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Converting to NonDecreasing Array with One Change
Given an array of numbers, you need to find out whether an array can be converted to a nondecreasing array where you are allowed to modify the maximum one element in the array.
Nondecreasing array: Array is called nondecreasing array when you traverse array from left to right, each element on the left is less than equal to the element on the right. So for any element at index i, input[i1]<=input[i]<=input[i+1].
Example:
Example 1: Input: [4, 5, 1, 7] Output: true Solution: Change 1 to 6, 5, or 7. Example 2: Input: [10, 5, 2] Output: false Example 3: Input: [1, 2, 1, 5] Output: true Solution: Change 2 to 1. Example 4: Input: [1, 1, 1, 1] Output: true No change required.
Solution:
To convert an array into a nondecreasing array, consider both increasing and decreasing possibilities. Only one element can be modified. Begin by iterating through the array from right to left and count the number of elements that need to be decreased if the left element is greater than the right element. Then, iterate through the array from left to right and determine the number of elements that need to be increased if the right element is less than the left element.
Important: Modify elements just enough to meet the nondecreasing condition, making them equal to their neighboring elements. For example, in the array [1, 2, 1, 5], decrease the element 2 to 1 to satisfy the nondecreasing condition.
By following this approach, you can effectively convert the array into a nondecreasing array.
Time Complexity: O(N)
Output:
true false true true
Reference: leetcode
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