Recursive Methods and Examples in Java
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The document discusses recursion in Java methods. It provides examples of recursive methods to calculate factorials, Fibonacci numbers, and other functions. Recursive methods must have a base case and move toward this base case in each recursive call. Tail recursion can be optimized into a loop by the compiler, while other recursion requires transforming the method into an iterative form using loops and additional data structures.
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Recursive Methods and Examples in Java
- 1. Recursion Carlos Delgado Kloos Dep. Ingeniería Telemática Univ. Carlos III de Madrid [email_address] Java: Recursion /
- 14. Example 3: Factorial Java: Recursion / fac(n) = n! fac(5)= 5*fac(4)= 5*24=120 fac(5)= 5*4*3*2*1 [email_address] [email_address] n fac(n) 0 1 1 1 2 2 3 6 4 24 5 120 ... ...
- 17. Example 4: Fibonacci [email_address] Java: Recursion / fib(5)= fib(4)+fib(3)= 5+3 n fib(n) 0 1 1 1 2 2 3 3 4 5 5 8 ... ...
- 20. Fibonacci [email_address] Java: Recursion / 1 1 1 2 3 2 5 1 1 fib(4) fib(3) fib(2) fib(2) fib(1) fib(1) fib(0) fib(1) fib(0)
- 22. Fibonacci [email_address] Java: Recursion / 5 5 5 5 5 fibo(4,0,1) fibo(3,1,1) fibo(2,1,2) fib(4) fibo(1,2,3)