Introduction

In this blog post, we will explore how to solve the LeetCode problem "1925" using AI. LeetCode is a popular platform for preparing for coding interviews, and with the help of AI tools like Chatmagic, we can generate solutions quickly and efficiently - helping you pass the interviews and get the job offer without having to study for months.

Problem Statement

A square triple (a,b,c) is a triple where a, b, and c are integers and a2 + b2 = c2. Given an integer n, return the number of square triples such that 1 <= a, b, c <= n. Example 1: Input: n = 5 Output: 2 Explanation: The square triples are (3,4,5) and (4,3,5). Example 2: Input: n = 10 Output: 4 Explanation: The square triples are (3,4,5), (4,3,5), (6,8,10), and (8,6,10). Constraints: 1 <= n <= 250

Explanation

Here's a breakdown of the approach, followed by the Python code:

• Iterate and Check: Loop through all possible combinations of a, b, and c within the range 1 to n.
• Square Triple Condition: For each combination, check if a*a + b*b == c*c.

• Count Valid Triples: Increment a counter whenever the condition is met.

• Runtime Complexity: O(n^3). Storage Complexity: O(1).

Code

    def count_triples(n: int) -> int:
    """
    Given an integer n, return the number of square triples such that 1 <= a, b, c <= n.
    A square triple (a,b,c) is a triple where a, b, and c are integers and a2 + b2 = c2.

    For example:
    count_triples(5) == 2
    count_triples(10) == 4
    count_triples(20) == 8
    """
    count = 0
    for a in range(1, n + 1):
        for b in range(1, n + 1):
            for c in range(1, n + 1):
                if a * a + b * b == c * c:
                    count += 1
    return count