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sequence of $N$ (decimal) digits on a board

Source: All-Russian 2007

May 4, 2007
algorithmcombinatorics unsolvedcombinatorics

Problem Statement

Arutyun and Amayak show another effective trick. A spectator writes down on a board a sequence of NN (decimal) digits. Amayak closes two adjacent digits by a black disc. Then Arutyun comes and says both closed digits (and their order). For which minimal NN they may show such a trick? K. Knop, O. Leontieva