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Reflection of an Integer
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cepheid
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Sep1-07, 02:17 AM
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so the difference becomes...
10^4 (a-e) + 10^3 (b-d) + 10^2 (c-c) + 10 (d-b) + (e-a)
= (10^4 - 1)(a-e) + (10^3 - 10)(b-d)
= 9999(a-e) + 990(b-d)
I guess that means the answer is divisible by 9. Did I do this right?