Write SQL/pandas for KPI anomaly

Write SQL (and outline equivalent pandas) for a KPI anomaly investigation. Assume today = '2025-09-01'. Schema: Users(user_id INT, country TEXT, signup_date DATE) Posts(post_id INT, user_id INT, post_type TEXT /* 'friend','page','event' /, created_at DATE) Likes(like_id INT, user_id INT, post_id INT, created_at DATE) FriendRequests(sender_id INT, receiver_id INT, created_at DATE, status TEXT / 'sent','accepted','declined' */) DailyActiveUsers(date DATE, country TEXT, dau INT) Events(date DATE, outage_flag INT) Sample rows: Users user_id | country | signup_date 1 | US | 2025-07-15 2 | US | 2025-08-20 3 | IN | 2025-08-01 4 | BR | 2025-07-01 5 | US | 2025-08-30 Posts post_id | user_id | post_type | created_at 10 | 1 | friend | 2025-08-31 11 | 2 | page | 2025-08-31 12 | 3 | friend | 2025-09-01 13 | 4 | event | 2025-09-01 14 | 2 | friend | 2025-09-01 Likes like_id | user_id | post_id | created_at 100 | 1 | 12 | 2025-09-01 101 | 2 | 10 | 2025-09-01 102 | 3 | 14 | 2025-09-01 103 | 4 | 10 | 2025-08-25 104 | 5 | 12 | 2025-09-01 FriendRequests sender_id | receiver_id | created_at | status 1 | 2 | 2025-08-20 | accepted 2 | 3 | 2025-08-28 | sent 3 | 4 | 2025-08-29 | accepted 2 | 5 | 2025-08-31 | accepted 5 | 1 | 2025-09-01 | sent DailyActiveUsers date | country | dau 2025-08-25 | US | 3 2025-08-25 | IN | 1 2025-08-25 | BR | 1 2025-09-01 | US | 3 2025-09-01 | IN | 1 2025-09-01 | BR | 1 Events date | outage_flag 2025-09-01 | 0 Tasks: (a) For each country and post_type on 2025-09-01, compute Likes-per-DAU and its percent change versus the median of the same weekday over the previous 8 weeks, excluding dates where outage_flag=1. Use window functions (e.g., PERCENTILE_CONT) and ensure users are counted once per day for DAU via DailyActiveUsers. (b) Flag the top 3 countries with the largest declines (≤ −10%) and, for each, attribute the decline between new users (signup_date ≥ '2025-08-02') and existing users. Return country, post_type, pct_change, share_of_decline_from_new_users. (c) For those flagged countries, compute the Friend Request acceptance rate in the last 14 days (2025-08-19 to 2025-09-01) and compare with the prior 14 days. Output the absolute and relative change, using window functions rather than correlated subqueries. (d) Provide a high-level pandas approach (groupby, merge, rolling/expanding, quantile) mirroring your SQL. Edge cases to handle explicitly: users with multiple Likes on the same day, countries with sparse DAU, missing DAU rows, and time zones (assume UTC).