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11, 21, 12, 31, 22, 13, 41, 32, 23, 14, …\frac 1{1},\ \frac {2}{1},\ \frac {1}{2},\ \frac {3}{1},\ \frac {2}{2},\ \frac {1}{3},\ \frac {4}{1},\ \frac {3}{2},\ \frac {2}{3},\ \frac {1}{4},\ \ldots 11, 12, 21, 13, 22, 31, 14, 23, 32, 41, …
If 18871920\frac {1887}{1920}19201887 is the mthm^\text{th}mth term and 17892018\frac {1789}{2018}20181789 is the nthn^\text{th}nth term of the sequence above, find ∣m−n∣.|m-n|.∣m−n∣.
Note: In this sequence, the fractions do not reduce. For example, 22\frac{2}{2}22 is distinct from 11.\frac{1}{1}.11.
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