Maximum Element After Decreasing and Rearranging

รถzkan pakdil - Nov 15 '23 - - Dev Community

You are given an array of positive integers arr. Perform some operations (possibly none) on arr so that it satisfies these conditions:

The value of the first element in arr must be 1.
The absolute difference between any 2 adjacent elements must be less than or equal to 1. In other words, abs(arr[i] - arr[i - 1]) <= 1 for each i where 1 <= i < arr.length (0-indexed). abs(x) is the absolute value of x.
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There are 2 types of operations that you can perform any number of times:

Decrease the value of any element of arr to a smaller positive integer.
Rearrange the elements of arr to be in any order.
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Return the maximum possible value of an element in arr after performing the operations to satisfy the conditions.

Example 1:

Input: arr = [2,2,1,2,1]
Output: 2
Explanation:
We can satisfy the conditions by rearranging arr so it becomes [1,2,2,2,1].
The largest element in arr is 2.

class Solution {
    public int maximumElementAfterDecrementingAndRearranging(int[] arr) {
        Arrays.sort(arr);
        arr[0] = 1;

        for(int i = 1; i < arr.length; i++){
            if(arr[i] - arr[i-1] > 1){
                arr[i] = arr[i-1] + 1;
            }
        }
        return arr[arr.length-1];
    }
}
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Reference : https://leetcode.com/problems/maximum-element-after-decreasing-and-rearranging/

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