![]() Write down the selected number from 3.and check if there is a number that is not in the current column and not in the current nonet. Go to the j-th empty cell in the selected row x(i,j), then go through the possible numbers p(i), that was selected in 2.Check which numbers are NOT in that row, and write them next to the puzzle, name them p(i) (these are the numbers which could go into that empty cells).Select the row x(i) with the least number of empty cells, i=(row index for row, having the least number of empty cells).There are some techniques for doing it, here is simplified step-by-step way of doing it: Photo by Mark Fletcher-Brown on Unsplash A Unique Approach Solving sudoku on paperįirst, we should discuss what a human person would do to solve a sudoku puzzle on paper. Find a solution that is in P for that problem.ģ. Understanding how protein folding works and being able to predict the fold of a protein is a critical step in finding the cure of cancer. It is really hard to fold up proteins properly. Protein folding is related to the formulation of cancer cells, where the task is to make a 3D protein coil from a 2D one. Protein folding is an NP-C problem, so if you can solve Sudoku in polynomial time, protein folding can also be solved. Interesting to note about NP-C problems, that If a solution is found for only one of the NP-complete problems that is in P, then that will lead us to the solution of all the NP-C problems. The cure of cancer lies in protein folding Sudoku algorithms are currently NP-complete (NP-C), meaning It is in NP, the solution for any puzzle can be quickly verified if known, but there is no known algorithm for sudoku that is in P. NP includes the following problems: shortest path (once the shortest path is found, verifying the solution is really easy), the traveling salesman, satisfiability problems. NP (Non-deterministic Polynomial time) is a set of functions/algorithms that can check the solution quickly (in polynomial time). Some example P problems are: sorting a list of numbers, finding the greatest common divisor, etc. So more simply saying, P algorithms can solve a problem quickly. P is a set of functions/algorithms that can solve a problem in a relatively short time. Once a sudoku algorithm is found to be in P ( Polynomial time), meaning that the solution can be found in a relatively short time, then fundamentally, It will lead us to the cure of cancer. First I’ll tell why the algorithm that solves a sudoku puzzle could lead us to the cure of cancer, then I’ll introduce the formal description of the problem, then I’ll introduce the most used algorithms and the comparison of their runtime, lastly I’d like to meditate on some unique algorithms. In this article, I would like to show the most efficent algorithms that can make a computer solve any sudoku puzzle. Sudoku is also called Number Place Puzzle. Two videos you may want to check out are Double Scanning Technique and Wayne Gould’s X-Wing Strategy.Even if you play a lot of sudoku, you will find it very difficult to improve in the speed of your game. Perhaps the easiest way to learn intermediate and advanced sudoku puzzle-solving techniques is with the aid of videos. Ask a friend to check the solution to make sure all the entries you have made so far are correct. Sometimes when you are stuck, it means that you have made an error. Start with 1 and systematically scan the puzzle looking for obvious (or not so obvious) places where another 1 could go. It may help you see the solution to another cell.Ħ) Stuck? Go through the numbers, 1 to 9. ![]() Be sure to write in that number immediately. After 8 numbers have been completed in any row, box or column, the remaining number is obvious. This information often will help you solve other cells in the same row, column or box.ĥ) Complete obvious numbers. For example, you may know that one particular cell must be either an 8 or a 3 but can’t determine which one is correct. For example, if a puzzle has a lot of 3s, there is an excellent chance you can complete more 3s using elimination.Ĥ) Make notes. Most players prefer to start by working with the number that has the most givens. By knowing where another 1 can’t go, you can often determine the only place it can go.ģ) Start with the givens. When you see a 1, you know that another 1 cannot be in that same row, column or box. When starting a sudoku puzzle, you will generally determine the first numbers using elimination. There is only one correct number than can be entered into any particular cell.Ģ) Use elimination. Sudoku is not a guessing game but rather a game of logic. Only enter a number if you are sure that is the only possible number that can go in that space.
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