Problem Explanation
The task is to find all pairs of integers from a list of n pairs where the sum of the elements in each pair is divisible by a given integer k. The order of pairs in the output should match the order in which they were provided in the input.
Approach
To find and print all pairs of integers from a list where the sum of each pair is divisible by a given integer k, we first read the number of pairs n and the integer k, then store the pairs in a vector. We iterate through each pair, calculate the sum of the two integers, and check if the sum is divisible by k. If it is, we print the pair, ensuring that the output order matches the input order. This approach efficiently processes each pair in O(n) time.
Complexity Analysis
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Time Complexity: The time complexity is O(n), where
nis the number of pairs. This is because the program iterates through each pair once to check if the sum is divisible byk. -
Space Complexity: The space complexity is O(n) due to the storage of the pairs in a vector, or if O(1) if we don’t consider the input storage space.