Table: Enrollments
+---------------+---------+ | Column Name | Type | +---------------+---------+ | student_id | int | | course_id | int | | grade | int | +---------------+---------+ (student_id, course_id) is the primary key of this table.
Write a SQL query to find the highest grade with its corresponding course for each student. In case of a tie, you should find the course with the smallest course_id. The output must be sorted by increasing student_id.
The query result format is in the following example:
Enrollments table: +------------+-------------------+ | student_id | course_id | grade | +------------+-----------+-------+ | 2 | 2 | 95 | | 2 | 3 | 95 | | 1 | 1 | 90 | | 1 | 2 | 99 | | 3 | 1 | 80 | | 3 | 2 | 75 | | 3 | 3 | 82 | +------------+-----------+-------+ Result table: +------------+-------------------+ | student_id | course_id | grade | +------------+-----------+-------+ | 1 | 2 | 99 | | 2 | 2 | 95 | | 3 | 3 | 82 | +------------+-----------+-------+