java practice set 7

/*
Java Tutorial: Practice Questions on Java Methods


1.       Write a Java method to print the multiplication table of a number n.
2.       Write a program using functions to print the following pattern:
               *
               **
               ***
               ****

3.       Write a recursive function to calculate the sum of first n natural numbers.
4.   Write a function to print the following pattern:
             ****
             ***
             **
             *

5.   Write a function to print the nth term of the Fibonacci series using recursion.
6.   Write a function to find the average of a set of numbers passed as arguments.
7.   Repeat problem 4 using Recursion.
8.   Repeat problem 2 using Recursion.
9.   Write a function to convert Celsius temperature into Fahrenheit.
10.   Repeat problem 3 using an iterative approach
 */






package com.company;

public class cwh_chapter7_practice_set {

    //problem1   multiplication of n
        static void multiplication(int n) {
            for (int i = 1; i <= 10; i++) {
                System.out.format("%d X %d = %d\n", n, i, n * i);
            }
        }

        //problem2 pattern ascending order of *
    //problem 8  pattern 1 using recursion
        static void pattern1(int n) {
            for (int i = 0; i < n; i++) {
                for (int j = 0; j < i + 1; j++) {
                    System.out.print("*");
                }
                System.out.println();
            }
        }
//using recursion
        static void pattern1_rec(int n) {
            if (n > 0) {
                pattern1_rec(n - 1);
                for (int i = 0; i < n; i++) {
                    System.out.print("*");
                }
                System.out.println();
            }
        }



    //problem4  pattern descending order of *
    //problem7  pattern 54 using recursion
    static void pattern2 (int n) {
        for (int i = 0; i < n; i++) {
            //for (int j = n-1; j > 1; j--)
             for(int j=n;j>i;j--)   {
                System.out.print("*");
            }
            System.out.println();
        }
    }
    //using recursion
    /*





     */
    static void pattern2_rec(int n) {
        if (n > 0) {
            for (int i = n - 1; i >= 0; i--) {
                System.out.print("*" + " ");
            }

            System.out.println();
            pattern2_rec(n - 1);
        }
    }



    // pattern1_rec(3)
        // pattern1_rec(2) + 3 times star and new line
        // pattern1_rec(1) + 2 times star and new line + 3 times star and new line
        // pattern1_rec(0) + 1 times star and new line + 2 times star and new line + 3 times star and new line


    //problem 3.Write a recursive function to calculate the sum of first n natural numbers.
        // sum(n) = 1 + 2 + 3... + n
        // sum(n) = 1 + 2 + 3... + n-1 + n
        // sum(n) = sum(n-1) + n
        // sum(3) = 3 + sum(2)
        // sum(3) = 3 + 2 + sum(1)
        // sum(3) = 3 + 2 + 1
       static int sumRec(int n) {
            // Base condition
            if (n == 1) {
                return 1;
            }
            return n + sumRec(n - 1);
        }


        // problem 5.  print the nth term of the Fibonacci series using recursion.
        static int fib(int n) {
        /* if(n==1){
            return 0;
        }
        else if(n==2){
            return 1;
        } */
            if (n == 1 || n == 2) {
                return n - 1;
            } else {
                return fib(n - 1) + fib(n - 2);
            }
        }



        //problem 6
        static int average_finder(int ...arr){
            int sum = 0;
            for (int num: arr) {
                sum = sum + num;
            }
            return sum/arr.length;
        }


//problem 9  Write a function to convert Celsius temperature into Fahrenheit.
    static float C_to_F(float c){
        float temp=(c * 9/5) + 32;
        return temp;
    }

        public static void main(String[] args) {
            // Problem 1
            multiplication(5);

            // Problem 2
             pattern1(3);
             //pattern1_rec(4);

            // Problem 3
             int c = sumRec(4);
             System.out.println(c);


            // Problem 4
            pattern2(4);


            // Problem 5
            //fibonacci series - 0, 1, 1, 2, 3, 5, 8, 13, 21, 34
            int result = fib(7);
            System.out.println(result);

            //problem 6   find the average of a set of numbers passed as arguments.
            int value = average_finder(5, 4, 9);
            System.out.println(value);

            //problem 7
            pattern2(6);
            pattern2_rec(5);

            // Problem 8
            pattern1(5);
            //pattern1_rec(4);

            //problem 9
            float temp =C_to_F(100);
            System.out.println(temp);


        }
    }

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