Sudoku puzzles are created with the intent of being solved by human players with pencil, however as with many things they can be solved much faster with computers. The layout of a Sudoku puzzle comprises of nine rows and nine columns which make up eighty-one total squares. Sudoku puzzles have nine non- overlying zones each consisting of three grid rows and three grid columns, or nine total grids. In each of these zones all of the numbers must be unique (numbered one-nine). On a similar note, each number in a row or column must be unique (one-nine) . Players must use deduction and reasoning to solve these puzzles without making a mistake to arrive at the solution.
The Algorithm
Solver is an algorithm that does precisely what its name implies, it solves Sudoku puzzles. The goal is to provide the solution to the puzzle with the given inputs. Since every Sudoku puzzle only has one solution , there is no need for the solver to attempt to find multiple solutions.
Input and Output
Solver receives the Sudoku puzzle as input, which is given as a nine by nine two dimensional array. Prior to any solving the algorithm first checks if the input is valid. To do this it first makes sure that it receives a nine by nine two dimensional array by running it through a nested for loop making sure there are the right number of cells. It then checks to make sure there are no row, column, or block violations (such as there being more than 2 of the same number in a row, column or block). In addition to this it also does not allow you to input any number larger than nine. The way it does this is to only allow input of zero through nine, if the input does not satisfy this condition then the input is replaced with a white space. After the solving is d...
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... be informed of this and may not notice the change to whitespace. This could be a potential problem if the user does not notice before he/she presses to solve it, which would cause the solver algorithm would not give the solution that the user had wanted.
Summary
The Sudoku solver is an algorithm that gets the input of a Sudoku puzzle and attempts to solve it, returning a completely full Sudoku puzzle as a two dimensional matrix. Based upon a brute force algorithm it is not the most efficient algorithm, however it does get the job done. The addition of the options vector is an attempt to optimize the standard brute force method and greatly simplifies the algorithm. While the algorithm is not the most efficient, the fact that the input size is always the same (a nine by nine matrix) and is not particularly large, the inefficiency of the algorithm is not too taxing.
Problem Statment:You have to figure out how many total various sized squares are in an 8 by 8 checkerboard. You also have to see if there is a pattern to help find the number of different sized squares in any size checkerboard.Process: You have to figure out how many total different sized squares you can make with a 8x8 checkerboard. I say that there would be 204 possible different size squares in an 8x8 checkerboard. I got that as my answer because if you mutiply the number of small checker boards inside the 8x8 and add them together, you get 204. You would do this math because if you find all of the possible outcomes in the 8x8, you would have to find the outcome for a 7x7, 6x6, 5x5, 3x3, and 2x2 and add the products of
issue that is relative. By doing this, it automatically makes that reader think into the
...and diminish their distance between their present state and a mental sub-goal state, and apply a criterion against which to compare their progress (MacGregor et al., 2001). If a criterion is one step closer to the sub-goal or seems promising enough to reach the solution, then it is often applied and repeated. If not, the criterion will be discarded and new operators shall be taken into consideration. MacGregor et al. (2001) also came up a model comprised of two stages, to suggest plausible operators that people apply when faced with the nine-dot problem. Stage 1 comprises the selection of “optimal moves,” such as tracing lines in strategic places to cancel out the most number of dots. However, since Stage 1 alone does not incite a person to draw outside the boundaries, Stage 2 comes into play to allow people to consider a larger working area and new strategies.
It is a system which helps private lawsuit ascending for various kind of business disagreements.
It is that simpler explanations are more likely the better choice than complicated drawn out explanations. The simpler something is the easier it is follow and there is less room for mistakes. Complicated explanations are more likely to make errors in them. This of course is when both theories explain the data or situation equally well. For example if you walk into the kitchen and the cat food has been knocked over and split all over the floor you would have to evaluate the different explanations. If your in-between two explanations that are the cat jumped on the counter and knocked it over or the dog unlocked its kennel pushed a chair over to the counter and then jumped on the counter, this tool says to go with the first option. Both explanations are reasonable and would explain what happened but the first less
In conclusion the problem-posing style to education is not only the most effective way in helping a student retain the information, but it also sets everyone, whether it be the teacher or the students, at equilibrium. I am not just speaking from my point of view, but also from Freire. We both came to the same conclusion and based our opinions off our own experiences. This style of education is very effective in expanding the minds of the receiver by making them more interactive in their learning rather than the typical lecture and take notes. In this style of education people teach each other and the teacher is not the only one enlightening the class with their knowledge.
Let us see now how this algorithm works. The algorithms randomly creates solutions. Each one of these solutions has a fitness value based on some criteria. Those solutions of a specific problem are also called Phenotype, while the encoding of each solution is called Genotype. We refer on Representation as the procedure of establish the mapping between genotypes and phenotypes. Representation is used as in two different ways. As mentioned before, representation establish the mapping between the genotype and the phenotype. This means that representation could encode ore decode the candidate solutions.
Problem-solving courts are offense specific courts that specialize in their area; often times many different agencies get involved with the offenders to support them throughout the process.
Children can enhance their understanding of difficult addition and subtraction problems, when they learn to recognize how the combination of two or more numbers demonstrate a total (Fuson, Clements, & Beckmann, 2011). As students advance from Kindergarten through second grade they learn various strategies to solve addition and subtraction problems. The methods can be summarize into three distinctive categories called count all, count on, and recompose (Fuson, Clements, & Beckmann, 2011). The strategies vary faintly in simplicity and application. I will demonstrate how students can apply the count all, count on, and recompose strategies to solve addition and subtraction problems involving many levels of difficulty.
Crossword puzzles and Sudoku in their own respect present different difficulties. As a young girl I have fond memories of my grandfather sitting at the table every morning completing his crossword puzzle before doing anything else. I, on the other hand prefer neither of the puzzles. If I had to choose, the Sudoku was easier to complete. There is a definite psychological answer as to why I particularly feel this way, and why I believe that one is easier to complete than the other.
A problem can be defined as subject of concern between what is desired and what an actual situation is there, which makes it difficult to achieve a desired goal, purpose. A solution of a problem is an act performed in order to reduce the effects of the current situation and which gives direction to accomplish the goal or objective.
can not continue to the next level until its fixed. But this way of looking at
Elimination Technique - Use elimination method in order to search out to the finest answer that fits the question appropriately. With the help of elimination technique, you are typically able to get to the best answers and it minimizes the odds of you getting your answer wrong.
Generates a population of points for each iteration, leading to multiple options for solution out of which the best is to be selected.
Alignment was very important in this spreadsheet as without the right alignment cells could be uneven in size and some of the writing would not be visible in the cell as it is too small. This was done by highlighting the cells and choosing which alignment to choose, such as currency values would be aligned to the right.