USE C++!! Given a string you need to print all possible strings that can be made by placing spaces (zero or one) in between them. The output should be printed in sorted increasing order of strings.  You don't need to read input or print anything. Your task is to complete the function vector permutation(string S) which takes the string S as input parameters and returns the sorted array of the string denoting the different permutation (DON'T ADD '(' and ')' it will be handled by the driver code only). Expected Time Complexity: O(2^n) Expected Auxiliary Space: O(1)   CONSTRAINTS: 1 < |S| < 10 S only contains lowercase and Uppercase English letters.

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USE C++!!

Given a string you need to print all possible strings that can be made by placing spaces (zero or one) in between them. The output should be printed in sorted increasing order of strings. 

You don't need to read input or print anything. Your task is to complete the function vector<string> permutation(string S) which takes the string S as input parameters and returns the sorted array of the string denoting the different permutation (DON'T ADD '(' and ')' it will be handled by the driver code only).

Expected Time Complexity: O(2^n)
Expected Auxiliary Space: O(1)

 

CONSTRAINTS:
1 < |S| < 10
S only contains lowercase and Uppercase English letters.

 

ATTACHED BELOW ARE THE REQUIRED DRIVER CODES

```cpp
// { Driver Code Starts
#include <bits/stdc++.h>
using namespace std;

// } Driver Code Ends
class Solution{
public:
    vector<string> permutation(string S){
        // Code Here   
    }
};

// { Driver Code Starts.
int main(){
    int t;
    cin >> t;
    while(t--){
        string S;
        cin >> S;
        vector<string> ans;
        Solution obj;
        ans = obj.permutation(S);
        for(int i=0; i < ans.size(); i++){
            cout << "(" << ans[i] << ")";
        }
        cout << endl;
    }
}
// } Driver Code Ends
```

### Explanation

This C++ code is designed to calculate permutations of a given string. Here's how the code is structured:

1. **Includes and Namespace:**
   - `#include <bits/stdc++.h>`: Includes all standard C++ libraries.
   - `using namespace std;`: Allows usage of standard library components without prefixing them with `std::`.

2. **Class Definition:**
   - The class `Solution` contains a public member function `permutation`, which takes a string `S` as input and returns a `vector<string>`. The actual implementation of the permutation logic inside the function is missing (indicated by `// Code Here`).

3. **Main Function:**
   - Reads an integer `t` which denotes the number of test cases.
   - For each test case, it:
     - Reads a string `S`.
     - Creates an instance of `Solution`.
     - Calls the `permutation` method to compute permutations of `S`.
     - Prints each permutation in the format `(permutation)`, separated by space.
     - Outputs a newline after printing all permutations for a test case.

### Diagram Explanation

There is no visual diagram in the code. The focus is on string permutation logic, which must be completed inside the `permutation` function for the full functionality.
Transcribed Image Text:```cpp // { Driver Code Starts #include <bits/stdc++.h> using namespace std; // } Driver Code Ends class Solution{ public: vector<string> permutation(string S){ // Code Here } }; // { Driver Code Starts. int main(){ int t; cin >> t; while(t--){ string S; cin >> S; vector<string> ans; Solution obj; ans = obj.permutation(S); for(int i=0; i < ans.size(); i++){ cout << "(" << ans[i] << ")"; } cout << endl; } } // } Driver Code Ends ``` ### Explanation This C++ code is designed to calculate permutations of a given string. Here's how the code is structured: 1. **Includes and Namespace:** - `#include <bits/stdc++.h>`: Includes all standard C++ libraries. - `using namespace std;`: Allows usage of standard library components without prefixing them with `std::`. 2. **Class Definition:** - The class `Solution` contains a public member function `permutation`, which takes a string `S` as input and returns a `vector<string>`. The actual implementation of the permutation logic inside the function is missing (indicated by `// Code Here`). 3. **Main Function:** - Reads an integer `t` which denotes the number of test cases. - For each test case, it: - Reads a string `S`. - Creates an instance of `Solution`. - Calls the `permutation` method to compute permutations of `S`. - Prints each permutation in the format `(permutation)`, separated by space. - Outputs a newline after printing all permutations for a test case. ### Diagram Explanation There is no visual diagram in the code. The focus is on string permutation logic, which must be completed inside the `permutation` function for the full functionality.
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