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INMO 2015

Show that from a set of 11 square integers one can select six numbers a^2,b^2,c^2,d^2,e^2,f^2 such that a^2+b^2+c^2 \equiv d^2+e^2+f^2 (mod 12)

Note by Nitish Deshpande
2 years, 3 months ago