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In computer science, jump point search (JPS) is an optimization to the A* search algorithm for uniform-cost grids. It reduces symmetries in the search procedure by means of graph pruning, [1] eliminating certain nodes in the grid based on assumptions that can be made about the current node's neighbors, as long as certain conditions relating to the grid are satisfied.
The advantage is that all optimizations of grid A* like jump point search will apply. A visibility graph with all the grid points can be searched with A* for the optimal solution in 2D space. However, the performance is problematic since the number of edges in a graph with V {\displaystyle V} vertices is O ( V 2 ) {\displaystyle O(V^{2})} .
The "nine dots" puzzle. The puzzle asks to link all nine dots using four straight lines or fewer, without lifting the pen. The nine dots puzzle is a mathematical puzzle whose task is to connect nine squarely arranged points with a pen by four (or fewer) straight lines without lifting the pen or retracing any lines.
Blue's 123 Time Activities is a 1999 educational game developed and published by Humongous Entertainment. The game works on Windows 95 and above, and on System 7.5.3 (with PowerPC) to Mac OS X Tiger. It was the third game in the Blue's Clues video game series, in turn based on the television series of the same name.
At most points can be placed, because + points in a grid would include a row of three or more points, by the pigeonhole principle. Although the problem can be solved with 2 n {\displaystyle 2n} points for every n {\displaystyle n} up to 46 {\displaystyle 46} , it is conjectured that fewer than 2 n {\displaystyle 2n} points can be placed in ...
Dots and Boxes need not be played on a rectangular grid – it can be played on a triangular grid or a hexagonal grid. [2] Dots and boxes has a dual graph form called "Strings-and-Coins". This game is played on a network of coins (vertices) joined by strings (edges). Players take turns cutting a string.
The Connect the Dots drawing technique of GPS Drawing involves recording an artists GPS data only at certain points along the route. This can give the image the appearance of a dot to dot puzzle as most of the lines are straight no matter the geography of the area.
An alphanumeric grid (also known as atlas grid [1]) is a simple coordinate system on a grid in which each cell is identified by a combination of a letter and a number. [ 2 ] An advantage over numeric coordinates such as easting and northing , which use two numbers instead of a number and a letter to refer to a grid cell, is that there can be no ...
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