Question: Implement a Java method to calculate the Fibonacci number F(n) in O(log n) running time. Do not use any floating point numbers. (Use only integer

Implement a Java method to calculate the Fibonacci number F(n) in O(log n) running time. Do not use any floating point numbers. (Use only integer operations.). Prove that the algorithm is correct and the running time is O(log n).

Strictly in Java.

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