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Start with an infinite two dimensional grid filled with zeros, indexed from (1,1) at bottom left corner with coordinates increasing towards the top and right. Given a series of coordinate (r, c) where r is the ending row and c is the ending column, add 1 to each element in the range from (1,1) to (r, c) inclusive. Once all coordinates are processed, determine how many cells contain the maximal value in the grid.

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