10 different positive integers are arranged in a row. If the sum of any three adjacent numbers is greater than 20, what is the smallest sum of these 10 positive integers?
10个不相同的正整数排成一排．如果任何三个相邻数和都大于20，这10个正整数的和最小是多少．
<gadget id="calculator">1 + 5 + 15 + 2 + 6 + 13 + 3 + 7 + 11 + 4</gadget>
<output>67</output>

<result>67</result>