69,105 Keys By David Welbourn.
Walkthrough: EngineerWolf
===Intro===
69,105 keys is a one room game. Only objective is find the right key and open the
door.
It’s a rather simple problem and very easy to solve, so a walkthrough seems
pointless.
I still decided to write it for fun. If you find it helpful, great!
===walkthrough===
x keys
Rather obvious. So the keys are of different colours.
x keys
and of different metals.
x keys (5 more times)
let’s see how many different properties the keys have
x properties
shows you all the properties [viz. size, shape, color, brand name,
metal, edge style and scratchness.] Out of these scratchness is boolean
(key is either scratched or not) so that’s easy to determine. Let’s start with
that.
count scratched keys
if it gives odd an number, the key we are looking for is scratched
(since it’s a unique key, all others have counterparts). If the value
is even then the key is among the unscratched once. *assuming it’s
scratched.
count size/edge style
You can try other properties as well. You can use any property but
possible values for size [tiny, small, big, huge] and edge style [milled,
pebbled, rounded, flat] are less (only 4, whereas there are 18 different
colors)
count [tiny, small, big, huge]
one of them will be odd. *assuming it’s tiny.
We have found two properties of our key so far: scratchness and size.
let's try counting
count scratched* tiny*
What you do know, it’s your key. No need to count 69105 keys after
all.
[optional]x key
It will give you all other properties color, brand etc. not important.
unlock vault door with key
Enjoy your treasure.
==Amusing==
* counting leaves?
* counting anything else? (tiles, walls, vault door, etc.)
* xyzzy?
* plugh?
* remembering the Count?
* singing?
===Review===
difficulty: beginner
rating: playable
Author uses rather obvious math to assign count values. If there are 4 key sizes, one
size has count 255, others has
(69105 - 255) / 3 keys. So event though there are total 7 properties and 207360
possible combinations (4 sizes, 6 shapes,
18 colors, 6 brand names, 10 metals, 4 edging styles and scratched/unscratched) you
need to try only 5 counts(scratched, tiny, small, big, huge).
===counts===
The numbers remain same. They are just randomly assigned. Utterly unimaginative way
to frame a puzzle.
key sizes:
[tiny, small, big, huge]
3 *
22950 + 255
bow shapes:
[oval, circular, square, trapezoidal, hexagonal, octagonal]
5* 13770 + 255
colors:
[white keys, black keys, red keys, orange keys, yellow keys,
green keys, blue keys, violet keys, brown keys, pink keys, grey keys, turquoise keys,
magenta keys, taupe keys, beige keys, aqua keys, navy keys, cyan keys]
17 * 4050 + 255
brand names:
[Acme, Borden, Carter, Dynamo, Emperor, Guardian]
5 * 13770 + 255
metal:
[silver keys, copper keys, steel keys, iron keys, gold keys,
nickel keys, bronze keys, brass keys, chrome keys, aluminum keys]
9 * 7650 + 255
edging styles:
[milled, pebbled, rounded, flat]
3 * 22950 + 255
scratchness:
[scratched, unscratched]
41560 +
27541
