Attached is a programming question and its Java solution.My question regarding the recursion part: 1. After calling the recursion in void main, the line "for(int j = i; j <= n; j++)" tells us the recursive method will call itself for n times. If I input "5", how come there are 6 total different permutations (or input "6", total = 10, etc.)? If the recursive method gets called n times, shouldnt there be n different permutations? Ryuk the shinigami wants to find out the different ways to add up to N apples! For example, if you have 3 apples, thepossible ways are:3=1+1+13=1+2total=2Ryuk wants you, to output the solution in the above format given the number of apples, N.Note: The sequence which you output the solution does not matter, meaning:3=1+1+13=1+2and3=1+23=1+1+1are both accepted. static int count=0;static void printOutput(ArrayList arr){count++;int sum=0;for (int i=0;i arr,int i,int n){if(n==0){printOutput (arr);}for(int ii; j <= n; j++){arr.add(j);findways (arr, ji, n: n - j);arr.remove( index: arr.size() - 1);}}public static void main(String[] args)throws IOException {BufferedReader br=new BufferedReader(new InputStreamReader (System.in));int n=Integer.parseInt(br.readLine());ArrayList arr = new ArrayList<>();findways (arr, : 1,n);System.out.println("total="+(count-1));

The recursive method used in the main method of program is findways (arr, i:1,n); In main function,…

Answered: static int count=0; static void…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

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Attached is a programming question and its Java solution.

My question regarding the recursion part:

1. After calling the recursion in void main, the line "for(int j = i; j <= n; j++)" tells us the recursive method will call itself for n times. If I input "5", how come there are 6 total different permutations (or input "6", total = 10, etc.)? If the recursive method gets called n times, shouldnt there be n different permutations?

Ryuk the shinigami wants to find out the different ways to add up to N apples! For example, if you have 3 apples, the
possible ways are:
3=1+1+1
3=1+2
total=2
Ryuk wants you, to output the solution in the above format given the number of apples, N.
Note: The sequence which you output the solution does not matter, meaning:
3=1+1+1
3=1+2
and
3=1+2
3=1+1+1
are both accepted.

static int count=0;
static void printOutput(ArrayList<Integer> arr){
count++;
int sum=0;
for (int i=0;i<arr.size();i++){
sum+=arr.get (i);
}
if (arr.size() != 1){
System.out.print(sum+"=");
for(int i=0;i<arr.size()-1;i++){
System.out.print(arr.get(i)+"+");
}
System.out.println(arr.get(arr.size()-1));|
}
}
static void findWays (ArrayList<Integer> arr,int i,int n)
{
if(n==0){
printOutput (arr);
}
for(int i
i; j <= n; j++)
{
arr.add(j);
findways (arr, ji, n: n - j);
arr.remove( index: arr.size() - 1);
}
}
public static void main(String[] args)throws IOException {
BufferedReader br=new BufferedReader(new InputStreamReader (System.in));
int n=Integer.parseInt(br.readLine());
ArrayList<Integer> arr = new ArrayList<>();
findways (arr, : 1,n);
System.out.println("total="+(count-1));

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