By Rocky Swift and Kevin Buckland TOKYO (Reuters) - Japan's Nikkei share average ended lower on Tuesday, dragged by a stronger yen and profit-taking after the index climbed past the key 44,000 mark earlier in the session. The Nikkei 225 Index surged as much as 1.24% to an unprecedented 44,185.73 before closing 0.4% lower at 43,459.29, snapping a three-day rally. The broader Topix finished the day down 0.5%. Shares started strong, continuing sharp gains from Monday, on prospects for increased government ...