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AABBCCDD and Perfect Square (Posted on 2016-05-16) Difficulty: 3 of 5
By adding 1 to the non leading zeros number N= AABBCCDD, we get a perfect square. Find N.
(A, B, C and D are different base ten digits.)

*** AABBCCDD denotes the concatenation of the digits and not their product .

Note: For an extra challenge, solve this puzzle without using a computer program aided method.

No Solution Yet Submitted by K Sengupta    
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Solution | Comment 1 of 3
Using that N=(m+1)*(m-1).
I figured m=abcd and try a little. I dismiss d=1 and d=9 and begin with d=4. I was lucky and came out that

Probably there are smarter ways to arrive there...

Edited on May 16, 2016, 4:49 pm
  Posted by armando on 2016-05-16 16:22:06

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