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This technique shows how a nested for loop in some problems can be converted to a single for loop to reduce the time complexity.

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Problem Description: https://www.geeksforgeeks.org/window-...


Let’s start with a problem for illustration where we can apply this technique:

Given an array of integers of size ‘n’.
Our aim is to calculate the maximum sum of ‘k’
consecutive elements in the array.

Input : arr[] = {100, 200, 300, 400}
k = 2
Output : 700

Input : arr[] = {1, 4, 2, 10, 23, 3, 1, 0, 20}
k = 4
Output : 39
We get maximum sum by adding subarray {4, 2, 10, 23}
of size 4.

Input : arr[] = {2, 3}
k = 3
Output : Invalid
There is no subarray of size 3 as size of whole
array is 2. .
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