From 9b2f9eabf92e3c728a1bdd36dd664278fb119287 Mon Sep 17 00:00:00 2001 From: noah Date: Tue, 18 Oct 2022 14:30:26 -0500 Subject: [PATCH] Minor formatting, data folder, additional edits --- Bibliography.bib | 16 + Schrick-Noah_CS-7863_Final-Report.aux | 8 +- Schrick-Noah_CS-7863_Final-Report.log | 48 +- Schrick-Noah_CS-7863_Final-Report.pdf | Bin 306195 -> 306486 bytes Schrick-Noah_CS-7863_Final-Report.tex | 28 +- data/CG_Files/Network_1/DOTFILE.dot | 15461 ++++++++++++++++ .../Network_1/car_timeline_maintenance.nm | 36 + .../Network_1/car_timeline_maintenance.xp | 107 + data/CG_Files/Network_1/edges.txt | 1 + data/CG_Files/Network_2/DOTFILE.dot | 11486 ++++++++++++ data/CG_Files/Network_2/edges.txt | 1 + data/CG_Files/Network_2/hipaa.nm | 101 + data/CG_Files/Network_2/hipaa.xp | 200 + data/CG_Files/Network_3/DOTFILE.dot | 294 + data/CG_Files/Network_3/PCI.nm | 21 + data/CG_Files/Network_3/PCI.xp | 104 + data/CG_Files/Network_3/edges.txt | 1 + data/CG_Files/manual_import.R | 14 + data/Formatted_Results.ods | Bin 0 -> 31769 bytes data/results.csv | 622 + 20 files changed, 28515 insertions(+), 34 deletions(-) create mode 100644 data/CG_Files/Network_1/DOTFILE.dot create mode 100644 data/CG_Files/Network_1/car_timeline_maintenance.nm create mode 100644 data/CG_Files/Network_1/car_timeline_maintenance.xp create mode 100644 data/CG_Files/Network_1/edges.txt create mode 100644 data/CG_Files/Network_2/DOTFILE.dot create mode 100644 data/CG_Files/Network_2/edges.txt create mode 100644 data/CG_Files/Network_2/hipaa.nm create mode 100644 data/CG_Files/Network_2/hipaa.xp create mode 100644 data/CG_Files/Network_3/DOTFILE.dot create mode 100644 data/CG_Files/Network_3/PCI.nm create mode 100644 data/CG_Files/Network_3/PCI.xp create mode 100644 data/CG_Files/Network_3/edges.txt create mode 100644 data/CG_Files/manual_import.R create mode 100644 data/Formatted_Results.ods create mode 100644 data/results.csv diff --git a/Bibliography.bib b/Bibliography.bib index 90089ba..dc5e20e 100644 --- a/Bibliography.bib +++ b/Bibliography.bib @@ -1434,4 +1434,20 @@ pages = {133–138}, numpages = {6}, location = {Boston, Massachusetts}, series = {IRE-AIEE-ACM '59 (Eastern)} +} + +@article{10.1145/3491257, +author = {Li, Ming and Hawrylak, Peter and Hale, John}, +title = {Strategies for Practical Hybrid Attack Graph Generation and Analysis}, +year = {2021}, +publisher = {Association for Computing Machinery}, +address = {New York, NY, USA}, +issn = {2692-1626}, +url = {https://doi.org/10.1145/3491257}, +doi = {10.1145/3491257}, +abstract = {As an analytical tool in cyber-security, an attack graph (AG) is capable of discovering multi-stage attack vectors on target computer networks. Cyber-physical systems (CPSs) comprise a special type of network that not only contains computing devices but also integrates components that operate in the continuous domain, such as sensors and actuators. Using AGs on CPSs requires that the system models and exploit patterns capture both token- and real-valued information. In this paper, we describe a hybrid AG model for security analysis of CPSs and computer networks. Specifically, we focus on two issues related to applying the model in practice: efficient hybrid AG generation and techniques for information extraction from them. To address the first issue, we present an accelerated hybrid AG generator that employs parallel programming and high performance computing (HPC). We conduct performance tests on CPU and GPU platforms to characterize the efficiency of our parallel algorithms. To address the second issue, we introduce an analytical regimen based on centrality analysis and apply it to a hybrid AG generated for a target CPS system to discover effective vulnerability remediation solutions.}, +note = {Just Accepted}, +journal = {Digital Threats}, +month = {oct}, +keywords = {attack graph, breadth-first search, cyber-physical system, high performance computing} } \ No newline at end of file diff --git a/Schrick-Noah_CS-7863_Final-Report.aux b/Schrick-Noah_CS-7863_Final-Report.aux index 4ea8899..525d24b 100644 --- a/Schrick-Noah_CS-7863_Final-Report.aux +++ b/Schrick-Noah_CS-7863_Final-Report.aux @@ -31,7 +31,7 @@ \@writefile{toc}{\contentsline {subsection}{\numberline {\mbox {I-A}}Attack Graphs}{1}{subsection.1.1}\protected@file@percent } \@writefile{toc}{\contentsline {subsection}{\numberline {\mbox {I-B}}Compliance Graphs}{1}{subsection.1.2}\protected@file@percent } \@writefile{toc}{\contentsline {subsection}{\numberline {\mbox {I-C}}Difficulties of Attack and Compliance Graph Analysis}{1}{subsection.1.3}\protected@file@percent } -\citation{ming_diss} +\citation{10.1145/3491257} \citation{Guo2017HermitianAM} \citation{Mieghem2018DirectedGA} \citation{Brualdi2010SpectraOD} @@ -68,10 +68,10 @@ \newlabel{eq:APC}{{6}{4}{Adapted Page Rank}{equation.4.6}{}} \@writefile{toc}{\contentsline {section}{\numberline {V}Transitive Closure}{4}{section.5}\protected@file@percent } \@writefile{toc}{\contentsline {subsection}{\numberline {\mbox {V-A}}Introduction and Application}{4}{subsection.5.1}\protected@file@percent } -\@writefile{toc}{\contentsline {section}{\numberline {VI}Dominant Tree}{4}{section.6}\protected@file@percent } -\@writefile{toc}{\contentsline {subsection}{\numberline {\mbox {VI-A}}Introduction and Application}{4}{subsection.6.1}\protected@file@percent } \@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces Example of Transitive Closure\relax }}{4}{figure.caption.1}\protected@file@percent } \newlabel{fig:TC}{{1}{4}{Example of Transitive Closure\relax }{figure.caption.1}{}} +\@writefile{toc}{\contentsline {section}{\numberline {VI}Dominant Tree}{4}{section.6}\protected@file@percent } +\@writefile{toc}{\contentsline {subsection}{\numberline {\mbox {VI-A}}Introduction and Application}{4}{subsection.6.1}\protected@file@percent } \newlabel{fig:preDtree}{{\caption@xref {fig:preDtree}{ on input line 187}}{5}{Introduction and Application}{figure.caption.2}{}} \newlabel{fig:post-Dtree}{{3}{5}{}{figure.caption.3}{}} \@writefile{lot}{\contentsline {table}{\numberline {II}{\ignorespaces Top 15 Nodes with Degree Centrality\relax }}{5}{table.2}\protected@file@percent } @@ -81,11 +81,11 @@ \@writefile{toc}{\contentsline {section}{\numberline {VII}Results and Result Analysis}{5}{section.7}\protected@file@percent } \newlabel{sec:results}{{VII}{5}{Results and Result Analysis}{section.7}{}} \@writefile{toc}{\contentsline {subsection}{\numberline {\mbox {VII-A}}Results}{5}{subsection.7.1}\protected@file@percent } -\@writefile{toc}{\contentsline {subsection}{\numberline {\mbox {VII-B}}Result Analysis}{5}{subsection.7.2}\protected@file@percent } \@writefile{lot}{\contentsline {table}{\numberline {IV}{\ignorespaces Top 15 Nodes with K-path Edge Centrality\relax }}{6}{table.4}\protected@file@percent } \newlabel{table:car-kpe}{{IV}{6}{Top 15 Nodes with K-path Edge Centrality\relax }{table.4}{}} \@writefile{lot}{\contentsline {table}{\numberline {V}{\ignorespaces Top 15 Nodes with PageRank Centrality\relax }}{6}{table.5}\protected@file@percent } \newlabel{table:car-APC}{{V}{6}{Top 15 Nodes with PageRank Centrality\relax }{table.5}{}} +\@writefile{toc}{\contentsline {subsection}{\numberline {\mbox {VII-B}}Result Analysis}{6}{subsection.7.2}\protected@file@percent } \@writefile{lot}{\contentsline {table}{\numberline {VI}{\ignorespaces Top 15 Nodes with Betweenness Centrality\relax }}{6}{table.6}\protected@file@percent } \newlabel{table:car-betweenness}{{VI}{6}{Top 15 Nodes with Betweenness Centrality\relax }{table.6}{}} \bibdata{Bibliography} diff --git a/Schrick-Noah_CS-7863_Final-Report.log b/Schrick-Noah_CS-7863_Final-Report.log index 037f739..21ad6f8 100644 --- a/Schrick-Noah_CS-7863_Final-Report.log +++ b/Schrick-Noah_CS-7863_Final-Report.log @@ -1,4 +1,4 @@ -This is pdfTeX, Version 3.141592653-2.6-1.40.24 (TeX Live 2022/Arch Linux) (preloaded format=pdflatex 2022.4.29) 11 OCT 2022 17:29 +This is pdfTeX, Version 3.141592653-2.6-1.40.24 (TeX Live 2022/Arch Linux) (preloaded format=pdflatex 2022.4.29) 18 OCT 2022 14:14 entering extended mode restricted \write18 enabled. %&-line parsing enabled. @@ -547,11 +547,19 @@ Underfull \hbox (badness 10000) in paragraph at lines 68--70 [] +Underfull \vbox (badness 10000) has occurred while \output is active [] + + Underfull \hbox (badness 3128) in paragraph at lines 81--82 \OT1/ptm/m/n/10 compliance graphs is focused less on certain security [] +Underfull \hbox (badness 2245) in paragraph at lines 84--85 +\OT1/ptm/m/n/10 undirected counterparts. 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Analysis Using Network Theory Principles } \author{ @@ -81,13 +81,13 @@ Compliance graphs are an alternate form of attack graphs, utilized specifically The semantics of compliance graphs are similar to that of attack graphs, but with a few differences regarding the information at each state. While security and compliance statuses are related, the information that is analyzed in compliance graphs is focused less on certain security properties, and is expanded to also examine administrative policies and properties of systems. Since compliance and regulation is broad and can vary by industry and application, the information to analyze can range from safety regulations, maintenance compliance, or any other regulatory compliance. However, the graph structure of compliance graphs is identical to that of attack graphs, where edges represent a modification to the systems, and nodes represent all current information in the system. \subsection{Difficulties of Attack and Compliance Graph Analysis} -Analysis of directed graphs is not as simple as their undirected counterparts, and attack and compliance graphs are directed acyclic graphs. The primary contributor to the increased difficulty is due to the asymmetric adjacency matrix present in directed graphs. With undirected graphs, simplifications can be made in the analysis process both computationally and conceptually. Since the ``in" degrees are equal to the ``out" degrees, less work is required both in terms of parsing the adjacency matrix, but also in terms of determining importance of nodes. The author of \cite{newman2010networks} discusses that common analysis techniques such as eigenvector centrality is often unapplicable to directed acyclic graphs. As the author of \cite{Mieghem2018DirectedGA} discusses, the difficulty of directed graphs also extends to the graph Laplacian, where the definition for asymmetric adjacency matrices is not uniquely defined, and is based on either row or column sums computing to zero, but both cannot. The author of \cite{Mieghem2018DirectedGA} continues to discuss that directed graphs lead to complex eigenvalues, and can lead to adjacency matrices that are unable to be diagonalized. These challenges require different approaches for typical clustering or centrality measures. +Attack and compliance graphs are directed acyclic graphs, and analysis of directed graphs is not as simple as their undirected counterparts. The primary contributor to the increased difficulty is due to the asymmetric adjacency matrix present in directed graphs. With undirected graphs, simplifications can be made in the analysis process both computationally and conceptually. Since the ``in" degrees are equal to the ``out" degrees, less work is required both in terms of parsing the adjacency matrix, but also in terms of determining importance of nodes. The author of \cite{newman2010networks} discusses that common analysis techniques such as eigenvector centrality is often unapplicable to directed acyclic graphs. As the author of \cite{Mieghem2018DirectedGA} discusses, the difficulty of directed graphs also extends to the graph Laplacian, where the definition for asymmetric adjacency matrices is not uniquely defined, and is based on either row or column sums computing to zero, but both cannot. The author of \cite{Mieghem2018DirectedGA} continues to discuss that directed graphs lead to complex eigenvalues, and can lead to adjacency matrices that are unable to be diagonalized. These challenges require different approaches for typical clustering or centrality measures. \section{Related Works} -The author of \cite{ming_diss} presents three centrality measures that were applied to various attack graphs. The centrality measures implemented were Katz, K-path Edge, and Adapted PageRank. Each of these centrality measures are applicable to the directed format of attack graphs, and conclusions can be drawn regarding patching schemes for preventing exploits. As an approach for avoiding complex eigenvalues, the authors of \cite{Guo2017HermitianAM} present work examining directed, undirected, and mixed graphs using its Hermitian adjacency matrix. Other works, such as that discussed by the author of \cite{Mieghem2018DirectedGA} include mathematical manipulation of directed graph spectra (originally presented by the author of \cite{Brualdi2010SpectraOD}) with Schur's Theorem to bound eigenvalues and allow for explicit computation, which can then be used for additional analysis metrics. +The author of \cite{10.1145/3491257} presents three centrality measures that were applied to various attack graphs. The centrality measures implemented were Katz, K-path Edge, and Adapted PageRank. Each of these centrality measures are applicable to the directed format of attack graphs, and conclusions can be drawn regarding patching schemes for preventing exploits. As an approach for avoiding complex eigenvalues, the authors of \cite{Guo2017HermitianAM} present work examining directed, undirected, and mixed graphs using its Hermitian adjacency matrix. Other works, such as that discussed by the author of \cite{Mieghem2018DirectedGA} include mathematical manipulation of directed graph spectra (originally presented by the author of \cite{Brualdi2010SpectraOD}) with Schur's Theorem to bound eigenvalues and allow for explicit computation, which can then be used for additional analysis metrics. \section{Experimental Networks} \label{sec:networks} -The work conducted in this approach utilized three compliance graphs, with their properties displayed in Table \ref{table:networks}. Connectivity in this table refers to the mean degree, divided by the number of nodes in the network, multiplied by 100 to get the number in a percentage form. Network 1 is a vehicle maintenance network. This network has one car asset that is deemed ``brand new", and has no mileage. This network is examined at its current state, and progresses through time with time steps of 1 month, up to 12 months total. At each time step the car gains mileage and increases its age property, and is reexamined to evaluate its standing in regards to its vehicular regulatory maintenance schedule. Network 2 is an artificial company network that is attempting to maintain HIPAA compliance \cite{noauthor_health_1996}. This network examines its standing in relation to security properties that are required per HIPAA guidelines, as well as employee cooperation to training and administrative policies. This network is also progressed through time to illustrate the company's standing in relation to yearly audits and trainings that must be followed. Employees are also added and removed through the network at set points during the time progression process. Network 3 is another artificial company network. This company is attempting to maintain PCI DSS compliance \cite{PCI}. This network generation was static and did not progress through time. This network examined the company and its current state, and examined all changes that could occur. These changes were primarily tied to security properties such as physical break-ins on the property, firewalls being disabled, default system settings, and encryption expiration. +The work conducted in this approach utilized three compliance graphs, with their properties displayed in Table \ref{table:networks}. Connectivity in this table refers to the mean degree, divided by the number of nodes in the network, multiplied by 100 to get the number in a percentage form. Network 1 is a vehicle maintenance network. This network has one car asset that is deemed ``brand new", and has zero mileage. This network is examined at its current state, and progresses through time with time steps of 1 month, up to 12 months total. At each time step the car gains mileage and increases its age property, and is reexamined to evaluate its standing in regards to its vehicular regulatory maintenance schedule. Network 2 is an artificial company network that is attempting to maintain HIPAA compliance \cite{noauthor_health_1996}. This network examines its standing in relation to security properties that are required per HIPAA guidelines, as well as employee cooperation to training and administrative policies. This network is also progressed through time to illustrate the company's standing in relation to yearly audits and trainings that must be followed. Employees are also added and removed through the network at set points during the time progression process. Network 3 is another artificial company network. This company is attempting to maintain PCI DSS compliance \cite{PCI}. This network generation was static and did not progress through time. This network examined the company and its current state, and examined all changes that could occur. These changes were primarily tied to security properties such as physical break-ins on the property, firewalls being disabled, default system settings, and encryption expiration. \begin{table}[] \centering @@ -108,7 +108,7 @@ The work conducted in this approach utilized three compliance graphs, with their The author of \cite{PMID:30064421} provides a survey of centrality measures, and discusses how various centrality measures have been implemented and brought forth in order to determine node importance in networks. By determining the importance of nodes, various conclusions can be drawn regarding the network. In the case of compliance graphs, conclusions can be drawn regarding the prioritization of patching or correction schemes. If one node is known to lead to the creation of many other nodes, it may be said that a patch is imperative to prevent further opportunities for compliance violation. This work discusses five centrality measures, and discusses their application to compliance graphs. \subsection{Degree} -Degree centrality is a trivial, localized measure of node importance based on the number of edges that a node has. In an undirected graph, the degree centrality is predicated solely on the number of edges. However, in the case of a directed graph, a distinction is drawn with a degree centrality oriented on the number of edges coming into a node, and another measure focused on the number of edges leaving a node. Both of these cases provide useful information for compliance graphs. When a node has a large number of other nodes it points to, this node may be prioritized since it creates further opportunity for violation. When a node has a large number of edges pointing to it, this node may be prioritized since the probability that systems may enter this state is higher due to the increased number of ways that a system could lead to this state. +Degree centrality is a trivial, localized measure of node importance based on the number of edges that a node has. In an undirected graph, the degree centrality is predicated solely on the number of edges. However, in the case of a directed graph, a distinction is drawn with a degree centrality oriented on the number of edges coming into a node, and another measure focused on the number of edges leaving a node. Both of these cases provide useful information for compliance graphs. When a node has a large number of other nodes it points to, this node may be prioritized since it creates further opportunity for violation. When a node has a large number of edges pointing to it, this node may be prioritized since the probability that systems may enter this state is higher due to the increased number of possibilities that a system change could lead to this state. \subsection{Betweenness}\label{sec:between} Betweenness centrality ranks node importance based on its ability to transfer information flow in a network. For all pairs of nodes in a network, a shortest path is determined. A node that is in this shortest path is considered to have importance. The total betweenness centrality is based on the number of shortest paths that pass through a given node. For compliance graphs, the shortest paths are useful to identify the quickest way that systems may fall out of compliance. By prioritizing the nodes that fall in the highest number of shortest paths, correction schemes can be employed to prolong or prevent systems from falling out of compliance. @@ -116,23 +116,23 @@ Betweenness centrality ranks node importance based on its ability to transfer in Betweenness centrality is given in Equation \ref{eq:between}, where \textit{i} and \textit{j} are two different, individual nodes in the network, $\sigma_{ij}$ is the total number of shortest paths from \textit{i} to \textit{j}, and $\sigma _{ij}(v)$ is the number of shortest paths that include a node \textit{v}. \begin{equation} -\sum_{i \neq i \neq v} \frac{\sigma_{ij}(v)}{\sigma_{ij}} -\label{eq:between} + \sum_{i \neq i \neq v} \frac{\sigma_{ij}(v)}{\sigma_{ij}} + \label{eq:between} \end{equation} \subsection{Katz} Katz centrality was first introduced by the author of \cite{Katz}, and measures the importance of nodes through all paths in a network. Katz centrality varies in that its centrality measure is not limited to solely the shortest path between any two given nodes. The original work by the author defines Katz as seen in Equation \ref{eq:Katz}, where \textit{i} and \textit{j} are nodes in the network, \textit{n} is the total number of nodes in the network, \textit{A} is the adjacency matrix, and $\alpha$ is an attenuation factor and has a value between 0 and 1. From this, a value of 1 is assigned if node \textit{i} is connected to node \textit{j}. \begin{equation} -C_{\mathrm {Katz} }(i)=\sum _{k=1}^{\infty }\sum _{j=1}^{n}\alpha ^{k}(A^{k})_{ji} -\label{eq:Katz} + C_{\mathrm {Katz} }(i)=\sum _{k=1}^{\infty }\sum _{j=1}^{n}\alpha ^{k}(A^{k})_{ji} + \label{eq:Katz} \end{equation} Later works have expanded on the original Katz to include a $\beta$ vector that allows for additional scaling in the instance that prior knowledge of the network exists. The modified equation can be seen in Equation \ref{eq:mod_katz}. \begin{equation} -\vec{x} = \left(I - \alpha A \right)^{-1}\vec{\beta} -\label{eq:mod_katz} + \vec{x} = \left(I - \alpha A \right)^{-1}\vec{\beta} + \label{eq:mod_katz} \end{equation} For compliance graphs, Katz centrality represents the total number of paths that exist from a given node to any other downstream nodes, and is scaled based on the attenuation factor as well as the prior knowledge vector $\beta$. When the Katz centrality of a given node is high, prioritizing a correction scheme for the node would be useful to prevent opportunity of future compliance violations that may be many steps ahead, but still reachable from the current state. @@ -162,7 +162,7 @@ The adapted PageRank algorithm includes additional data that may be present in a \label{eq:APC} \end{equation} -For compliance graphs, the Adapted Page Rank algorithm is useful for a few reasons. First, it is able to include user-defined data regarding the network. This could include scaling certain nodes to have greater weight, such as those known to be a compromised state. Second, since nodes are penalized for pointing to other nodes, this algorithm is useful for determining nodes that are likely to be visited. If a state has a greater in degree, it may need prioritization since the system has a higher likelihood of being placed in this state. +For compliance graphs, the Adapted Page Rank algorithm is useful for a few reasons. First, it is able to include user-defined data regarding the network. This could include scaling certain nodes to have greater weight, such as those known to be a compromised state. Second, since nodes are penalized for pointing to other nodes, this algorithm is useful for determining nodes that are likely to be visited. If a state has a greater in degree, it may require greater prioritization since the system has a higher likelihood of falling into this state. \section{Transitive Closure} \subsection{Introduction and Application} @@ -686,9 +686,9 @@ In this section, only results for the car network are displayed for brevity. The \end{table} \subsection{Result Analysis} -When viewing the results of the car networks, unsurprisingly, each centrality method ranks nodes in a different order. These differences in rankings can be used based on additional metrics, such as severity, cost, or disturbance of systems, to identify correction schemes best suited for a given network. However, degree centrality and K-path edge centrality rankings for the top 15 were identical for the car network. This also extends to the HIPAA network, as seen in Appendix \ref{apx:hipaa}, but does not extend to the PCI DSS network. The value for \textit{k} in K-path edge centrality was set to 3. With a relatively small \textit{k} value in comparison to the overall size of the car and HIPAA networks, coupled with the high degree count of the top 15 nodes ranked with degree centrality, it is likely that the high degree count correlates to the K-path edge centrality scoring. This reasoning extends to the PCI DSS network, where the network is substantially smaller and there is a greater connectivity percent. +When viewing the results of the car networks, unsurprisingly, each centrality method ranks nodes in a different order. These differences in rankings can be used based on additional metrics, such as severity, cost, or disturbance of systems, to identify correction schemes best suited for a given environment. However, degree centrality and K-path edge centrality rankings for the top 15 were identical for the car network. This also extends to the HIPAA network, as seen in Appendix \ref{apx:hipaa}, but does not extend to the PCI DSS network. The value for \textit{k} in K-path edge centrality was set to 3. With a relatively small \textit{k} value in comparison to the overall size of the car and HIPAA networks, coupled with the high degree count of the top 15 nodes ranked with degree centrality, it is likely that the high degree count correlates to the K-path edge centrality scoring. This reasoning extends to the PCI DSS network, where the network is substantially smaller and there is a greater connectivity percent. -Comparing the transitive closure format of compliance graphs, the associated centrality rankings greatly vary from their original compliance graph rankings. As expected however, the root or leaf node has the highest centrality value. Since the root node can reach all nodes, and the leaf node can be reached by all nodes, these two nodes are expectedly ranked high. What is unexpected, however, is that the top 15 rankings are not comprised of the most upstream 15 nodes or the 15 most downstream nodes. While rankings do tend to be higher for more upstream for K-path edge, Katz, and degree centralities, nodes in the 100s, 200s, and 300s all make appearances. Betweenness centrality for the transitive closure representation yielded no valuable insight, since shortest paths to a node from any given node is reachable in 1 step. +Comparing the transitive closure format of compliance graphs, the associated centrality rankings greatly vary from their original compliance graph rankings. As expected however, the root or leaf node has the highest centrality value. Since the root node can reach all nodes, and the leaf node can be reached by all nodes, these two nodes are expectedly ranked high. What is unexpected, however, is that the top 15 rankings are not comprised of the most upstream 15 nodes or the 15 most downstream nodes. While rankings do tend to be higher for more upstream for K-path edge, Katz, and degree centralities, nodes in the 100s, 200s, and 300s (``midstream" nodes) all make appearances. Betweenness centrality for the transitive closure representation yielded no valuable insight, since shortest paths to a node from any given node is reachable in 1 step. For the dominant tree representation, it was initially hypothesized that nodes ranked highly in the original compliance graph's betweenness centrality or Katz centrality measures would closely relate to the dominant tree results. However, the dominant tree rankings also vary greatly from the original compliance graph's rankings. Even nodes that saw no appearances in the top 15 of the base compliance graph or transitive closure representation made appearances in the dominant tree results. 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+2484->2490 [label=7]; +2485->2490 [label=0]; +2486->2490 [label=6]; +2487->2490 [label=5]; +2488->2490 [label=2]; +2489->2490 [label=4]; +} diff --git a/data/CG_Files/Network_1/car_timeline_maintenance.nm b/data/CG_Files/Network_1/car_timeline_maintenance.nm new file mode 100644 index 0000000..bd89fa6 --- /dev/null +++ b/data/CG_Files/Network_1/car_timeline_maintenance.nm @@ -0,0 +1,36 @@ +network model = + assets: + # Cars + car1; + + facts: + # Features + quality:car1,brake_months=0; + quality:car1,exhaust_months=0; + quality:car1,ac_odometer=0; + quality:car1,vacuum_odometer=0; + quality:car1,oil_odom=0; + quality:car1,driveshaft_odom=0; + quality:car1,coolant_odom=0; + quality:car1,parkingbrake_months=0; + quality:car1,brakepipe_months=0; + quality:car1,brakehoses_months=0; + quality:car1,engine=diesel; + quality:car1,TIME_ADVANCE_STEP=0; + + # Vio Status + quality:car1,brake_vio=false; + quality:car1,exhaust_vio=false; + quality:car1,ac_vio=false; + quality:car1,vacuum_vio=false; + quality:car1,oil_vio=false; + quality:car1,driveshaft_vio=false; + quality:car1,coolant_vio=false; + quality:car1,parkingbrake_vio=false; + quality:car1,brakepipe_vio=false; + quality:car1,brakehoses_vio=false; + quality:car1,compliance_vios=0; + + topology:car1<->car1,road; + tags: +. diff --git a/data/CG_Files/Network_1/car_timeline_maintenance.xp b/data/CG_Files/Network_1/car_timeline_maintenance.xp new file mode 100644 index 0000000..e2f02b0 --- /dev/null +++ b/data/CG_Files/Network_1/car_timeline_maintenance.xp @@ -0,0 +1,107 @@ +exploit brake_pads(a)= + preconditions: + quality:a,brake_months>=6; + quality:a,brake_vio=false; + postconditions: + update quality:a,brake_vio=true; + update quality:a,compliance_vios+=1; +. + +exploit exhaust_pipes(a)= + preconditions: + quality:a,exhaust_months>=12; + quality:a,exhaust_vio=false; + postconditions: + update quality:a,compliance_vios+=1; + update quality:a,exhaust_vio=true; +. + +exploit ac_filter(a)= + preconditions: + quality:a,ac_odometer>=12000; + quality:a,ac_vio=false; + postconditions: + update quality:a,compliance_vios+=1; + update quality:a,ac_vio=true; +. + +exploit vacuum_pump(a)= + preconditions: + quality:a,vacuum_odometer>=120000; + quality:a,engine=diesel; + quality:a,vacuum_vio=false; + postconditions: + update quality:a,compliance_vios+=1; + update quality:a,vacuum_vio=true; +. + +exploit engine_oil(a)= + preconditions: + quality:a,oil_odom>=6000; + quality:a,oil_vio=false; + postconditions: + update quality:a,oil_vio=true; + update quality:a,compliance_vios+=1; +. + +exploit driveshaft_boots(a)= + preconditions: + quality:a,driveshaft_odom>=12000; + quality:a,driveshaft_vio=false; + postconditions: + update quality:a,driveshaft_vio=true; + update quality:a,compliance_vios+=1; +. + +exploit engine_coolant(a)= + preconditions: + quality:a,coolant_odom>=24000; + quality:a,coolant_vio=false; + postconditions: + update quality:a,coolant_vio=true; + update quality:a,compliance_vios+=1; +. + +exploit parking_brake(a)= + preconditions: + quality:a,parkingbrake_months>=6; + quality:a,parkingbrake_vio=false; + postconditions: + update quality:a,parkingbrake_vio=true; + update quality:a,compliance_vios+=1; +. + +exploit brake_pipes(a)= + preconditions: + quality:a,brakepipe_months>=12; + quality:a,brakepipe_vio=false; + postconditions: + update quality:a,brakepipe_vio=true; + update quality:a,compliance_vios+=1; +. + +exploit brake_hoses(a)= + preconditions: + quality:a,brakehoses_months>=12; + quality:a,brakehoses_vio=false; + postconditions: + update quality:a,brakehoses_vio=true; + update quality:a,compliance_vios+=1; +. + +time group exploit time_advance(a)= + preconditions: + quality:a,TIME_ADVANCE_STEP<13; + postconditions: + update quality:a,brake_months+=1; + update quality:a,vacuum_odometer+=10000; + update quality:a,ac_odometer+=10000; + update quality:a,exhaust_months+=1; + update quality:a,oil_odom+=10000; + update quality:a,driveshaft_odom+=10000; + update quality:a,coolant_odom+=10000; + update quality:a,parkingbrake_months+=1; + update quality:a,brakepipe_months+=1; + update quality:a,brakehoses_months+=1; + update quality:a,TIME_ADVANCE_STEP+=1; +. diff --git a/data/CG_Files/Network_1/edges.txt b/data/CG_Files/Network_1/edges.txt new file mode 100644 index 0000000..167bfb9 --- /dev/null +++ b/data/CG_Files/Network_1/edges.txt @@ -0,0 +1 @@ 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b/data/CG_Files/Network_2/edges.txt new file mode 100644 index 0000000..c2f0b09 --- /dev/null +++ b/data/CG_Files/Network_2/edges.txt @@ -0,0 +1 @@ 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diff --git a/data/CG_Files/Network_2/hipaa.nm b/data/CG_Files/Network_2/hipaa.nm new file mode 100644 index 0000000..5cd0e5f --- /dev/null +++ b/data/CG_Files/Network_2/hipaa.nm @@ -0,0 +1,101 @@ +network model = + assets: + # Employees + emp1; + emp2; + emp3; + emp4; + emp5; + + # "Company" Asset + company; + + # Database Asset + db; + + facts: + # Employee Info yr/mo/day + quality:emp1,current_emp=true; + quality:emp2,current_emp=true; + quality:emp3,current_emp=true; + quality:emp4,current_emp=true; + quality:emp5,current_emp=true; + + quality:emp1,TIME_ADVANCE_STEP=0; + quality:emp2,TIME_ADVANCE_STEP=0; + quality:emp3,TIME_ADVANCE_STEP=0; + quality:emp4,TIME_ADVANCE_STEP=0; + quality:emp5,TIME_ADVANCE_STEP=0; + + quality:emp1,hipaa_training_date=20220210; + quality:emp2,hipaa_training_date=20210823; + quality:emp3,hipaa_training_date=20210510; + quality:emp4,hipaa_training_date=20220307; + quality:emp5,hipaa_training_date=20211124; + + quality:emp1,pol_proc_attestation=20210510; + quality:emp2,pol_proc_attestation=20220307; + quality:emp3,pol_proc_attestation=20211124; + quality:emp4,pol_proc_attestation=20210823; + quality:emp5,pol_proc_attestation=20220210; + + quality:emp5,hipaa_compliance_officer=true; + quality:emp4,hipaa_privacy_officer=true; + quality:emp3,hipaa_security_officer=true; + quality:emp5,can_rm_emp=true; + quality:emp4,can_rm_emp=true; + quality:emp3,can_rm_emp=true; + + quality:emp1,has_pin=true; + quality:emp2,has_pin=true; + quality:emp3,has_pin=true; + quality:emp4,has_pin=true; + quality:emp5,has_pin=true; + + quality:emp1,uses_mobile=true; + quality:emp2,uses_mobile=false; + quality:emp3,uses_mobile=false; + quality:emp1,mobile_regs=true; + quality:emp4,uses_mobile=false; + quality:emp5,uses_mobile=true; + quality:emp5,mobile_regs=true; + + quality:emp1,compliance_vios=0; + quality:emp2,compliance_vios=0; + quality:emp3,compliance_vios=0; + quality:emp4,compliance_vios=0; + quality:emp5,compliance_vios=0; + + # Company Info + quality:company,ephi_lock=true; + quality:company,hw_inventory=true; + quality:company,date=05032022; + quality:company,can_add_emp=true; + + quality:company,sec_risk_assessment=20210913; + quality:company,priv_stand_audit=20211105; + quality:company,hitech_audit=20210515; + quality:company,sec_stand_audit=20210713; + quality:company,asset_dev_audit=20220327; + quality:company,phys_audit=20220413; + + quality:company,deficiencies_logged=20220413; + quality:company,oldest_def_log=20160413; + + quality:company,breach_process=true; + quality:company,anon_reports=true; + + quality:company,compliance_vios=0; + + quality:company,TIME_ADVANCE_STEP=0; + + # Database Info + quality:db,encryption=AES256; + quality:db,cert_expir=20220701; + quality:db,expired_cert=false; + + quality:db,compliance_vios=0; + + topology:emp1<->company,comp; + tags: +. diff --git a/data/CG_Files/Network_2/hipaa.xp b/data/CG_Files/Network_2/hipaa.xp new file mode 100644 index 0000000..fdd7793 --- /dev/null +++ b/data/CG_Files/Network_2/hipaa.xp @@ -0,0 +1,200 @@ +exploit hipaa_training(a)= + preconditions: + quality:a,current_emp=true; + quality:a,hipaa_training_date<=20210503; + postconditions: + update quality:a,compliance_vios+=1; +. + +exploit pol_proc_attest(a)= + preconditions: + quality:a,current_emp=true; + quality:a,pol_proc_attestation<=20210503; + postconditions: + update quality:a,compliance_vios+=1; +. + +exploit comp_officer(a)= + preconditions: + quality:a,hipaa_compliance_officer=false; + postconditions: + update quality:a,compliance_vios+=1; +. + +exploit priv_officer(a)= + preconditions: + quality:a,hipaa_privacy_officer=false; + postconditions: + update quality:a,compliance_vios+=1; +. + +exploit sec_officer(a)= + preconditions: + quality:a,hipaa_security_officer=false; + postconditions: + update quality:a,compliance_vios+=1; +. + +exploit access_control(a)= + preconditions: + quality:a,current_emp=true; + quality:a,has_pin=false; + postconditions: + update quality:a,compliance_vios+=1; +. + +exploit mobile(a)= + preconditions: + quality:a,uses_mobile=true; + quality:a,mobile_regs=false; + postconditions: + update quality:a,compliance_vios+=1; +. + +exploit lock(a)= + preconditions: + quality:a,ephi_lock!=true; + postconditions: + update quality:a,compliance_vios+=1; +. + +exploit inventory(a)= + preconditions: + quality:a,hw_inventory=false; + postconditions: + update quality:a,compliance_vios+=1; +. + +exploit risk_asses(a)= + preconditions: + quality:a,sec_risk_assessment<=20210503; + postconditions: + update quality:a,compliance_vios+=1; +. + +exploit priv_asses(a)= + preconditions: + quality:a,priv_stand_audit<=20210503; + postconditions: + update quality:a,compliance_vios+=1; +. + +exploit hitech_asses(a)= + preconditions: + quality:a,hitech_audit<=20210503; + postconditions: + update quality:a,compliance_vios+=1; +. + +exploit sec_asses(a)= + preconditions: + quality:a,sec_stand_audit<=20210503; + postconditions: + update quality:a,compliance_vios+=1; +. + +exploit dev_asses(a)= + preconditions: + quality:a,asset_dev_audit<=20210503; + postconditions: + update quality:a,compliance_vios+=1; +. + +exploit phys_assess(a)= + preconditions: + quality:a,phys_audit<=20210503; + postconditions: + update quality:a,compliance_vios+=1; +. + +exploit breach(a)= + preconditions: + quality:a,breach_process=false; + postconditions: + update quality:a,compliance_vios+=1; +. + +exploit report(a)= + preconditions: + quality:a,anon_reports!=true; + postconditions: + update quality:a,compliance_vios+=1; +. + +exploit insecure_data(a)= + preconditions: + quality:a,encryption!=true; + postconditions: + update quality:a,compliance_vios+=1; +. + +exploit expired_c(a)= + preconditions: + quality:a,cert_expir<=20220503; + postconditions: + update quality:a,expired_cert=true; +. + +exploit insecure_db(a)= + preconditions: + quality:a,expired_cert=true; + postconditions: + update quality:a,compliance_vios+=1; +. + +exploit new_emp(a,b)= + preconditions: + quality:a,can_add_emp=true; + topology:a<->b,comp; + postconditions: + update quality:a,can_add_emp=false; + update quality:a,hw_inventory=false; + update quality:b,mobile_regs=false; +. + +exploit rm_emp(a)= + preconditions: + quality:a,can_rm_emp=true; + quality:a,hipaa_compliance_officer=true; + postconditions: + update quality:a,hipaa_compliance_officer=false; + update quality:a,current_emp=false; +. + +exploit phys_vio(a)= + preconditions: + quality:a,ephi_lock=false; + postconditions: + update quality:a,compliance_vios+=1; +. + +exploit break_lock(a)= + preconditions: + quality:a,ephi_lock=true; + postconditions: + update quality:a,ephi_lock=false; +. + +time group exploit time_emp_advance(a)= + preconditions: + quality:a,TIME_ADVANCE_STEP<13; + quality:a,current_emp=true; + postconditions: + update quality:a,hipaa_training_date-=100; + update quality:a,pol_proc_attestation-=100; +. + +time group exploit time_comp_advance(a)= + preconditions: + quality:a,TIME_ADVANCE_STEP<13; + quality:a,date=05032022; + postconditions: + update quality:a,hw_inventory=true; + update quality:a,sec_risk_assessment-=100; + update quality:a,priv_stand_audit-=100; + update quality:a,hitech_audit-=100; + update quality:a,sec_stand_audit-=100; + update quality:a,asset_dev_audit-=100; + update quality:a,phys_audit-=100; +. + diff --git a/data/CG_Files/Network_3/DOTFILE.dot b/data/CG_Files/Network_3/DOTFILE.dot new file mode 100644 index 0000000..599c161 --- /dev/null +++ b/data/CG_Files/Network_3/DOTFILE.dot @@ -0,0 +1,294 @@ +strict digraph G { +0; +1; +2; +3; +4; +5; +6; +7; +8; +9; +10; +11; +12; +13; +14; +15; +16; +17; +18; +19; +20; +21; +22; +23; +24; +25; +26; +27; +28; +29; +30; +31; +32; +33; +34; +35; +36; +37; +38; +39; +40; +41; +42; +43; +44; +45; +46; +47; +48; +49; +50; +51; +52; +53; +54; +55; +56; +57; +58; +59; +60; +0->1 [label=0]; +0->2 [label=11]; +0->3 [label=12]; +1->4 [label=1]; +1->5 [label=11]; +1->6 [label=12]; +1->7 [label=13]; +2->5 [label=0]; +2->8 [label=2]; +2->9 [label=12]; +3->6 [label=0]; +3->10 [label=5]; +3->9 [label=11]; +4->11 [label=1]; +4->12 [label=11]; +4->13 [label=12]; +4->14 [label=13]; +5->12 [label=1]; +5->12 [label=2]; +5->15 [label=12]; +5->16 [label=13]; +6->13 [label=1]; +6->13 [label=5]; +6->15 [label=11]; +6->17 [label=13]; +7->14 [label=1]; +7->16 [label=11]; +7->17 [label=12]; +7->18 [label=14]; +8->12 [label=0]; +8->19 [label=2]; +8->20 [label=12]; +9->15 [label=0]; +9->20 [label=2]; +9->20 [label=5]; +10->13 [label=0]; +10->21 [label=5]; +10->20 [label=11]; +11->22 [label=1]; +11->23 [label=11]; +11->24 [label=12]; +11->25 [label=13]; +12->23 [label=1]; +12->23 [label=2]; +12->26 [label=12]; +12->27 [label=13]; +13->24 [label=1]; +13->24 [label=5]; +13->26 [label=11]; +13->28 [label=13]; +14->25 [label=1]; +14->27 [label=11]; +14->28 [label=12]; +14->29 [label=14]; +15->26 [label=1]; +15->26 [label=2]; +15->26 [label=5]; +15->30 [label=13]; +16->27 [label=1]; +16->27 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+. diff --git a/data/CG_Files/Network_3/PCI.xp b/data/CG_Files/Network_3/PCI.xp new file mode 100644 index 0000000..6ba93b5 --- /dev/null +++ b/data/CG_Files/Network_3/PCI.xp @@ -0,0 +1,104 @@ +exploit break_lock(a)= + preconditions: + quality:a,lock=true; + postconditions: + update quality:a,lock=false; +. + +exploit lock(a)= + preconditions: + quality:a,lock=false; + postconditions: + update quality:a,compliance_vios+=1; +. + +exploit firewall(a)= + preconditions: + quality:a,firewall_on=false; + postconditions: + update quality:a,compliance_vios+=1; +. + +exploit def(a)= + preconditions: + quality:a,defaults=true; + postconditions: + update quality:a,compliance_vios+=1; +. + +exploit insec_transmission(a)= + preconditions: + quality:a,https=false; + postconditions: + update quality:a,compliance_vios+=1; +. + +exploit insec_data(a)= + preconditions: + quality:a,encryption=false; + postconditions: + update quality:a,compliance_vios+=1; +. + +exploit virus(a)= + preconditions: + quality:a,antivirus=false; + postconditions: + update quality:a,compliance_vios+=1; +. + +exploit updates(a)= + preconditions: + quality:a,pc_updates=false; + postconditions: + update quality:a,compliance_vios+=1; +. + +exploit AC(a)= + preconditions: + quality:a,access_control=false; + postconditions: + update quality:a,compliance_vios+=1; +. + +exploit ID(a)= + preconditions: + quality:a,unique_ID=false; + postconditions: + update quality:a,compliance_vios+=1; +. + +exploit logs(a)= + preconditions: + quality:a,logging=false; + postconditions: + update quality:a,compliance_vios+=1; +. + +exploit power_outage(a)= + preconditions: + quality:a,firewall_on=true; + postconditions: + update quality:a,firewall_on=false; +. + +exploit enc_expir(a)= + preconditions: + quality:a,encryption=true; + postconditions: + update quality:a,encryption=false; +. + +exploit break_in(a)= + preconditions: + quality:a,lock=false; + postconditions: + insert quality:a,malicious_actor=true; +. + +exploit reset_router(a)= + preconditions: + quality:a,malicious_actor=true; + postconditions: + update quality:a,defaults=true; +. diff --git a/data/CG_Files/Network_3/edges.txt b/data/CG_Files/Network_3/edges.txt new file mode 100644 index 0000000..e28b951 --- /dev/null +++ b/data/CG_Files/Network_3/edges.txt @@ -0,0 +1 @@ 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diff --git a/data/CG_Files/manual_import.R b/data/CG_Files/manual_import.R new file mode 100644 index 0000000..b8a65f0 --- /dev/null +++ b/data/CG_Files/manual_import.R @@ -0,0 +1,14 @@ +import_networks <- function(int){ + if (int == 1){ + g <- 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+ } else if (int == 2){ + g <- 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+ } else if (int == 3){ + g <- graph.formula(0-+1,0-+2,0-+3,1-+4,1-+5,1-+6,1-+7,2-+5,2-+8,2-+9,3-+6,3-+10,3-+9,4-+11,4-+12,4-+13,4-+14,5-+12,5-+12,5-+15,5-+16,6-+13,6-+13,6-+15,6-+17,7-+14,7-+16,7-+17,7-+18,8-+12,8-+19,8-+20,9-+15,9-+20,9-+20,10-+13,10-+21,10-+20,11-+22,11-+23,11-+24,11-+25,12-+23,12-+23,12-+26,12-+27,13-+24,13-+24,13-+26,13-+28,14-+25,14-+27,14-+28,14-+29,15-+26,15-+26,15-+26,15-+30,16-+27,16-+27,16-+30,16-+31,17-+28,17-+28,17-+30,17-+32,18-+29,18-+29,18-+31,18-+32,19-+23,19-+33,19-+34,20-+26,20-+34,20-+34,21-+24,21-+35,21-+34,22-+4,22-+36,22-+37,22-+38,23-+36,23-+36,23-+39,23-+40,24-+37,24-+37,24-+39,24-+41,25-+38,25-+40,25-+41,25-+42,26-+39,26-+39,26-+39,26-+43,27-+40,27-+40,27-+43,27-+44,28-+41,28-+41,28-+43,28-+45,29-+42,29-+42,29-+44,29-+45,30-+43,30-+43,30-+43,30-+46,31-+44,31-+44,31-+44,31-+46,32-+45,32-+45,32-+45,32-+46,33-+36,33-+8,33-+47,34-+39,34-+47,34-+47,35-+37,35-+10,35-+47,36-+12,36-+12,36-+48,36-+49,37-+13,37-+13,37-+48,37-+50,38-+14,38-+49,38-+50,38-+51,39-+48,39-+48,39-+48,39-+52,40-+49,40-+49,40-+52,40-+53,41-+50,41-+50,41-+52,41-+54,42-+51,42-+51,42-+53,42-+54,43-+52,43-+52,43-+52,43-+55,44-+53,44-+53,44-+53,44-+55,45-+54,45-+54,45-+54,45-+55,46-+55,46-+55,46-+55,46-+55,47-+48,47-+20,47-+20,48-+26,48-+26,48-+26,48-+56,49-+27,49-+27,49-+56,49-+57,50-+28,50-+28,50-+56,50-+58,51-+29,51-+29,51-+57,51-+58,52-+56,52-+56,52-+56,52-+59,53-+57,53-+57,53-+57,53-+59,54-+58,54-+58,54-+58,54-+59,55-+59,55-+59,55-+59,55-+59,56-+43,56-+43,56-+43,56-+60,57-+44,57-+44,57-+44,57-+60,58-+45,58-+45,58-+45,58-+60,59-+60,59-+60,59-+60,59-+60,60-+55,60-+55,60-+55,60-+55 ) + } else{ + g <- 0 + } + + return(g) +} + \ No newline at end of file diff --git a/data/Formatted_Results.ods b/data/Formatted_Results.ods new file mode 100644 index 0000000000000000000000000000000000000000..d7dd163511e1471dc1331ded1af42909d9715a5d GIT binary patch literal 31769 zcmb5V1yozXw>Juu0;NzW1&Tw9ySueTi(5zuRvZ$fxLeVd;ts_<5GWE{ixqEyB)D4% z?#`q4TlahKt@Z!zTQ4hT&17cwoGml^?D=IME!9WZq!<`@7#PqD9YC19_*Whb42*x* zLlcIBor9H|_a`f}PoM1VEX>^OoE&*Q94&dA%v|kUd7M63Ia)edxI0)my79PvaM&G|6R|NhWF)a0BTt?g{wUH)q}R{>r-2QwQhSKfDaZVqOjTzUV`#8m%* z*wxL<&E3`9%;kTeqxlbXW)>D!_Erx(IQ{>n{N&PE6KTG(ZsI2Xs%-pR0C+YqZk8Vy*_Mglgt?d7Q^7xPL|K<@75AVO0(}OVo z`$O`}na7+h7wor&Bom!(-l~43dTR zm_&W;Lg;qR8N>$vfLVcvwEGjh24`>|&fvgns=>$7L!<37=QxX76F@w>pD=5~vu_x!bQy#1Te0-LM2&AKCcfKru~DlT5#x$XF4Obm>WM;I9YYw`al_5Igwv~n}!@p7<_ z)*XtO=N^}>2&5h?RhohT9@e${>-*|1gZm3p~pQ~s8+YW78Aq$crDVQRA?pes#6 zN!CJ&^IdbLs$~3?)^m+A1~PstuEVIXJ?RXx5HTf(PlKt^4oRGvze`J#WkU?PCZo&y zs*7i~$`MV3r?!?t!BjZfavuhN{cM{=-nNTU&hC0xN*R|fTyr|7nGd$~#92bCcB-!y 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