\n",
" \n",
"## Introduction\n",
" \n",
"As you know, a new epidemic has overwhelmed the world, COVID-19 jeopardizes people and changes our habits. It is easy to realise that knowing how illnesses spread is vital to our own protection. How can we predict whether a disease will cause an epidemic, how many people it will infect, which people it will infect, and whether or not it is dangerous to society as a whole ? Also, how can we determine which techniques to use in fighting an epidemic once it begins ? One way to answer all of these questions is through **mathematical modeling**.\n",
"\n",
"In this work you will have to review different epidemic modelings relying all on the representation by graphs of a human network called a **contact network**. A vertex in a contact network represents an individual and an edge between two vertices represents a contact between two individuals. The disease only spread from individual to individual if they are in contact, so through the edges. This representation is actually really common in research, and a lot of state-of-the-art modeling are built over it. From these different models you will be asked to draw conclusions from experiments on varying contact networks.\n",
"\n",
"For readability and ease of use, this project will be carried on a Jupyter Notebook, hence code and question answering have to be written in this unique file. This is a **DUO** project, no group of one person will be accepted, the duo has to be composed of same TD group students, if the number of students in the TD group is odd we will accept one group composed of three students. It will be coded in Julia using the LightGraphs package. **BEWARE:** \n",
" \n",
"- If the code does not provide good results, its readability as well as its comments are essential for the corrector to potentially find some notation points.\n",
"- The specifications of the functions have to be strictly respected.\n",
"- Do not neglect written questions they stand for an important part of the notation, you are not only evaluated on the coding. Also, even so a written question may not ask you directly to code or provide results from code, support your arguments when possible with a runable example is very welcome and sometimes even expected.\n",
"- Any initiatives and additional efforts bringing contents and thoughts out of the question scope may result in bonus points if pertinent.\n",
"\n",
"Deliverable: You will deliver your work on moodle before **23.01.2022** in a **.tar** containing the notebook with your codes and your written answers, and the different graph figures in .png you will generate. The corrector will use the student N7 computers for running your code, so take care of verifying that your work is running as expected on these computers !\n",
"\n",
"LightGraphs documentation: "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"\n",
"## Environment and packages installation\n",
"\n",
"**mathematical modeling**: For evaluation, coding questions have to run with no additional packages ! Only the ones present here ! However if you want to use another package to go further in your answer and add bonus contents, take care of separating the cells and precising which packages you are using."
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"┌ Warning: type LightGraphs.SimpleGraphs.SimpleGraph{Int64} does not exist in workspace; reconstructing\n",
"└ @ JLD2 /home/laurent/.julia/packages/JLD2/AilrO/src/data/reconstructing_datatypes.jl:456\n",
"┌ Warning: type LightGraphs.SimpleGraphs.SimpleGraph{Int64} does not exist in workspace; reconstructing\n",
"└ @ JLD2 /home/laurent/.julia/packages/JLD2/AilrO/src/data/reconstructing_datatypes.jl:456\n",
"┌ Warning: type LightGraphs.SimpleGraphs.SimpleGraph{Int64} does not exist in workspace; reconstructing\n",
"└ @ JLD2 /home/laurent/.julia/packages/JLD2/AilrO/src/data/reconstructing_datatypes.jl:456\n",
"\u001b[32m\u001b[1m Activating\u001b[22m\u001b[39m project at `~/Documents/Cours/ENSEEIHT/S7 - Graphes/projet`\n",
"\u001b[32m\u001b[1m No Changes\u001b[22m\u001b[39m to `~/Documents/Cours/ENSEEIHT/S7 - Graphes/projet/Project.toml`\n",
"\u001b[32m\u001b[1m No Changes\u001b[22m\u001b[39m to `~/Documents/Cours/ENSEEIHT/S7 - Graphes/projet/Manifest.toml`\n"
]
}
],
"source": [
"# TO RUN ONCE\n",
"using Pkg\n",
"Pkg.activate(\".\") # Path to Manifest.toml and Project.toml\n",
"Pkg.resolve()"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"\u001b[32m\u001b[1m Activating\u001b[22m\u001b[39m project at `~/Documents/Cours/ENSEEIHT/S7 - Graphes/projet`\n"
]
}
],
"source": [
"# Import packages\n",
"using Pkg\n",
"Pkg.activate(\".\") # Path to Manifest.toml and Project.toml\n",
"\n",
"using Graphs\n",
"using Graphs: smallgraph\n",
"using Graphs: stochastic_block_model\n",
"using Graphs: barabasi_albert\n",
"using Graphs: random_regular_graph\n",
"using GraphPlot\n",
"\n",
"using Colors\n",
"using CairoMakie\n",
"using StatsBase\n",
"using Plots\n",
"using JLD2\n",
"using Compose\n",
"using Random"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"\n",
"## Part 1 - SIS model\n",
"\n",
"SIS is a compartmental model, ie a model where the population is divided into subgroups that represent the disease status of its members. SIS stands for Susceptible $\\rightarrow$ Infected $\\rightarrow$ Susceptible where the susceptible group contains those who remain susceptible to the infection, and the infected group consists of those who not only have the disease but are also in the contagious period of the disease.\n",
"\n",
"\n",
"Combine with a contact network approach, this model can capture contact patterns (family, company, friends). Each vertex represents an individual in the host population, and contacts between two individuals are represented by an edge that connects the two. The probability of transmitting the disease from an infected to a susceptible individual along one of these edges or contacts is $\\beta$ (=**mathematical modeling**).\n",
"\n",
"In order for a disease to begin spreading through a network, the disease must be introduced into the population, either through infecting a proportion of the population or through infecting one individual. As time moves forward, the disease will spread away from those initially infected, and two things may occur simultaneously at each time step $t$. First, each infected individual will spread disease to each of its contacts with a probability $\\beta$. Secondly, each infectious individual will recover at a rate, $\\alpha$, at which point the individual will then no longer infect any of its contacts. After the disease has run its course, we can determine how the disease affected the network by calculating various quantities that help us better understand the outbreak.\n",
"\n",
"###### P. Van Mieghem, J. Omic, R. E. Kooij, _“Virus Spread in Networks”_, IEEE/ACM Transaction on Networking (2009)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
" \n",
"### 1.2 Introduce the infection\n",
" \n",
"We denote by `state` a vector containing the disease status of each vertex where Susceptible=0 and Infected=1. Then `state` is an `Array{Int32,1}` of length the number of vertices. This array in addition of a graph (represented internally by an adjacency matrix or an adjacency list) will be the data structure of our model.\n",
" \n",
"In `Array{Int32,1}`, `Int32` refers to the kind of data in the array, here 32 bits integers, `1` refers to the dimension of the array, here we have a 1-dimensional structure so a vector"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"\n",
"Question 2 (written): What do you think/predict about the influence of the initial number of infected people and their locations on the evolution of an SIS model epidemic ?\n",
"\n",
"> Plus le nombre initial d'infectés sera élevé, et plus l'épidémie va se propager rapidement. De plus, plus la répartition initial des infectés dans la population est uniforme, plus la propagation de l'épidemie sera rapide."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"\n",
"### 1.4 Simulate and understand the epidemic\n",
" \n",
"In the SIS model of this project, every disease is characterized by:\n",
"\n",
"* The infection rate $\\beta$ representing the chance of infection when being in contact with an infected individual.\n",
"* The curing rate $\\alpha$ representing the chance of being cured of the disease.\n",
"* The effective spreading rate $\\tau=\\frac{\\beta}{\\alpha}$ representing the capacity of the disease to spread. More the disease infect easily ($\\beta$ high) and less it is cured easily ($\\alpha$ low) more $\\tau$ can be high.\n",
"\n",
"We are now willing to understand what are the influences of these parameters as well as the contact network shape on an epidemic."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"\n",
"Question 4 (written): The function `SIS` you implemented launches one run of an SIS model on a given contact network. As it makes use of randomness, one run of spreading is stochastic. Then what simple method can you propose to provide a prediction of the disease spreading on a given contact network ?\n",
"\n",
"> Pour obtenir une prédiction d'un modèle SIS, on peut simplement executer la simulation un grand nombre de fois et ensuite tracer la moyenne de ces simulations."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
" \n",
"Question 5 (code): Implement the function `Simulation_SIS` (respect the header and the specifications).\n",
" \n",
"###### The corrector should be able to write `predictions, taus = Simulation_SIS(net, nbinf, betas, alphas, t, nbsimu)` with your code."
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Simulation_SIS"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\"\"\"\n",
"Take a contact network, different diseases (defined by different parameters alpha and beta), a number of initial infected people and process nbsimu simulations of SIS over t time steps. You will provide the prediction of the percentage of infected at each time t as well as the spreading rate of each disease.\n",
"\n",
"* PARAMS\n",
" - net (LightGraph): graph representing the contact network\n",
" - nbinf (Int32): number of infected at the start of each simulation\n",
" - betas (Array{Float64,1}): array of infection rate on edges\n",
" - alphas (Array{Float64,1}): array of curing rate on vertices\n",
" - time (Int32): number of time step\n",
" - nbsimu (Int32): number of simulations\n",
"\n",
"* RETURNS\n",
" - (Array{Float64,2}): the prediction of the percentage of infected at each time step and for each disease. The first dimension contains the time steps and the second contains the diseases\n",
" - (Array{Float64,1}): effective spreading rate for each disease\n",
"\"\"\"\n",
"function Simulation_SIS(net, nbinf, betas, alphas, t, nbsimu)\n",
" taus = zeros(length(alphas))\n",
" prediction = zeros(t+1, length(taus))\n",
"\n",
" for (i, (beta, alpha)) in enumerate(zip(betas, alphas))\n",
" taus[i] = round(beta / alpha, digits = 2)\n",
" for _ in 1:nbsimu\n",
" state = new_state(net, nbinf)\n",
" _, X = SIS(net, state, beta, alpha, t)\n",
" prediction[:, i] += X[:, 2] ./ nbsimu ./ length(state)\n",
" end\n",
" end\n",
"\n",
" return prediction, taus\n",
"end"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"\n",
"Question 6 (written): Run the 2 scripts below and describe what you see. Conclude on the influence of $\\tau$, $\\beta$, and $\\alpha$ on an epidemic we can model with SIS.\n",
" \n",
"> Il semblerait que plus $\\tau$ est élevé, plus le pourcentage d'infectés augmente rapidement en fonction du temps."
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {},
"outputs": [
{
"data": {
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",
"image/svg+xml": "\n\n",
"text/html": [
"\n",
"\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Script launching predictions on different diseases on karat7 and printing the precentage of infected at each time step.\n",
"betas = [0.05, 0.1, 0.01, 0.4, 0.04, 0.05, 0.005]\n",
"alphas = [0.05, 0.1, 0.01, 0.1, 0.01, 0.1, 0.01]\n",
"\n",
"predictions, taus = Simulation_SIS(karat7, 2, betas, alphas, 100, 1000)\n",
"plot = Plots.plot(predictions, label = taus', xlabel = \"Time\", ylabel = \"% of infected\")\n",
"png(\"img/q6_1.png\")\n",
"display(plot)"
]
},
{
"cell_type": "code",
"execution_count": 60,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"image/svg+xml": "\n\n",
"text/html": [
"\n",
"\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Same as before but applied on n7_2A.\n",
"betas = [0.05, 0.1, 0.01, 0.4, 0.04, 0.05, 0.005]\n",
"alphas = [0.05, 0.1, 0.01, 0.1, 0.01, 0.1, 0.01]\n",
"\n",
"predictions, taus = Simulation_SIS(n7_2A, 100, betas, alphas, 100, 100)\n",
"plot = Plots.plot(predictions, label = taus', xlabel = \"Time\", ylabel = \"% of infected\")\n",
"png(\"img/q6_2.png\")\n",
"display(plot)"
]
},
{
"cell_type": "code",
"execution_count": 61,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"image/svg+xml": "\n\n",
"text/html": [
"\n",
"\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Same as before but applied on toulouse_neigh. May be a bit long to run.\n",
"betas = [0.05, 0.1, 0.15, 0.25, 0.35, 0.45, 0.55, 0.65, 0.75, 0.85, 0.95]\n",
"alphas = [0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2]\n",
"\n",
"predictions, taus = Simulation_SIS(toulouse_neigh, 100, betas, alphas, 100, 100)\n",
"plot = Plots.plot(predictions, label = taus', xlabel = \"Time\", ylabel = \"% of infected\")\n",
"png(\"img/q6_3.png\")\n",
"display(plot)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"\n",
"Question 7 (written): Change the initial number of infected in the scripts above, is it in accordance with your answer in Question 2 ?\n",
"\n",
"> On remarque que plus l'on augmente le nombre initial d'infecté, plus le pourcentage d'infectés dans la population converge rapidement."
]
},
{
"cell_type": "code",
"execution_count": 62,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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",
"image/svg+xml": "\n\n",
"text/html": [
"\n",
"\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Change the initial number of infected\n",
"betas = [0.5]\n",
"alphas = [0.2]\n",
"\n",
"plot = Plots.plot()\n",
"for i in [5 10 50 100]\n",
" predictions, _ = Simulation_SIS(toulouse_neigh, i, betas, alphas, 50, 100)\n",
" Plots.plot!(predictions, label = i, xlabel = \"Time\", ylabel = \"% of infected\")\n",
"end\n",
"\n",
"png(\"img/q7.png\")\n",
"display(plot)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"\n",
"Question 9 (written): Describe the figure and draw conclusions on the epidemic behavior for different degrees $d$ on regular graphs. Thus, in addition of the inner properties of the disease ($\\alpha$, $\\beta$, $\\tau$) what other parameter is essential in the spreading ? Finally, what analogy can be done with real life from this experiment ?\n",
" \n",
"> Le degré $d$ du graphe représente le nombre de connections par individus. Ainsi plus $d$ est elevé plus individus se connaissent entre eux et plus l'infection est rapide. On l'observe sur le graphique, le taux d'infectés est directement proportionnel à $d$."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"\n",
"## Part 2 - SIR and SAIR model\n",
" \n",
"Unfortunately SIS model is valuable for diseases we can catch back since a cured person can get ill again. This is true for the flu, the cold, etc. However COVID-19 might create immunity for whom already got it and SIS can not take into account immune or dead persons. That is why we propose in this part to consider another model more adapted to COVID-19 called SIR. It stands for Susceptible $\\rightarrow$ Infected $\\rightarrow$ Recovered where the susceptible group contains those who remain susceptible to the infection, the infected group consists of those who not only have the disease but are also in the contagious period of the disease, and the recovered group contains those who were ill, got cured, are not contagious and can not get ill anymore.\n",
"\n",
"###### M. Youssef and C. Scoglio, _\"An individual-based approach to SIR epidemics in contact networks\"_, Journal of Theoretical Biology 283 (2011)\n",
" \n",
"One limitation of SIR is that it does not model the reaction of humans when they feel the presence of the epidemic. Indeed, if feeling threaten or surrounded by infected, an individual may change its behaviors: wear mask, wash its hands, etc. This result in a smaller infection rate. That is why in this part we will also consider a variant of SIR called SAIR which stands for Susceptible $\\rightarrow$ Alert $\\rightarrow$ Infected $\\rightarrow$ Recovered. A susceptible individual becomes infected by the infection rate $\\beta_0$, an infected individual recovers and gets immune by the curing rate $\\alpha$, an individual can observe the states of its neighbors, then a susceptible individual might go to the alert state if surrounded by infected individuals with an alert rate $\\kappa$ on each contact with an infected, an alert inividual becomes infected by the infection rate $\\beta_1$ where $0<\\beta_1<\\beta_0$. In our simple SAIR model, an individual can not go back to a susceptible state when he got into the alert state.\n",
"\n",
"###### F. Darabi Sahneh and C. Scoglio, _\"Epidemic Spread in Human Networks\"_, 50th IEEE Conf. Decision and Contol, Orlando, Florida (2011)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"\n",
"### 2.1 SIR\n",
" \n",
"The vector containing the disease status `state` has to change a bit since we added a new state. Hence it will be an `Array{Int32,1}` where Susceptible=0, Infected=1, and Recovered=2."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
" \n",
"Question 11 (code): Implement the function `Simulation_SIR` (respect the header and the specifications).\n",
" \n",
"###### The corrector should be able to write `predictions, taus = Simulation_SIR(net,nbinf,betas,alphas,t,nbsimu)` with your code."
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Simulation_SIR"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\"\"\"Take a contact network, different diseases (defined by different parameters alpha and beta), a number of initial infected people and process nbsimu simulations of SIR over t time steps. You will provide the prediction of the percentage of infected at each time t as well as the spreading rate of each disease.\n",
"\n",
"* PARAMS\n",
" - net (LightGraph): graph representing the contact network\n",
" - nbinf (Int32): number of infected at the start of each simulation\n",
" - betas (Array{Float64,1}): array of infection rate on edges\n",
" - alphas (Array{Float64,1}): array of curing rate on vertices\n",
" - t (Int32): number of time step\n",
" - nbsimu (Int32): number of simulations\n",
"\n",
"* RETURNS\n",
" - (Array{Float64,3}): the prediction of the percentage of infected, the percentage of susceptible and the percentage of recovered at each time step and for each disease. The first dimension contains the time steps,the second contains the diseases, and the third the status(Infected: [:,:,1], Recovered: [:,:,2], Susceptible: [:,:,3])\n",
" - (Array{Float64,1}): effective spreading rate for each disease\n",
"\"\"\"\n",
"function Simulation_SIR(net, nbinf, betas, alphas, t, nbsimu)\n",
" taus = zeros(length(alphas))\n",
" prediction = zeros(t+1, length(taus), 3)\n",
"\n",
" for (i, (beta, alpha)) in enumerate(zip(betas, alphas))\n",
" taus[i] = round(beta / alpha, digits = 2)\n",
" for _ in 1:nbsimu\n",
" state = new_state(net, nbinf)\n",
" _, X = SIR(net, state, beta, alpha, t)\n",
" prediction[:, i, :] += X ./ nbsimu ./ length(state)\n",
" end\n",
" end\n",
"\n",
" return prediction, taus\n",
"end"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"\n",
"Question 12 (written): Run the script below and describe what you see. Why the infected curve does not behave the same as for SIS ? \n",
" \n",
"> TODO"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"image/svg+xml": "\n\n",
"text/html": [
"\n",
"\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Script launching prediction on one disease on n7_2A and plotting the percentage\n",
"# of infected, susceptible and recovered at each time step.\n",
"predictions, taus = Simulation_SIR(n7_2A, 2, [0.3], [0.2], 50, 1000)\n",
"\n",
"plot = Plots.plot(\n",
" [predictions[:, :, 1] predictions[:, :, 2] predictions[:, :, 3]],\n",
" label = [\"Infected\" \"Recovered\" \"Susceptible\"],\n",
" xlabel = \"t\",\n",
" ylabel = \"%\",\n",
" palette=node_colors\n",
")\n",
"png(\"img/q12.png\")\n",
"display(plot)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"\n",
"Question 13 (written): As for Question 6 script 2 plot the evolution of the percentage of infected for many $\\tau$. Describe what you see.\n",
"\n",
"> TODO"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"image/svg+xml": "\n\n",
"text/html": [
"\n",
"\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Equivalent experiment as for Question 6 script 2\n",
"# Script launching predictions on different diseases on karat7 and printing the precentage of infected at each time step.\n",
"betas = [0.05, 0.1, 0.01, 0.4, 0.04, 0.05, 0.005]\n",
"alphas = [0.05, 0.1, 0.01, 0.1, 0.01, 0.1, 0.01]\n",
"\n",
"predictions, taus = Simulation_SIR(karat7, 2, betas, alphas, 100, 1000)\n",
"plot = Plots.plot(predictions[:, :, 2], label = taus', xlabel = \"Time\", ylabel = \"% of infected\")\n",
"png(\"img/q13_1.png\")\n",
"display(plot)"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"image/svg+xml": "\n\n",
"text/html": [
"\n",
"\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"betas = [0.05, 0.1, 0.01, 0.4, 0.04, 0.05, 0.005]\n",
"alphas = [0.05, 0.1, 0.01, 0.1, 0.01, 0.1, 0.01]\n",
"\n",
"predictions, taus = Simulation_SIR(n7_2A, 10, betas, alphas, 100, 1000)\n",
"plot = Plots.plot(predictions[:, :, 2], label = taus', xlabel = \"Time\", ylabel = \"% of infected\")\n",
"png(\"img/q13_2.png\")\n",
"display(plot)"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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/++23L774wnPh0aNHV6xYkZWVxTDMRx991KdPn6ysrKD9GKGWCMtsnkWEzY4IJbZzZRIcESKE0PU9/vjjERERP/30k1ar/e233/jd5/lao0Lh5Y1dGxoaPvzww9jYWM9V7dq169q1a35+vkAgeOaZZyZMmECSwbw9GWKJ0O7iy8pYrq647aFWJghsRXopjggRQqhFHnzwwQcfvOo5ZWRk5Ny5cz2nvXr16tWrV+MO4eHhs2fPDlB8LRBazwjrXIxGJIDmR4QCgUQj4Mw042DYgEeHEEIoCEIrEVppRi4gXW4rByASKTgAF8t49VEr4yOFXLkD744ihFBICK1bozaGlVGkZ9+Jr8vOLDz52/aBY2KlCk8ftSpB63Dqbe5kuTh4kSKEUNtw4cIFg8HQq1ev5iaFHjx40OFw9OzZky+3DQC1tbUlJSWePmlpaZ7VFEERWonQTnPSy4kwGgDOWxrcLDto14btd4xJlCn5PmplosZpxjX1CCF0bYWFhQMGDHC5XBaLxeFwiMXeg4e9e/fee++9ffr0UalUjz766NKlS2fMmAEA33///b/+9a+UlBS+2+rVq9PT0wMdfSMhlggZNkJ8ZRFhmd0yM7WXgCDv2LVu+8AxKYowAFCpElTVtbiUECGEri0+Pv7gwYMEQXhSmpeUlJRz587pdDoA+Omnn8aMGTNlyhR+NumgQYOuUZg0wELrGSF/a9T6x970erslTqqYnpIxNy1r4K71haY6AFArExTuctyeFyGErk2lUjWXAnnR0dF8FgSA9u3bu1wuzx6EFotl9+7dRUVFHMf5PdDrCa0RoecZYXhYMvyRCAFgSnI3AUkO2bPxl4Gj41QJEvuFMhuOCBFCbUDDGYujLhB/uFMSStdTfdOXL1u27OGHH5bJZPzphQsXFi9efOrUqfbt22/atEmr1V77cr8KsURIszIBabFWJsTdDo0SIQBMbtfFSrufK9iz+fYHpI6SMrszqJEihFCLOGpdFr3vUtetSyin4GYT4RtvvHHgwIG8vDz+dMKECY899hgAOJ3OBx54YMGCBe+9916rBXrjQiwRMqyMIo3WKoU8iubYOqc9WnJlqtL9Mcn/KTpEkoJYCVVmDcT/sRBC6E+Kvj0i2CFcx4oVK1auXLl7927PsM8zrUYsFj/yyCPBzYIQms8I+cky5XZrpERGNZrvmyRXNbicRrczUamscrLMLXDnGiGE2hy3203TNH/8ySefvPnmm9u3b/dsW+jlxIkTjauvBUWIjQhpVkqB3WGQSXXH62viGi0fBAACoJMy/LTZEKGMU7uZaicdIxEGK1SEELrFud3ul156qaGhAQDmz58vl8tffvllAHjwwQe7d+/+2muv5ebmTpkyZcyYMR988AF/yb/+9S+dTjd9+nStVhsXF3f06NEvvvhi+/btQfwpIOQSIcMSbqNEHEaSgjK7OV6q9OrQRa05aazrokrQNFj1NjcmQoQQuobw8PDw8PBly5ZBoxueU6dO5e+C6nS6pUuXNu7P7+I7fvz4X3/99cSJE8nJySdPnkxKSgp44FcJsURIs+Cua7x2wqtDF5X2pKmunyoxHBrK7K5MkAUjTIQQagOEQuGcOXOato8YMYI/SEtLS0tLa9ph4MCBAwcO9G9wNyLknhGyjpprJkLNSVOdSpmI2/MihFCICL1EaL9caLTMZo5vkgjTVZpCU51alSBz6nFNPUIIhYKQuzXqtlfK5VHQzIiQnzjqFihVdGWpxR6MGBFCqM1gGOb06dMVFRV33XVX0811GxoaDh8+3LglIyMjMjKyvLy8sLDQ09i3b1+VShWIcJsRQonQxXIEAQ5bhTY2GwDK7JZ4mfdkGQIgTRVxymSIlVC/WSzBCBMhhNqG48eP33bbbVKptLa21mfRbb1e//rrr/PHdrt97969+/fvj4yM/Pnnn1944YXu3bvzL61YsQITYYA0XkTIAVQ6rLESHxt/8I8JExWy9fiMECGEmpecnHzu3DmbzdZcxdEuXbps27aNP/7ss89qa2v79u3Ln/br1w+LbgeBjb5ScbvWaZcLhBLKx98BfCJsrwqvxEeECCHUPLlcHh0d3cLOOTk5jz/+uGfPQqPR+PPPP+fn5zOM9+7ogRdiI0LB5RFhoa+ZMrx0lWZ7denf1TFkFdvgZsKEVIDjRAihlqsu2W01XQrABwlEioROo27u2jNnzuzfv3/dunWeFoPB8N577504cSIsLGzLli1RUVGtFObNCKVESLNSEhiWFouU+rqauCar6Xn8mnp1fGIEmPQ2V5haGuA4EUKo5SzGkobq4wH4ILFUA51u8tpPP/30vvvui4mJ4U8nTpzIF912u92jRo166aWXPvzww9aK8yaEUCK0M6yYZC5vyWuzNDciTJSpTLSTkEWr2VNldncXTIQIoVtYcsY/gh3CddA0vXr16pUrV3pa+PoyACAUCh9++OF33303SKFdFkrPCBlWzLkUl9dOmJuuneARAGnKiHJQ4Pa8CCF0E8xms91+ZfnZli1bWJYdNmyYz875+fkJCQmBCs23EBoR2hhWyDn/SISW/tq45np2UWlO22wRYL5gMgIEc7tIhBC6Zblcrn/+858mkwkAnnrqKaVSuXz5cgB45JFH+KLbfLecnJxJkyYJhVdKN0+ePFmj0cTExOTn52/evHnnzp1Bid8jlBIhzYrALRapoZlFhB7pKk2hyRAt5i6ajAEMECGE2hKSJHv37g0Ad955JwCIRCK+/Z///KdGo/F0GzFixJAhQxpf+OSTT+7cubOmpiY7O/vNN9/0PDsMlhBKhHaGFYFbKJRBM2VlPLqoNduqSrJlkj02LC6DEEK+CQSCqVOnNm0fOnRo49PJkyd7dejbt69nQeGtIISeEVoZVsw5+URYZm92+QT8sQdFklKhdwR/gQtCCCG/CqFEaKNZITiFApmZdjEcpxZ6VwPySJApLbQ7VqGudofQiBkhhEJTCP2itzGskHMIhVK93cfaCadRX5b7HiWUths6n584yorEdpZyMKyECqE/FxBCqOWqq6t37dplMpm6dOly2223Ne3gcDj27Nlz8eLF6OjooUOHeuqR7ty501NTJjo6umvXroELuokQSoR2hhWwDqFAU2azNN6b3mWu1ue9X3vyR23X+2sLt7QbOh8Auqg1lxhaDaZyhztZ3uzYESGEQtb58+d79ep19913x8TEvPzyy8OGDfv444+9+tx2220qlapr166fffbZc889t2/fvoiICAAYOXLkwIEDZTIZAAwYMAATYYDYaFbA2YVCmWemDOO0lO1ZUf37N5HdH+ox42ehLMJQtMNhuCiJaJeu0pyx1KmYar0NEyFCCPkQHR198eLF8PBwAHjuueeSk5Pnz5/frl27xn02b94cHx8PACzLZmZmrlmzZubMmfxL7777blJSUsCj9iGUEiHDChibUCAts5j5tRN1hVvM+t+7T/9RpNDxfVSJmabSw5KIdl1Umq2VF8PBVGwyDNA1O60GIYRCllwul8sv7+ETFhZGkmTTCtp8FgQAkiTDwsJYlvW8tHv37oiIiJ49e8bFNbuqOzBCKxGGs1ahUK63N3RVawHAaSwPS77dkwUBQJXY23zpSGSPMfweFD0ErgvGBoDE4EWNEELX8q2+/Iw5EJunhomE05LbN/fqokWL7rrrrub2YwKA7du3//7772vXruVPY2Njv/vuO7vdnpub+9Zbb02bNq31I26xUEqENKtlLEKhTG8vGxrdDgCcpnJV4lVrWZQJmeX7PwWAeJnSSrt1Qq7UYgpKtAgh1BJWmql3B2LzVM8OSk2tXLly06ZNubm5zXU4fvz4o48++umnn8bGxvItp06d4t9wx44d99133+jRo7XaoJXxCqVEyLAkbRUKpJ5FhC5jhVgd27iPLDKVthtd5mqRMrKzKkLlqDplw3KjCKFb19+Tglyo89NPP12yZMnOnTubu8N5+vTpYcOGLV++fMSIEZ5GT1q9++67JRJJUVFREBNhCC0MsDEsxZiFQrlnsozTVCFWe5X2IZTxPc2XjgBAukojJKHCwQUjWIQQagPWr18/f/78rVu3Nr4p6nQ69Xo9f3zu3LkhQ4YsW7Zs3LhxPt/h1KlTJpMpuLNmQmlESLOE2wSUpMHljBTLADiXqVKk8t5eWZWYab50RJM+vItKU1wP1bTQ57shhFCIKyoqGj9+/IABA/73v//xLTNnzkxPT9+zZ8+DDz5osVgAYOTIkQKBIC8vLy8vDwDuuOOO8ePHb968eeXKlZmZmVardc2aNc8++6xnTk1QhFIiZFiSMdfQdJRERhKE21JDiRWkQOLVTZmYeWHLIgBIV2n2MUw9K2E4jmr+5jhCCIUmnU735ZdfNm7h1wh269YtJyeHb1m2bJnD4fB04AeOAwcONJvN58+f56fM+FyJH0ihlAhpRkoyerudX03vNFWKVT5KnitiuzkMFxmnOVmuPkdTcs5a7aRjJDguRAihq0RERDz88MNN26Ojo8eOHcsfP/DAA007qNXq8ePH+ze4GxFCzwitNCMTCMrs5niZAgCcxnLR1TNleAQpkMd0NZcdbSdXFTk5FVt7yeJo2g0hhNBfQwglQhvDySlSb7fESZUA4DKVi30lQri8rP6IiKR0EkU4YS021gQ2UoQQQoETQrdGnSzIhILznimjRt+3RgFAmZipz30fAJLlYZyt9rzRAJAc0FgRQqgtKCkp2bVrl8FgyMjIuPvuu5t22L59e319vedUp9MNGjQIAL799luapvnGpKSk4G5PGCqJ0MGwAoITU7Iyu7lvRDQAuEzlyvgePjsr43tZK0+ytDNZoa6uqywNSNUGhBBqW86dO9e3b9/77rsvMjJyxYoV2dnZn3/+uVefHTt2nD9/nj/Ozc0dOnQonwgnTpzYuOg2JsJAsDGslAR+D6Y/RoTN3hqlRDKJJtlacTJZrjZSTJndGdhgEUKoDYiLiystLVUoFAAwe/bsxMTEV155JTn5qvtnS5cu5Q/sdntcXFzj3epvnaLbofKM0MawEoIVCmSePZicxgqfk2V4qoTeptJDyXI1SzCVTlxTjxBC3qRSKZ8FAUAmkxEEQZLN5pSNGzeGh4cPHDjQ07J169Z169YVFxf7PdDr8eOIkGXZM2fOqNXqmBjfj+LMZvOlS5cUCkV8fPw1vr5WYaNZCcUKhPJKozVGKmcZF+MwieSa5vorEzNrft+Y3HmEGegqN66dQAjdoly/FTFldQH4IEIukdzXq7lX582bN2zYMK89mBrLycl54oknPJXVUlJS8vLybDbbE0888eqrr3r2ZgoKfyVCvV4/ZMgQgiBqa2tHjBjxwQcfeBVsXbly5dy5cxMSEurq6sLDw7/77rtrlC3/82wMKwGGIYVqoVhMUg5DmUgVBUSz2VeV1Kf4h3ntZcoyt6uWlfkvMIQQ+jMIsZCQexcG8csHyUTNvbR8+fIdO3Zco+j2hQsXcnNzV61a5Wk5evQof7B3794777zzkUceiYyMbMVob4i/EuHChQuzsrJycnLq6+t79Oixbdu2IUOGNO4wduzYJ554QiAQsCz7j3/8Y+HChZ7tOfzBRrNiknaA4PIiQlOFSNXsfVEAEMoiBPIIhVHfQEoIljW6GbWQ8l94CCF0c4S9k4N7z+q999575513du3aFRUV1VyfnJycoUOHJiT4qA/er18/mUx29uzZICZCv9yQ5Dhu3bp106dPB4Dw8PCxY8d+9dVXXn0iIiIEAgEAkCTZsWPHxjV4/MHGsCKgbZwg7vK+E+VNym17UyVkmi4djlJGq9m6EjNuxoQQQt5ycnJef/317du3JyZe2bfVZrOdPXvWc8qy7OrVqx9//HFPC8ddmXhRUFBgNpvbt292p8MA8MuIsK6uzmKxeG51pqSk5OfnN+2m1+tXrVp14cKFEydOeArTNcVxnF6vP3LkCH8aFhZ2EzdRbQwr5txWIKPEcgBwmipFzSwi9FAlZjYU5yVHDXLWWc4aqjIiwm/0QxFC6C/s1CUfLeYAACAASURBVKlTU6ZMyczMfOGFF/iWefPmde/efe/evZ6i2wCwdetWh8Nx//33ey7cvHnz//73vx49etjt9nXr1s2dO9ezT2FQ+CUR8j+/RHL5trVMJjObzT57UhQlkUiqqqpKSko6d+7ssw/Lshs3bvTcfe7fv/+SJUs8r7pcLo7jXK7r7BpYZ7ZSrN1KExIOzGazta5EEpneXFSXKdtZKj6Kjx9+iaguqqk0R/neaitkWa1WlmWvsVcn8hPP7xcUYEH/5i0WS+OxVNBFRUV53e3j74726NGjcTHuuLi4b7/9Vii8cgf3rrvuAoDz589LpdJp06b16OF7SbcXjuOu80vbF5lMRlHXebDll0TIfxf19fVyuRwA6urqoqO9dzsCgLi4uDlz5gBAVlbWzJkzi4qKfL4bRVHPPPMM37MpPhGKxeJrh8SJnGLSTQslGplCqVSytlp1VHulUnmNS+SyrsVGfccwze/U2QqX69qdQxBBEHK5HBNhUOD/G4MluN+8QqG4pf6La67otk6na1xrOyMjw6uDQqFovElvCxEE4afv3y/PCKVSaefOnX/77Tf+dN++fb16NTvpFgDCw8MD8YyQddqAUglFwK+mv+ZkGQAgKZFIHZ3IOQlwldlxn3qEEPpr8tes0ZkzZ86dO1ej0Zw9e/aXX37573//CwB6vb5///4HDx7U6XSvv/56fHx8fHx8aWnpokWLJk6c6KdIeDaaFXB2KytIEogAwGWqaLolb1MybYdoW62NczmcrF/DQwghFCz+SoRTp04FgDfffFOlUm3dupXffVgikQwZMoS/jdmpU6eNGzdWVlbqdLrFixePGzfOT5HwbAwrZO1WjlQKRbTdSJBCSqy47lVSXQeRqdTAuFlcU48QQk3k5uYeOXLEZDKlpqaOHj1aJPJea1hTU/Pzzz+XlJTExsaOHTvWU4nm66+/9jzvTE5O7t27d0Djvpq/EiFBENOmTZs2bVrjRo1G88EHH/DHo0aNGjVqlJ8+vSk7w1Gs3cJJlAKhswVrJ3hSbUrDud0SSXypC9fUI4SQt1deeaVbt25qtfqdd97573//u3fvXq9cOGDAgG7dunXp0mXDhg2LFy8+dOiQTqcDgEceeeSRRx6RSqUA0L9//79mIrzV2GhWwFjrOKlKKHYZLvisMur4MZ8uKlc8e2WOr0zboWLfJ9EdMs/Uip0sK/ZzHTiEEGpbfvnlF/5gzpw5Wq326NGjWVlZjTvs378/LCwMADiO69Wr14YNG2bMmMG/9OabbwZxEX1jofKb3cawFGsxsqRSIHIaK5ruREgXVzm3HqOLK9naK9Nzpdpku6EkSaVRcsbz9dWBDRkhhNqM4uJijuP4p2CN8VkQAAiCoCiq8Xhx48aNq1evbm69QCCFzIiQYWWMtYHhlAKhs8lMGc7htn2wTTphAH220pV3SjLq8s5YpFAqUmgTSFBx5nP1Vema68+vQQihQKo5vsleffb6/f40gVQde/uUpu3PPPPMjh07Ll26tGbNmri4Ztdbf/XVV5WVlZ7lFj169CgoKDCZTE899dTixYtnz57tr7hbIFQSoZ1hFW6TgQGVUNxgLJdHpTV+1bZqlyA9XpSVSsVFWJb/KBnZB/5YrCPVdoh1m2WEtbjBEIzAEULoWiihjJKqAvFBEt9r+ObOnTtt2rQtW7ZMnz49MzPTZ0HR3bt3P/PMM999951areZbDh06xB/k5ubefffdkyZNCg8PWvWuUEmENpoRgqOeZpUCYZWxovGWvK69p5mSGuXLYwGAitcQCom7sEzY5fK/pVTXIcZWIwCyNNhFJRBCqKmItMHBDSA6Ojo6OrpLly4//vjjd999989//tOrw2+//cZXnL799tubXj5gwACKooqLi4M4XyZUnhFaaFpKcixwEkrgNFV4Co2y1Ubbl3vl04cQost/E4gHdnbtOeW5UKZNiTKVuDmHHtfUI4RQIzRNe47tdvvFixf5ImImk+nEiRN8e35+/kMPPZSTk8OXVeMxDOM5zsvLo2naa1/7AAuVRGijGSlJKgUijmVoa51IGQUAwLDWlduko/pSiVpPT9HtndzHSzirkz+V6jpIas4wBK134Jp6hBC64ujRo926dZsyZcqMGTO6d++emprKL4rbtWvXnXfeyfcZMWIESZL/+9//Bg8ePHjwYH4F3fr162+//fannnrq0Ucfvffee5ctWxbE+6LQ+NboF1988fTTT1/3AoOhTT4qs9GMmCKVApHLXCmQawiSAgDXwXMgEojv7ta4JyEVCTOSXPuKxPdkAIBU28Fee16lu6fShWvqEULoit69e+fk5Jw4cYKm6fHjx/fv359vv+2229avX88fr127tvHAMSkpCQBGjhyp1WrPnj2rVCoXLFiQmpoa+OAbu5IIO3bsyJeDAQCapj/55BOBQDB8+PCYmJjq6uodO3bU1tZOmeJjylCbYGVYMQUqochprPCspmcq6wWdYqFJDVvxwHTbur18IqREMqEsPEoqL7bjmnqEELqCJMk+ffr06dPHq12n03lGhIMGDWp6oUwm4weI/o6wha4kwszMzMzMTP74qaeeysrK+uabb2Syy7/93W73E088cfHixcCH2CrsNCciKaVA5DJdmSnDVpuEXX1McBJ0judsLqakhkrSAYBU2yFJSG4lVG7GLaRwXIgQQn8pPmaN2u32Tz75JDc315MFAUAoFC5ZsiQ+Pv7SpUs+Z8fe4uwsCClSKRQ13neCrTaSuq4+ehMg7pfmzD0l4xOhLiWONkvAfrG+PFWbFMiwEUII+ZuPRNjQ0OB0OpvuesW3VFVVtblEyHLg4jiSpFQCkauhUqrrwLcz1UYy0vf6G9HAzqYF66R/60cIKZm2Q3TpCSXEnzNUYiJECCGPrVu35ufnm83mlJSUcePG8XvQNrZhw4b6+nrPaXx8/L333gsAH3/8MctenoGYlpY2cODAgMXclI9Zo5GRkdHR0QsXLmy8RyBN0y+99JJUKu3UqVMAw2sddoYVExxLiv4YEcYAAOdwg8NNqr3/2XhkhEKQpHMfKQYAqS5FV39BxFkumOp9dkYIodC0cuVKu90eHh6+du3a2267renOsoWFhUf+sHDhQk9t0ieffDIvL49vLykpCXjgV/ExIqQo6p133hk3blxSUtLw4cOjo6Nra2u3b99eUlLy7rvvtsWtsW0MKyFYNylUCkROUzm/iJCtMZE6VdOZMh6iAZ1d+8+IslNlutTw6kIiYeBFMz4gRAihK7799lv+YNasWRqN5tixY9nZ2Y07LFy4kD9oaGhYs2bN5MmTPS/dOkW3fVeWGTNmTF5e3n/+8589e/bo9fqoqKhu3bp99NFHt84knxtiY1gxwTpBqBQIXX+UlWGrjWSk+hpXCTrH2VbvBg4osVIqkohJ9wWL9x87CCGEAODkyZMA0K5du+Y6rF27tkuXLt27d/e0rFq1Si6X33bbbT179gxAhNfQbIm17Ozsb775JpCh+I+NZsUE7SQEchI4lhZI1QDAVBupayZCUi0jJEK22khGqaXaDkoBUe7CNfUIoVvLyvMFRxsCsTeOVix9rWu/pu2PPfbY9u3bDQbD2rVr+coyPuXk5HhW6AHA7bffXlFRYbVa586d+/zzz8+dO9cvQbfMtWqNsixbWlpqMpkyMjICFpA/2BlWTNAOEIa57aIrayeMVFzEtS8UpETRxVWiKLVM10FjZy44vTdfRgih4EpRqMnmH/G0IpVQ7LP9//7v/+rq6n788ccnnniie/fu7du3b9onPz//9OnT48aN87Ts3r2bP3jsscf69es3bdo0jUbjj7BbwnciZFl28eLFy5cvN5lMcXFxZWVlAPDMM8+4XK6VK1cGNsJWYKVZEee2ASl1mT07EbI1JmFPH/9gjVHJUXRxlei2jlJtSlxJ2RGuHQAH13iuiBBCgTU4KshT2RUKhUKhmDFjxtdff7158+ZnnnmmaZ+cnJzRo0d79iZsLCsrSygUlpSUBDER+q41+vLLLy9dunTq1KlLlizxNN5zzz2ff/65y9X2ak/bGFZEuGxASZxmkfLys1mm2kjqrrN3iSA5ijlfBQBSXWqK7VIDqbHY6vweLkIItQUul4vjOP7YYrGcO3eO35jXYDAcOHDA083hcHzxxRePPfZY4ws9x7/++ivLsikpKYGK2gcfiZCm6bfffnvp0qVvvPFG410zevbsabFYLl26FMDwWoeNYUWc08IJpLRNIA0DAGA5zmChrpcIqfaRTFkd0IxM1yHGUCTlbGfqSgMRMUII3fJ+//33Dh06/P3vf584cWJ6enqvXr1GjBgBAHl5effff7+n27fffhsWFnbHHXd4WjZu3Ni9e/eJEyeOHj165MiRy5cv9+xTGBQ+bo1WV1ebTKZhw4Z5tfOjWoPBENzUfRNsNCvkHGaWkLrt/N6SrMFMqGQgoK59ISESkFFq+lKdoH1kAuuSccbTda5ebaycAEII+UWfPn2+//7733//nWXZWbNmeSZ/9u/f/4cffvB069mz5+bNm0nyyrjroYceSkhIKC4ulsvly5cvT0xMDHToV/ORCJVKJUmSlZWV6enpjdv52bHXmBR0y7IzrJBzGFlS6rIIwnQAwFabrntflMffHRW0j4zVJIg4S2G93c/BIoRQm9GlS5cuXbp4NUZERGRlZXlO09LSvDqIxeL+/ft7dqsIOh+3RpVKZb9+/RYvXmy1Wj2F1kwm05w5czIyMtpcfTUAsDGsgLUbGULiNvMjQqbaSEW1aCROJUfRxZUAINWmyAn7GbPNv7EihBAKLN+zRt9+++077rgjLS2tS5cuJpPp8ccf37Jli8Fg2LZtW4DjaxU2hhUwtgbgpG6TQKKCy+W2WzYiTIlybjkKAFJdhzCTQe/AzZgQQugvxXci7Nmz5+HDh19++eWtW7eazeZ169YNGjRo0aJFvXv3DnB8rcJOsxRrM5MCgcN4ORHWmISZLXrSScVFsA1WzuqUalN0Zy6cJq+z9BAhhELQl19+aTabGy+Z59XX1//444/Hjh2TSqX33XefpwDbpk2bTp8+zR9LJJKZM2cGNNyrNbugvmPHjl988QUAMAxDUdeZVHKLszEsxVqFgljWYaLEl2+Niq9ZVuYKgqCSdPSFKmm7lHj7mt/kvTiOIYi2/YUghFArys3NnTFjhk6na5oIlyxZcubMmQEDBpjN5iFDhqxcuXL8+PEA8OWXX9bX1/Pzaxpv+RcUvhPhlClT/v3vf/MbTXiy4JkzZ+bPn79+/frARddKbAwroC0SoYx2eG6NmqhmNmBqSpASxRRXSbr2SbdfMioiGswV4ap4f8aLEEJthtPpnDVr1ksvveSz3Mqrr74qFl8uSSOXyz/88EM+EQLAqFGjnnzyycAF2jzfC+o3b95cV+e9cryurm7Dhg3+D6n1WVxuEeFWiCS0w0RJVJzVARxHyCUtvFyQHEWfrwKATnKlBKxn68r8GSxCCLUl8+bNGzduXHPL6jxZEABsNptKdWUEsmfPntdee23Dhg1ut9vvUV7TtWqNetHr9UEsgfNnWGm3igSlQMgxbkokpfU1ZMumjPKoDtH0Z7sAIEkTL7WZTtRa+l6nNBtCCAVIQeHa6tqTAfggqSSiX9/nvBoPHDiwc+fO/fv3//TTT9e+/Ny5c2+//fbmzZv50w4dOlitVqfTuWTJktdffz0vL08iaengpNVdlQh//PHHVatWAYDRaHzppZcapz2n05mXl9e40EwbYqVpHcEpSIKSKAEItuo6+054IcPkhIBka01yTbLcajneEOQ/XhBCyEOtSiKaubfXukQihVeL0+mcNm3aJ598IhReZ6/WqqqqBx54YP78+Z61g6+++ip/MH/+/IyMjLVr1z7xxBOtHnMLXZUIjUZjcXExADAMo9frjUaj5yWpVPq3v/0tuDtl3DSrmxZSICeIP6aM+t6J8KeKyq8u6Vf17d20qDaVHEWfr5JqkhWl5y9YOf+HjBBCLZIUPyBYH11QUHD27Nlp06YBQENDQ1lZWWZm5i+//BIRcdXs+qqqqkGDBk2aNOlf//pX0zcRiUS9e/e+cOFCgIL25apEOH78eP4xZlZW1vvvv9+rV68gRdXKbAwjIEBJcAKxEgDYGhOVHOXVx8WyM48VMBy34tz5f3bwvtktSIlmiqukg5Mj6COVTlxBgRBCkJGRcfz4cf54+/btS5cuXb9+PV81dPv27ZmZmWFhYTU1Nffcc8/48ePnzJnjuZDjOIfDIZVKAcBgMOzevfuBBx4Iyo/A8z2gPnDgwF8mCwKAjeEEJMiBpSQqAGB83Rr9v7Pn01Wq7Xf0f6Ww6FiD0etVQXIkfb5KEpEU46quY3FNPUIIgVgsTv5DVFSUUChMTk7mFxoMHz68oKAAABYsWFBUVLRp06bMzMzMzEw+4bnd7tjY2Pvvv3/s2LGdO3fu16/f2LFjg/iD+J4s8+abb1IUNXv27MaNq1atOnfu3CuvvBKQwFqTjWEpgpCx9JWyMlevnTC4XG+eObtn0MBkuXxFz+5j9x3MH3ynQnDly6HaRzKltQRHdiKc20FDM04B5XuPSoQQCkF33HHHN9984zk9ePBgamoqALzwwguNH/6JRCL+f48dO1ZQUMAwzMKFC5tWKw0wH4mQ47glS5a8++67Xu0pKSlTpkx57rnnGs9/bRPsDBAEIeNoSqIEmuHMdjJC2bjDSydOPZKQ0FGpAICxCXE/VlQ++/vxD3v39HQgJCJSp2LK6vooxA1ceIOpTBvexrbgQAgh/wkLC2u8765nJ4qkpKSkJB9bBzfXHhQ+bo3W1tbW19dnZGR4tXfr1s3tdl+8eDEQcbUqO0NwBCdnnAKJiqkxERFKIK9MiDllMn9dpp+f3snT8l6vHntqar8svWq9IL+asLMmVsrZTuFSQoQQ+qvwkQj5HSfq6+u92g0GAwCwLBuAsFqXgyNYAqSMkxIrm9aUefb34/M6d9KIRJ4WuYD6PKvPrGMFF61X9pqgUqLo4iqlpr2cazhcXR646BFCCPmTj1ujWq02MTHx448/9tos6uOPP5bJZHzdtTaE5jiGI9wcIXXbBBIdW3PVvhNbK6suWK1PpnivkO8dHvbvTqmzjhV81+9yiVhBu0jntgLpsDQ5V3C6ATdjQgihK9asWWO325vWGs3Ly9u7d2/jltmzZ4tEojZQdPvFF1988sknjUbj5MmTExMTKyoq1q1bt2bNmnnz5vETXtsQG81KCMYGlIy2URIle9bkWUTIcNxzBSfe7N5NSPoYGT+Z0v7VU6fNNK0UCACAio9gq41ydTs1s/uS7QYq8iCE0F/bjh07Zs+eHRER0TQR2u12z/3FAwcO6PX6559/HtpE0e3p06c3NDS8+uqr3333Hd8iFov//e9/L1y4MICxtQ4bw4pJxgqUxGURSFRMtVHcKZZ/6Tt9RbhIdH9MtM8LFQLB7RrNL5XVo+NjAQAEFBmlJuvckayphtYGLH6EELqV2Wy22bNnz58//7333mv66uDBgwcPHswf33XXXZMnT/bs937rFN1udmTzwgsvTJ8+fd++fTU1NREREdnZ2Vptm/ztb2dYMbgtLCVxmAQSFVtd4RkR5jc03BOpu8a1D8RGb66ouJwIAagkHV1SmyzgzrHKa1yFEEKh44UXXnj88cfbtWt37W4XLlzIy8tbu3atp2X79u16vb5Dhw7jxo0LYqFRuHbR7bCwsOHDhwcsFD+x0awY3GaOkDqNlEjpqjWTustp7KTR9I92ide4dmRszMKTp2iOExAEAFCJWqa0tqdats6mc7rMYhGmQ4RQkL1ZVHXQYA3AB0WJhe/0SvBq3Ldv36FDh5YvX/7DDz9c+/JPPvlk6NChsbGXxxXp6elOp1MqlX744YdvvfXWgQMHgniDtNlEeOrUqXfffbewsNDlcuXl5QHARx99FBYW9vDDDwcwvFZgY1gRuIwsKbY3kG4BIRESkssTRAtN5nTVtZJZnFSaJJPtqzMM0GoAQJCksx86P+BunbE0rM5UFqvtHIgfACGEmne7Rp4kE12/358mF3jPpeCLbq9evfq6m7ezLLt69eq3337b07JgwQL+YM6cOd27d1+zZg1fszQofCfCXbt23XvvvVqttl27dp6Fg1ar9fXXX2+LiVDIOc0cIbQbCBN4pow6GEZvt3dQeNdT9/JAbMzm8go+EVKJWuZSbbQ2TVpqza+qw0SIEAq627XX+SXmPwUFBWfOnBk9ejQA2Gy2urq6lJSUgwcPNt2wb+vWrU6n8/7772/6JgKBoHv37qWlpYGIuBm+a40+9dRTgwcPPnPmzOLFiz2NQ4cOPX/+fEVFRaBiax02mhVyTqAkBOMi6l2k7vIDwtNmS4pCLiCabjVxlRGx0d/qL68aJGRiQiEVEzoF23C0ptK/cSOE0K0tIyOjsLBw27Zt27ZtW7RoUVxc3LZt2/j6Mt9//33j3d1zcnL+8Y9/eHZr4jjOZDLxx1VVVbt27erRo0fg4/fwMSKsq6srLCz89NNPJRIJ0ShPJCQkAEBFRUVMTEzgAvzTbAwrYO0igZSSKFmjjQy7fBv6pMnUpQW14nqGhdEcV2S2dFIqAIBK0lJ1AhVrPGs0+TduhBC6tfFFt/ljT9Ft/nT06NE7duwYOHAgANTV1W3evDk/P99zIV90u2/fvjKZ7Lfffhs5cuSYMWMCH7+Hj0RI0zT8URq1sZqaGgAQi9tYsWk+EYJAIpCoOLODUF5eB3ndB4Qe98VEf19e8VynVAAQJGqZSwYNZ6lw0H4MGiGE2pTBgwfv2LHDc3rixInExMtTEWUy2enTpxtPKxWJRBcuXDh+/LjD4VixYsV1Z5z6m49bo5GRkbGxsRs3boQ/yq3xPv30U7Va3bFjx8BF1xpsNCvg7CKBWCBWsmY7obg8Sfek0dRF3aLq4Q/ERH9ffvmGMJWoY0prEoSsgQ7mZF+EELqlyGQy/q4hr1OnTp7qK1KptGmq0+l0d91117333hv0LAg+R4QEQbz44ouzZs2y2WyJiYk0Tefm5q5bt+79999fvHix5yZvW2FjWCFjBVJHSVRcrYNUXf63aeGtUQC4M1I3bv+hKoczSiKmkrRMSW2XNMWRBjEAB3CdR4wIIYRucb5njT799NNms/nVV1+12WwAMHDgQKFQOHv27BdeeCGw4bUCK00LWIeQIAUSFWe6PCJ0MEy53ZGikLfkHUQkOTgqcktl1aR2iaRGyTFMtirifyaZzW6QSb0nRyGEEGpbml1H+OKLL06fPv23337T6/URERH9+vVrW3NkPKwut4ikZcAKpCrWYudHhKfM5g4KxXWnjHo8EBv9nb5iUrtEAKAStL1YpYmQlxrOp8VhIkQIobbtyjPCTz/91LNN8HPPPXf+/Pnw8PD77rtv6tSpY8aMaaNZEAAstEtEsDLWTYn5EaEUbmSmDO++mOgd1TUOhgEAQaJWZpRJOcuB8mJ/BY0QQihQriRCsVjsdrv54zVr1lRVVQUppFZmdbspAmSsWyBScC6akInhRmbK8CJEoh5h6l+rawCAStRxZSYV13C8BrfnRQihNu/KrdEOHToUFxevWrWqa9eubre7qKjI50qJ3r17BzC8VmBx00JgZIyLJMJJBcfPbik0ma9dZbSpEbEx35dX3hsTTSVpHZsPh4e5SywOv0SMEEIogK4kwr59+44bN27SpEn86WOPPebzAo7jAhBWK7LRdBjJymg7xYgJ5eWHgidNphu6NQoAw6Kj3j1XDABUTDhbZ46hqFo3ThlFCAUOP2nfs6tR6OA4zu12k742jm0VV02WWbt27aJFi0pLS0ePHv3yyy+np6f76VMDycow4QBS2kYyIkIpgD+mjF63yqiXziqllaFLbbZEmYyMi0ihbAddQSvxhxAKQZGRkdu2bdPr9cEOJKBommZZViQShYeH++kjvGeNpqSkpKSkjB49eujQoZ06dfLTpwaSnWEBWInbQtJCUimGG58yyiMABmi1ubV1ExJlgkRtX6j/hRS43VahsEVrMBBC6M/r3Llz586hVe7f7XYzDOPXDQt9jzQ/+uijv0YWBAArzXEkK3VZSKeAr6920mjuor6ZrQTv0Gl319QCAJWou90orqbiSmvPtnK4CCGEAqvZdYTnz5//4YcfKisrvR4KLlu2zP9RtSY7w7EsJ3GYPImw0GRKb1lNGS936LTvnDsPAFSSNnbvaXfn8P2lh1Niglk0HSGE0J/kOxG+//77M2fOdLvdkZGRiqufpbW5ROhgwU0wYkcDaSfJWAkAnDSZJ93glFFeV7XK4HKV2x0xCVpWbwjrJMmvvDShtQNGCCEUSD4SIcdx8+bNGzx48KeffhoZGRn4mFqXgyVcHCt32wkzw6+mb3mVUS8EQH+tJre29m8J8WS4PIowX7S6WztehBBCAeXjGWFNTU19ff2CBQv+AlkQABwc6WA4pUjMWhykSspPGU1uWZXRpho9JtQmg7ualbVqsAghhALNRyIMCwtTKpUWiyXw0fiDg6VswChFcr7i9imzOfXGp4x6XEmESbpeLnEDEQHQxhZWIoQQasxHIhSJRHPmzFm2bJndbg98QK3LxXIEcBwhkEjknMVBKKU3PWWU112trnA4qhxOKlE7qFZQRcbXmUJrTQ9CCP3F+J4s09DQcOzYsY4dO95xxx1y+VV3ET/44IOABNY6bAwrBjdBiimJirU4SKXkZNlNPiDkkQTRT6PJra19KEnX8byxPq7rkYt7h2T8rRVjRgghFEi+E+GePXtUKhUA7Nu376bfmuO4Y8eOuVyu3r17CwQ+PshqtRYWFpIkmZ6e7tnLuHXZaFZEuClKKKAUhJACAVXY/JTR4oLVRYfe6drvxYS0B6+x4y5/d3RMfJyUImWc+eCloiEZ/ogdIYRQIPhOhAcOHPiT7+twOIYNG1ZbW6tQKMxm886dO72m3nz++edPP/10SkoK5ZhDwwAAIABJREFUwzA1NTXffPNN3759/+SHNmVjWCHnEhJCivhjNX0zU0YdlsrC3/7TbeDCs/kfnTv6ccYdizSxfXy+56BI7WOH8gGAaqfTsvVFZlurh40QQihg/FXDdNWqVXa7/ejRo/v37+/ateubb77p1SEjI6OoqOjw4cNHjx599NFHZ8+e7Y8wbDQrBKeAFJCclFRK7AxT0cyU0WO75id3n5SU/vBd439K6fnEwZ+e3P/DFKuxtGnPnmFhZXZ7rdNFtdMlsPZKt9AfkSOEEAqMK4nQbrdXVlZarVYAqKmpqWxGC9/366+/njBhAl8rfdKkSRs2bPDq0K1bN88YsXfv3jU1Na3w0zRhY1gh5xQCSYGYUEpPmcypSh9TRiuKt5lqT6f1fQYAAIjEtIeGTMpTaTrt/XY8xzFenSmCyI6IyKutEyTquji4eiLMH5EjhBAKjCu3Rr/66qvHHntsyZIlL774YteuXaurq31e0MJtmEpLS5OSkvjjdu3a6fV6lmV9bqLBsux777338MMPN/dWHMedPXt227Zt/KlWq+3evXvjyzmOY1nW57VWmhFyDjEQBC0ChaTQZOqsVHh1Zmj777vm97z7DSAEnpcIUpSW9WzNpbxLRZviO47yetuBWs3O6ur7E9sN/IHckhpld5rFoVd6m2VZlmWJm12Igm4a/80HO4pQhN98ULB/uLnLW7J505VEOHDgwM8++4zfd/edd975k2snHA6HSCTij8ViMU3Tbrfb506///73v2022/z585t7K5Zld+3aVVxczJ9mZWWlpqZ6XnW5XBzHMYz3uI1Xb7ULWYeQYcFBMhLBuQZjnFBos131VK/owFJ1VKZc08urHQCSMqad2r8kPO4egrjqq8xSKmaXljlSUzIa2GoyMb/o1+7Jdzf7XfxF2e12giAwEQae3W6nKCrYUYQi/OaDgt994qYToUwmu24uvJII+Q2Y+OOxY8fe3Ed6REdHGwwG/ri2tjY8PNxnFpw/f/7OnTt//fXXa8wapShqypQpc+bM8fkqnwh9vjkAsPVuIWeXcqyIlYgjVDUMm65WN66eaqwtrDi3efA/doqlPjYXVKQNv/j7+6aqvLgO9zZuHyCXXzx8lBaLE2LD3aTo96rCfhkjm4v/L0wul2MiDDyO4xQ3uJsmahX4zQdF0LZh+vP69u2bm5vLH+/ZsycrK6tpn0WLFm3cuPHnn3/233aLFrdLxLkktJN0CkiVtMxuj5ddybgcx+Zvf77bgPliqaa5d+jU5+nT+//rVT5GQBB9I8LzauuodjoNW3e8vt5P8SOEEPI3fyXCp5566ssvv1yxYsWaNWuWLl367LPP8u3p6enfffcdAHz22WeLFi0aPnz4Z5999vrrr7/11lv+CMPsdAiBlrqthI0kFBK93R4nvfJnhf7MZpIUJKU3+3gSAGKSBwNARfF2r3Z+NSGVpItxm8tcOCpCCKG2yl+JMC0tbdu2bceOHdu2bdsXX3xxzz338O0TJ07s0KEDAMTExDz//PMikai+vr6+vr6hocEfYdQ6nRJwSN0W0kYQKqne7ohrdA+2pmxvXOr911g7DwAARFrWrNMH/ufVeodOu6u6VpCk62B1GtibL1WDEEIouJrdmPfP69u3b9M18p5HfUOHDh06dKj/Pp1ncLjE4JQ4zaQZWJm43uWKavQ0sVZ/sH23R6/7JnGp9xXue6u6ZHdk0h2exj4R4afNZluE/LZa4cftIoBjgMCn6Agh1PZcGRHW1dWdPHkyiKH4Q53LJQKnjLaDiakQkdESCfnH5A6Xw2g3l6u1nVvwNkRa338W7r/q5q2YJHuEqQ/U12dLw6upuLOlR/wQPkIIIb+7kgi///57z2TRrKys/Pz8IIXUmgwuVgAOpUDE0UwZSzd+QFhXfiAiphdBtmhMHN9ppMtuqCm7qvJqP60mr7auU2xYPRV1uHhvK4eOEEIoIK4kQoVCwZeVAYCSkhKHwxGkkFpTA81Q4FJSIlIhKXNcNWW0rvxQc9VEmyIIqmOfp88cWtG4sZ9Gs7e2Tp6kU7Dm3w24GRNCCLVJV8ZD3bt3v3Tp0vTp07t372632zdt2nTixImmF0ydOjWA4f1Z9S5ozzpVlJBQSrxmytTqD3S5/fmWv1VCpweP73nZbqmUKqL5lv5azYQDh6BPWmRxQTGN2/MihFCbdCURduzY8e23337ttdf4HQf/85//+LygbSVCI02wnFMJIkIpbbx2gmVcxprC8OieLX8rSiCOSRlWdub71F6Xv4FwkTBRJjspJZNslhqJrPWjRwgh5H9XLZ94+umnKyoqLBaLTqf7+eefDb4EK9CbY2RJmqNVhIhUSsvs9vg/RoSGyqMqTUfBDRYITUx76NLpjY1b+ms1uQZDL1ZmIsObludGCCF06/MxVUQuly9YsKBr167+K/gSGDaGBY5zkEIpJyaUVy0irNMf0MTd8PaHuoT+Dmu1qa5IpenEt/TTRvxQUTlREbOOpKurz0RFtWQOKkIIoVuI7wX1Tz/9dFxcnNvtPnfu3K5du4qKilwuV4Aj+/MMLlpJOGhKTDJiUikps10ZEdaWH9TE3nAiJAgyvtOoS0XfeVr6a7V7auq6xGuqqbgj5/e0WugIIYQCxXci5DjujTfeiIyMTE1NvfPOO9PS0jQazdy5c2maDnB8f4bBycjAwZIyihaCXFLpcMRIJQDAcayh4ogmJvMm3jMxbXTpqa89pUfby2UCgoAYFQuC36vPtWb0CCGEAsL3Krq33nrr+eefv+eee8aNGxcdHV1TU/P9998vW7bM4XD897//DXCIN63eTcs4CxBi0iU0yYRhDqGYJAHAVHdaJI2QyCNv4j3DIrsKhIq68sOepRe3ayNyRayGNpx2/xUWnCCEUKjxkQgZhnn99ddnzJjx7rvvehonTZq0ZMmSRYsWvfzyyypV2yitaXAxEtYEhIBwkrUCwvOAsFZ/UBvrYzeMFkpIG1V6+htPIuyn0eQaDPG0tQr8uEsIQgghP/Fxa7S6urq2tvaJJ57wap8yZYrL5Tp79mxAAmsFBhctZRoojiJtVLkIPA8I68oPaeJaupS+qcS00WVFm1jGzZ/21/5/e/cdH0WZPw78mbK912x6gYQ0EkpoIRBACB1pFu4noJ6np6CIekrxe4IFRVDAU7AcJ6d3Z0NApdcASQgktNBSgCSkb3Y3yfY2M78/ViOGEFI2WZJ83n/4mp15Zp7Prst+8sw8RZGpM8QR3HpcSrs6tJoxAACArtdMIvSskVtbW9tkv1arRQjx+d1mwFyd082l6ggGw23ELZxpHESorzjdkRYhXxwkVkTWlB7zvEyUSipsthGSABOurCy/5IW4AQAAdKFmEqFUKh06dOjSpUuLi4sbd9bU1Dz33HMhISH9+vXrwvA6RGez8pGdS7kwCypBlOfWqM1cRbntQll4R64cHD3nVv4OzzaBYUPkMlIurMGDs2+mdzxsAAAAXan5zjKffPLJAw88EBUVlZSUFBAQoNVqc3NzGYb56aefcLyzljD0Oq3NxsPdAoeZJANLHY5xEjFCSFd+Shk47F5rEN5DUNSDlzPecTmMLI4YITRSqSh0uky4NK+maK53YgcAANBFms9qSUlJeXl5ixYtcjgcFy5cMBqNCxcuPH/+fBesIOhFerudg9EyRwMpkJb/Nr+arjKnHSMIm2BzJaqg5Mrr+zwvU5SKE3V1GspQCEvVAwBAd3PXRYhCQ0M3bmy6LHv3one6xZhb5jITQlGF7delJ/SVOaGxD3f84sHRs4sv/zc07hGE0HC5/EJ9fQqGanEZ7XbgJOeepwMAALhPdJv7nO1Q76QQQ6kQapxfzeUwWupLpKr4jl/cP2JCXfV5p70BISQgiVixuD9f2oCp67UFHb84AACALtOTE2GdG3Mit5LB3AIOgWEiktRX5co0A3GC1fGLEyRXFZRcXXzY8zJFqcAkoioy7Mz1kx2/OAAAgC7TkxOhkcLNjFvFIBOXDOBxEUIN2ssyv0RvXT+g75TKG78+JhypUFzB7Vo88EJFnreuDwAAoAv02ERIMYyNJkwMpqDIOg7hGU1vNBSKFVHeqsI/YoK29ATltiGERqkUp+r0crrhmq07TccKAACgxybCOifFRw6G4JI0u5bEfk2Eem8mQjZXKvVL1JaeQAipORwNlxuO7NWEmPlt0hkAAAD3v1YlwoaGhoaGhs4OxbsMTjcfWTgkH3ezKlgoiM9jGNpcd1Mk6+vFWgL7Tqq8sd+zPUalDOLyGnC1WVvoxSoAAAB0qnskwoyMjLi4OKlUKpVK+/fvn5WV1TVhdZzBSfEYCxfjsJz8UoIO5HGtxjI2T0ayhV6sJaDv1KqbBxnajRBKVSnr+IJaPDiv+LQXqwAAANCpWkqEVqt11qxZDz744NmzZ8+ePTtt2rRZs2bZ7d1jsaE6p5tHNQgwnHDwbmJMEI9n1BeK5V67L+rBE2r44mBdZQ5CaKxadd5urCRDz5XmercWAAAAnef3RGg0Gg8cOHD7scLCQrVavWbNmkGDBg0aNOjdd9+Vy+WFhd3jvp/B6ebRDUK3m7RyCpAzkMczGQpF3ntA2Cigz2RP31E1h+PHYbEZ9xWbyeu1AAAA6CS/J0Kaph977LG5c+eWlZV59oSEhNy6dWvfvl9HCOzdu7esrCwkJMQHYbZdjdXMQzaxo55w8AudziAez2goEssjWziFdtKWCvtvi8+3VkDfSZXX93nWrB+jVgYwxjJM4rlZCgAA4P73eyKUSqUFBQVKpTIuLu69995zOp1yuXzdunWzZ8/m8/l8Pn/OnDkffPCBVCr1YbitV2uzcDCnxKJncRUWilJw2CZ9Sy1Ct426/FnJlS9KTr+RX/Cfcm1OvdPYqmQmVvQjCE699gpCKFWlFBF4PaG21d7w2jsBAADQmf7wjFAul3/66adHjhz58ccfExMTjxw58te//rW4uPiHH37Yvn17cXHxM88846tA20pvs7GQS+aoZwSyAC4XQ4zJcF0ka75F6DK7L28uFgbzhr4RPeClPtJIgeGa6dy6oqv/LGWoe7cQ/ftM8twdHaNS3iDYdYTf9WJ4TAgAAN1DM51lhgwZcubMmeXLl8+bN2/69OlOp3Pq1KlTpkzRaDRdH1+76ZxODLlUBGnncoL4PKupkmQL2FzJnSUd9a68j4vl8eKImf4IQxwpy2+YLHpB8LDV0QhDN3ZU3bOu3+6OIg2XK+WRFUSfMzeyvf+WAAAAdILme41iGLZgwYL8/PyIiIj4+PhVq1Y5nc4ujqyDDA6Xm3FpcJ6JRwbyuCZ9oUjRzJLCdoPz0ifFmuGykInqJocwHOv3WLCpxFp5Ut9yXXLNIIfNYK6/iRCa4KdwYtwrVp233ggAAIBO9YdEWFdXt2TJkpiYmLCwsFmzZlVUVGzatOngwYM///zzoEGD0tPTfRRke9S5kJNxqZBQzyHuNnbCrnPm/aM4eLwqcIyy2YsQHDzmzyHlR2rrC8wt1IVheECftKobBxFCqSqlkq4vIcQMQ3nrvQAAAOg8f0iEjz32WHZ29vPPP7969WqhUPjAAw/o9frhw4fn5OQ8++yzs2fPfuyxx+rr630Va5vUuxkMY3huQbmADOTxTIYi0R1dRssO1fony/2GyVq4DlfOjl4QXPDfcpvW0UKxxkEUY9RKDHMYSJVdV9zxdwEAAKCz/Z4IbTbbsWPHjh49+txzzy1cuPDrr79OSEjIzMxECBEEsWjRovz8fJIkr1696rto26CBIrk4Q9i517l4EI9353TbLgulv2z0T5bf81LiCEHYdL8rX5S6LHdt5KlCUoz6Qrulxp/LRTxRA66uLMrxwtsAAADQyX5PhBwOhyTJa9eueV42NDSUlpbePlhCrVZv27ZtxIgRXR1ju1hoFh9RLDPnCpsJ5HFNhsImLcLqUwZFgpgUEK25mt8QmSJeVPRt+d0K4DjLL2xc1c1DCKGhKlUVEXbm5pkOvgUAAABd4PdEiOP4qlWrRowYMXz48DFjxoSGhkZERKSkpDQ5AcOwro2wPcxuGkcUj3Lj9cR5glYxZgxnc3i/N/4YmqnOMgSMUrT+mmHTNDatsy7/rg8LA/tOrri+FyH0YKCyjlBdtlZ05C0AAADoGn94RvjSSy9lZWXNnDkzNTX1yy+/3LdvH453y3WaDE43n7FwXW4Sl5RQLp6lpMl9Uf0lI1fBFgRwW39NjMDCpvsV/1TF0M2PLPQLG2uozHXaG8b7qcR0fREhhPllAADg/kc2eT1kyJAhQ4b4JBQvMjjdfMbEc5hxqUbJYVsNTbuMVp40BIxuQ3PQQxEvrsow1Jyu04xo5skiyRIog5NrSo4ER8/m4Q49qbJUXBYGD2j/2wAAAND5umWD7570DjefNskY3CoTB3m6jCp+f0BoqbDb9U5FnKgdVw6fobm1X+u2N99rJrDP5Irr+xBCYRKpkVCVXUhvV/gAAAC6Ts9MhLVWI5exqhBpEHMD7xhEWJmhD0iRY0R7HnYKAriyaFH5kebHy/v3SdOWHqfctrFBIdV4aEblhXa+AQAAAF2lZybCGouJjex+LrJCQAbzeabbxk64bZQ+z9jy2MGWhU71q8422A3NTLXD5sqkfona0hMLQzU1ZNBlZEBtXcwCAABA1+qZiVBrsxCMw89OXmYzUVyMYSgOX+U5VJ1lUPQXs4RNH462HltMBqQoSvfWNHs0sO/kihv7+gj5ImS8xfKzaWEZCgAAuK/1zESot9sR41KZ8NM4FUYbxIpoz36GZqpP1fmPvPcg+pYFjVMai63GYuudhwL6Tqm+eYih3eFCloH0051N72BdAAAAOlXPTIRauwPHnAITO4Oy+9tLG++LGq6a2BJSGMzr4PVxFh46ya9kTzONQp5QwxeH6CqypwSHVhPhp27BsHoAALiv9cxEWOtwsZET5yjYbBbe8PucMroLRnWSdxYWVg2WuMzuhuuWOw8F9p1ccX3f032CSsl+F6hqr1QHAACgk/TMRFjnYriU0ylQxolFpt8GETIUU5dvkseJvVIFhmPB41W3DmrvPBQYNa3y+t4gPpuLHDe4MmfdvVc0BAAA4Cs9MxEaKYJL2/RCRZxEbPxtJcL6IgtfzWGL299NpgnVIImzwWW82bRRKJRGkGyRofpCHz6tJTX15455q0YAAABe1zMToYUmhZT1Jk8YzWdRbhtP6IcQ0l82Kvp7pznogeFY4FhV2eHaOw8FRk6pvL5veli4AQ+6dAOWoQAAgPtXD02EDFdOufJYTCitF8kjEcIQgwyXjfL49swm0wK/IVKb1mksadp9NLDv1Irre+ZHBN9kxWY7SrxbKQAAAC/qgYnQRTNujFS40GncrbHd9DwgNJVaWQKSp+J4ty6MwALHKcvvaBRK1fEM7VbabiBEFvA4lNXo3XoBAAB4Sw9MhHUuistYFDbSKOU5q08rApIQQvpLRrlX74s28hsqs1TazWW2P+7GAiOnlRf+Es51VLEC63PhMSEAANynemAi1DscAtqstnL8VFJdebYyaARCSH/Z5N0HhI1wEgscqyw70rRRGBg5rbzw55mhIQ24pjg/uzOqBgAA0HE9MBFWm+q5jEXGCKJ4GE27hdJwa5WddtPCtqw+2CaaEXJTqc1Sab99p1wzkKGpCRKqhIzOsBZ2UtUAAAA6qCcmQouJhWwkJgx2Vqg8zcErJkV/MWrPahOtgpNYYKrizu6jAX0nS6v3GnF5Pp9hHPZmzwUAAOBbPTARVlrqWYxdR4pVxrxf74vmGRXxnXJftJFmhLzhusWu/8OSFEFR06sKfgrlmEtZgcazmZ0aAAAAgPbpgYmwzGJmM/ZLLKGo6rgqaISjzuWoc4oj+J1aKcHBNcnyivQ/rFMo1wykKMcEOaeO1JRfzejUAAAAALRPD0yENTYrm7FrxQrSaRDJ++ovGeXxYgzvtBujvwlIkdeea3Ca3LftwwIjpyZRRVVEn1PGgs4OAAAAQDv0wESos9k5jAOTMMqgEQhhXp9Q5m5YQlI1UFKdabh9Z2DkNMWtb6rI0Ms8M22z3e1cAAAAvtIDE2G9kxJQDpJdqwoa7rZQlgq7NErYNVUHjlVWZRkoB924R+E/mHQZA/CGYk5AfeaRrgkDAABA6/XARGiicJHbJbRdUgaN0F0ySqOEONnp90U9uAq2pA+/5kzdbfuwgMgpQ1jaWpZ/+cVDXRMGAACA1uuBidDCsEQUFWC7LpL1q0jX+ad0dD36Ngkaq6o4pmMo5vc9kdPjTaf1ePApqgTRTAvnAgAA6Ho9MBHaEJfnRIl+EYZLZpJHSPoIurJ2YQiPq2TrLjY07lEEJMU6Lpey+l0UY9arV7syGAAAAPfUAxOhHeMLaTwwcGj5UV1ImqrrAwgaqyw/qkO/t/2wqD6pobj+JjeoIuuXro8HAABAC3paImQQsmN8HoWxnQkMw8iivbzuUmvIYkQIQ/WF5sY9gZHTRjrO1ROB+drzXR8PAACAFvS0RFjvcJCMi4056s/IgyeoO29atZYFpirLj/4+uF4ZOGSY60I+K+mU1ExpDS2cCAAAoIuRnXdpm82Wnp5OEERqaiqH0/xCgOXl5TU1NQMGDCAIwiuV3jLqeIxZLBRQdZjy7sMHaYYuMFy/UHNZa9X5CVRqvtJPoPITqOVcGY55IXmqBkpK99WYb9mEITyEEEJYStQIshxd4/uVH98X+tD/63gVAAAAvKKzEmFNTc3IkSPDw8PdbvfSpUszMjJkMtntBYqKikaPHt3Q0GCz2err6yUSiVfqzdfe4iKr1KUMGq+6szmoterSSzPO11zKq73qx1cN8OsfKPSvsdZe0xVqrbU1lloSJxfEPzK5zwME1qHEjBFY4Bhl2dHamMdDPHtCYx8afHO7jhVUWXg8FEEiBACA+0VnJcJNmzYNGDBg+/btDMNMmzZty5YtK1asuL2Av7//sWPHhEJhcHCwF+stqirh0HSwua9q4B8ya4Wp6r9Xtp8szx4bkjIxYtyyEUsknGbai9f0hf+8+J9vru54MuFPY0NHdaR1qBkmKztca6128DUchJBQGjGOrPiUHnaakzfc7sS47HZfGQAAgBd11jPCnTt3zps3DyGEYdijjz66a9euJgWEQmF0dDSOezmAm3U6Dm2PGp3cOLnozfrSNzPXLzr4qp9A9b8Zn7009NkxISObzYIIoRhF1Afj3vzbsEU7Cnc/tXdJTlX7+7bgbDwgRVFx7PcnhTOiB1UToRek7NrsM+2+LAAAAO/qrBZheXl5SMivdwWDg4MrKirafSmaprOzsz/99FPPy9DQ0LS0tMajFEUxDENRlOel1mLmEvge1oGazFqtpVZnNzjcjrn9ZryU9CyP5HrK37PG/srYjx5491Rl7rrTH08Kf2B+3MPtaxqqR0jOr70RqFNwZCyEUFjktKgrO0pZobfO7FOMGtGOC95XKIqiKArzxiNV0CaeT97XUfRG8Mn7BPWb9p2O4/g9f6Y6KxG63e7G/i8sFsvhcHTkauXl5Tk5OZ5tu92empraeMjpdDLM70P2nooZl5v1b8wQNiA0URmskHOkGoEfiROIQg6qbTEMUvTfmPr2mjMb83VFrw5ZzCd5bY4bR4pBwvJjtUFTFQghhPEmsGsPMyHFjhOxdjvq5inE4XCQJAmJsOs5nc4O/oMC7QOfvE+4XK6O/M3N5XJ9lgg1Go1O9+tdQa1W6+/v3+5L4Tg+d+7c1157rdmjJEkyDNPYK3XmsGHfXJc/kfGWmggTPTCx3ZV68Pn8TWlr/nnhP0vSV76duiJcEtLWK4SNZ599vyh8sj9LSCKE/l/8wM15gizFobQynSQ6tIPh+RZN03w+HxJh16Mois/v3PU1QbPgk/cJTyLkcrmdV0VnPSNMSUk5cuTXxRaOHj2akpLi2e6CGwtPpPZd2G+d5fzxuu8/QnRHqyMw4pmBCx+Lf2jp4ZVZFTltPZ0lIpWJksoTes/LxKjxclpXwA+5fnx3BwMDAADgFZ3VIly6dOmYMWOUSqXb7f7qq6+ys7M9+7lc7pEjR0aPHk3T9IoVK8xmM0Jo1apVQqHwrbfe8krVk4Kw96SKo4PeT8t4X/f53+WPr8S5Hf0jbnLEA2GS4JXH31mS9ExqSHKbzg0ap7yw4UbgOCXJJXCCNY6rLaACGorbnFMBAAB0hs5qEQ4aNCg9Pb2qqkqv12dkZMTExHj2v//++xEREQghDMNkMllwcPB7772n0WikUqkXa397MLEyjyN+4u+k0l+7frE9/2zHrxmjiFo3bvWm3M9OlmW36USunC3rJ6rO+nVtpvmxA0uIuGxZneVWbcejAgAA0EHY7T1N7k/Lli2TyWR3e0bo6Sxz58w1afvcc8Pxp6NxR9HFuu0fk8oA2dxFhEzdwWCu193827HVLw99LiVoWOvPslTZr3xWkrQiCmfjDEKS745MMv/nb+5RQ555soPx+JDZbBYIBPCMsOuZTCaRyAeT6AL45H2iGz8j9Lk1Q4g3z9M2N+JEJvq9uoUTEVezbpHpyPcdfGrYVxaxbuwbH5zZnFXRhrGAAn+uOJxflWVACGEIDWFVl7OCUMlRdL//EQIAAD1fj02ESUpssBL7PJ9GCGEEKXrgYfXSjfaC89oNS901ZR25cl9ZxLupr7+f/fGZynOtPytkol/5UR3loBFCC/vF64nwdHVd+eXrHYkEAABAx/XYRIgQeicJf/ciZXL9+pJUBaqee1c4eob2H6+YjnyPOnBPOFoRuSZ15TtZGwoMrc1kfA1HGimoytQjhOb063+LjMwVy4sP/dTuGAAAAHhFT06E8TJsbAD+jyv07Tv5Q8arl26yXzlTu2UFVa+727n3FKvst2zEkpXH12itrb1IyCR1xXE95aAFJD5K0FDNDmIMpxmKvveZAAAAOk1PToQIobcH4xsuU+WWPzT+SIVGtfh9TmRCzfrFtvMn2n3xEYFJc/pNe/U7SNP0AAAgAElEQVToKovL2pryPBVHFiWsPKlHCL00ePhNcuABP9vFjAvtDgAAAEDH9fBE2EeMPRuDv3L6jlYXjosnzFM+81bDvq/qvt3AOO3tu/682NkJ6rjVGetoplUNu5CJ6srjOreNStMoLYTqolBTn9F0OnIAAABdqYcnQoTQ8kTiTC1ztLKZJ4Ls4Ei/v23G2Nya9YtdFTfad/0Xkp520+4t575sTWGuki2PFVee0OMYeiSApydDzc7LZrOtfVUDAADouJ6fCHkk+nA4/nwW5WquzYax2NLZz0qmPq777HXz8V3t6EFD4sTqUa9lV579qWhfa8oHT1RVZRrcVuqFhAFX2SMOqumcQxltrRQAAIC39PxEiBCaGYqHiVCTXjO34yWmqJZ8aD17TP/lW4yjze0zEVu4duzft1369nzNpXsW5srZinhRxQl9jJirZNHXhMH4+b1trREAAIC39IpEiBDaNIJ47yJVab1rg49U+KuWfIALpdqNS9366rZeP0CoWZ3y6puZ6yvN9z43eIK6OlPvMrmf7ReqI/qWcYqLq9rffxUAAEBH9JZE2FeM/SUaf/VMS11aMIKUPfyCcNSM2k1LHUVt7syZoI5bEP/wsvS37tmJlCNjqYfKSg9on4yMKGANPqpiXz5wtK3VAQAA8IrekggRQisHEJk1THrVPZ4CCpKnyB9fafj6ffOJNo92nxU1NVEdtyZrA32vZ43B41X6S0au3j1I5LzJDRcXHaLu+0lfAQCgR+pFiZBPog3D8WcyKIv7HiU5EfGqFz6wZO2t3/5xW+cmXZL0jNll3Xbpm5aLkTwi+AFVyZ6aJXExZWT8eZn28JmrbaoIAACAV/SiRIgQmhmKp/hhS7PvndtIpb966Ua3vlr3xao2dZ8hceKtUcsOFacfLT3Zckn/kXJbrWOMXaglw7JkUsf+Ha2vBQAAgLf0rkSIEPoomThexXx/897j3zEOT/mXN0mFRrtxKVWnbX0VYo7ordHLPsr9vNDQ0thEjMBCp2jKf6mZrsLL2REi95lTN8pbXwsAAACv6HWJUECi/40lnj9F3TK34pkcjkvnLhIMn6TduNRZVtT6WvrKIl4bvmTF8XdqW5yJVJkoJjj4QjK8kDX0xwDWjZ0/t74KAAAAXtHrEiFCaLASeyGOWHCcolvXPUWYOlM6+6+6z163X8tpfS0jApNm95u6PP1tu7ul+dvCZ/jLj5nUXG6BICSq9ni+vr71VQAAAOi43pgIEULLE3EcoQ8vt3blB17iKOVTq+u++dCac6T1tfwpdk60IvKdFjuRikJ5ojD+C6zgfFbKL0GWjB/3tP76AAAAOq6XJkIcQ1+NIdbnUTm1rR20wA6LVi16v2Hfv01Ht7e+oheH/NXkNG/N+08LZcKm+iVmu2i24ow4NPb6sWpbO2cABwAA0A69NBEihIIE2KYRxP9Lp+qdrT2F9AtWL9lgzTnc8Mu/WjkrqWcm0qMlJw/cvOuQea6CHZAs/4tdVkoOPK0p/3nfwdYGBAAAoMN6byJECD0SgU8Nxh454qZaPZadkChUz6933Lhk+ObDVg4xlHDE7435vy3nv8zTXrlbmeDxqrQSfjUrKl0eEpKbbnG3bfAiAACAduvViRAhtG4o4aTR6nNtSDw4X6h6dg3doNdvW8O4WtWcDJUEr0p59Y2M98tNlc1fk4VHz/R/pA6/RcbrRQXfHD/W+ngAAAB0RG9PhCSOto8n/3Od2V7c2o4zCCGMw1M8/SZGkrrPVtI2c2tOGeDX/6nEx5anv21yNl9eHif6MxlUxB64W63knciEGdcAAKBr9PZEiBBScNCP44lFWdTV+jbkHowg5fOXsUP61W56maqvbc0pU/tMGB4weOXxd1x085O8Jc4OTKuz3+TEKNGFL04caH0wAAAA2g0SIUIIDVRg64cRsw9RDa3uOIMQQhgmmfGUYMRk7calrqqS1pzx7KAnRWzhB2c2N3uUI2O9HhZ/iTXyxyA2//A5kxO6jwIAQKeDRPir+X3xcQHY/HTK3YZbpAghJEydKZn6hG7LcmfJtXsWxjHs9ZEvXzfc/OZq8zOLDhyvGWqzXOHGhmAZH//yXdtCAQAA0HaQCH+3aQRBMcwTJ1rfh/RX/CEPyOa9rPvnKlte5j0L80juu2Ne31Gwu9lZuTECWztgcB479atgWezZglJ9WRtjAQAA0DaQCH/HwtH2B8hiE7Mip82jF7gxSapFa+t3fmbc39LYeQ8VX/n+uFUf5X5+tvrinUeHDVCl0Mw1TqxdeO6LXTvbGgkAAIA2gUT4BzwS/ZRG/lzKfHCpjXdIEWL5h6lf3GC7dKru+4/uOcQwXBKyatRrb2asv15XfOfRf00feYk96tuAkLSCotOFJ9oaCQAAgNaDRNiUgoMOTiY+vkp/WdjmXEhIFOoX1lN1Wv2XbzNOR8uFB6jjlwx5eln6WzWWpp1O/YXsJYHifNbQ85rru/aeomlXWyMBAADQSpAImxEowPZOJFbkUHvL2jyYD+PwFE+twnjC2k9eo80NLRceFzrqoegZrx5bdefgwjdGJtaREb/Io2dUFezI+m9bwwAAANBKkAibFyPFdk0gnzjhPljR9lxIkPJ5L3FjkrQbl7prK1ou/EjMzCT/Aa8fX+Og/jB0g41jW4ZF5XHG7Qyqu5xVZTHCmr0AANApIBHe1TA1tmsC+dgx9y+32nyPFGGYeNJj4rR5tR+94rh5ueWyiwY9pRYoXz++xkX94RborLCgED43Q5owpuHyu7v/wTAwASkAAHgfJMKWjFBj+yaRT5+k2pMLEeIPnSCf/6r+X29bzx9voRiOYctHvCjmiFaceKdJLvzv2OQ89ritoURUvvjwqS/aEQMAAICWQSK8h8FKbPdE8umT1M+l7cmFnKiBqmffafjpC/PxXS0UwzF8ZfJSIUuwOnOd+7Yep/3EgplqdJk/kOZnbM+x6qovtCMGAAAALYBEeG+DldhPaeTTGdTuW+2ZCJsV2Ee95EPLmYOG/65rYbUKHMNXJr9EM/Sbmeuo2+6CfpySUsIe+G//6AXVF9bs/4pyw7xrAADgTZAIW2WoCvsljXw6w/15fnvahYRMrX5xI4aT2o0vunVVdytG4sTqlNdsLvu7WZto5teKpCzi6+F9L3CnfByODb8h/un4h+18DwAAAJoDibC1hqiwjOnkxsv0klMU3faWIcZiy+YtFY6cpt2wxJaXdbdiLIL1duqKBqfx7yfXNj4vnBYSNMOfnydIvim7cOSioKz4SLvfBQAAgCYgEbZBhAjLnE5ermPmHqGsza+kdA+C5CnKp1bV79hs3P8fdJcVBzkEe03q6yycfOXYKovL6tn5eUqymdvngCpqtj7n3cN77Obqdr8LAAAAt4NE2DYyDjowifTjoeSf3eWW9jwyZIfHql/+h+N6nu7z/6MtxmbLsHDy7ymv9JWFLT38er2jASHEwbFfxg3JYU/9sK8orUS45efl7t9yJAAAgI6ARNhmJI62jCQe6YMn/0wdqWxPLiREMtVz77FDo2vWL3aW5DdbBkPY84P/MiZ05PMHl2utOoRQgkyyvJ88j/tAtuaqqSRp+y9LYWQhAAB0HCTCdlqeiG9LJR4/Ti05RTnb0YEGx8WTHpPNXaT/1+oWRlb8KXbOtL5pzx9cVtxwCyG0YkD/AJH0hDQhDD98smRg5tG3O/AOAAAAIASJsCPGBWDnZ5GlZpT8s7uwoT1NQ27cMNULH1rOHDJ8vZa2N3+r85GYmX8ZMH/p4ddzqy5gCP00fvQ1burXAaETTUe/yBcXnP9nx94EAAD0dpAIO0TJRbsmEH/uh6f84v5nQXtGVpBKf/WLG3CuQLtukbP4arNlxoelrklduebUhp2FezRc9tFxiWe4sz4K93+iIm/TqaLK6/s79iYAAKBXg0ToBc/G4OnTyM1X6ekH3dW2Np+OsdjShxZLH1qs//eahl/+xVDNdEiNVfb7OG3tzsK9H+V+kSiXfJ8ceZoz690o/rxSy8ZD3+nKz3jhbQAAQK8EidA7YqXYmQfJFD88cYfr6+vtaRpyowf7vfKxq7q0dtPLza5ZESDUfJK29mZ9yd9PvpfiJ900IPAMb+a6aOe4ksAtu9+rKc3s8JsAAIDeCBKh15A4ei0RPzSZ/CCPfvgIpWv7VGi4UKp8ahV/yAPaTS+Zj+9EdNOEKmIL141breTJn9r74kgl9kqU8jR32n8jbw29mfDxnn9UFWV4550AAEBvAonQyxLk2KkZZLAQJexw/buo7VPQYJhw1Az10o32qzk1HzzvLCtscpyFky8Oeea5QU++lr46gMif6C87yZ/8dVTp+OLwjw58UX75hJfeBwAA9BaQCL2PR6IPhhG708jP8+mhu9zZ2jZnQ1Lhr3x2jXjCo/ov3qjfsYVxNH3wOCp4+OeTN5ytvqikDg1W+aULpq2PrZt6S7Ll2LbS3HTvvA0AAOgdIBF2lkFKLGM6+XwcPvuwe0E6pW17JxregFF+r26hzQ017z9ny2v6CFDNV26a8E6Moi8yfz1Zw8rgz1kVi02sYH2e+c21/Tu88x4AAKAXIFatWuXrGO7h8OHDPB4vJSWl2aMURSGESJLs2qBaBUMoUYE91Y84U8s8m0k5aWyQAmMTbbkCm8tLTGH5hzXs2WY7e4zlH0pIlI1HcQwfrEmMUURmlHwbzKFP0KMLZSULb5m/t9nIiweCYkcTrLZU1kZOp5PNZmMY1nlVgGY5nU4Oh+PrKHoj+OR9gqZphmE69UceWoSdTsJGG4YTZx4kb5mZvt+71l6kbW2csJsTNcDvlU+Eox80bFuj3/aOW/+HGbcT1HFbp3w0KzwoCf2Uy5369+igYaar5/R+3376mL6wzJvvBAAAeiJoEXYRKQebHoJPDMK/vs4sz6X5JIqXY2Tr/w7BMJYmVDBisru2su67jVRdDUsThvMEnoM4hvdXxT4Qmlhd8/NJV/JFCU/NnO5fFXOo6n/KOpWibxjqhGYbtAh9BdolvgKfvE90QYsQEmGX8uNhj/bBUzTY1gLmb2eoBheKkeIiVmtPxwiS0zdBMHyiq7q07ruNrqoSliYUF4g9R8Uc0YORo2N5FYeq6zN4qTdl1x66xRw1l7hyTyuCBnPEXv4HDInQV+Dn2Ffgk/cJuDXaMw1VYT+nESenkXUOFP+ja+Fx6pyuDT1LcYFYPOkxzYqtpDJA+9HLhq/XOm8VeA5hCJvRJ/XCw089Hmw5w532cmwMm9GWGITfbF9w/t973RZYrQIAAJqCFqHPKLjYlGD86WiizIJePk1/d5MmMdRPgrFa98cJxmJz+iYIR06jGvTG3f+y5hxFBMHyC8YIgsDwiSGxcwJ5X5fWHRPF1gvOT74lOEY3GHL+IyESRYFSr9wphRahr0C7xFfgk/cJuDWKUM9NhB48Eo30w16Iw/356Osi+uXTVJUNhQoxFbdVCQYjWZzwWOGoBwmZyppzpOGnL2hTPSFVEUKJkid8Pi7eYq3+1hqdoWQJUX60NuRE3XfurFs8fpTAj9/BdAiJ0Ffg59hX4JP3iS5IhN01f/QwBIamh+DTQ/ASE/NFAT1+L6Xiornh+NxwLFraikyDYdyYIdyYIW5DjSVrr27LckKi5A+dwB805u/Dxr082L3kpP27mujzwtzZNdzLNvvZk88OPpzaL3WeerAMwyGTAQB6NYxh2rOQXldatmyZTCZ77bXXmj3qdDoZhulhf6bRDMqsYbYX0z+WMDI2mhOOzQ7DE+Stzlg0bS84Z805ZL92lhM9iD9oLDcmqcRqeexY+hWboJ/z1BRdsb85TC8tTXGOjEyZqR4sw1t5Q/Y2ZrNZIBBAi7DrmUwmkUjk6yh6I/jkfcLlclEUxeVyO68KSIT3NZpB2VrmxxJ6ZwmDY2hWKDYzDB+hbm0rjraZbedPWM+luyqLefHDeYPGnBP7vZxzLs8miXadTqnPT9D76yXVA63h4XGPBI0K5SrYrY8NEqGvwM+xr8An7xNdkAjh1uh9DcdQsh+W7Ed8MAxd0DO7SunnMqkaGzMuAE/1x1I197hxivOEguQpguQpVIPeduGkcf9/wnSVe+OGl/UduFwb+QV7eJj8cn9rg5+x4mr+P9SF9ijJI6HDkmSxIoIN3YkBAL0FtAi7nxITk17FpFcxx6sZu5tJ9cdTNNhoDRbfiud9lEFru3zKdjnbdavAEjn4PXnwHqfCQZPh7ksp9deHGMgGgTPM5hcYNCEkaYAsRoSTd70itAh9BdolvgKfvE/ArVGEIBG2qNTMHK9iTlQzGdVMjY0Z6YelaPBhamywEhO3OE6ftpnt13LtV047ii7mihSbA2Kyib5sxhbmyh9ivDVSTxnZmIaSK5TDwhOTldESjqzp5SAR+gr8HPsKfPI+AYkQIUiErVZjQxnVdEYNk6tjLuqZAD6WpMIGK7EEOZYox5R3/xa5ayscNy7Zb1z6QVf5vST4CifSiglC3fkxtpvJepPKwXKQPA2ukQUNCY2PUfWRscUkgkToO/Bz7CvwyfsEJEKEIBG2C8Wg/HomV8fk1jKX6pg8A8PBUX851l+O9ZNgkRIsUoyCBM3kMKpB7ywtOHvzyuZ6Qw7pX84KFzBGP/etMEd1vNEUaaIYQiRmhBJZqCgksk9smDpU0cLtU9AZ4OfYV+CT94nu3Vnm2rVrWVlZQUFBEyZMwPFmOl8YDIZ9+/bhOD5lyhSJRNJ5kfRCBIbiZFicDFsY+euecgtzyYAu1TFnapn/XqcLGxijC0WKsTARFiZCYUIsRIhChViIUKFKSE5JSE5BCNG0U1e151r2jmpnHgo47R9sCpQqqCqVu0rjLAorvtjnqsPfLiAJIVek4GrC5UFKvyBlQKAfm2z19KkAAOBrndUi/P777xctWvTQQw9lZWVFR0d/++23TQqUlZUNGzZs9OjRLpfr7Nmzp0+f9vPza/ZS0CLsJCYXKmpgSs1MqRmVmJlSEyo1M2UWxuJGIQIsWIiCBFiwAPnxsKDf/ut26n++fCKzuqzIydFiCj3hhzOMnKmRuXVKt0HlsmgcjkArCrDzEFvEFopYcrXQz0+mlqo1Cj+FikO0YXgGuBtol/gKfPI+0V1bhAzDrFy58tNPP50zZ47RaIyIiMjNzU1KSrq9zMaNG8ePH//VV18hhObOnbt58+bVq1d3RjDgbkQsNEiJDVI2vbFpc6MSM1NuQeUWptyCrtYzhypQjY0ut6Bau4TEpiu4mEqAYlmUik+SqNpuNTeY63SYrJwdZBaJTbjMjvEktF5Am4S0gV9RISqzSNx2idstdrvkLkbhxqUMl+DxWWIxWyLhy/xEKrFIJhMLBUK2UMQWkngnricMAABNdEoiLCgouHXr1rRp0xBCYrF4/Pjxe/bsaZII9+zZs3btWs/2nDlz1q9fD4nwPsEjUYwUi5Ei1NxspGYX0tkZrR2V1zmtGGlw+hscGoMDKR2o3sEYXajBiYwuK00Vsl0ODobhCKsnJVUslR3nOzC+DRPYMIEL43AYG5e2su02TqWeXVHBpp1sxsllnGzazWGcXIoiEc2hKDai2RTNZzACMQKM4CJaQHDZJEtFsHlCAZstlkhFuFDG47EJghCKZRiJibginMMjcZJHduKfkACAHqNTEmFlZaVSqWy8XRkYGFhZWdmkTEVFRWBgoGc7ICDgzgKNaJo+duyYZ3JthFBkZOTMmTMbj7pcLoZhmn0GCToDB6FALgrkokjSIRCQd+k1ykMoEaFEqxuZXchCoXoHsrqRjUINLmR1o3qnvdxUa3bo6oyVLofV4TJSjNPBIDfCbQRpRDw3i3DjJIUIF8ahEe7EuAghJ8ZlGNyJc2iEuzCOm2FhDppbbUWIRsjOYWwYo0MIYRjNZuwIIQwhknESiGq8+89inASim8SKIYbFOLG7PCMgGJrNuBhPwbbAEIYYDCGGw9jbdCIAoGVvJo5J7j+4lYVJ8m4/U7eV6XBIzaAo6vaKcRx3u91NytA03ViGIIg7C9zOZrMZDAbPttFobEyKnroYhrl9D+gaFEU1+R99Jw6GOGykQCiE1+QIC6EAhAIQSmhP1QwyuTCEUIPLWWmqd9BMjbXeaHQ4XZTJaXc5GuxON42Qw+l0uF0UomiGYmiKoCgLjrkRYhiEEI3Tv2ZEN0JOnPCkQQw1TYduDHMi1m37W/lMHWMwGmEMYjA7Dg1TALzJRTta/5tPEIRvEqG/v79er6coiiAIhFBNTU1oaOidZbRarWe7uro6ICDgblfzdCu9W2cZHMehs4xPuN1uLpfrq3GEAh5CCGkQp5/C03khpH05tTuCLhu+Ap+8T3RBZ5lOuaMYHR0tl8uPHz+OEHI6nUePHh07dqxnu7a21lNm7Nix+/fv92wfOHBg3LhxnREJAAAA0LJOaRGSJLls2bInnnhi8eLFR48ejYiI8CTCI0eO/OlPf6qrq0MILV26NDk5mc/nu1yuHTt25OTkdEYkAAAAQMs6q4/J888//89//rOhoWHWrFkHDhzw3EBLSEj45JNPPAViY2Nzc3OFQqFCoTh79mxEREQnRQIAAAC0oNtPsfbBBx80NDS8+eabXRwVmDNnzjPPPJOWlubrQHqdoKCggoICgUDg60B6l7y8vEWLFp08edLXgfQ6mzdvLi4uXrduXedV0e1HHdhsNofD4esoeiOLxeJyuXwdRW9UX19////92vNQFGU0Gn0dRW9kt9vt9s4dg9TtEyEAAADQEZAIAQAA9Grd4Bnhhg0btm7d6u/v3+zRyspKt9sdEhLSxVGB/Px8jUYjlUp9HUivk5ubO3DgQM8gXdBlrFbrjRs3+vfv7+tAep3q6mq73R4WFta+0z/99NM+ffq0XKYbJEKapo8ePerrKAAAAHQ/w4YNu+c0CN0gEQIAAACdB54RAgAA6NUgEQIAAOjVIBECAADo1SARAgAA6NU6ZdLtLmMymfbv309R1KRJk6Aff6eiaTonJ6egoECpVI4bN65xSZSsrCyr1erZlsvlgwYN8l2MPVNOTk5DQ4NnWyQSDRs2zLPtdrsPHz5cU1MzZsyYO5c5Ax1UX1+fm5t7+56EhAS1Wl1ZWXn16tXGnUOHDhWLxV0eXQ9EUdS1a9eqq6vHjRt3+0LrFRUVR44cUSgUaWlpLBbLs5NhmPT09JKSkuTk5H79+nW89m7ca1Sr1Q4fPjw+Pp7D4WRnZ586dSooKMjXQfVYM2bMKC4uHjx4cFFRUWVlZWZmpmcJyX79+kkkEolEghAaOHDg+++/7+tIe5rk5GSbzaZUKhFCffr0+fTTTxFCNE1Pnjy5rq4uISFh586dP/zwAyxk5l1Xrlx58cUXPds2my0zM/PUqVPDhw//17/+tWzZssTERM+hjz/+2Cs/xL3c5cuXhw8fzuPxdDqd1Wrl8X5dyDs7O3vq1KkPPvhgYWEhjuNHjhzx5MIFCxacO3du5MiRO3bs+OSTTx5++OGORsB0W2+88cbMmTM92/Pnz3/55Zd9G0/Pdv369cbt8ePHL1++3LMdFRWVlZXlo6B6hREjRuzevbvJzv3794eFhVmtVoZhNm/enJyc7IvQeott27ZFRUXRNM0wzNatWxt/doC3mM3mysrKkpIShJDnW+0xceLE9957j2EYp9MZFxf3ww8/MAxz8eJFqVRqMBgYhtm5c2efPn0oiupgAN34GeHu3bvnzp3r2Z47d+7u3bt9G0/PdvvUDP7+/k6ns/HlpUuXDh06VFVV5Yu4eoX8/PwDBw6UlZU17tm9e/eUKVM8fzjPnTs3KytLr9f7LsAebuvWrX/+8589a8khhBoaGvbv33/u3DmKonwbWI8hEAjunDvM4XAcOnRozpw5CCEWizVjxgzPj/zu3bvHjRsnk8kQQlOnTq2srLx27VoHA+jGibCioiIwMNCzHRgYWFFR4dt4eokrV678/PPPCxYs8LwUi8U//vjj2rVrIyMj169f79vYeiSBQLB///4PP/wwNjb29ddf9+y8/cuvUqnYbDZ8/ztJYWFhdnb2/PnzPS8xDKurq9u8efPcuXOTkpKqq6t9G14PVlVVRdN04wOvxh/5ioqKxp0sFkulUnX8y9+NO8tQFNX4TJUgCLfb7dt4eoPKysqZM2e+/fbbCQkJnj3Z2dmeSS9zcnJGjRo1Y8aMqKgon8bY0+zfv9/zCefn5w8ePHjGjBlDhw69/cuP4Pvfmb788sspU6Y0tlcWLFjwxBNPIIRcLtesWbP+7//+74svvvBpgD2Wp8Hd2BBv/JJTFNXYawYhRJJkx7/83bhF6O/vr9VqPds1NTWevhug82i12vHjx//5z39evHhx487GqZ+HDBkSHh6el5fno+h6rMZPODo6esCAAefPn0d//PIbjUabzQbf/87gdru/+uqrJ598snFP4/8OFov10EMPXbhwwUeh9XwajQYhVFtb63nZ+CN/+5efpmmtVtvxL383ToRjxow5cOCAZ/vgwYNjxozxaTg9nE6nGz9+/KOPPrps2bJmC9TW1paVlQUHB3dxYL2HyWQqKiryLLQyZsyYw4cP0zSNEDp48GBMTIyfn5+vA+yB9u3bR1HU5MmTmz169uxZ+MJ3HoFAMHTo0IMHD3peNv7Ijxkz5tixY55uCllZWQKBIDY2toN1deNboy+88EJSUpJcLmez2Vu3bs3MzPR1RD3Z/PnzKysrKyoqnnnmGYTQgAEDnn322dzc3NWrVw8bNoym6a+//nrChAlDhw71daQ9ys2bN//617+mpKQQBPHtt9/Gx8enpaUhhGbPnv3WW2/Nmzdv6NCh69evX79+feMdJOBFW7duffzxx2+/EffEE0/I5XJ/f/9z587t3r372LFjPgyvx3C5XIsXLzabzQihxYsXC4XCTZs2IYRWrlz55JNP6nS6q1evVldXz5s3DyE0evToyMjImTNnTpgw4eOPP/7b3/7GZrM7GEA3HkeIELp58+b//vc/mq0UEeQAAAOhSURBVKYfeeQRGM3TqXbs2KHT6RpfhoWFpaWlmc3mXbt2FRQUkCQ5aNCgadOmwc+xdzkcjp07d3o6xSUkJMycObPx1lx9ff22bdt0Ot2ECRNSU1N9GmaP9eWXX6alpTX2S0II5eTkHDt2zGAwBAUFzZkz527rpII2oShq69atjS/ZbPbjjz/u2T516tSePXukUunjjz/uGU2LELLZbF9++WV5eXlKSsqUKVM6HkD3ToQAAABAB3XjZ4QAAABAx0EiBAAA0KtBIgQAANCrQSIEAADQq0EiBAAA0KtBIgQAANCrQSIEoHv47rvvzp496+soAOiBYBwhAPeF/v37WyyWux09ffp0bGzswoULYYkPALyuG0+xBkBPMn/+/MZVHj1TxrzyyiuNR3k83ooVKxoX/QAAeBG0CAG474wfP76oqKi0tLQ1hfV6PZ/P9yzSixBiGEan0ymVymanuzOZTBaLRa1W376KEwC9HPxjAKB7iI+Pf/PNNz3bmzdvlsvlZ86cSUxMVCqVIpFo0aJFFEV9//33QUFBarVaJpNt27bt9tPT09OTkpLEYrG/v7+/v/+WLVt88B4AuC/BrVEAuoeamhqj0ejZttvtdXV1CxYsePnllwcOHPjTTz+9/fbbdrs9Ozt78+bNGo1m7dq1f/nLX1JTU8PDwxFCmZmZEydOnDRp0oYNGyQSyffff79o0SI+n79w4UKfvicA7guQCAHorpYvX+7JZElJST/88MO///3vq1evRkVFIYQ+++yzXbt27d69+/nnn0cIvfbaa3FxcT/++CNJkgihhISEoqKidevWQSIEAEEiBKD7mjhxYuN2ZGSk2+32ZEGEkEqlkslkZWVlCCGTyXTq1KlHH300PT29sbxard6xY4fT6ez4Wm4AdHeQCAHormQyWeM2h8O5/SVCiM1me7qh1tbW0jS9a9euffv23V5AJBLp9XpYUQ8ASIQA9HBisRgh9Oqrr77xxhu+jgWA+xH0GgWgh1MqlXFxcTt37nS73b6OBYD7ESRCAHq+d999Ny8v7+GHH87Ly7PZbLdu3frhhx9ef/11X8cFwH0BEiEAPd/06dO3b99+/vz5xMREPp8fGhr69NNPw2QaAHjAzDIA3HdomkYINZn8haZpDMOanS+mlRiGKSoqqq+vVyqVISEhnqEUAABIhAAAAHo1uDUKAACgV4NECAAAoFeDRAgAAKBXg0QIAACgV4NECAAAoFeDRAgAAKBX+/+imr0KJP3rXgAAAABJRU5ErkJggg==",
"image/svg+xml": "\n\n",
"text/html": [
"\n",
"\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Same as before but applied on toulouse_neigh. May be a bit long to run.\n",
"betas = [0.05, 0.1, 0.15, 0.25, 0.35, 0.45, 0.55, 0.65, 0.75, 0.85, 0.95]\n",
"alphas = [0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2, 0.2]\n",
"\n",
"predictions, taus = Simulation_SIR(toulouse_neigh, 100, betas, alphas, 100, 1000)\n",
"plot = Plots.plot(predictions[:, :, 2], label = taus', xlabel = \"Time\", ylabel = \"% of infected\")\n",
"png(\"img/q13_3.png\")\n",
"display(plot)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"\n",
"Question 14 (code): Implement a script plotting the number of infected over 75 time steps for $\\beta=0.3$ and $\\alpha=0.2$ fixed and on 3 contact networks:\n",
" \n",
"* A regular graph of 200 vertices with degree 2.\n",
"* A regular graph of 200 vertices with degree 5.\n",
"* A regular graph of 200 vertices with degree 10."
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"image/svg+xml": "\n\n",
"text/html": [
"\n",
"\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plots of the number of infected people according to tau over 75 time steps for 3 contact networks.\n",
"n = 200\n",
"Plots.plot()\n",
"betas = [0.3]\n",
"alphas = [0.2]\n",
"\n",
"plot = Plots.plot()\n",
"for d in [2 5 10]\n",
" net = random_regular_graph(n, d)\n",
" predictions, taus = Simulation_SIR(net, 1, betas, alphas, 75, 1000)\n",
" Plots.plot!(predictions[:, :, 2], label = d, xlabel = \"Time\", ylabel = \"% of infected\")\n",
"end\n",
"Plots.plot!()\n",
"\n",
"png(\"img/q14.png\")\n",
"display(plot)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"\n",
"Question 15 (written): From the previous figure, explain why lockdown can be interesting when hospital places are lacking ?\n",
"\n",
"> On observe qu'en diminuant le nombre de contacts potentiels entre les personnes d'un réseau, le nombre maximal d'infecté à un temps donné diminue. Ainsi par la mise en place d'un confinement les hopitaux peuvent être capable de supporter plus facilement la charge d'infectés."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"\n",
"### 2.2 SAIR\n",
" \n",
"The vector containing the disease status `state` has to change a bit since we added a new state. Hence it will be an `Array{Int32,1}` where Susceptible=0, Infected=1, Recovered=2, and Alert=3."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
" \n",
"Question 17 (code): Implement the function `Simulation_SAIR` (respect the header and the specifications).\n",
" \n",
"###### The corrector should be able to write `predictions, taus = Simulation_SAIR(net,nbinf,betas0,betas1,alphas,kappas,t,nbsimu)` with your code."
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Simulation_SAIR"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\"\"\"\n",
"Take a contact network, different diseases (defined by different parameters alpha and beta), a number of initial infected people and process nbsimu simulations of SAIR over t time steps. You will provide the prediction of the percentage of infected at each time t as well as the spreading rate of each disease.\n",
"\n",
"* PARAMS\n",
" - net (LightGraph): graph representing the contact network\n",
" - nbinf (Int32): number of infected at the start of each simulation\n",
" - betas0 (Array{Float64,1}): array of infection rate when not alert on edges\n",
" - betas1 (Array{Float64,1}): array of infection rate when alert on edges\n",
" - alphas (Array{Float64,1}): array of curing rate on vertices\n",
" - kappas (Array{Float64,1}): array of alerting rate on edges\n",
" - t (Int32): number of time step\n",
" - nbsimu (Int32): number of simulations\n",
"\n",
"* RETURNS\n",
" - (Array{Float64,3}): the prediction of the percentage of infected, the percentage of susceptible and the percentage of recovered at each time step and for each disease. The first dimension contains the time steps, the second contains the diseases, and the third the status (Infected: [:,:,1], Recovered: [:,:,2], Susceptible: [:,:,3])\n",
" - (Array{Float64,1}): effective spreading rate for each disease\n",
"\"\"\"\n",
"function Simulation_SAIR(net, nbinf, betas0, betas1, alphas, kappas, t, nbsimu)\n",
" taus = zeros(length(alphas))\n",
" prediction = zeros(t+1, length(taus), 4)\n",
"\n",
" for (i, (beta0, beta1, alpha, kappa)) in enumerate(zip(betas0, betas1, alphas, kappas))\n",
" taus[i] = round(beta0 / alpha, digits = 2)\n",
" for _ in 1:nbsimu\n",
" state = new_state(net, nbinf)\n",
" _, X = SAIR(net, state, beta0, beta1, alpha, kappa, t)\n",
" prediction[:, i, :] += X ./ nbsimu ./ length(state)\n",
" end\n",
" end\n",
"\n",
" return prediction, taus\n",
"end"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"\n",
"Question 18 (written): Run the script below comparing the number of infected of SAIR and SIR and comment what you see.\n",
"\n",
"> TODO"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"data": {
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",
"image/svg+xml": "\n\n",
"text/html": [
"\n",
"\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Script launching prediction on one disease on toulouse_neigh and plotting the percentage\n",
"# of infected at each time step for SIR and SAIR.\n",
"predictions1, _ = Simulation_SAIR(toulouse_neigh, 2, [0.2], [0.1], [0.1], [0.5], 100, 1000)\n",
"predictions2, _ = Simulation_SIR( toulouse_neigh, 2, [0.2], [0.1], 100, 1000)\n",
"\n",
"plot = Plots.plot(\n",
" [predictions1[:, :, 2] predictions2[:, :, 2]],\n",
" label = [\"SAIR\" \"SIR\"],\n",
" xlabel = \"t\",\n",
" ylabel = \"%\"\n",
")\n",
"png(\"img/q18.png\")\n",
"display(plot)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"\n",
"Question 19 (written): Of course the presented SIS, SIR, and SAIR models are limitated in their modelization of the reality. Formulate few of these limitations (at least 2). Propose few algorithm addons/ideas (at least 2) which would make the models more complex and more accurate in regards to the reality.\n",
" \n",
"> TODO"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"\n",
"## Part 3 - Discover patient zero\n",
" \n",
"In the two previous parts you may have realised that understanding and controlling the spread of epidemics on contact networks is an important task. However, information about the origin of the epidemic could be also extremely useful to reduce or prevent future outbreaks. Thus, in this part we will focus on algorithm solutions to answer this issue.\n",
" \n",
"The stochastic nature of infection propagation makes the estimation of the epidemic origin intrinsically hard: indeed, different initial conditions can lead to the same configuration at the observation time. Methods such as the distance centrality or the Jordan center try to approximate it. They both rely on spatial information by stating that the first infected is probably at the center of the cluster of infection. Mathematically:\n",
" \n",
"* The jordan center is expressed as $\\min_{v\\in \\mathcal{I}}\\max_{n\\in \\mathcal{I}}d(v,n)$ where $\\mathcal{I}$ is a connected component of the original contact network containing all infected and recovered vertices, and where $d(\\cdot,\\cdot)$ is the distance (= the shortest path) between 2 vertices (if not weighted graph each edge accounts for 1 unit). \n",
"* The distance centrality is expressed as $\\min_{v\\in \\mathcal{I}}\\sum_{n\\in \\mathcal{I}}d(v,n)(\\delta_{n,I} + \\delta_{n,R}/\\alpha)$, where $\\delta_{n,I}=1$ if the vertex n is infected ($=0$ otherwise), and where $\\delta_{n,R}=1$ if the vertex n is recovered ($=0$ otherwise). You may note that in distance centrality we increase the weight of the recovered vertices by a factor $1/\\alpha$, it translates the fact that recovered vertices tend to be closer to the origin of the epidemic since they probably got ill before.\n",
" \n",
" \n",
"We formulate the problem as follow: given a contact network and a snapshot of epidemic spread at a certain time, determine the infection source. A snapshot is a given `state` array for a contact network.\n",
"\n",
"###### A. Y. Lokhov, M. Mézard, H. Ohta, and L. Zdeborová, _\"Inferring the origin of an epidemic with a dynamic message-passing algorithm\"_, Physical Review (2014)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"