What strategy did the Allies use to defeat Japan?

My history class just went over this last week
:)

Since naval confrontation with Japanese war ships proved to be too
costly for the US and its allies, they eventually resorted with aerial assults on enemy
ships. Ofcourse, the Japanese had their kamikaze planes to take out destroyers or
aircraft carriers. It was primarily that reason the campaign in the Pacific led to
mostly bombing Japanese ships while US destroyers would go after Japanese
subs.

In 1946, when Truman came into office, even he wasn't
aware of the atomic bombs production nor was he sure they would even work. But in his
decision to end the war, he gave the go ahead to bomb Hiroshima and Nagasaki. Air strike
was the way to go since the Japanese had bigger and better guns than the
Allies.