I was trying this problem from a journal, which doesn’t have online solution. It was interesting that LLM solved the problem using mod 8 instead of mod 4, even though mod 4 is more intuive and works just the same, also doubled down that mod 4 doesn’t work. Here is the link to the chat: https://chatgpt.com/share/e/699b24b6-1eb4-8004-a685-31624decbd9f