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0265 Paint House II.md

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265. Paint House II

https://leetcode-cn.com/problems/paint-house-ii/
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 an n x k cost matrix costs.
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...
Return the minimum cost to paint all houses.

Example 1:
Input: costs = [[1,5,3],[2,9,4]]
Output: 5
Explanation:
Paint house 0 into color 0, paint house 1 into color 2. Minimum cost: 1 + 4 = 5;
Or paint house 0 into color 2, paint house 1 into color 0. Minimum cost: 3 + 2 = 5.

Example 2:
Input: costs = [[1,3],[2,4]]
Output: 5

Constraints:
costs.length == n
costs[i].length == k
1 <= n <= 100
2 <= k <= 20
1 <= costs[i][j] <= 20

Follow up: Could you solve it in O(nk) runtime?

class Solution {
public:
    int minCostII(vector<vector<int>>& costs) {
        int n=costs.size(),k=costs[0].size();
        for(int i=1;i<n;i++){
            int fmin=INT_MAX,fpos=-1, smin=INT_MAX;
            for(int j=0;j<k;j++){
                int now=costs[i-1][j];
                if (now<fmin){
                    smin=fmin;
                    fmin=now;
                    fpos=j;
                }
                else if(now<smin)smin=now;
            }
            for(int j=0;j<k;j++){
                if (j!=fpos) costs[i][j]+=fmin;
                else costs[i][j]+=smin;
            }
        }
        return *min_element(costs[n-1].begin(),costs[n-1].end());
    }
};