From bc8b3f26d90ffe3f22e82a897121512a51712874 Mon Sep 17 00:00:00 2001 From: Olle Alvin Date: Fri, 10 Feb 2017 16:00:27 +0100 Subject: [PATCH 01/16] added plotting to readvideotest --- matlab/readvideo.m | 2 +- matlab/test_readvideo.m | 14 +++++++++++--- 2 files changed, 12 insertions(+), 4 deletions(-) diff --git a/matlab/readvideo.m b/matlab/readvideo.m index 61e4436..8c79cb3 100644 --- a/matlab/readvideo.m +++ b/matlab/readvideo.m @@ -115,5 +115,5 @@ error(['Video ended before a value was calculated.\n',... ' Consider reducing value of startFrame.']) end - +angleVec = angleVec'; end diff --git a/matlab/test_readvideo.m b/matlab/test_readvideo.m index d3fdb11..302696b 100644 --- a/matlab/test_readvideo.m +++ b/matlab/test_readvideo.m @@ -5,13 +5,13 @@ % clear all -file = 'PaperHelicopterAnalysisreal/data/helicopter9top.mp4'; % Videos should be in '../data/' +file = '..\..\..\top9.mp4'; % Videos should be in '../data/' %file = 'binarytest.avi' fps = 119; % Camera specific startFrame = 1; %cropx = 300:520; %cropy = 300:980; -%% + plotting = true; % Toggle plotting stop = false; % Toggle whether the script terminates immediately after % an angular frequency is found @@ -20,4 +20,12 @@ [angular_freq, angleVec] = readvideo(file,fps,startFrame,plotting,stop) toc; -fprintf('Highest angular frequency: %f rad/s\n',angular_freq) \ No newline at end of file +fprintf('Highest angular frequency: %f rad/s\n',angular_freq) + +angDiff = angleVec - circshift(angleVec,1); +figure +plot(angleVec) +figure +rotSpeeds = normangle2(angDiff)*119 +plot(rotSpeeds, '*') + From 47d9c82cece9ebd10344474eeea00f03845cab22 Mon Sep 17 00:00:00 2001 From: jastermark Date: Fri, 10 Feb 2017 18:28:46 +0100 Subject: [PATCH 02/16] added top9.mp4 and prototypes.mat in data folder --- data/prototypes.mat | Bin 0 -> 596 bytes data/top9.mp4 | Bin 0 -> 1735111 bytes matlab/prototypes.asv | 15 +++++++++++++++ matlab/prototypes.m | 30 ++++++++++++++++++++++++++++++ matlab/test_readvideo.m | 2 +- 5 files changed, 46 insertions(+), 1 deletion(-) create mode 100644 data/prototypes.mat create mode 100644 data/top9.mp4 create mode 100644 matlab/prototypes.asv create mode 100644 matlab/prototypes.m diff --git a/data/prototypes.mat b/data/prototypes.mat new file mode 100644 index 0000000000000000000000000000000000000000..ebc4cc2068b1495ff44e66d0acecbba1ac9320a9 GIT binary patch literal 596 zcmeZu4DoSvQZUssQ1EpO(M`+DN!3vZ$Vn_o%P-2cQV4Jk_w+L}(NS;n5-`93qo*%Fkevy{6>}aZCnU^ZIFjRV 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z+^^5Kd#0VX2XBetOB84CNtm4!%~ONYtxCuE_MT|qgkAn|{W13bwZ__9B)P6p^Nddq z)G@2}WmbR4(jdVnv%aHvRjiw8sa%JqA!9gjQe@DWC-{`_=cO>p$+R~SdeqB(>%C%+ z<2kw;Xx|*w8Dgri>a>#KdesA~+FtUL%rnIjzd{co8QiYYTXy1>ZGdIf_$a90Pn_4f g4eE2Rj5C)572cqmU7Kx|$g3{Sb*6M8YyziNIGTs!egFUf literal 0 HcmV?d00001 diff --git a/matlab/prototypes.asv b/matlab/prototypes.asv new file mode 100644 index 0000000..943ab7f --- /dev/null +++ b/matlab/prototypes.asv @@ -0,0 +1,15 @@ + +nbr_of_prototypes = 11; + +% Standard +a = 4*ones(nbr_of_prototypes,1); +b = 3.5*ones(nbr_of_prototypes,1); +c = 2*ones(nbr_of_prototypes,1); +d = 3*ones(nbr_of_prototypes,1); +L = 13*ones(nbr_of_prototypes,1); + +% Changes +b(2) = 4.5; % Model 2 +b(3) = 2.5; % Model 3 +a(4) = 5; % Model 4 +a(5) = 3; % Model 5 diff --git a/matlab/prototypes.m b/matlab/prototypes.m new file mode 100644 index 0000000..6de7300 --- /dev/null +++ b/matlab/prototypes.m @@ -0,0 +1,30 @@ + +nbr_of_prototypes = 11; + +% Standard (in cm) +a = 4*ones(nbr_of_prototypes,1); +b = 3.5*ones(nbr_of_prototypes,1); +c = 2*ones(nbr_of_prototypes,1); +d = 3*ones(nbr_of_prototypes,1); +L = 13*ones(nbr_of_prototypes,1); + +% Changes (in cm) +b(2) = 4.5; % Model 2 +b(3) = 2.5; % Model 3 +a(4) = 5; % Model 4 +a(5) = 3; % Model 5 +c(6) = 3; % Model 6 +c(7) = 1; % Model 7 +L(8) = 18; % Model 8 +L(9) = 8; % Model 9 +d(10) = 4; % Model 10 +d(11) = 2; % Model 11 + +% Convert from cm to m +a = a.*1e-2; +b = b.*1e-2; +c = c.*1e-2; +d = d.*1e-2; +L = L.*1e-2; + +Areas = (2*b).*(a+c+L+1); \ No newline at end of file diff --git a/matlab/test_readvideo.m b/matlab/test_readvideo.m index 302696b..98bd225 100644 --- a/matlab/test_readvideo.m +++ b/matlab/test_readvideo.m @@ -5,7 +5,7 @@ % clear all -file = '..\..\..\top9.mp4'; % Videos should be in '../data/' +file = '../data/top9.mp4'; % Videos should be in '../data/' %file = 'binarytest.avi' fps = 119; % Camera specific startFrame = 1; From 28ac26d62f1178bfbf3314c20891c7c3f622d684 Mon Sep 17 00:00:00 2001 From: jastermark Date: Fri, 10 Feb 2017 19:11:44 +0100 Subject: [PATCH 03/16] changed two lines so plotting does not open new windows each time --- matlab/test_readvideo.m | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/matlab/test_readvideo.m b/matlab/test_readvideo.m index 98bd225..6e6dbf9 100644 --- a/matlab/test_readvideo.m +++ b/matlab/test_readvideo.m @@ -23,9 +23,9 @@ fprintf('Highest angular frequency: %f rad/s\n',angular_freq) angDiff = angleVec - circshift(angleVec,1); -figure +figure(2) plot(angleVec) -figure +figure(3) rotSpeeds = normangle2(angDiff)*119 plot(rotSpeeds, '*') From 7e7ac94e32d4f67407e51c579b7c49dcf1ad7a55 Mon Sep 17 00:00:00 2001 From: jastermark Date: Fri, 10 Feb 2017 19:24:09 +0100 Subject: [PATCH 04/16] removed autosave files --- matlab/normangle3.asv | 26 -------------------------- matlab/prototypes.asv | 15 --------------- matlab/test.asv | 32 -------------------------------- 3 files changed, 73 deletions(-) delete mode 100644 matlab/normangle3.asv delete mode 100644 matlab/prototypes.asv delete mode 100644 matlab/test.asv diff --git a/matlab/normangle3.asv b/matlab/normangle3.asv deleted file mode 100644 index 1af6a8b..0000000 --- a/matlab/normangle3.asv +++ /dev/null @@ -1,26 +0,0 @@ -%testing secondMoment with image -im = imread('..\data\testBild.jpg'); -im = rgb2gray(im); -cropIm = im(100:500,1:405); -bIm = cropIm>100; -imagesc(bIm) -colormap(gray) -hold on -img = im2double(bIm); -[H, c] = secondMoment(img); - -[V E] = eig(H) - -[vals, ind] = max(max(E)) - -ev = V(:,ind) - -angle = atan(ev(2)/ev(1)) - -grads = angle *180/pi - -p1 = c -p2 = c + ev*100 -p3 = c + ev*200 -line([p1(1), p2(1)] [], 'b') - diff --git a/matlab/prototypes.asv b/matlab/prototypes.asv deleted file mode 100644 index 943ab7f..0000000 --- a/matlab/prototypes.asv +++ /dev/null @@ -1,15 +0,0 @@ - -nbr_of_prototypes = 11; - -% Standard -a = 4*ones(nbr_of_prototypes,1); -b = 3.5*ones(nbr_of_prototypes,1); -c = 2*ones(nbr_of_prototypes,1); -d = 3*ones(nbr_of_prototypes,1); -L = 13*ones(nbr_of_prototypes,1); - -% Changes -b(2) = 4.5; % Model 2 -b(3) = 2.5; % Model 3 -a(4) = 5; % Model 4 -a(5) = 3; % Model 5 diff --git a/matlab/test.asv b/matlab/test.asv deleted file mode 100644 index 6988958..0000000 --- a/matlab/test.asv +++ /dev/null @@ -1,32 +0,0 @@ -function test(img) = H - -%centre of mass -img = [1 2 0; 3 4 0] -m0=zeros(2,1); -s = size(img); -for i=1:s(1) - for j=1:s(2) - m0 - [i;j] - m0 = m0 +[i;j]*img(i,j); - end -end -m1 =m0 - -m0 = sum(sum(img)) - -c = m1/m0 - -%second moment -A= [] - -for i=1:s(1) - for j=1:s(2) - [(i-c(1))^2 (j-c(2))] - end -end - - - - - From 46a5b411cfafce498657eb0c8c31ed31dcda7bd0 Mon Sep 17 00:00:00 2001 From: jastermark Date: Sat, 11 Feb 2017 15:51:21 +0100 Subject: [PATCH 05/16] Made a new file readvideo2.m, and a corresponding test script, which calculates angular frequency using averaging. --- matlab/readvideo2.m | 151 +++++++++++++++++++++++++++++++++++++++ matlab/test_readvideo2.m | 31 ++++++++ 2 files changed, 182 insertions(+) create mode 100644 matlab/readvideo2.m create mode 100644 matlab/test_readvideo2.m diff --git a/matlab/readvideo2.m b/matlab/readvideo2.m new file mode 100644 index 0000000..caf7f14 --- /dev/null +++ b/matlab/readvideo2.m @@ -0,0 +1,151 @@ +function [angularFreq,stdAngFreq,relAngles] ... + = readvideo2(file,fps,startFrame,endFrame,plotting,... + cropx,cropy) +%READVIDEO reads video of paper helicopter and calculates rotation +% This version calculates angular frequency as the mean value betweeen +% startFrame and endFrame +% +% INPUT +% file (string) : Name and path to video file +% fps (integer) : Number of frames per second in video +% startFrame (integer) : Cuts all frames up to this number +% (Set '1' to start on the first frame) +% endFrame (integer) : Cuts all frames after this number +% (Set 'inf' to go through all frames) +% plotting (true/false) : Enable/disable plotting feature +% ------------ The following input arguments are optional --------------- +% cropx (double array) : Cropping of the video, given on the format +% [firstpixel:lastpixel] +% cropy (double array) : Cropping of the video, given on the format +% [firstpixel:lastpixel] +% +% OUTPUT +% angular_freq : Calculated value of angular frequency +% +% Created 2017-02-03 by +% Olle Alvin, Jonathan Astermark, Julia H. Fovaeus, John Hellborg + +if nargin == 5 + cropping = false; +elseif nargin == 7 + cropping = true; +else + error('Invalid number of input arguments in readvideo') +end + +% Read video file +v = VideoReader(file); +ctr = 1; + +% Discard all frames up to 'startFrame' +fprintf('Discarding first %d frames.\n',startFrame-1) +while hasFrame(v) && ctr < startFrame + readFrame(v); + ctr = ctr+1; +end + +% If plotting is enabled, prepare figure +if plotting + figure(1) + clf +end + +% If possible, preallocate the array 'relAngles' +if isfinite(endFrame) + relAngles = zeros(endFrame-startFrame+1); +end + +timePerFrame = 1/fps; +while hasFrame(v) && ctr <= endFrame + frame = readFrame(v); + if cropping + frame = frame(cropx,cropy,:); + end + frame = rgb2gray(frame); + T = (frame>180); + [angle,c,vec] = angleCalc(T); + + % Save angle on first frame, otherwise calculate relative angle + if ctr == startFrame + startAngle = angle; + relAngle = 0; + time = 0; + else + relAngle = angle-startAngle; + end + % Half period completed when the relative angle crosses zero, but not + % by a fold-around +% if ((relAngle > 0 && relAnglePrev < 0) ... +% || (relAngle < 0 && relAnglePrev > 0)) ... +% && abs(relAngle - relAnglePrev) < pi/4 ... % fold-around +% % Alternative: add && ~found to only look for first value +% % ctr +% +% % Start new measurement +% startAngle = angle; +% relAngle = 0; +% end + if plotting +% imshow(grayimg) +% imagesc(grayimg) + figure(1) + colormap(gray) + imagesc(T) + %%%%%%%%%%% + hold on + p1 = c; + p2 = c + vec*100; + p3 = c + vec*(-100); + plot(p1(1),p1(2), '*r') + line([p1(1) p2(1)], [p1(2) p2(2)]) + line([p1(1) p3(1)], [p1(2) p3(2)]) + %%%%%%%% + title(['frame: ',num2str(ctr), ', t = ',... + num2str(time),' s, relAngle: ',num2str(relAngle)]) + pause(0.01) + end + relAngles(ctr-startFrame+1) = relAngle; +% angleVec(ctr) = angle; + time = time + timePerFrame; +% timeSinceReset = timeSinceReset + timePerFrame; + ctr = ctr+1; +end + +angFreqs = normangle2(diff(relAngles))/timePerFrame; + +if plotting + figure(2) + clf + plot(relAngles) + title('Sampled angle per frame, relative starting angle') + ylabel('Angle relative start poistion [rad]') +end +figure(3) +clf +plot(angFreqs,'*') +title('Angular frequency per frame') +ylabel('Angular frequency [rad/s]') + +% Let the user pick the interval in which to calculate mean +fprintf(['Set starting point for mean calculation by clicking in the ',... + 'plot.\n']) +[startMean,~] = ginput(1); +startMean = round(startMean); +line([startMean startMean],ylim,'Color','k') +endMean = -Inf; +fprintf('Set end point for mean calculation by clicking in the plot.\n') +while endMean < startMean + [endMean,~] = ginput(1); + endMean = round(endMean); +end +line([endMean endMean],ylim,'Color','k') + +fprintf('Averaging over %d frames.\n',endMean-startMean+1) +angularFreq = mean(angFreqs(startMean:endMean)); +stdAngFreq = std(angFreqs(startMean:endMean)); + +if ~isfinite(angularFreq) + error('No finite angular frequency could be calculated.') +end + +end diff --git a/matlab/test_readvideo2.m b/matlab/test_readvideo2.m new file mode 100644 index 0000000..9fd389a --- /dev/null +++ b/matlab/test_readvideo2.m @@ -0,0 +1,31 @@ +% Testing script for readvideo2.m +% Created 2017-02-11 +% + +clear all + +file = '../data/top9.mp4'; % Videos should be in '../data/' + +fps = 119; % Camera specific +startFrame = 1; +endFrame = Inf; +%cropx = 300:520; % optional cropping +%cropy = 300:980; % optional cropping + +plotting = true; % Toggle plotting true/false +% pauseTime = 0.05; % Set how many seconds to display each frame + +[angular_freq,std,angleVec]=readvideo2(file,fps,startFrame,endFrame,... + plotting); + +fprintf('Average angular frequency: %f rad/s\n',angular_freq) +fprintf('Standard deviation: %f rad/s\n',std) + +% angleVec = angleVec.'; +% angDiff = angleVec - circshift(angleVec,1); +% figure(2) +% plot(angleVec) +% figure(3) +% rotSpeeds = normangle2(angDiff)*119; +% plot(rotSpeeds, '*') + From e93892b4cf8a6809e72d938f54c08859782a4361 Mon Sep 17 00:00:00 2001 From: Jonathan Astermark Date: Mon, 13 Feb 2017 14:56:45 +0100 Subject: [PATCH 06/16] added a script for automatically evaluating all the movies of the 11 prototypes --- .gitignore | 360 +++++++++++++++++------------------ LICENSE | 42 ++-- matlab/angleCalc.m | 28 +-- matlab/angular_freqs.mat | Bin 0 -> 273 bytes matlab/evaluate_prototypes.m | 23 +++ matlab/findBiggestComp.m | 26 +-- matlab/main.m | 332 ++++++++++++++++---------------- matlab/newSecondmoment.m | 32 ++-- matlab/normangle2.m | 12 +- matlab/prototypes.m | 58 +++--- matlab/readvideo.m | 238 +++++++++++------------ matlab/readvideo.m~ | 238 +++++++++++------------ matlab/readvideo2.m | 302 ++++++++++++++--------------- matlab/secondMoment.m | 44 ++--- matlab/test_readvideo.m | 62 +++--- matlab/test_readvideo.m~ | 44 ++--- matlab/test_readvideo2.m | 62 +++--- secondmoment.m | 60 +++--- tex/main.tex | 2 +- 19 files changed, 994 insertions(+), 971 deletions(-) create mode 100644 matlab/angular_freqs.mat create mode 100644 matlab/evaluate_prototypes.m diff --git a/.gitignore b/.gitignore index 4123a57..834bb76 100644 --- a/.gitignore +++ b/.gitignore @@ -1,180 +1,180 @@ -## Core latex/pdflatex auxiliary files: -*.aux -*.lof -*.log -*.lot -*.fls -*.out -*.toc -*.fmt -*.fot -*.cb -*.cb2 - -## Intermediate documents: -*.dvi -*-converted-to.* -# these rules might exclude image files for figures etc. -# *.ps -# *.eps -# *.pdf - -## Bibliography auxiliary files (bibtex/biblatex/biber): -*.bbl -*.bcf -*.blg -*-blx.aux -*-blx.bib -*.brf -*.run.xml - -## Build tool auxiliary files: -*.fdb_latexmk -*.synctex -*.synctex.gz -*.synctex.gz(busy) -*.pdfsync - -## Auxiliary and intermediate files from other packages: -# algorithms -*.alg -*.loa - -# achemso -acs-*.bib - -# amsthm -*.thm - -# beamer -*.nav -*.snm -*.vrb - -# cprotect -*.cpt - -# fixme -*.lox - -#(r)(e)ledmac/(r)(e)ledpar -*.end -*.?end -*.[1-9] -*.[1-9][0-9] -*.[1-9][0-9][0-9] -*.[1-9]R -*.[1-9][0-9]R -*.[1-9][0-9][0-9]R -*.eledsec[1-9] -*.eledsec[1-9]R -*.eledsec[1-9][0-9] -*.eledsec[1-9][0-9]R -*.eledsec[1-9][0-9][0-9] -*.eledsec[1-9][0-9][0-9]R - -# glossaries -*.acn -*.acr -*.glg -*.glo -*.gls -*.glsdefs - -# gnuplottex -*-gnuplottex-* - -# hyperref -*.brf - -# knitr -*-concordance.tex -# TODO Comment the next line if you want to keep your tikz graphics files -*.tikz -*-tikzDictionary - -# listings -*.lol - -# makeidx -*.idx -*.ilg -*.ind -*.ist - -# minitoc -*.maf -*.mlf -*.mlt -*.mtc -*.mtc[0-9] -*.mtc[1-9][0-9] - -# minted -_minted* -*.pyg - -# morewrites -*.mw - -# mylatexformat -*.fmt - -# nomencl -*.nlo - -# sagetex -*.sagetex.sage -*.sagetex.py -*.sagetex.scmd - -# sympy -*.sout -*.sympy -sympy-plots-for-*.tex/ - -# pdfcomment -*.upa -*.upb - -# pythontex -*.pytxcode -pythontex-files-*/ - -# thmtools -*.loe - -# TikZ & PGF -*.dpth -*.md5 -*.auxlock - -# todonotes -*.tdo - -# xindy -*.xdy - -# xypic precompiled matrices -*.xyc - -# endfloat -*.ttt -*.fff - -# Latexian -TSWLatexianTemp* - -## Editors: -# WinEdt -*.bak -*.sav - -# Texpad -.texpadtmp - -# Kile -*.backup - -# KBibTeX -*~[0-9]* +## Core latex/pdflatex auxiliary files: +*.aux +*.lof +*.log +*.lot +*.fls +*.out +*.toc +*.fmt +*.fot +*.cb +*.cb2 + +## Intermediate documents: +*.dvi +*-converted-to.* +# these rules might exclude image files for figures etc. +# *.ps +# *.eps +# *.pdf + +## Bibliography auxiliary files (bibtex/biblatex/biber): +*.bbl +*.bcf +*.blg +*-blx.aux +*-blx.bib +*.brf +*.run.xml + +## Build tool auxiliary files: +*.fdb_latexmk +*.synctex +*.synctex.gz +*.synctex.gz(busy) +*.pdfsync + +## Auxiliary and intermediate files from other packages: +# algorithms +*.alg +*.loa + +# achemso +acs-*.bib + +# amsthm +*.thm + +# beamer +*.nav +*.snm +*.vrb + +# cprotect +*.cpt + +# fixme +*.lox + +#(r)(e)ledmac/(r)(e)ledpar +*.end +*.?end +*.[1-9] +*.[1-9][0-9] +*.[1-9][0-9][0-9] +*.[1-9]R +*.[1-9][0-9]R +*.[1-9][0-9][0-9]R +*.eledsec[1-9] +*.eledsec[1-9]R +*.eledsec[1-9][0-9] +*.eledsec[1-9][0-9]R +*.eledsec[1-9][0-9][0-9] +*.eledsec[1-9][0-9][0-9]R + +# glossaries +*.acn +*.acr +*.glg +*.glo +*.gls +*.glsdefs + +# gnuplottex +*-gnuplottex-* + +# hyperref +*.brf + +# knitr +*-concordance.tex +# TODO Comment the next line if you want to keep your tikz graphics files +*.tikz +*-tikzDictionary + +# listings +*.lol + +# makeidx +*.idx +*.ilg +*.ind +*.ist + +# minitoc +*.maf +*.mlf +*.mlt +*.mtc +*.mtc[0-9] +*.mtc[1-9][0-9] + +# minted +_minted* +*.pyg + +# morewrites +*.mw + +# mylatexformat +*.fmt + +# nomencl +*.nlo + +# sagetex +*.sagetex.sage +*.sagetex.py +*.sagetex.scmd + +# sympy +*.sout +*.sympy +sympy-plots-for-*.tex/ + +# pdfcomment +*.upa +*.upb + +# pythontex +*.pytxcode +pythontex-files-*/ + +# thmtools +*.loe + +# TikZ & PGF +*.dpth +*.md5 +*.auxlock + +# todonotes +*.tdo + +# xindy +*.xdy + +# xypic precompiled matrices +*.xyc + +# endfloat +*.ttt +*.fff + +# Latexian +TSWLatexianTemp* + +## Editors: +# WinEdt +*.bak +*.sav + +# Texpad +.texpadtmp + +# Kile +*.backup + +# KBibTeX +*~[0-9]* diff --git a/LICENSE b/LICENSE index 130f909..47e85c8 100644 --- a/LICENSE +++ b/LICENSE @@ -1,21 +1,21 @@ -MIT License - -Copyright (c) 2017 Kalle Ã…ström - -Permission is hereby granted, free of charge, to any person obtaining a copy -of this software and associated documentation files (the "Software"), to deal -in the Software without restriction, including without limitation the rights -to use, copy, modify, merge, publish, distribute, sublicense, and/or sell -copies of the Software, and to permit persons to whom the Software is -furnished to do so, subject to the following conditions: - -The above copyright notice and this permission notice shall be included in all -copies or substantial portions of the Software. - -THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR -IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, -FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE -AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER -LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, -OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE -SOFTWARE. +MIT License + +Copyright (c) 2017 Kalle Ã…ström + +Permission is hereby granted, free of charge, to any person obtaining a copy +of this software and associated documentation files (the "Software"), to deal +in the Software without restriction, including without limitation the rights +to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +copies of the Software, and to permit persons to whom the Software is +furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in all +copies or substantial portions of the Software. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +SOFTWARE. diff --git a/matlab/angleCalc.m b/matlab/angleCalc.m index 0c020c6..23e30d5 100644 --- a/matlab/angleCalc.m +++ b/matlab/angleCalc.m @@ -1,14 +1,14 @@ -function [a,c,direction] = angleCalc(im) -%Takes a grayscale image and returns the angle of the eigen vector -%corresponding to the largest eigen value to the second moment matrix. - -img = im2double(im); -[H,c] = newSecondmoment(img); -[V E] = eig(H); -[vals ind] = max(max(E)); -ev = V(:,ind); -angle = atan(ev(2)/ev(1)); -a=angle;% a=normangle2(angle); -direction = ev; - -end +function [a,c,direction] = angleCalc(im) +%Takes a grayscale image and returns the angle of the eigen vector +%corresponding to the largest eigen value to the second moment matrix. + +img = im2double(im); +[H,c] = newSecondmoment(img); +[V E] = eig(H); +[vals ind] = max(max(E)); +ev = V(:,ind); +angle = atan(ev(2)/ev(1)); +a=angle;% a=normangle2(angle); +direction = ev; + +end diff --git a/matlab/angular_freqs.mat b/matlab/angular_freqs.mat new file mode 100644 index 0000000000000000000000000000000000000000..15c3f813773e63e2685724f18427f59767408b14 GIT binary patch literal 273 zcmeZu4DoSvQZUssQ1EpO(M`+DN!3vZ$Vn_o%P-2cQgHY2i*PhE(NSV(01`w31{h%U^yLS#JAt@j&g0~Sgc*!SavaVu zE_G}WJ(bRql&5i)`ABEw%cYi`t{*d9SGFpY&T)`oJQ8zEj=e6fq-Noub1&pQ`_8>rrs!-pf5EjKmJAHqvT9`jqmy7D literal 0 HcmV?d00001 diff --git a/matlab/evaluate_prototypes.m b/matlab/evaluate_prototypes.m new file mode 100644 index 0000000..5d7d259 --- /dev/null +++ b/matlab/evaluate_prototypes.m @@ -0,0 +1,23 @@ +% Evaluates videos of prototypes. +% Files must be called 'top1.mp4', 'top2.mp4' etc. +video_folder = '../../Filmer/Prototypes/'; + +% Load geometry +load('../data/prototypes.mat') + +% Calculate +fps = 119; % Camera specific +startFrame = 1; +endFrame = Inf; +plotting = true; % Toggle plotting true/false + +angular_freq = zeros(1,11); +freq_std = zeros(1,11); +for i=1:11 + if i~=6 % file 6 does not exist right now + file = [video_folder, 'top', num2str(i), '.mp4']; + [angular_freq(i),freq_std(i),~] = readvideo2(file,fps,startFrame,... + endFrame,plotting); + end +end + diff --git a/matlab/findBiggestComp.m b/matlab/findBiggestComp.m index 01d66d8..29a46f7 100644 --- a/matlab/findBiggestComp.m +++ b/matlab/findBiggestComp.m @@ -1,14 +1,14 @@ -function idxList = findBiggestComp(BW) -%Takes a binary image and returns the biggest component of that image. - -CC = bwconncomp(BW) - -numPixels = cellfun(@numel, CC.PixelIdxList); %getting the areas -[biggest,idx] = max(numPixels); %finding the biggest object - -idxList = CC.PixelIdxList{idx}; - -%bIm(idxList) = 0.5; %making the object gray. This is an -%example of how to access the component. - +function idxList = findBiggestComp(BW) +%Takes a binary image and returns the biggest component of that image. + +CC = bwconncomp(BW) + +numPixels = cellfun(@numel, CC.PixelIdxList); %getting the areas +[biggest,idx] = max(numPixels); %finding the biggest object + +idxList = CC.PixelIdxList{idx}; + +%bIm(idxList) = 0.5; %making the object gray. This is an +%example of how to access the component. + end \ No newline at end of file diff --git a/matlab/main.m b/matlab/main.m index b2c0caf..128b604 100644 --- a/matlab/main.m +++ b/matlab/main.m @@ -1,166 +1,166 @@ -%% - -addpath ../data - -%mov = aviread('../data/data1.mov'); - - -vidObj = VideoReader('../data/data1.mov'); - -% Specify that reading should start at 0.5 seconds from the -% beginning. -vidObj.CurrentTime = 0.5; - -% Create an axes -figure(1); clf; -currAxes = axes; -kk = 0; -% Read video frames until available -vs=zeros(2,10); -while hasFrame(vidObj) - kk = kk+1; - imc = readFrame(vidObj); - im = rgb2gray(imc); - - im = double(im)/256; - - - %% Threshold - imt = (im>0.7); - %imt = (im>0.8); - - %% - %figure(2); - %imagesc(imt); - - %% - tmp = bwlabel(imt); - - %% Keep only the largest segment; - siz = zeros(1,max(tmp(:))); - if max(tmp(:))>1, - %disp('Keep only largest segment'); - for k = 1:max(tmp(:)); - siz(k)=sum(sum(tmp==k)); - end - end - [maxv,maxi]=max(siz); - - imm = tmp==maxi; - % - %figure(3); - %imagesc(imm); - - %% - [m,n]=size(imm); - [xx,yy]=meshgrid(1:n,1:m); - ee = ones(size(xx)); - m0 = sum(sum( ee.*imm )); - m1 = [sum(sum( xx.*imm )); sum(sum( yy.*imm ))]; - cc = m1/m0; - xxc = xx-cc(1); - yyc = yy-cc(2); - m2 = [sum(sum( ((xxc.^2).*imm ))) sum(sum( (xxc.*yyc).*imm ));sum(sum( (xxc.*yyc).*imm )) sum(sum( (yyc.*yyc).*imm ))]; - [vv,dd]=eig(m2); - [maxv,maxi]=max(diag(dd)); - - vs(:,kk) = vv(:,maxi); - ms(:,kk) = cc; - stats(kk) = regionprops(imm); - - - - - - - figure(1); - clf; - colormap(gray); - imagesc(imm); - title(num2str(kk)); - pause(0.1); -end - - -as = atan2(vs(2,:),vs(1,:)) -figure -plot(normangle2(as),'.') - -tmp = normangle2(as); -dtmp = normangle2(diff(tmp)); - -figure; -clf; -subplot(2,1,1); -plot(tmp,'.'); -subplot(2,1,2); -plot(dtmp,'.'); - -% -% %% -% imc = readFrame(vidObj); -% im = rgb2gray(imc); -% im = double(im)/256; -% -% %% -% figure(1); -% clf; -% imagesc(im); -% -% %% -% imt = (im>0.5); -% -% %% -% figure(2); -% imagesc(imt); -% -% imt = (im>0.8); -% -% %% -% figure(2); -% imagesc(imt); -% -% %% -% tmp = bwlabel(imt); -% -% %% Keep only the largest segment; -% if max(tmp(:))>1, -% disp('Keep only largest segment'); -% end -% -% imm = tmp==1; -% -% -% figure(3); -% imagesc(imm); -% -% %% -% [m,n]=size(imm); -% [xx,yy]=meshgrid(1:n,1:m); -% ee = ones(size(xx)); -% -% m0 = sum(sum( ee.*imm )); -% m1 = [sum(sum( xx.*imm )); sum(sum( yy.*imm ))]; -% cc = m1/m0; -% xxc = xx-cc(1); -% yyc = yy-cc(2); -% m2 = [sum(sum( ((xxc.^2).*imm ))) sum(sum( (xxc.*yyc).*imm ));sum(sum( (xxc.*yyc).*imm )) sum(sum( (yyc.*yyc).*imm ))]; -% -% [dd,vv]=eig(m2); -% -% stats = regionprops(imm) -% -% -% %% -% -% -% % Read video frames until available -% while hasFrame(vidObj) -% vidFrame = readFrame(vidObj); -% im = rgb2gray(im); -% -% image(vidFrame, 'Parent', currAxes); -% currAxes.Visible = 'off'; -% pause(1/vidObj.FrameRate); -% end -% +%% + +addpath ../data + +%mov = aviread('../data/data1.mov'); + + +vidObj = VideoReader('../data/data1.mov'); + +% Specify that reading should start at 0.5 seconds from the +% beginning. +vidObj.CurrentTime = 0.5; + +% Create an axes +figure(1); clf; +currAxes = axes; +kk = 0; +% Read video frames until available +vs=zeros(2,10); +while hasFrame(vidObj) + kk = kk+1; + imc = readFrame(vidObj); + im = rgb2gray(imc); + + im = double(im)/256; + + + %% Threshold + imt = (im>0.7); + %imt = (im>0.8); + + %% + %figure(2); + %imagesc(imt); + + %% + tmp = bwlabel(imt); + + %% Keep only the largest segment; + siz = zeros(1,max(tmp(:))); + if max(tmp(:))>1, + %disp('Keep only largest segment'); + for k = 1:max(tmp(:)); + siz(k)=sum(sum(tmp==k)); + end + end + [maxv,maxi]=max(siz); + + imm = tmp==maxi; + % + %figure(3); + %imagesc(imm); + + %% + [m,n]=size(imm); + [xx,yy]=meshgrid(1:n,1:m); + ee = ones(size(xx)); + m0 = sum(sum( ee.*imm )); + m1 = [sum(sum( xx.*imm )); sum(sum( yy.*imm ))]; + cc = m1/m0; + xxc = xx-cc(1); + yyc = yy-cc(2); + m2 = [sum(sum( ((xxc.^2).*imm ))) sum(sum( (xxc.*yyc).*imm ));sum(sum( (xxc.*yyc).*imm )) sum(sum( (yyc.*yyc).*imm ))]; + [vv,dd]=eig(m2); + [maxv,maxi]=max(diag(dd)); + + vs(:,kk) = vv(:,maxi); + ms(:,kk) = cc; + stats(kk) = regionprops(imm); + + + + + + + figure(1); + clf; + colormap(gray); + imagesc(imm); + title(num2str(kk)); + pause(0.1); +end + + +as = atan2(vs(2,:),vs(1,:)) +figure +plot(normangle2(as),'.') + +tmp = normangle2(as); +dtmp = normangle2(diff(tmp)); + +figure; +clf; +subplot(2,1,1); +plot(tmp,'.'); +subplot(2,1,2); +plot(dtmp,'.'); + +% +% %% +% imc = readFrame(vidObj); +% im = rgb2gray(imc); +% im = double(im)/256; +% +% %% +% figure(1); +% clf; +% imagesc(im); +% +% %% +% imt = (im>0.5); +% +% %% +% figure(2); +% imagesc(imt); +% +% imt = (im>0.8); +% +% %% +% figure(2); +% imagesc(imt); +% +% %% +% tmp = bwlabel(imt); +% +% %% Keep only the largest segment; +% if max(tmp(:))>1, +% disp('Keep only largest segment'); +% end +% +% imm = tmp==1; +% +% +% figure(3); +% imagesc(imm); +% +% %% +% [m,n]=size(imm); +% [xx,yy]=meshgrid(1:n,1:m); +% ee = ones(size(xx)); +% +% m0 = sum(sum( ee.*imm )); +% m1 = [sum(sum( xx.*imm )); sum(sum( yy.*imm ))]; +% cc = m1/m0; +% xxc = xx-cc(1); +% yyc = yy-cc(2); +% m2 = [sum(sum( ((xxc.^2).*imm ))) sum(sum( (xxc.*yyc).*imm ));sum(sum( (xxc.*yyc).*imm )) sum(sum( (yyc.*yyc).*imm ))]; +% +% [dd,vv]=eig(m2); +% +% stats = regionprops(imm) +% +% +% %% +% +% +% % Read video frames until available +% while hasFrame(vidObj) +% vidFrame = readFrame(vidObj); +% im = rgb2gray(im); +% +% image(vidFrame, 'Parent', currAxes); +% currAxes.Visible = 'off'; +% pause(1/vidObj.FrameRate); +% end +% diff --git a/matlab/newSecondmoment.m b/matlab/newSecondmoment.m index c6dfb1a..4e30e37 100644 --- a/matlab/newSecondmoment.m +++ b/matlab/newSecondmoment.m @@ -1,17 +1,17 @@ -function [m2, m1] = newSecondMoment(img) - - -s = size(img); -xx = ones(s(1),1)*(1:s(2)); -yy = ones(s(2),1)*(1:s(1)); - -m1 = zeros(2,1); -m1(1,1) = sum(sum(xx.*img))/sum(sum(img)); -m1(2,1) = sum(sum(yy'.*img))/sum(sum(img)); - -m2 = zeros(2,2); -m2(1,1) = sum(sum((xx-m1(1,1)).^2.*img)); -m2(1,2) = sum(sum((xx-m1(1,1)).*(yy'-m1(2,1)).*img)); -m2(2,1) = m2(1,2); -m2(2,2) = sum(sum((yy'-m1(2,1)).^2.*img)); +function [m2, m1] = newSecondMoment(img) + + +s = size(img); +xx = ones(s(1),1)*(1:s(2)); +yy = ones(s(2),1)*(1:s(1)); + +m1 = zeros(2,1); +m1(1,1) = sum(sum(xx.*img))/sum(sum(img)); +m1(2,1) = sum(sum(yy'.*img))/sum(sum(img)); + +m2 = zeros(2,2); +m2(1,1) = sum(sum((xx-m1(1,1)).^2.*img)); +m2(1,2) = sum(sum((xx-m1(1,1)).*(yy'-m1(2,1)).*img)); +m2(2,1) = m2(1,2); +m2(2,2) = sum(sum((yy'-m1(2,1)).^2.*img)); end \ No newline at end of file diff --git a/matlab/normangle2.m b/matlab/normangle2.m index 0f439bc..23029fc 100644 --- a/matlab/normangle2.m +++ b/matlab/normangle2.m @@ -1,6 +1,6 @@ -function n=normangle2(angle) -% n=normangle2(angle) -% calculates angle modolu pi. -% normalizes angle in the interval [-pi/2,pi/2]. - -n = rem(angle+8*pi+pi/2,pi)-pi/2; +function n=normangle2(angle) +% n=normangle2(angle) +% calculates angle modolu pi. +% normalizes angle in the interval [-pi/2,pi/2]. + +n = rem(angle+8*pi+pi/2,pi)-pi/2; diff --git a/matlab/prototypes.m b/matlab/prototypes.m index 6de7300..8b45446 100644 --- a/matlab/prototypes.m +++ b/matlab/prototypes.m @@ -1,30 +1,30 @@ - -nbr_of_prototypes = 11; - -% Standard (in cm) -a = 4*ones(nbr_of_prototypes,1); -b = 3.5*ones(nbr_of_prototypes,1); -c = 2*ones(nbr_of_prototypes,1); -d = 3*ones(nbr_of_prototypes,1); -L = 13*ones(nbr_of_prototypes,1); - -% Changes (in cm) -b(2) = 4.5; % Model 2 -b(3) = 2.5; % Model 3 -a(4) = 5; % Model 4 -a(5) = 3; % Model 5 -c(6) = 3; % Model 6 -c(7) = 1; % Model 7 -L(8) = 18; % Model 8 -L(9) = 8; % Model 9 -d(10) = 4; % Model 10 -d(11) = 2; % Model 11 - -% Convert from cm to m -a = a.*1e-2; -b = b.*1e-2; -c = c.*1e-2; -d = d.*1e-2; -L = L.*1e-2; - + +nbr_of_prototypes = 11; + +% Standard (in cm) +a = 4*ones(nbr_of_prototypes,1); +b = 3.5*ones(nbr_of_prototypes,1); +c = 2*ones(nbr_of_prototypes,1); +d = 3*ones(nbr_of_prototypes,1); +L = 13*ones(nbr_of_prototypes,1); + +% Changes (in cm) +b(2) = 4.5; % Model 2 +b(3) = 2.5; % Model 3 +a(4) = 5; % Model 4 +a(5) = 3; % Model 5 +c(6) = 3; % Model 6 +c(7) = 1; % Model 7 +L(8) = 18; % Model 8 +L(9) = 8; % Model 9 +d(10) = 4; % Model 10 +d(11) = 2; % Model 11 + +% Convert from cm to m +a = a.*1e-2; +b = b.*1e-2; +c = c.*1e-2; +d = d.*1e-2; +L = L.*1e-2; + Areas = (2*b).*(a+c+L+1); \ No newline at end of file diff --git a/matlab/readvideo.m b/matlab/readvideo.m index 8c79cb3..6e6d57f 100644 --- a/matlab/readvideo.m +++ b/matlab/readvideo.m @@ -1,119 +1,119 @@ -function [angularFreq, angleVec] = readvideo(file,fps,startFrame,plotting,stop,... - cropx,cropy) -%READVIDEO reads video of paper helicopter and calculates rotation -% -% INPUT -% file (string) : Name and path to video file -% fps (integer) : Number of frames per second in video -% startFrame (integer) : Cuts all frames up to this number -% plotting (true/false) : Enable/disable plotting feature -% stop (true/false) : Determine whether the function should terminate -% after angular frequency is determined -% ------------ The following input arguments are optional --------------- -% cropx (double array) : Cropping of the video, given on the format -% [firstpixel:lastpixel] -% cropy (double array) : Cropping of the video, given on the format -% [firstpixel:lastpixel] -% -% OUTPUT -% angular_freq : Calculated value of angular frequency -% -% Created 2017-02-03 by -% Olle Alvin, Jonathan Astermark, Julia H. Fovaeus, John Hellborg - -if nargin == 5 - cropping = false; -elseif nargin == 7 - cropping = true; -else - error('Invalid number of input arguments in readvideo') -end - -v = VideoReader(file); - -ctr = 1; -fprintf('Discarding first %d frames.\n',startFrame-1) -while hasFrame(v) && ctr < startFrame - frame = readFrame(v); - ctr = ctr+1; -end -if plotting - figure(1) - clf -end -timePerFrame = 1/fps; -found = false; -angularFreq = -Inf; - -while hasFrame(v) - frame = readFrame(v); - if cropping - croppedframe = frame(cropx,cropy,:); - else - frame = rgb2gray(frame); - end - T = (frame>180); - [angle,c,vec] = angleCalc(T); - % Save angle on first frame - if ctr == startFrame - startAngle = angle; - relAngle = 0; - time = 0; - timeSinceReset = 0; - else - relAnglePrev = relAngle; - relAngle = angle-startAngle; - end - % Half period completed when the relative angle crosses zero, but not - % by a fold-around - if ((relAngle > 0 && relAnglePrev < 0) ... - || (relAngle < 0 && relAnglePrev > 0)) ... - && abs(relAngle - relAnglePrev) < pi/4 ... % fold-around - % Alternative: add && ~found to only look for first value -% ctr - elapsedTime = timeSinceReset; - newFreq = pi/elapsedTime; - if newFreq > angularFreq % Keep only fastest rotation speed - angularFreq = newFreq; - end - found = true; - if stop - return - else - % Start new measurement - startAngle = angle; - relAngle = 0; - timeSinceReset = 0; - end - end - if plotting -% imshow(grayimg) -% imagesc(grayimg) - colormap(gray) - imagesc(T) - %%%%%%%%%%% - hold on - p1 = c; - p2 = c + vec*100; - p3 = c + vec*(-100); - plot(p1(1),p1(2), '*r') - line([p1(1) p2(1)], [p1(2) p2(2)]) - line([p1(1) p3(1)], [p1(2) p3(2)]) - %%%%%%%% - title(['frame: ',num2str(ctr), ', t = ',... - num2str(time),' s, angle: ',num2str(angle)]) -% fprintf('Paused, press any button for next frame.\n') - pause(0.05) - end - angleVec(ctr) = angle; - time = time + timePerFrame; - timeSinceReset = timeSinceReset + timePerFrame; - ctr = ctr+1; -end - -if ~found - error(['Video ended before a value was calculated.\n',... - ' Consider reducing value of startFrame.']) -end -angleVec = angleVec'; -end +function [angularFreq, angleVec] = readvideo(file,fps,startFrame,plotting,stop,... + cropx,cropy) +%READVIDEO reads video of paper helicopter and calculates rotation +% +% INPUT +% file (string) : Name and path to video file +% fps (integer) : Number of frames per second in video +% startFrame (integer) : Cuts all frames up to this number +% plotting (true/false) : Enable/disable plotting feature +% stop (true/false) : Determine whether the function should terminate +% after angular frequency is determined +% ------------ The following input arguments are optional --------------- +% cropx (double array) : Cropping of the video, given on the format +% [firstpixel:lastpixel] +% cropy (double array) : Cropping of the video, given on the format +% [firstpixel:lastpixel] +% +% OUTPUT +% angular_freq : Calculated value of angular frequency +% +% Created 2017-02-03 by +% Olle Alvin, Jonathan Astermark, Julia H. Fovaeus, John Hellborg + +if nargin == 5 + cropping = false; +elseif nargin == 7 + cropping = true; +else + error('Invalid number of input arguments in readvideo') +end + +v = VideoReader(file); + +ctr = 1; +fprintf('Discarding first %d frames.\n',startFrame-1) +while hasFrame(v) && ctr < startFrame + frame = readFrame(v); + ctr = ctr+1; +end +if plotting + figure(1) + clf +end +timePerFrame = 1/fps; +found = false; +angularFreq = -Inf; + +while hasFrame(v) + frame = readFrame(v); + if cropping + croppedframe = frame(cropx,cropy,:); + else + frame = rgb2gray(frame); + end + T = (frame>180); + [angle,c,vec] = angleCalc(T); + % Save angle on first frame + if ctr == startFrame + startAngle = angle; + relAngle = 0; + time = 0; + timeSinceReset = 0; + else + relAnglePrev = relAngle; + relAngle = angle-startAngle; + end + % Half period completed when the relative angle crosses zero, but not + % by a fold-around + if ((relAngle > 0 && relAnglePrev < 0) ... + || (relAngle < 0 && relAnglePrev > 0)) ... + && abs(relAngle - relAnglePrev) < pi/4 ... % fold-around + % Alternative: add && ~found to only look for first value +% ctr + elapsedTime = timeSinceReset; + newFreq = pi/elapsedTime; + if newFreq > angularFreq % Keep only fastest rotation speed + angularFreq = newFreq; + end + found = true; + if stop + return + else + % Start new measurement + startAngle = angle; + relAngle = 0; + timeSinceReset = 0; + end + end + if plotting +% imshow(grayimg) +% imagesc(grayimg) + colormap(gray) + imagesc(T) + %%%%%%%%%%% + hold on + p1 = c; + p2 = c + vec*100; + p3 = c + vec*(-100); + plot(p1(1),p1(2), '*r') + line([p1(1) p2(1)], [p1(2) p2(2)]) + line([p1(1) p3(1)], [p1(2) p3(2)]) + %%%%%%%% + title(['frame: ',num2str(ctr), ', t = ',... + num2str(time),' s, angle: ',num2str(angle)]) +% fprintf('Paused, press any button for next frame.\n') + pause(0.05) + end + angleVec(ctr) = angle; + time = time + timePerFrame; + timeSinceReset = timeSinceReset + timePerFrame; + ctr = ctr+1; +end + +if ~found + error(['Video ended before a value was calculated.\n',... + ' Consider reducing value of startFrame.']) +end +angleVec = angleVec'; +end diff --git a/matlab/readvideo.m~ b/matlab/readvideo.m~ index 2380d64..2c4f715 100644 --- a/matlab/readvideo.m~ +++ b/matlab/readvideo.m~ @@ -1,119 +1,119 @@ -function [angularFreq] = readvideo(file,fps,startFrame,plotting,stop,... - cropx,cropy) -%READVIDEO reads video of paper helicopter and calculates rotation -% -% INPUT -% file (string) : Name and path to video file -% fps (integer) : Number of frames per second in video -% startFrame (integer) : Cuts all frames up to this number -% plotting (true/false) : Enable/disable plotting feature -% stop (true/false) : Determine whether the function should terminate -% after angular frequency is determined -% ------------ The following input arguments are optional --------------- -% cropx (double array) : Cropping of the video, given on the format -% [firstpixel:lastpixel] -% cropy (double array) : Cropping of the video, given on the format -% [firstpixel:lastpixel] -% -% OUTPUT -% angular_freq : Calculated value of angular frequency -% -% Created 2017-02-03 by -% Olle Alvin, Jonathan Astermark, Julia H. Fovaeus, John Hellborg - -if nargin == 5 - cropping = false; -elseif nargin == 7 - cropping = true; -else - error('Invalid number of input arguments in readvideo') -end - -v = VideoReader(file); - -ctr = 1; -fprintf('Discarding first %d frames.\n',startFrame-1) -while hasFrame(v) && ctr < startFrame - frame = readFrame(v); - ctr = ctr+1; -end -if plotting - figure(1) - clf -end -timePerFrame = 1/fps; -found = false; -angularFreq = -Inf; - -while hasFrame(v) - frame = readFrame(v); - if cropping - croppedframe = frame(cropx,cropy,:); - else - frame = rgb2gray(frame); - end - T = (frame>180); - [angle,c,vec] = angleCalc(T); - % Save angle on first frame - if ctr == startFrame - startAngle = angle; - relAngle = 0; - time = 0; - timeSinceReset = 0; - else - relAnglePrev = relAngle; - relAngle = angle-startAngle; - end - % Half period completed when the relative angle crosses zero, but not - % by a fold-around - if ((relAngle > 0 && relAnglePrev < 0) ... - || (relAngle < 0 && relAnglePrev > 0)) ... - && abs(relAngle - relAnglePrev) < pi/4 ... % fold-around - % Alternative: add && ~found to only look for first value -% ctr - elapsedTime = timeSinceReset; - newFreq = pi/elapsedTime; - if newFreq > angularFreq % Keep only fastest rotation speed - angularFreq = newFreq; - end - found = true; - if stop - return - else - % Start new measurement - startAngle = angle; - relAngle = 0; - timeSinceReset = 0; - end - end - if plotting -% imshow(grayimg) -% imagesc(grayimg) - colormap(gray) - imagesc(T) - %%%%%%%%%%% - hold on - p1 = c; - p2 = c + vec*100; - p3 = c + vec*(-100); - plot(p1(1),p1(2), '*r') - line([p1(1) p2(1)], [p1(2) p2(2)]) - line([p1(1) p3(1)], [p1(2) p3(2)]) - %%%%%%%% - title(['frame: ',num2str(ctr), ', t = ',... - num2str(time),' s, angle: ',num2str(angle)]) -% fprintf('Paused, press any button for next frame.\n') - pause(0.05) - end - angle(fr - time = time + timePerFrame; - timeSinceReset = timeSinceReset + timePerFrame; - ctr = ctr+1; -end - -if ~found - error(['Video ended before a value was calculated.\n',... - ' Consider reducing value of startFrame.']) -end - -end +function [angularFreq] = readvideo(file,fps,startFrame,plotting,stop,... + cropx,cropy) +%READVIDEO reads video of paper helicopter and calculates rotation +% +% INPUT +% file (string) : Name and path to video file +% fps (integer) : Number of frames per second in video +% startFrame (integer) : Cuts all frames up to this number +% plotting (true/false) : Enable/disable plotting feature +% stop (true/false) : Determine whether the function should terminate +% after angular frequency is determined +% ------------ The following input arguments are optional --------------- +% cropx (double array) : Cropping of the video, given on the format +% [firstpixel:lastpixel] +% cropy (double array) : Cropping of the video, given on the format +% [firstpixel:lastpixel] +% +% OUTPUT +% angular_freq : Calculated value of angular frequency +% +% Created 2017-02-03 by +% Olle Alvin, Jonathan Astermark, Julia H. Fovaeus, John Hellborg + +if nargin == 5 + cropping = false; +elseif nargin == 7 + cropping = true; +else + error('Invalid number of input arguments in readvideo') +end + +v = VideoReader(file); + +ctr = 1; +fprintf('Discarding first %d frames.\n',startFrame-1) +while hasFrame(v) && ctr < startFrame + frame = readFrame(v); + ctr = ctr+1; +end +if plotting + figure(1) + clf +end +timePerFrame = 1/fps; +found = false; +angularFreq = -Inf; + +while hasFrame(v) + frame = readFrame(v); + if cropping + croppedframe = frame(cropx,cropy,:); + else + frame = rgb2gray(frame); + end + T = (frame>180); + [angle,c,vec] = angleCalc(T); + % Save angle on first frame + if ctr == startFrame + startAngle = angle; + relAngle = 0; + time = 0; + timeSinceReset = 0; + else + relAnglePrev = relAngle; + relAngle = angle-startAngle; + end + % Half period completed when the relative angle crosses zero, but not + % by a fold-around + if ((relAngle > 0 && relAnglePrev < 0) ... + || (relAngle < 0 && relAnglePrev > 0)) ... + && abs(relAngle - relAnglePrev) < pi/4 ... % fold-around + % Alternative: add && ~found to only look for first value +% ctr + elapsedTime = timeSinceReset; + newFreq = pi/elapsedTime; + if newFreq > angularFreq % Keep only fastest rotation speed + angularFreq = newFreq; + end + found = true; + if stop + return + else + % Start new measurement + startAngle = angle; + relAngle = 0; + timeSinceReset = 0; + end + end + if plotting +% imshow(grayimg) +% imagesc(grayimg) + colormap(gray) + imagesc(T) + %%%%%%%%%%% + hold on + p1 = c; + p2 = c + vec*100; + p3 = c + vec*(-100); + plot(p1(1),p1(2), '*r') + line([p1(1) p2(1)], [p1(2) p2(2)]) + line([p1(1) p3(1)], [p1(2) p3(2)]) + %%%%%%%% + title(['frame: ',num2str(ctr), ', t = ',... + num2str(time),' s, angle: ',num2str(angle)]) +% fprintf('Paused, press any button for next frame.\n') + pause(0.05) + end + angle(fr + time = time + timePerFrame; + timeSinceReset = timeSinceReset + timePerFrame; + ctr = ctr+1; +end + +if ~found + error(['Video ended before a value was calculated.\n',... + ' Consider reducing value of startFrame.']) +end + +end diff --git a/matlab/readvideo2.m b/matlab/readvideo2.m index caf7f14..44ce78a 100644 --- a/matlab/readvideo2.m +++ b/matlab/readvideo2.m @@ -1,151 +1,151 @@ -function [angularFreq,stdAngFreq,relAngles] ... - = readvideo2(file,fps,startFrame,endFrame,plotting,... - cropx,cropy) -%READVIDEO reads video of paper helicopter and calculates rotation -% This version calculates angular frequency as the mean value betweeen -% startFrame and endFrame -% -% INPUT -% file (string) : Name and path to video file -% fps (integer) : Number of frames per second in video -% startFrame (integer) : Cuts all frames up to this number -% (Set '1' to start on the first frame) -% endFrame (integer) : Cuts all frames after this number -% (Set 'inf' to go through all frames) -% plotting (true/false) : Enable/disable plotting feature -% ------------ The following input arguments are optional --------------- -% cropx (double array) : Cropping of the video, given on the format -% [firstpixel:lastpixel] -% cropy (double array) : Cropping of the video, given on the format -% [firstpixel:lastpixel] -% -% OUTPUT -% angular_freq : Calculated value of angular frequency -% -% Created 2017-02-03 by -% Olle Alvin, Jonathan Astermark, Julia H. Fovaeus, John Hellborg - -if nargin == 5 - cropping = false; -elseif nargin == 7 - cropping = true; -else - error('Invalid number of input arguments in readvideo') -end - -% Read video file -v = VideoReader(file); -ctr = 1; - -% Discard all frames up to 'startFrame' -fprintf('Discarding first %d frames.\n',startFrame-1) -while hasFrame(v) && ctr < startFrame - readFrame(v); - ctr = ctr+1; -end - -% If plotting is enabled, prepare figure -if plotting - figure(1) - clf -end - -% If possible, preallocate the array 'relAngles' -if isfinite(endFrame) - relAngles = zeros(endFrame-startFrame+1); -end - -timePerFrame = 1/fps; -while hasFrame(v) && ctr <= endFrame - frame = readFrame(v); - if cropping - frame = frame(cropx,cropy,:); - end - frame = rgb2gray(frame); - T = (frame>180); - [angle,c,vec] = angleCalc(T); - - % Save angle on first frame, otherwise calculate relative angle - if ctr == startFrame - startAngle = angle; - relAngle = 0; - time = 0; - else - relAngle = angle-startAngle; - end - % Half period completed when the relative angle crosses zero, but not - % by a fold-around -% if ((relAngle > 0 && relAnglePrev < 0) ... -% || (relAngle < 0 && relAnglePrev > 0)) ... -% && abs(relAngle - relAnglePrev) < pi/4 ... % fold-around -% % Alternative: add && ~found to only look for first value -% % ctr -% -% % Start new measurement -% startAngle = angle; -% relAngle = 0; -% end - if plotting -% imshow(grayimg) -% imagesc(grayimg) - figure(1) - colormap(gray) - imagesc(T) - %%%%%%%%%%% - hold on - p1 = c; - p2 = c + vec*100; - p3 = c + vec*(-100); - plot(p1(1),p1(2), '*r') - line([p1(1) p2(1)], [p1(2) p2(2)]) - line([p1(1) p3(1)], [p1(2) p3(2)]) - %%%%%%%% - title(['frame: ',num2str(ctr), ', t = ',... - num2str(time),' s, relAngle: ',num2str(relAngle)]) - pause(0.01) - end - relAngles(ctr-startFrame+1) = relAngle; -% angleVec(ctr) = angle; - time = time + timePerFrame; -% timeSinceReset = timeSinceReset + timePerFrame; - ctr = ctr+1; -end - -angFreqs = normangle2(diff(relAngles))/timePerFrame; - -if plotting - figure(2) - clf - plot(relAngles) - title('Sampled angle per frame, relative starting angle') - ylabel('Angle relative start poistion [rad]') -end -figure(3) -clf -plot(angFreqs,'*') -title('Angular frequency per frame') -ylabel('Angular frequency [rad/s]') - -% Let the user pick the interval in which to calculate mean -fprintf(['Set starting point for mean calculation by clicking in the ',... - 'plot.\n']) -[startMean,~] = ginput(1); -startMean = round(startMean); -line([startMean startMean],ylim,'Color','k') -endMean = -Inf; -fprintf('Set end point for mean calculation by clicking in the plot.\n') -while endMean < startMean - [endMean,~] = ginput(1); - endMean = round(endMean); -end -line([endMean endMean],ylim,'Color','k') - -fprintf('Averaging over %d frames.\n',endMean-startMean+1) -angularFreq = mean(angFreqs(startMean:endMean)); -stdAngFreq = std(angFreqs(startMean:endMean)); - -if ~isfinite(angularFreq) - error('No finite angular frequency could be calculated.') -end - -end +function [angularFreq,stdAngFreq,relAngles] ... + = readvideo2(file,fps,startFrame,endFrame,plotting,... + cropx,cropy) +%READVIDEO reads video of paper helicopter and calculates rotation +% This version calculates angular frequency as the mean value betweeen +% startFrame and endFrame +% +% INPUT +% file (string) : Name and path to video file +% fps (integer) : Number of frames per second in video +% startFrame (integer) : Cuts all frames up to this number +% (Set '1' to start on the first frame) +% endFrame (integer) : Cuts all frames after this number +% (Set 'inf' to go through all frames) +% plotting (true/false) : Enable/disable plotting feature +% ------------ The following input arguments are optional --------------- +% cropx (double array) : Cropping of the video, given on the format +% [firstpixel:lastpixel] +% cropy (double array) : Cropping of the video, given on the format +% [firstpixel:lastpixel] +% +% OUTPUT +% angular_freq : Calculated value of angular frequency +% +% Created 2017-02-03 by +% Olle Alvin, Jonathan Astermark, Julia H. Fovaeus, John Hellborg + +if nargin == 5 + cropping = false; +elseif nargin == 7 + cropping = true; +else + error('Invalid number of input arguments in readvideo') +end + +% Read video file +v = VideoReader(file); +ctr = 1; + +% Discard all frames up to 'startFrame' +fprintf('Discarding first %d frames.\n',startFrame-1) +while hasFrame(v) && ctr < startFrame + readFrame(v); + ctr = ctr+1; +end + +% If plotting is enabled, prepare figure +if plotting + figure(1) + clf +end + +% If possible, preallocate the array 'relAngles' +if isfinite(endFrame) + relAngles = zeros(endFrame-startFrame+1); +end + +timePerFrame = 1/fps; +while hasFrame(v) && ctr <= endFrame + frame = readFrame(v); + if cropping + frame = frame(cropx,cropy,:); + end + frame = rgb2gray(frame); + T = (frame>180); + [angle,c,vec] = angleCalc(T); + + % Save angle on first frame, otherwise calculate relative angle + if ctr == startFrame + startAngle = angle; + relAngle = 0; + time = 0; + else + relAngle = angle-startAngle; + end + % Half period completed when the relative angle crosses zero, but not + % by a fold-around +% if ((relAngle > 0 && relAnglePrev < 0) ... +% || (relAngle < 0 && relAnglePrev > 0)) ... +% && abs(relAngle - relAnglePrev) < pi/4 ... % fold-around +% % Alternative: add && ~found to only look for first value +% % ctr +% +% % Start new measurement +% startAngle = angle; +% relAngle = 0; +% end + if plotting +% imshow(grayimg) +% imagesc(grayimg) + figure(1) + colormap(gray) + imagesc(T) + %%%%%%%%%%% + hold on + p1 = c; + p2 = c + vec*100; + p3 = c + vec*(-100); + plot(p1(1),p1(2), '*r') + line([p1(1) p2(1)], [p1(2) p2(2)]) + line([p1(1) p3(1)], [p1(2) p3(2)]) + %%%%%%%% + title(['frame: ',num2str(ctr), ', t = ',... + num2str(time),' s, relAngle: ',num2str(relAngle)]) + pause(0.01) + end + relAngles(ctr-startFrame+1) = relAngle; +% angleVec(ctr) = angle; + time = time + timePerFrame; +% timeSinceReset = timeSinceReset + timePerFrame; + ctr = ctr+1; +end + +angFreqs = normangle2(diff(relAngles))/timePerFrame; + +if false + figure(2) + clf + plot(relAngles) + title('Sampled angle per frame, relative starting angle') + ylabel('Angle relative start poistion [rad]') +end +figure(3) +clf +plot(angFreqs,'*') +title('Angular frequency per frame') +ylabel('Angular frequency [rad/s]') + +% Let the user pick the interval in which to calculate mean +fprintf(['Set starting point for mean calculation by clicking in the ',... + 'plot.\n']) +[startMean,~] = ginput(1); +startMean = round(startMean); +line([startMean startMean],ylim,'Color','k') +endMean = -Inf; +fprintf('Set end point for mean calculation by clicking in the plot.\n') +while endMean < startMean + [endMean,~] = ginput(1); + endMean = round(endMean); +end +line([endMean endMean],ylim,'Color','k') + +fprintf('Averaging over %d frames.\n',endMean-startMean+1) +angularFreq = mean(angFreqs(startMean:endMean)); +stdAngFreq = std(angFreqs(startMean:endMean)); + +if ~isfinite(angularFreq) + error('No finite angular frequency could be calculated.') +end + +end diff --git a/matlab/secondMoment.m b/matlab/secondMoment.m index 5f04193..2dcc379 100644 --- a/matlab/secondMoment.m +++ b/matlab/secondMoment.m @@ -1,22 +1,22 @@ -function [H, c] = secondMoment(img) - -%centre of mass -m1=zeros(2,1); -s = size(img); -for i=1:s(1) - for j=1:s(2) - m1 = m1 +[j;i]*img(i,j); - end -end -m0 = sum(sum(img)); -c = m1/m0; - -%Second moment -A= zeros(2,2); -for i=1:s(1) - for j=1:s(2) - A = A + [(j-c(1))^2 (i-c(2))*(j-c(1)); (i-c(2))*(j-c(1)) (i-c(2))^2] * img(i,j); - end -end -H = A; -end +function [H, c] = secondMoment(img) + +%centre of mass +m1=zeros(2,1); +s = size(img); +for i=1:s(1) + for j=1:s(2) + m1 = m1 +[j;i]*img(i,j); + end +end +m0 = sum(sum(img)); +c = m1/m0; + +%Second moment +A= zeros(2,2); +for i=1:s(1) + for j=1:s(2) + A = A + [(j-c(1))^2 (i-c(2))*(j-c(1)); (i-c(2))*(j-c(1)) (i-c(2))^2] * img(i,j); + end +end +H = A; +end diff --git a/matlab/test_readvideo.m b/matlab/test_readvideo.m index 6e6dbf9..f37b451 100644 --- a/matlab/test_readvideo.m +++ b/matlab/test_readvideo.m @@ -1,31 +1,31 @@ -% Testing script for readvideo.m -% Created 2017-02-03 -% Serves the same purpose as readvideo did before 2017-02-03 -% but now uses the fact that readvideo is a function -% -clear all - -file = '../data/top9.mp4'; % Videos should be in '../data/' -%file = 'binarytest.avi' -fps = 119; % Camera specific -startFrame = 1; -%cropx = 300:520; -%cropy = 300:980; - -plotting = true; % Toggle plotting -stop = false; % Toggle whether the script terminates immediately after - % an angular frequency is found - -tic; -[angular_freq, angleVec] = readvideo(file,fps,startFrame,plotting,stop) -toc; - -fprintf('Highest angular frequency: %f rad/s\n',angular_freq) - -angDiff = angleVec - circshift(angleVec,1); -figure(2) -plot(angleVec) -figure(3) -rotSpeeds = normangle2(angDiff)*119 -plot(rotSpeeds, '*') - +% Testing script for readvideo.m +% Created 2017-02-03 +% Serves the same purpose as readvideo did before 2017-02-03 +% but now uses the fact that readvideo is a function +% +clear all + +file = '../data/top9.mp4'; % Videos should be in '../data/' +%file = 'binarytest.avi' +fps = 119; % Camera specific +startFrame = 1; +%cropx = 300:520; +%cropy = 300:980; + +plotting = true; % Toggle plotting +stop = false; % Toggle whether the script terminates immediately after + % an angular frequency is found + +tic; +[angular_freq, angleVec] = readvideo(file,fps,startFrame,plotting,stop) +toc; + +fprintf('Highest angular frequency: %f rad/s\n',angular_freq) + +angDiff = angleVec - circshift(angleVec,1); +figure(2) +plot(angleVec) +figure(3) +rotSpeeds = normangle2(angDiff)*119 +plot(rotSpeeds, '*') + diff --git a/matlab/test_readvideo.m~ b/matlab/test_readvideo.m~ index f415820..fbfc7fa 100644 --- a/matlab/test_readvideo.m~ +++ b/matlab/test_readvideo.m~ @@ -1,23 +1,23 @@ -% Testing script for readvideo.m -% Created 2017-02-03 -% Serves the same purpose as readvideo did before 2017-02-03 -% but now uses the fact that readvideo is a function -% -clear all - -file = 'PaperHelicopterAnalysisreal/data/helicopter9top.mp4'; % Videos should be in '../data/' -%file = 'binarytest.avi' -fps = 119; % Camera specific -startFrame = 1; -%cropx = 300:520; -%cropy = 300:980; - -plotting = true; % Toggle plotting -stop = false; % Toggle whether the script terminates immediately after - % an angular frequency is found - -tic; -[angular_freq, angleVec] = readvideo(file,fps,startFrame,plotting,stop) -toc; - +% Testing script for readvideo.m +% Created 2017-02-03 +% Serves the same purpose as readvideo did before 2017-02-03 +% but now uses the fact that readvideo is a function +% +clear all + +file = 'PaperHelicopterAnalysisreal/data/helicopter9top.mp4'; % Videos should be in '../data/' +%file = 'binarytest.avi' +fps = 119; % Camera specific +startFrame = 1; +%cropx = 300:520; +%cropy = 300:980; + +plotting = true; % Toggle plotting +stop = false; % Toggle whether the script terminates immediately after + % an angular frequency is found + +tic; +[angular_freq, angleVec] = readvideo(file,fps,startFrame,plotting,stop) +toc; + fprintf('Highest angular frequency: %f rad/s\n',angular_freq) \ No newline at end of file diff --git a/matlab/test_readvideo2.m b/matlab/test_readvideo2.m index 9fd389a..a804c05 100644 --- a/matlab/test_readvideo2.m +++ b/matlab/test_readvideo2.m @@ -1,31 +1,31 @@ -% Testing script for readvideo2.m -% Created 2017-02-11 -% - -clear all - -file = '../data/top9.mp4'; % Videos should be in '../data/' - -fps = 119; % Camera specific -startFrame = 1; -endFrame = Inf; -%cropx = 300:520; % optional cropping -%cropy = 300:980; % optional cropping - -plotting = true; % Toggle plotting true/false -% pauseTime = 0.05; % Set how many seconds to display each frame - -[angular_freq,std,angleVec]=readvideo2(file,fps,startFrame,endFrame,... - plotting); - -fprintf('Average angular frequency: %f rad/s\n',angular_freq) -fprintf('Standard deviation: %f rad/s\n',std) - -% angleVec = angleVec.'; -% angDiff = angleVec - circshift(angleVec,1); -% figure(2) -% plot(angleVec) -% figure(3) -% rotSpeeds = normangle2(angDiff)*119; -% plot(rotSpeeds, '*') - +% Testing script for readvideo2.m +% Created 2017-02-11 +% + +clear all + +file = '../data/top9.mp4'; % Videos should be in '../data/' + +fps = 119; % Camera specific +startFrame = 1; +endFrame = Inf; +%cropx = 300:520; % optional cropping +%cropy = 300:980; % optional cropping + +plotting = true; % Toggle plotting true/false +% pauseTime = 0.05; % Set how many seconds to display each frame + +[angular_freq,std,angleVec]=readvideo2(file,fps,startFrame,endFrame,... + plotting); + +fprintf('Average angular frequency: %f rad/s\n',angular_freq) +fprintf('Standard deviation: %f rad/s\n',std) + +% angleVec = angleVec.'; +% angDiff = angleVec - circshift(angleVec,1); +% figure(2) +% plot(angleVec) +% figure(3) +% rotSpeeds = normangle2(angDiff)*119; +% plot(rotSpeeds, '*') + diff --git a/secondmoment.m b/secondmoment.m index 397786b..44dc1c8 100644 --- a/secondmoment.m +++ b/secondmoment.m @@ -1,31 +1,31 @@ -%% -function [H, c] = secondmoment(img) -% calculate the centre of mass by zeroth and first moment m0 and m1 -%img = [1 2;3 4] - -m0 = sum(sum(img)); % zeroth moment m0 -s = size(img) - -m1 = zeros(2,1); -for i = 1:s(2) - for j = 1:s(1) - m1 = m1 + [i j]'*img(i, j); % first moment m1 - end -end - -%s(1) antal rader y-led -%s(2) antal kolonner x-led - -c = m1/m0 - -m2 = zeros(2,2); -for i=1:s(1) - for j=1:s(2) - m2 = m2 + [(j-c(1))^2 (j-c(1))*(i-c(2));(j-c(1))*(i-c(2)) (i-c(2))^2]*img(i, j); - end -end - -H = m2; -c = c -end +%% +function [H, c] = secondmoment(img) +% calculate the centre of mass by zeroth and first moment m0 and m1 +%img = [1 2;3 4] + +m0 = sum(sum(img)); % zeroth moment m0 +s = size(img) + +m1 = zeros(2,1); +for i = 1:s(2) + for j = 1:s(1) + m1 = m1 + [i j]'*img(i, j); % first moment m1 + end +end + +%s(1) antal rader y-led +%s(2) antal kolonner x-led + +c = m1/m0 + +m2 = zeros(2,2); +for i=1:s(1) + for j=1:s(2) + m2 = m2 + [(j-c(1))^2 (j-c(1))*(i-c(2));(j-c(1))*(i-c(2)) (i-c(2))^2]*img(i, j); + end +end + +H = m2; +c = c +end \ No newline at end of file diff --git a/tex/main.tex b/tex/main.tex index 359bec9..853840a 100644 --- a/tex/main.tex +++ b/tex/main.tex @@ -1 +1 @@ -%% +%% From 6687434576637e538d8813ec8efd4175540782f1 Mon Sep 17 00:00:00 2001 From: juliafovaeus Date: Mon, 13 Feb 2017 15:59:12 +0100 Subject: [PATCH 07/16] helicopter data --- matlab/helicopterData.m | 10 ++++++++++ 1 file changed, 10 insertions(+) create mode 100644 matlab/helicopterData.m diff --git a/matlab/helicopterData.m b/matlab/helicopterData.m new file mode 100644 index 0000000..dd4f3c8 --- /dev/null +++ b/matlab/helicopterData.m @@ -0,0 +1,10 @@ +function H = helicopterData +H = zeros(6,11); +a = 1e-02*[4 4 4 5 3 4 4 4 4 4 4] +b = [0.035 0.045 0.025 0.035 0.035 0.035 0.035 0.035 0.035 0.035 0.035] +c = 1e-02*[2 2 2 2 2 3 1 2 2 2 2] +d = 1e-02*[3 3 3 3 3 3 3 3 3 4 2] +L = 1e-02*[13 13 13 13 13 13 13 18 8 13 13] +alpha = pi/8*[1 1 1 1 1 1 1 1 1 1 1 ] % h?r beh?vs riktiga v?rden +H = [a;b;c;d;L; alpha] +end \ No newline at end of file From bb91ca89d0a558f6448c3f3de1e67b04ed958531 Mon Sep 17 00:00:00 2001 From: Jonathan Astermark Date: Wed, 15 Feb 2017 13:38:28 +0100 Subject: [PATCH 08/16] made some changes to readvideo --- matlab/evaluate_prototypes.m | 20 +- matlab/plots/ang_freq.eps | 2658 ++++++++++++++++++++++++++++++++++ matlab/readvideo2.m | 15 +- 3 files changed, 2688 insertions(+), 5 deletions(-) create mode 100644 matlab/plots/ang_freq.eps diff --git a/matlab/evaluate_prototypes.m b/matlab/evaluate_prototypes.m index 5d7d259..3b20f67 100644 --- a/matlab/evaluate_prototypes.m +++ b/matlab/evaluate_prototypes.m @@ -1,4 +1,8 @@ % Evaluates videos of prototypes. + +% Toggle whether to save .eps +saveplot = true; + % Files must be called 'top1.mp4', 'top2.mp4' etc. video_folder = '../../Filmer/Prototypes/'; @@ -11,13 +15,27 @@ endFrame = Inf; plotting = true; % Toggle plotting true/false +% Preallocate arrays angular_freq = zeros(1,11); freq_std = zeros(1,11); -for i=1:11 + +% if saveplot +% figure(4) +% end +for i=2:2 if i~=6 % file 6 does not exist right now file = [video_folder, 'top', num2str(i), '.mp4']; [angular_freq(i),freq_std(i),~] = readvideo2(file,fps,startFrame,... endFrame,plotting); +% if saveplot +% figure(4) +% plot(startFrame:(startFrame-1)+length(angFreqs),angFreqs,'*') +% title('Angular frequency per frame') +% ylabel('Angular frequency [rad/s]') +% xlabel('Frame') +% plotname = ['plots/ang_freq_heli_' num2str(i) '.eps']; +% eval(['print -depsc ' plotname]); +% end end end diff --git a/matlab/plots/ang_freq.eps b/matlab/plots/ang_freq.eps new file mode 100644 index 0000000..9fc5df0 --- /dev/null +++ b/matlab/plots/ang_freq.eps @@ -0,0 +1,2658 @@ +%!PS-Adobe-3.0 EPSF-3.0 +%%Creator: (MATLAB, The Mathworks, Inc. 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video of paper helicopter and calculates rotation @@ -40,7 +40,8 @@ % Discard all frames up to 'startFrame' fprintf('Discarding first %d frames.\n',startFrame-1) while hasFrame(v) && ctr < startFrame - readFrame(v); + frame = readFrame(v); + clear frame ctr = ctr+1; end @@ -63,6 +64,7 @@ end frame = rgb2gray(frame); T = (frame>180); + clear frame [angle,c,vec] = angleCalc(T); % Save angle on first frame, otherwise calculate relative angle @@ -103,6 +105,7 @@ title(['frame: ',num2str(ctr), ', t = ',... num2str(time),' s, relAngle: ',num2str(relAngle)]) pause(0.01) +% pause end relAngles(ctr-startFrame+1) = relAngle; % angleVec(ctr) = angle; @@ -110,7 +113,7 @@ % timeSinceReset = timeSinceReset + timePerFrame; ctr = ctr+1; end - +clear v frame T angFreqs = normangle2(diff(relAngles))/timePerFrame; if false @@ -122,9 +125,13 @@ end figure(3) clf -plot(angFreqs,'*') +plot((startFrame+1):(ctr-1),angFreqs,'*') +% ylim([30 60]) title('Angular frequency per frame') ylabel('Angular frequency [rad/s]') +xlabel('Frame') + +print -depsc plots/ang_freq.eps % Let the user pick the interval in which to calculate mean fprintf(['Set starting point for mean calculation by clicking in the ',... From e04be52b2c87c0ad28bafd9fa5efa194802aaa68 Mon Sep 17 00:00:00 2001 From: Jonathan Astermark Date: Wed, 15 Feb 2017 14:28:26 +0100 Subject: [PATCH 09/16] added some test scripts --- matlab/test_2_cut.m | 31 +++++++++++++++++++++++++++++++ matlab/test_2_uncut.m | 31 +++++++++++++++++++++++++++++++ 2 files changed, 62 insertions(+) create mode 100644 matlab/test_2_cut.m create mode 100644 matlab/test_2_uncut.m diff --git a/matlab/test_2_cut.m b/matlab/test_2_cut.m new file mode 100644 index 0000000..11345b9 --- /dev/null +++ b/matlab/test_2_cut.m @@ -0,0 +1,31 @@ +% Testing script for readvideo2.m +% Created 2017-02-11 +% + +clear all + +file = '../../Filmer/top2_cut.mp4'; % Videos should be in '../data/' + +fps = 119; % Camera specific +startFrame = 1; +endFrame = Inf; +cropx = 200:500; % optional cropping +cropy = 500:800; % optional cropping + +plotting = true; % Toggle plotting true/false +% pauseTime = 0.05; % Set how many seconds to display each frame + +[angular_freq,std,angleVec]=readvideo2(file,fps,startFrame,endFrame,... + plotting); + +fprintf('Average angular frequency: %f rad/s\n',angular_freq) +fprintf('Standard deviation: %f rad/s\n',std) + +% angleVec = angleVec.'; +% angDiff = angleVec - circshift(angleVec,1); +% figure(2) +% plot(angleVec) +% figure(3) +% rotSpeeds = normangle2(angDiff)*119; +% plot(rotSpeeds, '*') + diff --git a/matlab/test_2_uncut.m b/matlab/test_2_uncut.m new file mode 100644 index 0000000..12e00b1 --- /dev/null +++ b/matlab/test_2_uncut.m @@ -0,0 +1,31 @@ +% Testing script for readvideo2.m +% Created 2017-02-11 +% + +clear all + +file = '../../Filmer/top2_uncut.mp4'; % Videos should be in '../data/' + +fps = 119; % Camera specific +startFrame = 1; +endFrame = Inf; +cropx = 200:500; % optional cropping +cropy = 500:800; % optional cropping + +plotting = true; % Toggle plotting true/false +% pauseTime = 0.05; % Set how many seconds to display each frame + +[angular_freq,std,angleVec]=readvideo2(file,fps,startFrame,endFrame,... + plotting,cropx,cropy); + +fprintf('Average angular frequency: %f rad/s\n',angular_freq) +fprintf('Standard deviation: %f rad/s\n',std) + +% angleVec = angleVec.'; +% angDiff = angleVec - circshift(angleVec,1); +% figure(2) +% plot(angleVec) +% figure(3) +% rotSpeeds = normangle2(angDiff)*119; +% plot(rotSpeeds, '*') + From c077a8427a05571d0c177c96b45408501f8570df Mon Sep 17 00:00:00 2001 From: Jonathan Astermark Date: Wed, 15 Feb 2017 16:35:15 +0100 Subject: [PATCH 10/16] made a new evaluate_prototypes2.m and made some improvements in readvideo2.m --- matlab/angular_freqs.mat | Bin 273 -> 278 bytes matlab/evaluate_prototypes2.m | 70 + matlab/plots/ang_freq.eps | 7975 +++++++++++++++++++++++++++------ matlab/readvideo2.m | 37 +- 4 files changed, 6700 insertions(+), 1382 deletions(-) create mode 100644 matlab/evaluate_prototypes2.m diff --git a/matlab/angular_freqs.mat b/matlab/angular_freqs.mat index 15c3f813773e63e2685724f18427f59767408b14..7f0514be8daa29995d0cab2e1648e328970500ac 100644 GIT binary patch delta 164 zcmV;V09*f&0+s@hA1zQrS4mDbG%O%Pa%Ew3Wn>_4ZaN@WWn>^mWnv&PH6SrIIx{jl zFf|}DFfligQ6rIH1(9?R0gjP{FkxK>CV$+!)!pIg9!0aFH}(!6PsbH2=?6JXQV#3V z^!0X#P_4ZaN@MZ*Cw)Wnv&PGaxZEIx#gm zF*hJGFfligQ6rIH1(9?R0f~`?FkD>59tVD2ba#-GoZ#=%VCBH-bH+~6Gsxk@N@o@Y zg&>D_8<%EW()4tI8qctcx8m@MpS}+JcNxv{lJ#*Ac&}0By4%^|ozQOP_Y1uoa?Ohm NaMrjv001i;CU%7|L^J>Z diff --git a/matlab/evaluate_prototypes2.m b/matlab/evaluate_prototypes2.m new file mode 100644 index 0000000..e77ed7e --- /dev/null +++ b/matlab/evaluate_prototypes2.m @@ -0,0 +1,70 @@ +% Evaluates videos of prototypes. Uncut videos +% Files must be called 'Helicopter1Top.mp4' etc. + +% Toggle whether to save .eps +saveplot = true; + +% Specify folder for videos +video_folder = '../../Filmer/Prototypes/'; + +% Load geometry +load('../data/prototypes.mat') + +% Global parameters +fps = 119; % Camera specific +plotting = true; % Toggle plotting true/false + +% Preallocate arrays +angular_freq = zeros(1,11); +freq_std = zeros(1,11); + +for i=1:11 + + % Default parameters + startFrame = 1; + endFrame = Inf; + cropx = 200:550; + cropy = 400:800; + + % If neccessary, change video-specific parameters + switch i + case 1 + endFrame = 140; + case 2 + endFrame = 150; + case 3 + startFrame = 40; + endFrame = 170; + case 4 + startFrame = 120; + endFrame = 290; + case 5 + startFrame = 100; + endFrame = 240; + case 6 + startFrame = 150; + endFrame = 340; + case 7 + startFrame = 150; + endFrame = 310; + case 8 + startFrame = 120; + endFrame = 280; + case 9 + startFrame = 130; + endFrame = 310; + case 10 + startFrame = 200; + endFrame = 360; + cropy = 400:900; + case 11 + startFrame = 80; + endFrame = 270; + end + + fprintf(['Reading video ' num2str(i) '\n']) + file = [video_folder, 'Helicopter', num2str(i), 'Top.mp4']; + [angular_freq(i),freq_std(i),~] = readvideo2(file,fps,startFrame,... + endFrame,plotting,cropx,cropy); +end + diff --git a/matlab/plots/ang_freq.eps b/matlab/plots/ang_freq.eps index 9fc5df0..000f6d9 100644 --- a/matlab/plots/ang_freq.eps +++ b/matlab/plots/ang_freq.eps @@ -1,9 +1,9 @@ %!PS-Adobe-3.0 EPSF-3.0 -%%Creator: (MATLAB, The Mathworks, Inc. 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M +313 590 L S GR GS -[0.75 0 0 0.75 149 196.60188] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +312 493.5 M +321 493.5 L S GR GS -[0.75 0 0 0.75 151.75 195.82821] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +316.5 498 M +316.5 489 L S GR GS -[0.75 0 0 0.75 154.5 198.21162] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +313 497 M +320 490 L S GR GS -[0.75 0 0 0.75 157.25 200.52782] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +313 490 M +320 497 L S GR GS -[0.75 0 0 0.75 160 250.38174] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +320 532.5 M +329 532.5 L S GR GS -[0.75 0 0 0.75 162.75 200.36101] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +324.5 537 M +324.5 528 L S GR GS -[0.75 0 0 0.75 165.5 199.02608] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +321 536 M +328 529 L S GR GS -[0.75 0 0 0.75 168.25 196.94639] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +321 529 M +328 536 L S GR GS -[0.75 0 0 0.75 171 195.9486] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +327 518.5 M +336 518.5 L S GR GS -[0.75 0 0 0.75 173.75 197.83813] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +331.5 523 M +331.5 514 L S GR GS -[0.75 0 0 0.75 176.5 250.41788] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +328 522 M +335 515 L S GR GS -[0.75 0 0 0.75 179.25 200.85274] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +328 515 M +335 522 L S GR GS -[0.75 0 0 0.75 182 201.72347] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +335 599.5 M +344 599.5 L S GR GS -[0.75 0 0 0.75 184.75 200.18976] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +339.5 604 M +339.5 595 L S GR GS -[0.75 0 0 0.75 187.5 197.75869] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +336 603 M +343 596 L S GR GS -[0.75 0 0 0.75 190.25 250.41529] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +336 596 M +343 603 L S GR GS -[0.75 0 0 0.75 193.00001 197.08992] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +342 593.5 M +351 593.5 L S GR GS -[0.75 0 0 0.75 195.75 198.59807] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +346.5 598 M +346.5 589 L S GR GS -[0.75 0 0 0.75 198.49999 201.73279] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +343 597 M +350 590 L S GR GS -[0.75 0 0 0.75 201.25001 202.68073] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +343 590 M +350 597 L S GR GS -[0.75 0 0 0.75 204 201.82201] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +350 489.5 M +359 489.5 L S GR GS -[0.75 0 0 0.75 206.74999 250.39348] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +354.5 494 M +354.5 485 L S GR GS -[0.75 0 0 0.75 209.50001 199.87296] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +351 493 M +358 486 L S GR GS -[0.75 0 0 0.75 212.25 197.84125] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +351 486 M +358 493 L S GR GS -[0.75 0 0 0.75 214.99999 198.74604] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ +N +357 451.5 M +366 451.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +361.5 456 M +361.5 447 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +358 455 M +365 448 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +358 448 M +365 455 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +365 434.5 M +374 434.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +369.5 439 M +369.5 430 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +366 438 M +373 431 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +366 431 M +373 438 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +372 435.5 M +381 435.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +376.5 440 M +376.5 431 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +373 439 M +380 432 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +373 432 M +380 439 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +379 434.5 M +388 434.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +383.5 439 M +383.5 430 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +380 438 M +387 431 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +380 431 M +387 438 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +387 397.5 M +396 397.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +391.5 402 M +391.5 393 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +388 401 M +395 394 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +388 394 M +395 401 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +394 359.5 M +403 359.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +398.5 364 M +398.5 355 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +395 363 M +402 356 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +395 356 M +402 363 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +402 320.5 M +411 320.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +406.5 325 M +406.5 316 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +403 324 M +410 317 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +403 317 M +410 324 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +409 310.5 M +418 310.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +413.5 315 M +413.5 306 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +410 314 M +417 307 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +410 307 M +417 314 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +417 315.5 M +426 315.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +421.5 320 M +421.5 311 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +418 319 M +425 312 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +418 312 M +425 319 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +424 334.5 M +433 334.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +428.5 339 M +428.5 330 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +425 338 M +432 331 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +425 331 M +432 338 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +432 304.5 M +441 304.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +436.5 309 M +436.5 300 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +433 308 M +440 301 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +433 301 M +440 308 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +439 248.5 M +448 248.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +443.5 253 M +443.5 244 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +440 252 M +447 245 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +440 245 M +447 252 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +446 208.5 M +455 208.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +450.5 213 M +450.5 204 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +447 212 M +454 205 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +447 205 M +454 212 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +454 198.5 M +463 198.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +458.5 203 M +458.5 194 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +455 202 M +462 195 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +455 195 M +462 202 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +461 221.5 M +470 221.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +465.5 226 M +465.5 217 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +462 225 M +469 218 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +462 218 M +469 225 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +469 273.5 M +478 273.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +473.5 278 M +473.5 269 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +470 277 M +477 270 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +470 270 M +477 277 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +476 231.5 M +485 231.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +480.5 236 M +480.5 227 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +477 235 M +484 228 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +477 228 M +484 235 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +484 181.5 M +493 181.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +488.5 186 M +488.5 177 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +485 185 M +492 178 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +485 178 M +492 185 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +491 147.5 M +500 147.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +495.5 152 M +495.5 143 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +492 151 M +499 144 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +492 144 M +499 151 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +498 151.5 M +507 151.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +502.5 156 M +502.5 147 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +499 155 M +506 148 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +499 148 M +506 155 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +506 158.5 M +515 158.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +510.5 163 M +510.5 154 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +507 162 M +514 155 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +507 155 M +514 162 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +513 213.5 M +522 213.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +517.5 218 M +517.5 209 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +514 217 M +521 210 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +514 210 M +521 217 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +521 209.5 M +530 209.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +525.5 214 M +525.5 205 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +522 213 M +529 206 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +522 206 M +529 213 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +528 160.5 M +537 160.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +532.5 165 M +532.5 156 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +529 164 M +536 157 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +529 157 M +536 164 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +536 118.5 M +545 118.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +540.5 123 M +540.5 114 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +537 122 M +544 115 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +537 115 M +544 122 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +543 111.5 M +552 111.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +547.5 116 M +547.5 107 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +544 115 M +551 108 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +544 108 M +551 115 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +551 162.5 M +560 162.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +555.5 167 M +555.5 158 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +552 166 M +559 159 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +552 159 M +559 166 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +558 210.5 M +567 210.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +562.5 215 M +562.5 206 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +559 214 M +566 207 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +559 207 M +566 214 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +565 187.5 M +574 187.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +569.5 192 M +569.5 183 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +566 191 M +573 184 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +566 184 M +573 191 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +573 155.5 M +582 155.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +577.5 160 M +577.5 151 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +574 159 M +581 152 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +574 152 M +581 159 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +580 111.5 M +589 111.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +584.5 116 M +584.5 107 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +581 115 M +588 108 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +581 108 M +588 115 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +588 105.5 M +597 105.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +592.5 110 M +592.5 101 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +589 109 M +596 102 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +589 102 M +596 109 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +595 135.5 M +604 135.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +599.5 140 M +599.5 131 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +596 139 M +603 132 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +596 132 M +603 139 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +603 178.5 M +612 178.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +607.5 183 M +607.5 174 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +604 182 M +611 175 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +604 175 M +611 182 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +610 183.5 M +619 183.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +614.5 188 M +614.5 179 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +611 187 M +618 180 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +611 180 M +618 187 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +618 154.5 M +627 154.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +622.5 159 M +622.5 150 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +619 158 M +626 151 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +619 151 M +626 158 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +625 121.5 M +634 121.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +629.5 126 M +629.5 117 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +626 125 M +633 118 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +626 118 M +633 125 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +632 95.5 M +641 95.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +636.5 100 M +636.5 91 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +633 99 M +640 92 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +633 92 M +640 99 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +640 117.5 M +649 117.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +644.5 122 M +644.5 113 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +641 121 M +648 114 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +641 114 M +648 121 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +647 182.5 M +656 182.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +651.5 187 M +651.5 178 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +648 186 M +655 179 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +648 179 M +655 186 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +655 180.5 M +664 180.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +659.5 185 M +659.5 176 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +656 184 M +663 177 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +656 177 M +663 184 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +662 162.5 M +671 162.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +666.5 167 M +666.5 158 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +663 166 M +670 159 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +663 159 M +670 166 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +670 139.5 M +679 139.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +674.5 144 M +674.5 135 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +671 143 M +678 136 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +671 136 M +678 143 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +677 124.5 M +686 124.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +681.5 129 M +681.5 120 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +678 128 M +685 121 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +678 121 M +685 128 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +684 137.5 M +693 137.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +688.5 142 M +688.5 133 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +685 141 M +692 134 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +685 134 M +692 141 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +692 186.5 M +701 186.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +696.5 191 M +696.5 182 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +693 190 M +700 183 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +693 183 M +700 190 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +699 178.5 M +708 178.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +703.5 183 M +703.5 174 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +700 182 M +707 175 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +700 175 M +707 182 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +707 177.5 M +716 177.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +711.5 182 M +711.5 173 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +708 181 M +715 174 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +708 174 M +715 181 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +714 141.5 M +723 141.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +718.5 146 M +718.5 137 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +715 145 M +722 138 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +715 138 M +722 145 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +722 116.5 M +731 116.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +726.5 121 M +726.5 112 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +723 120 M +730 113 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +723 113 M +730 120 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +729 125.5 M +738 125.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +733.5 130 M +733.5 121 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +730 129 M +737 122 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +730 122 M +737 129 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +737 173.5 M +746 173.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +741.5 178 M +741.5 169 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +738 177 M +745 170 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +738 170 M +745 177 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +744 189.5 M +753 189.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +748.5 194 M +748.5 185 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +745 193 M +752 186 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +745 186 M +752 193 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +751 165.5 M +760 165.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +755.5 170 M +755.5 161 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +752 169 M +759 162 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +752 162 M +759 169 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +759 143.5 M +768 143.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +763.5 148 M +763.5 139 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +760 147 M +767 140 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +760 140 M +767 147 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +766 127.5 M +775 127.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +770.5 132 M +770.5 123 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +767 131 M +774 124 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +767 124 M +774 131 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +774 131.5 M +783 131.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +778.5 136 M +778.5 127 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +775 135 M +782 128 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +775 128 M +782 135 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +781 179.5 M +790 179.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +785.5 184 M +785.5 175 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +782 183 M +789 176 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +782 176 M +789 183 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +789 188.5 M +798 188.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +793.5 193 M +793.5 184 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +790 192 M +797 185 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +790 185 M +797 192 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +796 183.5 M +805 183.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +800.5 188 M +800.5 179 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +797 187 M +804 180 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +797 180 M +804 187 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +804 163.5 M +813 163.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +808.5 168 M +808.5 159 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +805 167 M +812 160 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +805 160 M +812 167 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +811 131.5 M +820 131.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +815.5 136 M +815.5 127 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +812 135 M +819 128 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +812 128 M +819 135 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +818 122.5 M +827 122.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +822.5 127 M +822.5 118 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +819 126 M +826 119 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +819 119 M +826 126 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +826 157.5 M +835 157.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +830.5 162 M +830.5 153 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +827 161 M +834 154 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +827 154 M +834 161 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +833 188.5 M +842 188.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +837.5 193 M +837.5 184 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +834 192 M +841 185 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +834 185 M +841 192 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +841 185.5 M +850 185.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +845.5 190 M +845.5 181 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +842 189 M +849 182 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +842 182 M +849 189 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +848 154.5 M +857 154.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +852.5 159 M +852.5 150 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +849 158 M +856 151 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +849 151 M +856 158 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +856 129.5 M +865 129.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +860.5 134 M +860.5 125 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +857 133 M +864 126 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +857 126 M +864 133 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +863 116.5 M +872 116.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +867.5 121 M +867.5 112 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +864 120 M +871 113 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +864 113 M +871 120 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +870 143.5 M +879 143.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +874.5 148 M +874.5 139 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +871 147 M +878 140 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +871 140 M +878 147 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +878 175.5 M +887 175.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +882.5 180 M +882.5 171 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +879 179 M +886 172 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +879 172 M +886 179 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +885 176.5 M +894 176.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +889.5 181 M +889.5 172 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +886 180 M +893 173 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +886 173 M +893 180 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +893 168.5 M +902 168.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +897.5 173 M +897.5 164 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +894 172 M +901 165 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +894 165 M +901 172 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +900 141.5 M +909 141.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +904.5 146 M +904.5 137 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +901 145 M +908 138 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +901 138 M +908 145 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +908 133.5 M +917 133.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +912.5 138 M +912.5 129 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +909 137 M +916 130 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +909 130 M +916 137 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +915 156.5 M +924 156.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +919.5 161 M +919.5 152 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +916 160 M +923 153 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +916 153 M +923 160 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +923 184.5 M +932 184.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +927.5 189 M +927.5 180 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +924 188 M +931 181 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +924 181 M +931 188 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +930 182.5 M +939 182.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +934.5 187 M +934.5 178 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +931 186 M +938 179 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +931 179 M +938 186 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +937 172.5 M +946 172.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +941.5 177 M +941.5 168 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +938 176 M +945 169 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +938 169 M +945 176 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +945 131.5 M +954 131.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +949.5 136 M +949.5 127 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +946 135 M +953 128 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +946 128 M +953 135 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +952 117.5 M +961 117.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +956.5 122 M +956.5 113 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +953 121 M +960 114 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +953 114 M +960 121 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +960 145.5 M +969 145.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +964.5 150 M +964.5 141 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +961 149 M +968 142 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +961 142 M +968 149 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +967 175.5 M +976 175.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +971.5 180 M +971.5 171 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +968 179 M +975 172 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +968 172 M +975 179 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +975 180.5 M +984 180.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +979.5 185 M +979.5 176 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +976 184 M +983 177 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +976 177 M +983 184 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +982 157.5 M +991 157.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +986.5 162 M +986.5 153 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +983 161 M +990 154 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +983 154 M +990 161 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +990 140.5 M +999 140.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +994.5 145 M +994.5 136 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +991 144 M +998 137 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +991 137 M +998 144 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +997 120.5 M +1006 120.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1001.5 125 M +1001.5 116 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +998 124 M +1005 117 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +998 117 M +1005 124 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1004 134.5 M +1013 134.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1008.5 139 M +1008.5 130 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1005 138 M +1012 131 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1005 131 M +1012 138 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1012 183.5 M +1021 183.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1016.5 188 M +1016.5 179 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1013 187 M +1020 180 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1013 180 M +1020 187 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1019 197.5 M +1028 197.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1023.5 202 M +1023.5 193 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1020 201 M +1027 194 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1020 194 M +1027 201 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1027 183.5 M +1036 183.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1031.5 188 M +1031.5 179 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1028 187 M +1035 180 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1028 180 M +1035 187 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1034 161.5 M +1043 161.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1038.5 166 M +1038.5 157 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1035 165 M +1042 158 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1035 158 M +1042 165 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1042 142.5 M +1051 142.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1046.5 147 M +1046.5 138 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1043 146 M +1050 139 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1043 139 M +1050 146 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1049 132.5 M +1058 132.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1053.5 137 M +1053.5 128 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1050 136 M +1057 129 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1050 129 M +1057 136 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1056 185.5 M +1065 185.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1060.5 190 M +1060.5 181 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1057 189 M +1064 182 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1057 182 M +1064 189 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1064 184.5 M +1073 184.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1068.5 189 M +1068.5 180 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1065 188 M +1072 181 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1065 181 M +1072 188 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1071 183.5 M +1080 183.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1075.5 188 M +1075.5 179 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1072 187 M +1079 180 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1072 180 M +1079 187 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1079 160.5 M +1088 160.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1083.5 165 M +1083.5 156 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1080 164 M +1087 157 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1080 157 M +1087 164 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1086 131.5 M +1095 131.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1090.5 136 M +1090.5 127 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1087 135 M +1094 128 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1087 128 M +1094 135 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1094 131.5 M +1103 131.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1098.5 136 M +1098.5 127 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1095 135 M +1102 128 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1095 128 M +1102 135 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1101 160.5 M +1110 160.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1105.5 165 M +1105.5 156 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1102 164 M +1109 157 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1102 157 M +1109 164 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1109 184.5 M +1118 184.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1113.5 189 M +1113.5 180 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1110 188 M +1117 181 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1110 181 M +1117 188 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1116 193.5 M +1125 193.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1120.5 198 M +1120.5 189 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1117 197 M +1124 190 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1117 190 M +1124 197 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1123 164.5 M +1132 164.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1127.5 169 M +1127.5 160 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1124 168 M +1131 161 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1124 161 M +1131 168 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1131 131.5 M +1140 131.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1135.5 136 M +1135.5 127 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1132 135 M +1139 128 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1132 128 M +1139 135 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1138 130.5 M +1147 130.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1142.5 135 M +1142.5 126 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1139 134 M +1146 127 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1139 127 M +1146 134 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1146 157.5 M +1155 157.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1150.5 162 M +1150.5 153 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1147 161 M +1154 154 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1147 154 M +1154 161 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1153 180.5 M +1162 180.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1157.5 185 M +1157.5 176 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1154 184 M +1161 177 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1154 177 M +1161 184 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1161 184.5 M +1170 184.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1165.5 189 M +1165.5 180 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1162 188 M +1169 181 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1162 181 M +1169 188 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1168 154.5 M +1177 154.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1172.5 159 M +1172.5 150 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1169 158 M +1176 151 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1169 151 M +1176 158 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1176 126.5 M +1185 126.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1180.5 131 M +1180.5 122 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1177 130 M +1184 123 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1177 123 M +1184 130 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1183 127.5 M +1192 127.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1187.5 132 M +1187.5 123 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1184 131 M +1191 124 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1184 124 M +1191 131 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1190 146.5 M +1199 146.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1194.5 151 M +1194.5 142 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1191 150 M +1198 143 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1191 143 M +1198 150 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1198 151.5 M +1207 151.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1202.5 156 M +1202.5 147 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1199 155 M +1206 148 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1199 148 M +1206 155 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1205 186.5 M +1214 186.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1209.5 191 M +1209.5 182 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1206 190 M +1213 183 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1206 183 M +1213 190 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1213 139.5 M +1222 139.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1217.5 144 M +1217.5 135 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1214 143 M +1221 136 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1214 136 M +1221 143 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1220 129.5 M +1229 129.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1224.5 134 M +1224.5 125 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1221 133 M +1228 126 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1221 126 M +1228 133 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1228 116.5 M +1237 116.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1232.5 121 M +1232.5 112 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1229 120 M +1236 113 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1229 113 M +1236 120 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1235 148.5 M +1244 148.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1239.5 153 M +1239.5 144 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1236 152 M +1243 145 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1236 145 M +1243 152 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1242 164.5 M +1251 164.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1246.5 169 M +1246.5 160 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1243 168 M +1250 161 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1243 161 M +1250 168 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1250 174.5 M +1259 174.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1254.5 179 M +1254.5 170 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1251 178 M +1258 171 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1251 171 M +1258 178 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1257 159.5 M +1266 159.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1261.5 164 M +1261.5 155 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1258 163 M +1265 156 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1258 156 M +1265 163 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1265 123.5 M +1274 123.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1269.5 128 M +1269.5 119 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1266 127 M +1273 120 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1266 120 M +1273 127 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1272 111.5 M +1281 111.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1276.5 116 M +1276.5 107 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1273 115 M +1280 108 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1273 108 M +1280 115 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1280 137.5 M +1289 137.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1284.5 142 M +1284.5 133 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1281 141 M +1288 134 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1281 134 M +1288 141 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1287 161.5 M +1296 161.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1291.5 166 M +1291.5 157 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1288 165 M +1295 158 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1288 158 M +1295 165 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1295 172.5 M +1304 172.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1299.5 177 M +1299.5 168 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1296 176 M +1303 169 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1296 169 M +1303 176 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1302 167.5 M +1311 167.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1306.5 172 M +1306.5 163 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1303 171 M +1310 164 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1303 164 M +1310 171 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1309 170.5 M +1318 170.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1313.5 175 M +1313.5 166 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1310 174 M +1317 167 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1310 167 M +1317 174 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1317 234.5 M +1326 234.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1321.5 239 M +1321.5 230 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1318 238 M +1325 231 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1318 231 M +1325 238 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1324 101.5 M +1333 101.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1328.5 106 M +1328.5 97 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1325 105 M +1332 98 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1325 98 M +1332 105 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1332 395.5 M +1341 395.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1336.5 400 M +1336.5 391 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1333 399 M +1340 392 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1333 392 M +1340 399 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1339 320.5 M +1348 320.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1343.5 325 M +1343.5 316 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1340 324 M +1347 317 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1340 317 M +1347 324 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1347 326.5 M +1356 326.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1351.5 331 M +1351.5 322 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1348 330 M +1355 323 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1348 323 M +1355 330 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1354 345.5 M +1363 345.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1358.5 350 M +1358.5 341 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1355 349 M +1362 342 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1355 342 M +1362 349 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1362 481.5 M +1371 481.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1366.5 486 M +1366.5 477 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1363 485 M +1370 478 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1363 478 M +1370 485 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1369 424.5 M +1378 424.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1373.5 429 M +1373.5 420 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1370 428 M +1377 421 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1370 421 M +1377 428 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1376 488.5 M +1385 488.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1380.5 493 M +1380.5 484 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1377 492 M +1384 485 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1377 485 M +1384 492 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1384 506.5 M +1393 506.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1388.5 511 M +1388.5 502 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1385 510 M +1392 503 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1385 503 M +1392 510 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1391 569.5 M +1400 569.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1395.5 574 M +1395.5 565 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1392 573 M +1399 566 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1392 566 M +1399 573 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1399 614.5 M +1408 614.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1403.5 619 M +1403.5 610 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1400 618 M +1407 611 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1400 611 M +1407 618 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1406 650.5 M +1415 650.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1410.5 655 M +1410.5 646 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1407 654 M +1414 647 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1407 647 M +1414 654 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1414 693.5 M +1423 693.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1418.5 698 M +1418.5 689 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1415 697 M +1422 690 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1415 690 M +1422 697 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1421 749.5 M +1430 749.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1425.5 754 M +1425.5 745 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1422 753 M +1429 746 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1422 746 M +1429 753 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1428 784.5 M +1437 784.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1432.5 789 M +1432.5 780 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1429 788 M +1436 781 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1429 781 M +1436 788 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1436 792.5 M +1445 792.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1440.5 797 M +1440.5 788 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1437 796 M +1444 789 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1437 789 M +1444 796 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1443 804.5 M +1452 804.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1447.5 809 M +1447.5 800 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1444 808 M +1451 801 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1444 801 M +1451 808 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1451 844.5 M +1460 844.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1455.5 849 M +1455.5 840 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1452 848 M +1459 841 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1452 841 M +1459 848 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1458 833.5 M +1467 833.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1462.5 838 M +1462.5 829 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1459 837 M +1466 830 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1459 830 M +1466 837 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1466 843.5 M +1475 843.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1470.5 848 M +1470.5 839 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1467 847 M +1474 840 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1467 840 M +1474 847 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1473 822.5 M +1482 822.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1477.5 827 M +1477.5 818 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1474 826 M +1481 819 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1474 819 M +1481 826 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1481 825.5 M +1490 825.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1485.5 830 M +1485.5 821 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1482 829 M +1489 822 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1482 822 M +1489 829 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1488 831.5 M +1497 831.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1492.5 836 M +1492.5 827 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1489 835 M +1496 828 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1489 828 M +1496 835 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1495 841.5 M +1504 841.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1499.5 846 M +1499.5 837 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1496 845 M +1503 838 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1496 838 M +1503 845 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1503 841.5 M +1512 841.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1507.5 846 M +1507.5 837 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1504 845 M +1511 838 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1504 838 M +1511 845 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1510 831.5 M +1519 831.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1514.5 836 M +1514.5 827 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1511 835 M +1518 828 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1511 828 M +1518 835 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1518 847.5 M +1527 847.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1522.5 852 M +1522.5 843 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1519 851 M +1526 844 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1519 844 M +1526 851 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1525 831.5 M +1534 831.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1529.5 836 M +1529.5 827 L S GR GS -[0.75 0 0 0.75 217.75001 201.55618] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1526 835 M +1533 828 L S GR GS -[0.75 0 0 0.75 220.5 202.97427] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1526 828 M +1533 835 L S GR GS -[0.75 0 0 0.75 223.24999 250.33841] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1533 851.5 M +1542 851.5 L S GR GS -[0.75 0 0 0.75 226.00001 201.77147] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1537.5 856 M +1537.5 847 L S GR GS -[0.75 0 0 0.75 228.75 199.66505] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1534 855 M +1541 848 L S GR GS -[0.75 0 0 0.75 231.49999 196.77448] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1534 848 M +1541 855 L S GR GS -[0.75 0 0 0.75 234.25001 197.14462] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1540 853.5 M +1549 853.5 L S GR GS -[0.75 0 0 0.75 237 200.50452] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1544.5 858 M +1544.5 849 L S GR GS -[0.75 0 0 0.75 239.74999 250.43127] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1541 857 M +1548 850 L S GR GS -[0.75 0 0 0.75 242.50001 201.31627] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1541 850 M +1548 857 L S GR GS -[0.75 0 0 0.75 245.25 201.23357] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1548 862.5 M +1557 862.5 L S GR GS -[0.75 0 0 0.75 247.99999 199.46578] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1552.5 867 M +1552.5 858 L S GR GS -[0.75 0 0 0.75 250.75001 197.5399] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1549 866 M +1556 859 L S GR GS -[0.75 0 0 0.75 253.5 197.66821] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1549 859 M +1556 866 L S GR GS -[0.75 0 0 0.75 256.24999 250.40355] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1555 864.5 M +1564 864.5 L S GR GS -[0.75 0 0 0.75 259.00001 199.52632] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1559.5 869 M +1559.5 860 L S GR GS -[0.75 0 0 0.75 261.75 202.16215] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1556 868 M +1563 861 L S GR GS -[0.75 0 0 0.75 264.49999 202.67912] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1556 861 M +1563 868 L S GR GS -[0.75 0 0 0.75 267.25001 200.36838] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1562 879.5 M +1571 879.5 L S GR GS -[0.75 0 0 0.75 270 250.40197] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1566.5 884 M +1566.5 875 L S GR GS -[0.75 0 0 0.75 272.74999 198.03806] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1563 883 M +1570 876 L S GR GS -[0.75 0 0 0.75 275.50001 197.60566] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1563 876 M +1570 883 L S GR GS -[0.75 0 0 0.75 278.25 199.78411] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1570 895.5 M +1579 895.5 L S GR GS -[0.75 0 0 0.75 280.99999 202.62893] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1574.5 900 M +1574.5 891 L S GR GS -[0.75 0 0 0.75 283.75001 202.68814] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1571 899 M +1578 892 L S GR GS -[0.75 0 0 0.75 286.5 250.41804] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1571 892 M +1578 899 L S GR GS -[0.75 0 0 0.75 289.24999 201.50155] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1577 884.5 M +1586 884.5 L S GR GS -[0.75 0 0 0.75 292.00001 198.55737] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1581.5 889 M +1581.5 880 L S GR GS -[0.75 0 0 0.75 294.75 198.5335] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1578 888 M +1585 881 L S GR GS -[0.75 0 0 0.75 297.49999 199.22175] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1578 881 M +1585 888 L S GR GS -[0.75 0 0 0.75 300.25001 202.35116] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1585 897.5 M +1594 897.5 L S GR GS -[0.75 0 0 0.75 303 250.44033] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1589.5 902 M +1589.5 893 L S GR GS -[0.75 0 0 0.75 305.74999 202.62916] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1586 901 M +1593 894 L S GR GS -[0.75 0 0 0.75 308.50001 201.93235] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1586 894 M +1593 901 L S GR GS -[0.75 0 0 0.75 311.25 198.19064] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1592 888.5 M +1601 888.5 L S GR GS -[0.75 0 0 0.75 313.99999 199.7222] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1596.5 893 M +1596.5 884 L S GR GS -[0.75 0 0 0.75 316.75001 192.31783] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1593 892 M +1600 885 L S GR GS -[0.75 0 0 0.75 319.5 203.13327] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1593 885 M +1600 892 L S GR GS -[0.75 0 0 0.75 322.24999 250.44919] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1600 883.5 M +1609 883.5 L S GR GS -[0.75 0 0 0.75 325.00001 216.57257] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1604.5 888 M +1604.5 879 L S GR GS -[0.75 0 0 0.75 327.75 224.14639] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1601 887 M +1608 880 L S GR GS -[0.75 0 0 0.75 330.49999 214.01015] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1601 880 M +1608 887 L S GR GS -[0.75 0 0 0.75 333.25001 210.9066] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1607 870.5 M +1616 870.5 L S GR GS -[0.75 0 0 0.75 336 224.12993] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1611.5 875 M +1611.5 866 L S GR GS -[0.75 0 0 0.75 338.74999 224.77389] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1608 874 M +1615 867 L S GR GS -[0.75 0 0 0.75 341.50001 220.92426] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1608 867 M +1615 874 L S GR GS -[0.75 0 0 0.75 344.25 224.05392] CT +[0.75 0 0 0.75 0 -0.25] CT 0 0.447 0.741 RC -10.0 ML -0.667 LW +1 LJ +N +1614 859.5 M +1623 859.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1618.5 864 M +1618.5 855 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1615 863 M +1622 856 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1615 856 M +1622 863 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1622 847.5 M +1631 847.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1626.5 852 M +1626.5 843 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1623 851 M +1630 844 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1623 844 M +1630 851 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1629 840.5 M +1638 840.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1633.5 845 M +1633.5 836 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1630 844 M +1637 837 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1630 837 M +1637 844 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1637 851.5 M +1646 851.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1641.5 856 M +1641.5 847 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1638 855 M +1645 848 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1638 848 M +1645 855 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1644 828.5 M +1653 828.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1648.5 833 M +1648.5 824 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1645 832 M +1652 825 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1645 825 M +1652 832 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1652 833.5 M +1661 833.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1656.5 838 M +1656.5 829 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1653 837 M +1660 830 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1653 830 M +1660 837 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1659 831.5 M +1668 831.5 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1663.5 836 M +1663.5 827 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ +N +1660 835 M +1667 828 L +S +GR +GS +[0.75 0 0 0.75 0 -0.25] CT +0 0.447 0.741 RC +1 LJ N -0 -4 M -0 4 L --4 0 M -4 0 L --2.828 -2.828 M -2.828 2.828 L --2.828 2.828 M -2.828 -2.828 L +1660 828 M +1667 835 L S GR %%Trailer diff --git a/matlab/readvideo2.m b/matlab/readvideo2.m index 07e2131..5408a08 100644 --- a/matlab/readvideo2.m +++ b/matlab/readvideo2.m @@ -38,7 +38,7 @@ ctr = 1; % Discard all frames up to 'startFrame' -fprintf('Discarding first %d frames.\n',startFrame-1) +fprintf('Discarding first %d frames...\n',startFrame-1) while hasFrame(v) && ctr < startFrame frame = readFrame(v); clear frame @@ -53,7 +53,7 @@ % If possible, preallocate the array 'relAngles' if isfinite(endFrame) - relAngles = zeros(endFrame-startFrame+1); + relAngles = zeros(1,endFrame-startFrame+1); end timePerFrame = 1/fps; @@ -64,6 +64,10 @@ end frame = rgb2gray(frame); T = (frame>180); + if ~max(max(T)) % All pixels zero, i.e. no helicopter found at all + warning('Terminating video because helicopter was not found.') + break % Step out of loop + end clear frame [angle,c,vec] = angleCalc(T); @@ -102,7 +106,8 @@ line([p1(1) p2(1)], [p1(2) p2(2)]) line([p1(1) p3(1)], [p1(2) p3(2)]) %%%%%%%% - title(['frame: ',num2str(ctr), ', t = ',... + title(['Helicopter number ', num2str(i), '\n',... + 'frame: ',num2str(ctr), ', t = ',... num2str(time),' s, relAngle: ',num2str(relAngle)]) pause(0.01) % pause @@ -130,26 +135,30 @@ title('Angular frequency per frame') ylabel('Angular frequency [rad/s]') xlabel('Frame') +axis manual % freeze axis print -depsc plots/ang_freq.eps % Let the user pick the interval in which to calculate mean fprintf(['Set starting point for mean calculation by clicking in the ',... 'plot.\n']) -[startMean,~] = ginput(1); -startMean = round(startMean); -line([startMean startMean],ylim,'Color','k') -endMean = -Inf; +startMeanIndex = -Inf; +endMeanIndex = -Inf; +while startMeanIndex < 0 + [startMeanVal,~] = ginput(1); + startMeanIndex = ceil(startMeanVal-(startFrame-1)) +end +line([startMeanVal startMeanVal],ylim,'Color','k') fprintf('Set end point for mean calculation by clicking in the plot.\n') -while endMean < startMean - [endMean,~] = ginput(1); - endMean = round(endMean); +while endMeanIndex < startMeanIndex + [endMeanVal,~] = ginput(1); + endMeanIndex = floor(endMeanVal-(startFrame-1)) end -line([endMean endMean],ylim,'Color','k') +line([endMeanVal endMeanVal],ylim,'Color','k') -fprintf('Averaging over %d frames.\n',endMean-startMean+1) -angularFreq = mean(angFreqs(startMean:endMean)); -stdAngFreq = std(angFreqs(startMean:endMean)); +fprintf('Averaging over %d frames.\n',endMeanIndex-startMeanIndex+1) +angularFreq = mean(angFreqs(startMeanIndex:endMeanIndex)); +stdAngFreq = std(angFreqs(startMeanIndex:endMeanIndex)); if ~isfinite(angularFreq) error('No finite angular frequency could be calculated.') From 9c6b990d6d459693d0be042a580f7bfacc17cf2f Mon Sep 17 00:00:00 2001 From: juliafovaeus Date: Mon, 20 Feb 2017 12:58:04 +0100 Subject: [PATCH 11/16] Add files via upload Estimation of constants --- skattningar.m | 115 ++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 115 insertions(+) create mode 100644 skattningar.m diff --git a/skattningar.m b/skattningar.m new file mode 100644 index 0000000..51209d5 --- /dev/null +++ b/skattningar.m @@ -0,0 +1,115 @@ +%% m?tningar: + + +data = xlsread('data1.xls') +%% +%hastigheter +V = [2.2894; +2.1259; +2.2046; +1.9841; +2.8345; +1.9841; +2.1259; +2.2046; +1.7007; +2.0525; +1.9841]; + + +%vinkelfrekvenser +W = [47; + 31.924; + 72.736; + 54.603; + 50.292; + 39.341; + 59.929; + 56.118; + 39.404; + 53.296; + 44.972]; + +%vinklar +alpha = [0.3440 0.2867 0.3801 0.4130 0.7854 0.4999 0.3048 0.4434 0.4674 0.5124 0.3785]' % h?r beh?vs riktiga v?rden + + + +%% +H = helicopterData' +% en 11x5 matris med a, b, c, d, L i kolumnerna f?r varje helikopter + +A = ones(11, 2); +B = ones(11,1); + +a = H(:,1) +b = H(:,2) +c = H(:,3) +d = H(:,4) +L = H(:,5) + +rho_a = 1.293 + +%% for equation 1 + % Filling matrix A +for k = 1:11 +A(k, 1) = a(k)*b(k)*b(k)*sin(alpha(k))*(rho_a/2) * cos(alpha(k))*V(k)*V(k) +A(k, 2) = a(k)*b(k)*b(k)*sin(alpha(k))*(rho_a/2) * sin(alpha(k))*W(k)*W(k)*b(k)*b(k)/3 +B(k) = rho_a*W(k)*W(k)*(c(k)*(b(k)^4)/6 + L(k)*(d(k)^4)/96) +end + C = A\B % ingen ?r utel?mnad. + %% + % leaving one sample out of the experiment starting with leaving the last + % helicopter out + +for q = 1:11 +A = circshift(A, [-1, 0]) % leaving the first one out the first time +B = circshift(B, [-1,0]) +Atemp = A(1:10,:) +Btemp = B(1:10,:) +constants1(q,:) = Atemp\Btemp +end +%% h?r testas helikopter 1 d?r konstanterna ?r skattade mot det stickprov d?r nr 1 utel?mnats. + +for w = 1:11 +VL = A(w,1)*constants1(w,1) + A(w,2)*constants1(w,2) +HL = B(w) +test(w) = VL - HL +end + + + +%% for equation 2 + % Filling matrix A + g = 9.82; + rho_p = 0.080; + + +for k = 1:11 +A(k, 1) = rho_a*a(k)*b(k)*cos(alpha(k)) * cos(alpha(k))*V(k)*V(k) +A(k, 2) = -rho_a*a(k)*b(k)*cos(alpha(k)) * (sin(alpha(k))*W(k)*W(k)*b(k)*b(k)/3) +B(k) = (2*rho_p)*b(k)*(a(k) + c(k) + L(k))*g +end + C = A\B % ingen ?r utel?mnad. + +% leave-one-out estimation +% leaving the first helicopter one out the first iteration, the second one the second iteration etc. +for q = 1:11 +A = circshift(A, [-1, 0]) +B = circshift(B, [-1,0]) +Atemp = A(1:10,:) +Btemp = B(1:10,:) +constants2(q,:) = Atemp\Btemp +end + + +%% + +C_dd1 = constants2(:,1) +C_dd2 = constants2(:,2) +C_dr1 = constants1(:,1) +C_dr2 = constants1(:,2) + + +vy = sqrt((2*rho_p*b*(a+c+L)*g/(rho_a*a*b*cos(alpha)^2.*C_dd1))/(1-C_dd2.*sin(alpha)*b^2*C_dr1*rho_a*a*b^2*sin(alpha)*cos(alpha)/(C_dd1*cos(alpha)*(C_dr2*rho_a*a*b^2*sin(alpha)*b^2/2 + C_dm*rho_a*(c*b^4/2+L*d^4/32))))); +omega = sqrt(vy^2 * C_dr1*rho_a*a*b^2.*sin(alpha).*cos(alpha)./(C_dr2.*rho_a.*a.*(b.^2).*sin(alpha).*b^2/3 + C_dm*rho_a*(c*b^4/3 + L*d^4/48))); From 3811ce81dd52f11f505a0f50a015042d133f0f15 Mon Sep 17 00:00:00 2001 From: juliafovaeus Date: Mon, 20 Feb 2017 13:00:03 +0100 Subject: [PATCH 12/16] Add files via upload Estimations of constants equation 1 ( moment) and equation 2 (force) --- matlab/estimations.m | 116 +++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 116 insertions(+) create mode 100644 matlab/estimations.m diff --git a/matlab/estimations.m b/matlab/estimations.m new file mode 100644 index 0000000..1ed8ca7 --- /dev/null +++ b/matlab/estimations.m @@ -0,0 +1,116 @@ +%% tningar: + +% fungerar inte ?n +data = xlsread('data1.xls') +%% + +%hastigheter +V = [2.2894; +2.1259; +2.2046; +1.9841; +2.8345; +1.9841; +2.1259; +2.2046; +1.7007; +2.0525; +1.9841]; + + +%vinkelfrekvenser +W = [47; + 31.924; + 72.736; + 54.603; + 50.292; + 39.341; + 59.929; + 56.118; + 39.404; + 53.296; + 44.972]; + +%vinklar +alpha = [0.3440 0.2867 0.3801 0.4130 0.7854 0.4999 0.3048 0.4434 0.4674 0.5124 0.3785]' % h?r beh?vs riktiga v?rden + + + +%% +H = helicopterData' +% en 11x5 matris med a, b, c, d, L i kolumnerna f?r varje helikopter + +A = ones(11, 2); +B = ones(11,1); + +a = H(:,1) +b = H(:,2) +c = H(:,3) +d = H(:,4) +L = H(:,5) + +rho_a = 1.293 + +%% for equation 1 + % Filling matrix A +for k = 1:11 +A(k, 1) = a(k)*b(k)*b(k)*sin(alpha(k))*(rho_a/2) * cos(alpha(k))*V(k)*V(k) +A(k, 2) = a(k)*b(k)*b(k)*sin(alpha(k))*(rho_a/2) * sin(alpha(k))*W(k)*W(k)*b(k)*b(k)/3 +B(k) = rho_a*W(k)*W(k)*(c(k)*(b(k)^4)/6 + L(k)*(d(k)^4)/96) +end + C = A\B % ingen ?r utel?mnad. + %% + % leaving one sample out of the experiment starting with leaving the last + % helicopter out + +for q = 1:11 +A = circshift(A, [-1, 0]) % leaving the first one out the first time +B = circshift(B, [-1,0]) +Atemp = A(1:10,:) +Btemp = B(1:10,:) +constants1(q,:) = Atemp\Btemp +end +%% h?r testas helikopter 1 d?r konstanterna ?r skattade mot det stickprov d?r nr 1 utel?mnats. + +for w = 1:11 +VL = A(w,1)*constants1(w,1) + A(w,2)*constants1(w,2) +HL = B(w) +test(w) = VL - HL +end + + + +%% for equation 2 + % Filling matrix A + g = 9.82; + rho_p = 0.080; + + +for k = 1:11 +A(k, 1) = rho_a*a(k)*b(k)*cos(alpha(k)) * cos(alpha(k))*V(k)*V(k) +A(k, 2) = -rho_a*a(k)*b(k)*cos(alpha(k)) * (sin(alpha(k))*W(k)*W(k)*b(k)*b(k)/3) +B(k) = (2*rho_p)*b(k)*(a(k) + c(k) + L(k))*g +end + C = A\B % ingen ?r utel?mnad. + +% leave-one-out estimation +% leaving the first helicopter one out the first iteration, the second one the second iteration etc. +for q = 1:11 +A = circshift(A, [-1, 0]) +B = circshift(B, [-1,0]) +Atemp = A(1:10,:) +Btemp = B(1:10,:) +constants2(q,:) = Atemp\Btemp +end + + +%% + +C_dd1 = constants2(:,1) +C_dd2 = constants2(:,2) +C_dr1 = constants1(:,1) +C_dr2 = constants1(:,2) + + +vy = sqrt((2*rho_p*b*(a+c+L)*g/(rho_a*a*b*cos(alpha)^2.*C_dd1))/(1-C_dd2.*sin(alpha)*b^2*C_dr1*rho_a*a*b^2*sin(alpha)*cos(alpha)/(C_dd1*cos(alpha)*(C_dr2*rho_a*a*b^2*sin(alpha)*b^2/2 + C_dm*rho_a*(c*b^4/2+L*d^4/32))))); +omega = sqrt(vy^2 * C_dr1*rho_a*a*b^2.*sin(alpha).*cos(alpha)./(C_dr2.*rho_a.*a.*(b.^2).*sin(alpha).*b^2/3 + C_dm*rho_a*(c*b^4/3 + L*d^4/48))); From 901c7da840d793c4c2ac7d4da1b1b37fd2540573 Mon Sep 17 00:00:00 2001 From: Jonathan Astermark Date: Mon, 20 Feb 2017 13:02:53 +0100 Subject: [PATCH 13/16] made some changes to get nice figures and plots --- matlab/getnicefigs.m | 29 + matlab/plots/filming_side.eps | 10854 ++++++++++++++++++ matlab/plots/filming_top.eps | 19072 ++++++++++++++++++++++++++++++++ matlab/plots/img_analysis.eps | 2666 +++++ matlab/readvideo2.m | 3 +- 5 files changed, 32622 insertions(+), 2 deletions(-) create mode 100644 matlab/getnicefigs.m create mode 100644 matlab/plots/filming_side.eps create mode 100644 matlab/plots/filming_top.eps create mode 100644 matlab/plots/img_analysis.eps diff --git a/matlab/getnicefigs.m b/matlab/getnicefigs.m new file mode 100644 index 0000000..ca217a5 --- /dev/null +++ b/matlab/getnicefigs.m @@ -0,0 +1,29 @@ +%% + +file = '../../Filmer/Helicopter1Top.mp4'; + +v = VideoReader(file); +ctr = 1; +frame = readFrame(v); +figure(1) +imagesc(frame) +print -depsc plots/filming_top.eps + +%% + +file = '../../Filmer/Hel1.mp4'; +startFrame = 50; + +v = VideoReader(file); +ctr = 1; +while hasFrame(v) && ctr < startFrame + frame = readFrame(v); + clear frame + ctr = ctr+1; +end + +frame = readFrame(v); +figure(1) +% imagesc(frame) +imagesc(frame) +print -depsc plots/filming_side.eps \ No newline at end of file diff --git a/matlab/plots/filming_side.eps b/matlab/plots/filming_side.eps new file mode 100644 index 0000000..90f9736 --- /dev/null +++ b/matlab/plots/filming_side.eps @@ -0,0 +1,10854 @@ +%!PS-Adobe-3.0 EPSF-3.0 +%%Creator: (MATLAB, The Mathworks, Inc. Version 9.1.0.441655 \(R2016b\). Operating System: Linux) +%%Title: plots/filming_side.eps +%%CreationDate: 2017-02-20T11:39:11 +%%Pages: (atend) +%%BoundingBox: 33 21 386 295 +%%LanguageLevel: 3 +%%EndComments +%%BeginProlog +%%BeginResource: procset (Apache XML Graphics Std ProcSet) 1.2 0 +%%Version: 1.2 0 +%%Copyright: (Copyright 2001-2003,2010 The Apache Software Foundation. License terms: http://www.apache.org/licenses/LICENSE-2.0) +/bd{bind def}bind def +/ld{load def}bd +/GR/grestore ld +/M/moveto ld +/LJ/setlinejoin ld +/C/curveto ld +/f/fill ld +/LW/setlinewidth ld +/GC/setgray ld +/t/show ld +/N/newpath ld +/CT/concat ld +/cp/closepath ld +/S/stroke ld +/L/lineto ld +/CC/setcmykcolor ld +/A/ashow ld +/GS/gsave ld +/RC/setrgbcolor ld +/RM/rmoveto ld +/ML/setmiterlimit ld +/re {4 2 roll M +1 index 0 rlineto +0 exch rlineto +neg 0 rlineto +cp } bd +/_ctm matrix def +/_tm matrix def +/BT { _ctm currentmatrix pop matrix _tm copy pop 0 0 moveto } bd +/ET { _ctm setmatrix } bd +/iTm { _ctm setmatrix _tm concat } bd +/Tm { _tm astore pop iTm 0 0 moveto } bd +/ux 0.0 def +/uy 0.0 def +/F { + /Tp exch def + /Tf exch def + Tf findfont Tp scalefont setfont + /cf Tf def /cs Tp def +} bd +/ULS {currentpoint /uy exch def /ux exch def} bd +/ULE { + /Tcx currentpoint pop def + gsave + newpath + cf findfont cs scalefont dup + /FontMatrix get 0 get /Ts exch def /FontInfo get dup + /UnderlinePosition get Ts mul /To exch def + /UnderlineThickness get Ts mul /Tt exch def + ux uy To add moveto Tcx uy To add lineto + Tt setlinewidth stroke + grestore +} bd +/OLE { + /Tcx currentpoint pop def + gsave + newpath + cf findfont cs scalefont dup + /FontMatrix get 0 get /Ts exch def /FontInfo get dup + /UnderlinePosition get Ts mul /To exch def + /UnderlineThickness get Ts mul /Tt exch def + ux uy To add cs add moveto Tcx uy To add cs add lineto + Tt setlinewidth stroke + grestore +} bd +/SOE { + /Tcx currentpoint pop def + gsave + newpath + cf findfont cs scalefont dup + /FontMatrix get 0 get /Ts exch def /FontInfo get dup + /UnderlinePosition get Ts mul /To exch def + /UnderlineThickness get Ts mul /Tt exch def + ux uy To add cs 10 mul 26 idiv add moveto Tcx uy To add cs 10 mul 26 idiv add lineto + Tt setlinewidth stroke + grestore +} bd +/QT { +/Y22 exch store +/X22 exch store +/Y21 exch store +/X21 exch store +currentpoint +/Y21 load 2 mul add 3 div exch +/X21 load 2 mul add 3 div exch +/X21 load 2 mul /X22 load add 3 div +/Y21 load 2 mul /Y22 load add 3 div +/X22 load /Y22 load curveto +} bd +/SSPD { +dup length /d exch dict def +{ +/v exch def +/k exch def +currentpagedevice k known { +/cpdv currentpagedevice k get def +v cpdv ne { +/upd false def +/nullv v type /nulltype eq def +/nullcpdv cpdv type /nulltype eq def +nullv nullcpdv or +{ +/upd true def +} { +/sametype v type cpdv type eq def +sametype { +v type /arraytype eq { +/vlen v length def +/cpdvlen cpdv length def +vlen cpdvlen eq { +0 1 vlen 1 sub { +/i exch def +/obj v i get def +/cpdobj cpdv i get def +obj cpdobj ne { +/upd true def +exit +} if +} for +} { +/upd true def +} ifelse +} { +v type /dicttype eq { +v { +/dv exch def +/dk exch def +/cpddv cpdv dk get def +dv cpddv ne { +/upd true def +exit +} if +} forall +} { +/upd true def +} ifelse +} ifelse +} if +} ifelse +upd true eq { +d k v put +} if +} if +} if +} forall +d length 0 gt { +d setpagedevice +} if +} bd +/RE { % /NewFontName [NewEncodingArray] /FontName RE - + findfont dup length dict begin + { + 1 index /FID ne + {def} {pop pop} ifelse + } forall + /Encoding exch def + /FontName 1 index def + currentdict definefont pop + end +} bind def +%%EndResource +%%BeginResource: procset (Apache XML Graphics EPS ProcSet) 1.0 0 +%%Version: 1.0 0 +%%Copyright: (Copyright 2002-2003 The Apache Software Foundation. License terms: http://www.apache.org/licenses/LICENSE-2.0) +/BeginEPSF { %def +/b4_Inc_state save def % Save state for cleanup +/dict_count countdictstack def % Count objects on dict stack +/op_count count 1 sub def % Count objects on operand stack +userdict begin % Push userdict on dict stack +/showpage { } def % Redefine showpage, { } = null proc +0 setgray 0 setlinecap % Prepare graphics state +1 setlinewidth 0 setlinejoin +10 setmiterlimit [ ] 0 setdash newpath +/languagelevel where % If level not equal to 1 then +{pop languagelevel % set strokeadjust and +1 ne % overprint to their defaults. +{false setstrokeadjust false setoverprint +} if +} if +} bd +/EndEPSF { %def +count op_count sub {pop} repeat % Clean up stacks +countdictstack dict_count sub {end} repeat +b4_Inc_state restore +} bd +%%EndResource +%FOPBeginFontDict +%%IncludeResource: font Courier-Bold +%%IncludeResource: font Helvetica +%%IncludeResource: font Courier-BoldOblique +%%IncludeResource: font Courier-Oblique +%%IncludeResource: font Times-Roman +%%IncludeResource: font Helvetica-BoldOblique +%%IncludeResource: font Helvetica-Bold +%%IncludeResource: font Helvetica-Oblique +%%IncludeResource: font Times-BoldItalic +%%IncludeResource: font Courier +%%IncludeResource: font Times-Italic +%%IncludeResource: font Times-Bold +%%IncludeResource: font Symbol +%%IncludeResource: font ZapfDingbats +%FOPEndFontDict +%%BeginResource: encoding WinAnsiEncoding +/WinAnsiEncoding [ +/.notdef /.notdef /.notdef /.notdef /.notdef +/.notdef /.notdef /.notdef /.notdef /.notdef +/.notdef /.notdef /.notdef /.notdef /.notdef +/.notdef /.notdef /.notdef /.notdef /.notdef +/.notdef /.notdef /.notdef /.notdef /.notdef +/.notdef /.notdef /.notdef /.notdef /.notdef +/.notdef /.notdef /space /exclam /quotedbl +/numbersign /dollar /percent /ampersand /quotesingle +/parenleft /parenright /asterisk /plus /comma +/hyphen /period /slash /zero /one +/two /three /four /five /six +/seven /eight /nine /colon /semicolon +/less /equal /greater /question /at +/A /B /C /D /E +/F /G /H /I /J +/K /L /M /N /O +/P /Q /R /S /T +/U /V /W /X /Y +/Z /bracketleft /backslash /bracketright /asciicircum +/underscore /quoteleft /a /b /c +/d /e /f /g /h +/i /j /k /l /m +/n /o /p /q /r +/s /t /u /v /w +/x /y /z /braceleft /bar +/braceright /asciitilde /bullet /Euro /bullet +/quotesinglbase /florin /quotedblbase /ellipsis /dagger +/daggerdbl /circumflex /perthousand /Scaron /guilsinglleft +/OE /bullet /Zcaron /bullet /bullet +/quoteleft /quoteright /quotedblleft /quotedblright /bullet +/endash /emdash /asciitilde /trademark /scaron +/guilsinglright /oe /bullet /zcaron /Ydieresis +/space /exclamdown /cent /sterling /currency +/yen /brokenbar /section /dieresis /copyright +/ordfeminine /guillemotleft /logicalnot /sfthyphen /registered +/macron /degree /plusminus /twosuperior /threesuperior +/acute /mu /paragraph /middot /cedilla +/onesuperior /ordmasculine /guillemotright /onequarter /onehalf +/threequarters /questiondown /Agrave /Aacute /Acircumflex +/Atilde /Adieresis /Aring /AE /Ccedilla +/Egrave /Eacute /Ecircumflex /Edieresis /Igrave +/Iacute /Icircumflex /Idieresis /Eth /Ntilde +/Ograve /Oacute /Ocircumflex /Otilde /Odieresis +/multiply /Oslash /Ugrave /Uacute /Ucircumflex +/Udieresis /Yacute /Thorn /germandbls /agrave +/aacute /acircumflex /atilde /adieresis /aring +/ae /ccedilla /egrave /eacute /ecircumflex +/edieresis /igrave /iacute /icircumflex /idieresis +/eth /ntilde /ograve /oacute /ocircumflex +/otilde /odieresis /divide /oslash /ugrave +/uacute /ucircumflex /udieresis /yacute /thorn +/ydieresis +] def +%%EndResource +%FOPBeginFontReencode +/Courier-Bold findfont +dup length dict begin + {1 index /FID ne {def} {pop pop} ifelse} forall + /Encoding WinAnsiEncoding def + currentdict +end +/Courier-Bold exch definefont pop +/Helvetica findfont +dup length dict begin + {1 index /FID ne {def} {pop pop} ifelse} forall + /Encoding WinAnsiEncoding def + currentdict +end +/Helvetica exch definefont pop +/Courier-BoldOblique findfont +dup length dict begin + {1 index /FID ne {def} {pop pop} ifelse} forall + /Encoding WinAnsiEncoding def + currentdict +end +/Courier-BoldOblique exch definefont pop +/Courier-Oblique findfont +dup length dict begin + {1 index /FID ne {def} {pop pop} ifelse} forall + /Encoding WinAnsiEncoding def + currentdict +end +/Courier-Oblique exch definefont pop +/Times-Roman findfont +dup length dict begin + {1 index /FID ne {def} {pop pop} ifelse} forall + /Encoding WinAnsiEncoding def + currentdict +end +/Times-Roman exch definefont pop +/Helvetica-BoldOblique findfont +dup length dict begin + {1 index /FID ne {def} {pop pop} ifelse} forall + /Encoding WinAnsiEncoding def + currentdict +end +/Helvetica-BoldOblique exch definefont pop +/Helvetica-Bold findfont +dup length dict begin + {1 index /FID ne {def} {pop pop} ifelse} forall + /Encoding WinAnsiEncoding def + currentdict +end +/Helvetica-Bold exch definefont pop +/Helvetica-Oblique findfont +dup length dict begin + {1 index /FID ne {def} {pop pop} ifelse} forall + /Encoding WinAnsiEncoding def + currentdict +end +/Helvetica-Oblique exch definefont pop +/Times-BoldItalic findfont +dup length dict begin + {1 index /FID ne {def} {pop pop} ifelse} forall + /Encoding WinAnsiEncoding def + currentdict +end +/Times-BoldItalic exch definefont pop +/Courier findfont +dup length dict begin + {1 index /FID ne {def} {pop pop} ifelse} forall + /Encoding WinAnsiEncoding def + currentdict +end +/Courier exch definefont pop +/Times-Italic findfont +dup length dict begin + {1 index /FID ne {def} {pop pop} ifelse} forall + /Encoding WinAnsiEncoding def + currentdict +end +/Times-Italic exch definefont pop +/Times-Bold findfont +dup length dict begin + {1 index /FID ne {def} {pop pop} ifelse} forall + /Encoding WinAnsiEncoding def + currentdict +end +/Times-Bold exch definefont pop +%FOPEndFontReencode +%%EndProlog +%%Page: 1 1 +%%PageBoundingBox: 0 0 426 318 +%%BeginPageSetup +[1 0 0 -1 0 318] CT +%%EndPageSetup +GS +[0.75 0 0 0.75 0 0] CT +1 GC +N +0 0 568 424 re +f +GR +GS +[0.75 0 0 0.75 0 0] CT +1 GC +N +0 0 568 424 re +f +GR +GS +[0.75 0 0 0.75 0 0] CT +1 GC +N +514 32 M +74 32 L +74 377 L +514 377 L +cp +f +GR +GS +[0.25781 0 0 0.35938 55.5 24] CT +[1 0 0 1 0 0] CT +N +0 0 M +1280 0 L +1280 720 L +0 720 L +cp +clip +GS +0 0 translate +1280 720 scale +%AXGBeginBitmap: java.awt.image.BufferedImage +{{ +/RawData currentfile /ASCII85Decode filter def +/Data RawData /FlateDecode filter def +/DeviceRGB setcolorspace +<< + /Decode [0 1 0 1 0 1] + /BitsPerComponent 8 + /Width 1280 + /ImageType 1 + /DataSource Data + /ImageMatrix [1280 0 0 720 0 0] + /Height 720 +>> image +} stopped {handleerror} if + RawData flushfile +} exec +Gb"-6LR/]VQL0YWI,Tt"8I-OdN.dJchNS*F&jkI6]r1A6T^]f*mp0A%YenPkRHa/(Be/jupWU9/DnYU8 +q0(iEgi_o;aJ;(!:X?[VCTlq@2f@E,9!['s0D@2<3d,Dkrl(0VFQ/DbkaCTq66'K5Vl`%n"L[RN*Q"I< +gD?H!f3\((JVu8/JWjALKZ2RKO6G6-,MjT4H+Mi'&1;bG2(`2!J8t1hcXGV3F'$Y+LF0.W[!8_o_uZ1_ 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+<< + /Decode [0 1 0 1 0 1] + /BitsPerComponent 8 + /Width 401 + /ImageType 1 + /DataSource Data + /ImageMatrix [401 0 0 351 0 0] + /Height 351 +>> image +} stopped {handleerror} if + RawData flushfile +} exec +Gb"0N=d%T#$j8iQs3dKXpqu-805:e]JWH38&-8Ki`t&.Mzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz +zzzzzzzzzzzzzJ/@bIJ'r69prq%pUu)@FNfPY_E<-/i?V>J@HP`V7;&3gO5p+J: +8"Z95t!IXfdA@ZI2p<1+ISZ[8:(1UUCE2D-H?GC10P<%G;f8[SaSNX+e-B>4k5?NG5q=X+ab(oPK;O!< +u#sV\X/tjb`O[_1?2fYFu_LJ)[/E97rQi1Ns;9nGEs#?O4;!1O%/PFldn&?R^IDn?9+].t#u>cR]%6D7 +-Es(H+'q[BKGjH&KCW:Y"agL!<:YJ.i@DG,1e!GL2(7L9eL.E]\Q[qrd7HA&',osM)#!Qb8oFXBQFOV_&4s +fESc5FUL#6bL3j2DYqZ[sLO_.',1EC%9[W`UZt>Ylsl.Fq,K(K=#iM%8c#K,Wu"d3O-R:`pc'qP8$=$D +_0"X7Ws=,O#3U.Xc4(830#C8tR%bQ-KrCdcUgqU]X#ooYnXpl1E=SI;s453^!VANt1SNVh\=;F+[!2!M +Wfpio%OmHK^[/34LW4*kJ1$%dlufLOf$E_0tS?`#QC?i3C*cl1Dn6]8HS,K.?-X`#QCNcKg'cl1Doa]U +=MdJjn,PaZ+Q+9@!p18uF'!fG1O#-!2aiSsY^cB@lIG54O>XMSsY^CpO%-T8Z*ruf^4q4%M +@st`#QD,_SMpK3^#4!4==9Z2R$6.V1HUgo7jmQF-+?SX/#37]F6 +9M"VhRP&!6#qinC6Am+s!>8@s=Lb*1dPX-Rc\$?]H-HSqmLs/%tLVhi@PUZ(bu^Gu4']$7,6Odor!g[V%Th-aA>]!Z^[9[iiCd28Qn5r2S'INB/h +/<*J^SmnjNOU^]#(V;+MH&=`srS\PkRX>HBH1,*?;f#Y!tIK[oi+CWSsT%Q*OA8Gmg0'2-eX3154.<>O +K_7iO\0sGp9r%-H?T+(\O-@%I#1H3cf&G0%`ToUt5^-PHLb.Uiuo7P]!AmV7-MbQEI1$UmD*UQYre;Um +D*u,@+CI$MY[-"meZ\!?4m=^io>bYSV]kCe&%;gJM"e?;q]E(OZJR7:-)Md9"+i<#2\SI0Jt+?NGN$=2 +8uY(9eU'"meZb!IN3q^iiZmYSV]kzzzzzzzzzzzzzzzzzzzz!!'fFrrMAmL+N~> + +%AXGEndBitmap +GR +GR +GS +[0.75 0 0 0.75 167.61012 183.2245] CT +1 0 0 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0 0.447 0.741 RC +1 LJ +0.667 LW +N +223.48 244.299 M +117.67 264.846 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0 0.447 0.741 RC +1 LJ +0.667 LW +N +223.48 244.299 M +329.29 223.753 L +S +GR +GS +[0.81172 0 0 0.73291 54.75 23.25] CT +[1 0 0 1 0 0] CT +N +0 0 M +401 0 L +401 351 L +0 351 L +cp +clip +GS +0 0 translate +401 351 scale +%AXGBeginBitmap: java.awt.image.BufferedImage +{{ +/RawData currentfile /ASCII85Decode filter def +/Data RawData /FlateDecode filter def +/DeviceRGB setcolorspace +<< + /Decode [0 1 0 1 0 1] + /BitsPerComponent 8 + /Width 401 + /ImageType 1 + /DataSource Data + /ImageMatrix [401 0 0 351 0 0] + /Height 351 +>> image +} stopped {handleerror} if + RawData flushfile +} exec +Gb"0N$'#rZ$j=BDs3ho4#]_mgjH7O7GcEqMU;c9(DZBb;zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz +zzzzzzzzzzzzz!1Wi].6RjM$X`p+Nrs@Yf)t9J!,as2=&'O8PpaVpi<&^-GcY.%+R\'4eSqqO7c8d:N` +G=,BtfSBM+jMB[J-Km2SNt-@Glb"n(#8j2a"?g]^.b"2%/m'I"`N2W#.0F%p[8O'=G-_%8R\_eis[Mc. +lGOl#4lu7>#a."'9R-'YUDQWo^KZNmo`n>gU*LiNS'9MBY)D;X$;_294"ZN/#/lbGo4s\=/hl0V`9bXb +'_9$s_8/%>u^ko1FL5X+l05>115Y4bISdeDr<&9l"N(UM%$;JsuHn\>"j!cKL[5X/o?L,@!Q4#:K0Q[T +--]h[:O&\q[,e:JfU!%B%cU_c,28W1L2JF6W&L=mQf$o.n,D+uS05DF*qK#&G\l_p*$5<,+d.+6aQ4^f +FSA3Z!;`R:$G>^ +F@sNHCBJPMS0aQ0o3cdd%*9dKLg>]m"E`\i7R'5/ +K\OEj2P8@`!QXB!AK2DSdFY>-PF,HGZe+-eM^N6fF)J)n%)fhm-Gn^SS!8.7)eRhb:O1?%j:*l@7&o$$ +W4mYTn/De[C\27(NWXOk:lfgB]I/Ha"*U4]f+G0J;16?-)E0MY2T(dT+APgPE7A#;aeF8NcLDU@sI@(CAPapDoi796Wt\gW9n2PN#SW/rW+$)*?W:'iDGHaB=!7e +EJZ("2JP8T#b6;h>A@%]pn`&cF.EKliMja_aEq-)cpndrBCIO\H-3Ug*N#FC;kZ@i1@=#th"OonIQfs% +%q89KF,kQ#>69F@^VO,Io$>#rG4Tm=fXE&#FohQ-KL.UtbT>3gaR.g&-t-!WpfX]-A?]k,W^Z-;"Rg + +%AXGEndBitmap +GR +GR +GS +[0.75 0 0 0.75 171.35717 181.49736] CT +1 0 0 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0 0.447 0.741 RC +1 LJ +0.667 LW +N +228.476 241.996 M +120.248 242.425 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0 0.447 0.741 RC +1 LJ +0.667 LW +N +228.476 241.996 M +336.705 241.568 L +S +GR +GS +[0.81172 0 0 0.73291 54.75 23.25] CT +[1 0 0 1 0 0] CT +N +0 0 M +401 0 L +401 351 L +0 351 L +cp +clip +GS +0 0 translate +401 351 scale +%AXGBeginBitmap: java.awt.image.BufferedImage +{{ +/RawData currentfile /ASCII85Decode filter def +/Data RawData /FlateDecode filter def +/DeviceRGB setcolorspace +<< + /Decode [0 1 0 1 0 1] + /BitsPerComponent 8 + /Width 401 + /ImageType 1 + /DataSource Data + /ImageMatrix [401 0 0 351 0 0] + /Height 351 +>> image +} stopped {handleerror} if + RawData flushfile +} exec +Gb"0N$Z=]a$j9D_s3`J#([))q@p;S9=*j<8_ICHOirB&Zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz +zzzzzzzzzzz!!([.O2%N`"7V-h?V%p>i4#nUb%(P%I(NH\$^fkoZ*IOueuN:l[=FLNpW@"IS^*1ZeH.c +`fdi6i<*M4\-655gPbXRo[iOo>m3OCu@>fp*CccB$&\"9qKC_JjRF8*VBS;#_5GABl9 +R]EC]Bl)BHZ#lhZmZ9g*\tDC$;AlqN+`^X\-XE]P2[lD +OQCpOT;GHSL6c0X)Vf\cXh)pAUqgiAD8ehuU6f%8t7(Q:^$/n\'%gK>fQ!-`hT3?@e0LWKMCC&lL99'- +E8[mt!+oL5tHshtVX55+T-`mgb-:kW22*uOZ;-XZsDUf,Jn:nO$+=5jDD[>T5qSRu$kuRaO#]$:-KKA?ur??n=fjJ7!FJV0s1\d'WTMR[Q=A51oP6Lj1UPDAM%FVf(H5cG&R7!H +cW),g/%[.(n:n6R'PEelW$>Ib)\^aKkq&NoVApD@XE9QN5uWfg=">:4Zr34-AAMO0R,K:&jzzzz +zzzzzzzzzzzzzzzzzzzzJ@GI[N + +%AXGEndBitmap +GR +GR +GS +[0.75 0 0 0.75 174.75344 180.62601] CT +1 0 0 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0 0.447 0.741 RC +1 LJ +0.667 LW +N +233.005 240.835 M +127.031 220.986 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0 0.447 0.741 RC +1 LJ +0.667 LW +N +233.005 240.835 M +338.978 260.683 L +S +GR +GS +[0.81172 0 0 0.73291 54.75 23.25] CT +[1 0 0 1 0 0] CT +N +0 0 M +401 0 L +401 351 L +0 351 L +cp +clip +GS +0 0 translate +401 351 scale +%AXGBeginBitmap: java.awt.image.BufferedImage +{{ +/RawData currentfile /ASCII85Decode filter def +/Data RawData /FlateDecode filter def +/DeviceRGB setcolorspace +<< + /Decode [0 1 0 1 0 1] + /BitsPerComponent 8 + /Width 401 + /ImageType 1 + /DataSource Data + /ImageMatrix [401 0 0 351 0 0] + /Height 351 +>> image +} stopped {handleerror} if + RawData flushfile +} exec +Gb"0N6'<0I$j8iqs3n<@$%'S;)Rgt'"cA_'4uWg:rV?Ztzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz +zzzzzzzzzz!5N\`?XLR_!7Q8DL!W;_I$.W);ngASQ+3LA$G55@$0si25&$ +Z&A5qJ6UH%0h?U*^e`Af0i!$<^e`Af0i<6E^dI@4QmfW]i1Y6U%$b-,n5-\;-;*_0pdr%?`^qfdGUQi. +6`&B9>YB:Y;!G@f&#JT#W:X8DC[#^R._QVU>.P[88oFpDO=l9ud[L9?V7U07oNHc\l#)k=]c#a3\f6Ar +Y6DG%mY8:#RfP.;Md`d\Aq19R@[J[Z);n]0)s0b2#.TaIL:Pa%q)7MN+>-k+_iH[DIOQs;q@Ha(]GXX$"@bs)@^46#Zh%V@ +9^+(/@8&XKq?l,#cD83,H3UU9oG'RWO>/E=Xr_bN^;=(a)=sKWcN-3pq@F`0AB^t$Acb%d?fBlP)=o_D +_L[]BYOIT?`dGhTLgV$SS7-Tb&oCdfA;=DsAB])m\\U+X>[6HZlN@L+sXC;hVf)Nbd%5bE/U +e4?JCoL\dOJTQQ1T6/s)84NsX8bYr1FG)oOFPdd'7gQIo=3eG+q#RVGPuAeG+j_Um2`9#4!_q*S;^7hW +cmRX."k!taIF&Q8V[Om9=N2Ndbt5_d]N,PFE0W3\p.PJ:(G?9GL%efR/o&,qKYLj1E\.& +5lZq+#FHgn8UmP"!&fokWc.,=J8M56?m?!cfSGst2PR1$NT_cu05:jHLmeB'U8EISBIWu^zzzzzzzzzz +zzzzzzzzzzzz!!)d)#MUqW~> + +%AXGEndBitmap +GR +GR +GS +[0.75 0 0 0.75 178.14624 180.33503] CT +1 0 0 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0 0.447 0.741 RC +1 LJ +0.667 LW +N +237.528 240.447 M +138.973 200.062 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0 0.447 0.741 RC +1 LJ +0.667 LW +N +237.528 240.447 M +336.083 280.831 L +S +GR +GS +[0.81172 0 0 0.73291 54.75 23.25] CT +[1 0 0 1 0 0] CT +N +0 0 M +401 0 L +401 351 L +0 351 L +cp +clip +GS +0 0 translate +401 351 scale +%AXGBeginBitmap: java.awt.image.BufferedImage +{{ +/RawData currentfile /ASCII85Decode filter def +/Data RawData /FlateDecode filter def +/DeviceRGB setcolorspace +<< + /Decode [0 1 0 1 0 1] + /BitsPerComponent 8 + /Width 401 + /ImageType 1 + /DataSource Data + /ImageMatrix [401 0 0 351 0 0] + /Height 351 +>> image +} stopped {handleerror} if + RawData flushfile +} exec +Gb"0N;%=:#&-YAfIq_qSI&"Yl=)*JG'=;,Io#D7@zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz +zzzz!!!"L,sVF.r]5R:r`gr?!d=KYMc:'$HC(1ZH50gl?(I+(4CCt@Rg\KfJL,GTm\j1i2UnS6VB-@pX +)?-mopifbF^XX<(Bn-ElgdG,.e$&9QRD&qJLB`i]Me2*4Ai$*r`P'U`uRQ;f8lA^@1lC;[h2[6FaF0_Lr(q?HgabG+Oi0l\S)sWE6C[.E@W +FlG'W*?R'Sf,&5DTS&fB&J]\,tmNkJNN._/?*7dm\j?qUn/I6UMe2FH>2;h3[B(;V1B$>OR/s5"tliAZ +DV"I\=a>RSpG,/JiY0(lD9%>lB(A3QNf(@6aE^5)n;ONae!fmi.=!8Hg7GY$gNi?WL!fAW'dkg?5g>H% +`t;gC#FS(,cg48JZ64)X6Qs@WOa:SlEPo>\g"3?Z%8mc,-1"6JZ64)X6Qs@WOa:SlEPo>\g#no]n);,+ +ku:qJWVu:gZlJ'WOa:SlEPo>\g"3?Z%8mc,-1"6JZ64)X6Qs@WOa:SlEPo>\g!c?r_(%FFU\89%t2ObI +g?"H00AIm3CDEMJFE)@QalOTG;b5.&+sMSFgiO;lLEd7I+dKFGNQ&S5@@K^S>gg!?s?p-Oa9,t>@!e^H +9>S>?(Is@5@@K^S>gg!?r`bfWHpd:@!e^H9>S>?(I+(4 +nKHX-WniFa23^b5m/T4Ql"kJ3Y-HF +7jQ=TFT;YH9!*ELZ_pU*"]'dF08gZ#h7fn="ad]lL:=EQNI;3Gg=j_!J*9okN_/Z5TQG;ol< + +%AXGEndBitmap +GR +GR +GS +[0.75 0 0 0.75 181.82041 180.4186] CT +1 0 0 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0 0.447 0.741 RC +1 LJ +0.667 LW +N +242.427 240.558 M +157.861 179.573 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0 0.447 0.741 RC +1 LJ +0.667 LW +N +242.427 240.558 M +326.994 301.543 L +S +GR +GS +[0.81172 0 0 0.73291 54.75 23.25] CT +[1 0 0 1 0 0] CT +N +0 0 M +401 0 L +401 351 L +0 351 L +cp +clip +GS +0 0 translate +401 351 scale +%AXGBeginBitmap: java.awt.image.BufferedImage +{{ +/RawData currentfile /ASCII85Decode filter def +/Data RawData /FlateDecode filter def +/DeviceRGB setcolorspace +<< + /Decode [0 1 0 1 0 1] + /BitsPerComponent 8 + /Width 401 + /ImageType 1 + /DataSource Data + /ImageMatrix [401 0 0 351 0 0] + /Height 351 +>> image +} stopped {handleerror} if + RawData flushfile +} exec +Gb"0R6&Jo=&-YAUs3_egZd:t4WNM1NY:n*p&A3^\jGtA_zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz +zzzzzzz!!)N_q"^EU(4\(9HpN0*^b;n`9#Q88gTaX1i3M$BaVV0o[9!\>%(b4Eq#XAmW/!Yc&&U]R!F_;&u$LoqK6f\h< +U>7=dmM@-6!t!fQ?Zbc;N`(=du(="ansWU$ja*Ym=*f4A:%.'TW[be/7!?r7r3H1doIQF\\!l;<*aF^8 +%tUB4Zb]$.2k"W#X>R9)$K/?/e.Y?hpaeG4A[]c$;gl5I@3*XVU`#Hg]0;*?Q/FfPt9>5p&gW@kr@*l +;lBbtaVI^0XrG["ITJ(6=T%oA&HC\90mLT9D,-hTC5a/QE;P'SD3;q*]$SpDu]=*Nl_lG8!K?(a.,ZN6 +&s4f@TDJ?.tr%&bNVY,[\,Wnn8rW_Uj=H9^>f3]X,'rICs6jIE7E"0SYfF/n(-\>iu +;cm\tPSWnn8rW_Uj=H9^>f3]X,'rICs6jIE7E"7E.81SCSc>WHpeeW]E/J:$S<%&bNVm\tOhTUl_)Vs_ +f[H:$PQ3]8eZ'nK$CfF4]+"KnbgF/n(-\?2pZqs*9n;I,r6Ws8`QFbd])SdP6DFd)ep4V.%ml99WiScn +h1Ff#)4*WpYM\lb+!]L/lQa,qq2M=_.",09m-9! + +%AXGEndBitmap +GR +GR +GS +[0.75 0 0 0.75 185.35454 181.53773] CT +1 0 0 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0 0.447 0.741 RC +1 LJ +0.667 LW +N +247.139 242.05 M +310.863 321.037 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0 0.447 0.741 RC +1 LJ +0.667 LW +N +247.139 242.05 M +183.416 163.064 L +S +GR +GS +[0.81172 0 0 0.73291 54.75 23.25] CT +[1 0 0 1 0 0] CT +N +0 0 M +401 0 L +401 351 L +0 351 L +cp +clip +GS +0 0 translate +401 351 scale +%AXGBeginBitmap: java.awt.image.BufferedImage +{{ +/RawData currentfile /ASCII85Decode filter def +/Data RawData /FlateDecode filter def +/DeviceRGB setcolorspace +<< + /Decode [0 1 0 1 0 1] + /BitsPerComponent 8 + /Width 401 + /ImageType 1 + /DataSource Data + /ImageMatrix [401 0 0 351 0 0] + /Height 351 +>> image +} stopped {handleerror} if + RawData flushfile +} exec +Gb"0Q;2Q>p&4JnPJ($/B`e.ZpRBFi:;\('QOPGm!q;V\[zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz +zzzzz!!(g8kKfdn#ln?0q3h(-J.J8a9!s1>q+doB$[@72]b2q?nP69@$b4k\Z@iUq_-jI"$eVnM/E$Yr +lm5<7J6CX?&h[S7D7pQ7i-k>I9=9:cP$SG2E(uh's4&n*B;f&-Tj@eF]"1e3X&f=nW%QQVeCsta;eP?! +lB-TeW)N>WH7bdh([.T>2P +(=gk8oBNJpWHSO.eQl"]uZ@iU!>tC9#!K#"5;D$gU +D^J,eJ3/`99=TKk%/*<'J8H7I;Cu:u;R1r`fW^eqilVVIIgeH4TOBZ2qA\:=t@AGoDE!$%cZeUQj%J2>]WqFs*Wn7Zs=5$+oh4B*?!5H9J>*iI<3fBS'?#H<@J[c^-ZD&BT=Abu- +9>)i0YO9Q!H<4KCSX(l#Y/%]].uW\,JU)B>[a_nj/*aKXWHSO.eQpj+mg@:>]<\B,(780IAP9]e0X'oe +U3^!N?JUkuorc*C\gr^(Bn:PP=16Vj!qY][/?5TOk1*bj;XXs/WU$ja*YhdV#A.($-a9c!bbTPXi!smD +B%/=4\#PY`Y'N=jDKU*)X-WoDFadXt%gKu;#ed*A$[@=c7Gh"("?]3qUp&;V!KU/ll#5j(J1%A?oXT8_ +i6ggXrMCV<3'\La&+pRN1$W$.(%<-`!m[NA^f_oj30%;GB9=b'3-kau7C%HMkS8%V]`O3==hn24$93rM +!G@NGi%/=@*(QuYZR?Q-(9mo@zzzzzzzzzzzzzzz!!%OVrW.d4+/f~> + +%AXGEndBitmap +GR +GR +GS +[0.75 0 0 0.75 187.85392 182.89199] CT +1 0 0 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0 0.447 0.741 RC +1 LJ +0.667 LW +N +250.472 243.856 M +287.667 335.625 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0 0.447 0.741 RC +1 LJ +0.667 LW +N +250.472 243.856 M +213.277 152.087 L +S +GR +GS +[0.81172 0 0 0.73291 54.75 23.25] CT +[1 0 0 1 0 0] CT +N +0 0 M +401 0 L +401 351 L +0 351 L +cp +clip +GS +0 0 translate +401 351 scale +%AXGBeginBitmap: java.awt.image.BufferedImage +{{ +/RawData currentfile /ASCII85Decode filter def +/Data RawData /FlateDecode filter def +/DeviceRGB setcolorspace +<< + /Decode [0 1 0 1 0 1] + /BitsPerComponent 8 + /Width 401 + /ImageType 1 + /DataSource Data + /ImageMatrix [401 0 0 351 0 0] + /Height 351 +>> image +} stopped {handleerror} if + RawData flushfile +} exec +Gb"0P_.juP'Lfk9s%hei!me^8Z#@+IeV@*u2%b2>3'Vilzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz +zzzzz!!'g@r;=J,T)]Auq7?FG^q]2%Z;_418/;_gnm8:2YfWbK +W>;_nem>;_VZ!OCFE79GUdOWiLXpL;g>/9m?Z2.fj"#)t\WqYdAJ4HXRomqE%i/-_S +IB"=mGbVcC?`<,g*i':o\'uW']t-S7WRh2DFb-]o2ZkgXI]f`<"&>ntF%\Y;E),5Y2gcDd-7m]%dX>.lk69:_0nlFhaQl@]<*aam[]KUc*3 +%4k>2jICO1@#_`DLX\*^bLAQ*X'QUpU/&laorc(_F^5c`k6/5o1UBum-#c1VRPj@FJTL,5gf!T:ZcjT-q +D6d+KfP5];<"%>k8$Z)%fORpd<"%>h?aYOp=AH/P6+/+5\:B8CoLcE>--l-T[=J-Lp.D`C43mRm\:AA3 +?:bq%P."H,eJeKEe?+$q0*+1@?)\@aP5rp/pZVeQ,eudtEV`Wt%.GfjPJ1'N"?]+YUDMEY!N!@m=4E]? +NOh:)e]RuE3]sn$irM[#agnJ/%lgKTbo684^ijj4(9?U$2Q?kc76N-)93mlilV67uWor,YqF^Puck6/5o1UBb<,]H(URUtb-JOA_T/5T+J**"BLQ?kY9:l"5.H8ZmE +kN?FL?pLfRcjT- + +%AXGEndBitmap +GR +GR +GS +[0.75 0 0 0.75 188.90028 184.24436] CT +1 0 0 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0 0.447 0.741 RC +1 LJ +0.667 LW +N +251.867 245.659 M +259.828 343.115 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0 0.447 0.741 RC +1 LJ +0.667 LW +N +251.867 245.659 M +243.906 148.203 L +S +GR +GS +[0.81172 0 0 0.73291 54.75 23.25] CT +[1 0 0 1 0 0] CT +N +0 0 M +401 0 L +401 351 L +0 351 L +cp +clip +GS +0 0 translate +401 351 scale +%AXGBeginBitmap: java.awt.image.BufferedImage +{{ +/RawData currentfile /ASCII85Decode filter def +/Data RawData /FlateDecode filter def +/DeviceRGB setcolorspace +<< + /Decode [0 1 0 1 0 1] + /BitsPerComponent 8 + /Width 401 + /ImageType 1 + /DataSource Data + /ImageMatrix [401 0 0 351 0 0] + /Height 351 +>> image +} stopped {handleerror} if + RawData flushfile +} exec +Gb"0N;/R=E'Eg_Zs3b3j1=iZp9B:3djYRNgJjOnHNun?%zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz +zzzzz!!#:BkMPPb!+5Qt83I=:F&@?)&?*LQUco;+<@;F3qEeRbh4"l=$\;/tE]0jL +"@gq`=]PJ,N2i)J6%'n1W_UhDonC2[3]S//(BS[ChJ?"q#`PdIZU'!_0W4?`#5*\cW&cpXe/&1]lK#%H +rr].KeQGoP#>D2!Z`=!8Qr[:$8UVWkW5Gs;4qF#]=(b*Q*Y>9fZ_TbqQr[:$8UVWkW5Gs;4qF#]=(b*Q +*\a_!cDp_*?s6j,-1uOKUMeCHokcshDU6Mk_gki0TkDn?!Okn'kSkTOl]ZiND]eT)"*Z"!LJWXE"K\a:8(Y& +61bLDKie?\d4=,t@Kd`>XFO6*'lX_t!Y-DT^d04R3/D)GVqBEJeH0>R(3#@pa\j_Kh'<@faPLI,(@Y@f +"WV'"Z;_4amN&-%/`7Z+h(-SK[MXgcC'!WI@jP9n2=mYB/`<)+=!-]L`i4eJ?4]] + +%AXGEndBitmap +GR +GR +GS +[0.75 0 0 0.75 188.93274 184.79241] CT +1 0 0 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0 0.447 0.741 RC +1 LJ +0.667 LW +N +251.91 246.39 M +230.745 342.224 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0 0.447 0.741 RC +1 LJ +0.667 LW +N +251.91 246.39 M +273.076 150.556 L +S +GR +GS +[0.81172 0 0 0.73291 54.75 23.25] CT +[1 0 0 1 0 0] CT +N +0 0 M +401 0 L +401 351 L +0 351 L +cp +clip +GS +0 0 translate +401 351 scale +%AXGBeginBitmap: java.awt.image.BufferedImage +{{ +/RawData currentfile /ASCII85Decode filter def +/Data RawData /FlateDecode filter def +/DeviceRGB setcolorspace +<< + /Decode [0 1 0 1 0 1] + /BitsPerComponent 8 + /Width 401 + /ImageType 1 + /DataSource Data + /ImageMatrix [401 0 0 351 0 0] + /Height 351 +>> image +} stopped {handleerror} if + RawData flushfile +} exec +Gb"0N99*7Y$jAraJ(*sROpqNL.c+7!j9$T,5b::@p]1?pzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz +zzzzzzz!!!#7Da49#%fuIZcYq8CJ1L-^cT34<2p,7`+LhO>ei.q;Fq +WX<*/@7l7mgKl8!dg*X5`B%amm2'%![@FJ,34kg^\7:eq8el4+i5VZKnt;`%MC"DgreBVZ[UfV5Or<4r +sL6CjjMH7**S3^m!?:;@3ZMPf[0J/.>`:";<+>LYMKWCI#uW,"4imf[H(f4^s$$.tuTd8[dmYXMimOa8 +9\Mn2A&oglk6FcAlUOao%K)GSaD!F+&2)Q?4.[]!su;NCrs;:fKW*XUJnY0fd''!OnIUlfsK@#MTc,P= +UC(3PU+lB-Tcl6&5j0*Eh(#AKtT$.tuTd7?D5YXfe1a6JA/7Hu"Te0=uue28/D7fp,tCG\qM">!FUl*5 +OX@$eGrO4=U=>LYMKWCI"jW)GNQmf\m?!ZepSo2(@eH8,)qBLb]m)kF(3Ng;V;;r3]t,_tpZnf)=5Y[q^q#5c2iQ<4rsL6Cjjkl@jaWl6( +MW?3OH2NmiLC-%PCJ9$%cd5cK8Q;(CKnA.#gYJHB^WYCKi%D63@:Ga4WI8[-FWdiPT!:/ +-;qO;dM@%B>OIoC7fXA`crJU/AFQb#a!eFNZue3SD^?3jZ/%ank[6GOdfO@JMtJ1^%)NRT0R>LYMKWCI +#uW,"4imf]^gVeE*e$!!@uYK3`&TUo]co,W2B +]CFb^IV;ZXSC6O2nUJ/.>`*N5k;H?FuQe5HC]\jH_fWIS=2Tel@F5cg!mR,SkJ63hcA+a4pW@lQ&H8)!k([+sa(f74?F@Ek\OK%hm7D0S#WUk +1"]bup2o5dbl)pkP(>d&>]?;*>lFW7uAj4WDbHgN-Z6*"]'dF'ZI!d&>]?;*>lFW7uAj4W=s2_fK ++s*71Y=F&>(>d&>]??+h3hW5E[^]c7T^_t0+=4Q+]Rl9(ma&, + +%AXGEndBitmap +GR +GR +GS +[0.75 0 0 0.75 188.82429 184.82486] CT +1 0 0 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0 0.447 0.741 RC +1 LJ +0.667 LW +N +251.766 246.433 M +201.467 332.96 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0 0.447 0.741 RC +1 LJ +0.667 LW +N +251.766 246.433 M +302.064 159.907 L +S +GR +GS +[0.81172 0 0 0.73291 54.75 23.25] CT +[1 0 0 1 0 0] CT +N +0 0 M +401 0 L +401 351 L +0 351 L +cp +clip +GS +0 0 translate +401 351 scale +%AXGBeginBitmap: java.awt.image.BufferedImage +{{ +/RawData currentfile /ASCII85Decode filter def +/Data RawData /FlateDecode filter def +/DeviceRGB setcolorspace +<< + /Decode [0 1 0 1 0 1] + /BitsPerComponent 8 + /Width 401 + /ImageType 1 + /DataSource Data + /ImageMatrix [401 0 0 351 0 0] + /Height 351 +>> image +} stopped {handleerror} if + RawData flushfile +} exec +Gb"0N;7;rb&-YAgJ(*FrqrlG7N6'EYYl_F`.Y%Buzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz +zzzzzz!!)f3J$7?D"n9!fZ+=!7MnoA2%D=g+*Wqe4Y12@o4b1rF7(lDm!fU/-l@jNs@'7(:0@Z0cF4G\ +bX^2/JWfGPhl=#4"l7sBZ[fOLJZZN#""rO8`dR$)-0MC5tKmFeJQF]WqofU#@Fd!U+H%9&_-8!a=!410 +L>,^TbAuV9,:sT6f;E&<`Sd1XZDULj7%kpZ4Ua,Oj^c6J&Nmue`Zd_]QW941nWLL7kcNDBh2eetW#FM? +*dR$)-0MC5tKmFeJQF]WqofU#@Fd!U+H%9&_-8!a=!410L3`9kuN)OBR8A,Hd:7\4+oesTFFdA';gAp9 +`=ZTH!"'k17&%lZ)8XIa,K^,:Z>Wjc[R5u^>W&Fo5;s36%l@FL:eOB;DH=5YdF\_@$D[]mJcH.*lNIf: +&3OqMj0lWOA-[2LJ#-Lh4j$[:l?Rn_l6\+4o)Q,H9j4LY!=#NUZrSg_$rR= +EX^28MU^kgV]aukg*Mg)h+^gBm88Ilb^`[c]f'7s>.I%hB;NCrS;:k#rH6cmU\jiUI,6:`m2*.QT$(.H +id4+`Z^_CpN:8p_b7]97-!T0Ld%5P8+BD!G:V@MTX!>!L?42S>&_^0e"dJ9RD6!mD8p,] +neUmn!\j5$8_15EhTPa@05c2iQ46k(@9V%f"e=-K,3^<)32ZkgXIbmq?"uPW=]VFTagZo5d0V&L3b=WKK;P7eN3dVe1!GZh?fRDY0e] +k8AH?jOOi]NJ6D.a/_'@lj4%3m;JuY2<0ui>oe=0dFe + +%AXGEndBitmap +GR +GR +GS +[0.75 0 0 0.75 188.96115 184.1801] CT +1 0 0 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0 0.447 0.741 RC +1 LJ +0.667 LW +N +251.948 245.573 M +175.396 314.653 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0 0.447 0.741 RC +1 LJ +0.667 LW +N +251.948 245.573 M +328.5 176.494 L +S +GR +GS +[0.81172 0 0 0.73291 54.75 23.25] CT +[1 0 0 1 0 0] CT +N +0 0 M +401 0 L +401 351 L +0 351 L +cp +clip +GS +0 0 translate +401 351 scale +%AXGBeginBitmap: java.awt.image.BufferedImage +{{ +/RawData currentfile /ASCII85Decode filter def +/Data RawData /FlateDecode filter def +/DeviceRGB setcolorspace +<< + /Decode [0 1 0 1 0 1] + /BitsPerComponent 8 + /Width 401 + /ImageType 1 + /DataSource Data + /ImageMatrix [401 0 0 351 0 0] + /Height 351 +>> image +} stopped {handleerror} if + RawData flushfile +} exec +Gb"0N$Z=`R&-L;7s3`@m6&R#Cm+RcDdJ1BW(bu?WgD^+mzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz +zzzzzzzzzzzz!!#j@q_.28!'KfN8GZ0`O$0!agBH+!rF?cuTTiM)bBb!@_"fs +OkZ>:>]^t?=U>eiIcp<%=T1X)FAgBA"mCpFHcE7*[Y10hU0WQDGO^es@,qB-d_:gJCD5"k&>Pa7o>cdI +(=V55R)JTN/&;<`(H/=d,E<-k)6.if$p:3r4t8B1h^P2;u^dd[=FUc7OpF?Df3ks9Ve3[EX6WT?jVclp +=,)OP/DL"DC3Bqp+pQtgAoQOV5_f7+S2`i-ICmIIW8)=P^d!oFqs\uG)2YTKp:L^n[W_"LLiq!!jCGNo +[RF(79kYO'lU]Zd%l!"Y#?j1Ns(qXO\$Xp"YZ]TQd:^S>ALK,Y``bu(V#fD5llI1.dnO:Q4\F\9/rFMG +FZh\/%DpUd-k8YNJ4^Um(p'08e\]:njgTsJjU)bQ_:g.I^DU%CpMZZNr$8tQgO8sd/`oLYa_FMGFZh\/ +%DpUd-k8YNJ4^Um(p'08e\]:njgTsJjU]1Lln3_T4ZS+Jk;\TGg&8`(1B9D?&loLYa_FMEm9s5WYs#dfJ8Wto0n[O1sKAL3Yb9Z?)ri#`QBPI"dN094gKQP61m7_fK-F3?TG-4QiQ)!s6ogF&G%W+="Q_-`(;T@aajh7QN=J-9XSKV#pg_dL1/!3\V +[*]g.@L!s=_7$Zo''/Kc^[6O0E^!qOc$F?hl:TS2qO]d+U2:do\i?BPd)W$8oE01gp%'TsN5-dqMb[A5 +bGM0(jF3U']C:-'>eU@^5>=#q1kY4Oo+QHfTb5^KC.8LFQ*+h^m*UgjCJ@]t;VR4M`-p'TH:aT?WrZ@G +Z;/7:sp$eU]W!d8+[J5)F_?q9ntzzzzzzzzzzzzzzzzzzzzzzz!!(Zj&,iUK4T~> + +%AXGEndBitmap +GR +GR +GS +[0.75 0 0 0.75 189.32269 182.99381] CT +1 0 0 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0 0.447 0.741 RC +1 LJ +0.667 LW +N +252.43 243.992 M +155.685 287.798 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0 0.447 0.741 RC +1 LJ +0.667 LW +N +252.43 243.992 M +349.176 200.185 L +S +GR +GS +[0.81172 0 0 0.73291 54.75 23.25] CT +[1 0 0 1 0 0] CT +N +0 0 M +401 0 L +401 351 L +0 351 L +cp +clip +GS +0 0 translate +401 351 scale +%AXGBeginBitmap: java.awt.image.BufferedImage +{{ +/RawData currentfile /ASCII85Decode filter def +/Data RawData /FlateDecode filter def +/DeviceRGB setcolorspace +<< + /Decode [0 1 0 1 0 1] + /BitsPerComponent 8 + /Width 401 + /ImageType 1 + /DataSource Data + /ImageMatrix [401 0 0 351 0 0] + /Height 351 +>> image +} stopped {handleerror} if + RawData flushfile +} exec +Gb"0N=a&RS$j8iQs3f#1nr^obbZKJL!a'RH1r72d)ZTjV4m*^:ICK(2u3nn!0pW",uL8/,*dJ;V9Qf3kp-I +>/u;e:$V:n:KHecYb=WW5'F,uL4p(2lLL?ieLN*8WNaS9ih*teXqoeq@@-#nYIIT;iIT%l]::JPiA_(* +!peAP3EuF!=cS1>(+\ioYk[Cf"G[5R\t[BIi`B\_bmup[;3<**YKa@tGi5Qd*Ij_rS>riF="H!!;baSt +XTNejf^T38`[T[Nn56XPO#;nq^*DRFFLe#Z)X!iC_7%d_re@;,/mTRc-=,j(Bc:X#*ao<<.Nd%pcEa"X +<9Y#;f/1e4rPBE9magTh.(+'Y/)Aogm1Q8i&"TNnMN\4I8sbfel!FERUmoLKl+[4BQgQ:%8:LlS[<+_1 +?i!:.IAP]?-dnUgDCSpd^6JU8E'*;^njrV$^l>/UaE-T1!dBdp+tlN;'=`a<&U@CQVnam[Mo_sI56YpJ +>sr"ar[DdokosGC?EWoZJ\+HsZ.Q^2O^A.`PceN$Go7Fu#Iq-lnMukiJJa3?DO]9b]no$;SWbX\+P[tmr2tJ(iNPW:R^ef$W=cb$`\MZpSV+L5A]>j +Wg;lJ'J&@%*F."@.K^_;&clUF/SUL<%hbBS`[`KPXk"#G*?I+9Eb\4B?fGAWiF*CRBBQMk)uS*0Gh>O^ +($aQM^6?H8/ilKC>MjXFfZL%gWE8E_:(Fm=E2d"T^ZjCTVp4\\h`B$k)fi-2lSp]eah<#toa'doJ8a*< +A-))-=$Sk8(!ql&"gm;r!PLHq5WeBKd#35S[,YHn]f9.[473j1Mj";Ezzzzzzzzzzzzzzzzzzzzzzzzz +z!%\!N3Q)[>~> + +%AXGEndBitmap +GR +GR +GS +[0.75 0 0 0.75 190.21338 182.02922] CT +1 0 0 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0 0.447 0.741 RC +1 LJ +0.667 LW +N +253.618 242.706 M +146.376 255.877 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0 0.447 0.741 RC +1 LJ +0.667 LW +N +253.618 242.706 M +360.86 229.535 L +S +GR +GS +[0.81172 0 0 0.73291 54.75 23.25] CT +[1 0 0 1 0 0] CT +N +0 0 M +401 0 L +401 351 L +0 351 L +cp +clip +GS +0 0 translate +401 351 scale +%AXGBeginBitmap: java.awt.image.BufferedImage +{{ +/RawData currentfile /ASCII85Decode filter def +/Data RawData /FlateDecode filter def +/DeviceRGB setcolorspace +<< + /Decode [0 1 0 1 0 1] + /BitsPerComponent 8 + /Width 401 + /ImageType 1 + /DataSource Data + /ImageMatrix [401 0 0 351 0 0] + /Height 351 +>> image +} stopped {handleerror} if + RawData flushfile +} exec +Gb"0V8TH%1$j=BAs/.`JnA1e99@cF=A*+.!YcEf_k77Omzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz +zzzzzzzzzzzzzz!!(Boj`8Ha!T4c\>M8$:r8;U&p1OFb*qY`?!fD6X<*B[.j8$De=[8^Jb"?FM=l(YZP +m%4=F^1CXQW%P]YDIagk-n;j!m +`I^%:ePsZr?D,$G8221L<2$AQXl`R#K=`9@C"&=D:o0+;1(Kn,ee+rahF:;(.,BqDV;&Vl*:MG_#c)45 +hVn9%gM(]X-$e$0,?G_N45QC'%OYFeu@RU$gXO=ZA7-m(`[*Y;:JJ:6otU*""hW).:qtSFtbo&_E?CHp ++f8FK9P[.Ad)blZK0Qo9`'F0Y4>:&^*"CA+J)^c+(Xa`_Du';cVQqEcWoh%KT)`trSQDu"^B/'n402[uIg+1jG$\$Kn:L#>Eg?S<5 +UY617:j:CZLc4=p/_62A;>;Y)2mR)#1,na=?eQ]&`A6,YeFi"/mj4f*W!nglYFKknrL$gJkYf-)o^``pC1ie:M2OsnEcon0Zo<5Rj)K:;r$/IcE>.^s=j +)n/]f(kX?3!bJp4eA/*h]_>50O*jNXrVtli6/o8h,Ck'riK(Y"!_s7j6-%&Q?s\jWG`goG0;5c(P73A- +ZOFR/uhB^8B%:$r$@m*_Y0e4R^HW#ooXW(jB'.PHrL7a(_!_YYsb/(-"V/<5t8)Qcm0h9 +s^gui)h#[WNUhYPSMQ$Z3#@"<'W+*$>;h+!PKm3TFk`=oV/F;7ar.!Ml$OUzzzzzzzzzzzzzzzzzzzzz +zzzzzz!!r04BK_eJ~> + +%AXGEndBitmap +GR +GR +GS +[0.75 0 0 0.75 191.32895 181.38152] CT +1 0 0 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0 0.447 0.741 RC +1 LJ +0.667 LW +N +255.105 241.842 M +148.905 223.007 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0 0.447 0.741 RC +1 LJ +0.667 LW +N +255.105 241.842 M +361.305 260.677 L +S +GR +GS +[0.81172 0 0 0.73291 54.75 23.25] CT +[1 0 0 1 0 0] CT +N +0 0 M +401 0 L +401 351 L +0 351 L +cp +clip +GS +0 0 translate +401 351 scale +%AXGBeginBitmap: java.awt.image.BufferedImage +{{ +/RawData currentfile /ASCII85Decode filter def +/Data RawData /FlateDecode filter def +/DeviceRGB setcolorspace +<< + /Decode [0 1 0 1 0 1] + /BitsPerComponent 8 + /Width 401 + /ImageType 1 + /DataSource Data + /ImageMatrix [401 0 0 351 0 0] + /Height 351 +>> image +} stopped {handleerror} if + RawData flushfile +} exec +Gb"0T6$D!R&-YAWs3`]]=]hOi#p^F[2+#4fRNJ_R`F$@[zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz +zzzzzzzzzzzzz!!!!YjI[gbG6.I2X@lp$?Obf0H]=1>i)34r,[%oLQZbs+JhLt1_C'/+ZoL +ZiJes9jEJIAQ*'(F,^KACA%Y?pm!J7gJqh@0\gb_s1InBmhK?>eoog@2f6k*"2"@c.bg^*)3'IH<[crA +!7Hl9kS3l7WIQ:`oO4o3_88r.o;6oqDCDs+Oh7q:4EKk$NH3_W.fu;S]L9_dTpqls8?2MM)>k-R"^R[U>9+Q27:3O-b!T9a3(V2LUf@`%fgt +_Dj>i(d)m+__]DXpA*SXP84M;W7u?fI[2/C=q2[kdX]2eV<4H7HFkZ)8C=kU#ms^^,(?NiI:)7]98XJp +Jo>=*Nj3oi+2[ma)@,WIS=2Tbl3W!PQ'30;tcM7]97-<4rr!6CjjGlCEG;l4b7=mf\SGVs((*-X_Tg77 +Yli!@-)CH9j\/0LD>)U["D#&aC&Np)tc>/3-CP$;JuYr;eP?oH5L%a\kJ`s + +%AXGEndBitmap +GR +GR +GS +[0.75 0 0 0.75 192.73586 181.17934] CT +1 0 0 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0 0.447 0.741 RC +1 LJ +0.667 LW +N +256.981 241.572 M +162.97 193.156 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0 0.447 0.741 RC +1 LJ +0.667 LW +N +256.981 241.572 M +350.992 289.989 L +S +GR +GS +[0.81172 0 0 0.73291 54.75 23.25] CT +[1 0 0 1 0 0] CT +N +0 0 M +401 0 L +401 351 L +0 351 L +cp +clip +GS +0 0 translate +401 351 scale +%AXGBeginBitmap: java.awt.image.BufferedImage +{{ +/RawData currentfile /ASCII85Decode filter def +/Data RawData /FlateDecode filter def +/DeviceRGB setcolorspace +<< + /Decode [0 1 0 1 0 1] + /BitsPerComponent 8 + /Width 401 + /ImageType 1 + /DataSource Data + /ImageMatrix [401 0 0 351 0 0] + /Height 351 +>> image +} stopped {handleerror} if + RawData flushfile +} exec +Gb"0Q6&Jo%&-]n\s.sSFnY-mj-0Q]A1D+tbG`+udq>pWszzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz +zzzzzzzzzzz!-j,\hl/74nESb1rS[^Tp=d<#EuV/i`rJ<^NNlA8i1iKl.mX9oU2JM^H4ODe\k`S(4MW. +`O@JMtJ/.>`:";<+/(?#:WcnMjFb_U!;ZXSC6Po$eJ6q'*WHoq"KfVY$ohIcUma-Z6.U[rk78rkS^^>4 +AVWs_&($ZK-eN3d^e0u<87fp,tCG\qM"KYFtBWBnq=J8L;<4rsL6CjjMH7**S3^m!?:;@3ZMPf[0J/.> +`NRT0R>LYMKWCI#uW,"4fNs'8rf4^s$$.tuTd7?D5YXMimOa89\Mn2Ajog6G4AVWs_&($ZKme0=uue28/D7fp,tCG\qM"KYFtBWBnq=J8L;<4rsL6CjjMH7**S3^m!?:;@3ZMFQl +nJ/.>`:";<+/(?#:WcnMFW)GNQmf`:J%UH$2!d]!E0%Xh?d;X:=3%S'@ + +%AXGEndBitmap +GR +GR +GS +[0.75 0 0 0.75 193.70741 181.15669] CT +1 0 0 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0 0.447 0.741 RC +1 LJ +0.667 LW +N +258.277 241.542 M +329.682 314.977 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0 0.447 0.741 RC +1 LJ +0.667 LW +N +258.277 241.542 M +186.871 168.108 L +S +GR +GS +[0.81172 0 0 0.73291 54.75 23.25] CT +[1 0 0 1 0 0] CT +N +0 0 M +401 0 L +401 351 L +0 351 L +cp +clip +GS +0 0 translate +401 351 scale +%AXGBeginBitmap: java.awt.image.BufferedImage +{{ +/RawData currentfile /ASCII85Decode filter def +/Data RawData /FlateDecode filter def +/DeviceRGB setcolorspace +<< + /Decode [0 1 0 1 0 1] + /BitsPerComponent 8 + /Width 401 + /ImageType 1 + /DataSource Data + /ImageMatrix [401 0 0 351 0 0] + /Height 351 +>> image +} stopped {handleerror} if + RawData flushfile +} exec +Gb"0N6&lpT&-P;us3hU&d=M`YVlP0A]FloF5p-[:lPBO$zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz +zzzzzzzz!!!#;rqSjn$fK3(V,Ao'**5`Y>egY`oLcWDrLUr"\:C.,eLT/O54-%s;D$h%5*7DT!^>Ra^! +\OkmIheu[=IGKoh)`EkOp8r[=I"pA-j&k6eJI>eK4d$e@GEMI0OYt3`1B'?NQaumaI6^@t56CAU:&a#< +56pUeC!:J5arT>#8Q0o]cpgWS[bLFb,k/LB46_5g/H1J5T[GAbBIsVU!MnqCnRA(MHPA(/V"=[&/9[Lt +*)@;niL#l2n)ehZ@80K\"Xk!O4[P$gOdC=<4(moij\_NmNCS.Nhb^BL.%]d&T78TY:cseK)6$rX%f=*P +/9M#rk8BU9!ROJ0WPm\thLr3's11X6Q=-,Le0RUco)E79u\?lA'nBe3SD_IL%o7h5B`,5Ch55Q244'"u +&N;/%l"MknPn4A-!?8(,1kW!TQ]d0TKZE'Bp5cNa;`"knPn4A-'%#'ekGS!OLu)0Sj6?K1Hb3MeW9Fr& +n3""WZVrZ;_2k`5Q6n(N=u&A-j(!\reQ&!\1[C-!\67&!J;E^eSf>Q>ckO]J3R+"anhSHR2q4LO?7+_? +IU.L1CT,n.sc)-!\6,qi`=2^cb]$KF:m^kNY_=">E(]Wpf4;J907hqGDYLE2'p;0@]^r#H<>tjF`eb)cNCVUPOh=n*jAY8S>YZPJ:6_>4B;CdCf +MkGWVSheT=QsWec,[Ie@g-[qEeS^\i3F8rrN#H]m58,6=?Fs2c&!(!F+*rH)giSfWD=%IJ%YHUMeCPok +cskcHifm0HaCdBL.%]E.g8@=4KM9#H<@J>5]"OQF]Y;;h"lhWfGOMe<^/*WtY/3rl +CT"!160XJ8lhBQpn3/=X4@l8$@GG,R]u1YCJq2$CF8fJ8t2gQpn3/E?kpZ7C%GH`!R>OV>pSrzzzzzzz +zzzzzzzzzzzzzzJEQn8R:nSo~> + +%AXGEndBitmap +GR +GR +GS +[0.75 0 0 0.75 194.2251 181.05099] CT +1 0 0 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0 0.447 0.741 RC +1 LJ +0.667 LW +N +258.967 241.401 M +296.672 333 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0 0.447 0.741 RC +1 LJ +0.667 LW +N +258.967 241.401 M +221.261 149.803 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0.149 GC +2 setlinecap +1 LJ +0.667 LW +N +73 374 M +507 374 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0.149 GC +2 setlinecap +1 LJ +0.667 LW +N +73 31 M +507 31 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0.149 GC +2 setlinecap +1 LJ +0.667 LW +N +126.574 374 M +126.574 369.66 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0.149 GC +2 setlinecap +1 LJ +0.667 LW +N +180.688 374 M +180.688 369.66 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0.149 GC +2 setlinecap +1 LJ +0.667 LW +N +234.803 374 M +234.803 369.66 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0.149 GC +2 setlinecap +1 LJ +0.667 LW +N +288.918 374 M +288.918 369.66 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0.149 GC +2 setlinecap +1 LJ +0.667 LW +N +343.032 374 M +343.032 369.66 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0.149 GC +2 setlinecap +1 LJ +0.667 LW +N +397.147 374 M +397.147 369.66 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0.149 GC +2 setlinecap +1 LJ +0.667 LW +N +451.262 374 M +451.262 369.66 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0.149 GC +2 setlinecap +1 LJ +0.667 LW +N +505.377 374 M +505.377 369.66 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0.149 GC +2 setlinecap +1 LJ +0.667 LW +N +126.574 31 M +126.574 35.34 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0.149 GC +2 setlinecap +1 LJ +0.667 LW +N +180.688 31 M +180.688 35.34 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0.149 GC +2 setlinecap +1 LJ +0.667 LW +N +234.803 31 M +234.803 35.34 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0.149 GC +2 setlinecap +1 LJ +0.667 LW +N +288.918 31 M +288.918 35.34 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0.149 GC +2 setlinecap +1 LJ +0.667 LW +N +343.032 31 M +343.032 35.34 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0.149 GC +2 setlinecap +1 LJ +0.667 LW +N +397.147 31 M +397.147 35.34 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0.149 GC +2 setlinecap +1 LJ +0.667 LW +N +451.262 31 M +451.262 35.34 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0.149 GC +2 setlinecap +1 LJ +0.667 LW +N +505.377 31 M +505.377 35.34 L +S +GR +GS +[0.75 0 0 0.75 94.93017 284.50001] CT +0.149 GC +/Helvetica 13.333 F +GS +[1 0 0 1 0 0] CT +-8.5 13 moveto +1 -1 scale +(50) t +GR +GR +GS +[0.75 0 0 0.75 135.51621 284.50001] CT +0.149 GC +/Helvetica 13.333 F +GS +[1 0 0 1 0 0] CT +-12.5 13 moveto +1 -1 scale +(100) t +GR +GR +GS +[0.75 0 0 0.75 176.10225 284.50001] CT +0.149 GC +/Helvetica 13.333 F +GS +[1 0 0 1 0 0] CT +-12.5 13 moveto +1 -1 scale +(150) t +GR +GR +GS +[0.75 0 0 0.75 216.68827 284.50001] CT +0.149 GC +/Helvetica 13.333 F +GS +[1 0 0 1 0 0] CT +-12.5 13 moveto +1 -1 scale +(200) t +GR +GR +GS +[0.75 0 0 0.75 257.27431 284.50001] CT +0.149 GC +/Helvetica 13.333 F +GS +[1 0 0 1 0 0] CT +-12.5 13 moveto +1 -1 scale +(250) t +GR +GR +GS +[0.75 0 0 0.75 297.86034 284.50001] CT +0.149 GC +/Helvetica 13.333 F +GS +[1 0 0 1 0 0] CT +-12.5 13 moveto +1 -1 scale +(300) t +GR +GR +GS +[0.75 0 0 0.75 338.44638 284.50001] CT +0.149 GC +/Helvetica 13.333 F +GS +[1 0 0 1 0 0] CT +-12.5 13 moveto +1 -1 scale +(350) t +GR +GR +GS +[0.75 0 0 0.75 379.03242 284.50001] CT +0.149 GC +/Helvetica 13.333 F +GS +[1 0 0 1 0 0] CT +-12.5 13 moveto +1 -1 scale +(400) t +GR +GR +GS +[0.75 0 0 0.75 0 0] CT +0.149 GC +2 setlinecap +1 LJ +0.667 LW +N +73 31 M +73 374 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0.149 GC +2 setlinecap +1 LJ +0.667 LW +N +507 31 M +507 374 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0.149 GC +2 setlinecap +1 LJ +0.667 LW +N +73 79.372 M +77.34 79.372 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0.149 GC +2 setlinecap +1 LJ +0.667 LW +N +73 128.232 M +77.34 128.232 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0.149 GC +2 setlinecap +1 LJ +0.667 LW +N +73 177.093 M +77.34 177.093 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0.149 GC +2 setlinecap +1 LJ +0.667 LW +N +73 225.953 M +77.34 225.953 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0.149 GC +2 setlinecap +1 LJ +0.667 LW +N +73 274.813 M +77.34 274.813 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0.149 GC +2 setlinecap +1 LJ +0.667 LW +N +73 323.674 M +77.34 323.674 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0.149 GC +2 setlinecap +1 LJ +0.667 LW +N +73 372.534 M +77.34 372.534 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0.149 GC +2 setlinecap +1 LJ +0.667 LW +N +507 79.372 M +502.66 79.372 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0.149 GC +2 setlinecap +1 LJ +0.667 LW +N +507 128.232 M +502.66 128.232 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0.149 GC +2 setlinecap +1 LJ +0.667 LW +N +507 177.093 M +502.66 177.093 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0.149 GC +2 setlinecap +1 LJ +0.667 LW +N +507 225.953 M +502.66 225.953 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0.149 GC +2 setlinecap +1 LJ +0.667 LW +N +507 274.813 M +502.66 274.813 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0.149 GC +2 setlinecap +1 LJ +0.667 LW +N +507 323.674 M +502.66 323.674 L +S +GR +GS +[0.75 0 0 0.75 0 0] CT +0.149 GC +2 setlinecap +1 LJ +0.667 LW +N +507 372.534 M +502.66 372.534 L +S +GR +GS +[0.75 0 0 0.75 50.75 59.52885] CT +0.149 GC +/Helvetica 13.333 F +GS +[1 0 0 1 0 0] CT +-17 4.5 moveto +1 -1 scale +(50) t +GR +GR +GS +[0.75 0 0 0.75 50.75 96.17414] CT +0.149 GC +/Helvetica 13.333 F 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[p1(2) p3(2)]) %%%%%%%% - title(['Helicopter number ', num2str(i), '\n',... - 'frame: ',num2str(ctr), ', t = ',... + title(['frame: ',num2str(ctr), ', t = ',... num2str(time),' s, relAngle: ',num2str(relAngle)]) pause(0.01) % pause From eed323cc5deb687c88de49ddc7a9ab135528f95a Mon Sep 17 00:00:00 2001 From: juliafovaeus Date: Wed, 22 Feb 2017 09:39:41 +0100 Subject: [PATCH 14/16] Add files via upload --- matlab/estimations.m | 67 ++++++++++++++++++++++++++++++++++++++++---- 1 file changed, 62 insertions(+), 5 deletions(-) diff --git a/matlab/estimations.m b/matlab/estimations.m index 1ed8ca7..021e759 100644 --- a/matlab/estimations.m +++ b/matlab/estimations.m @@ -55,7 +55,7 @@ % Filling matrix A for k = 1:11 A(k, 1) = a(k)*b(k)*b(k)*sin(alpha(k))*(rho_a/2) * cos(alpha(k))*V(k)*V(k) -A(k, 2) = a(k)*b(k)*b(k)*sin(alpha(k))*(rho_a/2) * sin(alpha(k))*W(k)*W(k)*b(k)*b(k)/3 +A(k, 2) = -a(k)*b(k)*b(k)*sin(alpha(k))*(rho_a/2) * sin(alpha(k))*W(k)*W(k)*b(k)*b(k)/3 B(k) = rho_a*W(k)*W(k)*(c(k)*(b(k)^4)/6 + L(k)*(d(k)^4)/96) end C = A\B % ingen ?r utel?mnad. @@ -106,11 +106,68 @@ %% -C_dd1 = constants2(:,1) -C_dd2 = constants2(:,2) + C_dr1 = constants1(:,1) C_dr2 = constants1(:,2) +C_dm = 1 + +C_dd1 = constants2(:,1) +C_dd2 = constants2(:,2) +format long +%% + +vy = (sqrt((2*rho_p.*b.*(a+c+L).*g./(rho_a.*a(k).*b(k).*(cos(alpha(k)).^2).*C_dd1(k)))./(1-C_dd2(k).*sin(alpha(k)).*(b(k).^2).*C_dr1(k)*rho_a.*a(k).*(b(k).^2).*sin(alpha(k)).*cos(alpha(k))./(C_dd1(k).*cos(alpha(k)).*(C_dr2(k).*rho_a.*a(k).*(b(k)^2).*sin(alpha(k)).*(b(k)^2)./2 + C_dm*rho_a.*(c(k)*(b(k).^4)./2+L(k)*(d(k).^4)./32)))))) +omega= sqrt(vy^2 * C_dr1(k)*rho_a.*a(k).*(b(k)^2)*sin(alpha(k)).*cos(alpha(k))./(C_dr2(k).*rho_a.*a(k).*(b(k).^2).*sin(alpha(k)).*(b(k).^(2/3)) + C_dm*rho_a.*(c(k)*(b(k).^4/3)) + L(k)*(d(k)^4)./48)) + + +%% +for k = 1:11 +vy(k) = sqrt((2*rho_p*b(k)*(a(k)+c(k)+L(k))*g/(rho_a*a(k)*b(k)*cos(alpha(k))^2*C_dd1(k)))/(1-C_dd2(k)*sin(alpha(k))*b(k)^2*C_dr1(k)*rho_a*a(k)*b(k)^2*sin(alpha(k))*cos(alpha(k))/(C_dd1(k)*cos(alpha(k))*(C_dr2(k)*rho_a*a(k)*b(k)^2*sin(alpha(k))*b(k)^2/2 + C_dm*rho_a*(c(k)*b(k)^4/2+L(k)*d(k)^4/32))))); +omega(k) = sqrt(vy(k)^2 * C_dr1(k)*rho_a*a(k)*b(k)^2*sin(alpha(k))*cos(alpha(k))/(C_dr2(k)*rho_a*a(k)*b(k)^2*(sin(alpha(k))^2)*b(k)^2/3 + C_dm*rho_a*(c(k)*b(k)^4/3 + L(k)*d(k)^4/48))); +end -vy = sqrt((2*rho_p*b*(a+c+L)*g/(rho_a*a*b*cos(alpha)^2.*C_dd1))/(1-C_dd2.*sin(alpha)*b^2*C_dr1*rho_a*a*b^2*sin(alpha)*cos(alpha)/(C_dd1*cos(alpha)*(C_dr2*rho_a*a*b^2*sin(alpha)*b^2/2 + C_dm*rho_a*(c*b^4/2+L*d^4/32))))); -omega = sqrt(vy^2 * C_dr1*rho_a*a*b^2.*sin(alpha).*cos(alpha)./(C_dr2.*rho_a.*a.*(b.^2).*sin(alpha).*b^2/3 + C_dm*rho_a*(c*b^4/3 + L*d^4/48))); +%% +for k = 1:11 +margin(k, :) = [(V(k) - vy(k))/V(k), (W(k) - omega(k))/W(k)]; +end + + +%% + +for k=1:11 +vy(k) = (sqrt((2*rho_p*b(k)*(a(k)+c(k)+L(k))*g/(rho_a*a(k)*b(k)*(cos(alpha(k))^2)*C_dd1(k)))/(1-C_dd2(k)*sin(alpha(k))*(b(k)^2)*C_dr1(k)*rho_a.*a(k).*(b(k).^2).*sin(alpha(k)).*cos(alpha(k))./(C_dd1(k).*cos(alpha(k)).*(C_dr2(k).*rho_a.*a(k).*(b(k)^2).*sin(alpha(k)).*(b(k)^2)./2 + C_dm*rho_a.*(c(k)*(b(k).^4)./2+L(k)*(d(k).^4)./32)))))); +omega(k) = ((sqrt(vy.^2 * C_dr1(k).*rho_a.*a(k).*(b(k).^2).*sin(alpha(k)).*cos(alpha(k))./(C_dr2(k).*rho_a.*a(k).*(b(k).^2).*sin(alpha(k)).*(b(k).^2)./3)) + C_dm*rho_a.*(c(k)*(b(k).^4/3)) + L(k)*(d(k)^4)./48)); +end + +%% +figure(2) +%% +V(5) = NaN +vy(5) = NaN +W(5) = NaN +omega(5) = NaN +%% +figure(7) +x = 1:11 +subplot(1,2,1) +plot(x, V, '*') +hold on +plot(x, vy, 'o') +grid on +xlabel('Helicopter number') +title('Measured and estimated velocity of fall') +ylabel('Velocity (m/s)') +legend('measured velocity', 'estimated velocity') +set(gca, 'Fontsize', 15) +subplot(1,2,2) +plot(x, W, '*') +hold on +plot(x, omega, 'o') +xlabel('Helicopter number') +ylabel('Angular frequancy (rad/s)') +title('Measured and estimated angular frequency') +legend('measured angular freq.', 'estimated angular freq.') +grid on +set(gca, 'Fontsize', 15) + From b66a75494a57b0db4a3e8784c949f9ea2ad3eeb8 Mon Sep 17 00:00:00 2001 From: ollealvin Date: Wed, 22 Feb 2017 09:46:30 +0100 Subject: [PATCH 15/16] Added a script for finding alpha The script alphafinder can be used to find alpha for a helicopter. It has some bugs which did not have time to fix. --- matlab/alfaFinder.m | 68 +++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 68 insertions(+) create mode 100644 matlab/alfaFinder.m diff --git a/matlab/alfaFinder.m b/matlab/alfaFinder.m new file mode 100644 index 0000000..b822930 --- /dev/null +++ b/matlab/alfaFinder.m @@ -0,0 +1,68 @@ +% This script can used to go through the frames of a video by hand. Olles +% results of the helicopter falling speeds are down below. + +mov = VideoReader('\..\data\Hel5tag2.mp4') %Set path to video file here. +frameTime = 1/mov.FrameRate + +numFrames = mov.NumberOfFrames; +figure(1) +k = 1; +w=0; +while true + imshow(read(mov, k)); + tmp = k; + title(['frame: ' num2str(k)]); + + w = waitforbuttonpress; + figure(1) + try + val=double(get(w,'CurrentCharacter')); + catch + val=0; + end + + if val == 28 + if k > 1 + k = k-1; + w=0; + end + end + if val == 29 + if k < numFrames + k = k+1; + w=0; + end + + end + if val == 31 + k=tmp; + break + end +end + figure(1) + imshow(read(mov, k)); + + hold on + title('set body reference line') + [firstX,firstY] = ginput(1); + plot(firstX,firstY,'*'); + [secondX,secondY] = ginput(1); + plot([firstX secondX], [firstY secondY]); + v1 = [firstX-secondX firstY-secondY]; + + title('set wing line') + [firstX,firstY] = ginput(1); + plot(firstX,firstY,'*'); + [secondX,secondY] = ginput(1); + plot([firstX secondX], [firstY secondY]); + v2 = [firstX-secondX firstY-secondY]; + theta = acos(dot(v1,v2)/(norm(v1)*norm(v2))); + theta = theta - pi/2 + alfa = 180/pi * theta + + +%% Olles results + +%frames = [26 28 27 30 21 30 28 27 35 29 30]; +%times = frames*0.0084; +%speeds = 0.5./times From 39600480f7ec27712a522c692dc19fe0e2c60d27 Mon Sep 17 00:00:00 2001 From: Jonathan Astermark Date: Wed, 22 Feb 2017 13:20:29 +0100 Subject: [PATCH 16/16] produced some angular frequency plots --- matlab/evaluate_prototypes2.m | 4 +- matlab/plots/ang_freq.eps | 7897 ----------------------- matlab/plots/ang_freq_1.eps | 3284 ++++++++++ matlab/plots/ang_freq_10.eps | 3587 +++++++++++ matlab/plots/ang_freq_11.eps | 3935 ++++++++++++ matlab/plots/ang_freq_2.eps | 3213 ++++++++++ matlab/plots/ang_freq_3.eps | 3074 +++++++++ matlab/plots/ang_freq_4.eps | 3813 +++++++++++ matlab/plots/ang_freq_5.eps | 3234 ++++++++++ matlab/plots/ang_freq_6.eps | 3902 ++++++++++++ matlab/plots/ang_freq_7.eps | 3653 +++++++++++ matlab/plots/ang_freq_8.eps | 3653 +++++++++++ matlab/plots/ang_freq_9.eps | 3841 +++++++++++ matlab/plots/ang_freq_bad_heli3.eps | 3074 +++++++++ matlab/plots/filming_side_rotated.eps | 8383 +++++++++++++++++++++++++ 15 files changed, 50648 insertions(+), 7899 deletions(-) delete mode 100644 matlab/plots/ang_freq.eps create mode 100644 matlab/plots/ang_freq_1.eps create mode 100644 matlab/plots/ang_freq_10.eps create mode 100644 matlab/plots/ang_freq_11.eps create mode 100644 matlab/plots/ang_freq_2.eps create mode 100644 matlab/plots/ang_freq_3.eps create mode 100644 matlab/plots/ang_freq_4.eps create mode 100644 matlab/plots/ang_freq_5.eps create mode 100644 matlab/plots/ang_freq_6.eps create mode 100644 matlab/plots/ang_freq_7.eps create mode 100644 matlab/plots/ang_freq_8.eps create mode 100644 matlab/plots/ang_freq_9.eps create mode 100644 matlab/plots/ang_freq_bad_heli3.eps create mode 100644 matlab/plots/filming_side_rotated.eps diff --git a/matlab/evaluate_prototypes2.m b/matlab/evaluate_prototypes2.m index e77ed7e..1059a3a 100644 --- a/matlab/evaluate_prototypes2.m +++ b/matlab/evaluate_prototypes2.m @@ -5,7 +5,7 @@ saveplot = true; % Specify folder for videos -video_folder = '../../Filmer/Prototypes/'; +video_folder = '../../Filmer/'; % Load geometry load('../data/prototypes.mat') @@ -18,7 +18,7 @@ angular_freq = zeros(1,11); freq_std = zeros(1,11); -for i=1:11 +for i=6:11 % Default parameters startFrame = 1; diff --git a/matlab/plots/ang_freq.eps b/matlab/plots/ang_freq.eps deleted file mode 100644 index 000f6d9..0000000 --- a/matlab/plots/ang_freq.eps +++ /dev/null @@ -1,7897 +0,0 @@ -%!PS-Adobe-3.0 EPSF-3.0 -%%Creator: (MATLAB, The Mathworks, Inc. 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-336 596 M -343 603 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -342 593.5 M -351 593.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -346.5 598 M -346.5 589 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -343 597 M -350 590 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -343 590 M -350 597 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -350 489.5 M -359 489.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -354.5 494 M -354.5 485 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -351 493 M -358 486 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -351 486 M -358 493 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -357 451.5 M -366 451.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -361.5 456 M -361.5 447 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -358 455 M -365 448 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -358 448 M -365 455 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -365 434.5 M -374 434.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -369.5 439 M -369.5 430 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -366 438 M -373 431 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -366 431 M -373 438 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -372 435.5 M -381 435.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -376.5 440 M -376.5 431 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -373 439 M -380 432 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -373 432 M -380 439 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -379 434.5 M -388 434.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -383.5 439 M -383.5 430 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -380 438 M -387 431 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -380 431 M -387 438 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -387 397.5 M -396 397.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -391.5 402 M -391.5 393 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -388 401 M -395 394 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -388 394 M -395 401 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -394 359.5 M -403 359.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -398.5 364 M -398.5 355 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -395 363 M -402 356 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -395 356 M -402 363 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -402 320.5 M -411 320.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -406.5 325 M -406.5 316 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -403 324 M -410 317 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -403 317 M -410 324 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -409 310.5 M -418 310.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -413.5 315 M -413.5 306 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -410 314 M -417 307 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -410 307 M -417 314 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -417 315.5 M -426 315.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -421.5 320 M -421.5 311 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -418 319 M -425 312 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -418 312 M -425 319 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -424 334.5 M -433 334.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -428.5 339 M -428.5 330 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -425 338 M -432 331 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -425 331 M -432 338 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -432 304.5 M -441 304.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -436.5 309 M -436.5 300 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -433 308 M -440 301 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -433 301 M -440 308 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -439 248.5 M -448 248.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -443.5 253 M -443.5 244 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -440 252 M -447 245 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -440 245 M -447 252 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -446 208.5 M -455 208.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -450.5 213 M -450.5 204 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -447 212 M -454 205 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -447 205 M -454 212 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -454 198.5 M -463 198.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -458.5 203 M -458.5 194 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -455 202 M -462 195 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -455 195 M -462 202 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -461 221.5 M -470 221.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -465.5 226 M -465.5 217 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -462 225 M -469 218 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -462 218 M -469 225 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -469 273.5 M -478 273.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -473.5 278 M -473.5 269 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -470 277 M -477 270 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -470 270 M -477 277 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -476 231.5 M -485 231.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -480.5 236 M -480.5 227 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -477 235 M -484 228 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -477 228 M -484 235 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -484 181.5 M -493 181.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -488.5 186 M -488.5 177 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -485 185 M -492 178 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -485 178 M -492 185 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -491 147.5 M -500 147.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -495.5 152 M -495.5 143 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -492 151 M -499 144 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -492 144 M -499 151 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -498 151.5 M -507 151.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -502.5 156 M -502.5 147 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -499 155 M -506 148 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -499 148 M -506 155 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -506 158.5 M -515 158.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -510.5 163 M -510.5 154 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -507 162 M -514 155 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -507 155 M -514 162 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -513 213.5 M -522 213.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -517.5 218 M -517.5 209 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -514 217 M -521 210 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -514 210 M -521 217 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -521 209.5 M -530 209.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -525.5 214 M -525.5 205 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -522 213 M -529 206 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -522 206 M -529 213 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -528 160.5 M -537 160.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -532.5 165 M -532.5 156 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -529 164 M -536 157 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -529 157 M -536 164 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -536 118.5 M -545 118.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -540.5 123 M -540.5 114 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -537 122 M -544 115 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -537 115 M -544 122 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -543 111.5 M -552 111.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -547.5 116 M -547.5 107 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -544 115 M -551 108 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -544 108 M -551 115 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -551 162.5 M -560 162.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -555.5 167 M -555.5 158 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -552 166 M -559 159 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -552 159 M -559 166 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -558 210.5 M -567 210.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -562.5 215 M -562.5 206 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -559 214 M -566 207 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -559 207 M -566 214 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -565 187.5 M -574 187.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -569.5 192 M -569.5 183 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -566 191 M -573 184 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -566 184 M -573 191 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -573 155.5 M -582 155.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -577.5 160 M -577.5 151 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -574 159 M -581 152 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -574 152 M -581 159 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -580 111.5 M -589 111.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -584.5 116 M -584.5 107 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -581 115 M -588 108 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -581 108 M -588 115 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -588 105.5 M -597 105.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -592.5 110 M -592.5 101 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -589 109 M -596 102 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -589 102 M -596 109 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -595 135.5 M -604 135.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -599.5 140 M -599.5 131 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -596 139 M -603 132 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -596 132 M -603 139 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -603 178.5 M -612 178.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -607.5 183 M -607.5 174 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -604 182 M -611 175 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -604 175 M -611 182 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -610 183.5 M -619 183.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -614.5 188 M -614.5 179 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -611 187 M -618 180 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -611 180 M -618 187 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -618 154.5 M -627 154.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -622.5 159 M -622.5 150 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -619 158 M -626 151 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -619 151 M -626 158 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -625 121.5 M -634 121.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -629.5 126 M -629.5 117 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -626 125 M -633 118 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -626 118 M -633 125 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -632 95.5 M -641 95.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -636.5 100 M -636.5 91 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -633 99 M -640 92 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -633 92 M -640 99 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -640 117.5 M -649 117.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -644.5 122 M -644.5 113 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -641 121 M -648 114 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -641 114 M -648 121 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -647 182.5 M -656 182.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -651.5 187 M -651.5 178 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -648 186 M -655 179 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -648 179 M -655 186 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -655 180.5 M -664 180.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -659.5 185 M -659.5 176 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -656 184 M -663 177 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -656 177 M -663 184 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -662 162.5 M -671 162.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -666.5 167 M -666.5 158 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -663 166 M -670 159 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -663 159 M -670 166 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -670 139.5 M -679 139.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -674.5 144 M -674.5 135 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -671 143 M -678 136 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -671 136 M -678 143 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -677 124.5 M -686 124.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -681.5 129 M -681.5 120 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -678 128 M -685 121 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -678 121 M -685 128 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -684 137.5 M -693 137.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -688.5 142 M -688.5 133 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -685 141 M -692 134 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -685 134 M -692 141 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -692 186.5 M -701 186.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -696.5 191 M -696.5 182 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -693 190 M -700 183 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -693 183 M -700 190 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -699 178.5 M -708 178.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -703.5 183 M -703.5 174 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -700 182 M -707 175 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -700 175 M -707 182 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -707 177.5 M -716 177.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -711.5 182 M -711.5 173 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -708 181 M -715 174 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -708 174 M -715 181 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -714 141.5 M -723 141.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -718.5 146 M -718.5 137 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -715 145 M -722 138 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -715 138 M -722 145 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -722 116.5 M -731 116.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -726.5 121 M -726.5 112 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -723 120 M -730 113 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -723 113 M -730 120 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -729 125.5 M -738 125.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -733.5 130 M -733.5 121 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -730 129 M -737 122 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -730 122 M -737 129 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -737 173.5 M -746 173.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -741.5 178 M -741.5 169 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -738 177 M -745 170 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -738 170 M -745 177 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -744 189.5 M -753 189.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -748.5 194 M -748.5 185 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -745 193 M -752 186 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -745 186 M -752 193 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -751 165.5 M -760 165.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -755.5 170 M -755.5 161 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -752 169 M -759 162 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -752 162 M -759 169 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -759 143.5 M -768 143.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -763.5 148 M -763.5 139 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -760 147 M -767 140 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -760 140 M -767 147 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -766 127.5 M -775 127.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -770.5 132 M -770.5 123 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -767 131 M -774 124 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -767 124 M -774 131 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -774 131.5 M -783 131.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -778.5 136 M -778.5 127 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -775 135 M -782 128 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -775 128 M -782 135 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -781 179.5 M -790 179.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -785.5 184 M -785.5 175 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -782 183 M -789 176 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -782 176 M -789 183 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -789 188.5 M -798 188.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -793.5 193 M -793.5 184 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -790 192 M -797 185 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -790 185 M -797 192 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -796 183.5 M -805 183.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -800.5 188 M -800.5 179 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -797 187 M -804 180 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -797 180 M -804 187 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -804 163.5 M -813 163.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -808.5 168 M -808.5 159 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -805 167 M -812 160 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -805 160 M -812 167 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -811 131.5 M -820 131.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -815.5 136 M -815.5 127 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -812 135 M -819 128 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -812 128 M -819 135 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -818 122.5 M -827 122.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -822.5 127 M -822.5 118 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -819 126 M -826 119 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -819 119 M -826 126 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -826 157.5 M -835 157.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -830.5 162 M -830.5 153 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -827 161 M -834 154 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -827 154 M -834 161 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -833 188.5 M -842 188.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -837.5 193 M -837.5 184 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -834 192 M -841 185 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -834 185 M -841 192 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -841 185.5 M -850 185.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -845.5 190 M -845.5 181 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -842 189 M -849 182 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -842 182 M -849 189 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -848 154.5 M -857 154.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -852.5 159 M -852.5 150 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -849 158 M -856 151 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -849 151 M -856 158 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -856 129.5 M -865 129.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -860.5 134 M -860.5 125 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -857 133 M -864 126 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -857 126 M -864 133 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -863 116.5 M -872 116.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -867.5 121 M -867.5 112 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -864 120 M -871 113 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -864 113 M -871 120 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -870 143.5 M -879 143.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -874.5 148 M -874.5 139 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -871 147 M -878 140 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -871 140 M -878 147 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -878 175.5 M -887 175.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -882.5 180 M -882.5 171 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -879 179 M -886 172 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -879 172 M -886 179 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -885 176.5 M -894 176.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -889.5 181 M -889.5 172 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -886 180 M -893 173 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -886 173 M -893 180 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -893 168.5 M -902 168.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -897.5 173 M -897.5 164 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -894 172 M -901 165 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -894 165 M -901 172 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -900 141.5 M -909 141.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -904.5 146 M -904.5 137 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -901 145 M -908 138 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -901 138 M -908 145 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -908 133.5 M -917 133.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -912.5 138 M -912.5 129 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -909 137 M -916 130 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -909 130 M -916 137 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -915 156.5 M -924 156.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -919.5 161 M -919.5 152 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -916 160 M -923 153 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -916 153 M -923 160 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -923 184.5 M -932 184.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -927.5 189 M -927.5 180 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -924 188 M -931 181 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -924 181 M -931 188 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -930 182.5 M -939 182.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -934.5 187 M -934.5 178 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -931 186 M -938 179 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -931 179 M -938 186 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -937 172.5 M -946 172.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -941.5 177 M -941.5 168 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -938 176 M -945 169 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -938 169 M -945 176 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -945 131.5 M -954 131.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -949.5 136 M -949.5 127 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -946 135 M -953 128 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -946 128 M -953 135 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -952 117.5 M -961 117.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -956.5 122 M -956.5 113 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -953 121 M -960 114 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -953 114 M -960 121 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -960 145.5 M -969 145.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -964.5 150 M -964.5 141 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -961 149 M -968 142 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -961 142 M -968 149 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -967 175.5 M -976 175.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -971.5 180 M -971.5 171 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -968 179 M -975 172 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -968 172 M -975 179 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -975 180.5 M -984 180.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -979.5 185 M -979.5 176 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -976 184 M -983 177 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -976 177 M -983 184 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -982 157.5 M -991 157.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -986.5 162 M -986.5 153 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -983 161 M -990 154 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -983 154 M -990 161 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -990 140.5 M -999 140.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -994.5 145 M -994.5 136 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -991 144 M -998 137 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -991 137 M -998 144 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -997 120.5 M -1006 120.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1001.5 125 M -1001.5 116 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -998 124 M -1005 117 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -998 117 M -1005 124 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1004 134.5 M -1013 134.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1008.5 139 M -1008.5 130 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1005 138 M -1012 131 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1005 131 M -1012 138 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1012 183.5 M -1021 183.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1016.5 188 M -1016.5 179 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1013 187 M -1020 180 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1013 180 M -1020 187 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1019 197.5 M -1028 197.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1023.5 202 M -1023.5 193 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1020 201 M -1027 194 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1020 194 M -1027 201 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1027 183.5 M -1036 183.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1031.5 188 M -1031.5 179 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1028 187 M -1035 180 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1028 180 M -1035 187 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1034 161.5 M -1043 161.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1038.5 166 M -1038.5 157 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1035 165 M -1042 158 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1035 158 M -1042 165 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1042 142.5 M -1051 142.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1046.5 147 M -1046.5 138 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1043 146 M -1050 139 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1043 139 M -1050 146 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1049 132.5 M -1058 132.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1053.5 137 M -1053.5 128 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1050 136 M -1057 129 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1050 129 M -1057 136 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1056 185.5 M -1065 185.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1060.5 190 M -1060.5 181 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1057 189 M -1064 182 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1057 182 M -1064 189 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1064 184.5 M -1073 184.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1068.5 189 M -1068.5 180 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1065 188 M -1072 181 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1065 181 M -1072 188 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1071 183.5 M -1080 183.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1075.5 188 M -1075.5 179 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1072 187 M -1079 180 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1072 180 M -1079 187 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1079 160.5 M -1088 160.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1083.5 165 M -1083.5 156 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1080 164 M -1087 157 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1080 157 M -1087 164 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1086 131.5 M -1095 131.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1090.5 136 M -1090.5 127 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1087 135 M -1094 128 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1087 128 M -1094 135 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1094 131.5 M -1103 131.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1098.5 136 M -1098.5 127 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1095 135 M -1102 128 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1095 128 M -1102 135 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1101 160.5 M -1110 160.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1105.5 165 M -1105.5 156 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1102 164 M -1109 157 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1102 157 M -1109 164 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1109 184.5 M -1118 184.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1113.5 189 M -1113.5 180 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1110 188 M -1117 181 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1110 181 M -1117 188 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1116 193.5 M -1125 193.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1120.5 198 M -1120.5 189 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1117 197 M -1124 190 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1117 190 M -1124 197 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1123 164.5 M -1132 164.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1127.5 169 M -1127.5 160 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1124 168 M -1131 161 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1124 161 M -1131 168 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1131 131.5 M -1140 131.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1135.5 136 M -1135.5 127 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1132 135 M -1139 128 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1132 128 M -1139 135 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1138 130.5 M -1147 130.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1142.5 135 M -1142.5 126 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1139 134 M -1146 127 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1139 127 M -1146 134 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1146 157.5 M -1155 157.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1150.5 162 M -1150.5 153 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1147 161 M -1154 154 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1147 154 M -1154 161 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1153 180.5 M -1162 180.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1157.5 185 M -1157.5 176 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1154 184 M -1161 177 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1154 177 M -1161 184 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1161 184.5 M -1170 184.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1165.5 189 M -1165.5 180 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1162 188 M -1169 181 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1162 181 M -1169 188 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1168 154.5 M -1177 154.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1172.5 159 M -1172.5 150 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1169 158 M -1176 151 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1169 151 M -1176 158 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1176 126.5 M -1185 126.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1180.5 131 M -1180.5 122 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1177 130 M -1184 123 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1177 123 M -1184 130 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1183 127.5 M -1192 127.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1187.5 132 M -1187.5 123 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1184 131 M -1191 124 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1184 124 M -1191 131 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1190 146.5 M -1199 146.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1194.5 151 M -1194.5 142 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1191 150 M -1198 143 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1191 143 M -1198 150 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1198 151.5 M -1207 151.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1202.5 156 M -1202.5 147 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1199 155 M -1206 148 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1199 148 M -1206 155 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1205 186.5 M -1214 186.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1209.5 191 M -1209.5 182 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1206 190 M -1213 183 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1206 183 M -1213 190 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1213 139.5 M -1222 139.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1217.5 144 M -1217.5 135 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1214 143 M -1221 136 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1214 136 M -1221 143 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1220 129.5 M -1229 129.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1224.5 134 M -1224.5 125 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1221 133 M -1228 126 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1221 126 M -1228 133 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1228 116.5 M -1237 116.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1232.5 121 M -1232.5 112 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1229 120 M -1236 113 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1229 113 M -1236 120 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1235 148.5 M -1244 148.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1239.5 153 M -1239.5 144 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1236 152 M -1243 145 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1236 145 M -1243 152 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1242 164.5 M -1251 164.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1246.5 169 M -1246.5 160 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1243 168 M -1250 161 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1243 161 M -1250 168 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1250 174.5 M -1259 174.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1254.5 179 M -1254.5 170 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1251 178 M -1258 171 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1251 171 M -1258 178 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1257 159.5 M -1266 159.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1261.5 164 M -1261.5 155 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1258 163 M -1265 156 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1258 156 M -1265 163 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1265 123.5 M -1274 123.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1269.5 128 M -1269.5 119 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1266 127 M -1273 120 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1266 120 M -1273 127 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1272 111.5 M -1281 111.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1276.5 116 M -1276.5 107 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1273 115 M -1280 108 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1273 108 M -1280 115 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1280 137.5 M -1289 137.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1284.5 142 M -1284.5 133 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1281 141 M -1288 134 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1281 134 M -1288 141 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1287 161.5 M -1296 161.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1291.5 166 M -1291.5 157 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1288 165 M -1295 158 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1288 158 M -1295 165 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1295 172.5 M -1304 172.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1299.5 177 M -1299.5 168 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1296 176 M -1303 169 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1296 169 M -1303 176 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1302 167.5 M -1311 167.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1306.5 172 M -1306.5 163 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1303 171 M -1310 164 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1303 164 M -1310 171 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1309 170.5 M -1318 170.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1313.5 175 M -1313.5 166 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1310 174 M -1317 167 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1310 167 M -1317 174 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1317 234.5 M -1326 234.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1321.5 239 M -1321.5 230 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1318 238 M -1325 231 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1318 231 M -1325 238 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1324 101.5 M -1333 101.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1328.5 106 M -1328.5 97 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1325 105 M -1332 98 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1325 98 M -1332 105 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1332 395.5 M -1341 395.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1336.5 400 M -1336.5 391 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1333 399 M -1340 392 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1333 392 M -1340 399 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1339 320.5 M -1348 320.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1343.5 325 M -1343.5 316 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1340 324 M -1347 317 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1340 317 M -1347 324 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1347 326.5 M -1356 326.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1351.5 331 M -1351.5 322 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1348 330 M -1355 323 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1348 323 M -1355 330 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1354 345.5 M -1363 345.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1358.5 350 M -1358.5 341 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1355 349 M -1362 342 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1355 342 M -1362 349 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1362 481.5 M -1371 481.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1366.5 486 M -1366.5 477 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1363 485 M -1370 478 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1363 478 M -1370 485 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1369 424.5 M -1378 424.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1373.5 429 M -1373.5 420 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1370 428 M -1377 421 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1370 421 M -1377 428 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1376 488.5 M -1385 488.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1380.5 493 M -1380.5 484 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1377 492 M -1384 485 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1377 485 M -1384 492 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1384 506.5 M -1393 506.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1388.5 511 M -1388.5 502 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1385 510 M -1392 503 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1385 503 M -1392 510 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1391 569.5 M -1400 569.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1395.5 574 M -1395.5 565 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1392 573 M -1399 566 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1392 566 M -1399 573 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1399 614.5 M -1408 614.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1403.5 619 M -1403.5 610 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1400 618 M -1407 611 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1400 611 M -1407 618 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1406 650.5 M -1415 650.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1410.5 655 M -1410.5 646 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1407 654 M -1414 647 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1407 647 M -1414 654 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1414 693.5 M -1423 693.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1418.5 698 M -1418.5 689 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1415 697 M -1422 690 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1415 690 M -1422 697 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1421 749.5 M -1430 749.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1425.5 754 M -1425.5 745 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1422 753 M -1429 746 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1422 746 M -1429 753 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1428 784.5 M -1437 784.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1432.5 789 M -1432.5 780 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1429 788 M -1436 781 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1429 781 M -1436 788 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1436 792.5 M -1445 792.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1440.5 797 M -1440.5 788 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1437 796 M -1444 789 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1437 789 M -1444 796 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1443 804.5 M -1452 804.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1447.5 809 M -1447.5 800 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1444 808 M -1451 801 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1444 801 M -1451 808 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1451 844.5 M -1460 844.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1455.5 849 M -1455.5 840 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1452 848 M -1459 841 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1452 841 M -1459 848 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1458 833.5 M -1467 833.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1462.5 838 M -1462.5 829 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1459 837 M -1466 830 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1459 830 M -1466 837 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1466 843.5 M -1475 843.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1470.5 848 M -1470.5 839 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1467 847 M -1474 840 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1467 840 M -1474 847 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1473 822.5 M -1482 822.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1477.5 827 M -1477.5 818 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1474 826 M -1481 819 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1474 819 M -1481 826 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1481 825.5 M -1490 825.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1485.5 830 M -1485.5 821 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1482 829 M -1489 822 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1482 822 M -1489 829 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1488 831.5 M -1497 831.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1492.5 836 M -1492.5 827 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1489 835 M -1496 828 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1489 828 M -1496 835 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1495 841.5 M -1504 841.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1499.5 846 M -1499.5 837 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1496 845 M -1503 838 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1496 838 M -1503 845 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1503 841.5 M -1512 841.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1507.5 846 M -1507.5 837 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1504 845 M -1511 838 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1504 838 M -1511 845 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1510 831.5 M -1519 831.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1514.5 836 M -1514.5 827 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1511 835 M -1518 828 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1511 828 M -1518 835 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1518 847.5 M -1527 847.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1522.5 852 M -1522.5 843 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1519 851 M -1526 844 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1519 844 M -1526 851 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1525 831.5 M -1534 831.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1529.5 836 M -1529.5 827 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1526 835 M -1533 828 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1526 828 M -1533 835 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1533 851.5 M -1542 851.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1537.5 856 M -1537.5 847 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1534 855 M -1541 848 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1534 848 M -1541 855 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1540 853.5 M -1549 853.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1544.5 858 M -1544.5 849 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1541 857 M -1548 850 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1541 850 M -1548 857 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1548 862.5 M -1557 862.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1552.5 867 M -1552.5 858 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1549 866 M -1556 859 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1549 859 M -1556 866 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1555 864.5 M -1564 864.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1559.5 869 M -1559.5 860 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1556 868 M -1563 861 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1556 861 M -1563 868 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1562 879.5 M -1571 879.5 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1566.5 884 M -1566.5 875 L -S -GR -GS -[0.75 0 0 0.75 0 -0.25] CT -0 0.447 0.741 RC -1 LJ -N -1563 883 M -1570 876 L -S -GR -GS -[0.75 0 0 0.75 0 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License terms: http://www.apache.org/licenses/LICENSE-2.0) +/BeginEPSF { %def +/b4_Inc_state save def % Save state for cleanup +/dict_count countdictstack def % Count objects on dict stack +/op_count count 1 sub def % Count objects on operand stack +userdict begin % Push userdict on dict stack +/showpage { } def % Redefine showpage, { } = null proc +0 setgray 0 setlinecap % Prepare graphics state +1 setlinewidth 0 setlinejoin +10 setmiterlimit [ ] 0 setdash newpath +/languagelevel where % If level not equal to 1 then +{pop languagelevel % set strokeadjust and +1 ne % overprint to their defaults. +{false setstrokeadjust false setoverprint +} if +} if +} bd +/EndEPSF { %def +count op_count sub {pop} repeat % Clean up stacks +countdictstack dict_count sub {end} repeat +b4_Inc_state restore +} bd +%%EndResource +%FOPBeginFontDict +%%IncludeResource: font Courier-Bold +%%IncludeResource: font Helvetica +%%IncludeResource: font Courier-BoldOblique +%%IncludeResource: font Courier-Oblique 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/equal /greater /question /at +/A /B /C /D /E +/F /G /H /I /J +/K /L /M /N /O +/P /Q /R /S /T +/U /V /W /X /Y +/Z /bracketleft /backslash /bracketright /asciicircum +/underscore /quoteleft /a /b /c +/d /e /f /g /h +/i /j /k /l /m +/n /o /p /q /r +/s /t /u /v /w +/x /y /z /braceleft /bar +/braceright /asciitilde /bullet /Euro /bullet +/quotesinglbase /florin /quotedblbase /ellipsis /dagger +/daggerdbl /circumflex /perthousand /Scaron /guilsinglleft +/OE /bullet /Zcaron /bullet /bullet +/quoteleft /quoteright /quotedblleft /quotedblright /bullet +/endash /emdash /asciitilde /trademark /scaron +/guilsinglright /oe /bullet /zcaron /Ydieresis +/space /exclamdown /cent /sterling /currency +/yen /brokenbar /section /dieresis /copyright +/ordfeminine /guillemotleft /logicalnot /sfthyphen /registered +/macron /degree /plusminus /twosuperior /threesuperior +/acute /mu /paragraph /middot /cedilla +/onesuperior /ordmasculine /guillemotright /onequarter /onehalf +/threequarters /questiondown /Agrave /Aacute /Acircumflex +/Atilde /Adieresis /Aring /AE /Ccedilla +/Egrave /Eacute /Ecircumflex /Edieresis /Igrave +/Iacute /Icircumflex /Idieresis /Eth /Ntilde +/Ograve /Oacute /Ocircumflex /Otilde /Odieresis +/multiply /Oslash /Ugrave /Uacute /Ucircumflex +/Udieresis /Yacute /Thorn /germandbls /agrave +/aacute /acircumflex /atilde /adieresis /aring +/ae /ccedilla /egrave /eacute /ecircumflex +/edieresis /igrave /iacute /icircumflex /idieresis +/eth /ntilde /ograve /oacute /ocircumflex +/otilde /odieresis /divide /oslash /ugrave +/uacute /ucircumflex /udieresis /yacute /thorn +/ydieresis +] def +%%EndResource +%FOPBeginFontReencode +/Courier-Bold findfont +dup length dict begin + {1 index /FID ne {def} {pop pop} ifelse} forall + /Encoding WinAnsiEncoding def + currentdict +end +/Courier-Bold exch definefont pop +/Helvetica findfont +dup length dict begin + {1 index /FID ne {def} {pop pop} ifelse} forall + /Encoding WinAnsiEncoding def + currentdict +end +/Helvetica exch definefont pop +/Courier-BoldOblique findfont +dup length dict begin + {1 index /FID ne {def} {pop pop} ifelse} forall + /Encoding WinAnsiEncoding def + currentdict +end +/Courier-BoldOblique exch definefont pop +/Courier-Oblique findfont +dup length dict begin + {1 index /FID ne {def} {pop pop} ifelse} forall + /Encoding WinAnsiEncoding def + currentdict +end +/Courier-Oblique exch definefont pop +/Times-Roman findfont +dup length dict begin + {1 index /FID ne {def} {pop pop} ifelse} forall + /Encoding WinAnsiEncoding def + currentdict +end +/Times-Roman exch definefont pop +/Helvetica-BoldOblique findfont +dup length dict begin + {1 index /FID ne {def} {pop pop} ifelse} forall + /Encoding WinAnsiEncoding def + currentdict +end +/Helvetica-BoldOblique exch definefont pop +/Helvetica-Bold findfont +dup length dict begin + {1 index /FID ne {def} {pop pop} ifelse} forall + /Encoding WinAnsiEncoding def + currentdict +end +/Helvetica-Bold exch definefont pop +/Helvetica-Oblique findfont +dup length dict begin + {1 index /FID ne {def} {pop pop} ifelse} forall + /Encoding WinAnsiEncoding def + currentdict +end +/Helvetica-Oblique exch definefont pop +/Times-BoldItalic findfont +dup length dict begin + {1 index /FID ne {def} {pop pop} ifelse} forall + /Encoding WinAnsiEncoding def + currentdict +end +/Times-BoldItalic exch definefont pop +/Courier findfont +dup length dict begin + {1 index /FID ne {def} {pop pop} ifelse} forall + /Encoding WinAnsiEncoding def + currentdict +end +/Courier exch definefont pop +/Times-Italic findfont +dup length dict begin + {1 index /FID ne {def} {pop pop} ifelse} forall + /Encoding WinAnsiEncoding def + currentdict +end +/Times-Italic exch definefont pop +/Times-Bold findfont +dup length dict begin + {1 index /FID ne {def} {pop pop} ifelse} forall + /Encoding WinAnsiEncoding def + currentdict +end +/Times-Bold exch definefont pop +%FOPEndFontReencode +%%EndProlog +%%Page: 1 1 +%%PageBoundingBox: 0 0 426 318 +%%BeginPageSetup +[1 0 0 -1 0 318] CT 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+0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 224.46 52.76014] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 225.78001 46.8975] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 227.09999 41.1779] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 228.42 35.22863] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 229.74001 40.30085] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 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+2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 241.71428 133.06237] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 244.07142 86.25921] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 246.42858 100.86542] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 248.78572 127.34071] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 251.14286 144.72578] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 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+0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 101.33334 102.77419] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 103.16667 95.50938] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 105 92.3662] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 106.83333 99.40274] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 108.66666 106.76035] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 110.5 96.31382] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 112.33333 91.54069] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 114.16667 80.62027] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 116 77.05824] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 117.83334 86.29004] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 119.66667 92.27824] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 121.5 84.66537] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 123.33333 79.11093] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 125.16666 71.1987] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 127 69.05542] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 128.83333 77.55875] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 130.66667 83.02398] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 132.5 78.72241] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 134.33334 74.03447] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 136.16667 68.46381] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 138 66.49386] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 139.83333 73.91134] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 141.66666 83.78263] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 143.5 79.39002] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 145.33333 73.9597] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 147.16667 68.43529] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 149 64.63593] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 150.83334 71.34527] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 152.66667 81.5949] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 154.5 80.69362] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 156.33333 74.43449] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 158.16666 67.05894] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 160 63.92228] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 161.83333 68.00923] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 163.66667 82.77261] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 165.5 85.33645] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 167.33334 80.01809] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 169.16667 70.51758] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 171 64.18321] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 172.83333 68.76552] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 174.66666 79.79939] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 176.5 84.79976] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 178.33333 81.96503] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 180.16667 73.73664] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 182 62.25036] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 183.83334 62.77563] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 185.66667 74.94902] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 187.5 82.67401] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 189.33333 85.68802] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 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ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 255.85714 52.00747] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 258.21428 54.31357] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 260.57142 62.35469] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 262.92858 63.20601] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 265.28572 69.0235] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L 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115.06882] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 189.33333 113.92076] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 191.16666 111.36384] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 193.00001 111.79508] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 194.83333 113.4469] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 196.66667 116.29964] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M 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134.27973] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 308.50001 78.80193] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 310.33333 101.13393] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 312.16667 126.5433] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 313.99999 107.72277] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 315.83334 134.11678] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M 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+2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 109.62 124.33504] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 110.94 119.12867] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 112.25999 113.73466] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 113.58 110.6323] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 114.9 111.85764] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 116.22001 110.12616] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 117.54 108.64754] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 118.86 101.82892] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 120.18 92.60989] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 121.5 89.26225] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 122.82 88.57125] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 124.14 91.34134] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 125.46 88.78774] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 126.77999 82.11872] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 128.1 77.67895] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 129.42 75.21748] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 130.74001 79.11005] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 132.06 84.07075] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 133.38 75.9139] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 134.7 68.28064] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 136.02 62.63204] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 137.34 62.91083] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 138.66 68.04394] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 139.98 71.58521] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 141.3 66.67498] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 142.62 59.24285] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 143.94 52.25112] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 145.25999 53.21219] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 146.58 58.30127] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 147.9 64.37165] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 149.22001 63.66556] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 150.54 56.08863] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 151.86 50.23192] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 153.18 47.63245] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 154.5 52.09616] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 155.82 60.77986] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 157.14 61.23383] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 158.46 52.13163] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 159.77999 47.99265] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 161.1 45.54751] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 162.42 50.81609] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 163.74001 59.71468] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 165.06 60.22386] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 166.38 55.05598] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 167.7 50.12068] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 169.02 45.69317] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 170.34 52.5168] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 171.66 59.65023] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 172.98 63.68988] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 174.3 58.8082] CT +0 0.447 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+-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 182.22001 61.35867] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 183.54 56.20108] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 184.86 50.67868] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 186.18 54.67056] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 187.5 62.62043] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 188.82 65.66227] CT +0 0.447 0.741 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L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 178.07143 154.84035] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 180.42857 153.36669] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 182.78571 151.41182] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 185.14286 148.91295] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 L +S +GR +GS +[0.75 0 0 0.75 187.5 147.37224] CT +0 0.447 0.741 RC +10.0 ML +0.667 LW +N +0 -4 M +0 4 L +-4 0 M +4 0 L +-2.828 -2.828 M +2.828 2.828 L +-2.828 2.828 M +2.828 -2.828 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