import sys sys.setrecursionlimit(200005) # sys.set_int_max_str_digits(1000005) int1 = lambda x: int(x)-1 pDB = lambda *x: print(*x, end="\n", file=sys.stderr) p2D = lambda x: print(*x, sep="\n", end="\n\n", file=sys.stderr) def II(): return int(sys.stdin.readline()) def LI(): return list(map(int, sys.stdin.readline().split())) def LLI(rows_number): return [LI() for _ in range(rows_number)] def LI1(): return list(map(int1, sys.stdin.readline().split())) def LLI1(rows_number): return [LI1() for _ in range(rows_number)] def SI(): return sys.stdin.readline().rstrip() dij = [(0, 1), (-1, 0), (0, -1), (1, 0)] # dij = [(0, 1), (-1, 0), (0, -1), (1, 0), (1, 1), (1, -1), (-1, 1), (-1, -1)] inf = (1 << 63)-1 md = 10**9+7 # md = 998244353 from collections import defaultdict from bisect import bisect_left class UnionFind: def __init__(self, n): self.table = [-1]*n self.mem = [[u] for u in range(n)] self.cnt = n def root(self, u): stack = [] while self.table[u] >= 0: stack.append(u) u = self.table[u] for v in stack: self.table[v] = u return u def same(self, u, v): return self.root(u) == self.root(v) def merge(self, u, v): u = self.root(u) v = self.root(v) if u == v: return False su = -self.table[u] sv = -self.table[v] if su < sv: u, v = v, u self.table[u] = -su-sv self.table[v] = u self.mem[u] += self.mem[v] self.mem[v].clear() self.cnt -= 1 return True def member(self,u): return self.mem[self.root(u)] # グループの要素数 def size(self, u): return -self.table[self.root(u)] def ConvexHull(xy): def NG(x, y): x0, y0 = res[-2] x1, y1 = res[-1] return (x - x0) * (y1 - y0) - (x1 - x0) * (y - y0) >= 0 res = [] xy.sort() for x, y in xy: while len(res) > 1 and NG(x, y): res.pop() res.append((x, y)) under_n = len(res) for x, y in xy[-2::-1]: while len(res) > under_n and NG(x, y): res.pop() res.append((x, y)) return res[:-1] def RotatingCalipers(xy): def dist(i,j): ix,iy=xy[i] jx, jy = xy[j] return (ix-jx)**2+(iy-jy)**2 def vec(i): x0,y0=xy[i] x1,y1=xy[(i+1)%n] return x1-x0,y1-y0 def outer(i,j): vix,viy=vec(i) vjx,vjy=vec(j) return vix*vjy-viy*vjx n=len(xy) if n<2:return 0 if n==2:return dist(0,1)**0.5 res=0 i=xy.index(min(xy)) j=xy.index(max(xy)) si,sj=i,j while i!=sj or j!=si: res=max(res,dist(i,j)) if outer(i,j)>0:j=(j+1)%n else:i=(i+1)%n return res**0.5 n = II() if n < 2: print(n+1) exit() x2y = defaultdict(list) xy2u={} xy=[] for u in range(n): x, y = LI() x2y[x].append(y) xy2u[x,y]=u xy.append((x,y)) # d2+w2 <= 100 # w<=sqrt(100-d2) pre=[] uf=UnionFind(n) for x in sorted(x2y): x2y[x].sort() for y,q in zip(x2y[x],x2y[x][1:]): if q-y>10:continue uf.merge(xy2u[x,y],xy2u[x,q]) for p in pre[::-1]: d=x-p if d>10:break w=int((100-d**2)**0.5) yy=x2y[p] for y in x2y[x]: l=bisect_left(yy,y-w) u=xy2u[x,y] for q in yy[l:]: if q>y+w:break v=xy2u[p,q] uf.merge(u,v) pre.append(x) ans=2 for uu in uf.mem: if len(uu)<2:continue cur=ConvexHull([xy[u] for u in uu]) ans=max(ans,RotatingCalipers(cur)+2) print(ans)