A 20 m by 12 m rectangular garden has an inward semicircular cut-out of diameter 12 m on one short side. Turf covers the remaining region. Fencing follows its boundary except for a 2 m gate on the opposite short side. Turf bags each cover 10 m2, and fence rolls each provide 5 m. Find the minimum whole numbers of bags and rolls required, showing your calculations.
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