Maximizing Minimum Distance

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You have to place $(N+1)$ points in an $N$-dimensional space so that: 1. All these $(N+1)$ points are $1$ unit distance away from the origin $(0, 0, \dots, 0)$. 2. The minimum distance between all pairs of these $(N+1)$ points is maximized. If there are many solutions, output any of them. Your solution will be accepted if the absolute error of the minimum distance between all pairs of these $(N+

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solution.cppC++17

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