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Data Structures for Coding Interviews in C#

Solution Review: Big (O) of Nested Loop with Subtraction

Explore how to analyze the time complexity of nested loops by examining each statement's execution frequency in C#. Learn to calculate running time and simplify to Big O notation, focusing on O(n squared) complexity.

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Solution

C#
namespace Chapter_1
{
    class Challenge2
    {
        static void Main(string[] args)
        {
            int n = 10;   
            int sum = 0;
            float pie = 3.14f;
            for (int i = n; i >= 1; i -= 3) // O(n/3)
            {
                Console.WriteLine(pie); // O(n/3)
                for (int j = n; j >= 0; j--)  // O((n/3)*(n+1))
                {
                    sum += 1;   // O((n/3)*(n+1))
                }
            }
            Console.WriteLine(sum);
            return;
        }
    }
}

On line 10 in the outer loop, int i=n; runs once. i>=1; gets executed n3+1 ...