Nothing changes. If something did change, that could[1] mean that information about your solution was being leaked (since this means that different solutions be

Nothing changes. If something did change, that could[1] mean that information about your solution was being leaked (since this means that different solutions behave differently under the ZKP process, which cannot be the case for it to be zero-knowledge). ZKP is about proving you have a solution. If you have many, good for you. [1]: Not always, I think.