Smallest Range II

Given an array A of integers, for each integer A[i] we need to choose either x = -K or x = K, and add x to A[i] (only once).

After this process, we have some array B.

Return the smallest possible difference between the maximum value of B and the minimum value of B.

    Example 1: 

    Input: A = [1], K = 0
Output: 0
Explanation: B = [1]

    Example 2: 

    Input: A = [0,10], K = 2
Output: 6
Explanation: B = [2,8]

    Example 3: 

    Input: A = [1,3,6], K = 3
Output: 3
Explanation: B = [4,6,3]

    Note:

    1. 1 <= A.length <= 10000
    2. 0 <= A[i] <= 10000
    3. 0 <= K <= 10000
    Solution:

    class Solution {
        public int smallestRangeII(int[] A, int K) {
            int i, min=0, max=0, min1, min2, max1, max2, length = A.length, diff=0;
            Arrays.sort(A);
            diff = A[length-1]-A[0];
            int result = Integer.MAX_VALUE;
            
                min1 = A[0]+K;
                max1 = A[length-1]-K;
            
            for(i=1;i<length;i++){
                min2 = A[i]-K;
                max2 = A[i-1]+K;
                min = Math.min(min1, min2);
                max = Math.max(max1, max2);
                result = Math.min(result, max-min);
            }
            return Math.min(diff, result);
        }
    }


    1) Initially sort the array, so that we can find one of the best difference between min value and max value in the given array.(i.e., diff variable in above code)
    2) min1 is a variable which holds smallest value from a given array and also along with the addition of K.
    3) max1 is a variable which holds largest value from a given array and also along with the subtraction of K.
    4) min2 and max2 variables change accordingly based on iteration. min2 checks min value for current i'th position value. max2 checks max value for previous i'th position value. So, for each value in a array we check for both +K and -K value.
    5) Find min value from min1 and min2
    6) Find max value from max1 and max2.
    7) Find min from result and max,min difference and store it in result.
    8) Finally, return min among result and diff.

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