using System; using System.Linq; using System.Text.RegularExpressions; using System.Collections.Generic; using Debug = System.Diagnostics.Debug; using StringBuilder = System.Text.StringBuilder; using System.Numerics; namespace Program { public class Solver { public void Solve() { var n = sc.Integer(); var a = new int[n]; var b = new long[n]; for (int i = 0; i < n; i++) { b[i] = sc.Integer(); a[i] = sc.Integer(); } var y = (long)Algorithm.GoldenSectionSearch(1.0, 1000000000000000000, x => { var max = double.MinValue; var min = double.MaxValue; for (int i = 0; i < n; i++) { max = Math.Max(a[i] * x + b[i], max); min = Math.Min(a[i] * x + b[i], min); } return (double)(max - min); }); var y2 = (long)Algorithm.GoldenSectionSearch(1.0, y, x => { var max = double.MinValue; var min = double.MaxValue; for (int i = 0; i < n; i++) { max = Math.Max(a[i] * x + b[i], max); min = Math.Min(a[i] * x + b[i], min); } return (double)(max - min); }); var ans = long.MaxValue; long ansX = 1; { var max = long.MinValue; var min = long.MaxValue; for (int i = 0; i < n; i++) { max = Math.Max(a[i] * 1 + b[i], max); min = Math.Min(a[i] * 1 + b[i], min); } ans = max - min; } for (int j = -50000; j < 50000; j++) { var x = j + y; if (x < 1) continue; var max = long.MinValue; var min = long.MaxValue; for (int i = 0; i < n; i++) { max = Math.Max(a[i] * x + b[i], max); min = Math.Min(a[i] * x + b[i], min); } if (ans > max - min) { ans = max - min; ansX = x; } else if (ans == max - min && ansX > x) { ansX = x; } } for (int j = -50000; j < 50000; j++) { var x = j + y2; if (x < 1) continue; var max = long.MinValue; var min = long.MaxValue; for (int i = 0; i < n; i++) { max = Math.Max(a[i] * x + b[i], max); min = Math.Min(a[i] * x + b[i], min); } if (ans > max - min) { ans = max - min; ansX = x; } else if (ans == max - min && ansX > x) { ansX = x; } } IO.Printer.Out.WriteLine(ansX); } public IO.StreamScanner sc; static T[] Enumerate(int n, Func f) { var a = new T[n]; for (int i = 0; i < n; ++i) a[i] = f(i); return a; } } } #region Ex namespace Program.IO { using System.IO; using System.Text; using System.Globalization; public class Printer : StreamWriter { static Printer() { Out = new Printer(Console.OpenStandardOutput()) { AutoFlush = false }; } public static Printer Out { get; set; } public override IFormatProvider FormatProvider { get { return CultureInfo.InvariantCulture; } } public Printer(System.IO.Stream stream) : base(stream, new UTF8Encoding(false, true)) { } public Printer(System.IO.Stream stream, Encoding encoding) : base(stream, encoding) { } public void Write(string format, IEnumerable source) { base.Write(format, source.OfType().ToArray()); } public void WriteLine(string format, IEnumerable source) { base.WriteLine(format, source.OfType().ToArray()); } } public class StreamScanner { public StreamScanner(Stream stream) { str = stream; } public readonly Stream str; private readonly byte[] buf = new byte[1024]; private int len, ptr; public bool isEof = false; public bool IsEndOfStream { get { return isEof; } } private byte read() { if (isEof) return 0; if (ptr >= len) { ptr = 0; if ((len = str.Read(buf, 0, 1024)) <= 0) { isEof = true; return 0; } } return buf[ptr++]; } public char Char() { byte b = 0; do b = read(); while (b < 33 || 126 < b); return (char)b; } public string Scan() { var sb = new StringBuilder(); for (var b = Char(); b >= 33 && b <= 126; b = (char)read()) sb.Append(b); return sb.ToString(); } public long Long() { if (isEof) return long.MinValue; long ret = 0; byte b = 0; var ng = false; do b = read(); while (b != '-' && (b < '0' || '9' < b)); if (b == '-') { ng = true; b = read(); } for (; true; b = read()) { if (b < '0' || '9' < b) return ng ? -ret : ret; else ret = ret * 10 + b - '0'; } } public int Integer() { return (isEof) ? int.MinValue : (int)Long(); } public double Double() { return double.Parse(Scan(), CultureInfo.InvariantCulture); } private T[] enumerate(int n, Func f) { var a = new T[n]; for (int i = 0; i < n; ++i) a[i] = f(); return a; } public char[] Char(int n) { return enumerate(n, Char); } public string[] Scan(int n) { return enumerate(n, Scan); } public double[] Double(int n) { return enumerate(n, Double); } public int[] Integer(int n) { return enumerate(n, Integer); } public long[] Long(int n) { return enumerate(n, Long); } } } static class Ex { static public string AsString(this IEnumerable ie) { return new string(System.Linq.Enumerable.ToArray(ie)); } static public string AsJoinedString(this IEnumerable ie, string st = " ") { return string.Join(st, ie); } static public void Main() { var solver = new Program.Solver(); solver.sc = new Program.IO.StreamScanner(Console.OpenStandardInput()); solver.Solve(); Program.IO.Printer.Out.Flush(); } } #endregion #region GoldenSectionSearch static public partial class Algorithm { static public double GoldenSectionSearch(double a, double b, Func function) { var r = 2 / (3 + Math.Sqrt(5)); var c = a + r * (b - a); var d = b - r * (b - a); var fc = function(c); var fd = function(d); for (int i = 0; i < 1000; i++) { //if (fc < fd)//凸 if (fc > fd)//凹 { a = c; c = d; d = b - r * (b - a); fc = fd; fd = function(d); } else { b = d; d = c; c = a + r * (b - a); fd = fc; fc = function(c); } } return c; } } #endregion