Which of the following would have been more costly for the Western Allies (the United States, the United Kingdom, etc.) in terms of blood and treasure that would have been spent: Operation Unthinkable (that is, a war with the USSR launched almost immediately after the defeat of Nazi Germany, with the goal of pushing Soviet forces out of Germany, Poland, and much of the rest of Central and Eastern Europe) or Operation Downfall (an invasion of the Japanese Home Islands in a world where the atomic bombings of Hiroshima and Nagasaki had not triggered that country's surrender)?