A linked list has a cycle such that if you start at any node p and follow a sufficient number of subsequent links, you will end up at node p. Not that p does not have to be the list's initial node. Assume you are given an N-node linked list. The value of N, on the other hand, remains unknown. 1. Create an O(N) algorithm to check if a list includes a cycle. You may add O(N) more spaces. 2. Rep the previous question, this time using just O(1) more space. (Hint: Use two pointers that start at the beginning of the list but progress at separate rates.)

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