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2011 xIMC keystage2-EMIC individual Question 15

xIMC · 2011 xIMC keystage2-EMIC individual

Question 15

On a board with $2011$ rows and $4024$ columns numbered from bottom left, a snail starts at $(1,1)$ moving right. It turns left before leaving the board or revisiting a cell, making an inward spiral through every cell. Find the sum of the final row and column numbers. The shown $4\times5$ example ends at $(3,2)$.

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