Table of Contents

Corning Community College

CSCS2330 Discrete Structures

Project: WEEKLY PUZZLE FUN (wpf8)

Part 1: 7x7 logic-grid puzzle

Objective

To apply your skills in the solving of a logic puzzle. We've now been through the gamut of resolutions on easy difficulty. You'll find the clues may reveal less direct things, but indirectly is where the connections will be made.

Grid-Based Puzzle Strategies

Some things to keep in mind when solving this type of puzzle:

Remember, keeping track of what has been eliminated is just as important as tracking what has been identified. A lot of trouble or “dead ends” have emerged when people were not keeping full inventory on grid box eliminations.

Please do endeavor to put forth original, honest effort in the solving of these puzzles, by hand; the process will help foster and solidify many analytical reasoning skills that will influence and improve your logic and programming skills. Improvements won't happen overnight, but through consistent practice, by the end of the semester you should start reaping the benefits of such an activity.

Puzzle Backstory

Bill is shopping for a digital camera. Help him narrow down his options by matching each camera to its maker, resolution (in megapixels) and price.

Puzzle

Clues

  1. The G-290 is either the camera with a resolution of 18 megapixels or the $575 camera.
  2. The DM-5000 costs 75 dollars more than the camera with a resolution of 15 megapixels.
  3. Of the camera made by Dayero and the Lectra 6, one has a resolution of 26 megapixels and the other costs $550.
  4. Of the $650 camera and the MX-827, one has a resolution of 18 megapixels and the other is made by Cober.
  5. The camera with a resolution of 14 megapixels costs more than the Lectra 6.
  6. Of the $700 model and the camera made by Lirios, one is the G-290 and the other is the DM-5000.
  7. Neither the camera with a resolution of 24 megapixels nor the $650 model is the Tela G5.
  8. Neither the model with a resolution of 24 megapixels nor the G-290 is the model made by Nectron.
  9. The Zenix 2C costs 75 dollars more than the model with a resolution of 26 megapixels.
  10. The seven cameras are the camera made by Honwa, the DM-5000, the model with a resolution of 26 megapixels, the MX-827, the camera with a resolution of 24 megapixels, the G-290 and the $650 camera.
  11. Of the model with a resolution of 26 megapixels and the camera with a resolution of 12 megapixels, one costs $700 and the other is made by Banion.

Part 2: Letter Division Puzzle

Objective

Logic grids are not the only form of logic puzzle; here is another one that relies heavily on logic and reasoning in order to sift through.

A letter division puzzle is one where the numbers 0-9 have been replaced with various letters of the alphabet; it is your task to determine what number each letter maps to, and report that to me in the project submission.

Letter Division Puzzle Strategies

Some things to keep in mind when solving this type of puzzle:

As I said: For this sort of problem, you will likely want to take notes; all the various little tests you concoct to prove or disprove some relationship can be important in the bigger picture. This may also take a bit longer and seem more overwhelming (especially at first), but really, it is just longhand math :) Remember to attack the problem in pieces, and not head-on all-at-once.

Practice some similar math problems to derive patterns so that the seemingly unfamiliar letters performing math can start to make more sense.

Puzzle

               TUTU
       +-----------
OUTFIT | ACCOUNTANT
        -AAUTFUT
         =======
          TIIOTFA
         -LUNTIFT
          =======
           AHIAHCN
          -AAUTFUT
           =======
            TACHFUT
           -LUNTIFT
            =======
             OOAHUF
number 0 1 2 3 4 5 6 7 8 9
letter

Part 3: Sudoku puzzle

Objective

With the logic grids you put your logic skills to the test, with the word math you math skills. Here, we will explore various other types of puzzles, often combining both logic and math skills to solve, but also exercising different aspects of your deduction/induction skills.

Puzzle

6 3 5
1 9
9 3 2 1
5 8 1 6
9 6 5 2
2 6 3 7
1 8 6 4
8 2
3 7 2

Enter numbers into the blank spaces so that each row, column and 3×3 box contains the full sequence of numbers 1 to 9.

Top row:

pos #0 pos #1 pos #2 pos #3 pos #4 pos #5 pos #6 pos #7 pos #8
6 3 5

Submission

To submit this weekly puzzle, simply run the submit line below; a submit-time questionnaire will collect your puzzle results.

Submit Tool Usage

When you have completed work on the project, and are ready to submit, you would do the following:

lab46:~/src/discrete/wpf$ submit discrete wpf8
Submitting discrete project "wpf8":

SUCCESSFULLY SUBMITTED
lab46:~/src/discrete/wpf$