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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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The problem said "left-associativity of all operators but ^". So I think "^" has right-associativity.
For example, "2^3^4" will be interpreted into "23^4^" with your solution. But it should be "234^^" if "^" has right-associativity.