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Starting in the bottom left-hand corner, moving to the top right-hand corner, moving either right or up, what is the highest sum you can achieve?

6 3 5 6 6
7 4 6 7 3
3 7 7 4 7
5 6 4 3 4
6 3 3 5 6

[Ref: ZLLJ]

56 = 6 + 5 + 6 + 7 + 7 + 6 + 7 + 6 + 6.

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