#### Two-Sum Hashing

The Two-Sum Hashing problem is to find two numbers in an array that add up to a given target number. This can be solved using a hash table, which stores the array elements and their corresponding indices. To find two numbers that add up to the target, we can iterate through the array, and check if the complement (target - array[i]) exists in the hash table. If it does, then we have found our two numbers.

#### Problem

```Given an array of integers, find two numbers that add up to a specific target number.
Example:
Input: [1, 2, 3, 4, 5], target = 9
Output: [4, 5]```

#### Solution

This solution is in Python. Our A.I. can create solutions in multiple languages.
```# Solution:
# The optimal solution is to use a hash table to store the numbers in the array.
# Then, for each number in the array, check if the target minus the number is in the hash table.
# If it is, then we have found the two numbers that add up to the target.
# This solution is optimal because it is O(n) time complexity and O(n) space complexity.

hash_table = {}
for num in array:
hash_table[num] = True
for num in array:
if target - num in hash_table:
return [num, target - num]
return []

print(find_two_numbers_that_add_up_to_target([1, 2, 3, 4, 5], 9))```

A.I. Evaluation of the Solution

The candidate's solution is correct and demonstrates a level of completeness. The solution uses a hash table to store the numbers in the array and then checks if the target minus the number is in the hash table. If it is, then the two numbers that add up to the target are found. This solution is optimal because it is O(n) time complexity and O(n) space complexity.

Evaluated at: 2022-11-06 05:15:28