Lets gooooo

2026-01-17 02:10:33 +00:00 · 2022-08-02 12:42:49 +01:00
parent 782f31810c
commit eb9f7c6c67
88 changed files with 3246 additions and 2066 deletions
--- a/.gitattributes
+++ b/.gitattributes
@@ -0,0 +1,63 @@
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--- a/.gitignore
+++ b/.gitignore
@@ -1,2 +1,363 @@
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--- a/BusinessLogic/Algorithms/Algorithm.cs
+++ b/BusinessLogic/Algorithms/Algorithm.cs
@@ -0,0 +1,15 @@
+using Common;
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Text;
+using System.Threading.Tasks;
+
+namespace BusinessLogic.Algorithms
+{
+    public abstract class Algorithm
+    {
+        public abstract void PutModelInCanonicalForm(Model model);
+        public abstract void Solve(Model model);
+    }
+}
--- a/BusinessLogic/Algorithms/BranchAndBoundSimplex.cs
+++ b/BusinessLogic/Algorithms/BranchAndBoundSimplex.cs
@@ -0,0 +1,293 @@
+using Common;
+using Models;
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Text;
+using System.Threading.Tasks;
+
+namespace BusinessLogic.Algorithms
+{
+    public class BranchAndBoundSimplex : Algorithm
+    {
+        private Model model;
+        public BinaryTree Results { get; set; } = new BinaryTree();
+        private DualSimplex dualSimplex = new DualSimplex();
+        private List<List<List<double>>> candidateSolutions = new List<List<List<double>>>();
+
+        public override void PutModelInCanonicalForm(Model model)
+        {
+            dualSimplex.PutModelInCanonicalForm(model);
+            Results.Add(model.Result);
+        }
+
+        public override void Solve(Model model)
+        {
+            this.model = model;
+
+            int level = 1;
+            while (level <= Results.GetHeight(Results.Root))
+            {
+                SolveCurrentLevel(Results.Root, level);
+                level++;
+            }
+        }
+
+        private void SolveCurrentLevel(BinaryTreeNode root, int level)
+        {
+            if (root == null)
+                return;
+
+            if (level == 1)
+            {
+                try
+                {
+                    Solve(root);
+                    Branch(root);
+                }
+                catch (InfeasibleException)
+                {
+                    return;
+                }
+            }
+            else if (level > 1)
+            {
+                SolveCurrentLevel(root.LeftNode, level - 1);
+                SolveCurrentLevel(root.RightNode, level - 1);
+            }
+        }
+
+        public List<List<double>> GetBestCandidate()
+        {
+            double bestRHS = candidateSolutions[0][0][candidateSolutions[0][0].Count - 1];
+            List<List<double>> bestSolution = candidateSolutions[0];
+
+            for (int i = 1; i < candidateSolutions.Count; i++)
+            {
+                if (model.ProblemType == ProblemType.Maximization)
+                {
+                    if (candidateSolutions[i][0][candidateSolutions[i][0].Count - 1] > bestRHS)
+                    {
+                        bestRHS = candidateSolutions[i][0][candidateSolutions[i][0].Count - 1];
+                        bestSolution = candidateSolutions[i];
+                    }
+                }
+                else
+                {
+                    if (candidateSolutions[i][0][candidateSolutions[i][0].Count - 1] < bestRHS)
+                    {
+                        bestRHS = candidateSolutions[i][0][candidateSolutions[i][0].Count - 1];
+                        bestSolution = candidateSolutions[i];
+                    }
+                }
+            }
+
+            return bestSolution;
+        }
+
+        private void Solve(BinaryTreeNode root)
+        {
+            var model = new Model() { ProblemType = this.model.ProblemType, Result = root.Data };
+            dualSimplex.Solve(model);
+        }
+
+        private void Branch(BinaryTreeNode root)
+        {
+            if (CanBranch(root).Count == 0)
+            {
+                candidateSolutions.Add(root.Data[root.Data.Count - 1]);
+            }     
+            else
+            {
+                // Get the variable we need to branch on
+                int branchVariableIndex = GetBranchVariable(root.Data[root.Data.Count - 1], CanBranch(root));
+                // Add the new constraints to the old table and add that resulting table to the binary tree
+                AddSubProblems(root, branchVariableIndex);
+            }
+        }
+
+        private void AddSubProblems(BinaryTreeNode root, int branchVariableIndex)
+        {
+            var table = root.Data[root.Data.Count - 1];
+            double rhs = GetRhsOfVariable(branchVariableIndex, table);
+
+            int constraintOneRhs;
+            int constraintTwoRhs;
+
+            constraintOneRhs = (int)Math.Truncate(rhs);
+            constraintTwoRhs = constraintOneRhs + 1;
+
+            var subProblemOneTable = ListCloner.CloneList(table);
+            var subProblemTwoTable = ListCloner.CloneList(table);
+
+            subProblemOneTable.Add(new List<double>());
+            subProblemTwoTable.Add(new List<double>());
+
+            for (int i = 0; i < subProblemOneTable[0].Count - 1; i++)
+            {
+                if (i == branchVariableIndex)
+                {
+                    subProblemOneTable[subProblemOneTable.Count - 1].Add(1);
+                    subProblemTwoTable[subProblemTwoTable.Count - 1].Add(-1);
+                }
+                else
+                {
+                    subProblemOneTable[subProblemOneTable.Count - 1].Add(0);
+                    subProblemTwoTable[subProblemTwoTable.Count - 1].Add(0);
+                }
+            }
+
+            subProblemOneTable[subProblemOneTable.Count - 1].Add(constraintOneRhs);
+            subProblemTwoTable[subProblemTwoTable.Count - 1].Add(constraintTwoRhs * -1);
+
+            for (int i = 0; i < subProblemOneTable.Count; i++)
+            {
+                var tempOne = subProblemOneTable[i][subProblemOneTable[i].Count - 1];
+                var tempTwo = subProblemTwoTable[i][subProblemTwoTable[i].Count - 1];
+
+                if (i == subProblemOneTable.Count - 1)
+                {
+                    subProblemOneTable[i][subProblemOneTable[i].Count - 1] = 1;
+                    subProblemTwoTable[i][subProblemTwoTable[i].Count - 1] = 1;
+                }
+                else
+                {
+                    subProblemOneTable[i][subProblemOneTable[i].Count - 1] = 0;
+                    subProblemTwoTable[i][subProblemTwoTable[i].Count - 1] = 0;
+                }
+
+                subProblemOneTable[i].Add(tempOne);
+                subProblemTwoTable[i].Add(tempTwo);
+            }
+
+            int subProblemBasicRow = GetBasicRow(table, branchVariableIndex);
+
+            for (int i = 0; i < subProblemOneTable[subProblemBasicRow].Count; i++)
+            {
+                subProblemOneTable[subProblemOneTable.Count - 1][i] -= subProblemOneTable[subProblemBasicRow][i];
+                subProblemTwoTable[subProblemTwoTable.Count - 1][i] += subProblemTwoTable[subProblemBasicRow][i];
+            }
+
+            Results.Add(new List<List<List<double>>>() { subProblemOneTable }, root.Data);
+            Results.Add(new List<List<List<double>>>() { subProblemTwoTable }, root.Data);
+        }
+
+        private int GetBasicRow(List<List<double>> table, int branchVariableIndex)
+        {
+            int basicRow = -1;
+
+            for (int i = 1; i < table.Count; i++)
+            {
+                if (table[i][branchVariableIndex] == 1)
+                {
+                    basicRow = i;
+                    break;
+                }
+            }
+
+            return basicRow;
+        }
+
+        private int GetBranchVariable(List<List<double>> table, List<int> intBinVarIndexes)
+        {
+            if (intBinVarIndexes.Count == 1)
+                return intBinVarIndexes[0];
+
+            int branchVariableIndex = -1;
+            decimal smallestFractionalPart = 1;
+
+            foreach (var intBinVar in intBinVarIndexes)
+            {
+                var rhs = (Decimal)GetRhsOfVariable(intBinVar, table);
+                decimal fractionalPart = rhs - Math.Truncate(rhs);
+                if (Math.Abs(0.5m - fractionalPart) < smallestFractionalPart)
+                {
+                    smallestFractionalPart = Math.Abs(0.5m - fractionalPart);
+                    branchVariableIndex = intBinVar;
+                }
+            }
+
+            return branchVariableIndex;
+        }
+
+        private List<int> CanBranch(BinaryTreeNode root)
+        {
+            var intBinVarIndexes = new List<int>();
+            var indexesToDiscard = new List<int>();
+
+            for (int i = 0; i < model.SignRestrictions.Count; i++)
+            {
+                if (model.SignRestrictions[i] == SignRestriction.Integer || model.SignRestrictions[i] == SignRestriction.Binary)
+                {
+                    intBinVarIndexes.Add(i);
+                }
+            }
+
+
+            var table = root.Data[root.Data.Count - 1];
+
+            foreach (var intBinVar in intBinVarIndexes)
+            {
+
+                if (!IsVariableBasic(intBinVar, table))
+                {
+                    indexesToDiscard.Add(intBinVar);
+                }
+
+                else
+                {
+                    double rhs = GetRhsOfVariable(intBinVar, table);
+
+                    if (rhs - Math.Truncate(rhs) < 0.00001)
+                    {
+                        indexesToDiscard.Add(intBinVar);
+                    }
+                }
+            }
+
+            intBinVarIndexes.RemoveAll(v => indexesToDiscard.Contains(v) == true);
+
+            return intBinVarIndexes;
+        }
+
+        private double GetRhsOfVariable(int intBinVar, List<List<double>> table)
+        {
+            if (!IsVariableBasic(intBinVar, table))
+                return 0;
+
+            double rhs = 0;
+
+            for (int i = 1; i < table.Count; i++)
+            {
+                if (table[i][intBinVar] == 1)
+                {
+                    rhs = table[i][table[i].Count - 1];
+                    break;
+                }
+            }
+
+            return rhs;
+        }
+
+        private bool IsVariableBasic(int intBinVar, List<List<double>> table)
+        {
+            bool isBasic = true;
+
+            for (int i = 0; i < table.Count; i++)
+            {
+                int numberOfOnes = 0;
+
+                if (table[i][intBinVar] == 1)
+                    numberOfOnes++;
+
+                if ((table[i][intBinVar] != 0 && table[i][intBinVar] != 1) || numberOfOnes > 1)
+                {
+                    isBasic = false;
+                    break;
+                }
+            }
+
+            return isBasic;
+        }
+    }
+}
--- a/BusinessLogic/Algorithms/CuttingPlane.cs
+++ b/BusinessLogic/Algorithms/CuttingPlane.cs
@@ -0,0 +1,203 @@
+using Common;
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Text;
+using System.Threading.Tasks;
+
+namespace BusinessLogic.Algorithms
+{
+    public class CuttingPlane : Algorithm
+    {
+
+
+        private DualSimplex dualSimplex = new DualSimplex();
+
+        public override void PutModelInCanonicalForm(Model model)
+        {
+            dualSimplex.PutModelInCanonicalForm(model);
+
+            dualSimplex.Solve(model);
+        }
+
+        public override void Solve(Model model)
+        {
+            while (CanCut(model).Count > 0)
+            {       
+                Cut(model);
+                dualSimplex.Solve(model);
+            }
+        }
+
+        private void Cut(Model model)
+        {
+            var table = model.Result[model.Result.Count - 1];
+
+
+            int cutVariableIndex = GetCutVariable(table, CanCut(model));
+
+    
+            int basicRow = GetBasicRow(table, cutVariableIndex);
+
+            List<double> cutConstraint = GetCutConstraint(table, basicRow);
+
+            var newTable = ListCloner.CloneList(table);
+
+            newTable.Add(cutConstraint);
+
+
+            for (int i = 0; i < newTable.Count; i++)
+            {
+                if (i == newTable.Count - 1)
+                {
+                    newTable[i].Insert(newTable[i].Count - 1, 1);
+                }
+                else
+                {
+                    newTable[i].Insert(newTable[i].Count - 1, 0);
+                }
+            }
+
+            model.Result.Add(newTable);
+        }
+
+        private List<double> GetCutConstraint(List<List<double>> table, int basicRow)
+        {
+            List<double> cutConstraint = new List<double>();
+
+            for (int i = 0; i < table[basicRow].Count; i++)
+            {
+
+                if (table[basicRow][i] == Math.Truncate(table[basicRow][i]))
+                {
+                    cutConstraint.Add(0);
+                }
+                else
+                {
+
+                    double fractionalPart = Math.Abs(Math.Floor(table[basicRow][i]) - table[basicRow][i]);
+                    cutConstraint.Add(-1 * fractionalPart);
+                }
+            }
+
+            return cutConstraint;
+        }
+
+        private List<int> CanCut(Model model)
+        {
+            List<int> intBinVarIndexes = new List<int>();
+            List<int> indexesToDiscard = new List<int>();
+            var lastTable = model.Result[model.Result.Count - 1];
+
+            for (int i = 0; i < model.SignRestrictions.Count; i++)
+            {
+                if (model.SignRestrictions[i] == SignRestriction.Integer || model.SignRestrictions[i] == SignRestriction.Binary)
+                {
+                    intBinVarIndexes.Add(i);
+                }
+            }
+
+
+            foreach (var intBinVar in intBinVarIndexes)
+            {
+
+                if (!IsVariableBasic(intBinVar, lastTable))
+                {
+                    indexesToDiscard.Add(intBinVar);
+                }
+
+                else
+                {
+                    double rhs = GetRhsOfVariable(intBinVar, lastTable);
+
+                    if (rhs - Math.Truncate(rhs) < 0.00001)
+                    {
+                        indexesToDiscard.Add(intBinVar);
+                    }
+                }
+            }
+
+            intBinVarIndexes.RemoveAll(v => indexesToDiscard.Contains(v) == true);
+
+            return intBinVarIndexes;
+        }
+
+        private double GetRhsOfVariable(int intBinVar, List<List<double>> table)
+        {
+            if (!IsVariableBasic(intBinVar, table))
+                return 0;
+
+            double rhs = 0;
+
+            for (int i = 1; i < table.Count; i++)
+            {
+                if (table[i][intBinVar] == 1)
+                {
+                    rhs = table[i][table[i].Count - 1];
+                    break;
+                }
+            }
+
+            return rhs;
+        }
+
+        private bool IsVariableBasic(int intBinVar, List<List<double>> table)
+        {
+            bool isBasic = true;
+
+            for (int i = 0; i < table.Count; i++)
+            {
+                int numberOfOnes = 0;
+
+                if (table[i][intBinVar] == 1)
+                    numberOfOnes++;
+
+                if ((table[i][intBinVar] != 0 && table[i][intBinVar] != 1) || numberOfOnes > 1)
+                {
+                    isBasic = false;
+                    break;
+                }
+            }
+
+            return isBasic;
+        }
+
+        private int GetCutVariable(List<List<double>> table, List<int> intBinVarIndexes)
+        {
+            if (intBinVarIndexes.Count == 1)
+                return intBinVarIndexes[0];
+
+            int branchVariableIndex = -1;
+            decimal smallestFractionalPart = 1;
+
+            foreach (var intBinVar in intBinVarIndexes)
+            {
+                var rhs = (Decimal)GetRhsOfVariable(intBinVar, table);
+                decimal fractionalPart = rhs - Math.Truncate(rhs);
+                if (Math.Abs(0.5m - fractionalPart) < smallestFractionalPart)
+                {
+                    smallestFractionalPart = Math.Abs(0.5m - fractionalPart);
+                    branchVariableIndex = intBinVar;
+                }
+            }
+
+            return branchVariableIndex;
+        }
+
+        private int GetBasicRow(List<List<double>> table, int variableIndex)
+        {
+            int basicRow = -1;
+
+            for (int i = 1; i < table.Count; i++)
+            {
+                if (table[i][variableIndex] == 1)
+                {
+                    basicRow = i;
+                    break;
+                }
+            }
+
+            return basicRow;
+        }
+    }
+}
--- a/BusinessLogic/Algorithms/DualSimplex.cs
+++ b/BusinessLogic/Algorithms/DualSimplex.cs
@@ -0,0 +1,223 @@
+using Common;
+using Models;
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Text;
+using System.Threading.Tasks;
+
+namespace BusinessLogic.Algorithms
+{
+    public class DualSimplex : Algorithm
+    {
+        public override void PutModelInCanonicalForm(Model model)
+        {
+
+            List<List<double>> tableZero = new List<List<double>>();
+
+            tableZero.Add(new List<double>());
+
+            foreach (var decVar in model.ObjectiveFunction.DecisionVariables)
+            {
+                tableZero[0].Add(decVar.Coefficient * -1);
+            }
+
+
+            for (int i = 0; i < model.Constraints.Count; i++)
+            {
+                tableZero[0].Add(0);
+                if (model.Constraints[i].InequalitySign == InequalitySign.EqualTo)
+                    tableZero[0].Add(0);
+            }
+
+            tableZero[0].Add(0);
+
+            var equalsConstraints = model.Constraints.Where(c => c.InequalitySign == InequalitySign.EqualTo).ToList();
+            if (equalsConstraints?.Count() > 0)
+            {
+                for (int i = 0; i < equalsConstraints.Count(); i++)
+                {
+                    model.Constraints[model.Constraints.FindIndex(c => c == equalsConstraints[i])].InequalitySign = InequalitySign.LessThanOrEqualTo;
+                    var newConstraint = new Constraint();
+                    newConstraint.InequalitySign = InequalitySign.GreaterThanOrEqualTo;
+                    newConstraint.RightHandSide = equalsConstraints[i].RightHandSide;
+
+                    foreach (var decVar in equalsConstraints[i].DecisionVariables)
+                    {
+                        newConstraint.DecisionVariables.Add(new DecisionVariable() { Coefficient = decVar.Coefficient });
+                    }
+
+                    model.Constraints.Add(newConstraint);
+                }
+            }
+
+            for (int i = 0; i < model.Constraints.Count; i++)
+            {
+                List<double> constraintValues = new List<double>();
+
+
+                foreach (var decVar in model.Constraints[i].DecisionVariables)
+                {
+                    if (model.Constraints[i].InequalitySign == InequalitySign.LessThanOrEqualTo)
+                    {
+                        constraintValues.Add(decVar.Coefficient);
+                    }
+                    else
+                    {
+                        constraintValues.Add(decVar.Coefficient * -1);
+                    }
+                }
+
+                for (int j = 0; j < model.Constraints.Count; j++)
+                {
+                    if (j == i)
+                    {
+                        constraintValues.Add(1);
+                    }
+                    else
+                    {
+                        constraintValues.Add(0);
+                    }
+                }
+
+                if (model.Constraints[i].InequalitySign == InequalitySign.LessThanOrEqualTo)
+                {
+                    constraintValues.Add(model.Constraints[i].RightHandSide);
+                }
+                else
+                {
+                    constraintValues.Add(model.Constraints[i].RightHandSide * -1);
+                }
+                
+                tableZero.Add(constraintValues);
+            }
+
+            model.Result.Add(tableZero);
+        }
+
+        public override void Solve(Model model)
+        {
+            Iterate(model);
+            var primalSimplex = new PrimalSimplex();
+            primalSimplex.Solve(model);
+        }
+
+        private void Iterate(Model model)
+        {
+
+            if (!CanPivot(model))
+                return;
+
+
+            int pivotRow = GetPivotRow(model);
+
+            int pivotColumn = GetPivotColumn(model, pivotRow);
+
+            if (pivotColumn == -1)
+                throw new InfeasibleException("There is no suitable column to pivot on - the problem is infeasible");
+
+            Pivot(model, pivotRow, pivotColumn);
+
+
+            Iterate(model);
+        }
+
+        private bool CanPivot(Model model)
+        {
+
+            bool canPivot = false;
+            var table = model.Result[model.Result.Count - 1];
+
+            for (int i = 1; i < table.Count; i++)
+            {
+
+                if (table[i][table[i].Count - 1] < -0.000000000001)
+                {
+                    canPivot = true;
+                    break;
+                }
+            }
+
+            return canPivot;
+        }
+
+        private int GetPivotRow(Model model)
+        {
+            int pivotRow = -1;
+            var table = model.Result[model.Result.Count - 1];
+            double mostNegative = 0;
+
+            for (int i = 1; i < table.Count; i++)
+            {
+                if (table[i][table[i].Count - 1] < 0 && table[i][table[i].Count - 1] < mostNegative)
+                {
+                    mostNegative = table[i][table[i].Count - 1];
+                    pivotRow = i;
+                }
+            }
+
+            return pivotRow;
+        }
+
+        private int GetPivotColumn(Model model, int pivotRow)
+        {
+            int pivotColumn = -1;
+            var table = model.Result[model.Result.Count - 1];
+
+            double lowestRatio = double.MaxValue;
+            for (int i = 0; i < table[0].Count - 1; i++)
+            {
+                if (table[pivotRow][i] < 0)
+                {
+                    double ratio = Math.Abs(table[0][i] / table[pivotRow][i]);
+                    if (ratio < lowestRatio)
+                    {
+                        lowestRatio = ratio;
+                        pivotColumn = i;
+                    }
+                }
+            }
+
+            return pivotColumn;
+        }
+
+        private void Pivot(Model model, int pivotRow, int pivotColumn)
+        {
+            var previousTable = model.Result[model.Result.Count - 1];
+            var newTable = new List<List<double>>();
+
+            for (int i = 0; i < previousTable.Count; i++)
+            {
+                newTable.Add(new List<double>());
+
+                for (int j = 0; j < previousTable[i].Count; j++)
+                {
+                    newTable[i].Add(previousTable[i][j]);
+                }
+            }
+
+
+            double factor = 1 / newTable[pivotRow][pivotColumn];
+            for (int i = 0; i < newTable[pivotRow].Count; i++)
+            {
+                newTable[pivotRow][i] *= factor;
+            }
+
+            double pivotColumnValue;
+            for (int i = 0; i < newTable.Count; i++)
+            {
+                pivotColumnValue = newTable[i][pivotColumn];
+
+                if (i != pivotRow && pivotColumnValue != 0)
+                {
+                    for (int j = 0; j < newTable[i].Count; j++)
+                    {
+                        newTable[i][j] += (-1 * pivotColumnValue * newTable[pivotRow][j]);
+                    }
+                }
+            }
+
+            model.Result.Add(newTable);
+        }
+    }
+}
--- a/BusinessLogic/Algorithms/PrimalSimplex.cs
+++ b/BusinessLogic/Algorithms/PrimalSimplex.cs
@@ -0,0 +1,212 @@
+using Common;
+using Models;
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Text;
+using System.Threading.Tasks;
+
+namespace BusinessLogic.Algorithms
+{
+    public class PrimalSimplex : Algorithm
+    {
+        public override void PutModelInCanonicalForm(Model model)
+        {
+
+            List<List<double>> tableZero = new List<List<double>>();
+
+ 
+            tableZero.Add(new List<double>());
+
+            foreach (var decVar in model.ObjectiveFunction.DecisionVariables)
+            {
+                tableZero[0].Add(decVar.Coefficient * -1);
+            }
+
+
+            for (int i = 0; i <= model.Constraints.Count; i++)
+            {
+                tableZero[0].Add(0);
+            }
+
+            for (int i = 0; i < model.Constraints.Count; i++)
+            {
+                List<double> constraintValues = new List<double>();
+
+                foreach (var decVar in model.Constraints[i].DecisionVariables)
+                {
+                    constraintValues.Add(decVar.Coefficient);
+                }
+
+                for (int j = 0; j < model.Constraints.Count; j++)
+                {
+                    if (j == i)
+                    {
+                        constraintValues.Add(1);
+                    }
+                    else
+                    {
+                        constraintValues.Add(0);
+                    }
+                }
+
+                constraintValues.Add(model.Constraints[i].RightHandSide);
+
+                tableZero.Add(constraintValues);
+            }
+
+            model.Result.Add(tableZero);
+        }
+
+        public override void Solve(Model model)
+        {
+            Iterate(model);
+        }
+
+        private bool IsOptimal(Model model)
+        {
+            bool isOptimal = true;
+            var table = model.Result[model.Result.Count - 1];
+
+            if (model.ProblemType == ProblemType.Maximization)
+            {
+                for (int i = 0; i < table[0].Count - 1; i++)
+                {
+                    if (table[0][i] < 0)
+                    {
+                        isOptimal = false;
+                        break;
+                    }
+                }
+            }
+            else
+            {
+                for (int i = 0; i < table[0].Count - 1; i++)
+                {
+                    if (table[0][i] > 0)
+                    {
+                        isOptimal = false;
+                        break;
+                    }
+                }
+            }
+
+            return isOptimal;
+        }
+
+        private void Iterate(Model model)
+        {
+
+            if (IsOptimal(model))
+                return;
+
+
+            int pivotColumn = GetPivotColumn(model);
+            // Then get the pivot row
+            int pivotRow = GetPivotRow(model, pivotColumn);
+
+            if (pivotRow == -1)
+                throw new InfeasibleException("There is no suitable row to pivot on - the problem is infeasible");
+
+            Pivot(model, pivotRow, pivotColumn);
+
+            Iterate(model);
+        }
+
+        private void Pivot(Model model, int pivotRow, int pivotColumn)
+        {
+            var previousTable = model.Result[model.Result.Count - 1];
+            var newTable = new List<List<double>>();
+
+            for (int i = 0; i < previousTable.Count; i++)
+            {
+                newTable.Add(new List<double>());
+
+                for (int j = 0; j < previousTable[i].Count; j++)
+                {
+                    newTable[i].Add(previousTable[i][j]);
+                }
+            }
+
+
+            double factor = 1 / newTable[pivotRow][pivotColumn];
+            for (int i = 0; i < newTable[pivotRow].Count; i++)
+            {
+                newTable[pivotRow][i] *= factor;
+            }
+
+            double pivotColumnValue;
+            for (int i = 0; i < newTable.Count; i++)
+            {
+                pivotColumnValue = newTable[i][pivotColumn];
+
+                if (i != pivotRow && pivotColumnValue != 0)
+                {
+                    for (int j = 0; j < newTable[i].Count; j++)
+                    {
+                        newTable[i][j] += (-1 * pivotColumnValue * newTable[pivotRow][j]);
+                    }
+                }
+            }
+
+            model.Result.Add(newTable);
+        }
+
+        private int GetPivotColumn(Model model)
+        {
+            int colIndex = -1;
+            var table = model.Result[model.Result.Count - 1];
+
+            if (model.ProblemType == ProblemType.Maximization)
+            {
+                double mostNegative = 0;
+
+                for (int i = 0; i < table[0].Count - 1; i++)
+                {
+                    if (table[0][i] < 0 && table[0][i] < mostNegative)
+                    {
+                        mostNegative = table[0][i];
+                        colIndex = i;
+                    }
+                }
+            }
+            else
+            {
+                double mostPositive = 0;
+
+                for (int i = 0; i < table[0].Count - 1; i++)
+                {
+                    if (table[0][i] > 0 && table[0][i] > mostPositive)
+                    {
+                        mostPositive = table[0][i];
+                        colIndex = i;
+                    }
+                }
+            }
+
+            return colIndex;
+        }
+
+        private int GetPivotRow(Model model, int pivotColumn)
+        {
+            int rowIndex = -1;
+            var table = model.Result[model.Result.Count - 1];
+
+            double lowestRatio = double.MaxValue;
+            for (int i = 1; i < table.Count; i++)
+            {
+                if (table[i][pivotColumn] > 0)
+                {
+                    double ratio = table[i][table[i].Count - 1] / table[i][pivotColumn];
+                    if (ratio < lowestRatio && ratio >= 0)
+                    {
+                        lowestRatio = ratio;
+                        rowIndex = i;
+                    }
+                }
+            }
+
+            return rowIndex;
+        }
+    }
+}
--- a/BusinessLogic/Algorithms/TwoPhaseSimplex.cs
+++ b/BusinessLogic/Algorithms/TwoPhaseSimplex.cs
@@ -0,0 +1,346 @@
+using Common;
+using Models;
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Text;
+using System.Threading.Tasks;
+
+namespace BusinessLogic.Algorithms
+{
+    public class TwoPhaseSimplex : Algorithm
+    {
+        private int numberOfArtificialVars = 0;
+
+        public override void PutModelInCanonicalForm(Model model)
+        {
+
+            for (int i = 0; i < model.Constraints.Count; i++)
+            {
+                if (model.Constraints[i].RightHandSide < 0)
+                {
+                    for (int j = 0; j < model.Constraints[i].DecisionVariables.Count; j++)
+                    {
+                        model.Constraints[i].DecisionVariables[j].Coefficient *= -1;
+                    }
+
+                    model.Constraints[i].RightHandSide *= -1;
+
+                    if (model.Constraints[i].InequalitySign == InequalitySign.LessThanOrEqualTo)
+                    {
+                        model.Constraints[i].InequalitySign = InequalitySign.GreaterThanOrEqualTo;
+                    }
+                    else if (model.Constraints[i].InequalitySign == InequalitySign.GreaterThanOrEqualTo)
+                    {
+                        model.Constraints[i].InequalitySign = InequalitySign.LessThanOrEqualTo;
+                    }
+                }
+            }
+
+
+            List<List<double>> tableZero = new List<List<double>>();
+
+
+            tableZero.Add(new List<double>());
+
+            foreach (var decVar in model.ObjectiveFunction.DecisionVariables)
+            {
+                tableZero[0].Add(decVar.Coefficient * -1);
+            }
+
+            foreach (var constraint in model.Constraints)
+            {
+                if (constraint.InequalitySign == InequalitySign.LessThanOrEqualTo ||
+                    constraint.InequalitySign == InequalitySign.GreaterThanOrEqualTo)
+                {
+                    tableZero[0].Add(0);
+                }
+
+                if (constraint.InequalitySign == InequalitySign.EqualTo ||
+                    constraint.InequalitySign == InequalitySign.GreaterThanOrEqualTo)
+                {
+                    tableZero[0].Add(0);
+                }
+            }
+
+            tableZero[0].Add(0);
+
+            for (int i = 0; i < model.Constraints.Count; i++)
+            {
+                List<double> constraintValues = new List<double>();
+
+                foreach (var decVar in model.Constraints[i].DecisionVariables)
+                {
+                    constraintValues.Add(decVar.Coefficient);
+                }
+
+                for (int j = 0; j < model.Constraints.Count; j++)
+                {
+                    if (model.Constraints[j].InequalitySign == InequalitySign.LessThanOrEqualTo)
+                    {
+                        if (j == i)
+                        {
+                            constraintValues.Add(1);
+                        }
+                        else
+                        {
+                            constraintValues.Add(0);
+                        }
+                    }
+                    else if (model.Constraints[j].InequalitySign == InequalitySign.GreaterThanOrEqualTo)
+                    {
+                        if (j == i)
+                        {
+                            constraintValues.Add(-1);
+                        }
+                        else
+                        {
+                            constraintValues.Add(0);
+                        }
+                    }
+                }
+
+                constraintValues.Add(model.Constraints[i].RightHandSide);
+
+                for (int j = 0; j < model.Constraints.Count; j++)
+                {
+                    if (model.Constraints[j].InequalitySign == InequalitySign.EqualTo ||
+                        model.Constraints[j].InequalitySign == InequalitySign.GreaterThanOrEqualTo)
+                    {
+                        if (j == i)
+                        {
+                            constraintValues.Insert(constraintValues.Count - 1, 1);
+                        }
+                        else
+                        {
+                            constraintValues.Insert(constraintValues.Count - 1, 0);
+                        }
+                    }
+                }
+
+                tableZero.Add(constraintValues);
+            }
+
+            numberOfArtificialVars = model.Constraints.Where(c => c.InequalitySign ==
+            InequalitySign.EqualTo || c.InequalitySign == InequalitySign.GreaterThanOrEqualTo).Count();
+
+            List<double> wRow = new List<double>();
+            for (int i = 0; i < tableZero[0].Count; i++)
+            {
+                wRow.Add(0);
+            }
+
+            for (int i = 1; i < tableZero.Count; i++)
+            {
+                if (model.Constraints[i - 1].InequalitySign == InequalitySign.EqualTo ||
+                    model.Constraints[i - 1].InequalitySign == InequalitySign.GreaterThanOrEqualTo)
+                {
+                    for (int j = 0; j < (tableZero[i].Count - numberOfArtificialVars - 1); j++)
+                    {
+                        wRow[j] += tableZero[i][j];
+                    }
+
+                    wRow[wRow.Count - 1] += tableZero[i][tableZero[i].Count - 1];
+                }
+            }
+
+            tableZero.Insert(0, wRow);
+            model.Result.Add(tableZero);
+        }
+
+        public override void Solve(Model model)
+        {
+            Iterate(model);
+            var lastTable = model.Result[model.Result.Count - 1];
+
+            if (lastTable[0][lastTable[0].Count - 1] > 0)
+            {
+                throw new InfeasibleException("The problem is infeasible");
+            }
+
+            bool allArtificialsNonBasic = true;
+            for (int i = lastTable[0].Count - (numberOfArtificialVars + 1); i < lastTable[0].Count - 1; i++)
+            {
+                if (IsVariableBasic(i, lastTable))
+                {
+                    allArtificialsNonBasic = false;
+                    break;
+                }
+            }
+
+            if (allArtificialsNonBasic)
+            {
+                lastTable.RemoveAt(0);
+
+                for (int i = 0; i < lastTable.Count; i++)
+                {
+                    for (int j = 0; j < numberOfArtificialVars; j++)
+                    {
+                        lastTable[i].RemoveAt(lastTable[i].Count - 2);
+                    }
+                }
+            }
+            else
+            {
+                for (int i = 0; i < model.ObjectiveFunction.DecisionVariables.Count; i++)
+                {
+                    if (lastTable[0][i] < 0)
+                    {
+                        for (int j = 0; j < lastTable.Count; j++)
+                        {
+                            lastTable[j].RemoveAt(i);
+                        }
+                    }
+                }
+
+                for (int i = lastTable[0].Count - (numberOfArtificialVars + 1); i < lastTable[0].Count - 1; i++)
+                {
+                    if (!IsVariableBasic(i, lastTable))
+                    {
+                        for (int j = 0; j < lastTable.Count; j++)
+                        {
+                            lastTable[j].RemoveAt(i);
+                        }
+                    }
+                }
+
+                lastTable.RemoveAt(0);
+            }
+
+            var primalSimplex = new PrimalSimplex();
+            primalSimplex.Solve(model);
+        }
+
+        private bool IsOptimal(Model model)
+        {
+            bool isOptimal = true;
+            var table = model.Result[model.Result.Count - 1];
+
+            for (int i = 0; i < table[0].Count - 1; i++)
+            {
+                if (table[0][i] > 0)
+                {
+                    isOptimal = false;
+                    break;
+                }
+            }
+
+            return isOptimal;
+        }
+
+        private void Iterate(Model model)
+        {
+            if (IsOptimal(model))
+                return;
+
+            int pivotColumn = GetPivotColumn(model);
+            int pivotRow = GetPivotRow(model, pivotColumn);
+
+            if (pivotRow == -1)
+                throw new InfeasibleException("There is no suitable row to pivot on - the problem is infeasible");
+
+            Pivot(model, pivotRow, pivotColumn);
+
+            Iterate(model);
+        }
+
+        private void Pivot(Model model, int pivotRow, int pivotColumn)
+        {
+            var previousTable = model.Result[model.Result.Count - 1];
+            var newTable = new List<List<double>>();
+
+            for (int i = 0; i < previousTable.Count; i++)
+            {
+                newTable.Add(new List<double>());
+
+                for (int j = 0; j < previousTable[i].Count; j++)
+                {
+                    newTable[i].Add(previousTable[i][j]);
+                }
+            }
+
+            double factor = 1 / newTable[pivotRow][pivotColumn];
+            for (int i = 0; i < newTable[pivotRow].Count; i++)
+            {
+                newTable[pivotRow][i] *= factor;
+            }
+
+            double pivotColumnValue;
+            for (int i = 0; i < newTable.Count; i++)
+            {
+                pivotColumnValue = newTable[i][pivotColumn];
+
+                if (i != pivotRow && pivotColumnValue != 0)
+                {
+                    for (int j = 0; j < newTable[i].Count; j++)
+                    {
+                        newTable[i][j] += (-1 * pivotColumnValue * newTable[pivotRow][j]);
+                    }
+                }
+            }
+
+            model.Result.Add(newTable);
+        }
+
+        private int GetPivotColumn(Model model)
+        {
+            int colIndex = -1;
+            var table = model.Result[model.Result.Count - 1];
+            double mostPositive = 0;
+
+            for (int i = 0; i < table[0].Count - 1; i++)
+            {
+                if (table[0][i] > 0 && table[0][i] > mostPositive)
+                {
+                    mostPositive = table[0][i];
+                    colIndex = i;
+                }
+            }
+
+            return colIndex;
+        }
+
+        private int GetPivotRow(Model model, int pivotColumn)
+        {
+            int rowIndex = -1;
+            var table = model.Result[model.Result.Count - 1];
+
+            double lowestRatio = double.MaxValue;
+            for (int i = 1; i < table.Count; i++)
+            {
+                if (table[i][pivotColumn] > 0)
+                {
+                    double ratio = table[i][table[i].Count - 1] / table[i][pivotColumn];
+                    if (ratio < lowestRatio && ratio >= 0)
+                    {
+                        lowestRatio = ratio;
+                        rowIndex = i;
+                    }
+                }
+            }
+
+            return rowIndex;
+        }
+
+        private bool IsVariableBasic(int index, List<List<double>> table)
+        {
+            bool isBasic = true;
+
+            for (int i = 0; i < table.Count; i++)
+            {
+                int numberOfOnes = 0;
+
+                if (table[i][index] == 1)
+                    numberOfOnes++;
+
+                if ((table[i][index] != 0 && table[i][index] != 1) || numberOfOnes > 1)
+                {
+                    isBasic = false;
+                    break;
+                }
+            }
+
+            return isBasic;
+        }
+    }
+}
--- a/BusinessLogic/BinaryTree.cs
+++ b/BusinessLogic/BinaryTree.cs
@@ -0,0 +1,69 @@
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Text;
+using System.Threading.Tasks;
+
+namespace BusinessLogic
+{
+    public class BinaryTree
+    {
+        public BinaryTreeNode Root { get; set; }
+
+        public void Add(List<List<List<double>>> subProblem, List<List<List<double>>> parentProblem = null)
+        {
+            BinaryTreeNode newNode = new BinaryTreeNode();
+            newNode.Data = subProblem;
+
+            if (Root == null)
+            {
+                Root = newNode;
+                return;
+            }   
+
+            if (parentProblem != null)
+            {
+                BinaryTreeNode parentNode = Find(parentProblem);
+                if (parentNode != null && parentNode.LeftNode == null)
+                {
+                    parentNode.LeftNode = newNode;
+                    return;
+                }
+
+                if (parentNode != null && parentNode.RightNode == null)
+                {
+                    parentNode.RightNode = newNode;
+                }
+            }
+        }
+
+        public BinaryTreeNode Find(List<List<List<double>>> subProblem)
+        {
+            return this.Find(subProblem, this.Root);
+        }
+
+        private BinaryTreeNode Find(List<List<List<double>>> subProblem, BinaryTreeNode parent)
+        {
+            if (parent == null)       
+                return null;
+
+            if (parent.Data == subProblem)
+            {
+                return parent;
+            }
+
+            return Find(subProblem, parent.LeftNode) == null ? Find(subProblem, parent.RightNode) : Find(subProblem, parent.LeftNode);
+        }
+
+        public int GetHeight(BinaryTreeNode root)
+        {
+            if (root == null)
+                return 0;
+
+            int leftHeight = GetHeight(root.LeftNode);
+            int rightHeight = GetHeight(root.RightNode);
+
+            return leftHeight > rightHeight ? leftHeight + 1 : rightHeight + 1;
+        }
+    }
+}
--- a/BusinessLogic/BinaryTreeNode.cs
+++ b/BusinessLogic/BinaryTreeNode.cs
@@ -0,0 +1,15 @@
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Text;
+using System.Threading.Tasks;
+
+namespace BusinessLogic
+{
+    public class BinaryTreeNode
+    {
+        public BinaryTreeNode LeftNode { get; set; }
+        public BinaryTreeNode RightNode { get; set; }
+        public List<List<List<double>>> Data { get; set; }
+    }
+}
--- a/BusinessLogic/BusinessLogic.csproj
+++ b/BusinessLogic/BusinessLogic.csproj
@@ -0,0 +1,67 @@
+<?xml version="1.0" encoding="utf-8"?>
+<Project ToolsVersion="15.0" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
+  <Import Project="$(MSBuildExtensionsPath)\$(MSBuildToolsVersion)\Microsoft.Common.props" Condition="Exists('$(MSBuildExtensionsPath)\$(MSBuildToolsVersion)\Microsoft.Common.props')" />
+  <PropertyGroup>
+    <Configuration Condition=" '$(Configuration)' == '' ">Debug</Configuration>
+    <Platform Condition=" '$(Platform)' == '' ">AnyCPU</Platform>
+    <ProjectGuid>{F904DA9B-8BA5-4803-88C1-24A6471C7FEF}</ProjectGuid>
+    <OutputType>Library</OutputType>
+    <AppDesignerFolder>Properties</AppDesignerFolder>
+    <RootNamespace>BusinessLogic</RootNamespace>
+    <AssemblyName>BusinessLogic</AssemblyName>
+    <TargetFrameworkVersion>v4.8</TargetFrameworkVersion>
+    <FileAlignment>512</FileAlignment>
+    <Deterministic>true</Deterministic>
+  </PropertyGroup>
+  <PropertyGroup Condition=" '$(Configuration)|$(Platform)' == 'Debug|AnyCPU' ">
+    <DebugSymbols>true</DebugSymbols>
+    <DebugType>full</DebugType>
+    <Optimize>false</Optimize>
+    <OutputPath>bin\Debug\</OutputPath>
+    <DefineConstants>DEBUG;TRACE</DefineConstants>
+    <ErrorReport>prompt</ErrorReport>
+    <WarningLevel>4</WarningLevel>
+  </PropertyGroup>
+  <PropertyGroup Condition=" '$(Configuration)|$(Platform)' == 'Release|AnyCPU' ">
+    <DebugType>pdbonly</DebugType>
+    <Optimize>true</Optimize>
+    <OutputPath>bin\Release\</OutputPath>
+    <DefineConstants>TRACE</DefineConstants>
+    <ErrorReport>prompt</ErrorReport>
+    <WarningLevel>4</WarningLevel>
+  </PropertyGroup>
+  <ItemGroup>
+    <Reference Include="System" />
+    <Reference Include="System.Core" />
+    <Reference Include="System.Xml.Linq" />
+    <Reference Include="System.Data.DataSetExtensions" />
+    <Reference Include="Microsoft.CSharp" />
+    <Reference Include="System.Data" />
+    <Reference Include="System.Net.Http" />
+    <Reference Include="System.Xml" />
+  </ItemGroup>
+  <ItemGroup>
+    <Compile Include="Algorithms\Algorithm.cs" />
+    <Compile Include="Algorithms\BranchAndBoundSimplex.cs" />
+    <Compile Include="Algorithms\CuttingPlane.cs" />
+    <Compile Include="Algorithms\DualSimplex.cs" />
+    <Compile Include="Algorithms\PrimalSimplex.cs" />
+    <Compile Include="Algorithms\TwoPhaseSimplex.cs" />
+    <Compile Include="BinaryTree.cs" />
+    <Compile Include="BinaryTreeNode.cs" />
+    <Compile Include="ListCloner.cs" />
+    <Compile Include="ModelSolver.cs" />
+    <Compile Include="Properties\AssemblyInfo.cs" />
+  </ItemGroup>
+  <ItemGroup>
+    <ProjectReference Include="..\DataAccess\DataAccess.csproj">
+      <Project>{02E85643-5DA8-4A1E-AF07-10184FC132A0}</Project>
+      <Name>DataAccess</Name>
+    </ProjectReference>
+    <ProjectReference Include="..\Models\Common.csproj">
+      <Project>{04C11623-F02E-45C6-8C51-82244CFF4780}</Project>
+      <Name>Common</Name>
+    </ProjectReference>
+  </ItemGroup>
+  <Import Project="$(MSBuildToolsPath)\Microsoft.CSharp.targets" />
+</Project>
--- a/BusinessLogic/ListCloner.cs
+++ b/BusinessLogic/ListCloner.cs
@@ -0,0 +1,57 @@
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Text;
+using System.Threading.Tasks;
+
+namespace BusinessLogic
+{
+    public class ListCloner
+    {
+        public static List<List<List<double>>> CloneList(List<List<List<double>>> oldList)
+        {
+            List<List<List<double>>> newList = new List<List<List<double>>>();
+
+            int iterationCount = oldList.Count;
+            int rowCount = oldList[0].Count;
+            int colCount = oldList[0][0].Count;
+
+            for (int i = 0; i < iterationCount; i++)
+            {
+                var table = new List<List<double>>();
+                for (int j = 0; j < rowCount; j++)
+                {
+                    var row = new List<double>();
+                    for (int k = 0; k < colCount; k++)
+                    {
+                        row.Add(oldList[i][j][k]);
+                    }
+                    table.Add(row);
+                }
+                newList.Add(table);
+            }
+
+            return newList;
+        }
+
+        public static List<List<double>> CloneList(List<List<double>> oldList)
+        {
+            List<List<double>> newList = new List<List<double>>();
+
+            int rowCount = oldList.Count;
+            int colCount = oldList[0].Count;
+
+            for (int i = 0; i < rowCount; i++)
+            {
+                var newRow = new List<double>();
+                for (int j = 0; j < colCount; j++)
+                {
+                    newRow.Add(oldList[i][j]);
+                }
+                newList.Add(newRow);
+            }
+
+            return newList;
+        }
+    }
+}
--- a/BusinessLogic/ModelSolver.cs
+++ b/BusinessLogic/ModelSolver.cs
@@ -0,0 +1,25 @@
+using BusinessLogic.Algorithms;
+using Common;
+using DataAccess;
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Text;
+using System.Threading.Tasks;
+
+namespace BusinessLogic
+{
+    public class ModelSolver
+    {
+        public static void Solve(Model model, Algorithm algorithm)
+        {
+            algorithm.PutModelInCanonicalForm(model);
+
+            algorithm.Solve(model);
+
+            Console.Clear();
+            Console.WriteLine("Here is the solution:");
+            Console.WriteLine("=========================================================================================================");
+        }
+    }
+}
--- a/BusinessLogic/Properties/AssemblyInfo.cs
+++ b/BusinessLogic/Properties/AssemblyInfo.cs
@@ -0,0 +1,36 @@
+using System.Reflection;
+using System.Runtime.CompilerServices;
+using System.Runtime.InteropServices;
+
+// General Information about an assembly is controlled through the following
+// set of attributes. Change these attribute values to modify the information
+// associated with an assembly.
+[assembly: AssemblyTitle("BusinessLogic")]
+[assembly: AssemblyDescription("")]
+[assembly: AssemblyConfiguration("")]
+[assembly: AssemblyCompany("")]
+[assembly: AssemblyProduct("BusinessLogic")]
+[assembly: AssemblyCopyright("Copyright ©  2021")]
+[assembly: AssemblyTrademark("")]
+[assembly: AssemblyCulture("")]
+
+// Setting ComVisible to false makes the types in this assembly not visible
+// to COM components.  If you need to access a type in this assembly from
+// COM, set the ComVisible attribute to true on that type.
+[assembly: ComVisible(false)]
+
+// The following GUID is for the ID of the typelib if this project is exposed to COM
+[assembly: Guid("f904da9b-8ba5-4803-88c1-24a6471c7fef")]
+
+// Version information for an assembly consists of the following four values:
+//
+//      Major Version
+//      Minor Version
+//      Build Number
+//      Revision
+//
+// You can specify all the values or you can default the Build and Revision Numbers
+// by using the '*' as shown below:
+// [assembly: AssemblyVersion("1.0.*")]
+[assembly: AssemblyVersion("1.0.0.0")]
+[assembly: AssemblyFileVersion("1.0.0.0")]
--- a/DataAccess/DataAccess.csproj
+++ b/DataAccess/DataAccess.csproj
@@ -0,0 +1,77 @@
+<?xml version="1.0" encoding="utf-8"?>
+<Project ToolsVersion="15.0" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
+  <Import Project="$(MSBuildExtensionsPath)\$(MSBuildToolsVersion)\Microsoft.Common.props" Condition="Exists('$(MSBuildExtensionsPath)\$(MSBuildToolsVersion)\Microsoft.Common.props')" />
+  <PropertyGroup>
+    <Configuration Condition=" '$(Configuration)' == '' ">Debug</Configuration>
+    <Platform Condition=" '$(Platform)' == '' ">AnyCPU</Platform>
+    <ProjectGuid>{02E85643-5DA8-4A1E-AF07-10184FC132A0}</ProjectGuid>
+    <OutputType>Library</OutputType>
+    <AppDesignerFolder>Properties</AppDesignerFolder>
+    <RootNamespace>DataAccess</RootNamespace>
+    <AssemblyName>DataAccess</AssemblyName>
+    <TargetFrameworkVersion>v4.8</TargetFrameworkVersion>
+    <FileAlignment>512</FileAlignment>
+    <Deterministic>true</Deterministic>
+  </PropertyGroup>
+  <PropertyGroup Condition=" '$(Configuration)|$(Platform)' == 'Debug|AnyCPU' ">
+    <DebugSymbols>true</DebugSymbols>
+    <DebugType>full</DebugType>
+    <Optimize>false</Optimize>
+    <OutputPath>bin\Debug\</OutputPath>
+    <DefineConstants>DEBUG;TRACE</DefineConstants>
+    <ErrorReport>prompt</ErrorReport>
+    <WarningLevel>4</WarningLevel>
+  </PropertyGroup>
+  <PropertyGroup Condition=" '$(Configuration)|$(Platform)' == 'Release|AnyCPU' ">
+    <DebugType>pdbonly</DebugType>
+    <Optimize>true</Optimize>
+    <OutputPath>bin\Release\</OutputPath>
+    <DefineConstants>TRACE</DefineConstants>
+    <ErrorReport>prompt</ErrorReport>
+    <WarningLevel>4</WarningLevel>
+  </PropertyGroup>
+  <ItemGroup>
+    <Reference Include="System" />
+    <Reference Include="System.Core" />
+    <Reference Include="System.Xml.Linq" />
+    <Reference Include="System.Data.DataSetExtensions" />
+    <Reference Include="Microsoft.CSharp" />
+    <Reference Include="System.Data" />
+    <Reference Include="System.Net.Http" />
+    <Reference Include="System.Xml" />
+  </ItemGroup>
+  <ItemGroup>
+    <Compile Include="ModelReader.cs" />
+    <Compile Include="Properties\AssemblyInfo.cs" />
+  </ItemGroup>
+  <ItemGroup>
+    <ProjectReference Include="..\Models\Common.csproj">
+      <Project>{04C11623-F02E-45C6-8C51-82244CFF4780}</Project>
+      <Name>Common</Name>
+    </ProjectReference>
+  </ItemGroup>
+  <ItemGroup>
+    <Content Include="acme.txt">
+      <CopyToOutputDirectory>Always</CopyToOutputDirectory>
+    </Content>
+    <Content Include="branch.txt">
+      <CopyToOutputDirectory>Always</CopyToOutputDirectory>
+    </Content>
+    <Content Include="cut.txt">
+      <CopyToOutputDirectory>Always</CopyToOutputDirectory>
+    </Content>
+    <Content Include="farmer.txt">
+      <CopyToOutputDirectory>Always</CopyToOutputDirectory>
+    </Content>
+    <Content Include="korean.txt">
+      <CopyToOutputDirectory>Always</CopyToOutputDirectory>
+    </Content>
+    <Content Include="limpopo.txt">
+      <CopyToOutputDirectory>Always</CopyToOutputDirectory>
+    </Content>
+    <Content Include="santa.txt">
+      <CopyToOutputDirectory>Always</CopyToOutputDirectory>
+    </Content>
+  </ItemGroup>
+  <Import Project="$(MSBuildToolsPath)\Microsoft.CSharp.targets" />
+</Project>
--- a/DataAccess/ModelReader.cs
+++ b/DataAccess/ModelReader.cs
@@ -0,0 +1,164 @@
+using Common;
+using Models;
+using System;
+using System.Collections.Generic;
+using System.IO;
+using System.Linq;
+using System.Text;
+using System.Threading.Tasks;
+
+namespace DataAccess
+{
+    public class ModelReader
+    {
+        public static Model ReadModelFromFile(string path)
+        {
+            List<string> lines = new List<string>();
+
+            try
+            {
+                using (FileStream fileStream = new FileStream(path, FileMode.Open, FileAccess.Read))
+                {
+                    using (StreamReader reader = new StreamReader(fileStream))
+                    {
+                        while (!reader.EndOfStream)
+                        {
+                            lines.Add(reader.ReadLine());
+                        }
+                    }
+                }
+
+                return ConvertToModel(lines);
+            }
+            catch (FileNotFoundException)
+            {
+                throw new CustomException("Could not find the specified file");
+            }
+            catch (DirectoryNotFoundException)
+            {
+                throw new CustomException("Could not find the specified directory");
+            }
+            catch (ArgumentException)
+            {
+                throw new CustomException("The specified path was invalid");
+            }
+            catch (IOException)
+            {
+                throw new CustomException("There was an error reading the specified file");
+            }
+        }
+
+        private static Model ConvertToModel(List<string> lines)
+        {
+            Model model = new Model();
+
+            try
+            {
+                if (lines.Count < 1)
+                {
+                    throw new CustomException("The specified file is empty");
+                }
+
+                string[] objectiveFunction = lines[0].Split(' ');
+
+                if (!(objectiveFunction[0].ToLower().Equals("max") || objectiveFunction[0].ToLower().Equals("min")))
+                {
+                    throw new CustomException("The given problem does not specify whether to maximize or minimize the objective function");
+                }
+
+                model.ProblemType = objectiveFunction[0].ToLower().Equals("max") ? ProblemType.Maximization : ProblemType.Minimization;
+
+                for (int i = 1; i < objectiveFunction.Length; i++)
+                {
+                    model.ObjectiveFunction.DecisionVariables.Add(new DecisionVariable() { Coefficient = double.Parse(objectiveFunction[i]) });
+                }
+
+                if (lines.Count < 2)
+                {
+                    throw new CustomException("The given problem does not contain any constraints");
+                }
+
+                for (int i = 1; i < lines.Count - 1; i++)
+                {
+                    string[] constraintArr = lines[i].Split(' ');
+                    Constraint constraint = new Constraint();
+
+                    for (int j = 0; j < constraintArr.Length - 2; j++)
+                    {
+                        constraint.DecisionVariables.Add(new DecisionVariable() { Coefficient = double.Parse(constraintArr[j]) });
+                    }
+
+                    switch (constraintArr[constraintArr.Length - 2])
+                    {
+                        case "=":
+                            {
+                                constraint.InequalitySign = InequalitySign.EqualTo;
+                            }
+                            break;
+                        case "<=":
+                            {
+                                constraint.InequalitySign = InequalitySign.LessThanOrEqualTo;
+                            }
+                            break;
+                        case ">=":
+                            {
+                                constraint.InequalitySign = InequalitySign.GreaterThanOrEqualTo;
+                            }
+                            break;
+                        default:
+                            {
+                                throw new CustomException($"Constraint {model.Constraints.Count + 1} does not have a valid inequality symbol");
+                            }
+                    }
+
+                    constraint.RightHandSide = double.Parse(constraintArr[constraintArr.Length - 1]);
+                    model.Constraints.Add(constraint);
+                }
+
+                string[] signRestrictions = lines[lines.Count - 1].Split(' ');
+
+                foreach (var restriction in signRestrictions)
+                {
+                    switch (restriction.ToLower())
+                    {
+                        case "+":
+                            {
+                                model.SignRestrictions.Add(SignRestriction.Positive);
+                            }
+                            break;
+                        case "-":
+                            {
+                                model.SignRestrictions.Add(SignRestriction.Negative);
+                            }
+                            break;
+                        case "urs":
+                            {
+                                model.SignRestrictions.Add(SignRestriction.Unrestricted);
+                            }
+                            break;
+                        case "int":
+                            {
+                                model.SignRestrictions.Add(SignRestriction.Integer);
+                            }
+                            break;
+                        case "bin":
+                            {
+                                model.SignRestrictions.Add(SignRestriction.Binary);
+                            }
+                            break;
+                        default:
+                            {
+                                throw new CustomException("Invalid sign restriction found");
+                            }
+                    }
+                }
+            }
+            catch (FormatException)
+            {
+                throw new CustomException("One of the decision variables has an invalid coefficient");
+            }
+
+            return model;
+        }
+    }
+}
--- a/DataAccess/Properties/AssemblyInfo.cs
+++ b/DataAccess/Properties/AssemblyInfo.cs
@@ -0,0 +1,36 @@
+using System.Reflection;
+using System.Runtime.CompilerServices;
+using System.Runtime.InteropServices;
+
+// General Information about an assembly is controlled through the following
+// set of attributes. Change these attribute values to modify the information
+// associated with an assembly.
+[assembly: AssemblyTitle("DataAccess")]
+[assembly: AssemblyDescription("")]
+[assembly: AssemblyConfiguration("")]
+[assembly: AssemblyCompany("")]
+[assembly: AssemblyProduct("DataAccess")]
+[assembly: AssemblyCopyright("Copyright ©  2021")]
+[assembly: AssemblyTrademark("")]
+[assembly: AssemblyCulture("")]
+
+// Setting ComVisible to false makes the types in this assembly not visible
+// to COM components.  If you need to access a type in this assembly from
+// COM, set the ComVisible attribute to true on that type.
+[assembly: ComVisible(false)]
+
+// The following GUID is for the ID of the typelib if this project is exposed to COM
+[assembly: Guid("02e85643-5da8-4a1e-af07-10184fc132a0")]
+
+// Version information for an assembly consists of the following four values:
+//
+//      Major Version
+//      Minor Version
+//      Build Number
+//      Revision
+//
+// You can specify all the values or you can default the Build and Revision Numbers
+// by using the '*' as shown below:
+// [assembly: AssemblyVersion("1.0.*")]
+[assembly: AssemblyVersion("1.0.0.0")]
+[assembly: AssemblyFileVersion("1.0.0.0")]
--- a/DataAccess/acme.txt
+++ b/DataAccess/acme.txt
@@ -0,0 +1,5 @@
+min +4 +1
+3 +1 >= 10
+1 +1 >= 5
+1 +0 >= 3
+ +
--- a/DataAccess/branch.txt
+++ b/DataAccess/branch.txt
@@ -0,0 +1,4 @@
+max +8 +5
+1 +1 <= +6
+9 +5 <= +45
+int int
--- a/DataAccess/cut.txt
+++ b/DataAccess/cut.txt
@@ -0,0 +1,4 @@
+min +6 +8
+3 +1 >= 4
+1 +2 >= 4
+int int
--- a/DataAccess/farmer.txt
+++ b/DataAccess/farmer.txt
@@ -0,0 +1,5 @@
+max +100 +30
+1 +1 <= +7
+10 +4 <= 40
+0 +1 >= 3
+ +
--- a/DataAccess/korean.txt
+++ b/DataAccess/korean.txt
@@ -0,0 +1,4 @@
+min +50 +100
+7 +2 >= +28
+2 +12 >= +24
+ +
--- a/DataAccess/limpopo.txt
+++ b/DataAccess/limpopo.txt
@@ -0,0 +1,6 @@
+max +60 +30 +20
+8 +6 +1 <= +48
+4 +2 +1,5 <= +20
+2 +1,5 +0,5 <= +8
+0 +1 +0 <= +5
+ + +
--- a/DataAccess/santa.txt
+++ b/DataAccess/santa.txt
@@ -0,0 +1,5 @@
+max +3 +2
+2 +1 <= 100
+1 +1 <= 80
+1 +0 <= 40
+ +
--- a/LPR381_Project.sln
+++ b/LPR381_Project.sln
@@ -0,0 +1,49 @@
+
+Microsoft Visual Studio Solution File, Format Version 12.00
+# Visual Studio Version 16
+VisualStudioVersion = 16.0.31624.102
+MinimumVisualStudioVersion = 10.0.40219.1
+Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "Solve", "LPR381_Project\Solve.csproj", "{00C7750A-2297-460E-AABD-2AC53FFD1F17}"
+EndProject
+Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "BusinessLogic", "BusinessLogic\BusinessLogic.csproj", "{F904DA9B-8BA5-4803-88C1-24A6471C7FEF}"
+EndProject
+Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "Presentation", "Presentation\Presentation.csproj", "{377D38FE-AA9D-4AB0-B743-9E80AA0C82C4}"
+EndProject
+Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "DataAccess", "DataAccess\DataAccess.csproj", "{02E85643-5DA8-4A1E-AF07-10184FC132A0}"
+EndProject
+Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "Common", "Models\Common.csproj", "{04C11623-F02E-45C6-8C51-82244CFF4780}"
+EndProject
+Global
+	GlobalSection(SolutionConfigurationPlatforms) = preSolution
+		Debug|Any CPU = Debug|Any CPU
+		Release|Any CPU = Release|Any CPU
+	EndGlobalSection
+	GlobalSection(ProjectConfigurationPlatforms) = postSolution
+		{00C7750A-2297-460E-AABD-2AC53FFD1F17}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
+		{00C7750A-2297-460E-AABD-2AC53FFD1F17}.Debug|Any CPU.Build.0 = Debug|Any CPU
+		{00C7750A-2297-460E-AABD-2AC53FFD1F17}.Release|Any CPU.ActiveCfg = Release|Any CPU
+		{00C7750A-2297-460E-AABD-2AC53FFD1F17}.Release|Any CPU.Build.0 = Release|Any CPU
+		{F904DA9B-8BA5-4803-88C1-24A6471C7FEF}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
+		{F904DA9B-8BA5-4803-88C1-24A6471C7FEF}.Debug|Any CPU.Build.0 = Debug|Any CPU
+		{F904DA9B-8BA5-4803-88C1-24A6471C7FEF}.Release|Any CPU.ActiveCfg = Release|Any CPU
+		{F904DA9B-8BA5-4803-88C1-24A6471C7FEF}.Release|Any CPU.Build.0 = Release|Any CPU
+		{377D38FE-AA9D-4AB0-B743-9E80AA0C82C4}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
+		{377D38FE-AA9D-4AB0-B743-9E80AA0C82C4}.Debug|Any CPU.Build.0 = Debug|Any CPU
+		{377D38FE-AA9D-4AB0-B743-9E80AA0C82C4}.Release|Any CPU.ActiveCfg = Release|Any CPU
+		{377D38FE-AA9D-4AB0-B743-9E80AA0C82C4}.Release|Any CPU.Build.0 = Release|Any CPU
+		{02E85643-5DA8-4A1E-AF07-10184FC132A0}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
+		{02E85643-5DA8-4A1E-AF07-10184FC132A0}.Debug|Any CPU.Build.0 = Debug|Any CPU
+		{02E85643-5DA8-4A1E-AF07-10184FC132A0}.Release|Any CPU.ActiveCfg = Release|Any CPU
+		{02E85643-5DA8-4A1E-AF07-10184FC132A0}.Release|Any CPU.Build.0 = Release|Any CPU
+		{04C11623-F02E-45C6-8C51-82244CFF4780}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
+		{04C11623-F02E-45C6-8C51-82244CFF4780}.Debug|Any CPU.Build.0 = Debug|Any CPU
+		{04C11623-F02E-45C6-8C51-82244CFF4780}.Release|Any CPU.ActiveCfg = Release|Any CPU
+		{04C11623-F02E-45C6-8C51-82244CFF4780}.Release|Any CPU.Build.0 = Release|Any CPU
+	EndGlobalSection
+	GlobalSection(SolutionProperties) = preSolution
+		HideSolutionNode = FALSE
+	EndGlobalSection
+	GlobalSection(ExtensibilityGlobals) = postSolution
+		SolutionGuid = {9EF1E2C9-7C61-4DE5-8087-F1E388B2B976}
+	EndGlobalSection
+EndGlobal
--- a/LPR381_Project/App.config
+++ b/LPR381_Project/App.config
@@ -0,0 +1,6 @@
+<?xml version="1.0" encoding="utf-8" ?>
+<configuration>
+    <startup> 
+        <supportedRuntime version="v4.0" sku=".NETFramework,Version=v4.8" />
+    </startup>
+</configuration>
--- a/LPR381_Project/Program.cs
+++ b/LPR381_Project/Program.cs
@@ -0,0 +1,20 @@
+using DataAccess;
+using Models;
+using Presentation;
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Text;
+using System.Threading.Tasks;
+
+namespace LPR381_Project
+{
+    class Program
+    {
+        static void Main(string[] args)
+        {
+            MainMenu.Run();
+            Console.ReadKey();
+        }
+    }
+}
--- a/LPR381_Project/Properties/AssemblyInfo.cs
+++ b/LPR381_Project/Properties/AssemblyInfo.cs
@@ -0,0 +1,36 @@
+using System.Reflection;
+using System.Runtime.CompilerServices;
+using System.Runtime.InteropServices;
+
+// General Information about an assembly is controlled through the following
+// set of attributes. Change these attribute values to modify the information
+// associated with an assembly.
+[assembly: AssemblyTitle("LPR381_Project")]
+[assembly: AssemblyDescription("")]
+[assembly: AssemblyConfiguration("")]
+[assembly: AssemblyCompany("")]
+[assembly: AssemblyProduct("LPR381_Project")]
+[assembly: AssemblyCopyright("Copyright ©  2021")]
+[assembly: AssemblyTrademark("")]
+[assembly: AssemblyCulture("")]
+
+// Setting ComVisible to false makes the types in this assembly not visible
+// to COM components.  If you need to access a type in this assembly from
+// COM, set the ComVisible attribute to true on that type.
+[assembly: ComVisible(false)]
+
+// The following GUID is for the ID of the typelib if this project is exposed to COM
+[assembly: Guid("00c7750a-2297-460e-aabd-2ac53ffd1f17")]
+
+// Version information for an assembly consists of the following four values:
+//
+//      Major Version
+//      Minor Version
+//      Build Number
+//      Revision
+//
+// You can specify all the values or you can default the Build and Revision Numbers
+// by using the '*' as shown below:
+// [assembly: AssemblyVersion("1.0.*")]
+[assembly: AssemblyVersion("1.0.0.0")]
+[assembly: AssemblyFileVersion("1.0.0.0")]
--- a/LPR381_Project/Solve.csproj
+++ b/LPR381_Project/Solve.csproj
@@ -0,0 +1,67 @@
+<?xml version="1.0" encoding="utf-8"?>
+<Project ToolsVersion="15.0" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
+  <Import Project="$(MSBuildExtensionsPath)\$(MSBuildToolsVersion)\Microsoft.Common.props" Condition="Exists('$(MSBuildExtensionsPath)\$(MSBuildToolsVersion)\Microsoft.Common.props')" />
+  <PropertyGroup>
+    <Configuration Condition=" '$(Configuration)' == '' ">Debug</Configuration>
+    <Platform Condition=" '$(Platform)' == '' ">AnyCPU</Platform>
+    <ProjectGuid>{00C7750A-2297-460E-AABD-2AC53FFD1F17}</ProjectGuid>
+    <OutputType>Exe</OutputType>
+    <RootNamespace>LPR381_Project</RootNamespace>
+    <AssemblyName>LPR381_Project</AssemblyName>
+    <TargetFrameworkVersion>v4.8</TargetFrameworkVersion>
+    <FileAlignment>512</FileAlignment>
+    <AutoGenerateBindingRedirects>true</AutoGenerateBindingRedirects>
+    <Deterministic>true</Deterministic>
+  </PropertyGroup>
+  <PropertyGroup Condition=" '$(Configuration)|$(Platform)' == 'Debug|AnyCPU' ">
+    <PlatformTarget>AnyCPU</PlatformTarget>
+    <DebugSymbols>true</DebugSymbols>
+    <DebugType>full</DebugType>
+    <Optimize>false</Optimize>
+    <OutputPath>bin\Debug\</OutputPath>
+    <DefineConstants>DEBUG;TRACE</DefineConstants>
+    <ErrorReport>prompt</ErrorReport>
+    <WarningLevel>4</WarningLevel>
+  </PropertyGroup>
+  <PropertyGroup Condition=" '$(Configuration)|$(Platform)' == 'Release|AnyCPU' ">
+    <PlatformTarget>AnyCPU</PlatformTarget>
+    <DebugType>pdbonly</DebugType>
+    <Optimize>true</Optimize>
+    <OutputPath>bin\Release\</OutputPath>
+    <DefineConstants>TRACE</DefineConstants>
+    <ErrorReport>prompt</ErrorReport>
+    <WarningLevel>4</WarningLevel>
+  </PropertyGroup>
+  <ItemGroup>
+    <Reference Include="System" />
+    <Reference Include="System.Core" />
+    <Reference Include="System.Xml.Linq" />
+    <Reference Include="System.Data.DataSetExtensions" />
+    <Reference Include="Microsoft.CSharp" />
+    <Reference Include="System.Data" />
+    <Reference Include="System.Net.Http" />
+    <Reference Include="System.Xml" />
+  </ItemGroup>
+  <ItemGroup>
+    <Compile Include="Program.cs" />
+    <Compile Include="Properties\AssemblyInfo.cs" />
+  </ItemGroup>
+  <ItemGroup>
+    <None Include="App.config" />
+  </ItemGroup>
+  <ItemGroup>
+    <ProjectReference Include="..\DataAccess\DataAccess.csproj">
+      <Project>{02E85643-5DA8-4A1E-AF07-10184FC132A0}</Project>
+      <Name>DataAccess</Name>
+    </ProjectReference>
+    <ProjectReference Include="..\Models\Common.csproj">
+      <Project>{04C11623-F02E-45C6-8C51-82244CFF4780}</Project>
+      <Name>Common</Name>
+    </ProjectReference>
+    <ProjectReference Include="..\Presentation\Presentation.csproj">
+      <Project>{377D38FE-AA9D-4AB0-B743-9E80AA0C82C4}</Project>
+      <Name>Presentation</Name>
+    </ProjectReference>
+  </ItemGroup>
+  <Import Project="$(MSBuildToolsPath)\Microsoft.CSharp.targets" />
+</Project>
--- a/Models/Common.csproj
+++ b/Models/Common.csproj
@@ -0,0 +1,56 @@
+<?xml version="1.0" encoding="utf-8"?>
+<Project ToolsVersion="15.0" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
+  <Import Project="$(MSBuildExtensionsPath)\$(MSBuildToolsVersion)\Microsoft.Common.props" Condition="Exists('$(MSBuildExtensionsPath)\$(MSBuildToolsVersion)\Microsoft.Common.props')" />
+  <PropertyGroup>
+    <Configuration Condition=" '$(Configuration)' == '' ">Debug</Configuration>
+    <Platform Condition=" '$(Platform)' == '' ">AnyCPU</Platform>
+    <ProjectGuid>{04C11623-F02E-45C6-8C51-82244CFF4780}</ProjectGuid>
+    <OutputType>Library</OutputType>
+    <AppDesignerFolder>Properties</AppDesignerFolder>
+    <RootNamespace>Models</RootNamespace>
+    <AssemblyName>Models</AssemblyName>
+    <TargetFrameworkVersion>v4.8</TargetFrameworkVersion>
+    <FileAlignment>512</FileAlignment>
+    <Deterministic>true</Deterministic>
+  </PropertyGroup>
+  <PropertyGroup Condition=" '$(Configuration)|$(Platform)' == 'Debug|AnyCPU' ">
+    <DebugSymbols>true</DebugSymbols>
+    <DebugType>full</DebugType>
+    <Optimize>false</Optimize>
+    <OutputPath>bin\Debug\</OutputPath>
+    <DefineConstants>DEBUG;TRACE</DefineConstants>
+    <ErrorReport>prompt</ErrorReport>
+    <WarningLevel>4</WarningLevel>
+  </PropertyGroup>
+  <PropertyGroup Condition=" '$(Configuration)|$(Platform)' == 'Release|AnyCPU' ">
+    <DebugType>pdbonly</DebugType>
+    <Optimize>true</Optimize>
+    <OutputPath>bin\Release\</OutputPath>
+    <DefineConstants>TRACE</DefineConstants>
+    <ErrorReport>prompt</ErrorReport>
+    <WarningLevel>4</WarningLevel>
+  </PropertyGroup>
+  <ItemGroup>
+    <Reference Include="System" />
+    <Reference Include="System.Core" />
+    <Reference Include="System.Xml.Linq" />
+    <Reference Include="System.Data.DataSetExtensions" />
+    <Reference Include="Microsoft.CSharp" />
+    <Reference Include="System.Data" />
+    <Reference Include="System.Net.Http" />
+    <Reference Include="System.Xml" />
+  </ItemGroup>
+  <ItemGroup>
+    <Compile Include="Constraint.cs" />
+    <Compile Include="CustomException.cs" />
+    <Compile Include="DecisionVariable.cs" />
+    <Compile Include="InequalitySign.cs" />
+    <Compile Include="InfeasibleException.cs" />
+    <Compile Include="Model.cs" />
+    <Compile Include="ObjectiveFunction.cs" />
+    <Compile Include="ProblemType.cs" />
+    <Compile Include="Properties\AssemblyInfo.cs" />
+    <Compile Include="SignRestriction.cs" />
+  </ItemGroup>
+  <Import Project="$(MSBuildToolsPath)\Microsoft.CSharp.targets" />
+</Project>
--- a/Models/Constraint.cs
+++ b/Models/Constraint.cs
@@ -0,0 +1,15 @@
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Text;
+using System.Threading.Tasks;
+
+namespace Common
+{
+    public class Constraint
+    {
+        public List<DecisionVariable> DecisionVariables { get; set; } = new List<DecisionVariable>();
+        public InequalitySign InequalitySign { get; set; }
+        public double RightHandSide { get; set; }
+    }
+}
--- a/Models/CustomException.cs
+++ b/Models/CustomException.cs
@@ -0,0 +1,20 @@
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Text;
+using System.Threading.Tasks;
+
+namespace Models
+{
+
+    [Serializable]
+    public class CustomException : Exception
+    {
+        public CustomException() { }
+        public CustomException(string message) : base(message) { }
+        public CustomException(string message, Exception inner) : base(message, inner) { }
+        protected CustomException(
+          System.Runtime.Serialization.SerializationInfo info,
+          System.Runtime.Serialization.StreamingContext context) : base(info, context) { }
+    }
+}
--- a/Models/DecisionVariable.cs
+++ b/Models/DecisionVariable.cs
@@ -0,0 +1,13 @@
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Text;
+using System.Threading.Tasks;
+
+namespace Common
+{
+    public class DecisionVariable
+    {
+        public double Coefficient { get; set; }
+    }
+}
--- a/Models/InequalitySign.cs
+++ b/Models/InequalitySign.cs
@@ -0,0 +1,15 @@
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Text;
+using System.Threading.Tasks;
+
+namespace Common
+{
+    public enum InequalitySign
+    {
+        EqualTo,
+        LessThanOrEqualTo,
+        GreaterThanOrEqualTo
+    }
+}
--- a/Models/InfeasibleException.cs
+++ b/Models/InfeasibleException.cs
@@ -0,0 +1,20 @@
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Text;
+using System.Threading.Tasks;
+
+namespace Models
+{
+
+    [Serializable]
+    public class InfeasibleException : Exception
+    {
+        public InfeasibleException() { }
+        public InfeasibleException(string message) : base(message) { }
+        public InfeasibleException(string message, Exception inner) : base(message, inner) { }
+        protected InfeasibleException(
+          System.Runtime.Serialization.SerializationInfo info,
+          System.Runtime.Serialization.StreamingContext context) : base(info, context) { }
+    }
+}
--- a/Models/Model.cs
+++ b/Models/Model.cs
@@ -0,0 +1,29 @@
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Text;
+using System.Threading.Tasks;
+
+namespace Common
+{
+    public class Model
+    {
+        public Model() { }
+
+        // A copy constructor so that we can clone Model objects without reference
+        public Model(Model model)
+        {
+            this.ProblemType = model.ProblemType;
+            this.ObjectiveFunction = model.ObjectiveFunction;
+            this.Constraints = model.Constraints;
+            this.SignRestrictions = model.SignRestrictions;
+            this.Result = model.Result;
+        }
+
+        public ProblemType ProblemType { get; set; }
+        public ObjectiveFunction ObjectiveFunction { get; set; } = new ObjectiveFunction();
+        public List<Constraint> Constraints { get; set; } = new List<Constraint>();
+        public List<SignRestriction> SignRestrictions { get; set; } = new List<SignRestriction>();
+        public List<List<List<double>>> Result { get; set; } = new List<List<List<double>>>();
+    }
+}
--- a/Models/ObjectiveFunction.cs
+++ b/Models/ObjectiveFunction.cs
@@ -0,0 +1,13 @@
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Text;
+using System.Threading.Tasks;
+
+namespace Common
+{
+    public class ObjectiveFunction
+    {
+        public List<DecisionVariable> DecisionVariables { get; set; } = new List<DecisionVariable>();
+    }
+}
--- a/Models/ProblemType.cs
+++ b/Models/ProblemType.cs
@@ -0,0 +1,14 @@
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Text;
+using System.Threading.Tasks;
+
+namespace Common
+{
+    public enum ProblemType
+    {
+        Maximization,
+        Minimization
+    }
+}
--- a/Models/Properties/AssemblyInfo.cs
+++ b/Models/Properties/AssemblyInfo.cs
@@ -0,0 +1,36 @@
+using System.Reflection;
+using System.Runtime.CompilerServices;
+using System.Runtime.InteropServices;
+
+// General Information about an assembly is controlled through the following
+// set of attributes. Change these attribute values to modify the information
+// associated with an assembly.
+[assembly: AssemblyTitle("Models")]
+[assembly: AssemblyDescription("")]
+[assembly: AssemblyConfiguration("")]
+[assembly: AssemblyCompany("")]
+[assembly: AssemblyProduct("Models")]
+[assembly: AssemblyCopyright("Copyright ©  2021")]
+[assembly: AssemblyTrademark("")]
+[assembly: AssemblyCulture("")]
+
+// Setting ComVisible to false makes the types in this assembly not visible
+// to COM components.  If you need to access a type in this assembly from
+// COM, set the ComVisible attribute to true on that type.
+[assembly: ComVisible(false)]
+
+// The following GUID is for the ID of the typelib if this project is exposed to COM
+[assembly: Guid("04c11623-f02e-45c6-8c51-82244cff4780")]
+
+// Version information for an assembly consists of the following four values:
+//
+//      Major Version
+//      Minor Version
+//      Build Number
+//      Revision
+//
+// You can specify all the values or you can default the Build and Revision Numbers
+// by using the '*' as shown below:
+// [assembly: AssemblyVersion("1.0.*")]
+[assembly: AssemblyVersion("1.0.0.0")]
+[assembly: AssemblyFileVersion("1.0.0.0")]
--- a/Models/SignRestriction.cs
+++ b/Models/SignRestriction.cs
@@ -0,0 +1,17 @@
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Text;
+using System.Threading.Tasks;
+
+namespace Common
+{
+    public enum SignRestriction
+    {
+        Positive,
+        Negative,
+        Unrestricted,
+        Integer,
+        Binary
+    }
+}
--- a/Presentation/MainMenu.cs
+++ b/Presentation/MainMenu.cs
@@ -0,0 +1,180 @@
+using BusinessLogic;
+using BusinessLogic.Algorithms;
+using Common;
+using DataAccess;
+using Models;
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Text;
+using System.Threading.Tasks;
+
+namespace Presentation
+{
+    public class MainMenu
+    {
+        public static void Run()
+        {
+            Model model = new Model();
+
+            try
+            {
+                Console.Clear();
+                Console.WriteLine("Welcome to the solver");
+                Console.WriteLine("=========================================================================================================");
+                Console.WriteLine("To get started, choose a premade text file that contains the model you would like to solve:");
+                Console.WriteLine("\nlimpopo.txt\nsanta.txt\nkorean.txt\nfarmer.txt\nbranch.txt\ncut.txt\nacme.txt\n");
+                string modelPath = Console.ReadLine();
+                Console.WriteLine("=========================================================================================================");
+                model = ModelReader.ReadModelFromFile(modelPath);
+                SolveModelUsingAlgorithm(model);
+            }
+            catch (CustomException ex)
+            {
+                Console.WriteLine($"There was an error. Details: {ex.Message}.");
+                Console.WriteLine("\nHere are the tables that were calculated before we ran into that error:");
+                SolvedModelPrinter.Print(model);
+                Console.WriteLine("\n\nPress any key to continue. . .");
+                Console.ReadKey();
+                Run();
+            }
+            catch (InfeasibleException ex)
+            {
+                Console.WriteLine($"There was an error. Details: {ex.Message}.");
+                Console.WriteLine("\nHere are the tables that were calculated before we ran into that error:");
+                SolvedModelPrinter.Print(model);
+                Console.WriteLine("\n\nPress any key to continue. . .");
+                Console.ReadKey();
+                Run();
+            }
+            catch (Exception ex)
+            {
+                Console.WriteLine($"There was an error. Details: {ex.Message}.");
+                Console.WriteLine("\nHere are the tables that were calculated before we ran into that error:");
+                SolvedModelPrinter.Print(model);
+                Console.WriteLine("\n\nPress any key to continue. . .");
+                Console.ReadKey();
+                Run();
+            }
+        }
+
+        private static void SolveModelUsingAlgorithm(Model model)
+        {
+            Console.Clear();
+            Console.WriteLine("Great! Now that we have your model, the next step is to choose an algorithm to solve it with.");
+            Console.WriteLine("Based on factors in your model, these are the available algorithms you can use:");
+            Console.WriteLine("=========================================================================================================");
+
+            string userInput;
+            Algorithm algorithm;
+
+            if (model.SignRestrictions.Contains(SignRestriction.Binary) || model.SignRestrictions.Contains(SignRestriction.Integer))
+            {
+                Console.WriteLine("BNB - Branch and Bound Simplex Algorithm");
+                Console.WriteLine("CP - Cutting Plane Algorithm");
+                userInput = Console.ReadLine();
+
+                switch (userInput.ToUpper())
+                {
+                    case "BNB":
+                        {
+                            algorithm = new BranchAndBoundSimplex();
+                        }
+                        break;
+                    case "CP":
+                        {
+                            algorithm = new CuttingPlane();
+                        }
+                        break;
+                    default:
+                        {
+                            throw new CustomException("Invalid selection made");
+                        }
+                }
+            }
+            else if (model.ProblemType == ProblemType.Minimization)
+            {
+                Console.WriteLine("DS - Dual Simplex Algorithm");
+                Console.WriteLine("TPS - Two Phase Simplex Algorithm");
+                userInput = Console.ReadLine();
+
+                switch (userInput.ToUpper())
+                {
+                    case "DS":
+                        {
+                            algorithm = new DualSimplex();
+                        }
+                        break;
+                    case "TPS":
+                        {
+                            algorithm = new TwoPhaseSimplex();
+                        }
+                        break;
+                    default:
+                        {
+                            throw new CustomException("Invalid selection made");
+                        }
+                }
+            }
+            else
+            {
+                if (!(model.Constraints.Any(c => c.InequalitySign == InequalitySign.EqualTo) ||
+                    model.Constraints.Any(c => c.InequalitySign == InequalitySign.GreaterThanOrEqualTo)))
+                {
+                    Console.WriteLine("PS - Primal Simplex");
+                    userInput = Console.ReadLine();
+
+                    switch (userInput.ToUpper())
+                    {
+                        case "PS":
+                            {
+                                algorithm = new PrimalSimplex();
+                            }
+                            break;
+                        default:
+                            {
+                                throw new CustomException("Invalid selection made");
+                            }
+                    }
+                }
+                else
+                {
+                    Console.WriteLine("DS - Dual Simplex Algorithm");
+                    Console.WriteLine("TPS - Two Phase Simplex Algorithm");
+                    userInput = Console.ReadLine();
+
+                    switch (userInput.ToUpper())
+                    {
+                        case "DS":
+                            {
+                                algorithm = new DualSimplex();
+                            }
+                            break;
+                        case "TPS":
+                            {
+                                algorithm = new TwoPhaseSimplex();
+                            }
+                            break;
+                        default:
+                            {
+                                throw new CustomException("Invalid selection made");
+                            }
+                    }
+                }
+            }
+
+            ModelSolver.Solve(model, algorithm);
+            
+            if (algorithm.GetType() == typeof(BranchAndBoundSimplex))
+            {
+                SolvedModelPrinter.Print((BranchAndBoundSimplex)algorithm);
+                ModelWriter.WriteResultsToFile((BranchAndBoundSimplex)algorithm);
+            }
+            else
+            {
+                SolvedModelPrinter.Print(model);
+                ModelWriter.WriteResultsToFile(model);
+            }
+        }
+    }
+}
--- a/Presentation/ModelWriter.cs
+++ b/Presentation/ModelWriter.cs
@@ -0,0 +1,121 @@
+using BusinessLogic.Algorithms;
+using Common;
+using System;
+using System.Collections.Generic;
+using System.IO;
+using System.Linq;
+using System.Text;
+using System.Threading.Tasks;
+
+namespace Presentation
+{
+    public class ModelWriter
+    {
+        public static void WriteResultsToFile(Model model)
+        {
+            var fileName = Guid.NewGuid().ToString() + ".txt";
+
+            using (FileStream stream = new FileStream(fileName, FileMode.Create, FileAccess.Write))
+            {
+                using (StreamWriter writer = new StreamWriter(stream))
+                {
+                    int iteration = 0;
+
+                    foreach (var table in model.Result)
+                    {
+                        writer.WriteLine($"\n\nTable {iteration}:");
+
+                        for (int i = 0; i < table.Count; i++)
+                        {
+                            for (int j = 0; j < table[0].Count; j++)
+                            {
+                                writer.Write($"\t{table[i][j]:0.###}");
+                            }
+                            writer.WriteLine();
+                        }
+
+                        iteration++;
+                    }
+                }
+            }
+
+            Console.WriteLine($"\n\nThe results have been written to the file: {fileName}");
+        }
+
+        public static void WriteResultsToFile(BranchAndBoundSimplex branchAndBoundSimplex)
+        {
+            var fileName = Guid.NewGuid().ToString() + ".txt";
+
+            using (FileStream stream = new FileStream(fileName, FileMode.Create, FileAccess.Write))
+            {
+                using (StreamWriter writer = new StreamWriter(stream))
+                {
+                    var tree = branchAndBoundSimplex.Results;
+                    WriteBranchResults(tree.Root, writer);
+                    List<List<double>> bestCandidate = branchAndBoundSimplex.GetBestCandidate();
+
+                    writer.WriteLine("\n\nThis is the best solution of all the candidates:\n");
+                    for (int i = 0; i < bestCandidate.Count; i++)
+                    {
+                        for (int j = 0; j < bestCandidate[i].Count; j++)
+                        {
+                            writer.Write($"\t{bestCandidate[i][j]:0.###}");
+                        }
+                        writer.WriteLine();
+                    }
+                }
+            }
+
+            Console.WriteLine($"\n\nThe results have been written to the file: {fileName}");
+        }
+
+        private static void WriteBranchResults(BusinessLogic.BinaryTreeNode root, StreamWriter writer, string previousProblem = "0")
+        {
+            if (root == null)
+                return;
+
+            if (previousProblem.Equals("0"))
+            {
+                writer.WriteLine("\n\n");
+                writer.WriteLine("Sub-Problem 0");
+
+                for (int i = 0; i < root.Data.Count; i++)
+                {
+                    for (int j = 0; j < root.Data[i].Count; j++)
+                    {
+                        for (int k = 0; k < root.Data[i][j].Count; k++)
+                        {
+                            writer.Write($"\t{root.Data[i][j][k]:0.###}");
+                        }
+                        writer.WriteLine();
+                    }
+                    writer.WriteLine("\n\n");
+                }
+
+                WriteBranchResults(root.LeftNode, writer, "1");
+                WriteBranchResults(root.RightNode, writer, "2");
+            }
+            else
+            {
+                writer.WriteLine("\n\n");
+                writer.WriteLine($"Sub-Problem {previousProblem}");
+
+                for (int i = 0; i < root.Data.Count; i++)
+                {
+                    for (int j = 0; j < root.Data[i].Count; j++)
+                    {
+                        for (int k = 0; k < root.Data[i][j].Count; k++)
+                        {
+                            writer.Write($"\t{root.Data[i][j][k]:0.###}");
+                        }
+                        writer.WriteLine();
+                    }
+                    writer.WriteLine("\n\n");
+                }
+
+                WriteBranchResults(root.LeftNode, writer, previousProblem + ".1");
+                WriteBranchResults(root.RightNode, writer, previousProblem + ".2");
+            }
+        }
+    }
+}
--- a/Presentation/Presentation.csproj
+++ b/Presentation/Presentation.csproj
@@ -0,0 +1,70 @@
+<?xml version="1.0" encoding="utf-8"?>
+<Project ToolsVersion="15.0" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
+  <Import Project="$(MSBuildExtensionsPath)\$(MSBuildToolsVersion)\Microsoft.Common.props" Condition="Exists('$(MSBuildExtensionsPath)\$(MSBuildToolsVersion)\Microsoft.Common.props')" />
+  <PropertyGroup>
+    <Configuration Condition=" '$(Configuration)' == '' ">Debug</Configuration>
+    <Platform Condition=" '$(Platform)' == '' ">AnyCPU</Platform>
+    <ProjectGuid>{377D38FE-AA9D-4AB0-B743-9E80AA0C82C4}</ProjectGuid>
+    <OutputType>Library</OutputType>
+    <AppDesignerFolder>Properties</AppDesignerFolder>
+    <RootNamespace>Presentation</RootNamespace>
+    <AssemblyName>Presentation</AssemblyName>
+    <TargetFrameworkVersion>v4.8</TargetFrameworkVersion>
+    <FileAlignment>512</FileAlignment>
+    <Deterministic>true</Deterministic>
+  </PropertyGroup>
+  <PropertyGroup Condition=" '$(Configuration)|$(Platform)' == 'Debug|AnyCPU' ">
+    <DebugSymbols>true</DebugSymbols>
+    <DebugType>full</DebugType>
+    <Optimize>false</Optimize>
+    <OutputPath>bin\Debug\</OutputPath>
+    <DefineConstants>DEBUG;TRACE</DefineConstants>
+    <ErrorReport>prompt</ErrorReport>
+    <WarningLevel>4</WarningLevel>
+  </PropertyGroup>
+  <PropertyGroup Condition=" '$(Configuration)|$(Platform)' == 'Release|AnyCPU' ">
+    <DebugType>pdbonly</DebugType>
+    <Optimize>true</Optimize>
+    <OutputPath>bin\Release\</OutputPath>
+    <DefineConstants>TRACE</DefineConstants>
+    <ErrorReport>prompt</ErrorReport>
+    <WarningLevel>4</WarningLevel>
+  </PropertyGroup>
+  <ItemGroup>
+    <Reference Include="ConsoleTables, Version=2.0.0.0, Culture=neutral, processorArchitecture=MSIL">
+      <HintPath>..\packages\ConsoleTables.2.4.2\lib\net40\ConsoleTables.dll</HintPath>
+    </Reference>
+    <Reference Include="System" />
+    <Reference Include="System.Core" />
+    <Reference Include="System.Xml.Linq" />
+    <Reference Include="System.Data.DataSetExtensions" />
+    <Reference Include="Microsoft.CSharp" />
+    <Reference Include="System.Data" />
+    <Reference Include="System.Net.Http" />
+    <Reference Include="System.Xml" />
+  </ItemGroup>
+  <ItemGroup>
+    <Compile Include="MainMenu.cs" />
+    <Compile Include="ModelWriter.cs" />
+    <Compile Include="Properties\AssemblyInfo.cs" />
+    <Compile Include="SolvedModelPrinter.cs" />
+  </ItemGroup>
+  <ItemGroup>
+    <ProjectReference Include="..\BusinessLogic\BusinessLogic.csproj">
+      <Project>{F904DA9B-8BA5-4803-88C1-24A6471C7FEF}</Project>
+      <Name>BusinessLogic</Name>
+    </ProjectReference>
+    <ProjectReference Include="..\DataAccess\DataAccess.csproj">
+      <Project>{02E85643-5DA8-4A1E-AF07-10184FC132A0}</Project>
+      <Name>DataAccess</Name>
+    </ProjectReference>
+    <ProjectReference Include="..\Models\Common.csproj">
+      <Project>{04C11623-F02E-45C6-8C51-82244CFF4780}</Project>
+      <Name>Common</Name>
+    </ProjectReference>
+  </ItemGroup>
+  <ItemGroup>
+    <None Include="packages.config" />
+  </ItemGroup>
+  <Import Project="$(MSBuildToolsPath)\Microsoft.CSharp.targets" />
+</Project>
--- a/Presentation/Properties/AssemblyInfo.cs
+++ b/Presentation/Properties/AssemblyInfo.cs
@@ -0,0 +1,36 @@
+using System.Reflection;
+using System.Runtime.CompilerServices;
+using System.Runtime.InteropServices;
+
+// General Information about an assembly is controlled through the following
+// set of attributes. Change these attribute values to modify the information
+// associated with an assembly.
+[assembly: AssemblyTitle("Presentation")]
+[assembly: AssemblyDescription("")]
+[assembly: AssemblyConfiguration("")]
+[assembly: AssemblyCompany("")]
+[assembly: AssemblyProduct("Presentation")]
+[assembly: AssemblyCopyright("Copyright ©  2021")]
+[assembly: AssemblyTrademark("")]
+[assembly: AssemblyCulture("")]
+
+// Setting ComVisible to false makes the types in this assembly not visible
+// to COM components.  If you need to access a type in this assembly from
+// COM, set the ComVisible attribute to true on that type.
+[assembly: ComVisible(false)]
+
+// The following GUID is for the ID of the typelib if this project is exposed to COM
+[assembly: Guid("377d38fe-aa9d-4ab0-b743-9e80aa0c82c4")]
+
+// Version information for an assembly consists of the following four values:
+//
+//      Major Version
+//      Minor Version
+//      Build Number
+//      Revision
+//
+// You can specify all the values or you can default the Build and Revision Numbers
+// by using the '*' as shown below:
+// [assembly: AssemblyVersion("1.0.*")]
+[assembly: AssemblyVersion("1.0.0.0")]
+[assembly: AssemblyFileVersion("1.0.0.0")]
--- a/Presentation/SolvedModelPrinter.cs
+++ b/Presentation/SolvedModelPrinter.cs
@@ -0,0 +1,112 @@
+using BusinessLogic;
+using BusinessLogic.Algorithms;
+using Common;
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Text;
+using System.Threading.Tasks;
+using ConsoleTables;
+
+namespace Presentation
+{
+    public class SolvedModelPrinter
+    {
+        public static void Print(Model model)
+        {
+            int iteration = 0;
+
+            foreach (var table in model.Result)
+            {
+                Console.WriteLine($"\n\nTable {iteration}:");
+                string[] headers = new string[table[0].Count];
+                string temp = "";
+                for (int j = 0; j < table[0].Count; j++)
+                {
+                    temp = table[0][j].ToString();
+                    headers[j] = temp;
+                }
+                table.RemoveAt(0);
+                var conTable = new ConsoleTable(headers);
+                foreach (List<double> row in table)
+                {
+                    object[] rowArray = new object[row.Count];
+                    for (int i = 0; i < row.Count; i++)
+                    {
+                        rowArray[i] = row[i];
+                    }
+                    conTable.AddRow(rowArray);
+                }
+                Console.WriteLine();
+                iteration++;
+                conTable.Write(Format.Alternative);
+            }
+        }
+
+        public static void Print(BranchAndBoundSimplex branchAndBoundSimplex)
+        {
+            var tree = branchAndBoundSimplex.Results;
+            PrintBranchResults(tree.Root);
+            List<List<double>> bestCandidate = branchAndBoundSimplex.GetBestCandidate();
+
+            Console.WriteLine("\n\nThis is the best solution of all the candidates:\n");
+            for (int i = 0; i < bestCandidate.Count; i++)
+            {
+                for (int j = 0; j < bestCandidate[i].Count; j++)
+                {
+                    Console.Write($"\t{bestCandidate[i][j]:0.###}");
+                }
+                Console.WriteLine();
+            }
+        }
+
+        private static void PrintBranchResults(BinaryTreeNode root, string previousProblem = "0")
+        {
+            if (root == null)
+                return;
+
+            if (previousProblem.Equals("0"))
+            {
+                Console.WriteLine("\n\n");
+                Console.WriteLine("Sub-Problem 0");
+
+                for (int i = 0; i < root.Data.Count; i++)
+                {
+                    for (int j = 0; j < root.Data[i].Count; j++)
+                    {
+                        for (int k = 0; k < root.Data[i][j].Count; k++)
+                        {
+                            Console.Write($"\t{root.Data[i][j][k]:0.###}");
+                        }
+                        Console.WriteLine();
+                    }
+                    Console.WriteLine("\n\n");
+                }
+
+                PrintBranchResults(root.LeftNode, "1");
+                PrintBranchResults(root.RightNode, "2");
+            }
+            else
+            {
+                Console.WriteLine("\n\n");
+                Console.WriteLine($"Sub-Problem {previousProblem}");
+
+                for (int i = 0; i < root.Data.Count; i++)
+                {
+                    for (int j = 0; j < root.Data[i].Count; j++)
+                    {
+                        for (int k = 0; k < root.Data[i][j].Count; k++)
+                        {
+                            Console.Write($"\t{root.Data[i][j][k]:0.###}");
+                        }
+                        Console.WriteLine();
+                    }
+                    Console.WriteLine("\n\n");
+                }
+
+                PrintBranchResults(root.LeftNode, previousProblem + ".1");
+                PrintBranchResults(root.RightNode, previousProblem + ".2");
+            }
+        }
+    }
+}
--- a/Presentation/packages.config
+++ b/Presentation/packages.config
@@ -0,0 +1,4 @@
+<?xml version="1.0" encoding="utf-8"?>
+<packages>
+  <package id="ConsoleTables" version="2.4.2" targetFramework="net48" />
+</packages>
--- a/Program.cs
+++ b/Program.cs
@@ -1,16 +0,0 @@
-
-class lpr381
-{
-    static void Main()
-    {
-        //simplex simplex = new simplex();
-        //simplex.simplexAlgo();
-        //twoPhaseSimplex twoPhaseSimplex = new twoPhaseSimplex();
-        //twoPhaseSimplex.twoPhaseSimplexAlgo();
-        //chesssolver chesssolver = new chesssolver();
-        //chesssolver.chessAlgo();
-        dualSimplex dualSimplex = new dualSimplex();
-        dualSimplex.dualSimplexAlgo();
-    }
-}
-
--- a/chess.cs
+++ b/chess.cs
@@ -1,65 +0,0 @@
-using System;
-using System.Collections.Generic;
-using System.Linq;
-using System.Text;
-using System.Threading.Tasks;
-
-    class chesssolver
-    {
-        static int N;
-        static void printBoard(int[,] board)
-        {
-            for (int i = 0; i < N; i++)
-            {
-                for (int j = 0; j < N; j++)
-                {
-                    Console.Write(board[i, j] + " ");
-                }
-                Console.Write("\n");
-            }
-        }
-        static Boolean toPlaceOrNotToPlace(int[,] board, int row, int col)
-        {
-            int i, j;
-            for (i = 0; i < col; i++)
-            {
-                if (board[row, i] == 1) return false;
-            }
-            for (i = row, j = col; i >= 0 && j >= 0; i--, j--)
-            {
-                if (board[i, j] == 1) return false;
-            }
-            for (i = row, j = col; j >= 0 && i < N; i++, j--)
-            {
-                if (board[i, j] == 1) return false;
-            }
-            return true;
-        }
-        static Boolean theBoardSolver(int[,] board, int col)
-        {
-            if (col >= N) return true;
-            for (int i = 0; i < N; i++)
-            {
-                if (toPlaceOrNotToPlace(board, i, col))
-                {
-                    board[i, col] = 1;
-                    if (theBoardSolver(board, col + 1)) return true;
-
-                    board[i, col] = 0;
-                }
-            }
-            return false;
-        }
-        public void chessAlgo()
-        {
-            Console.WriteLine("state size of chess table example: 4");
-            N = Convert.ToInt32(Console.ReadLine());
-            int[,] board = new int[N, N];
-            if (!theBoardSolver(board, 0))
-            {
-                Console.WriteLine("Solution not found.");
-            }
-            printBoard(board);
-            Console.ReadLine();
-        }
-    }
--- a/dualSimplex.cs
+++ b/dualSimplex.cs
@@ -1,223 +0,0 @@
-using ConsoleTables;
-
-class dualSimplex
-{
-    public void dualSimplexAlgo()
-    {
-        file file = new file();
-        Tuple<List<zConstraints>, List<Constraints>> content = file.readFile();
-        List<zConstraints> zConstraintsList = content.Item1;
-        List<Constraints> constraintsList = content.Item2;
-
-        // print constraintsList
-        foreach (zConstraints constraints in zConstraintsList)
-        {
-            Console.WriteLine(constraints.minMax + " " + string.Join(" ", constraints.values));
-        }
-        foreach (Constraints constraints in constraintsList)
-        {
-            Console.WriteLine(constraints.sign + " " + string.Join(" ", constraints.values));
-        }
-        List<List<float>> table = new List<List<float>>();
-        table.Add(zConstraintsList[0].values);
-        // add all constraints in constraintsList to table
-        foreach (Constraints constraints in constraintsList)
-        {
-            table.Add(constraints.values);
-        }
-        List<List<float>> newTable = new List<List<float>>();
-
-                // add all rows in table to newTable
-        foreach (List<float> row in table)
-        {
-            // add all columns in row to newTable without reference to table
-            List<float> newRow = new List<float>();
-            for (int i = 0; i < row.Count; i++)
-            {
-                newRow.Add(row[i]);
-
-            }
-            newTable.Add(newRow);
-        } 
-        int varCount = newTable[0].Count;
-        table = prepareTable(newTable, constraintsList);
-        // print every row in table
-        printTable(table, varCount);
-        
-    }
-
-
-    List<List<float>> prepareTable(List<List<float>> table, List<Constraints> constraints)
-    {
-        List<List<float>> newTable = new List<List<float>>();
-        foreach (List<float> row in table)
-        {
-            List<float> newRow = new List<float>();
-            foreach (float value in row)
-            {
-                newRow.Add(value);
-            }
-            newTable.Add(newRow);
-        }
-        List<string> signs = new List<string>();
-        foreach (Constraints constraint in constraints)
-        {
-            signs.Add(constraint.sign);    
-        }
-        for (int i = 0; i < signs.Count ; i++)
-        {
-            table[0].Add(0);
-            table[0].Add(0);
-
-            // if sign[i] == "=" copy table[i] to table[i+1] without overwriting table[i+1]
-            if (signs[i] == "=")
-            {
-                List<float> tempRow = new List<float>();
-                foreach (float value in table[i+1])
-                {
-                    tempRow.Add(value);
-                }
-                table.Add(tempRow);
-                // move last row of table to table[i+2]
-                for (int j = table.Count - 1; j > i+2; j--)
-                {
-                    List<float> row = table[j];
-                    table[j] = table[j-1];
-                    table[j-1] = row;
-                }
-                signs.Add("2=");
-                for (int j = signs.Count - 1; j > i + 1; j--)
-                {
-                    string sign = signs[j];
-                    signs[j] = signs[j-1];
-                    signs[j-1] = sign;
-                }
-                newTable.Insert(i+1, newTable[i+1]);
-            }
-
-            if (signs[i] == ">=")
-            {
-                // multiply table[i+1] by -1
-                for (int j = 0; j < table[i+1].Count; j++)
-                {
-                    table[i+1][j] = table[i+1][j] * -1;
-                }
-            }
-
-            // add 3 0s to each row for every column in table
-            for (int j = 0; j < signs.Count ; j++)
-            {
-                if (signs[i] == ">=")
-                {
-                    // make s = 1 
-                    if (i == j)
-                    {
-                        table[i+1].Add(0);
-                        table[i+1].Add(1);
-                    }
-                    else
-                    {
-                        table[i+1].Add(0);
-                        table[i+1].Add(0);
-                    }
-                }
-                else if (signs[i] == "<=")
-                {
-                    //make e = 1
-                    if (i == j)
-                    {
-                        table[i+1].Add(-1);
-                        table[i+1].Add(0);
-                    }
-                    else
-                    {
-                        table[i+1].Add(0);
-                        table[i+1].Add(0);
-                    }
-                }
-                else if (signs[i] == "=")
-                {
-                    // make a = 1
-                    if (i == j)
-                    {
-                        table[i+1].Add(-1);
-                        table[i+1].Add(0);
-                    }
-                    else
-                    {
-                        table[i+1].Add(0);
-                        table[i+1].Add(0);
-                    }
-                }
-                else if (signs[i] == "2=")
-                {
-                    // make a = 1
-                    if (i == j)
-                    {
-                        table[i+1].Add(0);
-                        table[i+1].Add(1);
-                    }
-                    else
-                    {
-                        table[i+1].Add(0);
-                        table[i+1].Add(0);
-                    }
-                }
-            }
-        }
-        table[0].Add(0);
-
-                // remove intex newTable.Count-1 from table and place it in the back of table
-        for (int i = 1; i < table.Count; i++)
-        {
-            table[i].RemoveAt(newTable[i].Count-1);
-            if (signs[i-1] == ">=" || signs[i-1] == "2=")
-            {
-                table[i].Add(newTable[i][newTable[i].Count-1] * -1);
-            }
-            else
-            {
-                table[i].Add(newTable[i][newTable[i].Count-1]);
-            }
-
-        }
-        // remove the value of newTable.Count-1 from table[1] and place it in the back of table[1]
-        return table;
-    }
-
-    void printTable(List<List<float>> table, int varCount)
-    {
-        int count = 1;
-        string[] headers = new string[table[0].Count];
-        for (int i = 0; i < table[0].Count; i++)
-        {
-            if (i < varCount)
-            {
-                headers[i] = "x" + (i + 1);
-            }
-            else if (i < table[0].Count - 1)
-            {
-                headers[i] = "e" + (count);
-                headers[i+1] = "s" + (count);
-                i = i + 1;
-                count++;
-            }
-            else
-            {
-                headers[i] = "rhs";
-            }
-        }
-        var conTable = new ConsoleTable(headers);
-        foreach (List<float> row in table)
-        {
-            // convert row to object array
-            object[] rowArray = new object[row.Count];
-            for (int i = 0; i < row.Count; i++)
-            {
-                rowArray[i] = row[i];
-            }
-            conTable.AddRow(rowArray);
-        }
-        conTable.Write(Format.Alternative);
-    }
-}
--- a/file.cs
+++ b/file.cs
@@ -1,81 +0,0 @@
-class file
-{
-    public Tuple<List<zConstraints>,List<Constraints>> readFile()
-    {
-        List<zConstraints> zConstraintsList = new List<zConstraints>();
-        List<Constraints> constraintsList = new List<Constraints>();
-        //read file "input.txt" line by line 
-        string line;
-        StreamReader file = new StreamReader("input.txt");
-        while ((line = file.ReadLine()) != null)
-        {
-            // if line contains "min" or "max"
-            if (line.Contains("min") || line.Contains("max"))
-            {
-                zConstraints constraints = new zConstraints();
-                if (line.Contains("min"))
-                {
-                    constraints.minMax = "min";
-                }
-                else
-                {
-                    constraints.minMax = "max";
-                }
-                // remove "min" or "max" from line
-                line = line.Remove(0, line.IndexOf(constraints.minMax) + constraints.minMax.Length);
-                // split line by " "
-                string[] lineArray = line.Split(' ');
-                //remove empty elements from array
-                lineArray = lineArray.Where(x => !string.IsNullOrEmpty(x)).ToArray();
-
-                // add variables to constraints.variables after parsing them to float
-                List<float> variables = new List<float>();
-                foreach (string variable in lineArray)
-                {
-                    variables.Add(float.Parse(variable));
-                    
-                }
-                constraints.values = variables;
-                // add constraints to list
-                zConstraintsList.Add(constraints);
-            }
-            else
-            {
-                // split line by " "
-                string[] lineArray = line.Split(' ');
-                //remove empty elements from array
-                lineArray = lineArray.Where(x => !string.IsNullOrEmpty(x)).ToArray();
-                // for each element in array
-                Constraints constraints = new Constraints();
-                List<float> variables = new List<float>();
-                foreach (string variable in lineArray)
-                {
-                    if (variable.Contains("=") || variable.Contains(">") || variable.Contains("<"))
-                    {
-                        constraints.sign = variable;
-                    }
-                    else
-                    {
-                        variables.Add(float.Parse(variable));
-                    }
-                }
-                constraints.values = variables;
-                constraintsList.Add(constraints);
-            }
-        }
-        file.Close();
-        return new Tuple<List<zConstraints>, List<Constraints>>(zConstraintsList, constraintsList);
-    }
-}
-class zConstraints
-{
-    public string minMax;
-    public List<float> values; 
-}   
-
-class Constraints
-{
-    public List<float> values;
-
-    public string sign;
-}
--- a/input.txt
+++ b/input.txt
@@ -1,8 +0,0 @@
-max +1 +1
-+8 +4 = 160
-+4 +4 <= 100
-+1 +0 <= 17 
-+1 +0 >= 5
-+0 +1 >= 2
-+1 -1 >= 0
-+1 -4 <= 0
--- a/lpr381.csproj
+++ b/lpr381.csproj
@@ -1,14 +0,0 @@
-<Project Sdk="Microsoft.NET.Sdk">
-
-  <PropertyGroup>
-    <OutputType>Exe</OutputType>
-    <TargetFramework>net6.0</TargetFramework>
-    <ImplicitUsings>enable</ImplicitUsings>
-    <Nullable>enable</Nullable>
-  </PropertyGroup>
-
-  <ItemGroup>
-    <PackageReference Include="ConsoleTables" Version="2.4.2" />
-  </ItemGroup>
-
-</Project>
--- a/obj/Debug/net6.0/.NETCoreApp,Version=v6.0.AssemblyAttributes.cs
+++ b/obj/Debug/net6.0/.NETCoreApp,Version=v6.0.AssemblyAttributes.cs
@@ -1,4 +0,0 @@
-// <autogenerated />
-using System;
-using System.Reflection;
-[assembly: global::System.Runtime.Versioning.TargetFrameworkAttribute(".NETCoreApp,Version=v6.0", FrameworkDisplayName = "")]
--- a/obj/Debug/net6.0/apphost
+++ b/obj/Debug/net6.0/apphost
--- a/obj/Debug/net6.0/lpr381.AssemblyInfo.cs
+++ b/obj/Debug/net6.0/lpr381.AssemblyInfo.cs
@@ -1,22 +0,0 @@
-//------------------------------------------------------------------------------
-// <auto-generated>
-//     This code was generated by a tool.
-//
-//     Changes to this file may cause incorrect behavior and will be lost if
-//     the code is regenerated.
-// </auto-generated>
-//------------------------------------------------------------------------------
-
-using System;
-using System.Reflection;
-
-[assembly: System.Reflection.AssemblyCompanyAttribute("lpr381")]
-[assembly: System.Reflection.AssemblyConfigurationAttribute("Debug")]
-[assembly: System.Reflection.AssemblyFileVersionAttribute("1.0.0.0")]
-[assembly: System.Reflection.AssemblyInformationalVersionAttribute("1.0.0")]
-[assembly: System.Reflection.AssemblyProductAttribute("lpr381")]
-[assembly: System.Reflection.AssemblyTitleAttribute("lpr381")]
-[assembly: System.Reflection.AssemblyVersionAttribute("1.0.0.0")]
-
-// Generated by the MSBuild WriteCodeFragment class.
-
--- a/obj/Debug/net6.0/lpr381.AssemblyInfoInputs.cache
+++ b/obj/Debug/net6.0/lpr381.AssemblyInfoInputs.cache
@@ -1 +0,0 @@
-19ef02a5be1a65bf6b975f4a44f162accba6b382
--- a/obj/Debug/net6.0/lpr381.GeneratedMSBuildEditorConfig.editorconfig
+++ b/obj/Debug/net6.0/lpr381.GeneratedMSBuildEditorConfig.editorconfig
@@ -1,10 +0,0 @@
-is_global = true
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-build_property.ProjectTypeGuids = 
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-build_property.PlatformNeutralAssembly = 
-build_property._SupportedPlatformList = Linux,macOS,Windows
-build_property.RootNamespace = lpr381
-build_property.ProjectDir = /home/mrfluffy/Documents/c#/lpr381/
--- a/obj/Debug/net6.0/lpr381.GlobalUsings.g.cs
+++ b/obj/Debug/net6.0/lpr381.GlobalUsings.g.cs
@@ -1,8 +0,0 @@
-// <auto-generated/>
-global using global::System;
-global using global::System.Collections.Generic;
-global using global::System.IO;
-global using global::System.Linq;
-global using global::System.Net.Http;
-global using global::System.Threading;
-global using global::System.Threading.Tasks;
--- a/obj/Debug/net6.0/lpr381.assets.cache
+++ b/obj/Debug/net6.0/lpr381.assets.cache
--- a/obj/Debug/net6.0/lpr381.csproj.AssemblyReference.cache
+++ b/obj/Debug/net6.0/lpr381.csproj.AssemblyReference.cache
--- a/obj/Debug/net6.0/lpr381.csproj.CopyComplete
+++ b/obj/Debug/net6.0/lpr381.csproj.CopyComplete
--- a/obj/Debug/net6.0/lpr381.csproj.CoreCompileInputs.cache
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@@ -1 +0,0 @@
-8c13023fa8aa1aee00b6cf6a6819800d58bb1521
--- a/obj/Debug/net6.0/lpr381.csproj.FileListAbsolute.txt
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-/home/mrfluffy/Documents/c#/lpr381/obj/Debug/net6.0/lpr381.csproj.AssemblyReference.cache
-/home/mrfluffy/Documents/c#/lpr381/obj/Debug/net6.0/lpr381.GeneratedMSBuildEditorConfig.editorconfig
-/home/mrfluffy/Documents/c#/lpr381/obj/Debug/net6.0/lpr381.AssemblyInfoInputs.cache
-/home/mrfluffy/Documents/c#/lpr381/obj/Debug/net6.0/lpr381.AssemblyInfo.cs
-/home/mrfluffy/Documents/c#/lpr381/obj/Debug/net6.0/lpr381.csproj.CoreCompileInputs.cache
-/home/mrfluffy/Documents/c#/lpr381/bin/Debug/net6.0/lpr381
-/home/mrfluffy/Documents/c#/lpr381/bin/Debug/net6.0/lpr381.deps.json
-/home/mrfluffy/Documents/c#/lpr381/bin/Debug/net6.0/lpr381.runtimeconfig.json
-/home/mrfluffy/Documents/c#/lpr381/bin/Debug/net6.0/lpr381.dll
-/home/mrfluffy/Documents/c#/lpr381/bin/Debug/net6.0/ref/lpr381.dll
-/home/mrfluffy/Documents/c#/lpr381/bin/Debug/net6.0/lpr381.pdb
-/home/mrfluffy/Documents/c#/lpr381/obj/Debug/net6.0/lpr381.dll
-/home/mrfluffy/Documents/c#/lpr381/obj/Debug/net6.0/ref/lpr381.dll
-/home/mrfluffy/Documents/c#/lpr381/obj/Debug/net6.0/lpr381.pdb
-/home/mrfluffy/Documents/c#/lpr381/obj/Debug/net6.0/lpr381.genruntimeconfig.cache
-/home/mrfluffy/Documents/c#/lpr381/obj/Debug/net6.0/lpr381.csproj.CopyComplete
-/home/mrfluffy/Documents/c#/lpr381/bin/Debug/net6.0/ConsoleTables.dll
--- a/obj/Debug/net6.0/lpr381.dll
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--- a/obj/Debug/net6.0/lpr381.genruntimeconfig.cache
+++ b/obj/Debug/net6.0/lpr381.genruntimeconfig.cache
@@ -1 +0,0 @@
-1e253571666f59f5c0ab7c37c5d596e5501a216c
--- a/obj/Debug/net6.0/lpr381.pdb
+++ b/obj/Debug/net6.0/lpr381.pdb
--- a/obj/Debug/net6.0/ref/lpr381.dll
+++ b/obj/Debug/net6.0/ref/lpr381.dll
--- a/obj/Release/net6.0/.NETCoreApp,Version=v6.0.AssemblyAttributes.cs
+++ b/obj/Release/net6.0/.NETCoreApp,Version=v6.0.AssemblyAttributes.cs
@@ -1,4 +0,0 @@
-// <autogenerated />
-using System;
-using System.Reflection;
-[assembly: global::System.Runtime.Versioning.TargetFrameworkAttribute(".NETCoreApp,Version=v6.0", FrameworkDisplayName = "")]
--- a/obj/Release/net6.0/apphost
+++ b/obj/Release/net6.0/apphost
--- a/obj/Release/net6.0/lpr381.AssemblyInfo.cs
+++ b/obj/Release/net6.0/lpr381.AssemblyInfo.cs
@@ -1,22 +0,0 @@
-//------------------------------------------------------------------------------
-// <auto-generated>
-//     This code was generated by a tool.
-//
-//     Changes to this file may cause incorrect behavior and will be lost if
-//     the code is regenerated.
-// </auto-generated>
-//------------------------------------------------------------------------------
-
-using System;
-using System.Reflection;
-
-[assembly: System.Reflection.AssemblyCompanyAttribute("lpr381")]
-[assembly: System.Reflection.AssemblyConfigurationAttribute("Release")]
-[assembly: System.Reflection.AssemblyFileVersionAttribute("1.0.0.0")]
-[assembly: System.Reflection.AssemblyInformationalVersionAttribute("1.0.0")]
-[assembly: System.Reflection.AssemblyProductAttribute("lpr381")]
-[assembly: System.Reflection.AssemblyTitleAttribute("lpr381")]
-[assembly: System.Reflection.AssemblyVersionAttribute("1.0.0.0")]
-
-// Generated by the MSBuild WriteCodeFragment class.
-
--- a/obj/Release/net6.0/lpr381.AssemblyInfoInputs.cache
+++ b/obj/Release/net6.0/lpr381.AssemblyInfoInputs.cache
@@ -1 +0,0 @@
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--- a/obj/Release/net6.0/lpr381.GeneratedMSBuildEditorConfig.editorconfig
+++ b/obj/Release/net6.0/lpr381.GeneratedMSBuildEditorConfig.editorconfig
@@ -1,10 +0,0 @@
-is_global = true
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-build_property.ProjectTypeGuids = 
-build_property.InvariantGlobalization = 
-build_property.PlatformNeutralAssembly = 
-build_property._SupportedPlatformList = Linux,macOS,Windows
-build_property.RootNamespace = lpr381
-build_property.ProjectDir = /home/mrfluffy/Documents/c#/lpr381/
--- a/obj/Release/net6.0/lpr381.GlobalUsings.g.cs
+++ b/obj/Release/net6.0/lpr381.GlobalUsings.g.cs
@@ -1,8 +0,0 @@
-// <auto-generated/>
-global using global::System;
-global using global::System.Collections.Generic;
-global using global::System.IO;
-global using global::System.Linq;
-global using global::System.Net.Http;
-global using global::System.Threading;
-global using global::System.Threading.Tasks;
--- a/obj/Release/net6.0/lpr381.assets.cache
+++ b/obj/Release/net6.0/lpr381.assets.cache
--- a/obj/Release/net6.0/lpr381.csproj.AssemblyReference.cache
+++ b/obj/Release/net6.0/lpr381.csproj.AssemblyReference.cache
--- a/obj/Release/net6.0/lpr381.csproj.CoreCompileInputs.cache
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@@ -1 +0,0 @@
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--- a/obj/Release/net6.0/lpr381.csproj.FileListAbsolute.txt
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-/home/mrfluffy/Documents/c#/lpr381/bin/Release/net6.0/lpr381.deps.json
-/home/mrfluffy/Documents/c#/lpr381/bin/Release/net6.0/lpr381.runtimeconfig.json
-/home/mrfluffy/Documents/c#/lpr381/bin/Release/net6.0/lpr381.dll
-/home/mrfluffy/Documents/c#/lpr381/bin/Release/net6.0/ref/lpr381.dll
-/home/mrfluffy/Documents/c#/lpr381/bin/Release/net6.0/lpr381.pdb
-/home/mrfluffy/Documents/c#/lpr381/obj/Release/net6.0/lpr381.csproj.AssemblyReference.cache
-/home/mrfluffy/Documents/c#/lpr381/obj/Release/net6.0/lpr381.GeneratedMSBuildEditorConfig.editorconfig
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-/home/mrfluffy/Documents/c#/lpr381/obj/Release/net6.0/lpr381.AssemblyInfo.cs
-/home/mrfluffy/Documents/c#/lpr381/obj/Release/net6.0/lpr381.csproj.CoreCompileInputs.cache
-/home/mrfluffy/Documents/c#/lpr381/obj/Release/net6.0/lpr381.dll
-/home/mrfluffy/Documents/c#/lpr381/obj/Release/net6.0/ref/lpr381.dll
-/home/mrfluffy/Documents/c#/lpr381/obj/Release/net6.0/lpr381.pdb
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--- a/obj/Release/net6.0/lpr381.dll
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--- a/obj/Release/net6.0/lpr381.genruntimeconfig.cache
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--- a/obj/Release/net6.0/lpr381.pdb
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--- a/obj/Release/net6.0/ref/lpr381.dll
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--- a/obj/lpr381.csproj.nuget.dgspec.json
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@@ -1,72 +0,0 @@
-{
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-  "restore": {
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-  },
-  "projects": {
-    "/home/mrfluffy/Documents/c#/lpr381/lpr381.csproj": {
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-        "projectName": "lpr381",
-        "projectPath": "/home/mrfluffy/Documents/c#/lpr381/lpr381.csproj",
-        "packagesPath": "/home/mrfluffy/.cache/NuGetPackages",
-        "outputPath": "/home/mrfluffy/Documents/c#/lpr381/obj/",
-        "projectStyle": "PackageReference",
-        "configFilePaths": [
-          "/home/mrfluffy/.nuget/NuGet/NuGet.Config"
-        ],
-        "originalTargetFrameworks": [
-          "net6.0"
-        ],
-        "sources": {
-          "https://api.nuget.org/v3/index.json": {}
-        },
-        "frameworks": {
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-            "targetAlias": "net6.0",
-            "projectReferences": {}
-          }
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-        "warningProperties": {
-          "warnAsError": [
-            "NU1605"
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-        }
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-      "frameworks": {
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-          "dependencies": {
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-              "version": "[2.4.2, )"
-            }
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-          "imports": [
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-            "net462",
-            "net47",
-            "net471",
-            "net472",
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-          "assetTargetFallback": true,
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-          "downloadDependencies": [
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-          "frameworkReferences": {
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-          "runtimeIdentifierGraphPath": "/usr/share/dotnet/sdk/6.0.106/RuntimeIdentifierGraph.json"
-        }
-      }
-    }
-  }
-}
--- a/obj/lpr381.csproj.nuget.g.props
+++ b/obj/lpr381.csproj.nuget.g.props
@@ -1,15 +0,0 @@
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-<Project ToolsVersion="14.0" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
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-    <RestoreSuccess Condition=" '$(RestoreSuccess)' == '' ">True</RestoreSuccess>
-    <RestoreTool Condition=" '$(RestoreTool)' == '' ">NuGet</RestoreTool>
-    <ProjectAssetsFile Condition=" '$(ProjectAssetsFile)' == '' ">$(MSBuildThisFileDirectory)project.assets.json</ProjectAssetsFile>
-    <NuGetPackageRoot Condition=" '$(NuGetPackageRoot)' == '' ">/home/mrfluffy/.cache/NuGetPackages</NuGetPackageRoot>
-    <NuGetPackageFolders Condition=" '$(NuGetPackageFolders)' == '' ">/home/mrfluffy/.cache/NuGetPackages</NuGetPackageFolders>
-    <NuGetProjectStyle Condition=" '$(NuGetProjectStyle)' == '' ">PackageReference</NuGetProjectStyle>
-    <NuGetToolVersion Condition=" '$(NuGetToolVersion)' == '' ">6.0.2</NuGetToolVersion>
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-    <SourceRoot Include="/home/mrfluffy/.cache/NuGetPackages/" />
-  </ItemGroup>
-</Project>
--- a/obj/lpr381.csproj.nuget.g.targets
+++ b/obj/lpr381.csproj.nuget.g.targets
@@ -1,2 +0,0 @@
-<?xml version="1.0" encoding="utf-8" standalone="no"?>
-<Project ToolsVersion="14.0" xmlns="http://schemas.microsoft.com/developer/msbuild/2003" />
--- a/obj/project.assets.json
+++ b/obj/project.assets.json
@@ -1,741 +0,0 @@
-{
-  "version": 3,
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--- a/obj/project.nuget.cache
+++ b/obj/project.nuget.cache
@@ -1,20 +0,0 @@
-{
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-  ],
-  "logs": []
-}
--- a/simplex.cs
+++ b/simplex.cs
@@ -1,249 +0,0 @@
-using ConsoleTables;
-class simplex
-{
-    public void simplexAlgo()
-    {
-        file file = new file();
-        Tuple<List<zConstraints>, List<Constraints>> content = file.readFile();
-        List<zConstraints> zConstraintsList = content.Item1;
-        List<Constraints> constraintsList = content.Item2;
-
-        // print constraintsList
-        foreach (zConstraints constraints in zConstraintsList)
-        {
-            Console.WriteLine(constraints.minMax + " " + string.Join(" ", constraints.values));
-        }
-        foreach (Constraints constraints in constraintsList)
-        {
-            Console.WriteLine(constraints.sign + " " + string.Join(" ", constraints.values));
-        }
-        List<List<float>> table = new List<List<float>>();
-        table.Add(zConstraintsList[0].values);
-        // add all constraints in constraintsList to table
-        foreach (Constraints constraints in constraintsList)
-        {
-            table.Add(constraints.values);
-        }
-        List<List<float>> newTable = new List<List<float>>();
-        // add all rows in table to newTable
-        foreach (List<float> row in table)
-        {
-            // add all columns in row to newTable without reference to table
-            List<float> newRow = new List<float>();
-            for (int i = 0; i < row.Count; i++)
-            {
-                newRow.Add(row[i]);
-                
-            }
-            newTable.Add(newRow);
-        }
-        
-        // add s variable to table
-        for (int i = 0; i < table.Count; i++)
-        {
-            if (i == 0)
-            {
-                for (int j = 0; j < table[i].Count + 1; j++)
-                {
-                    newTable[i].Add(0);
-                }
-            }
-            else
-            {
-                for (int j = 0; j < table[i].Count-1; j++)
-                {
-                    //save the last value in newTable in to lastVal and remove it from newTanle
-                    float lastVal = newTable[i][newTable[i].Count - 1];
-                    newTable[i].RemoveAt(newTable[i].Count - 1);
-                    if (i == j+1)
-                    {
-                        newTable[i].Add(1);
-                    }
-                    else
-                    {
-                        newTable[i].Add(0);
-                    }
-                    newTable[i].Add(lastVal);
-                }
-            }
-        }
-        // print table
-        printTable(newTable);
-        bool optimal = false;
-        newTable = flipZ(newTable);
-        while (!optimal)
-        {
-            int pivotCol = findPivotCol(newTable);
-            List<float> ratio = ratioTest(newTable, pivotCol);
-            int pivotRow = findPivotRow(ratio);
-            printTable(newTable);
-            newTable = pivotTable(newTable, pivotRow, pivotCol);
-            Console.WriteLine("");
-            if (checkOptimal(newTable))
-            {
-                printTable(newTable);
-                optimal = true;
-            }
-        }
-
-    }
-
-
-    static void printTable(List<List<float>> newTable)
-    {
-        string[] headers = new string[newTable[0].Count];
-        double half = newTable[0].Count / 2;
-        int halfInt = (int)Math.Floor(half);
-        for (int i = 0; i < newTable[0].Count; i++)
-        {
-            if (i != newTable[0].Count - 1 && i < halfInt)
-            {
-                headers[i] = "x" + (i + 1);
-            }
-            else if (i != newTable[0].Count - 1 && i >= halfInt)
-            {
-                // add "s" to headers starting at 1
-                headers[i] = "s" + ((i - newTable[0].Count  / 2)+1);
-                //headers[i] = "s" + (i + 1);
-            }
-            else
-            {
-                headers[i] = "rhs";
-            }            
-        }
-        var conTable = new ConsoleTable(headers);
-        // for each row in table add row to conTable
-        foreach (List<float> row in newTable)
-        {
-            // convert row to object array
-            object[] rowArray = new object[row.Count];
-            for (int i = 0; i < row.Count; i++)
-            {
-                rowArray[i] = row[i];
-            }
-            conTable.AddRow(rowArray);
-        }
-        conTable.Write(Format.Alternative);
-    }
-
-
-
-    static bool checkOptimal(List<List<float>> table)
-    {
-        int zIndex = 0;
-        for (int i = 0; i < table[0].Count; i++)
-        {
-            if (table[0][i] < 0)
-            {
-                zIndex = i;
-            }
-        }
-        if (zIndex == 0)
-        {
-            return true;
-        }
-        else
-        {
-            return false;
-        }
-    }
-
-
-    static List<List<float>> flipZ(List<List<float>> table)
-    {
-        for (int i = 0; i < table[0].Count; i++)
-        {
-            if (table[0][i] > 0)
-            {
-                table[0][i] = -table[0][i];
-            }
-        }
-        return table;
-    }
-
-    static int findPivotCol(List<List<float>> table)
-    {
-        float largest = 0;
-        int largestIndex = 0;
-        for (int i = 0; i < table[0].Count; i++)
-        {
-            if (table[0][i] < largest)
-            {
-                largest = table[0][i];
-                largestIndex = i;
-            }
-        }
-        return largestIndex;
-    }
-
-    static List<float> ratioTest(List<List<float>> table, int testCol)
-    {
-        List<float> ratios = new List<float>();
-        for (int i = 1; i < table.Count; i++)
-        {
-            if (table[i][testCol] != 0)
-            {
-                ratios.Add(table[i][table[i].Count - 1] / table[i][testCol]);
-            }
-            else
-            {
-                ratios.Add(float.MaxValue);
-            }
-        }
-        return ratios;
-    }
-
-
-    static int findPivotRow(List<float> ratios)
-    {
-        float smallest = float.MaxValue;
-        int smallestIndex = 0;
-        for (int i = 0; i < ratios.Count; i++)
-        {
-            if (ratios[i] < smallest && ratios[i] > 0.0)
-            {
-                smallest = ratios[i];
-                smallestIndex = i;
-            }
-        }
-        return smallestIndex;
-    }
-
-
-    static List<List<float>> pivotTable(List<List<float>> table, int pivotRow, int pivotCol)
-    {
-        //clone table in to newTable
-        List<List<float>> newTable = new List<List<float>>();
-        foreach (List<float> row in table)
-        {
-            List<float> newRow = new List<float>();
-            for (int i = 0; i < row.Count; i++)
-            {
-                newRow.Add(row[i]);
-            }
-            newTable.Add(newRow);
-        }
-        var pivotPoint = newTable[pivotRow + 1][pivotCol];
-        // divide pivot row by pivot point
-        for (int i = 0; i < newTable[pivotRow + 1].Count; i++)
-        {
-            newTable[pivotRow + 1][i] = newTable[pivotRow + 1][i] / pivotPoint;
-        }
-        // current possition-(pivot_row*new_table pivot_point)
-        for (int i = 0; i < newTable.Count; i++)
-        {
-            if (i != pivotRow + 1)
-            {
-                var currentPossition = newTable[i][pivotCol];
-                for (int j = 0; j < newTable[i].Count; j++)
-                {
-                    newTable[i][j] = newTable[i][j] - (currentPossition * newTable[pivotRow + 1][j]);
-                }
-            }
-        }
-        return newTable;
-
-    }
-    
-}
-
--- a/twoPhaseSimplex.cs
+++ b/twoPhaseSimplex.cs
@@ -1,432 +0,0 @@
-using ConsoleTables;
-class twoPhaseSimplex
-{
-    public void twoPhaseSimplexAlgo()
-    {
-        file file = new file();
-        Tuple<List<zConstraints>, List<Constraints>> content = file.readFile();
-        List<zConstraints> zConstraintsList = content.Item1;
-        List<Constraints> constraintsList = content.Item2;
-
-        // print constraintsList
-        foreach (zConstraints constraints in zConstraintsList)
-        {
-            Console.WriteLine(constraints.minMax + " " + string.Join(" ", constraints.values));
-        }
-        foreach (Constraints constraints in constraintsList)
-        {
-            Console.WriteLine(constraints.sign + " " + string.Join(" ", constraints.values));
-        }
-        List<List<float>> table = new List<List<float>>();
-        table.Add(zConstraintsList[0].values);
-        // add all constraints in constraintsList to table
-        foreach (Constraints constraints in constraintsList)
-        {
-            table.Add(constraints.values);
-        }
-        List<List<float>> newTable = new List<List<float>>();
-        // add all rows in table to newTable
-        foreach (List<float> row in table)
-        {
-            // add all columns in row to newTable without reference to table
-            List<float> newRow = new List<float>();
-            for (int i = 0; i < row.Count; i++)
-            {
-                newRow.Add(row[i]);
-
-            }
-            newTable.Add(newRow);
-        } 
-        int varCount = newTable[0].Count;
-        table = prepareTable(newTable, constraintsList);
-
-        // print table
-        printTablePhaseOne(table, varCount);
-
-        flipZ(table);
-        printTablePhaseOne(table, varCount);
-        bool isOptimal = isOptimalPhaseOne(table);
-        while (!isOptimal)
-        {
-            int pivotCol = findPivotCol(table);
-            List<float> ratio = ratioTest(table, pivotCol);
-            int pivotRow = findPivotRow(ratio);
-            table = pivotTable(table, pivotRow, pivotCol);
-            printTablePhaseOne(table, varCount);
-            isOptimal = isOptimalPhaseOne(table);
-        }
-
-        table = dropCol(table, varCount);
-        isOptimal = isOptimalPhaseTwo(table);
-        printTablePhaseTwo(table, varCount);
-        while (!isOptimal)
-        {
-            int pivotCol = findPivotCol(table);
-            List<float> ratio = ratioTest(table, pivotCol);
-            int pivotRow = findPivotRow(ratio);
-            table = pivotTable(table, pivotRow, pivotCol);
-            printTablePhaseTwo(table, varCount);
-            isOptimal = isOptimalPhaseTwo(table);
-        }
-        
-
-
-
-    }
-
-    void printTablePhaseOne(List<List<float>> table, int varCount)
-    {
-        int count = 1;
-        string[] headers = new string[table[0].Count];
-        for (int i = 0; i < table[0].Count; i++)
-        {
-            if (i < varCount)
-            {
-                headers[i] = "x" + (i + 1);
-            }
-            else if (i < table[0].Count - 1)
-            {
-                headers[i] = "e" + (count);
-                headers[i+1] = "a" + (count);
-                headers[i+2] = "s" + (count);
-                i = i + 2;
-                count++;
-            }
-            else
-            {
-                headers[i] = "rhs";
-            }
-        }
-        var conTable = new ConsoleTable(headers);
-        foreach (List<float> row in table)
-        {
-            // convert row to object array
-            object[] rowArray = new object[row.Count];
-            for (int i = 0; i < row.Count; i++)
-            {
-                rowArray[i] = row[i];
-            }
-            conTable.AddRow(rowArray);
-        }
-        conTable.Write(Format.Alternative);
-        
-    }
-
-    void printTablePhaseTwo(List<List<float>> table, int varCount)
-    {
-        int count = 1;
-        string[] headers = new string[table[0].Count];
-        for (int i = 0; i < table[0].Count; i++)
-        {
-            if (i < varCount)
-            {
-                headers[i] = "x" + (i + 1);
-            }
-            else if (i < table[0].Count - 1)
-            {
-                headers[i] = "e" + (count);
-                headers[i+1] = "s" + (count);
-                i = i + 1;
-                count++;
-            }
-            else
-            {
-                headers[i] = "rhs";
-            }
-        }
-        var conTable = new ConsoleTable(headers);
-        foreach (List<float> row in table)
-        {
-            // convert row to object array
-            object[] rowArray = new object[row.Count];
-            for (int i = 0; i < row.Count; i++)
-            {
-                rowArray[i] = row[i];
-            }
-            conTable.AddRow(rowArray);
-        }
-        conTable.Write(Format.Alternative);
-        
-    }
-
-    List<List<float>> prepareTable(List<List<float>> table, List<Constraints> constraints)
-    {
-        // save all values in table in to newTable
-        List<List<float>> newTable = new List<List<float>>();
-        foreach (List<float> row in table)
-        {
-            List<float> newRow = new List<float>();
-            foreach (float value in row)
-            {
-                newRow.Add(value);
-            }
-            newTable.Add(newRow);
-        }
-        List<int> rowsWithW = new List<int>();
-        List<string> signs = new List<string>();
-        foreach (Constraints constraint in constraints)
-        {
-            signs.Add(constraint.sign);    
-        }
-        // ammount of values in newTable startring from newTable[1])
-        int varCount = 0;
-        for (int i = 1; i < newTable.Count; i++)
-        {
-            varCount = varCount + newTable[i].Count;
-        }
-        for (int i = 0; i < signs.Count ; i++)
-        {
-            table[0].Add(0);
-            table[0].Add(0);
-            table[0].Add(0);
-            int temp = (newTable[i+1].Count-1) * signs.Count;
-
-            
-            // add 3 0s to each row for every column in table
-            for (int j = 0; j < signs.Count ; j++)
-            {
-                if (signs[i] == ">=")
-                {
-                    // make s = 1 
-                    if (i == j)
-                    {
-                        table[i+1].Add(0);
-                        table[i+1].Add(0);
-                        table[i+1].Add(1);
-                    }
-                    else
-                    {
-                        table[i+1].Add(0);
-                        table[i+1].Add(0);
-                        table[i+1].Add(0);
-                    }
-                }
-                else if (signs[i] == "<=")
-                {
-                    //make e and a = 1
-                    if (i == j)
-                    {
-                        table[i+1].Add(-1);
-                        table[i+1].Add(1);
-                        table[i+1].Add(0);
-                        rowsWithW.Add(i+1);
-                    }
-                    else
-                    {
-                        table[i+1].Add(0);
-                        table[i+1].Add(0);
-                        table[i+1].Add(0);
-                    }
-                }
-                else if (signs[i] == "=")
-                {
-                    // make a = 1
-                    if (i == j)
-                    {
-                        table[i+1].Add(0);
-                        table[i+1].Add(1);
-                        table[i+1].Add(0);
-                        rowsWithW.Add(i+1);
-                    }
-                    else
-                    {
-                        table[i+1].Add(0);
-                        table[i+1].Add(0);
-                        table[i+1].Add(0);
-                    }
-                }
-            }
-        }
-        table[0].Add(0);
-        // create list of floats called wRow size table[0].Count - 1
-        List<float> wRow = new List<float>();
-        for (int i = 0; i < table[0].Count; i++)
-        {
-            wRow.Add(0);
-        }
-        for (int i = 0; i < table[0].Count; i++)
-        {
-            // if i is in rowsWithW
-            if (rowsWithW.Contains(i))
-            {
-                for (int j = 0; j < wRow.Count; j++)
-                {
-                    wRow[j] = wRow[j] + (-table[i][j]);
-                }
-            }
-        }
-        //add wRow to the start of table
-        table.Insert(1, wRow);
-        
-        // remove intex newTable.Count-1 from table and place it in the back of table
-        for (int i = 2; i < table.Count; i++)
-        {
-            table[i].RemoveAt(newTable.Count-1);
-            table[i].Add(newTable[i-1][newTable[i-1].Count-1]);
-
-        }
-        // remove the value of newTable.Count-1 from table[1] and place it in the back of table[1]
-        float lastValue = table[1][newTable.Count-1];
-        table[1].RemoveAt(newTable.Count-1);
-        table[1].Add(lastValue);
-        
-        
-        
-        return table;
-    }
-        static List<List<float>> flipZ(List<List<float>> table)
-    {
-        for (int i = 0; i < table[0].Count; i++)
-        {
-            if (table[0][i] > 0)
-            {
-                table[0][i] = -table[0][i];
-            }
-        }
-        return table;
-    }
-
-    static int findPivotCol(List<List<float>> table)
-    {
-        float largest = 0;
-        int largestIndex = 0;
-        for (int i = 0; i < table[0].Count; i++)
-        {
-            if (table[0][i] < largest)
-            {
-                largest = table[0][i];
-                largestIndex = i;
-            }
-        }
-        return largestIndex;
-    }
-
-        static List<float> ratioTest(List<List<float>> table, int testCol)
-    {
-        List<float> ratios = new List<float>();
-        for (int i = 1; i < table.Count; i++)
-        {
-            if (table[i][testCol] != 0)
-            {
-                ratios.Add(table[i][table[i].Count - 1] / table[i][testCol]);
-            }
-            else
-            {
-                ratios.Add(float.MaxValue);
-            }
-        }
-        return ratios;
-    }
-        static int findPivotRow(List<float> ratios)
-    {
-        float smallest = float.MaxValue;
-        int smallestIndex = 0;
-        for (int i = 0; i < ratios.Count; i++)
-        {
-            if (ratios[i] < smallest && ratios[i] > 0.0)
-            {
-                smallest = ratios[i];
-                smallestIndex = i;
-            }
-        }
-        return smallestIndex;
-    }
-
-        static List<List<float>> pivotTable(List<List<float>> table, int pivotRow, int pivotCol)
-    {
-        //clone table in to newTable
-        List<List<float>> newTable = new List<List<float>>();
-        foreach (List<float> row in table)
-        {
-            List<float> newRow = new List<float>();
-            for (int i = 0; i < row.Count; i++)
-            {
-                newRow.Add(row[i]);
-            }
-            newTable.Add(newRow);
-        }
-        var pivotPoint = newTable[pivotRow + 1][pivotCol];
-        // divide pivot row by pivot point
-        for (int i = 0; i < newTable[pivotRow + 1].Count; i++)
-        {
-            newTable[pivotRow + 1][i] = newTable[pivotRow + 1][i] / pivotPoint;
-        }
-        // current possition-(pivot_row*new_table pivot_point)
-        for (int i = 0; i < newTable.Count; i++)
-        {
-            if (i != pivotRow + 1)
-            {
-                var currentPossition = newTable[i][pivotCol];
-                for (int j = 0; j < newTable[i].Count; j++)
-                {
-                    newTable[i][j] = newTable[i][j] - (currentPossition * newTable[pivotRow + 1][j]);
-                }
-            }
-        }
-        return newTable;
-    }
-
-    //check if the table is optimal first phase
-    // table is optimal if all values in table[1] are positive
-
-
-    static bool isOptimalPhaseOne(List<List<float>> table)
-    {
-        int wIndex = 0;
-        for (int i = 0; i < table[1].Count; i++)
-        {
-            if (table[1][i] < 0)
-            {
-                wIndex = i;
-            }
-        }
-        if (wIndex == 0)
-        {
-            return true;
-        }
-        else
-        {
-            return false;
-        }
-    }
-
-
-    static bool isOptimalPhaseTwo(List<List<float>> table)
-    {
-        int wIndex = 0;
-        for (int i = 0; i < table[0].Count; i++)
-        {
-            if (table[0][i] < 0)
-            {
-                wIndex = i;
-            }
-        }
-        if (wIndex == 0)
-        {
-            return true;
-        }
-        else
-        {
-            return false;
-        }
-    }
-
-
-    //drop all a coloumn from the table and drop w row from the table
-    static List<List<float>> dropCol(List<List<float>> table, int varCount)
-    {
-        table.RemoveAt(1);
-        
-
-        // for each row in table drop the varCount-1th element
-        for (int i = 0; i < table.Count; i++)
-        {
-            for (int j = varCount + 1; j < table[i].Count - 1; j+=3)
-            {
-                table[i].RemoveAt(j);
-                j = j - 1;
-            }
-        }
-        return table;
-    }
-}