farmer carries a basket of eggs to sell, the first time he sells half of the eggs and more than 2 eggs, the second time he sells the remaining half and more than 2 eggs, and the third time he sells the remaining half and more than 2 eggs , in the end there are 3 eggs left in the basket, how many eggs are there in the farmer's basket?
一个农夫提着一篮子鸡蛋去卖，第一次卖掉了全部的一半多2个，第二次卖掉了剩下的一半多2个，第三次卖掉了剩下的一半多2个，最后篮子里还剩下3个鸡蛋，求农夫篮子里原有多少个鸡蛋？
<gadget id="calculator">3 + 2</gadget>
<output>5</output>

<gadget id="calculator">5 * 2</gadget>
<output>10</output>

<gadget id="calculator">10 + 2</gadget>
<output>12</output>

<gadget id="calculator">12 * 2</gadget>
<output>24</output>

<gadget id="calculator">24 + 2</gadget>
<output>26</output>

<gadget id="calculator">26 * 2</gadget>
<output>52</output>

<result>52</result>