Briefly (1-2 lines) explain the purpose of the function foo. ```javapublic static int foo(int a, int b) { if (a < b) return 0; else return 1 + foo(a-b, b);}```### Explanation:This code snippet is a Java method named `foo` that calculates the integer division of `a` by `b` using recursion. Here's a detailed breakdown:- **Method Declaration:** The method is defined as `public static int foo(int a, int b)` which specifies that it is a public, static method returning an integer and takes two integer parameters `a` and `b`.- **Base Case:** The method checks if `a` is less than `b` using the `if` statement. If true, it returns `0`. This is the base case for the recursion, indicating that `a` can no longer be divided by `b`.- **Recursive Case:** If `a` is not less than `b`, the method enters the `else` statement. It returns `1 + foo(a-b, b)`, which effectively reduces `a` by `b` and repeats the process. This simulates the continuous subtraction of `b` from `a`, counting how many times this is possible—equivalent to the integer division result of `a` divided by `b`.This code demonstrates a recursive approach to dividing two numbers without using the division operator.

The above code divides a by b using the recursive procedure and returns the quotient. This can be verified by the code execution on different test results.public class Main{ public static int foo(int a ,int b) { if(a<b) return 0; else return (1 + foo(a-b,b)); } public static void main(String[] args) { System.out.println(foo(2000,10)); System.out.println(foo(2000,20)); System.out.println(foo(2000,30)); System.out.println(foo(2000,40)); }} Output :

Answered: 1 public static int foo(int a, int b) {…

Engineering

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1 public static int foo(int a, int b) { if (a < b) 2 3 return 0; 4 else return 1 + foo(a-b, b); 6 }

EBK JAVA PROGRAMMING

9th Edition

ISBN:9781337671385

Author:FARRELL

Publisher:FARRELL

Chapter2: Using Data

Section: Chapter Questions

Problem 14RQ

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Concept explainers

Types of Function

A function is a process or task that does some operation in the program. Some programming languages may contain built-in functions for certain commonly used tasks. Most programming languages also support user-defined functions, which means a user can write their own function to perform some operation. There are some libraries or header files that contain built-in functions for performing certain tasks.

Question

Briefly (1-2 lines) explain the purpose of the function foo.

```java
public static int foo(int a, int b) {
if (a < b)
return 0;
else
return 1 + foo(a-b, b);
}
```

### Explanation:

This code snippet is a Java method named `foo` that calculates the integer division of `a` by `b` using recursion. Here's a detailed breakdown:

- **Method Declaration:** The method is defined as `public static int foo(int a, int b)` which specifies that it is a public, static method returning an integer and takes two integer parameters `a` and `b`.

- **Base Case:** The method checks if `a` is less than `b` using the `if` statement. If true, it returns `0`. This is the base case for the recursion, indicating that `a` can no longer be divided by `b`.

- **Recursive Case:** If `a` is not less than `b`, the method enters the `else` statement. It returns `1 + foo(a-b, b)`, which effectively reduces `a` by `b` and repeats the process. This simulates the continuous subtraction of `b` from `a`, counting how many times this is possible—equivalent to the integer division result of `a` divided by `b`.

This code demonstrates a recursive approach to dividing two numbers without using the division operator.

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