Paint House II
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There are a row of n houses, each house can be painted with one of the k colors. 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 k
cost matrix. For example, costs[0][0]
is the cost of painting house 0 with color 0; costs[1][2]
is the cost of painting house 1 with color 2, and so on... Find the minimum cost to paint all houses.
Note:
All costs are positive integers.
Follow up:
Could you solve it in O(nk) runtime?
思路跟第一题类似,就是找上一层最小或者第二最小的数,如果和自己颜色相同,取另外一个。然后每层跟新原来的数组,跟上次一样。
public class Solution { public int minCostII(int[][] costs) { if(costs == null || costs.length == 0) return 0; int preMin = 0; int preSec = 0; int preIndex = -1; for(int i=0; i<costs.length; i++){ int curMin = Integer.MAX_VALUE; int curSec = Integer.MAX_VALUE; int curIndex = -1; for(int j=0; j<costs[i].length; j++){ costs[i][j] = costs[i][j] + (j == preIndex ? preSec : preMin); if(costs[i][j] < curMin) { curSec = curMin; curMin = costs[i][j]; curIndex = j; } else if(costs[i][j] < curSec){ curSec = costs[i][j]; } } preMin = curMin; preSec = curSec; preIndex = curIndex; } return preMin; }}
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