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Presentation transcript:

Bubble Sort Example

Selection Sort void selectionSort(int[] a) { for (int i = 0; i < a.length - 1; i++) { int min = i; for (int j = i + 1; j < a.length; j++) { if (a[j] < a[min]) { min = j; } } if (i != min) { int swap = a[i]; a[i] = a[min]; a[min] = swap; } } } i imin i i i, min i, min

Insertion Sort insertionSort(array A) begin for i := 1 to length[A] - 1 do begin value := A[ i ]; j := i - 1; while j >= 0 and A[ j ] > value do begin A[ j + 1] := A[ j ]; j := j - 1; end; A[ j + 1] := value; end; end;

Merge Sort – Partition Process

Merge Sort – Merge Process

[0][1][2][3][4][5][6][7][8][9][10] Starting at the beginning of the array, we look for the first element that is greater than the pivot. (tooBigIndex) Starting from the other end we look for the first value that is less than or euqal to the pivot. (tooSmallIndex) After finding the two out-of-place elements, exchange them. tooBigIndex++tooSmallIndex— Stop when tooBigIndex >= tooSmallIndex tooBigIndex tooSmallIndex Quicksort

[0][1][2][3][4][5][6][7][8][9][10] tooBigIndex tooSmallIndex tooBigIndextooSmallIndex tooBigIndex tooSmallIndex

tooBigIndextooSmallIndex

Heapsort [0][1][2][3][4][5][6][7][8][9]

For an element in arr[i]: Parent[(i-1)/2] –Left child [2i+1] –Right child [2i+2] [0][1][2][3][4][5][6][7][8][9] [0][1][2][3][4][5][6][7][8][9] [0][1][2][3][4][5][6][7][8][9] [0][1][2][3][4][5][6][7][8][9]

[0][1][2][3][4][5][6][7][8][9] [0][1][2][3][4][5][6][7][8][9] [0][1][2][3][4][5][6][7][8][9] [0][1][2][3][4][5][6][7][8][9] For an element in arr[i]: Parent[(i-1)/2] –Left child [2i+1] –Right child [2i+2]

[0][1][2][3][4][5][6][7][8][9] [0][1][2][3][4][5][6][7][8][9] [0][1][2][3][4][5][6][7][8][9] [0][1][2][3][4][5][6][7][8][9] For an element in arr[i]: Parent[(i-1)/2] –Left child [2i+1] –Right child [2i+2]

[0][1][2][3][4][5][6][7][8][9] [0][1][2][3][4][5][6][7][8][9] [0][1][2][3][4][5][6][7][8][9] [0][1][2][3][4][5][6][7][8][9] For an element in arr[i]: Parent[(i-1)/2] –Left child [2i+1] –Right child [2i+2]

[0][1][2][3][4][5][6][7][8][9] [0][1][2][3][4][5][6][7][8][9] [0][1][2][3][4][5][6][7][8][9] For an element in arr[i]: Parent[(i-1)/2] –Left child [2i+1] –Right child [2i+2]

[0][1][2][3][4][5][6][7][8][9] [0][1][2][3][4][5][6][7][8][9] [0][1][2][3][4][5][6][7][8][9] For an element in arr[i]: Parent[(i-1)/2] –Left child [2i+1] –Right child [2i+2]

[0][1][2][3][4][5][6][7][8][9] [0][1][2][3][4][5][6][7][8][9] [0][1][2][3][4][5][6][7][8][9] For an element in arr[i]: Parent[(i-1)/2] –Left child [2i+1] –Right child [2i+2]

[0][1][2][3][4][5][6][7][8][9] [0][1][2][3][4][5][6][7][8][9] [0][1][2][3][4][5][6][7][8][9] For an element in arr[i]: Parent[(i-1)/2] –Left child [2i+1] –Right child [2i+2]