Colored Circles

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A circle is divided into $N$ equal sectors. Each sector is colored using at max $M$ colors in such a way that there are at least two distinct colors in the circle. The circle obtained after coloring should have the following property: If the circle is rotated clockwise one sector at a time, it should return to the initial state (position before starting rotations) only at $N * i$ rotations (for

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solution.cppC++17

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