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Suppose you have a balance and an unknown weight of $m \text{ kg}$, such that $100 ≥ m > 0$. If you are allowed to craft a weight of any known ...

In this game of Poisoned Chocolates there are $5$ stacks with $4, \: 3,\: 1,\: 7,\: 11$ pieces of perfectly safe chocolate respectively. Underneath the $5$ stacks, there is a large ...

On an island, everyone is either a knight or a knave. Knights only tell the truth (only make true statements), and knaves always lie (only make false statements).

There exists ...

Let $P$ be an arbitrary property such that the following holds for all natural numbers $k$.

If $P$ holds for all natural numbers smaller than $k$, then $P$ holds for ...

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