Find the Missing IDs - Problem

Given a Customers table with customer IDs and names, find all missing customer IDs within the range from 1 to the maximum customer ID present in the table.

The missing IDs are those that don't exist in the Customers table but fall within the continuous range starting from 1.

Requirements:

  • Find all missing customer IDs in the range [1, max_customer_id]
  • Return results ordered by ID in ascending order
  • Maximum customer_id will not exceed 100

Table Schema

Customers
Column Name Type Description
customer_id PK int Unique customer identifier
customer_name varchar Name of the customer
Primary Key: customer_id
Note: Each row contains a unique customer with their ID and name

Input & Output

Example 1 — Basic Missing IDs
Input Table:
customer_id customer_name
1 Alice
3 Bob
6 Charlie
7 David
Output:
ids
2
4
5
💡 Note:

The maximum customer_id is 7, so we check the range [1, 7]. IDs 1, 3, 6, and 7 exist in the table, so the missing IDs are 2, 4, and 5.

Example 2 — Consecutive IDs
Input Table:
customer_id customer_name
1 Alice
2 Bob
3 Charlie
Output:
ids
💡 Note:

All IDs from 1 to 3 are present consecutively, so there are no missing IDs in the range.

Example 3 — Single Customer
Input Table:
customer_id customer_name
5 Alice
Output:
ids
1
2
3
4
💡 Note:

With only customer_id 5 present, IDs 1, 2, 3, and 4 are missing from the range [1, 5].

Constraints

  • 1 ≤ customer_id ≤ 100
  • customer_name is a non-empty varchar
  • All customer_id values are unique

Visualization

Tap to expand
Find Missing IDs: Gap Detection ProblemInput: Customers Tablecustomer_idcustomer_name1Alice2MISSING3Bob4MISSING5MISSING6Charlie7DavidGenerateSequenceOutput: Missing IDsids245Strategy: Generate complete sequence [1, MAX(id)], then find gaps
Understanding the Visualization
1
Input
Customers table with gaps in IDs
2
Generate
Create complete sequence 1 to max_id
3
Compare
Find sequence numbers not in original table
Key Takeaway
🎯 Key Insight: Use recursive CTEs to generate sequences and set operations to find missing elements in ranges
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