Write a recursive function (compute1(n) ) that takes one parameter and implements the following recursive definition: compute1(n) = 5 compute1(n) = compute1(n-1) + n compute1(n) = compute1(n-2) + n if n is negative if 0 <= n<=10 if n>10 Write a program to test the function.

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I need help with this C++ advanced data structure task. It needs to be in .cpp file and .h file. My attempt into placing into .cpp file and .h file with the main.cpp complied into an error. I have been using the free online complier https://www.onlinegdb.com/

Write a recursive function (compute1(n) ) that takes one parameter and implements the following
recursive definition:
compute1(n) = 5
compute1(n) = compute1(n-1) + n
compute1(n) = compute1 (n-2) + n
if n is negative
if 0 <=n <=10
if n>10
Write a program to test the function.
Transcribed Image Text:Write a recursive function (compute1(n) ) that takes one parameter and implements the following recursive definition: compute1(n) = 5 compute1(n) = compute1(n-1) + n compute1(n) = compute1 (n-2) + n if n is negative if 0 <=n <=10 if n>10 Write a program to test the function.
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I ran this in the free online complier (GDB) and I get the following results

### Understanding Recursion and Compilation Errors in C++

#### Code Sample: Recursive Function Example

Below is an example of a simple recursive function in C++:

```cpp
#include "Compute.h"

int compute1(int n) {
    if (n < 0) {
        return 5;
    } else if (n >= 0 && n <= 10) {
        return compute1(n - 1) + n;
    } else {
        return compute1(n - 2) + n;
    }
}
```

#### Explanation:

1. **Function Declaration and Definition**:
   - The function `compute1` takes an integer `n` as input.
   - The function is defined in the `Compute.cpp` file and also declared in the `Compute.h` header file.

2. **Base Condition**:
   - If `n` is less than `0`, the function returns `5`.

3. **Recursive Conditions**:
   - If `n` is between `0` and `10` (inclusive), it calls itself with `n-1` and adds `n` to the result.
   - If `n` is greater than `10`, it calls itself with `n-2` and adds `n` to the result.

This recursive function will keep calling itself with decremented values of `n` until it reaches a base condition where `n < 0`.

#### Compilation Error:

At the bottom of the screen, there is a red error message indicating a compilation failure:

```
Compilation failed due to following error(s).

Compute.cpp:(.text+0x0): multiple definition of `compute1(int)'; /tmp/ccCEQrLg.o:main.cpp:(.text+0x0): first defined here
collect2: error: ld returned 1 exit status
```

**Understanding the Error Message:**

1. **Multiple Definitions**:
   - The error indicates that the function `compute1(int)` is defined more than once in the project files.
   - Specifically, it is defined in both `Compute.cpp` and `main.cpp`.

2. **Resolution**:
   - To resolve this issue, ensure that the function `compute1(int)` is defined only once, ideally in the `Compute.cpp` file.
   - The function can be declared in the header file (`Compute.h`), which should be included in other source files that need to use the function.

#####
Transcribed Image Text:### Understanding Recursion and Compilation Errors in C++ #### Code Sample: Recursive Function Example Below is an example of a simple recursive function in C++: ```cpp #include "Compute.h" int compute1(int n) { if (n < 0) { return 5; } else if (n >= 0 && n <= 10) { return compute1(n - 1) + n; } else { return compute1(n - 2) + n; } } ``` #### Explanation: 1. **Function Declaration and Definition**: - The function `compute1` takes an integer `n` as input. - The function is defined in the `Compute.cpp` file and also declared in the `Compute.h` header file. 2. **Base Condition**: - If `n` is less than `0`, the function returns `5`. 3. **Recursive Conditions**: - If `n` is between `0` and `10` (inclusive), it calls itself with `n-1` and adds `n` to the result. - If `n` is greater than `10`, it calls itself with `n-2` and adds `n` to the result. This recursive function will keep calling itself with decremented values of `n` until it reaches a base condition where `n < 0`. #### Compilation Error: At the bottom of the screen, there is a red error message indicating a compilation failure: ``` Compilation failed due to following error(s). Compute.cpp:(.text+0x0): multiple definition of `compute1(int)'; /tmp/ccCEQrLg.o:main.cpp:(.text+0x0): first defined here collect2: error: ld returned 1 exit status ``` **Understanding the Error Message:** 1. **Multiple Definitions**: - The error indicates that the function `compute1(int)` is defined more than once in the project files. - Specifically, it is defined in both `Compute.cpp` and `main.cpp`. 2. **Resolution**: - To resolve this issue, ensure that the function `compute1(int)` is defined only once, ideally in the `Compute.cpp` file. - The function can be declared in the header file (`Compute.h`), which should be included in other source files that need to use the function. #####
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