MathDB

Mad scientist Kyouma writes

N

positive integers on a board. Each second, he chooses two numbers

x, y

written on the board with

x > y

, and writes the number

x^2-y^2

on the board. After some time, he sends the list of all the numbers on the board to Christina. She notices that all the numbers from 1 to 1000 are present on the list. Aid Christina in finding the minimum possible value of N.

Problem Statement