How was nuclear war avoided?

The nuclear war has been avoided.
The United States took the photograph of Soviet Union and they found some missiles equipment, the United States was scared, the president of the United States "John F. Kennedy" asked for everyone's opinions and suggestions, he doesn't want to start the war, he then decides to take more pictures to see clearer.

The United States has been telling the Soviet Union to remove the missiles and promise that they won't attack Cuba. Soviet Union first agree but then they reject and they thought the United States would start the war. Robert F. Kennedy then go to Soviet Union to try to solve problems. Soviet Union asked them to remove the missiles in Turkey and they will remove the missiles in Cuba. Robert F. Kennedy didn't agree at the first time but then he agrees and told Soviet Union to make the decision tomorrow and they can't public their deal.

They made the deal, right after they talked, Soviet Union wrote a letter and tell them they agree with it, the letter had been sent to the United States immediately, so the war had been avoided.