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Problem Eight: 1 to 12

The numbers 182 and 322 can be expressed as the sum of product pairs chosen from the numbers 1 to 12.

182 = 1×12 + 2×11 + 3×10 + 4×9 + 5×8 + 6×7

322 = 1×2 + 3×4 + 5×6 + 7×8 + 9×10 + 11×12

Can the numbers 180, 217, 299, 400 be written the same way?

Solution

One Response to “Problem Eight: 1 to 12”

  1. on 27 Oct 2006 at 9:37 pm tony

    I made a program to figure this out, but then I realized that

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