Smeech

<p> 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(<i>p</i> <i>e₁</i> <i>e₂</i>)where <i>p</i> is a real number between 0 and 1 (inclusive) and <i>e₁</i> and <i>e₂</i> are Smeech expressions. The value represented by a Smeech expression is as follows: </p> <ul> <li> An integer represents itself </li> <li> With probability <i>p</i>,(<i>p</i> <i>e₁</i> <i>e₂</i>)represents <i>x+y</i> where <i>x</i> is the value of <i>e₁</i> and <i>y</i> is the value of <i>e₂</i>; otherwise it represents <i>x-y</i>. </li> </ul> <p> Given a Smeech expression, what is its expected value? </p> <p> Input consists of several Smeech expressions, one per line, followed by a line containing (). For each expression, output its expected value to two decimal places. </p>

<p> Please Input Input Here </p>

<p> Please Input Output Here </p>