Place Balls Twice

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There are $N$ boxes. Initially, each box contains one ball. For each $K$ from $1$ to $N$, solve the following problem: Choose a subset of boxes of size $K$ equiprobably at random, and place one additional ball in each chosen box. Then again choose a subset of boxes of size $K$ equiprobably at random, and place one additional ball in each chosen box. This second choice is independent of the firs

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solution.cppC++17

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