diff --git a/simplex.cpp b/simplex.cpp
index 70e7c2f..6dceb3a 100644
--- a/simplex.cpp
+++ b/simplex.cpp
@@ -1,6 +1,7 @@
 #include <algorithm>
 #include <iostream>
 #include "tools/matrix.h"
+#include "tools/math.h"
 
 enum solver_state {
 	unbounded,
@@ -10,7 +11,26 @@ enum solver_state {
 struct Result {
 	solver_state state;
 	ColumnVector *solution;
-	double objective_fucntion_value;
+	double objective_function_value;
+};
+
+struct FracturedMatrix {
+	Matrix A;
+	ColumnVector C;
+	ColumnVector b;
+	int pivot_column_index;
+	int pivot_row_index;
+	FracturedMatrix();
+	FracturedMatrix(const FracturedMatrix& other) : A(other.A), C(other.C), b(other.b), pivot_column_index(other.pivot_column_index), pivot_row_index(other.pivot_row_index) {}
+	FracturedMatrix(Matrix A, ColumnVector C, ColumnVector b, int pivot_column_index, int pivot_row_index) : A(A), C(C), b(b), pivot_column_index(pivot_column_index), pivot_row_index(pivot_row_index) {}
+	FracturedMatrix& FracturedMatrix::operator=(const FracturedMatrix& other) {
+		A = other.A;
+        C = other.C;
+        b = other.b;
+        pivot_column_index = other.pivot_column_index;
+        pivot_row_index = other.pivot_row_index;
+		return *this;
+	}
 };
 
 Result Simplex(ColumnVector C, Matrix A, ColumnVector b, double eps = 0.01, bool maximize=true) {
@@ -22,19 +42,23 @@ Result Simplex(ColumnVector C, Matrix A, ColumnVector b, double eps = 0.01, bool
     int n = C.getRows();
     int m = A.getColumns();
 
-	ColumnVector ratio_vector(m);
+	while (b[0] < eps) {
+		//3
+		int pivot_column_index = 0;
+		pivot_column_index = Math::max_index(C);
 
-	int pivot_column_index = 0;
+		//4
+		ColumnVector ratio_vector(m);
+		for (int i = 0; i < m; i++) {
+			ratio_vector[i] = b[i] / A[i][pivot_column_index];
+		}
+		int pivot_row_index = Math::min_index(ratio_vector);
 
-	pivot_column_index = max(C);
+		//5
+		struct FracturedMatrix fractured_matrix();
+		fractured_matrix = eleminate(A, C, b, pivot_column_index, pivot_row_index);
+	}
 
-	for (int i = 0; i < m; i++) {
-        ratio_vector[i] = b[i] / A[i][pivot_column_index];
-    }
-
-	int pivot_row_index = min(ratio_vector);
-
-	eleminate(A, C, b, pivot_column_index, pivot_row_index);
 	/*
 	Result result;
 	std::vector<int> basicVars(A.getColumns() - A.getRows());
diff --git a/tools/math.cpp b/tools/math.cpp
index 255124d..d6a5dae 100644
--- a/tools/math.cpp
+++ b/tools/math.cpp
@@ -1,7 +1,7 @@
 #include "math.h"
 #include "matrix.h"
 
-double Math::minVector(ColumnVector columnVector) {
+double Math::min(ColumnVector columnVector) {
     double temp = columnVector[0];
     for (int j = 0; j < columnVector.getColumns(); j++) {
         if (columnVector[j] < temp) {
@@ -11,7 +11,7 @@ double Math::minVector(ColumnVector columnVector) {
     return temp;
 }
 
-double Math::maxVector(ColumnVector columnVector) {
+double Math::max(ColumnVector columnVector) {
     double temp = columnVector[0];
     for (int j = 0; j < columnVector.getColumns(); j++) {
         if (columnVector[j] > temp) {
@@ -21,7 +21,31 @@ double Math::maxVector(ColumnVector columnVector) {
     return temp;
 }
 
-double Math::minArray(std::vector<double> array) {
+int Math::min_index(ColumnVector columnVector) {
+    int temp_index = 0;
+    double temp = columnVector[0];
+    for (int j = 0; j < columnVector.getColumns(); j++) {
+        if (columnVector[j] < temp) {
+            temp_index = j;
+            temp = columnVector[j];
+        }
+    }
+    return temp_index;
+}
+
+int Math::max_index(ColumnVector columnVector) {
+    int temp_index = 0;
+    double temp = columnVector[0];
+    for (int j = 0; j < columnVector.getColumns(); j++) {
+        if (columnVector[j] > temp) {
+            temp_index = j;
+            temp = columnVector[j];
+        }
+    }
+    return temp_index;
+}
+
+double Math::min(std::vector<double> array) {
     double temp = array[0];
     for (size_t i = 1; i < array.size(); i++) {
         if (array[i] < temp) {
@@ -31,7 +55,7 @@ double Math::minArray(std::vector<double> array) {
     return temp;
 }
 
-double Math::maxArray(std::vector<double> array) {
+double Math::max(std::vector<double> array) {
     double temp = array[0];
     for (size_t i = 1; i < array.size(); i++) {
         if (array[i] > temp) {
@@ -40,3 +64,27 @@ double Math::maxArray(std::vector<double> array) {
     }
     return temp;
 }
+
+int Math::min_index(std::vector<double> array) {
+    int temp_index = 0;
+    double temp = array[0];
+    for (size_t i = 1; i < array.size(); i++) {
+        if (array[i] < temp) {
+            temp_index = i;
+            temp = array[i];
+        }
+    }
+    return temp_index;
+}
+
+int Math::max_index(std::vector<double> array) {
+    int temp_index = 0;
+    double temp = array[0];
+    for (size_t i = 1; i < array.size(); i++) {
+        if (array[i] > temp) {
+            temp_index = i;
+            temp = array[i];
+        }
+    }
+    return temp_index;
+}
\ No newline at end of file
diff --git a/tools/math.h b/tools/math.h
index b641471..1afd176 100644
--- a/tools/math.h
+++ b/tools/math.h
@@ -7,10 +7,14 @@ class ColumnVector;
 
 class Math {
 public:
-    double minVector(ColumnVector columnVector);
-    double maxVector(ColumnVector columnVector);
-    double minArray(std::vector<double> array);
-    double maxArray(std::vector<double> array);
+    double min(ColumnVector columnVector);
+    double max(ColumnVector columnVector);
+    int min_index(ColumnVector columnVector);
+    int max_index(ColumnVector columnVector);
+    double min(std::vector<double> array);
+    double max(std::vector<double> array);
+    int min_index(std::vector<double> array);
+    int max_index(std::vector<double> array);
 };
 
 #endif // MATH_H
\ No newline at end of file