Never liked problem solving through time travel. I hope that's not what happens.
I remember reading a short story when I was a kid about a scientist who labored for months to solve an equation to make his time machine effective, to the ridicule of his peers, who say that he cannot exist twice at the same time. He records all major and minor events even before he succeeds to prove it works, and theorizes that a process called "substitution" will occur where his future mind will replace the past one, leaving everything else intact. He finally succeeds and his theory is correct. He traveled back in time 6 months, knowing everything that will happen, yet finds himself unable to change anything. He can't change his course of action no matter how hard he tries. He finds himself struggling to solve the equation again, making the same mistakes even when he knows the answer. The story ends with him succeeding in solving the equation again, and steps into the time machine once more, to start the last 6 months over again. Endlessly.
I loved that story.