# Problem Solving Puzzle

Jigsaw puzzles are perhaps the most popular form of puzzle.Jigsaw puzzles were invented around 1760, when John Spilsbury, a British engraver and cartographer, mounted a map on a sheet of wood, which he then sawed around the outline of each individual country on the map.

Jigsaw puzzles are perhaps the most popular form of puzzle.Jigsaw puzzles were invented around 1760, when John Spilsbury, a British engraver and cartographer, mounted a map on a sheet of wood, which he then sawed around the outline of each individual country on the map.The use of the word to mean "a toy contrived to test one's ingenuity" is relatively recent (within mid-19th century). Solutions of puzzles often require the recognition of patterns and the adherence to a particular kind of ordering.

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Rules of this game are very simple - we are sliding (←, →, ↑ , ↓) tiles to reach the final state in which all numbers are in order with ‘1’ in the top left corner of the board. As usual, you can find it on Git Hub Now that we have our problem defined, let’s represent it as a graph.

More specifically, weighted (each connection has a weight of 1) cyclic (it is possible to ‘go in circles’) undirected (connections are bidirectional) graph.

orworse than the current cost estimation (threshold) - no need in exploring branches that can only be worse than our current estimation.

After above evaluation, IDA* behaves similarly to the DFS algorithm.

In order to do so, we are going to disentangle this popular logic game and represent it as a Search Problem.

By the end of this article, you will be able to implement search algorithms that can solve some of real-life problems represented as graphs.

Initial board state is a starting node of the graph, its root.

Somewhere in the graph of possible board states, there is a final state node and our goal is to find it as fast as possible.

If your estimate is good the eggs will be caught in the nest but if you're too far out it all gets very messy.

Eggstreme maths An in-depth investigation in which you must find the number ways in which eggs can be packed in different sized egg boxes.

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