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Translated from Matematicheskie Zametki, Vol. 37, No. 6, pp. 901–907, June, 1985.
In conclusion, I express my gratitude to V. V. Proizvolov for stating the problem.
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Pokrovskii, V.G. Linear relations in dissections into n-dimensional parallelepipeds. Mathematical Notes of the Academy of Sciences of the USSR 37, 493–496 (1985). https://doi.org/10.1007/BF01157688
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DOI: https://doi.org/10.1007/BF01157688