distinct-numbers-o1-mathematical-reduction

Status: IN

`distinct_numbers(n)` is an O(1) closed-form solution: returns 1 if `n == 1`, else `n - 1`, based on the insight that `x % (x-1) == 1` cascades from `n` down to `2`.

Source: entries/2026/06/06/count-distinct-numbers-on-board-solution.md

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