. /a\ .---. /b\c/d\ .---.---. /e\f/g\h/i\ .---.---.---. |
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Source: Original.
. /1\ .---. /7\6/9\ .---.---. /3\5/8\4/2\ .---.---.---.Louis Elrod (Sum=22) | . /9\ .---. /3\4/1\ .---.---. /7\5/2\6/8\ .---.---.---.Bert Sevenhant (Sum=28) | Adding all three rows is the same as adding 1-9 twice, minus the three side positions. Letting those be 1,2,3 or 7,8,9, and dividing by 3 to get the common sum, we find the sums can only range from 22 through 28. Nick Baxter has theorized that 23 and 27 have no solutions. |
. /2\ .---. /7\5/8\ .---.---. /4\3/9\1/6\ .---.---.---.Nick Baxter | Nick says "[Getting] consecutive sums was more challenging." The sums are 3:(18,19,20), 5:(21,22,23). |
. /8\ .---. /1\6/2\ .---.---. /9\4/3\5/7\ 28 .---.---.---. |
. /3\ .---. /8\5/9\ .---.---. /1\7/6\4/2\ .---.---.---. | . /3\ .---. /9\7/6\ .---.---. /1\4/8\5/2\ .---.---.---. | It's impossible for any of the sums to be smaller than 18, because it would force the b, d, and g positions to be impossibly large. Craig Gentry |