Math, C# - rextester

Math

//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;

namespace Rextester
{

public class Program {
        
        public int ratio1;
        public int ratio2;
        public int ratio3;
        public int num1, num2, num3;
        
        public static void Add(double num1, double num2 ) {
            
            double result = num1 + num2;
            Console.WriteLine(Convert.ToDouble(result));
            
        
        }   
        
        public static void Sub(double num1, double num2 ) {
            
            double result = num1 - num2;
            Console.WriteLine(Convert.ToDouble(result));
            
        
        }
        
        public static void Mult(double num1, double num2 ) {
            
            double result = num1 * num2;
            Console.WriteLine(Convert.ToDouble(result));
            
        
        }   
        
        public static void Div(double num1, double num2 ) {
            
            if(num2==0) {
                Console.WriteLine(num1+"/"+num2+" = "+"Infinity");
            }
            
            else {
                double result = num1 * (1/num2);
                Console.WriteLine(num1+"/"+num2+" = "+Convert.ToDouble(result));
            }
            
        
        }
        
        public static double Fraction(double num, double denom) {
            
            
            double result = num*(1/denom);
            return result;

}
        
        public static void showFraction(double num, double denom) {
            
            
            Console.WriteLine(Fraction(num,denom));
        }
        
        //public static void addFraction(
        /*
        public static void LCM(int num1, int num2, int num3) {
        
            int lcm;
            int divisor;
            if (num1>n)
                
                (num1%num2==0 && num2%num3==0 && num3%num1==0) {
                lcm = num1*num2*num3;
                
            }
            
               
         }*/
            /*
         public static void LCM(int num1, int num2) {
            int divisor;
            bool same_num;
            int lcm;
            if (num1>num2){ 
                divisor=num1;
                lcm=1;
                same_num=false;
            }
             
            else if (num2>num1) {
                divisor=num2;
                lcm=1;
                same_num=false;
             }
            else {
                divisor=num1;
                lcm = num1;
                same_num=true;
             }
            int new_num1=num1;
            int new_num2=num2;
            int divisor_final=0;
            bool common_factor=false;
            while (divisor!=1 && same_num==false) {
                if(new_num1%divisor==0 && new_num2%divisor==0){
                    int new_num1_temp = new_num1/divisor;
                    int new_num2_temp = new_num2/divisor;
                    divisor_final = divisor;

new_num1 = new_num1_temp;
                    new_num2 = new_num2_temp;
                    lcm = divisor_final*new_num1*new_num2;
                    common_factor=true;
                    divisor--;
                    
                    }
                else if (common_factor==false){
                    divisor--;
                    divisor_final=divisor;
                    lcm = divisor_final*new_num1*new_num2;
                }
                else
                    divisor--;
                        
            }
            Console.WriteLine("Dividends: "+num1+","+num2+"; LCM="+lcm);
            Console.WriteLine("Divisor: "+divisor_final+"; Reduced Quotients: "+new_num1+", "+new_num2);
            Console.WriteLine(" ");
        }
        */

public static void LCM(int a, int b) {

int lcm;

if (a==b) {

Console.WriteLine("LCM : " + a);

}

else if (a>b) {
                 
                 if (a%b==0) {

Console.WriteLine("LCM : " + a);
      
                 }
             }

else {
     
                 for (int i=b; b>1; i--) {

if (a%i==0 && b%i==0) {
               
                         int a_reduced = a/i;
                         int b_reduced = b/i;
                         lcm = i*a_reduced*b_reduced;

Console.WriteLine("LCM("+a+","+b+"): " + lcm);
                         break;
                      
                     }

}
                 
             }
         }
             
        public static void LCM(int a, int b, int c) {
     
            int lcm;
                
            if (a==0) {
                Console.Write("LCM("+a+","+b+","+c+") = ");
                LCM(b,c);
            }

else if (b==0) {
                Console.Write("LCM("+a+","+b+","+c+") = ");
                LCM(a,c);
            }
            
            else if(c==0) {
                Console.Write("LCM("+a+","+b+","+c+") = ");
                LCM(a,b);
            }
            
            // if all three are equal
            
            else if (a==b && b==c) {
            
                Console.WriteLine("LCM: "+a);
 
                
            }
            // if a and b are equal
            else if (a==b && a!=c) {
                if (a>c) { // if a is greater than c, use a as divisor then decrement
                    for (int i=a; a>1; i--) {
                        if (a%i==0 && c%i==0) {
                            int a_reduced=a/i;
                            int c_reduced=c/i;
                            lcm = i*a_reduced*c_reduced;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                    }
                }
                else { // if c is greater than a, use c as divisor then decrement
                    for (int i=c; c>1; i--) {
                        if (a%i==0 && c%i==0) {
                            int a_reduced=a/i;
                            int c_reduced=c/i;
                            lcm = i*a_reduced*c_reduced;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                    }
                }
            }
            // if b and c are equal
            else if (b==c && a!=b) {
                if (a>b) { // if a is greater than b, use b as divisor then decrement
                    for (int i=a; a>1; i--) {
                        if (a%i==0 && b%i==0) {
                            int a_reduced=a/i;
                            int b_reduced=b/i;
                            lcm = i*a_reduced*b_reduced;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                    }
                }
                else { // if b is greater than a, use b as divisor then decrement
                    for (int i=b; b>1; i--) {
                        if (a%i==0 && b%i==0) {
                            int a_reduced=a/i;
                            int b_reduced=b/i;
                            lcm = i*a_reduced*b_reduced;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                    }
                }
            }
            // if a and c are equal
            else if (a==c && a!=b) {
                if (a>b) { // if a is greater than b, use a as divisor then decrement
                    for (int i=a; a>1; i--) {
                        if (a%i==0 && b%i==0) {
                            int a_reduced=a/i;
                            int b_reduced=b/i;
                            lcm = i*a_reduced*b_reduced;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                    }
                }
                else { // if b is greater than a, use b as divisor then decrement
                    for (int i=b; b>1; i--) {
                        if (a%i==0 && b%i==0) {
                            int a_reduced=a/i;
                            int b_reduced=b/i;
                            lcm = i*a_reduced*b_reduced;            
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                    }
                }
            }
                    
            //if all three are different
            else { 
                
                int a_r = a;
                int b_r = b;
                int c_r = c;
                bool simplest = false;

int d = max (a_r,b_r,c_r); //set divisor as the max of the 3 numbers
                
                while (d>1) {

if (a_r%d==0 && b_r%d==0) {

//                            simplest=false;
                            Console.WriteLine("a_r and b_r");
                            break;
            
                    }
                        
             
                    else if (a_r%d==0 && c_r%d==0) {

//                            simplest=false;
                            Console.WriteLine("a_r and c_r");
                            break;

}
                        
                  
                    else if (b_r%d==0 && c_r%d==0) {

//                            simplest=false;
                            Console.WriteLine("b_r and c_r");
                            break;

}
                   
                    else {
                                        
                        lcm=a_r*b_r*c_r;
                        Console.WriteLine(d);
                        Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                    
                    }
                    
                    d--;
                    
                }

while (simplest=false) {
                      
                   // if (a_r%
                }
                
                /* // a is largest
                if (a>b && a>c) {
                    
                    for(int i=a; i>1; i--) { // use a as divisor
                        
                        if (a%i==0 && b%i==0 && c%i!=0) { // if a and b are divisible but not c
                            int a_reduced = a/i;
                            int b_reduced = b/i;
                            lcm = i*a_reduced*b_reduced*c;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                        else if (b%i==0 && c%i==0 && a%i!=0) { // if b and c are divisible but not a
                        
                            int b_reduced = b/i;
                            int c_reduced = c/i;
                            lcm = i*b_reduced*c_reduced*a;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                        
                        else if (a%i==0 && c%i==0 && b%i!=0) { // if a and c are divisible but not b
                        
                            int a_reduced = a/i;
                            int c_reduced = c/i;
                            lcm = i*a_reduced*c_reduced*b;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                        
                        else if (a%i==0 && b%i==0 && c%i==0) { // if all 3 are divisible
                            
                            int a_reduced = a/i;
                            int b_reduced = b/i;
                            int c_reduced = c/i;
                            lcm = i*a_reduced*b_reduced*c_reduced;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                            
                        }
                        
                        else { // if only 1 is divisible
                            
                            lcm = a*b*c;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                    }
                }
                
                // b is largest
                else if (b>a && b>c) {
                    
                    for(int i=b; i>1; i--) { // use b as divisor
                        
                        if (a%i==0 && b%i==0 && c%i!=0) { // if a and b are divisible but not c
                            int a_reduced = a/i;
                            int b_reduced = b/i;
                            lcm = i*a_reduced*b_reduced*c;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                        else if (b%i==0 && c%i==0 && a%i!=0) { // if b and c are divisible but not a
                        
                            int b_reduced = b/i;
                            int c_reduced = c/i;
                            lcm = i*b_reduced*c_reduced*a;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                        
                        else if (a%i==0 && c%i==0 && b%i!=0) { // if a and c are divisible but not b
                        
                            int a_reduced = a/i;
                            int c_reduced = c/i;
                            lcm = i*a_reduced*c_reduced*b;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                        
                        else if (a%i==0 && b%i==0 && c%i==0) { // if all 3 are divisible
                            
                            int a_reduced = a/i;
                            int b_reduced = b/i;
                            int c_reduced = c/i;
                            lcm = i*a_reduced*b_reduced*c_reduced;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                            
                        }
                        
                        else { // if only 1 is divisible
                            
                            lcm = a*b*c;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                    }
                }
                // c is largest
                else {
                    
                    for(int i=c; i>1; i--) { // use c as divisor
                        
                        if (a%i==0 && b%i==0 && c%i!=0) { // if a and b are divisible but not c
                            int a_reduced = a/i;
                            int b_reduced = b/i;
                            lcm = i*a_reduced*b_reduced*c;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                        else if (b%i==0 && c%i==0 && a%i!=0) { // if b and c are divisible but not a
                        
                            int b_reduced = b/i;
                            int c_reduced = c/i;
                            lcm = i*b_reduced*c_reduced*a;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                        
                        else if (a%i==0 && c%i==0 && b%i!=0) { // if a and c are divisible but not b
                        
                            int a_reduced = a/i;
                            int c_reduced = c/i;
                            lcm = i*a_reduced*c_reduced*b;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                        
                        else if (a%i==0 && b%i==0 && c%i==0) { // if all 3 are divisible
                            
                            int a_reduced = a/i;
                            int b_reduced = b/i;
                            int c_reduced = c/i;
                            lcm = i*a_reduced*b_reduced*c_reduced;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                            
                        }
                        
                        else { // if only 1 is divisible
                            
                            lcm = a*b*c;
                            Console.WriteLine("LCM("+a+","+b+","+c+"): " + lcm);
                            break;
                        }
                    } // c largest for loop 
                } // c largest else*/
                
            }
        }

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

if (a>=b && a>=c) {
                
                return a;
            }
            
            else if (b>=a && b>=c) {
                 
                return b;
            }
            
            else {
                
                return c;
            }
        }

public static void Pyth(int lowerBound, int upperBound) {
            //Your code goes here
                       
            for (int i=lowerBound; i<=upperBound; i++) {
                
                for (int j=lowerBound; j<=upperBound; j++){
                    
                    double c = Math.Sqrt(Math.Pow(i,2)+Math.Pow(j,2));
                    if (c%1==0){
                        
                        Console.WriteLine("(a,b,c) = (" + i + "," + j + "," + 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 void makeSubQ(int firstLowerBound, int firstUpperBound, int secondLowerBound, int secondUpperBound){
            
            for (int i=firstLowerBound; i<=firstUpperBound; i+=9){
                
                for (int j=secondLowerBound; j<=secondUpperBound; j+=9){
                
                    if (i>j) {
                        Console.WriteLine("        \\item \\("+i+"\\operation"+j+"=\\)");

}

}
                
            }
           
        }*/
        
        
        public static void makeSubQ(int firstLowerBound, int firstUpperBound, int secondLowerBound, int secondUpperBound){
        
            string title = "Algebra Simplification Introduction";
            string exerciseTitle = "Simplify the algebraic expressions";
            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 =")=\\)";
            
            List<string> questions = new List<string>();
            
            //for (int i=firstLowerBound; i<=firstUpperBound; i+=9){
            for (int i=0; i<100;i++){
                
                //for (int j=secondLowerBound; j<=secondUpperBound; j+=9){
                for (int j=0; j<10;j++){   
                   
                   if (i>j) {
                       
                       questions.Add("        \\item \\("+i+"-"+j+"=\\)");
                       
                   }
                   
                }
                
            }
            questions.Shuffle();
            
            //Console.WriteLine(questions.Count());
            
            for (int i=0; i<questions.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("\\large Promatics Education Centre\\\\[1.5em]");
                    Console.WriteLine("\\endgroup");
                    Console.WriteLine();
                    Console.WriteLine(latex[0]);
                    Console.WriteLine("\\textbf{Exercise "+(m/30+1)+". "+exerciseTitle+".}\\\\");
                    Console.WriteLine("\\begin{multicols}{2}");
                    Console.WriteLine("    \\begin{enumerate}[label=\\arabic*)]");
                    Console.WriteLine(latex[1]);

}
                Console.WriteLine(questions[i]);
               
                if (i!=0 && (i+1)%30==0){
                  
                    Console.WriteLine();
                    Console.WriteLine("\\end{enumerate}");
                    Console.WriteLine("\\end{multicols}");
                    Console.WriteLine();
                    Console.WriteLine("\\pagebreak[4]");
                    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("\\large Promatics Education Centre\\\\[1.5em]");
                    Console.WriteLine("\\endgroup");
                    Console.WriteLine();
                    Console.WriteLine(latex[0]);
                    Console.WriteLine("\\textbf{Exercise "+(m/30+1)+". "+exerciseTitle+".}\\\\");
                    Console.WriteLine("\\begin{multicols}{2}");
                    Console.WriteLine("    \\begin{enumerate}[label=\\arabic*)]");
                    Console.WriteLine(latex[1]);
                }
            }
        }
        
    
        public static void makeQ(int firstLowerBound, int firstUpperBound, int secondLowerBound, int secondUpperBound){
         
            for (int i=firstLowerBound; i<=firstUpperBound; i+=9){

for (int j=secondLowerBound; j<=secondUpperBound; j+=9){

Console.WriteLine("        \\item \\("+i+"\\operation"+j+"=\\)");                   
            
                }
              
            }

}
        
        
   
        public static void makeDivQ(int firstLowerBound, int firstUpperBound, int secondLowerBound, int secondUpperBound){
            
            for (int i=firstLowerBound; i<=firstUpperBound; i++){
  
                for (int j=secondLowerBound; j<=secondUpperBound; j++){
                  
                    if (i%j==0) { 
                       
                        Console.WriteLine("\\("+i+"\\div"+j+"=\\)");

}
                    
                }
               
            }
             
        }
        
        public static void addLineBreak(int linesPerSection, int totalLines) {
         
            for (int i=0; i<=totalLines; i++) {
                
                if (i%linesPerSection==0) {
                    
                    Console.WriteLine("Break");
                    
                }
                
                else Console.WriteLine("No");
                
            
            }
        }
                 
        public static void circleX(double x, double radius) {
            
            Console.WriteLine("("+x+", "+Math.Round(Math.Sqrt(radius*radius-Math.Pow(x,2)),3)+")");
            
        }
        
        public static void circleY(double y, double radius) {
          
            Console.WriteLine("("+y+", "+Math.Round(Math.Sqrt(radius*radius-Math.Pow(y,2)),3)+")");
            
        }
        
        public static void angle(double x1, double y1, double x2, double y2, double x3, double y3) {
         
            double l12 = Math.Pow((x1-x2),2) +Math.Pow((y1-y2),2);
            double l13 = Math.Pow((x3-x1),2) +Math.Pow((y3-y1),2);
            double l23 = Math.Pow((x3-x2),2) +Math.Pow((y3-y2),2);
            
            double lhs = (l13-l12-l23)/(-2*Math.Sqrt(l12)*Math.Sqrt(l23));
            double angle2 = Math.Acos(lhs);
            //double angle2 = Math.Round(Math.Acos()*100,3);
            
            //Console.WriteLine(angle2 + " degrees C");
            Console.WriteLine(l12 + " " + l23 + " " + l13);
            Console.WriteLine(lhs);
            Console.WriteLine(angle2*360/(2*Math.PI)+" degrees");
        }
        
        public static void makeAlgebra(){
        
            string[] vari = new string[24] {"a","b","c","d","f","g","h","k","m","n","p","q","r","s","t","u","v","w","x","y","z","\\delta", "\\epsilon", "\\phi"};
            //var[0] = "a";
            //var[1] = "b";
            //var[2] = "c";
            
            Random rand = new Random();
            
            
            
            int n=-1; // n is the random number of variables per question
            int m=0;
            int i_final=30000;
            int incre= 0;
            string title = "Algebra Simplification Introduction";
            string exerciseTitle = "Simplify the algebraic expressions";
            string[] latex = new string[] {"\\fontsize{12pt}{16pt}\\selectfont", "        \\setlength\\itemsep{2em}"};
            
            string[] op = new string[2] {"(", ")("};
            string end =")=\\)";
            for (int i=1; i<=i_final; i++) {

int num2=rand.Next(0,3);  // range of number of different variables per question
                int num = rand.Next(2,5); // range of number of total variables per question
                int consts=rand.Next(1,6); // range of coefficients of the variables
                
                if(i==1){

}

if (n==-1){ //first variable of each question
                    Console.Write("        \\item \\(");
                }
                
                if (n==0){
                Console.Write(consts+vari[num2+3*incre]+op[0]);
                
                }
            
                else if (n>0 && n<num){
                    Console.Write(consts+vari[num2+3*incre]+op[1]);
                }
                n++;                
                if (n==num){ 
                    m++;
                    Console.Write(consts+vari[num2+3*incre]);
                    Console.Write(end);
                    Console.WriteLine();
                    
                    if (m%30==0) {
                        incre=rand.Next(0,8);
                        Console.WriteLine("\\end{enumerate}");
                        Console.WriteLine("\\end{multicols}");
                        Console.WriteLine();
                        Console.WriteLine("\\pagebreak[4]");
                        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("\\large Promatics Education Centre\\\\[1.5em]");
                        Console.WriteLine("\\endgroup");
                        Console.WriteLine();
                        Console.WriteLine(latex[0]);
                        Console.WriteLine("\\textbf{Exercise "+(m/30+1)+". "+exerciseTitle+".}\\\\");
                        Console.WriteLine("\\begin{multicols}{2}");
                        Console.WriteLine("    \\begin{enumerate}[label=\\arabic*)]");
                        Console.WriteLine(latex[1]);
                    }
                    
                    Console.Write("        \\item \\(");
                    n=0;
                }
                
                else if (n>num){
                    m++;
                    Console.Write(consts+vari[num2+3*incre]);
                    Console.Write(end);
                    Console.WriteLine();
                    
                    if (m%30==0) {
                        incre=rand.Next(0,8);
                        Console.WriteLine("\\end{enumerate}");
                        Console.WriteLine("\\end{multicols}");
                        Console.WriteLine();
                        Console.WriteLine("\\pagebreak[4]");
                        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("\\large Promatics Education Centre\\\\[1.5em]");
                        Console.WriteLine("\\endgroup");
                        Console.WriteLine();
                        Console.WriteLine(latex[0]);
                        Console.WriteLine("\\textbf{Exercise "+(m/30+1)+". "+exerciseTitle+".}\\\\");
                        Console.WriteLine("\\begin{multicols}{2}");
                        Console.WriteLine("    \\begin{enumerate}[label=\\arabic*)]");
                        Console.WriteLine(latex[1]);
                    }
                    
                    Console.Write("        \\item \\(");
                    n=0;
                }

/* if(i==i_final){
                    Console.WriteLine("\\end{enumerate}");
                    Console.WriteLine("\\end{multicols}");
                    
                }*/

}
            
            
        }
        
     
        public static void makeDiv4by2()     {
            
            Random rand = new Random();
            
            for (int i =0; i<10000; i++) {
                  
                int dividend = rand.Next(1001,10000);
                int divisor = rand.Next(11,99);

if (dividend%divisor==0) {
                Console.WriteLine("        \\item \\("+dividend+"\\div"+divisor+"=\\)");
                    
                }
            }
        }
        
        public static void Main(String[] args){
            //SimplifyRatio sr = new SimplifyRatio(2,4,8);
            //Console.WriteLine(sr.ratio1+":"+sr.ratio2+":"+sr.ratio3);
            /*SimplifyRatio(4,10,32);
            Div(1,Fraction(1,2));
            LCM(12,6);
            LCM(6,7);
            LCM(2,3);
            LCM(10,120);
            Div(1,10);
            */
            
            //showFraction(2,3);
            //makeDivQ(500,999,10,99);
            //addLineBreak(30,2108);
            //makeDivQ(1000,9999,1,9);
            //makeDivQ(10,99,5,9);
            //Console.WriteLine(max(0,0,1));
            //Pyth(1,1000);
            //LCM(5,15,10);
            //circleX(-1.3,2);
            //makeAlgebra();
            
            makeSubQ(10,100,10,100);
        }
    }
}

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 = (rnd.Next(0, n) % n);
                n--;
                T value = list[k];
                list[k] = list[n];    
                list[n] = value;
        
            }
            
   
        }
    }
}


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