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A checkerboard has a certain number of coins on it. A robot starts in the upper-left...

A checkerboard has a certain number of coins on it.

A robot starts in the upper-left corner, and walks to the bottom left-hand corner

- The robot can only move in two directions: right and down

- The robot collects coins as it goes

You want to collect all the coins using the minimum number of robots.

A checkerboard has a certain number of coins on it

Do you see a greedy algorithm for doing this?

Does the algorithm guarantee an optimal solution?

Can you prove it?

Can you find a counterexample?

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