If we have tried all the numbers and we still do not find any valid number, we will use backtracking and unmark all the cells that we marked before and repeat the process for new number. If it is not present, we will place the number on the current cell (mark) and move to the next cell which has zero. If that number is already present we will not place it. Before using that number, we will first check whether that number is valid or not by checking whether the current row, column or sub matrix contains the number already. With the help of recursion and backtracking, we will try to place every number from 1 to 9 on the cell where zero is present. Sudoku can be divided into 9, 3 X 3 boxes as shown in the image below. Largest Number Possible After At Most K SwapsĮach row should have number from 1 to 9 without repetition.Įach 3 X 3 box should have number from 1 to 9 without repetition. However the best way to start is the other way round - finding the. Nknights Combinations - 2d As 1d - Knight Chooses The obvious way to solve a sudoku puzzle is to find the right numbers to go in the squares. Nqueens Combinations - 2d As 1d - Queen Chooses Nqueens Permutations - 2d As 1d - Queen Chooses
Queens Combinations - 2d As 1d - Queen Chooses Queens Combinations - 2d As 2d - Queen Chooses Input Format 99 integers ranging from 1 to 9. Queens Permutations - 2d As 2d - Box Chooses Assumption -> The given Sudoku puzzle will have a single unique solution. Queens Combinations - 2d As 2d - Box Chooses In: Lecture Notes in Computer Science, vol. 4448, pp.Queens Permutations - 2d As 2d - Queen Chooses Geem, Z.W., Choi, J.–Y.: Music Composition Using Harmony Search Algorithm. Journal of the American Water Resources Association 37(5), 1131–1138 (2001) Kim, J.H., Geem, Z.W., Kim, E.S.: Parameter Estimation of the Nonlinear Muskingum Model Using Harmony Search. In: Proceedings of the 26th International Conference on Offshore Mechanics and Arctic Engineering (OMAE 2007), ASME. Ryu, S., Duggal, A.S., Heyl, C.N., Geem, Z.W.: Mooring Cost Optimization via Harmony Search. In: Proceedings of 2006 US-Korea Conference on Science, Technology, & Entrepreneurship (UKC 2006). Geem, Z.W., Hwangbo, H.: Application of Harmony Search to Multi-Objective Optimization for Satellite Heat Pipe Design. Geem, Z.W., Lee, K.S., Park, Y.: Application of Harmony Search to Vehicle Routing. In: Lecture Notes in Computer Science, vol. 4507, pp. Geem, Z.W.: Optimal Scheduling of Multiple Dam System Using Harmony Search Algorithm. Geem, Z.W.: Optimal Cost Design of Water Distribution Networks using Harmony Search. Lee, K.S., Geem, Z.W.: A New Structural Optimization Method Based on the Harmony Search Algorithm. Geem, Z.W., Kim, J.H., Loganathan, G.V.: A New Heuristic Optimization Algorithm: Harmony Search. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences 86, 1052–1060 (2003)
Yato, T., Seta, T.: Complexity and Completeness of Finding Another Solution and its Application to Puzzles.
In: Collet, P., Tomassini, M., Ebner, M., Gustafson, S., Ekárt, A. Nicolau, M., Ryan, C.: Solving Sudoku with the GAuGE System. cs.DS/0507053 (2005)Ĭaine, A., Cohen, R.: A Mixed-Initiative Intelligent Tutoring System for Sudoku. Eppstein, D.: Nonrepetitive Paths and Cycles in Graphs with Application to Sudoku.
0 kommentar(er)
