Users With Two Purchases Within Seven Days - Problem

Given a table Purchases containing purchase logs, write a SQL query to find all users who made any two purchases at most 7 days apart.

The Purchases table has the following structure:

  • purchase_id: Unique identifier for each purchase
  • user_id: ID of the user making the purchase
  • purchase_date: Date when the purchase was made

Return the result table ordered by user_id.

Table Schema

Purchases
Column Name Type Description
purchase_id PK int Unique identifier for each purchase
user_id int ID of the user making the purchase
user_id int ID of the user making the purchase
purchase_date date Date when the purchase was made
Primary Key: purchase_id
Note: Contains logs of purchase dates from a retailer

Input & Output

Example 1 — Users with qualifying purchase pairs
Input Table:
purchase_id user_id purchase_date
1 1 2023-01-01
2 1 2023-01-05
3 2 2023-01-15
4 3 2023-01-10
5 3 2023-01-20
Output:
user_id
1
💡 Note:

User 1 made purchases on 2023-01-01 and 2023-01-05, which are 4 days apart (≤ 7 days). User 2 has only one purchase. User 3 made purchases 10 days apart (> 7 days), so doesn't qualify.

Example 2 — Multiple qualifying users
Input Table:
purchase_id user_id purchase_date
1 1 2023-01-01
2 1 2023-01-07
3 2 2023-01-10
4 2 2023-01-12
5 3 2023-01-20
Output:
user_id
1
2
💡 Note:

User 1 has purchases exactly 6 days apart (Jan 1 & Jan 7), User 2 has purchases 2 days apart (Jan 10 & Jan 12). User 3 has only one purchase.

Example 3 — No qualifying users
Input Table:
purchase_id user_id purchase_date
1 1 2023-01-01
2 1 2023-01-10
3 2 2023-01-15
Output:
user_id
💡 Note:

User 1's purchases are 9 days apart (> 7 days), and User 2 has only one purchase. No users qualify.

Constraints

  • 1 ≤ purchase_id ≤ 1000
  • 1 ≤ user_id ≤ 1000
  • purchase_date is a valid date

Visualization

Tap to expand
Finding Users With Frequent PurchasesInput: Purchase Logpurchase_iduser_iddate11Jan 121Jan 532Jan 15ANALYZEDATESOutput: Frequent Usersuser_id1Analysis• User 1: Jan 5 - Jan 1 = 4 days ≤ 7 ✓• User 2: Only one purchase ✗Result: Only User 1 qualifies
Understanding the Visualization
1
Input
Purchases table with user purchases and dates
2
Self-Join
Compare different purchases by same user
3
Output
Users with purchases ≤ 7 days apart
Key Takeaway
🎯 Key Insight: Self-join technique efficiently finds related records within the same table by comparing different rows with matching criteria
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