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package DynamicProgramming;
import java.util.HashMap;
import java.util.Map;
import java.util.Scanner;
/**
* @author Varun Upadhyay (https://github.com/varunu28)
*/
public class Fibonacci {
private static Map map = new HashMap();
public static void main(String[] args) {
// Methods all returning [0, 1, 1, 2, 3, 5, ...] for n = [0, 1, 2, 3, 4, 5, ...]
Scanner sc = new Scanner(System.in);
int n = sc.nextInt();
System.out.println(fibMemo(n));
System.out.println(fibBotUp(n));
System.out.println(fibOptimized(n));
sc.close();
}
/**
* This method finds the nth fibonacci number using memoization technique
*
* @param n The input n for which we have to determine the fibonacci number
* Outputs the nth fibonacci number
**/
public static int fibMemo(int n) {
if (map.containsKey(n)) {
return map.get(n);
}
int f;
if (n