The teacher wrote a number of consecutive natural numbers starting from 1, 1, 2, 3, ..., 200 on the blackboard, and then erased the numbers with the same parity, and wrote the average number, after repeating this many times, What is the largest number left at the end?
老师在黑板上写出了若干个从1开始的连续自然数1，2，3，…，200，后来擦掉其中奇偶性相同的数，并将其平均数写上，这样反复进行多次后，最后留下的数最大是多少？
<gadget id="calculator">197 + 199</gadget>
<output>396</output>

<gadget id="calculator">396 / 2</gadget>
<output>198</output>

<gadget id="calculator">198 + 200</gadget>
<output>398</output>

<gadget id="calculator">398 / 2</gadget>
<output>199</output>

<result>199</result>