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• I'd like to create a random string, consisting of alpha-numeric characters. I want to be able to be specify the length of the string. How do I do this in C?
• Pseudo Random Number Generator(PRNG) refers to an algorithm that uses mathematical formulas to produce sequences of random numbers. PRNGs generate a sequence of numbers approximating the properties of random numbers. A PRNG starts from an arbitrary starting state using a seed state. Many numbers are generated in a short time and can also be.

1. Random Algorithm Generator
2. Random Key Generation Algorithm In C 2
3. Pseudo Random Algorithm
4. Random Key Generation Algorithm In Code
5. Random Key Generation Algorithm In Computer
6. Key Algorithm Types

Key generation is the process of generating keys in cryptography. A key is used to encrypt and decrypt whatever data is being encrypted/decrypted. A device or program used to generate keys is called a key generator or keygen. Jun 20, 2017  How to generate unique product key for Every PC for c# windows appliacation i dont know how to generate unique product key for application. No coding created because i dont know,so sorry help me to learn.

Maze generation algorithms are automated methods for the creation of mazes.

Graph theory based methods[edit]

A maze can be generated by starting with a predetermined arrangement of cells (most commonly a rectangular grid but other arrangements are possible) with wall sites between them. This predetermined arrangement can be considered as a connected graph with the edges representing possible wall sites and the nodes representing cells. The purpose of the maze generation algorithm can then be considered to be making a subgraph in which it is challenging to find a route between two particular nodes.

If the subgraph is not connected, then there are regions of the graph that are wasted because they do not contribute to the search space. If the graph contains loops, then there may be multiple paths between the chosen nodes. Because of this, maze generation is often approached as generating a random spanning tree. Loops, which can confound naive maze solvers, may be introduced by adding random edges to the result during the course of the algorithm.

The animation shows the maze generation steps for a graph that is not on a rectangular grid.First, the computer creates a random planar graph Gshown in blue, and its dual Fshown in yellow. Second, computer traverses F using a chosenalgorithm, such as a depth-first search, coloring the path red.During the traversal, whenever a red edge crosses over a blue edge,the blue edge is removed.Finally, when all vertices of F have been visited, F is erasedand two edges from G, one for the entrance and one for the exit, are removed.

Depth-first search[edit]

This algorithm is a randomized version of the depth-first search algorithm. Frequently implemented with a stack, this approach is one of the simplest ways to generate a maze using a computer. Consider the space for a maze being a large grid of cells (like a large chess board), each cell starting with four walls. Starting from a random cell, the computer then selects a random neighbouring cell that has not yet been visited. The computer removes the wall between the two cells and marks the new cell as visited, and adds it to the stack to facilitate backtracking. The computer continues this process, with a cell that has no unvisited neighbours being considered a dead-end. When at a dead-end it backtracks through the path until it reaches a cell with an unvisited neighbour, continuing the path generation by visiting this new, unvisited cell (creating a new junction). This process continues until every cell has been visited, causing the computer to backtrack all the way back to the beginning cell. We can be sure every cell is visited.

As given above this algorithm involves deep recursion which may cause stack overflow issues on some computer architectures. The algorithm can be rearranged into a loop by storing backtracking information in the maze itself. This also provides a quick way to display a solution, by starting at any given point and backtracking to the beginning.

Random Algorithm Generator

Mazes generated with a depth-first search have a low branching factor and contain many long corridors, because the algorithm explores as far as possible along each branch before backtracking.

Recursive backtracker[edit]

The depth-first search algorithm of maze generation is frequently implemented using backtracking. This can be described with a following recursive routine:

1. Given a current cell as a parameter,
2. Mark the current cell as visited
3. While the current cell has any unvisited neighbour cells
   1. Chose one of the unvisited neighbours
   2. Remove the wall between the current cell and the chosen cell
   3. Invoke the routine recursively for a chosen cell

which is invoked once for any initial cell in the area.

A disadvantage of this approach is a large depth of recursion – in the worst case, the routine may need to recur on every cell of the area being processed, which may exceed the maximum recursion stack depth in many environments. As a solution, the same bactracking method can be implemented with an explicit stack, which is usually allowed to grow much bigger with no harm.

1. Choose the initial cell, mark it as visited and push it to the stack
2. While the stack is not empty
   1. Pop a cell from the stack and make it a current cell
   2. If the current cell has any neighbours which have not been visited
      1. Push the current cell to the stack
      2. Choose one of the unvisited neighbours
      3. Remove the wall between the current cell and the chosen cell
      4. Mark the chosen cell as visited and push it to the stack

Randomized Kruskal's algorithm[edit]

This algorithm is a randomized version of Kruskal's algorithm.

1. Create a list of all walls, and create a set for each cell, each containing just that one cell.
2. For each wall, in some random order:
   1. If the cells divided by this wall belong to distinct sets:
      1. Remove the current wall.
      2. Join the sets of the formerly divided cells.

There are several data structures that can be used to model the sets of cells. An efficient implementation using a disjoint-set data structure can perform each union and find operation on two sets in nearly constant amortized time (specifically, ${\displaystyle O(\alpha (V))}$ time; for any plausible value of ${\displaystyle x}$), so the running time of this algorithm is essentially proportional to the number of walls available to the maze.

It matters little whether the list of walls is initially randomized or if a wall is randomly chosen from a nonrandom list, either way is just as easy to code.

Because the effect of this algorithm is to produce a minimal spanning tree from a graph with equally weighted edges, it tends to produce regular patterns which are fairly easy to solve.

Randomized Prim's algorithm[edit]

What is hd key generation. This algorithm is a randomized version of Prim's algorithm.

1. Start with a grid full of walls.
2. Pick a cell, mark it as part of the maze. Add the walls of the cell to the wall list.
3. While there are walls in the list:
   1. Pick a random wall from the list. If only one of the two cells that the wall divides is visited, then:
      1. Make the wall a passage and mark the unvisited cell as part of the maze.
      2. Add the neighboring walls of the cell to the wall list.
   2. Remove the wall from the list.

It will usually be relatively easy to find the way to the starting cell, but hard to find the way anywhere else.

Note that simply running classical Prim's on a graph with random edge weights would create mazes stylistically identical to Kruskal's, because they are both minimal spanning tree algorithms. Instead, this algorithm introduces stylistic variation because the edges closer to the starting point have a lower effective weight.

Modified version[edit]

Although the classical Prim's algorithm keeps a list of edges, for maze generation we could instead maintain a list of adjacent cells. If the randomly chosen cell has multiple edges that connect it to the existing maze, select one of these edges at random. This will tend to branch slightly more than the edge-based version above.

Wilson's algorithm[edit]

All the above algorithms have biases of various sorts: depth-first search is biased toward long corridors, while Kruskal's/Prim's algorithms are biased toward many short dead ends. Wilson's algorithm,^[1] on the other hand, generates an unbiased sample from the uniform distribution over all mazes, using loop-erased random walks.

We begin the algorithm by initializing the maze with one cell chosen arbitrarily. Then we start at a new cell chosen arbitrarily, and perform a random walk until we reach a cell already in the maze—however, if at any point the random walk reaches its own path, forming a loop, we erase the loop from the path before proceeding. When the path reaches the maze, we add it to the maze. Then we perform another loop-erased random walk from another arbitrary starting cell, repeating until all cells have been filled.

This procedure remains unbiased no matter which method we use to arbitrarily choose starting cells. So we could always choose the first unfilled cell in (say) left-to-right, top-to-bottom order for simplicity.

Recursive division method[edit]

Illustration of Recursive Division

original chamber	division by two walls	holes in walls	continue subdividing..	completed
step 1	step 2	step 3	step 4	step 5

Mazes can be created with recursive division, an algorithm which works as follows: Begin with the maze's space with no walls. Call this a chamber. Divide the chamber with a randomly positioned wall (or multiple walls) where each wall contains a randomly positioned passage opening within it. Then recursively repeat the process on the subchambers until all chambers are minimum sized. This method results in mazes with long straight walls crossing their space, making it easier to see which areas to avoid.

For example, in a rectangular maze, build at random points two walls that are perpendicular to each other. These two walls divide the large chamber into four smaller chambers separated by four walls. Choose three of the four walls at random, and open a one cell-wide hole at a random point in each of the three. Continue in this manner recursively, until every chamber has a width of one cell in either of the two directions.

Simple algorithms[edit]

Other algorithms exist that require only enough memory to store one line of a 2D maze or one plane of a 3D maze. Eller's algorithm prevents loops by storing which cells in the current line are connected through cells in the previous lines, and never removes walls between any two cells already connected.^[2] The Sidewinder algorithm starts with an open passage along the entire the top row, and subsequent rows consist of shorter horizontal passages with one connection to the passage above. The Sidewinder algorithm is trivial to solve from the bottom up because it has no upward dead ends.^[3] Given a starting width, both algorithm create perfect mazes of unlimited height.

Random Key Generation Algorithm In C 2

Most maze generation algorithms require maintaining relationships between cells within it, to ensure the end result will be solvable. Valid simply connected mazes can however be generated by focusing on each cell independently. A binary tree maze is a standard orthogonal maze where each cell always has a passage leading up or leading left, but never both. To create a binary tree maze, for each cell flip a coin to decide whether to add a passage leading up or left. Always pick the same direction for cells on the boundary, and the end result will be a valid simply connected maze that looks like a binary tree, with the upper left corner its root. As with Sidewinder, the binary tree maze has no dead ends in the directions of bias.

Pseudo Random Algorithm

A related form of flipping a coin for each cell is to create an image using a random mix of forward slash and backslash characters. This doesn't generate a valid simply connected maze, but rather a selection of closed loops and unicursal passages. (The manual for the Commodore 64 presents a BASIC program using this algorithm, but using PETSCII diagonal line graphic characters instead for a smoother graphic appearance.)

Cellular automaton algorithms[edit]

Certain types of cellular automata can be used to generate mazes.^[4] Two well-known such cellular automata, Maze and Mazectric, have rulestrings B3/S12345 and B3/S1234.^[4] In the former, this means that cells survive from one generation to the next if they have at least one and at most five neighbours. In the latter, this means that cells survive if they have one to four neighbours. If a cell has exactly three neighbours, it is born. It is similar to Conway's Game of Life in that patterns that do not have a living cell adjacent to 1, 4, or 5 other living cells in any generation will behave identically to it.^[4] However, for large patterns, it behaves very differently from Life.^[4]

For a random starting pattern, these maze-generating cellular automata will evolve into complex mazes with well-defined walls outlining corridors. Mazecetric, which has the rule B3/S1234 has a tendency to generate longer and straighter corridors compared with Maze, with the rule B3/S12345.^[4] Since these cellular automaton rules are deterministic, each maze generated is uniquely determined by its random starting pattern. This is a significant drawback since the mazes tend to be relatively predictable.

Like some of the graph-theory based methods described above, these cellular automata typically generate mazes from a single starting pattern; hence it will usually be relatively easy to find the way to the starting cell, but harder to find the way anywhere else.

See also[edit]

References[edit]

1. ^Wilson, David Bruce (May 22–24, 1996). 'Generating random spanning trees more quickly than the cover time'. Proceedings of the Twenty-eighth Annual ACM Symposium on Theory of Computing. Symposium on Theory of Computing. Philadelphia: ACM. pp. 296–303. CiteSeerX10.1.1.47.8598. doi:10.1145/237814.237880. ISBN0-89791-785-5.
2. ^Jamis Buck (29 December 2010). 'Maze Generation: Eller's Algorithm'.
3. ^Jamis Buck (3 February 2011). 'Maze Generation: Sidewinder Algorithm'.
4. ^ ^abcdeNathaniel Johnston; et al. (21 August 2010). 'Maze - LifeWiki'. LifeWiki. Retrieved 1 March 2011.

External links[edit]

• Think Labyrinth: Maze algorithms (details on these and other maze generation algorithms)
• Implementations of DFS maze creation algorithm in multiple languages at Rosetta Code

This class provides the functionality of a secret (symmetric) key generator.

Key generators are constructed using one of the getInstance class methods of this class.

KeyGenerator objects are reusable, i.e., after a key has been generated, the same KeyGenerator object can be re-used to generate further keys.

There are two ways to generate a key: in an algorithm-independent manner, and in an algorithm-specific manner. The only difference between the two is the initialization of the object:

Random Key Generation Algorithm In Code

• Algorithm-Independent Initialization

  All key generators share the concepts of a keysize and a source of randomness. There is an init method in this KeyGenerator class that takes these two universally shared types of arguments. There is also one that takes just a keysize argument, and uses the SecureRandom implementation of the highest-priority installed provider as the source of randomness (or a system-provided source of randomness if none of the installed providers supply a SecureRandom implementation), and one that takes just a source of randomness.

  Since no other parameters are specified when you call the above algorithm-independent init methods, it is up to the provider what to do about the algorithm-specific parameters (if any) to be associated with each of the keys.

  Php artisan key generate lumen. Nov 27, 2017  php artisan key:generate You may use Lumen Generator. It covers so much commands you are missing from Laravel. Firstly, you have to register your key generator command, put this Lumen Key Generator Commands to app/Console/Commands/KeyGenerateCommand.php. To make this command available in artisan, change appConsoleKernel.php: /. The Artisan commands provided by your application. Apr 10, 2020  Firstly, you have to register your key generator command, put this Lumen Key Generator Commands to app/Console/Commands/KeyGenerateCommand.php. To make this command available in artisan, change appConsoleKernel.php: /. The Artisan commands provided by your application.

• Algorithm-Specific Initialization

  For situations where a set of algorithm-specific parameters already exists, there are two init methods that have an AlgorithmParameterSpec argument. One also has a SecureRandom argument, while the other uses the SecureRandom implementation of the highest-priority installed provider as the source of randomness (or a system-provided source of randomness if none of the installed providers supply a SecureRandom implementation).

In case the client does not explicitly initialize the KeyGenerator (via a call to an init method), each provider must supply (and document) a default initialization.

Random Key Generation Algorithm In Computer

Every implementation of the Java platform is required to support the following standard KeyGenerator algorithms with the keysizes in parentheses:

• AES (128)
• DES (56)
• DESede (168)
• HmacSHA1
• HmacSHA256

Key Algorithm Types

These algorithms are described in the KeyGenerator section of the Java Cryptography Architecture Standard Algorithm Name Documentation. Consult the release documentation for your implementation to see if any other algorithms are supported.