Let's color circles.

Geometry Level 4

150 concentric circles with radii 1, 2, 3, . . . , 150 are drawn in a plane. The interior of the circle of radius 1 is colored red, and each region bounded by consecutive circles is colored either red or green, with no two adjacent regions the same color. The ratio of the total area of the green regions to the area of the circle of radius 150 can be expressed as m/n, where m and n are relatively prime positive integers. Find m + n.

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