Problem Description
This is a problem of creating a new integer by sorting the digits of a given integer in descending order.
For example, if the given integer is 4213, the result after sorting the digits in descending order is 4321.
This type of problem is commonly encountered in C++ coding tests, and it tests the ability to solve problems based on an understanding of sorting algorithms.
Problem Input
An integer N (0 ≤ N ≤ 2,147,483,647) is given in the first line.
Problem Output
Output a new integer by sorting the digits of integer N in descending order.
Input Example
4213
Output Example
4321
Solution Process
To solve this problem, several steps must be followed.
The main steps are as follows.
1. Input
First, we need to receive an integer input.
In C++, we can use cin
to take input from the user.
The received integer will later be converted to a character type for the purpose of separating the digits.
2. Digit Separation
After converting the input integer to a character array, we can separate each digit individually.
In C++, the to_string
function can be used to convert an integer to a string.
Each character of the converted string can be stored in a vector.
3. Descending Sort
After separating the digits, they need to be sorted in descending order.
The sort
function in C++ can be used, and a comparison function can be applied to perform the descending sort.
Specifically, since the digits are sorted as characters, the ASCII values of the numbers must be considered during sorting.
4. Integer Conversion
After sorting the digits, convert them back to a string and then to an integer to obtain the final result.
Finally, use cout
to display the result.
Code Example
#include <iostream>
#include <vector>
#include <algorithm>
#include <string>
using namespace std;
int main() {
// 1. Input
int N;
cin >> N;
// 2. Digit Separation
string str = to_string(N);
vector digits(str.begin(), str.end());
// 3. Descending Sort
sort(digits.begin(), digits.end(), greater());
// 4. Integer Conversion
string sorted_str(digits.begin(), digits.end());
int result = stoi(sorted_str);
// Output result
cout << result << endl;
return 0;
}
Result
When the above code is executed, you can see the result of sorting the digits of the input integer in descending order.
For example, when 4213 is inputted, the output will show 4321.
Exception Handling
To solve this problem, exceptional situations must also be considered.
For instance, if the input value is 0, the output should also be 0.
Therefore, when writing the code, handling these exceptional situations should also be added.
Exception Handling Code Example
#include <iostream>
#include <vector>
#include <algorithm>
#include <string>
using namespace std;
int main() {
// 1. Input
int N;
cin >> N;
// 0 Exception Handling
if (N == 0) {
cout << 0 << endl;
return 0;
}
// 2. Digit Separation
string str = to_string(N);
vector digits(str.begin(), str.end());
// 3. Descending Sort
sort(digits.begin(), digits.end(), greater());
// 4. Integer Conversion
string sorted_str(digits.begin(), digits.end());
int result = stoi(sorted_str);
// Output result
cout << result << endl;
return 0;
}
Conclusion
In this lesson, we learned how to solve an algorithm problem that involves sorting digits in descending order.
We were able to solve the problem by using basic input/output and data structures in C++.
Problems of this type greatly aid in developing basic algorithmic skills.
Similar logic can be applied to other problems, so I hope you will practice by solving a variety of problems to improve your skills.