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SMO 2023 Open Round 1 Question 10

SMO · SMO 2023 Open Round 1

Question 10

Find the area of the region represented by the equation $\lfloor x\rfloor+\lfloor y\rfloor=1$ in the region $0\le x\lt 2$.

(Note: If you think that there is no area defined by the graph, enter “0”; if you think that the area is infinite, enter “9999”.)