A piece of iron wire, half of it was used for the first time, more than 1 meter, and the remaining half was used for the second time, and the remaining half was more than 1 meter. As a result, there was still 3 meters of iron wire left. How long was this iron wire originally?
一根铁丝，第一次用去了它的一半多1米，第二次用去了剩余的一半还多1米，结果这根铁丝还剩3米，这根铁丝原来长多少米？
<gadget id="calculator">3 + 1</gadget>
<output>4</output>

<gadget id="calculator">4 * 2</gadget>
<output>8</output>

<gadget id="calculator">8 + 1</gadget>
<output>9</output>

<gadget id="calculator">9 * 2</gadget>
<output>18</output>

<result>18</result>