2193. Smeech

单点时限: 2.0 sec

内存限制: 256 MB

Professor Octastichs has invented a new programming language, Smeech. An expression in Smeech may be a positive or negative integer, or may be of the form (p e1 e2) where p is a real number between 0 and 1 (inclusive) and e1 and e2 are Smeech expressions. The value represented by a Smeech expression is as follows:

  • An integer represents itself

  • With probability p, (p e1 e2) represents x + y where x is the value of e1 and y is the value of e2; otherwise it represents x - y.

Given a Smeech expression, what is its expected value?

输入格式

Input consists of several Smeech expressions, one per line, followed by a line containing ().

输出格式

For each expression, output its expected value to two decimal places.

样例

Input
7
(.5 3 9)
()
Output
7.00
3.00

3 人解决,9 人已尝试。

3 份提交通过,共有 19 份提交。

9.0 EMB 奖励。

创建: 16 年,3 月前.

修改: 7 年,2 月前.

最后提交: 2 年,4 月前.

来源: Waterloo Local Contest, 2007.9.29

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