using System;
using System.Linq;
using System.Diagnostics;
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 D = sc.Integer() + 1;
            var s = sc.Scan();
            var vis = new bool[n];
            Func<int, KeyValuePair<int, long[]>> parse = null;
            parse = pos =>
              {
                  if (pos == n)
                      return new KeyValuePair<int, long[]>(n, new long[D]);
                  var ret = new long[D];
                  ret[0] = 1;
                  while (true)
                  {
                      if (pos == n || s[pos] == '}')
                      {
                          return new KeyValuePair<int, long[]>(pos, ret);
                      }
                      else if (s[pos] == 'x')
                      {
                          for (int i = D - 1; i > 0; i--)
                              ret[i] = ret[i - 1];
                          ret[0] = 0;
                          pos++;
                          continue;
                      }
                      else if (char.IsDigit(s[pos]))
                      {
                          for (int i = 0; i < D; i++)
                              ret[i] *= s[pos] - '0';
                          pos++;
                          continue;
                      }
                      else if (s[pos] == '*')
                      {
                          pos++;
                          continue;
                      }
                      else if (s[pos] == '+')
                      {
                          var res = parse(pos + 1);
                          for (int i = 0; i < D; i++)
                              ret[i] += res.Value[i];
                          pos = res.Key;
                          return new KeyValuePair<int, long[]>(pos, ret);
                      }
                      else if (s[pos] == 'd')
                      {
                          var res = parse(pos + 2);
                          var next = new long[D];
                          for (int i = 1; i < D; i++)
                              next[i - 1] = res.Value[i] * i;
                          var nn = new long[D];
                          for (int i = 0; i < D; i++)
                              for (int j = 0; j < D; j++)
                              {
                                  if (i + j < D)
                                      nn[i + j] += ret[i] * next[j];
                              }
                          ret = nn;
                          pos = res.Key + 1;
                      }

                  }

              };
            var ans = parse(0);
            IO.Printer.Out.WriteLine(ans.Value.AsJoinedString());
        }

        public IO.StreamScanner sc = new IO.StreamScanner(Console.OpenStandardInput());
        static T[] Enumerate<T>(int n, Func<int, T> f) { var a = new T[n]; for (int i = 0; i < n; ++i) a[i] = f(i); return a; }
        static public void Swap<T>(ref T a, ref T b) { var tmp = a; a = b; b = tmp; }
    }
}
#region main
static class Ex
{
    static public string AsString(this IEnumerable<char> ie) { return new string(System.Linq.Enumerable.ToArray(ie)); }
    static public string AsJoinedString<T>(this IEnumerable<T> ie, string st = " ") { return string.Join(st, ie); }
    static public void Main()
    {
        var solver = new Program.Solver();
        solver.Solve();
        Program.IO.Printer.Out.Flush();
    }
}
#endregion
#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<T>(string format, T[] source) { base.Write(format, source.OfType<object>().ToArray()); }
        public void WriteLine<T>(string format, T[] source) { base.WriteLine(format, source.OfType<object>().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) && !isEof); 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 string ScanLine()
        {
            var sb = new StringBuilder();
            for (var b = Char(); b != '\n'; b = (char)read())
                if (b == 0) break;
                else if (b != '\r') 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<T>(int n, Func<T> 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); }
    }
}
#endregion