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    "colab": {
      "provenance": []
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      "name": "python3",
      "display_name": "Python 3"
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    "language_info": {
      "name": "python"
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      "cell_type": "markdown",
      "source": [
        "# Lecture 15 - Depth First Search and Topological Sorting\n",
        "\n",
        "In today's lecture we will discuss -\n",
        "\n",
        "1.   DFS and its applications\n",
        "2.   DFS on undirected vs directed graphs\n",
        "3.   Directed Acyclic Graphs - Source and Sink vertices\n",
        "4.   DAG application - Navigating a degree program\n",
        "5.   Topological Sort\n",
        "\n",
        "#Learning Objectives -\n",
        "\n",
        "1. Applying DFS to solve problems - path finding, connected components, cycle finding\n",
        "2. Shortcomings of DFS in solving certain problems\n",
        "3. Identifying DAGs, source and sink vertices\n",
        "4. Working with DAGs to solve graph problems\n",
        "5. Topological Sorting of DAGs\n",
        "\n",
        "**Announcements**\n",
        "\n",
        "1. Lab 6 due tomorrow\n",
        "2. Homework 3 due next Monday\n",
        "3. Early feedback link - https://docs.google.com/forms/d/19L6qPU_KCp46LmQmLyYdTCYLnbIZMhZzcfyDJihnFdg/edit\n",
        "4. Office hours today (5pm-7pm)\n",
        "\n",
        "\n",
        "\n"
      ],
      "metadata": {
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      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Discovery clicker\n",
        "\n",
        "Scan and use join code 277\n",
        "\n",
        "OR Visit clicker.cs.illinois.edu and use join code 277\n",
        "\n",
        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)"
      ],
      "metadata": {
        "id": "LktxlwG4nuPs"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Depth First Search\n",
        "\n",
        "Given a graph $G$, one search strategy is to explore the graph in a depth first manner - going along a path as deep as possible before exploring other paths.\n",
        "\n",
        "This search algorithm is called Depth First Search."
      ],
      "metadata": {
        "id": "o8yxCSYAWD1z"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Depth First Search\n",
        "\n",
        "Main idea -\n",
        "\n",
        "* Start from a vertex of your choice and explore the graph in a depth oriented manner. That is, go as deep as you can along a path until you cannot go any further.\n",
        "\n",
        "* Then, track back and explore a different path until you cannot go further.  \n",
        "* Repeat this process until the entire graph is explored."
      ],
      "metadata": {
        "id": "rgj-AY64IscY"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "\n",
        "DFS visualization resource -\n",
        "https://www.cs.usfca.edu/~galles/visualization/DFS.html\n",
        "\n",
        "https://visualgo.net/en/dfsbfs\n",
        "\n",
        "IMPORTANT note - The first implementation is not the complete running of DFS. Our DFS algorithm (refer DPV text) will ALWAYS explore all vertices and edges of a graph."
      ],
      "metadata": {
        "id": "u46yGgq4Vf8O"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Exploring graph in a depth first manner\n",
        "\n",
        "# Input - Graph G, \"start vertex\" s\n",
        "\n",
        "# Output - A visited list of all vertices, A list of all parent vertices\n",
        "\n",
        "# Strategy - start from s, explore paths to their deep ends before tracking back and exploring other paths\n",
        "             #Reset - If there are unexplored vertices, explore them."
      ],
      "metadata": {
        "id": "rHy1Rpf0WZPW"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# DFS code for adjacency lists\n",
        "\n",
        "#defining graph G\n",
        "\n",
        "#G = [[2,4,7],[3,5,6,7],[0],[1,5],[0,6],[1,3,7],[1,4],[0,1,5]]\n",
        "G = [[1,2],[0,2],[0,1,3],[2]]\n",
        "visited = [False]*len(G)\n",
        "parent = [None]*len(G)\n",
        "\n",
        "#code for dfs on graph G\n",
        "\n",
        "def dfs(G):\n",
        "\n",
        "#initializing the visited list to false for all vertices\n",
        "  for i in range(len(G)):\n",
        "    visited[i] = False\n",
        "\n",
        "#exploring vertices if they are not already visited (Reset)\n",
        "  for v in range(len(G)):\n",
        "    if(visited[v] == False):\n",
        "      explore(G,v)\n",
        "\n",
        "  print(parent)\n",
        "  print(visited)\n",
        "  return\n",
        "\n",
        "#explore function that explores G starting from vertex v\n",
        "\n",
        "def explore(G,v):\n",
        "  #setting visited value for v to be true in order to prevent processing explore(G,v) again\n",
        "  visited[v]=True\n",
        "\n",
        "  #for each edge (v,u) in G, calling explore(G,u) if u is not already visited\n",
        "  for u in G[v]:\n",
        "  #setting parent of u to be v since explore(G,u) was called by explore(G,v) and recursive call to explore G through vertex u\n",
        "    if(visited[u]==False):\n",
        "      parent[u] = v\n",
        "      explore(G,u)\n",
        "  return\n",
        "\n",
        "dfs(G)"
      ],
      "metadata": {
        "id": "aqOD928EOSNw",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "492154fb-79e2-481f-d8f2-b49f4f6411ab"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[None, 0, 1, 2]\n",
            "[True, True, True, True]\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "#Simulation of DFS on an undirected graph\n",
        "\n",
        "![Screenshot 2026-02-25 at 1.39.23 PM.png](data:image/png;base64,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)\n",
        "\n",
        "The adjacency list representation for this graph is -\n",
        "\n",
        "*   a : [b,s]\n",
        "*   b : [a,s,t]\n",
        "*   s : [a,b]\n",
        "*  t : [b]\n",
        "\n",
        "\n",
        "\n",
        "DFS expected behavior -\n",
        "\n",
        " * Let's start from vertex $s$. Since the first edge in the adjacency list of $s$ is $(s,a)$, we will pick this edge to explore a path.\n",
        " * Now, we are at vertex $a$. Since the first edge of $a$ is $(a,b)$, we will pick this edge to further our exploration path.\n",
        " * Now, we are at vertex $b$. The first edge of $b$ is $(b,a)$. Should we go to $a$ next? ... not quite, since we have already visited $a$. Let's try the next edge of $b$ - $(b,s)$. Should we go to $s$ next? ... again, we have already visited $s$. So, let's try another edge - $(b,t)$ is next. Since $t$ is not yet visited, we will pick this edge to further our exploration.\n",
        " * Now, we are at vertex $t$. The first edge of $t$ is $(t,b)$. Since $b$ is already visited, we will pick another edge. But there are no more edges! So, we cannot explore this path ($s-a-b-t$) any further. Let's track back to explore a different path!\n",
        "\n",
        " * We go back to $b$ since that is what led us to $t$. Note that we have already looked at all edges of $b$ - $(b,a)$ , $(b,s)$, $(b,t)$. So, we cannot explore any further paths from $b$. Let's track back!\n",
        "\n",
        " * We go back to $a$ since that is what led us to $a$. We have already looked at edge $(a,b)$, so now let's try the next edge - $(a,s)$. Hold on... $s$ is already visited. So, we will try a different edge of $a$ to explore ... of which there are none! So, we cannot explore any further paths from $a$. Let's track back!\n",
        "\n",
        " * We go back to $s$ since that is what led us to $a$. The next edge of $s$ is $(s,b)$. But, $b$ has already been visited! No luck. Since $s$ has no more edges left to explore, we cannot explore any further from $s$. Let's track back ...\n",
        "\n",
        " * That's it - we have reached the end of our exploration of $G$ as there are no more edges left to be processed.\n",
        "\n"
      ],
      "metadata": {
        "id": "g7RzfqLJJrn0"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# DFS code unpacking\n",
        "\n",
        "At the end of dfs(G) - we have -\n",
        "\n",
        "*   visited[i] = True for i = 0,1,2,3\n",
        "*   parent[0] = None, parent[1] = 0, parent[2] = 1, parent[3] = 2\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "---\n",
        "\n",
        "\n",
        "Observations\n",
        "\n",
        "*   visited - helps us keep track of vertices that are already visited that prevents indefinite looping!\n",
        "*   parent - keeps track of the parent of each vertex which can help trace out our desired $s-t$ path.\n",
        "* explore - is the function that starts at vertex $v$ and explores the graph from $v$ (it avoids visiting already visited vertices)\n",
        "\n",
        "* explore is a **recursive function**\n",
        "\n",
        "\n",
        "* Every edge of $G$ is processed exactly twice (undirected graphs) and once (directed graphs).\n",
        "\n",
        " For example, the edge $(s,a)$ is processed (and pursued) in explore$(s)$ in the first step and then the edge $(a,s)$ is processed (and ignored) in explore$(a)$ towards the end.\n",
        "\n",
        " * At any point in time, the recursive seqeunce of calls represents a path in the original graph $G$.\n",
        "\n",
        "\n",
        "\n"
      ],
      "metadata": {
        "id": "EouMP_ZnSZNB"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Analysis of running time and space\n",
        "\n",
        "**Running time**\n",
        "\n",
        "1. Setting up the visited and parent lists takes $O(n)$ time and $O(n)$ space.\n",
        "\n",
        "2. Work done outside the explore calls is at most $O(n)$ - including time to check for visited status in the for loop within dfs.\n",
        "\n",
        "3. Time taken by explore varies from one vertex to another. It is not clear how to establish specific bounds for this recursive function.\n",
        "\n",
        "4. Observation - Since each edge is processed at most twice, we can conclude that the total work done across ALL explore calls is $O(m)$ - where $m$ is the number of edges in $G$.\n",
        "\n",
        "---\n",
        "\n",
        "> Overall, this leads to a running time of $O(n + m)$ - which is considered LINEAR in the size of the graph $G = (V,E)$.\n",
        "\n",
        "> Space complexity : $O(n)$ since visited and parent lists are of size $n$ each."
      ],
      "metadata": {
        "id": "hT8TYMNNUWBs"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# DFS code for adjacency lists - runtime breakdown\n",
        "\n",
        "\n",
        "visited = [False]*len(G)    # O(n) time, O(n) space\n",
        "parent = [None]*len(G)      # O(n) time, O(n) space\n",
        "\n",
        "\n",
        "def dfs(G):\n",
        "\n",
        "#exploring vertices if they are not already visited (Reset)\n",
        "  for v in range(len(G)):      #O(n) iterations\n",
        "    if(visited[v] == False):   #O(1) per iteration\n",
        "      explore(G,v)             #VARIABLE time - need to account for this\n",
        "  return\n",
        "\n",
        "#explore function that explores G starting from vertex v\n",
        "\n",
        "def explore(G,v):\n",
        "  #setting visited value for v to be true in order to prevent processing explore(G,v) again\n",
        "  visited[v]=True\n",
        "\n",
        "  #for each edge (v,u) in G, calling explore(G,u) if u is not already visited\n",
        "  for u in G[v]:\n",
        "  #setting parent of u to be v since explore(G,u) was called by explore(G,v) and recursive call to explore G through vertex u\n",
        "    if(visited[u]==False):\n",
        "      parent[u] = v\n",
        "      explore(G,u)\n",
        "  return\n",
        "\n",
        "dfs(G)"
      ],
      "metadata": {
        "id": "K8jlLVIPUkvq"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Applications of DFS\n",
        "\n",
        "\n",
        "1. $s-t$ connectivity\n",
        "\n",
        "2. Finding a path from $s$ to $t$\n",
        "\n",
        "3. Computing number of connected components in $G$\n",
        "\n",
        "3. Checking if $G$ has a cycle (Hw 3)\n",
        "\n",
        "\n"
      ],
      "metadata": {
        "id": "9qJ_k2iWduCH"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Establishing $s$-$t$ connectivity in $G$\n",
        "\n",
        "Input : Graph $G = (V,E)$ given in the adjacency list format, vertices $s,t$\n",
        "\n",
        "Output : True if there is some path from $s$ to $t$ in $G$, False otherwise\n",
        "\n"
      ],
      "metadata": {
        "id": "Jsh80dbxj8rM"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# s-t Connectivity test\n",
        "\n",
        "# Idea - start an explore call from s - if at the end visited[t] is true return true (else false)\n",
        "\n",
        "\n",
        "# code -\n",
        "def connectivity(G,s,t):\n",
        "  visited = [False]*len(G)\n",
        "  parent = [None]*len(G)\n",
        "  explore(G,s)\n",
        "  if(visited[t] == True):\n",
        "    return True\n",
        "\n",
        "  else:\n",
        "    return False\n",
        "\n",
        "\n",
        "def explore(G,v):\n",
        "  #setting visited value for v to be true in order to prevent processing explore(G,v) again\n",
        "  visited[v]=True\n",
        "\n",
        "  #for each edge (v,u) in G, calling explore(G,u) if u is not already visited\n",
        "  for u in G[v]:\n",
        "  #setting parent of u to be v since explore(G,u) was called by explore(G,v) and recursive call to explore G through vertex u\n",
        "    if(visited[u]==False):\n",
        "      parent[u] = v\n",
        "      explore(G,u)\n",
        "  return\n"
      ],
      "metadata": {
        "id": "mDTnstC4jkyB"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Finding an $s$-$t$ path in $G$\n",
        "\n",
        "Input : Graph $G = (V,E)$ given in the adjacency list format, vertices $s,t$\n",
        "\n",
        "Output : list containing the path from $s$ to $t$ if there is some path from $s$ to $t$ in $G$, empty list otherwise.\n",
        "\n"
      ],
      "metadata": {
        "id": "xJbIm3tTk1K9"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# s-t Path finding\n",
        "\n",
        "# Idea - Run explore from vertex s. If visited[t] is True, then there is some s-t path.\n",
        "#        How to trace the path? Trace it backwards - nothing quite like hindsight.\n",
        "#        Use parent of t to find penultimate vertex on that s-t path,\n",
        "#        then keep repeating this until the parent of some vertex is s. Store all the parent vertices along the path to a list and then return the s-t path.\n",
        "#        You will need to reverse this list to find the s-t path.\n",
        "\n",
        "# code -\n",
        "\n",
        "\n",
        "def path(G,s,t):\n",
        "  visited = [False]*len(G)\n",
        "  parent = [None]*len(G)\n",
        "  explore(G,s)\n",
        "  path = []\n",
        "  if(visited[t] == False):\n",
        "    return path\n",
        "\n",
        "  else:\n",
        "    v = t\n",
        "    while(parent[v] != s):\n",
        "      path.append(v)\n",
        "      v = parent[v]\n",
        "\n",
        "    path.append(s)\n",
        "    path.reverse()     # reverses the list path to reveal s-t path starting from s\n",
        "    return path\n",
        "\n",
        "def explore(G,v):\n",
        "  #setting visited value for v to be true in order to prevent processing explore(G,v) again\n",
        "  visited[v]=True\n",
        "\n",
        "  #for each edge (v,u) in G, calling explore(G,u) if u is not already visited\n",
        "  for u in G[v]:\n",
        "  #setting parent of u to be v since explore(G,u) was called by explore(G,v) and recursive call to explore G through vertex u\n",
        "    if(visited[u]==False):\n",
        "      parent[u] = v\n",
        "      explore(G,u)\n",
        "  return\n",
        "\n",
        "G1 = [[1,2],[0,2],[0,1,3],[2]]\n",
        "print(path(G1,0,3))\n",
        "\n",
        "G2 = [[1,2],[0,2],[0,1],[]]\n",
        "print(path(G2,0,3))\n"
      ],
      "metadata": {
        "id": "-SspynQElByD",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 365
        },
        "outputId": "27eb0748-342e-40f6-d172-131d01eb5925"
      },
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "error",
          "ename": "NameError",
          "evalue": "name 'visited' is not defined",
          "traceback": [
            "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
            "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
            "\u001b[0;32m/tmp/ipykernel_1081/878129990.py\u001b[0m in \u001b[0;36m<cell line: 0>\u001b[0;34m()\u001b[0m\n\u001b[1;32m     41\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     42\u001b[0m \u001b[0mG1\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m3\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 43\u001b[0;31m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mpath\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mG1\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m3\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     44\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     45\u001b[0m \u001b[0mG2\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
            "\u001b[0;32m/tmp/ipykernel_1081/878129990.py\u001b[0m in \u001b[0;36mpath\u001b[0;34m(G, s, t)\u001b[0m\n\u001b[1;32m     13\u001b[0m   \u001b[0mvisited\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0;32mFalse\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mG\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     14\u001b[0m   \u001b[0mparent\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mG\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 15\u001b[0;31m   \u001b[0mexplore\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mG\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0ms\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     16\u001b[0m   \u001b[0mpath\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     17\u001b[0m   \u001b[0;32mif\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mvisited\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mt\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;32mFalse\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
            "\u001b[0;32m/tmp/ipykernel_1081/878129990.py\u001b[0m in \u001b[0;36mexplore\u001b[0;34m(G, v)\u001b[0m\n\u001b[1;32m     30\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mexplore\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mG\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mv\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     31\u001b[0m   \u001b[0;31m#setting visited value for v to be true in order to prevent processing explore(G,v) again\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 32\u001b[0;31m   \u001b[0mvisited\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mv\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     33\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     34\u001b[0m   \u001b[0;31m#for each edge (v,u) in G, calling explore(G,u) if u is not already visited\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
            "\u001b[0;31mNameError\u001b[0m: name 'visited' is not defined"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# DFS code that passes parent and visited lists as arguments to explore for cleaner code\n",
        "\n",
        "def dfs(G):\n",
        "\n",
        "  visited = [False]*len(G)    # O(n) time, O(n) space\n",
        "  parent = [None]*len(G)      # O(n) time, O(n) space\n",
        "\n",
        "#exploring vertices if they are not already visited (Reset)\n",
        "  for v in range(len(G)):      #O(n) iterations\n",
        "    if(visited[v] == False):   #O(1) per iteration\n",
        "      explore(G,v,parent,visited)             #VARIABLE time - need to account for this\n",
        "\n",
        "\n",
        "  print(parent)\n",
        "  print(visited)\n",
        "  return\n",
        "\n",
        "\n",
        "\n",
        "#explore function that explores G starting from vertex v\n",
        "\n",
        "def explore(G,v,parent,visited):\n",
        "  #setting visited value for v to be true in order to prevent processing explore(G,v) again\n",
        "  visited[v]=True\n",
        "\n",
        "  #for each edge (v,u) in G, calling explore(G,u) if u is not already visited\n",
        "  for u in G[v]:\n",
        "  #setting parent of u to be v since explore(G,u) was called by explore(G,v) and recursive call to explore G through vertex u\n",
        "    if(visited[u]==False):\n",
        "      parent[u] = v\n",
        "      explore(G,u,parent,visited)\n",
        "  return\n",
        "\n",
        "G = [[1,2],[0,2],[0,1,3],[2]]\n",
        "dfs(G)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "2CyBSci-7zUg",
        "outputId": "5fce5b47-a532-4b3e-eeca-8e831a31dacd"
      },
      "execution_count": 12,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[None, 0, 1, 2]\n",
            "[True, True, True, True]\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Number of connected components\n",
        "\n",
        "**Connected component**\n",
        "\n",
        "For an undirected graph $G$, a connected component is a set of vertices that are all connected to each other.\n",
        "\n",
        "![Screenshot 2026-02-25 at 12.36.31 PM.png](data:image/png;base64,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)\n",
        "\n",
        "\n",
        " The graph above has 1 connected component - $\\{s,a,b,t\\}$ since all vertices are connected to each other.\n",
        "\n",
        "\n",
        " ![Screenshot 2026-02-25 at 12.36.41 PM.png](data:image/png;base64,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)\n",
        "\n",
        " This graph has 2 connected components - $\\{s,a,b\\}$ and $\\{t\\}$ since all vertices $s,a,b$ are connected to each other while vertex $t$ is not connected to either of them and is in a connected component alone.\n",
        "\n",
        "\n",
        "How can we modify the code of $dfs$ to count the number of connected components in $G$?\n",
        "\n",
        "Try to think of how $dfs$ behaves on graphs with 1 connected component vs graphs with multiple connected components.\n"
      ],
      "metadata": {
        "id": "OQMrogVwkrFj"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Computing number of connected components in Undirected graphs\n",
        "\n",
        "Input - Graph $G = (V,E)$ in adjacency list format\n",
        "\n",
        "Output - number of connected components of $G$"
      ],
      "metadata": {
        "id": "Z9i8Ak0LlNfS"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "#Computing number of connected components in undirected graphs\n",
        "\n",
        "#Idea - Explore(v) explores all vertices reachable from v. That constitutes one connected component of G.\n",
        "#       How do we find if there are others? Use the Reset part of DFS to do so.\n",
        "#       Every time a new explore is called from the Reset for loop, it indicates the start of a new connected component of G.\n",
        "#       Keep track of this count and return it after DFS is complete.\n",
        "\n",
        "#Code -\n",
        "\n",
        "def connected_components(G):\n",
        "\n",
        "  ans = dfs(G)\n",
        "  return ans\n",
        "\n",
        "# DFS code that passes parent and visited lists as arguments to explore for cleaner code\n",
        "\n",
        "def dfs(G):\n",
        "\n",
        "  visited = [False]*len(G)\n",
        "  parent = [None]*len(G)\n",
        "  count = 0                   #counts number of connected components\n",
        "\n",
        "#exploring vertices if they are not already visited (Reset)\n",
        "  for v in range(len(G)):\n",
        "    if(visited[v] == False):\n",
        "      count += 1\n",
        "      explore(G,v,parent,visited)\n",
        "\n",
        "\n",
        "  #print(parent)\n",
        "  #print(visited)\n",
        "  return count\n",
        "\n",
        "\n",
        "\n",
        "#explore function that explores G starting from vertex v\n",
        "\n",
        "def explore(G,v,parent,visited):\n",
        "  #setting visited value for v to be true in order to prevent processing explore(G,v) again\n",
        "  visited[v]=True\n",
        "\n",
        "  #for each edge (v,u) in G, calling explore(G,u) if u is not already visited\n",
        "  for u in G[v]:\n",
        "  #setting parent of u to be v since explore(G,u) was called by explore(G,v) and recursive call to explore G through vertex u\n",
        "    if(visited[u]==False):\n",
        "      parent[u] = v\n",
        "      explore(G,u,parent,visited)\n",
        "  return\n",
        "\n",
        "G1 = [[1,2],[0,2],[0,1,3],[2]]\n",
        "G2 = [[1,2],[0,2],[0,1],[]]\n",
        "\n",
        "print(connected_components(G1))\n",
        "print(connected_components(G2))\n",
        "\n"
      ],
      "metadata": {
        "id": "12xgmS2XlbBs",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "d5cb1fc4-b152-42b5-8dee-2ce2c81acb8c"
      },
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "1\n",
            "2\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Cycle testing (undirected graphs)\n",
        "\n",
        "Input - Undirected Graph $G = (V,E)$ in adjacency list format\n",
        "\n",
        "Output - True if $G$ contains a cycle, False otherwise"
      ],
      "metadata": {
        "id": "S4SW0fC5luwa"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "#Cycle testing\n",
        "\n",
        "#Idea - Can DFS help us identify the existence of a cycle? Yes.\n",
        "\n",
        "#  Since it explores all edges of the graph, it also explores all edges along a cycle. However, it may not explore them in order.\n",
        "#.  But all we need here is to check for existence. We can determine that as follows - say an edge (u,v) is not pursued during DFS.\n",
        "# Why not? Because v was already visited. Does that imply there is a cycle in G?\n",
        "# Not yet. We also need to check that the parent[u] is a vertex other than v!\n",
        "# This implies existence of a cycle in G. (For graphs with no cycles, every edge is pursued since it leads to an undiscovered vertex)\n",
        "\n",
        "def cycle(G):\n",
        "\n",
        "  cyc = dfs(G)\n",
        "  return cyc\n",
        "\n",
        "\n",
        "# DFS code that passes parent and visited lists as arguments to explore for cleaner code\n",
        "\n",
        "def dfs(G):\n",
        "\n",
        "\n",
        "  visited = [False]*len(G)    # O(n) time, O(n) space\n",
        "  parent = [None]*len(G)      # O(n) time, O(n) space\n",
        "\n",
        "#exploring vertices if they are not already visited (Reset)\n",
        "  for v in range(len(G)):      #O(n) iterations\n",
        "    if(visited[v] == False):   #O(1) per iteration\n",
        "      explore(G,v,parent,visited,is_cycle)             #VARIABLE time - need to account for this\n",
        "\n",
        "\n",
        "  #print(parent)\n",
        "  #print(visited)\n",
        "  return is_cycle\n",
        "\n",
        "\n",
        "\n",
        "#explore function that explores G starting from vertex v\n",
        "\n",
        "def explore(G,v,parent,visited,is_cycle):\n",
        "  #setting visited value for v to be true in order to prevent processing explore(G,v) again\n",
        "  visited[v]=True\n",
        "\n",
        "  #for each edge (v,u) in G, calling explore(G,u) if u is not already visited\n",
        "  for u in G[v]:\n",
        "  #setting parent of u to be v since explore(G,u) was called by explore(G,v) and recursive call to explore G through vertex u\n",
        "    if(visited[u]==False):\n",
        "      parent[u] = v\n",
        "      explore(G,u,parent,visited,is_cycle)\n",
        "    elif(visited[u] == True and parent[u]!=v):\n",
        "      is_cycle = True\n",
        "      print(is_cycle)\n",
        "  return\n",
        "\n",
        "G1 = [[1,2],[0,2],[0,1,3],[2]]\n",
        "G2 = [[1],[0,2],[1,3],[2]]\n",
        "\n",
        "print(cycle(G1))\n",
        "print(cycle(G2))\n",
        "\n",
        "\n",
        "\n"
      ],
      "metadata": {
        "id": "_M61PTo7pd8N",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "9d1bc836-f46b-4b0d-8315-92ed954712e4"
      },
      "execution_count": 22,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "True\n",
            "True\n",
            "True\n",
            "True\n",
            "True\n",
            "False\n",
            "True\n",
            "True\n",
            "True\n",
            "False\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Directed Acyclic graphs\n",
        "\n",
        "DAGs are dircted graphs that do not contain any cycles.\n",
        "\n",
        "* Source - A vertex that has no incoming edges is called a source vertex.\n",
        "\n",
        "* Sink - A vertex that has no outgoing edges is called a sink vertex.\n",
        "\n",
        "Every DAG necessarily has a source vertex and a sink vertex. Can you think why this has to be true?\n",
        "\n",
        "![Screenshot 2026-03-03 at 11.18.38 PM.png](data:image/png;base64,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)\n",
        "\n",
        "This directed acyclic graph has one source vertex 0 and two sink vertices - 1 and 4."
      ],
      "metadata": {
        "id": "3P-huQQuktQh"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Finding source and sink vertex/vertices\n",
        "\n",
        "* Given a DAG in the adjacency list format, design an algorithm that prints all the source and sink vertices in the graph.\n",
        "\n",
        "* What is the time complexity of the algorithm?"
      ],
      "metadata": {
        "id": "HUDm0DRKl_8L"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# DAG - modeling dependencies\n",
        "\n",
        "A typical application of DAGs is to model dependencies between entities.\n",
        "\n",
        "For the course prequisite graph, the vertices represent courses and a directed edge from $u$ to $v$ indicates that course $u$ is a prerequisite for course $v$.\n",
        "\n",
        "![Screenshot 2026-03-04 at 2.52.32 PM.png](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABG4AAAMGCAYAAACjzcLTAAAMS2lDQ1BJQ0MgUHJvZmlsZQAASImVVwdYU8kWnltSIQQIhCIl9CaISAkgJYQWQHoRRCUkAUKJMSGo2NFlV3DtIoIVXQVRdHUFRGzYlUWx98WCirIuFuzKmxBAl33le+f75t7//nPmn3POnVsGAHoHXyrNRTUByJPky2JDAljjk1NYpGcAAXqADgyAA18gl3KioyMAtMHz3+3tNegN7bKjUuuf/f/VtIQiuQAAJBridKFckAfxbwDgzQKpLB8AohTyFtPypUq8CmIdGQwQ4molzlThZiVOV+GL/T7xsVyIHwFAVufzZZkAaPRAnlUgyIQ6dJgtcJYIxRKI/SH2zcubIoR4HsS20AfOSVfqs9O/08n8m2b6kCafnzmEVbn0GzlQLJfm8mf8n+X435aXqxicwwY29SxZaKwyZ1i3RzlTwpVYHeL3kvTIKIi1AUBxsbDfX4mZWYrQBJU/aiuQc2HNABPisfLcON4AHyvkB4ZDbARxhiQ3MmLApyhDHKz0gfVDy8X5vHiI9SGuFsmD4gZ8jsqmxA7Oey1DxuUM8E/5sv4YlPpfFTkJHJU+pp0l4g3oY06FWfFJEFMhDiwQJ0ZCrAFxpDwnLnzAJ7Uwixs56CNTxCpzsYRYJpKEBKj0sbIMWXDsgP+OPPlg7tjRLDEvcgBfys+KD1XVCnsk4PfHD3PBekQSTsKgjkg+PmIwF6EoMEiVO04WSRLiVDyuL80PiFWNxe2ludED/niAKDdEyZtDHC8viBscW5APF6dKHy+W5kfHq+LEK7L5YdGqePA9IAJwQSBgAQVs6WAKyAbitu6Gbnil6gkGfCADmUAEHAeYwRFJ/T0SeIwDheBPiERAPjQuoL9XBAog/2UYq+TEQ5zq6AgyBvqUKjngMcR5IBzkwmtFv5JkKIJE8Agy4n9ExIdNAHPIhU3Z/+/5QfYbw4FMxACjGJyRRR/0JAYRA4mhxGCiHW6I++LeeAQ8+sPmgrNxz8E8vvkTHhPaCQ8IVwkdhJuTxUWyYVGOAx1QP3igPunf1we3hppueADuA9WhMs7EDYEj7grn4eB+cGY3yHIH4lZWhTVM+28ZfHeHBvwozhSUokfxp9gOH6lhr+E2pKKs9ff1UcWaPlRv7lDP8Pm531VfCM/hwz2xn7B92GnsGHYWa8YaAAs7gjVirdghJR5acY/6V9zgbLH98eRAneFr5tudVVZS7lzr3OX8WdWXL5qer3wYuVOkM2TizKx8Fgd+MUQsnkTgNJLl4uziDoDy+6N6vb2O6f+uIMzWb9yCPwDwOdLX13fwGxd2BIBfPeAr4cA3zpYNPy1qAJw5IFDIClQcrjwQ4JuDDp8+A2ACLIAtzMcFuANv4A+CQBiIAvEgGUyC0WfBdS4D08AsMB8Ug1KwDKwGFWAj2AKqwS6wFzSAZnAMnALnwUVwFdyGq6cTPAc94C34hCAICaEhDMQAMUWsEAfEBWEjvkgQEoHEIslIGpKJSBAFMgtZgJQiK5AKZDNSg/yKHECOIWeRduQmch/pQl4hH1EMVUd1UGPUGh2FslEOGo7GoxPRTHQqWoguRJeg5WgVuhOtR4+h59GraAf6HO3FAKaGMTEzzBFjY1wsCkvBMjAZNgcrwcqwKqwOa4L3+TLWgXVjH3AizsBZuCNcwaF4Ai7Ap+Jz8MV4BV6N1+Mn8Mv4fbwH/0qgEYwIDgQvAo8wnpBJmEYoJpQRthH2E07CZ6mT8JZIJDKJNkQP+CwmE7OJM4mLieuJu4lHie3Eh8ReEolkQHIg+ZCiSHxSPqmYtJa0k3SEdInUSXpPViObkl3IweQUsoRcRC4j7yAfJl8iPyF/omhSrChelCiKkDKDspSyldJEuUDppHyialFtqD7UeGo2dT61nFpHPUm9Q32tpqZmruapFqMmVpunVq62R+2M2n21D+ra6vbqXPVUdYX6EvXt6kfVb6q/ptFo1jR/Wgotn7aEVkM7TrtHe6/B0HDS4GkINeZqVGrUa1zSeEGn0K3oHPokeiG9jL6PfoHerUnRtNbkavI152hWah7QvK7Zq8XQGq0VpZWntVhrh9ZZrafaJG1r7SBtofZC7S3ax7UfMjCGBYPLEDAWMLYyTjI6dYg6Njo8nWydUp1dOm06Pbrauq66ibrTdSt1D+l2MDGmNZPHzGUuZe5lXmN+1DPW4+iJ9Bbp1eld0nunP0LfX1+kX6K/W/+q/kcDlkGQQY7BcoMGg7uGuKG9YYzhNMMNhicNu0fojPAeIRhRMmLviFtGqJG9UazRTKMtRq1GvcYmxiHGUuO1xseNu02YJv4m2SarTA6bdJkyTH1NxaarTI+YPmPpsjisXFY56wSrx8zILNRMYbbZrM3sk7mNeYJ5kflu87sWVAu2RYbFKosWix5LU8txlrMsay1vWVGs2FZZVmusTlu9s7axTrL+0brB+qmNvg3PptCm1uaOLc3Wz3aqbZXtFTuiHdsux2693UV71N7NPsu+0v6CA+rg7iB2WO/QPpIw0nOkZGTVyOuO6o4cxwLHWsf7TkynCKcipwanF6MsR6WMWj7q9Kivzm7Ouc5bnW+P1h4dNrpodNPoVy72LgKXSpcrY2hjgsfMHdM45qWrg6vIdYPrDTeG2zi3H91a3L64e7jL3OvcuzwsPdI81nlcZ+uwo9mL2Wc8CZ4BnnM9mz0/eLl75Xvt9frL29E7x3uH99OxNmNFY7eOfehj7sP32ezT4cvyTfPd5NvhZ+bH96vye+Bv4S/03+b/hGPHyebs5LwIcA6QBewPeMf14s7mHg3EAkMCSwLbgrSDEoIqgu4FmwdnBtcG94S4hcwMORpKCA0PXR56nWfME/BqeD1hHmGzw06Eq4fHhVeEP4iwj5BFNI1Dx4WNWznuTqRVpCSyIQpE8aJWRt2NtomeGn0whhgTHVMZ8zh2dOys2NNxjLjJcTvi3sYHxC+Nv51gm6BIaEmkJ6Ym1iS+SwpMWpHUMX7U+NnjzycbJouTG1NIKYkp21J6JwRNWD2hM9UttTj12kSbidMnnp1kOCl30qHJ9Mn8yfvSCGlJaTvSPvOj+FX83nRe+rr0HgFXsEbwXOgvXCXsEvmIVoieZPhkrMh4mumTuTKzK8svqyyrW8wVV4hfZodmb8x+lxOVsz2nLzcpd3ceOS8t74BEW5IjOTHFZMr0Ke1SB2mxtGOq19TVU3tk4bJtckQ+Ud6YrwN/9FsVtoofFPcLfAsqC95PS5y2b7rWdMn01hn2MxbNeFIYXPjLTHymYGbLLLNZ82fdn82ZvXkOMid9Tstci7kL53bOC5lXPZ86P2f+70XORSuK3ixIWtC00HjhvIUPfwj5obZYo1hWfP1H7x83/oT/JP6pbdGYRWsXfS0RlpwrdS4tK/28WLD43M+jfy7/uW9JxpK2pe5LNywjLpMsu7bcb3n1Cq0VhSserhy3sn4Va1XJqjerJ68+W+ZatnENdY1iTUd5RHnjWsu1y9Z+rsiquFoZULl7ndG6ReverReuv7TBf0PdRuONpRs/bhJvurE5ZHN9lXVV2RbiloItj7cmbj39C/uXmm2G20q3fdku2d5RHVt9osajpmaH0Y6ltWitorZrZ+rOi7sCdzXWOdZt3s3cXboH7FHsefZr2q/X9obvbdnH3lf3m9Vv6/Yz9pfUI/Uz6nsasho6GpMb2w+EHWhp8m7af9Dp4PZms+bKQ7qHlh6mHl54uO9I4ZHeo9Kj3ccyjz1smdxy+/j441dOxJxoOxl+8syp4FPHT3NOHznjc6b5rNfZA+fY5xrOu5+vb3Vr3f+72+/729zb6i94XGi86HmxqX1s++FLfpeOXQ68fOoK78r5q5FX268lXLtxPfV6xw3hjac3c2++vFVw69PteXcId0ruat4tu2d0r+oPuz92d7h3HLofeL/1QdyD2w8FD58/kj/63LnwMe1x2RPTJzVPXZ42dwV3XXw24Vnnc+nzT93Ff2r9ue6F7Yvf/vL/q7VnfE/nS9nLvleLXxu83v7G9U1Lb3Tvvbd5bz+9K3lv8L76A/vD6Y9JH598mvaZ9Ln8i92Xpq/hX+/05fX1Sfkyfv+vAAaUW5sMAF5tB4CWDAAD7hupE1T7w35DVHvafgT+E1btIfsN/rnUwX/6mG74d3MdgD1bAbCG+vRUAKJpAMR7AnTMmKE2uJfr33cqjQj3BpvivqTnpYN/Y6o96XdxDz8DpaorGH7+F1pqgySvLNmnAAAABGNJQ1AMDQABbgPj7wAAAIplWElmTU0AKgAAAAgABAEaAAUAAAABAAAAPgEbAAUAAAABAAAARgEoAAMAAAABAAIAAIdpAAQAAAABAAAATgAAAAAAAACQAAAAAQAAAJAAAAABAAOShgAHAAAAEgAAAHigAgAEAAAAAQAABG6gAwAEAAAAAQAAAwYAAAAAQVNDSUkAAABTY3JlZW5zaG90LRQf+gAAAAlwSFlzAAAWJQAAFiUBSVIk8AAAAddpVFh0WE1MOmNvbS5hZG9iZS54bXAAAAAAADx4OnhtcG1ldGEgeG1sbnM6eD0iYWRvYmU6bnM6bWV0YS8iIHg6eG1wdGs9IlhNUCBDb3JlIDYuMC4wIj4KICAgPHJkZjpSREYgeG1sbnM6cmRmPSJodHRwOi8vd3d3LnczLm9yZy8xOTk5LzAyLzIyLXJkZi1zeW50YXgtbnMjIj4KICAgICAgPHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9IiIKICAgICAgICAgICAgeG1sbnM6ZXhpZj0iaHR0cDovL25zLmFkb2JlLmNvbS9leGlmLzEuMC8iPgogICAgICAgICA8ZXhpZjpQaXhlbFlEaW1lbnNpb24+Nzc0PC9leGlmOlBpeGVsWURpbWVuc2lvbj4KICAgICAgICAgPGV4aWY6UGl4ZWxYRGltZW5zaW9uPjExMzQ8L2V4aWY6UGl4ZWxYRGltZW5zaW9uPgogICAgICAgICA8ZXhpZjpVc2VyQ29tbWVudD5TY3JlZW5zaG90PC9leGlmOlVzZXJDb21tZW50PgogICAgICA8L3JkZjpEZXNjcmlwdGlvbj4KICAgPC9yZGY6UkRGPgo8L3g6eG1wbWV0YT4KtWJuAgAAABxpRE9UAAAAAgAAAAAAAAGDAAAAKAAAAYMAAAGDAACvKzVqhq0AAEAASURBVHgB7N0JvMzV//jxt12Wsu+0IkL2nbTJki1SskSyhQoR+SqVRIvKnlREliJk30MlJFkqRFEhQiLJOv/P+/x/M939zsydmfuZz+d1Ho/7vTOf5XzOeZ75Xrf3Ped90nisIhQEEEAAAQQQQAABBBBAAAEEEEAAAdsJpCFwY7sxoUEIIIAAAggggAACCCCAAAIIIICAESBwwwcBAQQQQAABBBBAAAEEEEAAAQQQsKkAgRubDgzNQgABBBBAAAEEEEAAAQQQQAABBAjc8BlAAAEEEEAAAQQQQAABBBBAAAEEbCpA4MamA0OzEEAAAQQQQAABBBBAAAEEEEAAAQI3fAYQQAABBBBAAAEEEEAAAQQQQAABmwoQuLHpwNAsBBBAAAEEEEAAAQQQQAABBBBAgMANnwEEEEAAAQQQQAABBBBAAAEEEEDApgIEbmw6MDQLAQQQQAABBBBAAAEEEEAAAQQQIHDDZwABBBBAAAEEEEAAAQQQQAABBBCwqQCBG5sODM1CAAEEEEAAAQQQQAABBBBAAAEECNzwGUAAAQQQQAABBBBAAAEEEEAAAQRsKkDgxqYDQ7MQQAABBBBAAAEEEEAAAQQQQAABAjd8BhBAAAEEEEAAAQQQQAABBBBAAAGbChC4senA0CwEEEAAAQQQQAABBBBAAAEEEECAwA2fAQQQQAABBBBAAAEEEEAAAQQQQMCmAgRubDowNAsBBBBAAAEEEEAAAQQQQAABBBAgcMNnAAEEEEAAAQQQQAABBBBAAAEEELCpAIEbmw4MzUIAAQQQQAABBBBAAAEEEEAAAQQI3PAZQAABBBBAAAEEEEAAAQQQQAABBGwqQODGpgNDsxBAAAEEEEAAAQQQQAABBBBAAAECN3wGEEAAAQQQQAABBBBAAAEEEEAAAZsKELix6cDQLAQQQAABBBBAAAEEEEAAAQQQQIDADZ8BBBBAAAEEEEAAAQQQQAABBBBAwKYCBG5sOjA0CwEEEEAAAQQQQAABBBBAAAEEECBww2cAAQQQQAABBBBAAAEEEEAAAQQQsKkAgRubDgzNQgABBBBAAAEEEEAAAQQQQAABBAjc8BlAAAEEEEAAAQQQQAABBBBAAAEEbCpA4MamA0OzEEAAAQQQQAABBBBAAAEEEEAAAQI3fAYQQAABBBBAAAEEEEAAAQQQQAABmwoQuLHpwNAsBBBAAAEEEEAAAQQQQAABBBBAgMANnwEEEEAAAQQQQAABBBBAAAEEEEDApgIEbmw6MDQLAQQQQAABBBBAAAEEEEAAAQQQIHDDZwABBBBAAAEEEEAAAQQQQAABBBCwqQCBG5sODM1CAAEEEEAAAQQQQAABBBBAAAEECNzwGUAAAQQQQAABBBBAAAEEEEAAAQRsKkDgxqYDQ7MQQAABBBBAAAEEEEAAAQQQQAABAjd8BhBAAAEEEEAAAQQQQAABBBBAAAGbChC4senA0CwEEEAAAQQQQAABBBBAAAEEEECAwA2fAQQQQAABBBBAAAEEEEAAAQQQQMCmAgRubDowNAsBBBBAAAEEEEAAAQQQQAABBBAgcMNnAAEEEEAAAQQQQAABBBBAAAEEELCpAIEbmw4MzUIAAQQQQAABBBBAAAEEEEAAAQQI3PAZQAABBBBAAAEEEEAAAQQQQAABBGwqQODGpgNDsxBA4P8LeDwe+eOPP+Tw4cOxvo4cOSJnz56VS5cumS+9Ll26dJI+fXrJmDGj5MmTRwoVKhTvK3PmzNAigAACCCCAAAIIIIAAAlEjQOAmaoaKhiLgfIF///1Xvv32W9myZYt8/fXX5uvHH380HS9QoEC8IEy2bNlMoEaDNWnTpvUFcS5cuJBgsOfUqVOSN29eKV++vFSuXFmqVKlivhctWtT5uPQQAQQQQAABBBBAAAEEolKAwE1UDhuNRsAZAufOnZMVK1bI0qVLZdOmTfLdd9+JBlFiBlVKly5tgi1p0qRJcaf1eQcPHpStW7f6gkPbtm2T7Nmzm2fWq1dPmjVrJsWLF0/xs6gAAQQQQAABBBBAAAEEEAiFAIGbUChSBwII+C1w4sQJWbhwocyfP19WrlwpJUuWlKZNm0rNmjVN8CRXrlx+1xWKCy9fvizff/+9md2zfPlyE0QqXLiwNG/e3HzprJxQBI1C0VbqQAABBBBAAAEEEEAAAfcJELhx35jTYwQiLqBLoGbMmCEffPCBmVlTq1YtExTRgE2xYsUi3p6kHqjLrNauXSsLFiyQTz/9VDR3TsuWLaVHjx5SqlSppG7lHAIIIIAAAggggAACCCAQcgECNyEnpUIEEPAK6LKk8ePHy7vvvmtm1nTr1s3MrsmRI4f3Elt/16CN5tqZPn26TJ06VSpVqiS9e/eWJk2amETItm48jUMAAQQQQAABBBBAAAFHCBC4ccQw0gkE7CWgS6DGjh0ra9askdatW0uvXr2kQoUK9mpkgK35+++/zYyhcePGmd2sunfvLl26dJHcuXMHWBOXI4AAAggggAACCCCAAAL+CxC48d+KKxFAIBmBdevWyYABA+To0aPSs2dP6dy5s0Q6Z00yTQzJaQ1IaWBq9erV0qdPH3nqqadEd7iiIIAAAggggAACCCCAAAKhFiBwE2pR6kPAhQK6G9TAgQNl8+bN8uyzz0rXrl0lQ4YMjpfYtWuX6bcup/L2W7cmpyCAAAIIIIAAAggggAACoRIgcBMqSepBwIUChw4dMgGLOXPmyJNPPmlmnujW2m4r3plGf/75pwwfPlxatWrlNgL6iwACCCCAAAIIIIAAAmESIHATJliqRcDJApq0V5cKDRkyRNq0aSPPPfecFChQwMld9qtvH3/8sTzzzDNStGhRee+99+S6667z6z4uQgABBBBAAAEEEEAAAQQSEyBwk5gMxxFAIEGBAwcOSKdOneT48eMmWW+0Jx1OsJMpOHj+/HkZOnSoTJw4UUaOHGmWjaWgOm5FAAEEEEAAAQQQQAABlwsQuHH5B4DuIxCIwNtvv21yuuiOSs8//7xkzJgxkNtdde1XX30lHTt2NLNuJk+eLEWKFHFV/+ksAggggAACCCCAAAIIhEaAwE1oHKkFAUcLHDlyxMyy0dk2U6dOlWrVqjm6v6Hq3Llz52Tw4MEyZcoUGT16tLRr1y5UVVMPAggggAACCCCAAAIIuESAwI1LBppuIhCsgO6Y1Lx5c2nRooW88sorctVVVwVblWvvW79+vTz00EMmafHrr78u6dKlc60FHUcAAQQQQAABBBBAAIHABAjcBObF1Qi4SmDmzJnSo0cPeeONN8yMG1d1PsSd/f33300A7JprrpHZs2dLjhw5QvwEqkMAAQQQQAABBBBAAAEnChC4ceKo0icEUiigu0bpEh/dGWnu3LlSq1atFNbI7SqgiYu7dOkimzZtkoULF0qJEiWAQQABBBBAAAEEEEAAAQSSFCBwkyQPJxFwn8DZs2elbdu2cvDgQVmwYIEUK1bMfQhh7rEuOdMdp3RGU/369cP8NKpHAAEEEEAAAQQQQACBaBYgcBPNo0fbEQixwN9//y2NGjWSnDlzyowZMyRr1qwhfgLVeQUWLVok7du3N8memzZt6j3MdwQQQAABBBBAAAEEEEAglgCBm1gcvEHAvQLeoE3evHlNDpb06dO7FyNCPV+zZo20bNmS4E2EvHkMAggggAACCCCAAALRKEDgJhpHjTYjEGIBgjYhBg2gOoI3AWBxKQIIIIAAAggggAACLhQgcOPCQafLCMQUIGgTUyN1XhO8SR13nooAAggggAACCCCAQDQIELiJhlGijQiESeDChQsmOW7u3LlZHhUmY3+r9QZvdKtwEhb7q8Z1CCCAAAIIIIAAAgg4X4DAjfPHmB4ikKhA586d5cCBA7J8+XIhp02iTBE7sXjxYunQoYN8+eWXUrJkyYg9lwchgAACCCCAAAIIIICAfQUI3Nh3bGgZAmEVeOONN2TcuHGyefNmyZUrV1ifReX+C+hW4ZMnT5ZNmzaZ3b38v5MrEUAAAQQQQAABBBBAwIkCBG6cOKr0CYFkBJYtWyYPPfSQfP7551K6dOlkruZ0pAV01s3vv/8uS5culXTp0kX68TwPAQQQQAABBBBAAAEEbCRA4MZGg0FTEIiEwJ49e6RmzZoybdo0adSoUSQeyTMCFDh//rzUq1dPqlatKm+99VaAd3M5AggggAACCCCAAAIIOEmAwI2TRpO+IJCMwNmzZ6VSpUqiuW369++fzNWcTk0BnXFTpUoVeemll0zem9RsC89GAAEEEEAAAQQQQACB1BMgcJN69jwZgYgL9OrVSw4ePCgLFy6M+LN5YOACupStadOmsn37dilatGjgFXAHAggggAACCCCAAAIIRL0AgZuoH0I6gIB/ArrddOvWrWXnzp1SsGBB/27iqlQX6NevnxmzFStWpHpbaAACCCCAAAIIIIAAAghEXoDATeTNeSICERc4c+aMlC1bVoYPH26SEke8ATwwaIF///1XKlSoIE888YR079496Hq4EQEEEEAAAQQQQAABBKJTgMBNdI4brUYgIIEuXbrIyZMnZe7cuQHdx8X2ENAt2+vXry/btm2T66+/3h6NohUIIIAAAggggAACCCAQEQECNxFh5iEIpJ7A8uXLTXLbXbt2Sd68eVOvITw5RQLPPPOMfPnll7J27VpJkyZNiuriZgQQQAABBBBAAAEEEIgeAQI30TNWtBSBgAUuXbokZcqUkSFDhkjbtm0Dvp8b7CNw4cIFM5bDhg0zuYrs0zJaggACCCCAAAIIIIAAAuEUIHATTl3qRiCVBSZOnCiTJ0+WLVu2MEsjlcciFI+fM2eODBw4UH744QfJkCFDKKqkDgQQQAABBBBAAAEEELC5AIEbmw8QzUMgWIGzZ8/KTTfdJNOnT5c777wz2Gq4z2YC1atXl3bt2olu7U5BAAEEEEAAAQQQQAAB5wsQuHH+GNNDlwq88MILJifKsmXLXCrgzG6vX79e7r//ftm3b59kz57dmZ2kVwgggAACCCCAAAIIIOATIHDjo+AFAs4ROHbsmJQoUUL0P/LLlSvnnI7REyPQtGlTKV++vGhwjoIAAggggAACCCCAAALOFiBw4+zxpXcuFXjyySflzz//lKlTp7pUwNnd/v7776VGjRpm1g07hTl7rOkdAggggAACCCCAAAIEbvgMIOAwgdOnT0uRIkVMQuKSJUs6rHd0xyvQsmVLqVSpkug24RQEEEAAAQQQQAABBBBwrgCBG+eOLT1zqcCYMWNk4cKFsmLFCpcKuKPbn332mbRv314OHDgg6dKlc0en6SUCCCCAAAIIIIAAAi4UIHDjwkGny84V8Hg8UqpUKXnllVdE86BQnC1QtmxZGTp0qOjsGwoCCCCAAAIIIIAAAgg4U4DAjTPHlV65VEBn2XTr1k32798vadOmdamCe7o9ceJEmT17tqxdu9Y9naanCCCAAAIIIIAAAgi4TIDAjcsGnO46W0Bn2dSpU0f69+/v7I7SOyNw9uxZk89ow4YNUqZMGVQQQAABBBBAAAEEEEDAgQIEbhw4qHTJnQK//PKLlC5dWvR7rly53Ingwl737dtXzp8/L+PGjXNh7+kyAggggAACCCCAAALOFyBw4/wxpocuEXjzzTdFZ17MnTvXJT2mmyqwdetWady4sRw+fJjlcXwkEEAAAQQQQAABBBBwoACBGwcOKl1yp0C9evWkc+fOZqchdwq4t9fFihUzuW5q1KjhXgR6jgACCCCAAAIIIICAQwUI3Dh0YOmWuwROnDghhQsXliNHjkjOnDnd1Xl6K7169ZKsWbPKyJEj0UAAAQQQQAABBBBAAAGHCRC4cdiA0h13CkydOlX0a82aNe4EcHmvV61aZYI3u3fvdrkE3UcAAQQQQAABBBBAwHkCBG6cN6b0yIUCLVq0kNtvv10ef/xxF/aeLl+8eFHy5csnGzdulJtvvhkQBBBAAAEEEEAAAQQQcJAAgRsHDSZdcafAv//+K3ny5JHvv/9eNNcJxZ0Cbdu2lXLlysnTTz/tTgB6jQACCCCAAAIIIICAQwUI3Dh0YOmWewTWr18vXbt2FZbJuGfME+rpBx98IDNnzpSlS5cmdJpjCCCAAAIIIIAAAgggEKUCBG6idOBoNgJegVGjRsm2bdtk2rRp3kN8d6GAzri67bbb5I8//nBh7+kyAggggAACCCCAAALOFSBw49yxpWcuEWjTpo1Ur15dnnjiCZf0mG4mJHDlyhW55pprZOfOnXLdddcldAnHEEAAAQQQQAABBBBAIAoFCNxE4aDRZARiChQvXlymTJkitWrVinmY1y4U0Bk3vXv3llatWrmw93QZAQQQQAABBBBAAAFnChC4cea40iuXCJw6dUry5s0rf/31l2TJksUlvaabiQn069dP0qdPLyNHjkzsEo4jgAACCCCAAAIIIIBAlAkQuImyAaO5CMQUWLVqlfTt21d27NgR8zCvXSowa9Yseeedd2T16tUuFaDbCCCAAAIIIIAAAgg4T4DAjfPGlB65SOC1116T7777Tt5//30X9ZquJibw448/SrVq1eTkyZOJXcJxBBBAAAEEEEAAAQQQiDIBAjdRNmA0F4GYAo8//rjkypVLhg4dGvMwr10qcOHCBcmUKZOcOXNGsmXL5lIFuo0AAggggAACCCCAgLMECNw4azzpjcsENAntPffcI126dPGr5wsXLpQ9e/bEurZgwYLStm3bWMeSerN582bZsGGDeDyeWJc99dRTsd6H+s2+fftk6tSpcvz4cTlx4oTZQUmXBUVr0W27f/vtN6lQoUJIu5AnTx758ssvpUSJEiGtl8oQQAABBBBAAAEEEEAgdQQI3KSOO09FICQCNWvWlMGDB0vjxo39qm/ixImyaNEiE7zRQIi3bN26VSpWrOh9m+T3QoUKyZEjR8w1V199tVmao7M75s6dK2nSpEny3pSc/OGHH6RPnz7y1VdfmWTMt9xyi+zatSslVSZ677fffisvv/yybNmyRX799VcpUqSIqLXOcNKlSAmVQO+ZMGGC6U+7du3kpptukquuukoyZMiQUNVSp04dKVu2bILn4h4sV66cjB49WurVqxf3FO8RQAABBBBAAAEEEEAgCgUI3EThoNFkBLwC1113ncybNy/gWRuaAyV37tzeaqRHjx4yfvx43/vEXnzxxRdy9913y7lz58wlOuPl0UcfTezygI9///33smLFCnnyyScTvVcDRDrTKFyBG80X1KtXL7n33nvNczSg8uGHH4om/tUdm2bOnBlvu+1g7tEg0JgxYxLtZ8wTGojRbb79KQ0aNJAOHTrIQw895M/lXIMAAggggAACCCCAAAI2FyBwY/MBonkIJCWg+Ux++eUXyZ8/f1KXJXguZ86cZpnV7NmzzbIjnUWjQYqkSqdOnSR79uy+gIMGWTSQE6qiwRGdFfTZZ58lWqUGj2rXrh2WwI0m97311lvlmWeekf/973+x2qDBnHHjxpngzeLFi6V+/frmfDD36I3qpruC6RjqV9q0aWM9T9/odu+VK1c2S58Sm40T96ZHHnlESpcuLeFeuhb3ubxHAAEEEEAAAQQQQACB8AgQuAmPK7UiEHYBzfWi+Wk0IW0wS5Q0cPPRRx/5AhDTpk0TXbaTWNGEt5o35eOPPzZLd/S6UAdudGvzb775JtUCN7oU68033zQBlTvvvDMWhebVKVasmPzzzz/Spk0bmTFjhjkfzD16oy6/0uVSTZo0ifUc7xud5dOtWzfjEUi+Gg04aRtHjRrlrYrvCCCAAAIIIIAAAgggEMUCBG6iePBoursFdu/eLbfffrsv30ygGhq42b59u1lSo7NYNCfK2rVrE61m0qRJJudLz549fUuzQhm4OX/+vNxwww1SvHjxVAvc1K1b1yRe1tw9e/fujTeTSfPcbNy40Rz//fffjVUw95w+fVry5csn+j1jxozxzH/++WcpX7686Hbv/iae9laiy6q+/vpr+eCDD7yH+I4AAggggAACCCCAAAJRLEDgJooHj6a7W2DHjh1mtsbBgweDgvAGbtasWSO6BEpn7WiwQhPlJlQ0Ka8GBXRZj3cnpOQCN4cPH5Zjx46ZOpPanlp3qNLZPjqL5bbbbgsqcKOBH21bSkrDhg1l2bJlki5dOtElUNdff32s6jQJ9JIlS8wxzROkhsHcoztKaV+feOKJWPXrm8uXL4sGgzSwo/mLAi3epWa67IyCAAIIIIAAAggggAAC0S9A4Cb6x5AeuFRAlxTdf//9sn///qAEvIEbTVKsS650KdSgQYNk+PDh8erbuXOnmZmj33X3pOQCN7rMZ8iQISYAogEIvUfzrmgC5CpVqsSqXwMNw4YNk0OHDpnj11xzjejOSN7y4IMPymOPPeZ9KzFz3OgOU88995xZ8qWzV7JmzSq1atWSN954wyxF8t3k5wudxaTt0SCVLoeKW0qWLGmCWzly5DBbkmtemmDuiVtvzPcvvfSSyaWj1jETSMe8JqnXkydPNsGnOXPmJHUZ5xBAAAEEEEAAAQQQQCBKBAjcRMlA0UwE4gps3rxZ2rdvb7b2jnvOn/fewI3mbenatavoDlG61bcmO9YZJzGL7vKkO1jp9+QCNzpL5L777jPBE+/uULr1uCbj1a21dVeoZs2a+apfv3696NKgdevWie7OpLNcNBjjLRpEufnmm71vfYEbDQRp7hcN9Lz++usmyPHqq6/KgAED5I477pDVq1f77gnFC53hpImLtXTs2NG0Nbl6A71HZ09pX7Ufmgw5mDJ16lQzU2f+/PnB3M49CCCAAAIIIIAAAgggYDMBAjc2GxCag4C/Alu2bJG2bduaGSD+3hPzupiBm02bNkn16tXN6YULF5qtsL3X6hIkDaZ4Z4AkF7hp0aKFaNBAA0Ixl3HpDBCdIaRLsfbs2RNvFyWdKaL5XPxdKqXta9SokegOT94Sc5tznQmjM2RCVVq3bm0SM3vdihYtmmzVgd6js3xWrlxpgmdZsmRJtv6ELtDgl47hJ598ktBpjiGAAAIIIIAAAggggEC0CVi5JSgIIBCFAtu2bfNYs2CCbrm13MdjBVZ895cpU8Zj/fzyNG/e3HdMX8ycOdNjBSB8x/S5ep1+WTlufMe9Lx566CFzrlSpUt5D5ruVzNd3n5X3JtY5fWPN+DHnrcBNvHMxD3z++ee+eqzgVcxT5rW17MucT6ht8S7288D06dNNndaW3J5Fixb5dVeg91gJhc0zBg4c6Ff9iV309ttve6wAWWKnOY4AAggggAACCCCAAAJRJsCMm2iLtNFeBP5PYNeuXSYxri4/CqZ4Z47ozBgtmhdGt+NOnz69/Pbbb74dlXSJU//+/X3bhic340Zz5axatUpq164tefPmlUuXLsnRo0fNV+XKlcX6GWkS/8ZNghzojBtdznX27Nl4CYl1qZHO6NGZODojJ6VFZw3pEil91uzZs80ysOTqDOYenW2kBrqzl+7wFWzRPEJWcMu3XXmw9XAfAggggAACCCCAAAII2EOAwI09xoFWIBCwgOaFqVSpkujyoGBK3MDN8ePHpXDhwnLhwgUZOXKkyRWjz7jzzjtFc9RoIl4tyQVu9Jp//vlHNEGxBk8014w1U0VuueUWE1DQ87p7lW77HbMEGrjRpMcaEIpbvIEba2aM6C5QKSkahNKlWxoI0qDNvffem2x1wdyjQSFvgugTJ05Irly5kn1OYhdofhz11ZxFFAQQQAABBBBAAAEEEIh+AQI30T+G9MClAv/++69cddVVcu7cOcmcOXPACnEDN1qBNyeL5obRHDHPPvusSVQcM1lwcoEbTZrcqlUrk4i4QYMG8sorr0jZsmVN+zT4ozNuAgnc6IyimPlkvLtK5c+fX6zlV/H6HarAjQawNPBjLQ0TDQJ5cwDFe2CMA8Hco7d7EzrrLKKLFy+ardljVBvQyz59+kj27NnlhRdeCOg+LkYAAQQQQAABBBBAAAGbCkTZ0i6aiwACMQQ0T401GybGEf9fxs1xo3cuW7bMlz/ms88+81x77bWx8uDoNUnluLFmi3isgJCpw9qpSi+PVdKkSWPOWYEbc9zawcp3PrEcNxkzZvRdoy+8OW6swE2s4943VtDJPMPfXDTe+2J+v3LlisdKFOyxdtny/PDDDzFPeS5fvmyOWzNrYh0P5h5vBf369TNttmbaeA8F/V3zEU2YMCHo+7kRAQQQQAABBBBAAAEE7CWgf/2mIIBAlApYW2J7rO20g2p9QoEbDUpYOW9MEMFaiuS555574tWdVOBmzJgx5l5N4hs3sHH48GFzzophezRwY83M8cRMRPzuu++a83Xr1vU9U+uwZhX53uuLSARurFw/HmuWj+fHH3+M9Wx9Y23x7dEEyHFLMPd466hVq5bpu5X3x3so6O9WbiHPggULgr6fGxFAAAEEEEAAAQQQQMBeAiyVsulMKJqFgD8Cmjj40UcflQceeMCfy33XaE4VXSr15ZdfiiYMjll0WZR3mc1HH31ktvCOeV6XQlWrVs0cipsAeOjQofL8889LQvlnZs2aJbrdtRZrFovJT6PP0Rw4WpYuXWqSCd94440mp44e0yTHulxL2+ktmni3Tp06JvGxtTuV97Dve4kSJUzy42Bz3Lz++uvy1FNPyUsvvSTWrl2+eq0f3WZZmhUUMTl8vO3WC4K5x1ex9UK3Wz9w4IAZC93mPSVF/TQfT9xxTUmd3IsAAggggAACCCCAAAKpKGCvOBKtQQCBQAQ6dOjgGTVqlN+36PbfS5YsMTNprB87nnLlynnmzJnjsZIQ++qwAggeXdKUJ08ez/nz52Md37lzp+exxx7zzZzRrb+3b9/u2b9/v7nOyj9j7tW633//fd+9utzICqh4atasae7VNg8ePNjTq1cv3zV//vmn5+qrrzbndZmWlevF06lTJ8+gQYPMNVawyWMlCfbodtlav5UPxrN8+XLfUjHtg96XJUsWc75t27ZmWZeVd8b3jORe6Nbn3uVc+ozEvnr27OmrKph7fDf/34ts2bKZZ9WoUSPuqYDf6wylQ4cOBXwfNyCAAAIIIIAAAggggIA9BZhxY/2XGQWBaBWwghpmu23dScifYgVCzDbRmsxYt/22lkaJFZyRG264Qb777jtfFe3btxdN8msFV3zHdFaIznDJlCmTb4cp68eauV+T6p46dcok1dXZHjprR3di0tkfuu237v6kM1j0fdOmTU1yYq3PCrSIdztyfdCGDRukXbt2cuTIETOjRttoLQUTK9eO2Sa7fv365vlW3huT5FjbrgmadScmTVZ8+vRpX/s0ya8mcJ46dapYASZfP5J6oTOJdEZRcmXs2LFiBW/MZcHcE7f+AgUKGCPdtWrhwoVxT/v9XsfACrj5xsTvG7kQAQQQQAABBBBAAAEEbCtA4Ma2Q0PDEEhewJrVItaMGbPtdvJXR+4KDejoFuJW8mETdNHgjbdoMMWaEWKOa2AmbtFdsnbt2mWCD1WrVhUN0ji9rFixQvSrY8eOUqZMmaC7qztuaXBOd+2iIIAAAggggAACCCCAgDMECNw4YxzphUsFrKVLonluEtoW26Ukru72W2+9JZs2bTKzqlwNQecRQAABBBBAAAEEEHCQAIEbBw0mXXGfgC51svLCyO7du8XaBcl9APQ4loAuM6tYsaJYO1zFOs4bBBBAAAEEEEAAAQQQiF4BAjfRO3a0HAEjYG3/bP5D/b777kPE5QKal+idd94xu265nILuI4AAAggggAACCCDgGAECN44ZSjriVoEnn3xSrJ2UZPjw4W4loN+WgCZmzp07t0kSnTVrVkwQQAABBBBAAAEEEEDAIQIEbhwykHTDvQIffvih2TlJk9tS3Cuwdu1a6d27t0ns7F4Feo4AAggggAACCCCAgPMECNw4b0zpkcsEfvzxR9Hdl/744w+zxbfLuk93/09AZ1zpTl7vvfceJggggAACCCCAAAIIIOAgAQI3DhpMuuJegeLFi8ukSZPk9ttvdy+Cy3tevXp16devn9x///0ul6D7CCCAAAIIIIAAAgg4S4DAjbPGk964VOCpp56Sixcvim4HTXGfwJEjR+SGG24ws66yZcvmPgB6jAACCCCAAAIIIICAgwUI3Dh4cOmaewQ+//xz0a2gDxw44J5O01OfwNtvvy0LFiyQJUuW+I7xAgEEEEAAAQQQQAABBJwhQODGGeNIL1wucOXKFSlQoIBoguLy5cu7XMN93W/YsKG0aNFCunbt6r7O02MEEEAAAQQQQAABBBwuQODG4QNM99wj0LlzZylatKgMHTrUPZ2mp3LmzBnJly+f/PzzzyZ4BwkCCCCAAAIIIIAAAgg4S4DAjbPGk964WGDhwoUyePBg2bFjh4sV3Nf12bNny5tvvikbN250X+fpMQIIIIAAAggggAACLhAgcOOCQaaL7hC4cOGCFCtWTObNmyc1atRwR6fppdlJrHXr1tKjRw80EEAAAQQQQAABBBBAwIECBG4cOKh0yb0CQ4YMkZ9++kk+/PBD9yK4qOffffed1K5dW3777TfJmjWri3pOVxFAAAEEEEAAAQQQcI8AgRv3jDU9dYHAoUOHpGTJkrJ//37Jnz+/C3rs7i7qLJtMmTKZpVLulqD3CCCAAAIIIIAAAgg4V4DAjXPHlp65VECXzZQtW1Z09g3FuQJ//fWXSUa9detWKV68uHM7Ss8QQAABBBBAIGIC//zzj+zcuVN++eUXOXz4sO/r2LFjcv78ebl06ZJpS/r06SVz5sxmg4RChQqJ9+vaa681v4fqOQoCCIROgMBN6CypCQFbCKxfv17atGkjBw8eFP1HleJMAU1IvHz5clm6dKkzO0ivEEAAAQQQQCDsAtu3b5cvvvhCvv76a9myZYvs3r1brrvuOtEAjDcYo991JrfO8s2QIYN4PB4TwPn333/l999/9wV3NNBz4MABs4S7dOnSUqVKFalcubJZ1n3LLbeEvS88AAEnCxC4cfLo0jfXCtx6660ycOBAE8BxLYKDO3758mW5+eabzRKpxo0bO7indA0BBBBAAAEEQimgM2b0j3wLFiwwX+fOnZO6deuaAIsGWipVqiTXXHNNih558uRJEwjSYJB+rVu3TnLmzCnNmjWT5s2bS61atSRt2rQpegY3I+A2AQI3bhtx+usKAd0i+tlnnxVNXsusG+cN+eTJk2XUqFEmCXWFChWc10F6hAACCCCAAAIhFdi7d6+MHTvW/O6QK1cuE0DRIIruRBruIIr+wWnDhg0yf/58Eyw6e/asdOjQQXr27CnXX399SPtJZQg4VYDAjVNHln65WkCnsFatWlUeeeQRtol22CdB155rTpuHH35YJkyYIPXq1ZPnnntOypcv77Ce0h0EEEAAAQQQSInAlStXZPHixSZg89VXX0m7du2ke/fuJgdNSupN6b2an2/ixIkya9Ys83tMr169pH79+pImTZqUVs39CDhWgMCNY4eWjrld4LPPPpMHH3xQ9u3bJ9myZXM7h2P6P3z4cNGxXbFihfz555/yxhtvyJgxYwjgOGaE6QgCCCCAAAIpF9DZLYMGDRIN3mhgRP/gc/XVV6e84hDWoL/HvPvuuzJ+/HjJnj27jBw5Uho0aBDCJ1AVAs4RIHDjnLGkJwjEE9D8JzrzRmdkUKJf4Pjx42a2zZo1ayTmEikCONE/tvQAAQQQQACBUAhoouEBAwaYpMHDhg0zf8Sz+0wWDS5NnTrVLPMvUaKEvPLKKybXTig8qAMBpwgQuHHKSNIPBBIQ0O0ca9euLbquWXcDoES3wBNPPCEnTpyQ6dOnJ9gRAjgJsnAQAQQQQAABxwscPXrUzKzRRMD/+9//zJKojBkzRlW/NVHy6NGjzcybe++912zCoPl4KAggIELghk8BAg4X0Dw3+peMKVOmOLynzu7erl27pGbNmrJjxw6zTWdSvSWAk5QO5xBAAAEEEHCWwEcffWQS/d5///0yYsQI2y2JClRbd6Xq06ePrFy5UiZNmiQaxKEg4HYBAjdu/wTQf8cL6AyNMmXKmH/4mjRp4vj+OrGDunVntWrVzHTn/v37+91FAjh+U3EhAggggAACUSegS6gfe+wx0cTD7733ntx1111R14ekGvzpp59Kt27dTN6bN998M8XblCf1LM4hYHcBAjd2HyHah0AIBPQfPt1FQGdtMOU0BKARruL55583yYh1K81gtuwkgBPhAeNxCCCAAAIIhFngm2++kWbNmsndd99tlhTZLfFwqLqvf4DU4JT2V3+fLVWqVKiqph4EokqAwE1UDReNRSB4Ad1N4OLFizJjxozgK+HOiAts27ZNbr/9dtmyZYtJTJySBhDASYke9yKAAAIIIGAPgY8//li6dOkir776qvluj1aFtxWjRo0STbb84YcfSsOGDcP7MGpHwIYCBG5sOCg0CYFwCJw6dcosmXrrrbekZcuW4XgEdYZY4MKFC2ZXBf3l7PHHHw9Z7QRwQkZJRQgggAACCERMwOPxyNChQ2XChAkyZ84cqVu3bsSebYcHLVu2TNq2bWu2OX/qqafs0CTagEDEBAjcRIyaByGQ+gL6D16HDh3k22+/lUKFCqV+g2hBkgKaz0Zn2qxdu1bCsZUnAZwk+TmJAAIIIICAbQQ0aKPL3nW770WLFiW7UYFtGh7ihuzevdskK27RooWZcRTi6qkOAdsKELix7dDQMATCI9CvXz/RXCnr16+XzJkzh+ch1JpiAV3S1rdvX9m8ebMUK1YsxfUlVQEBnKR0OIcAAggggEDqCniDNpqEePXq1ZInT57UbVAqP/3w4cNSr149k+NHl4tREHCDAIEbN4wyfUQghsDly5fNXyo0SbGuE6bYT0Bn2WiywSVLlpgtwCPVQgI4kZLmOQgggAACCPgnQNAmYSeCNwm7cNS5AgRunDu29AyBRAX++usvqV69ulk2NWjQoESv40TkBfQXkSpVqpgEfJ06dYp8A6wnEsBJFXYeigACCCCAQDyBJ5980iyZZqZNPBrxBm/atGkjugMnBQEnCxC4cfLo0jcEkhD48ccfpUaNGvLee+9J06ZNk7iSU5ES+Pfff02iwdq1a4vunpDahQBOao8Az0cAAQQQcLPApEmTzB9ydCZu/vz53UyRaN8PHjwoVatWldGjR8sDDzyQ6HWcQCDaBQjcRPsI0n4EUiCwatUquf/++2XlypVSuXLlFNTErSkV0CVs+hejM2fOmKSD6dKlS2mVIbufAE7IKKkIAQQQQAABvwTWrVsnzZs3lzVr1kiFChX8usetF2nuxiZNmpj8P5UqVXIrA/12uACBG4cPMN1DIDmBqVOniiYsXr58udl6OrnrOR96AQ3a6G5f+/fvlxUrVsjVV18d+oeEoEYCOCFApAoEEEAAAQSSEfj555+lWrVqMn78eGnVqlUyV3NaBd5991157rnnzG6cBQsWBAUBxwkQuHHckNIhBAIXmDJlijz11FMEbwKnS/EdMYM2Gjy75pprUlxnuCsggBNuYepHAAEEEHCrgP5eUKtWLbNJwYsvvuhWhqD63bt3b9mzZ4/5I1hQFXATAjYWIHBj48GhaQhEUoDgTSS1//+zojFoE1OJAE5MDV4jgAACCCCQcoERI0bI3LlzZePGjZI+ffqUV+iiGjRXYMWKFeXxxx+X7t27u6jndNUNAgRu3DDK9BEBPwUI3vgJFYLLoj1oE5OAAE5MDV4jgAACCCAQnMCuXbvMbBsN2pQuXTq4Slx+1+bNm6V+/fqybds2uf76612uQfedJEDgxkmjSV8QCIGA5rzRrSf1O7tNhQA0gSp0O/YHH3xQ9PvSpUujYnlUAt2Id4gATjwSDiCAAAIIIOCXwKVLl0xeG90ZacCAAX7dw0UJCwwePFi++OILs416mjRpEr6IowhEmQCBmygbMJqLQCQEdJcpDSxo3ptBgwZF4pGueYZuw64BMZ3Kq4n0MmfO7Li+E8Bx3JDSIQQQQACBMAtMmDDB/F6gM0bSpk0b5qc5u/oLFy7IrbfeKs8++6zZsdPZvaV3bhEgcOOWkaafCAQooAEG3VpRtwmfPHmyIwMMAZKk+HLdfl0DYrqLlxsCYgRwUvyRoQIEEEAAARcI/P3333LTTTfJrFmzpF69ei7ocfi7uGDBAunTp4/s3r1bMmbMGP4H8gQEwixA4CbMwFSPQDQLeJf0nDx5UubPny9srxj8aI4ZM8b85ceNS9AI4AT/ueFOBBBAAAHnCwwdOtRsY7148WLndzaCPaxdu7bZTl1TAFAQiHYBAjfRPoK0H4EwC2gS3f79+8uHH34oOo33vvvuC/MTnVX9H3/8IT169JBvvvlG9K8/ZcuWdVYHA+gNAZwAsLgUAQQQQMAVAkePHpUSJUrI559/7urfEcIx2F9++aU0a9ZM9u3b55h8guFwos7oECBwEx3jRCsRSHWBJUuWSJcuXcwU3rFjx0rOnDlTvU12b4Bu5/nYY4+ZnDajRo2S7Nmz273JEWkfAZyIMPMQBBBAAIEoEBg4cKAcPnxYPvjggyhobfQ1UfMK1qxZU9SZgkA0CxC4iebRo+0IRFhA/4O7Q4cOsnXrVnnnnXekcePGEW5BdDxOl5b16tVL1q9fb5waNmwYHQ2PcCsJ4EQYnMchgAACCNhK4N9//5UiRYqIbgpRoUIFW7XNKY1Zs2aNdOrUSX766SdJly6dU7pFP1woQODGhYNOlxEIVmDjxo3SqFEjeeutt8xWlRqQGDlypOTLly/YKh1335w5c+Txxx+Xu+66S0aPHi05cuRwXB9D3SECOKEWpT4EEEAAgWgQeP/9980feHRJDyV8ArfccosMGzZMWrRoEb6HUDMCYRYgcBNmYKpHwCkCZ8+elRtuuMH8w6dLpo4fP25y38ybN0/69u1rdkrKmjWrU7obcD90bfqAAQNE16rrsihdU00JTIAATmBeXI0AAgggEN0CFStWlKeeekoeeuih6O6IzVs/fvx40T+s6ewbCgLRKkDgJlpHjnYjEEGBAwcOyPXXXy8amNEtK2OWHTt2yNNPPy3ffvutPPfcc/Loo49K+vTpY17i6Nc//PCDWTetfy0bMmSIdO/enW0nUzjiBHBSCMjtCCCAAAK2F9iyZYs0adJEfv31V8mQIYPt2xvNDdTfXXVJ2qZNm6RkyZLR3BXa7mIBAjcuHny6joA/AjNnzjRrg8+fP28CFC+//HKCt+lfMXTGif7j+MILL5jdp5wcwNG10moxe/ZsszRK+3711VcnaMPB4AQI4ATnxl0IIIAAAvYX0D966Wxm3fCBEn6Bdu3aiS6ZGjRoUPgfxhMQCIMAgZswoFIlAk4QOHPmjHTu3FkWLlwomjwvY8aMJtlutWrVEu2ex+MxgYyXXnpJTp06ZWafdO3aVfLmzZvoPdF0Qvu3fPly80vWunXrRH8J0Fk2hQoViqZuRF1bCeBE3ZDRYAQQQACBZARuvvlmGTNmjNx9993JXMnpUAjoUqnXXntNvvrqq1BURx0IRFyAwE3EyXkgAvYX0KmkzZs3N8EXDdpo0Wm8+pchf6fzfvbZZybAsWzZMpMMrnfv3lK1alX7dz6BFv7111+iCQR1jfTly5fNFt+PPPIIW6InYBXOQwRwwqlL3QgggAACkRLYs2eP6B/C/vjjD79/r4pU25z6HJ0Rrptp7N+/XwoWLOjUbtIvBwsQuHHw4NI1BAIVuHLlinTs2FGmTZtmbk2TJo3oLBMtuk3lN998Y14H8j+//fabTJw4USZNmiSFCxc2QRwNCpUrVy6QaiJ+7enTp2XJkiWyYMECWbx4sdSsWdNs8a27aqVNmzbi7eGB/wkQwPnPglcIIIAAAtEnoDtybt++XWbMmBF9jY/iFjdu3FiaNm0q3bp1i+Je0HS3ChC4cevI028E4ghocjxd+rN+/XrJnDmz1K1bV3SnpIsXL5rgTb9+/WTEiBFx7vL/rebI0dk38+fPl0WLFpl8MLrzkn7Vrl1b0qVL539lYbry8OHDJlCjwRpdCqW7PWj7WrZsKTfeeGOYnkq1wQoQwAlWjvsQQAABBFJTQJdHPfzww+b3rtRsh9uerTOn165dKx9//LHbuk5/HSBA4MYBg0gXEAiFgO4clTNnTrnmmmtMdbo9pf41SAM5OhNHAy76l4pQFF1upEEhDZBovboUSZdRValSRSpXrmy+h3sa64ULF0z/dFeHr7/+2nzt27dP7rjjDhOs0b/I5M+fPxTdpY4wCxDACTMw1SOAAAIIhFRAf9/SZeklSpQIab1UlrSA/s53//33i/7OS0Eg2gQI3ETbiNFeBCIgsHHjRtElQbrVt8420X/oTp48GbacLrt375bNmzeb52gQRbcWz5Urlwni6A4AGsTRBMAxv/zJtaNt1lk0Mb8OHjwoW7dulZ07d5p6NVDkDRbpevNs2bJFQJhHhEOAAE44VKkTAQQQQCCUAvpHIv29Q//N0iXp4S46czqh35n0j2h2mO0c7v7HrF//aJc9e3Y5dOiQ5MmTJ+YpXiNgewECN7YfIhqIQGQFNBlx+fLlRZdGdenSxewM9fbbb/ty3USiNZcuXZJdu3aZWTCawC9m4EVfa5Lk3LlzmyCLbjmuX/rLh/5yovfqd034p9911kzMgE/RokVNvh79pckpu11FYkyi6RkEcKJptGgrAggg4C6BmTNnyuTJk2X16tV+dVyT6S5dutQsY9ffdbzBHs1BqL/naN69Rx99NFZdJ06cMLte6kYR+nuULoEvU6aM9OzZUzp06CDjxo0TPRfKJUPfffed5MiRw+QzjNWYIN/ojCTdecs7EzzIauLdpr//vfjii9KwYcN45ziAgJ0FCNzYeXRoGwKpIKBLpHQ2im57reX777+Xt956SzR4Y5eiW5UfOXLEBHA0UKNfupzLG8TRrcv1LykatCGRsF1GLfLtIIATeXOeiAACCCCQtID+nqUBGE1Q7E/R38cmTJhg/iClwQydKaNF//ikufiyZMkin3zyia+qbdu2mVnTmTJlktdff91srnDu3DlZsWKFCVhUr15dVq1aJfXq1TNL1n03puDFL7/8YgJDffv2laFDhyZak+ZT1N8nNWiks7mvvfZasx26btN91VVXxbpPf4crUqSINGjQwMz41uBTQr/T6X0drY01vAGtWJUk8KZ79+4muDRkyJAEznIIAfsKELix79jQMgQiLhBziZTOTPGWNWvWmNwv3vd8RyCaBAjgRNNo0VYEEEDA2QK66UGLFi1MsCHQnrZq1Urmzp1rbtPgy5133hmrCt0IolKlSmYpkP7hLW6+wL1795rNJ44ePWp2V9Jcg6EoOntFN6DQYMgLL7yQYJUbNmwQbb8GmnTGT506dUSXr+tmGPo6Zlt0qbvOrPanaADr999/TzCok9D9+sdIXTL/wQcfJHSaYwjYV8CaZkdBAAEEPNZfYzwlS5b0WNt2o4GAIwWsXwQ91i+VHmsqt8fakt5j/VXSkf2kUwgggAAC9hWwlup4rFk0QTWwf//+Huu/Ks3XTz/9FK+OWbNmmXN6XWLFCqCYa6xNGBK7JKDjU6ZM8bVJ/41NqHz66aceK8+Ox5oh5Dl9+rTvkueff97cq+es2dS+49YGFua4NcPGY+Ue9FjLpcy/3frvt/fL62DNNvLd58+L2bNne6yAlz+Xcg0CthJgxo19Y2q0DIGICsRdIhXRh/MwBCIowAycCGLzKAQQQACBWAKFCxc2y9E150ygZcCAAfLqq6+a26zAjVx//fWxqrACNqLLjl566SV55plnYp2L+UaXWOnM6pizXGKe9/e1znTRfujSr2PHjiU440ZnAWmuGt3JSTefuPXWW33V61Iu/f1T89hoDkOdjaNFcwDpl+5Aqsvg4xbNx6i7keqmEu+8807c00m+1zq7du1qUgEkeSEnEbCZAIEbmw0IzUEgNQQSWyKVGm3hmQhESoAATqSkeQ4CCCCAgApoPj7Nw6dBDt09M9CSXOCmU6dOYs2AkSpVqpjdOhOrf/jw4WY78pQGbnTJV7FixURz3MyfPz/BwM2oUaPMhhe6HGr9+vWxmqRBHW2vBnM094636AYZGsx59tlnvYdifX/88cfN0izN55M1a9ZY55J7owEvDVydOnUquUs5j4CtBAjc2Go4aAwCkReIu4tU5FvAExFIXQECOKnrz9MRQAABtwjoDBWdJaPJgoMpyQVudPaJzibRMmbMGLOLVEJJezU58Jw5c2Ts2LHBNMPc89FHH8nAgQPNhhbt2rVLNHCTL18+k1j5ueeeSzJxccyGaN06S6dcuXIxD5vXusOWtdxZvvjiC7OterwLkjmgv/dqQuN//vknXkLkZG7lNAKpKkDgJlX5eTgCqS/AEqnUHwNaYA8BAjj2GAdagQACCDhVYN++fVKjRg0TyAimj8kFbrT+EiVKiJWYw1Rfs2ZN0Z2eNAGwJvENVTl+/LjccsstMmPGDJMgWWfeJDTjRpc/6dIwLXq+VKlSMnXqVJNMWGfY3H777XLTTTf53Szd5lyXZvXu3TvJpWDJVWjl1DFLs0JpktwzOY9ASgUI3KRUkPsRiGIBlkhF8eDR9LAJEMAJGy0VI4AAAq4W+OGHH8wunUeOHAnKIbnAjVaq24zrTJi4RWew1K9fXx577DGxNqOIezqg923btjVLlKwNLcx9iQVudFdS785Xo0ePlmHDhkn79u3N0igrYbHZIWv8+PGiW3T7U3r06CF6388//2yWnPlzT0LXaC4dDXIVKlQoodMcQ8CeArZKlUxjEEAgYgLsIhUxah4UpQLsQhWlA0ezEUAAAZsK7Nq1y2PNQAm6dcntKuWteNCgQR4rYbBvtyfrv0J9r62lUx5rK2zvpQF/1x2itA9WjhjfvbpToz4j7q5S1rbfvudmypTJs2LFCt89+uK+++7zaHv0uuSK2mmfrMBUcpcme153qvr111+TvY4LELCTADNu7BlPo1UIhF2AJVJhJ+YBDhFgBo5DBpJuIIAAAqkssGfPHrntttvMUqFgmuLPjBtvvfv375ePP/5YNJ/Nl19+KdZ2295TZqcmnbnSsGFD3zF/Xvz1119midTbb78tjRs39t2S2IwbK4AkI0aMMNfpzJtVq1b57tEX1tbkZhmXvtbZSDorKLFibV8uK1euNHaauDglRXPc6KydAgUKpKQa7kUgogIEbiLKzcMQsIcAS6TsMQ60IroECOBE13jRWgQQQMBuArqjkW5jrTligimBBG5i1n/58mWzy5QmLJ45c6Y5pblwNJAUSHn00UdFk/tOnz491m2JBW50aZQ1C8dcq4mT9f6YRXeVsma/yKVLl8zyrpdffjnmad9ra3aMXHfddaI7U2kgKqVFtxjXRNF58uRJaVXcj0DkBOw0/Ye2IIBA+AVYIhV+Y57gbAGWUDl7fOkdAgggEC4BK7muxwoaeKxASlCPSG6plLU9tscKCiVZ9+DBg33Ll6zkwUleG/OkNdvFkz9//gTrT2yp1FtvveV7lt6fUMmRI4e5pkmTJgmdNsdeeOEFc42VlDjRa/w9Yc0aMsuzLl686O8tXIeALQSYcRO5GBlPQsAWAiyRssUw0AgHCDADxwGDSBcQQACBCAvoMh2deVOwYMGAn5zcjJsHHnhA7rnnHnnkkUcSrfvChQty4403ym+//SazZs0SvcefosuYMmbMKM2aNYt3uS7J0tk7tWvXlnr16knatGnFCjLJ6tWrzdbdesPnn38utWrVinev7uykM5B0ty1d0pVQufXWW2XHjh3y/PPPy7PPPpvQJX4f2717t1mudvToUb/v4UIE7CBA4MYOo0AbEIiQgP6DqGuS9R+/okWLRuipPAYBZwsQwHH2+NI7BBBAIJQCN9xwg8k9U6lSpYCrTS5w07p1axOUSWzJkfeBVlJgmTdvnmlHq1atvIeT/P70008nusRLl19ZM7qlfPnyUrFiRVNgjFe5AABAAElEQVTPiy++KLpEq1ixYua9Ps+amRPvGZqv5vTp0/Lwww/LlClT4p3XvDq5cuWSK1euiO5MpVuBp6ToTlf9+vUTa3ZSSqrhXgQiLkDgJuLkPBCB1BHQNcn6FwudcdOlS5fUaQRPRcDBAgRwHDy4dA0BBBAIkYDOOtHtuq2lQQHX6E/g5ptvvpG9e/eaWS+JPeCOO+6QtWvXmlkymusmpaVUqVKiM1k0n421rClWdWXKlJHvvvsuwdkyGrDJmTOnCcq8/vrr0rdv31j36htNaHz33Xeb45pbR7ciT0nROjTQtHjx4pRUw70IRFyAwE3EyXkgAqkjwBKp1HHnqe4TIIDjvjGnxwgggIC/AjorRgMn3bt39/cW33VPPvmkWHljzHsNlJQsWdJ3Tl9o3bpsSQNDic260d2UNNBSunRp2bp1q1jbcceqI5g3uvRKl38l9FydJfPEE09IgwYNZOnSpbGqX7JkiZkJrrNudFephJaPTZ06VTp27GjuW7RoUazdrGJV5ucbaztx0R23Jk2a5OcdXIaAPQQI3NhjHGgFAmEVYIlUWHmpHIEEBQjgJMjCQQQQQMDVAkOHDpVjx47J+PHj/XLQbbx1ByTNA9OpUyffTlA6O0Xf6zKiQoUKmbq8gRt907lzZxO80Rwy3qL16A5Qmzdvli+++EKqV6/uPRXwd50to/Xp7B7dqtvK3mqWSmlAxEpi7FsiZSUBlmrVqpmlSRpU8i7N+vvvv01OnO3bt8uECRMSDWTpTBz946OW5cuXS/369QNua8wbdMZOlSpVRINgFASiSYDATTSNFm1FIAgBlkgFgcYtCIRQgABOCDGpCgEEEIhyAV2io0l2NXjiT9GgRp8+fSRz5syi21jrDBkNkmjOF91GW5MN6+96WjRwc+DAAZkxY4ZJULxx40YTHNHEwtYOUrJ+/XpTjy4XuvPOO/15fKLX6EyYrl27iiZb1nZp0XZ526NBndy5c5vjGuRp3769LFy4UDS/ji6P0iVQ1i5boluUa36bxMrEiROlR48e5vSWLVukcuXKiV3q13GdpfTee+8lmCjZrwq4CIFUEiBwk0rwPBaBSAmwRCpS0jwHgaQFCOAk7cNZBBBAwA0CupvRtddeaxLy6i5NoSwasNHZJMWLFzfV6s5RuhxKvzSoUrVqValTp45YW3CH8rF+1aXP17w6mzZtklOnTpkATN26dc3snKQq0Jk5r7zyigkCPf744yla2qWJjvPkySP6PUuWLEk9lnMI2E6AwI3thoQGIRA6AZZIhc6SmhAIlQABnFBJUg8CCCAQnQK605LushTMzlLR2WN7tFp3lNIlUrq7KgWBaBMgcBNtI0Z7EfBTgCVSfkJxGQKpJEAAJ5XgeSwCCCCQygKa56VevXrSq1evVG6Jux7/0ksviSZnnjx5srs6Tm8dIUDgxhHDSCcQiC/AEqn4JhxBwI4CBHDsOCq0CQEEEAifwLvvviuzZ8+WFStWhO8h1BxPQJeK6c5XmmeHgkC0CRC4ibYRo70I+CHAEik/kLgEAZsJEMCx2YDQHAQQQCBMArqrlOa50QS+uhU2JfwChw4dMrl//vjjD8maNWv4H8gTEAixAIGbEINSHQKpLcASqdQeAZ6PQMoECOCkzI+7EUAAgWgQqF27tvTs2VPatGkTDc2N+jbq7lxLliwxO1tFfWfogCsFCNy4ctjptJMF+vfvL9u3b2f6rZMHmb65QiBuAGfo0KFy6623uqLvdBIBBBBwusBrr70mur21LpmihF+gQYMGormFHn300fA/jCcgEAYBAjdhQKVKBFJLYOPGjdKoUSMTuNEdCygIIBD9AgRwon8M6QECCCAQV+DgwYNyyy23yC+//CK5cuWKe5r3IRT49ddfpVSpUnLgwAGzHXgIq6YqBCImQOAmYtQ8CIHwCugSqfLly0u/fv2kS5cu4X0YtSOAQMQFCOBEnJwHIoAAAmEVaNq0qdSpU0d0tjQlfAKDBw8WDd588MEH4XsINSMQZgECN2EGpnoEIiWgu0jt2LGDJVKRAuc5CKSSAAGcVILnsQgggECIBVauXCndunWTffv2Sdq0aUNcO9WpwPnz56Vo0aKyePFiqVKlCigIRK0AgZuoHToajsB/AiyR+s+CVwi4RYAAjltGmn4igIBTBTwej5QuXVpGjhwpOvuGEnoBnWUzbtw42bRpU+grp0YEIihA4CaC2DwKgXAIsEQqHKrUiUD0CBDAiZ6xoqUIIIBAXAENKsyaNUs2bNgQ9xTvUyhw5coVqVixolmK1rZt2xTWxu0IpK4AgZvU9efpCKRYgCVSKSakAgQcIUAAx37DePr0aZNX4fDhw+L9OnLkiPz9999y8eJFuXz5sqRLl07Sp08vV111lRQoUEAKFSpkvgoWLChFihSRvHnz2q9jtAgBBEImoEt5SpYsKWPGjJEmTZqErF4qEpk2bZqZzaS7rerPWgoC0SxA4CaaR4+2u16AJVKu/wgAgEA8AQI48UgickCDNFu3bpWvv/7abPGr33W3GA28eIMx3u/Zs2eXDBkymICNBm80iHPu3DnRoI43wKPf9X3OnDmlcuXKJjeD93v+/Pkj0iceggACkRGYPn26vPzyyyZXIQGG0Jh7A2Jjx46Ve++9NzSVUgsCqShA4CYV8Xk0AikRYIlUSvS4FwHnCxDACf8Y//jjjzJ//nzztWXLFilevLgvwKJBFt3pL3PmzEE3RIM633//faxgkCahv/HGG6VZs2bSvHlz87w0adIE/QxuRACB1BfQXDe6pKdXr17SuXPn1G+QA1rw+uuvy6effirr1q1zQG/oAgIiBG74FCAQpQIskYrSgaPZCERYgABOaME1WDNlyhSZN2+eHDp0SBo1amSCKA0bNpRrrrkmtA9LoLYLFy7I2rVrTbBI/6NEiyY1bd++vdSsWTOBOziEAALRILBixQrp2LGjCdbmyJEjGpps2zYePXrUJH1esmSJVKtWzbbtpGEIBCJA4CYQLa5FwCYCLJGyyUDQDASiSIAATvCDpQku9T8AdMr9l19+KQ8++KC0bNlSbr/9dsmYMWPwFafwTv0rvc700SCSBpN0KVbPnj3loYceStFMnxQ2i9sRQCBIAf3/rua80p2QKMEL6IzEwoULy/jx44OvhDsRsJkAgRubDQjNQSA5AZZIJSfEeQQQSEqAAE5SOrHP6c/biRMnmoBN2rRpTVBE/yIeiZk1sVuS/DvNkzNnzhzT1j179sijjz4qffv2lXz58iV/M1cggIAtBE6ePCllypQxP3fYHjy4IdGg1/PPP2/yBWXNmjW4SrgLARsKELix4aDQJASSEmCJVFI6nEMAAX8FCOAkLqUzbKZOnSrPPvusyVszYMAAueeeeyRacsls27ZNRo0aJQsXLjTBm379+gn/AZP4eHMGATsJLFq0SLp06SK7du2S3Llz26lptm+LLl8tV66cmYVYt25d27eXBiIQiACBm0C0uBaBVBZgiVQqDwCPR8CBAgRwYg/q4sWLZeDAgaIzbEaOHCkNGjSIfUEUvdNExtoXDeQMHTrUJD3VZRgUBBCwt8Ajjzwix44dM8l19WcRJXkBnXV49913myTPGrimIOA0AQI3ThtR+uNYAZZIOXZo6RgCthBwewBHt9/2/pX7xRdflHbt2pngjS0GJ4WN0GTGOmtIt8fVXDi6ew0FAQTsK3Du3DmpXbu23HXXXSaAbN+W2qdl3bp1k927d8uqVaskQ4YM9mkYLUEgRAIEbkIESTUIhFuAJVLhFqZ+BBBQATcGcKZNmyZPPvmkCda8/PLLkiVLFsd9GDSRsSZXHjJkiOnr4MGD+Y8bx40yHXKSwG+//SZVq1Y1gRvdNY6SuID+bNPtvzVZe548eRK/kDMIRLEAgZsoHjya7h4Blki5Z6zpKQJ2EXBDAEeXIuhfabdv3y7vvfee1KtXzy78YWuHbmeuCZb1L/qax6ds2bJhexYVI4BAygQ2bdpk8mvprnY1a9ZMWWUOvXvlypXSunVrWb9+PT/PHDrGdOv/CxC44ZOAgM0FWCJl8wGieQg4XMCpARz9D6IWLVpIkyZNzF9qs2XL5vCR/K97mnxZc0AMGzZMxo0bJ23btv3vJK8QQMBWArNmzTI72i1dutTMwLFV41K5MZ999pn5Oa6zJu+9995Ubg2PRyC8AgRuwutL7QikWIAlUikmpAIEEAiBgJMCONOnT5devXrJ6NGjpUOHDiHQic4qdDbnfffdJw8//LAMHz7cMTl9onM0aDUCiQvoz6wnnnhCCN78Z+QN2rz//vvSvHnz/07wCgGHChC4cejA0i1nCLBEyhnjSC8QcJJANAdwdKbJM888Y5YIzZs3T6pXr+6koQmqL7/++qs0a9ZMihQpIh9++KFkz549qHq4CQEEwitA8OY/X4I2/1nwyj0CBG7cM9b0NMoEWCIVZQNGcxFwmUC0BXB0q9g2bdrIzz//LAsWLDCBCpcNWaLd/eeff8ysm71795odWfLmzZvotZxAAIHUE9DgTe/evc3ucBpwdWPRAHPPnj2NATNt3PgJcG+fCdy4d+zpuc0FWCJl8wGieQggYASiIYCjQZsHH3xQjh8/LprkM2vWrIxeHAHddUr/Y2jDhg2yZs0aIXgTB4i3CNhEQLe71p9nffv2NTMIbdKssDfDO2NyypQpojMma9SoEfZn8gAE7CRA4MZOo0FbEPg/AZZI8VFAAIFoE7BrAIegjf+fJII3/ltxJQKpKaC7wzVt2lQqVKgg7777rlx11VWp2ZywP/vMmTPSrl070aWdOmOyaNGiYX8mD0DAbgIEbuw2IrTH9QIskXL9RwAABKJawE4BnEuXLskDDzzATJsAPlEEbwLA4lIEUlHg9OnT8tBDD8n+/ftN3q6qVaumYmvC9+h169ZJp06dpEqVKqKJiLNkyRK+h1EzAjYWIHBj48Ghae4UYImUO8edXiPgNAE7BHC6d+8uu3btkuXLl7M8KoAPmAZvunXrZuzWrl0rmTJlCuBuLkUAgUgKTJw4UQYOHCiPPfaYDB06VDJmzBjJx4ftWefOnTP90rw+b775prRv3z5sz6JiBKJBgMBNNIwSbXSNAEukXDPUdBQB1wikVgBn3Lhx8tprr8mWLVskT548rvEOVUd1tlLDhg2lcOHCJgloqOqlHgQQCL2AJl3XWSknT56U8ePHS+3atUP/kAjWqHl8NOfWDTfcIJMnTzY/hyL4eB6FgC0FCNzYclholBsFWCLlxlGnzwi4RyCQAM7UqVPNX1fTpk0bFNDq1aulVatWsn79eilbtmxQdXCTiI5ZtWrVpGvXrqKzQSkIIGBfAZ0pN2HCBDPrRhP3jhgxQkqVKmXfBifQsm+//Vaefvpp2blzpwwfPlw6duyYwFUcQsCdAgRu3Dnu9NqGAiyRsuGg0CQEEAi5gD8BHJ0Wr8GXhQsXBvx8zfegwQb9Ky1bxQbMF++G3bt3S61atWTatGnSqFGjeOc5gAAC9hLQ3DevvPKKjBkzRlq3bi3/+9//5Nprr7VXI+O0Zt++ffL888/LokWLTJC4T58+5LKJY8RbBAjc8BlAwAYCLJGywSDQBAQQiKhAUgEcXd6kiTb1l/dRo0b53a7Lly9LzZo1zRIfzfVACY3A4sWLzTIMzReUL1++0FRKLQggEFaBw4cPywsvvCCaI+auu+6S3r17y5133hnWZwZSuc4QWrp0qYwdO1Y2bNggnTt3NkEmlrYGosi1bhIgcOOm0aavthRgiZQth4VGIYBAhAQSCuCUK1dOvMukXn75ZZOg0p/m6NT6+fPniwbD06VL588tXOOngCYrPnbsmMybN8/PO7gMAQTsIHD8+HEzA1GXUWXNmtUkHr/vvvtSbUvtn376ST755BN5++23DY8mVdb8PDly5LADF21AwLYCBG5sOzQ0zC0CLJFyy0jTTwQQSEogbgBHk2xqjhrd0Uin/Hfp0iWp22XHjh1Sp04d+eqrr6Iur0OSHbPJyb///tvkC3rxxRelXbt2NmkVzUAAAX8FdEaiLj+dMmWKrFy5UkqWLGmWk+qSUg2Wh6vozJpvvvnGBNU1sH7gwAFp0KCBCdZoAvQ0adKE69HUi4CjBAjcOGo46Uy0CbBEKtpGjPYigEC4BTSAo8ucdFco/YX/ypUrJngzY8YM0b8SJ1QuXrxolla1bduWJLoJAYXo2GeffSYtW7Y0iUMLFSoUolqpBgEEIi2gW22vWLFCFixYYII5+nO2UqVKUqVKFalcubJ5XaRIEd/MR3/bp8GhX3/9Vb7++muzo59+16BN5syZpUmTJiZQpMu1NCBPQQCBwAQI3ATmxdUIhEyAJVIho6QiBBBwgIAGaT744AMZOXKk7NmzRzJkyCDnz5/39Uzfaz6EhHI06LbfOvX+888/D/g/NHwP4IVfApon4+jRo/LRRx/5dT0XIYCAvQX0Z+/evXt9gRbNMaa7O+nP3/z584sGaQsXLiwFChSQjBkzmp/NGui5dOmSXLhwQY4cOSKaT0e/9GdDlixZpEKFCr4gkAaDbrzxRmbW2PtjQOuiQIDATRQMEk10pgBLpJw5rvQKAQQCFzh48KAMGzbM5GHw3q1/odVgjf4Hgv51WL9rmWJN83/44Ye9l5ktq2+66SYT1NGExpTwCuiMKLzDa0ztCNhB4MSJEyYY4w3MaI4rDeZowEZL+vTpzcwZb3BHAzz6lTNnTjs0nzYg4DgBAjeOG1I6FA0CLJGKhlGijQggkFoCZ86ckUOHDpn/aPB+11k4s2fPNn/h1R1SRowYIbfeeqv0799fNPDDDJDIjdarr74qutOULp2iIIAAAggggED4BQjchN+YJyAQS4AlUrE4eIMAAggEJBAzibEm1Zw7d67JoaCzQCiREdB/xzSx6fjx46Vx48aReShPQQABBBBAwMUCBG5cPPh0PXUEWCKVOu48FQEEnCWgAZz27dvL9ddfb3adclbv7N8bzUekM290Ny92hbH/eNFCBBBAAIHoFiBwE93jR+ujTIAlUlE2YDQXAQRsK6B5F3SWzb59+6RgwYK2badTG6Y5h3TWzejRo0W39KUggAACCCCAQPgECNyEz5aaEYglwBKpWBy8QQABBFIkoFuG604ouk04JXUE3njjDVm1apXJd5M6LeCpCCCAAAIIuEOAwI07xple2kCAJVI2GASagAACjhC4ePGiFCtWzOS3qVmzpiP6FI2dOHXqlBmHbdu2me1+o7EPtBkBBBBAAIFoECBwEw2jRBujXoAlUlE/hHQAAQRsJDBz5kx57bXXZOvWrTZqlTub0q1bN8maNauMGjXKnQD0GgEEEEAAgQgIELiJADKPcLcAS6TcPf70HgEEQi9w2223ycMPPyyPPPJI6CunxoAEdu7cKXXr1pXff/9dMmXKFNC9XIwAAggggAAC/gkQuPHPiasQCFpAl0jpL7bLly8Pug5uRAABBBD4/wJHjx6V6667To4dOybZs2eHxQYC5cqVkxEjRkijRo1s0BqagAACCCCAgPMECNw4b0zpkY0EvEukdLvUokWL2qhlNAUBBBCIToF33nnH5LZZtmxZdHbAga0eMmSIaEBt0qRJDuwdXUIAAQQQQCD1BQjcpP4Y0AKHCrBEyqEDS7cQQCBVBRo3bixNmjSR7t27p2o7ePh/ApprSMfl8OHDkjZt2v9O8AoBBBBAAAEEQiJA4CYkjFSCQHwBlkjFN+EIAgggkBKBv//+W/Llyyf79u2TQoUKpaQq7g2xgM4q/eijj6RGjRohrpnqEEAAAQQQQIDADZ8BBMIgwBKpMKBSJQIIuF5g3rx5JpfKpk2bXG9hN4BevXrJ1VdfLcOHD7db02gPAggggAACUS9A4Cbqh5AO2E2AJVJ2GxHagwACThEYMGCAXLlyxWwF7pQ+OaUfs2fPlokTJ8ratWud0iX6gQACCCCAgG0ECNzYZihoiFMEWCLllJGkHwggYDeBO+64Q7p16yYPPPCA3Zrm+vb89NNPUqFCBTl16pSkSZPG9R4AIIAAAgggEEoBAjeh1KQu1wuwRMr1HwEAEEAgTAIej0dy5swpmgj3xhtvDNNTqDYlArlz55Yvv/xSSpYsmZJquBcBBBBAAAEE4ggQuIkDwlsEghVgiVSwctyHAAIIJC+wZ88eqVmzppw4cSL5iwO44tKlS5I+ffoE70jqnN5w8eJFyZAhQ7x7L1++LOnSpYt33OkH7rnnHmnfvr20a9fO6V2lfwgggAACCERUgMBNRLl5mJMFWCLl5NGlbwggkNoCM2bMkClTpsiKFStS1JQzZ86Y3Y82b94s+rVr1y7JlCmTmSXy8MMPS48ePUwwZtasWfL666/Lli1bYj1PA0dDhgyRzz77TDSYlDlzZilTpoz07NlTOnToIOPGjTPnPv7441j32enNH3/8Ib/99ptZ2hTKdv3vf/+Ts2fPyhtvvBHKaqkLAQQQQAAB1wsQuHH9RwCAUAiwRCoUitSBAAIIJC7w4osvytGjR2Xs2LGJX5TMmc8//9wEV37++WcpXbq09OvXT2699VbRGZMaxNGAw7XXXitjxoyRO++8UwoXLiw7duzw1bpt2zZp1KiRCfRoUEdnAJ07d84Ek7R91atXl1WrVkm9evVkwYIFvvsCeaFLwUaMGGGWhP3yyy9SpEgRKVeunPTt29fUm1BdGkx66aWX5JNPPpG//vrLzCC66667RAMpt9xyS7xbJkyYIH369DEzY2666Sa56qqrEpw5pDfWqVNHypYtG6+OhA5MnTpV5s6dK59++mlCpzmGAAIIIIAAAsEKWGvGKQggkAIB65d2j7We3zNp0qQU1MKtCCCAAAJJCXTv3t1jBSeSuiTRc9ZOVJ5BgwZ50qZN67GCFB5r5o7HWs4U7/qTJ096mjZt6rF+pzJfVsDCd40V3PFYQRBPjhw5PIcPH/Yd976wZt948ufPb+7TOoIpVuDDtFHbas0E8vzzzz+e+fPne7Jly2bqtYIt8ao9cOCA54YbbvDky5fPs379enP+xx9/9FhBJU+WLFk8S5cujXdP7969fX309jWx76NHj453f2IHrNlQnkqVKiV2muMIIIAAAgggEKQAM26CjXhxHwL/J8ASKT4KCCCAQPgFmjVrJi1atJCOHTsG/DArsG52o7ICN7JkyRLRXCyJFZ19o7Nw9u7da2aaeGfc6HbXDz74oPTv319eeeWVBG/XGT06Q8UK3AQ84+b06dNyzTXXSMGCBc2sHZ0R5C0vv/yyPPPMM+atzujR2UDeon3R5WO6dOu2227zHpY///xTihcvbnLtfPfdd5InTx7fubvvvts8Q5eI6Ze6xC26O1TlypVNsuGE8vjEvV7f63O0biuwldBpjiGAAAIIIIBAsAJBBny4DQEELAFr9wzz11drOjseCCCAAAJhFLCCCJ7ly5cH/AT9+Xz11VebGSadOnXy6/5169aZ62POuLGC9OZYcrN+rC2xzawdvx4U4yLtm/W7nPmykvvGOOPxrF271nfOCuD4zum/QXqPzrhJqDz22GPm/MiRI2OdtpaAeazlTLGOxXwzffp0T9asWT06iyiQojOWrKTMHiupcyC3cS0CCCCAAAIIJCPAjJtgI17c53oBdpFy/UcAAAQQiKCA5puxghsmEXAgj23cuLGZZaP37N+/X6wgh1+362wVzf3inXFjBX1McuQqVaqYfDiJVTJ8+HDZtGlTwDNudIaPJjnWnao0X413ho0+xwok+fLbvPbaayY3jx5/9tlnRXPrdOnSRXRWUdzy4Ycfmjw2OhNHZ+Ro0Zk91rIq8z1jxozmWMz/0fw/5cuXF32O1htosZZnyb59+6RQoUKB3sr1CCCAAAIIIJCIAIGbRGA4jEByAiyRSk6I8wgggEDoBHT3JiufixQoUMDvSjUI4Q3U6NIjXcrjb9FdojZs2OAL3LzzzjvStWtXc7smL9bzadKkiVedBkjmzJkTVBJl3aVKlyhVq1YtVr2aZFiDOVp0lytdwqRFr9OkynpeAzhxiy6r0qVLut358ePHzVIs3VFKd+h64okn4l4uuo153bp1TWBn3rx58c77c6BYsWKyePFivxMa+1Mn1yCAAAIIIOB2AQI3bv8E0P+gBNhFKig2bkIAAQSCFrCW4MixY8ckd+7cftehW3P36tXLXN+tWzeZOHGi3/dq0OO9994zQQ69SWeRlChRQqyZzKYO3VFKd3rSQEfevHn9rjfQC3UGzs033yw//fSTPPDAA6LblHuLBrPOnz8vb775ZoKBGJ0tpPl6tOi/W7rrVVJFg0NqtnPnzoCcY9apgTINXFWsWDHmYV4jgAACCCCAQAoECNykAI9b3SnAEil3jju9RgCB1BPQYIkm0NWtrq18NX43RAMrusW3lueee06GDh1qXgf7P1auGBk4cGC82zWwUr9+fbFyyoi1y2C888Ee+O2338yyqI8++kh0e2/dYlyXImm5cOGCSSysr8ePHy89evTQl7HK7t27pVSpUubYsmXLkkzKfPDgQRMgevXVV33BrliV+flG+z9t2jSpWrWqn3dwGQIIIIAAAggkJ0DgJjkhziMQR4AlUnFAeIsAAgiEWcAbuNFlRLrzkr/Fm5dGr9flTd7ZN/7en9B1mntGd5XSZUVxiy6dsrb0lvbt28c9FdD7p59+2uSs0f5que+++8zMH90Bylt06ZN3po/OJNIZRXGLtS24mSWkxzX4c//998e9xPe+TZs2snLlSrGSOfuCQ76TAbzQWUlWcmMCNwGYcSkCCCCAAALJCRC4SU6I8wjEEGCJVAwMXiKAAAIRFAhmqZTOQvEuj4qZ1DelzdYkxx9//LFJ+Gvt7CRnzpzxVan5ZKwdm6Rhw4a+Y4G+sHZlEp3d+fvvv8v8+fNl0KBBkitXLnn99ddNsmGtT2fjFC1a1FTtT+BGl1jpUquEytatW03eHJ1NpFuPp6SwVColetyLAAIIIIBAwgIEbhJ24SgC8QRYIhWPhAMIIIBAxAR0hyfN81KwYEG/nzlixAgT9NAbBgwYILrUKdRFZ95ogmCd0TNz5kxTvc460UTDoSqjRo0yS6Y0KLRo0SKz5EmXjeXIkcM8QvPS6DKtuCXmUqlPPvlEWrRoEfcS8153j5o8ebJY2477dq9K8EI/DmowacmSJSQn9sOKSxBAAAEEEPBXgMCNv1Jc53oBlki5/iMAAAIIpKKABgR0t6Jy5cr53YqFCxdK06ZNzfW63Gju3Ll+36uBFw2GrF692tzz7bffmhkuSSVHjrn70+HDhwMKMiXVMO8W3pqIWHdt0nw0unxMZyHp98SSE+/atcsXQNFky3feeWe8x5w9e9a0U2cNnThxwszsiXdRAAeC2f0rgOq5FAEEEEAAAVcKELhx5bDT6UAFWCIVqBjXI4AAAqEV0K2vn3/+eWnQoIHfFeuOTEWKFDG7UWlSY80LkyFDBr/unzRpkmhCX52pokWXGd1zzz3yyCOPJHq/Jgy+8cYbzTKmpJYmJVTBoUOHzEwV3eq7QoUK8S7RpL979+41x3Wpli5J0iDSyZMnZciQIfLCCy/Eu2fdunW+GTTbtm2T8uXLx7tGt/3WoJYGgdQroS3O492UyAEN/Oh27Rpg0mTSFAQQQAABBBAIjQCBm9A4UouDBVgi5eDBpWsIIBA1ArrMp0mTJkkGThLqjCYT9uZt0Rk3GqTwp2iCYd0tavDgweby1q1bm6CMt67E6tD6NRiiOXBatWqV2GXxjmtgSpdcZcyYUQ4cOBBvto4Gc3TWjxadBXTHHXeY+rVPXbt2lbfffjtenRo80qTDuqRKg1YanIlbdDap5s7RHDoaeElJ0W3ENbeP5t+hIIAAAggggEDoBAjchM6SmhwqwBIphw4s3UIAgagS6Nmzpwlm6HKkQMo///wjFStWNDlnihcvLrp8SIMjSRXNDVOjRg3R2ZYavNGigZtvvvnGzHpJajaJBlQ0V4wutdJcN/4UTUacNWtWs8W3Xv/999/7tvH23p8zZ07RXaZ0RowGWPS97t6kASbdinz58uXeS33fhw0bZmbjtGzZUubMmeM7HvNF7dq15YsvvpCbbrpJdBeqlBRtg87+0QAUBQEEEEAAAQRCJ0DgJnSW1ORAAZZIOXBQ6RICCESlwEsvvSS6nGj8+PEBt1+XCd1+++2iCX01iDF79uwEZ59oxTrLUoM29957r7z44ou+Z2ngRmfRJLXz0s8//2wCLqVLlxbdqSmQZUd16tSRzz//3Mzw0YBLzPLDDz+I1qmlbt26okugtPz555+SP39+85xjx47F2ypd+/HVV1+ZpMkPPviguSfu/1x//fVmho8u0dqyZUvc0wG9n/L/2DsTuJmq/49/SZFChEqyRCiiZN9ly55IZCsJWUpKylqphKTNvmaL7FuylKxZy9ZK2hRKiCIp938+5999fvPMM/vcmXvvzOe8XvPMzF3O+Z73ee6ce7/nu0ybprNgIRMWCwmQAAmQAAmQgIUEVFA7FhIgAR8Ezp07Z6iYAoaKc+BjLzeRAAmQAAnEk4BSthhK+RJxk5999plRoEABQ91CGSrAsbFkyZI0dSlLGf27r5Q2BuYAz3Lvvffqc3H+Qw89ZChFiedu48iRI0aFChUMZY1jKKV/qn2hfFHuT4ayBDJUJixDxZpJOUXFizFUbB3ddrZs2QyVWStlHz4o5ZLepwIpp9qulEx6uwpInGq795crr7xSH6eUPN67wv6uMncZTzzxRNjn8QQSIAESIAESIIHABGhxY6ESjFUlFgG6SCXWeLI3JEAC7iaAgLx33HGHtjIJx5LFs9dwNULa7jfeeEPHfIEbFAL2IqX3nj17dLYmxLDp1atXGmsZWNwg9szs2bN1nB1YZMLNCHUgg9SGDRsEGZXgvuQre5OnHP4+IwvW448/LkppJEoJJLCGgfsR3LsqVaokCJhcvHjxVKdfvHhR+vbtq+PUIIMWgjfDQmfs2LE6MDFSlAfKhIVgwseOHdMWRmg/moJ+I7W4P+ueaOrmuSRAAiRAAiSQzASouEnm0Wff/RKgi5RfNNxBAiRAArYRQABd/D4jw1I0BXFvENcFWZqgELr++uulXLlyWjGUOXNmn1VDYVO2bFlBnBwUBOCFOxReao1Mnw93JwQCjqYg3s3q1at1nBu0gdgzCEwMxU0ghZWy+NFZsOAWhvg3UKJAnkDnQE60hdcDDzwgJUqUiFh0MEC7O3fu1DJHXBFPJAESIAESIAESSEOAips0SLgh2Qkwi1Sy/wew/yRAAk4lgCC8HTp0kDZt2jhVxKSVC0owWAkhPTkLCZAACZAACZCAtQSouLGWJ2tLAAJ0kUqAQWQXSIAEEpIAUnvDWua1115LyP65uVOzZs0SBCdes2aNm7tB2UmABEiABEjAkQSouHHksFAouwjQRcou8myXBEiABIITWLFihSAdONyBWJxFoEuXLoJ4Oc8995yzBKM0JEACJEACJJAABKi4SYBBdHIXVDYMOX36tMBnHy+UDBky6JfKZCGXX365Y8Sni5RjhoKCxIDAn3/+KXjhOkQgVhRci5deeqlOIYx3FhJwOgEE7c2VK5eoDFGSP39+p4ubNPIhvk2ePHlk+fLlOk5Q0nScHSUBEiABEiCBOBGg4iZOoBO1GTwE4gYawRkR4PGnn37S2TWQYQOvkydPpihq8JCIIIkqzWmKIkelNtU3e7jhM1/IooHMISpdq6jUqHFDRxepuKFmQzEggAdaWCF88sknOjOOeQ2a73/88YdW0piKUzxo4frF9YisNMg6Y16D5jsCwJYpU0YHgg0W4DQGXWKVJOCTQLNmzUSlBZdHH33U535ujD8BWKsi69aPP/4Y/8bZIgmQAAmQAAkkAQEqbpJgkK3s4g8//CDr16/XWSN27Nghu3fv1qv1eLgrUqSIzsxhPvSZ7/4ydMDCBVkw8GDpqfCBAghZKY4ePaqVN6gbr2rVqqVk87CyT6iLLlJWE2V9sSawd+9enRUH1wquRaT/LVCggFZ6QvlpXn/IloPP1113nVbc+JLrzJkzqRSu5jWJOlE/lDulS5fWGXVwLeKhOXfu3L6q4jYSCIsAAtlC6Yh5Aq+MGTP6PR/Kxi1btghiqXz11VfywQcf+D2WO+JL4OmnnxYoh9966634NszWSIAESIAESCBJCFBxkyQDHU039+zZI4sXL5YlS5bo1KmVK1dOeYDDQ1zevHmjqd7vub/88kuKgggPjxs3btQPn3fffbc0bdpUypcvHzTNqd/KPXbQRcoDBj86lgDcmzZs2KCvxaVLl2q3J6T6xTWIFMWwUkMq3liUQ4cO6WsR1+H27dtl27ZtWpGDaxEvMz1yLNpmnYlNAA/7Q4YMkeHDh6d0FJaWUOBkypRJv7ADlhxwrUWqbWSVQnBiKBhj9T+fIgw/hESgWLFi8uabb0qdOnVCOp4HkQAJkAAJkAAJhEeAipvweCXN0fv27ZMpU6boh0TExWjcuLFWluCmzK64NFj1/+ijj1IeXPEg26RJE30TX7FixYjHhi5SEaPjiTEmAAsDWBVMnz5dEJQ1R44c+jqEsqRSpUqSPn36GEvgu3rErVq5cqW+FvEOi5577rlHOnbsKDfeeKPvk7iVBAIQQCppKGSgGITrnq+COemBBx7QCnvMRXCZ6tatm69DuS2OBKDQrV+/vlakMVZWHMGzKRIgARIggaQiQMVNUg134M4i3gUsa7BqBjcM3ES3aNHC1gdEfxLjgRZxdRYuXKgVTLD66dGjh7Rq1SplhdbfuZ7b6SLlSYOfnUIArktIqztmzBiBRdhDDz2kH1KLFy/uFBFT5IBCdd26dTJv3jyZM2eOVK9eXV+L9erVs8QiLqUhfkhoAqYb1LBhw2TZsmUpfYXlTYkSJbSiEEGJzbJo0SKdXQox1ljsJYB7BbhkvvTSS/YKwtZJgARIgARIIIEJUHGTwIMbateOHz8u48aNk/Hjx2uzcyhA2rZtq+MNhFqHncf9/fffMn/+fK1wOnjwoH7I7d69u9xwww0BxaKLVEA83GkDAcTtgOJ0xowZ2hUQ12KjRo1ss6wJFwGCkcMqAgqnSy65RFtDQOmUJUuWcKvi8UlAwFTWQOm3YMECrehr0KCBTJ48WQfOhqtU69at9dzkbckBi0tYd02dOlXuvPPOJKDlzC7i/gGxtRAPK9ic68weUCoSIAESIAEScAcBKm7cMU4xkRIuUK+++qqMHDlSateuLT179tSr5TFpLE6VwgoHD76wxOncubP069dPu5f4ap4uUr6ocJsdBBCce9CgQdpqBavXUDwiZoRbC1xd3nvvPX0tItPVwIEDpWvXrn6DI7u1n5Q7fAK+lDWw7Lz33nulQoUKMnToUOnfv7+OcYP5KZArFI5FYG783rPYQ4BjYA93tkoCJEACJJB8BKi4Sb4x1yuZWNF89tlnpVSpUgLTdLwnUoHlDW7+16xZI8h2gbSxWL01C12kTBJ8t5MAYsW8/PLLOhMLLAtwTSL7UyIVBFR+6qmnBCvzcKXAAzpTiyfSCAfvSzBljfn/AIUfLLVQ8H+D4NuBimntAXep/PnzBzqU+2JAAO7VsHp6++23daa5GDTBKkmABEiABEiABP4jQMVNkv0rYBX8iSee0G5QyOJRq1athCaA1Vg8NCLFOB4a4QJGF6mEHnJXdA4PqKNHj5bnn39eP5xi1bpo0aKukD1SIeEKAwu4bNmy6YxACK7MkrgEQlXWeBJA5kIE3v7+++8lX758nrv8foZFzvnz57V7ld+DuCMmBOBijUUgzLMsJEACJEACJEACsSVAxU1s+Tqm9lOnTsljjz2mLVDgGoUgvuYqp2OEjKEgyHwDqxu4n+CF4MurVq2KYYusmgR8Ezhw4IDOjHPu3DltaZNMCgys0E+YMEEHlX3wwQflxRdfTGUJ55sYt7qFQCTKGs++IV4N5qZwMhcePXpUKz03b96sgxh71sfPsSOANO6FCxeWd955h9Y2scPMmkmABEiABEgghQAVNykoEvcDFBQIEFqtWjX9oIiUwslYzp49K3379pXZs2fLCy+8II888kgyYmCfbSKAh1rEX0Ism8cff1y78mXIkMEmaext9scff5ROnTrJDz/8oN0sypUrZ69AbD1iAtEqayJu2OPEwYMH6yyDy5cv99jKj7Ek8Nxzz8m2bdt0LKtYtsO6SYAESIAESIAE/p8AFTcJ/J+AFbHevXvrFN9jx46V5s2bJ3BvQ+/ahx9+KB07dpQ77rhDZ9PyTDEbei08kgRCJ/Ddd98JLEwQk2P69Oly++23h35yAh+JTHZQpsLdBfF9LrvssgTubeJ0zQnKGk+amOsKFSok7777rusD7Hv2y6mfjx07JkWKFJFNmzbJrbfe6lQxKRcJpCIAF+UjR47Izz//rF9ICoDv+P24cOGCYD8WU5DB7qqrrpI8efKkvJDuPmfOnKnq4xcSIAESiDcBKm7iTTxO7SGmS5MmTfTNFR6OcufOHaeW3dHMmTNntFLr/fffF8RVKF26tDsEp5SuI7B27Vrt/vHwww8LVqmpnEg9hN9++60gkxZumpEdiL9Vqfk45ZvTlDXeXJCCfuLEibJ9+3ZmL/OGY/F3KKFR4NrGQgJOJQC3ZMRf2rlzp35HhkP8jiEBgKdSJkuWLPo3A4HR4c4LJc6JEydSFDxQ9MAlM3v27HrBr0yZMlK2bFmBpeg111zj1O5TLhIggQQkQMVNAg7qunXrpGXLltKrVy/tjpGAXbSsS5MmTZI+ffrouBvIdsNCAlYSgGsU3DimTZumFalW1p1IdeFmGb9Xy5Yt04rU2267LZG659q+OF1Z4wkWij+4A9euXVtbb3nu42frCKxYsUK7XiOT19VXX21dxayJBKIkgHkE2egWL14sS5culd9//12gZDFfULaEGvTcWxT8vnzxxRcpSiAog/bs2SM333yzDqiOoOolS5b0Po3fSYAESMBSAlTcWIrT/sqw6og02FgJw0TCEpzAxo0bpUWLFtK1a1d9w59MQZuD0+ERkRDAil337t0F1ja4gSxRokQk1STdObAOfPrpp3WmmnvuuSfp+u+EDrtJWePN6+DBg/ohDe6wtKL0phP9d1gh4LcMrtdNmzaNvkLWQAIWEECsJWQ4g/U0lIm498WrYsWKkj59egta8F0FEgysXr1aK4oQXwuWO/fdd5++l8yfP7/vk7iVBEiABKIgQMVNFPCcdCpWA3r27ClYDcODIjX/4Y0OYpCYrmWzZs2SjBkzhlcBjyaB/wgggxseaqAAnD9/Pv3iw/zP+OijjwTWb7QYDBNcFIe7WVnj3W1YuSFz2a5du+iW6A0nyu9t2rQRuJMgThcLCdhJ4Pz58zJnzhwZPXq0fP/99wJX5NatW0vx4sVtEevff/8VZLaDdS1ibdWqVUvfk8MCkIUESIAErCJAxY1VJG2sB0obZI3at2+fIO01g+1GNhgIUIcAzlihgaktlTeRcUzms6C0qVOnjjafnjx5MmNtRPjPcOjQIc0RN+LIAMdiPYFEUtZ40kG/8NAEd7tXX33Vcxc/R0EAD8lPPvmk7N+/XwdujaIqnkoCERP466+/dHbGESNGSMGCBbVyBKEBnBQ77rfffhO44cMy7YorrpDnn3+eyUEiHnGeSAIk4EmAihtPGi787Km0WbNmjQ6e5sJuOEZk3BTAWoLKG8cMiWsEMZU2t9xyi3ZVjKWJtmugRCEoUobXqFFDr6JSeRMFSI9TE1VZ49FF/RHZYhDP4uWXX5b27dt77+b3MAnAegnKMMSgqlq1aphn83ASiJ4A7nVnzJghgwYN0gqboUOHaleo6GuOXQ2QGdY3CF+AoPvDhw/n9RM73KyZBJKCABU3Lh5mKm1iM3hU3sSGayLXSqVNbEaXypvouSaLssabFOJe1KtXT5A5sEKFCt67+T1EAsimAyUYgqx36tQpxLN4GAlYRwBxCHv06KEzD0IZ27BhQ+sqj0NNiHmHGDxDhgzRv0Vw52QMnDiAZxMkkIAEqLhx6aDiZrxjx47aPYqWNtYPoqfyBgHvnGSGa31vWWM0BJC5An7stLSJhqL/c03lzf33369vfP0fyT0mgWRV1pj9N99nzpypswYiJXDevHnNzXwPkQDiiFSvXl3Kly8vr7/+eohn8TASsIYA7sP69eun48YMGzZMhwRwsyXr6dOn9RwGNyq4elERas3/CWshgWQiQMWNS0f72WeflQULFujUh9mzZ3dpL5wtNm4a7rrrLilcuLD2V3a2tJTODgIISNioUSPJli2bzJ49O6YZLOzon1PahPIGGUKee+45ffPuFLmcJAeVNb5HA1nKYHWDTFM5cuTwfRC3piGA3zYoS2FN+N577+mgxGkO4gYSiBEBWMx16NBBW6YgXlwiKV4//vhj3TfcW06cOFGuv/76GFFktSRAAolGgIobF47ovHnzdKrh7du3S4ECBVzYA/eIjCBz5cqV0wHwkOWGhQQ8CfTu3Vs2bdqkFaiZMmXy3MXPFhMw42wg7WqVKlUsrt2d1VFZE3zcwAjB+3fv3i1r166l8iY4MoHSpm3btoJsi6tWrZKsWbOGcBYPIQFrCMAa5aWXXhJY2XTu3NmaSh1WC1KJP/PMMwKrwHfeeUcH43eYiBSHBEjAgQSouHHgoAQS6dNPP5U777xT4L5TrVq1QIdyn0UEPv/8c/2giKwadevWtahWVuN2AlOnTpUBAwYI3DDy5Mnj9u64Qv65c+fKo48+KlBaJ2uMACprwv9XRTw4uCVQeROcHZU2wRnxiNgQgGseFDWwSEEg7KJFi8amIQfVioUIBFBHDKnHHnvMQZJRFBIgAScSoOLGiaPiRyYECYT1x8CBA+Xhhx/2cxQ3x4IAJleY7W7ZsiUpbiZiwTCR6ty8ebMOkIj4UgjcyRI/Avj9W7p0qb4WkWo1GQqVNdGPMpU3wRn+888/0q5dO1raBEfFIywmgPvbZs2aSZYsWXQmpquuusriFpxb3WeffSZNmjTRi7KjR49mTEXnDhUlIwHbCVBxY/sQhCYAbjpr1qwpJUuWFESkZ4k/AZjtvv322/LJJ58I3WLiz98pLR4/flxuvfVWGTlypI4B4RS5kkUOKDGaN28ul19+ucyaNSthu01ljfVDi3m0S5cusn79+qRZ0Q+V4smTJ6Vly5YCFw7EtKF7VKjkeFy0BL799lt9f9u0aVN59dVXkzKeEtzyW7RoIRkyZNALE5jfWEiABEjAmwAVN95EHPp91KhROrI+3DKY4ci+QYKrFJRnr7zyin1CsGVbCeDhBquCCJjIYg8BBEwtUaKEznQDJU6iFCpr4jOSiKGBtMJQ/CEAfbKXL7/8Uq/4IwD4hAkTJGPGjMmOhP2PEwEobWrUqKFdGWFNmczl77//lnvuuUfgMgarUipvkvm/gX0nAd8EqLjxzcVRW7/66ivtIrVhwwYpVaqUo2RLNmGQ3QZjgEmVAVKTbfRFEGPlqaeekn379nFF2ubhR6YguC/u379fcuXKZbM0kTdPZU3k7KI5c8WKFdotCA+Ljz/+eDRVufpcXEdt2rTRgVKffPJJV/eFwruLAJU2aceLypu0TLiFBEjgfwSouPkfC0d+QqBAKAgaNGigY9s4UsgkEwpBaZHxYM+ePZI5c+Yk633ydvfYsWPaygMZIGrXrp28IBzUc8T6govH/PnzHSRVcFGorAnOKB5HIPA8YkvcfvvtMnbsWMmZM2c8mnVEG3hAREDU8ePHy4wZM3TMLkcIRiGSgsDhw4elcuXKtLTxMdqm8gbvUDBfeumlPo7iJhIggWQkQMWNw0cdcVXwUIIo+/B9ZXEGgUaNGknBggUZb8gZwxEXKeB/f/3118uYMWPi0h4bCU7gzJkzOt7Q0KFDpXXr1sFPsPEIKmtshB+g6dOnT0vv3r11zJtx48bpAKkBDk+IXYjTBms1KKqwEFGgQIGE6Bc74Q4CiKNUtWpVHYx3+PDh7hA6zlJCaYMFoltuuUXwu8RCAiRAAiBAxY2D/w9++OEHvcIPpU3x4sUdLGnyiXbkyBE9JqtXr5YyZcokH4Ak6/GSJUt0qk5kf0iWTEZuGeK1a9fqINHffPONjj3kJLmprHHSaASWBQF5YcGFeBtIAJAjR47AJ7hw74ULF+TFF1+U1157TYYMGSI9evSQdOnSubAnFNnNBO677z45e/asYF5Nnz69m7sSU9l//fVXnbWyT58+0r1795i2xcpJgATcQYCKGwePE1bEEAT1rbfecrCUySsaglsiHfQHH3yQvBCSoOdwV0QgXMTCuP/++5Ogx+7rItxdEHsKD6N2Fypr7B6ByNuH292jjz4qK1eulH79+umHpUQJ1Dtv3jzdp2uvvVZb2RQuXDhyUDyTBCIkgN/oOXPmyNatWx2naI+wSzE9be/evVK9enVteV+rVq2YtsXKSYAEnE+AihuHjhF+rKtVqyZff/215M6d26FSJrdYMPctUqSITJw4kZlJEvhfAVlWEAdi586dXJ126DgjVgky4iA7znXXXRd3KamsiTvymDYIK1cEIUcw+hdeeEEH73WrZQpSn6MvUEohNhtSDrOQgB0EsMgFa5tt27ZJoUKF7BDBlW0uXrxYWwMiKQIUrywkQALJS4CKG4eOff369fWDyKBBgxwqIcUCgSlTpsgbb7whiBlAk9/E+5+AOTdWpqdPn86AxA4f3k6dOskll1yilWzxEJXKmnhQtrcNZA98+umn5bLLLhNkXGrZsqX+bK9UwVvH/yZcCEeNGiW7du0S3Ed07tyZQU6Do+MRMSKAWFK33nqrIG5jq1atYtRK4lb7yCOPyM8//6zdyxK3l+wZCZBAMAJU3AQjZMP+Dz/8UK/wHTx4kPE0bOAfTpNwo4GLRt++fXVq2XDO5bHOJ4B4EBs2bJBVq1Y5X9gkl/Cnn36Sm2++WbZv3y7FihWLCQ0qa2KC1dGV4jd+1qxZWkGPTDiIg9O1a1cdqNxpgiNY99tvvy2jR48WWIR269ZN8MAHl2sWErCTABTrv//+u8BljyV8An/88YeULFlSnn32WWnfvn34FfAMEiCBhCBAxY0DhxHpv9u0aaNvuBwoHkXyIrBs2TLp1auXHDhwgFY3Xmzc/BU3SjfccIOsW7dObrvtNjd3JWlkf+aZZ+S7774TpGy3qlBZYxVJ99eDuBwIXAzXhbvuukuaN2+u02hny5bNts6dP39esNizaNEimTt3rpQrV04HHW7cuDHnI9tGhQ17EkDg7wcffFAQ3B+ZzFgiIwC3x2bNmglcppDhkoUESCD5CFBx47Axh8tN3bp1BSt7mTJlcph0FMcXATzYYaV/xIgRgptllsQggFVrPAzB5YDFHQSQ7Q2ubbBWjCbWDZU17hhvu6Q8duyYzJw5UytwEPsKqY2bNm2qf//z5csXc7FOnDgh77//vm4f7/nz59ftY8EHcxELCTiFABSLsIDE/RHjK0U/Kgiejt8fKGlZSIAEko8AFTcOG/OOHTtKrly5tB+ww0SjOAEIYBV2+fLldKkJwMhtu2655RYZOnSofiBym+zJLG/r1q2laNGi2qQ8HA5U1oRDi8eaBJCyF1aXsMJB8NWsWbNKmTJlUl533HFHVAFFT506Jbt379bB0Xfs2KHfETS5QoUK+rfp7rvvZqBXczD47jgCI0eO1HFZ4HLMEj0BBBnH4gQUtmXLlo2+QtZAAiTgKgJU3DhouH777Te9cgZzUqygsbiHAGIL5M2bV8fXwEMji7sJwMoGPvmHDh2iu4HLhnLz5s1y7733yvfffx80GCuVNS4bXIeLi3g4mL9hhWO+kCESBdlg8uTJo19wc7jyyislQ4YM+oXz/vnnHx2XBlZjCEKKFz4jQDosFkxlEB7W4LpJi1yH/zNQPIHSEdmjVqxYoRWNRGINAVgvwf0MbtwsJEACyUWAihsHjffwuVkqKAAALt9JREFU4cMFDx1LlixxkFQUJVQC3bt311ltkGWKxd0EsIqN9NIIOs3iPgKlS5fWKZB9ZS+hssZ94+lmiS9evCiwyjGVMaZCBjG0Lly4IFDaIBsalDiXX355KgUP3P3wwj4WEnAbAcyf33zzjcyfP99tojta3r/++kuKFCki48aNkwYNGjhaVgpHAiRgLQEqbqzlGXFteJi48cYbZcKECVKnTp2I6+GJ9hH44osv9MM+sttcccUV9gnClqMiADcExImAxcbVV18dVV082R4CkydPlmnTpsnGjRu1AFTW2DMObJUESCA5CRw/flwKFiyo09FDycBiLQHMb3DR37Vrl7UVszYSIAFHE6DixiHDs23bNp2hAg+N6dKlc4hUFCNcAuXLl9cr/cg2wuJOAqNGjZItW7Ywbak7h09L/eeff+pYYQsWLNBxp/CO31UEx4QbFeKD8HfWxQNM0UmABBxNAPHhtm/frgP8O1pQlwoHaz0EQsfcVqlSJZf2gmKTAAmES4CKm3CJxeh4pLH9/fffZcyYMTFqgdXGg8BLL70ksLyZMWNGPJpjGzEgUL16dXn44Yelbdu2MaidVcaLQKNGjbQLCmIsUFkTL+pshwRIINkJwP0PFuRTpkyRWrVqJTuOmPV/8ODBcuDAAZk9e3bM2mDFJEACziJAxY1DxgOuGa+//rpOBe4QkShGBAQ+//xzqVKlivzyyy+MSxABP7tPgXn3DTfcoIOCXnXVVXaLw/ajIDBp0iRtNbVq1aooauGpJEACJEAC4RBYtGiRDBgwQAfqDuc8HhseAQQvv+mmm+TgwYNRZa4Lr1UeTQIkYCcBKm7spP9f219//bWUK1dOBzC89NJLHSARRYiGgBk07s4774ymGp5rAwH4jc+cOVOQVYrF3QSgPEV2vmPHjukUze7uDaUnARIgAXcQQJzGZs2aSbdu3dwhsIulRAD+EiVKaEWZi7tB0UmABEIkQMVNiKBieRiySX366afyzjvvxLIZ1h0nAn369JHz588Ls0vFCbiFzSCbFEy7e/bsaWGtrMouApUrV9Zj6Su7lF0ysV0SIAESSFQCsFrNmzevHD16VGi1GvtRXrlypc5+uXfv3tg3xhZIgARsJ0DFje1DIFKjRg3p0qWLtG7d2gHSUIRoCWzatEkeeOABbb4abV08P34E/vnnH8mWLZvA3Q2WGizuJwCl+P79+2X69Onu7wx7QAIkQAIOJzB16lSZNWsWrVbjNE5YJMyVK5fs3r1bxxWKU7NshgRIwCYCVNzYBN5s9uLFi9qM/7PPPuPDognF5e9//fWXHlP4HzOdtHsGE1ZvCGiLdO4siUEA6cA7deokX331VWJ0iL0gARIgAQcTaNq0qcBVqkePHg6WMrFEQ/D9ihUrSu/evROrY+wNCZBAGgJU3KRBEt8NUNjUrFlTB7ONb8tsLZYESpcuLUiHWa9evVg2w7otJDBx4kRZsWKFLF682MJaWZWdBJAWHOb6v/32G+Pc2DkQbJsESCDhCZw9e1Zbf3z55Zc6yH/Cd9ghHYSF04QJE2T9+vUOkYhikAAJxIoAFTexIhtivW+//bbMnTtX3nvvvRDP4GFuINC5c2dtQdW/f383iEsZFQG4KyKjFLJhsCQOAQRufPPNN7WCPHF6xZ6QAAmQgLMIvP/++/L0009rtx1nSZbY0pw6dUpy586tFyiyZMmS2J1l70ggyQlQcWPzPwDMSeFO89xzz9ksCZu3kgCtN6ykGZ+6aCUVH87xbuXBBx+Um2++WZ566ql4N832SIAESCBpCDz//PPy888/y7hx45Kmz07pKOY4cK9evbpTRKIcJEACMSBAxU0MoIZTZYUKFQRWGY0bNw7ntFTHXrhwQXylEf/333/lkksuSXUsv8SHAOKlYEwPHz4cnwbZSlQEEOAva9as+qYzmrhEvBajGoaYnDx69GhtQv7uu+/GpH5WSgIkQAIkINKkSRNBjJuHHnoo5jg416ZG3L59eylVqpQ88cQTqXfwGwmQQEIRoOLG5uG84oordOBMpE8MpyBmw8CBA+Wjjz7S52fKlEngEtC9e3fBDzgeVrBv3rx54VSblMdu27ZNihUrpjMKWQUAGYouv/xyOXbsmOTIkcOqallPjAjs2bNHK9p++OGHsFvgtRg2Mr8nxOJa3LJli3Ts2FEQd4GFBEiABEggNgTy5MkjSE8NBUIoZfz48fowLDymS5dOv7ABi45I8lCtWjW59dZbU6qyY67Fos7HH3+ss7+mCPLfh0jmq19//VUv6N1+++3e1UX1/Y033tByvvPOO1HVw5NJgAScTYCKGxvH5+TJkzqQGyaGcCxjYM3RoEEDyZgxo4wcOVIqVaok586dk9WrV8uQIUMEVjxr167VE82SJUts7KF1TW/YsEHatGmjrZO6du0asGJM7i+++KIsXLhQfv/9d8mQIYPUrl1bxy4pXrx4mnOvueYageLsrrvukuzZswuUYOnTp09zHBQxSPONG4xQCurETYznjUco5/GY+BNAUGL8z+AhP5ySLNciFJEjRozQwZvR58suu0wKFy4srVu31rGBoID2VZYtWyavvvqq7Nu3T/A7V7BgQb0aCxdRX795sbgWoYzDdX/mzBlfInIbCZAACZBAlASQjfGmm26S06dP63uuUKp79NFH5eDBg4KFE7hYoeD+qmzZsnLttdfK/fffL/fdd5/ebtdc26tXL3n99dcFGWC97/0ima/Gjh0rjz/+uLRt21bPobiv9GUxj05XrVo15PtHKJfatWuneWpg/EMCJJCYBAwW2wjs37/fUCsUYbWvViEM9RBiqEwphpro0pyr0t4aajIx1H+rocxW0+zHBpXJyhg1apTPfVZsVMojQz0sRVWVslQxlGuD8fLLLxtq8jLUhKn7hO+BynfffWfceOONhgrUZihljz70wIEDhlJuGZkzZzaUIiXV6UrJo+sFr2CvXLlyGWolKNX5gb6omw9DBesLdAj3OYSAyshgNG/ePCxprLgWrbhW/Alt1XWuAh8a+F9WihpDxeIylCWf8dZbbxm4HnDNVKlSxVBKkTRiqHgHer9StBqoQ5m2G2PGjDGUwsZQ2db0d8+TYnUt/v333/r3Qz1QeDbHzyRAAiRAAhYRUIuFhrIiiag2pdhPuf/CfOJdrJhrvesM5fvmzZsNtYinZfO+94t0vurZs2dKX4PdcyormlDE1MdgDsZ9slogCfkcHkgCJOA+AuI+kRNH4lWrVhllypQJq0Nz5szRP/p9+vTxe97GjRv1Mf4UN8qU0lABzPyeH+2OokWLGuvWrYuqmk8++cRQwWKNhg0bGmq1wyhQoIDuUzDFTd26dfVxeLj0LCdOnDBU7BKt0FGmqim7Nm3apI/H5HzllVca2bJl00oxKMbMlzm5KguelPNC+aB8vY3JkyeHciiPsZnA4MGDDdxQhVOsuBatuFb8yWzVdd6pUyfjuuuuM3755ZdUTamVUkPFBdLXD5SrngU3vLiJrFmzpqFWKj13aeUPrikogTxLLK9FKHK/+OILz+b4mQRIgARIwCICKkOq0ahRo4hq+/PPP/U8gnlBufqnqcOKuTZNpUE2KCt2Q2WZTJHLW3ET6XylrL91ncpiXs+f5n2m5zs44NkAiw7hFJVRysDiJQsJkEDiEqDixsaxnTp1ql+rGH9iPfnkk/pHX7l1+DtEb8fKhz/FjTLTjJni5vjx44ZyTYpacePdudtuu033O5DiRrm56GNgceOrdOvWTe8fNmxYym6V/ckoX758mtV/8wBM3srVycDDa7jlkUceMWBRweJ8Ag8//LAxdOjQsASN9lqM1bVidsKK61y5c+prBhYyvqxqVKYmvR83mrD2M4upQMXNvHeBpSCsbqD08bwxjeW1iN+PDz74wFsUficBEiABErCAAObPzp07R1RTMMVNtHNtJEKptOaGctdKmd+8FTeRzlfXX3+9sXTpUr8izZw501Cux6nmU78He+3AQhDug1lIgAQSlwAVNzaOLZQvcCMIp6gYK3oigetCoIK6fSluYHIK96xYWdzAtBMPcdFa3Hj3LRTFjQrWrNvGQ7ivggkRsnn2vXfv3mlW/j3PhRWG8ts2/vjjD8/NIX2G0gbKG5b4Ejh79qwBpai3hUggKWDZ5UvJEOicaK/FWF0rkNmq6xzKDlwzeEFJ411gNWjuhxsUCm7CsZqI7Srugfcp+jvcrrDf83cilteiiglmzJgxw6cs3EgCJEACJGAYX3/9tTF//vyI3G1wr/Tss89GhDGY4ibauTZcoXbu3GmoeIdawWLOb96Km0jmKxVzUc+N/tyZDh06pBc04LodSYGFK8aPhQRIIHEJUHFj49iqoGcGXDTCKfhBNyeSN998M40bglkXHohUhinzq36Hy4IK9qbP91RepDrI6wseghGLBxOKt8uD16HGrl279EqB9wOZ93GRfA9FcVOuXDndtwEDBvhsYs2aNXo/LIIQcwNl7ty5hgqM5/P49957z1BBWI0dO3b43B9sI1Zkwo2bEqxO7g+NwIcffqjHOmfOnMbixYv9WlSZteF/J9x4RNFci5FcK6Fei5Fc5yYH7/etW7dqjrimH3zwQe/dxvbt21P2q0CTej+uGxwPVynEtfFVKleurI/xdPmM5bWoskoZKpC7L1G4jQRIgARI4D8Cffv21b/NKvC8vqcLFQzudVSWqFAPT3VcMMVNNHNtqoZC+AIr0JIlS+p4bLt3706Z37wVN5HMV1hMeu2113xKoRIA6FiMd999t8/9oWxUCTyMcOLihFInjyEBEnAWASpubBwPWGO89NJLYUmAQLtmoF48HCHoLjTswawLVCR7AyaaOAcvxHJBXArzpdKHp5Lj6NGjBiZuHKeyVBmFChUy4D/br18/vZrveTBixtSqVUu7P5j1Y+Iz68Y7HjqjKaEobsxVfn8TIxQ0pnwqAn9AceDGAjPZYC5pgSqBBUfjxo0DHcJ9MSTwyiuv6PFG/CL876pMRsbevXt9tqjSl6ay/vB5kNfGSK7FSK6VcK7FcK9zry6l+QolEH4bYG3z448/ptk/e/bslGvKVIzAZB7XGXz2/ZVmzZrpY+CCFaxYcS3CsjFcV7hgcnE/CZAACSQaAfzmFylSRP8+q2xHOtkDftuD3WMidsu8efMiwhFMcRPJXBuRIOokxF7DwiY4BFLc+Ks/0vnqhRde0LHkcH6kBfc4dM+PlB7PIwF3EKDixsZxQtyU4cOHhy0B4ryYCgjP92LFihlY9f7yyy/T1Ll+/Xpj2rRpetUc56i0vPo7tuHlGbgTExYUJbBWMCcRbDNdkWCd4Ln6APNPsx6Yl6J+mJGa27AygfOjKcEUNzA9NVmYLhve7aGP5jHBrCvwoAeXMn8mrd51+/qOh1qVYtzXLm6LEwGYbqt0m3rccRMKCyrclMJaDVkhzHLLLbcYCDYYbgn3Wgz3Wgn3WgznOg+3r76ONxUwUCZ/++23+pBnnnlG80ZAYH9FpXjVx0ApHKxYcS3ihhZZrlhIgARIgAQCE4CrLYLjYr7EPRMycsJSuU6dOn4tWKHsWLRoUeCK/ewNprjBaeHOtX6aCrgZ2a2w4ABFEUokiptI5isEFM6UKZO+LwkoYJCdsOIfNGhQkKO4mwRIwM0EqLixcfTgevDqq69GJAEejhDg01REeL7jIWr69Ok+64X7Do7FJOuveE5WU6ZMSTkMyhoE6sX5/uKBmFY9nrErUiqI4kMwxQ0sGUwG48aN89kS/LfNY5Bq3F+BaxjYegYx9ndsoO1o44477jCgMODLPgbmmPt6hzUOxgaKzGBWWP7GOtJrMZRrJdJrMZTr3F9/Qt0OCzbczIMrgkeaBS6a2AaLNX/FdNmEwixQsepaxA0t/P95Hdp3HZI92fN/wD3/A+Zvu695E9twj+Q5nrCyXrZsWaCfc7/7QlHc4ORI51q/DXvsgKsSYkfCUtcsnvOv52Klud/7PdL5qlWrVjrrKThEUzAP9+/fP5oqeC4JkIDDCaSDfOpHmMUGAiqIrqgo8KJ+bCNq/ZtvvhFlmioq9bWoSPKisr6k1KMmXVGR66V+/fop2/Bh0qRJgnaV4kafl2rnf1+UgkOU9Q6UeqKsZaRly5Yphyn3LlGKEVEZmkS5UKRsNz/kzZtXVEBSUYobqVGjhrk56neVJUvUJCpq1UWUD3aa+g4fPiwqdaPeDvm6dOmS5hi1iiLK2kJvV+klRa36pzkGG1RQZ1HxcES5qIhyFfN5TCgbVTpmUVZHooKihnI4j4kBgVmzZom62RNlOaVrV9Y3olYRRfmCi1IeiAo8rbfjf1UpO0TFXolIikiuxVCulUivxVCu84g6+t9JakVW1E2uqBtV/VuyevVqzRW7lSWhTJ48WZTiRo4cOeKzGfBXFmn6d0ZZwvk8BhutuhaVJaK+llUATb9tcQcJkAAJkICIsvSUtm3birJC1XMn7ifVIofky5dP/76rOCyirKtToWrRooU88cQT0rRp01TbQ/miXOlFZVLSh6p04KIWBv2eFslc67cyjx1KYSMq7IC+l0ZfUdTihKhFQ/1ZKW40A/3Fz59I5isV706UdZOoLFai3Hn91BzaZmXpLsotXJS7V2gn8CgSIAH3EXC4YimhxYNJZbgxbvwBwWoB0gAiLo36L9QvuIR4l1BX4hF0dMOGDSkuTgjmi3S/yNiE+hEEzVcJxYrA13nBtgWzuIF8Zr+94/WYdXu6Si1cuNDcnOr9hx9+MGCFEcgiKdUJAb7A6qlRo0YBjuCuWBJYsmSJ/p8wVwYxFgici2vFu2C1UClAvTdH9D3UazHUayWSazHU6zyiDqqTHnvsMc22WrVqaTKuwboF12KuXLn8Vm+6SoG7v2LltWjlb60/ebmdBEiABBKBgFLC6N9wxA3MmjWrdsGHG1GggjiHsYpx46/dUOdaf+eb22GNjXiOsJjxLOFY3EQ6XyFkAuZLK6zU6RLsOXr8TAKJSYCuUjaOK+LRIBBaOOXTTz9NiTvj7zyYSppKjJ9//jnVYeE80CElIrK+wJ0BD7/KOshQVgK6brg6+CqhPoz6OjfQtmCKG8QCMYM2+wtOjBsPk8vatWt9Noc4GDgGqS2jLcrqwbjnnnuirYbnR0DA84YLirwTJ04ErAX+/MpqJOAx3jujvRbDuVbCvRbDuc69+xXsOxSSuNaUNV8apQ3ORVwhXEOBghMjAwmOqVKlit/mrLwWH3rooVQm8H4b5Q4SIAESSGICr7/+uv5tVlbOOh22v8yA3ogQ7wz3PJGUYK5S0c61gWTCvSMSaPgK6ut5HxHMVSqS+eqPP/7QiRMwF3rG3Askb6B9ylrJGDVqVKBDuI8ESMDlBKi4sXEAMVF4p+wOJo5yWzKUG0LAwxBQ11SwKJegVMf6e6DDaoFZsIqBjFd4OEOwYUzk586d07uhaMIkE47iBgFZ8YqmBFPcoO4cOXJo2RBE2VeBRQVkxws3Ar4KLACwP1yFmq+6YE2lXLZ87eK2GBJABjPcvARbIfQUAUqImTNnem4K+jnaa9GX4sb7Won0WgzlOg/aQR8HIKg34hp06NDBb6pvpCPFNYTfD8jvqyjXNH2MMqv3tVtvs/JaRHY3f3G5/ArAHSRAAiSQRARgeYLA/YgZGG5R7vMRB4APpriJdq4N1BfEIsR8hcyJAwYMSPUyLcyxHxlVsX/58uU+q4tkvoLlN+rGwigUSNEWWD0hGQgLCZBA4hKg4sbGsYUCBqsU4ZR7773XUL6wQU8xs714m676e6BD9gCzICo9JhPlc2xgIvcs3oobTPCeAdV8PYxiBT5al7BQFDfmKn7nzp09RU75rGLO6H7BEsDXAyXcreAmhb7j4TPaArNVKxRA0crB84MTgEVGuBneor0WQ7lWIr0WQ7nOg1NJfcSOHTuMK6+8UmeMS73H0EHWcVOL4mnZ5m3xZ54H6z1cZ56BIM19eLf6WkSQcBW3yrMJfiYBEiABErCIANJZwyU1khJMcRPtXBtIJrgodezY0eerUqVKep7CXIVkIjjOV9bSSOcrFRNI149FRyvKzTffbGzcuNGKqlgHCZCAQwlQcWPjwKxcudIoX758WBJgAitUqFCqdNy+KkAGFUw2iEvjWaAswnbEpjCLCmqsUyab36+++mp9DCL4excoRXC+aXHToEGDVL65KkCw3v/hhx+mnIrJKdoMTaEoblQQYN123bp1U9r2/AALJ8gOBY+vggc77McrXOsLX/XBTQoP0CzOJwArLcRmCadEey2Gcq1Eei2Gcp2H09eDBw8aSO/t6zcB9eB/ffz48SlV4jcK1xHibnkXWAQivSz2+7OKsvpavO6664zPPvvMWxR+JwESIAESsIAAMpCq4LwR1RSK4iaa+96IhFInwWLdvCcM5CoV6XylkiHo+gsXLhypiKnOQ5weFbw51TZ+IQESSCwCVNzYOJ5IpwuXpnAKHhYxkQSyujl06JCBoHLwUfY2v0RwVpyPSdAsmHQqVqyov8Kf2UwD6b2ygInrxhtv1OcjuCgKXB4QxNgs5cqV0/uhRDELJqdVq1aZXyN6N81QVdR9v+cjjgncOGA9hBUQ71KhQgUtGyxvfBWVAUrvBx9/5rC+zvO3De2tWLHC325udxCBsWPHGjDHDqdEey0Gu1aiuRaDXefh9PPYsWNG/vz5DQQ7V1m6Ur3gfjRy5EitiPH8HUBaUlxHMD/3LnC3wj5Y3fgrVl6LsK6DJd3Jkyf9NcftJEACJEACURDA7zpixUVS8NuMOQEvpMb2LtHOtd71hfod8dxMuVQmRb+nRTpfFShQQNcfKTdPgeAiDlnNsAae+/iZBEggcQhQcWPjWMLNCEoSb+VKIJHMCQw/0HDv+OWXX1IdrtLvGlAY4EHl448/TrUPXzBBIksAzkfMFzwcwgTUcyUdFivYD8XP8ePHdR04TqUaNOrVq6djV+BBDlmaYBHg6Q9tunbceeedul9Y5YZ7BYKwhVPQHlYOEOV/wYIFKSv0CCK3efNmbUnkK5ibaVUDf2vPApcx9Ak+wP4K3DZwDF7RKprQhkqd6TeWjj8ZuN0eAshAFShQri+por0WQ7lWIr0WQ7nOffXJextWQuFmZF4Xgd49fwfwu6TSgetMHZ7ulrj5RX2If7N+/Xrv5lK+W3ktHj58WP9+pFTODyRAAiRAApYS+Pbbb3Wg3UCWKd4Nfvfdd9oSEm5W5tyCeQOLAJg3TCVEtHOtd7vBvqMvCEwMCyJTLsR6/Pzzz33ey0Y6X+HeGPWbC6fB5Aq0H67MsOJlIQESSGwCVNzYPL6wjIGyJdSCCaxs2bLGgQMHdCR8KH5g9QLfYkwyiN+Cic9f1iS0g0kRSgVYp+TJk0d/xgRqFihr2rZtq612YL1Sp04do1SpUjoFONwc4FaCBy+8EL/Gs0Drj8DGmIxQN9rAA2q4BbExMmXKpG8E4P8LBVHOnDn1OwImI/6Orwdt3DRgtR+yIfApLCmQvQtyoB+mIsqXPDjWnKQxCUZTIAfYeSvWoqmT58aOALI2FSxYMKwGor0WQ7lWorkWg13noXTWtNwxrwt/77g2vQsCgMOyD2nBEeMK2d5gOYdr15/Vm1mHldfitm3bDKtM0U35+E4CJEACJJCaAOYBKDdCLTfddJNe2MM9He7x8ML9Hu5jcf9nZnqKdq4NVR7zOFiWY54y7z0hF2TC/bqvjKORzlfXXHONvuds1KiR2XTE75CBWUwjxscTScA1BNJBUnUzzmITgdKlS4ty/xFlyRKSBLNnzxaluBE14enj1Wqy7Nq1S78wlMr9QpRViqhJJmB9aiVDlDWLKEWMPkcpGdIcrzLciFr1ELXqLsqKR9REmnLMTz/9JGoSEzVRp2zz/KCyVOlzlXuFKCWR5664fFbKMFGmu6IeHkXdFIiytNFclELHb/vKKkhUgFpRk7QoZY8EOtZvJf/tUJZGoqyORLmZBDuU+x1AAP/juGaUokSUn3hIEll1LYZyrUR6LYZynYfU2QgPUm5KsnXrVlGp1gXXF34PWrRo4fd3w2zGymtRxZkS5bIoixcvNqvnOwmQAAmQgMUE7rrrLmnTpo20a9fO0pqtmmstFcqjskjnK8yLeD3wwANSokQJjxrD/9ipUydRCyWirOfDP5lnkAAJuIYAFTc2D5UK9qsVGyoji82SsHkrCSifZ1FpJkVZLFhZLeuKIQHcOKlsYlrhFsNmWHWcCfA3Ns7A2RwJkEBSEsB97OnTp/U8mpQAbOy0sooX5bIlyrLcRinYNAmQQKwJUHETa8JB6udqcBBALt2tUoFryx2VDtylPUg+sVWsJ1HpNEUF1E2+zidwj8O1akxgFOwaCZAACcSMgIoVJ8otVpR7aszaYMVpCcBiGJblsPDGOwsJkEDiEqDixuaxhStP48aNBS5PLIlDAK5l/fv312ObOL1K7J6MHj1aVMBcbSmV2D1Nnt7BFTRLliwC10m4QLKQAAmQAAnEhgCsbVTcFvn+++8ld+7csWmEtaYhoBJ4yLBhw2T79u1p9nEDCZBAYhGg4sbm8VTZk0RleRKVwluuu+46m6Vh81YQ4JhaQTH+dWCVUKUiFZVRIv6Ns8WYEOCYxgQrKyUBEiABnwQQr1EFExbEXGGJD4H27dtLsWLFpF+/fvFpkK2QAAnYRoCKG9vQ/69hlQpQu2c0a9bsfxv5ybUEVIYiwVj++OOPru1DMgoO6wwoUREsGKuGLO4ngJhFmzdvlrlz57q/M+wBCZAACTicwJgxY2TlypWybNkyh0uaGOIhAQDuV1QWSSlevHhidIq9IAES8EuAihu/aOK3A3FQYFo6ZcqU+DXKlmJGQKU/164ZiF/E4i4CXC1013gFk7Z27do6ywniF7GQAAmQAAnElgAyjiLr6a+//ioqpXZsG2Ptsm7dOunSpYvO4kocJEACiU+AihsHjPGePXt0JPijR49K+vTpHSARRYiGAKL7I0Bfw4YNo6mG59pAYOzYsToTGFcLbYBvcZOnTp3S7qewfMuZM6fFtbM6EiABEiABXwQqV64syObXoUMHX7u5zUICcEnLlSuXDB061MJaWRUJkIBTCVBx45CRKViwoEyfPl2qVq3qEIkoRiQEEB+lZMmSerUpU6ZMkVTBc2wkwNVCG+Fb3PSsWbNk/Pjx2oTc4qpZHQmQAAmQgB8CM2bM0CnBd+zY4ecIbraCwIkTJyRfvnyyf/9+KVCggBVVsg4SIAGHE6DixiED1KtXL7nkkktk5MiRDpGIYkRCYNSoUTqmxvz58yM5nec4gEC5cuWkb9++0rx5cwdIQxEiJYAAmYgf1rt370ir4HkkQAIkQAJhEkC8OCgUli5dKuXLlw/zbB4eKoERI0bIxo0bNedQz+FxJEAC7iZAxY1Dxu+jjz7SUfgPHjzoEIkoRiQEqlevLg8//LC0bds2ktN5jgMIwM3tiy++EKwasriTAB4c4B4FN9Qbb7zRnZ2g1CRAAiTgUgL9+/fXgf45j8ZmAC9evCiFCxeWcePGSd26dWPTCGslARJwHAEqbhwyJP/++69cf/31smjRIr1K7BCxKEYYBBBgGlH9EVMje/bsYZzJQ51E4Ouvv5ayZcvK4cOHJUuWLE4SjbKESODdd9+Vl19+WT755JMQz+BhJEACJEACVhHA/IkU1V999ZW+t7WqXtbz/wQWLlyo039jkSldunTEQgIkkCQEqLhx0EAPHDhQDh06JIjNwOI+AnCvQSYFZgdz39h5S4xsREjp3r17d+9d/O4CAogV1r59e2395gJxKSIJkAAJJBwBZDtCuurJkycnXN/s7BAWekuUKCF4Zrj//vvtFIVtkwAJxJkAFTdxBh6oOQRGLVKkiFbeXHPNNYEO5T6HEfjrr78kb968smbNGrn99tsdJh3FCZfA4sWL9WrW559/Hu6pPN5mAnCPqlmzpraYypw5s83SsHkSIAESSE4CR44ckaJFi8rHH3+srZGTk4L1vZ4wYYIOvL9z505a21iPlzWSgKMJUHHjsOFp2bKl1qQPGjTIYZJRnEAEYGUzadIk2bJlS6DDuM8lBLCiVahQIT2msL5hcQ8BpEe96qqr5JVXXnGP0JSUBEiABBKQAKxCdu/eLcuWLUvA3sW/S2fPntWxbZCFlvcm8efPFknAbgJU3Ng9Al7tb9iwQVq3bi2Il5IhQwavvfzqVAKlS5eWPn366LFzqoyUKzwCw4YN0yuFsL5hcQeBkydP6mwmDErsjvGilCRAAolN4MyZM3oR5J133pFatWoldmfj0LvBgwfL1q1bZdWqVXFojU2QAAk4jQAVN04bESVPqVKl5KmnnpI2bdo4UDqK5E1g/fr10qpVK51B4dJLL/Xeze8uJfDbb79JgQIFdIDbm266yaW9SC6xhw4dKps3b5bly5cnV8fZWxIgARJwKAFkloLCYe/evXLllVc6VErniwXLJWQu3b59u3ZBc77ElJAESMBqAlTcWE3UgvoQLf7JJ5+UL7/8Ui677DILamQVsSRQsWJFHSCuZ8+esWyGddtAAFZUsH5DliIWZxM4ceKENiFHalT8fpYpU8bZAlM6EiABEkgSAnfffbdce+21On11knTZ0m5euHBBz2kdOnSQ3r17W1o3KyMBEnAPASpuHDpWlSpVkvvuu08ee+wxh0pIsUBgwYIFgmxSSMlIa5vE+5+A603hwoVl5cqVUq5cucTrYAL16IknntBWb7BYHDVqlECh+uyzz1KBk0BjzK6QAAm4k8CxY8d0/MbZs2dLnTp13NkJG6VGrKCPPvpIYOGdPn16GyVh0yRAAnYSoOLGTvoB2t60aZNOR/zNN99I1qxZAxzJXXYRQJrL4sWLy/PPP6+VbHbJwXZjS2DEiBGyYsUKfdMU25ZYe6QEYBWF9KgwJUdQ6dOnT8sbb7xBBU6kQHkeCZAACVhMAJarULDv2rVLcufObXHtiVvdxo0bpXHjxpob5jcWEiCB5CVAxY2Dxx6mpVAMvPjiiw6WMnlFGzt2rCCbFPyN06VLl7wgErznSPVepEgRwXg3bNgwwXvrzu61a9dOsmfPrpU1nj2gAseTBj+TAAmQgL0EunfvrhXs69atYyiAEIYCixKw9sVCBKzwWUiABJKbABU3Dh5/uN+UL19e9u3bJ/nz53ewpMkn2qlTp6RYsWKCTAk1a9ZMPgBJ1uO3335bhg8frm846RLnrMHfuXOnTot64MAByZUrl0/hqMDxiYUbSYAESCCuBGCpXK9ePX1Pi4UvFv8E/vjjD6lcubI0adJEhgwZ4v9A7iEBEkgaAlTcOHyokV3qk08+kTVr1tCqw0FjhQBxCBYHf22WxCdw8eJFqVGjhs7owBso54z3+fPn5Y477pCuXbtKjx49ggpGBU5QRDyABEiABGJKAIHksSj5yCOPMNCuH9KGYcg999yj7/sRS5FW3X5AcTMJJBkBKm4cPuB4MCldurTAvLRbt24OlzY5xFu6dKl+UNy/f7/kyJEjOTrNXsqhQ4f0tbh27VoGvHXI/8PTTz8tO3bsEIxJODe2VOA4ZAApBgmQQFISgEV51apVtSVrx44dk5KBv05DadOpUydt4bthwwa54oor/B3K7SRAAklGgIobFwy46QqAgG4MTGbvgP322286COqECRN0sDh7pWHr8SYwZswYGT16tLaCy5gxY7ybZ3seBLZu3Sr169fXN7eRupJSgeMBlB9JgARIII4EYE1et25dKm88mJtKG7D54IMPuDjowYYfSYAERKi4ccl/wYABAwSad6QCDGdl2SXdc42YrVq1kkyZMsm0adNcIzMFtY4AbqqQyhRWcIh5w2IPgXPnzsltt92mM5R07tw5aiGowIkaISsgARIggbAJUHnzP2RU2vyPBT+RAAn4JkDFjW8ujtv6999/68jyLVq0EChxWOJPAMqagQMHClyksmXLFn8B2KIjCCDLw+233y5z5szRq4WOECrJhOjSpYtgHN5//31Le04FjqU4WRkJkAAJBCXw6aef6rkUMR379OkT9PhEPACLEQ8++KB89dVXtLRJxAFmn0jAIgJU3FgEMh7VHDx4UCpUqCCTJk0SpApniR+BLVu2SIMGDWT16tVagRa/ltmSEwkgzhFusj7++GOdKtyJMiaqTG+99ZaMHDlSx7bJmTNnTLpJBU5MsLJSEiABEvBJAAqLxo0bS8WKFQWu6MnkivzTTz/pe/rcuXPrTKVZs2b1yYgbSYAESICKG5f9D8DnFVY3cJu69dZbXSa9O8X98ccfpWzZsvphsU2bNu7sBKW2nMDQoUMFacIRa+Wqq66yvH5WmJZAvH//qMBJOwbcQgIkQAKxIHDy5Em577775MyZM7Jo0SK59tprY9GMo+rctm2bNGvWTHBvOWzYMEmfPr2j5KMwJEACziJAxY2zxiMkaRAc9ZVXXpHt27dLrly5QjqHB0VG4M8//5QqVarIXXfdJXhQZyEBTwJt27aV48ePy4oVK+SSSy7x3MXPFhMwLQ4nT54sTZs2tbj2wNVRgROYD/eSAAmQgBUE/v33X50ifN68eTJx4kRp2LChFdU6ro6LFy/qxcAXXnhB3nzzTWnfvr3jZKRAJEACziNAxY3zxiQkibp27Sqff/65dt1BsFwW6wlgYm3ZsqUgvtDixYu5EmI9YtfX+Ndff0n16tWlfPny8sYbb7i+P07tAFZiK1WqJO3atZN+/frZJiYVOLahZ8MkQAJJRAD3XLjPhYv6a6+9JonkPnTgwAF54IEHBHFtYLVL6/kk+sdmV0kgSgJU3EQJ0K7TL1y4oFedsTqxZMkSnenILlkSsV0obTp06CBffvmlfPjhh5IlS5ZE7Cb7ZAGBI0eOSNWqVeXee++lVZYFPL2rgNKmdu3aUqpUKZkyZYr3blu+U4FjC3Y2SgIkkEQEYM3arVs37Y48fvx4qV+/vqt7/88//whitA0ePFgef/xx6d+/v1x66aWu7hOFJwESiC8BKm7iy9vS1s6fP68DmkHJQOWNdWg9lTZr1qxh/BLr0CZsTYcPH5YaNWpQeWPxCJtKm5IlSwpcpJzm/08FjsUDzupIgARIwIvA3LlztfvULbfcIsOHD9dZHb0OcfzXhQsXyjPPPKMXARF8uXTp0o6XmQKSAAk4jwAVN84bk7AkovImLFxBD6bSJigiHuCHAJU3fsBEuNnpShvPblGB40mDn0mABEjAWgJnz57VLlMjRozQcW8QG6ZAgQLWNhKD2jZt2iR9+/aVo0ePyosvvqiDL6dLly4GLbFKEiCBZCBAxU0CjLKn8gaR+DNnzpwAvYp/F2DGihTPcI+ipU38+SdCi6bypnnz5jpDRCL0yY4+wES+Xr164lRLG39MqMDxR4bbSYAESCB6ApgboLSZNGmSniN69uyprV2jr9m6GhAXEcGV4Rb1zTffyIABA3S8nssuu8y6RlgTCZBAUhKg4iZBhh3KG6RR/P7777XbVL58+RKkZ/HpxokTJ3SadUy4y5cvp3tUfLAnZCtQ3kDpUKJECZk2bZpcfvnlCdnPWHVq//790qRJE6lbt66MGTPGce5RofSbCpxQKPEYEiABEoiMwK+//qqzTo0bN06yZcsm3bt318kkcuTIEVmFFpz17bffytSpUwWuUDfccIP06NFDWrVqJRkzZrSgdlZBAiRAAiJU3CTQfwHcfKDZRwBP+NMiCwtLcALIzoUHRWQHGjt2rHBVJDgzHhGYAB7c77//fkHgYsSfyps3b+ATuFcTWLp0qQ4K/vzzzwtWUt1eqMBx+whSfhIgAScTMBN0QIGzceNGqVChgk7ccffdd8fFlWrXrl066yjm+e+++063DSUS5GAhARIgAasJUHFjNVEH1Dd79mwdiR8pFJFykMU/gRUrVugUw4MGDZJevXr5P5B7SCBMAlCkIhjhjBkztCKVN3KBAQ4dOlRGjhwpc+bM0VmkAh/trr1U4LhrvCgtCZCA+wggLhosppFKfNWqVQLL83LlykmZMmWkbNmyctttt0Vl/XLq1CnZuXOn7NixQ79v3bpVMM9j4Q+KojvvvDOq+t1HnBKTAAnEm8D/AQAA//8jcvieAABAAElEQVTsnQn8DdX//99EVJY2QmVNCyp7ZU+kskRFe7aSCC2KiiKKVku2tJC0SEK0KSIpW5KkhZKStZCsofmf1/n+z/3N537uNnefmdd5PK57PzNnzvI8M2POa97n/c5jqSRMniOwbNkyad26tf489dRTcuyxx3quj4l06PDhwzJ48GB57rnn5PXXX5dmzZolUhyPJYGwBF599VXp0aOHPPbYY9KtWzfJkydP2Lx+3LFjxw7p2rWrfPvtt/Luu+9KxYoVPYth9+7dMnLkSBk2bJhcdNFFMmDAAKlZs6Zn+8uOkQAJkEAmCBw4cEC+/PJLWb58uf7gmXjjxo1StmxZKVmypJQqVUp/Tj31VClUqJDkz59fjjrqKMGz4aFDhwT/L23atCnHZ/PmzXLOOefoe3atWrWkdu3aUq1aNf6fnokBZp0k4FMCeSjceHfkt2zZIp07d5a1a9fKxIkTpU6dOt7trIOerV69Wtq3by8FChSQSZMmyRlnnOHgaGYlAecEVqxYITfffLN+YHzppZekTJkyzgvx4BGzZ8+WLl26SNOmTbWgUbRoUQ/2MneXKODkZsItJEACJJBKAhBj1q1bFxBj/vjjD4EYs2fPHi3W/Pfff5IvXz79OeGEEwLijhF5zjrrLDnmmGNS2USWTQIkQAIRCVC4iYjHGztffvll6d27txZxBg0aJAULFvRGxxz24siRIwLroyFDhki/fv3k3nvvlbx58zoshdlJID4CBw8elP79+8sLL7ygz8Nbb701voI8cNTff/8td911l3z44Yfy/PPPS6tWrTzQK+ddoIDjnBmPIAESIAESIAESIAE/EqBw45NR/+2336RTp076TcO4ceOkQYMGPun5/7q5cuVKvRwD4s0rr7wilSpV8lX/2dnsIQDzbVh8wdILS/UqVKiQPY1LQ0tmzpwpd955p7YAHDNmjJx00klpqDW7q6CAk93jw9aRAAmQAAmQAAmQQKYJULjJ9AiksX64Mxo/frx+63/hhRfK0KFDPS9gbNiwQVvXzJo1S/r27astj2AKy0QCmSSwf/9+7d9k7NixWsR5+OGHpVixYplsUsrrXrx4sdx///0CEfnpp5+Wa665JuV1uq0CCjhuGzG2lwRIgARIgARIgATSQ4DCTXo4Z1Ut//zzj16qMWLECGnbtq0MHDhQ4KDNSwlrmeEMFstSOnTooMUqr0+MvTR+fukLRAws24NTXizdw8drjsR/+uknefDBB2X+/Pn6u3v37tq/lF/GOJ5+UsCJhxqPIQESIAESIAESIAHvEqBw492xjdozOC8eoKKaIKoSllFhQuX2iC5wNoelYKNHj5ZLL71UHn/8cSlfvnxUFsxAApkk8M0330ifPn1k1apV0qtXL4H/G7cvIcLyRCwFmzp1qo6mBYu3448/PpOYXVc3BRzXDRkbTAIkQAIkQAIkQAIpIUDhJiVY3VUo3ogjPO1rr70mdevW1f4nrrjiCleFOFywYIGeJMLZaZs2beTuu++W6tWru2sg2FrfE8B5jGvxk08+0dZwCCPupvMYYVSnTZsmo0aNku+//14LwhCiTjvtNN+PbSIAKOAkQo/HkgAJkAAJkAAJkID7CVC4cf8YJq0HiPQyYcIEgcNQhEW8/fbbtR+KcuXKJa2OZBa0adMmmT59uo5Kg6VRXbt21aGFixcvnsxqWBYJpJ0AfDPB/82LL76oreBwLbZs2TJrrXDWrFkjb731ll6aiOsPzodvuOEGhk5N8plDASfJQFkcCZAACZAACZAACbiEAIUblwxUOpsJJ8awXEEYcXxDuGndurX+ZPrtPyaIM2bMEESm+fbbb6Vx48bahw3aR6fD6TxLWFc6CBw4cEDeeOMNefXVV+WLL74QOBU312LZsmXT0YSQdUDYRXtwHeLz119/SYsWLeS2226TevXqhTyGG5NHgAJO8liyJBIgARIgARIgARJwAwEKN24YpQy28eDBg3rZBsQSRGYqUKCANGnSRGrVqiU1a9aU8847T44++uiUtBChu7/77jtZtmyZfPXVVzJ37lzZvn27NG/eXK688kq57LLLpFChQimpm4WSQLYR2Llzp8yePVsLlx999JEOJ96wYcPAtXjWWWelbHkjomB9/fXXsnz5cn09zpkzR1vT4DrEp0GDBhROM3DCUMDJAHRWSQIkQAIkQAIkQAIZIEDhJgPQ3Vol3rIjpC/8cGAChw8cHEO8gZADx8alSpXK8TnmmGMidvfff/8VLHmyf37++WddNiaKRYsW1QIRRKL69etzghiRJnf6hQAscebNm6etXoywCf8ysIjDtQJrHPu1WLJkyajCyt69ewXOvc21uHnzZoGFG65z+KspU6ZM4FqEpVu1atX8gjvr+0kBJ+uHiA0kARIgARIgARIggYQIULhJCB8P3rZtm57YwSIGggsmfWbyt2vXLjnhhBOkSJEietKIpUx58uQRTDAPHz4se/bsEfimKVy4cI5JJiadNWrU0GKQ18KU84whgVQRWL9+vbaGWbFihSDMuBFg8L1v3z4pVqyYDjWO6zB//vzajxWuQ3xwHeJ6RCQriDxG9DnzzDMDYg0jQqVq5JJXLgWc5LFkSSRAAiRAAiRAAiSQTQQo3GTTaHisLVhegbf2mEyYCSL852DSiMnjcccdpyeI+GYiARJIHQFcg7gWIeCYaxEiqhFxYNkGsSZVyx5T1zOWHIoABZxQVLiNBEiABEiABEiABNxLgMKNe8eOLScBEiABEiCBsAQo4IRFwx0kQAIkQAIkQAIk4CoCFG5cNVxsLAmQAAmQAAk4I0ABxxkv5iYBEiABEiABEiCBbCNA4SbbRoTtIQESIAESIIEUEKCAkwKoLJIESIAESIAESIAE0kCAwk0aILMKEiABEiABEsgWAhRwsmUk2A4SIAESIAESIAESiI0AhZvYODEXCZAACZAACXiKAAUcTw0nO0MCJEACJEACJOBhAhRuPDy47BoJkAAJkAAJRCNAAScaIe4nARIgARIgARIggcwSoHCTWf6snQRIgARIgASyggAFnKwYBjaCBEiABEiABEiABHIRoHCTCwk3kAAJkAAJkIB/CVDA8e/Ys+ckQAIkQAIkQALZSYDCTXaOC1tFAiRAAiRAAhklQAEno/hZOQmQAAmQAAmQAAkECFC4CaDgDxIgARIgARIggWACFHCCifBvEiABEiABEiABEkgvAQo36eXN2kiABEiABEjAlQQo4Lhy2NhoEiABEiABEiABDxCgcOOBQWQXSIAESIAESCBdBCDgjBgxQoYPHy516tSRAQMGSI0aNdJVPeshARIgARIgARIgAd8RoHDjuyFnh0mABEiABEggcQIUcBJnyBJIgARIgARIgARIIBYCFG5iocQ8JEACJEACJEACIQlQwAmJhRtJgARIgARIgARIIGkEKNwkDSULIgESIAESIAH/EqCA49+xZ89JgARIgARIgARSS4DCTWr5snQSIAESIAES8BUBCji+Gm52lgRIgARIgARIIA0EKNykATKrIAESIAESIAG/EaCA47cRZ39JgARIgARIgARSRYDCTarIslwSIAESIAESIAGhgMOTgARIgARIgARIgAQSI0DhJjF+PJoESIAESIAESCAGAhRwYoDELCRAAiRAAiRAAiQQggCFmxBQuIkESIAESIAESCA1BCjgpIYrSyUBEiABEiABEvAuAQo33h1b9owESIAESIAEspYABZysHRo2jARIgARIgARIIMsIULjJsgFhc0iABEiABEjATwQo4PhptNlXEiABEiABEiCBeAhQuImHGo8hARIgARIgARJIKgEKOEnFycJIgARIwDEB3Ic3bdqU67Nt2zY5cOCAHD58WH9QcL58+SR//vxSsGBBOeWUU6RUqVI5Pqeeeqocd9xxjtvAA0iABEIToHATmgu3kgAJkAAJkAAJZIAABZwMQGeVJEACviPw+++/y/Lly2XZsmX6e8WKFbJjxw45+eSTcwgwEGRKlCihBRoj1liWFRBx9u/fL1u2bMkl9vz111+6rBo1akjNmjWlVq1a+lOyZEnfsWaHSSAZBCjcJIMiyyABEiABEiABEkgqAQo4ScXJwkiABHxO4Ndff5WZM2fKxx9/rIWaf/75R6pVqxYQVSCulC9fXlvRJAPVv//+K+vWrcshDq1cuVJOPPFELeA0bdpUWrduLbDMYSIBEohOgMJNdEbMQQIkQAIkQAIkkCECFHAyBJ7VkgAJuJ7A119/rcWaGTNmaBGlWbNmcsUVV0jt2rWlUqVKctRRR6W1j1hqtXr1almyZIm89957MnfuXN0OCDhXXnmlVKlSJa3tYWUk4CYCFG7cNFpsKwmQAAmQAAn4lAAFHJ8OPLtNAiTgiAAsa8aNGydvvvmmYBlTy5YttWVLkyZN9HInR4WlOPO+ffvko48+EghLEHJOOOEEuf766+X222+nJU6K2bN49xGgcOO+MWOLSYAESIAESMC3BCjg+Hbo2XESIIEwBOBz5pNPPpFRo0ZpK5Zrr71WOnXqJBdddJHkzZs3zFHZtfnIkSOycOFCeemll2T69Oly+eWXy5133ikNGzbMroayNSSQIQIUbjIEntWSAAmQAAmQAAnET4ACTvzseCQJkIA3CMBPzcSJE2XMmDFy8OBBueOOO6Rz587aj4ybe4goVuPHj5fnn39e96V79+5y0003ybHHHuvmbrHtJJAQAQo3CeHjwSRAAiRAAiRAApkkQAEnk/RZNwmQQCYIwPHv2LFjZfDgwVK1alXp0aOHtGjRwjXWNbEyg08cLKN67rnnZO3atTJgwAAtTKXbN0+s7WU+EkglAQo3qaTLskmABEiABEiABNJCgAJOWjCzEhIggQwSwJIo+K7p16+fnHLKKfLUU09J3bp1M9ii9FUNR8b333+/wC/OkCFDtN+e9NXOmkgg8wQo3GR+DNgCEiABEiABEiCBJBGggJMkkCyGBEggqwjMmzdPCxd79uzRwkWbNm2yqn3paIwRrh566CEpVaqUPPnkk1KnTp10VM06SCDjBCjcZHwI2AASIAESIAESIIFkE6CAk2yiLI8ESCATBHbs2CHw8TJ//vzAUqF8+fJloilZU6d9qRjCiD/77LNSpEiRrGkfG0ICqSBA4SYVVFkmCZAACZAACZBAVhCggJMVw8BGkAAJxEFg1qxZ0qVLF2nWrJmMGDFCihYtGkcp3j3kzz//1A6Zly5dKi+//LJccskl3u0se+Z7AhRufH8KEAAJkAAJkAAJeJ8ABRzvjzF7SAJeIfD3339Lr1695KOPPtKRlVq1auWVrqWkH/D7AwfN7dq108unjjvuuJTUw0JJIJMEKNxkkj7rJgESIAESIAESSCsBCjhpxc3KSIAEHBKAL5v27dtLvXr1ZNSoUXLSSSc5LMGf2bds2aKtk7777juZPHmyXHTRRf4EwV57lgCFG88OLTtGAiRAAiRAAiQQjgAFnHBk0r/9yJEjsmbNGvnxxx/ljz/+kE2bNgU+27Ztk4MHDwrCAsMxKcIA58+fX44//njtnBQOSs2nbNmyUq1aNfq6SP8QssYkERg+fLg8+uijMm7cOG09kqRifVXMhAkT5O6779Z+bzp16uSrvrOz3iZA4cbb48vekQAJkAAJkAAJRCBAAScCnBTt2rBhgyxcuFCWL1+uP19//bUULlxYqlSpEhBhjBiDkMcFChTQYk2ePHm0gHPo0CHZuXNnQNwxQs8vv/yixZ/y5ctLrVq1pGbNmnLBBRdI7dq1teCTou6wWBJImACc7Xbr1k0+/fRTeffdd6Vy5coJl+nnAnBvad26tbRt21aefvppXv9+Phk81HcKNx4aTHaFBEiABEiABEggPgIQcEaOHCnDhg3T4WUHDBggNWrUiK8wHpWLAMSZmTNnyowZM2TdunWasRFXILCcfvrpuY6JZ8PevXtlxYoVAVFo0aJFgm0tWrQQRJ+Bk9djjjkmnqJ5DAmkhMD27dvlqquuEkSKevvtt7k0KkmUN2/erMUbWOdNmTJFW+klqWgWQwIZIUDhJiPYWSkJkAAJkAAJkEA2EqCAk7xR+fXXX/WSDzgO3b9/v7Rs2VKLJ02bNpWCBQsmr6IoJa1atSogGv3www9avDGRemDFw0QCmSLw7bff6uvi8ssv18IxlgEyJY/AgQMH5NZbb5Vly5bJ7NmzpWLFiskrnCWRQJoJULhJM3BWRwIkQAIkQAIkkP0EKODEN0bwQ/PJJ5/Ic889J3Cyeu2110rHjh21hU3evHnjKzSJR/3+++/y1ltvyZgxY/TyCSxPQfsYZjmJkFlUTARWrlwpEDEffvhhHREppoOYKS4Cjz/+uHb0jKVoZ511Vlxl8CASyDQBCjeZHgHWTwIkQAIkQAIkkLUEKODENjT//fefvPrqqzJ06FDtTPiOO+6Qzp07y4knnhhbAWnOhfZ+8MEHejKH5VQdOnSQfv36SfHixdPcElbnRwJGtBkyZIi2CPEjg3T3+dlnn9X+bijepJs860sWAQo3ySLJckiABEiABEiABDxLgAJO+KGFANK3b1+BGDJo0CBp1aqVZIN1TfgW59yzdu1awRv56dOn62g09957rxQqVChnJv5FAkkiQNEmSSDjKIbiTRzQeEjWEKBwkzVDwYaQAAmQAAmQAAlkOwEKOP83QnACfN9998lPP/2kQxi3b9/eVYLN//Xkf7/gb6RPnz7aufEjjzwi8IOD8ONMJJAsAhRtkkUy/nIo3sTPjkdmlgCFm8zyZ+0kQAIkQAIkQAIuJOBnAefgwYPSv39/eeGFF7SlTc+ePT0VqQlLKXr37q2j/Lzyyity9tlnu/AMZZOzjcCPP/4o9erVEy6PyvzIGPFm8eLFUrp06cw3iC0ggRgIULiJARKzkAAJkAAJkAAJkEAoAn4TcJYvXy6wrClRooS8/PLLUqZMmVBYXL/tyJEj2l/Pk08+qZ3H3n333a62JnL9gLi8Azt37pQLLrhAbrvtNm2l5vLueKL58GmFSFPwcXXcccd5ok/shLcJULjx9viydyRAAiRAAiRAAmkg4HUBB0LGwIEDdchi+IOB82E/hNJGKHEIVfB5A+ub8uXLp+FsYhVeIoBrB+G+S5Ysqc8hL/XNzX1BBLyrrrpKC7Jvv/22L+5nbh4vtl2Ewg3PAhIgARIgARIgARJIEgEvCjiwFmjXrp38888/8tprr0mFChWSRMsdxRw6dEj78Bk3bpxMmTJFGjdu7I6Gs5VZQQBLCWGphiV4BQoUyIo2sRH/I7Bnzx6pU6eOtG7dWl/j5EIC2UyAwk02jw7bRgIkQAIkQAIk4EoCXhFw4JejZcuWctFFF8n48eN9PfGcMWOGdOzYUQYPHizdu3d35XnJRqeXAPxAPfroo7Js2TK9vDC9tbO2WAj8+uuvehnbc889pwXqWI5hHhLIBAEKN5mgzjpJgARIgARIgAR8QcDNAs6HH34oN954ozzwwAPaWa8vBixKJ7F0CuHOsfRl5MiRkj9//ihHcLdfCSxdulQuvfRSmTdvnlSvXt2vGFzR74ULF2qBGv5uKleu7Io2s5H+I0Dhxn9jzh6TAAmQAAmQAAmkmYDbBJw33nhDunXrJpMnT5bmzZunmVZ2V7d9+3btG+P444+XadOmydFHH53dDWbr0k7gwIEDUq1aNenVq5d07do17fWzQucEhg4dKvB1g0hT+fLlc14AjyCBFBOgcJNiwCyeBEiABEiABEiABAwBNwg4EG2wFOi9997TS6RM2/n9fwT2798vLVq0kGOPPZbizf9h4a//T+Dee++Vb7/9VubMmUMmLiEAJ9J169bVQnX//v1d0mo2008EKNz4abTZVxIgARIgARIggawgkK0CDkWb2E8Pijexs/JTzs8//1wvp/vmm2/k9NNP91PXXd9X+PSqXbu2fPbZZ3L++ee7vj/sgLcIULjx1niyNyRAAiRAAiRAAi4ikE0CDiImIcw3LW1iP4Hs4s306dO5xCJ2dJ7MuW/fPj3hf/DBB7Uja0920uOdGjZsmA7bDofS9GHl8cF2Wfco3LhswNhcEiABEiABEiAB7xHItIDz5Zdfaoe7EG2wXIApdgIQb5o0aaJ9mowaNSr2A5nTcwQQ+vuXX36R2bNne65vfunQf//9J40aNdIfRARjIoFsIUDhJltGgu0gARIgARIgARLwPQGnAg6coBYsWDAhbhs3bpRatWrJk08+KTfffHNCZfn14K1bt+olFojARWe0/jwL1qxZo31Cff/991KqVCl/QvBIr9euXSs1atTQforKlCnjkV6xG24nQOHG7SPI9pMACZAACZAACXiOQKwCzp9//ikTJkyQ++67Ly4GWNpRv359bTHyxBNPxFUGD/ofgZUrV+q39DNmzNDf5OIvAggTD78ogwYN8lfHPdrbHj16yN9//y2TJk3yaA/ZLbcRoHDjthFje0mABEiABEiABHxDIBYBp2jRotqfxvDhwx1zue6662Tv3r0yc+ZMyZs3r+PjeUBOAggPDosb+McoW7Zszp38y7MEFi5cKFdffbX8/PPPUrhwYc/2008d2759u1SsWFEWLFhAR8V+Gvgs7iuFmyweHDaNBEiABEiABEiABEAgkoDTSPljwORi6tSpcs0118QM7NVXX5VHHnlEEP2Gk82YsUXN2LdvX1myZInMmzdP8uTJEzU/M7ifwEUXXSQ33HCDwEqDyTsEYD21aNEi+fDDD73TKfbEtQQo3Lh26NhwEiABEiABEiABvxEIJeDAv0rz5s2lQIECMmvWLGnatGlULH/88Yecd9558s4770jDhg2j5meG2An8+++/2j9Gly5dOJGPHZtrc8LKCmIdfNwwCpFrhzFkw7GU9IwzztDLpeCAnIkEMkmAwk0m6bNuEiABEiABEiABEoiDgF3AqV27tsyZM0cQDQWOiufPny8XXHBBxFKvuOIKvQxgxIgREfNxZ3wEVqxYIY0bN9ZLprDcgsmbBCzLknPOOUcQfahdu3be7KTPezV+/Hh54YUX9LXscxTsfoYJULjJ8ACwehIgARIgARIgARKIl8B3330nd9xxh8DHhkmFChXSS3UqVapkNuX4fumllwSOiOFM99hjj82xj38kj8CAAQPk448/1mND/0HJ45pNJb3//vvSq1cv+emnn7gsLpsGJoltOXTokJQuXVrefvttqVu3bhJLZlEk4IwAhRtnvJibBEiABEiABEiABDJKAJY1H330kcBqBumoo46SI0eO5GhTkSJFZNWqVRIcynbXrl3a9H/69Ok6mlSOg/hHUglgwoeQwvfcc4906NAhqWWzsOwggGsQSxPvvvvu7GgQW5ESAvAFBnHujTfeSEn5LJQEYiFA4SYWSsxDAiRAAiRAAiRAAllAAEszEAHq888/l2HDhmlhBn4YduzYIYcPH9Z+biDswM8KEpZQ2X3ewBfH2rVrBX45mFJP4IMPPpDbb79dT/qwjI3JOwTWrVsn1atXl99//10Q2Y3JuwQ2b96sBW9EDStRooR3O8qeZTUBCjdZPTxsHAmQAAmQAAmQAAnERmDnzp2yadMmgeNhTDAmT56sl0PB1wqW7ZxyyimC5VPLly+XM888M7ZCmSthAuB/2WWXyf33359wWSwgewjAymb//v0ybty47GkUW5IyAtddd532ZwTrGyYSyAQBCjeZoM46SYAESIAESIAESCANBOxOjGvWrCnly5eXsWPHpqFmVmEIQCi79NJLBRYaJ554otnMbxcT2Lt3r5x22mnaf1GVKlVc3BM2PVYCsHKEA+oNGzYwelis0JgvqQQo3CQVJwsjARIgARIgARIggewjAPEAlh/w00BT//SPD97Ww98QnEIzuZ/Aiy++qC3aEMGNyT8EqlWrJg8++KC0bdvWP51mT7OGAIWbrBkKNoQESIAESIAESIAEUkOgW7duki9fPhk5cmRqKmCpEQnAUXSjRo1k48aNjOQVkZQ7dmLp2zXXXCO33nqrOxrMViaFwNNPP62Xmr755ptJKY+FkIATAhRunNBiXhIgARIgARIgARJwGQEsl8KyjmXLlslZZ53lstZ7p7kNGjSQm2++WW677TbvdMqHPcH1BH9Rv/76q/72IQLfdhnLHREpbvv27XL00Uf7lgM7nhkCFG4yw521kgAJkAAJkAAJkEBaCMDK5r333tMhxNNSISsJSWDq1KkyePBg+eabb0Lu50Z3EJgyZYq2XFu0aJE7GsxWJpVA5cqV5ZlnntEOx5NaMAsjgSgEKNxEAcTdJEACJEACJEACJOBWAggffvbZZwtM/Fu2bOnWbnii3QjXXrZsWXn99dcF1jdM7iRw/fXX6zDg9913nzs7wFYnROChhx6SHTt20Ml7QhR5cDwEKNzEQ43HkAAJkAAJkAAJkIALCCxYsEDat28vv/zyi+TNm9cFLfZ2Ex999FFZu3atvPrqq97uqEd7d+jQISlWrJhedlixYkWP9pLdikRg6dKl0qZNG+2vKk+ePJGych8JJJUAhZuk4mRhJEACJEACJEACJJA9BO666y7tlBgWN0yZJ/DDDz9InTp1ZNu2bXpcMt8itsAJgY8//lh69eola9ascXIY83qIAKwYTz/9dHnnnXekdu3aHuoZu5LtBCjcZPsIsX0kQAIkQAIkQAIkECeBcuXKyaRJk6R+/fpxlsDDkk0AS9dGjx4tl1xySbKLZnkpJtCvXz/Zs2ePDB8+PMU1sfhsJtChQweBrxsul8vmUfJe2yjceG9M2SMSIAESIAESIAES0E5wmzZtKlu2bOEyqSw6H/r06SP79+9naPYsGpNYm9KsWTMdGeymm26K9RDm8yCBUaNGyWeffSZvvfWWB3vHLmUrAQo32ToybBcJkAAJkAAJkAAJJEBg4MCBsmHDBnn55ZcTKIWHJpvAF198IXBwi7FhcheBk08+WT7//HPt8NtdLWdrk0lg8eLFcsMNN2jfYcksl2WRQCQCFG4i0eE+EiABEiABEiABEnApgQsvvFD69u0rrVu3dmkPvNns//77T0qUKCHz5s2TKlWqeLOTHuzV+vXrpWrVqrJr1y6hU1oPDrCDLh04cECKFCkimzdvlpNOOsnBkcxKAvEToHATPzseSQIkQAIkQAIkQAJZSQDRbwoXLqytOk455ZSsbKOfG4XQ7IhM06lTJz9jcFXfsSxm7Nix8umnn7qq3WxsaghUq1ZNhg4dKlg+x0QC6SBA4SYdlFkHCZAACZAACZAACaSRwFdffaUtbX7//fc01sqqYiWAZWxbt26VMWPGxHoI82WYwP333y+IKPTUU09luCWsPhsI3HbbbVK2bFl56KGHsqE5bIMPCFC48cEgs4skQAIkQAIkQAL+IvD888/LRx99pEPWJrPnsOTJnz9/riKPHDkiRx11VK7t9g2JHGsvxwu/33vvPRkwYIAsW7bMC93xRR8uvfRSbSF13XXX+aK/7GRkAuPGjZNPPvlE3n777cgZuZcEkkSAwk2SQLIYEiABEiABEiABEsgWArfeequUL19eHnzwwYSaBCecc+bMkaVLl+rPn3/+KaVKlZJGjRrpULjnn3++/Pvvv1KrVi157LHHpEWLFjnq++uvv6R///4yf/58+fHHH6VgwYLar0v37t3llltu0WGxsW/q1Kk5jkvFH9u3b5eNGzcKljg4SUuWLNHOaIsWLerksIh5t23bJqVLl5bdu3fL0UcfHTEvd2YHAYRxh6PvOnXqRG0QzvsJEybkyAdhs1WrVlKhQoUc28P9cfjwYYEAiwhk9oT6Y2mD/Rinv9etWyevvPKK4HpHX3Duv/DCC06L8XT+Dz74QGA5h3skEwmkgwCFm3RQZh0kQAIkQAIkQAIkkEYCNWrUkCFDhgisBOJJmCwibDXC3ubLl0+wLODKK6+UU089VdasWSOzZs3SoXDh8+Onn37Svh6mTZsmV111VaC6r7/+Wq644gopUKCAPPPMM3qyiXIhBA0aNEjgPBlvrCECzZw5M3BcrD8wscWyFVivoC4IIGeccYaO2HT77bfLcccdl6MotPXuu+8WhHJGvmOOOSak9RAOql+/vpx77rn6ePgIOu200+Syyy6TE044QYtPefPmzVE2/kB5HTp0iNlxLYQb9NupkJSrYm5ICwE4o121apVeHhOtQggeOAd37NghX375pRw8eFAfAt9G7777brTD9f4pU6aI3boHIinOGUQzsm+PqTCHmb7//nt9rUCU+Pvvv6Vy5cqyevVqh6VEz+70GjYlrly5Ut/fYLGG5aC4PiFm9ezZUy644AKTLcc3BCiIy++8847uE+5rTZo0kX79+un+5cgcwx/ffPONYDx/++23GHIzCwkkgYBaq8lEAiRAAiRAAiRAAiTgIQIq0omlBJW4eqQmp5ayLrDUY6alxArrl19+CVnO9OnTLTWZ1fmQVwk3gXwq6oqlJnvW8ccfb23atCmw3fxQ1jeWEkT0scoKwWyO+VtF9rGUlY+lBBhLvfW2lNWOpUQmq1ixYrrMevXqWf/880+O8nr06BFoK9ob6TNy5Eh9rJrsRcxnLwN1qyVjOeqM9IcShywwZMp+AjiXMNZKgHHc2LvuuitwDimrG+uPP/6IqQwlKlhKDNTHKsE0pmOcZFLiqaVEh4iHqGVAun5cy8lO8VzDaIOyerKOPfZYq127dpZyGG0pEdlSQpZupxJjLGW9l6upv/76q6UsEK3ixYtbn332md6/du1aS4k9uixlPZPrmGgblNWcpZaNWipKXLSs3E8CSSEAJ1tMJEACJEACJEACJEACHiGAyaUKV2zt2bPHcY/27t1rqaUcehJ08cUXR52ovvTSSzovJrV24ebNN9/U2++7776wbVi4cKHOE49wo5aCWSVLlrQwebIntcQjICZBGLEnTITRTmUBpPNAVAr+YH/NmjUttfxLH/r555/rY5SFjVWoUCFLLRkJeQyOU2/y7dVF/X3ttddao0ePjpqPGTJPAEIjxNB40vDhwy1lrabPO5wnjz/+eNRiVOhxLTQoiw59/kFgSHY666yzLBUhK2Kx5vxPhXATzzUMMRpiFkSn4KSWX2pWEG+Uf68cu5Xlod4HgdeelEWUHlcIOmoppX1X1N8QbJSVn6WcjEfNywwkkAwCFG6SQZFlkAAJkAAJkAAJkECWEMDbZVjCxJPUUiI9wcGEBG+kY0mNGzfWx9iFm969e+ttamlCxCLUMiHLqXCzc+dOXbYKw5vLqgaVqeg/ej8myZhwmwSrBbVMxfyZ63vy5MmWWl6V4xjl18NSSy8s5Vg5V35sUEu/LLWkysIk1GkCa7VMw+lhzJ8BAhA4MM7xJAg3HTt2DFiFwEosmpWG8gulLckg+OA8TrZwo5ZyWRA4MiXcxHsNG+sltcQy11CgT7DEAa/rr78+sP+LL77Q22BxEyp169ZN73/iiSdC7Y64TS1ds9QyzYh5uJMEkkWAwk2ySLIcEiABEiABEiABEsgCApioYKmT06R8cViwLMHE5+abb475cAgeOMYu3ChfL3obljNFShB2nAo3c+fO1WWjTog0wQlv27EPHxVuW+9Wfjq0xUO4pS5YDgaxa/z48TmKu+eee/QEOsdG2x9YflWxYsW4rJuUfx6rU6dOttIi/8QyrAULFlhYhsaUXgKvvfaaBaEwnmSEm48//jhwXgZbftjLxTiXKVNGL2NKlXCDpYC4PjIl3MRzDYMRrOjQblyrW7ZssWPTvy+66CK9H8swTYIIhmOUny6zKce3uX81bNgwx/ZY/lB+uizlYyuWrMxDAgkToHCTMEIWQAIkQAIkQAIkQALZQwACCqxgnCYV5UlPcDDJge+IWBOWCmBpll24gQCCcvB57rnnwloYYOKIJQ5OknKYGigblgzBSUXACuxXzkr1biypwgQ6VFIOUrVFQ+vWrXPtVg5iLeWENNd2bHj//ff1UgnlIDXk/mgbIQbAh1C0BMuntm3b6j5hksmUfgIQOpRT67gqNsINrGzKli2rxzFSWTivzHnhRLiB7xxYfwT7dgpu9FdffaUty3BtxivcJCoexnMNox/ggnbDV1Ao31vKGXrg2scyKKTatWvrbeGs24ygBgsk+N1xkiA6q+hbTg5hXhKImwCFm7jR8UASIAESIAESIAESyD4C8DvTpk0bxw07+eSTA5OezZs3Ozoeogf8YZgEsQFijhFvsNQDjk6DfdKY/E6+MQGGbxhY26iIMrkOff311wP1qmhWufYHbxg8eLD2l4OlFrEm5C1RooQVbSlYpPLwph4WAqESJt8Yx6pVqwb6Es+Yhiqb25wTePrppx1ZR9lrMMINtj366KN6POGnJZxIoCKzBRzsxiLcQMwrV66cdtRtnO3CTxMETHuCD5dLLrlEix7mujzvvPO0FQssWfDZt2+f/RB9TSMvfNzgnIQFmorgpC1e4GPqmmuuCXkN5igkxB/xXsMq2pXVq1cvC9d4qHTmmWdqvvBdZRyFw6cV+hBOuIUwa3jA6tBJwli9+OKLTg5hXhKImwCFm7jR8UASIAESIAESIAESyD4Czz//vLbQcNIyLCUykxcslzKTHidlBOcdOnRooExTNr6xjAuWMD/88EPwIUn5GwIH6oFwtF45eY2U4A+oYMGC2iooUr7gfV27drVKlSoV1Xlz8HH2v7Gky76UDJPZefPm6Wg58DEEfzvoByaesIZiyhwBnMtdunSJqwF24QZRnMxyRLOMz14orNdwXhnn2NGEGzjExjkybNiwQDEQTWHZA6uUGTNmBLbjGp84caL+qLD2+jgIMWYbrMtwDtqTcU5cqVIlC+Js+/btLSNwPvnkk7qMeKz77HWE+u3kGjbH2wUYLNVEwtJI8MEnFG/kgRhk8nz44YfYFHNCZKtx48bFnJ8ZSSARAnlwsDpZmUiABEiABEiABEiABDxAYOzYsaIiNol6Kx1zbzZs2CBqsqfzq+g5oiZnMR8bKeODDz4oaoInSgjKlU0JK6KWGYjyp5NrX7wbVChzqVGjhqjlT6IcJIvyIxOxKOXEVNRSCVETalGOTSPmNTu/++47Of/880VFBxJl9WM2O/5Wy1RELRPT9SpLJFHWQyHLUCGHRVlGCHgxZYaAElNEWZqIsvRy3IARI0aIEhVEhbHWx15++eWiBAJ9ni5fvjxHecqyR5S1myhLMb1diSUyc+ZMUZY0smjRohx58YcSOESJM6Kc5AquYZOUdZuo5XWiHCGLctAtSiwyu/Q3+qKWVgnOwUaNGuXYZ/8DddarV09vUsuQRFmJBXarpUiCewWSEmFFRakK7Evkh9Nr2NSlRBRRocBFiVKa9+mnn67vY8WKFdNZlMAit99+u8ke+FZClyhLHf23WiKquQV2RvmhlryJsprT13GUrNxNAgkToHCTMEIWQAIkQAIkQAIkQALZQwATFOX8VFRI7pgbpd70i1r6o/OrsNeilkXEfGy0jD///LOeUKFNynFyjrKVXwlRkZ4Ek9lEk/K7IcqCRVavXi3K0ajMmTNHlOVK2GKVrw9RS0qkb9++MmTIkLD5gncovxZa7FHOUUWFBw/eHfPfKjKOqHDpWthSFhZ6Mq+ctooKeSzKWkKwDQnCDQQoZfUQc9nMmFwCyjpK9u7dKxBFnaZg4caIKihn5cqVWgQ0ZZ5zzjmifEUFxjqacHPjjTdqgRbHrVmzxhQj9usZoqARL0yGeIQb5ctJXy+mDHxD0ILQhGutadOm9l1x/XZ6DZtKlL8ogYiCa2X69OnSvHlzvWvjxo0CAQcpFuEG98xrr71W54/lHwi/DRo0kDvuuCOW7MxDAokRSMRch8eSAAmQAAmQAAmQAAlkFwGEsL766qsdNQpLJLBkSD1V6k+wrwtHhUXIDEfAiHqFcL2mLvilSEaC7wuUqSZSMUV5Qghv5I/moNXeNrPUJZ4INPZy8PuDDz7QocaDt6MO+ELBkhn4QjGcsASGKTMEsCwonpDvaK19qRT+xvIdJaTocb3zzjuxSScsSwr2eRRtqdTu3bstLJcyvqMQtl6JFRYcEBsfU6HOm1NPPTWmc98slcKyq1AOiZWVjS4nWZGVnF7DAIfljkpA1eHN7Q7SsQ9+hMz1A79YoZJ9qRRYOknw8RMcic7J8cxLAk4I0MeNE1rMSwIkQAIkQAIkQAJZTuDVV1+1WrRo4biV1atXD0xy1HIFR8fDp4R66x44BtFtjC+MwMagHw899FCgvk2bNgXtdfbnpEmT9ERVWe7EJNrs2bPHKly4sK7/r7/+irky41wWYcATTfA/ApEpUlJL3nQ0IzP5hINZpvQTgA8Z4zfFae3Bwg2Oh28ZjCl8zRhBBOXDIbU9RRNukFdZAmnxAHmVtZwuUy1vClxbyoLLXqT+7VS4KV68eK4ysMEIN7Nnzw6538lGp9cwyoZwVa1aNUstc7RmzZqVqzoI0kbACuec+Ntvvw2wUlZwucqItAF+fyZMmBApC/eRQNIIULhJGkoWRAIkQAIkQAIkQAKZJwCnt4gq4zRhYmMEAjhjdZJgHWIPmw2nncGT0ODyYHmACDWoUy1RCN4d899wKKqWSGjHqbA4iCUZp66wJAh2yBrpeEThQXsHDhwYKVtM+9Sym5idSGNyrnykWMpnUGCiH1MlzJQUArCqgHVFPCmUcKP8JAWuNURIggCBKGXBobyjCTdLliyx1FIgXRZCZdsFVyNYxCrcwHkxPvZkLG5OOeUU++bA72QJN/Fcw7h/NGnSxFJ+dqxI0aBOPPFEzad///6Bdtt/qCWcgbGA4OwkqeVhlvKL4+QQ5iWBuAlQuIkbHQ8kARIgARIgARIggewjgDfIEFKcJliemEhGyvluzILGunXr9JIeu2iiHKNayndM1CaY6DHKqWjUvKEyKL8b2soAFgzB6dlnn7X69esXvFn/fe+99+rJGiZ1sSYsuzARgUaOHBnrYWHzYSKJpSFM2U8A1hwItR1PCiXcoJwLL7xQn4MI0Y1IcJ07d85VfCThBteriQ4VKuJVsHCDJXgmhbK4GTBggKUcbpss+jsdwk081zDEViy3xH0OS53sCRHxsN2IYFg2CrE1FCMc98Ybb+j9CCGOpZxOEsKkwyqOiQTSQYDCTToosw4SIAESIAESIAESSBMBTOhgSRJPSG9YyRirG1h4xJI6depkqchQObJCuKlQoULUNlx88cW6PhX5JsfxsfwBwQhLOB544IGQ2a+66io9IQ61s27durpeFXUn1O6Q21T0qQCbyZMnh8zjZCMm6k888YSTQ5g3QwTgM0ZFXYur9nDCDXxR4VqDwHLyySeHtBqJJNw899xz+nhYmxmRwjQQSw/NdQyLm6VLl1oNGzY0uwNWOgg/bxLEzODzMdXCTbzXMIRaWBqF8t8Dq6OSJUuabllYOgoWl156aWCb/cegQYP0fqd+wVAGxB7lfN1eHH+TQMoIULhJGVoWTAIkQAIkQAIkQAKZIQBHw/H6jbnlllv0RAbWN5i4RUp4Ww2rFeMc1eSFcIPJUiSrm19++cUqUKCA9lHhZLkS6lBRc6wyZcpYcGysIsrk+KgQ45YKp6z9Xnz22WemSTm+MQlH+5wsKZs4caI+Bsclw6cH/PFgUsmU/QRU5CR9rsbTUgiLKspRrkMhthgLNxUxLNd+bMA5gvNNRUvLtf+RRx7R+0L5nzFWJDgWFilYDtS4ceNAGbVr19bH2s8/iJlYZmlPsCZBGXCmHCpVrFhR74/neoj3GlYh03Wdjz32WI7rHmIqxDD497L3VYUt10spVYQ57aw4uB/G8gnMnCQ4cAebVDlyd9IW5vUHAQo3/hhn9pIESIAESIAESMBHBMqXL29hCUI8CSJKnz599KQEwkrPnj0tFfo6R1GYdN51111atAkVUcYIN5jYwLIkWNjBRBgTJiw9iuSfIkel//8P+HupUaOGbh/Kj/QJ58wXTlxxXHAUn1D1mW1mwojjgie4Jo+TbyxHU+G/nRzCvBkiAOs1Fbo+qsNt0zz4X8F5DWubIkWKaAs4+CdasGCBpcK8m2wWrNVwPmFZn0nwMwMrGYgtZikURAc4/4ZlGoQIpEWLFgUc79od5EKogaCJpV2mbDgCt0ewevjhh/U+CBy43uFzB9cEnHYj4RpDXRBeUQYs+HDOw0IGaf369bp9cAqM/SosuQX/MPa+6Yxh/on3Goa4YpaAod5wn+7du+eo2VjVdOvWLcd2LNFEGViu5jSBBSxumEggXQQo3KSLNOshARIgARIgARIggTQRwBv+WJc6hWsSwmRjeQEmNpigwRFnx44ddSQkTEbx1h5WM6EShBtYCWApQ/369fWkt1GjRlbXrl2tVq1a6QkPnLE6jeKCut5///2wEzb7RA7LT8IlOFtFXifRt+BM2JQfryhm2oMJLkQxCFhM7iAAvzB257+RWo3lM1jChOsGk3sIMBBGIP5MmTIlcCgcekNktUdggwiDYxHiGtZscL6LD/6GgIPQ5CbBqbdxEIylic2aNbOqVq1qQUz94YcftICDc7ZcuXLWhg0bzGHaSuSOO+7Q5zP8waA+iDkmYQkV2gqLILQdfUBoeuMTClY+sOpDm+x9g/VbLCnea9hYCpnrMNz3qFGjcjQDwlvv3r216IPlZ7iWIUij37iv2fnnODDCH7DmC2cpFeEw7iKBuAnkwZHqpGciARIgARIgARIgARLwCAHlaFSUtYmMHj064R6pCaCsXLlS1Bt4UW/kRVm7yAUXXCBqMhi2bBUpR5RwI2ophc6zceNGUX5C9AePnmoCJkrQETUhDFtGKnco6wXBR4VglipVqsRUFfquJs2iJtGiJn2i3vzHdFyoTCtWrBAlYAm4MLmDAM5ZZbkhShzJqgbjelLWH6KcD4taPijKb1OgfSrUuPzxxx96uxJiAtvNDxyjrHtEWehI6dKlzWbPfiuhVFQEK1HWQaIEJ1GWNvo+FM+1rAQ4efHFF0X5vvIsL3YsuwhQuMmu8WBrSIAESIAESIAESCBhAsrnhDz66KOinJImXBYLSD4BFV5aPvjgA5k+fXryC2eJKSGgHHBLtWrVRDnGTUn5LNRdBJSFkqhla6Kse9zVcLbWtQQo3Lh26NhwEiABEiABEiABEghNQDn+1G/ZlS8aUcsBQmfi1owRUKGJ9fgo3yMZawMrdkZgxIgRsmTJEoE1GRMJXHHFFdKuXTtttUcaJJAOAhRu0kGZdZAACZAACZAACZBAmgmocLkyc+ZMqV69epprZnXRCGBMhg4dKsqHULSs3J8lBL744gs9ScfSIiYSUH5+RPkBk8qVKxMGCaSFAIWbtGBmJSRAAiRAAiRAAiSQXgI33XST9t+iIsOkt2LWFpGAirClrW1gFaWcPEfMy53ZQ2D//v2inPEKxi9Tvpmyh4a/W6IcPWvBZvfu3aIi4/kbBnufNgIUbtKGmhWRAAmQAAmQAAmQQPoIqFC3osIMiwpLnL5KWVNUAi+99JJgbOAklcldBM477zwZNmyYdmrrrpaztckkMG3aNFGh3mXhwoXJLJZlkUBEAhRuIuLhThIgARIgARIgARJwJwH4t1Fhr0WF7BYVetudnfBgq1u2bCnwj6HCMXuwd97uUufOnXUEpj59+ni7o+xdRAIPPPCAHDx4UAvjETNyJwkkkQCFmyTCZFEkQAIkQAIkQAIkkE0EIBBceeWVcvvtt2dTs3zblr1790qxYsV0+OZSpUr5loNbO45oYO+99572HeXWPrDdiRNo2LChFl6vu+66xAtjCSQQIwEKNzGCYjYSIAESIAESIAEScBuB559/XmbMmKFDT7ut7V5s7zvvvKOdEjNMuztH9/fff5ezzz5btm/fLscee6w7O8FWJ0Tgr7/+ktNOO002bdokJ5xwQkJl8WAScEKAwo0TWsxLAiRAAiRAAiRAAi4i8Oeff0rZsmXl+++/F0SZYsosgebNm0vTpk3lrrvuymxDWHvcBGrUqCEPP/ywtmSLuxAe6FoCr7zyikyaNEnmzp3r2j6w4e4kQOHGnePGVpMACZAACZAACZBATARuueUW/Yb48ccfjyk/M6WGwM8//yzVqlWT3377jVGJUoM4LaUOGjRI+42aMGFCWupjJdlFoE2bNnLxxRdLz549s6thbI3nCVC48fwQs4MkQAIkQAIkQAJ+JoBlOS1atBAs8yhQoICfUWS07/fcc4/Axw2WrzG5l8CqVat0VKktW7bIUUcd5d6OsOWOCSAkPHxUrVmzRkqXLu34eB5AAokQoHCTCD0eSwIkQAIkQAIkQAIuIHDBBRdIt27dpH379i5orfeaCMEGfjEQPrhKlSre66DPelS+fHmZOHGiNGjQwGc993d33333XRkwYICsWLHC3yDY+4wQoHCTEeyslARIgARIgARIgATSR2Dy5MkybNgw+eqrr9JXKWsKEBgzZoy89dZbMn/+/MA2/nAvAVhP/ffffzJ8+HD3doItd0ygQ4cOUq5cOXnkkUccH8sDSCBRAhRuEiXI40mABEiABEiABEggywkcOnRIKlWqJPBz07Zt2yxvrbeat2/fPjnjjDO0Q9MmTZp4q3M+7c0333yj/Zz88ccfcswxx/iUgr+6vXPnTr08CkvlIN4wkUC6CVC4STdx1kcCJEACJEACJEACGSAAi4+HHnpI+2fInz9/BlrgzyoHDx6sl0h99NFH/gTg0V7Xr19fLz289dZbPdpDdstO4Omnn5YFCxbIrFmz7Jv5mwTSRoDCTdpQsyISIAESIAESIAESyBwBy7LkwgsvFESZ6t69e+Ya4qOat2/fLhUrVtRLpKpWreqjnnu/qxBCYcG2cuVK73fW5z3EsjhYzY0dO1aaNWvmcxrsfqYIULjJFHnWSwIkQAIkQAIkQAJpJoA3xu3atZN169ZJ4cKF01y7/6pDyOBdu3bpZVL+6723e3z48GEpU6aMvPnmmwLrGybvEoCVTe/eveWHH36QPHnyeLej7FlWE6Bwk9XDw8aRAAmQAAmQAAmQQHIJtG7dWvtqGDlyZHILZmk5CCDyTOPGjQX+UDDBZ/IegUGDBsnq1atlypQp3uscexQgACub5s2bC4RYJhLIFAEKN5kiz3pJgARIgARIgARIIAMENm3aJOeee65MmzZNGjVqlIEWeL/KgwcPSo0aNaRr165y5513er/DPu3h1q1bpUKFCtpvVOnSpX1KwdvdXrNmjV5iunHjRilSpIi3O8veZTUBCjdZPTxsHAmQAAmQAAmQAAkknwDCgz/88MOCCCmFChVKfgU+L7Fv376ydOlSmTt3LpdWePxcgL8oRA6bMGGCx3vqz+61adNGzjnnHO3PyJ8E2OtsIUDhJltGgu0gARIgARIgARIggTQSwITklFNOkXHjxqWxVu9XtXjxYrn88svl66+/lrJly3q/wz7v4bZt2+TMM8/UkcNgycbkHQKLFi0SLC2FT7CiRYt6p2PsiSsJULhx5bCx0SRAAiRAAiRAAiSQGAFMOKtUqaKFm6uuuiqxwni0JrBjxw6pXbu23H///dKlSxdS8QmBgQMHagur9957zyc99kc369atK23btpW77rrLHx1mL7OaAIWbrB4eNo4ESIAESIAESIAEUkfg008/FYg28+fPl/PPPz91FfmgZEQZghPT008/XSZOnOiDHrOLhsCePXt0uGhEmKLfKEPF3d8zZsyQe+65R0eSOvroo93dGbbeEwQo3HhiGNkJEiABEiABEiABEoiPwNixY2Xo0KGybNkyKV68eHyF8CjthBjLo+bNmycFChQgEZ8RwHUEPzdLliyhXyOXjz1EWFgjPvLII3L99de7vDdsvlcIULjxykiyHyRAAiRAAiRAAiQQJ4Fu3brpsNWwwOHbZecQn3/+eXnssce0+AW/QUz+I2Am+1gm16lTJ/8B8FCPn332WXn99df19ZwnTx4P9YxdcTMBCjduHj22nQRIgARIgARIgASSQACTzssunlpoFwAAQABJREFUu0w74JwyZYrky5cvCaX6o4h33nlHOnfuLBC9qlat6o9Os5chCcCZbcuWLbUIiiVzTO4j8OOPP2o/VZ999hmXj7pv+DzdYgo3nh5edo4ESIAESIAESIAEYiMAPx2IhoTlUhRvYmNmRBv4w2jYsGFsBzGXpwn07t1bVq1aJXPmzPF0P73YuSNHjggcErdo0UL69evnxS6yTy4mQOHGxYPHppMACZAACZAACZBAMglQvImdJkWb2Fn5KeeBAwekevXq0rNnT+nataufuu76vsLX17Rp0+TLL7+k1aHrR9N7HaBw470xZY9IgARIgARIgARIIG4CdvEGfh7oaDc3yqlTp+pw37S0yc2GW0SHBr/00ksFzqrLlStHJC4gsHr1am1tA9GmUqVKLmgxm+g3AhRu/Dbi7C8JkAAJkAAJkAAJRCEA8QZhwv/55x+ZPn26lChRIsoR/tk9ePBgGTFihMDipn79+v7pOHvqiMBDDz0k8JMC30f0GeUIXdozw0qqTp06OoLUfffdl/b6WSEJxEKAwk0slJiHBEiABEiABEiABHxGAP4e7rnnHi1QzJw5Uy//8BmCHN3dv3+/dOzYUfsvmTVrllSoUCHHfv5BAnYChw4dksaNG8u5554rY8aMse/i7ywjcMMNN8iuXbtk9uzZkjdv3ixrHZtDAv8jQOGGZwIJkAAJkAAJkAAJkEBYAi+88ILgLfT48eOlXbt2YfN5ecfGjRuldevWglDfb7zxhhQpUsTL3WXfkkRg+/btUqtWLUGI8G7duiWpVBaTTAJDhgyRSZMmyeLFi3VUvWSWzbJIIJkEKNwkkybLIgESIAESIAESIAEPEli4cKEWbRAyfPjw4b6a4Lz22mvSq1cvHfIbkzy+kffgCZ7CLn3zzTfSqFEj7fQWFjhM2UPg3XfflU6dOmnR5owzzsiehrElJBCCAIWbEFC4iQRIgARIgARIgARIICeBv/76S1sNwHnniy++KHC+6uW0bds2HRUIDmZffvllufjii73cXfYthQTgJ6pLly5aIOASuxSCdlA0nBHDRxUcjTdp0sTBkcxKApkhQOEmM9xZKwmQAAmQAAmQAAm4ksBbb70ld955p3ZejPC5xx9/vCv7EanRb775pg7n3KZNG3n66aelcOHCkbJzHwlEJTBo0CC9zG7BggVSrFixqPmZIXUEsPSxQYMGcvfdd0uPHj1SVxFLJoEkEqBwk0SYLIoESIAESIAESIAE/EBg69atWtiYO3euPPDAA1rI8ULYcCwJgz8S+CYZPXq0NGvWzA/DyT6miQD83OAcmzdvHsWbNDEPrgaiDaznrr76aoHwzEQCbiFA4cYtI8V2kgAJkAAJkAAJkECWEYBDTwgdv/32myBM9o033ih58uTJslZGb873338vffv2FSwD69+/v14ilT9//ugHMgcJOCBgWZZ0796d4o0DZsnMStEmmTRZVroJULhJN3HWRwIkQAIkQAIkQAIeI4Dw2BA+kLD04Oabb5bjjjsu63v52WefacuaDz/8UFsQQYTisqisHzZXN5DiTWaGj6JNZriz1uQRoHCTPJYsiQRIgARIgARIgAR8S+DIkSMyc+ZMGTVqlMChb/v27bV1QcWKFbOKyb59+2Ty5MlasIHD5a5du2rHscWLF8+qdrIx3iVA8Sa9Y0vRJr28WVtqCFC4SQ1XlkoCJEACJEACJEACviXw3XffaQEHobSrVq0qV155pbRu3VoyFVFnz549AqsaCEuzZ8+W8847T/vlgfPhfPny+Xac2PHMEYB4A+u0Dz74QBCWunLlyplrjIdrXr58ub733HLLLfL44497uKfsmtcJULjx+gizfyRAAiRAAiRAAiSQIQK7d+/WQsmMGTO0cFK6dGk9iUL43erVq0uRIkVS0jJY/8BvzRdffKHFmk8//VTOPfdcXTfEmrPPPjsl9bJQEnBKYMSIETJw4EB55ZVXpGXLlk4PZ/4IBBAdDhZ1zzzzjHTu3DlCTu4igewnQOEm+8eILSQBEiABEiABEiAB1xM4ePCgjqYDqxdE1vnpp5+0BU7NmjWlVq1aUqVKFSlVqpT+FC1aNKb+/vvvv7J582bZtGmT/PLLL4K36/hgqRZ87NSuXVuaN28urVq10uXGVCgzkUCaCcyZM0euv/567ei7T58+aa7de9XBmglOxl944QWZNm2a1KtXz3udZI98R4DCje+GnB0mARIgARIgARIggcwT2Lt3r6xYsUKWLVumxZYffvhBCzAIxX3MMcdIyZIlpUSJEnL00UcLIjzlzZtXDh06JIcPH5YdO3bovPBRU6hQIS3KlC1bVlvxGCHo9NNPz3wn2QISiJEAhExY3EBshOBQsGDBGI9kNjsBLIuEc/T169frJWiw8mMiAS8QoHDjhVFkH0iABEiABEiABEjAIwQgzGzZskULM1u3bhVY1WDbf//9p/3RQMQ5/vjjA9Y5EG6YSMALBHbt2qUtb37//XeZNGmSFiK90K909WHRokXSoUMHOf/88/XSMzdEtksXG9bjfgIUbtw/huwBCZAACZAACZAACZAACZCABwhgmc/o0aOlX79+0qtXL/0NsZIpPIEDBw5oTi+//LL2Z9OxY8fwmbmHBFxKgMKNSweOzSYBEiABEiABEiABEiABEvAmgXXr1mnrEYSvh+NiONdmyk0ASy3bt28vp512mrz00kvCJZK5GXGLNwhQuPHGOLIXJEACJEACJEACJEACJEACHiKA5YHDhg2TRx99VO6991657777tP8nD3Ux7q7Al81jjz0m48aNkyFDhujoUXEXxgNJwAUEKNy4YJDYRBIgARIgARIgARIgARIgAX8SQGj7nj176hD3CB0OPy5HHXWUL2HAQfn48eO1mAVHziNHjpRy5cr5kgU77S8CFG78Nd7sLQmQAAmQAAmQAAmQAAmQgAsJIGw4woVDvICVCaJQ+SlNnTpVHnzwQTnppJPkySeflAYNGvip++yrzwlQuPH5CcDukwAJkAAJkAAJkAAJkAAJuIMAnBdPnjxZ+vfvL2XKlJEBAwbIxRdf7I7Gx9FK9BeC1cMPPyw7d+6Uxx9/XK655po4SuIhJOBuAhRu3D1+bD0JkAAJkAAJkAAJkAAJkIDPCBw8eFBHnxo+fLgUKVJE7rzzTrn55pvFKyGwd+/eLRMmTJAxY8bI4cOHtY+fLl26SL58+Xw20uwuCfyPAIUbngkkQAIkQAIkQAIkQAIkQAIk4EICR44ckZkzZ8qoUaPk66+/1hGWunfvLhUrVnRhb0TWrFmj+wKrojp16kiPHj3k8ssvl7x587qyP2w0CSSLAIWbZJFkOSRAAiRAAiRAAiRAAiRAAiSQIQLfffedFj1ee+01qVq1qrRu3VquvPJKqVChQoZaFFu1P/74o8yYMUMLUHDEjPDebhafYus1c5GAMwIUbpzxYm4SIAESIAESIAESIAESIAESyFoCWGY0e/ZsLYZ8+OGH2hcOBBwIOTVr1sx4u+G3ZvHixQGxZuvWrXLFFVfo9uHbK8u9Mg6aDfAUAQo3nhpOdoYESIAESIAESIAESIAESIAE/kcAvnDmzZunRZJ3331XIJpAvKlVq1bgu3jx4inFtXnzZlm2bJn+LF++XPApWLCgtgaCmNSwYUPJnz9/StvAwknA7QQo3Lh9BNl+EiABEiABEiABEiABEiABEohCAKLN6tWrcwgoq1atEgg3EHLKly8vpUqVyvE59dRTtcgSqeh9+/bJpk2bcn3WrVun69qxY4deumUXjCpVqhSpSO4jARIIIkDhJggI/yQBEiABEiABEiABEiABEiABPxD4999/5dtvv5WvvvpK1q9fn0t82bVrlxQtWlQKFCigIzrBMgYCECI94XPgwAHB0qwTTzwxh+ADAQhCUI0aNaRKlSqMBuWHk4l9TCkBCjcpxcvCSYAESIAESIAESIAESIAESMCdBPbv3y/wQYMlV0asQU8QlhsiDgSdEiVK6G939pCtJgF3EKBw445xYitJgARIgARIgARIgARIgARIgARIgAR8SIDCjQ8HnV0mARIgARIgARIgARIgARIgARIgARJwBwEKN+4YJ7aSBEiABEiABEiABEiABEiABEiABEjAhwQo3Phw0NllEiABEiABEiABEiABEiABEiABEiABdxCgcOOOcWIrSYAESIAESIAESIAESIAESIAESIAEfEiAwo0PB51dJgESIAESIAESIAESIAESIAESIAEScAcBCjfuGCe2kgRIgARIgARIgARIgARIgARIgARIwIcEKNz4cNDZZRIgARIgARIgARIgARIgARIgARIgAXcQoHDjjnFiK0mABEiABEiABEiABEiABEiABEiABHxIgMKNDwedXSYBEiABEiABEiABEiABEiABEiABEnAHAQo37hgntpIESIAESIAESIAESIAESIAESIAESMCHBCjc+HDQ2WUSIAESIAESIAESIAESIAESIAESIAF3EKBw445xYitJgARIgARIgARIgARIgARIgARIgAR8SIDCjQ8HnV0mARIgARIgARIgARIgARIgARIgARJwBwEKN+4YJ7aSBEiABEiABEiABEiABEiABEiABEjAhwQo3Phw0NllEiABEiABEiABEiABEiABEiABEiABdxCgcOOOcWIrSYAESIAESIAESIAESIAESIAESIAEfEiAwo0PB51dJgESIAESIAESIAESIAESIAESIAEScAcBCjfuGCe20mcEDh06JPnz58/V6yNHjshRRx2Vazs3kAAJkEC2EDh8+LDky5cvW5rDdiSRAP9vSiJMFuU6ApHubZH2ua6jbDAJkEBWEqBwk5XDwkb5jcDixYtlzpw5snTpUv35888/pVSpUtKoUSO577775Pzzz5d///1XatWqJY899pi0aNHCb4jY3ywjsHfvXjnuuOMSblWyykm4IR4sYN26dfLKK68I7id//fWXFC1aVF544YWU9BT3p2effVaXv2PHDilZsqS+V7Vp0yYl9cVa6KxZs2TDhg1SoEABLSblyZNH/vvvPzl48KDe1qlTp0BRYLV79245+uijtXAOoRz5cC++6qqrAvmy8cfbb78tv/76a9SmHXPMMVKuXDmpXr26lChRImp+ZMC5079/f5k/f778+OOPUrBgQalSpYp0795dbrnlFhk9erTeN3Xq1JjKi5Zp7ty58vHHHwfO24svvlh69uwZ7TDuzxABXGO//fabPi/y5s0ruMYsyxIIGfv375fWrVtL6dKlA60bM2aM3o9rEvmRD9dZ2bJlpWXLlvL888/rvHh5hbLwQcL1eODAAWnQoIEULlxYZs6cKTifTT7kwbWNPCeddJJce+212KTT119/LZ999pluI/KjfbhnIe/NN98sJ598ssma4/uff/6Rt956K/Bstnr1an3fOOuss6R9+/Zyxx136PrffPNNeeaZZ2TZsmU5jucfJEACJJBUAurmxUQCJJAhAvv27bN69OhhqQcTSz1MWN26dbM++ugjSz0cWOphwVIPFJZ6uLFefvllq2/fvpa6+K1p06ZlqLWslgT+R0A9XOtzsUuXLgkhSVY5CTXCwwevWbPGatasmaUEGz1elStXTllvr776al3HyJEjrddee03/VpMna8+ePSmrM5aCx44da6mJnqUmZrpNuIfig/ttvXr1chSBPuBebPLgG8xuv/32HPmy8Q8lmllXXHGFpSa/gfarSa3epkQnC59LLrnEOv744/V+ZRFltWvXzvr5558jdmfFihWWEnisMmXKWEocsjZt2qSPAVclaOlyixQpYrVq1SpiOU524v++hg0bWmgjxgD/LzJlLwE8m1x++eXWaaedFjj3cB1dcMEF+rxQgl+Oxt90003W6aefHshrrrNBgwbpfHgmQnk4v8y1iPJq166ty1MiibV27Vrryiuv1NewskIO5CtevLh12WWXWV27ds1R57x586waNWro5ylT5oknnqiPV4Jnjrzmj4ULF1pK5NRlV6pUyXrppZes5cuXW59//rmF6w19wD1EiUIWyjr33HPNofwmARIggZQQgOrMRAIkkAECq1atss4++2z9UIAHjV9++SVkK6ZPn27hwdg8bFC4CYmJG9NEYOPGjYFzEQ/W8aZYy8HDvHqbG281PE4RwITbTI5SAUS9cdflN2nSRBevrAf138oiK+PCjemvshqxlMVi4Nx96KGHzK4c3yNGjNB5zjnnHOuHH37Isc8Nf/z++++BPkKYCU7KIsH6/vvvLWWNoPOdcMIJ1ocffhicTf+trBG0cAWxB4JNcFLWN9Ypp5yiy0mmcGPqwQQe5y2FG0MkNd/Jusd+9913gXMPYmmkpKxnrF69eun877zzTsis3377baC8YJHVfkDbtm0D+SDQRErKCtHCOV+3bl1LWdOEzIpr5IEHHrCUNZAF8XPixIkW2huclGWhFpLMsxmFm2BC/JsESCDZBCjcJJsoyyOBGAio5SFWhQoV9MOGMgO3lJlwxKPwpsc8HFC4iYiKO9NA4LrrrrPUchLrkUceSai2WMpRJunWp59+mlA9fj8Yb4hTKdzcf//9uvxhw4YFUKtlCdYff/wR+DsbfuAtPSZiYAErJIgcwUkt/bHKly9vqeVlwbuS9vc333yTVAuV4IYZC4TbbrsteFeOv9XyJ80Cli1quW6OffgDlg1gpZbr5tpnNsAqAXlSIdwMHjxYl03hxtBOzXey7rF4rsG5gA+uo2hJLQ23jj322LDZYi0P56epN9wLMHslsEx78skn7Zty/FZLtXR5EG7CiZrmALUUzDrzzDN1fgo3hgq/SYAEUkWAwk2qyLJcEohA4O6779b/0WPyi8lELKlx48b6GAo3sdBinlQTUE5Kk1JFpHIwecakksJNYqhTLdyYZVLh3pwn1vrkHo0lDmaSh2Vk9gTLIUzWIEakMr3++uu6DcrHRkqqiVW4QeV16tTRbcGSkL///jtHe3r37q33Kb9qObYH/1GtWrWUCDeoF2NF4SaYePL+TuY9NlahxbQey/AgoIZLsZbnVLiByGgXme31w7rTWDh37NjRvivs7wULFujzlMJNWETcQQIkkCQCFG6SBJLFkECsBL788ks9OcADKXzYxJomT56sHw4o3MRKjPncTgD+UnCdULhJbCRTLdzAfwrG6d13302soWk4GksejFiBNr/44ou6ViylUg6VLYgVqU7ZJNxMmjRJjx1YPP300zm63qFDB70PS8wiJQgsqbC4oXATiXpy9iXzHhur0GJano3CDaxxcC3gE83/k+kHvs844wz6uLED4W8SIIGUEKBwkxKsLJQEwhOACbF5MIATxljT1q1btePMSMINllzBDD+UP4JQ9cDMN1yKZAmBNeD25V323/byVLQIC2vKv/rqq8DbXPhFCJeQH46Z4VQVdSSagvsAnw2xlBtr/0z7nLQ7uA2R3ro7Kde0Bd/B4wEOqDdUQh2R2hDM0F5GpH07d+608GAOizLwxN9btmyxHx74HaocnDPwkYJrJVbhJl5egYaE+RF8nezatcuCH5dQ/hScjC+ck+N8h3l/LOclmhfMKri+UF0IJ9yEOydClRFpmxPhxsk9yul1GKmN9n3wXaMiI+lzC2/X8Zb9hhtusOCANFlM7PUF/84m4QbnNhyr4jqDzzV7Gj9+fOD/queeey7sOYrrU0WYsh8a92/7vStW4QZWI7hfQHyLJeF+h3uFPcHnHCzGgv/vdHoOOr0HOc1vb3Oo307uKfHcY0PVaba5XbjBfdg8m+Fe4CTBKowWN06IMS8JkEA8BCjcxEONx5BAAgTs0U02b97sqCQVVlNHNAg+CKb9eIusQmTqyAkwP4bjWJgD2x9Qke+8886zTj31VD1xgWNJe2ratKn272Ci0HzyySeB3XioRYQVHIPlK4jagGgKiPSAhx086JglBugXJkJ4g928eXML5RYrVsxS4c113mCngPCFgQgRqBdvdzFhL6OimDz11FOB+mP9geUP8FFhzJ1h4QRHpCaKBXxcwNEhnD7bk5P+meNibfell16qo1MUKlRI9x+OeRGJw5wLnTt3NkXq71jLtR8EQQ9OrlEmInBgEoboPkgwJbcvN4ClF94Qwkkj8iJCjElwZKtC/epIMljKZ3cKiQfbqlWr6ughmPjCN0JweuONN3RkG4wjltDgvMBHhYO17r33Xp09Ujnbt2/X0W/Mcg+cWzhn69evH/hgcmJP8fCyHx/q9/r16y04vUSUErQFEZIwZiaajgqnrMcSEd+cji8ErOuvv16f7xdeeKH2d4Vr98EHHwwpHMR7Tpt+2YUbXHv33HOPHkNcI7hGr7nmmpD+Xszx4b5xXmFcEPkO44RzyozT+++/n+OwWO9R8VyHOSqK8Q/4uDCTNNwPcU9DxJh0pGwSbtBf+FkzLOzCOkRX3B/MPvwfg/vDtm3bkooJllqwdMC1hnMSS68wPtF83KjQ9lbFihX1/2dwJo1IYSjnp59+ytU+CDDwXYJ7Cc5X5IWDWtyv8H8P7lHYhv93cC+N9f86U5HTe5DT/KaecN9O7inx3GPD1Wvf7nbhZtSoUYFz3WkkORW+Xt/T7Tz4mwRIgASSTYDCTbKJsjwSiEAAPgTMQzB8KYSKVBDh8JC7hg4dqieWLVq0CERJgFjz+OOP67rsYTHxZhkTT0wW0Y5g4ebVV1/VkzrTxtmzZwfqRCQSmFXjrRL233jjjVocgqk9JpbYBj886BPKRzjX3bt3B45HWGBM6pDPvh3CCsQGfJYtW6bz4wGwffv2Om+fPn0CZcTyA0vKjG8G1IWHdNSLMOtow9y5c/WDPvbhLbJJsfbP5HfSbrQJogXqxAe/IYjMmDEjsA3OXJGclIv8sBCASIZyMXlZtGiRBWEDE2dMhFA3RAe7cAPR6uGHHw6E27ULN7B2so9zzZo1UY1OsJoZN25cYKKHibo9vffee3qih37ZEyZCmBhDMECKVA6uEUTxwAfCEvqF48y2KVOm5Hjz75SXvV3hfsMiAyIbzkmMC97Q4zw3k1icp3hDj2sYPJyMLyaQEL9QtnGAi23GUSyE0OD7QrzntOmfEW4wOYX4i2vL1G0EDFy7ThPGG+OCMLsYJ0QxMuNkj8jk5B7l9Dp02maTH/dIhCtGu/GJxZmqOTbR72wTbkyEKXAIdsaKsTOM7N8Qhnv27JlQ5C1Y1xgLVAiZiEqEBPEI4o0RBO33LsMe4jPagwm2sZJasmSJdnaL8OUQh+0JjppNfkQDgmNqCDfYBrEH5wMETIh4sIKz3wPD/V9nynd6D3Ka39QT7tvpPcXpPTZcvcHb3S7cGN+DOCcSdbwfzIZ/kwAJkEAyCFC4SQZFlkECMRL49ddfAw/BmEwnmuAUD5NJTEBCLXfBgzUeQmBybk+YcGF7sHBj8uCtI/bbhRuz75VXXgn0AZNNpNGjR+tJLB52TAhPuxhgjsUyLpRrhBs8uMNqA9uMdYjJizxoH6wdgh/CTZ5w33iQxbEo96KLLgoIWiY/3sjCYgTs8MbVnqL1D3njbTccgKJNsPrB5AEPumXLltUCC95ix1MuhC2UiTELXioACwLswyfU5MeERw41VhMmTNDH2YUbwwnWEygzWLiBhU24c6pNmzYB4SZaOWY/JlGoJ9xSqXh4mbIjfSOsNeoNvm4gjmK7ERODl1BFG1/UuXLlSl0GyoG1jkkQa4woinMwOCVyThvhBnVikmpPOGewHR+72GLPE+23WSqF6HfBKd57VCzXYXBdTv+2hy9GyGtYQaQjZZtwc+eddwbOAVilBCeERrZbwJnzBd+4h0LUjCfBwgxlwOIlWKzE/d9cD8H3LnNuwCoG9wB7MkJkp06dApvN/QpWbUbkwU5zf0RkI1wHaIP9/1FTD9oY6v86lOH0HuQ0P+qIluK9p6DcaPfYaHXb97tduDE+nTDe9pc69j7yNwmQAAlkkgCFm0zSZ92+IwBzZjwU4IM3+okmvPVEWSNGjAhZFJYyYT8eriEamQQrAmwPN8k2Ykoo4QYWDzgW1gb2cLrmgRcWH9gPk/RQJuuoEw94SMYxIh6c7Uu6TDvN21hYDzlNsD5BO8I5TO3SpYveD/8O9of5aP1DO+Jtt2kT6jYJkwUzaXFaLoQwM6HCsoFQCcunwCF48oO8JlJZKOEGghaOCyXcwOIE+4KFGyyJw3Ys0bMzRV2I5hP8FjNcOciPFG1S4ZTX/0qN/C98yBj/J8HWB48++qjuHyzKQqVo44tjYE2A6xGccK7ZE6zjsD3UWCGfKd/pOW0XboxVm71eLJdCvfDbE0+KJNzEe4+K5TqMp632Y2BhiH6bT8uWLe27U/Y724SbXr16BRjAuitUgq+yIUOGaOtKCCCGGb5hTRe8NC5UGfZtsFgz9y6Ie6HSHXfcoeuxXw/4fwKWhKg31P8LEPmxD9ewua8OGjRIbwu+brEfy6OQP/haR3tiOQed3oOc5g/FJXhbIveUaPfY4Loi/e124cbcf3E+BDvqjtRv7iMBEiCBdBGgcJMu0qyHBBQBvDU3k0I8HAT76nACyW69A4EmXMKbZNRl9xdjJnKJCDewLgiVYIVglrigXlh1wMcMHoyxzy7QYGkF8sBiKFR65pln9H7729NQ+UJtizbJxZIp1I0PwgCbZB7Ww/UP+eJtt2lTKIuKeMrFwyXaDyEg3LlkQqXaJz+mr8ayJFnCzRNPPBFgivPupptu0n4l4CvDTKJM3fhOVLiJdxzsbQj+DeHGOEX+4IMPcuw2PjeCJ4AmU7TxNfmWLl2ql2DhfoAEZ8eYfJnlHFiaESqZ8sMJN+HOaXO9Y6IcLKihHiPUwhIvnhROuEnkHhXLdRhPW80xsK7BfQpiovHThWsJYk6iafHixdpaC+dLqI85byEEhtqPbViiFByeO9Z2GUEE51MsCfdXcy+ExWS0hHv4F198oX16mOPOPPPMaIfl2G/uXfB9Zq6DHBnUH3fddZdul/3ehaWcps5wYpHxb4alwUgQnHBMqP9nIDphXyThJpn/F5ixD9UWtDXe//PivadQuAH1/yVznuB8uP/++81mfpMACZBA1hCgcJM1Q8GG+IWAcWqKhwO8dXSSYMpr3orDTwnKwCfSUiKz7Mn+EG8mcokIN3antcF9+FRFGcEDuWmf+cayIPiaMclMGLG/QoUKuT6nnXaa3maWppjjYvmONsm1TyphIWKSmTBG6l+87TZtsjt9NvXi22m51113nWYMx7/hUqTILMkWbjChM20yY45vCEs4/8wSOdPWRIUbp7xMvdG+jc+mAQMG5MgK/zDoD5aOhErRxtd+DJZpQFSD3xlMtNEXnO8oHz6LQiVTfjjhJtw5ba53WCqESoZjKAu7UPmDt4UTbhK5R8VyHQa3w8nfl19+ubYmg1CHJVPGnwos8Jw6jQ+uF8ILxjLcB06/Mc6YNIfLg3sllsDEk5wKNw0aNNDtQbvsUcvwQsD4QgrXDojy6As+wRGZwh2D7eY+AcvMcCmUcGMsAVEfxOFw/29ASDLCDXzKID8sO+0Ct1lihKWr8LsVnGI5B821g/LDtQXbzf9hTvMHtynS3/HcU1Il3MAHUbQEsQljGC7FasFjXk5gDGIJ4Y3losOHD89VLe6rKAMf3NOcJCwzjcdPmJM6mJcESIAEKNzwHCCBNBPAA4N5OMBbVScJkaKwPAYJPmFMOZEeVoxwY4+SYCZyiQg3iKQTKWGSjigNcPho2oD2YnJgBCtEf8I2PMQnO0Wb5OKNu+EXSriJ1L94223ahLfVoZLTco3AgHLDpXQKN6YNWC4HR4+IQmO3MAse53iEG1ghGEsEp7xM+6J94yEc5waWhMA/BqxUJiifP3g7j4lXcFQ0U1608UU+iFtYAgIxCxYfWOZofOUMHDhQ1xuvcBPunE7kejd9i/QdTrhJ5B5lJs2RrsNIbYq0D8sKIdQYZ7jIa64TjDv8MaUyZdNSKVxLJtodrld7gnVIKL9F9jzw2WIExzfffNO+K+Jvc++CY+twyTiLtVvcwJ+OuW878clkLF06duyo/dmsX7/eMoJVuGWmsZyDTu9BTvOHY2Pfnsg9JZRwY7/H2uuJ9ttuUdyqVato2bVT93BiMg6OVbixW8qsWLEiar1Y4jtmzJhc+bDc2yzDg9WWWf6dK2OIDfANler7RohquYkESMBnBCjc+GzA2d3ME4ATRLMU4/zzzw9rJh7cUvgYwJtB80YU/mXMA2wovxU4Hg9Sxmzc7gcn2kTOhM4O9QY+2sMs3tKa6EH2PuCBCpFC0Gbz9vGSSy7Rfzds2NCeNSm/zSQ6nHUC/CoYfnYfC9H6h8bF227TpnDCjdNyIcahD3iTHC6ZCal98mPyRrK4wYQNZTvxcQMfAVjyY094+IZACZ9IsASwix7xCDewgjG+LZzysrcr0m+EpIZjVAgoxp8HJlywADCiUajjo40vjkE0L3DFPSDYB1SwcIOwveBnkinf6Tkd7Xo3VgChrndTd6TvcMJNIveoWK7DSG0Ktw9WSRhTLOuzJ9xXTXQsjE+w03J73kR/Z5NwY5Y3QkiE4GpPbdu2tfr27WvfFPI3JqxgNnXq1JD7Q200PsYiLUMKZXFjHA2jPlh2xppg2YN7oLmGIFYh2iDCOIdLsZyDTu9BTvOHa5t9eyL3lFDCjf0ea68nlt9VqlTR5wL+r4+W8BwAv2jhUqzCDULU43zAZ+bMmeGK09tRJv4vCj7XzUGwpjRlIRpirAnLgmFpx0QCJEACqSRA4SaVdFk2CYQhYCbFeECwR5YJk11vhh+CYPNjmGCjDETSCJW++uqrwEOIXdwxE+ZQb7tgXYAHG5QbaiIX7WEWvgLwNts+QTdt27hxo7Y0MG/jELkB9cCSIZxJPhwpBy9ZMeVF+jYP6G+99VbIbP369dN1QwyzL+GJ1j8UFm+7TZvCCTdOy7WbdmM5QKhkHC6GEm6aN2+uGYR6+2givjgRbuD7BUsnQiXjv8X+RtSch8FOjs3xRkCcN2+e2aRDqZtJt1NegUKi/OjRo4eFZYlIED+DI9eEOzza+OI4RJPDOR9quZWZzBqLG5j02yenpnyn53SmhBv0N957VCzXIcp3kjCWWM6ASHOhfC7BEtA4q0W4dkR6S0XKFuEGy4MQOhvn46233pqrqxBuMH6hWNkzX3zxxbqMYNHWnif4NybYqBeC0YYNG4J367+N02T7vQsCm2kzLHLCJYS8x/83SCZymlkCh+sZ50K0FMs56PQe5DR/tDZifyL3lGj32Fjqt+cxLwrwDLF161b7rhy/sWQNol0o/2omY6zCDfIVLVpUn0/du3c3h4f8Rn1wxh5u/FGWEbIrVqwY073/+++/10u+8M1EAiRAAqkkQOEmlXRZNglEIGAiJuHNOyZWkRLe/sL3QvBEAua5ePiF35xQk0tjkRHs7BRr/3Ec6g5OEydO1Puwf8aMGcG79Zto7MPDeqgE4Qb7ET0jOGEpBx7U8UCOBHGnatWqOr/debI5Dg/p8AGCiEROk5nkhnIyiFDc5kHPvkwKdRgfCuH6hzzxtts8ENotfFCeSU7LhYl8o0aNND+E4g5O6KeZ5NgnPyZf586dQ7JHuVhGh3HE+ASnJUuW6H3Bb8sh3GAigIff4GTORbsviXDlmGON01i7w9i6desG/CQ55WXKjfbdu3dvfb3BWe+ePXu0X4xok1eUGW18cT4bZ6jBYhnKN8sorr32Wt1EjC2ES5PiPaeNlQL8ToVKmKBgrEMJtaHyB28zvn/GjRsXvEs7p0bZTu9RsVyHuSqLssFEBbOLh8GHGKsntBnLPFORUinc4BwzwnsoMcb0B9ZQ5vqCA3mIG8EJwg04RLK6gX81CPWwsAg3GQ4uF3+jnbB4QfkYl+CEaxv3fuy3R+FDPiyXwv8jsBax309MGeCLc938nwhhHkwgiMIPD0SDUE66zfHmO5Zz0Ok9yGl+05Zw34neU8w5EO4eG67ecNthkQhLYoybuY+Fyov/lzF++D8qXMLYohx8gpfZBh9jnluwFDucbyiMPXzqGOE/uAzzN+4P5vkA/6/i/8NwCctc8X8kXgQxkQAJkECqCVC4STVhlk8CYQjgIRemwngowYNvz549LYQLtyc85MFcHKJNuIgvxkwa1hOYZCLhgRXLSVA2TJdDPRyZhyu7s2D4z6lcubJ+I4Vj8aCLbXg4xAMZ3iiZCCRYbjB//ny93MP+wG6EGzz42AUK5IFggzfaq1evDnQTfYbFBR6sYYlkHpJQHx7WMOFzstbcFGwmueiHXUTC8hNMVLAdD2Wm7bH2z5TvpN3rlT8FsDBL5GB9gugtoayMnJSLtiAiEZYBoD9Y628SJmIm3Df2hRJujPNY+HowjCEgwOIE5wGOwzIsRG8xEx68Ve/fv7/eh8kTIhlBkEOCcINjrr/++hxOQPFGHUsTsB0JE6dI5ehM6h9zbqMfGCf4JEE55jxHPqe8TNmRvmERZQQW9Md8cJ3iXMW1Cms2k5yML3y2oDxMdM344/rC8kL4/QBT+ITCtYY36ThfTXJ6TkNAA2dMvFEnlqrheseySyS0G9cwxhj7IfBiqaM5F0y94b4x7uBgBCe0H8cHO0s34xjLPcrpdRiubWY7JmFYwtOiRYvAOOL6C+UfBUvXHlFRpsx44xuWVxDWI/kRM3XF+p0K4QbWJIi4ZCw60HbcO7EN44EP7ruw0sP1jesI5xpEynDjbYQblAWRN/jFAerENY97dziLv0hMMDHHvQvXmn2ZFe5psIoy44CQ8rgmjcUMyjRRqRCdydx/sB33Kog2wVZpsF4z5ZlvtBtLiS+77DLtj80IPU7PQaf3IKf50a9IKZF7irk2I91jI9Udah/+r8A9DJwRit1wRV7ck+DjC/ci3HtCJSxnxL0eS4/MWOEFBERsXKPGJ1jwscbaB/fJ4OhoqAtO/LE0y/yfH3y8/W/UDwfhqB/naKglWLCGhFiPe0u4NtnL5G8SIAESSJQAhZtECfJ4EkiQAP7zNw9emEDhwQIOFDGZxkMl3ogFT4SCq8Tbe1g64G0ThBo8lEM4wXIM+0OT/Tg8HGHyCOexqB8PbnjzjokdrBrMAxO+4WQUdeABG2XDqSrKxzIjPIDZwybjeJQJUQrLDfAAjjfXePjGw1woAQoTe0wS8CCNsuHzBmIVhCP7MiZ7+6P9NpNcPODDdwX6BrZoP970BS9Ri7V/9npjbTcm+2ACZugf2oCxChcSNtZyTVvwoPz/2rub5CayJQyg+fbFkCnBRnrGVmBCMGHOQohgCWzm5VcRom1jgeRGkCaPItxtbP3kPVkqqz7dukrIlV7k01QyWyjvLOZdzcdONzjdLv/P+jPpY3wycyIvRNOL9PTuNpDf5wA2j5EAKuPI9plx5Pq5ZHHTbEs5SMp09JwSl4P5bNc58MsBWS4/u5/jSv2fBDx5kZ86sjB3Qr8caDy8XOv18PYP/513nzO2jDMBZ9a7yfZ7OiUh9WRMp5ly1/Q3YU3WQ0gIFLtsk3mMhCZ5riYUywF1vh6eInjtNp1TzPKcPfUr20R6nedWLjlV8uF2mevn+X7JJTOCMo5YZXtImJt/P7bo+aX7qKc8D8/VmkAsjqcxpn+pM/9ODx5eEizmd3HKdeN0eq5mAd5fdblFcHM3mLr7vH34fXqUfX1OaTy3zsdpnHleJ+T++vXrMTsm20Z6ntMv89yOUw6oz31K3ul+fvT/7LuycHD2/XmOZd+V7Sfh0j///HNvH/Rw1sX79++Pg/H0OH/LMkMnB+cPPyY8wc7r16+P+8qpX3m+JZhO4Hg6NS5OWaspbxw8ZRu8dh907fV/ZPhf9imX7mN/9PiP/S4BSwKxuObvfk7zzie55TmVvyWZBXjukt+fXmfkeXh6LmZ7y/MzYdC5S2bQ5nVHtqc8fh73FA7mTbDHZoOeu68Ei5kNlvvLOLJ9ZhvM8yJ/Z7Ovy2zgS4Kgc4/h5wQIELhG4H+5cu+QXAgQ+MMC/Q5w9RTf6nfIq2cUVIcN1Qf21aejXFRZz5Sofgf9+Op3iqoPJqtf0P70tn0wXf1ObHWoUH2Aely/T2FJqFv9gqX6RVP1C6aL7is37llC1dPwq19EV78LVf3OV3X4ctTTL+B+eD89M+gYfx673y2ufpH20/rPXSGP37MWqt9hrlevXlW/y1n9Llr1wW91CHDuZk/6+a+s+24B195vrp/tqA8+qg9Mjt71OhDVn2RWPeOm3r17d/fuv33fLzyrZ2EcfesDteoD8eoZO9Vrfhz3cdoO+oXqt9s89k3Ptjj6nutlW+xZCse20y94q1+IP3aTi37Wp/ZVHwhUv1iuPjA7e5trvR67oz4YrD6tqzpoql47qvpA497VetbB4dmBV3VYWn0Adu/3l/6j39U/xtQHEtWzFu5t632gWTGM+93L79ym7z7ur/r+qfuoX/X4U+6nT8GpDqWrZ7pUBwdTyvqujg6YKvuDPpA+ftdrxlTPsDq+so/uNxWqT3c6nuPf3fjKH2R/k31Xh5nHvr8D4mN/lOdX/gblK8/FDo/u3XO2qexncr0Onb/bP+TvUa/TVdk39KdeVS8OfO/22Vf2bMjKfjJ/qzrQr37j5N51rvnHtfuga6//o1qesk853d+l+9jT9S/9f8/Yrc+fPx/7uuzP8rom20wHyJfexdXXyz61Z/4e21N887qm34z6th1fe4cdblWHnMcYsq31Gz/Htp+xdIB/7d25PgECBJ4sILh5Mp0bEiAwWeDhQe7kWm9Z2yXBzS0f/7ndd787Wz3DoHomQPXsjLPl96yw6qn7lYPZvJD/HRfb9O9Qvv1j9CmK1et/VK+zUj0z4PYPuPgR+hPiqk+JrZ4BWglbz1165mv1TKTqdYGqPx783NX8nAABAgQI/DEBwc0fo/fABAjcUiAza/IObp+bXj2t/5YPNfq+BTfXtSczvTJTqz8R5Zh5dO7Wedc4sw8yA+e/zCY6d/+P/dw2/ZjK8/tZZqtkhkNmILrcViD7/z4FtPpT8qrXQDn7YL1WV718+bJ6kdnqU3HOXs8vCBAgQIDAnxIQ3PwpeY9LgMDNBHLQndNzchpYL3BYvdbPyne2e82U46Al08ZzikB/atC9U3Ju1oBnfMe9SOoxG6LX66mc0pLToe5eMg2/F/utt2/fVi/sWv1paHd/fbPvbdM3o3XHf7FAZjW9ePGicspOf+rZcRrUw1lOOZWn17epnDLaiyBXr33zF4sYGgECBAg8VwHBzXPtnLoJEHhUIGugZI2du5es9fPp06fjxfndn//N3/cn59SHDx++G2J/DH19/Pjxu5/7wb8CX758Od6h708iqV5s+QgBc1CX2TW9uPax9sybN2+qF07+90Y3/M42fUNcd/3XC2SNkv5kwWPNqqzXllOisqZb1hjKcz1rc/XiztUL2363Rs5fj2OABAgQIPBsBAQ3z6ZVCiVA4BKB/sjY6k+TORZ3zTureXGemSdZGDGL7m65ZKHK/lSMwyELemYRzjjkwCVfLj8XSACY9W7ylYO/rGXTn0pzLLD581v/umvYpn+dpXvaK5DF8rP4f57PWcw4+8H+tLBjAeYsfuxCgAABAgQmCwhuJndHbQQIECBAgAABAgQIECBAgMBqAcHN6vYbPAECBAgQIECAAAECBAgQIDBZQHAzuTtqI0CAAAECBAgQIECAAAECBFYLCG5Wt9/gCRAgQIAAAQIECBAgQIAAgckCgpvJ3VEbAQIECBAgQIAAAQIECBAgsFpAcLO6/QZPgAABAgQIECBAgAABAgQITBYQ3EzujtoIECBAgAABAgQIECBAgACB1QKCm9XtN3gCBAgQIECAAAECBAgQIEBgsoDgZnJ31EaAAAECBAgQIECAAAECBAisFhDcrG6/wRMgQIAAAQIECBAgQIAAAQKTBQQ3k7ujNgIECBAgQIAAAQIECBAgQGC1gOBmdfsNngABAgQIECBAgAABAgQIEJgsILiZ3B21ESBAgAABAgQIECBAgAABAqsFBDer22/wBAgQIECAAAECBAgQIECAwGQBwc3k7qiNAAECBAgQIECAAAECBAgQWC0guFndfoMnQIAAAQIECBAgQIAAAQIEJgsIbiZ3R20ECBAgQIAAAQIECBAgQIDAagHBzer2GzwBAgQIECBAgAABAgQIECAwWUBwM7k7aiNAgAABAgQIECBAgAABAgRWCwhuVrff4AkQIECAAAECBAgQIECAAIHJAoKbyd1RGwECBAgQIECAAAECBAgQILBaQHCzuv0GT4AAAQIECBAgQIAAAQIECEwWENxM7o7aCBAgQIAAAQIECBAgQIAAgdUCgpvV7Td4AgQIECBAgAABAgQIECBAYLKA4GZyd9RGgAABAgQIECBAgAABAgQIrBYQ3Kxuv8ETIECAAAECBAgQIECAAAECkwUEN5O7ozYCBAgQIECAAAECBAgQIEBgtYDgZnX7DZ4AAQIECBAgQIAAAQIECBCYLCC4mdwdtREgQIAAAQIECBAgQIAAAQKrBQQ3q9tv8AQIECBAgAABAgQIECBAgMBkAcHN5O6ojQABAgQIECBAgAABAgQIEFgtILhZ3X6DJ0CAAAECBAgQIECAAAECBCYLCG4md0dtBAgQIECAAAECBAgQIECAwGoBwc3q9hs8AQIECBAgQIAAAQIECBAgMFlAcDO5O2ojQIAAAQIECBAgQIAAAQIEVgsIbla33+AJECBAgAABAgQIECBAgACByQKCm8ndURsBAgQIECBAgAABAgQIECCwWkBws7r9Bk+AAAECBAgQIECAAAECBAhMFhDcTO6O2ggQIECAAAECBAgQIECAAIHVAoKb1e03eAIECBAgQIAAAQIECBAgQGCygOBmcnfURoAAAQIECBAgQIAAAQIECKwWENysbr/BEyBAgAABAgQIECBAgAABApMFBDeTu6M2AgQIECBAgAABAgQIECBAYLWA4GZ1+w2eAAECBAgQIECAAAECBAgQmCwguJncHbURIECAAAECBAgQIECAAAECqwUEN6vbb/AECBAgQIAAAQIECBAgQIDAZAHBzeTuqI0AAQIECBAgQIAAAQIECBBYLSC4Wd1+gydAgAABAgQIECBAgAABAgQmCwhuJndHbQQIECBAgAABAgQIECBAgMBqAcHN6vYbPAECBAgQIECAAAECBAgQIDBZQHAzuTtqI0CAAAECBAgQIECAAAECBFYLCG5Wt9/gCRAgQIAAAQIECBAgQIAAgckCgpvJ3VEbAQIECBAgQIAAAQIECBAgsFpAcLO6/QZPgAABAgQIECBAgAABAgQITBYQ3EzujtoIECBAgAABAgQIECBAgACB1QKCm9XtN3gCBAgQIECAAAECBAgQIEBgsoDgZnJ31EaAAAECBAgQIECAAAECBAisFhDcrG6/wRMgQIAAAQIECBAgQIAAAQKTBQQ3k7ujNgIECBAgQIAAAQIECBAgQGC1gOBmdfsNngABAgQIECBAgAABAgQIEJgsILiZ3B21ESBAgAABAgQIECBAgAABAqsFBDer22/wBAgQIECAAAECBAgQIECAwGQBwc3k7qiNAAECBAgQIECAAAECBAgQWC0guFndfoMnQIAAAQIECBAgQIAAAQIEJgsIbiZ3R20ECBAgQIAAAQIECBAgQIDAagHBzer2GzwBAgQIECBAgAABAgQIECAwWUBwM7k7aiNAgAABAgQIECBAgAABAgRWCwhuVrff4AkQIECAAAECBAgQIECAAIHJAoKbyd1RGwECBAgQIECAAAECBAgQILBaQHCzuv0GT4AAAQIECBAgQIAAAQIECEwWENxM7o7aCBAgQIAAAQIECBAgQIAAgdUCgpvV7Td4AgQIECBAgAABAgQIECBAYLKA4GZyd9RGgAABAgQIECBAgAABAgQIrBYQ3Kxuv8ETIECAAAECBAgQIECAAAECkwUEN5O7ozYCBAgQIECAAAECBAgQIEBgtYDgZnX7DZ4AAQIECBAgQIAAAQIECBCYLCC4mdwdtREgQIAAAQIECBAgQIAAAQKrBQQ3q9tv8AQIECBAgAABAgQIECBAgMBkAcHN5O6ojQABAgQIECBAgAABAgQIEFgtILhZ3X6DJ0CAAAECBAgQIECAAAECBCYLCG4md0dtBAgQIECAAAECBAgQIECAwGoBwc3q9hs8AQIECBAgQIAAAQIECBAgMFlAcDO5O2ojQIAAAQIECBAgQIAAAQIEVgsIbla33+AJECBAgAABAgQIECBAgACByQKCm8ndURsBAgQIECBAgAABAgQIECCwWkBws7r9Bk+AAAECBAgQIECAAAECBAhMFhDcTO6O2ggQIECAAAECBAgQIECAAIHVAoKb1e03eAIECBAgQIAAAQIECBAgQGCygOBmcnfURoAAAQIECBAgQIAAAQIECKwWENysbr/BEyBAgAABAgQIECBAgAABApMFBDeTu6M2AgQIECBAgAABAgQIECBAYLWA4GZ1+w2eAAECBAgQIECAAAECBAgQmCwguJncHbURIECAAAECBAgQIECAAAECqwUEN6vbb/AECBAgQIAAAQIECBAgQIDAZAHBzeTuqI0AAQIECBAgQIAAAQIECBBYLSC4Wd1+gydAgAABAgQIECBAgAABAgQmCwhuJndHbQQIECBAgAABAgQIECBAgMBqAcHN6vYbPAECBAgQIECAAAECBAgQIDBZQHAzuTtqI0CAAAECBAgQIECAAAECBFYLCG5Wt9/gCRAgQIAAAQIECBAgQIAAgckCgpvJ3VEbAQIECBAgQIAAAQIECBAgsFpAcLO6/QZPgAABAgQIECBAgAABAgQITBYQ3EzujtoIECBAgAABAgQIECBAgACB1QKCm9XtN3gCBAgQIECAAAECBAgQIEBgsoDgZnJ31EaAAAECBAgQIECAAAECBAisFhDcrG6/wRMgQIAAAQIECBAgQIAAAQKTBQQ3k7ujNgIECBAgQIAAAQIECBAgQGC1gOBmdfsNngABAgQIECBAgAABAgQIEJgsILiZ3B21ESBAgAABAgQIECBAgAABAqsFBDer22/wBAgQIECAAAECBAgQIECAwGQBwc3k7qiNAAECBAgQIECAAAECBAgQWC0guFndfoMnQIAAAQIECBAgQIAAAQIEJgsIbiZ3R20ECBAgQIAAAQIECBAgQIDAagHBzer2GzwBAgQIECBAgAABAgQIECAwWUBwM7k7aiNAgAABAgQIECBAgAABAgRWCwhuVrff4AkQIECAAAECBAgQIECAAIHJAoKbyd1RGwECBAgQIECAAAECBAgQILBaQHCzuv0GT4AAAQIECBAgQIAAAQIECEwWENxM7o7aCBAgQIAAAQIECBAgQIAAgdUCgpvV7Td4AgQIECBAgAABAgQIECBAYLKA4GZyd9RGgAABAgQIECBAgAABAgQIrBYQ3Kxuv8ETIECAAAECBAgQIECAAAECkwUEN5O7ozYCBAgQIECAAAECBAgQIEBgtYDgZnX7DZ4AAQIECBAgQIAAAQIECBCYLCC4mdwdtREgQIAAAQIECBAgQIAAAQKrBQQ3q9tv8AQIECBAgAABAgQIECBAgMBkAcHN5O6ojQABAgQIECBAgAABAgQIEFgtILhZ3X6DJ0CAAAECBAgQIECAAAECBCYLCG4md0dtBAgQIECAAAECBAgQIECAwGoBwc3q9hs8AQIECBAgQIAAAQIECBAgMFlAcDO5O2ojQIAAAQIECBAgQIAAAQIEVgsIbla33+AJECBAgAABAgQIECBAgACByQKCm8ndURsBAgQIECBAgAABAgQIECCwWkBws7r9Bk+AAAECBAgQIECAAAECBAhMFhDcTO6O2ggQIECAAAECBAgQIECAAIHVAoKb1e03eAIECBAgQIAAAQIECBAgQGCygOBmcnfURoAAAQIECBAgQIAAAQIECKwWENysbr/BE83Lze4AAAMlSURBVCBAgAABAgQIECBAgAABApMFBDeTu6M2AgQIECBAgAABAgQIECBAYLWA4GZ1+w2eAAECBAgQIECAAAECBAgQmCwguJncHbURIECAAAECBAgQIECAAAECqwUEN6vbb/AECBAgQIAAAQIECBAgQIDAZAHBzeTuqI0AAQIECBAgQIAAAQIECBBYLSC4Wd1+gydAgAABAgQIECBAgAABAgQmCwhuJndHbQQIECBAgAABAgQIECBAgMBqAcHN6vYbPAECBAgQIECAAAECBAgQIDBZQHAzuTtqI0CAAAECBAgQIECAAAECBFYLCG5Wt9/gCRAgQIAAAQIECBAgQIAAgckCgpvJ3VEbAQIECBAgQIAAAQIECBAgsFpAcLO6/QZPgAABAgQIECBAgAABAgQITBYQ3EzujtoIECBAgAABAgQIECBAgACB1QKCm9XtN3gCBAgQIECAAAECBAgQIEBgsoDgZnJ31EaAAAECBAgQIECAAAECBAisFhDcrG6/wRMgQIAAAQIECBAgQIAAAQKTBQQ3k7ujNgIECBAgQIAAAQIECBAgQGC1gOBmdfsNngABAgQIECBAgAABAgQIEJgsILiZ3B21ESBAgAABAgQIECBAgAABAqsFBDer22/wBAgQIECAAAECBAgQIECAwGQBwc3k7qiNAAECBAgQIECAAAECBAgQWC0guFndfoMnQIAAAQIECBAgQIAAAQIEJgsIbiZ3R20ECBAgQIAAAQIECBAgQIDAagHBzer2GzwBAgQIECBAgAABAgQIECAwWUBwM7k7aiNAgAABAgQIECBAgAABAgRWCwhuVrff4AkQIECAAAECBAgQIECAAIHJAoKbyd1RGwECBAgQIECAAAECBAgQILBaQHCzuv0GT4AAAQIECBAgQIAAAQIECEwWENxM7o7aCBAgQIAAAQIECBAgQIAAgdUCgpvV7Td4AgQIECBAgAABAgQIECBAYLKA4GZyd9RGgAABAgQIECBAgAABAgQIrBYQ3Kxuv8ETIECAAAECBAgQIECAAAECkwUEN5O7ozYCBAgQIECAAAECBAgQIEBgtcD/AbMxXLx7S+/7AAAAAElFTkSuQmCC)\n",
        "\n",
        "\n",
        "> What is the fewest number of semesters in which this degree can be achieved? (Assume these are the only courses in the degree)"
      ],
      "metadata": {
        "id": "N5SF6PGKmVqy"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Topological Sort aka Linearizing a DAG\n",
        "\n",
        "We can sort the vertices of a DAG such that all edges only go from \"left\" to \"right\".\n",
        "\n",
        "For example, the prerequisite graph for the DS degree can be linearized and it would look like this -\n",
        "\n",
        "![Screenshot 2026-03-04 at 2.44.18 PM.png](data:image/png;base64,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)"
      ],
      "metadata": {
        "id": "hC3kpa5incd7"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Ideas for navigating through the program\n",
        "\n",
        "1. Find the source vertex. This would correspond to a course that does not have any prerequisites.\n",
        "\n",
        "2. Run DFS starting from this vertex. The sequence in which vertices are visited represents a valid way of navigating through the program.\n",
        "\n",
        "> Can you see why this approach may not work?\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n"
      ],
      "metadata": {
        "id": "FYS-qAeZpGtr"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Sorting the courses\n",
        "\n",
        "The main idea here is to sort the courses in such a way that we can just navigate through the program in the sorted order and successfully finish the requirements for the degree.\n",
        "\n",
        "How do we do it? Well, notice that the *first vertex whose explore call concludes must be a sink vertex*.\n",
        "\n",
        "How can we find a sink vertex? Just run dfs.\n",
        "\n",
        "What next? The next vertex whose explore concludes must be either a sink vertex or it has edges to the previous sink vertex (and no more). In this way, we can find the next vertex in the sorted order.\n",
        "\n",
        "We can repeat this process until all vertices have been sorted."
      ],
      "metadata": {
        "id": "SR5rz1oBqSCP"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "![Screenshot 2026-03-04 at 3.12.33 PM.png](data:image/png;base64,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)"
      ],
      "metadata": {
        "id": "bNlK_KsPsarx"
      }
    }
  ]
}