Valid cuts are diameters (through center, 2 edge points) or radii (center to 1 edge point). One diameter cut splits circle into 2 equal slices.

For even n, n/2 diameter cuts suffice — each diameter produces 2 opposite slices. For odd n > 1, each cut can only create 1 new equal sector, so need n cuts.

n = 1 is special case requiring 0 cuts (whole circle already 1 piece). Formula: (n == 1) ? 0 : (n % 2 == 0 ? n / 2 : n).