the preceding island-hopping campaigns, American commanders estimated that between 50,000 and 500,000 U.S. troops would die and at least 600,000–1,000,000 others would be injured while invading the Japanese home islands. The U.S. manufacture of 500,000 Purple Hearts from the anticipated high level of casualties during the U.S. invasion of Japan gave a demonstration of how deadly and costly it would be. President Harry S. Truman realized he could not afford such a horrendous casualty rate, especially since over 400,000 American combatants had already died fighting in both the European and the Pacific theaters of the war. On July 26, 1945, the United States, the United Kingdom, and the Republic of China issued a Potsdam Declaration that called for the unconditional surrender of Japan. It stated that if Japan did not surrender, it would face "prompt and utter destruction". The Japanese government ignored this ultimatum, sending a message that they were not going to surrender. In response to the rejection, President Truman authorized the dropping of the atomic bombs. At the time of its use, there were only two atomic bombs available, and despite the fact that more were in production back in mainland U.S., the third bomb wouldn't be available for combat until September. On August 6, 1945, the uranium-type nuclear weapon codenamed "Little Boy" was detonated over the Japanese city of Hiroshima with an energy of about , destroying nearly 50,000 buildings (including the headquarters of the 2nd General Army and Fifth Division) and killing approximately 70,000 people, including 20,000 Japanese combatants and 20,000 Korean slave laborers. Three days later, on August 9, a plutonium-type nuclear weapon codenamed "Fat Man" was used against the Japanese city of Nagasaki, with the explosion equivalent to about , destroying 60% of the city and killing approximately 35,000 people, including 23,200–28,200 Japanese munitions workers, 2,000 Korean slave laborers, and 150 Japanese combatants. The industrial damage in Nagasaki was high, partly owing to the inadvertent targeting of the industrial zone, leaving 68–80 percent of the non-dock industrial production destroyed. Six days after the detonation over Nagasaki, Japan announced its surrender to the Allied Powers on August 15, 1945, signing the Instrument of Surrender on September 2, 1945, officially ending the Pacific War and, therefore, World War II, as Germany had already signed its Instrument of Surrender on May 8, 1945, ending the war in Europe. The two atomic bombings led, in part, to post-war