Variations and Generalisations to the Rearrangement Inequality
نویسنده
چکیده
Problem 1. Assume the dimensions of an answer sheet to be 297 mm by 210 mm. Suppose that your pen leaks and makes some non-intersecting ink stains on the answer sheet. It turns out that the area of each ink stain does not exceed 1 mm. Moreover, any line parallel to an edge of the answer sheet intersects at most one ink stain. Prove that the total area of the ink stains is at most 253.5 mm. (You may assume a stain is a connected piece.)
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