
Sorting Algorithm

This is a sorting algorithm.   It may be applied to a set of data in order to sort it.    
For comparing various sorts, see compare sorts.  
For other sorting algorithms,   see sorting algorithms,   or:

O(n logn) sorts
Heap sort |
Merge sort |
Patience sort |
Quick sort
O(n log2n) sorts
Shell Sort
O(n2) sorts
Bubble sort |
Cocktail sort |
Cocktail sort with shifting bounds |
Comb sort |
Cycle sort |
Gnome sort |
Insertion sort |
Selection sort |
Strand sort
other sorts
Bead sort |
Bogo sort |
Common sorted list |
Composite structures sort |
Custom comparator sort |
Counting sort |
Disjoint sublist sort |
External sort |
Jort sort |
Lexicographical sort |
Natural sorting |
Order by pair comparisons |
Order disjoint list items |
Order two numerical lists |
Object identifier (OID) sort |
Pancake sort |
Quickselect |
Permutation sort |
Radix sort |
Ranking methods |
Remove duplicate elements |
Sleep sort |
Stooge sort |
[Sort letters of a string] |
Three variable sort |
Topological sort |
Tree sort


Task

Given an integer   n,   return   1──►n   (inclusive)   in lexicographical order.



Show all output here on this page.



Example

Given   13,

return:   [1,10,11,12,13,2,3,4,5,6,7,8,9].

#include <algorithm>
#include <iostream>
#include <numeric>
#include <string>
#include <vector>
 
void lexicographical_sort(std::vector<int>& numbers) {
    std::vector<std::string> strings(numbers.size());
    std::transform(numbers.begin(), numbers.end(), strings.begin(),
                   [](int i) { return std::to_string(i); });
    std::sort(strings.begin(), strings.end());
    std::transform(strings.begin(), strings.end(), numbers.begin(),
                   [](const std::string& s) { return std::stoi(s); });
}
 
std::vector<int> lexicographically_sorted_vector(int n) {
    std::vector<int> numbers(n >= 1 ? n : 2 - n);
    std::iota(numbers.begin(), numbers.end(), std::min(1, n));
    lexicographical_sort(numbers);
    return numbers;
}
 
template <typename T>
void print_vector(std::ostream& out, const std::vector<T>& v) {
    out << '[';
    if (!v.empty()) {
        auto i = v.begin();
        out << *i++;
        for (; i != v.end(); ++i)
            out << ',' << *i;
    }
    out << "]\n";
}
 
int main(int argc, char** argv) {
    for (int i : { 0, 5, 13, 21, -22 }) {
        std::cout << i << ": ";
        print_vector(std::cout, lexicographically_sorted_vector(i));
    }
    return 0;
}