From a9c295655cc5761bfc2cb69dcb5a9ff828de78be Mon Sep 17 00:00:00 2001
From: noah <noah@theschricks.com>
Date: Mon, 21 Mar 2022 12:03:26 -0500
Subject: [PATCH] Subgraphing Performance Expectations

---
 Appendices.aux             |  16 +++++------
 Chapter5.aux               |   7 ++---
 Chapter5.tex               |   4 +++
 Chapter6.aux               |  36 ++++++++++++-------------
 Chapter7.aux               |   8 +++---
 Schrick-Noah_MS-Thesis.aux |   6 ++---
 Schrick-Noah_MS-Thesis.log |  26 +++++++++---------
 Schrick-Noah_MS-Thesis.pdf | Bin 1184836 -> 1185960 bytes
 Schrick-Noah_MS-Thesis.toc |  53 +++++++++++++++++++------------------
 9 files changed, 81 insertions(+), 75 deletions(-)

diff --git a/Appendices.aux b/Appendices.aux
index 4f08963..892a4c3 100644
--- a/Appendices.aux
+++ b/Appendices.aux
@@ -1,13 +1,13 @@
 \relax 
-\@writefile{toc}{\contentsline {section}{\hspace  {-\parindent }APPENDIX A:\ \ {\bf  \uppercase {THE FIRST APPENDIX}} }{50}{}\protected@file@percent }
-\newlabel{App:A}{{A}{50}}
-\@writefile{toc}{\contentsline {section}{\hspace  {-\parindent }APPENDIX B:\ \ {\bf  \uppercase {THE SECOND APPENDIX}} }{51}{}\protected@file@percent }
-\newlabel{App:B}{{B}{51}}
-\@writefile{toc}{\contentsline {section}{\numberline {B.1}\bf  A Heading in an Appendix}{51}{}\protected@file@percent }
-\@writefile{toc}{\contentsline {subsection}{\numberline {B.1.1}\it  A Subheading in an Appendix}{51}{}\protected@file@percent }
-\@writefile{toc}{\contentsline {subsubsection}{A Sub-subsection in an Appendix}{51}{}\protected@file@percent }
+\@writefile{toc}{\contentsline {section}{\hspace  {-\parindent }APPENDIX A:\ \ {\bf  \uppercase {THE FIRST APPENDIX}} }{51}{}\protected@file@percent }
+\newlabel{App:A}{{A}{51}}
+\@writefile{toc}{\contentsline {section}{\hspace  {-\parindent }APPENDIX B:\ \ {\bf  \uppercase {THE SECOND APPENDIX}} }{52}{}\protected@file@percent }
+\newlabel{App:B}{{B}{52}}
+\@writefile{toc}{\contentsline {section}{\numberline {B.1}\bf  A Heading in an Appendix}{52}{}\protected@file@percent }
+\@writefile{toc}{\contentsline {subsection}{\numberline {B.1.1}\it  A Subheading in an Appendix}{52}{}\protected@file@percent }
+\@writefile{toc}{\contentsline {subsubsection}{A Sub-subsection in an Appendix}{52}{}\protected@file@percent }
 \@setckpt{Appendices}{
-\setcounter{page}{52}
+\setcounter{page}{53}
 \setcounter{equation}{0}
 \setcounter{enumi}{4}
 \setcounter{enumii}{0}
diff --git a/Chapter5.aux b/Chapter5.aux
index bc14202..0d5580e 100644
--- a/Chapter5.aux
+++ b/Chapter5.aux
@@ -47,11 +47,12 @@
 \@writefile{toc}{\contentsline {subsubsection}{Worker Nodes}{41}{}\protected@file@percent }
 \@writefile{toc}{\contentsline {subsubsection}{Root Node}{42}{}\protected@file@percent }
 \@writefile{lof}{\contentsline {figure}{\numberline {5.9}{\ignorespaces Frontier Merging and Data Distribution Process\relax }}{43}{}\protected@file@percent }
-\newlabel{fig:Task1-Case1}{{5.9}{43}}
+\newlabel{fig:front-merg}{{5.9}{43}}
 \@writefile{toc}{\contentsline {subsubsection}{Database Node}{43}{}\protected@file@percent }
 \@writefile{toc}{\contentsline {subsection}{\numberline {5.4.3}\it  Performance Expectations}{43}{}\protected@file@percent }
+\@writefile{toc}{\contentsline {subsection}{\numberline {5.4.4}\it  Results}{44}{}\protected@file@percent }
 \@setckpt{Chapter5}{
-\setcounter{page}{44}
+\setcounter{page}{45}
 \setcounter{equation}{0}
 \setcounter{enumi}{4}
 \setcounter{enumii}{0}
@@ -62,7 +63,7 @@
 \setcounter{part}{0}
 \setcounter{chapter}{5}
 \setcounter{section}{4}
-\setcounter{subsection}{3}
+\setcounter{subsection}{4}
 \setcounter{subsubsection}{0}
 \setcounter{paragraph}{0}
 \setcounter{subparagraph}{0}
diff --git a/Chapter5.tex b/Chapter5.tex
index 78885ca..b49da59 100644
--- a/Chapter5.tex
+++ b/Chapter5.tex
@@ -187,4 +187,8 @@ The root node is also responsible for merging the subgraphs. The root node will
 A node dedicated to database operations is also present in this approach. The work performed for the subgraphing approach is identical to the work performed by Tasks 4 and 5 in the tasking approach, which is discussed in Section \ref{sec:T4T5}.
 
 \TUsubsection{Performance Expectations}
+This approach is intended to reduce runtime when the frontier grows at a rate faster than can be explored. However, since this approach is designed for distributed systems, there is no guarantee that speedup can be achieved when duplicate work is performed. Not only is there wasted time by the worker nodes when duplicate work occurs, but duplicate work also contributes to a longer runtime due to increased communication between nodes to adequately explore the graph, and also leads to increased numbers of merging calls by the root node. The ideal scenario for the subgraphing approach is when the graph is sparse, and the graph more aligns with a tree structure where each node only has one parent. When the graph is sparse, there is a lower likelihood of duplicate work occurring, since worker nodes have a lower probability of exploring a graph node that connects to a different graph node that has been (or will be) explored by another worker node. If each graph node were only able to have one parent, there is a lower likelihood that worker nodes would explore the same graph cluster.
+
+\TUsubsection{Results}
+
 
diff --git a/Chapter6.aux b/Chapter6.aux
index f29bb92..21c1ffb 100644
--- a/Chapter6.aux
+++ b/Chapter6.aux
@@ -1,23 +1,23 @@
 \relax 
-\@writefile{toc}{\contentsline {chapter}{\numberline {CHAPTER 6: }{\bf  \uppercase {PERFORMANCE ANALYSIS}}}{44}{}\protected@file@percent }
-\@writefile{toc}{\contentsline {section}{\numberline {6.1}\bf  Small Networks}{44}{}\protected@file@percent }
-\@writefile{toc}{\contentsline {subsection}{\numberline {6.1.1}\it  Test Information}{44}{}\protected@file@percent }
-\@writefile{toc}{\contentsline {subsection}{\numberline {6.1.2}\it  Results}{44}{}\protected@file@percent }
-\@writefile{toc}{\contentsline {subsection}{\numberline {6.1.3}\it  Analysis}{44}{}\protected@file@percent }
-\@writefile{toc}{\contentsline {section}{\numberline {6.2}\bf  Large Networks}{44}{}\protected@file@percent }
-\@writefile{toc}{\contentsline {subsection}{\numberline {6.2.1}\it  Test Information}{44}{}\protected@file@percent }
-\@writefile{toc}{\contentsline {subsection}{\numberline {6.2.2}\it  Results}{44}{}\protected@file@percent }
-\@writefile{toc}{\contentsline {subsection}{\numberline {6.2.3}\it  Analysis}{44}{}\protected@file@percent }
-\@writefile{toc}{\contentsline {section}{\numberline {6.3}\bf  Large Exploit Lists}{44}{}\protected@file@percent }
-\@writefile{toc}{\contentsline {subsection}{\numberline {6.3.1}\it  Test Information}{44}{}\protected@file@percent }
-\@writefile{toc}{\contentsline {subsection}{\numberline {6.3.2}\it  Results}{44}{}\protected@file@percent }
-\@writefile{toc}{\contentsline {subsection}{\numberline {6.3.3}\it  Analysis}{44}{}\protected@file@percent }
-\@writefile{toc}{\contentsline {section}{\numberline {6.4}\bf  Distributed Hash Tables}{44}{}\protected@file@percent }
-\@writefile{toc}{\contentsline {subsection}{\numberline {6.4.1}\it  Test Information}{45}{}\protected@file@percent }
-\@writefile{toc}{\contentsline {subsection}{\numberline {6.4.2}\it  Results}{45}{}\protected@file@percent }
-\@writefile{toc}{\contentsline {subsection}{\numberline {6.4.3}\it  Analysis}{45}{}\protected@file@percent }
+\@writefile{toc}{\contentsline {chapter}{\numberline {CHAPTER 6: }{\bf  \uppercase {PERFORMANCE ANALYSIS}}}{45}{}\protected@file@percent }
+\@writefile{toc}{\contentsline {section}{\numberline {6.1}\bf  Small Networks}{45}{}\protected@file@percent }
+\@writefile{toc}{\contentsline {subsection}{\numberline {6.1.1}\it  Test Information}{45}{}\protected@file@percent }
+\@writefile{toc}{\contentsline {subsection}{\numberline {6.1.2}\it  Results}{45}{}\protected@file@percent }
+\@writefile{toc}{\contentsline {subsection}{\numberline {6.1.3}\it  Analysis}{45}{}\protected@file@percent }
+\@writefile{toc}{\contentsline {section}{\numberline {6.2}\bf  Large Networks}{45}{}\protected@file@percent }
+\@writefile{toc}{\contentsline {subsection}{\numberline {6.2.1}\it  Test Information}{45}{}\protected@file@percent }
+\@writefile{toc}{\contentsline {subsection}{\numberline {6.2.2}\it  Results}{45}{}\protected@file@percent }
+\@writefile{toc}{\contentsline {subsection}{\numberline {6.2.3}\it  Analysis}{45}{}\protected@file@percent }
+\@writefile{toc}{\contentsline {section}{\numberline {6.3}\bf  Large Exploit Lists}{45}{}\protected@file@percent }
+\@writefile{toc}{\contentsline {subsection}{\numberline {6.3.1}\it  Test Information}{45}{}\protected@file@percent }
+\@writefile{toc}{\contentsline {subsection}{\numberline {6.3.2}\it  Results}{45}{}\protected@file@percent }
+\@writefile{toc}{\contentsline {subsection}{\numberline {6.3.3}\it  Analysis}{45}{}\protected@file@percent }
+\@writefile{toc}{\contentsline {section}{\numberline {6.4}\bf  Distributed Hash Tables}{45}{}\protected@file@percent }
+\@writefile{toc}{\contentsline {subsection}{\numberline {6.4.1}\it  Test Information}{46}{}\protected@file@percent }
+\@writefile{toc}{\contentsline {subsection}{\numberline {6.4.2}\it  Results}{46}{}\protected@file@percent }
+\@writefile{toc}{\contentsline {subsection}{\numberline {6.4.3}\it  Analysis}{46}{}\protected@file@percent }
 \@setckpt{Chapter6}{
-\setcounter{page}{46}
+\setcounter{page}{47}
 \setcounter{equation}{0}
 \setcounter{enumi}{4}
 \setcounter{enumii}{0}
diff --git a/Chapter7.aux b/Chapter7.aux
index 09bdb82..bd2f212 100644
--- a/Chapter7.aux
+++ b/Chapter7.aux
@@ -1,9 +1,9 @@
 \relax 
-\@writefile{toc}{\contentsline {chapter}{\numberline {CHAPTER 7: }{\bf  \uppercase {CONCLUSIONS AND FUTURE WORKS}}}{46}{}\protected@file@percent }
-\@writefile{toc}{\contentsline {section}{\numberline {7.1}\bf  Future Work}{46}{}\protected@file@percent }
-\newlabel{sec:FW}{{7.1}{46}}
+\@writefile{toc}{\contentsline {chapter}{\numberline {CHAPTER 7: }{\bf  \uppercase {CONCLUSIONS AND FUTURE WORKS}}}{47}{}\protected@file@percent }
+\@writefile{toc}{\contentsline {section}{\numberline {7.1}\bf  Future Work}{47}{}\protected@file@percent }
+\newlabel{sec:FW}{{7.1}{47}}
 \@setckpt{Chapter7}{
-\setcounter{page}{47}
+\setcounter{page}{48}
 \setcounter{equation}{0}
 \setcounter{enumi}{4}
 \setcounter{enumii}{0}
diff --git a/Schrick-Noah_MS-Thesis.aux b/Schrick-Noah_MS-Thesis.aux
index d121652..b1c2a2f 100644
--- a/Schrick-Noah_MS-Thesis.aux
+++ b/Schrick-Noah_MS-Thesis.aux
@@ -32,9 +32,9 @@
 \bibcite{cook_rage_2018}{9}
 \bibcite{berry_graph_2007}{10}
 \@writefile{toc}{{\hfill \ }}
-\@writefile{toc}{\contentsline {section}{\hspace  {-\parindent }NOMENCLATURE}{47}{}\protected@file@percent }
+\@writefile{toc}{\contentsline {section}{\hspace  {-\parindent }NOMENCLATURE}{48}{}\protected@file@percent }
 \@writefile{toc}{\addvspace {10pt}}
-\@writefile{toc}{\contentsline {section}{\hspace  {-\parindent }BIBLIOGRAPHY}{47}{}\protected@file@percent }
+\@writefile{toc}{\contentsline {section}{\hspace  {-\parindent }BIBLIOGRAPHY}{48}{}\protected@file@percent }
 \@writefile{toc}{{\hfill \ }}
 \bibcite{ainsworth_graph_2016}{11}
 \bibcite{yao_efficient_2018}{12}
@@ -54,4 +54,4 @@
 \bibcite{louthan_hybrid_2011}{26}
 \bibstyle{ieeetr}
 \@input{Appendices.aux}
-\gdef \@abspage@last{61}
+\gdef \@abspage@last{62}
diff --git a/Schrick-Noah_MS-Thesis.log b/Schrick-Noah_MS-Thesis.log
index 1f7055c..e9eb0a2 100644
--- a/Schrick-Noah_MS-Thesis.log
+++ b/Schrick-Noah_MS-Thesis.log
@@ -1,4 +1,4 @@
-This is pdfTeX, Version 3.141592653-2.6-1.40.23 (TeX Live 2021/Arch Linux) (preloaded format=pdflatex 2022.3.21)  21 MAR 2022 11:11
+This is pdfTeX, Version 3.141592653-2.6-1.40.23 (TeX Live 2021/Arch Linux) (preloaded format=pdflatex 2022.3.21)  21 MAR 2022 12:03
 entering extended mode
  restricted \write18 enabled.
  %&-line parsing enabled.
@@ -424,39 +424,39 @@ File: ./Chapter5_img/front_merge.drawio.png Graphic file (type png)
 Package pdftex.def Info: ./Chapter5_img/front_merge.drawio.png  used on input l
 ine 178.
 (pdftex.def)             Requested size: 469.75499pt x 206.4044pt.
- [42]) [43 <./Chapter5_img/front_merge.drawio.png>]
+ [42] [43 <./Chapter5_img/front_merge.drawio.png>]) [44]
 \openout2 = `Chapter6.aux'.
 
  (./Chapter6.tex
 CHAPTER 6.
-[44
+[45
 
 
 
 
-]) [45]
+]) [46]
 \openout2 = `Chapter7.aux'.
 
  (./Chapter7.tex
 CHAPTER 7.
-) [46
+) [47
 
 
 
 
-] (./Schrick-Noah_MS-Thesis.bbl [47
+] (./Schrick-Noah_MS-Thesis.bbl [48
 
 
 
-] [48])
+] [49])
 \c@appendixno=\count275
- [49]
+ [50]
 \openout2 = `Appendices.aux'.
 
- (./Appendices.tex [50
+ (./Appendices.tex [51
 
 ])
-[51] (./Schrick-Noah_MS-Thesis.aux (./Chapter1.aux) (./Chapter2.aux)
+[52] (./Schrick-Noah_MS-Thesis.aux (./Chapter1.aux) (./Chapter2.aux)
 (./Chapter3.aux) (./Chapter4.aux) (./Chapter5.aux) (./Chapter6.aux)
 (./Chapter7.aux) (./Appendices.aux))
 
@@ -491,10 +491,10 @@ ts/type1/public/amsfonts/cm/cmr12.pfb></usr/share/texmf-dist/fonts/type1/public
 y10.pfb></usr/share/texmf-dist/fonts/type1/public/amsfonts/cm/cmti12.pfb></usr/
 share/texmf-dist/fonts/type1/public/amsfonts/cm/cmtt12.pfb></usr/share/texmf-di
 st/fonts/type1/public/cm-super/sfrm1200.pfb>
-Output written on Schrick-Noah_MS-Thesis.pdf (61 pages, 1184836 bytes).
+Output written on Schrick-Noah_MS-Thesis.pdf (62 pages, 1185960 bytes).
 PDF statistics:
- 278 PDF objects out of 1000 (max. 8388607)
- 163 compressed objects within 2 object streams
+ 281 PDF objects out of 1000 (max. 8388607)
+ 165 compressed objects within 2 object streams
  0 named destinations out of 1000 (max. 500000)
  96 words of extra memory for PDF output out of 10000 (max. 10000000)
 
diff --git a/Schrick-Noah_MS-Thesis.pdf b/Schrick-Noah_MS-Thesis.pdf
index 407af0f9a19b87a3f7cbd33f261cc5b6380dfc39..75354b20b983f89c86655b76793a95a6c730937a 100644
GIT binary patch
delta 6674
zcmaiXWmFX47A-JH#|+)w-Q7bC-AH$LN)O$QFi1*+A|Wx9fHWdVw=^h?v@pQ)zI)&A
z_wU4B=X`5_XPvdrP_1fhvub24ax6+LAQm<DRV-R8dMrjPW-L}Lb}UXTZY*9bek;%(
z1(jb=oIghwpA8ydq@Gcs4D9{Uc+t%LiJYRq*fYsdWkuD*qczWW>|i>cCI$_l4(_=+
z*IzJ9v)RjKp1Y|mv0{8fkJ#f$34~Cg38V+^?{7bX-y3lGv6@pCtHwi)*m603gd_a3
zhR^Dt_t+8H;WYh+Hv2d5-N9WygOf^}WTvFRQCP7?Ih0N-kOL;q6s3Rq4Eiw{Of&fm
zRH;*q-hn;I4<`j}{L)Jehi3@z3x~3QPvm%aKbQKeS~92ij6*`|5R!waYo1#!I;cao
zV|^63eFUhg*_}Rb?$UP0=#dT6Yej2tB%@FlwZ@5+GZ2@~Fp%bcwMLC)0+Xj$>E<V;
zuN&5zLEn8~zp>}Y){<^9#uJ>upBhP}*!^5N`<mcr@$(EHg&Ug_fiN{@b%-tv-dn|@
zGdx`?A{#Ao9J@w!p-+HBiSNVBBcG#k)rN>)J>4h2C6LL7Mf7xZ$OERBid@0yL1jdO
z_hQ8=((?_!YwOS>40&94I+pv(>%@ZCR3|n<^q?j^4UCWtmFT3nwN|a#7v*B99UbSy
zvAA0`boZ{+R4@xcIb{jbo$sFZYVSt8Q%5e2c{p9J+fTj}^VcCpY1~e3xPASh&#vFr
z-ZRTnDI&A{xvw9%SqE!z;1HDR6Z9kP=){%XD~umEth3U$bH<O3(gJiZjJ2c$r_KXQ
z*P%GIa!NhwDxxgSVX&gzAPAUSz+yie8SfUOw4&}{_9FN|%QD~Rlji7=aEoQ$lm7%}
zkzhT=;xsz{pPcZ4yr!yl!sYei-MYmKhAKKgs92|mkYYY9cnw_3w{Mb{v>8gJC~9~h
zdnc>FYG{hF=Fhw~{jlX?M!FXSad7uLgEq0Kb_VFE+3sR$_YC#QpO8LoZ!{^mNWGoe
zV#4Fjl=%@dZyo|>81rW++n0_+!x{4FteDM~B%lf!d?#>kVG~j(DOP(mEg^L&&=h#w
zUUG1{`U<tP^zqPAD|~6^Vc)&jNj)!EEnw8qNb#yCau(AH(N0!B&rfj|xWn!J4Z0CL
zed)pBW~TyDfbC0}p1i@}6V^UIJ*#XPC{^H@rcBCqdKco61hG!f-yLf|pCS_}@xmTp
z!|rhvaqGqi{6v-3?k}nuG`b(H?3b`DzApEPFu>0DV~m4fJoE8t(`JAgc~vFnRd~F=
zMd|E!FAR{uBhec|IVyR)y!c3g8>lgUiD?Dr1j~0*rHsmnH@()8Qg0b4uX(R~<a{c(
zj>(-nUYQ!1SQml2=E!@iLwg=B5qXm7PDFrqa)N&Dm^X6jZ@aP7PULGwt65nr9KG{<
zvWl1BWPI&%TL{yTStQT;;zOeeypYxdz%8@SO%Fagn{kRX6>o!}E(m;z4E5sjX`CGL
z)y!}aa>u?9gw36NYG@5(<A+~Ft%l{XS(-^LgxL|mhJn(X3k^ML2u%~xBd61Cs-3rV
zgr(}ZwvlETSSjnDaI-z2g(q1|9#=<W?RA~U*I$*;gtWKOkRr{IkvL{lsFC_HH23Mq
zu0&U9+#=ztHIn2CWpb+1(BwNl=1fI6>M~)Ib&%FWEN!)i;NKOrUTo@;)|ggIxz81X
zXXv^7NsH9r?8cZO8(nl-lDxl9BPt7FF&VmdN<Cp5+2@k!=Xh12xCRxAXSi`zP6^#|
z5!g9RzmhEq+p7pGh%lJz{-!LaJVg&OugM2V;|*z>A}=1_Xzdt;K|^dB;Ta@N=D0tr
zP2<kdMAtMQrJbeP#4cPEGI97iJOtF7S>=Sb%J0i}9GyB#UFZD@OS>A$nKp4>sYS>v
z@Sqq6&71M;=boY+>Awuiz=@M^V-IYoU7|^*TOJfV(#xeXIbskgbU!**IFwfgM|THb
zEdPFD$8zwr_w)C4fWJcpP749}1^Hm~l0XjVWHa6X9}eoYwAD60`Oa#3jtD0KHJPr+
zP~`jRGJxyq3%UVXrf1I^IA`@CGeGcw?A14F(_mKXQ5{e3&l!I&sfzKlPXbJj1-}2D
z+Mm8w>r3wEw83)G2N5p>voM7EXPxLQxzrURUI-5}+g_Clz27^JJgRZK9qvI2;b-xH
zWuXEIVOWwtBAAOfkO!*m70pMMa2}CNvn}Vb`5eROM`lqZxIFRsBoZVl@HWo2J^YcF
zUcz79n^Z6R?(X_d=roN6XB0@M=0k@{_eK6aTb^8&J(m6f;}>P^DQ5y6f1++0z@h4$
z$tLb-J>gYsKl1$;Ae~)T(;YNy2h;sU-;4jNVr(SWdmvcM4*)%r;;ES^i0vQM<Jj|2
z2W&7gS2w7zV>oqcUiLty<~~%1&zF{m32NeNNl4eCe6Oqmxf7?i0y2O*&P&;P`X-fh
zQ~q%FZytIM!)McRt@6QG3Y4i9lBEUVmhYy1XGp)6r08nD=Na$QaEy?w?_$(>F()_O
zH__{@H0BWP&=L&jm^CSm{!(1l*Mj<;So)14Y-;9LsHMH(mEeTNO~MUmx!Lih&GG4z
z3Dk|JS&tM}2#1YH0BM1*Udx-Mq=a|_55J1WY98Ccwk3gVD8d5&`DIS1B=&$D5OqtY
z&vv4FM<g_~vC@F=eU&*Y2{IwZ9<n7D;!YV?(dL_1{K_a-BUjYoYl%^y8Ai{Lbs7D}
z7K4=Oyq*gKfi4<rfsncbRnqRV)?Haix69k5AQTh_%rAe;vX*vCczPij5n50o_xXB%
z)|I5@v(mc9<({3(I~qUYs8uwb60$Fxeb|eA9)XD~*q)*M75{l65$r(<NQ5FP{@-cL
zkj9VZ1IoRL7*0E#{$^pOrlOc=g$!WE8_~3&(nv%=ITxZ%d0=;!o~Jp6ns~q}!T5gJ
zNUm?GKmiBl4^#+Tp89nXR;vJWwr~0S#(h=`u2Gl?0!w(PE=hGyHXiyk2@y*o;c}mB
zlv<L&()VQ_cft;^OxCC$8cFN3>&E%zes8f*OP9rBD`HW-DbPH3>3Lac>Kk#=FpVhx
zWI&djssPy*`gm<#Y9R9$i7-&y0Tu-Yvcd7Bflg>R7{OjsFt2B1T7sta|IYQ88j!fA
z4h%%ci4JevNV9svcQJ|#`EO2L7f1~MsRq<T!#u@bzsKh=S)u%IhDz@rEmpcf38*@O
z`=}i#i4E|fA3$IWM!c}<B*xAkdUo8MS$n!e=#>r1QE%giqB;6Ql~x^^NTm?1TsOW&
z=isrVCn2d*srH_)3M6~xi}qZV#Vz_4Ao|UN<H?Yx?uhJDQO-P7peg~DA4~_KWg&cr
ztf0<{{r{GPjmLj1FW7rjAS$vDED8!Bg!AbEnUJxK(qJakEmp}IZkI4n0gwn;0Pe33
zY*t1Vg0mC=eR+{Z;P1wP$FGsa;BgEfZE6$|KKP<6D3S(6L;(KU669#`583w_6hs5t
zH~|sBAu}K=G8p9*hzQ<u2x0)hv~NL#@INP@8x$Dh1Be*Ldj(R0%Uyt0QDC-D|4=+v
zAUZ&<J^>Nj_7*e%Ko*2EKY(Na|Ek(Qfi6&xh1(1XXaOi<e6T<Ofz~SlK0!Wl*f@ZI
z=6~i1fB;S=jK!<$;_K&6CoCd>#jD}q>E!QBCm<%0ql3=@H8t}i>?DY|Yn<K{Z;K1)
zGt@PEg=u5bKsi8wHypEzlSDd-*FHG#{P1Kt8#GcvW=p7bI%pIuL{Yc!@Nm31DJX!(
zl21?|o>FK#OSulvPd_Vhp?sH}O&;gOp1(lxW}+y*N9eoTKU)7fhpL5;FqGul&IGSB
z=M1phbLHqkb(3teKjdPKp>q7uIEo~|wXxGdNt>nMh-xD2t(mU5j#i^PfwTl_pv}5Z
zb7VV$9WxyPkqjtp$hI|XfZ8br{`9*157zno)ioN{5_(ofe0J1F-0nA)3>7x@H5?Q5
z#?!9SE&Mtx(L9;uMfOwrq<E;x=e4v4X+Y^$Z#TfuF9M)FpuuEx<daAfl3TuwygGUs
z7uoNq%Pmy8ilS9WCba_Us{$n(#UIV8c*s5=WhAB)30E}DnMl<O8V@8&Z>+Hd6dgio
z2XlLV9kf+jMP+s!u2}r{A`Gl`IKQh@iGrKBgbFxanQ##ArN+xjH-2_YNAMMME&uFJ
zr3D^C(Lnx*QbA)YrO>lKq%DUR4sF(6<j`hl|Gn-_@YjtS9VM*vUUQ>bvLZw2UUY{A
zd;Wway(=2o`h&TTD@_G8i5g1UALnMap05Q%Id!%wQEHB;yU4#!i<so?(M(kv!{`{K
zbEha;IWaOyOA)%bev=j0kn8)#!2~kkdH5VOby;}O%VETE3xR|OW(voj)C;(P`~f?A
zj*bey9VFQHjPpJ0VtHp)5w?(6%yu3h+hd|St@9;VbscT7-t`sd!JqSikdG~~M-Qg&
zX#4l4?z?)8;J=Q~?;6kWpxn=pdw0^(XVz_Oi?B1tdw+!NQ0d{rQX*~S`GI+F+w3*8
zdG4?1lW5g7HG{&0%xUA2-h2=%y_16C>Xg~x!!pE<_b9Ep2pFDHEEL%P?HYi`L{WG5
zAp^ISDGiN+u|@foxP5i`y<~#95KVwges64bWKRs$<;Jbcxo4dso2seylbFgHbf(4w
z4(TE;^C{B~g(8bn*R~fc)7I6zrC^6*ylQ7eBSFf|p0-trENYHjL7jDe5AxNz^AU;4
zRepVKt)xgv%&Zm@Am<#lZhOb8W6N+j@Jy9G!c<6Y^0ADRjN8Q3I*#7*%lRD7CTkvB
zn}WZuD8$DXST`Ox>G@uWc?q`oB+SgceXs(#bkJ%fHrybAD8}%*U<`$8xi~^w7g?U!
zCJDw3lyr4xNygR-Gms;EE<pDNd+bFF<8vI4Z*r#PWf3^R)7A41(&-Ef^iw{UdeJB>
zY*=1YRFB#5*y%MSV?KLT?^Uz_nIp}s?HzTEbedQ^Qt|_Y*Ij7aN~2&k>7&EtkH-?(
zG2<WheAC!r9=V4`9}6wJ0<xeqYqN*B>IdiwN)83SJZ1ju=iK7-6E5eok>5m^cJyQ_
zFS)>`KWEiSkCFx}ErflWf3j2n(>y|OCHK=Njf<DcgB$iWZ1RFyxy|&=AT&a4ciy^n
zoTh2o0T&%$TnpXDh~lGpBgz5>_vBbj7rtgI+rha#pgpx{Cyh!(vJsTM?BkIBOfd_b
zPCdg!;uj@*PKl;^d6mt(M~Q*LN+mmNlh1N<L@@o3srCo5$Fg?9PXS2`yi(&fv-6qN
zaYI{t$|UhZhLReO*GutNiuwfa|0H>P(}UhA*QX18oVLbt3HM<cA08^xXD-wyrLfYK
z^$=MlG0EBal)CM&Qgj3*e$hKjUa~W#vER*|_hc_TPGhEGY2!;X_%MO99|qCynPG67
zBT#9JB55!vXLyH4;<DHp+@Q8TeWc<pFFccah{dVPAXBqAy?VgasY#(Nbbys$`Smpu
zgCFfwc9(=Ut}}8AGxvTcC09Ux*qk0O^&$T%&zc(Yk+ddECN2@me~2|(r9M*{%uh16
zKJxaKtg=0Cf_{D@B~}i})?h+fZT9q-WZo>tjcGMB_7;zI!RCRVn|d>6(fKz=M={4U
ze^qQflkq%wsIWD!N;-Q^{5c?-K{QgcOkX{BQ4*&u-}KPb%G1Q3k-~hZ_xIv>0Fi>{
zUpd`Hks#qEsjLF%Njl3?AY-mbLzRcE>JP<m*XFn10@?`IeUBIC9XiBI=Zxrj+^D;L
zySG|RCbZ1#+e%D0RXN3A&-a7`Uf(|#mfn_Z$mU@Y?|xk=ddKA>Tm0qh_2k*~%Xht_
zR)cNSKrfj}!u*uXbxQMRy|k&RKV;?^`l1GJRP^>MhOMP2pc{onX`Cz}i2d@ed+MGM
z8d;vS-%yX<H!}G%HYc(On!X=*_cG9a{Cn^-Hgt&giWR{Q9VxvcMP&BvsUV1<lNo<0
zpJipXSi{D&gNHY-?idj=^a*xMvb(>+hF-R4@AIuLFiS5FD|cXs&jo4KHHck9VXM??
zLYZAZnMN6?A)yRy_yKmWSg9eg6+(R97(w`w13j?1w|bfMr%JVs{rn;PH-h9#U$6N6
z&6eo&<Mj+nNE=g#%Tmp{=<fxqio0|n;jdHe_Y0pV&uNy!@NUtz(q2mz8pbFI15E5>
z8V;@o79AWNrSeN-h`pP?MXkigd_jL4^<o>s6V<bZ`o<0edlQg-0FT{&ZjRMrpW0KK
zH_dcK$Sk=zhE~Vj`4BqXBMXm8#ihEubbeygj3x1NDJk+;WAl=YEH#QYH-B9Ds>!No
zcdnm0FqeD?n}1pH`~W4N_7|rD;S;~BWM%YzvBSERRS9VWoUPIu4-kwDVO_Oa+9Qyz
zh%sE~tp3!&MIV{N#iU#<HT2Yb3u@SM=qlCWv9rB0_+>Xig$UmUEY=aC805qGXY1!k
zkm@>Nx4OPDH}=}=z@|6e=lAqnp?{T=k3ICWekS3yLrh)2c(})ub*BX~ikRLN;UDZB
z|4m5wy3<2*B2MAb`fGjI*;m+#e=W)5`-ZFxG|W2)qa{N`+qc0I>}=6n4AJu9A8VxD
zX`E9G`W$@ClW<zw-NS``Yy=kmB=eKLW4GVWj9WQ_wl~PTM>|4db&u6F#kr-z8NPs}
z<z8;oqnM%2%U;!9ns~QW%z80^_Uv|$blI}c(KZs|_Voel_~rywYe}T{kGlnTnW8Bu
z$3@}tsdx7R!`=O#3G~Mw(2!v7`?t>oEB&5LC+XGj73G;w?*(9wz^xLvVY$EFg8aIC
z@?@OYF`NrBH^G|}Y51|>-3MBY__?{6J)AG;8-1e)zOugUO|{cxo)Ff}-=RzUsI?7R
zB!^j8+rJ-Uf^(m<&QJJ^*)%q}D`g*{_{uGRqf@P!ZtR=F`sa>k4tI(yao)ZmSD7;=
ztT(B#{}GS*;Fh>3>TsNRBEi7AnrQD#|Jg#(CsfhRtTI5Z7o25YrYag)e}Z&r8!GqF
z?OLLwBYkv;gl6qF|8O8{ZP3K(^%9bJCtmF-AFWxCIcdf!&5ws<c)C+z{;h=~G$d5<
z*zZxITuZ~PC0ex|c*w)h0w|wK?MSbqTwHCF@66kE4`zM+!|)JXg{QF=2RWzwbv^JW
zIj{L(zl=BQBFI0vlV=!7-47GZxOXLNBJOWt^c%^;DcZC>_##&ym17qX3*+ku%&weU
zDM0ggw22!1yc)i|(N_~wn~=~FsHI7|YThy5djYe!)}L(&_0o<?`=KoCik*eN_>ynv
zu13M$E;FB!&n_8WAMLn#v>y&OUh9UjrLfxj#BudzwqKvlpM`gn50VxS6ABQ8M)TZt
zgwhV<3OFLJa~*n@80GT1e|F*<X0TL!`<WNY&ikyhd7H4hoG@iR1JB!>Rw`SQ8&q3&
zA|^L1DL1iHIh+`#(%X#h(ETFBd}f}Mi!d>Mf~Y>Z3>u3YsmG}E5z#DCoZ>cx7nR)j
z9y0^S5V&5QML7TWl0gyUhhYN==%Hc)7FfLcE+G#8MD{<yZA@pzPbWyn|1YTL<>gN&
zASzDBN2iCy3-NUH`Um0rpQlJ?CM7BiR^(F<5EB#N6B1VzQx*~v6afnh3n_{!2=mL!
z^UKiv{~<X48vRe?iwVO1oTG6-ndi*hi5$q#w$6)xu1xV*I99h_Z=qDRzCz}V<7ur5
zAY~&#uG3@R!sN2F#Tl}m$HvH2?V0(VM!(ESKZ3;1GDe+%TH%K*f=qzVk2d2ftV*Y>
zuQ~q`es?hb60s?o@Z<y)Y<ZCqq#d#*DKKMJ2la-Sf82MkOhmsDX+C&_GU2LcxK!pe
zC)-=U^GUOZAYo6jPtl3LZg|g0l7ntCk>mP$xncxsB=dXhg5lw6zG72+$goKz+M<|t
zbNc+ifw^uyYm3b%7!f4|;6AS16;8SvUWvJQlcao*iBkV4JsfP$Q$JtLDKSQHi9~q?
z5p=(J1vi%Dlnp?3iSm$vmM<%t+6<N+qbV(W1q+j82QC}yC*S2LH5CRVhsF1ii3FJG
zYMWu1=Nrsh1|V70>(8h20$A{l$vMf}0w$sw@yYlCwEaG+X89v;GJgoj$?eaeCF=<{
zHaupQzOZx+Y^zXOco=gHYAjw9%;T3)eAuRbR&6u9ID0E>&cYl7m4#M!<kd&rb$44G
z$vIe|jY(8mvUjf@*Wetcv&UHZ&b-{xrb%fmG6r0{-$4^doL@E)T}ON_<fPHFV+=-(
zc;Wt{EQ)Yb0v|jm1&HQojv=;082m)5R!J_|1p3x>!cuYQ{eDq`b)3ChLtNdNGZ?)~
z$-eI8+jT+GSjYIF(N>Q*E8)fI<94p8nI0Ht#nau_blrFA!hxBmW4%EWxX?c1Hr8=1
zd#_%XF>1*Vt8;todmFSmVR=$9>*K$Ej&)9?Cq>iu1;%xCkMrzJ8N{oM`;8SZ)M$oe
zorkRf)A1zJ{XbN9N@Lt<Q@WxQCl4{o1=X%jKK(7D$Kn`;%4q6g)coLdOw1Ug^kw|A
zn#e?FnE24T0!g<A-SmCzC@{z&PgJ8cD1=-le#<3IR!wwHdv=82CV_CZ*cP)*660r+
zTOics9$svhvhRd4LlhY$4R%4=1sM2&dUR5A<K_eUc^4Y2lZox6GsIV*wDZLeuV!-H
zOu6OOBji7-8Vv!mj64!mHfKIi|EZZX<yH){>oZCLZU&Z$^sfEBuNeNbl(_44=dufZ
y(>XcP!T6LH|A?urt;gUnZxDXc)fRdJb$%HYgHaF>&|(XTiHKq`Gb?E;WBng#f`0=5

delta 5651
zcmai2Wmpuz)|N&>cImE_kX~v*>0Cs*OF~4Dg_Vv)mRLfh!xa#40V(Nl=?;-@X;DB*
zYU%vE*ZcqbHSc@gGiT13dFFZMOi>lIy9gSB!b9Ps2vCG5A`~%-1VxIviy}jjqbN|6
zsCy`?T7V-yffQIO#UB3w(#A+9AyW*{f)fmqH1xRY*Myf<Cs`IxnGU&4g%d2<Jtvst
zojY0f8%)&sq7rt{3>ks%C<E>#aHieY@Ze3o|3~&R3tW~~#IP@7&Do*TQ0iS=F*}5=
zasKK%7~Bpr9l}?8`)F$95>}H!2@I3!g;pbZJD~*>V|8|hN(CUKp7-wr^p8W8{$%Fq
zph5C7ip90MkM^vd7Gtx&!x|I$>8{s1$EY+{=P_M&t}ou6P4~&3bv-}PZ?;RYA0$_@
zWO#PtdYeXT$;S{O&=H}*p!LHJbe5>2)m9jj;VY7kvD12m*(fA5^;T+dU-K=;m1WsP
zZOD~xKI({xpD_G|4AW`lHVjf5ZSAgeCKGwM!^EY?DRv59EpF#E)*>r5?{eL-Bg=C$
zav5ots@QDR>mxRq8=WDHT}d^~cseAPu+n@+Ox#U6+|qSNn)V2vIqF%ZQ5$QZ!<@@v
zNrAi*JzRgKX-bau>p+P#_nOY}(wp;Tt(UQF@a@Di<N@y~(uH40#<Da^42mvaj#E{q
zEWdt;H?aOdao)d?a>V<Qc;ZD!>daEbgVgA=KS3~2aHCK7=R>`jCE_8mp8MK5FyD;j
z5&5HhSwWKsc_w0l_mMGP7turWm?28NnNL4(`!71_n&$$t($!C|Z|^@JLY3Pws`Y>K
zOq&t#sEK-gLPQngdo70!l?TvZ0i=K)Npz7sKm@4_4-;dI+`EZk-wd4#78Yhr@7nnJ
zq2uYh=OnT9Nf;s8nm@}Gq+=MXu%^W1puLGxmpK-B#&|BJ*raycolQ#oo@m0z`(`K)
zj!mgRPmPpUm^{WN)_l-GO)E=$0N;8b``va;5z@}0mkw|F*`E!6h&ogFkigAimQ6F<
z#dHse!qtBeaizx3ffgqU3Q?-1q@wK6;QbG4()~DIS-sC0CkDuv!y!p|!aqlLWTfbK
z8gEQw#_!2JF3zjs`BYF1O?Wu5Siq0fN~3F1WtbygdqC<Y*6XVvb=fSQHO7J1_m%Aa
zawgK>_QWapQE4Mc?ADsea?Qf9HQ!7CQm-rFQ$KEz71ol4X{#aRrhVkMjvgNSjd<#4
zf|D3{avXIG{9d(wTep5)7Jzi+dSl3dwyH&wC;~VDBx=f5+R=fp0Gk~Ul-jn#e|DCS
z04yc(-^*q)+(OnVMoaXgMbD$p5gO=~l3AM<M#RRGDMJgxjB<$i?EfjVEb3%x^OCuI
zzm}#drhy(Ltcp<5E)}8ZX0b-i=&}@3aL4cyyyYD-w9xQio!?ZL^n%14GV6tWWPJ(0
zHqEc|fA<zXo|iMhLCI1lxTxg-p1zjw;m9;IzF}Mf3DkPvrD~365A22g!VcX7Bk<fk
z!MXoEf3%h&fDTUvjky2{AWagQ?u97<)Df)?-xeLroKAY)MFVW{2(*P_v*yg-1J02Q
zV`00xPQ(3KK2TG-0HxF=#<2Z6p8UdG=4<y$C^{)cO24lc>VL83uO2*b{aztZ*N)Om
zccBWa?Vh}@ED(u*jdk4;$sMk2UK+$~sV=|sQt*l>b)i~ZB`S1$DIrA4wwV7y57tS<
ztsajU>OGZNxP^VN?eZ$Gy;6HrEG8{Z#?v!p_UVszMk?3&9U3=T$A3kLD*@=R+RA_z
z#1w!4_%IrNgU4~Va{iwvtqh<mT-OAUP{h8jSc<c~rgG5<3HYatY5twatOqb8zDq~7
za7HEYaTfGXA<_fTp|eZ?vdH=S-{bqZnGJ}ILrL;uC=YIPl(?u33!7G!n(`W2c_SDN
z-cWyMp(Zc6!$Irv)lSs>x?X7FSW>Yuk>;`rG54t=ASy!WYXhv`9Ln<Iw~Hz&C=2fA
zdc1d`b+TM)&aKR;#XqQ{(&e|s>&2m>!be8-+}+X3+w-}-+kX%oohT0=L`RzdXt8dl
zfctpl^nC-R@w1{as;&qBO%-2K7F%TosM5d#qyLUHSl?`bttg(ve+VshYX~r7jwkg`
znc@Y?vEfTW{xM!Ppc^~Bl<YspVh5n1@xKtXSO6C2$o?+`4K{iTXv2t3BBZ9pp8o-I
z6QI4PfYeyw1K<fhzBB}FaSAlYzCHrZ;iFgo0O_!>Qy>Qcn)v`oi_N(Jb`qfPAN_?s
zH$XuGwD~EJ23vziy@ZdBz4#0B38^Uw@F5U%4GFa_5f}^>lR*=cQnUXLJ|LyWGD?t%
zYPfiMd2>oh{)JDTyT9;u<`kEaNYSSfKw4UP(KJv8pH__ilC6u7YScEFG*wnHf45f6
zCA6Y1Co`Pr@3B+*r?Rr`CTMZ|`!hWXj}QU&FW>UUpk>oDwpe!w(+4q+H@=bXy_!%V
zdW)c)n~*2{l|1_R?&pJ2ftA>f#k+9Mic(VIArsmvGWoJF=qRR+zMo_vO+T#=pAVTj
zZtM_|`?3rqp7c0OpEtK#>APjBQl96#$DBJ_q8G-Yv@E0~<FID^BuOh$K7v@&mBUob
zIH5N^6l7*$?@buIjk-I@&{*~5P~I)Cl6~EUWTI9jZK6{)p<tMdLF&1jg|;|Q$bg}h
zT0tNomOhjdVAatB1*k=*5j!o&7bEXT{TPZV`bY}XFnX{O7ClXUA6T3f2BmPU1cEg-
zNK(`^XtmNORi%NH80voKT#NhKN1a6dp-7_3ltPL-1xo3tlIYlJfNm-tQ%MOw1I3!k
zj?0;q3E9ZQcCEA%F~N|<Z$*<$2rM5}K}tkD!t5)7_$0UWy`&kf)twQ=Q{*ac*842?
zX*5JdVObGySaeelfFp{yi8OOWT#YG)x3U+)s{^awgTB-U=&?`ZHm6|bBeGZZ8(Oa)
zGB4x=)4~O4{r!3FU(+vAI5`hQRxNbR9&J&t<BT?85x$fw2Q?{*+xF!F-W@xrk*+94
zz~1Yz*hwkSj$^OykHe5$<V+CV&||;-;;p99h4=(l{wSWbTi#T`WvTvPl5Y^oM!M_8
zeSHWy6?5H;!*xNPSY~4+Rn0fEmCJ&a&rPk<Cz&gkfwx=bNT0LN{q)^^$W#Jq#OENL
zga78q&QBbq>&3WVy6ck6^ULqhtIV5B!wY(#z43CiZcN4xx>eW{By>KYFi7$49Guvd
z-^}E76k7@A4~%2p`dMP+$IDtcPaHjS$}7`jDc?#N5&s11YK$I>&AiztZPIC?s)Ec0
z`Lu!7C$3HW<6j=%USYy^QNd6wucSh5oMr<(uc6x`9WDdC50)lCGNDs?`a5Z+qd!YX
zWw%Ld;_}B-K&#E0$X|p6f^KW0;h(AJHuCkEvq)4(R&~vfVhNPFZKe~2r>lpuOQlB1
zW8;PDDm$qwxQ<*H*xvIzwlVSXglJWfSJd~r54nF#P1)AYyfNhwUYU}(r?JYQTR}IZ
zNt~=EiAw%?hQI6eSR&6W{ya}oyRtYVH#c86u>qUNeHGS4k31;uH{z-+l+rGNS|)!A
z777^k*s5XIOWFedmJ!;D!RLKRwwD-WJN61w!=Cu-3aXs&0gp3WqQuo>!rH*%p2$Ov
zhs^vz9+aKrnnJn+TbmRv84r`g`x{q1<Al+!Y3Zh)GoKdtB(cwoGu6JpfiSt^s<I>e
z^1s7De2%g-a!9Ho7y(V+`PVgz$l8lfX`$P1RHw_$Jc}23^NLKrq*Lys@|l)dt?ASS
zy060Q-}!qBTQ!t%Q_b}v>Wd~B%A{Yh$?Y1bnu%kU^CRb(wT)1}px@tVWM1${<Llfr
zkn%{`_6RC)?lD-9JTUggt<sxpg0+8NJ^prB<EB+BDTMUO(ezKLb%t?0Bd5^ukp1)<
z<_f(Fw%t*4HOl2T4qX*<VTMkqIC!*kk%RQ6*e4WP9QH$<9q^cQNJ%)-q3l(>W2GwL
z4-PMW3J>tCk8URq6(<PV8YsF+&(X^c9GLcsEdvXkhT4o9*N?jg!Yu<L=7pbowfLaA
zJjt7qe<B+P^@q`^zvAdE`m|Z6G%V}u)%e8OgvLuZ53PF^Mz=I!%2H#on`DAOnjE7S
zE^fH^g#s8SvsZ*>g`E&Esex(_YLik(TpQAm{O)jp^4-HHt<95ydV!@L17Aw;k3$Ov
z+PNHrZI9;O+P)?lTHmP7`~Gg6J$zEyQx-LcNJ28+ReBuQplQE|aZzq5^Avn@!j5U_
zT6y?H@yn-QuH(d%HbmH&9>p)IiD|1bPSJz|u1tGL&HV>(^O%J@(t=&WQWbuTFW*?D
zYuLJ5c!QYbyllN$eAyxrZ58xW>nNX&lx0J8eES4ud_igD*4p#kUq{sBvF4B08hh^s
zH~1i}rk>Z!=1iD!HoLJkZoq17N1|%R)*K!Vy!ccYPCnTj6nJ!Yvz>F2y`X5yO!uo}
z*801UN6yGozYjpa+B^s*5-sqdeRn9z8y|N!84*5UyEQf|%bvHVwH3Lw%U=>y%NVQK
zg-EIK5H86Mswxt_xl>Whm!J)D)#^L9(}+S=-F`(Jwl1Vx9)`*#Qmu&|CIty0Q}kAi
z&YvitqYfkFl10}91B7e`Zu>*!l2ii(T+ek|SyoQ*WLZIL>2he$d0~)f-=T``s<AF#
zU2`h>7$zy7hP0W&^*BFFl8{B?E>z`{aATSciEnWhHUmA&MgcsEU)$C+&$VuF%g85v
z9i$r0O}-mf)GckT3TMYZ{6;TV$D{+}xB~@)C9a49hkkFg<iS)c{e*+#UgDZaq;o=B
z@ccp3!%oL`1|v$-=JDI-&6Pgs=}c7XzwL;uOFe!}im>j;e^(6F;qt9d!_Nc>^_)pj
z7(*)CSZv$M)xYlzFka@-Jr7@*%0+6FW(^W|ogO<_w^>P^GaciLM@@i#y2!NDGrm&t
z+^f$1Kpk;xYZeaf;lBnH?)83t#a6+6ay79gt5U^Qp91{p%hYo8GyKtS>s@9poghif
zYuVO}fi}R(g!=11ai`67F369<4?`<R@V6gk1Q?I2x-R7#qmhE`13TY0QH4mV(|8Vc
z1G#SDl^>ZvU<sU>sskQJvY!3jCZo|keZHqUyd@mbM`b_zcBZ6pNjj@LYt=q8_mgye
znw!{>Z{DJ*RT+Yp#Ov_*>bl3yV~OH~HBNHQYu7=tA)_Lb%@>TgJ=^bC;Tlw!Q|Lc;
zqQv-|&p+{Wic$`~1|WNAR*?NCV@<4I@^%laSxX;Lnmm2osJj1!0AAR$anSXfD*m)z
zPjmiC%@ye8EBWV(Wyc$x$qe*{$0kqN@h;5)dozxuxiaE5G9dQ~*6`S^a>=q%p({}0
z5<K-*Wov4+HhU;)!h$k5eNo5#TKDb3uRc-s9mUJdo{kloK%VM|#SLUPTORnLY<*-v
zFl?qbxQ-h;*I8=Ca%7S@n<6-PVV+!o&Uqi=^SL~|gyTu%#KhPtMN9lrOV^bcW@aCr
zdZ5nm`ta!{Vt$RVs9cx+3L5e1=(?kM9dek(w$2=J^)uA=gd^4oN5sSh-NJSp;^|dr
z6u!mD-Zq6iPbd)OGe_3w_Gb&z9Q_8kxqp)eZtAGDz62RoML_+4=Zio$Sdui}>^=3D
zaoiL5v`rzMyCKsv8#;2qGzmJwa^-)(QxP<NQ8f*f?)Wj8A#?Z0izE8H5AqieVCDWS
z{#PPkw@1+`b&qm~8eY>F@D;?_sODQnmxyrtkgH`edC(X^N|AB!@I$x0G<fTfb<Zuq
zR{NyQ`=b^QT@Ka?XC|xHauht&><PNy84uMCdsIgnTx8kP{>JI{#IzBYBYtRRpQPAI
zW<(}?rk1VY{z-o14L66jdUliA(wCTK)Eha?rN;>NQf>wZjx2aXg*mjT<>Y-`VQJBo
zE!4!MVcs(Vi`-ROQ~cfjNgXTFI1pv`Jf<RU@e@_kwB`XuAX~qOuH;OmVH`Vy-Rojt
z!)yp;>sNiJ(P=20KQ&nRXxOWVv=}^fA}sRs!|tj=^0c-+{nnm-d#iYazQ%kxvF}9B
zWk@Sw>Gv8gV|hnpx%K*vqS{#>+oB2<rH{Y8^T+XM@EtCH%4oBcM7o>_VPCp9Go|(1
z#AzT1U@V0%S{4HD5{loFAZFdN|1}B_8MG5EH5U>hYeOb#<P!LtQyd~oCThlM1?H6C
z1phS}!r|V3jnbTAoQ7ngTJBEpzYOv}rp9R{2N8pS)x~7gR8%#<Y8q-P8q&&QQV_6&
zjH<Mxx~jCA0_XqlLiu;0|2^Yn#3BFfk$EO;V6-NT#6R}37H5Y=Y@7=8od;C3k%05!
zR9|gZD@*<`dVmX_I*_OVm6+R6!~h_>d+@Eh`@KesK{WUq(VLatXkO|M<N$*EH@%#O
z7D(q1lzH43t`&h>ZC*YdN?)u&3=ZDl27>_M7S8TzLMms6R+hrgK<aYuvDs3{Wj+`4
zz$YLoG1Ei}AzZvh_5Bc{7qo>*tU_j^H01q;(}(%g^uC|RdKr^9E4RqxSyD(%C9FJ%
zi^Ha-1x-`ZD;pSSU!+)6u8+{UYEi-tDBapVc-$)v_xUjW)!Hz`r={3jZ@uHf>ZqIA
zQ_*6uH)#Bh6?P<R>g3SOjXSOqN!dqh1(krUHcLB4U1yv9QmDRjqNA0Rc|mSJQ$kmF
z&27G^r_MG^{bL7}8(&X%=BaPcS4&avt+uye2jd$Eg;O!>H|90a<wGBaaL`OOLizRw
z5XA7K+?Q0z?*5{Z^>YWgFI)0SmIOIA*~(%CwK$qV97U!mi0sD|ym2bz-i%kw=Y9cy
z>_TvH_?nl6DsfVvOZ!xOurn0<jv~12?ak?}v!ieTX|ZY)EeG#*A~TC`7o})p!%usu
z$giON%ku4K-kojMl8)s;1-r!6?CCj+%8u@Z#)wpy+WNXlPv2KwN8UCG!U$%~n!;YO
z+1U2$Zc^S}RwJL6FfI_1G<aLeQFES^=GRLY$O^b1iy5iLpKY-%J|GNWoxPq}+}A^x
zAd+F4Cv%@87tTDUd=m>35s0{-x`&dUe5dtE61FlTbQI@Pf3_5~vz2#^1N<Sg5et16
zE-50b^G_vEO`5EIbH)=3UZhk{m`cVqO>m?D_Hu8p(<O-7rXO+&nnK%ItVbu&t-0#v
z3Cb!oCWjK`?h41qCaX`TnC$STIc9ubG;w>_58Arc26J=ecFfRyhQ>M<1=%<yGet{N
zJs9SmijMrve~8T3kKvO-VILKPnkTeE_uug}PxQ;Ff${=N*~k1-Oev$2A+;F^^;JO#
zX5gvqbjjU=VZ|~_DUibT8&l!vw&@5cJ*P;PWH<8a$NT1$daLbv?AU={-mhhw-Do%S
qE_sw0|0YP#AT4moC$Ig6gmS$Hj1Fd`<{+1VNd5gF;ZfJqAp1YS6s42^

diff --git a/Schrick-Noah_MS-Thesis.toc b/Schrick-Noah_MS-Thesis.toc
index 66f2e5e..3eb5a28 100644
--- a/Schrick-Noah_MS-Thesis.toc
+++ b/Schrick-Noah_MS-Thesis.toc
@@ -65,32 +65,33 @@
 \contentsline {subsubsection}{Root Node}{42}{}%
 \contentsline {subsubsection}{Database Node}{43}{}%
 \contentsline {subsection}{\numberline {5.4.3}\it Performance Expectations}{43}{}%
-\contentsline {chapter}{\numberline {CHAPTER 6: }{\bf \uppercase {PERFORMANCE ANALYSIS}}}{44}{}%
-\contentsline {section}{\numberline {6.1}\bf Small Networks}{44}{}%
-\contentsline {subsection}{\numberline {6.1.1}\it Test Information}{44}{}%
-\contentsline {subsection}{\numberline {6.1.2}\it Results}{44}{}%
-\contentsline {subsection}{\numberline {6.1.3}\it Analysis}{44}{}%
-\contentsline {section}{\numberline {6.2}\bf Large Networks}{44}{}%
-\contentsline {subsection}{\numberline {6.2.1}\it Test Information}{44}{}%
-\contentsline {subsection}{\numberline {6.2.2}\it Results}{44}{}%
-\contentsline {subsection}{\numberline {6.2.3}\it Analysis}{44}{}%
-\contentsline {section}{\numberline {6.3}\bf Large Exploit Lists}{44}{}%
-\contentsline {subsection}{\numberline {6.3.1}\it Test Information}{44}{}%
-\contentsline {subsection}{\numberline {6.3.2}\it Results}{44}{}%
-\contentsline {subsection}{\numberline {6.3.3}\it Analysis}{44}{}%
-\contentsline {section}{\numberline {6.4}\bf Distributed Hash Tables}{44}{}%
-\contentsline {subsection}{\numberline {6.4.1}\it Test Information}{45}{}%
-\contentsline {subsection}{\numberline {6.4.2}\it Results}{45}{}%
-\contentsline {subsection}{\numberline {6.4.3}\it Analysis}{45}{}%
-\contentsline {chapter}{\numberline {CHAPTER 7: }{\bf \uppercase {CONCLUSIONS AND FUTURE WORKS}}}{46}{}%
-\contentsline {section}{\numberline {7.1}\bf Future Work}{46}{}%
+\contentsline {subsection}{\numberline {5.4.4}\it Results}{44}{}%
+\contentsline {chapter}{\numberline {CHAPTER 6: }{\bf \uppercase {PERFORMANCE ANALYSIS}}}{45}{}%
+\contentsline {section}{\numberline {6.1}\bf Small Networks}{45}{}%
+\contentsline {subsection}{\numberline {6.1.1}\it Test Information}{45}{}%
+\contentsline {subsection}{\numberline {6.1.2}\it Results}{45}{}%
+\contentsline {subsection}{\numberline {6.1.3}\it Analysis}{45}{}%
+\contentsline {section}{\numberline {6.2}\bf Large Networks}{45}{}%
+\contentsline {subsection}{\numberline {6.2.1}\it Test Information}{45}{}%
+\contentsline {subsection}{\numberline {6.2.2}\it Results}{45}{}%
+\contentsline {subsection}{\numberline {6.2.3}\it Analysis}{45}{}%
+\contentsline {section}{\numberline {6.3}\bf Large Exploit Lists}{45}{}%
+\contentsline {subsection}{\numberline {6.3.1}\it Test Information}{45}{}%
+\contentsline {subsection}{\numberline {6.3.2}\it Results}{45}{}%
+\contentsline {subsection}{\numberline {6.3.3}\it Analysis}{45}{}%
+\contentsline {section}{\numberline {6.4}\bf Distributed Hash Tables}{45}{}%
+\contentsline {subsection}{\numberline {6.4.1}\it Test Information}{46}{}%
+\contentsline {subsection}{\numberline {6.4.2}\it Results}{46}{}%
+\contentsline {subsection}{\numberline {6.4.3}\it Analysis}{46}{}%
+\contentsline {chapter}{\numberline {CHAPTER 7: }{\bf \uppercase {CONCLUSIONS AND FUTURE WORKS}}}{47}{}%
+\contentsline {section}{\numberline {7.1}\bf Future Work}{47}{}%
 {\hfill \ }
-\contentsline {section}{\hspace {-\parindent }NOMENCLATURE}{47}{}%
+\contentsline {section}{\hspace {-\parindent }NOMENCLATURE}{48}{}%
 \addvspace {10pt}
-\contentsline {section}{\hspace {-\parindent }BIBLIOGRAPHY}{47}{}%
+\contentsline {section}{\hspace {-\parindent }BIBLIOGRAPHY}{48}{}%
 {\hfill \ }
-\contentsline {section}{\hspace {-\parindent }APPENDIX A:\ \ {\bf \uppercase {THE FIRST APPENDIX}} }{50}{}%
-\contentsline {section}{\hspace {-\parindent }APPENDIX B:\ \ {\bf \uppercase {THE SECOND APPENDIX}} }{51}{}%
-\contentsline {section}{\numberline {B.1}\bf A Heading in an Appendix}{51}{}%
-\contentsline {subsection}{\numberline {B.1.1}\it A Subheading in an Appendix}{51}{}%
-\contentsline {subsubsection}{A Sub-subsection in an Appendix}{51}{}%
+\contentsline {section}{\hspace {-\parindent }APPENDIX A:\ \ {\bf \uppercase {THE FIRST APPENDIX}} }{51}{}%
+\contentsline {section}{\hspace {-\parindent }APPENDIX B:\ \ {\bf \uppercase {THE SECOND APPENDIX}} }{52}{}%
+\contentsline {section}{\numberline {B.1}\bf A Heading in an Appendix}{52}{}%
+\contentsline {subsection}{\numberline {B.1.1}\it A Subheading in an Appendix}{52}{}%
+\contentsline {subsubsection}{A Sub-subsection in an Appendix}{52}{}%