Paint-By-Numbers Puzzle

Paint-By-Numbers Puzzle

Chanwit Suebsureekul

CS491B Spring 2006

Chanwit Suebsureekul

CS491B Spring 2006

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Introduction

• The black cells are hiding

• Find them!

• Use numbers as clues

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Chanwit Suebsureekul - California State University, Los Angeles - PBN

The Rule

• Each number represents the number of contiguouscontiguous black cells, called a blockblock

• There must be “at leastat least” one space between blocks

• The blocks are in the same same sequencesequence as the numbers

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Motivation

• Mario’s Picross

• Can we make the computer think

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Objective

• Puzzle Solver

• Game

• Puzzle Editor– Edit by numbers– Edit by painting

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Technology

• J2SE 5.0

• Java Advanced Imaging (JAI)

• Javagram

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JAI

• Advance Image Processing

• Support standard image file formats– BMP, GIF, JPEG, PNG, TIFF, etc.

Original64x64

Resized20x20

Grayscale Monochrome

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Javagram

• Created by Steven Simpson

• Solve a puzzle one line at a time• LineSolver class

– FastLineSolver– CompleteLineSolver

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FastLineSolver

• Use the “Pushing Technique”– Push to the left– Push to the right– Look for the overlap

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FastLineSolver Example

Push

Push

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CompleteLineSolver

• Try all possibilities

• Look for the overlap

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CompleteLineSolver Example

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FastLineSolverVS

CompleteLineSolver

• FastLineSolver is much faster• CompleteLineSolver guarantees

the best result

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Example

FastLineSolver CompleteLineSolver

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Javagram Deficiency (1)

• A conflict

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Javagram Deficiency (2)

• Multiple solutions

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Javagram Deficiency (3)

• Not enough clue

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Recursive Guessing

Main Program

Recursive Guessing

Javagram

Puzzle

Solution

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Guessing Technique

• Pick a random unsolved cell• Make a guess• Continue solving puzzle

– If conflict, rollback and change the guessed cell (wrong guess)

– If not conflict, find the solution (right guess)• Still have to rollback and try another path

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Why Recursive?

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Demo

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Summary

• Paint by Numbers puzzle

• JAI

• Javagram– FastLineSolver– CompleteLineSolver

• Recursive Guessing Technique