#10 THE PUZZLE

The grid below is to fill with six numbers (3 vertical and 3 horizontal) from the given list. You can use each number more than once. After completing the puzzle sum up all digits in the grid. This is defined as the score. What is the maximum possible score? 
   THE GRID                  AVAILABLE NUMBERS

     1 2 3       -----------------------------------------
  4  XXXXX       76438 52998 28666 10570 11045 13902 12655
     X X X       48195 03200 63312 70206 64304 76615 57821
  5  XXXXX       90830 40067 62649 78215 82845 09027 04802
     X X X       17182 50221 91337 01209 20420 60789 39543
  6  XXXXX       90073 69130 12295 10068 82985 89398 97264

.............................................................

    Example:     Using the numbers 40067 04802 78215 twice

     40067       4 + 0 + 0 + 6 + 7 +
     0 4 8       0 + 4 + 8 +
     04802       0 + 4 + 8 + 0 + 2 +
     6 0 1       6 + 0 + 1 +
     78215       7 + 8 + 2 + 1 + 5 = 73
The score is 73 (of course other solutions with higher scores are possible ...).

Correct answer: 147

Explanation:

The correct answer uses the numbers 39543 twice and 89398 four times: 
89398 -> 37
9 9 9 -> 27
39543 -> 24
9 4 9 -> 22
89398 -> 37
        ===
        147

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© Andreas Rottler


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