Huo Qubing's forces set off from Dai Prefecture, marched over 1,000 miles and directly engaged the forces of the Xiongnu's Worthy Prince of the East (左賢王, Wise King of the East). The battle was swift and decisive, as the Worthy Prince's forces were no match for Huo's elite cavalry. The Huo's army quickly encircled and overran their enemy, killing 70,443 men and capturing three Xiongnu lords and 83 nobles. Huo Qubing's forces suffered a 20% casualty rate but were quickly resupplied locally from their capture. He then went on to conduct a series of rituals upon arrival at the Khentii Mountains (狼居胥山, and the more northern 姑衍山) in order to symbolize the historic Han victory, then continued his pursuit as far as Lake Baikal (瀚海), effectively annihilating the Xiongnu clan.