• LeetCode 256. Paint House


    原题链接在这里:https://leetcode.com/problems/paint-house/

    题目:

    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.

    题解:

    DP问题. 类似House Robber. red = 当前房子paint red cost + Math.min(之前paint blue的总花费,之前paint green的总花费). blue 和 gree 同理.

    Time Complexity: O(n). Space: O(1).

    AC Java:

     1 public class Solution {
     2     public int minCost(int[][] costs) {
     3         if(costs == null || costs.length == 0){
     4             return 0;
     5         }
     6         int len = costs.length;
     7         int red = 0; //最后print red 时的总共最小cost
     8         int blue = 0;
     9         int green = 0;
    10         for(int i = 0; i<len; i++){
    11             int preRed = red;
    12             int preBlue = blue;
    13             int preGreen = green;
    14             red = costs[i][0] + Math.min(preBlue, preGreen); //当前house选择red, 之前只能在blue 和 green中选
    15             blue = costs[i][1] + Math.min(preRed, preGreen);
    16             green = costs[i][2] + Math.min(preRed, preBlue);
    17         }
    18         return Math.min(red, Math.min(blue, green));
    19     }
    20 }

     跟上Paint House IIPaint Fence.

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  • 原文地址:https://www.cnblogs.com/Dylan-Java-NYC/p/5327630.html
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