VTMO 2026 - Grade 9 - Semifinal - SET 05 - Self-study Question 24

Distinct digits $a,b,c$ satisfy: the number formed by2022 copies of $a$ followed by2022 copies of $b$, plus1, equals the square of the number formed by2022 copies of $c$, plus1 inside the square. Find the largest possible $a+b+c$.