# Insert sort, bubble sort, select Sort, hill sort, quick sort, merge sort, heap sort, and LST cardinality sort--java implementation

Source: Internet
Author: User

The first is the Eightalgorithms.java file, the code is as follows:

`Import java.util.arrays;/* * Implements eight commonly used sorting algorithms: Insert sort, bubble sort, select sort, Hill sort * and quick sort, merge sort, heap sort, and lst cardinality sort * @author gkh178 */public class E  IGHTALGORITHMS {//Insert sort: Time complexity O (n^2) public static void Insertsort (int. a[], int n) {for (int i = 1; i < n; ++i) {int temp = A[i];int J = i-1;while (J >= 0 && a[j] > Temp) {a[j + 1] =a[j];--j;} A[j + 1] = temp;}} Bubble sort: Time complexity O (n^2) public static void Bubblesort (int a[], int n) {for (int i = n-1; i > 0;-i) {for (int j = 0; J & Lt I ++J) {if (A[j] > a[j + 1]) {int temp = A[j];a[j] = a[j + 1];a[j + 1] = temp;}}} Select Sort: Time complexity O (n^2) public static void Selectsort (int a[], int n) {for (int i = 0; i < n-1; ++i) {int min = A[i];int index = i;for (int j = i + 1; j < n; ++j) {if (A[j] < min) {min = A[j];index = j;}} A[index] = a[i];a[i] = min;}}  Hill sort: Time complexity between O (n^2) and O (nlgn) public static void Shellsort (int. a[], int n) {for (int gap = N/2; gap >= 1; Gap/= 2) {for (int i = gap; i < n; ++i) {int temp = A[i];int J = I-gap;while (J &Gt;= 0 && a[j] > Temp) {a[j + gap] = a[j];j-= gap;} A[j + gap] = temp;}}} Quick sort: Time complexity O (NLGN) public static void QuickSort (int a[], int n) {_quicksort (A, 0, n-1);} public static void _quicksort (int a[], int left, int. right) {if (left < right) {int q = _partition (A, left, right); _qui Cksort (A, left, q-1), _quicksort (A, q + 1, right);}} public static int _partition (int a[], int left, int. right) {int pivot = A[left];while (Left < right) {while (left < Right && A[right] >= pivot) {--right;} A[left] = A[right];while (left <right && A[left] <= pivot) {++left;} A[right] = A[left];} A[left] = Pivot;return left;} Merge sort: Time complexity O (NLGN) public static void MergeSort (int a[], int n) {_mergesort (A, 0, n-1);} public static void _mergesort (int a[], int. left, int.) {if (left <right) {int mid = left + (right-left)/2;_mer Gesort (A, left, mid), _mergesort (A, mid + 1, right), _merge (A, left, Mid, right);}} public static void _merge (int a[], int. left, int mid, int right) {int length = Right-left + 1;int newa[] = new Int[length];for (int i = 0, j = left; I <= length-1; ++i, ++j ) {Newa[i] = a[j];} int i = 0;int j = mid-left + 1;int k = left;for (; I <= mid-left && J <= length-1; ++k) {if (Newa[i] &l T Newa[j]) {a[k] = newa[i++];} else {A[k] = newa[j++];}} while (i <= mid-left) {a[k++] = newa[i++];} while (J <= Right-left) {a[k++] = newa[j++];}} Heap Sort: Time complexity O (NLGN) public static void Heapsort (int a[], int n) {builtmaxheap (A, n);//Establish initial Dagen//swap-first element, and an array of excluded tail elements after swapping for (int i = n-1; I >= 1; i.) {int temp = a;a = a[i];a[i] = Temp;upadjust (A, I);}} Create a large root heap of length n public static void builtmaxheap (int a[], int n) {upadjust (A, n);} Adjust the public static void Upadjust (int a[], int n) {//to each element with child nodes, from the back to the root node position for (int i = N/2; I >= 1;-- i) {Adjustnode (A, n, i);}} Adjust the value of the node of the ordinal I to public static void Adjustnode (int a[], int n, int i) {//node has left and right child if (2 * i + 1 <= N) {//the child's value is greater than the value of the node, swap them if ( a[2 * I] > a[i-1]) {int temp = a[2 * i];a[2 * i] = a[i-1];a[i-1] = temp;} The value of the left child is greater than the value of the node, exchange them if (A[2 * i-1] > A[i-1]) {int temp = a[2 * i-1];a[2 * i-1] = a[i-1];a[i-1] = temp;} Adjust the Adjustnode (A, N, 2 * i) of the node's left and right child's root node, Adjustnode (A, N, 2 * i + 1);}  Node only left child, for the last one has left and right child's node else if (2 * i = = N) {//left child value is greater than the value of the node, exchange them if (A[2 * i-1] > A[i-1]) {int temp = a[2 * i-1];a[2 * I-1] = a[i-1];a[i-1] = temp;}}} The time complexity of the radix sort is O (distance (n+radix)), distance is the number of Bits, n is the number of arrays, radix is radix//This method uses the LST method to sort the cardinality, the MST method is not included in//where the parameter radix is the base, typically 10 ; Distance represents the longest number of digits of the array to be sorted; n is the length of the arrays public static void Lstradixsort (int a[], int n, int radix, int distance) {int[] Newa = NE W int[n];//is used for staging arrays int[] Count = new int[radix];//is used for count sorting, the number of elements that hold the current bit value of 0 to radix-1 appears, int divide = 1;//from the last bit to the first t i = 0; i < distance; ++i) {system.arraycopy (A, 0, Newa, 0, N);//array copy to Newa array Arrays.fill (count, 0);//Set the Count array to 0for (int j = 0; J < N; ++j) {in T Radixkey = (Newa[j]/divide)% radix; Gets the value of the current processing bit of the array element count[radixkey]++;} At this time count[]Each element in the save is the number of times the Radixkey bit occurs//calculates the end position of each radixkey in the array, the position ordinal range is 1-nfor (int j = 1; j < Radix; ++j) {count[j] = Count[j] + count[j -1];} Use the principle of counting sorting to achieve a single order, the sorted array output to a[]for (int j = n-1; J >= 0;--j) {int radixkey = (Newa[j]/divide)% Radix;a[count[radix Key]-1] = Newa[j];--count[radixkey];} divide = divide * radix;}}}`

Then test the code Testeightalgorithms.java with the following code:

`public class Testeightalgorithms {public static void PrintArray (int. a[], int n) {for (int i = 0; i < n; ++i) {System.ou T.print (A[i] + ""); if (i = = n-1) {System.out.println ();}}} public static void Main (string[] args) {for (int i = 1; I <= 8; ++i) {int arr[] = {45, 38, 26, 77, 128, 38, 25, 444, 61 , 153, 9999, 1012, 128};switch (i) {case 1:eightalgorithms.insertsort (arr, arr.length); Break;case 2: Eightalgorithms.bubblesort (arr, arr.length); Break;case 3:eightalgorithms.selectsort (arr, arr.length); Break;case 4: Eightalgorithms.shellsort (arr, arr.length); Break;case 5:eightalgorithms.quicksort (arr, arr.length); Break;case 6: Eightalgorithms.mergesort (arr, arr.length); Break;case 7:eightalgorithms.heapsort (arr, arr.length); Break;case 8: Eightalgorithms.lstradixsort (arr, arr.length, 4); break;default:break;} PrintArray (arr, arr.length);}}}`

Finally, the results of the operation are as follows:

Insert sort, bubble sort, select Sort, hill sort, quick sort, merge sort, heap sort, and LST cardinality sort--java implementation

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