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Code Issues Projects Releases Wiki Activity

rename Sorting -> sorting (#653)

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Christian Clauss
2019-11-28 13:32:03 +01:00
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commit f8da1b0685
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63
Sorting/BeadSort.cpp
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// C++ program to implement gravity/bead sort
#include <stdio.h>
#include <string.h>
using namespace std;
#define BEAD(i, j) beads[i * max + j]
// function to perform the above algorithm
void beadSort(int *a, int len)
{
// Find the maximum element
int max = a[0];
for (int i = 1; i < len; i++)
if (a[i] > max)
max = a[i];
// allocating memory
unsigned char beads[max*len];
memset(beads, 0, sizeof(beads));
// mark the beads
for (int i = 0; i < len; i++)
for (int j = 0; j < a[i]; j++)
BEAD(i, j) = 1;
for (int j = 0; j < max; j++)
{
// count how many beads are on each post
int sum = 0;
for (int i=0; i < len; i++)
{
sum += BEAD(i, j);
BEAD(i, j) = 0;
}
// Move beads down
for (int i = len - sum; i < len; i++)
BEAD(i, j) = 1;
}
// Put sorted values in array using beads
for (int i = 0; i < len; i++)
{
int j;
for (j = 0; j < max && BEAD(i, j); j++);
a[i] = j;
}
}
// driver function to test the algorithm
int main()
{
int a[] = {5, 3, 1, 7, 4, 1, 1, 20};
int len = sizeof(a)/sizeof(a[0]);
beadSort(a, len);
for (int i = 0; i < len; i++)
printf("%d ", a[i]);
return 0;
}

76
Sorting/BitonicSort.cpp
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// Source : https://www.geeksforgeeks.org/bitonic-sort/
/* C++ Program for Bitonic Sort. Note that this program
works only when size of input is a power of 2. */
#include <stdio.h>
#include <algorithm.h>
using namespace std;
/*The parameter dir indicates the sorting direction, ASCENDING
or DESCENDING; if (a[i] > a[j]) agrees with the direction,
then a[i] and a[j] are interchanged.*/
void compAndSwap(int a[], int i, int j, int dir)
{
if (dir == (a[i] > a[j]))
swap(a[i], a[j]);
}
/*It recursively sorts a bitonic sequence in ascending order,
if dir = 1, and in descending order otherwise (means dir=0).
The sequence to be sorted starts at index position low,
the parameter cnt is the number of elements to be sorted.*/
void bitonicMerge(int a[], int low, int cnt, int dir)
{
if (cnt > 1)
{
int k = cnt / 2;
for (int i = low; i < low + k; i++)
compAndSwap(a, i, i + k, dir);
bitonicMerge(a, low, k, dir);
bitonicMerge(a, low + k, k, dir);
}
}
/* This function first produces a bitonic sequence by recursively
sorting its two halves in opposite sorting orders, and then
calls bitonicMerge to make them in the same order */
void bitonicSort(int a[], int low, int cnt, int dir)
{
if (cnt > 1)
{
int k = cnt / 2;
// sort in ascending order since dir here is 1
bitonicSort(a, low, k, 1);
// sort in descending order since dir here is 0
bitonicSort(a, low + k, k, 0);
// Will merge wole sequence in ascending order
// since dir=1.
bitonicMerge(a, low, cnt, dir);
}
}
/* Caller of bitonicSort for sorting the entire array of
length N in ASCENDING order */
void sort(int a[], int N, int up)
{
bitonicSort(a, 0, N, up);
}
// Driver code
int main()
{
int a[] = {3, 7, 4, 8, 6, 2, 1, 5};
int N = sizeof(a) / sizeof(a[0]);
int up = 1; // means sort in ascending order
sort(a, N, up);
printf("Sorted array: \n");
for (int i = 0; i < N; i++)
printf("%d ", a[i]);
return 0;
}

52
Sorting/Bubble Sort.cpp
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//Bubble Sort
#include <iostream>
#include <vector>
using namespace std;
int main()
{
int n;
short swap_check = 1;
cout << "Enter the amount of numbers to sort: ";
cin >> n;
vector<int> numbers;
cout << "Enter " << n << " numbers: ";
int num;
//Input
for (int i = 0; i < n; i++)
{
cin >> num;
numbers.push_back(num);
}
//Bubble Sorting
for (int i = 0; (i < n) && (swap_check == 1); i++)
{
swap_check = 0;
for (int j = 0; j < n - 1 - i; j++)
{
if (numbers[j] > numbers[j + 1])
{
swap_check = 1;
swap(numbers[j], numbers[j + 1]);
}
}
}
//Output
cout << "\nSorted Array : ";
for (int i = 0; i < numbers.size(); i++)
{
if (i != numbers.size() - 1)
{
cout << numbers[i] << ", ";
}
else
{
cout << numbers[i] << endl;
}
}
return 0;
}

109
Sorting/CocktailSelectionSort.cpp
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//Returns Sorted elements after performing Cocktail Selection Sort
//It is a Sorting algorithm which chooses the minimum and maximum element in an array simultaneously,
//and swaps it with the lowest and highest available position iteratively or recursively
#include <iostream>
using namespace std;
//Iterative Version
void CocktailSelectionSort(vector<int> &vec, int low, int high)
{
while (low <= high)
{
int minimum = vec[low];
int minimumindex = low;
int maximum = vec[high];
int maximumindex = high;
for (int i = low; i <= high; i++)
{
if (vec[i] >= maximum)
{
maximum = vec[i];
maximumindex = i;
}
if (vec[i] <= minimum)
{
minimum = vec[i];
minimumindex = i;
}
}
if (low != maximumindex || high != minimumindex)
{
swap(vec[low], vec[minimumindex]);
swap(vec[high], vec[maximumindex]);
}
else
{
swap(vec[low], vec[high]);
}
low++;
high--;
}
}
//Recursive Version
void CocktailSelectionSort(vector<int> &vec, int low, int high)
{
if (low >= high)
return;
int minimum = vec[low];
int minimumindex = low;
int maximum = vec[high];
int maximumindex = high;
for (int i = low; i <= high; i++)
{
if (vec[i] >= maximum)
{
maximum = vec[i];
maximumindex = i;
}
if (vec[i] <= minimum)
{
minimum = vec[i];
minimumindex = i;
}
}
if (low != maximumindex || high != minimumindex)
{
swap(vec[low], vec[minimumindex]);
swap(vec[high], vec[maximumindex]);
}
else
{
swap(vec[low], vec[high]);
}
CocktailSelectionSort(vec, low + 1, high - 1);
}
//main function, select any one of iterative or recursive version
int main()
{
int n;
cout << "Enter number of elements\n";
cin >> n;
std::vector<int> v(n);
cout << "Enter all the elements\n";
for (int i = 0; i < n; ++i)
{
cin >> v[i];
}
CocktailSelectionSort(v, 0, n - 1);
cout << "Sorted elements are\n";
for (int i = 0; i < n; ++i)
{
cout << v[i] << " ";
}
return 0;
}

41
Sorting/CountingSortString.cpp
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// C++ Program for counting sort
#include <iostream>
using namespace std;
void countSort(string arr)
{
string output;
int count[256], i;
for (int i = 0; i < 256; i++)
count[i] = 0;
for (i = 0; arr[i]; ++i)
++count[arr[i]];
for (i = 1; i <= 256; ++i)
count[i] += count[i - 1];
for (i = 0; arr[i]; ++i)
{
output[count[arr[i]] - 1] = arr[i];
--count[arr[i]];
}
for (i = 0; arr[i]; ++i)
arr[i] = output[i];
cout << "Sorted character array is " << arr;
}
int main()
{
string arr;
cin >> arr;
countSort(arr);
return 0;
}

66
Sorting/Counting_Sort.cpp
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#include <iostream>
using namespace std;
int Max(int Arr[], int N)
{
int max = Arr[0];
for (int i = 1; i < N; i++)
if (Arr[i] > max)
max = Arr[i];
return max;
}
int Min(int Arr[], int N)
{
int min = Arr[0];
for (int i = 1; i < N; i++)
if (Arr[i] < min)
min = Arr[i];
return min;
}
void Print(int Arr[], int N)
{
for (int i = 0; i < N; i++)
cout << Arr[i] << ", ";
}
int *Counting_Sort(int Arr[], int N)
{
int max = Max(Arr, N);
int min = Min(Arr, N);
int *Sorted_Arr = new int[N];
int *Count = new int[max - min + 1];
for (int i = 0; i < N; i++)
Count[Arr[i] - min]++;
for (int i = 1; i < (max - min + 1); i++)
Count[i] += Count[i - 1];
for (int i = N - 1; i >= 0; i--)
{
Sorted_Arr[Count[Arr[i] - min] - 1] = Arr[i];
Count[Arr[i] - min]--;
}
return Sorted_Arr;
}
int main()
{
int Arr[] = {47, 65, 20, 66, 25, 53, 64, 69, 72, 22, 74, 25, 53, 15, 42, 36, 4, 69, 86, 19}, N = 20;
int *Sorted_Arr;
cout << "\n\tOrignal Array = ";
Print(Arr, N);
Sorted_Arr = Counting_Sort(Arr, N);
cout << "\n\t Sorted Array = ";
Print(Sorted_Arr, N);
cout << endl;
return 0;
}

62
Sorting/Heap Sort .cpp
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#include <iostream>
#include <conio.h>
using namespace std;
void max_heapify(int *a, int i, int n)
{
int j, temp;
temp = a[i];
j = 2 * i;
while (j <= n)
{
if (j < n && a[j + 1] > a[j])
j = j + 1;
if (temp > a[j])
break;
else if (temp <= a[j])
{
a[j / 2] = a[j];
j = 2 * j;
}
}
a[j / 2] = temp;
return;
}
void heapsort(int *a, int n)
{
int i, temp;
for (i = n; i >= 2; i--)
{
temp = a[i];
a[i] = a[1];
a[1] = temp;
max_heapify(a, 1, i - 1);
}
}
void build_maxheap(int *a, int n)
{
int i;
for (i = n / 2; i >= 1; i--)
{
max_heapify(a, i, n);
}
}
int main()
{
int n, i, x;
cout << "Enter number of elements of array\n";
cin >> n;
int a[20];
for (i = 1; i <= n; i++)
{
cout << "Enter Element " << (i) << endl;
cin >> a[i];
}
build_maxheap(a, n);
heapsort(a, n);
cout << "Sorted Output\n";
for (i = 1; i <= n; i++)
{
cout << a[i] << endl;
}
getch();
}

40
Sorting/Insertion Sort.cpp
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@@ -1,40 +0,0 @@
//Insertion Sort
#include <iostream>
using namespace std;
int main()
{
int n;
cout << "\nEnter the length of your array : ";
cin >> n;
int Array[n];
cout << "\nEnter any " << n << " Numbers for Unsorted Array : ";
//Input
for (int i = 0; i < n; i++)
{
cin >> Array[i];
}
//Sorting
for (int i = 1; i < n; i++)
{
int temp = Array[i];
int j = i - 1;
while (j >= 0 && temp < Array[j])
{
Array[j + 1] = Array[j];
j--;
}
Array[j + 1] = temp;
}
//Output
cout << "\nSorted Array : ";
for (int i = 0; i < n; i++)
{
cout << Array[i] << "\t";
}
return 0;
}

93
Sorting/Merge Sort.cpp
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#include <iostream>
using namespace std;
void merge(int arr[], int l, int m, int r)
{
int i, j, k;
int n1 = m - l + 1;
int n2 = r - m;
int L[n1], R[n2];
for (i = 0; i < n1; i++)
L[i] = arr[l + i];
for (j = 0; j < n2; j++)
R[j] = arr[m + 1 + j];
i = 0;
j = 0;
k = l;
while (i < n1 && j < n2)
{
if (L[i] <= R[j])
{
arr[k] = L[i];
i++;
}
else
{
arr[k] = R[j];
j++;
}
k++;
}
while (i < n1)
{
arr[k] = L[i];
i++;
k++;
}
while (j < n2)
{
arr[k] = R[j];
j++;
k++;
}
}
void mergeSort(int arr[], int l, int r)
{
if (l < r)
{
int m = l + (r - l) / 2;
mergeSort(arr, l, m);
mergeSort(arr, m + 1, r);
merge(arr, l, m, r);
}
}
void show(int A[], int size)
{
int i;
for (i = 0; i < size; i++)
cout << A[i] << "\n";
}
int main()
{
int size;
cout << "\nEnter the number of elements : ";
cin >> size;
int arr[size];
cout << "\nEnter the unsorted elements : ";
for (int i = 0; i < size; ++i)
{
cout << "\n";
cin >> arr[i];
}
mergeSort(arr, 0, size);
cout << "Sorted array\n";
show(arr, size);
return 0;
}

62
Sorting/NumericStringSort.cpp
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//Using general algorithms to sort a collection of strings results in alphanumeric sort.
//If it is a numeric string, it leads to unnatural sorting
//eg, an array of strings 1,10,100,2,20,200,3,30,300
//would be sorted in that same order by using conventional sorting,
//even though we know the correct sorting order is 1,2,3,10,20,30,100,200,300
//This Programme uses a comparator to sort the array in Numerical order instead of Alphanumeric order
#include <iostream>
#include <string>
#include <algorithm>
using namespace std;
bool NumericSort(string a, string b)
{
while (a[0] == '0')
{
a.erase(a.begin());
}
while (b[0] == '0')
{
b.erase(b.begin());
}
int n = a.length();
int m = b.length();
if (n == m)
return a < b;
return n < m;
}
int main()
{
int n;
cout << "Enter number of elements to be sorted Numerically\n";
cin >> n;
vector<string> v(n);
cout << "Enter the string of Numbers\n";
for (int i = 0; i < n; i++)
{
cin >> v[i];
}
sort(v.begin(), v.end());
cout << "Elements sorted normally \n";
for (int i = 0; i < n; i++)
{
cout << v[i] << " ";
}
cout << "\n";
sort(v.begin(), v.end(), NumericSort);
cout << "Elements sorted Numerically \n";
for (int i = 0; i < n; i++)
{
cout << v[i] << " ";
}
return 0;
}

61
Sorting/OddEven Sort.cpp
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/* C++ implementation Odd Even Sort */
#include <iostream>
#include <vector>
using namespace std;
void oddEven(vector<int> &arr, int size)
{
bool sorted = false;
while (!sorted)
{
sorted = true;
for (int i = 1; i < size - 1; i += 2) //Odd
{
if (arr[i] > arr[i + 1])
{
swap(arr[i], arr[i + 1]);
sorted = false;
}
}
for (int i = 0; i < size - 1; i += 2) //Even
{
if (arr[i] > arr[i + 1])
{
swap(arr[i], arr[i + 1]);
sorted = false;
}
}
}
}
void show(vector<int> A, int size)
{
int i;
for (i = 0; i < size; i++)
cout << A[i] << "\n";
}
int main()
{
int size, temp;
cout << "\nEnter the number of elements : ";
cin >> size;
vector<int> arr;
cout << "\nEnter the unsorted elements : \n";
for (int i = 0; i < size; ++i)
{
cin >> temp;
arr.push_back(temp);
}
oddEven(arr, size);
cout << "Sorted array\n";
show(arr, size);
return 0;
}

67
Sorting/Quick Sort.cpp
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@@ -1,67 +0,0 @@
/* C implementation QuickSort */
#include <iostream>
using namespace std;
int partition(int arr[], int low, int high)
{
int pivot = arr[high]; // pivot
int i = (low - 1); // Index of smaller element
for (int j = low; j < high; j++)
{
// If current element is smaller than or
// equal to pivot
if (arr[j] <= pivot)
{
i++; // increment index of smaller element
int temp = arr[i];
arr[i] = arr[j];
arr[j] = temp;
}
}
int temp = arr[i + 1];
arr[i + 1] = arr[high];
arr[high] = temp;
return (i + 1);
}
void quickSort(int arr[], int low, int high)
{
if (low < high)
{
int p = partition(arr, low, high);
quickSort(arr, low, p - 1);
quickSort(arr, p + 1, high);
}
}
void show(int arr[], int size)
{
for (int i = 0; i < size; i++)
cout << arr[i] << "\n";
}
// Driver program to test above functions
int main()
{
int size;
cout << "\nEnter the number of elements : ";
cin >> size;
int arr[size];
cout << "\nEnter the unsorted elements : ";
for (int i = 0; i < size; ++i)
{
cout << "\n";
cin >> arr[i];
}
quickSort(arr, 0, size);
cout << "Sorted array\n";
show(arr, size);
return 0;
}

68
Sorting/Radix Sort.cpp
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@@ -1,68 +0,0 @@
#include <iostream>
#include <cstdlib>
#include <cmath>
#include <cstring>
using namespace std;
void radixsort(int a[], int n)
{
int count[10];
int output[n];
memset(output, 0, sizeof(output));
memset(count, 0, sizeof(count));
int max = 0;
for (int i = 0; i < n; ++i)
{
if (a[i] > max)
{
max = a[i];
}
}
int maxdigits = 0;
while (max)
{
maxdigits++;
max /= 10;
}
for (int j = 0; j < maxdigits; j++)
{
for (int i = 0; i < n; i++)
{
int t = pow(10, j);
count[(a[i] % (10 * t)) / t]++;
}
int k = 0;
for (int p = 0; p < 10; p++)
{
for (int i = 0; i < n; i++)
{
int t = pow(10, j);
if ((a[i] % (10 * t)) / t == p)
{
output[k] = a[i];
k++;
}
}
}
memset(count, 0, sizeof(count));
for (int i = 0; i < n; ++i)
{
a[i] = output[i];
}
}
}
void print(int a[], int n)
{
for (int i = 0; i < n; ++i)
{
cout << a[i] << " ";
}
cout << endl;
}
int main(int argc, char const *argv[])
{
int a[] = {170, 45, 75, 90, 802, 24, 2, 66};
int n = sizeof(a) / sizeof(a[0]);
radixsort(a, n);
print(a, n);
return 0;
}

39
Sorting/Selection Sort.cpp
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@@ -1,39 +0,0 @@
//Selection Sort
#include <iostream>
using namespace std;
int main()
{
int Array[6];
cout << "\nEnter any 6 Numbers for Unsorted Array : ";
//Input
for (int i = 0; i < 6; i++)
{
cin >> Array[i];
}
//Selection Sorting
for (int i = 0; i < 6; i++)
{
int min = i;
for (int j = i + 1; j < 6; j++)
{
if (Array[j] < Array[min])
{
min = j; //Finding the smallest number in Array
}
}
int temp = Array[i];
Array[i] = Array[min];
Array[min] = temp;
}
//Output
cout << "\nSorted Array : ";
for (int i = 0; i < 6; i++)
{
cout << Array[i] << "\t";
}
}

45
Sorting/Shell Sort.cpp
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@@ -1,45 +0,0 @@
#include <iostream>
using namespace std;
int main()
{
int size = 10;
int array[size];
// Input
cout << "\nHow many numbers do want to enter in unsorted array : ";
cin >> size;
cout << "\nEnter the numbers for unsorted array : ";
for (int i = 0; i < size; i++)
{
cin >> array[i];
}
// Sorting
for (int i = size / 2; i > 0; i = i / 2)
{
for (int j = i; j < size; j++)
{
for (int k = j - i; k >= 0; k = k - i)
{
if (array[k] < array[k + i])
{
break;
}
else
{
int temp = array[k + i];
array[k + i] = array[k];
array[k] = temp;
}
}
}
}
// Output
cout << "\nSorted array : ";
for (int i = 0; i < size; ++i)
{
cout << array[i] << "\t";
}
return 0;
}

57
Sorting/Slow Sort.cpp
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@@ -1,57 +0,0 @@
//Returns the sorted vector after performing SlowSort
//It is a sorting algorithm that is of humorous nature and not useful.
//It's based on the principle of multiply and surrender, a tongue-in-cheek joke of divide and conquer.
//It was published in 1986 by Andrei Broder and Jorge Stolfi in their paper Pessimal Algorithms and Simplexity Analysis.
//This algorithm multiplies a single problem into multiple subproblems
//It is interesting because it is provably the least efficient sorting algorithm that can be built asymptotically,
//and with the restriction that such an algorithm, while being slow, must still all the time be working towards a result.
#include <iostream>
using namespace std;
void SlowSort(int a[], int i, int j)
{
if (i >= j)
return;
int m = i + (j - i) / 2; //midpoint, implemented this way to avoid overflow
int temp;
SlowSort(a, i, m);
SlowSort(a, m + 1, j);
if (a[j] < a[m])
{
temp = a[j]; //swapping a[j] & a[m]
a[j] = a[m];
a[m] = temp;
}
SlowSort(a, i, j - 1);
}
//Sample Main function
int main()
{
int size;
cout << "\nEnter the number of elements : ";
cin >> size;
int arr[size];
cout << "\nEnter the unsorted elements : ";
for (int i = 0; i < size; ++i)
{
cout << "\n";
cin >> arr[i];
}
SlowSort(arr, 0, size);
cout << "Sorted array\n";
for (int i = 0; i < size; ++i)
{
cout << arr[i] << " ";
}
return 0;
}

116
Sorting/Tim Sort.cpp
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// C++ program to perform TimSort.
#include<bits/stdc++.h>
using namespace std;
const int RUN = 32;
// this function sorts array from left index to to right index which is of size atmost RUN
void insertionSort(int arr[], int left, int right)
{
for (int i = left + 1; i <= right; i++)
{
int temp = arr[i];
int j = i - 1;
while (arr[j] > temp && j >= left)
{
arr[j+1] = arr[j];
j--;
}
arr[j+1] = temp;
}
}
// merge function merges the sorted runs
void merge(int arr[], int l, int m, int r)
{
// original array is broken in two parts, left and right array
int len1 = m - l + 1, len2 = r - m;
int left[len1], right[len2];
for (int i = 0; i < len1; i++)
left[i] = arr[l + i];
for (int i = 0; i < len2; i++)
right[i] = arr[m + 1 + i];
int i = 0;
int j = 0;
int k = l;
// after comparing, we merge those two array in larger sub array
while (i < len1 && j < len2)
{
if (left[i] <= right[j])
{
arr[k] = left[i];
i++;
}
else
{
arr[k] = right[j];
j++;
}
k++;
}
// copy remaining elements of left, if any
while (i < len1)
{
arr[k] = left[i];
k++;
i++;
}
// copy remaining element of right, if any
while (j < len2)
{
arr[k] = right[j];
k++;
j++;
}
}
// iterative Timsort function to sort the array[0...n-1] (similar to merge sort)
void timSort(int arr[], int n)
{
// Sort individual subarrays of size RUN
for (int i = 0; i < n; i+=RUN)
insertionSort(arr, i, min((i+31), (n-1)));
// start merging from size RUN (or 32). It will merge to form size 64, then 128, 256 and so on ....
for (int size = RUN; size < n; size = 2*size)
{
// pick starting point of left sub array. We are going to merge arr[left..left+size-1] and arr[left+size, left+2*size-1]
// After every merge, we increase left by 2*size
for (int left = 0; left < n; left += 2*size)
{
// find ending point of left sub array
// mid+1 is starting point of right sub array
int mid = left + size - 1;
int right = min((left + 2*size - 1), (n-1));
// merge sub array arr[left.....mid] & arr[mid+1....right]
merge(arr, left, mid, right);
}
}
}
// utility function to print the Array
void printArray(int arr[], int n)
{
for (int i = 0; i < n; i++)
printf("%d ", arr[i]);
printf("\n");
}
// Driver program to test above function
int main()
{
int arr[] = {5, 21, 7, 23, 19};
int n = sizeof(arr)/sizeof(arr[0]);
printf("Given Array is\n");
printArray(arr, n);
timSort(arr, n);
printf("After Sorting Array is\n");
printArray(arr, n);
return 0;
}

42
Sorting/bucketSort.cpp
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@@ -1,42 +0,0 @@
// C++ program to sort an array using bucket sort
#include <iostream>
#include <algorithm>
#include <vector>
using namespace std;
// Function to sort arr[] of size n using bucket sort
void bucketSort(float arr[], int n)
{
// 1) Create n empty buckets
vector<float> b[n];
// 2) Put array elements in different buckets
for (int i = 0; i < n; i++)
{
int bi = n * arr[i]; // Index in bucket
b[bi].push_back(arr[i]);
}
// 3) Sort individual buckets
for (int i = 0; i < n; i++)
sort(b[i].begin(), b[i].end());
// 4) Concatenate all buckets into arr[]
int index = 0;
for (int i = 0; i < n; i++)
for (int j = 0; j < b[i].size(); j++)
arr[index++] = b[i][j];
}
/* Driver program to test above funtion */
int main()
{
float arr[] = {0.897, 0.565, 0.656, 0.1234, 0.665, 0.3434};
int n = sizeof(arr) / sizeof(arr[0]);
bucketSort(arr, n);
cout << "Sorted array is \n";
for (int i = 0; i < n; i++)
cout << arr[i] << " ";
return 0;
}

59
Sorting/combsort.cpp
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@@ -1,59 +0,0 @@
//Kind of better version of Bubble sort.
//While Bubble sort is comparering adjacent value, Combsort is using gap larger than 1
//Best case: O(n)
//Worst case: O(n ^ 2)
#include <iostream>
using namespace std;
int a[100005];
int n;
int FindNextGap(int x)
{
x = (x * 10) / 13;
return max(1, x);
}
void CombSort(int a[], int l, int r)
{
//Init gap
int gap = n;
//Initialize swapped as true to make sure that loop runs
bool swapped = true;
//Keep running until gap = 1 or none elements were swapped
while (gap != 1 || swapped)
{
//Find next gap
gap = FindNextGap(gap);
swapped = false;
// Compare all elements with current gap
for (int i = l; i <= r - gap; ++i)
{
if (a[i] > a[i + gap])
{
swap(a[i], a[i + gap]);
swapped = true;
}
}
}
}
int main()
{
cin >> n;
for (int i = 1; i <= n; ++i)
cin >> a[i];
CombSort(a, 1, n);
for (int i = 1; i <= n; ++i)
cout << a[i] << ' ';
return 0;
}