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256. Paint House #250

Open huimeich opened 5 years ago

huimeich commented 5 years ago

There are a row of n houses, each house can be painted with one of the three colors: red, blue or green. The cost of painting each house with a certain color is different. You have to paint all the houses such that no two adjacent houses have the same color.

The cost of painting each house with a certain color is represented by a n x 3 cost matrix. For example, costs[0][0] is the cost of painting house 0 with color red; costs[1][2] is the cost of painting house 1 with color green, and so on... Find the minimum cost to paint all houses.

Note: All costs are positive integers.

Example:

Input: [[17,2,17],[16,16,5],[14,3,19]] Output: 10 Explanation: Paint house 0 into blue, paint house 1 into green, paint house 2 into blue. Minimum cost: 2 + 5 + 3 = 10.

huimeich commented 5 years ago
def minCost(self, costs: List[List[int]]) -> int:
    dp = [[0 for j in costs[0]] for i in costs]
    for i in range(len(costs)):
        for j in range(len(costs[0])):
            dp[i][j] = costs[i][j] + min([dp[i - 1][k] for k in range(len(costs[0])) if k != j]) if i > 0 else costs[i][j]
    return min(dp[-1]) if costs else 0