[LintCode] Minimum Adjustment Cost [Undone]

Problem

Given an integer array, adjust each integers so that the difference of every adjacent integers are not greater than a given number target.

If the array before adjustment is A, the array after adjustment is B, you should minimize the sum of |A[i]-B[i]|

Notice

You can assume each number in the array is a positive integer and not greater than 100.

Example

Given [1,4,2,3] and target = 1, one of the solutions is [2,3,2,3], the adjustment cost is 2 and it's minimal.

Return 2.

Note

Solution

public class Solution {
    public int MinAdjustmentCost(ArrayList<Integer> A, int target) {
        int n = A.size(), res = Integer.MAX_VALUE, max = res;
        int[][] dp = new int[n][101];
        for (int i = 0; i < n; i++) {
            for (int j = 0; j <= 100; j++) {
                dp[i][j] = i == 0 ? Math.abs(j - A.get(i)) : max;
            }
        }
        for (int i = 1; i < n; i++) {
            for (int j = 0; j <= 100; j++) {
                for (int k = j-target; k <= j+target && k <= 100; k++) {
                    if (k >= 0 && dp[i-1][k] < max) dp[i][j] = Math.min(dp[i][j], dp[i-1][k]+Math.abs(j-A.get(i)));
                }
            }
        }
        for (int j = 0; j <= 100; j++) {
            res = Math.min(res, dp[n-1][j]);
        }
        return res;
    }
}



    public int MinAdjustmentCost(ArrayList<Integer> A, int target) {  
        int n = A.size();  
        int max = 0;  
        for (int i = 0; i < n; i++) {  
            max = Math.max(max, A.get(i));  
        }  
        int[][] d = new int[n][max+1];  
        for (int j = 0; j <= max; j++) {  
            d[0][j] = Math.abs(A.get(0) - j);  
        }  
        int curMin = 0;  
        for (int i = 1; i < n; i++) {  
            curMin = Integer.MAX_VALUE;  
            for (int j = 0; j <= max; j++) {  
                d[i][j] = Integer.MAX_VALUE;  
                for (int k = Math.max(0, j-target); k <= Math.min(max, j+target); k++) {  
                    d[i][j] = Math.min(d[i][j], d[i-1][k] + Math.abs(A.get(i)-j));  
                    curMin = Math.min(curMin, d[i][j]);  
                }  
            }  
        }  
        return curMin;  
    }  
}