There is a row of n
houses, where each house can be painted one of 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 an n x 3
cost matrix costs
.
 For example,
costs[0][0]
is the cost of painting house0
with the color red;costs[1][2]
is the cost of painting house 1 with color green, and so on...
Return the minimum cost to paint all houses.
Example 1:
Input: costs = [[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.
Example 2:
Input: costs = [[7,6,2]]
Output: 2
Constraints:
costs.length == n
costs[i].length == 3
1 <= n <= 100
1 <= costs[i][j] <= 20

