Problem 282

The Ackermann function

For non-negative integers `m`, `n`, the Ackermann function `A`(`m`, `n`) is defined as follows:

For example `A`(1, 0) = 2, `A`(2, 2) = 7 and `A`(3, 4) = 125.

Find `A`(`n`, `n`) and give your answer mod 14^{8}.

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