The two atomic bombings and a home island invasion undeniably were not the only two options available to end the war. That is what I said was a fact. For examp

The two atomic bombings and a home island invasion undeniably were not the only two options available to end the war. That is what I said was a fact. For example, the U.S. could have continued conventional bombing, or installed a blockade around the home islands, or negotiated a treaty, or any number of military and diplomatic actions not involving the irradiation of two large cities. Japan was at the mercy of the Allies at that point, not the other way around. You can argue that it was the best option available (I strongly disagree), but the atomic bombings or a large scale invasion of the home islands were definitely not the only two options, as frequently claimed by apologists. Also, it is not historically accurate to claim that Japan was not showing interest in surrendering after the first bombing. Even before the first bombing, the cabinet was split between civilian officials who wanted a treaty and hardliners who wanted to continue the war. As I said earlier, Japan was sending out diplomatic feelers to try and negotiate a peace, even if their leadership was divided.