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BNF for this problem is....!<formula> ::= [<number>] <sequence> { '+' [<number>] <sequence> }
<sequence> ::= <element> [<number>] { <element> [<number>] }
<element> ::= <chem> | '(' <sequence> ')'
<chem> ::= <uppercase_letter> [ <lowercase_letter> ]
<uppercase_letter> ::= 'A'..'Z'
<lowercase_letter> ::= 'a'..'z'
<number> ::= '1'..'9' { '0'..'9' }
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