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The example sequence 011212201220200112 ... is constructed as follows: 1. The first element in the sequence is 0. 2. For each iteration, repeat the following action: take a copy of the entire current sequence, replace 0 with 1, 1 with 2, and 2 with 0, and place it at the end of the current sequence. E.g. 0 -> 01 -> 0112 -> 01121220 -> ... Create an algorithm which determines what number is at the Nth position in the sequence (using 0-based indexing).
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Quantitative Researcher

Interviewed at BlackRock

3.7★
Sep 16, 2025

The example sequence 011212201220200112 ... is constructed as follows: 1. The first element in the sequence is 0. 2. For each iteration, repeat the following action: take a copy of the entire current sequence, replace 0 with 1, 1 with 2, and 2 with 0, and place it at the end of the current sequence. E.g. 0 -> 01 -> 0112 -> 01121220 -> ... Create an algorithm which determines what number is at the Nth position in the sequence (using 0-based indexing).

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