{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "dc91c4d2-c1a1-481a-927c-8e135036eb32",
   "metadata": {},
   "source": [
    "# Maximale Matchings"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d07a6fd3-06e8-4e6b-a6b2-3d6d9ad5a4d1",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3cbe529e-0a2b-4901-94a1-f45e614121d6",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-danger\">\n",
    "<b>Ziel des Notebooks:</b>\n",
    "    \n",
    "- Grundlegendes Konzept von Matchings verstehen\n",
    "    - maximale Matchings\n",
    "    - kardinalitätsmaximale Matchings\n",
    "    - perfekte Matchings\n",
    "- Zusammenhang zwischen maximalen Matchings, stabilen Mengen, Knoten- und Kantenüberdeckungen verstehen\n",
    "- Kriterium für maximale Matchings anwenden können\n",
    "- Algorithmen zur Berechnung eines maximalen Matchings anwenden\n",
    "    - Edmonds Matching-Algorithmus\n",
    "\n",
    "<br>\n",
    "    \n",
    "<b>Mathematische Tools:<b>\n",
    "- Graphentheorie\n",
    "    - Matchings\n",
    "    - stabile Mengen\n",
    "    - Kantenüberdeckungen\n",
    "    - Knotenüberdeckungen\n",
    "- Satz von Gallai\n",
    "- alternierende und augmentierende Pfade\n",
    "    \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a92eba68-6af7-4acd-96f2-8ad3988d5de9",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1043824e-1948-484e-a6cb-b7c1a0c94eb1",
   "metadata": {},
   "source": [
    "Ein Lehrer unterrichtet zwei Mathe-Leistungskurse an einem Gymnasium. Für das neue Thema will er Referate vergeben, die in Partnerarbeit vorgetragen werden sollen. Es dürfen aber nur Schüler/-innen zusammenarbeiten, die im Klassenraum nebeneinander sitzen, damit sie beim Arbeiten gut kommunizieren können. Außerdem darf jede/-r Schüler/-in nur maximal ein Referat bearbeiten. <br>\n",
    "Die Informationen über die Sitzordnung des Mathe-LKs kann man anhand eines ungerichteten Graphens darstellen. Dabei stellt jeder Knoten eine/-n Schüler/-in dar und zwei Schüler/-innen sitzen genau dann nebeneinander, wenn die entsprechenden Knoten inzident sind. <br> \n",
    "Wir bezeichnen diesen Graphen im Folgenden mit $G_1=(V_1,E_1)$."
   ]
  },
  {
   "attachments": {
    "cb76fae2-9fc3-449d-9456-61adb077a51d.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "7489e510-69ea-47ce-9bb4-176c7fb64b28",
   "metadata": {},
   "source": [
    "<div>\n",
    "<img src=\"attachment:cb76fae2-9fc3-449d-9456-61adb077a51d.png\" width=\"400\"/>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a525e02a-b2b3-4404-829c-45d253247b4f",
   "metadata": {},
   "source": [
    "In diesem Graphen kann man auch kenntlich machen, welche Schüler/-innen zusammen ein Referat halten. Wenn der Lehrer nur ein Referat auf zwei Schüler/-innen $v$ und $w$ verteilt, so wird die Kante zwischen den beiden Knoten rot eingefärbt."
   ]
  },
  {
   "attachments": {
    "7cecff44-275e-45f4-96f3-7499a0237e44.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "4b43e2cb-afc8-491f-84e1-8fcb9a478cfb",
   "metadata": {},
   "source": [
    "<div>\n",
    "<img src=\"attachment:7cecff44-275e-45f4-96f3-7499a0237e44.png\" width=\"400\"/>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "25adb00b-b44f-41b8-9cf7-3c33f5af7d40",
   "metadata": {},
   "source": [
    "Werden noch genau zwei weitere Referate an den Kurs vergeben, dann sähe eine mögliche Verteilung so aus."
   ]
  },
  {
   "attachments": {
    "960ffc2d-8b02-4139-a463-48cb3a69aceb.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "e0f5bc1d-5ea2-4932-a4d2-ab064580111c",
   "metadata": {},
   "source": [
    "<div>\n",
    "<img src=\"attachment:960ffc2d-8b02-4139-a463-48cb3a69aceb.png\" width=\"400\"/>\n",
    "</div>"
   ]
  },
  {
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"
    }
   },
   "cell_type": "markdown",
   "id": "8dfb7f3f-2697-41b1-a0d5-136b9c5c8f42",
   "metadata": {},
   "source": [
    "Die folgende Einärbung des Graphen würde keiner gültigen Verteilung von Referaten entsprechen.\n",
    "\n",
    "<div>\n",
    "<img src=\"attachment:b2a1cfe2-391a-406d-941a-7f49ccf02a96.png\" width=\"400\"/>\n",
    "</div>\n",
    "\n",
    "Das liegt daran, dass ein Punkt inzident zu mehr als einer roten Kante ist. Da wir aber oben gefordert haben, dass jede/-r Schüler/-in höchstens ein Referat halten soll, darf jeder Punkt auch nur maximal zu einer roten Kante inzident sein."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a8e55c42-27ef-4fc1-9845-e1f4d619c25d",
   "metadata": {},
   "source": [
    "Dieses Auswählen von bestimmten Kanten in einem Graphen nach diesem Kriterium entspricht natürlich auch einem bereits vorhandenen Konzept in der Graphentheorie. Es handelt sich hierbei um <b>Matchings</b>."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fa3a91b7-1b89-4f5c-8c63-60868656c0ce",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "Sei $G=(V,E)$ ein ungerichteter Graph mit Knotenmenge $V$ und Kantenmenge $E$. Ein <b>Matching</b> von $G$ ist eine Teilmenge $M \\subseteq E$, sodass jeder Knoten zu maximal einer Kante in $M$ inzident ist. Eine Teilmenge von Kanten mit dieser Eigenschaft nennen wir auch <b>paarweise Kantendisjunkt</b>. <br>\n",
    "Ein Knoten $v\\in V$ ist von $M$ <b>überdeckt</b>, wenn eine Kante $e\\in M$ existiert mit $v\\in e$ (d.h.: $e$ verbindet $v$ mit einem anderen Knoten). Andernfalls nennt man $v$ <b>exponiert</b>.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "37039b95-523c-4b26-aecb-15679a07a53e",
   "metadata": {},
   "source": [
    "Eine gültige Verteilung von Referaten nach den obigen Kriterien entspricht also einem Matching im Graphen $G_1$.\n",
    "\n",
    "Möglicherweise möchte der Lehrer die Referate genau so verteilen, dass möglichst viele Referate gehalten werden oder sogar jede/-r Schüler/-in genau ein Referat hält. Matchings mit diesen besonderen Eigenschaften haben sogar eine eigene Bezeichnung."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "912f7a3d-9bfe-4ab5-83e5-8367407035ba",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "Sei $G=(V,E)$ ein ungerichteter Graph mit Matching $M\\subseteq E$. $M$ heißt \n",
    "    \n",
    "- <b>inklusionsmaximales Matching</b> genau dann, wenn keine Kante $e\\in E \\setminus M$ existiert, sodass $M \\cup \\{e\\}$ ein Matching ist.  <br>\n",
    "\n",
    "- <b>maximales Matching</b> genau dann, wenn für alle anderen Matchings $M' \\subseteq E$ von $G$ gilt, dass $|M'|\\leq |M|$.\n",
    "    \n",
    "- <b>perfektes Matching</b> genau dann, wenn jeder Knoten $v\\in V$ von einer Kante $e\\in E$ überdeckt wird.\n",
    " \n",
    "Die <b>Matching-Zahl</b> $\\nu(G)$ ist definiert als $\\nu(G):= \\max\\{ |M| \\mid M\\subseteq E \\text{ ist ein Matching von G} \\}$.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7907fd33-3135-4889-a211-41bb34ac3d76",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "    \n",
    "### Aufgabe\n",
    "***\n",
    "Finden Sie ein maximales und ein inklusionsmaximales Matching im obigen Graphen $G_1$.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2059e7b3-f313-46d7-9826-3ec9bc467866",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "    \n",
    "### Aufgabe\n",
    "***\n",
    "Sei $G=(V,E)$ ein ungerichteter Graph. Beweisen oder widerlegen Sie die folgenden Aussagen.\n",
    "    \n",
    "1. Matchings sind genau dann maximal, wenn sie inklusionsmaximal sind.\n",
    "3. Für jedes maximale Matching $M$ gilt $|M|= \\frac{1}{2} |E|$.\n",
    "4. Für jedes Matching $M$ gilt $|V(M)|=2|M|$, wobei $E(M) := \\{  v \\in V \\mid \\exists w\\in V: \\ \\{v,w\\}\\in M\\}$.\n",
    "5. Ein Matching ist perfekt genau dann, wenn es maximal und inklusionsmaximal ist.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fd4e5142-6992-46ab-a776-7bbf883fa1ab",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1cc9a5d3-0e72-450f-8bcf-b90d64d3d2a1",
   "metadata": {},
   "source": [
    "In derselben Schule gibt es eine besonders verhaltensauffällige Klasse, die 5a. In der Klasse gibt es sehr oft Zoff zwischen den Schüler/-innen, was die Lernatmosphäre sehr erschwert. Zufälligerweise bietet die Schule eine Ausbildung zum/zur Streitschlichter/-in an. Es wird empfohlen, dass jede/-r Schüler/-innen mindestens mit einem/einer Streitschlichter/-in befreundet ist, um sich beim nächsten Streit beraten lassen zu können. Der Klassenlehrer kennt seine Schüler so gut, dass er genau weiß, welche Schüler/-innen genau miteinander befreundet sind. Da er ein großer Fan von kombinatorischer Optimierung und Graphentheorie ist, hat er diese Informationen in einen Graphen $G_2=(V_2,E_2)$ übertragen. Hier entspricht wie im Beispiel oben jeder Knoten eine/-r Schüler/-in und zwei Knoten sind genau dann durch eine Kante verbunden, wenn die Schüler/-innen miteinander befreundet sind."
   ]
  },
  {
   "attachments": {
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     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "383e2f3b-9295-401a-afb8-b7b2f289999b",
   "metadata": {},
   "source": [
    "<div>\n",
    "<img src=\"attachment:e6c2bd61-0f14-423a-a7d5-a81c42737ac8.png\" width=\"250\"/>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e0328980-72fe-4543-b0cf-a63acdbac3ba",
   "metadata": {},
   "source": [
    "Welche Schüler/-innen sollte der Klassenlehrer für die Streitschlichterausbildung anmelden?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "89becd36-394c-4aa5-b081-45e05586f274",
   "metadata": {},
   "source": [
    "Um das Problem mit der Wahl der Streitschlichter zu modellieren, werden aus dem obigen Graphen $G_2$ nun anstatt Kanten, Knoten ausgewählt. Also Schüler/-innen, welche die Streichschlichterausbildung erhalten sollen. Diese ordnet man der Menge $S\\subseteq V_2$ zu und kann sie wieder farblich im Graphen markieren. <br>\n",
    "Entsprechend fordern wir dann, dass jeder Knoten im Graphen $v\\in V_2$ zu einem Knoten $w\\in S$ inzident ist."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1709063e-7232-454e-bd29-a0f524a80915",
   "metadata": {},
   "source": [
    "Eine mögliche Wahl der Streitschlichter wäre beispielsweise diese."
   ]
  },
  {
   "attachments": {
    "cc8f4db3-8517-4f76-98cf-ced968c1ef5f.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "13091479-7a6a-43b8-8c34-9e3f8f847143",
   "metadata": {},
   "source": [
    "<div>\n",
    "<img src=\"attachment:cc8f4db3-8517-4f76-98cf-ced968c1ef5f.png\" width=\"250\"/>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a3ff5fb7-8314-4b96-ba09-447053c4ca81",
   "metadata": {},
   "source": [
    "Folgende Verteilung wäre zum Beispiel nicht zulässig:"
   ]
  },
  {
   "attachments": {
    "254b41a0-6931-4794-be73-22dbfc833dbb.png": {
     "image/png": 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HhiZ+BQ3uc8b6UkVyyCGHxI4mDqz3008/3ScLivSm8P8xckmIEEHgyXSnVI7YIfHRMEAsWPjYSNA/m00FfcijGIdNF2hwNGTIEHvggQf8GsAqvPHGG70bIQlcX331VcK6zXHeL7nkErvyyit9+E2UyuM2JV6RwL00YsSIhFWQ4GXDO9C7d2//3myUohjmyBRkwYvQwYLjgXuegSNhwvdn2hzWIZPE+vbtm/TuX2JDi1NKI7HaL7vsMv/41Vdf9YmC5ExQC1+1alWfK7DPPvvkS0QQcsT9mmuusXbt2nmWfpTFPQ7XOqGIp59+2qsT8uOx4P0ieY+pjYyIZZN0++23++Q6NmkKd6UnsuBF6MybN8/HhGJJH3300aF3xmKxqlu3rje/6dmzp1shWPZRddmmEggBwk41w8MPP+xWO7kRt9xyi2dkbyq89KWnlwFllCRiUgGR0wRJvhciR8wd1z9jTaMad98SbIwQZh7cZ4zwZUObU0HGE4Clzv3y2GOPWaNGjXzzxYAeKlTwhNExMj73X/dQeiGBF6FDiRzT34iPIvDJSNxh4SLxjqQuku7IqEbkM8GyKyiw9BgA9NRTT3njISz0O+64w0455RQXkS2994h8nTp1fCPG5yD2iNSWeqDzOXw/NgzUhPMzGjdunLExY+4nJivyHjKDn8FO8Vn+m9ss8f5RzYA7vlatWh7LZwPG5Li4JyWe04I35NNPP7XRo0f7/cP3T3TehAgPjYsVoTN58mS75557XGSxspLRpAO4tKdNm2YXXHCBt8h98sknNWI2BBBjZg18/fXX9vzzz/v7i1v+jDPOyFUveM4Xc+J/+OEH97x8//33/jFT4bDssSDjc+VPOukkO/XUU/18KsfiHxB2zsWwYcOsR48eXk1CUiMhEh5sBnj/CIsQxqJTHeV2WwqRsEHgfDzyyCP+8RVXXOHWPYl42iynPhJ4ETrUpd91113eca5169b5irfmBYSCcaXEfnHlqnlHYmDpoFIBASAEg7cEK5Aa9Lg1nlf43ggTbmfGzH7zzTfWpk0bq1y5sgt9MrxA6Q5iz4AnQh8knPIxwkwCIhuvnL6HbOA4x5Q3khBJYym8MngAJPKpjVz0InQokcLNR2csdv/JBrcirsaPP/7YS+gOOuggb3Mr8g7WIBsnEhk/+eQTFwuEnXg6A0ryu/Dz9XxP3O64+8nqZnOGm1gu4pyBJwVrHUHnHuC9I0cBL0hu3kM+l/Aa9w3htoEDB7rQs9lK1lwBkTfkqxShE+9Dn6wpYpsDVyRu4+HDh3uNPG5MOa9yDy7bGTNmuPu3Q4cObtmdeOKJhp2A21y109EEkcfzdfnll/t5HjBggD333HM2fvz4LeZKiIJHAi9CB1HAcijIyV5sLkjEok6aWPEHH3yg6XO5hPeL2C4Le/fu3d0rcvPNN7vlruSr6IOljlueNrk0E5o0aZInVI4cOdI9OiL1kMCLUOHGJ/5HYh2uwYKEuONZZ51lJ598svXp08dr5HNakpXJcA6nTp3qNdEs6MTF6Rh4ww03eHlVQZ9XkVzIgaDTHQ2LuDYeffRRz5OQRyz1kMCLUOGmR0RZFChtKmj4HUgSIh+AwTS4GiXyW4ZSKzqlEf8m1n7MMcd4shveECz4ZCdMitSAXhZs7m677TaP7dOpEM+OJjmmFhJ4ESrs8BEJkn3CbnCTE0g8QpjodkfyEZ27cDEqjvhvOG8TJ060jh07ekczwiv0jyePgdI0rHYlV2U28W6EXBfcT4xrphSVBlMiNZDAi1ChxCYe6y7IJLuNIVZMGRcle2RqE0+mXl5sAHEnR4EGKLSSpRMdLWCPO+44ZU2Lf8G1gAVPC2J6XNDmtm3btr45lMu+4JHAi9BBMEiyw02fKuBapvEOyUJjxoxx64OGKpkOde3xZETKot577z0777zz5I4XW4WNH9cJswcoiUXw6X8hChYJvAgVLHj6Y9M+M9UsPyx52nvSnYvOafTdpjFIpsEGjGYo1LSTPEWDGd4LEuoIY/A+yWoX24INIK1vqZPHM0Zoh5kEXE+iYJDAi1AhgY3EG27+VGwpyu+EqFHqhVua7PpMShSiRwGJhnT669y5s7d/Rejp8S6LXeQWNoLUy5N0R+dI+iMQAqPyQi775COBF6GCdUiZHFZgqsTgN4XmLMSZGYTDSNNRo0ZFOumOhZbER7r6YamzGDMBjn7jZMizMAuRV9gYkuPC/IkGDRp4YylEnu53rAcieUjgRahgDbN7R1BS2c1LnT4iv99++9mDDz7ocfkoijwelenTp9vnn39u7du3tw8//NCHwnTq1MlL4JI1CEhEG6pVKlWq5L0Szj//fL/O8BD98ssvvuEXyUECL0KH8ritjQtNFUgkIxOYhjiIPG04o+RWJBZKJzomvjFCl/j6vffe64mGLMZCJBruewSea4y2xvHOdypLTQ4SeBEq3MgIO5Zhqgs8vx+uReKGiCE1vVi76Q5uUfrHE1un6xjje88++2xvM0tYggljQoQF1TN4icisZ/wv9xXJd3j1RLhI4EWo4BImJodVnOoCD7gWq1ev7hnAU6ZMcdd1uoo83gfK3lhMH3roIe9ER5Yz3ccQeCaE8fcKETZs8OvXr+85Hlj1WPJdu3b18J0ID93dIlSItyE06SLwcYhH0whn0KBBPgebMrJ0gvc87hKlGx1JjjSuoX/44Ycf7h8LkUzYTNaoUcM3z9xf9J6gvS3JdyIcJPAiVHDD8aAuNp0Ent+XoTTXXHONzyOnhC5d6nnpHEjmMv3jf/rpJ49/3nLLLXbCCScU6EQ/IRB5Wh1feeWVfl1+9tlnHipiMp1IPBJ4ESrE4NPJRb8x/M5NmjSxiy66yAW+X79+KT2YhmZC33zzjZcndevWzQfq0CecOn8SCNm0CFHQsA4Ql2/WrJn3X/jrr7+8omPo0KFKvkswEngRGriJSapZvHhx2rqESUAjXk3smjac/fv3T7laXt7n33//3ce5kiBI50DKk3CF8nurYY1IRRhYdNJJJ9kTTzzhMXryRNhI0/1SJAYJvAgVblYEMV2nj/E7M0zj0ksvtYoVK9rTTz9t3333XezVggeLB6udDGXc8rjh77//fg8vkESnWLtIZegkGY/LM5mOpktMeIwPqBL5QwIvQoUkO2Lw6Zytze/O4kPckOcsQJSaFSRsmnBtUtPO74WQkwxIEp3c8SKd4NolLo+7Hrc99xdNcebOnRv7DJFXsrLx7wkRAlxa77zzjmfLUn9N+Vk6g6gOHjzY63gZUkOSEFPy/vZMBH/vumAzsz6wPhaPH29Lx461ItOnW4lgk7M22Bis2H57K1qlipWrXduK77STZZUoYYXy4D4n2Y/SN0IGlPDhXWjatKl7GtLRS7ItKOujMQ+eEzYvIrow0fHdd9/1B9Me6S5Jb/utGQjZ69ZZdnCPrVmwwBaMHm0rf/nFspYssZ2WLbN5JUvaunLlrMT++1v5I46wwuQCFS9uWWlscOQGCbwIDQSxV69e9vHHH3tseO+99469kr7QerdHjx5e3nPOOefYZZddZuV22GHDAvP77/ZnYH2U6d3bdly0yNYtXWZZq1dZofXZlh0I7/rAUskqWcLWBEI/7YADrNzll1v5Ro2scPD1WdsQem5TPCGUFBGrJCHp2GOPddd85cqVU7bPfyKQwGcWbGBZM/BOsWmlGoSE0U2vcYR9XXCfLf7mG1verZuVHTHCis2fb+updgleK7Z2na0J7rn1RQpboVKlbFWwGZ97zDFWIbhntzvwQCtUpoxlRTyEVThYeP8v9lyIhEL8nVrsadOmuRgx1CXdYZHZZ599PEZIiU/5YJGoGIj7uk8+sWWXt7I9+vW30vMXWOFlK6zImrVWZH2WFc7mYVZk3Xorsmq1FVu82CpMmWLZH35kiwPBzg6sjKLB4mNb6PZHmAN3/BdffOHxdWryKd+jvIi8gKjH2Uls5Dqijp+54yLacI/RUZKhR8OHD7dvv/3Wdt55Z/eWeegJT1lw/60MrPXlnTvb+jvusIrfjQ7EPbjvVqy2ImuD+2x9YL0G//Fv0UDoi6xYacXnzbOyY8bYus8+tSXBxqBQ+fJWKFiTCkU4nCWBF6GBMP3444+e1X3cccd52VkUIDGImPySOXNsbiDslfv0sXKvvW5lFy0OXsX1h0jHHxuz8fEsKx5Y9qW//94WB8KNu379brtZETZBMZHHaqfTF9b6a6+9Zl9//bXVrl3b7ggWNJLpMiXOLoHPPNjoIvDcZ/RyYIwz1SB77rlnsHFeY8t79rQ17e+37Xv3sdLBpnnDfbfxvbcx8WOFgv9nWbElS61wcN8tG/uTZW+3nRXefXcrFNx/8fsuSkjgRWjgamP0KpY8Pc/JpI8KpYIFYY/Jk+2Ajz6yPX8eZyUDq2HLC8zmiH9elm0XvE/rAwFbuWqlWY0aVjhYdMiOZ9gN/eMpHSpVqpSHAyjZw00dxVj7lpDAZyZc41SCEIvHg8VEuiXBhrfad99ZkQ4drMzEiVbYK1bj911O2HDP4V0r9scftm78OFtbrpwVJs6PyEcM3hkhQgGBpxc6lmaU3MjrVq60xYMGWenAqq78x59WwheZvApu8HXZWVZi9hzbLhDzZS+/bH/8+KP17t3bS/JwTx5//PHumm/UqJEETmQUrBt77LGH3Xfffdb05JPtt5deskJ332PbT5vuoa/83HdFgq8vOX6CrX/hBVs2cKCtX7Ei9lp0kMCL0KDrG9Y71mdU3Mm4zdeMG2fZzz9v2//woxXNl7hvTCErMnuuZXXqbCMffNA+6dnT447E2a+44gq3ZDLJahdiY4jLtzzsMLt17Vorv5688NxY7VsiK/guWVb8+x9szZNP2jLu6xRrYpVfJPAiNEhEo4yL2Fk618FvDKU4Kz7/3EqSsbuS2F/iRJflZruZM23/YKG5qH59u/baa61evXputUvcRcbz8su299x5wX2SyHshy4oFmr798BG2vFMnL3GNEhJ4ERpY77jpSUqLRLvUwHpfO2WKFR4yxIrOYcxl4kWXxWbfYBGrGbxvFcuVc8tFiEznr549bfsBA6zwOqz3RN93WZ5pX6pff1syapTf51FBAi9Cgz70M2bMiIwFj/tu/dixVmjUd8FCE44rD+ukxJy5VuS772zN7Nmxo0JkLusDQ6HIc89ZqSVY12F5sgpZyVkzrVCweae+PipI4EVoIPA0ZsGCjwJrg7+nUGDBl5w3P/goPJc5jXGWBQK/5McfY0eEyFzmjBljZSdP9vsiTIqsXmurvvnGVs3n/o4GEngRGiTZMY2NblRRYNEPP9js3r2tcBJceNtP/tVK//pr7CMhMpeVQ4dalsfGw9tUbyDL1o0YYetnzYp9nP5I4EUoIO60dSU5LCoJdsbO/o8/gidhLzRmJYL3r1Dw89YsWxY7IkRmUmH2bCvic+LDv+/KL1pkJVatin2U/kjgRShQTkYnO7rXlS9fPnY0vdlu5Uor53HAsGEhy7JVixfbmgjW5gqRU1hHSgXiXihJeW9Fg59Hn4uoIIEXocCgGYajlChRwrbbbrvY0fSmRPA3lVmHJZEcVs6aZWsWLox9JETmsWbpUlsdbHSTWZ++cNKk2LP0RwIvQgHrnaEodKKKSpObFcHfsjiJf0uJnXe2ohEY0CNEXilSqpQVZcRrofDd83G2q1gx9iz9kcCLUMCCR+Sx4Em0iwLLg79l4XbJGJiDPzLbipcta0Uj4v0QIi8UCjbVK0uWtPXe6Cl8P/3q4OewsY4KEngRCjS5oQ89FnxUmrUUCm78IvvuGzwLf6FZUby4Ze+0kxUNLBghMpk5u+5qa5OyhmTbovIVbFWEhs5I4EUoMA2NVrU0uYmKi367qlWtzLH1bY27C8MV+RX7VrEVVarEPhIic9nuiCNsnXuywt9YFzn8MCsUbKyjggRehALueZrcRMmCL7bDDpZ14IG2IuQFYG2wfyh6yCFW6qCDYkeEyFzKVa9u0/fd19aFurHOtjVFClt2jRpWtGzZ2LH0RwIvQgEX/eLFi61shG6WLDYrgfBm1app6wqHc+tkB/+trriLZQdWS9EIWRJC5JXCVOLceaet8YTTsAR+va3Zcw8r2rixFYrQ/AcJvAgFkuwoj9t7771jRyJAVpYVxW1+3HG2Zidq+xO92ATyXqyorT+slhWuX9+yIhQLFCI/7NyggS1tcpqt9Xsu8ffdmiyzZc2bW8lDD/X7PCpI4EXCoTnFypUrNzSpiFiSWOEyZaxI06a26sgjbU3hRLsM19u0ooXt88BSmVmypGVFpQOgEPmkUJEiVvTqq235fvsFH1ETn6j7ju+z3uYHG4hSF15ohUsno0omeWgFEaFAq1q62FWuXDl2JBoguiWqVrXl111nCw49xNZlJWahyQ4WmcVld7ARtWvbC1On2qNPPmk//fSTJysKIczKHH64Lb7zDlse3CcbhDn/9976QAFnVzvASrRpYyUPOCBym2oJvEg4WO7xPvTbb7997Gh0WLVmjX01f749VqyYjd15J1tfJH+WPOK+vOz2tvKyy+yUd96xtu3be4nhLbfcYh9++KHnMgiR6RAb37VlS5vTrp0t2IX8lPyIPF+3zhYFBkihQNy3O/poKxSRap+NkcCLhEP8HVHCio+ai57QQ+/eve2hhx+2QnXr2vZvvmmLj6ht64pyK+XWdUhK3TpbF4j7vEDMd7z7biuzyy523HHH2eOPP27Vq1e3Bx980F577TWbH2wo2DgJkckg8ntcf72teeopm79/VVufxT2X2za26y07uF0XHF3P1j35hJU97zwrEpFmXJsigRehgMgj7rvvvnvsSPqDuH/55Zf20ksvWdOmTe22O++0yiedZCU/+8wmXHSRrdm1oq0vWSyw6AtZ9hZc90g6bsHs4kVsbdkyNvOA/W3BkCG25113WZFYxQGlhfvss4+1Dyz5yy+/3Dp37mz/93//Z7/++qtXJwiRyazLyrIRJUvaFYHFPeKgg2ztzhVsfYkitr7whvtrc3CU1/m85YH1P6NlC8t67jmr0KSJFYlwt8jCwcLxf7HnQiQE4sbfffedx5CbBDdQulvxWM407enfv7+98sorbllfddVVVqlSJQ9DFCle3CqceqotPOwws3LlbFnJEr7QFC5RzNaVKG5rqa/dLngPdihja8uVtSVV9rG1jRrasksvtbKBJbL9nnvGftK/oUHQwQcf7GI/YMAAf+ywww7+c4sHPzNT4H3/4Ycf/D2PYshH5I7ffvvNnnjiCat8+OHW9OmnbW1w360KBH9VcJ8VCjbXWaVK2NqiwQa6aHDflea+297W7VTeFh9wgK075RRbe/XVVvbmm227PfaIfcfokhUsXvL7iYTCFLmuXbvaZ4Fl+/bbb6d9J7tly5b534LlXq1aNWvdurWL7ubm3K9bvdqWBwtQ4T//tOzZs23lvHm2Yvp07ytfomJFK7LjjrY2+LdY5cpWPHiek5IcQh3jx4+3119/3b799lvfNJ1zzjm2Z7AxYIMRdW677TZ78803fdMYJY+QyD1Lliyxu+++237++Wfr2LGjHXLIIezAbfWiRbbmjz+syIwZtm7+fFsaPF+zYIEV33ln7y1fYrfdbGWFClYiuO+KRtQdvzkk8CLhkGD38ssv25AhQ+z999+PHU1P+FsGDx5sL7zwgu2777526623WsVAoHMirH5r8WDUJZ8fPPKTpbtw4UL3ILz11ltWp04du+aaa2z//fe3koH1EmUk8AIIT33wwQd21113Wdu2be3iiy/e7Cabe87Hy3Lvcd8Fn5MJG+HNoRi8SDjE3+cFlmu631SIO5Y7MfCqVau65R53y+cEPg9BzypSxLvg5bcEh66AN954o8fjsWRwU/bp08dmBFaL9uki6uDFevHFFz3/5bzzztu8uAP3Hfdb/L7LUHEHCbxIOIgNQ2Z22WWX2JH0A2vh448/tieffNKtZKzlVOjKR1//M844wz0J9Bh44403fAMyadIk31gJEUXI60Hc6a1x/fXXR95rlSgk8CLhEDNm2AytatMRxL1fv3721FNP2VFHHeVWc5UqVbZsMSQZfo9DDz3UNx2I/ZgxY+zpp5+2kSNHeqa/EFECce/WrZtf31deeaXnnoicIYEXCQcLHrfYzjvvHDuSPuCWJ8736KOPWt26dV3cd91115Rz8yHy5AKcf/75vuiR2MiGhJyHuXPnymUvIgHXMYmleNJOOukkq1+/fspstNMBvVMi4WC9U1ZWJs2yVRFJBJLmMg0bNvxb3FMZ3mN+V9yWBxxwgHXp0sUTAhnVK0S6M336dA9DUbVyySWXpN2aUtBI4EXCwUWPqzid6t/5nT/99FN75plnrEWLFp5Qt9tuu6VFgg7xSGrzr7vuOv/dBw0aZDfccIONHTvW/y4h0hFCZfRAGDdu3N85JyJ3SOBFwkFUSPiqUKFC7Ehqw2aEnu+4AU8++WS79NJLrXz58mmVfUv3u5122snOPvtsXwxZHP/3v/95oiDPhUg32KB+9NFHnjV/0EEH+TUucocEXiQcXN2zZs1Ki1hZXNzvueceT6gjcQ2hTFfwmhCrpISuVq1a3hTk3nvv9bCJEOkCw5aoDmENOeWUU9I2YbegkcCLhEJSDBY8ma+p3lYUy3bgwIFuuZOsduedd6ZkQl1uYVEkZvnAAw94e1cWSrLtiWfKZS9SHe7LHj162NChQ61ly5aeW6LEuryhd00kHG5Qpsml6k3JJoQkQJrYdOrUyae3kcBDI5koQc08Hol3333XzwnZ9n379vVzoyx7kYqwAaUcjrkLiDv3Jj01RN6QwIuEg9ubtqqp2oM+3lv+ueee8/azCF+qZ8vnFTZZJ5xwgmfW07CnQ4cO9uyzz9rvv/8ua16kHLjm6UFRrlw5j73vyLwGkWck8CLhYB0Sx6brVKqxfPly75FP6Q2Z57fccssWB8dECVrt0sObITVsbojRM6GNzZiseZEKcC0yjvn777/3PBKaS4n8IYEXCYc+6VjvqZb1iuWO64+pbPvtt5/XjqdLKVwiwBpivjy5BlhK5B588sknNnv2bLW5FQUKOTt0ZOzdu7dvRhmmVKJEidirIq9I4EVCwRoki5655al0g/I7EX+mzp2e8sSmM7HlJTXzDRo0sDZt2tgee+zhLUBfffVVd9nLkhcFAdcdjZnoIEmuCINkohoySzYSeJFQuFmxCCnXSpUYPLHmL774wp5//nmrUaOGN4FJpd7yyYaNV82aNb2ZD3X/I0aMsMcee8xbguImFSKZsPkePny4N7QhhMScBWXNJwa9iyLh4P5FRMjiLmjoLY/br2PHjnbYYYfZTTfd5JZrpi8ghE+wklhQL7vsMluwYIH3sqcnAFn2QiQDDILffvvNG9qw6SQhNBXWjagggRcJhRuWGDwJdgVtwWON9uzZ0+en16tXz2Pucv39G0IpJ554ot1xxx2el/DWW2+5Nc/AGiHChrwY+jSwZpx55pl+PYrEIYEXCQWBnzx5sluIBZm8hluemDuWO/W0DI4h5p4pCXW5gXDKIYccYtdee62de+651qdPH2/X+/PPP/v5FCIMuLYY7vT555/7PXrggQfKNZ9g9G6KhINbnGSugnK1Ybnj8iOhrkmTJp45TtmeFo8tw3vDeF962fO+sfiyKSLxifMpRKKZOHGiV7Tglj/11FNTtm9GOqMVTyQUyq1IlsGCLwhBRdx79epl7du3d7f81VdfrWYZuQBr/uijj/YmQEcccYT36H/kkUe8za0QiYKyOBouMf6Vsk31mg8HCbxIKFh+M2bMKJBRsSwadMEihkzyGE1sotBbPtmwOaOUEHFno/Tyyy97ciKhFyESAf0oaKFMuWqlSpViR0WikcCLhELsG3FHIJIJbmRiebRkZfoUmeG0u5S45x0qIWgXSqIivftx2fMeL1q0SLF5kSe4biZMmOAlmhdccIE1atQo9ooIAwm8SCgs/ohqMrvYIT50ZKPMi0SdK664wuPJIv8w6KN27dr26KOPet/+Bx980C36P/74Q93vRK6hhJZ5CLvssovdfPPNVrx48dgrIgwk8CKhEAMnwa5ixYqxI+FCb3n6V9ONjQYZ//vf/6xy5cpKqEsgiDx9+5krf9FFF/lmihj9Tz/95Odb1rzICatXr/bKlh9//NFFnn4UIly0CoqEQsMUrPdkJM1guSPu1G5judOhjkVDbvnEw3tKsiJz83mfx48f77kODK6ZP3++RF5sFa6PsWPHetMp6t3pKCnCRwIvEgrZ1gh82El2WO6IC+1nqW+/6qqrbPfdd4+9KsKCjVvjxo3dmuf9ZiofpU50IxNiS5B426VLF2+Addppp8k1nyQk8CKh0OaU+vftt98+diTxEPslC7dTp0520EEHeYc64sNyyycHFufDDz/cLXl62eOyf/jhh23kyJFeySDExtCtjhbITIsjaTOT50AkG73LIqFgyXHzhtXkhpgvljvZ8nRfI+ZOxr4WjOSCy55Ru8TkEXqSp0jEowseLnshID4GduDAgXbsscda/fr1NQY2iWhVFAmFntK46MO4ieNNbNq2besJdVjuqqEtWAjF0C3w7rvvtmrVqtmLL77oDUx++eUXxeWFzZo1yxPrypcv770pKlSoEHtFJAMJvEgoP/zwg1t3ibbgqa//+OOP7aGHHvJ50dRkY7kroa7gIcuepCk2XPQfYDTvfffdZ6NHj459hshEuGe/+uorn2lAKEeu+eSjd1skFFy1iZ7YxrxoXL9YhqeffroPRcFy12KROnAuqG0mxoq4s/G6//77rUePHl5ZkVvWrFljCxcutD///NOfk5xF7T3JWniJ5B1IbRB3cjIYJkOJ5VFHHSXXfAGQFdwoulNEQiD5jf7lDRs29HhsIqBDHW55mticdNJJ3tqS2K9IXRBkXPTdu3e3r7/+2oeJEKvPyTQ/xPvbb7+14cOH29SpU2327Nk2bdo0j+tTAskmgsFBBxxwgMd0SbLU/PDUg3NGrTs5ObQ8xsOTzOZXYgMSeJEwWJyPOeYYL4N54IEHYkfzDkLBVDi+F1PO6FDH4i63fOrDZo+Kik8//dSefvppnzV/11132f777x/7jH9DE5ShQ4f6YBsaofC1nH+Wp/iD884DbwGTx4jnNmjQwNq1a+fNjURqwKacKYRvv/22T3LE60YYRyQf+ThFwmBRZwGuWbNm7EjeYcEnlkvHNNy+1LnTflbinh4gwmXLlrWzzjrL29uSbMViTx4FPQziINyEdRB2krAYFjRz5kz/HASeLGzcvVxb/MvHXBs0OcI6pA6fuvzXXnvNNwWiYOF80guDkBqJsJwbiXvBUfj/AmLPhcgXuFNpZkFWNXXpeYW6WWqrmUteq1atvydOSdzTD9yye+21l2/6EHnCLZzfffbZx2OyuPJvu+02e+mll1y0cwuCMnfuXPv+++89V4OftcMOO+haKSDIm+BckjtB0iXhNJ2LgkMWvEgYuOixurDc8gqWW//+/a1z584uCmTLq/1seoPIH3zwwe5KJ9RC4h2jfMmwpo8BH3Pd5AcS8J588kn3+BD/RfhFcuEccu++88477panfbTu24JFAi8SBhYUrtS8DJFgQcayGzJkiHsBEHcWfxKzlC0fDYiZX3nlldamTRufLY/Y45JPFEwyJGubMACbTZE8uH85p0warFevnp177rlKfkwBtHKKhEEslQSbvNzYiHu8Qx317QhBosvtRMHDtUESJq1uOeeJBkv+lVdesXHjxvlmUyQH7nsmOjKrgEZUyRg2JbaNBF4kDDrNsagSA80NuPboLY9bvmrVqnbdddd5Uwy596IJU8Vw5XK9hAFjbEm+IzYvkgPVEoRcLrnkEr93RWoggRcJgwWVDGdKmHIKbn3EHauLmN2tt97qCVhyy0cTRP3dd9/1JKyw4uRk2jNCmHI7Mu9FeHAO2bDRYZI+85QtitRBq6jIMyyeNCDBLcpiOnHiRI+Z//XXXy7024LFnilTLA40LmFoScWKFWOviijCtfLdd9/5xi5McBlTZhmWl0BsgJJGEhvx2l166aWhTpEUuUeNbkSuoZyJnvOff/65J9awmHIMYec5pW2UtdH0hm5jdB/b1N2OlUXJFO1MzzzzTO9hznxxWe7RhaWG+mgy6Lluwl56sCax5NX5MBzYxNPMhkZGPLDgdf+mFhJ4kSOIrWOtjxgxwnr37u3tRGklSqIUl1D8gZDzIJmKJDkmjNFi9tRTT3XrnqYXLAwk1NHK8uijj3a3/I477hj7SSKqsKl7/fXX7d577/We8mFDaR4CxFhhkXjw2t15552+kacyQlnzqYe2W2KbsDCTuIS1Tela165d3YKnLInX4p3GEHj+5WNco1OmTHErny5lt99+u5cv0eyEUiaOseOnGYbEPTMgmZJNYn5r3nMKm08G3ciGSTycR/JmcM3jgVO3utREAi+2CoKNuN98881uff3666/ejCaniyYbAKw1XLPs9il/w4LDom/durXmuWcQXEt4b/g3GSDwdFYTiYUNPJv8YcOG2fnnn+/dA1XxkprIRS+2yqRJk7whCSKf34WZRaBMmTLeV544rAbHpA+c+/hjY69NvLkRx8i/YDlBWOkLz0aQrnIcJ7mOHA2y58eMGfOvfvRhQe7Hiy++6LMMdJ0lBs4vEwKZENeoUSMvac1P50oRLhJ4sUUY5kEfeOLliYRyOMa/Hn/88XLthUT8tt74302fI9IINC5zkiQRZsQaUeY4D0SZ13kQdkHIEW8+N/46/3KM8AsJbZRJspEj9ML5JbO6VKlS/py8jUGDBiVlMAzllnidiBFL4BMDWfMdO3b0c3333Xf7lECRukjgxWZhMceV/sQTT/iinmjoZPbee+951zotvhvY3K0YP8a/iC9wPnjOMVze/Mux+PG4+GI5Ex7hcxBUyhj5HESZhZoe8Xw+mc+IPSLOMcQ+/vP4HpwjvC3EW0mURMCZ7FeuXDn/fAScBCsEHGHnGJ9TsmRJ/94853W+31tvvWXMt+Lnh0316tW97TFTzXSN5R+uHeYG8GAyIHP+c9PzQiQfCbzYLGTJ45r//fffY0cSC5PEmA9OBn3x4sVjR6MBt1T8ERfiuEub5yyU8dfjz3k9Hp/mX8SWY2y0eJ2PEWmEinOCixsRp8kIn4+Q4wZHXHnwnsazmhFavg6xRYR5YGkj3Agyoo21TXtR5giwaPOc1xIJfwcVGIRnyOXg4zA58cQTXeDZjIj8wbXIxL7HH3/cY+70rFD+TOojgRf/gUuCshemc4VJ3bp1vYypcuXKsSOpC8IbF2nENm4tY+FynGPx5EOeI7p8DkNP+BerGIHmc+fNm+dfiwDzNWx2+HxeR5ypTuA5x8hW5nVEGtHGakageY4AI9xxCxlRRsz4fAa7YFnzOs2D+L58Ha7ygrRmcdET9qF7Ie9LmOBCvuOOO/xvFnmHa5rcCcJqnD+SZfHAqeY99ZHAi/+AqNSoUcNv6jBBtLp37+6jJQuCjcUaoebB7UDLXY7zYMY9r/PAmuYYYh23oHkdIUbIEe7y5cv/LboIC18X91DwHKHlaxHf+OdiTSPKfA3H4m5tHnFRjot4XKB5ztfwPG61pwO8ZwgvQ4UIJYQFGx1CQPRZSJf3JlXhPPXs2dPfzxYtWljz5s392hOpjwRe/Ac6zF100UWhLsBxKL/D7bctuEwRZP5FZOPPEQz+RTzjx+OCzIO/AauZz4vXRCPQiDlCGv96BJoHx7BSOM73w5WMqLIZQWTjMWaOIdxxMefrOIY3gsWPzGJEhtd4ztfFBTouOHxt/N/48zibfhwl6KHA9UVlBu99ouE9J7ubEBAbJpF3uJ84T1jvXNv0wUh06EaEhwRe/AcmQnXr1s0FLmzoMjZ8+HD/WVi2iDH/IswINO7quLubf1lw4u5rPpcRtfwbF+34mErEF+uX46VLl/7b3Y3IIuR8H6zouGgj4LwWF3Cex4UbkeD7xl3kvM735Gt4neOyEnMOS86zzz5r9913n5+TRMJ5qF27tn9/WiZzfkTe4f56/vnnvbUwm/GaNWtGevMZNSTw4j8QG//mm29cBMMGkSQmiwDHBR5RRuARfdzi8QQwhJR4Mp+DlcxxRJ3jwKUcz+hGqOPubCxoFnoWfz6XY4g334NjPOdr4mLNv/HPF+GAcJBNzwxxvCWJgPPKqNLbbrvNzj33XL8WRN7hvDD577XXXrNWrVp5xzruV5E+SODFv0Bk69Wr527UZF0aJEIhtohsfJocohu3jFmoeZ1jPI+LMlY0izpfxzGeI8z8u/GDY3H4WBQ8XFtYhWTUM0s8v94iziuJhWwWaaREhrfOdd7h/LAGkFBHP4H27dsr3JGGSODFvygIgafsCwsdIY5b3Qi2LOhog4fo559/dnc6liKhl7xAKKZq1ao+rvS8887zpMWNN3Ui9xDGeuCBB7x3wsMPP+zjnEX6obtA/It4XDmZMCYW64D4NlY71rnEPfpwnR100EHe9pQHXdFya3XjvWFD+tBDD2nkcAIZPHiwDRw40DdN6laXvuhOEP+CBZYbOlkCS5cxLciZC+ceixvX+ocffuhZ2uRWbGujSY4F1ykjh9955x1r3Lixf53c8vmHck9CJ8cdd5w1bNhQ92caIxe9+A9k0F9xxRXurg8bFnZqooVgKSLZko58Q4YM8W6K9CQg6TIeo6dkizHDtEolo5sWuvL2JA7CJJQY0iGRsc4kLYr0RQIv/gOladzY7OTDBMuAvtY0zhBiUxB1MrmplIiXTLIhvPbaa72NskgsVKfQWfL222/3TT7DoOQRSW/kexH/gaEip512WuiuucMOO8zr4IXYHMTXqZTASicrnh7oPCc2LBLPL7/84tP36DPfoEEDiXsEkMCLzXL11Vf/XbIWBrhVaUiy6667xo4IsXUolaQUbtiwYUnp0ZBJ0OXxjTfe8ETXCy64IHZUpDsSeLFZmNlOYwusqDDYZZddfN48i3V+a6BFZoBFSdY91w1xeZEYaCZFn/kRI0bYxRdfrE13hJDAi81ClvKVV17pwzqoM04UuP2pWcYNyOaBBhrE/ej5ToKVEFsjPtt92rRpsSMiPxB3Hz16tPchoIPlsccem9D7XRQshf+PfpFCbAKLKPFOZoUjvrNmzfLFID/glid5D3EnC5r6ZUS9T58+NmnSJM+ixgVLiZTif2JzcA3RG71OnTpuzYv8MX36dI+7c7/deOON3kdA9150kMCLLcKNTo0yNz0xOsqXyGbOKyzIxPbPOussF3Ka25Bkt//++9uUKVPsiy+++LurHZPYVP4kNoXNH53vSLqjRlvkHTbsbK5Hjhzp0/0YziPrPVpI4MVWQWT32GMPF2FgRjxWd06TnHDJ0z++UaNG3sSkSZMmLt5xK4HEKb5/tWrVvIPdV1995XF53Pcs4vHhMEIA1yNZ9MSNmzZtqk1gHuH+Rdi7du3qm2yqZqieEdFCAi+2Cbt6MuqJf9I9LD6li0SnLcXNEWjKmojrnX/++T4ABJc8X7upYPMxiwubCGZO09ykf//+btVznA5lYSX7ifRj9uzZNmHCBO9ep+lmeYONeufOnb2xDdY7oTN1rIseanQjcgVNR4jH40qnbpbYOQ1xZs6c6Z3vcOfjYmcjwIOFg6xchDonCwghAOKCZPR+/PHHHhqgqcnpp58uC0M4X3/9tTdjYdSshqDkHgbJkDVPa2A232eccYYPeRLRQwIvcg2XDPE7rHc6jSHKlLrh9sPNjpDHx7ti/efWMuD7833/+usv69Kliy9ERx55pN16660+ulKWRmaDh4fqjhdffNGzvkXO4R5lUuSjjz7qOTGEzWgmJKKJVkqRa3CpI9zs+mmMQbY9VjrWO/F1EuhYNOJin1v4/mwQEHMWIIQdsadGl5gh4i8yF647rg+uCdknuQOPWN++fT13oVmzZhL3iCOBFylLPDbfokULH0hDot7999/vH//4449a3DMUxIlBMwsXLsx36WYmgcftyy+/9NDXiSee6CE0EW0k8CLlQeipx7/33nvttddes59//tm77GHNL1u2TIt8hoFXiGRMLPj8lG1mEmyGSVp95pln3DXPgCc8bCLaSOBF2sDCTuz1+++/98Q7Fqt77rnHhg4d6pPGZNFnBmz4CAfRgEnhmpwR7zWPR+zmm2/2TpUi+kjgRdpB/LVt27Z233332fz58+2hhx7yjOrJkyerr30GgMCT+0E1B1UdYuuw8aXyIN7Qhp4TIjOQwIu0hOSgk046yR588EFv0vHRRx+50A8ePNjL9jRtLLog8CRyUo7JBk9sHfr20/2P6Y3E3nn/RGYggRdpCy57svfJrqcumoWrU6dOPrxm7Nixsu4iSlzgcTfTPllsGTa7TzzxhCfYnXfeeeolkWGok51Ie2hnS0kdLTeBJjm4IxF4eulreE204FwiWHhreE63RPFfeI969erl/QLatWvnPQPUQyKz0NkWkYDSKUS+ZcuWPtCGPvbE5Tt06OBd95RtHS3YtNG+WOWSW4Z2vlSdXHjhhXbqqadqkEwGIoEXkQFrjuxgMu0ZSUu9PIl3t912m8+7njFjhsQgIlDiRXiGrnYKxfwX2tGSNc8cBza86tmfmUjgRSRhOA7WPOJeo0YNX+zat29vo0aNkshHAKx35hzQA4FsevEPJJjSI4JQ1WWXXWa77LJL7BWRaUjgRWQhy/rwww+3a6+91mOQDLHBmqEPN5PwRPqCu5laeAYc4aUR/0BfCMJTVJnUr19fcfcMRmdeRBpi82XLlnW3PdnEzKPv06eP3XLLLZ6Ip0Yp6QmihfsZ97wE/h8IQ73zzjseviBEFR/tLDITCbzICOJJeAg7rnrqp2+66Safia2hJelHPN+C4Ua//fabkigDeA/69evnSaV0q9t7771VPZLhSOBFxsBiR4OcBg0auLDT7vbpp5/2Gnpm20vk0wusU4bOEG5Rop35Ncxo5SOOOMIOPvhgZc0LCbzIPBB63LvXX3+9lxGRcXzFFVfYSy+95I1TZA2mB2SGM4SIZi48MhU2piQasmnledOmTT0sJYQEXmQsWDgkIXXs2NGnaxG7pO8TfbsXL14c+yyRqjCTIF4qN2fOnNjRzIOJirRqxoLHK7X//vsrsU44ugpERsNCWLVqVc+0Z9Y8ZVf/+9//vPsX4zU1vCZ1Ia8CNz1WKwKfiSEWrtdx48b5nPfjjz/eGjdurJp38TdqVStEANY87t4jjzzS64g//vhjnztPqV2pUqX8Iaso9SC8MnHiRLfkmZKWaedo9uzZ3sSJckEmxZFYJ0QcCbwQG0Fmdp06dTzjnnnjQ4YM8ZafDOlgwIkSl1ILyhwReISdWQQ0wMkUEPXPPvvMBgwY4JY7paCZ9PeLbSOTRIhNwPXLYI477rjDmjVr5mV0jKXFUiKZS9n2qQMeFtz01H9nUk8DXPN4mMgbwWpv1KiRXPPiP0jghdgMWIS4fc855xyvna9cubK999579tRTT9nw4cM9sUkUPPSkJ9mOvgYrV66MHY02bDBJLKQkjuc0tKE1sxCbIoEXYitgzVNTfOutt/pUrpkzZ9rzzz9vXbp0sWnTpnm8XhQchEzKlSvn5ylTNl1Y71R6jB492i644ALvBSDE5pDAC7ENEA/myp9++uneIezQQw+17t27W5s2bXyghzLtCw4EfqeddvJzhBWfCSxatMhr3g877DA74YQTlBcitogEXogcQHMcYpzUGNMU584773T36D333OOTu7DsFZtPPoRSaOpC/J1ciahDx757773Xr7Vzzz1XDW3EVpHAC5ELEBRcwg0bNrSHHnrITjnlFOvUqZNb84MGDXL3qUgenA8S7WhXG3WBJxz0/vvvW8+ePe2qq67yskD1mhdbQwIvRB6IzyOnQc6bb77pJUvEQ5977jnF5ZMMpY08cF2vXr06djR6UK755JNP2uWXX+7hIrnmxbaQwAuRR+Ju+wMOOMC6detmN954ow+vqVevnn377bfuTpXbPnwQ9/hs+Ki2GGbjwox3cg0YjkT1gBDbQgIvRAJA6HHTk11fvXp1F/tnn33W291G2apMBXjvGR6Ei556+KjB8KMPPvjABg4c6KOOmYgoRE6QwAuRILCu6tat67H5iy++2Pr27euiz78LFy6U6z4kihcv7nkR06dP90eUwAP0ww8/2COPPOJ5HzRgUtxd5BQJvBAJhMWXsq1WrVr5lDqsLZLwGEs7fvx4r9WW2z6x8J5jwccT7aK0kaLXPK55WiW3bt3aZyIIkVPUi16IEIh3wqOvPQI0bNgwGzlypHdbYwNA5rcsscRBmdyYMWP8vaXxSxR6svM39erVyzsn3nbbbd5rn+tKiJyiq0WIEKGFKNn1NMghEYze4Vj2o0aN8tiqSAwIO8OAZs2a5ZZ8FMA1369fP6tfv77Vrl1bWfMi10jghQgRrHTc9CzQzJk/++yz3VX/xBNPuNhHMSmsIMCFTdMXXPRRyKQnl4AGSljsJ598slcKCJFbJPBCJAnixHQfu//++720jqYlHTp08CQ8SupE3qFsDCse6x2BT+c8B37/jz/+2CZPnuxjYPfdd19P4BQit0jghUgilHTRQ5wGOVdffbXXbt91113ewETWfP5ghj+jY5csWZK2Ak8nxLFjx7prnvyNE088UYl1Is8oyU6IJIPbniS7vfbaywfX4Fru0aOHTwfDCsXSVyOT3MNm6ccff/TBQIh9Osas58yZY++++673Trjkkkt81ruSMUVekQUvRAFBpjcLOGNo77vvPrfu7777bnvmmWfs119/Vd18LqlUqZKLOol26TjhjwqLwYMHezUAU+JwzUvcRX6QwAtRwGDNH3fccT4l7LLLLrMvv/zSE/L4V6Nocw7JjLi4Efh06x5ISGHcuHHeLwFhP/74461EiRKxV4XIGxJ4IVIArHnq5s8//3zvhIc1j4uW58Tm1Rxn2/Ae4p7H85FuGyMa2rz11ltusdMFceedd469IkTekcALkULgYqak7vnnn7c77rjDBgwYYLfccosnXaVz8lgyINOcXgM0iMHdnS7gbRg6dKgn19Ez4eCDD469IkT+kMALkYLQtOWKK67wpjhkUd9zzz1uzf/2228S+S1AzThJiljD6dTsZubMmda9e3c76qijrGnTpoq7i4QhgRciRSGT/ogjjvBe9rhtP//8c7fqaV06b948jzeLf0DgqUiYO3du2gg8Ne+45vmdmzdvroY2IqFI4IVIcXDbUzOP2x4L9YYbbvBRtMycZ3iN+Ac62tECeNGiRSm/ASJPgE3bm2++6fkWcs2LRKM6eCHSANy2xJeJz1PjzWzwQYMGeay5fPnyLmxy7W6YnU6ff94TugWm8tCZX375xSsnqKBgA6eGNiLRSOCFSBMQcErq9ttvP7f2pk2bZp999pn/i2sXkcetn+lCj8Dj8mYzlKqiSQiBfgc0tmEuARsSIRKNXPRCpBnEmrFOb7/9drf8yK5/4YUXPJaLVZjJtfMIerly5VzkeV9SEcr4PvroI/fAMON9l112ib0iRGKRwAuRhmCl09K2WbNmLhJkYFNS9+CDD7pwZOrwGkrl6Gj3559/ehw+FSsORo4c6RsyutXhnhciLCTwQqQxxYsXt4MOOsjrp6+//nq3YB999FHPvP/9998zMtOeTnAkJlJpkGrtfumy98orr3huQKtWrXw4jhBhIYEXIs2Jl4fVr1/fm+KcdtppnoTHlDoa5KRb29b8QjIiG50pU6Z40l2qwHlgNDBzBjg3DBtSYqQIEwm8EBEBqxXr9fLLL7d27dp54haz57HsSebKFGjzSqvfCRMmpJTAjx8/3j788EM79dRTfRQsGzMhwiQjrzDictz41BCTbcuOmkEPkyZN+rtJBolK6hgm0g1Eg4x6MsgfeOABu+666zzTnrniDK9JJcELC8Qdkf/5559TxntBTkTnzp29yqFJkyZeDSFE2GSUwCPYxMDef/997wh25JFH+kJQtWpVq169uu2///7+cY0aNdzqoX0krUGFSDdINkPoW7ZsacOGDfOs+6uuusot+okTJ0Z+83rssce6RyMVGgHRG//111+3H374wc4991zNeBdJIyu40TPCTF2wYIH16dPHxzGOHj06RyU0JDAh9rSQZKEkO1duNZGO0BL1008/teeee87j07jxTzrpJE/yiqLYfPXVV/bII494//5DDz00djT5kOT3zTff+MaKtsNUPDBnQIhkEPlGN7jaGT7Rpk0bd1lOnTo1x247MpD/+usvn/SE+/7AAw/0GlusIyHSiXi2Pa56LPg33njDRZ9EL1zaXNNREno2MXjg8MzhoSuovw2PYZcuXfznX3nllf5+C5EsIi3wuMbYPd922232wQcf5LlkhrglGwPi9FjxPIilCZFOIDK47bEksSKJzZNtjyubLHziwlHxULFpocd75cqVrWbNmgUi8LQR7t+/vw0ZMsROP/10T6zjvRYiWURW4BFzhnFgtdMAJL/1wHw9zTNIyGMXvscee+hmFWkHQod1W61aNXddL1y40EUIqx5RZJhNFDav/J0kFbJpKYiMddYLQoHE3qlsOOuss9z7J0QyiazA41p//PHH3UphJ50I2DSQZb98+XJ3d6rFpEhX2JxWrFjRRZ44PIl4gwcP9tew7qNgzbNp4X6lW1wyN+OkNU2fPt3FnX9paEOSY0F4EURmE8mMMUpSevXq5aMYEz0Xmu+NZYDVk6q9roXICQgO7W5JIqXxymGHHWYff/yxPfbYY36NY92nM3vuuWeucm4SBWsESX7MBSBr/vDDD1dyrigQInfVsXv+7rvv7L333vMElzDAKnj33Xf956RaK0whcgviEy8NZS45PPzwwz7tjJBUuoKHbfLkyQnz4OUE1h+8h1TsIOyNGzdO6ZG1ItpETuDju2fcc2H24f7+++99qAcDLYSIAsTfybInKfXss892K55+ESSoEpZKt4pavBP8zpTIJgsqE6hQoHqHxDp+ByEKisgJ/MyZM901Frb7nBuYqVDE2ISICiTY0csdS/6ee+7xdrevvvqqzyyn1WqYm+ZEw+++6667ups+GfDe0Gse651udSQyKu4uCpJICTy79WnTprlbMRlxN6Z1IfCZ0P5TZBYlSpTw4TVt27b1ODJd2LDm33777bSJze+www7emXLEiBGxI+HCBohGWg0bNvSBP/QeEKIgiZzA40rkkYzYOD+HxU4CL6IIzW8oB6XEi05s1JTffffd3iHujz/+SHmXfenSpb00jQqBsKHnBq55WuOSsKiSOJEKRErgcZvHh8UkAwR+/vz5EngRWXAxUx/PnAZEngx7mkcxxIZKFTa4qSr0JA/utttu9vXXX4d+j9Jro3fv3j7FjzJDueZFKhC5GDyLTbIWHDYUbCbSKS4pRF5AsKiXP/PMM72fPc1baKGB6BOqStVqEur8yWIPq6IGCAneeuutPgaWITdCpAqRE/hkwqIXtR7eQmwNxJImT7jp6RKJNc/QGlre4p5ONaGn6ySJg7SZDgM2+PFeYeQoaAysSCUiJfC45LjBkpXcws8iiUd1riLT4B5r2rSpvfzyy3bKKafYjTfe6IJPMh4VLKnitqcigN+VttWJhkRe+m2weXjqqafU2VKkHJESeKxpMmcR3mRY1WQa47ZUT3qRiXCPUQr24IMPekndhAkT3JqlRStu+1TITWEtYDjUmDFjEu5d+Pnnn73z3xlnnOEVB0KkGpGz4NlFU/uaDKuaxiD8PAm8yGQQURrjYMXWqlXLPvzwQ++ER/Y61nxBuu3ZhDRo0MBj8CTFJgqSaxkDy+Aeygg1XVKkIpGLweOSY7ADN16YsJlgMePnKQYvMh3uB3q/33nnndamTRuPTZOMx8hWLPtktovdFKxrfh8qbBIBuQZ09/vpp588sY6/W2uASEUiJ/Dxede45cIE6x2BV72rEP+AJUu7W2rBjzrqKJ9Q9/TTT3uHN6zeguDggw/2ltI0wcovhB0YA4vA161b170DamgjUpXIjYvFkiDxjdntdJYKo6Md7n/ckkDNazzRTrt4ITbkwtAmlmx7stgZ+NKvXz+PyxM+Y1PMfZosuFcZHc3wl0MOOSR2NG/g6scrQVjusssus7333jupf4sQuSGS8+BxzzPkgZ707NoTGQPkxmahILEGtx+DbWbMmOHNQFi4lFEvxIbYN0mo8ZAZWfW0jCXLnud42Hg9GSDAeBDYXODdy6sg062OEdTDhw/37n5HHnmk7neR0kRS4AHLGqEfO3asuwYTUbbDosWO/YorrrBLL73Uateu7e45Fq5PP/3Ufw4WC2ECIcQGcS1btqyL/D777OPDoHBvT5o0yRNUeSTD80UpG5MmjznmmDwlxbJ+jBo1yisEqBxgUhwVO/LaiVQmsgLPTYwY0496yJAhvvvOL2waEPZWrVq5Wx43JAsXQs9OnqlbzIln0aLTl1x3QvxjzWNB4yLn3mAoy0cffeT31IEHHhj7zPBgRvt3331nJ5xwgnvbcguewE6dOnlrXjb4VapU0f0tUp7ICjxgXbN4VK9e3etgmQudF0uemCJCTp9pbm7c/yxaPEgqwjXPz8D9N2XKFHv//fd9Xnx8EyA3nhAb7iM23Hi5EFpEE4sYt33VqlXdIuZzwmDOnDneK57QGr0rcgPldbjm+/fvb+ecc47/7iqNFelApAUeEFcGZZDRC7jsc9M7nq9v0aKF3X777T4CkgVqUxB6Po/BFnwOZTPMiicZh6Qc4o1sCrTjF2KD25774bjjjnO3PXksXbt2dSsf6z6MmvJ58+b5nHa67lEBk1MwCEgSxONA7g3eu2TlDgiRXyIv8IAAI77MaT755JPdmqcBR9wKj38ODywIdufE71mAOnfubFdddZVvErZlifP1fO1+++1njRo1cuudr//ss888k5fFjNfjP1OITCa++abUbPHixZ7pzsaYsrZEb4ipw6ddLZ42Qnc5hd+LzcfEiRN9gh7jc4VIF7KCHWpqznoMAbLpyYDFzd62bVsXW2pacasj+Lj0sSAo78ENhyWeH3hrp06dai+88IKXCdWoUcMuuugi/5fEI7n5hNgAOTK4wDt06OAW8oUXXujCj7W9rY11Tpg9e7Y34SFf5uqrr44d3TqU2OKap6b/5ptvtgsuuED3rEgrMkrgyaJlKAaJMs8//3yuXHX5ASuAtp1kD//xxx+eaEQHLP5VJq4QG2ADzuhVLGas7cqVK1vz5s1dlAmN5ec+oaQVoWbEMxvunECnultuucUT6tq3b+8JgUKkExnhoo/D4sFgDGpYjz/++KQJK54BFgnqZhF0yurIIGbRwY3PMdyREnqRyXD945o/7LDDPG8FkR8wYIC71/mYMFde3PbrAlFfs2qVjR482CaOHGnV99nHpgdrwbzff7clM2bYmmDjX7hYsQ33YOw+pB0tRgA9LpiSRz2/EOlGxljwWAdPPPGED4hgAlRBxtJw27/99tv25Zdf+u/BPG2sFJ4rgUeIDfz2229+v+K65/5o3Lix1axZ0zcBOWFVsIGeNX26TQpE/Y/Zs21Y7942ddQoW7l2rS0LHqUDUd85+F571KhhB9WrZ1X3288qH3CAVQo2AJ8FP5OZ91jweBGESEcyRuDJor388ss9wQahT2QCT14g5khCEQl4jJ2sWLGiD8XgQUKgrHkhzMNp5M307NnT72G8YPS6J49la/fwjB9+8K8bEFjtw4J77Pfg+yyIvbY5dgge+wZW+hHB9z/ulFOs97vvWsVDDvHSWPJlhEhHMkbgv/76a7vyyivdIsAFmArw1tP9jp75n3zyiX3zzTdeD4zFcPTRR//d716ITIYBL9TMDxw40ENbJL+RrEpJ6qZdI7PXr7fxwb3+ylNPWf9vv7VfZ8ywFbkoiy1VuLDtvuuutt3ixfbgk0/ayZdcos22SFsyIgaPkL711lse87722mtTZnYzCwfleGTrH3roob5YYc0PHTrUs37puMUxsoi1yIhMBUsdK5ryOZrk0JWOqhTuEZrWkMPCPUKsnTj7M488Yt0HDLA/gs3z2lzaL2uCz58XiPvCYBORtWiR7b3PPrbLHnvo/hNpSUYIPEk6d9xxh5199tlWp06dAnfPbw6sdXpcU6JHUh5tNQcNGuQduMjejSfiCZGpcP2Tp4J7nqx6esNTxkbjqp132smmfP+9PfnYY9ZnyBBblM/582uDx+Rp02z25Mm2f6VKtkvVqhteECKNyAiBp4MVc6kpkQt7Tnx+oMkOYk7zDxpykBjIEBusFax5rJdU8T4IURBgSWO1E8piQ8zmvXv37vZdcJ98Gdznn337rS3Mp7jHWR3cf39Mn25z//jDDg7uvfKVK8deESI9iLzAE6+jAxVucNpMpnqjChYwLHhq9OmjTw98GvGQZERdLsd5qOGGyGTY6HIfsBHetXx5GxZs4AeNGWOLEjBUamPWBCI/d+lSq7Dzzlbz8MOtSHBvCpEuRN7ny9CXCRMm+JCIdCpBQ+iJv9NDn3IdQgw0zLnpppu86QZ/UyLn3AuRbuCy3yG4R3avUMET8ZauWRN7JXEQwZ+zYIF91rev/TJq1IaDQqQJkRZ4YnO9evXy3T6tZ9MR3PbU/TIF69lnn7XWrVv7BC7yCRhPS2cuITKVVStX2o8//mjfBY+c58rnDqx4hlQND0Q+Q4qORESItMBPnz7dfvnlF7v++us3OwUuncBaoetdy5YtvQEInfjosEWpENO4Fi1alKspeZslWLyyA0vIVq+2tcH3W0WJ0Z9/2orff7eVf/1lawNLZv3y5Rs+RwudSAGWLlxov/z8s80NeaM7PdhIDAvug2Vz5sSOCJH6RLYOnj+L5LqHHnrIunXr5pPcogS5BQj7u+++63X0devWtaZNm3pMEtd+bjPu1wbCvXbmTFs6ZoztEGyKVkyabMun/WlrAqHPXrXKipQta9vttbcV2mN3W3PAAVaiRg0rHrynhbbbTiVEosD4YfBgu7JZMxsZbD7Dpk6lStaxfXur26pV7IgQqU1kBZ7BMli41L4Ts6bMLGpw6miUQwMQQhGU1B177LHuzifLOCc5B+uDjcKawDpf0LevFSOcMW68lQq+T6F1m4/vry1cyNYE7+Wq3Xa17PPPt+LBzyqB0Cv5SBQAX3z+uZ128smW2NS6zbN7sGlu37atXXr//bEjQqQ2kc2ipxnGG2+84TPda9WqFcmscyxnGuVQO08yHkl41AWTbY8Fz2uU1232bw82B+uCzc+yESNsWbAR2qFzZyszcZIVW7o82PVhkW/+USjYDhZdsdJKzJ5lhQLraVlg7a+vUMGygkfh4GcFv1TweUKEz/o1a2zs6NHWtWfP2JFwWRzcMwfWrWsNGjaU10qkBZEUeCzbDz/80KfHnXnmmd7bPbcu63SD2mAGctDtiwlYQ4YM8cQgXPl0Adt03Oa6BQtsRe/etuaJJ6zMoMFWYiU2UOHgkZOFi88pZEXWZ1upKb/a6mBDsXz9eiu0995WJPg9hMgP3L9kxfMgiZTJbkuWLPF/6Uc/c+ZMmzt3rv0Z3N9DAnGnPC5Z1D3ySGtw/PFWqDD3ihCpTSRd9Ayo+N///ucWLMMiUrm5TaKhdI7Fj/JAXPf8u++++3oyHoNseE+w3Ff06mVZjz5mxQILvKh74/NqkXD5ZNuSirvY8tbXWfngfS8S/AwhgOWFTSYPniPSPLhOCaMRViI5lOFLtJ7lWPxrEHeeE2ajoQ3PEXoSSv1zgufTgs3lmGBDmyxuv/VWe+jBB61Q0aKxI0KkLpETeP6cL774wue+Mz2OcrJMHMEaF3qm1X3wwQe+SDKF68SGDW3P+fMt++67bYeR31rhfIn7xqy3pXvtYeueeMJ2aNYs+JaJ+J4iTLhX4pUXLpgxEQYElWuIjxFaXoP4c17jXwQXS5vvg0DzOq9hafM96BHP5/E6oaLly5e7wPOc1/ka4HMQe0pay5Ur58dIFiV3Bs8T3wdPVNwL5bPhg39/nTDBOr/2mh8LG1aR66+91v531122XenSf4e/5K4XqUrkBB4he/zxx91yve+++9xlnck3IIsvpYL0tWd8ZtHg/WkXHN/j835WfBWlRYl8b9bZksNq2dq33rJyBx4YOyaSQVxwEVKex4UXFixY4MIK/MvGD+KWM5/Pc3I44l+D2PIaywPfi69DeAl1cT/FQz58Dl4h+jXwc+KCx30Y7+HAx3wOYSSO8TmIdTxsxmsbf1+EPX48/hpf46Ie+xo27Xz+4H79rPkpp9j84G8Imz2Cn107WE92rlPHdt11V9tll138sfvuu3sYkL9VraRFKhE5gR83bpzdHVinDJVhPCyLijBfpCcE782oZ5+18z/80HZYtiI4mui8hMAiLJxlcy6/zHbp1MmyYouxyB2ILa7quPhiDSOY3KoILzHouPCSZ4Io83lxS5rXsJJ5DnxeXKyxmtkIMLQFMUU4ESlEle+BiPOcz0essFLjoh8XaKxpxJavRXB5znHga+LP+TzaLgOfy8eIMl/D5/Ec+Pz489wybtgwu+G882zAn3/GjoRHveA9u/icc6xwsHnF8zB58mR///l76FGBt2G//fbzcdT8y/vK3yxEQREpgWchYq46teFXXHGFZ9DndeGIIqvnz7fpjRrZXmN+COz2kMQ3K9uW7rO3rXz9datwzDGxg9GB2wUhjP/LNcdzHnFB5jkiGhdeRBXBRnCJH2Pp8hoW8++//+7PeR2x4HsgCnxu3HLle/F94s/5frzG5/Ax1uPOO+/sxxAVerRz3SM4CA/wPeObXT4P4eYYz7GG4+KL8MZFCeGNi+/GD9j4Od8jTvxYspg7bZp1/L//s46vvhpaJzvALr882Eg8/NRTVjTYALGB4lyS70OpKgmtY8aMsalTp/p54n1jA0Vfipo1a3oeDOeFY7zfG29whAiLSAk8N9xzzz3nCyjd65i+Jv5h3qBBVrpZMyu+cHHwUXjW9doyJW353XdbmTZtUtqKRyARVP6Niy9iC7NmzXIh5fbgOFY0EGOOJ4LxevxreFCaGRd2LG1EmemAfC6LejyeDLiogc/HDQ18b44jBMBzLGrEAksYFzDPId7MiO+HWCAqPEeceQ58bvw4j/jXRolVgdB+1KWLtb3rLvs1ENqwqBycx/tuv90u4JqOncM4XDtcE4g+nhbOPbMi2LBx3XCN0FUTWJMqV67sib9VqlSxvffe2zdleEGESDSREviJEyfaM88842MkL774Yt8ti3+YeeutVuHJp6zIOk55eNbD+uJFbNH551mJDh2sZLAwJgPEEVc0/8bFlgUXmMbHQsulzuJLGAc2tsB5TpyZxRqwrvlevIaQI7BYYQg14krcNe6mJh6LRcz3QMT5XL6Of+PXIM8RckQWYY7HliFuzcUf8eObPo8/4h8Ls+zgPZ8wapTdf+ed9v7AgbYhFTCxFA/e61OPPNIefvpp2++II2JHtwzXAdcR1xYbSASevAeuwT/++MMt/WHDhvk1xgaOB8JPkyp6drABiG/6hMgPkRL4LsFO/r333rPbbrvNjj76aC2CGxOc5uxLL7WsN98KPgjXklsXvO1zDznItnvzTSt96KEudhs/WADj/8YFNf6cf1kYWRQRXJ7/+eefvjjyGi5QNnJ8PWL9zTff+PO4dYogbu458DHXBCJM8iWWMgspwh2PlyLcWN18Lp+HW1vXUWqzYsEC69K5s/1fx442IwQrfo+dd7Z7Asv9khtvTOi4WDakI0aMsE8//dQbVGHls6lkM3hEsJE49dRTPZcI8ec6ZSPI9azrUeSUyAg8i/0TTzzh/1L7jutL/MPqQDDXXXihlezzSfBRuG7z9cH68/tuFW1I8POWBYKJFcMDWNQQb8QaCxtLG2HHSsa6wSLGogGs340Tu7Cc44KN9cxCx3Es6LgoI9pxVzafH3dx8335WItjNJk9frw9d9999uKHH9qc4FpL1KK2QyCqFzVqZHc//rjtdMABsaOJh3uATSxzJZiORwIfgs89wb3BLA02ouRbkCC55557WsWKFX0TGg/RSPzFpkRC4PkTvvzyS+89T+c6Euy46MU/LJ81y9a2aGHbDxwUfBR+XPz3EkXskerVbcn++/vHxJPjVjLnhqQwngMiHLeusVTibm3c3nEhZwHb2K2NlaPFTGzMtLFjreO999rbffvafPInYsfzyvbBNXde3bp2X6dOVjHJZZ94rnDhY7CQsU9OyM8//2w//PCDP2ezyj3BvUKr6gOD3w/XPkmVvMZ9Ew/9iMwlEgKPVchsdET+3uAGJ44l/s1SLOXzz7cdvhoafBS+wK+rspdZ166WVbu2f7zpQqOFRyScYCmbMnq0Pd6+vX0waJDNCdaFtXlY3vARlQ1E8sxgHbk/WFd2rlJlwwsFDEs1D9z4hKmYJvn111972IpwFgl+uPOZLHnIIYd4uAkLn00Am2M2xbL2M4u0F3h+fbJVH3nkEXfN3nPPPX9bgOIfVgfWwPoLL7QSvT8OPgrfRb/kgKpW/O23rYQ2WyLJ/DZypHXr0sU+GzzYxk6aZAtzaM1zV5QtUcIODCzhExo29D4aFQ8+eMOLKQrrH8L+22+/eUMrEkqx+OP9+vGUkbGPVc+D5xyLJ/exAYgni0rwo0faCzy7WXquv/LKK3bRRRdZkyZNYq+IjVm/dq2tvOwyK9nlbcsKO8muUJbNPbymlXrtNStz0EGxo0IkjyUzZtiPo0bZ53372ohhw2ziuHE2LbgHNlcrz91QKRC4A/bf3+rVq2cnnHaa1TjqKNsuVq6YTsRzW6jNx73Pv8Ty2QDEOxhi7fNA8InnE8snj4W4PhuAjcsxRXqT9gJPnApxJzb16KOP+sUqNs9fd99tOz/yqBVdS1vP8HbrXiZ39llWsmNHK7HLLrGjQiSX7HXrbPmSJTZ1+HDr8/779sqHH9qh++7rw5bilAnWi4pVqtiBgVVb68gjbd+6dW27wLKNShdGlncS+DCE6LlAIt+kSZP8wdRJNgHx/g2IPEl8WPW49xF88mbIn6E8FBc/eTPxPBiR+qS9wE+bNs1b05JoQnMbLkLxb7i5abwx5s03rclzz1nZlVQLh3WTZtua7bezJe3aWbmbb7YsWQIiBfg0sOSfeughe+TOO31oDOCSLh0Ie/nKla1EIGKZdq0i6gg8Zaiso1j4iD3dFXHZY+HHQejZAFClwnMeWPrE9uXaT13SWuDZmZJk8lBw47Zt29bHoepi+wfccCNHjvx7bGzp4P26M7iRD/7xp+DVsBaz9bZmn71tWbduVjawiIRIBSihJUbdsWNHzafYDMgAgk/CMu138YzSETRu5VOqR2yfzQDPEXdKU3Hpk8FP732sfwQ/U+E95L2Jt5vG61HQoY60FnguRkrjuAgfe+wxuecDsNa5QYcOHWoff/yxW+641M4//3yrdeihVnn6dCt1wYW23Urq0hNtxWfbuuBb/nHxRbbnCy9Y4eACFyIVOOuss3wIzC233PJ3eabYMsgCBhTleqwptOJlXcHFT1yf+nz671O3z+sIO2WtlOodfvjh3k0Uiz9erhdF1368lJFwBxUNVHHF3zP+VrwghDpOPvlkq127tns/kl3em7YCz6/NxcW8d7JdW7dunbGJIbwXNI/h/aAzFmNh2UWyu6b9JSUzNP7hZls7d64tuPNO2/71N634ukTG4rmMsm3uIdWt5Ecf2XZqNCRSBMTpgAMOsIcfftg3uvLy5Q8S+fAOIm6IPpY+lUyU7mFsIXK8hjWLKz/eoAex4xGP66freeDvI4yBZ7R3797+d7PxiScxbgxWPFULrL/HH3+8nXLKKXZoYGhxPBmkrcDzJjP3/Y033rCPAkGpWrVq7JXMghtpwIAB9uGHH3qPdW6ghg0b+i6a3TQ30sZ5CdnB7nLFyJG2+tbbrEywESicnYhd9QZxn1e+nNnLL1v5Zs02HBYiBRg9erS1aNHCunbt6la8SCwIPu59Hog6nlXK9HDpI3rU6ZMETXyfuD6ufUr0aMdLzxI2ALj80wE2i7QVfv311z38ibDjwdgWGJ8YWOjUueeeazfccENS8sXSVuCp/WzZsqW7ft57772MyuzklCHs77zzjscU2UXT3KJNmzZ+w3DhcEFt6T1ZH1j3y/r0saybbrLSfzHlis/L626ayyfY0RcvZvPvvtt2u/12yyqyYZqZEKnAfffdZ/379/dR0mSIi3BhfYo/EH+MMR54FXFnY/n2CdYfOvNhxePKJmP/jDPOcCuXhGnyJFi/eD1VLH3+hrfeesvDwljwfJxb+JvQrBNPPNHef//90Duupq3ADxo0yAWNDnY1atTYcDDCcDER+/rpp588vv7222/7bvjII4+0yy67zIen5OZiWRfcbCv69rXse+61EuPHW9E8TZgLviYr234PbtDJLc63+i+8YEUzOMlGpB4ITHxgy7vvvpu2buEogjVM4uO3335r3333nWfy04YXlz/5VMzR33///d29Tb1+PHMfgYyfx2SdT4wotAavMWGI/MLv3axZM3v22Wc9VyEs0lLguWmpeSfWjPWerHhGsonHurjwmThFIgdJc4j6CSec4IkbDKHIq/cCd/2Sr7+2tU89ZaUGD7FiixZbIb8atnXTBLvz4L/VJUvY0iNq25OrV9uY7bazDk8/7ck1WkRFqoCbmByU//u//7Orr746dlSkGsgQXlkEnvUOESWuz+AdXPys8bj1SeYjY59zirubjQDJfXgtw0rko3EQYeD777/fNySJgt/7mmuucQ9TWN1X01LgifHgziEzlps2SoISd2XhgscNRBIH7kXiW8cdd5wnFFapUiVhgySYp702eD+nvfSS7dCtm5UObq4iy1eQIhq8FlwawetO8LO8+UeRwrYuEPaVwU56UfPmVjb4fRYFN9eZwbmgXIZqBmJsQqQCZDY3D65TjAES7UR6gCyxFsaz+CnV4xziuWWePseI9yP4eGiI52Pts/ZwjMfGffd55GW9xMiiWuD222/32Hui5ZIcKdZMvLBhJImnpcBz0zIxDpdbVJJmuGBJSGH3SrIciUFcWOxayYRnNjRuxjAugjhLgp3ysk8/tR2Cn7uaGFOwycgKxN8vkWC3WSi4GAtXqmQrqle34qecYtsHC2a84xf9CChBYjFl06VaY1HQcN1S/06eStwKFOkPos86iXVPyJLafJLdSOzDEo5n7SOeZLDzwLVPSDM+eCen1j7VSZ07d/YZJxhZiYZNBzkHPXr08A1Koo3VtBN4Tu4555zju7OXAqsz3YWEvyfuivrmm2+8vhTXDRcpCXPE1onRsBNNFmuWL7dlwQ3kAh9c4E5wUyDwtJ4tEWw6sOg3hou/e/fuvpjSUZC5AFpQRUFCjPfGG2/03BUSmkT0QL7weGIc4dbHxY/Qs47ywCBi7cSAQjNI5qPSCNHHvU9cHyNqc/XpWO/kBlx88cVeghwWJH7edNNNdscddyR8zUw7gWfH1qBBA+vQoYO/8Yne8YQNbzeiTrxp8uTJfgENGzbMd6S43kksadSoke9AEfowYkphQegEdxMNdviXkAI7ZSEKAoas4Om74IILvP5dRJ/4+oro48LfdNIeFjnufkKgCDulxAg9D4Q/PmwHoeX7vPnmmy6+YcokGw/W/Keeeirh5d5pJfDswh588EEvDxsyZIjvwtIJLjZ2lbjgsdjZcbLbpPEB1voxxxzj3Y7SGXbStA3mb7311lt9wyJEQUCYq1WrVr5ekJglMhti+mTDE65B7NkAsv5iXLEhKF++vHuEsfoRf54TBibuHyYYqeSHYLQ2btw4oUZrWgk8sRZuWBIqyDxMB+uWt5eLCksdFzyuHqxahBz3OwsPJzcq9bn8veQOMJ+fv5HkFHbFQiQb6t5ZNHHPK/FTbAoWOpZ8vP0u5XkIPjpDyJEKjA8++MAt/rDBY8vQNJLtEun1LPx/1I+kAQgHOynKFRguk+o3LBcPF8wXX3zhtY6U81FuwUAcEuboT0yCIIlzUYpVs/skuYXdLxUAeCn4OxWPF8kGgccIOO200xQqEv+Ba4MwKJY77nnc9RhbrFf0ViF2j+bg1g8bfg+6j1L6nMh8q7QJ8JIwgwXMG8DJSEXYhBCHJqb+/PPPe3/8Ll26+AmjvO3ee+/15DPKOkic46SmWw5BTiBhhc56lDJyg9BGF5e9EMkEFz0baGKcQmwLXPNk2OOeJ/mOrHsS7ZIBIQISBAlDJ5K0EXjcKLi5UzVxi9gz3eUoFaPDHkNfjjrqKO85jOuFJB9c8pRpRFHUN4Wbg5I5PBW0pWSxTdbNIgQbbfJdcH2GWVoqoksy12mMQ3IE+DeRpI3AYwni9iVpK1VuWE4GcRp6E7PxiGdbPv30054RSb4Aliweh0xzUXNzsAumpJGsVAZ9sOAKkQzoeY6HLFOHUIn8wfoVb5aTDPB6sl4m2nhNC4HHPU/pFXF3XNsFaQGzy0LUBw8e7NY6Fiq/G61jyewn3k4YgZPF9KBMth44T7TSPe+887xM5bnnnnM3lBBh069fP7/36GFekOuFSE+4ZsglYpOYDLhWMQITnTieFgJPa0KEgTKysHr2bgvcy7SOffHFF90yv/zyy/1jrHYS6GjwQkeizTVMyGS4cPFikB1KDkXPnj3dfSpEWLAJJw+GBbqg1guR3rCGE4vnGkoGiDu1+BlrweP65o8vCPGM10+yySCjEtGiBIzsS6x0kugk6luG94b3iYuY4TlhtHwUIg6bcR64V3VfiryCNZ2s0CoaEkZuWcoLPN2IaPLPH5/bkaj5AVFHjIgbE/8nA/6qq67ywS/U4b/22mv25JNPeiIZYYN0qMkvKPBqNGnSxJo2bWoDBgxw64qsUSHCgBAatcuUOimDXuQVepMwnz7sTSLaFi/Ri5yLnp02Ltt4L2HaCmIp03gAy50+7TxOOeWUUOfmAl4CfiaNDnAnkxhG57x27dq55c5oP47RM5ixqCRhyELIGYg80/9432g8QjMcNlFCJBqaSbGmYBCEYRWJzID4O6O5w+6YytpYvXr1UMq/C6yTHU1fEHPi2Ag4ZXDxPsF0PiP+QUwC0afkjI5o9erVC01Q+X0mTpxoP/zwg48lxI2M94CmB8weJnufJD8Jet5hM0eLXhoVsTsmSZFOfnpPRaLgGqMHxRtvvOE9KBhhLERewRuEkdepU6eE16gDax/W+6uvvuqVWIkmqQLPj0I46QPct29fz0T/+eefXdg5Hh8SQNyDnTf/srshE5bBMvTpJTs9EZ1++F3i3eb4HUaNGuVWOyeRn9ewYUN38fHzsNRFYuA9Z9wvpYUkTSLyyUpkEdGHhkpcW6wphNUwEoTIK2wYMfjoZ0Kyd6LlkiRQJh7SKwWtSzRJbVX7119/eftSxrwSw2YyHAKLWzwu8LyBiCxCj1XNjYrLHBHGmidZKz/jU/n+9B+eMGGCbzBofUs7WcICZMGfffbZdumll7rVjhdBLr7EQoyJ0jkSFdnkESPFPaUcBpEI6CXOGnPsscf6ACfdvyI/YGHHKzEI/aBHiQJBp205EhyWkZMUgWcXhPsbUUfccbkj6rmBjQBxWxpYsBFAgBGJnIKwE9enPpZSLbqrMU0IVzGuf5LliPMzdF+JOeHCTYPIk3fBtCasLBqSyFUv8gsjmEnK5V7mGtM1JfILQownl6RrdIx/8wvXJR7Mu+66yzUnrOs0KQKPKNPZrVu3bm6N5zW5CmHHC0CcHLc5LvRtiXzcYicmx++Axc7XMICCRYDZ8sTX8QpwIrUgJAc2Ufvuu6+NHDnSJzbRHEjuVJEfMCTiRgD3ta4nkQjQBFpvx40/NpH56eXB9zvzzDPdcsfLlIiQ85YIPQaPy4wEhc6dO3vCQqJAHGguQ+nVpqLMjY51yG6LeC+xdTYV7OhPPPFEz+RmCEUYMQ+RO7hZrrjiCj8f7du3tz333DP2ihC5g9AeG3muqWuvvdavKSESCWHiHj162DvvvOMxeRKxcwphSPK7EPerr77aNSxsgzJUgSeu/umnn9r//vc/z5hP5I/CCqceHRcvbxog4vycgQMHettYatipLSST9uijj3bxIK4e5o5J5J5vv/3WSxGx4tnV6vyIvIDrlOuH8iYmOdKMSohEgoZhvdN6G21jUib5YdvKsKcEDuMSg5RpolybyfAWhyrwU6dOteuvv97fCKzqRMONfOGFF3qPczLzX3nlFZ8BzcaCZDnqrtnFkySBa0WJXKkJNwehkw4dOti5555rN998c+wVIXIO3sL77rvPPXSXXHKJD6cSIgwwJskjI6+LkFCvXr3cU0wZMOsZRgoGJfldjRo1+jsEiRbxWjLEHUITeESWZLaWLVsm1HLfFNrFkjH7/fffe506OyR+JjsmrPxkvZEif5CdisCzQaPu9KSTTspVEqUQ5HOQyEtmMtePkmVFMkDfNn4g/hiTPNCf+KMgCM2kZWdDUl2Y4g6U0uEyoXkKVmDbtm1t7733TuouSeQfrC1i8biv3nzzTRs3blzo146IFiTYkXtD5zGVx4lkgc4g5hgk6A65XVx/fBwX+YIiFIHHHU+HOuIUYYMIIA5HHXWUu0Ak6ukJ5w2XFslR3Bxvv/229yaQyIucgFuUkCBW+4477qh1QIiAUAQeFwVNAbDiw4Ybm2S6adOmxY6IdIVFuUqVKnbGGWd4yKV79+7uupfIi21Bq2vaXOO9I5FWCBGSwLMgU06A+zxs8BYwypWHhCD9IXGSnswnn3yylziSoEn7USG2Bh5DemxQUaPkOiE2EJqLns5zyRoJiseAekQJfDQgcZJseloH0wQHa35bZSgic2G9oTyWMjkaVin+LsQGQrPgky22EvfogKuehfr888/3shJqTQnDhFFqKdIfypXI16AklhCP4u9CbCAUgSdzkFayySpz4uepzWz0oJ4ZS55xwmTWE2PVRk5sCq2o2QDino83vRJChCjwdOohnpoM+Hm45STw0YJzSqMIGhYxJIiuhckK+4j0gfwbEnoZCELPcCHEBkITeIbYM6ktbBABdu24dEX0wEVP8yIy63HV04JYiDjxJFvK43DRs/YIITYQmsAzeWe33XaLHQkPBJ6m/ZTHiGhCVvTFF1/sSXdPP/20j/kVApgwSfw93hpUCPEPoQg8rnIyoY888sjYkfDYbrvtfNyrXHPRhiZG1113nVdL0PEuETOZRfpDdQXlcVwXrDlCiH8IzZ+Fe/68884LNekFTwFZs4zfU/w92nB+99tvP7v//vt9qANTw8ieFpkNGz1aVRN/Z7MvhPiH0AQe8T344IPthhtuCK0utWzZsj49iiEzIvpwTdWtW9enB/bu3duHGdEDQWQuxN9nz57tYToJvBD/JtSMFBKkGjdu7I9El8yVKFHCZz43aNAgdkRkCpTOtWrVyl544QVvgqP6+MwFcZ84caJX7YRlSAiRroQq8LhVq1atatdcc43Pw03UDchm4YQTTvBFnuQakVlwXV1wwQUenrn11lu9Tl4in3mQYIfA8y8JvQrTCfFvQhV4QNSZ9Hb99df7KFAa4OQHEmnYrSPwlSpVih0VmQbXAJPn6LXwzDPPeKKVmuBkFsy6mDRpkq8DJGEKIf5N4f8jWylkcKdjyRMno1EJZU65TZDCaud7XH755S7yo0aNsho1anhyjXbumQfxeM49s79pgkMWNWV0XGsiM5g5c6a9/vrrnsh76qmnypsnxCYkReCBm49adUSZ2DxuNSwukqRWr14d+6x/g/VPIh1NbI499li76aab7MILL7SGDRvaO++8467ZQw891DP2JfKZB5s+LDdKpT777DO/VrjGFIuNPqwdkydPtrfeesu9eXgJhRD/Jiu4UZLu18SK/+GHH/zx008/uZsNCwyrnsUatysPLHWsdsqjjj76aG9kwaLOrzx06FB76KGH7IADDvAYP58nMg+uBdzznTt39mSrq666yo455hhZ8hGHdaJPnz727LPP2qOPPmpHHHFE7BUhRJwCEfg4WO4MEJk7d64LPDE1blzi9DxoXoPIY6Fv6n7ja3HNPvLII96vnBj/7rvvHntVZBJ4g8aNG+dd7vAI3XzzzVa9enV344towlrx1FNP+Ua/e/fuSWmLLUS6kTQX/ebAGqcNKW5WsmBxr+6zzz5uqeOWp74dod/cQs3XEnvjxv788899Yceal+WWeXB9sBEsV66cN8FZtGiRXwuqi44uTJBjNgHnvHnz5grRCbEZClTgN4YblAeLdfz5tiDWishjzSPywMKuGGzmwXVDwh0Oqf79+/sxwjaMERbRgnNMgh3nmXAMraqFEP8l7X2YuPGZNHbYYYfZq6++ap988skWk/ZEtCFv48QTT/QF/4033rCvvvrKQz4iWiDw1L/jqTnkkENiR4UQm5L2Ao/lhoufpjfE4smq/fbbb9XCNAPB64Or/uqrr/ZQD53uSLwrwDQTEQKczz/++MPb1GpMtBBbJhJZSIg8MfxLLrnEa6Nfe+01LewZCiKPq/7uu+/2PI1OnTrZ0qVLY6+KKMB9TS8NRlIrz0KILROZNGMWdsrpLrroIp8P/eSTT9rvv/8ee1VkGrSxpXxy2LBh3gxFm73ogHeO8lqGWRGWEUJsnsgIPGCxUS+Pi3bs2LEek0fstbhnHmz4TjrpJGvRooXdc8891rdvX8XjIwLn8bvvvvPQnLrXCbFlIiXwEF/Yr7zySrfe3n//fZ8ZLTIPrgX61bds2dLuuusuGz58uIbSRAAaGxGWI89CCLFlIifwQJkcI0Wpj33vvfe8hE6Z9ZkJfRQeeOABr7J44oknvGuiSG++/PJLz7WhRFYIsWUiKfBAbA73LHWybdu29UVBIp+Z0AylTZs23gqZyXOUWClsk57ggfnggw/cPb/jjjvGjgohNkdkBR5Y2K+44gofVNOhQwe5aDMYMq7pU09uRpcuXWzevHmxV0SqQyti5lewKaP2feTIkV7/roZWQmydlOlkFxZMGDvwwAO9V/kXX3zhI2spqROZBTFbXLokYmIBUl5F1YVEIvXA00YFzKBBg9zz9vXXX3s+DYl1PGeKJCWxlStX9jwLIcTmKdBhM8kEgcdVD8RitThkJgw3ogEOljzjh+vUqePiLwoWPGtY5z///LNvxL///nv75Zdf/HxhwQP3K+eKeRNUyzBBjlGxbNQ4pvtZiH+TMQLPAsLkKRKu6FFOTJbhNloUMguugwkTJviYUeqpmUKIh0ciX3Ag4KNGjbJevXrZ4MGDXdgZJrM1uG+JwR9++OHWuHFjF3rua5XNCfEPkXfRx2FBqFSpkk+qoyb6r7/+slq1aqlRRobBdcAEQ1z0uH9peVqtWjWNGy0g2GR99NFH9tBDD/l9OWXKFI+35wSSJnHl0/SGr6NtLWEYbdqF2EDGCDwQfyX7lgW+d+/ePlOa8imOi8wBK4/NHkLw6aef+iYPN68mzyUXGtYww58laPz48XnqV4FHZsmSJR6XJ+wSHzstj4wQGSbwQFIVvcoRd0SeBYIM62LFisU+Q2QCXAcIAddBv379bK+99nLrT8KQHLDcmed+//33e+Ma7sP8gJufEbJUR5BIy0Ze51JkOhkn8IDFRryOxYBFBtceSXey5DMLNnWce1y8uIcpvaKBiggfhkExKwDLO1GwSSD0hmeG8BueOiEymYzc4rIA7LTTTnbdddfZUUcdZS+99JJn72ZIvqGIwXWA5U6vBNzDjzzyiFuTug7CJZ7cSDJdot9rziMjo3H559crIES6k5EWfBxKa7DYmB9P/I4JZDTHkWsvs+Aa4LwPHDjQa7APOuggvzZE4kF0+/TpYy+//LKHR8KA2P7UqVO9wRXnVUl3IlPJaCVDyCmRYjANlhulU2TjauefWSAAlFqdd955Ho8fMmSIW5ki8VD+xnwIEuPChIY433zzzd819EJkIhlvqpJsRdOMVq1aeTyQxYfmGnLTZhZcBwwnqlmzpid+0WhFG73Ew7AfNtHJEN7+/ftrkqTIaOSLDqBsqkmTJnbhhRd6n2tGzG6r0YaIHuXLl7eLLrrIeyW0b9/exUgbvcTBhonkuhkzZiTFQ0L3Ss0cEJmMBD4GIn/aaadZo0aN7PXXX7eePXvaypUrY6+KTIGQze233+5i9Nxzz9ncuXNjr4j8gtWO4CbrviIMwPnTJk1kKhL4jSAhhxGzTZs29SSgAQMGKBabgdD8qHXr1p58SUZ2Tjuria2DwCO6ybqnli5davPnz499JETmIYHfhAoVKngJD+VzJN0xxUoWQGZB8mX9+vU96Y6cDBoiyZuTf7iPEPdk3U9UROi8iUxGAr8ZsOSpkad86uGHH/Y58iKzoBnS+eef70NMnnnmGR9UJG9OekGpIzMHhMhUJPBbYJ999rF7773Xu9vRAIWmHCKzoKUxTXDocPfiiy/6YBORd6hUYAIc/yYDNmkaIiQyGQn8FsBNi8gzXhY3HwlXtMEUmQP18bvvvrtdeumlbr3T8VBZ2XmHRFYEN1kCX6pUKW9Xq0Y3IlORwG8Dupq1bdvWS246deqkhKsMAw8OmfVnn322u+mpsAirA1vUYdPMzAc8I8noFklnSn6WEJmKBH4bYHWQcEdMnsE0uOtJ3hGZA5bgqaee6r0SunTp4i1tFY/PG2yYmeLHfRU2Z5xxhpUpUyb2kRCZR0b3os8pLEZMHaM2+uOPP/a54cwPT5arURQ8nHNCNrjoaYOKdUgSpty/uYO4+KJFi+yrr76yFStWxI4mHs7PLbfc4ha8zpHIVCTwOYSMXBb4+OLENDrmh2vEbOZQunRp73ZHj3NmF+y///6K8eYBRjUT7mAgTBglc8T5H3vsMatbt6424SKjkcDnAkpuEHVGy+Km5TmWvUQ+M0DIEXg2ez169PDkywMOOMCtUol8zsEbwuaIe2jhwoWxo4mBc0GjqksuucQ34UJkMhL4XMAiXrZsWXfN0gCHvtokDbHoS+QzA84zmfV0Sevbt69bi3h2ihUrFvsMkRO4h9gwjxkzJmFzH9g4YLXfeOONVr16dd2TIuORwOcSRB7LAMudBjhMxsKKQ/hlxWUGiDkbu9mzZ7urmaQxrodkZIZHBd4r4uSUno4fPz7fiatY7iTDXnPNNd6FkMRIITIdrUh5gLhevXr1fPIYI2bJrFZ9dGZRsWJFnz5IXP6FF15Qj4Q8sGbNGi873W233ax27dp5yqxnU40X5aSTTrI777zTqx3IixBCyILPM1gglSpV8nIpyudYrMisx5IQmQEtjXl89NFHLvCHHnqoC77YNmTQv/baax6HpwSVWfy41DnOg/tpayDsdMWjy+BZZ51lV155pdWpU8fzI4QQG5DA5wNctSTasdi8++67vrhQ55uMGl9R8HDe2eQxoKhbt24uSjVq1FA8fhuwKX777bftnXfesZYtW1qrVq08j6FmzZqefEeOQ7yl7fLly/8l9hxnI92wYUPfFOBFoz8Bmfm674T4N1nZGpWWbxYsWOALFiNmn3rqKWvQoEHsFZEJIEJs8CjNevLJJ+3kk0+OvSI2heUGjxctoGlEw1hevCBxcNmTWc+Y1/iD95fjxNVJzIsnuvJ1uOOVTCfE5pHAJ4g5c+bY/fffb4MGDbI33njDLTklXWUOiBLnf9SoUT5m+OCDD1bS5SZguY8cOdLuu+8+T0rk/SL+viXiSxMNpngg5PH3VO+tENtGCpQgcNPSOYu+5TfddJMv9No7ZQ4kel1//fVuXZLspemD/+W3336zV155xa1v3iNEfmsg4jwQdtz1bJjjx4QQ20YCnyBYdIjHP/300x4LxAXJgiYyA87/XnvtZR06dPCxsghZopu4pDM0BSJ8xXtz1VVXeZmhhFqIcJHAJxAWLKwTZocvWbLEnn/+eS3yGQTnf9999/VcDPrV9+rVy9auXRt7NXPhXnj44Ye9bwTiXqtWLSXECZEElEUfArhrGXLRvXt3t1hY0NTONDPgHOOmJymsZ8+efh2QIZ6p+RiM1v3ggw+sT58+dt5559mZZ57piXJCiPCRwIcAizmlPmT9UgoExOZVo5sZUCZH+dxPP/1kAwYM8E6HNMbJNJHHe4HVTr07Ner0h6fMTQiRHCTwIUFSEO5aRP6TTz5xq54YrWqkow9WPCVc5GQMHjzYpk2b5vXdHMsULw6162xwCFdQyoZrnk2vvFhCJA8JfIgg8rhoZ8yY4eVziDyLHMdF9GFmAZY8557hNGz4MsE9TTncpEmTrHPnzt6v/9prr9XwFyEKAAl8iGCtsKCzyI8bN84Tr3hO7a8Wu+iDS57ySeLxn376qZ9zRJ6pZ1GG5jS45SdPnmw33HCDT3iT50qI5KMs+pBhUScGSztOXJXvvfeeT89SdnVmwDk/8cQTPQeDDm7EpBH8qELGPEl1I0aM8Fayxx13nMRdiAJCAp8EsOTpbEaSEa7a119/3aZPn65GOBkCHpuLL77YY/Jk1mPZ0pktarBpRdy5vtnUnHbaafJUCVGASOCTBAvdEUcc4cM1sOCfeeYZmzt3buxVEWVw1ePFYbzsokWLXACZXxAl2KySa/Dcc8/Z8ccf79f5xj3mhRDJRzH4JEJzD5LsEHuaoKxevdot+6jHZMU/8XjAVU+iZbVq1SKTcDlhwgRr166db2RoQ0vDJ2XMC1GwSOCTDAt6lSpV/DnuWmK0iLyIPmzwcNMTg2cgEQmXlM+luxDSkvnuu+/2Des999yjNrRCpAgS+AKApCNmWuOi79Spky/0WHMi+tDsCFGnjOyjjz7yDPO4ZZ+OEGrAcqfmnbDTQQcdlHENfYRIVTQutgAh45gyos8//9z69u1rhxxyiBbHDGHWrFl2wQUXWPny5T0mTyvjdCM+QOall17y4TpkzOv6FSJ10N1YgJQpU8Yef/xxt+IYNUscU2QGxKjj8+PvuusuW758eeyV9IBmNmTMszHFCXj00UdL3IVIMXRHFjD05sa1SSyehZLOX3KqZAZUVXTs2NGHEjGBMF3q4ymHw+tEG9pjjz3WGjdurFp3IVIQxeBTgNKlS/vEMSZujRkzxhd+etgrUSnacH7JOifxkqFEJOCl+uQ5xB2vwxNPPOFT8/A8UecvhEg9JPApAAs9sVhc9tQSz5w50xOx+FgiH31IsCTpbujQoX7emV+QiucdzxK/56uvvuof33bbbZGoAhAiqkjgUwRKqCgvwprv16+fT+PCutOI2eiDexsrmDa2eHDIRE/FsaoMTXrzzTftjz/+8NbLhx12mF+3QojURAKfQuCq3XXXXb2d7WeffeaDavbee2/FNyMOFjCCTh4Go4UpPaN3Pec/FaxjLHdKOrt162ZffPGFnXPOOdaoUaO0zPwXIpOQwKcYdLWrWLGizxDfeMSsRD7a0N0Q1zwW8bBhw/xfJs+lwnmnnJNs+Y8//tjb0J555pkp6WEQQvwbCXyKgcVG7H2vvfayKVOm2FdffeXJVxoxG33Y3HGesZYHDx7s8+Tx4BRk0h3lcKNHj/Zad5I/GZpDYyYhROqjMrkUBCHHervooovcgn/33XcjO4FM/Bu62lF2hrv+rbfesh9++MFFtiDANU9vBno1IOrnnXeeh5CEEOmBBD5FwWojDku3M2rjn332We/5rRr5aMN5r1q1qrVo0cKb31A+R7imIM771KlTXdxXrFhhl19+uZfwKWNeiPRBLvoUBkueeDxWHc1QcN3WqlXLa+RFdOG8YzETqiH2zceU0iUzHk/cnSY8I0aMsEcffdSvu6hMvhMiU5DApzgkW+25557+oGc5ZXSHHnqo2oJGHM478XiseFz1zCkg2TIZFjShoK5du9prr71mTz/9tNWrV0/iLkQaIoFPA7DgSLTDTfvkk096Ap4ajEQfLHbOO/kXCC4ij2Uf5nlH3JlyxxAkutQ1b95c4i5EmiIzME0gw5p4/GmnnWatW7e23r17K+kuAyBEc9NNN7nIMrmNKXRhwfXUv39/71B3xRVX2GWXXebXnRAiPdG42DSDRZhSpV9++cWee+45O/zww93CF9Fm/Pjx1rJlS7vwwgvt2muvzZHwxm/tnFj8XFfjxo1zccdz8N5776n3ghBpjlz0aQaLdcOGDb1vOQ+Sr1K1d7lIHMwqoHTuhRde8KRLMu03bRNLOd2yZcts/vz5/sDapyseCXPMbge+ZtNrhY0AFRoMkFm9erWHgfh5Qoj0RhZ8mjJ27Fi79957PdnugQce8AVfiXfRZtGiRZ70RtIdZZMnnHCCCzai/Ndff7lXB0ufawNxR9QR83iiJj3u2RDSY4HYPm5/bn/K8MiU//XXX+3WW2+1Y445RnF3ISKABD5NwVr75ptvrF27dj6UhoWZrmey5KPNwoULPQeD3ggPP/ywW/OUsn344Yc2ZMgQt9gR/E2b4yDyiDaNk+LtZo888kgP77BhYPbB1VdfbU2aNFEZphARQQKfxqxatcoXZsrnWKwvvfRST8oS0ebPP/+0G2+80YfRMG2Q6YNMeMspeHrYDJKwyQbhxx9/9OExdKpjAyCEiAaKwacxWGXUSgNTvphCR7cxFn4RXWiAQwtbutyNHDnSrfbcwJ6er8GVj0sfDxAVGvFrSQgRDRS0TXNofEPv8vr16/u0L8aNIvQimuB65xxTq467fs2aNbFXcg8JedOnT/cZ9LSlzc/3EkKkHrLg0xxi7sRMSZqaN2+eZ9YzypOPsfBFdKCUjTh7mzZtvKQtEdE1vgctkBF6LHka6ShZU4hooDs5AiDyuFepkSZD+o033vC4qtIrogVxdprd/Pzzz7EjiQGvAGOJX3nlFRd7IUQ0kMBHhHjiFLFUEq86dOjgoz4l8tEA6x0RZk58GJB5//nnn9ugQYP8uRAi/ZHAR4j41DE63RGfpWb6999/l8hHAJrVMPyFf8NixowZnpEf5s8QQiQPCXzEQOQbNGjg9fFkSXfp0sXneYv0Bm/MxIkT3ZIPC7431RjU2Ash0h8JfAQhJk83MoaUvPnmm9anTx9bu3Zt7FWRjpBXkdtyuLxAVzs2EvL6CJH+SOAjCjH5k08+2buTXX/99da3b19Z8mkKLWe//fbbpJw/hJ1Yf5ieAiFEcpDARxga3lx55ZU++pO+9SRRyZJPPxYvXpzU80bzGyFE+iOBjzhMIGvbtq23sqXEavTo0RL5NIPJcMlsQsNkObnohUh/JPAZAJY8Ir/77rvb448/bt99951EPs1IpuAqi16IaCCBzxDobMeAErLsseRxwyrOmh6ULVs2qeNbGSurqYRCpD8S+AyBBbtmzZou8liDZGVT9yxSHya8FS9ePPZR+NCyVgiR/kjgMwh60yPyNMKZMmWKi/ysWbNir4pUhc6EnDf+DRs8PHXq1FE/eiEigO7iDANXLwt4kyZNvC0pjXDU2CS1wfty5plnJmVW+1577eXdEIUQ6Y8EPsNALBCK5s2bu2hQOsdj+fLlsc8Qqchhhx1mVatWDd2yrlevnk+UUwxeiPRHAp+BsHiTuIXIH3vssdazZ08bMWKEMutTmDJlythpp51mJUuWjB1JPBUrVrSTTjrJf5YQIv2RwGcwO+20k51//vlusTF9jhp5ZdanHjS6IV+CQTBhWvAnnnii1a9f34oVKxY7IoRIZyTwGQyW/D777GM333yzP7///vtt0qRJanKSIrDZYmAQ3QjpY3D44YfbBx98EErJ3IEHHmjXXHON7bbbbnLPCxERCv9fQOy5yEBYzMuXL++z5L/88ksfNnLIIYdY6dKltdAXEHStmz59uvXq1csee+wxW7ZsmXXq1MkuueQS23ffff1cjRo1yo/ndzNGZQWx/WeeecYHFCl7XojoIIEXDo1wiMt/+OGHLhxkUpcqVSr2qkgGiDVz/KlueP75523YsGHWqFEjt94PPvhgF2PgOfHyqVOn2pw5c/IcVuH7sZm74447rGHDhkkpwxNCJA8JvHCw1rEMEYtXXnnFrchatWoltYNaJsPEOMIj3bt3t7feessFnCmAZ5xxhudKbGxZc66wurHm6WNAjH7VqlU5tuY5pxUqVLA999zTs/ObNm3qbYzlsREiWkjgxd9g0VWvXt0WLVrk7uGdd97ZqlSp8rflKBIPGyrCIoMHD7ZXX33VXe9UNxAPp2UsYrw54eWckD9x/PHHeziFDRmbABrVrFu37j9WPYlz5cqV8xg7G7cLL7zQjjvuOE+sBLrXhZmhL4RIPlnBrl8ZVeJfMGzkiSeecNFp3bq1W5GKzSYe3udvvvnG+vTp4zH3/fbbz8vUmPyXm9a09DD45ZdfPCFvwoQJf/c1wPLn+7BJIPzC9+fBJo5/2RTQ6Ijci1atWrngK4NeiOgggRebBdcvk+eGDh1q9913n8do5cJNDNxyf/31l7399tv2ySefuNiefvrp3mEQ13le32f6GOANePjhh730kbI3mhoh2jwQeax9rHzg9yCOz2YONz+x/v3331/nWYiIIBe92CwIAcKDy/jrr7+2ypUre1xYlnzewW1OUtzAgQPt5Zdftu+//96T6K699lo76qijfKxvfsSVc4NQf/HFF75ZaNCggQs9VRKIO0l0m8by2QCQTMlGg68lLMDHEnkh0h+t1mKLkIR16623uqv3pZdecvevyBtY1yNHjnRruWvXrr6Buu222zyRjlh6okCk2UQg6DlJkETwjzjiCLvooovsq6++cnf96tWrY68KIdIZCbzYIlhxlFFdccUVHi+mdEuDaXLP3LlzvY6dcrQ///zTuwfSXIg2wYluC8t5IgEPb0BOvS18bjxE8Oabb7qbXwiR/kjgxVYhXnvooYfaBRdcYD///LPH5REspW5smxUrVtjw4cOtffv29v7773sjGUT+5JNP9rK0RFcnEAJA4ONu99yAxd+iRQv/nfDWaPiQEOmPYvBim7DoU14Vj9XiwqWsSo1RNg9Ci6X++uuv24svvujvH3H2s88+2xsKhdVbgJ/7448/2vz58/9O2MsNO+64o5/jZ5991rPva9eurVi8EGmMBF7kCBZ8YsXUWPfo0cNr5BF5CcC/iYssdezffvuthzeuu+467z6X3yS6bUGcn7I7/iWuvv3228deyRm49DnHhGGoyadcD0+DECI9kYte5Bjixc2aNXPrEOuUlqrUUgvzjc+MGTO8dzzNZ0hMZALcZZdd5tUHiXbHbw5+B+rp2WTk1UvARu6BBx5wa/7JJ5/0hD0hRHoigRe5ArFi6AkC8NRTT7mVmskij6jiEsergbVOCKNjx4723HPPee5CMsFyp5c9eRP5CQPw9a+99pr9/vvvnnSnTZwQ6YkEXuQamqHceeedbtEjBDRLwWrMJEgyJBHtu+++81JCNjuELEhQw2rHgk828X70JNnlN87POWYjRzOe/v37+0ZGCJFeSOBFriGOzLS5G264weO1DEjBNZwJmfX8jQyG+e233zwznhQWNjh33323Pfroo/6+FFReAhn0xNFJrstvSIANwnnnnedC36FDB5s8eXLGbeKESHeUZCfyDEKCFU8/c8QFMUh0XXcqgbizoaETXbdu3Tw8QQe622+/3ZPa4i1gCwpEmOEx9Jpn2lx+fx/a2zKxjr+T2nhCDiQKCiHSAwm8yDNYiZR9segTg8ZFXLNmzdDKwAoSSgN/+OEHD0nQCpYqAiayMWp11113zXFTmTAZM2aMZ/Cz6dhrr73y7Ung68m14PzipqcskmqAgvJQCCFyhwRe5AusPCxGmrrgsqY0ix72ycgaTwbxzPTPPvvM57TjmkfUiU8jdoxYTRXBY/rf+PHjPYufvgWJgPPImNk//vjDZxJQRrfLLrukxIZGCLF1dJeKfIMruGXLlj69jCYpH374YSSSskiiGzBggJeLMR8fcbvrrrv8b8VqTyVLlgz6eBvh3Hax2xYMq2nSpIl7ZhiSQ3a9ECL1kQUvEgLuWyz3efPmuaW79957uyCmqzsXsSQznnp/8gpo1Xvaaad5nkFuZrUnC8IjWPCIMKN9E5kLgbWOqx5vDVY8mwnONd4LIUTqIgteJASEnNGkrVu39mSsF154wcehphMk0cXHrVLTTtyZODslgYgmPQAKOpFuSyxYsMDr8ekpH4bw8j15DxhvO3ToUBs7dqxK54RIcSTwImEg8sRnmZSGBUmzlylTpsReTW0QdxLU7r//fh8OQ/Ig5WEIfJUqVdwyTmVvRFzgsbTDsqyprz/ppJM8z+K9997zuLwQInWRwIuEggjixqYXO/XhtD399ddfY6+mJpT4MRQG7wMz72lcQ+SKXuyJjmeHBR3smPJHxjuu9LAg7MJoWSx4ci3weAghUhMJvEg4ZF5TqoVrm9ItasYXLVoUezV1IJbMCNybbrrJHnzwQTvssMN85v2pp57qNf6p6o7fHPTBx4rHug4zwx1PBlY8mfp0uWMcrlrZCpGaKMlOhAIiwyQy6sWx9PgYyz4VauSJHdO45Z133vFEOmrcH3roIWvVqpW7uNMtMZCNChupWbNm2SmnnBL6BDg2PpRGsjmiVW+tWrW8lC7d3jchoo4seBEaZJuTmHXyySdb165d7YMPPvB6+W2RvX69rVu1ytauXGnrAvHl40RAnH3p0qX25Zdf2h133OGeBZLGnnnmGWvQoEFKZsfnBDYohBkoZ8vtDPi8ws8iEZFqA/of0L5XCJFayIIXoULCF13ViMf369fP68exMDduhLN22TLLXrTI1vz5J/1Wbd2ECbbkm29s2ahRtn7KFCsyf76tmTvX1geiH6g0fmLLyqUbmo0FSWFsMh555BEXqHvuucfOPfdczzxP58YtbFqGDBniz9lQJStvgIRKvCGdO3d2K57zms7voxBRIyuwaqI/IUQUKFxiuHM7derkYnTVVVdZ7dq1rVAgDmt+/92Wf/WVlfjpJ1v69VAr+eMPVmZtvPwKl++Gy3P2DjtY4Tp1rFitmlY4ELFCVataMVrEbiNOzoCUP4ONw4gRI7wbHa55ksRo3LLnnntGwq3M38SgG8ILbdu2TaonAgueygNc9UzSO+igg+SqFyJFkMCLpEEvd9zhWHn/u/pqqzh2rNmHH1rR4cOt1Kw5tkGqtyYO2baycCHLqn6QLT7ySCvWooVtf/TRlrUFkV+2bJkLO674v/76y7PiSaCjTj9d3fGbY9KkSV6tgLjedtttsaPJY+LEiV41QTnhww8/7N4RIUTBIxe9SBrMSCfLu/8779h+gdjv/tprVnbM91Zi6TIr5OkgiPvWH0WC/WiRWbPc4l8+YYKtpMMalnyJEsHrG6CrW9wdz3AYrPiLL77YLrroIi/zikqffGB/jgXPxLcDDzzQatSoEXsleSDoNAF688033YtAAp5c9UIUPBJ4kTQKZWVZ+dWrbY+BA+3gfv1sp8VLrVA2wp0bMdgg9IXWrbfigVW+fOxYW1uqlBUOhBuRJ5Oc/vG0y2XwSt26de3aa6+1+vXrR8pqj4PAMwBn3LhxPsmPMbEFAcNtqInv3bu3tynmIYQoWLTNFklj7fz5lt2jh9X7eZxVWrMemQ6OIth5IcsKr8u2HX/5xaxzZ1v4ySc2cuhQ7z7XvXt3tyqvvvpqu/LKK708L6qQ5EZeA5sXrOiCgmRKPCRk8VN6yGx6IUTBIoEXSYFSt0Uff2zZXd624jNnWVZCMj8CkV+73kqP/8WmPfqovXrvvT7prHnz5t6VDqs96vXZCDwtaimVo5VsQUIW/Y033ugVE5RFpmJzIyEyCQm8SApLx42zQu+/b2WCxb/Q+kTmdWZZkVVrbI9A5M8IhPx/11xjZ5xxhg++iVKsfUuQX4CQIvBh9aDPKWyk6AZIq1863A0aNMhDCEKIgkECL0JnzfLltv6TT6zk0GGBxU0JXKIt6iwrH2wajpgxw6qtWOF14JlSqkUXO5rMIO6pkGNAp8ITTjjBk/169OghV70QBYgEXoTOsokTbfXgwVZsEYNJwrnksoL/yv05zYqMGmWrFiyIHY0+9IFH5GkJHOaQmZzCxopqiTPPPNPDJR07dvRyRSFE8pHAi1Ah9l4qsKx3mDbNCgXPwyOw2Jcvt9Vjxtiav/6KHYs+WO/xNrWp0OcfKJGjVO7yyy+377//3pMe1cpWiOQjgRehQhva5b/+auvmzQ8+CtdtXmhdtpWeNcuKzpuXsP71qQ4Z9DNnzvQEu1TKOSBk0LRpU+8a+Pnnn/usffIFhBDJQwIvQoX+8WvmzLH1S3HThivwfPes5StsXWDRZq+Lt7uNNsuXL7d5wYaGBkKpllRI05tmzZpZiRIl7KOPPvLfU0l3QiQPCbwIlaw1ayxr4UKzldueIpcI1ixebKsDIVm/dm3sSHRBLGkuwyz4ZA2YyS00vKE9MG2KEXk8DkKI5CCBF+ESiFDW+vUJqnvfNuvXrPZRs5YB7mBq4ElgK1OmjCe2pSK46o8//njvskeXu2+++cZL+oQQ4SOBF6GSXaiQZRcpEvybnLK1QsWKW2H60mdAL3Qy6OfOneuucBr6pCpk+F9wwQX+e/bq1cun+8lVL0T4SOBFqGQRF6bDmg+DCX9RL7r99la8QgUrlAFNbphxT535dttt549UhdK5/fbbz8477zwPJ5B0p9I5IcJHAi9CpVCpUlZ8zz2tSNmysSPhwdyataVLW1Yg8lsaIRsl4lPzSgd/M49UBpGvV6+eHXPMMdanTx8bPXq0suqFCBkJvAgV3OVFdtvN1pUrG9jvYVrw2bY2EPhhs2baC++/b18OGmRz5szxeG9U3cFYwb/88ktKZtBvDjYhZ599tucL0AAHV70QIjwk8CJUsgoVsvV77WVr9903UHsut/DEdlWpkrasShWbsGCBvfTSS3bTTTf5ZLO+ffv6ABQs3qjApgWBZwNTJfib0wGseAbSXHPNNV67/+KLLyqrXogQ0Tx4ETqFA8tt2axZtm7UKCu+nHK5MBLusm3FkUfaTnfeYUc0bWpVgg0FpWO0S+3SpYt9/fXXNoYud2vWeLIX2d3p3K8e9/akSZNsyJAhdtZZZ9mee+4ZeyW14T1nrC3n4OWXX/bfu1q1arFXhRCJJCuwBJTOKkJnTWBVrwos6uJd3rai2Yl2HGXbwpLFbEWbNrbL3XdbVtGiXkKGdUsiGq1cmW6GoIwfP95nlp9yyil26aWX+qx4WqumG2xUKDt7/vnn/e9KFys+Dg16HnnkEXv//fc9Hk8zHCFEYpGLXiSFouXK2crTT7elBx1k6xN81a0tXsysSRPb4aKLrFCxYm4lEpPGgqdHO81WiP1++OGHLoo8p/EK/5500knuxmcDQMlZuiR+MWDmt99+s8KFC6dsDfzW4Nxccsklbs2TXa/Z8UIkHrnoRdIovtdetmztGrOffrSiS5cYE+DyR7atL1LIlh1W09bffLOVrlXLY/6bAyudcaq77babZ3LTXe2II47wY5Rtde3a1b788su/y86w8hHPVHXjk0/wwQcf+KaEoS7pGG4oW7as7RVcE48++qj30j/88MP9PRdCJAYJvEgahYoWtRI1ati8OXOsyMQJVmTVSsuiti1PZFt2IO7L96lsC6+/3nZu3jzHte+IIRYk4nLUUUf5aNMTTzzRE75op/rWW2953B4vAB6AuAufr4s/Chpc3Hgj2LA0btw4djS94H0kBk92PRusAw44wM9JKry/QkQBCbxIKoh86UaNbEbwvMj0vywrsOQLY9Xn2JoPrPbgsahYUVter66tefppq3T66Vu03LcF4s0cdbqtHXvsse4urlWrlov94MGDPdN7ypQptnDhQh95SsoKAoSlWZCx+/nz57vn4cADD7Q6derEjqYfvIfkQfz0009e8lcj2ABS9ieEyD8SeJF0EOPta9e21fvtZ0uCj4suW2qrlyy2IuvXbUXms21dVratKL2drT3kYHuvbFn7MxD2w845xwol0K1LshcJayeffLIdd9xxdtBBB7m1TBY+cfrvvvvOBZ/kPcDFzxz2ZFudlJkRUmgUbJb2pQQxjcFTQqvdTz75xCfOHXrooUq6EyIBSOBFgUAL22KBkBarX9+WHXywLaVGvnRpWx5Y8+sKBRZykcBCLlrE1pQobssCUV+xx+62/ojatuCUk22HRx+1wYGg9hk2zOrWqxdKH3YsS74vbmNi9fWD37Ny5cpuOX///fcuRpTdEQPHskekEHq+LmzLHi8Cdf1ffPGFNW/e3L0P6QzvF2VzVDvQ5Y78BzZZ6dC8R4hURmVyIiVgvOuiCRNscWApl5ozx8quWmVFg0tzRbDILyhZ0tZVrWoVjj7aSpIxHog7Lt077rjDxbdNmzZJa9VK9vr06dPdoseanzhxolubuJl33XXXv/+tVKmST3kLI2mMW7Zfv3728MMPe+yaOHwUoCqAhDsa+NCkCEteSXdC5B0JvEhLcJG//fbbXgN+9913e6JZssUAixNRIvOe+DFNdeLHiY0zYAWRIpEskS5nbtkePXp4tz7+TeVJcrmBEkVq4p977jmrGmzoWrVqZbvsskvsVSFEbpGLXqQluG9Z/BFXRIF547h5kwnxd34HxIjkMJLzsKYRc8SeFrlfffWVjRs3zsvaKAvja4jX5ydmj8AzV51wQdOmTT1JMArwnlAuR4OiTz/91J/jEZEVL0TekMCLtAQxoNQN65VkM4QTq7kg4rbEkBF1fhfi9Ag97Vf32Wcff41NCPF62srynAx9fn/a5RK3zy0I/IABA1zYGzRoEKlYNX8TGyHa8I4YMcLL5gh3hJ3XIEQUkcCLtIVFnzg3iW5Y8bjEU8GlG08a4/fBsj/ssMNc+Dn+119/uXWK2I8dO9Y7uCFo5BDk1KrHld29e3d3/VPHHzXxo9EQ53HYsGE+cY5KBkrn8uP1ECITkcCLtAaLD0sYi3bBggWedJcXqzgMECQs+3i73IMPPtit+yOPPNIz3xEwGurQXIcNCqLGY1uCjcCTe1C7dm2P8UdN+Pj7ab/L5u3jjz/2zQ+u+lQ5r0KkCxJ4kdYgBgjB4sWLvfELwkBdeCpZtQgwcWTCCFii9F/HuqeG/YQTTvBNChn5DF7BMmejAhznazaNQTNIp3379p5YGNVJbPzNbHbweLB5YyPDpkhWvBA5R1n0IhL8+uuv9sADD7iw33XXXR7/Tge4/Si9w1X/888/e9x55MiR3kyH2em494mz8y+ua5gzZ44dffTR9tprr1m9evX8WFSZMGGC3X777b4xeuKJJ7xGXgiRM2TBi0hAghsWL25vLHoy29PBpRu37kkYxI1P21lG2TZs2NBd8UzAozf+G2+84aWBiD6bARILL7jggqRXDiQbwhuI+quvvurZ9bw/yqoXImdI4EUkQChxfWPJ//jjjx7vRvzSzaWLB4K4Pe5oxAwR519EfeDAgfbkk0+6uCP2xPPjyXl8XSqFJRIFfxveGCoPGK5DpQTJhel2XoUoCCTwIjJgsSOOxGyxfolPE8NOZ/ibKBU77bTT3LInFv3ZZ595Nz0yzNnMUHq3Zs0aFz1K5nhESQD5W/i7qf2ngyAhi3i4QgixZSTwIjIgBLjqGcTCrHT6yOPSjoJly99GHJpNCy57PBQ333yzJ+QRt2dTg/gxrAVXNiJPyIK/PQpiz9+C5f7ee+95WSSVCMqqF2LrSOBFpEAIyL4eOnSoW7jUoROTj4pFi6V+ww032FlnnWWXXnqpD8EhGx+XPsLHxDv+9mnTptmMGTO8bS6CT9waQUzXzQ7njxAMSYmPP/6451hoII0QW0cCLyIHVjyu+njZXJTandKeljj8Nddc4/FohA93Nc+PP/54b3yD14L59XTPGz9+vM+1/+OPPzz7HkjoYyOUbvC3Ul6Il4LkQ7wYDPaJyuZNiESjMjkRSUjKeuSRR7z0jAzsqGSbM0WPBjdY6ZTObQ7q5LHcZ8+e7T3xidMTs+e9oCkQbn6+B8l7eDvSTSDxzDBJkJDFQw895Bs6IcR/kQUvIgnuaFrA0iUOtzZiGIVYPGWAPXv29Al6hB42B39nvIMebmyEHFHH2gVqy2msw4MpeGTkA+8Zj1QXfP5uBtHQ5Y7NDJa8XPVC/BcJvIgkiBSWHeL1wgsveCyebPR0h1IxyuTuv//+HIcdeC8QRJIO2ehQXkdvfDY+WMNsGuiNj/Dj/saFn8q93/m98MhQOshmh5AEG5lU35gIkWzkoheRZtasWXbuued6EhpCn+6d0K688kobNWqU967PK9zydM8jjEFMn2Q85toj9HxfauvJWL/wwgvd+scbkGpQBknPg8cee8yF/t577/WhNEKIf5AFLyINCWiHHHKIJ6Zh6VWvXj1tXfUrV660rl27ese7008/PXY092DpYv0Tj8fLwftCIiKlZ3Xr1vXjlN7179/ffx7Z+fEsfJLzUiFhkb+BEAxhCPIR8EaQaJiKmxEhCgoJvIg0CAHlVVirxONpAYu7Oh3BUqUOnIY3NWvWjB3NH7w/bHgQb2LbxOn53k2bNvXmMjQKIjnv3Xff9U56U6dO9Y1GvFKhIN3i/N646hF3Kibw0jBoqCB/JyFSCbnoRUaAC7pVq1Yef8atm44grrSu7dSpk3slwoalgSQ2JvVRZkeNPTHviRMnuvWMF6FFixZek15QSW78jpzbDh06eGlgu3bt3JIXQsiCFxkCVvvy5cvd5YybnoS7dLP0ENa3337bbrzxxqS0ao1b97js8YJQWnfeeed5Yx3E9NNPP7Vnn33W6+wReCx6Ph8XPl+bjPeXn8FmA08DtfFsRsiq39L74/YMj/XrY0c2fA8hoogseJEx0ML2pptu8kWebmjEntMJetDT4GbSpEkpURZGnT2xeh4//PCDN9I5/PDDPaP9iCOO8CExcVd+2HkPdOtj88NM/UsuucR791MNAOvXrbN1S5daoeCxat48W7Nsma1ZtMiKlC5txYPNQREqBoJHoeDjQiq3ExFCAi8yBjKvGVjStm1bO//88+2iiy5Km6QsbtPu3bvbiy++6LHwVEh0i7Nq1SoXe4beIPaU8QHZ+Myrx/JH7OkqSJJeWBYzyYBPP/20N/e58847bb9997U1f/5p63/5xeb162flvv3WigcW/rpgM7Bu5UorTMJgyZK2MrD2l9SsaWVOPtmKVK9uxffYwwoVVZ97kf7IRS8yBoQFV/2ywIJjMAuuehKz0gEEnt8ZS5UEuFRyK+NN4H2ltv6YY47xPvm77bab98P/6quvPAGO/AESHQmTUKLH78/XJdKyJ5TA79G3Tx8rs2KF7Tlrli194AEr++BDVjbYeBT7c5oVnj3XisxbYMUWLbEi8xcGH8+24sHvWWbUKMsOrP8FE36x7MCaL0IiZvD9skL2PAgRJhJ4kVEgKgjByJEjPSudZLV0GCmLKNK5jXjzcccdl9JxYzLyyWY/8cQT7dhjj/WaemLj1Nl///333iOfxDji+PxdnI9EdNDj67cPzmWpYDNR5PXXbbd33rFdJ0y0wu6jRKh58DM2fWx4rcj69VZm8mRb/OWXlhVcG2tw3wcbwCy57UWaIoEXGQUWIwlYiHu8tIqYcdgx4vxCKRgJgrScJc6dygIfhzACdepktfM700UPyx4rHut+0KBBnqBHwxrc67j08zP5LzvYLKwYMsR269nTDvtlgpVbsTqQ77iA5+R7bvjc7ZYts6xgE7Lq999safD7bKesfJGmSOBFxkEcGFculiQJa2RdkwyWyqJJnJvyOGLa/L7pBO8ruQ7E4NlMMfGOGns2V5ThMfGOVrn0xec5dfZ8Dd6WnLrx1wcboCXDh9uaxx+3cl99ZcVWrgmOcj7zck6zrPC69Vb0999txdSptv6QQ6xYxYpy14u0QwIvMg7EA0sRoScpjH/p5Ma/qQoehzfeeMNOPvlkrztPV3jvsezpdU9vfLLtEXu68yHsJOoxMY/udDynNz6fz/naUmIh+Qlrxo2ztU8+adt93s+Kr1wdHM3vZi3LCq3PtpLz59ma4HfIrlbNiuyyS+w1IdIDCbzISOLuY0rn6NSG2GBhpir01Cd7nuYylSpVih1Nf4i9874z5518iPhQIErcGIRDrf2AAQM8fg+Mt9208mF1IMDLu3e3ku++a8UXLgmOJMoTk2VZa9daodmzbXmZ0lYo2IgUKVky9poQqY8EXmQsCAUJdggIbmDi26lqxZMUyCCYJk2a+MYkavD+k2zH34bAcy6w7Gmbi9jTRY8NDq16//rrLz93nKsiwdetGzvWCr36qpUc94tleUJdIkMtwfdatdLWrVlt2cHvUmyPPWLHhUh9JPAiY8FdTCyeBi30qcdNTMZ3KibckRCIt6FZs2ZJ6WJXUHBOeP8Rb84NSXmUM5KRj+DjeSEp74MPPvD35K/geeFBg2y3AQOtWEJc8/+lUHa2rVu40FbvtJOVPPZYfsnYK0KkNsoaERkNmdtnnHGGu4q7dOniDVtSEZIB41ZuJsHfzIZmj8BypuTu1ltvtUcffdQeeOABa9y4sf05bpz9/vEnVnIJrvmwyLISS5Zaicm/2qrFi2PHhEh9JPAio8FipEHLdddd5zFfmsmQsZ5KkERGBz7c0mSVZypY72xwiMOTic9s/Ieuv96ODjYBiXfN/xus+EVDh9qMjz+OHREi9ZHACxGANUhLVVz1JLSlUgdn6sbZiBx00EFbzCTPVLYL3ptdZ88KnoXtNs+yojNnWvHffot9LETqI4EXIgBX8DnnnOMuejrGUZ+dKtAEht8HNzVCLzawfu1aW7dkiRVP0l5sh1WrrPyKFbGPhEh9JPBCxKCBzEknnWRPPPGEx7xTxYqfMWOGd7KjPC4VEwALCobGLJuF9Z4cigTXQ9Fgo5VK3h0htoZWCyFikLl99tlne9ObRx55xJuspAJkja8ILMcdd9xRFvxGFCpc2IrERsImi+z16/0hRDoggRdiI6jBvuGGG+y7777zJisMQylo/vjjD08uI+NfAv8PjHQtVaFC7KPwWVmkiK0IzgMbCyHSAQm8EJvQsGFDO+200+ztt9/2oSgFCRsM6vSZzrZpB7dMh97w6wILfkmJ5EwDXLz99jZ/xx1jHwmR+kjghdgEStEuu+yyvye4MYO9oCCDngdhg3QYa5ts1gSCu/Sgg4JnYcfFs61Y1WCTVbNm7GMhUh8JvBCbgdr4Cy64wD788ENvkVpQLF261B/0ypfA/5diu+1mperXt9Uhhy7WFCpkhapVs7ISeJFGSOCF2Ax0tsNNT/vaV155xaZPnx57JbksWLDAk/0YrcrvJP5NVunStioQ3iU70Z8/LCs+29ZU2sXWHnGEFY1wm2ARPSTwQmyBChUqWOvWrX24CbXxBdHhbuHChW7B05ddJXL/QKna4sWLbdDQodY5eAwNLPjVhbHiEy/ya4sXs9WHH27F1YdepBlaMYTYAgjqYYcdZueff74LPPPJkw0Cj7gzUU0Z9BtA3H/55Rdr166dtbv7bvtz/Xord/bZtrxC4q347KxsW71zBVtz8slWokqV2FEh0gMJvBBbgUEnTDJDYHv06JHUJid0r1u2bJl3sOPnC/PEx06dOlmdOnXsq6++cpF/5sUX7ahHH7V1l1xiSwqzpCWqTj0Q96KFbWbws3a8+GIrrBwIkWZI4IXYCljNCOxxxx1nQ4cOtf79+ydN5BH4RYsW2U477ZTRJXK837Trfffdd+2YY46xFwNBp1cB42LJk6BHQNFgA1S6TRvLvvEGW1V2+0Ca83uO1tuq4kVtxVln2d5du1rhDJviJ6KBBF6IbYD13KhRI28Vy0jZ33//PfZKuGCtMgOeBjeZmEG/fv16mz9/vvXu3dtzITp06GANGjSwbt262f/93/954uHGFA82QsVvvNGWBJb88grlLDsLSz63Qs/nr7MVpUvZ4laXW8ngZxbK4Al+Ir0pHNwo/xd7LoTYDFjxZcuW9Sz2vn37uuAeeOCBoWe1056WbnpsLGrVqpUxIo/ngsTCCRMm2DPPPGOvvfaah0o6duxo5557rr8fW8pHKLLDDlasfn37Y9kyKz57thVetcJs7TrcAJa1lYlzWPzZhQvZupLFLXuvPW1qsKHYPVgai5YrF/sMIdKPrOxkBhWFSGMoWXv55Zdt/PjxdtNNN9khhxwSauIbY2tvu+02n31+0UUXuchFGSx2QhITJ060YcOG2WeffeahCab8NW3a1MqUKRP7zJwx/9tvbX2XLlZo+HArPWeuZS9ebNmB8Bdat94KBz9rXXDu1hctYoXIb9i+jK0KNg4rDz3USrVpY9tVrRr7LkKkLxJ4IXIIt8q3gWg8//zzPjv+wgsv9Az3sPjtt9/s0UcfteOPP94FLspx+JUrV7rF/sUXX9g333zjf2vdunW9bTBNh+gumBdWBaK+9IcfrNS0abZs7FhbO2WKFV2xwkquXm2riha1ldtvb8X22stKHnCArdl3Xyt54IFWjI1EiBs3IZKFBF6IXEDt9ZtvvmkDBgzwuDDJd3kVn20xZswYe/31161Jkyb+c6LY6IY8AxLo+vXr5xY7MXdE/ZRTTrGqgRWdqE0NE+DWBtZ7drCRKBQ8DxY+y8aCL1zYCgU/gyS6LA2RERFDSXZC5ILtA4uPRC9E/aOPPvJhNGHtkZkDTx98Yv5Ra3KDO54pefQXaN++vb+XFStWtFtuucWuv/56n82fSI8Fg2mKBpZ5sZ12siK77GKFg5/Fv8UqVLAiTOmTuIsIIoEXIpdgWbZo0cIb3wwZMsST4cJg9uzZnnAWNYGneU+vXr3swQcf9Ix4kgevvPJKzzegWoGyNyFE/pHAC5FLihUr5kJEHP7LL78MzYrHwqXRDQIYhS52eCOYs0/hziOPPOLHrrjiCrvjjjvcLb+17HghRO6RwAuRB3DVn3766Z5ZT/yYJLFEQmwacd9xxx3TPnue92bs2LH29NNP2/333+8bF9zwd955p2+UcM1rkI4QiUcCL0QeoRae5Dc6rI0bNy6hVvySJUt8uM0uu+yS1i5rBvUwjY+ywhEjRtjJJ5/sMXdK35jUpwE6QoSH7i4h8gjCS+MVEu6wTLG6E0V8ilz58uXTsjwOq50OdLw/CDxZ8XSio56fjZHi7EKEjwReiHyAe5kYMs1vevbs6dnhiYD583PmzPEOesT80wU2OfQKuP32261t27ZWpUoVe/bZZ+26667zenba/spqFyI56E4TIh+QFMa0OYaevPTSSy7MiYAM+nnz5rkghlVnn0jI9p80aZKL+tVXX21TpkyxBx54wJ577jkfEIMXQgl0QiQXCbwQ+QThoukNTXDee++9fFvxxPKx3hH3ChUqxI6mHvyeZMbzuzLhrVmzZvbJJ5/YXXfdZW+99Vae2ssKIRKHBF6IBLDnnnt6yRezyskYz0/CHcl1JNkh7rjoUxFi7PFGNfzdDISh497AgQOtefPmVq5cObnihShg1KpWiATBcBhizcAUtF133dWf5xYGrjz55JNeJnfzzTd7fXiqsHbtWh9hO3z4cBdzegDQdY4kuiOOOCIjx9oKkapoiy1EgqCkDVc909D69OnjlnheIHue/uxY79TbpwKEHaj5Hzx4sD322GNusROaoJ6dDnRHH320xF2IFEMCL0QCYQIaLmqa3yD0eQH3PAJPKVlBl8jh4MOjQA07o3JfeOEFt+CZpEcSHQmGbESUQCdE6iGBFyKB0JGNPvWUtlEHnpcOd1jwuMIZRVu4AIeg8DuMHj3aOnfu7MLOhoXOc7SaPeuss7zLnhAidZHAC5FAsGR3331379j29ddf+3zz3IArfPny5e6ap8a+oKAigPp1avwZjXvsscd6N7oLLrjAqlWrlla1+UJkKhJ4IRIMrnVi0sTku3btar/99lvslW2DwJNch8DvtNNOsaPJgZ/NiFomvZEsSIY8iXP33HOPtWzZ0qpXr+5lb3LHC5EeSOCFSDBxK5668Pnz59vnn3/uop0TcIuTzIarn1KzZMHIW37Pdu3aeU073gOGwfzvf//zzQo1+UKI9EICL0QIkFF+/PHHe/kYbnri1zmpSEXg6UOPwBODDxus9h9//PHvbHhq1xF5njNIJ5Ub7Qghto4EXoiQwM2OyGP9Mjc+J1Y8neHIoCc5L8w4Nz3jaVRDK9lrr73Wp+Eh6g899JBXAhAeSIcWuUKILSOBFyJEGLZCHHvQoEE+hGVbVjzCS1933PNhzEjn59Na9u233/bJbuQIkBHPyFvi7Ah7QWbuCyEShwReiBDZbrvtrGHDhv7v+++/b3/++WfslQ1ii4sctzyWO41xyKDHvU8XPIQ2J279nMD3Ic5OB7qrrrrKHn/8catXr5516dLFLfg99thDrWWFiBhqVStEyHCLdevWzWvJEVeGsCDsJOAh+GSu0/KVBjc8cJ2Tsd64cWNP1iMWzwYhLwKMN4BNw9SpU91K51GjRg2f+EaMXW54IaKLBF6IJEDiXMeOHe2vv/6yWrVq2a+//mrff/+9jRw50i3rzcEAm8MPP9xd/DSY2W+//ax06dI5LlOjlp059Z999pmHB/AMsLlg45DsEjwhRPKRwAuRBHDDM0qWpDZmpZNIh3WdE6g9p7kMMfKzzz57q8NnuJ2J4/MzGN3av39/P3b++edbgwYNbLfddlOMXYgMQQIvRIhwe9HLHQv60Ucf9WEtiH1eQOhxrV955ZW2zz77/MdlT+Y9rn7ay3766afulqeGna/B1S+EyCwk8EKECH3lEdunnnrKRo0a5cl0+YGSuzPPPNNL2ojTAxsGYvkMhCGJjmEwuPOJsR911FHu1hdCZB4SeCFCgkS6YcOG2V133eXim19xj0P5HD3haSFLLB2vABn6lL+RQFe/fn079NBDvUmNMuOFyFwk8EKEALfV5MmTffJajx49PC6eSBDvyy+/3MfJfvfddz7ZjeQ5hsLsvPPOEnYhhAReiDCg3O2NN97wtq9ksycaBJws+5o1a/pMdjrm7b333p4pL4QQoG2+EAkG1zwJbh999FEo4g78DEruyMQ/99xzPeYucRdCbIwEXogEgzt+woQJPmAmTPg5JNQxfU4jXIUQmyKBFyLB0LhmzJgxLr5hgxU/YMAAj/kLIcTGSOCFSDAIPAl2iU6s2xzU2P/888/ex14IITZGAi9EgiEunpPRsIkAy506+Lw2zxFCRBcJvBAJBMFF3H///ffYkXBhM4EVz0MIITZGAi+EEEJEEAm8EAmGYS60lE0GZM/T2Y6HEEJsjAReiASC4JYsWdKntiUDGt7Qa55BNEIIsTESeCESDA1ndtlll9hH4cLPojVtsWLFYkeEEGIDEnghEgzueSa9lS1bNnYkPBD3evXqaca7EOI/SOCFSDBY00xz22OPPWJHwqFIkSLeovawww6LHRFCiH+QwAuRYOLC27Bhw9iRcMB6v+SSSxR/F0JsFgm8ECHAOFfGt1auXDl2JLEQe2eK3HHHHac+9EKIzSKBFyIEiInXqVPH7rzzTtt9991jRxMDgl6tWjW79NJLkxLnF0KkJxJ4IUKC8rVTTz3VWrZsaeXKlYsdzT+Uxt13331Wt25dWe9CiC0igRciRHbddVe7+uqrrVmzZl4fnx9B5mtLlChhQ4YMsaZNm3qsXwghtkRWtuZMChE6zGx/8cUX7Y033vA+9Ux/y+mtF29mU7NmTWvfvr3Vr18/9ooQQmwZCbwQSWLp0qU2cuRIe+utt2z48OE2ffp0P7YlsNCJsVetWtXOPfdcT6ojO18170KInCCBFyKJcLutXLnSZ7i/++67LvSIPBY9D9zwZMhjsVesWNFOOukkz8YnUU/95oUQuUECL0QBwa23cOFC++OPP2zu3Lnuxsc633HHHb1JTqVKlTxuL4QQeUECL4QQQkQQZdELIYQQEUQCL4QQQkQQCbwQQggRQSTwQgghRASRwAshhBARRAIvhBBCRBAJvBBCCBFBJPBCCCFEBJHACyGEEBFEAi+EEEJEEAm8EEIIEUEk8EIIIUQEkcALIYQQEUQCL4QQQkQQCbwQQggRQSTwQgghRASRwAshhBARRAIvhBBCRBAJvBBCCBFBJPBCCCFEBJHACyGEEBFEAi+EEEJEEAm8EEIIEUEk8EIIIUQEkcALIYQQEUQCL4QQQkQQCbwQQggRQSTwQgghRASRwAshhBARRAIvhBBCRBAJvBBCCBFBJPBCCCFEBJHACyGEEBFEAi+EEEJEEAm8EEIIEUEk8EIIIUQEkcALIYQQEUQCL4QQQkQQCbwQQggRQSTwQgghRASRwAshhBARRAIvhBBCRBAJvBBCCBFBJPBCCCFEBJHACyGEEBFEAi+EEEJEEAm8EEIIEUEk8EIIIUQEkcALIYQQEUQCL4QQQkQQCbwQQggRQSTwQgghRASRwAshhBARRAIvhBBCRBAJvBBCCBFBJPBCCCFEBJHACyGEEBFEAi+EEEJEEAm8EEIIEUEk8EIIIUQEkcALIYQQEUQCn4ksnWrDxy6MfSCEECKKZGUHxJ6LDGFMh1pW67a69smC56xx2djBrbBwxKv26lcbNgQzxve1SlcOsDZH+YfbJD9fu1VWzrSB3bvamLl8MMPG969kl/dtY3WK+KtbZ+4Y69Z9oM1YGTxfMtWGzaxrHV9qYZU3vBpdli60lSXKWomcvEchM3NEN+v6Vk/r2b+XzazQwCqXMVuxZIUd2Lyd3XVFY6vs1+VU63ZOK1vx0AC7fF//spRn4ffB39V/hnFpLZg6zGYe09FeOT+JV9bahcG90NNe7dHNhn01zhbucaBVCs73jBklrPHND1i7S2vahls+eG8vamf2UFdrsbsfEBFEFnzGMcYGdhsT/Pu89Y0J7zYpW9lq7rvSBj5xiz3+eiCMS1i+ckh+vham9bJWVbMsK2sfe3BU7FiMcnvXtMprB1rH2x63V4NFdcXa2AvbpIRVrF7Nyv7Z0265/3nr9duK2PEoE5yD9uWs8omt7PHufW3glwO3+hjvG6cQ+K2X3dKgklVq9qrNqH2dvTo826YMH2AD+g2wYcOHWccTFtrjzRvagyMW2tSXW1vLHrGvSxdKVLRq1cva1F632IOdetnUpbHjoRMIe/db7NRq5ezUZ8dbtStfsb4/zbBxAze8t+N+Cq71ij2tcePHbcxCxL2utQw2tjUl7tEGC15kEGM6ZtcMTjun3q7omb0gdjgnDGu/4eva9FsRO5Jz8vq1M95rseF3DR4NXpoSO7oxw7If8NfbZA/I7a/1Z9fs5nztCa9kb+47R4sp2V2bbXgft/moeF12zzmxL0sgC/rdlV2H73/UXdk9p27lZC0JzulR8d+nQfYrk2LH04gpbzX333/z12yCWTA6u2OTisHPq5N9XbdxW72nF/S+Lrti7DxXbD8sdlREFVnwGcbwPh2t3AkNNnzwcmDJhWWpJYiKTR6wnrc2t+bXPGcPNIu8Ez1EZtq4DypbnROa23V3d7SOj23u0caaH1DH7nrrAWteIfZlCWLliAet8YkP2vCKLeyV19tZ871LxF7ZDKWD36F7Vws2X2lLyWSFQX7ra61PqWW3fHugPfBVX3vu/GoxF/zmKdukjT1wwobnZx4ebPVFtIkJvcgIAsto3+uyP/nqlexA4n0Xf3mvnNvwBWHBbxtZ8DliavC3bsNjM6Vbi+wGdw7IlVcnR6wIzlGNDee/8TPjsnN6mkY/VjP4mvS04Gd0S4IF/7eno2J2m745P2ujn+B9bZ7d9c/YARFZZMFnECu//MRePaGx1T26gbU4ZcOxV7v3DWw7EXmmjbOFteMJVpvht27W7uXACmzbYKsWYF6Y2v0Ba/c9z5pbyybVbCu2+7+oeUJLk425JaZat2ubW7sRgbzf+qq1OyXnZ61SxcpmJzRQ/D0DkMBnDCttWP9u1viUusECXtkanN14w+EePW3gtA1PRZqwdKEtXJjLZMXDb7GeF24pxDHVXr22p9V9oY3VKR07lDDGWK9n+m54ekpjq7P3hqc5okZdi12lCWSlrcxxMmbqMrP7LdayC1vz5vb4tY1zvSmreFQtqxZ7LqKLBD5TWDnMBvZobI3rbFgKKh/TPLZ49rKeX071Z7lh4dhe9uANLa1123bW+pyG1vCyB61XDmvrc/q1C0c8v+H1E4NHnX2s4cu5/z2dheOtV4fW1rJp8DPvuSX4nq2sXffxtnALC/3UPrdYK37m5n7uwuH2/LVnbngteBxY6RYbuJHW/utrD65kt/QPXlw70wYGP//MG9pZu2tPtYYNzrRbgp+/ZYleaOM/eNBaNT/TWl8bfF3wvVp1GGgzpw23xy9rZQ/26WvPX1TSKj1MNUQOKVHWym7WdF5pYx5uZQObPWCXH7B523rh16/a4x1eteF5ydeYPNr6uvUeiEqNylZpw9McUs1Ofa25Vf7Xr7XQhj/Z6j/v/8KvHw/Oa+vgPatrp3YYvsl7u3LD+9mitbUL/o5XO91iZx58oLXkPd3MNTC1x4b3fONz6NfslWfamc05dqDVPecW65bTXhKc/2eD6+7mnJ7/bbByoD13cy9/WvHW66x5bjZNASUqN7bHm8s3khHEXPUi4qzo1ya74q0DNop/zsjuevaGuKg165qjGHQ8jt7glObZlz8zLHvGmtgLASvGv5LdoqJlV95CDDdPX7tiQfaCGaOzX7mQDOEtxTO3HoMnc7tBxf9mFy/46ZXsy6tX3pBRvGkMfsmGn/tc7P35989dkb1gwYLsKX1jGeGb/txNvrbNewOyO17TMXvAjNjrAfFM5savbe7vmZLdlb/3qLuyB/ydyR47Zi1icdMZ2T2vaZDd/LFhOY5nb5ExHbPrnNIxe/SS2MebMqNndgv/O4PHKbnPVeC6868NHomKR68I3v8ZYzZcM7z/Pfs+kH3dS8H5nfNJ9nWxn3XXwNgnB4x+onF2iyeG/fvaisev9w3e503/dj+Hw7I7nhL7vZs1z27x0IDsGRu92VN6Xefnv/L1n2z2ev87Bv/YK7k8/9tmQa/L/XsTe7/rq9hBITaDBD4jWJE94NaK/0lwiy9CnnAzNXZwK8RFuuatm1/UfBPBovbCuNiRf8jP1249YWnLAr9i+AO+CNdpv3khjP/MLSXZbb3Uaesbi/jvXLFii+xXJm3yCQtiQnRAIKyxQ3GmvNbYv67xpj8z+Fv8d71m8+9f3tiwyWv+1taEZnR2x1jJWp08JOD9c41t6X3MKxttUM8Ozp+/xRs2Pg3OfmCjzdHo7Ad8I2DZLd7bSGUD4kJZ8aFNz8IG4tfslv7u0U/U2fD1myk32/jeys353zYLsj+5ZsPvZRZsTjbaKAuxKXLRZwIrh1nf/pfbmXX+7YKteEJLu9yf9bJX++fc/d3ghM0nYpU44UxrHajQwGtb26uTYwc3IT9fmzvG2PPXtLPh1tguP7/OZhO7SlSrZXVjzzdHIkqdZjY5087cd5OfXrbcBlf1LzNswb/8tDNtzJcb4tXV9t7Emb175Q2/a6dhNjpBMeSVXz5nbXo0tzOP31r5YU1r89UKW7BggQ18KPEJeImgebNTY278itb8hQE24L27rMHfZX4lrKy7sIOLaxPK1mzgpXgzvxptW7v66x5P3sp/qXnhLX7/zLyn3Zav2Sta5uL854TxNqZT7OmltaxWgsvxFv4y0Lo9+7g93uF56/bpGJuZ5ziCSAUk8BnAwv69bGCTU63mpglUFRpY40s3PB3YY+BWF7mcUc1qNuPfYJHIdVw/P1+7GUb0tY7EfivWtMoFmC3cYGuZ65th5TYX1OATEiLwC61vlwdtZk6yqYsEIlm2bI6z3zemYuVasWdmM5ZuLWa90maO2nxXvQ2P8cFvvDkaWN1qW3uHq9l1vkGZal3P3kTk4+KY1/ezQk1rsI1rNrfnf5tMm2qjY08r/n975xfaxpHH8W/hHlRIQYY8yJCHLPghMilUpgVLXB68wQ+nkEAVchCZFFylgUTOQSol0LObB1fJQWqlkJNy0FgpBOSDK9ZBjWSI8L4kSIEEKXBFKsREgQtIDwYJEvDCFeZm/8inv7ZkS4289/vAWuOVRpqdmd3f/GZ+8/sJw9t/90a+RT1Wj4b6fJtH5PMTmEu/D/s5DzxnxrC56sWwcBz+lR7cj8Q7gQS84akgtboM+fEcTlQNh7aO0wjnde0tuQRpz5qzGUO64im9KHRpRLSXvM2UChlt+9+HQoOR1iBjgf0Pmulj9lVRfd1io6gOwCwXRYz14nrWlxH5gb9+ZO2vD/4jNnj1ZD5faCOka+GC/mcuML+ZwnGR91F+BH9U8sltBz/mAztUiDpA4X3ieQyR6zOY+uNpzFzjWurd+B4Htbxv6bZqveiz3eI43DwrUYusV5hcyiPxXbU+pxBMlpTarNtNkL3nQeJYCKFpOwReWebDdnjuRLFokxA8xfPohpLE/oIEvNHZkBBLzyCS0HxSNx2rIf0BLCG8mldTxLtDmA5xTZO3xvUwpC0/5gUs3V5AdnwW0fnut0S1ovQ0AWUxQBwe0k70C7MDoj5LhHsZtO9hJlg+FiFOOOG+HEDoqyn9vAjXlx64Jmyw7HJgI/+yBL8oYPiiBDjnEPnHMkK3fPBdOrH/AgwdEjre3mY6ZOP1KcJ51gvvyVHt5Ed+BG664VTqc2t6PwvpQRqxz6cQ/lk/pSJAPKssYqSxsNrFjg1iYCABb3AqjxLIuETY2j0czfwBelVLZh9I2zyAO0HG5hstZfvgfS3RMXvJ24zpgD4dsKnoKvsIuYCcaQHLt4ewdOo4pq4p2+78SH0SRm4lULO2vBcqyDzStlnhwO6m3jvHDOeFgO6w5gbij9XEjpg+6NHA49USPBNcAy1PIb4Sgmfc0sPrraCsT7T0os92hoBRPgBUyJc63KbHy5nP8sENx3LS0cJ5kBUOtwvi5BiGG0aPVTuU0q/76i4idEjAG5oKpJUCpk7atnmomeCY9GnJZxFIdSP4bimioE7l2VQNobsH6V7yNmO2i5oB4eNsfyKjVcq8xH1AWYe2O+E6O4tFaQ3RWwtYfMg1zssuWHvmH77GUOs3wDTuQ3jerqZvzIc7GkTKb8p6ai/IkL73YakEiJ9NNQ+OGtfen9zozteCnIGk1mNv+mxnWLhGrpnG5pPbGwdusVVO4IStlf5vgv3qMtYehuCqs8eQkcsqA0ELvB+TW5z9CAl4I6Oss752QmzjwKSK6ZgTs+pyXhbh5M5TcYVSG9G2LiGW5I8Dxbr4961/cy95u+KgE96bilDhg5Z0a01HzmeQ0tOt2JoFaIGcTWFZT/cSeVNG+n4C2R5ZyrekxlDLfGAnzVNG9q+KY5nTCD7ZrRbHBciVCBbP8U6WnIH/bzuL+OKrXkwJV1Ba1xwxW480u8iVX2Sgz2NsS7s+W1ldQpC/9qzPdoj5Uz74U1xNJ88juLpzmxR+DKvlVLzeibYuFnjWowh+q1xfEL4uXOESgwMJeKOykUVkfg6JZAKpnYznTMMY/lBL5r+MILFdDGuLG0NJf/O2oLdp3Dh3HpmTAcRuu1uvbe4y76Zufb3ZappQ3oSm6zW6IDXB9lUUUS5UwhcCSDTK+A0Jgb9EtfS/K1wUNFOdBZCyjRbHaQT/mde32BVQauHMv1zRcrS0HN8qM//dhrpWB1uv/RizOhoMIs/D34etS8LBHR7cr2MI/IkPkpIx+K9Hd2+UdsAKz10Ji9MCEpdG4fhzoqUXORXFL/7frfApA4K2bOoaeBF6VbfAAqtdmzkIr0r1SzVKG66YMKsKSt6G/KVSLMJqaV4aSF1r0Wd5Gb2XImq0w1Z9drft3xkCr8s4vOP8upx84PWsbQWgkpzD+R9McPHPKq5/rZ16vdPvyfz0IqS7be5nYvDR98MTRqEYZ96jmue32sNyppW3ugwLTdoZv3kbPm9h1gmReZbqcyiOP1zfv2Sbb3IsesXJPHfibE1aY/GlAHMdtTL3rTh72cYTym7yZu6ITJywag5e9EMYF9lCmr/Jr9M3KTL7SE25LVYmTi6wVJ3zjzJL3XIz64jIfPf137zvY56riyzzVI8mV837RXMdlR8GmHPEwsSvo2retViIeacDbLkQ1x3dKIdSXx7VWVC7Mou3Uq3LDIHZJ7W8Kv8psrV5J7Mc5Xn4Z7eOuu8U2KzUynVPh1Sj6PFj5+h+RRa/IjILrx/PA95++tm9UJQWmFvpo/w73fNRFk/nWLFcZLl0nEXnXcx+ZoHFlXjxb5Q4586GaHJaecS6Pq7111btt9X+iqfE6RCLV9vwsuZdTnGGJPL3LEftPP8iy9V4tas6uvH9lGPLV9x1/Ucc6a7Pdtz+3VDm99JVp3r/CmcCLJpIsVyxzIr5lHaNJ0VeRs0Dn3qdX3cY/13x8jchMOftTNeOjYjB4j3lD+9oBNE9StATXQszKcZa3Tjd2EveXSHXBGhRtk0pU6o1535nhrltoJXavDy3vidc5lqadrb6fXtE0ZomXci5YwhetNdYOf+PynOu3V6cQviJF/FyCM5dzZwqvtkjSFQEuM44IfQ8wExnyK+ySGUzyK5rGqh5xIZR6xjsR/oxHdyq/XV+5e9xTbqxDdPfvAfHdYAPgrAwyd/7zftsh7wtIPs0i8wzfRviQQE2mw1jR4Q28Qe2Qe2DPmzOJxCY1NtB2U+/MQyxL+1C9BMS8AQxIGS/G8PYAydSjwLbR3V7HsSYzQ+xKniIvtAk4I2OItxPhWC5G6kLPFRZmcHpkg9rX9BE/X6D1uAJYkCQ32b5nyGuHeon2sG1xyFYBkeDJPY/FUVzd0AaGeUCPYzgt4q7WuWYg/9mGLZG18nEvoA0eIIYFH6J4MTEeWD+JeJttaUClj5zwPd6BrGfZvsQv52oUtXgPbEyFj818vR0HmH7KGae6P82IWLxxRo8I/q/xL6BBDxBDBKvErhxbQYReBGan4LjkEW1DZArJRTSy2oQkPJEAAFlXzwtifaFwkoQsad5JO5FICnm9SMu+C44YD3mgWecKp3YP5CAJ4gBRN7II/uvPHK1hlOHBQif2N6ZUdz/DTXGdHVsa4hJEIMHCXiCIAiCMCBkZEcQBEEQBoQEPEEQBEEYEBLwBEEQBGFASMATBEEQhAEhAU8QBEEQBoQEPEEQBEEYEBLwBEEQBGFASMATBEEQhAEhAU8QBEEQBoQEPEEQBEEYEBLwBEEQBGFASMATBEEQhAEhAU8QBEEQhgP4L9VFhoUDkHxAAAAAAElFTkSuQmCC"
    }
   },
   "cell_type": "markdown",
   "id": "442bc4da-a883-4e41-9ee0-e12aa01c82d7",
   "metadata": {},
   "source": [
    "<div>\n",
    "<img src=\"attachment:254b41a0-6931-4794-be73-22dbfc833dbb.png\" width=\"250\"/>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dfd56be1-2cd5-401b-9c3d-346f9182c56e",
   "metadata": {},
   "source": [
    "Denn in dieser Verteilung gibt es Schüler/-innen, die mit keinem Streitschlichter befreundet sind."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c746b238-7d00-42da-ad71-94702df9c4c0",
   "metadata": {},
   "source": [
    "Auch hier gibt es wieder ein bereits bekanntes Konzept aus der Graphentheorie, das unserem Vorgehen ähnelt."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0f6cace1-eff7-4c5b-b560-c5c071068ff1",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "Eine <b>Knotenüberdeckung</b> von $G=(V,E)$ ist eine Teilmenge von Knoten $S\\subseteq V$, sodass jede Kante $e\\in E$ zu mindestens einem Knoten $v\\in V$ inzident ist. <br>\n",
    "Die <b>Knotenüberdeckungszahl</b> von $G$ ist definiert als $\\tau (G) := \\max\\{ |S| \\mid S\\subseteq V \\text{ ist Knotenüberdeckung von G}\\}$.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d4ab51cc-2059-4f40-b267-443788d8bba5",
   "metadata": {},
   "source": [
    "Die Menge der Streitschlicher muss also eine Knotenüberdeckung von $G_2$ sein."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "704f0670-51ea-4127-93a0-fa4407eaa1ff",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "    \n",
    "### Aufgabe\n",
    "***\n",
    "Zeigen Sie die folgende Aussage:\n",
    "    <center> Für ungerichtete Graphen $G=(V,E)$ gilt i.A. $\\nu (G) \\leq \\tau (G)$ . </center>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b4278a83-fff3-4013-b369-ea8ddf935d15",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5eee44dc-4c79-4e67-b30f-f41a16c35fa7",
   "metadata": {},
   "source": [
    "Das Konzept von Knotenüberdeckungen lässt sich auch umdrehen."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "64ff38c1-c206-4e66-ad77-221c083381fd",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "Eine <b>Kantenüberdeckung</b> von $G=(V,E)$ ist eine Teilmenge von Kanten $F\\subseteq E$, sodass jeder Knoten $v\\in V$ zu mindestens einer Ecke $f\\in F$ inzident ist. <br>\n",
    "Die <b>Kantenüberdeckungszahl</b> von $G$ ist definiert als $\\rho (G) := \\max\\{ |F| \\mid F\\subseteq E \\text{ ist Kantenüberdeckung von G}\\}$.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f42eb1c3-3591-4d6a-9c53-4970f0e91ddd",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "    \n",
    "### Aufgabe\n",
    "***\n",
    "Denken Sie sich ein Anwendungsbeispiel für Kantenüberdeckungen aus. Finden Sie für die Graphen $G_1$ und $G_2$ jeweils eine Teilmenge $F_1\\subseteq E_1$ bzw. $F_2\\subseteq E_2$, die eine Kantenüberdeckung ist.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "77a24fd1-f21d-453c-82cc-ee200d7e6cd7",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "45f44ec1-dd40-4e65-b3e2-867c28f78350",
   "metadata": {},
   "source": [
    "Die Matching-, Knotenüberdeckung- und Kantenüberdeckungszahl stehen in einem bestimmten Zusammenhang zueinander. Bevor wir die Formel angeben können, muss noch ein viertes und letztes Konzept eingeführt werden, welches auch als Gegenstück zu Matchings bekannt ist: <b>Stabile Mengen</b>."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "11b4014a-352b-4c54-a37c-3b1d5e7fa85d",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "Eine <b>stabile Menge</b> von $G=(V,E)$ ist eine Teilmenge paarweise nicht-adjazenten Knoten $S\\subseteq V$, sodass für jede Kante $\\{v,w\\}\\in E$ gilt: $|\\{v,w\\}\\cap S| \\leq 1$. <br>\n",
    "Die <b>Stabilitätszahl</b> von $G$ ist definiert als $\\alpha (G) := \\max\\{ |S| \\mid S\\subseteq V \\text{ ist stabile Menge von G}\\}$.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b8d83bc1-c35e-478e-b3b4-df125c803f93",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "    \n",
    "### Aufgabe\n",
    "***\n",
    "Denken Sie sich ein Anwendungsbeispiel für stabile Mengen aus. Finden Sie für die Graphen $G_1$ und $G_2$ jeweils eine Teilmenge $G_1\\subseteq V$ bzw. $G_2\\subseteq V$, die eine Kantenüberdeckung ist.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8de4583f-aabb-4086-b21e-d80fe48dbad6",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6f2d8f4e-0bc4-4f13-9e62-ee8ef99f16f4",
   "metadata": {},
   "source": [
    "Nun können wir, wie bereits angekündigt, angeben, in welcher Abhängigkeit genau sich die Konstanten Matching-, Stabilitäts-, Knotenüberdeckung- und Kantenüberdeckungszahl befinden."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a55380aa-971d-4a31-a658-0bbd017dade6",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "<b>Satz von Gallai</b> <br>\n",
    "Sei $G=(V,E)$ ein ungerichteter Graph ohne isolierte Knoten (d.h. jeder Knoten ist zu mindestens einer Kante inzident). Dann gilt\n",
    "    $$\\alpha(G)+\\tau(G) = |V| = \\nu(G) + \\rho(G) \\ .$$\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "38f00d4b-27fe-4b56-9af6-2b5252e05b5e",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "    \n",
    "### Aufgabe\n",
    "***\n",
    "Zeigen Sie den Satz von Gallai.\n",
    "    \n",
    "<i>Hinweis: </i> Zeigen Sie zuerst die folgende Aussage:\n",
    "\n",
    "<div class=\"alert alert-block alert-info\">\n",
    "<b>Hilfslemma</b>  <br>\n",
    "Sei $G=(V,E)$ ein ungerichteter Graph und $X\\subseteq V$. Dann gilt: \n",
    "    <center>$X$ ist eine Knotenüberdeckung von $G$  $\\ \\Longleftrightarrow \\ $ $V\\setminus X$ ist eine stabile Menge .</center> \n",
    "</div>\n",
    "    \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8128096c-9679-4dd3-802e-39fd061fca5e",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8e38caba-38f4-4a9f-8749-fc78188ff7fa",
   "metadata": {},
   "source": [
    "Es wäre nützlich, einen Algorithmus zu kennen, mit dem man in einem gegebenen ungerichteten Graphen ein maximales Matching bestimmen kann. <br>\n",
    "Der Satz von Gallai ist zwar eine schöne mathematische Spielerei und für viele andere graphentheoretische Beweise nützlich, aber hier wollen wir einen sehr bekannten Algorithmus betrachten, der auf einem anderen Kriterium für maximale Matchings beruht. <br>\n",
    "\n",
    "Dafür benötigen wir <b>alternierende/augmentierende Pfade</b>.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7163e973-00e0-44ef-9c1b-557489926174",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "Sei $G=(V,E)$ ein ungerichteter Graph und $M$ ein Matching von $G$. Ein <b>$M$-alternierender Pfad</b> von $G$ ist ein elementarer Pfad $w=\\{\\{v_1,v_2\\}, \\dots , \\{v_{k-1}, v_k\\}\\}$ für $k\\in\\mathbb{N}$, sodass $\\{v_1,\\dots,v_k\\}\\setminus M$ ein Matching ist. <br>\n",
    "Ein $M$-alternierender Pfad heißt <b>$M$-augmentierend</b> genau dann, wenn sowohl Start- als auch Endknoten exponiert sind. \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9c8f4f49-5fe0-4f4b-ab0b-b616506cb044",
   "metadata": {},
   "source": [
    "<u>Zur Erinnerung:</u> Ein elementarer Pfad ist ein Pfad, der jeden Knoten maximal einmal besucht."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5d7e103f-5356-438a-976b-51abec62db4c",
   "metadata": {},
   "source": [
    "Es ist manchmal leichter, sich $M$-alternierende Pfade als genau die Pfade vorzustellen, die immer abwechselnd Matching-Kanten $e\\in M$ und nicht-Matching Kanten $e\\notin M$ enthalten."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "82530a83-3c8f-4f5e-8138-e657b944df44",
   "metadata": {},
   "source": [
    "Warum sind $M$-augmentierende Pfade so nützlich für die Bestimmung von maximalen Matchings? <br>\n",
    "Für die Beantwortung dieser Frage betrachten wir wieder ein Beispiel."
   ]
  },
  {
   "attachments": {
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vvaY7aE2ZMgUVKlSQm0+4CkM8Y7ZtQ8q4cbrlY3KbNvB95x0UrFgxy+OEtxab8rOBz19//YVDhw7h8OHDOnigRIkSqFmzpu7ZTMPD09NTxqHgMCwl/OfOndNZuQcOHNBRPHfffbd5RhCuJzUlBXvYWnPqVJxITEQRNV78QkLglYnNX95STAJkZVfmhrDuEwMJbkbr1q31HlPjxo1RuHBh2WsS7I5lhJ919ZmN+8MPP+i2iQ8++KBYWMJtufT777ioJoBiq1bh4sMPIx/dPzVqII+y0DPi8uXLuncDQ4R37NihLf7MwFVAo0aN0L17dx1SLJVgBbtC4Xd3UlNTjfHjxxt16tQxfvzxR/29IGQaNV4iv//eiCxVykjKn984MmOGkZKSYp78f5ToG0q4DWVQ0JjK1kNNAMaIESOM2NhY87cKgu3xfJflJ90YJmixkcrcuXPRq1cvhIaGiqUvZA01XnwrVkRSy5aIS05GXrViTNi2DXFFi8L7zju19X/s2DEdMPDFF1/c0q1zO/izP//8s1451KtXDwW4sSwINsbtXT2ff/65Lq388ssva+HPL235hBzAGP/orVuR8r//IX90NM48/zwKvfoq3hw+HJ999lmORP9a6PoZOHAg3nrrLRF/wea4rfCnW07Mym3evLne1JUbSLAJ6pZJuXIFUSNHovCCBRjh4YEZp0/jSib9+ZmlYMGCOtyYCYbi8xdsiduGD+zcuVMvvVllk9a+iL5gM/LkgacS5YBhw7BPif8KJfhxNhZ9QnfP/PnzceLECfOIINgGtxN+LmDob33vvfdQv359vPPOOzpmWhBsTaqnJ2Zu3oxj58/rnVl7wGTDr776So9rQbAVbif8R44c0b1yfX198eqrr4roC3aDCVlcWdrKr58RFy9exMaNG3H69GnziCDkHLcSft4krLtz9OhR9OvXD9WqVZMIHsFu7N69W/dntie09Dm5/P777+YRQcg5biP8tIjGjBmDyMhI3T6xTp06IvqCXaHo29PaT4c+/oMHDyIlJcU8Igg5wy2En7H6H3/8sc6WZB2e4OBgXftEEOwJBZnlve0NX4MlIBKlXLRgI1xe+JkS/+mnn2LZsmV4//330axZM6l1IjgEFvxz1KZrdHS0CL9gM1xaIbn0Xb58uS6ExZBN1jiRBC3BUTjC2k/Hka8luD8uLfysfjhx4kS0bNkSbdu2lVh9waE4crzly5dPVrKCzXDJkcTl9U8//YSxY8fqKpv067OpiiA4kvLlyztMjBmWLKtZwVa4pPDv3bsXo0ePRpkyZXSsPhtZSASP4GiqVKnikCACLy8vFC9eXMo2CDbD5YT/1KlTGDVqlF5ms4BVuXLlzDOC4Fgo/I5IEGTZEQlPFmyJSwk/O2ixYuG///6LcePGoXr16uL3FHINtk2sWrWq+Z194Iqidu3a0i1OsCkOq87Jlzl79iz+/PNPXUuH4WmMTWa0AqsQ0nKi9c4Bfuedd/5nWcsOWiNHjsSPP/6o/2/KJthqCSwIuQXHNOvv9+nTR49le1C5cmXMnj1bj3dBsBUOEX7eFJMmTcL27dt10+l0wb/2pbmMZb/RSpUqISgoSN9MLLlAi57ZkRT71atXazdPkyZNdJSDIOQ2bNrfqVMnrFy5MtNtFrPCK6+8guHDh8PPz888Igg5x67Cf+XKFXz77bf46KOPdP9Rfp8ZKOqcAJ599lk89dRT2LBhA+bMmaOjd5577jmJbhCcil9++QU9e/bU9XRsdTtxNfvQQw/pcOWaNWuKf1+wKXYTfmY10sqfN28eYmJispyAwoHOLkTc1KLF365dO3Tt2hX+/v7mMwTBOaClz9LJtM4ZfGALihcqhKFvvomeAwfCS6J5BBtjl51RNpAYMWIEpk+fftWtk1U4H3EZvXnzZn0zMbKhkLoZBMHZ4H7Uk08+iQ8++ABly5bNUcABf1ftoCDUKF8eyxcswJbvvkOKAwrBCdbC5sIfGxurm6Cwfg6FO6dw0vjnn38wefJkHDhwwDwqCM4F3ZMJCQk6qevxxx+Hj4+PeSbzcI+rc+fO+GjWLHwwZ47+XWOGDsWmNWtoCZnPEgQbQFePLVm0aJFRoEABjlKbPpQlZAwYMMCIj483X0kQnANlnBi//PKLUbduXWPo0KHGsWPHjNmzZxs1atTQ94Knp2eGY5oPLy8vw9fX12jatKmxePFi4/Tp0+ZvNYx/9u0zOj/yiNG0alVj0+rVhrL8zTOCkDNs6uOni+eJJ57Q5RRs+GuvUqFCBSxcuBANGzaU+H3BaWB5ZvZ35phkGZHAwEBdKpz5JswyZ3AC6+lzRcAVMZ/HDnFcFTByrVGjRjofgJnoN4Yx7/3tN7w/eLDeM3tTraSbtG7NDTDzrCBkD5sKv7JY0KVLF7s1p+CG74svvqhvLmmpKDgDdEWy6xvbI06dOhXKyr/OKOHtxecwoo3Czy5xTMrifhWj0/jg9zeL2uHPH1OTx7DXXsMJNZGMmjAB9R9/XMRfyBE2E35GNjDDkHH6NpxL/gPjmdetWycp7EKuwzG/ZMkSLfi0+Bl6fKPFbiv2RURg7Ntv69XF2yNHokmrVsgjq14hm9hs5HDjla3o7Cn6hBYTs3+lDZ2Q2zBuf/z48boseIsWLewm+qTKfffhrTFjULZMGbyvVhjbvv+eywHzrCBkDZsJPxO0HCHGnFjoM7VHlqQgZBaGKU+ZMkXX62F+CSNy7AndR3fVqoUhEyYgoHRpDO7XDz+tXCmhnkK2sJnwcxMrO/H62YHF2hzR5FoQMoJBDCwSyM1blgXnpqyj3I6V7rkHg0aM0HWtxr37ro7zF8tfyCo2E36Ksb3dPOnQ2udGmSA4Gho3q1at0o39u3fvjlrKCndkhBn9+tXvvx8jpk5FsRIl8N6bb2JTWJhY/kKWsNmIdZToE958jlpdCMK1cH9p1qxZeOmll+zu178panVRvmpVbfmXKVtWkryELGMz4Xd0/1Ep1CY4Gq5q33nnHRQrVgy9evXK3bpRSvxr1K2L4ZMno2iRInjvjTf0hq8hBpGQCWwm/I5sisIYaCnLLDgS+vVZi4d+/X79+mnxz3WU+FeoVg1vjhmje1i8++ab+GnVKrH8hdtiM6VmETVH9B/lJhrr9TvitQQhne+VNf31119j8ODBeqw7TQ6Jeh/V1PsZ/P77KFWiBMYMGYJta9eK+Au3xGbCz4zFokWLmt/ZD/pU69WrJ923BIfAvSvG67Mufps2bXQBNmdbbXKlXaVmTbw1bhwCypTBkP79teWfKrkuwk3wfFdhfp0jKMiM42eMvT03eosXL65roQQEBOgsXkdGVAjWgzVy3njjDV1b5+2339bjzylRln/RkiVRrXp1/L5tG9atWYPKFSuiXKVK+pwgXIvNhJ9UqVJFd9ziJpg94GYai8AxWYyF4HhT0t/Pm5IrACnhINgShg2zpwTHG+tDsR+0M48xhnqWKF0ate6/H9s3bsQ3y5ejYoUKKKsmADGQhGuxqfCz2iCrD7Jgla2zeOnT51Kb/UcffvhhXet/y5YtutcpN9wo/Nxwk01fwRZw/NKIYejmoEGDdLNzl9hXUhOTf4kSuLtq1auWf4Xy5XFn5cpi+QtXsanw0xqqrAYYs3gPHz5s01h7Rg0NHTpUJ8yUKlUKjRs3RoMGDfTNuH79eqxYsUJPABR+Vu7kcVkBCNll165dOmSTdXi6deum24C6Chz3JcuUQe169bA1PByrvvoKd6nVeBll/UthN4HYVPgJXS9169bFnj17cPz48RyLPwcxG6+zlWNISMh1m7r08TPCh/XMmcK+detWXbnz119/1efpAipYsKBMAEKWYCHAIUOG6PHDksv067vcGFLv11+977uqVcPvO3bgO7UyLn/nnSivJgCeE6yNzYWfMLrnvvvu0y0Tc2r50686atQotG3bNkM3Dn2XRYoU0cWyaJ2xbkpERIRu/choDMIblzexINwO+vXZ5pN7SB999BEqVqzouoaDet8laPnffz+2qFVx2Dff4B42fAkMFPG3OHYRfkJ3TP369XWEz5kzZ3DhwoUsRfuULFkSzZs31+6dxx577Lap8bw5OTHQ1fTggw/innvu0bXLw8LC9F5ATEyMtv7TN4IF4Ubo16fLcPTo0Tpe/6GHHnL5fBHeF0XUvVRdGUa///ILvvnyS93Jjj5/WQlbF5t24MoIbvZu27YNc+bM0Rb4oUOHbrrxqwepst7px2fTadZCobWenYgE/lnMtmSPACbebNq0SR8PDQ3VNzRb3skEIFwLxwo7yLG1J+0hd1olctV94I8/8N7rr+N8dDRGT5mC2k2aiOVvUewu/OkwCmf79u3YuXMnjhw5gpMnT15dBdCap4+eVj4zJEeOHIlHH33UZiFoXL5zz2H16tX47rvvdPQRVwVcSXCFwH0JCXezNmfPntVdtGgsLFiwQI8Jd+Tgrl0Y1q8fTh4/jpEffIDgZs3g4eKrGiHrOEz406HlwVUAe5BSkPnyFF26YTgBMJKCjadZ55zHbAkbYHPfgf5bTgLcxGP6PXMDuEfgiMxjwfmgUTJmzBjt5pk7dy4eeOABt3WDsIjbXmV8vffaa7ik7sF3x41DvYcfFsvfYjhc+G8F3wo31HjzLV++XPsi7QX3HVhX/ZtvvsHRo0fRRC17uTnMvsFMFHN1366QOTjm1qxZo639t956S7sYrXDtj+/fj4Hdu+N0VBTGTp+OOk2biuVvIey2uZsd0q0sNrlgSCgjKuzlguFqgpFHzAegu4euICaDMSSUYpC+ESwuIPdm3759GDhwIFq1aoXevXvfNojAXfArVgzV7rkHv23Zgu+UAVS5UiXcoe43sfytgVNZ/IQ+Vm7AMiqHYZyOqvOfmJio4//nz5+vXUHMHXjhhRf0RjAjlGQCcD9YWuT555/X3dw+++wzXf/Javx74ABe69JFr4CnfvIJ7m3QwG3dXML/41QWP2FIZnR0tI4EYsIWk7QcAZf3d9xxh35N+v25H0Cf7+bNm/VGNN8HJyEpCeEeMLJs2rRpurwI4/a5r2RFwSusLP97a9XCb+p++2bZMlSh5S+F3dwep7P4CePvn3vuOZ09ycib3IArAGYeL1myREcCcSO4ffv2ePLJJ3UxOukA5rpwyHNV17VrV91chWHDVl7RccP36N9/Y5D6PM7HxGDqxx/jngceEPF3Y5zO4ieFCxfWpRdoldWpUydX/K5cATDKh/WAWBKCQs9cAOYEcEKg5Z/eCUzcQK4DRZ91eF588UUdzcU6PFZfxen8mRIldG2fX9QKaOnChaharRrKBgaK28dNcUrhJ7SwGW3Bqoi52duUos4kMob4MfKHJSHCw8Px5Zdf6tIQnKT4/ljES24S54ehxKyrz1DiqVOn5m7fXCeD4n9fUBA2K6Pr+7AwBLEgYrlyYvm7IU4r/Iz3Z7Yvu22x8UpuW9V8fYo8q4TSNcAS0MxE5qYgw0EpJFwhcHUioaDOCTdxGSpMg2Lp0qU6aVD4f2i4FAsIQENlbP343XdYtmABairxD7jjDqnq6WY4rfBzI5WZvszupbvFmZbjdPsw6qhZs2Y6JPTvv//GV199hR9++EGLCycAhoPKBOA80G3IcN133nlHx+tzJSkrtIwpxKKHalxv3rAB369ahXtr1EDpO+8Uy9+NcMrN3XTef/99LajcYC1fvrx51Png6mT37t2YMmWKDgll/D8zkFnzhValdAfLfQ4ePKgDBlgHaubMmVKnKROc/ucfdG/XDudOn8ZHaoVUrW5d2c9yE5zW4ie0nFm7h1E0d911l3nU+aCoM9af1US5OqGoLFu2TK8AWJeIhee4EUw3kEwAjofx+rT0+flT9FmrSbg9Bf38dBvHbRs34ls1nrnKLUMDTMawy+PUFj/fGuvws44OG2K4ipXGFQBdVMxAnj17tv6a0SP8WziBSS6A42A+xoQJE7Rvn3597hkJWUDdg6eU5d+1VSvEqHG8cPVqVFQTgIi/a+PUFj+tY964v/zyi7akHZXMlVP4vrlHwbITzEJmRijjxr/44gscOHBATwxczUgoqH3h58ywYLoMGcnDWkyy4soi6vPy9fdHvYYNsUVZ/p/Pn68NsdJs4yifpcvi1BY/oe+cvtlJkybhkUceccnBlr4CYElqihB7A7MA3YABA1CzZk09CchNZFs4rI8dO4YOHTroMFw26Re/fvbh5/nP/v3o1a4dLicmYsHXX6N89ermWcHVcHrhZ/mGvn376to5FEpXr5POsE9a/2wNyYmAm40sEBYcHKxXBlYpEmZvTp06pUt7s84+P+vSpUubZ4Sc8O+hQ+jdsSNOHj2K2V9+iZpqJS6rVtfD6YWf1jKtffrLWaqZFTvdAfYjYBgo/yYmg7EJDQuGPf7441qkxDrNPpxcGWH14Ycfar8+s79lRWUbKBeH/vwTvdq3R7KnJ2aq+/LuoCDzrOAqOP1UTWuCMdeMnadQuguMLGHtf3Yb+/HHH3XoJzNJaf1zkuPfypwAJ5+XnY7k5GRd4I9dtMaOHav3WUT0bQc/y8o1a2L55s0ooO7J55Whsk+tXFnvR3AdnN7iJ9zgpZ//7rvv1o2w3XFpyZUNY803bNiAWbNm6Y1flolgNBBXObbuRuaOcCj/9ddfeqw8/PDDej9FiunZD/bwfaVzZ8SrFda0Tz5BDRZ2E1wClxB+wjr569ev124fxsy7M7wkTFxjwBU3gp999lm89tprKFu2rMSg34KYmBj06dMHf/75p66nxLIagn25rD7z1nXq4EJ0NFbu2IHSgYFcFphnBWfFZUxnNkdnlAajfFxkrso2XE4zDJS9ANiKkoLG5vPsEBUWFqY3vLlCEP4f9s2le4cuMtZPEtF3DAX9/THn669Rsnx5tG/WDH9u3WqeEZwZlxF+RrzQ5cGYfm6MWgFGMLEHwLx587Tg03/90ksv6SJx3BdgBVOZANLq8HCSpBuQEWCMMxccR8UaNfDpqlXwSkpCNzVez0dGmmcEZ8VlhD89IYpRMFFRUeZRa8CSz9WqVdMWLV1AzD6l7/+pp57SkwL7AzCSxYpw9Ucrn24xrpI4UQqOp1iZMlisjJGipUqhWc2a2L1tmwQmODEu4+MnjNZgyCO7JrEzl1XjhynyLAXNVQBrz3BSpOj16NFDJ4NZKRSUbi82S+fnwbBYqa+fu/x78CCeffBBpCpj5cvwcJ3hKzgfLqWcLBLFWjdMgLKqhUuY5MXCdUxQ2rp1q85O/eabb3S8+pgxY7Bnzx4dCeXuFhddfgsXLtRuL4ZuiujnPmUrV8Z3avwxCq2Fsvz3//67WP5OiEsJP33etPT37dunKy4K0JU/mdHMWvMMX+Sq6Omnn9ZlodnPwF1zAfg3McqLSVpvvPGGzoAWnANu+M5esgSF1djs9swzOLx7t3lGcBZczlfCCpeXL1/W0T1CGowCYrYv49dXrVqlE8FYDpq1jRgKygmAUS/uMgHw7/jnn390aG/jxo31hrdkOjsXFapXR/j+/cijVuZPNWyIk4cOieXvRLic8DOWnaF6O3bs0O4M4Xo4CYSEhGj/P6uBMhqqc+fOem+ENWsYCeTqN+CZM2cwePBgnZw1atQo86jgbHiq6/OJWokWK1cOT6uV+t5ffzXPCLmNywk/hY1ZmVu2bEGkhI3dFG74sgzxjBkz9J4IO4ExD6AGQ+/UBJCYmGg+07VgSOvHH3+Mn3/+WfdocPdkPlcn8J57sEqtOFMvXUInJf4X1KQt5D4uJ/yEm7z08+/du1fi2G8DI5/oBpo4caJuC8lwR0ZFsf4RC5ntV8txxsG7AnyfGzdu1IXXaPGzoqng/Hj7+mKJum4l7rgDj9eurUM9hdzFpcI50zl//rwOXWTtHjbOljo2mYcT5enTp7F27Vot/Pws2TKyf//+qFy5svks54PDlE1sGLbK98tkLSlh7VpEHTuGpxs0QEq+fPh282Yd+y/kDi5p8TNWnaGLmzZt0sIlZB6uANL9/qxnM2jQIJ0AxWxgRscwPJQbwfaGLhuGY7JePhPyWJaCezY3W33Qr89QVV57RiyJ6LseAeXL40s1vgr7++PRGjWwZ/t22fDNJVzS4ieMVaeVylh21rAXsgdXAJw86Qb6/PPP9d4JSx506dJFf662rG7J1+K+zHfffafDTyn8fDAng3sSfNxxxx06I5lunPSmO5wQ2DOXWcp8BAUF6b0ewQVRcnP4r7/wgjI0vHx9MXfpUl3yQXAwFH5XRImIoZb9xpAhQwxlPZpHhezCz1MJrLFt2zZDWf+GEmCjefPmxvfff2+cO3fOUJa4+cysk5CQYKiJ2ujRo4fh6+tr5MuXj8ZGhg+1IjG8vb2Nu+66y5g1a5bx77//GmqiMCpVqmQsWLBAv0/B9bmoxpSy+o36pUoZ+3//3UjNwfgSso7LWvxkzpw5OomHiUvl1TJSyDm0ypn09ccff+Dbb7+FEn4UL15cu4LatGmT5c+Z+wmsMPrJJ5/o2PvMbiTToudqgxv53MOpWrWqvs6Snes+sIFL386dkerhgQ/USu6eevXMM4Ld0fLvovz6669GlSpVjJUrV4olaAcSExO1xT106FCjdOnS2uqeMmWKcfbs2UytAE6ePGk8//zzhhLw/1j2WXn4+fkZI0eO1O9HcC+iT50yQipXNhqUKWP8s2+f3McOwvNdljV0UdilipYpfcDc7JVuS7bF09MTvr6+ui0ko2lobdM/T3+7EnVdNbREiRIZZs2yaNrrr7+uq6nmNGeAP8/rzOtbv3598e+7Ed5qNVe/cWP8FB6O5Z99hlpBQQi4807zrGA3zAnAJaHVOXbsWKN27drG4cOHzaOCvUhKSjKioqKMb775xggODjbKKCutU6dOxq5du67bZ6Fl3rt371v68rP6UGJvlCtXzliyZIn5KoK7QCv/xIEDxiNq9f6Qsv6P799vnhHshUuGc6bD0EQmIvn5+blVI3ZnhZY9M2Xp76f/f/r06doaZwRQ9+7d9WqAoZnLli2ziaV/LWqs6jaU6dVHBfeBKzhW9fxIjZnCRYuisxpfv2/apK+5YB9cenOX0M3DOjTszkVREDeA4+BGLePv2eN2xYoVuj7QnWqZfunSJfz22292uXHp3mPWLh90RQnugzL9cXDXLvR59lleaMxctAgVpZuaXXBpi5/Qz8zaPSdOnLBcZ67chsLLgnkPPfSQLpbGPAB+v3PnTrtZa4z5X7JkiSTuuSF51Aq+Sq1amKtWk9zP6dqmje7hm+oiJUVcCZcXfsLNR24mUnAEx8NVFpOtGHJJdxBDQu0FJxQmgbFIm+CelKtSBWNmzEB+Hx+82acP9rCqp7h9bIpbCD9LNVeoUEFnn7JWv5A7MGafRd/sDV1JrNDp4l5K4SbQkGBM//yvv2ZiCV57/nn8rYw6exoUVsMthJ/WJhuxM9mIYYZC7nDs2DHt87c3rPPDRjPsLSC4L2UqVcKYDz+ET+HC6N+jB/7YvFksfxvhFsJP9wLj+Flc7ODBg2IJ5hLcZ4mNjTW/sy/c1GejdcG9ubd+fUz79FOkqus9qHt3HPrzTxF/G+AWwk+Y2s8yzazYmdmyAIJtoSXuqOU4X8tRk4yQe9DtU75qVYyfNw++/v7o26ULfuP+joh/jnAb4WcsPzd5WbNdIj7cH67qZGVnHarXrYsx06fDQ13zoa+/jgN//CHinwPcRvhpGbC5ODd3JbondyhcuLCOs3cELOHMvgKCNWCyZtXatTFBWf75vb3Rp1Mn7Ny4UUI9s4nbCD9h5cgiRYpg27ZtDmkmIlwPk7co/o6A+zqsIyRYCGXc3RUUhGETJujr/97Agfhrxw6x/LOBWwk/kz4aNGigu0hxo1FwLGyiwonX3vA616tXTyfvCdaClv99wcF6w5er/Ddefhl/bNkiln8WcSvhZyZpzZo1dd13acTueLjP8sADD5jf2Q9a+i+99JK+8QULoq57YI0aGDp+PPIqI+DdAQPwu4R6Zgm3En7C7FGK/w61BGRDEcFxpJfPsGfze4o9r/F9991nHhGsCMdB7UaNMGHWLKQkJeGdV1/FHnXPs96PcHvcTvjZjJtWZ0REhET3OBguwznpPvbYY3YroMZkPVYD9fHxMY8IlkWJfxVlALw7ebIu7/D2K69IqGcmcTvhp/g8+uij+v/du3ebRwVHwMbpa9as0Vm13HyzNbym999/P5588klx8whpqHFQq2FDjFDin5qcjOEDB+Lv334T8b8Nbif85K677tL+5s2bN+tqjoJ9Yd397du3Y6C66b744gvdrYuN3cqUKWM+I+dQ9IODgzFlyhSULFnSPCoIaWPjnrp1MUKNjXz582NQz5749aefxO1zC1y69eLNoJuBBcPo56fbxxGRJlaFtXkWL16MCRMm6BuQ7Raffvpp7fJhrD1r9dsiw7Z69eq63wLFX6x94T+oMVGybFncXbUqfvz+e2z+8Ufce++9+hjPCdfjlsJPmNK/cOFCvRHIUg4iFraFKyn2wR0/frx277Rs2RL9+vVDrVq1dBIXffAso8E9l3379ukJIjuZtpw8mJHNiaVx48bSfEW4KaznH3DHHbj3vvvw49q1WLdypZ4ISpUrp88J/4/bCn/evHl1mWa6IRjz7aiMUitw5swZ3XRl6tSp2pfft29fPPXUU7ot47UTLKN8OPHywevAVRj3ATIDVw8std2tWze89dZbqF27tl32DQQ3Q42/4mXKoHKVKvh53Tps+ekn7fotzQbuYvxdxeVbL94MFmqjP3jVqlW6djtFRMgZXEWx3v6MGTN0IxS6dF544QWUo0V1i5uKQ4yTxY9q+c1evfz/woUL+vfxOvE8hZ7WvKf631993yY0FG1ffFEn5EmilpBl1BhieOfgV17RX787aZKu9OkhK0aN2wo/+eWXXzBs2DC89tprePzxx82jQnagtU7R5uYta+R07NhRizJLNGTWjUahP3fuHI4fP66T7A4fPqwnBB7nZjxXDCXz50deNbFUrVMHFdTN6lWggPnTgpBFlLTtUEbGmMGDtWHx5siRqPPQQ2L5K9xa+OlW6NGjhy4lwJ6w4ufPOhweDIulW4euM7p02Nz+dlZ+Zsho6KXEx+PyrFlIUqu0IuHh8CxWzDwjCFmHY2yPMgDf6ttXj1dW+GSlT6uLv1vveHCDsb5a3jGuXDpzZQ3eMLTyP/nkE+1jZ9OTESNG4NVXX9UTqS0mUf6OGx+08PMoaz9Zvf7ZjRvNZwpC9uCYuueBB9LKO+TLh3def12vArgasDJuv9XN8D8WbKO1KmSe33//HYPVEnnmzJlo1KgRJk6ciObNmzukIma+atXgXbkyEpYuNY8IQg5Q4l+7cWMMHjMGKcnJGDtkiPb/W1n83V74aZ2yGTsTjKQR+62hlU+fO618ij5DMN955x306dNHl7x2VChl/qJFkXzPPfDbuxcXDx40jwpC9uGmbpAyYFjSmaGdb/fti99++smyVT3dXvj9/f31JiSzeCMjI82jwo2wkikb2FDo58yZo2Pnx40b5zAr/1q4PM+rLLQ8Z88ijstyQbAFalzdp7TgjeHD9XgfO3Qodv/yiyUtf7cXfsbzBwUF6Y1ehiIK10Mrn5E2n332Gd544w09OQ5VNwQzcAMDA3Mtdt6nenXEKsvf+9dfkZzJ2H9BuB20/Os2aYJRU6dqtw9LOkcoo9Bqlr/bJnBdCys60ppl7HjTpk21RSmk1dhh9u3kyZOxdu1aXVKZm7d16tTRzU5yE0Mtx6+o64X16+HVogW8pOyGYCvU/V+yXDlUVIbNRjW+mORVuXJlSyV5ub3FT1g2gJmfe/bs0eJvdWjlx8fHY8mSJejZsyeOHj2KN998U1v8LG/hDGURvHx94d+sGVLPn0fivn3mUUGwDTT+6oWE6KqeCXFxGKnGPt0+VinsZgnhJw8++KC2cNmP18owU5YRTgPUEpebuE888QQmTZqkrX1nK4lglC+PlFq1EPPll+YRQbAhSvxr1K+Pt8eMUUrooXv4soG7FXz+lhF++qvZGWrDhg2W7cx18eJFLFu2TPvvDx06pC18llJmLRNnrINTICAABevWRaHffsOVM2fMo4JgQ5T4123aFEPHjkWCWgWPfvttS9Tzt4zwU9iKFSumXT10c1gNVtNkIhutfX4W3PC+8847nbt4nbopUwoXZq0HJJw+bR4UBNvCcg66pHO1alof9u7ahTg3D/22xOYuod+aF3Xp0qV46KGHULp0afOM+8O/e+XKlRg9erRuR8naRZ07d9afAQe9s0I/LNvo5Pn6a1xSE5Tfgw+mnRAEG1OoSBHUrF0bR/7+G59+/DFKFC2KarVquW05Z8tY/BT+GjVq6I1N1p5hHK+7Qyv/r7/+0nWK3n//fdStWxcfffQRWrRooWPzXSG6yadyZcSXKwc/tVJJiIkxjwqC7QkoXx6vKzu4UePG+GjKFKxetAgJbhpKbBmLn7B2z4EDB3QJh5CQEB3j766wtg6raVLwafH3798fnTp1+k/NfGeHYZ2XY2Ph+c03SFXXLD87KgmCnaDlH6QMpKP79+Oz+fNRzM8PVZTB6OmEe2A5wTIWP2EJYWbxHjx4UJcmcEdY4ph/HwX/vffe0y0Qp02bpqN3WPrY1fD09kaRJk2QyH0ZaZ4vOIBSd96pLf86agL4YPx4rF22DEmJieZZ98BSFj+h+IWHh+tJgD053Qla+d8oy5i+/HQr/8UXX9TNyV05aS1ZWf2X9u1Dwp49KPzMM+ZRQbAfhfz9cX/9+jhx6BCWLlqEwj4+qFStGrzcxEtgKYufsGhbiRIldBeouLg486hrw30LWvlsRs7SyVWqVNFVNdu0aaOzll2d/MWLo+gjj6Dgn38iTsI6BQdBy3/AyJG4V62a31er5x+WL3ebBC/LWfzk0qVLWL9+vd7spM/blWGUzurVq3Uz8mPHjunYfFbTLFKkiEtb+dfCv+NKQgKS163DmZQUFG3Y0DwjCPalYOHCCKpXD5Hq3lqxZAn8lOUfePfd8HLxHt6Ws/gpIvfcc4/28f/2228uHd1DK5/zNouqMWJp4cKF2sp3xx61vlWrIm+5cij6/fdIdpOVmuAalK5QQVv+Ne+7D6OGDcN3agJwdcvfkhY/C5Cx32tUVJRuMuJqQsk6+YzL5wYuK2uysNpLL72kE9ScOS4/R6i/6+zJk/BVwn9FXbMCd9xhnhAE++Pr54f77r9f+/y/Xb4cxf39Ub5KFZf1+VvO4ifc4K2nlm+7du3S7QVdBfryWVqa0Tpjx45FtWrVMH36dDz99NM6VNWd8VA3WInHHkNSdDS8/vjDEvVUBOeidGAg3lT3XW01AbzzxhtYtXgxkpOYYuh6WNLip7unQIECumBb8eLFtevH2WGdnXXr1un+t//++y/efvttvPzyy/r9u4sv/5aov5HRPf/+9hu81GTt07o18jhBFVHBWtDy1xm+u3fjmxUrUC4gAOXvuitTcf50K7NIIkOu+bgWR9/DeZQVaUnTiVmt/fr10xdiypQpTluzhgOEZZNp2W/atEl3xGIiFiN33NatcxNS1WcRu3QpEpWtUnjzZuQrUcI8IwiO5cyJE3hfGV+bfv4Zg4YMwRPqnsyXgcuYYs9gEjY4onfh5MmTOHv2rG4Dy5awDC7ho0yZMrpboMOKJVL4rcrnn39utG7d2ti3b595xLlISEgwwsLCjPvvv9+oX7++sWrVKkMNJPOsNbkQEWGcuPde4+CsWeYRQcgdTh8/bvRo2dKoU66c8f2SJUZKcrJ5xjCUQWnExMQYa9euNQYMGGAokaeBneGjSJEixvPPP28sW7bMUBOD/ll7Y1mLn7COTY8ePfC///0PL7zwgtNY0LQS1GSE+fPn63wDdg3r3r07KlWqZA23zi1IungRV15+GReVBVV27Vrt+xeE3EKJP95/6y1s37YN/dUKoPlzz0HJti7//vHHH2Pjxo2Z3kdk2fjGjRsjNDQUTz31lA7JtheW9PGnw1o97MrlTNE97A38yy+/6M5Y3MjlJm7Xrl110pnVRZ94qKXwmYMHUXTdOlxs0gQF1RJZEHKLgn5+qF2vHvbs2IFPP/sMZdR9unnnTt3oaPv27dqlk1nofmaI9g8//KBLx6tVvv1aoGq736Ikq6XZwoULjeDgYOPPP/80j+YOiYmJxuHDh423337bqFChgvH6668b//zzj3lWuEpqqnFxxw7jUtGixqkJE/T3gpDbRB07ZvQKDTUqFipkKAPyP+6crD48PT0NZfAZR48eNV/BtlgynDMdlmquVauW3lTZu3evedTx0Mr/7rvv0L59e/z888+6JeLIkSN1eQnhBtSqJ3+FCjh+113I+9tvSIqNNU8IQu7hV7Ikyiot+VdZ6rZo9MSgE7p6WYKFm8O2xtLCT9hdv2rVqvjpp58cnsWbXklz/PjxutQCcwsWLVqkG8W4e1x+TvAsVAhFe/RAklpKp0jtHiGXoYtm7dq1+GD6dCTYMK5fGeZYvHixfvBrW2J54Wc8f506dXD8+HEdH+8IeBHp+2ONHWbc0qdHX/7kyZN1O0Th1njmz4/CDRogSVn/F7ZuNY8KQu7AEM0ZM2bYJRmUhSS5DUsD0ZZYXvgJhZ8N2LkTb2+4qmBcPouqsQUiI3XYMKV169b228hxQzxLl0a+4GBcWLCAM6l5VBAcC+9nJlYyGdRenDp1Spda58rCVojwKwKYfVe+vPav05/Gi0kfGyeDxMRE/bUtllr83bTye/XqpX36tPDZJMWeYVvuSr5CheBZuzZKKUso5sAB86ggOBZm1NNg5P/2gtrDCCFbeiRE+BX0p9Ov/ueff+pQyoiICF22ec6cOdrnzlj6nTt36pmXGzdZnQT4fC4DuWH73HPPaSufv5+VNOlqErJHnvr1kUdN0meXLjWPCIJjYSn0P1g7ys6wqKQt3T2WTuAiXD7Rvz937lwt9IQVL2/8WBgBVL16db0B27BhQ7Rq1Upb6jx+M/g7YmNj9VKQv5+rB8bkM0FD3Do5JyU6GqefeAIFS5VCgYULkdfX1zwjCPaHnoDly5fjGQd0hWMOD/cBBw0aZB7JGZa2+FneeMGCBbr+zaRJk3QNDT4ymgt5kbkimDdvnnbVtGjRQu/k0x2UEXQXMTGMVj6TObhp++mnn2qLX0TfRqiVWuLTTyNJWVxXDh0yDwqCY6Am2CPU8mZwdWErLCn8FHZ+iIMHD9a17JkhezMBzwi6e3bs2IHnn39e7+az1206/N2M2KEPn8XU6CZiuOaHH36I0qVLm88SbAGje8ooi99QqyqPv/82jwqCY6AOHDlyxPzO/rCMi62wpPDzA2R7QlrvTJ7KLlwdDBkyRNfHp/jTyj9x4gTefPNNXfmTKddLlixB27ZtLVdJ01EYRYvictOmOPXFF+YRQRBuh+XUiO4ddq6iRZ4VK/9mMM529uzZmDp1qt6w7dKlC7Zs2aIz7oYPH44KFSqI6NuRvP7+KPX44yiuVmAJ6toKgqPgfe1It60tkzotpUhcmnEDd8WKFf9phJATKP6My6eVHxQUpDd8WF3vVhu/gm3gpldc1apILVQIR+bONY8Kgn3h6p5jj8UTHQU77tkKSwn/r7/+quPm7RFzy+gdllVlUhatfKmk6Tj8atSAT9myCFi1CqkpKeZRQbAd3LtjVN6FCxf0/mBYWJjugNe/f3+HNU+5++67za9yjmWEn778L7/8Uodu2gtG/bAJekZRQYIdyZcP/zZtCq+jRxEdEWEeFITsw3uYUTsM7d68ebNOtmQgyJNPPqn7YzBYg4mf3N974IEHzJ+yH0WLFkUNZeDYDPUHWgKWOA4KCqIi2+2hrHzj4Ycf1iWWBceSePiwEZ8vn3F5wQLziCBkjdTUVF2q/fTp08aiRYsMJfCGn5+f4evra5QrV8545ZVXjE2bNhlqMjDi4+N1pyze6zyekR7Y8tGoUSPj/Pnz5jvNOZZJ4GKFOy7LGFtvT9hHk9m//F9wHInR0TjQvj38lRVW9rPPzKOCcHNo0Ssx1VF+LMvOpkws20KNoD+dLlta8w8++CACAwNv2peblX07duxotyKP3Cuki5rNmWyFZYSfvnc2LOfFties7f/BBx/oGH/BcShzDXErViD+lVdQ9ORJ86ggXA83ZVn+gMmXDMJg+DUj/djwnGHXbH1IwS9evDgKsR5UJgI06PdnBc0pU6aYR2wH9wpZOn7Xrl027RBoCR8/N17pq7O36BNuAP0tyUQOJ4+HB1KqVEGCry/2s2KnYHlYjoX1tX777TcsXboUffv2RRU1Rpo1a6Yz9plQOWzYMJ2MyedQvB955BEttDTgMhuVV7hwYZ3Nz5WBrYM6uI/ACcrWbWElwFwQBMFiWMLVQ2ufoVeM6rE3tBIef/xxrFq1yjwiOIrkixeR9OKLOPXPP6igrDjBejCnhituJmiylDGbpND3ftdddyEkJET77mnRs3ZWuivHFlY6XUibNm1Ct27dcMBGZcLz5s2rk0M7d+6c6dVHZrGE8P+jhKB79+74/vvvzSP2g4OIG0JbpTOUwzFSUnB0xAiUnT4dl8LDUaxmTfOM4I7Qrcq6WNygpQ+ciZnh6rrzHmRODe/Dp59+WlfUTXfd2FpAr4VJoT8pjXnpuedwLDYWqdmUVr7/YsWKYebMmXrfwR7v2RLCzwp63BFnbX17Q1/cCy+8oC+a4GDUUL70xx/wVjf6hYkTUbxvX/OE4C5wI5b5Mhs3btSbtIzIiYyM1DHu99xzj/bh33fffXqD1tfX96pFbwur/nZwxXnhvfdwYMkSjFGrilXqPXIlkBX4fhs1aqQLSHKFYreJisLv7jDWtmvXrpzg7P7w8fEx3nrrLfOVBUeTdOGCsePuu43znTsbyXFx5lHBFWFcPR+Mq//888+NJk2aGEWLFtVx9cWLF9fx82oC0OevXLmiY/Bzk3OzZxuR6n3tHTzYuBgTY3z77bfG3WosqkknQ6249sHn8G+bPHmyERsbq/9ue2KZcE6WRmbhNHvXzy5ZsiS++uorNGjQwDwiOJLUpCREKYsr7zvvwH/7duR1YC0VIWfQOmanOvro//rrL+0rZy9bZt2za12ZMmVQu3Zt7bqhj56ra/rBc7sIYmpyMqLZm6NPH3goK734tGnwKlDgap4A83pYwPHQoUO6XAz3HBlxxDo/LLxWsWJFHRFE19Qdd9yh/yZ7Yxnhp8+dlTNttfGSEVxO1qxZU1fntGUlPSFrJBw/jtPBwcg7YwYCnnzSPCo4KxTENWvW6JBLljqnWFLk6d9maXOKPEWSrhvWxXGU6yazJChNMTp1QlLhwvD46CMUVJPUtVBi6f/nBMaKwPyfkxw1gn8Pw0H5vyMnMMsIP2dZdr9iG0R7QX9c7969dTcvu/nmhNuSfPkyLvzvfzh15gyqh4ebR4XchpuxZ9Q1OXr0qC50RmueiVTciOVmJuPqGWNPi54rZ/ajdgaL/lYkqokqZsAAGDt2II+y9Es0aaJzSpwdywg/Z1y2PuQmry3q8GcEl2mffPKJ3pQRchE1pM9MmADvceOQqpbZfmopLeQOLIVOtw0FntVxuRHL8EpuxDJLlpuxdHXw3rnW8nUmi/5msEzIyZEj4aNWKnnHjoW/MixdQfSJZYSfMD2b9XqYCWfrLN70aB5W8bN1lp2Qdc5t3YqCTz6JkwMHoqJ6CPaHBhWjbmjVs+4NY+lZ2TLdpcFoG/aqvvfee7WFT0vfVftPM3Q4ZskSeCk9SezRA/6DBsHThdy7lhJ++tWY1MH06t9//1373mwBB/Wjjz6qQzjpjxRyn5SLF/Fvo0bwu/tuFFywAF6y52JzeP9Q6BlDz+JmzJdh/2r2oW3YsCGqVq2q7wfue/F/Cj0LnaWHWLos6u++qFaScb17I7F8eRSfPh0FypQxT7oGlhJ+QvFnBi9dPtxEyikcwGyQMGvWLL0zLzgHjO45NG0aiqib0nvNGvjasImFFaFM0F1Kq54WPYMlvvjiC70xS3cOYa16GkDMjGX9+HTXjbsRq1YzUZ07w1d97bdsGQq4oCvRcsJPGNLJkgqjRo3SS9LsfgTceGLY5iC1zOOmlCPCsITMk8DKi7VqwXvePPhJdE+WoZHEEsUsWcykKVryO3fu1OLPEgiMtKHbppb6jFmGnBY93ZzuKPbpJJ47h9hhw5AvLAx5lFFR8PHHARfx61+LJYWf0MdPq+Wtt97SNTayCgd3+/btdXU/3gQuvXR1U5Lj4nCiQwdcUUO8+tdfm0eFW8H7glE3DK/kXlh0dLS28GnBt2vXDsHBwShXrpyuGnmtRW+F8c9VZOzs2TAmTcKlfv1Q+qWX4HmTGv3OjmWFn3CQs4gTa3xwkDP64FbuH0YbMMyMSSQdlKCwGFuRIkWcOtzMynBox86Zg4TBg+H799/wLlbMPCMQWu4sW8zSB7Tmue/FZCNuxvr5+Wmxf+ihh/SmLMc9hZ4hllYc76mJiYj+8kskKkPRaNMGJceMcel9I0sLfzq8ATgBpC9pIyIi9M3AzSouXVn3g5mDvAEYhsYHGzW485LWXTivVnVezzyDk8pCq/raa+ZR68Lqlbt379aZpKxBT1cOH9ynotuS45yP9PBKui9dfjPWBlzYvh2JvXoxNR8Fp02Dzw1JWq6GCP8NcBJgWjVvED5o3dACoqXDMq7ix3ctWDgrrnlzxKtrWHT1apddmmcV3tYcv1zBMnae0TZsEfjHH3/osczzFHs2Dmf0DS16rl55TtyW15OgPr+EN9+EceiQdvP41anjMvH6N0OEX3BrjORkHBw1CgEff4zklStR5N57zTPuB29lZqjTomdWLN03LFHCY9yEpSVfvnx5XcmSFj1LIKRvxorYZ0zS2bM49957QFgY8qpxVKR9e3i4QVa+CL/g3qjhfeHgQcQGBeHYkCHYXbSoDkFkNBdLCFSvXl0nE7HlHhtq07ftCgl4jLjh6pT16OmnZ1Ys+00cP35cW/oUcpb3TXffsBwCffaumjCVG7D42unp0+Hx/vvw6NkTRQYMcKkkrVshwi+4LRza3Lf5culSrJs1C4fi4xGnjlPwKZo8TyGkD5vWL90dDz/8sI5Hp2A6m1uPcfT0x3PS4oP7UEye4iTASYvhlXTbMGGKQk8fPd2U4p7MOhT9ixs2IFUZC8l168KfIZxuVOlVhF9wS5hUxEzq+fPna/HPSokOZpkydHGIuulpJecWvDU5STG8kpuxfDAIgT57dpRq3rw56tSpc7XWDX30UhzQNlz+809c6NwZhpo8/ebNg2+VKuYZ90CEX3ArOJwpjOPGjdNF+bKbnU1LmcX2mKfBBCVHRHBxsuJ7pyuKYs8IM/rr6XpiYAFdUhR6WvWMo+eklN5lSrAdceoaxAwaBK8dO5Bv0iQUfuwx5HGzz1iEX3AruJHZqVMn/Pjjj1dLCWQXRnSxOQZXDgzltQeszU63DXvFUujpo2fJYoo7X5v+eUbfMKQ4PWFKwivtR9Lly4idNg15ldGQPHQo/NTKL48bhm2L8AtuA8Nw33vvPd0PwVZQZJmoN336dB0Rk13B5W3GjVg2GqG7hlY9M8fpp+dr0H9PPz0zY1mqmD567jlw5SEi7xiYpBX7+edIUWMopUMH+L/9ttsW9xPhF9wCCiczsFl5lVa/LeHmaNeuXbX7iC6XrEChZ0Y4M2JpybOtICtaVqtWTU8kFPv08Er+brp1+Hoi9o7n/A8/IGHAAKRWrowi48fDR10bd0WEX3AL2GuBtd7pLrEHjJhZtGiRDvvMSJQZWcMwygsXLui+sSx/sGHDBr3HwKKA3KStW7cu7r//fi32dN3wd7pC6Kjbw9XYwYO4rETfQ60a80+ZgkI1ayp1dN/JV4RfcHnYuHrGjBm6yQ4F2B7Q39+jRw9MmDBBu19Ienglo4b27dun3TfMjOXEQAueOQG05vmg64aROKxgKQlTzgWTtK68+y4MFmt87z34PfGE223m3ogIv+DysHrkU089pZuB2BNa6Nw0ZmgoM2PZXYrWPTdkGV3DhCkmhLFaKzdl+XyJuHFumNl9ZtIkpHzwAfDKKyjRt68lmvaI8AsuD0X4mWee0UX17A0TvBhdQxcNLXqGVzLqhuGVLNxHP72IvWuQkpiI6K++Qsro0fB85BEUfvtt5LNIBVcRfsHl+fzzz9GlSxft8rE3LVu21I13WKGVEwBFXspyuyaxO3YgpVcvJN9xBwqyV3b58uYZ90dGrODS0KfPDVRHiD5hSCZj+plMxegbEX3XJO7ECcROnIgryur3UOKfv1w584w1kFEruDTp0TSOgslWjppkBPsQrwyF80r0Pf/4Az5DhsDvoYfcfjP3RkT4BSELiGfUtUlNSEDC8uXwW7EC3l26oFDr1vCwYBE7EX7BpWFYpCNLDTMGXzqvuS6xP/6IpFmzcOnhh+HVsSM8LFqmWoRfcGm4ucpNVkf52llDR4Tf9eBK7cLOnbg0YgQSihRBwTffRIE77jDPWg8RfsHlYRZsqVKlzO/sCyt25rNI+0Z3IikqCqnTp8M7NhaF+vVDYTcrs5xVRPgFl4dx9Kyhb28YycMkLRF+18JIScGVTz+Fx8aNSO3bFz5Nm9JHaJ61JiL8gsvDBiSPPvqo+Z194F5Cs2bNdDau4DqkxMXh7CefIG7+fMSFhuoyy15SH0mEX3B9aIGzBn85O8ZiM0uXZSGyWp1TyF0u/fILjEmTkLdWLRTt0wf5/P3NM9ZGhF9weWiNs8TxgAEDrhZQsyXcOKZv/8EHH9SvJbgGV44eRcqMGfAoWRL51djIW7aseUYQ4RfcAoZ0PvvsswhVy3lbU7t2bbz77rvaxy+4BvFRUYgeMQKJu3cjj7L0CyqLP49kWV9FPgnBbWDHqoEDByIoKMhmG7AM3xw5cqSuuinlGVyDlIQEXPzsM3ivWoUCXbuiSMuW8JAQ3OuQkSy4DXTDsHja/Pnz0a5dO11LJ7swP4BNUyZPnoyHHnpIKm66CEZqKi6Hh8N7yRJ4dOqEgl26wEM2c/+DVOcU3JLIyEiMGTMG3377re7OxRr6mSHdh8+JY+zYsahYsaL49V0FJWWxv/2GhO7dkViuHApNnQrfChXMk8K1iPALbgsraW7ZsgULFizQrRBPnTqle+BmBKN20mvq/6bE46uvvtIhouLecR2uHDuGi/36IXXfPvh88AH8Q0I4k5tnhWsR4RfcHlbT5ApgzZo1+Omnn3DlyhVd0ZPHGZ7JjWG6dVq3bq07aTVu3FiHbo4ePVqStVyE5IQEXFDXy2vJEqSOGgU/ixZfyywi/IKlYBlnrgQo/GyATkufwn+twM+aNQtz5szB4sWLUaVKFXH1ODmp8fGI+ewzeIwbh+QuXeD32mvIW7CgeVbICFnHCpaCrhta+YwAYsIXv77Rqn/++ed1a8WlS5fqyUFwbmI2bEDi++/jcq1aKKSEX0T/9ojwC8INUPQ7dOiAjz76CPv375ca/E4Kr8vlAweQOHkyPAIDUXTECOSXJK1MIcIvCDdA1w5767IG0CeffIL4+HjzjOBMJEZFIU6Jfd7Tp5Fv0CB4s+KmuOUyhQi/IGQAS0DQ5bNhwwYcPHjQPCo4C6lJSYieMwcpa9YgUV2nQg0bSmZuFpBPShBuQo8ePbTbZ+XKlUhISDCPCrlNanIyzn77Lby++AL5Xn4ZJf73P3gWKGCeFTKDCL8g3AR29nrppZd0hM/x48fF1+8MqGtw5fffUXjIEOSrWRM+ffrASypuZhkRfkG4BU2aNNERQAzxZAiokLvEqwk47r33cC5fPqS++irySX+EbCHCLwi3gG0dn3zySaxevRoHDhwwjwq5QVJsLE6++y6S/voLBSdOhF+9euLXzybyqQnCLWCET/fu3VGwYEF88803EtefS6QmJODyggUotWEDCvTti0LsjSCF87KNCL8g3AbW7+nZsydWrFghvv5cIvbnn5E6ZQrON2sGnw4d4CmlNHKECL8gZILHHntMR/h8+umnutaP4Bg4yV7cvRsxAwfiyh13oPjbbyN/qVLmWSG7iPALQiZg5c62bdvqSp/M5hUcQ/zJk0gaOhQ+efKgyOjRKFC+vHlGyAki/IKQCdiIpUuXLrp657Jly3RlT8G+MF7/8pw58Ni4EcnK4i9Qu7Zk5toIEX5ByCS0+unrZzbv0aNHxddvRyj6J+fORdL8+YhXn3nxVq3gIX59myHCLwhZoGPHjrqbFzt7SQ0f+3F+yxYUGTMGPo0bo6Sy9r0KFTLPCLZAhF8QsgDLOLNy56RJk6Ryp51IOHkS+caORYJaYXkNGQIPX1/zjGArRPgFIQuwnn+bNm105c7PPvtMavjYmJQrVxDZvTsuHjiAPJMnw+fuu3UuhWBbRPgFIYswm7dTp066n++hQ4fMo0JOSYmPR9T776OI+lzzv/oq/B94QDJz7YR8qoKQDfr27avbOLKPr/j6bQCLrynBL75wIa706AF/NbFKZq79EOEXhGzAEg4M75w5c6a2+sXXnwMo+gcO4NL//odTNWuiyIAByCsVN+2KCL8gZJNHHnkERYsWxUJaqZLNm20uHzuGmO7d4ZE/P4oNHQrvYsXMM4K9EOEXhGxSuXJlPP7441i7di2OHDliHhWygpGSgti5c+H9xx/wXrAAPkFB5hnBnojwC0IOePXVV5FfWarSpSvrUPRPzpwJr9mzkaAs/UJK9GUz1zHIpywIOYCVO9mla/HixTh8+LB5VMgMp8PCUHDYMFxu0AAlu3WDp5pABccgwi8IOSQkJERv9n7xxRe4fPmyeVS4FXFnz8Lr/feRctddKDN3LjwlM9ehiPALQg6588470aJFCy38Etd/e5Lj4nDxqaeQJzoaeT/6CJ6ymetwRPgFIYewcme3bt3g5+enK3eylo+QMalJSTg9ZAgKbNmCK/36odC990pmbi4gwi8INqBMmTI6rj88PBwHDx40jwo3ErVqFfIvWICL77yD0h06yGZuLiGfuiDYiHbt2iE5OVlX7pS4/v9yaf9+lHrpJeCJJxAwYAA8CxQwzwiORoRfEGwEI3yeeuopTJs2Dfv27ZNs3muIP3ECV154ASf9/JBXib6XiH6uIsIvCDbCy8sL7du3R7FixXR4J61/IY3Dr72G1IgIFAsLQ+F77jGPCrmFCL8g2JDy5cvjueeew44dO7TVb3VSkpIQOXEiKvz8M/LNno0ClStL+0QnQIRfEGwII1R69OiBxMREXcohLi7OPGNNLvzwA3xHj8bxRx+FX5s2UnHTSRDhFwQbU7hwYTz77LOYNWsW/v77b8v6+i/98w9i+/ZFTLVqqDhtmrRPdCJE+AXBxtDqf+yxx+Dv74+lS5da0uqPO3cOSV26oJivL0rMn4+8RYqYZwRnQIRfEOxAlSpVdDbvxo0bLRfXz+JrcWPHwnvHDlwYMgT56dcXnAoRfkGwA+zNS18/I33CwsKs06XLMHBs1iwkzJmDc6NGIaB1a0nSckLkigiCnQgICMDTTz+t3T2WiPBRon9q0yaUGDgQXm3bouzLL8MjXz7zpOBMiPALgh1h5c4CBQrgyy+/xKVLl8yj7kniyZMo+NZbiK1eHQWGDNEdtQTnRIRfEOwIu3Rxo3fVqlVuXa/fSE7GsRdfxLm9e+GzeDF8K1Y0zwjOiAi/INgR+vg7deqkK3eyhk9SUpJ5xn1IvnIFJ95+G8V//RWFp05FoSpVJEnLyRHhFwQ7ExgYqAu4/fDDD9irLGJ3gjkKsd9/j+ILFuBSr14oHBpqnhGcGRF+QbAzjOtv2bIlUlNTtdUfGxtrnnFxKPp//onYgQMRGRSEgEGDpOKmiyDCLwgOoFy5clr82aXLXSJ8Lh0+jEvdu8OnUCGUnjwZ+QoXNs8Izo4IvyA4gHz58qFt27ba1//111+7fOXOlIQEJH/4IYop8feYNAkFqlUzzwiugAi/IDgIRviEhoZi27ZtLu3rNxITcWbGDKQsW4bo4cNRuFEj84zgKojwC4KDYG/eDh066No9a9ascckaPkZqKiK/+gregwcj/rHHUOKFF+CRN695VnAVRPgFwYGUKFECbdq0wcKFC/HXX3+5VOVOvtf4AwdQYOpUJDzwAIq+/TY8vb3Ns4IrIcIvCA6Ecf3NmzeHj4+P9vUnJCSYZ5yflAsXcGHAAKRcuYICs2bBp0IF84zgaojwC4KDufvuu7XVv3XrVuzfv9886twkxcTg1NCh8FTv2ejXD4XV3yBJWq6LCL8gOBha/V26dNHx/a5QuTM1KQkx33yD/CtWwFAWf9GnnjLPCK6KCL8g5AJly5bV9fq/UYK6e/dup/X1s7b+pe3b4TF2LJIfewxFX31VkrTcABF+QcglHn30UR3pw2zey5cvm0edi8tqUro8cCCSfH3h+/rr8BLRdwtE+AUhl6Cv//HHH9dN2Z2xcmcSN3OnTkWBf/6Bz+TJ8K1RwzwjuDoi/IKQS+TNmxfPPPPM1cqdiYmJ5pncJyU2FhdnzULhzZuBUaNQuGFD84zgDojwC0Iukl6vf/369Tqu3ykwDFxUE5HX2LG40KIFCnEzVyJ43AoRfkHIRRjZw7j+9Mqdud2li5u5F379FfETJ+JScDCK0q9fsKB5VnAXRPgFIZdhvX76+hnhk6tx/crST/z3X6QMGwZvHx/4T5gAnzvuME8K7oQIvyDkMt7e3mjdujWKFCmC1atXI0VZ3blBckwMLk2Zgry//47U115DQSZpCW6JCL8gOAGM8GFc/+bNm7Fnzx7zqONg+8Qzn3yC5BUrEPvKK/BT7yWPh8iDuyJXVhCcAGbzsl4/I3tYw+eKEmJHwczciz//DI8PPkDeVq1QauBAidd3c0T4BcFJYDYvN3q//PJLh2bzxu3ahdTRo+FZpQq8+/aFh6eneUZwV0T4BcFJyJ8/v97kpc+fvn5HdOlKOH0a58aMQeKJEzCGDEHBu+4yzwjujAi/IDgRVatWxVNPPYUtW7bYvTdv0vnziJk6Fb5//AHfUaNQ4qGHzDOCuyPCLwhOBHvzPvvsszq+/6uvvrJbvX7G68epVUXhTz8FOnaEz5NPmmcEKyDCLwhOBn39jzzyiC7ZvGvXLpv7+o3kZFxSK4q4yZNxvmFD5O/eHV4+PuZZwQqI8AuCk+Hh4aF9/RR8+vpt2ptX/c7YPXt0Jy0ULgz/YcNQsEwZ86RgFUT4BcEJYVw/wztZw+fQoUPm0ZyTfP48UubORdEzZ5B/4ED4VKlinhGshAi/IDghjPAJDQ1FoUKFdCkHW1TuTI6NRczHHyNp7VpcHDQIhR5+WJK0LIpcdUFwUqooa7xJkyba6mdcf0Zk1v+fqiaO819/jfgxY5DSrBlK9+gBT29v86xgNfKogeOcPd8EQdCC37NnTzysrPMBAwboqJ/z58/j7NmzuldvrLLieYyx/wULFkSpUqV0fX9GBaVjpKYi9pdfkEC/vjrvO2kSvCtUMM8KVkSEXxCcGIr71KlTsXjxYvTr10+Xbd60aRN+/vlnxMTEXLX4KfR33nknWrZsibp166JOnTqoWLGiPh7/zz+48PrryHPsGLzmzUPRmjWlvr7FEeEXBCeGvXhXrFiBoUOHauuelv7toPXfoEEDPPnkk2jesCEKzJ8Pr+++g9d776F4p07mswQrI8IvCE7KhQsXsGTJEnzwwQc4cOAAkpKSzDO3h5Y+XT+NK1XCaxcvom737vB77TV4iF9fUMjmriA4IVFRUZg+fbq29FmmOSuiT2jPcYWw9s8/McDTE+vKlkWSuHcEExF+QXAymLA1e/ZsTJo0CadOnTKPZo+U1FTsPnQIw99/Hz/++GOmo4AE90aEXxCcCFr2K1euxJw5c3T0ji2g2P/99994X4n/sWPHzKOClRHhFwQn4q+//sK4ceNw4sQJ84htYDvHbdu2YfLkydoFJFgbEX5BcBJYiZO1eX777TfziG2hC4ndvbZv324eEayKCL8gOAmRkZH49ttvze/sA19j3bp14uu3OCL8guAk7Ny50+YunhthV68ffvjBbnX+BddAhF8QnIDU1FRs2LAhUwlaOYGWPiOF9u7dax4RrIgIvyA4AfS///vvvzapwnk7mA0sfn5rI8IvCE4AhZ91eRwBJxdOMoJ1EeEXBCeABdccFWbJCYYlIATrIsIvCE5AgQIFdPMVR8DXqSBlmS2NCL8gOAGFCxeGr6+v+Z19yZs3LwICAszvBCsiwi8ITgAraVL82Wjd3vj4+KBWrVrmd4IVEeEXBCeAgt+0aVMUK1bMPGIfWK65ePHiulGLYF1E+AXBSWDzFLZOtCeenp4IDg7WVr9gXUT4BcFJKFu2LB555BFtldsL9uN99NFH7foagvMjwi8ITgKt8NatW9st4obupCZNmmiXkmBtRPgFwUmgFf7ggw+iV69e2jK3Jfzd1atXx6BBg1CkSBHzqGBVRPgFwYmgD75bt2547rnnkC9fPvNozilZsiT69++PevXqmUcEKyPCLwhOhr+/P9566y088cQT8PLyMo9mn0KFCuHVV19Fx44dzSOC1cljSGFuQXBKWEWTfXfnzZun2zBm9ValT5/x+gMHDkT79u31akIQiAi/IDgxrKvzyy+/4M0338SOHTt0C8XbQX8+k8Fo4fPnGC3kiMQwwXUQ4RcEF+DSpUu6bSIbsR8+fBhHjhxBdHS0eTatDANzACpVqoS7774bnTp10nkBIvhCRojwC4ILwZLK586d024gTgas6EkXDv34jNZhDR5HlX4QXBcRfkEQBIshZoEgCILFEOEXBEGwGCL8giAIFkOEXxAEwWKI8AuCIFgMEX5BEASLIcIvCIJgMUT4BUEQLIYIvyAIgsUQ4RcEQbAYIvyCIAgWQ4RfEATBYojwC4IgWAwRfkEQBIshwi8IgmAxRPgFQRAshgi/IAiCxRDhFwRBsBgi/IIgCBZDhF8QBMFiiPALgiBYDBF+QRAEiyHCLwiCYDFE+AVBECyGCL8gCILFEOEXBEGwGCL8giAIFkOEXxAEwWKI8AuCIFgMEX5BEASLIcIvCIJgMUT4BUEQLIYIvyAIgsUQ4RcEQbAYIvyCIAgWQ4RfEATBYojwC4IgWAwRfkEQBIshwi8IgmAxRPgFQRAshgi/IAiCxRDhFwRBsBgi/IIgCBZDhF8QBMFiiPALgiBYDBF+QRAEiyHCLwiCYDFE+AVBECyGCL8gCILFEOEXBEGwGCL8giAIFkOEXxAEwWKI8AuCIFgM6wh/7BFs3R1jfiMIgmBd8hgK82u3JmJ8bdQe1ACro6ejhb958BbEbJuHeRvTJorIvWEo3X09+tfX396WnPzsLYmPQvjnixBxlt9EYu+60uga1h/BXvrsrTkbgcWfhyMyXn196Qi2RDXAhNkdEJh2VnAAUdsWY9HC5Vi+bgWiiocgsBAQdykO1UOHYPBLLRCox+URLH66G+JGr0fXyvrHnJ6Y39XftS4SHFrRR7YgqvEEzH3OgSMrOUbdC8sxb9libNm4BzF3VEdpdU9ERnqjRb+RGPJiENJuefXZPj8EGL0IHcrpA9aFwu/+7DQm1AInOKP3t9HmsVsTvXe9sX7FSKNFQNrP9V8bZ565PTn5Wc3x5Ya66dXPBhojd5jHSFyksTN8vbF8dAsjQP1eoL+xPrO/+sweY334amNu32D9ntBsrnHYPOX+RBt71PXo2qqFEdqzt9G1WYgR0rSrMSE80jxvZ44sN/o3DTAQEGL0n7/e2HPGPG4SHbHI6N00xBi5Ndo4PLuFuj4hxtwD5kkXQI/3sLlG7/pp4z1ktqNGlrqui/sbLdS9Eti8vzF362Ej+rr7Ic6IDBtsBDefYOyMPmws6qyuQbPpxh7zrJWxhvBHTDCCtFCqx0vL1XDJPFuGp/1clsVbkd2fjVzaIe29qkfGN9EWY6Q+nwXhT+f4IiOUP2sZ4Vc3/IuhxsgwJQrmEU30HmPui4FGQM/VWRoPWSV6rRIeft71BxvLj9ziYl1S19QUTlcT/nQOLwy9xZi1MdHKmGulhBzBRu/Fe255DaO/7W0aSjAChm8xj1obS/j4t66cgCLNQtK+mROGcO0qcV4CWo3E8oGhCO05HSPbijMmJ0RM7ojlTSdgcPNAc7lv4l8NXT9chD5bW6Lr51HmQdsSv20UWjw6ClsDOmDux0MQWsHbPJMBvsEY/PkiqEnZZSmQGZejLTgahj7Na2PAjuoYuTEM05+rdv21vQH/Vv0xslna1+3qKBNQsMLm7laEL2yH/kM7IE365yHM9L87Ld6BCB23HMs/7I3g4uYxIRtsRdg4ZT8H3WTy9A5Gi6cDsGLDFth8RMRvxcSeQ9Q7AFq8PQQdq95C9NOp0AFDxokw3ZLYrRj1XEvM2BaA/vOXY3CjTGzYIRC1m/NzDUWDezNxHSyA2wt//IbVmNesBRo0CkGH5mnH5n0eBvvYeIJTceIIdkZtxYqtR8wDjuPI5yMx5Hd+FYqOraohs3IT1KwjRPpvxhEs7hWKIdvUqnjgPAxpnhnRT6N0gJr81ao/yOqbuiZuLvzx2LJuMVo0b6CWgoEIad8i7fCy5Qg/kfal4CLExiAmhnEjWaCcsvQCgPDuD6PPVxlN9REI/xbo0DQ96sNWRGDF1LC0L5u3QHCFtC8zRa0GMEepDYlHfLL5pQsT9fkAdPyU1zEUE3u1yPI1C6hfG9XMr62Oewt//BaEL2uBFsFpQySwcah5U63A8g1ZtwJjdq/AqFc6oo9auvd5+mE8/L9RWJHJ3IDM/mzMthlp5x9Vj+CKeHhONq3VmL1YMb4POrZWrzl0gPqd3TDk872IuYkAHFk5AN34mhm9bsxWzOjVLu2celQvPQDh12jwdT97b2kMWKdOJkchXL1+u1eGYEivlng4pB0GqNe/uXTHYO9Xo9AttB369FI/p35Xt/HhiDqxFRP/1w2jVoZhxvMFUHpMhPn8zBCMFoOC1f9HMCO0NEqHzkDE1Y88HltH9MaEKsoyb/VfV1DMpnmYOH4etmZnP+jgToRpa1+JTa1AlE77MpNUQ8v5oQi8bokQg62Tu/3n84/ZNFFd1z7qM2uAluO33vDZxqd9nh36YIj6O+bNHIB291ZHR36mGYyBI8vSPvNrr6Ees93boV0oj1VHg6cHYHFmc2F4/aepcdcvs9f/NsSHY3q/FfrLgIG9EZqVyVThHdgCE0NlLXUVc5PXLYlb298IGLje+P9YikhjUXszcqLtokxFtaRH5oQ0DzW6Tt1iRCaZJxRxe+caHQJgBL61PsOogmz9bFy0ER2505jL0DP+bDaiehhJEhLw32iH6D/nGl1rBKZFONwY1XMp7XWnm5/P9a8bZ0RHRxuHGRqX0eve8LP9l643JvScYKy/JloyPbKixfyM/h4z1K7+YGP91VBH8xg6GIuO8/tIY3nPECN03JZrrmcmuJQe/ZH23hgi23X+amPR6y2MDuNWG4cvmc+7lsjlRof05zfPevQTx13669kqwiVOff6REWljhp//8rCRRu/Z6vqeWW30Nl9rcLj5ZMXOServm7Tl+rGVHjlUWX3ON/7d+hpuMSY0N99321Cjw+j1RuQ1H/bhFb319Q/sm3EkVORiM6pn3NwsXv/bE72iq/7dSvaNwRvNg0K2cWPhjzPWDwz4Tyhl+uBUy0Vj0RHz4C1IF++ggRkPdj25cLB/+N/o4Jz87NWbKIvCH7d1pL45g4dnLJDpr3mzcM5bh+TdesJJf88BAR2MuQdueEK0KVBVJxg7zUPpHJ7P2HUlCje+pvpb9HvNcchltLFzaqih7Hr9OvpRq7+x+qZh/GqyMEMrg28yqd+K/x9jN/scs8s1hkt7df30R5w2IYa0H3nNpLnTGGnmkHRYev0fmS6gAaNvvApppI/Zm/3dOyel5YFkFBZ57b2Vlet/e6KN1T3T3hegJq1rDCghe7ivqyd+C8LWdUW74Ou31QKadURX/dUKzFuXeTdKSLOQDH2K3s3aoY9Sp/BefTDvoHnwBnLys1kjAjN0JEkLdH0uOMMNRe9qtdHA/DojbBGSF9WqHdpVvuHV/YukuTz+jkT0dev9KERsSPOHV6twg1OkXGDae525BTtz4qM+uxfhGyMRMm46+jdVHzj5fSJalq6Ibp9nNAaC0H9jHNQqB+GjM752uU1o25amOygAoR+ux/qlgxFyNQLMG/7aFWL+rdfgHxSiQ0ajNu7ErUZ/g6bcF/svQZ0H6PsnauiQm4/Zlzpm4fpnhr2ImGl++WJt1LZx2GjM31ux4uOJmDh+IuZ9tRV7nTzc2xa4rfDHrFuB8FYtEeRrHkineAhavJj2Zfiy8FsO/sxRDUFt+X84Fmd53yAnP5sB28Iwgb7lgCAE5mL0QkjdrG2Wxt9WCNQTsin88RT44OnwHhSGuQN7Y0L4XuxZ3B8hWhOPYF6HimiZ0T6KlxJPf/9MR+NcS0BgbfMrIDL2Vj7xeET9Go7wDTd77L1JmGkIGlS71SdcDb31xHUEi9rfIP7popndibR4EEJuM2azev1vC6OzzC8DAkvf+ndzks/ws+Tjhs8zXhlKT7fEhL3+CHmuP/qr8RESOx0hJZRB8OmR7O9HuABuKvwx2LJmOeI3DUHL9A2rq492mLHX3MxbtxjhOba0/VHENFTDD2R1sOTkZ/9L1JGdaWGq9wbesDnozAQguHnalnvE0Uj9/1XORuqJOaBnCGpn5+85G4YBzScgcNwM9K6TLhf+qPbcBKyPWI8J7dPGQVj3AVhsyyivqkHobX65d++Rm4j3tagJYLcS0hEd8XCIGqPqMXEZfy7+ppOiv+9tPhA9cakx8bta2Q7tg45Pq9XlIGXVfrg6h8aOGlvmHqktxmxWaVDhv6uYa4k3P7D4qL0Im5z+eXbExHVR/DSvi26KWjkBfZbtxd5Y9Vnpj9MbgZ1HYmQzZRA83weLbLIKd07cU/jPhmPF1j6YF6aWwGszeKyZbt6Y4ZixZq/+Ssg9Al+crixTdTWGzkB4rHlQydPiSRMQUX8wFg3Peugeifh0CGbcOwBdM4r3DghB/6XrsagzhUStDndkMlolM/g3QIi5qsScnbj5CPNGQJ0QhDRtgQ59R2L6Wx3N4yEI7dcVoU2DEJDNCTz+78UYEBKI0j3DgRZDMG/pckwfp6zaXi1drzBfucBMh2F6l1MrkqZqVf9cb/RuVT3tYK0BGDm6A1rw87zGTeTtW1p9FnHmdzcSiZirY9H9cEvhj9kYhp2hIQi62U3jr26sgWlfRiwMv8WNmRniEXcp7augQgXSvsg0OfnZ/8KBrImjbeNCxB/BHu8JWD6pCBa3fhgdBzE8dAC21J2BPStHXuO7zgpR2Ls1Qt30Qah2U/EMRIfRE7XP+8jZ6LRDNsEfLbqPNBOxRmH1Jv3FbfEuVMT8KoccXYyuTZWVG90Rq1dOR9f6AdlyWWVMDKLNhZktxmzmCER1ZRiQvVGZnaBjsDdCTXqKgFYNMkyK81erwcNGJJZ3vmYqPBuBrevU/817I7RW2iF3xA2FPwbhK4+gY6ugWwx2bzRo1j/ty1/nIXx32pfZIxJHdMx2kLYosnaD5eRn/4t/cEjaxvWmCPtsUMVEq3dsB+jnDm6B0OcGY264ssLHTcDctcpC7RuKajkoWeHND/R2GwhM8lL/BRa3keiaeNfvjxnDmUOgpH/4jEwZF/GXbDH5xCN8dn8sjlLrhuc7/nfSvNG3v21U1nJF4nciXG+02mbMZo4AZcGnhWTsXXfrTemrXH2fQMugTK4XlAGyuF9vrG46GOsXdnW9lVEWcD/hP7gc8060QMhtaqN4N26BwdpdGIEZ626fFHQk6iaSdzAcK5SFEMBoh0YZv2ZOfjZLFG+B3qMpNmoy25qxZRS/dye2mF9nxNVVQwbER2zBcvNrWxKvVihb54chIieRO/8hAEFNWwDTwhB+KyPx4B6EByjrrvG17qB4RExjwlQ7TNyW3bWTN4Jfn4e5dCWt64MBM28v/ZFHs5KcdjNiEHUwLUu5WtX/loqIP7ATaWlQt+ZmYzZmzWJMVP/bbMxmEv+2yihgyZV13TBxze2vyZFlM/T7ZJZvSNCtHYXxu8Mwb9oo9FET5ZAD7TByeJ9srjJdCDOs0z04k574FGJM/9M8dlP2GNObpccG9zZWZ5TIo9BxzQEdjK6dGZtsHkzHTIgJaDXS2HJDjXWSk589PDtEv7fgDGL8jbj1hlqv3OR9m4lPAf2N1TcGYp9ZbwxuGpAWG3+zeOozyw1lW/03dp7vt29oWknnm+RA7Pkw7T1Xm5TBb776nrsay2/8e9U5NQkbqBxshLBW/tVHV6P/uOnGorCd1yUSZZq4nWmf8U3yKIxLe9R4CTEGr73hbHrpaj5yWr6ar/FioP5dwW+tvi6J7zqOLDI6NO1t9DfHb8ZlmdW1bcv3Vc2YcG2fhhtIj7VH39XX53LoazjYGKyTtAYbjMSPXtH7uh4V6XH8AQEZjFm+R3WdbjZms339M8uR1WbN/xbq78/wimp0AmPTDkYon1sri3kD5t8Y+OLynF13J8c9hD9SDYga12Znpj0C2meUnbtTCX7w9ck8+hFgVGsaYnRdfP1P8EYInX3YiFM3MLM9u05dbawPX2+sXjzSCK1RLS378yZjMDs/u3Mqm4RUSxNn8xFYP8SYsFWdVH9nfyWIwbpJi/kIqKYEcoKx5TpBiTa2jOtgVKvMxh/ma87vb3QdONfYueMaUePPvvTfzyh67UijReUAI+SdRfpn16+YbvR+caSxXN14aQlcfPDz6qongJu955BxSloyes8INIKVqF+dPJIijfXDWxgBNdIF33xc9zsDjcHh2VB//dmHGAGVuxrTw/cYkdHMUN1jrOc1qB9qTAhT18d86v8Taazmz6jPp+vCjM5nncjwCUYHjlH1OzsMX2Ss3sr3Emns2braWDQ81AhuP8FYzXr9OtO4xQ2im/Z+Qq4b42njNaPrd/X6awGbbqxOv4Z907JpmeQXQgGvoSbal+Yae64xHtKFv/+3e4zlr3e4bvyEVM7amM309c8K0ep6Dmyh79/A9iOVUbDF2BMZbUTu3ZL2N7YKUe8xLeNY/53vZL3+/pbhaZ9z8FT3bdmSh/+oP1LILCwWZrokvH394Z2VZJKc/Gy2iL+msBnD+7g0v+aYlz/8b8xzuMq1P6t+2oxpj49hkKE+Yv6+HMIyu81CsafDCkzsGXxd1EU6bO03pGdHzNjWO9OtM//D2b3YunELthyk38cfgY0bIKRWNTOMz3HEH43AloidiNDvQ72TykGoXq02gqtm54+6HRldf5NkdS5Wvf4NH8DWEXnQYCjQf20cJjRT5xw+ZjNJ7BFE7IjAzl/NcNnigQgKCkLtqoGZvKbxiPh0BsJjghDaN+Q6f37U5+1QWo1HtF+EyKUdMkiDcwO0/AtCLrFzUpBajg82ttzE1XYVs4tadjqhCZnnqsXv7p9zuksTwf9xC6eXLcl5qRDnxU0TuARXIT42Qv1TRFmT5oGboazNIsr2chqLU3BtigchuHk1dF04D11rmMc0R7B1Jbe/gzHyf85ZrsMWiPALuUpw+7loETMAQ24ZUngEi4cPwZ6mfdCyroN9MxYlJvb/3XzuSSC6Ll6EoDUD0GfaCoT/fgQxR7di3isd0TEiFBM2hmFwHfcda+LjF3Kfo2EYNagP5qE3pg/viAblAvTeQ3xMFI5sXY6J42cguulIjGRcv7uaYLnMkZUTsWLHXoTNmYdwRoNWDkX/7g1QrXFXdK3v5h96bBT27t6DyDigSGBtVKuQvRpNroQIv+A0xJ/di4g/92LPtRt2FQIRWDcIgbdzBQk545pN3Ou4ZQCA4KqI8AuCIFgM8fELgiBYDBF+QRAEiyHCLwiCYDFE+AVBECyGCL8gCIKlAP4PMuBYarchRJAAAAAASUVORK5CYII="
    }
   },
   "cell_type": "markdown",
   "id": "7be98810-e503-4a8f-be80-fcdf7d9c46e4",
   "metadata": {},
   "source": [
    "<div>\n",
    "<img src=\"attachment:55294d34-077f-4999-94f8-7c775f89e278.png\" width=\"200\"/>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bd3fa291-6433-46bf-bc34-f4ec4f142f24",
   "metadata": {},
   "source": [
    "Der abgebildete Graph $G_3$ besitzt ein Matching $M$, welches bereits in rot eingezeichnet ist. <br>\n",
    "Wir können einen $M$-alternierenden Pfad finden. Dieser ist sogar $M$-augmentierend, da Start- und Endknoten zu keiner Matchingkante inzident sind. Den augmentierenden Pfad $p=\\{e_1, e_2, e_3, e_4, e_5, e_6, e_7\\}$ können wir blau einzeichnen."
   ]
  },
  {
   "attachments": {
    "0fcba311-d3fc-469a-857c-bf11793ab3c3.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "903edc1a-ce5d-490b-8f2c-2d36c0ddf983",
   "metadata": {},
   "source": [
    "<div>\n",
    "<img src=\"attachment:0fcba311-d3fc-469a-857c-bf11793ab3c3.png\" width=\"200\"/>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3439ed65-9d19-4f33-b7e8-b01daff2954b",
   "metadata": {},
   "source": [
    "Man kann beobachten, dass $M' := \\{ e_1, e_2, e_3, e_4, e_5, e_6, e_7 \\} \\setminus M$ ebenfalls ein Matching ist und sogar eine Kante mehr hat als $M$. Wir können also durch augmentierende Pfade vorhandene Matchings in einem Graphen vergrößern!   <b>\n",
    "    \n",
    "Das Matching $M'$ sieht dann so aus:"
   ]
  },
  {
   "attachments": {
    "dfc3fc0d-cb81-426a-9ff3-4894970a2666.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "7756eeba-f28f-4fc6-b694-d8c7b5070c61",
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   "source": [
    "<div>\n",
    "<img src=\"attachment:dfc3fc0d-cb81-426a-9ff3-4894970a2666.png\" width=\"200\"/>\n",
    "</div>"
   ]
  },
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   "source": [
    "Es gilt also die Aussage:\n",
    "\n",
    "<div class=\"alert alert-block alert-info\">\n",
    "Sei $G=(V,E)$ ein ungerichteter Graph und $M$ ein Matching von $G$. Dann gilt\n",
    "    <center> $G$ besitzt einen $M$-augmentierenden Pfad $\\ \\Longrightarrow \\ $ $G$ besitzt ein Matching $M'$ mit $|M|<|M'|$ . </center>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "26ee4010-20f1-4296-afbe-96d988d80da1",
   "metadata": {},
   "source": [
    "Kann man jetzt noch ein größeres Matching finden? <br>\n",
    "\n",
    "Offensichtlich gibt es keinen $M'$-aumentierenden Pfad mehr. Das muss aber nach unserem aktuellen Kenntnisstand nicht automatisch heißen, dass es auch kein größeres Matching gibt, da die obige Aussage nur besagt, dass $M$-augmentierende Pfade eine <b>hinreichende</b>, aber keine <b>notwendige</b> Bedingung für die Existenz eines größeren Matchings sind. <br>\n",
    "Praktischerweise lässt sich aber auch die Rückrichtung der Aussage zeigen.\n",
    "\n",
    "<div class=\"alert alert-block alert-info\">\n",
    "Sei $G=(V,E)$ ein ungerichteter Graph und $M$ ein Matching von $G$. Dann gilt\n",
    "    <center> $G$ besitzt einen $M$-augmentierenden Pfad $\\ \\Longleftrightarrow \\ $ $G$ besitzt ein Matching $M'$ mit $|M|<|M'|$ .</center>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9a9c4c72-1574-4791-b86f-892036d20ae2",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "    \n",
    "### Aufgabe\n",
    "***\n",
    "Beweisen Sie diese Aussage.    \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "be1da9b8-be96-422e-8fcd-677cdaebc0b5",
   "metadata": {},
   "source": [
    "Somit haben wir ein Kriterium für die Maximalität von Matchings gefunden: Ein Matching $M$ ist genau dann maximal, wenn kein $M$-augmentierender Pfad existiert. <br>\n",
    "Diese Idee verwendete auch Jack Edmonds in seinem Algorithmus zum Berechnen von maximalen Matchings, den er in den 1960er Jahren entwickelte."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ca1538a7-2bb7-40ac-84e2-5b4c6ca0ca83",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "    \n",
    "### Recherche-Aufgabe\n",
    "***\n",
    "Suchen Sie nach dem <i>Matching-Algorithmus von Edmonds</i>, im Englischen auch bekannt als <i>blossom algorithm</i>. Machen Sie Sich mit dem Konzept vertraut und verfassen Sie einen Pseudocode dafür. Rechnen Sie den Algorithmus an einem nicht-trivialen Beispiel durch.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ffc6f435-124c-4854-964b-eea690d541cd",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b972032e-a356-4db5-a826-e188058c921e",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-danger\">\n",
    "    \n",
    "### Rückblick-Aufgabe\n",
    "***\n",
    "    \n",
    "In diesem Notebook haben wir uns mit dem Konzept von Matchings in ungerichteten Graphen vertraut gemacht. Hier sind wir besonders auf den Spezialfall der <b>maximalen Matchings</b> eingegangen, welchen wir am Anfang anhand eines Anwendungsbeispiels betrachtet haben. Ebenfalls haben wir uns die grundlegende Idee hinter <b>stabilen Mengen</b>, <b>Knoten- und Kantenüberdeckungen</b> angeschaut. Mit dem <b>Satz von Gallai</b> haben wir sogar selbst nachgerechnet, dass ein Zusammenhang zwischen diesen drei Konzepten der Graphentheorie und maximalen Matchings existiert. <br>\n",
    "Um in einem gegebenen Graphen $G=(V,E)$ ein maximales Matching zu finden, ist ein Kriterium hilfreich. Ein solches lässt sich durch augmentierende Pfade formulieren und wird im Algorithmus von Edmonds verwendet.\n",
    " \n",
    "Bisher haben wir Matchings nur in ungewichteten Graphen betrachtet. Was passiert, wenn man einen gerichteten Graphen hat, und dort ein Matching mit maximalem Gewicht finden möchte? Gelten ähnliche Zusammenhänge wie wir sie bereits kennen? Lässt sich der Algorithmus von Edmonds auf diesen Fall anwenden? Falls nein, existiert ein anderer Algorithmus für das Optimierungsproblem? <br>\n",
    "Formulieren Sie das Problem sauber aus und stellen Sie einige fortführende Ergebnisse zusammen.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7959f09a-d94a-419e-88e7-bdce36a98aec",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eb3a7751-13db-45d5-9b12-eb1c75cb0b5b",
   "metadata": {},
   "source": [
    "### Literaturhinweise\n",
    "- Blossom Algorithm. (2022). In <i>Wikipedia, The Free Encyclopedia.</i> https://en.wikipedia.org/wiki/Blossom_algorithm\n",
    "- Matching (graph theory). (2023). In <i>Wikipedia, The Free Encyclopedia.</i> https://en.wikipedia.org/wiki/Matching_(graph_theory)\n",
    "- Bernhard Korte, Jens Vygen (2018): <i>Combinatorial Optimization.</i> Heidelberg: Springer Berlin."
   ]
  }
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