olymmath

JMO 2016

Japan Mathematical Olympiad 2016.

Other problems

Problem 2

For 1≤n≤20161\leq n\leq 2016 , how many integers nn satisfying the condition: the reminder divided by 2020 is smaller than the one divided by 1616 .

Problem 4

There is a 11×1111\times 11 square grid. We divided this in 55 rectangles along unit squares. How many ways that one of the rectangles doesn't have a edge on basic circumference. Note that we count as different ways that one way coincides with another way by rotating or reversing.