 A Supreme Headquarters announcement, a headquarters spokesman, rather, said the American and Allied armies have gotten over the first five or six hurdles in the greatest amphibious assault of all time. The German Transocean News Agency, however, broadcast a statement by a Nazi military spokesman which said that except for the Kahn beachhead, all the invasion troops had been thrown back toward the sea. The spokesman, this is a German, claimed that the Allied beachhead is only 9 to 12 miles wide and about a mile deep.