diff --git a/README.md b/README.md index 2e0c34f..b3da179 100644 --- a/README.md +++ b/README.md @@ -7,7 +7,7 @@ This cadCAD model and notebook series is a collaboration between [Aragon Project ## Table of Contents ### 1. Supporting documentation for context -* [Readme doc]() (you are here): For a high level exploration of CV and relevant topics, start here +* [Readme doc]() (you are here): For a high level exploration of Conviction Voting and what exactly we're trying to do with this model, start right here. * [Conviction Voting Algorithm Overview](https://github.com/BlockScience/Aragon_Conviction_Voting/blob/master/algorithm_overview.md): For a deeper understanding of the CV algorithm, including it's mathematical derivation, read this document * [Deriving the Alpha Parameter](https://nbviewer.jupyter.org/github/BlockScience/Aragon_Conviction_Voting/blob/master/models/v3/Deriving_Alpha.ipynb): For an in-depth look at the specific considerations around the alpha parameter, which sets the half life decay of conviction, read this notebook * [Explaining the Trigger Function](https://nbviewer.jupyter.org/github/BlockScience/Aragon_Conviction_Voting/blob/master/models/v3/Trigger_Function_Explanation.ipynb): For an in-depth look at the trigger function equation and how proposals pass from candidate to active status, read this notebook @@ -24,22 +24,20 @@ This cadCAD model and notebook series is a collaboration between [Aragon Project ___
-# Current CV Deployments -## 1Hive -The [1Hive](https://www.1hive.org) community has been actively developing Conviction Voting contracts in collaboration with BlockScience and the Commons Stack since early 2019. They currently have a DAO live on the xDAI network at [1hive.org](https://www.1hive.org) that uses a native governance token (Honey) to allocate funds to proposals via Conviction Voting. +# Background information & concepts addressed -To see Conviction Voting deployed in smart contracts with a basic user interface, check out the [1Hive Github](https://github.com/1Hive/conviction-voting-app). +## What is this cadCAD model trying to do? +In cyber-physical systems like international power grids, global flight networks, or socioeconomic community ecosystems, engineers model simulated replicas of their system, called digital twins. These models help to manage the complexity of systems that have trillions of data points and are constantly in flux. These simulations channel the information into pathways that allow humans to understand what is going on in their ecosystem at a high level, so they can intervene where and as appropriate. (Like hitting a breaker switch when a fault is cleared in a power system). -## Commons Simulator +![img](https://i.imgur.com/kb4Tnh6.jpg) -The [Commons Stack](https://www.commonsstack.org) has been working on a 'Commons Simulator' to facilitate user understanding of these novel governance tools. Progress on Conviction Voting can be viewed in [the Commons Stack Github repo](https://github.com/commons-stack/coodcad/tree/bigrewrite). +Digital twins can be considered like a flight simulator, which can be used to run your system through a billion different "tests", varying one parameter at a time, to see what effects may throw your system out of balance. As engineers with public safety in mind, we must understand the tipping points of our systems, and ensure mechanisms are in place to push the system back towards balance if and when they enter their boundary conditions of safety. -
+This cadCAD model is a digital twin of Conviction Voting, as applied in the 1Hive DAO ecosystem. It can be used to provide operational support in decision making both during the design stage, and also in the continuous governance of the 1Hive system, providing [Computer Aided Governance](https://medium.com/block-science/computer-aided-governance-cag-a-revolution-in-automated-decision-support-systems-9faa009e57a2) for 1Hive members. -___ +The notebooks contained here are a mix of code snippets, explainer content, simulations, and a whole lot of background to get you more familiar with CV as a concept, and perhaps even diving into modelling similar systems, or extending this model even further using cadCAD. If you have any questions about this model or how to build with it in cadCAD, feel free to email jeff@block.science. -## Background information & concepts addressed
## Conviction Voting Basics @@ -59,11 +57,42 @@ As our governance toolkits continue to expand with novel tools like Conviction V Conviction Voting offers us new insight into the collective intent of our communities. It offers us a richer signal of the emergent and dynamic preferences of a group, such that we can better understand and discuss important issues as communities. It eliminates attack vectors of ad hoc voting such as last minute vote swings, and reduces user friction by not requiring set times to cast a vote. +## Different Flavors of Conviction Voting + +The design space for this new governance tool is wide and unexplored. From its academic origins in Dr. Zargham's PhD research in multi agent coordination systems, Conviction Voting was called [Social Sensor Fusion](https://github.com/BlockScience/conviction/blob/master/social-sensorfusion.pdf) and was a continuous 'fusion' of individual desires into a collective sentiment signal. This suggests there could be multiple "flavors" of Conviction Voting: + +* **Discrete proposal CV**: Like the 1Hive or Commons Stack model, this version of CV fuses continuous preferences into a conviction signal, passing the proposal at a specific point in time, when sufficient community support has been reached. + +![img](https://i.imgur.com/cx5pCxH.png) + +* **Continuous parameter CV:** A community may wish to have certain aspects of their socioeconomic system to be continuously decided by collective sentiment. Perhaps the rate of a community token entry/exit (Tobin) tax, or the rate of community UBI. + +![img](https://i.imgur.com/5hDgMTk.png) + +There are likely to be many more useful applications of this real-time governance tool in community decision making and beyond. We look forward to continuing this research and creating the open source foundations of models which can be iterated towards widely varying scenarios for creating high leverage impact. + ## Conviction Voting In-Depth Conviction voting is based on a linear system akin to a capacitor which "charges up" dynamically and proposals pass when a certain level of collective energy is reached. The details are explained and demonstrated throughout this repo but the best place to start is the [Conviction Voting Algorithm Overview](algorithm_overview.md). For more details on the charging up mechanics and the parameter $\alpha$ see the [Deriving Alpha Parameter Explainer](https://nbviewer.jupyter.org/github/BlockScience/Aragon_Conviction_Voting/blob/master/models/v3/Deriving_Alpha.ipynb) notebook and for more details on the proposal passing mechanism, see the [Trigger Function Explainer](https://nbviewer.jupyter.org/github/BlockScience/Aragon_Conviction_Voting/blob/master/models/v3/Trigger_Function_Explanation.ipynb) notebook.
+___ + +# Current CV Experiments + +## 1Hive +The [1Hive](https://www.1hive.org) community has been actively developing Conviction Voting contracts in collaboration with BlockScience and the Commons Stack since early 2019. They currently have a DAO live on the xDAI network at [1hive.org](https://www.1hive.org) that uses a native governance token (Honey) to allocate funds to proposals via Conviction Voting. + +To see Conviction Voting deployed in smart contracts with a basic user interface, check out the [1Hive Github](https://github.com/1Hive/conviction-voting-app). + +## Commons Simulator + +The [Commons Stack](https://www.commonsstack.org) has been working on a 'Commons Simulator' to facilitate user understanding of these novel governance tools. Progress on Conviction Voting can be viewed in [the Commons Stack Github repo](https://github.com/commons-stack/coodcad/tree/bigrewrite). + +
+ +___ + ## What is cadCAD? cadCAD (complex adaptive dynamics Computer-Aided Design) is a python based modeling framework for research, validation, and Computer Aided Design of complex systems. Given a model of a complex system, cadCAD can simulate the impact that a set of actions might have on it. This helps users make informed, rigorously tested decisions on how best to modify or interact with the system in order to achieve their goals. cadCAD supports different system modeling approaches and can be easily integrated with common empirical data science workflows. Monte Carlo methods, A/B testing and parameter sweeping features are natively supported and optimized for. @@ -80,8 +109,12 @@ pip install cadCAD==0.4.18 Then run cd Aragon_Conviction_Voting to enter the repository. Finally, run jupyter notebook to open a notebook server to run the various notebooks in this repository. +Check out the [cadCAD forum](https://community.cadcad.org/t/python-newbies-setup-for-cadcad/101) for more information about installing and using cadCAD. +
+___ + ## Further Background Reading ### Systems Thinking diff --git a/algorithm_overview.md b/algorithm_overview.md index 24a8398..f163a36 100644 --- a/algorithm_overview.md +++ b/algorithm_overview.md @@ -1,85 +1,112 @@ -# An Introduction to Conviction Voting +# Mathematically Formalizing to the Conviction Voting Algorithm -Conviction Voting is an approach to organizing a communities preferences into discrete decisions in the management of that communities resources. Strictly speaking conviction voting is less like voting and more like signal processing. Framing the approach and the initial algorithm design was done by Michael Zargham and published in a short research proposal [Social Sensor Fusion](https://github.com/BlockScience/conviction/blob/master/social-sensorfusion.pdf). This work is based on a dynamic resource allocation algorithm presented in Zargham's PhD Thesis. +## Background +--- +Conviction Voting is an approach to organizing a communities preferences into discrete decisions in the management of that communities resources. Strictly speaking conviction voting is less like voting and more like signal processing. Framing the approach and the initial algorithm design was done by Michael Zargham and published in a short research proposal [Social Sensor Fusion](https://github.com/BlockScience/conviction/blob/master/social-sensorfusion.pdf). This work is based on a dynamic resource allocation algorithm presented in Dr. Zargham's PhD Thesis. The work proceeded in collaboration with the Commons Stack, including expanding on the python implementation to makeup part of the Commons Simulator game. An implemention of Conviction Voting as a smart contract within the Aragon Framework was developed by [1Hive](https://1hive.org/) and is currently being used for community decision making around allocations their community currency, Honey. -## The Word Problem +## Defining the Word Problem +___ Suppose a group of people want to coordinate to make a collective decision. Social dynamics such as discussions, signaling, and even changing ones mind based on feedback from others input play an important role in these processes. While the actual decision making process involves a lot of informal processes, in order to be fair the ultimate decision making process still requires a set of formal rules that the community collecively agrees to, which serves to functionally channel a plurality of preferences into a discrete outcomes. In our case we are interested in a procedure which supports asynchronous interactions, an provides visibility into likely outcomes prior to their resolution to serve as a driver of good faith, debate and healthy forms of coalition building. Furthermore, participations should be able to show support for multiple initiatives, and to vary the level of support shown. Participants a quantity of signaling power which may be fixed or variable, homogenous or heterogenous. For the purpose of this document, we'll focus on the case where the discrete decisions to be made are decisions to allocate funds from a shared funding pool towards projects of interest to the community. ## Converting to a Math Problem +___ Let's start taking these words and constructing a mathematical representation that supports a design that meets the description above. To start we need to define participants. -### Participants +### Defining the Participants + +___ Let $\mathcal{A}$ be the set of participants. Consider a participant $a\in \mathcal{A}$. Any participant $a$ has some capacity to participate in the voting process $h[a]$. In a fixed quantity, homogenous system $h[a] = h$ for all $a\in \mathcal{A}$ where $h$ is a constant. The access control process managing how one becomes a participant determines the total supply of "votes" $S = \sum_{a\in \mathcal{A}} = n\cdot h$ where the number of participants is $n = |\mathcal{A}|$. In a smart contract setting, the set $\mathcal{A}$ is a set of addresses, and $h[a]$ is a quantity of tokens held by each address $a\in \mathcal{A}$. -### Proposals & Shares Resources +### Defining Proposals & Shared Resources + +___ Next, we introduce the idea of proposals. Consider a proposal $i\in \mathcal{C}$. Any proposal $i$ is associated with a request for resources $r[i]$. Those requested resources would be allocated from a constrained pool of communal resources currently totaling $R$. The pool of resources may become depleted because when a proposal $i$ passes $R^+= R-r[i]$. Therefore it makes sense for us to consider what fraction of the shared resources are being request $\mu_i = \frac{r[i]}{R}$, which means that thre resource depletion from passing proposals can be bounded by requiring $\mu_i < \mu$ where $\mu$ is a constant representing the maximum fraction of the shared resources which can be dispersed by any one proposal. In order for the system to be sustainable a source of new resources is required. In the case where $R$ is funding, new funding can come from revenues, donations, or in some DAO use cases minting tokens. -### Participants Preferences for Proposals +### Defining Participants Preferences for Proposals + +___ Most of the interesting information in this system is distributed amongst the participants and it manifests as preferences over the proposals. This can be thought of as a matrix $W\in \mathbb{R}^{n \times m}$. -![Replace this later](https://i.imgur.com/vxKNtxi.png) +![image of participant/proposal affinity matrix](https://i.imgur.com/vERr8Zv.png) These private hidden signals drive discussions and voting actions. Each participant individually decides how to allocate their votes across the available proposals. Participant $a$ supports proposal $i$ by setting $x[a,i]>0$ but they are limited by their capacity $\sum_{k\in \mathcal{C}} x[a,k] \le h[a]$. Assuming each participant chooses a subset of the proposals to support, a support graph is formed. ![pic](https://i.imgur.com/KRh8tKn.png) ## Aggregating Information -In order to break out of the synchronous voting model, a dynamical systems model of this system is introduced. +___ + +In order to break out of the synchronous ad-hoc voting model, a dynamical systems model of this system is introduced that fuses collective community preferences into a single signal. The mathematical derivation of this process can be found below. ### Participants Allocate Voting Power -![pic](https://i.imgur.com/DZRDwk6.png) +___ -### System Accounts Proposal Conviction +![pic](https://i.imgur.com/DZRDwk6.png) +In the above diagram, we examine the participant view. Participant $a$ with holdings $h$ at time $t$ supports proposals $i$ and $j$ with $x$ conviction. The sum of all conviction asserted by participant $a$ is between 0 and the total holdings of participant $a$. + +### System Accounting of Proposal Conviction + +___ ![pic](https://i.imgur.com/euAei5R.png) -### Understanding Alpha +In the above diagram, we examine the proposal view. Proposal $j$ with total conviction $y$ at time $t$ is supported by participants $a$, $b$ and $c$ with $x$ conviction. The total conviction $y$ at time $t+1$ is equal to the total conviction at time $t$ decremented by an exponential decay $\\alpha$ plus the sum of all conviction from $k$ agents in time step $t$. - - +### Understanding the Alpha Parameter +___ +For a deeper exploration of the $alpha$ parameter, please read more in the [Deriving Alpha notebook](https://nbviewer.jupyter.org/github/BlockScience/Aragon_Conviction_Voting/blob/master/models/v3/Deriving_Alpha.ipynb) - ## Converting Signals to Discrete Decisions +___ -Conviction as kinetic energy and Trigger function as required activation energy. +Conviction can be considered like a fluctuating kinetic energy, with the Trigger function acting as a required activation energy for proposals to pass. This is the mechanism by which a continuous community preference turns into a discrete action event: passing a proposal. See the [Trigger Function Explanation notebook](https://nbviewer.jupyter.org/github/BlockScience/Aragon_Conviction_Voting/blob/master/models/v3/Trigger_Function_Explanation.ipynb) for more details around the trigger function and how it works. ### The Trigger Function +___ +For a deeper exploration of the trigger function, please read more in the [Trigger Function Explainer notebook](https://nbviewer.jupyter.org/github/BlockScience/Aragon_Conviction_Voting/blob/master/models/v3/Trigger_Function_Explanation.ipynb) - ### Resolving Passed Proposals +___ ![pic](https://i.imgur.com/lmOl9HE.png) ## Social Systems Modeling +___ -Subjective, exploratory modeling of the social system interacting through the conviction voting algorithm. +In the conviction voting model, multiple graph structures are used to represent participants and proposals to represent a subjective, exploratory modeling of the social system interacting. -### Sentiment +### Sentiment: -Global Sentiment -- the outside world appreciating the output of the community -Local Sentiment -- agents within the system feeling good about the community +* Global Sentiment denotes the outside world appreciating the output of the community. +* Local Sentiment denotes the agents within the system feeling good about output of the community. +* Sentiment increases when proposals pass and work is completed in the community, and decreases when proposals fail and community progress stalls. -### Social Networks +### Relationships between Participants: -Preferences as mixing process (social influence) +* Edges from participant to participant denote influence (to represent subjective social influence) and are assigned randomly via mixing processes. + +![Participant Influence Graph](https://i.imgur.com/zQziRA7.png) ### Relationships between Proposals -Some proposals are synergistic (passing one makes the other more desireable) -Some proposals are (parially) substitutable (passing one makes the other less desirable) +* Edges from proposal to proposal represent conflict, which can be positive or negative. +* Some proposals are synergistic (passing one makes the other more desirable). +* Some proposals are (partially) substitutable (passing one makes the other less desirable). + +![Proposal Conflict Graph](https://i.imgur.com/CNjLhmr.png) ## Glossary of Notation - -### Summary State Variables +___ +### Summary of State Variables Notation | Definition| |--- | --- | @@ -88,62 +115,74 @@ Some proposals are (parially) substitutable (passing one makes the other less de |$n_t$ | | |$m_t$ | | |$W_t$ | | -|$X_t$ | | -|$y_t$ | | +|$X_t$ | Individual participant conviction at time t| +|$y_t$ | Total aggregated community conviction at time t| |$y^*_t$ | | -|$R_t$ | | -|$S_t$ | | +|$R_t$ | Available resources in the communal funding pool| +|$S_t$ | Effective supply of tokens available for community governance| -### Summary Laws of Motion +
+
-A new address $a$ joins the community of participants: +## Summary Laws of Motion / State Transition + +* A new address $a$ joins the community of participants: $\mathcal{A}_{t+1} = \mathcal{A}_t \cup \{a\}$ $h_{t+1}[a]= \Delta h >0$ -An address $a$ leaves the community of participants: +* An address $a$ leaves the community of participants: $\mathcal{A}_{t+1} = \mathcal{A}_t \backslash \{a\}$ $h_{t+1}[a]= 0$ -A proposal $i$ is added to the set of candidates +* A proposal $i$ is added to the set of candidates $\mathcal{C}_{t+1} = \mathcal{C}_t \cup \{i\}$ -A proposal $i$ is removed from the set of candidates +* A proposal $i$ is removed from the set of candidates $\mathcal{C}_{t+1} = \mathcal{C}_t \backslash\{i\}$ -Resources are added to the shared resource pool +* Resources are added to the shared resource pool $R_{t+1}= R_t+ \Delta r$ -Update Conviction Required to pass proposals +* Update Conviction Required to pass proposals $y^*_{t+1} = [\cdots ,f(\mu_i), \cdots]$ where $\mu_i = \frac{r[i]}{R_t}$ -A participant allocates their support +* A participant allocates their support $X_{t+1}[a,: ] = [\cdots,x[a,i],\cdots]$ s.t. $\sum_{i\in \mathcal{C}_t}x[a,i]\le h[a]$ -A proposal is passed given $y_t[i] \ge y^*_t[i]$ +* A proposal is passed given $y_t[i] \ge y^*_t[i]$ $\mathcal{C}_{t+1} = \mathcal{C}_t \backslash\{i\}$ $R_{t+1}= R_t- r[i]$ -Update Conviction +* Update Conviction $y_{t+1}[i] =\alpha\cdot y_t[i] + \sum_{a\in \mathcal{A}_t} x[a, i]$ -### Parameters +
+ +## Parameters Notation | Definition| |--- | --- | |$\alpha$ | The decay rate for previously accumulated conviction | |$\beta$ | Upper bound on share of funds dispersed in the example Trigger Function| -|$f(z)$| Trigger function determines when a proposal has sufficient conviction to pass| +|$f(z)$| Trigger function that determines when a proposal has sufficient conviction to pass| |$\rho$ | Scale Parameter for the example Trigger Function | Recall that the Trigger Function, $f(z)$ satisfies $f:[0,1]\rightarrow \mathbb{R}_+$ e.g. $f(z) = \frac{\rho S }{(1-\alpha)(z-\beta)^2}$ -### Additional Considerations +
-timescales -minimum candidacy times -minimum conviction required for small proposals -effective supply -proposal statuses +## Additional Considerations when Deploying CV + +* Timescales + * whether your system is operating in block times, or more human understandable timescales like hours, days or weeks, these considerations need to be factored into your model +* Minimum candidacy times + * proposals should be active for a minimum period to ensure appropriate dialog occurs within the community, regardless of level of support +* Minimum conviction required for small proposals + * to prevent small proposal spamming from draining the communal funding pool, all proposals should have some minimum conviction required to pass +* Effective supply + * to avoid slow conviction aggregation due to "inactive" tokens (e.g. locked up in cold storage or liquidity pool, without active participation in governance), effective supply is the portion of tokens that are active in community governance +* Proposal statuses + * proposals can exist in multiple status types, which can be expanded as this model grows diff --git a/models/v3/Deriving_Alpha.ipynb b/models/v3/Deriving_Alpha.ipynb new file mode 100644 index 0000000..9dfadf6 --- /dev/null +++ b/models/v3/Deriving_Alpha.ipynb @@ -0,0 +1,967 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Deriving the Alpha Parameter\n", + "## Determining Conviction Half-Life\n", + "\n", + "The first half of this notebook will go into detail about the mathematical derivation of the $\\alpha$ parameter, which controls the half life decay rate of accumulated conviction. If you're into math, dig in and enjoy! If you're not, scroll down a bit further to see some simple plot tests we ran to confirm that conviction was accumulating and decaying as we had planned, and how it reacted with a large number of agents in more complex runs.\n", + "\n", + "For some high level plots to help you visualize how changing $\\alpha$ might impact the decay rate of conviction, check out the links below:\n", + "\n", + "* Commons Stack CV simulation: \n", + "* \n", + "* \n", + "\n", + "\n", + "___\n", + "## An Intro to Dynamical Systems\n", + "Dynamical Systems are mathematical structures which describe evolution over time. Historically they are analyzed in Continuous Time because they are used to design, test and control physical systems. Over recent decades they have also been used to design, test and control computer systems. They are powerful abstractions that have helped manage the relationships between physical and computational systems, and even social systems (as they are critical ingredients in stochastic dynamic general equilibrium models which are used in macroeconomics). Whether continuous or discrete, dynamical systems are traditional associated with real valued vectors, matrices and tensors. Moving away from real valued fields, we can define dynamical systems over arbitrary data structures to recover a broader family models including but not limited to agent based models. In the case of the conviction voting cadCAD model we have a Generalized Dynamical System whose state contains a network object encoding a range of relationships as well as both numerical and non-numerical information. For the purpose of this short explainer, we will zoom in specifically on the calculation of conviction itself, which we can understand a Discrete Linear Time Invariant (LTI) system. \n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "## Canonical Forms\n", + "\n", + "Canonical forms use $x_t$ for the state of the system, and $u_t$ to describe inputs from external systems.\n", + "\n", + "Continous-time Non-linear Dynamical System:\n", + "\n", + "$\\dot x_t = f(x_t, u_t)$\n", + "\n", + "Continuous-time Linear Time Invariant (LTI) Dynamical Systems:\n", + "\n", + "$\\dot x_t = A x_t + B u_t$\n", + "\n", + "Discrete-time Non-linear Dynamical System:\n", + "\n", + "$x_{k+1} = f(x_k, u_k)$\n", + "\n", + "Discrete-time Linear Time Invariant (LTI) Dynamical Systems:\n", + "\n", + "$x_{k+1} = A x_k + B u_k$\n", + "\n", + "For cases where the discrete time system can be embedded directly in a continuous time, the time indexes can be mapped directly:\n", + "\n", + "|**Time Index Mapping Table 1** |\n", + "| ---: | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- |\n", + "| **discrete-time** | $0$, | $1$, | ,$\\ldots$, | $k-1$, | $k$, | $k+1$, | $k+2$, | $\\ldots$|\n", + "| **continuous-time** | $0$, |$\\Delta t$ | ,$\\ldots$, |$t-\\Delta t$, | $t$, | $t+\\Delta t$, |$t+2\\Delta t$, |$\\ldots$| \n", + "\n", + "For systems comprised of discrete events with strict ordering (eg state machines), we have any mapping that respects the order\n", + "\n", + "|**Time Index Mapping Table 2** |\n", + "| ---: | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- |\n", + "| **discrete-time** | $0$, | $1$, | ,$\\ldots$, | $k-1$, | $k$, | $k+1$, | $k+2$, | $\\ldots$|\n", + "| **continuous-time** | $t_0$, |$t_1$ | ,$\\ldots$, |$t_{k-1}$, | $t_k$, | $t_{k+1}$, |$t_{k+2}$, |$\\ldots$| \n", + "| **time delta** | | $t_1-t_0$ | ,$\\ldots$, | $t_{k-1} -t_{k-2}$, | $t_{k} -t_{k-1}$, | $t_{k+1} -t_{k}$, |$t_{k+2} - t_{k+1}$, |$\\ldots$| \n", + "\n", + "noting that the time deltas can be further denoted $\\Delta t_k =t_{k} -t_{k-1}$, such that $t_k = t_0+\\sum_{\\kappa =0}^{k-1} \\Delta t_k$ for all $k>0$.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Translating the Simplified Conviction Voting Example\n", + "\n", + "Suppose we start by only considering a single proposal and a single participant voting for that proposal. The conviction voting algorithm is **not** presented in canonical notion. In our case the state we are interested in is the conviction $y_t$ and the inputs from the external system are the actions of partipants staking a quantity of tokens $x_t$. Based on the notes above the canonical form would call conviction $x_k$ and the tokens staked $u_k$, but the table below includes the definitions that match the conviction voting documentation:\n", + "\n", + "$y_{t+1} = \\alpha y_t + x_t$\n", + "\n", + "| Term | Canonical Notation | Defintion| Alternative notation|\n", + "| :--:| :--: | :--:| :--: |\n", + "| Conviction | $x_k$ | the accumulated support for the proposal at epoch $k$ | $y_t$|\n", + "| Support | $u_k$ | the number of tokens staked in support of the proposal at epoch $k$| $x_t $ |\n", + "\n", + "Expressed in the Canonical form we have:\n", + "\n", + "$x_{k+1} = A x_k + B u_k$\n", + "\n", + "with $A = \\alpha$ and $B=1$, yielding\n", + "\n", + "$x_{t+k} = \\alpha x_k + u_k$\n", + "\n", + "For ease of reading we will stick to the notation in the other conviction voting documentation for the rest of this note but we recommend using the translation to the canonical form when refering to literature on dynamical systems to learn more.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Properties via the Simplified Example\n", + "\n", + "A one dimension Discrete-time LTI systems with initial condition $y_0$\n", + "\n", + "$y_{t+1} = \\alpha y_t + x_t$\n", + "\n", + "which can also be expressed as\n", + "\n", + "$y_{t+1}-y_t=\\Delta y_t = -(1-\\alpha) y_t + x_t$\n", + "\n", + "and as\n", + "\n", + "$y_T = y_0 +\\sum_{t=0}^{T-1} \\Delta y_t = \\alpha^T y_0 + \\sum_{t=0}^{T-1} \\alpha^t \\bar x$ when $x_t = \\bar x$ is a constant, thanks to telescoping series. we can also project the eventual conviction for any constant $x$ as\n", + "\n", + "$\\hat y(x) = \\lim_{T\\rightarrow \\infty} \\left( \\alpha^T y_0+\\sum_{t=0}^{T-1} \\alpha^t x\\right) = \\frac{x}{1-\\alpha}$ using geometric series.\n", + "\n", + "The first most important property is \"stability\". This is an entire topic in its own right but let's suffice to observe that as long as $\\alpha \\in [0,1)$ then growth in $y_t$ is bounded. In particular, for any $x$ this system is stable around the equilibrium $\\hat y(x_t) = \\frac{x_t}{(1-\\alpha)}$, even if $y_t \\neq \\hat y(x_t)$. In this way, our algorithm is tracking the signal $y_t$ can be thought of tracking the signal $\\frac{x_t}{1-\\alpha}$ with some intertia muting the volatility.\n", + "\n", + "The equation $\\hat y(x) = \\frac{x}{(1-\\alpha)}$ tells us precisely that each token in a conviction voting system contributes at most $\\frac{1}{1-\\alpha}$ \"conviction\" toward passing the proposal.\n", + "\n", + "Clearly, this expression goes unstable when $\\alpha =1$, in which case conviction does not decay and our algorithm diverges. Consider the sum over time to see the instability:\n", + "\n", + "$\\lim_{T\\rightarrow \\infty} y_T \\ge \\lim_{T\\rightarrow \\infty} \\sum_{t=0}^{T-1} \\bar x = \\infty$\n", + "\n", + "for strictly positive values $x_t\\ge \\bar x >0$ as $T\\rightarrow \\infty$.\n", + "\n", + "So in conviction voting we require that $\\alpha\\in [0,1)$. Technically it is legal to set $\\alpha = 0$ at which point this system simply $y_{t+1} = x_t$ sets the conviction to the amount of tokens staked at the current timestep. Although $x_t$ can still vary overtime, there is no accumulation. The choice of $\\alpha>0$ is made to create a \"leaky integrator\" which takes its name from a leaky bucket analogy.\n", + "![](https://i.imgur.com/JemMMlo.png)\n", + "\n", + "The leaky bucket analogy also helps us understand $\\alpha$ in terms of its relationship to the \"half-life\" of the fluid in the bucket when we turn off the inflow. In this case there is some previously accumated conviction in our initial condition $y_0 >0$ but $x_t = 0$. In this case the dynamics are simply:\n", + "\n", + "$y_{t+1} = \\alpha y_t$ \n", + "\n", + "which is equivalent to \n", + "\n", + "$y_T = \\alpha^T y_0$\n", + "\n", + "The half-life of this system is defined by $T$ such that $y_T = y_0/2$ which satisfies the equation\n", + "\n", + "$\\frac{1}{2} = \\alpha^T$\n", + "\n", + "thus the Half life in epochs for a given $\\alpha$ is\n", + "\n", + "$T = \\log_\\alpha \\frac{1}{2} = -\\log_\\alpha 2$\n", + "\n", + "and conversely the $\\alpha$ which achieves a desired half-life $T$ is\n", + "\n", + "$\\alpha = 2^{-1/T} = \\frac{1}{\\sqrt[T]{2}}$\n", + "\n", + "Further note that the relationship between $T$ and $\\alpha$ is sensative to timescaling. Suppose we wanted a half-life of 3 days but our discrete time scale has 1 hour epochs, then we must use $T = 24 \\times 3 = 72$ in the above equation.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 110, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": "0.9057236642639067\n0.9958826236582974\n" + } + ], + "source": [ + "#consider a desired half life of 7 periods (day)\n", + "# then alpha is given by\n", + "alpha = 2**(-1/7)\n", + "print(alpha)\n", + "#note that if the implementation has epochs of such that there are 24 updates per period (day)\n", + "#then the implementation alpha would be\n", + "alpha = 2**(-1/(7*24))\n", + "print(alpha)" + ] + }, + { + "cell_type": "code", + "execution_count": 112, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "alpha=.9\n", + "\n", + "time = np.arange(0,200,1)\n", + "\n", + "K = len(time)\n", + "\n", + "step_up = np.zeros(K)\n", + "step_down = np.ones(K)\n", + "noisy = np.random.rand(K)\n", + "\n", + "for k in range(K): \n", + " if k>K/2:\n", + " step_up[k]=1\n", + " step_down[k]=0\n", + "\n", + "step_up_response = np.empty(K)\n", + "step_up_response[0]=0\n", + "\n", + "step_down_response = np.empty(K)\n", + "step_down_response[0]=0#1/(1-alpha)\n", + "\n", + "noisy_response = np.empty(K)\n", + "noisy_response[0] = 0\n", + "for k in range(K-1):\n", + " step_up_response[k+1] = alpha*step_up_response[k] + step_up[k]\n", + " step_down_response[k+1] = alpha*step_down_response[k] + step_down[k]\n", + " noisy_response[k+1] = alpha*noisy_response[k] + noisy[k]" + ] + }, + { + "cell_type": "code", + "execution_count": 114, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": "Text(0.5, 1.0, 'Comparing Single Token Staked to Conviction Accumulation Over Time')" + }, + "metadata": {}, + "execution_count": 114 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "fig, ax1 = plt.subplots()\n", + "\n", + "ax2 = ax1.twinx()\n", + "ax1.plot(time, step_up, 'b-')\n", + "ax2.plot(time, step_up_response, 'g-')\n", + "\n", + "ax1.set_xlabel('time')\n", + "ax1.set_ylabel('Tokens Staked', color='b')\n", + "ax2.set_ylabel('Conviction Accumulated', color='g')\n", + "plt.title('Comparing Single Token Staked to Conviction Accumulation Over Time')" + ] + }, + { + "cell_type": "code", + "execution_count": 116, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": "Text(0.5, 1.0, 'Comparing Single Token Unstaked to Conviction Decay Over Time')" + }, + "metadata": {}, + "execution_count": 116 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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+ }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "fig, ax1 = plt.subplots()\n", + "\n", + "ax2 = ax1.twinx()\n", + "ax1.plot(time, step_down, 'b-')\n", + "ax2.plot(time, step_down_response, 'g-')\n", + "\n", + "ax1.set_xlabel('time')\n", + "ax1.set_ylabel('Tokens Staked', color='b')\n", + "ax2.set_ylabel('Conviction Accumulated', color='g')\n", + "plt.title('Comparing Single Token Unstaked to Conviction Decay Over Time')" + ] + }, + { + "cell_type": "code", + "execution_count": 117, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": "(0.0, 10.467508274730731)" + }, + "metadata": {}, + "execution_count": 117 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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bqV3IWxsspfwHql35POq9X4hyo5wopdxhbOf4rFjt4A0oV0kzKsDtmmzKkk8Yz+0MlMVvO+re9PPYrWeIQ1lACPEdlAP2Y2VQlnOAO6WUYzNuXCSUU/2ECBEixP6O/TrVXBBYsvtcIURMCDESaMQ5SCFEiBAhQhwACAkyCYEa69OMMrEuQtnyQ4QIESLEAYiyMrGGCBEiRIgQ5YJQQYYIESJEiBAOKEZC77JDJBKRNTW9Kqd4iBAhQpQcra2tUkp5wAirA5Iga2pqaGlxGrIYIkSIECHcIIRoy7zV/oMDpicQIkSIECFCBEFIkCFChAgRIoQDQoIMESJEiBAhHBASZIgQIUKECOGAkCBDhAgRIkQIB5Q1QQoh/iiE2CqEmO+yXgghbhdCLBdCzBVCHFnsMoYIESJECAWnNtuaHeU5IcQy63tAKcsYBGVNkKgZo8/2WH8OagaFg1AzStxRhDKFCBEiRAhn/Jn0Nvs24L9SyoNQc0reVuxCZYuyJkgp5cuoGdzdcCFqyhsppZwF9BdCeM24HsIBUqpPiPLC2rXw1FOlLkWIEP7h0mZfiJrqD+v7omKWKReUNUH6wEjUPIQa661laRBCfFIIMVsIMTsejxelcL0B3d0wYQLcc0/mbUOkY+NGeOCBwhz7N7+Bj34083YhQhQRMd2OWp9P+thnmJRyE4D1PbSwRcwfejtBCodljlpISnmXlPJoKeXRsdj+mUCoq0t9giAeh9Wr4ZlnClKk/R733AOXXQadnfk/dksLdHTk/7ghQuSAuG5Hrc9dpS5QIdHbCXI9MNr4Pwo1M/sBiY9+FD7ppz9noLtbfc+Zk/fiHBDo6lLm6UIQZGen6sCESKKtTXUcQvQqbNGuL+t7a4nL4xu9nSAfB662olmPA3ZrKV9O2LULdu8u/HnWroV16zJvZ0IT5JIlYcOTDRIJ9R1UuftBR4ciX32PQsCnP60Ue4hehceBj1u/Pw48VsKyBEJZE6QQ4u/A68BkIcR6IcQnhBA3CiFutDZ5ClgJLAfuBj5TrLI98wycd56/4JbLL4cPfajwZcrGxKobeClhvuNgmhBe0ORVKIKEUEWa2LgRNpVdFziEhlObDfwIOFMIsQw40/rfK1DWzjgp5eUZ1kvgs0UqTgreeENFGMbjUFHhve327TB7NixbBgcdVLgydXUFb0xNdTJnDsycmdci7fcoFkG+9hrccQfcfz8IJ8/7AYJ4PNmpyzd0Z/dArt9c4dFmn17UguQJZa0gyxm6YfTzsmrSKnSkaDYEaZY/9EMGRyEJUvs1Ewl4+WUVLVsIX2c5oaMDnn7afX0iUTiCvPxyuP76whw7RO9ESJBZIghB6m3uuadwLzfkR0GGSKK5WZn0vFBoHySoe6rvayGfHzf8+c8wa1ZxzvXII3DOOcqf7oRCKshFi2DlysIcu1i46Sb4wQ9KXYr9ByFBZglNLH4CKOJxqKqC9evh7bcLV6ZsfJC6/NXVMHduGBBi4qtfzew7LpaJtZQE+fWvw913F+dcu3ap79ZW5/VeBCkl/OhHsGZNdufeu7cw97GY+Pe/4ac/3f8tDcVCSJBZIqiJddAg9XvfvsKVyWxI/UKXf8gQ1SiVogEuVzQ3q48Xik2QpQjY6ewsXsdJE6Pbc5hIuNdBczN87WtKhWaDfft6f0DUvn2qHrzM1CH8IyTILBFEQSYSUFmZ/F0o5GJi1bkTQgWZhB9/VzF8kKVWkF1dxXsu2trUt9t1eilIvTzbOtofFKTugP/tb6Utx/6CkCCzRJCXMR5PEmQhG5pcCFJH4oYEmUR3dyoBOo0TPRB8kF1dxTuvVpBuz7EXQQax6jgdt729/Any/vth4kTna+zuVvUXjcLjjyvCD5EbQoLMEkEVZFVV8nehkEsUq1aQoYk1CVNBfu97cNJJ6dsUw8RqmhX3dxNrJgXppepzUZBaeZW7iXXZMhVI5ORj1J2LE05Q9bhwYXHLtj8iJMgsEdQHWSwTq9+G+pVXlCIKFaQ7TAW5caMKsnLaBvZfBSmlOme5+CDtClJKldS9uTk3BanVVrkrSH2NTkSuSX60lXwzVJC5IyTILJGtD7JQDY1uzP30gHfvhlNPhfvuSzYmIUGmw1QriYRz46nrq1C5WKG0BKmvuVjn1QrS7Tm2K8g1a9TQhscfTy7PRgXuTwTZYE34FxJk7ggJMksEVZD5NrHOnQunnJL0i+kX20/j0Namym8qyDBIJx2mguzudm4893cfpL6uclWQZiciFwXZW0ysXp0AfQ3Dh6vvkCBzR0iQWSLoOMh8m1hnz1ZmUj3mK4iPymz09lcT65tvwmc/m9tE0KZpMZOC3F+HeZRKQXoRpFkHZschFx/k/qQgQ4LMH0KCzBJBM+nk28SqX2S7gvTzgpuNnj1IZ38hyKefht/+Nrf5FLu7k/WjFaSdcAtFkOYUWmaQzoGiIP2aWM37cyD4IP0oSG1iLeSY6wMFIUFmiUIpyB07/B1Tv8j6JQhiYjUJ0snE+vTTMH58756sV9dzLr5Bu4I0vzUKRZDm8Q4kE2vQcZBmvRwIJlYvBak7y0OGQCQSKsh8ICTILFEIBfn22zBiBPz975mP6aYgE4nMZkX9cpkKSZtYEwk1N+Tq1bBnT+ZylCv0deVTQUI6EeaLIKWEH/5QzfwCqeUuJUGaKrYYCOqDdHqW92cF6cfEWl+vPiFB5o6QILOEXwWpJ7zNFKTT0QEf/7hqkLZty3x+NwXpdQ77vmav2/RB2kmhN6JQCtLegOYrSGfVKpXz9F//Uv/dCLJUPshiK0i/JtZ8KcjeQpB+TKx1deoTEmTuCAkyS/jtrer1mUyst98OCxao3+bDn0g4P+heBJmpEc0UpJNLQ1MuyAdBOnUW7HWbLwVpJ0A7QRY7WEbDL0G++KJKlJ0r/ChIKZNWknwpSP0e+bHAZML27SrVW67HcYIfBVlXpxRk6IPMHSFBZgm/ClI/yJlMrIsXJxOamw//H//onFpKb2M3sdp/OyFTkE4Q/2q5olgKMl8Eaa9zs9zl4IPMdN7vf18lCs8VfjLpmN/5VpDmMbPFgw/ClVfC/Pm5HccJmRRkJKJm5glNrPlBSJBZwu/LaCdIrxe/ujp1H4ANG5TJ1d7Q2xWkU+i7GzIF6eTSEy8X9DYfpL3OzXKXMtWcXwW5a5cKMMsVXlGsUqbXg6kg80WQud5L/a4+/3xux3FCJgVZVwdChASZL4QEmSX8vox+Tazd3cltnMjO3tC7BenY93eCU6PiZGINFWTxfJBeBFkOCjLTs7BnT+4E2d2tEoaD83WaZbDXV67jIE1zZK6dEH3+//43t+M4IRNB1taq3yFB5gchQWaJfJtYEwmVhT8adSbITAoyGx+kk4k1V1NVuSBfPkhIBlpB4U2s5UqQmc67e7cyj2oTaTbQ5Oh2Pqfxj+WoIHU5Xnop/4rfy8Ta0qIUJKjv0AeZO0KCzBJBFWSmKFZNkLFYepAOuBNkLj7I/VlBunUsgsBJnbgRZK65WO2m3HLxQepyZHoWdu9W37moSJNcnQjA6b3INZOO7vzkkyD1+ffsUUO38gk/JlYIFWS+EBJkliiUgrQTZLEUpNMwj96gILduTUb/msiXD1J/+1GQy5bBl7+cXfSiXxNrOaaa6+xMqr9cCFL7H93O50WQ2SrIc8+FW2/Nr4nVfMfzbWbNFKQTEmR+ERJklihEkE4kUhyCdIr8CxLFundv+Zhvvv99+OAH05fnywepv/34IP/1L/jpTxVp53IucA/SKUcfpJlQIl8KMqiJNVvXwMqVKqdxIRTksGGwdGlux7IjiIJsby//zEDljpAgs4RfBek3SCeTgsxnkE6u4yAvvxxuuMH7HMXC3r2wc2f68nz6IM068RoHqVVUNg1sufsgi0GQpoIMamLN1vLR1aUyR+3enQxwCXr/vv1tmDMn+V/XVW1t/tM1+iVI/R2qyNwQK3UBeiv8voyFMrHq5bkO83AaB2n3h9mxYQPU1Hifo1hIJFIbVnM5FM8HmStB+vVBlqOJVfsfofcpyK6uZHDRqFGqwxmkjhMJ+N73lPVnxozU8/fpkxp4lA8EMbHqZQMG5LcMBxJCBZklgirITEE63d2lDdIJEsXa3l4+eVp1lhl7WUvhg9SNYTak3JuHeZjPgpOa94sgPkh7fZgduyAEZ95PTSRBOjhO96W7W41FrKoqroI0o1g1QYYKMjeEBJklCuGDLFaQjlPkX5Ao1vb28nnx9LXYhxcEUZAvvwyzZqUvN+9xoRVkuZpY/USx5ktB5mJizUVBagwcmL4sE5zui36Xq6vzT5CZFKQ5DhLK5z3trQgJMksEVZCZJiTOliAL6YPsDQSp6zcXgrztNvjOd9yP7aUgTeLUjWG+FWQ5BOl4nbccgnSyjWJ1UpD6mFLCP/7hfT/dFGQkohRkvk2sbgqys1N9Qh9kfhESZJYIqiBjMfXSlEMUa66p5rSJtRDJmIMik4L004Pv6nJWDWZH4UD3QfpRkCNHlm6YR7bjIL1MrHPmwGWXJWdYcYJJ0GbZCqUg3QhSd5SdfJAhskdIkFki6DjIWEy9NH4UpFNP2S2KtatLNaa5JisPqiATCfX9hz/A//6v9/kKiXwoSJMAnY5hdiQONBNrEB/k+PGFVZCFGAfpRZBbtqhvL7+qm4KMRgujIN1MrOZMHhCaWPOFkCCzRNBMOtFoZgWZjYkVVO8x11ysTuMgncoqZfKl37sX7rkH/vpX7/MVEvpa7JGsQQjSJEATTgrSzzCP/TFIJ1MUa2UlNDQU1geZKYo1qIKUUm2rI7K1D1IfU1+L6WO1w80HqWfVKJaCDAmyMCh7ghRCnC2EWCKEWC6EuM1hfT8hxBNCiPeEEAuEENcWo1zZKshCEOS+fdkP87D7IM2GxunazHLs2QPNzcVvtE24mViDpJrLRUGaptd8mlg7OtQ90bl5S02QmRRkv35qurZ8KEi3jmS+FaS+tqOOUt+jR6cuz5YgC6kgsyHINWvyW4YDCWVNkEKIKPAb4BxgKnC5EGKqbbPPAgullIcDpwI/E0JUFrps2SpIt4bGbZhHIRSk2ejp8vlVkOYLrwfpl5IgM5lY/fTgzU6BiSA+yM7O/AbpdHYqVaafh1L7IDMpyL59FUE2N2fuNLqhtVVdb1VV5iAdp2Ee2RLkBRfAe+/BYYelLtcE6TWkyc0HqYN0ihXFavdB1tSoMjz2GIwbl/+csG4QQnzeEirzhRB/F0JUF+fMhUFZEyRwLLBcSrlSStkJ3A9caNtGAvVCCAHUATuBgjcjhVKQfmfziMeTpLZvX/Y+yKBRrCZBagWZbYOYD+RjmEe5+iCrqtQ9Nq+hHId5mAqyu9tbcXmhrU017PZOoka+g3T0faqogOnTk++TPub27eo7GxNrsYN07ApSCPX79dfV/3zM1ZkJQoiRwC3A0VLKQ4EocFnhz1w4lDtBjgTWGf/XW8tM/BqYAmwE5gGfk1Kmvc5CiE8KIWYLIWbH89AN9/symgoyGxOrV5BO//7qd7YKMlOQTiYFuX27atTK0cQa1AeZq4IshA+yqko9E5mmgSok/EaxagUJ2TfGra0q+4zbe1IoE6t+9vV3PkyshRrm4fYcaoLU4yAhaWa1l6/AiAE1QogY0AfVLvdalHuqOeGwzD644CxgDnAaMBF4TgjxipQyxTAipbwLuAugtrY25wEK2Q7z8Ipi1cM87CH+4GxiHTBAkZRdQeYapOPlgzRf+LVrk2UvFUodxWo2WLpe8+WD1CY6s87L0cS6Z48y45kEOWlS8HNpBRmPZzax5ltBmt/ZmFjdFGRnpwoGEk4tWRbwGgcJyYQkUHyClFJuEEL8FFgLtAHPSimf9bu/aBIXex6/UT6cYxEDo9wV5HpgtPF/FOk9kmuBh6XCcmAVcEihC1YOQTr5UJBeJtZMClI7/8vBxOoWxerHxGVes325/g6iIPNhYu3sTJpYDzQFmY2JNR8KMhcTq1k/poKE/JpZ3QjStFRp9O2rymGuzwNi2hJnfT6pVwghBqBcYOOBEUCtEOJjAY79QevzCeAPwJXW5/dAkOPkDeWuIN8CDhJCjAc2oOzZV9i2WQucDrwihBgGTAZWFrpg2QTp+B0H6Zcg9bitoArSK0jHJM1MClITZG9XkE4mVj2RLnhn0jGX5zuTjg7S6S0E2aeP+m+/F36hFWQ2JlbzuS21idVUkKDuZXWeQlXcgnT0tUcMyfM//wNz58KXvpTX5yYupTzaZd0ZwCop5TYAIcTDwAmAr4FgslFeCyCaxJPAVNkoN1n/G1DBmkVHWROklDIuhLgJeAbl8P2jlHKBEOJGa/2dwPeAPwsh5qFMsl+VUm4vdNmyUZDZjIN0a+hNBWkf5pFrkI6XqarcTKyFCtIxswSZBOpnHGQuJlanIB172rliIpOJVcpkkI5WL9mWMZMP0svE6icDlB3F8EFC6RTkmWfC8OHp5Ssg1gLHCSH6oEyspwOzszjOOE2OFrYAB+ehfIFR1gQJIKV8CnjKtuxO4/dG4APFLle2CtJt+0zDPJyCdLSC1CZW+5AANzj1urOJYi0nE2u+FaS9wQsyDjIbBWmvc7cgnXJLNdfaquqgb990E2VQtLUpovVjYrUTUz4UpFn+tjZ1bUJk74PUBJnPQB23jpoTQZr/i/GOSinfEEI8BLyDGknwLlbcR0C8KJrEM8DfUTEnlwEv5K2gAVDuPsiyRbYKMp8m1ro6tY82seqMIMUaB6l72OVsYvXrg7Rfg31cW6F9kHb1Uy4+yEzDPDR5ZFKQe/dmflfKSUHqZ3vUKPVsud1TLx+kaWLNF9wUpF7uRpDFem6klI1SykOklIdKKa+SUga+etkobwLuBA4HZgB3yUZ5c56L6gshQWaJfCvIoAQZj6sXuq4uqSD1C5lNkI4TQXopSDMqrxxMrPYgnSCZdHJRkHp5W1tq0oCg8DKxloMP0u282vzYt697Y6wnI37wQe9z5csH6VfB+iHICRPUt5uZtdgKMpOJNWJr0YtNkHnEO8C/ZKP8PPCMaBL1mXYoBEKCzBKFiGINOptHRYUa96QVpA6S8OuDNHvdQX2QOm+l3qdUyEeQTj4UpM5k4rSNxhVXwCc/6byutwbpmArSDPQysW+f2m7dOjxhEmQ2Uay5KkjTxKojWDVBuplZvVLNFUJBZmti7U0EKZrEDcBDwO+sRSOBR0tRlpAgs0QhxkH6DdJJJFRwRCyWqiD9mlidet1BFeTQoellLAXyFaRjv9agCtKEG0EuXw6LF7uXwfx2C9Ipt3GQWrlr0yi4N96Z7oXODmWf0cZ+HPN3PqNYo1FlGcmHgjSDdIqpIPcHgkSlDz0R2AMgG+UyYKjnHgVCSJBZQj9wmdRTIUys5outFWQ8rhRHJJLbOMhMDY1+2YcMSb/GUsAkyI6OdL9otrlY/SpIp2t3I4J4PN0UbD9Oufkg9fVK6Tz/p/ksujXGfhMo6Heg2Jl0YkaoYkVF7gSpFWQholjdFKTTMA/otQTZIRtlz1skmkSM9AQxRUFIkFkiGwWZyzhI8yUzG6W6uqSJtaLCPQLQhF8Tq18FWS4m1p/9DGbMSF2erYnV3uBlMrGacCOCri7/BFluqebAmSDN59vNxOr3XpgEWexcrBr6/dEEOX68+s5kYrV3qOxBOpdfDo2N/srlhQNEQb4kmsTXgRrRJM4EHgSeKEVByn6YR7nCrw/SfHC9xkHqXicEV5A7dqjfQQkyk4m1tynIZcuSk9wGIchMCtKsE7eeuwkvBek2iN5e525BOqUyseqy2RWKLo+pIN0ab78K0o+J1a7c8pFJR//u6lI+yPp6GDxYLc81SOf11907R0FwgBDkbahsOvOATwFPyUZ5dykKEhJklshWQWYysQqR2QdpV5Br1iii1ASZqSGyBzYIkTpeKpMPsqJCBWXYy5gtVq1SSQ/0uM4g0OdubVWNmr3BynaYh70x1uopFwXpx8Rq+iB1kI5JqomEOs7mzSoytNAwnzuna7U/37qMTtv49UFmG8WaDwWpCXLvXkWO+jkPamK1K8i9e9OfxWxytB4IQTrAzbJR/groIUXRJD5nLSsqQhNrlggaxZppPshsfZBmkE4sppYFVZCRSFIZZOqJ67RZffsml+VqYj3tNPjud7Pb11SQ27cnU8TlU0F6ZSlKJFJ9WF7nzNYHaTff/eMfcPDByRkcCgnzerMlyHyZWL2CdPKlIPX7t3OnitTWBBkkitVJQdoJcskSFVTnFrTlhkyWDDvhFiAXazHwcYdl1xS7EBAqyKwRdByk32EeQjibkpxm+LAP86itzc7EaifITD7I6urkTAFe1+QHXV2werWaVzIbmASpr6urK7gP0iuK1Wuuze5uVR8mWWXyQTopB5MgpUwlSPt2W7ao6927Nzn/X6FgN7G6rTd9kPbnL2iQjj1y134csyz5jGLVv7WCrK9X96CqKrOC9EoUsHt3aq5egHffVf9XroRDAkyt4KUg7eoRepeCFE3iclSu7fGiSTxurKoHdpSiTCFBZokgClII9cJkY2L1E6SjFWS2QTpa3epyZPJBmgpy0CDYutX7fF7YtCm1TEEgZWqQjq6jeNw/QeroTC8FmYkga2r8EaQ21TolrzbrXJdZB+nYj6HXZ1NnQVEqBZlNFKvZsfNjvvQiyJYWaGhQy/r2De6DrKhIKsht29S3ef16TGhQv6SXD7K3EyTwGrAJGAz8zFi+F5hbigKFBJklzAZt7lz4xS/g979Pf0jNB9fNxKobaU1U2kwohHN2FrPXXlurGty2tuA+SFNBBvFBmgpy8GBFkNnOebdhQ+o1BYFZvj17kr66eDzdN+XUeJjH8PJBZiJI3RCCugdeJlZQjaKdIM3GXRO9m4I0lXKh4ZcgKyrczXl+gnTMdyAbE6vZsdNldbvnGl4m1paW5OTD/foFTxRgjoPUSQfMTq4myKAzn3iZWHs7QcpGuQZYAxxf6rJohASZJcyG9fnn4c9/hp/8JDW6E5KBB6AeVqdGwnSwm5GAZsSglw8SVA83GwWpX6ygJlYdUDNsGCxc6OyL84ONG1PLFAT6OoVIbWi0gtR10dmZTKJgh75G3UBrkverIBOJVIKsr8+ct7O1NTUTkT6O/jbvrxNB6mehGBGtmUyspoLUwV5uJlYvBWm+A25RrH4VpF6fDUFqBdnamkqQuUSxagVpEqSeCSeogvQysdojjKF3EaSGaBLHAf8LTAEqUTM5tchG2ddzxwIgDNLJEqbKcnpJNMwX1c10pI+lGwdIVUHgPcwDlA9PD/UI4oPUL5bfIB1NkCefDH/6E7z//e7b+kEuClKf0+6H6+pKmj7BX8Ps9duPD1Kjvt79fHpfp0bRrHOnsYWgolrj8eIrSKdOg4ZZVnB+xv2YWO2dRL8EaX7bg5kyIZOJVadu9GNidfJBarOzE0HmW0FmMrGWcqxyFvg1cDmwDKgBrkcRZtEREmSWMF9Mr/ByU0G6mVjtvWe9nx+C1OSgh1/kI0jHj4k1GoVrrlGNttu2fpALQerrtBOkboj8EKRbo+qmIM261aozGwVph6na3QiyujpVQRaDIDs7kx2ATEE64ExufoJ07L7MTCZWvd4pitWtrBoPPQRz5gQzsWajIEHVXT59kEGDdIRID/zrDZCNcjkQlY0yIRvln4D3l6IcoYk1S/hVkPF4ZgXpRpCatKJR7yAdDd2g5hKk40dBmufM1YSTDwVZX58M9oFkXWkF4DUWMhcFqcdG2gnSjw/SrRxmh8sMfNHnKYUPsqYmdbYSE3YF6WQeDaogvUyslZXqOE4+SLf7Z8fnPgdnnQXjxqn/dgXZ3q6eGU2QNTXu+VTdfJD6vlVVpfsg29qSpJlPH6STiRVyjzQvAVpFk6gE5ogm8RNU4E5tKQoSKsgs4WQScyM/vwpSm2UgVUH26ZPZxKr/ZxukYwZY+PFBauQ6ziofPsh8KUi3324EqbcxCbJvX+drMTse2ZpYNUEWO4pVX1+mIB1wVn9+gnT8mFh1dKipiDIpyG3b4KmnUo+jfYzafGx2QioqkmpRv1tenU43Banfi+pqNaYSks/l+vXJbQsdxQq9kiCvQvkdbwJagNHAJaUoSKggs4STgnR6iexBOkEUpH7ga2uTE86aycjNUHL9P4gPUjcqblGsXj5IjVx9HPkwseqIWo0gBOmmOvwQpN7erI/aWudrMe9JJgVpJpewm1iL6YPUz4KXidWPDzJokI5XLlY7gWZSkHffDd/6llJq2h0Qj6vnWA+NMhGLwa5d6rdJkG4E4+aDNBWktjTo59Kc9qvQJlbofQRpRbMCtAFNpSxLSJBZIoiCzNbEql8s3dDr3rypIM3G2Y8P0k6AXiZWPwoyFxOrlPkzsdrLCLn5IP2YWPW+uj6qq9X9cTqfX4L08kEWW0Hq43spSL2Nfg68TKx+FaSXidWecMNNQerlzc3JOjUJUieWsBNkvhWk2YHV75smSHv0tR/szwpSNIl5eMzaIRvl9CIWBwgJMmsE8UFmMrG6RbFqgtS+NJ1dxc0H6Ycg7Q28VyYdPwoyFxPr3r3JiYYLoSD9+CCDBOlUVnqbWKuqklGQbmUF50bRzQfpRJD6+Pb73NqqFNNNN2Ue4uAH+jz6fruZWM3nJx/DPLw6km4E6RbFqscv2pNveBGkk4IMQpCmgrSPd+3sTBLk2LH5M7HuJz7I80tdADsKSpBC8ARePQLJBYU8fyFRTAVpEiSkRg46EaRXr9QeKq/LZ4byZ6MgszGxavWoJ6kNCjcFaSfIfA3zMDsnkE6Q1dXuiQIyKUin58luYtXnd1OQzz0Ht94KM2fCccelnyMo7ATp1gE0SabQwzzs603l7XT/9u5N7msex8vEqvfNt4IE9WyuW6fGSw8YEFxB7s8mVsO0WjYotIL8qfV9MTAc+Kv1/3JgdYHPXTCYk8cGUZBBCVLDroQyBen4UZCVlalBOjocPFsfZDYvoCbIESPyE6Sj6zcfJlYnBVlVlapG9fYmQdpVpv0Y4N8HaY9ira5OzzlrQje2uaT+M2GmvAN3BWmSuBdBBjGxevnzTZWaSUG6EaSXgtTIhSDdFGRHh0oSMGaMWhdEQZrtzv5IkBqiSewlKawqgQpKlCigoAQpJS8BCMH3pOQUY9UTQvByIc9dCLz+OixYANddl1xmmsS8er0QfBykhn5R7cpB+yD1cf3M5mE29u3tqaYZPV+lm4KUMr8mVh3BOnZsamSfX9hNrMOGqWMGIcggCtKelNzJB5mtggzig3QjSH1ePawgV/g1sZpldCITPyZWe6cgqIk1k4I031EpgxGkW9CQ/fwa5jtlV5CdnWr+1iFDVFmCzMji5GN1OqcdvY0gZaNMsQmJJnERcGwpylKsYR5DhGCC/iME44EhHtuXJf75TzWGyq40vKJY9UsNmRWk2zAPe0NvEqQQyRc5iILUja3dBOzlg+zqUo1LvkysWumMGpUfE6tOLm2PYvXrg8w0zMOPidVNQQYxsWbyQbqZWPV16jF2ucIepOP07HZ15V9BBjGxBlWQ+tuNIM1ryYeCdDKxtrYqq1BNTTAFaSdIKVOTfrgpSK+J2nsDZKN8FDitFOcuVpDO54EXhWCl9X8caqboXgX9YtpfxFyDdPyaWJ0IEpSJce9efwSp11VXpwbpmOVzU5BameXLxLprlzrngAH5CdKxE2S+fZA6k43O2ermg8yXidXJB+k1zENfdykVZD58kJlMrKafMNM4SDeCdPNB5sPEar5TTibWtjb1bMbjuRHk44+rbFYbNux3JtaLjb8R4Gg8YlkKiaIQpJQ8LQQHAXrms8VS4mOu9/KCE0Fm8kHmEqSjYW/o7YOz7QrSi2zsqsDJBOzmg3QiyFxMrLt2Qf/+yRyjQaHPOXw4XHYZvO998OSThUs1p+usqyvpwzWXmwrSPrtJNuMgTQVpDn9wU5B6eb4VZJAgHachGvmMYg06DjKognQjSD3Djt2M6VdB9u2rImq1gqypSfpC/cI8RzwOy5apd2jPnv2LIIEPGr/jqHiVC0tRkKIQpBD0Ab4AjJWSG4TgICGYLCVPFuP8+YJ++bNVkEGTlesGVr+oTkE6kAxSCWpi1f/zoSCzMbFqgnRTXZmgr7OqCv7+d3jnndRy+jGx+lGQpuqGJEHafZB6mIfex2xss/VBmuML9fPjNsyjUAoyaJCOUwCJebz//hcOP1xNlWbfJpOJ1ayH7u7UYLmgJtbOTm+C1B1TfX1mdKpZJn1+DScFOXhwkiDb2tSzmUhkpyB1nIHe1wy2c0JvI0jZKK8tdRk0imVi/RPwNsl5vtYDD0LvIshoVL2QZgMQREH6MbHqbU2C9PJBQipB+g3SMRt7O0G6+SALYWLNB0HqBkzXRzEUpLmN3cSqz5mJIPfuhQ9/GO66K7MP0iSGYivIXKNY9bV3danP2WfDd78LX/tachu7FcU0ZZvbmPVg79DY/3d3J8fZ2hUnqHVuPshYLJlYwOy02rf3qyAHD4aVK9U9Mk2s2SjIqipVdv0cxeOZFWS2ma5KAdEkxgM3o1xxPU+XbJRFHxZYLIKcKCUfFYLLAaSkTQiymF63tNAPoD3dmFeQTi7DPHTj4DUOElJNQX59kGZjbxK4qZD9KMh8mFizJUiz3iBZH0F8kEEy6fghSN2o2q/HyQe5dCk88wzMnp3ZB2ne23z7IJ9/Xpmmf/7z1OW63jLN5mGPYnXzQYJSUU7E4NRJNAfcQ2qQjhnEpre130szQtTpHd27Nz2Pr91toa/Jvq/9uJl8kFott7Ym5ydNJFQ9+J1sXF9fZaW6NjNCdz8zsT4K/AF4AigptReLIDuFoAbL0SoEE6F3+iAhnSDdFBeoF0g3oEEIMpHITJC6PHYTaxAfpKkgdU8ziA8yVxPr5Mmq3FJ6v+ROsCtIO0EGHebhJ4rVPG8mBelUVkgSpEl0mXyQfhRktlGs//oX/Pa36QSZbxMrJDPbuKlM06xsfx7sJlZzHyfXhyYQ8/hm2fbsSU78reFKkPUb+MzTjXzvzG8yrv+4tONmUpB6InWdpadPn+Q+7e3uE3qbsD9vZpYgJ/OvRi8kyHbZKG8vdSGgeATZCDwNjBaC+4ATgWuKdO68wYkg/ZhYs53Nw+6DNBtGPcTDXB/EB+nHxFqMKFatIHVZsiFIu4LU5cwl1ZyTgjTrzNxG3wsvBanLWlubahrT306pC90IMtM4yL171TXbhxi4wW6edLtuN4LMlEnHTkr2ZboMen/zHdD1qbdxIkidwMF+//wQpJuJ1STIZlbCdafz14WrmdYwidtOui3tuPbOlZOJFZIEqRUkJIN2MkFvr+vE7GzY1baJXkiQvxJNohF4FkNIyUb5TrELUiyCfBuVTec4QACfA+r97CiEOBv4FRAFfi+l/JHDNqcCv0RlXNgupXxfPgpth355THXg1qhq5NPEagbpmC92Nj5IU0Hq36WKYjUJ0h4W7wXTVwfJ4+QjUUAQH2Q0mkzaYF6LCX1P+vZ1JkhTQTqZG4MoSFBm1pEj3a/bhF+CzPR863La69vcTycCdzPDmtfsRLQVFekEWVmp6jSogtRDo0w4KciHWm+C6l30rxrAgm0L0sqkoU2rppqzm1idFGRrKwwaREZkUpD7EUEehpry6jSSJlZJCcZCFosgnwDOkZJ/AQjBFFSQzqFeOwkhosBvgDNRgT1vCSEel1IuNLbpD/wWOFtKuVYIMbQwl+CuIHUkXaYgHTdneSaCdArScQpHz1ZB6uP7jWI1lUm2JtauLhVoYCfIIMhkYtUKLF8+SLuC1PtGIvD+98PRRyfrw35OvU/fvsnAETN4xY+JVd9b/bzlkyCdhjHky8QaVEF6EWRNTdKkahKkNtGbxzMJ0ilIp709M0HubNvJ4s7n4O0vcPhH32PBVneC1MQYVEE6BerceSc8+yw8/HD6NWgFaXY2EolUtW2iFxLkh4AJslF6vLnFQbEy6fwAlV6uVgiOAh4CPuZjv2OB5VLKlVLKTuB+0sfDXAE8LKVcCyClzFMmynTkGqTjltHCbZiHPp7TOEg3BZlrkI6XgjQbJI1sTaz65c6FIN2CdDSRR6OZs5XkQ0FGIvD003DVVcEUpDlcwzyfvs+ZfJD2+2ySchA/pJsP3Y+CDJJJB/wpSLegGN3ZdFKQZnn1tpkUJGQ2sT6+5HESxGHhpUzqN41F2xeR6E4W3k6Q+juTgqypSb7XTs/n22/DK6+kLjODdCDdxLof+SDfA/qXuhBQvEQB/xKCCuA5lGn1IilZ5mPXkcA64/96YKZtm4OBCiHEi9axfyWl/Iv9QEKITwKfBKh062plgJM68CIUvSzbRAFeQTpeBGnPkGMi0zhI09xmVwx2xab3cbt2L+iGon//JKHlW0FGo6ph8iKLXKJYTd+xRqYgnUwmVnNfN4LUZXZSkLqDFCSS1fShm8+VXwXpdzYPyN3E6jTMwwyeqqxU9RePZ0eQdgX50MKHGBwby/aNRzOxfi7t8XZW7VrFpIGT0o6nrUmmgtQEqYN0mpvVt2lidVKQ9ihdfXzzeoOYWPdULeTdTR0c0XCE80Z5hGXV+z3KQiiB66SUrwc4xDBgsWgSb5Hqg9y/hnkIwf+SmiKoL7ASuFkIkJJbMh3CYZk95VAMOAo4HagBXhdCzJJSLk3ZScq7gLsAamtrs0pbpBuroFGs2aaa0w2vW5COhn2Yh97fqR/gFaSTKYrVHhRj/g5qYjUJcseO1LL5RaZxkNGoSmDuNbtFPsZBmvWRKUinb99kkngnEysk77N9mEc0mszS43SOzk6Vbm/duuwUpJsizUSQugOny1koE6sZpGMSiFnnOlm8m4K015kXQTa3NfPsimf5QL9b+BeC8XXTAFi4baEjQWpTNSTfqXPPhcZGmD5d/TcVpK5PJwXpRJCZTKxeBLngkMv5+KOSuZ+e67xRfvEr4Gkp5aVCiEqgT6YdbGgsQJmyQqEV5Gzb/7cD7r8eGG38HwVsdNhmu5SyBWgRQrwMHA4sJc9wU5BeUax67Ja5v13dZSJIJwVpqjh7kI7e34sg3Uysbw+4je4xZ8Hq9/tSkNmaWE2C1I1mvkysJkEOHQqrV2c+BriTpR8fpIabgjR9kJA6bZVdQZo+VPPaYjGQdKP6jcJRQTY0qJlRgijIXEysTj5ILwXpNszDiSCdiNbJxGo+y7r+82Fi/fnrP6eru4tTB17Fv4BxtVMBWLB1ARdMviDtePYAK1DK8TvfSdalGaSjnx+3CbTt99euIE1TuxdBttctoaV+Lou3VxDvjhOLFK7ZF0L0BU7BGqVgucYC+RJlo3wp/yXLDgUlSCm5J8dDvAUcJIQYD2wALkP5HE08BvxaCBFDzR02E/hFjud1RDbjIHWv19zf9FGY+9mHeeht7CnT7ApyzBhljh061HtQs7ncycQqq5tZMODHcPgWWP1+10Ys3ybWTZuSZQkCNxOr6YMcNgzeeMP9GNkoSHtov3kvTTVz331w990qW07//mp5v37qu7XVeZgHuJtYIxEJN02GOdfCK1+nq0sNGH/kEfjYx9Tz0acPDBxYGB+kk4L044P0oyCdApO8TKwdHc4KUv/2E6QD6QTZEdkBH76R1f3P495ZP+eyQy9jUvRwAKpFX0b3HZ0SyWonSKdnQl+XEA4KMhJnX4tABemnXmsmBWk/r5sPctvQBwHo6u5iVfMqDhp0kPOG/hATQpjC5y7LOqcxAdgG/EkIcThKFH3OEjC+UE7zQRYlSMfKvfqQECwUgpX6k2k/KWUcuAl4BlgEPCClXCCEuFEIcaO1zSLUGMu5wJuooSDzC3Ed2YyDNBWkfoDtDY2bgjTJLBJxN7GefLLK6D9unLMZ2ISXD7Jr4Hvqx4CVjuX0UpC5mFjzFaSjr8OuILdtcy+fm9/Rj4L08kE+9JAirZdegv/8J9XECqkE6WZitRPkvuh6GLQcjvgDIFlQ+xt++LeXufrqZBqzykrld81GQbqZWIPOB1koH6RpYnUL0slVQS7sfAamPcQzNdfSmejkf97/PymKdtrQaczbOi/tuPqc9mdSQwj1zpkKsk8f4COX8Lnlh7CyObU51MeShjPIHqRjlsFLQW4d/CDRTpURYdH2Rc4b+UdcSnm08bnLtj4GHAncIaU8AmgBbks7igdko6yXjbKv9akGLgF+nWvBs0Gxolj/BNwBxIH3A38B7vWzo5TyKSnlwVLKiVLK71vL7pRS3mls8/+klFOllIdKKX+Z/+IrZBPF6qYg7dvo9SZBmorNnM3eTpCQnOopk4J0aux7TMcD56gfA1cAwQgyFwWZr2EeQqhj2Qmyuxt27nQ+RqF8kHMtV8+UKalqx4kg3Uysdh/k9ojVMA9cCYffy9vDbuLB7d8GlJLUyQFGjFCz1vuFm4K0p+xz6wDag3TclA8EI0i/JlY/CtIvQW6Iz4VEBedGf8bvzv8dEwdOTHmnTht3GnO3zOWRRY+kHc/03zupOZMga2pg/u7X4JDH2RZfyUl/PIkNezakldfpmbQngPDyQS7dsZR9tXMZuvJWABZty5kgM2E9sF5Kqe02D6EIM2uUcj7IYhFkjZT8FxBSskZKvkOJLjgXOKkzPwrSTpB24sk0zMOeY9WJIO1lDEKQPcprwBz1o+8GiLXx3sSPcffbd6dci3kOyM3EGoko/2m+CFL/Nn14w4ap31u2OB8jFwXp5YNcs0bNUzlwoCqP3QfZ2uo+zMM+jlP/3oLFut1R+OAnAVjR9X9QuZfW1iRBTp8O8+b5vyduz689ZV+uycohWCYdNxOrfRyklw/S9Mk7ndcsO8C6zrmwbQpn9/sC1x1xXco2iQTcetytHNlwJJ988pNs2bfFt4IEiPbfSNdZn4LqZmpq4Pb3vgctg/lU9X/ZtG8TTyx9Iq0+7J1xcFeQTqT84AJlXu2/6joa6hpYvGNx+kZ5hJRyM7BOCDHZWnQ6sNBjlzSIJnGx8blUNIkfUaL5IItFkO1CEAGWCcFNQvAhoGAD+gsFpyAd80X1a2L1qyDNqFEzQ44XQdobBKfygHOQTseAOSCtQg6by+ah9/HPRf9M2zdfJtb+/ZOqT5clCJwao1gs1Qc51HrK3CJZMylIM5G61zhIDX0tGzYoVV9ZmaognXyQfqNYt8h5sGsMrDoNYh3033c83cRh/PM90zdVVsKMGer4y/wMpDKu24kg9bNnXq+JoCbWIEE6TtuYCtJOGE4EqXOt+vVBrm2fB1umuyYrr4hWcO+H7qW5rZnb37g95f328kECdB71czj6LjjtW7y66Vn+s/ppeP2LjOh8H/WV9czfmvQMORG6l4J0SzX34MIHGbjvBGKto5gyZEoxFCSomTjuE0LMBWagxsEHwQeNz1nAXvbn+SCBW1GhvrcA30OZWa8u0rnzBruJVQ/b8CLIXEys9ghGU3G4EWQkmoBDH2RHy1mMZUDaentjL6Xl30x00tF3If13n8Ku/i/CNNXzNH0W+Tax6sAVkyB/+lMYO1YFtmSCm4IMQpCZoli9CNLJB6kb6+5uRZBVVaqh1mU15/Z0M7F2dqpjCpH6DGzqngtbpsN7V8OwuRy2+H5mHT2VrklP09p6YY+CnDFD7TNnDhxyCBnhRh7t7Uo1m/f4//5Pkc7Uqcm6yJRJx4kg/QzzcDKxuuVi1WWxm1gHDFD33o+JdWfbTrZ3rfckSICpQ6ZyythTeHTJo8Tj36eqSnVIvBRkW1cbrZP/BPEqOPoOrnjkPqYNmcbit2+m7WTBoRMPdfRt2hUqOAfpOJlYl+5Yyntb3mP6nl8QT8Ahgw7hvnn3IaVE+Jk+JEtIKecAR2e9fxnNB1ksBTlOSvZJyXopuVZKLgHGFOnceYOdICsqslOQbkE6kUhym2xNrAs7n4VLL+eMxw/mgQUPpK23N/b6vAu3LURGuhi09WK1cNo/AFi7ey37Ovf1lMmsB/Oa8kWQd94J99/v7xhOjZHdB5nJxJpJQZodkyAKEpIEaZKhNld2dXmbWFMic0WCSEUnW7oXw9bDYOGH4aebibWMYVzidDj4Sf6x7v/RMmAWVVWKvCoqFEH6gZeC1AFi+npvvFHN5agR1MQaJJOOV5CO+X54KUj9jPkhyHlbLILKQJAAHzrkQyzctpCOuqXq/Ifdx+mPTKbDuql2snpgwQN0V+2Ef96H6FCFevSyR+kTq6WtDQ4behjzt85HWlE5Tp2WoEE62rw6Zt+lJBIwZcgUdnfsZvO+zZQzRJO4RzSJ/sb/AaJJ/LEUZSkWQX7N57Kyht3EqrPWuPXAIbiC1KrBHqTj18S6sUuFoDfUjOWyhy7j/vmpbGP3p+nzztk8B4D6rWdCRx30W9+zfsn2JSnXl64gJW/ueYyuhH8bqRtBtrV5z75hIpMPMhpVPsBoNLiJ1VSQ+jy6zuzDPJyCdCCVIHW964CXri7vIJ2ea4rE4fNjefugi5Q5dcv0nu26umBsx/nQbz1/3foVdp96HRWVkna5h5FnPMzDW3/I6+te72l03eCXIBOJ9Ptjt2ZkG8Vq3kuvTDqZxkE6KUjz+F4EOXeL8vFGd0xnwoTUa7Lve+EhyuLXMf5Rdf6pD7Fq71KW7lTvSs/QKSm5f/79fPOFb1K19xBYdDEDH3+J1z/xOpMGTqJPH6U+Dx16KDvbdrJp36aUc9njHczr1dAmVrtZ91/L/sXMkTOpl6NIJOCQwcqcsHh7Yf2QecB02Sh36T+yUTYDhU8B5ICCEqQQnGNl0xkpBLcbnz+jIlp7FfSLogkyqIL0Q5D6PLqHLERyfKR+WexmLROb4otg3zB+f+LLnDz2ZK565CpmrZ+VUh7T7wfq+PO3zkckqojtPgiaVetQs/dQIGlm1ddpvojRKDDuRX6+8SIeWfyIc6Ec4ESQ8bgy6+VKkKbSjUTUYG0/JlY3H6S9YcqXgrT7IM3nS//e0rkK+m5ga79/WwtSCXLi3mvhjy9zad3P6R60iK01L3HCH05g9cxLWDb265zwxxO44mH70GHnOrCThyZI089sKje9TyYTazyeet1O58rFxOrHB2knSH3P7AQ5uM9gWjYP7zEh6zLZyzOm3xiOajiKrkmPUFklYcyrACzYPjdln4cXPczl/7yc/tX9mTj/j4CgX8ehPWTVp4/qdBw27DCAHj+k0z3JFKRjdtS6ZTdzt8xl5siZPfU1bcg0zp50NpXR7FJtFhER0SR6/EOiSQykeO7A1IIU+PgbUdl02lEDRvXncZTztVfBycTq5YM0zXTgbxyk3l43RPZl+vxuCnJDxyLYfggV9OGJy59gcJ/BfOW5r/SoCE2u0ShQ0Qr91hKJwJIdS6huPYhEPArNEwEYuPEyYpFYj2NfN+Km+yISASb8FyBtpgMveClIr9k3TDj5AO1DDkD5IYOaWE0FqaEVpC6fV6IASBKkzg1qHsNJQZpZeHTZ17UqRTJi7/kMjU2CHQf1HKerC7o6YrD2ZI7kBuio44nqj7Bg2wKu7HMP/GQrZ4w5nxdXv+h88STPb79+cDaxmuXW+/rJpGOf7zBXE6sTQcbj7grSTjhm9imNdza/w/Rh06mqSvXPuUWGXzr1UuTIWSTGPw212wFYuEMRpK6z/676L/WV9cz51BwGtx0PpNaFTqZ/6FDVGdUEGTRIx06Qq5pX0dLVwvRh03vqq6G+gX9f+W9OHHMiZY6fAa+JJvE90SS+C7wG/KQUBSkoQUrJe1Y2nUnW999QA/pflZLmQp67EAjqg7QrHDcFaTfVmQRp5hnNRJBSSta3L4ZtU+jqgr5VffnWKd/ilbWv8OyKZ1P2jUSAU/4HbpyBiMZZsn0JNS2HqGvbqQiydscJTBo4KUVB2pWrUpAvAAQKId+9OznkwSSGoCZWe3mcAoiGDs1NQWpoQrebCf0qSG0qB2cfpG7cTRPrmhZFkCdsvYf/N3opdKsD9OmTVNwAnfvqYP7ltIptXDD5Aq498mpoHcKE2Els3reZPR17nCvAuA77c9nenm5itZuD/WTScSJIPwrSr4nVDIwy8/F2dLj7IOvr1bfevrmtmTmb53DKmFOww40grzzsY9AdYdsxN6ljVvRn8c55PdcB8Pr615k5aibRSLSH2My60CbWwX0GM7RmOK8unedYXn195vWa9WIf5qHNxYcNO8zxnpQzZKP8Cyo5wBZUVp6LZaO8txRlKbSJ9U4hmCYlXULQDzWNyV+Ad4Xg8kKeuxCwE6R9PJYbQdpNrH4UpO4VmsEaponViSC3tmxlX6IZtk/pOff1R17PuP7juOGJG3ho4UN0dsmeSWcZ+SbUNLO7ah4rm1dS2zZZnWPdibB3OFU7j2bK4CmeBNnevU8dh2C+jc7OZE9YH1PPk+hXQZoKW8OJIL0SlgdRkDU1itR1GjcnH6QTQbYOeJP/cBvR6lYSog3OvYlb14zh0chVQNLEajbuPQS5bwm0DKYuOpBYLKlsamvVfpogm5uBWbcyJnI8vzr7Vz2N8PCKgwEV0egGLxOrGcXqR0E6+SBNE6v9nPb/biZWPUuGOQ5S72MqKl2H+1RcWQ8R2n16doJ8ec3LdMtuThufPjzbTdGOqBsFK8+kq24ltAzmpKHnsag5qSD3de5j7pa5HD9KKUdNbGZy95qaZC7W6M5DeWzpI3zs4Y/RVrk+pbzm+d1SzZnP4byt8xAIpg2Z1usIUjSJ44B1slH+WjbK/wXWiSZhn8WpKCi0ifVkKdF2t2uBpVJyGGr2ja8U+Nx5R1AFaQbZgL9xkHp7u4L0Y2LtGZKxbUpPI14ZreT+S+6nX3U/Pvzgh1kWeTSpIIeq3uqaugdJyAR92iarcyy+CH62CdFZz5TBU1i2YxmdiU5Hgpy99VWIxhkVO5ylO5amzJXnBfMa9LceAuBXQZodCA03BeknUYBJlnbzuD6eqUadTKzRKMrkPP55+gzcxYt9Pkv7x47jzcofI6Y8ypNr/gbH/gYpJcujj4HodjSx6vOu2rsEdkxOCV4B1ch2dSXratcuYNtUPl//GuP6j+vZf0SlGq+tA6286iCoiVVP7+Qnk06uJlY7gTopSPO37mzZCdJNQT6/6nlqYjXMHJXeDrspyHgceFclE2DtSUyqn87m1vVQ3Uw0Cm9teItu2d1DkE4K0pyvdMLGr1K99STum3cfzQ0Ppp3TzcTq5IOct3UeEwdOpLayttcRJCrr2j7jf4u1rOgoNEGaWuBM4FEAKSnvOGMX2IN0TNIClxcI/0E6uiFy8kGaJlZ75KCG9hVGdk7hnXeSy2eOmsm7n3qXvlV9WRN7llgM9iS2Qp1q6ZfX/A2AWk2QRrmmDplKQiZYumOpI0G+vvkFSFRwfPUnaI+3s3Z35hxn9obVTpBBFKS9PPaISlAKsqUl2Wjay6JhJ0tz2A2o35kIslsm4KMXwcdP55DfD+fd6J3wxi3UdA8lMekJnlv3GOway9k1TXSKvTBwWZqJ1fRBrtqzBLZPTsmqA+kKUqcws6vywZGJRETEl4L0E8VqBum4RzWn1ms8nho1be5rL4ObidUe5WqWwySMykrg0L/zj4qzQHRTU6O2X5b4D+v3rHf1QT6/+nlOHnuyYwCLJ0EuuYC6vUfCgo8wodYKoBo2j0iEnuA4Tbq6nKaC1D5qgAHNZzDomScZVDOI9trUyHGzPvyMg5y7ZS6HDVWBP72QIIVsTIZey0bZzX4apLNLCM4XgiOAE1FJxRGCGGruxl4FJwVpz6pjwk1BBgnSCWJiXbR9EXWVdUwdPTKFIAFikRgzR85kc8XrVFXB6jZrzFdXNftiawCoa5+cFlY+Y/gMAN7d9G6aSVNKybNrHod1JzAqotIt/r8/Z87UYZqoIXktOndmEAXpx8Sqs9eYuTk1vEysZmOtjzdkSNLE6uSDXLJjCVTto3blZXxk2kf4TMWb8PQvGdVyPvFxT/HSuudgyQWMlMeoHUbMTjWxDpvL9qEPEYvBrvZdbGvb4qkgMxGk6K5iXP9xqlwucBsC4RTFamb9sd9H87e9Lu0E78fE6qQgvYJ0en4f8hjrq5+F0a9RUwORAWv4e/QsvvvSdx0V5JZ9W5i/dT6njXPOfulJkPFqTpj3Nsy/3CDIuUSjyv84edBkBtYMBJwVpJmIQqvzyYMn01G/OO2cmRSkfg5bu1pZvnM504ep8uiJ0HsRVoomcYtoEhXW53OQeXKLQqDQBPkp1GwcfwJuNZTj6cC/CnzuvMPJB2k25n59kIUwsbZ1tfHK2lc4ZPAhHH2U4O23U2cCADh+1PHsqpxHrM9eVrVYBLn4IgCG1Q6jUvZL67FOHjyZ6lg1725+N02xvbHhDZY1L4b3rmIwKmz9wRcy+yH1OXI1sfoN0tHqRZOJCa8gHbuCdDOxmsT11oa3AJi08dv85UN/YULNUQAMab4AWbWH9kQ7LL6QAYkpRLtrYMTsngaushI45XtsPP5jRCs7k2bR7ekEqRVkiomVJFmYjfrkQZOzUpBOQTomMXkpSPtzFIulEpmbtcU+5Zt9vauJ9ZTvwSePUvsOtp7BQ++npgbkMb9Bim7e3PCmI0G+ulYN0Th13KlO1eNNkCQJa0Csgf6Vg2DYXCIReHPDmykmWycfZGVlsj3R0c6HDDqEzn7qGpzGQWbyQS7ctpBu2d2bFeSNwAmoKQ7Xo6YwvKEUBSl0FOtSKTlbSmZIyZ+N5c9IyRcLee5CwElBOplA7P+DJArQ2+tG0y2K1WyUWjpbOOuvZ/He5ve4+dibOeoo1YhvsCYHuP12uPlmOH708UjRTXzYW6xsmQctQ2D5OYAaRByJpL+QsUiM6cOmOxLkn979EzWxGlj4YWoYRGXXYNrqMhOkm4LMxsTqR0F6EWQmBelkYt2+3X3mhtkbZyM665jQVwXH6MazbusZiHg1/ar6wZpT6I7HGNg5A0bMZsH4T9F+ybk9CpJoB10D30uqviwUpDm29OBBB7N0x1LXhAFeJlYzSEeTsZ0gnYbW2M2j0Whqw+70DpiJMpyOAR4KcvwLMOIdOmJbYJBVb1MfpLtiD/HD70bIKPO3zqctrhx+pon17U1vE4vEeqwldniNy4RknXd3Cyb1PQyGzWVP92a2tGzhiOHJ8e1uCtKcxk4ryO6aLVC9y9PEqo9jN7Eu3KZyg08bOq2n/L2JIGWj3Cob5WWyUQ6VjXIY8Ang1FKUpViZdPYLOPkgTWQa5uFmYvUzzMPLxHrfvPt4Ze0r3Puhe7n68Ks50ppc5u231feTT8LTT8PMkao32znsNVbsnQdbDoONSuFMHjQ5JcDCjEY8cviRzNk8h3hC9pSnrauN+xfcz0UHXwodfUkkoLZtCm2jnuDqR65mza41btWYNwXpFKTj1FhHKztgysP8ZdEdjvPuOf3WCtLJxJpIqKhRJ4J8a+NbDJNH8cHz1Y66UezYW0vfxbfw+eO+AN0VdHXBwPajYdQsNo64CznhGUTtdhi4XG0/5A3mb52vZn9vnpBmorQP88ikIFu6Wti4d6NrPeptTdh9kPq+2Lf3Y2KNRlPvjRtBQnATa1UVMESRwuqaR6GinX7bzoK6rXxl0clQvYsZbV8gIRNsSLxHNJokF02Qhw49lKqYzXZpu6ZMBJlIwKT66TB0Pms65gBw+LDDe7b3a2LVSQQYtMTTxGoGIJn1t2T7EqIiyoQBKuFHbyNIANEkoqJJnCOaxF+AVcBHS1GOkCADQD+AmiCdxiM5/c/FxGpfJmVqxCPAv5f/m7H9xnLFYSpjyowZqlHTfsitW1XjNqBmALWtU9k98p+s3Ddf5fXcfgij4u/jvIPPS1GQZgaZIxqOYFf7LnaL1T2NxQurX2BPxx4um/qxnmsYvvUqaB/IX+f+lXveu8e1Hu0KUpsy8xGkY/7XDftvN14HH72EH879DJ97+nMp22ejIEHVqd0H2ZXoYs7mOVx56tFca6Vb1o1ZSwsMm/tjGk/9dk9np3/r0RCNI7orINLNrrF/gYgqUNug13lk8SOcPPp9kKjMqCD12Ey7D7KrSylIgHc3v+tYj36DdNwUpJNqb2+H66+HVauS98nLxGo28H5NrLq8HZEdUKfClJdW3QdAvwVfgj0j6JAt1M76AdP2qfu+Qb5FLJa0KsRikrc3vs1RDUc51o1becz/JkFOrJsOlS28uedRAA4fnk6QbiZWPTZ28iBrpqjBS2jvTJ7UriDtEbr6Pi3duZQJAyb0BBxFo8Fn2ykVRJM4RTSJO4HVwPXAB4AJslFeWoryhAQZAE4mVhN+Taxeycr19nYFqU2s9nN3Jjr5z8r/cPaks3sy9Pfpoybq1Qpyy5Zk49Zv52m09p2jzG3LzwYZ5fKOF7lg8gVEIqnqTpdLm4l2VLzbU553Nin2PWH08T3XNGz9DVT/YQEzhs/wzN7iVH8VFckgGrPx84JXkI5e/te5f+XFHX+Dl7/BeQ038NyK53qSr+tjaNiHeTgpSJMg7cp/wbYFdCQ6OHrE0T37mARp3suuLhi49xToqGPMXDX395bRanJ2sfUwdg1/lOU7l/ORaR/tOYeXD9J+PrNRnzlqJqP7juZzT3+O3e27sSMTQbqZWJ2CdPS2K1bAH/4Azz+fHwVpkrG2bujzb5XJwLCNFa+ofTccAb9Yx7/OWkbf975GTddIGuoa2MhsYrGkituZWMeOth0c2XBkWr1ouI2DtAcJdXdbBAm82vwAo/qO6gnQMbdzM7FqH+SEARMgEYODn+Syd4bwt3l/6zm+eZy6OmWSNqdHA6UgJw+e3HMO3aHYvRseeQQ2OhsSSg7RJNYDPwL+D5gqG+UlQJtslK2lKlNRCFIIPicEfYVACMEfhOAdIfhAMc6dTzgF6ZjIFKTjNQ7SVCpOPkitOuzk8tq619jXuY9zJp2TcswpU2D5cvVSbduWfIlGL/p/nDB7ObMu3KsI0lY+kyD1C3nYsMOIiig7KlMJ8uBBB9O/T33PNcTj6jzvG/s+Xl//Oh1xZ1upk/KoqEgqSPCnIr0UZDSqomxvffpWDut/ArzQxEn9Lqcj0dGTVQiCK8ghQ9TvbdvSTazPrXgOgGNGHNOzj27M9u1LNSl3dUFV2zj40W7ql18HOybR1mcJdPZBzr2C7lgrsUiMD0+7mB/+UE3/ZVeQ3d3JMXT285kEWVdZx/2X3s+aXWu4+d83O9aj+a1hD9LxoyD1b12uzk5/QTp+TazRKLRFtsJnDmV5x+sAbIpb8/FuUPUuWgfTvnMQyAh9+oie9+mYkcewOfpWCkEua1G9SL8K8q674NJLU6/BVJBja6aBFOxLNPdEkWo4KUgnE2ssUkFk90SY9iAtiV09z6vdxNqnj6oPMzl/t+xm2c5lSRWKfheUmr/4YnjjDddLLTX+CYxEmVM/KJpELSWaKFmjWAryOinZg5LLQ1BJA35UpHPnDflSkF69Z729WxSr3X/372X/piJSkZYBZNQoWL8eduxQx+9p3NqrGSAnUlWRbNV0A2hPmabLWR2rZsqQKeyqfqennO9seocjhh+RQvr6BT9l7Km0x9t5c8ObOMFNQZoEaVdG5qwpGl7jIKNRWL9nPTvadvDBsR8DGWVSxckMqB7AY0se69k+iA/SbmI1CXLLvi18/5Xvc8aEM3p8P+CtILu6ABlR17r+OOvAh8K6EwA4c8KZDOoziNtug2nT0n2Q+rgmnBQkwAmjT+CaGdfw+JLH04J1nBSklMkgnUw+yDS/74AVvLftrZ59ggTpOJXd/B2LwebIbBi6gKcSXwAkGzoXQmctLFYzbESbp/Rk0qmpSb47RzccTXNkCZE+u3pMrMv2vkNURNPIzIQ5Bd2sWfDss6llMgmyUvSBnZOAVP+juZ2pICsrU4N0QD1XYofyQ9ZG+vPGhjdS6syMho3FkvtHImp6uvZ4expBQjJjj901VC6QjfJzwDjg56g5g5cCQ0ST+IhoEnWlKFOxCFLnyDoX+JOUvGcs6zXINkjHriCdTKyZCNLNxPrcyuc4ccyJ1FfVpxxz5EjVeC5fnlrmjg71gtiVkfmtj2+W84jhR7C7j1KQO1p3sGb3Go5sODLlmvT1zhx+MgLhamZ1U5DmOEU7QX7yk/BRm5vey8QaiyUzC00eOAVQib3PP/h8nlz6JPHueE+5zePZj22vm8GD1bedIL/6n6/S2tXKr8/5dcpktF4EqeuhowPYYA0H2DIdNhxD3b4Z3HTsTSnXZhKIWyPnRpBg3cOO3WnBOk4Eac6BKYT6+PZBnnsT311xPiB7FKRpYq2p8e7sZArS2RVZAcAGMQsmP8HatoWwbQpsVKbt6K5DespqEuQpY08BIZFjXmZt5CX4YgMPrLqDqUOmUlPhPixbiOQxOjrUc2o+7yZBJhL0zLjiRpBOClLK5Dsaj4N471qYdQvn9P8Ci7cvZnf77jQTa22tqivTxKqHBtlNrJD0V7tNdFAOkI1Sykb5vGyUN6DI8grgIpRPsugoFkG+LQTPogjyGSGoB3qJ2ziJQilIex5FtyAdu4k10Z1g4baFjuahUaPUt/ZD6pe3s1O9YHbfmvmtz2eW84jhR9BRuYnuPlt6gj2030b7OHTZaiMDOXz44by45sW0coG7gjTR2Qmf/jR8xUpIuGqV+pjIZGLVmYWmDlUE2d4OF06+kJ1tO3vGvpkk56UgzfswcKAysertpYhz37z7uP7I61MaJjCiWDtSCdKc4SNFQW6ZDvEaTpj7LucedG7KsXQZKircGzndeJrDPDSmDlFzOOlhABpOUayaYHT5IxF/BCki3TD6NZWpacgiRxNrXR10JeKs37M+pQx+fJDRKDSzAjpr6Z84CM65hWX73oFtU2HTUURlFZXbk/5ETZCJBBw36jhi3X3oGvMc8yv+ANV7GVo7hI9OyxwgqSO8NRnt2+fsg+zuJkmQw1MJ0s0Hqa/VTF4vF10IT/+K8ZXquZi9cXZKexKJpCvIaJSeoUE6MMusz3JXkHbIRtklG+UTslFeAYwuRRmKRZCfAG4DjpGSVqASZWbtVcjkg3SLcgtqYtUvo5OJ1SSXtbvX0pHoSIaFG9AEaWbU6ehIJgkPqiA1Gbb3f7cnQEcH72hy0WXr6IDTxp3Gq2tfZW+HIQtd6kWfz0RHhzJn6fKbjZNGpiCdRdsXMbBmIKP6K7toezucNeksqqJVPLb4sZ5jgGo0/ChISCYL0PWzuXU98e64Y6CHUyLtFBOrda1sPIrjN/8Z3vt4T/ntMAnWaZYR83xmFKtGJoI0r9+LIPV2Tu/Blu6FUG3Zyse9mGJi1WWuq4O2mY0c8utDaOls6TmmXxPrDrkcdk7ktOb7oKKN3V07FEG2DuYz3YupW3p9z356HGc8DlWxKoa2n0LH6Kd5fefjXHPMh1lyyyK+cco3yARTQYJyB7gqyHeu56aDfpFi5jS3s0exgnq2TV+kruPRUaWK39jwRkpnLhZL+iB3ypVQs5NoVCWl71vVl2G1w3rO0VsJ0oRslG2lOG9RCFJKulFTl0wVglOAaUD/Ypw7nwiqIHM1sZpBOvZGNRZLzp7hRJAjR6pvkyA7O70VpJsPEpIp51r7KYIc228sg/oM6tnfNDl1dqoZ1zsTnfx7+b/TyuZXQba2pjYadoJ09UFOvxf6rWHhtoVMGTyFmhpl8mxrUwErZ0w4g0eXPIqU0nFiZHBXkJBOkOv2qbGVpu9RwyRITxMrgsntH4eOvinbmtBlqKxMXa/nPNTrzG1NkhlaO5SBNQPTCFJvk0ioTsTKlUlznC6/GQzipSCXd76mykEtjHvRUUHW9m+hc8Zvaelq6SlLkHGQO+QKaJ5Iv5ZjqPnrm1ww6hOwQKnAQdFxauwoihxN8yjA0H1nEO+7nN0du7lkyiX4hZ0gd+/2IMi9I7h83K0ppnZzOycFmdZh0vt0D+DgQQfz5oY3U6Kmewiyqo2nRx8DZ365Z17XyYMmp5zbTpDlbGItNxQrivXHqNDdbwJftj5fKsa58wn7OMhMPsh8B+m0D3+RG1+4GKKdVFQkzSn2nirAiBHqe8GC5DI9R56dIP0oyH7V/ahqncCuAc/z7+X/5uSxJ/ess5tYOzrgxNEnMrjPYB5d/Gha2ZyCO5wUZFubM0H+/OfKJ+lEkO2VG+Diq2k54TYWbV9kEaS1zmr0L5x8Iat3rWbe1nkp0ZF+FWTNyOUsrfs927qUzXfdPvU9vv/4tGt1Ikg99i2VIFN79l4EaVeQJkHq8+mMNCZBCqGmP1qwzXgoSFWQd98N06cnp4syFaTpIzO/zbIsa38NWoZwCBcrBdkpexRk87BH4cpz2Dn9u1C9C1CzTuhzpxDkad/khY6f9Ry35zoiCXZ2r4Sdk9Sz3DqWb8/4Pewa11NOfRx9302CHLLnDADqK+s5c8KZ+IU20+o6cFOQTskjNLT/WkdCQ/Kem8+3mfGpq0sl+HhjwxvE47Ln2F/5iops7pr0MJ2xnTDyTSIRybwt83osBRp2H2RvVJClgsNrWBBcBEyWEp85UsoT9iCdoArSaxyk0zAP0weZiO2h/Zyr+M+G9TB8DhUVx7J4+2IG1gxkcJ/BaWWtqkqfKNhUkJlMrHYfJECf3Uews+Gf0AFfOv5LKfvrYR6gGvxoJMoFB1/AQ4seojPRmTJLgpNpzo0gzcZY1/urr8Ls2TBuXDqRbK56CYD2CQ/R3hpnypApVFQowtANxAcnfxDxpOCxxY/R3T09ZfC5hj0Xq74Py3Ys45VJp9Aa3UzTbuDQv7F2z0qiIsrofuluEj8K0mlyZicTq6kgMxGkPp/d7D91yFQeWPAAUsoelWH6ILdvVwFFOiG7jvb0qyCXtr4G645n5Pj3M7f2Xv7ReRLNpw8jGn2YjcP+AP2fZiNPw6YjqRm9iHlb0gkyFgOO+h1Pxbfzz4XjuGTqJT3n2t29gTidsHMi7fXJzDpmHXkRZG3LYcRaR/Ghw09zzZzjBCcTq9nhgdRIa6f7d+qp8O67cIhh8DGnOHNSkPE4HDvyWO6dey87atYDo4lGobFRrW+b8nv1Y/BidrKCLS1bUsbhmmXpLSZW0SQORomosRgcJRvlaa47FQjF8kGuBHq9sM81SMdrHGQmBflK9W3IvlZQw8g3exSk3ZxiQptZNUwfpB8Tq53Iq3cpn+NFh1yUEoCgTaxm0mWAD035EHs69vD8qudTjuNHQXqZWDs6kj14O0FuqnwJ4pUQUSeZMngKQqiGXhPk8LrhHDfqOB5d8mhP58RNQZp105no5Mx7z0RG4sT+/gz9xWiY+k/W7l3F2P5je0x7JszGyM0H6VQHTgrSzQc5MDkWPU2FOhFkc3szW1qSE2SaClJvv327+jYVpK4/e1CPLte2lm1s6lwG605gaMvpEK9ke2wOHRMeob1yHc11r8HScxm166PwzM+YNnSao4Jsie+B2u1EiHHNY9ewbMeyHtLY0qUiWGme2BP4ZO/s2QnSvLeJeITJL73Jb879jb16PeHXB+mlIIVQWa5MmJNk631NBakJEmBlx5s9x35h1Qv84vVf0DHiRTXdVjTOrHaVvcpOkLosvYUggQeBd0i1OH65FAUpFkG2AnOE4HdCcLv+FOnceUMmgnQL0vHyrej/Xj7IrkQX70V+D2/fwOCqhh6CXLx9saP/UUMH6miYJlYnBWmWwYkg+2w+nViijsb3NaYsdzKxApw+/nRikRivrHklZfsgCtKM7DMzjuzZo9bZe+rrYy/ByjOp2qaGTUwZoiJYTYIEZWZ9Z9M77JLrHAnSSUEu27GMNbvXcKb8KfElH2Bc5CQY+Qar96x09D+CPwWp4dfE6qUg7Z0O+zmmDVEJrBdsXdBznRrmPdQK0ilIR0dr2u/j3C1z1Y+NRxPdNwZ+voEPrP8/db7a3ypT4KKLOb35flh9KocOOcyRIFfvVj7dM7t/SmW0kqseuYo33lIXIgZaBGmZWM1OjC6nLo+TgozHoSbRQF1lsGF1gYJ0cFaQTtD33Ez4YCfIw4cdTmW0klWd1gh/0c35fz+fLzz7BUS8hnFLfg7Aa61/cky63puGeViIy0Z5h2yUb8pG+bb+lKIgxSLIx4HvAa8BbxufXoWenJsuDbybidWuIJ2SlXspyJXNK+kWXbD2JA6pPxZGvkGn2M3mfZt9EWRfFffRM6jcrw/Sfj2VW4/josW7015Au4lVE1lNRQ1TBk9hzpY5Kdv7UZB79qixYXpbU0F2dqp1u3en3oNNezexM7IEVp/KoHnf4cLJFzKm3xhAEWSbEQd30SEXAbBUPO5oYnVSkMt3qkGlDTFFuiPksdBvPfO3vefof4TCEKSbD7KyUqkU8xh2lWqPZLUPpXAjSNPEqvez30cdNMb2KarBbx1M7b7piJahzKv5tVq37sSemTSmDjqMrS1b2dqyNcUasGqXIsiRiZO547w7eGPDG9yx5iYOnr6LbfEVRKmA3aMdFaR5z5L5VlMJ0qluM0EfIxcfpBN03ZkJH+w+yKpYFTOGz2BNXCnILW3rae1q5cdn/JiJj26kesvJ0FlLc2IDhw09jOpY6uzUvc3ECjwhmsRnRJNoEE1ioP6UoiDFimK9B3gAmCUl9+hPMc6db0SjzgqyqiozQQZRkLoBMqNV2X4Ik2qOhcFLWdqmZit3CtDR0CbW0ZZrTA/E92NijcUUCZlJV+JxqIilPzJ2E6vZkM4YPoM5m+ekbO+lIHVjo5NvmwrSfvydO1OP8fKal9WP1e+j79azefSyR4kIVV67gpw8eDKTB01mefTRHgW5SyRn+nBSkCualXoZXjkJgCGdSqW2x9uzUpBeJtYgPkhtYrVPpOtkYh1eN5z+1f17CNJcb5Kek4K0Tw5uf74Xb19MTbQO9jb0KKKuzgiRtafRJfZRlRgIOw7uIcgpgw4DYN6WeSnvwIqdqp77xifykWkf4aZjbmHdsN+x8kMj+d83/5chFeNARunsTPdBZgrSyZYgdcCTk4L064N0QiaC1Oc4dsSxrI3PBpFgzR5VP0c2HElld386OyKwWbk87OZVsyy9iCA/jjKpmoJqdikKUqwo1g8Cc4Cnrf8zhODxYpw73zAH5povWnV1OvHZx5JlE8VqDv5l+2TGxVSj/MfVauyWnvPNCVpB2gnSbyYdSFW7bo2LVl/2qExQBLlx70a2tiSjhbwUpB7Tp6dvso8NMyMJm5tT6+25lc9RRV/YfERaOWtq0ueDvHDyhayPvUikzy46h87ikTETeWm1CvJxU5ADqgfQv0oxUr+2GZBQJ3IjSFPh2H2QdvLK1gepFaQfgtSRrAu3pytI08SqfZBahYmIpD2RbMX182mWa8mOJYzpcwggegiyowPEShU5Ojx+PMhIzywUUwZaBLk1lSBXNq+EtoHEEv0AuGrwr+DOdzlj4Cf40JQP8aFB3wKUWbKiwl1B5pMgg/ogczGx2oN0QCWc76QFhixkzV5FkJMGTkq2R1sUQZp5gDV6m4lVNsrxDh/nF6zAKJaJ9TvAscAuACmZAzjbpMocQRSkbsjNXjgETzW3ePti6sVw6OjHSKF6iEv2vs1tJ97GpIGTXMvqRZB+gnTsZTXHZZqwJwowlYY2x763+b2eZU4KMlYhoaKFfv2AYe/xyz0nQ/3GFBOr/tbH7+42BsQnunhk8SNMjX4QumNpDZRdQQKcPelsukWc7oY36Bqqcoc+s+KZnmNHIlZmmJN/ALVbWL5zOZMGTupp1BLtNT0Nk5uJFdIH7+fDB+k0DtKuDJwIEpSZdcHWBUgpfZtY42OfYeu1g6HvurRtTQU5tlaZ/M1k5XLlGSAFoxJqaJAeKD+wahjDaocxZ/OcVAXZvILIrok9ZX/xRWDzDP780du590P3cuqAqwBYt04NZ8qkIE3zeaFNrPo8+TKx9ihIK1CHUW+wevcKKiIVjO6rIlo7O+mZ13XmqJlp5+htwzxEk6gQTeIW0SQesj43iSZRElovFkHGpcQ+z05Js7RnC5MgzRfNiSDt49u8FKTXbB6Lty9meFQ1PKKzH7x9A586+Dv84PQfeJb1iCPgpJPgNCs42jSx+lWQ9gbUreE2SdGuIIEUM6tTB2P7oMfhqwMR41+Cc25hnXgVjvltiokV1HnM4+s6fWnNS+xs28nhFZemLNdwIkgdids99D26BswH1DyX+rqjUdhTPR9O/wYtU+5k+c7lTBw4sed+trcD61WDNH5A7gSZSUFm8kF6KcjNm5Pm8qlDprKjbQfbWrelKUg3E2vX0NkQa4cJ/wXSFWRLZwvr9qxjbJ0y+afM5rFjLNd1v877am5h4MDUZ+voEUf3pFEzFWR0z4Sesr38shoaMWxYaj3s2gVjxmSOYrUryGwUlHZ7FEpBevkgQanFGgbC6NdYuXs54/qPIxqJJhXk3Kv41rhnHZOu98JEAXcARwG/tT5HWcuKjmIR5HwhuAKICsFBQvC/KPtyRgghzhZCLBFCLBdC3Oax3TFCiIQQ4tJ8FdoJJhnYFaS9wbNPrOw1DtKuIHWuzmhMsnj7YhoqjJ75E3fx2UMbXYd3aAwcCK+8AlOtccN68LdbkI49itVeVjeCNCMczesGGFgzkDH9xqQE6jiNn9ve91mIdbL82PNh3MtUJgbCkXfT2d3OquZVKerUPL4+xkMLH6Kuso5p1WelXQs4E+TAmoHUJkaRGDKXzn4qqvOtDW+xr3Nfj4JsqVBJANpGP8Wa3WuYNGBSKkG+cQs/PfOnjmNRNZwI0hz3ppHJB2mOu/Pjg9REvGaN8ke/+qpariNZF25b6GpitRNkd/1q9WPsyz3bmqbypTuWAjC+LlVB6kZ5THQmX/l8Da+8kry2eFyZBBdtX0Qn+5SfrzvOmt1riO2Z2FO2hQtVZ89eD6AIMsg4yEKbWLNVkF5RrAAREWGcOBnGvMKqXSuYOHAiYLRHiUqO6Ouc+MBUkGbyizLGMbJRftxKWv68bJTXAum24yKgWFV1Myq9XAfwN2AP8DnPPQAhRBT4DXAOMBW4XAgx1WW7HwPP5LHMjtDBK/q3hpeCtJtYM/kgR49WL8z27RCv2E5zezMNlapnnk0vUDfo2ZhY/SpIkyDtM3HMGD6Dtza8RaJbHcxJQe6ofQ22T0aKOGw7hBkr/wJ1W9n7scOZcPsEOoep/pQTQSa6Ezyy+BHOP/h8aitrUq5Jwx7FqjGw63ASg96jo998atsPIiETvLr21Z57ss8iyI7Bb9Itu1NMrO3tEN01mS+e8MX0AxuwJxA3FaT28Znb6euyw08UqwndqOu0eJs2qeVmJKv9/ropyHi9lSl+7EvQ8A5nPHgkOzu29JxHB5JN6JtKkPo7FoN+/VRnTV+bVpDdspvdfdRUaut2ryPeHSe2d2JPedauhfGGQDfvbTYKMluC7OhIvg9mqrm0ZOX4V5B+TawAYzgZBi1n4fYFTByQJEhzPkgnmAqy3M2rFhKiSUzUf0STmAAkPLYvGIpFkJdLyTek5Bjr8w2gycd+xwLLpZQrpZSdwP3AhQ7b3YyabHOrw7q8wnwIzYfNnuwa3BWkfTv7MI+6yW/ARdcQP+UbrKx5CICRVarhyYYgdSOn51u0Dwdwy6Sjy6ZhZvYxkYkgz510Lst2LuO0v5zWE9JvXsPejr3sqpwLCz7CBVtnwb3PUrn2HNg2BVm3QZ17hJI/TibWFc0r2NqylQ9M+EBaxLCGk4IEGNBxOPFB8+mu3M2Y7TdQEangxdUv9ihITZAadoL00xv3MrFmQ5B2BakDm9xMrPb5BkfUj6BvVV8WbF2QFsVqjxTW5YvXrYLuCAxcCRdcz/wd77K4/eWe8yzZsYSIiDC+n/KJ2xWkU4cskVCTGAPsrlMTGetI4coWZWJdv15t50aQY8cGU5BdXdkTpKny8qUgnUysTkE6AGPkKYBKWKFjD8ygwf2IIL8MvCCaxIuiSbwEPA9490ILhGIR5KVCcKX+IwS/QU2cnAkjgXXG//XWsh4IIUYCHwLu9DqQEOKTQojZQojZcafIBZ9wMkOCcxRrtibW/2u/WyXcPvEnvFj7GQArOjA3gjTzawqRTozZKkgvEyvAp47+FH+56C+8tu41fvbaz9J8uG9tfAspumHdCYyvORz2jGb3rgj8+QW4fQXj+o9DDn+759h2BannwJsyZEoWBJn02fTbdywzR83ksSWPEU8kFEHGVsP2gxFxFVli90FmQ5A6F2tXVypB+h3mYVeQdXXqv5uCNMePgopknTpkKgu3u5tYzbLHu+PEa9fBSsuE16CmO1vb+W7PeRZvX8y4/uPoU6kuyElB2q8jHlcJ1Mf0G8O++tlEo0klWrnvIBKJ5BRnuSjIfATpRKOpJJYvH2QmE6t5P4Z1H6EmhoYUBbm/EaRslP8FDgJusT6TZaN8oRRlKRZBXgxcIwSXC8FfgC4p+YSP/ZycbPbgnl8CX5VSekpwKeVdUsqjpZRHx7J5QyzYfYUabiZWM8zfr4l19Z4V1O46Dn66hSO6PsvZk85mWLUa8J4vE6tZHr9RrF4mVvOltitIgKsOv4qjRxzN6+tfT1OQr62z3NHrZ9Knj1q+axfQMgz2DePwoUdCg5qWxE6Q5jCYyYMmuxKk0zAPgP4dyZR5ffZN4+Zjb2bx9sVsGfZXolHYG10FOyZTu/0UaitqGVY7LC8KsrNT1a3TzA7mtiYiEdWxMRWkOfWRm4I0I4A1Dh92OG9ueJPlzUt7lpkmVo3KStiwZ4NK3bf4ImjvCy2DGVd/MOvjc3rOM3fLXKYNmZYWMakbfqf3Rr8Hx4w4hpb+bxGNwrub3mVInyFUdowgHs9MkKNHF8/EqgmyoqKwPkg3BSkTMVh3AkCPD1IHD3md07wnxQjQEUJEhRDvCiGeDLRfkzjN+r4YOA+YBEwEzrOWFR0FJUghGCgEA4Ea4HrgKyj/43et5ZmwntSJMkcBG23bHA3cL4RYDVwK/FYIcVGORXeFm4J0C9IxGy2/4yBX7FzByJqJ0DaQc+Sv+feV/6ayQt2qXBSknSDtxFgoH6TGcSOPY/bG2bR3qpZaH+v19a8zMDEV2gdQU6PKq8dBAhw68CgYtByqdtPentrQawU5pM8QBtQM6Cm3XwXZp/0gRLyGio5hRDsGc+nUSzl6xNGsmfhtZLSdPdFVsGscIxb+kD9d+CeEED3119bmTyno+jd9kPo+mgSZycSqr8tUkFqBehGk3cQK8PWTv05NrIbPvnQpVKjW2a4gtSl+1S6LpXZOgqd/BY/+mcMHHs+GxBwAOmULi7cv5qiGo9LK7WVi1e/LMSOOoaN2BfGqbbyz+R2OaDiCipggkVBTb0WjyaFK5v6DByfnRDTXFYogNYkNHpxMdQipnclsU82Z6tT0lZttSnc3RFaeTd+qvj3Dipzq1Y4SKMjPAYuy2O991vcHHT7n56dowVBoBakzILwNvICaA/I8/GdGeAs4SAgxXghRCVwGqQkGpJTjpZTjpJTjgIeAz0gpH83XBdiRMnbPh4I0H0ivcZB6XUe8g/V71jO1IWlCgfSeZpCX3E6Q9sQF9m/z+LqsUqaOOzSRycSqcfzo42mLt7EhMbfnfInuBK+te42R3apnrAlSlxVgSv+j1I+Gd1iwdSGmEUH7vyYPnpxSbr9BOnRHqd5xDHV7jlH3QUT4wWk/oLNmLRtH3EGX2AfN46nbN4MPT/swQF4UpG743EysXgRpjoPU+9fUpDd+2tfpRJBj+o3hrxf/lSW75sGRvwfSCVKXe/Wu1erHrnEw5xpYdh4H953BXjZB7RYW7pyLRHJEwxFp9e4UsWxXkO8f/34AtvV/ivlb53Pk8CNVRKulIEePdjY/j1FGlaIpSP3uDRmSTHUIyWQFhUo1p5FIQOztz7H85uXUVNT0lEujHAhSCDEK1cb/Pui+slHqJM/flY3yWvODSlVadBSUIKVkvJRMsH3rT8bMCFLKOHATKjp1EfCAlHKBEOJGIcSNhSy7G7wUpJMPMqiCXLVrFRLJCYckTSjmdzYKsicYxsXE6kdB2mcmMeFbQY46DoC1iVnEYkqdvLv5XXa172I8qpF0augn1R6pfpxzC9e8NQ2mPZBy7iU7lnDwwINTymcvp1aQ0magTyRgxKv/5JBF9/Rc4xkTzqCibTSrG36pFuwan1I3+SBIDTcTq1tj16cP1Namp+Y77TQ44YTUbe0mVnvH5exJZzO0egSMUEkS7CZWfexVzatACtg9pmfdQfUz1I/hc3hvqzJ/H9lwZMZG2vyt6/uohqOIdgxkxZBfEO+Oc0TDEYwaBfPnK4IcP975WJogMynIfPggTROrns9x587Uc2aTrNyJIN1MrN3dEItEGVKbDN/woyD1M5onE2tMx3JYn0/a1v8SZSnsTt/VN/7psOyhHI6XNbJ3xgWAEFQAnwZOsRa9CPxOSrpcd7IgpXwKeMq2zDEgR0p5TU4F9YGgPkizsfcK0tFKQOehPGHKRK67Dk4/PfVc2RCk9lsFMbHaFaSTEjCvy0tBLlgAs2bBddeNpqGugfW7ZlFR8VmAnqmwJkVVNoPq6nRTYR85BHaPhmHz1YIpj/TMIB+P7WJry1ZfCrK7O32geHc3VMYHUy2hy7p/Qgj6b7yYbRN/pRbsGke0X3KfoASpt89EkLrTIKV7I/7kkzBhQrqJ9e6707f1MrFqTO53BFsb3gUkr/W/GVF3BXBCyrFX715NRdsouhLJh3lCrfLdihFzmLN5GYP7DGZk/Ug27sURXibWaCRKzeYz2D1WdXyObDiSSy6Bz3xG1d3HPpZ+XaAiWMFdQeY7Wbl+F0yC1Pl6NUEGVZB+ZvPQ0JHV9nJpZPJB5klBxqWURzutEEKcD2yVUr4thDg16IFFkzgENRywn83n2Beodt6rsChWkE7ZZEbIFbkoSLcgHXOYhw5zP2jQRP7wBzjxxNRz6RcpaE/QNFsGCdIxe97gbmL1CtL54x/hppsU8Rw36jg2ilk9x/nvqv8ydchUBlQMB5wVZFsbsOQCWPV+jq25HCY9DRHV2u+KJQN0zHI7ESSk+yHNnKvmfem74ZLkn2ZnBZmLD9JeLl1mfR63RvyEE2D48HSCdIIfgjy47xEweDGMfJMl/X7D1pF/SCv3quZVVLelyrg+YgB9u8cixr7KO5ve4ciGIxFCuNaHl4kVoGaDSvBQX1nPhAETuPjiZIL0XBVkvghSwyRIvTwSyV+ycjcFac+4ZT9PJvXe3l5wE+uJwAVWPMj9wGlCiL8G2H8yytfYn1T/45HADXktqU8UVEEKQUxK4sAxUnK4sep5IXjPbb9yRj4UpJeJdfnO5dRV1jGkT+ooGH0unQ0jQxKdNFRWpg7zMMvjJ1l5T2/f4SXMZGJtb1fLpIQTRp/AI4sfoX//jXQmBvPKmle4/sjrqbDIW/sgTbS2Ak/9GoCpP36EN6v/TuSIe+k+7B5eF4MBMipI3Vi2t9OTLFtfn1YAprKv3noCVV3DELFO2jv6pRzPVJB6KjEv+DWxmkokUyMehCCdolg1Dq4/AiIJOOGnALQMeDOl3N2ymyU7llDVdg6mOEwk4JCuK3lz0g94dzN89cSvApkbafO32fhXrvsAAEc0HEFERBg2DN7/fvjvf9MJsp+l5idbE9kUK9WcxmD1yPHGG6kkne9Uc9qHrGEfL20/j5+6LyRBSim/BnwNwFKQX5JSfsxrn5T9G+VjwGOiSRwvG+XrBSlkQBRaQeq3LSEEE/VCIShZZoRcoV8UIZIPnhDOk9O6+SC9xkGuaF7BxAET09LImSbWbF7wqqr0ZMVBolhzMbHq+RvjcTWJMkBi7H+ZtX4WbfE2Th9/es/5nAjSDK4Z2X4GxCvp/uAnYNzLLORhoiLaM5uGl4kV3BWkDrLQkN1RDt7+JaahTLnF8EGa6idTA6uPZa8r+zb2eTTtmFRr5XCbqtw+HX0XQOXenmPPWj+LrS1b6b/zAyn7xeNwbEsTsTVqbOQRw49IKZdbec3fZn2LvaMY33IZl027rGfZR1XVc9BBtjJPgnfegXPPVf/NunIjyO7u5DOY7ThIDa0gW1rg5puT6/Odaq66OrOCDGJiNc9X5rhRNIn++o9oEgNEk/hjKQpSaB+kbuW/BLwgBHrCvXHAtQU+d0FgkoppDrOb6MA9itVLQa7YucJxCivzRcrmIbdn/THL49QouylINxOr+SLbFaT+39GhEoRXJQYRH/Mf/rmwPxWRCt437n2sNQjS0cRqoaulHjacjpjwAvKeZ3nfJ5/kkMN3UxmtTCmfG0HaI1lNBWkfNH/Yri8xpUGFXDv1wqXMnSDtJlZ9nkyNuBBqGy8FqTttXibWoZXjoK0/1Oyivm0ae2sWqDGna95HVRU8uOBBqqJVDN5xPsuN/eJxSHTF6PvsP7jlr7dz3sHn9VyDE7yCdPTvs5v/zqeNjJvXXgsNDXCMQxZOMzer2ZeMRpN1Zwbp6DLn08Tavz9cd13yHNkoSN3R9kOQ5a4gTUgpX0TFmmSD6bJR7uo5VqNsFk3iCI/tC4ZCK8ghQvAFYAbwO1TKoCeAu4GSXHCuMMnEbMycCNKuIIUARr7JysRLKdvpnmGiO8GqXat6smSYyIeCtP/2E6TjV0GacFKQoAgyIiIMbzudjlHPcM9793Dp1EvpX90/xWToaGK1sHcv8Mg9zHx7Pqw9mQtqfsyd5ydjtoL6IHWjY79/JnGCs4K0L3dDPn2QJioqcjexJhICNqtX8eDN31TlnfgGzPwVrQ3P8NCihzhr0llUylRbsiabysQAGk9tpK6yrucanJDJxGofC6zLf/75/twJ5n1yUpDgPI+rX5j7NDSouv/sZ+mZ/NnugwziAqmsdDaxOhGkl4IsJ4LMERHRJAboP6JJDKRIAaV2FPqkUaCO1Iw41iNFffrm5Q83BWmacfTL0dGR6u8C4Myv8EB0Dre3r6Z/dX8g2Ths2reJzkSn4+S7+STIbDLpZBrmoSGEu4LUDdTQfWewZvgD7O6ATx/96ZTzZVKQ+/YBrUMYWz+EWQ7lycbE6qYgTcJya2SCBOn49UH6PW4sltnEmklBJhLA2hNh+BwGb7+I6KDxdB3zM6jZylyAPfCD037An6Lp+zn588xy19YmG/5MJlYnggwCbSJ3C9KB5L3PlSAHD4a5c5WpV8NUkDrjkV/ozDwa5iQH9nGQuQTp6HP1AvwMeE00CT2048PA90tRkEIT5CYp+W6Bz1FUOPVUzZfSNIN0djr02PqtpUPs5vY3bufb7/s2kHyxVzWrjCVOk++aJtZBg4KXW5fD9J3mywdp7ldXl06QpoIEGLLnDBiupl06acxJgJrrLxZT5isvH6QONNJmLifV4bS8HBSkLpu5v5sPMp8K0ssHmUgAr3wD3voMnFhNdPOxdB78D1h5GhNqp1Nz6HNcMPkC7rFdp5u50vxfX58kyGwUZBBEo4pMvBSkfo5yJciqKhg3Lv382gcZdDopO2kFMbEG9UH2BgUpG+VfRJOYDZyGElcXy0a5sBRlKbSJNWCsZfnDDOu2+yAh9YG2m1i7ZTf0XQ/AL2b9gt3tKhWHfvB1xpJx/ce5njfbwb66HDpROWQXxZpJQdbWpjfEpg8SoLJ1PANXfJofnv7DnmCkc89VacWGDUsfN2gSpB6qognSr4I0o1hNZKMg7UEhmeA1DjJbH6Q+Tq7DPBIJIF6NaGlQ17z8AmraJsIj93LU9l8w/zPz6VfdL+063QjSrBvTelIMBam/C60gnVS7qSCDXoedtIIE6ZSrDzIbiCbR1/oeCGxGTY14H7DZWlZ0FJogTy/w8YsOJwVpEqT50tuDdLa2bIVoF1M6r2JX+y4eXfxozz4mQY7tPzbtvOYLmgtBOqkfJ5Xk5oN0egntBJlJQcbjMG7Bb/ng5A+mlEXn29Rl1UMoTB9kJgWp68Ypkw64B+loH5J9uVPd6MQL9uVu8PJB2k2sQXyQV18N553nvl5HsXr7INV3ZaW6L2L+FVywejnsHeEYga07Vzotnb2cQiS3MQkyU5BOtsEz9mM6mVj1f/385UqQTiSjTby5KshotLA+yDI3sf7N+tapSPXHb2rSvKOgJlYp2VnI45cCXlGskPrS2xXk+j1KPU7o/BAb6h/j9fWv8/EZH08hyIa6Bqpj6bLAfLBziWJ18p85qaSgUawaTgRp90FmmpPPJMidO51NrEOHppZTIxsfZFVVMAUJqh47O/PrgzQbdz/H/clPvNf7NrGSHMcbj8NAq69uqlNdDzqnrVdEqCbmTASZTxOrXUFGIumdpVwUpFk2NwWpg3SyVZA6lsGcizPIOMjebmKVjfJ86zvdx1QilCQyqDfDTUE6mY3sCnLd7nUA1MXHctyo43hpxevMnp3sda7avdrRvKrPoVEMBRl0HKRGXR1s2ZK63klBel2DLqMeEO5kYp02DX76UxXlaCIbH6STidVLQZplLNUwDz/wGubx6KPw+uswc2ayjFoVDhiQWm5wJ0in+6j9gcU0sZodi5kzU6Nfi21izVZBVlSkKkj7DEH7u4lVQzSJx1CZeB6TjbI10/aFRKFNrPsdMvkgvRTkuj2KIPt0jeb4UcezpHk+V1y7JyVIp9AE6WQ2y7cP0mscJPhXkLqBdVKQVVXwxS+mByzla5iHHwUJhUsUkA+C9Brm8fjjKgWgaWLVCR2qqmDECOUPNstmltdLQeptS6UgP/xheOyx5Lp8E6TbNWsTa9Dr0M+DnqXFVJBBgnT2F4IEfg6cDCwSTeJB0SQuFU2iJLlYQwUZELn4INfvWQ/xKirigzl+1PFI0c2myJtUJ85AROOs27OOy/tf7njeYphYzcbejMqFYCZWr3GQ+lh9+mQuq/ZBmgSpoyLdhjfka5iH6Zt0Ol6+fJB2M2YQH2Qm6KFH+ppNgtQTT5smVjPF2ezZaiC8WTazvNoc62ZiBXeCtCvIoIPrneCm9M3z5YMgzSA3+/mzVZD6WbK/1zU1+VeQZe6DBEA2ypeAl0STiKIiWW8A/ohKWl5UhAoyIExTjtl4+oliXbdnHdGWUchuwcxRyra1b8DrdHVBe8VG4t3xsjCxmuTvd7orDT9BOn4VpDaxOmUZcesJ52uYh31MnZuJ1U+jrlVXpiCdoD7ITLBHAZsdl44O9TEVpEkgDQ3pAUSQrEetTP0qSCelY3+28qEgvYLI9POXSy5Wt46ZmSggWwVpToStz2X3QWaTas5tiFI5QzSJGuAS4EbgGOCeUpQjVJAB4VdBdnerh9vug4y2jCaRgP7V/enTMo3W6feyO9LJtsoZgPMQD30Op99+ocvhx8Rqkn8+Tay6gc7kg/Qysdq3sSMTQdqPZSpIpyjWfCjIM8+En/8cZsxQ/4vlg9TH0B0MJwWp72tVVdJ87eZXNMurTaxu/jjwb2LNB0EWU0G6nT/bYR6miTUlYX4vTjWXC0ST+AcwE3ga+A3womyUucwvmTVCggwIvwSpGyN7FGus9WS6rVofvP7jrB31Ezj5B/xHqARDbgSZq5nES0E6KUn79QRJFJDJxJpJQbqZWE2V5/aiu/kgI5FUlaRhEmE2CtIPQfbpA5//fHoZwT2TTqEJUs+uYmZtMU2sdjiZWLu6kqnWnM7rN0in0AoynwTp9tyZPshcTKzmMxg0Wfn+YmIF/gRcIRtlIuOWBUZIkAHhFqRjf+l7BsVbD3+iO8GGvRuobR1NolYtG7zky6z9+5fh6DvpPP/TCARj+iVnbTehk1NnO12PE0HazXkmYbopSC8TFigFqScm1nViD9LxqyDtJtba2mRKLrf9KyqUeXBs+lBSqqv9zweZTwXpVEYNu4nVq6HP9jxuBGmus5tY7XAK0mlvd05UEFRBenW+/GJ/UJAVFan+TXsU64GiIGWjfFo0iRNEkxiHwVGyUf6l2GUJCTIg/CpIrZr0C7WlZQvx7jgVbaNIVKduw+xPMfGcf1ExbDlVMffkmrkQZFATaxAFaSdIUNemt81WQdpNrJogKyq8/S1r1jgfv7o61Z8J6cM81q61ZqrIow/SDrufSaNQJlYnH6T+rdeZBOmlIE2C7OjIzsRaSAXp9Fzo4+ZjHKQfH2QuwzzM8+lhOjq/c6Ygnd4+DlJDNIl7gYnAHOiZFlECIUGWO8wG0yvVnG6A9AOpkwRUto/uUWVJX53g0sTDfO0T3kN+nIYJ+EXQIJ0gPkjzOPo8HR3KtGjOkRfUB2k3serI10wvuduxJ0yAxYtTl9kV5E03QXNz8RRkRUWy41NsE6u5TmfSsZdPwylIJ4iCLHSQjldwk92SUW4K0owwlzJ5PLMjoSOSczWx9gaCBI4GpspGXRulQxjFGhB+FaTp2wHYsGcDAJXtI9MIA6AyWkG/6n6e53bqafqFl4nV3vsO6oPU21ZUpBIkpEdOgmqos0kUoNVpti/5ccep4QtOkYG6gdu8GTZsyG+iADvM8muChOIH6UCybs2G3+semz5INwWZaZhHIYJ0vBSkXUmXmw/SKYrVdNvoesqHibWX+CDnA8NLXQgIFWRgOClIJ5OkXUFu2rdJ/e9sSCNR87heyEVBOo2DdCJG/Z1NFGssljy+3axq/s6Ud9MtilUrSK8pnrxw3HHwy1/CvHlw5JFqmX2Yx+7dsG1b8roKrSDNhjDfPkg/ClKPK7WTth26XJWV6rc2sXopSDOAp9AmVj8KstA+yI6O3BSkGaSjTayg7lt1deYgnf1omMdgYKFoEm8CPS2IbJQXFLsgIUEGhBmkE0RBbtq7iYiIUNk51MHEWniC9Mqk4/SdTRRrvhTkmDHq/HpKoXwpSJ1WbdasJEGawzxAmVf1cAezo1AoH2Qslhp5WwgFqYnB6V5o8jSfCy+C1M+6NrF6+SCrqpIZepxMgcVWkIUkyHz4IE0zt5uCtJfdjw9Sb5dI9BqC/E6pC6ARmlgDws0Hae8VOynIobVDiUWjjiZWP42D20wVfhDUxGpXkH4SBVRUJI9vj1wF/8nKZ86EHTuSE9Kaqbfs1xAEY8eq9GlvvJFcZvc1Njcn15mEVQwFmW8fpJ3o8mFiNX2mbgrSNEfq4zo15MVSkHpZPnyQfkysuUSxmtYEJ4J0U5CZzmnev3KHlUlnMVBvfRZZy4qOkCADwklleSlIkyAb6hqIRimJggxqYs3GBxmLJRvE3/4Wrr3WWbX4icTt1y91cmdTnWZrYhVCmVlnzUous0ermmH1fhRkvoJ09DRRXg19UNjvVaYgHafyadg7g+3t6jn2oyDtZdHX6efZ8otSK0gzSCeXcZD6PE4K0iuK1S9B9gYFKZrER4A3gQ8DHwHeEE3i0lKUJSTIgAgaxWqaWBvqG3oGpOuxghp+XqpCm1izHQfpZGL94x9VQmwnH2QmBWnCvGYnkg+KmTNh6dLkjCP2YBwThVKQ9mdHz+JgHi+fJlaNrq5klKTTMA8Nr0w6uhH3yolrNsZOClL/L1UmnWzeH5P03dbnQ0GaViLTBwneycozPYe9iSCBbwDHyEb5cdkorwaOBb5VioKEBBkQQaNYnRRkIpGebSaIibVQmXRyHQdpBul0dKhG1K4gpVTH9HsNZoORD4K88EL1fccd6tuuIE0USkFC8roiEXVt9uCcQhCkrnvwVpCZ/MzRaJIgvUyspoJ0ath7YyYdLx9krtNd6dk8wNnEmg8F2RtMrEBENsqtxv8dlIirwiCdgDB7bE4K0ilRQKI7wdaWrTTUNbDYMrHqBkoTZilMrNkoSL/DPEBdozkwv6MjuDnN7BQ4JTsIiqlT4YIL4Pbb4Utfyl1BZtuoV1Soc+sMSfbzFIIgQamRaDSpSlpb0zsIfkysfhSkm4lVb9Mbc7F6+SBznTA5k4nVa5jH/mRiBZ4WTeIZ4O/W/48C/y5FQUIFGRBOCtLs7b3wAgwerMbTgXogt7ZspVt2M7xueE9PUxPk8OGpx/VCvhMF2BsVp2sLEsVq+iA1du1K/jaTY/u9BrPByIeCBPja11Qwzt13pw7zsKPQCtK8n/aGLt8+SJ0Bp6srVdVrgjS39WNi1ZG+XsM8vEysxVSQ+QzSKYQPMh9BOpnOaQ7TKXfIRvll4HfAdOBw4C7ZKL9SirKEBBkQJomYM5br5XPmqAjMJUvU/6qq5BjIhvp0E+uIEanH9UIuJlYn9eVlYs1WQdpfQDMqtKMjqVxyUZC5vuTHHQcHHwyvvJI0Wzk1MIXyQUK6WrDfg3xHsZopAE2/cFtbegchUycoGnUeHmLur03HbkrbDNLpTQqyED5I87k2nwm7D3J/D9IRTWKSaBInAshG+bBslF+QjfLzwA7RJCaWokwhQQaEnSB1Q6CX79ypvjduVN+VlSpAB6ChrqFnvJRupIIQZKEUpJOJNRsfpGli1ZPt6vqIxVJNrEF9kPkysWr0768aeScFqTs+xVKQTibWbI9rwrxXmiDdFKRfE6s9SMdNQZrPm35P7Nvsb+Mg85GsPGgmnf1smMcvgb0Oy1utdUVHSJABYTdpZCJINwWpCbKhQX2XgiC9hnm4jYN0aoBMdTF8uLqmK65Qy7SCrK9PVZClNLGCysrT2pqeKABg1Cj1bSrpQvggzcbQbq53mrU+KNwI0lSQfgnSzcTq5oM0OzNugTP2zlc+FKRXkM7GjapedY7fIAjigyyUiXV/V5DAONko59oXykY5GxhX/OL0AoIUQpwthFgihFguhLjNYf2VQoi51uc1IcThhSyPk9/Or4IcXjecqirVQOlevCZIPy9VPhIF+JnNw01BRqPODbfZePbrp679/PPVMpMgTR9kKU2soAhDK0jzeoVITpVlLs+3gjTNaXYfZD78j+BPQXZ0pKoV+34abkE6fhSkm9XBriALNQ5S1+e2bSphvTnFmF8E8UHmK0hHP/t+FOR+MszD4WnqQRZ3LXeUNUEKIaKoGaXPAaYClwshpto2WwW8T0o5HfgecFchy2TvsY0apT76vyYEu4IcUD2A6lh1j3LRvfjDDoNLLoETTsh87lwU5IQJ8K1vwbnnul9LJh+kWwPmFHmpG2RdH337ZqcgnYZ55MPEaipIk5T69VNBVuBPQRbCB5kP/6M+robOY2v3QUJwE2s06h3Far9XmRRksXKxgopizuX4fnyQ+R7mYY6D3M+HebwlmsQN9oWiSXwCeLsE5Sn7YR7HAsullCsBhBD3AxcCC/UGUsrXjO1nAaMKWSA7mcyfrx66ZcvUf93bM8eXbdqnkgRAsmHWvfi+feGhh/ydOxeCjETgu99NXwapPjf97aQg3Rpus/HU0A2yVtT19YosgypI85oLYWK1K8h+/WDQIPXbS0Ga4xizQSYTaz5gHkcnDjeTBWhkY2LV/jw3E6upIN0iS4s1H2Q+CNKPiTUfPkivYR5eycr3ExPrrcAjoklcSZIQjwYqgQ+VokDlTpAjgXXG//XATI/tP4HLeBkhxCeBTwJU5vCU2BtMbWJyekD1GLeVzSsZWT8SIE1BBilKLlGsTtAKSROkeW3ZKEinqEnTxLp5c/YKMt9BOn36KBUkZbqC1ARZaB9koU2sTvejqyt5TzXspOzHxKrhZGI991w46CD1O4iJNR8K0skFkE+CLESyctPEaiauDzIOcn8wscpGuQU4QTSJ9wOHWov/JRvl86UqU7kTpFOoguMkmkKI96MI8iSn9VLKu7DMr7W1tVlPxOlm849GgRP+H2ybBsuUHbOyEtbvWcfcLXP50ek/AlTD3NaWPttHkHPniyDtwxucTKx+FKQfE2uuPkjTJ5MvBek0a0f//v4UZKFMrIVSkFrRd3WlpjjU5wyiIM1tnZ7fa69NXV8ME6u+h4UiyFGj4OKL4eSTndfnQ0G6DfM40DLpyEb5AvBCqcsB5U+Q64HRxv9RwEb7RkKI6cDvgXOklDsKWSC3BjMSkfD+b0O8Gn6zEPY1UFUFjy5+FICLDrkIyE1B5psgTSIEZxOrHwXpZWLN1QdZSBOrNhPmoiDzbWI977ykDzRXOJlYzU6KuZ1fH6QfBWli4sTktGUmCqEg3e6FuXzKlOyOX1UF//yn9/mz9UFmyqTj5YMMYmLNV3S0F4QQo4G/oCY87gbuklL+qrBnLRzKnSDfAg4SQowHNgCXAVeYGwghxgAPA1dJKZcWukBuBLm9YxNUtKvPRz4MMkJn89E8vPhdpgyewuTBk4Ekcezerb6DKMhCmFjNF8tpmEc+FWQuiQIKEaSjYXYISqEg6+uT9XXRReqTD/iJYoVgJlaz3JD5XnzjG/D1rzuXLd8K0mv/WEypQF0P+YZJkPnwQQY1sfohyCKZV+PAF6WU7wgh6oG3hRDPSSkXZtqxHFHWBCmljAshbgKeAaLAH6WUC4QQN1rr7wS+DQwCfitU9ygupTy6UGVyazDXt65UP1aeBhOeh92jaR/7Ci+uhq+flGwh7MqqlCbWk09OzmoB3goykQjmg6yuVr1VnamlpiZ/iQLyNcxDwy1Ip5A+yEsvhb171e/vfx/27MnuOF5wM7E6EaR5HZmSQQRRkHoaL6fj5XO6Ky8FqY+drXnVD7QPMl+p5oIG6fjxQRaDIKWUm4BN1u+9QohFqFiSkCALASnlU8BTtmV3Gr+vB64vVnlcCXKfRZD/uoMBfatoXjWGfpd+lZbpv+Cjh360ZzvdUOkcpdmYWPPlo7KrFZMMdKNmmljdyMDJxCqEIqF9+1QnoKpKNcy6cQ4axVqIRAEadhProYfC8cfD9OnuCRJyVZCf+lTyt05MkG/4SRQAqdfvZoazp5rTyFbN59vEmklBjhoFJ56Y/fEzIRcFaT7XZpCOn3GQQRRknjrWMSHEbOP/XVZ8RxqEEOOAI4A3nNb3BpQ9QZYb3Hps6/atBClg1zgOmljJm6tg+Lyf8Ma936Bfdb+e7XJRkPk2sdphJ397Lz+IiRWSgTCVlclGQM8/WA5RrBp2E+uAAfCaNXho+XL1nW8fZDHgRJDmOEh9f01znh8/s95GR2lnW7Z8j4P0uhfz5hU2QMUM0sm3gvTKxRrEB5knBenLQieEqAP+CdwqpSyAfaQ4KOPXuzzhpiBX71kBu0dDopKJE9WyqipSyBHKy8Rqh1NGnZUr4dOfVoFFQUyskGyUtYKE5ADzUmfS8VKQJgYMUGXXs65o9AaCdBvmoVV8fb36Nq/f7dlyMrFqM3o2KISC9LoX1dX5Gz7jhFwUpE5917evt4k1l0QBkUjxhngIISpQ5HiflPLh4py1MAgVZEC4PZBr9qyE5gmAyloDzg9kPkyshSZI8xoffFC9oCNHJn1zbvvZSU83yua0R3poRTnkYtWwD/MwMWgQbNgAAwemLs/VB1kMZDKx1ter59A0m7rdFycTay5KPhZLEnW+FGQp70UkkpyQOmg5Jk+G//4X3ve+VIuFnyCdID7IYgzxECoQ5A/AIinlzwt/xsKijPu/5QlXBbk7nSCdGhCdB1IryHIkSPNbv5wbNgRXkJqEnBRkOZlYTfOTnSBBkaRdKfUGBWmOCzRNrF4KMoiJNVOAjhdM830xFGShocve1ZVdOU47Ld3UrZ9zHfGe6zjIIinIE4GrgNOEEHOsz7mZdipXlPHrXZ5wIsjWrla2tGzuIUhtYvVSkM3NqrEJ8jIV2gdpJ0i33qodmUyspg8yWxNrLKZUbGUljB/vb18v2BXk8cfD7bfDqaf62783ECQk69lNQUJqw5zJxGqa/nLpqOTbxDpuXDLJfCmgOwt79+Z2HaZPsV8/OPxwePRRtaw3DPOQUr4qpRRSyulSyhnW56nMe5Ynyvz1Lj84mTRWNa9SP5oVM+oG3KkBMU2sQR/YUihIp/O77efHxBpUQZrXPHKk2v/oPAzisRNkRQXcfLP/cu1vBOnXxJovBWkG6eRjuquvfx1mzcp+/1xxyinqu6Ult2fCPmPPVVfBm2+qCdhzGeZx4YVqaFGIYCjz17v84KQgVzSvUD8sBTlokOr9ZVKQQXvghSZIe2/UHriSjyAd7YPMJkgnyH6ZYI6DzKZh7s0E2dmpyq3N/X5MrGY6tHz4IE0FqTtN2UxDpSFEaX2Qxx6bDOTKh4LU31dcoe7VvffmFqTzmc/A176WfbkOVJT5611+sBPk4u2L+fYL36YiUkFk1ySiUUWCw4Y5Z+3QBNneHryBKbaJVft1LrxQ/Xd7Cb2GeUBuCjLfxGgvG2RHcr0hSAeS9Wcf5mF2Wkyzqdt9Oe88+OUvlfsgHyZWU0GuXKmCoOwRxL0JkQhccEHyd7awD9toaIAzzlDmf51Y32v7EPlFSJABYSfID9z7AdbvWc/DH32YWNdA+vZVvdl77oHvfCd9f7NhztbEmm+y0HDyQU6bpvwgXud1ShQA+RnmUSjVbA/SCYreriBNv7AfE2v//vC5z6WOfcxXkM7y5TBpUvbHKhfopBv5VJAAP/85nHkmHHFE+ryxfhVkiOwQDvMICNPm39bVxro96/j+ad/n/IPP73GsAxx3nPP+ZqMStAc+fboiK6dIy3zATpBDhqigFT11UT6DdEqtIKuqVGMvZfYKsqYmOYatXKHrTZsvtQ/S7LT4MbGayLeJdcUK9/elN+G009Q7M2RI9sdwUoTTprknSneLFwiRH4QEGRCmgtzeuh2AIX3UGxGLZTYTad9PW1vwBub002HOnIAFDgB79OqLLyqltXq1+p9NJh3Irw8yXxAiOSdkNr3vWAzeequ0kZN+YCrwysqkgqyqSlWQQZR6PoN0OjthzRr42MeyP1a5oKoKFi1KBj9lg6AdQu17DRVkYRASZECYBLmtdRsAQ2qH9Kzz40fRc0KW2+Sl9t6oTgwwYYJalq2JNV9RrPmGJshse9/TpuW3PIWA9i/qSF3tgzTviR8Tq/2YkB8FuWaNCj7RQ6N6O9ySafhFNj7FkCALh1CYB4Rp89/WYhFkn+AECfkZ8J5PuCVBqKpSJOk2VZCbgnTyQepZK7IZB5lv6PuwP5unYrFUFZ4PE2s+FaTOHLM/+CDzgWziDHQHKET+ESrIgHBSkIP7DO5Z15sJ0i1BACgfiNu1BfFBLlqkxon6Vc+FjNzV5dufe99mBiJNkPYgHT9RrCby5YNMJJT/EfYfBZkrsiHIUEEWDiFBBoQZpNPjg7RMrFdeCTNnZj6GOfyhnODl8J8+PfN+flLNdXfDBz/ov0yFjNw9UBSkmcM2k4Ispg8yHlcEWVurhkWFyM7Eap+CLET+EBJkQKQoyJZtREWU/tX9ARWO7QflriCDEoYbiTn5ICEYQRZSQer7sD83LnYTq87F6jbMI4iJNR8KcvlypR6znRVkf0M2LoVQQRYO+3HfuTCwm1gH9RlERASrxv2NIA89FL76VRXmbsLJB1lfn0zL5QehDzI3mArSjw+y2EE6K1aE/kcT2SrI/fkZLiXCag0I+zAPHaATBHpMWrmaWIP2Risq4Ec/Sh+f6ZRJ56yzymcGkwNFQTqZWO0KMhsfZK4m1vZ2WLYMpkzJ/jj7G7JxKQwenHv0bAhnhCbWgLArSO1/DIJyVZBCqE++eqOmgqyshFtvhcsuC3aMYphY9+fet1MUqx4HaaaaK4WJtbtbfT7ykeyPs78hG4J89lmoqytMeQ50hAQZEGaQzraWbUwf5hG94oJyDdKB/M6rZ/oghYBf/CL4MYphYt2fFaQ9itXMxRok1ZyJfAXpABx5pHcA2IGGbEysDQ2FKUuIkCADw25i1UM8gqBcFSSo68oXYQwcqHyOo0dnf4ximFj3ZwU5alTyOu3DPEwfZCmGeQBcc032x9gfoet/f+609SaEBBkQ+sEV0QQ723Zm5YMsd4LMp4Jcvz43808hFaRWuPszQf7udyrfLKQP88g1ijUXBTl0qHouLr88+2Psjxg7Fm67Dc45p9QlCQFhkE5g6IakPbIDiczJB7m/m1hBJfPOxwSyYZBOdjCVon2YRymjWK+/Xk1zNTi4AWa/RiQCP/whjBhR6pKEgFBBBkYPQYrtINnvTKy33KIiTcsFZgRmvnEgmFhNeA3zyCZZea7zQeYy60WIEMVASJABUVkJkyfDgFHbYB37nYn1Rz8qdQlSccIJqkdtnwcvHzgQFKQJt2EeQaNY8zHMI0SI3oADpO+cP0QisHgxTD8udSaPIChnE2u5obJS+WQK0Zk40BRkVRXs3asG6Jc6UUCIEL0BB0jTkF/8/p3f88CCB4D9T0EeSNDBQ4Xwb5Yjjj0WVq1Sv53mgxwxQiWSz4R8BOmECNEbEJpYA2J3+25ueOIGAPpU9GFQn+ApLEKCLA+cfTbccceBMw7vkkvgi19Uv+1BOpGImpvRj7lZE6Pb9GchQuwvCBVkQKzbsw6An575U9791LtURoPbSUMTa3mguhpuvPHAMbGOHQvHHKN+2xUkKGXoJ2n4GWfAPffAjBkFKWaIEGWDA6RpyB/W71kPwHGjjuPgQQdndYxQQYYoFS65RH2bCjLoGNPKSrj66nAGjhD7P0KCDIh1u5WCHN0v+/QwEyao7DJhkuYQxcZHPqKU86hRqSbWECFCpKPsfZBCiLOBXwFR4PdSyh/Z1gtr/blAK3CNlPKdQpVn3Z51RESEEfXZj+QdNgzWrs1joUKE8Inx42HLFpUCEOC734ULLyxtmUKEKFeUNUEKIaLAb4AzgfXAW0KIx6WUC43NzgEOsj4zgTus74Jg3Z51NNQ1EIuUddWFCOGKvn2Tv7/1rdKVI0SIcke5m1iPBZZLKVdKKTuB+wF7f/dC4C9SYRbQXwhRsPz26/esZ1TfUYU6fIgQIUKEKBOUO0GOBNYZ/9dby4JugxDik0KI2UKI2fF4POsCrdu9Lif/Y4gQIUKE6B0od4J0ipOTWWyDlPIuKeXRUsqjY1lODSGlZN2edYzuGxJkiBAhQuzvKHeCXA+YbDQK2JjFNnlBc3szrV2tIUGGCBEixAGAcifIt4CDhBDjhRCVwGXA47ZtHgeuFgrHAbullJsKURg9BjL0QYYIESLE/o+yJkgpZRy4CXgGWAQ8IKVcIIS4UQhxo7XZU8BKYDlwN/CZQpUnH2MgQ4QIEWJ/hRDibCHEEiHEciHEbaUuT64o+7EKUsqnUCRoLrvT+C2BzxajLDrNXGhiDREiRIhU+ByW16tQ1gqy3LB+z3qiIsrwuuGlLkqIECFClBv8DMvrVSh7BVkItLa2SiFEW5a7x2KNsezHiRQOMaAcywXlW7awXMFQruWC8i3b/lauGiHEbOP/XVLKu6zfTkPuCpa0pRg4IAlSSpm1chZCzJZSHp3P8uQD5VouKN+yheUKhnItF5Rv2Q6wcvkactebEJpYQ4QIESJEPlC0IXfFQkiQIUKECBEiH/AzLK9X4YA0seaIuzJvUhKUa7mgfMsWlisYyrVcUL5lO2DKJaWMCyH0sLwo8Ecp5YJ8n6eYEGqURIgQIUKECBHCRGhiDREiRIgQIRwQEmSIECFChAjhgJAgA6Bc0igJIUYLIV4QQiwSQiwQQnzOWv4dIcQGIcQc63NuCcq2Wggxzzr/bGvZQCHEc0KIZdb3gCKXabJRJ3OEEHuEELeWqr6EEH8UQmwVQsw3lrnWkRDia9Yzt0QIcVaRy/X/hBCLhRBzhRCPCCH6W8vHCSHajLq70/XAhSmX670rcX39wyjTaiHEHGt5MevLrX0o+TPW6yClDD8+Piin8wpgAlAJvAdMLVFZGoAjrd/1wFJgKvAd4EslrqfVwGDbsp8At1m/bwN+XOL7uBkYW6r6Ak4BjgTmZ6oj676+B1QB461nMFrEcn0AiFm/f2yUa5y5XQnqy/Helbq+bOt/Bny7BPXl1j6U/BnrbZ9QQfpH2aRRklJuklK+Y/3ei0rknjZJdBnhQuAe6/c9wEWlKwqnAyuklGtKVQAp5cvATttitzq6ELhfStkhpVyFSsp/bLHKJaV8VqpJAwBmoca2FRUu9eWGktaXhhBCAB8B/l6Ic3vBo30o+TPW2xASpH84pVEqOSkJIcYBRwBvWItussxhfyy2KdOCBJ4VQrwthPiktWyYtKYgs76HlqBcGpeR2miVur403OqonJ6764B/G//HCyHeFUK8JIQ4uQTlcbp35VJfJwNbpJTLjGVFry9b+9AbnrGyQkiQ/lF2aZSEEHXAP4FbpZR7gDuAicAMYBPKxFNsnCilPBI4B/isEOKUEpTBEdbg5QuAB61F5VBfmVAWz50Q4huo3J33WYs2AWOklEcAXwD+JoToW8Qiud27sqgv4HJSO2JFry+H9sF1U4dl4fg/QoIMgrJKoySEqEA9/PdJKR8GkFJukVImpJTdqLkxi24mkVJutL63Ao9YZdgihGiwyt0AbC12uSycA7wjpdxilbHk9WXArY5K/twJIT4OnA9cKS2nlWWO22H9fhvltzq4WGXyuHflUF8x4GLgH3pZsevLqX2gjJ+xckVIkP5RNmmULP/GH4BFUsqfG8sbjM0+BMy371vgctUKIer1b1SAx3xUPX3c2uzjwGPFLJeBlF59qevLBrc6ehy4TAhRJYQYDxwEvFmsQgkhzga+ClwgpWw1lg8Rav4/hBATrHKtLGK53O5dSevLwhnAYinler2gmPXl1j5Qps9YWaPUUUK96QOci4oIWwF8o4TlOAllApkLzLE+5wL3AvOs5Y8DDUUu1wRUNNx7wAJdR8Ag4L/AMut7YAnqrA+wA+hnLCtJfaFIehPQheq9f8KrjoBvWM/cEuCcIpdrOco/pZ+zO61tL7Hu8XvAO8AHi1wu13tXyvqylv8ZuNG2bTHry619KPkz1ts+Yaq5ECFChAgRwgGhiTVEiBAhQoRwQEiQIUKECBEihANCggwRIkSIECEcEBJkiBAhQoQI4YCQIEOECBEiRAgHhAQZIkSBIYToL4T4jPV7hBDioVKXKUSIEJkRDvMIEaLAsPJhPimlPLTUZQkRIoR/xEpdgBAhDgD8CJhozQ24DJgipTxUCHENakaFKHAoKp9oJXAV0AGcK6XcKYSYCPwGGAK0AjdIKRcX+yJChDjQEJpYQ4QoPG5DTbE1A/iybd2hwBWoXKLfB1qlSmj9OnC1tc1dwM1SyqOALwG/LUahQ4Q40BEqyBAhSosXpJqzb68QYjfwhLV8HjDdmpHhBOBBlWITUBPbhggRosAICTJEiNKiw/jdbfzvRr2fEWCXpT5DhAhRRIQm1hAhCo+9QH02O0o1j98qIcSHQc3UIIQ4PJ+FCxEihDNCggwRosCQah7A/xNCzAf+XxaHuBL4hBBCz5JyYT7LFyJECGeEwzxChAgRIkQIB4QKMkSIECFChHBASJAhQoQIESKEA0KCDBEiRIgQIRwQEmSIECFChAjhgJAgQ4QIESJECAeEBBkiRIgQIUI4ICTIECFChAgRwgH/H89VKkL9NI65AAAAAElFTkSuQmCC\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "fig, ax1 = plt.subplots()\n", + "\n", + "ax2 = ax1.twinx()\n", + "ax1.plot(time, noisy, 'b-')\n", + "ax2.plot(time, noisy_response, 'g-')\n", + "\n", + "ax1.set_xlabel('time')\n", + "ax1.set_ylabel('Tokens Staked', color='b')\n", + "ax2.set_ylabel('Conviction Accumulated', color='g')\n", + "plt.title('Comparing Multiple Tokens Staked to Conviction Accumulation Over Time')\n", + "\n", + "ylim= ax1.get_ylim()\n", + "ax2.set_ylim(0, ylim[1]/(1-alpha))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The above plot shows the signal processing power of the conviction voting algorithm. It effectively computes a time average scaled by a factor $\\frac{1}{1-\\alpha}$. In fact, one variant of conviction voting would include this normalization, creating an exponentially smoothed weighted average. However, in the basic version we choose to define it as a leaky integrator because we wanted to make explicit the value of ones votes accumulates over time to more than what one would attain in a standard voting method: $x< \\frac{x}{1-\\alpha}$ whenenver $\\alpha\\in (0,1)$." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Multidimensional Example\n", + "\n", + "Now in order to proced with this example we need to make it a little less simple by considering a case where there are $n$ participants and $m$ proposals. In this case the signals are distributed across the agents. That is to say each agent $i$ will get to choose their stake for each proposal $j$ based on their private preferences. They can make that decision however they want, as long as the action they take is valid and allowed by the system.\n", + "\n", + "Suppose participant $i$ has $h_t[i]$ tokens at time $t$, then they may choose to stake them across the available proposals $\\vec x_t[i] = \\big[x_t[i,0], \\ldots, x_t[i,m] \\big]$ where $x_t[i,j]$ is the number of tokens staked by participant $i$ in support of proposal $j$. The staking action is valid as long as $\\sum_{j =0}^{m-1} x_t[i,j] \\le h_t[i]$.\n", + "\n", + "The information used to decide on $\\vec x_t[i]$ is private to agent $i$. Furthermore, in cases where $h_t[i]$ is variable (due to transferability of tokens), the quantity $h_t[i]$ itself is a decision as a consequence of private information related to agent $i$. For the purpose of this discussion, we don't worry about how agent $i$ decides to hold $h[i]$ or chooses to support proposals according to $\\vec x_t [i]$ but we do assume that in doing so she is expressing some of her private information, both magnitude $h_t[i]$ and direction $\\vec x_t[i]$.\n", + "\n", + "Given the choices for all participants we have a time varying matrix made up of terms $x_t[i,j]$:\n", + "\n", + "$X_t = \\left[\\begin{array}{c}\\vec x_t[0]\\\\ \\vdots \\\\ \\vec x_t[n-1] \\end{array}\\right] \\in \\mathbb{R}_+^{n \\times m}$\n", + "\n", + "satisfying the condition that $X_t \\vec{\\mathbf{1}} \\le \\vec h_t$ for all time $t$ where $\\vec{\\mathbf{1}}$ is the $m$ dimensional column vector of ones and $\\vec{h}_t$ is the $n$ dimensional column vector of holdings. \n", + "\n", + "The most interesting thing about building this matrix view of the system is how it unifies the local and global states of the system. Surely each agent will make their own choices about $x_t[i,j]$ and $h_t[t]$ and those choices will vary in time based on a wide range of factors that we cannot hope to totally understand, but we do know that even as it varies in time our actors are using the freedoms afforded to them by this policy to move the system towards outcomes they percieve as best relative to their private preferences and information. The key to our algorithm is to compile that spatially distributed time varying singal into a discrete decision. We do this by restating our conviction voting algorithm in its matrix form:\n", + "\n", + "$\\vec{y}_{t+1} = \\alpha \\vec{y}_t + X_t' \\vec{\\mathbb{1}}$ where $X_t'$ is the transpose of $X_t$ and $\\vec{\\mathbb{1}}$ is the $n$ dimensional column vector of ones. This expression is equivalent to\n", + "\n", + "$y_{t+1}[j] = \\alpha y_{t} + \\sum_{i} x_t[i,j]$ where $\\vec{y}_t = \\left[\\begin{array}{c}y_t[0]\\\\ \\vdots \\\\ \\vec y_t[m-1] \\end{array}\\right] \\in \\mathbb{R}_+^{m}$\n", + "\n", + "This mathematical structure is actually the same as the one we demonstrated in the one dimensional case so we will review some the same checks." + ] + }, + { + "cell_type": "code", + "execution_count": 118, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd\n", + "\n", + "n = 3\n", + "m = 2\n", + "\n", + "mimo_step_up = np.zeros(shape=(K,n,m))\n", + "mimo_step_down = np.zeros(shape=(K,n,m))\n", + "mimo_noisy = np.random.rand(K*m*n).reshape((K,n,m))\n", + "\n", + "for k in range(K): \n", + " for i in range(n):\n", + " for j in range(m):\n", + " if k>2*K/(i+3):\n", + " mimo_step_up[k,i,j]= (1+i)*(1+j)\n", + " mimo_step_down[K-k,i,j]= (1+i)*(1+j)" + ] + }, + { + "cell_type": "code", + "execution_count": 119, + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "mimo_step_up_response = np.empty(shape=(K,m))\n", + "mimo_step_up_response[0,:]=0\n", + "\n", + "mimo_step_down_response = np.empty(shape=(K,m))\n", + "mimo_step_down_response[0,:]= 1/(1-alpha)*np.sum(mimo_step_down[0,:,:])\n", + "\n", + "mimo_noisy_response = np.empty(shape=(K,m))\n", + "mimo_noisy_response[0,:]=0\n" + ] + }, + { + "cell_type": "code", + "execution_count": 120, + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "for k in range(K-1):\n", + " mimo_step_up_response[k+1,:] = alpha*mimo_step_up_response[k,:] + np.sum(mimo_step_up[k,:,:], 0)\n", + " mimo_step_down_response[k+1,:] = alpha*mimo_step_down_response[k,:] + np.sum(mimo_step_down[k,:,:],0)\n", + " mimo_noisy_response[k+1,:] = alpha*mimo_noisy_response[k,:] + np.sum(mimo_noisy[k,:,:],0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "___\n", + "## Test Series 1: Filling up the Proposal Support Tank\n", + "\n", + "A set of tests where the participants start supporting proposals, but their support starts at different times\n", + "- Plot series 1: granular input signals (tokens staked) from 3 participants\n", + "- Plot series 2: granular input signals (tokens staked) with outputs (conviction accumulated) from 3 participants\n", + "- Plot 3: aggregate inputs (tokens staked) with outputs (conviction accumulated) for multiple proposals" + ] + }, + { + "cell_type": "code", + "execution_count": 122, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": "Text(0.5, 1.0, 'step_up tokens staked for proposal 1')" + }, + "metadata": {}, + "execution_count": 122 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "pd.DataFrame(mimo_step_up[:,:,0], columns = ['participant 0', 'participant 1', 'participant 2']).plot(kind='area', alpha = .5, cmap = 'cool')\n", + "plt.xlabel('time')\n", + "plt.ylabel('total tokens staked')\n", + "plt.title('step_up tokens staked for proposal 0')\n", + "pd.DataFrame(mimo_step_up[:,:,1], columns = ['participant 0', 'participant 1', 'participant 2']).plot(kind='area', alpha = .5, cmap = 'cool')\n", + "plt.xlabel('time')\n", + "plt.ylabel('total tokens staked')\n", + "plt.title('step_up tokens staked for proposal 1')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In plot series 1 above, we can see the cumulative effect of multiple participants staking tokens on proposals, without the half life decay factor. Participant 2 stakes 3 tokens towards proposal 0 and 6 tokens towards proposal 1 around timestep 80, followed by participant 1 and participant 0 with their own staking amounts for each proposal at later timesteps." + ] + }, + { + "cell_type": "code", + "execution_count": 124, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": "Text(0.5, 1.0, 'Support for Proposal 1')" + }, + "metadata": {}, + "execution_count": 124 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" 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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "fig, ax1 = plt.subplots()\n", + "ax2 = ax1.twinx()\n", + "\n", + "pd.DataFrame(mimo_step_up[:,:,0], columns = ['participant 0', 'participant 1', 'participant 2']).plot(kind='area', alpha = .5, cmap = 'cool', ax=ax1)\n", + "ax1.plot(time, np.sum(mimo_step_up[:,:,0],1), 'k-.', alpha=.5)\n", + "plt.xlabel('time')\n", + "plt.ylabel('stake')\n", + "plt.title('step_up tokens staked for proposal 0')\n", + "ax2.plot(time, mimo_step_up_response[:,0], 'k-')\n", + "ylim= ax1.get_ylim()\n", + "ax2.set_ylim(0, ylim[1]/(1-alpha))\n", + "\n", + "plt.xlabel('time')\n", + "ax1.set_ylabel('total tokens staked')\n", + "ax2.set_ylabel('conviction accumulated')\n", + "plt.title('Support for Proposal 0')\n", + "\n", + "fig, ax1 = plt.subplots()\n", + "ax2 = ax1.twinx()\n", + "\n", + "pd.DataFrame(mimo_step_up[:,:,1], columns = ['participant 0', 'participant 1', 'participant 2']).plot(kind='area', alpha = .5, cmap = 'cool', ax=ax1)\n", + "ax1.plot(time, np.sum(mimo_step_up[:,:,1],1), 'k-.', alpha=.5)\n", + "plt.xlabel('time')\n", + "plt.ylabel('stake')\n", + "plt.title('step_up tokens staked for proposal 1')\n", + "\n", + "ax2.plot(time, mimo_step_up_response[:,1], 'k-')\n", + "ylim= ax1.get_ylim()\n", + "ax2.set_ylim(0, ylim[1]/(1-alpha))\n", + "\n", + "plt.xlabel('time')\n", + "ax1.set_ylabel('total tokens staked')\n", + "ax2.set_ylabel('conviction accumulated')\n", + "plt.title('Support for Proposal 1')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In plot series 2, we add the output of participant staking (i.e. conviction accumulated) to our plots to show the impact of the time delay introduced by the half life decay parameter $alpha$." + ] + }, + { + "cell_type": "code", + "execution_count": 127, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": "Text(0.5, 1.0, 'Conviction and tokens staked for proposals 0 and 1')" + }, + "metadata": {}, + "execution_count": 127 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "fig, ax1 = plt.subplots()\n", + "\n", + "ax2 = ax1.twinx()\n", + "ax1.plot(time, np.sum(mimo_step_up, 1), 'b--')\n", + "ax2.plot(time, mimo_step_up_response, 'g-')\n", + "\n", + "ax1.set_xlabel('time')\n", + "ax1.set_ylabel('Tokens Staked', color='b')\n", + "ax2.set_ylabel('Conviction Accumulated', color='g')\n", + "\n", + "plt.title('Conviction and tokens staked for proposals 0 and 1')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In plot 3, we compare tokens staked and conviction accumulated for both proposals 0 and 1 that were examined above." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "___\n", + "## Test Series 2: Emptying Out the Proposal Support Tank\n", + "\n", + "A set of tests where the participants stop supporting a proposal but their support stops at different times\n", + "- Plot series 4: granular input signals (tokens unstaked) from 3 participants\n", + "- Plot series 5: granular input signals (tokens unstaked) with outputs (conviction decay) from 3 participants\n", + "- Plot 6: aggregate inputs (tokens unstaked) with outputs (conviction decay) for multiple proposals" + ] + }, + { + "cell_type": "code", + "execution_count": 131, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": "Text(0.5, 1.0, 'step_down tokens staked for proposal 1')" + }, + "metadata": {}, + "execution_count": 131 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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+ }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "pd.DataFrame(mimo_step_down[:,:,0], columns = ['participant 0', 'participant 1', 'participant 2']).plot(kind='area', alpha = .5, cmap = 'cool')\n", + "plt.xlabel('time')\n", + "plt.ylabel('total tokens staked')\n", + "plt.title('step_down tokens staked for proposal 0')\n", + "pd.DataFrame(mimo_step_down[:,:,1], columns = ['participant 0', 'participant 1', 'participant 2']).plot(kind='area', alpha = .5, cmap = 'cool')\n", + "plt.xlabel('time')\n", + "plt.ylabel('total tokens staked')\n", + "plt.title('step_down tokens staked for proposal 1')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In plot series 4 above, we can see the cumulative effect of multiple participants unstaking tokens on proposals, without the half life decay factor. Participant 0 unstakes 1 tokens from proposal 0 and 2 tokens from proposal 1 around timestep 70, followed by participant 1 and participant 2 with their own unstaking amounts for each proposal at later timesteps." + ] + }, + { + "cell_type": "code", + "execution_count": 135, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": "Text(0.5, 1.0, 'Support for Proposal 1')" + }, + "metadata": {}, + "execution_count": 135 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" 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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "fig, ax1 = plt.subplots()\n", + "ax2 = ax1.twinx()\n", + "\n", + "pd.DataFrame(mimo_step_down[:,:,0], columns = ['participant 0', 'participant 1', 'participant 2']).plot(kind='area', alpha = .5, cmap = 'cool', ax=ax1)\n", + "ax1.plot(time, np.sum(mimo_step_down[:,:,0],1), 'k-.', alpha=.5)\n", + "plt.xlabel('time')\n", + "plt.ylabel('total tokens staked')\n", + "plt.title('step_up tokens staked for proposal 0')\n", + "ax2.plot(time, mimo_step_down_response[:,0], 'k-')\n", + "ylim= ax1.get_ylim()\n", + "ax2.set_ylim(0, ylim[1]/(1-alpha))\n", + "\n", + "plt.xlabel('time')\n", + "ax1.set_ylabel('total tokens staked')\n", + "ax2.set_ylabel('conviction')\n", + "plt.title('Support for Proposal 0')\n", + "\n", + "fig, ax1 = plt.subplots()\n", + "ax2 = ax1.twinx()\n", + "\n", + "pd.DataFrame(mimo_step_down[:,:,1], columns = ['participant 0', 'participant 1', 'participant 2']).plot(kind='area', alpha = .5, cmap = 'cool', ax=ax1)\n", + "ax1.plot(time, np.sum(mimo_step_down[:,:,1],1), 'k-.', alpha=.5)\n", + "plt.xlabel('time')\n", + "plt.ylabel('total tokens staked')\n", + "plt.title('step_up tokens staked for proposal 1')\n", + "\n", + "ax2.plot(time, mimo_step_down_response[:,1], 'k-')\n", + "ylim= ax1.get_ylim()\n", + "ax2.set_ylim(0, ylim[1]/(1-alpha))\n", + "\n", + "plt.xlabel('time')\n", + "ax1.set_ylabel('total tokens staked')\n", + "ax2.set_ylabel('conviction')\n", + "plt.title('Support for Proposal 1')\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In plot series 5, we add the output of participant unstaking (i.e. conviction decay) to our plots to show the impact of the time delay introduced by the half life decay parameter $alpha$." + ] + }, + { + "cell_type": "code", + "execution_count": 138, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": "Text(0.5, 1.0, 'Conviction and tokens staked for proposals 0 and 1')" + }, + "metadata": {}, + "execution_count": 138 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "fig, ax1 = plt.subplots()\n", + "\n", + "ax2 = ax1.twinx()\n", + "ax1.plot(time, np.sum(mimo_step_down, 1), 'b--')\n", + "ax2.plot(time, mimo_step_down_response, 'g-')\n", + "\n", + "ax1.set_xlabel('time')\n", + "ax1.set_ylabel('Tokens Staked', color='b')\n", + "ax2.set_ylabel('Conviction Accumulated', color='g')\n", + "\n", + "plt.title('Conviction and tokens staked for proposals 0 and 1')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In plot 6, we compare tokens unstaked and conviction decay for both proposals 0 and 1 that were examined above." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "___\n", + "## Test Series 3: Noisy inputs - Constantly Filling and Emptying at the Same Time\n", + "\n", + "A set of tests where the participants start supporting a proposal but their support starts at different times\n", + "- Plot series 7: granular input signals (tokens staked/unstaked) with outputs (conviction accumulated/decayed) with 3 participants\n", + "- Plot series 8: aggregate input signals (tokens staked/unstaked) and outputs (conviction accumulated/decayed)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 141, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": "Text(0.5, 1.0, 'Support for Proposal 1')" + }, + "metadata": {}, + "execution_count": 141 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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K2P9eYBMw4EAdL4XOUZRdBIAR7plotHPJTv763b8S9oQT3z1/3/PM++m8jo1NlMSVioX8RmPS0EncOvhW0kX6wR5KCgcIB3vO/p/YjIQQg4EjgK+T/DxDCLEGqAR+LqXckKRNCvuBMQVjKJflPVaxVG+sJrAlgP9LP44zVJT/wMyBOGodHdraNTsGRq+T0aefQEtL7/WXlQUnnNh7/SXD4VBC4pVXXuGOO+5g06ZNLF26lKlTp/asUwmrPKvo29KX/nTsN4VvFvaYs2cCNwkhLgeWo6Snpt4+5gEnIyFEOvAacIuU0rPHzyuBQVJKX0wP+SYwIkkfPwJ+BCqAMIW9Q52nDgAz2jNd2oxxM5gxckY7udmCBUPvyDhjC8bicDt6XU3X0gLZ2b3XX3Nz7/WVDPESEmeffXaCjO68s+sKSlOnTu05GewFnnzyScaPH5+UjMaPH8/rr7/Otddem/jONEzMqInV2fl0sGj1Ij6p/YTj8o9LkdHhC6sQYnmbz49IKR/Zs9Gec7YQ4kHgjyil/B+BvwM/6O3BHdB0QEIIG+qknpNSvr7n71JKj5TSF/v/XcAmhOiQo15K+YiUcqqUcmqyBJMpdI1VZatAghnpGWME/AHqA/XIYKsktatxF6W+0g4eeccMOoYh9iGHvZru21JCYsyYMYwaNardd03VTdTurEUanUvOeel5jHSN5Nj8Y3vhaqdwkKDH59HYloyIOszZUsoaKaUhpTSBR4HpB2JwB9KbTgCPA5uklP/opE1hrB1CiOmx8TQcqDF9axHjIFPvGRm9tfAtHtjxAKXlpa1fSlqdFdpgTdkaXq1/9bAnI+i9EhLLlixjcNHgRJtDqYREMoQjYXX/op23GVc8ju8XfB+H2VFV+01B5cpKdi/bfUD63vzuZnYsPLQznnc2Zwsh+rVpdj5wQALyDqRkNBO4DDixrUugEOI6IcR1sTZzgPUxm9F9wMXycMtPdDggRiQ9VdMZugEm6P7WZJ4j80bSz96vA+nsqN3BCPuIb4Q3XW+VkKgrr6OmtCbx+VAvIZHhylAxRGYXr56ExS2L2dq4dZ+OcTjgkT8+wmM3P3ZA4vFe/PeLPP2Lp3u/495F0jkb+KsQYp0QYi1wAvCTA3HwA6bzklJ+AXSZN19K+QDwwIEaQwoxxCWjHqrpNDSQEPW2LpU1oWFKswPp9EvrRx9bH+UUepij10pImLS7HodSCYmkx42/pl1Mwm8veZvljcs50n0kIxm5T8c55GEAjbG/vTwz5tnzKDxUE0PG0MWc/e7/4vipEhLfBsQlox6q6YSpou2j/lYy2lyzmZpQTQfJaFrhNDSpYYYOf9GoN0tIWNqkoziUSkgkQygSI9cuyMg0TFXPKIkTyzcG8Xi5vTzF53/6PBvf2TN8sj30iI7VsB4QqeubghQZfRsQewF6SkYaGpgQDbQxInRiM9pZv5P3Wt4jGurC4LAPyMpSHnC9tWVldX/MeAmJiRMn0tjYyPXXX092dnaihMR3vvOdbktI/O1vf+O080+jrLws8X3bEhKTJk3ilFNOaSddxREvIXH00Ue3KyGxfPnyhB1ob0pIJHNgeOONNxg4cCCLFy/mrLPO4rTTTiOiR5SargsNuZRSkZHxDSejJM94d9i6ZCsv3/Vyl21afC2saVnzjVBnHyikXNO+BbBrdoY7hpPryu1Re03G1HTBVoJxWp0Mdw3vsGr8sORDAMxw775lBzomKBk0TeOhhx7q8P2f/vQn/vSnP3X4fuHChe0+z5w5k40bN1K5uRIRFTw578mE0mPatGksWbKkXfvZs2cze/bsxOeRI0fyyCPtHZzy8/MT0tqeaJvYtW3piQsuuIALLrgg6T7nn38+559/frvv/NV+Wnwt3UtGfAskI8leSUambvZMmjLAgUO1S+VwTIoUGX0LYMFCukhXJNMDJGxGbcjIihWHSBJPFHuBe5rd4dsCeRjpYxJ557qQjEzT/MZLRldPvRqb17ZX0ose0rslMCklwhRMT5v+jfA6PVBIkdG3AMFIkKXBpRzrO5ZMMrttL3WlktFDrXYNX8THCu8KzjHOad/4G0JGvVlCwqpZMVGTd9cuPK04mCUkInoEoMu8hXGbUVxC+iZiYMZANSPuxaNsRAyQMDlrcqdtzKiJNCQhPZQioy7wrbYZhT3hdvnXvqkYnzceJHh9PTNqG7p6wdrZgZLYjOITFPTcbfzbAKuwJqTLwwGmaaoxi86ng7jUZJjf3Nn08SWP85ddf9knMhpgj6Vwexx4p32baDAKEpZ5lu0fGX1zLz3wLSeje354D3fPufuwmTT2FXOGz+GOPncwIKtnOQ8nF00GCXlaXuI7l8XFUe6j2pNR1EyQ1OEuGfUWpJRYhZUMS8bBHkqPYZomhml0GWfUzpvuG/q+lDeVE9T3rgilHlZqunp/PQDrl65n13PtPR71oN66kNuP12THrTvwvtRzL8nDDd9qMpIRCTvoMvL8m4AKTwUe3dPjF2FU31Hc0e8Oprpb86ZJKVWBtTZ9xFeFyNj/KQDgi/rQzQNTzPBAIKJHkEiieucvQsKBQRrfWI+wH0/9MT8r/NleEUZWWhbp1nSaw80AvLrhVeZtap/d3mVz0c/db6+dI9oi7Anz9BdPs3b+2n3r4DDAt9tmFA9ODALf0Pyr0pQ8uvZRaIQbm26kD3263afJ04QW1ciKtPpDh6IhlviWcJp+WsLgbURb36yeBtR+4xEjIJ/pI0MeHtKRRbNgYGDVOp8OhhUMI9udzfHZx6v35hvoEZZri3mb7sWjLEzBJcMuwV5nT+wrzPaGQotpYbB7MA007DMZeSo8oEOmo3ub7+GKbzcZxVYq0icRWT20NB9ukDCr/ywWbVuEx+PpERm9vvR1ymvKGS/HM4c5iX7iZafjZNROTdfbktHtQFm3rXqOYqDrJNr7jTfffJPhw4aTa81FSsntd9zOrBMOrRISv/jFL1iwYAF2u51hw4Yxb948NKFhEZYuHRiOGnoUZKJIyABsvTrkQwL/WPIPPBUe7jDu6PE+LY0trG9czxHRIwDIc+TR39L+uvs9ftY1riNiRPaZjLw1XjAgw354LHD2Bd9qNV1cj2s0fnNVTEIKRmWrLM09DXo9YfgJDHcMZ6BlYOK7k4vVhGqEWq9VXE13tONo+qb37cVRo4hocC9uvUlsSRAvIbFxo4rEz9QyufP3d3ZKRKBKSPQ2EYEio8rKyqS/nXLKKaxfv561a9cycuRI7r77bkzTJCIjyn27M5iwKbiJr31ff2MN6Z6QZ6+y2wP4vD6+rP6SFU0rwFQxenu+Zw21DfgiPjDVYm6fxlbjgShkpn1zJaNvNRkNyhnEOMc4rJ5vroBoRA22NG0Bev6SDc0cyqW5l3K0++jExBP3DmvrNWcRFkZnj2akbSQ2eXgvlXurhMStv7qVU84/hZ3lO7nyh4deCYlTTz01kaT16KOPZvfu3cpDTtKlzejJRU/yUtNLLPEt+UaSkam3Svl7E8A9IH8Axe5iakI1RENR6oJ1bGhuXx+0f15/puRMUcfZx+Bwb50XoirV0zcV32oyumr6VczNnAu9WFH0UEM0HGVRxSKg55JRWW0ZdXqdWinHQo0+LFWZFtpKRumudM4uOps6vY7mpuZeHffBQG+UkPjL3X/ho9c/Iq9/qyfioVpC4oknnuCMM85I2Lm6CnqdOGAi52aey48LfozUJTXrazptezjCiLZ6Ce6VZ6ihFmqGbrQ69OzxmlmllTxrnlJnB/eNyT31HlzShc1+eC/6usK3moyqmqr4a81f2b55+8EeygFDuxVfDyWj19e8zr/r/80D1Q+0ehomK0NhgCfs4b3Ae9Q0HP6TU2+UkGg7ocf/398SErf+8lYmTui8hIRpmHtdQuKuu+7CarVyySWXtBl85+2nDJzCFPcUBIJ1n6zjwWseZMv8LT0+3qGOtvbPvVHTVVZWUuoppVFvVPslIaPamloW16qUTvsaAuFt9JKhfXOlIviWOzB8sf0LAkaA9ED6wR7KAUNbaain0fPx/GNRM6rISMK5Q89l/o757RwVqquqeWbbM1yQdgHDc4b36rgPBnqthEQcbSSO/SkhUVFWwfuvvk//Uf07lJAItARormoGg6SZwJPhqaee4u233+a///0vQgj6pPWhLlDXpWQUCAbYHNhMLbX08/UDH7hKuy/cd7gg8VzvZcxcU1MTSAgawVapZ4/XrLKqEl/Ex2T7ZCzGvrkheho9PcqecjjjWy0ZhSNhZrhn0Dfay8b3QwgJyYi9LK5HezJK2IzarBqdNifjssdRYCnAoh/+vr69WUICWiWj/Skh0dzcTH5OPpgkLSERCqoUM20n0K5KSLz//vsJ+5bb7Y4NlPZ/k+DpxU8z3zOflf6ViKgAE9JEF0R8mKHte7I3nqFGVMVdCSk6VdPpYR1MOMl1EvZ9jCHxNHgOq0DqfcG3WjK6dNKlmOtMovVRbN9EX1XaS0M9tRnFk2HGycjQDd7c/qb6rc2Lmp2ezUmFJ/HVhq8wG0z60S9Zd/uGYqC097qjuPsm8RIS1157LSNGjOD666/H7XYnSkgMHjy42xIS11x9Dff/634e/MuDie/blpAIBoO4XC4+/vjjDvvHS0iUlZW1lpD43iU88+QznDn3TKYePTV5CYk9SCReQsLlcrF48eJ2dqObbrqJcDjMKaecAignhj/9XGUk77KERCw7gyENWppawASvx0seeZ3uczihbQD33qjp4rYmgVA1vSQcl3lcu7yE0VAUTAjIAO6Qu12tqx7BhCuHXIml+fBf8HWFbzUZIeFv9X9jwuYJnMmZB3s0BwTSkK3qIr1nbqWGboBQE48ZUkkeE/1F2vyvS4J6kM+Dn5PbmNu7ZHSAY4KSoVdKSKzdSHBXkCZvE48/8Di2XLXI2dcSEn3y+/DOi+/gFE6yR2W3+239+vU0VjUC8JPrf4KrUJFOVyUkSkpKOnxXvaVa/dOTEhKmoVRTJjQ0NTCYwZ3vdBghEcC9l2o6PaIybQgpEvv1tfRtR0bxNg96HuSmppvIJ3/vBueDfC0fnHu32+GGb7Wa7sXVLxI0gwS9+1au+XBAfBK5IP0CphRO6ba9NCWGbmATahKNeqKJvGSnuE+hT0Zr0GzJzhLu23CfIq7ovhlmv2kwDAO/7gfoMtdbT2GaZiJ3XDJYNAtI5Wa/r+jjVve0yxISbSTsdEs6GDAhb8I+H/N/hXXvreNP5/xJ5YfrAm3VdHujJWmrpos7QWwLbGvn/h4NK8nonIxzSLPsvWqzubyZJeVL8PLNzUsH33LJaHfzbtAg4A8c7KEcMMRVcxpawk27K0hDIk2J0+okGokS9UaxmerlFIh2efwSHkji8M/a3VslJAzDIGKqkgx7k5uusxIScftd2EieXT6eadsq9uNV7oHNKBEQKyDij6BJDbtx6OfQ+mDBB+glOoGVATJndu4AkJ2ezU1jbyK9OR2nveciSEIyIiYZSVjjW8P55vnt2tiwcaTryH1a/lftrOL9ne8zuGAwGXxz7UbfasnINE0QEAztXabewwlxqWZ+YD4ldR1VNHsibhNyWtQLqfv1xAr/Q9+H1DfWt7ZtG5vRC5JRVyvzwwU2q41cu8px1huSUVziiUuqe8Jld5Fjy9n3pKwSGkONOIQDh+bo9B60PRevx4tpmJTXle/jQf93MHVTxQLpXU91VmEl35GPE+felZCIvQOXZl+KU3MyJH0Il+Zd2m4+iYajmKZJhV5BOLD3JWtG54/ml4N/SZ/s7lN5Hc74VpNR/AULRAMqWeo3ENnp2Vw45EJ0qdMS7D66N54S32lVZBT1R9V1is1F4WDry5Qgo15Q0zmdThoaGg57QhKIhLTSG2SkCQ27Zu/U6C2lpCnaRCgSSvp7d5BIokYUu7BjERYaGhpwOjtKBgk1nVRZIZBQ0VSxT8f8X2JQ/iCV8qsbO5CnxcOLJS9yR+MdVFT3/LwM3UBIwQDLAHLTcrli+BUMtw9vR0Z6RMcwDB5tfpTK2uRpmrqCCAjcUTeWtEPXgUEI8d2utp708a1W08VVD0EjqMjom+OpmoDD5mBs9ljG5o2lJ45PNs3G3GFzoQQKjULsuj2h6jvTfSYDMltrIiWK6/WCmm7gwIHs3r2burq6/ernQEJKSUtdC+40N/a05CoqI2wQaY7giDpoibZA8/4d04yYGM0GVtNKjdYxsFj36YQ8IRp9jVh8ez9ZSVPSUtOC1bDi9rhxD3AzcODADu3a5q07qu9R7DJ3HRY1rEYVjmKTsanb57OpsYnNzZvJ0XJwanvhKWCoa7g6sJrJ0clsbtpMi7eFo8yjEk3iNiNE+wwmPcWm7ZuorqvmhAEn7PW+/0PES0AXAMcAn8Q+nwAsBF7vroMUGQmljzeaDSz5h+7KY18R8AcoayqjSBaRZnTPtlZhZVz2OMiEcdFxYFHlEKCjzShuvE38vx+w2WwMGTIEULVbPr3vU0766UnY3IeOy32oJcQ9V91DbmYuP/7ox0nbbPtoG6/+7FWubrmagT8dCP+3f8fc8NYGXv/N69zguoGCpQUdypi/+4d3WffUOm69/Fa4Y+/7D3vC3H3V3bAdTpx9IuNeG5e0nTQlVs2KbuoU2gqVtHEYOK0YEaNHklFR3yJ+PeHXWJusWJw9nwdOnHAiZqbJgqoFZJRm8OKOF6GZdmR05sQzGffhOF6qfWmfCHzH7h1sbNnICdqhS0ZSyqsAhBBvA2OllFWxz/2Af/ekj281GUkpcVgchPUwweog6cO/eZkY6urqeHHHi2hNGudVn8fgssE0ljYyZNaQpO0jwQjlzeX0lX1xSzcESKjp3vG/Q9+avhTHgnbixnVEm/97AYteWcSS15eQ685l+k+n91q/+4u4w8ZROUd13ibmlfVu8F3OqDmDIor265jxGJWFzQu50Liwwxs7a8wsBucMxu/3k7YPon3cRjjGMYZJWZM6bTej/wz6VPdhpGUk5d5yMEGP9izjw8HEgiULwOxectfQcOBACokMt5ZJ6RYGzEyfybTcaUQckVbbXZvDuTU3uZZc9Z7sAxlFw1FlMzw81sqD40QUQw0wsic7fqttRqZhkmZVL3Cg+pvpUdcvvx/XjboOE5OGQAMP3fEQT/3kKdjzdA3AAy1NLTyz9Rm+9n7NnTV3smXHFqwWK/3TVI0Wn9fXuotuJNQPPQ2o7QmCTUptqtUfWo9nnGgskc5nhbjqstKopNnTvN/HjJORV/cm9Ya0YePl2pdZU7Fmn/qPn9NQ21CyrFmdtjt2wLGMco1CCMFH2z46bKr7zh41G0xw4OiyXW1tLU+XPM0fWv7AlvKe59xbtmkZi5oWkWXNok9aH47MPpJ0Lb0dGa0qWcXG4Mb9IyNsh8tsvVAI8YEQ4kohxBXAO8CnPdnx8Di9AwTTNCl0FnJM2jE4gg789X7uOu0uyj/7H3kJ1QLdO7jtF+xWO4WOQizCgmmYaFKDZpDVexjX14K8U5JlZPGDET9gYuZETsg4gXwtH5fDxfmDlatqu1x3sYnsloJbOKFP76kQol6V+UHzHVqPZzxK/8vdX3baJn5Nbsy+kQnZ+x+HEyejS3MuTerlta18234RQ/ycNkU3Uenp3LjuC/so18tZ0LyA2bmz1TF7URo+UJg9bDZ39L2DLGfnRAvQ0NDADu8ORRh7cS2bPE0s9y3ns8BnRP1RdFPvUJp9+fblrA+psIF9uU/RSIyMDgPJSEp5E/AQMAmYDDwipby5J/t+a9V00pTku/IZHBnMdHM6RKGmuoZofRTvB144/sCPIfBJAPGRwPUfF90s3PYZzS3NbKvbhoGBaZiM6DuCUq0U0dxeDbF69WrmvzOfW6bdQnFaMfjh+Mzj1QvQJqiy7cqub1ZfpmZOJYMMLGbvvSmG34Ao5Bt7Gal+gBH3HrQZnduxDF210TStnX1tXxEnI6u0JpWM1pWu2z8yitl9dkR3sK5+Hf3pWB0W4F9L/0VBSwGesIdpYhpu4T4sbEYNjQ3Yo3Yyol3H58TvG3RU6X3++OfsWruLS++9tMN+p44/lfT0dD5s+BD3VjdrmtaoRUObLq6eejXN25q5t/zevUo1FMdhJhkBrAS8UsqPhRBuIUSGlLLbiN3D5/R6GUIKbpp4E9OyphGSIfSAnjB2dqWG6U289vlr/PvLf4P/wB2jtq6Wd3a/AygVkh7VEYbAbGz/UmzfvR3TMKmvrGdN/Rq8pheP9BDyhmhsbOS+dfd1KCExrHAYZ+efzeLgYjY0ti8otj8IeUIM1AYmbFO9Cc9uD6//8nUivshe7xuf8Gdlzuq0TVxN95L3JdZX7H8QbdwT66WGl5JKRvFJdF/tN+0S6XaR1f2MQWdwZu6Z/Lzg51T7qgmYgcPCZnT/x/fz99q/U1pV2mW7dmEKe6jS/vvBfyn5oAQ8yXZU1V0htnCI5bdrS0YiIrBblfdlTxYNG+dvJNTc6qqfsBn10Ix1MCGEuAZ4FXg49tUA4M2e7PutJaP4Q9NgNHBP7T1sLt+M16PIe3PF5v/JEBpbGlU54gO4wGyXKNU02Va5jaZIE7t37G7Xzh/wq9iRigre2PUGtdFa/lHzD5aXLsdpd3JE3hEd4olM3USakpXBlWxv6b2aUN4mL2lGGtGWXhAt9sDnb33O2g/WsuaRvbexxCesLm1Gscm91qilzrv/bupxyag8Ut4lGe2rlCJMQZ5D+fx3RUZHFhzJQJdy+X6v4r3WYx/q0AEJmdauyy+0C1PY0/5pxPpJsn75YNUHfNTykcpMEUzuwPDRho/YFNqkuuqGjJormnn5npd57dbXEt9Fw1FslsODjIAbgZnEqFtKuQ3l7t0tDhgZCSGKhBCfCiE2CSE2CCE6OLkKhfuEECVCiLVCiO6Tp/USouEoT2x4gp3hnZyWeRqFzkL10Elw4/6fjGFk/kic0nlAsz8kVr5CvXDZrmwwITPa/uWcNWEWmBD0qGwUDrvSG0ZDUdwuNycPOFn110Yy+u/y/3LXjrv48cAfc27Bub025iuHX0lJqIQF2xb0Wp9xpDvSIQrNm5o7/Lbry11dBqrG7SuvVr3aacaDxITehe1hb1Rq0bBabRvSAB1e+ekrvHTDS9RvUZkw4ulo9pUY8rLyuHnszWRYMjrtQ5qSSk8lpZFSnm96nnA0zJGuIzk7/+x9Oub/EmkijanOqeQ6crts1yGbyBZgRexHkw6qtzgqGyoTeQPjC4c9JaMV5SuoNqo5J+cchrhjXqxR4D06BNubERMiUFfSupBJkNEBRmdzthAiVwjxkRBiW+xvThfdhKWUCdoWQljpYX6QAykZ6cDPpJRjgKOBG4UQY/docwYwIrb9CHiQ/xVidhCX1cWMjBnkW/NVfi8JozOSpOk/AKhvqiekhw4sGRmtahhpStKsaRTZisgOZrdr57A6VJEwT1BdG6sFm9VGNBTF1E01TtqvGof1HaaM2Ro9ynvXI0QhLZTGmVlnMs6aPOZlf5BmTwMTWna1z0ax5cstzPv5PJY9uqzTfXMzcxEItVjp5HzbrrD1SMdG1Vuq+ePJf2Tre1t7NN5oRE1wOjoYULKqhE1vbuLRuY8Sqg61Skb7KqWYatPQOpWMTN3kkXWPsMSzhK3hrWBCljXrsMhNFw6HMaSBHuj6AW2rpjOjJl88/wWf/OITJQ3pKDLqTDKNIb5wgPYZ8vWojsPq4Mj0I+lrV7XTWta28PhfHqfk3+09mKSuwijajjcajmLT/ifxdp3N2b8C/iulHAH8N/a5M3wmhLgNcAkhTgFeAXq0quyUjIQQU7rauutYSlklpVwZ+98LbELpD9viPOBpqbAEyI4FSR0wVK2uon5LPTaLjStGX8HYjLHU6/UE/IFEEGdn1RhDzSEqV+59Oo/OsL1qu3p4D7Saro1kZOgqq3Sgpr1v9/od60FCoCWgroHFgk1TZFRXX8f9G+7vsNof2ncox2Ydy0LPQhY3LO6V8fqqfCzcsZDBjsGM0kbte861TnDEsCPIsmQRrtsjR1gICIK7onOp2GV3MS5rnHIT7kSDOHXkVG4bdhtuizspQVSWVIIXNr2xqUfjnTlsJoNtgzExkRFJNBJV468O4//anyC8fVXTVVdVM2/rPFrMlnZZFtoiTlKJ1bkBa0NrWdm0cp+O+b+CNCV6RGdVcBVbKrp21277nhgRg8aWRurr6yEIM4tnKgeSJJen7YIjTkY/zv5x4p2WpkSP6lgtViqjlbT41CLI2mDF5rMhKtrr3uKah2iw9QH78RE/5vSC0/fhCuwdupizzwOeijV7CvhOF938CqgD1gHXAu9KKX/Tk+N3JRn9Pbb9G/gaeAR4NPb/fT3pPA4hxGDgiNi+bTEAaOtHvZuOhIUQ4kdCiOVCiOU9La3cGR7+7cM8cM0DCZtRhAgP1D7Amt1rEnnZvir/Kum+nz32GY9c9wj4kv7cERKo6uJ3ncTK9EAh/pKlW9Jxak7GF46nUW9kydb2tXU8fo8iI18AJFitViUZRaLtVFcO0er2FwgE8Ea9bAttY7uve5tR3MbUFZoqmlhYvpAqs4rGYGOveKS1hQULAx0DaWxs33dcKs7UOrct+Dw+tnu244l6Oh2XhoYdO1aLNalk1C+vn7ofkZ4FWBemFTLcpkq6RzwRTMMkz5nHIOcgRFgkVvT7/F7EMk5D5zajeE0sq2ZVdgsT6o16Nno37tsx/0fQQ3riPe8u6DURM4d6TrPsWdT4ayACQ9KHMCNtRtL3tO0iIBpRZJStZSMM0W4MNouNJ+qfYGnVUgC+/PxL8sJ5DJPD2vXXJ6cP+Y58hllbv7fpNmzWXpGMrPF5NLb9qLOGe8zZfeOBrLG/XdmAbpZSPiqlnCulnCOlfDSZiSYZOiUjKeUJUsoTgF3AFCnlVCnlkbEB9jg6RgiRDrwG3CKl3NMfJZlJrsNsJaV8JHb8qVbrfnqj60A9+L1+7l1zL5v8mxKG+bh9pVPdeUji8DigumeHalrTxGf/9xnNXzZ3PhYJZvjAsVH8nK7pcw2n5Z3GtP7TcGtupY5rg3gJgoA/kFDTWTQLRtRIZGC4OPNipuZOTezz4YoPeazyMTSL1umqui3uPOtO3vnjO122Kcoo4nejfsdWuZUna59UEksvoqS0hA2eDTQGGzFqWu9zKBhSSUD9na80KqsqCUaDRIxIp2S0vXw7H9R+gKZpSZ+jPpl9wAR7oGcqrp0VO6kKV4FQ6YgwYXjacK7KvYpcay56VMciLByRdkSP+tsThbmFXDn0SgqsBYkKv3sirppNSEYmfDf7uyo79SGc1zYaaFWbdWeni5PKZNdk+tr7ood0miJNyJDk002fKo+5JHxv6EZChRaXjD4Pfa5IiJiEEyPyiwou4ohMdZ9KtpbQ4m2Bpj07BKfmJBxSkrsZNXl/2/vsDO3cx6vQDnp8Ho1tjyRr1M2c3R2uSPLdlT3ZsSc2o9FSynXxD1LK9ahgpm4hhLChTuo5KWWyRHm7oV2+lIFA7+nBkiEmiRhRg6ZQE7qIqTkiRqveuJNFZjAQJKJHkOGujdyb392MNCXNpc18uuFTmlc2J28cJ6N9iD3oKeJZsDVNAwNCgRBWrAR97cnIIlSRtmCw1WakCUUy0pQEo+CztH8hDd3AQoy0DKPLiUmaElpg+bvLux6wByxBC2lpaYSMUK+TUUVNBZhwputMzJ2t193T4lFea/WdBzwX9y1mSNoQ9Qx1QkbV9dWsbFmJ1WpNKq3EJyxfS8/E6w/XfMiGkHKbDzUpwrTZYqQQVPaIye7JDLMP66KXLhCzhWha5wuK+ILGqsUWgrJNSYtD2KEuQUay+wwhx447ll8N+hXnZZ/HiPQRfL7lc6XW9hkUOApwSAcy2vEB16M6dotaWETCypvu08CnCalYD7ZKRiPcI8i35mNEDOor6tka2MqCLe3NKfV19diFneOdx4OpyGx17Wpqoh2T5B4IdDJn18TNJ7G/tUn2+54QYgEwRAgxv832KdDQk2P3RMzYJIR4DHgWdWsvRekSuzspATwObJJS/qOTZvOBm4QQLwJHAS175DXqdeQ4cyhKL0qoiyzCghACQzcYPkClfncJV9J912xXAW0hXwgXydssenYRnz34GZdFL6OhvAHCyVdlZtRMeN4cyMJ0cTXde973KLAVsPbLtXhMD6FAKGm7fPIpM8uwWNR1kabENEyiBjzf9Dyy6iymMS2xj4aGRbMQkZGEzj0ZhBS4rW7GpXftlLB69WpqK2pxup1EjAimz0Qr6D0/m+PHH8/xQ45XS542vOOyuUDC2Jw9fWxa4bQ6KXYVs1Pu7DR/2cxxM5k5ZCYP7XwoqWRUsqMETKhu6pl4PWfsHFYtXcUX/i8QYcGxhcdir7fzQNUDnFF6BldPuBrfbh8NwQbyepKWfc/x7Czh3c3vckL6CfTN6pu0TfxdSbgXS1gdXE1lUyUnGScdsqHz0WC0NZFvN5JRfFElNalIJ+ZZG2mOkG/N50PPh0wNTMVOe4nWiBqMcI3ghOwTqCyopH9mf052noywqGcjHntk1axsD27H5XFh2WpR2hBBh5RRAV+AhlADWlSDMDg0B7864ldq2X6A0cWcPR8l8dwT+/tWkt2/Qhkl8lHmnTi8wNqeHL8nb/lVwAZU/uFbgI2x77rDTOAy4EQhxOrYdqYQ4johxHWxNu8CO1Bqv0eBG3oy6P1BPCVOogKqUJOpETFIs6eRbklP6Hv3RK4rFwywmp2/fdIrwQMDygfw1YqvIJI8H1XEH0mQ0b6kle8pxg0ex3XF16FpGlE9ynEDj0taUNA0TLIsWYyyj0oqGSFjgk+boRq6gUVY0Cyacj3u6jQMpQrUw13bNkq2l7DZsxmnW6XxD9YEWfPymt7Lg6YrG0gddTSuaUx8LXUJJqTTuS2nvr6etU1rlY3G28l5xCaxDHsGDtkxrcaggkFKTRftmZouz5rHQMdA+lj74Ig6OLnfyQxJH0KhrRBHxEGOJYf/+v7L/Nr5+6QyCwVDNIYaKXQUUmBNbgqIvysJyQiVe29TYNMhLRm5rW5mF84Gul/wbS7dzCeNn3BP3T18WPZhKxk1RRiaNpQz0s9AMztOl4Zh4LQ4ybJkMSZzDKdkn4IQInFd9JAOpiLyBY0LWFq3lJrNNRBWC+NAKNDuGhb3Lea8/udRFiiDMEoCN/hfxRglnbNRJHSKEGIbcErscztIKXdJKRdKKWdIKT9rs62UUvbIoNntmkZKGRJCPITyiuhxBkEp5Rd0cwml0iHd2NM+ewMtgRZWt6zmuOhxKm1LnIx0g9q6WnxRH9Foch1MrisXl9WFTXZuTAw1h3AaTpy7nJw6+FRejr6c1CYUVyGkiTQs8sBlfHDb3bgdbuYUzAE70Ad2uHZQoVcoFVjMecw0lZQzwT6BopwibDYbR+UchcNwJMjou5mXMS2nVR3UTk1nts/HtScioQiesIdNLZs4j/M6bedt8pIhMhJktOKDFXzy3icEdgaYceuM/b4eK7asoLa5lnW+dYxdPpazUbEycRVLnbeOHJKHUZRVlNEUVkr+qDeWomUPrNm2hp21O7lkwCVJCzZmujIpchb1OGHmih0r6GPtw419bsTAIBgJku5IZ07uHKRV8sWuLxjhGMHAzIFdSqadIS4R79J30eJrYTjDO7aJqelsmpKMJromEpERaiI1hzYZ2dzMyJ/BQrGwW2/D8ppy1nrWMjNjJv3d/VnctBgkeKo9PLX+KU6Xp2NNMl1mWbIwNZNFvkWMbhmNL+Bjo28jJ/lPwoUr4cBgFVYsQqmza0pqsEQsFOUWsatxl3pO4msgA0o8JSxrWcYxoWNo9jbzUclHHGM7hgEdfbt6Fd3M2Sf1pA8hxNHA/cAY1IxjAfxSyq6jjumBZCSEOBdYDbwf+zxZCDG/JwM7JBELSIvrf4UQ6iHRDbbu2goSonpyMvJ6vTRGGpUeuBN4G72EwiFWrV5FfigfjORut3HD5qnuUzuI/r2JqtoqljUuwxCKLOpa6jAxWwsKxmAaJk3RJubXz6fYXoywCKZkTWGcexzSlGrRLQSyTRS6aZpYsCh7gzS7nJjiAaOhcNdGoJAvhEu4cLoUGTWWNoIPxlX2TsxRWXUZW/xbmFs8l6lGqzNG3Jazq3FX5+cQi+npa+nbqS2rqqFKOcVYSBoo2djQSJ41jym2KT3yonx/y/tsjqiMILsrd/OX1X+hNFwKGsiA5OPSjzGEwSDHoH2K9YrbSb8KfsWi5kVJpau4LclmsZGupTPAOhDpdKF3Jw0fZIS8IeoDKji4O8nolEmn8LPinzErexbDXcMT985X78MwDOqj9R01GBKun3A9EzMm8onvE57Z8AxPVz/N8tDyRHnxAfkDuH3S7QzPGJ5Y9NaV15Ev8snIyMAf9SN9rRd9566dVAWquDHrRvCDv8XPhoYNBMzDpqrAA8D3gG2AC7gaRU7doidqut8D04nVrJRSrgYG7/0YDw2cOvhULul7SWK1pwkNi0V5jU0dPhUr1k7VdDVNNQSNIE1Ne7rAtMLT6AEdVpauZOWWlaqWShIHhbiaLmJGDqgDQ0l5Ce/UvsObTW/yVu1bPLLiETaENhAyQpjeNqmCYivkXJHLOu+6RFE9X9SnnCAkvOZ5mo8qP07sY+gGmoxdP7qemFx2FwPSBjDc2XHl3RZ6RMdmseF0KDKqLKvEFrGRUdF1osueQo/qWLEyJGcIhdHCxOQ7fdR0pT7rYmFg6srOd2XGlarWU7I2holFWFjUvIh3m97tcE02bt/I6ubVjLKO6tY5Q5oqrqjWrOXx+seJ+qKc3v90sp3Z3F11N4u3LeY3U3/DMNswSoOl7Y4VaAjw2A8fo3lXc5fHiJPRBfkXMCd3TlKCdDvcnFl0NmnZg7i0z2XoaNRqkmBU771g5wOAnTt38ujmRzuksUqK2M9+/Ep1FlOh+5v8YMLXga/blU8BEjGCA5wDuL3wds7rfx7FjmKgjcOEDpqpoVli74lh4G/xkyEzcKe70aVOtK518evxeNjp3am0EZ5Wm9P/KOi1VyClLAEsUkpDSjkPVe21W/SEjHQpZUv3zQ4PHNPvGIY7hreTjKyaFUM3cFqdytulExfXuPdbVyoWT4OHCY4JnOs8lyWlS5TnXhJ7R6Yzk0Fpg3jH+06X5La/OHrM0fx80M/xmjGpLqpj1+xIKdsFfrpsLoY5hmGRFt6ufRsEvFz1Mq/VvkZWWhbTco4DwBtuTb5rRJXNyKpZEVJ0vdI3lAdWNNJ14FA8QDBORrV1tURDUd7f9H6vxGPF7VzVRjXb/NuUXp6Yd1g3ziRxyciiWRL7dWhjGGhohGSIgBHoMFnHJ//6YH23ZBRX8TisDmzCRgYZHJ19NDnuHCJEiAQi2ISNJcElzG+a346M1i5ay+5Vu1n8r+TByEbEIOwJJxYh2Y5slb8tyaPtsDkYlzWVJi2fLZ6dvNv8NoYBUaMHktFaWl2fehn1W+rZ/knn8W0Dcgcwt/9cprqmUuQu6rQdwNItS3m//n0erX2UBbsXJLzwfI2+xP97vsfRYJR5G+axMbgRTWgMdw1nulsVg4yTUWVFJW/vehuv9CYko5A/hNPixO1yq9i+qlapR48qG9N7vvfwVnsTThi9FGf0v0BACGEHVgsh/iqE+An0rOpjT8hovRDi+4BFCDFCCHE/ynPisMTjqx7nH+X/aOfAMCt3FhPSJrBj9w5qwjUMtA1MvnOcjDoxppu6ia/ZR449hxajJaEGS7Yqc1vdnDvgXM5ynUWabe8rdPYUNs1GuiUdTdPQpY40JcPcwzg181Q0T+vtP+eIc7go5yKmuKZwXcF1oMGx+ccyM30mOZk5HJt3EtnWvHbnYugGusXCCUXncXPfm7ucmJqbmin1lCrDbBftouEoVs2K0+lU2uuo2iq8Fcim/Z/R9KiOVVpZ5l3GWw1vJQhhe5nKhtHVCjpOJPc138fu3cndm+IOMqf2PVVJGnuQkR5Rk82jdY8iA12fT9yuWOwq5vLcy8mUmdT6azGtJjaLDa/Py3s736MqUtXBgcRm2kAHWyj5JPbyXS9z97l3q4WVhJJwCSt9K5MSfjQcpdJXSTAaYntgB7PST8Rhd3fvtAIYOw3ky1LF5HeCsuVl3H/J/XudSf2B3z/AM794ptOFQaYjk3Fp4zg762yGuod22VdZTRnbAtuwaBbCkXCCPK0Ba6eBs2bUREiBDx/veN5hU+MmVQRRtLZtqm1iY9NGTLuZkIwKbYUUugtxO5V03TYbSlydvTW6FW9dGzKyHTZkdBlKSX0Tqh5BEXBBT3bsCRndDIxD3fLnUdlYexRReyiivKUcb9SLXbMzJH0IaZY0jsg+guH24Wwt24odO8dlHJd038vGXtalZOSr9iF1ie7UebbxWUVGIvlqO9ASIBwOM9k+Gafm5IP7P+APZ/2h11eQ23dvZ2HDQuVNZ6rJbYB7gCooGGjj7WXCRy0fMa9pHjlaDggYmTGS4c7h6BFd6bZpH6U/deBUinMmUVYNZie5u+KIZzSek9Nxgm4LPapj1aykudI4KeskCMPx2cdzdd7ViJ3771KkR3WsQklebeOYyqrKlEq1i3iUuGQ0zDYMh568AJWpm2hCS9SB2vOa6FEl7VyYcSGypWdkZLMqx4FN5Zv4z9b/4MOHzWLDE/Dwdc3XNJvNyoGkzbGG9R0GBuTb2tSEik2qALt27YIKVCkRCesD61nsWZyUjBqbGpm37REqgjsIEcIqbAiLFUMa7XKwJcMfn/8jf1j/h04JA+CD1z+gYU0DNR/tZSyNiZqNOqmU01jfyPaW7QQIKAeVLhB3xtE0jXA0DCac6z6XfvTrNATDYXFw5agrGZ42nGWBZby06yU+aP5ADS3WdlzhOH5Z/EuysrKUbdo0mDtoLsfmH6skIyBQ24aM2iRsDTWFEslXbfbDg4xiXnVBKaVHSvkHKeVPY2q7btETMvqelPI3Usppse03wB/2b8gHCbJ1y8vI44rhV1DkLqLZaKY52IyhG8pjJiYB7QmLbumSjLxVXjAgMyPmOKKrKqiTcid1aLt9x3Ye2foIm6ObiQQiLF68GFkik4ST7R92Vu1kUfMXmEIjaqjJTVgEDdEGQnWteqKP137MMv8yAjLAcu9y0KAuUkdNpIadZTt5eOffaDYa2qkwpxROYUTGeLY0r2NB44Iu1WhxicNiWLomI12p6aw2K6PSRkEU8rLz1P3Ysb9XI6ZaxILT7kQ3dfRmNZgTJ5yIUzi7TDhqRJUK7vys8+lj7ZO0Tdwr8YumL3iy7smkajqXcDHaORrN2/XrF3cL9kgP99bdy8aqjYlVss1qSwQo2zV7Iqt3HFbdCgaJTAAAvnd9+O5RaqdxReNIF+mqkGGM8AySe0RmpWUxZ9D36Osq4ij3TAwMNIsVKWWXAeAA/TLUZN5llhEdiIIlvJdepfFUWp3csg3bNvBM2TP8s/Gf/Hf3f7vuymyNmTMMg3xHPm7NTdTTRaxSzP3bosXG3YbsE8Tlj52fQ+V7NExDLYAskJmWySjnKJXVJd5lvMifgHBT+LAhIyHEuljlhaRbT/roCRnNEUJc0uag/waSv4mHOkw4Iv8IMi2ZiQcJAa/VvMb82vkYUZVE9Kmapzq8lNKUPLnqyS7jggakD+C2Ubcxpd8UtTI2lS7ebnY0ig/qM4hpWdN4zf8atY21TB48WcXAhHpXNDINk7DQaDA0IqZ6sD14uL/hfrZt2ZZoF4m21mL5wvsFaPBB7QfMb5xPn8w+nJB/JumWLOU1F4PH5yEogzQbTZRHula/xVd87za923nGa12puOI50Er0EpCQlZPFvOZ5rFy4cr+vhx5RklfcJpUgZEMFPnZqL6R19YxGOw+odudgKA9Dn+FTaXz2lIwiOlEjSkm0hGBdEt/vNmibSqbJaFKpikyw2q3YLDZCEZWRwWFxoJt6u2Ot27QODAj7W0WSdz9+l6eefwqaY+ciLWTKTAY5BmGz2Dr1iHTanQzPGIXTnsGWyBaW+b9G06xYhLXbbNjjCscpj9JA59f1uLHHgQEiupeSb1zy7KTraDiKkILTck5jTPqYLrtKSEYWjXSZzg1jbuCdwDssLFuY6H9PyaipoYn7197P9vD2RDBwgoxiEvaiZYt4t/pdsCvSao40c+/Ke9kU2ERWehbfy/8eRWarPSuerBkNQo1tJCPHoU1GwNnAOV1s3aInZPRd4MpYuoengaiU8of7Nt6DC1M3qfRX4ol6qKiq4L6N91EeKOeEghOYlT4rMWEOtw9vfcD9QJUioAxrRtdBqh6wh+zYM+3Kw17CZ6HPkroLZ9ozGeMak/D0yUvLU84OXby0+3TOholAwwhrhHVFOLmuXL6b812K2mRiOnP8mZyRcQaAWmULlSJGIslOy2ZS5nTSrJmJ2i0AT3z9BJ/Wv8/knFlcn3Njl2QU917sMsmoqfHbqb9lVv4sAD70quDDwn6F1FFHxeaK/b4eRtTAYlGSEUCoQZHRii0r8Ov+rm1GukHUiPLH+j+yavuqpG1Mw2z10NxDWgEl+emmzrMtz1Jb0bUYHCcjl01l+wiFQolVss1iIxgOJsgoqc3IaO/JOSp/FGPtY8GA9bvW0xJpochWxOX9ryJqibnnJxFggoEgJS1bCUb9rAmvxGt4mZB/DD/L+223YQkBn/JM6yocwqJbFGHtZfD3sD7DGGgd2OlzFwlGsGNnauZUBjsGd9mXYSjHFotmSdj9RjlGkWlkqmuSRN0eCUZoCDZgxi9afH3SpkDfropdVAYrwQaz+szirPSzKHIUKTuxFbW1xl63k4xCzaFEpd/9zsl5gBFTz3W69aSPrkpI5Aohcmn1Ff8lSkN7Z+z7ww7RcFRl4pVgF3YGugfitDoZmjGUwfbBGFGDfEs+M9NmJh7w4KdBan5bgzVo5bIRlwGdq+nWr1nPJxWfQBr88IQfcu2Ua/nU+ymljaUd2tbV1VHiKUk85LtqdqnIfn/v+sqaholUzJKwGTltTiamTyQ7lN3a0FDXBGK1czSVzdmUJqFQiLpQNYYw29mMThlyCuOypyAFiC7UJdCqprsy68rO1XSxaHOhqRXy94u+z2WZl+HIcpCfmU99Vf0+X4c4NFPDoTlaJaMYGZVWlyp1UhfVTmeOnsnlBZdjYCh7ThJYhAWHcKis3aaO3CJVquEY2tkEGrp2p4sbr51W5cwRDAexCivCJrBZbYSiMclIcyRKTMRxZPGRigTaZLyoqqtiSeMSMEgUWbSH7XgkVOsWom0yV7dFbV0tL5c+T2OkBilioXpa7DS68Tn4astX3WYZWbNtjRpraO+efUM3VGmHThY38XLdDbKBlmDXDsFxqdxisVAeKueJzU8w1T2Vo11Hk6GpsII91XRxZ4N4bjrM1oTD8efd3+InTSji6Z/Wn7GusXy3/3cpzigGAQ81PMS7G95t7TPmoYqAsDcMukpPZnEcuMD43oQQwiuE8MS2kBDCEEL0KNlqV3S7gtaY7vjfs2KbBLp2TzkEkXiYJPTJ6sN3i78LfqgJ1hAJRxI2Ad3UsRrq0ny97msWfraQ23ffrlQ0XXjT7S7fzXbPdk50nkhRXhEUw+0Nt6P17cj5a7es5avGrxL1U0oqVc6yA0FGmtBA05BSIkywWqyUm+U4ahwUxLLBv7rsVUp9peo6xSUjoVbLO8p28Ozul7GZafSVuYmnYVzuOLa5YXntetY1r+Dy0KXqGiVBomS37NxmFPAE+GD7BxxpHEkxxYwsGKmyGrshIy2DmqoapW937vv1uO7I66AFyh0qMV24Samx4ivSE3NO7HTfTEcmLpcLBJ2S0Zypc2AlLLIuAgGLH12M3bAz9WUVYKtHdRzCQVgLE6zvWk03MG8g1w+7HqehTjgcCau8iZqy8ZjSTLh+g5Kq41kCREQwwz2jnWdodV01YV0Z5/uk90GzaKwqXcWK3ZvRbAMx9ORqutayHyKx+K8KlbHNu5y5ntNI68pzN4p6rrtQ5zU2N3awb/UEUwdMZQ1r0P160uwIcTJ6rv45BugDuKALpy5DN3BoDqQmMTGxSOXMMNgymDkFc5hXM6+DZBRPhmq32hOz5FDnUL6X+T1ErlpQ+Vv89HP0AwHVoWq8YS8jIiOIvyajskaRZ7bmFLRrdnKtubTYWgj5Qpw+5nRmDZ51YMug9iKklBltPwshvoOKU+0WXZWQGCKlHLrH3/h22BERtKqKkLTWEtLgs4bPWNC4AD2iUxup5f7a+xMvZYuvBU1q1O+o56H1DzHcOlw9XElw+rDTuaHvDbTVXGgWLenKLVGiWCjj7ukTTu/2pd2nc46p6TJseQyyDuKMfmdQ6CzkleZXWFzeGoNS76knFHMtMzCUZCQEEpmoPllg70+htTBxbXY37qZFb8FjtrAzsrPL1a8RUavueU3zMIPJpY9IMMIuzy58Riy4cCwqCYlNvfARM9KlV1aPEAEsKMlIQKhenbMe0Sm0FpIlsjrddXvFdjYHNysyCnWyHI95XlktyiV4TckaNmzckPh51ohZfCf/Owk1TNIudJPHr3icTW9voq+tLy6HK1FHyIoVNBiaMTRxL+wWu5Kq20zmb3zxBs3hZka4RiS+i0t/GDGVoxnFHXbTx1GIEJpSNyW5NYn3RtOQAhAQMPxU6OXtisAlRQ9i886ecLZSUe+lmi4SjiTPjBBDNKxSNlkslm4r4SbUq5qFvta+XFF0Ba/5XuPV2lfJJZczMs4gz9E+EW1CMtJaJSOLphIME1UkHvAEVHVhYHnzcp5rfI671t5Fk1SxhSf0P4GJYmJCWj5+7PHcWHQjTpuTkD+k5g4JnazxDnlIKd8EOl/htUGPFJFCiPGoqSGxJpVSPr0vgzuYaEtGJbtKeGndS1xVfJXyoJGtJSTa6d8lpIt0onVRokaUac5p5Nvzkx+gMVaorM1V/aDlAwbUDWA849s1jeuC42q6dEc6yM5X3Pt8zqYioym5x3NE5HisuUBYZUQI+ltX5qZh4rQ48Zm+djYjU7YWxDs6+zSOseQnJqyn1jxF38g0RKwgXTKJcfsn2+k/uX8iuNKUJlFfVFVL3QPZadncMu4WiGvjBBDjhgQZ7V0oSge8ueFNhvmGqfQ5bQjBMAyqI9Vs9WxlJCOT7ruqZBVVTVWJcuzJ8OmGTxHNAneuctutaayhn+iXkCYHZA6gn7ufMlB3QkZhT5jyzeWUf1FOqDjEpAExb0wZi8S3wDEFx5BTncNLxkuMyxnHBHOCshPF0NTchIxKoqE2OfRiCzAZldR56miKNmEP2Tm9z7m82PBRpzYjpeoFITTG5h1JmtVF36wxnJ4zhuzkHu6t6AEZ5VpzmZs5l/6O/t10Bk07m4j4I/Qd35dwKMxJ6SclfZZAFbuzYUPX9G7rbVlMCw7NwciskURbohBV0ucm/yYqdlfwU/dP2TMVYdzZIBEDJMGHj7c9bzO1YSrZnmyMqEGaQ5HRcQXHQTksjyzH4Y5JszYDM2Rii9rUIjbmWOW0OYkGoyxev5iW+hZO107vPsD4EIAQ4rttPmrAVHoYsNKT3HS/R+UWuh+V1uGvwLl7P8yDj0T5ZGHDiCpjNIKOZNQmtU0gFMAT8eCpUfVummQTfp+fsCdM6Relib6lKXn202fZqG9sl2pwdWA1Zd6yDmOJhCIJMjIiBpt2bwITRLh30/Oqc9YwBYRlhFp/LVEzitPuVAXl2rRzWdqXxYir6RIkLkQ7V1pDNxDCApoyIOzpvhtsDvLM7c/wyi9eUZNobCHQqSqyjbS6J2xWm7J57ScZVbVU4TE8pLnSuDT/UkZYRyTOBQlLm5Z2uu85R5zDDwp/gM3SkYxq1tfgr/XT5G2i2WhudfcNgTBbsziXVpZSFa3CYXUQ8nVCRl6lSsMH75W+h2Ex1GpboohFAyygS+X63cfVh1HOUVjM1uVzOBCmPFzO22VvAzFVW2yVbUZNLjnqEpBKGpVSEY0uk9uM4olyhRAcNeEcpp1zcsJ21NX9MHUzQUZdOTB8tPojGqINZJDRaZs47r31Xh780YNgwKqyVWwJbenaZhSXjLrwkgT44bQfMqfvHCbmTMSu2blv631ENOXwM9k5mVqztkPZlXhlaJvVpu6PCVGibApvwuvz4q/zg0FCMspyZpGupYMBzjS1rn+j8g0ernk4cQ6fr/uct2rf4toh1zI3ay4er4fGSOPhJBm19aA7DRUFdl5PduyJZDQHmASsklJeJYToCzy2jwM9qIiL1eekn9M+N12MjOaOn8v7X7zP1ujWxORR3VgNEsrKykDC+4H3MStNdvxjByXvlHDrK7fiGuzCW+mlpKaE0a7R7Y6ZKDy3B6LhKFas6ELHjJq0+FoYZh9GvrMTqWsfIU2JQGNVy+e8Xf9fLNvgB4N/gNPupKWlRU0WViVB5dpzqQvXkWtV/imCmJouJhl96fuQ7SGdq8zLVJ0j00RoFoTF0np92yBQH4CwWs0OHzCc8/qdx1tVb3WqiqyurOajbR9xasap9KV9bR271Y5hGhh+o1O7VKcwUZkVc+D6cderFI5WVTE1PpnqEZ1+1n7MyZvTaTcOzYFDcyTKsbfFgz95kDR3Gr846xewHtZY1wDQV/Rt9aqzwgfrPiDDk6HUMJ2QUcQXW6hE4Rz3ObhdbiyahVxrLsdmHAsafFL7Ccs8y/jN+N8Q1IIs8S1hUMUg6l+rZ/z545VLt4RxLpVgVg/piVW3GTLJtCtp9u3Kt0nTljOt/+Vc0DwlqT0v/q5ITUNKkBaoC1Xykudjvld/Bn06ifRoW9zO2YWhr6SihKg/yiTPJLLionBnMFCScxDOGHYGi5YvwtPkIZPMjtcxFCHDkqEko+5qhukoSdkMUavX0qg3UuwopjBSyAT7BP5d92/mVM1pp+FI2EGtFn5b9FvWBNeQYclghBwBOVBWrwKp3TYlJVcEK/jc/zkOuwPNrlZcq1tW81rNazxwxAM898JzRKNRImZEOSx44bTRp6lAmsPHZtST8kJJ0RMyCkopTSGELoTIRIVlHr42I0CTGjIqkRJMTWDRLOimTrpIJ9uSrSbV2Lxqt9jBBG+9CmidnTabUemj+LLmS/CAsduAwdBc3gw6ZDuz2x1TE1rSqP5oJIpDONDRMaJKKrNIS7uVZtgTxua2oVn3/Uk8e8rZjPraYHl4M0Pswziq3xTyXfk4bU6qzWqVJSJDSUZp9jTybHn0symbWFxNZ+rqWmXYcinQUS7DsQlKCE1JR0lUMcGmoLJp6HYwUJ5PtEpGu77axfN3Pc9ND99ExsAMfB4f21u2E8nouNy222LVNJsjnRY27Ay+5T6qH6qm+LZi7DKm3xewTd+Gs9pJEUUYUYMMSwZO6Wx119kDq3asQnqlkoz2zLEXRq2EY5Namj2NAfYBCCEIymDiefru2O+ilWu83Phyh5V2HPEkupcMuIQR5giwwTD3MEakjWCCawJYYGDGQGSaxGbY2BzdzHml5+H8kZNLB1/KBY0XEAqGmO6ezki7UjmGPeEEMRgRg3Wl6xJxOrowcNjcZFvcSVVBpmkipXoejJhwHDZDbA9voan2aPrM66PWvnv42MZJ9Wz32eQ6O3fA9fg8SEOypWIL07uzdcclc11pLXaGdyYyZO+JU4ecinWnlY9DH3drj3pn/TsUegspC5exxrcG3Ooe1pl1OKWTuTlzGZjWPk1YPLXThnQrR5gWprimqBk1Fujqb1DPQ1xNt823DUMapGnKu67CU8E/tv4DJ06atjXx3nvv8dsxv4V8WONfQ01jDacGTlXnfJhIRkKIIaisPYNpwy9Sym61aT2Z5ZYLIbJRxe9WACuBznUZhzDidotXW14lEooQ0GGb3ioZLd+xnG1h9cDEE6nG3TY9jUpNN9E1URU8yxkIJjiE0v02VzRDFLLTs9sdM54ccU9EQhGyrdmclX0WA90DqW2pZWt4q5LAYrj7grt547Y39uucHRYHTqubkdlT+H7mZYxzj8PtcONyuAjprelwTMNE0zTm5M5hdsZsAI7IOYLTsk5DGupaTMg8mlPSTyOR/FWiiMiiKXffPdR0lpCKH0k309m0fROvVbwGtNrFNizdQHhHmKV/VY+THtY7janIcmQx0D4Q09fNCjcJdm3bxbOLn6X2q1rmrZ/HRv9GAN7zvMfSytixIzpbw1tZ5l3WaSaJtbvWssa3JqlkhAno8MaKN/ik6ROGDx7ONZOuIS83r128UR9HH/LseUpNGupETedTxOEY4ICpsDUTzuv7PQbbBquchwJGZo9kqH0o79e8T5NsolavpayxjPd3vs/6heupbqomKqI8VvYYjz76aLtijmbYZE2ZktyUr4pGbbiCL4NfJLXtxO+/RMS7wKJZecv3EqfefSor3lxB+LWOhBDxKzWXXdq7dDzRDI2B1oGMze68ym4cQ/sMTZDR+5vf79IeNSR9CEXuokSRyK4sF7XeWlrMFibnTibPqmL+3A43QTPIK82vMM49jixre6ktzZ7GINcgQqad9ys+YmHTQmr0Gl5oeoGdtTshCFkii7R0RUZx1a1ds4MV/u/9/8OQBtcWXMuwIcNYu3ZtQq1Zo9ewM7STN5a8wcfNH/+viuv1Bt4ESlFmnb+32bpFT4rrxauvPiSEeB/IlFL2KL3DoYa4738/az+1upcQ8AmsQpHR4tLFNOgNCQ83CxYcFgdI8Hq8YEK5UY7pNcnpl4MDR8Jo3FzVDBHIym3/wFo0S1LjaTQUJcuaxbT0aWCPvfCSBDkYEQO8sG7hui5dUrvDmp1r2OaNUJg3jRbTS6WnjqLMIpx2J2EjrMp699ESZPR4w+McnXY0J3MyxenF4IJl+goATCGQJq1kBAjNgiYs1Bo1+Py+dqWv+6X3wy3d5Fpyld0kdhni9oMcdw4Y0HdlX2VXiJORreNjOSZ/DGPyuo6i7wz1dfVqpVrvZ5dnF+OcSnX1/aLv44wq9ZEw1du+0reSaca0pCvReLqo0VmjsQf3CPaMqdUqmytVPSwbcCRYW6zo9a3ZEdaUrSE7lM1J/U5C1Civqz0N4xF/REmUDjsMgfIgpNfDG4GX6OPuw4VciKmZrAqsYnV0NZ6oB5uwcdqo03h789tc8fwVWDUrnzs+Z2VwJdYbrEyePzlBRkbE4OrpV/PPT/5Ji9mCJixUhXax0/8+x4andVCDxhdxQsQWHUBjuJZd0e3QBN/75HtcGL6Qk0eczOzZs9ufhwmv+17HUepgFKM6XFNpSoyIwXDbcNJl51V24yhIK6CCCjDAG/R28CJsi5LKErKNbCyahQjqmnY241014Sol0WTAaOdovo5+rVy2URLh9uh28n357dSIw/sPZ9jA4XzmgJXRrWz21FFjqWFLaAtj/GOY3HcyYwaOSTjhxBe9NmHjsXWP8dqm17h88OXk6rlMHDuRNWvW8Fa/t5D1ku8c/R3wwL/L/02BqcIv7l91P8eOO5YjOKLb63QQEZJS3rcvO/bEgeG/8f+llKVSyrVtvzuckJWWxXnF53Fx+sUIXVlgpVVDQz0kN0y4gRMzlBeiEVSzhyWmgvL4lGT0hvcNVtWswuvzEtbDCdfW5upm0knHltF+ZtGEllQyioajWCwWqqJV+AI+Mm2ZTHJOothdDLSxGyRZUfpr/T3OcLyxfCMbfatZ3fw59zb+nad3P43P9CUyEMTLSEhTogmNswrPYkyamvSbo81UhCsSRPl1y0fcW/9PReTRuLuvhcpgKY94HuKom4/i2WefbT14AKyGFT2iM7poNFcMuAJoJaO4mmN0w2hY1aZ2S7I8XLHEo5GW7s974/yN7er4bC3dqsio0a/crmOBifnp+aTr6WDCDVNvYIxzTJeZqI2ogUWzcHzB8cxwz2i/0pbglM4EqSeGrbXPxPDB5g9YH1xPcWYxRbaipPd3UP4griq6itz0XKVZM+DlZpWiaka2qnb7ee3nXF52OU/WPcnzu55nhnsGV427ivMLzufp6U8zwD2AlcGVjHSORErJw08+DBLG28Yrad6I1W4yQaAxIvtInvU+yW//9dsO4ynuW8x3+l+M05aZkIyWVb0PwLH9j2Wbbxt3fXAXl112Wbv90u3pHJ1/NGNsY8ixJq+eG/Ep6WlTeBOVTZXJL3wblFSXEDbCrc4udB7399Kal1jpW6nUzWZyT8EEYupVj+6hPFKOFWtCNWxoBs80PMPW2q3t9zHUZgq4PO9G5ubMZXLG5NZsDfG8dDFz2TbPNu6qvYt/Vv6T6969jtOGncac4jkY0mDimIls27aNysZKWvQWpfKUEG2MYrPY2O3ZzS2f3cJrG17r9hodZNwrhPi9EGKGEGJKfOvJjl1lYHDGMi3kCyFy4hkZhBCDge59MA9BpDnTGJ81HiEFpq704KZFoMlWz6d4FoK46B833sfdOO1Wu1LplG9V3nWxWkTNdc1ki+wOAZmJktx74Nxh5zI9azoP1z3Musp1rXnPYpJR/CVN5in0tyv/xhPXPtGjc754+veY0/8alVUBEmowl0PZXeL50QrdheTYcjji5CMYMEOVN17SsIRnGp6hKK+Y2TlnYrHYCZsqJU3ceCuExg7vOgBy0nO48sor2bJFVaf/5MtP8IQ8jHGPASPmCSYg6lcnpUeUN1LQDLJr3q4EOSWTjMr8ZZy942zS56bz5BNPdknGL//tZR654ZHE59MmKNVioCGgyCimBtwe3s4KzwpFCFG18DA68SgDJRnFM3JLQ7beGwkjs0aSTTambrZ60kEiE0PCA9FQhFav17M1sDUpGbktbgbZB2F32RXfSehj78901/REXZ5nSp7Bb/oJmAHqwnUUWAuoaqhmjHsiTU3NXDbiMi7OvpgbCm7g4rkX88KCFwhGgsxwzGDN5jW8v+596ow6MEETFnb5N1FpVPDP5/7JunXr2o0nMy2TEemjsdscidykX1ctIN9SwPeGfI/ri67nthNuY/fu3VRWthJKhj2D0/udzkUZF1FgL0h6TeOLrhqjho21Gzu5o62o99Qr9/SIbJX0ktiDZFDyw1E/ZGruVKbmTGVmxsxOFxkAT69+mhXeFSyuX0xZpAybsGG3q7kgfj/3dIJYvn459++4X5Vm0ZSzyACXencM3eCTJZ8wv3p+QvJdUr8EiaQ6Ws3EvhN5ee7L2C12TGkycfREpJTsrt+tjpcGC6ILaG5oxmaxMW/VPExp8sMjD/lMbBOAa4B7aFXR/b+e7NiVZHQtykY0OvY3vr0F/Hs/BnvQEAqGeKf8Hf7R9A+8PiXiS4vG6IwxXJh9IR9v/5gmo4mj3Eeh6erSxN0yMWCkayQ2iw3DMOif1R9MyLIrGby5rplsS3YHlYumaUlTzAxyDaI4vZiL8y5mVNYo/CE/K4MrWbVzlTquLQ1M6K+15/1oIArNUL2mukfnLGPu48RULJjK+2dw9mAuyr6ItKg6v8vGXcYxOceAA4g59B2ZeyQX5lxIn8wCJqVPx2ZxJJJpGlEj5hJsoSa4k2wtm4V3LMTlcvHrX/8agAJHAUe7jmakfSRL1i3hsbLH6GPtgzUac2SIqHIOzxjPsOTLJZ3ajKSU3LToJt7xvkO6M52bbryJ28+8vfMAzWj7tPzxxLiBZvWdRajJZYN/AwtbFkIQFmxcwKbQph5JRm9Uv8ED1Q8kyMiMmhzR5wguzL0QMxrLeBHDif1O5Jd9f5noM14iY7VnNS81vJSUjKoqqlhbvxZpk2q+lXBs5inkWHJo0Bsobynn2W3PMsE5gVsKb+G3k3/LaMdoGj1efFE4kpmMyhjFUelHIYTgl//3S4KhIAurF/Lnpj8z/frpPLTkoUQgrRAWvqxVLuAuu4ubbrpJVfeNoaWlhRLvViIyigQ2V69hS8NSRtjH4fV5KbIVcfbwswFYurTVnBzyhmj0NRIg0KkHZdgXToQ4xDMadIWfzPoJtxTcguEzWh0yktiMRIug0FJIbnouIzNHMt41vkvJaGfzTnbQQqNUqXhsmo3+6erdc1gdiRCMtkjX0im09QOrxse+d3m2/lm8UtWzMHUTGZJq0RLT6K5uWE2BtYDXJ73O0muWkunITDgJTRqtYsnKGsoS6YBkjlQOTULVYTu5+GSG5A7p9hodZJwPDJVSHi+lPCG29SjotasMDPdKKYcAP98jA8MkKeUDvTXy/yUqqypZ3bAagCxbFqPTJiBsdvKdfRjrHMvKWiXSn5F5RsIx4fwp5zPAOoDhtuF8v/D7StKJGuS78xlmH4ZDOjB1k5b6FrLd2R0MjZ3FOGzcvZFGs5HR7tHKlTr2ogT8asK0mlYGpw3GptvaqYMaShrUA9rDeJtFm75gZctXiLjqSILFZiErLYsxzjE4grGAQYMOT0MfVx+cOPnZIz+hMlgGQiRiUdx2N98Z/B0K0orZ0rSMKfap9E3ry6233sobb7zB4sWLGZ8/nmOdx+IL+wgEA2ho3Jh3I0PS1AulR1Qal7MLz+Z45/GtkpG9PRk9v+55FuxYwJ8K/8QX//cF4UiY55c+z/Ezjuef//wn4XDrjB6vjtqWUDbtVDFc/paYmk5T/TttrTWNypvKMaTRaeZqIFEldlTmKKa6pybISI/ovLTlJTZ5NyVSSsVhtVpVFdlIzD6iK0KbVjCNa3KvQfo7WtU3lmzkzeo3IVbXDQmmBV5ofIHV/tX8+fM/Y0qTE9NPRJc6N4y/AYuwEAwF6WPtz3jrFC4dcClDXEPQTZ2Joycy7/Z5LGtcxn88/0EIwdb6rQnSFJrG+qavSBcZ/O6K37Fo0SKWL1+eGE9JWQmvVTxPxAjy1o4n+N5j00m35zDGOZFgKEg4GibTkonVam1HRpu3bua+Tffx1+a/sqp8VdJrmtAAEKv11A2y7FlkW7IxA60OCclimGq317K8fDlhLYzH8FAXqev0vkpThS+ENA1fvXJftworQ3KHYNfsCTf4dl6xPhhdNZrv9p+DsGiURksoCZewwb8h0fakopM4L+88FRNm6qxtXEuxrZjJ2ZMTz2A8lm/IwCGkpaVR3lie+M2SZeEz32fcvfNudrXs4prx13R7fQ4BrAGy92XHnnjTVQshMgCEEL8VQrzeUx3goYbC3ELGZSrj9aCsQZxRcAFWuwtPxMv28HbC0bAqQiejrUknDXAKp0pKaZJILXLSqJOY5pqG3+snVBci35JPn7SO8RZXDrqSy/Mub0coRsTg5U0vszG4kW2hbdR76pUBPW7Ep9V7b4RlRLuXyO13QwT6iJ5V8dhauYWyQEnC+Bw/h6gWpSRSQkuFSiD50MqH+Lrla0DNsbuB2nAd15Zdy31v/4t/7f49hlCTtYxKHDYHk3Im49BclLaswyGcVNRU8JOf/ASHw8Frr72G7tF5seZF3qh6Q03SUlNPXEwVGS90V5xVTCGF6GEdgcBibVVzbanfws3v3cwxA47hV/1+xdiMsfz1wr+SpWXR0tDCT3/6U2bNmpVYycfJqG0A6Lqd65SazhtoT0Z2J1EziuFR9sKpaVO7VNOZhlLBjc0dy4y0GQkysmpWju13LJWhSpVws43NqNRfyvst76MH9IQHolWzkuXKotBeiPB3dJOaOWImNxXdhLCJBBk91/Awm0ObadKbeGL1E1w44kIliQt1P+NSjiENtodKMD0mNrtNqQh1OPeoc/l/Y/4fN2fdzBUnXsHOpp1Mdk6m0FaIJixs96xmgLWIucfNxeFw8MwzzyTGM3rQaC4deA12axpPbvgjI/pO5J9nLCfDkp0gfl/Ax6RJk/j6668T+xXnFnNG/hmgde5kICOSbGs2QJcZ0+N4beVr/Kv6X8r+F0MyyWjHph28veNtjDSDT+s+5Zn6ZzpXv8buC8KSCFMochQhrZKIGUnYjtpqOJbevxTfOh9GNmBDpUkiliEjnrXbh3KYELCuZh0BPUCxrRhDax1vcUYx093TEaZgwoQJ7G5Sarp/Lv4nZ797Np/5P2OlZyXj+ozjvGE9ih092OgLbBZCfCCEmB/ferJjT8jod1JKrxDiWFRE7VPAg/sx2IMGt8PNqPRRiSh0aaoV5zZvCc80PgMSNkc2c1f1XdTXq5w076x+Bx2dsAwzr3xeIoi1vqmeF+tfpLq+GnfEzfXDr2dS3qQOx9Q0TaUIakNGmqFx/bjrOSL7CF5ofIE1tWv46RE/BUi4DFdXVlPqKWWIZUg7KSgzlEmxVkyG6D5aHcAwTBUL1NaobrUQJMizTc9SskMVYcy15+K2qOC8emBDPbyy5S3e9ij1zQB7MR69hec8T/Hq268SCUYo85SzvulrDKlTbB2EjEjS0tI46qijWLRoEQ+89wCNRiMz0maoEuWmzuPNj7OhTK0eRxWOYmbmTCr1Srb4t2A3VJJIYY15tlWt5Nh5x2Kz2Hj49If5e+3fWb5tOddMvYZf5P+Cly5/ibvvvpulS5eydasyLsfJ6Mw+ZybOVw+q7wJ+RUZxNZ3TrmKKQrUhjCi0WCxEzC7UdDHJKEoUb9SbICMNDauwUh4qb630GkNtpJZVwVXoAT0xNqvFSqPeyDL/MoKNHZOlOnGSq+WqYGQACR+3zOf55ue5et3VGKbBzUfcrBrLVkkyQ8tEl1FeanmWP274I0EtqLJW6LB602q8ES/3FtzLyeNPJqSH2BHZodI/CYOGcBUDLUVkODM477zzeOGFF4hG1QmmOdIodA4gZASo8pcye+R3yHEPILMNGRlRg+nTp7Ns2bKE92iuK5cpaVMSZVKSYUDuAG4ZeQu5ttweSUbrKtfRrDcrlWtMTRdPatwWzdXN2A07rkwX0/KmcU72OV2qX+NkZFpVNpEzcs5gi0/ZPuuj9a3tUKryd99+l6+2fYUcosYgY4lSbRYbXsPLvPXzePDzB1nYvBCAL8q+AKDYXswqX6uUOCJrBKdnnY7QBUcffTSlTaXURGv48xd/5oTBJ1BydQm+G32sv2F9IiHuIY7fo1R1f2YvXbt7QkbxW3gW8KCU8i3opojJIQqPx8MWj3rAFpcs5v7SuwiZIYamjeDK3CvBhAGOAZyccXJiYjZ1kwG2ARyddjRDHEOwWJVk9N7q91qNpy1AAJKlyFrWvIxFnkXtXgShC/o6+5Jhz1BiumGSZknDoTkSK8ihfYdyw9AbcJmudmRUU1JDwBdA1/Uu4ybiMA2ppKK4ZISq9JrmSuOHBT9ktG00SLhwxIVMyJyg9gHMMDxb9hQO4cDtcOMxmtnsWcYuvZQLf3whc6+Zy783PsDyOuVY+fOcXzMwXQUFzpo1i5UrV9LU2MRE10SG24djRAxsmg2bZkOLqsduZMFIZmTOYLl3OW83vc3MITO5uehmVbxOSq5880pcVhdfXPUFowpGEZABQr4QL375IjtCO6hcV8mFF14IwEcffQS0pmhpO0GFAypuxx/woxuwLs1KKEKijISv0se89U+xyb+FULQbNZ1m4cuGL/l7zd8TCV8jwQiZtkyuyLxC2YzaEP/0gun8uu+vVRXZ2ArcIizUhGt4p+UdlWZqD2wo2cBqz2piSeLVIimwhiwti7AZ5qrJVzEsb1hCJRyXJGdmzWZG7ukgIY880pxpyrgelhxRfARz8uawRd/CtMHTAFW+4BeVv+CX61XQ/ABrEWbE5LLLLqO+vp733nsPgJr6GtY0r6C0WUV0DC0Yj9Xq4Ad5t6gUPqZa3E2fPh2v18vnn3+OaZo01jdS5a9S9qBwJ0QTQTmPdBKPtycybBlMcU4hTaaBhPPSzmN09ugO7Zprm8nWshFuQf+0/oxwjOhc4o05JkihgcWiJEwMMl1KPZfnyGtn+434Iiqm0J2NtCubnikkErXQWBFYweMbH+fLXV8mkg8vKlvEwLSBHOU+inHZ41qPjUnUjCKjkltuuQWAO3beQX2gnt/N+h1DBwxFyz1M0i8AUsrPkm092bcnZ1khhHgYuBB4Vwjh6OF+hxzKK8vZ0KxW5QWuAiamTUOzWHFb0ulv6w8S+jr6cmzasaRZlGH/nHHnMNU1lTQtjeMzj0/YgOJBsUbYYMPGDTy26TGC9o6r3IpQBTtDO9tNcEFPkK8rv6ZRb1RqwUiUT3Z9QliGE6tDq2llZd1KHql/pB0Zvfbxa9T765WHXg/iP824ZGRpJSM0NYEVuYtIC6UlvJLik5uJ0nGvbFnGJOckRhaOYp1vOWWBLbiEi99d+zve/eRdHt36MK9uv58cVz/6WQYkxjlr1iwMw2B7/XZCMkRVuAozauLUnFyed3nCddzn8+GP+nHYHcpdNxgbhwZra9ayrnYdvz7214zIG4HVakUIQSQYoa6pDiTU7apj6NChDB06lI8//hhQyVYn5Uyi3t9a+ygcDJOr5XK082iyrXkYITvN5STc2721Xna27CQg/V06MNx0xE2cmHeiij+RqJLUQNAf5MUt89mo7yLPmqeKMLa51moQrVKbVVgTnlrhlo4eDCtLVrK8ZXmCjGq8ZdREK5juns7Hx3zMg2c/2C45p8Wq1HR61MDmzkQCJ2aciNvlRiIxQybZtmzSZTovel/EipVcZy5bwlsYZBvEEdnHkOMopMBSiBExOO200+jfvz8/+MEPmD9/PtvLt/NhzQJKW5SX3dD88UhNSQPhqCJ6I2owc+ZMAGbPns3MmTP5as1XPFf5nMrc0IlktGXLFp7e/jQRLaIWWN3AMJTXqRk0VTE80eqB2hZNtU3Ku9UBDZEGtoe291gykhIWNC0gLz2PWemzGJs2NlF0D1rjp+wWe+KdikuwVmGlIqKKQC6vXI7NYmNN9Rre3Pwm5w4/l4tzLmZA+oDEsb+u/5q7qu8iEoowaNAgpvWfRm2klol9JzJ78Oxur8ehhv2pZ9QTUrkQ+AA4XUrZjPKA/8W+D/fgoW1hs6L0Io7LORVhsdIU8bAiuEK5jGqSJr2pNTW+DhtDG3mx+UV0qSfUdBeMviDhyWORFhzSkTRtz3cGfocr8q9oRxzeZi/vlb1Hdbgai7AQjoT5vPLzdh5F5eXlNAYbOcV1SqvHlQln5p7JhdkXcnH+xT3K4mvoioxkfGwCddcFbIhsYGfVTqLhKH9Z/heWNi+NH4aylk1EZJgBtgHkp/dhS2Ad5f4tFFr686vLfsWy/yzjtD5nMHPw+Vwx5a887Pk3m8o2ATBjxgwsFgu7WnaxOrCae6vu5Z3l77S6RYfVTXht8RvMq3sBh81BxIzw2erPeLPmTdDg2bXPYtWszB03Vw1bE9gtdsKBMOFgGCwoVaoBJ598Mp9++im6rqNJDcM0CEda46fCoTAT3BM42n401w65mSxXAabRKhn56/xICdMyZ5Nv6ctfHvhL0mvpFm6cNmdraqJYzJNpmETC8GbzfC4ddClH5h6T8PouD5TzSvMreFu8rVKb1YrDpsTosCdJ5oJYhVLUIp2lpar42gjHCLLt2Vi1WAxMTDUUl4w+qHmHEmMrEvDqXoZmDuW0jNMgDDvLd7LTtzMR0D04YzAWLMzNnss1Q3/J3479FIuwYOomNpuNTz/9lOLiYs477zw+WqqkzjLPJhwWF/2yhiAt8EbLs4ywjlTvgWEwYsQIVq9ezR/+8AeWLFnC24vfxq7ZCRPm6s+u5rlnn+sQqmBGTCLRCA6bo0dkFAgHWBZYhgxKbp1wK6vDq9lQtaFdG2lKmmubyXHlgAYrm1byQsMLXUpGMhYzJyxqBZDryMWR7uDEficyMHtgu3jBRGYJqz1BQjL2epnCpCJagdPiZGvTVpr0Jq5ecDW5rlz+eOofYQZQ3Hrs4vRiTs44OWHjvGjUReTb8vnNcb9RyVcPM0gpM6SUmbHNCVwA9MjhrVsyklIGpJSvSym3xT5XSSk/3L8hHxzEI8lB1UIJGSFMJNXhGj7wfAAmVEerubf+XnbX7AbguWXPUa2rZKmvNr3KSX1PYnb6bFUqOUZGoweO5rL+l+FwJNHTxa9wG+JIJFjULGhCw2ba+P3U35NnzUvo6XeW7WSrdyuTbJOUxADQDIMtgxnrHEuGJaPziql7nLNAkObMIcuaw3m55yUkoE98n7CicgWmbhKMBlW2ctQl2lavsi70s/djYHYRftNLVWAH4+0T0aSGO+jmj8Pu5ucnzWPa0DnUmXU01zUDkJ6ezsQxEylpKaEkUsK/qv/Fwx8/THW4mitLr6Tw6UKWLl3KxPwZDMo5DtNQ1y3QElDJUDF4fv3znDH8DPLdrYljbRYbXq/KhGHVrDSEGjDrTE455RQ8Hg/Lli2juaGZXFuuCkpF6felIWkwG9gV2IU0wNBAl4qMJJLt27cTjAZBs3BX/W385v/9hqqqqg7X8pMdn7AzuLMDGRkRA2kqdU0oHGKHA9bFdvfqXlYHVvPSRy+R5kjj2tHXMjxtOHa7HSklyzcuT9zzOMKBsMr8ETM1Li19h2xrHvmWfFUnCVrJiJjNKEZM+ZmDkQLea3qPgVkDmZE2A0vUwpcbvmRRy6KEyuykgSdx7+B7meqeSl/XQKwWm8quEFNZjRw5kq+++orjjjuOPz/9Z3YHyyhv3sCgzLGAhtRAx2CQbZAisagqNRJZHeGX//dLZs+ezQuLXkA3dD7xfkKpv5Q7brsD806znaQ/pv8Yru53NW6HW3mddqd6jknxfo8fDY0o0Q7xP6HmEGF/WHm3EvNYowv1a3yRKjWVDBaYmjVVOR+cAIyB8/PPZ3LmZHXf95SM2tiMNvs3EzSD/Hr8r5FILll9Ccsrl3P/GfeT685V5v02iSYGpA/g2PRjE3kbb5l8C3Un1XHhuAu7uRCHB3q9ntE3Ba2lEODzHZ+ztHwbs0bcjoinP4mtdqA1kK7B18AAbQC51lzsFjuDMwaDH/6+TNnkEklVk7hGA3zd+DVVjVV8x/hO4rv4w5/IGB4rX2ATtoRkFC++V001hS2FWLHSsK2B2opaTN3E7/Uz3ei+gKIRK67XN3so5+T8HwVpreN0OVwEA8HWBLKxH0xge90KnJqLPC2PnOzY99LgwoxLcAonnyz5BEd9BgMsg9HsDjShEWhqje05YfoJ/GP9P3gu+Bx51jwM02CpZynr/Oto0Bs45ZRTeP2yjyl2T6MpuhIkHJNzDFn5Wby7610qvZX849R/tDsXu82uMmG4YGD6QEo9pTStbuLEE0/EZrPxxz/+kft+cR+fV3/OMMswcmSOkjxMWB9az/rQevpogygedRGGcFMWKOPe+ntpeaGFHHsu1Tl+Go0GAJ544gl+85vftHt2vqj4Aou00NemMopHvJH2zxXw0LaHGJV3Ntn2SZj56h6/7XmbtfeuxTLIwlWuqyAITaKJ1zyvseGpDXzAB8x7ZB7icQEnxCSjGOG9t/VtVpR9wOSMmQghlLcWShoqdhRjMSxYbVauKbiGqD2LnRnpmFZ1E8NaGK/uJSeQQzgQxqW58As/0UCUDHsGTquTTd5NnGg/jiYt3Po8x+B0OnnjjTeYOHoiH9XPR1qtTCs8HTP2Dp2eeyEWY6cqv6IblK0t450H32H3mt38/e9/Z+rUqdxTdg8teguD3IMoKS/hqnlX8dSlT5HIDBQBDDiz75nK+8yk66SgMTKqqa9h5a6VnJN+DgUZ7QNqm8uaVdLijGx1rSwW5QWqS+VMtAeEFOQ58rFrLtKdeUx0n9PqLKCpbXT66EQMYTIy8pleNgSX0dCo1MOT0yczOW8yaWYavz7915w18qykpxM2w/h1P1nhLCUdGRxOeeg64IDWM/omIa7zneqYSrolPUZMAmLeVZitVRvj7qKmYRIgQKPeSJAgVaEqdoV24Q2ooFkjYrBo5SLu23Vf0peoJlzD9uD2diqCtoZsTdPwhr28teMthBAUWNSLFQmqXFqPeR7D16Aqn25bt42XNr/EWnMtX3q/7JGazjRMVW/IAtV6NeWR8sRdd9qdhCIhzIiaTOOGdwmU1K9giHskmqYxMKso0d8kx5FIXdJY3Uh2LBOz0AQOq4ugp9Vmdvnpl3Pj8Bu5rvA6bsi/gZnDZrKoZRENegNXDbqKzMxMfvnmjTTrjdgsDraFt3Hpa5dSHirnj1/8keKsYs4fc367c7Fb7XgCyuW9KDam+nX15Obmcv/99/Pee+/xj8f+wYy8Gaz0rgSjtTbQ7PTZnJxxsnKh1zQMCXd/fTemNLll/C00RRp5ueZBcrQ8jj/yeB599NFEfFjzrmbQ4fZptzMrdxY2q5qVor5o4hrHHLtUkKNFI+AAbzO8tvM11obWYrfa+c+T/2F57XI8uodbPrmFjaGNTOs3jaeeeopf3fIrnn/1eeoeqiMcCmO32Jm/ZT6XvHQ+Q/ImcUzO6UiUdKguOpia8twTmqCvvS9WYUMXEsOqBrM1sJUH6h6guaFZkZFFVYwVuuB3037HiXlqwRowAxDzANwzw3xeXh43nncjTXoDzaEaBuWMxzSVWqrOqOXlxpfVWAxTPUcRaN7RzJQpU/jVWb8i05JJljWLP4z6A3kZeSyoWcAJl5zAggULAPh02afMq5hHQVoBBdaC7qX92LTm8/go9ZYqB4E9VH/Nu9X9aisZAR0S+caRnZ7N9aNvYlDGKNJd+fw38BFftHzRrs2u8C5qfDUARAIxMrIpMpISVnu+4F3fu/x757/pb++PxbRw3uDzeGDiA5w18ix2Ax1lbdjUvIn76u7D61Fq3H+v/jervMljsnZZoKlH0/pBxTnsYz2jnuSmSxNC3U0hxEghxLlCiCTJwzrs94QQolYIsb6T32cLIVqEEKtj2+09GfD+IC6RnOg+kXRLBipIQxBnkYv7XMykrEnKFTXUmg4oHlXdoDfweePnvN34duKlMSIGgUAAv+5PejUTKWbaquliumeLUGo6f8TPqrpVHJN2DCelnwSyTfE9IOJRK/CWmhZsho25Q+by4z4/7kBGq15YxcrnVrb/0hRYsFDu3cxTzQ/xZO2TiZWX0+4kpIdUACGtL23E1NnRsJqhacrTLs+VjwUrabZsXvI+y65tu4gEIuRk5CVUFA6bi4CvVTIKtgTJt+RzWuFpODUnvzz5l5iY5FhzOD3vdH7605+ysmIZr1c9xuOl/+H55ud5u/RtJq+czJKKJdx27G2JjOlx2Cw2PCFFRv0y+qlcYiXKNnrttddyyy238ODzD7KucR3VkepWMpIwwK3UId8ruBKr1cnG5rW8vvl1bul3Cz8f8nOOyj8GE5Mf59/GDXNuYNeuXXz00Uf4G/z867J/8dnfPwOpPBETajpfXE3XKhldXHgxQzMnYFjhlQ1v8fuvf88w+zB+ftbPWb52OY9teYyt3q28ufVNjko7ir8c/Rcuuugi/vrgX7nly1s48ckTeXTFo6zzr+OyNy5jQuFk/nLOfylKU7aZfFer2rLJbCLHkgMCXmp8iXt3302jUc+5k2/m5pk3U5RVxAVZF5CmpREJRhJ1dYyQeg/iq/8v6j6gT1oRP8n9DUOyOkb4HzX6KAY6BgMwOEZGCFjs+y/D7SNI09LQTOXejmwtETIkawh/Kv4Tb0x8gyMzjmTmqJlEzAirtqziV7/6FVJKmpqb8EQ97ArvUgGjXSywTL01v1xfW19uGX0L7wfe58vdX7Zr11zZDBHIzskGWtP5dFpGwlCEIoGQDBGUodb0WTG82fAmX9ar4yTIyNHqwBAlSr4lnwxrBpcWXMr0jOkJN36AKgM2bgFzD7LVLK2LAKlL+jj64LJ2LJEige0CynvkCrBvSDZnCyHuEEJUtJmnz+yqDynlVW22a6SUd0kpa3ty/J5IRosApxBiAPBf4CrgyR7s9yRwejdtPpdSTo5td/agz/1C3Gbkl34i0ShazN1ZxBJnYrSuPOPqCtMw1UssICgNJvQ9ie/kfKc1L1bYSMSfJCUjS8d8Z/GXymKxYNEsquJszIYUT/7VthJsXB3UUt9ClpaF1WlVeez2eLfeevEt3rnnnXbHuv6I/2NW33NxurIotg/lovyLWtV0Npeym/nNhNoQoKR+MxEjyLCY15s0IN/el5E505ninI6/1g9RyErLVS+xhpKMAq2SUaAlgGZopLvS0aXOqcNO5fis4zm7z9mYUZOrrroKu8XO07v+xrxd/+EI5xFcPOhiWvQWijKLuOqIjjW67DZ7Iq4l3Z2u7B9tqsbeeuutWDQLr5e/Toveghkx6Zfdj5+N+RkOm4MVgRVIHUwN/rPhLjIdmczKmcWmmk0c2+dEfj7sXi7PuZHvzPwOffr04eGHH8ZhODjCfQT9tvfjzZI3EzYjQxq88vkrlJaWosckXSmULdIUsLNpHTd8fiET8ycyN2su5086H4fdQSAa4NOGT9FNnWkZ04j6ozz//PPc9r3bsGMnGo1S4a3g19t+jUVYmDf3Vdz2TIrSRjLFMQWXq3WiOinvJMY5lJvwtvA2pASL3YUrK4+8SXlku7OZ4JqAUzoJB8O4bGrfgD/Am9vfpMqIuV2bOsKiYdVsCKOjjkiakhNzz+LIorMYVTAjIRn5pQ8nTn7R9xecln8aUldTczz3YCQUwWF1MDt/NuNd45k7fS53Ft/JfTfex8aNG/n444+JhCLYhZ2V3pV81PJRl5JRQmqTsUTGJjQajXiC7WfoKcVTuKXfLTgzlYOKFq9E3EmBvbq6Op7cMo+awG52B7cjAY/Zvs+5hXOZnT1bnVdMa2F3KgcGaUq2+FZyfsZ3qT2rlruG3qXiBWWb+cSEgBWa6tsfO/7OGWEV+nDh8AsZndHRVV1HEVmkBx60+4EnST5n/7PNPP1uVx0IIZ6KlRyKf84RQjzRk4P3hIyElDIAfBe4X0p5PtBt4REp5SKgsSeD+F8hTkb/bvk3Oxp3JPTHMhbBvqB+AY26GnJCTWeaOG1OEODTDIL+PLLCKn3PMPswxmaOTaS1SXY14+k+2klGcTWdxcKZfc7kaPfRAHzo+ZBnap+B6B6SUZyM6lrIIostoS283/x+BzIamDWQIWJIO7WFNMEUkJPZjzlZlzPSPbKdmi5oBBM1guIvxhurnwRgVv4ZXJZ7GQ7Nwbn5l/CLGc9xovtUwg1hiEBOZh4iTkY2N8FwMDGZ9E/vzzEZx2C1WzFNk9dXvc7NhTdzXN5x6LpOdnY2kwqOpDlaz9n953BO5jmMco/i9kG3M/978ztIRQCDMwbj0lwQhYz0DAY6Bqp4kxgKCwuZNWUWa5rX8EbTGxSPLsbT4CFDZrDD2MGClgU8vPt+/NEWPql4k6smX8WG8AZW169WaX4ypvCJ/z2iwShXXXUVCxYsoLaylvOKzmNAdACr61fTEG1gh3cHDzY8yG3zb+Oiiy4iErPzSeClypfZ2rKOlVXvETUjzDttHg7NQbpI57qLruOZnc/wx01/5KgBR1HsKiYSjKBpGhPyJ3Bd3+v4YvgXXDf2Ok7tcyqvzH2FAdmDkEC+cwBj7GPQtdbZesoRUxgyVEky0zKnxcjISaz8ECEzxM7wTgItAcKhGBkJCIfC7GzZqVRcAqJSxxf18rH/ParrO+Y8NA2TPvZ+/ObUt3G5shKSUbPRyHr/OqRDggF9svuAhBxDZeiOBCPYrXYiIkIoFEIakkwyuejoiygsLORf//qXIiPsnDrgVK7IuyIRMpEMFiz8cIxKFLq9ZjvPlDxDiFCHdFthvwOvzGaZTdBgdC8ZST3ugSDIcit7YB97+wwn/V39ybUotfS4onFcM/CamOs8VLaU4NWbaTaaQcAr9a/wZf2XDEkbQrpVeSsYJug2qPG1P3ZcNW7G49s6IZsIalEoOy+Yu9/opTl7YszrOt5nE/Ss5kWPyEgIMQO4BHgn9l1vOT7MEEKsEUK8J4QY11kjIcSPhBDLhRDLe+L+2RniZHRm+pnk2/JV8lABxB5Wv+FPvKAJycg0ybBnMLJgJKcOnUtVoJwVfmVwH+MYQ44lJ5HWJqlkpFmUl1oybzqrhSHpQ+irqXo+BY4CVWVVVytsh+YArY2arr6FbEc2u8O7Wepf2oGMqhqr2OXf1Y6MPih5lxLfOqRFsjWySdmvYovfpmgTH3g+4LrfX8du3240ofHXL//KvMV/5+QRP2BM1jSGOYahmRrplkzS7bl4TR81FTVYohbS87OUmkKLqen0QMLzb3S/0Zycc3Ii6Wm+NV/ZNSzWhAvvcf1P5IKiG/jbtCe5os8V2E07EzInMLlwctL7d1zf4zg361yKrcWkZaRxdd+rmZg5sV2bs489G7/hZ2lgKRWVFTz56pMsrFiowrQFNOoNLNk9n6gZ4eLxF3P90OuZkzaHTGsOAQJsCK0m5A9xzTXXYBgG9z18H89ufZbyyvKEne+BVQ8QkiGunnw1S5cu5dV3Xkmo6aQBUTPCzqZVFKQPoo+9X0Lt+4srfsFJBSfh1b384IgfcNmAyzg+43gA6ivrGSFGYDWtZGlZ3DP2Hk4aelJCDVQa2spzzc8REW1c0fqjzMModZBVsyNs1sR8Vheu46mmpyjbXYapmwn1jxs3P5n4E6bmTQUB2fY+RGWI9ZE1NHuaO1z3eOl6hFp4mHFXZiVw8GHgQxbXLcZlczElewrFmvJdjoQj2C12nql8hperX6amoYbdwd34m/3ccMMNvPvuu5RVl+EQDpw2J6dsOYUrrr8i6b0H5WiQY1dE1+RrYrt3O9Axu8OGbSV8Xv8VVU2wc9seE34SFOQUcMnQK8lzD8DiUJnJ0+3tayttDW7lkdJH8Hg8uDU3A6wD0OxKs7KlbhkA2SKHumgdtdH/T96fx9lR1fn/+POcqrpbd9/eO+mks2+EQCAkYQlb2BGQHRVQcRcdl3FGnc2FzziO44zojDozjjuigqAooCyi7ARCIGQj+57O1vty+261nN8f51TVvd0diIyO8PseHk2nu+tWnTp16r283q/3+92FrWxumnkTkzM6pygItL4bjVdFFcG9gP7efv5l9b/wcu5lRg8XUB5U2F6vZdihHDVfHzjKz31ECLHOwHjj9wKJh6w8xnR+OCp9cTTK6OPA3wG/VEq9LISYCTx2NCd/lbEamKaUOgHdFfBXRzpQKfVtpdQSpdSS8bqAHu1YMHUBN068kaXppdTKuphZYzbE5U2XM6t2FlBNYLClzQ1X3EDrkulsG1nP73KPQAC73F0cHjqsYTpT7Xf0CHuphBAGVLDppGRfaR97CntAwWl1p3F+9nzwNJuu1tZQVHmwjFfwyA3mqM/Ua3YQwRgr0nd93ditQl7tGdhFf7mXQyM7uG/oZ9zde7cWKkrxT+v+iedGnuOXj/2SFYdXUPALfPaxz3LuMVfyoWXfZsgfYmNxo8nZEXSXO/lm/1dYuWEljaIRMjJkxJK0MxS8QqSM3KKL53taGQk4reU0zmg4QysjXxdETYokZ7VfRTJRw8z0TBJBIqobN+6wYH5qPu9pfg+JtM7DGV31esncpUxJzWRZzXKmT53O3Q/fzeOHHsdO2pT8Eq7yeHrPXUzMTOWUyaeQSCWYLqfzgZkfpzk9GWVK18yePZvzzjuPH/78h2zu28xdO+/SMSMheGT3I1zRcAXfPu/bnH766Xz1e1/hTa1viei9Qljs7l7NtAmLKOdMhfKiR3dPN8ualnHP2ffwvpPex4TaCdS5dfhln75DfQQyYHVhNR+Z9hGOrdfgQ5iPnG5oY0rtVJI145eEeXb4WUqUURWVp8J4RdjHqT5Vzw3NNzDXxJ+SdpJ3LX8Xpy1+C9l0Kx9t+luOaRkLEZ0671SubnuXno+MBWtg7rdX9TJYHGRocIg5NXNY7CwG4M3T3swJDSdwavOpLE0vJZfLgYL+3n4++MEPkkgk+O3LvyVhJ/jvHf/Ni/kXuf3u26PKD6NHuVDm6YNPg0IXx1WaPDNaGW0/sIUXh5+mOA2K8ihiRoHxOiSMMKzhVlVdifjHB37MBzd/kH/8x39kz749rBlcExWy3dq1iqRM81eNn6Qt3abREC/QKEEcAUAloT8DlahiqCh918crehS9IkqM9Q7LmHXPjH8LRzm8UI6ar2+/+kf4b2AWcCKag/FqpX1uBVYIIb4ghPhHYAXwr0czuaPJM3pSKXW5UurL5uedSqmPHc3JX+W8Q0qpnPn3A4AjhGh5lY/9r0ZTbRPTk9M56B9kpDgSwVJKakXiB36UQBjVofICCpa2Cn2hO5sCEKAhnq41rwjTWebclUyeOR1z+NCMD9GQbuB3fb/TbYUNbBd2DC0Xyto6MzGjwc5B8LRAiV6ufPXLJZSgRbZUeUbvPfYvWNy8HOmEFZq1xrx/6/2s7V/Lm7Jv4q1nv5Xdw7tZNbCKsl/m7af8JZa06Czt4a7+u5hZP5sLW64h0zqFixe8gxPFiZySPSWGDCQ0ptqY6kwl6Nf3+avnfsW3DnyLWQ2zuDJ7JY6rC0g6tqPLn5SU6Q9kE0jYWNpIrpR7RWX0ePfjfKXrK/rNduD7Xd/nyX1PVh2jPLiy5R0sy5zLW978Fp7f+Dx/MfkvEEnBf/X+F987+A1eOvAw5065DiEEa3NreTz3OMpFJzwSe8V/+7d/qynEvaujNd2S20J3vptzsudQHCry13/91/T0dzNY1uiGUlD2ihzs38bUySfhl23t4bpExWLPn3I+Uki2lrayoXcD/Tv79f5IwZO5J/FH/IhcEFKH6ydM513XvAer5Qi8Z2EQHhE7zKEhMNI/AgGk7TRz03NRruL2Lbezt7CX6XOmYzentGIRRPc51DkUETTq0/W0Jtt1bpGFvpA03pGCGybfwMVNF9O5v5Of7fkZQyNDUIZj645lcmYyCxoXMD8935j32tNva2vjxhtvZOWelZQo8bXNX6PFamHerHl85CMfobe3d8wtFvNFnjv4XNy8ztCrR6Ml5x57CTdN/muEXnZmZGfw1sa3krHHl+S79uziv7Z8nZ7SYXrdgyigp1wd3Fk7vBaA2267jdWbVvNIzyNRhYwtXc8zJ7uIWc5skokkUko25jbyHxv/g36/H9CKJKkg3wyVtxZ5beUgRkzE2GfsoveW+BPCdOMNpdRhpZSvlAqA7wCvmE+ilPoROtH1MNANXK2Uuv2VPhOOo2HTzRVCfFsI8VshxKPh19Gc/FXOO1GYFGMhxMlmLmN34B9xHO49zPMDz/PtgW+zbWBbBD1YdpoL6y9k3cg6Rhjh/Przo46rzXYHI7IR34RDRAUN/Nzac1nWuAzPexVlRLVVlnJSTHAmYNu6fcKFdReCgidGnuBLB74Enm6DfGXblYDOaxjcHysj2zKspVGVkLNOlg6ro7q9hLmscLQXE8aw/uZ3f8Oc7Bz+u+O/ufqUqyn4Bf59x7/TmGpk4dTTQcGUzBw+1PIhZjfMYWZ6HsIStE2ZxZXXXMnSS5bqkjBooTSv8UTe0fQO5JBehOMnHc+y2mW01rRyYuZEvrP6O9zTew+TMpPoSHTg5TyUAiltAgH3Dt4Lvk5mPVLUoL2mnZyf4yddPwFb1wyrpRpO8cph4q7irZe9Fc/3+Pqer/OlzV/SHW5lCj/wuGDaDQDsLu3m8dzj3LnnR+RVXid+mijxeeedx+JjF/NU11Pc23svP93+U37b9VsEgl3uLp7c/WRUAufB7ru5puk9AOwd2YZCMXXSIjJOlr9r/ztOaDwhqsAQGjwv5F7gmYFn6N7SDS7MbJwJwK87f82wP2zuw2y30Ouu8L63AZ1e/PtAQuDoY1UQ94XKlDK8Z/Z7mJmdyZbiFjoHOtkxtIO8n4+uUfTz3Dd8Nzu7dgLw1fd+le+8/zt6jQ7tYWN+nYbozLkRMKv9FE6qO0nn3/gws30m09PTubv7bvwBn519OxkOhhnyhugt90bKKKTEf/zjH6fsl/n41o+zM7eTM2rO4L/+33/R2dnJCSecwKpVq6qebbYmy+cXf57PN3+eJTVLCPMCR8eMhC90QnkaXAH1yQbmp+ZHjTNHj3KpTF+xD0VAoqYWJaA50Vx1zNrhtWRkhp6eHkZGRrh50s1gwYv7n2db9ws0JSfyj723UFIlpJCkRIopySk6uRkNbSYUeDWQrzAWpTDkCi+oSvkYPVxzDvG/84z+4CGEaK/48SpgXHZ0xfGnAvuUUt9USn0D2CeEOOVornU0mNfdwLeA73JUmS3RpO4AlqM7xXaiq7k6AEqpbwHXAh8SQnhocOdtqrKj159grNm2hmf7ngUB0zMzUGqinqu0qLfr2Te0D9/yOSN7RlQK9q2zbmL7figPg5/UxypgSmoKM92Z1FGnm64xPpsuaSfp9/p57qXnOOvEswA4dPgQe3v3sqhpEa2pVnos3b3StmzKQVlXvw5qNHNKaCrp4MFBzWCrq6er1MWG4gbmv3k+jz/7ONOmTQNgcGSQtfm1vDn3Zj0f4GdbfkyddzzS0TCuEIKXDr7E5p7N/GD5D5gyMIXG+Y040mH7yHZuOP4GLOOd2HaaCXaa3cNd7CuOADOqFEVYCgUJUceGAf3tmAnHQB3kVZ6ecg/5Yh6F4qwJZ0EeCrmChiotHeN4X8f7+M9d/0lP0mZjDhZU6xgA5jXN4+LsxeQSObDhiglXwCgM3TUC31cBJ849kcWzFvNPO/4JgLNrzuaE5rNYsOTdzEnowH/K0aam53lga0XomZbzQgg+cMUH+OCXPsjL/sv4RZ9tQ9tYOmkp1024juZUM21tbUxrn85TfQ9zbc37CALF/txmAKZOWoS7j8jjGN3J9qopVyGV5Pntz0MRZs6bCTth38g+8iJPHXURTAdGCVSMQ2WQW6DjeLh0waVs60+ibPAtDTuFnhHDulWByiju6L2DObVzqtiTSkGAz+bSyywansFMZkIOunfqGoBrdqzluYFtLJELtTfk6fS8mUvexMVFeGDtA4i84E32mzgxeyI9vT0MdQ7xo00/4oqaK9g+sJ3DPYeZP3E+m9ikG0QCC49fyNkdZ6NGFLNbZjNpaBJnHn8mK1as4IorruDjH/84K1asqNpwAgEyJgEl7eQYZbRu14scHMxRb5+Nm4DhwghdxYN05DtIjW7FjE610LFPSdP0ucyb93ZOWzgz+vu+QQ2lX910Nauzq/nOb7/DjRNuZOvAVt7+00tpqZnMzLqFqB7FRmuEspB0OB1cPfFqSBuhqcAWQFLXVA5HhJy4sWcUyphK1L8MSA+CP6FndASZvVwIcaK+A3ajm66+0vhv4KSKn0fG+d2442iUkaeU+oNbRiilrn+Vv3+To6xZ9Mcay+YtY3rrdO4YuYM5qbnU24tYJ8AVig15nZ9j2RYD/gCJQoKMymg8WYDrgucbmE7Buya9i5c3vkxpoMTkSZOxUuPHjBa3LuZtQ2/jzk/eyZ7r95BKpdi9fzcPHXqIhXMWsje/lw3FDYiMIGknUSj8gs9TW55ipjeTK1quYGJyIg1NDTRPaCbbmGXfjn3cN3Qf7qDLT37yE/7+7/9eXyzQwebSQIkMGVSg2DW4nemJDpLJZpTQAvbhHQ8DcFr7aaw6sIqGrgam1Uxj+/B2Lp97ucamgQG3n5X5rWzevZuXe/eyWH6qiuwTCUkJB9wD/KbrLq7edjVTL5jKwPAAVtliX34fd/XeBbZ58aSepzfimbiZjQ+6jpgCz3LYux+mT4aaUQpJScVJ6ZNw6hy9cy3GJDy6htnW5rSjSoq/ufJveOyOx2ic2IjslAwLSVt2Br4prplKaKbkdS3v4snEXs0uK8TCbcGUBbyn4z0055vZkd7BL/f/kivmXcGJ4sToeZ+x6Gx+89v7ua3n3/nNwE9pGe6gPtNKQ/0k3H0BP++/h2MPHIvfoYVNqIzSCU0osAYsJluTaW5vRlqS0zKnRVUFQpguEFppVK592TWeUAmWLFrK4Aj0lyGwtTIKi6nu6d6DM+xw/Izj+eDED9Jf18+2wrbIAg8ATLHVMHaBD4yAd8DjgoUXMvXxc9iF8dACrYwCaYLy5S5UQXH48GFcz+Xs5NlQhHfPfDdNhSZ29eoqDZdPupxNKlZGylO8e/67WVhYSKmxxEOrHsIreCw+ZTHvfOc7+bd/+zdyuRy1tXojDA0M8cTuJ9g/sF+3xgiMZzSq2veuw9vZX+hjiX025STsPdTJz/vv4AN9H2AS1Z2TIa6gIYVEJAWN02YjKwIGv9r8KwAWZRax/C+X87G//Bjv6XsPT6x9AoB/vPRhXlr7a2CQw0JSGJYEVhwzCjAQmwUyXa2MGtINXFB3AY2JRgbcAZSCl2tsaoegPVuxrwHLg2BsCtIfbRxBZn/vDzyNqHQqlFKBiHJnXnkcDYHhfiHEh4UQ7UKIpvDrD5zg62LUpepotzW7qeSVKAUlArNZdhR3RHGbb3Z9k2c6n8F3fb678ZtsGnoRzwMvABnGFVyfJwpPsKZvDRfOuZDzms4b95pr+tawo7yDrr4ufvSjHwGwZM4SPj3j0ySdJKsGVtHj9fC5uZ+jPdNOr9dL34E+ntz7JHuKe9jj7eHyRy7n0acfZao9lU3FTXziuU/g4LBgxgLuuOOO+GLGjI4qA3i6AKQUMoLpBJKHdzzMiRNPJFABvxn8DW7e5dKOS2l0Grlo9kWYdjT0lA7z4NCDLGg6nstab4xguXAo84UEJ5FmWmIaiZx2KX/+3M/5Vd+vmJqdyjsa30GCBJa0eLL7Sb5x+BskgyQXd1zJhMx0AmBDaQMoqE00UErBnu6xa7lucB3/fPifGWAABPzw4A/5eefPq45xSx41Vi3XN38QK7BwCy4n1p7IJ0/5JJaxOMOlgrhyd9Etgq3/7o/EKrdcLDMlOYWMyHB83fE8dtZj/M0Zf0OP6qF7WE/y9BPOYsDr4/6Bn+Aql86R7cyasAhhCXwpOOgeZKQwglf2EEpEiY47Cjv43cDvWFa7jPdPeD+yVlKXqiNXziESomqNQ3JENC8g8CGfglLO3E+gFYRv6dhZ6Bmt717Przt/jcgI2lPt2sgyBJrYoND/DryA4kAxil0OrhwkZaXIOHW6SIMxJhCGxKAMY1T57O7czX0Hf0PBK2L32ExLTKMuXadJK4GHHWh4OSxCLD3JTXNvYlHDohh6Nu3Jly9fjud5VZ5RfiTPi90vcsg/xEB5ABR0ZDpotVqr1ibwdd6fcMBLwKTkVC7PXk6dUzd2U2EqaChdDkskdGw4HL/f+Xv+9vd/y8zMTFoTrXzk5o+wdNpSftj1Qw6PHOa2G37D5OwclFAoBb4UgGRbcRtf3PpFAjuIng0WWDXVRcazqSyn155OY6IRr+yhAvBdi/691XN0AcsF//84ZvQaxk4hxMeEEI75+jiw82g+eDTK6CZ0le4VwIvm64VX/MTrdOw6sIv1I7oM/m8PP8Sdh76FsiCQgtPrT4/w/MtbLmdB3QIIoC09kaSdwfPADQChBda/7/w6XQxpiKDMEVfyu1u+i0RyzNRjuPXWW/F9H1vYZEQG4Whse1tpG6VyiW6vm//q+S9Ov+l03jztzSysX8gHtn2A1X2rueyfLqP1sVaW/nQpBb/A2xrexjvOewcbNmxgwwYN457cdnIUIIY4SVAIGREYSn6JFftWcNGsi5jdOJtPtn6SYxqO4WtLv8ahyw7RkGqIqLthD6R6u5625CQdM6i4txCmUxJq0o1c1XQVEz0NfXplTXevTdUyKzkLS+ly/83pZmY4M0ioBMfXn0g21UIArM+vp8PpYGb9cQQS9gh4PoANFXkZYRme+/t1KRlPeBTK1W07AldhYeJOJd0+IkmSZMYUHjXzDW3pVFI32PufA18lkFqiuSOxpR0mOOoLwsy6mdjS5t6ee3nwgGZ9zZ48Vx+rStzQeBM3z/8S7zz3n3TVbSH46KSPsrRhKX5ZP/uwbFRnsZOnh58m2B1oWNiGQTnI2txaAieI1xgt+FWFAxBSfT0LRvKGrRWg97MFZR/WY+EDy7LL+PCkDyNSgpfyL7FraBdhknXoeWHH9OewhNLVqatp3tvMhr0bWTf8PMIoIBUQKaYgMIxRAoojPkNl+Je+W9m2fhvrD67HT2vFMOwO88UXvmg8T+POmrp0WHH3Xd94pcuWLcO2bR5//PHonkNo7vr661lWuwyFZPnES7ik8ZKqAILn+QhhIW3tOVoqxeW7L+fiL1xMoTC2zUukjIREJHURXYDOoU4uu+MyZjbO5FNzP0UQBAgluGHxDZzfcD73ve0+Tpx8chQ3DWNDmCRb3/eRtqxSRnYaSjYEYVMA5dPr9VHKl3TBXQVSWKMdfko+iADU67+a6M3AMmA/umH0KcBRUciPhk03Y5yvma/2udfjWLtzLY8PPq6DrzVzWFJ/lsbY0cF/lLYmF9YuZJIzCUtYvHnqtUzNzsf1wfdjxlWNbMYVKYoFj+8+810e7n94zPWUUjyw7wHmJefxN2/7G7Zu3co999zD9r3bebTnUfot2FE8zNd6vsZbX3wr93bdS0DAyMgIJ999Muc8ew49bg+fn/V5rl14LQtrFnLTCTfx84t+zpTEFC5dfClSSu68805QMKtuVpVnpAIVWXyBVDw38ij39dyHF3hcNOsiHMfRNfrK+oUMs8WjPBJLv1R7+nezNf9ylFcS3R+xZ+Rb+rvq0Ud4ZQ/bssn7eTYWN1LwCkgpWdC0gMuyl1EaLNE5so+SXyQQkHSSlFQJX4Blw3A9dO+FfQeJILWo/bPUIjrKWaqY1CUL38zZ2Tfx0/5vM9yX0xWwZZJUOsW05DTm1Z1QFeQPPSNPeQgngRAyapoHccFaBHx00keZUjslmkvZNWVh7BRZq4HljVdyeu3ZXDj1Jo6ZpgkeriCCEz3Xq4othvfzlRVfYY/ao39p6srJpIzXWBnPqMISKBMro0Ix9oyEeRY5oHtAEJRtRCBopBGS8MjAI6wdWFvlGSkFIlRGfqyMknYS1sHGvS+zfuh5ovYjikgxRZ5R4FMu+npOClavX80v9/wSUSMiivny1uV6TUt6f/Yc6OHra7/OjvwOzSQlJuXU1taydOlSnnjiieiew9qSlrBIkiRtN7FnRFcmqFRGkWeUAN+BF3tWs9/dz4qtK7jpppsYHZoOEQSBRKTiZf711l9T9Ir87Nqf0ZxqjiqpCFfwoY4Pcd7M86Jjj512HoENiUQNWUeTHxzhaIUdPkMbbAcKGfBM1/SXSn38c/fX2XZwu44ZBToUUB7FYSi5GuZ7vRdRVUp1KaXeppRqU0pNUErd8EcrBySEyAghPiOE+Lb5eY4Q4rL/7aT/HCPwA71BgOmpmcyvXRTBdCtyKyLP6IB3QDdnC2JBUFLmpZUWSsFlDVdTY9dTDnym1U6jLdk25nqrDq9j9/BuPtL6cd5xzjuYP38+t9xyCzs6d/DMwDMcdOCFw9pTe6D7AX516FfMTszm/r+9n4s6LmL98HpumHQDH2j5AD+54Cfct+Q+vnXZtziz40w+O+GzLGhfwEUXXcR3v/td8sN5NvVu0spoJIbpQFt8hwd3sir/FM8NP0t9sp7Tp57OoDvIY7nHeH7783xh3Rc4UDygP2eip4Gtk1ZWH36BZwce0cKn4v6iV1pqeOhfu/6VRzbq3je+q7ui9pX7uGvgLggMS8iCQAV07e/iJzu+R1epk0DBSDBCt9fN7pHt1LvQsAi8kyDXBHmTlxHS0kM6bAj/VE5KuSCFTUrUoAqmHYOTRFqSd098N+e2XBURLpQf9zRSQGPNRD7c/jnmpeNcG0c5kTIqloqxIrETOm7ham/ibW0f5OK2G0iLDC2pdqTxHHwFd/TcwYoDK8YkRycTmr7d6DVSk9FMjOUzl1OfrI+iuRGsOGrty2hl6qV1JUofDDtR35vn6fu7OHsVA8UBthW2aZhIWjoXzUDS0TMMIUrPJ0WKpU1L2ag2ctdzdxF4Yev6WCmG/1ZBDNO5xbgSRffhbmpEDTIlddkrYbG8eTk1Vo1W8IDlW0xOTSZtpyOFVck6Pfvss3n++ecZGRmJ9hQK7s/dT8kr8e4pH+Hxnt/y464f07Oxh5fv1cmiOmXAQjpaGT12WJN/r1tyHXfffTf33HMPlSNMhrexEKnYy3xg2wPMaJjB/Jb5VW0oysVyVN0/XL+W2Sdw8wW3IGtsljddzknpxVrWWBUIggW2DW4aisZBk8k6zktfxUQxmbpUHcfUHotjp/AqlI4CXF97ea/3IYRICSH+QgjxXyZJ9vt/zHJAP0Dv/WXm507gn17jXP+sI0xgRcCgO8CA148yJd4G/UFAv6B39dzFU4eeIp/L8x/rv8SWwdUUpd6gk7LzeE/dB6iRNQhp4fk+F0y9gEX1i8Zc7zsvfQ9HJrhEXoMVWNxyyy1s3LiRR1c/qrtVCtiWW0+NqEEg6HP7OCl9EhRgactSnjrzKW5behsTSxNJDCeoqdMCS0qpLT9P8MlPfpLDhw/zgx/8gDVda8bAdKHF15vT3Sf/dfpXWPm+lSSsBDkvxxO5J6LOqVHRxhCms2O4QQjdw6bSqAwtPiz93XZs8kM6POu5Hra0I3oxvl7bNQNr+MLhL5DIJ7hu6jtoSE8iADIJzVm17TRISEwDZxa4tRDWX/WlFlQhCyxSRhUM9xWbn6GrfIDLm24kE9RSypei0kLryuvYk9+pYboKZRR6eIFlrP0KJOeiBRfx0daPMsmZxG/7fksu0LihYzuUA91+OvACkjJFgQKH3EMEAqRNZBUf8A7Qk+/houMv4kOTPhQrI9Ng74rMFbRM1BHz5UuW84l3fiJiCUYKSFBl/ZfNcwpqYESZPxkoKJDgKv33Welj2TK8hV3+LhB674TKSIbdfxUIWyCkIPACmtJNXDrhUtoa2pAFSTBSoYzCmJH5d0DcLyjMz1ICevt6qRW1kIirkAznh/lw04e5uFGXP2vMNHLNlGuYlJkU7ZPK9uTnn38+nufx3e9+N9rPKBgMBjlcPowCMol6mmULD/3gIe7+/N0wrJWWEBJpaTLH2oEXSYs0n7/k88yfP59/+Id/qMpNCmE6ISTSBt+GQqnI73f9nkvmXIIQguVty7mu8TrCupHhngo9y8DSXqoK9Hc3cHWPohDaNhCbbeu4T8F4+5aVYn76BOpFA1PbpnLNpLeQSWS1R22Gi44PqvGZ6a+3cTswEV2x+wmgA20vveo4GmU0Syn1rxjeklKqwOveWRx/BEGgLVMBz/ev5MHuOyNBGgaIpa0Fve/7+K5PyS9pPNy8hMlEDXu83Xxj/1e0UFO+7lw6aiXzbp671v6IkydezK9GfkFXTxfXXnstCxcu5O4n78bCwsVn28g65ieP5RMdn2BqzVTmJueSH8xDAO2Zdg67h7l34F4eefkRghotmvrKfTww+AA9vT2cc845LF68mP/4xn9w3czrxnpGAUgh6B/QyuidLe9iXotuJmNbei3KxXIE20CIe0Ngac8oCIKIUhuMsthAW8mBgEwyQ2FES/JIGVlx4zcpLBzTVE4NKqalZ5F0MgRAW00bCmhOT4q9jwS4GTDdvZnYNBEsWNq6NJq/p7wqIX24/xCH3f1aSIzEJWkAftF/D4/23xcH+X3dsydsYldWBX4/eC97unfHJ3Sh2WnmzLoz6S/302vpes4JO6GVUVn3jFJAl3eQHq+HvvJhsHRhDx8dD/HKHgmZoEbWRG9PVP1blqEytp4kOiaC6UYZAi56P1r1MGK8JhWAsPWxZePJb/e24wUe2ZSmZlnSQihBvV2PYzuRMlJSe5Se6+HnfYJSwOkdp3Ntw7UE3QaXq0h0Dfv8BBWeUVQwFsAjUkYhOeHWLbfSF/Rhl42BUjY34sD0+ul8ovUTTMxMjO7x3HPP5ZJLLuHv/u7v2Lp1a9T3SwjB1sJWftN1DwvqT+GimotJ+Smai80waGI1wsJyABvWDrzAFGcKMpB88YtfZMuWLfzgBz+IrlOXrmNycjq2sJAWeDY8setJ8m6eS+boItXN6WbanXaCcoBbdquUkX4JTHqfgqcGH2ZdYR0OMUyHUViWBV4yzjUqeB773D0M54ajvmhKVG3puBTQn5BJ90ccs5VSnwVGlFK3AZcCxx/NB49GGZWFEGnMugshZjGmCMsbY/iejyMc3tzwZrJ2Vlt7lol3mJdfWCJqeBdi1CApGUhiOBhkZelZikERy0rgBT5feOoLPNb/WNW17nr5LoZKgyyf+hYO+QcpFUpIKXnXu97FrsO7GPAG2Ni1mkIwwhR7CgtTC3n+sudZnF6MVdK+vWM7rBxYyUuFl9hweAOyRT+uvJdnQ2kDueEcQgg+9alPsW3HNjb167bflU3fQs9o/6Et1MgsfhBv89AaHaOMDJ1d2dpy9n0fhBiXTSeMYFJoqnKhoPOHfM/X8IyJBeDDcP1EBl39RnXt72LLwEZKqkRA7CWUg3IU4LcsIAND5qLZ2iy3vPsW5i0xylQaZeQC9wKdcPmx13BC5hS+3/NVOvfvx3O9CFL5i4s/wjmnvk/DZ7Z+wbOZLAtrTqDGqgMZ0FnayeBwbMg98MIDPDr8KHMzc/lo28fYU9vArk6jjHyjjAwcWpNoQAGWlUDYWjF4gqhV/doda1k1uGoMTPfL/l/CEQRNuN7K0sU2w1FGU33tRl3yxvP0wcLSx4aw8i8GfgIK6pJa20khmZ2YzSdmf4KmVFNVrliNU0+QD1i1ZhX/uP4fyafzWogOBZppZsXQHKNhusCv8owom2uKOPEbH9a6a3mhR/Of1q5byz+v+2cG1ACO41Bv1WO5cbBECMF3vvMdUqkUN998s666oHTVBZQu8BoIxZ39d7L74G5ypRyqrAg8Hym1MhosdbM3v4MpiSn4ZZ8rr7ySZcuW8elPf5p9+/YBMH/qfK6d8C6SVhIhoCjKfHfNd0jZKZZPXw5AZ6GT9fn1uMNuPAcqCCaWftYE4Fga+q1URgrtLds2BEkomAc7Ui7w88EfsOXwFlatX8VXtn2ZYlCMoMLwWeOB/8ZQRiH3YkAIcRxQD0w/mg8ejTL6PPAQMEUI8RN0G4lPv4ZJ/tlH4AdYWCyuXUyrMwEQOuBrQ5vTxvzEfJCm7YPvR1iylJKSBHzoK3cx7Ov6VVJalAOXwA+iLqnh+N5L32NWyzEc03SatnTMi3r55ZcDsGlkE8/u+h0A0+0Z7CruYkLdBK5suJJskNWB8UQiEqQdiY6oXXFHfQefnvBppmenA3DFFVdQW1PL9zbplICQwEAAdVY9SSvJ/q6t1Fi1vDjyYjTHUFG4pRi2MR/TiseqhOnEGAJDgGb4CFMWJZ1Mky/noayTSCs9o0sbL6M9NY9yr36jtuzawn2ddzHiD6OAfQUtGA4UdqOMPBICnAbIVfrhNtpzoAKmG4ED9x+g/9/7UWUIhCLnD5Hvy2MLOyJmNLW1YLfWanjJ0J+FLfClQgqLVLqGd078BPMzsSFXzpcpyiJfOPwFnhlage9CoU97NW7gogqKwJSOaquZgYVNbbIRpF6XQJl5uh4b925kzfCa+K0z91mTrDki1hBBoaPyjMqAVQa7BvK1UMobgWcZz8h87uT6cwDIpmPPyA/8CNILPaNAwg0TP8LFmYvpyHZwTsM5kIWv9XyNHT3bEUJWERikjL21bCJLk92E7/ok7HSkjGqTesPOyM5gkjMJfNgR7GDL0BZ9D4UyZa+Mk3TIuTmeGHmCnp4eerfFhVgmTZrE5z//eR577DGeX/d8pAgmO5O5rO0t3HXgP3nH/uu59Xe3kivmGOwexHM9JDo+uaNTU8OnJqYSuAFCCG677TY8z+Md73gHQaDjQIGvPfxSKcen7j+Fe7b9nL885S+jHlDrBtbxwMADukRSEHu1oeeKBNdA+Sc0n810Z0bEnPTNcVh63UQK8uZ5+4ad65d8WmpbOLb2eKS0NeRnkEQXbSAeyWB5nY1vm0KpnwHuAzYCXz6aDx6NMnoR3T7iXcAd6DrBe17TNP/MIwi00jjoHWTAHUAKiRRaMElhqmtXWLIqrMUvjGekoCU7nXmJ+TgioVkvvt6clQVce/O9rNi3gjcd+xaECQyHFYNnzZrFlJYprB5ezZ0vfp3pNcdSK2tjlpUwMR9f90txhVYsk+snx51kQ8Fl/NNUKsX5Z5/PkwefZFFyERs6NzAyMkK2Nst7Z36CWXXH0dWzi1ntp3LewgujeYZ5KOWS9qRCdlVgrqFsfaHA94EjeEZgSAmamVYKSgTDQRSfi2IBnh+1OEDAcP8wKtAVGHygvb4dpcBJZqoEs1MLuUTMqKsctmXjK5/iQJFvr/029754L79Zey8vFp7V95O3+MxJn+G05tP0fZj/CaG94UDfFuuL6xjyBnR9kFEU6ivnXMklbZcwKTWJZ4aeoRyU8YShmQtwB10847LYThJPefgqiD0j4v10/dLred9E7ZntBYYbJrGwfSFXzblq7M1VrDFoyzuoVEYBWL5WRm4ackW9P6UdK6NAQdKu00ZJTV30jDcXNnP7ntspBIVqRqQN5KAj28HZDWeTrkmTl9q4EEKgrBimC70kX8HZE8/mPc3vwXN9HCupoVwvVkbtte0syiwCH97b8V5ubL4RfE0uwddN6kb8ER4bfox7H7mXb7zzGxx6Pm5l8f73v1/3l/rZ/0TKyFO6nNTqgScQSA4NH+KbXd+k6bQmpJIsb70SacEzL/6QWqeeSc6kqPjx7Nmz+epXv8oTTzzBI488wsoNK/l+59dRBGza9CS7etbwreXf40vnfymaw/KJy7m59WatjFTcEbry+bghvVtCOXB1i3gRGxTC0XvPzuiSM9pjklEFhhkTZnBR8yUI28aTMf27aI4VbwBlpJT6rlKq39Q0nWlYdf9zNJ89GmV0P+AqpX6jlPo10Gp+94YbgR9gCYvv9XyPnnJ3FUx3sHyQraWt1Z6RFwc2y8YKlI5DSqRJWElObrqAy7PXgqquJ/XIzkcIVMDpc94EWPqlLcUSbsnMJewr7WMg380nj/kvJlsdWMKiz+vjC4e/wAv7XtDWVzJBt6sTKyc1TGIAeLYMfcVhfjbwM3Yf2h2d85JzLyHv5bml/xbe8/B7NIXVVwQBuEGJnp69TJp4HDTG84xgunIM0ykwcSaoq23jA9kP0ZGaqkkDIf4drmf4PwPZOJYugkoRLpxyITNrZ+o6bAIe7HuQjQOrkUld4ig3mDNCTecEnXHcGbzznPfROHFKVfv2RBKKtTGjrnK0Z9qZm5ir27IHME1MY2/Pbgb8PhTgDfvga+gV4rIsUhrhbh6JMh6CZ/vc1/djNvSvjy9SACxYkF1AyS/pZyk0TBeSRQI/QAqLPSObUUB/uQssE7+BuFJ5zjACBRwKoGuXzRUXXU3jwsYj7tnKmE5lOaCSq8+fSOq4Ws41npGjjavQM9pcXIfyoa5BKyPLVBApeSWEFFXnX1N4gV91/4pcVy5KvG1IN4CroV6MAgIitmDotaHgjBnncknbjboyQwU0WAyKdJY7tRBPJqgsBiwCgZ20aatt43Ptn0MMCxiA4trY+shkMvzVX/0Vz7z0DFe0X0Fbso2Hhx/mjgPfZ+3g08x0ZnHZ9MuYaE+ko62DX239KdKS7Ny5nhfX/YorZnwIW9pVLdXf+c53Ul9fz5133klNso4JzmQsKdh/QEPdb5p6RdVzyDgZ6mU9jYlGPn38p5mfnR8/H/Ra+MZgfbbvITrdTmalZ0XKCPTzAp34WkLnLSoMFO5qAojreboShgW+C2uArXkQRd4ontFrHkejjP4ZXYWhRgixGPg58PY/7bT+NMP3fCSSt7a+lRpZCyKG6YAIO7eEhjJCjBohNMMMyAVDrCmtZtgfpjbRQB0NhHXlwvHg9gdpTjczf9JSRIUbHo7F0xcD8Nalf82JzWfTZk/AEhbpZJrTak/TMJ2xGJdMXgIC2ie2MwIM9MCBAx6bipuqes8sP2U5trBZU1rDCU0n8Itf/ILPffFz3LP3djYMriQIAiY0zuagBWvLMdaPIOpKWcmukgIsx6HVnmDo8GNhujBmJAw9PqzILUuSZROWMSUzpcpjbEpOQDoJpJQ6YGuUUWAU4aRjOlA2VYl9jlPNqKscJ7ScwNUNV2tYUsEkfxKu62FbOsG1p7eHX+74JYdK2sqOLFRj4YcxmFNbzmB+5iRICvaWttNb6ouu8T/P/Q/PDj3LkBiKcDBX6pbaV9RfQcJNEHgBUkhsJ6ktYxGArb0Un9gz+vXKX7O+tB5fwHAJyjao0dmNo0YUkzBr75vflXwQCcPOSsMQYz0jAtjn7QbAqtEaXkrJjMQM3jflfaQSqfh5WjAiRugvD/Dgigf54f4fgg2NdY26orlhp0XesSGtBApW963mB70/ICuzNCZbaUlOAhV7RtuHt7O2oHOb1hfX80D/A1oZ5XXPLuEIhCX0vhgahiJIv1o03XzzzSScBD/a/SPW5tdy79C9/MuOT9NXPsQxifksrl/M37T+De+/7P281LWSVX2P8eOffJF0qo43z/mwXrty/A4mk0muuuoq7rnnHma0zuKilmvAEezfv5lsupV6u7nq+ntG9vDk8JNIT5IRmajUUmi8hTllCp38nLXqWda0rGrfhXR9KwHlBJTLIJXuqRa4AY+tfoxbd/8LSoAn9d97cmDvh8w0YMYr75U3+njVfF6l1G+EEA7wCJrzc6VSatuffGZ/gnHlwithEzQ5TTTmmuhFv2C+BTMyswjyZQ3TWRZFVYyqNwsjhZWCArmIfbW/tId9he2QjDPIAxXw0PaHuHDWhSAtBPFmC8f0lun87ZS/5fwzvkD3S4dYXXyRxkSWdCrN3NRcnu95nrZEG1bKYtGxi1g0cxEYgzIQMBJoJVKp4FJOiqUtSxkZGuEfj/tHbm+7na986yt8YtoXGRT6uAlNs+m1oLcT5tZDqtF4Rm7sGUUCW0BBFVhZWEdPpgdBSrPmKrRRqLjC2EPCTuAHPu6Ay+DIIHVBnRY2QnBG3Zlk05PxLE10GCmPaGVmWxEcEVScLxxhXkbBNL7dho6GJiEypcoDev57+/fi1XlRADk3nGPPyB4WNS6Kzx/E8Y5SoNPEz5xyPtO6YHcKEALPFN5UgeLQwCHmMpeVuZVRlr4PtNS20JJugTKcOvtMpkw8ma3HSErlVdTXtWsr2NLWsiVtCqrA6h2rSfkppnI8QUELpOBVekWGMYmwqd2LASSGNBSkkprkIdKaUSfQgk6zPPVnWxqmY+U7ozjb5e2XIz05JmakBJzYejZLOJufDPyYpEiCBQ21DQCc33Yt3YKwIapuAWaUkZACS1lsPbiFg3mfyya8iwnDPbTVa7r6lLopNFgNDDDAQe8gm/KbuMS9JGo5jg2loMTvhn5Hv9WvY46F6oVpaGjgnMXncNuLtzEzNZOkSDLkDSCFxWz7GPBhb2kvFxx/AZ/jc3x75y2sHniSq678ezJ2i46LVXhGAG9729v44Q9/yIPPP8SJXAEOdHZuYlLz/CqyCMCu/C4eH36c+Qfns65zHSdnTo4K2UqzZ13jISIlvgqi/RkSGELwREooJ8EtQ7jZfc9HuZoFqMw6FwNQZVBt6PKlb0ja2NGPIyojIcQ3qDaEs+gaQx8VQvDH6Gn0fz2aUk2QgO2F7RwqHSSRmYI0LnFItUbGQd6gbGA6S0ZNxYQTtzjYld/Egfxz1GRjmO6lgy/RNdLFm2a/qap8UKVVdt2S67h6zdU8K232F3YY3F6BBVk7y5TiFK444QrW1UFbCSaaelTh+zEU9lyqOKdf9rlw0oVcXXc18xrnMf+f53PPPffQW+qixpQCmtA0hwLaui7lId2smYNNsokFtQuqqL5CQiEY4eH8g5w+fTnp2vkcGI/AEHoaCibVtLM4s5jBrkG+uf6bXFl3JSdyIje23YhUKQ4on0BYpJwUI/kRkDpmVKWMAp0bEtrFQgC2zurPA3sHwOqG2XPghd4XeOTQI1zWcxkE8EzvM3gph5StPZQW2njzMRdElSkrlV1gQb8Fe3qg2AA9aY3pS2nhm+J8bt5FBUozp0JShRT4AkqU6C530zLQQtJOUeekcGph0innUgz0nKXxuuudBjzlErgBNckanaRa1p5RcATPqIQOYVV6LiqAfAm6e8DJgkqbGERWQ46W1NdVUse9AhsWnnkTlw0QKaOWdAsvlF/gZ7t/xgdnfFDHLIzich29SMX+IkmVjDwjc+e6BJBRXGE1gABY1LKIRU2L+O/dt3NoqMSU1vm0BC34Dbp9Qn26nlmJWWxRW3AcJ0oWLhVKJNBrG/gBq0ZW6fwqL65RVznOW3oeDz/3MC+6L7Iss4wFrWeQtyxSA4nIZZzZPJOZdXNZPfAk06YdyzXXfobgkSTvaXwvTfUNVec799xzaWlp4Zv3/genDm3j0gV/TWfnJpbMupbRDaXDVg9dh7t45tAzHDfrOOqo07rHQNVe+H5YkuFgmIf6HuJiLo4NvNAzssBNaqjVVC/G9wKUSdbF/Dqv9HP0a/94rbX/L4YQYhnaZoymbfocveJ4pXscXX/uxXGPegON9fvWkyqmuLfvXtzAJSlkVH34TdMuJ2UrkHBq86mUiiVSVop5dceRcbKa4eUCiXiznNRyDqfn5vGAui3yjH6x6RdYwuLi2Rez3Qek8YzKsamVEImolMqchiVY9mZ8WQQHGk5p4B3Fd6CmQlcB/O0wcaH+XLipC7atizJWKCOvrMviNNqNJL0kc+bM4boL38JPHvlPJtZMp6amntqaZkrD4EsouNAAfKLjEySSCRK1CXBMEUcD02VqmvjLhk9jNSXoHLY5UOGxmMM0tdtY2HOa5jCnfg6loMQ1M66hI98BQK1Tyzc7v8WxjW+lvWY+CxsX8uzIswwLN4pbqIAo1qAqrhPGd8om90K5ECbpt2ZaWZRehJfz8Dwd0NdliLTkdQtelMcSrl/kEVgmMOzBgAA3q8sQCSlxDYMhYk4lE7EXgZ7H4UIX3+/7Hu/Y/w66XZ9duT6wTsXzQZpqzaEyetOESxgY6eUb3jfI1GYYRleAV5YuMTV6+MBzLkwdhKCFKKYToA2iUgLkIFhNWkfatXovOZ6OGWGUEQ6QFLgVsYbtI9t5duRZepO98dqb533A28f/9D7AIfsg8+35ILRnpICXBp9mqrggIpdEnpHxlBBwxey3sHcg4Lb9t1Lfn+Pc9C3M7IE2VWBzaTO+40fKSBWV9oyMMgrz/xYmFvJy8HJVSaZwfOTqj/CF//4Cw94w59edT0PdfNKNs9k18GsarUb6VT9BOeCyjrfyrS3/ymc+81My6TReGibbU8Lye9FwHIdzzjmHJ377JEvqL2Ig6GF4uI/21vmMcqIievrcprl8du5nwfQVCpVRmDyvg4QSpWBGzYxo3wmljR3jOOE7UDAMSCElfhAQlDULUKENiaJn8rhGtUl5PQ8hxO3ozrBriNOlFPDalZFJWAovkADmmh+3KPVqSPfrczy55UlaR1o1vo/DMXWLo/hBcmItdYsAG6bXTYcUkIFL269lYwKGbFBFIKk3ZdZpxLaS2EKXi7GljVKKOzfcyfkzz6e1ppXNRRBJh1anvaqPyvNbn8ceSYA6EcdJkhYZikIHLpmgj1EAPlVlQcL3o5i28P2xnhGBrjLQ293LiZzIdeddz88f+jl5L8cNN9wClkCVdYa4IdBR69QSBIFOFEQSIEzZI/2SpEWGbblt7MsrhDV3TNJrGDMK4whKKRKlBMc3HB9VRthc2mxCbxYBsLz9bApdBX4fvETYFA6jjKiwIMEEyi19Kg+ttMpGqEzLTmNadhovFF5iuADJAPAVdkLHjLYNbmHP9o1cNesqaqmN4BLLPPMiWoiPSH0f0gFhWRFM5+bjnJLj2o7jpe4N2su1oCXdytub3k57op0Vu37H+uHtLLJPxXdj4STMsSiiRnaZRIb+QCshvx68cYgZeaCcg6FDoFrMWpu1CRT4Sc2mc4yQchK6LFCqX+/fUBnZCSg6uv1JOF4ceJFevxcLC2GJmA0mwXUUB92DCBdStt6vjQ3aM1oz+AzTrAtiz8gQGAJgTf8aHj/8ONeVbiZpp1k468107DqMV4SebqC2i5FghHnJeTgJB4XCH/EpF8skSUZligDSfprPNHwG0TCW65520vzF1L9ge2E7rbIVX1pR75+zsmdx7757KQ2XmJaZwzdOeojZs05gcBDcBLw0sobJg21jWkgsWbKEu+++m2Jdnl1Dmrwwse2YMTCdlJr15o/4OJ4T9TtTxOkNYGJDlsSWCebV6Xy4UBmFRpZlQeBA3tfrLtANL33PxxIaeQkcrYyUemOw6CrGEuDY19Kb7lUJDEKI5Wio/j+B/wK2CiHO+kMv9HoY713yXi5tuRwhJfPSxzKzdn5kefu+DpzvArrKfewr7QOzGTTN2WDDjsZ0lzScwYHCbp7Pr2BRdhH1Tj0r969k18Aurj/ueg17BJCsqeP6pg8yr35eNI/1e9ezsbgJpaC7dJCt5S2aKlrxNEIvyBXj/K7ewguIWqNDXLdrg7uBNQNrAJhQN5H3T/oUd164gSuv/EsN37ha6IdJdytyK/jOge/whW1fIBBBDNNZUFRFfp//Hb88eDcvDT2jy8Go6vmIitjDxoFN/L9D/4+9e/eya3AXBaWrMTw++Lg+p5C6QKmlKKiCbuJnqPXKr4akwiFETJEO66+55kAlFK5yKQ6WUMaKxAfHTjMtOYfAC9gxtKPKMwqxeyWhKPRnPB9DO9cwnRd6RvlypIyuOeMaPnnj58DWCiYpU8xOzSZTynDh8W/m7ZP/Ut9HOHHbUMhteKZ3Bd/r/R54kErWMFzSVrKfYIwFDloZ+WUoO0S9pZQ0ul1BVoKcAHaTPt5xdFxNKpBJCNs82EbolSsgp8s7LmdRehFSyZiQYjwjK2XM/XKchNxQ3wASTmm8IILmlKj2jMpBmQF/gOf3rmBrbh310+ax4LyzUAqG7Zi1ubh2MYmESVgddpmZncns9GzCMkUIWDm8kr3lvdV9FszYsH0DC2sX8g/z/oEerweFiDovD+eHQUBxuMje3A4c07ZdSggScP/wfWzq2TTmnEuX6moeh8sH2DOo/z5pwnxG1/YOYbpNuzZxb+e9+JaJK2IcQwNVa89IUFZlPGONRe+J2YdS6mdfMHt+eePlHJM5DrfsYhkPMXD0PggUyP/j7q7/y7EBXQ7oDx5Hw6a7FbhQKXW2UuosdM2hr72Wi/25R0qm6MqkGPYkfW4PQ/5QxBDyTUxi+xA8vPNZ7ui5g917dvPNrV+iq7BP5yIFIIxn5OLRVepka3kjlzZfSlu6jZ+u/ylJK8lV86/SkIopbhgIHYgMx3tPeS9vnXA9BNBXOoQCrmq+qiq/JoSUvFEKyvLBzwoCIfHcWMqEyihlpyh7Ok+pVCjjyAQynYjL/7uaClww11qVW0XZL3Ne03lIS0ZxFSHBpcyzpac5rfFMLmy9rirr3hwWKa5Aatjs7NqzGe4b5ratt3GoqFlsb257s4EjLHwJD3U9zNrCWi5suVbDT4a2HCmLUf66sPXz8TDKyPx+8+Bmvnjoi+w73BlZ7CoAx0lzWcuNTLNnxDAbFcVEbQPTmeOV0n+UTqiM9A2WRzRM51gOQgpEVrMNPQmu77OptInerl4IhE4KNV5QqKCFUbQy1K4uUJshKICs03MYHZsAI4QC7RXrChpGGSn9c1JA3cVEWIXj6HbWAqKYET5YIc27QuGl7TQJmdB5bSJWnkKAlTE5XmVTsRudw7YgewJZqynuZ2QMhMoKDAAvHVjFjvwmAkcbO4GCERuEp/8+4o9ELLTycJmzJ5/N6U2nx5Mz3t+K8gp2HNoxZl16+nvYktsSpQsgBDXJRhTwaM+jIKA0UjLKNWQPaoPgg00f4/Tm08ecc/HixQgEh8qd7O3fTCqVoXnCFIZGOWZhgvi+w/tYM7AGmdAvZqVBBvr5lEUZBbww/EL1MRUxo8CBgtn3c2qOZ2JiEl7Ziz0jW+9P6TGmm/HrfLQAG4UQDwsh7gu/juaDRxMXc5RSW8IflFJbDbvuDTee3vE0g8PNBEXJAbGffO9DLLTeEpVaCdBK47jMKZwVHEeNU8OCukWk7FpcBywFJDQs8Fjvgxwz8SItnFwPL+1x54Y7uXTuZbjJbFTOo2S5/LTv+1y651RO4gQ9EVcLCQJ0lQM0C2+MMlIxNCVkrIysBlDSqvKM5k2dx8dmfoyHtz1MX7Evos4KBCKlH3OYMe/XQsk0r/vYtI/p3I4sVewqJAhTDigt0qTt2rhQppFgQUBcDkhCS00L59Seww53B6hYSDUkGwAtIAIJs7NzqK+royUzg35pPKNw/U0MqnJIW8vxkNYcKqPQ4i6M6BJEyiycY6dRLpQ9V3tKSSdeU3RsKMwXUgF4Gc1QEwam80PPyCijqtIvSsfcPOXzs/6fccH+CxgRKToHcySss+OAtg3C0/e2pOEUyLr8rvw7krUZAg/8BgO5Hckz8vXfA4wyEnEx1BACDIfj6OKbSsaekTLrppzqZribhzezcmQlmXQmUkbaUAArqasnCC9uxw5w0dKr2DwIeWOMAFGcyBcVlTzKZTLS0oLUeOBFB9y8tvbv7b+Xa+xr9LE5F5VXCDu+k7SVZq6cy+7iboZyY/HLwNc1Eo9vPp4HxYMkrBStNVO4qfEv2Ge/wMrCSsq5svZyZayMAhvqrIZxGo5DNpulvXESh0r76Nnfy5SOeSQa5ZjKnmGprEKuQIIEwtHzjgwy23jXPgQyMKEjw7DFwHS2YTxa+t8Fs/6H3P3UlZK6xYhwTCkuKFpgldBElXHm/jodt7zWDx6NZ/SCEOJ7Qojl5us7vEHJDM/tfo7d+e1gYkbHN5wWxSxCZUQAdakWpiWm0VLbwtktF5N1Go2FC8IQGJqTExDS4tHh33D9S9fz7V3fpjvfzQ1LPsTqIejqR0uPhKTGqsNx45K7D7/8MC8Mv2jKiOhH8Puh349RRkqBa2qohb9DAUlIy1rdOdOMhEzQZDWRclK4KmQrlbFlgiAltGdkLFu7LkZBhC0ouAUG3IGIHRXm4mCSRdcOrmbryPq41XSlZyTMCy/BVwHD/jCFwYKGiUx77fUj642S0RDnzPpZTE52sK+0yzQ31DBdJdutcshERcxIGY8hiHO7ljadyrmNbyYAbpz0fmY0LOT2rv/g6eHHcYQTCY4qVpNl1lVqT1EEWhnVJOpJCC223IJpbV1R+gW0MrKUqcCQd9l1aBs7Cxt1jlToGdkVybUmZuQoB6dWw1SW8c7GhekC7VX7GIVv1jkMkKtRb62UYGX0vMKUMATg6GtUOOVsy+msDEuN8owAHKHXPoCkIYEAlGbCYHsMzYHZH1J7/aGgDguUBoYIEwS602rJNOdZWLsw8ozcnMuXH/syv+//fXSdgiowHAzzifZPsKhh0Zh18V0/qlQyyZlENtFMIKHJbuXkzMnaM8qN9YwCG57LP8e2/vEzUqa3zGRHfiObD6zizZffjJOFEdPOPVpjUyl+aHBI9wAzr54yBpkwXrHtQSZTjxKjlFGF9ySlfjaegYkf7r+LZ/ufMcrI1gaeY5SbyxvKM1JKPQFsRqcB1QGbzO9edRyNMvoQ8DLwMeDj6FpDH3xtU/3zjiAIUEIiLMm05EwmpKZomM7SmyKEiQ673awfWY9f9Cl7ZaRSBHYYv9ACdUbNfHpLB1lXfIFf9/6aWzffynFtx3HqjHPxRqBvUG9UmbS4tOkG5qfmR/PYeGgj+8ud6JwX7WkVVTVIHlnhFlXUZ2mE5rvaPs65zedGx+8/sJ9nep5B2jIq4OkaZaRMGRIkWIFmYZWNAnh68Gm+fODL/Oe+/4yUEcoIHuMZHSweYGturfbOZDg5or5HoC3mnlIvt/bcysZ9G/WLaTyXNbk1+iATM3LxuG/gPp7se0hT5is9IxEHg8MhnKigsVbQFgTl+PyqIGiyWlFAoaTR/o6a2aRljc5jseL1Cz0GpFZGSWGUkREAl8y4ibObdKXmBAmmpKaQTukIcuhFKAFKCYTtUMiX8YMgqlAQHSSJDIDn+1exIr+CGllDaD+EiiqMf4VDAbmyhpYiWDH0QsKY3Th4RqZFx4ikFRNKhKGrV6anRB4DMiIgmEdDINCtuQPoqO2IPlMJ3ZrqNVqhGxgxPGfY7ytwjNUfQDkLeZMXNzU1Fcd2SIgEft7n5JaTmVozteJBw87STh1bGSenRle6kGzObabH62Fa7TEcKuzhKz238NLISyA1XVxnScTKCBueLz3HusPrxp4UmNY8E4XimMknc+kl7yORhEIdjAyOXbehoaGoGnm4NkIQPXvLh8nNx6BBlNijDr1lzPEyYWKcCs6dcA1Ls8s4tuVYZtXOxzLxa+Wbz70xWkcAIIR4C/A8cB3wFmClEOLao/ns0cB0Nyulvgp8teKCHwf+4zXM9c86fD/QAU8h2VvazfRyN8JqjWpshS/dtsJmdg/+HrbB93b+gjOP/RCBPcG86IL3tXyCYlOa+3f8HQBNdhN783v5znnfIRCaoTRoPAhhkhArdY3v6qqMOplRC/zzm86vmmvopbkVykgRW1iBoAp/2XtwL490PcKS7JI4j6OolZEfKiMBttLximIa/ILOuUIZ4VRpKVvoOYYXRsRxp0qYThB5TI7UVm9hRHtGlh0m5xihKjVMtz23g16vl0UN11AOFZw/ynOpGMI20JipOOmFysh4Rmv3v0Qxr2Gnnx/4Madm388ZbZeyfqRMv9irPRDi80vH3Ieny+kEKbRZlgRsosTemRNmMrNjZnVvIROb8gLIS5vDfR5BsxaShJ6R0II7VEYlpYkQH27/MIOhojBmYCVbErRH4ZV11Ykgp+cSekZeOIlx3trmSaCuMz8Y2FQk9b2WK64RejGWiD2jcM5KQFO6mZagibZU3Cwy2hNGAekTEBkvdngzAbriiK0riSeLoLJQMA90wBtgSdMS/n7C30MCOiZ1VBEVrl50Ndm+LHccuIO5++eymMVV9xgWOvaFz4A/QEmVSaV0rs+KkRVc03gNdkLnykmrQhlZUJOsZ2hoiIhxUDGOnbyQJqeNv7r6f5BSkkhArhaG90OdWYZ5jfP4y9a/5LbybdozCmNEBkcVxkiTAnzpoSDunEx1zAg0nBrGKyfUTqXFhTmTWtnXCBsN2UF5xtM9Gpfh9TP+AVgadncVQrQCv0NX7nnFcTS3edM4v3vXHzK718vwPK0EkJJSUGLtwDORtedX4OfK1O9yC5ra64SCxtYfL82vpzQ3wZrex2ixJvC9Wd/jQ8d8iBuPv1FDKwqGQ6vRgR92/ztP7I89Vd/39cuitKcF6CKtFSMUnL4RvGDiC8Yzemz4AVZ0rYiOP2XeKfzDjH+gJlmDq+I8DttKECRjz0g4YKegnAI3H1t8UaUIYmEppIj6PAlhMHLjUWHmh4iFrm1p6KqQL1R5RiFsJCzdUDBla08jZWW0RW5VwHQwBqazLA33uCaO4iY12yws9Lqp72X2eDs5o+5i6q0mQHuyJVXGwaHXgqfzOmFUBDFMRwAyrSGuwFjQz3Y/zNN9ultt1G+ngsYbCuaSB1I45Mtu1FkU2zw481aFBAYMWcDHJzC5JiG9fHSaUQFQJR3X8+X4MF1whLdWGNZV6MGKpBZ6lTGjsARUe6K92vgwCkxaFp1uJ77wCdBd0UKFJQ15Acw9hnHMsE2IMkrOKHSrDLIB8pY2dFYNr4oIEEF/wEhxJGqYCLBw4UKmL5/OnvIeuke6x9xfWM4rLFu1YfB5ajJNTEpMZVpqGsfXHk+9qo/nQeyBplP1DOYHx/W4lkw7lX+Z/1PmTDkRiAkhQxXkkoSToMFqIF/M6zJHZh0iz9IKPUPY0r0SBVHs0a+IrUbPIWWM1QD2lnawr7CXcr6MLwJkYAwmU/LpDTbkqDbjvRylOn2lCgzXAzcAM0axIerMBd5wwzdu/imNF/Lowe8jTI+WUBlFMQsDnbkFV7+ESkMwvtkYbhq65WF2DK5hac1ZrMq9wFcv/CopJxXRb10FCaOMCuQpuLEJ6Ht+VLMuhMIeHXiUd/LO6JhwLoGIGVeRnLNhKBgkV4p5JFJJJFLHN5SuJl0uaWUUwnRKAGktCItJKPTH3oWH5CkfZrtEMSNhyBVa54ixBAZjUYMWfrapUlwomJiRUUYNiQYOqgEcO0NZQjKhA+VbcuuYLGZpRp1XQWAY7RkJ3fDMMwwGPwleCWxDzLhs4lXUBgtJDQhOqz2VXWm4Y8vXEcU+5iU6yEso9kOfRZQXFQXgM6aagYmxeMLFNdJ+5ZqVvLjzRT40/UMIRFwnTmiZJoWNa1qICKQ+bxCvSSgILYObrSquYq44S3ui5tjRZLqQvGDV6MTIwI+92hCmU69CH5KWgTuTcbwtHJa0EAiua7muShmFsdMhNYQf+PTRh08rG4agPdQ1MvbohB1De6EyUkonr0YQk4BEI5QTSY6fuJCl9UvI+TkeHnyYGVtmcN/q+7g6ezULWVg1f0taVUzRcISeUdjqxLYS+I5iKBikw5rILncXQ0M5KskzQmgDLJWsp2tgiKA3QE6ulo2nTFvGpCboNcQQywJRQxWjrq/Ux0vDL1FKlqitr41+H7aPiFiGEjKpWvIQtX/xQ9i24rIyYYwSAc/1P0KPW88jTx2gvncu05rfHCmhN0h318rxkBDiYXSHB4C3Ag8czQdfCaZbARxEU/Vurfj9MDA++Po6H76vaWkT0lNJWzVIGSsj43RoK9B0piwXNLzioNsRCxNruG3Tv/HA729HoZiVnK+9ABOsN0iSZkJ5etMJaeEFQcU8tGekBa8JjAZDVXOtFHzhexl2YJUSLmm5nnn18fFbdm9hT/ceGpobAB0gbk604CctcPQLlkmBqNX/9pOa8RQqI6Uk+V7ImQQLYWlIJ+qAa/rZVBIYRseMQliiWCxqgeBogdBR00HBljiJNEXLeEYCtgyvpUNcpanvQUVMbNSulBI8R3tGCm0UuDmwa7Rn5HoeQVKw1d1Ea74OQQeY6gKNViNlSxsbufD8CSJqMhloagd7NmDD6dMvo9E0qquxa5iQmFDFnFLogHipDJZwdD8lP0BIh7Br8GjPSBlXr1/1V9PX/bHKqAjggVVr4MgKZeSZZzHacxwzQoc0FSujkJGpK7Pr/6IKDGaNAwFv7biRw6U9ZDNZDgLlIciFSty8K6LiGkrpitYzEzNZp3ZiYaEMxCRtsJNQrBVcfubVOA0wPDTMfnc/DX0NVDIVq6Zv6c64o4f2QGXUlLCjZg6DXi9DwSC73CJbcluYmZlNxqrRyehmCBuSqXoCFZDbkSM7OVt94sDshYqYjtNgvEKzbn2lPp4aeQqsuABseP8C4qRXG1oaptAjdOdjqHiGFcOyIXBA+iCkTno9s/1Mht0mbdCkDJScGoMqvq6HUupTQohrgNPRU/+2UuqXR/PZIyojpdQedN+i0/4os/wzDxUoVKCQ0uKA10neH6FRGWtf6ByOWBkZmK6oAQ6JYPICEJMgt6+Pb679NDNajuOGBZ+lsUubl1YEt+kN7DtAEawkCCFxg7j4pu/5iLD7pUmiHTPf8EsYjwDj7ld4IpU0qT0H9/DC0At8ct4nWdC2gEyQ4eIZl7FjL3Sb+EXrQuA4sEOWk1tpQWrFUwqMBWziY1HMSMQxo1BThoJXCO0B5KUA26FULukSL0ZBK6EY9ocJlEJZAseOW32HEF/IZhTjeEZS6jpuZVdfLzCQnWfrnIxHDj3EMU3wzOD9JIGLJn0UadnMSB3DNa3XsMkoOw9wAj3XEMqSNfoZcYa5J9soWx+Om3Qcx7UeF8cHzP8CWysNSzq4ysUKtMUubHNQhTLS3oS+oTNaz9DJlEawSzFWGXmA8IGUITEYYVgJob5apFeE1O+UNjzKDrrydjJ+3j/v/TnXieuqYoRKQLa+gYl1DVCrvT9f6K6xYRmlcC6VRlx7XTs3Nt7I2pEvRDCd8gADD/sVBWHr0nV8bOLH2G3v5qngqSifqXLY0h7XM0raSd37y7JiGMz0C0uIBDe0XU9tcwOnpxsYzOhK5qAhr0RaW26DOwbJnlWtjO5Y+SMGDklOtd4eh8QympYelKE/BcmGmbyv6X3cXr49ao0BsUEWeaMW+NLVMSPDHPQr9kQ4pNTKSKDfPV8FnNx6Mtv6YK8ynpOAIPPqtsfrbSilfgH84g/93BsrNPa/GL7rmxiH5MWhJ4wg1PBbpWekd5GNCowyUtqalCkQ7bBnn2a1f+Tcf+dtCz/HcTVLtKA2+RIhA8qrBcvTVri0LDyjjOLusfolasjq8iQz0zOr5htCVkrG9csCg9MJAY8N/Zpf9/w6Ot4re1hYJBIJaqwaRFFA0cQOQh6B1FaiZWn3v0Bl6wtpsumjH5GO4IMtn6bebkAgtAIxUBHEL6IQ2qreJ6HgOUy1p3N169WRgn556GVc5VKmZOJudkRPDgV2yGYcHeiNjrG1orTRymDEh7W+w/GJU3F9lwOlvZzUsNxkwSuEbfKFrLhTZhC6rXYsfMUo2uzKAw/xm647IID8oXyVcomNFS2oLWnjBp6BXXVcMaJVm3lr+Eavgye8qioQwh4bMwrXQCb0fSqfmMAgYgj1lUaojFRKCz03Cb6JlYSVBGqt2himU/Fc/SxwMdBieiIFOvlSmPsOE1NDyE6ZuUkkH576NxzXcCqGx4IyiT1KEvWOCokPYd2/QjIxptpB2Bl39LjkhEt4X/v7yCtdWmnz0Go8oRcoIRJMr5lOQ9AQezpmyAQ4oTLaNTjmvHNb5jOt5pgqGC2MUwZl6AL27JNMEh383eS/Y1b9rOi4yndAGbJE0JjAtyBdo2Oj4XtbOcLEV2mBtCS+8ukd6qUQFCNoUQlQb5BSQEKIp833YSHEUMXXsBBi6NU+D/8fUkaBG2iXW0hObb7YKCMRQW+hnFKAsrVnVC66sdIyY/c+nVU9e8JJSMfGlg4JEgwbAeEF2vUu14JU2t3GkhFMF7WSEJYpQWMjhUVSVluIoU7wbe0FgLawQvZav99LV6krAv11XSuLPr+PR4ceZaB7gB+u/A6rB56ueskgznMoEwd6Bbr6QlkRx20sTTKQRoKE3kQE00G0g5Qw58OhwW9gYd3CSEFPq51mbtmJyApnzl3OubPfEVv9gRHSiqpCqeF8A0vHziyphfSgDUHB5qzExaTIYFkJMql6jWJJG2lZ7CxtY+XISsqGteRDVMSU0Huorb6Wqk+wb3gr3at6uPX2W3l26NmoqVnoRShLJySe3HIBp9dfFMeMjACpyieR0Of3A7CntCdmr9kaxhotcn0MdGMbmM54RkgdM4KxMOboIUMPLUlUlNMzXrRl6Rtfnl0eKSNjo0XFezGJs6VAX981z0WEcY/wHs17013o5uu9X+fgyH4SMhEp+rCqeGXVDgT8qPdHPLb7MQhgT02CTXuq529bNp7nUegrcM+n76E4YOKtRpOH9yCQpLINpGqaOHnqJTxZ3MSz3c9y3+E7GPb64/VIgJ2pR0kY3D2IquyDAixqX8qx9UuqpKGUWhn5Zf2M+ssD/HrgN3TluxC1saarhGUxRlPLwmO4/JxbSE/ORM90vHfQTwAOCGnh+i7feOkbrB3QJA/L0s/tjVIKSCl1hvlep5TKVnzVKaWyr/Z5+P+QMnIsh48f/2nmNy4lm2jGFo7ODTEWYaVnpEw8p1TUMSOrYift2vsCHbWzqU02kvOHWZN/jmFKrCxBbkjDfSkPgjRRRryoqHfml31sYUcxo3wwoq0it5oTEnlGTiywghBiEuh23WFmJEYZYTEUDPHUyFMM9A7QbLeQcurGJEmG9d58Ys8oVLil0Ko3kMyK/GP0u71RzCiMIQExrdVYha4CIR0Olg+yt7A32l0dNR06mc/StF9fwbIzl9NwzKzos0pVeKbjwHTKBjwTYjPKyA+gIFzybh7LSrDN3WiElY1lWn0EIqDkaQXmZXTMCMfAZIoxyqh18fEQKH75uV/hD/t0tHVEnk6oSJQFJQktqclMcCbxjvkf4oIJ10UeQeSJGqGdTbcA0JRpimOBxiAY7Rn5aJhOmITVcI3Dvyl4VdymqQVqpgCJWKiVDaXupJaT+FTrp0hZMVQKsTKqrD1Y8uLfhdXZI6/MIszXJuEkaLPbWDXwDF2l/RF13k9TBcPqC0GyIcnB3oNQBiUTDA9XKCvizrgvPPQC6x5Zx4qvaNboY+sf4+G+h5k5aSanzz6bE+deguXYLLvgY2ROmsUDBx/kuUPPMewOEoj4RqQNZJKk7BSDBwf58nVf5jf/8Jv4PkslyoFb5XGGZYR8V9eYHFF5VhVX8f3D30el43OP8Yxsoh5plSkQ4zFEAwdDBNHsXgKQlhMZnL6t2Z5vpGGqdr/q78YbR1RGQoj1Qoh143ytF0K84QgMQglSUlvQ+0o7KSs38oxEhTJSgEjo7qNuKezlXOkZvci8piUECooqr7FrwMvBSLeO79jEdGGRQleCNjhFyknxmcWfYVHLqQgFeZVDCcZXRmghHFJzK7FnYXoujVZG0xqn8bkJn2N6YjpvnnIVs+tPGBfWEZZWcralSQAn1p+KQgvZmE0HLxVWsiBzAsuaL47gOGW8mKh9APpeXR8WZE9hyB/iZ4d+Fv3ttMmn8fYJN0f3E3pBYc5HVcxonBdXCANZeQabt2HE0p/5z/5/NQrIYU9pW6SMhGUx0ZnMqU2nUfbBkTq5FQAbrIQu7zQaBkl3tNJYM4n9WzqpLdbSMXVU8qe5h5LUxTV3jWwBN65Np0KhRCygJk+Yx19d+VfMPm52VeKyNZ4yCoxHbZRRxM4TOn4TxpteaSQSYJ1LmMWgi6UazyhhJ7h74G7u6buH8BGElGQqvF6FaWFgvDMUcbVuqKJ216fquaT+Eg4U99Ff7tIQowDGU0bA1RddzdTaqYhhiUikyCepqnZgWza+75N1suDCcaXjAJ3QPOTnKVqSM887B7slgxRxDE9YNh32VG6YcDPZZFN0vtDL+YvpH+WkkZMo7i+y6peror//5IXv82j3PdXQXrhurimka9pCFIMiIlXhGUGkjBBEzFXfxOkUWmGN9vZtW5NySGhl5Pra8BXSBqnp5VLyhqq+YMaCyh+EEDaMShg7wnglh/+y/82MXm+jlC/xaOdTwHw2j6wGiKjdworrngFks+3cUHsTNJUo1NZjCRsPGBjopqd3D3OnfBQUNNZMYF56IQNqH76Asq9hOmFBIqsD1NJsNi98G82FAqGFUqamAYAT6k6omm/kpdk6aTGKIZuYkVZw3hhlJNJCP9X9Gg4LyQijh7D0+c6ddC7n9ZzHniy8RAUkY+IfH2z7WxrqYHcYvJbE2jEMapsXsezB/PqlnBvMpNw0EinO2mm1uPW1qGFj7auKWIWJQYR12Coz1cMhpbY0Mf16hMlj8T04qe5MXig9imUldHUDpb1GaWlv1Lf0cUkL+jJEFNvWdpBLxq6NEDBp0kIObDnAPGceonmU4EHfsw9sGn6RQ/1bGN7Vicy1IuTCGMIijsN4QHZituq5RjCX1M8pnIfvE8E0ykCaIkGkjBSvDtONXrvAMBED4GDxELvLu5nmT6u6pyqYDhNn87Q3aQ8TE0tkvIZR1W8B9XY9H53yGQ7Xww7bkEMysTKq9HychMPbr3k7B7f2sK02SS6AwjDUGsMgm8iSF3n8gja2kgc1hH3JcZewfzWs6YKFbXryQmg4s+CBEAaBCNe3Yg1cBzKZGtbvWAMJaCm3RMZQ2DZ+tGcUWFoRuT66lBVwXfN1VRURghC+DO/TNsrIikkblXHHcCQS0DbDQLJPSsp+CScAaap2Z7PAqaAmRjbd63oIIf4O+HsgXREjEmj0/ttHc44jekZKqT2v9HUUk/u+EKJLCLHhCH8XQoivCyG2G4/rpKOZ8GsdpUKJ57uepbfchTBJc7Nqj4sYMJFnpMCqSTPVnsG8zDGc3XgxlmGFbd2qyQtzm5eYewAPDyG0J1VWptaYDW3TIPkmfUx73QzaEpqokBvMcc+Oe9hb2IsIQNm6qOKQY7G6SFU8RhHDdMr8MiYjjOMZCQsS8EDuAZ568SluXfMltg6vG4NXQ6yAhSUYDoYZ8oYJKyVEAWpj6a8aeo7d+a1Ry+lQcUTWsoHvfB9GRAGHBFMTU+PdJcGr1zuz0gsKi6KGXXSPRGAIs+hVCLEZ6nAgYV7NIi17rAT12Xb9b9vCFWW6vUOsGVmP8rWlSUZDHwC2A/L4cdZFQPOM45mYaeekKSdVCTVVMT+l4MTGs7mq+d3s7N1Gd/lArKwrlFG4zlXnMILdsrR1XNntNTRmwqoWUXJZGNcMDYWjHGHMyPV0e5Tneru1B6xK1fMZpYxKmDVOm2N8QECmJmoaGyEKQ+4Q/3Ton1if00aetLW3ImvGV0YAiUSCtuMmaWTBgnw+/tsVHVdwffP1EcnhRfPehVU6Sr06zyw0ZpSlqfbSstlU3MjPDn8nIjmEa+A5sKW4naFgiLZcG5ZnRfi37/sash8VMwrXrRyAsqQ2gPCjVhCY51EJ0wWJ+HphIrcax9sHSE8FMVW/y+WgbJSoHZGUxORX94L/mGM8mS2EaBJCPCKE2Ga+N473WaXUl5RSdcC/jYoXNSul/u5orv+qMSMhxKlCiFVCiJwQoiyE8I+SHfFDNC/nSONNwBzz9QHgv49mwq91ZGuz/PVxn2VOwyKwJbVWPU3JCVVsutBKLMoi690N9A71UvbLBFL/ZcPLKxBCMKtxkY4pBQX2lLZRn2jVL4kwVFxjHTFRfz950kUck1zIrid3US6U2ZfbRz7QTC0/oXSLYSvg8AEombhrgIlp2NWlbMKYkbBGKSPXx8YGCzZ7m9m8bzMlt4SSctwXQRqIaOfwTm7tupV7Dv+4Kj4QWniP5R7k0f6H2D2yWcduKmA6RTVso3x4ov8+vtZzK9uGt1XtLj/QCX6h4gmFYOg9BIqqKuCVI4y9qMC87AnAA7cGelQPSmk21YnL38mZC9+L1yBozXZooYunacYZ7a2qV6NFC7Bqa3jvFR9k8qLJVX+LPDdL33zGydJkNfP2aTezrOXiWPBWzH+0MqqEIkM4J+/BYMU6hTEDZRJjIwhIjK+sX2mEHlYJGAEmBcfTRBOtidZ4PsReb6iMymhlJJImtuHrOTe2gnNDfG8axZZ4yuOR3vvoLR1Ehp6TgZjCclujR5QGISFXWSbCeMth1fQd3TvAhXuev4ff9z+oE9TNCyuFvr+grGE6peBwaT/Kif0JKbVRd9A9zIbiBlqtVl0LMuRFBIGGWUcpI2VpWnvgE5Xtenrk6Zi0Y76in2X87geWNjKqPOFxhhCwcOLZnFd7SRwzelWp/CcbP2SszP5b4PdKqTnA783PrzSeF0LUhz8IIRqEEFcezcWP5ra/CVyPbrCXBt4HfOPVPqSUehLoe4VDrgB+pPR4DmgQQrQfxXxe2zDMoEAAtmDIHyTnDmgrpMIzIoA8OX6V/zl3brqD/97/z1rQKsWjj97B/GOWk0pkzQYL8JRLW3q6ViihoK4QFqGFtbbnOX78sR+TfzLPxxd8nBkNxyADcOozXLzwg8xZdDKBgFIFcYiAKGkx/DmymqShLo+C6RCQzWTpHegFpbPUx7WuLC14hvwhULCoflkUMA8THIWEbcWXOS6ziLNaL4MKxRHCbCqEKIRWRvMal6KAx/ofG6OMBIxhLgorjkP5oZU5aleGggERKyMlQGXgl3236TwTmcCqS1PbOoUgDTMmHK/P7yS0hZqCCbPAOe+Vt0kIsYxnzUaQlqP/ftg9wJrhZ/GLQfTZkFEVnc8eRxkZZS+lriyxU8BLB7Tw8owBUukZhWsMjJuH9UojFMRldLt2V4AX+HFxU/O/iCVnPJgy+n1xUloZQcV6hNcXIXQcnyvv52hogPrJoBqrjY3RwzcL4js6ITkcz/U9x129d+HmXUQgeH/N+6EPuoe6GfD6taA3myjMcaNMlC4BIJ344YWVuxdNXsanpn+Kuvo6il61MpJSVhkRIWkm6nll6Ty8ETUSHROuXZTeIImqtQeWRgqi9/YVlFFjzQRa7AkG+bD/bLSyI8jsK4DbzL9vA658ldN8XikV2lYopQaAzx/N9Y9qWyultgshLKWUD/xACLHiVT/06mMysK/i507zu4OjDxRCfADtPelOka9hDA0M8eu9v6eu9pTI09mR28AceUaVMrJ9SNc38K6Gv0C0DrJu+DDCFmza9Bz792/n0kv+nmBEey1S6oTVnJ8jIXRxSAL98lfivJ3Hw7x9y7isaxn1e+u1RySMtWlD7cR2aIRgMGY9RYHuhMHvIbKwtKdQ7Rm9/eS307dNsV9AXaaOzu5O0/jMiduCV66pEZInNJ/Iie0nsikLLyfAyhMzp3yi0vm+LXEroJxwPiGkpATgwcSamUxzZmBLf4wyiqpPi1gZRb+DcfMxIIbpPBtWHgfTfEhLXaXAt0G5kBAOrtnNytZlfQCwHC0IM5r8MKrr9JgRWbXlsX8LFYkwZIrO8i42Dz1C166dtNYeS1IsGhOjk1Yci4zOEUJxgZ5/LoDisC4z5SdM9W0Zw1uPL4RsGZrUH66MwpyVstCEhG7/MIP+IIO+lhch9BiEz9Z8roR+zk4GCgnjpY/2WI1BI42gBpDCwraJkoiFH3vDo0fkGdXBSH/FGokAL/Ao58ukSOkDO7X3L4QV1exTEMG8ykPnr4XnSFQrI98GNyngXEitTFE+VNb9lBCmGrhV9dyE0OtcMB6/cnTqw6zaWdEx4ykjkYj3UBgmViHScIRn1F3Yz4HSBpSjY0a6FfmfZNhCiBcqfv62UurV4jkTlFIHAZRSB4UQba9y/Hiq9Kh27NHo4LwQIgGsEUL8qxDiE/xxOB7jrfc49hMopb6tlFqilFoSFd/8A0d+JM/L/WspuINYtjb1ZtfpoEGlMpI+yLRNk9PK7ORsTsqejpLw8G9/RDKZ5uSl12jvShF1nHxx8EndwyXExiswZSHAqwPVXk99tp6u/V38aOuPOFg4EPXQCYV7IOIW0ZHQShBVFA83Nei+O82yJcK9Ld8il7DZsRHqUjpYjgeWnRi3woO0MEU84aB7iB63m8AEnoVHbMkJwfqRl3gm+TIrGmIBGXlG4bnNSzukhthb3hNVhQ5HoIjybvwKoVfJyqqsMFE5Qip6PgVbmmCjCcrbWWjLTGVycgZTMjOjuIeyYMXu+02wP6HrCx5lvkaE/Y+muREL7rDSjEzof+zKbWPQ64k/W/lWxaGJ+BxGoYQWdL6kqyS4odURGhzGizxQD4fMm9GXhcE/IPdECA3JltB7K6dyoKAQFKL5QPxsKmE66ZkaeaH9Z/ZEzob7J5oqHgkQFVQxW1a7ANGajPNme0DZgqAmRhUAlrUt44amGygXyhTcAncO38n+l/brhHEhNTkghOmM1xwIkHZsdUknfgihl+OFUGOmkQ6nA7dfGyxB2AJkHJiuKAEfrMY6LjzhfVx+2uXRMRFMFxpklt6nUXsQryK2+gqe0daB1byUfx58kPJP6hl5oRw1X0dFLPgDxwtCiK8KIWYJIWYKIb7GUfa/OxrJ/g708nwE+AQwBbj6NU81Hp3mXOHoAA78Ec477gi8gCAAGwthWyREkt5p9Wyoh3lWHDOSCnzH4/niKmb1tZD3mvHI8thjd3L66VdSU5vVlpgi6m00ITkFLw3FEiR8CJLVXrmwoCwVd/b/jPSONDuHdtLaWCRpPBCFIT4oDaVABXyS1ALJDydoNv6xbcs4/fAytj66leSMJHu37KV/qJaahkXUJOq0IvDAkgkKCS3s6itw+TBesWd4H9/v+R6u28yJ9kd1fCAfQ0Nh/tHhwl66fc3aVBXKMSoHZBT0puFVBCrQjcUqFEukaCric0oZb8V4imHtvfGGsLV161lwuBlqM1BqBenYeAUXyxJxK2wbJjRMpZNDYCf0S14zvqWTs6G2QltEVORxDo6eicmjCYktukmvjGNGFcaItMf3jML1DSzwc/reyr4RyGHM0XiDvoEOUbBpGnTV6QrGRztkAvKW9iDDwryKGC4VSgvzwMQMwSQwuyDqtDLKZeDRyXDhYTiYgs0CmmxINkF/r4HpFFHrhqr1rFA0lcMH1k4HvxYa90BQAiuN3gMBHNN0DMnaJM/1Pse8zfN0pQt05ffQ05KhJyuBhG28bQuRiDdfuM7h9p8y4QTmtZ5AwnAcwj5JSsRbNjSAQgPTT0Fdewf2xHj+lZ5RKqVjX6Wsfn5eEgquEbCjoPvR44TJy2naPZ+g+TD5ZP3rrf7PYSFEu/GK2tEFKV5pfBT4LPAz9HL+FviLo7nQ0SijK5VS/4FGWP8fwB+pn9F9wEeEEHcCpwCDoTv4pxi+5+vuoEISCEVJldgve3ix1MI8qV9EPzCQRdLnsfzDrNoLhXKKBVMvZni4n9NOuyzGhhXYtkQIwcTUDPw0eIO69lngVO8naUMgBTu9nTT2NZrYixXHq5QWfkrESachJCQTcSY+AVGTP90dVfHTb/2UhJugbVob5XILM5xF1Dt12hrzwLYTvDQJ1tfDe7p0vg0Q0aXznraQy0Eptu5AC8SyVkYKQAgdSxkVMzrQoi31BiPIRDKh388KFydUXCE7zws/TxyreDVlJI0i8h04WA/O5eCOwGF3P4lSiUKQR9gZDTVZ0NowhU6eRzkOlmGFjXa6upPwizZ4UydMMxPqN43V/HGinRFMZzwFy3hGCg3ZAlHiYzRvZ5QyCjVxhQWtSuCloGRo/8qJYTrXNnvTnNOz4EAC/BJhI95XHSKpW4YnPQhMsnXOhueGoTlDBLeGMSAwpZfK2qsPHBiqha1Aiw8Z42l5KSi0wOEeEXnIlqwWKZUe3ujhoytZDCegWBPTu1/sf5Fnu57lwzUfZk7LHJ4ffJ7+Hf0EQYBlivd6QcWeCqBzIjSrs2k4nGO3ODAmboulk7IVsAOYnIdJQ+Ez0QSG0TCdMGiHVKCSYxshVkLnySQkLoB7pkJtNxyTguEAMuaY4BUUTCZVx/RUHRPrZvN08she1J9p3IduI/Qv5vu9r3SwUmqEVyc5jDuOxiG8aZzfvevVPiSEuAN4FpgnhOgUQrxXCHGzEOJmc8gDwE5gO/Ad4MNHN+XXNsJyQJaQeMZGOjiyk3KF5RkKCqvWiq1gIdnY8zwA8485BdAWEBoxIBCKQbdPN8uyNVQlR4e1THwm7aTJ5XNGelkR9Vehg51KmKKUxBa0tDUc4nnVMN22obV8tf8rMAzne+fzvhPfx7ltV+LZUOMYmE5pyvNIEg4HMDzKA/BtkMoylrKKs8KhCqYDwJKRYKxURjvb4anQ+hUgTHOzQMQiOFRGERRELPTCgptKvYoyShB1hc2lod/T5yuhO3sqqZDGM5I2FANt9gaJxBFbNw/ZMOjCvoqEy81Z2NEcl2CqHKEXIW2tKKykUUYKZIVnVEXAMLBk2AMqQAu3MDclsPW+821TpDaMORrPKFxzL9wnAobqYGBs6bYjDitpnpuHTlQDsslWhruhnNM3FrYUDz2jkkkwthJ6Pq5JZD2UgEFDiPBtSEyAQ6FnTExmCEdVwu6o4aM/V0yDlwbTpJdiUKTH66G/r5+SV6I+U0/fwb4oZqSkIXoIczsSButBNrbSINuQwqoS6CFMV0Zb1M84B/hG8b/o3NMJwOKWU2k3JKTKIR3TGhzdA8yt/nMMVYf3asOAgD0eiLQmZUSIyyu0/Tg8socVw4/TW+jFJxhTMeX/aowns9FK6AIhxDbgAvPzeJ/9d/P9fiHEfaO/jub6R/SMXqGfUZaj6GeklLr+Vf6uOEr37Y8xfKOMbCRzJyzl2XWrCSyBG8ZsDPtFAFaNFTG8hJBs7F5FNtvEpEkz6e421m8F7LS9sIGZyWu1YCkxpk2wdDQ2nkykGBw6rDmJosIzwlh6VHtGYTsFzwbfJbKohQDLcRhRI9hF6Eh0QN54FwKSdp0+iVFGJVt3jB1S0GTmFLLGLEzZHAKkEX4RgUGAkFJbdlLg2bFiCa1Cz7zkgRHEMuVEyi0cIaMo6h1FjLeHyZYhFCmP8CIKx8AxZo77gPkWTG9aiDu0j1SqRrPsjBW8o3sdCnAtiVUiqi9XOQqWFjaV3VYHbEhKrYzCROhQjkQGiqWtV5mKXx8pZRzErrTKLUOyMImtlSSNMGYUWLqwbqmgLxg4xuuxdLKmb7xY3wj2sqMx7ubxl2rMsMK1q0jenF23gKLQ9ykw61bpGfl6zaUJyofPvidpDCSzB2ratCLwTB6SHKWM9I1We4fhCFmirikKG/btCquC/Gjlj5jYP5HGukYG+gbwa7QFqIi9a2Ge92AW3D0H2F1ag8wkqr3T0DMSWkEMZZIk082IQT3XMyecy55AV/WomnaCqBurlQZPUpWgHMF0FZ/z0XvAqtVxsDLGWHkFDGrf8FYOjzzD+t2Pc2rHp0lbf56CdK8gs887io/fbr5/5bVe/5Vguv+/6mdULmtpbwuLZFKbyb4tKZuk0kgZCbAdQVm43HHwZ5zacDGbc89zzDEnI4SI6bvGivdsmJI+BjttEt3ycYA7HDV1MFwDBZXWmzlAt6kwwjmECJUVd4UIu0NKS5/X84io0ELA1MZjaUudykv55/jZwM+YvnY65eHpJNsX4STqIm/Dsi0KhphQ2SwsVEZgGYZcgEhUBJrDWJAU0Qf8MCaj4gRM14mVIIAw3sJozyiiD1fEjCC2yKPqAkcK9BqYLrA1VHfIgQUuWLZNIfAIMnEsR9iw9NK3MdS/DauuTnsE4yi5oqXvI1RGZQlDFjTa2jjYBXT1w2n1RAmeIRMusMDOxA9aCiuKTWBpr+uZZjixVyujwNXCLSx2Gz6DwGwDvwbKXbH3qw0BowSkVkiBWSPPhoMOnDD+Uo0ZIbU5KAJprYw8oZOty9oSiZ5D6LX6vg63CaHn7Tr62r0Jo2ADPadUCgaaIfAl2MG4MaOQLTl6eOh7KyWpYp9ZpoXLGU1n0FRoYp1cx+6e3fhl3XolylsSpvYeMFAPfQMbSKsy7Ymp1fR6A7m5aGVkZZs5e8JbmZAHFSgK5SJu4KCkXQXlygR63wZmDUwVb6uicK6iGlbzDNTt1Gkm3pAPuCCbOOKQlr6nK5uvpscaFXB+gwylVEhSaAIeUEqN01P3lccRHUJTaeFxpdRpwGZ0h9c6oFMp9QeABK+P4ZV0mRBLSPqKBzXkYZhP5TAIapSREPBi/ml2FnfwaN997OrdwLx5S6NzRT19bDjjXZ/lpOPfgpXWFi2+xugrR7Ye5MlQkCkN/wTo1uYyjg34hvhQVtoaixrpGcs67GkUZedb0OnuAw9mpGawfv8GesqHdRkWK8nnp3+eT06+BYEOXvuWboUejkgQGjM+QGEZkkAoCEHHABSghPGMDEwXWnxeSp9HCbACEKFnVFGoMlRc2LFQV+Z3VTEFE9gfb2SzIOq1IhIpOGTaI+zLbyenhnVRTiO4sSHZXEfjwpMo+uCMbZkDxMoorIZdCT95gY6LDPdAeVD/PagwEHwb7HSFZ4TENvCdsOBwCtYJ2G687gimq7jH0GK3k4Cjc1pCggTo+3Edo4yMBx16foePcE/jjbAkkArAc7TEf7F/BYHQRUCFEewYz87FzNd4+PWtENTrZzachpxnvDVh9m8Klmcv1eWonHGU0St4RkpAOVHhuREX753tzGZW7SyymSzD7jBt9gRq7XqtjAySYFmQOA56Z8DUaWdwU8tfctmEt48xapyUNjSGAiiGeWpdEHgB39jwZdYPPjtGGkqzn6SLbt+eoKqGXuQZmc+F+9qTes/la6GvBMk8qFdIKQg71y5IHI+0LV3W6o07Lge2CiFuF0JcamrTHdV4VXRSCHEd8DxwHfAWYKUQ4trXPNU/0yiXAwjAsiT7h7Zpb0AEWhlRYZlJ6O3dx0u5FdTIGg6V9xGogPnHnAzEL1eYcEfSwpYSadpECwUyNfb6NR2gmtOaqOAD0qKYhpHQ4jeMm3IClBvDOaFVa3RpZDXtGFzHAW8/x9Ucx5VNVyJ8gRQaXiz7IGqEVmhKK6NAwPAo6EJZILEjz8hy9LUqC31eOfn9upeRFJpAYDwjF6OUTEHYQGjyhkhrZbQouyi6VgjTKSdWRqFwkra+z7BXz5GswkwGvDdpoVxjG7hIwqKzbuSk2Vfi1plKyFassJUEOQDuSeOfsxAqI6OkB4317FtaGfloweKZ5Ehl1iSsyuzUOnEnXClJp6H9eBCzdSFVT0BPIobpMGsWeka2DQkH7Hp932XjzUbUcQNJ+qFnhPFAk5p8cbQjVEYIUBntGWWdZg1jKujPwrMTiXLIPPR8lblGtg3K55uYlaNZYr6j18ay9L6dX7eYj7R/llSmugx6yKYLPefK4Zq/lZNGCZp9FyqjXQO7GAqGqMvUEaiA6ya+leMbT4tgXdDPONcG+SzIdIYap0Er1VEisKYNBuqgawTKMuCOvf/Kk5ueQijBue0XM9mkBoxeN2WDVY6VkV+RfxZ6/OH7EhjP0hP62ZYzkBvWcTeR0ftsa+1YxSyMMtpd3F3VguSNOJRS7wZmA3ejwzw7hBDfPZrPHk2o7DPAUqXUTUqpdwIno6l7b6gRuAqJhRCSOZOXGEgooWEC4yGFyuj+X98KKG5ouom01JBelWcEMS1ZagVkVSijSmpvOIQAO5XSCsWUF1kzF57NaIGjfAPTpTRTyg8AoQVrMa0p32FdMiGgr3QIBUxsnIgKFF7Z08FdoeNOt+y9ha903hIrEKkZVJXzCSxAWFHMyE6g665VKKNAmCbVlsRztBAuY6znQHtGnvGMpAQrqc3pWicWSuFLGyqKMGakL6IVVFiR+pVexBDKq7Mhl4JiAOmpE2idcSJ+XUwICONqSkJNAtT88c9XkEb4ViijstkLXqCfQSB0R1zQxyoBNTWQTUG2vYnLW2/CFgkcmdCxvEkgaqFk7rM/abyainNUxozaF0P3m6Cv1mT7UwHz2obAYJSsb7zohAVDGciPh32NM0JlZCuQad1+tT0zPWI29tbDc7YO7itMXpQPbkorU4gD+UFae1MkDGxpILAf9Pwnv+3/5Zi9H3m+ijHDNeteMp6KZ44Jcwnv23sfL+ZepC6jY6BDI8NAxbEG+u1PaNbbQP4AXz98Cw923zUmAFFbB/mJMDII5VpJWXrkcnkkkpNaTqU1NXlcZRTYOnYrTVmkcgWLIfSMQuJDmH8YSF1izs1AMAxKV15iay08WA8bRmkjabrV/qTn9ujzb+ShlHKBB4E70TlGVxzN547mtqVSqpJb3nuUn3tdjVnz5vPu4z5LY8MELFt7A0jd3dQVxvL0AQm7dr1Ee3IaLXYr5zRfzpnzrqGpaQIQY+Bh2f2wbI5Imo0LcSXJiiEEWCkNNtdRh7BsDjVp2MCVgK+ZQW4S3GJsQXfWwdppmnxQSWCYPOtk5tQcy4zJM/hC1xd0ewUTJS0ruPHkGzlr3lW4ofC3xiojrXT0WigUlqMtwUoa6uqhpyJqt2tw8wJxUqSbIsreFzaQ1C/WgVKcMhZ6RoFNRNhQQN6Bp2foeXhQZWWON0Jl5Ait+MuBDs4rGQfbw2tkMlCTgdIyjljrKxcaIRUwXck837IRoIGsqIphSCuJBNRcDHKyTUdmBjdP+nvm1VdHcIoGehw06+NXeEZVb48Nm1the6iMzDOGijhZ6BkZZZQJoFQDXUepjKJGbQ4k67J8qvnzzGpeZIyQmCBRNp5RaGjsmwx3tkJXoJWR5RuhbGtSQ3h5mQDHSrGt8DJuolrrhO9LpfzNoz9bptozCs8XdR/2dcuLbF2Wequeb2/5FhuHVmt2IXGMsc88t/7hfTHNfpRStCxITdVGQr4OpJOkUC4ReAE9+W6KfqHquayr11+BpRHM8L7DBrQlYiNr4zTtqYZGlm/g9SAFw0m4/3wYsGBLHfT5+qtqjYxnJAxt/ZXIDq/3IYS4WAjxQzRL+lrgu8BRlXk7GqXykBDiYSHEu4QQ7wJ+g9Z6b6jhToL9C8Cvh55Cp7GuXHxp4BErDi4fOLCVxoSuerG4/kxuue7nVedSBqZTxgLC0VWg0SSgcT0jKSGRriUrG7m59cMUGjIUbINDS/3y29II2RJR76J8Usc2ukX88gHYTQ1ccOZbqJ9VT0CAcnUQPUjoF3POrDlMO/sE7c2gIZeR0crIglDyzatbjJVkjGfU53YxJ72AmR1narJCQlvQLmB5Zv6h8kpAIlODAnJuLrpW+JJKG12+Bf01WAurstArY/jvlSg1nonV2WGMT2mhGJZhsYyniqWrdNeeD8wd/1wKHUNTIq6Q0G8bw0Bo9qNnPKOiOSCs0Bzdl/RZM/Ich8r7x5y/ZO6zkIaCiUEB45Y88ix9fJgHE+UxOTpmFBI3IjgU/TwHx/E2xhuRhZ+EIAE9CyA3hYiM4hm2pRd6hXqZKWd0OsAB18SHfKh1wFIml9jch5WC6ZkFpK3a8T3bipjRELCyDNu6zfrKmKQRPoeoykoACSvB5KbJfKztY8xx5uGYjsghtKokdJv3joQ2rE5pumDcJNP6ieC2QK4JRDJFvlwkP5znB1v/k125DVVGy740bDBrIyz9ngeOhsB94DkXdvXr57GmA37nxvHUMB9PpCFfA1ta4bZ62C81NOyOev5hzChs9vk6yzP6Q8e7gF8Bcw2a9sDRcgxeVQcrpT4lhLgaXW1KoOsZ/fJ/Mdk/y2hqhsmXwL5D0He/ttr9wNWVec3mCQIY8YcYGDjEddM+yEXJy+ips6tesMpqA8KCCdM1/BFm3iuD6Y8eQsD0jpM4rfEkkgJ66zQEE5IC8E0sQuocj7BPimtouTkHGtwYpgutzUxNRgs3H/oaLPraYUq/vmYQGJgH7TkUKu5DGsGTsNJ8esot7KiDkQSRdxTO+Zz2a2nvhfuNwvaSBs4JdIa+m9AeZSBAJSBVm+U9zR9nZkMcOAvp4KIiZqTQn/GlaZRnFM2rKSNBXP3bV1oQ6uK3muRQeyyIyfp8gw40jVNjDrRAcCvm4AfQYxEx8spoeAZRQbcfpYywFc/0P4Tlw6XN7yHN1OhPBWNg+DUwlAK/n8gTGUU4w5WGiRkeEK6BiRkFRpmEysIxAqs4ThxmvGHbxnPM6H3qZrRRveX3PgAAWwdJREFUgTBQq4EBXRnHA5XSkFyIHHhSe8LHOjCQgR1WRdwvCbNrF3Fi4kQGktWTCskwAfq8LweQ74KeESg36+uWDUkjhEvTTppaWcuwn6MnncBPaFboWzLXs64Odso46XU4o+m9NRbg2MbI9MbdR8kkWG+CYgoyyRT5oSKByakQoyyEIQmFpF6bsKutb1iteXR+Vn8/lBu0Eq1klPpSP+tME+QOaaV+2IKakjl+lDISBqYLE8yPxCg9mIa217miUkq97bV+9lU9IyHEl5VS9yil/kop9Qml1C+FEF9+rRf8cw3bBmcCBBmoq21GCahrmAI2lEJvIIDO4W0AzMmewInpJUxpPpE106vPFbVakLqQpFhAVD4EwRiIAEw8IwXri2u5vftHdNUEFI21FZZLEcbzKHlErYpdE6cpmXiUcGJlpCEJqb2ZAAppi8NZQ9eFKup12oaiHWP3USkaoLO8j1x5ABLQNhWSFffrC5/fDfyG7oEd+kVPmZhRoDdPaNUGEoIkqDqJbGsk3RIn9gRmzbCIirYq4sB2wSQXomJre7zhCxCBhjPDxEdpSBfhulhzgBRszMJPW2DgCFBWwQi0wNbnzTk66TRpG2VkPKOqROQK8gHA0+0Wl0x9P01OG37gjTl/bUnvt1xGK+wwxjAaNiyJmDotFBEbU0oTT5TmWRmjKVRGpWq5f8RhWeCdBd7pRPGbME9HBfq8IVkjwEBgAfjpWDGHxkKTBXNm6nWIPCMHft17Ow8M3D0uKhB6RgeAwV5TbUHqPRSEqIQV780JtRN4e9Pb8XzodxMc3Ac/z/2cJ/ue0HvGNoaJgs4mKPi6PFRgIOLfdt99RMkWlpQSqRQFr6iT4RVR2Sv0bTJkaTJRKVTkZp4lpVtxBGWNNJStCu/OvJPhvbRMg9IVeg3raiDjgV0Xx8qi5bH1taOSROMoHAX8vh1W1r3q4/6zDiHE1ab30aAQYkgIMXyULYeOCqa7YJzfvekPm+LrayRTKU1FTqYRZkMp413sG9qqD7Ikz448wyF7iOebYdjEDSo9o6q+NaICTz/Cqg76fTyY+yVbyzspJIRObAxjNIFWmMoIRYWxYi2TWGobcoRhxlUyipKJpJ6PZVFOGize0MNdg+1nhCZHFEKKuICwOsDt3d/j0e5foBKQrAdxWnzMyt5HWJtfRa7Yq7H6lBaCJRcwEGA5CalmsKfq3/VMAebrv60MYH/ZWP1ONYEhzJ3JZeKK55UW7bPN8PuG+GdPVigjoS3tMHF0NJ2+Owm9Huw/AkBQNDBf2LywaISjldLr4loxfTgU+mFuGWb+m2sFqbrJXN/2YTpqZ1adPy8gpbQ1nstoCC70EEfHxYpCe0YoDYWFxkylZxwpfAkJ8+yKFUJrey3sOUKu5JAND7bDqgaqmIuBSfiurPIQKiPpEzXWK8vYEJAmhiKIoTIp4ZDXyd7SjvENMeMpuEBQgu6TdF5Q2SVKCwisGKZDQpmyjtHZCQpFKNgFnhh8jK1Da7XyMl7y3gYQRWhshMDAdPlg5IjehSu0QiKVouiXCHL6IUspcYWpbm7peKTn6Bwo4cSswbLQnpHna4VTNsiDGxKFlPG2jWL1U/re5zlw/ELDkBz1/KdMmE+dVU+dYQKO59UVLX3dgaM0QP6M41+By5VS9RUN9rJH88EjKiMhxIeEEOvRpSHWVXzt4g2Y9Fo5Sn5BlyEpDyIrYDoVQOfQVoQQ9HvdPDb0CE8e+gWuEzOXQq8khOkqR7YZkq+QPK1SgolOB9dNvAklBDb6ur7xjGxHC8d8KJhNPKuc1Js9bKz2WBvsrSdKUE0n04Zpl6CY0l6UMlBf2SijGqHJEb1C56hEhTiBc5e9jZPnXDumcoQQMOj10eq0M3XSydozSmiYo1TWL1oQ3sMM4ASjbMy8uoDBfjh4wHh+huwRJvkGBm47PAkK9eAPU/Ui7k3BKlcLBjACSOmYEQZmS6UgJRlTYaHLMYLjCC9v0cxThRUOQm/XCEfXKKvAiT3NSpgujHu9NPgk2/IvVz9nYEToGGAmofNawk62YVXuylFCQ0CBAOHHMUdlvI9wn7i2trqTaAVQrHh7X6iHX9jxnqgcrtRxr37zDFyz35TJi/OM9xWWHHLRyshPxsrYFegyRqECIjaGrPD9gXG70FbS+UUAqztg5wTwXa0YAqOMo7iSO8T3e79v8ogSlARcPu1yHd/C1xW4zX11ZiBdhtpaUMn44kfKbnGlgcmSSUpekaAQROWcnmmBXzXAsKU9x9Az8k0agZ3RyiCPeZ5S77Fw/0RGlhU/h5B0Y0ldF1KI6oofLzbC7oY0dVYDjkgcEabLmTk5r62Dzv/lOKyU2vRaPvhKMaOfookKX6K68N2wUqrvtVzs9TJGTDvVodwhEnJ67BkZZdTaOpWLpryTlLubjS0W220NnUWjQnBVjvoJ6GysI4x0UyNva3gfiWRsZYcJjcpATkJAwZwfK4ZwKpVRX4WlDNCR7cAftKhtO45dCSikwC+CSunPigBSlhasT0yAfgnvHSJKNm2ffww9WxlXGQkp8QkiWNC1oZyGZEkHaJUyQtO8YCKMgaHLd6gc5GqhdiCOGYUEkNDD620Abzp4vRDmTHpCExtGMjDUDy2J2Dq3pZ67K4wQugRTkVKPgtRK17WPrIzCUkDhfMO2FraJz7g2pAINPZYrFFBovoVC5qX+R9kzCFe0N5BAd4YtSy0sLUszzTxbW9Ih+2p0v5qS0HvAc0AWNIGhHCpECY7xiMP4UegZlSzA19frk9Cbhs4+mDrqrQ7n6slYGRFoSFhhIEJZ7RlZnhbCodVfDvdD+JxF/Jyj3kswfnVqs8/CxOZ8AopJCFyz9423UklgkEKiVICwE5q5lgyiuAoGHeivg5EA6utNHDFpErRR47ZNwayBL4F0ioJfxB/xDXQqGbZgSxkWCi348zU6viZM+/REqya5SFcbU36NYSAab7MyZuSNo4ykWbeQPcv/r703DbIku+77fudm5ltq732ZnpmerQEOBgtHBAgS3CVQACUREk3TpCSLtuxgkCEqpHA4QpRpywxHKByyQ/rgEEMIOERtlkSETUGibIiEKJIiRXAbggCxY4DZZ3qm966u7b2XmdcfzjmZ+bLeq6rururqQdWJqO6qfPkyb9689/zPfoAX+hBWrlIOX+R8/+wYGEXgc4vw0JrlI0bYp0pBt0PPiMhH0SCGKkU4xvivtvviVM0oxngzxvhCjPFHrBqD/7ypgQjg+JFzRIHF+XN0XDMyU9krN77C2bMXSDodHu1e4MzCY2N+gyokumGy2SnFPnxy7T/yf73xD80TX9vL3WeU9OtMfMxJnVs5Fm/GNwj1dwBmu7OslKuMEjXLrfahGJpmlGlIbj+oJHwxgcuoLyU6kyjNWT+BkeRxxOXRG7x+/StgTKPooJWmZ2r/jzMSD91eKeHaGswNIX1atbKq1baZwNxMt9aDW2+B336PAilYzk+h0ulVu/aoAUZupgOQ1ga91tUk4TyDtSnilldf6BgjKQwYUxvfyNZDacAQC5tvZzhSS8FAVXwXLKy7VF+KJ8gO3Udj77VaE5h0bb6MEHXcHz0Hn51TRpcCXnqqDDrmIAZGwI1Mn3fQgWftedcT+NdnFNDdLDdK9P3kDc0oimlGonM9EvMH5jVYDQ34vTIU6O9NMGpGVLapKgaMgV3PSgDlNRjlDY16pjvDh458yAJvFIx+9+bvmn1QtNJ51GjMPIfFY7oVYy8xoSlO3ZsjG3f3+FkudN9GsayokEiiZroOvJhaEEcPrr6LqjJbbxZWl2D5pgqOeU/fXW7r2FtwjJnpTJsPJoAEqX1tI4HLCdzYuEREC8Ri7xo0sOc3F+CXUTAaAf1JPrn7ixZQ5fF7gT9jP396J198E0e03zmlWccYT0K34TMqYuTF5Wf5znf/RZ699Vm+cOMLzA2+mzI5Oe4sFk0U/ORT8APFxP03mTrwyfVfI2ABdyaReksKB6N1gdTAwf0Jgw5IrpKnS3duJlmXdTbiBlfXXmGUnWOjB6NrUM4pOEmuAQxlCmsjdSDfDDBrEnxu+VVtX5dKv4p464MbIGojL7rAAEaztQ+kyjkxaf4isLEKnQtw7DwUA5AHQG6ZD8TMHKWoue/zp+HZM7DwCrwXq4ZQqonyqs29O61Tk8SnBMpxpaMiWexZ8cty8znriYJ7ltSaUcTCxi3U2VuPD3tahaGUum2Dt7xwJhwa3G9gZhpvtOaJwpVm1ACjkWlkRaKAJGjE4o0SXjgBJ0rIj0N5pY56S4LOwcBued1MiWUfnp8B1uD1riZ6zI/ggmk4rhkNfb0ljWcNWr5mzUyFzeaLQ3u/zeURqLXhJIG5+RMM1y5TTgGjktqMlXctsKYcN9NVlb0DPNh9kA8s/VludWbV15SqZrRRrDNjXCs3a8Gs5VeXfe/0GutWKC0amQY3//CTvH/xSVh+rTLTDQ2YX+zq+wsdWM10/4CahG8uQvECZEcMjCJVEVsPYIhSa9OezO0FgBOpAxiudzSZ/di5C3zv0g9y+sgclxtC4fUOrOdwsQPnzQSb3kbljf0gq8BwR3Sbsv3XB60Nb6otfO1GBUalwMXiEhvrN8nPXuDVta/ylY0v8qlLv6JVGuy7HsCw3oNXArzQqFW1HjZHyjRJ3LyGKVYOgokdyNSBPkhNEjcwKrrmSI3qW8ilZuSg0UcAG3HAsKsmkGHDZxRKLaHjzJE5WDHNLEejxiYFXVTBGgAhaIWIjmpqsYBipt58eeM7RQp/eBR+7xEYXdBj6VuBXq0ZRfcZCZQ9eLEHt3oaNgymGQnQ16RGMF+G2KINDYd3i652QYaQWo7PJNoIKv2nFk1XgRE14BO1Bfiwq2ZP9+PBZs3IExf92kXUMjDO1EflFDAKVLkpuUVjlqZJrPXg8gMQF2qfURTzP4iBCnCjo4z91Ay8OqvmnBsGyB58EMXA3BinV1HPrfoBqYLRag8GAypTWGljHE7SjOqlwdMf/HE++L7/iTjBjFRpRhadmGcWWOPP7Fqfa2wS+cjlj3CrWCF0O6oRmDN2I66pRSGqQCbRzKFAevwEUeD4kQt84mEmV32w/bduYevFcm2m8+rzV7uQjjRXba2xL7IMWDRLwpJpzRbt6om4PieuJ1eBHw0wcp/R1Y4GKxWdhAv9p3igf16Vv7R+r0PgRk9DzdMhyIRSY/cTicg5EfmYiFwSkTdE5BdE5NxOvnsgwWj+9CltnzB/hE5SJ57+4aufAGD2G96NpCZlWZUGl3SqTqCm0TSLj37iFHx8i4bswSLnKkHdqxW7PbmjyXVFB2JueUjo34OOSnoevVMmtV36fQ+9j79x9mc4cuwxRuYwH1n/ow1Lk+oHbbnwwFG972paO5aLcrrD1/sUabig3j96oq5rRg2TjZfkWQlasufaBD9UGVQzskLP0NXim8NUQQjU9BQMUK7bNYZSDWMMANt0KYPuBvS747lVTVpP1C+SNcCoRJm8awtV7ldHAzaaEZRN/4A+V72VhsbwO6bFtDUjJoBRntYJlq51DU077JsmmNs7Cok6w31N3sggHcCpPqzPwYulztkQyxEy4MxFtW8PYEhs7TsYbXRVax6so5GSUs97Ts1QYbNmJP2EJEsgVWf7lcZ7bzaQLI1xD2Y2g1Ge6rqXIGzEDZ4fPFdV9X702ONE4Ojcg1VvIJ97qzlM2U/JQpei3+PTmSbrtsnLGl1e/Ro/e/lvs3p5je88/gGOdI6rICkK4mEE/Y5WCcHe3SePQ35W5yw7CrGr+9L9t1W9PGmBUayFvUTqPKNrlqC+unGNj179CM9vfI1mROk1EyjWenAp6Jgm5TDeZ/SP0IZ8Z4EHgH9rx7alAwlGRx57mMd+4mfIHz2tPgOL5Pmt5/8lsycepv/O91aZiRICZbI5p8PDUVcbM3hT4ItMlsigwYiNwUtjIUsEOiapdyGOTCKPZtawzV1YOHVz8bMEa+esr4yFow4LZQCDTm1aenQWHnxAgeeWMb4cqzU2gWlXkYOgonCiDDJauHFhrbxdKvTvFEFDmYug/qtNc+BmmwC9odnfI8Q5uGWb/3oG2QDme8pswTQjGppRgJf68MmjjfcCXBeNOuolk8EoAtdSLeyaJC3NyMAoD1R9aIqOhrI3ncsefecdWKVT38hLAXVTizQT9VG5z6jp5B/ZdZwZV834gKSra6BrvsXcTE9ifqOh3fJyClkOJ7uQz6nf6Fqm8zUKNdAWYto4tWZegVGmYDSaQVtNZLXZaeQaf1szsr+9oKj7QT91BD66YOvK3lUpag7OLZ9qo28muqR+l2VKVcOPAC8MnqvqNZ5dOMeP/vn/gROnnjD11TQju39Aw8GHccD1wRvkCVzZ/OorzYgji7xt9t0cL07yrsX3MpctKbibyTOLatped+0zg0/14HNL0JuDcFZN6kM3tSfmW3Tgt/t51ZCmZuT79kpHfdHrxTKXRq/xG9d/peolBvoO86hC3+uK81ND1u8jOhFj/Ecxxtx+/jFwYidfPJBgJGImj0Q39agDN9eu8LlX/z0Pfsd/wWpXCMm4ZuTOYteMvE5YsyHXQDSn5NIUkT0EyHqzmqFtUmp0zSgqk08S88l4dQNjiENzJntR0iI0QC+F5acVtPLMJOpoYJRZ9JlRhkrrqwZGGwnaOmNK1QiCGPNSlWSUaj4VYmBkmlHR+E6Rqpkwz8bB2j93n1ERdN/NpNCNsDCvYbUlWg2hG2ChowBVRnOiG+PBJMxXZ+BXA1wzB1JpY5FEmfhgwgpfTeAG6gxOZNxn1DGm6Fn0qYHRRlUMTa9Rmekq6by+kfuMOpnlRCWqoW6lGRUtzShGOFPAsVTDw10zKkMdJjwK6uO5KdDLNJdspg9fnYcrpr2PQv0suSG5g2KSqpmuDAou63MaKRkHQLd+xqG9k7aZroqg9LVsGtb1DN4Artk+8GofeaHCVIwKMKOu/u1glJt5GvRaS9kJjf7raImsdK5TJ05H84H5ugLyRG84YEAZ4OYExu3gH04d572L30tveYarG5cZMVK/WKL7MEtUmPF3uZypf2dlDvp/Du3yNmvvxMztvkSQ2lzfDGAAqz9pwsqlVOcrdjTZ9cmFp6uI2ULgUgILufoC1/M3BRABXBGRvygiif38RXbQjBUOMBjlZr5KgTKDZ770CxRlzoPf+SOsdQAr0RGteOGwMVPRNJwoNRi5GSRP4aUpsyoC3/Udf533/9Df1PDebi1VCVT11SozXbcGoyLVTelmBu9v4zQKtbY2Mr+SB2Y0m28GlOGupHrdtUyZT7k4ecydVFUbCUGbvYlKhOJgBNBiTEWijGfU2VyypmmmKwOQwNtTODsHi30dz81EK3J3ujATYH1Gk3VHDTOd2IYf2b1vGDB75FilPaQNCd3oikXbdeZ1DRTUjmY303mVjTRVhrlRFdjTa1QJjmmwUkf1S98ImqeTZnb9tGboTe3K35uXJPLSMw4CswW8+zELXzdmHQyQU1Gwv5JpHlZmvpozPXhtDtZMGMgbmlZO7aeMFu3nmkomOs9FT9dc2QCjQVLPabWOGpqRN+DzfkhXEl0D15vvPKnBqAQGPQ0AyC3cP090nqJpRnPZAqe7D1Y14QYDqjwlDNCKZHxty3yfv/TQT/Odb/lvKQVuTjA9u/Yy6EXWGfC1l57jn730s1wq3iBG6Fuyb5bWguqgtICaFh8o58yvllD3gYIqKdfXSROMMluvNzNYK1WIiKmWAZrJlkhyoKufb5SwmKjvcVhS1Sy8z+kvo62GXkfjmH7Qjm1LBxeMEovMQk0Mn/3Kxzmx+BgLT7yTQReilc6NIhq5FervRteOpDYDuUReBHh1Svil9j/KKJe6muDYrf1PY5qR53+YZpSYZLzerc1HHh7t5GaUoqvay4g60CG0xtNLtMcRqTHzAuKRyeN915nvsSAF04wCZHMaFJGbE9iz+oGqbEpeqrlwfQIYxaCfFyaRH0vhkcc0eXXQgzdS3XxpX3NZRz24Vur8VgEMYuBv83ezsflLu09HFNCHLTC62lXzyPxsQ2pvMg1jpq8dgd9+HMjsOVo+oxJlJDAewDBIajBKUQbsvj49d/y9leg7L4zxNhNwoTZLutksmMmmSOF6os/XMTA6lkAxA6sjZaojGlqc1PPvYDQyjaYjqlnHGTPB9qkqqQ/NtDfmM7JrVn93qcL019DrXm+AlVcuL8wsuLwEybtgcMTWj825Vze/WS7z/MazhJ5+ZziqwciZch7GfZ1lT7hyLuPGMaEIqs20aeAWjXKZf/j6/8rrVy7xgRM/yGz3KCUwn0PZ08rsGarBDQq91pDx6gmFtQfJQm02j/au3FKQy3gAg4d2bwQYFWqKLRLNi3ojv0SSQ7SgnWGhSfSzpqkn97+/iBjjSzHG748xnogxnowx/tkY44s7+e6BBiPXjIoMLl/7GmePP0WZaBO5PKv7/JQyDkaerFqGuhL2SBQ4SOD1/sTbVlpD5Vft6flu+8bAKBr4jDq6wbNMpfX1fs28ylBLX2ASH7qRRqluHE/Ea6v3vVTNc2K291iATNCMRNCcDdE/EmPaJ05D/4+r9FxtvjbjiervWGvdOzH/x3pUqbhp+umim/+VjtrtF2Z1isquFposUSk62P+jhCpH6Ja9H9eMQlBm4pJtk6501OE/u2DBECbV4jlMxhhv9uFz88qMB3ZdN7F5hNqFt32II+lxrp7IqhYdG8GCI1wzMjBy89gmMx0KQqVpB1ULdmdg/o+9zyToJfJMo6xygRljVEtAOU+Vrd/UjIpAVXmj0oxsrXVFhbJi3jSObv2MQzNVNTWjhPH15624b/aVyY6Scc3EIyjzjoF4AvkDOjeuGcUUvMRfKbBS3NKmdB3zgaJCm5hmlCfja1sCfOEpuHFUv39rEhjZ2Efzmt6RrXe5MPsUWX+GGLU9x3fNwukHNWWjyGAtqs/IfXBOcRFWFjXc2ssZxeZ6ohZymgEMMajFoETXm+eoPbf+VS23lNSRdAuzsGiCSnqfR9IBiMg/EZGlxt9HROTndvLdAwlGHkTgmlGeRK5de56jS4+oxtNrgJHEMc0Ixs10Xh/MI5akC1f6k4MYvG1DYX6WpKEZeZO5ECywITEzHdBP1Ja/3qHyN5XGjJ2qEiMm7Q6lESjRBqOgWkthEm82ADk2ea6+cuNTZlpKNSHUGJo8VDO5NhhFA6NBb3MAQa8Hw3kYDUyybcxrFwXiF/sGFvM1GF11U1FDM/JaYhGtvwaNMSUKRmUGq413EYHXM+iMoN+3KCxjHpVmFMzUGGDNHO2eiOyakd/nyENv50dO/iS/901z/Dt71nXTdJOkNgMPGppRE4y8OOmoB8UipEuNAAbXNu15S9NsJNSa0XICkmsNPFAGutjV73YNjCrTbuP9SKEad2FSdx9dm6MejPogPdOMggX4tEDUqy542ZtuX02Hy33L/+rXgSduFo9FDUbNKgVBDJSDmvKg3l/JrFoMNqKNv1AwmrS2xbUrG9tK47PfPQrPzeh6SYGhdem9unGNl1afY8CwesbZHvRnrFVHqm0vrprprZm6MZqDF98N+ekagHw/OGiN7PmreaNeT6VppEUobU+HKmlxNdXUg+4MzAXVwt4ECa8A74gx3vA/YozXgW/cyRcPDBi9APzbRc3Id59AYgtzdOMyo9EaS0vn1W7fhTxT7pZLOba4qvYNBmgbtiFz+38mavOu1ycEMbgJa2iZ/NKIxPFNJaJSZhnqunL9AC88DZcfG9eM8pa5J6JO6ZFF6XgiXhuMOqjWkqPjSIcq5Tld68AvnVImNttd5FzvUU6c/AZSaWiANCR4aYGRSYnDCaHVSaI5GiOrS9bUjHoo474WoDtShtBBNbgbxhA9gMHv6a2rV2yjNn1GboJdadzjVqqNCvsdY+w+l1KDkRhDK8TMZ57z1DCd+bNfXn6e/3Tzl1jplFw1Rrpm2gso/y4zqlI7DpROQwMjSWH1Asj31BpJaFwDY87usU/Reb6eQTJS/5rTO3vwwKyBkYxrRqBrLuQq9BQWFNGVGoxCD8KsCTguXDRyrGzZVJFjoIVKZ78PlhfUH9jt1mYy15ZxMx1sSjR2zchNz3/+/X+F7336r5H2DYyCXleizlWRjs8RUOXxFa59m4k2Ap+dgV/KFQSSCEU/gRB4duXLfOz1f8rN8tYmf16G8oprKawAsdsQ+qirePT9vtQarYdv5zLOZBNbb64ZdQXiA5of9ciRd1aBROuJhnJ3O/Ag8HhXNfk3AQUROeJ/iMhRdlhcYUcnfT3QAPiDjobbnu/DlcdgcaS1K4avPg/A0rFHuFGoieLEg9/Ityx1ePb0cT4nLfXcNIQyKMMdljUTnI0azvwqWKWymnxTukSYCJXJb0zqNDAamRTZFxgswRtPwpIxr9hY8GD3F/Un5K4ZoZsyTACjwswAMVFzTdlYCa/34NPAQyN4y6lv5sS1b+bjwZyviY6/02AmkzSjMqjJbaOlIXqNLweRptTomtF6DgtWzDVDGc6tTs3IHYwqZhmti601gXOTUoYC/RpUgXDXzWw3a6X4g83BqGiAkTM0+39kbTPSaD44av/NxZtfQtZ/l0H4bkaJIvyQWqtJgLKjWmzJuC8IauFCGnNY1clraEZF17TSJkAlCtLJUH0cTvMC84/C5bwO8IjYOrN34+1I4lwdPl6WqoEfe78CwAibNKkFAadgc1vE+lk5pgCUDDUk/5aHvdu696AcH4ubtdJgpkDzNQLMnTxBd6SakZRWrNYtxkkDjFpmOi8vFBONKl3NYbarPbiuz8BS1HkdZkJIOwyGAzVbZmHTu3HN6FLPzIQL43tu3XyDndQ0I5+HUIOWJ2o3563qqovmouWnFnnqL/zPnLkoRDPFrQRIShUuU+DCWdXQ3gT0d4FPisj/g77eHwL+9k6+eGDAqI8yhFsmha2cBFI4CgxfMjA68kgVJpv3Ut7afyeXTRppJr1i2kwU3VwDA6MyatuA2IOrE2a20hosEz1tMIcmGKU9Y4Id3YjdVBnBWlqbA9tgNEKv2QkKNOtmymiWsHHqoJtszcwZsZWo6+Vf1oFbo+v8wZVf5ubyt5PGB8hT+M3jqnmdKxuMNAAldZ8kMzNu5Gyq29ObVVt7W7LtYGAaoWMlXgL6TLeympHbK1CBwE7yqEYPY5a0ZiZfXYQ/Ogr/+SsqVORA1quv72Y6zwdxzahM1Lw07CqjSSLj0XTA4EPv511X/hi/cbRbOfqHjedy7WyUom3tGXe6u5muqozQuLZfQ4DVk/Dc27T6enXdRP0Z3RaoO3kTQl8zPjcE8730IL4F3hA4H/Si60FfhGBz68JFi1G7ZtSuEn49hWxFTV3XOxrJWAVNWK3BEsZah2digTkJFGZR8MrhzCq4DbEE6VD7XmNbiDOTY5GYdtLREP7EQHOtD71CGXxMIGQd1teWdQ+mQQuqN9ZjH12Pzx4xLSarLSBBau0lM2CstFypwShvvZuACn5DE6I6/txdTaEoZvWRlkNd5fvNRDHGfyoizwDfgy6TH4gxfmEn3z1QYESiDnVfUJjUMXz5BQAWjz0CEea6cGX4Bj9/9V+TrX0QwkPjmhG1XTrvaNhxbhu9JxoOfK2juTZfWIS33dQkOjfTeSuCYODknTx9XyWpMvJRV8EoTZXhbCQNh7cxfKcROp4ONiaLyvK8lCZ1UNPRuj1DuVRZf4C6hMxQ4AuXf5tX1r/EbPleUtFIsZcTuHwDTnVq5uabr4qWs5DoQcEm6vXgsoFR02eUopJiDJpzVJ2faI2wPuOOYA/19vdaxlqrCKZVSQIvLGrS6gtDC92mymmeaqZzICpMwvaeU16vrdI2ZlJG509qMdvE2kE0xim27oYdNGqxxdSHAZLCAJ3xazeFiCTA6iL0zTPu5p68hLkpuzgTjQJ0n1FpazQmCkak5stBmaLE8R5Jrnl6dFhzHTmIOxg9NwsvzaiJtZOaX7IPl0QrcRwRnZiha0Zi8xQt98bMhe5rHaLmx9iHsG7yjAFb5YPyiTByn1FMtOL6ioHRbKLmv1EKw3XodWwOUrMjRiizUAWHOHWAt/fh833or+o8jxqWgdWggNlNdUIqgdW1pKiA2wSUykxnz57aeAsDa/o67+voZ29GMvDZEQA1KWx/ytcHOSNbS8z+jL5sQTWj/txx0pk5JGgS5q3iJm+MLvLV1/5TxWyrTp9Sg1E0B7lHrqX2/esdeHkGfm0Wfq1lOy/NEZ6aZFfadZxmZ2E2g+GMLvYkVSa9ljQYS1oDYESZUilq6sq7muxaNMbUpIzaDl+kEJfGP3cwGgXopTNEYOnIw+pfs5DdQVdNcJN8RoUx86JXVwkYu38G8Yheq70CZxI1h802wKifqhQajYGCgk1ugEnSMpcaU3Ew2ih07jzC0P0UUEfT5Sjwi4FRbtpMlSOUqZmp7TMazFJ14x2lGnVXxtp8JOjvo0zBSBrPgI0nsbJDeevaTcaYmCTtJp/U/skLSKfkn3iQgXfRjSlVXoyABrsEfe5Oqs/e9PHlNjfYmm2OR+wzD8p4bhZ+XeDiUJm9r8NfPQm/bikAsVStvYqms3GlwXxGSe0zGpUKRjKrPlT3GVWakZnGmlqmF6WNwdp/ZHAj1L6dPLPrmlAoWafyeRXWJba9Vx7swOOnNcqu39V954C5EvQ9JIlOyFAglA1Lgb3ftpku2phCodqPW0diBGZtn0cVQg8SHZjH7WOMKVXpvhANcQYYvfg88ycfqQqWJgksnr3Anzj6X/GZ84t8xSUuajDyrPU81UU5G2omN5+qWemKaL+V31uA77pcm7Dc55PYxipl3GfT60Hv+2F0FGSgoNlFF3Blpkt1A38OkGXIT+i1OwKrBkYJOu5UGKOOzcWahZaHpfHP3dwwFOgZByooSSXRsicDLTO0sVFvvnY7Ac9VGa63/Ao2h0tPaZO/RhUdAJ5M4dpsHR0GKmV7nkoVGCANM2Wg6mLbBJvUxpOj4DkSM11RX8cl/BF4BLuChzG7IphmlEIc1BqPA8bKEbjxXhguqUCwFjf7VyS1PCNzwDel+YFoGPhEzagFRk2TT2pjLaIGHEwif/9WVq8qwFr1U0qtqkWh2qcUjY67No401lUimuvINcpojDkP0FuH8w/DXEcl+7IDr5pgUGkKrhmlJgDEOoG3lNrvsl7YHKYanLE2B50NM9M6GLUFLdPI06hgJJkmj67b3Iae7dsJYJR3QhVq3abHZyC+A75i981L/f5KUDBxgBmJ+nk8gCEWdQRjY4iaM2hCQGbmfvd1JTMqEBSl+q4PEh0YzShBzRZrJv157TCAjReeZ+7kI9pPxhjWKIMznfP0+0eUKWWM1doqkjraZpVaY0kSNQuszWjyZl7CzQX4naThbzLNSALErnY5zSYUWB2EWjPy0jbu+HTNaGUIl19UScobr8XUJHHYVIEBLCgggVtH4MQ3Q3x0/POhjXGU1r1Wlm++XPXVGZYKRgMakmBLM8pTA8xsc9IpQNmD4bFxMx1ogMajj45v4AxUC2iAmpsMywidqBL3rTjOyAWNRCQBmTfNKKDSeENziUFBwSVYaZiNYrBSPpkyl8+dUwbn5kASWJ2natu9DpvCoBM3+TkYpfBqX1uFD4KdKrWps521D6YZyYQIu6ARV5MoYP4JqKpz+NrzliFDY4qpCS1ePqm0H/eTtc2GzlQrs5ppBaeOwty8Ck9lRzskD63kkOcZVaZd7DnRdeKtSEpgfVSDbJbBcBZGQ9Ncba7bYFS9N1GzdppYGZ9E7zXf0bXpuW7njr2dxeQoRCi6YaJmVF1banDPDaAH9m7F3p9rme4zaiZgN+cN40Fugvck66SlGb0Zklx3kw4MGIHWOhukKv1JqUmBZVGw8dKLzJzSsG7jXdzauMLff/1neOXaZ6skyDzWCytPoFOqpLbSCCzIggVL9OGlFBZXYe44/OEseCFJD2sNph29cQHk/ZvHu2HAKKJjH3XU1owxtCJRn8xaX0Oly0QBNxrzc8aTtd6yoIx3JCCn2VSxe2CbaJBQJeTl+YaaNwRGdt3VYMxEas2oKv2S6eYadSaDkVcZ2Ilu7gEXTQ0rkToZsxeV6d6QOiDAtYr3ZPDYCXVue9HQJqMPNiFNMPKIxDLofYeZglGBtsz+D0UNetHNvnbvgR0PjedKGgEMUurcfWEBfqELK9HMiTIewEAbjPz3hmbkWujMFmBUGNOsErXt/bgQsGHPLabBuLbpFSbSSNXywv1sPgyPKASqFhO+P/r23LEL9Kgqh+SdGqy9r1ISVHgqTbvYAOIQShPQskxzeuKGCXGmobRN0FUXYdtnM4mV1THGv5SpUJnZOedPfRNP9r8RgNyi6ZrP2KYEqnYg60EFzSSrgXkYah9YFVIfxwWuBN1DHomXJbUGnpQQ57TtSS4aSHWQaE/BSEQ+ICJfFpGvishPTfj8u0Tkpoh82n7+1l6OpxOUcQwSNY2kGdx67TXiaET/tGpGnuG/HldB4MVLv1/VFxuVtVRXJNApzNyV1EwwNTAqu3CrUEZxZMYqNbhmhC5qz5kpp7yF9QaDzNCAhnWBNAfMx5DnupFHuV4nc80oNbNPy2EONRg1cyaatGZSeDO0l1iHE5cBbUNhmzwxKRdqMBp2LEoqs7puLao0yR2swA7q4yrKmlkkos7kSB2QcUtqkHAm1U/gxHHTAuxzKWttMUAVCVVNh81tkZhvzcFI9DlXqO8jpjlFdF7WhaqxnlNwn1KkKoS5IVo14oqBeXMdtHvggGotTc0oYFp8HDdpNqlppnMtyk3EziAHjIehNwt8RnvnzuCbjL+tGTWvA7pev7ULD56hEuZAwcj3gZvuUmrwL2INRoVFsmaZmnyLXOfVK8OXLUFLTFgqRX9fyGC5o9aQJFfzedFT60GZwiDJWStXdVzdUAHJNErQZxli1hXTXnwNuQ8ssXXWzMNrzhtJvbeb6R0B9ZGtm5C1H0muIvKCiHzW+PEz9/Lee+YzEpEE+Fng/cArwO+LyC9OCPP7zRjjjtrS3i31TBpbCyAjrap85aWXAOifPV9VTQ5oHoIm9UUS1Ob/5Xk1rXwrthHMUb2a1dFYSWLMsQuDHNI5y/VIakbgodxiC3JaX56B1JvDTYIrohuraucwNMaZ67U7Js1XZiEmbzBPYJ1EG7aJhgHmrWq32CaLwQCya5pRPq4ZJQn0jsGtYypVDxLN82lTFWgwZQxN6tizN01FiQFIjJa0nmleS88ZQksaddPOWA06DICCAm/m2p0zbtPcNszc6AKH9ytyMFpP7d2KZv23JfZgmuqgxB5C12AhWtD0iM2Dr4N2Dxx/XqgFC0HvEcrxhNcmBZu34UC/4H6N1NaIYBqh3SdtaUZgIeSBTWZDsePuM6oiGxu02NXE0zeSOjhjaLXpvIKGr6vCwUjU1FmUkC7acwTdRx740AxgaEacORhFUdCaCXB5BpaHut8fTKDowlJfz/3UG58grv0eHzj5g3ypJypYbaEZOQAPTBAqUIE22IdDEyJ8Hts1BqtriFpZMhNCxMEo6ISvmdbUmaLx3gP67hjjpA4ce0p7qRm9B/hqjPG5GOMQ+HngQ3t4v22pE9TXsSoawZSkqhkBhDNntTdNahJlR8GoJFYh2K/14YVSN0sMuokyAze3F4dEKwl4zsPCbK3eF2Z/9xwWoGph0KZCxpMnPWfmZqIgGINpBrkCnUuoSdDFPzIGGdisGUFtwnG6mcKnl5RXbrhmZCYEACFWUtwsOh/rCRXjL0Q30Y0OdN8Kt85bAclENa1Nzxc2+yGmkUf/NaXzJNQ+kI7ovK+kDUbeYgDO/DYVrrTPmrXXKgk76HvcyFCzqPmRfG49+m7QEDRWGxpydf9gGko5rhnFUOckNVsyeCfWTT6jwNiO7Rgzy7Yw0/k9XMOt2kgYuA8bAkEqjPmtSteGTWofSzCFsdYhQxiLGhsbQ0LVQHLYsfuL7RkLYIgJVcPIDdhULzFdsj3jYJTUwl81Jnu2UvR4H8h72oohseTUt5y0tAGBUyef5Lvn/zQXZp+i6Aje/XYauZY4iGZKw3IAacytm+mYrhm5oJNIbaUoAlUB2Cp/6dBntGv0APBy4+9X2FyUAOBbROQzIvLvRORtky4kIj8mIs+IyDN5Pk2P2J46qDZxU3QDiMDKxYsArLzjDK++FYo5Y9QWXVPGspIOr3ZUgvY25e7L2UjGTSsJGt6dAjPzVFnX7vB2xzjUKn2bvHW1+x4cjAZm1nBTYcwh7zNWQsbLpbhkFia85TSMm+men4Nf7sJzhYX0JqY5GYeJMaoJMJiPwiRDKWtA/fQSfHRRmUlJI7l2Ctg28322e2+SUIVs2+NXzDALenw9bAYbm3JtOeGS/wQznScygn43imoz3aBg5NpmGdTJX0gdOVX1Kkqt3BTj5iPXjIYWwBDdTJOppB4SZUouHEwKYHCG19SWnkzggbnNGknzuV1iT02A8XpzMVXTcU5D22ysCS9tk6D3nDaekU5n1WuqTQGqnDiJund8XJWZztaVm0I30BJVLNXX6fQVWJqaUYjjABlMwHHN1Osa3sDSOFy7RH9fPHaeB7rneWnwPKNMtcztzHQ+n25K61mCMA48bTNdZIzLOqAVTe3ceYKBz4qBZ7b7ZrrU+aj9/NiEcyLwCRH5gymf7xntZWj3pC0SW39/Cng4xrgiIt8H/GvgiU1fivEjwEcAZmdn29fYMXVQyezWoGaCty5eRNKUcOoYK6twxCS4ePIoRQYnH30Pt4JugpvBQjtNYwhBo9w2kjqD36/7cAo3cm121gQjX3gebTVNMxrYgvXw8xSLoCt1k3mpmmhOT4+cEwOjkQOkTN5gHirstBHU7n8xUAUWjAL0u7MKcpKwJPCwwNFFeDkYEGCSv+g8XM5huVRm7vXOvFvmSqoZ8GncnO+z3XsLCSDjIEKAolDGkzaFggmM0/sf+ec+J2InNCVYsXsVqYaVDzuqmeXmNPdAiGSk51a9ilJ9Vs9hq+5v72q9hLlcBaIRsDCCq4sQ8nGhZJLPyJ+3KbkfS+HYo9PnbUwKt4ctBBUkMni1p/68E9Z+IhUbf6wZaVpN0gQznQkUlf9vimZUJioEhKj+zcS+2zTTeVj2CJ2nNhhlGazN1mDkLWDa5YBco236bgeFRVU2xh6A1bDBry1/nFd5iSPZ/7hJ02qTA8lI6jYhHY8ObM5BoKpt6Kbc5nyICz++BoOZKPs637dkz6ov5DHGb9rmnPfFGF8TkZPAvxeRL8UYf2PXRzKB9lIzegWt8ed0DniteUKMcTnGuGK/fxzIROT4Xg2oQy2h+qJbee01Zs6cgSyoqcskt3Kxz7t+6GfoPvUuNdMFrU+VG6N3J2nXmNVAVLLyzfFICu96l56ToJsoN/ORJ4XCdM3Iw5ZddW+GN3uDtSKBstT+Qnlaa0ZJQtVKPcKm0G5QxtMEwQ1jGFctai1muukeOHEBgG5njlTgqWNw6gRVXoxv7AI937uPlmh4L2bOi8DHzsB/NOmvGQq/HQXqCKimZuQMIA1qfx8mDc2oZVIKxsBGUIWj+3VcM2qb6UaJ+qDyLlVelycD564ZGcOpNCNjklkTjMy/kS1D52GqpolLObylD0uLVPlPYIJNO5oOJobpb0XO9MtY+35GKSwdhey4dsktR/o32BjM5Fv5AE2gEVpaiE1sHutIuUkmLl/73iZlmFCFi4+CPmcVAboA1/uwsq7rotlMrtu1JPCsNtPRAg+xNeJVR9xcPpoAMkHg5Zuf56Xhc7z/2A9UpbcmaXfNZ24GMIRcE44dYByUvLX4NJ+RGOD78TgDN07Cpbdpqa3VsDkC9l5RjPE1+/8S8DHU3XJPaC81o98HnhCRR9C6oT8M/PnmCSJyGngjxhhF5D3ou9pRi9o7oS61duHZzbcuXmT2zBm1WZvNONh5HgGUmiaUWzkT76pKUIAbdeq21GNZ6i5RUtvDg6vkLuGbFNU0E0FtpvNxVhqI/e/dQWOh5fs9Wz4E3bC5AWZg8gZLpK44HqTOUr9unT4djEpRRTQiYww8sfGJ1Nqdt61YNk2ja+NZM2nyRoShlbPx8OWdRNOBBp9syDiINCsDdILePw9AvvmZEzMpDZ25Nt6Nd3WtJNiOMeVMn+Fm1tCMTJgYoExV7FljVI10PTWm1txZi/DyBbh0E3rvqPO4QgaPLwAL8Hw+rhmFVgCDazk78bE1v+NzVGmSAotPQPEEvNyF7jVYMN9Mgpl3Yy3VJ6Ex5y3twiuTeHWSSUBZaWdmZvUk7EozwgSjBEYLWjOy+4a292hSpwNnnoJm/cPQAplg44lBhQE3lxfSeh/omo/djAgc7ZzS4KXWnLepMtOFOkKvk+laqLQd0/TWQ23CbL9HWvOVBLh8Hp6dgd8MkA/h3G0IHbtFIjILhBjjLfv9e4H/5V7df8/AKMaYi8hPAr+MvsefizF+XkR+3D7/MNqS9idEJEfjAn44Ro/P2X3qQNUSW7w67sWLzD32mJZKKZWhBKjCoyO24I1Zl53aTEeoG7it5+MSd5Oc4Q1tUzTNdL5ZixYYecSWJ+amGBjZeR4uKwVkfZX+aGpGDTCdREnQ+/pkr5pkft2k9sQ0pUu3XiQCo9EafTdjYVW7bfweTTc0RrBsZqseVNFmG1EjpNYzoBh39u6E+okukE2+HpTxZEkjj2iC7d9DwUcyPs/OVJu+tdCBL74X5q6q2TbPoPD3bhrW0Bi8azSphfmvp2iEYWPu06BV4q8vw0OYCbYcl/wDNRhNiky7UzByM13HAMA9rle6cKOEud74nLrQVDYAuulTas6b++yqWo9TwMgbSJautfic2+cdQYu0dkHOQP4KsLj5WulJu/eGaVpt4c+ERKE2k86nWi8vtII8AlD29eCXVz/DMP2ebec2Qd/LQOpSQBJqn5EnuAZ7TjdFj9UYpGEOtr3t1pFhgHQAbz8P3f1ppHcK+JjoAFPgX8QYf+le3XwvNSM3vX28dezDjd//PvD393IMTfIQ4TJSldq4dfEip7/t21QzQpmwm0TyFBDza5h0J706y9sbuBUdNS2ECUwEGhJV1DprRVMzojaNNP2VG6YFORgJFrZt2oFrVEkO6TwMFrSPUkggsbwWL1k0iRL0nJGZLFeNIS931DTVNenzgVNvpZi7QT57crwqQqiTgD0secM24aoxmtRAYj3RwIsyqrMfaul/p2anpaCllZLGvCEqQCSJmno2zIQyScL1SLGRjNumm9qDfxBQX0PMdM6rQqcNzWjY1ArRZn3BzbfFuMTu68m73g6MMTdrjyWhjkxrj7EaU9iZWbN939jQjDx0+7W+ltw5cXT8fI/MrCqH2zO2gyd8/t08G5lupsPM0l6Xzq/n0Z7O1NczmH0QNr4I/cWJ2AbUZjppj8n2VSjqdTWbwuVsc8RhEChmOiTA7y//BiH9nql7ZexZggo1K6F+fz4XJg9W5jyvpD/Jf9lsDOjJxhtBAxcWlvbEX7QtxRifA9557++stEO59OuDOlBFs3UTKIZD1q9eZf7MmSq3JA2NjWuSsEfehagS1o0H1cbrra3LVBMYpy1mv94QqsoJXhjVmUy7FP8gAcrxiJpuUi9u9xklEcIcbLwTlk9QVbH2jpfTyEGwjMoUVqU2zRUoGOUpLJ15iO8+9UNkcwtjG38MGBuaURm00Z1Lrb2gYORmx4GZgSZFvW1Fjwm8+9F6PnxOPQLKE2wH1Bu+SWkwnxabmQOMRz25RhGizXmieWbuh8vtXXqJmBg13F6cwZbjAQwLaJuB3z2h4/MWHVkTjGwOy8imHjhA1TJiJwEfY88WGiZgqXPLljNgBItL4+cXqWptXl0hSB163aRKGzCQn+Yz8rksEp2/SgO1Z/WeVRLUtLWwCLPfAOHR6c/lSa/tcKiQwItPwfXTNRjNoBGL3Qk+o6JR4mCYTt+/zWcR0fU9jPU79uP+PL6nHaSb76wCLoGkYfUoxJoyThFoDwIdODBy0OllsPL66wAsnj1bhQ47GLlm5ItJAvQL1TpunIJbD9dgFBM1k20FRlX1ZAs0KE1SEwyMWt8ZmJSUNMCoZwBAQuV7CpGq7LxAVejTJfitxuRS8MC0HExyLaL6SooUbh2HT3473Dw6/v2umSoDtVnCS+GsZXUQQc81IzM7DjONbpoUMbYdNf0IAQPmWGuzeabmwEmX9ICNdhtoZ6rRL0r9vkKphVzLVCsHFF17V0kNeonUAQLB3mM7yisD/tgiXDwC/2+/zktqMshg0n6ETT1wQO0nbw0wN7fz+aq0R5ujZp+dWwnaSbRhDkqgav5Y2PwmAeZE6/+1r+1mv6r6yBZmujKYZhRrU5VrEonN3Xqqx/tvB3lw87WcskzrOeYtv1IAlk/D8vFagzwLvKUDiy2zXwKUPd2EEbV2bLcWfdzLPfU7ex6QYWsVkemCnheobfvaPCDKc9G8uvqqa6EHlPbUTHe/keerIOp4XH5Oc4wWzpzhii2ILIyb6WLQwIdU1GTmSY4a7lwnZBbl1iax6NK0m9CampGBQpM2EpDBBM0o6DN4VJ7/PqJmwsE1o2S6tNG8b27/p0HHVa6p5uMVxoc9deY3yXNDnGl6uRt3TAeTgHsBbqSwMlIGN0zrVg/chplu0vgxMJbEpMtMq15Meg9pqPOQ2iX9vRL7WHCEaT3e/Gw4D+W3w8as+hM3cp2DNNR+gVTMpxc3g8mxAKfOwBdvwrlcmXJTMxKoIt/aPXBA19kTp25vjhIaz2TP6GY6T55umgodhAc0zHTA0xmsnx+/to+3gKp9yiQTYqUZBaoiqa5BlTYuQffdxg7Wwnqi6+vaO2BtDZqht21tGXRdPH56wrgC5I2ifnmyvUbigtdKR83DwWrnVQATx8HImweOVay3v6PUEZcuGK6xcx/q1yMdKDBKUIYRYl2XDhSMMpPuU2fgSR0unQh8Swajs9oWwmuRVT1zgi68aZJVUzOaPw4XT0NotL2eZKbbsE3VZFhed06SWhvxN9iUpt2fVASmolFC7aweGRj10NJGYgUcC0vgLAObksZSu4gnGuZmfiOFoqAKc++IgtlKbowrgfVoeSfbJBluRU0wSgyMykSTSad1PfUxtmusVfPWYA4emejPuZ5AcsR8hWbK6jQk2RDML7VFUMZSB67MwY0bZsprAHzAglLiZsC8U2oCbRpqzagAlmV8bdljQqijIkt7LhGYaWlkrlF6gdiSySbEQK3Fj7rKsL11SjNUqRvqiuFb0e8dhc+zmcn7vTAw2M63lqA+I6AqHrudZiTo2Fc6uu/nGn4o1/S8zmAR6mi6icE0UodvB9RikMfaR3wQ6cDhcBrUjJJ16uoLc2fOaKdLdBE7o3OfURK0/PzRo/r7IKkXnmtbxQRp2MmvNwJ1hp9gYjRdk9ZkXLKF2j+VJlSJctE2RNPpnZgG1e6k2h6Tm2Q2DJRmTGNLy7qUj9dck9b43DzpOSheJZyUujJDqKMNl40JklnLDSYHGuyUApvNdNHMZ9MiGkeZzfMkM10DAPzaiTSc60kdHYU/qzBWwDQNjDXAa1MfNfW9kaI5Ki2txAuFtnvg3Ck5c45SV+3Ig1aJGMXNYORrcdgIYJhmNqr2CA3fyJR36eWpii51qSQHOzuns0MwupXARYHl0eb37M8rbL+uEoG8m1n9Saq8we2oygcrtO9Y8zh2f59Hn5c2MLpm1AyAyC3l5E4tBV8PdODAqBfU6Z+mVn0hBGZPniQL9cLxxeyh0U3m4lFZLgkmKNNt5xM0KQG830m7XlWTCZXA/3cavtpV+3Fb0nQwSkLtY3Bz36hx/0SoCotO032rDYMFFwjMBb1eiGZCsA1VGvNokjvUvcp51TI6G/ebeMXtG6Zl0VEw8hyTO2W6bvoM1BqMaxaT9nNCDZiTkjfbpYYItRnW/RlDl+aTOijA22oEMc11C63GnelXss2akVA7vT1E+G6p8s1IHYQzEisDVELSCh+uhCbTeGC6tuAgXjQ1oymMNCTw+jdA/m4zT7lmVN3UNKNks4WgTasmJK5NMPG6JrhVfblq/AL5bGbPmFQtXbaj1DWgEXQa8+cCzJjPyIS4STlvoRUAge0f2YdK3fcLHTil8IkUeqep6tLNnjxJSBKqyva2QJoVgJtqdkdqx6Q3cOsGy8ifthnR+3k772bkkdgJORr6+1wCF6NV7G5db8Hu1Qtq6iqDMreUcdNOgvpPorAlGLlJZsM0oPlEvyzUfVZyB6MWufmqAmCpNaMSNfU1ow2vWR5XzNSUNmxocndCFWCgc1uB0Va5XgkUI8bbO1Az1qZmRNC1kKDMcyUxH1FZ91FyICboNTMHpinroA+INSVMW+HfPr4RbOqBc6fkcxODAqX3TFqx+2QtMGr6Nq1u6NaaEQZGxnSngVEq5necoapZiO8DOycLqrkOSw16mUYrQYMpNuYgbEx+3p0AeSIQU+GB3iOsdwuu7hDEUrH6kPl4U0NPb3Awwtf4hCCdquW95xlh/rcSwgEGowOnGaUCpyx5bvmVV5g7cwZQBi8NAPDoOmF8MbkpxsEIFCBiYGpiRGXSCHXIrBdKdYlqhJlPSnhtwST81vUWge88DsdPUCfWmemjadppgtG0DVb5B8xMF3LNyQgJkNYBCu4/aO/vFPVfOSA4GHkxVc+58l5D66LNCMlUup0Uvnw75PPWBODoGsuEVe0bvmwxegeiTZpRA8i7iWpGA1Gnv4dLNxlPSGrz0zQgyVDTmPf+aVdz9vbnTc35bkjQ+fFnCyhweIHU/oRE0EoA8XndiWYkbCrB1CSvg1glgSbjPhYwgapD3U15AnkR1RMb8PASLLT8WNV72wFXE1R7uVJe4laxrBUidgJGtv+zMP6eExmPpovBzI4TBIvEwHssZy7oHu4cOPWgpgMHRk4rr7/O87/6qzz0bd8GwOMCF+YbeSwm5dLyAWSN475Rew5cU2bTzSVeqLMp+VZARd1ueLWr0VqTpKSso5veo+lG/drZPAZGHQO+KZJWBYJSd53sZlrpwOvzRYsI8sZfTfKAAc9Ad0bfFf2+n+819UYl9ExrWUstQOMuwYgwzszcfDapRK+f79qb0xjDblxLpNag+kHnaGhgJKE2y7oJtpqzMJ0pC7Bg/po2k/c5rDSjXfIdVP6JYKAQFIykgH6rRUEzgGFSt9n2eF3TygNbhuknwaLpbN68j09svKsMC83fAoyqElkJPLkEZ86Nf15pRjtg6AHV2FfjKlnoajWRHcy5m2LboOHRipVwFqab6brBXAVNMBJLfD/APqMDi8PPfPjDlKMR7/mrfxXQ8O2HGg0uPEosaUk2rjHQcKB6+O80BuKbpOkzape1GWGJlaK+jcEGVcmiSVQc1XpWgxz6LYBzMIrbgZGBzXoAyRXo3h1h9XjNWAsH3xbNoUWV+6HuCOvFUdeTGiS84vYowqwx2Rs9Le3TuQtRqC0FO4AUTH4Pzmhdo3HySzQ1ox7wxxLoHrW/E7ieqVTuya2eJOtSsJv0mgA5ieZTrd03KRKsWUJmtxIf3cfpPZNy0erpyWDc5+FjcCbqTQq3CoDxaLqRAC2zY3sM3kvKNSNn3h4Yk6LgMKkRo9OG+wS3WNMZUw0UYyTofH/ggf+SmPV51jXbbcjLaCUtrbKKqjRrQAza20sm1El8q8DV42yK3iw52NF0B/LR88GAZ/7BP+CJP/WnOPbEpo4VgNpzXQNqMgZnOBT1IvPIsmmSlW/c3FTxSP3d6jPMdxOhnIX81vRNB7qhX78A6wNNSmxeswlGbNV4zZjEWoDUzAZzwNxpuGkXcp/RpLyX9x0FjsIL9gwlysRiI5s9RTdwHjWBNBG42oOygJmZ6c+3HVVScFI/sxctneozsg0/qYJzLuPayulZtIsg6j8Z9DSh1qPrms7qmNSBLzGBTY1SGjQToOyg3XobJNT+Gg+S2A1yzSgxACyC1g5M882dRF2D9+rkskVkoB/OXTMabW2mGwbThgvVCDwqzd9Vav9M6n3l5GAkW3S2/Y4uDCZ1TZtwbp5A5/HHtLMsOwMC3/9pa2/6PBPUnB57msslo81glAGnGzljzgOScvN1DxIdSDB64dd/ndVLl/imn/iJqed4lFRbza7AqOEoz1C/yDT7eoCqanTVBM8+EzuhEDVfJSMtXplnm0uYtK+JMa+26S9By+3nGVOjc/w5Rmgr87ZU6OanwRYrpBkR6D6jvoNRqJ+vE1SCDqn+frOnGlTvLsGoSt+nBolpPpumZtR+T554Oe39dVB/Rr4OMzJ+nwSq/jmF3WMrAbsPxC6E4ebniaJ+hmmAeidU+SdC7bu5EdQcNKkYKwYcHhE57WFcGHCfUSg3g3xzDGVQoSdYVRE3SzbNdGWiUXLTaN3muLMFw+6k0FmY/nlz/GUKV85qjb4i7ByMygR6LUCsQFv0WRY6qv33tzB1NscSg4HRgeTISru05N9ctPzyywCcfOqpqeeEpDZPjTkq0YXTBCkvwLqVmu9Vo9v5G86EcoHVRCXmEwYkW20OX8Bu32+GySbAlUfhK++EcsrGrMAsqDTajoRyKXnooDx9KBVjidE0oxaj6yXmd8rqyMOygNn+1EtuSz4+ByOh9udNckT7PMe4OWQ+wJYmqQwF2JE56T23qAprT+qWBWUynSmDKltFd4J2Zv8Mw+76jFJ7d8HAaMPNjRPWVtu32W593iSxf8pQR0ZulfRdpNYCxDqY+vpvakYx1UCXabRhZuXdMGWJjakMahYPrTqQ06gDEGBmEhiZZgRwoqvvUraozFJ91/456JrRwQSjV18FYN4i6SZRZYppmSoqv0ADjE4ADwaY34K5Btvg3m67aabzdtC3El2Q5zKYl83SV5M8iXEgtWbUBCMJMJiZXljTpeC1bHLknl9j2GD2U5/NTgjR/GfZOGPvG7CHjtV6A9Ih9Ge3uOg21AHeEeD0fH2syvOZohnFZNw3VH3WYNjT7uUln8TByC56HDhdQL9nYJRu3RhtHvimHpw4MX7cmXuVZ7RLO9MFJG8FsdzTJpHdCWvLtZ2RabLbmekE1VS8Tt80cu1xLUBSqPTvZi0XWjI7cX0LEB4kus67u8Cwfd95w8F23tc0ehB4xwzMt4Q8v54/z1KAcsbm9DY0o0lCwkGhA/not159ldmTJ0naRvMGeYQVjDOpKtmzcbwDvHNC/asmVcmykzQjA6NlUWZ+FPjWR7d2YvdR0+C1DM41mKNfU+xeW+WJiJkGJyXbVVJyUjPraeSmxiSq5iOM17LrBv27m1gYPJBN8FncLp1r+HVAQWA4AWxseNX7nGam2wqMSq8/aGA0Cnr+DPBuK+o5A5wXmN8GZE9PKHbqgL7RWh93S76Og/tpRHN55o9NHoME8206GG2h7XhodyFbS/8BjfxcKeqQ9klVyUPQ9TjN5+ZRn+12EHdCYmMqgvqOdgpGKfDAyc3HfT5co10CitnJwT+TvutC0m4JIW9GOpCPfuu115g/e3bLcyRQzc52ZrqdkNvrmx00oQaF9VTNJ1WJkLA9GCUZXOlQtX32DS5YPkSYnojoYLOWUXUdbZIzpqGbK7dhNlF0Q/dTeFRgqSF5ZxgYpXWL6V62exFj1X1Mop8ERon/IxP8YxOEjrHrokzGG8ilpjW3GWoGPHVqc4XonZDPoXcRvp21tRX1RYNT3EwHkK5pz5w2udVzSK0ZTWOOQi3wtBsWtilgYdTUcz/JTCdh62KpGwFCvjNz2nbkYyqSWjO6G62kAiN7ri4w19V77Oi7YddiVt60dGA1o/kHtg658cisdgVmZ2q3DUbBipfKeOSbm2dWMi3RslNtIaBJqtc6cMNs6TONt5mKVXHYRrJdNzNdG4wqxpSMm1MmkT9DQMHvG3qoPcroBHCl1BYQng/Uzv7fDeoYAE/SKvx5YXI0HWytGUliIdyNSgu7WWHZtcuhrbvb6Vu0FT0OHD+lDNz9GjMy2UwHFvmY7MxnFDAz3TbgmaBMfyCaXA6N6DOpz0mCmelyeLWnIHpqUF9nPYGwvjt+lYCaDkvRIqXtFI47uZ4ne4M+1nt62mNsJ98lUPU3Oqh0cDWjbcDIN26bEbv92yXDnVLm/oAJZjoRTXQtIpvqhW1FCxncNO2IfNw8VDmutwg3l2CakUyO3EvNTLdFgFN1LUwzmuS8XwTe+wjMzddaUucu/EXTyJvATdOMJIz7+qrPtgGjBJXoPWquWWVit6jSjFrCym5c9+gR6jB0gd789PNTrEcR269xkTpdYavzfH3kJVUJnGruGs/ZkVoz+u1j8G9azHlF9B3vxtwIulbKRMHobvFN2KzRzgQ4Pd0tXVG1fw64anTgwKgYDlm9dGlbM51XYGhvMteMbndDeJ/7EYxlq/tCXM0sUug2dsVcAmuz8FoK2QbMNnwRlTlkC81IbPNPy7HIgibiNpMTJ5Fgpku2n5eTwGlgcQfht7dLXhViWisDrzDejlQ7KjA33FoL6Jlm5JUMyika2J2SA4VrRnvRZM2j/ea3MCN6C+yces6mUUCFlWklmJrnEczn1gCjdtWSbqJVSErgmsBVqcsDRazV9y6CdDQzXZ7ePRAETBC6g/dWRYYe4Eg6OIBmujVrG7GwEzPdhIXlUWy36+8IJrWP4riJL6DM7kbP2jjchnO2j5YDem3VqpE33qZHdE0LEXYzXB40imdS7sZiAsvdOplv6rPZBXeyEfvA01t08bwb8iz+SYylaaZrM87zAufetrWZpmeMMg11ZN5uAoab6UaBiT1wdoPOoVrw4pHp53igTSFbB62ArumhR0dusz5i0EK5bg52gGreZCGBq124uaoJxut9WLsOnz8BbyTqy9quT9FOSVCz+dCq24e75IQuTNyJH7QPXBBY2EJjPQh04DSjNWuot61m5PbsCZqRty6/HUrQvIaRX9a+3wEeFA237ayOt4HejmaAsgdrQ+i2EkjTKYx3bExuEpoSSXQk0bbjFx+Cm49Mv05lotgDaf52aAlYyCcXm3TpU5jM6LdLNvRcqU7SAKNd3D3OnCvNaA925hzw5KNb+yWTUBc13Y6xCnXwzFZ5UR70U1Cvs8rh3zJrrc/CxaAmvUEHlku42IVPRbgxmB6Qc7vkmszIKq3IXUboOeDeiYAiwBPzcGprlvR1TwdPM/Ico+18RqGuXNykSqW+TWYRUBPJaKRmOt+EArx9DuJTWo/udsGIrgJc2w+wJHCr2HrzBgejfDIYLQH5Alw9BZ2jamKb9my7GQF2p3QM+LYHp2tGVXHaO2BoHfdHJZYEG/YggAHVjG43OGY3KRWtdDBiezDyMj9ZZMvipA60ZazNwZMEmBmg6MHzHb1/nsANgWtB39lKqibe3SA3WQ4zq3hxl2Dkpur9FsjezHTgwGjVwGhbM10HbhyH2WL8eKUZ3SZDC5h9WmBSNWQR6N1mRYIOGo4aZHM5/YeBM49vHXmUinVGLSaHtc6ixTSLZOtN5pre/bARp0UkuVlyJ36tSXQKldKzDpxFNYL+XZQzalPlO+xo3bj9AqNETGhiezOdCKx1Yc7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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "fig, ax1 = plt.subplots()\n", + "ax2 = ax1.twinx()\n", + "\n", + "pd.DataFrame(mimo_noisy[:,:,0], columns = ['participant 0', 'participant 1', 'participant 2']).plot(kind='area', alpha = .5, cmap = 'cool', ax=ax1)\n", + "ax1.plot(time, np.sum(mimo_noisy[:,:,0],1), 'k-.', alpha=.5)\n", + "plt.xlabel('time')\n", + "plt.ylabel('total tokens staked')\n", + "plt.title('step_up tokens staked for proposal 0')\n", + "\n", + "ax2.plot(time, mimo_noisy_response[:,0], 'k')\n", + "ylim= ax1.get_ylim()\n", + "ax2.set_ylim(0, ylim[1]/(1-alpha))\n", + "\n", + "plt.xlabel('time')\n", + "ax1.set_ylabel('total tokens staked')\n", + "ax2.set_ylabel('conviction accumulated')\n", + "plt.title('Support for Proposal 0')\n", + "\n", + "fig, ax1 = plt.subplots()\n", + "ax2 = ax1.twinx()\n", + "\n", + "pd.DataFrame(mimo_noisy[:,:,1], columns = ['participant 0', 'participant 1', 'participant 2']).plot(kind='area', alpha = .5, cmap = 'cool', ax=ax1)\n", + "ax1.plot(time, np.sum(mimo_noisy[:,:,1],1), 'k-.', alpha=.5)\n", + "plt.xlabel('time')\n", + "plt.ylabel('total tokens staked')\n", + "plt.title('step_up tokens staked for proposal 1')\n", + "\n", + "ax2.plot(time, mimo_noisy_response[:,1], 'k')\n", + "ylim= ax1.get_ylim()\n", + "ax2.set_ylim(0, ylim[1]/(1-alpha))\n", + "\n", + "plt.xlabel('time')\n", + "ax1.set_ylabel('total tokens staked')\n", + "ax2.set_ylabel('conviction accumulated')\n", + "plt.title('Support for Proposal 1')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In plot series 7 above, we can see the granular dynamic inputs of 3 participants staking & unstaking tokens, and the resulting dynamic conviction acting as an aggregator of collective preference." + ] + }, + { + "cell_type": "code", + "execution_count": 143, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": "(0.0, 29.900825998373286)" + }, + "metadata": {}, + "execution_count": 143 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "fig, ax1 = plt.subplots()\n", + "\n", + "ax2 = ax1.twinx()\n", + "ax1.plot(time, np.sum(mimo_noisy, 1), '.--', alpha=.3)\n", + "ax2.plot(time, mimo_noisy_response)\n", + "\n", + "ax1.set_xlabel('time')\n", + "ax1.set_ylabel('Tokens Staked', color='blue')\n", + "ax2.set_ylabel('Conviction Accumulated', color='orange')\n", + "\n", + "plt.title('Conviction and tokens staked for proposals 0 and 1')\n", + "\n", + "\n", + "ylim= ax1.get_ylim()\n", + "ax2.set_ylim(0, ylim[1]/(1-alpha))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In plot 8 above, we can see the aggregate inputs (tokens staked/unstaked) and the aggregate outputs (conviction accumulation/decay) of a noisy input process, more accurately representing the behavior of these systems in live deployment." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.5-final" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file diff --git a/models/v3/Trigger_Function_Explanation.ipynb b/models/v3/Trigger_Function_Explanation.ipynb new file mode 100644 index 0000000..a75e4db --- /dev/null +++ b/models/v3/Trigger_Function_Explanation.ipynb @@ -0,0 +1,602 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "tags": [] + }, + "source": [ + "# The Trigger Function\n", + "\n", + "## Transforming Continuous Preferences into Discrete Events\n", + "\n", + "This notebook is a mathematical deep dive into the derivation of the Trigger Function used in Conviction Voting for the 1Hive use case.\n", + "\n", + "The role of the trigger function in the conviction voting algorithm is to determine if a sufficient amount of conviction has accumulated in support of a particular proposal, at which point it passes from being a candidate proposal to an active proposal. \n", + "\n", + "In the 1Hive use case for conviction, proposals map to precise quantities of resources $r$ requested from a communal resource pool $R$ (which is time varying $R_t$ but we will drop the subscript for ease of reading). Furthermore, there is a supply of governance tokens $S$ which are being used as part of the goverance process. In the implementation the quantity $S$ will be the effective supply which is the subset of the total Supply for the governance token in question. \n", + "\n", + "We assume a time varying supply $S_t$ and thereforewe can interpret $S_t$ as the effective supply without loss of generality. From here forward, we will drop the subscript and refer to $S$ for ease of reading. The process of passing a proposal results in an allocation of $r$ funds as shown in the figure below.\n", + "\n", + "![](images/stockflow_cv_trigger.png)\n", + "\n", + "The trigger function is characterized by a set of parameters in addition to the current state of the system: $R$ and $S$. Those parameters are $\\alpha$, $\\beta$ and $\\rho$.\n", + "\n", + "* $\\alpha \\in (0,1)$ is the conviction rate parameter defined in the [Deriving Alpha notebook](https://nbviewer.jupyter.org/github/BlockScience/Aragon_Conviction_Voting/blob/master/models/v3/Deriving_Alpha.ipynb) and should be tuned according to a desired half life.\n", + "\n", + "* $\\beta\\in (0,1)$ is the asymptotic limit for trigger function. It is impossible to discharge more than $\\beta$ share of funds. \n", + "\n", + "* $\\rho \\in (0, \\beta^2)$ is a the scale factor for trigger function. Note that we require $0<\\rho <\\beta^2$ \n", + "\n", + "The trigger function is defined by: $y^*(r) = \\frac{\\rho S}{(1-\\alpha)\\left(\\beta^2 - \\frac{r}{R}\\right) }$\n", + "\n", + "The geometric properties of this function with respect to the parameter choices are shown here:\n", + "\n", + "![](images/trigger_geometry.png)\n", + "\n", + "On this plot we can see that there is a maximum conviction that can be reached for a proposal, and also a maximum achievable funds released for a single proposal, which are important bounds for a community to establish for their funding pool.\n", + "\n", + "Note that by requiring that: $0<\\rho <\\beta^2$ the following holds $0<\\frac{\\rho}{\\beta^2}<1$ and $0<\\beta - \\sqrt \\rho <\\beta <1$" + ] + }, + { + "cell_type": "code", + "execution_count": 434, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "import warnings\n", + "warnings.filterwarnings(\"ignore\")\n", + "\n", + "from cadCAD.configuration.utils import config_sim\n", + "from model.parts.utils import *\n", + "from model.parts.sys_params import * " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Reader Tutorial:\n", + "\n", + "Feel free to pull parameters out of the existing files or use this notebook to ovewrite them with your own choices to see how the plots are affected." + ] + }, + { + "cell_type": "code", + "execution_count": 436, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": "{'sentiment': 0.6, 'n': 30, 'm': 7, 'funds': 4867.21, 'supply': 22392.22}" + }, + "metadata": {}, + "execution_count": 436 + } + ], + "source": [ + "initial_values" + ] + }, + { + "cell_type": "code", + "execution_count": 438, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": "{'beta': [0.2],\n 'rho': [0.0025],\n 'alpha': [0.7937005259840998],\n 'gamma': [0.001],\n 'sensitivity': [0.75],\n 'tmin': [1],\n 'min_supp': [1],\n 'base_completion_rate': [45],\n 'base_failure_rate': [180],\n 'base_engagement_rate': [0.3],\n 'lowest_affinity_to_support': [0.3]}" + }, + "metadata": {}, + "execution_count": 438 + } + ], + "source": [ + "params" + ] + }, + { + "cell_type": "code", + "execution_count": 440, + "metadata": {}, + "outputs": [], + "source": [ + "supply = initial_values['supply']\n", + "funds = initial_values['funds']\n", + "\n", + "alpha = params['alpha'][0]\n", + "beta = params['beta'][0]\n", + "rho = params['rho'][0]\n" + ] + }, + { + "cell_type": "code", + "execution_count": 442, + "metadata": {}, + "outputs": [], + "source": [ + "def trigger(requested, funds, supply, alpha, beta, rho):\n", + " '''\n", + " Function that determines threshold for proposals being accepted.\n", + " Refactored slightly from built in to be explicit for demo\n", + " '''\n", + " share = requested/funds\n", + " if share < beta:\n", + " threshold = rho*supply/(beta-share)**2 * 1/(1-alpha)\n", + " return threshold \n", + " else: \n", + " return np.inf" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Simple derivations:\n", + "\n", + "We can plug in some boundary conditions to determine our minimum required and maximum achievable conviction. We can also determine the maximum achievable funds a proposal is able to request, to understand the upper bounds of individual proposal funding.\n", + "\n", + "* min_required_conviction = $y^*(0) = \\frac{\\rho S}{(1-\\alpha)\\beta^2}$\n", + "\n", + "* max_achievable_conviction = $\\frac{S}{1-\\alpha}$\n", + "\n", + "* min_required_conviction_as_a_share_of_max = $\\frac{\\rho S}{(1-\\alpha)\\beta^2} \\cdot \\frac{1-\\alpha}{S} = \\frac{\\rho}{\\beta^2}$\n", + "\n", + "* To compute the max_achievable_request solve: $\\frac{S}{1-\\alpha} = \\frac{\\rho S}{(1-\\alpha)\\left(\\beta-\\frac{r}{R}\\right)^2}$\n", + "\n", + "* max_achievable_request = $r = (\\beta -\\sqrt\\rho)F$" + ] + }, + { + "cell_type": "code", + "execution_count": 444, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": "min_required_conviction =6783.893932236272\nmax_achievable_conviction =108542.30291578037\n\nmin_achievable_conviction_as_a_share_of_max_achievable_conviction =0.06249999999999999\n\nmax_achievable_request =730.0815000000001\ntotal_funds =4867.21\n\nmax_achievable_request_as_a_share_of_funds =0.15000000000000002\n" + } + ], + "source": [ + "min_required_conviction = trigger(0, funds, supply, alpha, beta, rho)\n", + "print(\"min_required_conviction =\"+str(min_required_conviction))\n", + "\n", + "max_achievable_conviction = supply/(1-alpha)\n", + "print(\"max_achievable_conviction =\"+str(max_achievable_conviction))\n", + "print(\"\")\n", + "print(\"min_achievable_conviction_as_a_share_of_max_achievable_conviction =\"+str(min_required_conviction/max_achievable_conviction))\n", + "print(\"\")\n", + "max_request = beta*funds\n", + "max_achievable_request = (beta - np.sqrt(rho))*funds\n", + "print(\"max_achievable_request =\"+str(max_achievable_request))\n", + "print(\"total_funds =\"+str(funds))\n", + "print(\"\")\n", + "print(\"max_achievable_request_as_a_share_of_funds =\"+str(max_achievable_request/funds))\n", + "\n", + "granularity = 100 \n", + "\n", + "requests = np.arange(0,.9*max_request, max_request/granularity)\n", + "requests_as_share_of_funds = requests/funds\n", + "conviction_required = np.array([trigger(r, funds, supply, alpha, beta, rho) for r in requests])\n", + "conviction_required_as_share_of_max = conviction_required/max_achievable_conviction\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Plot series 1: \"Absolute Terms\" \n", + "\n", + "These plots demonstrate the trigger function based on alpha, Supply and Funds as above." + ] + }, + { + "cell_type": "code", + "execution_count": 446, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": "Text(0, 0.5, 'Conviction Required to Pass')" + }, + "metadata": {}, + "execution_count": 446 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "plt.plot(requests, conviction_required)\n", + "ax= plt.gca().axis()\n", + "plt.vlines(max_request, 0, ax[3], 'r', '--')\n", + "plt.vlines(max_achievable_request, 0, ax[3], 'g', '--')\n", + "plt.hlines(max_achievable_conviction, 0, max_request, 'g', '--')\n", + "plt.hlines(min_required_conviction, 0, max_request, 'k', '--')\n", + "plt.title(\"Sample Trigger Function in Absolute Terms; Linear Scale\")\n", + "plt.xlabel(\"Resources Requested\")\n", + "plt.ylabel(\"Conviction Required to Pass\")" + ] + }, + { + "cell_type": "code", + "execution_count": 448, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": "(0.0, 119396.53320735841)" + }, + "metadata": {}, + "execution_count": 448 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "plt.figure(figsize=(10, 7))\n", + "plt.plot(requests, conviction_required)\n", + "ax= plt.gca().axis()\n", + "plt.vlines(max_request, 0, ax[3], 'r', '--')\n", + "plt.vlines(max_achievable_request, 0, ax[3], 'g', '--')\n", + "plt.hlines(max_achievable_conviction, 0, max_request, 'g', '--')\n", + "plt.hlines(min_required_conviction, 0, max_request, 'k', '--')\n", + "plt.title(\"Sample Trigger Function in Absolute Terms; Linear Scale\")\n", + "plt.xlabel(\"Resources Requested\")\n", + "plt.ylabel(\"Conviction Required to Pass\")\n", + "plt.gca().set_ylim(0, max_achievable_conviction*(1.1))" + ] + }, + { + "cell_type": "code", + "execution_count": 450, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "plt.plot(requests, conviction_required)\n", + "ax= plt.gca().axis()\n", + "plt.vlines(max_request, 0, ax[3], 'r', '--')\n", + "plt.vlines(max_achievable_request, 0, ax[3], 'g', '--')\n", + "plt.hlines(max_achievable_conviction, 0, max_request, 'g', '--')\n", + "plt.hlines(min_required_conviction, 0, max_request, 'k', '--')\n", + "plt.title(\"Sample Trigger Function in Absolute Terms; Log Scale\")\n", + "plt.xlabel(\"Resources Requested\")\n", + "plt.ylabel(\"Conviction Required to Pass\")\n", + "plt.gca().set_yscale('log')" + ] + }, + { + "cell_type": "code", + "execution_count": 451, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": "(3391.946966118136, 217084.60583156074)" + }, + "metadata": {}, + "execution_count": 451 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "plt.figure(figsize=(10, 7))\n", + "plt.plot(requests, conviction_required)\n", + "ax= plt.gca().axis()\n", + "plt.vlines(max_request, 0, ax[3], 'r', '--')\n", + "plt.vlines(max_achievable_request, 0, ax[3], 'g', '--')\n", + "plt.hlines(max_achievable_conviction, 0, max_request, 'g', '--')\n", + "plt.hlines(min_required_conviction, 0, max_request, 'k', '--')\n", + "plt.title(\"Sample Trigger Function in Absolute Terms; Log Scale\")\n", + "plt.xlabel(\"Resources Requested\")\n", + "plt.ylabel(\"Conviction Required to Pass\")\n", + "plt.gca().set_yscale('log')\n", + "plt.gca().set_ylim(min_required_conviction/2, max_achievable_conviction*2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Plot series 2: \"Relative Terms\" \n", + "\n", + "This set of plots looks at what happens when we knock out the dependence on alpha and supply, as well as treating requests as share of total funds." + ] + }, + { + "cell_type": "code", + "execution_count": 452, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": "Text(0, 0.5, 'Conviction Required to Pass as share of max achievable')" + }, + "metadata": {}, + "execution_count": 452 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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+ }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "plt.plot(requests_as_share_of_funds, conviction_required_as_share_of_max)\n", + "ax= plt.gca().axis()\n", + "plt.vlines(max_request/funds, 0, ax[3], 'r', '--')\n", + "plt.vlines(max_achievable_request/funds, 0, ax[3], 'g', '--')\n", + "plt.hlines(1, 0, max_request/funds, 'g', '--')\n", + "plt.hlines(min_required_conviction/max_achievable_conviction, 0, max_request/funds, 'k', '--')\n", + "plt.title(\"Sample Trigger Function in Relative Terms; Linear Scale\")\n", + "plt.xlabel(\"Resources Requested as a share of Total Funds\")\n", + "plt.ylabel(\"Conviction Required to Pass as share of max achievable\")" + ] + }, + { + "cell_type": "code", + "execution_count": 453, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": "(0.0, 1.1)" + }, + "metadata": {}, + "execution_count": 453 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "plt.figure(figsize=(10, 7))\n", + "plt.plot(requests_as_share_of_funds, conviction_required_as_share_of_max)\n", + "ax= plt.gca().axis()\n", + "plt.vlines(max_request/funds, 0, ax[3], 'r', '--')\n", + "plt.vlines(max_achievable_request/funds, 0, ax[3], 'g', '--')\n", + "plt.hlines(1, 0, max_request/funds, 'g', '--')\n", + "plt.hlines(min_required_conviction/max_achievable_conviction, 0, max_request/funds, 'k', '--')\n", + "plt.title(\"Sample Trigger Function in Relative Terms; Linear Scale\")\n", + "plt.xlabel(\"Resources Requested as a share of Total Funds\")\n", + "plt.ylabel(\"Conviction Required to Pass as share of max achievable\")\n", + "plt.gca().set_ylim(0, 1.1)" + ] + }, + { + "cell_type": "code", + "execution_count": 454, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "plt.plot(requests_as_share_of_funds, conviction_required_as_share_of_max)\n", + "ax= plt.gca().axis()\n", + "plt.vlines(max_request/funds, 0, ax[3], 'r', '--')\n", + "plt.vlines(max_achievable_request/funds, 0, ax[3], 'g', '--')\n", + "plt.hlines(1, 0, max_request/funds, 'g', '--')\n", + "plt.hlines(min_required_conviction/max_achievable_conviction, 0, max_request/funds, 'k', '--')\n", + "plt.title(\"Sample Trigger Function in Relative Terms; Log Scale\")\n", + "plt.xlabel(\"Resources Requested as a share of Total Funds\")\n", + "plt.ylabel(\"Conviction Required to Pass as share of max achievable\")\n", + "plt.gca().set_yscale('log')" + ] + }, + { + "cell_type": "code", + "execution_count": 455, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": "(0.031249999999999997, 2)" + }, + "metadata": {}, + "execution_count": 455 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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+ }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "plt.figure(figsize=(10, 7))\n", + "plt.plot(requests_as_share_of_funds, conviction_required_as_share_of_max)\n", + "ax= plt.gca().axis()\n", + "plt.vlines(max_request/funds, 0, ax[3], 'r', '--')\n", + "plt.vlines(max_achievable_request/funds, 0, ax[3], 'g', '--')\n", + "plt.hlines(1, 0, max_request/funds, 'g', '--')\n", + "plt.hlines(min_required_conviction/max_achievable_conviction, 0, max_request/funds, 'k', '--')\n", + "plt.title(\"Sample Trigger Function in Relative Terms; Log Scale\")\n", + "plt.xlabel(\"Resources Requested as a share of Total Funds\")\n", + "plt.ylabel(\"Conviction Required to Pass as share of max achievable\")\n", + "plt.gca().set_yscale('log')\n", + "plt.gca().set_ylim(min_required_conviction/max_achievable_conviction/2,2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Plot series 3: Heat Maps\n", + "\n", + "The next set of plots show the simultaneous variation of multiple parameters with a focus on alpha and supply.\n", + "\n", + "Note: that i am using params stored in the supporting files, this won't have changed even if you have edited the plots above" + ] + }, + { + "cell_type": "code", + "execution_count": 456, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": "{'beta': [0.2],\n 'rho': [0.0025],\n 'alpha': [0.7937005259840998],\n 'gamma': [0.001],\n 'sensitivity': [0.75],\n 'tmin': [1],\n 'min_supp': [1],\n 'base_completion_rate': [45],\n 'base_failure_rate': [180],\n 'base_engagement_rate': [0.3],\n 'lowest_affinity_to_support': [0.3]}" + }, + "metadata": {}, + "execution_count": 456 + } + ], + "source": [ + "params" + ] + }, + { + "cell_type": "code", + "execution_count": 457, + "metadata": {}, + "outputs": [], + "source": [ + "supply_sweep = trigger_sweep('effective_supply',trigger, params, supply)" + ] + }, + { + "cell_type": "code", + "execution_count": 458, + "metadata": {}, + "outputs": [], + "source": [ + "alpha_sweep = trigger_sweep('alpha',trigger, params, supply)" + ] + }, + { + "cell_type": "code", + "execution_count": 459, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "trigger_grid(supply_sweep, alpha_sweep)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "These plots demonstrate that the trigger functions the share of of max conviction required to pass a proposal remains constant under variations in both alpha and effective supply -- both of these variables scale the the conviction required to pass a proposal and the max conviction possible by the same amount." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.5-final" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file