Puzzles Flashcards
(42 cards)
Magic Question
“How many ways can this (rule or part of a rule) happen?”
How many distinct arrangements/outcomes are possible?
MQ forces you to mentally play out the rule in light of what you already know, and to discover its real impact when actually applied
Start with one “extreme”, count your way via one smallest-possible-increment at a time til you get to the opposite extreme
Ask it for every rule in every puzzle
Common Element
Anything (character, position, set, attribute, issue) that is mentioned in two or more different rules, that is mentioned in two or more different answers, or that is true in common among all the different legal outcomes.
Anything that is true among all the different legal ways a rule can play out in context is something that MUST be true generally.
Most efficient way to do puzzles
Work puzzle out as far as possible before starting to answer questions at all
“or”
“OR BOTH” (unless otherwise specified)
“either / or” = “at least one of…”
In puzzles, args, and passages
“unless”
“if not”
“Work the puzzle out…”
“…further, sooner.”
It will always be more efficient to do so. This will pre-answer at least a third of the questions.
“Your picture”
There’s no such thing as “the” picture for any given puzzle type. You have to experiment with 2-3 diff pictures for each type to find the one that works for YOU. (Then that’s your picture for that puzzle type.)
A good picture…
- is a “storage medium”
- is easy to manipulate
- shows the connections among rules and characters
- does the work for you (pre-answers as many questions as possible)
A question ELIMINATES a rule or REPLACES it with another rule
You have to REDRAW THE WHOLE PICTURE FROM SCRATCH, rule by rule
“Issues”
Categories of information.
All Puzzles have 2+ issues
An OverView will tell you…
- What the Puzzle’s issues are
2. How you personally want to think about (arrange) those issues
Numbers
Implicit in every puzzle, if only in the form of how many characters there are and how many places or connections there are that each character takes or makes (number of “data points”)
Almost always an issue…and likely to be the defining issue in any Puzzle that mentions numbers explicitly.
Steps of an OverView
- Read the intro paragraph
- Skim the rules
- Skim at least the Questions, and preferably the Answers too
Looking for what type of info you have and what type of things you’re being asked for. Will help you choose the best picture type.
Ordering Family puzzles
Absolute Ordering Relative Ordering Schedule Ordering Table Ordering Multiple Ordering
Matching Family puzzles
1-Issue Matching
2-Issue Matching
Multi-Issue Matching
Assignment Matching
Grouping Family puzzles
2-Bin Sorting
Multi-Bin Sorting
Selection
Mapping Family puzzles
Connection Mapping
Physical Mapping
Conceptual Mapping
Coding (L6) issues
Characters (symbols, abstractions, things, people) are placed or moved around in pre-set patterns of movement
usually involve cumulative generations of movements
Number-Crunch/Spreadsheet (L6) issues
Numbers of types of characters usually with 2 different attributes, have maximum, minimum, or fixed values, usually with numeric relationships among the values.
Can look just like Selection puzzles but with number values in most or all answers
Relative Ordering (L4) issues
Characters (people, places, things, events) are lined up in places relative to one another, but not in absolute/concrete positions
(at least until enough characters get “fixed” to permit concrete placement in some questions)
Label each character’s range of possible locations, by asking the magic question for each character (how many must be before/ahead of them, how many characters must be after/behind them)
Schedule Ordering (L4) issues
Events are lined up in time, with each block of time (day, hour) subdivided
Table Ordering (L8) issues
Characters (people or things) are placed in order around a table or anything else that wraps around
May or may not have absolute positions
Multiple Ordering (L8) issues
Same characters (people, things, events) are lined up in 2-5 separate sequences
1-Issue Matching (L5) issues
Characters (people, places, things, events, abstractions) each have or do not have a characteristic or attribute (diseases respond/don’t respond to various treatments)
or do or do not perform an act (technicians repair-don’t repair types of machines)
or do or do not have an act performed (movies get/don’t get reviewed by several reviewers)
1-issue matching puzzles can be done as bins instead.
(Better to do as sorting/bins if there’s exactly one appearance of each character. Better to do as matching/grid if there could be 0, 1, or multiple appearances of each character.)