A group of monkeys divided a pile of peaches, the first monkey took half and one, the second monkey took the remaining half and one, the third monkey took the second monkey's half and zero One...until the 6th monkey just took it. How many peaches are there in this pile?
一群猴子分一堆桃子，第一个猴子取走了一半零一个，第二个猴子取走了剩下的一半零一个，第三个猴子取走了第二个猴子剩下的一半零一个…直到第6个猴子恰好取完．这堆桃子一共有多少个？
<gadget id="calculator">0 + 1</gadget>
<output>1</output>

<gadget id="calculator">1 * 2</gadget>
<output>2</output>

<gadget id="calculator">2 + 1</gadget>
<output>3</output>

<gadget id="calculator">3 * 1 * 2</gadget>
<output>6</output>

<gadget id="calculator">6 + 1</gadget>
<output>7</output>

<gadget id="calculator">7 * 1 * 2</gadget>
<output>14</output>

<gadget id="calculator">14 + 1</gadget>
<output>15</output>

<gadget id="calculator">15 * 1 * 2</gadget>
<output>30</output>

<gadget id="calculator">30 + 1</gadget>
<output>31</output>

<gadget id="calculator">31 * 1 * 2</gadget>
<output>62</output>

<gadget id="calculator">62 + 1</gadget>
<output>63</output>

<gadget id="calculator">63 * 1 * 2</gadget>
<output>126</output>

<result>126</result>