Maths: one olympiad problem a day

You get one problem near your level each day. A streak of days makes them harder; a missed day resets the streak.

Write your answer and a checker grades it. If it is not right yet, you see what is missing and can try again. A diagram points to the method, and the full solution is there when you want it.

After the solution, write the key idea. It saves itself and completes the day.