Finding the Location of Two Elements with a Sum of 100 in an Array of 3 Elements

In summary, to find the location of two elements with a sum of 100 in an array, a loop can be used to check for pairs of elements that add up to 100. This can be done in both sorted and unsorted arrays, though a sorted array can be searched more efficiently using a binary search algorithm. If there are multiple pairs, only the first encountered will be returned, unless the algorithm is modified to keep track of all pairs. This problem can also be solved using a divide and conquer approach, by recursively searching through smaller subarrays.
  • #1
congo19
1
0
I have an array of 3 known elements.I know that 2 elements of them have the sum of 100 and I need to find the location of the two elements which have this sum
ex.
A[3]
5 25 75
the solution for this prob.
is second & third location

Thanks,
 
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  • #2
In this case, there are only 3 possiblities, A[0] + A[1] or A[0] + A[2] or A[1] + A[2].

For a more generic solution, you could use a double loop to handle an array with N elements. I don't know if this will be a later assignment for your homework.
 

1. How do you find the location of two elements with a sum of 100 in an array of 3 elements?

The location of two elements with a sum of 100 in an array of 3 elements can be found by using a loop to iterate through the array and checking for pairs of elements that add up to 100. Once a pair is found, the index of the elements can be returned as the location.

2. Can the location of two elements with a sum of 100 be found in an unsorted array?

Yes, the location of two elements with a sum of 100 can be found in an unsorted array. However, it may require a more complex algorithm to search for the pair of elements.

3. How can you optimize the search for the location of two elements with a sum of 100?

One way to optimize the search is by sorting the array first and then using a binary search algorithm to find the pair of elements that add up to 100. This would have a time complexity of O(log n) as opposed to the O(n) time complexity of a linear search.

4. What happens if there are multiple pairs of elements with a sum of 100 in the array?

If there are multiple pairs of elements with a sum of 100 in the array, the location of the first pair encountered will be returned. If you want to find all possible pairs, you will need to modify the algorithm to keep track of all pairs found.

5. Can this problem be solved using a divide and conquer approach?

Yes, this problem can be solved using a divide and conquer approach. This would involve splitting the array into smaller subarrays and then recursively searching for pairs of elements that add up to 100 in each subarray. The results from each subarray can then be combined to find the location of the pair in the original array.

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