Solve matrix add, frequency count, longest consecutive

You are asked to solve the following 3 coding tasks (in any language). Implement each as a function. ## 1) Add two matrices **Input:** Two 2D integer arrays `A` and `B`, each of shape `m x n`. **Task:** Return a new matrix `C` of shape `m x n` where `C[i][j] = A[i][j] + B[i][j]`. **Assumptions:** - `A` and `B` have the same dimensions. **Example:** - `A = [[1,2],[3,4]]`, `B = [[5,6],[7,8]]` → `[[6,8],[10,12]]` --- ## 2) Count occurrences of names **Input:** A list/array of strings `names`. **Task:** Return a dictionary / hash map from name → frequency (count of how many times it appears). **Example:** - `names = ["Amy","Bob","Amy"]` → `{ "Amy": 2, "Bob": 1 }` --- ## 3) Longest consecutive sequence **Input:** An integer array `nums` (can contain duplicates and negative numbers). **Task:** Return the length of the longest sequence of consecutive integers that can be formed from the elements of `nums` (order in the array does not matter). **Complexity requirement:** Aim for **O(n)** time using a hash set (typical “Longest Consecutive Sequence” problem). **Examples:** - `nums = [100,4,200,1,3,2]` → `4` (sequence `1,2,3,4`) - `nums = [0,3,7,2,5,8,4,6,0,1]` → `9` (sequence `0..8`) **Clarifications:** - Duplicates should not inflate the sequence length. - If `nums` is empty, return `0`.