Problem 17: Minimum cost of painting N houses up to K different colors.[Facebook]
Minimization, Matrix Traversal, Cost Calculations
Problem
This problem was asked by Facebook.
A builder is looking to build a row of N houses that can be of K different colors. He has a goal of minimizing cost while ensuring that no two neighboring houses are of the same color.
Given an N by K matrix where the nth row and kth column represents the cost to build the nth house with kth color, return the minimum cost which achieves this goal.
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