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.
有N排房子,每栋房子都可以涂上三种颜色中的一种:红色、蓝色或绿色。用某种颜色粉刷每栋房子的费用是不同的。你必须把所有的房子都漆成没有两个相邻的房子有相同的颜色。
用一个n x 3的成本矩阵表示每栋房子涂上某种颜色的成本。例如, costs[0][0
是用红色粉刷房子0的成本;costs[1][2]是用绿色粉刷房子1的成本,等等……找出油漆所有房屋的最低成本。
注:
所有成本costs都是正整数。
1 class Solution { 2 func minCost(_ costs:[[Int]]) -> Int{ 3 if costs.isEmpty || costs[0].isEmpty 4 { 5 return 0 6 } 7 var dp:[[Int]] = costs 8 for i in 1..<dp.count 9 { 10 for j in 0..<3 11 { 12 dp[i][j] += min(dp[i - 1][(j + 1) % 3],dp[i - 1][(j + 2) % 3]) 13 } 14 } 15 return min(min(dp.last![0],dp.last![1]),dp.last![2]) 16 } 17 }
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