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Suppose a,ba,ba,b, and ccc are positive integers such that a+b+c+ab+bc+ca+abc=1000.a+b+c+ab+bc+ca+abc=1000.a+b+c+ab+bc+ca+abc=1000. Find a+b+ca+b+ca+b+c.
This problem is posed by Vishnoo P.
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