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.
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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