What was the minimal amount ($) of the 1st prize in the tournaments in New Mexico?
CREATE TABLE table_11622562_1 (
    location VARCHAR
)
SELECT MIN(1 AS st_prize__) AS $__ FROM table_11622562_1 WHERE location = "New Mexico"
Below are sql tables schemas paired with instruction that describes a task. Using valid SQLite, write a response that appropriately completes the request for the provided tables. ### Instruction: What was the minimal amount ($) of the 1st prize in the tournaments in New Mexico? ### Input: CREATE TABLE table_11622562_1 (
    location VARCHAR
) ### Response: SELECT MIN(1 AS st_prize__) AS $__ FROM table_11622562_1 WHERE location = "New Mexico"