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By Scott Purdy
Answer: LETHARGIC

First, solve the logic puzzle of the playing field:

305534 0752457 11431151 004350
0 32 2 90 08 0
3 3 311 043 4 455 5 55
15 1 157 34 674 1 1405 05
2 24 43 05985 15 1 15 2525 55 23 55 74415 0 31 0 84058
2 5 4 5 5 41 42 3 5
3115543 9 15 11 75245 5 2 106 74615 55 32 55 81335 15 1 15
11 3 145 13 4574 137 5 2
07205 25 85 17505 25 4 0 45052 03 5 12 56735 13 42 25
2 2 2 5 0
0 4 710 05725 65 51 65 111060 55 5 55 031315 05 05 255052
5 3 7107 2 1105 2 036 213 6
9 51 04 75275 75 34 75 020235 0 3 6 21065 9 36 4264518
7 2 3 14 54 4 5
520405 5 3 13 6105 45 4 45 45146 9 54 02 125635 2 15 6
15 1 156 2 55 020 5
440597 0 13 033 6 15 55 54605 45 13 45 15325 55 32 55
5 54 1 4 2 12 0
35 21 35 75675 0 34 126 55635 0 3 18365 4 4 15 260450
5 626 2 1135 3 3535 3 35
97 543 3305 055 2 4610 55
0 00 5 53 51 65 5 5
5405335 35126263 6173053 4552254

Next, for each subfield, translate the five players into letters, per the labels in the sample puzzle. Taking each subfield in player order, this produces 20 five-letter words, which, conveniently, start with the letters A through T. Indexing into these words, in alphabetical order, by the endgame string at the bottom of the puzzle gives a message:

  • ACIDS 5 = S
  • BIGHT 4 = H
  • CHEAP 4 = A
  • DRANK 2 = R
  • EPOCH 1 = E
  • FJORD 5 = D
  • GULCH 3 = L
  • HERON 2 = E
  • INERT 5 = T
  • JILTS 4 = T
  • KEMPT 2 = E
  • LORDS 3 = R
  • MAGUS 5 = S
  • NICER 2 = I
  • OAKEN 5 = N
  • PURGE 4 = G
  • QUOTE 3 = O
  • RAILS 2 = A
  • SLOTH 2 = L
  • TOMBS 5 = S

Looking at the words in the subfields that produced them, only a few overlapping subfields have words that share letters. Placing those letters into the shared goal squares produces your answer, LETHARGIC.