Order of Ops 6.5 (added brackets), C#

Order of Ops 6.5 (added brackets)

//Rextester.Program.Main is the entry point for your code. Don't change it.
//Compiler version 4.0.30319.17929 for Microsoft (R) .NET Framework 4.5

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text.RegularExpressions;
using ShuffleExtension;
using System.Threading;
using System.Data;
using MathSpace;
using CountExtension;

namespace Rextester
{
    public class Program
    {
        public static void Main(string[] args)
        {
            makeOpQEasy();
        }
        
        public static void makeOpQEasy() {
            
            string fmt = "##;(-##)";
        
            string[] op = new string[] {"+", "-", "*", "+1", "-1", "*1"};
            int numQ = 16;
            List<string>[] opQ = new List<string>[numQ];
            
            for (int i = 0; i < numQ; i++){
                opQ[i] = new List<string>();
            }
            
            int result, count;
			decimal resultD;
            
            
            int countQ = 0;
            
            List<string> totalQ = new List<string>();
            
            
           
            List<string> questions = new List<string>();
            
                
            while(questions.Count()<80) {
            //for (int i=0; i<10000;i++) {
                
                int[] n = new int[3];
                HashSet<int> numbers = new HashSet<int>();
                while (numbers.Count < 3) {
                    numbers.Add(Rand.Next(2,1000)); // can change to Rand.Next(2,99) for positive integers or Rand.NextPM(2,99) for all integers
                }
                
                numbers.CopyTo(n);
                    
                int a = Rand.Next(0,3);
                int b = Rand.Next(0,6);
                int c = Rand.Next(0,3);
				
				// 1st switch 
                switch(op[a]) {
                    case "+":
                    // 2nd switch +
                    switch(op[b]) {
                        case "+":
                            result = n[0] + n[1] + n[2];
                            if (opQ[0].Count()<10 && result > 0 && result < 1000 ) {
                                opQ[0].Add(" ");
                                questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" + "+n[1].ToString(fmt)+" + "+n[2].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
                            }
                        break;
                        case "-":
                            result = n[0] + n[1] - n[2];
                            if (opQ[1].Count()<10 && result > 0 && result < 1000 ) {
                                opQ[1].Add(" ");
                                questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" + "+n[1].ToString(fmt)+" - "+n[2].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
                            }
                        break;
                        case "*":
                            result = n[0] + n[1] * n[2];
                            if (opQ[2].Count()<10 && result > 0 && result < 1000 ) {
                                opQ[2].Add(" ");
                                questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" + "+n[1].ToString(fmt)+" \\times "+n[2].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
                            }
                        break;
                        case "+1":
                            result = n[0] + (n[1] + n[2]);
                            if (opQ[0].Count()<10 && result > 0 && result < 1000 ) {
                                opQ[0].Add(" ");
                                questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" + ("+n[1].ToString(fmt)+" + "+n[2].ToString(fmt)+") }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
                            }
                        break;
                        case "-1":
                            result = n[0] + (n[1] - n[2]);
                            if (n[1]>n[2] && opQ[1].Count()<10 && result > 0 && result < 1000 ) {
                                opQ[1].Add(" ");
                                questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" + ("+n[1].ToString(fmt)+" - "+n[2].ToString(fmt)+") }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
                            }
                        break;
                        case "*1":
                            result = (n[0] + n[1]) * n[2];
                            if (opQ[2].Count()<10 && result > 0 && result < 1000 ) {
                                opQ[2].Add(" ");
                                questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{("+n[0].ToString(fmt)+" + "+n[1].ToString(fmt)+") \\times "+n[2].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
                            }
                        break;
                        
                    }
                break; // 1st switch break 
                case "-": 
                    // 2nd switch -
                    switch(op[b]) {
                        case "+":
                            result = n[0] - n[1] + n[2];
                            if (n[0] > n[1] && opQ[4].Count()<10 && result > 0 && result < 1000 ) {
                                opQ[4].Add(" ");
                                questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" - "+n[1].ToString(fmt)+" + "+n[2].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
                            }
                        break;
                        case "-":
                        result = n[0] - n[1] - n[2];
                            if (n[0] > n[1] && n[1] > n[2] && opQ[5].Count()<10 && result > 0 && result < 1000 ) {
                                opQ[5].Add(" ");
                                questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" - "+n[1].ToString(fmt)+" - "+n[2].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
                            }
                        break;
                        case "*":
                            result = n[0] - n[1] * n[2];
                            if (n[0] > n[1] && opQ[6].Count()<10 && result > 0 && result < 1000 ) {
                                opQ[6].Add(" ");
                                questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" - "+n[1].ToString(fmt)+" \\times "+n[2].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
                            }
                        break;
                        case "+1":
                            result = n[0] - (n[1] + n[2]);
                            if (opQ[4].Count()<10 && result > 0 && result < 1000 ) {
                                opQ[4].Add(" ");
                                questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" - ("+n[1].ToString(fmt)+" + "+n[2].ToString(fmt)+") }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
                            }
                        break;
                        case "-1":
                        result = n[0] - (n[1] - n[2]);
                            if (n[1] > n[2] && opQ[5].Count()<10 && result > 0 && result < 1000 ) {
                                opQ[5].Add(" ");
                                questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" - ("+n[1].ToString(fmt)+" - "+n[2].ToString(fmt)+") }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
                            }
                        break;
                        case "*1":
                            result = (n[0] - n[1]) * n[2];
                            if (n[0] > n[1] && opQ[6].Count()<10 && result > 0 && result < 1000 ) {
                                opQ[6].Add(" ");
                                questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{("+n[0].ToString(fmt)+" - "+n[1].ToString(fmt)+") \\times "+n[2].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
                            }
                        break;
                        
                    }
                break; // 1st switch break 
                case "*":
                    // 2nd switch *
                    switch(op[b]) {
                        case "+":
                            result = n[0] * n[1] + n[2];
                            if (opQ[8].Count()<10 && result > 0 && result < 1000 ) {
                                opQ[8].Add(" ");
                                questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\times "+n[1].ToString(fmt)+" + "+n[2].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
                            }
                        break;
                        case "-":
                        result = n[0] * n[1] - n[2];
                            if (opQ[9].Count()<10 && result > 0 && result < 1000 ) {
                                opQ[9].Add(" ");
                                questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\times "+n[1].ToString(fmt)+" - "+n[2].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
                            }
                        break;
                        case "*":
                        result = n[0] * n[1] * n[2];
                            if (opQ[10].Count()<10 && result > 0 && result < 1000 ) {
                                opQ[10].Add(" ");
                                questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\times "+n[1].ToString(fmt)+" \\times "+n[2].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
                            }
                        break;
                        case "+1":
                            result = n[0] * (n[1] + n[2]);
                            if (opQ[8].Count()<10 && result > 0 && result < 1000 ) {
                                opQ[8].Add(" ");
                                questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\times ("+n[1].ToString(fmt)+" + "+n[2].ToString(fmt)+") }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
                            }
                        break;
                        case "-1":
                        result = n[0] * (n[1] - n[2]);
                            if (n[1] > n[2] && opQ[9].Count()<10 && result > 0 && result < 1000 ) {
                                opQ[9].Add(" ");
                                questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\times ("+n[1].ToString(fmt)+" - "+n[2].ToString(fmt)+") }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
                            }
                        break;
                        case "*1":
                        result = n[0] * (n[1] * n[2]);
                            if (opQ[10].Count()<10 && result > 0 && result < 1000 ) {
                                opQ[10].Add(" ");
                                questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\times ("+n[1].ToString(fmt)+" \\times "+n[2].ToString(fmt)+") }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
                            }
                        break;
                    }
                break; // 1st switch break 
                
            }
            
                
            } // end while 
            
            totalQ = questions.ToList();
            
            
            totalQ.Shuffle();
            string title1 = "Order of Operations";
            string title2 = "Directed Numbers (Easy)";
            string exerciseTitle = "Calculate the following questions";
            Print(totalQ, title2, exerciseTitle, 20);
            PrintAnswerKey(totalQ, title2, 20);
            
        }

public static void makeOpQMed() {
            
            string fmt = "##;(-##)";
        
            string[] op = new string[] {"+", "-", "*", "/"};
            int numQ = 64;
            List<string>[] opQ = new List<string>[numQ];
            
            for (int i = 0; i < numQ; i++){
                opQ[i] = new List<string>();
            }
            
            int result, count;
			decimal resultD;
            
            
            int countQ = 0;
            
            List<string> totalQ = new List<string>();
            
            
           
            List<string> questions = new List<string>();
            
                
            while(questions.Count()<120) {
            //for (int i=0; i<10000;i++) {
                
                int[] n = new int[4];
                HashSet<int> numbers = new HashSet<int>();
                while (numbers.Count < 4) {
                    numbers.Add(Rand.NextPM(2,99)); // can change to Rand.Next(2,99) for positive integers or Rand.NextPM(2,99) for all integers
                }
                
                numbers.CopyTo(n);
                    
                int a = Rand.Next(0,4);
                int b = Rand.Next(0,4);
                int c = Rand.Next(0,4);
                
                switch(op[a]) {
                    case "+":
					// 2nd switch ++
					switch(op[b]) {
							case "+":
							// 3rd switch +++
							switch(op[c]) {
								case "+":
									result = n[0] + n[1] + n[2] + n[3];
									if (opQ[0].Count()<3 && Math.Abs(result)<100 ) {
										opQ[0].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" + "+n[1].ToString(fmt)+" + "+n[2].ToString(fmt)+" + "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
									}
								break;
								case "-":
									result = n[0] + n[1] + n[2] - n[3];
									if (opQ[1].Count()<3 && Math.Abs(result)<100 ) {
										opQ[1].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" + "+n[1].ToString(fmt)+" + "+n[2].ToString(fmt)+" - "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
									}
								break;
								case "*":
									result = n[0] + n[1] + n[2] * n[3];
									if (opQ[2].Count()<3 && Math.Abs(result)<100 ) {
										opQ[2].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" + "+n[1].ToString(fmt)+" + "+n[2].ToString(fmt)+" \\times "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
									}
								break;
								case "/":
									resultD = n[0] + n[1] + ((decimal)n[2] /(decimal)n[3]);
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[3].Count()<3 && Math.Abs(resultD)<100 && resultD%1==0 && count==0 ) {
										opQ[3].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" + "+n[1].ToString(fmt)+" + "+n[2].ToString(fmt)+" \\div "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+(int)resultD+"\\)");
									}
								break;
							}
						break; // 2nd switch break +++
						case "-": 
							// 3rd switch ++-
							switch(op[c]) {
								case "+":
									result = n[0] + n[1] - n[2] + n[3];
									if (opQ[4].Count()<3 && Math.Abs(result)<100 ) {
										opQ[4].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" + "+n[1].ToString(fmt)+" - "+n[2].ToString(fmt)+" + "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
									}
								break;
								case "-":
								result = n[0] + n[1] - n[2] - n[3];
									if (opQ[5].Count()<3 && Math.Abs(result)<100 ) {
										opQ[5].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" + "+n[1].ToString(fmt)+" - "+n[2].ToString(fmt)+" - "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
									}
								break;
								case "*":
									result = n[0] + n[1] - n[2] * n[3];
									if (opQ[6].Count()<3 && Math.Abs(result)<100 ) {
										opQ[6].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" + "+n[1].ToString(fmt)+" - "+n[2].ToString(fmt)+" \\times "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
									}
								break;
								case "/":
								resultD = n[0] + n[1] - ((decimal) n[2] / (decimal)n[3]);
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[7].Count()<3 && Math.Abs(resultD)<100 && resultD%1==0 && count==0 ) {
										opQ[7].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" + "+n[1].ToString(fmt)+" - "+n[2].ToString(fmt)+" \\div "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+(int)resultD+"\\)");
									}
								break;
							}
						break; // 2nd switch break ++-
						case "*":
							// 3rd switch ++*
							switch(op[c]) {
								case "+":
									result = n[0] + n[1] * n[2] + n[3];
									if (opQ[8].Count()<3 && Math.Abs(result)<100 ) {
										opQ[8].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" + "+n[1].ToString(fmt)+" \\times "+n[2].ToString(fmt)+" + "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
									}
								break;
								case "-":
								result = n[0] + n[1] * n[2] - n[3];
									if (opQ[9].Count()<3 && Math.Abs(result)<100 ) {
										opQ[9].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" + "+n[1].ToString(fmt)+" \\times "+n[2].ToString(fmt)+" - "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
									}
								break;
								case "*":
								result = n[0] + n[1] * n[2] * n[3];
									if (opQ[10].Count()<3 && Math.Abs(result)<100 ) {
										opQ[10].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" + "+n[1].ToString(fmt)+" \\times "+n[2].ToString(fmt)+" \\times "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
									}
								break;
								case "/":
								resultD = n[0] + ((decimal) n[1] * n[2] / (decimal)n[3]);
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[11].Count()<3 && Math.Abs(resultD)<100 && resultD%1==0 && count==0 ) {
										opQ[11].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" + "+n[1].ToString(fmt)+" \\times "+n[2].ToString(fmt)+" \\div "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+(int)resultD+"\\)");
									}
								break;
							}
						break; // 2nd switch break ++*
						case "/":
							// 3rd switch ++/
							switch(op[c]) {
								case "+":
								resultD = n[0] + ((decimal)n[1] /(decimal)n[2]) + n[3];
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[12].Count()<3 && Math.Abs(resultD)<100 && resultD%1==0 && count==0 ) {
										opQ[12].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" + "+n[1].ToString(fmt)+" \\div "+n[2].ToString(fmt)+" + "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+resultD+"\\)");
									}
								break;
								case "-":
								resultD = n[0] + ((decimal)n[1] /(decimal)n[2]) - n[3];
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[13].Count()<3 && Math.Abs(resultD)<100 && resultD%1==0 && count==0 ) {
										opQ[13].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" + "+n[1].ToString(fmt)+" \\div "+n[2].ToString(fmt)+" - "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+resultD+"\\)");
									}
								break;
								case "*":
								resultD = n[0] + ((decimal)n[1] /(decimal)n[2]) * n[3];
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[14].Count()<3 && Math.Abs(resultD)<100 && resultD%1==0 && count==0 ) {
										opQ[14].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" + "+n[1].ToString(fmt)+" \\div "+n[2].ToString(fmt)+" \\times "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+resultD+"\\)");
									}
								break;
								case "/":
								resultD = n[0] + ((decimal) n[1] / (decimal)n[2] /(decimal)n[3]);
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[15].Count()<3 && Math.Abs(resultD)<100 && resultD%1==0 && count==0 ) {
										opQ[15].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" + "+n[1].ToString(fmt)+" \\div "+n[2].ToString(fmt)+" \\div "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+(int)resultD+"\\)");
									}
								break;
							}
						break; // 2nd switch break ++/
					}
				break; // 1st switch break ++
				case "-":
					//2nd switch +-
					switch(op[b]) {
						case "+":
							// 3rd switch +-+
							switch(op[c]) {
								case "+":
								result = n[0] - n[1] + n[2] + n[3];
									if (opQ[16].Count()<3 && Math.Abs(result)<100 ) {
										opQ[16].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" - "+n[1].ToString(fmt)+" + "+n[2].ToString(fmt)+" + "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
									}
								break;
								case "-":
								result = n[0] - n[1] + n[2] - n[3];
									if (opQ[17].Count()<3 && Math.Abs(result)<100 ) {
										opQ[17].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" - "+n[1].ToString(fmt)+" + "+n[2].ToString(fmt)+" - "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
									}
								break;
								case "*":
								result = n[0] - n[1] + n[2] * n[3];
									if (opQ[18].Count()<3 && Math.Abs(result)<100 ) {
										opQ[18].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" - "+n[1].ToString(fmt)+" + "+n[2].ToString(fmt)+" \\times "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
									}
								break;
								case "/":
								resultD = n[0] - n[1] + ((decimal)n[2] / (decimal)n[3]);
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[19].Count()<3 && Math.Abs(resultD)<100 && resultD%1==0 && count==0 ) {
										opQ[19].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" - "+n[1].ToString(fmt)+" + "+n[2].ToString(fmt)+" \\div "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+(int)resultD+"\\)");
									}
								break;
							}
						break; // 2nd switch break +-+
						case "-": 
							// 3rd switch +--
							switch(op[c]) {
								case "+":
								result = n[0] - n[1] - n[2] + n[3];
									if (opQ[20].Count()<3 && Math.Abs(result)<100 ) {
										opQ[20].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" - "+n[1].ToString(fmt)+" - "+n[2].ToString(fmt)+" + "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
									}
								break;
								case "-":
								result = n[0] - n[1] - n[2] - n[3];
									if (opQ[21].Count()<3 && Math.Abs(result)<100 ) {
										opQ[21].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" - "+n[1].ToString(fmt)+" - "+n[2].ToString(fmt)+" - "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
									}
								break;
								case "*":
								result = n[0] - n[1] - n[2] * n[3];
									if (opQ[22].Count()<3 && Math.Abs(result)<100 ) {
										opQ[22].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" - "+n[1].ToString(fmt)+" - "+n[2].ToString(fmt)+" \\times "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
									}
								break;
								case "/":
								resultD = n[0] - n[1] - ((decimal)n[2] / (decimal)n[3]);
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[23].Count()<3 && Math.Abs(resultD)<100 && resultD%1==0 && count==0 ) {
										opQ[23].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" - "+n[1].ToString(fmt)+" - "+n[2].ToString(fmt)+" \\div "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+(int)resultD+"\\)");
									}
								break;
							}
						break; // 2nd switch break +--
						case "*":
							// 3rd switch +-*
							switch(op[c]) {
								case "+":
								result = n[0] - n[1] * n[2] + n[3];
									if (opQ[24].Count()<3 && Math.Abs(result)<100 ) {
										opQ[24].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" - "+n[1].ToString(fmt)+" \\times "+n[2].ToString(fmt)+" + "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
									}
								break;
								case "-":
								result = n[0] - n[1] * n[2] - n[3];
									if (opQ[25].Count()<3 && Math.Abs(result)<100 ) {
										opQ[25].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" - "+n[1].ToString(fmt)+" \\times "+n[2].ToString(fmt)+" - "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
									}
								break;
								case "*":
								result = n[0] - n[1] * n[2] * n[3];
									if (opQ[26].Count()<3 && Math.Abs(result)<100 ) {
										opQ[26].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" - "+n[1].ToString(fmt)+" \\times "+n[2].ToString(fmt)+" \\times "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
									}
								break;
								case "/":
								resultD = n[0] - ((decimal) (n[1] * n[2]) / (decimal)n[3]);
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[27].Count()<3 && Math.Abs(resultD)<100 && resultD%1==0 && count==0 ) {
										opQ[27].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" - "+n[1].ToString(fmt)+" \\times "+n[2].ToString(fmt)+" \\div "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+(int)resultD+"\\)");
									}
								break;
							}
						break; // 2nd switch break +-*
						case "/":
							// 3rd switch +-/
							switch(op[c]) {
								case "+":
								resultD = n[0] - ( (decimal)n[1] / (decimal)n[2]) + n[3];
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[28].Count()<3 && Math.Abs(resultD)<100 && resultD%1==0 && count==0 ) {
										opQ[28].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" - "+n[1].ToString(fmt)+" \\div "+n[2].ToString(fmt)+" + "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+resultD+"\\)");
									}
								break;
								case "-":
								resultD = n[0] - ((decimal) n[1] /(decimal) n[2]) - n[3];
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[29].Count()<3 && Math.Abs(resultD)<100 && resultD%1==0 && count==0 ) {
										opQ[29].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" - "+n[1].ToString(fmt)+" \\div "+n[2].ToString(fmt)+" - "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+resultD+"\\)");
									}
								break;
								case "*":
								resultD = n[0] - ((decimal) n[1] /(decimal) n[2] * n[3]);
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[30].Count()<3 && Math.Abs(resultD)<100 && resultD%1==0 && count==0 ) {
										opQ[30].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" - "+n[1].ToString(fmt)+" \\div "+n[2].ToString(fmt)+" \\times "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+resultD+"\\)");
									}
								break;
								case "/":
								resultD = n[0] -  ((decimal)n[1] / (decimal)n[2]) / (decimal)n[3];
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[31].Count()<3 && Math.Abs(resultD)<100 && resultD%1==0 && count==0 ) {
										opQ[31].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" - "+n[1].ToString(fmt)+" \\div "+n[2].ToString(fmt)+" \\div "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+(int)resultD+"\\)");
									}
								break;
							}
						break; // 2nd switch break +-/
					}
				break; // 1st switch break +-
				case "*":
					//2nd switch +*
					switch(op[b]) {
						case "+":
							// 3rd switch +*+
							switch(op[c]) {
								case "+":
								result = n[0] * n[1] + n[2] + n[3];
									if (opQ[32].Count()<3 && Math.Abs(result)<100 ) {
										opQ[32].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\times "+n[1].ToString(fmt)+" + "+n[2].ToString(fmt)+" + "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
									}
								break;
								case "-":
								result = n[0] * n[1] + n[2] - n[3];
									if (opQ[33].Count()<3 && Math.Abs(result)<100 ) {
										opQ[33].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\times "+n[1].ToString(fmt)+" + "+n[2].ToString(fmt)+" - "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
									}
								break;
								case "*":
								result = n[0] * n[1] + n[2] * n[3];
									if (opQ[34].Count()<3 && Math.Abs(result)<100 ) {
										opQ[34].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\times "+n[1].ToString(fmt)+" + "+n[2].ToString(fmt)+" \\times "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
									}
								break;
								case "/":
								resultD = n[0] * n[1] + ((decimal) n[2] / (decimal) n[3]);
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[35].Count()<3 && Math.Abs(resultD)<100 && resultD%1==0 && count==0 ) {
										opQ[35].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\times "+n[1].ToString(fmt)+" + "+n[2].ToString(fmt)+" \\div "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+(int)resultD+"\\)");
									}
								break;
							}
						break; // 2nd switch break +*+
						case "-": 
							// 3rd switch +*-
							switch(op[c]) {
								case "+":
								result = n[0] * n[1] - n[2] + n[3];
									if (opQ[36].Count()<3 && Math.Abs(result)<100 ) {
										opQ[36].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\times "+n[1].ToString(fmt)+" - "+n[2].ToString(fmt)+" + "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
									}
								break;
								case "-":
								result = n[0] * n[1] - n[2] - n[3];
									if (opQ[37].Count()<3 && Math.Abs(result)<100 ) {
										opQ[37].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\times "+n[1].ToString(fmt)+" - "+n[2].ToString(fmt)+" - "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
									}
								break;
								case "*":
								result = n[0] * n[1] - n[2] * n[3];
									if (opQ[38].Count()<3 && Math.Abs(result)<100 ) {
										opQ[38].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\times "+n[1].ToString(fmt)+" - "+n[2].ToString(fmt)+" \\times "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
									}
								break;
								case "/":
								resultD = n[0] * n[1] - ((decimal) n[2] / (decimal) n[3]);
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[39].Count()<3 && Math.Abs(resultD)<100 && resultD%1==0 && count==0 ) {
										opQ[39].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\times "+n[1].ToString(fmt)+" - "+n[2].ToString(fmt)+" \\div "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+(int)resultD+"\\)");
									}
								break;
							}
						break; // 2nd switch break +*-
						case "*":
							// 3rd switch +**
							switch(op[c]) {
								case "+":
								result = n[0] * n[1] * n[2] + n[3];
									if (opQ[40].Count()<3 && Math.Abs(result)<100 ) {
										opQ[40].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\times "+n[1].ToString(fmt)+" \\times "+n[2].ToString(fmt)+" + "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
									}
								break;
								case "-":
								result = n[0] * n[1] * n[2] - n[3];
									if (opQ[41].Count()<3 && Math.Abs(result)<100 ) {
										opQ[41].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\times "+n[1].ToString(fmt)+" \\times "+n[2].ToString(fmt)+" - "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
									}
								break;
								case "*":
								result = n[0] * n[1] * n[2] * n[3];
									if (opQ[42].Count()<3 && Math.Abs(result)<100 ) {
										opQ[42].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\times "+n[1].ToString(fmt)+" \\times "+n[2].ToString(fmt)+" \\times "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+result+"\\)");
									}
								break;
								case "/":
								resultD = ((decimal) n[0] * n[1] * n[2] / (decimal) n[3]);
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[43].Count()<3 && Math.Abs(resultD)<100 && resultD%1==0 && count==0 ) {
										opQ[43].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\times "+n[1].ToString(fmt)+" \\times "+n[2].ToString(fmt)+" \\div "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+(int)resultD+"\\)");
									}
								break;
							}
						break; // 2nd switch break +**
						case "/":
							// 3rd switch +*/
							switch(op[c]) {
								case "+":
								resultD = ((decimal) n[0] * n[1] / (decimal) n[2]) + n[3];
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[44].Count()<3 && Math.Abs(resultD)<100 && resultD%1==0 && count==0 ) {
										opQ[44].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\times "+n[1].ToString(fmt)+" \\div "+n[2].ToString(fmt)+" + "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+resultD+"\\)");
									}
								break;
								case "-":
								resultD = ((decimal) n[0] * n[1] / (decimal) n[2]) - n[3];
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[45].Count()<3 && Math.Abs(resultD)<100 && resultD%1==0 && count==0 ) {
										opQ[45].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\times "+n[1].ToString(fmt)+" \\div "+n[2].ToString(fmt)+" - "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+resultD+"\\)");
									}
								break;
								case "*":
								resultD = (decimal) n[0] * (decimal) n[1] / (decimal) n[2] * (decimal) n[3];
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[46].Count()<3 && Math.Abs(resultD)<100 && resultD%1==0 && count==0 ) {
										opQ[46].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\times "+n[1].ToString(fmt)+" \\div "+n[2].ToString(fmt)+" \\times "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+resultD+"\\)");
									}
								break;
								case "/":
								resultD = ((decimal) (n[0] * n[1]) / (decimal) n[2] / (decimal) n[3]);
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[47].Count()<3 && Math.Abs(resultD)<100 && resultD%1==0 && count==0 ) {
										opQ[47].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\times "+n[1].ToString(fmt)+" \\div "+n[2].ToString(fmt)+" \\div "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+(int)resultD+"\\)");
									}
								break;
							}
						break; // 2nd switch break +*/
					}
				break; // 1st switch break +*
				case "/":
					//2nd switch +/
					switch(op[b]) {
						case "+":
							// 3rd switch +/+
							switch(op[c]) {
								case "+":
								resultD = ((decimal) n[0] / (decimal) n[1]) + n[2] + n[3];
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[48].Count()<3 && Math.Abs(resultD)<100 && resultD%1==0 && count==0 ) {
										opQ[48].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\div "+n[1].ToString(fmt)+" + "+n[2].ToString(fmt)+" + "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+resultD+"\\)");
									}
								break;
								case "-":
								resultD = ((decimal) n[0] / (decimal) n[1]) + n[2] - n[3];
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[49].Count()<3 && Math.Abs(resultD)<100 && resultD%1==0 && count==0 ) {
										opQ[49].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\div "+n[1].ToString(fmt)+" + "+n[2].ToString(fmt)+" - "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+resultD+"\\)");
									}
								break;
								case "*":
								resultD = ((decimal) n[0] / (decimal) n[1]) + n[2] * n[3];
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[50].Count()<3 && Math.Abs(resultD)<100 && resultD%1==0 && count==0 ) {
										opQ[50].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\div "+n[1].ToString(fmt)+" + "+n[2].ToString(fmt)+" \\times "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+resultD+"\\)");
									}
								break;
								case "/":
								resultD = ((decimal) n[0] / (decimal) n[1]) + ((decimal) n[2] / (decimal) n[3]);
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[51].Count()<3 && Math.Abs(resultD)<100 && resultD%1==0 && count==0 ) {
										opQ[51].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\div "+n[1].ToString(fmt)+" + "+n[2].ToString(fmt)+" \\div "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+(int)resultD+"\\)");
									}
								break;
							}
						break; // 2nd switch break +/+
						case "-": 
							// 3rd switch +/-
							switch(op[c]) {
								case "+":
								resultD = ((decimal) n[0] / (decimal) n[1]) - n[2] + n[3];
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[52].Count()<3 && count==0 && Math.Abs(resultD)<100 ) {
										opQ[52].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\div "+n[1].ToString(fmt)+" - "+n[2].ToString(fmt)+" + "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+resultD+"\\)");
									}
								break;
								case "-":
								resultD = ((decimal) n[0] / (decimal) n[1]) - n[2] - n[3];
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[53].Count()<3 && count==0 && Math.Abs(resultD)<100 ) {
										opQ[53].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\div "+n[1].ToString(fmt)+" - "+n[2].ToString(fmt)+" - "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+resultD+"\\)");
									}
								break;
								case "*":
								resultD = ((decimal) n[0] / (decimal) n[1]) - n[2] * n[3];
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[54].Count()<3 && count==0 && Math.Abs(resultD)<100 ) {
										opQ[54].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\div "+n[1].ToString(fmt)+" - "+n[2].ToString(fmt)+" \\times "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+resultD+"\\)");
									}
								break;
								case "/":
								resultD = ((decimal) n[0] / (decimal) n[1]) - ((decimal) n[2] / (decimal) n[3]);
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[55].Count()<3 && Math.Abs(resultD)<100 && resultD%1==0 && count==0 ) {
										opQ[55].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\div "+n[1].ToString(fmt)+" - "+n[2].ToString(fmt)+" \\div "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+(int)resultD+"\\)");
									}
								break;
							}
						break; // 2nd switch break +/-
						case "*":
							// 3rd switch +/*
							switch(op[c]) {
								case "+":
								resultD = ((decimal) n[0] / (decimal) n[1] * n[2]) + n[3];
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[56].Count()<3 && count==0 && Math.Abs(resultD)<100 ) {
										opQ[56].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\div "+n[1].ToString(fmt)+" \\times "+n[2].ToString(fmt)+" + "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+resultD+"\\)");
									}
								break;
								case "-":
								resultD = ((decimal) n[0] / (decimal) n[1] * n[2]) - n[3];
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[57].Count()<3 && count==0 && Math.Abs(resultD)<100 ) {
										opQ[57].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\div "+n[1].ToString(fmt)+" \\times "+n[2].ToString(fmt)+" - "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+resultD+"\\)");
									}
								break;
								case "*":
								resultD = ((decimal) n[0] / (decimal) n[1] * n[2] * n[3]);
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[58].Count()<3 && count==0 && Math.Abs(resultD)<100 ) {
										opQ[58].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\div "+n[1].ToString(fmt)+" \\times "+n[2].ToString(fmt)+" \\times "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+resultD+"\\)");
									}
								break;
								case "/":
								resultD = ((decimal) n[0] / (decimal) n[1] * (decimal) n[2] / (decimal) n[3]);
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[59].Count()<3 && Math.Abs(resultD)<100 && resultD%1==0 && count==0 ) {
										opQ[59].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\div "+n[1].ToString(fmt)+" \\times "+n[2].ToString(fmt)+" \\div "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+(int)resultD+"\\)");
									}
								break;
							}
						break; // 2nd switch break +/*
						case "/":
							// 3rd switch +//
							switch(op[c]) {
								case "+":
								resultD = ((decimal) n[0] / (decimal) n[1] / (decimal) n[2]) + n[3];
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[60].Count()<3 && count==0 && Math.Abs(resultD)<100 ) {
										opQ[60].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\div "+n[1].ToString(fmt)+" \\div "+n[2].ToString(fmt)+" + "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+resultD+"\\)");
									}
								break;
								case "-":
								resultD = ((decimal) n[0] / (decimal) n[1] / (decimal) n[2]) - n[3];
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[61].Count()<3 && count==0 && Math.Abs(resultD)<100 ) {
										opQ[61].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\div "+n[1].ToString(fmt)+" \\div "+n[2].ToString(fmt)+" - "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+resultD+"\\)");
									}
								break;
								case "*":
								resultD = ((decimal) n[0] / (decimal) n[1] / (decimal) n[2] * n[3]);
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[62].Count()<3 && count==0 && Math.Abs(resultD)<100 ) {
										opQ[62].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\div "+n[1].ToString(fmt)+" \\div "+n[2].ToString(fmt)+" \\times "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+resultD+"\\)");
									}
								break;
								case "/":
								resultD = ((decimal) n[0] / (decimal) n[1] / (decimal) n[2] / (decimal) n[3]);
								count = BitConverter.GetBytes(decimal.GetBits(resultD)[3])[2];
									if (opQ[63].Count()<3 && Math.Abs(resultD)<100 && resultD%1==0 && count==0 ) {
										opQ[63].Add(" ");
										questions.Add("        \\item \\(\\mathmakebox[4.25cm][l]{"+n[0].ToString(fmt)+" \\div "+n[1].ToString(fmt)+" \\div "+n[2].ToString(fmt)+" \\div "+n[3].ToString(fmt)+" }=\\underline{\\hspace{2cm}}\\)"+(int)resultD+"\\)");
									}
								break;
							}
						break; // 2nd switch break +//
					}
				break; // 1st switch break +/
                    
                } // end switch
                
            } // end while 
            
            totalQ = questions.ToList();
            
            
            totalQ.Shuffle();
            string title1 = "Order of Operations";
            string title2 = "Directed Numbers (Medium)";
            string exerciseTitle = "Calculate the following questions";
            Print(totalQ, title2, exerciseTitle, 20);
            PrintAnswerKey(totalQ, title2, 20);
            
        }
        
        /*****************************************************
        /////////////////////LATEX CODES//////////////////////
        *****************************************************/
        
        public static void PrintArithmetic<T>(List<T> list, string title) {
        
        //string title = "Title ()";
        //string exerciseTitle = "Instructions";
        //int m=0;
        //int i_final=30000;
        //int incre= 0;
        
        string[] latex = new string[] {"\\fontsize{16pt}{25pt}\\selectfont", "        \\setlength\\itemsep{10pt}"};
        
        string[] op = new string[2] {"(", ")("};
        //string end = ")=\\)";
        
        for (int i=0; i<list.Count(); i++){
                    
                    if(i==0){
    
                        Console.WriteLine("\\begin{figure}[ht!]");
                        Console.WriteLine("\\vspace{-23mm}\\hspace*{-33mm}\\includegraphics[scale=0.9]{Logo.jpg}");
                        Console.WriteLine("\\end{figure}");
                        Console.WriteLine();
                        Console.WriteLine("\\vspace{-15mm}\\hspace*{-10mm}\\begingroup");
                        Console.WriteLine("\\centering");
                        Console.WriteLine("\\LARGE "+title+" \\\\[0.5em]");
                        Console.WriteLine("\\endgroup");
                        Console.WriteLine();
                        Console.WriteLine(latex[0]);
                        //Console.WriteLine("\\subsection{Exercise "+(i/30+1)+". "+exerciseTitle+".}");
                        Console.WriteLine("\\begin{multicols}{2}");
                        Console.WriteLine("    \\begin{enumerate}[label=\\arabic*)]");
                        Console.WriteLine(latex[1]);
    
                    
                    }
                    Console.WriteLine(list[i]);
                   
                    if (i!=0 && (i+1)%30==0){
                      
                        
                        Console.WriteLine("    \\end{enumerate}");
                        Console.WriteLine("\\end{multicols}");
                        Console.WriteLine();
                        Console.WriteLine("\\newpage");
                        Console.WriteLine();
                        Console.WriteLine("\\begin{figure}[ht!]");
                        Console.WriteLine("\\vspace{-23mm}\\hspace*{-33mm}\\includegraphics[scale=0.9]{Logo.jpg}");
                        Console.WriteLine("\\end{figure}");
                        Console.WriteLine();
                        Console.WriteLine("\\vspace{-15mm}\\hspace*{-10mm}\\begingroup");
                        Console.WriteLine("\\centering");
                        Console.WriteLine("\\LARGE "+title+" \\\\[0.5em]");
                        Console.WriteLine("\\endgroup");
                        Console.WriteLine();
                        //Console.WriteLine("\\subsection{Exercise "+((i+30)/30+1)+". "+exerciseTitle+".}");
                        Console.WriteLine("\\begin{multicols}{2}");
                        Console.WriteLine("    \\begin{enumerate}[label=\\arabic*)]");
                        Console.WriteLine(latex[1]);
                    }
                }
        }
        
        public static void PrintArithmetic<T>(List<T> list, string title, int questions) {
        
        //string title = "Title ()";
        //string exerciseTitle = "Instructions";
        //int m=0;
        //int i_final=30000;
        //int incre= 0;
        
        string[] latex = new string[] {"\\fontsize{16pt}{25pt}\\selectfont", "        \\setlength\\itemsep{10pt}"};
        
        string[] op = new string[2] {"(", ")("};
        //string end = ")=\\)";
        
        for (int i=0; i<list.Count(); i++){
                    
                    if(i==0){
    
                        Console.WriteLine("\\begin{figure}[ht!]");
                        Console.WriteLine("\\vspace{-23mm}\\hspace*{-33mm}\\includegraphics[scale=0.9]{Logo.jpg}");
                        Console.WriteLine("\\end{figure}");
                        Console.WriteLine();
                        Console.WriteLine("\\vspace{-15mm}\\hspace*{-10mm}\\begingroup");
                        Console.WriteLine("\\centering");
                        Console.WriteLine("\\LARGE "+title+" \\\\[0.5em]");
                        Console.WriteLine("\\endgroup");
                        Console.WriteLine();
                        Console.WriteLine(latex[0]);
                        //Console.WriteLine("\\subsection{Exercise "+(i/questions+1)+". "+exerciseTitle+".}");
                        Console.WriteLine("\\begin{multicols}{2}");
                        Console.WriteLine("    \\begin{enumerate}[label=\\arabic*)]");
                        Console.WriteLine(latex[1]);
    
                    
                    }
                    Console.WriteLine(list[i]);
                   
                    if (i!=0 && (i+1)%questions==0){
                      
                        
                        Console.WriteLine("    \\end{enumerate}");
                        Console.WriteLine("\\end{multicols}");
                        Console.WriteLine();
                        Console.WriteLine("\\newpage");
                        Console.WriteLine();
                        Console.WriteLine("\\begin{figure}[ht!]");
                        Console.WriteLine("\\vspace{-23mm}\\hspace*{-33mm}\\includegraphics[scale=0.9]{Logo.jpg}");
                        Console.WriteLine("\\end{figure}");
                        Console.WriteLine();
                        Console.WriteLine("\\vspace{-15mm}\\hspace*{-10mm}\\begingroup");
                        Console.WriteLine("\\centering");
                        Console.WriteLine("\\LARGE "+title+" \\\\[0.5em]");
                        Console.WriteLine("\\endgroup");
                        Console.WriteLine();
                        //Console.WriteLine("\\subsection{Exercise "+((i+questions)/questions+1)+". "+exerciseTitle+".}");
                        Console.WriteLine("\\begin{multicols}{2}");
                        Console.WriteLine("    \\begin{enumerate}[label=\\arabic*)]");
                        Console.WriteLine(latex[1]);
                    }
                }
        }
        
        public static void Print<T>(List<T> list, string title, string exerciseTitle) {
        
        //string title = "Title ()";
        //string exerciseTitle = "Instructions";
        //int m=0;
        //int i_final=30000;
        //int incre= 0;
        
        string[] latex = new string[] {"\\fontsize{12pt}{16pt}\\selectfont", "        \\setlength\\itemsep{2em}"};
        
        string[] op = new string[2] {"(", ")("};
        //string end = ")=\\)";
        
        for (int i=0; i<list.Count(); i++){
                    
                    if(i==0){
    
                        Console.WriteLine("\\begin{figure}[ht!]");
                        Console.WriteLine("\\vspace{-23mm}\\hspace*{-23mm}\\includegraphics[scale=0.9]{Logo.jpg}");
                        Console.WriteLine("\\end{figure}");
                        Console.WriteLine();
                        Console.WriteLine("\\vspace{-15mm}\\begingroup");
                        Console.WriteLine("\\centering");
                        Console.WriteLine("\\LARGE "+title+" \\\\[0.5em]");
                        Console.WriteLine("\\endgroup");
                        Console.WriteLine();
                        Console.WriteLine(latex[0]);
                        Console.WriteLine("\\subsection{Exercise "+(i/30+1)+". "+exerciseTitle+".}");
                        Console.WriteLine("\\begin{multicols}{2}");
                        Console.WriteLine("    \\begin{enumerate}[label=\\arabic*)]");
                        Console.WriteLine(latex[1]);
    
                    
                    }
                    Console.WriteLine(list[i]);
                   
                    if (i!=0 && (i+1)%30==0){
                      
                        
                        Console.WriteLine("    \\end{enumerate}");
                        Console.WriteLine("\\end{multicols}");
                        Console.WriteLine();
                        Console.WriteLine("\\newpage");
                        Console.WriteLine();
                        Console.WriteLine("\\begin{figure}[ht!]");
                        Console.WriteLine("\\vspace{-23mm}\\hspace*{-23mm}\\includegraphics[scale=0.9]{Logo.jpg}");
                        Console.WriteLine("\\end{figure}");
                        Console.WriteLine();
                        Console.WriteLine("\\vspace{-15mm}\\begingroup");
                        Console.WriteLine("\\centering");
                        Console.WriteLine("\\LARGE "+title+" \\\\[0.5em]");
                        Console.WriteLine("\\endgroup");
                        Console.WriteLine();
                        Console.WriteLine(latex[0]);
                        Console.WriteLine("\\subsection{Exercise "+((i+30)/30+1)+". "+exerciseTitle+".}");
                        Console.WriteLine("\\begin{multicols}{2}");
                        Console.WriteLine("    \\begin{enumerate}[label=\\arabic*)]");
                        Console.WriteLine(latex[1]);
                    }
                }
        }
        
        public static void PrintAnswerKey<T>(List<T> list, string title, int questions) {
            
            int p = 5; // number of pages before new page
            Console.WriteLine();
            Console.WriteLine("%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%");
            Console.WriteLine();
            Console.WriteLine("\\newpage");
            Console.WriteLine();
            Console.WriteLine("\\newgeometry{");
            Console.WriteLine(" a4paper,");
            Console.WriteLine(" total={170mm,257mm},");
            Console.WriteLine(" left=15mm,"); // 10mm for fractions
            Console.WriteLine(" top=20mm,");
            Console.WriteLine(" bottom=20mm,"); 
            Console.WriteLine(" right=15mm"); //10mm for fractions
            Console.WriteLine(" }");
            Console.WriteLine("\\fontsize{10pt}{10pt}\\selectfont");
            Console.WriteLine();
            Console.WriteLine("\\section{"+title+" Answer Key}");
            
            for (int i=0; i<list.Count(); i++){
                    
                if(i==0){

Console.WriteLine("\\textbf{p"+(i/questions+1)+"}");
                    Console.WriteLine();
                    Console.WriteLine("\\begin{multicols}{5}");
                    Console.WriteLine("    \\begin{enumerate}[label=\\arabic*)]");

}
                                      
                Console.WriteLine(list[i]);

if (i!=0 && (i+1)%(questions*p)==0){

Console.WriteLine("    \\end{enumerate}");
                    Console.WriteLine("\\end{multicols}");
                    Console.WriteLine();
                    Console.WriteLine("\\newpage");
                    Console.WriteLine();
                    Console.WriteLine("\\textbf{p"+((i+questions)/questions+1)+"}");
                    Console.WriteLine();
                    Console.WriteLine("\\begin{multicols}{5}");
                    Console.WriteLine("    \\begin{enumerate}[label=\\arabic*)]");
                }
                
                if (i!=0 && (i+1)%questions==0 && (i+1)%(questions*p)!=0){

Console.WriteLine("    \\end{enumerate}");
                    Console.WriteLine("\\end{multicols}");
                    Console.WriteLine();
                    Console.WriteLine("\\textbf{p"+((i+questions)/questions+1)+"}");
                    Console.WriteLine("\\begin{multicols}{5}");
                    Console.WriteLine("    \\begin{enumerate}[label=\\arabic*)]");
                }
                
                
            }
        }
        
        public static void Print<T>(List<T> list, string title, string exerciseTitle, int questions) {
        
            //string title = "Title ()";
            //string exerciseTitle = "Instructions";
            //int m=0;
            //int i_final=30000;
            //int incre= 0;

string[] latex = new string[] {"\\fontsize{12pt}{16pt}\\selectfont", "        \\setlength\\itemsep{2em}"};

string[] op = new string[2] {"(", ")("};
            //string end = ")=\\)";

for (int i=0; i<list.Count(); i++){
                    
                if(i==0){

Console.WriteLine("\\begin{figure}[ht!]");
                    Console.WriteLine("\\vspace{-23mm}\\hspace*{-23mm}\\includegraphics[scale=0.9]{Logo.jpg}");
                    Console.WriteLine("\\end{figure}");
                    Console.WriteLine();
                    Console.WriteLine("\\vspace{-15mm}\\begingroup");
                    Console.WriteLine("\\centering");
                    Console.WriteLine("\\LARGE "+title+" \\\\[0.5em]");
                    Console.WriteLine("\\endgroup");
                    Console.WriteLine();
                    Console.WriteLine(latex[0]);
                    Console.WriteLine("\\subsection{Exercise "+(i/questions+1)+". "+exerciseTitle+".}");
                    Console.WriteLine("\\begin{multicols}{2}");
                    Console.WriteLine("    \\begin{enumerate}[label=\\arabic*)]");
                    Console.WriteLine(latex[1]);

}
                Console.WriteLine(list[i]);

if (i!=0 && (i+1)%questions==0){

Console.WriteLine("    \\end{enumerate}");
                    Console.WriteLine("\\end{multicols}");
                    Console.WriteLine();
                    Console.WriteLine("\\newpage");
                    Console.WriteLine();
                    Console.WriteLine("\\begin{figure}[ht!]");
                    Console.WriteLine("\\vspace{-23mm}\\hspace*{-23mm}\\includegraphics[scale=0.9]{Logo.jpg}");
                    Console.WriteLine("\\end{figure}");
                    Console.WriteLine();
                    Console.WriteLine("\\vspace{-15mm}\\begingroup");
                    Console.WriteLine("\\centering");
                    Console.WriteLine("\\LARGE "+title+" \\\\[0.5em]");
                    Console.WriteLine("\\endgroup");
                    Console.WriteLine();
                    Console.WriteLine(latex[0]);
                    Console.WriteLine("\\subsection{Exercise "+((i+questions)/questions+1)+". "+exerciseTitle+".}");
                    Console.WriteLine("\\begin{multicols}{2}");
                    Console.WriteLine("    \\begin{enumerate}[label=\\arabic*)]");
                    Console.WriteLine(latex[1]);
                }
            }
        }
        
        public static void PrintFraction<T>(List<T> list, string title, string exerciseTitle) {
        
        //string title = "Title ()";
        //string exerciseTitle = "Instructions";
        //int m=0;
        //int i_final=30000;
        //int incre= 0;
        
        string[] latex = new string[] {"\\fontsize{12pt}{16pt}\\selectfont", "        \\setlength\\itemsep{1.8em}"};
        
        string[] op = new string[2] {"(", ")("};
        //string end = ")=\\)";
        
        for (int i=0; i<list.Count(); i++){
                    
                    if(i==0){
    
                        Console.WriteLine("\\begin{figure}[ht!]");
                        Console.WriteLine("\\vspace{-23mm}\\hspace*{-23mm}\\includegraphics[scale=0.9]{Logo.jpg}");
                        Console.WriteLine("\\end{figure}");
                        Console.WriteLine();
                        Console.WriteLine("\\vspace{-15mm}\\hspace*{-10mm}\\begingroup");
                        Console.WriteLine("\\centering");
                        Console.WriteLine("\\LARGE "+title+" \\\\[0.5em]");
                        Console.WriteLine("\\endgroup");
                        Console.WriteLine();
                        //Console.WriteLine(latex[0]);
                        Console.WriteLine("\\vspace{-5mm}\\subsection{Exercise "+(i/20+1)+". "+exerciseTitle+".}");
                        //Console.WriteLine("\\begin{tasks}(2)");
                        Console.WriteLine("\\begin{multicols}{2}");
                        Console.WriteLine("    \\begin{enumerate}[label=\\arabic*)]");
                        Console.WriteLine(latex[1]);
    
                    
                    }
                    Console.WriteLine(list[i]);
                   
                    if (i!=0 && (i+1)%20==0){
                      
                        
                        //Console.WriteLine("\\end{tasks}");
                        Console.WriteLine("    \\end{enumerate}");
                        Console.WriteLine("\\end{multicols}");
                        Console.WriteLine();
                        Console.WriteLine("\\newpage");
                        Console.WriteLine();
                        Console.WriteLine("\\begin{figure}[ht!]");
                        Console.WriteLine("\\vspace{-23mm}\\hspace*{-23mm}\\includegraphics[scale=0.9]{Logo.jpg}");
                        Console.WriteLine("\\end{figure}");
                        Console.WriteLine();
                        Console.WriteLine("\\vspace{-15mm}\\hspace*{-10mm}\\begingroup");
                        Console.WriteLine("\\centering");
                        Console.WriteLine("\\LARGE "+title+" \\\\[0.5em]");
                        Console.WriteLine("\\endgroup");
                        Console.WriteLine();
                        //Console.WriteLine(latex[0]);
                        Console.WriteLine("\\subsection{Exercise "+((i+20)/20+1)+". "+exerciseTitle+".}");
                        //Console.WriteLine("\\begin{tasks}(2)");
                        Console.WriteLine("\\begin{multicols}{2}");
                        Console.WriteLine("    \\begin{enumerate}[label=\\arabic*)]");
                        Console.WriteLine(latex[1]);
                    }
                }
        }
        
        public static long GCD(long a, long b)
        {
            return b == 0 ? a : GCD(b, a % b);
        }
        
        public static long GCD(long a, long b, long c)
        {
            return GCD(a, GCD(b,c));
        }
        
        
        
        public static int lcm(int a, int b) {

int lcm;

int a_r=a;
             int b_r=b;
             int d=max(a_r,b_r);
             
             while(d>1) {
                 
                 if (a_r%d==0 && b_r%d==0) {
                     
                     int a_r_temp=a_r/d;
                     int b_r_temp=b_r/d;
                     a_r=a_r_temp;
                     b_r=b_r_temp;
                     lcm=d*a_r*b_r;
                     break;
                     
                 }
               
                 d--;

}
             
             return d*a_r*b_r;
             //Console.WriteLine("LCM({0},{1}): {2}", a,b,lcm);
         }

public static int lcm(int a, int b, int c) {
     
            return lcm(a,lcm(b,c));
            
        }
        
        public static int max(int a, int b) {
            
            if (a>b){
                return a;
            }
            else if (b>a){
                return b;
            }
            else {
                return a;
            }
        }
        
        public static int max(int a, int b, int c) {

return max(a,max(b,c));
        }

public static int min(int a, int b) {
            
            if (a>b){
                return b;
            }
            else if (b>a){
                return a;
            }
            else {
                return a;
            }
        }
        
        public static int min(int a, int b, int c) {

return min(a,min(b,c));
        }

public static void SimplifyRatio(int ratio1, int ratio2, int ratio3) {
            
            int divisor;
            if (ratio1>ratio2 && ratio1>ratio3) {
                divisor = ratio1;
             }
            else if (ratio2>ratio1 && ratio2>ratio3) {
                divisor = ratio2;
            }
            else divisor = ratio3;

int ratio1_reduce = ratio1;
            int ratio2_reduce = ratio2;
            int ratio3_reduce = ratio3;
            while (divisor!=1) {

if(ratio1_reduce%divisor==0 && ratio2_reduce%divisor==0 && ratio3_reduce%divisor==0){
                int ratio1_reduce_temp = ratio1_reduce/divisor;
                int ratio2_reduce_temp = ratio2_reduce/divisor;
                int ratio3_reduce_temp = ratio3_reduce/divisor;

ratio1_reduce = ratio1_reduce_temp;
                ratio2_reduce = ratio2_reduce_temp;
                ratio3_reduce = ratio3_reduce_temp;
                divisor--;
            }
            else divisor--;

}
            
            Console.WriteLine(ratio1+":"+ratio2+":"+ratio3+" = "+ratio1_reduce+":"+ratio2_reduce+":"+ratio3_reduce);
        }
    
    }
    
    public static class Rand
    { 
        /// <summary> 
        /// Random number generator used to generate seeds, 
        /// which are then used to create new random number 
        /// generators on a per-thread basis. 
        /// </summary> 
        private static readonly Random globalRandom = new Random(); 
        private static readonly object globalLock = new object();

/// <summary> 
        /// Random number generator 
        /// </summary> 
        private static readonly ThreadLocal<Random> threadRandom = new ThreadLocal<Random>(NewRandom);

/// <summary> 
        /// Creates a new instance of Random. The seed is derived 
        /// from a global (static) instance of Random, rather 
        /// than time. 
        /// </summary> 
        public static Random NewRandom() 
        { 
            lock (globalLock) 
            { 
                return new Random(globalRandom.Next()); 
            } 
        }

/// <summary> 
        /// Returns an instance of Random which can be used freely 
        /// within the current thread. 
        /// </summary> 
        public static Random Instance { get { return threadRandom.Value; } }

/// <summary>See <see cref="Random.Next()" /></summary> 
        public static int Next() 
        { 
            return Instance.Next(); 
        }

/// <summary>See <see cref="Random.Next(int)" /></summary> 
        public static int Next(int maxValue) 
        { 
            return Instance.Next(maxValue); 
        }

/// <summary>See <see cref="Random.Next(int, int)" /></summary> 
        public static int Next(int minValue, int maxValue) 
        { 
            return Instance.Next(minValue, maxValue); 
        }
		
		public static int NextPM(int minValue, int maxValue) 
        { 
		// positive
			if (Rand.Next(0,2)==0) {
				return Instance.Next(minValue, maxValue); 
			}
			
			else
            return -Instance.Next(minValue, maxValue); 
        }

/// <summary>See <see cref="Random.NextDouble()" /></summary> 
        public static double NextDouble() 
        { 
            return Instance.NextDouble(); 
        }

/// <summary>See <see cref="Random.NextBytes(byte[])" /></summary> 
        public static void NextBytes(byte[] buffer) 
        { 
            Instance.NextBytes(buffer); 
        } 
        
        public static double NextD(double minValue, double maxValue) {
            
            return Instance.NextDouble()*(maxValue-minValue)+minValue;
        }
    } 
}

namespace ShuffleExtension {
    
    public static class ShuffleExtend {
        
        //private static readonly Random rnd = new Random();
        
        public static void Shuffle<T>(this IList<T> list) {
        
            int n = list.Count; 
       
            while (n > 1) {
            
                int k = (Rextester.Rand.Next(0, n) % n);
                n--;
                T value = list[k];
                list[k] = list[n];    
                list[n] = value;
        
            }
            
        }
    }
}

namespace CountExtension {
    
    public static class CountExtension {
        
        public static int Count(this int n) {
            //return (Value == 0 ? 1 : ((int)Math.Floor(Math.Log10(Math.Abs(Value))) + 1));
            return (n == 0 ? 1 : (int)Math.Log10(Math.Abs(n)) + 1);
        
        } 
        
    }
}

namespace MathSpace {

public struct Fraction
    {
        public long num;
        public long denom;
		public long integer;
        public long Num
        {
            get
            {
                return num;
            }
            set
            {
                num = value;
            }
        }
        public long Denom
        {
            get
            {
                return denom;
            }
            set
            {
                denom = value;
            }
        }
		public long Integer
		{
			get
			{
				return integer;
			}
			set
			{
				integer = value;
			}
		}
		
        public Fraction(int num, int denom)
        {
            // num + denom - 
            if (num > 0 && denom < 0) {
                this.num = -num;
                this.denom = Math.Abs(denom);
                this.integer = 0;
            }
            // num - denom +
            else if (num < 0 && denom > 0 ) {
                this.num = -Math.Abs(num);
                this.denom = Math.Abs(denom);
                this.integer = 0;
            }
            // both positive or negative or zero
            else {
                this.num = Math.Abs(num);
                this.denom = Math.Abs(denom);
                this.integer = 0;
            }
        }
        public Fraction(long num, long denom)
        {
            // num + denom - 
            if (num > 0 && denom < 0) {
                this.num = -num;
                this.denom = Math.Abs(denom);
                this.integer = 0;
            }
            // num - denom +
            else if (num < 0 && denom > 0 ) {
                this.num = num;
                this.denom = Math.Abs(denom);
                this.integer = 0;
            }
            // both positive or negative or zero
            else {
                this.num = Math.Abs(num);
                this.denom = Math.Abs(denom);
                this.integer = 0;
            }
        }
        public Fraction(int integer, int num, int denom)
        {
            if (num*denom<0) throw new ArgumentException("Numerator and Denominator must be positive.");
            
            // all + or only two +
            if (integer * num * denom > 0 ) {
               this.integer = Math.Abs(integer);
               this.num = Math.Abs(num);
               this.denom = Math.Abs(denom); 
            }
            // if an odd -
            else {
               this.integer = -integer;
               this.num = Math.Abs(num);
               this.denom = Math.Abs(denom); 
            }
        }
        public Fraction(long integer, long num, long denom)
        {
            if (num*denom<0) throw new ArgumentException("Numerator and Denominator must be positive.");
			 // all + or only two +
            if (integer * num * denom > 0 ) {
               this.integer = Math.Abs(integer);
               this.num = Math.Abs(num);
               this.denom = Math.Abs(denom); 
            }
            // if an odd -
            else {
               this.integer = -integer;
               this.num = Math.Abs(num);
               this.denom = Math.Abs(denom); 
            }
        }
        
        public Fraction (Fraction left, int right)
        {
            Fraction result = left/right;
            this.num = result.num;
            this.denom = result.denom;
            this.integer = 0;
        }
        
        public Fraction (int left, Fraction right)
        {
            Fraction result = left/right;
            this.num = result.num;
            this.denom = result.denom;
            this.integer = 0;
        }
        
        public Fraction (Fraction left, Fraction right)
        {
            Fraction result = left/right;
            this.num = result.num;
            this.denom = result.denom;
            this.integer = 0;
        }

public Fraction toMixed()
        {
            if (this.integer == 0 && (this.num < 0 || this.denom < 0))
            {
                return new Fraction(this.num / this.denom, Math.Abs(this.num % this.denom), Math.Abs(this.denom));
            }
            else if (this.integer == 0 && (this.num * this.denom > 0))
            {
                return new Fraction(this.num / this.denom, this.num % this.denom, this.denom);
            }
            else return new Fraction(this.integer + this.num / this.denom, this.num % this.denom, this.denom);
        }
        
        public Fraction toImproper()
        {
            if (this.integer!=0 && this.integer<0) {
                return new Fraction (-(Math.Abs(this.integer)*Math.Abs(this.denom)+Math.Abs(this.num)),Math.Abs(this.denom));
            }
            
            else if (this.integer!=0 && this.integer>0) {
                return new Fraction (Math.Abs(this.integer)*Math.Abs(this.denom)+Math.Abs(this.num),Math.Abs(this.denom));
            }
            else return new Fraction (this.num,this.denom);
        }
        
        public override string ToString()
        {
            if (this.denom == 0)
            {
                return "Div by 0";
            }
            
            // if fraction is proper or improper fraction
            if (this.denom != 1 && this.integer == 0 && this.num%this.denom!=0)
            {
                // if fraction is negative (either num or denom negative but not both)
                if ((this.num < 0 || this.denom < 0 ) && !(this.num<0 && this.denom<0) )
                {
                    this.denom = Math.Abs(this.denom);
                    return this.num + "/" + this.denom;
                }
                // if fraction is positive
                else return num + "/" + denom; // + ", " + num/denom + " " + num%denom + "/" + denom;
            }
			
			//if fraction is mixed number
			else if (this.denom != 1 && this.integer != 0 && this.num%this.denom!=0)
            {
                var new_integer = Math.Abs(this.integer) + this.num/this.denom;
                var new_num = this.num % this.denom;
                this.integer = new_integer;
                this.num = new_num;
                // if fraction is negative (either num or denom negative but not both)
                if (this.integer < 0)
                {
                    return this.integer + " " + this.num + "/" + this.denom;
                }
                // if fraction is positive
                else return this.integer + " " + this.num + "/" + this.denom;
            }

// if denom not 1 and numerator is a multiple of the denominator (ie. 4/2 ==> 2) and not mixed number (result is integer)
            else if (this.num % this.denom == 0 && this.integer==0)
            {
                return (this.num / this.denom).ToString();
            }
            
			// if denom not 1 and numerator is a multiple of the denominator (ie. 4/2 ==> 2) and mixed number (result is integer)
			else if (this.num % this.denom == 0 && this.integer!=0)
            {
                return (this.integer+(this.num / this.denom)).ToString();
            }
			
            // if denominator is 1, ie., whole number and not mixed number
			
			else if (this.integer!=0) {
				return (integer+num).ToString();
			}
			
            else return num.ToString();
			
        }

public Fraction Simplify()
        {
            int divisor = Convert.ToInt32(GCD(this.num, this.denom));
            if (this.denom != 0 && this.integer==0 && this.num >0)
            {
                return new Fraction(this.num / divisor, this.denom / divisor);
            }
            
            else if (this.denom != 0 && this.integer==0 && this.num <0)
            {
                return new Fraction(-Math.Abs(this.num / divisor), Math.Abs(this.denom / divisor));
            }
            
            else if (this.denom != 0 && this.integer!=0)
            {
                 return new Fraction(this.integer, this.num / divisor, this.denom / divisor);
                
            }
                
            else return new Fraction (this.num, this.denom);

}
        public static long GCD(long a, long b)
        {
            return b == 0 ? a : GCD(b, a % b);
        }
        
        public Fraction Reciprocal()
        {
            return new Fraction(this.Denom, this.Num);
        }

public static Fraction operator +(Fraction left, Fraction right)
        {
            Fraction result;
			if (left.integer==0 &&right.integer==0){
                result = new Fraction(left.num * right.denom + right.num * left.denom, left.denom * right.denom);
                
            }
			else { 
				//result = new Fraction((left.integer*left.denom+left.num)*right.denom+(right.integer*right.denom+right.num)*left.denom, left.denom * right.denom);
				result = (new Fraction(left.integer+right.integer, left.num * right.denom + right.num * left.denom, left.denom * right.denom)).toMixed();
			}
            return result.toMixed().Simplify();
        }

public static Fraction operator +(int left, Fraction right)
        {
            Fraction result;
            if (right.integer==0) {
                result = new Fraction(left * right.denom + right.num, right.denom);
            }
            else {
                result = (new Fraction(left+right.integer, right.num, right.denom)).toMixed();
            }
            return result.Simplify();
        }

public static Fraction operator +(Fraction left, int right)
        {
            Fraction result;
            if (left.integer==0) {
                result = new Fraction(left.num + left.denom * right, left.denom);
            }
    
            else {
                result = (new Fraction(left.integer+right, left.denom)).toMixed();
            }
            return result.Simplify();
        }
        
        public static Fraction operator -(Fraction frac)
        {
            if (frac.integer==0) {
                return new Fraction(-frac.num,frac.denom);
            }
            else return (new Fraction (-frac.integer,frac.num,frac.denom)).toMixed();
                
        }

public static Fraction operator -(Fraction left, Fraction right)
        {
            Fraction result;
            if (left.integer==0 && right.integer==0) {
                result = (new Fraction(left.num * right.denom - right.num * left.denom, left.denom * right.denom)).toMixed();
            }
            
            else {
                if (((left.integer*left.denom+left.num)/left.denom)>=((right.integer*right.denom+right.num)/right.denom)) {
                    result = (left.toImproper()-right.toImproper()).toMixed();
                }
                else result = (left.toImproper()-right.toImproper()).toMixed();
            }
            return result.Simplify();
        }

public static Fraction operator -(int left, Fraction right)
        {
            Fraction result;
            if (right.integer==0) {
                result = new Fraction(left * right.denom - right.num, right.denom);
            }
            else result = (new Fraction(left * right.denom - right.toImproper().num, right.denom)).toMixed();
            
            return result.Simplify();
        }

public static Fraction operator -(Fraction left, int right)
        {
            Fraction result;
            if (left.integer==0) {
                result = new Fraction(left.num - left.denom * right, left.denom);
            }
            // if mixed numbers
            else result = (new Fraction(left.toImproper().num - left.denom * right, left.denom)).toMixed();
            
            return result.Simplify();
        }

public static Fraction operator *(Fraction left, Fraction right)
        {
            Fraction result;
            
            if (left.integer==0 && right.integer==0){
                result = new Fraction(left.num * right.num, Math.Abs(left.denom * right.denom));
            }
            // if mixed numbers
            else result = (left.toImproper()*right.toImproper()).toMixed();
                
            return result.Simplify();
        }

public static Fraction operator *(int left, Fraction right)
        {
            Fraction result;
            if (right.integer==0){
                result = new Fraction(left * right.num, right.denom);
            }
            else result = (new Fraction(right.toImproper().num * left, right.denom)).toMixed();
            
            return result.Simplify();
        }

public static Fraction operator *(Fraction left, int right)
        {
            Fraction result;
            // if improper fraction
            if (left.integer==0){
                result = new Fraction(left.num * right, left.denom);
            }
            // if mixed numbers
            else result = (new Fraction(left.toImproper().num * right, left.denom)).toMixed();
            
            return result.Simplify();
        }

public static Fraction operator /(Fraction left, Fraction right)
        {
            Fraction result;
            if (left.integer==0 &&right.integer==0){
                result = left * right.Reciprocal();
            }
            else result = (left.toImproper() * right.toImproper().Reciprocal()).toMixed();
                
            return result.Simplify();
        }

public static Fraction operator /(int left, Fraction right)
        {
            Fraction result;
            if (right.integer==0) {
                result = left * right.Reciprocal();
            }
            else result = left * right.toImproper().Reciprocal();
            
            return result.Simplify();
        }

public static Fraction operator /(Fraction left, int right)
        {
            Fraction rightRecip = new Fraction(1,right);
            Fraction result;
            if (left.integer==0) {
                result = left * rightRecip;
            }
            else {
                result = left.toImproper() * rightRecip;
            }
            return result.Simplify();
        }

public static int LCM(int a, int b)
        {
            int lcm;
            int a_r = a;
            int b_r = b;
            int d = max(a_r, b_r);

while (d > 1)
            {
                if (a_r % d == 0 && b_r % d == 0)
                {
                    int a_r_temp = a_r / d;
                    int b_r_temp = b_r / d;
                    a_r = a_r_temp;
                    b_r = b_r_temp;
                    lcm = d * a_r * b_r;
                    break;
                }
                d--;
            }
            lcm = d * a_r * b_r;
            return lcm;
        }

public static int LCM(long a, long b)
        {
            int lcm;
            long a_r = a;
            long b_r = b;
            int d = Convert.ToInt32(max(a_r, b_r));

while (d > 1)
            {
                if (a_r % d == 0 && b_r % d == 0)
                {
                    long a_r_temp = a_r / d;
                    long b_r_temp = b_r / d;
                    a_r = a_r_temp;
                    b_r = b_r_temp;
                    lcm = Convert.ToInt32(d * a_r * b_r);
                    break;
                }
                d--;
            }
            lcm = Convert.ToInt32(d * a_r * b_r);
            return lcm;
        }

public static int max(int a, int b)
        {

if (a > b)
            {
                return a;
            }
            else if (b > a)
            {
                return b;
            }
            else
            {
                return a;
            }
        }

public static long max(long a, long b)
        {

if (a > b)
            {
                return a;
            }
            else if (b > a)
            {
                return b;
            }
            else
            {
                return a;
            }
        }
		
        public double toDeci() 
        {  
            if (this.integer==0) {
                return (double) this.num/this.denom;
            }
            else {
                return (double) (this.integer*this.denom+this.num)/this.denom;
            }
        }
        
        public static Fraction toFrac(double deci)
        {
            /*List<double> d = new List<double>();
            List<double> z = new List<double>();
            List<double> n = new List<double>();*/

double[] d = new double[6];
            double[] z = new double[6];
            double[] n = new double[6];
            z[1] = deci; //X
            d[0] = 0;
            d[1] = 1;

for (int i = 1; i < 5; i++)
            {
                z[i + 1] = 1 / (z[i] - Math.Floor(z[i]));
                d[i + 1] = d[i] * Math.Floor(z[i + 1]) + d[i - 1];
                n[i + 1] = Math.Round(z[1] * d[i + 1]);
            }
            int num, denom;
            num = (int)n[5];
            denom = (int)d[5];

return new Fraction(num, denom);
        }

public static Fraction Parse(string input)
        {
            if (String.IsNullOrWhiteSpace(input)) {
                throw new ArgumentNullException();
            }

//var instance = new Fraction();

// checks if there is more than one "/"
            if (input.IndexOf("/") != input.LastIndexOf("/")) {
                throw new ArgumentException();
            }
            //return instance;

int v;

// 
            if (input.IndexOf("/") != -1)
            {
                if (int.TryParse(input.Substring(0, input.IndexOf("/")), out v)
             && int.TryParse(input.Substring(input.IndexOf("/") + 1), out v))
                {
                    int num1 = int.Parse(input.Substring(0, input.IndexOf("/")));
                    int denom1 = int.Parse(input.Substring(input.IndexOf("/") + 1));
                    var frac = new Fraction(num1, denom1);
                    return frac;
                }
                else throw new IndexOutOfRangeException();
            }
            else // if 
            {
                if (int.TryParse(input, out v))
                {
                    return new Fraction(int.Parse(input), 1);
                }

else throw new IndexOutOfRangeException();
            }

}

public static bool TryParse(string input, out Fraction frac)
        {
            if (string.IsNullOrWhiteSpace(input))
            {
                frac = new Fraction(0, 0);
                return false;
            }

if (input.IndexOf("/") == -1 || input.IndexOf("/") != input.LastIndexOf("/"))
            {
                frac = new Fraction(0, 0);
                return false;
            }

long v;
            if (long.TryParse(input.Substring(0, input.IndexOf("/")), out v)
             && long.TryParse(input.Substring(input.IndexOf("/") + 1), out v))
            {

frac = new MathSpace.Fraction(1, 1);
                v = 1;
                return true;
            }
            else frac = new Fraction(0, 0); return false;
        }

public static Fraction ConvertFrom(object obj)
        {
            Fraction frac = new MathSpace.Fraction(0, 0);
            if (obj.GetType() == frac.GetType())
            {
                frac = (Fraction) obj;
                return frac;
            }
            else throw new NotSupportedException();
        }

public static double ConvertToDecimal(Fraction frac)
        {
            return Convert.ToDouble(frac.Num) / Convert.ToDouble(frac.Denom);
        }

public static double operator +(Fraction left, double right)
        {
            double result = ConvertToDecimal(left) + right;
            return result;
        }

public static double operator +(double left, Fraction right)
        {
            double result = left + ConvertToDecimal(right);
            return result;
        }

public static double operator -(Fraction left, double right)
        {
            double result = ConvertToDecimal(left) - right;
            return result;
        }

public static double operator -(double left, Fraction right)
        {
            double result = left - ConvertToDecimal(right);
            return result;
        }

public static double operator *(Fraction left, double right)
        {
            double result = ConvertToDecimal(left) * right;
            return result;
        }

public static double operator *(double left, Fraction right)
        {
            double result = left * ConvertToDecimal(right);
            return result;
        }

public static double operator /(Fraction left, double right)
        {
            double result = ConvertToDecimal(left) / right;
            return result;
        }

public static double operator /(double left, Fraction right)
        {
            double result = left / ConvertToDecimal(right);
            return result;
        }

public static Fraction Pow(Fraction frac, int n)
        {
            long num_new = (long) Math.Pow(frac.Num, n);
            long denom_new = (long) Math.Pow(frac.Denom, n);
            return new MathSpace.Fraction(num_new, denom_new);
        }
    }
}


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