Summary of how mathematicians have been able to reduce the number of maps to check in the Four Color theorem

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I'm doing an essay on the effectiveness of the ability of computers to help prove the Four Color Theorem. I've looked a lot online but I have not found a good resource specifically answering how mathematicians have been able to reduce the number of maps to check. I also don't have any good resources on the actual algorithm Haken-appel has used. If someone can help provide me some resources or just summarize the answers that would be really helpful.