import sys import math import bisect from heapq import heapify, heappop, heappush from collections import deque, defaultdict, Counter from functools import lru_cache from itertools import accumulate, combinations, permutations, product sys.setrecursionlimit(1000000) MOD = 10 ** 9 + 7 MOD99 = 998244353 input = lambda: sys.stdin.readline().strip() NI = lambda: int(input()) NMI = lambda: map(int, input().split()) NLI = lambda: list(NMI()) SI = lambda: input() SMI = lambda: input().split() SLI = lambda: list(SMI()) EI = lambda m: [NLI() for _ in range(m)] from collections import deque class ConvexHullTrick(): """ 追加する直線の傾きが単調減少、計算する x 座標が単調増加するときに、 直線(y = ai*x + bi)の追加とmin_i f(x)を計算 O(N+Q) """ def __init__(self): self.deq = deque() def check(self, f1, f2, f3): return (f2[0] - f1[0]) * (f3[1] - f2[1]) >= (f2[1] - f1[1]) * (f3[0] - f2[0]) def f(self, f1, x): return f1[0] * x + f1[1] # add f_i(x)=a*x+b def add_line(self, a, b): f1 = (a, b) while len(self.deq) >= 2 and self.check(self.deq[-2], self.deq[-1], f1): self.deq.pop() self.deq.append(f1) # min f_i(x) def query(self, x): while len(self.deq) >= 2 and self.f(self.deq[0], x) >= self.f(self.deq[1], x): self.deq.popleft() return self.f(self.deq[0], x) def main(): N = NI() AB = EI(N) X = set() for i in range(N): for j in range(i+1, N): ai, bi = AB[i] aj, bj = AB[j] if bi == bj: continue # ai-aj + (bi-bj)x = 0 x = (aj-ai) // (bi-bj) X.add(x-1) X.add(x) X.add(x+1) X = sorted(list(X)) CHTmax = ConvexHullTrick() CHTmin = ConvexHullTrick() AB.sort(key=lambda x: -x[1]) for a, b in AB: CHTmin.add_line(b, a) AB.sort(key=lambda x: x[1]) for a, b in AB: CHTmax.add_line(-b, -a) m = 10**20 ans = 1 for x in X: if x <= 0: continue res = -CHTmax.query(x) - CHTmin.query(x) if res < m: ans = x m = min(m, res) print(ans) if __name__ == "__main__": main()