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Collections are a way for you to organize kata so that you can create your own training routines. Every collection you create is public and automatically sharable with other warriors. After you have added a few kata to a collection you and others can train on the kata contained within the collection.
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No. The digits of a number raised to a certain power should give the number itself. If 135 were a number of this set you should encounter an n, such that
1^n + 3^n + 5^n
should be equal to135
. There is not such integern
to fulfill this equality.135 does not fulfill the property explained.