Correct predictions are in blue. If we detect only a subset of a labelled sentence, we highlight the caught part as blue, the missing part light blue. False positives are in green and false negatives are in red.

Problem 024 (Langford's number problem) — Constraint detection

Consider two sets of the numbers from 1 to 4 . The problem is to arrange the eight numbers in the two sets into a single sequence in which the two 1 `` s appear one number apart , the two 2 `` s appear two numbers apart , the two 3 `` s appear three numbers apart , and the two 4 `` s appear four numbers apart . The problem generalizes to the L -LRB- k , n -RRB- problem , which is to arrange k sets of numbers 1 to n , so that each appearance of the number m is m numbers on from the last . For example , the L -LRB- 3,9 -RRB- problem is to arrange 3 sets of the numbers 1 to 9 so that the first two 1 `` s and the second two 1 `` s appear one number apart , the first two 2 `` s and the second two 2 `` s appear two numbers apart , etc. .

Problem 024 (Langford's number problem) — Detection of the decisions and objects to be modeled

Consider two sets of the numbers from 1 to 4 . The problem is to arrange the eight numbers in the two sets into a single sequence in which the two 1 `` s appear one number apart , the two 2 `` s appear two numbers apart , the two 3 `` s appear three numbers apart , and the two 4 `` s appear four numbers apart . The problem generalizes to the L -LRB- k , n -RRB- problem , which is to arrange k sets of numbers 1 to n , so that each appearance of the number m is m numbers on from the last . For example , the L -LRB- 3,9 -RRB- problem is to arrange 3 sets of the numbers 1 to 9 so that the first two 1 `` s and the second two 1 `` s appear one number apart , the first two 2 `` s and the second two 2 `` s appear two numbers apart , etc. .

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