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J. Marica and J. Schônhein , using a theorem of M. Hall, Jr. , see below, proved that if any n-1 arbitrarily chosen elements of the diagonal of an nxn array are prescribed, it is possible to complete the array to form an n x n latin square. This result answers affirmatively a special case of a conjecture of T. Evans  , to the effect that an n x n incomplete latin square with at most n-1 places occupied can be completed to an nxn latin square. When the complete diagonal is prescribed,doi:10.4153/cmb-1979-062-3 fatcat:m4sad7lhdnbwnkzgwd2kpvx4ee