Continue the preceding problem, now finding the smallest base string whose repetition forms a given nonempty string. For example, when given the string "hahahah find "ha". Make use of the function, is_repetition_of(str, base),from the preceding exercise which is declared in util.h. Write a recursive helper function that tries the given string and base, and if that doesn't work, tries again after moving the first character from the string to the base. Note that the repetition_base function should return the entire string if it isn't a repetition of a shorter prefix-after all, any string is a one-time repetition of itself. strings.cpp #include using namespace std; 3 1 2 #include "util.h" 4 5 string repetition_base_helper(string str, string base) { if (is_repetition_of(str, base)) ... 7 8 9 } 10 11 string repetition_base(string str) 12 {

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Hi, I got stuck with this problem. The problem I got when I compile is the word "mississippi"

**Finding the Smallest Base String for Repetitions**

In this exercise, the goal is to find the smallest base string whose repetition forms a given nonempty string. For instance, given the string "hahahaha", the desired base is "ha". 

### Approach

A recursive helper function is used to evaluate substrings and determine if they form repetitions of a base. If a particular base doesn't work, the function tries again with a new base by moving the first character from the string to the base.

### Code Explanation

1. **Include Necessary Libraries:**
   ```cpp
   #include <string>
   using namespace std;
   #include "util.h"
   ```

2. **Recursive Helper Function:**
   ```cpp
   string repetition_base_helper(string str, string base)
   {
       if (is_repetition_of(str, base)) . . .
   }
   ```
   - This function receives `str` and `base` as parameters.
   - It uses the `is_repetition_of(str, base)` function to check if `str` is a valid repetition of `base`.

3. **Main Function:**
   ```cpp
   string repetition_base(string str)
   {
       return repetition_base_helper(str.substr(1), str.substr(0, 1));
   }
   ```
   - `repetition_base` initiates the recursive helper function with the first character of `str` as the initial base and the rest as the main string.

### Important Note

The `repetition_base` function should return the entire string if it isn’t a repetition of a shorter prefix since any string is considered a one-time repetition of itself. 

By using these recursive checks and the helper function, you can efficiently determine the smallest repeating base for any given string.
Transcribed Image Text:**Finding the Smallest Base String for Repetitions** In this exercise, the goal is to find the smallest base string whose repetition forms a given nonempty string. For instance, given the string "hahahaha", the desired base is "ha". ### Approach A recursive helper function is used to evaluate substrings and determine if they form repetitions of a base. If a particular base doesn't work, the function tries again with a new base by moving the first character from the string to the base. ### Code Explanation 1. **Include Necessary Libraries:** ```cpp #include <string> using namespace std; #include "util.h" ``` 2. **Recursive Helper Function:** ```cpp string repetition_base_helper(string str, string base) { if (is_repetition_of(str, base)) . . . } ``` - This function receives `str` and `base` as parameters. - It uses the `is_repetition_of(str, base)` function to check if `str` is a valid repetition of `base`. 3. **Main Function:** ```cpp string repetition_base(string str) { return repetition_base_helper(str.substr(1), str.substr(0, 1)); } ``` - `repetition_base` initiates the recursive helper function with the first character of `str` as the initial base and the rest as the main string. ### Important Note The `repetition_base` function should return the entire string if it isn’t a repetition of a shorter prefix since any string is considered a one-time repetition of itself. By using these recursive checks and the helper function, you can efficiently determine the smallest repeating base for any given string.
**Transcription:**

**Continue the preceding problem, now finding the smallest base string whose repetition forms a given nonempty string. For example, when given the string "hahahaha", find "ha". Make use of the function, `is_repetition_of(str, base)`, from the preceding exercise which is declared in `util.h`.**

Write a recursive helper function that tries the given string and base, and if that doesn't work, tries again after moving the first character from the string to the base.

Note that the `repetition_base` function should return the entire string if it isn't a repetition of a shorter prefix—after all, any string is a one-time repetition of itself.

---

**strings.cpp**

```cpp
1  #include <string>
2  using namespace std;
3  #include "util.h"
4  
5  string repetition_base_helper(string str, string base)
6  {
7      if (is_repetition_of(str, base)) . . .
8
9  }
10
11 string repetition_base(string str)
12 {
13     return repetition_base_helper(str.substr(1), str.substr(0, 1));
14 }
```

**Explanation:**

The code snippet provides a framework to find the smallest base string whose repetition forms the given string. The main function `repetition_base` initializes the process by calling `repetition_base_helper` with the initial base as the first character of the string and the remaining string to process.

- **Line 1-3:** The code includes the necessary libraries and headers. It makes use of external utility functions declared in `util.h`.

- **Lines 5-9:** This defines the `repetition_base_helper` function, which accepts a string `str` and a `base`. It uses the function `is_repetition_of(str, base)` to check if `base` can repeatedly form `str`. The implementation details are omitted (```. . .```) and need to be completed.

- **Lines 11-14:** The `repetition_base` function initializes the recursive process. It extracts the first character of `str` to initialize `base` and processes the rest with `repetition_base_helper`.

This setup helps identify the smallest repeating unit by shifting characters to form different base strings during recursion, ensuring all possibilities are checked.
Transcribed Image Text:**Transcription:** **Continue the preceding problem, now finding the smallest base string whose repetition forms a given nonempty string. For example, when given the string "hahahaha", find "ha". Make use of the function, `is_repetition_of(str, base)`, from the preceding exercise which is declared in `util.h`.** Write a recursive helper function that tries the given string and base, and if that doesn't work, tries again after moving the first character from the string to the base. Note that the `repetition_base` function should return the entire string if it isn't a repetition of a shorter prefix—after all, any string is a one-time repetition of itself. --- **strings.cpp** ```cpp 1 #include <string> 2 using namespace std; 3 #include "util.h" 4 5 string repetition_base_helper(string str, string base) 6 { 7 if (is_repetition_of(str, base)) . . . 8 9 } 10 11 string repetition_base(string str) 12 { 13 return repetition_base_helper(str.substr(1), str.substr(0, 1)); 14 } ``` **Explanation:** The code snippet provides a framework to find the smallest base string whose repetition forms the given string. The main function `repetition_base` initializes the process by calling `repetition_base_helper` with the initial base as the first character of the string and the remaining string to process. - **Line 1-3:** The code includes the necessary libraries and headers. It makes use of external utility functions declared in `util.h`. - **Lines 5-9:** This defines the `repetition_base_helper` function, which accepts a string `str` and a `base`. It uses the function `is_repetition_of(str, base)` to check if `base` can repeatedly form `str`. The implementation details are omitted (```. . .```) and need to be completed. - **Lines 11-14:** The `repetition_base` function initializes the recursive process. It extracts the first character of `str` to initialize `base` and processes the rest with `repetition_base_helper`. This setup helps identify the smallest repeating unit by shifting characters to form different base strings during recursion, ensuring all possibilities are checked.
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