No. XXXVII.
Taking the letters as arranged on this diagram for a starting point, can you place in some of the unoccupied cells five more of A, five of E, five of I, and five of O, making eight in all of each letter, so that in no case shall the same vowel be in the same row, column, or diagonal?
| A | I | E | O | ||||
| O | A | ||||||
| I | E | ||||||
| E | O | A | I | ||||
Each vowel is to be regarded without any reference to the other vowels, and, of course, only one may be placed in a cell.