Calculate a 2-day moving average of sales amounts.
Problem Statement
Examples
Input: sales table: +------------+--------+ | sale_date | amount | +------------+--------+ | 2024-01-01 | 100 | | 2024-01-02 | 200 | | 2024-01-03 | 150 | | 2024-01-04 | 300 | | 2024-01-05 | 250 | +------------+--------+
Output: +--------------------------+--------+----------------------+ | sale_date | amount | moving_avg | +--------------------------+--------+----------------------+ | 2024-01-01T00:00:00.000Z | 100 | 100.0000000000000000 | | 2024-01-02T00:00:00.000Z | 200 | 150.0000000000000000 | | 2024-01-03T00:00:00.000Z | 150 | 175.0000000000000000 | | 2024-01-04T00:00:00.000Z | 300 | 225.0000000000000000 | | 2024-01-05T00:00:00.000Z | 250 | 275.0000000000000000 | +--------------------------+--------+----------------------+
Explanation: The records are grouped by category and the aggregate calculation is applied to produce the summary result.
Complexity
Time Complexity: -
Space Complexity: -
Hints
Editorial & Approach
Problem Overview & Intuition
To solve "Moving Average (Window Frame)", we query the relational database engine using declarative SQL. The goal is to calculate a 2-day moving average of sales amounts. By formulating an optimal execution plan with appropriate projection and filtering, the database engine executes the query with minimal overhead.
Step-by-Step Approach
- Analyze Schema: Identify the target tables, necessary foreign keys, and expected output columns.
- Construct Filtering & Logic: Apply row projections to isolate the requested data.
- Format & Order: Sort the resulting records according to specified order criteria.
Optimal Implementation (SQL)
SELECT sale_date, amount, AVG(amount) OVER (ORDER BY sale_date ROWS BETWEEN 1 PRECEDING AND CURRENT ROW) AS moving_avg FROM sales;
Complexity Analysis
Key Considerations & Edge Cases
- Empty Tables: The query executes safely returning zero rows without syntax error.
- NULL Values: Columns containing NULL values are properly handled by standard ANSI SQL semantics.
- Case Sensitivity: String comparisons and keywords adhere to PostgreSQL/standard SQL rules.