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using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
 
namespace MathScripter.Engine
{
    public class CodeBlock
    {
        //this represents something inside "{" and "}".
        //should have the following:
        //dictionary of value names & their values <string, Expression> <- sort and search by string.
        //another dictionary which is all the global variables...
        //[to be changed when I add collections...]
        //also, input parameters.
        public Dictionary<string, CodeBlock> Functions; //functions it can call...
        public Dictionary<string, Expression> Params, Variables, GlobalVariables;
        public Expression ReturnValue; //to be set at the end... if nothing then zero.
        public string[] Commands; //every line is interpreted on-demand. lol, this sucks. fuck ya.
        public bool Finished;
        public int CurrentLine;
        public string Name;
        private int stringCount = 0;
        private bool ranOnce = false;
 
        public CodeBlock()
        {
            //you need to put stuff yourself.
        }
 
        public static List<string> NiceSplit(string s, char at, char LEFT = '{', char RIGHT = '}', char left = '[', char right = ']')
        {
            var l = new List<string>();
            var count = 0;
            var COUNT = 0;
            for (var i = 0; i < s.Length; ++i)
            {
                if (count == 0 && COUNT == 0 && s[i] == at)
                {
                    l.Add(s.Remove(i));
                    if (i == s.Length - 1)
                        return l;
                    s = s.Substring(i + 1);
                    i = -1;
                }
                else if (s[i] == left)
                    ++count;
                else if (s[i] == right)
                    --count;
                else if (s[i] == LEFT)
                    ++COUNT;
                else if (s[i] == RIGHT)
                    --COUNT;
            }
            l.Add(s);
            for(var i = 0; i < l.Count; ++i)
                if (l[i] == "")
                {
                    l.RemoveAt(i);
                    --i;
                }
            return l;
        }
        public Expression Do(string command)
        {
            if (string.IsNullOrEmpty(command))
                return new Number(0);
            //types:
            //var a = XXX -- adds to Variables
            //a = XXX -- if exists, changes
            //return XXX -- sets ReturnValue and ends the program.
            //XXX -- probably a function, just execute the fucking code.
            if (command.StartsWith("var"))
            {
                var name = command.Remove(0, command.IndexOf(' ') + 1);
                name = name.Replace(" ", "");
                name = name.Substring(0, name.IndexOf('='));
                if (!Variables.ContainsKey(name))
                {
                    var value = command.Remove(0, command.IndexOf('=') + 1).Replace(" ", "");
                    Variables.Add(name, Do(value));
                    return Variables.Last().Value.Simplify().SolveFor(this.Params).Simplify().SolveFor(this.Variables).Simplify().SolveFor(this.GlobalVariables).Simplify();
                }
                else
                    Variables[name] = Do(command.Remove(0, command.IndexOf('=') + 1).Replace(" ", "")).Simplify().SolveFor(this.Params).Simplify().SolveFor(this.Variables).Simplify().SolveFor(this.GlobalVariables).Simplify();
            }
            if (command.StartsWith("return"))
            {
                this.Finished = true;
                var tmp = Do(command.Remove(0, command.IndexOf(' ') + 1)).Simplify().SolveFor(this.Params).Simplify().SolveFor(this.Variables).Simplify().SolveFor(this.GlobalVariables).Simplify();
                this.ReturnValue = tmp;
                return tmp;
            }
            //so its either a "set" or "execute"
            if (command.Contains('='))
            {
                //might be set...
                var upTo = command.Remove(command.IndexOf('=')).Replace(" ", "");
                var toDo = command.Remove(0, command.IndexOf('=')+1);
                if (Params.ContainsKey(upTo))
                {
                    Params[upTo] = Do(toDo);
                    return Params[upTo].Simplify().SolveFor(this.Params).Simplify().SolveFor(this.Variables).Simplify().SolveFor(this.GlobalVariables).Simplify();
                }
                else if (Variables.ContainsKey(upTo))
                {
                    Variables[upTo] = Do(toDo);
                    return Variables[upTo].Simplify().SolveFor(this.Params).Simplify().SolveFor(this.Variables).Simplify().SolveFor(this.GlobalVariables).Simplify();
                }
                else if (GlobalVariables.ContainsKey(upTo))
                {
                    GlobalVariables[upTo] = Do(toDo);
                    return GlobalVariables[upTo].Simplify().SolveFor(this.Params).Simplify().SolveFor(this.Variables).Simplify().SolveFor(this.GlobalVariables).Simplify();
                }
            }
 
            //this is some sort of a combination between functions. [worst case]
            //e.g: print[2+s*(2+k[])]
            //therefore, we will treat whole functions
            var e = Expression.Parse(command, this).Simplify();
            var l = e is Operation ? (e as Operation).AllNumbers().Cast<Expression>().ToList() : new List<Expression>(new Expression[] { e });
            var sum = new List<Expression>();
            if (l.Count == 1)
            {
                if (l[0] is Number)
                {
                    var c = l[0] as Number;
                    if (c.MultipliedBy.Count == 0)
                        return c;
                    Expression collector = new Number(1);
                    foreach (var v in c.MultipliedBy)
                    {
                        if (!v.Contains('['))
                        {
                            collector = collector.Multiply(new Number(1, new List<string>(new string[] { v }))).Simplify().SolveFor(this.Params).Simplify().SolveFor(this.Variables).Simplify().SolveFor(this.GlobalVariables).Simplify();
                            continue;
                        }
                        var name = v.Remove(v.IndexOf('['));
                        var parametersT = NiceSplit(v.Substring(v.IndexOf('[') + 1, v.Length - v.IndexOf('[') - 2), ',');
                        var parameters = new Dictionary<string, Expression>(parametersT.Count + 1);
                        if (name.ToLower() == "if")
                        {
                            if (parametersT.Count <= 1)
                                return new Number(0);
                            var tmp = (this.Do(parametersT[0]).Simplify().SolveFor(this.Params).Simplify().SolveFor(this.Variables).Simplify().SolveFor(this.GlobalVariables).Simplify());
                            if (!(tmp is Number))
                                return new Number(0);
                            if ((int)(tmp as Number).Value != 0)
                                this.Do(parametersT[1]).Simplify().SolveFor(this.Params).Simplify().SolveFor(this.Variables).Simplify().SolveFor(this.GlobalVariables).Simplify();
                            return new Number(1);
                        }
                        if (name.ToLower() == "ifnot")
                        {
                            if (parametersT.Count <= 1)
                                return new Number(0);
                            var tmp = (this.Do(parametersT[0]).Simplify().SolveFor(this.Params).Simplify().SolveFor(this.Variables).Simplify().SolveFor(this.GlobalVariables).Simplify());
                            if (!(tmp is Number))
                                return new Number(0);
                            if ((int)(tmp as Number).Value == 0)
                                this.Do(parametersT[1]).Simplify().SolveFor(this.Params).Simplify().SolveFor(this.Variables).Simplify().SolveFor(this.GlobalVariables).Simplify();
                            return new Number(1);
                        }
                        for (var i = 0; i < parametersT.Count; ++i)
                            parameters.Add("_" + i, this.Do(parametersT[i]).Simplify().SolveFor(this.Params).Simplify().SolveFor(this.Variables).Simplify().SolveFor(this.GlobalVariables).Simplify());
                        if (name == "print")
                        {
                            var sb = new StringBuilder();
                            foreach (var k in parameters)
                                sb.AppendFormat("{0}\n", k.Value.ToString().Replace("(", "").Replace(")", ""));
                            Console.Write(sb);
                        }
                        else if (name == "printStr")
                        {
                            var sb = new StringBuilder();
                            foreach (var k in parameters)
                            {
                                if (k.Value is Number)
                                    sb.AppendFormat("'{0}'\n",(char)((k.Value as Number).Value));
                                else if (!(k.Value is Collection))
                                    sb.AppendFormat("{0}\n", k.Value.ToString().Replace("(", "").Replace(")", ""));
                                else
                                {
                                    sb.Append("\"");
                                    foreach (var a in (k.Value as Collection).Items)
                                    {
                                        if (a is Number)
                                            sb.AppendFormat("{0}", (char)((a as Number).Value));
                                        else
                                            sb.AppendFormat("{0}", a);
                                    }
                                    sb.Append("\"\n");
                                }
                            }
                            Console.Write(sb);
                        }
                        else if (name == "square")
                        {
                            if (parameters.Count == 0)
                                collector = collector.Multiply(new Number(0)).Simplify();
                            if (parameters.Count >= 1)
                                collector = collector.Multiply(parameters["_0"].Clone().Multiply(parameters["_0"]).Simplify().SolveFor(this.Params).Simplify().SolveFor(this.Variables).Simplify().SolveFor(this.GlobalVariables).Simplify());
                        }
                        else if (name == "isEqual")
                        {
                            if (parameters.Count != 2)
                                return new Number(0);
                            return parameters["_0"].EqualTo(parameters["_1"]) ? new Number(1) : new Number(0);
                        }
                        else if (name == "elementAt")
                        {
                            if (parameters.Count >= 1 && !(parameters["_0"] is Collection))
                                return parameters["_0"];
                            if (parameters.Count <= 1 || !(parameters["_0"] is Collection) || !(parameters["_1"] is Number))
                                return new Number(0);
                            return (parameters["_0"] as Collection).Items[(int)((parameters["_1"] as Number).Value)];
                        }
                        else if (name == "setAt")
                        {
                            if (parameters.Count < 3 || !(parameters["_1"] is Number) || !(parameters["_0"] is Collection))
                                return new Number();
                            var a = (int)(parameters["_1"] as Number).Value;
                            (parameters["_0"] as Collection).Items[a] = parameters["_2"];
                            return parameters["_1"];
                        }
                        else if (name == "removeAt")
                        {
                            if (parameters.Count < 2 || !(parameters["_1"] is Number) || !(parameters["_0"] is Collection))
                                return new Number();
                            var a = (int)(parameters["_1"] as Number).Value;
                            (parameters["_0"] as Collection).Items.RemoveAt(a);
                            return parameters["_0"];
                        }
                        else if (name == "count")
                        {
                            if (parameters.Count < 1 || !(parameters["_0"] is Collection))
                                return new Number();
                            return new Number((parameters["_0"] as Collection).Items.Count);
                        }
                        else if (name == "add")
                        {
                            if (parameters.Count < 2)
                                return new Number();
                            if (!(parameters["_0"] is Collection))
                                return new Collection(new List<Expression>(new Expression[] { parameters["_0"], parameters["_1"] }));
                            (parameters["_0"] as Collection).Items.Add(parameters["_1"]);
                            return parameters["_0"];
                        }
                        else if (name == "copy")
                        {
                            if(parameters.Count < 1)
                                return new Number();
                            return parameters["_0"].Clone();
                        }
                        else if (name == "compare")
                        {
                            if (parameters.Count != 2)
                                return new Number(0);
                            var one = parameters["_0"];
                            var two = parameters["_1"];
                            if (one.EqualTo(two))
                                return new Number(0);
                            if (!(one is Number && two is Number) || !Expression.SameType(one, two))
                                return new Number(0);
                            return (one as Number).Value - (two as Number).Value > 0 ? new Number(1) : new Number(-1);
                        }
                        else if (name == "digits")
                        {
                            if (parameters.Count == 0 || !(parameters["_0"] is Number))
                                return new Number(0);
                            var value = Math.Abs((int)((parameters["_0"] as Number).Value));
                            var col = new Collection();
                            while (value > 0)
                            {
                                col.Items.Add(new Number(value % 10));
                                value /= 10;
                            }
                            col.Items.Reverse();
                            return col;
                        }
                        else if (name == "goto")
                        {
                            if (parameters.Count == 0)
                                Console.WriteLine("goto must receive atleast one parameter, and it will use the VALUE of the FIRST NUMBER, FIRST PARAMETER.");
                            else
                            {
                                var p = parameters["_0"];
                                if (p is Number)
                                    this.CurrentLine = (int)((p as Number).Value) - 1;
                                else if (p is Collection)
                                {
                                    Console.WriteLine("Can't goto a Collection...");
                                }
                                else if (p is Operation)
                                {
                                    var P = (p as Operation).AllNumbers();
                                    if (P[0] is Operation)
                                        Console.WriteLine("Can't goto a Collection...");
                                    else
                                        this.CurrentLine = (int)((P[0] as Number).Value) - 1;
                                }
                                return new Number(0);
                            }
                        }
                        else if (Functions.ContainsKey(name))
                        {
                            var f = Functions[name];
                            f.Params = parameters;
                            f.Run();
                            f.Finished = false;
                            var retValue = f.ReturnValue == null ? new Number(0) : f.ReturnValue.Clone();
                            collector = collector.Multiply(retValue.Multiply(new Number(c.Value)).Simplify().SolveFor(this.Params).Simplify().SolveFor(this.Variables).Simplify().SolveFor(this.GlobalVariables).Simplify());
                        }
                        else
                            Console.WriteLine("No such function as '{0}'", name);
                    }
                    return collector.Multiply(new Number(c.Value));
                }
                else
                    return l[0];
            }
            else foreach (var v in l)
                {
                    if (!(v is Number))
                    {
                        sum.Add(v);
                        continue;
                    }
                    var V = v as Number;
                    if (V.MultipliedBy.Count == 0)
                    {
                        sum.Add(V);
                        continue;
                    }
                    Expression MulMe = new Number(V.Value);
                    for (var I = 0; I < V.MultipliedBy.Count; ++I)
                    {
                        if (!V.MultipliedBy[I].Contains('['))
                            MulMe = MulMe.Multiply(new Number(1, new List<string>(new string[] { V.MultipliedBy[I] }))).Simplify();
                        else
                        {
                            var tmp = Do(V.MultipliedBy[I]).Multiply(new Number(1)).Simplify();
                            MulMe = MulMe.Multiply(tmp).Simplify();
                        }
                    }
                    if (MulMe is Operation)
                        sum.AddRange((MulMe as Operation).AllNumbers());
                    else
                        sum.Add(MulMe);
                }
            return Operation.FromList(sum).Simplify().SolveFor(this.Params).Simplify().SolveFor(this.Variables).Simplify().SolveFor(this.GlobalVariables).Simplify();
        }
        private string TakeOutStrings(string s)
        {
            if (!s.Contains("\""))
                return s;
            for (var i = 0; i < s.Length; ++i)
            {
                if (s[i] == '\"')
                {
                    var arr = new Collection();
                    var start = i;
                    var end = s.IndexOf('\"', start + 1);
                    string output;
                    if (start == end - 1)
                        output = "";
                    else
                        output = s.Substring(start + 1, end - start - 1);
                    foreach (var c in output)
                        arr.Items.Add(new Number((int)c));
                    this.Variables.Add("_str" + this.stringCount, arr);
                    s = s.Replace("\"" + output + "\"", "_str" + this.stringCount);
                    ++this.stringCount;
                    i = 0;
                }
            }
            return s;
        }
        private void TakeOutStrings()
        {
            for (var i = 0; i < this.Commands.Length; ++i)
                this.Commands[i] = TakeOutStrings(this.Commands[i]);
        }
        public void Run()
        {
            if (!ranOnce)
                this.TakeOutStrings();
            else
                this.CurrentLine = 0;
            ranOnce = true;
            for (; this.CurrentLine< this.Commands.Length && !this.Finished; ++this.CurrentLine)
            {
                Do(this.Commands[this.CurrentLine]);
            }
        }
        public static CodeBlock Factory()
        {
            var c = new CodeBlock();
            c.Functions = new Dictionary<string, CodeBlock>();
            c.Params = new Dictionary<string, Expression>();
            c.Variables = new Dictionary<string, Expression>();
            c.GlobalVariables = new Dictionary<string, Expression>();
            c.Finished = false;
            c.Name = "function";
            c.CurrentLine = 0;
            return c;
        }
    }
    public class FullProgram
    {
        public Dictionary<string, CodeBlock> Functions;
        public Dictionary<string, Expression> GlobalVariables;
 
        public static FullProgram Parse(string[] lines)
        {
            var fp = new FullProgram();
            fp.Functions = new Dictionary<string, CodeBlock>();
            fp.GlobalVariables = new Dictionary<string, Expression>();
            //so, syntax rules:
            //Function *NAME* <- delcare a function
            //return value & parameters are dynamic
            //single { & } for enclosment.
            //thats it for now...
            for (var i = 0; i < lines.Length; ++i)
            {
                var clearLine = lines[i].TrimStart(new char[] { ' ' });
                if (!clearLine.StartsWith("function"))
                    continue;
                if (clearLine.Length == 8)
                    continue;
                var name = clearLine.Substring(clearLine.IndexOf(' ') + 1).Replace(" ", "");
                if (i == lines.Length)
                    break;
                while (lines[i].TrimStart(new char[] { ' ' }) != "{")
                    ++i;
                ++i;
                var count = 1;
                var start = i;
                for (; i < lines.Length && count != 0; ++i)
                    if (lines[i].TrimStart(new char[] { ' ' }) == "{")
                        ++count;
                    else if (lines[i].TrimStart(new char[] { ' ' }) == "}")
                        --count;
                var end = i - 1;
                var nLines = lines.Skip(start).Take(end - start); //lol
                var cb = CodeBlock.Factory();
                cb.Name = name;
                cb.Commands = nLines.ToArray();
                fp.Functions.Add(name, cb);
                --i;
            }
            for (var i = 0; i < fp.Functions.Count; ++i)
            {
                for (var j = 0; j < fp.Functions.Count; ++j)
                    if (j == i)
                        continue;
                    else
                        fp.Functions.Values.ElementAt(i).Functions.Add(fp.Functions.Values.ElementAt(j).Name, fp.Functions.Values.ElementAt(j));
            }
            return fp;
        }
 
        public Expression Go()
        {
            if (!Functions.ContainsKey("main"))
                throw new Exception("No 'main' function...");
            var main = Functions["main"];
            main.Run();
            return main.ReturnValue;
        }
    }
            //todo: Division simplification: common divison, factor, elimination.
    public abstract class Expression
    {
        public static readonly string Operators = @"+-*/";
        public abstract Expression Simplify();
        public abstract Expression SolveFor(Dictionary<string, Expression> Data);
        public abstract Expression Clone();
        public abstract bool EqualTo(Expression e);
        public abstract Expression Multiply(Expression e);
        public abstract Expression Divide(Expression e);
        public static string AddMul(string s)
        {
            for (var i = 1; i < s.Length; ++i)
                if (s[i] == '(' && !@"+-/*".Contains(s[i - 1]))
                    s = s.Insert(i, "*");
            return s;
        }
        public static string RemovePointlessBrackers(string s)
        {
            if (string.IsNullOrEmpty(s))
                return s;
            if (s[0] == '(' && s.Last() == ')')
            {
                var c = 1;
                var i = 1;
                for (; i < s.Length && c != 0; ++i)
                    if (s[i] == '(')
                        ++c;
                    else if (s[i] == ')')
                        --c;
                if(c == 0 && i == s.Length)
                    return s.Substring(1, s.Length - 2);
            }
            return s;
        }
        public static string AddBrackets(string s)
        {
            //because the Scripting engine wants me to treat k[2+2*x] as a whole variable, and not convert to k[2+(2*x)], I must act now.
            int num = 0;
            foreach (char ch in @"+-*/")
            {
                num += TrueCount(s, ch);
            }
            if (num < 2)
                return s;
            List<int> list = new List<int>();
            for (int index = 0; index < s.Length; ++index)
            {
                if (s[index] == '[')
                {
                    var ccc = 1;
                    ++index;
                    for (; index < s.Length && ccc > 0; ++index)
                        if (s[index] == '[')
                            ++ccc;
                        else if (s[index] == ']')
                            --ccc;
                    --index;
                }
                if (index == s.Length)
                    break;
                if ((int)s[index] == 42 || (int)s[index] == 47)
                    list.Add(index);
            }
            list.Reverse();
            for (int index1 = 0; index1 < list.Count; ++index1)
            {
                int startIndex = list[index1] + 1;
                var ccc = 0;
                for (int index2 = 0; startIndex < s.Length && ((index2 != 0 || !Enumerable.Contains<char>((IEnumerable<char>)"+-*/", s[startIndex])) && (index2 != 0 || (int)s[startIndex] != 41)); ++startIndex)
                {
                    if ((int)s[startIndex] == 40)
                        ++index2;
                    else if ((int)s[startIndex] == 41)
                        --index2;
                    if (s[startIndex] == '[')
                    {
                        ++ccc;
                        ++startIndex;
                    }
                    for (; startIndex < s.Length && ccc > 0; ++startIndex)
                        if (s[startIndex] == '[')
                            ++ccc;
                        else if (s[startIndex] == ']')
                        {
                            --ccc;
                            if (ccc == 0)
                                --startIndex;
                        }
                }
                s = s.Insert(startIndex, ")");
                int index3 = list[index1] - 1;
                for (int index2 = 0; index3 >= 0 && ((index2 != 0 || !Enumerable.Contains<char>((IEnumerable<char>)"+-*/", s[index3])) && (index2 != 0 || (int)s[index3] != 40)); --index3)
                {
                    if ((int)s[index3] == 41)
                        ++index2;
                    else if ((int)s[index3] == 40)
                        --index2;
                    if (s[index3] == ']')
                    {
                        --ccc;
                        --index3;
                    }
                    else if (s[index3] == '[')
                    {
                        ++ccc;
                        --index3;
                    }
                    for (; index3 >= 0 && ccc != 0; --index3)
                        if (s[index3] == '[')
                            ++ccc;
                        else if (s[index3] == ']')
                        {
                            --ccc;
                            if (ccc == 0)
                                --index3;
                        }
                }
                s = index3 != -1 ? s.Insert(index3 + 1, "(") : "(" + s;
            }
            return s;
        }
 
        public static Expression Parse(string input, CodeBlock papa = null)
        {
            if (string.IsNullOrEmpty(input))
                return new Number(0);
            input = input.Replace(" ", "");
            if (input[0] == '{')
            {
                var count = 1;
                var next = 1;
                for (; next < input.Length && count != 0; ++next)
                    if (input[next] == '{')
                        ++count;
                    else if (input[next] == '}')
                        --count;
                --next;
                var arr = CodeBlock.NiceSplit(input.Remove(next).Remove(0, 1), ',', '{', '}');
                var coll = new Collection();
                foreach (var a in arr)
                {
                    if(papa == null)
                        coll.Items.Add(Expression.Parse(a));
                    else
                        coll.Items.Add(papa.Do(a)); //DOUBLE RECURSION!
                }
                if (next + 1 >= input.Length)
                    return coll;
                else
                    return new Operation(coll, Expression.Parse(input.Substring(next + 2), papa), (Op)Expression.Operators.IndexOf(input[next + 1]));
            }
            input = Expression.AddBrackets(input);
            input = Expression.RemovePointlessBrackers(input);
            if (TrueCount(input, '[') == 0 && Expression.IndexOfOperator(input, 0) == -1)
            {
                int result = 0;
                if (int.TryParse(input, out result))
                    return new Number(result);
                return (Expression)new Number(1.0, new List<string>(new string[1] { input }));
            }
            else
            {
                int start = 0;
                if (input[start] == '(')
                {
                    int num1 = start;
                    int num2 = 1;
                    int index1 = num1 + num2;
                    int num3 = num1;
                    for (int COUNT = 1; index1 < input.Length && COUNT != 0; ++index1)
                    {
                        if (input[index1] == '(')
                            ++COUNT;
                        else if (input[index1] == ')')
                            --COUNT;
                    }
                    Expression Left = Expression.Parse(input.Substring(num3 + 1, index1 - num3 - 2), papa);
                    if (index1 == input.Length)
                        return Left;
                    string str1 = Expression.Operators;
                    string str2 = input;
                    int index3 = index1;
                    int num4 = 1;
                    int num5 = index3 + num4;
                    int num6 = (int)str2[index3];
                    Op Type = (Op)str1.IndexOf((char)num6);
                    int num7 = num5;
                    int num8 = 1;
                    int num9 = num7 + num8;
                    int count = num7;
                    Expression Right = Expression.Parse(input.Remove(0, count));
                    return (Expression)new Operation(Left, Right, Type);
                }
                else if (Expression.IndexOfOperator(input, start) != -1)
                {
                    int length = Expression.IndexOfOperator(input, start);
                    return (Expression)new Operation(Expression.Parse(input.Substring(0, length), papa), Expression.Parse(input.Remove(0, length + 1), papa), (Op)Expression.Operators.IndexOf(input[length]));
                }
                else
                    return new Number(1, new List<string>(new string[] { input }));
            }
        }
        public static Dictionary<string, Expression> ParseInputs(string input)
        {
            //syntax:
            //NAME => DATA, NAME => DATA
            //y => 2+x, x => i+2, i => 5
            if (string.IsNullOrEmpty(input))
                return new Dictionary<string, Expression>();
            var parts = input.Replace(" ", "").Split(new char[] { ',' }, StringSplitOptions.RemoveEmptyEntries);
            var dic = new Dictionary<string, Expression>();
            foreach (var part in parts)
            {
                var tmp = part.Split(new string[] { "=>" }, StringSplitOptions.RemoveEmptyEntries);
                var name = tmp[0];
                var value = tmp[1];
                dic.Add(name, Expression.Parse(value));
            }
            return dic;
        }
        public static void SimplifyDictionary(Dictionary<string, Expression> d)
        {
            for (var i = 0; i < d.Count; ++i)
            {
                var t = d.ElementAt(i);
                d.Remove(t.Key);
                d.Add(t.Key, t.Value.Simplify().SolveFor(d).Simplify());
            }
        }
        public static string ExpressDic(Dictionary<string, Expression> d)
        {
            var sb = new StringBuilder();
            for (var i = 0; i < d.Count; ++i)
                sb.AppendFormat("{0} => {1}{2}", d.ElementAt(i).Key, d.ElementAt(i).Value, i == d.Count - 1 ? "" : ", ");
            return sb.ToString();
        }
        static public bool SameType(Expression a, Expression b)
        {
            if (a is Number && b is Number)
            {
                //must be simplified!
                var A = a as Number;
                var B = b as Number;
                if (A.DividedBy.Count != B.DividedBy.Count || A.MultipliedBy.Count != B.MultipliedBy.Count)
                    return false;
                for (var i = 0; i < A.DividedBy.Count; ++i)
                    if (A.DividedBy[i] != B.DividedBy[i])
                        return false;
                for (var i = 0; i < A.MultipliedBy.Count; ++i)
                    if (A.MultipliedBy[i] != B.MultipliedBy[i])
                        return false;
                return true;
            }
            return false;
        }
        static private int TrueCount(string s, char of)
        {
            var sum = 0;
            for(var i = 0; i < s.Length; ++i)
            {
                if(s[i] == of)
                    ++sum;
                else if (s[i] == '[')
                {
                    ++i;
                    var count = 1;
                    for (; i < s.Length && count > 0; ++i)
                    {
                        if (s[i] == '[')
                            ++count;
                        else if (s[i] == ']')
                            --count;
                    }
                    --i;
                }
            }
            return sum;
        }
        static private int IndexOfOperator(string s, int start)
        {
            for (var i = start; i < s.Length; ++i)
                if (Operators.Contains(s[i]))
                    return i;
                else if (s[i] == '[')
                {
                    ++i;
                    var c = 1;
                    for (; i < s.Length && c > 0; ++i)
                        if (s[i] == '[')
                            ++c;
                        else if (s[i] == ']')
                            --c;
                    --i;
                }
            return -1;
        }
    }
 
    public enum Op { Add, Sub, Mul, Div };
 
    public class Operation : Expression
    {
        public Op Type;
        public Expression Left, Right;
 
        public Operation(Expression Left = null, Expression Right = null, Op Type = Op.Add)
        {
            this.Left = Left;
            this.Right = Right;
            this.Type = Type;
        }
 
        public override Expression Divide(Expression e)
        {
            this.Left = this.Left.Divide(e.Clone());
            this.Right = this.Right.Divide(e.Clone());
            return this.Simplify();
        }
        public override Expression Multiply(Expression e)
        {
            this.Left = this.Left.Multiply(e.Clone());
            this.Right = this.Right.Multiply(e.Clone());
            return this.Simplify();
        }
 
        public List<Expression> AllNumbers()
        {
            var l = new List<Expression>();
            if (this.Left is Number || this.Left is Collection)
                l.Add(this.Left);
            else
                l.AddRange((this.Left as Operation).AllNumbers());
 
            if (this.Right is Number || this.Right is Collection)
                l.Add(this.Right);
            else
                l.AddRange((this.Right as Operation).AllNumbers());
 
            return l;
        }
        public static Expression FromList(List<Number> l)
        {
            if (l.Count == 0)
                return new Number(0);
            else if (l.Count == 1)
                return l[0];
            else if (l.Count == 2)
                return new Operation(l[0], l[1], Op.Add);
            else
            {
                var t = l[0];
                l.RemoveAt(0);
                return new Operation(t, FromList(l), Op.Add);
            }
        }
        public static Expression FromList(List<Expression> l)
        {
            if (l.Count == 0)
                return new Number(0);
            else if (l.Count == 1)
                return l[0];
            else if (l.Count == 2)
                return new Operation(l[0], l[1], Op.Add);
            else
            {
                var t = l[0];
                l.RemoveAt(0);
                return new Operation(t, FromList(l), Op.Add);
            }
        }
        public static int CanBeDividedBy(List<Number> me, string byMe)
        {
            //the list is to represent a list of multipliers [so it's enough that one divisible by some part, and another is divisible by another part]
            for (var i = 0; i < me.Count; ++i)
            {
                if (me[i].MultipliedBy.Count == 0)
                    continue;
                if (me[i].MultipliedBy.Count == 1 && me[i].MultipliedBy[0] == byMe)
                    return i;
            }
            return -1;
        }
        public static List<List<Number>> Factor(List<List<Number>> l)
        {
            //hmm... CanBeDividedBy method.
            //the dividor must be a Number.
            //this also doesn't matter because it can't be anything else.
            var factorized = new List<List<Number>>();
            var allVariables = new List<string>();
            foreach (var a in l)
                foreach (var b in a)
                    if (b.MultipliedBy.Count == 1 && !allVariables.Contains(b.MultipliedBy[0]))
                        allVariables.Add(b.MultipliedBy[0]);
            //lol, nested foreach's are cool
            
            return factorized;
        }
        public Expression SimplifyDivs()
        {
            throw new NotImplementedException("DONT! Wait for it...");
        }
        public override Expression Simplify()
        {
            //three steps:
            //multiply / devide
            //convert all subs to adds
            //add same-types
            //fin
            this.Left = this.Left.Simplify().Clone();
            this.Right = this.Right.Simplify().Clone();
            if (this.Type == Op.Add || this.Type == Op.Sub)
            {
                if (this.Left.EqualTo(new Number(0)))
                    return this.Right;
                if(this.Right.EqualTo(new Number(0)))
                    return this.Left;
            }
            if (this.Right is Collection && this.Left is Collection && this.Type == Op.Add)
            {
                var newRight = this.Left.Clone() as Collection;
                foreach (var t in (this.Right as Collection).Items)
                    newRight.Items.Add(t);
                return newRight.Simplify();
            }
            if (this.Left is Collection || this.Right is Collection)
                return this;
            if (this.Type == Op.Mul)//first step
                return this.Left.Multiply(this.Right).Simplify();
            if (this.Type == Op.Div)
                return this.Left.Divide(this.Right).Simplify();
 
 
            if (this.Type == Op.Add)//seconds & third
            {
                if (Expression.SameType(this.Left, this.Right))
                    return new Number((this.Left as Number).Value + (this.Right as Number).Value, (this.Left as Number).MultipliedBy, (this.Left as Number).DividedBy);
            }
            if (this.Type == Op.Sub)
            {
                if (Expression.SameType(this.Left, this.Right))
                    return new Number((this.Left as Number).Value - (this.Right as Number).Value, (this.Left as Number).MultipliedBy, (this.Left as Number).DividedBy);
                this.Type = Op.Add;
                this.Right = this.Right.Multiply(new Number(-1));
            }
            //forth step; convert to array [all relationships are addition]
            var exps = new List<Expression>();
            if (this.Left is Number)
                exps.Add(this.Left as Number);
            else
                exps.AddRange((this.Left as Operation).AllNumbers());
            if (this.Right is Number)
                exps.Add(this.Right as Number);
            else
                exps.AddRange((this.Right as Operation).AllNumbers());
            for (var i = 0; i < exps.Count; ++i)
                for (var j = i + 1; j < exps.Count; ++j)
                    if (Expression.SameType(exps[i], exps[j]))
                    {
                        (exps[i] as Number).Value += (exps[j] as Number).Value;
                        exps.RemoveAt(j);
                        --j;
                    }
            if (exps.Count == 1)
                return exps[0];
            return FromList(exps);
        }
        public override Expression SolveFor(Dictionary<string, Expression> Data)
        {
            //MUST be simplified, aka only ADD operations. else, results would suck.
            //does NOT simplify by itself. you need to do it by calling Simplify().
            if (Data.Count == 0)
                return this.Clone();
            var nums = this.AllNumbers();
            var exps = new List<Expression>();
            var output = new List<Expression>();
            for (var i = 0; i < nums.Count; ++i)
                exps.Add(nums[i].SolveFor(Data).Simplify());
            foreach (var e in exps)
                if (e is Number || e is Collection)
                    output.Add(e);
                else
                    output.AddRange((e as Operation).AllNumbers());
            return FromList(output);
        }
        public override Expression Clone()
        {
            return new Operation(this.Left.Clone(), this.Right.Clone(), this.Type);
        }
        public override bool EqualTo(Expression e)
        {
            var E = e as Operation;
            if (E == null)
                return false;
            return E.Type == this.Type && this.Left.EqualTo(E.Left) && this.Right.EqualTo(E.Right);
        }
        public override string ToString()
        {
            return ToString(false);
        }
        public string ToString(bool ignoreBrackets = false)
        {
            var sb = new StringBuilder();
            sb.AppendFormat("{0} {1} {2}", Left is Operation ? string.Format("({0})", Left) : Left.ToString(), OpToStr(Type), Right is Operation ? string.Format("({0})", Right) : Right.ToString());
            return ignoreBrackets ? sb.ToString().Replace("(", "").Replace(")", "") : sb.ToString();
        }
        public string OpToStr(Op Type)
        {
            return Expression.Operators[(int)Type].ToString();
        }
    }
    public class Number : Expression
    {
        public double Value;
        public List<string> MultipliedBy;
        public List<Expression> DividedBy;
 
        public Number(double Value = 0, List<string> MultipliedBy = null, List<Expression> DividedBy = null)
        {
            this.Value = Value;
            if (MultipliedBy == null)
                this.MultipliedBy = new List<string>();
            else
                this.MultipliedBy = MultipliedBy;
            if (DividedBy == null)
                this.DividedBy = new List<Expression>();
            else
                this.DividedBy = DividedBy;
        }
 
        public override Expression Multiply(Expression e)
        {
            if (this.Value == 0)
                return new Number(0);
            if (e is Number)
            {
                var E = e as Number;
                this.Value *= E.Value;
                if (this.Value == 0)
                    return new Number(0);
                this.MultipliedBy.AddRange(E.MultipliedBy);
                this.DividedBy.AddRange(E.DividedBy);
                return this;
            }
            return e.Multiply(this);
        }
        public override Expression Divide(Expression e)
        {
            if (this.Value == 0)
                return new Number(0);
            this.DividedBy.Add(e.Clone().Simplify());
            return this.Simplify();
        }
 
        public int SearchByName(string s)
        {
            for(var i = 0; i < this.DividedBy.Count; ++i)
                if(this.DividedBy[i] is Number && (this.DividedBy[i] as Number).MultipliedBy.Remove(s))
                    return i;
            return -1;
        }
        public override Expression Simplify()
        {
            //eliminating equal values in DIVIDEDBY and MULTIPLIEDBY
            //sorting
            if (this.Value == 0)
                return new Number(0);
            for (var i = 0; i < this.MultipliedBy.Count; ++i)
            {
                int tmp = this.SearchByName(this.MultipliedBy[i]);
                if (tmp != -1)
                {
                    this.MultipliedBy.RemoveAt(i);
                    --i;
                }
            }
            this.MultipliedBy.Sort();
            //also, a/(b/c) => (ac)/b
            var divisors = new List<Expression>();
            foreach (var div in this.DividedBy)
            {
                if (div is Number)
                {
                    var D = div as Number;
                    divisors.Add(D);
                    while (D.DividedBy.Count > 0)
                    {
                        divisors.Add(D.DividedBy[0].Simplify());
                        D.DividedBy.RemoveAt(0);
                    }
                }
                else
                {
                    divisors.Add(div);
                }
            }
            while(divisors.Count > 2)
            {
                var i = divisors.Count - 3;
                divisors[i] = divisors[i].Multiply(divisors[i + 2].Clone().Simplify());
                divisors.RemoveAt(i + 2);
            }
            if (divisors.Count == 2)
            {
                var t = divisors.Last();
                this.DividedBy = new List<Expression>(new Expression[] { divisors[0] });
                return this.Multiply(t);
            }
            this.DividedBy = divisors;
            return this;
        }
        public override Expression SolveFor(Dictionary<string, Expression> Data)
        {
            //condition: must be simplified. don't know how will work for unsimplified data.
            //todo: (new) divide!
            if (Data.Count == 0)
                return this.Clone();
            Expression n = this.Clone() as Number;
            foreach (var s in Data)
            {
                if (n is Number)
                {
                    var N = n as Number;
                    if (N.MultipliedBy.Contains(s.Key))
                    {
                        N.MultipliedBy.Remove(s.Key);
                        if (s.Value is Collection)
                        {
                            n = s.Value.Multiply(n);
                        }
                        else
                            n = N.Multiply(s.Value.Clone()).Simplify().SolveFor(Data).Simplify();
                    }
                }
                else if (n is Operation)
                {
                    var N = n as Operation;
                    var j = N.AllNumbers().Cast<Expression>().ToList();
                    for (var i = 0; i < j.Count; ++i)
                        j[i] = j[i].SolveFor(Data).Simplify();
                    n = Operation.FromList(j);
                }
            }
            return n;
        }
        public override Expression Clone()
        {
            return new Number(this.Value, this.MultipliedBy.ToList(), this.DividedBy.ToList());
        }
        public override bool EqualTo(Expression e)
        {
            var E = e as Number;
            if (E == null)
                return false;
            if (this.Value == E.Value)
            {
                if (this.MultipliedBy.Count == E.MultipliedBy.Count && this.DividedBy.Count == E.DividedBy.Count)
                {
                    for (var i = 0; i < this.MultipliedBy.Count; ++i)
                        if (this.MultipliedBy[i] != E.MultipliedBy[i])
                            return false;
                    var lol = this.DividedBy.Count;
                    for (var i = 0; i < this.DividedBy.Count; ++i)
                        for(var j = i + 1; j < this.DividedBy.Count; ++j)
                            if (this.DividedBy[i].EqualTo(E.DividedBy[j]))
                            {
                                --lol;
                                break;
                            }
                    return lol == 0;
                }
            }
            return false;
        }
        public override string ToString()
        {
            if (this.Value == 0)
                return "0";
            var a = (this.Value == 1 ? (this.DividedBy.Count != 0 || this.MultipliedBy.Count != 0 ? "" : this.Value.ToString()) : this.Value.ToString());
            var simple = new Dictionary<string, int>();
            foreach (var m in this.MultipliedBy)
            {
                if (simple.ContainsKey(m))
                    simple[m]++;
                else
                    simple.Add(m, 1);
            }
            foreach (var s in simple)
                a = a + " * " + s.Key + (s.Value == 1 ? "" : "^" + s.Value);
            if (a.StartsWith(" * "))
                a = a.Remove(0, 3);
            return a;
        }
        public static string ListSum(List<string> l, string inBetween)
        {
            if(l == null || l.Count == 0)
                return "";
            if(l.Count == 1)
                return l[0];
            var sb = new StringBuilder(l[0]);
            for (var i = 1; i < l.Count; ++i)
                sb.AppendFormat("{0}{1}", inBetween, l[i]);
            return sb.ToString();
        }
        public static string ListSum(List<Expression> l, string inBetween)
        {
            if (l == null || l.Count == 0)
                return "";
            if (l.Count == 1)
                return l[0].ToString();
            var sb = new StringBuilder(l[0].ToString());
            for (var i = 1; i < l.Count; ++i)
                sb.AppendFormat("{0}{1}", inBetween, l[i]);
            return sb.ToString();
        }
    }
    public class Collection : Expression
    {
        public List<Expression> Items;
        public Expression Multiplier;
 
        public Collection(List<Expression> Items = null, Expression Multiplier = null)
        {
            this.Items = Items;
            this.Multiplier = Multiplier;
            if (this.Items == null)
                this.Items = new List<Expression>();
            if (this.Multiplier == null)
                this.Multiplier = new Number(1);
        }
 
        public override Expression Clone()
        {
            var c = new Collection();
            c.Multiplier = this.Multiplier.Clone();
            for (var i = 0; i < this.Items.Count; ++i)
                c.Items.Add(this.Items[i].Clone());
            return c;
        }
        public override Expression Simplify()
        {
            this.Multiplier = this.Multiplier.Simplify();
            for (var i = 0; i < this.Items.Count; ++i)
                this.Items[i] = this.Items[i].Simplify();
            return this;
        }
        public override bool EqualTo(Expression e)
        {
            if (e is Collection)
            {
                var E = e as Collection;
                if (E.Items.Count != this.Items.Count)
                    return false;
                var NEW = this.Items.ToList();
                bool flag = false;
                for (var i = 0; i < E.Items.Count; ++i)
                {
                    flag = false;
                    for (var j = 0; j < NEW.Count; ++j)
                        if (NEW[j].EqualTo(E.Items[i]))
                        {
                            NEW.RemoveAt(j);
                            flag = true;
                            break;
                        }
                    if (!flag)
                        return false;
                }
                return true;
            }
            else if (this.Items.Count == 1)
                return e.EqualTo(this.Items[0]);
            return false;
        }
        public override Expression Divide(Expression e)
        {
            this.Multiplier = this.Multiplier.Divide(e).Simplify();
            return this;
        }
        public override Expression Multiply(Expression e)
        {
            this.Multiplier = this.Multiplier.Multiply(e).Simplify();
            return this;
        }
        public override Expression SolveFor(Dictionary<string, Expression> Data)
        {
            this.Multiplier = this.Multiplier.SolveFor(Data).Simplify();
            for (var i = 0; i < this.Items.Count; ++i)
                this.Items[i] = this.Items[i].SolveFor(Data).Simplify();
            return this;
        }
        public override string ToString()
        {
            if (this.Items.Count == 0)
                return "{ }";
            if (this.Items.Count == 1)
                return "{ " + this.Items[0] + " }";
            var sb = new StringBuilder();
            sb.Append("{ " + this.Items[0]);
            for (var i = 1; i < this.Items.Count; ++i)
                sb.AppendFormat(" ,{0}", this.Items[i]);
            sb.Append(" }");
            return sb.ToString();
        }
    }
        class Program
    {
        static void Main(string[] args)
        {
            while (true) 
            {
                Console.WriteLine("Will read lines until line will be XXX.");
                var curr = Console.ReadLine();
                var l = new List<string>();
                while (curr != "XXX")
                {
                    l.Add(curr);
                    curr = Console.ReadLine();
                }
                Console.Clear();
                foreach (var L in l)
                    Console.WriteLine(L);
                Console.WriteLine("\nParsing...");
                var sw = System.Diagnostics.Stopwatch.StartNew();
                var fp = FullProgram.Parse(l.ToArray());
                sw.Stop();
                Console.WriteLine("Parsed in {0}ms. Executing...\n", sw.ElapsedMilliseconds);
                sw = System.Diagnostics.Stopwatch.StartNew();
                var output = fp.Go();
                Console.WriteLine("\n\nFinished executing in {0}ms. Return expression is {1}.",sw.ElapsedMilliseconds, output == null ? "null" : output.ToString());
                Console.ReadLine();
                Console.Clear();
            }
        }
    }
}

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;

namespace MathScripter.Engine
{
    public class CodeBlock
    {
        //this represents something inside "{" and "}".
        //should have the following:
        //dictionary of value names & their values <string, Expression> <- sort and search by string.
        //another dictionary which is all the global variables...
        //[to be changed when I add collections...]
        //also, input parameters.
        public Dictionary<string, CodeBlock> Functions; //functions it can call...
        public Dictionary<string, Expression> Params, Variables, GlobalVariables;
        public Expression ReturnValue; //to be set at the end... if nothing then zero.
        public string[] Commands; //every line is interpreted on-demand. lol, this sucks. fuck ya.
        public bool Finished;
        public int CurrentLine;
        public string Name;
        private int stringCount = 0;
        private bool ranOnce = false;

        public CodeBlock()
        {
            //you need to put stuff yourself.
        }

        public static List<string> NiceSplit(string s, char at, char LEFT = '{', char RIGHT = '}', char left = '[', char right = ']')
        {
            var l = new List<string>();
            var count = 0;
            var COUNT = 0;
            for (var i = 0; i < s.Length; ++i)
            {
                if (count == 0 && COUNT == 0 && s[i] == at)
                {
                    l.Add(s.Remove(i));
                    if (i == s.Length - 1)
                        return l;
                    s = s.Substring(i + 1);
                    i = -1;
                }
                else if (s[i] == left)
                    ++count;
                else if (s[i] == right)
                    --count;
                else if (s[i] == LEFT)
                    ++COUNT;
                else if (s[i] == RIGHT)
                    --COUNT;
            }
            l.Add(s);
            for(var i = 0; i < l.Count; ++i)
                if (l[i] == "")
                {
                    l.RemoveAt(i);
                    --i;
                }
            return l;
        }
        public Expression Do(string command)
        {
            if (string.IsNullOrEmpty(command))
                return new Number(0);
            //types:
            //var a = XXX -- adds to Variables
            //a = XXX -- if exists, changes
            //return XXX -- sets ReturnValue and ends the program.
            //XXX -- probably a function, just execute the fucking code.
            if (command.StartsWith("var"))
            {
                var name = command.Remove(0, command.IndexOf(' ') + 1);
                name = name.Replace(" ", "");
                name = name.Substring(0, name.IndexOf('='));
                if (!Variables.ContainsKey(name))
                {
                    var value = command.Remove(0, command.IndexOf('=') + 1).Replace(" ", "");
                    Variables.Add(name, Do(value));
                    return Variables.Last().Value.Simplify().SolveFor(this.Params).Simplify().SolveFor(this.Variables).Simplify().SolveFor(this.GlobalVariables).Simplify();
                }
                else
                    Variables[name] = Do(command.Remove(0, command.IndexOf('=') + 1).Replace(" ", "")).Simplify().SolveFor(this.Params).Simplify().SolveFor(this.Variables).Simplify().SolveFor(this.GlobalVariables).Simplify();
            }
            if (command.StartsWith("return"))
            {
                this.Finished = true;
                var tmp = Do(command.Remove(0, command.IndexOf(' ') + 1)).Simplify().SolveFor(this.Params).Simplify().SolveFor(this.Variables).Simplify().SolveFor(this.GlobalVariables).Simplify();
                this.ReturnValue = tmp;
                return tmp;
            }
            //so its either a "set" or "execute"
            if (command.Contains('='))
            {
                //might be set...
                var upTo = command.Remove(command.IndexOf('=')).Replace(" ", "");
                var toDo = command.Remove(0, command.IndexOf('=')+1);
                if (Params.ContainsKey(upTo))
                {
                    Params[upTo] = Do(toDo);
                    return Params[upTo].Simplify().SolveFor(this.Params).Simplify().SolveFor(this.Variables).Simplify().SolveFor(this.GlobalVariables).Simplify();
                }
                else if (Variables.ContainsKey(upTo))
                {
                    Variables[upTo] = Do(toDo);
                    return Variables[upTo].Simplify().SolveFor(this.Params).Simplify().SolveFor(this.Variables).Simplify().SolveFor(this.GlobalVariables).Simplify();
                }
                else if (GlobalVariables.ContainsKey(upTo))
                {
                    GlobalVariables[upTo] = Do(toDo);
                    return GlobalVariables[upTo].Simplify().SolveFor(this.Params).Simplify().SolveFor(this.Variables).Simplify().SolveFor(this.GlobalVariables).Simplify();
                }
            }

            //this is some sort of a combination between functions. [worst case]
            //e.g: print[2+s*(2+k[])]
            //therefore, we will treat whole functions
            var e = Expression.Parse(command, this).Simplify();
            var l = e is Operation ? (e as Operation).AllNumbers().Cast<Expression>().ToList() : new List<Expression>(new Expression[] { e });
            var sum = new List<Expression>();
            if (l.Count == 1)
            {
                if (l[0] is Number)
                {
                    var c = l[0] as Number;
                    if (c.MultipliedBy.Count == 0)
                        return c;
                    Expression collector = new Number(1);
                    foreach (var v in c.MultipliedBy)
                    {
                        if (!v.Contains('['))
                        {
                            collector = collector.Multiply(new Number(1, new List<string>(new string[] { v }))).Simplify().SolveFor(this.Params).Simplify().SolveFor(this.Variables).Simplify().SolveFor(this.GlobalVariables).Simplify();
                            continue;
                        }
                        var name = v.Remove(v.IndexOf('['));
                        var parametersT = NiceSplit(v.Substring(v.IndexOf('[') + 1, v.Length - v.IndexOf('[') - 2), ',');
                        var parameters = new Dictionary<string, Expression>(parametersT.Count + 1);
                        if (name.ToLower() == "if")
                        {
                            if (parametersT.Count <= 1)
                                return new Number(0);
                            var tmp = (this.Do(parametersT[0]).Simplify().SolveFor(this.Params).Simplify().SolveFor(this.Variables).Simplify().SolveFor(this.GlobalVariables).Simplify());
                            if (!(tmp is Number))
                                return new Number(0);
                            if ((int)(tmp as Number).Value != 0)
                                this.Do(parametersT[1]).Simplify().SolveFor(this.Params).Simplify().SolveFor(this.Variables).Simplify().SolveFor(this.GlobalVariables).Simplify();
                            return new Number(1);
                        }
                        if (name.ToLower() == "ifnot")
                        {
                            if (parametersT.Count <= 1)
                                return new Number(0);
                            var tmp = (this.Do(parametersT[0]).Simplify().SolveFor(this.Params).Simplify().SolveFor(this.Variables).Simplify().SolveFor(this.GlobalVariables).Simplify());
                            if (!(tmp is Number))
                                return new Number(0);
                            if ((int)(tmp as Number).Value == 0)
                                this.Do(parametersT[1]).Simplify().SolveFor(this.Params).Simplify().SolveFor(this.Variables).Simplify().SolveFor(this.GlobalVariables).Simplify();
                            return new Number(1);
                        }
                        for (var i = 0; i < parametersT.Count; ++i)
                            parameters.Add("_" + i, this.Do(parametersT[i]).Simplify().SolveFor(this.Params).Simplify().SolveFor(this.Variables).Simplify().SolveFor(this.GlobalVariables).Simplify());
                        if (name == "print")
                        {
                            var sb = new StringBuilder();
                            foreach (var k in parameters)
                                sb.AppendFormat("{0}\n", k.Value.ToString().Replace("(", "").Replace(")", ""));
                            Console.Write(sb);
                        }
                        else if (name == "printStr")
                        {
                            var sb = new StringBuilder();
                            foreach (var k in parameters)
                            {
                                if (k.Value is Number)
                                    sb.AppendFormat("'{0}'\n",(char)((k.Value as Number).Value));
                                else if (!(k.Value is Collection))
                                    sb.AppendFormat("{0}\n", k.Value.ToString().Replace("(", "").Replace(")", ""));
                                else
                                {
                                    sb.Append("\"");
                                    foreach (var a in (k.Value as Collection).Items)
                                    {
                                        if (a is Number)
                                            sb.AppendFormat("{0}", (char)((a as Number).Value));
                                        else
                                            sb.AppendFormat("{0}", a);
                                    }
                                    sb.Append("\"\n");
                                }
                            }
                            Console.Write(sb);
                        }
                        else if (name == "square")
                        {
                            if (parameters.Count == 0)
                                collector = collector.Multiply(new Number(0)).Simplify();
                            if (parameters.Count >= 1)
                                collector = collector.Multiply(parameters["_0"].Clone().Multiply(parameters["_0"]).Simplify().SolveFor(this.Params).Simplify().SolveFor(this.Variables).Simplify().SolveFor(this.GlobalVariables).Simplify());
                        }
                        else if (name == "isEqual")
                        {
                            if (parameters.Count != 2)
                                return new Number(0);
                            return parameters["_0"].EqualTo(parameters["_1"]) ? new Number(1) : new Number(0);
                        }
                        else if (name == "elementAt")
                        {
                            if (parameters.Count >= 1 && !(parameters["_0"] is Collection))
                                return parameters["_0"];
                            if (parameters.Count <= 1 || !(parameters["_0"] is Collection) || !(parameters["_1"] is Number))
                                return new Number(0);
                            return (parameters["_0"] as Collection).Items[(int)((parameters["_1"] as Number).Value)];
                        }
                        else if (name == "setAt")
                        {
                            if (parameters.Count < 3 || !(parameters["_1"] is Number) || !(parameters["_0"] is Collection))
                                return new Number();
                            var a = (int)(parameters["_1"] as Number).Value;
                            (parameters["_0"] as Collection).Items[a] = parameters["_2"];
                            return parameters["_1"];
                        }
                        else if (name == "removeAt")
                        {
                            if (parameters.Count < 2 || !(parameters["_1"] is Number) || !(parameters["_0"] is Collection))
                                return new Number();
                            var a = (int)(parameters["_1"] as Number).Value;
                            (parameters["_0"] as Collection).Items.RemoveAt(a);
                            return parameters["_0"];
                        }
                        else if (name == "count")
                        {
                            if (parameters.Count < 1 || !(parameters["_0"] is Collection))
                                return new Number();
                            return new Number((parameters["_0"] as Collection).Items.Count);
                        }
                        else if (name == "add")
                        {
                            if (parameters.Count < 2)
                                return new Number();
                            if (!(parameters["_0"] is Collection))
                                return new Collection(new List<Expression>(new Expression[] { parameters["_0"], parameters["_1"] }));
                            (parameters["_0"] as Collection).Items.Add(parameters["_1"]);
                            return parameters["_0"];
                        }
                        else if (name == "copy")
                        {
                            if(parameters.Count < 1)
                                return new Number();
                            return parameters["_0"].Clone();
                        }
                        else if (name == "compare")
                        {
                            if (parameters.Count != 2)
                                return new Number(0);
                            var one = parameters["_0"];
                            var two = parameters["_1"];
                            if (one.EqualTo(two))
                                return new Number(0);
                            if (!(one is Number && two is Number) || !Expression.SameType(one, two))
                                return new Number(0);
                            return (one as Number).Value - (two as Number).Value > 0 ? new Number(1) : new Number(-1);
                        }
                        else if (name == "digits")
                        {
                            if (parameters.Count == 0 || !(parameters["_0"] is Number))
                                return new Number(0);
                            var value = Math.Abs((int)((parameters["_0"] as Number).Value));
                            var col = new Collection();
                            while (value > 0)
                            {
                                col.Items.Add(new Number(value % 10));
                                value /= 10;
                            }
                            col.Items.Reverse();
                            return col;
                        }
                        else if (name == "goto")
                        {
                            if (parameters.Count == 0)
                                Console.WriteLine("goto must receive atleast one parameter, and it will use the VALUE of the FIRST NUMBER, FIRST PARAMETER.");
                            else
                            {
                                var p = parameters["_0"];
                                if (p is Number)
                                    this.CurrentLine = (int)((p as Number).Value) - 1;
                                else if (p is Collection)
                                {
                                    Console.WriteLine("Can't goto a Collection...");
                                }
                                else if (p is Operation)
                                {
                                    var P = (p as Operation).AllNumbers();
                                    if (P[0] is Operation)
                                        Console.WriteLine("Can't goto a Collection...");
                                    else
                                        this.CurrentLine = (int)((P[0] as Number).Value) - 1;
                                }
                                return new Number(0);
                            }
                        }
                        else if (Functions.ContainsKey(name))
                        {
                            var f = Functions[name];
                            f.Params = parameters;
                            f.Run();
                            f.Finished = false;
                            var retValue = f.ReturnValue == null ? new Number(0) : f.ReturnValue.Clone();
                            collector = collector.Multiply(retValue.Multiply(new Number(c.Value)).Simplify().SolveFor(this.Params).Simplify().SolveFor(this.Variables).Simplify().SolveFor(this.GlobalVariables).Simplify());
                        }
                        else
                            Console.WriteLine("No such function as '{0}'", name);
                    }
                    return collector.Multiply(new Number(c.Value));
                }
                else
                    return l[0];
            }
            else foreach (var v in l)
                {
                    if (!(v is Number))
                    {
                        sum.Add(v);
                        continue;
                    }
                    var V = v as Number;
                    if (V.MultipliedBy.Count == 0)
                    {
                        sum.Add(V);
                        continue;
                    }
                    Expression MulMe = new Number(V.Value);
                    for (var I = 0; I < V.MultipliedBy.Count; ++I)
                    {
                        if (!V.MultipliedBy[I].Contains('['))
                            MulMe = MulMe.Multiply(new Number(1, new List<string>(new string[] { V.MultipliedBy[I] }))).Simplify();
                        else
                        {
                            var tmp = Do(V.MultipliedBy[I]).Multiply(new Number(1)).Simplify();
                            MulMe = MulMe.Multiply(tmp).Simplify();
                        }
                    }
                    if (MulMe is Operation)
                        sum.AddRange((MulMe as Operation).AllNumbers());
                    else
                        sum.Add(MulMe);
                }
            return Operation.FromList(sum).Simplify().SolveFor(this.Params).Simplify().SolveFor(this.Variables).Simplify().SolveFor(this.GlobalVariables).Simplify();
        }
        private string TakeOutStrings(string s)
        {
            if (!s.Contains("\""))
                return s;
            for (var i = 0; i < s.Length; ++i)
            {
                if (s[i] == '\"')
                {
                    var arr = new Collection();
                    var start = i;
                    var end = s.IndexOf('\"', start + 1);
                    string output;
                    if (start == end - 1)
                        output = "";
                    else
                        output = s.Substring(start + 1, end - start - 1);
                    foreach (var c in output)
                        arr.Items.Add(new Number((int)c));
                    this.Variables.Add("_str" + this.stringCount, arr);
                    s = s.Replace("\"" + output + "\"", "_str" + this.stringCount);
                    ++this.stringCount;
                    i = 0;
                }
            }
            return s;
        }
        private void TakeOutStrings()
        {
            for (var i = 0; i < this.Commands.Length; ++i)
                this.Commands[i] = TakeOutStrings(this.Commands[i]);
        }
        public void Run()
        {
            if (!ranOnce)
                this.TakeOutStrings();
            else
                this.CurrentLine = 0;
            ranOnce = true;
            for (; this.CurrentLine< this.Commands.Length && !this.Finished; ++this.CurrentLine)
            {
                Do(this.Commands[this.CurrentLine]);
            }
        }
        public static CodeBlock Factory()
        {
            var c = new CodeBlock();
            c.Functions = new Dictionary<string, CodeBlock>();
            c.Params = new Dictionary<string, Expression>();
            c.Variables = new Dictionary<string, Expression>();
            c.GlobalVariables = new Dictionary<string, Expression>();
            c.Finished = false;
            c.Name = "function";
            c.CurrentLine = 0;
            return c;
        }
    }
    public class FullProgram
    {
        public Dictionary<string, CodeBlock> Functions;
        public Dictionary<string, Expression> GlobalVariables;

        public static FullProgram Parse(string[] lines)
        {
            var fp = new FullProgram();
            fp.Functions = new Dictionary<string, CodeBlock>();
            fp.GlobalVariables = new Dictionary<string, Expression>();
            //so, syntax rules:
            //Function *NAME* <- delcare a function
            //return value & parameters are dynamic
            //single { & } for enclosment.
            //thats it for now...
            for (var i = 0; i < lines.Length; ++i)
            {
                var clearLine = lines[i].TrimStart(new char[] { ' ' });
                if (!clearLine.StartsWith("function"))
                    continue;
                if (clearLine.Length == 8)
                    continue;
                var name = clearLine.Substring(clearLine.IndexOf(' ') + 1).Replace(" ", "");
                if (i == lines.Length)
                    break;
                while (lines[i].TrimStart(new char[] { ' ' }) != "{")
                    ++i;
                ++i;
                var count = 1;
                var start = i;
                for (; i < lines.Length && count != 0; ++i)
                    if (lines[i].TrimStart(new char[] { ' ' }) == "{")
                        ++count;
                    else if (lines[i].TrimStart(new char[] { ' ' }) == "}")
                        --count;
                var end = i - 1;
                var nLines = lines.Skip(start).Take(end - start); //lol
                var cb = CodeBlock.Factory();
                cb.Name = name;
                cb.Commands = nLines.ToArray();
                fp.Functions.Add(name, cb);
                --i;
            }
            for (var i = 0; i < fp.Functions.Count; ++i)
            {
                for (var j = 0; j < fp.Functions.Count; ++j)
                    if (j == i)
                        continue;
                    else
                        fp.Functions.Values.ElementAt(i).Functions.Add(fp.Functions.Values.ElementAt(j).Name, fp.Functions.Values.ElementAt(j));
            }
            return fp;
        }

        public Expression Go()
        {
            if (!Functions.ContainsKey("main"))
                throw new Exception("No 'main' function...");
            var main = Functions["main"];
            main.Run();
            return main.ReturnValue;
        }
    }
	    //todo: Division simplification: common divison, factor, elimination.
    public abstract class Expression
    {
        public static readonly string Operators = @"+-*/";
        public abstract Expression Simplify();
        public abstract Expression SolveFor(Dictionary<string, Expression> Data);
        public abstract Expression Clone();
        public abstract bool EqualTo(Expression e);
        public abstract Expression Multiply(Expression e);
        public abstract Expression Divide(Expression e);
        public static string AddMul(string s)
        {
            for (var i = 1; i < s.Length; ++i)
                if (s[i] == '(' && !@"+-/*".Contains(s[i - 1]))
                    s = s.Insert(i, "*");
            return s;
        }
        public static string RemovePointlessBrackers(string s)
        {
            if (string.IsNullOrEmpty(s))
                return s;
            if (s[0] == '(' && s.Last() == ')')
            {
                var c = 1;
                var i = 1;
                for (; i < s.Length && c != 0; ++i)
                    if (s[i] == '(')
                        ++c;
                    else if (s[i] == ')')
                        --c;
                if(c == 0 && i == s.Length)
                    return s.Substring(1, s.Length - 2);
            }
            return s;
        }
        public static string AddBrackets(string s)
        {
            //because the Scripting engine wants me to treat k[2+2*x] as a whole variable, and not convert to k[2+(2*x)], I must act now.
            int num = 0;
            foreach (char ch in @"+-*/")
            {
                num += TrueCount(s, ch);
            }
            if (num < 2)
                return s;
            List<int> list = new List<int>();
            for (int index = 0; index < s.Length; ++index)
            {
                if (s[index] == '[')
                {
                    var ccc = 1;
                    ++index;
                    for (; index < s.Length && ccc > 0; ++index)
                        if (s[index] == '[')
                            ++ccc;
                        else if (s[index] == ']')
                            --ccc;
                    --index;
                }
                if (index == s.Length)
                    break;
                if ((int)s[index] == 42 || (int)s[index] == 47)
                    list.Add(index);
            }
            list.Reverse();
            for (int index1 = 0; index1 < list.Count; ++index1)
            {
                int startIndex = list[index1] + 1;
                var ccc = 0;
                for (int index2 = 0; startIndex < s.Length && ((index2 != 0 || !Enumerable.Contains<char>((IEnumerable<char>)"+-*/", s[startIndex])) && (index2 != 0 || (int)s[startIndex] != 41)); ++startIndex)
                {
                    if ((int)s[startIndex] == 40)
                        ++index2;
                    else if ((int)s[startIndex] == 41)
                        --index2;
                    if (s[startIndex] == '[')
                    {
                        ++ccc;
                        ++startIndex;
                    }
                    for (; startIndex < s.Length && ccc > 0; ++startIndex)
                        if (s[startIndex] == '[')
                            ++ccc;
                        else if (s[startIndex] == ']')
                        {
                            --ccc;
                            if (ccc == 0)
                                --startIndex;
                        }
                }
                s = s.Insert(startIndex, ")");
                int index3 = list[index1] - 1;
                for (int index2 = 0; index3 >= 0 && ((index2 != 0 || !Enumerable.Contains<char>((IEnumerable<char>)"+-*/", s[index3])) && (index2 != 0 || (int)s[index3] != 40)); --index3)
                {
                    if ((int)s[index3] == 41)
                        ++index2;
                    else if ((int)s[index3] == 40)
                        --index2;
                    if (s[index3] == ']')
                    {
                        --ccc;
                        --index3;
                    }
                    else if (s[index3] == '[')
                    {
                        ++ccc;
                        --index3;
                    }
                    for (; index3 >= 0 && ccc != 0; --index3)
                        if (s[index3] == '[')
                            ++ccc;
                        else if (s[index3] == ']')
                        {
                            --ccc;
                            if (ccc == 0)
                                --index3;
                        }
                }
                s = index3 != -1 ? s.Insert(index3 + 1, "(") : "(" + s;
            }
            return s;
        }

        public static Expression Parse(string input, CodeBlock papa = null)
        {
            if (string.IsNullOrEmpty(input))
                return new Number(0);
            input = input.Replace(" ", "");
            if (input[0] == '{')
            {
                var count = 1;
                var next = 1;
                for (; next < input.Length && count != 0; ++next)
                    if (input[next] == '{')
                        ++count;
                    else if (input[next] == '}')
                        --count;
                --next;
                var arr = CodeBlock.NiceSplit(input.Remove(next).Remove(0, 1), ',', '{', '}');
                var coll = new Collection();
                foreach (var a in arr)
                {
                    if(papa == null)
                        coll.Items.Add(Expression.Parse(a));
                    else
                        coll.Items.Add(papa.Do(a)); //DOUBLE RECURSION!
                }
                if (next + 1 >= input.Length)
                    return coll;
                else
                    return new Operation(coll, Expression.Parse(input.Substring(next + 2), papa), (Op)Expression.Operators.IndexOf(input[next + 1]));
            }
            input = Expression.AddBrackets(input);
            input = Expression.RemovePointlessBrackers(input);
            if (TrueCount(input, '[') == 0 && Expression.IndexOfOperator(input, 0) == -1)
            {
                int result = 0;
                if (int.TryParse(input, out result))
                    return new Number(result);
                return (Expression)new Number(1.0, new List<string>(new string[1] { input }));
            }
            else
            {
                int start = 0;
                if (input[start] == '(')
                {
                    int num1 = start;
                    int num2 = 1;
                    int index1 = num1 + num2;
                    int num3 = num1;
                    for (int COUNT = 1; index1 < input.Length && COUNT != 0; ++index1)
                    {
                        if (input[index1] == '(')
                            ++COUNT;
                        else if (input[index1] == ')')
                            --COUNT;
                    }
                    Expression Left = Expression.Parse(input.Substring(num3 + 1, index1 - num3 - 2), papa);
                    if (index1 == input.Length)
                        return Left;
                    string str1 = Expression.Operators;
                    string str2 = input;
                    int index3 = index1;
                    int num4 = 1;
                    int num5 = index3 + num4;
                    int num6 = (int)str2[index3];
                    Op Type = (Op)str1.IndexOf((char)num6);
                    int num7 = num5;
                    int num8 = 1;
                    int num9 = num7 + num8;
                    int count = num7;
                    Expression Right = Expression.Parse(input.Remove(0, count));
                    return (Expression)new Operation(Left, Right, Type);
                }
                else if (Expression.IndexOfOperator(input, start) != -1)
                {
                    int length = Expression.IndexOfOperator(input, start);
                    return (Expression)new Operation(Expression.Parse(input.Substring(0, length), papa), Expression.Parse(input.Remove(0, length + 1), papa), (Op)Expression.Operators.IndexOf(input[length]));
                }
                else
                    return new Number(1, new List<string>(new string[] { input }));
            }
        }
        public static Dictionary<string, Expression> ParseInputs(string input)
        {
            //syntax:
            //NAME => DATA, NAME => DATA
            //y => 2+x, x => i+2, i => 5
            if (string.IsNullOrEmpty(input))
                return new Dictionary<string, Expression>();
            var parts = input.Replace(" ", "").Split(new char[] { ',' }, StringSplitOptions.RemoveEmptyEntries);
            var dic = new Dictionary<string, Expression>();
            foreach (var part in parts)
            {
                var tmp = part.Split(new string[] { "=>" }, StringSplitOptions.RemoveEmptyEntries);
                var name = tmp[0];
                var value = tmp[1];
                dic.Add(name, Expression.Parse(value));
            }
            return dic;
        }
        public static void SimplifyDictionary(Dictionary<string, Expression> d)
        {
            for (var i = 0; i < d.Count; ++i)
            {
                var t = d.ElementAt(i);
                d.Remove(t.Key);
                d.Add(t.Key, t.Value.Simplify().SolveFor(d).Simplify());
            }
        }
        public static string ExpressDic(Dictionary<string, Expression> d)
        {
            var sb = new StringBuilder();
            for (var i = 0; i < d.Count; ++i)
                sb.AppendFormat("{0} => {1}{2}", d.ElementAt(i).Key, d.ElementAt(i).Value, i == d.Count - 1 ? "" : ", ");
            return sb.ToString();
        }
        static public bool SameType(Expression a, Expression b)
        {
            if (a is Number && b is Number)
            {
                //must be simplified!
                var A = a as Number;
                var B = b as Number;
                if (A.DividedBy.Count != B.DividedBy.Count || A.MultipliedBy.Count != B.MultipliedBy.Count)
                    return false;
                for (var i = 0; i < A.DividedBy.Count; ++i)
                    if (A.DividedBy[i] != B.DividedBy[i])
                        return false;
                for (var i = 0; i < A.MultipliedBy.Count; ++i)
                    if (A.MultipliedBy[i] != B.MultipliedBy[i])
                        return false;
                return true;
            }
            return false;
        }
        static private int TrueCount(string s, char of)
        {
            var sum = 0;
            for(var i = 0; i < s.Length; ++i)
            {
                if(s[i] == of)
                    ++sum;
                else if (s[i] == '[')
                {
                    ++i;
                    var count = 1;
                    for (; i < s.Length && count > 0; ++i)
                    {
                        if (s[i] == '[')
                            ++count;
                        else if (s[i] == ']')
                            --count;
                    }
                    --i;
                }
            }
            return sum;
        }
        static private int IndexOfOperator(string s, int start)
        {
            for (var i = start; i < s.Length; ++i)
                if (Operators.Contains(s[i]))
                    return i;
                else if (s[i] == '[')
                {
                    ++i;
                    var c = 1;
                    for (; i < s.Length && c > 0; ++i)
                        if (s[i] == '[')
                            ++c;
                        else if (s[i] == ']')
                            --c;
                    --i;
                }
            return -1;
        }
    }

    public enum Op { Add, Sub, Mul, Div };

    public class Operation : Expression
    {
        public Op Type;
        public Expression Left, Right;

        public Operation(Expression Left = null, Expression Right = null, Op Type = Op.Add)
        {
            this.Left = Left;
            this.Right = Right;
            this.Type = Type;
        }

        public override Expression Divide(Expression e)
        {
            this.Left = this.Left.Divide(e.Clone());
            this.Right = this.Right.Divide(e.Clone());
            return this.Simplify();
        }
        public override Expression Multiply(Expression e)
        {
            this.Left = this.Left.Multiply(e.Clone());
            this.Right = this.Right.Multiply(e.Clone());
            return this.Simplify();
        }

        public List<Expression> AllNumbers()
        {
            var l = new List<Expression>();
            if (this.Left is Number || this.Left is Collection)
                l.Add(this.Left);
            else
                l.AddRange((this.Left as Operation).AllNumbers());

            if (this.Right is Number || this.Right is Collection)
                l.Add(this.Right);
            else
                l.AddRange((this.Right as Operation).AllNumbers());

            return l;
        }
        public static Expression FromList(List<Number> l)
        {
            if (l.Count == 0)
                return new Number(0);
            else if (l.Count == 1)
                return l[0];
            else if (l.Count == 2)
                return new Operation(l[0], l[1], Op.Add);
            else
            {
                var t = l[0];
                l.RemoveAt(0);
                return new Operation(t, FromList(l), Op.Add);
            }
        }
        public static Expression FromList(List<Expression> l)
        {
            if (l.Count == 0)
                return new Number(0);
            else if (l.Count == 1)
                return l[0];
            else if (l.Count == 2)
                return new Operation(l[0], l[1], Op.Add);
            else
            {
                var t = l[0];
                l.RemoveAt(0);
                return new Operation(t, FromList(l), Op.Add);
            }
        }
        public static int CanBeDividedBy(List<Number> me, string byMe)
        {
            //the list is to represent a list of multipliers [so it's enough that one divisible by some part, and another is divisible by another part]
            for (var i = 0; i < me.Count; ++i)
            {
                if (me[i].MultipliedBy.Count == 0)
                    continue;
                if (me[i].MultipliedBy.Count == 1 && me[i].MultipliedBy[0] == byMe)
                    return i;
            }
            return -1;
        }
        public static List<List<Number>> Factor(List<List<Number>> l)
        {
            //hmm... CanBeDividedBy method.
            //the dividor must be a Number.
            //this also doesn't matter because it can't be anything else.
            var factorized = new List<List<Number>>();
            var allVariables = new List<string>();
            foreach (var a in l)
                foreach (var b in a)
                    if (b.MultipliedBy.Count == 1 && !allVariables.Contains(b.MultipliedBy[0]))
                        allVariables.Add(b.MultipliedBy[0]);
            //lol, nested foreach's are cool
            
            return factorized;
        }
        public Expression SimplifyDivs()
        {
            throw new NotImplementedException("DONT! Wait for it...");
        }
        public override Expression Simplify()
        {
            //three steps:
            //multiply / devide
            //convert all subs to adds
            //add same-types
            //fin
            this.Left = this.Left.Simplify().Clone();
            this.Right = this.Right.Simplify().Clone();
            if (this.Type == Op.Add || this.Type == Op.Sub)
            {
                if (this.Left.EqualTo(new Number(0)))
                    return this.Right;
                if(this.Right.EqualTo(new Number(0)))
                    return this.Left;
            }
            if (this.Right is Collection && this.Left is Collection && this.Type == Op.Add)
            {
                var newRight = this.Left.Clone() as Collection;
                foreach (var t in (this.Right as Collection).Items)
                    newRight.Items.Add(t);
                return newRight.Simplify();
            }
            if (this.Left is Collection || this.Right is Collection)
                return this;
            if (this.Type == Op.Mul)//first step
                return this.Left.Multiply(this.Right).Simplify();
            if (this.Type == Op.Div)
                return this.Left.Divide(this.Right).Simplify();


            if (this.Type == Op.Add)//seconds & third
            {
                if (Expression.SameType(this.Left, this.Right))
                    return new Number((this.Left as Number).Value + (this.Right as Number).Value, (this.Left as Number).MultipliedBy, (this.Left as Number).DividedBy);
            }
            if (this.Type == Op.Sub)
            {
                if (Expression.SameType(this.Left, this.Right))
                    return new Number((this.Left as Number).Value - (this.Right as Number).Value, (this.Left as Number).MultipliedBy, (this.Left as Number).DividedBy);
                this.Type = Op.Add;
                this.Right = this.Right.Multiply(new Number(-1));
            }
            //forth step; convert to array [all relationships are addition]
            var exps = new List<Expression>();
            if (this.Left is Number)
                exps.Add(this.Left as Number);
            else
                exps.AddRange((this.Left as Operation).AllNumbers());
            if (this.Right is Number)
                exps.Add(this.Right as Number);
            else
                exps.AddRange((this.Right as Operation).AllNumbers());
            for (var i = 0; i < exps.Count; ++i)
                for (var j = i + 1; j < exps.Count; ++j)
                    if (Expression.SameType(exps[i], exps[j]))
                    {
                        (exps[i] as Number).Value += (exps[j] as Number).Value;
                        exps.RemoveAt(j);
                        --j;
                    }
            if (exps.Count == 1)
                return exps[0];
            return FromList(exps);
        }
        public override Expression SolveFor(Dictionary<string, Expression> Data)
        {
            //MUST be simplified, aka only ADD operations. else, results would suck.
            //does NOT simplify by itself. you need to do it by calling Simplify().
            if (Data.Count == 0)
                return this.Clone();
            var nums = this.AllNumbers();
            var exps = new List<Expression>();
            var output = new List<Expression>();
            for (var i = 0; i < nums.Count; ++i)
                exps.Add(nums[i].SolveFor(Data).Simplify());
            foreach (var e in exps)
                if (e is Number || e is Collection)
                    output.Add(e);
                else
                    output.AddRange((e as Operation).AllNumbers());
            return FromList(output);
        }
        public override Expression Clone()
        {
            return new Operation(this.Left.Clone(), this.Right.Clone(), this.Type);
        }
        public override bool EqualTo(Expression e)
        {
            var E = e as Operation;
            if (E == null)
                return false;
            return E.Type == this.Type && this.Left.EqualTo(E.Left) && this.Right.EqualTo(E.Right);
        }
        public override string ToString()
        {
            return ToString(false);
        }
        public string ToString(bool ignoreBrackets = false)
        {
            var sb = new StringBuilder();
            sb.AppendFormat("{0} {1} {2}", Left is Operation ? string.Format("({0})", Left) : Left.ToString(), OpToStr(Type), Right is Operation ? string.Format("({0})", Right) : Right.ToString());
            return ignoreBrackets ? sb.ToString().Replace("(", "").Replace(")", "") : sb.ToString();
        }
        public string OpToStr(Op Type)
        {
            return Expression.Operators[(int)Type].ToString();
        }
    }
    public class Number : Expression
    {
        public double Value;
        public List<string> MultipliedBy;
        public List<Expression> DividedBy;

        public Number(double Value = 0, List<string> MultipliedBy = null, List<Expression> DividedBy = null)
        {
            this.Value = Value;
            if (MultipliedBy == null)
                this.MultipliedBy = new List<string>();
            else
                this.MultipliedBy = MultipliedBy;
            if (DividedBy == null)
                this.DividedBy = new List<Expression>();
            else
                this.DividedBy = DividedBy;
        }

        public override Expression Multiply(Expression e)
        {
            if (this.Value == 0)
                return new Number(0);
            if (e is Number)
            {
                var E = e as Number;
                this.Value *= E.Value;
                if (this.Value == 0)
                    return new Number(0);
                this.MultipliedBy.AddRange(E.MultipliedBy);
                this.DividedBy.AddRange(E.DividedBy);
                return this;
            }
            return e.Multiply(this);
        }
        public override Expression Divide(Expression e)
        {
            if (this.Value == 0)
                return new Number(0);
            this.DividedBy.Add(e.Clone().Simplify());
            return this.Simplify();
        }

        public int SearchByName(string s)
        {
            for(var i = 0; i < this.DividedBy.Count; ++i)
                if(this.DividedBy[i] is Number && (this.DividedBy[i] as Number).MultipliedBy.Remove(s))
                    return i;
            return -1;
        }
        public override Expression Simplify()
        {
            //eliminating equal values in DIVIDEDBY and MULTIPLIEDBY
            //sorting
            if (this.Value == 0)
                return new Number(0);
            for (var i = 0; i < this.MultipliedBy.Count; ++i)
            {
                int tmp = this.SearchByName(this.MultipliedBy[i]);
                if (tmp != -1)
                {
                    this.MultipliedBy.RemoveAt(i);
                    --i;
                }
            }
            this.MultipliedBy.Sort();
            //also, a/(b/c) => (ac)/b
            var divisors = new List<Expression>();
            foreach (var div in this.DividedBy)
            {
                if (div is Number)
                {
                    var D = div as Number;
                    divisors.Add(D);
                    while (D.DividedBy.Count > 0)
                    {
                        divisors.Add(D.DividedBy[0].Simplify());
                        D.DividedBy.RemoveAt(0);
                    }
                }
                else
                {
                    divisors.Add(div);
                }
            }
            while(divisors.Count > 2)
            {
                var i = divisors.Count - 3;
                divisors[i] = divisors[i].Multiply(divisors[i + 2].Clone().Simplify());
                divisors.RemoveAt(i + 2);
            }
            if (divisors.Count == 2)
            {
                var t = divisors.Last();
                this.DividedBy = new List<Expression>(new Expression[] { divisors[0] });
                return this.Multiply(t);
            }
            this.DividedBy = divisors;
            return this;
        }
        public override Expression SolveFor(Dictionary<string, Expression> Data)
        {
            //condition: must be simplified. don't know how will work for unsimplified data.
            //todo: (new) divide!
            if (Data.Count == 0)
                return this.Clone();
            Expression n = this.Clone() as Number;
            foreach (var s in Data)
            {
                if (n is Number)
                {
                    var N = n as Number;
                    if (N.MultipliedBy.Contains(s.Key))
                    {
                        N.MultipliedBy.Remove(s.Key);
                        if (s.Value is Collection)
                        {
                            n = s.Value.Multiply(n);
                        }
                        else
                            n = N.Multiply(s.Value.Clone()).Simplify().SolveFor(Data).Simplify();
                    }
                }
                else if (n is Operation)
                {
                    var N = n as Operation;
                    var j = N.AllNumbers().Cast<Expression>().ToList();
                    for (var i = 0; i < j.Count; ++i)
                        j[i] = j[i].SolveFor(Data).Simplify();
                    n = Operation.FromList(j);
                }
            }
            return n;
        }
        public override Expression Clone()
        {
            return new Number(this.Value, this.MultipliedBy.ToList(), this.DividedBy.ToList());
        }
        public override bool EqualTo(Expression e)
        {
            var E = e as Number;
            if (E == null)
                return false;
            if (this.Value == E.Value)
            {
                if (this.MultipliedBy.Count == E.MultipliedBy.Count && this.DividedBy.Count == E.DividedBy.Count)
                {
                    for (var i = 0; i < this.MultipliedBy.Count; ++i)
                        if (this.MultipliedBy[i] != E.MultipliedBy[i])
                            return false;
                    var lol = this.DividedBy.Count;
                    for (var i = 0; i < this.DividedBy.Count; ++i)
                        for(var j = i + 1; j < this.DividedBy.Count; ++j)
                            if (this.DividedBy[i].EqualTo(E.DividedBy[j]))
                            {
                                --lol;
                                break;
                            }
                    return lol == 0;
                }
            }
            return false;
        }
        public override string ToString()
        {
            if (this.Value == 0)
                return "0";
            var a = (this.Value == 1 ? (this.DividedBy.Count != 0 || this.MultipliedBy.Count != 0 ? "" : this.Value.ToString()) : this.Value.ToString());
            var simple = new Dictionary<string, int>();
            foreach (var m in this.MultipliedBy)
            {
                if (simple.ContainsKey(m))
                    simple[m]++;
                else
                    simple.Add(m, 1);
            }
            foreach (var s in simple)
                a = a + " * " + s.Key + (s.Value == 1 ? "" : "^" + s.Value);
            if (a.StartsWith(" * "))
                a = a.Remove(0, 3);
            return a;
        }
        public static string ListSum(List<string> l, string inBetween)
        {
            if(l == null || l.Count == 0)
                return "";
            if(l.Count == 1)
                return l[0];
            var sb = new StringBuilder(l[0]);
            for (var i = 1; i < l.Count; ++i)
                sb.AppendFormat("{0}{1}", inBetween, l[i]);
            return sb.ToString();
        }
        public static string ListSum(List<Expression> l, string inBetween)
        {
            if (l == null || l.Count == 0)
                return "";
            if (l.Count == 1)
                return l[0].ToString();
            var sb = new StringBuilder(l[0].ToString());
            for (var i = 1; i < l.Count; ++i)
                sb.AppendFormat("{0}{1}", inBetween, l[i]);
            return sb.ToString();
        }
    }
    public class Collection : Expression
    {
        public List<Expression> Items;
        public Expression Multiplier;

        public Collection(List<Expression> Items = null, Expression Multiplier = null)
        {
            this.Items = Items;
            this.Multiplier = Multiplier;
            if (this.Items == null)
                this.Items = new List<Expression>();
            if (this.Multiplier == null)
                this.Multiplier = new Number(1);
        }

        public override Expression Clone()
        {
            var c = new Collection();
            c.Multiplier = this.Multiplier.Clone();
            for (var i = 0; i < this.Items.Count; ++i)
                c.Items.Add(this.Items[i].Clone());
            return c;
        }
        public override Expression Simplify()
        {
            this.Multiplier = this.Multiplier.Simplify();
            for (var i = 0; i < this.Items.Count; ++i)
                this.Items[i] = this.Items[i].Simplify();
            return this;
        }
        public override bool EqualTo(Expression e)
        {
            if (e is Collection)
            {
                var E = e as Collection;
                if (E.Items.Count != this.Items.Count)
                    return false;
                var NEW = this.Items.ToList();
                bool flag = false;
                for (var i = 0; i < E.Items.Count; ++i)
                {
                    flag = false;
                    for (var j = 0; j < NEW.Count; ++j)
                        if (NEW[j].EqualTo(E.Items[i]))
                        {
                            NEW.RemoveAt(j);
                            flag = true;
                            break;
                        }
                    if (!flag)
                        return false;
                }
                return true;
            }
            else if (this.Items.Count == 1)
                return e.EqualTo(this.Items[0]);
            return false;
        }
        public override Expression Divide(Expression e)
        {
            this.Multiplier = this.Multiplier.Divide(e).Simplify();
            return this;
        }
        public override Expression Multiply(Expression e)
        {
            this.Multiplier = this.Multiplier.Multiply(e).Simplify();
            return this;
        }
        public override Expression SolveFor(Dictionary<string, Expression> Data)
        {
            this.Multiplier = this.Multiplier.SolveFor(Data).Simplify();
            for (var i = 0; i < this.Items.Count; ++i)
                this.Items[i] = this.Items[i].SolveFor(Data).Simplify();
            return this;
        }
        public override string ToString()
        {
            if (this.Items.Count == 0)
                return "{ }";
            if (this.Items.Count == 1)
                return "{ " + this.Items[0] + " }";
            var sb = new StringBuilder();
            sb.Append("{ " + this.Items[0]);
            for (var i = 1; i < this.Items.Count; ++i)
                sb.AppendFormat(" ,{0}", this.Items[i]);
            sb.Append(" }");
            return sb.ToString();
        }
    }
	class Program
    {
        static void Main(string[] args)
        {
            while (true) 
            {
                Console.WriteLine("Will read lines until line will be XXX.");
                var curr = Console.ReadLine();
                var l = new List<string>();
                while (curr != "XXX")
                {
                    l.Add(curr);
                    curr = Console.ReadLine();
                }
                Console.Clear();
                foreach (var L in l)
                    Console.WriteLine(L);
                Console.WriteLine("\nParsing...");
                var sw = System.Diagnostics.Stopwatch.StartNew();
                var fp = FullProgram.Parse(l.ToArray());
                sw.Stop();
                Console.WriteLine("Parsed in {0}ms. Executing...\n", sw.ElapsedMilliseconds);
                sw = System.Diagnostics.Stopwatch.StartNew();
                var output = fp.Go();
                Console.WriteLine("\n\nFinished executing in {0}ms. Return expression is {1}.",sw.ElapsedMilliseconds, output == null ? "null" : output.ToString());
                Console.ReadLine();
                Console.Clear();
            }
        }
    }
}