(()()))(()(()()())(()())(()((()())()())(())(())(()))()(()()((())())()(()()))((()())())()())(()((())()())()((())())(()())())((()())()()()(())()())(()(())(()))(()()()(()()())()())((()()())()(()()())(()())(()())((()())(())()(()())()()))) (((())(())(())(())((()()())(())()(()))(()(())(())(())()()(()))(()(())))((()()(())()())(()(()()())((())()()())()((())(()))())((()())(()()(()()))((()()()())(()()())())(())(()())((()())()()()(()))(()())(()()))((())(()()(()))(()(()))()(()((()))(()()())(()()))(()(())()())(()()))(()((())))(()(())(()())())((())()())(()((())()()()()())(())()(())(()()()))((())()()()))(()(()(()(())))(()(())()(()()())(()()))((())())((()))((())(())()()()(())(()))(()()())(())((()(()))(()())(())((())(())())()()))((()()(())())()()(())(()()()(())())((())()(()(()))(()))())((()(()())()(()())((())()(())))(()()()())(((()()())()()()(()))((())(()())()(()))()(()()())()((())(()()())()()(())())(()())((()())))(()(()()())()())(()()())((()))((()()()()(()()))()()(()())(())(())(((())()())()()()()(()))((()())(()(())())(()())(()()())((()))()))(()(()()())(())()(()()()((())))()(()()))(()(()())))(((())(()())()(())())()((())()()(()))((()()))()()(())())((()(()(()))()()()())()(()()(())(())(()()))((()))(())(()())())((()())((())()(())()()(()))(())((()))(()())((())()()()())(()()())(()())())(()(()()((()))((())())(()())(()())()(())((())()()))(()()(())(())(()())())((())()()())((()())((())())()()()(())()())((())()()(()))(())(()(()))(()()())))
((()(()()(())(()()())((())()))()(()(()))()((())()()()())((())(()()()())(()(()()))(()(()))(())(())))(()(()(()(())()))()()(())(()()()()())()(()(())()(()())))((()())()()(((()))(()()))()(()())(()(()())()))((()())()())((()(((()))()()())(())(())((())(()())()(()))((())))((())(())(()))((()))((())((()())())(()))(())(())(((())()())()(())()()(()()))(())((())()))(()()())((())((())())())((())())(()(()()())())) ((()(()(())(()(()))()())(()()())()()(()()))((()()())(()()(()))(())(())(()())()(()(())()())())(((())(())()(()()))(((()(()))((()))(()))((()))(()(())(())()(()())())(()()()()()(()()()()())((())()()))()(())(()))((())(()()())((())(())()(()))(()()()(()()())(()()))(())(()(()))()(()()))(()(())())(()()())((()())()()()(()))(()(()())(()(())())(())(()()))(()(())()()())((())(()())()(()()())(())))((()(())()())(()(())()(())(()(())()(()))()(()()(())()())(()()()))((()(()))(()(()())(()()())()())(((())()())(()())()(())(()()))()()(()())(())(()()))((()()))((())()())(()(()(()))(()()())(()()()())(())()())((()(()))(())()(()))(()()()(()))((())(()(()))(()(()())()()(()()())())((())())(())(()((()))()(()))((()()())(()())()((())()())(()))()((())()())))(((())()(()())((()))((()())()(()(())))(())(()()))(()()(()()()()()))((()(()))())(()()((())()())()((()))(())(()))()(()()(())())(()())((())(())()(()()()())((())))(()()()()()(()())))((())()(()(()()()(()())(()))(()()(())(())()(()()))())(())(()()(())()())(()())((()())())()((()())()(()())(())(())()(())))(()()(()())((())())()(()()()())(()()()()()))((()()()(()))()(())(()(()())())(()()(()(())())((())()())(())))((())(()())(()()()((())))(()()()()()())()(()()()())()((())(()))))
(((()(()))()(()())()()())(()()((())))(()()(())(()()(()()))((()()())(()())((())))()(()()()())(()))(()(())(())(())(()())()())((()())(())()()(())())((((()))(()()())()(()(()))((())(())()()))(()(())(()()())()(()))(()())(()()(()))(()())(())(()(())(()())()(()))((()())()(())))(((()())()())(()(()))(()()())(()()()())()((())(()))(()())(()())((())()(())))(()()()(()(()()))(()())(()()()())())(()(())()()()(()))) (((())((())(()()()))((())())(())()()(()()(())()()())(()))((())(()())(()((()))(()()()))(()()())(()()))(((())()()(())())(()()(())()(()))()((())(())(()(()))()(())(()))(()())(()()()())()(()()())((())()()))(((())(()()))((()()())()(()()))(()()()(())()(()())())((()())(())(())(()()(())()())(()())()(()))(()()()())(()()()())((())(()()())(()))((()())((()()(())())(())(())()(()())(()())())(())((()))((())())(())((())(())()())((()(()))))((()()()()(()))()()(()(()())(())()())(()(())())((()))(())))((()())(((()))()()((())())())((()))(()(()(()())(()))(())(()()()))(()()()(((())))()((())((())()))(()()))(()())(()()(()))(()())(((())(()(())())(())())()(()(()))((())()())))(((())())()(())(())(()()()()())(()(())()()()))(((()))((())()(())())(()()())()(())(()())(()()))(((()())()())(())(()()()())()()(())(())(())(()))((()()()()(())()(()()))((())()(()(()())))((()(()))()()())((()())(())()()()((())((()))))((())((()))((()())(()())(())(())(())())(()()()(()())(()))(()()())()(()())()((())(()())(()()()())()()))(()()()(()()(()()()())())(())(())()(()())())((()())(()())(())()()())(()(())(()(())(())(()()()())(())(())())()(()())((())()()(()(())()())(()()()(()))(()())(()))((())(()(()))())(()(())())(()))((()())()()(()())()())))
((()()(())()()(()())())((()(())()(())())(()()()())(()()(())()())(()())(()()())((()()()()())(()()(())(()(())())())()(())()(()(()))()(()()())())(()(()))(())(()()()))((()(()))()(())()(()))((())(()(())(())(()()(()))()())()((())((())))(())()()((())()(())(())((())())()))(()(()())(()())()(()()(()(())))()(())())((())()()(())())(()(()())()((()))())(()()((())()()())((())(())()())()()((())))(()()(()()()()))) ((((()(())((()))(()())(((()))))(()()())(()(())())(()(()()(()))(()()()())()(()))()(())()(()))(((())())()()()())(()(())(()))(()()(((())))())(()(())()())(()(())(())()(())(()())(()(())())(()(()))())(()()(()())(()()(()())())(())((())()(())()()())(()((()))()()))((())())(()()))(()()(())(()()())((())()()()())(()(())()(()))(()())(()))(()()()((()()())()()()(()())(()))(())()((())()(()))(())(()()(())()(())(())))(((()())(()()())(()()())()()()(()()))((())()()()())()((()())(()(())())(()())())(()(()())(()())((())(())()()))()((())(()))((()(())()()())((()(()))())(()())()()(()())(()()())())(()(())))((()())((())(()())())(()())(())(()(()()())()())(()()(()())((()())()(()))()())((()())(())())()())((()(())(())(())(()()()))(()()(())(()())()((())()(())))((())(())()(()()())()(()()))((())())(()()()(()())(())(()))((())(())((()(()))(()()()(()))()(()))(()())()((())())(()(()())(())())(()((())))(()))((())(())((()())(()))()()()((())()))((()(()))((()())(()())()(()(())())(())())(())((()()())()()(()()()())()()()(()()))(()(()()))()(())(()()()))(()()(()()())()(()())()()))(()()(()())(())(())(()()(()())()())(()()()))((()()()())()()(()())(()()())(()()(()))(()()))(()()((()()())((())())()())(()()())((())(()()())()(()))()()))
((()(())()())((())(()())()()((())))((()())()()(()(()())()())((()))(()(())(()))(())(())())(((()())()()(())()())(()())(()())((()))((()()((()))()())(())(()()())(())(())((())()()))(()()())()((()()))(()()))((()())((())()()())(()())(((()())()())(())()(())(()))(())(()()())((()()())()((()))()(())()((()())))((()()))(()()))(()()()(()())(()))(()()(())()((()())()))((())(()(())())()(()(()))(()))(()(())()()())) (((()(()))(()(())())(())((()))(()(())(())()(()()())())(((())())(()())(()(()())(()))(())(())())(()(()())())(())((()())()(())(()()(()()()))(())((()))(()())(())))((()()()()(()()))((())(())()(())(()()(()))(())(()()))((())()(())(())())((())()(())(())(())(()))((()(()())((())))(()())((()())(())())(()())()(()())(()()))(()()()()((()))())(()(()()(()(())())(()()()(()()()))()(()()()()))(()(())()())(()()(()))(()()())(()())((())(())((())())()(()(()))())((()())))((()())(()()(())(()()())(()))(()(()())(()())((()))(())())()()(()(())()())(())(())(()))(()(()()())()(()())()()))((()()(()()))()(((()))()())((()))())(()(()(())(()))()((())(())()()()())(()()((())))(()))((((()))())(()())((()())()(())()(())()((()))())(()(())((()())()))(()())(()(())())((()()))(((())()(()())())(()())(())()()(())))(((())()())(()()(()))(()())()()()((()())()()()()(()())))(((())()(())(())(()())(())()())((()(()))(())(())()(()()(()())(())()(()()()())(()))(()()()())(((())())())())((())()()(()))(()(()()())()())(()()()()(())())(()()())(()((())())())((())((()())((())()())()())()(())()()(())((()()())()()))(((()))(())(()(())())(())()()()(()()()()(())())))(()()()(()()()()())(())((()()))())((()()((())()))(())(()(()())()(()))()()(())((())())))
((((())())()()(()()())())((())()()(())()()())((()()())((())()(()))((())())(()()()())(())(()()(())()((()())(()))(())(()())(()))(())(()(())(()))())(()((())((()())()()(()))(()())()()())(())(()()(()())())((()))(())(()()()(()()()))(()()()(())))((()())(()()()())(()))((())()()())(((())()()(())())(()()(())())(())((())()())()(()(()))()()())(()(())()(()(())()))(()()((()())()())(()()(()()))(())(()()(()())))) (((()(()()))(())(())(())()()((()())((()))()()((()())()()(())())()()((())()))((()(()())()())(()(())()()())()()(())()(()())(()))((())(()(()))((()))(())()))((((())())(())()()(()()))((()()()())(())(())(()())()(())((())(())(())))(()()(())()()(()))(()()(())(()(()())())(()()()))((())(())()(())())(()()()()()(()))(()(()()(())()())(()(()())((()))()(())(()()()))((())()(())())()(())()((())()()(())))(()()())(((())(())()()(()((()))())()())(((()())()(()))()(()())(()())()(())())(()()(()))(()())(()())(())(()()((()()))()(()())(()((()))())())(()()())))((())(())()((())()())(()(())())(()())((()()(()))(())()()(())))(((())((())(())()()(())(()))(())((())(()())()((())()))()(()())(()()()))(()()()(()())(()))(()()()())(()(())()()())((())(()()())(((()))()()(()()()()))(())(()()()(()))()(())(()(()))(()()(())()(()())))(())(()(())()(()))((())()(())(())(())((())))((())(())()(())()(())(())))((()(())()(()))(()(())(())()(()(())())()(()()()()))((())())(()())(()())(())(()()(())()(()))(()((())()())(()(())())(()()())(())))(()()()(())(()())((())(()())()())(()(()()())()(())))((()()())()(())(())(()())(()()())((()))(()()))((())(())((()(()))(()())()(()))(())(())(()(()))(())())((()()())()(())(((()))()()(())())(()())(()(())())))
((()(()()())(()))((()())((()())(())(()()(()))()(())())(((())))((())())(())(())((())()(()(()())()()))((()()(())(()()))(())(())()()()(()()()(()))())((()())(())()()(())))((()()(())()())(()()()()(())())(())()(()()())()(()())(()((())(()))(()()()())()(())())())(()()()(()()))((())())((()(())()((()))())(())(()()(())())(()()()())(()())(()())()(()))(()()())((())(()()()())(())()()((()))())((()())()()()(()))) ((((((())))()()(()(())())())(()()()())((())(()))(())()((())(())()())((())())(()())())((()(())())()(()()())()(()(())()()()(())(()()))((())()))(((())(())()()())(())(()()()()())(()()(())()(()())()())((()())()()(()(()))(()()())(()(())(())()((())))()(()(()(())()())(())(()(()))(())))(()()(()()())()(())(()()()())(()())())((()())())(()())(()((())()(())(()()())())()(()(())()()(())()(()()))(()())((())(()()())())(())(())))(()()((())((())()())(()))(())(())(()()(()())(())(()()))())((())(())((())(())())((())())((())((())()())(()())((()))()())(()(()()())()(()()))(())((())()))((()())(((())())((())()()()())(()(()))()(()()())(()()()())(()()(())((())))(()))(()(()))(())(()()(())(()))((())(()())(((()))())()())((()()))(((())())()()()(()))(()()))((()(()(())()(())())(())()(()(())())(()()()()())())(()())((()()(()()()()())(()()(())())()()()(()()))()()((())()())(())(()())((()())())(()()(())()(()())()))((()()(())))((()()()(()))()()()(()()))(()(()))(()(())(()())()())((()())()(()((()))((()))((()()())(())()))(()(()())(())()()(()))()(()())((())())(()(())()(()())()(()))(()(())()))((())()(())))(()(()()()(())()())(())(()())(()()()()())()(()(())()(())))((())((()))(()(())(())())(())(()()(()(()())())())(()())()(())()))
(((()()()())(()())(()()()(()(())))(()()(())()(()(()))())(())(())())(()(())()(())()(())(()()))((())(()())(()())(((()))(())()())((())()(())()())((()()())(()))(()()())((())()()())(()()))(()()(()))(()(()())()()())((())())((())()(())())(()(()())(()())(()()()())(()()))((())(()()())()(()())(()(()())()(())((()())))((()))(()(())()()(()(()))()((())))(((())())(()()(()())(())())(()(())())(())()())((())()()))) ((()((())())((()())()())(())(()())(()))((())(())(()(())(()()))(())()(()()()())(())(()()()(()())())())((()(()()())()(()(())()))(())()(()()(()()))((())()))((()()())(()()()())((()))(()()()()())()(())()((())(()()()())(()())()()(()(())(())))(()(())(()(())())(())(()())(()())((()))))(((()(())()()())(())((())())(()(())()()())(()()())(())())((()()())()(()()))((()(())())(())()()())(()()()(())())(()(()(()())()(())(()))(())(()())(()())()(()(())()()(()(())))(()(()())()((())()())(())))((()())()((())()())()(())()()(()))(()()()(())()(((()))()))((())()(()()())(())())((()()())(()()(()())(())()((()())()()()(()))((())()()))(()())(()(())((()))(())(()()())((()))(())(()()))()((())())(()(()())()())((())(()))()))((()()()())((()())(()()(())(())()())(()()()()())(()())((())()(()))()(())(()())(()))(()())(()())(()(()))((()())()()()()())(()()()()(()(()))())(()((())())()()(()()((()))(())()())((()))(()))((())()(()()(()))()()()(()()())))((()(()))((()))(())((())(()()())()())(()(())(())()()))(()((()())(()())()())()(()())(()())(((()))()(()))(()(())()()))((()()()())(()())((()))((())(())(()())()((()())()())((()(()))(())()()))(()()()())(()()((())())(()())(()())((()))())((()(())()(()())(())(()))(())()(()())()(()))(())()))
(((())()()(())())(()()()())(()(()())(())()())(()(())()(()())()((())()()())(()))(()()()())((())((())(()(())))(()())(((()()))(((())())(())())()((()))(()()))(((()()))()(())(())(()(()))())(())(()((())))((())()()(()))(()))(((())()()()())()()(())()(()(()))()((()(()))()))(()(()()()())(()()(())()(()))(()()())(()())((()())(())()()())(((())(())(())())()(()()(()))()(())()())(()()))(()(()()()())()(()(())()))) (((((())))(((())())((()())()(())(())(()())(()()()))()()((()())()()())(()(())())((()())(())()))(()(()))(()(()())()(())((()())(()(()))()())(()(()()())()(()))((())()()(())))((())()(()()()())()((()))((())(())()))(((()(()))(())())(()()(())(())()())((()))(()()()())(()(()()()()())()(())(()))(()()()())((())(())()()(()(())(()))(()()())()(())))(()(())()())((()())(()())(())()(())(()))((())()(())(())))((()(())(()())())()(()()(()()))(())()(()))((())(()(())(())())(()())()()(()()()())())((()()((())())(())(()))((()()())()((())()()()((())()())(()))()(()()())(()))(()()()())((()(()))()()(()()()())(()()())(()))()(())(())())(()()()()(()(((())))(()())()())(())(()(())(()))(())())((())(()()())(()()(()))(()())()(())((())(()))(()()()())((()())()(()())()))(()(()(())()(())())(()()((()))())()()(()())()(()(())(()()()(()))()(())()))((()())(()()())(()(())(())(()())((())()())(())(()()()()))()((()())()()())((()()())(()(()))(())(()())())(()())()(()()(())(())()()))(((()())(()()(()()))()(()()(())()(()))(())(()(())()())())(()()())(((())(()))(()())(()()(()())())(())(()()(()()))(()()(()())())(())(())())(()()()())(((()))(()())(())()()(()))(()(())(()))((())((())(()))()())(((()()))())((())(()(()()))()(((()))()())()(())())))
((((())(())()(())(())())(()(())()()())(()())(())(())()(()())((())()))(()((())()()()(()()(()())))()((()()())()(())(()())((())()()(())()))(()())(()()())()(()))(()()()(())(())())((()((())())()(()()())((())))((())()())(()())(()())(()())()(()()()(())())((()())()()(()()())((())())(()))(()))((()()())()()())((()())()()(()()())(()))(()(()()())()((())(())()(()))(())()(()()))((())()(()()))(()(()()())()()())) (((())(()()())(()())(()()()(()())()())((()())()()))((())((()))((()))((())()()(()))(())()(()())(()(())()()()))((())(())()((())()(())()())(())()((())()(()())(())(()()())(())())(()(())))(((())()()(()())(()()()((()())))(((()))())())(()())((())())((())(()())((()())(())()((())))(())(())(())())((()(())())()(()(()())())(()()))((())(()()(())()()())(()()())((())()()(()))()(())(()((()))(())(()()()())()(()))()(()))(()()(()()))((())()()(()))(()()()))((()()(()()())(())(()))(()())(())((())())(()()())()(())((())(()())())((())()))(((()()()(()))(()()()())()(()()))(()(())()())(()(()))(()()())(()(()())()(()))(()(())()(()())())()(()())(()()()((())()()(())()(()))()(())))((()()()())(())((())())(())(()()()(()()()()))()(()()))(((()())(()(()()(()))(())()(())(()()()))(()()())()(()())(()())(()()()(()))())(()()(())()(()))(()()((())())()()(()())())(()(())()(()(())))(()()()((())(())()()())(()))((()(()))()((())())((()())(()()((()))())()(())()(()())(()))(()()()()(()()()(()))()())(()())((()()))(()()())((())()(())()(()())))((())(())())((())(())()())(((())()())()(()())()((())(()))(()(())(()))()(()()()(())()())))(((()())()(()())(())((())())(()))(()(()))((()())()())(((())()())()(()))()(()()())((())()()(()())()()(()))))
(((())(()(())(()())()()(()(())(())))(())(()()((())))((()())(()())()(()(()))(()))((()())(()))(()()(())())(()()()())(()()()))((()())(()())())(()(()(()))()()(())())(()(())()((()())()(()))((())((())()())(()())(()()))(()())(()(()()())(()(())())()(())))((()())()()()())(()(()()()()(()))(())(()(()())((())())()())()((())()))(()(())()()(()))((()())()()(())(())(()))(()(()())(()())()()()(((()))()()())(()()))) (((()(())())(()()()())((())()((())())(())()())(((())()()())(())((())())(()(()()())()((()))())((()))(((())()())())(()()(()))(()))(()()(())(()()())(()))((())())(()()((()))())(()())((()())((()()())())(())(()()()(()))(())()))((()(()())())((())(()((())))(())(()())())(()()()(())()(()))((())()(()())((())(()()))()())((())()())(())(())(()()))(((())((())(()()))()()(()()())(()()()())()())((())(()(())())())((())()())((())()((())))(()(())()()((())()(()))(())())((()(())(())())((()())())(()()())(()(())()()()(())())(()(()()())()(()())((()())())(()()))((())(())()((())())(()((()))()))(()(()))((()()())))((())(())(())((())()(()(()())())(())()((())))((())((()()))())(()())(())())((()())(()())(()))(()()(()())))((()()())()()()(()(())()()())((()))())(()()(((())))(()()(()()(())))(())(()(())()((())()())(())(()))(()()()))(()()(()()()())(()()()()()()(()))(())(()()))(()()((()))(()(())(())(()()())()(()))(())(())())((()(())(()(()))()()())((()())()(())(()())()(())())((())(())(()(())()())()(()))(()()())(()(())())((()())(()(()())()(())(()()()))(())((()()())()()())(()))((()())())((())((())))((())()(()(())()(()))(()()())(()()()(()()(())()))(())(())(())((())()())))(((())(()))(()()())(())()(()()()(()())()(()()))()(())))
((((())()())(()())()())((())(()())(())()())((())(()()((())))(()(()())()()())(()())((())((()()())(()))(()()()())(()()))(()(()))(()())(()))(()(()))((()()()()())(()()()())(()()())(()(())(()()(())()())(()())())((()()()(()()))()()(()())()((())))(()()()())(()())((()))(()()))((())()(()()()()())()())(()()(())()(())())((()()())(((()())())()())(())(())(()())()(()()()()(()())))((())(()(())()(()))()(()())())) ((((())(())((()))((())())(())((())()())((()()())()()()(()(())))(()()(())(())))(((())()()())()()()(()()())())((()()(())())(())((())()(()))(())()(())())(()(()()()(()))(())()(())(()(())))((())()(()))((())()(())()(()))(((())()()((())()())()(()(())))(())(((()))()()())(()())(()())()((()(()()))()((())()())()(()))(()()(())())((())(())))(()()(())())((()())()()()))((()()((())))((()(()))()(())()(()()))()(()()()())(()())())((())(())((()))(()()(())()((())(()()))(())()((()())()))(()(()(())))(()())()())((()(())((())()()())(()(())(()(()))()())((()())(())(()(())()())()(()))(())()((()(()))(())))(()((()))(()()()))((())()(()))((())(())(())((()())()())(()()()()())(())()(()(())())())((())()())(()(()())()())((()(()())())()()()())(()(())(()))(()(()()(())())((())())(())(()())()(())))(()()(()()(()))(()()()(())()(()()))(()()())(()(()())())(()()(()()())()(())()())(()(()()())(()))(()()(()())()(())))((())((())()(())(()))(())(())()(())())(((())(()()(()()()))(())()()(()()))(()())((()()(())()()(()))(()())()(())()((())()()())(())(()()()))(()()())((())(())())(()())(()()(()))((())()(()()))((())()(()())()(())()))((()()())(())(()(())((()))())(())()(()()()()()()))(()(((())()()())()()()(()()))()((()())()())()(())(())()))
(((()()())(()())()((()))(()())(()()()((())(())())(()())(()()(())))((())()()()()(()()))()())((())()(())()(()(()))(())((())(()())()()(())))(()((())(()))()(())()(())((())(())())())(()(())((()))(()()(())))(()()((()))()())(()(())()((()))(()))(()(())(())(()())()())(()(()()()())((())()(()()))((())(())()((()))()(()()()()))(())(()(()))(())(()()()())((()()())()(()())(()(()))((()()))()()))(()(()()())()()())) ((((()()())(())())(()()())(()((()))(())(()()()())()())((())()()()())(()(()()())()(())(())(()(())()(())())(())(()(())))((()())()())(()(()()(()()))(())(()()()())(()()()()())())(()()())())((()()()(()))()(()())(())()()(()()()(()))()(()(())(())))((())((()))(())(())(()()()()())((())()())(()())())((())()(()())()(()()(()))((())(()()(()))())(()()(()()())()((())()(()())())())(()(()())()((())()())()()())(()(())))(()()(())()(()())(()()()()))(((())(()()))(()()(())(())(()()()(()))(()()()(()())()(()()))(()))(()()(()()())((()())()())(()()())(()))(()(()))(()(()((())()()(())))((()()(()))(())()(())(()))((()())()()(())())(())()()(()(())()))((()(()))()(()()((())))(()(()(())())(())()()((())(())))(()())()((()()())()()()()(()(()())))(()()(()()()()))())(()()()()()(()))(()(()())()()(()()()))((()()())(())(())))((()(()()())()(()))((())(()))(()(())(()))(((()()))()(()()))(()(())(())((())()()(()())())()())(()()((())())()(()))((()(()())(((()))))(())(()(())(())(()()))(()())(())(()())(())(()()()()((()())()(()))((())(())()())())(()()))(()()((())()(())(((()))()()()))()((()))(()()()()()())()(()(())))((()()())(()())()(())((()))))(()(()())(()()())()(())(()(())()(()()))()(()))((()())(()(())(()))()(()())(()()())()(()())))
(((()())(()())()(())()())(((()))((())(()()())()()(()(())()()))((())())(()()()(()))(()()()()())()(()(())())(()()()(())()(()()))(()))((())(())()()())((()())()()()(()))(()(()()())(())(())(()))(()()()())(()((())()()()(()()()()))(()())((())(()))()((())()()()())()())((()())((()()())())((())()(()(()))()()())((())()(()())(()()))(())(())(()())((()()(())()())(())(()()())(())(()(()))(()())())())(()()()(()))) (((())(())(())()(()(())((()())()))((())(())()()))(()()(()(()))(()(())())(()()())(())(()(())(())()())()(()))((()()()())(((()())())()(()(()))()()())(())((()()(())())(())()(()()))(())()(()()())(()()()((())()))(()))(((()()()(()()))()(())())(()())(())()((())()()())(())(()))(((())()())(())(())(())(())((()())(())(()()))(()()()()(())()))((())(()(())(()))(()(()()()(())(())())(()()()())()(())((()))(())(())())((()())()((())())(())(()))((()())())(()(())()(()))((()()())(()()(()))(())()(()())(()()()))(()()()()())())((()()()((()))())(()(())(()())(())())(()((())(())()(()())()())((())()())(()()()())((()())())(()()()())(()())())((())()()(()())()((())()))(((()()()())()())(()()())(()()())(()())(()()())(()())((())((())())()(())()())()((())()(()((())))))(()())((()())()())(()(())((())()()()(()()))()())(()(())))((())(()(()()))()(())(())(()(())(()(()))()())((())()())(()))(((())(()(())())(()(())())(()()()(()())(()()()))()()(())(())(((()()()())()()(()))()(()())()(())(()(()())())))(()(()(()())())()(())((()())()(()()())()(()))()((()())()()((())()()))(()()()))((())()(())(()(())())(()(())(())))(()(()()()(()()))(()())(()())(()()))((())(()())(()()())())(()()()()(())()(()()))((()())()()()())(()()()())(()()()()())))
((()()()(()())(()()(())(())())((()())(()(()))))((())((()))()(()))(()()()())((()())(())()()(()(()))()())((()())(()())(()()()()())(()())((())(())(())()()(())(()()()()))((())(())(()()))(((()))(())(()())(()()())()(()))(()))((())(())()(())())((())((())()()()())(())()()(())()())((())(()(()))(())())((()()())((()()())()())(()()()(()()(()))((())()()))(())()(())(()(()()())()()(())(()))((()())())((())()()))) (((())(()()()())(())(()())(()()()()()(()()))(()()()()(())(())())()())((()()())()()(()(())()(()()()))((())())(()()(())))(((()(())()())(())()()()()(()()))(((())()())()(())()(()())())(()())(()()(())(()())())(()(()())()()((()())(()))((()())(())((()))(())(()()()()())()())()(()(())()))(()()(())())((()(())()())(()()())()(()()()())(()(())(()))()(()())(()()()()))((())()()(())))(()((()(())())()())(())(()())(()(())())()())(((()())(())(())((()))(()()(()))()(()()())(()(()())()))((()))((()))((()())()()())()((())()(()(()()))()(()()()))(()()(()()))((()(())()())(())()(())())(()(())()))((())(()())((())())(())((()))(()(()()))()(())(()))((()()()()(()))(()(())(()))((())((())())(()()()))()()(()))(((()()(())(())(()(()())(()())())()(()()()()))(()()()())(()()())(((())())(())(()()()())()()())()(()()()(()))()(()()(())()()))((()())()(()()()()()())(()))((()())(()()()()())(()()())((())(())())(())())((())(()())(()((())))()()(()())((())())(((()))()(())(())))(()())(()(())(())()()()())(()(())(())()())(()(()())((()())(())((()))())((())()(())(()()()()())())(())(()()()()(()()))(()()(())))((())()(())(())))(((())(())())()(()()())(()())((()()(())(()))(())()(()(()))(())())(()()(())()())()(((())(())())()()(()))(()()(()))))
((()(()())()()()(()))(()()(()()())()())((()()())(()())()(()(()))(()()())(()()(())())((())()(()()())()()((()(())())))((())(())()()(()())()((())()()(())())))(()()()(()())()(()))(()(()())(()())()()(()())())(()((()))()(()(())())(()))(()()()())((()()())(())(()())(())(((()))()())()(()(())))((())((()))(()()()(()))((()())(()()()())()((())))(())((())(())()())((()(()()))(())(())(())()((()))())(())((())()))) (((()(()()))((()))(())(())()(((())()())()()(())(()()))(()))((()()())((()())())(()(()()()()(()))(()(()))(()(()))()()())((())(()((()))()(()))(((())()())()(()()(())()())()())()(((()))(())(()()))(()())()(()())(()))(()())((((()))()()())()(()()())()()()(()))((()())(()(())()()(()(())))(()()())(())()((()()(()))(())()()))((())()())(()(()())(())(()(())()(()()(())())(()()())(()))()(()())(()((())())(())())((()))((())()()(()()())(()(())))))(((())()()(())(()()()))((())(())(()()()())()(((()))()(()()()))((())())(())()(()()()))(()()()())(()(()())()()())((()(())())(())()())(()()()()()(())())(()((())()))(()()(())()()(()(()))(()()))(()(())))(()()()(()())()(()())((()(()))()()())(()()()()))((()(()()())(())()()()(()))(()(()())()())(())(()()(()()()()))(((())(()())(()))(()()()(())()())(())()()(())(()()((()))(())()(())))((()(())())()(())()(()())())(()()()(())()(()))((())(()())())(()((()())(())(())()()())(()(()))(()(()))()(((()))()(())(()))(()()())((())()(())())))((()(()())(()))((()()())(()(()())())()())(())(()())())((()())(())()(()()()(()(()))()(()))()((())(()(()))()())(())())((())()()()((())(()))(())()(()()(())))((()((())())(()))((())())((()())(()())()()()(()()))()(()())(()())(())((()())((())())(()())())))
(((())((())())()()())(()(()())()())((())()()((())())())(((()())(()))()()((())())(()))(()(()())(()(()))((()))()((())())(())(()()(())()()))(()(())(()()())(()))((())(())(())((()))(()()()())()((())))((()((())())(())(())(()))(()()()()())()(()(())()(()))()(()()())(()()())(())(()))(((())()())(())((()())())((())())((())()(()()())((()))(())(()(()())()()))(((())()())((())()())()()(()())())(())(()())(()()))) (((())(())()()()(()()(())())(()()(())))((())()()((()))(()(())(()(())())(()))(()())((()())())(()))(()()(())()(()(()()())(()()(())())(()))(())((()()())((()))(()))()(()()))((()())(()(()())(()()()()())(()))((()()(())(())()(()))(()(())())(())(()(())(())(()())())()((())(())()(())())(())(()()))(((())()(()()())((())())())(())()((())((())()()())()()()()()(()()))(((())(()))()(()()))(()()(())(()()()))())(()()()(()()()()()())())(((())(()))()()()()()(()()()()()))((())()()())((()(()))()(())()(()()())(()()()(()()))()(()(())(()()()))((())))(()(()())()()))((()())()(())(())()(())((())()())(()())(()))(((()()()()())(()())()(()(()())(())())(()())()((()))())(()(())())(()())((())()()(()())(()()()))(()()())((()()())(()()()())()((())()())(()())(()))(()()(()))(()((())())(())))((()()()(())())(()())()((())(())(())())(())(()(()))(()()))(((())(()())()()()())(())(()(())((()()(()))()()())()()()()(())((()())(()()(())(()))))((()(()))(()()())(()())(())(())(()()()())((()(())()())()()()(())(()())())(()()())(()))((())(())(()())()())(()(()()(()))()(()()())())(()()())(((()))()(()))(()()(())()()))(((())(())()())(()()()(()))((())(()))(())(()())(((()))(())(()()()())()(()()()))(()(())()())()((())(()())()(())(()()())()(()))))
((()(()(())(())((()()))(()()))((())(()()())()(())(()))((()())()())((()()())()(()()(())())()((()())(()))()(())(()))(()(()))(())(()()()()))((()()()(()()()))()((()))(())()(()))(()()()()()(()))((()))((())(()(())(())()((())))(())(()()(()())()(()())()()(()(()())())(()()()))()(()(())())(()))(()(()()())()(())()())(()(()())(()())())((()())(())(()())()())(((()(()())())()())(()()())(())()(())()(()(())()()))) ((((())(())(())(()())(()()()()))(())(()()())(())(()(())()(()()()())(()()()())(()()))(())((()())())(()()(()())))((()())()(()()(())())()(()()()()())()()()(()()))(((()())()(()()))(()(())())((()()())((())()()())(()()()()()()())(())()())(()()(())((())))((())()(()()))(((()())((())())()())(())((()()())()()()())(())()(()))(()(()()))((())(()(()))()(()(())))((()())(())(()()(())()())(())(()())(()()(()())(()))(()()(())()()(()())((()))())(()(())()())(())))((())()(()(()(()))()())()((())())(()(()(()))(())())(()()())(()))(((()()(())())(())(()()())(()())(()(()())()())(((())()()()())()()((())())())(()())(()()))(()()()(()(()())())(())()()(()()()))((()())()(())()())(()(())(()())(())(()()))((()())()(()))(()()()()()())((()(()))()(()()()())())(()()(())(()())(()))(()(()()(()())()(()()()())(())())(()()())(())((()())(())(())(())()(()))(()())(())(()(())(())(()()))))(()(()()(())())()(())()((()()()())()))(()(()()())(()()())()()(())(()(())()()(())(())))((()())(()())(()(())()())((())(()(())()())(())()(((()())())()()()((()))(()))())(()()(())(()())())((()())(()()(()))()((())(())())((()))()(()))(()()()())((()(()))()(()())(())(())()(()))(((()))()))((()()((())()())(()())(()))(())()((())(()())(())(()()()))(()())(())))
((()()()()(()()))(()((())())(()()()()(()()()))(())()()(()(())()())(()))(((())()()())(())(()())(())(()()())((()())(())()((())))((()())())(())(()()))((())(()()())()(())()(())())(((())()(())()(())()())(())(())((())(())())(())()(()))((()())(()()()())(()())()(()()(())(())())(((()()))(())(()())(())(()()()()((()))))(()(()(()))(())())(()()))(()()()(()())(())())((())(()()())()(()))(()(((()))())()(()(())))) ((()()(()(())())(()()())((()())())()())(()(()())()(()())(()()()(()))((())(())()()))(()(()()())(()())((()()()())(()())(()()))(()(()())(())()())(()()())(())())((()(())()()(()()))(((())(()()(()))(())(()()(()))()())(()(()()())(())())(())()()(())((()())()())())(()()())(()()()()(()()()))(()()(()())(())())(((()())(()(()()()))(())()())(())(()())()()(())()(())((())(()()())()()))(()()())(()()(())(())())((())()(())()()))((()()(()))((())(()())()()()()(())(()))((()(())(()(()())())(()())())((()))(()()(()))()()(()())((()()())()(()))((())(())())(()()(()())(()()()())(())()))((())(()())(()(())(()))(()()))((()()(()))(()()())(()())()(()())()(()(())))((())()((())(()))()(()()()))((()(()())()()())(())((())()())((())()())((())()()()(()()())(()()())(()()))()()())(()()((())())(())()(())(()()()))((())()()))((()())(()()()()())(()()()(()))(()(())()((())())((()))())(()(())(()()()())())(()()(()))(()(())(())()(()))(()(()())())((())(())))((()()(()())(())())()(())(())(()()()())(())(()()())(()))(()()(())((()))((()())(()())(()()))((())()()((()))())(())())((()()()(()()))(()(()(()())())(()()()()())(())(())())((())(()())()()(()()()())(())(())(()()()()))(()())(()(())(()())((())()))((())())(()()()())((())(()))((())()())))
(((())((())(()()())()()())(()()())()()()()((()())()))(()()(()()(())(()))(()))((()(())()()(()))(())(()()(())())((())()(()())()())(()())(()()()((()))())(())((())))(()(()()())(()()(()()))(()(()())(())()())(()(()))(()(())()(()))((()))(()(())(()(()))(()())()(())(()))((()(()())())(())(()())(())))(()()((()))()(()))(()()()()(())((())(()))())((()())(()())()(())(()()))(()(()(())))((())()(()(())())(()())())) (((()(()()(()())()())((()))(()()(())())()(())((())(()()())()()(()(()())(()))())())(())(()(()()()())())(()(())()()())((())(())(()(()()()))(()(()))(()())())((())()((()))()(()(())())(()))(()((()))(()))(((())(()()())())(()())(()(())()(()))(()))((()()())()(())))(((())())(())(()()(()))()()(()())(()())(())(()))((()()()())()(()()())()(()()()()(()()))()()(()))((()()())(()(())(()))(()(())(())(()))((())()()(()(())())()((()()())())())(()(()(()()))())(()())(())((()(()))()()()()(()()(())(())()()())(()(())()()))((())))((())()((())(()))((())(()()())())(())(()()(()(())())))((()()())()(()(()())())(())((()()()))(()(())(())(())())((())(())(())()()())(()(())()()()(()(())()())()((())()(())()))())(((())()(())(()()())(())(()()())(()))((())()(()()()()())())((()()())()()(()())(())()())(()()()())(()()())((()())()()((()(()))(()()))((())()(())(()()())())(()(())(()())()()(()(())()))(())((())()()()()(()()())((())()()())((()))))((()(()()))(()())()(()()()())()(()()())(()()()(()()())(())()()(()())())()((())()(())()(()()())))((())(()(())()()()(()())())()(()())(())(()()())()())(()()((()))()()))((()())((())())((()))(())(())(()(()()(())())(()))(()(())()()(())))((()())(()(()())(()))(()()())(()())()()(()()(()())()(()))))
((()())((()(())()())(()()(()()()))(())((()))()()(()()()(()()))(()(())()(()())()(()))((()(())())(()())(())((())()()()())(())))(()())(()(()())(()()())(()))((()()())()(())()()(())()(()()(())))(()()(())(()())(()))(((()()(()))(()))((())(()()(()))(())(()(()())())()(())(()))(())()((())())(()((()())())()()())((())())(()()))(((())()(())())(()(()))()(()((())())()(()))(()()()())()(()())())((()()())()(())())) (((()())()(()()())(()(()())()((())()()()()()())())(()()())(()(())()()()((())(()())())(()()()()))(()())((())()(()))(()()()))((())()((())()())(()()(()))((()())(()()))()(())())(((())(())(())()())((())(()())()(())(()()))()(())()(()()(())(()())))((()(())(())()())((()())())(()(())())((()())()()(())(())(()(()(()))(())((()())))(((())())()()())(()(())))(((())()(()))()(())(())(()())()((())(()()())(()()))(()())(()))((()())(()))((())()(()()(())(())()())((())())())(()(())(()())(()())(()(())()))((())()))((())(()())((()()(()))()()()((()())()()())(())(())()((()(())())()()))(())(()()(()))(()(()())()()())((()())()()())(()((())())(())()())(()(()()())((()))))((())()((()))()(()())()(()())()((())(())(()())()()))((((()))((())())(())((())()()()))((()())()()(()())(()())(()(()()(()()))(())(()()(())())())(()(()))((())()(()())()(())(()())())(()()()(())))(()(()()))((())()(())((()())())(()))((())()()(()))(()()(()))((()())()(()()())(()()())(())(()((()))()(()()(()))(())()()())(()()())(()(()())()())(()))((())()()(())()(()())())((())((())(())(())((())()))(())(())()((()))()(())(()()(()()()(()))())))((()()()()(()(())())(())(()))()()()()((()())()(()))()()(()()))(()(()())(()())()((()))()()(()(())()(()())(()()))(()())))
(((()()())(()()())()(())())((())(())(()()(()))(())()())(((())()()())(((()))(()())()()(()()(()))())(())((())())(())(())((()))(())((())()()(()())))(()()((())()())()()((())()()(()))(()))(()(())(())()(()(()))()(()))(()()())((())()()(()))((((()))(())()())()(()()())()((()()()())((()))(())(()()())(())(()()))(()()(()))((()())())((())(()()()(())())(()()))())(((())()()(())())()()(())((()(()))()())()((())))) (((()((())())(()())(())(()(()()()())(())()()))((()()())(()()()))(())((())()()()())((()())(())((()()()())()(())(()))()(((()))()())(()())(())(()()(())))(()()(())(())())(()()(()(()())(()()())(()()))(()()())(()()(())(()()))((())()()(()()()(())())()(()(())())())((()))((()())(()))(()()))(()()())(()()()))(()((()()))(())()(()(())())(()(()()())()()(())(()))(()(())(())()))(((()())())()()()(()()()()())(())(())(()()(())))(()(())(())()(()()(()))(())(()()))((()()()())()((()()())()()())(())()(()(())()()))((()()(()())())(())(()(()))((()())(()((()))()(()))(()(())()())())(())((()())()()(()))(())(()))((()()()(()()()))(()()()())(()()(())(())())(())(((()()())())(())(()(())(())())()(())((())())())(()()()())(()()(()())()()()((())())()(()(())()()))(()()()(()))((())(()())()(()())((()))))(()(())()()(()(()))(()(())()(()())))((()()()(()(()()))(())(()))((()()()()(())())(()())()()()(())(())((())))((())()()()())(((())(()())()(()))(()())(()()(()))(()((())())((()(()))()()()())(()(()())()())(())(()))(()())()(((()))(())()()()()())()(()(())))((())()(())(()())((())(()())(()()())(()(()))(()))((())(()())()((())())(()())())(()()))((())()()()())(()()()()(()))((()())()()()(())(()()(()()))((())()))(()(()(()))(()()())()())))
((()()((())(())()(())(()()))(()(()()))((())()()()(()())((())()())())((()))(()(())())(()()))((()())()(())(())()())(()()()())(()(())()()(()))((()())()()((())()())(()))(()()(())())(()((()))()(((()))()(()))()()(()()(()(())())(())()))((())(()(()())())()((())()())()(()))(((())()())(()((())())(())(()()))(()()())(()()()())(()()(()()))((()))((())(())())(()()(()))((()())()()(()())(())()(())((())()(()))()))) (((()(()()())((())(())())(()()())((())()()()(()()))(()))((()))()(())()((())()()(()))((()()())()(()()()(()))()())((()())(())(())())())((()()(()()())(())()())(()()()(())()()(()))(()())(()())(())(()(())())()(())())(((()))(()(()))()(()())(()()(())(()()()))()(()(()(())))(())())((((())()())(())(())()((()))(()))((())(()())((())(())()()(()())(()))(())(()()()((()))(()))()()(()))(()(()()())(()())())((())()())((())((())()()(())()(()()))(())((()(()()))(())((())()())()()())()((()()()())()(())())(()())(()())(()(())()()))(()()())((()())()(()))(()(()()()(()))())((()(())())()(()())()(()()(()))()))((()()()((()))())((())())()()(())()((())()((()))()))(()()(()()(()())(()()()))(((()))(()))(()())((()())()()(()())()()())())(()(()()()()(())())(())()((()()))()(()())(()))(()((())()(()(())(()()))()(()()())()()(()))((())()(())(())(()()())(()()()(()()))(()()(())()())())(()()())(())((()())()(()()())(())((())))((())(())))(((())()()())(()((()))(()()()()()(()))((())()(())(()()()))()(())(())(()(())(()())()))(((())(())()()(()()()))(()(())(()))()((()))()()())((()())()(())(()()())()())((())()())(()()(()))((()(()())()()((())(()()))()())((()))(()())((())()()())(()()())()(()(()()())()(()))()())(()()())(((())())()()(()))))
(((())((())()(())(()())(()))(()())(()(()())()()(()))(())(()())(()()()())((()(()))(())()())(()()()))(()()()()(()))((()())(())()(()))((()())((())()())(())((())(()))()(())())(()(())(())(()))(((()())())(()(())()())((())(()()(())()())()(()())(()()())()())(()(())(())()())(()()()())(()(())(())())(()())(()(()())())(()()))((()()()(()))(())(()()()))((())(())()(())(())(())(()())(()))((()())(())(()()())()())) (((()()(()()(()))()(())(()))((()(()()))(()()(())(()())(()))(()())(()()()()())((()())()((())())(()(()))()()()(()))(()())(()(()()())()()(()(()()))(())(()(())()()()))(()())(()()()()()))(()(()())())((())()(()())()(()))((()())(()()()(()))()(())((())(()(()))(()()())()(()))(()(())()())())((()())(()())(()()())()((())))(())((())(())()((()())()()(()))(())(()())(()())(()())())((()()())()()()(())))(()((()())()(()()()())()(())(()()()))(()(())()()(()()()())(()()()((())))()(()))((())()())((())()(()()))(()((()))()())(()(())(())())(())((()(()()))()(())))((())(()()()(()()))(())(()()(())())()()()())(((()(()))(())(()()()()(()()()))(()()())(()()()(()))(()())())((()(()))()()()(()))(()()()())(()()(())(()())(()(()()())(()())(()))()(()(()()()())()(()())()()())((())()(())()))((())(()(())(()))()(())(()())(()())(()()()))((()())(()))(()(())()()(()()))(()(()))(()(()()())()()))((())(())((())()()(())()())(()()()()(()))((()))(()))((()(())()()()(()))(()(()())(()())()(())(()))(()()())()(())(())(())(()))((())((()())(())()()())()((())()()()())()(()()())(()()())(()))((())(()(())()()())(()()(()))()((())(()))()())((()(()))(()()()(()())(()()()()))(())(((()))(())(()())()(())()())(()())(()())(())((()))(()(())()()()((())))))
(((())((())())()(()(()))())((()(()))((())()(())(()))(()()())(((())(())(()))()(())(()())((())))((())(()))((()))((())()()((())())()(()()())((())())))(()(()()(()()))(()()(()))()()(()()(())))((())()(())(())(()))((())((())()(())(()()())(())(()))(()(())()()(()))(()()())((()))((()))((()())()()(()()))(()()()))((()()(()))(())()(()())()(()()())((())())())((()())()()()(()))(()(())()()(()))(()()()(())(())())) (((())((()))(()(()()))(())(())(()())(()(()())()))(((()(()))()())()()((())(()()())(())(()()()()())())()(()())()((()))())((()(()())()(())(()))()()(()()()())()(()())(()())(()()))(((()())(()(())(())))((()(()))(()())()())(()()(())(()))((()()()(())())()()(())()(()()())(()())())(()(()()())((()())()()()())((())()()())(((()))(()))()(())(())(()((())())(())()((()))))((())((()())(()()))((()())()()(()))(())(()(()))(()()(()())())(()(())()((())())()()(()()()()))(()(()())(())((()))()((()())())()))((())(()())(()())())(()(()(())(()()))(()()())()(()())()(()()()))((())(()())(()()())))((())()((())()()())(()(())())(()(())(())()(()()))(()()())()((())()))((()())((()())()((())())(())()(()()(()))(()))((())()())(())(()()(()())()(()()))()((())(((())))(())()()((())()()()(()(()))(()()))(())(()(()))(()))())((()())()()(())(()()(())(())()())(()())()((())()()()()))(((())((())()()(())())((()()())()())((()))(())(()((())())())(()))((())()())((())((()))()()(())(())())(()()(()())(())())((()(())())()())(()()())((()()()(()())()())()(())(()(()))(()((())(()))(())(()()())())(())((())(()())()()())((()())())())(()(())(())(())(()))(()))((()())()(())(())(()()()()())((())()()(())())(())(())(()(()()())()(())((()))(()(()))((())))))
(((()(()))(()(()))(())(()())((())()()()()())(((()())(()))()(())(())(()))((())())((())()()())(()(())()(()()())((()())()(())(()))(()(()))()(()(())()(()))))((()()(()))()(())(()()(())())()()())(()()(())()())(((()()(()))(())()())(()()())(())(())()(()()()))(()()()()()(()()))((())(()()(()())()()())(())(()())(()()()())(())(()()(())(()(())())(())))(((())())()()(()()))(()(())()()()(()))(()((())())()(())())) (((()(())()())(()(()))()()(())(()()(()()(())))()())((()(())())()()((())()(())(())(()))(()())()(()()()())(()))((()(()())()()()((())))(((())())((())(()())()(())())()(()((()())()())(())(()())()(()(())()))((())())(()(()()()))()((())()())(()()()))(()()(()())())(()(())(()()(())())(())())((())((()())())(())((()()))()()((()())()(()(()()))())())(((())())(()((()))(()(()))(()()))(())(()(())(())(())(()(())()))(()())((())()(()))(())()((())()))(()()(()()))((())()(()))(()(()()())(())(()()()(()))()))((()())()()((()())(()()))(())((()())((()))())(()())((())()))((()())(()())(()())()()((())(())())(()()()()))(((())())(())(()()()()())(()())(())((()())((()))(())((()())(()))()()())((())()())(()()(())()())())((((()))()()((())(())(()())()(()))(()()(())()(()())()(()()())(()))((())()()))(()(())()())((()())(()()()()(()()())())(()()())((())(()())()())(())(((()))(())()(()())(()()())())())(()()()((())()))((())()(()())())(()(()())(()())((())))(()()())(()(())(()()))((())(())((())())()()))((()(()())()()(())(())())(()(())(()))(()())(()())(()(())()()()(()()))(()(()))(()()(())()((())()()())((())())(()()))((()()())())(()(())()()(()(()())())(())()((()()())(()))))((()(())(())(()()))(()())(()(())((())()))()()(())(())(())))
(((())((())()()())())(()(()())()(())(())()())((()(()())()(())(()()())())(()(()))((())())((())()(())(()))(())(()()()(())(()(()))()(()((())()())())()())((()())(()()))(()()())(()))(()()()(()())(())())((()(())()())(())(())())((())(()()())()(()()(())()(())))(()(())()()(())())((())(()())()(()()())(()(()())(())(())(()))()(()()))((()((())())()(()()))((()()(()))(()())(())()())()()(()())(()()())(())(()()))) (((()(())()(()()))((())()()()())(((()()())()()()())(()(())()(()(()))(()))(()())(()())(())(()(())()()())(()()(())(()())(())))(()(())(()))((()(())()())(()(()()())()(()()()))()()((())(())()(()))()(())()(()))(()((())()())()()(()()()())())(()()((())()))(()()())(((()))(())((())(())())()(()()(())(())())(())(())))(((())()()())()(()()())((()))()((())()(()())(()())()()((())))(()()())()(()(())()(())))(()((())()())((()())()()((()()())(()))())(())()(())(()()()(())(()())))(((())(()))((())()(())())(()())(()()())(())(())())((()(())()()(()))((()())((()())(()(()))(()))((())(()()))(())(()())((()())(()(()())()())(()()()()())()(())((())))(()())(()())(((()))))(((())()()())(()(())())(())()()(()()))(((())(())())()()()()(()))((())((()())()())(())(()()()(()()()))()()(()())((())())(()()))(()(())())((())(())(())(()))((())(()()(()())(()()()))()()((()()())()())()((())((())())(())()()(()))(())(()))(()((())())()()))((()()(()))((())())(()())(())(()()())()(())(()))((())(())((())(())(())()())(())(())()(()()(())()))(()((()())((()()())())(()()())((()())()()())(()()()())())((()))(()())(((()))()(()))(((()))()()()(()())((())()())())(()())(()())((())(()())()()()))((())(()())(()())()(()())()((()())()()()())(()()()()(()))))
(((())()()(())()())((())()(())((())))(()(())()(()())(()))((()())(())(())()(()())((())(())())(()()())(()()(()()())()()))((()())((()()())))(()((())()()()())(()(())())(())((()())()))((((())(())()())()(()(()()))(())()())((())((())()())()()((())))(()())(()()()(()))((())(()())(()))(())((())(()()))(()()(()))())((())()(()))((()())(()())((())(())()()(()))()(())(()()()()())()(()())(((())()())()(()())()()))) (((())(())(()(())(()()))()(())())((())(())()((())()()()(()()))((())()())()(())(()(())))((()()()(()))(())(()(()())(())())()(())((())())(()())()())((()())((()(()()())()(()()))()()((())()(()())(()())())(()())())((()())())(())((())(()())()())(((())()(()))(()())((())()()())()(())())(()(()()())(())(()(()())()))(()()()))((()()()()()(()()()())())(()()()())(()()()())(()())(()()())(()()(()(()))())(()())((())()()()))((()(())()()())((())((()))())(()((())()((()))())((()())()()()(()(())()))(()(())(())(())())()(())(()(())))(()()(()()())())((()()(()))())((()())(()(())(())()()())((()))(()()(()))()(((()))()()((())())((())()()))((())())((()()())(())()())(()()))((()())(())(()(()))(())(()())(()()())(()(((())()())())(())(()))(()()()(()())())((()())()(()(())())()()))((()())()()(()))(((()))(())()(())((()))()(()())))((()())(()(()))()(()()()(()(()))(())())(()())())(((())()()()(()())()())((()()()()())(()(())(()())())(()(())(())(())(())(()()))(()(()))(()())(()()())(()()())((())()))((()(()())())()(())(())(())()())(()()()())((())()(())()(()))(()()(())(()())()())(()()())((()(())()())(()()(())())()(()()(())())()(()()))((()(()))()()()()))(((())()(()))((())(())(())(()())()(()))((()())()(())())()(()()(())()())()()))
(((())((())(())()()()())(()()())()()())(()()(()()()(()))(())(()())(())(()()))((()(())(())(())((())))(()(())()(()()())(()()))(()())(()()(()())(()()))(()())((())()))((())()())(()(())(())(())(()(())(()))(())(()()))(()(()())(()()()(()())())(()()())((()())()()(()())()())(()(()))()()(()(()(())(())()())((()(()))()(())()()())(()()())()(())(())(()())()))((()())(())()()((())))(()()()())(()((()()))()(()()))) ((((())()())()(())((()())())((()())()()())()(()()))((()()()())(()()()())((())()()(()))((()(()(())((()()))(()))()(()())(())()(()())())((()()()())((())(()())())((())())()()(()())())(()()()())((()))(()()())(())((()())()())())((())()((())()))(()(()())(()(())()(()()()))(()())(())((()()())()()()(()))(()((()))())((())))(()()(()())())((()(())()(()))()(()())(()())(()()))(()(()()())(())((()))()(())))((()()()()())()(()()()(()()())(()))((())()()()())((()))()(()()())((()())(()()()())(())()(()()())(()()()))())((()(())(()))()((()))()(())(()()(()()))(()())(()())(()))(()((())()()()())(()()()(())())()()()(()()()()()(())))((()()()(()))(()(()())())((()()())(()())(()(()())()(()))()()(()))(((())(()())()()(())())((()())()()(())(()))((()))(()(())()()()())((())()())()(())((())()())((())()()))(()()(())()(()))(((()))()(()(())()()(()))()((()(())())()()())()())((()())(()(()))()(()))((())()(()))((()())(()())(()())()()()(())))(((())())(()()()(()()()())(()))(())(()()()()()(()())))((())(())(()(())(()()))(())(()()()(()))()()((())(()))())((()()(()))(())(()())(()(())((()))(()())())((())(()())()(()())((())()))(()(()((()())))(()(())()()())(()(()))())(()(()())((())(())()()(()()))()(()(())()()())()((()))()(()))(()())()))
((((())()()()((()())())())(())(()()())(())((())(())()(()()()(()))(())(()(())()(())))((())((())())(()())(())(())(())(()())(()(())))(()())(()()())())(()()())(()()(())())(()(())()(()())()())(()(()()())()()(()()))((()()())(())(()()(()()))(())(()(()))((()())()((()())())()(())()(())())(()))((()())()())(()(()(())((())))((()))(())((()())()()())((())()((())()())())(())(()())(()))(()((())())()(())((())()))) ((((())(()()))()(())(()()(()))((()()(())()())()()()())())((()(()()())(()()()())()()()()(()()))()(()()(())()())((()()()(())()()())(()()(()))()((()))(((()))()(())()())(()()())(()))(())(()()()(()()((()))())())(()(())()())((())())(()))((()((())()))((())()(())())(()()(()))()(())()(()(()())()()())()())((()(())()())((()()((())()())((())()())()(())())(()()())()(())((())()(()(()))(()))(()(())(()())((()))(())(()()()))(())(()()())(()()()()))(()(())()())((((()()()))())(()()()(()))((())()()(())()(()))(())(()())())((())(())(())())((())()(()))((()())()(())()())(()((()()())()(())(()()(())()(())))()(()(()))(()(()))()(()()())(()(()()()())()()(())))(()()(()())(())()(()(())()()())))((()())(()())((())())(()()()(()()())())(()(()))(()(())(())()((())()))(()())(()())((()()())()(())))(()(()()())((())()()())()((()()))()((())()())(()()()))(((()())(()())()(())((())(())())(()()()())(()))((())()()())(()()()())((())()()(()))((())()(()())()()(()(()))(()))((()())((()))())(()(()(()()())(()())())()()()()(())(()()()(())))((())()()(()()()(()()())(()))(()()())(())(()()(()(())())(()(())()))((())()))(()()(())()))((()(()())()(()))(())(())((())(()())())(())()()(()()()()()())())((()(()))()(()()())()(()(()))(()())(()()())()))
((()()())((()())((())(()))()(())(())()((())())())(((())()())((()())(()())()())(()()())()(((()))()()())(())(()))((())()()(()))(()()(())())((())()()(()))(()()(()))(((())()(()))((()()())()(()())((()))(())()(()()(())()))((())()())((())(())())(()(()())()(())(()(()())(()))()(()()(())()))(()(())()())((())()())(())())((()(())()()((())()))(()(()()))((())()())()(()()()(()(())())(())())()()(()()())(()()()))) (((()())((()()(())())(())((()())(())(())())((())(())(())()(()))(())()(())(()()())())((())(())(()))(()()()()())(()()())((()()())(()()())()(()()()()()())(()))(()(())(())(()))((()())(())(()()()())(()()())()()(()()(()()())())(()))(()()()()))((())()()(()())()(()()()()(()()))(()(())(())())())((()(())(()()()(()))()(())(()()(())()))(()()())(()()())(()()(())(())(()()))(()())(()()()())(((())()()())(()(()())())(())())(())((()())()(()(())()())(())()(()()())))(()(()()())(()((()))()()((())())()())(()()())(()(()))(()())(())(((())())()()((()))))((()(())()((()))())((()()))(()()(()())(())())((()()))(()()(()))()()())((((()))()()()(())((())()))(((())()())()(()()(())())()(()(())(())()()((()())))(())()(())(()()(())()))((()())(())(())(())(())(()()(()))(())(()()))((()()()())())(()(()(())(()()(()(()))())(()())())(((()()(()))((())))()(()())()(())((())(())(())()))((())((()())()))(()()()())(())(()())(())(()()))((()())()()((()())))(()()(())(()())())((())(())(())()(()()())(()()(())()))(()()()(()())))((()()())()(())()((())())(()()(()()())(())())((()))(()()))(()((()()())())(()())(()(()(())())(()()))((())())(())((()()())(())(())()(()())()(()()(()())(())(())(())()))())((()()(()))()()((())(())(()()))((())(()))(())))
((((()())(())()(()())(())()(()))(()())(()())((()())()()(())(())(())()(()))(())(())())(()(()())()(())(()()()())(()(())(()())))((()()())()()()())(()(())()(()))(()(()(())(())(()()()(()))(())())(()()(()())()())(())((()())((())())()(()())()(()))(())(()()()())(()(())()))(((())()(((()()))()(()))())(())()((())(()(())(()))(()())()())()(()())()()(()))(()()(())()())(()(())(())()(()))((()()())(())(())()(()))) (((())(()()(())())(())(())((())()(())())(()()()())())(((()()(()))()(()())()()())(()())((()))(()(())()(())()())(()()())())((()()((())(())()())(())()(()()()()()())(()()())((()))(()(())))((())()()(()((()))))(()()()((())))((()())(())(()()()()())(()())()((())()()()()()(()()))((())()()()(())(())())(()))((()()())(()(()(()(()))()())(())(())()(())(()(())()))(())(()()()((())())()(()()))(())(())()((())()())(()))(()(())()()((()))(())())(()()(()(()))(()))(()()(())()(())())(((()(())())()(())(()))(())(()())(())(()()())(()())))(((()()())())(()((()())()(())())()(())(()()())())((()())(()))(()()()(()))((((())())()(()())(()())())(()()(()())())(())((())()())((())()(())()())(()())(()()())()(()()))(()(()))((())(()))(()()()((())()())()(()((()())())()(()()())())((()()())()())((())()))(()()))((())((())()(()())()(()()())(()())(()())())(()()(())())(()()())(()((())))(())((()))(()())(()()()(()())()))(()(()()(()(()())())())(())(()()())(()(()()())()()(()()))(()())(())(((()()()())())((()))(()())()()(()()()()()()))((()()())((())()()()()())(())(()())(()(())(()))()(())))(((())()()(()))()((()()())()())((())()(()(())))()(()())(())(()))((())()((()))(()()())()()()((()()())()))((()()())(())()(())((()()))(()(()())())(())))
((()((())(()())()())()()(())(())((())))(((())(())(()()))((()))())((())(())()(())()())(()()(()))(((())(()())(()))((()())())((())()()(()))()(())(((())((())()))()(()())(()())(()())())(()(()()())(())((())))()(()))(((()())())()()()(())((())()()))((()())(()(())(()())()(()()())())(((())())(())(())(()()))(())((())(()())()(()()))()())(()()()(()(())()()()())(((())())((())(()))())()(()))(((()))((()))(())())) (((()()(()))(()())((())(()()()))()((()())()()(())())((()())()(()()((()))())((())())(()())(()))(()()()(()(()))(())())(())(()()()))((()(()()())(()()())(()()())((())(())()()((())()(())()(()))()(()))(()(()(())()(()))(()())(()())(()()()())()()(()))(())()((())()()(())))((()())()()())(()()()((())))(()(()(()))()()()(())(())(()(())(()())(()()))(()))(()(()())()(()))(()(()(())(()())()())()()(()(())))(()(())(()())()())(()()(()()()(())())(()()((()))()(()()()())()())(())((()))()(((())())()(())(()())())(()))(()()(())(())))(((()))(()()()())(()(())()()())(())()(()))(((()(()(())(()()()))(())(()()())(()))(())(()(()))(()())(()()()(()(()))()(()))(()())()(()))((())()(()(()(()))()())(()(())()(()()))(())(((()))()((()()))(()(()))(()))())((())(())()())(()()(())()())(()(())()())(()()()()((()))())(()()()())((()())()(()(())())(())(()())(()))(()()))((()()()()(()()))(()()(()))(()()())(()()()())(()()(()())()())(()(())(())(()(())))((()(())()())((()))()()())(()()(((())())(())(()))(())(()())(()())((())()))(()(()())))(((()))()(()())(()())((()())(())()(()()()))()(()))((()())()(()()())(((()))()())(()())(())()(()))((()(()))()()(()(())())(())(())(()()())((())()()()()()))((()(()))(())()(()(()))((()))()(()(()())(()())())))
(((())(())()()()(()())())((()())()())((())(()())()()()(()())())(()()())((())()(()()()())((())()(()))())((()()())(())((())())(())(()()(()))(()(()())(())()()(()))(()(())(()()()(()()))(((())())()()((()))(())())()(()))((()())(())(())(())(())())(()))(()()()(()())(()()))(((())()()()(()))(()(())(()())(()()))(()()())()((())))(()((())()(())())((())(())()()()())()(()()())(()()()())(()(())()()((())(())())))) ((((()()())()(()((()))(()))()()())(()())(()((())())()()()(()))(()(())())(()()())((()())((())()()(()))()(()())((())()()))(()()()()(()))(()(()())(()(()))((()())())(()(()()(()))()(())(()))(()()())()(()()()(()())()()(()())(()))(()))((())()(((())))()))((())()(())()((())()(()()))((())()()(())(())())(()(()))(()()))((()(())(()))((())(())(())(()))(()(())(()(()())())()(()())(())())(()(()())()(()()(())())(()())())(((())())()()((()()))(())(()))(()()())(((()))()()(()))((()())())((())()()(()())))(((())()(()()())(()))(()()((()()()())(())(()()())(()))((())(())(())()()())(())((())()(())()(()())))((()()())(()(()()())(()())(()()())()(()))(()())(()(())()())(()()()(()(())(()))((())()()(()))()(()))(()()())(()())((())()(())()()(()))())(()()(())(())())((()()(()))(()()(())())(()())(())()())((())((())()())(()())(())(()))(()())(((()))(())()(())(()(())(())(())((()())())))(()()()()(()())))((())(()())()(()(()())())()()((()())(())(())()(())))(((()())()()()()(()()()()))((()()())()())((())())()()(())(()()))((())(()()(())(()))(()(())()(()))()()(()))((())()()((())())()((())())((())()(()))()(()()()(())()()(())))((()())((()(()))()()(())(()()))(()()())()(()(())())()(())(()(()(()))()()())(((())()())()(())()(()()())())))
(((())(()(())()())(()()()((())))(()())(()()(()())(()())()(()(()())))(()())(()(())())(()))(()()())(((())()())(()())(())(())(()())()((())()(((())))))(()(())()(()))((()()()(())())(()(()))(()()())()((())())()(()()()))((())()()(()())()()())(()()()()(()())(()())())((()((()))((())()()()())()())((()())()())(())(()())()()((()()())(())((()))(())()()(()()()))(()()()()(()))(()(())()()))(()(()()())(())(())())) (((()()(()()())()())()(())(()())()((((()))()(())())(((()())())(())(()()())())()((()))()(()(()())())())(()(())(())())((((())())()())()(()()()())()(()()))((())()()))((())()(()()(()()()())(()))(())()(()()())())((()())(()()()())()(()())(())(()(())))((())(())()((()())(())()()(()))(())()(()())(())(()(()()())()(())(()())()))(()()(()())(()(())()()((()())))()()(()(()())()()))(((()())(())()(())())(()(())(()))((())()((())()())()()()(()))((()(())())(())(((())()()(()))()()(())((()())()())(())(()))(((()))()()())(()()())(())((())()()(()()()))((())()())())((())(()()())()()(()()))(((()))(()(())()))((()())(((()())(())()())()()(())()(()))((()()())(()())(())()()())(()()())(())(()()(()))(())())((()()()(())()(()))()(()())(()())()(()(()))(())())((()(())())(())(())()(()(())())(())(()()())))(()(()())(()((())())())()()(()())(()(())()())()(()))((()()()())(()(()()(())()())((()))())()(())(()())(()())(()(())()())(()(()(()))))((()(())())(((()))(()())()(()(()()())(()()()))()()(()(()())()()()((())))(((())))())((()(()))(())((()()())()()()())(()()()())()((())(()()())()())(()())(()()(())()()))(((()())()())(()())(())(())(()())(()()))(()(())())((())()(()))((()(())())(())(())(()()())())(()(()())()())(((())())()()()())))
(((()(())(())(()))(()(())())(())()(()())(()())(()(())()())(()(()(()())(())())()()()())((())()()))((())(()(())()(()))(()()())(()()())(())((())(())))((())(()()))(()()()()()()()(()))((()()())()()()()(()()))((())((()))()(())(()())())((())()()(())()(())())((())((()())((())()())(()()()(()()))(()())()(()()))(()()())(())(()()((()))())(()(())())((())()(()())((())())()(())((())(())()()))(())(()()))((()()))) (((()(())())(((())(()))(()()())()()((())()(())(()))(()(())()()))(()())((()())()())((())())(()())(())((()()()(()))(()(())(())(()))()(())(()())()()(()))(()(()())))(((())()(())(()))(())(()(()(())())()())()((())())(()()())()(()())(()))((((())()())()((())())())(()())((()()()())()(())()()())((())(())((())())()())()(()())((()())()()((()))()())()(()()()))((()((()))(())()()(()))(()(()())()()())(((()())(()())()())()(()())(()()())((()))(()()())()((())))(()(()())())((())(())(()))(()((())())(()()())()()()(()()))((())()()()(())()(()))((())(()()()()())(()()()(()))(()()())(()()(()()(())())(()()()))((())())(()()()()(()())((()))(()))(())(()()()))(()(())(())()(()()()(()))(()()()(()()))(()(()())()((()))()(()))(()())(()(()())(()()())()())))((()())(()(())(()))((()))()((())()())(())((())())())((()())(())(()()())((())())(())((()())(()())(())))((()()(())()())(()()(()))(((()))()(())()(()()())(()()())((())()()()))(((())()()()())()((()))((())()(()()()(()))()()(()()))(()()()(()())(()(())())())(()()()())(())(())(()))(())((()(()))()()()(())(()(())(())()()())(()())(())())(()()()())(((()))()()()(()))((())()()()))(()(())(()()())(())(())(()(())()(()())())(()(())))(((()()(()))(()))(())((())()(()))(()()()())()(())()))
((((()))(()()(())())())((())()(())(()))(()(()()())(()()(()))())(()(())(())(())()(()())((())())(()()))((()(()))()()(()))(()()()(())((())()))(()((())(())(()())()(()))((()())()()())(()()())()(()()(()())())(()()())(()()())(((()))(()())(())(())((())()(()(())()))(())((())()()())))(((()())(()())()())(()(()))(())(())()(()(())())(())(()()())(()()(())((()()))))((())()()(()()()())()((()())()()()())(()(())))) ((((())(()))((()()()(())()(())())(()()())(()())()())((()()())()()((())()(()))()()()(((()))()()()))((()()(()())((()))(())()(()()()))(()())(()(())(()((()))())()((())()()())())(()(())())(((()))(()))(()())(())(())())(()(()))(()(())(())()())((())())((())()()(())(()())))((()())(()())()(()(())(())())((())(())()(())())()(())(()(())())((())(()())()()(()())(()()())()))((()(()))()()(()(())(()))((()())()(())()()())(())()())((())()()((())()()()())(((()))()((()))(()))(()(()))(()))(((()()()(()())((())))()(()(())()(())()()()(()))()(())((()))())(()()())(()()(())()(()(()))()()())(()(()()))((())(())((()()()))(())(())())()((()()))(()()())(()()()))(((()())()(())()()()(()()))((())((()())()()(()))(())(()()(())(()))()(()()()((()))()())())(((()))()(()(())))((()())(())(()()(())())(())(()())(()()))(((())(()(()))(()())())(())(())((())())((()(())(()))()(()())()(())())(())((())()(())((()))))((())())(()(()())()(()))((()()()((())(()))())(()()(())(()()))(()())(())(()()(()))(())(((()))()(())()(()()()())(()))((())()(())))(()()()()))((((())()())(()(())())(())()()()((())))()()()()(()()(()))())((()())(()()(()))(()(())(())())(()())()()(())((())))((())(()(())())()((()()(()))((()))()())()(())(())((()())(())(())()())(())))
((()()()(())())((())(()()())(())((()())(()()()()(()))(())()(()))(()(()))((()())(()()((())()))()()()())((())()()()()(()()(())))(())(()))(((()()()())(())()())(()())(()(()())()()()(()))()((())()())(()())(()()((())()())()())((())))(()((())(()()))(())()()()(()(())(())))(()(())()())((()()(()))(()(()()())()())()((()())()()()())(()())(())(())(()))(()()()()()(()(()())))(()()(()())()())((())()()(())(()()))) ((((()(()(()))())()(())(())(()))((())(())()(()))(()()(())()(()))((())(()(())())()((())(())())()(())())()((())())())((()()())((())()(())(()))(()()()(()))((())()())(()()))((((())())(()())())(()())(()(()())())((())()())(())()(())(()))((()(()()(()))(()())(())(()(()))(()))(()(())((()))()((()))())(()(()()))()(()()())(((()()())()()(())(()()()()))(()())()(()()()())()()(()()()))(()(())())(()))(((()())()()())((()())()(()))((()()())()(())()()())((())(()(())())((())((()))(())(())(()))()(()())((())(())()()()())())(()()(())()())(())(()(())())((())((())())()()()((())(())()))((())(())(()(())(()()()())()(())(())())(()()(()(()()))(())()()(())())(())(()(()))()((())()()()())()))((()(())()(()())())(())((())(()))()((())()())((()))(()()(())))((()()(()())()()(((()))())(()())(()()(())()))((())()(()()())())(()()()()(())((())))((()())(()())()())((()())(()())(())(()()()))((()()()()())(())(()())((()())(()())()(()))(())(())((())()()()(())(()()())))((()())(()()())(()()()())(())()())(((())())()()((()()(()))()()(())()((())))((()()()))()()(()((()))()(())(()()()))(()()()(())()(()())))(()()))((())(())((())()(())()()()((()())(())))(()()(()())())(()()())((())())(()()))((()()())(())()(()())((())(()))(())(()()(()))(())))
(((())(())())(()()(()()()())(()(())())(()()())(()()(())()()(()()))(()()))((())(()()())(()(()())()((()))())((()))(()()())(()()(())()(())(()()))()(()(())()))(()(())()()((())()))(((())()())(()()()))((())()(())(()))(((())())()()(()())()()()(()()()(())))((((())(())()(())())()(()())()(())((())())(()))(()())((())()()())(()())((()()())()()(())())(((()))()()(())(())(()()()))(())(()))(()(())(()())()(()()))) (((()(())(()(())))((()())(()())()((())))(()(()()(()())((()))(())((())()())()())(()(())()())(()())()(())((())(())()())(()(()()())()(()()()(()))(())()()(()))((()())()()))(()()(())(()(()())()))((())(()())()())(((())()()())()()()(())(()))(((())()()(()())()(()))()((())())(())((())())(())(()()())(()))(((()))()(()())((()))((())(()()()()))((())(()(()))(()(())())(()(()))()()())((())(())(()()())())((())()))(()()()(()(())())()))((()()(())(()))(()()())(()(((()))()()())(())()()(())((())()(())()()(()))(())(()))((()))((()())(()()())(()())(())(()()))(()()()(()()())(()))((()()((())())())(())(()()()())(())(())(()())((()())()()(()())()())(())(()))(()())((())(())((()))))((())()(()(())(()(()))()())(((()))())(())(())(()(()))(()()()(())))(()(())(())(()()(()))(()())(()()()(()))(()))((()())(()(()))(()(()()())())(())()(()())())((()()())()()((()()())())()(()(()))(())(()()()()(()()())))((())(()(()()(()()())())()(()()(()(()))())(())(()(())(()))())(()()()()()()())(()((()))(())(())(())(()())())(())(()(())())()(()()()(())(())(()()))(()(())()(())))(()()(())(())(((()))()(())())((()())(()))(()()))((()()())((()()())()(()())(()))(()())((())()(()))(()()())()(((())()((())()))(())()(()())(()())(()(())((())())()))(()())))
((((())()())()(())(())(()()))((())(()())()(()()))((())()())((()(()))(())()(())(())())(((())())(()())((()())()(())())(()())((()())()((())())())(()()()(())()()((())()))(())(()((())(()))(()())()(()()())(()(())()))(()()(())()))((()()())((()()())(())(()())()()()((())()())(()())(()))()((())()(())())(())((()()())()(())()()())(()(())))(()()()(())())(()()(()(()))(())()(())(()()())(()))(()()(())()((())()))) (((())(())(())(())()()((())(()())()(())(()()()))((())(()())()))((())(()(()())()())(())(())((())())(()()(())()())(()))((()()())(()(()()()())()()()(()()()())())(()()()(()()()(())())()(())(()()(())((())()))(()))((()()())(()()(()))())((()()())(()(()(())(()))(()()(()())())(()()))(())(())(()()())(((()))()()()(())())(())((()(())())()()(()()())(())(()))((())()))(()()(()(())()())(()()()))((()())()(()()))(()()()(((()))()())()((())()()))(()((()))(()()(())()())(()((())())()()())(()()(())()()())(()())()))(()(()())(()(())())(()())(()(())()((()))())(())(()(())())())((((())(()))()(()()())((()())()(())()(()))())(())(()())((()(()()))()(())()())(()()())(()())((())()((())()()()(()))((())())(()(())()())(()())(()))(()())((())(())()(())()))((()(()()()())(()()())()()((()))())(())(()())(()(())(()())(()))(()())(())(())(())(()()(())(())))(()()(())((()())())()((())()(()))((()())()()()))(((()))()()((())())(()()(())())((()())(())()())(()())())((()(())()(())((()())()()())(()()))()((())((()())()(())())(()()())(())(())(())(()()()(()(()))())(()())((())(()()())(()())))((()))((())()()(()())(()()))((()())((()())(())(()()))(()()(())())(())(()()()())(()(())())(()(())(()()()())(()())))((()())())(()(()))((())()(()())())))
(((()(()))()()(()()())(()()))((()(()())(())(())(())()())()(()())(())(()(())())(())(()())(()(()()()())()()))((()(())())(()())()()())((())(())((()))()()(()(())))((())()()(()()())(()()))((()()())(())(()())(())())((()(((())())()())()()()(()()()))(()())(()(())()(()))(()())(())((()()())(())()(()()))(())((())(())(()(()))()()())(()))((())()(())(()(()())())(()()(())()(())(())(()))()(()())()(()))((())(()))) (((()(()()())(()(()()))())((()))(())(()()(()()()())()(()))(((()())()()())()(())(()()()(())()(()))(())(())(()(())(()())(()))()())(()(())()()(())(()))(()()(())()())(()(()())((())()()()())(()()(())))((()()(()))((()(()))()())(()()()()(())(()))(())()()(())(()()(())(())(()()()())(()))(())))((()()()())(()())(()())(()()())(()()(()())()()()())(()())(()))(((()()))(()(()))((())()(()))()(())(()(())(())())())(((()())()(()())())((())()()(()())(()(())()())(()()()(())))((())(()())(())(()()())(()()())(()(())(()(()())())()(())())((()())((()))(()())(()()))((()())()(())))(()()(()))(()()(()())()()(()())(()()()()))(((()())()(()))(())(()()(())(()())(()(())()))(()((()))()((())())())(()())(())(((())()()()())()()()()(()))(())((())(())((()())())))(()()())((()())((())())()())((())(())))((()()(())()())(()())(()()(()))(())()()())(((())()()(()())()()(()()()(())))(()()(()()))(()()())(())(()(())(()()()()())(())(())()()(()(()))(()()))(()()()(()()))((())()())(((())(()))()(()(())(()))()(()))(()()()()))((())(()(())(())())()((()))(()()(())()())())(()(()()()())()(())(())(()())((())()(())(()))(()(()())()))((()()())(())(())(()()()())((())()()()((())(()()()())))(()()()(()()())(()()())())(()()())(()()()(())(()())())(()())))
(((())(()((())()())(()()))(())(())(()())(()(()())()())(()(())(()()(())(()))()()()(())())(())())(((()(())(()()))(())()())(())(()()()())(()())((())(()))(()()((()()())()(()))()(()()())(()((()))()()))(()())(()(())(()())(())(()))(()()()))((())(())(())(())(()()))(()())(()())(()(()())()((())()()))(()()((()()()))()((())()())()()((())()()))(()(((()))())(())()()(())(())(()(())()(())))(()()()(())()((())()))) ((()((())(())((()))(()))()()()(()()()()()())(()(())()()))(((())(()()())((()())())()())(((())))(()()()())((())(()()))()((()())((()()))((())()())()(()()()))(()()(()(())()())(())(())()(()()()))(()(()()()())()))(((())(())()())((()()())((())(())())((())()()()(())()())((())()(())()(()))(())(())(()(()))())((()(()))(())((()())(()(()))())(()())(()())(()((()))()(())(())())((()())()(())())())(()()())(()()()())(()()()())((()())()(()())()(()()))((()(()))()(()(()()())()())(())()(())))((())((()))(()(()())()()()((())()()()())())((()())()()((()))(())())((())(())()()())(()()())())(()((()))()(())((())()())(()()(()()())))(((()())(())((())())(())()())((()()())()(()()())()())((())()()()(())()())(()(()())(())(()()))(()()()()(())(()))((()(())()(()))((())()())((()()()()(()))(()())(()()())()(()(())()(()(()))())(())())(())(()(()()))((())(())(())())((()())()()(()()())(())(()())())(()))(((())())()(()()())(()())()(()(())()(())(()))(()(())(())(()()(()())()))(()(())()))(((()())(())()(()))(()())()()(())(()(())((()))(()(())))(()())(())(()()))((())()()()))(((())())()()()(()(()())(()()))(()()()(()()()))((())()))(()((()))()(()()()())(()()()())(()(())())(()())()(()))((())(())((()())(()())()())(()())(())(()()()())()()))
((()(()()())())((()()(()))()(()()())(())()(()())((()())(()())))((()())(())(()(()))())(()(()(()())(()()))(()(()))(()()()())()()(()(())))((())()(())(()))(((())(()())()((()))()(()))(())()(()()()(())())((()(()))(())()()(()())(()()()))(())(()())())((()())()(()())())((())()(())()())((()(()))(())(()(()))((())(())((()))()())(())(()(()(()))())(()((())())(()()(()))(()())())((())(()()(()()()))(())(()()))())) ((()((()))(())(()())(()()()())(()()()(()()())(()()()))()(()()))((()()())((()(()))(()())()()())((())())(()()(()()))(()(())())(((())(())(()))(())(())()()()((()))((())))(()()()())(()(())()(())())(((()))((())(())())()()()(())(()(())())))(((()()()((())))((())())(()(()))(()(())()()(()()()))()()(())(()(())))(()(()()))(((())(())(()))((())(())(()(()))()()())()(()()()())(()()(())()()())((())()()(()(()()))(())))(()()(()())()())(()(())(()())(()(()))(()()()))(((()())())()(()()()(()))()()(()))((()()())(()))((()()))(()()(()())))((()(((()))())(()())(()))(()()())(()()()(()))((()())(()()(()))(()()())()(())(()((())())(()))(()())())(()()()((())()))((())(()())())((()()(()((()))())((()())())()(()))((()))(()(()))(()(()())(())(()())(()()(())))((()))((())(())()()()())((()()())()))((())(()())()()())((())(()()()(()))(((()))()()())(())((()((())))(()()())()()())()(())(()(())())))((()(()(())())(())())()()((()())()(())())((()())()))(()(()())(()())(()())()(())(()()()((())()))()(()(())()()()()))((()()(()))(()())()()((())()()((())()())())(()(()))(())())(()(())()(())((())()(()(()))())()((()())())(()()(())(()()))(()()))(()((())())(())(())(()(()()())()()(()))((()())(())()()())(())(()(()))((())(())((())()()()())()())))
((((())()(()))(())(())(()()(()())(())())(()()(()))()(()(())()(()))(()()((())(()()))())())(((()())())()(()(())())()((()(()())())()()(()())(()()()())())(()())(())(()()(()()()(()))())((())(()(())(()))()()))((())()(())(())()(())()())(()(()()())()()())((()(())()(()()))()(()())((())()())()((())()(()())))((())((())(())()()(()))(()()())(()()))((()))(((())())()()(())(()())(()))((())((()))()(())(()()())())) (((()(()))(()()())(())(()()())(((()))()(()())()())(()()))((()()()())((()()())()()(()()())(()()))((()()())()()((())()(())(())())(())(())(())((())))((())(())(())(()))((()((())()()())()(()())(())()()())(())(()()(()))(())(())(((()))(()()())()(()))(()()()((())())())(()()(())()()(()))((()())()))(()(()()()()())(((())()())()()()(()()()))(()()())(()()())(()()))(((()())())()()()(()))((())()())(()()()(()()())(()(()))))(((())()(()()))((()())()()()((())))((()())()()((())()))(()())((()())()(())()(()()(())()(()))(()())((())()(()()))()(()))((())(()()()(())())(()(())()(()())()()))(()()()(())()())(()(()()())(())((())()()())(())(()()()(()())(()()())(()))(())(()(()()()())(())(())()(()))())((())()(())(())(())))(()(())((()())()())(()()()(()())())(((()))(()))(())()(()()))((()()()()((())()))(()(()))(()())(())(())(()(()())(())()(())()())()(()(()())()()())())((())(()()(()()))((()))(())(()()()))(((())())(()(())())()(()(()())(())(())())(())()()()(()))(((()())(()())(()(()))(()()(()))(()))(())(()()((()()))()()())(())(())(()())((())())(())(()()(())))((()((())()(()))()(())())(())((())(())())(()()())((())()()(()))((()())()(()))(()((())(())()())(())(()())(()())()(((()()))()())())((())(())()()(())())(()()(())()())))
((()(()())(()((()))())()())((())(())(()()()())(()()))((()()(())())((()())(())(())(()()))(())(()(()()())()(())()())(()())(())(()()()()())(()(())))((()))((()())())((()()())((()(())(())())(()))()(()(())))((((())())()()()(()()()))(()())(()())()((())())(()()(())(()())(())()((()))))((()()())(()(()())())(()()())(())((()()(()))()()(())(())()()(()))((())())((())()()(()())(()())(()))(()()))((())()(())()())) (((()())(()()()())(((())())(()())(())()(())(()()()))(()(()))(()())(())(()()()(()())((())(()))(()(())()(())))(()(()())(())()(()()())(()()()()())((()))()(()()))((())(())()()))(((()())(())(()(())(()()()))()((())((()()))(()))(()())((())())())(()()()(()()))((()()(())(())(())(())(()()))()(()()(())()((())(()))(()))(()())(()(())())(()())(())())(()(()())())(()(()()())()(())())((())(()())(()())())(()()(())(()))(()(()()())(())(())(())()())(()()()))((()()()(())()(()))(())(()()())((()())()()()()(())())(()(())()()(()()())(()()()))((()(())())()(()(())()()())()()(())))((()())()((()()())(()()))(()()()(()))(()())()(()(()))(()()()))(()(()()())(()())(()())()(())(()))(()(()(()())(())())()(((()))()()()())((()())()())()(())())(()(()())((()()())())(()())()()()(()(())())())(()()(()(()))()((())()())((())()()(()))(()()))(((())(()()(()))())((())(()))((())())(((())()()((())(()))(()()())()())(()()())((())(()))(()()(()())(())(()(())()(()))()(()))(())(()()())((())())(()(()())(()())))((())(()())(()(())(()()()))(()((())())(())()()(()))(()()(()))(()()()()()())(())(()))(()((())()()())()(()())(()()(())()(()))())((()()())()()())((()()(()))(()()(()())()(()))()(())((()())()((()))()(()()))()(()()()))((())()(())(())(()))))
((()()(())(()()())()((())))((()()()()()((()())())())(())()(())(())(((())(()))(())(()()()())()())()(())((())()))(()(())((()(()))(()())())()(()())()(()(()())()()))(()(())()()(()()))(()()(())(()()()))(()()()()()()((())))(()()()(()))((()())(())((())())(())(()(())()())(())()()(()))(((()))(()())(()()(()())(()()())(()()())())(())(((())(())())(()())(())(()()())(())()(()())())(()(()))(())(()()()())(()()))) ((((()))()(()()())(())(()()()(()())()(()))(()())()())(((()())()())(())()()((()()))(()())(()()()))(((())()()()()(()()))((())()())(()()())(()()(())(()))(((())()()(()()))(())(()(()(()))())(())(()(()))(()()))(((())()(())())(()())(())(())(()())(())())((()())()())(()(()()))(()))((()(())())(((()()()()()())(())()(()))(())(()(())(()))(()())(()(())())(())(()())(()())(()))((()(()())(()())((())()()))((()))((()())()(()())())()()(()()()())(())())((()())()())((())(()((())))()(()())(()()()())(())(()))((()()())(()(()))(()))(()((()()()(()))()(())(())()((())))(()())(()()())(()())((()())()()((())()())((()()())))((())())(()(())())((())(())(())()(())()))(()()(()))(()()()(()())))(()()((()))(())(()())(()(()())()())((()())(())(())))((())((()))((())()((()())))(()(()())()(()))(()())((()()()())()(()()()()())()(())(()))((())())(()()))(((()())(()(())(())())(())(()()()())()((())(()())((())(()))())(())(()))((())()(())(()))(()((())((()))(()))(()()(()())(()()(()))(()))((()()())())(())(())()()(()()()()))((())())(()()()()()(()()))(()())(()()(()))((()))(((()())()()()())((())(()))(())((())()()(()))(()())))(((())()(()())()(()))()()(()()()())(()(()))(()())()((())(()())))((()()(())())(()()())(()())(())()((())()())(()())))
((((())()())(()())()()()((()())()(())((())))((())())(()(())(()()))(()(()())(())(())()()))(()()(()())())(()(())(()()())()(())()())((((()())()())(())()((())())(()()()())()())(()())(()(())())((())((())())()(()()))(((())()())(())(())())(()()((())))(())(()())((())()))(()()(())(()))((()())(()))((()())(()())(())(()()()(()()))()())(()(())()(()(())()(())()())(()()(())(())(())())(()())(()()))(()(())(())())) ((((()()()))((()())()()((())))(()()())((()())(())(()(()))((())(((())(()()))()())()(())()()(()()()))(()())(()(()()())(()))((()()))(())(()()()(())()()()))(()()()(()())()(()))(()(()(())())(()())()(()(())()(()()()))()(()))(()()(()()())())((())()(()())(())()(()))(()(())()(())((())()(()())()(()))(()(()())(()()())()(()()((())))()(()))(()()(())())()((())(())()())))(()((())()()()())()()(()()()(())()))(()()(())()(()())(()()()((())))()(()(()())()())())((()(())())(()()())()(()()()(())()(()))()((()))(()())((()())(()())()()))((()()(())(())())((()())()()()(()()))(()(())(())()(())()()(()()(())()))((()()())()(()())(()())()()()(()(())(())))((())(())(()))((())())((()()())()((())(())()(())(()())(()))(())((())(())()(()))()(())(()()()()))((()())()(())(()()())(()()()(()()())(())())(()()())((())(()())(())(()(()))())(()))(()()(())))(((())(())((()))()(())()())((()())(())(())())(()(()())())(())(()())((()(())())(()()(()(())))(())()(()()(()))())((())())(()(())())(()))(()((()())())(((())())(()())(()))(())((())()()())((()())(()())(()((())()))(())(()())((()()())()(()())))((())()()()()(()()())(()())(()()))(())())((()())(()()()())(()())((())()())()(())())((())(())(()())((()())()()()())(()())(())((()()())(()))(())))
((()()()()())((())(())((())(()))(())(()())())((())()()()(()))((())()((()))(()))(((()(())())()(())((()))(())(()()))(()()()()(())((())())(()))(()())((()())()((()))()(()())())(()()())()((())((())()))(()()())())(()()(()(())()((())(())))(()())()(()(())(()()())((()())(()()))(()()()))(())(()()(()())())(()))((()())(()(()))(())(())(()))((())()()(()))(()((()())()()())(()()())(())(()()(()))()(()()()())(()))) (((())()(()(())())()((())(())(())())(()())((())(()(()))((()())()(()))()(()))(()()()((()())()(()))(()()(()()))()))(((()())(()()(())())(()(())()(())(()(())))()(()()()())((())(())())()((())()(())))(()(())()(()()))(()(())(())()()(())())(()()()(()()(()))()()(()(())(())((())))(()(()()()())(())(())))(()()()(()(()))())(()(())((()()()()())(()))(()())(())(())())(((()))(())()()())(((())()(())(()()))()(()()())((()(()())()()())()()())(()()())(()())((()())()()()(())(()()())())()(()()))((())()()()()(()())))((()()())((())((())()())((()))(()()()))((())()()())((())(()())())((())())(((())(())()(()(())(()())())()(()()(())()))(())((())()(()())((())()))((()))(())(()((()))(()())())())((())()((())(())())(()()(()))(())(()))((()()(()))(()(()))(()()())()((()()()())()(()(()))(())(()))(())(())(()))((())(())))((())((())(()))((())())((()))(())()(())())((()(()())()(()))(()())()()(()())()(()(())()))((())(()(()())(()))()(()()(()))()()(()())(()()(())))(()(()()()(())(()()))((())()())((()())()()()())(()())(())(()())())((()()(()()()())()())(()()()()())(()()())()(()())(()))((()((())()())(())()(()()))(())(())((())(()())()())(()(()())(())()(()()))(()(())())(()()())((()())((()))()((()(()()))(())()())(())()(()))((())()())))
((()()(()())()())((())((())()())()(())()((())(())(())()())()())(()()(()(()))((()())))((()((()))())(()())(())(())((())(()()()))())((())())((())(()()(())())()(()()()()(()))(()()()(()(()())(()()))(()())())((())(())((())(())())(()()()())(())())(())()(()()()()()((())(()))))((()())(()()()())()(()())((()(()))()()(())()()(()(())(())))((())()(()())()(()))()((())(())()()())())(())(()()(()(()))()((()))(()))) (((())(())(())(()()(())(()())())((())((())))(()()())())((()())()(()())(()())((())())(((())()())()()()(())())()(()))(()(()())()((())(())(())((()))())()(())(()()()(())))(()(())()(((()))()()()())()(()(())()(()))()(()())())(((())()())()()()()((()())(())()()(()))(()((()))()))(()(())()(()()())(()()()(()())())(()()())((()(()))(()()())()(()()(()())())()(()))(()(())(())()))((()(()()())((())())(())(())()())((()()())((()))()())(()()()())((())()()(()()))((())()()()(())()()())(()()((())()((()))()(()))(())((())())((())(())(()))((())()()(()))(((()))()))((()(()))(()()())(()())()()(()()()()(()))())(()(())(())()(())(()))((()()())((()()()()())()(()()())(())()()(()(()())))(()()())(()(()())((())()(()()(())))()(()()(()(()))()()))(()()())(())(()(()())(())()((())))()(()())))((()())(()()())(()()())(())((()(()())()()()())(()(())())(()()()()())(()()())(()))(())((())(()()(()))()((()))((()())(())))(()(())()())(()(()())))((((()(()))((()))(()())(())(())(()))((()))(()(()))((())())(())(()(()))())(()()()()())(()(())()())(()()(()))(()(())((())(()()())(()())()())((()))(()())(()()(()(()()))(()())())(()()())()(()()(())(())))((())(()())())((()(()))(())()(()()())()((())))(()()()()())((())()(()()())()(())()(())(()())())))
((()(()())((())()())(()())()())((())(()()(()())()(()()(()())))(()()())(()(()())()(()())()()()(()))()()()()(()()(())))((())()(())((()()())()()((()))(()))(()(())((()))(()(())())()(()(())(())))(())((())(())(()(()()))())(())(((())())((()))(())(())()()()(()())))((())()(()))(()(()(())())()(()())(()))(()()()(()()()(()))())((()(())(()()))()(())((())()())(()()(())()(())())())(())((())()()()(()())(()(())))) (((()(()())(()()()()))()(())()((()))((()())()()(()())())(()()())(()))((()())()((())())(()())((()))(()()()(()())(()()(())())(()()()()(()()))(())(()))(()()())(()()()()(()(())))(()(())((())()())(())()((()()())(())())()))((()(())()((())))(())()(((()))()(()))(())(()))((()(()())()(()(()()())(()())())((())()())(()(())()((()))()(()()()))(()()()()))(()()((()))(()())()()()(()()))((())()(())())(((()))()(())())((()())(()())(()())())((())()(()()))((())()()())((()(())(()())()())(()())(()())(()(())(()))(()()())()((()())()(()())()))((()()()())()()))(()(()())((()())()()()(())((())))(()())(())((()))(()()))((())()(()()())((())()(()())(()()))(()(()))((()))((())()()()()(())))((()())(()(()(()))()())(())(())(()()()()()(()()(()))(()))(()()))((()()())(())(()()()(()()())(()()())(()(())))()(())(()())(()()(()(()))()(())(())())(()()(())())((())(())(()())()()(()())()(())))((()()())(()(())()())((())(()()(())())(())(((())(())())(()()(()))()(()())()(())())()(()())(()())(()()()())(()(()())(())(())()()))((())(()()(())(()())()())(())((())()((())()())()()()())((())(()()())())((()()))(())((()())))(()()(())()())(()(())(()()())()()())(()()()()(()))((())()(())(()()()))(((())()()()()())(())(()())()(())(()(())(())())(()))))
((()((())())((()()()(()))(())()((()))(()))(()(()(()))()(())(())(()))(()(()())())()(()())(())(()()))(((())())(()())(()()))((())((())))(((())())()(()()(())(()))(())((())(())(()()()())()())(())(()))((())()()((())())(()()()()(()))()())(((())())()(()())(()()()()())(()()()(()()())(()(())))(()())(()()())(()()()(())(()()))((()()())(()(()))()()(()())()()))(()(()())()()())((()())(()()()))(()(())()()()()())) ((()(((()))())()(()()(()))()(()()()(())))((()()()())((()())(()()))(()(()())()(()))()()((()))(())(()))(((()()))(((()()))(())(()))(()())(()()(()(()()())())(()()())()(())(()()))(())(((())())((()))()()()(())()())(())()(()))((()())(())()()((())())()(()(()()))(()()))((()(()(()))(()())()(()()())((((())()))(())()(())(()()())())(()(())())((())()()()()))(()()())(()()(()())())((()(())((()))(()()()((())))(()()())(())()((())()(())))(())(()()(()))(())((())(()())())(())(()(()())()(()(())())(())(()))(()((()())())(()))(()))(()((())())(()))((()())(())()(()()())((()())())())(((())(()))(())(())(())(()))((())()()(())(()())())(()((()))(()()()())()(())))(((())()()()())((()())())(()()()()(()))(()())(()())(((())())((()))()(()()()())((())())(()())((()())()()(())(()))(()()))((()())()(())())((()())(()(()()())()(())()(()())(()))(()(())(())())(()()(()()())(())()(()(())))(()())(())(()(())()())()(()()()))((())()(()())(())()(()()()())(())()(())))(()(()()()())((()())(())())()(()()(()()()))(())()(()))(((())(())()())((()()())()()()(())(()()()())(()()))(()()())(()()()(()(())(())()(()))(())((())())())(()(())()())(())(()(())())((()))((()(())(()))()()()))(((())((()))(()()))(()(())(()())(())(()))()(())(()(()))(())(())()))
((()(())()())((()())(()())(()()))((())()())((())((())(()))(())((()))())((())(())()((()()())()())()(()()))((()())((()))()()())((())(()()()())(())(()()()(()())()(())((())()()))((())()())(()()()))((()(())())(()(())()())((()())(()))()(())(()()(())(()())(()(())(()))(()()()((())()(()))(())()())(()))((()())((())())()(()()()))(()()(())())())((())()(()())(((())())(())(()())())()((())(()))(())(((()))()()))) (((((()())())()(())()()(()()())((()()())(()())))((()())()(()))(()()(()()())(()())()(())())(())(()()()())()((())()(())())((())(())()())(()))((())()((())(())()()())(()(())())(()))((()()((()))(()()()((())()))(()()()()())(())())((()(()()))()(()))(()()()(()()))((()((())())(())()(()))()()(())(()())(()))((()(()))()()((())(()())(()()())))(()()())(())((())(()()()())(()()(()()))(())()()((()())()((())())()())(()(()()()(()))(())(()(()()))()(())((())())())())((())()()(())))(((()()))((()(()))(()()()()()())(()(()))(()()()(()(())(()))((())())(())())(()((()))()(()())((())()))(())((()))(()()())(()()))(((())((())()())(()()())(())(()()))((()())()(()))(((()()))((()))(()()()))(()())(()()(())()(())(()))(())()(()())())((())()()(()))((()())(())()(())(((())())()()(())(()))()())(()()()(())(()()))(()(()())(())())(()(()()())()())((()())(())()()()(()()())))((())(()()())()((()())()(()))()(())(()()())((()((())))))(()((())())(()(())()(()())()())(()(())(()))(())()(()))((())(()())(()(()()())(())()(()())())(((()))())(()(()(()))()(())))((()()())(())((())()())((())(())((())())(())(()()())((())(()())()()))(()()(())()(()()()))((())()()(())()(()()))(())((()())()(())())())((()()())(())((())(()())()((())))(()())()()(()())))
((()((()))()())((())(()(())((())())(()()()()())())(()())(())(())(())(()()(()()))(()()()()()))((()())((())(()(())(()()))(())(()())(())())(()(()())(())()(()))(((())()(()))(()()())()()(())()(()))(()(())()())(())(()()()())((()))(()()))(()()(()())(())())(()()(()()())(()(()))(()(()(())()())()(()())(()))((())()()())(()))(()()(()())()((())()())(()(())()()))(()()()(())())(()(()(()))(())()())(()()(())(()))) ((()()((()()())()())((())(())(()(())())())()()((())()()))(((()())(()))(()()()())((()()()(()(())())()())()(()()())(()(()))(())(()(())(())()(()(())()()))(()(()))())((())()()()(()()(())))(()(()(()))(())()(()))(()(())()((())()(())))((())(()(())(())())(()()()())(()())(()())((()))(()(()()))())((()()()((()))(())())((())(()))((())(())())(())(()()()())((())(()())((())()())()(())(()()))(((())()())()()()(()())))((())(())()()()((()())()())))((()()(())(()))(()())(((()))())()()(())()(()()))(((())(()()()())(())(()())())(()()()(()))(()()(()())()(())()(()())())(()())(()()())(()())()(()))(((()())()()())((())())()()((())()(()))()(()))((()()()())(())(()()(())())(()()(()())()())()((())()(()))(())(()))((()()(()())())()(((()))()(())()())()(()()())(())(())(()))((()(())(()()())())(()(())()()())(()(())(()()()())(())((())())(()()(())))((()()())()(())((())()())((())(())(())()())(()(()())(())()(()))(()()(())()()()(()(())((()))))()(()))((())()()((())()(())())()((())((())()()))())(()(())()())(()()()()())((())()()((())))(()(())()()()()))((()()()()())((())(()))((())(()))((()(()(()))())()(()())(())(())(())(()()()(())())()((())(())()()))((())(()))(()(()(())())()(()()())())(())(()(())()(()))((()()())(())(()())()())))
((((())())()())((())((()))()(()())()()(()))((())(())()())((()())(())((())()())()(()()())(())(()))(()(())()()()()())(((())())()()(()()())())((())(())(())(()())(()()()())(())()(()(())()()()))((()()())()(())(())(()(())())(())(()(()())()()()()(())(()()))(()(()())(()())())(()()((()))))((()((())())(())()((())())())()((()))((()()())(())()(()()()())((()))(())(()))((())()()())(()(()())(()()()))((())()()))) ((((())()()())(()())(()())(()())((()()()())()(()())()()(()))(()()(())())(()(()))(())(()(())((())())()(()(()())()()())(()())()))((((())()(()))()()(()())(()))((()(()())())(()())(()())(()())(()()())(()()(())()()(()))((())()(()())(()())(()()()())())(())(()(())()))((())()()()()())((())()(()())(()()()(()())())(()()())()(())(()))((()(()))(()())()()())((()()())(()(())()()()(()))(()()(()))((())(()())(()())()())(())(()()())(()()(())())()(()(())()((())(()())()())(()(())()())()(())))(((())(()))(())()())(()()(()))(()()()(())()()))(((()())()(())())(())()(()()())()(()))(()()(()()(())(())()()(()(())))(()())()(()()())()((())()(())))((()()())((())())()()(()()()()())(()))(((())((()())()(())()())((())()()()())((()()())(()())(())(()()()(()())))(()())(()()))((())((())()(())())()(()())(())(()())(()(()()())(()()())(())())((()))(()()))((())((()()))()())(()(())())(())(()())(()()(()())(())()(())(())((())))(()()()(())(()(())(())(()()))(()()()()))(()(()())))((()(())()()())((()()))(()())(()())(())(()()(())(()))((())(())(())(())(())(()(())(()))(()(()))(()()))(()())((()()()()())()((())()())((()())()())(())()))(()(()()(()()))(()()())(()()()()())(())()(()))((())(())((())(()()())(())())(())(()(())()()())()()(()())))
((()(())((()))()(()())(())()(()()(())()(()())(()()()())))((((())())()(()()))(())(()())(()(()())(())()(())(()())()(()()())(()()()))((())()()())(())(())(()())(()()()))((()()())(())()()()(()))(()(())(()())(()()())()(()())())(((())(()))(()())((()))(())(()(())())(((()))()()(()())(()())())()(())((())(()()()())()(()())()))(()(())(()()(()))()(())()())(()(())(()())(()())()()())(()()(()()())()()(()))(()())) ((((())(()((()))(()())(()(())))((())())((())(()(()())(())())(())()(())()(()))((())()(()())()((())()))((())()(()))(())(()))((())()(())()())((()())(())(())()()())(((()))(()())(()()))(((())()()())((())()()(()))()()(())()((())()()))(()((()))(()())(())(()()()(())()())((())(())(()()()())(()())(()))()(()()))(()(()())()(())(()))((()())(())()()()(())(())())(()(())()()(()())))((()(())()(())())(()(())(())()(()()()()(()())())()()(()))(()(())(()()(())())(())(()(())()())(()())())(())(()())(())(()()())(())((())()()()))((()()()())(()())(()())()((())(())()()())(()()()(()()())(())))(()()(()(()()())()(()))(()(()())()())(()(()(())))(()()()))((()()((())())())()(())((())()()(()())())((()(()))()(())()()))((()())((())())(())(()()(()())()())()(()())(((())()()()())(()()())()(()())()))((())()()((())()())((())()(()())(()))(())((()())))(((())(())()(())(()())(()(()()))())(()(())((()())()()))(())(())(()())(()()(())())(()())()())((()(())()())((())(()())(())(())()((())()(()()()()()()))((()()))(()()()()))((()()()(())()())(())()((()())())((()())(()))(())(()))((())())(()()())(()()()((())))((())()()(())(()())()())(()()((()))()()())((()((()))()())(()())(()()()(()((()))()))(()())((()()()())(()()))(()(())()())(()(())))))
(((()())()(())()())((())((())(())())()())(()()()()(()(()))()())(((()))(()()()()()(()()()))(()(()())()(())((())()()(())))((()()))(()()(()()())())()(()(())()()(())(()))((())()))((()())(()(()())((())())())(())(())()(())()((())()))(()()()()()()(())())((()()(())())(()())()(((()))()()(()())()(()(())))(()()(()()))(())((())()()(())(())(()()))(()()()))(()(()(())())(())(())(()(()())()())(()))(()(())()(()))) ((()(()()()(())(())())(()())((())()(()))(()())())(()()(()()())(()(()()))()()((())()(())))((()(())()()())()(()()((())))(()())(()(()())())(())(()(()))())((()(())()())((())()()(()()())())()(()(()))()(())(()()()()))((()()()())((()))((())(()(())())()(()(())(())())(())(()(())(()())((())()()()()))(()()()()))(()(()((())))(())())((()())(()()())(())((((()))(()))()(())(()()((())))()()())()(()()(()))(()())((()())()))(()()(())(()()))((()())((()))()()())(()(())(()())(())(()())(()(())()()()))(()(())()))(()((()()()())()()((())(()))()())()((()))(())(()())((())()(()()))(((())()())(())()(())())(()(())()))(((()())((())())()(())(())())((()()(())(())()())()((()))()())(()()()())(((())()())(()())((()))()((()(()()))()(())((())(())))((()())()()())((())(()()())(()())()(()())())(()())())(()()()(()()()())((())()(())((()))(()))()(())())((()()())()()()())(()()()((()))(()())(()))((()()())()(()(())((())())(())(())())(())((()()())()()(()))(()(())())(()())((())()(())))((())()()()))(((())(())())(()()())((()())()(())(()()())()()(()))((()()()())()(())())((()())((()))((()(()))(())()(()))(()()())(()))(()()()(())(()()())(()()))(()())(()()()(()()))(()(())(())))((())(())(()())(()()(())())()(()())()(()(()())()()()(()())())))
(((())(())(()()(())())(())()()()(()))(()(()())(())())((()())(()())(()()(()))())((()()()())(())(())()(()((())(())())()())(())(()))((())(())((())))(()()()(())(()())()())((()())(()(()()())())((())()()())(())(()(())(()()())((())()()())((())()(())()))(()()())((())(()())(())((()())())())(()())())((())(()()()())((())()()())(()(()()(()))()()())(()())(()(()()()())(())()()(()()())((())()))()(())(()()))(())) ((((())(()())())((())(())())(()())(())(()(()))()(()(()())(())())())(((()()())()()(())()(())())(()()()()(()))((()(())(()()))(())(()()())()(()()())()()()(()))(()()()())((())()())((())(())(())(()()()((())))()((())(())((())()()())(()(())(())))((())(())(())())(()()()))((())((())())(()()))((())(()()))(()(()()())(()())(())(())()()))((())((())((()))(()()(()))())((())(()))(())(())()(()))((()(()))(()()(())())(((()))(()))()(((())()()())()()(())(()(()))((())()))(()(()(()))()()(())())(()(())())((())))((())((())())((())()()(())(()()(())())()(()())(()))((()(())()(()))()()()(())()()())(()(()())(())()())(()()(())()(()())())(()())(()()())(()()))(()(()(())()(())()()())()(()(())(()()()))(())()(()()(())())())((()())(()()(()))(()()(()))(()(())())(())()((())()(())(()(())())((()))))(((())()()())((())()(()))(()(())()()()())((())(()()()(()()())()(()()(()))()())(())()((())())(()(())())(()(())()()())(()))(()()((())((())()))()(()()())()((())(()(()))()())())((()()()())(()()())(())()(()()(()())(()()))(()(()())()(()()(()())())(()()())(()()))(((()))()()())((()))((()()())()))(((())(())()())()(()(())())(())(())()())(()()((())())())((())((())())((()))()))((())(())(())()()((())()(()))((())(()())(())())()((())(())())))
(((())()(()())((()))())((()()(())(())()(()))((())(())(())(())(())((())(()()())(()))())()(())(()())(())(()()())()(()(())()))((())(())(()()()(()))(()()())(()()(()()())()()()(()()))(()()(()))(((()))((()))(())())(())((())(())(()()())(()())))((())()(()()()()()())(()())()(())())((())((())())(())()())((()())(())())(((())()()())((()()))((()))((()))(()()()()()))(()()()()(()())()()(()))((()())()()()(())())) (((()()())((())()(())(()(()()())()())(()())()(()))(()()()())((()())((()(())(()))()(()()())()())((()()()())(()()())(())()()(()()()())((())()(()())(())))(()())()((()(())))(()()()()())(()())((())()(())()))((()())((()())()()())(())()((()())(())())(((()())()())(()())()())(()())((())(())(()()))())(()()(()))(()(())(())()((()()())())(()(())()()()))((()(())())()()()()(()()()))(()()))((()())((())(())()(()))(()()()())(())(()(())()()(()()))((()(()))(())(()()())(())())(()()()())(()()())(()()()()(()()())(()(())())(((())())(()())(()()))))((())()(()())(()())(())((())(())(()())())((()))())(((())()())(()(())()())(()(()))()()(()()()())(())())(()(())(()()()()())()()((())(()()))((()())(()())(())())(((())(()))()(())((()())()())()()))(((()(()()))(())()()((())()(())(())(())())(())(()()())(()())(()()))()(((()()()()()))()(())((((())))()(()()())()(())(()())()())()(()())((())()())((()())()((()))()()())())((())()())((())()()(())(()()())()(()(())()))(()()(()()())()()())((())()()()())((())()(())())((()())((()))(())()()()))((()()(())())(()())()(((())(()))(()(())())())(())()())(()()(())((())()()(())(()())((())()))(())(()()(()()))()())(((()()())()()(())())(()())((()())()()(()()))(()()()()()(()))(())(())((()))(())))
((((())()()()())()((())()()(()))(())()(()))(()()()(()()))((()((()))(()))(())(()())(())(()()())()(())((())(()())()(()())(())(())(()()()()))(()))((())()()(()(())()(()))(())((()))())((()()()())(()(()()))()(()())(())()())((())((()())()(())(()(())(())()()(())))(()())(()()()())(()(())(()(()))()())()()((())()()()()())((())((())()()())((())())()(()())()))(()(())(())())(()()()()())(((())()(()))()()(())())) (((()())()(()(())(())()())(())(()())((()())()))((())(()())(((())())(())()()((()))())(()()()(())())(()())(()()))((()())()(())((()))(())(()()()(()()))(()()())((())())())((()(()))(()()(()())(())())((())(()()((())))(())()(()(()))(((()))()))((()())()()(()())(()))(()()(()(()()()))(())(()())(()((())(()))()))((())(()(())))(()((())()()()())()(())(())(()(())(()())(()())())((())())(((()())(()))()(()()()))(()()))(()()()()())((())()()()))((())(()()()())(()())()(())()()(()(()()())()()()))((()())(()())(()()())((())()(())()(())()())()(())())(()(()(())())(())()((())()(())()(()())()(())()(()(()())(())))((())((())))(())((()(())()())()()()()((())))(()()()))((()(()())()(()()())())(()(())((()(())())()((())()())()())(()())(()())((())()()()(()(()())()))(()()())(()()(()))((())))((()())(()())((()))(())(()())())(()()()(())(()()()()))(()()(()())(())(())())(()(((())())()(()(()))(()))(())(())((())(()())()((())()())()(()))((()()())()()()()())()(()()(()()))(()))((()())()(())(()()))(()(()()(()))(()(()))(()()())((())())((())()()(()))(()()()()())((())()()(())(())))((())()()((()))()))((()(()())()(())()(()()())()(()())(()(())()))(()())(()()()()(()))((()())()()())(()()(()())(())((())(())()))(())(()()())((()()))(()())))
((()(()())(()))((()(())()())((()))(()())(()())())(()()()(()()(()))()()())(((())()())((())()(()(()))()(())()())(())(()()())(())(()()())(()(())()()())(()((()))(())()()()())(()()(()(())()(()))(()()()())(()())(()())()))((()())(())((()())(()())))((())()()()()((())())())((())()(())(()())(())(()()())((())()())(()))(()((()())(())()())(()())((())(())()((())())()())(()(())((())()))(()())(()))(()()(()())())) (((()())(()())(()()()()(()))()())(()()(())(()()(()))(())(()())()(()(()())(()())()(())))((()())(())((())(())()())(()(())(())()())()(((())())()())()())((()()()()()(()))((()())()((()())()(()()))(()(())()())(()(())(())(())(())()()(()()))(())(())()((()(()))()))((()()())()(())((())())(()()))((((()))(()))((()()(()()))()(()()(())()()()))(()()()())(()(()())(()())(())(()(())())()())(()()(()())(())()())(()()()())(()()))(()()(())()())((()()()())(()())(())(()(()))(())(()())(())())(((())(())())()()()())(((())()())(())(())())((()())(())()()()))((()()(())()(()()))(()()(())(()(())))((()())()()()())(()())()(())(()))((()()()())((()())())((())()()()(()))(()(())(()(()))(()())()())(())((())(()())()(()())(()()(())((()()))())(((())()())(())())(()))(()()(()())(()()())(()((()))()(())())(()))(()()())(()()))((((()))(()())()(()())((()()))((()())()()())())()()((())(())()(()())())(()()(()()())()(()()))(())((())())())((()((()())())(()())()(()())(()(())))(()(())()(())())((())(())()(()()()((())))(()(()())()()(()()()))(()))((())(())()(())(()())((())())(()))(()((())(())((()))(())())(())((()))(())(())(())((()())()))(()()()()())((()(())))(()()()(()))(()()()()))((())((()())())()()((()())((()))()()())(()(()))()(()()())))
((()()()()(()()))((())()()())((())(()())(()(()())()())(())((()())()((())()))()((())))(()(())()(()()()())()())((()()())()(()()()())(())()(())(())(()()()()())(()))((()())(()(()())(()(())())(()))(()())(()()()()())(()(()))(()())(())((()((()())())()())()()()(()())())((())(()())()(()()())(())(()()()())(()())()(())))((()(()())())(())()()(()()()))(()(())(()()())((()())()()(()))(())(())())(()(())()((())))) ((((())())(()((())(())(()))(())()())(()())(())(()(())(()))((()()())((())())()()()(()()(())(())))(()())(()(())))((()(())()()(()))(()())(()()()())(()())(()())()()())(()()(())()()((()())((())(())))(()())(()(())(())(()())))(()(()())(()()()(()()()())(())(()))(()())((()))(()()()))((()())((()())(()))()()()(()())()(()(())()))((()(())(())(())((())(())()))((())(()())())(((()))(())()()()(()(())((())))())((()()())())(()()()(())())((())()()(())())((())())((())(()()()(()))(())(()()((()))()()(())((())(())()()))(()())(()()()())(())(()()()(()()(())()(())))(()))((()()(())())(())()((())())()()(()(())())))((()(()(()()()))()()(())()())((())()(())(())((()()(()))(()())()((())()())(()()))(()(()())()())((())(())(())())(()()(())))(((()())(()(()))()()((()())))((()()(()))(()))(()(())(())()())(()()()()()())(())(()())((()()())(()()(()))()()(()())()()()(()))(()))(()()()()()())(()()(())(()(())))(((())())()((()())()()())(())(()(()))())((())(()()())((())())()(()()(()))())((())()()(()))((()(()))()()()))((())()()()()((())(()())(()())())(()(())(()))((()())(())()))((()(()())(())(()(())()())((())()((()())())((())()))((())()())())(())((())(())(()())())(()())(()()(()))((()()()(()))(())()()())(()(())(())(()))(())(()()())))
(((()()()()(()()())())()((())(())(())()(()())()(()(()())()()())(()()))((())(()())(())())(()())(()()())(()())()(()()(())()))((()(())())(()())()()((())()()())(()()()()))(((())()(()()())())(()()(()(()))()())(()())(()(())()(()())(())())(((()))())(())(())(()))(()()(())(()()()()())(()())()(()()(())(())(()))()(()))(()()()(()())()())(()()(()())()())(()()(()()()))(()(()())())((())(()()(()))(())()((()))())) ((()(()((())())(()())()(()()))(())(()())(()()())((())()))(()((())()(()()()()))(()())()(()((())))(()(()(()))()))((()())(()()(()))(()()()())(()()(()()))(())(()))((())(()()(()())(()()(()))()())()(()())((())())(()()))(((()()()())((())()())()()(())(())(()))((())((())()())(()()()())()((())()()()()(()()()))(()())(()(())()(()))(()()()(()()())))(()()(())(())())(()(())()(()()))((())((()()())()()(()))()(()()()(()))()(())((())((())(())(())())()())())(()()(()))(()(())()()())(()(())())((())()))((()())((()()())()())(())((())((()()())())(())(())((()))())(()()(())()()(()()()))((())()(())()())(())((())()(())(()()()))(()()(()())(())()()((()(()))()(()())()(()))(()())))(((()()())(()())()()((()())()(()))())((()())(()()())((()()())()())()()(()()()(())(()(())())))((()()())(()())()())(((()))()(()()))(()((()))()()())((()()(()()()())())((())())((()())()(()()())(((())())())()(()()()))((())()()(()())())(()()()(()))((()))(()()()())()((())()))((())(())(()()())())((()())()()(()()))(((()()((())))()((())())((())(()()))(())(()))()(())()(())()((()()())()(()())()(()))((())()())))(()()(())(()((()))(())(()))(()()()())(()()))((()(()()))(()(()())()(())()())()((()())(())(()())(())()()(()()))(())(())((())()()()())()(()())))
((()(())((()())()()())(()))(()()(())(())()(()(())()))(()(()()()))((())()((()))()((()()())()()(()))(()())(())()(()))(()(()(()))(())(())())(((()()())())(()((())(())(()))()(()()()(())(()()))())(()())(())((())(())(())(())()(())(())(()()()))(()())(()(()))(()(()()())))((())(())()()())(()((()))()()(()))(((())(()))(())(()())(())(()())((()(())())(()())((())()())()(())())(()(()())()())((()(()()))()()()()))) ((()(()(())(()()))(())(()())(())(()()()((()))()())(()())((())(()())())())(((())(()())(())()())(()(())(())()(())(()))()(())((()))(()()())()())(()(()(()))(()())(())(()())(()())((())(())))((())(())((()))(()())(()())((())())((()())())((((())())()()()())((()))(()())()()(()())())(()(())(()(())())()))((())((()()())(()()))(()(())()(())()()(()))(()())(()())((())()())(()))(((()()())()()()()()(()))(()()(())()(())(()))(()()(()())())(()(()())(()(()()())(()())(()())(())())(())((())()()())()()(()()()()))((()(()))()())(()(())()(())())(((()))(()()()(()()()())()()())(()()(()()())(()()()))()(()(()())(())()()(())(()()()))(((()))(()())(())()())()()(()()()))((())(()(())())((())()()()(()))(()(())())(()()())(())((()())()))(()()()(())))(((())(())()())((()(()()()))(()(())())((()()))(())(()))((()())()()(()()(()))())(()()()())((())(()())(()(())(())())(())(())()(())((())(())))(((())(()))()()()()(()()()))(()()(())()((())))((())(()(())(()()()())())()((())())()()(())((()())()()(())())(()))(()()))((()())((()(())(()))(()())()()(()(())(())())())(()())(()())(()())(()()(()))((())(())(())(()())())(((()))(()))(((())()(())()(()())((())()()(())))(()()()()())()()(())(()()())()))((()())(()(())())()()(())(()()()(()())())()))
((()(()((()))(())(()()()())(())(()()())()())((()())()()()(()())())(()()()(()())(())(()))(())(()(()))((())(()))()(()()()(())()))(())(()(()())((())(())))((()()()))(()()()(()())())(()()(())((()()))()()((()())()()(()()())))(()()()()(()())(()))((())(()())(()())(())(())()(()()(()())()))(((())())(((())())(())((())())(())())((()())(()())(()())(()()())()(())())()(()()()())(((()))()(()()))(()())(()()())())) ((()(()()())(())((()())())()(()))((()())((())()())((()())((())(())())(()))()(()()()()()))(((())()()(()))(()()())(()(())()(())(()))((()())((())(())()()(())())(()(())(())(()()))(()()())()(())((())()(()())())())(()(())())((())()(())(())(()(()()(()))())((())((()))()(()())())())((())(()()()((()))())()()(())(())())(()()()(())())(()(()())()(()())()))(()((())()()()((())))(()())(())(())(()())(()()())(()((())())()()())())((()(()())()(()()(())))(()()(()))(())(()())()(()(()))(()()))(((()())(())()())(((()))(()())()()()(()()())())((()(()(()))()())()(()((()())())(())()()()())()(())(()())((()(())())()(()())()(())())()(()))(()()(())()())((()())()(()))(((()())(())(())()(()())())()(()()(())(()()()(()()))(()(())()())()()((())()))(())((())()())((()()())(())()()())(()())(()(()())()(()())()(())))(()(())()()(()()())())(((()))(()()())())(()((())()())(()())()(()(())()(()())()())))(()(((())())()(())(())()())()()((()))((()))(()()(())))(((()())()()())(())((()())()(())(()()()(())())(()(())(())))(()(()))((())()()(()))(((())())()((())(())(()))()()()(()()()))((()))((())()(()))(()()))((()())((()((())())()()())(()())(()())(())()(()()()))(()())(()())((()()())(()))(()(()))(()())(()()()())((()())((()())())(())()(()))))
(((())(()(()())()()())((()())(())(()())(()()))()((())()())()(())(()())(()()))((()())()()(())(())(())()(()(())()(())()))(()()(())()(()))(()()((()())()())(()))(()())((())(()())(()()())(())(()()(()(())())(()))(()(()))(())(()))(()()()(()())())((()(())(())()(()())()())((())()(())())(()(()))((()))(())(()())()(())(((()())()(()()())(()))()(()(())()())()()(())(()()())(()())()))((())()()(()()()())(())()())) (((()()(()))((()(()))()()())(()(())())(()())(())(()()())())((())(()()()())(())()(()(()())(()()())(())())(((())((())(()()))(()(()))()())()(())(())((())()()()(())(()))()(()()))(((()())()())(()())()()())(()(())(()))(()()()(())()(()())()(())))(((())())(()()()()()(()))()()(()()())()()(()))((()()(())(()()))(()(()())(()()())()(()))(()()())((())()(()()()())(()())(()()(()())()())((())(()())(()(()))())((())(()())(())(()())()(()()(())()()()))((())))((()()())()(())(()()()(()())(()())()(()()()))()()(()())((())()(())()))((())()(()(()())()()()())(()(()))(()())(()())(()((())())())(()()()))((())(()()(()))()()()())((()())(())(())())(()()()()))((())(())(())((()))((()())()()()(()()))(()()()())(()()(())())()(()))((()(()()())(())()(()(())()()(()()))(()(())))((()(()()())()()(()))()(())(()()(())(()))()(()())()(()(()())())((())(())))((()())(()(()()()()))((())()(()()()))(())()(())(()()(())(())()(()))())((()())()()())(()(()()))(()()()(()())())((())()()(()()))(()(())())((()()())(())()((())()()()()())(())))((()(())(()()(())())())()((()()()(()))(()())()()()()())(()())(()()()(()(()())))((()))()((())(()))(()))((())((())(())()())(()()()()()(()))()(()())())(()(())(((())))(()())()((()(())())()()(())())(()()())(())))
((()()(())()(()))((())()()(()(()()))()())(()(())())((())(()()(()()((())))(()()())())(()()())(())()(()())(()())(()(()()()())())(()))(((()())((())))(())(()()(())())()(())(()())()())(((()))()((()(())))((()())()()())(()()()))((())(())(())(())()())((()())(()(()())()(())()(()())(()(())(()())(()))())(())(()()()())(((())())()(())()(()()()))((()())()(()))(())(()()())(()()((())())((())())))((()())(())()())) (((())(())((()())()())(()())()((())()))(((()())()())(()())(())(()()(()())())(()()(()))(()((())()())(())(()(())(()())(())(()))(())(()())()(()()))(((()))(()())()()(())(()()()()(()))(()))()((()(())()())()()()(()())))((()(())(())(()())((()())(())(()))(())(()()(())())(()(()())(())(())((())())))((((())))(())((()))((())(()()()())(())()())(()())(()()()()(()))(()(())(())()((())()(()))((()))()((())()))(()((()(()()))()())(())(()())(())(()()()))((())()()))((()()())()((()()())(()))(())(())()()(()())())((())()()())(()()()((()))()())((())(())()(())()())((())((())))((())(())()(()())(()(())()())()(())(()(())()))(()(()())))((()())()(()()()())(())(()()(())())(()()())(()()()))((((()()))(()))(()())(())()()((()())(()())(())(()())((())))(()()()())()(()(())(())()()))((()())()(()()()((()))(()()))((())()()()())()(()()()())())((())(())(())()((())()()()()())((())(())))(((()(()))(()())(())()()(()))(())((())()(())())(()()()())(()(())()())(((())())((())()(()()(()))()(()(())(())))(()()())(())(())()((()())(()(()))()()(()()()))((())(())(()())())(()))((())()(())((())()())()()(())(()))((()(())())(())()((()))(()()(()))((())(())((()())()())(()))(())()(()))(()()()))(((()()))()(())(()(())()()())(()()()(()())())(())()()))
(((()())((())(()())())(())(())()(()())(()))((()())()(()(())()())(())((())()()()(()))()())((()())()()()(()()))((())(()()())(())(()()))((()())(()()()())((())()(())(())()((()))(()))()(()()(())(()())()((())()()()()(()))(()()(())))(()())(()((())(()()())())()()()())(()()()()))((())(())(())())((()()())()(()(()()()())(())()()(()()()())(()))(((()))()(()))(())()(()(())()(()))())(()()(()())())(()()()(()()))) (((()()(()()))((()(())(()()()()())(())())(()()()(()))(()())(())(())(()()(()))(()()()()()(()()()()))(()()()())(()()))(()(())()(())(()()))((()())(())(()())()()()()(()(())()()()))((())()()()()(()))((()((())()))(()())((())())(())()(()())(()))((()()()(()()())(()())(()()()()()())())(()()())((())())()((()()())())((())()()()()()())((())(()()())(())(())()()())())(()()(()())(())((()))((())))(()(()(())())(()())(())()()))((()())(()(()(())())()(()))(())(())((()())((()))()()()()())()(())((()(())()())()(())()((()))()(()(())(()))(())))(((()()())(()())()(()())()())()(()()())()(())(())()(()(())))((()()(()()))(()()(())(())())((()()()()()())(())(()()()()(()()())())(()())()()((())(())(()())(())()))(()((())())()(()()))(()(())())((())()(())()(()())(())((())()(()()))(()(())()()(()))(()()()))(((())())())(((()))(()())((()))(())())(()(())()))(()(())(()(()))(()()())()()(((()))()(()())()())(()))((()()())(()())((())())((())())(()(())(()(())())()(()(()))(()()(()()()())(())())(())(()()))(()(()())())((()())(())(()))(()(()()()()())(())(())()()())(()(())()()(())((())())))(((())()(()))(()())((()())()()())(()())(())()(()))(()(())(())(()()()())((()())(())(())()())()(()))(()((())()(())(()))(()()()(()()))()(())((()))()))
((()(())(()()())()())((())(())()(()(()))((())()())()()()(()))(((())(()())(()())())(()())(())(())(()())(()()()()())()(()()))(()(())()()())((())(())((()())(())(())()(()))(()())(()()()()(()())(()))(())(()((())(()))(()())(())(())())())((())(()()))((())()())(()((()())()((()))()())((()(())()())(())(()())()(()())(()))((())()()())(()())()(()())(()()())(()(()())(()()())()(())(()())))(()(())()()(()()(())))) (((()(()))(()()()(()()()())((()))(()()())((())(())()))(())(())(()(()(())()(()))(()())(()()()(())())()()())((())(()(()())))(()(()()(()))()(()))(()()()()))((()()()())(())(()()()()((()()())))(())()(((())()())(())()()))((()())()()(())(())()(()((()))()())(()()()()))((()()()())(()(()))()(())()(()))((()(())()())(())((())())()()()(()()())(()())(()()))((()()(())()(()(())))(()(()))((()((()))()()()())(()(()())(()))(()(()))(())((()())())(()()())()((())))((())((())()())())(()()((())))((()(())()()(()))((())()(()))(()()())(())(()(())()()(())(()()))(())(()))(()(())(()))(()()(()))(()()(()()())((())(()))(()(())()())()()))(()(()()()(()))(()())(()()(()))(()((())())(()())())(())())((()(()()())(())(())())(((())())(())(())(()))((()((()))()(())()())()(())()()()((())())())((()(()())()()(())((())()))((()()(())()()())(()())()()()())(())()()((())()()(()()))(())()(()))(()(())(())()())((()(())())(()()()())(()(()())((()))(())(())()(()()()))((())()(())())(())(()()(())(()(())(()))(())(()()))(()())()(((()))(())(())((()()))()))((())(()()())(()()())(()))(((()))(()()))((())()(()(()())(()())())(())(()(())()())(())(()())))((())(()((())(()))(())()(()()())((())())()())((()))(()()()())(())()(()())()((())()(())(()()())())))
((()(()()))(()(())()()(()()(()))())((())()(()(()())(()()()()(())())(()()))(()(()))(()((()())())(()()()(()))(()((()))(())(()()()))(()))()(())(()())((())()()()))(()(())()(()(()()))(()(())(())(()()))()(()))(((())())()()()(())(()()()()))((())(()(())())())(((()))()(()(())())((()))()(()()(()())())())((())(())(()()()(()()()()())()(()()()))((()))(()())(()()()(())()())(())((()())(())()()))(()(()())(())())) (((()((())()))((()(()))(()())(()())()()()(())(()()()))()(()())(()()(())()()(()()))(()(()))(())(()(())(())))(()(()(())())()()(()()())(()())(())(()))(((())()()(())()(())(()()))((()())(()())())(()(()())(()))(()(())()())((())()((()())(()())()())(())(()))((())(()))((())()()(()())(()())(()(())()())(())((())))((()())())((()()(())(())())((()))((())(()))(()()(())(()()(()))(()())(())(()()()))()(()()())((())()(())(()()())())))(((())())(()())(())(()()(())())(()())()(())(()))(()(()()(()()))()(()())(()((()))()(()))(()()())(())())((()()()(()())())((())()(()()(()())))(((())())(())()()())((()(())(()()())(())(()()))(()())()(((())()()())(()((())))()()(())(()()))(()()()(()))()((())(())(()()()))((())))(((())()(())(()()))(())()(()(()()))(()(()(()))())(()()((())())(())()(())(()))((()()())(()())(()()))()(()(())))(()()()()(()()()())(()()))(((())())((())()())((())(()()))((()()()())()())()(())())((())()(()()())(()()())()()(()())(()()(())(())())())(()(())()()))((())(())((()())(())()()(()(()))(())()(()))(()()()())(()()(()))((())()(()()())()(()())(())(())(()())(()))(()()())(()())((())(()())()()()))(((())()())(()()()()())(()(())())()()()(())(()()))(()((())()((()())())(())())((())())(()()())()(()())((())()())()))
((((())()()(()())(()))(()(()))(()()())(())(())(()))(()()(())()())(()()(())(())(())())((()()())(()(())((())())())(()()(()))(())(()()(())((()))(()))((()())(())(((())))((()())()))(()()())((())(()()()())()(())((())(()))(()))(()()))(()(()()())(()())())((())()()())(()(()()()()())()(()())(())((()))(()()))(((()()())()()()())((())(())()()()())(()()()()())(()()())(()()())()(()())()(()))((())()(()())(())())) ((((()(()))()((())))(()()(())(()))((())(()(())(())(()))(()()(()())()()(()())(()()))(()(()))(()(()())((())()()(())()())()(()))(()()())(()())((())()()(()))(()))((()()())()())(()(()())(())(())()())(()(())()()(()()))((()(())()())()()(())())(((()())((())())(()))(())()()()()()((())())((())()))(()(()()())(()(()()()())(()())())((())((())())(())(()())()(())())(()())()(())(()()()())(())))((())((())())((())()()(()())()(()()()(()())(()())))(()())(()()())(((()())()())(()()(()))(())()()(())(((())())()(()))())(()(()())()(()))((()(()))()(())()(()()))((()())()(()())))((())(())(()()())(()()()(()))(())(((()()())()(()))(()())()(())())(()(()(())))(()(())((())()()()())()(())(())()))(((()(()))(()()))((())(()())())(())()(())()((())()))(((()(()))(())()(())()())((()())()((()()))(()())(()))(()()())((())()()()(()(()))()(()))(()((()))((())(())())(()())((()))(()())(()()())(()(())(())()))(()()(())()())((((())(())())()()()(()())(()())())(()())()(())((()))(()())(()()()()()()))(()(()())()()(()))(()()(())))((())()()((())()(()())())()(()()(()))(()()()(()())()))((())(()())()(()()())(()()()(())()())(()())()(()))(()(()()()()(()))(())()(()(()(()))()(()()))()()(()()))(()()(()())(()()()(())((())(())))((())())(()()())(())))
(((()((())))()(())()(()(())()))(()(()()())(())()(())())(()())(()()(())()((())())((()()))(()()()(()(()))))((())(()())())((()())(()())(()(())(())()()(())())((())())(()()()())(())(()))((())(()()()())(()()(())())(()(()))((())()(())()())(((())())(())((())()()()())(())()())((())())(()()())(()()()))((()())()(())())(((()())(()())(()()(()))(())(()))(()()()())()(()(())(()))(()()()(()())()(()()()))()(())())) (((()(())()(()))((()))(())(()()())()(()(())()()(()))(())(()()))(((())()(())(()()()))(()()(()())())(())()()(())(()))(()(()())(())(()()())(())(()(()())(()())(())(()))()(()())(()()))((()())(()())((()(())()())()(())(()))(()((())(())(()()())()((()))(()()))((())(()()))()(()()())(()(())(()))(()())(()()(())))(()(())()())(((()))(()(())(()))(()(()())()())((()())())()(())((())(()())((())(()))()()()()))(()()())(()((())())(())((())()))(()(())()))(((())(())(()())()(()(())()())(()(())(())()())(())(()))((()())()()(())())((()()(())())(())()(()(()()())()()())(()()()(())())(()())(()((())()()())(()(()(()))(()))((())())())((())()(()()())((()))(())()))((()()()()(())())((()())(())(())()())()(()()(()))(())((()())()())(())(()))((())()(())(())()(()()))(()(())())(()(())(())((())())()(()()))(()(())(()))(()(())(()(()))(())((())())((()))))((()()((()))()(()))()((()())()(())(()))(()((()()))()(())(()(())(()))(()(()))())(()()(())(()))((()(()))(()())((())()()()(()))(())(())((()()()())()()()(()))()(()))(())(()())(()(())))((()(())(()))(()(()))(()()(()())())()()(()())(())())(((()()()))()(()(())(())(()()))(())((()(())()())(())(())(()()())())()()((())()())(()()()((()()))(()())()))(()(()())((()))(())((()))(()(())(())())))
(((())(())()())((())()())((()()())(()()()()())()(()()()())(()())())((((()))()(())(()(())(())((())())())()())()()(()(()())()(())(())())()(()(())()()())(()()(()))((())))((()()())()()(()()())((())()(()))(()())()())((())()()()())((())(()(()))(()(()))(((()()))())((()()())(())()((()())()()()())()()())()((())())((()())()(()))(()(()()()(()()))(()()())(())(()())()))((()())()()()()())((())(())()()(())()())) ((()((()())()()())(()())(()()()())()())((()())(()())()(()()(())())()((()))((())(())((()))))(((())()(())()()(())(()()()))((())()())(()())()(())()((())(()()())((())))(()(()())(()(())())(())()(()))())((()()())(()()(()(()))()())((())(()))(()()())(())()(())())(()(())(())((())(()(()))(()))(((()))(())(()()))(())(()))(((()(()))(()()())()(()()())())((())())(()()()()())(()(())())(()(()())())(()()((()))(())(()())(()(())()))(()()(())())((()(())()()(()()))(()())()(()()())(()())(())((()(())()())()(())()(())))((()(()())(()(())()())(())()(())(())())()(()())()(()(()))((((())())()(())))(()()())((())()())()))((()())(()())((()(())()())(())()())((()))(())(()(()))(()())(()))((()(())()(())((()()))())((()((())))()(())()(())(()()(())()))((())(()(()))()(()(())())((())(()()(())())()(())())(()()())((()())(()()())(()()))(()()(())(())((()))()((()))()))(()(()()())())(()(()()())()((())()()()))((()(())(())()()(()))((()())(())()(()())(()()())(()()))(())((()))(()())(()())(())()(()(()())()()()))(()()()(())()(()))((()())(())(()())())(()(())(())()))(((())(())()()()()())(()())(()()()(()()))((())()(()))((()()()())((()))()()(()))((())(())()(()()(()()(()))(()()()))()(()(()))((())()())(()))((())(()))(()()(())((())))(()())))
((()()(())())(()(())((()))()()()((())()()(())(())))(()((())()())(())())(()((()))()())((()((()))(())())(())(())((())()(())()()(()))()(())((())(())()))(((())())((()())(()())(()()()()())(()())()()(())())(()()(()))((())()(())(()())(()())(()))(()()()())(())(()()()(())()((()))(()()))(()())(()))((())()(())())((()(()))(())()())((()())((())()())(())((())(()))(()(())()(()()))(())(()()()(()())()(()()()())))) (((())()(())((())(())())(()()(())()((())())()())(()())(()()()()()(())(()))(()()(()))(()(())(()())))((()())((()))((())(()())(()()())(()()(())(())())()()(((()))()()(()))(()(()(()())()()())((()))(())(())()()))(()()()(())(()()))(()()(())(())())(()(())(()())()()())(((()()))()()(())((()())()()())((())()())()(()))(()()())((()())()(()()()()())(())(()())()))(((())(())(()))(())()()(()(()(()))()()())(())())(((())()())(()(())(()()((())())(()())())()(()(()())())(()(()))(()(())(())))(()()()(())(()))(()(()))(()()(()()))((())())(()())((()()())()()(())((())())(()()())(()))(()))((()()())((())())((()()()())()()(()())()(()(()))())(())(())((()))(())(()()()()))((()()()())()()(())()((())()()(())(()()))(()))((())()(()()((()))()())(((()))()()())((()))(())(()))(((()())(()())()((()(()()))(())((())())()()())(()())((())()(()()))((())()()(()()())((())()()))(()(())()))((())()(())((()())()))(()(()))((())(()))(((())((()))())(()())()()(((()))()())(()()(())(())()(()())(()(()())(()))())(()())(()((()))(())(()()(()))((())()(())()())))(()((())()(()))()((()())(()))()(())(()))((()())(())(()()()))(()()(()))(((()))(()())()()(()())((())(()))(()()(()))(())))(((()()())()(())()(()))()()()((()())(())()()(()))(()())(()(())())()))
(((()()(()()))(())()(())(())(()()())((())())((()())()(()(())())(()()()(()())()(()()))()(()))(()(()()()())()()((())())()))(()()())((())()(())()()())((()()()()((())()())())(())((())())(()(())(())(()())()()())(())(((()))()()(())())(()()()())())((()()()())()(())(()()()(()))()()()(()()())())(()((())(()()))(()())(())()(()())(()()(()))(()()((())())()))(()(()()()())(()()))((())()()()())((()()())(())()())) ((((())())(()()()())()((())()())((()()()))(()(())()((()())())()())(()()(()()()()())(()())()(()()))((()())()((()()))(()()())(()(()(()))())()())(()()(()()(())()(())(()))(())(())(())((())()())))(()(()()(()))()()(((()))()()()())(((())()())()(()())()))(((())(())()(())()(()())()(()()()))((()())(())()()())(()(()())()()(()()())(()()(())(()))()(()(()())()()))(()()(()))((())()((()())()()(()))()(()))((())(()())())((()()())(()(()()()))((()))(()()(()())(()())((()))())(())(()())(())((())()())(()()()))(()()())((()()())(()())()))((()(()))(()())(())(())()()(()(()))())(((()()())()())()((())()(())())(()()))((())(()(())()(())(()())(()()()()))()(((()()))(()())()(()()()))(()())(())((())()()()(()))(()()()()(()))(()(())))((()(())(()()())(())()())(()((())()()))(()()(())()(()()()))(()(())(()())(())((())()()()))((())()()((()()()())(()())(())()()(()()))(((()())(()()))(())()()(()))(()()(()())()())(()()())(()))(((()))()()(())())(()(())())(((())(()())()())(())()()((()))((())))((()(()()(()()()))()()(()()())()(()))((())()())(())((())())(())((())(()()())(())()(()())(()()))(()(())())(()(()()))((())(())())))(((((())))()())()()(()()(())()()((())))(((()))()))((()()())()()(()())((())(())(())())()((()()())()()()(())())))
((()((())()()(()))(()()(()())(()))(()()())(()()())(()()))(((())()())(())(())(())())((()())(()())())((()(()())()(())(()))(()()())()(()())(()(()()())()(())()(()()))()(())()(()()))(()()(())(()(()))())((())(()()())()(()())()())((())(())(())(()))((())((())())(()())())((())(())(()(()(())))(()(()())(()()())())((())(()())()(()()(()())(()))(())()(())()((())()))((()())()(()())()(()))()(()()()())(()()()()))) ((((())()())(())((())()()(()()()))()(())()(()()))(((()())(()()()()())((()())()(()()()(()()))((())(()))()()(()()))(((())))(())(()()()())((()(()))()())(()())(()()(())()(()((())))))((()()()))(()((()))()(()()))(()(()(()())()()(())())(()(()(()))())())((()()()()())(()()()())(()(()))(()())()()(()()))((()())()(())())((()(()))()(())()(()))((()())(())()())((()(())()()(()))()(()(())()(())())()(())(()())(()())(()()()()()())))(()(()(()))((())(()())())(()(()())()()(()))()((())())()()())((())(())()((())())(())(()(())()())()(()))((()(()())())(()((()))()()(()()()(())(()))((()))(()))()(()((()())())()(())(()()()()(())(()))())(())(())(()))(((())()()())(()()(())()()(()()))(())(((())())(()(()))()()(()())())(()(())(()())(())()(()(())(())()))((())()())((())((())()))((())()()())(()(()()())(()())(()()()(())()())()(())()))(()((())(())(()()())(()))()()(()()((())())()(()))(()()()))((()(()(()())())(()())()((())()()())())(()()(())(()()))((()(())()(()()()())()(())(()))(()())(()())((())()()(())()(()())()())((())())(()()()(()()))(()))(()(())())(()()(())((()))())((()())(()()())(())()()()(()()())((())(()())(())()))(()(())())(()()(()()(()))(())()())((())()()))(((()()))()(())(()())(()()()()())((())()()())(())()(()())))
(((()()())()(())((())()))((()())(()())(())()()())(()()(()())(()))(()()(()(()()))(())(()))(((()()())()(())(()()())(()))(((()()))(())(())(())())()(())()(())(()()()())(()))(()(()(()())(()())())(()(())()(())(()))()(())())(()(()())(()())((())()())()()(())((())(())))(()(())()(())(()()))((()()())((())())(())()(()()()())((())()()(())(())(())(()()()(()())()()))(((()))(())()(()()())(()())()())(()(())(())))) (((())(())()(())(()()(()())(()()()))((()())())(()(())())(()()))(((())(()())((())(())(())(()())())()(()())(()()(()())(()())())(()())(()()()((())()())()))(()()()(())()()())((())((())())(())((())()(())()(())()())()(())(()))((())()((())))((())()()((())()()))((())()(()()))(()()()()((())))(()()()())(()(()()())()()()(())))((())(()(()())(()())())(())()()(()(()))(((()))(()()())(())))(((())()(()())()()(()()))(()()()(()()()))()(()((()))())((()()())()((()())(())()()())()(())(()()()))(()())(()())(((())()())(()()(())(()))((()))()((())())()())(()))(()(()()(())(())(()()))(())()()(())(())(()(())()()(())))((()(()(())())(())()(((()()))(()())()()(()))(()())(()((()))(()))(()()()))(()(())(())()()())(()(())()())(()()(()))((()(())()())()(()())((()())()(()())()(())(())()(()))(()())(()())((())()(())()(())(())())((()))(()()()(()(()()))(()())()()((())())))((()())()((()())()(())))(()())((())(())()(()))((()(()))(()((())))()()((())()(()))()(())((())(()())()())))((())((()())(())()()()(()()))()(())()(()())(()(()))(())((())()))(((()()()())()()(()()())(()(())()))((()(())(()))()(()()(()(())))()()())()(()())(()())((()())()((()))((())()())())(()())((()()())))((()(()))(())(())(()()()()(()))(())((())()(())(())())((()))))
((()()(())((()()))()())((())(()()))((()()(())())(()()(())(())())(()()()())((()())(()(()))((())(())(()())))(()())()(()())(()))((()())()(())()(())()((())())())((())()()()(())()())((()())(()()())()()(()()())())((())(())((())()())())((()()())(()(())((()))()(()())((())()())(()()))((()())(()()()()())()(())(()())(())(()))()(()(())(()))(()()()()())(())(())((())()))((())(()()()(()))(())(())(()(())())(()))) (((()()()())()()(()()(()())())()(())(()(()())()()()())(()()))((())(()((()())(()())())(()()()())())()(()(())(()())())()(()())(()(())((()))()(())()))(()(())()((())()((())())(())())()()((()())()(((()))))(()()()))((((()))(())(()())()()())(()(())()()()(()(()()))(()()()))((()()(()))()((()))())((())()(()())()(()()()())(()()())())(()(())()(()(())))((())((())(()())()(()())()(()))((())())(()(()))((())()(()())(())(())())(())(()()))((())(()()()()(()()))()(()()(()()())(()))()(())())((()())(()()())()((())((()()))())((()))(()())(()((())()())((())(()))(()())()())(()()()(()()())())(()))((())(()(()))()()))(((())())(()())(()()()())()(()()()((()))())()(()()))(((())()(()))((())(()())(()(())()())((()())()(()))()((())()()()(()()))()())((()(()))()(())(())(()())()((())))(()()()())(()()())(()()())(()()(()()())(()())())(())(()(())()()))((()())()((()())()())(())(()()()()())(()())(())(()(())))((((())())()(()())()(()())(()())(()))(()()(())()(()()))((())(()())(()()(()())())(()())(())()(()(())()(()))(()))((())()()(()))(()()()()())(()()()())(()(())(()))(()()()())(()((())())(()(())(()()()())(()(()())))(()()((())))()(())(()())(()(()()())()(()())(()))))((()(())()()())(()(()(()))())()(()())((()())())(())()(()((())))))
(((())()()(())())(((())(())(()()))(())(()())()(()()())(()((()))()()()))((())(())()(()())()())((()())(()())(())())(((())(()()())(())(())(())((()())()))()(()()(()())()())()(()(()))(()())(()()()()()))((())()()()())((()()()())(())(()(())(())((()())(())(())()())(()())())(())(()(())())(()())(()())(()()()()((()))(()())(())(())())((())()(())(())(())))(()(())(()())()(()))(()()(()()())(()()())((())()()()))) ((()((())())(()())(()(())()())((())(())()()())(()))(((()())()(()()())((())(())(()())(())()(()()))()(())(()()(()(()))(())()))((())(())())((()()())((())(()))()()((())()()()))(()()()(()())(()(())(())(()))(()(())(())(())())(()))(()())(()()())(()(()()())()()()()(()(()))(()))(()(())(())(()()))((())(())()(()()(())(()())()()(()()))(((())()())(()()())(()())(())()()(()))(()(())())()((())()()()(()))((())()(()()())()())))((((()))()()(())())()(()(())()())(()())()()(())((()))(()))((()(()))(()()())(()())((())(())(()(())())())())(((())()()(()))((())()())((()))((())(()()())()()(()))((())(())()(()())(()(())()()())((())()()(()()())))((())()(()()()()())(()())(())()()(((()))()))((()())()()())((())())((())))(()(()())((())()(())((()))(())(())())()((())()(()))(()(())(())())((())()))(()((())())(((())()())(()())(()()))()(()()(()()()))(()))((()())(())()(((())()())()()()(()()())()(()))(())()(()()()())((()(()))()(())(())()((())()(())()))())(((())()()(())(())(()))(()(()()))((()(()())()()())()(()(())()(())(()))((()())(()())((()))(()(())())())()((()))(())(()()(())()))(()()(()()(())()(()()()()))(()()(()()))()(())(()())((()))((())))((())(()()()())((())())()()(()())(()(())))((())())((())(())())(())(()(())(())(()))))
(((((()))((()))(()())()())(())()()(())(())(())(()()(()(())())())(()(())))((())()()(()())()())(()()(()())()(()))(((()))()()()(()()))(((())()()(()()()())()(())(()))(()(())()(())(())())((())()()(()(())))(())((())())(()()(()())(()))((()))(()(())()(())))((())(()())()()(()())((()()())()()(()()()())())(()()()()(()(()()())))(()()))((()())()())((()()())(())(())()(())()((())()())((())()(())))(()()()(()()))) (((())()(((())())()(())())()(())(()()()(())())()())(((())(())((()))())(()()()(()())((())))(((())(()()(()))(()()))()()()((()())(())()())()())((())(())()((())(())(()())()((())))(()())((())()(()())((()())()())(()()()())())(())(())(()(())(()())()()()()))((())()(()()(()()))()()())(()(()())()((())()()(())())()()(()())())(()(()(())()(())()(()()()())(()))(()(()()()))(())(())()((())(())())((())(())()()(()(())((()))()()())((())())()))(()(())()(())(()))(()()((())()())))((()(()())()())()(()())(()())(()((())())()((()))()(()))()(()())(())(()))(((()))(())()()(()()()()(()))((())(())(()()()))(())(()))(((())()())(((()())()())((()))(()())(()(())))(()(())(()())()(()))(()((()()())()((())())(()))(()())()(()()()())((()())()(()())(())())(()()()()()))(()())((()))(()(()())(())(((()))(()))((())(())())(()()()))(()()(()())()())(()((()))()()))((())((())()()()()()(()()))(()()())(()()()())(()()(()())()())(()()(()))(()(())(()(()))(())()()))((())(())(()(())(()()))(()()()())((())())()())((()())()(()(()())()(()())())(()()())(())(()())(()())(()))(((())())(((())())(())(())()(()()(()()())(())()()))(()()()()((()))()(()()))(()()()()())(()()()())(())(()()(())())((())(())()())(()(()()()()((()))(()))()(()()()()()())((())))))
((()((())()(()())())()()()()(()())(()(())()()(()()))(()))((()())(()()())((()))())(()()(())(())(()))(((())()())((()())()())(()()(()()))(()())(()()())((())()()(())()())(())((())()()()()()(()()())(()(())))(()(())(()())(((())())()())(())))((((())())(())(())(()(())))(()()(())()())(())()(())(()(())()(((()())))()())((()()))())(()(()())())(((())()(())()()())()(())(())())(()()(())()())(((()))()(())(())())) (((()()())(()()(()))((())(())(()(()()))(()))(()())(())(())())((()(()))(())()(())(()()()())((()))((())()(())(())(()()))(())())((()()(())())()()(())(()()())(())(()(())))((()())(((())()())(()()())()(()()())()(()))(()()())(()()()()(()))(()(()())(()())(()())()()())(()()(()()())(())(())())(((()(()())(()))(()())()())(())(()()())(())((()))()(()(())())(()()(())(())(()(())()()())())(()()()()()))((())(())(()())()(()())(()()()(())(()()))(()()()()))(()()()))(()((())()()()()())(()())((())(()())()()()())(())((()))((())()))((()()())((())(())()()())(()(())()())(()(()))(())(()))(()()()(()())((()()()())()(())()(()(())())()())((()())(()()())())((())(()())(()())()())(()()))(((())(()())()()(())(()(()())()())())((())(())(())())(()(()))(()())(())(((()))(())()()((()())(()))())(()(())())((()())()()((())))((()()()()())()((())()((()))())(())((()))))(((())()())((())(())()())(()(()())(()))((()()(()))((()(()))(()())()()())(()()((())())()(()))(()())()(()()())(()())((())()(())(())(())()()(()()()(())(())())))(()(()())()()())((())(())()())((()())(()())()()((())(()()())((()))()())(()()()(())())(()()()()()))((())(()())()()((())())()())(()()()(())(()(())(()())())(())((())()()()(()(()))()())(())(()((()))()()()()(())))))
(((()(())(())()())((())(())()())(())()(()())()(())()())((((())))()()()(()))(((()))()(())(()))((()())(())(()())((())()))((()()())()())((()(()))()()()((())())(()()()())(()()()()(())()(()()((()))()))(()()(()())(()())))(((()))()()()())((())((())())((()))(())(()()()()))(((()(())()())(()()())((()))(()())(())(()())()())(()()()(())(())((()))((())()(())()()))(())()(()())(()(()())(())())(())((()())()())())) ((()(())(())((())()(())())(())((()()())()())()(()()(()())()()))((())(())(()())(()()()()(()()))(((())())(())(()()))(()()()))((()((()))()()()()(()))(()()()(())(()())(()())(()(()()())(()())()))(()(())()())(()()()())((())()())((())(()())(())(((())()())()()()())(()()()())()((())())()(()()))(()((()))((()())(())()(())(()()))((())()()())()(()(()())(())(()()))()())(()()()()()())(()()(())))((()())(()(())()(()))(()(())()())(()((()))()(()())())(()(())(()))((())(())(()())()(()()())((())()()())())((())()(()()())(())(()(())()(()))())((()())()(()))(()))(()()()(())(()()())(()())(())(()())((())()()()))(()((())())(()(()))(()(()))((()())()()()(())()())((())(()))(()()(()))((())(())()(())))(((())()(())())((())()())()()(()(()))(()(())()()())()()(()))((()(())(())()(()(())()()())(()())(((()))(()())))((()()(()())())()((())()))(()()()())(()(()()(())(())((())()())())(()()()())(()()()())()()((()()()())(())()(()()))(())(()()))(((())()(())())()(()()(())())()(())()()(()))(()()()()((())()))(((()))(())((())(())((()))(()())(())(())(())(()))((())())((())()(()())())((()())()())(()((())()(()))()(())(()(())(())()())())(()()(()))(()))(()()()()(()()))((())()()(()())()()))(()(())(()()())((()())()()(())())((())()(())(()))))
((()()()((())))(()()(()(())()())()()(()(()))()(()))(()()()()())(()(()(())()())(()())((())()())(()(()())(()()(())())(()()(()())()(()))())(()()()())(()(())())(((()))()((()()))()(()())(())())((())()()))(()()(())(()()())((()())))(((())())(()(())(()))(()())(())(()()()())())(((())())()()((()())()()))(((()))()(())(())((())(()())(())(()()(()))())(()(()())()()(()()))(()(()))()(()()))((()()())(())()(()()))) ((((()())()())(())((()()())()(()()()(()))(()()())()()()())((()())(()))(())(()())((())()(())(()(())()()())((()))((()())())(()(()))((()())()(())(()()(()))(()(()))()))(()(()(())()())(()()()())()(()()()(())())(()(())(()))())(()(())()(())))(((())())(()((())()())(())()())(())(()(()))(()())())(((()()())((()(()))(()())(()())()(())(()))(()((())()())()(())(()())((())(())()))((())())((()()))(())(()()(()()(()))()(()))())(()()(())()()()(()())())(()()()(()()()())(()(()()())(())())(())())((())()((()))(()())(()()()())())((()(()))(()())()((())()(()()())())()()(()()))((()())(())(()(())(()()))(()())(()())(())(()())()((())(()())()(()(())()())()))(()(())()(())(())(()()())(()))((())()()(()))((())()()(()())()))((()()(()()))(((())()())()((()))())(())(())(()(())()()(()())())(())(()()))((()())(())((()())()())()(()(())(())()())(())((()())))((()())((())((())()())((()()())(())())()(())(())())(()(()()))((()())()()())(()(())(()()()())()(()())(()()())(())(()()))(()()()()())(()(()()())()(())())(()(()))(()()()))(((()())()())(()())(()())(())(()(()()(()))(()())())(())()(()((())(()))(())())(()()))(((())()(()))((()())()(())())(()(()))(()())(())(()(()))(()()))(((()))()(()(())()()()(()))()(()())(()(()())(()))(())(()())))
((()()()())(((()))(()()()()()())(())(()()((())(()())()())()(()))(())(()())(()())((()())(())()()(()))(()()()))((())())((()()(()())()())()()((())()()(())(()()))(())()((())()(())())())(()((()())(()))(()()())()())(()(()())(()())((()))((()())()()(()))(()())((())(())(()())(()(())(())))(()(())()((()()())(()))(()())()(()())(())(()()))(()(()())))(()()((())((())))(()))((())()(())()()())((()(())(()))()()())) (((()()())(((()))()(()())()(())(()))(()((())()())(())()())(())(()())(()())((())()()())(((()(()))())(())()((()())(()(()))(())))(()()))((()())(())(()())(())()(((()))()())()())((()()()(()))(()(()())()((()())())())((()())()(()())()(()()(())((()))())(()())(())())(()(()(())(())(())(()()())(()(())()))((())((())())()())(())(()())(()()()())((())()(())(())()()())(()()())())(()(())()()()())((()())(()())()(()(()))(()()())(())(()))(()(()())()()(()))(()(())()())((())()(())))(()(())(()())(()())((()())()(()))()(()())((())()(()())(())())())((()())(()()()(()))((())()()()(())()())((())()()()())((()(())()(()))()()(()())()(()())(()(())()))(()(()))(()()())((()())()()(())((())())(())()))(()()(()())(()())(())(()(())()(()(()))())())(()(())(()(())((())))()(())()(()()())(()()(())))((()()((()))())((()())()())((()())(())(()()()(()()()())(()()()))(()()((()))(())(()()(())()))(()())(())()((())(()))(()(())))((()())()()(()()())(()(()())()()(()(()))()(()())())((()())(()())()()(()()()(()))()())(()()())((())(())(())())())(((())())(()())((()()))(())())((())(()())()((()))((()())))(()(())(()))((())(())(()(())(())())()(())(()(()())(())())((())(())))(()(()(()))()()()))(()(())()(()())((()())()()()(()()))((())(())())(()())))
(((())()(())())(()()()(())())(()()((()))(()()())(())(()()()((())))())((()(())((()))(()())()())((())(()()())()())(()())((())()())((())())(()(()(()))((()))((())()()(()())()((())))()())(())(())(((())())()))((())(()())(()))(()(())((())()()()(()()))(()(())((()))()())()()((())(()())))(()()()(()()())()())(()()((())()))(()(()())(((()))()()())(()())(()()()(())(()(()()))())(())(()(())()(()())(()(()))(())))) (((()(()))((())(())()((()))())(()())()(()()(()()))(()())((())()(()())((())()()())(())(()()()(()()()))()())(()(()())()()()(())(()()()))((())()()()(()())()))(((()())((())(())()(()))(()()(()))((()))(()()(()))())((()())())(())((())()())(()()()(()(())()()())()((()())())((())))(())(()()(())()(()()())(()))((()()())(())(()())((()()()())()(())()()(()()(()()))()())()()(()((())())()(())()()))(()(())()(())))((())()(())((())(()()))()(()())(())(()))((())(()(()()()())()()())(()(()))(()(()()))()(()())()(()))((()(())()())(())((())(()))(()((())(())())(()()())()()(()))()()(()()()()(()()))((()()()())()((())())()()(()))(()))(()()()(()()(()))(()()())()(()())(()()()())(()))((()()((()))(()()()())(()(()())())())((())(())(())(()())())((())()()())((()(()())(())())(()()(())(())()())(())(()())()())((()()()())((())()()()()(()()))()(()(())()()())(()()(()))(()())(()()(()())(()()(()())()())(())(()())(()(()))())(()())(()()()()))(()()(()())()((())()))(()(())(())()())((())()(()())(()))(((())(()())()())(()((()))(()(())())())(((()))()(())(())((()())()())())(()())((())())((())()(()))((())())))((()(()()(()))()())(()()()((()))()(()))(()(())(()()))()()())(()(()()()())()((())())()(()(())(())())()((()()())(()())(())()(()))))
((()()()(()())((()())()))(()((())(()()()())())()()()(()()(())()))((()())(()()()())())(()(())()()(())(()())()(()))((()()()()(()))(())(()()()(())(())()(()))(())()(()(()))(()(()())(()()())()(()()()(())())())((())()))(()(()(()))()()(()))(((())())(()(())((()))(()())((())())(()())(()()())())(()()())((()())(()())()((())))(()(())()(()))(()(()(()))(()()()()))(()()))(()()()(()())(()))(()(()(())(()))()(()))) (((())(())()()()()(()(())()()()(()))(()()(())))((()()())(()()()()())(())(()(()))()(()()(())(()()()())()()())(()))(((())((()(())())(())()((())())()())()(())(()()()()()(()()(())))(())(())()((())()))(()(())()(()(()())())()(()(()(()))()(()))())(()(()())(()())((()())))(()(()()())((()())(())(())()()()((())()()(())()))((()(()())()()())()(())(())()(()())(())())(()())(()())((())(()())()())()(()()))((())()()(())())(()(())(()(())(()()))())((())()(())(()()()()))(()()(()())()(()))(()()(()())(()()()(()))()()(()())))((()(()())()((())((())()()())(()())())()(()()())()()(()))((())()(()())()()())(()(())()())(()()(())())(((()())())(()())(()())(())(()()()))(()((())()()()(())(()()())()(()))(()()())(()())(()())((())()(()))()()((()())(()())()))(((())())()(()())(()(())))((())()(())))((()(())())(())(())(((()))(())()())(())((())(())))((()()()())(()()(()(()()))()(()()))()(()()())(())(((()))(())((())())(()()(())(())()(()()(())))()()()())((())()()(()))(()())(()(())()()(()()())(()()()(()())())))(((())(()()()())(()()()))(())(()())((()())()()())(()())((()))()(()(())((())(())()))(()(())(()(())())(())(()()())))((())()(()()())((())()()(()(())(()))(()(())))(()()())()())((())(()())(())(()()(()))((()()))()()(()(())())))
(((((()))()())()())((()()())((()()))()()(()(()())(()())((()))())(())()(()(())())(()()()()))((()()()((())())(()())(()()()))(())(())(()())(()())(()()())((()())(())()())(()((())(()))(())(())(((())())(()))())(()))(()()(()()(()))(()))(()(())(())(()))((())()((()())())()()()(((()()))()))(()(())((())())(())())((())(()(())()()())(((())())()(()())(())(())()(()()()))()(()(())())(()())()(())(()()()))(()(()))) (((()())(()())((())()(())())((())()(()())()(()())())(()()())((()))()(((())()()(()))()(())()()(()(())()()))((())()()()(())))((())(())()((())()())((())()()()())((())(()())()()()())(()())())((()()())(()(())(()())(()()))((()()())(())()()((()))())(((()))())((()(())())(())(())()(()(()()))()((())()(())()))(()()(()()())((()))()(())(()()(()))())(()(())())((())(()()())(()()()(()())()(()()()())())(())(())(()(()))(()()(())(()))()((())(()((())()()())()())()()(()()())))((()(())(()))((())(()(())(())())()(()))(()())((())()()())()(()())(()(()()())(())()(()())())(()())(()())))(((())())(())(())((())())(()())(()()(()())()()(()()))(()()(()))(()(())(())(()())(())()())(()))((((()())()(())(())()()())((()()()())()())(()(()))((())()())(())(())(()())(()()))(((())()())(())(())()(())())(()(()()())())((())()(()()()(()))(()()(())())()(()()()))(()()())((())()()())(()()()(()))((())(()(())()((()))())(()())((()))(()(()))()(()(())((()))(())()((())(())()()()))(()())(()))(()(())()))(((())(()())()(())()())(()())((()))(()())((()))()()(()(()()))())(()(()())()((()())(())())(()()())(()()(()))(()()((())())()))((()()(())(())())()()(()(())()()()())((()()))()(())()())(((()()())(()))(()())((())(())()())()(()(()))((())()(()()))))
((()(()()())()(()()()())(()(())(())()()(()))()(()(()))(()(()()(())(()))(())((())(()))(())())(()(())))(()(())(())(()()())(()())())(((())()()())(()())(()(())()(()()())()(()())(()))()(())()((())())(((())())(()())()()(()()))())(()(())(())()(()())())(()(()()())(()()())(())())(()()()(()())()(())()(()))(()(()(())(())(())())()((())()())()(()))(()()()()()(()))(((())()((())))(()()(()))(()()()()())(()())())) ((((())())(()()(())(()))()((())(()()()(())())()())(()()())(((())(()()())()())((())())(())(()())(()()()))((())(()()())()())((())()()()()())(()))((()(())())()(())(())()(())(()()()(())()()))((()(()())()()(())())(()(())((()))(())(()()))(((())(()))(())()(()(()())()())(()())()(()()()((())()()(()))()(()())))((()(()))(()()()()(()))(()()(()()))()(())()((()()())(()())(()())()(())()))(()(())())(()()()())(()()(())(())(()()())((())))((())()())((())()))((())(()())(())(())()(())((()())(())(())()())(()(()())(())()()))(((()())())(()()((()())(()())()())()()((()()()()())(())))((())()()()(()())(()))((())(((()())())()()(())()(()))((()())(()())()()())()((())()())(()(())((()())(())())(()(()()))()(()()))(()())(())(()(())()))(()()((())(()))(()))(()(()())(()())()()((())(())()))((()()(()())(()))()(()))(()()()(())(())())((((()))(()())((()))()(()(())))()()(()())(()())(())((())()()()())()((()()(()))()()())))((()())(()(()())()()(()()))((())())()(()())(()()(()()))(()))(()(()())(()()())()()(()()()(()())()()))((()()()())(()(())(()()())(()())(()))(()()((())(()())()()(()))()(())())(())(()()()())(()(()()())(())()(()()))(())((()())())(()()(())))(((()))(()(()(())))(()(())())()(()()(()))(()()()()())(()(()))(())(()()())))
((()()()((()()))())((())()((())())()(()()(())))((()(()())(()()())(()))()((())()(()())(())()(()))((())(()))((()())(()())(())(()(())(()()))())((()())()(()())(()()()))(())((()())()))((()()())()(()))(((()))(())()()()(()()))((()(())(())(()(()))())(())()()(()(()())()())(()()()()))(()((())()(())())(())(()()(()()))((()())())()()(()()()(()())()()())())((())()(())(())()()(()(())()())())((())()(()()())(()))) ((()()(()()())(()(())()(()()))(()())(()))((()()())(())()()(()()())(())(()()()((()))(()))(()))((()())(()(())()(())()())(())((()()))((()())(()())()()()(()))((())(())(()()()(()))(())()())(()())(()()(()())()()()))(((()())(()())()(())()(()()()())(()()()()()))((())(()(()))(())()())((())(())()()(())())((()())(()())()(()(())()()(()))((())(())()()()())(((()())(()()))()()(()))(()())(())(()))(()()())((())()(())()())(()(()()))((())((()()(()))()(()))()()(()())()())(()()))((())(()()(())(()))(()()()(())())(()()()())(()()()()())((()(()()))(())((())())()(()(()())())())(()()()())(()(()())()()((())(())()()())((()())()(()))))((()()(())()())(())(())(())((())()(())(()))()(()))((())((())()()())(())()((()()()()())()()(()()()())())(()(()()))(()()()))((()(())()())(()())()()((())(()))((())()))(((()())()()()()())((()()())(()()()(()())(())(()()()(())))(()()()())((()()()())(())()(()())())()((())()()()(()()))((()()())(())()(()()()())()(()))(())((())()))(()((())((()())())(()())()())()(())(()(()(()))()()())(()())(()()())(()()(())())(()()))(()()(())()(()))((()(()))(())(()(())())()(((())()()()())()()(()))(())())((())(())(((()()))()()())(()(())())()()(()))((())(())()()(()(()())(()())))(()()()(()()())())(()()(())())))
((((())()()(()()())(())(()))(()())()((())()(()))(()())()())(()(())()()()())(()(())(())(())(()()))((())(())()()((())())(())(())((())))((())()()()(()))(()())((()()()()(()()(()))((()))())(()()(()()(()())()())()(()())()(())(()(()())()())(()))(())(())(()(())(()())()())((()()()))(()()())(()(()))((())()()))((())())((()())(()()(()()))(((()))()(()())(()())()()(()))(()(()))((()())()())(())((())())(()())())) (((()(())()(()())(()()))(())((()))(()()()(()))(()()()())()((())))((()(())()()())((())()(()))((())()(())()(())(()((()))()()(())())(()(())(())()()))()(()()(()())(()()()())()()())()()(()()))((()()())((()()))(()()((())()()())()()(()()()())()(()(()())(())))(()()(()))((()())())(()()()())((()())()()()(()(())())(()()))(()(()()()()())()((())(())()())())((()(()()())()((())()())(()()))()(())(())()(()())((()())(()(()))()()())((())()()()(()()()))))((()(())()()()(()()()))((())(()))(()(())())((())()()((())())(())(()(())(()()())(())(())())(()))((())(()()())(()()()())(()(()))())(())(()(())())((())(())())(()))((())(())(())()(())(()(())()(()))(((())()())(())()(()))(()))(((())()()()())(())(()())()((()())(()))(())(())())((((()))()()()(()(()()())())((())()()(()((())())()())(()()(())))(()((()))(())((()))())(()()()(()())()))(((())())()((())()()(()))(())(())(()))(((())())()()(()())())((())()()()((())))(()(()()()())((())()())()((()(()))()()))((()()()())(())(()()(())(())()(()))((())(()()())()()(()())(())()(()))(())(())((())(()(()))((())())())(()(())((()))()())())((())(())())(()()(())()(()))(()((())())()(()()(()))))((()()(())(())())(())(())()()()((())(())(())()()))((())(()())()()()(())(()(()())(()()()))(())))
(((())()((())()()())()(())())(()()(()())()(()))((((()))(())(())(())(()()(()())))((()))()(()()(()(()())))(()(()()()())()(())((())())()((())())(()()))()((()))(())((())(())()))((())()()(()()))(()(()(()))(()(()())(())()()(())(()))(())(()()(()))(()())((())(())()()())(()()())((()())()()()))((()()())()())(()(()())(()(())()(())(()()()))(()()()(()())()(()))(())())(()((())())()())((())()()(()())(()())(()))) (((()()()(())(()())())(())(()(()(())())()(()(()))((())()))(()()())(())(()()(())()(())(()(()))(()()()())((()()()(()))()))(()(())()((())(())(()))((()())())())((()))((())))(((())(())())(()(())()())(()()(()))((())(()())())(((()()())()()()())(()()())()((()()())(())()()(()))(())(()())(()()(())))((())()())((()())(())(()())(()())((()())()(()))(()()())(()())(((())()()())()(()()()()))(()(())))(()()(())((())(())()(()))((())())(()()(())()))((())()(()(()))(()()())))(((()()())()(())()()())()(()()()()(()))((())()(())()))((()())(())((())()())((())()())())((())((()()()())()())(()())()(()()()())()(()()))((()(())()((())()())())((())()(((())))()(()()(())))((())(())()(()))((()()())()()())(()()()()()(()())())(((())((()))(())(()()))()(()())()()()(())(()((()))(())()()())())((()())(())())((()())(())()((()())(())((())())()((())))(()())(()(()))()()((())()(())))((())(()()())(())((()())(()))()(()()())((()(())(()))()(())()(()()()(()))(())(()(()))(()))(()((())())())(()())))(()((()())(())()())(()()(())()(()))(()()()()()((())))()())((()(()(()))((())()())((())())(()))((()())()((())))(((()()))(()(()))((()))(())(()())())(())(())((()))(()()()))((()()()()(())(()))(())(()())(()(())(())()())(()()()())(()()())(())()(())))
(((()())(()())(())(()()(()))(())()()())((())(()()()())(()()())(()(()())()()())(())(()())((())(())(()()())()()(()())(()))((())(()(()))((())()(()))(()())()((()))()((()))()))(()(()()())((())()(())(()()()))(()(())(())()())(())(()()()(()()()())((())(()))())())(()(()())())((())()()(()()())()())(()(())())((())(()()(()))(()())(())(())(()()(()))(()()(()())()))((()())(()())()(())(()(())))(()(()(()))()()())) (((((())())(())()()(()()))((())()((()))())(()())()(())((()))(()))(()()(())((()))(()())(()())(()(())()())(()(()())()(())))((()()())(()(())())((())()()(())())(((()()))((())(())()())(()())(()()(())()(()()))(()())(())())(()()(()))(()()(()))((())()((()()))()()((())(())()()(()())))(()(())())(()(())()()()(()()(())()())))(()((())()()(()())())(()())()()(()()()())())((()(())())(()()(())(()))((()())((()))()()()())()(())()(()())())((()()(())()()())(()(()(()())()()())(())()(()()()((()))(()))(())(()()()()))(()(())((())())(()())(()()())(())())((())(()()())())((()())()((())(()(()))(())(())(()()()()(()))())((()())(()))((())()(()()(()))(()())()(()()()()))()(())(()()()())())(()(()))((())(()()(()()))((()))())((())((()))(()))((()()()()(()))()(()(())(()()()((())))()()(()()))(())(())((()())())()()((()()())()(()()))))(((()())()(())(()))(())(())(())((()()))(())(()(()())()(())())())((()()())((())()())((()())()())((()())()()(()()))((())()()(()())()((())(()()))()())(()())((()((())()))(())(())(()()())(()()))((()()())(())(()(()))()())(((()())(())()((())))(())((()))(()())((())())()(())(()((()))()(())())(())))((()())((())()(())())()((())()()()()(())((())()()())(()(())()))(()())(()()())(()()())(()())((())()()())))
(((())(())(())(())(())(()()()())(()))((()(()))(()()())(()())()()()((()(()))()()())(()()())((())(())(())()(()()(()))))(()()(()))(()(()()())((())()((())()))()(()())(()(())(()))(()())(())())((()()())(()(())()()(()))(()())(()()()(()))(()()())((())(()))(()()())(()()(())(()())())((())()((())())(())((())(())())()()))(()(())()())((())(()()()())(()())()()()())((()()(())())()())((()(()))(()())(()()()())())) (((()(()())()()())()(())(()(()())())(())(()())(()()))(()(()(())())()()(()()()()()())((()()()())()())(()())())((()(())((())(()())(()))()())(()()()()())(())(()())((()))(())((())(())()(()())(())((()))())(()()()()))(((())()()()())(()()(()))(())(())()()(()(())(())())()())((()()(()()))(()()()(())())(()(()()))(()())((())()()())((()())((())()()()(()(())))()()(()())((()())())()(()))(())((())(()(()))()(()))((())(()()())(()()())(()()())()))(()((())()(())(()(()()()))()(()()))(()()(()))(()()())(()()()()(()))(()(()()())(())(()(()))(())()(()())(()))((()())(()())()((())(()())(()))(()(())((())()())()(())())(()(()))(())())((())()())((()()())()(()()(()()()())()()(())())(())()(()()(())())((()()())()((()))(()(()))())(()())))(()(()(()()))()(()(())())(()((()))()()())()(()()))(((()())()(())(())(())(())())((())()()((())))((()())((())(()))((())((())))(()(()(()))((())(())(())())()()(()(())(()())()())(()()()))((())()())()(()()())(()(())(())))(()()()(())())(()()()((())()()()())(()()())((()())(())())()(()(()())()))((())(())()()(()()()())((())()())((()())(()((()))()())(())()())((())()())(()()(())(()())()))(()()((()())()))(()(()()())()(()))(()(())(())(())()))(()()(()()())(()(()))(()()()(())(()))(()(())()())(())))
((()((())(()))()()(()))(()()(()()())()(())(()))((())(()()(())())((())()()())(())((()(())()())()()(())(())(())()())(())((()))(()(())()(()()(()()))(()()(()))())(()))(()()(()())()(()())(()()(()())())()((())()(()())()))(()()(()))((())()(()))((())()(())(()((()))(()())()()(())((())()))(())((()())(())()(())())((())()(())()()())((()))(()()))(()()(()(()))(()())()(()())((())(()())(()())()))((())()()(()()))) ((((()))((())())(())()()((()))()()(()()(())))((()(())()(()()))()(()())(())((())())(()))((()()()()()(()(())())(()))(())()((())(())()())((()))(((()))()(()())(()())()(()(())))(()()(()))(()())(()))(((()())(())(()()()())((())())(()))((())())((()())(())(())(()(()())())()(()()((())())(())(())(())()))(()()()()()((())()))((())(())(())())(()(())(())()()()())(()()())((()((())()(()))()(()())(())())()((())(())()(()()))(()(()))(()())(()())((()()))((())())())(()(()()())()((())(()())())))((())(()())(())((()())()()((()))(())(()()))(())((())())(()))((()(()(()))(())()(()())())(()()()())((())()(()())()(()()))(()()(()(()))(())(())(())()(()(()())())(()()(())()))(()())(()(())())((()))()((()()()())()(()())(())()()))((()())((()()(()))()()()(()()()))(()())()(())(())(()((())())(())())(()()((()))()))((())(())((())(()()())())(()()()(()))()()())((()(()()())()(()))(((()))(())()()((())()()()))((()())(()())(())((()))())((()())(()()(())()()(()))(()(())(()(())())(()))((()))()()()())((((())()())()()(()(()())(()()))()()(()())())(())(()())(()()())(()(())())(()(())(()))(())((())())(()(()()()())(()()())(())()()))(()(()())(()()())()()())(()(()()(())())()(())((()())())(()(()))(()()()())())(()()()(()())())(()()()(())(()))))
(((())()(())()())(()(()())(()())()((())(()()))(()((())()()())(())())(())())(()())((((()))()((()()())()()())()()(())((()))())(()()())(())(()(()))(()())(())(()()()()(())())((())(())()()((())(())(()))((()())()()(())())))((())(()((())(()))()()())(())(())()(((())()(()))()(()())()()())()(()()())(()()))(()(())()(()()))(()()()(()())(())(()))(()(())()(())())(()(())(()())()(()()(()))()()(()(())()(()())()))) (((()(())((())()((()())())((()())()()()(()()))(())(()))((()())()()()(()))((()())(()())(()(()())())(())(())())(()()(()))()((()())()((())(())())))(()((()()))()()())(((())(())(()))(()()()())()()()(())())(()(())(())(()()()()(()))((()))(())(()()()))((())(())()(()())())(()()())(()(())(())(()))(()()()()())(()((())(())()(()))(())(()()()()(()())()())(()(())()(()())(())()())((())()())))((())(()())(())(()())((())()()(()())(()(())(())))(()())(()()()()))((())(())((()))()(()()()(())((())(())))(()(()())(()))())(((())()(()))((())(())(()(())())(()()()(()())((())))((()))(()()(())()()))(()()()(()))(())(()(()()())(())(())())((())()()()(()()))((())()())(()())(()()()()()(())()))((())((())()((())()(()))()())(()())(()())(()(())()(()))((())()())(()()(())()(()())(()())(()(())))()(()()))(()(()(()()())(()))(()(()())()(()(())))()(()())(()())()(()))(()(())(()()(())(()))()(())()()((())()()))((()())((())(())()(()())())(((())(())(()())())()()(())(()(())(()))((()())()()(()()(())())(())())(()()(())()()()))(()(()()()())())(()()()()()(()))(((()())(()))(())(()(()))((()())(())()()()(()))()(()())(()))((()(())()())(()())(()()())(())(()())()()(()()))(()(()()())(()))(()()))(()()(()(()))(()()(()())(()()))()(())(()()(())())))
(((()())()()(())((())()(())())(()))((()()()()())(()(())()()()())()()(())(()()))((()())(())())(((()(()()))()()(()()())(()()))(()())()()()((()())()(())()(())())()((()))(()(()(())())(())()()))(()(()())()()(())(()))(()(()(())())()(()(()()))()()(()))(()(()(()))(()()()))(()(())()(()())(())())((()())(()())(()())((())()(()()))(()()(()()())(()))((())(())(())()(())()())()(((()))()((())(())())((())())())())) (((()()(())(())())(()())()(()())(())()(())(()(())()))((()((()))()(())((()()))())(()()())()(()())(()(()())(()()())((())())(()((()))()()()))((()))((())())()())((()())((())())(()()(()))((())()()())()()(()()()))(((()())()()())()(())(()()())()(())(())())(((()())()())((()))(())()(()()())(()())(()())(())(()))(((())(()))(()())((()))(())(()(()())((()))))((()(()(()))()()(())()(())(())(()))(()(()())(()))()(()(())())(()()(()()))(()()()()(())(()()))(()(()())(())((())(()))(()(())())(()()((()))()()()((()())))()())((())())(()))((())((())()()()(()))((())(()()())(()(())())()(()()(()()())()()(())((())(())()(())))(()((())))((()())(()())())(()(()())(((())))(())(()))(()))((()())(())(()()(()))(()()(())()()())(()()()(())()((())))((())())()())((())()()(()())((())()))(((()())())()(()()(())(()))()()())((()())(()()(())())((())())(())((()))(()())()()((()()()())()(())((())())))(()()()(())(()(()))())(()(())()()))((((())())()()()(())()()())(()()(()()))(()(()()((()))()())(()()(())())(())()(()(()())(()())(()()())()()()())()(()())(()()))((())(())(()())(()(())()(()))(()()()((())()))((())())(())(()()))((()())()(()())(())()()())(()(())()()(()))(()())((()())()()()(()()()))(()(()()(()())(())())()(())(())()()(()()()()))))
(((()()(())(()())(())(()))(()(()))(())((())()(()))()(()(())()()())()(()())(()))((())(()())()())((())(()())(()((()))()(())(()()()))((())()(()())())((()))()(())(()()(()()(()()))(())()(()(()))())(()(())(()())()()))((())(()((())()))(())()())(()(())((()))(()(()))((()()()()))()(()()(()())(()())())())((())((())())()(())())((()())(())()()(())()()()(()()(()())))((()())(()())()(()())()(()))(()()()(()(())))) (((()()())(())(())()((())(())()()((())))(()(()))(()()))(()(()())(())(()())((()()())((()())())(()()())())()(()())(()(())(()())))((())()(())(()())(()()()())(()()(())()())(()()))((())((()))()()(())(())(()()())()(()(())()))(((())(()()((())()()))()()()(())(()())(()))((()()())(()()(()()))((())()()(())((())()))(()())(()()(()()())()(()))(())(()()())()(()(())()()))((())()()(())()(())()(()()))((())()(())())(()()()(()(())))((()())(()())()())((()())(()))((()())(()()(()()())()())((())()())(()()(()())()(()))()(()())()(())(((()()))(())((())()())(((())))(())(()()())))((())()(()())()))((()()())(()()(())(()()()()())(())(()()(())()()))()((()))(())(((())()())(()()(())(()))(())(())())(()(()()))(()()(())(())))((())((())())((()(()))(())()(()()())()()())(()(()))(()()(()(()()))(()()())())()(()(()())()()(())())(()())(()((())((())())(())(())()(())())()()()(())(()()()(()()())(())())))(((()())()())((()(())))(()(()()((()))(())(()))(())(())(()())()(()(()()()(())())((()))(()((()))())()(()))())((()))(()((())(())(()))(()())()()(()))(()()()(()))(()())(((())()())((())((())()()())((())())()(()())())(())()()()((())()())((()())()()(())(()()()))(()))(()(()()())()()()(())()()))((())()((())())()(())(()(()))(()()(())())()))
((()()(()()(())(()))((())()(()())(())())(()()()()(())())()(())((()(())())(()())(()())(())(()()(())())()(())))(()(())()()())((()()()()(()()())(()(()())()))(())((())(()))(()(())(()())()())(())(()()()(()()()())()()()())(()()(())()())(()()()))((())()()((())(())))(((()())())(())(())(()())()()(()(())()))((()())(()())()(())()())((())(())()((())()())(()))(()()(())(()())(()())())(((())()())()(()())()()())) ((((()(()))()()())((())()()(())(())(()(()()()))(()()())((())()(())())(()))(()()()(()))(((())(())())()(()))((())()()()())(()(())((()))())((()())(()(()))()()(()())(()))((()()(()))((()))((())(()()(())(())(()))()(()()())()()(()))(()()(()())())(()()())(())(((()))((()))(()())(()())(()))(()())())((()()())((())(()())(())()())(()()())(()())(()(())()(())(()()(())()())())((()))(()(())()(()))(())))((((())(())(())())(())(())(()()())(())())(()(())()(())((())(()()))()())((())((()()())()(()())())(())(()(()))()())(()()()()((()())())())(())(())(())(()())(()()()()))(()()(()()((()))()(()))(()())(()(())()())(()()()))(((()())()(()))((())(()())()(()))(()(())()())(()(()(()()))(()(()())(()(()))())((()(()))()(())())(())(()())(()())(()))(()())(()(())(()())(()()())(()(())())(()()())(()()()()((()))()())(()))(()(()()(()))()(())()((())())(())((())()(())()))()((())()))((())(())()(())((())()()(()))(()()())(())(()()())())((())(())(()())(()())()((())()()(()())()))((()(())()(()))(()()()(()()))(()(())())((()())(()())()(())(())()())(()())(((())(())())()((())())(())()()()())(())(()())(()(())))(()(()())()(())(()()())(()()()(()))((()(()))((())())()()()))(((())())(()()()(())(()(())()))()(()()())((())()())(())((())()(()))))
((()()()(()))((()())(())(()(())(()))((()))()()(()())())(()(())()()()())(()((()))(())())(()(())(()()(())())())((())(())(())()(())(()()()())(()(((()))(()))()()(())()())(()()))((()(()())()((())()())(())())(())(())(())((())()()())(())(((()))()(())(())()())()(()(())()(())))(()(()()())(()(()(()))(())(()()))(()()(())()(()())(())((()(()))(()())()))(()()(()))(())(()())((())()()()())(()()()))((())()(()()))) (((())(()()(()))()((()))(())(())((()()()())())()(()()))((())()((())(()()()())((()))()(())(()))()(()()())((())()(()()()))(()()()((()))))(((())()(())())(()(()(()))())((()()((()))((()))(()()())(()()()()()))(())(())(()(()))((())()(()))(()(()())(())()(())((())()))(())(()((()))(())()()((()())())))((()()())()(())(())())((())(()())(())()(())()((())))(()()()(()())(()())(()(())())())((()())((())(())(())(()(())))()(())((())())())(((())()(()()()())()())(()())()(()()())(())((()(()())(()()))()(()())(())()(()((()))()()()()))(()()()(()))())((())(()()())(()()())()()()))((((()()))()(()()(()))(()()))((()))(())(()()(()))(()(()))((()(()())())(())()()((())()(()))(()))((()())()()()()())(()()(()())())(()()))((()(()()))(())(()((())())())(())(())()(()()(()(())))(()()()(())(()()))((())()(())(())((())())()()))((()()()(()))((())(())((())())(())((())()))(()()()()(()))((())())((()()()())()(()))(()()())((()(()())()()(()(()()))(()(())()))((()())()((())))(())((()())())(())()((())())())((())()())(((())()()())()(()(())()(()(())(()())))(()())(())(())()(()())))((()()(()()()())())(()(()))()((())()())(())()(()))((()(()))()()(()())(()()()(())(()))(()())()(())(()(()())(()(()))()))(()(())(()()()()())(()()())(())()()(()())))
((()()()((()))())(()()(())())(()(()())(())(())(()()()())(()())(()())(())(()))(((())(()))((()(()(()))())()()()())(())(())()(()())((())(()(()))(()()()())(()))())(((()()())(())()()())((())())((())(()()()()())())(())(()())(((()())()())()()(()(()())()()(()))(())()((())(())()()((())))())((())()())(()))((()()())()(())(()()())())(((()))()(())())(()(())(())(()())(()())())(()()(()()())(()())()(()(())(())))) (((())(()()()())((()))(())((())()((()))(()()))()(()())(())())(()(((()))()()())()(())(()()()(())(()()(())))(()()()()()(())))((()()())(()()(()()))()(()((())(())()())()())((()(()))(()()(()))(())(())(()())())(()()()()(())(()()))((()())(())()()(()(()())()(())(())())(())(()()))(()))((())(())(())(())((())(())(()())()(())()())(()()(())())(())(((())()()())()()(()))(((())()(()))(())()(())()()()))(((()(()))()()(())(())(()()(()(())()())())()((())(())(()(()))(())()))((()())()())(()(()())()(()()))((())(())()())((()(())()((()()))(()())())(())((())(())(()())(()()))(()()()(()())()(()))()(())(()()))((()())(()())()()()())(()()())((())()((())())(()())((())()()(())()))((()()()())(()()()()())(()()(())(())())()((())()(())()((()))(()())())((())(())())((()()())()()()(()())(()))()(())))((()(())(())(()))((())(())())((()()())()(()())((())()))((()()())()((())())()(())()())((())(()())(()(()()))(())(())(()()()(())(()()))(()()()(())((())()())(()))())((()())()()())(()(()))(()((())()())()((())())(()(()())()(()))(()()(()())(()))())(()(())(())()(())))(((())())()(()()((())())()())(())((())()())(()())()()())(()()(()())((()())())((())(((())))())(())()()(()()))((())()()(()()())(()())()()((())((())()())()()())(()(())())))
(((()()())(()(()())(()()())()((())()())(()))((())(()(()))(())())()((())()()()(())())()(()())()())(((()))(())()(()()()))(()()())(()(()(()))()())(((())()())((())())(()(())()()())(())(()()())()(()))((()()())()()()(()()()())()(())(()))((())(())(()())()())(()()((())())()()(())(())())(((()()((())))(())()()()()(()))(()()(()())(())()())(())(())(()())(()())()(()(()())()(())(()()())()())(()()((())())()()))) ((((()(())(()))(()()(())(()))(())(())()(()())(())(())((())))((())()((())())(())(())()())(()())(()())((())(()))(())(())((()())(()())()()(()()())()())())(((())(()()())(())(()))(()(()))((())(())(())()()())(()(())()(()))((()())()(()())(()())(())()()(()(()()()())(())(()()))((()())()(()())))(())(()()(()()())(()()(()()())))(((()))(())(()()())(()(())(()())()(()(())()()))()(())(()()(()())())((()())()()))(((()))()(())))((()()())(()()(()))((())(())(()(()))(()())()()())(())(()())((())()()())()((())(()()())(())()(()()))())(()()()(())(()()(())())(()(()())(()()()))((())(())()))((()())()(())()(())(()(())(())()(()()))(())(()))((((()))())(()(())(()(()))()())((()())()(())(()(()()())()(())((()))())(()(()()()()))()(())()(()()))((()())()(())(())(()()))((()())()((()())(())()())()((())()(())())())(()(()))((())(()()()())(()())((()()()())()(()(()()())(()))(()())(())()()(()))(()(()()())()())(()()())(()())(()())(()()))((()()(())()(()()))(())(()())(()())(()())(()(())()(()))((()()(()))((()))(())(()(())())(()())())()(((()))((()())())(()())()(())()))(()(())(()())))((())(()()()()())((())()()())((()))(()())(()())()()())(()(())(())(()()((())))()(()()()())(()()())())((()()(())())()()(()()())(()()(()()()))(())(()())))
(((())()((()()())()()(()()())(()())(()))((()))(()(())((())))(())(()()()(())())(()))(((()()))(()()(()))()()(()()())((())()())()())((())(()()()(()(()())()()())())(()(()))((()))((()(()))(()())()(())(()))(()(()()())((()())(()))()()(()(())(())()())()())()(()()()())((())()))(()()()()(()())())((())(())()((())(())()))((())(()()(()(())))(())()(())()())((())(())()()())((())(()())())(((())()())(()())()(()))) ((()((())(()())(()())())()(()()())()(())(())(()()()(())()))(((()())((()))(()()()())()(()())(()(()))())(()()()(())()(()()))(()(())(()(())()())()())(()(())(())()())((()(()))(()()())()(()()()(()()()(()()))(()))(())(()((()))())(())((())(())(())(())(()(()())))(()()()))((())()((())(())(()())()(()))(()())(())(()())())(()()(())(()))(((())))((()(())(()(())(()()))(()(()())))(())(()(())()(())(()(())())((())(()))())()(()())(())(()()()())(()())))(()(())(()((()()))(()())(())()())((()))(())((()))()()(()()(()())))(()()(()())(()()())(())(()()()(())))(()(()(())(()()))(()(()(())())(())(()()))((()))(()(()))(()))((()())(())(())((()())()(())(()))((())(()(()(()))()())(()(()))(())()()())(()()())()((()())(())(())(()()(()()))(()(()))((())(())()((())))(()))(()(()()())))((()()(()()))(())(()())(())(()()(()()()(())))()(()(()())()(())))(((()())()(())(()()))(()()()()((()())))((()()())(())(((()())))(()()()))(()(())())((())())(()())(())(()()()))((()()()())((())(())()(())())((())())((())(())()(()()(()()()))(()()())()((())(()())(())(()))(()))(()(()())(()()))(())(()(())(()())(())((()(()()))()())(()()()()())()(()()))((()()()())(()(())(())()()(()))((()))(()()(())()())(()(())()(()))()(()()()())()((()())()((()))))(()())))
(((())()()(()()()))((()(())((())()())(()))(()())(()()())((()))(()())(()()()(()))(()(()())()()()(())))((()()(())())((())()(()(()())())(()(()))())(()()())((()()))()(()(())()(())()((()())()()))(()(()())(()()()())(()()()())())(()))(()(())()(())())((())(()()()())(()(())(()))()(())((())(())()())(()(()(()))()()))((())()()()(())(()()()())())((()()())()()()()())((()()((())))((()))(())()(())(()()))(()()())) (((())(()())()(()())(()()())((()())((()()())())()()))(((()))(())(()(()())()()())((()())())(()()()((())()()())()()())(()()())(()())((())()(())(())())((()(()))(())((())())()(()(()())()())()))(()(())(()())(())()(()(()))((()())(()())(())())(()()))((()())(((())())(())()(())())(()())((())(())()((()()))(()()))(((()()()()())((()))()()())(())(())((())())(())(())(()()))((())())()(()()(()())(()()())((()())()))(()()))(((()())((()))(()))(())()()(()())((()())()()())()(()))(((())(()()())())(())(()(())())(((()(()))(())()((()))(()))()(())(()(())()()())((()())()())(()(())()()())()(()()(()(())())))((())()()()(())(()))(()(()(()))(((()())())()()()(())()(()()))((())())((()))(()())((())))(()()())(()(()(()()()())(())()())(())((()()))(()())()(())())(()()(())()()()()))(()()(()(())()()())(()())(()()(())()())(()())(()))(()(())()()((()()))(())()((()())()(())))((()(()()))(((())()()()(())(()(()())()))((()))(())((())()()(()()()))(()())(())()()(()()))(((())())()(())((())()())((())(()()()())())()())((())(())())(()(())()(()(())())())((()())((())(()())()()(())((())))(()())(()(()()))(()())(())((()(())())(()())(()(())(()))()(())())(()()(())())(()))((()())()(()())(())((())())())(()()()()(()())())(()()()(()()(()()))())))
((()(()()())()(())((())()(()()())()(())())((()())(())()(()))()(()))((()()())(()()())(()())((()))(())((()))(()((())())(())(()(()))())((())(()()()())()()()))((()(()()))()((()))())((())())(()(())(())())((()()()(()))(())(((())())(()()(())())()()(()))((()))((())(()()())()(()())((()()))())(()(())()())(())((())())(()(())()()(()())))((())()()(()())(()()))(()(()())(())()()(())((()))())(()(()()())()(())())) ((((()))()()(((()())())()(()(()()))())(()())((())(()(()))()())(())(()())())((()()(()()))()(()()(())())()(())(()(())(())()()(())))((())((())(())()(())())(())(()(())()()(())())((())((()))((())())())(((()))()(())()((()())()(())(()))()()(()()()))(()())(()))(((()(())()(()()))(()(()()())()(())(()()())(()()))()()((())(()()())()(((())())())())((()))(())((()())())(()()))((()())()(())()()())((())()(()))(((()())()()()((())(())))(()()())()((()))(()())(())((())(())((()))(())()())((())()()()))(()(())(()()(()))(())()())(()()(()())(()))((())()())((())(()())(())(()((())))(()(()))(()()((()))(())(()()))(())()(()()()))(()()(()()()(()(())()))()((()())(())()()())()))(()(()()())((())()(())()()())()()((())()()())((()()())))(()()()((())(())())((()())())(()()))((()()()()())(()(())()((()())())())(()())(())(()()())(()())((()))()(()))((()(()())(()))(()()(()())(()())(()()(()())))(()()(()))(()()(())((()))())((())()(()))((())(()()()()())(()()())(()()()(())())()(()(())()()())((()())()))(()(()()()(()(())))(()(()()()))(()())(())()(()()()(())())(()(())()))(()()()())((())()((())()(())(()))(()(()))))((()())(()()())((())(()())(())()(())(()()())(()())())(())(()(()())()()()(()))(((())())()()()(())(()()()))(()(()))(()())))
(((()()())(()())()(()())()())(()(()()())(())()()())((())())(()(()())(()()())((())()()()(()(()()))()())((()))(()(()()(())()())()(())(()(()())(()))(())())((()())())(()())(()()()))((()())()(()))(()()((())())()()(()()()))((()())(()(()))(())((())(())(()())()(()()))()(()(())())((())()(()())()()())(()))(()(()())(((())()))(())()(()(())(()))()())((()()())(())(())(()()()())()(()(()())()()(())()(()))((())))) (((()()()()(()()(())))(()(()))((()())()()(()(()))((())(()()()))((())()()()()())()())((())()()())(()()())((()())()(()))(()(()()())(()()((()))())()(()())()(()))(()((()))(())(())())((()(()(()))(()))(()(())()()()()(()()()()))()(())((())(()())()()()(()))(())((())()(())())(())(())))(((())()()())()()(()()())()((())(()(())())(()))())((())(()((()))(())()())(()(()())()())(())((())()())()((())))(((()()()())((())(()()()())((()())())(()))(()(()())(()))(()())(())(())(())(()(())(())()))((()())(()))((()()()()(()()()))(()()()(()))((()))((())()()(()))(()())(()()())(())((()(()))(())((())())()()()))((())(()())(()))(()(())(()())()()())((()())(())(()()))(((()))((())((())))()(()())(()())(()()()(())()))((())(())(())(())(())())((())()()()))(()(((()))(()())())()(()(()))()(()()())(())((()))())(((()())()()(()()((())())())(()(())(()))((()())()(())())()(()))((()())()()(())(()()()()()())((()())()(())(())())(()))(())((())()()()())(())(()(())())(()()())(()())((())()(())()()(()()()(()()))()((()))))((())(()())(())(()(()())(()())(())(()())())(())()()(())(()()(())))(()((()()())()()()())()((())(()())())(())((())))((()())((())())()(()()()())((())(()())())((())())(()())((())(())(()())(())()(())((())(())(())()))(()(()))))
(((()())()()())((()()()())()(()()())()())((())()()(())(()()()()(()(()))(()()()()))((())())((()()))(()()))((())(())(()(())((()))(())()())(()(()())(())())()(()())(()(()))(()()())(()()()))(()()()(()))((()())()()(()()(())())(()()))((())(()())()()(()()()))(()())(((()())()()()()())(((())()()())()()(())(())()())(()()(())()(())()())()((()(())())(())(()()(()))(()())(())(()()()(())))(()()(()()()))(())(()))) (((()(()))(()(()())()()()())(()(())(()(())()())()()())(()(()))()((())((())())(()()())()(()()())(()))((())()()()())((()())(())()(()()(()))(()(())(())())(()))((())()()()))(((()())(()())((())()()(()))(()())((())()()())(()()())(())((())(()()((())))(())()())((())(())()()()(())((()())()())))((()(()())()((()))(()))(()()())()(())(()(()())()((())()()()()))(()()()()()())((()())()()(()))())(()(())(()))(()(())(()())()(()()))(()()()(()()))((())(()()(())()())(())(())()((()()())(())(())(()()))(()()))(()()()()()())((())(())(())())(()(())(()(())())(())(()())))((()(())((()))(())((())(()())())())((())())(())()((()())()(())()((()())()))()((())()())()((()())))((()((()))((())())()()())(()()()()()(()()))(()())(())(()())()(())((())))(((()()((())))()(())(()())(())((()())())(((()))()())())((())()(()))((())()()())((()())((())))((()())((()())())((()())()(())(()(()))(()))(())(()())((())()))((())((())(())()()(()))(())()()((())(()(()))()())(()()()))(()(())()(()))(()()()())((())()((()))()))((())(()(()())()())(()()((())(())()())())(())()(()(())()))((()()()())(()(())()())(())()(()()(()()))(()(()))())((())()()()(())(()(())(())())()(()()())((())(()())()))((())(()()()()(())())()(()())((())(()))((()()())(()())()())()))
((()(())()(()))((()())(()()())(()(()()(()))()(())(()))(()(()))()(()(())())(()()())(()())(()(()(()()()))()()(()(()))(())))((()()()()(()))(()(()()()())(()())()(()()))(()())(()((())()()(())())(())()()())(()()()())((())()())()(()())(()(())))(()()()())(()()(()())()())(((())()()()())()(()()())(()())(()()(()))()(())(()()()(())())(()))((()())()()()(()()))((())()(()()())(()()))(()(()()()())()()()()((())))) (((()()()(()))((()))(()(())()()(()))(()())())(((()()((()))(())())()(()())()(())(()()()(())))(()(()()(())(()))(()))((())()())((()())()())((()())(())())(())(()(())()(())())((())(())()())(()()()()))(((()))(()())(()())()(()()())((())()()())(()()()(())((()))())(()())())(((()()())()()(()(())(()())())(()()())())((()()(()))()((()()))(())((()()())()(()())())())((()())((()())()()(())())((())()()((()())())()(())())()(())(())(())((()())()()())((()())(())()()((()))((())()()()())(()())))(()()((()))(()())(()()))((()(())(()))(()()()(())()())((())())(()(())(()(()))((())())(()()))(())(()(()))(()))((()())(())()())(()()()()(())(()))(()()()(()))(()(())()(((()))())))((()(())()()())(()()(()))()()((()(())())()(())(())(())())((())(()()))()(()()()(()(())(()))()(())(()(())))(()))(((()())())((()())((()()()())(())((())())(()))(())(()()())(()()())()(()((()))(()())(())())(()))((())()()(())())((())(())())((()(())())()(()()(()))()(())(()()))(()(()())()(()))((())())((())((())()(()())(()))((()())((()))()((())()())((()))(()))(()()()(()))(()()())(())(()(()()))(()))(()()()()()))(()((())())(()(())()())(()()(()())()(()))()()())((())()((())()()())()()((())(())()((()))))(()((()())()(())())(()())()(()())()((())(()()()))()))
(((())(())(())()())((())(()())(()())(()(()()))(()(())()()))((()(())(())())(()()()())(())((()()))(()()(()())()())(()()())(()()())((()()())(()()())()()(())(()())()))(()()(())())(()(())(()(())())())(()(()())()()())((())(()())(()(()())(())()())()(()())(()())(()))(((())())()()(())())(((())())(()(()()))(())(()())((())(()(()))()()()(()))((()()(()()))()(())(())()(()(())())()())((())())(()())((())()(())))) (((((())(()()())()()()((()())()))(()())(())(())()(((())()(()))()(())((())()())(()))(()()((())()()))((())(())())((())()()()(())))(((())(()()))(())(())((()())(()())()()(()))()(()()()()(()))())(()()(())()()(()))(((()))()()()(()))(((()))(()()())(()())()()()())((())()((()))()(()))(()(())(())((())()))(()(())((())(()())()(())()(()()))(())()((())()())()((())()))((())(()()()())(()())(()()(()(())()))()))(()()(()())(()())((())())(()(())(())(())(())())(()())()())(()(())(()())(()(()())()())(()()(())()())(()(()()))()())(()(()()()()((())))(()()())()(())(()()())())((()()()()((())))((())()()()())((()())(()()())((()))((()())(()())((())(()))()())(()())((())()()()(())()(()()()))(()(()))()())((())((())())()()(()(()(()))()())(()()())(()))(()(())((())()))((())(((()))(()()()())())()()((())()(())())()(()(())())(()()))(()()()()()(()(())))((()())(())(()))(()()()(())))(((())(())((())())())(((()))())(()())()(()()()(()())())()(())())(()((())(())())((())(())(()()))()()(())(()))((()()())(()()())(()(())((()())())((())()())()()()(()(())()()(())))(())(()()(()())((()()))(()()))(())()(())(()()(())()()))(()((())(()()())()()(()()))(()()())((()()())(())((())())(())()(()()()))()(()())(()())(()()())(()(())(())()(())()())))
(((()()(()))()()()())((()(())())()()(()())(()(()())(()())(()()()))(()()(())())()(()()))(()(())()(()))(()()())(()((()()())()(())((()))()()())(())()()()(())((()())()(())()())((()())(())()()(()())))((()()()())(())((())()(()())()(())((()())())())(((())(()()))((())()(()()())())()()(()())(()))((()())(()))(())(())(()(())())(()()))(()(())(())(()())(()))(()()()(()()())()((())()()))((())(())(()())()(())())) (((()())((())(()()(()()())(())()(()()()))((()())(()())(())()(())()(()()()))(()())()(()()())(()())(()(()))())(((())()())()()((())))((())()()()(()(()()(())()))()(()()()()()())((())()())())((()())())((())()()()(()))((()())())(()(()()(()(()))(()))()()(())((())()(()))(()))(()()))((())((()())((())())()(()()))((()))(()(()))(()())()()(()()))(()()(()(())())((()())(())()(()))((())())()())(((()())(())()()((()())()(()())()))(()()())(()()()())((()()(())(()()()))(()())()(())(()())())((())(())())((())(()()())(()(()())(())())(((()))())()()()((())(())()()()))((())(()())(()()((()))()(()())())(()()()()()(())())(()())(()()())(()()()())((()())(()())(()()(()))())(()()()(())()()))(()()()())(()(())(())(()())(())()))(((())()())()(())()(((())())()())()(())(()(())()()))(()()(())(()(())()()(())())()((()))((())()(())(()())()())(())(()()(()())))(()()(()()((())())())((())()())(())()((())())(()())())((()(())())(()())((())())(()()())((())())((()(()))()(())(())()(()))(()())(()()())((())()(())(()(()))((())())(()(()())(()))(())))(((())(((())()))(()()())(())()(()())()((()())(())()()()()))(()())(()(())(()())((())()()())()()(())(()()(())()()))(()())(()()(()(())))((()()))((()())(()()()))((())(()()())(())())((())(()()))))
(((()()))(((())()()())(())((())))((()()(()(())()())()()())((()))((())()()()())()(()()())((())()(()(())()()())())((())()())())((()())()(())()()())((()())((())(()())()())(())(()(()(()())()(()))(()())(()()()())((()))()()(()))(()())((()))((()()()())()()(())()(()()()))(()))((()())(()())()(()())(()(()))(()())()((())()()()(())))(()((())()())()()()()(()))(()()(()()())()()()()(()(())))(((()())())()(()()))) ((((()()()())()()((())())())()((()))(())()(()()(())()())(())(()()))(()()(()()(())()())(())(()(()))(())(()(()())(())(()))(()()()()))((()()())(()())(())(()())(()()())(())(()))((()(()())(((()))()(())()())(()()(())()(()()()))(()))(()(())()()())((())()()(())()(()))(()()())((()())()(())((()()))((()())()()()(())()())(()((()()())()(())(())(()))()(()(()))(()()))(()())(()()())())(()()((())())(((())()())(()())()()(()))()()((())()()((())(())())))(((()))()())((())()())((())()(())()()))(()(()()())(()(()()())(())(()))()(())((())()))((())((())()((())())())((())()())((()()())()()())(())(()(())(())())((())()(()()()(()))(())))(()()(()(()())())(())((())())(()(()))()(()(())()()()((())()(()))))((()()()()(()())())(()(()(())(()()))(()(())(()))()((())())(()))(()(()())()(()())(()(()())(()))())(()()()((()))(()()))(()(())((())()(())(())(()()())(())())((())()(()()())(()())((())()))(()()()()(())())(()())(()())(())((())(())()(())()(())))(()(())()()((()))())(()(((()))()()(())(()()()))()()(())()(()(()()())(()(()))()()())())(()()()((())))((()())(())()()()()))((()(())()()()(()()()()))((()()()()())()((()())()())(())(()))(()()())(())(())(((()())()(()(()))(()))(()())(()()(())(())())(())(()()())())(()())(()()()((())))))
(((()())()())(()(())(()()))((()())(())((())())(()))(()()())(()(())()(()())()()(()))(()(())(()())()())(()()(()())(()()(()))()(())(()()()()(())()())(()(()())))((()()()(()))(())(()()())((()()())()(())())(()()(()()()))((()())(())()()())(()(()))(()()))(((()))((())(()())(()())()()()())(()()())((()))(())(()()())((()(()))()()(()())())(()()()())((()()())((()(()()())())()())(()())(()()())(())(()()()(()))))) ((((())()()())((()())()()(()())(())())(()()()())()())(((())(()())())(()())(()()()((())))(())(()())(()(()()())((()))(()())(()))((())(()()(()))()))((()(()(()))()((())())()()(()()()()))(()(()))()(())(())()())((()()(())((()))())()()()(()(()())()()())()((())()()))((()(())()())(()(()))(((()()))(())())((())((())()(()(()))())(()(()))((()))(()(()))(((()))()())(()))((())()()(()()())(()()()())()((())()))(()()()()())()(()(())(()))(()(()())(())(())()))(((()())(())(()))(()()(())(())()(((())())(()()))())(()()((()))()(()))(()()(()))(((((()))())(())(()())()(())())(((()))())(((()))(()()())(()))((()))(()())(()()())(()(()))((()())()()(())(()())((()()(()))))())((())()(()))((())(()())(()()())(()()(()))(()(())(()()()())()))((())()()()())(()(()()()())()(()((())())(())()()()(()))()(())(()(())(()()))()))(((()()(())())(()())(())((()(())())(()()(()))((())())())(()())(()())()(()()()))((())((())(())()((())()))(((()))(())())(()(())())(()())(())((()())(()))(()))(((()()))(())()(())(()())(())())((())()(()())(()))(()(()))((())((())())(()())()())((()())()()()()()(()()))(()(())())(()(())((())())))(()(()()(()())()())()(()())((()))(()(())()(())())(())())(((()()())()(()(()))()(()))()()((())()(()))(()())((())())()(()())))
(((())((())()()()()())(()()())(())(()()(()))())(()()()())((())(())(())(())())((()()()(())(()()())(()()))(())()(()())()(()()())()(()()()())((()())()()(()())()()()))((()())((())()(()))(())(()(()))(())(((()())(())())((()))()(())()()()((())))((())(()()(()))()(()))(()(()()()())(())))(()(()())()(()(()))(((()))()()()(()()))(()(())(())())(()))((()())(())(())())(()(())(((())))()()())((())(())()(()()())())) (((())(()()()())(()()()(())()())((()))(())()(()(()))())(((())()()(()))((())()())(())(())()()()(())())(((()())()())((()())(())()(())(())(())(()()))(()((()()())()())(()())()(()()()()()))((()()())((()())()(()))(()()()(()()))(()()(()()))(()())(()(()))(()()())(()(()()()()()(()))(()())()()(()())))(()()(())(()())()((())()())((())())())((()()())(()(()(()))()(())(()))(()())((()))((())(())(())())(()()())((()())()(())()(()())(()())))(()((())())()()())((()())()())(()()()((()))()()))((()()()(())(()())())(()())(()()()())(())((()))((())()()()(()()(()()))())(()())(()())((()())()()()(()()()(()))))((()((()()()))(()())((())(()))(())(()))(()(())()())(((()))(()))(()()()()(()()))(()(()()))((()())(()())(())()((())()()()))(()()(())(()))(()()()(()()())(())))(((())(()())())((())(())()()(()))((())()(())(()))(()()(()())())(()(()(())(())()(()))(())(()(())(()())()()(()))(()()(())())((())())(((())())(()())()(())(()()(()))())((()))((())()))(()()(()))(()()(())())((()((()))((())()))(()()())(()()(()()))((())()()())(())()((()))())(()()(())()()))(()(()()((()))()(()())()())((()))()(())(()()(()))(()()()))((())(()())()(((())())(())())(())((())()()())()())(()(()(())(()))(()(()())(())(()()))(()())(())()(()()())(()()()())))
(((()())()()(())()(())())((())(()))((()())(())()())(((())(())(()))()()())((())(()(()())()(()()()()(()))())(()(())()(()())()(()()(())()))(())(()(())(())(())(()())(()()())(()()))()((()())())(())(()()))(((())()(())()(()))(())()(()())(()()())(())((())(())()()))(()(()))(((()())())(())()(()())(())()())((()()())((()))((())())((()())(())()(())())()((()())()()()(())(())(((()))))(()()())(())((())()()()()))) ((((())()(())()(())())(()())((()))(()()()(())(()))(()(())(()))(())(())(()(())(()))((()())()(())()()()))(((()()())(()())())(()())(())(()())((()()())(())(()(())()(())())(())(())(()())(())(()()(())()())())((()())(()())()())(())(((())())((())()())(()())()()((())()(()()))((())(())((())()()))())(()(())(()())(())(()(())(())(()))(()(()))(())()))((()(())(()())(()())())(()(())(())())(())()(())(()()((())()())()())()())((()(()(()()))((())()())(()))(()(()()())()()(()))((()()()()())()(()(())())(()(())())()()(())()(()()()()))(()())(()()()())((()()(()()))()(()(())(())()())()(())())(()()(()))(()(()))((())()(())()))((()()(())())(()()(()())(()))(()(()(())()()())(()())(())(()(()()))(())()()(()()))(((())()(()()(()))()()())(()()(()))()(((())())(()()()())()()()(()))(()()()(())())(()())())(((()())()(()()())()())(())(()(())())()(()()()())()((())()(()()())(()()()())()(()(())))(()(()()())()())((())))(()(())((()))()(())()())((())(()))(()(()())(()((())))()()(()()()()))((()())(()())()()))((()(())(()())())()(()()(()()())(()(())())())(())(()(()))()(())((())(())(()())))((())()(()(()))(())((())()(()()))()((())(())(()())()))(()(()())(()()(())(())())(()())(()()()()()))(()((()()))()(()()()()())()(())()((())()(()()))))
((()()(())()((()())()()()))((()()(()))()(())())((())()()(())(()))(((())())()()(())((())())(())()((())))((())(()(()())(()()(())()()()())(()())())(()(())())(()()())((())(())(()()(()))(()()())()(())(()()()(())()))(()()((())())(()()))((()))(()(())(())())(()()))(()((()))(())()())(()()(())((())(()())(()))((()))(())(()(())()()(()())())(()))((())((()())(()())())()()(()()())((()())(())))(()(())((())()()))) (((()()(())()((())))((())(())()((())))(())(()))((()())(()()())()()(()()(()()()(()))()(()()))()((())()()())())((()()((()))())((())()()()()(()()()))((())()(()()(()))(()())(()()()(()())())()(())(()()))((())(())(()(()))(()())(()(())()(()()))()(()))(()(())(())(()))((())()())((())(()())()()(()()()()))(((()()(()))(())()())((()())(())(())()())(()())(())((()())()()())((()())(())()()((())()()())()()(())(()))(())(()()(()())())(()()))((()())((())())((())())()((())()()())(()(()))(())()((()(()))(()))))((())((()())()(()(())())()(())()()((())(())))(()())(()(())()(())())((()()(())())()()(())(()))((()())(())(()))(()()()())((()())()()()))((()()())((())()())((())(((()))(())(()(()())())(()()()))((())()()(()))(()()(())()((())))(())()(()(())))((()()(()))(())()(())(())()(())(()()()(())()))(()()())(()(())()()((())(()))()()(()()()))((())(())(()))(()(()(())())()(()()))((())()()))((()()(())(()()))(()())()(()()())((())(())())((()))()(()())())((()()(()))(()())(()()(()()())()(()()(()())()())(()()(())())()((())()()()))(()(()()))((())())()(()()(()())(())(())()(()()()()))(()(()()())()(())(()))((()())()))(()(()())(()(()))(()(()))(())(()()()()(()))(()()))((()(()))(()()(())(())(()))()(()())(((())))(()(())(())(()()))))
((((())()()())(()())(())(()())()((())()((())())()())((())((())())()(())()(()()()()))()())(()(())()(()))(()())(()(()())(())()())(()(()()())()()())(((())()(())((())())(()(()()()(())))(()()())()())((())(()())()())(()())((())()()())()(())((()))((())(()()())(())()(()()()))((())()()))((()())((()))((())()())((()())(())(())())(())((()()()())))(()(()()(()))()(()()(())()())(())()((())(())()))(()()()(())())) ((()(())()(())((()))((())())()(()()((())()))(()))((()())(()(()))((())(()())()(()))(())(())(())(()()))((()(()()())()(()())(()))(()()())()()()(())(()()(())))((()()(()())()())(()()(())()((())))(()(()((())())()((())))(()()(()))((())()(()))()((())())())((()))(()())(()())(()(())()(()))(()((())(())())(()()())((()))(())())(()()))((()(())(())((()))()())(()())(()()()())(()(()()())()(()))((())()(())(()())()(()))((())()()())(()(())())()(()()))((())(())()(()()())(())(()()()(()()(())())()()())())((()(())(()()))(()())((()))()(()())(()())((()())()()(())))((((()()())()((()())())(()(()(())())()())())()()()((())(())(())(())(()())(()()())())(()(()()))()(()((())())()(())(()))(()()))((())()(()())())(()())((())()((()))(()()())()()(()))((()())(()()()())((()())()())()())((((()))())((()())()(())())(()())((())())()())(()(())())(((()(()))()(())()(()()))(()()(()))(())(())(()()())((())(())(()())())(()(()()(()))(())(()()()))(()()())(()))((())(()(()))(())))((()())((())()())((()()()())(()(())()()(()()())())()(()()())((())())(()())()(())(()()))((())(()()(())(())(()))(())()()((()()))(()(())()()())(()))((()()())()((())()()()())()()(())(()))((())()()(()()))((()())()(())())((())())(()()(()(()()))(())()(()()((())())))))
((()(())()()((()))()())(()()())(((()()()())(()()())())(())(()()())(()())((())()()()(())()((())(())())())(()(()()())())(()()(()())(())()(())()(()()))()(()()()(())()(()())))(()()()(()(()))(()))(((()()()()())()()()()(()(())())(()))((())()(()))(()())(())(())(()())((())()(())())(()))((()())(())(())()(()))((()()())((())())()()()(()))((())(())()()(())())(((()))(())(()())((())(()))(()(())()())()(()())())) ((((())()())()(()()()())()(()()(()))(()(()(()))))((()()()())()((())())((()))(()())())((()(())())(()()()())()()((())(())(()(()))(())(()()))(())((())()))(((())()()(())(()()()()))((()()())(()())()(()()(()))())((())())((())()(()))((())()())((())()(()())(()())(()()()))((())()((()))(()())()(()())(())(((()))(()()())(())(()()))(()))(()()()()()))(((())(())())((())(()())()(()())(())())(()())((()()())()(()()())(()()((())))()(()))(())(())()(()(()(())())()((()))(())))(((())()(()())())((())()(()())()()())(())(()(()))(()(())())(())(()()))(((()()())())((()()()(()())())()()(()())(()())(((()))())(()())(()))((()()(()()(())())()()(()())(()(()))(()()))((())(()))(()(())((()))(()))(())(()(()))(())(()()(()))(()(()(()))(()()())(())()()(()))(()()))((()()())(()())(())()()(()(())(())()()((())()))(())(()((()))(())()))((()()())(()(())(()))(()))(()(())(())(())())(()(())()())(()(())())(()()(()(()))()()(())(())((()())())))(((())())()(())(()(()()())())()(()()()())()((())))((()()()()())(()()()()(()))(()((())()())(()(())()()(()))(())(()(()()())()(())())(())((()()()()(()))()(()()())()()))(()()()()(())(()()))((()((()))(()))(())()(()())()())(()(())())(()()(()()))(()()())((())()()((()()()))()(())()(()(()())()()())(()))))
(((())(()()())())(()()()())((()()()())()()()()(()))(()(())(()))((()()())((())()())(())((())()()((())))())((()(())())((())((())()())()()()()(()))(()(())()()((())))(()()())(()()()()(()))(((())(())()(()))(())()()(())((())()()()()()))(())(()(())())(()(()(())(()))))((()()(()))(())(())(()())(())()(()()))((()(()))(())((()()(()))((()))()()(()))(()(())()())()((()))(()(())(()())()((()()()))))((())(()())())) ((()(()()())(()()(())())(())(()())(()())(())(()()))(((()((()))())()(())()(())()(())()(()))(()()())(()()()(()))(()()()())((()()())(()())(())()(()()))((())()(()))(()()())((())()(())(())(()()(())())(()))(()()()))(()(())()(()(()()()))(()())(())(()(()())(())(()))())(()((())(()))(()()())(()())(()()(())())(((()))(()())()(()()())(()()())(()))()(((())()()()())(())()(()())())(()))(((()))(((())()()(())())(())(((())())()()(())()())((())(())(()()())()(()))(()()())(()()(()))())(()(()(())())(()))((()())(()()()())((()())(())()()(()()))(()())(()()()())()()(()()))((())((()))()(()()(()))(())(()()()())()((())()()()))((()()())(()())()()()()()())((())()()(()(())))((()()))(()()()()))(((()))()()(()()())(())((()()())()()())(())(()())(()(())))(((()(())())(())((())(()()())()()(()()(()())())())(()())(()())((())())(((())()(())()())(()())()()())(()()(()))(()))((()())()(()()))(()()(()()())()()(()))(()(())(()())()((())()(()))())(((())()()())()(())()((()))((())(())(()(()())())(()())((())()())()(()))(()(())()())(()()))(()(())())((()())((())())(())(()()())(()())((())()(()))())(()(())()()()(()())())(()(())(())()(()())))((()((()))()()(())()())(()())(())(()()(()))(())())((()(())())(())()((())(())())()()(((())())()())))
((((()())(())()())(()()()())()(()()()())((()())(())))((()())(()())()())(()()()(()())())((()(())(()())(()()(())())(()(()()))()(()()))(()()())(()()(())(()(())())()()()(()()))()(())(()((()))(()(())))((())(())())((()())())((()()())))((()(())()())(()(())())(()())()((())(()()())()(())(()()))()(()())(()(()())()()))((())()(())()())((()(())()((())))(()(()))(())()()((()))(()()(())))(()()((())))(()()()()())) (((()())(()())(()()())(((()))()()(()(())()()())()())(())((()(())(())()(()()()))((())()())(()())()(()()()())(()(()))(())(())(()))(()((())()(()))()()()((()))()((()))(()))((())()())(((()))()()(())))((()()()()())((()())(())((()()()))((())()(())()()()()(()()))(()()(())(())(()()))(())()()(()(())(())()()()))((())(())()(()(()))(()()()())())((())()())(()(())((())()(()))(())(()()())()(()))(()()()())(((()))()(())(()())(()()(())((())))(()()(())()())((())()()()))((())()())(()(()())()))(()()()(()()())(())((())()()()(())(()))(())()())((((())()()(()))(())(())(()(()())()()(()(())()())(())()()())(())(())(()((())())()(()())(()))((()))(()()()))((()(())())(()(()()))()()(())(())((()()()(()))((())())(())())()(()))(()()()()(())())(()(())(()(()))(()()()(()))(())(()()())((()))())(()(()()()()()(()()))()()()(()()())((()))(()(())))((()())((()))(())())((())()()(()))(()()(()()())(())())(()(())(())()(())))((())(())(()(()))(())(()((())()(()))(()))(()()()()()())(())())((())()(()(())()()()((())())(()(()()))())(())(()((())(()))()()()())(()()()(())(()())())(()()())(()))(((())(()(()))()())(())()((()())()((())()())()(())())())((()(())())(())(((())))(()(()())()(()))(()())()(()))((())()(()())(()(()))((()())(()))(()(()))))
(((()()(())())(())(()()()())(()())(()()())(()))(()()(()))(()()())((()(())()()()())(())((())()())(()()(())(()()())()(()())(()()))()(()())((()()(()))()()()(())())((())((())())(())(()(())(()))(()))(()()))((()()(()()())()())(()()()()())()(())(()()(())()(()())())((())(()(())(()))()(())()(()))())(()()()(()()())()())(()((()()())()()()(()()()()()))(()())(()()(())()(()))()(()(()))())((())()(()))(()()()())) (((())()(((()))(())(())()()(()()))((()()()))(())())(((())(())(()()))(()()())(()()(()())()())((())(()(()())())((())())()()()(())(())(()()))((())(()()(()))(()())(()(())()())(()()))((())()()(()()())())(()()((())())()()())((()()()(()(()))())()(())(()()(()())()()(()))(())(()())(()()())(((()())()())(())()()()()))((()(()()(())(())())(())(())(()()()())(()))(()((())()())())()(((()))()(()()))((())())(()())((())())()))((()(())(()()))(()(()()))(()(()()())(()())(())()()(()())(()()(())()(())(())))((())()()())((())()((())()(())())(())((())(()()))())(()())(()(()()(())())((()))(())()()(()()()((()())))((())()()())(()()()(()(()())()())()(())(())))(()(()(())()(())())()()((())(()))()())(()(())()))((((()))(()()())(())()(())(()()))(()())(()()()())(())(()()()()(()))(()())(())(()))((())(())((()()()()(()()))()()()(())()()())((()))((()()())((()()))()(()((())()())())()(()))(()()()(()))((()())()(()())()(()()())(()))(())((())()))((())(())(()(()()(())())((())())((())()(())())())(()())(())(()(()))(((()))()(()())())(()(()())()(()())(()()()())))((())()(()()())(((())))((())(())(()()))()()(()()()((()))()))((())(()())()(()()())()()(()()(())(())))(()(())((()))((())()())(()()(()())()()())()((())())((()())(())()())(())))
((()(()(())(()))((())())((()))(()())(())(())(()()))(()()(()()))(((()())((()))(()())()(()(()())()())())(()()()(()()))(()())()(())()(((())(()))()())(()()(()()(()))(()()))(()))(()()(()()()())()())(((())()((()))())()()(())((())(())())()(())())(()(()()())()(()()))((()())(())((()())()()()(()())())(()((()))(()(()())(()())(()))((())()()())())()(()(()()()))()((())()))(()()()()())(()()()(()())(())()(()()))) (((()()())((())(())(()(()()))(()(()))((())(()())())(()))(()(()()())()()(()()()))(()())(()()()()())((())())((()())())((()())(()(()()())(())()(()())(()))(()())(()())(()()())(())()(()()()))(()(()()())(()()())((()())(())(())()(())(()()))(()())((())())(())()(((())())()(())()()())))(((())(())())(()())()(()(()()())(()())(())))(((())()())()(()(()())()())(()()(()()))()(())()((())(())((()))()))((()()(()()(()))()())((()())(()((()))(())((())())()(()()())(()))((()(()))(()()())()()())()(()()(()(()())()()())((()())()()((()))))()(())((())(()())()))(()()(()()())()((())()())(()))((())(()())(())((())()(())))(()()())(()(())(())()()())((()()(()())()())(()())()(())(()())(()())(())(())())((()(())((())(()))(())())((()()(()()))(())()())((()())(()())()())(())(()())(()))((()()()())(())()))(()()(()())(()())((())()()(())()()())(()()((())())()(()())())(()()()))((()(()())(()((()))()(())())(())(())((()))())(()()())(()()())(()()())((()))((())()()()(()(())))((())(())()((())()(()))((()())((())()()))()())(()(()))(()()()()))((())()()()(()()(()))(()()()((()))(())()))((()(()))(())(()())()((())(()()()())((())()())()()((())())()())(()())(()(())()()()())((()(())()())()()(()()())()())(()()))(()(()()(()()))()()()()(()()())))
((()(()()()())()()(()))((()()(()())())(()(())(()()()))(())((()())(())(()()())()())((()()(()))(()(())(()))(())()(()())())(()(()()())()((())))(()()())(()()))(()(()()(()))(())()(()()))(()(()()())())(()(())(())()()())((()(())()())()((()()())()(())(())()())(()())(()((())())))((()())(())(()(()()()())(())()(())(())()(()))((())())(())(()()(()))()(()()(())(()())())((())()()))(()(()())()(()))((()())(())())) ((((()())()()(())())(()())()((()))(())(()()))((())(()((()))()())(()())()(())(()(()())())(()))(((())()(())())(()())((()(()))(()()(()())()())(()())(()())()()(())())(()())(())(()(()(()))()()()((())()()))(()(())(()()())()())(()()(()))(()()))(((())()())(()()(()))(((())(()()())()(()))(())((())()(())()(()())(()(()))(()(()))(()))(()()())(()()())(()()())(()())(()())(()(())(()(()()))()))((()(())()())((())()())(())(()()(()))()(())(()()))(()()(())(())((()))((())))((())(()()()))(((())(()())()()()(()()())()(()()()(())))(()())((())(())(()))(()())()(()()()(()))((()())()((()))(()())()())((())()))((())(()())()(())()())(()()()((()))((())())))(()(()(()))((())())(()()())()(()())(()()(())))(((()())(())())()()(()()(())(()()())())((()))(())())(((())())(()())((()())()(()())())(()()()()(()()()()()))(())(()(()())()(()())(())(())()((()()())()(())()))((()()))()(()(())()))((()(())()())((()((())(()))())((())()()()(()))(())()(()(()))(()())(()())((()()())(())())())(((()))(()(())(()()())(())(()())(()()))(()()(())()())()((())(()))((()()))(()))(()()(()))((()())(()(())())()()((())()()()())(())(()()))((()())(()())()(()()))(()(())()())(()()()(()()))(()()((()())())()(()()())()))((())(()())((())()()())(())(()()())((()))))
(((()(()))(()(())()(())()())((())(())((())())()(()()))(())(()())(((()))()()()(()))(())()(()))(()()()()(()()))(()()(()()()())(())((())()()(()))(()((())))()(()))(()(())((())(()))())(()(()())()())((()()())(()())()()(())())((())()(()())(())(())(()()()())(()()()))((()()()()())((()))(())(())(()()((())())()()(()())())((()())(()(()()())(())()())()()((()))()()())(()()()())((()))((()()())()()))(()(()())())) ((((())()())(()()((())()))(()((())())(())())(((()))((()())()(())(()()())()()())(())((()())(()())((())()))(()()()(()())())()()((())))(()(()())()()(()()(())))((())((()())(())())(())(())(()(())())(()())((()())(()(()())())(())())(()())((()()()(()))(())()((()())(()))(())((())())))(()()((()()(()()))()((())()))((())())()(()())())(()()()(())(()())(()()())(())(()()))((())()(()())()()(()())()))((()(())()()())(()((()))()(()))()(()()()()(())((())(())())())(()(())(()(()))()()())((()))(()()())(())(()(())))((()())((()())()(()(())((())())())((()))(())(()))((())(())(()())(())(())(()(())(()())()(())()(()))(()()()(()()())())(()()))(()(())())(()()()(())(()))(()()()(()))(((()(()))(())()(()()())())((())(()())(()())())(())(())(())(())(())(())())(()()())(()()(()())()))((())()(()(()())()())()()(()(())(()())())(()(()(())))())((())(()())(()(()))()()(())()((()())()()))((()()()())(()((()())()()(())()())(())()(()()()()(()))(()())()((())))((()))(()(())(())())((()())()()(((())()(()()))()())()(()))(()(())())(()(())()(())(())(()))(()()(()()))((())()(())))(()(()()())((()())()(()()(()))())()(()()(()(())()(()))())(()()))((()(()())())()(())(())(()())(())(()(())()))(((()()))(())(()()(()()())()(()))(())(()())()(()()())))
(((()())(())())(()(()())(()())(()))((()(()))()())(()()()()(()))(()()(())()())((())((())()(()))((())(())())((()))((()(())())()()((()())(())()(()))(()())(()()))(())((())(())()(())())(()()))((())(()()()()())(())(())(()()(())()())(()())()(()))((()(()()(())())(())()(()))(()())(((())()()())((())())()()(()()((()))())())(()(()())()(()))(()(()())()())(())()((()))(()))((()())()(()()(()))(())(())(()())(()))) (((((())())())(()()()()())()()(()(())())(()(())()(())()()))((()()())(())(()(()))(()())(())()((())(()())(()())(())))((((())()()(())(()()()()))((())()()(()())(()(())()())())(())()()(()(()()())()(()))(((()))()())(()()))(()()()())((((()))(()()))(())((())()(()))()((())())(()())()((())()(()()())()((())())))((())()()()(()()))(()(((()))(()))()()()(()))(((()))(()()())(())(()((())())))((())()(()(())(()))())((())()())(()()()))((())(())(())(())((())()()()(())()(()))((())()())(()))((()()(()())()(()))(())(()(()))()(((()))()(()())()(())()(()(())))(()())()(()()())())((()(()()()()()(()))((())()(()))(())(()()(())()(()()())(())(()))(()(()))(())(())(()()))(()(()())(()()()()())(()()()())(()(())()())(()()()()())((()(())())(())()()(()(()))((()))()())((()())(()()())()(())(()()())))(()()((()())())())()((())()(()()(()))(()()()()()())((()))((())(())))((()()())()())(()((()))((())())(()())()()(())(()))((())()(()))((())((())(())())()()(())(())))(()(()()())(()())(())(()(()())()()(())))((()()()())()()((())()(()))(()()()()(()))(()()())())((()())(()()()())(()()())(())(((())())(()(()()()))()(()())()(()()))(()(())()()(()))(()(())(()()())()(())())((())(()(())()()())()(()()())(())(()())((())(())((())()))())((()())())))
((()()()())(()((())(()()()())()((())())(()())(()())(())())()((()(())()(()))(())()(((())))(()()()))(())(()(()()))(()()()())(())((())(()()())(())()))((())(()())((())(()())()(())(()()))(()()(()))(())((())()()(()())())((())()()()((())())()(()))(()()(())))((())()(()())())((())(())()()(()())()(()))((()())((())()())()(())())((())(()))(()(()())()()()(()))(()(()())()(()())(())(())(()())((())(()())(())()))) (((()()()(()()))(()()()(()())()())(((())())()()()(()(()())()(())()())(()))(()()()()()())(()())(()()())((())()(())(())(()()(())))(()(())())())(((())(()())()()())(())(()())(())((())()()(())))((())()()(()()()()())(()()))((()())()(())()()((()())()(()()))()((())()(()())(()())))((()()()()())(()())(()()()()())((())(()))(()(()())(()()))((())()((())(()))(()))(()())(((())()())(())()()((())())(()())()()))(((())(()())((())(())()()()()(()()()))(()()(()(()())())()())(()(()))(()())((()))(()()())(()()))((())(())()()()())((()()())(())(())(()(())()))((())()()(()()))((()(()())()()(()))()(()()((())))(()()())())(()(()()())(())()()(()()))(()(())()()()(())())(()(()())(()())(())())((()())(())(()()())((())(())())((())()()(())((())(()()())())(()())(()()()))()((()())(())((()))()())(()()()((())())())((())(()))))(((())()())(()()(())())(()())()(()()()()(()()))()(()))((()(())(())((())())()())((())())(()()())()()()()(()))(((())(()(()))(())((()(())()())(())(())(()())(())(()()()(()))())(()()())(()())(()())((()))((())()((()))(()()())(()()())(())))(()()(())()())(()()(())(())(()))((()(())())(((())(())())())(())(()(())()((())()())())(())())((())(())(())()()((())())((())()(()))())(()()(()())())(()((())()))(()(()))(())))
(((()()())((()())(()(()))())(())(())(()())(()()()()(())((())())())())(()(())((()))())((()(()))()())((())(())()())((())()()(()())())((()()(()))(()())()()()(()))(((())())()()()(())())((()())(()())((())()()(())(()())(()))((())()()(())(()))(())(()(())(())()()(()()())()())((())())((()))(()))((()((()))()())(())(())(()(()()(()))()(()))()(()(()))(()())(()(())(()()(()()))()(()(())()()))(()()(()()())()()))) (((()()(())()((())()()())((()())())())(())(()(())(())(((())))(()())()())(()()(())())()(())((()())(()())(()()()))()((())))(()()(()(()(()())(()))()()())((()))((()))(()())(()()(())()(()))()())((((()))())((()))(()())(()(())(())()((())(())))(())(()()()()())(()(()()())()(())()(()()))()(()()()))((())(())((()())(()())())(()(())(())())(())(()()()(())(()))(()))((()()(()))(()()()(()))((()())()())()((()()())()()())())((()()(()))(((()))(())(()(())())(()()))(()()()(()()))(()((())())()(()())(()))(()(()()()(()))(()(())(())()()()())(())(())(()(())()(()))(())()())((()())()()())(()((()())())(())())((()())((()))((())())((()))((()())()()((())()))((())(())(()(()))(()()())(()))((()()))(()())((())()(()())(()(())()())()))(((())())(())(()(()())(()())()()(()()))((()())()(())(())()(()()))((())(()))(()())(())))((()(()()())()(()()()(())((())(()()))(()))(())()(()()(())(())()))((()()(()()()))(())()(())((()()())()(()))(())(()(()))(()()()(()())(()(()))(()(())()())((()())()))(()))(()())((()()))((())()(()())()(()(())()(()))())((())((()))()(()()())()((())()(())()))((())()(())()())(((())())()()())(()(()())()()))(((()))()(()()()(())())((())()())(()()())(()()))(()(())(()(())(()()()())()()(()()()))()()((())())(()()(()))))
((()()((()))((()(()())())()()()(()))(()()())(()())()(()()(())()))((()()())(()()())()(()()))((()())((()))()(())()()(()))(()()(()()))(((()))()()())((())(()())(()))((()())()()(())())(()(()()(()))(()()()()()())(()())(())(()(()())(())(()())())()(()(()(())()())(()()())()(())))((()()()((()))())(()()())(()())(()())((())()())((()())()(()(()(()))(()))())(())(((()())(())()()(()))(()())(()())(()()()))((())))) ((((())((()))())(()(())(()())(()(()))()()()())(()())(()())(()(())())()(()()(())(()()()())()((())(())()(())())(()))(()))((())((())()(()))(()())((()()))(())(())(()()()))((()())(()(())())(()())(()())((()(()))((())(())())((()())(())(())(())(()))()(())(()())(())(()()())())(()()())(((())())()()(())(())(())(()()()))(()()()())((())()(())()()()))((())((())()()())(())(())(()(()))((())()()))((()()()())(()()(()))((()()((())))(((())))()(()())(()())())(()((((()))(()))(())()()(()()())()(()()()))()(())()(()())((())())(()()(())()()(()())())(()))(()())((()())()()(()()(()))()(()()))((())((()(()))()()()(()))(())(()(()))(()())()(()()()())(()()))(()()(()())())(()(()()())()((())())))(((())()()(()))(())()()(()(()))(())(()()()())())(()(())(()(()))()((()(()))())()(()())())((()(()())()()())((()(()))()(())())((()(()))(()()()()(()))(()()(()))(())()()(()()()()()())()(((())()())(())((())(()))(()()())))((()())((()())()(()))(())(()())()(()())())(((())())(()()()()(()()))()())((())(())(())(()())(()()()())((())))(()((())()()()())()((())((()))(())(())())((())()(())()()(()(())(())())(()()(())()()()))(())(()(()))(())((())))(()()((()))()()())((()())()()(())))(()(()())((())((()))()()())(()())(()())((()()()())(())()(()))))
(((())(()())()(()()(()())(()))(()())(()()()())()((())))(()(()()(()()))(((()))()()(()()(()))())(()(())())((())()()()(()))(()()())()()(()()()))((())(())()(())()()()()())((())()()(())())((())()()()((())))((()()())(())()()()()()(()()))((())()(()()())())(((()(())()(()))()((())()()())()()(())(()(())())())(()(())((())()))((())()())(()()()()())(()(())())(()()()())(()()())(()()(()))(()()()))(()()(())(()))) (((()()(()))(()()())(()())(()(())(()())(()()()(()())())(())(()())(())()(()))((()))(())((())()()()(()(()()(()))(())()())(()()()))((()()()())(()()())()((()))())(()()()))(((()()())()((())(())(())())(()(())(())(()(())(())))(())((()())()()()()(()())()))((())(())(()))(()(()()()())()())(()(())(()()))((())(())(())((())()()()())()()(()))((((())))((()(())())(()())()()(())(())(()()))(())((())()(()())()(()()()()()(()))()(()()()())(()()))(())(()())((()))(()()())(()(())(())((()))(())))((())(())(()())()(())(()()()()())((())()()))((()()())(())(()())()()())((()()())()()(())()))((()(())())((())((()))())(())(())((()(()))()()()()())(())())((()())(()()(()()))((())()()()(()()))()()(()())(()())(()))(((())()(())(()))(()())(()(()()())(())())((()())()(())((())()()()(()))((())()(())))(()()()()()())(()()(()()())(())())((())(()(()))(())(()())())((()())((()())()(())()(())())((()))()(())(((())(()))()()()()())(()()()()))((())()(())(()()())))(((()))()(()(()))()(()(())())()((())()(()))(()()()()(())()))((()(())()()(()())(())(())(()))(())()()(()(()())(())(())(()()))(()((()()))(())(()))(())(())(()()()()))((()())(()()()(())(()())())(())()(())(()()()())(())())(((())()())(()()()(()())())()(()())()(()()(())())(())(()())))
((()()()(()())(()))(()(())(())())(()())((()()()(()()))(()((()))(()))(()()())(()((())))(()())((())()()(()))(((())())()(()((())()))()((()))()()())(())(()()(())))((())()(()())())((()())()(()()())()(())(()()()())(())((())(())(()())))((()()()())(()()())()()()()()())((()()((()))(()))(()(()())(())((())()()())())((())()()(())(()))(())(()()())((())(()())()(()())()()())((()())())(())((())))(()()()()()(()))) (((()()()())((())(())())()(())()((())(())()(())()(()))(()()()))((()()())(()()())(()(()(()())()()()())(())()(()()())())(()(()))((())((()(()))())(())(()()()(()())))(()()()()()()())((()()()(())(()))()(()())(())(()()()())((())(())())()(()()()(())))(()((()))()())((()(()()())(())(())()())(()()())()((()()())())(()(())())()(()(()())(())()())(()()(()()))))((()()())(())(())()((()(())())()()(())())(()))(((()()()())(())(())()()((())())())()(()(()))(())(()()())(()()((())))()(()()()))((((())((()))(()))(()(()()))(()(())()()()((())()))(()()(()))()(()())()(()))(()(()()())()()(())(())(((())())()()()))(()()(())(())(())(()()()()))((())(())()())(()()(())(())()())((()())(())(())(()()())(()())(()()()(())))(()(()()(()()()()())(()()())(()()(()))(()()()))()(())(())(())(()(()())()()(())()(())(()()()))(()()(()())()()()())((())()))(()(())()()()(()())())((())()))(((())(()()())(()())()(()(())()()))()(()((())()()(()))()(())())(())(()()()()()())(())(())((())()()))((()())((())()(()()(()))()(()))(()()())(()())(()(())(()()()()()(()()))()((())())()((()())))(()(())())(()(())()(()())(()()(()))((()())(()))()())(()()))((())()()(()()(())(()())(()))(()(()))(()()))((())()(()(()())()(()()))(())()((())()(()))((())()())((()))))
(((()()()())(()()())(()()())(()(()(()()))()(())(()))(()(())()(()())(((())))()(()))(()()(()))()(()())(()))((())((())(()()))(())((())()()(()))()(()))(()()()()()())(()(())()(()())(()))((()((())()()(()))())(())((()())(())()(())(()()))(()()()())(())((()())()())(())((())()(()()()()))(()()))(()()()()())((()(()))()()()(()())())((()())(())((())(())()())()((())))(()()((())(())()(()()))(())()((()(()))()()))) (((()(())()(())())()((()))(()()())(())((())()(())((()))())(()))((()())((()))(()()()())(()()())(()()(())((())())()()())(())(()()())())(()()()()((()()())(())()()()(()))(())(())((())))((()(())())(()()()()()())((())(())()()()(()))(()()))(((())(())(()))(()(()(())(()()(())())(())(())())((())(())((())(())())()(()()()()())()())()(()())()(()()()))((())()(())()(()))((())(()())(()()()()))(((()())()()(()()))()((()())())(())()((()))(())(()(())))((())()()()((()()())()(())()))((())(())((()))()()())((()()(()))(()()()(()))()(()()((())))(()(()())(())()(()(()(()))(()()))()(()()))(())(()())(()()())(()()()(())(())(()()())()))(()()(())(()())((()()))((())())(())))(((()())((()))(())()()()(()(())))(())((()))()(()()(())())()(()(()())()(())()(()()()))(()()()())(()))((()(()())())((())()(()))((())()(())()(()(())()((()))())()(()())(()(())()))((())())((())()(())()((())()()())(())(()()()()))(()()(()()())(())()()(())(()()))(())())((()()(()())())(()(())()(()(())()))((()())())(()(()()()()(()))()(())(()())()(())((()())()()()))((()())(()()(())())(()()())((())()(()(())))(()())(()(()))())(()(()()(())())()(()()(()))()()(()()())(()))((()(()))()())(()()()(()))((()()())()))((()())(()())(()(()))()(())(()()()()()(())())(())))
(((()())((()))()(()()(())(()())(()()))()()(((())())()()()(())(()()))(()((())())())())(()(()()()(()())(()))()()(())()(()))((())()((())(()()))(()()(())(()))((())(()))()())((())()()()()())((()())()()()(())())(()()(()())())((()())(())(())()(())())((()()())(())((())(()()(())())()()()(()()))((())()()(())())((())())(())((())(()))(()(())((())()()()(()))(()(()))(()())()((()))))(()()()((())(())(()))(())())) ((((())(()()())((())(())()(())()())()(())((())()()))(()(())()()()(()()(()())))(()(()(()))()()(()(()())()())(((())()())(()())()()(()(())))(())(()()(())()((()))(()())))(((()))()()())(()(()()()())(())(())())((())()(())()())((())(()()()()(())()()(()()))(()(())())(((()())(())()())()(())()()(())())(())((()()(()))()()(()))(()()())(())(()))(((()))()()()(()())())(()(())(())((()))))(()(()(()()())(()(()))())((())()())()()()(()()))((()())((())()()(()()))(())()(((())())(()))()(())())((()()(())(()))()(())(()(()))(()())(())(()()()())(()()))(((())((())))()((())()())(())(())()(())((())()()(()())(())(()))((()())()(())()()()(()())))(((()()(()))()((()))(()())(()(())())()(()))(()()(())()(()()))((())()())((())(())())((())()(()()())())(())((())()())((()()())()()(())((())(()())(())())((())())()()((()())()(((()))()))))(((())()(()(()()()())(())()(())((()())())()(()))(()(())())((()))()((())(()())())((())(()())()))(()(()))(()()(())(()()())())((())()(())()())(()()(()))(()(()())()(()))((()())()(()))(((())()()())(()(())())(()())(())()()(()())(()))(()()((()()())())(()(())(())()())(()()()())(()())(()())))((())(())()(()()())(()()(()())((()))()())(()()())(())()())(()(())(()(())())(())(()())((()()())(()()())()(()))))
(((((()))()()(()))()((()())()()(()()()))()((())(())()(()))(()())(()()(()()()))(()()(())))(((()))((()())(()())()(()())())(())((())()(()(()(()))()()())(())(()(())))(())(()()())(()())((())()(()()))(()()))(()(())(())(()())(())(()))(()()()()())((())(()()()())(()))((()()())()((())()))(((())())(())()(()())(()())(())(())((()))((())(())()))((()()()())()()(()(()())(()())())(()()()(()()))())((()())()()(()))) ((((()())()()(()))(())(()(()))()()()((())()()())(()()(())))((()()(()))((())()(()(()))(()()()())()()((())))(()(()()()))(()()(()()())(()())())((()()())((())()(())())()(())())((()()())((()()())()(())()())()()()(((()))()()())(()()())())((()())(())(())(()()(()))(())(())((())()()())((()())(()())(()(())()()())(())))(()(())())((())()()()))((()())()()(()()())((()()()())(()))()()((()()())()(())()()()(())()))((()(()())())()((())(()))(()(()()(()))()()(()())((()())()())(()))(())(()()()(())(())(())())(()()()())(()()(()()()))((()(())(()()()()())()(())())(()())((()))(()())(()()())()()))(()()((()())()())(())(()()(())()())()(()()())())((()(())()()(())(())()())((()(())(()()()))(())((())(()))()((())(()(())())())((()())()()(()()())(()())(())()())(()()(()))(()()))(())((())(()(())(())())((()())(()()))()(()()))(((()())((()))()())(())(()(())())(()())(()(())())()(()()((()())())()())())((())(())(())()())(()()(())()(()))((())(()())(())()(()))((()())()(()()(()()()))(())(()())()(()())(()(())(()))))((())(()())()()(()(()())()()(())(()()())())((())()(())(())(()()()))())((()())(()()())((()))(()())(()()())(()(())()()()()(()()))((())()(()()()()(()())()(()))(()))((()())()(())()(())()))(((())())()(())(()()()())(()())))
((()(()()())(())((()())(()()()))()()())((()()()()()()()((())()))(())(()()(()))((())()(()()()()())()(()()())(()())(())(())())()()(()(())()(())()()(()()()))(())((())))(()(()(())(())()())(())()((())(()()()(())())((()))()()())()(()(())(())((())(())()))(()()))(()()())((()())()(()))(()(()()()())(())())(((()))()()(()())(())((())()()()(()))(()()(()())())(()()))(((()))(())((())()())()(()))(()(()()(())()))) (((()())((())(()()()(()()()))()((())()(()()))(()(()())())()()(()()))(()(()())())((()(())()())()(())()((())()()((()))(()))()(()))(())(()())((()())(())(()()())())(()())(()))(()(())()(()())(()())(()()()(()()())())((()))((())())(()()()))(((())()()(()))(()(())(()())(()()(()()())()())((()())()())(())(()()))(()(())()())((()(()())())((())())((())))(()()(())()((())))(((())(()(()())()())()())(()()((())())()(())())(()()())(()()())((())()(()))(()())((())()(())())(()(()))((()()()(()))(())()(()())(()()())(()())()))((()())((())()(()())())(((())())()())((())()())(()(()()))()(())(()(()()())()(()())(())()()()))(()((()()))((())))((())(())()))(()()((())())(()()(()())(()))(()()()))(((())((()()())()()()()(()))(()()())(()(()))(()())((())())())(()())(()(()())()())((())(()()()(()())()())()(())(()()(()))()(()()()()()(())()))(()(()))(()(()(()))()(())(()()(()))(())()())(()((()))()(()())())(()())(()()()(())))(((()))(()(())(()()())(())(())()())(()()())(()())((()())(())()()(()()))((()))(()(())((())))((())(())(())())((())(())))(((()()(()))(())()(())(()))(())(()(()(())))(()()())(())(()(())())()())(()(())((())()()(()())()()(())(()()))((())()()()())()()(()()(())))(((()())(()))(()())(()()()(()))()(()()())()(()(()))))
(((())())(()()((())()()(())())(((()))()()(()())())((())(()))(()()()))((())(()()()()(()))()()()(()())(()))((())(()())())((()())(()())()()())(()(()())(())()()())((())(())(()()()()())((()(())())(())(())(())()()())(())(()())((()())(()(())(()(())()))()(())(())(()()(()())()))((()))(()(())))(()()(()))(((())()()()())(())(()(())(()()()))()(())(()()()())((()(()()))()(()(())()(()))()(()())((())))(())(()()))) (((()())(())(())(()()(())(()))()((())()())(()(())(())())(()()))((()()())((()())((()))()()())((()()()))(())()(()())(())())((()())((()()())(())()())(())(()())(()())()((())(()())()((()))()()(()))()(()((()))()(())(())()))((()()()(()))(()()()())(()()(()())(())(()))(())(())((())()()(()))())((()()(())(()())(()()()))((())()(()(()))()(())())((()())(()()())(())(()()())(()((())))(())((())()()())(()))(()(())()()(()()))((()())((())()()())(())(()()())()(())((())(()()())(())(())()((())()))(()(())()(())(())(()))(()(())()))((()()(()()()())(())(()()()))((())(()()())()()(()())(())())((())()(()))((()()))(()(()))(()())())((())(()))((()()())(())()()(()())())(()(())()()))((()(()))((()())(())((())()(())(())(()()())((())())())(()(()(())()())()()(()())(()))()(()())(()(()))()())(()(())(()())((()))()())((())()())((()))((()())()(()())())(()()(())(())()(()()(())()())(()))(()()()((())()(()()()))((()))()(()()()()(())(()())(())))(()()()))(((()))()((())())(()()())(()()())(()()(()))(()))(()()((()(()))())(())()(()()()(())(()()())())(()()())()())((()((()()))(()())()(())(()))((())(())())(()()()()(()()(())()())()(()()()))(((())()()()()(())())(())(())(()()()())()(()()()()(()())(()))()())(())(()()()())(()())(()())(()())))
((((())()((()())))((()())(())((())(())())()()(())()(()()()))(()(()())(()()))()(()(()))(()())(())((()()()())(()))((())))(()()()()(()))((())(()()(()())()()())((()()())(())(())(()))()()(()(()(())(()))()((()))()())(()()()(()))())((()())()()(()(())((()))())()((()))(())(()))((())()(()(()))(()()()))((())(())((()())()(())())(()())(()()(())()())(()())())((()())(())(()))(()(())(()))((())()(())()((())())())) (((()())()(()())(())((())()())(()(())(())())(()())(()())(()()))((()(())())((()())()(()()()()(())(()))(()))((())(())(()))((())()()()())(()((()())()()((()))())()(())()((()())())(()()(()))(())((()())()()(())()((())())))(()(())()()())(()(()))((())(())((())()())(()()(()()))((()()())()(())()(()))(())(()))((()())()()(()()())(()(())())(()()(())(()))))(((())()((()))(()))(()()()()()())((())())()(()(())())((())(()())(())(()()()(()()))())(()((())())()()(()))((())())((()())()((())()((()))()(()))(()(()))(())(())(())((())()()())()))(((())()(()))()()(())(()()(()()))(()(()())(())())()(()))((())((())(())(())(()()())()())(()())()(()())()()((())(())))(()(()()(()))(()())((()())(()))(((())()())(())()))(((()))()()(()()((()))())(())((()())())()(()((()))())())(((())()(()())(()()))(()(()())(()))(()((()()())()())(())(()(())())(()())()())((()())()(()(()))()(()))((()()(()())()(()((()))(()))()())()(()())()(()(())(()()()(()))()()(()()())())(()())(()()(()))(())(()()()()()()()))(()(())()((())()(())(()))(())(())(()((()))(())()(()))()(()()))(()(())(()())())(()(()()()())(())()(()())()())(()((()))()()()(())))((()()())((()(()())())()(()(())(()))())()(())()(()()())()(((())()(())(())())()(()()()())()(()))(()()()()(()))))
(((())()())(((()))()()())((()()())()(()()(())())(()((())))(()()()((()())()(()()())(()))((())()())(()))(()(()())()(()())())(((())())(())()())()())(()())((()())((())()())()(()()((())())()())()(()))((())()((())(()())())(()(())()())(()()())(()()()())((())())())(()((()))()()(()()(()()))())((())()()()(()(())())(()))(()((())()(())()(()()()))(()())(((())()())(()())((())(()))())(())(())(())(()()())((())))) ((()((()(()())()(())()())(())(()(())(())())(())(()())((()))()((())(()(()))(())()(())(()(())()()))(()(())()()()))(()(())())(()()(())())(()(())(())()())((())(()(())()((()())())()()(()))(())(()()())((())(()))()(()))((()()(())(())())()()(()())()())((())(())(()()()())()()()(()(())()()))((())()(())()))(()(()()(()))(()()(()()(()))()())()((())((())()(())(()))()())(()))((()(()))((())((()))())()(()())(()(()()()()()())(())(())()((())(()())))((()()())()()())(()())((()))())(()(((()))()(()))(()(()))()((()())())(()(()))(()))(((())()()()(()))(()((())()(()()()(()))((()))(()))((())(()()(()))()(()()))((())()()(()))(()(())(())()())(()())()(())(()))(()(()(()()))((()))(()()())(()(())()())())((())(()()())()()())((())(()()())()())(()())((())(()(()())())()(()(()()()(()))()(()))()()((())()()()))(()(()())(())(()())((())()(())()(()))(()()()(()(()))((())()()())((()))(()))(())(())((())(())()))(()()()()(())))(((())(())(())())(()())((()())())(())()(())(()))(()(())(())(())(())(()())((())()()()(()))(()()(())))((())((()()))(()(())((()))(()((())))()((()))(()()()()((()))))((()())(()()()(()))(())(()())(())())(()()(()())((())(())(()))())(())(())(()()())(()(()(()))()()(())))((()())()()(()()())(()())(()())(()((()))(()))))
(((())()()()(())()()())(()(()()())(())(())())(((()))((()())(())())((()))(()())()(()()())(()))((())(())(())((())(())(())()()())((())(()())()(())(())()()((())()()))(())(()()())(()))((((()))((()))(())(())())((())((())()())()(()()()(()))(())((()()())())())()(()())((()())(())()(()))(()()())(((())()())()(()())()())(())())((()(()))(()())()(()(())))((())())((()()())(())(()(()))()()())((())()(())(())(()))) (((())()(())()(()(()))(()()()(((()))))())((()())(())(()(())())()(()(())()(()))()()(()))(((()(()())((())())(()()))(()())(()())()(()(()()()()))(((()))()()(()()(()())))(()()()))(()()(())()(())(((()))(())()())(())(()(())()()()))(((()))(())()())((()())()()(())(()))(()()(())())(((())()())(()())((()))((())(()(())()(()))(())(()())())(()((()()))()()((()))((())()))(())(()(())()(()))(()()(()()())(()))((())()()()))((()())(()()())(()())()(()())(()))((())(())())((()()())(())()))((()())()(()())()(())(((())()()))(()())((())(())(()()())(())))((()(()()()())()()(())())((())((()()())())((())())(()())(((()))((()))(())()()(())(()))(()())((())()()(()(()))())((()))((())()))((()())()()())((())()()()())(()()()(()))(()()()(()))((())()()())((()()()()())(()())(()()(()())()(()()()())()(())(()())())(()())()(()(())()(()()))(()())())(()(())))(((())()())(()()(()())(()())(()))()()(())((())))(()(()()(()(())())()()())(())(()())(())((()())(()()()(()))(()()(()))(())())(()(())()(()))(()())(()(())))(()(())((()())()()(()()()()))(()(()))((())(()(()))(()))(()()()))((()()(())(()()())(()())((()))(()(()()())())())(()()(())(())()(()))()(()(())(())())(()()(()()())(()())())(()(())()(()))(()()())(()()(()()()))(()(())((()))()()())))
(((())((())(()()))((())(()(()))(()()())()(())(()))()(()())(()(())(()()())()()(()))((())(())(())()())(()))(((())()())(()()())(()())()()()()(())())((())()()(())()())(()(()())()()(()))(()((()())())()()()((())())(()()))(()(())()()())(()(()())((()())(()())()()()())(()())(())((()(()())()(())(()))(()()()()())(())(()()))(()()()()())(()()()()(()()(())))((())()()()))(()((())())(())()()())((()())()(())(()))) (((()((())())(())()(())()())(()((()))()((()))(()))((()())(()()))(((()))(()())(())(()(()))(()()(())()(()())(()()))(()(())((())(())())(()()())())(())())(()(()())(()(()()))((()())(())()())(())(())(()()(()())())())((())(()()(()())())()(()())()((())()()))(()()(())())((())(())(()()())())(()(())()()()(())))(()()()(()())(()()(()))(())(()(())()())())(((())(())())((())()(()()))(())((())()(()())(())(((()))()(())(())))(())(()(())(()())()()(()()))((()()())()(()(()())())((())()()(())))(()()()())(()()))(((())()(()))((()(()()()(()))(()))(())(())(())(()(()())())(())((()()(())())()(()()(()))()())(()))((()()())(())())(()()((()())())((())()())()((()(()))()())()())(()()((()))()()(()))((())(())()()(()()))((()(()()))(()()(()))(())(()()(()())()(()))(())(((())()())()())(()(())()()((()))(()()())(())(()()))(()(())))(()(()))((()()(()))(()()())(())(()())(()())()))(((()()(()))()(()))((()())(())()(()()()()))(())((()())()()()())(()())()())(()(()())((()())(())()(())(())(())()(()()()))(())(()(()()())()((())())())(()()(()())())(()())(()()()())(()()()))((()()())(())(()(()))(((())()())(()()()))(()())()(()())())((()(()))(()())(()())(())()(())((()))((())))((()())(())(()())(((()))())(())(((()()()))(())((())))()(()()())))
(((()())()()()(()(()(()())())))(()((()))(())(((())))())(()(())(()())()(()()())()()((()())(())()))(((())()()(()()))()()((())())()()()((())()()))(()()()()(()(())(())())(())())(()(()()()())())((()())(()()()())(()()()((())())()()())(())()(())(()()()(()()())))(()(()(()())()(()))((()()(())())(())(()())(()(()())()(())())())(())()(())()((())()(()())()(()())(()))((())()((()))()()))(()()(()())(()())(()()))) (((()(())(())())(()()()(())((()))()(())())(()()((()())(())()()()())()(())()(())(()()((())(())()))(()()()()))(()()()((())())()())((()(())()())(()(())(())(()))()(()()()())()()())((()())()(())()(()()())(())((())()())(()))(()((()))(())()(())(())(()()))((())(())()()())((()(()(()))())()(()(()()()())(()())(()())())()(()()()()(())()(()))(()()())()()(())))((())((())()()())(()(())()()(()()()))(())(())()(())(()()()(())())())(((())()()())(((()))(()())(()())()())(()()(())())()(()())(())(()()()))((()()()()(()))()(()())()((())(()()())(()))(()())(()(()))())((()(())())()(())((())()())(())(())())((()()((())()()))((())(()(()())(()())()())(()())(()())(()()(()())(()))(()))(()((()())(()())()(()())()()(()))(()())(())((())(())(()()))(()())(())(()(())(()())())(()))((()())())(()(()()())())(()()()(())(()()()))((()())()(()())()(())(((())())(()(())()()(())))(()(()))(()(()()())(()()())()))(()(())()(())())(()(()()())()))((())(()()(())(()(()()())()(())()())())(()())(())(()()(()())(()()))()(()()(()))((()())()(()()()())))((()())(()()()())((()))()(()()(()())())(())())(((()(()))()(())())()((())(()())(()()())()((())())()((())))(()()(()())())(()((()))(()(()))(())(()(()()))())(()()()())(()()()()(()))(()(()))(()()()())))
(((())(())())(((()))(())())(((()())(()())()(()(())()())((()())(())))((()))(())((()))(()(())())()(()(())(())())()(()((())()()()())((())())(())()))((())()(()()()(()))(()())()(())())(()()()()()(()()))((()()(())()())()()((())()()()(()))((())())(()(()()()(())())(()())()()())((())())(()()(())())(()(())))((()())(()()(()()())(())())(())(())()((())()())(()()))((())(())()(())(())()())((())()()(())()(()()))) (((()()()()())(()()()(()))(()()()())(()()(())())((()()())()((())()(())((())())())()(())((())()(())()())(())((())(())())())((()()())(((()))(())(()))(())((()())()())(())())(()()((()))(()()))((())()(())(())())(((())(()))(()())(()())()(())()))((((())())(()()()(()())(()))(()(())())(())()(()()())())((())()(())())((()()()())(()((()))(()()())(((())())()())(()()()(())())())((())(()()))(()((())())()()())(()()())(()())((()())()(()())(()()))(()()()))((()()()(()()))(())(()(()))(()()()(()())(())())((())())()()(())((())(())(())(())()((())(()))((()))))((()()()())()())(()()(())()(()))(((()))(())(()()))(()(()()()())(()())(()()()(()))(()(()))(()))(()()))(()(()())()(()(()))(())()((()())()())(()()()))((())(()()(()()(())(()()))(()()())(())(())()((()()())))((())(()()())(()())())(()()(())()())((()()()())(())((()()())())()((())(())()()))(()()())(()(())(()())())(()())((())()))((()()()())((())()())()(()(())(())(())())(())(()))(((()()())((())())())()(()()(())(())()())()(())((()))(()()()))((()(())()())()((())()()()()(()))()(())()((())()()())(()()))((()()())(()()()())(())((())())(())(()())((())()(())()(()())())(())((())()(())()((())()(()())(()))(()())(())))(((())())(())(())((()())()(()))(())((())(()))(()())()))
((()()()(()()))(()()()(()())(())(()))((()())(()(()))()(()(())())())(()((())())()()())((()())(()()())((())(()())()())(())(())()(())(()())(((())())(()(())(()()))()(((()))())(()())()))((()())(())(()())(()(())(()()))(())(())(()(()())())()(()()))(()()())(((()))(((()))(())(()(())())()(())())(()()()()(()))(()()())(()()()()())(()()(()))((())(()())(()()())()()(()())())((())()())(()))(()(()()(()))()((())))) ((()(()(())()(())(())())(()(()())())((()))((())(())())(()))((()(())()()(())(()()())())((()()()())()(()))(()()()(()())(()(()))(()()))(((()())()(())()(())(()))(()())(())(()())((())(()(())())()(()()())(()()())()()(()))(((()()))()())((())())(()()())(()(()())()()))((()()()((())))((()())(())(())())(())()((()))(()())(()()())(()))((())())(()()()(()))(()()(()())(()())(())(()()()))(((())((())())()())(()(()()())((()))()()())(()(())(()()))()()(())()()(())))((()())((()())()())((())())()(()())(()())(()())()())((()())()(((()))()()())((()())()(()(())(()))())(())(())(())(()()()())(()))((()()(()()))((())((())(())())(()(()(()))()(()()))()(()())()((()(()))(())(())(()()))(()(()()))())(()(())(()()()())()(()()()()(()))(()())(()(()()))(()()()())(()))(()())(()()())(()()()(())((())())(())((())())()(()()))(()()(()()())()(()()))((())(()())())(()(())()()))((())(()((()))(()())(()())(()()))()(()())()(()(())()(())(())())(()(()))()(((())()()())(())(())(())()()))((())()(())((())()())(())(()()()()(()))(()()))((()()())((())()())(()()()(()()()()))(()(()()(()()))()(()))(()())((())(())(())(()(()())()()()()())(()())((())()(()()()))(()))((())(()))(()()()()()((())(())())))((())(()())()()(()()(()()))(())()()((())()(()()))))
(((()(()())()())(()()()())(()()()()())(())(())(())())((()(())()())()((()))((())()()))((()(()))()(())(())())(((())(())()())((())((())(()))()()(()()())(()()()(()()(()))())(())(()()))(())(())(()()(()()())()(()()())(()(())))(())((())()(())(()()))(()()))((()(())())(()()()()(()())(()(())))()(()())((())()(())())((()))(()(()()))(())(()))((()())(())()())(()()())((())(())()(())())(()(())()(()())(()())(()))) (((()()()())(()()()()(())(()))(())()(()(()()))(()()()())(()(())((())()())((())())(())())()())(((())(())(()))()((())()(()())())(()(()))(()())())((((()(()))()(())())((())()(())(()))(())((())())())(()()()()((())()))((())((())())()()(())())(()()())((()())()()())(()(()))(()((())()))(((()()()())((())()()())()(()()))((())())(((())())()())(())((())()())(()()())((()())()())((())()(()())()(())(())()))((()()())()(()())(()()())))((())((()))(())(()())(())(()()(())(())(()))(()()()))((()()(()())(()()))((())(())(()()())(()())(())()())(())(()(())())(()())((()())((())())()()(()())()(()())(()()()()(())))(()()(()))(()(()())()()(())((())())())())(((())())(())((())(())(())())(()(())()()(())())(()())()()(())(()))((((())(())()()())(())((())())(()(())()()()))((())(()())(()()())((())(())((())))(()(()(())())()(()())()(((())())())())(())(((()))()())(()()((())()()())()()((())()()))(()(())()))(()(())(())())((()())(()())(()((()))())(()(())())()(()(()(()))(())(()))(()()((())()))((())(()()())()))(()(())()()())(()()(())()(()))(()(()(()()()))()((()))(())(())((())()()()))(()()(()())(())())(()(())()()()))(((()())(())(()())(()))()()()(()()(())(()))(()(()))()(()))((()(())()(()))(()())(()(()())()()())(())()(()(())(()))))
(((()(())(()())())((())(()())()(()))()(()()(())())(()()(()()))(())())(()(()()))(()((())())((())())(()))(((()))()(())())((()())()((()))()(()()()))(()()()(()(())))(()((())((()))()())(()()(())()(())(())(()()()))((()))(()()())()(()(()())())((())()(()())()()(()()(())(())))())(()(())(()())(())()(()))(((()()()()(()))()()(())(()()))(())((())()())(()()(()))((())()())(()())(((())())()(())(()())()())(()()))) ((((()()())(()())(()())(()()()))(())(())(()()(()()))((()))(())(()(())(()))(()()(())(())()()(()())())((())))(()()(())(())()(()()(()())(())()())()(()()()(()))())((()()(()()())()())((())(()()()(()()()()))(())(()()())(()()(()()(())()()))(()())(())())((()()())((()(()))(()))(()(()())(()))()(())((()())()()())())(()(())(())())((())()()(())())((())(())(()()())(()())((())()()))((()())()()(()()())(()()()))((()())()(()(()))()())((()()(()))((()))(()())((()()())()(())(()))(((())(())()()())(())(())(())(()))((()()())((()))()(()()(()))()(()()))(())(()())((())()())))((())(())(()(()())(())()(()))(())(()()()()())(()(()))((())())())(((())()(()()())(()())((()(()))(())()())(()))((())())(()()())(()()(()()())(()(()()(())))(())(())()(()))(()())(()()()(()))(()(())()())(())(()))((())()()(()()()((())())())(())(()())((()()())()(()())))((()()()())()()(())()()(()()(())(())())())(((()()()())(()(())()()())(())())(((()())(()())()()())(()())()()()((())(())()()()(())(()))(()()())((())()(())())(()()))(()(()()))((()()())(()())()(()()()()()()()(()(())))(())()(())(()()())(()()()))(()(())()(()))((())(()())()()()(()(()())))((())()()()())(()()(())()()()(()())())((()(()))()))((())(()(())())(())(())()((()())()())(((()))(()))))
((()(())())((())(())(()())(()()())()())(()()(())()(())()())((()(()))(()()())(())(()()(()())((())()(()))(())())((())()())(()()()())()(()()(())())((()())()()()(()()()())()))(()()()(()))((())(()())()()(()()()))((())((())()()()()(()))(())(())(()(())())()(()())(())(()()(())()))((()()()())(()()()()(())((()()))()((())(())()()))(()())(())((()))()()((()())(()())()()()(()))(()()(())(())()()()))(()()(()()))) (((()()())()(()())(()())(()())(())(())()(()()(())()()))(((()())()(()()(())(())(()))(()((())()))(()()(()))(())(())())(()(()))((())()(()()())(())(()(()())()())(())())(()()()(()())())((())()()())(()())((()((()))()())(()())(()()())((())()()(())(()(())))(()()()()())()(()(()))(()))(()()())((())()()(()()())(())))(()(())(()())(()(())()()())(())(())(()))(()((())(())()()()((()))(())())(())(()())(())((())(())(()()))((())(()())()))(((()())(())()(())(()()(())(()))()())((())()(())()(()()(())(())(())(()()()))(()(()())())((())()(())))((())()(()))((()())()(()())((())()()))((()()()())(()())()()())((()()()())(())(())(())(()(())(()()()))(())(((())())((()))()(()))(()())(()()))(()()(())()(())(()))(()()((())())()())((())((()()()())())(((()))()(())(()(()))(()())(()()()()))()((()())(()()()())(()(()))()(())()())(())(()())()(()()(()())())))((()())()()((())((()))())(()()())()())(((()())()(()(())(()(())))(())((())()())()()(()()))(())()(()(())()()(())())(()()(()))((())()(()())()(())(()()()))(()((())(())((()))())()()(()()()())(()(()()())())(()))()())((()((()))())((())())(()())()(()()())(()()()((()))(()()()()())())(()(()()(()))()()()()(()()())()))(((())()(()())(()))(()()(())(()())(()))()()(()()())(()()()())(())))
((()()(())(()()(()())(()()()))(())()())((())()(()(())())(())((())())(()(()())()()(()))((())()()(())()(()))((())(()())()()((()())))(()))((())()(()))(()()((())(())())((())()(()))(())((())())(()()(()())())())((())()()()())((())()())(((())(())()(()))((()))((())())(())((()())((())((())())())()(()(()))()(()()())())(()()((()))(()))(())(()())((()())(())(())()(()())(()())()))(()((())())(()())())(()(())())) ((((())()())(())()()(())(())(()(())))((())(())(()()())(())()()(()())((())(())()()()()))((()(())())(()()((()))()()(()))(()()()()()())(())(((())()(()))()(())((((()))())())(())(())())((())()()(()())())(()(())()()())(()(())(())((()())()()(()))(()())(()()(())()()))((()())(()()()((())())()(()()))(()()())(()())()()(()()())(()()()(()())(())()(()()))(()())))(((()))(()())()(()()()())(())((()())(()())(())()())((())(())(())())()(()))((()())(()())(())((())()(())(()()()())()(())(())())(()()(())(()()(()))((())()(()))(())()())((())(()(())())()()(())(())())())(((())(()()(())(())()())(()())(()()(()(()(())))()(()))(()()(()))(()())(()())(()))(()((())())()()()())(()(())(()())(()))((()()())(()())((()))(()())(()()()()(())(()())())((())(()())((())()()())(())()(()()))((()())(())())()(()))(()(()()())()()()(()())())(()(()()())())((()()())((()))((())(())(())())((()))(()()())(()))(()()(()())()()()())(()()()))(((()()))(())()()()(()()()()(()()))((()))(()())())(((()))(((()))(()())()()()()())(()((()())(()())()())()(()(()))(()())())((()()(()))(()(()))((()()())()()))(()(())())(()()()(()))(()(()))((())())(()(()()()(())()())()((())()()())(())()()(()()()(()))))(()(()())()((()())((())())()()(())()())((()())())(())(())))
(((()((()())())()((())(()))())(((())())()()())(()(())())(()(()))(()())((())())(()(((()))())(())(()())(()()))(()())(()(())))((()()(())(()())())(()()())((())())(()())(((()))(()())(())())(())(()()())(()))((()())((()()))())(()(()())(())(())(()())(()()())((()())()())())(((())(()))()()()(())())(()(())(())())((()(()())()(()()))(()())()(()()())(()((())))()(())()())(()()()()((())()(())()))(()(())()()()())) ((()()((())(())()()()(()))((())())(()(())()()())(())()(()()))(((())()())(()()()((())())()(())(())())((())()(()()(()))()(())()((()())(())()))(()())(()()()(()())())((()()(()))(()())(())(())((())(())(()())())()(()()(()))(()()(()(()))(()())))(()(()(()))())((()(()(()))())()(())(())(()())(()(())())(()(())()()(()()()))((()())()(()(()))()(()()()))())(()((())())(()())))((()())(())(()()()())(()()()(()(()))())(()())(()(())(()())()())(()())((()())(()())(()()((())()(())))((())())()()(()()()()())(()()))(()()()((()(()))(()))(()())()(()()())))((()()((())()())((())()()()(()))(())((()(()()())()())()(())()((()))())(()()())(())())((()())()()(()))((()())(())(()))((()()())(()())(())()()(()(())()))((()())(()())()(()()())(())((()())()()(())())(()))((())()((()))((())()()))((()()())(())())((())(())(()))((()())(()(())(()(())))((()())())(())(()())((()())()((())(()())())()(()()()))((()())())(()())(()()()((())())(()(()))()((()())()))))((())(())((()))(()())()(())((())(()()))(()(())()())(()))((()())()(()())(((()))()(()()))()()()()(()))((()())(()()(())())((())(()))(()(()))()(()))(((())())()(()()()())(())(()()()())(()(())())(()))(((()))(())(()()(())()(())())(()()())((()(()))(()()())(())()())()((())((())())(()))()))
(((())()(())())((())((())(()(())())((()()())())())()(()())(())()()(()(())(())(()))((()()())()()((())()())((()))((())()()((())()))(())))((())(())(()())(()())((())()))((()())(())(()))((()())()(())(()()(()()()())()(()())())(()(()))(()()()())((()))()(()(())()))(()(()(())(())()())(()())(())(()()(())())(()()()))(()((()())()(()()))(())()(()())(()())(()())())((())()(())(()()))(()()()(())(()()())(())(()))) ((((()()())())(()(())())(()()(()))()(()()()))(((()())(()()()()((())())((()))(())())(()(())())(()()()())(()()()())(()(()))()(())((()()(())())(()())(())(()(())(()()))(())()))(()(()())(())((()())(())())(()(())())(()(())())())(((()))((()))(())())(()()())((()()(())(())())((())()())()(()()(()()(()())())()())(()()((())())(()()))(())(()())(()()()))(()(()())(()())(()()()))(()(()())(()())((())()))((())(()())((())())(())())(()(()(()))()()()))((((())())())(())((())()()()())(()()()()(()))((())()(())((()())()())(())((())(()()))(())((())(()())()(()()))(()()(())(()((())))()))(((())()())(()()()()())()(())()(()))(()()(()())()()(())())(((()())())(()())(())(())()()((())(())))(((())())(()()(()))(()()()())(()()((())))(())(())()(()())))(()(()()()(()())())((()))(()(()()())((()))())(()()(())())()()())(()()((()())(()()())()(())())(()(())()(()))(()()()())())((())(())(())()(()(())()())())(((())(()))((())())()()(()()()())(())(()))((()())(()())(())(()()())(()())(()(())(())(())(()(()))(())(()))(()(())()(())(())())(()()()(())()))(((())(()))((()()(())())(())(()())()(()()(()))(())())(())(((()))()(()()))(()(()))((())(()()()(()()))(())()(()())(())(()(()())))(()(()())())((())(()()(()())()())(()()()()())(()())())(())))
(((()()(())()()())(())(()())(()()(()(()))((())())(()(())()(()()))())(()())()(()())()(()()))((())((())())()(()()()())())((()()((())))()(())(())(()()()()(()()()))(()())()(()()()))((())(())(()())())((()()())()(()()())(())()(()())(()()))((())()()(()))(()(())()()()(())())((()()()()()(()())())((())()(()()))((())()())(())(()()())((()()())()()()()()(()()(())))(()())(()())(()(())()()))(()(()())(())()()())) (((()()(()())(()()))(()((()))((())())((())())()(()))(((())()(()))(()()(())())(())()(()()())((())))(((())()(()()())()((())))(()(()(())())())(())((()))(()((())(())))((()))(()()()())(()()())(()))(()()(()())()())(()((())(()))(()))((())()(()())(()))((()()())()(())()())(((())()())(()()()()())(()())((()())()(())(()())()(()()))(()())(()()())(())(())((()())()(()())(()())()(())()()(()()()()))))((()())(()(())()(())()()(()))(())(())(())((()())(())(()()))(()))((()()((())()()())(()(())(()()()())(())())())(()(())(()()()()()())(()()())((()())((()))()(()())()()))(()()(())()())(()()(()))((())((())()())()())(()(())())(((())(())(())((())())(()))(()()()())(()())(()()())(()(())(())()()()())()()(()))((())()()(())()()())(()()()()))((()(()))(()(())())(()()(()())(())(())(()()))()()()(())())(()(()()()(()))(()())()()(())((())()()())())((()()()(()()))(()()())(()())(())()()(()()()(())()()))((()()())(()()()())(()()()())(())(()()())(())(()()()()(()()())())(()(()(())(())(()))()(())()(())())(()()()()))((()(()))(()(())()()())((()())(()(()))(())(())(((())(())())(())()(()())(()())))(()(()()())()(()())(()()())()())((()())()()())(()()()())(()()(()))(())(()()))((()()())(())(())(()()())((()()()(())())()())()(()(())()())))
(((()())(())((())()()()()(()()))()(()(()))(()))((())()()())(()(())(()))(()(())()()(()))(()(()(()))(()()(())())(())(()(()()()())(()(())())(()())()()()((())()))(()((()))((()))()()(()()))(())(()(()())()((())(()))()()((()))())())(((()))()(())()(()))(()(())((()()())()(()())()(()())()(()()()()))((())(())(())((()))())(()()()((())))(())(()())(()))((())((()))()()(())()(()()()()(()))(()(()())))(((())())())) ((((())())(((()))((())()()))(()()()())(()()(())()())(())(()))((())()(()(()())()()())()()()(()()()())(()()()(())())(()()()))(((()())())(()(())(())()(()())())(()()())((())()(()(()))(()()()))((()()())(())()())((())((())())((())()(())())(())())((())((()())()(()())(()))()(()())((()()())(()(()))(())(())()(()))(()())(()))((())(()()())(()((())()()())(())()(()))(()())()(())(()(())()())(()(())))((())()()))((()()())(()(()()()())(()())(())((()))(()(()))((()())()(()())))(()()((())(()))(())((())(())(())()(()))(()()())((())(())((())())()()(()(()))(()()))(())(()))((()(()())(())(()()))()()(()()())(()(())())((()())(()())()((()))()()())(())()(()))(()()(()()))(()(()(())(())())()(()))((())(())())(((())(()))(()(()))(())(()))((()((())))(())()()))((()(()()())(())())(())(()()())((()))(()((()))(())()(()(())))(())((((())))(()())(())(()(()))(()))()(()()()()))(((()))(())((()))(()(()())()(())(()()))(()())(()()())()(()()))(((()))(()()())()(()(()()(())))()(()(()())()())(()()(())())(())(()()()))((())(()(())())(()(())(())()(())(())(()))(()(()()())()())((())()(()()()()())(())(()(())())()(()))((()())(()()()(()())())(())()((()()())()()()(()))())(()()(()))((()))(()()))((())()(()(()()()()))(())(())()(())(((())())()())))
((()()(()())(())()(()()(())())((())()(()))(())())((())(()())(()((()))()(())(()))((()())(())(()()())()())(()())((())(())(())())(())(()())(()()()()))(()(()()())()()(()))((()(())(())())((()())()(())(())()(()())((())()()))(()())((()(())()())()()())((()))((())()(()())()()()((()())())())())(()(()())()(()(()))())((()()())(()()(())))((()()())()()()()()((())(())()())(()()()))(()()(())(())(()))(((()))()())) ((()((())()(())())((())(()())()()(()))()((())()()())(()())(())(()()))(()()(()())(()(())()(()()()(()))(())()(()(()())()((())))())(()())((()())()())((())(())(())(())(()))((())()()((()())(())()(()(())())())(())(()()())(())(()))(()))(((())())(()(()))(()())()()()(((()))(()()())())(()))(()(()()())()(())()((())(()()))())((()()(())()()()())(()()(())()(()))((()())()(()())()((()())()()())(()())()(((()))()(()()(())())))(()()()(((())()()())())()())(()(()())((())())()(())())((()())(()())(())(())())(()()())((()(()))(())(((()))()((()))(()((()))()))((())())(()())((())())(()()(())(())((())()()(()()()))(()()()())())(()()())(()()()))(((()())()(()()())()()(()))(()())(()())((()(()))((())))()((()())(()())(())()(()())()())(())()))(((()()(()))(())()(())(()(())())(()()(())))(()(())(())(()))(()(()))()(())(())(((())()())()(()())())()(()()()))((())(((()())(()())()(())()())()(())((())()())()(()()())((())(()))(())(()(())()((()))()()))((()()()())(()()(()()()()))(()(()())()(()()())()())()()(())(()(()))(()()())(()(())()()))(()()())(()()()(()))((())())(()())(()(())(()())()())((()()())()()(())(())(())(())(()())))((())()(()()()(()))(())()((())(())(())(()(()))))((()())(())((())()(()()))(()()()())()(()())((())(())())))
(((())(())(())()(()()(()))((())))((()()())()())((()())(()())()(())(()()))(()(()()())()(())(()(()))(((())((()))())()(())(()())(()())()(()))((())()(()())()(()())(())())(()()()(()))(()()(())))(((()())(())(())()(()()())(())())()(()()()())((())()())(())(((())())()()(()())(())(()()()))(())(()()(())))((()(()())(()))()()(()())()(())(()))(()(())()())((())((())())()(())(()())((())())())(()()()(()()()())())) (((()(())()(()))(())()(()()(()()))(()(()()())()())())((()(()()())(())(())(())(()(())()))(()()(())()())(()(())((()))(()(())()())())(()(())())((()))(())(((())())())(()))((()()()(()()(()))((())(()))()(()))((((())))(()(()()()())(())(()())())(()()()(()())())(())(())(()(()()()()()))(())(())(()))((())(()))((())()(())()())((())(())(()(())()()())((())()()())(((())(())(()))()((())())())())(()()())(()()()(()))(()()()(()())())(()(())(())()((()))))((()()()()(()()))(()()()(()())(())(()())())(()(())()(())(()()()()(()()))()(())((())()()))((())(()()()())(()()())()(())()(()()()()))(()()(()())(()()()))((()()())(()()())(()()())(()(()())(())()()())((())()()(())((()())(()(()))()()))()(()())(()((()))()))(()(()())(())())((()())((())())(())(())()()(()()))((()(()()()))()(())(()(())())((())(()())(()()())())()(()(())()()()(()())(()))))(((()()())()())()(())((()))(()(()))(()())()())((()())()(()()()())((())()(()))((())())(()(()))())((())(()()(()))(()()())()(()())((())(())(())(()))(())((()())((()))()()))(()(())((())()(())())(())(()(()())()())((()())()())()())((()()(())()()(()(())))(()())(()(())()((()))(()()(()))(()))(((()())()))(()(()(()()))(()(()))()()((())(()))()(()()()))((()))((())()((())())(())(())(()))(())))
((()(())()()((()())()(()()())(()()()()(()))())(()()(()()())(()(()))())(()()(()())()())(()()(()()())())(()(())()(()())()(())(())))((())()(()()(()))()(())(()()())(()()))(()(()(()))(()())(())(()())(())((())()))((()())(()())(()())(()(()())(()()))()(()()()((())()())((())()(())))()(()(())()()()())(()(())(()())()()))(()(()(()())()())())((()())()(()())(()))(()()()()())(()()(())()()(()()))(()()()()()(()))) ((()()(()(())((())())())()(()())()(()()()()())(()))(((())()(())(()()))(()())(())(()(())()()(()))(())()(())(()))((()())(((())(())())(()))(())(()()()())(()()())(()()(()()))())(((()()())()(()())()())(()()()()(()))((()(())(())())()(())((()())()()(()())())())(()(())((())()())((()()()())(())(()))(()())(()())(()()((())())(()())))(()()(()())()(())(())())((()(())()(()()))((()(())())(()(()())())()()())(()())(())(()()()())((())()(()))(()())((())(())(()())()()(()(())()())(()())()))((()())(())())(()()(()()(())())((())()((()))(()()()))(())()(()()))((()())((()))(())(())()()))((()()(())()(()(())))(()(()())()()(()()(()()))((()))(()()()())(()()()))(()())(()(()))((())()(())(()()))((())()(()))((()(()))()((()))(())(())(()())((())()))(()))(()(())(()()((()))())(()())(()())()(())(()()()))(()()(()()()((())()))(())(())((())(()(()))()()())(()())())((()())()(()()())(()())(()()()(())(())(()()())(()(())))((()))(()()())((()))(()(()())()(())()))(((()())()(()))(()(()()())((())()())(())()()())(()()(()())()((())()()()(())(())())(()())(()))(()(()(())(()))(()(())())()(()())())(((()())())(()()((())()())())()(()()()())()(()())(()(()))((()())())(()))(()(())((())()(())())())(()()())(()(())()((())()))(((())())()()()(()))))
(((())(())(((()))(())())(()(())(()()())()(())(())())(()()()()()())()(()(())(())((())))())((()()())(())()()())((()()())(()()()()())(())((())(())())()(())())(()(()())()())((()()())(())((())())())(()()(())()())(()(())(())(())((()())))(()((()))()((()))()()((()))())((())(()()()(()())(())(())(())((()))())(())(()(()())(()()))((())()())()((()()())(())()((()(()))()()())()(()())(())(()()))(()())(()(())()))) (((())(()()()())(()())(()()()(()))(()()())(()()())(()()()()((()))()())((()()(())())(()())(())(()(()))(()()()))((()())((())())((()())(())()())(()(())()())(())(()())(()())(())))((()()()(()()))(()())((())(())(())(()(())()())(()())())((()())()(())())((()(()))()()())((()(()))(())((()()())()()(()(()))()((())()()())(())(()))()(((())())()(()()()))(()))(()((())(())())()()()(()))((())((())(())(())()())()(())(())(()()()()())((()())()()(())())())(()()))((())(())(()()(())())(())(()(()())()())(()()(())))(()(()())(()(())())()(()(()(()))(())())(()()()()())())(()(()(()()(()()))()(()())())(()())(())(()()()())(()()()))((((()))((()))())()()(())(()(())(())())((()))(()(())))((()()(()()()())()(()))(())(()()()())(())((()(())(())()()())()(()())(())())(((()))()(()(()))(()(())()(()))())(()())(())())((())(((())()(()))((()))(())(()()(()())()(()))((()())(()(()()))()())(())((()())(())(())(()())(())((())()))(()((()))))((())(())()())(()(()())()(()(()))(()(())(())(()()())()(()()()))()(()))(((()))(())(()()))((()())()()()())((())()()())((()(()))()(()())()(())(()()(())())((())(())(()(()()))(((())())))(()())(((())())()()))((())()()(()())()(()())))((())(((())))()(())()((())(()())()(())(()))((()(()))()()(())())(()(()))))
(((())((())()())())((())()(()()()))(()(()))(()()(())()()(()(()())())(()()()(())))((()())((())()()()())(()()())(())(()(()())(()())(()(())))((())()(()(())))()(())(()(())()))(()()()(()())((())()()())()())((())(()()())(())()(()()()(()()))()(()))((()())()(()()())())(((())()()(())())(()())(())()(()()(()))(((()))(()()()())(()()))(()((()())()()(()()))()()(()()())(()())()()(()()((()))()))(()(()))(()()()))) (((()()((()))(())()())(()()())((()())()(()()())(())(()(())())()(()())((())()(()())()()))((())(()()())()(()))(()())(()()(())())(())(()()()))((()())(()(())())((()))(())((()))(()()(())()())())((((()))()()(()()))(())(()()(())(())())((())(()()))(()(())((())()()()())(())())()(()()(())())()(()()()))(((())()()(()(())(()()))(()())()(()))(()(()())(()))((())()()()(()))(()(()(())())(()()(()))(())()(()()))((())(())()(()(())))(()()()())(()(()())()(()(()()))((())()()()())()()(())(()(())(()())))(((())(())()(()()(()))()((())))()()(()())(())((())(()()()()())())((())(()())(())(()))(()))((()())()()()))((()())(())(())()(())(())((()())()()(())())(()()()()())((())()(())))(((())(())((()))(())((())()()(()())(())()(()))(()(()())(())()())(((())()()())()(())())((()())(()(()))()((())()(())(()()))()()())(()(())(())))((())((()))(()))(()()()(())()(()))(()(())(())())(()(())()(()(()))())(()()()(()((()))))(((())())(()())((())()(()()())(()()())(()((())))())((())())(())((())()()(()))((())()(())(()))(()))((()())()()()()())((()(()())())()()(()())(())(()(())(()))(())))(((())())(()()())(())()(((())()())()())())(((())(())())(()()(())(()()(())())())()((()))((()))()(()()()()))((())(()())()()(())(())(())((())()((()))(())())))
((()(()())(())()())(()()()()(())(()()()))(((())())((())()()(())())(())()()(()()(())()(())(()())(()))((()))((())()(()())(()()()))((()())))((()()())((()))()((()))(())(()()()()())(()())())(((()))((()())(())()((()))(()(()())))(((()))((()()())())(())()(())()((())))()(()()())(()())(()()()()(()())(()(()())))()(()()))(()(())((())()))((())(())((())(())(()())(()))(())(()())())(()()(()())(()())(())())(()())) ((()(())(()()()((())()())(())(()(()))(()()()))()(()()(())(()))()((()))(((()())(()()))((()))(()()())(()))(()()))(()(((())))()((())())()((())())((())()()))(((()()())(())(()()())(()())(()()(())()()())(()())()((()())(())()))(()(())((()()))()()())((()()()())()())(()((())(())(())())()()()(()()(()))())(((()()())(())()(()()())()(()()))(()()()()(()))(())()(()()())(()(()()())(()()(()))()(()()()())()((())))()()(()()()()()))((()())()())((()()(()))(())()(())())(()()(())(()())(()))((((())()())(())()()()()())((())())(((()))())()(())(()((())(()))(()))((()()()())()()()()())(()()())))((())((()()))((())())()()(()()(())(()))(()()()))(()(()()()())(()(())(())()()())(()())(()())(())((()())()))((()(()))(()()()())(()((()())((())))(()(())(())()()()((())()))(()()())(()))((()))((())()(())()((())()(()))(()))((())()())(()()()(())())(()()(())())((())()()(()())))(()()(()())(())(()(()))((()()())())()()())(()()()(()()())(())(()()())(()())(()(()())))((()(())()()()(()))(()(())((())(())()()(()()(())))()(()())((()())(()())()()(()()(()))())(()(()())()()(()())))(()(()())()(()()))((())()()()()())(()()(()()))((())(()()()(()))()(())()())(()()()(()(()())(()))(()(()())()()()()())()()(()()()))((()())()(())(())(()()))(()()())))
(((())((())())())((()()()(())()())()()((())()()))((()(())())(((())()())()())((()())((())())(()())(()())(())(()(()))()((()())()()(())))(())()(()(()))((())(()))(())((()())((()))()()(()())(())))((()()(()))(()()(()(())(()))(()))(()())()(()()()()((())()))((())()()(()))((())())())((())()()()(()()())())(()()((())())())((())()()()()(()()())(()()))((()())(())())((())(())()()(()()(())()())(())((()())()()))) ((((())())(()(())(())(()))((())(())(()()))()(()()())()(()()))(()(())((())())(()(()))(()(()()))(())(())())(()((()()())()()(()()()))(()()())()(()())()(()(()())()()()(())))(()(())((()(()))(()()))((())()())(())(()()(())))((()(())()(()()(()))(())(()()()()()())())(()()(()()))((()(())()())()(())(())(()(()(())())(())()())()(()())(()()())())(()()(())())((()())((())()()(()))()(()())()())(()(()()())(()()(())()(()))(()()())(()(())()()(()(()()()())())())(())()(())())(()()())(()()(())())(()()))((())((()())()()()())(()()((())()())())(())(()())(())()(())(()))(((()()()())(())()(()()(()()))((()()())(())()(())()()((()(())())())(()))(()(()()())()()())((())(()())(())()())()((())()(()()()())(()()())()))((()()(())(())(()(())()())())()((())())((())())(())((()())()(()))()(()(())))((()())()(())(()())()(()))(((()())())(()()(()))())(()((())(()))(())()())(((())()()())((())()()()())(()()()())((())(())())()(()())()())((())())(()(())()(()()))((())(()())()(()())))(()((()))(()()())(()())((())()(())()()((()))())(())(()()(()())(()()()((())())())(())(()()))((())()))((()(()()()()(()))()()(()())((())()()()(()))((())()))(()())((()())(()(()))()()(())(()))(()())((())())(()())(()()()(())())((()())(())(())((())()(())()()))))
(((())((())()())(()()(()))((()((()))()(())(()()()))()()()(()(())))((()())()(()())()(()()))((()(()))()())(()())(()))(((())())(()(()))()(()())(()()))(()(()(()))()(()(()()))((()()(()))()(())())(()())(()()()()())((()()())(())()()()())())(((()())()()())(()(()))()(()())()(()())((()())()()(()))())(()(()())(()())())(()(())(()()())(()))((())()(()())()(((()))())(()))(()(()())()()()(()))(()()()(())(()()()))) (((())()()((())())(())(()())())(()(()(())())(())()(())(()((()))()())(())(()()))((()())(()()(()))(())(()())(()(())()(()()()))(()(())(())(()()()())()())(()()(()))(()()()))(((())((())())(()))(()()()()())(()(())(()())(())(())())((()(())()(()))(()(()))(()())((()())(())(())(()())(()()))(()(()))(()(())()()((())()()(())())())((())()())(()()()()()((()))))((()(()))(()()())(())(()(())(()(())))()(()()))((())()(()(()))((())))((()(())())()(()())())((())((()))(()()())((()()())()()(()()(()))()())((()))(()(())()(()()())())()(()()()())())(()()()()))((()(())(())()()())((())()()(()()))()(())(()())(()))(((())()()()(()))()()(()())(())(()())(()())((()())(())))(((()()(()))(())((()())())()((()))()(()))((())(())(())()())((())(())(())())((()(())()(()()())(()())(()()))((())(()())((())))(())()()((())())()((()())()()()(()())()()))((()()())(()())(()(())(())(()()))()(()(()))()((())())(())((())()()(()())))(()()(()(()))((())))((()()(()()))(())()()(()()())(()())())(()(())(())(((())))(()))(()(())))((()(()()()()()())(())()(()())(()())(()))(()(()))(()()()())(()())((())())(()(()))((())(())(())((()))(()()(()()))(()()))(()()(()()()))(()(())(())()()()))((())(()()()())(())(())(()()()()()()(()())(())())((())())(()(()))(())))
(((())(())(()())((()())()())(()()())((()(()())()())(()())(()())()(()(()))(()()()))(()()(())(()(()))())((()())()(())()())(()()))(()(())(())())((())(())(()))(()((())())(()())(()()()(()))()(())()((()()()())()()))(()()()(())(()()(()()))()(())())(()()(()(())()))((())()(())()())((())((()()())()()(()(())()))(()(()())()()(()()(())))(()())((()()))(()()(()))((()())())((()))(()(()()())))(()(())(())()(()()))) (((()()()(()())(()))(()()()((()))(()())()(()))(()((())(()))((())())()(())(())()())((()()())(()())(((()))()()(())(()()()())(())()())((())()())(((())()(()))(()(()))(()())(())(()()()()))(()()()()(()))(()()(()()()())(()))())((()())()(((())()())()(()())(()(())))(()()(())()()()(()))(())()(()()()))(()()(())()()(()()))(()()()())((()()()(())())(()()(()))(()())()()(()))((())()))((())(()(())(()))(())(())(())(()(())()))(((()()())()(()))(()())()(()()())()((())(()())())()())((()()()())(())(()(())()()())((()()())()()())()()(()(()(()))()))((((())()(())())(((()())())()(()())()()())()((())())(()())(())()(()(())))(()()()()(()))(((()))(()()(())(())((())(()))(()())())((())(())(()))((())())(())(()(()))())(())(()(((()()))()(()()))(()()(()()))()(())(()(())))((())(()()()(()))(())())()(()(())()(()))(()(())()()()()))(()(()(()())(())())()(()())(())(())(()())((())(())(()()())))((()(()())(())())(()()())(()((())())(())(())()())(()())(()()(())((())))((())()(())(()()()(()))(()))((()())(()()(())())(())()()())(()()())((()(())())()()()))((())(()()())(()()(())())(()()())()()(()()()()())(()())(()))(()(((()())()()())()()()()()(())((()())()))(())((()))(())(()((()())()(()))()(())(())(()))((()()()())()()())(()())((())())))
(((()())()()()(())())((())()()(())(()(())()))((()())(())()()())((()(())()(())((())(()(()))()))()(())()(())((())()((())))(()()())(()((()))(()(()))())(()()()()))(()()()(())(()(())()(())())(()()())())((())()()()()())(()(()())())((()()())()()(())((()(()))()(())()(()))()())(((()()))((()()(()())())(())(())()(())())((())(()))(()()(())()())(()())((()())()()()())((((())))(())()()(()()())(()())(()))()(()))) (((()((())())(()(()))()()(()())(()()(())()(()())))(()(())())(()(()(()))(()()(()))(()()())()()(()))(()())(()()()(()())(()()))(()())()(()()(())())((()())))((()(())(())()(()())())(())()((()))()((()))(()()()(())))((()(()())(())(())())((())()()(()))(())()(())(())((())))(()()((())(())()(()))(()())(()()(())(())()(()))(()))((((())(()))((())(()))()((()())(())()(()()())((()))(()))(())((()))()((())()(())()(())))(()(())()((()())()()((()()))())((())(())())()(()()())(()(()())))(()(()()))(()(()())()(())((()())()()()))((()()))(()(()))(()()(())()(())(()()))((())()((())()()(()))((())(())(())))(()(()())))(((()())()()(((()))()()))(()(())()()(()))(()((()()())())(()(()()())()(())(()()))(()()()(()))(())()(()())(()()(())))((()())(()()())(()())(()())(()()()())(()()()(()))(()()((()))()(()()())()((())))((())()())((()()())(()(()))(()(()))()()(())))((())(()())(()))((()()())((())()())()())((()()(())(())(()))(()()(()())(()))((()()))(()(())())(())(()(())))((())()(())()())(()((())()(()(()))())((())(()))()()()(()())(())))(((())())()(()()())(())(())()(((()()))()))((()()(()))((())(()(()))(()())())(())(())()(()(()))((()())(()(()()))(())(())(()(())(())()))((())())())(()()((())()()()())((()))()((())()()()())(()())(())))
((()(())()(())())((())()()()()((()))((())))((())(()()()())(())())((()()())(()()()(()()))(()())(())((())()())((()))(())(()(())()(()(()))(()()())())(()(()()()())()(()()()())()))(()()()(())()()())((()()((()))(())())()(())(())(()()))(()()(())()(()()((())))(()))(()((())(())(())())(()()()())(())()()(())((())(())))(((())()()())(()()((())())(()()())(()))()((())(())(()())()()((())))()(()()())(())(()()()))) (((()()()())()()((()())(()())(())(()()())(()())()())(()()(()()()))(())(()(())()()()()())(())(((())())(()(())(())()()())(()())()()(()())(()(()))()))((())(()()(())(()())())(()((()))()(()))()()()())((()()(())(()()))(()()()(()))(())(()()()()())()(())()())(((()((())()()())()(())((())()))(()())(()()(()()))(()(()))(()())(())(()(()()))(()())((())()()(())))((((()))(()))((())()()())(()()(()))(()(())())()(())(()())())((()())()(())(()())()((())))((())()(()))((())()()()())((()())(()())((())((()))(())(())((())())()(())((())(())(()())))((())()()()(())()())((())(()())())()()((()))(()((())())(())))((()())()((())()))(()()(())(()))(()(()()())(())()()(())(()()())((())())))((()()()()())(()()()(())(())((()())(()))(()))(()(()))(())(()(())(()())()(()))((()()())(()())(()()(())(()))(())(()(())(()()))()()(()()))(()(()())((()(()())())()(()))()((()()())(())()()()())((()())()()())((())(()(())(())()())()(()(()()))())(()()()))(((())())(())((())(()))()(())((())()))(()()()))(()(()())(()(()()())())()(())(()(())()(())()(()(())))(()()())())(()(()()()()())(())((())(()())()(()))()(())((())(())))((()(()(()())())()(())()())(())(()()())(()(()())()(()())())(())(())(()()(()()))(())(()))((())((()))(()())()(()(()())()())(())))
((((())()())(())(())(()()()())(()())(())())(((()))(())()())(((()())(())(()(()(()))(()())()())(())()())((())())((())(()()(())()())((())(())))()(()())(())(()(())()(()())()))(()(())(()())(()()))(()(()())()(()()))((()(()(())())()((()(()))()()(())())(()()))(())(()()())()(()()(()))(()()())()((())()(())(())())((())))((()())()()()(()(())())(())()(()()(()))(()()))(()()((())()())()()())(((())()())()(())())) (((()()(()()))((())(()())((())())((())()(()())(((()))())(()())())(()()(()))((())(())())(()((())())(())()(()()())(()()())))((()()())(())()()()(()(()))(()())(()()))((()()()())((()())(())(())()()(()))((())())(()()())(())()(())(()))((())()()())((()())()()(()(())())()())(()(())()((())())(()))((())()()(()())()(()))((()()()(()))(())(())((()())()())((())())()()))((())()(()(())())()((()())())((())()())(())()(()(()())))((())(())(()(()())(()))(()(()))(()()())()(()()(()())())())((())(())(())(())(((())())()()())(())((()())(()())())(())())(()(()(()())(())()()())(()())(()())((()))(()()())((())(()(())))((())(()())()()((()()()())()()()()()))(()()))(((()())()())(()()()()(()()))(()()()()())(()())((()())((()))()())((())(()(())()(()))()(())((()())())()(()))((())(())(()())(()())(())(()()())(()())(()))(())())((()(())()())((())()(()))(())(()()())(((())())(()())()((())())))(((()())()(())()())(()()(()))(()()(()))(()()(()()))((())()()(()()()))(()((()())((()))(()()()))(()(()))(()(()())()()())(()()(())()(()())(()))()((())()())(()))(()()(())(()())(())(()()))(()((()())()(()()())()())(()(())()())(()(())()))((()()())(()()())((())()(()))()()()))((()()(()))(()())(()(())(())((()))())((()())()()()())(()()())(()())()))
((()(())()(()())(()()(()()))()(()()(()())))((()(()))((()())(()()(())())())(()()())(()(())()(()()()))(()()(()))()((()()()((())))()()(()())(())(()(())))(()()))((()()(()))()()()()()(()()))((())(())((())()(())(())())(()()))(((())(())()(())()(()))()()((())(())())(()(()())()(())())(()()(())()())(()()()())()())((()())(()()())())((())(()()()())(()()())(()()())()()(((()))))((()()())(()())())(()()(())(()))) ((((())(())(())())(()(())())(()(()))((())((())(())()(())()(()()(())()()))(()())(())(()(())())()()(()()()())(()((()))(())()))(()(()()(())()(()(())))(()(()))(())(()())((())((())()())()())(((()))(()())(())(())(()()((()))())()())(()()()()())())(((()()())()()()(()))()()(())((())()()())(()())())((()()(()))()(()()(()))(())(()()())(())())(()()()()(()()))((())((())())()()(()())))((())((())())((())(()())())()(())()(()(())()()))(()()(())((())(())()()()())(()())((()))(()))(()(((()))()()()(()))()(())(())()(())(()()(()())(())(())))(()(()()()())()(()()())(())(((()))(())()(()(()()))(())())()(()()())(()(()()(()()))()()(())()))((()(())())(()()())(()())(())()((())(())()())(()())(()(())))(((())()()()())(()(())()())(())(()(((()))()())(()()()())(())(())(()(())()(()()))(())(()))(()())(()()())((())()()(())(()())()(()((())())()(()))())(()(())(()()))(()()()()))(((())())((())((()))(()())(())()())((())()()(()()()(()))(()()())((())(())(())()(())())(())(()()()))(((()))()())(((())()(())((())()()))((()())(())()())(())(()())((())()((()))()())(()())(()())(()(())()))((()())()(()(())(()))(()()())(()()())())(()(()))((())((()())()())(())())((())(()(()))()))((())(())(()())(())((()()()()(())())()()()()())(()())(()()())))
(((()(()())())(()()())(())(())()(())(())(()))((())((()(())())()()(())()()(())(()(())(())))(()()())((())()()())(()(()()()())()()()())(())(())(()()()()(()()()))((()())()()))(((())(())())(()())(())()(()(()))(()()(())(()()))((()))(())((()())()()()()(()()(())()())))(()())(()(()())((())))((())(())()(())()())((())((())()())(()()())()((()())()(())()())(()()())(())(())())((())()()()()(()))((())(())(())())) ((((()()(()())(())(()))()((())(())()()()())(()())((())()()(())()(()))(()()())(())()())((()()())()((()())())(())(())((())(())()()()()))(()()()(())(()(())())(())()()((())()))(())(((()()()())(()())(())()((())())(()()()))((()())(())()()(())()(()))(())(()()())()(()())()(()()()())(()()))((())(())(()()))((()()()()(()))()(()())(()()())(()))((())()()())(()(()()())()(())((()))))(()(())()()(()()())(()()(()))(()(())(()))())((()()()(()))(()())()(()(())()(()())((())))()(())(())())((()()())(()()())(()(())()())((()(())())(())(()))()())((()()(())()(()())()(()))(())(()()()(()()())()())((()))(())()(()))(((())()()()())()(()())(()())(()(()())()()((())()(()))(()())((()())()(()(())(())))(()))((())(()())()()()(()()())(()()))((())()(()(()))((()()))(()))(()()()(()()))((())))((()())()(()(())()())()(())()()(()(())()(()())))(((())()()(()))(()()())(()()(())()(()()))((())()()()()()((())())(()))(())((())()()())(()(())((()())())()())(()()()))(((((()))(()))(())()(()()()())(()()(())(()))(())(()()())()())(())((()())(()(()))(())()()(())(()()()()())())(()()(()()()())(()())()((())(())()((()))())(((()))()(()()())()(()()(())())())(())(()(())))(()(()))((())()())((())(()()())(())(()()(())(())()))(()(()())())(()()(())()())))
(((()()())(()(())(())(()()))(())()()(()()))((())(())()(()()))((()(())())(()())((())((()))()())(()(())())((())()()()())())(()()(()()(()))()(())(()()))((()(()()())()()(())())((())())(()()())(())((())()(()()))()(()()()())(((()))()())())(()()())(((()())((()(()))())()(())())(()(()))(()()())((()())()()(())()(((())()())()(()()))()(()()))((())())(((()))())()(()())(()))(()()(())()(()()))((())(())()()()())) (((()()()(()()))()()(()(()())()()()())(((()))()))(()(())((())(())())()()(()()()()(())())()(()()))((()()()()())()(())((())()())((())))((()()())(((())())(())()(())(()())())(((())()()())(()()()())()()()()(())(()())(()()))(((()()))(()())()(()(()()())(()))()((()))((()()())()((()))()(())())(()(())(()(()))()())(()()))(()(())(()())())((())()(())(()(())())()(()()))((())()())(()()(()(()))(()))(()(())(())))(((()())()(()()(())(()())(()()))(())()((())(())()())(()()())(()(())()()))(()(()))(()(())())(()())((())(()())()(()(()(())))(())()((())(()()()())))((())()())(())(()(())()(())())(()(())))((())(()())((())())(()()()((())()))()()()(()()))((())(()()()())((())())((())()())(())()((())()()))((((())()()())()()(()()(())((()))())()(()()))((())(())()()()())(()()()(()())(()))((()())(())((()))(()(())(())()(()))(()())())((()(())()())(()(())())()((()))(()(()())()((()())())(())(())(())())()(()()()(())())(()()()()))(()(()(())())((()))(())(()()(()()))((())()()()(()())((())))(()(())())(()())(()()()(()())((())(()()))(()(())())()))(()()()(())()())(()((()))(()()())(()()())(())(()()()()(())())())(()(()())(()()()())(())))(()(()(())()(()()())()(()))((()())()(())()(())()())()(()()(()(())()()(())))(()(())())(()()(()))))
((()()()(()))(((()))()()()()()())(((())()())(()()()(())((())()))((()()())()(())(())(()))((()()))(()())((())(()())()(()()()())()(((()))()())())(()))((()())()(())(()(())))((())(())()()(()()))((()())(((())())()(())()(()))(())((())()()(()))()(()(())()()(()()())())(())((()())()()(())())(()))((())()((()())())(()(())()))(((()))((())()()(()))()(()())()(()()()))((()()(()))()()(())()(()(())()((()))())(()))) (((()())(()())(())(()()()(()())())(()(()()(()))()()((())()())())(()()()()(()(()())())(())((())(())(())()))(()()())(())(()(())(())((())())(())()))(()(()()()())(()()()(())()())(()(()()))(())()(()))(((()())(()())(()()())()(())(()()))(()(()))(()()(()))(()(())(()()())(()())(()()())(()(())()(()(())())(()())())((())(()()())()(())()(()())))((()())()()()()())(()()())(()()()(()(()())))((()(())(()())()()(())())(((()))()())((())())(()(())()()())()()()(()))(()()(())()))((())(()()(()())(()))(()()()(()())())(()(())(())(()())())(((())())(((()))()(())(()())()(()))((())()())(())((())(())()()(()(())(())()())())(())(())(()()()()((())()()())())(()(())))((()())((()())()())(()()()()()(()))((()))(())(()()())()(()()(())()(()()))((())(())((()(())))(())()))(((())()()(()(()))(())(()))(())()((()))((())()(())(()())(())))((())()())((()()())(()()()())(()())()(()())(())(()(())()())))((())()()(()(()))(((()())(())())()()(()())()())(())((())(())()))(((()())())(()()()(())())(())(()(()))((())(()())()(()))())((()())()(()()((()))(()())()(())())(()())(())(()(()())())())(((()())(()())())()((()())()()((())(())(()))(()()))(()())()(())(()()(())(()()))(()())(()(())()))((((()))()())(())((())()(())())((())()())()()(())(()()())))
(((()())()(()())((())(())(())(())()())((())()(()))()()((())))(((())()())(((())())((())())(()(())()(())(()()()()))()()())(()()(())((())()()()))(()())(()()())(()()())(()())(()())())(()((()))(())()())(((()))()(())())((())(())()(()())()(()))(()(()())())(()()()()()())((((()))()())(()()())(()())(()(()())(()())(()())(())()((())()(()))(()()))(()()())(())((()(())())()((())))(()())(()))(()(()())(())()()())) (((())((()))()(()(()())(()))(()()())(()(())()((()))(())((())()))(())(())(()(())()(()(())()(()))))((()()())(()(())()(())()(()))()()(()(()))(()()()())((())))((()()()(()))(()()())(()(()))()(()()()()((()))())())((()(()())(()()()))()()(())(()()(()))(()))(()()((())()()())(())(()())()(()((())())()(()(()))())(()()))((())(()())((())()(())(())(()())((())()(()))(()()))(((()))()(()))(()())((()())()()())(()()())((()())()()(()()())())((())(()((()))())(())()()((())(((()))()())()(()()))(())))(((()()())()(()())())((())()()())((()))(()())()(()()())()(())((())))((()(()())())(()(()((()())())()()())()()(()()()(())))(()()(())())(()()(()())())(()()(()())()(((())(()())())()()()(()))(()())(()()()(())())((())(()())(())()(())(()())))(()(())()()())(()(())())((()())(())())((())((())()()())(()())()(())(((())(())()())(()())(())((())))()(()(())()(()()))))(((()())((()()(()))())()((()())(())(())(()))(()()())()()(()())(()()))((())(()())(()(())())(())(()()(())(())())()())(()(()()())(())((())()((())))(())(()()()))(()()(()))((())()()(()))((())()()(())()(()()))(()()()(()))(((()())())((()))()(())((())))((()())()(()()())(()((())())((())())()()(()))(()()(()()()))(()()())((())(())((()))()(())()()(()))((())()(()())())(()))))
((()()()()())((())()()((())()))(()()()()(()()))((())()(()))(()((())()()()()))((()(())())(()()())(()()())(((())())((()))()((())(()())()()))(()(()()(())())((())(()))()(()(()))()())(())((())())((())()(()())(()())(()))(()))((()()())()(()())(()())((())()()()))(((()()))()((()()())()(())((())))((())()())(())()(()()()())())(((())()())(()()())(()(()))(())(()())()((()())(())(()))((()())(()(())(()))()(())))) (((()()()(()())())(())(()())((()())))((())(())(()()())()()(())((())()()(()))((())))((()(()())()()(()))()(()()()()(()))()(()(()))(())((()(()()))()()(())()()))((()()()(()()))(()(()))((())(()())((())())())(()(())())((()())(()()()())(()())((()()())()()()())()())()((()(())(()))((()())()(()))((()))()(()()))(()()))((()()(())()())(())(()()()()(())())(()()())(()()))(((())(())()(()))((())()()(())(()()))(()(())()((())))((())(())()(()())(()()())(()()(())(())(())()(()))()(()((())()())()()(()))((())()))(((())())()(())(()())())((()()()(()))((())()(())((())()())(()(()())))()(()()())(()()())((()())()()(()())()())((()))((()))())(()(())(()())((()())()(()()))(()()((())))()(()()(())()()))(()()(()()())(())(())())(()()()(()()()())()))((((()())(()))(()()()())()()()(()()(()))((()())()()())(()())(()))((()()))((())((())()(()()))(())(()()(())()()())(()())(((())())(()(()))()(())())(()()()())(()()()()))((())()())((()()(())()())()((()())(()))(())(()))(()()()()())(()()()(()())()(())(()()(()))())((())(())(())())((()())()()()))((()()()())(()(()())()(()()))(())(())()(()())(()(())()()))(((())())((()))((())()()(())(()()))((()()(()))()(()((()))(())(())())((()))(()())(())(()()))((()))(()()())(())((())()()()()(())(()))))
(((()())()()(()()())())(()((())(())())()(()()())()(())((())()((()))))((())(()()()(()))())(()((()()())(())()())(()())()((())())(())()()(()()((()))()))((()())()()(()(())())(()))((())()()()())(()()()())(((()())()(())(()))(()(())())((()))((())()()())(()))((())(())(()()()(()))(()(())()())((()())()()((())()()())(())(()()()))(()((()))(()(())))((())(()(())(()))(())()())((()())(())((()())())(()())()(())))) ((((()()())()()()(()()))((())(())())(()()(())()())(((())()()(())())()(()(())()(()))()(())(())())(()())(()(()())(())(())()(()()()))((())()(()())())((()(())())()(()(())())((()))((()())(())()))((()()())(())(()()())((())()())(())(()())(((())()(()()))(())(())()(())(()()))((())()()()(()))))(((())()())(()()())((()())(())(()()(()))(()))(())()(()())(()())(()()))(((())())()()()((())())()((())()))(((())()(()(())()))((()(())((())(())())(()))((())()())()(()(()))(())((((()))(()(())(()))(()))(()()()())(()())()()(()()))(()()(()))(())(()))((()))(()()(()()))(()(())()())((())(()(())()(()))()(())()(()(())()())()(()))((()(()))()(()()())(())()()())(()()()()()(())(()(())())())((()(()()(()))()(()(())))()(()(())()()()(())()((()())(())))()(()())(())(()()()())((())((()))(()))))(((())()(())()(()()()))((()()()(()))()(()((()))())(())(()(()))()()()(()()()()))(()())(())((()))((())(())()()()())(())()(()()(()()()())(())()(()()()()(())())()()))((())()(()()()())((()())()()(())(())(()))((())()()))((()())(()(()())()()())(())()(()()())(()()())(()())(()))((()()()())(()(()()))((())(()())(())(())())(())(())(()()(()()())(()()()(())()(()))()())(()())((()))((()())()()(()())))(()()((()())()(())()()())(())(())((()())(())(()))))
(((())()()((())))(()()()(()())(()()()))((())(())()(()())(())()())((()(()(()))(())(())(()(())))(())(()()(())())((())()())(())(()())((())()()()())())(()()(()())()()(()()()))(()()(()()()(()())(())())(()()(()())(()()))(())(()())(()()(())())((()()()()()()((())))(()())()()(()()(())()))(()()))(()(()()()()()())()()((())()(()())())(())(())(()()))((()())(())()(()())(()(())))((())()(()()())(())()(()())(()))) ((()(()(()()))()(())()(()())((())(())((())())(())(())(())))(()(()(()))()()((())(()())()())(())(()))((())(()()()()())(()()(()()())()(()))(()()()())()()(()((()()))(())(()(())(()())())()(()()())(()))(()()())())((()((())())(())())(()(())(())()())(())(())()(()(()()))(()))((()()(())())(()(())()(()()()))((())(()()))(()()(())(())())((()()())()((())()(()())()()()())((())(())(())()()(()))()(())(()(()())()()(()))())(()(())()(())(())()(()))(()(()()())((())())()(())())(()())((())(()())()((())()()(()(()))(()))()(()(()()))(()())(()()()())))(()(()((()())()()(()()))(())(()(()))(())(())(()(()))(()()))(()())(()())(()()())(()((())((())())())()(()()(()))()(())(()()()))(()()()((())()())(()))(()(())()()(()())())(()()(())))((()(())()(()()())()()(()))(()(()()(())()(()))(()(())()(()(()()))()(()))(()())(()()(())())(())(())(())(()))((()(()))(())(()(())()()()(()()))(()())(()()())()(()())(()(()())(()()()())()())(()()()(()()())(()())()))(()((())()(()))(()())())(()()(())(()))((())()(())(())(()())(()))(()()()()(()))((())((())())())((())()()((()()())()()(()))(()())()(()()(())(()()()())()())))((())(())(()()(())(()))((()())()()(()()())((())()))(()())(())(())((()())()()()()))((())((())())(()(())())(()(())(()()))(())))
((()(())()()(())()()(()(())()()))(((()())())()()()())((())(())(()())(()()()()()()(()))(()())((())()()))((()(()()))(())((()()())(())((())())()(()()())()())(()())(()(())()())(())(()()(())()((())()()()())((())()())((()())()))(()(())(()()())())((())(())()))((())()()()())(()(())()()(())(()))(()((()))((()))()())((())()(())(()()()))(((())()()())(()()(()())(())()((())()()))()()(()())()(()()(()))(()())())) (((())(()(())()()()())((()()(())()(()))(())(())(())(())(()(())())((())(()()())(())(()()()())()())((())()())(()()()))(((())(())(()(()()))()((())))(())(())(())((())()(())(())())()(()(()())(())(())()))(((())()())()(())(())())(()()(()))(())()((())(()()()(())())(()()())()(())()()))((()(())())(()()())()(()())(()()(()))()()(()))((()(())()()(())())((())()())(()(())(()()(())()(())())(())()()())(()()(())())(())((()()()(()))()()()(()()(()))(()))((())(()))(()())(()()()))(((())(())())()(()()()())(())()(()()(()()))((())()))((())(()()()()())(()(()))(()()()(())())(()(())(())()((()())()()(())())())(()()()())(((()))(())(()()(()))(())(()())((())()()(())))((()))(()))(((())(()()())()(()))(()()()())((()()())(()(()(()))()()())(()(())()(()))(())()(())(())((())()(()())()(()))())((()(())(()())())(())(((())()())(())(())(()))(()()())(()()((())())(()())()((())()()))(()())(())(()()()))(()()()()()(()))(()()()(())(())())((())()()(()())(())())(()()()(()()())(()()(()())()())(()(()))(()())(())(()))((()(())())(()()())(())(()()()()(()))(())(())()))((())(()(()())())(())()((())())(())(()()(()()())))((()()()()(()))((()))()(())(())(())(())((())(()())(())((()))()()))((()())(())()(()()(())(())())()()(()(()())())((()())())))
((()(())(()()()()(()))())((()())()(()()()()())()(())((()))(()()()()(((()))))((())(())(()())))((())((()())()()()(((())))())(()()())(()(()())(()()()())(()())())(()(()(())()))()(()))((()()())(()()()()()(()(())())(())(()(())()))((()())()()(()(())()()()())((()))(()()))()()()(((()))(())()(()))(()(()))())((())(()()()()())())(()((()))(()())()())((())(())()(()()))(((())())()()(()))((()())((()))(())(())())) (((())(()()())(())(()()(()(()()))(())()()())(()()())((())()(())(())(()()()()()()(())))((()())(())(()()(())(()))()(()()())(())())((()())()(()))(()(()())))((()())(())(()())(()()()()())()((())()()()())(()(()()()())()))((())()((())()()()(())(()))()((())())())((()()(())()()())((())()(())(())(()))()(())(()()(())())(())(()()))((())()(())(()()(()()(()))((())())()()())((())(()(())())(()))(()()(()))()((())(()))((()())))(()((())()(()))(()()())()()(())(())()((())()()()))((()()()(()()()(()))(()))(()(())()((())()(()())(()))(()()()(()()))(()(()))()())((()())(())(()()()()())())(((())(())()())()(()())()())(()((()))()((())()(()))(()())(((()))(())(()()())())(()()()()()(()((()))()))(()()))((())()(())()(()()))(()(()())(()(()(())())()(())(())(()()())())((())()(()())()(()())(())())(()(()())()(()())()()())(()(()()()))(()()())((()())(()())))(()()(()())(())())(()(())(()()())()(())()))(((())()())()(()())()()(()(())()()())(()))((()()()())((()())(())(())(())()()(()()()(())())(()))((()()())(()))((()())()()(()(()()))(()()(())()(()))(()))(()(())(()))((()(()))(()()())((()))(()())()((())(()(()))()(()()())(()))()((()(())(()))(()()())()()()(()()))())(()()(()())())(()(()()())()(())()(())(()()()())(()()))(((())())())))
(((()())((())()(()()())((())()))()()((())())()(())(()(())(()())(()))())((()())()(()()()(()))(())()()(()()())())(()()(()())())(((()()())()()()(()()))(())((()())((())())(())()()()(()())())(()(())()())(()()())((())())())((())()(())())((())((()(())()(()))(())(())((()))(()()))((())()())((())()(())(())())((()()()())()()()(()())())(())(()())((())()()()()()()))((())(()())()())(()()()(())(()))(()(()())())) (((()(()())(()))()(()(()))(())(()()()()(())(()))()()())((()())(()()()()())((()))(()(())()()(()))()(())((()))()())(((()())())(()()()()())(()(())(())())(()()(((())(()))()()(()()()))(())(())(()()())(()(()(()))(())()())(()()(())()))(((())()())(()(())())()(()())(())(())(()))((()()(()))()())(((())()())(())(())()()(()))((()()())()()(()()()(()))()((()))())(()(())()()))(((()))(())(())((())()(())(())()(()))((()))(()()())((()()()(())()(()))(())(()()()))(())(()))((()()()(()))((()())()()(())(())()())()()(())(()()()())(()(())(())))(((())(()())()()(()()())())((())(()))(())((())()(()))(()(())((())())()()())(()(())()()())(()())(()())(()(()()()())(()(())()())(()())(())()(()())))(((()()(()))(()())())((()())(())()())(()(())(()()())())(()(()())(())(())(()(()))()())((())(()(()())(()())())((()())(()())(()))(()()(())())(()(())(())())(()()(()))(()())((()))(()))(()()((()))()(()()())()())((()())(()()(()(()))())(())(()())()((())(()))(()()())())(((()))(())((())()()()()(()()())(()))((()()(()))(()()()()())((())(()())())())(()(()))((())())()(())(()()(())()()))((())(())(()())(())()))((()(())())(()()()()(()())(()))()()((()()()())())()(()()))((())(()()(())())(())((())()()()()(())()())((())()()()(()))()(()())(())()))
(((()())()()()((())()))(()()(())(()))((()()()())()()()((())()))((())(()())(()()()())(()(()())()())(()()())(()(()))(())(()()()())((())()()(()()())(()(())())))(()()(())(())())((()(()()()()()())(())()()(()()))(()(()))(((()))()(()()))(())(()(()()())(()())(())(()()()())(()))((()))(())(()()())(()()(())(())))((()()())()()(()()())()(()()()))(()(()())())((()())(()()())((()(()))(())()()()())(()(())()())())) (((((())(())())(())(()())()(()()(()()())(()))(()(()))(()))((())())(()()()(())())(())((()))(()()(()()())())(())(()))((()()())()()(()())()()()((()())(()())()()((()))))(((())()())((())()(()())(()))((()(()(())())()()()(()))((())(())(()()))((())(())()((())(()))(())(()()()))(())(()())(()()(()()))(()()(())())())((()(())()(())())((()())()(()()))(()(())())(()())()()())((())(()()(())()()(()))(()()()()(()()))(())(())()(()((())())((())()(())())())((()())()(()))(()))(()((()))(()))((()(()))())((()()())()()()(()())())(()(()())()()()(())(()())))(((()()))()((())()(())())()()(())()(()((()))(()()())))((()(())())(()()(()()))(()(())())()(())()(()()))(((()(())(())(())((()))(()()))(())()(()()()())(((()))(()()))(()())(()(())())())((()())()(()(())()())())(()((()))((())(()))()(())(()()()(())())())(()())(((()))()(()))(()(())(())())((()()(())()(()()))(()(()))(()()()(()())((())()))(())(()())((())())(())((()()))(()(()()())))(()()())(()))((())(()()()())((()())(()())(())((())()())()(()(()()())(())(()))(()(())()()))(()())(()(()))(((())())((()))(())()(()())()(()()()))(()()(())(()())()()((())))((())()(()))(()()()))(()()(()(())(())())(())(()()())(()())((()())(()))(())())(()(())(()())((()())()()(()))(())(()()())()()))
((()(())())((()())(())(()())(()())(())(()()()()((())()((())))(())(()())()())(((())())(())()())(())(()(())()(()())))(()())((()(())()())(()())((()))()((()()()())()(()()(())(()))(()(())()(()())))((())(())(())(())(()()))(()()()()(()()()(()))))(()(())()()(()))(()()(())()(()))(()(())()(())(())())(()()()(()())(()(())())(()(())(())())()(()(()())()())(()))((())(()()())((())())()()(()(()()())())()(()()()))) (((())(())(())((())(()()))(()()())(()(())()(())()())(())(()))(((()()())(()())())((()())()())()((()())()()(()()())(())())()()(()(()))(()()(())()())(()()))((()()((()))((())())()(()(()))(()))(()()(()))((())()()(()))((()()(()()())()())(()())(()())(()())(()()())()(()(()())(()(()))(())()()(()()()()))(()()())())(()((())()(())(()()())(())())()(()()())((())()(()())()(()()())())())(()()()()()())(()()(()(())(()))()(()()(()())()))((()())()(()))(()()))(()()()(())(()()()())(()(())(()())())()((()())))((((())((()))(()())()(())((())()))(()()())(())((())()()())((()())()()((())())())(()()())(()()())((())(()))((())()(())()()))((()())()()((())))((()())((())()(())(()))(()())(()()(()()()))()(())(()(())()))((()())()()()(())(()())(()(()()())()((())))((()())()())(()()))((())()(()()())((())))(()()()()(()()))((())()()(())())((())()()()())((()(()))(())(())(())()((())()(()()())())()(()()())()))(()(()())(())((())()())(())((()))(()()(()))(()))((()()()(()(()))(()())()())((())(())()(()())(()))(()(())(()))()((())(()()(())()())(())()(()(()()()()())())(()()))((()()())(())(())()()((())))(())((()))(()()()()()))((())((()())(())())((())((()))()()()())(())(())((()))(()()))((()())()((())()()()(()))(()())()(()()()())(()())))
((((()))()()())((()()())()()())((())()()(()(())())()(())((())()(())()()(()))((()())((())()())(())(())())(()()()))(()()()()(()))((()(())(()()))((())()()()((()()())(()()))(())(()))(()(())(()))((())((()())())()()()(()())((())))(()()())(()()(())()()(()))()(()()()())(()()()))(()()()((()))(()())()())((()()()()(())(()(())))()((()(()))())(()()())()()()((())()()))((())((())())(())())(()()(())((()())()()))) (((()()()(()))(()(()())()()())((((())()((())))()(()())()(())()())((())())(()()())()()((())(())()())(()()())(())(()()))(()()(()())(())(())())(()()()(())(())(()()(()))()(()()))((())(()((()))()())(())()(())(()()()()(()()))((()()()())()(()())(()(()()))()()(()))(()(()()())()(())(()())()())())((()()())()()(()))(((())()())()())(()()(())((())())((())()())(())))((()()()()(()))(())((()(())()()(()))(())()(()))()()()()()(()))((()()(())(()()))(())(()(()())(())()()()())(()())(()())(())())(()((())(())())()((())(())(())())(()())()(())(()()))((())(((())())()(()()())()(())(())(())())(((()))(())()(())()(()()))(())((()))((())(()))()(())((())()()))((()(())())(()()(()())(()))(())(((())(()()())(()))(()(()(())))((())()()(()()))()(()(())())(())((())()(())))(()()(())()(()))(((())()())()(()())()(()())()(()())(()))((()())(())(())((()())()()()((())())(()))(()(())(()()())(()()())()(()))(()())((())()((())())()(())))(()(()())())((((()))()(())(()()))(())(())()((())())))(((())()(())(()()))(()())(())(())(()()()(()))()((())())())((())(()(())(())())((()()()())(()()(()()())())()(()()(())()))(()(()())(()()))(()(()))(()(())()())(((()))(())((()))()(()(()())()())())(()())(()(())))((()())(())()(())(())()(())((())()()())()))
((()()()()(()))(((())()())()(())()()(())(()))(((())()(())())(()())()(((()))()(()())(()))(()())(()())((()()(())(())(()))()(())(())(()())(()())))(()()(()()()()())(())()()(()()(()))())((())()()())(()()(()(())()))((()()()())(())((())()()((()))()())(()()()())(()())((())())(()(()()())()((()())((())())()())())(((())())(()())(())()()(()))())(()()()()(())()(()()))(()(()())(()()(()))(())(()()()())(())(()))) ((()()(()()()())(()()()(())())(()()()())()(()())(()()))((()()())(((()))())(()())(((()()))(()()()(())())(())()(())()())((())()()())(()((()))(()()))()((()()()())()(())()(()(()))()())(()()))(()(()())(()()())(()()()()())(())(()()()())(()))((())()((())(()()))(()()()())(())(())(())(()()())(()))((()()()()((())())(()()(())()))(()()(())(())()((())))(()()(()()))((())(())()()(()(())())((())(()(())()))(()))(()()()())((()(())())(()(())()())((())()((())())(()()())(()())(()()(()))())(())()(()()()())(()(())((()))()(()())(()(()())(()))(()())())()(()()(())))((()())()((()))((()(()))()())(((())())(()())()()()(()()()()))(()(()))(()))(()(()))(()(()()())))((()()()(())()())()(())()()(()()())(((())())((())())())(()()))(((()((())())())(()()()())(())(()()())(())((()())()())()((())))(()()((())))((())()((()))()(()()(())()())((())(()()(())(()()))()()()(()()))(()()()())(()()()))(()((())())(())(())())((())()()(()))(()(())(())()()(()()()))((()((()))(())))(()((()))()(()()())(()())(()()()())(()())(()()))((())(())()()))((()()()()())(()()())(()())((())())((()()()(()))(()())()()(()()))(()(()())(()()())())(())((())()((()())(())()(()())())()(())(()()()()())(()())(()()()))(()))((()(())())(()())()(())(())(()()())(()(()))))
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment