Nice idea about finding "the loop length" after which "endings" repeat :) Perhaps some other puzzle could be invented from it.
However my approach was simpler - just taking modulo by 10eX where X is amount of digits in the number we seek. Then numbers won't grow longer than this.
I suspect your and mine approaches are really two versions of the same fact, however
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Nice idea about finding "the loop length" after which "endings" repeat :) Perhaps some other puzzle could be invented from it.
However my approach was simpler - just taking modulo by
10eXwhereXis amount of digits in the number we seek. Then numbers won't grow longer than this.I suspect your and mine approaches are really two versions of the same fact, however