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  2. Fisher–Yates shuffle - Wikipedia

    en.wikipedia.org/wiki/Fisher–Yates_shuffle

    The naïve method of swapping each element with another element chosen randomly from all elements is biased. [13] Different permutations will have different probabilities of being generated, for every n > 2 {\displaystyle n>2} , because the number of different permutations, n ! {\displaystyle n!} , does not evenly divide the number of random ...

  3. Heap's algorithm - Wikipedia

    en.wikipedia.org/wiki/Heap's_algorithm

    Doing permutations(l+1, A) will in each iteration i of the for-loop, first do permutations(l, A) (rotating the first l elements of A by 1 position since l is even) and then, swap the elements in positions 0 and l (the last position) in A. Rotating the first l elements and then swapping the first and last elements is equivalent to rotating the ...

  4. Block swap algorithms - Wikipedia

    en.wikipedia.org/wiki/Block_swap_algorithms

    The reversal algorithm is the simplest to explain, using rotations. A rotation is an in-place reversal of array elements. This method swaps two elements of an array from outside in within a range. The rotation works for an even or odd number of array elements. The reversal algorithm uses three in-place rotations to accomplish an in-place block ...

  5. XOR swap algorithm - Wikipedia

    en.wikipedia.org/wiki/XOR_swap_algorithm

    Using the XOR swap algorithm to exchange nibbles between variables without the use of temporary storage. In computer programming, the exclusive or swap (sometimes shortened to XOR swap) is an algorithm that uses the exclusive or bitwise operation to swap the values of two variables without using the temporary variable which is normally required.

  6. Bubble sort - Wikipedia

    en.wikipedia.org/wiki/Bubble_sort

    Bubble sort, sometimes referred to as sinking sort, is a simple sorting algorithm that repeatedly steps through the input list element by element, comparing the current element with the one after it, swapping their values if needed. These passes through the list are repeated until no swaps have to be performed during a pass, meaning that the ...

  7. Swap (computer programming) - Wikipedia

    en.wikipedia.org/wiki/Swap_(computer_programming)

    data_item x := 1 data_item y := 0 swap (x, y); After swap() is performed, x will contain the value 0 and y will contain 1; their values have been exchanged. This operation may be generalized to other types of values, such as strings and aggregated data types. Comparison sorts use swaps to change the positions of data.

  8. Cocktail shaker sort - Wikipedia

    en.wikipedia.org/wiki/Cocktail_shaker_sort

    The simplest form goes through the whole list each time: procedure cocktailShakerSort(A : list of sortable items) is do swapped := false for each i in 0 to length(A) − 1 do: if A[i] > A[i + 1] then // test whether the two elements are in the wrong order swap(A[i], A[i + 1]) // let the two elements change places swapped := true end if end for if not swapped then // we can exit the outer loop ...

  9. Bogosort - Wikipedia

    en.wikipedia.org/wiki/Bogosort

    The base case is a single element, which is always sorted. For other cases, it compares the last element to the maximum element from the previous elements in the list. If the last element is greater or equal, it checks if the order of the copy matches the previous version, and if so returns.