HBC24620数颜色,枚举[USACO 2011 Feb S]Best Parenthesis题解

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Recently, the cows have been competing with strings of balanced parentheses and comparing them with each other to see who has the best one.Such strings are scored as follows : the string '()' has score 1; if 'A' has score s then '' has score 2*s; and if 'A' and 'B' have scores s and s, respectively, then 'AB' has score s+s. For example, s = s+s = 2*s+1 = 2*1+1 = 3.Bessie wants to beat all of her fellow cows, so she needs to calculate the score of some strings. Given a string of balanced parentheses of length N (2

Recently, the cows have been competing with strings of balanced parentheses and comparing them with each other to see who has the best one. Such strings are scored as follows (all strings are balanced): the string '()' has score 1; if 'A' has score s(A) then '(A)' has score 2*s(A); and if 'A' and 'B' have scores s(A) and s(B), respectively, then 'AB' has score s(A)+s(B). For example, s('(())()') = s('(())')+s('()') = 2*s('()')+1 = 2*1+1 = 3. Bessie wants to beat all of her fellow cows, so she needs to calculate the score of some strings. Given a string of balanced parentheses of length N (2 <= N <= 100,000), help Bessie compute its score.

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标签： HBC24620数颜色 枚举[USACO 2011 Feb S]Best Parenthesis题解