Given an integer array, write a program that returns an array with elements = product of the integers in input array except the one in its position. Ex: Given input: [2, 3, 10, 4, 5], output: [600, 400, 120, 300, 240]
What is the complexity of your program? When will your program not work? Below is what I presented (O(n)), but it did not qualify me for the next round.

Question

Given an integer array, write a program that returns an array with elements = product of the integers in input array except the one in its position. Ex: Given input:  [2, 3, 10, 4, 5], output: [600, 400, 120, 300, 240] 
What is the complexity of your program? When will your program not work? Below is what I presented (O(n)), but it did not qualify me for the next round.

Anonym · Accepted Answer

public int product(List input)
{
    int product = 1;
    foreach(int i in input)
    {
        product = product * i;
    }
    return product;
}

public void printOutput(List input)
{
    foreach(int i in input)
        Console.WriteLine(i);
}

public List multiply(List input)
{
    List output = new List{};
   
    int total_product = product(input);
    foreach(int i in input)
    {
        output.Add(total_product/i);
    }
    return output;
}

public void main()
{
    List input = new List{"2","3","10","4","5"};
    printOutput(multiply(input));
        Console.ReadLine();
}

h · Answer

If the pre condition is none zero integer list then I think the answer is correct.

Anonym · Answer

While the above solution does iterate the list twice, that doesn't matter for asymptotic runtime - it's still O(n).

Anonym · Answer

I've seen the same question before but it's usually asked without using a division.
You have to iterate forward once, and then backwards one more time O(2N) => O(N).

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