Locally Operating Globally Interconnected Computers

puzzle LOGIC(input):

Construction:

Write each word in the grid, one letter per space, starting at the triangles and proceeding in the indicated direction.

A 9x9 grid. There are some arrows in the grid, and words written next to them outside of the grid. Counting rows and columns starting at (1, 1) in the top left: LIST(lover) is to the left of row 1, column 1, which contains a right-pointing arrow; EMPTY(frayed) is to the right of row 2, column 9, which contains a down-pointing arrow; input is to the left of row 5, column 1, which contains a right-pointing arrow; CLUES(born) is to the left of row 9, column 1. There are also some letters in the grid. A is written in row 3, column 3. B is written in row 3, column 7. C is written in row 8, column 6. A 2nd A is written in row 8, column 7. Some of the edges have the letter a written on them, with subscripts 1 to 11. Some of the cells have the letter b written in them, with subscripts 1 to 11. b1 is in row 1, column 3; b8 is in row 1, column 5; b6 is in row 2, column 4; b2 is in row 2, column 7; a10 is between row 2, column 5 and row 3 column 5; b7 is in row 3, column 6; a2 is between row 3, column 5 and row 4, column 5; b11 is in row 4, column 2; a5 is between row 4, column 4 and row 4, column 5; a3 is between row 4, column 3 and row 5, column 3; a1 is between row 4, column 5 and row 5, column 5; a11 is between row 5, column 5 and row 5, column 6; b9 is in row 5, column 8; a8 is between row 5, column 2 and row 6, column 2; a9 is between row 5, column 6 and row 6, column 6; b10 is in row 6, column 4; b3 is in row 6, column 5; b4 is in row 7, column 3; b5 is in row 7, column 6; a4 is between row 7, column 2 and row 8, column 2; a7 is between row 7, column 5 and row 8, column 5; a6 is between row 8, column 4 and row 8 column 5. LIST(lover) EMPTY(frayed) input CLUES(born)
LIST(lover) ▶
▼ EMPTY(frayed)
A B
input ▶
C A
CLUES(born) ▶

The gray aᵢs and bᵢs in the original grid have been replaced with dotted lines and bold text. See original puzzle for specific values.

Deduction:

Ignore the gray aᵢs and bᵢs for now.

Solve as a NIKOJI:

  • Divide the grid into regions along gridlines.
  • Every region must contain exactly one letter.
  • Regions with the same letter must have the same shape and orientation, with the letter in the same relative position.
  • Regions with different letters may not have the same shape, even with rotation and/or reflection.
H E O H E O H E O H E O
L L L L L L L L
O R O R O R O R
W L D W L D W L D W L D
Example Incorrect Incorrect Correct

Extraction:

Let output be the empty string.
For each i from 1 to 11:
If aᵢ is not a border between two regions:
Append the letter from bᵢ’s region to output.