CL-MO 2013 Problem 1

Find the sum of all $5$ -digit positive integers that they have only the digits $1, 2$ , and $5$ , none repeated more than three consecutive times.

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.