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data/problems/282.yml

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---
:id: 282
:name: The Ackermann function
:url: https://projecteuler.net/problem=282
:content: |+
  For non-negative integers <var>m</var>, <var>n</var>, the Ackermann function <var>A</var>(<var>m</var>, <var>n</var>) is defined as follows:

   ![p282_formula.gif]({{ images_dir }}/p282_formula.gif)

  For example <var>A</var>(1, 0) = 2, <var>A</var>(2, 2) = 7 and <var>A</var>(3, 4) = 125.

  Find ![p282formula3.gif]({{ images_dir }}/p282formula3.gif)<var>A</var>(<var>n</var>, <var>n</var>) and give your answer mod 14<sup>8</sup>.