Write SQL query to solve given problem: For the state which has the 113 2-year public schools, tell the number of graduated Asian students who seeks another type of degree or certificate at a 2-year institution in 2013.. Keep the solution inside sql tag ```sql [SQL-Query] ```
SELECT COUNT(T2.grad_cohort) FROM state_sector_details AS T1 INNER JOIN state_sector_grads AS T2 ON T2.stateid = T1.stateid WHERE T2.level = '2-year' AND T2.control = 'Public' AND T2.gender = 'B' AND T2.race = 'A' AND T2.cohort = '2y all' AND T1.schools_count = 113