Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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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?

Transcribed Image Text: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.
[画像: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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Transcribed Image Text: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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