examples.txt can be used to deduce the definition of seven functions:

• elements(): sum of the atomic numbers of all elements appearing as letters or bigrams in the word; elements appearing multiple times are included multiple times
• index(): lexicographic order of the word among all unique permutations of its letters
• midpoint(): taking A=1, B=2, etc., as a “length”, the number of full letters and fraction of the next letter that comprise half the “length” of that word, rounding if necessary
• news(): taking N, E, W, and S as directions, the euclidean distance from the start to end of the word, rounded if necessary
• scrabble(): sum of the point values of the scrabble tiles used to build the word, with no blank tiles or bonus squares
• typewriter(): number of letters in the word appearing on the top row of a qwerty keyboard
• units(): number of letters in the word

Using these seven functions, all of the individual puzzles can be solved. In addition, there is an 8th property, “special”, which all of the puzzles have. Unlike the examples, with clues given alphabetically, the individual puzzles have their clues given in a specific ordering: they are all a subset of UNISTEMS. This should clue the extra property—all 10,000 answers to the puzzles can, with one letter added, be anagrammed to produce a new word in the given dictionary. The 10,000 words, with their additional letters, are given below.

Only 8 letters are added to these unistems: U, D, L, R, F, B, A, and K—the 8 directions on a tesseract. Thus, we can interpret these answers as part of paths. The cube has one long path just over 1,000 in length, looping back on itself, and then numerous small paths or short connections to the main path.

A tesseract has 8 facets, each with 6 faces (24 total faces, each shared between two facets). The long path draws a letter on each of the 24 faces, also given below. The six letters on each face anagram to a new unistem:

These eight letters need one last added N to be anagrammed to the final answer, PERSONNEL.