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The goal is to select a subset of the rows such that the digit 1 appears in each column exactly once. Algorithm X works as follows: If the matrix A has no columns, the current partial solution is a valid solution; terminate successfully. Otherwise choose a column c (deterministically). Choose a row r such that A r, c = 1 (nondeterministically).
Example of shuffling five letters using Durstenfeld's in-place version of the Fisher–Yates shuffle The Fisher–Yates shuffle is an algorithm for shuffling a finite sequence . The algorithm takes a list of all the elements of the sequence, and continually determines the next element in the shuffled sequence by randomly drawing an element from ...
Finally, each column header may optionally track the number of nodes in its column, so that locating a column with the lowest number of nodes is of complexity O(n) rather than O(n×m) where n is the number of columns and m is the number of rows. Selecting a column with a low node count is a heuristic which improves performance in some cases ...
The order-4 shuffle-exchange network, with its vertices arranged in numerical order. In graph theory, the shuffle-exchange network is an undirected cubic multigraph, whose vertices represent binary sequences of a given length and whose edges represent two operations on these sequence, circular shifts and flipping the lowest-order bit.
Note that unlike in memory-based gather-scatter all three of dest, src, and indices are registers (or parts of registers in the case of bit-level permute), not memory locations. The scatter variant can be seen to "scatter" the source elements across (into) to the destination, where the "gather" variant is gathering data from the indexed source ...
For data requests that fall between the table's samples, an interpolation algorithm can generate reasonable approximations by averaging nearby samples." [8] In data analysis applications, such as image processing, a lookup table (LUT) can be used to transform the input data into a more desirable output format. For example, a grayscale picture ...
Sudoku can be solved using stochastic (random-based) algorithms. [11] [12] An example of this method is to: Randomly assign numbers to the blank cells in the grid. Calculate the number of errors. "Shuffle" the inserted numbers until the number of mistakes is reduced to zero. A solution to the puzzle is then found.
The worstsort algorithm is based on a bad sorting algorithm, badsort. The badsort algorithm accepts two parameters: L , which is the list to be sorted, and k , which is a recursion depth. At recursion level k = 0 , badsort merely uses a common sorting algorithm, such as bubblesort , to sort its inputs and return the sorted list.