#nullable enable

using M = (int, int, int);

#region
var (_input, _iter) = (Array.Empty<string>(), 0);
T I<T>() where T : IParsable<T>
{
    while (_iter >= _input.Length) (_input, _iter) = (Console.ReadLine()!.Trim().Split(' '), 0);
    return T.Parse(_input[_iter++], null);
}
#endregion

var n = I<int>();
var q = I<int>();
var s = I<string>();

var ul = (1, 0, 0);
var ur = (0, 0, 1);
SegmentTree<M, Op> data;
{
    var init = new M[n];
    for (var i = 0; i < n; i++) init[i] = s[i] == ')' ? ul : ur;
    data = new(init);
}
var ans = new List<int>();
for (var i = 0; i < q; i++)
{
    var k = I<int>();
    if (k == 1) data.Set(I<int>() - 1, I<int>() == 1 ? ur : ul);
    else ans.Add(data.Product(I<int>() - 1, I<int>()).Item2 * 2);
}
Console.WriteLine(string.Join(Environment.NewLine, ans));

readonly struct Op : ISegmentTreeOperator<M>
{
    public M IdentityElement => (0, 0, 0);

    public M Operation(M x, M y)
    {
        var (xl, xv, xr) = x;
        var (yl, yv, yr) = y;
        var a = Math.Min(xr, yl);
        xr -= a;
        yl -= a;
        return (xl + yl, xv + yv + a, xr + yr);
    }
}

interface ISegmentTreeOperator<TMonoid>
{
    TMonoid IdentityElement { get; }
    TMonoid Operation(TMonoid x, TMonoid y);
}
class SegmentTree<TMonoid, TOperator> where TOperator : struct, ISegmentTreeOperator<TMonoid>
{
    public int BaseSize { get; init; }
    protected int Height { get; init; }
    protected TOperator Op { get; init; }
    protected TMonoid[] Values { get; init; }

    public SegmentTree(TMonoid[] initial, TOperator op = default)
    {
        Op = op;
        (BaseSize, Height) = (1, 0);
        while (BaseSize < initial.Length) (BaseSize, Height) = (BaseSize << 1, Height + 1);
        var size = BaseSize << 1;
        Values = new TMonoid[size];
        var values = Values;
        for (var i = 0; i < size; i++) values[i] = op.IdentityElement;
        for (var i = 0; i < initial.Length; i++) values[i + BaseSize] = initial[i];
        for (var i = BaseSize - 1; i > 0; i--) Update(values, i);
    }

    public TMonoid Product(int l, int r)
    {
        (l, r) = (l + BaseSize, r + BaseSize);
        var (resL, resR) = (Op.IdentityElement, Op.IdentityElement);
        var values = Values;
        while (l < r)
        {
            if ((l & 1) == 1) resL = Op.Operation(resL, values[l++]);
            if ((r & 1) == 1) resR = Op.Operation(values[--r], resR);
            (l, r) = (l >> 1, r >> 1);
        }
        return Op.Operation(resL, resR);
    }

    public void Set(int index, TMonoid value)
    {
        var j = index + BaseSize;
        var values = Values;
        values[j] = value;
        while ((j >>= 1) > 0) Update(values, j);
    }

    protected void Update(TMonoid[] values, int k) { values[k] = Op.Operation(values[k << 1], values[(k << 1) + 1]); }
}