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Journal : International Conference on Engineering and Technology Development (ICETD)

Solving Pixel Puzzle Using Rule-Based Techniques and Best First Search Dina Stefani; Arnold Aribowo; Kie Van Ivanky Saputra; Samuel Lukas
International Conference on Engineering and Technology Development (ICETD) 2012: 1st ICETD 2012
Publisher : Bandar Lampung University (UBL)

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (898.086 KB)

Abstract

Pixel puzzle is a logic puzzle which consists of a blank grid with clues on the left of every row and on the top of every column. The objective is to paint blocks in each row and column so their length and sequence corresponds to the clues, and there is at least one empty square between adjacent blocks. There are many possible solutions to paint blocks in each row and column. Solving the puzzle manually gives the possibility to fill cells yield erroneously. Therefore an attempt to solve the puzzle with the aid of computer software is performed.In this paper, rule–based techniques and best-first search are utilized to solve the puzzle. According to experiments have been conducted, it can be concluded that rule-based techniques and best-first search are able to solve the Pixel Puzzle. The result also indicates that the larger size of pixel puzzle, the longer average time to solve is needed. Moreover, the average time to solve one cell of pixel puzzle depends on the size itself except for the 10 × 10 and 15 × 15 pixels. 
Solving and Modeling Ken-ken Puzzle byUsingHybridGeneticsAlgorithm Olivia Johanna; Samuel Lukas; Kie Van Ivanky Saputra
International Conference on Engineering and Technology Development (ICETD) 2012: 1st ICETD 2012
Publisher : Bandar Lampung University (UBL)

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (626.347 KB)

Abstract

Kenken is logic puzzle which similar to Sudoku. The basic rules are same as Sudoku. As in sudoku, the goal of each puzzle is to fill a grid with digits 1 through 4 for a 4×4 grid, 1 through 5 for a 5×5, etc. No digit appears more than once in any row or column. Grids range in size from 3×3 to 9×9. Unlike sudoku, KenKen grids are divided into heavily outlined groups of cells often called “cages” and the numbers in the cells of each cage must produce a certain “target” number when combined using a specified mathematical operation (addition, subtraction, multiplication or division). ). For example, a three-cell cage specifying addition and a target number of 6 in a 4×4 puzzle might be satisfied with the digits 1, 2, and 3. Digits may be repeated within a cage, as long as they are not in the same row or column. No operation is relevant for a single-cell cage: placing the "target" in the cell is the only possibility. The target number and operation appear in the upper left-hand corner of the cage. Initially, none of the cell in a cage in Kenken has value. Kenken is such a simple logic puzzle, but finding the solution is quite complex, especially for harder problem. Therefore, research is conducted to develop software which can solve Kenken problem.The research will produce software that can solve kenken puzzle byusingheuristic search and hybrid genetic algorithm. Heuristic search will be done by applying certain logic rules. If the puzzle is still not being able to be solved then hybrid genetic algorithm will be run. How can the software solve the kenken problem will be explained in this paper.After conducting some researchs and implementing the software and doing the testing, some experiments were conducted and it proved that the hybrid genetics algorithm can solve the kenken puzzle and bbased on experiment result, the size of puzzle and the difficulty of problems affect the time needed to find a solution