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--- haas:fall2017:discrete:projects:wpf3 [2016/09/11 22:28] – external edit 127.0.0.1
+++ haas:fall2017:discrete:projects:wpf3 [2017/07/24 13:31] (current) – wedge
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 ~~TOC~~
-======Project: 7x7 LOGIC PUZZLE - WEEKLY PUZZLE FUN (wpf3)======
+======Project: WEEKLY PUZZLE FUN (wpf3)======
-=====Objective=====
+=====Part 1: 7x7 easy-level difficulty logic-grid puzzle=====
-To apply your skills in the solving of a logic puzzle.
-=====Puzzle Backstory=====
+====Objective====
-Spaceco Mining plans to be the first company to ever successfully mine an asteroid. In fact it has already established a timeline for its first series of mining expeditions. Using only the clues below, match each asteroid to its diameter, and determine what element Spaceco plans to mine from it, as well as the year they intend to begin mining.
+To apply your skills in the solving of a logic puzzle. We're going to increase the grid resolution by 1, for a 7x7 grid size, our last puzzle on the easiest level of difficulty.
-=====Puzzle=====
+Each week there will be a new puzzle with gradually increasing resolution and/or difficulty. Next week we will reset to 4x4 and ramp up the difficulty to intermediate.
-{{ :haas:fall2016:discrete:projects:wpf3.png |}}
+====Grid-Based Puzzle Strategies====
+Some things to keep in mind when solving this type of puzzle:
+  * no selection in any category can be used more than once
+  * analyzing what is **NOT** possible can be just as helpful as finding what **IS** possible
+  * be mindful of the properties of your basic logical connective words:
+    * **NOT**: typically stating an invalidation
+    * **AND**: identifying a grouping (bread AND butter, indicating the two are paired in some fashion of consideration)
+    * **OR**: for the purposes of these puzzles, the association of various items with the **OR** connective is typically done in an **EXCLUSIVE** fashion versus the **INCLUSIVE** fashion it can also be used as. An **EXCLUSIVE OR** (XOR) means ONE or the OTHER, but **NOT BOTH**
+  * Mark off disproven cells with an **X**
+  * For proven cells, some sort of confirmation mark (I like using a small solid circle)
+  * Some print out the puzzle and complete it in pencil; others load the image into some sort of image/paint program and use the "fill" tool (with two different colors queued up) to complete the puzzle. Either way, you will want to record your resulting associations to report to the submit tool
+  * From experience, especially with any new or less familiar activity, the more manual you make the process and perform it **by hand**, the more improvement you will reap over time
+  * Be sure to cross-reference! Sometimes you'll get "half" or indirect clues in one category, which can be linked to an associated "half" or indirect clue in another category, enabling further cell eliminations or even derivations of confirmed association(s)
+  * Be aware of your units, and how they progress; provided clues will often play off the patterned ordering of the units
+  * Once you have fully exhausted a clue, cross it out to aid you in focusing on the clues that still need resolution
-=====Clues=====
+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.
-  - 26 Amphitrite has a diameter 12 km larger than the asteroid rich in rhodium.
+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.
-  - The asteroid rich in cobalt has a diameter 12 km smaller than the asteroid rich in platinum.
-  - The asteroid that Spaceco will begin mining in 2034 has a diameter 18 km smaller than the asteroid that Spaceco will begin mining in 2028.
+====Puzzle Backstory====
-  - 413 Doiotima is either the asteroid that Spaceco will begin mining in 2045 or the asteroid rich in rhodium.
+A 15-year reunion took place at Eastwick High School this evening, and votes were taken on who would be crowned "King of the Reunion." Using only the clues below, match each contestant to the sport they played in high school, the number of votes they received, and their current occupation.
-  - 26 Amphitrite, the asteroid rich in platinum, and the asteroid rich in phosphorous are three different asteroids.
-  - The asteroid that Spaceco will begin mining in 2025 has a diameter 18 km larger than 82 Sylvia.
+====Puzzle====
-  - 49 Eugenia has a diameter that is somewhat larger than 11 Ceres.
-  - The asteroid rich in yttrium, the asteroid with a diameter of 47 km, the asteroid that Spaceco will begin mining in 2050, the asteroid with a diameter of 17 km and the asteroid that Spaceco will begin mining in 2028 are all different asteroids.
+{{ :haas:fall2017:discrete:projects:wpf3.png |}}
-  - 35 Ursula has a diameter that is somewhat smaller than the asteroid that Spaceco will begin mining in 2045.
-  - The asteroid with a diameter of 17 km is either 26 Amphitrite or the asteroid that Spaceco will begin mining in 2045.
+====Clues====
-  - The asteroid rich in cobalt has a diameter 6 km smaller than the asteroid that Spaceco will begin mining in 2034.
+  - The doctor received 21 votes fewer votes than Guillermo.
-  - The asteroid that Spaceco will begin mining in 2030 is either the asteroid rich in phosphorous or the asteroid with a diameter of 11 km.
+  - The musician never played football.
-  - The asteroid that Spaceco will begin mining in 2028 doesn't contain any phosphorous.
+  - Colin is either the soccer player or the lacrosse player.
-  - The asteroid that Spaceco will begin mining in 2030 has a diameter 18 km smaller than 61 Nemesis.
+  - Zachary never played basketball.
-  - The asteroid rich in nickel has a diameter 6 km smaller than the asteroid rich in cobalt.
+  - Of the lacrosse player and Nathaniel, one is the garbage man and the other received 25 votes.
+  - The person who got 25 votes isn't the dentist.
+  - Colin received 14 votes more votes than the golf player.
+  - Nathaniel is either the golf player or the hockey player.
+  - The doctor received 14 votes more votes than the architect.
+  - The musician never played soccer.
+  - The architect, the contestant who got 39 votes, and the basketball player are three different people.
+  - The soccer player is either Guillermo or Francisco.
+  - Tommy received 14 votes fewer votes than the waiter.
+  - The seven people are the contestant who got 32 votes, the waiter, the hockey player, the musician, the basketball player, the garbage man and the lacrosse player.
+=====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:
+  * take copious notes
+  * jot down patterns and observations
+  * perform tests to prove or disprove a relationship
+  * look for any "obvious" giveaway clues, like what letters could represent 0, 1, and 9
+  * try to identify the non-borrows, borrows, and "double" borrows, marking them as appropriate
+  * write out relationships so that you can keep track of them, things like:
+    * A < B << C
+      * I use the single less than to denote a direct neighbor (A is one less than B), and the double less than sign to denote general less than-ness (we know that B is less than C, but we do not know how much it is less than C).
+  * use "process of elimination" number sets
+    * I will also write out each letter and all the numbers it could be, erasing eliminated values along the way. Sometimes you will arrive at an association through this method.
+    * For example:
+      * A = { 0 1 2 3 4 5 6 7 8 9 }
+      * B = { 0 1 2 3 4 5 6 7 8 9 }
+        * and so on for each letter. If we were to determine that B is not 9, erase it from B's number set. That way, when we're hunting for possible candidates for 9 (for example), we can directly rule out B
+  * sometimes you can derive important clues from the multiplication aspect of the puzzle (especially finding the occasional dead-ringer for 0 or 1)
+  * don't rely on just one method: use all of these methods. With different puzzles you will find differing levels of values with each method (but in general, I find the more methods I use the easier the overall puzzle becomes)
+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====
+<code>
+             GIG
+      +---------
+STARS | GLITTERY
+       -IRSYAR
+        ======
+         IIRERR
+        - STARS
+         ======
+          GHRSSY
+         -IRSYAR
+          ======
+           TSTIA
+</code>
+^ number ^  0  ^  1  ^  2  ^  3  ^  4  ^  5  ^  6  ^  7  ^  8  ^  9  |
+| letter |  |  |  |  |  |  |  |  |  |  |
 =====Submission=====

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