#nullable enable

using System.Numerics;

void Run()
{
    var n = Int();
    var m = n * 2;
    var pz = new (bool, int)[m];
    var ans = 0L;
    for (var i = 0; i < m; i++)
    {
        var p = String() == "(";
        var lv = Int();
        var rv = Int();
        int d;
        if (p)
        {
            ans += lv;
            d = Math.Max(0, rv - lv);
        }
        else
        {
            ans += rv;
            d = Math.Max(0, lv - rv);
        }
        pz[i] = (p, d);
    }
    var selected = new bool[m];
    var (le, re) = (0, 0);
    for (var i = m - 1; i >= 0; i--)
    {
        var (p, _) = pz[i];
        if (p)
        {
            if (le > 0)
            {
                selected[i] = true;
                le--;
            }
            else re++;
        }
        else
        {
            if (re > 0)
            {
                selected[i] = true;
                re--;
            }
            else le++;
        }
    }
    var q = new PriorityQueue<int, int>();
    for (var i = m - 1; i >= 0; i--)
    {
        var (_, d) = pz[i];
        if (selected[i])
        {
            q.Enqueue(d, d);
        }
        else
        {
            if (q.Count > 0 && q.Peek() < d)
            {
                q.Dequeue();
                q.Enqueue(d, d);
            }
        }
    }
    while (q.Count > 0) ans += q.Dequeue();
    Out(ans);
}

#region
AtCoderIO _io_;
var _backend_ = new StandardIOBackend();
_io_ = new(){ Backend = _backend_ };
Run();
_backend_.Flush();

string String() => _io_.Next();
int Int() => int.Parse(String());
void Out(object? x, string? sep = null) => _io_.Out(x, sep);

class AtCoderIO
{
    public required StandardIOBackend Backend { get; init; }

    Memory<string> _input = Array.Empty<string>();
    int _iter = 0;
    public string Next()
    {
        while (_iter >= _input.Length) (_input, _iter) = (Backend.ReadLine().Split(' '), 0);
        return _input.Span[_iter++];
    }

    public void Out(object? x, string? separator = null)
    {
        if (x == null) return;
        separator ??= Environment.NewLine;
        if (x is System.Collections.IEnumerable a and not string)
        {
            var objects = a.Cast<object>();
            if (separator == Environment.NewLine && !objects.Any()) return;
            x = string.Join(separator, objects);
        }
        Backend.WriteLine(x);
    }
}

class StandardIOBackend
{
    readonly StreamReader _sr = new(Console.OpenStandardInput());
    readonly StreamWriter _sw = new(Console.OpenStandardOutput()) { AutoFlush = false };
    public string ReadLine() => _sr.ReadLine()!;
    public void WriteLine(object? value) => _sw.WriteLine(value);
    public void Flush() => _sw.Flush();
}
#endregion

static class Extensions
{
    public static T[] Repeat<T>(this int time, Func<T> F) => Enumerable.Range(0, time).Select(_ => F()).ToArray();
}