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Question: emed on return rom a ecasome compil reduce stack size...

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emed on return rom a ecaSome compil reduce stack size. ers can optimize ta uiz this chapter online at the book Companion Website. OGRAMMIXERCISES Sections 18.2 ano 18.1 (Fa Using the BigInteger class introduced in Section 109, you find tne tactorial for a large number (e.g. 100!). Implement the factoria methed using recursion. Write a program that prompts the user to enter an ger and displays its factorial. 18.2 (Fibonacci numbers) Rewrite the fib method in Listing 18.2 using iterations Hint. To compute fib(n) without recursion, you need to obtain fib(o and fib(n - 1) first. Let fo and f1 denote the two previous Fibonaciu bers. The current Fibonacci number would then be fo + f1. The algorithmc be described as follows: fo 0; 11 For fib(0) f1 1 II For fib(1) for (int i 1; 1 <n; i++) ( currentFib #0 f1 ; fo +f1; currentFib; I After the loop, currentFib is fib(n) est program that prompts the user to enter an inde prompts the user to enter an index and Fibonacci number.
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