How was nuclear war avoided??

How was nuclear war avoided?

Cuba missile crisis is a event which cause a great public nervous, cause it was really close to a nuclear war between US and the Soviet Union. In this nervous situation, how can these two countries avoid the war happened?
In my opinion this war can be avoid is because of the clam and the communication between the two countries. When US found out there was missiles in Cuba if they just use force to make Soviet Union remove the missiles there might be a war, but the US use calm to face this problem, the discussed this problem and try to find out a way which can solve this problem peacefully. Then they went on the next step, the communicate with the Soviet Union, they didn’t stand still and tell Soviet Union to remove the missiles with no requite, they try to make deal with Soviet Union in order to end this problem.
After all the reason how the nuclear war was avoided is because they solve this problem calmly and they communicate with others, otherwise the nuclear war might really happened.