Prove that there exists a convex 1990-gon with the following two properties :
a.) All angles are equal.
b.) The lengths of the 1990 sides are the numbers
,
,
,
,
in some order.
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Prove that there exists a convex 1990-gon with the following two properties :
a.) All angles are equal.
b.) The lengths of the 1990 sides are the numbers $1^2$, $2^2$, $3^2$, $\cdots$, $1990^2$ in some order.
Školjka