diff --git a/ENUME/projectA/QRNoShifts.asv b/ENUME/projectA/QRNoShifts.asv index ff3ed3ef..36d9cd70 100644 --- a/ENUME/projectA/QRNoShifts.asv +++ b/ENUME/projectA/QRNoShifts.asv @@ -1,44 +1,52 @@ function [eigenValues, whichIterationAreWeOn, Matrix] = QRNoShifts(Matrix) - startingMatrix = Matrix; - matlabEigen = eig(Matrix); - [whichIterationAreWeOn, threshold] = initializeValues(); - [Matrix, whichIterationAreWeOn, eigenValues] = QRNoShiftsLoop(threshold, Matrix, whichIterationAreWeOn); - - % convert eigenvalue matrix to vector + + [whichIterationAreWeOn, threshold, startingMatrix, matlabEigen] = initializeValues(Matrix); + [Matrix, whichIterationAreWeOn] = QRNoShiftsLoop(threshold, Matrix, whichIterationAreWeOn); eigenValues = diag(Matrix)'; - disp("Iterations it took: "); - disp(whichIterationAreWeOn); - disp("Final matrix: "); - disp(Matrix); + %displayResults(eigenValues, whichIterationAreWeOn, Matrix, startingMatrix, matlabEigen); end -function [Matrix, whichIterationAreWeOn, eigenValues] = QRNoShiftsLoop(threshold, Matrix, whichIterationAreWeOn) +function [Matrix, whichIterationAreWeOn] = QRNoShiftsLoop(threshold, Matrix, whichIterationAreWeOn) while threshold > 1e-6 - [Q, R] = gramSchmidtAlgorithm(Matrix); - Matrix = R * Q; - whichIterationAreWeOn = whichIterationAreWeOn + 1; - - % iterate until all non-diagonal elements are below the threshold - matrixWithoutDiagonal = Matrix - diag(diag(Matrix)); % first diag converts Matrix - % into vector consisting of values on the diagonal of matrix, - % second diag converts this vector into matrix with zeros on - % everything except diagonal - % If we substract it from Matrix we get original Matrix with zeros - % on a diagonal - threshold = max(abs(matrixWithoutDiagonal)); + [Matrix, whichIterationAreWeOn, threshold] = QRNoShiftsInsideLoop(Matrix, whichIterationAreWeOn); end end +function [Matrix, whichIterationAreWeOn, threshold] = QRNoShiftsInsideLoop(Matrix, whichIterationAreWeOn) + [Q, R] = gramSchmidtAlgorithm(Matrix); + Matrix = R * Q; + whichIterationAreWeOn = whichIterationAreWeOn + 1; + + % iterate until all non-diagonal elements are below the threshold + matrixWithoutDiagonal = Matrix - diag(diag(Matrix)); % first diag converts Matrix + % into vector consisting of values on the diagonal of matrix, + % second diag converts this vector into matrix with zeros on + % everything except diagonal + % If we substract it from Matrix we get original Matrix with zeros + % on a diagonal + threshold = max(max(abs(matrixWithoutDiagonal))); + % first max returns vector of elements + % second max returns max element from this vector +end + function displayResults(eigenValues, whichIterationsAreWeOn, Matrix, startingMatrix, matlabEigen) disp("How many iterations it took:") - disp(whichIterationsAreWeOn); - disp("Starting matrix:") - disp(M) + disp(whichIterationsAreWeOn) + disp("Starting Matrix:") + disp(startingMatrix) + disp("Final Matrix:") + disp(Matrix) + disp("eig(Matrix) eigen values:") + disp(matlabEigen) + disp("Our eigen values:") + disp(eigenValues); end -function [whichIterationAreWeOn, threshold] = initializeValues() +function [whichIterationAreWeOn, threshold, startingMatrix, matlabEigen] = initializeValues(Matrix) whichIterationAreWeOn = 0; threshold = inf; + startingMatrix = Matrix; + matlabEigen = eig(Matrix); end % performs QR or QRdash decomposition of a matrix diff --git a/ENUME/projectA/QRNoShifts.m b/ENUME/projectA/QRNoShifts.m index 31301c80..36d9cd70 100644 --- a/ENUME/projectA/QRNoShifts.m +++ b/ENUME/projectA/QRNoShifts.m @@ -3,7 +3,7 @@ function [eigenValues, whichIterationAreWeOn, Matrix] = QRNoShifts(Matrix) [whichIterationAreWeOn, threshold, startingMatrix, matlabEigen] = initializeValues(Matrix); [Matrix, whichIterationAreWeOn] = QRNoShiftsLoop(threshold, Matrix, whichIterationAreWeOn); eigenValues = diag(Matrix)'; - displayResults(whichIterationAreWeOn, Matrix, startingMatrix, matlabEigen); + %displayResults(eigenValues, whichIterationAreWeOn, Matrix, startingMatrix, matlabEigen); end function [Matrix, whichIterationAreWeOn] = QRNoShiftsLoop(threshold, Matrix, whichIterationAreWeOn) @@ -29,7 +29,7 @@ function [Matrix, whichIterationAreWeOn, threshold] = QRNoShiftsInsideLoop(Matri % second max returns max element from this vector end -function displayResults(whichIterationsAreWeOn, Matrix, startingMatrix, matlabEigen) +function displayResults(eigenValues, whichIterationsAreWeOn, Matrix, startingMatrix, matlabEigen) disp("How many iterations it took:") disp(whichIterationsAreWeOn) disp("Starting Matrix:") @@ -39,6 +39,7 @@ function displayResults(whichIterationsAreWeOn, Matrix, startingMatrix, matlabEi disp("eig(Matrix) eigen values:") disp(matlabEigen) disp("Our eigen values:") + disp(eigenValues); end function [whichIterationAreWeOn, threshold, startingMatrix, matlabEigen] = initializeValues(Matrix) diff --git a/ENUME/projectA/QRShifts.asv b/ENUME/projectA/QRShifts.asv deleted file mode 100644 index 4691f5e7..00000000 --- a/ENUME/projectA/QRShifts.asv +++ /dev/null @@ -1,121 +0,0 @@ -% finds the eigenValues of a matrix using QR with shifts -function [eigenValues, whatIterationAreWeOn, Matrix] = QRShifts(Matrix) - [eigenValues, whatIterationAreWeOn, matrixSize, minThreshold] = initiateValues(Matrix); - [Matrix, whatIterationAreWeOn, eigenValues] = QRShiftLoop(matrixSize, Matrix, eigenValues, minThreshold, whatIterationAreWeOn); -end - -function [eigenValues, whatIterationAreWeOn, matrixSize, minThreshold] = initiateValues(Matrix) - eigenValues = double.empty(1, 0); - whatIterationAreWeOn = 0; - matrixSize = size(Matrix, 1); - minThreshold = 1e-6; -end - -function [finalMatrix, whatIterationAreWeOn, eigenValues] = QRShiftLoop(matrixSize, Matrix, eigenValues, minThreshold, whatIterationAreWeOn) - while matrixSize >= 2 - flag = 0; - [Matrix, matrixSize, whatIterationAreWeOn, eigenValues] = findEigenValue(Matrix, matrixSize, whatIterationAreWeOn, eigenValues, minThreshold, flag); - [finalMatrix, matrixSize, Matrix] = deflateMatrix(Matrix, matrixSize); - end - eigenValues(size(eigenValues, 2) + 1) = Matrix(1, 1); -end - -function [Matrix, matrixSize, whatIterationAreWeOn, eigenValues] = findEigenValue(Matrix, matrixSize, whatIterationAreWeOn, eigenValues, minThreshold, flag) - while flag == 0 - eigenValueCorner = getEigenValueFromCorner(Matrix, matrixSize); - [Matrix, whatIterationAreWeOn] = shiftAndIterate(matrixSize, Matrix, eigenValueCorner, whatIterationAreWeOn); - [flag, eigenValues] = thresholdBreached(Matrix, matrixSize, minThreshold, eigenValues); - end -end - -function eigenValueCorner = getEigenValueFromCorner(Matrix, matrixSize) - corner = Matrix((matrixSize - 1) : matrixSize, (matrixSize - 1) : matrixSize); - % get 2 x 2 corner of the matrix - eigenValueCorner = solveCharactersticEquation(corner); -end - -function [Matrix, whatIterationAreWeOn] = shiftAndIterate(matrixSize, Matrix, eigenValueCorner, whatIterationAreWeOn) - % shift and iterate algorithm - identityMatrix = eye(matrixSize); - Matrix = Matrix - identityMatrix * eigenValueCorner; - [Q, R] = gramSchmidtAlgorithm(Matrix); - Matrix = R * Q + identityMatrix * eigenValueCorner; - whatIterationAreWeOn = whatIterationAreWeOn + 1; -end - -function [finalMatrix, matrixSize, Matrix] = deflateMatrix(Matrix, matrixSize) - finalMatrix(1 : matrixSize, 1 : matrixSize) = Matrix; - matrixSize = matrixSize - 1; - Matrix = Matrix(1:matrixSize, 1:matrixSize); -end - -function [flag, eigenValues] = thresholdBreached(Matrix, matrixSize, minThreshold, eigenValues) - flag = 0; - threshold = max(abs(Matrix(matrixSize, 1:(matrixSize - 1)))); - - % once we zero the row (or rather get close enough to zero) exit loop - if (threshold <= minThreshold) - eigenValues(size(eigenValues, 2) + 1) = Matrix(matrixSize, matrixSize); - flag = 1; - end -end - -% finds the eigenvalue of a 2x2 matrix that is closer to the lower right corner -function eigen = solveCharactersticEquation(Matrix) - [eigen1, eigen2] = calculateZeros(Matrix); - -end - -function eigen = valueCloserToLowerRightCorner(eigen1, eigen) - if abs(Matrix(4) - eigen1) < abs(Matrix(4) - eigen2) - eigen = eigen1; - else - eigen = eigen2; - end -end - -function [zeroOne, zeroTwo] = calculateZeros(Matrix) - b = Matrix(1) + Matrix(4); - ac = Matrix(1) * Matrix(4) - Matrix(2) * Matrix(3); - delta = (b) ^ 2 - 4 * ac; - % get delta of quadratic equation - squareRootDelta = sqrt(delta); - % square delta - zeroOne = (b - squareRootDelta) / 2; - zeroTwo = (b + squareRootDelta) / 2; -end - -% performs QR or QRdash decomposition of a matrix -function [Q, R] = gramSchmidtAlgorithm(Matrix) - [columns, Q, R, d] = initializeGramSchmid(Matrix); - [Q, R] = factorizeColumnsOfQ(columns, Q, Matrix, R, d); - [Q, R] = normalizeColumns(columns, Q, R); -end - -function [columns, Q, R, d] = initializeGramSchmid(Matrix) - % We start with empty matrices - [rows, columns] = size(Matrix); - Q = zeros(rows, columns); - R = zeros(columns, columns); - d = zeros(1, columns); -end - -function [Q, R] = factorizeColumnsOfQ(columns, Q, Matrix, R, d) - for i = 1 : columns - Q(:, i) = Matrix(:, i); - R(i, i) = 1; - d(i) = Q(:, i)' * Q(:, i); - for i2 = i + 1 : columns - R(i, i2) = (Q(:, i)' * Matrix(:, i2)) / d(i); - Matrix(:, i2) = Matrix(:, i2) - R(i, i2) * Q(:, i); - end - end -end - -function [Q, R] = normalizeColumns(columns, Q, R) - for i = 1 : columns - dd = norm(Q(:, i)); - Q(:, i) = Q(:, i) / dd; - R(i, i:columns) = R(i, i : columns) * dd; - end -end \ No newline at end of file diff --git a/ENUME/projectA/QRShifts.m b/ENUME/projectA/QRShifts.m index 17b0dbf9..a280484b 100644 --- a/ENUME/projectA/QRShifts.m +++ b/ENUME/projectA/QRShifts.m @@ -4,7 +4,7 @@ function [eigenValues, whatIterationAreWeOn, Matrix] = QRShifts(Matrix) initialMatrix = Matrix; [eigenValues, whatIterationAreWeOn, matrixSize, minThreshold] = initiateValues(Matrix); [Matrix, whatIterationAreWeOn, eigenValues] = QRShiftLoop(matrixSize, Matrix, eigenValues, minThreshold, whatIterationAreWeOn); - dispResults(Matrix, whatIterationAreWeOn, eigenFromMatlab, initialMatrix); + %dispResults(eigenValues, Matrix, whatIterationAreWeOn, eigenFromMatlab, initialMatrix); end function [eigenValues, whatIterationAreWeOn, matrixSize, minThreshold] = initiateValues(Matrix) @@ -122,7 +122,7 @@ function [Q, R] = normalizeColumns(columns, Q, R) end end -function dispResults(Matrix, whatIterationAreWeOn, eigenFromMatlab, initialMatrix) +function dispResults(eigenValues, Matrix, whatIterationAreWeOn, eigenFromMatlab, initialMatrix) disp("Initial matrix: "); disp(initialMatrix); disp("Final matrix: "); @@ -132,4 +132,5 @@ function dispResults(Matrix, whatIterationAreWeOn, eigenFromMatlab, initialMatri disp("Eigen values from eig(Matrix):"); disp(eigenFromMatlab); disp("Our eigen values: "); + disp(eigenValues); end \ No newline at end of file diff --git a/ENUME/projectA/matrix4.m b/ENUME/projectA/matrix4.m index 902705cf..a806628f 100644 --- a/ENUME/projectA/matrix4.m +++ b/ENUME/projectA/matrix4.m @@ -1,7 +1,6 @@ -function A = matrix4() - A = [1, 1, 7, 5, 2; - 1, 8, 5, 4, 4; - 7, 5, 0, 8, 8; - 5, 4, 8, 0, 8; - 2, 4, 8, 8, 1]; +function A = matrix4(n) + A = 10 * rand(n); % rand generates 5x5 matrix filled with random numbers + % we multiply by 10 to get at lest one digit in front of the dot + A = floor(A); % we floor the matrix we got to get nice natural numbers matrix + A = A * A'; % we get symmetric matrix end \ No newline at end of file diff --git a/ENUME/projectA/projectA.aux b/ENUME/projectA/projectA.aux index 170f05fa..690d87a7 100644 --- a/ENUME/projectA/projectA.aux +++ b/ENUME/projectA/projectA.aux @@ -77,37 +77,63 @@ \@writefile{toc}{\contentsline {section}{\numberline {4.2}Theoretical introduction}{34}{section.4.2}\protected@file@percent } \@writefile{toc}{\contentsline {subsection}{\numberline {4.2.1}Eigenvalues}{34}{subsection.4.2.1}\protected@file@percent } \@writefile{toc}{\contentsline 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[2][-]{subsection.5.2.6}{gaussSeidelLoop}{section.5.2}% 60 +\BOOKMARK [2][-]{subsection.5.2.7}{gaussiInsideLoop}{section.5.2}% 61 +\BOOKMARK [2][-]{subsection.5.2.8}{gaussSeidelEquation}{section.5.2}% 62 +\BOOKMARK [2][-]{subsection.5.2.9}{checkError}{section.5.2}% 63 +\BOOKMARK [2][-]{subsection.5.2.10}{endOfLoop}{section.5.2}% 64 +\BOOKMARK [2][-]{subsection.5.2.11}{dispFinalResults}{section.5.2}% 65 +\BOOKMARK [2][-]{subsection.5.2.12}{plotIterations}{section.5.2}% 66 +\BOOKMARK [2][-]{subsection.5.2.13}{plotIterations}{section.5.2}% 67 +\BOOKMARK [1][-]{section.5.3}{Task 4 Code}{chapter.5}% 68 +\BOOKMARK [2][-]{subsection.5.3.1}{Gram-Schmid algorithm}{section.5.3}% 69 +\BOOKMARK [2][-]{subsection.5.3.2}{QRNoShifts}{section.5.3}% 70 +\BOOKMARK [2][-]{subsection.5.3.3}{QRShifts}{section.5.3}% 71 diff --git a/ENUME/projectA/projectA.pdf b/ENUME/projectA/projectA.pdf index 506d95f7..69485d6e 100644 Binary files a/ENUME/projectA/projectA.pdf and b/ENUME/projectA/projectA.pdf differ diff --git a/ENUME/projectA/projectA.synctex.gz b/ENUME/projectA/projectA.synctex.gz index 3142ee76..def5ec69 100644 Binary files a/ENUME/projectA/projectA.synctex.gz and b/ENUME/projectA/projectA.synctex.gz differ diff --git a/ENUME/projectA/projectA.tex b/ENUME/projectA/projectA.tex index 120c9c17..7a351dcb 100755 --- a/ENUME/projectA/projectA.tex +++ b/ENUME/projectA/projectA.tex @@ -970,11 +970,120 @@ Since this method can be slowly convergent we use shifts. Single iteration of QR \end{split} \end{equation} -Wher $p_k$ sholud be chosen as a best estimate of $\lambda_{i+1}$ +Wher $p_k$ should be chosen as a best estimate of $\lambda_{i+1}$ -\section{Solution} +\section{Results} +\subsection{Starting matrix} +I decided to generate random symmetric matrix using following code: +\begin{simplechar} +\begin{lstlisting} +function A = matrix4() + A = 10 * rand(5); % rand generates 5x5 matrix filled with random numbers + % we multiply by 10 to get at lest one digit in front of the dot + A = floor(A); % we floor the matrix we got to get nice natural numbers matrix + A = A * A'; % we get symmetric matrix + disp(issymmetric(A)); % we check if matrix is symmetric +end +\end{lstlisting} +\end{simplechar} +I got the following matrix: +\[ +\begin{bmatrix} +171 & 48 & 133 & 81 & 93 \\ + 48 & 108 & 63 & 35 & 30 \\ +133 & 63 & 131 & 64 & 91 \\ + 81 & 35 & 64 & 41 & 37 \\ + 93 & 30 & 91 & 37 & 106 +\end{bmatrix} +\] + +Putting it through Matlab eig function I got eigen values equal to: +\[ +10^{2} * +\begin{bmatrix} + 0.000050598692964 \\ + 0.105696602175690 \\ + 0.454589544003707 \\ + 0.870708987227002 \\ + 4.138954267900641 +\end{bmatrix} +\] + + +\subsection{QR method with no shifts} +Putting this matrix to my functions QRNoShifts and QRShifts I got: +for qr method with no shifts: +Final matrix: +\[ +\begin{bmatrix} +413.8954 & 0.0000 & -0.0000 & 0.0000 & 0.0000 \\ + 0.0000 & 87.0709 & -0.0000 & -0.0000 & 0.0000 \\ +0.0000 & -0.0000 & 45.4590 & -0.0000 & -0.0000 \\ + -0.0000 & 0.0000 & -0.0000 & 10.5697 & -0.0000 \\ + 0.0000 & -0.0000 & 0.0000 & 0 & 0.0051 +\end{bmatrix} +\] + +Eigen values: +\[ +10^{2} * +\begin{bmatrix} + 4.138954267900639 \\ + 0.870708987227001 \\ + 0.454589544003706 \\ + 0.105696602175689 \\ + 0.000050598692964 \\ +\end{bmatrix} +\] + +It took \textbf{26} iterations to get those values. + +\subsection{QR method with shifts} +For qr method with shiftts: +Final matrix: +\[ +\begin{bmatrix} +413.8954 +\end{bmatrix} +\] + +Eigen values: +\[ +10^{2} * +\begin{bmatrix} + 0.454589544003706 \\ + 0.870708987227001 \\ + 0.105696602175689 \\ + 0.000050598692964 \\ + 4.138954267900639 +\end{bmatrix} +\] + +It took \textbf{12} iterations to get those values. \section{Discussion of the result} +Following plot was generated using task4Plot function, using maxMatrixSize = 25 and generating random symmetrical matrix of size i x i in each loop. Both QR methods were given exactly the same matrices. +\subsection{Plot} + +\begin{center} + \includegraphics[scale=0.5]{task4plot.eps} +\end{center} +\subsection{Shift method superiority} +As we can see: +QR method with shifts is much more efficient and reliable. +\begin{enumerate} +\item For big enough matrices it requires ten times less iterations compared to QR method without shifts. +\item It is more efficient in our chosen matrix. +\item It can work with non-symetric matrices +\item Has no problem with generating complex eigen values. +\end{enumerate} + One thing that does not change much is the precision, with both algorithms outputting similar results. + + + + + + \chapter{Code appendix} @@ -1385,6 +1494,311 @@ end \end{lstlisting} \end{simplechar} +\section{Task 4 Code} +\subsection{Gram-Schmid algorithm} + +\begin{simplechar} +\begin{lstlisting} +% performs QR or QRdash decomposition of a matrix +function [Q, R] = gramSchmidtAlgorithm(Matrix) + [columns, Q, R, d] = initializeGramSchmid(Matrix); + [Q, R] = factorizeColumnsOfQ(columns, Q, Matrix, R, d); + [Q, R] = normalizeColumns(columns, Q, R); +end +\end{lstlisting} +\end{simplechar} + +\subsubsection{initializeGramSchmid} +\begin{simplechar} +\begin{lstlisting} +function [columns, Q, R, d] = initializeGramSchmid(Matrix) + % We start with empty matrices + [rows, columns] = size(Matrix); + Q = zeros(rows, columns); + R = zeros(columns, columns); + d = zeros(1, columns); +end +\end{lstlisting} +\end{simplechar} + +\subsubsection{initializeGramSchmid} +\begin{simplechar} +\begin{lstlisting} +function [Q, R] = factorizeColumnsOfQ(columns, Q, Matrix, R, d) + for i = 1 : columns + Q(:, i) = Matrix(:, i); + R(i, i) = 1; + d(i) = Q(:, i)' * Q(:, i); + for i2 = i + 1 : columns + R(i, i2) = (Q(:, i)' * Matrix(:, i2)) / d(i); + Matrix(:, i2) = Matrix(:, i2) - R(i, i2) * Q(:, i); + end + end +end +\end{lstlisting} +\end{simplechar} + +\subsubsection{initializeGramSchmid} +\begin{simplechar} +\begin{lstlisting} +function [Q, R] = normalizeColumns(columns, Q, R) + for i = 1 : columns + dd = norm(Q(:, i)); + Q(:, i) = Q(:, i) / dd; + R(i, i:columns) = R(i, i : columns) * dd; + end +end +\end{lstlisting} +\end{simplechar} + + +\begin{simplechar} +\begin{lstlisting} +function [eigenValuesNoShifts, iterationsNoShifts, finalMatrixNoShifts, eigenValuesShifts, iterationsShifts, finalMatrixShifts] = task4(Matrix) + [eigenValuesNoShifts, iterationsNoShifts, finalMatrixNoShifts] = QRNoShifts(Matrix); + [eigenValuesShifts, iterationsShifts, finalMatrixShifts] = QRShifts(Matrix); +end +\end{lstlisting} +\end{simplechar} + +\subsection{QRNoShifts} +\begin{simplechar} +\begin{lstlisting} +function [eigenValues, whichIterationAreWeOn, Matrix] = QRNoShifts(Matrix) + + [whichIterationAreWeOn, threshold, startingMatrix, matlabEigen] = initializeValues(Matrix); + [Matrix, whichIterationAreWeOn] = QRNoShiftsLoop(threshold, Matrix, whichIterationAreWeOn); + eigenValues = diag(Matrix)'; + displayResults(eigenValues, whichIterationAreWeOn, Matrix, startingMatrix, matlabEigen); +end +\end{lstlisting} +\end{simplechar} + +\subsubsection{QRNoShiftsLoop} +\begin{simplechar} +\begin{lstlisting} +function [Matrix, whichIterationAreWeOn] = QRNoShiftsLoop(threshold, Matrix, whichIterationAreWeOn) + while threshold > 1e-6 + [Matrix, whichIterationAreWeOn, threshold] = QRNoShiftsInsideLoop(Matrix, whichIterationAreWeOn); + end +end +\end{lstlisting} +\end{simplechar} + +\subsubsection{QRNoShiftsInsideLoop} +\begin{simplechar} +\begin{lstlisting} +function [Matrix, whichIterationAreWeOn, threshold] = QRNoShiftsInsideLoop(Matrix, whichIterationAreWeOn) + [Q, R] = gramSchmidtAlgorithm(Matrix); + Matrix = R * Q; + whichIterationAreWeOn = whichIterationAreWeOn + 1; + + % iterate until all non-diagonal elements are below the threshold + matrixWithoutDiagonal = Matrix - diag(diag(Matrix)); % first diag converts Matrix + % into vector consisting of values on the diagonal of matrix, + % second diag converts this vector into matrix with zeros on + % everything except diagonal + % If we substract it from Matrix we get original Matrix with zeros + % on a diagonal + threshold = max(max(abs(matrixWithoutDiagonal))); + % first max returns vector of elements + % second max returns max element from this vector +end +\end{lstlisting} +\end{simplechar} + +\subsubsection{displayResults} +\begin{simplechar} +\begin{lstlisting} +function displayResults(eigenValues, whichIterationsAreWeOn, Matrix, startingMatrix, matlabEigen) + disp("How many iterations it took:") + disp(whichIterationsAreWeOn) + disp("Starting Matrix:") + disp(startingMatrix) + disp("Final Matrix:") + disp(Matrix) + disp("eig(Matrix) eigen values:") + disp(matlabEigen) + disp("Our eigen values:") + disp(eigenValues); +end +\end{lstlisting} +\end{simplechar} + +\subsubsection{initializeValues} +\begin{simplechar} +\begin{lstlisting} +function [whichIterationAreWeOn, threshold, startingMatrix, matlabEigen] = initializeValues(Matrix) + whichIterationAreWeOn = 0; + threshold = inf; + startingMatrix = Matrix; + matlabEigen = eig(Matrix); +end +\end{lstlisting} +\end{simplechar} + +\subsection{QRShifts} +\begin{simplechar} +\begin{lstlisting} +function [eigenValues, whatIterationAreWeOn, Matrix] = QRShifts(Matrix) + eigenFromMatlab = eig(Matrix); + initialMatrix = Matrix; + [eigenValues, whatIterationAreWeOn, matrixSize, minThreshold] = initiateValues(Matrix); + [Matrix, whatIterationAreWeOn, eigenValues] = QRShiftLoop(matrixSize, Matrix, eigenValues, minThreshold, whatIterationAreWeOn); + dispResults(eigenValues, Matrix, whatIterationAreWeOn, eigenFromMatlab, initialMatrix); +end +\end{lstlisting} +\end{simplechar} + +\subsubsection{initiateValues} +\begin{simplechar} +\begin{lstlisting} +function [eigenValues, whatIterationAreWeOn, matrixSize, minThreshold] = initiateValues(Matrix) + eigenValues = double.empty(1, 0); + whatIterationAreWeOn = 0; + matrixSize = size(Matrix, 1); + minThreshold = 1e-6; +end + +\end{lstlisting} +\end{simplechar} + +\subsubsection{QRShiftLoop} +\begin{simplechar} +\begin{lstlisting} +function [Matrix, whatIterationAreWeOn, eigenValues] = QRShiftLoop(matrixSize, Matrix, eigenValues, minThreshold, whatIterationAreWeOn) + while matrixSize >= 2 + flag = 0; + [Matrix, matrixSize, whatIterationAreWeOn, eigenValues] = findEigenValue(Matrix, matrixSize, whatIterationAreWeOn, eigenValues, minThreshold, flag); + [matrixSize, Matrix] = deflateMatrix(Matrix, matrixSize); + end + eigenValues(size(eigenValues, 2) + 1) = Matrix(1, 1); +end +\end{lstlisting} +\end{simplechar} + +\subsubsection{findEigenValue} +\begin{simplechar} +\begin{lstlisting} +function [Matrix, matrixSize, whatIterationAreWeOn, eigenValues] = findEigenValue(Matrix, matrixSize, whatIterationAreWeOn, eigenValues, minThreshold, flag) + while flag == 0 + eigenValueCorner = getEigenValueFromCorner(Matrix, matrixSize); + [Matrix, whatIterationAreWeOn] = shiftAndIterate(matrixSize, Matrix, eigenValueCorner, whatIterationAreWeOn); + [flag, eigenValues] = thresholdBreached(Matrix, matrixSize, minThreshold, eigenValues); + end +end + +\end{lstlisting} +\end{simplechar} + +\subsubsection{getEigenValueFromCorner} +\begin{simplechar} +\begin{lstlisting} +function eigenValueCorner = getEigenValueFromCorner(Matrix, matrixSize) + corner = Matrix((matrixSize - 1) : matrixSize, (matrixSize - 1) : matrixSize); + % get 2 x 2 corner of the matrix + eigenValueCorner = solveCharactersticEquation(corner); +end + +\end{lstlisting} +\end{simplechar} + +\subsubsection{shiftAndIterate} +\begin{simplechar} +\begin{lstlisting} +function [Matrix, whatIterationAreWeOn] = shiftAndIterate(matrixSize, Matrix, eigenValueCorner, whatIterationAreWeOn) + % shift and iterate algorithm + identityMatrix = eye(matrixSize); + Matrix = Matrix - identityMatrix * eigenValueCorner; + [Q, R] = gramSchmidtAlgorithm(Matrix); + Matrix = R * Q + identityMatrix * eigenValueCorner; + whatIterationAreWeOn = whatIterationAreWeOn + 1; +end + +\end{lstlisting} +\end{simplechar} + +\subsubsection{deflateMatrix} +\begin{simplechar} +\begin{lstlisting} +function [matrixSize, Matrix] = deflateMatrix(Matrix, matrixSize) + matrixSize = matrixSize - 1; + Matrix = Matrix(1:matrixSize, 1:matrixSize); +end + +\end{lstlisting} +\end{simplechar} + +\subsubsection{thresholdBreached} +\begin{simplechar} +\begin{lstlisting} +function [flag, eigenValues] = thresholdBreached(Matrix, matrixSize, minThreshold, eigenValues) + flag = 0; + threshold = max(abs(Matrix(matrixSize, 1:(matrixSize - 1)))); + + % once we zero the row (or rather get close enough to zero) exit loop + if (threshold <= minThreshold) + eigenValues(size(eigenValues, 2) + 1) = Matrix(matrixSize, matrixSize); + flag = 1; + end +end +\end{lstlisting} +\end{simplechar} + +\subsubsection{solveCharactersticEquation} +\begin{simplechar} +\begin{lstlisting} +% finds the eigenvalue of a 2x2 matrix that is closer to the lower right corner +function eigen = solveCharactersticEquation(Matrix) + [eigenOne, eigenTwo] = calculateZeros(Matrix); + eigen = valueCloserToLowerRightCorner(eigenOne, eigenTwo, Matrix); +end + +function eigen = valueCloserToLowerRightCorner(eigenOne, eigenTwo, Matrix) + if abs(Matrix(4) - eigenOne) < abs(Matrix(4) - eigenTwo) + eigen = eigenOne; + else + eigen = eigenTwo; + end +end +\end{lstlisting} +\end{simplechar} + +\subsubsection{calculateZeros} +\begin{simplechar} +\begin{lstlisting} +function [zeroOne, zeroTwo] = calculateZeros(Matrix) + b = Matrix(1) + Matrix(4); + ac = Matrix(1) * Matrix(4) - Matrix(2) * Matrix(3); + delta = (b) ^ 2 - 4 * ac; + % get delta of quadratic equation + squareRootDelta = sqrt(delta); + % square delta + zeroOne = (b - squareRootDelta) / 2; + zeroTwo = (b + squareRootDelta) / 2; +end +\end{lstlisting} +\end{simplechar} + +\subsubsection{dispResults} +\begin{simplechar} +\begin{lstlisting} +function dispResults(eigenValues, Matrix, whatIterationAreWeOn, eigenFromMatlab, initialMatrix) + disp("Initial matrix: "); + disp(initialMatrix); + disp("Final matrix: "); + disp(Matrix); + disp("Number of iterations: "); + disp(whatIterationAreWeOn); + disp("Eigen values from eig(Matrix):"); + disp(eigenFromMatlab); + disp("Our eigen values: "); + disp(eigenValues); +end +\end{lstlisting} +\end{simplechar} + + \begin{thebibliography}{9} \bibitem{texbook} Piotr Tatjewski (2014) \emph{Numerical Methods}, Oficyna Wydawnicza Politechniki Warszawskiej diff --git a/ENUME/projectA/projectA.toc b/ENUME/projectA/projectA.toc index d70a850e..a9cf8014 100644 --- a/ENUME/projectA/projectA.toc +++ b/ENUME/projectA/projectA.toc @@ -51,33 +51,59 @@ \contentsline {section}{\numberline {4.2}Theoretical introduction}{34}{section.4.2}% \contentsline {subsection}{\numberline {4.2.1}Eigenvalues}{34}{subsection.4.2.1}% \contentsline {subsection}{\numberline {4.2.2}QR method for finding eigenvalues}{34}{subsection.4.2.2}% -\contentsline {section}{\numberline {4.3}Solution}{35}{section.4.3}% -\contentsline {section}{\numberline {4.4}Discussion of the result}{35}{section.4.4}% -\contentsline {chapter}{\numberline {5}Code appendix}{36}{chapter.5}% -\contentsline {section}{\numberline {5.1}Task 2 Code}{36}{section.5.1}% -\contentsline {subsection}{\numberline {5.1.1}Main function}{36}{subsection.5.1.1}% -\contentsline {subsection}{\numberline {5.1.2}checkIfMatrixIsSquareMatrix}{37}{subsection.5.1.2}% -\contentsline {subsection}{\numberline {5.1.3}gaussianEliminationWithPartialPivoting}{38}{subsection.5.1.3}% -\contentsline {subsection}{\numberline {5.1.4}partialPivoting}{38}{subsection.5.1.4}% -\contentsline {subsection}{\numberline {5.1.5}partialPivotingSwapOneRow}{38}{subsection.5.1.5}% -\contentsline {subsection}{\numberline {5.1.6}swapRowMatrix}{39}{subsection.5.1.6}% -\contentsline {subsection}{\numberline {5.1.7}swapValueVector}{39}{subsection.5.1.7}% -\contentsline {subsection}{\numberline {5.1.8}gaussianElimination}{39}{subsection.5.1.8}% -\contentsline {subsection}{\numberline {5.1.9}substractRows}{40}{subsection.5.1.9}% -\contentsline {subsection}{\numberline {5.1.10}backSubstitutionPhase}{41}{subsection.5.1.10}% -\contentsline {subsection}{\numberline {5.1.11}iterativeResidualCorrection}{41}{subsection.5.1.11}% -\contentsline {subsection}{\numberline {5.1.12}improveSolution}{41}{subsection.5.1.12}% -\contentsline {section}{\numberline {5.2}Task 3 code}{42}{section.5.2}% -\contentsline {subsection}{\numberline {5.2.1}initializeValues}{42}{subsection.5.2.1}% -\contentsline {subsection}{\numberline {5.2.2}decomposeMatrix}{43}{subsection.5.2.2}% -\contentsline {subsection}{\numberline {5.2.3}jacobiLoop}{43}{subsection.5.2.3}% -\contentsline {subsection}{\numberline {5.2.4}jacobiInsideLoop}{44}{subsection.5.2.4}% -\contentsline {subsection}{\numberline {5.2.5}jacobiEquation}{44}{subsection.5.2.5}% -\contentsline {subsection}{\numberline {5.2.6}gaussSeidelLoop}{44}{subsection.5.2.6}% -\contentsline {subsection}{\numberline {5.2.7}gaussiInsideLoop}{45}{subsection.5.2.7}% -\contentsline {subsection}{\numberline {5.2.8}gaussSeidelEquation}{45}{subsection.5.2.8}% -\contentsline {subsection}{\numberline {5.2.9}checkError}{45}{subsection.5.2.9}% -\contentsline {subsection}{\numberline {5.2.10}endOfLoop}{46}{subsection.5.2.10}% -\contentsline {subsection}{\numberline {5.2.11}dispFinalResults}{46}{subsection.5.2.11}% -\contentsline {subsection}{\numberline {5.2.12}plotIterations}{47}{subsection.5.2.12}% -\contentsline {subsection}{\numberline {5.2.13}plotIterations}{48}{subsection.5.2.13}% +\contentsline {section}{\numberline {4.3}Results}{35}{section.4.3}% +\contentsline {subsection}{\numberline {4.3.1}Starting matrix}{35}{subsection.4.3.1}% +\contentsline {subsection}{\numberline {4.3.2}QR method with no shifts}{36}{subsection.4.3.2}% +\contentsline {subsection}{\numberline {4.3.3}QR method with shifts}{36}{subsection.4.3.3}% +\contentsline {section}{\numberline {4.4}Discussion of the result}{37}{section.4.4}% +\contentsline {subsection}{\numberline {4.4.1}Plot}{38}{subsection.4.4.1}% +\contentsline {subsection}{\numberline {4.4.2}Shift method superiority}{38}{subsection.4.4.2}% +\contentsline {chapter}{\numberline {5}Code appendix}{40}{chapter.5}% +\contentsline {section}{\numberline {5.1}Task 2 Code}{40}{section.5.1}% +\contentsline {subsection}{\numberline {5.1.1}Main function}{40}{subsection.5.1.1}% +\contentsline {subsection}{\numberline {5.1.2}checkIfMatrixIsSquareMatrix}{41}{subsection.5.1.2}% +\contentsline {subsection}{\numberline {5.1.3}gaussianEliminationWithPartialPivoting}{42}{subsection.5.1.3}% +\contentsline {subsection}{\numberline {5.1.4}partialPivoting}{42}{subsection.5.1.4}% +\contentsline {subsection}{\numberline {5.1.5}partialPivotingSwapOneRow}{42}{subsection.5.1.5}% +\contentsline {subsection}{\numberline {5.1.6}swapRowMatrix}{43}{subsection.5.1.6}% +\contentsline {subsection}{\numberline {5.1.7}swapValueVector}{43}{subsection.5.1.7}% +\contentsline {subsection}{\numberline {5.1.8}gaussianElimination}{43}{subsection.5.1.8}% +\contentsline {subsection}{\numberline {5.1.9}substractRows}{44}{subsection.5.1.9}% +\contentsline {subsection}{\numberline {5.1.10}backSubstitutionPhase}{45}{subsection.5.1.10}% +\contentsline {subsection}{\numberline {5.1.11}iterativeResidualCorrection}{45}{subsection.5.1.11}% +\contentsline {subsection}{\numberline {5.1.12}improveSolution}{45}{subsection.5.1.12}% +\contentsline {section}{\numberline {5.2}Task 3 code}{46}{section.5.2}% +\contentsline {subsection}{\numberline {5.2.1}initializeValues}{46}{subsection.5.2.1}% +\contentsline {subsection}{\numberline {5.2.2}decomposeMatrix}{47}{subsection.5.2.2}% +\contentsline {subsection}{\numberline {5.2.3}jacobiLoop}{47}{subsection.5.2.3}% +\contentsline {subsection}{\numberline {5.2.4}jacobiInsideLoop}{48}{subsection.5.2.4}% +\contentsline {subsection}{\numberline {5.2.5}jacobiEquation}{48}{subsection.5.2.5}% +\contentsline {subsection}{\numberline {5.2.6}gaussSeidelLoop}{48}{subsection.5.2.6}% +\contentsline {subsection}{\numberline {5.2.7}gaussiInsideLoop}{49}{subsection.5.2.7}% +\contentsline {subsection}{\numberline {5.2.8}gaussSeidelEquation}{49}{subsection.5.2.8}% +\contentsline {subsection}{\numberline {5.2.9}checkError}{49}{subsection.5.2.9}% +\contentsline {subsection}{\numberline {5.2.10}endOfLoop}{50}{subsection.5.2.10}% +\contentsline {subsection}{\numberline {5.2.11}dispFinalResults}{50}{subsection.5.2.11}% +\contentsline {subsection}{\numberline {5.2.12}plotIterations}{51}{subsection.5.2.12}% +\contentsline {subsection}{\numberline {5.2.13}plotIterations}{52}{subsection.5.2.13}% +\contentsline {section}{\numberline {5.3}Task 4 Code}{53}{section.5.3}% +\contentsline {subsection}{\numberline {5.3.1}Gram-Schmid algorithm}{53}{subsection.5.3.1}% +\contentsline {subsubsection}{initializeGramSchmid}{53}{section*.22}% +\contentsline {subsubsection}{initializeGramSchmid}{53}{section*.23}% +\contentsline {subsubsection}{initializeGramSchmid}{54}{section*.24}% +\contentsline {subsection}{\numberline {5.3.2}QRNoShifts}{54}{subsection.5.3.2}% +\contentsline {subsubsection}{QRNoShiftsLoop}{55}{section*.25}% +\contentsline {subsubsection}{QRNoShiftsInsideLoop}{55}{section*.26}% +\contentsline {subsubsection}{displayResults}{56}{section*.27}% +\contentsline {subsubsection}{initializeValues}{56}{section*.28}% +\contentsline {subsection}{\numberline {5.3.3}QRShifts}{56}{subsection.5.3.3}% +\contentsline {subsubsection}{initiateValues}{57}{section*.29}% +\contentsline {subsubsection}{QRShiftLoop}{57}{section*.30}% +\contentsline {subsubsection}{findEigenValue}{58}{section*.31}% +\contentsline {subsubsection}{getEigenValueFromCorner}{58}{section*.32}% +\contentsline {subsubsection}{shiftAndIterate}{58}{section*.33}% +\contentsline {subsubsection}{deflateMatrix}{59}{section*.34}% +\contentsline {subsubsection}{thresholdBreached}{59}{section*.35}% +\contentsline {subsubsection}{solveCharactersticEquation}{59}{section*.36}% +\contentsline {subsubsection}{calculateZeros}{60}{section*.37}% +\contentsline {subsubsection}{dispResults}{60}{section*.38}% diff --git a/ENUME/projectA/task4.m b/ENUME/projectA/task4.m new file mode 100644 index 00000000..ac043c07 --- /dev/null +++ b/ENUME/projectA/task4.m @@ -0,0 +1,4 @@ +function [eigenValuesNoShifts, iterationsNoShifts, finalMatrixNoShifts, eigenValuesShifts, iterationsShifts, finalMatrixShifts] = task4(Matrix) + [eigenValuesNoShifts, iterationsNoShifts, finalMatrixNoShifts] = QRNoShifts(Matrix); + [eigenValuesShifts, iterationsShifts, finalMatrixShifts] = QRShifts(Matrix); +end \ No newline at end of file diff --git a/ENUME/projectA/task4Plot.m b/ENUME/projectA/task4Plot.m new file mode 100644 index 00000000..f52398af --- /dev/null +++ b/ENUME/projectA/task4Plot.m @@ -0,0 +1,19 @@ +function task4Plot(maxMatrixSize) + iterationsNoShiftsVector = zeros(maxMatrixSize); + iterationsShiftsVector = zeros(maxMatrixSize); + for i = 1 : maxMatrixSize + [~, iterationsNoShifts, ~, ~, iterationsShifts, ~] = task4(matrix4(i)); + iterationsNoShiftsVector(i) = iterationsNoShifts; + iterationsShiftsVector(i) = iterationsShifts; + end + nexttile + plot(iterationsNoShiftsVector, '.'); + title('Number of iterations for different sizes of matrices for no shift method'); + xlabel('Size of matrix A'); + ylabel('Number of iterations'); + nexttile + plot(iterationsShiftsVector, '.'); + title('Number of iterations for different sizes of matrices for shift method'); + xlabel('Size of matrix A'); + ylabel('Number of iterations'); +end \ No newline at end of file diff --git a/ENUME/projectA/task4plot-eps-converted-to.pdf b/ENUME/projectA/task4plot-eps-converted-to.pdf new file mode 100644 index 00000000..e37e1cf2 Binary files /dev/null and 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293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 345.3696 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 366.71041 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 388.05122 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 409.39199 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 430.7328 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 452.07361 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 473.41442 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 494.75519 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 516.096 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 537.43681 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 558.77762 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 110.6208 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 131.9616 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 153.3024 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 174.6432 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 195.98401 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 217.3248 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 238.66561 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 260.0064 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 281.34721 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 302.688 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 324.02881 293.12001] CT +0.929 0.694 0.125 RC +N 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+[0.72 0 0 0.72 110.6208 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 131.9616 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 153.3024 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 174.6432 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 195.98401 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 217.3248 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 238.66561 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 260.0064 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 281.34721 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 302.688 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 324.02881 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 345.3696 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 366.71041 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 388.05122 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 409.39199 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 430.7328 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 452.07361 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 473.41442 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 494.75519 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 516.096 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 537.43681 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 558.77762 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 110.6208 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 131.9616 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 153.3024 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 174.6432 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 195.98401 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 217.3248 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 238.66561 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 260.0064 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 281.34721 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 302.688 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 324.02881 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 345.3696 293.12001] CT +0.467 0.675 0.188 RC +N 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+[0.72 0 0 0.72 131.9616 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 153.3024 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 174.6432 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 195.98401 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 217.3248 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 238.66561 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 260.0064 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 281.34721 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 302.688 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 324.02881 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 345.3696 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 366.71041 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 388.05122 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 409.39199 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 430.7328 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 452.07361 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 473.41442 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 494.75519 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 516.096 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 537.43681 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 558.77762 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 110.6208 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 131.9616 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 153.3024 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 174.6432 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 195.98401 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 217.3248 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 238.66561 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 260.0064 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 281.34721 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 302.688 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 324.02881 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 345.3696 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 366.71041 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 388.05122 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 409.39199 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 430.7328 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 452.07361 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 473.41442 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 494.75519 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 516.096 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 537.43681 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 558.77762 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 110.6208 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 131.9616 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 153.3024 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 174.6432 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 195.98401 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 217.3248 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 238.66561 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 260.0064 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 281.34721 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 302.688 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 324.02881 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 345.3696 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 366.71041 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 388.05122 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 409.39199 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 430.7328 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 452.07361 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 473.41442 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 494.75519 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 516.096 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 537.43681 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 558.77762 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 110.6208 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 131.9616 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 153.3024 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 174.6432 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 195.98401 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 217.3248 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 238.66561 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 260.0064 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 281.34721 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 302.688 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 324.02881 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 345.3696 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 366.71041 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 388.05122 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 409.39199 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 430.7328 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 452.07361 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 473.41442 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 494.75519 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 516.096 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 537.43681 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 558.77762 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 110.6208 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 131.9616 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 153.3024 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 174.6432 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 195.98401 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 217.3248 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 238.66561 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 260.0064 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 281.34721 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 302.688 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 324.02881 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 345.3696 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 366.71041 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 388.05122 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 409.39199 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 430.7328 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 452.07361 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 473.41442 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 494.75519 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 516.096 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 537.43681 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 558.77762 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 110.6208 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 131.9616 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 153.3024 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 174.6432 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 195.98401 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 217.3248 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 238.66561 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 260.0064 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 281.34721 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 302.688 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 324.02881 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 345.3696 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 366.71041 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 388.05122 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 409.39199 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 430.7328 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 452.07361 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 473.41442 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 494.75519 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 516.096 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 537.43681 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 558.77762 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 110.6208 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 131.9616 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 153.3024 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 174.6432 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 195.98401 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 217.3248 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 238.66561 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 260.0064 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 281.34721 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 302.688 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 324.02881 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 345.3696 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 366.71041 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 388.05122 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 409.39199 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 430.7328 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 452.07361 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 473.41442 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 494.75519 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 516.096 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 537.43681 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 558.77762 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 110.6208 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 131.9616 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 153.3024 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 174.6432 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 195.98401 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 217.3248 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 238.66561 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 260.0064 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 281.34721 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 302.688 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 324.02881 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 345.3696 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 366.71041 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 388.05122 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 409.39199 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 430.7328 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 452.07361 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 473.41442 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 494.75519 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 516.096 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 537.43681 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 558.77762 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 110.6208 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 131.9616 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 153.3024 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 174.6432 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 195.98401 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 217.3248 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 238.66561 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 260.0064 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 281.34721 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 302.688 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 324.02881 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 345.3696 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 366.71041 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 388.05122 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 409.39199 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 430.7328 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 452.07361 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 473.41442 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 494.75519 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 516.096 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 537.43681 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 558.77762 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 110.6208 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 131.9616 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 153.3024 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 174.6432 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 195.98401 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 217.3248 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 238.66561 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 260.0064 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 281.34721 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 302.688 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 324.02881 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 345.3696 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 366.71041 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 388.05122 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 409.39199 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 430.7328 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 452.07361 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 473.41442 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 494.75519 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 516.096 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 537.43681 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 558.77762 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 110.6208 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 131.9616 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 153.3024 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 174.6432 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 195.98401 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 217.3248 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 238.66561 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 260.0064 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 281.34721 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 302.688 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 324.02881 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 345.3696 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 366.71041 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 388.05122 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 409.39199 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 430.7328 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 452.07361 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 473.41442 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 494.75519 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 516.096 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 537.43681 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 558.77762 293.12001] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 110.6208 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 131.9616 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 153.3024 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 174.6432 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 195.98401 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 217.3248 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 238.66561 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 260.0064 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 281.34721 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 302.688 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 324.02881 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 345.3696 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 366.71041 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 388.05122 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 409.39199 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 430.7328 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 452.07361 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 473.41442 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 494.75519 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 516.096 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 537.43681 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 558.77762 293.12001] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 110.6208 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 131.9616 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 153.3024 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 174.6432 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 195.98401 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 217.3248 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 238.66561 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 260.0064 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 281.34721 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 302.688 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 324.02881 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 345.3696 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 366.71041 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 388.05122 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 409.39199 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 430.7328 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 452.07361 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 473.41442 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 494.75519 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 516.096 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 537.43681 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 558.77762 293.12001] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 110.6208 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 131.9616 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 153.3024 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 174.6432 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 195.98401 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 217.3248 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 238.66561 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 260.0064 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 281.34721 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 302.688 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 324.02881 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 345.3696 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 366.71041 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 388.05122 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 409.39199 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 430.7328 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 452.07361 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 473.41442 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 494.75519 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 516.096 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 537.43681 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 558.77762 293.12001] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 110.6208 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 131.9616 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 153.3024 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 174.6432 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 195.98401 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 217.3248 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 238.66561 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 260.0064 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 281.34721 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 302.688 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 324.02881 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 345.3696 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 366.71041 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 388.05122 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 409.39199 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 430.7328 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 452.07361 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 473.41442 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 494.75519 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 516.096 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 537.43681 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 558.77762 293.12001] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 110.6208 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 131.9616 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 153.3024 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 174.6432 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 195.98401 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 217.3248 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 238.66561 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 260.0064 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 281.34721 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 302.688 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 324.02881 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 345.3696 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 366.71041 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 388.05122 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 409.39199 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 430.7328 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 452.07361 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 473.41442 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 494.75519 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 516.096 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 537.43681 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 558.77762 293.12001] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 110.6208 293.12001] CT +0 0.447 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CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 388.05122 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 409.39199 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 430.7328 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 452.07361 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 473.41442 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 494.75519 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 516.096 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 537.43681 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 558.77762 293.12001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 0 0.08002] CT +1 GC +N +124 878 M +865 878 L +865 545 L +124 545 L +cp +f +GR +GS +[0.72 0 0 0.72 0 0.08002] CT +0.149 GC +2 setlinecap +1 LJ +0.694 LW +N +124 878 M +865 878 L +S +GR +GS +[0.72 0 0 0.72 0 0.08002] CT +0.149 GC +2 setlinecap +1 LJ +0.694 LW +N +124 545 M +865 545 L +S +GR +GS +[0.72 0 0 0.72 0 0.08002] CT +0.149 GC +2 setlinecap +1 LJ +0.694 LW +N +124 878 M +124 870.59 L +S +GR +GS +[0.72 0 0 0.72 0 0.08002] CT +0.149 GC +2 setlinecap +1 LJ +0.694 LW +N +272.2 878 M +272.2 870.59 L +S +GR +GS +[0.72 0 0 0.72 0 0.08002] CT +0.149 GC +2 setlinecap +1 LJ +0.694 LW +N +420.4 878 M +420.4 870.59 L +S +GR +GS +[0.72 0 0 0.72 0 0.08002] CT +0.149 GC +2 setlinecap +1 LJ +0.694 LW +N +568.6 878 M +568.6 870.59 L +S +GR +GS +[0.72 0 0 0.72 0 0.08002] CT +0.149 GC +2 setlinecap +1 LJ +0.694 LW +N +716.8 878 M +716.8 870.59 L +S +GR +GS +[0.72 0 0 0.72 0 0.08002] CT +0.149 GC +2 setlinecap +1 LJ +0.694 LW +N +865 878 M +865 870.59 L +S +GR +GS +[0.72 0 0 0.72 0 0.08002] CT +0.149 GC +2 setlinecap +1 LJ +0.694 LW +N +124 545 M +124 552.41 L +S +GR +GS +[0.72 0 0 0.72 0 0.08002] CT +0.149 GC +2 setlinecap +1 LJ +0.694 LW +N +272.2 545 M +272.2 552.41 L 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735.286 M +857.59 735.286 L +S +GR +GS +[0.72 0 0 0.72 0 0.08002] CT +0.149 GC +2 setlinecap +1 LJ +0.694 LW +N +865 687.714 M +857.59 687.714 L +S +GR +GS +[0.72 0 0 0.72 0 0.08002] CT +0.149 GC +2 setlinecap +1 LJ +0.694 LW +N +865 640.143 M +857.59 640.143 L +S +GR +GS +[0.72 0 0 0.72 0 0.08002] CT +0.149 GC +2 setlinecap +1 LJ +0.694 LW +N +865 592.571 M +857.59 592.571 L +S +GR +GS +[0.72 0 0 0.72 0 0.08002] CT +0.149 GC +2 setlinecap +1 LJ +0.694 LW +N +865 545 M +857.59 545 L +S +GR +GS +[0.72 0 0 0.72 85.28 632.24] CT +0.149 GC +/Helvetica 13.889 F +GS +[1 0 0 1 0 0] CT +-9 4.5 moveto +1 -1 scale +(0) t +GR +GR +GS +[0.72 0 0 0.72 85.28 597.98859] CT +0.149 GC +/Helvetica 13.889 F +GS +[1 0 0 1 0 0] CT +-9 4.5 moveto +1 -1 scale +(5) t +GR +GR +GS +[0.72 0 0 0.72 85.28 563.73713] CT +0.149 GC +/Helvetica 13.889 F +GS +[1 0 0 1 0 0] CT +-18 4.5 moveto +1 -1 scale +(10) t +GR +GR +GS +[0.72 0 0 0.72 85.28 529.48571] CT +0.149 GC +/Helvetica 13.889 F +GS +[1 0 0 1 0 0] CT +-18 4.5 moveto +1 -1 scale +(15) t +GR +GR +GS +[0.72 0 0 0.72 85.28 495.2343] CT +0.149 GC +/Helvetica 13.889 F +GS +[1 0 0 1 0 0] CT +-18 4.5 moveto +1 -1 scale +(20) t +GR +GR +GS +[0.72 0 0 0.72 85.28 460.98288] CT +0.149 GC +/Helvetica 13.889 F +GS +[1 0 0 1 0 0] CT +-18 4.5 moveto +1 -1 scale +(25) t +GR +GR +GS +[0.72 0 0 0.72 85.28 426.73142] CT +0.149 GC +/Helvetica 13.889 F +GS +[1 0 0 1 0 0] CT +-18 4.5 moveto +1 -1 scale +(30) t +GR +GR +GS +[0.72 0 0 0.72 85.28 392.48001] CT +0.149 GC +/Helvetica 13.889 F +GS +[1 0 0 1 0 0] CT +-18 4.5 moveto +1 -1 scale +(35) t +GR +GR +GS +[0 -0.72 0.72 0 69.32 512.35987] CT +0.149 GC +/Helvetica 15.278 F +GS +[1 0 0 1 0 0] CT +-79.5 -4 moveto +1 -1 scale +(Number of iterations) t +GR +GR +GS +[0.72 0 0 0.72 356.04036 390.50001] CT +/Helvetica-Bold 15.278 F +GS +[1 0 0 1 0 0] CT +-293.5 -4 moveto +1 -1 scale +(Number of iterations for different sizes of matrices for shift method) t +GR +GR +GS +[0.72 0 0 0.72 110.6208 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 131.9616 625.38972] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 153.3024 591.1383] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 174.6432 597.98859] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 195.98401 563.73713] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 217.3248 529.48571] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 238.66561 536.336] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 260.0064 550.03656] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 281.34721 515.78515] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 302.688 495.2343] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 324.02881 502.08458] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 345.3696 460.98288] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 366.71041 474.68345] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 388.05122 467.83317] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 409.39199 440.43199] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 430.7328 454.1326] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 452.07361 419.88114] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 473.41442 413.03086] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 494.75519 399.33029] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 516.096 406.18057] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 537.43681 392.48001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 558.77762 392.48001] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 110.6208 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 131.9616 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 153.3024 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 174.6432 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 195.98401 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 217.3248 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 238.66561 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 260.0064 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 281.34721 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 302.688 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 324.02881 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 345.3696 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 366.71041 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 388.05122 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 409.39199 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 430.7328 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 452.07361 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 473.41442 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 494.75519 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 516.096 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 537.43681 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 558.77762 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 110.6208 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 131.9616 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 153.3024 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 174.6432 632.24] CT +0.929 0.694 0.125 RC +N 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+0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 452.07361 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 473.41442 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 494.75519 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 516.096 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 537.43681 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 558.77762 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 110.6208 632.24] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 131.9616 632.24] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 153.3024 632.24] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 174.6432 632.24] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 195.98401 632.24] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 217.3248 632.24] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 238.66561 632.24] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 260.0064 632.24] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 281.34721 632.24] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 302.688 632.24] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 324.02881 632.24] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 345.3696 632.24] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 366.71041 632.24] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 388.05122 632.24] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 409.39199 632.24] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 430.7328 632.24] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 452.07361 632.24] CT +0.494 0.184 0.557 RC +N 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+0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 260.0064 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 281.34721 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 302.688 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 324.02881 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 345.3696 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 366.71041 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 388.05122 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 409.39199 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 430.7328 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 452.07361 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 473.41442 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 494.75519 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 516.096 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 537.43681 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 558.77762 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 110.6208 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 131.9616 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 153.3024 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 174.6432 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 195.98401 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 217.3248 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 238.66561 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 260.0064 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 281.34721 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 302.688 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 324.02881 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 345.3696 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 366.71041 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 388.05122 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 409.39199 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 430.7328 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 452.07361 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 473.41442 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 494.75519 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 516.096 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 537.43681 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 558.77762 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 110.6208 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 131.9616 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 153.3024 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 174.6432 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 195.98401 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 217.3248 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 238.66561 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 260.0064 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 281.34721 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 302.688 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 324.02881 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 345.3696 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 366.71041 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 388.05122 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 409.39199 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 430.7328 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 452.07361 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 473.41442 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 494.75519 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 516.096 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 537.43681 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 558.77762 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 110.6208 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 131.9616 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 153.3024 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 174.6432 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 195.98401 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 217.3248 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 238.66561 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 260.0064 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 281.34721 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 302.688 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 324.02881 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 345.3696 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 366.71041 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 388.05122 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 409.39199 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 430.7328 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 452.07361 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 473.41442 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 494.75519 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 516.096 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 537.43681 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 558.77762 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 110.6208 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 131.9616 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 153.3024 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 174.6432 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 195.98401 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 217.3248 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 238.66561 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 260.0064 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 281.34721 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 302.688 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 324.02881 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 345.3696 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 366.71041 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 388.05122 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 409.39199 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 430.7328 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 452.07361 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 473.41442 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 494.75519 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 516.096 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 537.43681 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 558.77762 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 110.6208 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 131.9616 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 153.3024 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 174.6432 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 195.98401 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 217.3248 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 238.66561 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 260.0064 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 281.34721 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 302.688 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 324.02881 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 345.3696 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 366.71041 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 388.05122 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 409.39199 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 430.7328 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 452.07361 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 473.41442 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 494.75519 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 516.096 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 537.43681 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 558.77762 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 110.6208 632.24] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 131.9616 632.24] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 153.3024 632.24] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 174.6432 632.24] CT +0.494 0.184 0.557 RC +N 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+0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 452.07361 632.24] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 473.41442 632.24] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 494.75519 632.24] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 516.096 632.24] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 537.43681 632.24] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 558.77762 632.24] CT +0.494 0.184 0.557 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 110.6208 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 131.9616 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 153.3024 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 174.6432 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 195.98401 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 217.3248 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 238.66561 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 260.0064 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 281.34721 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 302.688 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 324.02881 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 345.3696 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 366.71041 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 388.05122 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 409.39199 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 430.7328 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 452.07361 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 473.41442 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 494.75519 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 516.096 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 537.43681 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 558.77762 632.24] CT +0.467 0.675 0.188 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 110.6208 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 131.9616 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 153.3024 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 174.6432 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 195.98401 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 217.3248 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 238.66561 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 260.0064 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 281.34721 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 302.688 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 324.02881 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 345.3696 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 366.71041 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 388.05122 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 409.39199 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 430.7328 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 452.07361 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 473.41442 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 494.75519 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 516.096 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 537.43681 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 558.77762 632.24] CT +0.302 0.745 0.933 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 110.6208 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 131.9616 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 153.3024 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 174.6432 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 195.98401 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 217.3248 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 238.66561 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 260.0064 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 281.34721 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 302.688 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 324.02881 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 345.3696 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 366.71041 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 388.05122 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 409.39199 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 430.7328 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 452.07361 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 473.41442 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 494.75519 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 516.096 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 537.43681 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 558.77762 632.24] CT +0.635 0.078 0.184 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 110.6208 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 131.9616 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 153.3024 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 174.6432 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 195.98401 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 217.3248 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 238.66561 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 260.0064 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 281.34721 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 302.688 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 324.02881 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 345.3696 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 366.71041 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 388.05122 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 409.39199 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 430.7328 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 452.07361 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 473.41442 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 494.75519 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 516.096 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 537.43681 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 558.77762 632.24] CT +0 0.447 0.741 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 110.6208 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 131.9616 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 153.3024 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 174.6432 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 195.98401 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 217.3248 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 238.66561 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 260.0064 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 281.34721 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 302.688 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 324.02881 632.24] CT +0.851 0.325 0.098 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 345.3696 632.24] CT 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0 0.72 131.9616 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 153.3024 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 174.6432 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 195.98401 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 217.3248 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 238.66561 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 260.0064 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 281.34721 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 302.688 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 324.02881 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 345.3696 632.24] CT +0.929 0.694 0.125 RC +N +f2028132507 +f +GR +GS +[0.72 0 0 0.72 366.71041 632.24] CT +0.929 0.694 0.125 RC +N 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