Leetcode Problem Product of Array Except Self (Java) With Video

// SOLVING THIS WITH AN AI ASSISTANT (2026)

If you are working through this problem with an AI coding assistant — Claude, ChatGPT, Cursor chat, Gemini, GitHub Copilot, Aider, or any agent — the goal isn’t to ask for the answer. It is to use the tool to understand the pattern. The prompt sequence I’d run:

Spec it back to me first. “In your own words, what is this problem actually testing? What’s the smallest example that fails the naive approach?”
Brute-force first, optimize after. “Write the simplest correct solution, even if it’s O(n²). Don’t optimize. Just make it correct, with comments explaining each step.”
Ask for the upgrade. “Now show me the optimal solution. What insight makes it possible? What pattern is this an instance of?”
Stress-test it. “Generate 10 edge cases — empty input, single element, duplicates, max size, sorted, reverse-sorted. Run my solution against each.”

The pattern matters more than the answer. If the agent just hands you optimized code, you’ve trained yourself to lose interviews.

Given an array nums of n integers where n > 1, return an array output such that output[i] is equal to the product of all the elements of nums except nums[i].

Example:

Input:  [1,5,6,4]
Output: [120,24,20,30]

The below solution takes O(N) time complexity and O(N) space complexity

class Solution {
    public int[] productExceptSelf(int[] nums) {
        int[] left = new int[nums.length];
        int[] right = new int[nums.length];
        int[] result= new int[nums.length];
        
        //fill the left array
        int p =1;
        for(int i =0;i<nums.length;i++){
            left[i] = p;
            p = p* nums[i];
        }
        
        //fill right array from the end
        int r =1;
        
        for(int i= nums.length-1;i>=0;i--){
            right[i] = r;
            r= r* nums[i];
        }
        
        for(int i=0;i<nums.length;i++){
            result[i] = left[i] * right[i];
        }
        
        return result;
        
        
    }
}

Here is the video explanation.

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rajendra