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.

The Atomic Bomb

The bomb cost about $2 billion spent on its development, it killed 100,000 people in Tokyo.
The Atomic bombing was an unwise idea. I'm pretty sure there are so many other ways to solve the problems. The atomic bomb killed thousands and thousands of people, it costs billions of money, it wasted human resources, it destroyed countries and land, it polluted the air and it produces poison gases which make people ill and die.

I think they should just deal with the problems, sign a contract or treaty, and just do what it said, that would've solve more problems, and it won't hurts that many people.