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largest square | middle square | $121-a^2-b^2$ | comment |
---|---|---|---|
100 ( = 121 $-$ 21) | 16 | 5 | not square |
9 | 12 | not square | |
81 ( = 121 $-$ 40) | 36 | 4 | yes! |
25 | 15 | no | |
64 | 49 | 8 | no |
36 | 21 | no | |
49 | 36 | 36 | not distinct |
cannot be any smaller |
Only possibility is 81, 36 and 4