How to resolve the algorithm Sorting algorithms/Bogosort step by step in the C++ programming language
How to resolve the algorithm Sorting algorithms/Bogosort step by step in the C++ programming language
Table of Contents
Problem Statement
Bogosort a list of numbers.
Bogosort simply shuffles a collection randomly until it is sorted.
"Bogosort" is a perversely inefficient algorithm only used as an in-joke.
Its average run-time is O(n!) because the chance that any given shuffle of a set will end up in sorted order is about one in n factorial, and the worst case is infinite since there's no guarantee that a random shuffling will ever produce a sorted sequence.
Its best case is O(n) since a single pass through the elements may suffice to order them.
Pseudocode:
The Knuth shuffle may be used to implement the shuffle part of this algorithm.
Let's start with the solution:
Step by Step solution about How to resolve the algorithm Sorting algorithms/Bogosort step by step in the C++ programming language
The provided C++ code defines a sorting algorithm called "bogo sort," a humorous and inefficient method for sorting a sequence of elements. Here's a detailed explanation of the code:
- Header Includes: The code includes several header files:
<algorithm>
: Provides various sorting algorithms and related functions.<iostream>
: For input and output operations.<iterator>
: For working with iterators, which are used to traverse containers.<random>
: Provides random number generation capabilities.
- Function Template
bogo_sort
: This function is defined as a template that takes three parameters:
RandomAccessIterator begin
: An iterator to the beginning of the range to be sorted.RandomAccessIterator end
: An iterator to the end of the range to be sorted.Predicate p
(optional): A predicate (a function that returns a boolean) used to compare elements and determine the sorting order. If not provided, it defaults to<
for ascending order.
- Body of
bogo_sort
Function:
- It starts by creating a random number generator
generator
using the Mersenne Twister engine and the system's random devicerd
as a seed. - The
while
loop continues until the elements in the range are sorted:std::is_sorted(begin, end, p)
checks if the elements are sorted based on the provided predicatep
.- If not sorted,
std::shuffle(begin, end, generator)
is called to randomly shuffle the elements in the range.
-
Function Overload: There is an overloaded version of the
bogo_sort
function that takes only two iteratorsbegin
andend
. It uses the default predicatestd::less
for sorting in ascending order. -
main
Function:
- It declares an array
a
of integers. - Calls
bogo_sort
to sort the arraya
in ascending order using the default predicate. - Uses
std::copy
to print the sorted elements to the console.
The key aspect of the bogo sort algorithm is the random shuffling of elements. It repeatedly shuffles the elements until they happen to be in the correct order. This approach is humorous because it relies on chance rather than any efficient sorting technique. In practice, bogo sort should not be used for sorting large datasets due to its incredibly inefficient nature.
Source code in the cpp programming language
#include <algorithm>
#include <iostream>
#include <iterator>
#include <random>
template <typename RandomAccessIterator, typename Predicate>
void bogo_sort(RandomAccessIterator begin, RandomAccessIterator end,
Predicate p) {
std::random_device rd;
std::mt19937 generator(rd());
while (!std::is_sorted(begin, end, p)) {
std::shuffle(begin, end, generator);
}
}
template <typename RandomAccessIterator>
void bogo_sort(RandomAccessIterator begin, RandomAccessIterator end) {
bogo_sort(
begin, end,
std::less<
typename std::iterator_traits<RandomAccessIterator>::value_type>());
}
int main() {
int a[] = {100, 2, 56, 200, -52, 3, 99, 33, 177, -199};
bogo_sort(std::begin(a), std::end(a));
copy(std::begin(a), std::end(a), std::ostream_iterator<int>(std::cout, " "));
std::cout << "\n";
}
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