Below is an instruction that describes a task. Write a response that appropriately completes the request.

### Instruction:
What is the lowest first half when the score is larger than 621 and the rank 35?

### Inputs:
table_name: table, columns: ['Rank', 'Archer', '1st Half', '2nd Half', 'Score']

### Response:
SELECT MIN 1st Half FROM table WHERE Score > 621 AND Rank = 35