You are given two integer arrays, arr1 and arr2, each of size k. Your task is to return the k largest sum combinations that can be formed by adding one element from arr1 and one element from arr2, for all possible pairs (arr1[i] + arr2[j]), where
Note: The output should be sorted in non-increasing order.
Constraints:
arr1[i], arr2[i]
k
The essence of the solution lies in identifying the top k maximum sum combinations of both input arrays using the top k elements pattern. Instead of generating all possible sum combinations (which would result in a quadratic time complexity), the solution uses a max heap to dynamically compute the largest sum combinations. The solution begins by sorting both input arrays in descending order. This ensures that the largest sums can be calculated by combining elements from the beginning of both arrays. The max heap stores these combinations along with their index pairs, while a visited set is used to prevent processing duplicate index pairs.
The key operation involves extracting the largest sum from the heap and then considering the next two potential sum combinations:
You are given two integer arrays, arr1 and arr2, each of size k. Your task is to return the k largest sum combinations that can be formed by adding one element from arr1 and one element from arr2, for all possible pairs (arr1[i] + arr2[j]), where
Note: The output should be sorted in non-increasing order.
Constraints:
arr1[i], arr2[i]
k
The essence of the solution lies in identifying the top k maximum sum combinations of both input arrays using the top k elements pattern. Instead of generating all possible sum combinations (which would result in a quadratic time complexity), the solution uses a max heap to dynamically compute the largest sum combinations. The solution begins by sorting both input arrays in descending order. This ensures that the largest sums can be calculated by combining elements from the beginning of both arrays. The max heap stores these combinations along with their index pairs, while a visited set is used to prevent processing duplicate index pairs.
The key operation involves extracting the largest sum from the heap and then considering the next two potential sum combinations: