On the Subject of Ladders

I wonder what is at the tops of these ladders.

  • This module will contain three ladders underneath its panel. Press the round submit button to start the module and reveal the first ladder.
  • Select a rung to break it. For each stage, break the correct rungs on the stage’s ladder, and press the button to submit. A correct answer reveals the next stage’s ladder, while an incorrect answer incurs a strike and resets the broken rungs. A successful button press on Stage 3 results in a solved module.
  • The colors of the rungs on a ladder do not change upon a strike.
  • The order in which the rungs are broken only matters on Stage 3.
  • This module’s colors and abbreviations are red, orange, yellow, green, blue, cyan, purple, and gray.

Stage 1- Color Sequencing

Each cell in the table below represents a color sequence for three adjacent rungs that can be read either upwards or downwards. Identify all applicable cells in the table based on the edgework. Only one of the applicable sequences will be present on the first ladder. Break these three rungs and press the submit button to advance to the second ladder.

3+ letters in Serial 3+ numbers in Serial Serial contains a vowel Serial contains C,L,1,M, or B
0-1 Batteries P C G O Y G R C R A B G
2-3 Batteries C C A G R P Y B O R C A
4+ Batteries P O B O R B Y A G P A C

Stage 2- Binary Conversion

The second ladder’s rungs represent an 8-digit long binary number displayed using two colors. A rung of a different color is present to distinguish the end/start of the number. When read vertically, the higher rung is the more significant bit, and the lower rung is the less significant bit. Use the two colors that represent the binary number as rows/columns in the table below to identify which color represents a 1. The other color represents a 0. The rung of the third color will represent neither a 1 nor 0, and will never be broken.

Red Orange Yellow Green Blue Cyan Purple Gray
Red Orange Red Green Blue Red Red Gray
Orange Orange Yellow Green Orange Cyan Orange Orange
Yellow Red Yellow Yellow Blue Cyan Purple Gray
Green Green Green Yellow Green Cyan Purple Gray
Blue Blue Orange Blue Green Blue Purple Blue
Cyan Red Cyan Yellow Cyan Blue Cyan Cyan
Purple Red Orange Purple Purple Purple Cyan Purple
Gray Gray Orange Gray Gray Blue Cyan Purple

Once the binary is translated, convert it to base 10 and adjust it according to the rule that matches the third color present on the ladder.

Red Triple the number. Blue Subtract the number from 500.
Orange Multiply by the number of ports (use 2 if there are no ports). Cyan Multiply the number by the largest digit in the serial (use 2 if the largest digit is 0).
Yellow Take the number's digital root and cube the result. Purple Add the sum of the serial number digits to the number.
Green Add the number of modules on the bomb to the number. Gray Halve the number, rounding up.

If necessary, subtract 256 until it falls in the range 0-255. Convert the adjusted number back into binary and, within the eight rungs that represented the initial number, break the rungs that correspond to 1s in the adjusted number. The orientation of the bits on the ladder is the same (e.g. breaking the uppermost rung adds 128 in base 10 to the submitted number). Press the submit button to advance to the third ladder.

Stage 3- Alphabetic Sequencing

The third ladder’s cycle is seven rungs long. In this cycle, each rung is a unique color, and the rungs must be broken in a certain order. First, locate the word in the word bank below whose first letter matches the fourth character of the serial number. If the fourth character of the serial number is an X, use Y.

ABOLISH BREVITY CRAFTED DRAGONS EVOKING
FLICKER GHOSTLY HAYWIRE INSPECT JAILORS
KERATIN LEOPARD MASTERY NUCLEAR OPTIMAL
PAINFUL QUALIFY REBUILD SCOPING TEMPURA
UNCLEAR VIBRATE WEDLOCK YOUNGER ZODIACS

Replace the X’s in the column headers in the table below with the letters of this word, keeping their order in the word. Locate the applicable row and process the columns in alphabetical order according to the word’s letters. This gives a sequence of seven colors, and the order in which to break the rungs. Press the submit button after breaking all the rungs in the correct order to solve the module.

X X X X X X X
The
absent
color
on the
ladder
Red Y B A P C O G
Orange G C P B A R Y
Yellow O A B C P G R
Green R P C Y B A O
Blue A Y G O R C P
Cyan P R O G Y B A
Purple C G R A O Y B
Gray B O Y R G P C