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Gladice painted the cell of a 1 x 1 square black. Then she added three cells to the upper-left side to form a 2 × 2 square (and labeled the addition "1" as shown). Then she added five cells (labeled "2") to the upper-right side to form a 3 x 3 square. Then she added seven cells (labeled "3") to the bottom-right side to form a 4 × 4 square. Then she added nine cells (labeled "4"') to the bottom-left side to form a 5 × 5 square. Then she added eleven cells (labeled "5") to the upper-left side to form a 6 × 6 square, and so on. Gladice continued this pattern until she had a 2023 × 2023 square. What is the number of the row and what is the number of the column of the black cell in the final square?
Sagot :
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