user: ### NOW ANSWER:
Question: What is the lowest first half when the score is larger than 621 and the rank 35?
Columns: ['Rank', 'Archer', '1st Half', '2nd Half', 'Score']
Types: ['real', 'text', 'real', 'real', 'real']
Sample row: [1.0, 'Park Sung-Hyun ( KOR )', 336.0, 337.0, 673.0]
SQL:

assistant: SELECT MIN("1st Half") FROM "Table" WHERE "Score" > 621.0 AND "Rank" = 35.0;