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For a Fibonacci heap H, we want to support a new operation changeKey(H, x, k) that changes the key of x to the value k. Give an efficient implementation of changeKey(), and analyze the amortized running time of your implementation for the cases in which k is greater than or less than the current key of x.

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For a Fibonacci heap H, we want to support a new operation changeKey(H, x, k) that changes the key o...
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