MathDB
2017 Guts #26

Source:

November 25, 2022
2017Guts Round

Problem Statement

A lattice point is a coordinate pair (a,b)(a,b) where both a,ba,b are integers. What is the number of lattice points (x,y)(x,y) that satisfy x22017+2y22017<1\tfrac{x^2}{2017}+\tfrac{2y^2}{2017}<1 and y2x(mod7)y\equiv2x\pmod{7}?
Let CC be the actual answer, AA be the answer you submit, and D=ACD=|A-C|. Your score will be rounded up from max(0,25eD/100)\max(0,25-e^{D/100}).