There are 3 numbers arranged in order: 3, 9, 8. For two adjacent numbers, subtract the number on the left from the number on the right. The difference between the two numbers can generate a new number string : 3, 6, 9, -1, 8, this is called the first operation; after doing the same operation for the second time, a new number string can also be generated: 3, 3, 6, 3, 9, -10, -1, 9, 8, and so on. Ask: What is the sum of all numbers in the new number string generated after the 100th operation from the number string 3, 9, 8.
有依次排列的3个数：3，9，8，对相邻的两个数，都用右边的数减去左边的数，所得之差在这两个数之间，可产生一个新数串：3，6，9，-1，8，这称为第一次操作；做第二次同样的操作后，也可以产生一个新数串：3，3，6，3，9，-10，-1，9，8，依此类推，问：从数串3，9，8开始操作第100次以后所产生的那个新数串的所有数之和是多少．
<gadget id="calculator">3 + 9 + 8</gadget>
<output>20</output>

<gadget id="calculator">3 + 3 + (-10) + 9</gadget>
<output>5</output>

<gadget id="calculator">100 * 5</gadget>
<output>500</output>

<gadget id="calculator">20 + 500</gadget>
<output>520</output>

<result>520</result>