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My co-worker presented a number problem to me today. I need to find seven unique digits arranged in an H-shape whose products are the same in each row or column.
I think I might go insane trying to figure this one out. I've been working on it and plugging in numbers like a crazy person. Gaah.
I found it. It actually came to me pretty quickly once I stopped furiously plugging in numbers and thought about the limitations. (Hint: factor each number 0-9.)
ReplyDeleteI wonder how many solutions there are for the triangle variant, where each row shares a digit with both of the others.
That was fun, thanks for the brain teaser. As bawb said, analyzing the factors is key.
ReplyDeleteI didn't read the word "products" and just thought it was the sum of. I came up with a solution for the sum in about 30 seconds. For the next 30 seconds I was excited about how smart I was (because I solved something that someone else couldn't) until I realized my mistake. doh.
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