>
> 123
> 456
> 789
>
> the minimal path sum is 1 + 2 +3 + 6 + 9 = 21

Looks like a shortest path problem in a weighted graph. Represent the
numbers as the weights of edges in the graph. Each node will have two
child nodes - one going right and one going down. Once you construct a
graph, apply Dijkstra's algorithm from the starting node.


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