Wait: 45° is the smallest valid angle, but step size = 18°, so find smallest n such that 18n ≡ 45 (mod 360), and 18n is multiple of 45, not of 90.
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- Next: 405° ÷ 18 = <<405/18=22.5>>22.5 → no.
- Next: 495° ÷ 18 = <<495/18=27.5>>27.5 → no.
- Next: 540° is multiple of 90 → invalid.
- 18n = 45k, integer k, n integer, and 18n not multiple of 90 → n not multiple of 5.
- 18n divisible by 45 → 18n = 45k → 2n = 5k → n must be multiple of 5 → contradiction?
- Wait: 18n divisible by 45 → 2n divisible by 5 → n divisible by 5. So every valid n must make step count a multiple of 5.
