Finish folding the transparent paper according to the instructions. The manual says the code is always eight capital letters. The letters ABCDEFGHJKLOPRSUZ are represented in the following way:
.##. ###. .##. ###. #### #### .##. #..# ..## #..# #... .##. ###. ###. .### #..# ####
#..# #..# #..# #..# #... #... #..# #..# ...# #.#. #... #..# #..# #..# #... #..# ...#
#..# ###. #... #..# ###. ###. #... #### ...# ##.. #... #..# #..# #..# #... #..# ..#.
#### #..# #... #..# #... #... #.## #..# ...# #.#. #... #..# ###. ###. .##. #..# .#..
#..# #..# #..# #..# #... #... #..# #..# #..# #.#. #... #..# #... #.#. ...# #..# #...
#..# ###. .##. ###. #### #... .### #..# .##. #..# #### .##. #... #..# ###. .##. ####
Two letters are always separated with a column that only consists of dots (.).
What code do you use to activate the infrared thermal imaging camera system? Determine this in the following way:
Write a function dots that takes the pathname (String) of a text file containing a list of dots on a transparent paper, an empty line and a list of fold instructions. The function must return the code of eight capital letters (String) that activates the infrared thermal imaging camera system.
The return value should be wrapped in the IO monad if needed.
In this interactive session we assume the text file paper.txt1 is located in the current directory.
> dots ("paper.txt")
"RPCKFBLR"
After all fold instructions have been applied, this transparant paper looks like:
###..###...##..#..#.####.###..#....###.
#..#.#..#.#..#.#.#..#....#..#.#....#..#
#..#.#..#.#....##...###..###..#....#..#
###..###..#....#.#..#....#..#.#....###.
#.#..#....#..#.#.#..#....#..#.#....#.#.
#..#.#.....##..#..#.#....###..####.#..#