import kotlin.math.abs import kotlin.math.max fun gcd(a:Int, b:Int): Int{ return if(b==0) a else gcd(b, a%b) } fun main(){ val n = readLine()!!.toInt() val points = Array(n){readLine()!!.split(" ").map{it.toInt()}} val f: (Int, Int) -> Pair = { i, j -> var dx = points[j][0]-points[i][0] var dy = points[j][1]-points[i][1] with(gcd(abs(dx), abs(dy))){ dx /= this dy /= this } Pair(dx, dy) } var answer = 0 for(i in 0 until n){ for(j in i+1 until n){ var tmp = 2 val (dx, dy) = f(i, j) for(k in 0 until n){ if(k == i || k == j) continue val (ddx, ddy) = f(i, k) if(ddx==dx && ddy==dy || -ddx==-dx && -ddy==-dy) tmp++ } answer = max(answer, tmp) } } println(answer) }