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digits reversed

Source: Japanese MO 2003, Problem 2

April 20, 2007
algebrapolynomialnumber theory unsolvednumber theory

Problem Statement

We have two distinct positive integers a,ba,b with a∣ba|b. Each of a,ba,b consists of 2n2n decimal digits. The first nn digits of aa are identical to the last nn digits of bb, and vice versa. Determine a,ba,b.
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