The problem involves efficiently adding values and counting pair sums across two arrays by implementing a class called FindSumPairs.
The class uses a frequency map for nums2 to optimize the count operation and handle multiple queries efficiently.
The code implementations in C++, Python, and JavaScript demonstrate the class structure and methods for adding values and counting pair sums.
Key takeaways include keeping nums1 static, using a hash map to track nums2's values, and utilizing hash maps and frequency counters for dynamic problem-solving.