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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.
Get started now by creating a new collection.
I like the usage of a Direction enum. Should have used that instead of plain 1/-1 factor :)
"^" is an xor logical operator in java. You are looking for "Math.pow(double a, double b)".