-The code effectively calculates the maximum number of pairs in an array nums that sum up to the given value $k$ using the two-pointer technique. It first sorts the array in ascending order, which enables efficient pair finding. The two pointers start and end traverse the sorted array, checking pairs. If the sum of elements at these pointers equals $k$, a valid pair is found, and both pointers move inward. If the sum is greater than $k$, end moves left to reduce the sum; if less, start moves right to increase the sum. This approach optimally identifies pairs with a sum of $k$, with a time complexity of $O(n log n)$ due to sorting and $O(n)$ for the two-pointer traversal, making it efficient for large arrays.
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