The correct answer to this open question is the following.
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The things that Khrushchev and Kennedy agreed to that helped relieve tensions after the Cuban missile crisis that signaled to the rest of the world that the two superpowers could get along were to fulfill their agreements to end the crisis. The Soviet Union, to dismantle its missiles from Cuba, and the United States, to fulfill its promise of not invading Cuba and dismantle its missiles from Turkey.
During the Cuban Missile Crisis of 1962, United States President John F. Kennedy and USSR leader Nikita Khrushchev had to be firm and cautious in making their decisions. The world was on the brink of a nuclear war. The US decided to quarantine Cuba. US Navy ships blockade the ships coming to the island to certify that they had no nuclear weapons on them. The USSR threatened t launch the missiles. The negotiations between the government of the United States and the Soviet Union were tense all the time until finally, both presidents reached an agreement.
The two conflicts with cuba in the 1960s were:
When Fidel Castro came to power in 1959, relations between the two countries quickly devolved into bitter arguments, political grandstanding and the occasional international crisis. And while Cuba lies less than 100 miles (160 km) off the coast of Florida, the two nations have had no diplomatic relations since 1961 and use Switzerland as a mediator whenever they need to talk. But maybe — finally — things might change. On April 13 President Barack Obama announced that he would lift some longstanding restrictions, allowing Cuban Americans to visit and send remittances to their families and easing — but not removing — the 47-year-old economic embargo on the island nation. (Read "Will Obama Open Up All U.S. Travel to Cuba?")
But the U.S. and Cuba's ties go back well before Castro. In 1898, at the end of the Spanish-American war, a defeated Spain signed the rights to its territories — including Cuba, Puerto Rico and Guam — over to the U.S., which subsequently granted Cuba its independence with the stipulation that the U.S. could intervene in the country's affairs if necessary (later relinquished) and that it be granted a perpetual lease on its naval base at Guantánamo Bay (not). For the next half-century the two countries more or less cooperated, with the U.S. helping to squash rebellions and heavily investing in the economy of its tiny neighbor. The American mafia used Havana as a conference center in 1946. Ernest Hemingway lived there for 22 years; he wrote The Old Man and the Sea at his villa just outside the capital.
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