# GeetCode Hub

You are given two integer arrays `nums1` and `nums2`. You are tasked to implement a data structure that supports queries of two types:

1. Add a positive integer to an element of a given index in the array `nums2`.
2. Count the number of pairs `(i, j)` such that `nums1[i] + nums2[j]` equals a given value (`0 <= i < nums1.length` and `0 <= j < nums2.length`).

Implement the `FindSumPairs` class:

• `FindSumPairs(int[] nums1, int[] nums2)` Initializes the `FindSumPairs` object with two integer arrays `nums1` and `nums2`.
• `void add(int index, int val)` Adds `val` to `nums2[index]`, i.e., apply `nums2[index] += val`.
• `int count(int tot)` Returns the number of pairs `(i, j)` such that `nums1[i] + nums2[j] == tot`.

Example 1:

```Input
[[[1, 1, 2, 2, 2, 3], [1, 4, 5, 2, 5, 4]], [7], [3, 2], [8], [4], [0, 1], [1, 1], [7]]
Output
[null, 8, null, 2, 1, null, null, 11]

Explanation
FindSumPairs findSumPairs = new FindSumPairs([1, 1, 2, 2, 2, 3], [1, 4, 5, 2, 5, 4]);
findSumPairs.count(7);  // return 8; pairs (2,2), (3,2), (4,2), (2,4), (3,4), (4,4) make 2 + 5 and pairs (5,1), (5,5) make 3 + 4
findSumPairs.add(3, 2); // now nums2 = [1,4,5,4`,5,4`]
findSumPairs.count(8);  // return 2; pairs (5,2), (5,4) make 3 + 5
findSumPairs.count(4);  // return 1; pair (5,0) makes 3 + 1
findSumPairs.add(0, 1); // now nums2 = [`2`,4,5,4`,5,4`]
findSumPairs.add(1, 1); // now nums2 = [`2`,5,5,4`,5,4`]
findSumPairs.count(7);  // return 11; pairs (2,1), (2,2), (2,4), (3,1), (3,2), (3,4), (4,1), (4,2), (4,4) make 2 + 5 and pairs (5,3), (5,5) make 3 + 4
```

Constraints:

• `1 <= nums1.length <= 1000`
• `1 <= nums2.length <= 105`
• `1 <= nums1[i] <= 109`
• `1 <= nums2[i] <= 105`
• `0 <= index < nums2.length`
• `1 <= val <= 105`
• `1 <= tot <= 109`
• At most `1000` calls are made to `add` and `count` each.

class FindSumPairs { public FindSumPairs(int[] nums1, int[] nums2) { } public void add(int index, int val) { } public int count(int tot) { } } /** * Your FindSumPairs object will be instantiated and called as such: * FindSumPairs obj = new FindSumPairs(nums1, nums2); * obj.add(index,val); * int param_2 = obj.count(tot); */