Question: A tree in a Fibonacci heap is path - like if all of its nodes lie on a single, downward path from the root. Similarly,

A tree in a Fibonacci heap is path-like if all of its nodes lie on a single, downward path from the root. Similarly, a Fibonacci heap is path-like if and only if it contains exactly one tree and that tree is considered path-like. For this question, you can assume that the keys associated with the Fibonacci heap are arbitrary integers.
Let H be an i-node path-like Fibonacci heap, where i >=2. Exhibit a sequence of six Fibonacci heap operations that transforms H into an (i +1)-node path-like Fibonacci heap. Be sure to explain and/or draw the state of the heap after each step.
NOTE: The beginning state of the heap is path-like with at least 2 elements already in the path-like tree; i.e. if there are 2 elements in the path-like heap to begin with, there must be 3 elements in the path-like heap at the end of your six operations.

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