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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 don't know if you are wrong. It may be a good exercise but there are more straightforward approaches. The input is just a 8 * 8 array.
You are on the wrong track. No need no graph theory to solve it.