интересная комбинаторная задачка
Arranged in a circle are 2010 digits, each of them equal to 1, 2, or 3. For each positive integer k, it's known that in any block of 3k consecutive digits, each of the digits appears at most k+10 times. Prove that there is a block of several consecutive digits with the same number of 1s, 2s, and 3s.
спасибо, очень красивое решение