MathDB
Mix the frog out of it

Source: Iranian second round 2020 day 1 P2

July 14, 2020
algebraInequalityfloor functioninequalities

Problem Statement

let x,y,zx,y,z be positive reals , such that x+y+z=1399x+y+z=1399 find the max⁡([x]y+[y]z+[z]x)\max( [x]y + [y]z + [z]x ) ( [a][a] is the biggest integer not exceeding aa)
Back to ProblemsView on AoPS