LeetCode #1070 — MEDIUM

Product Sales Analysis III

Move from brute-force thinking to an efficient approach using core interview patterns strategy.

The Problem

Problem Statement

Table: Sales

+-------------+-------+
| Column Name | Type  |
+-------------+-------+
| sale_id     | int   |
| product_id  | int   |
| year        | int   |
| quantity    | int   |
| price       | int   |
+-------------+-------+
(sale_id, year) is the primary key (combination of columns with unique values) of this table.
Each row records a sale of a product in a given year.
A product may have multiple sales entries in the same year.
Note that the per-unit price.

Write a solution to find all sales that occurred in the first year each product was sold.

For each product_id, identify the earliest year it appears in the Sales table.
Return all sales entries for that product in that year.

Return a table with the following columns: product_id, first_year, quantity, and price.
Return the result in any order.

Example 1:

Input: 
Sales table:
+---------+------------+------+----------+-------+
| sale_id | product_id | year | quantity | price |
+---------+------------+------+----------+-------+ 
| 1       | 100        | 2008 | 10       | 5000  |
| 2       | 100        | 2009 | 12       | 5000  |
| 7       | 200        | 2011 | 15       | 9000  |
+---------+------------+------+----------+-------+

Output: 
+------------+------------+----------+-------+
| product_id | first_year | quantity | price |
+------------+------------+----------+-------+ 
| 100        | 2008       | 10       | 5000  |
| 200        | 2011       | 15       | 9000  |
+------------+------------+----------+-------+

Step 01

Brute Force Baseline

Problem summary: Table: Sales +-------------+-------+ | Column Name | Type | +-------------+-------+ | sale_id | int | | product_id | int | | year | int | | quantity | int | | price | int | +-------------+-------+ (sale_id, year) is the primary key (combination of columns with unique values) of this table. Each row records a sale of a product in a given year. A product may have multiple sales entries in the same year. Note that the per-unit price. Write a solution to find all sales that occurred in the first year each product was sold. For each product_id, identify the earliest year it appears in the Sales table. Return all sales entries for that product in that year. Return a table with the following columns: product_id, first_year, quantity, and price. Return the result in any order.

Baseline thinking

Start with the most direct exhaustive search. That gives a correctness anchor before optimizing.

Pattern signal: General problem-solving

Example 1

{"headers":{"Sales":["sale_id","product_id","year","quantity","price"]},"rows":{"Sales":[[1,100,2008,10,5000],[2,100,2009,12,5000],[7,200,2011,15,9000]]}}

Core Insight

What unlocks the optimal approach

No official hints in dataset. Start from constraints and look for a monotonic or reusable state.

Interview move: turn each hint into an invariant you can check after every iteration/recursion step.

Step 03

Algorithm Walkthrough

Iteration Checklist

Define state (indices, window, stack, map, DP cell, or recursion frame).
Apply one transition step and update the invariant.
Record answer candidate when condition is met.
Continue until all input is consumed.

Use the first example testcase as your mental trace to verify each transition.

Step 04

Edge Cases

Minimum Input

Single element / shortest valid input

Validate boundary behavior before entering the main loop or recursion.

Duplicates & Repeats

Repeated values / repeated states

Decide whether duplicates should be merged, skipped, or counted explicitly.

Extreme Constraints

Upper-end input sizes

Re-check complexity target against constraints to avoid time-limit issues.

Invalid / Corner Shape

Empty collections, zeros, or disconnected structures

Handle special-case structure before the core algorithm path.

Step 05

Full Annotated Code

Source-backed implementations are provided below for direct study and interview prep.

// Accepted solution for LeetCode #1070: Product Sales Analysis III
// Auto-generated Java example from rust.
class Solution {
    public void exampleSolution() {
    }
}
// Reference (rust):
// // Accepted solution for LeetCode #1070: Product Sales Analysis III
// pub fn sql_example() -> &'static str {
//     r#"
// -- Accepted solution for LeetCode #1070: Product Sales Analysis III
// # Write your MySQL query statement below
// SELECT
//     product_id,
//     year AS first_year,
//     quantity,
//     price
// FROM Sales
// WHERE
//     (product_id, year) IN (
//         SELECT
//             product_id,
//             MIN(year) AS year
//         FROM Sales
//         GROUP BY product_id
//     );
// "#
// }

// Accepted solution for LeetCode #1070: Product Sales Analysis III
// Auto-generated Go example from rust.
func exampleSolution() {
}
// Reference (rust):
// // Accepted solution for LeetCode #1070: Product Sales Analysis III
// pub fn sql_example() -> &'static str {
//     r#"
// -- Accepted solution for LeetCode #1070: Product Sales Analysis III
// # Write your MySQL query statement below
// SELECT
//     product_id,
//     year AS first_year,
//     quantity,
//     price
// FROM Sales
// WHERE
//     (product_id, year) IN (
//         SELECT
//             product_id,
//             MIN(year) AS year
//         FROM Sales
//         GROUP BY product_id
//     );
// "#
// }

# Accepted solution for LeetCode #1070: Product Sales Analysis III
# Auto-generated Python example from rust.
def example_solution() -> None:
    return
# Reference (rust):
# // Accepted solution for LeetCode #1070: Product Sales Analysis III
# pub fn sql_example() -> &'static str {
#     r#"
# -- Accepted solution for LeetCode #1070: Product Sales Analysis III
# # Write your MySQL query statement below
# SELECT
#     product_id,
#     year AS first_year,
#     quantity,
#     price
# FROM Sales
# WHERE
#     (product_id, year) IN (
#         SELECT
#             product_id,
#             MIN(year) AS year
#         FROM Sales
#         GROUP BY product_id
#     );
# "#
# }

// Accepted solution for LeetCode #1070: Product Sales Analysis III
pub fn sql_example() -> &'static str {
    r#"
-- Accepted solution for LeetCode #1070: Product Sales Analysis III
# Write your MySQL query statement below
SELECT
    product_id,
    year AS first_year,
    quantity,
    price
FROM Sales
WHERE
    (product_id, year) IN (
        SELECT
            product_id,
            MIN(year) AS year
        FROM Sales
        GROUP BY product_id
    );
"#
}

// Accepted solution for LeetCode #1070: Product Sales Analysis III
// Auto-generated TypeScript example from rust.
function exampleSolution(): void {
}
// Reference (rust):
// // Accepted solution for LeetCode #1070: Product Sales Analysis III
// pub fn sql_example() -> &'static str {
//     r#"
// -- Accepted solution for LeetCode #1070: Product Sales Analysis III
// # Write your MySQL query statement below
// SELECT
//     product_id,
//     year AS first_year,
//     quantity,
//     price
// FROM Sales
// WHERE
//     (product_id, year) IN (
//         SELECT
//             product_id,
//             MIN(year) AS year
//         FROM Sales
//         GROUP BY product_id
//     );
// "#
// }

Step 06

Interactive Study Demo

Use this to step through a reusable interview workflow for this problem.

Custom checkpoints (one per line)

Press Step or Run All to begin.

Step 07

Complexity Analysis

Time

O(n)

Space

O(1)

Approach Breakdown

BRUTE FORCE

O(n²) time

O(1) space

Two nested loops check every pair or subarray. The outer loop fixes a starting point, the inner loop extends or searches. For n elements this gives up to n²/2 operations. No extra space, but the quadratic time is prohibitive for large inputs.

OPTIMIZED

O(n) time

O(1) space

Most array problems have an O(n²) brute force (nested loops) and an O(n) optimal (single pass with clever state tracking). The key is identifying what information to maintain as you scan: a running max, a prefix sum, a hash map of seen values, or two pointers.

Shortcut: If you are using nested loops on an array, there is almost always an O(n) solution. Look for the right auxiliary state.

Coach Notes

Common Mistakes

Review these before coding to avoid predictable interview regressions.

Off-by-one on range boundaries

Wrong move: Loop endpoints miss first/last candidate.

Usually fails on: Fails on minimal arrays and exact-boundary answers.

Fix: Re-derive loops from inclusive/exclusive ranges before coding.