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MathNet 2015-part-01 — 191 problems (EN–VI) Question 1

Math Olympiad Vault · MathNet 2015-part-01 — 191 problems (EN–VI)

Question 1

The lower row of a $2 \times 13$ rectangle is filled up with 13 markers labeled $1, 2, \ldots, 13$ in this order. An operation is moving a marker from its cell to an adjacent (by side) empty cell. The task is to rearrange the markers in the reverse order, in the lower row again. Do this with a minimal number of operations.