On the Subject of The Fan

I'm already a huge fan...

  • The lower button toggles the fan’s power.
  • The upper button toggles the fan’s direction.
  • The fan has three states: Stationary, Spinning Clockwise, and Spinning Counter-Clockwise
  • The fan’s direction can only be changed when the power is on.
  • The fan will initially not be powered on. If the fan starts powered on, this is not the correct manual.
  • When the display shows the word “Power”, pressing the power button twice quickly will defuse the module.
  • Pressing the power button twice quickly when the display does not show the word “Power”, will result in a strike.
  • Solving a module which is not ignored by this module with the fan in an incorrect state will result in a strike.
  • The text on the display will change after solving a module.

Determining the Correct Fan State

Step 1: Calculate Letter x

  • Start with the number of solved modules.
  • Add the sum of the digits in the serial number.
  • Subtract the sum of the letters in the serial number (A = 1, Z = 26).
  • Add or subtract 26 until the result is between 1 and 26 inclusive.
  • Convert this number to a letter and remember it as x.

Step 2: Calculate Letter y

  • Sum all digits and letters (A = 1, Z = 26) in the name of the module being solved.
  • Subtract all digits and letters (A = 1, Z = 26) on the fan’s display screen.
  • Add or subtract 26 until the result is between 1 and 26 inclusive.
  • Convert this number to a letter and remember it as y.

Step 3: Determine Fan Behavior

  • If both x and y are vowels (A, E, I, O, U), the fan must be stationary.
  • Otherwise, if both x and y are present in the name of the module being solved, the fan must be spinning clockwise.
  • Otherwise, if both x and y are present in the serial number, the fan must be spinning counter-clockwise.
  • Otherwise, the state of the fan is (x + y) % 3 - 1
    (-1 is counter-clockwise, 0 is stationary, and 1 is clockwise.)

Appendix 1 - Fans

11
22
33
44
55
66
77
88
99
00
AA
Bb
Cc
Dd
Ee
Ff
GG
HH
II
Jj
KK
Ll
Mm
Nn
Oo
PP
Qq
RR
Ss
TT
UU
VV
Ww
XX
Yy
Zz