AMO · 2027 · Grades 6-7 · Self-study SET 24 Question 12

Each number from 1 through 16 is written in exactly one box of the 4 × 4 grid. A path is formed by placing consecutive numbers in adjacent boxes horizontally or vertically, but not diagonally. Two numbers are shown. Find the smallest possible sum of the numbers in the starred (*) boxes.



**Input:** Choose one option.