using System;
using System.Collections;
using System.Collections.Generic;
using System.IO;
using System.Linq;
using System.Numerics;
namespace Tasks;
public class D
{
public static void Main()
{
using var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = true };
Console.SetOut(sw);
Solve();
Console.Out.Flush();
}
public static void Solve()
{
var N = Scanner.Scan<int>();
var V = new (long X, long Y, long Z)[N];
var G = new List<(long X, long Z)>();
long zs = 0;
long got = 0;
for (var i = 0; i < N; i++)
{
var (x, y, z) = Scanner.Scan<long, long, long>();
V[i] = (x, y, z);
zs += z;
var v = (Math.Max(0, y - x) + 1) / 2;
if (v > 0) G.Add((v, z));
else got += z;
}
var req = (zs + 1) / 2;
var dp = new Dictionary<long, long>();
dp[got] = 0;
const long Inf = (long)1e18;
foreach (var (x, z) in G)
{
var ndp = new Dictionary<long, long>(dp);
foreach (var (s, v) in dp)
{
if (!ndp.ContainsKey(s + z)) ndp[s + z] = Inf;
ndp[s + z] = Math.Min(ndp[s + z], v + x);
}
dp = ndp;
}
var answer = dp.Where(x => x.Key >= req).Min(x => x.Value);
Console.WriteLine(answer);
}
public static class Scanner
{
public static T Scan<T>() where T : IConvertible => Convert<T>(ScanStringArray()[0]);
public static (T1, T2) Scan<T1, T2>() where T1 : IConvertible where T2 : IConvertible
{
var input = ScanStringArray();
return (Convert<T1>(input[0]), Convert<T2>(input[1]));
}
public static (T1, T2, T3) Scan<T1, T2, T3>() where T1 : IConvertible where T2 : IConvertible where T3 : IConvertible
{
var input = ScanStringArray();
return (Convert<T1>(input[0]), Convert<T2>(input[1]), Convert<T3>(input[2]));
}
public static (T1, T2, T3, T4) Scan<T1, T2, T3, T4>() where T1 : IConvertible where T2 : IConvertible where T3 : IConvertible where T4 : IConvertible
{
var input = ScanStringArray();
return (Convert<T1>(input[0]), Convert<T2>(input[1]), Convert<T3>(input[2]), Convert<T4>(input[3]));
}
public static (T1, T2, T3, T4, T5) Scan<T1, T2, T3, T4, T5>() where T1 : IConvertible where T2 : IConvertible where T3 : IConvertible where T4 : IConvertible where T5 : IConvertible
{
var input = ScanStringArray();
return (Convert<T1>(input[0]), Convert<T2>(input[1]), Convert<T3>(input[2]), Convert<T4>(input[3]), Convert<T5>(input[4]));
}
public static (T1, T2, T3, T4, T5, T6) Scan<T1, T2, T3, T4, T5, T6>() where T1 : IConvertible where T2 : IConvertible where T3 : IConvertible where T4 : IConvertible where T5 : IConvertible where T6 : IConvertible
{
var input = ScanStringArray();
return (Convert<T1>(input[0]), Convert<T2>(input[1]), Convert<T3>(input[2]), Convert<T4>(input[3]), Convert<T5>(input[4]), Convert<T6>(input[5]));
}
public static IEnumerable<T> ScanEnumerable<T>() where T : IConvertible => ScanStringArray().Select(Convert<T>);
private static string[] ScanStringArray()
{
var line = Console.ReadLine()?.Trim() ?? string.Empty;
return string.IsNullOrEmpty(line) ? Array.Empty<string>() : line.Split(' ');
}
private static T Convert<T>(string value) where T : IConvertible => (T)System.Convert.ChangeType(value, typeof(T));
}
}