Since a+b+c+d+e (the sum of a circle) will never equal a+c+e (the sum of a black triangle), she didn't worry about getting the black triangles to equal the sum. Her triangles sums are 32, 34, 35. We do not know if it is possible for the triangles to have consecutive sums.

We do not know if a solution exists for the numbers 1 to 13, excluding the dark triangles.

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