Quantitative Researcher Intern Interview Questions

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Formal proof for: You have two groups of marbles: 1 marble and 2^n marbles. You can only double of the groups at each step, taking the amount from the other group. Is it possible to reach a state of 0 marbles in one group and 2^n + 1 in the other?
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Graduate Quantitative Researcher

Interviewed at Optiver

3.8
Dec 16, 2024

Formal proof for: You have two groups of marbles: 1 marble and 2^n marbles. You can only double of the groups at each step, taking the amount from the other group. Is it possible to reach a state of 0 marbles in one group and 2^n + 1 in the other?

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