Arrange 13 different integers not less than 1 in a row, so that the sum of any adjacent 4 integers is not less than 100, find the minimum value of the sum of these 13 integers.
将不小于1的13个不同整数排成一列，使其任意相邻的4个整数的和都不小于100，求这13个整数之和的最小值多少．
<gadget id="calculator">100 * 3</gadget>
<output>300</output>

<gadget id="calculator">300 + 1</gadget>
<output>301</output>

<result>301</result>