Write 1, 2, 3, 4, 5, 6 on a circle, and then write down the sum of three consecutive numbers on the circle, then you can get six numbers a1, a2, a3, a4, a5, a6, and The maximum value among these six numbers is recorded as A. What is the minimum value of A among all filling methods?
将1、2、3、4、5、6写在一圆周上，然后把圆周上连续三个数之和写下，则可得到六个数a1、a2、a3、a4、a5、a6，将这六个数中最大值记为A．请问在所有填写方式中，A的最小值是什么？
<gadget id="calculator">1 + 2 + 3 + 4 + 5 + 6</gadget>
<output>21</output>

<gadget id="calculator">21 - 10</gadget>
<output>11</output>

<result>11</result>