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adding Shortest Subarray to removed to make
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abhishektripathi66 committed Nov 15, 2024
1 parent 3b18722 commit e6bc4bc
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/**
* 1574. Shortest Subarray to be Removed to Make Array Sorted
Solved
Medium
Topics
Companies
Hint
Given an integer array arr, remove a subarray (can be empty) from arr such that the remaining elements in arr are non-decreasing.
Return the length of the shortest subarray to remove.
A subarray is a contiguous subsequence of the array.
Example 1:
Input: arr = [1,2,3,10,4,2,3,5]
Output: 3
Explanation: The shortest subarray we can remove is [10,4,2] of length 3. The remaining elements after that will be [1,2,3,3,5] which are sorted.
Another correct solution is to remove the subarray [3,10,4].
Example 2:
Input: arr = [5,4,3,2,1]
Output: 4
Explanation: Since the array is strictly decreasing, we can only keep a single element. Therefore we need to remove a subarray of length 4, either [5,4,3,2] or [4,3,2,1].
Example 3:
Input: arr = [1,2,3]
Output: 0
Explanation: The array is already non-decreasing. We do not need to remove any elements.
*/

public class ShortestSubarraytobeRemovedtoMakeArraySorted {

public int findLengthOfShortestSubarray(int[] arr) {
int n = arr.length;

// Step 1: Find the longest non-decreasing prefix
int left = 0;
while (left + 1 < n && arr[left] <= arr[left + 1]) {
left++;
}

// If the entire array is already sorted
if (left == n - 1) return 0;

// Step 2: Find the longest non-decreasing suffix
int right = n - 1;
while (right > 0 && arr[right - 1] <= arr[right]) {
right--;
}

// Step 3: Find the minimum length to remove by comparing prefix and suffix
int result = Math.min(n - left - 1, right);

// Step 4: Use two pointers to find the smallest middle part to remove
int i = 0, j = right;
while (i <= left && j < n) {
if (arr[i] <= arr[j]) {
result = Math.min(result, j - i - 1);
i++;
} else {
j++;
}
}

return result;
}
}

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