Magic Square


Take one 1, two 2s, three 3s, four 4s, five 5s, six 6s, seven 7s, and eight 8s and place them in a 6-by-6 grid, one digit per square, such that each row, column, and major diagonal sums to 34.

Source: Original.
[Taken from "Ken's Puzzle of the Day" April 24, 1995]

The solving methods I've heard so far consist of first filling the rows to reach the right sum, then swapping within rows to meet the diagonals, then swapping to satisfy the columns (without disturbing the diagonals). My one solution (of many that exist, I would think): 
        578671
        845656
        357865
        434887
        687427
        873268
Others who gave me their solutions: 
        844468
        883735
        647872
        756187
        266857
        378655
Lynne Onitsuka 
        833488
        864547
        584665
        177676
        528775
        788623
Becky Fabie-Albert
If you have a different one, please send it and I'll add it to the solutions.
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