Solve counting and frequency coding tasks

You are given two separate coding tasks. ## Task 1: Count valid “friend requests” You are given an array `ages[]` of integers representing users’ ages. A user of age `A` can send a friend request to a user of age `B` **iff** all conditions hold: - `B <= 0.5 * A + 7` is **false** (i.e., `B` must be strictly greater than `0.5*A + 7`) - `B > A` is **false** (i.e., `B <= A`) - If `B > 100`, then `A >= 100` (i.e., users under 100 cannot request users over 100) Each ordered pair `(i, j)` with `i != j` counts as one request if `ages[i]` can request `ages[j]`. **Output:** return the total number of valid friend requests. **Constraints (typical interview scale):** - `1 <= n <= 2e4` - `1 <= ages[i] <= 120` ## Task 2: Top-N frequent words from a text source You are given an input text source (conceptually a file/stream) containing words separated by whitespace and/or punctuation. **Goal:** return the `N` most frequent words along with their counts. **Requirements/clarifications:** - Define how you tokenize words (e.g., case-insensitive, strip punctuation). - If multiple words have the same frequency, define a deterministic tie-break (e.g., lexicographic order). - The input may be too large to fit into memory as a single string; assume you can read line-by-line. **Input:** a stream of text and an integer `N`. **Output:** a list of up to `N` `(word, count)` pairs sorted by decreasing count (and tie-break rule). **Constraints (typical interview scale):** - Total tokens can be large (e.g., millions) - `1 <= N <= number_of_distinct_words`