{ "cells": [ { "cell_type": "markdown", "id": "8893dce6-639c-41f9-93f9-de8584ac82e6", "metadata": {}, "source": [ "***" ] }, { "cell_type": "markdown", "id": "9ed196d5-8555-4dae-b9e9-50aa9443b63c", "metadata": { "tags": [] }, "source": [ "# Klassifikation der Isometrien des $\\mathbb{R}^3$" ] }, { "cell_type": "markdown", "id": "5d805f86-d9ec-45e6-ad3e-1b6d0bb2f9d3", "metadata": {}, "source": [ "***" ] }, { "cell_type": "markdown", "id": "655ee729-4570-42ef-8461-d51c0b66f687", "metadata": {}, "source": [ "
\n", "Ziel des Notebooks:\n", "\n", "- Geometrisches Verständnis für Isometrien im $\\mathbb{R}^3$ gewinnen\n", "- Eigenschaften von Isometrien verstehen\n", "- Konzepte wie Skalarprodukt und Metrik aus linearer Algebra und Analysis besser verstehen\n", "\n", "
\n", " \n", "Mathematische Tools:\n", "- Metriken\n", "- Skalarprodukte\n", "- lineare Abbildungen\n", "- orthogonale Matrizen\n", "
" ] }, { "cell_type": "markdown", "id": "535f1cc5-1256-4255-a11e-746b47d0fc27", "metadata": {}, "source": [ "***" ] }, { "cell_type": "markdown", "id": "1142ba28-bc43-4d3e-8b13-cc5e633dc448", "metadata": {}, "source": [ "Wir machen ein kleines Gedankenspiel: In der linearen Algebra, bzw. Analysis haben wir bereits Funktionen kennengelernt, die von Vektorräumen in andere Vektorräume abbilden. Also etwa vom $\\mathbb{R}^3$ in den $\\mathbb{R}^3.$ Das sind wirklich viele Funktionen. Unendlich viele sogar und tatsächlich sogar mindestens überabzählbar viele, wie man sich leicht überlegen kann. Nun schränken wir diese Menge ein bisschen ein. Wir schauen uns nur noch solche Funktionen an, sodass, wenn wir zwei Vektoren vergleichen und dann deren Bilder vergleichen, der Abstand - im intuitiven $\\mathbb{R}^3$ Sinne - gleich bleibt. Solche Abbildungen wollen wir im Folgenden Isometrien nennen. Sicherlich können Sie sich einige Abbildungen vorstellen, die eine solche Bedingung erfüllen und tatsächlich sind dies immernoch mindestens überabzählbar viele.
\n", "In diesem Notebook wollen wir nun versuchen für diese riesige Menge an Abbildungen eine Klassifikation zu finden, indem wir genauer beschreiben, wie solche Isometrien geometrisch aussehen können, bzw. eine Zerlegung in weniger allgemeine Abbildungen finden.
\n", "Dabei betrachten wir der Einfachheit halber nur den $\\mathbb{R}^3$ und schreiben in der Regel $0$ statt $0_{\\mathbb{R}^3}.$" ] }, { "cell_type": "markdown", "id": "5a1987f2-1c9b-4872-b4c7-ecf82aeed40a", "metadata": {}, "source": [ "***" ] }, { "cell_type": "markdown", "id": "ae263e6f-0f30-49ac-a6c3-62e0c889e05f", "metadata": {}, "source": [ "### Metriken" ] }, { "cell_type": "markdown", "id": "13754228-e693-4f54-bc54-53c2e7cd0a54", "metadata": {}, "source": [ "Um uns überhaupt über abstandserhaltende Abbildung im $\\mathbb{R}^3$ unterhalten zu können, müssen wir erstmal einen Abstandsbegriff entwickeln. Dafür eine Wiederholung der Definition von Metriken aus der Analysis:" ] }, { "cell_type": "markdown", "id": "5f831269-e45f-4b52-9f9d-edc1ca9212bc", "metadata": {}, "source": [ "
\n", " Definition Metrik
\n", " Eine Abbildung $d: X \\times X \\to \\mathbb{R}$ für eine Menge $X$ wird Metrik genannt, falls für beliebige $x,y,z \\in X$ gilt, dass :
\n", " 1. $d(x,y) \\geq 0$ und $d(x,y) = 0 \\iff x=y$ $\\hspace{0.5cm}$ (positive Definitheit)
\n", " 2. $d(x,y) = d(y,x)$ $\\hspace{4.65cm}$ (Symmetrie)
\n", " 3. $d(x,y) \\leq d(x,z) + d(y,z)$ $\\hspace{2.95cm}$ (Dreiecksungleichung)
\n", "
" ] }, { "cell_type": "markdown", "id": "9d4c3f3f-1e24-4035-9811-618b2dc646ca", "metadata": {}, "source": [ "Weil es allerdings viele verschiedene mögliche Metriken - selbst nur auf dem $\\mathbb{R}^3$ gibt und wir uns das Leben nicht all zu kompliziert machen wollen, werden wir uns zunächst auf die Metrik die vom Standardskalarprodukt induziert wird reduzieren. Letzteres Standardskalarprodukt haben wir in der linearen Algebra wie folgt definiert:\n", "
\n", " Definition Standardskalarprodukt
\n", " Wir bezeichnen die Abbildung $\\langle \\cdot , \\cdot \\rangle: \\mathbb{R}^3 \\times \\mathbb{R}^3 \\to \\mathbb{R},$ wobei für $x,y \\in \\mathbb{R}^3$:\n", " $$\n", " \\langle x, y \\rangle := x^T \\cdot y = x_1 \\cdot y_1 + x_2 \\cdot y_2 + x_3 \\cdot y_3.\n", " $$\n", " Weiter verwenden im Folgenden den hiervon induzierten Abstandsbegriff:\n", " $$\n", " d(x,y) = \\langle x-y, x-y \\rangle.\n", " $$\n", "
" ] }, { "cell_type": "markdown", "id": "ac1b30fc-1bd1-43bd-b83f-f87ea617b0d6", "metadata": {}, "source": [ "Tatsächlich ist es einfach nachzuweisen, dass obiger induzierter Abstandsbegriff tatsächlich eine Metrik ist. Bevor Sie dies jedoch selbst in Erfahrung bringen dürfen, wiederholen wir kurz, was ein Skalarprodukt für unsere Zwecke ist:" ] }, { "cell_type": "markdown", "id": "4f7fbc41-0029-4dcd-ae01-4bcd93ba6884", "metadata": {}, "source": [ "
\n", " Definition Skalarprodukt
\n", " Wir bezeichnen für einen $K$-Vektorraum $V$ eine Abbildung $b: V \\times V \\to K$ als Skalarprodukt, wenn für beliebige $v,w,v_1,v_2,w_1,w_2 \\in V$ und $\\alpha, \\beta \\in K$:
\n", "1. $b(v,\\alpha w_1 + \\beta w_2) = \\alpha b(v, w_1) + \\beta b(v,w_2)$ $\\hspace{1cm}$ (Linear im ersten Argument)
\n", "2. $b(\\alpha v_1 + \\beta v_2, w) = \\alpha b(v_1, w) + \\beta b(v_2,w)$ $\\hspace{1.1cm}$ (Linear im zweiten Argument)
\n", "3. $b(v, w ) = b(w, v)$ $\\hspace{5.3cm}$ (Symmetrisch/Hermitesch)
\n", "4. $b(v, v ) > 0$ für $v \\neq 0$ $\\hspace{4.8cm}$ (Positiv definit)
\n", "
" ] }, { "cell_type": "markdown", "id": "1892eec4-611c-43d8-bff1-1110d06eed4e", "metadata": {}, "source": [ "
\n", "\n", "### Aufgabe\n", "***\n", "Weisen Sie nach, dass die obige Abbildung $d(x,y) = \\langle x-y, x-y \\rangle$ mit $x,y \\in \\mathbb{R}^3$ tatsächlich eine Metrik ist.\n", "\n", "Hinweis:
\n", "Orientieren Sie sich beim Nachweisen an der Definition einer Metrik und des Standardskalarprodukts wie oben.\n", "
" ] }, { "cell_type": "markdown", "id": "365a685a-c679-4209-b48a-15b7d7af90a2", "metadata": {}, "source": [ "***" ] }, { "cell_type": "markdown", "id": "c63b006a-87ce-4ede-be29-aaea5b4dfecc", "metadata": {}, "source": [ "### Isometrien" ] }, { "cell_type": "markdown", "id": "4b60dda0-c91a-48a6-91d7-13ac682d916e", "metadata": {}, "source": [ "Es gibt verschiedene Arten Isometrien zu definieren, insbesondere spielen diese in der Geometrie aber auch Analysis eine große Rolle. Um es einfach zu halten, wollen wir Isometrien in diesem Notebook als surjektive, abstandserhaltende Abbildungen bezeichnen. Also wie folgt definieren:" ] }, { "cell_type": "markdown", "id": "8c9c3cc3-75ae-40cb-9296-6ed7640ffab3", "metadata": {}, "source": [ "
\n", " Definition Isometrie
\n", " Wir nennen eine surjektive Abbildung $f: \\mathbb{R}^3 \\to \\mathbb{R}^3$ eine Isometrie, falls für beliebige $x,y \\in \\mathbb{R}^3$:\n", " $$\n", " d(x,y) = d(f(x),f(y)).\n", " $$\n", "
" ] }, { "cell_type": "markdown", "id": "0493a601-8b8e-4a84-b192-75553bcb51ab", "metadata": {}, "source": [ "In der linearen Algebra hatten wir bereits einen Isometrie Begriff definiert, wobei dieser für lineare Abbildungen reserviert war. Wir wollen nun feststellen, dass dieser mit der obigen Definition kompatibel ist." ] }, { "cell_type": "markdown", "id": "57b00dde-2fe1-4d98-934b-029ef1ec3592", "metadata": {}, "source": [ "
\n", "\n", "### Aufgabe\n", "***\n", "Zeigen Sie, dass für eine lineare Isometrie $f$ und $x,y \\in \\mathbb{R}^3$ gilt, dass $\\langle f(x), f(y) \\rangle = \\langle x,y \\rangle .$\n", "\n", "Hinweis:
\n", "Zeigen Sie obiges zunächst für den Fall $x = y,$ indem Sie $d(x,0)$ betrachten und nutzen, dass für lineare Abbildungen $f(0) = 0$ gilt.\n", "
" ] }, { "cell_type": "markdown", "id": "a205b26a-3e9b-4a8b-ba60-47295e4d6164", "metadata": {}, "source": [ "Die oben definierten Isometrien haben weitere nützliche, aber auch intuitive Eigenschaften, wie die Tatsache, dass diese bijektiv sind und mit der Hintereinanderausführung als Verknüpfung eine Gruppe bilden." ] }, { "cell_type": "markdown", "id": "ab00d3da-f30e-480b-aab5-a3a789cd3912", "metadata": {}, "source": [ "
\n", "\n", "### Aufgabe\n", "***\n", "Zeigen Sie, dass Isometrien mit obiger Eigenschaft bijektiv sind und die Menge der Isometrien mit der Hintereinanderausführung als Verknüpfung eine Gruppe bilden.\n", "\n", "Hinweis:
\n", "Es ist nur noch zu zeigen, dass Isometrien injektiv sind, da die Surjektivität nach Definition gegeben ist. Für die Untergruppeneigenschaft müssen sie u.A. zeigen, dass die Verknüpfung von zwei Isometrien wieder eine Isometrie ist, und das das Inverse einer Isometrie auch eine Isometrie ist.\n", "
" ] }, { "cell_type": "markdown", "id": "a2f9aef6-51b5-42f5-84b6-332954f0d782", "metadata": {}, "source": [ "***" ] }, { "cell_type": "markdown", "id": "cee87d2d-7f89-4c5b-8cd9-964f91a65629", "metadata": {}, "source": [ "Jetzt sollten wir schon ein ganz gutes Bild von allgemeinen Eigenschaften von Isometrien haben. Nun wollen wir uns mit spezielleren Isometrien, insbesondere mit zwei bestimmten Arten von Isometrien beschäftigen. Für die erste folgt zunächst eine kleine Rechercheaufgabe, bei der Sie nach dem Ursprung des Wortes \"Translation\" recherchieren sollen, wobei hier nicht notwendigerweise das englische Wort für \"Übersetzung\" gemeint ist.\n", "\n", "
\n", "\n", "### Rechercheaufgabe\n", "***\n", "Recherchieren Sie nach der Herkunft des Wortes Translation und überlegen Sie sich, was eine Translation für eine Abbildung sein könnte, mit dem Wissen, dass es sich um eine Isometrie handelt.\n", "
" ] }, { "cell_type": "markdown", "id": "6b2a0dc1-7df6-48dc-bc76-7ff856379ea0", "metadata": {}, "source": [ "Es folgt nun eine mathematisch formale Definition einer Translation. Bei dieser interessiert uns insbesondere, dass sie nicht linear ist, da sie den Ursprung (unsere $0$) nicht auf sich selbst abbildet.\n", "Man kann sich eine Translation als Verschiebung des Raums vorstellen. Dabei werden alle Punkte (wenn man so will die Spitzen von Vektoren, die im Ursprung starten) um einen festen Vektor verschoben.
\n", "Wir wollen Translationen wie folgt definieren:\n", "\n", "
\n", " Definition Translation
\n", " Für ein $\\alpha \\in \\mathbb{R}^3,$ nennen wir die Abbildung $t_\\alpha: \\mathbb{R}^3 \\to \\mathbb{R}^3, x \\mapsto x + \\alpha$ die Translation um $\\alpha.$\n", "
" ] }, { "cell_type": "markdown", "id": "a22e7dad-1fdc-4c56-a340-0c2e75bcd95e", "metadata": {}, "source": [ "Hier noch eine Visualisierung der Idee im $\\mathbb{R}^2,$ dass alle \"Punkte im Raum\" um einen festen Vektor $\\alpha$ verschoben werden. Hier ist auch zu sehen, dass der Ursprung nicht auf sich selbst abgebildet wird, womit die Abbildung nicht mehr linear ist." ] }, { "attachments": { "0709906c-a1bf-4647-a41a-98044b641f77.png": { "image/png": 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Thx9+uDz//POtqnFPobcapK6uThYsWCBqp7cK1FXwffbZZ0ul9idSHAgggAACCCCAAAIIIIAAAgggYD6Bpvp4p48cJNVr8sw3WWaEAAJRFSD0jiovg0dLQN108sorrzQC6UmTJumtSVpzvdaE3moctZP89ddfl44dO+rX2X///eW8887TH2/NdXgOAggggAACCCCAAAIIIIAAAgjERkD18V77xOPGDu/EXp0kdVAP2f73L2MzAa6CAAKmEiD0NtVyMJnWCHg8Hvnqq6+kQ4cOehjdpUuXVrU1qR+7taG3en51dbW88MILxrVUy5PLLrtMb4FSPx6fEUAAAQQQQAABBBBAAAEEEEAgfgJBr1eKvv934z7e/btJ3oOz4zcprowAAnEVIPSOKz8Xb6tAKBSSTZs2Sd++ffXA+7DDDpNnn322TcO0JfRWA1dVVcmcOXOM4PvAAw+U6667rtU7y9s0OZ6MAAIIIIAAAggggAACCCCAAAKtFlB9vKvXrpH0kQONXd7qJpbZF50rAe2eXRwIIOBMAUJvZ667ZatWPbUffPBBPfBW/bbHjx8vXu03um052hp6q7F3Db4PPvhgufXWW8Xv97fl0jwXAQQQQAABBBBAAAEEEEAAAQQiKOApKZZl115hBN6JvTtL+ughUrNhQwSvwlAIIGA1AUJvq62Yg+cbCAQkMzNTDj30UD307tSpk/51W0nCCb3VNVTw/cQTTxg7vg855BCZMWOGqN3nHAgggAACCCCAAAIIIIAAAgggEFsBf02N5P/1lYbA2+jj/VVsJ8LVEEDAdAKE3qZbEibUnEBRUZFMmTJFD7xV8D1z5szmntri4+GG3mpQFXw/+eSTRvCt2quorzkQQAABBBBAAAEEEEAAAQQQQCB2AkGfT3YkJ0lyv65G6J3cr5usnn1f7CbBlRBAwLQChN6mXRomtrOAy+WS9957Tw+8O3bsKEOHDtUD6J2f09r/bk/ora6hgu+nnnrKCL6POuooef/991t7eZ6HAAIIIIAAAggggAACCCCAAALtEFB/cV27caNkjB1hBN56H+/zJ0ugrq4dI3MqAgjYRYDQ2y4raeM61P/M1q9fL926ddND72OOOUa+/fbbsCtub+itLlyj/QnVK6+8Iqqv+F577SWdO3eWtLS0sOfEiQgggAACCCCAAAIIIIAAAggg0DoBT2mprPjjrUbgnai1NUkfOUiq1+S1bgCehQACthcg9Lb9Elu/wPLycrnrrrv0cPmggw6Sm266qV1FRSL0VhOo0357/O6774qa09577y0DBw6UgoKCds2NkxFAAAEEEEAAAQQQQAABBBBAoHkBtZN787vvNAq8UwZ1l62ff9r8SXwHAQQcJ0Do7bglt1bBPq1HV2Jiouy///56O5GePXvK1q1b21VEpEJvNQmPx6PvOj/66KPlgAMOkCuvvLJdc+NkBBBAAAEEEEAAAQQQQAABBBBoWiDk90v5ksWSPOAEI/RWPb1X/fnupk/gUQQQcKwAobdjl94ahW/fvl3GjRun7/I+4ogj5NVXX233xCMZeqvJ+LX/6ebk5MiZZ54pjz32WLvnxwAIIIAAAggggAACCCCAAAIIILC7QN3WAlk8aZwReCf1SZCsKZPEX1u7+5N5BAEEHC1A6O3o5Td38ap9yJtvvqkH3qp39vjx40Xt/G7vEenQu73z4XwEEEAAAQQQQAABBBBAAAEEEGhZwKu1Pl1935+NwFvv4z1igFT9+mvLJ/JdBBBwpAChtyOX3fxFq5tXrlu3Trp06aKH3v/7v/8rKSkpEZk4oXdEGBkEAQQQQAABBBBAAAEEEEAAgZgIBNxu2fbF55LYu7MReqcM7C5bPng/JtfnIgggYD0BQm/rrZkjZrzzzSsPPvhgmTZtWsTqJvSOGCUDIYAAAggggAACCCCAAAIIIBBVgVAgIJW5uZI6pJcReKs+3ivvmh7V6zI4AghYW4DQ29rrZ8vZqx7ZycnJ+o0hO3ToIL1795bCwsKI1UroHTFKBkIAAQQQQAABBBBAAAEEEEAgqgJuLQ/IvuAcI/BWfbwXT54gvqqqqF6XwRFAwNoChN7WXj9bzl4F3BMnTtTbmhx55JEyb968iNZJ6B1RTgZDAAEEEEAAAQQQQAABBBBAICoCvspKWTvnUSPwVn2804b3k8rly6NyPQZFAAH7CBB622ctbVGJunnlO++8Y9y8csIE7be3Ebh55c44hN47a/DfCCCAAAIIIIAAAggggAACCJhPIOjxSOG/v5WkPl2M0Dtl4ImyecHb5pssM0IAAdMJEHqbbkmcOyF188oNGzZIt27djJtXJiUlRRyE0DvipAyIAAIIIIAAAggggAACCCCAQMQEQsGgVK/Jk/QRA4zAW/XxXjFtqqjsgAMBBBDYkwCh956E+H7MBCoqKuTee+/VA29188qpU6dG5dqE3lFhZVAEEEAAAQQQQAABBBBAAAEEIiLgKSmWZddcbgTeib0TJHPSaeKtKI/I+AyCAAL2FyD0tv8aW6JCdfPKRYsWyUEHHSTq5pXdu3eXLVu2RGXuhN5RYWVQBBBAAAEEEEAAAQQQQAABBNot4K+pkfy5LzcE3qqP99C+Up6d1e6xGQABBJwjQOjtnLU2daVFRUUyZcoUfZf34YcfLi+++GLU5kvoHTVaBkYAAQQQQAABBBBAAAEEEEAgbIGgdk+vHclJolqZqJtWqg/Vx3vjG38Le0xORAABZwoQejtz3U1Xterlve+++8o+++wjJ598srjd7qjNkdA7arQMjAACCCCAAAIIIIAAAggggEBYAqpXd+3GjZIxdoQReCf1PU5yb72JPt5hiXISAs4WIPR29vqbpvry8nKZOXOmTJw4UTIzM6M6L0LvqPIyOAIIIIAAAggggAACCCCAAAJtFvCUlsqK26cagbfex3vCKaIe50AAAQTaKkDo3VYxnm95AUJvyy8hBSCAAAIIIIAAAggggAACCNhIIFBXJ1vefach8NbamqSe1FvKFqXbqEpKQQCBWAoQesdSm2uZQoDQ2xTLwCQQQAABBBBAAAEEEEAAAQQQkFAgIOVZSyRZ691t9PEecIJ+M0t4EEAAgXAFCL3DleM8ywoQelt26Zg4AggggAACCCCAAAIIIICAzQRc27bKkjNPNwJv1cd72Q3XSFALwzkQQACBcAUIvcOV4zzLChB6W3bpmDgCCCCAAAIIIIAAAggggICNBLwV5bJ61l+MwDuxd2fJGDdK3MVFNqqSUhBAIB4ChN7xUOeacRUg9I4rPxdHAAEEEEAAAQQQQAABBBBAQAJut2z7+1eiblhZ39YkdUgv2ZGchA4CCCDQbgFC73YTMoDVBAi9rbZizBcBBBBAAAEEEEAAAQQQQMBOAqFgUKpWrtRvVlkfeKcMOF7WP/+sncqkFgQQiKMAoXcc8bl0fAQIvePjzlURQAABBBBAAAEEEEAAAQQQUALuokLJufg8Y4e36uO99OrLJOj3A4QAAghERIDQOyKMDGIlAUJvK60Wc0UAAQQQQAABBBBAAAEEELCTgK+qStY9/YQReOt9vMeOENfWrXYqk1oQQCDOAoTecV4ALh97AULv2JtzRQQQQAABBBBAAAEEEEAAAQSCXq8U//C9qJ3d9W1NUgf3lOIffwAHAQQQiKgAoXdEORnMCgKE3lZYJeaIAAIIIIAAAggggAACCCBgJ4FQKCQ169ZJ+qjBRuCd3P94Wfvk43Yqk1oQQMAkAoTeJlkIphE7AULv2FlzJQQQQAABBBBAAAEEEEAAAQSUgKekRJbfeK0ReCf16SI5l10oAZ8PIAQQQCDiAoTeESdlQLMLEHqbfYWYHwIIIIAAAggggAACCCCAgJ0E/DU1svFvrxmBt+rjvWjMSVK7aZOdyqQWBBAwkQCht4kWg6nERoDQOzbOXAUBBBBAAAEEEEAAAQQQQACBoLaTuzQ1RZL7dzNCb9XHu/Dbb8BBAAEEoiZA6B01WgY2qwCht1lXhnkhgAACCCCAAAIIIIAAAgjYSUD18a7dtFEyThtlBN4q/M576AE7lUktCCBgQgFCbxMuClOKrgChd3R9GR0BBBBAAAEEEEAAAQQQQAABJeApLZUVf7zVCLxVH+/si6ZIwO0GCAEEEIiqAKF3VHkZ3IwChN5mXBXmhAACCCCAAAIIIIAAAgggYCcBf12dbHpnvhF4qz7e6aMGS8369XYqk1oQQMCkAoTeJl0YphU9AULv6NkyMgIIIIAAAggggAACCCCAAAJBv1/KMhZJ8oATjNA7dVAP2f73L8FBAAEEYiJA6B0TZi5iJgFCbzOtBnNBAAEEEEAAAQQQQAABBBCwk4Dq4123ZYtkjj/FCLyT+3WT1TPvtVOZ1IIAAiYXIPQ2+QIxvcgLEHpH3pQREUAAAQQQQAABBBBAAAEEEFAC3rIyWTljuhF4qz7eWeedJf7aWoAQQACBmAkQeseMmguZRYDQ2ywrwTwQQAABBBBAAAEEEEAAAQTsJBDQ+ngXfPi+qP7dib066R/pIwdK9erVdiqTWhBAwAIChN4WWCSmGFkBQu/IejIaAggggAACCCCAAAIIIIAAAqFAQMqzlkjKwO5G4J0yqLsUfPIROAgggEDMBQi9Y07OBeMtQOgd7xXg+ggggAACCCCAAAIIIIAAAnYTqNtaIIvPHGcE3sn9usqv99xltzKpBwEELCJA6G2RhWKakRMg9I6cJSMhgAACCCCAAAIIIIAAAggg4C0vl1X33mME3kl9EmTJ2WeIr7oaHAQQQCAuAoTecWHnovEUIPSOpz7XRgABBBBAAAEEEEAAAQQQsJNAwOWSrZ990qiPd9rw/lKZm2unMqkFAQQsJkDobbEFY7rtFyD0br8hIyCAAAIIIIAAAggggAACCCCg+nhXLFsqKYN7Gru8UwaeKFveWwAOAgggEFcBQu+48nPxeAgQesdDnWsigAACCCCAAAIIIIAAAgjYTcC1bZssOWeiEXirPt4rp99mtzKpBwEELChA6G3BRWPK7RMg9G6fH2cjgAACCCCAAAIIIIAAAggg4K2okLwHZhmBd2LvBFk8aZyoxzkQQACBeAsQesd7Bbh+zAUIvWNOzgURQAABBBBAAAEEEEAAAQRsJBBwu2Xb37/S+ngnGKF32rC+Up6dZaMqKQUBBKwsQOht5dVj7mEJEHqHxcZJCCCAAAIIIIAAAggggAACCIjq461uUpl6Um8j8FZ9vDe+8Td0EEAAAdMIEHqbZimYSKwECL1jJc11EEAAAQQQQAABBBBAAAEE7CbgLiyU7AvONgLvpL7HSe6tN0koFLJbqdSDAAIWFiD0tvDiMfXwBAi9w3PjLAQQQAABBBBAAAEEEEAAAWcL+CorZc2jDxuBt2pvkjnhVPGUljobhuoRQMB0AoTeplsSJhRtAULvaAszPgIIIIAAAggggAACCCCAgN0Egh6PFH7ztST1aejjrVqclGUsslup1IMAAjYQIPS2wSJSQtsECL3b5sWzEUAAAQQQQAABBBBAAAEEnC0QCgalavUqSRvez9jlnTLgBMn/6yvOhqF6BBAwrQCht2mXholFS4DQO1qyjIsAAggggAACCCCAAAIIIGBHAXdxkSy94mIj8FZ9vJffeK0EtZtaciCAAAJmFCD0NuOqMKeoChB6R5WXwRFAAAEEEEAAAQQQQAABBGwk4KuulvXPP2sE3om9O0vGuFGignAOBBBAwKwChN5mXRnmFTUBQu+o0TIwAggggAACCCCAAAIIIICAjQSCXq8UL/xR1M7uxF6d9I/UIb2kJCnRRlVSCgII2FGA0NuOq0pNLQoQerfIwzcRQAABBBBAAAEEEEAAAQQQkFAoJDXr10v66CFG4J0y4HhZ/9zT6CCAAAKmFyD0Nv0SMcFICxB6R1qU8RBAAAEEEEAAAQQQQAABBOwm4Ckp0ft21+/wVru9l151qQR9PruVSj0IIGBDAUJvGy4qJbUsQOjdsg/fRQABBBBAAAEEEEAAAQQQcLaAv6ZGNr7+qrHDW/XxXnTKMHEVbHE2DNUjgIBlBAi9LbNUTDRSAoTekZJkHAQQQAABBBBAAAEEEEAAAbsJqJ3cpSnJktyvmxF6pw7uKUXf/9tupVIPAgjYWIDQ28aLS2lNCxB6N+3CowgggAACCCCAAAIIIIAAAs4WUH28azdulIyxI43AO7n/8bLmsYedDUP1CCBgOQFCb8stGRNurwChd3sFOR8BBBBAAAEEEEAAAQQQQMCOAp7SUllx+1Qj8E7q00VyLj5PAh6PHculJgQQsLEAobeNF5fSmhYg9G7ahUcRQAABBBBAAAEEEEAAAQScKxCoq5PN775jBN6qj3f66CFSm5/vXBQqRwABywoQelt26Zh4uAKE3uHKcR4CCCCAAAIIIIAAAggggIAdBUJ+v5QtzpTkAScYoXfqoB6y/R9/t2O51IQAAg4QIPR2wCJTYmMBQu/GHnyFAAIIIIAAAggggAACCCDgbIG6rQWyeOJpRuCtbmK5etZfnI1C9QggYGkBQm9LLx+TD0eA0DscNc5BAAEEEEAAAQQQQAABBBCwo4C3vExW3XuPEXirPt5Z550lqt0JBwIIIGBVAUJvq64c8w5bgNA7bDpORAABBBBAAAEEEEAAAQQQsJFAwOWSrZ99Iqp/d2KvTvpH+siBUr16tY2qpBQEEHCiAKG3E1fd4TUTejv8BUD5CCCAAAIIIIAAAggggAACEgoEpGLZMkkZ3NMIvFMGdZeCjz9CBwEEELC8AKG35ZeQAtoqQOjdVjGejwACCCCAAAIIIIAAAgggYDcB1/ZtkjVlkhF4J/frKitn3GG3MqkHAQQcKkDo7dCFd3LZhN5OXn1qRwABBBBAAAEEEEAAAQQQ8FVWyJqHHzAC76Q+CbJ48gTxVVeDgwACCNhCgNDbFstIEW0RIPRuixbPRQABBBBAAAEEEEAAAQQQsJNA0OORwm+/ERV01/fxThvWTyqXL7NTmdSCAAIOFyD0dvgLwInlE3o7cdWpGQEEEEAAAQQQQAABBBBAIBQMSvXaNZI2fIAReKcMPFE2vz0fHAQQQMBWAoTetlpOimmNAKF3a5R4DgIIIIAAAggggAACCCCAgN0EPCUlsuy6q4zAO6nvcZJ7600SCoXsVir1IICAwwUIvR3+AnBi+YTeTlx1akYAAQQQQAABBBBAAAEEnC3gr62VjfNeNwLvxN6dJeP0MeLeUeJsGKpHAAFbChB623JZKaolAULvlnT4HgIIIIAAAggggAACCCCAgN0Egn6/lGUskuT+xxuhd+qQnlKSlGi3UqkHAQQQ0AUIvXkhOE6A0NtxS07BCCCAAAIIIIAAAggggICjBeoKCmTxxLFG4K3C77VPznG0CcUjgIC9BQi97b2+VNeEAKF3Eyg8hAACCCCAAAIIIIAAAgggYEsBb0W5rJ55rxF4J/XpIjmXnC8Br9eW9VIUAgggoAQIvXkdOE6A0NtxS07BCCCAAAIIIIAAAggggIAjBQJut2z7+1eS2Dvht9Bb6+OdPmqw1Kxf70gPikYAAecIEHo7Z62p9L8ChN68FBBAAAEEEEAAAQQQQAABBOwuEAoGpWrVKkkb1tfY5Z0yqLts/ewTu5dOfQgggAA7vXkNOE+A0Nt5a07FCCCAAAIIIIAAAggggIDTBNzFxbL0ykuNwDu5X1dZedd0pzFQLwIIOFSAnd4OXXgnl03o7eTVp3YEEEAAAQQQQAABBBBAwP4C/upqyZ/7khF4q/YmmZNOE29Fhf2Lp0IEEEBAEyD05mXgOAFCb8ctOQUjgAACCCCAAAIIIIAAAo4RCPp8UpqSLGpnd2KvTvpH6kl9pGxxpmMMKBQBBBAg9OY14DgBQm/HLTkFI4AAAggggAACCCCAAAKOEAiFQlK3ZYtkjhttBN4pA06QDS+/6Ij6KRIBBBCoFyD0rpfgs2MECL0ds9QUigACCCCAAAIIIIAAAgg4SsBbVia/3nOnEXgn9T1Oll59mQT9fkc5UCwCCCBA6M1rwHEChN6OW3IKRgABBBBAAAEEEEAAAQRsLxBwuWTr559KYu/Ov4Xe2udFJw8TV8EW29dOgQgggMCuAoTeu4rwte0FCL1tv8QUiAACCCCAAAIIIIAAAgg4SiAUDErVihWSOqSXscs7dXAPKfzma0c5UCwCCCBQL0DoXS/BZ8cIEHo7ZqkpFAEEEEAAAQQQQAABBBBwhIC7qFByLj7PCLyT+3WT1bP+4ojaKRIBBBBoSoDQuykVHrO1AKG3rZeX4hBAAAEEEEAAAQQQQAABRwn4qqpk/XPPGIF3Up8EyZoySfy1tY5yoFgEEEBgZwFC7501+G9HCBB6O2KZKRIBBBBAAAEEEEAAAQQQsL1A0OeTkl9+FnXDysRenfSPtOH9pDI31/a1UyACCCDQkgChd0s6fM+WAoTetlxWikIAAQQQQAABBBBAAAEEHCUQCoWkdmO+ZJw63Ai8UwaeKJveesNRDhSLAAIINCVA6N2UCo/ZWoDQ29bLS3EIIIAAAggggAACCCCAgCMEPKWlsuL2qUbgrXZ7L7/lBglqN7XkQAABBJwuQOjt9FeAA+sn9HbgolMyAggggAACCCCAAAIIIGAjgUBdnWx5b4EReCf27iwZ40aJu7jIRlVSCgIIIBC+AKF3+HacaVEBQm+LLhzTRgABBBBAAAEEEEAAAQQQ0AUqcrIlZWB3I/ROHdJT7+0NDwIIIIDAbwKE3rwSHCdA6O24JadgBBBAAAEEEEAAAQQQQMA2AqqX95KzzzAC7+T+x8vaJx+3TX0UggACCERCgNA7EoqMYSkBQm9LLReTRQABBBBAAAEEEEAAAQQQ+K+Ar7JC8l95yQi8k/p0kZxLzpeA14sRAggggMBOAoTeO2Hwn84QIPR2xjpTJQIIIIAAAggggAACCCBgJ4GgxyOF334jKuhO7NVJVB/v9FGDpWbDBjuVSS0IIIBARAQIvSPCyCBWEiD0ttJqMVcEEEAAAQQQQAABBBBAAIFQMCjVa/IkbXh/Y5d3yqAesu2Lz8FBAAEEEGhCgNC7CRQesrcAobe915fqEEAAAQQQQAABBBBAAAG7CXhKimXZNZcbgXdyv66y6p677FYm9SCAAAIREyD0jhglA1lFgNDbKivFPBFAAAEEEEAAAQQQQAABBPw1NZL/6lwj8FatTRZPniC+6mpwEEAAAQSaESD0bgaGh+0rQOht37WlMgQQQAABBBBAAAEEEEDATgJBn09KU1MkuV+3htC7d4JULM2xU5nUggACCERcgNA74qQMaHYBQm+zrxDzQwABBBBAAAEEEEAAAQQQCIVCUrd5s2SOG20E3ikDTpR1zzwJDgIIIIDAHgQIvfcAxLftJ0Dobb81pSIEEEAAAQQQQAABBBBAwG4C3rIyWXn3HUbgndT3OFl+03US1G5qyYEAAggg0LIAoXfLPnzXhgKE3jZcVEpCAAEEEEAAAQQQQAABBGwkEHC5pODTjyWxd+ffQm/tc8a4UeIuLrJRlZSCAAIIRE+A0Dt6toxsUgFCb5MuDNNCAAEEEEAAAQQQQAABBBCQUCAgFcuXS8rgnsYu79QhPaXk55/QQQABBBBopQChdyuheJp9BAi97bOWVIIAAggggAACCCCAAAII2E3AXVgo2RecbQTeyf2Pl7VPPGa3MqkHAQQQiKoAoXdUeRncjAKE3mZcFeaEAAIIIIAAAggggAACCCDgq6zUAu7HjcA7qU8XybnkfAl4veAggAACCLRBgNC7DVg81R4ChN72WEeqQAABBBBAAAEEEEAAAQTsJBDUgu3iH74XFXQn9uqk9/NOHzVYajZssFOZ1IIAAgjERIDQOybMXMRMAoTeZloN5oIAAggggAACCCCAAAIIIBAKhaRm/XpRIbceeGuhd8qg7rLt88/AQQABBBAIQ4DQOww0TrG2AKG3tdeP2SOAAAIIIIAAAggggAACdhPw7CiR5TdfbwTeyf26yqp77rJbmdSDAAIIxEyA0Dtm1FzILAKE3mZZCeaBAAIIIIAAAggggAACCCDgr62VjfNeNwLvxN4Jsvis8eKrrgYHAQQQQCBMAULvMOE4zboChN7WXTtmjgACCCCAAAIIIIAAAgjYSSDo80lpaook9+9mhN5pw/pKRU62ncqkFgQQQCDmAoTeMSfngvEWIPSO9wpwfQQQQAABBBBAAAEEEEAAAdXHu3ZjvmScOtwIvFMGnKjv+kYHAQQQQKB9AoTe7fPjbAsKEHpbcNGYMgIIIIAAAggggAACCCBgMwG9j/ctNxiBd1LfrpJ72y2iwnAOBBBAAIH2CRB6t8+Psy0oQOhtwUVjyggggAACCCCAAAIIIICAjQT8NTWy8fVXjcBb9fHOnHSaeMvLbFQlpSCAAALxEyD0jp89V46TAKF3nOC5LAIIIIAAAggggAACCCCAgKg+3iVJiZLcr6sReqs+3uXZWejEScDtC8l/VvrlgrluufEdt6zcFojTTLgsAghESoDQO1KSjGMZAUJvyywVE0UAAQQQQAABBBBAAAEEbCWgWpfU5G+QRScPMwLvlIEnyub5b9mqTisV4w+EJCM/IKMfcsnQ+1wyfJZLrn7DbaUSmCsCCDQhQOjdBAoP2VuA0Nve60t1CCCAAAIIIIAAAggggIBZBTwlJbL8xmuNwFvt9l4x7Tb6eMdpwVT79M1lQZnyklsPvOtD74tfJfSO05JwWQQiJkDoHTFKBrKKAKG3VVaKeSKAAAIIIIAAAggggAAC9hFQfbzz575sBN6qj/fis8aLr7LSPkVarJKy2pDc/ZnHCLxV6H3Koy75IttnsUqYLgII7CpA6L2rCF/bXoDQ2/ZLTIEIIIAAAggggAACCCCAgKkE9D7ev/zcuI/38H5SuXy5qebppMnUeUPy3iJfo8B71IMuuf8fHicxUCsCthUg9Lbt0lJYcwKE3s3J8DgCCCCAAAIIIIAAAggggECkBfQ+3uvWyaLRQ4xd3qqP95b3FkT6UozXSgHfLn2869uaXDnPLbUerecJBwIIWF6A0NvyS0gBbRUg9G6rGM9HAAEEEEAAAQQQQAABBBAIV8BTUizLrrvSCLxVH++Vd00PdzjOa6dAU328h2ltTSY+45Z1xcF2js7pCCBgFgFCb7OsBPOImQChd8youRACCCCAAAIIIIAAAggg4GgBX3W1bHjpBSPwTuqTIEvOPkPU4xzxEWiqj/epj7nk6+X++EyIqyKAQFQECL2jwsqgZhYg9Dbz6jA3BBBAAAEEEEAAAQQQQMAeAkGvV4oX/ihJfY8zQu/0EQOk6teV9ijQglU01cd79EMueeI7rwWrYcoIINCSAKF3Szp8z5YChN62XFaKQgABBBBAAAEEEEAAAQRMIxAKBqV67VpJHzXICLxTBnWXgo8/Ms0cnTaRpvp4j5jtkuvnu8Xjo4+3014P1Gt/AUJv+68xFe4iQOi9CwhfIoAAAggggAACCCCAAAIIRFTAXVwsS6++zAi8VR/vVX+aEdFrMFjrBZrs4z3TJZOfd8vmMvp4t16SZyJgHQFCb+usFTONkAChd4QgGQYBBBBAAAEEEEAAAQQQQGA3AdWve/3zzxqBt+rjnXXumeKvrd3tuTwQG4Gm+niPfdwlP+XRxzs2K8BVEIi9AKF37M25YpwFCL3jvABcHgEEEEAAAQQQQAABBBCwqYDex/uH/zTu4z1ykFTn5dm0YvOXpfp4v7vIJ0PvcxkfYx52yYsL6eNt/tVjhgiEL0DoHb4dZ1pUgNDbogvHtBFAAAEEEEAAAQQQQAABEwvofbzX5Im6WWVir076R8qgHrLti89NPGt7T63JPt73u+TW9z2ivseBAAL2FSD0tu/aUlkzAoTezcDwMAIIIIAAAggggAACCCCAQNgC7uIiWXrFxUbgndyvm6yeeW/Y43Fi+wSa6+M95SW3FFXSx7t9upyNgPkFCL3Nv0bMMMIChN4RBmU4BBBAAAEEEEAAAQQQQMDhAr6qKln39BNG4J3Up4tkX3COBOrqHC4Tv/Kb6uN92hyXpG+gj3f8VoUrIxA7AULv2FlzJZMIEHqbZCGYBgIIIIAAAggggAACCCBgA4GgxyOF33wtKujW25r07izpowdLzfp1NqjOmiU018d7XjJ9vK25oswagbYLEHq33YwzLC5A6G3xBWT6CCCAAAIIIIAAAggggIBJBFQf76qVKyRtaF9jl3fq4B6y/V//NMkMnTeNpvp4j9T6eN/xsUeCQfp4O+8VQcVOFSD0durKO7huQm8HLz6lI4AAAggggAACCCCAAAIRFHBt3y5Z5082Au/k/t1kzSMPRfAKDNUWAdXHe0tZUFTf7qH3ufSP4bNccuFf3aLanXAggIBzBAi9nbPWVPpfAUJvXgoIIIAAAggggAACCCCAAALtFfBWVEje/TONwFu1N8m57EIJeGmh0V7bcM9XwfZfvvAYgbcKvk9/0iVLtwTCHZLzEEDAogKE3hZdOKYdvgChd/h2nIkAAggggAACCCCAAAIIICAScLlk6+efSmLvBKOP96JThourYAs8cRJweUPy6RJfo8D75Edc8t4iX5xmxGURQCCeAoTe8dTn2nERIPSOCzsXRQABBBBAAAEEEEAAAQRsIRAKBKQ8O0tSBvUwdnmnDuklJT//ZIv6rFhEQOvVvawgIKdoIXd9W5ORD7jkns88ElI9TzgQQMBxAoTejltyCib05jWAAAIIIIAAAggggAACCCAQjoAKUOu03dyLJ55mBN4pA06QDS8+H85wnBMhge2VQbnktd37eJfXEXhHiJhhELCcAKG35ZaMCbdXgNC7vYKcjwACCCCAAAIIIIAAAgg4U8BbViYr75puBN5JfY+T5TdeK0Ft9zdHfAQqXSF57BuvscNb7+P9hEuyN7Mm8VkRroqAOQQIvc2xDswihgKE3jHE5lIIIIAAAggggAACCCCAgE0E/HV1smnB20bgrfp5Z044Rdw7SmxSofXK8PhC8s1yvwyf1dDWRPXxnp9KH2/rrSYzRiCyAoTekfVkNAsIEHpbYJGYIgIIIIAAAggggAACCCBgIoGg3y+laWmS3P94I/ROHdpHyhZnmmiWzppKUGs1s2p7QMZpu7qNPt73u+SOjz0S1Hp8cyCAgLMFCL2dvf6OrJ7Q25HLTtEIIIAAAggggAACCCCAQFgCqo937cZ8yRg7wgi8UwaeKJveeiOs8TgpMgLF1UG5bn5DH+9hM11y3ituKa0JRuYCjIIAApYWIPS29PIx+XAECL3DUeMcBBBAAAEEEEAAAQQQQMCZAh6tfcnym683Au/kfl1lxbTbRIXhHPERqHaH5MWFjft4qx3fmRvp4x2fFeGqCJhPgNDbfGvCjKIsQOgdZWCGRwABBBBAAAEEEEAAAQRsIuCvqZH8uS8bgXdSnwRZPHmC+KqqbFKh9crw+kPyc55fRsxuaGsy5mGX/C3Za71imDECCERNgNA7arQMbFYBQm+zrgzzQgABBBBAAAEEEEAAAQTMIxD0eqV44Y+idnYn9uqkf6SPGCBVv640zyQdNhPVx3t9SVAmPtPQ1mSk1sf7jx94JEAfb4e9GigXgZYFCL1b9uG7NhQg9LbholISAggggAACCCCAAAIIIBBBgVAwKNVr1kj6yEFG4J0yqLts/eyTCF6FodoqsEPr1337hx7jxpWqj/eUl9xSXEUf77Za8nwE7C5A6G33Faa+3QQIvXcj4QEEEEAAAQQQQAABBBBAAIGdBNzFRbL0iouNwDu5XzdZPfPenZ7Bf8ZaoNYTkrdSfEbgPfQ+l5z2uEtS1/ljPRWuhwACFhAg9LbAIjHFyAoQekfWk9EQQAABBBBAAAEEEEAAATsJqH7da5+cYwTeSX26SPZFUyTgctmpTEvV4guEJH2DX0Y92LiP99yf6eNtqYVksgjEUIDQO4bYXMocAoTe5lgHZoEAAggggAACCCCAAAIImE0g6PFI4df/EhV06328e3eWRWNOktr8fLNN1THz0dp4y+ayoN7GRO3uVh8jtD7ef3jPIyoM50AAAQSaEiD0bkqFx2wtQOht6+WlOAQQQAABBBBAAAEEEEAgLIFQICBVK3Il9aTexi7v1ME9pfDf34U1HidFRqCsNiR//qJxH++zX3TL9kr6eEdGmFEQsKcAobc915WqWhAg9G4Bh28hgAACCCCAAAIIIIAAAg4VcBcWStZ5k43AO7n/8bL2icccqmGOsuu8Ifl4ceM+3mO1Pt6/rKGPtzlWiFkgYF4BQm/zrg0zi5IAoXeUYBkWAQQQQAABBBBAAAEEELCogLeiQvIemGUE3kl9j5OlV18mQZ/PohVZf9qBYEiWbgnIyY/s1Mf7IZe88CN9vK2/ulSAQPQFCL2jb8wVTCZA6G2yBWE6CCCAAAIIIIAAAggggEAcBQJut2z78gtJ7J1g9PHOGDtSXNu2xXFWXFq1L7nkNbfew1vv4z3bJTcvcIvPTx9vXh0IILBnAULvPRvxDJsJEHrbbEEpBwEEEEAAAQQQQAABBBAIU0D18a5YtlRStN7d+o0re3WS1CG9pCQpMcwROS0SApWukDz2jdcIvIfNdMlZz7llSzl9vCPhyxgIOEGA0NsJq0yNjQQIvRtx8AUCCCCAAAIIIIAAAggg4FgBtZt7ydkTjMA7ZcAJsuGlFxzrYYbCPb6QfLPcL8NnNbQ1UX28f1hFH28zrA9zQMAqAoTeVlkp5hkxAULviFEyEAIIIIAAAggggAACCCBgWQFvebms/sufjMBb9fFedsM1EtR2f3PERyAYCsnqwoCMe6Ih8B6t9fF++j/08Y7PinBVBKwrQOht3bVj5mEKEHqHCcdpCCCAAAIIIIAAAggggIBNBAIulxR88rHWx7tzQx/v08eIu6TYJhVas4zi6qBc/3bjPt7XveUWtfubAwEEEGiLAKF3W7R4ri0ECL1tsYwUgQACCCCAAAIIIIAAAgiEJaD6eJdnZ0nKoO7GLu/Uk3pLWXp6WONxUmQEqt0heWnhTn2873PJpGfdkr+DPt6REWYUBJwlQOjtrPWmWk2A0JuXAQIIIIAAAggggAACCCDgTIGQ1j6jrmCLLJ54mhF4qz7e+a/91ZkgJqna5w/JL2v8MmJ2Q1uTUx9zyTe59PE2yRIxDQQsJ0DobbklY8LtFSD0bq8g5yOAAAIIIIAAAggggAAC1hTwlpXJyrvvMAJv1cc79w83SjDIbuJ4raj2ewjZoO3mVru6h2q7u9XH6Add8ujX9PGO15pwXQTsIEDobYdVpIY2CRB6t4mLJyOAAAIIIIAAAggggAACthAI1NXJlvcWGIF3Yu8EyZw4VlQQzhE/gR01QZn2occIvNVu76vecIvLSx/v+K0KV0bA+gKE3tZfQypoowChdxvBeDoCCCCAAAIIIIAAAgggYHGBkN8vZZkZkqy1Mkns1Un/SBvaV8qzlli8MmtPv9YTknfSfEbgPUzb5T3xGbesK2bnvbVXltkjEH8BQu/4rwEziLEAoXeMwbkcAggggAACCCCAAAIIIBBHAb2P9+bNknn6GCPwThl4omx+6804zopL+wMhycgPyOiHGvfx/mqpDxwEEECg3QKE3u0mZACrCRB6W23FmC8CCCCAAAIIIIAAAgggEL6Ap7RUVky7zQi8k/t11b6eKioM54iPgKIvKA/Kea809PEepfXxvv8fnvhMiKsigIDtBAi9bbekFLQnAULvPQnxfQQQQAABBBBAAAEEEEDAHgL+2lrZNP8tI/BWfbwXnzVefJWV9ijQolWU14Vk1lcNfbyHz3LJ5X9zS42bX0RYdEmZNgKmEyD0Nt2SMKFoCxB6R1uY8RFAAAEEEEAAAQQQQACB+AsEtT7epWmpktz/eCP0ThveXyqXL4//5Bw8A3WDyi+yfTJs5m9tTVQf7wlPu2TV9oCDVSgdAQQiLUDoHWlRxjO9AKG36ZeICSKAAAIIIIAAAggggAAC7RJQrUtqN+ZLxtgRRuCdMrC7bPngvXaNy8ntEwgEQ5K7NSCnPtbQx/uUR13y8WL6eLdPlrMRQGBXAULvXUX42vYChN62X2IKRAABBBBAAAEEEEAAAYcLeHbskNw/3GgE3qqP96933+lwlfiXX1gZlMvn7dTH+wGX/OUL+njHf2WYAQL2EyD0tt+aUtEeBAi99wDEtxFAAAEEEEAAAQQQQAABCwv4a2pk4+uvGoF3Up8EyZoySXza4xzxE6h0heSJ77wyVGtnoj5UH++LX3OLepwDAQQQiLQAoXekRRnP9AKE3qZfIiaIAAIIIIAAAggggAACCIQlEPT5pCTxF1E7uxN7ddI/0kcOlKpVq8Iaj5MiI+DxheTbXL8edNeH3uOfdMmyAvp4R0aYURBAYFcBQu9dRfja9gKE3rZfYgpEAAEEEEAAAQQQQAABBwqoPt4169ZJ+ughRuCdMqi7bP38UwdqmKfkoLYu6iaV455o6ON98iMueXcRfbzNs0rMBAH7CRB6229NqWgPAoTeewDi2wgggAACCCCAAAIIIICABQXcxcWy9OrLjMA7uV83WT3zXgtWYq8pF1cH5dq3Gvp4j9T6eM/41CPqlxQcCCCAQLQECL2jJcu4phUg9Dbt0jAxBBBAAAEEEEAAAQQQQCAsAV9Vlax/9ikj8E7q00WyL5oiAZcrrPE4KTICVVq/7ud+aNzH+8K/uqWslsA7MsKMggACzQkQejcnw+O2FSD0tu3SUhgCCCCAAAIIIIAAAgg4UCDo8Ujhd9+KCrr1Pt69O8uiMSdJ7cZ8B2qYp2SvPyQ//Nq4j7dqcZK1iT7e5lklZoKAfQUIve27tlTWjAChdzMwPIwAAggggAACCCCAAAIIWEwgFAxK1a8rJW1YX2OXd+rgnlL0n+8sVom9pqv6eK8pCoi6WWX9jStVH+83U+jjba+VphoEzCtA6G3etWFmURIg9I4SLMMigAACCCCAAAIIIIAAAjEWcBcWSvYFZxuBd3L/42Xtk3NiPAsut6tAidbH+6Z3durjfb9Lpn/kkUCQtia7WvE1AghER4DQOzqujGpiAUJvEy8OU0MAAQQQQAABBBBAAAEEWingraiQvAdmGYF3Ut/jZNk1l0vQx27iVhJG5WnV7pC8/FNDH+9hM11y3stuUUE4BwIIIBArAULvWElzHdMIEHqbZimYCAIIIIAAAggggAACCCAQloC6QeXWzz+VxN4JRh/vjHGjRO385oifgOrj/XOeX0bMbmhrctocl6Rv8MdvUlwZAQQcKUDo7chld3bRhN7OXn+qRwABBBBAAAEEEEAAAWsLhAIBKc/OkpRBPYxd3qkn9ZbStFRrF2bx2as+3utLgjLxmYa2JmMedsmriV6LV8b0EUDAigKE3lZcNebcLgFC73bxcTICCCCAAAIIIIAAAgggEDeBkBas1hVskcUTTzMC75QBJ0j+a3+N25y48G8CJTVBmfq+x7hx5Uitj7f62h+gjzevEQQQiL0AoXfszblinAUIveO8AFweAWFPfkoAAEAASURBVAQQQAABBBBAAAEEEAhTwFtWKivvnGYE3qqPd+7UmyUYpF90mKQROa3GE5LXkxr38T7nRbcUVrIuEQFmEAQQaLMAoXebyTjB6gKE3lZfQeaPAAIIIIAAAggggAACThTw19XJpnfmG4G36ue9eNI48VaUO5HDNDX7tD7eyWv9MvKBhj7eYx93SZL2GAcCCCAQLwFC73jJc924CRB6x42eCyOAAAIIIIAAAggggAACYQkEfT4pTU2V5P7HG6F32vD+Url8WVjjcVJkBLRuM5K/IyhnPte4j/eLC+njHRlhRkEAgXAFCL3DleM8ywoQelt26Zg4AggggAACCCCAAAIIOFBA9fGuyd8gGaeOMALvlIHdZcsH7ztQw1wll2p9vKd/1NDHe8Rsl9y8wC1q9zcHAgggEE8BQu946nPtuAgQeseFnYsigAACCCCAAAIIIIAAAmEJeHaUyPKbrjUC7+R+XWXVn2aENRYnRU6gVuvjPT/VZ9y4cthMl0x+3i0F5fTxjpwyIyGAQLgChN7hynGeZQUIvS27dEwcAQQQQAABBBBAAAEEHCbgq66WDa+8aATeSX26SPZ5k8VfW+swCXOV6wuEJG29X0Y92LiP94+r6ONtrpViNgg4V4DQ27lr79jKCb0du/QUbmOBQCAg69atk9tvv10mTJggs2fPlrKyMhtXTGkIIIAAAggggID9BYJerxT/+IMk9T3ut9C7d2dJHz1Yatavs3/xJq5Q9fHeVBqUc15s6OM9+iGXPP0f+nibeNmYGgKOEyD0dtySUzChN68BBMwrEAoGxVdTI67C7VK7fr12Y6LlUrYoXUoW/iiF//qnFHz8kWya/6ZsmPuSrHvqCcl76H7Jve/P8vbll8qRBx0ke+21l/6xb8eOckqXBMn5w42Se8sNsvzGa2X5Ddfo/73ij3+QlXdO0/8kdvWsv8iaxx7Wdg+9JJsXvCPb//6V7PjlZ6lYmiOu7dtE3TCJAwEEEEAAAQQQQCD2Aup9YdWqVZI2fICxyzt1cA/Z/vW/Yj8ZrthIoKw2JHd/1riP93Xz3eLx0ce7ERRfIIBAXAUIvePKz8XjIUDoHQ91rulkgZC2C9uthdjlOdlS9N03emi9ds6jsvKO22XplZfKkrMnyKKTh0rK4J6i/lw1sVenVn8s7Pl/8nLnI+R/OvwWdteH3uqzemz20Ye2eqwmr9s7QVKH9JLM8SdLzhUXy6933yH5c1+Wwu++leq1ayTg8Th5aakdAQQQQAABBBCImoBr+3bJOn+y8V4uuf/x+maFqF2QgVslUOcNyfsZO/Xxvs8lZz7rlo3azm8OBBBAwEwChN5mWg3mEhMBQu+YMHMRBwmoXTgerZVIWWaGFHz0oax9co6suP1WydJ6LaaPHNjw56htCLObDKB3Of9n7es3uhwpv28i8Fah977ax8h9Oxo/KLVmzLY+J6lPgqSPGCA5l14geQ/O1naifyiVucsl4HI56BVAqQgggAACCCCAQGQFvOXlsuree4z3caq9idosEeCv8CIL3cbR/MGQZG0KyBitlclQLexWH6c+5pKvl9PHu42UPB0BBGIgQOgdA2QuYS4BQm9zrQezsY6A2tVctXq1bNNagKjWIrk3Xy+ZZ4yVlIHdjR9I2hoah/v8X7TA+6NuR8sJe3cwWprsvMu7/r9/36GDfHr80TGfn9qxnjF2hOROvVnyX/urlKaliq+y0jqLzUwRQAABBBBAAIE4Cfjr6mTTgrclUevfrb9X1D5nnj5G+8vBwjjNiMsqAdW4ZGtFUC6Yu1Mfb+0mlo98TR9vXiEIIGBOAUJvc64Ls4qiAKF3FHEZ2hYCQb9fajdskO3//IeoNiRLr7lCaz8yLGo7tvcYfGstRpL7d9PajPTUd45njB0p/xk3Rk499ugWA28VfB924IHyyFmTZPX9M/Wd2KqHt9o1tHLGHbJy+m2Se+vNsuzaKyX7gnNksRbgLxo95Lc2K/U3S9pld/ke59rC81UQnnnaKPn1rulS8OH7enuUoLZLngMBBBBAAAEEEEDgNwF1P5WSpET9vV/9+660oX2lfMliiOIsUF4Xkvv/0dDHe/gsl1w5zy11Hvp4x3lpuDwCCDQjQOjdDAwP21eA0Nu+a0tlbRMIabdd92ttOCqys2TTW29qN3e8XRZPOk37IeP46OyM1nbpJA88UTJOGab1Zzxblms3mVQh9PrnnpFNb78l2//xd9mh/ZBTuSJX6jZvFk/pDgm43bsVVVFRIbNmzdpj4K1C7/3220/OOuus3cbY0wOqZYu3vEwqV66UYu0mmls+eE/WPfOUrJh2m2RNOVPUD1/G7qMWgu76H9aa/Kx5qH7hy2+6Vja987bUaDfu5EAAAQQQQAABBJwqoN+4Mi9P0kcNMt6Lqr8oVO/DOOIr4NJuUPlljk+Gzfytpckwra3JGU+7ZE1hIL4T4+oIIIBACwKE3i3g8C17ChB623NdqWrPAqo9ScWyZVrA/Yas1MJb9Weiqj9ik4FsGEGu2smsenhnXXC21tN7qqx9ao5s0XY070hOktqNG5sMsPc868bPcGkh/ccffywdO3bcLfQ+9NBD5dJLL5W999670fcSEhJkfYQDZf0XBtqf3lb9ulJv97L2icf0HePqhpxtvRmn4a/taFf9wVdqO8GL/vOd+GtrGxfPVwgggAACCCCAgI0F3EWFkn3RucZ70+R+3fQNEjYu2RKlBbQ+3rlbA3rv7vo+3qc86pIvsn2WmD+TRAAB5woQejt37R1bOaG3Y5feUYWHAgGt7+F22f6vf0reA7NkyTkTG/2ZqBG0tjXc1oLZtGH9tB9IpsiqP98tG//2mhT/8L2+SzngjW4/P7/WdiUzM1OOOuqoRqG22tH9u9/9Th588EHJz8+X3//+942+r773wAMPxGT9jd3zOdna7vX5WoA9TTInjpXkfl2NH+Baa6923C+94hLZ/M58cW0tiMn8uQgCCCCAAAIIIBAPAW9FueTNvs94v6Q2EeRcdqGoTRsc8RUorAzK5X9r6OM96gGXzPqKdYnvqnB1BBBojQChd2uUeI6tBAi9bbWcFPNfgZAWCKv2GFveWyC5t90i6Vpv6taGq00+T+061nZtL73yEln76MOy9dNPtF3iS8VXUxMXcxUmb9myRYYNG9Yo0K4PvOtDbfWcE088cbfndO3aVdasWROXuauLqh/YyrU2Mhu1m1ouu+EaSRs+oE3rk9S3iyw5+wzZ+PqreuuXuBXChRFAAAEEEEAAgQgLBLS/ntvy/rsNreO0FnAZ2n1QXNu2RfhKDNdWgUpXSOZ865X6Hd6qj/elr7ul2k0f77Za8nwEEIi9AKF37M25YpwFCL3jvABcPiIC6iY/1atX6Tutl113paQO7dOmEHXnoFvdJHLJWeNl1Z9maLuK35byxZniq6qKyDwjNUhpaalMnTp1tzBbtTT585//LCoUV8dmrRf4CSecsNvzVG/vM888U9xN9AiP1BzbMo7aia/6lqtfUiy/6bo2rZ/a+bRk8gTJ1wJwdoC3RZ3nIoAAAggggIDZBNR72tLUlEb3lFHva8sWpZttqo6bj0fr4/1trl9U0F0feo9/yqW3OnEcBgUjgIAlBQi9LblsTLo9AoTe7dHj3HgJ/LaTe51smv+WLNd2Cqee1DuskFu1zMiaMklWa38+uvWzT6Rau1lQUNslbuajTtv9M3/+fOnQoUOjMPuQQw6R6dOnS1C76WT9sVHrHX7kkUc2ep7aDa4+Dj74YLn11lsbPb/+vHh/Vj/wqf7g6194TtvRPUHrC57QqvVVPdlVqxl1gyd1400OBBBAAAEEEEDAKgLqxpU169bKojEnGe97UrSbnm9e8LZVSrDtPIPahpLV2k0qxz3REHif/IhL3s+gj7dtF53CELChAKG3DReVkloWIPRu2YfvmkNA/RDgLimRbZ9/Jiv++AetHUZ/44eBnXdpt/TfakdwxtiRsnL6bfoPD1UrVogKV610qD7eqamp8j//8z+NguwDDzxQrrrqKvHtUs+6det2u5FlfeitPqud4ffcc48pg+/6ddHXvrhID7KXXn1Zo51PLa232rG/7PqrpfCbr+l/WY/JZwQQQAABBBAwrYBbe7+Tc/lFxntcdQ+UVffeY9r5OmlixdVBuW5+Qx/vkVof73s+8xh/XekkC2pFAAHrChB6W3ftmHmYAoTeYcJxWtQFAlrrDfXnnWsefUgWTzxN62vYut2+9UGoCj2zzj1TO/9hKf7xB8vv/FUtSzZs2CD9+/dvFHirViWTJ0+W2traRmsS0FqGZGdnN3rurrvDVfCtdohPmzZtt8C80WAm+UIZqFYz2776QpZdd1XrAnCtD2bqkN6y6i9/kvKsJfxwYpK1ZBoIIIAAAggg0CDgq6yQNQ8/YATe+o0rLz5PAi5Xw5P4r7gIqH7dLy5s3Mf7wr+6pbyOPt5xWRAuigACYQsQeodNx4lWFSD0turK2W/e9Tef3Djvdcm54mJJHnCC8ca/Pshu9rMWbKYM7C5Lr7hENsx9SQ83A16vrZCKiork3HPPbRRid+zYUb+ZZWFh4W61ql3fP/74o/H8/fffXwYMGGB8vfOOb7VT/IorrpCaON2Yc7fJt+IBPQCvrJRtX34uS6+5QtRuqGZfH7066d9TbVIyThspG15+Uev/vbUVV+EpCCCAAAIIIIBAdAVUsF3w8UcNGzzUjSvHjpA67YbkHPEV8PpDsnC1X0bMbmhrolqcZG0KxHdiXB0BBBAIQ4DQOww0TrG2AKG3tdfPyrNXoaW3okK2/+ufsvLOaZI+avAeQ0sj1FQh96Aeskxrd7Hx1blSuWyp6Xtxt2etKjSne++9d7fAulOnTpKe3vSNjdRNKj/77DPjHNUS5Y477tDD7Z0D7/r/rr+5ZXFxcXumGpdz1WvJU7pDu/HofMk676yGHxr/G3Ybr5udvk7q21WWXnmpFGqvP/VXBRwIIIAAAggggECsBdS9ZErT0xpt9lD3qilNSY71VLjeLgKqj/e64qCc8XRD4K36eL+ZYq32iLuUxZcIIOBgAUJvBy++U0sn9HbqysenbvXGvnpNnmx45UXJOn+yqBsPNhVINvWYaleSrf2Zp9qlW7k0R4Ja+w4nHOrGlQsWLNjtxpWHHXaYPPvss80SqHYn8+bNM0LvI444QubOnSvq3/yZZ55pPF4feqvP++yzj4waNUry8/ObHdfs3whpr4ta7Qae6597Wu/h3tRrqdFjqv2J9sNl3v0zpWrVKrOXx/wQQAABBBBAwCYC6pf2NRvWS8apw433w+rGlZvenGeTCq1dRklNUKa+75Gh9/0Weo+83yXTPvRIIEhbE2uvLLNHwLkChN7OXXvHVk7o7dilj1nhfu1PNkt+/klW/WmGpI8eYrypbxQ87rQDt/7xpL5dZPGZp8uaxx+RHdpuFyf2NFQtShITE+V3v/tdo5BatSq58MILRd3YsrmjSut9/eSTTxrnHXXUUfLhhx/qPa23aq09VB/wnQPv+v9WLVNU3/Dc3NzmhrbM40GtxU354kz5dcYdkjK45x5fe+qXMFkXnCPb/v4lN7+0zCozUQQQQAABBKwp4Nb+uk7dpLv+va9q1fbr3XdasxibzbrGE5K/JTf08R420yXnvuyWEu2GlhwIIICAVQUIva26csw7bAFC77DpOLEZgfq2JVu1XsvLb7pOa0PS3XgzX/+mvqnPer/lU4brd6kv+vYbrfVJeTNXcMbDwWBQ8vLypEePHo3CaRVKDxo0SLZv394ixK4tUY455hj57rvv9HPUGqnzp0yZ0mjs+uB77733lt69e9si+K5H8mn9yrd99aXkXHqBqJtDNfUaNB7Tdn+nDesna+c8Jq4C+mnWG/IZAQQQQAABBCIj4NPuS7J2zqPG+xH13iT7wini3+XG5JG5GqO0RcAXCEnKOr+MfKChrclpc1yStr75zSZtGZ/nIoAAAvESIPSOlzzXjZsAoXfc6G114d96KpfKlvff1UPF1txUMFG1lRjSS5bfcoN+8x7X1gJbmbS3GBVKT5o0abdQWvXxTk7ec5/H0tJSufnmm43z/+///k8yMjIaTUvdAPOiiy4ynlMfeqvP9cH3ihUrGp1j9S/09iebN8u6Z56SRScPM37YNALvXf7qQLXVWTltqlQuX2b10pk/AggggAACCJhAQP314tbPP224B4n2nli9J1Ht2TjiK6DtC5FNpUGZ/LzbaGsy5mGXzP3ZG9+JcXUEEEAgAgKE3hFAZAhrCRB6W2u9zDRbfUd3ebls/fhDybn8YmlN0K23jzhnot5vuTwn2zF9udu6buWa64wZM3YLow8//HB5+eWXWzWcuiHlzoF2QkKCrF27drdzS0pK5Oqrr97tWvXBt2p1smHDht3Os8MDQY9HdiQnSe7N1+/x9ateu2qXeMnCH0XtwudAAAEEEEAAAQTaKhDSWtOVZWZIysCGv4RUm0BKEn9p61A8PwoCZbUhufuzhj7eI7Q+3n94zyNq9zcHAgggYHUBQm+rryDzb7MAoXebyRx/QsDtlqL//FuWXX/VHoNCtZtb9VLO/cNNWmuJL8RbXuZ4vz0BqBtQvvHGG7vduPKggw7Sd263NnBVO8XHjRtnhNldu3aVHTt2NHl59fgNN9xgPHfnHd/77ruvjB07Vqqrq5s81w4PhrQQ27V9m/bLmGf22Hde/fnxkrPPkOIff7BD6dSAAAIIIIAAAjESUBtGarWbhWeMHWn8pVnKgBMk//VXYzQDLtOSgMsbkk8W+4wd3qqP99kvumVbJZsdWnLjewggYB0BQm/rrBUzjZAAoXeEIG0+jNqVUr0mT/Ieul/Shvcz3qg32RKid4L2J5pD9eeWpqVKULsZI0frBLzajRe///57OeSQQxoF0Pvtt5+cccYZUqP1pW7toW5WqXp/1wfYJ5xwQos3vlQ7vq+88krj+fXnqc9qPtOnT2/tpS39PP2XOv/+TnIuOV/7s+POzb7WVfiddf5kKUlKtHS9TB4BBBBAAAEEYiPg0d5rLbvuKuO9hforyRV33K7fZDw2M+AqzQkEgiFZXhCQUx5p6OM99nGXLFxNH+/mzHgcAQSsJ0Dobb01Y8btFCD0biegjU9Xu1F8VVWy5YP3ZInWkqTlAFALuk8drt/4rzI318Yq0SvNp/1yIDU1VY499thGwbPqra1ajGzatKlNF9+s9a0+7rjj9LHUGCoA39NRVFTUqCXKzsG3mtfChQv3NIRtvq9+WVO5bKnk3nqzqNYmTf6CR+v/rbc9uexCKc9aYpvaKQQBBBBAAAEEIiug3lOvfWqO8X5Cv3HleZNF3WibI/4CRVVBuWJeQx/v0Q+55Inv6OMd/5VhBgggEEkBQu9IajKWJQQIvS2xTDGdpLrRX7XW+zlv9n36jSabC/sS/7uje92Tc6Rqpb1udhhTcO1ifm0nvbrJZOfOnRsF3h06dBC1Qzs7O7vNU8rX/nz20EMP1cdTLUrGjx+/xzHULzoKCgrktNNOazQPFX4ffPDBctttt+1xDLs9Qb/xpXZjqdXav4fkgScaP6zu+u8iuV83WfWnGeIuKbYbAfUggAACCCCAQDsE1F+RbfvqS0nqk/Db+wj9xpVD9VYn7RiWUyMkUOUKyTPfe422JsNnueTKN9yi2p1wIIAAAnYSIPS202pSS6sECL1bxeSIJ6k7yW//+l/6zfpUoL1rqFf/tbrxzq93TpPStDRu6BeBV0ZA+yXD0qVLpVu3brsFzSoE/+WXX9p8FRVe5+XlGeMdcMABcvHFF7dqHNUzPFfbrd+pUyfj/PoWJ3feeWerxrDjk/S+39u2yer7Z0py/+Ob/veh/RCbNqyvbHp7vgS1X2RwIIAAAggggICzBdQvz9Vfg6UM6mG8d9BvXPmTc/56zsyvAK8/pLcwUUH30PtcMkz7mPC0S1ZvD5h52swNAQQQCEuA0DssNk6ysgCht5VXr/1zV+Gop6xU8ue+3OIN/FQLh+wLzpGtn37Mn2G2n73RCKqlyJQpUxoFzCpkPuaYY+Qf//hHo+e29gsVpC9atMgYU90E85Zbbmnt6eLSfgHy0UcfyT777GOMkZCQIJmZma0ew65PVOF3rdZq5td77mr2Rq56v2+tJZBqj8KBAAIIIIAAAs4UUO+z67T3DJmnjzECb/3Gldr7bo74C2jLIxt2BGXiMw1tTU551CUfZnI/ovivDjNAAIFoCBB6R0OVMU0tQOht6uWJ2uRUcOfevk2/2WTKoO7GG/H63dz6Z23XqtqJkvfgbP0mllGbjMMH3rJli/Ts2dMIl1XgfdRRR8kHH3wQtoy6IeZ3331njKnanNx7771tGs+t/SnuDz/8IDfffLPMmDFDcnJy2nS+3Z+stwFas0aW33x9s/3uUwacKOuee0YC2npwIIAAAggggICzBDw7SmT5TdcZ77P1G1dOm8qNK03yMiitCcodH3mMtiYjH3DJjE89rI9J1odpIIBA5AUIvSNvyogmFyD0NvkCRXh6RouGB2ZJ8oATjDfhO4fdapfqkrPPkK2ffCz+2toIz4DhdhUoKyuT6dOnGwH10Ucfre+y3vV5bfla7dT+8MMPjTEPO+wweeqpp9oyBM9tpUDQ45HiH3+QzHGjm//3pHZ9c4PXVoryNAQQQAABBKwvoG5cuV77xXf9e2zVzztryiTxVVdbvzgbVFCn9et+P8NnBN7DZrrkvJfdooJwDgQQQMCuAoTedl1Z6mpWgNC7WRpbfUP9eaW3vEzWPfOU1lOw6Z3dqk/xyjv+SEuGOKx8lfaD0euvvy6zZ8+OSAuRmpoamTt3rhF6H3nkkTJv3rw4VOacS3rVD7cvPt/sL5NStJtg5s99SYJa6xkOBBBAAAEEELCvQED7hfj2f/1Tu3Fll99Cb3XjytFDpGb9OvsWbaHK/MGQZG8OyJiHfuvjrXp5j33cJanruB+LhZaRqSKAQBgChN5hoHGKtQUIva29fq2Zvdqtvemd+ZI2fICx26R+10mi9iY8ZXBPWTPnMXFpN+njsIdAZWWlPPLII0bo/fvf/14+//xzexRn4irqW57kXHrB7v/WenUS1Rt/6VWX8W/NxGvI1BBAAAEEEGiPgHovUJGTrb+/rn+/naq91y7+4fv2DMu5ERTYXhmUi19t6OM95mGXvLiQVnQRJGYoBBAwqQCht0kXhmlFT4DQO3q28R45oPVkLtR2mTTZduG//brXPfOkeLX2Ghz2EigvL5e77rrLCL2PPfZYWbhwob2KNHE1fm2n/aY3/tb0rm99t9dgKV74o4krYGoIIIAAAggg0FYB/caVmzdL5oRTjV9+qxtXbnjphbYOxfOjJFDpCsnj33qNtiYjZrvk+vlu8fq1u1pyIIAAAjYXIPS2+QJT3u4ChN67m1j9kaDPJ2UZiyT7grONN9z1O03UZ9XLO+/hB8S9Y4fVS2X+zQjs0Nb2uuuuM0LvTp06cSPKZqyi9bDa6VW5cmXz/w61dkJrHn9EAtq/Vw4EEEAAAQQQsL6AR3v/lXvrTcb776S+XSV36s0S1G4gzxF/AY8WbP9npV+Gz/qtrckwra3JxGfckr+D9Yn/6jADBBCIhQChdyyUuYapBAi9TbUc7ZqMCtlqNqzX31wn9k4w3nDXB97qjvErp98mtRvz23UdTja/QFFRkUyZMsUIvbt06SIbN240/8RtOEP9RlZaL33V2qT+32L9Z/VYzuUXi7uw0IaVUxICCCCAAALOEVA3qFQ7uo3/x2s3rlyi3cjap7Wc44i/QDAUknXFQZnwVEMf71Mfc8lXS9l8EP/VYQYIIBArAULvWElzHdMIEHqbZinCnoj6U0p3SYmseeQhUTejrH+zXf9Z7yN8xcXcoDJsYeudqP5dn3zyyUbo3bVrV1F9vjniIxD0eqXkp4WSPnLgbv8+VV/9RacMl7L09PhMjqsigAACCCCAQLsEgtqNKwu/+brRjSvTRw2W6jV57RqXkyMnsKMmKFPf9xhtTUY94JJZX3kidwFGQgABBCwgQOhtgUViipEVIPSOrGesR9N7B89/U9KG9d0tTEvSdpgsnjROD9tiPS+uF1+BgoIC6dOnjxF69+jRQ9QvRzjiJxDS/rS5TuvzufTqy3f7t6p+QfX/7J0HeBTV+sZtV/TqX69XvXiVakHpvUsTBEEBQcXeuajYsdF7UxERbNhBwAICUgQRhVQCJIEECKEFSEJ6L9t3v//5Bmc2Q9ruZsvszjvPw7Nhd+aU39mdOfPOd94vot0tdOrLpYFrIGoGARAAARAAARBwm4CUuHL/Pors2Fy5vnPiyswtv7ldFg7wDYEyk4O+jrQogjfbm3AiS/b3xgYCIAACeiIA0VtPo42+SgRY9O7RowfVq1ePRo4cCSpBQoAjSnL++pP2DOyjTLDlyG6OHI3u1o5Sly8j9vfGpj8Cp06dovr160ui94UXXkjdunXTHwSN9piXPx9fuMAZDSYEb/m3K1kQvf4y2crLNdp6NAsEQAAEQAAEQEAmICWuTEuVgkzka3lEmxvp+Afvy7vgNcAErDYH7T5pox7TnLYm/eYaKPaULcAtQ/UgAAIg4H8CEL39zxw1BpgARO8AD4Cb1XM0CS+VTHjmCWJxW55gy68cLXps/hxiH2Fs+iVw4sQJ6UHWeeedRxdffDENGTJEvzA02HN+aJW1ZbMqKkz+DYe1aERxI4eSIT1Ngy1Hk0AABEAABEAABGQCprw8OjD2OWU+zpaCiWOeIbuYr2MLPAGO404vtNOIJUYlyrvndAN9Hm4OfOPQAhAAARAIAAGI3gGAjioDSwCid2D5u1o7R5LwxPrITOHb3aqpMrmWhTIpQvSlFyT7BFfLxH6hScAubDQSEhIUa5NLL72UHnvssdDsbBD3ih9gFScdor2D+1f6PZ/1+e5M+btjgriHaDoIgAAIgAAIhC4Bthg8+fmnyjVcshUU13RzYUHodjrIelZY7qBpG5w+3l0nG+g54evN0d/YQAAEQECPBCB663HUdd5niN7a/wLYDAbKWL+OOCGOLHLLrxwVGjvsLohj2h9Gv7XQIixtduzYoYjel19+Ob388st+qx8VuUfAlJtDB14eW+m3zb/xCOEJmrZqpXsFYm8QAAEQAAEQAAGfEmD7wJydO0QgShPl+s3JqouTknxaLwp3nYDR4qAN+y3UecJZWxN+HbLQKEV+u14K9gQBEACB0CIA0Tu0xhO9cYEARG8XIAVoF8nK5HCSSHz3oDKhlsVuybdbiOBpP67CEsoAjY9WqzUJ64y1a9cqovcVV1xBU6dO1Wpz0S5BgH2+TyxZVLXPd+sb6eicmfid45sCAiAAAiAAAhogwImpS44epegeHZT5eWS7ZpSxbq0GWocmMAG7WCF7ONNG7N3dafzZf71nGWjrISsAgQAIgICuCUD01vXw67PzEL21Oe7mwkLhzT2XwltXYWXS9mY6OnsmWYqKtNl4tCqgBMpFEsSvv/5aEb2vuuoq+vDDDwPaJlReOwGbeFiRuWmjFN2tPNz6O8llWMsmlPj8aLKWldVeEPYAARAAARAAARDwGQFjdjbte3SUInjzXD152hSf1YeC3SeQU2Knp79x+nj3mGqgWZvg4+0+SRwBAiAQagQgeofaiKI/tRKA6F0rIr/uYDebpeWSMf26K5NpWQDj5Dj7Hn6ASpKT/domVBZcBEpE1PD777+viN7XXHMNLVu2LLg6odPWOqxWKtwXTzF9q/j9s5XRvXeLBJfpOqWDboMACIAACIBAYAlwovhj785V5uhsMxj/4Eiyifk7Nm0QKDE6aMlfZiXCu8tEAz2y1EjlJvh4a2OE0AoQAIFAEoDoHUj6qDsgBCB6BwR7pUo5UaUhK4uS3nxdWBw0VCbTkuDdvAHtEksoz/yymng/bCBQE4FCsUpg4sSJiuhdv3592rhxY02H4DMNEeDfeHlqqnQTLT/wUl7FuWC3EMSLRKJSbCAAAiAAAiAAAv4jYOcVWRs3OK3IxDU5pndXMqSl+q8RqKlGAharg8KPWqmbSFjJtiadxb8B7xooKcNW43H4EARAAAT0QgCit15GGv1UCED0VlAE7A+b0UgZG36l6G7t1GK3sDYIF36+yVMmikzwhQFrHyoOLgJ5eXn0/PPPK6L3f//7X4qMjAyuTqC1ZBLjeHDcK5XOCeznH9WltbQiBJhAAARAAARAAAR8T4Dz7BQfSKTITi2U63Jkh9twLfY9erdqOJVnpyEfOG1Nes000MrdFrfKwM4gAAIgEMoEIHqH8uiib1USgOhdJRa/vMmJcMpOnaTEMc8QC1lKNKcQu3m55J4hA6ggdq9f2oJKQodATk4OPfjgg4ro3aBBAzp06FDodFBHPZESXC5aWHn1hzhHRLS/lc6s/llHNNBVEAABEAABEAgMAUPGGYodOkiZq0e0uYlOfIR8KYEZjeprHfezSbE16TbFQPx/rJKtnhc+AQEQ0B8BiN76G3Pd9xiid2C+AlaRbDB1+TLiKJGKYjf/HdH2Fjrx4QfwBwzM0AR9rZmZmTRw4EBF9G7cuDHxe9iCk4DNYKD01T9Jqz4qnSvETXfKx4uDs2NoNQiAAAiAAAgEAQFzYQEdnvC2Ml/nHDsJ/3ua7CJ4BZs2CJSbHbT9sFURvDtPMNC9i42UXwZbSG2MEFoBAiCgFQIQvbUyEmiH3whA9PYbaqkiXh5ZcjipSr/esJaNKO6+YeLzw/5tFGoLKQLpItFhp06dFNG7adOmZBQWOtiCl4Cc4DayY3PlplsWwMNbN6XkqZPILs4t2EAABEAABEAABLxHgB88p61a6VyR2bwh7R7Yh8z5+d6rBCXViYDN7qB9qTbqPeusjzd7efedY6CYFMyL6gQWB4MACIQkAYjeITms6FRNBCB610THu5+xVQFHZYaL6ExZsJJfIzs0p1NffwnhyrvIdVna6dOn6cYbb5RE7/PPP59at26tSw6h1mmH1UoFcbFSUlv5vCG/hrdqQgdfe5lsFvhWhtq4oz8gAAIgAAKBIcDX3fw9uym87c3KvD2qcysqjI8LTINQa5UEMovsNOozp493z+kGWvKXucp98SYIgAAI6J0ARG+9fwN02H+I3r4f9LPR3YdFFPdQZdIsi1W8RHL/E48Ib+9Tvm8IatAFgZMnT9JVV10lid4XXXQR9e7dWxf91kMnOQ9AydEjtGdg3yrPJYliubVNWCdhAwEQAAEQAAEQ8JwA+0CXiyCC3Xf0VK63EUL8Tl3+neeF4kivEygyOGjOZrNia9J1koFGLzORxQZbE6/DRoEgAAIhQQCid0gMIzrhDgGI3u7Qcn9fa1kZnf7ma8mnWxa6pVeRuDK6axtK//knJFhxHyuOqIHAsWPH6IILLpBE73r16tHw4cNr2BsfBRsB6UY8LY3iR41QbsTlc4v0EO2xB8lSXBxs3UJ7QQAEQAAEQEAzBEx5uZT4wv+U6yyvqEp64zXNtA8NITJZHLTlgJW6THTamgxeYKTUAnit4/sBAiAAAtURgOhdHRm8H7IEIHr7Zmg5IrP0xHHaJwQoWZCSX3nizBNpY3aWbypHqbolYBO+znv37lX8vP/5z3/S008/rVseodxxPn8kPPNEpfNLWIuzuQFMeXmh3H30DQRAAARAAAR8QsBaWkonP/tEub5K19XhQ4gDWbBpg4BdROIfzbJR/3lOwZu9vLcctGqjgWgFCIAACGiUAERvjQ4MmuU7AhC9vc+Wk96k/7KaIjvcpkyY5ejuqC6t6cya1d6vFCWCgCBgNptp27Ztiuh9+eWX07hx48AmRAmwsH3gpRfU55nbbiC+QY8dPpiMubkh2nN0CwRAAARAAAS8T8AucmPk7PiLOEBFnrtH92hPpcePeb8ylOgxgZxSO41ZblJsTXpMNdBrP5o8Lg8HggAIgIBeCED01stIo58KAYjeCoo6/8G2A6bcHGn5405hXyJHdvMr2w7se/xhMqSn1bkeFAAC1REwGo30448/KqL3lVdeSbNnz65ud7wfAgTMBQV0ePxbqvONdM5h4XvYXUL4zgmBXqILIAACIAACIOBbAmfzZhyl6O7tlWtqZPtmlLlpo28rRuluESg1OeiLcKePN9ubPLzUSKVG+Hi7BRI7gwAI6JIARG9dDru+Ow3R2zvjbxcZ3gviYml3/17KRFkWvTni+9S3X5NdWJ5gAwFfEigTS28/++wzRfT+97//TZ988okvq0TZGiBgKSqiI7OmVzr3SBHfLHznZGuglWgCCIAACIAACGiXgDE7m/Y9Mkq5loa3vpGOzJ6p3QbrsGWcoDL6hJW6i8hutjPhf/3nGygpw6ZDGugyCIAACLhPAKK3+8xwRJATgOhd9wFkj79TX39JPDmWhW450jLu3rup9NjRuleCEkDABQLFIoHh3LlzFdH72muvpR9++MGFI7FLsBPg5JXH35unOgfJ56G9QyF8B/v4ov0gAAIgAAK+I8DX0KPz5yjXUGmF5qMPkk3YnWDTBgGxoJZS8+00dJFREbx7zTTQit0YI22MEFoBAiAQDAQgegfDKKGNXiUA0dtznGxnYsg4Q4ljnlEmybLoLUWHzJxGNhP85TwnjCPdJVAgrC7efPNNRfSuX78+bd261d1isH+QEqhJ+I4VD+DMBflB2jM0GwRAAARAAAR8Q8Au5uqZGzdI+TCkebywKIzp213M8TN8UyFK9YhAQbmDxv/i9PHuNsVA4342Ed+PYQMBEAABEHCNAERv1zhhrxAiANHbs8FkO5NCYWfCk2JZ6JYnyuwFmL0NQqNnZHFUXQjkicSGzz77rCJ6X3/99bR79+66FIljg4xATcJ33KgRZCktDbIeobkgAAIgAAIg4BsC7ONdfPAARXZqocznIzs2p7zICN9UiFI9ImAwO2hNnIU6TzhracKv9y42Ul4ZrCM9AoqDQAAEdEsAorduh16/HYfo7f7Y2wwGSv/5Rwpvc5MyQWbBm5dCxj98v0hWme5+oTgCBLxAIFv4UY4YMUIRvRs2bEjHjh3zQskoIpgIVCt8i3PU/icfIT6HYQMBEAABEAABvRPgaO7Y4UOU+XyEmNunfLxY71g01X+b3UGJ6TbqPcvp4913joF2CW9vbCAAAiAAAu4RgOjtHi/sHQIEIHq7N4jmwkJKnjKRdoqljxUjvCPa3EjHF7xHHAGODQQCRSBD3Lz17dtXEb2bNGlC+fmwtAjUeASyXim55ewZqvOU/HAu8bnR8CkN5OCgbhAAARAAgYATkOb0kyco10kOXmHLQiSeD/jQqBqQWWynR5Y6fbx7TjfQkr/Mqn3wHxAAARAAAdcIQPR2jRP2CiECEL1dG0xe/lh64gTF3TdUmRwrdibd2go7k99dKwh7gYAPCaSlpVGbNm0U0fumm24imw0Z7X2IXNNFm4XH++Hxb6nPWWJVSnirJpT05uvwwdT06KFxIAACIAACviIgrdpc/ZMIYml49hopXnff2ZtMwiYOm3YIFBkcNHuzWUlc2XWSgUYvM5HFBh9v7YwSWgICIBBMBCB6B9Nooa1eIQDRu3aMdpG5PX9XNEV3b6cSj8JaNKLYoYMkMbz2UrAHCPiewOnTp4ktTc477zy64IILqEOHDr6vFDVomgDfwB948XnVuYsf2EmrU96bp+m2o3EgAAIgAAIg4G0CDhEMUBgfRxHtminXRvb0Lojd6+2qUF4dCBgtDvo1wUpdJjp9vAcvMFJqAXy864AVh4IACOicAERvnX8B9Nh9iN41j7rNaKQza9dU8u/mSMmDr75E1rKymgvApyDgRwIpKSl0+eWXS6L3P/7xD+rfv78fa0dVWiVgysmh/U89ptzcy9ZMEW1vptTl32m12WgXCIAACIAACHidQHl6Gu0Z1E+5JvK18NRXX3i9HhToOQHZx7vPbKePN/+9/TBsJD2niiNBAARAgAiiN74FuiMA0bv6IbeUlNCJDz+gsBZ/L30U0ZFShGS7WzA5rh4bPgkQAYfDQcnJyYq1ySWXXEKjRo0KUGtQrdYIGDLOUNzIc+yZxDktsv2tlLX1N601F+0BARAAARAAAa8TMIs8JwfHvaII3hzEcuDF52D35XXSdSsws8hOD1Xw8e4xzUALtsHHu25UcTQIgAAIQPTGd0CHBCB6Vz3oprxcOvjKWGVSXNG/O2fnjqoPwrsgEEACVpFENSoqShG9L7vsMnruuecC2CJUrSUC/FCkNOUE7b6jp/q8JoTvqC6tsaxbS4OFtoAACIAACHidgK28nE4v+9Z5DRQ+3nsG30Gc0BKbdgiwj/fMjef4eH9nJIsVPt7aGSW0BARAIFgJINI7WEcO7faYAERvNTpOWFl28iTFjbjbOSnmCG+eGA/sQyVHktUH4H8goBECJpOJNm3apIje//d//0fjx4/XSOvQDC0QYB/TosQEIXK3Oef81oBi+nUnQ1qqFpqJNoAACIAACICAVwnYRWBAXnSUyq4wqksrKkpI8Go9KKxuBNjHe90+C3We4PTxvnuhkdIL4eNdN7I4GgRAAATOEoDojW+C7ghA9HYOuSQIiclvTJ9uKkEorGVjin/kATLm5jp3xl8goDECBoOBvv/+e0X0/te//kXvvvuuxlqJ5gSaACfmzYuMpIi2t6jPcyIxb9yIe5CnINADhPpBAARAAAS8SoBXOpWdOkkxfbsr1z2+BqZ+v8yr9aCwuhFgH++ENBv1nqX28d55FD7edSOLo0EABEDASQCit5MF/tIJAYjeZweahaDc8DCK6tRSmRCzpQl7/SW9NY5sIooWGwhomUBpaSktXrxYEb2vvvpq+vLLL7XcZLQtQAT4fJaxcQPxAz05qaV8vmNvU7tY8YINBEAABEAABEKBgEkErSQ+96xyvZOS0b/+Sih0LaT6kCGiuR/41Eidxp8VvXtON9BHf8LHO6QGGZ0BARAIOAGI3gEfAjTA3wQgehPZjEY6s26taskjC0ARbW6ilCUf+XtIUB8IeESgqKiIpk+froje1157La1Zs8ajsnBQ6BOwiockJz/7RBEBZPE7os2NdPy9eaEPAD0EARAAARAIeQLnXus4OX3s0EFkEddAbNohUFjuoGkbTIrg3XWygZ773kQWG3y8tTNKaAkIgEAoEIDoHQqjiD64RUDvorc0GV76GYWJpf2y6MOvkR1uozO/QDB068uEnQNKID8/n1555RVF9L7uuuvor7/+Cmib6lq5UTyQ2r59O40ZM4aefPJJyb6FE3Zi8w4Bc0G+tJKl4rlPOv+1byZFgnunFpQCAiAAAiAAAv4nwKs4c3b8Ja3alK9z0d3aUnFSkv8bgxqrJWAQPt6/xKt9vIcuMlJmEVadVQsNH4AACICAhwQgensIDocFLwE9i96WokI6MmOaSFLZwCl4i795QpwXER68g4qW65JArli++/jjjyui9w033ED79u0LOAubSJ6YkZEhiderV6+mdevW0c6dO+nEiRNkETek1W2FhYU0YcIEOv/885U+XX755ZKwX90xeN99AobMTIp/4F7nOVBK3CvOg93bUUkyEve6TxRHgAAIgAAIBJoA+3iXHjtG0T06KNe3iHa3UPrqnwLdNNRfgQD7eO9LtVGvmU4f776zDRR5DAEOFTDhTxAAARDwGgGI3l5DiYKChYBeRW9jTjYlPj9amQhLESDNG9Lufj2o+NChYBk+tBMEFAJZWVl0zz33KAJxo0aN6PTp08rn/vyDPaH53DJ79mxq1aqVSrg+77zzlDb+3//9Hw0fPpx+/PFHlQDOSTlXrFhR5XENGjSgJERpeW04JWHg+HGK6d1FdT7kJeB77xlIluJir9WFgkAABEAABEDAHwSM2dm077GHlOtaeOumlDx5gj+qRh1uEDgjfLzv/0Tt4/3JTvh4u4EQu4IACICAWwQgeruFCzuHAgG9id5SBnchBMaNHKpMhFnwZnuT2GF3kSE9PRSGFX3QIQH5tyyLyk2bNqWSkhK/kygWIun8+fOJE2nKbanttV69ejRs2DBiixb+jR4XIiyL9lUdx17lLJJj8x4Bu7CMyYuOqpTXgJN9cWJLHhNsIAACIAACIBAMBPhh7bF35yrzfJ7jx48agaT0Ghu8AuHjPXm908e7m/DxHrvCRFb4eGtspNAcEACBUCIA0TuURhN9cYmALJSx6DRy5EiXjgnWnRzCZqH44EHafUdPZSIsCd4tG9P+Jx4hi0gEiA0EgpVAamoqNW/eXBGKmzVr5teucHT3MbGU+I477lDaUJVoXd17//znPyXvbhbN586dW20Z11xzDa1cudKvfdNDZbbyckpb+b3a7klO6PvJEj0gQB9BAARAAASCnIDNZKKMDb86c/UI28JdvbpQuZgjYdMOAYPZQT/Hqn28h39kpOxi+HhrZ5TQEhAAgVAkANE7FEcVfaqRgF5Eb05mkxsZSVFdWqkEb45kPPTGq2QzYyldjV8UfKh5AqdOnaL69etLYvGFF15I3bp181ub2bc7ISGBbr31VpVYzX7cV111FT322GOSUB3Jv8GoKNqyZQt98MEHxL7jFUVwjk4/KB5M3Xbbbar3K+4TCgk6/TYwblZkLiygwxPfUZ0j+cFgZMfmlB+zy83SsDsIgAAIgAAI+I8AB7cUJSZI1yzJtpCvXyIxPSezxKYdAlbh4x132ka3z3D6ePeba6CYFJt2GomWgAAIgECIEoDoHaIDi25VT0APorddRH1kbd5E4W1vVok5EW1upOPvzcPS/eq/HvgkiAhwYkhescEC8cUXX0yDBw/2S+s5wjtZJDw8V6hmv+633nqLcnJyqmwHe5APHTpUJW5ff/31tHz5ctV7FQVv/rtx48ZSYswqC8WbdSZgEElH40bcrTpX7uR8BwN6k1nYz2ADARAAARAAAS0SKBcWhXvvvlO5fkW0uYlOLF6kxabqtk1slpYufLxHLHH6eLP4/UUEgo90+6VAx0EABPxKAKK3X3GjMi0QCHXRm5fsp4ol+xzRLUd98GtEu2aU+v0yLQwB2gACdSbAwnNiYqIiFl966aX06KOP1rlcVwrIzMykAQMGKHWzMM3i9fr162s8nH2i2cN7xowZ1LBhQ+mYefPm0UsvvaQqq6LofdFFF1Hfvn1rLBcf1o2AQ3yXipMOUVRn9aqYsJZNKPGF/+EhYd3w4mgQAAEQAAEfEOCHsgfHvaLM9cOEdWHimGeI50fYtEOAfbwnrFX7eL+yykQ2Ef2NDQRAAARAwPcEIHr7njFq0BiBUBa9LSKJ34nFHwqP2obKJJgF76jOLSl72+8aGwk0BwQ8J2AR9j07d+5UxOLLLrtMEo89L9G1I9l/e/bs2Uq9LFA3aNCAtm/f7loBFfZiETxdRGl17txZVV5F0fvKK6+U6qtwGP70AQFeHZO5aaPwRFWfOyPEapnT33ztgxpRJAiAAAiAAAh4RsBaVkYnl37mnOuLef+eQf3IXIDVSZ4R9c1R5cLH+4c9Fuo0/qytSecJBiniO68UDyZ8QxylggAIgEBlAhC9KzPBOyFOIFRFb3NhISVPneScAAuxeycns+nZkQpi94b4qKJ7eiNgEiLlunXrFLH4iiuuoClTpvgUA/t4x8bGEtuYyMI0J5lkexJPNha92SaFrVnk8s59ZQ/w+Ph4T4rHMW4S4MS+R2ZOU59D+aGhyItQJPzbsYEACIAACIBAoAnYRU4eDmSpuKIzqktrXKcCPTDn1G+1OWjvKRv1nK728Y4V72EDARAAARDwHwGI3v5jjZo0QiAURW9jbg4lPj9aLdZInrS9qPTYUY2QRzNAwHsEyoWNzzfffKOIxZw88sMPP/ReBVWUlJubS0888YRSJ1uqcMJKTzezuHHdvHmzUt65gvc//vEP6t+/v6fF4zgPCBgzMyh2+GDVuZSjv/k9m8HgQYk4BARAAARAAAS8Q0Cy4xLJryvacUW0u4XSflzlnQpQilcIiJgGSi2w0/DFah/vryMtXikfhYAACIAACLhOAKK366ywZ4gQCCXRmyNFy9PSKH7UiHNEmkaSSMMJ2rCBQCgSKBFWPgsWLFAEY464XrbMd571HOW9Z88euuSSS5Q62Zc7KSnJY7ylpaW0aNEipbxzRe+rr76avvrqK4/Lx4HuE3CIcS7cv58i2t+qOqeGt76Rjsye4X6BOAIEQAAEQAAEvETg3MSV4a2a0uGJ73ipdBTjLQL5ZQ564+cKPt5TDPT6Tybhtw4fb28xRjkgAAIg4CoBiN6uksJ+IUMgVERvjvYoOXqE9tzVTyXOcCKb/Y8/RLxUHxsIhCqBQmHnM3HiREUw/s9//kMbNmzwWXcLCgrozTffVOrjKO+nnnqqTvVxmePGjVPKrCh6n3/++dS8eXMqwu+4Tow9OZgjutN++kGyh6qYDDiyw22UFxHuSZE4BgRAAARAAATqRMCcn0cHXxmrzPnDWjSi+PuHk81orFO5ONi7BMpMDvo2yunj3WWige77xEic0BIbCIAACICA/wlA9PY/c9QYYAKhIHpL0Yj74mnX7Z2UyS+LM+zvd+DlsWQTfsfYQCCUCeTn59MLL7ygCMb//e9/KSIiwmddPn36NDVt2lSpr379+pI1SV0qZLuUxx9/XCmzoujNCSznzJlTl+JxbB0ImPLy6MDY51TnV04QvPvOPsT5E7CBAAiAAAiAgL8IWMXKsJRPP3ZekzhnT6/OVHbqlL+agHpcIGARPt6Rx63UfarTx7v/PAMlpMHH2wV82AUEQAAEfEIAordPsKJQLRMIdtHbbrFQbngYRXZq4Zz8suDduikdmT6F7GJ5PjYQCHUCOTk59NBDDymCcYMGDeig8Ln0xcbe27/99ptSF0dhN2vWjMrKyupUXVZWFg0ZMkQpVxa9ufzbbruNuI/YAkOAraNKTxyn6O7t1edZ8WAx6Y3XAtMo1AoCIAACIKA7AnYRyJK5dQvxSk559RGvPMr5c7vuWGi5w+zjnZJrp8ELnD7evWYa6Ic98PHW8rihbSAAAqFPAKJ36I8xengOgWAWvTmCO3PTRgpvc5My8eUJcIT4f8onS87pKf4LAqFLIDMzkwYNGqQIxo0bN6YMH3nYsw3JW2+9pdTFvt6jRo2qM1zuw5133qmUK4ve/kjKWefG66AASWj4bRNxIktZaODXSOH3nb3tdx0QQBdBAARAAAQCSYBXdhYlJqgCXXjOf2LRwkA2C3VXQSC31E4vrHD6eHO096R1WHlbBSq8BQIgAAJ+JQDR26+4UZkWCASr6H3WZ/ZHycKkogDDCdfSf/5RC2jRBhDwG4H09HTq1KmTIhiz9YjRR76WLKb37t1bqYutR2bNmlWnvtqFJz8nwbzhhhuUcln0vvDCC6ljx45UXl5ep/JxsHcImAsL6PCEd1Sit2RzMqA38iZ4BzFKAQEQAAEQqIKAnKx+7113KNcgjvZOHPOMSIhor+IIvBUoAqVGB328w0ydxp+1NWEf70eWGonfxwYCIAACIBBYAhC9A8sftQeAQDCK3lZho3D6669ExGEjZeLLwndUl1ZY3hiA7xCqDDwB9ti+6aabJMGY7UBatWrls0adPHmS/vWvfyni9DXXXEPLly+vU31sXcLR4nJ0t/zKfWnRogUZRDJFb2x808w2Ki+99BLdfvvt9PXXX3ujWN2UIYkO4rsW07e76twb3qopHZ40Xjcc0FEQAAEQAAH/EqiUW0LkleDk9eaCfP82BLXVSMBsddD2w1bqOums4N1ZCN8D3zPSsWw8mKgRHD4EARAAAT8RgOjtJ9CoRjsEgk30tpSU0ImPFhJHFyoR3pzApkcHKojdqx2waAkI+JEAC9H//ve/JdH4oosuol69evmkdqvVSlFRUSpxmpNmhoWFeVwfe4F//vnnqjJl0ZtfWVRftmyZx+XLB9rEsujExERVRHyjRo3oFBJfyYhcerULT3e2M6lkcyI8VfMiwl0qAzuBAAjVXIJ4AABAAElEQVSAAAiAgKsErGLun7JkkXPeLwJdoru2EVYnia4Wgf38QMAuAguSM200YL4zcWXvWQbamGD1Q+2oAgRAAARAwBUCEL1doYR9QopAMInelqIiOjJrumrSu1MI3jF9u1GxsEbABgJ6JXDs2DG64IILJOG4Xr16NHz4cJ+gYMuUn376SSVQc9LMw4cPe1QfJ8Xcvn07XXHFFaoyK4rebHHSpk0b4j56unG7165dS9dff72qniZNmvjM+9zTtgbDcRxZl/T2G+eci0XU3eD+xCtxsIEACIAACICANwhI+SQ2i3wSFRJXRrS7BVaG3oDr5TKyS+z05NfOxJU9phlo3hazl2tBcSAAAiAAAnUhANG7LvRwbFASCBbR2yyS5x1+583KIsvAPlQmolyxgYBeCXAEc2xsrCLmXnrppfTUU0/5BEdpaSktWbJEqYvFaY6W5khzdzeTSES7ceNG+s9//qMqr6LgLf/NNicsUK9YscIt706242C/82eeeYa4DLk8fmWLlvfee8/dZmN/QYC5lp1MkVbYKCtuRORdeOsb6ejcuvm7AzAIgAAIgAAIMAFOXFm4fx9FdmyuzP/DWzel5MkTAEhjBIoMDpq/1enjzfYmT39rJJPFobGWojkgAAIgoG8CEL31Pf667H0wiN7m/Hw69MaryoSXRRb2844ddhcZMzN1OW7oNAjIBDhaetu2bYqge/nll9O4cePkj736WiKWGM+fP1+pi8Xjhg0buh2FzeUsXLiQOCq9ohBd298XX3yx5MX9888/Ewvw1W0syuaL88b7779fKTkm18H1jhw5ktiuBZtnBGzioUXGhl+F1VQD1bk5qlMLKkrY71mhOAoEQAAEQAAEBAEph0RqKu0Z2Fe5xvDcP/7BkcTXH2zaIWAUwvYGYWHCCSs5eWXnCQYa8oGR0grg462dUUJLQAAEQOAsAYje+CbojoDWRW9zfh4dfPVFZcIrCd4txaR31Agkr9HdtxUdrorAuZYjV155Jc2a5ZtoWxar3333XZVQzZYhe/bsqappld6z2+2Sh/b999+vKkMWu1nU7tixI911111Vfi7vx6+XXXYZ9ezZk5599lmaOnUqLV68mD766COaPHky3XvvvXTVVVdVWQbbwLBdSlpaWqX24Q33CEiJxV56QX1+FqJE3P3DyW6xuFcY9gYBEAABEACBvwlUTlwp7Az7dCVDOq7dWvqS2OwOSky3UZ/ZTh9v/nvnUQQVaGmc0BYQAAEQkAlA9JZJ4FU3BLQsepvycunA2DFqQUV4+u1/7CGy1BDlqZvBQ0dBQBA4NxEkJ7T85JNPfMKG6+KyK4rP1157Lf3444+11mcwGGj16tXUtGlT1fFyWf/4xz+oT58+lJWVRcnJydS6desq95P39+RVtknZuxdJb2sdMBd2cIiHGCVHkimqU0vVeTqizc10culnLpSAXUAABEAABEBATcAq5vgnP/tEdV1hi5PccM+TZqtrwP+8RSCj0E4PfOr08e453UBL/oKPt7f4ohwQAAEQ8DYBiN7eJoryNE9Aq6K3KTeXEsc8o5rwchKb/U8+ikRpmv9WoYH+JFBcXExz585VBGIWoVetWuWTJrAP96+//qrUxcLz//3f/9E777xTbX18DNuv1BS9fckllxBHf7MlCW8cEX5S+ISPGDFCVZcnQrd8jCx4h4XhprnawfLgA1t5OaWuWK46V/OKnOhu7ZBvwQOeOAQEQAAE9EzALizbsv/cTuGtmijXlYg2N1HKko/0jEWTfS8sd9CUX02SpQnbmnSbbKCxK0xktcHHW5MDhkaBAAiAgCAA0RtfA90R0KLobcrNoYRnn1Qmu2ctTRpTwuinyCaiRbGBAAg4CRSIJK9vvfWWIg7Xr1+ftmzZ4tzBi3+xx+ahQ4eIo7JlMZntQjgqOzs7W/LgZJGbI7V/+ukneumll+imm25S9pWPqfjKovnbb79NlirsMDiy/IsvviDuU8Vj3P37wgsvpPbt21N8fLwXaaAomYBRjP2+R0dVPmeL8zg2EAABEAABEHCFAK8eKhbzh+hubZXrCQe8cBAMPwzHph0CBrODftprkfy7ZR/v4YuNlFOCcdLOKKElIAACIFCZAETvykzwTogT0JrozZYmic+PVia7suCd+NyzSFwT4t9FdM8zAnl5eTR69GhFFGaP7d27d3tWmAtHyeeMc4VnFr8vvfRS4ojqcz+r6v+8H1udrF+/vsZa+UY3IyODxo8fT9ddd51LZVesjxN7vvLKK8ScsPmGgMNmo8L9+yhcROPxOVv+F9GuGZ35ZY1vKkWpIAACIAACIUXAmJVJ8SInhHwN2dm8Ie0e2Ic4oT027RDgSO69p2zEViYsePO/fnMN0nvaaSVaAgIgAAIgUBUBiN5VUcF7IU1AFrDq1atHI0eODGhfq0qKxssbD7z4HNnEckdsIAAClQlwhDX/dmWht2HDhnTs2LHKO3rpnVLhtclJI+X6PHllO5MHHniATp8+7XKrOMqc6964cSONHTtWitzmcqqq/6KLLqKWLVtKEeQcdY7N9wQsIsnpicUfOsUKFr+bc+KxbmQUdlXYQAAEQAAEQKA6AubCQkqeNkV1DYnq3IoK4+OqOwTvB4CAmIpRar6dhn3k9PG+fYaBvo1G8uoADAeqBAEQAAG3CUD0dhsZDgh2AloRvTmK4+C4V1STXUnwHisE7ypsD4KdO9oPAt4iwFHQffv2VcTfJk2a+DyqOS0tjbp06aLUWZXwXNV7LEZ36NCB1q5d65XuW61W4rbs27ePIiMjKSYmRrJWYXEcm/8JGMV3ce/dAyqdx5PefN3/jUGNIAACIAACQUGArQvTf/5RPChtqFw/ItreTKeXfRsU7ddTI/PLHDTupwo+3lMM9OZqk2RvpycO6CsIgAAIBCsBiN7BOnJot8cEtCB6m4UncdLbbygTXZWlCSK8PR5bHKgPAiz6tm3bVhGg2UObxWBfbjZhZ8H+2M2bN1fqrUrklt9j326ORt+wYQPxsdhCk4BdPKDMi4wg9mBVlqeLiO/IDrdSTtjO0Ow0egUCIAACIOAxAYeYrxTs2U0RbW9Rrhsc9HLwtZc9LhMH+oZAmclB30RZFEuTLhMN9MCnRioyIHGlb4ijVBAAARDwPgGI3t5nihI1TiDQore0nHHKRGWiKwveUtJKkRAPGwiAQM0E2CKkUaNGkvjMvtqcsNEfm+y1PXnyZMlKhJNbsk/3ZZddJiWvHDx4ME2cOJE2bdpEnGwTmz4IVLVEnaP39gy+g6wiMSk2EAABEAABEGACbFtWfuoU7b6jp3IfENaiIcUOHUQWrNjS1JfEIny8I49bqfvUsx7enYWP94B3DXQoA4EMmhooNAYEQAAEaiEA0bsWQPg49AgEUvS2FBfT8ffnKxNdWfDe/9RjxEsdsYEACNROICUlhTiSmqOqWXju379/7Qf5YA++eUUUtw/ABlmR/D0oEw9iYnp3UZ3bw1vfSEfnzQmy3qC5IAACIAACviJgEvkeOFF9xZVB0d3aUsnhw76qEuV6QIB9vFNy7TR4gdPHu9dMA/0SDx9vD3DiEBAAARAIKAGI3gHFj8oDQSBQordVRHCc/PxTKdGZPNnlJfH7H38I0YCB+CKgzqAkwAIjJ2qUbUTkBJFB2Rk0OmQI2MUqnczfNqn8Wfk8H9WpJRUlJoZMP9EREAABEAABzwjwfUDKx4tVgndEu2Z05pc1nhWIo3xGILfUTi+udPp4c7T31F+xGtdnwFEwCIAACPiQAERvH8JF0dokEAjR21ZeTqkrvidewqgI3i0aUdyoEVjOqM2vCVqlUQLs3R0dHa2I3v/85z9pzJgxGm0tmqUnAqa8PDrw8ljlHM/n+jBxno9/4F6y+9hzXk+c0VcQAAEQCDYCdpGvJ3v7H8Te3fJ9QHjrppQ8eUKwdSXk21sqfLyXhpsVH++ukwz06BdGKhfvYwMBEAABEAg+AhC9g2/M0OI6EvC36G0zGilj/TpVojMWQmKH3UXm/Pw69gaHg4C+CJjFjePmzZsV0ZttTt555x19QUBvNUmAVyGUHD1CUZ1bKqIGixsRbW+mU18u1WSb0SgQAAEQAAHfEnDY7VQsVqixjYkseEsPRO8fTnyPgE07BCxWB+08YqVuk50+3gPfM9KxbLt2GomWgAAIgAAIuEUAordbuLBzKBDwp+gtRXb88Tuxt6s80ZUSnA3qR4aMjFDAiT6AgF8JGIT3/YoVKxTR+1//+hfNnz/fr21AZSBQHQFe1ZO28nvn+V6I3nzuj+7ejspE8jJsIAACIAAC+iJgzM6i+AdHOq8LzRvQrp4dqexkir5AaLy3dvHg+niOnQa97/Tx7j3LQBsTrBpvOZoHAiAAAiBQEwGI3jXRwWchScBfojcvZ8+L2UUR7W9VTXRj+nXHRDckv1nolD8IlApPzCVLliii99VXX01ffPGFP6pGHSDgEgFjdjbte+xB53mfbU5E/oaE0U+5dDx2AgEQAAEQCA0ClqIiOjJ7hup6ECnuCzI3bwqNDoZQL3KEj/eY5U4f7x7TDDRnszmEeoiugAAIgIA+CUD01ue467rX/hC9paWMhw5K0X3OCO+zkR3FSUm65o/Og0BdCBSJG8jp06crove1115La9YgCVRdmOJY7xJw2GxUuH8fhbe5SSV0SAnL1uK76l3aKA0EQAAEtElAsTeskM+HV34emTVdmw3WcatKjA5a8pfax/vJr4xkssDHW8dfC3QdBEAgRAhA9A6RgUQ3XCfga9GbfV3LTp6k3QN6qwSP6K5tqCB2r+sNxZ4gAAKVCOQLH/xXX31VEb2vu+46+vPPPyvthzdAIJAErCUllLJkkeoasFMsaY/p25044SU2EAABEACB0CUgP/yM7HCbch2QfLyFzYlN5CbBph0CZuHjvf2wlThhZafxBuo8wUB3LTDSqTz4eGtnlNASEAABEPCcAERvz9nhyCAl4GvRm72640VyGiXCWyxt50lv9h/bgpQYmg0C2iGQm5tLTzzxhCJ633DDDRQfH6+dBqIlIPA3AaO4Fuy9+07VtSC8VRNKevsNMAIBEAABEAhhAuXp6bR3yADn+Z99vHt1pvLTp0O418HXNfbxPpJlowHzzwreLHqzj/fvh+DjHXyjiRaDAAiAQNUEIHpXzQXvhjABX4reprxcSnx+tHOSKwTviHa3UNqqlSFMFF0DAf8RyMrKoqFDhyqid6NGjegUEgT6bwBQk8sEpLwOkZGSn/e5D0Fzw8NcLgc7ggAIgAAIBA8Bc0E+Jb35uupegH28s7dtDZ5O6KSlOSV2evpbZ+JK9vF+/3dE4utk+NFNEAABnRCA6K2TgUY3nQR8JXpbigrpyPQpqkluhPB0PbFoobNy/AUCIFAnAvz77dmzpyJ6N2nShIqLi+tUJg4GAV8RqOq6sLN5Q9ozuD9Zy8p8VS3KBQEQAAEQCAABW3k5pS7/jtjOSn7YyT7eR+fNDkBrUGVNBIqFj/cHf6h9vJ/9zkhsd4INBEAABEAgdAhA9A6dsURPXCTgC9GbxYtTX32hnuS2akqHJ413sVXYDQRAwBUCaWlp1KJFC0X0btasGbGPPjYQ0CIBKceDWM4e07urIoCwECKJIHNnabHJaBMIgAAIgIAHBKTVPdFRqiTGYS0b075HRpHNYvGgRBziKwImIWxvPWilLhOdPt5DFhopvRA+3r5ijnJBAARAIFAEIHoHijzqDRgBb4vedpOJMjdtVC1hD2vZRLI54QkwNhAAAe8RYCsTTl553nnn0YUXXkhdu3b1XuEoCQR8QEC6Rvy2WTwUbagSviM7taDCffCj9wFyFAkCIAACfiUgJ7GP6dPNeZ7n5MV9upJB+Htj0w4B9vFOyrBRv7lOH+8+sw204wju2bQzSmgJCIAACHiPAERv77FESUFCwJuitxTVEbNL+HY3Uya5nJ09TiSyxNL1IPlCoJlBReDEiRNUr149SfS++OKLafDgwUHVfjRWnwTM+fl08LWXlesER3tL14oR9yACUJ9fCfQaBEAghAiYcnMo4X9Pq87xnMQ+58/tIdTL0OhKtvDxfvxLp493z+kG+uhP+HiHxuiiFyAAAiBQmQBE78pM8E6IE/CW6O2w26kk+TDt6tHBOckVkXy7B/QmY2ZmiFNE90DA/wTs4jeXmJioWJtccskl9Mgjj/i/IagRBNwkwFGApcePU1SXNs7rBSc6FnkfUpYscrM07A4CIAACIKAVAtaSEuk8Lnt482tEmxvp+IJ3tdJEtONvAkUGB83f4vTx7jbZQM9/byKLDTZ5+JKAAAiAQKgSgOgdqiOLflVLwBuiNwsY5elptPeegU4BQyxj3NWjPRUfOlRt3fgABEDAcwJWYRcUFhamiN6XXXYZvfjii54XiCNBwI8EbEYjnVmz2nnNEMIIiyNRXVpTyZFkP7YEVYEACIAACHiDgN1spuw/tp1jcdiY9j/xMMHi0BuEvVeG0eKgjQlqH++hi4yUVQQfb+9RRkkgAAIgoD0CEL21NyZokY8JeEP0NuXlUuIL/1OJF5Edm1POzh0+bj2KBwH9EjAJ//z169crovcVV1xBkydP1i8Q9DzoCFS1BF5KdPboKOKVDNhAAARAAASCgwCv+CxOTqborhVW8LCPd9/uWPGpsSG02R104IyN+s5x+njz31HH4eOtsaFCc0AABEDA6wQgensdKQrUOoG6it4WsYzx+AfvqwTviLa3UOqK77XedbQPBIKaQHl5OX3zzTeK6H3VVVfRwoULg7pPaLy+CEgiyeEkYq9X1VL4tjfT6e++0RcM9BYEQAAEgpiAMSuL4keNUJ3L+dyeGx4WxL0KzaZnimjuh5aqfbw/C4OPd2iONnoFAiAAAmoCEL3VPPA/HRCoi+gtLU//ZbVIQNZQmeSGt76Rjs6ZqQNy6CIIBJZAiXjgtGDBAkX0vuaaa+i7774LbKNQOwi4ScAmHt6kLvtWuYZI4reIDowW+SHKU1PdLA27gwAIgAAI+JuApahImvurHl6KHA0nFuFBvL/Horb6CssdNGODiTqNPxvlzT7eL600EUd/YwMBEAABEAh9AhC9Q3+M0cNzCHgqerM3X150FIWLiDx5ksvL0hNFtnb49p0DGf8FAR8QKCwspEmTJimi93/+8x/69ddffVATigQB3xIwZmfTvkdGKdcSvqbw9SRBXE+wgQAIgAAIaJeAXVitZW7coAqA4fP3/qcfJ7vNpt2G67BlBrOD1sRZqPOEs4I3v9672Ei5JbAT0+HXAV0GARDQKQGI3jodeD132xPRm5eklxw9Qrt6dlRECo72jh06iDjaAxsIgIDvCeTn59PYsWMV0fu///0vhYeH+75i1AACXibgEMJI4f59qoeoLHxHtGtGZ35Z4+XaUBwIgAAIgIA3CEgWVQcPUGSnFsr9wE728e7Xg4zZWd6oAmV4iYBVRHLHnbbR7TOcPt795hoo9hQeTHgJMYoBARAAgaAgANE7KIYJjfQmAU9Eb2NWJsXdN0w1wd3VqzOVpaR4s2koCwRAoAYCOTk59PDDDyuid4MGDejgwYM1HIGPQEC7BKylpZTy6cfO64oQvSXxpE9XMuZka7fhaBkIgAAI6JSAMVPcD4y4W3XeZh/vvAg8gNfSV8IhnEvSCux07xKnjzeL399FW7TUTLQFBEAABEDADwQgevsBMqrQFgF3RW9zYQElTxqvnuB2bEF5kRHa6hhaAwIhTiBT3GwOGjRIEb0bN25MGRkZId5rdC+UCbCAEnvvENX1JbxVEzr48thQ7jb6BgIgAAJBR8BSVEhHpk9Rna8j2txIJxYuCLq+hHqD88sc9OZqp4939ykGekv838FqODYQAAEQAAFdEYDoravhRmeZgDuit5RwbMVyKfpO9vGOEJ7eqcu/A0wQAAE/E0hPT6fOnTsronfTpk3JaDT6uRWoDgS8R8AhckXk746h8FZNVUJKZPtmlLlpo/cqQkkgAAIgAAIeE5AS2a9bK+4HnInsJR/vxx9CXh+PqfrmwDKTQ4rolhNXdplooFGfGanYCMHbN8RRKgiAAAhomwBEb22PD1rnAwKuit52i0VEc0dSuMjGLgveLEwcnvC2D1qFIkEABGojkJqaSjfffLMkep9//vnUsmXL2g7B5yCgeQKWkhI6/sH7ynVGut6wR2zf7mTKy9N8+9FAEAABEAhlAlIOhoQEYhsT+X5AtqIynDkTyl0Pur5ZbA6KOm6l7lP/Tlw53kB3vmugpAz4eAfdYKLBIAACIOAlAhC9vQQSxQQPAVdEb17+Vnr8GO26vZMywQ1r0YjiR40gjvbABgIg4H8CJ0+epKuvvloSvS+66CLq1auX/xuBGkHABwSMwqZn790DlOsNCytsc3Jo3Ks+qA1FggAIgAAIuErAkHFGSlyvCN7i/BzZ/lbK3v6Hq0VgPz8QYOeSk7l2GvyB08e710wD/RIPH28/4EcVIAACIKBZAhC9NTs0aJivCLgienMG9n0P3+8UIP6OujMIewVsIAACgSFw7NgxuuCCCyTRu169ejRs2LDANAS1goCXCdiFzUledJQkdJ8rrGT9vsXLtaE4EAABEAABVwiYCwspefIE5/0AP5BsfSMdnTfblcOxjx8J5Jba6YUVTh/vHiLae8ZGsx9bgKpAAARAAAS0SACitxZHBW3yKYHaRG9LUREdnTNLNcGN7NSC8ndF+7RdKBwEQKB6AjabjeLi4hQ/70svvZSeeuqp6g/AJyAQZAQsxcV0/L15qmuPtIT+jp7ECZWxgQAIgAAI+I+A5OO95me1jzev+nxwJNmEBSI27RAoFX7dH+8wk+zj3XWSgZ74ykhGM3y8tTNKaAkIgAAIBIYARO/AcEetASRQk+jNE9yMX9dTWAtnohpOXHn6228C2GJUDQIgYBE3mH/88Yciel9++eX0+uuvAwwIhBQBo1hGv3dwf5XwzTYnSW+/EVL9RGdAAARAQMsEJB/vffEUIWxMlNU3YtXnrp4dqezUKS03XXdtM1sdtP2wlVjoZtG78wQD3bXASKfy7LpjgQ6DAAiAAAhUJgDRuzITvBPiBKoTvc8mqtmvSlQjiQ1vvBbiRNA9ENA+AaN4IPXzzz8roveVV15JM2fO1H7D0UIQcIOAZHPCCZSF0K0ILX/7x+b8ud2NkrArCIAACICApwQ4QeW5eRbYxztz8yZPi8RxPiBgF0beyZk26j/vrODNonef2QZJBPdBdSgSBEAABEAgCAlA9A7CQUOT60agOtG7XPh17737TkVo4MSVccOHkLWsrG4V4mgQAIE6EygTv8OlS5cqove///1v+vjjj+tcLgoAAa0RYJuTo/PmKNciSfxu3pB239mb2H4LGwiAAAiAgO8ImAsK6PA7b6rOweGtm1LytCm+qxQle0Qgu8Qu2ZjItiY9pxvow+3w8fYIJg4CARAAgRAlANE7RAcW3aqeQFWit7kgn5LeGuec4IoljNE92lPp8WPVF4RPQAAE/EagWAiB8+bNU0Tva665hlauXOm3+lERCPiTgOFMOu0Z1M95TeLkaa2a0uFJ4/3ZDNQFAiAAAroiYDMYKO3HH4SPdwPl/CsFwdw3lNgCEZt2CBQZHDR/SwUf78kGeu57E1ls8PHWziihJSAAAiAQeAIQvQM/BmiBnwmcK3rbyssp9ftlqgkuljD6eVBQHQjUQqCwsJDefvttRfSuX78+/fbbb7UchY9BIDgJ2IWHfV5EOIW1bKwILxzxHdnhNun94OwVWg0CIAAC2iXANocFcbEU0e4W53mXg2C6cxDMce02XIctM1oc9GuClbpMdPp4D1tkpKwi+Hjr8OuALoMACIBAjQQgeteIBx+GIoGKoveIYcMob1c0hbe5SZnghre+USwtnx2KXUefQCBoCeTl5dHo0aMV0fv666+nmJiYoO0PGg4CtRFgK5Ojc2Yq1ybZ5mTP4Dtgu1UbPHwOAiAAAm4SKE9Pq7TCJqJdMzqzdo2bJWF3XxKw2R2UkGaTvLtlW5N+cw0Uk2LzZbUoGwRAAARAIEgJQPQO0oFDsz0nIIvel9SrR/d07UIxfbsrogJH1e1//CHiKDtsIAAC2iGQnZ1N9913nyJ6N2zYkI4ePaqdBqIlIOADApxrYo/w8q6Y1JIfzB6ZPcMHtaFIEAABENAnAXN+Ph1641X1uZYtpSa8rU8gGu71mUI73f+JkWTB+/YZBvoyAvdtGh4yNA0EQAAEAkoAondA8aPyQBCQRe+rLrqQFtzc0DnBFUsYY/r1IGNWZiCahTpBAARqIJCRkUH9+vVTRO8mTZpQbm5uDUfgIxAIfgL8ADZn547KNicdm1NB7N7g7yB6AAIgAAIBJlCVzWFYi4YUO+wurKoJ8NicW31BuYMmrTMpgne3KQZ6/ScT2UX0NzYQAAEQAAEQqIoARO+qqOC9kCbAovcdPXrQfZdd7BS82Su1UwvKF1Yn2EAABAJPwO5wUKnRQdnFdjqZZ6cd8anUrEU7RfT+zw030rIoA30RbqZFf5rpvd/NNE8kNJqz2UwzNppp2gYTTV5vooni5uidX0z01moTjfvZJN0c8Q3S22vEZ2tNNO1XE80Wx/Dxn+ww0/JdFvp1v4V2HLFS/GmbVHeZCTdTgf9G6LcFZuFnnzxtsup6JQkywweTzWTSLxj0HARAAATqSMBhtVL+7hiVzSGvrInu2oZKDh+uY+k43JsEys0OWrHbogje7OfNEd+FQgjHBgIgAAIgAALVEYDoXR0ZvB+yBDLFcvGnO3agrc3+q4gIEW1vppNffB6yfUbHQCDQBPiWxGx1UHqBnWJP2ei3A1b6NspC87ea6U0hRo/+zkijPjXS4AVG6j3ToCQnkpevtnnxOP2j/t+i9/kX0sXXd1VufOR9fPXaeYKBek4z0OAPjPTYl0YaJ0TzBdvMtCbOIvUlrwyJkwL9/Qr1+stTUymmTzflmsWiTESbG+nEwgWh3nX0DwRAAAR8QsAhHq6Xnz5Nu+/oqT63ikSWaT+s8kmdKNQzAhabgyKPWan71LOJK3m+13++gRLT4ePtGVEcBQIgAAL6IQDRWz9jjZ4KAg67nQqSDtEvzRooE9zwVk3owEsvEE9+sYEACHhOgJMLZRTZKfK4lVaKaJx3haD96g8mGvWZke6YV1nIdkek7vBGHjUc/Cmdf9GldMFl11HjYcv9JnrX1k4WxW+fbqD7RMTRmyKinKPPw49aKUuwwAYC3iBgN5spe9vvxBHeFf29ozq3osL4OG9UgTJAAARAQFcETCJB9oGxz6nOqXxPcOiN13TFQeud5ZV/R7NsNPA9p493LxEc8XMsfLy1PnZoHwiAAAhogQBEby2MAtrgNwJGkQxv36OjlAkuCwh7776TLMXFfmsDKgKBYCbAz4bYdmRfmk264WBLkeeXm+ieD42qCJzahGKPPn+njNqPyxP/cjUjeNfUDxbDe88y0JNfGWm+4LQp0SrZpcB7Mph/AYFru7mggJLefkO5frH4HdaikUjG3I3sYok+NhAAARAAAdcIWMvK6OSXS885n4p7gnsGkqW01LVCsJdfCGSX2OnJr52Cdw8R7T1rk9kvdaMSEAABEACB4CcA0Tv4xxA9cJEAC9vHF7ynnuB2bEHFSUkuloDdQEA/BHjdg9HioANi6ehPIppmprjB4JuOAWI5KYu5NYm9vvqss1jOyktb+8w20J0i4mfoIqPk58iWI88Ke5QxQnwfu8JEL600SRHm7OHNXt7jhaf3ZOHtPVX4d7Pf9/S//b4nCE9v/vy1H030ojjmqW+M9ICwWBmy0Ej95p6ty9t9kYXwZ7410mLhRc5R8SXiIQI2EKiNAK9GKjuZQrt6dFBdx1j8Prn0s9oOx+cgAAIgAAKCACcIzosIp/DWTVXn0uguran40EEw0hCBIoODZop5mzwX6zrJINnhmcT8FBsIgAAIgAAIuEIAorcrlLBP0BPgpeFZv2+hsJaNlQnupmY30NT+/YK+b+gACNSVAC8d5URAEcIv8dOdZnp5lYnuFpHbfHMh32h485WF3z4iAnrYR0Z6Sgjp7Ok99zezVPeqPRbactBKMSk2Opxpo9R8O+WV2skoEhj524KIo9oNot5TIpHm7pM22pBgpS8jLFKE0Zhl3otuZ873fXw2GpxtUZA4s67f6NA93i4SV2Zu3EA7mzstulj0ju7WlkpPnAjdjqNnIAACIOAFAjyPKE05Qbt6dVbuB/gcGtH2Fkpd8b0XakAR3iLA86+f9lqUQAueOw4TwQ6ZsI7zFmKUAwIgAAK6IADRWxfDrO9Oso93cfJhiurSRpng/iaSWL5W/yoaOXKkvuGg97ojwEJusYicYYH7EyFwc2Q0+yR6K3pbisaeYqC7RbQ0RzNPEhHWLKT/ut9Ccadtkuc3JyQKlU32MY8SEdvfRVtooujvQ58bif0mPX1Q0F3we/QLIy0V3uDsY4kNBCoSMOfn0cFXxirXM8nmRDzQ3f/Ew2QX1ztsIAACIAACVRMw5eZQwrNPqM6f7ON98LWXqz4A7waEAM8Td52wSknE5bkUr8DbKxKhYwMBEAABEAABdwhA9HaHFvYNSgLG7CyKf+g+ZYL7p4jo+LjJdXTFJZdA9A7KEUWj3SHANw4snP4gIqjfXmOSLEG6TPRckJVvPjg6mW1AnhOWIuzrzRHa0eIGJaPQLoS30BG13WFdcV9ZDN+WZKWFf5il5bj9RTJPmZ+rrzxWdy0wSst72QrFbAXbipz1+LcUqXjsmOpBrhSp2O4WSvtxlR6RoM8gAAIgUCsBa0kJpSxZpNwPSA8MObfPkAFkEZ9h0wYBXn14IsdOg8XcR54rcSDBKpEgHRsIgAAIgAAIuEsAore7xLB/UBFgH+9j7851TnDFkvANLZrQ4PbtqF69ehC9g2o00VhXCLANSKyIhOHo6mdFpDUnUpRvGjx57TbZIAnlr/5goo93mGmrsB45Lm5GLBBfXRkO1T58I5ddbKffDlhp9mYzjfpMJP8UUd2ujotkCyP8zN8RHuU7jlgJnpYqvLr6j81opDNrVjuvbeJhLluexPTuSqa8PF2xQGdBAARAoDYCbHOYvW2ryuaQRe8o4eNdlJhY2+H43I8EckTiSp6/ynMjzuUyTeRiwQYCIAACIAACnhCA6O0JNRwTFAQk79MtmymsRSNFGIhs34xiP/+MevToAdE7KEYRjayJAMf8lguRm601Fmwz0yPCEqPHNNdFVPmGgl9lQZU9tt/9/awdyRERIY7I4ppGoG6fyePHEfLvC+Ysgrvqoy6Nl3igwdH7O4UAjocQdRuLYDxaWqY/+inl+sYCTnirpnR4/FvB2B20GQRAAAR8QkCyOTx0SAjcrVTny4i2N1Pq8u98UicK9YwAJ66cL1YPyvNTnhNxknEO6MAGAiAAAiAAAp4QgOjtCTUco3kC0gT3cJJqgstZ2o9Mn0pnzpyB6K35EUQDqyPA0b17RVLFRX+a6TEhcnMEjHxz4OorC6Z95xjofyIZI5ez/bCwJUFioOqQ++199lsvEglFtx6y0turTXSH8K90ZUx5PNnrcrqIhGLfdH8n/PQbIFSkIiBd5w4coMj2t6qEnMgOt1H+rmjVvvgPCIAACOiVgCEjg2KHD1GdJ+Hjrb1vAyeuXBOnTlx5j0iqni5s87CBAAiAAAiAgKcEIHp7Sg7HaZqAMUv4eI8aoUxwOdqb/28zmSB6a3rk0LhzCViFJ/exbDt9FWGREkP2dDOSmxNL9hDC+MNLjTRHWGpsTrRSWgFuIM7lrMX/c5R9vBCx391qpmEfOZf61iSEyx7gH243SzY0WuwX2uQ9AtbSUkr/6QflWnfWo7aRJPDYLPA/9R5plAQCIBCMBMwFBdLqFz43yv/ChI937NBBZBHnT2zaIMBz3T0ioKPndOfDfn6YH5OCxJXaGCG0AgRAAASClwBE7+AdO7S8GgKWoiI6OmeWMrlln9Ndt3eislOnpCMQ6V0NOLytCQLs+5xf5qCNCSLaV1hX3Pmu8wagJrFT/kyO4n5hhYm+DDdTfCosSjQxsHVshPzwY5EQs4e7KIDzsuCHPjfSSpFklL9T2EKXwN7B/Z3XPCHuRLS5mU5+/mnodhg9AwEQAIFaCNjKyyn1+2VSvgNZ8ObX6G7tqCQ5uZaj8bG/CPAqt5O5drpbJEeX57K3zzDQ8l14cOuvMUA9IAACIBDKBCB6h/Lo6rBvko/3po3n+HjfKiWvkXFA9JZJ4FUrBNiyZLeIcGFf5/s/MRJH68oT/9peed+B7xnpLWGHsTrWQinixgH2FloZWd+0gwXwo8JvfeEfZuKlv7V9R/hz9np/WSQj/StZ+H+L47GFFoGcnTtU1z1J2OnejspPnw6tjqI3IAACIOACAbvVSnlRURTe5ibVA8HIds0oY91aF0rALv4ikFNqp+eWm5S5DNv2TV6HxJX+4o96QAAEQCDUCUD0DvUR1lH/JH/T5MNSJnY5oiO89Y10dN4cFQWI3ioc+E8ACNjsDjqdb6dl0RYaIyb6HNHiinDJ+8j2FeN/MdG6fRZ4HQZg/LRUJQvYCWk2yc/bFQ9wXgkwYL5BesDCtjnYQoOAuSCfkt5+QyXuhLVsTInPjw6NDqIXIAACIOAiAX7wX3riOO3q1Vl1TuTcPsnTprhYCnbzB4FikbiSE7HLc2BeofbEV0YqN+HhvD/4ow4QAAEQ0AMBiN56GGWd9NGYnU37HntQmeDyDf++Rx8k+zm+phC9dfKF0Fg3jSKaO+q4lWZtcj06l28CWKRkMXPcTyYpwQ8S+mhsYDXUHP6O7ThipVdFRDdHdss3kdW98s0le71z4qgy3GBqaCTdb4ok8hw/rnroyw9/Ocll1tbf3C8QR4AACIBAkBIw5WTT/iceVu4H+Fwo5fZ5cCTZzOYg7VXoNZvnLOv3W5TVjTzfZYuTVOSdCb3BRo9AAARAIIAEIHoHED6q9h4Ba0kJpSxZ5Jzgso+3iPAwpKdVqgSidyUkeMMHBNibO7fETj8LyxH213Y1mpsTT/K+HAH+bZSFjmTaYFfig/EJ5SLZH7Ow3EGrhJf3I1/UbpfDN5p9Zhtotkh0yrYp2IKTgM1goLRVK5zXQSH07GzekHYP7EPWsrLg7BRaDQIgAAJuELAUF9PR+XPOOQ82oJjeXau8J3CjaOzqRQJWseIx9pSNelVY6dh3joEij1m9WAuKAgEQAAEQAAEiiN74FgQ9AY7kzgnbSeGtmiiTXCm67fctVfYNoneVWPCmFwiwbcnJPDt9EWF2SWyUI3C7TzFI+y/+00xxp21ksWJZpxeGA0UIAvydTBHfSV4+zN7v8neuutdukw30pFha/NsBeH8H4xfImJ1F+x6+X7kWcoTjWZuv2cHYHbQZBEAABFwmYDMa6czaNSKqu6HqHBjZ4TbivAfYtEGAH8yfEvOSoYuccxIO9vg6EokrtTFCaAUIgAAIhBYBiN6hNZ666w0v6S47eZJi+nRVJrjs2Xdk5rRqWUD0rhYNPvCAACcVZG/kD7ebafhHzgl8daIiv8++3JyAkK1Odgo7ilIjRG4P0OMQNwlwwtSdR6308ioTcaKo2r6jQ8Qy42W7LPh+usk5kLs7bDYqiIsVQndT5ZrIwndU51ZUcvhwIJuGukEABEDAZwQcInFl/u4Yimh3i+rcFyESWZ746EOf1YuC3SeQKxJXvriyQuJKEfjBeWr4ng4bCIAACIAACHibAERvbxNFeX4lYMrLowMvvaBMcNmzL+6+YWQzVZ/1G6K3X4coJCuTomdz7bT4LzPdu7h2oZvtI3rNNEiT/B+E5UQa/ApD8nsRLJ2SrXe+ElFVw2p5UMPfXV5y/IGIFM8oQuLLYBhjaXm/SODMYrf8j3Nc7H/yEYgKwTCAaCMIgIBbBKScBidOqAJg+NwnJfMd8wzZ7bh2uQXUhzuXiCAPDhKRH7pzbpHHhA0bgj98CB1FgwAIgIDOCUD01vkXIJi7bysvp9Tvlyk39TuFj3d09/ZUevxYjd2C6F0jHnxYDQFZKPxGCIX3fWyUEkzKk/aqXjmamxPyzNtippgUWJZUgxVvB5iAWVjpRIsEqxz9zdYmVX2X5fd4+TH7fmdB/A7wqNVefXlqqhCAujmvj0IAimzXjDLW/VL7wdgDBEAABIKIgJTI/tFRqvMdW5zsGdyfzIUFQdST0G4qJ67cmGhVJa4c/IFRsgUM7Z6jdyAAAiAAAoEkANE7kPRRt8cEeAl3YXwcRbR1LmOMEDf0Z9asrrVMiN61IsIOFQjwJH2HsCB5SSzFZO9tWQCs6pVFw8e/NEq+hCkiEhwbCAQLAX6ow5Hci0QEVv951X/POdEqr1p473cz5Yklyti0SYBXO2Vs+FUksmzgFILE37v7304cCY4NBEAABEKBgKWokI7MmOo8z/29wiW6W1sqTkoKhS6GRB94heS+VBv1nuWcX/QVCbTDhOUaNhAAARAAARDwJQGI3r6ki7J9RsBw5gztvXuAMsnlJJZJb41zqT6I3i5h0vVOPDk/nW+n97aa6c53nRP0qoRuFsKf+sZIbFuSUwIRUNdfnBDpPC8zXiW+zzVZn7D43UfcsLLFD5Yla3PgTbk5lPDsE8p1kpf7S0kt58zUZoPRKhAAARBwg4DNYKC0VSvVD/d4VUt7sapl4wY3SsKuviTAVt2pwtZveAU7QF45xknfsYEACIAACICArwlA9PY1YZTvdQLmwkJKnjpJuZHnJYx77xlIltJSl+qC6O0SJl3uxIn+diRbacxyk7L8siqhmyO6n/raSD/utSDaVZffFH10mlc5/JFkpcfE6oWqfgf8Hnt+D15gpI0JVvhFa+xrIa2I2r+fwkUiN9nbm185qSUiIDU2WGgOCICAWwTsFjH/ioyodH7jB3vH5s91qyzs7FsCvCqMLdTkeQQHi7y1GokrfUsdpYMACIAACMgEIHrLJPAaFAScS7YbKjfxUV1aU9GBRJfbD9HbZVS62JFtHbJFhPZnYWZib0F5Un7uK3t0DxEe3Z/uNCMRpS6+GeikTIB9v8PFEuSHl1b/++gqHgQ9862RDmfY5MPwqgECbGVy/P13leulnNxt/+MP4yGFBsYHTQABEHCfgEMkpiw5eoR29ehQ6dyW8MwTZLfCMsN9qr45ghNXLhErwuQ5Nc+leS6BFWK+4Y1SQQAEQAAEKhOA6F2ZCd7RKAFpkpucLEWpyVFrEW1vptPffeNWiyF6u4UrZHe22hx0ONNGE9aaqMe0qi1MZP9i3mfPSRtEopD9NqBjrhDgyO9th6xSIlf5Bvbc157TDfS+8PsuN4n1zNg0QaA8LY1i+nZXiUNSDoy1azTRPjQCBEAABNwhYMjMoLj7hqnOaTubi8SVg/qROT/fnaKwrw8J8OrJLQfUiSvvEivDkPPGh9BRNAiAAAiAQCUCEL0rIcEbWiVgyhH+pCKCQxa82cf7wIvPuS1EQvTW6gj7p10WEbUae8pGY5ZVb2HSdZKBRiwx0srdFioWUSrYQAAEnAQMZget32ehQe9XHfnNkVwjPzZKvzPnUfgrUATsIqllpvC3rZTU8o6eZCkqClSzUC8IgAAIuE3AXJBPSW+8ptwLyPcEUuLKgwfcLg8H+IYA58ZJSLNJuT/kh+OcB+QvYSGIDQRAAARAAAT8SQCitz9poy6PCVjLy+mUiOiWJ7cc0bF7QC/iya+7G0Rvd4mFxv4sdu8RYvez3xklH2J5El7xtaeI+GafQRbFsYEACFRPgBNT5QufzndFslf256z4O5L/5t/Tgm1mMgqRHFtgCZxNavmk8xr6d1LLI7NnBLZhqB0EQAAEXCRgFbl7Uj5erDqP8X1BZDuRuHLdWhdLwW6+JsDzgzSRuJKDR5T5gFgFxjaC2EAABEAABEDA3wQgevubOOpzm4CUjGtfPEW0u0WZ6EZ2uI1yw8PcLosPgOjtEbagPcgqok3YxuTFlaYqxW5OxDfwPSMtDTdTXpk9aPuJhoNAIAjw7ytJ+Hg/K/y85Zvbiq8c9X3/p0Y6cAYPkgIxPnKdfB0tSqgiqWWnllR86KC8G15BAARAQJMEbEYjZfy6nsJaNFLuBVjw5sSVR+fO0mSb9doonku/9qMzcWU38WB83M8msov5AjYQAAEQAAEQ8DcBiN7+Jo763CZgzMqkuJFDlUkuT3CPzJ7pdjnyARC9ZRKh/coJKjnSZNI6E3UTSfYqCnH8N4txHIWyfr+F2HcQGwiAgOcE2PJkTZxFtZS54m+u9ywDfR9jcduOyvMW4chzCUhJLRe8p1xLWTAKa9mY9j32EMblXFj4PwiAgGYIcGLK/N0xIvilWaXzV+L/nkbiSs2MFFGpyOfBEd3y9Z/n2g99boRVoIbGCE0BARAAAb0RgOittxEPsv5aSkro+AfvK5NcjvCIu3cIccSHpxtEb0/JBcdxvKwyT9gufCBsFTipnjzxll/Zr/u+T4y05aCV2HMQGwiAgHcI8IOmk3l2em65M8JL/t3xK0d7vfqDifLL8LvzDnH3S5GSWvarIqnlmtXuF4YjQAAEQMDHBDiJfemxY7SrV2flXkB6YNeiIcXeMxB5CXzM353iTcJG8Hcxt+Z5Nl/zORk85/44lo1VlO5wxL4gAAIgAALeJQDR27s8UZoXCdgtFsqLjCBOWMkTXP4X1aV1nZdiQ/T24iBprKgyEWGyfJeF7phbWezmaJN7PjTSBhHZDbFbYwOH5oQUgXIR9c1JYHvNqPw7ZDuhoYuMkr9+SHU6SDojJbXctBFJLYNkvNBMENA7AUNmBsXd51ztKd0PNG9Au27vTKUnTugdj2b6z/PqA+k26ldh/s2JK7cfRuJKzQwSGgICIAACOiUA0VunAx8M3eaItN0DeiuCd0Tbm+nkF5/XuekQveuMUHMFsD3JH2JiPXxxZV9hFtn6zzPQt1GwMdHcwKFBIUuAb4DZS5+XNVeM9pb/7jXTQMvEAyoHL83A5lcCUlJLYQkgP0zm1/DWTenIzGl+bQcqAwEQAIGaCJjz8+ng6y+rzlV8vors2NzjvD411YfPPCPAV/EzhXa6X6yilK/xvNLy4x1IXOkZURwFAiAAAiDgTQIQvb1JE2V5jYC5sJCSp0xUJrrsO7r/qcdEEpS6L5GD6O21YQp4QVabgxLSbPRMFUn0eFklC2tsc1JYDmEt4IOFBuiSAP/25mw2Sx768s2w/Npd2J28vcZEpUb8Pv355WC7gKLEBApvc5NyjWUhKYqTWh484M+moC4QAAEQqJKAVdgbpixZpDpH8XmKA2BOf/tNlcfgzcAQYMuyN1c7bc3YyowTWWJVZWDGA7WCAAiAAAioCUD0VvPA/zRAQFp+vfU3kaG94dnJ7t/LGA3paV5pHURvr2AMaCFyksrxa01Vi2lTDTThFxOli8gTbCAAAoElYBQrMX47YFUte5aFb7YdevAzIx3PwW/Vn6N0br4MFpOkpJaPPojoe38OBOoCARCoRIDz9pxZu0bcBzRSid7hrZrS4UnjK+2PNwJHgG0FvwhXJ64c9amRigx4mB24UUHNIAACIAACFQlA9K5IA38HnAAvdWePvugeHZSJbqTI1p7x63qvtQ2it9dQBqSgYhE5+ulOc5V+wV0nG6So70ThK4gNBEBAOwRs4tzOyaweWupc/iwL37wqY8B8A/2VDO9Pf46YZCF2R0/lWitFUba7hdJX/+TPZqAuEAABEFAIcD6f3PCwSitRpBWfjz1ENjMsMxRYAf7DLBJXsmd3NzH35us5X8sHvmekI8LaDBsIgAAIgAAIaIUARG+tjATaIREw5eXRgRefV27COYll0huveZUORG+v4vRbYXK06N0LK4tmHC06/CMjbUuCaOa3AUFFIOABgfxSO01Z71wGLQvf/Hq7SHzJEWPw+fYArAeHSKuqNm+qlNQypl8PYosxbCAAAiDgTwIOm42KDiRKSev5IZzyr3lD2jOoLxlzc/3ZHNRVAwF+kJ2UoU5c2XuWgbYewjy8Bmz4CARAAARAIAAEIHoHADqqrJqAtJxxzWrnDbiY5O4e2JcsRUVVH+DhuxC9PQQXoMPYt5szwlfp2/13kspl0UhSGaDhQbUg4DaBcrODVu22UHdhQ1RR9Oa/2ef7HeHzzUumsfmegEmISIljnnGKS0JokpJaTp/q+8pRAwiAAAj8TYAfdpadOqlKYC+J3mxx2KM9FSclgZWGCGQW2+nhCiu3OHHlR38iCl9DQ4SmgAAIgAAI/E0Aoje+CpogwJPdkqNHVdEdnJ09Pzra6+2D6O11pD4pUHwlKE9Ehc79zawsnawokPWYZqBZm8yUVwYvYJ8MAAoFAR8SsIiHWTEpNmkpdMXfNf/ddZKBHv3CSGkF+G37cAikos8mtUykcJEcTomqFMJ3VKcWVJSQ4OvqUT4IgAAISASM2Vm07+H7VechPidFdriNcv76E5Q0RIATVM/Y4FyxxfYmL68yEQepYAMBEAABEAABrRGA6K21EdFpeyRbk7HPKZPd8NY30tE5M31CA6K3T7B6tVC2MtmYYK1SEOPJ9ejvjNKySq9WisJAAAT8SoAT0qbk2umRCtFisgDeWaziYCujfanwBvX1oEhJLRcuUK6/LDRxArn4USPIbsVSdV/zR/kgoHcC5vx8OvTGq6pzEJ+HIsTDuNTl3+kdj6b6bxArtdbEWYiv0Xy9ZnvBkR8bKb8MgremBgqNAQEQAAEQUAhA9FZQ4I9AEZBsTdb9otiahLVoSLH3DCRbeblPmgTR2ydYvVKoze6g5Cwb/U+I2rL4Jb/yxPqeRUb4BXqFNAoBAe0Q4BUd439xRo3Jv3lOitVvroF+OwDh1dejVZ6eRrvPTWopBKfT33zt66pRPgiAgI4JVPXQjQVvDn45MnuGjslor+tWMUePPWWT8m/I1+n+8wy0Pw0Pp7U3WmgRCIAACICATACit0wCrwEhwLYmpcePU3S3tkqEB9uaFOzd47P2QPT2Gdo6FVxidNAnO8zEtiXyZFp+7TVTeAVuN1M5fH7rxBgHg4BWCbCH95cRFsnaRP7dy6/sFboUCS59OnR2s5myft8qHj43VK7FO4WXbnTPjmRIT/dp3SgcBEBAnwRsBgOl/bBKfd7hlSYtm1Di86PJLhJbYtMGAbYcTBWWY8MXO4NSeG7+wx6LNhqIVoAACIAACIBANQQgelcDBm/7h4A5P48OvjJWucmWbE3mzfZp5RC9fYrX7cLZ25cjR+7/xDmRlsUutjIZs9xEx3Pg7es2WBwAAkFGwCRsjbYeshLfSMvnAPmVk15OWW8isxVLqH01rNL1+NUXleuxFG3ZqgkdePE5X1WJckEABHRKgB+0ZW/bSuGtmqrOOWytFHffMLKWlemUjDa7zfYl4352rsjia/LkdSZtNhatAgEQAAEQAIEKBCB6V4CBP/1LwGYyUcaGX9W2JkMHEUd++HKD6O1Luq6XzdJVgZhEc6JKTlwni1v8yl6Bdy0wSr7evBoAGwiAgD4IcCKsuNM2GvR+1Q/BXvjeRMViVQg27xM4m1D6iEhi2VIlQkW2v1VEgW/xfoUoEQRAQJcEOFdAXswuihDnFn64pvwTK01297+dDGfO6JKLVjvNK7G+ibIo83S2G+RcHPw+NhAAARAAARDQOgGI3lofoRBtn2RrknKCoru3Vya7kR1bUEHsXp/3GKK3zxHXWgFHa+44YpUS1VUUu/nvHiJ6ZLrICl9kwGS6VpDYAQRCkAAnuDwhVnc8+Hll4ZsfkD36hZGyirD6wxdDz7k0OHGcIkKxIMVC1J29yVJa6osqUSYIgICOCDiEZUnxwQPC1rCd+jwjzjVsdViUmKgjGtrvKq/GjDhmpe5TzgancK4NfiiNFZjaHzu0EARAAARA4CwBiN74JgSEAGdqPzjuFWXCy7Ymx+bP9UtbIHr7BXOVlXDQdqYQq8avNUkZ3ysK7WZshgAAQABJREFU3hw5cu8SI0WfQNK6KuHhTRDQEQF+5JVdYqdXVjmXU8vnC/lccSwbwrcvvhLGrCyKHzVCuT5LNidIKucL1CgTBHRFgANeylJSpGhu1YM1IXhzPp+cP7friofWO8sPoFncrrjyqvcsA205iHm61scO7QMBEAABEHASgOjtZIG//ETALmxNMjdvUhLXhLVoSLHD7iKb0eiXFkD09gvmSpUYhV/vhv0W4kzvsnglv3KiugXbkKiyEjS8AQI6J8ArPmZvMlc6Z0gWSCLajPMBYPMuAY7E5GTS53rtRnVqQUUJ+71bGUoDARDQDQFDxhmKG3GP6oEai98R7W6RElrqBkSQdDSn1E7/+8654ooTzb//uzlIWo9mggAIgAAIgMBZAhC98U3wKwEpyuNkCu3q0UGZ9EaKG+mCuFi/tQOit99QSxVxpMjpfDu9uLJyxCZbFTwkLAwS0yFc+XdUUBsIBA+BUuHh/dlOc6XVIbzMuv98A4UdRdSZt0fTUlxMR+fNUa7TLExxgrn4B+4l9uPFBgIgAALuEDDl5lDC6KdU5xRJ8G5zE51YtNCdorCvHwiUiOvuh9udD5x5vv6/ZSayIJm0H+ijChAAARAAAW8SgOjtTZooq1YC5oJ8SnprnDLplWxN3p1X63He3AGitzdp1lyWQUR3rxfR3f3mVo7u7j3TQEvDzZhA14wQn4IACAgCBrPj/9n7z+A4qjT+F39161e36lbdV7fqX7WYzIIDJjoHnDDRS867xA3kuLssYGNjkskmg8FkAwaTkwEbrGA55ygHOctWlhV6RpOe/3la9ARJtqXRhJ6ez6lyzXjUffqcz+npOf3t53wfmbkkIAP/8BV1Vono64jHWW6djpOkedcuWThyUPT32haoTjpWdkx/Ox2Ho04IQMCjBFrqamXDA/9NuJbo9URXk+jnFHcR8Ju5+09rgtEHzbqyatxUn21P6K6W0hoIQAACEIDAoQkgeh+aEVukiIBta/LTj4m2JheckzFbE6cbiN4OifS9muBu2WO8u++d2XF09w3v+AQ/3vTxp2YIeJGA3oj/vC4oQx9p/xBtmHmINmtZwIvdzlqf2v5mq0il/zQBdZNZsUWBAAQgcCgCumpky7NPtxO8C3ofIav/eaOEA1y3D8Uwk38PhSOybk8oIVhFA1fIt5PJUeBYEIAABCCQSgKI3qmkSV0HJGDbmuzYIQuHD4hOfNXWpG75sgPuk64/IHqni2xrvSpM/WKEqTFPJQpTakWgEZkzFgVEJ9UUCEAAAl0lEAhFZP6WoH0tiY/21vcqhr9bgoDSVaYH295fXS1r7rg1+rutoreKVSuvu1rCYRKJHowdf4NAvhMINjXJtmlvmGCXwxKvIcYqaZmxStK/U9xFQJPNX/VmzMdbf1ffKuJ31V2jRGsgAAEIQKArBBC9u0KLbZMmEKivk9JJE6KT3qK+R8uWZ6YkXV93dkT07g69A++rMna1SXoz/mu/6FLIeEFKvQCvn+6TsipEkgMT5C8QgEBnCASN8K0JLMcYP+/464wjfHOD3hmKndsmYoTthtJSmd+vd/T3W4XvIrU5ee+dzlXCVhCAQN4RCDU3y64ZH5pcAD0Srh3zevaQxWePFF9lRd4xcXuH65ojMunb2ApNtRO7x6zYDBOo4vaho30QgAAEIHAQAojeB4HDn1JDQJNeVRcX29FhdpSYmQAvHXdWxm1NnN4gejskUveqItSKnSG58KVYdIgjRqntwDTj3a3bUCAAAQikgoCuFtEEuGc/2/6ao5Fp04paUnEY6jAEQpYlu2Z+kihcYXPCuQEBCByAQMjnk/Kvv4rO+3Xub/8zEd+64rNxy5YD7MnH2SKgeTM+WxqIBq30f9CSS1/zSb3F3D1bY8JxIQABCEAgNQQQvVPDkVoOQsBXXm6L3M6kt/jUE6SmpOQge6T3T4jeqeXb5I/IBwsCMnhiYtSlRndf8bpP1pWHUntAaoMABCBgCIRM8oCN+0LylxfbC99DJrUmygVUagj4q6ps/13nd1xfbZuTa6/C5iQ1iKkFAp4gEG5pkYpffxZNVB9/vVCLkwUmH0D9qlWe6KeXOhE0D5F19dRQ87upAStqR6gWhWuNtzcFAhCAAAQgkOsEEL1zfQRd3v5gY6OUvfpydOJbeOJRsnH8A1ltNaJ3avDbySrrwnLnx7GlkE50twrgz/7SIurvTYEABCCQLgJhcyHaUhnucJWJCt+vFxDxnQr2ts3Jxo0y/3RsTlLBkzog4EUCmpSyurhIik7+c3Te7wjf8/v1keqS+V7sdk73SefyO2vCCQ+PdYXm5ySGzulxpfEQgAAEIBAjgOgdY8G7FBOIhEJ2REfRScfFljWOHiotdXUpPlLXqkP07hqvjrYOBE0yua3BdtYC6uWtdgMFm4Id7cZnEIAABFJOQIXvrQcQvtXqZHoxSbhSAd22Ofn043ZiVomJ3mzaVpaKQ1AHBCCQowQixsqwdumSdg/GVPTWFZ4Vv8zO0Z55u9k1TRG597NY8Mrghy3b19vbvaZ3EIAABCCQTwQQvfNptDPcV39lpay87proDXLxKcfL3h9/yHAr2h8O0bs9k658onYm75UEZJBJcONEduvrwPGW/OsDv+wzmd8pEIAABDJJ4GDCt0atzVyC8J2K8fBXVcqqv18f/V3H5iQVVKkDArlNwA5yWbNG9AGYE9ntvBadfJzs+fyz3O6gR1uv8/l35weic3m1Jbz2bZ+ovzcFAhCAAAQg4BUCiN5eGUmX9UMjwnbP/DQ6+S3sc6Ssvf1mV7QS0Tu5YdApcFVjWP47KxYR4ojeGk35hrER0ORyFAhAAALZIHAw4Xv4o5Z8t4oVKN0dF7U52b9hgxSf3iv6+67iVtFJx8qO997pbvXsDwEI5BgB2/rIXBM0QaUjdDuv9nXh7bdyrEf50dyASS5ftDkog0xkt87lnZWa26oJXMmPM4BeQgACEMgfAoje+TPWGetpxCw118zs8/v3bZ0Aa/KaoaeLZRJauqEgend9FFTM3rA3JJe8kpgwTifJ573gk8UmAQ4FAhCAQLYJqPC9uSIs55vrkvNQznkd8bglczcifHd3jGybk49ntBO4sDnpLln2h0BuEbAF79JSWThyULvrQVHfo2XLc8/kVofypLXmZ1LKqsJyjrEjdH4f9cHw7HX8PubJKUA3IQABCOQVAUTvvBruzHS2pbZG1t93d3QCrJ7eOz/6MDMH78RREL07ASluE01G+dPaoJzxWKKdyQBjZ/KP9/1SsZ+okDhcvIUABLJMQB/SrSsPydinYzf0zo39qCctHtKlYHxsm5Obrov+zmtkZ0HvI2TFX6+UsMnnQYEABLxNQAXvxi2bZZHJ1eNEdjuvdtL6ieO9DSCHe6erNm/5KLZqU5PPP/0zSZ9zeEhpOgQgAAEIHIQAovdB4PCnrhMIt7SYZDU/S0GvHvYkWG+CV/7tKgmbybFbCqJ350ei0fj9qW1J/wcTBW+dID81u0U0oSUFAhCAgNsIBI3wvWJnSEY9kXjt0tUp5zznk037EGa7M2atNifrpfi0ngmCV1HfY6Ts1Ze7UzX7QgACLiegKzqbyspk8dgRCd9/Fb3VznD9f+9z1bzf5Tgz2rxGX0Re/b0lGuGtPt43vuuTFubzGR0HDgYBCEAAApkjgOidOdZ5caTm3btk0agh0UlwyYC+0rh5k6v6jujdueHQjO4PfBmLBNFIyX7m30gjIuGN2zmGbAUBCGSPgHqWLiwLiS7bdiK99VUf4l30sk/2knS3W4Nj25zM+Cj6e+9Eec7v10fqV63sVt3sDAEIuJOALXhv3yZLzh3T7rtv5++55w5We7hz6Gxhe+6GoKjQbc/pzUPgc81D4F217glMcik6mgUBCEAAAjlMANE7hwfPbU0P7N8vm558PDoJtiO+Xn7Rbc0URO+DD4l64m6vCdsZ3NsKRRcboWi9sQ2gQAACEMgFAhq99ltpLFmXc03Tm/6/veWT/SbqjZI8AX91lay++e/R330VvnWl19JxZ0mouTn5itkTAhBwHQEVvJt37LC/385DLudVBe81d9wi4UDAde2mQSI6ty81K5zGTIk9BFbbQv19pEAAAhCAAAS8TADR28ujm8G+RYJBqVm8yCxrPMq++S3odbgsu/A8Cblw8ovofeATI2giI9USQCM/HHFIXwca/+5/Gv9ujf6mQAACEMglApbJS/DF8kA7mya9rt02w49NUzcGszVx9WYpGXRygvCNp283oLIrBFxIQL/rllnNueyi8xK+6/aDrt5H2g+/3DjndyHKrDSpoiEs178Tm9sPmWTJ1Ln4eGdlMDgoBCAAAQhklACid0Zxe/dgvn17ZfmlF0QnwurzWbt0iSs7jOjd8bBowsqfTeb2tlYAgx+2ZNK3fvz+OsbGpxCAQA4QaDL5CaYVxnxMnYd6mp/gsR+48e/OEIb9ftn74/fRXB5O5GfxKcdLxZxfu1M1+0IAAi4gYAveu1TwPj86z3e+55q7Z9Xfr5eQuQ5Q3ElgvxWxE1U6v3uaiP5fH5oHvibQhQIBCEAAAhDwOgFEb6+PcAb6FzRLmLe/9050IqwRXqWTJ2bgyMkdAtG7PbfmlojMWBSwI7qdSbG+Dn3EkunFLFVtT4xPIACBXCNQb278VeCOv8Y517kPF3Kd6854ttTVycbxD0TnAbYg1vMwWThysPiqKrtTNftCAAJZJKCCd9MBLE3sZPXXXSPq709xJwENaPlhdTC60kmTOY+bSk4Ld44WrYIABCAAgXQQQPROB9U8qjMSDktD6UbRyO7Wm9wesujM4RJoaHAtBUTvxKFpMJ62L8xpEZ0IO2KQJqwc/aQlc0zCGwoEIAABrxCobgzLnR8nJujV696Ixy0p3MT1rjvj3GwiQReb338nAlRfC9T24JZ/dKda9oUABLJEwBa8t5V1mLRSBe8V11whwaamLLWOwx6KQCgckTV7QvbvmzO/19+64i381h2KHX+HAAQgAAHvEED09s5YZqUn/upqWXPbzdGbXHs58y+zs9KWzh4U0TtGSj26//dFogBkR4G84JO1ZqJMgQAEIOAlAiZoUXbXhuXSV2PepioG6HXv7Gd9srki7KXuZrQvYZPbo3p+cTS3hyN+F510nOya8VFG28LBIACB7hHQoJbGLVtk8dgR0Tm+851uFbwvd3WAS/d6742999aH5co3Yr916uP9egF2Xt4YXXoBAQhAAAKdJYDo3VlSbNeOQKuP5w8yr2cPe0KsmdvX3nFru+3c9gGit4gKP3vqwnLTu7HJsAo//R+07AnybvM3CgQgAAEvEgiZC+D68pCMmRJb3eJc/6543Sf7zeoXSnIEdJXX1hefbyeSaaJLFdAoEICA+wnYqzg3lcqi0UPbfZdbLU2uJsLb5cNY1xyx8/E4Ed6auPl2k7hZo78pEIAABCAAgXwigOidT6Od4r4279wpC88Y2DohNt6dC4aeLr69e1N8lNRXl++id9gIPpv2heSSVxIFb50Q//MDv6jvLQUCEICAlwkEghEp3BwUTWTpiAL6OnCCJfd95pcwwkDSw+/bt0+WX3ZhglhW0OtwWXbJXyTk8yVdLztCAALpJ2AL3hvWy8IRgxK+w612RSZp5Y3XSsjk8qG4l4Bl8vTMWhaI2hbqSqYLX/JJVQMBLe4dNVoGAQhAAALpIoDonS6yHq83UF8vpY89Ep0Q6/LlnR99kBO9zmfRO2gytS/bEZKxTycK3oOM0PO/L/2iCW8oEIAABPKBgAoDny2NCQOO+K0JfKcVsQQ82XMgEgpJ/epVUnTK8dE5ggpmmuR648QJyVbLfhCAQJoJ6He3bsVyWTDktITvriN4r/7njTy4SvMYdLf6oHlgq/N8/R1zftNGmRw9+hkFAhCAAAQgkI8EEL3zcdS72eeI8e2sWbTQ+HYeaU+KHW+/sPH/y4WSr6J3i4ls1MSUwx+NTYR1QjzERDo+92sLkY25cPLSRghAIKUEdGXL4z+0RMUBRyQY8ZglRSYSnJIcgZBl2T7e88wqMMcHWF8178feH75PrlL2ggAE0kYgHAhIVXGRzD+9d8J31n5gZeb7a277l4RaeBiYtgFIQcVqXbjT5KzQqG7nt2zYZEs+WhRIQe1UAQEIQAACEMhNAojeuTluWW21b99eWXbxuOikeH7/PtKwcWNW29SVg+ej6N1sIho/XRKwl+47E2F9ZTLclTOHbSEAAS8SqDBLvq+bHhMJ9Nqoy8HPe94nu4yAQEmOQEtNjay9547oXMEWv9UKzUSRNm3fnlyl7AUBCKScgObo2Tf7J9FVm/EPqRzBe+1dt4uK4hR3E9Dk9PfOjCWnH/SwJQ995Xd3o2kdBCAAAQhAIM0EEL3TDNhr1QebmmT79Leik+KivsfI1heey6lu5pvo3WCSsr38W4udpNIRvPsZUWfUE5b8up5Ixpw6eWksBCCQcgJOnoMzn0pcBTPgIUv+/p5P1P+b0nUCERN2qLk/Fo0eFp0zqIim/t7LL7+IqNGuI2UPCKScgL0q47NPo6s340Xvwj5HyYb7/y1hs8KT4m4CTf6IvF0UiEZ4a2L6q9/0iX5OgQAEIAABCOQzAUTvfB79LvZdk9vsX79Oik89wb6BLejVQ5aOOyvn/P3ySfTW7O0Tv41FfTgRjOc865Pl+Pt18RvA5hCAgFcJqLA9rzTYbjXMkEmWTJ3Lkv5kx13FspqFC6TQPCBPENNOPNrkBZmcbLXsBwEIpICABrJse+tN+0FU/PdT3xea7+imJx8XfXhFcTcB/f36Pe73SwNbznrGJ1srWank7pGjdRCAAAQgkAkCiN6ZoOyRY/grK+2s7c7EWMXv6pL5Ode7fBC99RZFl+zfPiNR8NbIj0te9UlZFRPhnDtxaTAEIJBWAhoRN704FinnrIw5w/h7F24i0jFZ+MHmZtn+7vQE0VvnEervXfHL7GSrZT8IQKAbBAL798uWp6dIW999/W4W9T1Wtr35ejdqZ9dMEdCVSqV7QzImbqWS5u75eR2/WZkaA44DAQhAAALuJoDo7e7xcU3r7OWPn34cvWktPPEo2TjhQde0rysN8brobSeyqQnL395K9KjVpfrXv+OTKiOGUyAAAQhAoD2Bqsb2DwvV33vcVJ9U7Ofa2Z5Y5z7xV1fLmlv/FZ1D2A/P1d97WD+xdu3sXCVsBQEIpISAv7pK1t51W+L30YjdtuBtHkbt+fyzlByHStJPYJ/5XbpmWmy+r8npnzfJ6SkQgAAEIAABCLQSQPTmTDgkAbU1aSgtlfn9/sjo3rOHLBo7QgINDYfc140beFn0DmnEx75QQuZ2jVYcON6SOz/24+3nxhOSNkEAAq4hoA8NdSXM2cYCyon0dq6ht33kl3CYpf7JDJZaJDRt2yYLzxiYILQV9D5cVlx9GUnykoHKPhDoIgH7e7h9myy7JJaM3n4A9YfgrfP8il9/6WKtbJ4tArXGwnD817EVnTrXv/lDvwRC/E5la0w4LgQgAAEIuI8Aorf7xsR1LdKIkNW3/CN6o1p86vFS+ftvrmtnZxvkVdE7aCa5y4xP99inE8Uazd7+sJkUk4yts2cI20EAAvlMIOrvbQSEeOF76COWvL8gkM9outX3cCAg1cVFxiv4qOh8QgU32zv4iUe7VTc7QwACBycQCYWkbuUK8+BpQML3L7rqYtApUrNo4cEr4a+uIaB2XO+VxOy4dEXSBS+yIsk1A0RDIAABCEDANQQQvV0zFO5sSMjnkz1ffRH1/LMzuT/wX3c2tpOt8qLo3WKS2BQYz1n1no0XaewkbHNaSETUyXODzSAAAQgogQZfRF7+rSXheqrJwdQ3Vf1TKckRCDY2yrY3XmsnuhWf/Gcp/+rL5CplLwhA4KAEwi0tdgS3k4g+Prp7nq7eHD1MGjZsOGgd/NE9BJzElYMmxOb8I5+wZOl2fpvcM0q0BAIQgAAE3EIA0dstI+HCdugyyMatW6Rk4MmtN6g6MR4zTFrq6lzY2s43yWuity8QkW9WBWWw8fGLF7yHmajEDxcSldj5M4MtIQABCMQIVJr8BzeYPAjx11XNjXDd2z7RB42U5Aj4q0xS7L9f3074LhnQV+rXrE6uUvaCAAQ6JBAyiWR3fvCeFPY5st13rqDX4bLssgvFV7Gvw3350H0ENHHlhvKQjH4yNufXVUgfsArJfYNFiyAAAQhAwBUEEL1dMQzubERLTY2sveeO6CS52CS3qZjzqzsb24VWeUn0dpY3qhATL8yMeNySn9aSub0LpwWbQgACEEggEDL+3Wv3hGT4o4nXV11B89JcEoUlwOrCf2xf4bIyWThiUHR+0Wqx0EMWnzVSNOklBQIQ6D6BQH2dlD4yMbpaMz7CW0XwtXfeKpqonpI7BMrrw3Llm7GHsRrt/cAXflZ05s4Q0lIIQAACEMgwAUTvDAPPlcOF/X7Z++P3ZqLcw74p1cnx+v/cmyvNP2g7vSJ67zfL75831iXq4+cI3vpePb0XlrHE8aAnAX+EAAQg0AkCVktEPl0c8011rrUjzYNFzaFASY5AJBi0/YOLTjouQfgu6H2ErLzhbxI2f6dAAALJEdAE9E0mYeXyKy5O+H45ondR36NlyzNTTGLecHIHYK+sENDElf8zArfzO9T/QUuuNgJ4o7kfoEAAAhCAAAQg0DEBRO+OueT1p0529wVD+7VOlnseJgtHDZGW2hpPcPGC6F1nJr4T4jK26wRYBe9xU32y3ix7pEAAAhCAQGoIVDeF5c5PYkKDXm9VbLjKiA0+I4pTkiNg5wyZ9Vn04bojyNmJLR+fnFyl7AWBPCdgJ4ydP19KBp/aseBtVm3u/uzTPKeUe93XlZ3Ti2MPYDXHxFnP+GRLJQ8ucm80aTEEIAABCGSSAKJ3JmnnyLFaamtlw//+E50sq63Jvtk/5kjrD93MXBe9qxrDcven7QWYy1/3yc5aJr+HPgPYAgIQgEDnCaiH6uaKsIyZEltVo8K32py8iM1J50F2sGWgvl42Pf5odL7hCN+tiS2/6GAPPoIABA5EIGj8u3e8/64UnnhUu+/UPBPAsmDwKVJdMv9Au/O5SwloDom5G4MycHzsN0htt35ex4oYlw4ZzYIABCAAARcRQPR20WC4oSma4X3fz7OloFfM1mTtPXe6oWkpa0Ouit5Gd5G9xsvvH+/FvPxUeFE/7xve9YlGI1IgAAEIQCD1BDRh8HcmYXC8nZRef0eZZGJrjO83JXkC/soKWfm3K9uJdHZiy9UktkyeLHvmEwF/TbVtQ+g8OIp/1YSVSy84R5q2bcsnJJ7oq+aWWGd+Y0Y9ERO89YHrC8bekAIBCEAAAhCAwKEJIHofmlHebGHbmpgJcYKtiUk05auq8hSDXBS9VfDeWRO2vftUaHH+adTH7TP8osseKRCAAAQgkD4CNU0RuXdm4iobfeh47ds+CZhIPEpyBKKJLc8YkCh8m5wii84cLr59e5OrmL0gkAcEIqGQNGzcKEvHnZX4/TnhT/b/NSfPunvvkpCJAqfkFgH9VdlTF5bLXosFu+i8/5YP/RII8ZuTW6NJayEAAQhAIFsEEL2zRd6Fx1XP7vX33R2dNHvN1sRBnmuit7O0/uKXY5NeFb01Y/v9JqGNLnukQAACEIBAegnotXhTRUhGxkXc6bV46COWTCsi6q479DVxZc3CBVJ40rHROYhGqmqE6rJL/iKBxsbuVM++EPAkAfXFL//mayk+9YSE740T5V108p9lxzvTPdn3fOiUPmj9z6zYg1ZdaXThSz6pbGBlZz6MP32EAAQgAIHUEED0Tg3HnK8l7PfL3u++jSaUKuxzlKy//98536+OOpBLorcua9xgElOe93yi4D34YUse/b5F9O8UCEAAAhDIDAHLJK78fFksmZiz6kb9vkko1r0xCFmW7P58ZnQe4gh3Bb2PkNX/vFE0QR8FAhBoJaD5dzZOeLDd98X+3qh/97D+9oMkeOUmAV3BOa2wJbqyU39r1E5r+Q7stHJzRGk1BCAAAQhkiwCid7bIu+i4urS4cesWKRl4cmukiL2k+AzRBFNeLLkiejs+fuc8myh4O15+Om4UCEAAAhDILAFNJnybsZVyBG99HWCWnN9slpyHeRDZrcEI7N8vW55+sl3Uqibm2zj+gW7Vzc4Q8AIBtTPZv26tLDnvzHbfE3t1RO/DZfkVF4tVXu6F7uZlH3QF56/rg3bOHud3ZthkSz5exIO/vDwh6DQEIAABCHSLAKJ3t/B5Y2d/dZWsvuUf0cmzLpOsLir0Ruc66EUuiN4qeK/ZHZKznkkUvHUZ/fRiJr0dDCsfQQACEMgIAbU5WW9W4Ax/NJZfQYUJFSU+W8r1ubuD0FJTI2vvviM6J3Eivov6HiNlr77c3erZHwI5S8BeDTHrc1HbEud7Ef9aeOLRUjp5ooRMUnpKbhII/fH7Em+jNcis7hz/tT83O0SrIQABCEAAAlkmgOid5QHI9uE1sc3OD9+PTp41mqr0kYnZblZaj+920TtoBO+VO0Ny5lPtBRWiPNJ6alA5BCAAgU4R0KXn75Yk2pyo3+q5z/mkYj9+q52CeJCNLJO8cvmVl0TnJo6wV2zEvvKvvjzInvwJAt4joCv7/FWVrXl3jHWJ832IvprPSgaeJPtm/+i9zudZj/bWh+WqN2MBL5os+a9v+aSZhPV5dibQXQhAAAIQSBUBRO9UkczBenSJZN3KFdGIkYJePWTpX872fIZ3N4veKnirX5/6wzpLGokgzMEvF02GAAQ8T6DCJBNTMSL+Wm0nGDaJxyjdI6AiX9P2bbL4zOHtBL75p/eWmpKS7h2AvSGQIwTUy75m0UJZNHJwu++Cit4Famdy+UXSvHNnjvSIZh6IQF1zRB7+Jmad1c+sIDrbrPgsq+JB6oGY8TkEIAABCEDgUAQQvQ9FyMN/9+3dK0svODc6iZ7fv4/sX7vGwz1u7ZpbRe9gKCLLjOA96olEwVuX0H+1giXznj8x6SAEIJBTBPQh5ZLtIdGl5/HC9xmPWTJ3YzCn+uLGxtrexWZOohGs0YhWI/LN0yR9Q06ThtKNbmw2bYJAyggEGhpk60svSGGfIxO/A/o9MP/UzmTTk49LiCSvKWOerYqaTZLkjxcHRFcMOb8nOv//eR2/JdkaE44LAQhAAALeIIDo7Y1x7HIvNFmUTpSdG8mik46VHdPf7nI9ubiDG0Vvx9KkbYS3iiffrWLCm4vnGW2GAAS8T2C/LyLPz2mJihQqVvR/0JKLX/FJg/kbpXsEwsGgVJfMNyvSjovOV+x5iybcHj1Umnfs6N4B2BsCLiQQCYelccsWOyGlM09PeP3jwU/lb3Nd2Hqa1FUCARP0srAsJEMmxgTvweb9s7/gzd5VlmwPAQhAAAIQaEsA0bstkTz4f9gkuKn49RezJPII+yZSX1f9/XrR5cT5UNwmemvSytUmaeXYpxOXyY8wgvdPaxG88+GcpI8QgEDuEthTF5YLXkq8fqtgMeUnBItUjGrY75e9338XnbM44p9asi0+e5ToqjUKBLxCQJNV7vnyCyk+rWfig54/ort1zr7y+r+Kz/jeU3KfgN56bTP2Jec9H/sNUR/vf7zvl0AwP+7Lcn8U6QEEIAABCLiZAKK3m0cnDW1TYbtx61ZZMPjU1sm0iRZZOGKQ+Cr2peFo7qzSTaK3Ct7ry0Ny9rOxya5GCmqE92yWNLrzBKJVEIAABOIIqDDxe2nQjvB2lqXr60hjVbXCJCWmdJ9A0CTd3v7uO7a1iSN662tBr8PtXCT+6uruH4QaIJBFAjo/t8rLZc1t/2p3njvnfNEpf5btb78lYRMJTvEGgarGsNz8YZyPt7E3Of8Fn5SbhJYUCEAAAhCAAAS6TwDRu/sMc6oGf1WVrP7njdHokeJTjpeKOb/mVB+621i3iN4hc4OzYW9Izn2uveD9/WoivLs7zuwPAQhAIFMENAHZhLgEZCp6a7SeJrpsIVovJcOg/sZbnn82On9xhEAVvpdd8hdpqa1JyXGoBAKZJqCrGfbN/sn415/c7vxufbhjVjWcOyYv8u5kmn02j6cWWC/OTbTH0lWexZu5B8jmuHBsCEAAAhDwFgFEb2+N50F7E2xqku3vvB2dUBeeeJSUTp540H28+Ec3iN5hI3hvrgjb0RzxkYGatObrlSSt9OJ5R58gAAHvEjCXdHuJelubqqGPWDKtCJuTVI18oL5eNj0+OTqPiRe+l150vhDxnSrS1JMJAhrd7a+slPX/uddEd/dod17r+a1z9Y0PPyRqe0LxDgF/ICI/rUlcITRkkiWvF/B74Z1RpicQgAAEIOAGAojebhiFDLQhYpJB1S5ZLIV9j7En1XZk1MXjJOTzZeDo7jpEtkVvFUe2V4flEpPoLF7wHjbZki+WI3i762yhNRCAAAQ6R8BnRIyvVwQSruv9TMT3mU9ZUmY8WympIdBSVysbHry/nUBoW51ccI74qipTcyBqgUAaCWh+narCAlk4fEC7c9l+mKPJKoeennerMdOI3DVVq7Xh2j0hGfF4LHHlwPGW3PmxX/RvFAhAAAIQgAAEUkcA0Tt1LF1dk7Vnt0n4NDI6sS4ZeJI0lG50dZvT1bhsit46lVWfPl3y3lbw/nQJgne6xpx6IQABCGSCQLXxZ73DCBfx13cVM275yJ83yaIzwbmlpkbW3XdXdE4Ti/juIUvOH2t7I2eiHRwDAl0lYEd3G6vBDQ/cb3vSO+du/GthnyNl7R23snKhq3BzZPtyk/z48tdj9wH9H7TkYhMIU93Ew9EcGUKaCQEIQAACOUQA0TuHBivZpgbq66R00oTozWHRScfJzo8+TLa6nN8vm6J3RUNY/vVBoiCiy9/fX4DgnfMnFh2AAATynoBaV2lyYrWqihe+dSXPrGVc51N5gqiHt20LYSwg4gVDtYlYfOZwadyyJZWHoy4IdJuAendX/PKzHcGdcM4657CJ7taglPJvvu72sajAnQTs/A9fJ94HjDJJj5fvIOmxO0eMVkEAAhCAQK4TQPTO9RE8RPt1+eS+n2dHo0k0ekQzw+dzyZboXdMUkXs/S5zoqn/fK7/j35fP5yN9hwAEvEWgyR+R90ra2Jw8YMm5z/ukYj+RfKkc7ZZaY3Xyv/8kit4qIBrxcOHQflK/ckUqD0ddEEiKgEZ3W3vLZe3ddxzQu7ug9xGy+u/Xi2/v3qSOwU7uJ9DcEpFPFif+NmjgywcEvrh/8GghBCAAAQjkLAFE75wdukM3XCfZjWVlsmDIaa03hHoTOGqI8busOvTOHt4iG6K3RnZM/DZR8B480ZIpPyF4e/hUo2sQgECeEtBVPde+HVu+rlHfgyZY8r8v/HlKJH3dbqmrk43jH+hQ+J7fv69UFsxL38GpGQKHIKC5czRyW8/FA0V3z+/XR3Z98vEhauLPuUwgGIrI4m0hGWLm/s4qIP1N+M/nWF/l8rjSdghAAAIQcD8BRG/3j1HSLfRXV8ua22+JTrKLTzleKufOSbo+r+yYadG7wReRl+a2RCe5tvjxsCXjzfLGMAlrvHJa0Q8IQAACUQJBc21fuj0kg8y13hE49PWMxyz5bWMwuh1vUkMgsH+/bJ7yhB3h3VZYLDr5z3lt6ZYawtTSVQKRUEiajMXOqhuvjc7D256bGt296qbrxNq9u6vVs30OEdAE9jtMAvtxU2MPQtXH+7LXfFJvkbgyh4aSpkIAAhCAQA4SQPTOwUHrTJNDliW7P/s0egNYeOJRsvHhhzqzq+e3yaTorUsZP1oUkH5mabsjfAw0kR33zvRLwER9UCAAAQhAwJsE9IHnC3MSH3g6Ccsazd8oqSUQbGqSbdPeiNq5xQuMhSceLaWPTpKwESIpEEg3gUBDg5S98pIUnnRsx4K37d19spR/9WW6m0L9LiCgCSrv/CRxtefoKZas3s31yAXDQxMgAAEIQMDjBBC9PTjAkXBY9m/YIMWn97In2wW9esjS88eK3hBSRDIlevsDEflxTVAGjo8TvM17TWTpM2I4BQIQgAAEvE1gT11YLnwpFt2nDz/V2uqp2VhbpWPk9YH/LvPAX/OXxIve+t72TP7HDaJR4RQIpIOA5tGpnl8si8eOaHf+Oeejnptr77o9760G08HfjXU2mhwP0woTH35qYmP19qZAAAIQgAAEIJB+Aoje6Wec8SP4qyrNcsnYcsri03pK7dIlGW+HWw+YCdFbo7jnbw3KUJOo0onwHvCQJVdPYymjW88L2gUBCEAg1QQCwYj8XhoUjfB2fgv0deQTlqzYSZRfqnlrfWG/Xyp++VmKTz2hnfCoQQCLzxop+9evT8ehqTNPCdiJKsvLZd19d5mVBj3anXe24N2zhywc3t8+N/MUU95127n+xwe/qI/3A+R2yLtzgQ5DAAIQgED2CCB6Z499Wo4cam423pUfRCfctq3JxAlpOVauVppu0TtkvFx1yeKoJ2MihwoeF77skz314VzFRrshAAEIQCAJAprI+OFvEpe260PQv77lExVFKKknoH7KdatWysKRg6LzISfSVl91JdyeL2el/sDUmHcEdBXljvfekfmn9+7wXNPzrbDvMVI6eZKo7QklPwiEjZH3pn0hOfOpxHuBK173iVpfUSAAAQhAAAIQyAwBRO/McM7IUWxbk3Vro9FN2Jp0jD2dorcmqymrCsv5L8SWs6uf9znP+qR0L1F9HY8In0IAAhDwLgH9XdhmfhfGPh37XdBo76GPWDKtCJuTdI28Rt8279why6+4uEMx0g4KmPCgaLAABQJdJaBWJlXFxbLk3DEdnl8qdhf0PlyWXfIXqV+zuqvVs32OE6hsCMsN78au+f3MNX+MEcDXl3MvkONDS/MhAAEIQCDHCCB659iAHay5bW1N5vfrI/Um0omSSCCdovdeE8l97duJk1xNVrN4O5PcxFHgfxCAAATyh4DP5Hj4ZmUgweJEhe8x5vdhSyUrgNJ5JrTU1cqGh/4XTewdH/Ft250Y0RJRMp0j4K26NcCkafs2WXPrv8w5dSArk8Nkfv8+ZuXlhxI221Pyi8B+KyJP/9zex/vzZfh459eZQG8hAAEIQMANBBC93TAKKWrDnlmfR6NNisxSyq1Tn09Rzd6qJl2id01TRP4zK3EJ+xmPWjJ7XdBbAOkNBCAAAQh0mUB1Y1ju/DjxN2KASW78T5PcOGxssSjpI6AJLnfP/EQKTzo2Ok+KF7+LTv6zbJv2BgJl+obAEzW3mCSoW1547oDnkW1lYhJVrrv3LvFVVniiz3SiawT0Aed3qxLzOAx62JLxX/u7VhFbQwACEIAABCCQEgKI3inBmN1KdAlvyCyzLBl4kn0zZ9uaXHCOhEwyJ0p7AukQvdWfb+qcxKgOXbr+bglRHe1HgE8gAAEI5B8B9XjdYGyuzngs5vGq0d7DJlvyyWJ+K9J9RkSCQalbvkwWjRrSofBd0PsIWX7lJdK4ZXO6m0L9OUZAH5rs+epLOxFl/MOS+PcFvQ6XJeefJTULSnKsdzQ3VQScnD7x13jN6XPVGz5pxMc7VZipBwIQgAAEINAlAojeXcLlzo1bamtk0+OTozdxxaf1lJrFi9zZWBe0KtWit9USkZlLAqITWxUw9N/giZY8/gNerS4YbpoAAQhAwDUEms3vxYxFiTYn6vV6tsn7sLsOG4R0D5QGCfgq9snau+/o0O5ERcziU/4sZa+8JKEADyLSPR5urz9szgEVsZdeeG50jh0vdNvvex4mJQP62knkwyaBKiV/CZSba/hlryVaHJ5pcjmQ0yd/zwl6DgEIQAAC2SeA6J39MehWC3RCXvnbXNEIE518a2Km0kkPd6tOr++cStG7JRiR30uDoksXHcF7oFmuftcnfgmEWK7u9XOJ/kEAAhDoKgFNcHZTXIIz/e0YOMGSuz9ldVZXWSa7vR25++Us0SCBdiKmJiC0o3bHSu2Sxckegv1ymEDEiNeNmzfL6n/ddGDfbp1z9z1aNk6cIOobT8lvArXNEdvCxLkX0NfhxuLwqxU8PMvvM4PeQwACEIBAtgkgemd7BLp5fF/5HllyzujWmzYTbbJozDAJNDR0s1Zv754q0VuXMa7dE5KRT8QE7wEPWfK3t1jG6O0ziN5BAAIQSJ6A/nas2hWSIZNivx2OQKJesJTMENCEhI1btsiKqy7tUPi2AwnUn/meO8QqL89MozhKVgm0rgSosIVsDSLp6IGIfqZWOCuuuVz2r1+f1fZycHcQ0BU8H7dZwTPYBMM88h0PMt0xQrQCAhCAAATymQCidw6PfrCxUba9/mp0Uq5Lcsu/+zaHe5SZpqdC9DYrpGVXbVgufjluGeMDllzwok/21LNEPTMjyVEgAAEI5CaBJn9EphUm5oHoZ35Dxr3gE014SckcgWBTk+z84D0pOuX46HwqQew0AQXFp/aUstdeEY0Qp3iTQKC+XspennrA6H9b7O7VQxaPGS77fv7JmxDoVZcJBM2qzkVl5iGmsTV0orw1AOav03zSbK7zFAhAAAIQgAAEsksA0Tu7/JM+ukYoaYRJ/E3aqpuuTbq+fNoxFaJ3lRElbp/hj05w1ZN1zBRLVu/GzzGfziX6CgEIQCBZAvv2h+XqN2MPTlUwUaush74iOjBZpsnup3Oqpm3bZNVN13UsfJvo3nk9e8iCYf1k98xPJWySYlK8QcB+6PHRB1Iy6JSDjH2rb/eO997B690bw56SXmgAzI6asIybGruO6/3AWc/4ZEslDy9TAplKIAABCEAAAt0kgOjdTYDZ2t1fXS1rbr8lNkE30Se6TJdyaALdFb33mwzsz/2aGKGnvn0/reUm+ND02QICEIAABJSARggu2R5KyAmhwvcZj1l2rggoZZ5AyOeT8m+/kQVDT4/Nr1TwjvtXoNG+Y0fY0b5qh0HJTQI61nu//04WjR6aML7xY63vi04+TjY9+ZhoJDgFAvEEqpvCcs/MWAAMNlXxdHgPAQhAAAIQcAcBRG93jEOXWmEnr/z9t2hynSJNpDPhwS7Vkc8bd0f0toxv36xlAen/YGwZo/qyvjqvJZ+R0ncIQAACEEiCQIN5iPrCnMSHqPr7cvErPtG/UbJDoKWuTjY/M8UkKjzmgIKoJrtc+pezpWLOr4L4nZ1xSuao4ZYWqS4qlKUXnHvAsVWxu9D4ua+981Zp3rEjmcOwj8cJqEXVuyWB6IpPFbzVx/vR77kf8PjQ0z0IQAACEMgxAojeOTZg2lzf3nJZOu6s1sm6WW67+KwRosszKZ0jkKzoHTBReQu2BhN8+wZNsOT+WX4Jm8RkFAhAAAIQgEBXCZSbPBDx+SFs8cT4wz7xI+JJV1mmcvtIKCRNW7fK6n/9PRpk0DYKWP/viN+ViN+pxJ/yujRgpHbJYll+5SVmPA87oOCtSSpX/vUKqV+1MuVtoEJvEND7gRJzP6B2VHq91n+Oj7cGx1AgAAEIQAACEHAPAURv94xFp1oSam6Wne+/G52sk7yyU9gSNkpG9A6bJcxbjT/fOc/GfPt0gnvddBLVJMDlPxCAAAQg0CUCKqAUbQ7aookjoOjriMctWWgSpFGyS0DF0rqlS1rF0jibk7YCuIrfi88dI+XffI3nd3aHLOHo6r++f81qWXXD3w798OKCc+wo8IQK+A8E4gioo9G26rCc93zsfkB9vMc+7ZPNFfh4x6HiLQQgAAEIQMAVBBC9XTEMnWuELp9tKiuTkgF9bdHbjka59mqW1XYOX3SrZETvyoaw3PRu3AT3AUvGveCTPSZCjwIBCEAAAhDoDoF6KyKP/dDe5uSy13yiy+gp2ScQ9vul8re5suS8M6OBB22Fb/v/ZgXewhEDZadJjhiyrOw3PE9boJH6+zdulNW3/tOOxu9wrOxI/R62r7f6e2NTk6cnSxe6XW0S2d/5cXsf769WBLpQC5tCAAIQgAAEIJApAojemSKdguNoEp3SyZOiN1vzT+8l9SZ6hdI1Al0VvVWMmDI7UYwY+YQli00CMgoEIAABCECguwRU1t5VG5bzzcPU+Gjvwcbm5OmfsTnpLt9U7m8nQPzxe1lyzujofKxDQdVYaMzvf6JseeYpY0u3N5VNoK6DEFCxu2FTqay9/WbR4JAOx0Yj9s3DiQVDTpNdMz4UjeanQOBQBPQB5NtFiT7eanEy4Wv/oXbl7xCAAAQgAAEIZIkAoneWwHf1sJFw2Ba4naRKhSceRfLKrkL8Y/uuiN6+QES+XJ6YuHLYZEtmLOIGKUn87AYBCEAAAh0QaAlG5LeNwYREySqAjzQ2J0t5yNoBsex+1Gnx2wishScebZIi3iZ1K5Znt9EePrqK3Y2bN9nJJw8udh9mr5jc/tabROJ7+HxIddccGyrN5eM8mNSkw1e+4ZNGkg6nGjf1QQACEIAABFJGANE7ZSjTW1FLTbU9kW9dOnuYHZ3iq6xI70E9WntnRe+g8Vldsi0kQyfFJrga0fHwN0R0ePTUoFsQgAAEskpAVxZN/i5xZZEjrJAgLatDc8CDq/hd8esvsuzicQeOKv7DC1x9v5ecN0Z2fTyDBOQHJNq1P9iR3cbGZO1dtx0isttE3psVkltfekECjY1dOwhb5zUB9fHeWhWWs+Py+qiP95inLFlfzqrPvD456DwEIAABCLieAKK364dI7IRI1fOLo56ERX2PkbJXXsqBlruziZ0RvXWCu8Mkqhk3NbbUXBNXXm8SV/rIzO7OgaVVEIAABHKcgP727KxJTJKmUYVDzMPXF+Zgc+Lm4Q23tEjNooWy8rqrzXytx8EFcGN9UnzqCbLhwfulfjU2dcmMq1qS1C5bKqtuujY6P+7QysSwLjrleNn81BPSUluTzKHYJ88JVBkf71s/SvTx1lWfny5h1Weenxp0HwIQgAAEcoAAoncODJKvYp+suOqy1hso40G4+MzhEmpuzoGWu7OJnRG9q5vCcvensQluP5O4Ur1Wd9eRuNKdo0qrIAABCHiDgNqczNnQgc2JySWxYidRhW4f5UgwKA0m8njdv+8Rx5KuQzE2Lvp78dgzRO02fFWVbu9e1ttnJxSd97ssv/wi48t92EEfLqjYvenJxwzXqqy3mwbkJoFG4+P9ekHi6hu1OLl/Fqs+c3NEaTUEIAABCOQbAURvl4+4Tu73moRJzg1T0cnHye7PZ7q81e5u3qFEb01U81abRDWauLJka9DdHaN1EIAABCDgCQJ1zRGZ+G3swatGe6vNydXTfOI3uSYo7icQMWH7fiNib33xBSkZfGp0HufM5zp6LehzlKy49mrZ89UX2J+0GeJAQ4Ps+ugDWXL2qEOytMXuJx5F7G7DkP92jUDAPICcVxqUgeNjNod6Hb70NZ+oFRUFAhCAAAQgAAH3E0D0dvkY+faWy9ILzrEn+OoFqZ6RYZOsh5I8gYOJ3tEJblyimqGPWLYInvwR2RMCEIAABCDQeQK2xZaxOTnnuZjFlmNz8tJcbE46T9IdW6rv977ZP9qr9nQu15Hg3fazopOOldX/ukn2/fRj3q7uU7/uprIyKZ04XopP63lwbn9YxmyyxW4i5t1x5uduK8LmIrylMixjn068Bo9+0pKVu7gPy92RpeUQgAAEIJBvBBC9XTziepOk0T7OjVCxWaapyZIo3SNwINFbJ7ib9oUSJrgDjfh972d+CYeJ6OgedfaGAAQgAIGuEFCbk1/Xt7c5GWVElzV7EF26wtIt29oi7rZtUvroJJnfv290fufM8w70WmgE8FU3Xit7vpglLXV1bulO2trhJAdd8dcrD+7XrRYxRuwuGXCSnesmH9ikDToVJxCoND7e//wgcbWNBsG8vwAf7wRQ/AcCEIAABCDgcgKI3i4eIF/5Hll89kj7pqig9+F2hJCLm5szTTuQ6F3ZEJYb341FdOgSxstYwpgz40pDIQABCHiNgNqcTPgmUXjRpMrXvu0TXZlEyV0CdvS3CWRYdePfpLDPkZ0WwAvMtssvu1C2vfm6NG7ZnLsA2rTc8ULfOHFC5x4ImBw3C88YIDs/eE9CltWmNv4LgeQJNPgi8vJviT7eGgRzz0y/qG0RBQIQgAAEIACB3CGA6O3SsdIJ/K5PZkRvgopPPUGqi4tc2trcalZHovd+4833zC+xCW4/45865ilL1pUTTZdbo0trIQABCHiHgOor243NydnPxh7IOjYnbxZic+KFkW71/q6S7W9Pk6V/OdtELveIzv0OFPntfF7Qq4csGHq6rP/vfbL3+++kpbYmp5DYfa+ulu3vTJcl5515yMSU2u+C3kfI0ovOl/Jvv5GwSRpKgUAqCegKm7kmkbA+XNRrrf7TZPYXveyTmiYE71Sypi4IQAACEIBAJgggemeCchLHsHbvlkWjhvwR5X2Evaw1iWrYpQMCbUVvTQr2w+rEJeTDJlvyxXKWMHaAj48gAAEIQCCDBPxGhJm9NvE3SoWYMVMs2VwRzmBLOFS6Caj9SfPOHVL20lRZfNaITonAjgDeKggfLovHniEbHrxfyr/60tS1M91N7nL9KnQHGhtlrxGt1bKl8MSjOiXyayJ3Fff3r13T5WOyAwQ6Q8CxOdSgF0fw1ldNZr9kO0EwnWHINhCAAAQgAAG3EUD0dtuImPbYUd4ffxS9CdDkPbXLlrqwpbnZpHjR+8KLLpY1u0My4vHYBHfww5ZM/o4IutwcXVoNAQhAwHsEao3NyYNftrc5+ft7PgmRc8J7A256pAJ4Y9lWWwBfcv5Y423d+QjwqBCuyR1P7yXLr7xE1DZk98xPpH71agk2NWWMmYrcQbN6sc7MY9WSZcXVl0th32Oic9xoW9Wfu80/7fOikYPtKHj8ujM2ZHl7ILU5vCHO5lAFb/XxnlbEPUHenhR0HAIQgAAEcp4AorcLh9DaY7y8x5oInz+Wca76xw0ubGXuNile9B485mK5/PXYsnFdznjddJ/4WljCmLsjTMshAAEIeIuA2pyUVYXlzDYRiCrIvPo7goy3Rrt9byLhsGielx3vvC3Lr7rUREcf3U4gbisYH/T/xkJlvhHDl447W9bcfotsee4Z2f35TKkumS9N27bZkdjtW9H6iYrYIb9f/JWV0rh1i9StWC5V836X8q+/ku3vTrfrWn//v2XVDX8TFevn9+/TJcsWbXfRScfJurtul5qFC/BQPtBA8HlKCew3Pt7P/RqzOVTBe+B4S26f4efBYkpJUxkEIAABCEAgswQQvTPL+5BH08RGe2Z9Fr2ZsaO8lyw+5H5s0HkCjuj9f/0//5+ceM1H0SWM6tl37nM+2VnLcvHO02RLCEAAAhDIBAGfseL6blXQ9pd1lt5r/gkVZnYY329KfhCwI6dNpHbFnF9tu4+Fwwd02QbloIL4H9HWmkBdI7KLTz1edC5afMrxUmT+X9Dr8OgctTP1dHYbPZ56mu+c8ZEEGhryYzDppSsIqM3hT2sSLaT0nuCCF32i0d8UCEAAAhCAAARylwCit8vGzldebpL5jIlFeRu/Q0pqCajoPWT4aPl/+1wjp9/fHBW9z3jMknmbSIqUWtrUBgEIQAACqSKgidTunZloc6ICuEYjqhhKyT8CaoOiUeC7jHXJmtv+JQuGnJYWEbyz4nVXtlP7koUjBsnmZ56Sxs2b8m/w6HHWCYTMdXO9SVqvvt3Ow0R9VdvDkq3cE2R9gGgABCAAAQhAoJsEEL27CTCVu+ty0fJvvo5G0BSfeoLUlJSk8hDUZQjsLt8rg8bdLCfdtTs6wR0yyZJXWCLO+QEBCEAAAi4mYCdaq2gv0JB82cWDluGmqRWKv7pK9v38k5Q+9ogsv/wiYzFyomuE8II+R8qyi8dJ2Ssvyf716zNMh8NBIJHAvv1huWZazOZQBW+9J3htHrZRiaT4HwQgAAEIQCA3CSB6u2jcfPv2yvJLL4hGea+89moXtc4bTdE4uLJ9Pjnl9pVRwRvPPm+MLb2AAAQgkA8ELJNz4vNlgehvmIo0jmvTprAAACrFSURBVD3XvnqW4ufDOdDVPuoqgMD+/VK7eJHs/PB9KX1kou25vWjMMCk86dhosEVXorQPuq3xDC86+c+y8IyBtgf5+v/cK9unvy21y5eJ2vhRIOAGAvVWRB77ob2P9y0f+iUYYuWMG8aINkAAAhCAAAS6SwDRu7sEU7R/OBCQqoJ50Ugc9VCs/G1uimqnGodAbXNE/vdFbGm4CgUXvuSTKjz7HES8QgACEICAywlUNYblNmNpEr8cf+AES/79ud/lLad5biOgkeEtdXVSv3aNiQ6fLTs/eF+2vviCbJz0sGx44L+y/t/3yLp777L9wzc89D/ZZKLHt0593haxd8/8VPb9+INUFRVK/coVJglmmamrVsKmTgoE3ExAcyR8szIg/R+M2ZroPcG4qT6pMNHfFAhAAAIQgAAEvEEA0dsl4+ivqpRV/7ihNcrbJAladtH5+HOmeGyaTXTcx4sSo+NGPNYsS7aHUnwkqoMABCAAAQikj4DanGzYGxLNRREvfA9/1JKf1uJDmz7y1AwBCOQ6gVA4Iqt2hUSvl/HXT/XxLt7C9TPXx5f2QwACEIAABOIJIHrH08jSe01CVGeWfBb0PsIWvXVJ6J4vZmWpNd48rC5TVHF7yMTYBPfU+/bJWXd84M0O0ysIQAACEPA0AX2Q+1GbB7kaqXjBiz7RZfsUCEAAAhBoT2BPXVgue629jze5fdqz4hMIQAACEIBArhNA9HbBCLbU1tjLRm1/ROODuPisERIydieU1BAwAXGyqzYsFxgbEyei49T7auTYi9+Xiy++JDUHoRYIQAACEIBAhglUGmuuOz5OtDkZbB7uPvkTSdgyPBQcDgIQyAECanP44JeJ10zN7XMzPt45MHo0EQIQgAAEINB1AojeXWeW0j00uVBDaWk0kVCRSSi04+23UnqMfK+spiki/5kVN8G9v1F63zRf/u//9/9nRO+L8x0P/YcABCAAgRwloMv0q42/d/wqJn24O/IJy16+n6PdotkQgAAEUk5AV8d8sCDR5tDx8d5LEuCU86ZCCEAAAhCAgBsIIHpneRQC+/fLlqeftG1N5vU8TBYO6y+BhoYst8o7h9cJ7ocLEye4p/97l5wy+q/yf/7P/0H09s5Q0xMIQAACeUvg5d9aoiuZVPQe8JAl10/3iVp7USAAAQjkO4GAuRYWbQ7KoIdjNod6rRxh8iLo5xQIQAACEIAABLxJANE7y+PavGOHlAw8yRa9C088WjY/9WSWW+Sdw+vN/qKyRB/vYZMtefbrHTJ48GBEb+8MNT2BAAQgkNcE1KP2wpdjFl4q5ujvnXp+UyAAAQjkMwFN/Lu5IixnPZN4jRwyyZLXC7CCyudzg75DAAIQgID3CSB6Z3GMg83Nsv3d6a1R3if8SUoG9BVr9+4stsg7h1Yf7501YRk3NTbBHTTBkv994Zc9e/YgentnqOkJBCAAgbwn0BKMyG8bg9L/wVgUYz8jfJ/zrE/2sWw/788PAEAgnwlo7oMb343dD+hDQfXxvvMTv6hFFAUCEIAABCAAAe8SQPTO4thaRnxdPHZEa5R3nyNl/X/uzWJrvHVo9fG+77OYj7cKAVe87pMGXwTR21tDTW8gAAEIQMAQ0ARt+mBXBR3nnz7sfcB8RoEABCCQjwTqrYg8NTvR/knvCS5+xSd6r0CBAAQgAAEIQMDbBBC9szS+Yb9f9n7/XTTKe/5pvaR+zeostcZbh1Uf7xlmSbdz06/Rbmc+Zcn68pDdUSK9vTXe9AYCEIAABEScJfyaxNL5/dPXM/Cs5fSAAATykIAvEJGvVwYSVsDoNXH0k5as3NV6T5CHWOgyBCAAAQhAIK8IIHpnabh9Fftk+ZWX2KJ3Qe8jZNWN12apJd46bNAsU1y+IyRDjU+fc9OvvqazlsV8TRG9vTXm9AYCEIAABFoJtH3oq7+DGtV4uVnp5DMPhCkQgAAE8oGAcz+g9wDO/YC+6v8/WRy7J8gHFvQRAhCAAAQgkM8EEL2zMPrhYFCqS+bLvJ49bNG7+NTjpfK3uVloifcOqcm8Ln015tunWdof+ipxaTeit/fGnR5BAAIQgEArgQrjX3vt27HfQRV6NGHbq/NI2MY5AgEIeJ+Anden1iT3fSnxOqj3BOPb3BN4nwY9hAAEIAABCOQ3AUTvLIy/v7pa1tx2c2uUd6/DZemF50lEZ2iUbhFQ377J38V8+5zoNvXxji+I3vE0eA8BCEAAAl4iEAxFZPG2kAw0ft7xEY5jpliytTLspa7SFwhAAALtCFQ1huX2GYn5DQY8ZMk103zS5E+8J2i3Mx9AAAIQgAAEIOApAojeGR7OSDgs9WvXSGGfo2zRu+jk42T3Z59muBXeO5zf+PZ9vyqY4Ns32tzgr97d3rMP0dt740+PIAABCEAgRkAfAk9pk7xt4HhL7vg4ceVTbA/eQQACEMh9AhroMnVOLABGH/xpbp+znvHx0C/3h5ceQAACEIAABLpMANG7y8i6t0Ogvk5KJ02wBe95PQ+TRaOHSsgktaQkT0CTd23YG5L45F1DH7HkgwUde/YheifPmj0hAAEIQMD9BDSWcadZ3n/Oc4nL+4c/asnsdUH3d4AWQgACEOgiAU1c+W2bABgVvbnudREkm0MAAhCAAAQ8RADRO4ODqRYmjWVbpfi0nq1R3n2PkbJXX85gC7x5qErjX3rDu7Ebe13Sfc9M/wEtYxC9vXke0CsIQAACEIgR0BVQ3xkBKN7iRG2/Ln7FJ41tbL9ie/EOAhCAQO4RUFunpdtDMswEvcRf8zSfwdS55DPIvRGlxRCAAAQgAIHUEED0Tg3HTtUSbGyUsldeikZ5LxhymrTU1XZqXzbqmIAuY3z5t9gyxn4PWHbimuqmA/uWInp3zJJPIQABCEDAWwTU2/bWjxK9bVUEehERyFsDTW8gkMcENC3StqqwnP9CLABGhW/H0kkFcQoEIAABCEAAAvlJANE7g+Nu7dolC4cPsEXvwhOPlk1PPJrBo3vvUIFgRAo2Be1JrRPVMeJxSxaZBF4HK4jeB6PD3yAAAQhAwCsEQuGIrNoVksETE6MfNanlFpJaemWY6QcE8ppApXm498/3Ex/u6aqWS1/1SW0zgndenxx0HgIQgAAE8p4AoneGToGQZcnumZ+2Rnmf8CcpGdBXrN27MnR07x3GjuqoNn6lz8aiOjR67fWCQy9hRPT23vlAjyAAAQhAoGMCuiLqhTaJ3TQC8naSWnYMjE8hAIGcIdBR0l5NXHnm0z5ZX37wIJic6SQNhQAEIAABCEAgaQKI3kmj69qOvr17ZekF57ZGefc5Stbf/++uVcDWCQTUvuTuT2NRHXoDf/OHfunMEkZE7wSU/AcCEIAABDxOYJdJanne87GHxLo6SpO7/bSWpJYeH3q6BwHPErBaIvL50oCotaGz4tO5tn2/mmubZweejkEAAhCAAAS6QADRuwuwkt00HAhI5dw50Sjv+af3kv3r1ydbXd7v12wmuTMWBaITXJ3snmd8/MrrD+zjHQ8N0TueBu8hAAEIQMDrBDSppYpA8cKQ/nZe9DJJLb0+9vQPAl4kEDA+3SVbgzKkjXWTWjk99+uhV316kQl9ggAEIAABCECgPQFE7/ZMUv6Jv7JSVt14rS16F/Q+Qlbf/PeUHyNfKlR/0tW7TXb2ybGojjMes+S30s5HdCB658vZQj8hAAEIQMAhoEktb5sRWyGlArjagqn1CQUCEIBArhAIG4/D0n0hGWssTOIf5Omqz9tM4l4VxCkQgAAEIAABCEBACSB6p/k8iIRCUrtsqajYPc94eRefeoLULChJ81G9W31FQ1iufTs2ydWIjqd/7toNO6K3d88PegYBCEAAAh0TcJJato2MHP2kJZsrOrdSquOa+RQCEIBAZgionL2nLixXvhG7F1DhWxNXXvKKT9T+kAIBCEAAAhCAAAQcAojeDok0vbbU1sj6/973R5T34bLiqsvSdCTvV9toknG9+ntLNKpDJ7jXTPOJz9iddKUgeneFFttCAAIQgIBXCGhSy6kdJLXUCHAKBCAAAbcTqGmKyL0zE1es2Ikrn7Jk7R4SV7p9/GgfBCAAAQhAINMEEL3TSDxilt81lJZK4UnHtkZ5n3K87Jv9YxqP6N2qdaniwrKQDHo4Zmsyeool65LIzI7o7d3zhJ5BAAIQgMDBCew2SS3PN3kw4m0BNKnlDyR+Ozg4/goBCGSVQEcP7fQ6RlLerA4LB4cABCAAAQi4mgCidxqHJ1BfL5sen9wa5d2rhywdd7aEwyy7Swa5LmXUhFvOTfrQRyx5Z34gmaoE0TspbOwEAQhAAAIeIKBJLVXg1kSWzm+qndTyJZJaemB46QIEPEnAMtetL5YHbBsT57qlr5qX4NV5XbM59CQgOgUBCEAAAhCAQIcEEL07xNL9DzXKu7FsqxSf1tMWvYtOPk52fz6z+xXnYQ31VkQe+yFma6KJam4xiWrUnzSZguidDDX2gQAEIAABrxDQpJa3t01qaXJkPP8r4pFXxph+QMArBHS15/wtQWmbj2DQBEv+87nfBBQldz/gFT70AwIQgAAEIACBAxNA9D4wm279JdDQIFtfeM4WvOf17CGLzx4poUBykcndakiO79wSjMicDcFoZIdGo53znE92m8jvZAuid7Lk2A8CEIAABLxAQB8ar94daiciaVLLTfvwxfXCGNMHCHiBQNgEEW3cG5IzjWd3fIT3gIcs+dtbPmnyI3h7YZzpAwQgAAEIQCBdBBC900S2eccOKRl4UmuU90nHyc4P30/TkbxbrZnnyrbqsJz9bMzWRH37vlsV7FanEb27hY+dIQABCEDAAwQ68sfVlVS3mpVUulqNAgEIQCCbBPQqpPaGl78euw9Q4VsDYMaZvATdCYDJZr84NgQgAAEIQAACmSOA6J0G1sGmJtk27Y0/orwPk0Wjh0nI50vDkbxdpWZo/8+sWIZ2Xcb44Jf+bnca0bvbCKkAAhCAAAQ8QOBASS27+3DZA2joAgQgkGUC1U1hufOT2H2AE+k9yqxIWbqdFSlZHh4ODwEIQAACEMgJAojeaRgma/cuWXjGgD+ivI+VHW+/lYajeLtKn0lY8+WKQDTRVv8HLbn4FZ+ov3d3C6J3dwmyPwQgAAEIeIGAJrX8aU37pJYXmqSWGglOgQAEIJANAjrfnzI7ls/HEbyHTbbshJbZaBPHhAAEIAABCEAg9wggeqd4zELNzbJrxoexKO8Rg0QjvymdJ+D49418IubfN+JxSxaWpSaqA9G782PBlhCAAAQg4G0CHSW1HGySWj5HUktvDzy9g4BLCahP93slscAXR/DW69LTP5Ns16XDRrMgAAEIQAACriSA6J3iYbH27JHFY0e0Rnn3PUbKXn05xUfwfnV6A37zh7HljEMmWfLCnNRNchG9vX8O0UMIQAACEOgcAU1queYASS1LTQI5CgQgAIFMEXBWn2iiSkfs1lfNN3CXsToJhliBkqmx4DgQgAAEIAABLxBA9E7hKKpv956vvohGeS8c1k8C9fUpPIL3q7JaIvLp4kB0outkZ9dJcKoKoneqSFIPBCAAAQh4gYBambw0N9FKQEUmfQBNUksvjDB9gID7Caigvcis6hz2SKLgrfcCf30LyyX3jyAthAAEIAABCLiPAKJ3CsfEt7dclv7l7D+ivI+Wrc8/m8LavV+V2ppsMFFlamXiRHeMnmLJ+vLURpohenv/XKKHEIAABCDQNQJ76sIybqov+vurv8P453aNIVtDAALJEbCtDfeFZOzTidegfg9Y8hdzXdptrk8UCEAAAhCAAAQg0FUCiN5dJXaA7UN+v5R/83VrlPcJf5IFg08Vf3X1Abbm444ItPUVVVuTNwtTZ2viHBPR2yHBKwQgAAEIQKCVgD9oklqubZ/U8rznfVJtbMcoEIAABNJBwMS8yK7asFz6ahvB2zx4G2OCX1btSm3wSzr6QJ0QgAAEIAABCLiTAKJ3isbFV14uS847MxrlveWZKSmqOT+qUVuTz5cl2ppcP90nAXMTnuqC6J1qotQHAQhAAAJeIFDdFJa7P43l1NBo70EPWzLha78XukcfIAABFxJom8vHWe15xmOW/LI+6MIW0yQIQAACEIAABHKFAKJ3CkbK9vL+4vOYl/fQftJSU5OCmvOjCl3SWGqWNI58ItHWZEOKbU0cmojeDgleIQABCEAAAjECtsWAsRlTsckRnvRVbcfmb0F8ipHiHQQgkAoCdc0R+6Fa/PVG3w81vt7TiwOpOAR1QAACEIAABCCQxwQQvVMw+NaePbL4rJF/RHkfI1unPp+CWvOnCo0su9NkZHcmvDrRnVaUelsThyiit0OCVwhAAAIQgEAigSZ/RN4tia280t/m/g9acsXrPvGZVVkUCEAAAqkgoAl0p85JTKCr15vBZnXJ5O/Sdx+QirZTBwQgAAEIQAACuUEA0bub4xSyLNn16SexKO/hAyRQX9/NWvNnd18gIl8sj91ca4Z229bEZHBPV0H0ThdZ6oUABCAAAS8Q2Lc/LFe/meivq3k2XvkdIcoL40sfIJBtAs3mAdqHCwOiiSqdoBd9HTjekttm+NNib5jtPnN8CEAAAhCAAAQyTwDRu5vMrT27ZdHoYdEo77JXX+5mjfmzuy6j3lwRllFxtiaasKbULK1OZ0H0Tidd6oYABCAAgVwnEDQPnheWhWwBKl6Q0t9o/d2mQAACEEiWgAa8fL86KBroEn990f//9S2f7DcR4BQIQAACEIAABCCQCgKI3t2gGGpulp0ffRCN8l40cpAEGhu7UWN+7aq2JvfMTLQ1easo/f59iN75dZ7RWwhAAAIQ6DqBeisiT/6UaD0wwERh3vyhX8JhRKmuE2UPCEBAE9QXbQ7KkImJgrdaKF34sk/K63moxlkCAQhAAAIQgEDqCCB6d4OltXu3LDRC97wT/iRFJx0r2996sxu15deuGuXx9YpEW5Mb3/VJII22Jg5hRG+HBK8QgAAEIACBjgmYxViyoyYs5zyXaHMybLIls5al/wF1x63iUwhAIFcJBM3DshU7ExPXa6S3Wpyc/awv7Ss9c5Ub7YYABCAAAQhAIHkCiN5JsguaKO/t770Ti/I2Fica+U05NAG9kd5SGRZdJu0sa9T3m/al19bEaRmit0OCVwhAAAIQgMCBCfjNA+ofjA1BvO+uvj/veZ9UNRCReWBy/AUCEIgnoJaGOs9v+xBN7wNGPWnJom2ZuQeIbxPvIQABCEAAAhDwPgFE7yTHuHnnTlkwtF80ynuHEcApnSNQ0xSRf3+eaGsyvThzUWOI3p0bJ7aCAAQgAAEIqBXZXZ/EfrNVpBo0wZL7Z/mBAwEIQOCQBJxVI5e+mrhqRK8lwx+17Adrh6yEDSAAAQhAAAIQgEASBBC9k4AWbGiQspen/hHl3UMWjx0hIZ8viZryb5e2UWOatEZtTTRpVqYKonemSHMcCEAAAhDIdQIaobmhPGSLU87qLEes+mltMNe7R/shAIE0EtDZvfp0X/t2e8F76COWvFuSuaCXNHaTqiEAAQhAAAIQcCkBRO8uDkzE3Pw1btkixaf1bI3yPvk42f35zC7Wkp+bO5Ee6tvn3DirrcnmiswukUb0zs/zj15DAAIQgEByBJr8EVuccn679VVtTsZN9Ul1Y2Z/w5PrAXtBAALZIFBpbJA0+W38tUPfDzaJLJ/+uSUbTeKYEIAABCAAAQjkEQFE7y4OdqC+TkofedgWvAt6HS7LLjpfwiF86DqDsd6KyGPft0QnvhrhMa0o8xNeRO/OjBbbQAACEIAABGIEVLy6wazMihevsDmJ8eEdBCCQSEDtDO/7rL3grdeN/33hl5BJbEmBAAQgAAEIQAAC6SSA6N0FupFwWOrXrJbCvsfYonfxKcdL5dw5XaghfzcNGPuS4i1BUTsTvWHW17++5ZOWYOYnvIje+Xse0nMIQAACEEiOgApUq3aFZOikWBJq/T1XT15sTpJjyl4Q8CqBuuaITPq2veA9cLwlt3/sF7U7pEAAAhCAAAQgAIF0E0D07gLhlppqWXvXba1R3r2PkJXXXdOFvfN70737w3LZa7EIsZFPWLJiZ3Yi5BG98/tcpPcQgAAEIJAcAbU5eWd+ICHaG5uT5FiyFwS8SmC/LyLP/Rpb2emsDtGAl5vMahG9jlAgAAEIQAACEIBAJgggeneSciQYlJoFJVJgxO55J/zJ9vSuW76sk3vn92aNZvL72rzY5Fd9/J7Joo8fond+n4/0HgIQgAAEkidQYWxOrn8n9hBbBS1sTpLnyZ4Q8BKBRiNov1kYm/PHC95XT/NJrYkAp0AAAhCAAAQgAIFMEUD07iRpf2WFrLz2KlvwLuxzpKy9+45O7pnfmznLoYf8sRy6/4OWXPKqT1QIz1ZB9M4WeY4LAQhAAAK5TqDt77ojamFzkusjS/sh0D0CzS0R+WhRQHSu71wX9NWZ+++rJ+lt9wizNwQgAAEIQAACXSWA6N0JYuGWFqn4ZbbM63mYLXrP73+iNJWVdWJPNqlsDMs/3495+p3xmCUFm4JZBYPonVX8HBwCEIAABHKcgNoTTC9ub3Ny/gs+qTKR4BQIQCC/CFhG8P5saXvB27E/2lbNdSG/zgh6CwEIQAACEHAHAUTvToyDr3yPLDl3TGuU94lHSekjEzuxF5s4E2An2mPQw5aM/8qfdTCI3lkfAhoAAQhAAAI5TkBtTq6bjs1Jjg8jzYdAtwlYJinlF8sD0WT1zrxfBe+zn/HJ+vLs5PDpdseoAAIQgAAEIACBnCeA6H2IIQw2Ncn26W/ZgrdGei8Y1k98VZWH2Is/R4x7yZbKsIx6snWJo058NQKs2kR+Z7sgemd7BDg+BCAAAQjkOgG1OVm5KySOfZkjdKnNyXersruiK9fZ0n4I5AoBnxG8v10ZkIHjEy1N+hlbk9FTLFm6HcE7V8aSdkIAAhCAAAS8SADR+yCjGjHKbePWLTK/Xx9b9C466VjZ/va0g+zBnxwCmqjmf1/EbE30JvhrMyl2Q0H0dsMo0AYIQAACEMh1Ampz8lZRe5uTc57zye667D/kznW+tB8CbibgN4L3j2uCdiJb56GX8zrqCUuKNvPwy83jR9sgAAEIQAAC+UAA0fsgo9xSVycbxz9gC94FvXrI0nFnScj4e1MOTqAlGJFf1wejiWw0+uOOj/2iDxHcUBC93TAKtAECEIAABLxAQG1Orn070eZEf/dv/cgvGg1OgQAEvEfAb+b6P68zgrexLnSEbud1pBG8fy9F8PbeqNMjCEAAAhCAQO4RQPQ+wJhFQiGpXbxICvscaYvexaccL5Vz5xxgaz6OJ7C7NmxbmejkV5c3jjV+fjtq3BPxhegdP1q8hwAEIAABCCRPQIXt1btDMmxyovg19BFL3pnvjhVeyfeOPSEAgbYENLhlzoagDJmY+J3Xef8Ik7BeA18oEIAABCAAAQhAwA0EEL0PMAr+ygpZ+bcrW6O8ex8hq/954wG25ON4AvutiDz9c0s06kNvet8rcddNL6J3/IjxHgIQgAAEINA9As0tEfl4UaLNiQpg6um7jiR23YPL3hBwEQEVvOeZKO62Xv76fT/DCN5qd0KBAAQgAAEIQAACbiGA6N3BSIT8fin/9htb8J53wp9kfv8TpXHzpg625KN4AsFQRBZvC0W9/QY8ZMn1032in7upIHq7aTRoCwQgAAEIeIFAdVNY7vwklstDRbD+D1pyzTSf+IwoToEABHKbgArev28Miga06Pc7/p+bcvfkNmVaDwEIQAACEIBAKgkgendAs3nXLlk0crAteheeeLRsenxyB1vxUVsC6uv5t7divp6jnnRnhBeid9uR4/8QgAAEIACB7hEIm7wdWyrDMuapRDFssLFAeGo2+VC6R5e9IZBdAk6+no4sTdTaaNYyd63qzC4tjg4BCEAAAhCAgFsIIHq3GYlAQ4NsffH51ijvnofJwhGDRBNaUg5OQJc2f7AgtrRZlz2+MMedN7mI3gcfS/4KAQhAAAIQSIaAPxCRn4y9gUZ4x0eBqu1B0WZsD5Jhyj4QyDYB53utD7Div9f6XgXvTxYjeGd7jDg+BCAAAQhAAAIdE0D0juMSCYdl/7p1UnTyn23Ru+jk42TXxzPituBtRwQ0uqt0b8j28tMJsN7sXvaaT5r97lzOjOjd0SjyGQQgAAEIQKD7BOqaI/LIt4k2J/0esOTCl3xS0+TOeUH3e00NEPAmAZ95kPXdqqAMerhjwfsj4+VPgQAEIAABCEAAAm4lgOgdNzL+6mpZc9vNtuBd0OtwWX7ZhRIOheK24G1HBPQm9t6ZsRtcjegq3OTeiC5E745Gkc8gAAEIQAAC3Segsvbu2rBcYETu+KjQQRMs+e8sf/cPQA0QgEBGCKjg/fWKgAw0393477IT4T1zCYJ3RgaCg0AAAhCAAAQgkDQBRO8/0IVbWqRizq8yr2cPW/QuPvUEqVm0MGmw+bKj3yS1+WltUDSKSyfBGgky/it339QieufL2Uk/IQABCEAgGwQCJoF1yVYTHdpGLFMrhE8RyrIxJBwTAl0iYBnbws+NT/fA8e0F7+Hme/zFcgTvLgFlYwhAAAIQgAAEskIA0fsP7L7yPbLk3DG24F3Y50hZf9/dWRmQXDqoRnPtMtFc5z3fGs2lwre+rzIJLd1cEL3dPDq0DQIQgAAEvECg0ReRV35vSYgQ7Wcejmuiy/XlrKLzwhjTB28SaDL2hO+VBNp582twi67m/HYlgrc3R55eQQACEIAABLxHANHbjGmwqUm2TXvDFrznmeSVJYNPFau83HujneIe1VsRmTI7dkM7/FFLvjTLIN1eEL3dPkK0DwIQgAAEvECgwjwEv256os2J5v248g2fqChOgQAE3EWgwXwvX5zbEl3BGW9rMsII3rq6kwIBCEAAAhCAAARyhUDei94Rk4SxYVOpFJ/W0xa9i/oeI2Wvv5or45e1dgbN0uVF20JRnz9d/njbDL8oT7cXRG+3jxDtgwAEIAABLxDQRNca1T3yiUSLBNsK7Wt3W6F5gT99gEBXCHSUhNYRvUc8bsmcDQjeXeHJthCAAAQgAAEIZJ9A3oveLbU1sv7f99iCd0GvHrbFScjPjdihTs19Jnrrmml/2JqY5Y5nmuXKZVXutjVx+oTo7ZDgFQIQgAAEIJBeAn6TDO+H1cF2Vgnq7z3LeAZTIACB7BOobgzLPXFJ6R2xWy2JRk+xpMDFCeqzT48WQAACEIAABCDgVgJ5LXqHg0GpLi6Sgl6H26J38SnHS8Wvv7h1rFzTLvX6m14ciPp0Dn3EkmlFLa5p36Eaguh9KEL8HQIQgAAEIJA6AmqH9sSPMTs0FdRUTNMH5qV78fdOHWlqgkDXCOgCzfL6sNz0bqINkf0dNbl6zn7GJ8t28B3tGlW2hgAEIAABCEDALQTyWvT27dsnyy+7sDXKu/cRsuofN7hlXFzbjlA4Iqt3h0SFbp0QD3jIkr++5ZOWoPttTRyoiN4OCV4hAAEIQAACmSGw1whrV72ZKKypv/fV5jN9mE6BAAQyS0Dth7ZVh+UK47HvRHY7r5qc/i8v+ngoldkh4WgQgAAEIAABCKSYQN6K3iHLkt2fzbQF73kn/Enm9z9RGrdsTjFe71VXaZY//v292OR41JOWrNyVWxEgiN7eOy/pEQQgAAEIuJuA89D8DJMMzxHW9HXww5ZM+hZbOXePHq3zGoGgCWJZuTMk5zwXm9M730t9GHXF6z7ZXZcbtoVeGxv6AwEIQAACEIBA6gjkrejdvGOHLBjazxa9C088WjY9+XjqqHq0puaWiMxYFLM1GTLJkhfm5I6tiTMsiN4OCV4hAAEIQAACmSPgM/7eX60IiEaROgKbvg5/1JKvV+LvnbmR4Ej5TMBvVmf+uj5of+/iv4f6XldwXv+OT6qbELzz+Ryh7xCAAAQgAAGvEMhL0Tuwf79seWZKa5R3z8Nk0aghop9RDkxAl0BuML6bToSWRoHoMmWfEcJzrSB659qI0V4IQAACEPAKgbrmiB3ZHS+2qb/32KexUvDKGNMP9xLQAJYPFwRk4PjEB0/6fdTPbvvIL42+3Jvbu5c4LYMABCAAAQhAIJsE8k70joTDsn/tGik66Thb9C46+TjZ8/ln2RyDnDh2lbE1uW2GPxqZNfJxK2cT2yB658QpRyMhAAEIQMCjBPYY24RLX020VdCH6Ze/5hNNekmBAARST0C/W1N+amm30kIF70HGZmj8V37xm9UYFAhAAAIQgAAEIOAVAnknevurq2XN7bfYgndB78NlxVWXStgI4ZQDE7BMVMjny2K2JoMnWvLsL7lna+L0ENHbIcErBCAAAQhAIPME1N97hfETHvZHUmwn6lsjTe/6xC/6dwoEIJAaAmaxpuzbH5bb44JXnO+cvqpd4RuFLRLRDSkQgAAEIAABCEDAQwTySvQOBwJSOe93KejVwxa9i0/rJXUrlntoOFPfFbU12VwRllFPtC6DtCOxTHKbZn/uTowRvVN/nlAjBCAAAQhAoCsE1N/7y+UB0XlFWwHuxbm5+2C9KwzYFgLpJqAPkDbuC8llZhVF/PdM36ut0Egzv/9+dTDdzaB+CEAAAhCAAAQgkBUCeSV6+/bulWUXnWcL3oV9jpIND/w3K9Bz6aA1TRG5d2bM1mSEsTVZtC2US11o11ZE73ZI+AACEIAABCCQcQL7jd3C0z+3tBPjNLHl7HUIcRkfEA7oKQKasHKOSVipwnY7wdskkz33OV/OWhV6aqDoDAQgAAEIQAACaSOQN6J3yLJk16ef2IL3PJO8csGQ08RXWZE2sF6oWKOwvlsVjHr/qa2JegHmekH0zvURpP0QgAAEIOAVApUmZ8g/3kuMQiWxpVdGl35ki4Amo3xtXosMeKi94K2rK658wyc7arB3zNb4cFwIQAACEIAABDJDIG9E7+adO2Xh8P626F3U9xgpe/3VzBDO0aOorV9ZVVjOfCpma6JLI72Q0R3RO0dPSpoNAQhAAAKeI+DMN857PlH4VmFO5x11zblrp+a5waJDrieg36e99WG503jjt43u1v+rb/6tH/lJGOv6kaSBEIAABCAAAQikgkBeiN6BhgbZOvX5P6K8e8jis0dKyOdLBT/P1qG2Jv+dFZswq61JyVZvLDVG9PbsaUvHIAABCEAgBwkEQxFZVBayE+rFC3Uq0Kl4R2LLHBxUmpxxAkHj371qV0j+8mLiAyTnO+Ukog+Y7xsFAhCAAAQgAAEI5AMBz4vemom8oXSjFJ1yvC16F5/yZyn/9pt8GNuk+6i2Jt+uDCTYmjz2Q+7bmjhAEL0dErxCAAIQgAAE3EHAaonIrGWxuUe8UPfcr96Zg7iDNq3wGgGdu39j5u7DHmlvZ6J2QaOetOTHNd4IXvHa2NEfCEAAAhCAAATSR8DzondLba1suP/ftuBd0PtwWXH15aJCOKVjAmHDZnNFWEabybHecDrLi71ga+L0GNHbIcErBCAAAQhAwD0E6k1iyymz2ye2HDbZkhmLAu5pKC2BgIsI1JrVmY98548GqzgPjJx5/KWv+qR0b24noXcRbpoCAQhAAAIQgEAOEfC06B0JhaR2+TIp7HNka5T3aT2ldumSHBqezDe1uiksd3+aaGuyeLu3JsqI3pk/rzgiBCAAAQhAoDMENLHl39sktlTx7ozHLJm7kUjVzjBkm/wgoLY/68pDoqJ2vNDtvB84wbLn9PowiQIBCEAAAhCAAATykYCnRW9/dZWsvuUftuCtwvfau+/IxzHudJ+dpcXOZHnIREue9+CSYkTvTp8SbAgBCEAAAhDIKAFdjLetOizjpiYKeWrRoMm11bOYAoF8J6Bz9i+Wd2xnovP4oZMseaOgRcJGGKdAAAIQgAAEIACBfCXgWdE7HAxK9fz5UtDrcFv0nt+/jzRu3Zqv43zIfqutyXoTLaIJK3WyrLYm10zzid94BHqtIHp7bUTpDwQgAAEIeImARrCu2ROyfYidB/H62u8BS/7/7N3NSkJBFMDxJ2nRA0RLlXqAiBYtWwUVCb1BYBitI1oUEURE0DaCXqAiu8vAXUVBbgw0JaK8N79Oc5KbXigQFMHD/24ugl/zGwfGM2fOzGz7kis1LDWXtiDQtYDOyl/dbojU2d/lTHSMTG36cvXAroiuUXkiAggggAACCJgVMBv0DooFyS7Nt7K8x0blLp0y24n9aFjhvSELR+2sKj3wRv9wWrwIelvsVdqEAAIIIGBJoFpvSuaxJrrrrDPwrYvyc/u+lD/tLcpb6j/a0n+BmhsTt7m6zO605+udYyO+VpHl40Be3lgU6r8+74gAAggggAACwyhgMuitWd4lz3NZ3iM/QW8vPi6VfH4Y+2cg31kPqdy7bB8cNelOfj+4tntgFEHvgfys+BAEEEAAAQR6EvDdbrPzbE1iqWjgO+aCe0kX3LO4G60nMF5sVuAjaMphpiqJdHQshEHvCVfOZPfiSzQwzoUAAggggAACCCDQEjAZ9A6KrpZ3cvE3y/t+Y53+/kdAM6luXCZVwh12oxNnzRJZOQlEtxZbvQh6W+1Z2oUAAgggYE0gDPaFwb3wrvOW1dOAmsXWOpz2RAS0/OCzK+ejizzhb7/zruVMprd88Z4oZxKB4wECCCCAAAIIIOAEvgEAAP//xy6kJAAAQABJREFU7N0HeFRV+sdxO7q6llXXdZUiVooISi/SFBV7YdW1r2VXXf27dhFBUEGxd0UUXQXXtmLFupJC70VqIECAQCAhjekz7/+cG+cmQ9okmXLL9z4PTyYzt5zzOTc6+eXMe3YTh22RUEh2LJgvGe1aytSTjpLp3U4Rz8aNDutlYroTiYhsKAzL+S94pfODHunykEcGP+eVTcXhxFzAomfZtGmT9OzZU5o1ayaXXHKJRVtJsxBAAAEEEEBACxR7IjL6W7/xXkW/X4n+6znCI2Om+EFCwJECvkBEpiwNyoDRlfd89N7XX7sP88htH/ikoNTZ79sdObh0CgEEEEAAAQRSIrBbSq6Swov4dxTJ8qEPGIF3ZvtjZPnDD6bw6va6VNHOiAz93Gf+8nj6Yx757tegvTrRiNYSejcCjUMQQAABBBBIo8D28rD834eV71mi4V+vRz3yws8E32kcGi6dYAE1J0X0/T7iS590HVpz4K3fs0+YFpBwWO/NhgACCCCAAAIIIFCTgKNC74iauly2Zo1kn3qSEXpP69xWylavqqnfrn/Oq2aPfDY/YMzu1r849hzukZFfueOXRkJv19/+ACCAAAII2ExAR3ub1SfRrhpX8em0aOitv/Ye6ZFxWe54D2OzYaO5DRQIBCMyY03Q/BRm1ftcP9Yh+GWveWXpplADz8zuCCCAAAIIIICA+wQcFXoHy8pk7WuvGIF3RrtWsvi2W9w3onH0OKRmheg3y30fr5g9ot9AX/GGV8q87pgtQugdx03CLggggAACCFhMQJdly90elotfrjn4fnd6wGItpjkIxC9QrD6B+fQPfun2cM2zu3U5n8e+9stOnzver8cvx54IIIAAAggggEDNAo4KvXXt7lkDehmht57tXThjes29dvmzW1Xtv2veqvyFceCTHlniohkjhN4u/wGg+wgggAACthUIq+R79dawnPd85fuY6GxYPeP77WyCb9sOrksbHgxFZP76kFz6SvV7Wt/bes2ds572yk/LnV+C0KW3AN1GAAEEEEAAgSQJOCb0Dvt8kv/VlxWzvNu2kPmXs0BhTfdMiZrN/dxPlYtB6V8QJ7hsZhShd013Bs8hgAACCCBgDwH9ibVlm0Ny9jPVQ0JKndhjDGllhUCpel/+6i9+6fFIzbO79WKV/5zoky0OX2Se+wEBBBBAAAEEEEiGgGNCb9+2All047UVs7w7nSD5X3+VDC9bn1PXCfxlZdD82KR+I33nJJ/rFsEh9Lb1bUzjEUAAAQQQEB18L8oLyRlPVQ8L9eKWr06lxje3iXUF9Ozuher+vVyVF4x+UqHq1y5qhnf/0R75aG5A9JpFbAgggAACCCCAAAINF3BE6B0Jh6Vk2TLJbN9KprZpLrMH9ZNwgI+3Vr0d9PvldaoO5jnPVry51h+VPP8Fr2wtCVfdzRWPCb1dMcx0EgEEEEDA4QI6+F68MSSDxlYPDnX94zFT/EY47nAGumczgWJPxacuu9cyu7ubmpRy07teWVfovvfoNhtKmosAAggggAACFhdwROgdKC2VnOeeMWZ5Z3U4TnLfeM3i7KlvXpFaHOfBz3zmbBK9iKWe9e3GjdDbjaNOnxFAAAEEnCgQXZy7plInumSEfu/jCzBT1oljb7c+BdTs7lm5IbmohoVYjdrdana3fn+uF2TV9zUbAggggAACCCCAQNMEHBF6ezapBSwH9jZC7xk9Oolv+/amqTjsaK/6ZW/ywoCxEI5+U61nPz3xjXs/9kvo7bAbnO4ggAACCLhaQAeEusZ39NNsVctE6FJut3/gE107mQ2BdAjoT1tuLwsb7727PVy9HI++X/Xz1473Gou0pqONXBMBBBBAAAEEEHCigO1D77DfL1t//MEIvDPbHyPLH37QiePU6D6F1TvtFfkhoy6gflPddahHrlD1A8t97v3lj9C70bcTByKAAAIIIGBJAf1+Z/XWsFxcwyxaHShe+aZX8oooF2HJwXNwo/SnDH5YFqzxDzL6fbmu3a1nd0+YFhBd55sNAQQQQAABBBBAIHECtg+99azuJbf/wwi9p53WVkp+/TVxOg44U4GaWXLLvyvLmgwY4zEWznFA1xrdBULvRtNxIAIIIIAAApYV0DNqN6g6yFe/Vb3Gt17LZLBa12T++pBl20/DnCOg/wiTq9bSuUMtGK/vvaqfPog+1p9CuPk9n6zdxh9jnDPy9AQBBBBAAAEErCRg69Bbr2ZelrNaMk85TjLatZRFN1xjJdu0t2WnPyLvzwyYb7R7PeqR1zPcW9YkOiCE3lEJviKAAAIIIOAsAT1XVi/SfZsqaRINF6Nf9aza/qM98tUid65p4qyRtm5vytSnKcdnBaTPyJrDbn0fDlD34UdzAxKmdrd1B5KWIYAAAggggIDtBWwdegfLyiT39VeNWd7ZnU40ypzYfkQS1AFd33LJxpD5hlt/tPf6t72iF9Fx+0bo7fY7gP4jgAACCDhdYIdawHvEl9WDbx2A67VNnvrOL/4g74mcfh+ksn/RhSove7X6Jw2if3jprhZXvfNDn2wuZnZ3KseGayGAAAIIIICAOwVsF3p7N2+S+UMuklVjnpDoApYZbZvL3PPPVrMleAMZvY0LSsNyw4TKN926rMliFYKziRB6cxcggAACCCDgfAG9fsnbqlZyTYsH6uf+pt4n5RM+Ov9GSHIPdSmTTeo+Gvq5z1g7JxpwV/1qlNd5zivf/cqnDJI8HJweAQQQQAABBBAwBWwXeu9ct06mdW4n8y4+T/K//KJilnfHE2Tz5M/NTrn9gfFLXnZsWZM3MilrEr0vCL2jEnxFAAEEEEDA2QJ6IcHvlgalz6jqpSZ0EHnOM17JXk0Q6ey7IHm9M0qZqPfcejHKqiF31ce6vODY7/1S5uWTBckbCc6MAAIIIIAAAghUF7Bd6O3Jy5MZfbpIZofWMufcMySjbQsVgJ8r4RCzmPXwRsua9P6tjmA3tUiOXsiSFeErb35C70oLHiGAAAIIIOB0Af0eaOGGkJz/QuUn4KqGkrrciQ4ldUDOhkA8Aro0ztSVQbnopZrvKX1/6U8TXKdKCy7bzO8o8ZiyDwIIIIAAAgggkGgB24XevoICY8HKqScdZdbyLvj5p0S72PZ828rC8o/3K2pY6oVyBo31GqvH27ZDSWg4oXcSUDklAggggAACFhZQFSiMUib/p+opVw28o491QHnlm15ZkU9AaeFhTHvT9OSSnIKw/HOST/QnBaL3T9Wv+vkznmShyrQPFg1AAAEEEEAAAdcL2C70DgcCsi0rUzJPOU4yT26tans/7vpBjAJ4/BH5ZF5lWRM92/tt9ZFLtlgBQu9YD75DAAEEEEDALQK6HMU4VfKtu/okXNWgMvr4dFUGRb8eYJFLt9wScfVT/9FETyzRC6DqTwZE75ddv/Yc7pFH1QKq29W+bAgggAACCCCAAALpFbBd6K25ImrBSn9RoZSuWplePYtdfY2aeTJQLVip34BHP1KpV5JnixUg9I714DsEEEAAAQTcJKAD7Wk5QRn8bM2lKfR7qCve8LIAuJtuijr6qtfKeW9GQAaMrj3s1uUEb3jHK0s28UmBOih5CQEEEEAAAQQQSKmALUPvlArZ6GJ61fjojJMBKvzmjXfNg0foXbMLzyKAAAIIIOAWAT1zd0tJWO7/rPYyFXoBwqd/8EspCxC65baI6aeu8f7DsqBc8GLNfxzR77mji6F+tSgoEX1TsSGAAAIIIIAAAghYRoDQ2zJD0fiG6Nncur5g16EVM1D0xy6f/dHf+BM6/EhCb4cPMN1DAAEEEEAgTgGPCjYnLwxIvydqnsWrQ82znvbK5AUBCat6zmzOF9Dvq/XCp3rmdnQySU1f+6hSOC/+7Jcy/iji/JuCHiKAAAIIIICALQUIvW05bLGNzlczla4ZX/HGXP9ydvHLXt6AxxLFfEfoHcPBNwgggAACCLhaIKxm6G4oCsudtSxyqQNPXfJEv9daoMJQNmcKRBepvPsjnzmRpKawu8cjHrnvE5+sL6RutzPvBHqFAAIIIIAAAk4RIPS2+UjqOoPvTKtcvPL0xzwyZWnQ5r1KbvMJvZPry9kRQAABBBCwo4BXzfr+dklQznyq5lnfOgDVgacORfUn7NicIaD/6LFpR1hGqAUo9fjWFHRH//Bx3dv84cMZo04vEEAAAQQQQMANAoTeNh5l/SZ91ZaQ9H284g16d7WIzh2TfDbuUWqaTuidGmeuggACCCCAgN0EdFnmraVheVQFoHp2d20BqC4lp/fJLyb8ttsYR9urx3p7WVieUyUBe4+sfax1+cALVV3v736lbnfUjq8IIIAAAggggIAdBAi97TBKtbSxaGdEqi5eeYaambR2G7981cJlPk3obVLwAAEEEEAAAQRqEAiqus6LN9Zd17mLmvmt6zqPmeKXLYTfNSha96lST0TGZwek/+jaw25dMnCgWhj+vekB0YtasiGAAAIIIIAAAgjYS4DQ217jZbZWL7IzfU0wZhbSS2oxHbb6BQi96zdiDwQQQAABBBAQ0SVPvl4clMHP1r6oIeG3fe6Unf6ITJodMBYnrW0Wvx7P09UfM57/yS/FKhxnQwABBBBAAAEEELCnAKG3PcfN+OjttVUWr9S1vFk9Pr7BJPSOz4m9EEAAAQQQQKBCQL/H0muoDKhjZrAOUXs/WlH2JHc7n7yz0r3jUWH35IUBOe/52v94ocevlypbM/IrytZYaexoCwIIIIAAAggg0FgBQu/GyqXxOI+adfTp/NjFKyfNCqSxRfa6NKG3vcaL1iKAAAIIIGAFAV0DurA8Ii+oGcB96qgBrcNTvSDiPR/7ZOmmkBWa7to26Jn636kF3i99pe6wOzpelAl07a1CxxFAAAEEEEDAgQKE3jYc1LyisJzzTMWbd73I0s3v+SSifxNji0uA0DsuJnZCAAEEEEAAgRoE9ELiW0rCMvb7uhdA1OG3XmT8hne88vOKoITCvFergTMpT+mw+4dlQRnyWt1htx6fW9T7aF2/nQ0BBBBAAAEEEEDAWQKE3jYbT/3x2ld/8Yv+RUr/0wvw8Ea9YYNI6N0wL/ZGAAEEEEAAgeoCDQm/uw71GKU1/j0jQJ3o6pQJe0YvOPnT8qD85fW6w249aUSXCZy5lrA7YficCAEEEEAAAQQQsJgAobfFBqSu5ujJ3Ku3hqXv4xWBd4/hHnlksq+uQ3itBgFC7xpQeAoBBBBAAAEEGiWg358VlIaNsid6MkJ0YkJNX6OLXur3b0xaaBR3jQfpmd3f/xqUK96oP+y+XAXiU1cFazwPTyKAAAIIIIAAAgg4R4DQ20ZjuWNnREZ+6TN+mdK/NA0a65WNO1goqaFDSOjdUDH2RwABBBBAAIH6BHT4Xazeq+kFL8/+rQxdTcF39Dk921gHsJ/MC0iJ+iQfW8MFyn1qnRvld9HLdYfdeqb9Jaqu9xRV3ztMmZmGQ3MEAggggAACCCBgQwFCb5sMmq4DuWBDyFgYSf+y1OtRj7z4s98mrbdWMwm9rTUetAYBBBBAAAGnCXj8EfliYUCueLPuMFa/p9MTGXqr93X3feqT6Wuo/V3fvdCQPy7osPtiFYh/sxjX+lx5HQEEEEAAAQQQcJoAobdNRnR7eVju+s9vs7wf8sj5L3ipCdnIsSP0biQchyGAAAIIIIBAgwQCwYjMWx+S//vQZyxqGZ3lXdtXHdKe9bRXnv7BL8s2U2+6KraeALKhMCxPfec31rSpzVA/rx317O+vCburEvIYAQQQQAABBBBwlQChtw2GOxiKGAvt6Dfw+o18n1EemTgrYIOWW7OJhN7WHBdahQACCCCAgFMF9KKXm4vD8tL//EaoXVdgG31Nv++7QE1yeEUtYJ5T4N5ydj71h4Ps1UG57QOf6JIwUZ+avmqzS1TY/dWioOj3z2wIIIAAAggggAAC7hUg9LbB2G8rC8ut6o2+fnOv38xf9qpX9Or0bI0TIPRunBtHIYAAAggggEDTBfSiiz8uC8rN79Uf4kaDXf3+T3/K79kf/cYCmBFd48PBm+7edvX+d8L0gFzwYv0lYnQYfvVbXvl5BTW7HXxb0DUEEEAAAQQQQKBBAoTeDeJK/c4BNUslU60w30WVNNG/+Jz+mEc+X8As76aMBKF3U/Q4FgEEEEAAAQQSIRCd/f36VH9cwW7VAFwvZj78C5/8T4W8O9Vijk7Z9B8EflkZlDsm+aTH8LpndWuP7o945Nb3fTJnHaVgnHIP0A8EEEAAAQQQQCBRAoTeiZJM0nkKSsPytwkVM1z0LJ8r1YJIfFyzadiE3k3z42gEEEAAAQQQSKyArv2tFywfPtknA0bXH/ZGA3C9CGbPER7jveJbWQH5dVNIdO1rO21B1d5VW0Iy5lu/nPFk/X03Fv4c6ZFhymo5dc/tNNS0FQEEEEAAAQQQSKkAoXdKuRt2Mb/6BUh/TDP6i42e5T1labBhJ2HvagKE3tVIeAIBBBBAAAEELCKgS9jpT/nd96nP+IRf9H1gPF/1JwP7Pu4x6l/rEHyumgHt9VsvBI/Och+fHZC/vOY1P9FYVx/15I/znvfKhGkB2bHTen2yyO1DMxBAAAEEEEAAAQR+EyD0tvCtUHWWt65VeN3bXgnbbPaOFXkJva04KrQJAQQQQAABBHYV0KVLdLmPBz/zSf8GzACvGh7rEiCXvuKV+1WIPl4F4VlqUcgtalHNVNYF1yG3Dqoz1bWfU3XJ9fo0OsSu2s7aHkdLmGSoPwTwPnjXO4TvEUAAAQQQQAABBGoTIPSuTSbNz+ta3vrNfbSWt56189NyZnknYlgIvROhyDkQQAABBBBAIJUC+hOAs3ND8vjXfmPGc20hcTzPG2VRVM3sC9TimLom9pgpfvlgZsAI2Ffmh4yAuq6AWS80qWek68XWc7eFZVFeyAi0v1oUlPfVeV782W+UH/mHOrcO3PX72HjaFd1HB+KDn/PKa6re+SYV0LMhgAACCCCAAAIIINBQAULvhoqlaP8C9UvELf/2Gb8g6Fne14xnlnei6Am9EyXJeRBAAAEEEEAgHQK6bvf6wrC8Oz0gN73rld6PNixUjobLdX3VwbM+b78nPDJQ1doeOKbicW9VT1u/N63r2Ma8ZtTqVte77xOfzFwbYlZ3Om4srokAAggggAACCDhIgNDbgoOpZ3lPywmaH/uklndiB4nQO7GenA0BBBBAAAEE0iugZ13PWx+SF//nNyZK9FKLWzYmeE7HMT1U+ZUb1aLtn80LSLGHWt3pvZO4OgIIIIAAAggg4BwBQm8LjqX+qOjtEytmeetZNleN84qe0cOWGAFC78Q4chYEEEAAAQQQsKaAnkCxbHPIKFmiZ05f/LJXeqhyJukItXe9pi7dp2eP/+s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" } }, "cell_type": "markdown", "id": "dc1caa6b-3034-404d-a46a-d13be61ba5b1", "metadata": {}, "source": [ "
\n", "\n", "
" ] }, { "cell_type": "markdown", "id": "2321f204-b5fc-4846-bbb3-b442311ae60d", "metadata": {}, "source": [ "Im Bild sind zwei Kurven und ein Punkt aufgezeichnet, um die Visualisierung übersichtlicher zu machen. In blau sind hierbei die noch nicht verschobenen und in rot die verschobenen Punkte (Kurven) eingezeichnet. Wie zu sehen, werden alle Punkte um einen gleichen Vektor $a$ verschoben und insbesondere der Ursprung wird nicht auf sich selbst abgebildet." ] }, { "cell_type": "markdown", "id": "ba98a5e0-917e-4a68-972e-88047d11cc49", "metadata": {}, "source": [ "Wir wollen unser Verständnis für Translationen noch weiter verbessern, indem wir versuchen, bekannte Konzepte wiederzufinden. Zum Beispiel kann man sich leicht überlegen, dass Translation - mit einer abgewandelten Version der Definition aus der linearen Algebra - keine Eigenvektoren besitzen. Also es keine Vektoren $v \\in V$ gibt, sodass $t_\\alpha(v) = v,$ außer wenn $\\alpha = 0.$
\n", "\n", "Weiter kann man sicherlich einfach feststellen, dass die Verknüpfung zweier Translationen $t_\\alpha \\circ t_\\beta = t_{\\alpha + \\beta}$ wieder eine Translation ist und die Verknüpfung $t_\\alpha \\circ t_{-\\alpha}$ der Identitätsabbildung entspricht. Wenn man also die Translationen als Gruppe bezüglich der Hintereinanderausführung als Verknüpfung auffasst, so handelt es sich um eine (abelsche/kommutative) Gruppe." ] }, { "cell_type": "markdown", "id": "3e646c22-d72f-49f3-b527-3cb488fec08b", "metadata": {}, "source": [ "***" ] }, { "cell_type": "markdown", "id": "c3c530ef-08a2-4931-af1b-e882b8732198", "metadata": {}, "source": [ "Bevor wir nun endlich zur Klassifizerung der Isometrien im $\\mathbb{R}^3$ kommen, müssen wir noch eine andere Klasse von Isometrien betrachten. Solche, die den Ursprung fixieren. Also Isometrien $f,$ sodass $f(0) = 0.$" ] }, { "cell_type": "markdown", "id": "3ef97c7e-19c2-4bce-afdf-80a0ad9ea65c", "metadata": {}, "source": [ "Tatsächlich lässt sich zeigen, dass Isometrien, die den Ursprung fixieren, linear sind. Mehr noch, solche Isometrien sind sogar orthogonale Abbildungen, wie wir sie in der linearen Algebra kennengelernt haben. Hier nochmal die Kriterien, damit wir eine Abbildung linear nennen:" ] }, { "cell_type": "markdown", "id": "8ddc4dcd-e627-4ce7-9cc2-19c5c37e98fb", "metadata": {}, "source": [ "
\n", " Definition lineare Abbildung
\n", "Wir nennen eine Abbildung $\\varphi: V \\to W$ zwischen zwei $K$-Vektorräumen linear, falls für beliebige $v,w \\in V$ und $\\alpha \\in K$ gilt, dass
\n", "1. $\\varphi(v+w) = \\varphi(v) + \\varphi(w)$
\n", "2. $\\varphi(0) = 0$
\n", "3. $\\varphi(\\alpha v) = \\alpha \\varphi(v).$\n", "
" ] }, { "cell_type": "markdown", "id": "6443fb91-cc77-4939-a57e-b33a51bfccd4", "metadata": {}, "source": [ "Die Linearität solcher Isometrien wollen wir nur anschaulich verstehen. Das formale Zeigen der Linearität sei hierbei den geneigten Lesenden als Übung überlassen.
\n", "Sei also $f$ eine Isometrie mit $f(0) = 0.$ Für $v \\in \\mathbb{R}^3$ und $\\alpha \\in \\mathbb{R},$ sind dann sicherlich $0,$ $v$ und $\\alpha \\cdot v$ auf einer \"Linie\". Wenn man sich nun klarmacht, dass Isometrien \"Linien\" auf \"Linien\" abbilden, so ist klar, dass $f(0) = 0,$ $f(v)$ und $f(\\alpha \\cdot v)$ auch auf einer \"Linie\" liegen müssen. Dies zeigt die Linearität noch nicht ganz, da aber die folgenden Umformungen sehr mühselig sind, setzen wir sie mal in einen orangenen \"weiterführenden\" Kasten:
\n", "\n", "
\n", "Also ist $\\beta \\cdot f(v) = f(\\alpha \\cdot v).$ Wobei nun, da \n", "$$d(f(\\alpha \\cdot v), 0) = d(f(\\alpha \\cdot v), f(0)) = d(\\alpha \\cdot v, 0) = \\alpha \\cdot d(v, 0) = \\alpha \\cdot d(f(v), f(0)) = \\alpha \\cdot d(f(v),0)$$\n", "womit\n", "$$\n", "\\alpha \\cdot d(f(v),0) = d(f(\\alpha \\cdot v), 0) = \\sqrt{f(\\alpha v)^T f(\\alpha v)} = \\sqrt{\\beta f(v)^T \\beta f(v)} = \\beta d(f(v),0) \n", "$$\n", "Also $\\beta = \\alpha.$ Womit die Verträglichkeit mit skalarer Multiplikation gezeigt ist. \n", "
\n", "\n", "Die Verträglichkeit der Addition kann ähnlich mühselig gezeigt werden, indem gezeigt wird, dass $d(f(u+v), f(u) + f(v)) = 0.$\n" ] }, { "cell_type": "markdown", "id": "0d4051cd-c776-462f-bf31-c1ee9b34079c", "metadata": {}, "source": [ "Wir wollen nun noch verifizieren, dass lineare Isometrien tatsächlich orthogonale Matrizen als induzierte Abbildungsmatrizen haben. Dafür hier nochmal die Definition einer orthogonalen Matrix:" ] }, { "cell_type": "markdown", "id": "60a47f58-711b-424f-9fab-5623859ed8a9", "metadata": {}, "source": [ "
\n", " Definition orthogonale Matrix
\n", "Eine Matrix $A \\in \\mathbb{R}^{n \\times n}$ nennen wir orthogonal, falls $A^T \\cdot A = \\text{Id}_n .$

\n", " \n", "Hinweis:
\n", "Es reicht uns also zu wissen, dass $v^T A^T A w = v^T w$ für alle $v,w \\in \\mathbb{R}^n,$ um zu wissen, dass $A$ orthogonal ist. Wieso?\n", "
" ] }, { "cell_type": "markdown", "id": "18f7df9b-82cc-41bb-a189-25e95e404fd2", "metadata": {}, "source": [ "
\n", "\n", "### Aufgabe\n", "***\n", "Begründen Sie, dass für die Abbildungsmatrix einer linearen Isometrie gilt, dass diese orthogonal ist.\n", "\n", "Hinweis:
\n", "Nutzen Sie Eigenschaften, die Sie bereits hier im Notebook gezeigt haben und untersuchen sie damit die induzierte Abbildungsmatrix.\n", "
" ] }, { "cell_type": "markdown", "id": "dd0de8a5-7341-48b4-8d27-d67141625e1e", "metadata": {}, "source": [ "Wir haben also gerade gesehen, dass eine Isometrie $f,$ die den Ursprung fixiert, also $f(0) = 0,$ sogar eine lineare Abbildung ist. Weiter noch haben wir festgestellt, dass die induzierten Abbildungsmatrizen solcher Abbildungen orthogonal sind, also $A_f^T A_f = \\text{Id}.$ Solche Abbildungen werden wir im Folgenden als lineare Isometrien bezeichnen." ] }, { "cell_type": "markdown", "id": "d60fbf91-163d-4f7f-b67f-15eafd90bb93", "metadata": {}, "source": [ "Nun haben wir bereits viel theoretischen Hintergrund zu Isometrien im $\\mathbb{R}^3$ betrachtet. Bevor wir uns nun dem letztendlichen Ergebnis dieses Notebooks widmen, wollen wir lineare Isometrien geometrisch verstehen:
\n", "Da lineare Isometrien den Abstand zwischen zwei Punkten gleich lassen, lässt sich ziemlich gut eingrenzen, wie eine lineare Isometrie geometrisch aussehen kann. Hierfür betrachten wir z.B. folgenden Halbkreis im $\\mathbb{R}^2.$ Wir wissen aus der Schule, dass eine mögliche Definition des Kreises ist, dass dieser die Menge aller Punkte ist, die den Abstand $1$ zum Ursprung haben (in der üblichen euklidischen Norm):" ] }, { "attachments": { "1477f9a2-eb0e-48e3-bfff-5854aae621e0.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "fdf03b5b-f6d8-48be-86ca-16ac2f8cb4ef", "metadata": {}, "source": [ "
\n", "\n", "
" ] }, { "cell_type": "markdown", "id": "c6df9a4d-ca91-481a-b0f8-9408ca7f594e", "metadata": {}, "source": [ "Mit dieser Definition muss eine lineare Isometrie diesen Halbkreis dann auf einen anderen Halbkreis abbilden, z.B. wie folgt drehen:" ] }, { "attachments": { "a43400a2-4551-4777-8d3e-3e40e9962d6e.png": { "image/png": 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AAAECBMotIHwrd/30ngABAgQIEKi4gPCt4gU2PAIECBAgQKDyAsK3ypfYAAkQIECAAIEyCwjfylw9fSdAgAABAgQIpCR88xQQIECAAAECBAosIHwrcHF0jQABAgQIECDQhoDwrQ0klxAgQIAAAQIEBiUgfBuUvPsSIECAAAECBLojIHzrjqNWCBAgQIAAAQI9ERC+9YRVowQIECBAgACBvgkI3/pG7UYECBAgQIAAgc4FhG+dm/kGAQIECBAgQKBIAsK3IlVDXwgQIECAAAECUwSEb1NA/EmAAAECBAgQKJmA8K1kBdNdAgQIECBAoF4Cwrd61dtoCRAgQIAAgeoJCN+qV1MjIkCAAAECBCokIHyrUDENhQABAgQIEKilgPCtlmU3aAIECBAgQKAsAsK3slRKPwkQIECAAAEC0wsI36Z38S4BAgQIECBAoBACwrdClEEnCBAgQIAAAQIzFhC+zZjOFwkQIECAAAECvRcQvvXe2B0IECBAgAABAr0UEL71UlfbBAgQIECAAIFZCgjfZgno6wQIECBAgACBAQsI3wZcALcnQIAAAQIECCxOQPi2OB2fESBAgAABAgSKLyB8K36N9JAAAQIECBCosYDwrcbFN3QCBAgQIECgEgLCt0qU0SAIECBAgACBqgoI36paWeMiQIAAAQIE6iIgfKtLpY2TAAECBAgQKKWA8K2UZdNpAgQIECBAgEBLQPjWovALAQIECBAgQKB4AsK34tVEjwgQIECAAAECnQgI3zrRci0BAgQIECBAoM8Cwrc+g7sdAQIECBAgQKDLAsK3LoNqjgABAgQIECDQTQHhWzc1tUWAAAECBAgQ6L+A8K3/5u5IgAABAgQIEGhbQPjWNpULCRAgQIAAAQKFFBC+FbIsOkWAAAECBAgQWCAgfPMkECBAgAABAgTKLSB8K3f99J4AAQIECBCouIDwreIFNjwCBAgQIECg8gLCt8qX2AAJECBAgACBMgsI38pcPX0nQIAAAQIECKQkfPMUECBAgAABAgQKLCB8K3BxdI0AAQIECBAg0IaA8K0NJJcQIECAAAECBAYlIHwblLz7EiBAgAABAgS6IyB8646jVggQIECAAAECPREQvvWEVaMECBAgQIAAgb4JCN/6Ru1GBAgQIECAAIHOBYRvnZv5BgECBAgQIECgSALCtyJVQ18IECBAgAABAlMEhG9TQPxJgAABAgQIECiZgPCtZAXTXQIECBAgQKBeAsK3etXbaAkQIECAAIHqCQjfqldTIyJAgAABAgQqJCB8q1AxDYUAAQIECBCopYDwrZZlN2gCBAgQIECgLALCt7JUSj8JECBAgAABAtMLCN+md/EuAQIECBAgQKAQAsK3QpRBJwgQIECAAAECMxYQvs2YzhcJECBAgAABAr0XEL713tgdCBAgQIAAAQK9FBC+9VJX2wQIECBAgACBWQoI32YJ6OsECBAgQIAAgQELCN8GXAC3J0CAAAECBAgsTkD4tjgdnxEgQIAAAQIEii8gfCt+jfSQAAECBAgQqLGA8K3GxTd0AgQIECBAoBICwrdKlNEgCBAgQIAAgaoKCN+qWlnjIkCAAAECBOoiIHyrS6WNkwABAgQIECilgPCtlGXTaQIECBAgQIBAS0D41qLwCwECBAgQIECgeALCt+LVRI8IECBAgAABAp0ICN860XItAQIECBAgQKDPAsK3PoO7HQECBAgQIECgywLCty6Dao4AAQIECBAg0E0B4Vs3NbVFgAABAgQIEOi/gPCt/+buSIAAAQIECBBoW0D41jaVCwkQIECAAAEChRQQvhWyLDpFgAABAgQIEFggIHzzJBAgQIAAAQIEyi0gfCt3/fSeAAECBAgQqLiA8K3iBTY8AgQIECBAoPICwrfKl9gACRAgQIAAgTILCN/KXD19J0CAAAECBAikJHzzFBAgQIAAAQIECiwgfCtwcXSNAAECBAgQINCGgPCtDSSXECBAgAABAgQGJSB8G5S8+xIgQIAAAQIEuiMgfOuOo1YIECBAgAABAj0REL71hFWjBAgQIECAAIG+CQjf+kbtRgQIECBAgACBzgWEb52b+QYBAgQIECBAoEgCwrciVUNfCBAgQIAAAQJTBIRvU0D8SYAAAQIECBAomYDwrWQF010CBAgQIECgXgLCt3rV22gJECBAgACB6gkI36pXUyMiQIAAAQIEKiQgfKtQMQ2FAAECBAgQqKWA8K2WZTdoAgQIECBAoCwCwreyVEo/CRAgQIAAAQLTCwjfpnfxLgECBAgQIECgEALCt0KUQScIECBAgAABAjMWEL7NmM4XCRAgQIAAAQK9FxC+9d7YHQgQIECAAAECvRQQvvVSV9sECBAgQIAAgVkKCN9mCejrBAgQIECAAIEBCwjfBlwAtydAgAABAgQILE5A+LY4HZ8RIECAAAECBIovIHwrfo30kAABAgQIEKixgPCtxsU3dAIECBAgQKASAsK3SpTRIAgQIECAAIGqCgjfqlpZ4yJAgAABAgTqIiB8q0uljZMAAQIECBAopYDwrZRl02kCBAgQIECAQEtA+Nai8AsBAgQIECBAoHgCwrfi1USPCBAgQIAAAQKdCAjfOtFyLQECBAgQIECgzwLCtz6Dux0BAgQIECBAoMsCwrcug2qOAAECBAgQINBNAeFbNzW1RYAAAQIECBDov4Dwrf/m7kiAAAECBAgQaFtA+NY2lQsJECBAgAABAoUUEL4Vsiw6RYAAAQIECBBYICB88yQQIECAAAECBMotIHwrd/30ngABAgQIEKi4gPCt4gU2PAIECBAgQKDyAsK3ypfYAAkQIECAAIEyCwjfylw9fSdAgAABAgQIpCR88xQQIECAAAECBAosIHwrcHF0jQABAgQIECDQhoDwrQ0klxAgQIAAAQIEBiUgfBuUvPsSIECAAAECBLojIHzrjqNWCBAgQIAAAQI9ERC+9YRVowQIECBAgACBvgkI3/pG7UYECBAgQIAAgc4FhG+dm/kGAQIECBAgQKBIAsK3IlVDXwgQIECAAAECUwSEb1NA/EmAAAECBAgQKJmA8K1kBdNdAgQIECBAoF4Cwrd61dtoCRAgQIAAgeoJCN+qV1MjIkCAAAECBCokIHyrUDENhQABAgQIEKilgPCtlmU3aAIECBAgQKAsAsK3slRKPwkQIECAAAEC0wsI36Z38S4BAgQIECBAoBACwrdClEEnCBAgQIAAAQIzFhC+zZjOFwkQIECAAAECvRcQvvXe2B0IECBAgAABAr0UEL71UlfbBAgQIECAAIFZCgjfZgno6wQIECBAgACBAQsI3wZcALcnQIAAAQIECCxOQPi2OB2fESBAgAABAgSKLyB8K36N9JAAAQIECBCosYDwrcbFN3QCBAgQIECgEgLCt0qU0SAIECBAgACBqgoI36paWeMiQIAAAQIE6iIgfKtLpY2TAAECBAgQKKWA8K2UZdNpAgQIECBAgEBLQPjWovALAQIECBAgQKB4AsK34tVEjwgQIECAAAECnQgI3zrRci0BAgQIECBAoM8Cwrc+g7sdAQIECBAgQKDLAsK3LoNqjgABAgQIECDQTQHhWzc1tUWAAAECBAgQ6L+A8K3/5u5IgAABAgQIEGhbQPjWNpULCRAgQIAAAQKFFBC+FbIsOkWAAAECBAgQWCAgfPMkECBAgAABAgTKLSB8K3f99J4AAQIECBCouIDwreIFNjwCBAgQIECg8gLCt8qX2AAJECBAgACBMgsI38pcPX0nQIAAAQIECKQkfPMUECBAgAABAgQKLCB8K3BxdI0AAQIECBAg0IaA8K0NJJcQIECAAAECBAYlIHwblLz7EiBAgAABAgS6IyB8646jVggQIECAAAECPREQvvWEVaMECBAgQIAAgb4JCN/6Ru1GBAgQIECAAIHOBYRvnZv5BgECBAgQIECgSALCtyJVQ18IECBAgAABAlMEhG9TQPxJgAABAgQIECiZgPCtZAXTXQIECBAgQKBeAsK3etXbaAkQIECAAIHqCQjfqldTIyJAgAABAgQqJCB8q1AxDYUAAQIECBCopYDwrZZlN2gCBAgQIECgLALCt7JUSj8JECBAgAABAtMLCN+md/EuAQIECBAgQKAQAsK3QpRBJwgQIECAAAECMxYQvs2YzhcJECBAgAABAr0XEL713tgdCBAgQIAAAQK9FBC+9VJX2wQIECBAgACBWQoI32YJ6OsECBAgQIAAgQELCN8GXAC3J0CAAAECBAgsTkD4tjgdnxEgQIAAAQIEii8gfCt+jfSQAAECBAgQqLGA8K3GxTd0AgQIECBAoBICwrdKlNEgCBAgQIAAgaoKCN+qWlnjIkCAAAECBOoiIHyrS6WNkwABAgQIECilgPCtlGXTaQIECBAgQIBAS0D41qLwCwECBAgQIECgeALCt+LVRI8IECBAgAABAp0ICN860XItAQIECBAgQKDPAsK3PoO7HQECBAgQIECgywLCty6Dao4AAQIECBAg0E0B4Vs3NbVFgAABAgQIEOi/gPCt/+buSIAAAQIECBBoW0D41jaVCwkQIECAAAEChRQQvhWyLDpFgAABAgQIEFggIHzzJBAgQIAAAQIEyi0gfCt3/fSeAAECBAgQqLiA8K3iBTY8AgQIECBAoPICwrfKl9gACRAgQIAAgTILCN/KXD19J0CAAAECBAikJHzzFBAgQIAAAQIECiwgfCtwcXSNAAECBAgQINCGgPCtDSSXECBAgAABAgQGJSB8G5S8+xIgQIAAAQIEuiMgfOuOo1YIECBAgAABAj0REL71hFWjBAgQIECAAIG+CQjf+kbtRgQIECBAgACBzgWEb52b+QYBAgQIECBAoEgCwrciVUNfCBAgQIAAAQJTBIRvU0D8SYAAAQIECBAomYDwrWQF010CBAgQIECgXgLCt3rV22gJECBAgACB6gkI36pXUyMiQIAAAQIEKiQgfKtQMQ2FAAECBAgQqKWA8K2WZTdoAgQIECBAoCwCwreyVEo/CRAgQIAAAQLTCwjfpnfxLgECBAgQIECgEALCt0KUQScIECBAgAABAjMWEL7NmM4XCRAgQIAAAQK9FxC+9d7YHQgQIECAAAECvRQQvvVSV9sECBAgQIAAgVkKCN9mCejrBAgQIECAAIEBCwjfBlwAtydAgAABAgQILE5A+LY4HZ8RIECAAAECBIovIHwrfo30kAABAgQIEKixgPCtxsU3dAIECBAgQKASAsK3SpTRIAgQIECAAIGqCgjfqlpZ4yJAgAABAgTqIiB8q0uljZMAAQIECBAopYDwrZRl02kCBAgQIECAQEtA+Nai8AsBAgQIECBAoHgCwrfi1USPCBAgQIAAAQKdCAjfOtFyLQECBAgQIECgzwLCtz6Dux0BAgQIECBAoMsCwrcug2qOAAECBAgQINBNAeFbNzW1RYAAAQIECBDov4Dwrf/m7kiAAAECBAgQaFtA+NY2lQsJECBAgAABAoUUEL4Vsiw6RYAAAQIECBBYICB88yQQIECAAAECBMotIHwrd/30ngABAgQIEKi4gPCt4gU2PAIECBAgQKDyAsK3ypfYAAkQIECAAIEyCwjfylw9fSdAgAABAgQIpCR88xQQIECAAAECBAosIHwrcHF0jQABAgQIECDQhoDwrQ0klxAgQIAAAQIEBiUgfBuUvPsSIECAAAECBLojIHzrjqNWCBAgQIAAAQI9ERC+9YRVowQIECBAgACBvgkI3/pG7UYECBAgQIAAgc4FhG+dm/kGAQIECBAgQKBIAsK3IlVDXwgQIECAAAECUwSEb1NA/EmAAAECBAgQKJmA8K1kBdNdAgQIECBAoF4Cwrd61dtoCRAgQIAAgeoJCN+qV1MjIkCAAAECBCokIHyrUDENhQABAgQIEKilgPCtlmU3aAIECBAgQKAsAsK3slRKPwkQIECAAAEC0wsI36Z38S4BAgQIECBAoBACwrdClEEnCBAgQIAAAQIzFhC+zZjOFwkQIECAAAECvRcQvvXe2B0IECBAgAABAr0UEL71UlfbBAgQIECAAIFZCgjfZgno6wQIECBAgACBAQsI3wZcALcnQIAAAQIECCxOQPi2OB2fESBAgAABAgSKLyB8K36N9JAAAQIECBCosYDwrcbFN3QCBAgQIECgEgLCt0qU0SAIECBAgACBqgoI36paWeMiQIAAAQIE6iIgfKtLpY2TAAECBAgQKKWA8K2UZdNpAgQIECBAgEBLQPjWovALAQIECBAgQKB4AsK34tVEjwgQIECAAAECnQgI3zrRci0BAgQIECBAoM8Cwrc+g7sdAQIECBAgQKDLAsK3LoNqjgABAgQIECDQTQHhWzc1tUWAAAECBAgQ6L+A8K3/5u5IgAABAgQIEGhbQPjWNpULCRAgQIAAAQKFFBC+FbIsOkWAAAECBAgQWCAgfPMkECBAgAABAgTKLSB8K3f99J4AAQIECBCouIDwreIFNjwCBAgQIECg8gLCt8qX2AAJECBAgACBMgsI38pcPX0nQIAAAQIECKQkfPMUECBAgAABAgQKLCB8K3BxdI0AAQIECBAg0IaA8K0NJJcQIECAAAECBAYlIHwblLz7EiBAgAABAgS6IyB8646jVggQIECAAAECPREQvvWEVaMECBAgQIAAgb4JCN/6Ru1GBAgQIECAAIHOBYRvnZv5BgECBAgQIECgSALCtyJVQ18IECBAgAABAlMEhG9TQPxJgAABAgQIECiZgPCtZAXTXQIECBAgQKBeAsK3etXbaAkQIECAAIHqCQjfqldTIyJAgAABAgQqJCB8q1AxDYUAAQIECBCopYDwrZZlN2gCBAgQIECgLALCt7JUSj8JECBAgAABAtMLCN+md/EuAQIECBAgQKAQAsK3QpRBJwgQIECAAAECMxYQvs2YzhcJECBAgAABAr0XEL713tgdCBAgQIAAAQK9FBC+9VJX2wQIECBAgACBWQoI32YJ6OsECBAgQIAAgQELCN8GXAC3J0CAAAECBAgsTkD4tjgdnxEgQIAAAQIEii8gfCt+jfSQAAECBAgQqLGA8K3GxTd0AgQIECBAoBICwrdKlNEgCBAgQIAAgaoKCN+qWlnjIkCAAAECBOoiIHyrS6WNkwABAgQIECilgPCtlGXTaQIECBAgQIBAS0D41qLwCwECBAgQIECgeALCt+LVRI8IECBAgAABAp0ICN860XItAQIECBAgQKDPAsK3PoO7HQECBAgQIECgywLCty6Dao4AAQIECBAg0E0B4Vs3NbVFgAABAgQIEOi/gPCt/+buSIAAAQIECBBoW0D41jaVCwkQIECAAAEChRQQvhWyLDpFgAABAgQIEFggIHzzJBAgQIAAAQIEyi0gfCt3/fSeAAECBAgQqLiA8K3iBTY8AgQIECBAoPICwrfKl9gACRAgQIAAgTILCN/KXD19J0CAAAECBAikJHzzFBAgQIAAAQIECiwgfCtwcXSNAAECBAgQINCGgPCtDSSXECBAgAABAgQGJSB8G5S8+xIgQIAAAQIEuiMgfOuOo1YIECBAgAABAj0REL71hFWjBAgQIECAAIG+CQjf+kbtRgQIECBAgACBzgWEb52b+QYBAgQIECBAoEgCwrciVUNfCBAgQIAAAQJTBIRvU0D8SYAAAQIECBAomYDwrWQF010CBAgQIECgXgLCt3rV22gJECBAgACB6gkI36pXUyMiQIAAAQIEKiQgfKtQMQ2FAAECBAgQqKWA8K2WZTdoAgQIECBAoCwCwreyVEo/CRAgQIAAAQLTCwjfpnfxLgECBAgQIECgEALCt0KUQScIECBAgAABAjMWEL7NmM4XCRAgQIAAAQK9FxC+9d7YHQgQIECAAAECvRQQvvVSV9sECBAgQIAAgVkKCN9mCejrBAgQIECAAIEBCwjfBlwAtydAgAABAgQILE5A+LY4HZ8RIECAAAECBIovIHwrfo30kAABAgQIEKixgPCtxsU3dAIECBAgQKASAsK3SpTRIAgQIECAAIGqCgjfqlpZ4yJAgAABAgTqIiB8q0uljZMAAQIECBAopYDwrZRl02kCBAgQIECAQEtA+Nai8AsBAgQIECBAoHgCwrfi1USPCBAgQIAAAQKdCAjfOtFyLQECBAgQIECgzwLCtz6Dux0BAgQIECBAoMsCwrcug2qOAAECBAgQINBNAeFbNzW1RYAAAQIECBDov4Dwrf/m7kiAAAECBAgQaFtA+NY2lQsJECBAgAABAoUUEL4Vsiw6RYAAAQIECBBYICB88yQQIECAAAECBMotIHwrd/30ngABAgQIEKi4gPCt4gU2PAIECBAgQKDyAsK3ypfYAAkQIECAAIEyCwjfylw9fSdAgAABAgQIpCR88xQQIECAAAECBAosIHwrcHF0jQABAgQIECDQhoDwrQ0klxAgQIAAAQIEBiUgfBuUvPsSIECAAAECBLojIHzrjqNWCBAgQIAAAQI9ERC+9YRVowQIECBAgACBvgkI3/pG7UYECBAgQIAAgc4FhG+dm/kGAQIECBAgQKBIAsK3IlVDXwgQIECAAAECUwSEb1NA/EmAAAECBAgQKJmA8K1kBdNdAgQIECBAoF4Cwrd61dtoCRAgQIAAgeoJCN+qV1MjIkCAAAECBCokIHyrUDENhQABAgQIEKilgPCtlmU3aAIECBAgQKAsAsK3slRKPwkQIECAAAEC0wsI36Z38S4BAgQIECBAoBACwrdClEEnCBAgQIAAAQIzFhC+zZjOFwkQIECAAAECvRcQvvXe2B0IECBAgAABAr0UEL71UlfbBAgQIECAAIFZCgjfZgno6wQIECBAgACBAQsI3wZcALcnQIAAAQIECCxOQPi2OB2fESBAgAABAgSKLyB8K36N9JAAAQIECBCosYDwrcbFN3QCBAgQIECgEgLCt0qU0SAIECBAgACBqgoI36paWeMiQIAAAQIE6iIgfKtLpY2TAAECBAgQKKWA8K2UZdNpAgQIECBAgEBLQPjWovALAQIECBAgQKB4AsK34tVEjwgQIECAAAECnQgI3zrRci0BAgQIECBAoM8Cwrc+g7sdAQIECBAgQKDLAsK3LoNqjgABAgQIECDQTQHhWzc1tUWAAAECBAgQ6L+A8K3/5u5IgAABAgQIEGhbQPjWNpULCRAgQIAAAQKFFBC+FbIsOkWAAAECBAgQWCAgfPMkECBAgAABAgTKLSB8K3f99J4AAQIECBCouIDwreIFNjwCBAgQIECg8gLCt8qX2AAJECBAgACBMgsI38pcPX0nQIAAAQIECKQkfPMUECBAgAABAgQKLCB8K3BxdI0AAQIECBAg0IaA8K0NJJcQIECAAAECBAYlIHwblLz7EiBAgAABAgS6IyB8646jVggQIECAAAECPREQvvWEVaMECBAgQIAAgb4JCN/6Ru1GBAgQIECAAIHOBYRvnZv5BgECBAgQIECgSALCtyJVQ18IECBAgAABAlMEhG9TQPxJgAABAgQIECiZgPCtZAXTXQIECBAgQKBeAsK3etXbaAkQIECAAIHqCQjfqldTIyJAgAABAgQqJCB8q1AxDYUAAQIECBCopYDwrZZlN2gCBAgQIECgLALCt7JUSj8JECBAgAABAtMLCN+md/EuAQIECBAgQKAQAsK3QpRBJwgQIECAAAECMxYQvs2YzhcJECBAgAABAr0XEL713tgdCBAgQIAAAQK9FBC+9VJX2wQIECBAgACBWQoI32YJ6OsECBAgQIAAgQELCN8GXAC3J0CAAAECBAgsTkD4tjgdnxEgQIAAAQIEii8gfCt+jfSQAAECBAgQqLGA8K3GxTd0AgQIECBAoBICwrdKlNEgCBAgQIAAgaoKCN+qWlnjIkCAAAECBOoiIHyrS6WNkwABAgQIECilgPCtlGXTaQIECBAgQIBAS0D41qLwCwECBAgQIECgeALCt+LVRI8IECBAgAABAp0ICN860XItAQIECBAgQKDPAsK3PoO7HQECBAgQIECgywLCty6Dao4AAQIECBAg0E0B4Vs3NbVFgAABAgQIEOi/gPCt/+buSIAAAQIECBBoW0D41jaVCwkQIECAAAEChRQQvhWyLDpFgAABAgQIEFggIHzzJBAgQIAAAQIEyi0gfCt3/fSeAAECBAgQqLiA8K3iBTY8AgQIECBAoPICwrfKl9gACRAgQIAAgTILCN/KXD19J0CAAAECBAikJHzzFBAgQIAAAQIECiwgfCtwcXSNAAECBAgQINCGgPCtDSSXECBAgAABAgQGJSB8G5S8+xIgQIAAAQIEuiMgfOuOo1YIECBAgAABAj0REL71hFWjBAgQIECAAIG+CQjf+kbtRgQIECBAgACBzgWEb52b+QYBAgQIECBAoEgCwrciVUNfCBAgQIAAAQJTBIRvU0D8SYAAAQIECBAomYDwrWQF010CBAgQIECgXgLCt3rV22gJECBAgACB6gkI36pXUyMiQIAAAQIEKiQgfKtQMQ2FAAECBAgQqKWA8K2WZTdoAgQIECBAoCwCwreyVEo/CRAgQIAAAQLTCwjfpnfxLgECBAgQIECgEALCt0KUQScIECBAgAABAjMWEL7NmM4XCRAgQIAAAQK9FxC+9d7YHQgQIECAAAECvRQQvvVSV9sECBAgQIAAgVkKCN9mCejrBAgQIECAAIEBCwjfBlwAtydAgAABAgQILE5A+LY4HZ8RIECAAAECBIovIHwrfo30kAABAgQIEKixgPCtxsU3dAIECBAgQKASAsK3SpTRIAgQIECAAIGqCgjfqlpZ4yJAgAABAgTqIiB8q0uljZMAAQIECBAopYDwrZRl02kCBAgQIECAQEtA+Nai8AsBAgQIECBAoHgCwrfi1USPCBAgQIAAAQKdCAjfOtFyLQECBAgQIECgzwLCtz6Dux0BAgQIECBAoMsCwrcug2qOAAECBAgQINBNAeFbNzW1RYAAAQIECBDov4Dwrf/m7kiAAAECBAgQaFtA+NY2lQsJECBAgAABAoUUEL4Vsiw6RYAAAQIECBBYICB88yQQIECAAAECBMotIHwrd/30ngABAgQIEKi4gPCt4gU2PAIECBAgQKDyAsK3ypfYAAkQIECAAIEyCwjfylw9fSdAgAABAgQIpCR88xQQIECAAAECBAosIHwrcHF0jQABAgQIECDQhoDwrQ0klxAgQIAAAQIEBiUgfBuUvPsSIECAAAECBLojIHzrjqNWCBAgQIAAAQI9ERC+9YRVowQIECBAgACBvgkI3/pG7UYECBAgQIAAgc4FhG+dm/kGAQIECBAgQKBIAsK3IlVDXwgQIECAAAECUwSEb1NA/EmAAAECBAgQKJmA8K1kBdNdAgQIECBAoF4Cwrd61dtoCRAgQIAAgeoJCN+qV1MjIkCAAAECBCokIHyrUDENhQABAgQIEKilgPCtlmU3aAIECBAgQKAsAsK3slRKPwkQIECAAAEC0wsI36Z38S4BAgQIECBAoBACwrdClEEnCBAgQIAAAQIzFhC+zZjOFwkQIECAAAECvRcQvvXe2B0IECBAgAABAr0UEL71UlfbBAgQIECAAIFZCgjfZgno6wQIECBAgACBAQsI3wZcALcnQIAAAQIECCxOQPi2OB2fESBAgAABAgSKLyB8K36N9JAAAQIECBCosYDwrcbFN3QCBAgQIECgEgLCt0qU0SAIECBAgACBqgoI36paWeMiQIAAAQIE6iIgfKtLpY2TAAECBAgQKKWA8K2UZdNpAgQIECBAgEBLQPjWovALAQIECBAgQKB4AsK34tVEjwgQIECAAAECnQgI3zrRci0BAgQIECBAoM8Cwrc+g7sdAQIECBAgQKDLAsK3LoNqjgABAgQIECDQTQHhWzc1tUWAAAECBAgQ6L+A8K3/5u5IgAABAgQIEGhbQPjWNpULCRAgQIAAAQKFFBC+FbIsOkWAAAECBAgQWCAgfPMkECBAgAABAgTKLSB8K3f99J4AAQIECBCouIDwreIFNjwCBAgQIECg8gLCt8qX2AAJECBAgACBMgsI38pcPX0nQIAAAQIECKQkfPMUECBAgAABAgQKLCB8K3BxdI0AAQIECBAg0IaA8K0NJJcQIECAAAECBHohMDExP42Oz08jYwv/a4zOT43svdHs3z/vfyB961sHpiWWWCL/t8oqq6Rzzz23F93RJgECBAgQIECAQA8EhG89QNUkAQIECBAgUH2B+dkQx7Lw7KHG/HTvQxPpjvsn0o33TqSr/z6eLrl9PF1483g674ax9IfrxtJZV4+l064YS7+6bCyddMlYmnPxaPrlX0fTcReNpqMuGE0//fPC/444b8HfR54/mg7/4wPp4/ucnJ76ivelp/6f/0gvWf+Tab9fXJFOuXQsnZq195vLx9LpV2b3uGbBvc67cTz95ZbxdPkd4+n6f2T9um8i/XPe/DQv62cEffOj414ECBAgQIAAAQJ9ExC+9Y3ajQgQIECAAIEyCURIFTPP7nt4fro9C7CuuWs8/fXW8XROFqidmYVpEX4dc+Fo+v4fRtI3fzuSvnpyI/3vLxrpM0c20lY/Gk7vP3Q4vefbw+lt+w+njb82lDbYcyitu9tQWmvnobTGjkPp/365w39feji9/osPZf8eTGvuOC+tvcuC9tbfYyi9ca+h9ObsHm/bbzhtdtBw2vJ7w+ljP2mkbX7eyPv1rTNG0mF/HE0R5kXod2IW/kUQeMZVY/l4Lr5tPB/fLXMn0t0PTuSB4ngWLHoRIECAAAECBAjMXkD4NntDLRAgQIAAAQIlFpjIUraYFfb3BybStVnAFrPGfpfNIjs5C9d+loVV3z5rJO16YiN99qhG+q/vD6d3HTic3rTvUFonC786DtA6Ddx6cP3qWZtrfiUL7nYdShvtM5TenY3nQz8Yzse34/GNtO9vRtL3skDx2GxWXgR0v792LF1w03i64s7xFOHc3GwWXSyT9SJAgAABAgQIEGhPQPjWnpOrCBAgQIAAgQoIxDLRf2Yz2W7Klof+LZvF9vssZIsloD/402ja81cj6X+ObqQPZLPGNv3GcFonC6fKGK51q8+r77BgZl1Y/Mchw+njRzTSjic0Usyii1Aygrmzs2AuZgPecM9EvvRWKFeB/5AYAgECBAgQINB1AeFb10k1SIAAAQIECBRBIGa0PTQ8P92czdaKgOjUbG+0WCb6rTNH0hez5aEfPGxByBbLQLsVWE3XToRYa2f3WG/3obTh3tny0K8Pp7dmy0Pf+a1sWWq2RHSLLNiKwO//Zf358A+H03//OFsyeviCsOuTP22krQ9/KL1lt8vSi9/1k+zf4elfP3Bc2vKg2/OZarHE9dM/a6S47hNZOLZ1ttT0I9n3o60IzGKW3lu+OZzPcIvlqREorrXTUIo+TdfXdt/Lg7msrbdmbce9tj+2kfY7fSRf1hp70J2bLc29Ktv7LmYTDmeHR3gRIECAAAECBOosIHyrc/WNnQABAgQIVEgg9iiLJZGxN1vsyxYHG3w3Wz4ZSyljuegbvjq7wGm6YKoZrMV+brHn2tsPGE6bH5ztuZbdL0KwT2XB2LbZvmu7ZMtWv37aSDr07JH8cIXYdy0OS4jlrednByRcmh3QcN3dE3lQGAc33JMd4HD/0Pz08Mj8dM/cB9J+3/p2WmLJJ2SnnS6Vmqed5ielZss/42TUWDb7YBY0xqy+O7Pvx/LZOPAhDmI47i/ZzL5sv7f9sxlre5wyknbIPGIvuAjt/jvbm+4/v/voUtrYk25G+9E9sjw2PCJkjL3uYux7ZbMJ4/CICOTOz5auXnv3eF4j+8lV6D94hkKAAAECBAg8roDw7XGJXECAAAECBAgUUWA8m9kWhyFcnQVNf7p+LB2fBVoHZAHT57K92WLGVzeXjcYeaTFzbJNsCea7s2ApAqsI1+JeEawdmM2mi5Ap9omLvlyZ7Y8Ws76GsvBstq8HHnggHXjggVnwtkT+rxm+zabdjC4P7eIk1EuywxbiJNYfnjOa9vn1SNr+uGwWXTaTLma0xeENm2Qz9SK4nGkoF4Fc2G3+neF8WW/UKMLHOAU29pG7K3OKgy28CBAgQIAAAQJVFRC+VbWyxkWAAAECBComEIFRhFmxjDRmUcXMtgi9PpstvXxnNuMslnZONzutk/eayynjdNI4iCBmsMVeZ7FMNZZVHnXBaH5CaARWMcOsH3uc9SJ8W9yjEYecxnLdmIkXe+LF/m5fyw5hiNlysSR2iyxEi33gIpALr058m9fG0tc4mTVsI/CL5cCxf1yEljHrz8y4xVXIZwQIECBAgEDZBIRvZauY/hIgQIAAgRoJxL5tMbstQpkzrhpLP85mZ335l408AIolks0wZyY/IziKE0sjaItlkh985MTPOHjh8HMXhGwxMyuWckbwN6hXv8O3RY1zbHzBktY/Z8tkIyyLZbRxQEW4xWzA2M8uQrWZ1CJmFsbedLF33Td/O5LPYoylw3GQw0PZklovAgQIECBAgECZBYRvZa6evhMgQIAAgQoKxImksRQxDkk4JVvGGbPb4jCB2FNt9Uf2FptJwBPLJmP549v2X7Bs9FNZ0PPVk7OgLVsuGnuvXf+P7iwT7XZJihK+TR1XRGKx31wEZBGMfjfbz+5LWTAa+8jFctWN9pl5GBeHYMTS4e2ygxwOy/arOz1rP/bF+8eDZsVNrYO/CRAgQIAAgeILCN+KXyM9JECAAAEClRdoBm5/uWU8zbl4wd5jsefY+tnm/TMJ2uI7zbAtDkGItmLZZOw3Nudvo/k+Z3GgQRleRQ3fprOLOsY+cr/PlpDGIQ8xSzFOcI2TXeNQipnsGxczFGNWXeyxF7Pt4vm4KHtOYtlvzMbzIkCAAAECBAgUXUD4VvQK6R8BAgQIEKioQOzrFft7xQy3CMT2PnUkbfm94TTT5aT5fm3ZUtS3ZnuJxV5tsSQyTviM2XNxAmqjpJv6lyl8m/qojmbhWOzRF6edxgzGqEkcVvHm7BCHmezRFzMf4yCNaCNObv1FdpJr7P93Wxb4xb28CBAgQIAAAQJFFBC+FbEq+kSAAAECBCoqEHu4PZht5h97qf3qsrH0jWx/r//KgrKZBm6xV1jMinrvwQs274/92uIkzdgjbrgLJ40WoQxlDt8m+8W+eQ9nNbk4O6ziZ38eTV85YcGsuJiZONP6r53t2RcHQMSJs8dlQdyFN2cz4rIlyw5smCzvdwIECBAgQGDQAsK3QVfA/QkQIECAQMUFYj5SnAp6070T6ayrx9Kh2d5gccrlG/fqfElpzHyK/cA2yWZOfSCbJbdttifY9/8wkv50/Vi+H1gVKasSvk2tTcxUi2fi5OzU2pj1GMtKY3lqnKI6k6XGEcS979DhlAewWRAXp6fe9s+JgR6WMXXM/iZAgAABAgTqKSB8q2fdjZoAAQIECPRcIGa5zZ03P8U+bj/PTsf84i8a+YmWnR6aENdHsBLLST+Unay54/GNdOT5o/kG/LHhf9VfVQ3fJtctZqr9PdvD7dRsNuQ+vx5JHz18OL0jC+Ieb0ZcLDWeLqiLU1fj9NRdT2qk068cS9fdPZGGa/CsTDb1OwECBAgQIFAcAeFbcWqhJwQIECBAoBICo4/McovQIw44iP3XIjybGpIsLoTLA7dshlsEKBG4xbLCWE4aIUrdlhTWIXyb/OBHfeO021iWHPu6fSg7sCGeg6l7xMUzEgc4xM8I4WIJ8mOesez9OHX1C8c00k+zpa6xP1y0HcGwFwECBAgQIECgXwLCt35Juw8BAgQIEKiwQGQZD2V7uV16+3i+CX7Mcnvz16YPQ5oByXSzliJAic3443TS2BPs2IsWBG4TWSBT11fdwrfJdY7TTGNp6nHZcxAzHuOghQjTpj478XeEc3kIl816m/p5PHMxG26LQ4bzmXUxw+6qv4+neY36PleTnf1OgAABAgQI9FZA+NZbX60TIECAAIFKC8QspTix9JwbxtL3/7hg367plgo2w5Dmz2YAFz/jvdj/7T+yYGS7bA+3mKF0dRaM1G2G26IelDqHb5NNYt/ACHe/l+3x9+mfNdK7DnzsstR4luI01JgRF0FuPIvx+9TnbYM9h9KnftpIPz5nNF2QzYaLZ9hkuMnafidAgAABAgS6KSB866amtggQIECAQE0EYkbS7fdNpDOzAxTixNI4bXS6kCNfEvjI8sCFApDsvViKGhvsfzILQQ763Ui+JHCoIieUdvMxEL4trBmTIP/58Px02hULlqXGablTZ8Ply5az5yvejzBu/T0WBHGTn8H4PWbDRei7/+kj6XfXjKVbswMahL4Le/uLAAECBAgQmL2A8G32hlogQIAAAQK1EYj93G64Z8F+XLtm+7DFIQiTA43J+3A19+Oa/Hm8t+HeQ/k+cLGP26+z5X8x68hr0QLCt0XbxPMYsyQPy2ZdRoj79v0fuzdc8/CFN2VBXCxNjecv3pv6XG76jeG085xGfvrqNXeNO6Bh0ew+IUCAAAECBDoUEL51COZyAgQIECBQR4FY8heHHcz522ja7rhGHmBMDi9iuV8etmU/15wSbEQgt1YWerzjgOH0qWy5YCwbjOWDYzXex62TZ0j49vhacYBChLgnXjyadvhlI23+neH0hq8uHLDFM7re7kPpvQcNp7dmBzhEcDzdNTFL7rNHNfJ95gTDj2/vCgIECBAgQODxBYRvj2/kCgIECBAgUFuBxuj8FLOA4qTRODEygolFhW5TZxNF2BHhRizr2yHbLP+US81ym8mDJHzrTC2WLp+b7UG4z69H0ge+N5zvJzj5mY294GK588cOH86fzdg7LmbDxfPavC4C4zhh9co7xzu7uasJECBAgAABAtMICN+mQfEWAQIECBCou0DMdLs2C93ilMnPZbOAYsZQM5iInzHLrflv6ky3eD/22vrQD4bT134zks67cTxFiOc1MwHh28zcYknqFXeMp2+fNZK2zEK4CIIjVGs+xxHCxWzMzx/dyIO49x86nAdu8X48w1tme8nZg3Bm9r5FgAABAgQILCwgfFvYw18ECBAgQKD2Ajdme7qdkC0vjVBi6rK8VuCWBRQRUjSDjPgZf2+S7Zv1iSMa2R5co+mabC+u+Y6QnPXzJHybHWGEcJdnIdzepy44jXfjry08yy2e25j9Fvu9fekXjXzvuJgxd8AZI7O7sW8TIECAAAECBB4REL55FAgQIECAAIEUp5fGSY9nZSc+/m+2p9sGez4arDUPUYjgLZaWTg3d4r23ZRvdxwy5oy4YTXdkp6B6dU9A+NYdyzjF9LbsGf/ROaP5TLepIVycvrvtzxvplrkT6bxs2eoVlpx2B14rBAgQIECAQBK+eQgIECBAgECNBcazmWn/yDaqP/2qsbRTNvPnzdmsoOZstmboFmHbokK32Dtru2MbaU620f2984RuvXiUhG/dVY0Q7vYshPvxpBCuuVT6yPNHUxze4EWAAAECBAgQ6KaA8K2bmtoiQIAAAQIlEYiDRu8fmp/OyWb4fP20kfzkx9D3l0oAAEAASURBVGboFj+bs9zilNL4N/mzCOIidNs+myF36mVj6cFhYUUvyy58641uHsJlszQPP3c0fTo7hXeXExv2JuwNtVYJECBAgEDtBYRvtX8EABAgQIBAnQQiJhvODj+45Lbx9N2zR9IW3xle+JTH7MTHCNfiXyzDmy50i2Wpvxa69e2xEb71ljpCuLnz5ufLTXt7J60TIECAAAECdRUQvtW18sZNgAABArUTiH3dbs72s4oTTD96+HCafErp6hG6ZTPcYsbbOrsuHLrFstPY0y2Wl/768rH0kJlufX12hG995XYzAgQIECBAgEDXBYRvXSfVIAECBAgQKJZA7GEVM3vOyPZ12/H4Rlp/j0fDtWboFgHbG3Z79P3m0tNNs9NL4yCFOP00lql69V9A+NZ/c3ckQIAAAQIECHRTQPjWTU1tESBAgACBggnEEtO/3TqeDjxzJL09m73WXEYahynEzLdYXvqGry6Y8db8LGa/bbj3UPrEEQtOL/3Hgw5SGGRZhW+D1HdvAgQIECBAgMDsBYRvszfUAgECBAgQKJxAczP5X/xlNH3kR8P5ctLJ4Vrs5xbLS9eedJhCzIKLvz/0g+H0/T+MpNuyEyG9Bi8gfBt8DfSAAAECBAgQIDAbAeHbbPR8lwABAgQIFEwgW2GaHmrMT3+6fix99eRGeuNejy4lzcO1LHRrznZrhnHxM8K4OHzhKyc00uV3jBdsVPXujvCt3vU3egIECBAgQKD8AsK38tfQCAgQIECAQC4QByrcdO9E+sm5o+k/DslOMc1CtQjW8iWm2Z5uMattvd2zv7MZbs3gLfZ6e+t+w+nLv2ykP1w3lkbH7OtWtMdJ+Fa0iugPAQIECBAgQKAzAeFbZ16uJkCAAAEChRPIZ7tlJ5Cefe1Y+nJ2oMK6kw5OiKAtlpeuk81si9ltzdAt3t9gz6H08Wxft1ia+qATTAtX12aHhG9NCT8JECBAgAABAuUUEL6Vs256TYAAAQIEcoHmbLfDs9lumx886UCFR/ZvWyub7Tb5dNPmEtP3HTqcDjxjJJ8ph7LYAsK3YtdH7wgQIECAAAECjycgfHs8IZ8TIECAAIECCsRst3nZ3m5/zJaKTp3tFqeVrpvNdotTTGN/t+Zst3h/028sWGJ6zg1jaWLCEtMClvYxXRK+PYbEGwQIECBAgACBUgkI30pVLp0lQIAAAQIpxUmmd9w3kY46f8Hebs1wLT9QIZvp1tzbrfV+tu9bLEXd6ofD6cjsO/cPCd3K9BwJ38pULX0lQIAAAQIECDxWQPj2WBPvECBAgACBwgo0Ruenv9wynvY8ZWSh5aT5bLcsYIsDFdacNNstDlR4xwHDaffseqeYFrasi+2Y8G2xPD4kQIAAAQIECBReQPhW+BLpIAECBAgQSClWiP7z4fnp5EvG0n//KDvJ9JETS+Nn7OsWhynEAQqt2W7Z+xHEbf2TRppz8WgaGjHbrazPkfCtrJXTbwIECBAgQIDAAgHhmyeBAAECBAgUXCAOVbjxnol06NkjaZNsz7bJAVssJ41/k/d2a8522+fXI+n6f0wUfHS693gCwrfHE/I5AQIECBAgQKDYAsK3YtdH7wgQIECg5gLD2TLTP984nnY8vpHWyWa3RfC2evYvArZ1skMVps52i0MWPnb4cJrzt9EU3/Uqv4Dwrfw1NILeCszPTqCZmPB/NPRWWesECBAgMBsB4dts9HyXAAECBAj0SCBOM41lpidmIdr/OyxbZpoFbnnwli0njRAuTjONGW/NWXCx59tbvjmc9sj2drvmrvEe9UqzgxAQvg1C3T3LIBCh27333pvmzJmTjjvuuHTTTTeVodv6SIAAAQI1FBC+1bDohkyAAAECxRaI00xvmTuRvpstM33z1x4N2GJ/twjcYi+3NbLfm8Fb7PcWAd0xF46mh+3tVuzizqB3wrcZoNX4K2NjY+nvf/97uv3229P4eLWD+OHh4XTSSSelFVdcMT3rWc9KO+20U2o0GjWuvqETIECAQFEFhG9FrYx+ESBAgEAtBUbG5qeLbxtPu53UyGe3tZaZZieYxoy39fd4NHSLMG7DvYfSF3/RSBdlJ6B6VVNA+FbNuvZiVENDQ+n3v/992mGHHdKXv/zldMYZZ1Q6gLv//vvT/vvvn5ZYYom05JJLppe97GXpggsu6AWtNgkQIECAwKwEhG+z4vNlAgQIECDQHYHYnW1eY3468+qx9MkjGgudZpovM81mvMUeb83ZbrHn22YHDafv/H4k3fOQvY66U4VitiJ8K2ZditirW265Jb3pTW/Kw6hlllkmrb322nkAF7PgYkZc1V4x8y2Wm0b4Fv+e9rSnpc9//vP2f6taoY2HAAECFRAQvlWgiIZAgAABAuUWyFaZprnz5qdjLxrNA7VmwDbdMtPY+y32e/vYTxrpN1eMpVii6lVtAeFbtevbzdFdddVV6TnPeU4rjHriE5+YXve616Xtt98+HXHEEenMM89Ml112WbrrrrvS6OhoN289kLbikIULL7wwLb300vmYl1pqqfTa1742X3Y7kA65KQECBAgQWISA8G0RMN4mQIAAAQL9EIjw7Pb7Fuzv9qZ9H53ZFgcoTHea6Ub7DKWdTmikq/5umWk/6lOEewjfilCFcvQhDhyI2W7NmWCTfy633HLpVa96Vdpiiy3yvdF+/OMfp1//+tf5Ms3rrrsuP7igLIFchG4PP/xwmjt3bjr77LPT8ssv3xrzC17wgnTyySeXo2B6SYAAAQK1ERC+1abUBkqAAAECRRMYHZ+frs5CtL1OHWmdXBqz3dZ6ZH+3N3z10TAulpm+59vD6dDsEIY4BdWrPgLCt/rUerYjve+++9K+++6bnvzkJ7fCqMkB3OTfY1nqKquski9T/ehHP5p233339KMf/SidcMIJ+VLV888/P1155ZXp1ltvTdHuyMhIitNFe/2Ke8QS2QcffDCfwXb99denSy65JJ1zzjnpt7/9bd6/n/3sZ+nggw9Oe+65Z9p6661TzPBrju3Zz3522m+//XrdTe0TIECAAIGOBIRvHXG5mAABAgQIdEegkR2scOHN42m7YxspgrX8YIUseMv3d8uWlUYA11x+GqeZbvWj4fSrS8fSmGWm3SlAiVoRvpWoWAPuaswIi8Bsww03bIVRzVCqnZ+xbDNODX3FK16Rt/GBD3wgbbPNNnmgd9hhh6Wjjz46zZkzJ/3mN7/JD3b485//nC6++OL8njF7Lmbe3XbbbemOO+7Ig7O77747xb9Y5honsMb7EebdcMMN6ZprrkmXX355+stf/pLOPffcdNZZZ6VTTz01/eIXv0iHH354fpDCjjvumIdr73nPe9K6666bVltttbTCCiukJzzhCYscX3y+xx57DLgSbk+AAAECBBYWEL4t7OEvAgQIECDQc4Ghkfnpd9eMpY/8eDjFHm7N4C32covZbpPfi9NNt80CukuyE1C96ikgfKtn3Wc66nnz5uXhVXMftHZCt3avidlyEc79y7/8S76XXIR87373u9N//dd/pY985CPpM5/5TNp2223TF7/4xRTB2c4775z/+8pXvpKfwBrvf+ELX0if+MQn0oc//OH0vve9L731rW9Nb3jDG9JrXvOa9OIXvzg99alPzU8ubbdPU69beeWV05FHHjlTPt8jQIAAAQI9ERC+9YRVowQIECBA4LECsWLrweH56eRLxtJ/HDLcmtmWH6yQBW/r7/7obLfY822Trw+nfX8zku7I9oTzqq+A8K2+tZ/JyGPZZsx+W3XVVVuzw2Km2POe97y0xhprpBe96EVtLUudGmqV4e9ll102veUtb0lx6qsXAQIECBAokoDwrUjV0BcCBAgQqKxABG9xounRF4ymt+//aPAWIVssK11vUvAWy1A3O2g4/fic0TSv0fs9liqLXpGBCd8qUsg+DuMf//hH+tznPtcK32JPtDXXXDPtvffe6WMf+1jabLPN8pBqrbXWypdyxj5pvZgp1+vALmbixUy5FVdcMR/He9/73nzpah+p3YoAAQIECLQlIHxri8lFBAgQIEBg5gITWfJ294MT6bA/jqQ4rTRfZpotN42Qbe2dh1IsN23u77ZW9veHfjCcTr1sLE3Y323m6BX6pvCtQsXs01AajUY65ZRTFprh9pSnPCVtsMEGefC2/fbb54cSfPOb30xf//rX0y677JK22mqr9M53vjOtv/766bWvfW166UtfmlZaaaX8JNEll1yyFeT1OlBrth/3fNKTnpQiGIzlqLEPXczc22ijjdI73vGO9P73vz8PErfbbrv8sIjYJy72kfMiQIAAAQJFFBC+FbEq+kSAAAEClREYz4K3O+6fSAedNdJaVto80TRmvDUPVoh93tbdbSh9+meNdMFN9nerzAPQhYEI37qAWMMmbrzxxny2WzPMmvwzgq2nPe1p+Umnu+22Wz5bLIKrOCwhDkA46aST0ve///38NNH/+Z//yfd0i0MPNt1007Teeuul1VdfPd+j7eUvf3l6yUtekp7//OfnQV3sB/f0pz89n422/PLL5+Hfcsstl/+M8C9mqT3jGc9Iz3nOc1LszRZLYGN57Kte9ar0+te/Pj9UYeONN07vete7Uhz28KlPfSoPBg866KB0zDHH5IcyXHbZZenOO+9Mw8PDNayqIRMgQIBAWQWEb2WtnH4TIECAQOEFxrOZazfPnUjf+O1IHqw1D1aI2W7rZLPdYslp870N9hxKOx7fSNfdbX+3whe2zx0UvvUZvCK3u++++9Jee+31uDPWYrlpHKDw8Y9/PB111FH5CaRTg63x8fE0d+7cdP3116cLL7wwnXHGGemEE05IRxxxRDrkkENSzKDbc88900477ZT+93//Nz8hNUK7OIAh/sUS2M9//vP5YQxf+tKXUgR+++67bzrwwAPTD3/4w3TsscfmJ6jGqadXXXVVimWzo6OjFamEYRAgQIAAgZSEb54CAgQIECDQA4GxLHi7/h8TaY9TRvKlpc2QLWa7xQy3ySeabrzvUPpadrBCLE31IjBVQPg2VcTf7QiMjY2lc845J62wwgqPG8DFrLiYDRcz12I5ZyzhjBlmsXzViwABAgQIEJi9gPBt9oZaIECAAAECCwmMjc9P19w1nnaa00hr7vTo7LZ1Hgnemvu7xcy3t+43nA79/YiDFRYS9MdkAeHbZA2/dyIQS09jn7TmktMI2GI5aOznFieDNt+f+jOWhm6xxRb5zLY4OXVkZKST27qWAAECBAgQmCIgfJsC4k8CBAgQIDAbgQjerv77eL6EdPKy0qnBWxy28J5vD6ef/Xk0jYw50XQ25lX/rvCt6hXu3fim7vsW4VssMY3lnh/5yEfS2muvne+/NjV8i7/j2pg1t+WWW6ajjz46P8wgZtN5ESBAgAABAp0LCN86N/MNAgQIECAwrcBoFrxdeed4+tIvGwvt5/aY4C2bDff+7w6nORePOtF0WklvThYQvk3W8HsnAtddd11abbXVFprhFgckxL5tQ0ND6Y9//GPadddd0yabbJJe+MIX5oHb1CAuQrg4ICFOQz3uuOPyfd9iDzgvAgQIECBAoH0B4Vv7Vq4kQIAAAQKLFIjg7YoseNv+uCx42+HRpabNPd6aS03jdNMP/WA4nXW1GSSLxPTBQgLCt4U4/NGBQJxg+oIXvGCh8C1ms8VBDM1XzGa79tpr0wEHHJDe8Y53pFVWWWXaEG6ppZbKTyiNgxnmzJmTbrrppuz/PLBPZdPRTwIECBAgsDgB4dvidHxGgAABAgTaEIilpldlS00jeFt9UvC21iOnmraCt+zvjx4+nP58o1kjbbC65BEB4ZtHYaYCV199dXruc5+7UPj2xCc+MZ/p9vDDDy/UbMxmu/nmm9NBBx2U3va2ty1yJlyEcDFL7rOf/Ww65ZRT0q233iqEW0jSHwQIECBA4LECwrfHmniHAAECBAi0LdA8XCFfajo1eMsOWGgGbzED7pM/baS/3ip4axvXhbmA8M2DMFOBq666ato93WLp6UUXXTRtszET7oYbbkj77bdf2nTTTdPznve8hcK75rLUJzzhCfn+cdtss0361a9+lQd3ZsJNS+pNAgQIECCQhG8eAgIECBAgMEOBsYn56bq7J9JXTlh4j7epM97W2XUofe6oRr4sdYa38rUaCwjfalz8WQ49wrdnPetZjwnP4r199913sa1HCBfLVvfZZ5/0pje96TEz6KaGcJ///OfTySefnC9HtSfcYml9SIAAAQI1FBC+1bDohkyAAAECsxcYz4K3G++ZSLvMmRS8fXkoxZ5uccBCc8bbulnwts3PG3lIN/u7aqGOAsK3Ola9O2NeVPi27LLLpre//e1pZGTkcW80OjqaLr/88rT77runN77xjdPOpIsgLmbCvfjFL86Xo5544okpTloVwj0urwsIECBAoCYCwreaFNowCRAgQKB7AuPz56db/zmR9jhlJK35lUcOV3gkeIvlpa3gbbehtG0WvN2QhXReBGYqIHybqZzvRfj27Gc/+zEz3yIsW3XVVVN83u4rgrq//e1vaeedd07rrbfetDPqmiFc7An36U9/OkUIF/vIzc/+O9OLAAECBAjUWUD4VufqGzsBAgQIdCwwkf2PyL8/MJH2O30krZ0doBBB2+rN4O2Rv+O9dbPgbbtjG/nsuI5v4gsEJgkI3yZh+LUjgThwYaWVVpo2fFtxxRXToYce2lF7cXGj0UgXXnhh2mGHHdL666+/2JlwL3rRi1IsRz3jjDPSvffe2/G9fIEAAQIECFRFQPhWlUoaBwECBAj0XCAmb9zz0ET6zu9G8nBtoeBtyoy3OPn0pnvNeOt5UWpwA+FbDYrcoyFG+LbyyitPG74tt9xy6T//8z9nvDS0GcLtsssu+XLUqaeqNveEW2aZZdKrX/3qfI+5iy++OMUyVi8CBAgQIFA3AeFb3SpuvAQIECAwI4EI3u57eH768Tmjaf09Hp3xtma2x1tzBlyEcXG4wrbZjDfB24yYfWkaAeHbNCjeaksgDkyIfdiaQdjkn0suuWR6xStekW699da22lrURbEc9ZJLLkl77LFH2njjjfPTUaPtyfeK35dffvm02Wab5UtR586du6jmvE+AAAECBCopIHyrZFkNigABAgS6LTCvMT8dd9Fo2mifScFbtt9bnGwaoVsevGWz3z5/tD3eum1f9/aEb3V/AmY+/uuuuy6tttpqjwnCmsFYzIo7+uijZ36DSd+MGW1XXnllPsNtk002mXbGXRzK8LKXvSztv//+6dprr7UX3CQ/vxIgQIBAtQWEb9Wur9ERIECAQBcEhkbnp99cPpbevv9wa4+3OGghTjZtBm9x0MJnjmyka+4a78IdNUHgUQHh26MWfutM4Prrr8+XfDbDtqWWWio95SlPaYVxT33qU/ODETprdfFXj42NpVjuutdee+V7wj396U9v3a/Zj2c84xlp6623Tn/605/S8PDw4hv0KQECBAgQqICA8K0CRTQEAgQIEOidwMjY/HTODWPpfYcuCN4ibFtjx6EUy02bwVvMfvvEEY10xZ2Ct95Vor4tC9/qW/vZjvzGG29Mq6++eiv8WnbZZfOZcBF+RRAWM9HWXnvt9NBDD832Vo/5fixHjYMZ4sCFV77ylfm9muFb/Iy+xKmpxxxzTLr77rsf831vECBAgACBKgkI36pUTWMhQIAAga4KjI7PT5fcNp4+dvijwdvqOywI31rBWxbC/fePhtPFtwreuoqvsZaA8K1F4ZcOBW6++ea04YYbLhS+vfa1r13ovVVWWSWdf/75Hbbc/uXx/B511FFp0003TVNnwcVMvNiTbs8990xXXHHFjA9/aL83riRAgAABAoMREL4Nxt1dCRAgQKDgAuMT89MN90ykOLV09Uf2dIvALcK3ZvAWS0+3/N5wOvdGwVvBy1nq7gnfSl2+gXb+tttuS+9617ta4VucPPq6170u7bTTTq33nv3sZ6cDDjigp/2MpaiXXXZZ+uxnP5te+tKXtu7dnAkXy1+33HLLdNppp6X77ruvp33ROAECBAgQGISA8G0Q6u5JgAABAoUWiJNN73pgIn3tNyMpArZm2DY5hIv3Nz94OJ1+5Vihx6Jz5RcQvpW/hoMawZ133pk++MEPtsKumGkWM99OPvnktPTSS+fvL7fccul973tfmpiY6Gk352f/xRqnnB5yyCFpnXXWSU960pNa/YoQLvrzqle9Kn3rW99KV111Vc/709PBapwAAQIECEwREL5NAfEnAQIECNRbIMvd0v1D89OPzhlN6+42KXjLZrw1Z73Fnm/v/NZwOuFvo9lpffX2MvreCwjfem9c1TvEXmox26w5wyx+vvrVr85nocVy0/h7ySWXzN/r175rjUYjnX322ekDH/hAeu5zn7tQ36I/sTT1wx/+cDr99NNTPPteBAgQIECgCgLCtypU0RgIECBAoGsCD4/MTyddMpY2/tqjwVuEbfGvuex0028Mp5/+eTSbmSF56xq8hhYpIHxbJI0PHkcgZprtuuuuCwVcL3/5y9Oll16ah1/NUO4FL3hBOvXUUx+nte59HLPsbr311rTbbrvlM/FiOWyzL/Ez/v63f/u3dPDBB6drr702+z85/Hdt9/S1RIAAAQKDEBC+DULdPQkQIECgkAJxsul52cmm782WkzaXmk4N3jbceygd/LuRFNd6EeiHgPCtH8rVvMeDDz6YB1iTg63Yc+2CCy5I3/72t1uB1zOf+cw8COu3wrx589KJJ56Y3vve96aVVlqp1Z9mf6NfW2+9dT5TbmhoqN/dcz8CBAgQINA1AeFb1yg1RIAAAQJlFogDFq65azx96meNVvA2+WTT2O9tvd2H0h6njKQHhwVvZa512foufCtbxYrT3wisjj322IVCrThd9Pe//30eaC277LL5Z/EzDmYYH+//4TFxz5tuuikP//793/89PfGJT1yov/H3WmutlY488sh01113FQdXTwgQIECAQAcCwrcOsFxKgAABAtUUiBVNccDCXr8aSWtMOs20ucdbzIJbZ5ehtP2xjfy6aioYVVEFhG9FrUzx+xWnjEbQFvu6NWeTPf/5z0/HH398uu6661IsQW2+/8pXvnKg4dbDDz+cfvWrX6Utttgirbzyyq1+Rf/ioIgXvvCFac8998z7XXx5PSRAgAABAgsLCN8W9vAXAQIECNRQIGayHX7uwgcsNJedxs+1dhpKW/+kka67u7enAdaQ3pDbEBC+tYHkkmkFYq+0yy67LC2//PKtMOs5z3lOvhQ1TkLdcsstW+9HuHXaaadN206/3oxZcLfcckvafffd0+tf//p877dmOBg/4zCGT37yk+mvf/2r01D7VRT3IUCAAIGuCAjfusKoEQIECBAoq8Dw6Px0+pVjKQ5RaAZuscQ0/sXfa35lKL3/0OF0wU39X45VVlP97q6A8K27nnVrLWa4rbrqqq2Q7RnPeEbacccd0/3335/222+/1vsrrLBC2muvvQrBE7Pg4gCId7/73Sn6NTmAe/KTn5y//6c//SnFzD4vAgQIECBQBgHhWxmqpI8ECBAg0BOBsfFsVsgd4+mDP5gUvGXLTpvLTeOwhbftP5xOvHi0J/fXKIF2BIRv7Si5ZlECN998c9pwww1bAVbMgttqq63S6OhoOuOMM1qzy570pCelzTffvDAni8YsuDjpdJtttkkveclLWv2PIC72qNtoo43y/sc4vAgQIECAQNEFhG9Fr5D+ESBAgEBPBGKftzvvn0i7nthozXKLmW7N4C1+xsmm3/vDSIrDGLwIDEpA+DYo+WrcN5aXfvCDH2yFV8sss0zaZJNN8sFdc801aZVVVsk/i33hXvOa16R//vOfhRl4LJuN/sTJrK973evyvd+as+DiIIa11147nX766WbAFaZiOkKAAAECixIQvi1KxvsECBAgUGmB5j5v6+y6YHlpc8lp8+cbvjqUdj95JD3UELxV+kEoweCEbyUoUoG7eO+996YddtihFb5FyBZB1sjISLrtttvyJZzNQCuCuPPOO69wo4llqHPmzEnrr79+WnrppVtjiQBu3XXXTWeeeeZATmotHJQOESBAgEBhBYRvhS2NjhEgQIBArwQaY/PT764ZS2/55qPLTZuhW/xce+eh9NkjG+mO+xyw0KsaaLd9AeFb+1aufKzAgw8+mA455JBWYBVB22qrrZbuuOOONHfu3LTzzju3PltppZXSD37wg8c2UoB3Go1GOvvss9Omm26aInRrBobx+wYbbJDOOeecwiyZLQCXLhAgQIBAwQSEbwUriO4QIECAQG8FYgnpNXeNp48e/mjwNt0BC3+91QELva2E1tsVEL61K+W66QQitDrllFNaYVWEVjHD7dxzz01DQ0Pp5z//eeuzpz3taekLX/jCdM0U4r3Y3+3CCy9Mb3/72xcK4GK/unjvkksuKUQ/dYIAAQIECEwVEL5NFfE3AQIECFRWIBaQ3jtvIn3ztyNpjWxPt+Zst+bJprHPW8yGm/M3G3hX9iEo4cCEbyUsWoG6PDExkf7617+mCKias8VWXnnldNRRR6X47C9/+UuKQxjis5hFFjPL4v2iviKAu+iii9Lb3va21mER0fcYQ+xtd8sttxS16/pFgAABAjUWEL7VuPiGToAAgboJDI3MTydfMpY22PPR4G1yALf+HkPpW2eOpNHsFFQvAkUREL4VpRLl7UecGvrSl760Fb6tsMIKaa+99soHdP3116dXvvKVrc9e8YpXpHvuuafQg40A7vzzz89PPF1qqaVafX/mM5+Zdtppp0IdGlFoSJ0jQIAAgb4JCN/6Ru1GBAgQIDBIgbEsULvk9vH0/kMfXW7aDN7yfd52GUrbH9tIc+cJ3gZZJ/d+rIDw7bEm3ulMIGaDbbzxxq2Q6ilPeUraeuut80Zuv/32tNlmm7U+e/GLX5z+8Ic/dHaDAVwdy2nPOuustMYaa7T6HjPgnv/85+f71sXnXgQIECBAoCgCwreiVEI/CBAgQKBnAvOzPO3uBybSric1WktNJwdva35lKH3ge8Ppyjvt89azImh4xgLCtxnT+eIjAnfddVcetjWXnS6zzDLpzW9+c35AQZyG+qUvfakVYK244orpu9/9binsYs+6448/Pq266qqt/j/hCU/IZ/KddtpphV4+WwpgnSRAgACBrgkI37pGqSECBAgQKKrAw9ly01/+dTStu9s0y00f2eftpGw5qheBIgoI34pYlXL16b777kt77713K6Bacskl02te85o0b9689NBDD6XDDjus9VkcurDtttuWZoD3339/OvDAA1OEhs1wMfau22ijjRzAUJoq6igBAgSqLyB8q36NjZAAAQK1FsiXm942nrb4zvTLTdfbfSg/gME+b7V+TAo9eOFboctTis7FDLFjjjmmFU5FSBV7wF1xxRUp9k8744wzUgRy8X4czBDLUMv0uvvuu9M222zTOjgixhFLa7faaqsUy2q9CBAgQIDAoAWEb4OugPsTIECAQM8E8uWmD06k3Rax3HStnYfSZ45spLuza7wIFFVA+FbUypSnX+Pj4+m8887LTzNtzg6LvdFOOOGEfOnppZde2gqu4gCD1VdfPQ/lyjLCOJ01Do7YfPPN09JLL90KGeNgid133z3Ff4a8CBAgQIDAIAWEb4PUd28CBAgQ6KlAnG4652+j6Q1ffexy0zV2HErvPXg4XXizfd56WgSNz1pA+Pb/2bsT8CjKfN/jbCrggsquKBHRccZ77h0cNoMBATWiHHXOPNeNI0evo86Mop4RkUWRwSCoIOgcFRV1FBxABvcNdVyQJegYNhm2YQ07ScAkVPVW/b/9FqZCE0y6Q1f3W13ffp48Sbqrq/7v5y1o+fkuR03ICWICasfTnJwcJ5hq2bKlTJgwwbZZv369/OxnP3NeO/fccz03YqxqB9Tc3FynHWo035lnninTp0/3VJjIDYsAAgggkH0ChG/Z16e0CAEEEEAgJhCxorIqtoHCkXY37TbckL6PGvLqohBWCGgvQPimfRd5osCtW7fK5Zdf7gRTxx9/vNxyyy127Yfvhqp2PF2wYIEn2nVokWp67dtvv11jA4Zf/vKX8uWXX9qj/A49np8RQAABBBBIlwDhW7qkuQ4CCCCAQFoFSiuj8sS8oKig7dCdTdXPuaMNGfa3gFSYsW1QeSCguQDhm+Yd5JHy9uzZI/fcc48TvqnpmXl5eRIOh2XHjh0yePBg57X27dvLjBkzPNKy+DLVBgxTpkyR1q1bO+1R69gNGDBAvv/++/iD+Q0BBBBAAIE0CRC+pQmayyCAAAIIpE8gEI7K52vC9ui2w4O3HqMMezScGhXHAwEvCBC+eaGX9K+xvLxcnn32WSeQUmu/qammKngrKSmRBx54wHlNrZVWUFCgf6N+okK1AYMKGps3b+60SW3AoEb6bdy48SfexdMIIIAAAgi4J0D45p4tZ0YAAQQQyICAFdtlYVOJJbe/Fqgx4q3bCEMumWDIG/9gumkGuoZL1lOA8K2ecLwtTqBqV9PGjRs7gZRaD03tdKruscmTJzvPq6Dqtttui3u/l35RGzCodezUrq2HbsBw8skny/333y87d+70UnOoFQEEEEAgCwQI37KgE2kCAggggEC1gJpK+srCkKgRboePest92JAH3wqIGduIgQcCXhEgfPNKT+ldZzT2PyZWr14takpp1Y6nrVq1kkmTJsmBAwfk9ddfd54/9thj5corr9S7QXVUp8LGwsJC6d27t6iNF6rarKajqo0mysrK6jgDLyOAAAIIIJA6AcK31FlyJgQQQACBDAuEI1FZujUiAyebNYK37j9ON12zk+mmGe4mLp+kAOFbkmAc/pMCh2+6oKZl3nTTTRIMBmXevHlOQNWoUSPp1q2bRCLe/vvSNE27XRdccIHTNhXEdejQQV544QWprKz8SSteQAABBBBAIJUChG+p1ORcCCCAAAIZFSipsOSR94M1gje16UK/8YbM/JbpphntIC5eLwHCt3qx8aYjCKi13YYPH+4EUVUhW0VFhXzzzTdxI8TOO+882bdv3xHO4q2n1Ki+N954Q1R7qka/qXafc845MmfOHDt49FaLqBYBBBBAwIsChG9e7DVqRgABBBCoIaA2Wfh7bJOFPgU1p5teGNvd9P45AakMMN20BhxPaC9A+KZ9F3mmQMMwZPbs2U4IpcKoTp06yfLly2XVqlVxGxR07txZ1q1b55m21Vao+jP0/PPPS8eOHZ22q7Xg1Ii4Tz/9VNQacTwQQAABBBBwU4DwzU1dzo0AAgggkBaB2FJGsqXUkt9Nr7nJQveRhvzH/5iyYpu3p0+lBZKLaClA+KZlt3iyKBUyFRUVyUknneSEUO3atZNXX31V1qxZI+rnqtFhOTk59pppnmzoEYpWa7yNHz9e2rZt67RRrW3Xt29fe9SfWhOPBwIIIIAAAm4JEL65Jct5EUAAAQTSJnAgtoHC7NgOpj0frDnqTY2Ee2kB003T1hlcKOUChG8pJ/X1CTdt2iQ9e/Z0AqgTTzxR7rrrLnt30HPPPdd5/owzzpAPP/wwq6z27Nkjw4YNE7XraVXIqNa9+81vfmOHj1nVWBqDAAIIIKCVAOGbVt1BMQgggAACyQpYsdEKa3dF5Nrnam6yoMK4O14LSGklIxqSdeV4fQQI3/Tpi2yoRAVQd999txM+NW7cWHr16iUrV660p2FWhVJqV9SZM2dmQ5OdNqjRbWrTiVtvvTVuiq0KIO+44w4pLi52juUHBBBAAAEEUilA+JZKTc6FAAIIIJB2gR/MqLwwPyjdRsSPelO/D5hkyhdrw2mviQsikEoBwrdUanIute6bCtXUrp9VQdtZZ50lc+fOtUO4qufU9MwXX3wx68DUDq5r1661R7sdc8wxjsGpp54qY8eOlfLy8qxrMw1CAAEEEMi8AOFb5vuAChBAAAEE6ikQtqKyrDgiV06uOeqt1xhDCj4IijqGBwJeFiB883Lv6Ve7Gv21YsWKuLXPWrduLffff7/079/fCaPUc08//bR+DUhBReFwWL777ju55JJLRO18qgJHFUaqDRnUhhQqoOOBAAIIIIBAKgUI31KpybkQQAABBNIqUHYgKhM+DkrX4fGj3tQmC9fFpqFu2MsOdmntEC7migDhmyusvj6pml45cOBAJ2hr1qyZXHTRRZKfn+8817JlS3nsscey1ikQCMjnn38eN9VW7YDao0cPewOGrG04DUMAAQQQyIgA4VtG2LkoAggggMDRCoQiUVmyKSL9J8QHbyqIu3icIdML2WThaI15vx4ChG969EM2VbFv3z47WKuaYqpGfbVo0UK6dOnihG9qGmZBQUE2NbtGWyorK+X111+XDh06OO1WGzBcf/319tpwNd7AEwgggAACCNRTgPCtnnC8DQEEEEAgswJ7KywZ/U6gxqg3tcnCba8GRI2K44FANggQvmVDL+rVhlAoJF999ZWojQaqAjg1/bJp06bO7yp8e+SRR/Qq3IVqSktLZfTo0XEWqu1jxoyRiooKF67IKRFAAAEE/ChA+ObHXqfNCCCAgMcF1Ki3hf8K2yPcDp1yqjZZuOxxUz79J5sseLyLKf8QAcK3QzD4MWUCmzdvlt69ezthW1UIV/XdL+GbWgNPWajRbmraqWp/1fpvahMK9ToPBBBAAAEEjlaA8O1oBXk/AggggEDaBfaUWzLizZqj3nJHGzJ8bkCCYf6xlPZO4YKuCRC+uUbr6xMfPvW0KnSr+q7Ct3HjxvnCSG3A8M0330jPnj2dMFLthNqnTx9Zs2aNLwxoJAIIIICAuwKEb+76cnYEEEAAgRQLhGLB2vx1Yen9SPxab2rU279PMe3dT1N8SU6HQEYFCN8yyp+1F1c7ehYWFora1bQqcDv0e6tWreSJJ57I2vYf3rADBw7IG2+8IaeffrrjodbBu/fee0X9GeSBAAIIIIDA0QgQvh2NHu9FAAEEEEi7wO7YqLdhc2qOeus1xpDH5wVjU4TSXhIXRMBVAcI3V3l9ffLt27fLDTfc4IRNh4Zvbdq0kWeeecZXPiUlJTJy5Mi4te/UZgyzZ88Wy2L3bF/dDDQWAQQQSLEA4VuKQTkdAggggIB7AmrU24L1NUe9dR9pyG+eMWXDXv5x5J4+Z86UAOFbpuSz/7qGYcicOXPk+OOPrxHAtW/fXmbNmpX9CIe0UAVs69atk/z8fMdDTT/Ny8uT1atXH3IkPyKAAAIIIJCcAOFbcl4cjQACCCCQQYE9sR1OR71Vc9Rb3lhDpn4VzGBlXBoB9wQI39yz5cxibzZw2WWXOWFT1ei3jh07ytdff+07ItM05cMPP5ScnBzH5KSTTrKnn7L7qe9uBxqMAAIIpEyA8C1llJwIAQQQQMBNAbXDaeHGSI0dTnuMMuTG503ZsZ9Rb276c+7MCRC+Zc7eD1dWa52pEW5qjbeq4K1Ro0bSpUsX2bZtmx8IarSxrKxMCgoKpHnz5o6JCuPee++9GsfyBAIIIIAAAokIEL4losQxCCCAAAIZFyiptGTMuzVHvfUpMOT1JaGM10cBCLglQPjmliznrRLYvXu33H333XYAp4I3tc7ZqFGjYmto+nMRTdXujRs3ysCBA53w7bjjjpMBAwZIcXFxFRvfEUAAAQQQSFiA8C1hKg5EAAEEEMiUQNiKyndbItJ/QvwOp2rU2+BpppRW+vMfiJnqD66bXgHCt/R6+/Fqaq2zLVu2yEMPPSSDBg2ScePG+XbUW1X/BwIB+eijj+TMM890AriWLVvKo48+KsEgyxxUOfEdAQQQQCAxAcK3xJw4CgEEEEAggwL7DkRl8mdB6To8Pny7eJwhb/yDUW8Z7BounQYBwrc0IHMJW0CN+AqF+Du16nYoLS21A0k16k1NyVWjAs8//3wpLCysOoTvCCCAAAIIJCRA+JYQEwchgAACCGRKwIr9Y/CfOyJy5WQzLnxTo97+6yVTymLBHA8EslmA8C2be5e26SygRgSuWbNG+vTp44x+UzvD3nzzzVJeXq5z6dSGAAIIIKCZAOGbZh1COQgggAAC8QIVZlReWRSSboeNeuv7qCF/K2KERrwWv2WjAOFbNvYqbfKKgGEYMmfOHGnTpo0TwKk18d555x2vNIE6EUAAAQQ0ECB806ATKAEBBBBA4MgCaq3vjXstufa5mqPebn7ZlP0Go96OLMez2SRA+JZNvUlbvCigNqT4/e9/Lw0bNrQDuKZNm8pVV10laloqDwQQQAABBBIRIHxLRIljEEAAAQQyImCGovLu8rB0H1lzrbc5rPWWkT7houkXIHxLvzlXROBQgXA4LIsXL5ZzzjnHGf3Wvn17mTlz5qGH8TMCCCCAAAI/KUD49pM0vIAAAgggkGmBHfst+cOMQI213ga9wA6nme4brp8+AcK39FlzJQR+SqCsrEwKCgqkSZMmdgCnNmEYOHCg7Nu376fewvMIIIAAAgg4AoRvDgU/IIAAAgjoJrB+tyX9xsePeuv1sCGPvB/UrVTqQcA1AcI312g5MQIJC0QiEVm4cKE0b97cGf3WqVMnWbFiRcLn4EAEEEAAAf8KEL75t+9pOQIIIKC1QGllVB79MBg36k1NP70utv7brh8srWunOARSKUD4lkpNzoVA/QXUKLcJEyZIo0aN7ABOBXGDBg0S0zTrf1LeiQACCCDgCwHCN190M41EAAEEvCVgxXZa+OeOiAyYFL/RQt5YQ6Z+xag3b/Um1R6tAOHb0QryfgRSI2BZlixbtkzOPvtsZ/Rb586dpaioKDUX4CwIIIAAAlkrQPiWtV1LwxBAAAHvClQGovLXb0LSbXj1lNNuIwy55s+mbC5h1Jt3e5bK6yNA+FYfNd6DgDsCe/fulWHDhjnh2ymnnCIPP/ywOxfjrAgggAACWSNA+JY1XUlDEEAAgewR2LbPkv/3Svyot15jDBn3AaPesqeXaUmiAoRviUpxHALuC4RCIfnyyy9FhW4NGjSwN2DIy8tj4wX36bkCAggg4GkBwjdPdx/FI4AAAtknEIpEZeG/wqI2Vuj648g3NepNTUFdXhzJvgbTIgTqECB8qwOIlxFIs0BxcbG906kK39TXGWecIfPmzUtzFVwOAQQQQMBLAoRvXuotakUAAQR8IFAW22hh/EfxGy1c+JAhf5wdkIgV9YEATUQgXoDwLd6D3xDItEBFRYU8//zz0rBhQzt8a9Gihdx3332ZLovrI4AAAghoLED4pnHnUBoCCCDgN4HYPguybldEBk6On3Laf4IhX6wN+42D9iJgCxC+cSMgoJeA2nhh6dKl0q5dOzt8a9y4seTm5sr+/fv1KpRqEEAAAQS0ESB806YrKAQBBBBAwAxF5Z1lsY0WYtNMq6ac9hhlyM0vm2IEGfXGHeJPAcI3f/Y7rdZbYPv27XLttdfa4ZuaenrmmWfKZ599pnfRVIcAAgggkDEBwreM0XNhBBBAAIHDBXaXW/b00qrgTX3v/Ygh0wtDhx/K7wj4RoDwzTddTUM9JKCmnk6bNi1u6ukDDzzgoRZQKgIIIIBAOgUI39KpzbUQQAABBH5SwIrNOV25PSL9xlePelMj4K75sylq91MeCPhVgPDNrz1Pu3UWUFNPly1bJu3bt7dHvzVp0kTUrqcqlOOBAAIIIIDA4QKEb4eL8DsCCCCAQEYEKgNRmbEk5Ew3VaPecmM7no59L5iRergoAroIEL7p0hPUgUC8gJp6et111zlTT3NycmTJkiXxB/EbAggggAACMQHCN24DBBBAAAEtBLbvt+S2VwNO+NYtFr5d9rgp32yOaFEfRSCQKQHCt0zJc10EahcoLy+X5557zgnfWrVqJRMnTqz9TbyKAAIIIOBLAcI3X3Y7jUYAAQT0EohYUSnaEpG8sdVTTns8aNhhXDDMRgt69RbVpFuA8C3d4lwPgcQEIpGIPdKtRYsWdgDXtGlT+fWvfy3hMLtzJybIUQgggIB/BAjf/NPXtBQBBBDQVqDcjMpLC+KnnPYpMOT12DRUHgj4XYDwze93AO3XWWDz5s3St29fZ/Tbz3/+c9myZYvOJVMbAggggEAGBAjfMoDOJRFAAAEE4gXUlNNb/2JWTzmNbbRw1VOmFJex0UK8FL/5UYDwzY+9Tpu9IlBaWipjxoxxwrfTTjtNZs2a5ZXyqRMBBBBAIE0ChG9pguYyCCCAAAJHFlBTTpdujZ9ymjvakJFvBo78Bp5FwGcChG8+63Ca6ymBYDAo8+bNk2OPPdYO4E488UQZMmSIp9pAsQgggAAC7gsQvrlvzBUQQAABBGoRqIjtcvqXxfFTTvuNN+SLNayZUwsbL/lIgPDNR51NUz0psG7dOjn33HPt8K1JkyaSl5cnhmF4si0UjQACCCDgjgDhmzuunBUBBBBAIEGBHbEpp7e/Vr3LafeRhlw/1RS1DhwPBBAQIXzjLkBAb4GdO3fK4MGDnamnnTp1khUrVuhdNNUhgAACCKRVgPAtrdxcDAEEEEDgUAErGpXvt0dEba7QdfjBr4v+ZMikT4OHHsbPCPhagPDN191P4z0gUF5eLs8995wTvrVt21ZefPFFD1ROiQgggAAC6RIgfEuXNNdBAAEEEKghYASj8mZR/JTTSx8z5LstkRrH8gQCfhUgfPNrz9NurwhEIhFZtGiRHH/88XYAp77/9re/9Ur51IkAAgggkAYBwrc0IHMJBBBAAIEjC+wpt+T+OdVTTnuMMuSmaaYEQkw5PbIYz/pRgPDNj71Om70msHHjRunatasdvjVu3Fi6d+8uFRUVXmsG9SKAAAIIuCRA+OYSLKdFAAEEEKhdIDbjVNbvtuSyx01nymneWEOe/ZIpp7XL8arfBAjf/NbjtNeLArt375a77rrLmXqak5MjhYWFXmwKNSOAAAIIuCBA+OYCKqdEAAEEEKhbIBSO2juadhtRvd7bZU+Y9hpwdb+bIxDwjwDhm3/6mpZ6V+DAgQMyY8YMadiwoR3AtW7dWp566invNojKEUAAAQRSKkD4llJOToYAAgggkKhA2YGoPD4v6Ix6U1NO/+slU0IRppwmashx/hAgfPNHP9NKbwtYliVLly6VU0891Q7fmjdvLoMGDZKoGubNAwEEEEDA9wKEb76/BQBAAAEEMiOwtcySa5+Ln3L6zBdMOc1Mb3BVnQUI33TuHWpDoFpgy5Yt0q9fPzt8a9SokXTp0kX27dtXfQA/IYAAAgj4VoDwzbddT8MRQACBzAlYsZEAK7ZFJHd09ZRTtcvpsmJ2Oc1cr3BlXQUI33TtGepCIF6gpKRERowY4az71rFjR5k/f378QfyGAAIIIOBLAcI3X3Y7jUYAAQQyK2AEozK3KORMOe0+0pDrp8Z2OY2tA8cDAQTiBQjf4j34DQFdBUzTlLlz54oa9dagQQNp1aqVPPnkk7qWS10IIIAAAmkUIHxLIzaXQgABBBA4KLC73JI/zg444VuvMYY89jFTTrk/EDiSAOHbkVR4DgH9BNT6bitXrpQ2bdrY4VuzZs3khhtuYN03/bqKihBAAIG0CxC+pZ2cCyKAAAIIbNhriZpm2nX4wa/+Ewwp3MiUU+4MBI4kQPh2JBWeQ0BPga1bt0p+fj7rvunZPVSFAAIIZEyA8C1j9FwYAQQQ8KeAWu9t6daIqKmmKnzrNsKQq582pcJkyqk/7whaXZcA4VtdQryOgD4CpaWl8uCDD8at+7ZgwQJ9CqQSBBBAAIGMCBC+ZYSdiyKAAAL+FagMRGVGYfV6bz0fMuSemQH/gtByBOoQIHyrA4iXEdBIQK379vbbb8et+zZ58mSNKqQUBBBAAIFMCBC+ZUKdayKAAAI+Ftix35LbXq1e761PgSGzvw35WISmI1C7AOFb7T68ioBOAmrdt++//17atm1rj35r3ry5DBo0iHXfdOokakEAAQQyIED4lgF0LokAAgj4WeBfeyzpO656vbfLJ5pSXGb5mYS2I1CrAOFbrTy8iIB2AmrdtwEDBjjrvl1wwQWyf/9+7eqkIAQQQACB9AkQvqXPmishgAACvhdQ670VqfXeYuu8qfXe1Lpv1081GRHg+zsDgNoECN9q0+E1BPQTUOu+jR492ln3LScnRxYuXKhfoVSEAAIIIJA2AcK3tFFzIQQQQACBw9d7y33YkAffZr037gwEahMgfKtNh9cQ0E8gEAjIu+++66z71rp1a3nqqaf0K5SKEEAAAQTSJkD4ljZqLoQAAgggoNZ7u+O16vXe+j5qyIcrw8AggEAtAoRvteDwEgIaCqh131atWhW37tvgwYM1rJSSEEAAAQTSJUD4li5proMAAgggIBv2WtJ/QvV6b1c8aUppZRQZBBCoRYDwrRYcXkJAUwG17lt+fr6z7lvXrl2loqJC02opCwEEEEDAbQHCN7eFOT8CCCCAgC2g1ntbXhxb7y22zlvVem/XPWeigwACdQgQvtUBxMsIaChQUlIio0aNctZ9O+uss+Tbb7/VsFJKQgABBBBIhwDhWzqUuQYCCCCAgBjBqLxZFLKDNxW+XTjakGF/Y703bg0E6hIgfKtLiNcR0E/ANE2ZO3euNGzY0A7g2rRpI1OnTtWvUCpCAAEEEEiLAOFbWpi5CAIIIIDAnnLLDttU8Ka++hQY8sY/QsAggEAdAoRvdQDxMgIaCqh131asWCEtW7a0w7cTTjhBbr/9dg0rpSQEEEAAgXQIEL6lQ5lrIIAAAgjIphJL/n2K6Yx8y3/ClC2lFjIIIFCHAOFbHUC8jICmAps3b5a+ffva4Vvjxo2lV69eonZC5YEAAggg4D8Bwjf/9TktRgABBNIuEBsAIP/cEZHc2FRTNeqtW+zr6qdMUc/zQACB2gUI32r34VUEdBXYu3evDB061Fn3rXPnzrJ27Vpdy6UuBBBAAAEXBQjfXMTl1AgggAACBwVC4ah8vibsjHrrMcqQm19iswXuDwQSESB8S0SJYxDQT8AwDJk5c6YTvp122mkya9Ys/QqlIgQQQAAB1wUI31wn5gIIIIAAAvuNqDz9edAJ33IfNmTse0FgEEAgAQHCtwSQOAQBDQUsy5KioiJp0aKFHcCdfPLJMnz4cA0rpSQEEEAAAbcFCN/cFub8CCCAAAKyY78lt78acMK3i8cZ8u4yNlvg1kAgEQHCt0SUOAYBPQU2bdokubm5dvh27LHHyhVXXCEqlOOBAAIIIOAvAcI3f/U3rUUAAQQyIrBhryWXPnZwvTe15ttlsc0WNsae44EAAnULEL7VbcQRCOgqsHv3bhkyZIgz9fT888+XkpISXculLgQQQAABlwQI31yC5bQIIIAAAgcFrNiuCsuKI6LWeVPBm/oaONkUI8huC9wjCCQiQPiWiBLHIKCnQEVFhUybNs0J3zp27Cjz58/Xs1iqQgABBBBwTYDwzTVaTowAAgggoATMUNSeYloVvHUfach1U9lsgbsDgUQFCN8SleI4BPQTiEQisnDhQjnuuOPsAK5NmzYydepU/QqlIgQQQAABVwUI31zl5eQIIIAAAvsORGXiJ9WbLVz4kCH3zgoAgwACCQoQviUIxWEIaCqwbt066dy5sx2+qc0X7rvvPk0rpSwEEEAAAbcECN/ckuW8CCCAAAK2gNps4XfTqzdbuOhPhvw5tvMpDwQQSEyA8C0xJ45CQFeB4uJiGThwoB2+qRFw11xzja6lUhcCCCCAgEsChG8uwXJaBBBAAIGDAptKLLniSdNZ763vo4a8vyIMDwIIJChA+JYgFIchoKnA3r17ZejQoXb41qhRI/nVr34l4TCfg5p2F2UhgAACrggQvrnCykkRQAABBJRAbK8FWbk9IheOrt5s4ZLYrqffbYkAhAACCQoQviUIxWEIaCpQXl4uzz77rB2+NWjQQM477zwpLS3VtFrKQgABBBBwQ4DwzQ1VzokAAgggYAsEw1H5bHXYGfWmNl24fKIpaioqDwQQSEwW9+TbAAAOKUlEQVSA8C0xJ45CQFeBQCAg77zzjhO+qfXf1q9fr2u51IUAAggg4IIA4ZsLqJwSAQQQQOCgQLkZlRe+rt5soVssfLvqKVNCsVCOBwIIJCZA+JaYE0choKuAZVmyZMkSady4sR3A5eTk2L/rWi91IYAAAgikXoDwLfWmnBEBBBBA4EeBPRWWjHyrerOF7iMNuWmaiQ8CCCQhQPiWBBaHIqCpwOrVq+WUU06xw7czzjhDPvnkE00rpSwEEEAAATcECN/cUOWcCCCAAAK2wLZ9lgyOhW1quqn6uvAhQ+57I4AOAggkIUD4lgQWhyKgqYCaZnrOOefY4VuHDh3kvffe07RSykIAAQQQcEOA8M0NVc6JAAIIIGALbNxrSf4T1eFbrzGGjP8oiA4CCCQhQPiWBBaHIqCpwIYNG6RLly6Eb5r2D2UhgAACbgsQvrktzPkRQAABnwqonU6/Vzudxka7VY18yxtryAvzCd98ekvQ7HoKEL7VE463IaCRwObNmyUvL4/wTaM+oRQEEEAgnQKEb+nU5loIIICAjwTUpgpfro3f6fTicYa8WRTykQJNReDoBQjfjt6QMyCQaYGtW7dKfn4+4VumO4LrI4AAAhkSIHzLEDyXRQABBLJdoDIQlemFIWfUmxr91m+8IfPXh7O96bQPgZQKEL6llJOTIZARgeLiYhk4cKAdvrHhQka6gIsigAACGRUgfMsoPxdHAAEEsleg7EBUJsTWd6uacqq+X/q4Kat2RLK30bQMARcECN9cQOWUCKRZQI18GzBggB2+5eTkyOLFi9NcAZdDAAEEEMikAOFbJvW5NgIIIJDFArt+sOTeWYG48C1/oinb91tZ3GqahkDqBQjfUm/KGRFIt8CWLVukX79+dvh29tlny5o1a9JdAtdDAAEEEMigAOFbBvG5NAIIIJDNAsX7LBn0QvVOp2rk2xVPmqKmo/JAAIHEBQjfErfiSAR0FTh0t9Pzzz9fSktLdS2VuhBAAAEEXBAgfHMBlVMigAACCIhsLLFkQGykW9W0026x8O3qp02Jqm1QeSCAQMIChG8JU3EgAloKqM+9VatWSdu2beWYY46RSy65hM9CLXuKohBAAAH3BAjf3LPlzAgggIBvBVS8tmZXRHo9bDjhW/eRhtz4vOlbExqOQH0FCN/qK8f7ENBDIBgMyscffyyNGjWSk08+WUaMGKFHYVSBAAIIIJA2AcK3tFFzIQQQQMA/AmErKos2hJ3gTY1+6/mgIbe/FvAPAi1FIEUChG8pguQ0CGRAQI1627VrlwwZMkQaNmwonTp1ks8//zwDlXBJBBBAAIFMChC+ZVKfayOAAAJZKnAgGJWZ34biwrcLHzLkv2cTvmVpl9MsFwUI31zE5dQIuCwQDoelsLBQ2rVrJyeccILccsstYhiGy1fl9AgggAACugkQvunWI9SDAAIIZIHAD2ZUpn4VjAvfckcbMuotwrcs6F6akGYBwrc0g3M5BFIoEAqFZNGiRdKrVy+58cYbpaioKIVn51QIIIAAAl4RIHzzSk9RJwIIIOAhgf1GVKb8PT586zXGkEfeD3qoFZSKgB4ChG969ANVIFBfgQMHDsjixYtl/fr19T0F70MAAQQQ8LgA4ZvHO5DyEUAAAR0F9lZYMvqdQNzIt4v+ZMikTwnfdOwvatJbgPBN7/6hOgQQQAABBBBAoC4Bwre6hHgdAQQQQCBpgV0/WDLkr/HhW95YQ579kvAtaUze4HsBwjff3wIAIIAAAggggIDHBQjfPN6BlI8AAgjoKLBtnyU3TTPjRr71fsSQlxeGdCyXmhDQWoDwTevuoTgEEEAAAQQQQKBOAcK3Ook4AAEEEEAgWYHNpZZc/XR8+NanwJDphYRvyVpyPAKEb9wDCCCAAAIIIICAtwUI37zdf1SPAAIIaCmwYa8llz5eM3yb9S3hm5YdRlFaCxC+ad09FIcAAggggAACCNQpQPhWJxEHIIAAAggkK7B+tyVqjbeuw6u/Lh5nyNwiwrdkLTkeAcI37gEEEEAAAQQQQMDbAoRv3u4/qkcAAQS0E4jGKlq9MyI9RlUHbyqEU+Hbu8vD2tVLQQjoLkD4pnsPUR8CCCCAAAIIIFC7AOFb7T68igACCCCQpIAVjUrR1kjcqDcVvvV91JAPVhK+JcnJ4QgI4Rs3AQIIIIAAAggg4G0Bwjdv9x/VI4AAAtoJhCJR+Wpd+Ijh20eEb9r1FwXpL0D4pn8fUSECCCCAAAIIIFCbAOFbbTq8hgACCCCQtEAgFBUVsh263lvVyLcPCd+S9uQNCBC+cQ8ggAACCCCAAALeFiB883b/UT0CCCCgnYARjMqbsY0VCN+06xoK8qgA4ZtHO46yEUAAAQQQQACBHwUI37gVEEAAAQRSKlAZiMpflxC+pRSVk/lagPDN191P4xFAAAEEEEAgCwQI37KgE2kCAgggoJNAhRmVlxccOXxjwwWdeopavCJA+OaVnqJOBBBAAAEEEEDgyAKEb0d24VkEEEAAgXoK/GBE5ZkvgjWmnV48zpD3lrPbaT1ZeZuPBQjffNz5NB0BBBBAAAEEskKA8C0rupFGIIAAAvoI7DsQlSc/PXL4Nje2FhwPBBBIToDwLTkvjkYgWYFoVCRsRcWIbRj0Q2z0tvqdBwIIIIAAAqkUIHxLpSbnQgABBBCQslj49tjHNcO3PgWGzPqW8I1bBIFkBQjfkhXjeAQSFzBjgds/Nkfsz6dXFoVkemFIgmHSt8QFORIBBBBAIBEBwrfDlCKRiOzZs0cKCwvl66+/5gsD7gHuAe6BJO+BD/++SO58cUONaae9Rv8gY15fjWeSnnwW8Vn88ccfyz333CMNGjSwv9q1aydTp07lzxJ/lrgHUnAPvP/ZYrn5fzY7n1l9C0rl0y8WYpsCWz6/+PziHuAe8Ns9sHDhQlm1apWEQjUHHBC+HRa+lZWVycSJE6VPnz7So0cPvjDgHuAe4B5I8h7odtGl8m83vuL8Q6brcMP++YI/7pD//R/j8UzSk88iPou7du0qHTt2dMK34447Tn7xi1/wZ4k/S9wDKbgHul6UL//2n391PrO63L1auvXqj20KbPn84vOLe4B7wG/3QG5urgwePFgWL158WNIkQvh2GMnatWulQ4cOzn/gVv1fZr4f/L/tOODAPcA9UNc90Kh5Kzmt/2POP2Sqwrf/c0+xtOpePXqnrvPwOvca9wD3APcA94Db94D9mXXJJOcz6/zblkqjpqfyb4EfR9q67c/5+TPOPcA9kG33QIsWLWTo0KGHJU2EbzVANm/eLBdffLGccMIJov7PMl8YcA9wD3APJHcPNDvldDnj8inOP2Sqwrdf3rtd2vd+kL9X+WzhHqjHPdCkSRMnDGjYsKEcc8wxONbDkb/Pk/v73A9ezU4+XTpcVh2+/a/bl0vT2HN+aDtt5M8D9wD3APdAau+BZs2aSefOnWXKlCk1siZGvh1GYhiGfPbZZ3LvvffKHXfcwRcG3APcA9wDSd4Dt915n9xU8IkMetGU//usKbmjD0477TqsVPoMeRvPJD35LOKz+JZbbhE1jaHq/wyfeOKJcs011/BniT9L3AOpuAfuuk9+99hHcufrAbn1L6ZcN3mL3PqHodimwpZzcB9xD3AP+OweuPPOO2XSpEmyY8eOw5ImRr7VAOEJBBBAAIGjEwhHorJjvyVrdkXkq3VhuWqKaY+CUyHcyLcCR3dy3o2ADwXY7dSHnU6T0yag9jW1rKiEYp9de8ot+X57RMwgu52mrQO4EAIIIOATAUa++aSjaSYCCCCQCYHt+yy55eWD4duFDxny37MJ3zLRD1zT2wKEb97uP6pHAAEEEEAAAQQI37gHEEAAAQRcE9j5gyV/mBGwR771fNCQO14jfHMNmxNnrQDhW9Z2LQ1DAAEEEEAAAZ8IEL75pKNpJgIIIJAJATWFZ9jfDoZv3UcaMugFMxNlcE0EPC1A+Obp7qN4BBBAAAEEEEBACN+4CRBAAAEEXBMorYxKwQdBe+RbtxGGXPO0KVaUtXRcA+fEWSlA+JaV3UqjEEAAAQQQQMBHAoRvPupsmooAAgikW2C/EZU/f34wfOs63JABk0ypDBC+pbsfuJ63BQjfvN1/VI8AAggggAACCBC+cQ8ggAACCLgmoIK21wpD9sg3Fb7lP2HKttgmDDwQQCBxAcK3xK04EgEEEEAAAQQQ0FGA8E3HXqEmBBBAIEsEzFBU3l0edsK3Sx83ZdX2SJa0jmYgkB4Bwrf0OHMVBBBAAAEEEEDALQHCN7dkOS8CCCCAgIQiUZm/vjp86z/ekK//FUYGAQSSECB8SwKLQxFAAAEEEEAAAQ0FCN807BRKQgABBLJFQO2tsGJbRNROp2ra6cXjDHlraShbmkc7EEiLAOFbWpi5CAIIIIAAAggg4JoA4ZtrtJwYAQQQQEAJrN9tSe+xB8O3vNj3F78mfOPOQCAZAcK3ZLQ4FgEEEEAAAQQQ0E+A8E2/PqEiBBBAIKsENpVYcuWTpj3yrdcYQ8Z/FMyq9tEYBNwWIHxzW5jzI4AAAggggAAC7goQvrnry9kRQAAB3wsUx3Y3/c8XD4ZvF442ZOicgO9NAEAgGQHCt2S0OBYBBBBAAAEEENBPgPBNvz6hIgQQQCCrBHb9YMndMwP2yLceowy5+WUzq9pHYxBwW4DwzW1hzo8AAggggAACCLgrQPjmri9nRwABBHwvUFoZlYIPgnb41m2EIVc/bUooHNuJgQcCCCQkQPiWEBMHIYAAAggggAAC2goQvmnbNRSGAAIIZIdAuRmVaQtCdvimdjy9fKIpO2Oj4XgggEBiAoRviTlxFAIIIIAAAgggoKvA/wcAAP//AdMARAAAQABJREFU7d33u2x1fS9w/5T8ER6agIpoNEVNTDM3ublJbpJrSZ5rkpsIHKnSxAa2YI2iRMWGLbEgBCwYe6EIiGIo0s+Bw8zs2TPzvWvtgb05280+M3tW+ZbXfp7znF3WrO/383qvn97PrFlPC74IECBAgECLAqPxLHz+R+vh6a8ebPw7+cJB+M4dkxZXdGoCeQkcPHgwXHzxxeFpT3vaxr9f+7VfC1//+tfzGtI0BAgQIECAAIGMBZ6W8WxGI0CAAIEIBCbT2UbZdtSp8/Lt2ecNwmd/uB7BzmyBQBoCyrc0crJLAgQIECBAgMBTCSjfnkrG7wkQIECgMYFb752GE86el2/1/5deu9bYuZ2IQO4CyrfcEzYfAQIECBAgkLuA8i33hM1HgACBCAR+/uA0vOiS4cZtp8edMQinXzmKYFe2QCANAeVbGjnZJQECBAgQIEDgqQSUb08l4/cECBAg0JjA3Qem4f9cNtoo344+bRD+4n3Dxs7tRARyF1C+5Z6w+QgQIECAAIHcBZRvuSdsPgIECEQg8OChWTj382sb5du+6sELL7x4GIbVgxh8ESBwZAHl25GNHEGAAAECBAgQiFlA+RZzOvZGgACBTAQOjWbhsuvHG+Vb/dTT5100DLffP81kOmMQaFdA+daur7MTIECAAAECBNoWUL61Lez8BAgQIBDG67NwzS3roX7XW12+nXT+IFz9E088dWkQWERA+baIkmMIECBAgAABAvEKKN/izcbOCBAgkI3ArLrD9Ma7J6F+2EJdvp14ziC892vjbOYzCIE2BZRvbeo6NwECBAgQIECgfQHlW/vGViBAgACBSmDjiafVZ73V5Vtdwu3/lCeeujAILCKgfFtEyTEECBAgQIAAgXgFlG/xZmNnBAgQyErgnoPT8LeXz594etSpg/An7xqGaf2WOF8ECOwqoHzblccfCRAgQIAAAQLRCyjfoo/IBgkQIJCHwMOPzcKbvjx/4mn97rffeOMwPFQ9BdUXAQK7CyjfdvfxVwIECBAgQIBA7ALKt9gTsj8CBAhkIjAcz8Knf7C++cTTky8YhG/9fJLJdMYg0J6A8q09W2cmQIAAAQIECHQhoHzrQtkaBAgQILBxi+n3fzEJx+yfP3Thma8dhMu/6aELLg0CRxJQvh1JyN8JECBAgAABAnELKN/izsfuCBAgkJXAzx6Yhhe8YeuhC2dc6aELWQVsmFYElG+tsDopAQIECBAgQKAzAeVbZ9QWIkCAAIH6oQuv+NDhD11Yn/rcN1cGgd0ElG+76fgbAQIECBAgQCB+AeVb/BnZIQECBLIRODCYhUu+svXQhee/fhjqQs4XAQJPLaB8e2obfyFAgAABAgQIpCCgfEshJXskQIBAJgJr67PwxRvWw75T5p/7dtL5g3D1T9Yzmc4YBNoRUL614+qsBAgQIECAAIGuBJRvXUlbhwABAgTCrLrD9KZ7JuH4s+bl2wlnD8Lbrl4jQ4DALgLKt11w/IkAAQIECBAgkICA8i2BkGyRAAECOQn84qFp+KN/mT904ZjXDMIrq8+Aq0s5XwQI7CygfNvZxW8JECBAgAABAqkIKN9SSco+CRAgkInAA4em4cxPzx+6UN9++sKLh+HAY9q3TOI1RgsCyrcWUJ2SAAECBAgQINChgPKtQ2xLESBAgEAIg7VZ+Ph3x+Hpr57fevqcCwbh+tsnaAgQeAoB5dtTwPg1AQIECBAgQCARAeVbIkHZJgECBHIRmFb3mP7gzkk47oytz31753U+9y2XfM3RvIDyrXlTZyRAgAABAgQIdCmgfOtS21oECBAgsCFwx4PT8Htv2/rct7/7N5/75tIg8FQCyrenkvF7AgQIECBAgEAaAsq3NHKySwIECGQlcP+j03D6lVuf+/ai6nPfHva5b1llbJjmBJRvzVk6EwECBAgQIECgDwHlWx/q1iRAgEDhAk987tu+xz/37aTzB+G6W9cLVzE+gZ0FlG87u/gtAQIECBAgQCAVAeVbKknZJwECBDISmFYPN/3xXZNwwtnzz307/qxBeNOXfe5bRhEbpUEB5VuDmE5FgAABAgQIEOhBQPnWA7olCRAgQCCEOx+ehv/57vnnvh192iD8xfuGYX1StXK+CBA4TED5dhiHHwgQIECAAAECyQko35KLzIYJECCQh0D9GW9v/NJaePrjt54+//XD8IvqQQy+CBA4XED5driHnwgQIECAAAECqQko31JLzH4JECCQicDa+ixcddN6qN/1Vhdwzzp3ED7+3XEm0xmDQHMCyrfmLJ2JAAECBAgQINCHgPKtD3VrEiBAgMCGwE/vm4Zfv2h+6+mxpw/CP39sFGbuPHV1EDhMQPl2GIcfCBAgQIAAAQLJCSjfkovMhgkQIJCPwH2PTMM/VYVb/c63facMwosvGYaHDmnf8knYJE0IKN+aUHQOAgQIECBAgEB/Asq3/uytTIAAgeIFHlubhY99Z7xRvNUF3EnnD8LVN68X7wKAwJMFlG9P1vA9AQIECBAgQCA9AeVbepnZMQECBLIRmFZvcrvh7kl45mvnn/v2jDMH4bzPr2Uzn0EINCGgfGtC0TkIECBAgAABAv0JKN/6s7cyAQIECFQCdx+Yhr/5wPzW06NOHYSXXjoMh0ZuPXVxEHhCQPn2hIT/CRAgQIAAAQJpCijf0szNrgkQIJCNwKPDWXjv18Ybn/tW33r6nAsG4frbJ9nMZxACqwoo31YV9HoCBAgQIECAQL8Cyrd+/a1OgACB4gUm1b2n3/vFJJxw9tatp6/7gltPi78wAGwKKN82KXxDgAABAgQIEEhSQPmWZGw2TYAAgbwE7qpuPf3L9w033v3m1tO8sjXN6gLKt9UNnYEAAQIECBAg0KeA8q1PfWsTIECAwIbAI9Wtp+/56uG3nn7TraeuDgIbAso3FwIBAgQIECBAIG0B5Vva+dk9AQIEshCobz397h2H33p64X+49TSLcA2xsoDybWVCJyBAgAABAgQI9CqgfOuV3+IECBAg8IRAfevp//7XrVtP//Adw3Bg4KmnT/j4v1wB5Vu52ZucAAECBAgQyENA+ZZHjqYgQIBA8gKPjmbhA98Yh32nzB+8cNL5g3DVzevJz2UAAqsKKN9WFfR6AgQIECBAgEC/Asq3fv2tToAAAQKPC0xns/Djuybh2efNy7fjzhiE/Z8chfr3vgiULKB8Kzl9sxMgQIAAAQI5CCjfckjRDAQIEMhE4N5HpuFVHxltPPW0fgfciy4ehl8enGYynTEI7E1A+bY3N68iQIAAAQIECMQioHyLJQn7IECAAIEwWJuFT31vHI46df7ut2e+dhCu+PaYDIGiBZRvRcdveAIECBAgQCADAeVbBiEagQABArkI1HeY3nrvNLzgDfMHLxyzfxBe/sFRGI3deppLxuZYXkD5tryZVxAgQIAAAQIEYhJQvsWUhr0QIECAQHjw0Cyc9/m1jVtPn/7qQXje64bhh3dOyBAoVkD5Vmz0BidAgAABAgQyEVC+ZRKkMQgQIJCLwHgyC1+9bT0848z5raf1/xd9YS147kIuCZtjWQHl27JijidAgAABAgQIxCWgfIsrD7shQIAAgUrgroen4c/fO7/1tP78t99/+zA8cMiDF1wcZQoo38rM3dQECBAgQIBAPgLKt3yyNAkBAgSyETg0moXLrt968MKzzh2EK7/vwQvZBGyQpQSUb0txOZgAAQIECBAgEJ2A8i26SGyIAAECBKbV8xVuvmey8Xlv9ee+HfOaQXhF9eCFoQcvuDgKFFC+FRi6kQkQIECAAIGsBJRvWcVpGAIECOQjUD944ZzPbj144bkXDsJ37vDghXwSNsmiAsq3RaUcR4AAAQIECBCIU0D5FmcudkWAAIHiBeoHL3ztp+vh+LPmD1447oxBOOsza2HqyQvFXxulASjfSkvcvAQIECBAgEBuAsq33BI1DwECBDISuPvgNLysut20vvV03ymD8MKLh+EXD3nwQkYRG2UBAeXbAkgOIUCAAAECBAhELKB8izgcWyNAgEDpAoO1WfhU9aCFY/bP3/12wtmD8M5r10pnMX9hAsq3wgI3LgECBAgQIJCdgPItu0gNRIAAgXwEqucuhJ89MA0vedtw491vR506CC+9dBgeeNS73/JJ2SRHElC+HUnI3wkQIECAAAECcQso3+LOx+4IECBQvMAjw1l493XjUBdv9e2nz3ztIFzx7XHxLgDKEVC+lZO1SQkQIECAAIE8BZRveeZqKgIECGQjUD9g4aZ7JuEFr5+/++3o6hbUv/zXYahLOV8EShBQvpWQshkJECBAgACBnAWUbzmnazYCBAhkIvDwY7Pwhi+uhX3VO9/qd789+7xB+NKN65lMZwwCuwso33b38VcCBAgQIECAQOwCyrfYE7I/AgQIEAiT6Sx8945JOKkq3ery7ZjXDMLfXT4Kj1UPZPBFIHcB5VvuCZuPAAECBAgQyF1A+ZZ7wuYjQIBAJgL3Vw9ZOOPK0Ub5Vhdwz7lgEK671bvfMonXGLsIKN92wfEnAgQIECBAgEACAsq3BEKyRQIECBAIYTyZha//dH3jgQt1+XZs9e63V31kFAbe/ebyyFxA+ZZ5wMYjQIAAAQIEshdQvmUfsQEJECCQj8B91bvfTvn41rvfTr5wEL5RFXK+COQsoHzLOV2zESBAgAABAiUIKN9KSNmMBAgQyERgvD7buNX0xHPmn/127OmD8I9XjMJw7LPfMonYGDsIKN92QPErAgQIECBAgEBCAsq3hMKyVQIECBAI4d5HphuFW33raf3vua8bhutvn6AhkK2A8i3baA1GgAABAgQIFCKgfCskaGMSIEAgF4G16t1v19yyHp787re//2j15NORd7/lkrE5DhdQvh3u4ScCBAgQIECAQGoCyrfUErNfAgQIEAj3Ve9++6ePPemz36onn/5nVcj5IpCjgPItx1TNRIAAAQIECJQkoHwrKW2zEiBAIBOB+rPfvnrbenjWufNbT4+pnnz6ystH4dGhd79lErExniSgfHsShm8JECBAgAABAgkKKN8SDM2WCRAgQCCE+6snn+7/1Cjse/yz35593iB84QbvfnNt5CegfMsvUxMRIECAAAECZQko38rK27QECBDIRmA8mYVv/mwSTjr/8Xe/7R+Ev3r/KDx4yLvfsgnZIBsCyjcXAgECBAgQIEAgbQHlW9r52T0BAgSKFqiLtnM/txb2nTIv4J752kH48LfGYaZ/K/q6yG145VtuiZqHAAECBAgQKE1A+VZa4uYlQIBARgKT6Sz84L8n4QWvH4anV7efHn3aILz00mG48+FpRlMapXQB5VvpV4D5CRAgQIAAgdQFlG+pJ2j/BAgQKFzgwGAW3n7N2kbxVhdwJ5w9CG+7ei3UxZwvAjkIKN9ySNEMBAgQIECAQMkCyreS0zc7AQIEMhCoO7Zb752Gl7x1/u63+hbUF108DDffM8lgOiMQCEH55iogQIAAAQIECKQtoHxLOz+7J0CAAIFK4NBoFi7/r3E49vT5Z78dd8YgnPHpURisefebCyR9AeVb+hmagAABAgQIEChbQPlWdv6mJ0CAQBYCdcVWf87bX/7r4+9+q24/fe6Fg3DNT9azmM8QZQso38rO3/QECBAgQIBA+gLKt/QzNAEBAgQIVAKj8Sx86ab1UD/xtP7st2P2D8LffGAUHnjUwxdcIGkLKN/Szs/uCRAgQIAAAQLKN9cAAQIECGQjcH9VtJ1x5SjUn/tWF3AnnjMIl31jHKYzt59mE3KBgyjfCgzdyAQIECBAgEBWAsq3rOI0DAECBMoWWK+evvD9/56E33jj/PbTo04dbDyI4ZZfevhC2VdG2tMr39LOz+4JECBAgAABAso31wABAgQIZCVwcDgL77puLRz7msMfvlA/lMEXgRQFlG8ppmbPBAgQIECAAIEtAeXbloXvCBAgQCADgfoO0zsenIb/9d75u9/q20+fc8EgfOEGD1/IIN4iR1C+FRm7oQkQIECAAIGMBJRvGYVpFAIECBCYC9QPX/hy9fCFZ583f/fb0acNwp+9Zxjuqp6I6otAagLKt9QSs18CBAgQIECAwOECyrfDPfxEgAABApkIPHhoFs77/FqoP/etfvfb8WcNwpuvWtt4KmomIxqjEAHlWyFBG5MAAQIECBDIVkD5lm20BiNAgEDZAvUTTm+6Z7LxwIW6fKufgPr81w/DV29z+2nZV0Z60yvf0svMjgkQIECAAAECTxZQvj1Zw/cECBAgkJXAY2uz8LHvjMMJZ8/f/XbM/kH4q/ePwt0H3H6aVdCZD6N8yzxg4xEgQIAAAQLZCyjfso/YgAQIEChb4L5Hp+GUT4w2bz+ti7i3XO3207KvirSmV76llZfdEiBAgAABAgS2Cyjftov4mQABAgSyElifzsIP75yE33nL/Omnbj/NKt4ihlG+FRGzIQkQIECAAIGMBZRvGYdrNAIECBCYCxwazcJHv/2rt5/e6emnLpEEBJRvCYRkiwQIECBAgACBXQSUb7vg+BMBAgQI5CNw3yPT8OqPb91+Wj/99A1fXAv158L5IhCzgPIt5nTsjQABAgQIECBwZAHl25GNHEGAAAECGQg8cfvpS976+O2n1RNQT75wEP7jx+thVj0Z1ReBWAWUb7EmY18ECBAgQIAAgcUElG+LOTmKAAECBDIQqN/l9snvjcOzzp0//fTo0wbhjy8dhlt+OclgOiPkKqB8yzVZcxEgQIAAAQKlCCjfSknanAQIECCwIfDgoVk493Nr4Zj98wLuuDMGYf+nRuGhx7z7zSUSp4DyLc5c7IoAAQIECBAgsKiA8m1RKccRIECAQBYC0+oW09vum4Y/e8/89tOnV7efPvO1g3DZ9eOwtq6AyyLkzIZQvmUWqHEIECBAgACB4gSUb8VFbmACBAgQGI1n4eqfrIdfv+jxz387ZRB+803D8NXb6s9/40MgLgHlW1x52A0BAgQIECBAYFkB5duyYo4nQIAAgSwEDg5m4Z3XrYX6qaf1u9/q21D//H3DcPv90yzmM0Q+Asq3fLI0CQECBAgQIFCmgPKtzNxNTYAAgeIF6je4/fLgNPzTFaNQP3ihLuCeceYgnPUZn/9W/MURGYDyLbJAbIcAAQIECBAgsKSA8m1JMIcTIECAQD4Ck+ks3Hj3JLy0euJpXb7V/+onoX7gG+NQ35rqi0AMAsq3GFKwBwIECBAgQIDA3gWUb3u380oCBAgQyEBgWJVsX7xxPTzvdVuf//aCNwzDVTevh/rhDL4I9C2gfOs7AesTIECAAAECBFYTUL6t5ufVBAgQIJCBwMbnv127Fk44e/7ut/o21PrdcD++a5LBdEZIXUD5lnqC9k+AAAECBAiULqB8K/0KMD8BAgQIbAjc+8g07P/kaOPBC/Xtp8eePgiv+vAo3PWwBzC4RPoVUL716291AgQIECBAgMCqAsq3VQW9ngABAgSyEKhvMb3tvmn4i+qJp/tOmb8Drn4S6uu/uBYefsztp1mEnOgQyrdEg7NtAgQIECBAgMDjAso3lwIBAgQIEHhcYLw+C9ffPgkvuuRXH8AwWFPAuVD6EVC+9eNuVQIECBAgQIBAUwLKt6YknYcAAQIEshB4rCrZPvm9cTj5wvm73+p3wT3/omH49x+vh/Xq6ai+CHQtoHzrWtx6BAgQIECAAIFmBZRvzXo6GwECBAhkIHBgMAvvuGYtnHjOvIA76tRBeMnbhuGbP5sED0DNIODERlC+JRaY7RIgQIAAAQIEtgko37aB+JEAAQIECNQC91UPYDjz06ONBy/UD2A4Zv9g4/PgbrzbE1BdId0KKN+69bYaAQIECBAgQKBpAeVb06LOR4AAAQJZCNQPYPj5A9Pwyg+NQv3Ot80noH5ktPH7LIY0RBICyrckYrJJAgQIECBAgMBTCijfnpLGHwgQIECgdIH1ySz86M5J+JN3bT0B9RlnDsJZnxmFXx6cls5j/o4ElG8dQVuGAAECBAgQINCSgPKtJVinJUCAAIE8BNaqJ6B+7bb18Ltv3XoC6glnD8LFV62Fhx7zAIY8Uo57CuVb3PnYHQECBAgQIEDgSALKtyMJ+TsBAgQIFC8wqJ6A+u8/Wg+/8catAu5Z5w7C+742Do8MFXDFXyAtAyjfWgZ2egIECBAgQIBAywLKt5aBnZ4AAQIE8hB4dDQL//Zf43DyhfPPf9t3yiCcfMEgfPhb4/BYVc75ItCWgPKtLVnnJUCAAAECBAh0I6B868bZKgQIECCQgcCBwSy84z/XQv2ut/oBDHUB9+sXDcOV3x+H4VgBl0HEUY6gfIsyFpsiQIAAAQIECCwsoHxbmMqBBAgQIEAghAcPzcLrvrAWTjxnXsDVT0L9rTcNw3/8eD2Mq8+H80WgaQHlW9OizkeAAAECBAgQ6FZA+datt9UIECBAIHGBWdWv3fvINJz9mbVQP/m0fgdcXcC9+JJh+MrNVQFXPSHVF4EmBZRvTWo6FwECBAgQIECgewHlW/fmViRAgACBxAXqAu6uA9NwysdH4bgz5gXc0acNwkveNgzX3KKASzze6LavfIsuEhsiQIAAAQIECCwloHxbisvBBAgQIEBgLjCtGrifPzgNf/+RUTj29K0C7vffPgzX3roe1r0DzqXSkIDyrSFIpyFAgAABAgQI9CSgfOsJ3rIECBAgkL7AZDoLP71/Gv7u36oC7jVbBdwfvmMYvnqbAi79hOOYQPkWRw52QYAAAQIECBDYq4Dyba9yXkeAAAECBCqBuoC79d5peOWHDi/g/uhfhuG66h1wPgPOZbKqgPJtVUGvJ0CAAAECBAj0K6B869ff6gQIECCQgUBdwP3kl5Pw8g+OwjH7t94B9wfVO+A2PgPOU1AzSLm/EZRv/dlbmQABAgQIECDQhIDyrQlF5yBAgACB4gXWqwLu5nsm4WWXHf4OuN+rHsJQPwV1TQFX/DWyVwDl217lvI4AAQIECBAgEIeA8i2OHOyCAAECBDIQeKKAe0V9C+rjD2E46tRB+N23DsOXblwPw3H1mFRfBJYUUL4tCeZwAgQIECBAgEBkAsq3yAKxHQIECBBIW6C+BfWW6hbU+iEMxz2pgHvhxcPw2R+uh0MjBVzaCXe/e+Vb9+ZWJECAAAECBAg0KaB8a1LTuQgQIECAQCXwxFNQX/WRqoA7Y/4ZcPtOGYQXvGEYrvjOOBwcKOBcKIsLKN8Wt3IkAQIECBAgQCBGAeVbjKnYEwECBAgkLzCdzcLPHpiG/3fFKBx/1lYB99wLB+Gy68fhwUMKuORD7mgA5VtH0JYhQIAAAQIECLQkoHxrCdZpCRAgQIBAXcD990PTcPqVo3DiOY8XcK8ehGefNwiXXrsW7j4whUTgiALKtyMSOYAAAQIECBAgELWA8i3qeGyOAAECBFIXqPq38MuD03De59c2SrenV+Vb/a8u4173hbVw+/0KuNQzbnv/yre2hZ2fAAECBAgQINCugPKtXV9nJ0CAAAECoS7gHnh0Gt581Vqobzt9ooCrPw/u1E+Mwg13T6pj3IbqUtlZQPm2s4vfEiBAgAABAgRSEVC+pZKUfRIgQIBA8gIHqgctvOer4/CbbxyGfY+/A+7Y6omoL//gKHzrZ5Mwnijgkg+5hQGUby2gOiUBAgQIECBAoEMB5VuH2JYiQIAAAQKHRrPwie+Ow+++tSrgqieg1u+CO2b/IPyPdw7Dl29aD49Vf/dF4MkCyrcna/ieAAECBAgQIJCegPItvczsmAABAgQSFxiOZ+ErN69vFG5HnzYv4I46dRB++83D8NFvj8MDh3wOXOIRN7p95VujnE5GgAABAgQIEOhcQPnWObkFCRAgQIBACGvrs/Dtn0/CX79/FOrPfqvfAVe/E+6k8wfh7deshTuqp6T6IlALKN9cBwQIECBAgACBtAWUb2nnZ/cECBAgkLDA+nQWbrl3Ev7546PwzNduPYjh+LMG4cxPj8KP7pqESXWMr7IFlG9l5296AgQIECBAIH0B5Vv6GZqAAAECBBIWqB9yes/BabjoC2vheRcNN5+EeuxrBuGvPzAK195afQ7cmgIu4YhX3rrybWVCJyBAgAABAgQI9CqgfOuV3+IECBAgQGAucLB6Eur7vzEOL7pk60EM9efBvfgtw3DFd8bh/kfdhlrqtaJ8KzV5cxMgQIAAAQK5CCjfcknSHAQIECCQvMCgeofbF29YD3/67mGo3/m2+Tlw5w3CxVethVvvnYb6nXK+yhJQvpWVt2kJECBAgACB/ASUb/llaiICBAgQSFhgPJmFH905CX//kcM/B65+KMM/fHQUrr99EuqnpfoqR0D5Vk7WJiVAgAABAgTyFFC+5ZmrqQgQIEAgYYFp9fa2uw9Mw+uqz4F7/uur21CrJ6HW74Krb0P9/bcPwye+Ow73PeI21IQjXmrryreluBxMgAABAgQIEIhOQPkWXSQ2RIAAAQIE5gKPDGfhw98ahz+oCrdj9j/pNtTzB+FNX14LN9/jaaglXCvKtxJSNiMBAgQIECCQs4DyLed0zUaAAAECyQuM1mcbt5q+4kOjcOI58wKufhfcsacPwisvH4VrfrIe6pLOV74Cyrd8szUZAQIECBAgUIaA8q2MnE1JgAABAgkL1Leh/uKhabjg39fCC96wdRvqUacOwm+/eRje9/Vx+NkDHsaQcMS7bl35tiuPPxIgQIAAAQIEohdQvkUfkQ0SIECAAIG5QP0Ot49+exxeemn1NNTqnW/1O+Dqf8efNQiv/vgoXHXTenjUu+Cyu1yUb9lFaiACBAgQIECgMAHlW2GBG5cAAQIE0hZYq25D/d4vJuEfrxiF51Sf/fZEAbfvlEF47oWD8P5vjMMdD3oXXNopH7575dvhHn4iQIAAAQIECKQmoHxLLTH7JUCAAIHiBaq7UDeednrptWvhd95S3YZaFW9PlHAnnD0Ip1852vicuMdGPgsuh4tF+ZZDimYgQIAAAQIEShZQvpWcvtkJECBAIGmB4XgWrq4euPCn7x6G487YKuCOPm0Qfu9tw3D5N5/4LDglXMpBK99STs/eCRAgQIAAAQIhKN9cBQQIECBAIGGB9cks3HTPZOPdbi++ZBjq4q1+F9y+6l/9LrhTPjEK196yHg4MFHCpxqx8SzU5+yZAgAABAgQIzAWUb64EAgQIECCQgcBgbRa+cvN6ePkHR+FZ5269C+6JJ6LWt6jeePckjKuyzldaAsq3tPKyWwIECBAgQIDAdgHl23YRPxMgQIAAgUQFptWHwd318DRcctX8s+CO2b9Vwh1XPR31ZZeNwud+tB7uPuCBDClFrHxLKS17JUCAAAECBAj8qoDy7VdN/IYAAQIECCQtUH8WXH2r6f/98CicXD0Btb4FdeNW1OrBDM+5YBDO/dxa+MZP18NBt6ImkbPyLYmYbJIAAQIECBAg8JQCyrenpPEHAgQIECCQrkD9RNT7H52G931tHP740mF4xplb74KrPxeufkrqu64bhxvumoS1dbeixpy08i3mdOyNAAECBAgQIHBkAeXbkY0cQYAAAQIEkhUYV8XaD++chDM+PQq/9aZhqD8Drn4XXP2vvhX1rz8wCp/83vypqJOpEi7GoJVvMaZiTwQIECBAgACBxQWUb4tbOZIAAQIECCQr8OhwFj77w/kDGepbT598K+qJ5wzCP39sFL5443q440GfBxdbyMq32BKxHwIECBAgQIDAcgLKt+W8HE2AAAECBJIVqB/IcM/B6cbtpn/8zmE4/qytd8Htqz4P7rnV58Od+olR+Fr1eXCPVGWdrzgElG9x5GAXBAgQIECAAIG9Cijf9irndQQIECBAIFGB8WQWbrh7svHghfqz3459zVYJV9+OWhdzt903TXS6/LatfMsvUxMRIECAAAECZQko38rK27QECBAgQGBTYFA9FfU/q6ei1rec/mb1eXD1gxjq8u1ll43CfY8o3zahev5G+dZzAJYnQIAAAQIECKwooHxbEdDLCRAgQIBAygL1U1EfGczCp3+wHv728vlDGa6tCjlf8Qgo3+LJwk4IECBAgAABAnsRUL7tRc1rCBAgQIBAZgL158Hd/+g0fK56KMOoekKqr3gElG/xZGEnBAgQIECAAIG9CCjf9qLmNQQIECBAgACBjgSUbx1BW4YAAQIECBAg0JKA8q0lWKclQIAAAQIECDQhoHxrQtE5CBAgQIAAAQL9CSjf+rO3MgECBAgQIEDgiALKtyMSOYAAAQIECBAgELWA8i3qeGyOAAECBAgQKF1A+Vb6FWB+AgQIECBAIHUB5VvqCdo/AQIECBAgkLWA8i3reA1HgAABAgQIFCCgfCsgZCMSIECAAAEC6Qoo39LNzs4JECBAgAABArWA8s11QIAAAQIECBCIWED5FnE4tkaAAAECBAgQWEBA+bYAkkMIECBAgAABAn0JKN/6krcuAQIECBAgQKAZAeVbM47OQoAAAQIECBBoRUD51gqrkxIgQIAAAQIEOhNQvnVGbSECBAgQIECAwPICyrflzbyCAAECBAgQIBCTgPItpjTshQABAgQIECCwTUD5tg3EjwQIECBAgACBxASUb4kFZrsECBAgQIBAWQLKt7LyNi0BAgQIECCQn4DyLb9MTUSAAAECBAhkJKB8yyhMoxAgQIAAAQJFCijfiozd0AQIECBAgEAqAsq3VJKyTwIECBAgQIDAzgLKt51d/JYAAQIECBAgEIWA8i2KGGyCAAECBAgQILBnAeXbnum8kAABAgQIECDQvoDyrX1jKxAgQIAAAQIE2hRQvrWp69wECBAgQIAAgRUFlG8rAno5AQIECBAgQKBnAeVbzwFYngABAgQIECCwm4DybTcdfyNAgAABAgQIxC+gfIs/IzskQIAAAQIEChZQvhUcvtEJECBAgACBLASUb1nEaAgCBAgQIEAgVwHlW67JmosAAQIECBAoRUD5VkrS5iRAgAABAgSSFFC+JRmbTRMgQIAAAQIENgWUb5sUviFAgAABAgQIxCegfIsvEzsiQIAAAQIECCwjoHxbRsuxBAgQIECAAIGOBZRvHYNbjgABAgQIECDQsIDyrWFQpyNAgAABAgQINCmgfGtS07kIECBAgAABAt0LKN+6N7ciAQIECBAgQGBhAeXbwlQOJECAAAECBAhEKaB8izIWmyJAgAABAgQIzAWUb64EAgQIECBAgEDaAsq3tPOzewIECBAgQCBzAeVb5gEbjwABAgQIEMheQPmWfcQGJECAAAECBFIWUL6lnJ69EyBAgAABAgRCUL65CggQIECAAAECEQso3yIOx9YIECBAgAABAgsIKN8WQHIIAQIECBAgQKAvAeVbX/LWJUCAAAECBAg0I6B8a8bRWQgQIECAAAECrQgo31phdVICBAgQIECAQGcCyrfOqC1EgAABAgQIEFheQPm2vJlXECBAgAABAgRiElC+xZSGvRAgQIAAAQIEtgko37aB+JEAAQIECBAgkJiA8i2xwGyXAAECBAgQKEtA+VZW3qYlQIAAAQIE8hNQvuWXqYkIECBAgACBjASUbxmFaRQCBAgQIECgSAHlW5GxG5oAAQIECBBIRUD5lkpS9kmAAAECBAgQ2FlA+bazi98SIECAAAECBKIQUL5FEYNNECBAgAABAgT2LKB82zOdFxIgQIAAAQIE2hdQvrVvbAUCBAgQIECAQJsCyrc2dZ2bAAECBAgQILCigPJtRUAvJ0CAAAECBAj0LKB86zkAyxMgQIAAAQIEdhNQvu2m428ECBAgQIAAgfgFlG/xZ2SHBAgQIECAQMECyreCwzc6AQIECBAgkIWA8i2LGA1BgAABAgQI5CqgfMs1WXMRIECAAAECpQgo30pJ2pwECBAgQIBAkgLKtyRjs2kCBAgQIECAwKaA8m2TwjcECBAgQIAAgfgElG/xZWJHBAgQIECAAIFlBJRvy2g5lgABAgQIECDQsYDyrWNwyxEgQIAAAQIEGhZQvjUM6nQECBAgQIAAgSYFlG9NajoXAQIECBAgQKB7AeVb9+ZWJECAAAECBAgsLKB8W5jKgQQIECBAgACBKAWUb1HGYlMECBAgQIAAgbmA8s2VQIAAAQIECBBIW0D5lnZ+dk+AAAECBAhkLqB8yzxg4xEgQIAAAQLZCyjfso/YgAQIECBAgEDKAsq3lNOzdwIECBAgQIBACMo3VwEBAgQIECBAIGIB5VvE4dgaAQIECBAgQGABAeXbAkgOIUCAAAECBAj0JaB860veugQIECBAgACBZgSUb804OgsBAgQIECBAoBUB5VsrrE5KgAABAgQIEOhMQPnWGbWFCBAgQIAAAQLLCyjfljfzCgIECBAgQIBATALKt5jSsBcCBAgQIECAwDYB5ds2ED8SIECAAAECBBITUL4lFpjtEiBAgAABAmUJKN/Kytu0BAgQIECAQH4Cyrf8MjURAQIECBAgkJGA8i2jMI1CgAABAgQIFCmgfCsydkMTIECAAAECqQgo31JJyj4JECBAgAABAjsLKN92dvFbAgQIECBAgEAUAsq3KGKwCQIECBAgQIDAngWUb3um80ICBAgQIECAQPsCyrf2ja1AgAABAgQIEGhTQPnWpq5zEyBAgAABAgRWFFC+rQjo5QQIECBAgACBngWUbz0HYHkCBAgQIECAwG4CyrfddPyNAAECBAgQIBC/gPIt/ozskAABAgQIEChYQPlWcPhGJ0CAAAECBLIQUL5lEaMhCBAgQIAAgVwFlG+5JmsuAgQIECBAoBQB5VspSZuTAAECBAgQSFJA+ZZkbDZNgAABAgQIENgUUL5tUviGAAECBAgQIBCfgPItvkzsiAABAgQIECCwjIDybRktxxIgQIAAAQIEOhZQvnUMbjkCBAgQIECAQMMCyreGQZ2OAAECBAgQINCkgPKtSU3nIkCAAAECBAh0L6B8697cigQIECBAgACBhQWUbwtTOZAAAQIECBAgEKWA8i3KWGyKAAECBAgQIDAXUL65EggQIECAAAECaQso39LOz+4JECBAgACBzAWUb5kHbDwCBAgQIEAgewHlW/YRG5AAAQIECBBIWUD5lnJ69k6AAAECBAgQCEH55iogQIAAAQIECEQsoHyLOBxbI0CAAAECBAgsIKB8WwDJIQQIECBAgACBvgSUb33JW5cAAQIECBAg0IyA8q0ZR2chQIAAAQIECLQioHxrhdVJCRAgQIAAAQKdCSjfOqO2EAECBAgQIEBgeQHl2/JmXkGAAAECBAgQiElA+RZTGvZCgAABAgQIENgmoHzbBuJHAgQIECBAgEBiAsq3xAKzXQIECBAgQKAsAeVbWXmblgABAgQIEMhPQPmWX6YmIkCAAAECBDISUL5lFKZRCBAgQIAAgSIFlG9Fxm5oAgQIECBAIBUB5VsqSdknAQIECBAgQGBnAeXbzi5+S4AAAQIECBCIQkD5FkUMNkGAAAECBAgQ2LOA8m3PdF5IgAABAgQIEGhfQPnWvrEVCBAgQIAAAQJtCijf2tR1bgIECBAgQIDAigLKtxUBvZwAAQIECBAg0LOA8q3nACxPgAABAgQIENhNQPm2m46/ESBAgAABAgTiF1C+xZ+RHRIgQIAAAQIFCyjfCg7f6AQIECBAgEAWAsq3LGI0BAECBAgQIJCrgPIt12TNRYAAAQIECJQioHwrJWlzEiBAgAABAkkKKN+SjM2mCRAgQIAAAQKbAsq3TQrfECBAgAABAgTiE1C+xZeJHREgQIAAAQIElhFQvi2j5VgCBAgQIECAQMcCyreOwS1HgAABAgQIEGhYQPnWMKjTESBAgAABAgSaFFC+NanpXAQIECBAgACB7gWUb92bW5EAAQIECBAgsLCA8m1hKgcSIECAAAECBKIUUL5FGYtNESBAgAABAgTmAso3VwIBAgQIECBAIG0B5Vva+dk9AQIECBAgkLmA8i3zgI1HgAABAgQIZC+gfMs+YgMSIECAAAECKQso31JOz94JECBAgAABAiEo31wFBAgQIECAAIGIBZRvEYdjawQIECBAgACBBQSUbwsgOYQAAQIECBAg0JeA8q0veesSIECAAAECBJoRUL414+gsBAgQIECAAIFWBJRvrbA6KQECBAgQIECgMwHlW2fUFiJAgAABAgQILC+gfFvezCsIECBAgAABAjEJKN9iSsNeCBAgQIAAAQLbBJRv20D8SIAAAQIECBBITED5llhgtkuAAAECBAiUJaB8Kytv0xIgQIAAAQL5CSjf8svURAQIECBAgEBGAsq3jMI0CgECBAgQIFCkgPKtyNgNTYAAAQIECKQioHxLJSn7JECAAAECBAjsLKB829nFbwkQIECAAAECUQgo36KIwSYIECBAgAABAnsWUL7tmc4LCRAgQIAAAQLtCyjf2je2AgECBAgQIECgTQHlW5u6zk2AAAECBAgQWFFA+bYioJcTIECAAAECBHoWUL71HIDlCRAgQIAAAQK7CSjfdtPxNwIECBAgQIBA/ALKt/gzskMCBAgQIECgYAHlW8HhG50AAQIECBDIQkD5lkWMhiBAgAABAgRyFVC+5ZqsuQgQIECAAIFSBJRvpSRtTgIECBAgQCBJAeVbkrHZNAECBAgQIEBgU0D5tknhGwIECBAgQIBAfALKt/gysSMCBAgQIECAwDICyrdltBxLgAABAgQIEOhYQPnWMbjlCBAgQIAAAQINCyjfGgZ1OgIECBAgQIBAkwLKtyY1nYsAAQIECBAg0L2A8q17cysSIECAAAECBBYWUL4tTOVAAgQIECBAgECUAsq3KGOxKQIECBAgQIDAXED55kogQIAAAQIECKQtoHxLOz+7J0CAAAECBDIXUL5lHrDxCBAgQIAAgewFlG/ZR2xAAgQIECBAIGUB5VvK6dk7AQIECBAgQCAE5ZurgAABAgQIECAQsYDyLeJwbI0AAQIECBAgsICA8m0BJIcQIECAAAECBPoSUL71JW9dAgQIECBAgEAzAsq3ZhydhQABAgQIECDQioDyrRVWJyVAgAABAgQIdCagfOuM2kIECBAgQIAAgeUFlG/Lm3kFAQIECBAgQCAmAeVbTGnYCwECBAgQIEBgm4DybRuIHwkQIECAAAECiQko3xILzHYJECBAgACBsgSUb2XlbVoCBAgQIEAgPwHlW36ZmogAAQIECBDISED5llGYRiFAgAABAgSKFFC+FRm7oQkQIECAAIFUBJRvqSRlnwQIECBAgACBnQWUbzu7+C0BAgQIECBAIAoB5VsUMdgEAQIECBAgQGDPAsq3PdN5IQECBAgQIECgfQHlW/vGViBAgAABAgQItCmgfGtT17kJECBAgAABAisKKN9WBPRyAgQIECBAgEDPAsq3ngOwPAECBAgQIEBgNwHl2246/kaAAAECBAgQiF9A+RZ/RnZIgAABAgQIFCygfCs4fKMTIECAAAECWQgo37KI0RAECBAgQIBArgLKt1yTNRcBAgQIECBQioDyrZSkzUmAAAECBAgkKaB8SzI2myZAgAABAgQIbAoo3zYpfEOAAAECBAgQiE9A+RZfJnZEgAABAgQIEFhGQPm2jJZjCRAgQIAAAQIdCyjfOga3HAECBAgQIECgYQHlW8OgTkeAAAECBAgQaFJA+dakpnMRIECAAAECBLoXUL51b25FAgQIECBAgMDCAsq3hakcSIAAAQIECBCIUkD5FmUsNkWAAAECBAgQmAso31wJBAgQIECAAIG0BZRvaedn9wQIECBAgEDmAsq3zAM2HgECBAgQIJC9gPIt+4gNSIAAAQIECKQsoHxLOT17J0CAAAECBAiEoHxzFRAgQIAAAQIEIhZQvkUcjq0RIECAAAECBBYQUL4tgOQQAgQIECBAgEBfAsq3vuStS4AAAQIECBBoRkD51oyjsxAgQIAAAQIEWhFQvrXC6qQECBAgQIAAgc4ElG+dUVuIAAECBAgQILC8gPJteTOvIECAAAECBAjEJKB8iykNeyFAgAABAgQIbBNQvm0D8SMBAgQIECBAIDEB5VtigdkuAQIECBAgUJaA8q2svE1LgAABAgQI5CegfMsvUxMRIECAAAECGQko3zIK0ygECBAgQIBAkQLKtyJjNzQBAgQIECCQioDyLZWk7JMAAQIECBAgsLOA8m1nF78lQIAAAQIECEQhoHyLIgabIECAAAECBAjsWUD5tmc6LyRAgAABAgQItC+gfGvf2AoECBAgQIAAgTYFlG9t6jo3AQIECBAgQGBFAeXbioBeToAAAQIECBDoWUD51nMAlidAgAABAgQI7CagfNtNx98IECBAgAABAvELKN/iz8gOCRAgQIAAgYIFlG8Fh290AgQIECBAIAsB5VsWMRqCAAECBAgQyFVA+ZZrsuYiQIAAAQIEShFQvpWStDkJECBAgACBJAWUb0nGZtMECBAgQIAAgU0B5dsmhW8IECBAgAABAvEJKN/iy8SOCBAgQIAAAQLLCCjfltFyLAECBAgQIECgYwHlW8fgliNAgAABAgQINCygfGsY1OkIECBAgAABAk0KKN+a1HQuAgQIECBAgED3Asq37s2tSIAAAQIECBBYWED5tjCVAwkQIECAAAECUQoo36KMxaYIECBAgAABAnMB5ZsrgQABAgQIECCQtoDyLe387J4AAQIECBDIXED5lnnAxiNAgAABAgSyF1C+ZR+xAQkQIECAAIGUBZRvKadn7wQIECBAgACBEJRvrgICBAgQIECAQMQCyreIw7E1AgQIECBAgMACAsq3BZAcQoAAAQIECBDoS0D51pe8dQkQIECAAAECzQgo35pxdBYCBAgQIECAQCsCyrdWWJ2UAAECBAgQINCZgPKtM2oLESBAgAABAgSWF1C+LW/mFQQIECBAgACBmASUbzGlYS8ECBAgQIAAgW0CyrdtIH4kQIAAAQIECCQmoHxLLDDbJUCAAAECBMoSUL6VlbdpCRAgQIAAgfwElG/5ZWoiAgQIECBAICMB5VtGYRqFAAECBAgQKFJA+VZk7IYmQIAAAQIEUhFQvqWSlH0SIECAAAECBHYWUL7t7OK3BAgQIECAAIEoBJRvUcRgEwQIECBAgACBPQso3/ZM54UECBAgQIAAgfYFlG/tG1uBAAECBAgQINCmgPKtTV3nJkCAAAECBAisKKB8WxHQywkQIECAAAECPQso33oOwPIECBAgQIAAgd0ElG+76fgbAQIECBAgQCB+AeVb/BnZIQECBAgQIFCwgPKt4PCNToAAAQIECGQhoHzLIkZDECBAgAABArkKKN9yTdZcBAgQIECAQCkCyrdSkjYnAQIECBAgkKSA8i3J2GyaAAECBAgQILApoHzbpPANAQIECBAgQCA+AeVbfJnYEQECBAgQIEBgGQHl2zJajiVAgAABAgQIdCygfOsY3HIECBAgQIAAgYYFlG8NgzodAQIECBAgQKBJAeVbk5rORYAAAQIECBDoXkD51r25FQkQIECAAAECCwso3xamciABAgQIECBAIEoB5VuUsdgUAQIECBAgQGAuoHxzJRAgQIAAAQIE0hZQvqWdn90TIECAAAECmQso3zIP2HgECBAgQIBA9gLKt+wjNiABAgQIECCQsoDyLeX07J0AAQIECBAgEILyzVVAgAABAgQIEIhYQPkWcTi2RoAAAQIECBBYQED5tgCSQwgQIECAAAECfQko3/qSty4BAgQIECBAoBkB5Vszjs5CgAABAgQIEGhFQPnWCquTEiBAgAABAgQ6E1C+dUZtIQIECBAgQIDA8gLKt+XNvIIAAQIECBAgEJOA8i2mNOyFAAECBAgQILBNQPm2DcSPBAgQIECAAIHEBJRviQVmuwQIECBAgEBZAsq3svI2LQECBAgQIJCfgPItv0xNRIAAAQIECGQkoHzLKEyjECBAgAABAkUKKN+KjN3QBAgQIECAQCoCyrdUkrJPAgQIECBAgMDOAsq3nV38lgABAgQIECAQhYDyLYoYbIIAAQIECBAgsGcB5due6byQAAECBAgQINC+gPKtfWMrECBAgAABAgTaFFC+tanr3AQIECBAgACBFQWUbysCejkBAgQIECBAoGcB5VvPAVieAAECBAgQILCbgPJtNx1/I0CAAAECBAjEL6B8iz8jOyRAgAABAgQKFlC+FRy+0QkQIECAAIEsBJRvWcRoCAIECBAgQCBXAeVbrsmaiwABAgQIEChFQPlWStLmJECAAAECBJIUUL4lGZtNEyBAgAABAgQ2BZRvmxS+IUCAAAECBAjEJ6B8iy8TOyJAgAABAgQILCOgfFtGy7EECBAgQIAAgY4FlG8dg1uOAAECBAgQINCwgPKtYVCnI0CAAAECBAg0KaB8a1LTuQgQIECAAAEC3Qso37o3tyIBAgQIECBAYGEB5dvCVA4kQIAAAQIECEQpoHyLMhabIkCAAAECBAjMBZRvrgQCBAgQIECAQNoCyre087N7AgQIECBAIHMB5VvmARuPAAECBAgQyF5A+ZZ9xAYkQIAAAQIEUhZQvqWcnr0TIECAAAECBEJQvrkKCBAgQIAAAQIRCyjfIg7H1ggQIECAAAECCwgo3xZAcggBAgQIECBAoC8B5Vtf8tYlQIAAAQIECDQjoHxrxtFZCBAgQIAAAQKtCCjfWmF1UgIECBAgQIBAZwLKt86oLUSAAAECBAgQWF5A+ba8mVcQIECAAAECBGISUL7FlIa9ECBAgAABAgS2CSjftoH4kQABAgQIECCQmIDyLbHAbJcAAQIECBAoS0D5VlbepiVAgAABAgTyE1C+5ZepiQgQIECAAIGMBJRvGYVpFAIECBAgQKBIAeVbkbEbmgABAgQIEEhFQPmWSlL2SYAAAQIECBDYWUD5trOL3xIgQIAAAQIEohBQvkURg00QIECAAAECBPYsoHzbM50XEiBAgAABAgTaF1C+tW9sBQIECBAgQIBAmwLKtzZ1nZsAAQIECBAgsKKA8m1FQC8nQIAAAQIECPQsoHzrOQDLEyBAgAABAgR2E1C+7abjbwQIECBAgACB+AWUb/FnZIcECBAgQIBAwQLKt4LDNzoBAgQIECCQhYDyLYsYDUGAAAECBAjkKqB8yzVZcxEgQIAAAQKlCCjfSknanAQIECBAgECSAsq3JGOzaQIECBAgQIDApoDybZPCNwQIECBAgACB+ASUb/FlYkcECBAgQIAAgWUElG/LaDmWAAECBAgQINCxgPKtY3DLESBAgAABAgQaFlC+NQzqdAQIECBAgACBJgWUb01qOhcBAgQIECBAoHsB5Vv35lYkQIAAAQIECCwsoHxbmMqBBAgQIECAAIEoBZRvUcZiUwQIECBAgACBuYDyzZVAgAABAgQIEEhbQPmWdn52T4AAAQIECGQuoHzLPGDjESBAgAABAtkLKN+yj9iABAgQIECAQMoCyreU07N3AgQIECBAgEAIyjdXAQECBAgQIEAgYgHlW8Th2BoBAgQIECBAYAEB5dsCSA4hQIAAAQIECPQloHzrS966BAgQIECAAIFmBJRvzTg6CwECBAgQIECgFQHlWyusTkqAAAECBAgQ6ExA+dYZtYUIECBAgAABAssLKN+WN/MKAgQIECBAgEBMAsq3mNKwFwIECBAgQIDANgHl2zYQPxIgQIAAAQIEEhNQviUWmO0SIECAAAECZQko38rK27QECBAgQIBAfgLKt/wyNREBAgQIECCQkYDyLaMwjUKAAAECBAgUKaB8KzJ2QxMgQIAAAQKpCCjfUknKPgkQIECAAAECOwso33Z28VsCBAgQIECAQBQCyrcoYrAJAgQIECBAgMCeBZRve6bzQgIECBAgQIBA+wLKt/aNrUCAAAECBAgQaFNA+damrnMTIECAAAECBFYUUL6tCOjlBAgQIECAAIGeBZRvPQdgeQIECBAgQIDAbgLKt910/I0AAQIECBAgEL+A8i3+jOyQAAECBAgQKFhA+VZw+EYnQD3bZ6kAABvhSURBVIAAAQIEshBQvmURoyEIECBAgACBXAWUb7kmay4CBAgQIECgFAHlWylJm5MAAQIECBBIUkD5lmRsNk2AAAECBAgQ2BRQvm1S+IYAAQIECBAgEJ+A8i2+TOyIAAECBAgQILCMgPJtGS3HEiBAgAABAgQ6FlC+dQxuOQIECBAgQIBAwwLKt4ZBnY4AAQIECBAg0KSA8q1JTeciQIAAAQIECHQvoHzr3tyKBAgQIECAAIGFBZRvC1M5kAABAgQIECAQpYDyLcpYbIoAAQIECBAgMBdQvrkSCBAgQIAAAQJpCyjf0s7P7gkQIECAAIHMBZRvmQdsPAIECBAgQCB7AeVb9hEbkAABAgQIEEhZQPmWcnr2ToAAAQIECBAIQfnmKiBAgAABAgQIRCygfIs4HFsjQIAAAQIECCwgoHxbAMkhBAgQIECAAIG+BJRvfclblwABAgQIECDQjIDyrRlHZyFAgAABAgQItCKgfGuF1UkJECBAgAABAp0JKN86o7YQAQIECBAgQGB5AeXb8mZeQYAAAQIECBCISUD5FlMa9kKAAAECBAgQ2CagfNsG4kcCBAgQIECAQGICyrfEArNdAgQIECBAoCwB5VtZeZuWAAECBAgQyE9A+ZZfpiYiQIAAAQIEMhJQvmUUplEIECBAgACBIgWUb0XGbmgCBAgQIEAgFQHlWypJ2ScBAgQIECBAYGcB5dvOLn5LgAABAgQIEIhCQPkWRQw2QYAAAQIECBDYs4Dybc90XkiAAAECBAgQaF9A+da+sRUIECBAgAABAm0KKN/a1HVuAgQIECBAgMCKAsq3FQG9nAABAgQIECDQs4DyrecALE+AAAECBAgQ2E1A+babjr8RIECAAAECBOIXUL7Fn5EdEiBAgAABAgULKN8KDt/oBAgQIECAQBYCyrcsYjQEAQIECBAgkKuA8i3XZM1FgAABAgQIlCKgfCslaXMSIECAAAECSQoo35KMzaYJECBAgAABApsCyrdNCt8QIECAAAECBOITUL7Fl4kdESBAgAABAgSWEVC+LaPlWAIECBAgQIBAxwLKt47BLUeAAAECBAgQaFhA+dYwqNMRIECAAAECBJoUUL41qelcBAgQIECAAIHuBZRv3ZtbkQABAgQIECCwsIDybWEqBxIgQIAAAQIEohRQvkUZi00RIECAAAECBOYCyjdXAgECBAgQIEAgbQHlW9r52T0BAgQIECCQuYDyLfOAjUeAAAECBAhkL6B8yz5iAxIgQIAAAQIpCyjfUk7P3gkQIECAAAECISjfXAUECBAgQIAAgYgFlG8Rh2NrBAgQIECAAIEFBJRvCyA5hAABAgQIECDQl4DyrS956xIgQIAAAQIEmhFQvjXj6CwECBAgQIAAgVYElG+tsDopAQIECBAgQKAzAeVbZ9QWIkCAAAECBAgsL6B8W97MKwgQIECAAAECMQko32JKw14IECBAgAABAtsElG/bQPxIgAABAgQIEEhMQPmWWGC2S4AAAQIECJQloHwrK2/TEiBAgAABAvkJKN/yy9REBAgQIECAQEYCyreMwjQKAQIECBAgUKSA8q3I2A1NgAABAgQIpCKgfEslKfskQIAAAQIECOwsoHzb2cVvCRAgQIAAAQJRCCjfoojBJggQIECAAAECexZQvu2ZzgsJECBAgAABAu0LKN/aN7YCAQIECBAgQKBNAeVbm7rOTYAAAQIECBBYUUD5tiKglxMgQIAAAQIEehZQvvUcgOUJECBAgAABArsJKN920/E3AgQIECBAgED8Asq3+DOyQwIECBAgQKBgAeVbweEbnQABAgQIEMhCQPmWRYyGIECAAAECBHIVUL7lmqy5CBAgQIAAgVIElG+lJG1OAgQIECBAIEkB5VuSsdk0AQIECBAgQGBTQPm2SeEbAgQIECBAgEB8Asq3+DKxIwIECBAgQIDAMgLKt2W0HEuAAAECBAgQ6FhA+dYxuOUIECBAgAABAg0LKN8aBnU6AgQIECBAgECTAsq3JjWdiwABAgQIECDQvYDyrXtzKxIgQIAAAQIEFhZQvi1M5UACBAgQIECAQJQCyrcoY7EpAgQIECBAgMBcQPnmSiBAgAABAgQIpC2gfEs7P7snQIAAAQIEMhdQvmUesPEIECBAgACB7AWUb9lHbEACBAgQIEAgZQHlW8rp2TsBAgQIECBAIATlm6uAAAECBAgQIBCxgPIt4nBsjQABAgQIECCwgIDybQEkhxAgQIAAAQIE+hJQvvUlb10CBAgQIECAQDMCyrdmHJ2FAAECBAgQINCKgPKtFVYnJUCAAAECBAh0JqB864zaQgQIECBAgACB5QWUb8ubeQUBAgQIECBAICYB5VtMadgLAQIECBAgQGCbgPJtG4gfCRAgQIAAAQKJCSjfEgvMdgkQIECAAIGyBJRvZeVtWgIECBAgQCA/AeVbfpmaiAABAgQIEMhIQPmWUZhGIUCAAAECBIoUUL4VGbuhCRAgQIAAgVQElG+pJGWfBAgQIECAAIGdBZRvO7v4LQECBAgQIEAgCgHlWxQx2AQBAgQIECBAYM8Cyrc903khAQIECBAgQKB9AeVb+8ZWIECAAAECBAi0KaB8a1PXuQkQIECAAAECKwoo31YE9HICBAgQIECAQM8CyreeA7A8AQIECBAgQGA3AeXbbjr+RoAAAQIECBCIX0D5Fn9GdkiAAAECBAgULKB8Kzh8oxMgQIAAAQJZCCjfsojREAQIECBAgECuAsq3XJM1FwECBAgQIFCKgPKtlKTNSYAAAQIECCQpoHxLMjabJkCAAAECBAhsCijfNil8Q4AAAQIECBCIT0D5Fl8mdkSAAAECBAgQWEZA+baMlmMJECBAgAABAh0LKN86BrccAQIECBAgQKBhAeVbw6BOR4AAAQIECBBoUkD51qSmcxEgQIAAAQIEuhdQvnVvbkUCBAgQIECAwMICyreFqRxIgAABAgQIEIhSQPkWZSw2RYAAAQIECBCYCyjfXAkECBAgQIAAgbQFlG9p52f3BAgQIECAQOYCyrfMAzYeAQIECBAgkL2A8i37iA1IgAABAgQIpCygfEs5PXsnQIAAAQIECISgfHMVECBAgAABAgQiFlC+RRyOrREgQIAAAQIEFhBQvi2A5BACBAgQIECAQF8Cyre+5K1LgAABAgQIEGhGQPnWjKOzECBAgAABAgRaEVC+tcLqpAQIECBAgACBzgSUb51RW4gAAQIECBAgsLyA8m15M68gQIAAAQIECMQkoHyLKQ17IUCAAAECBAhsE1C+bQPxIwECBAgQIEAgMQHlW2KB2S4BAgQIECBQloDyray8TUuAAAECBAjkJ6B8yy9TExEgQIAAAQIZCSjfMgrTKAQIECBAgECRAsq3ImM3NAECBAgQIJCKgPItlaTskwABAgQIECCws4DybWcXvyVAgAABAgQIRCGgfIsiBpsgQIAAAQIECOxZQPm2ZzovJECAAAECBAi0L6B8a9/YCgQIECBAgACBNgWUb23qOjcBAgQIECBAYEUB5duKgF5OgAABAgQIEOhZQPnWcwCWJ0CAAAECBAjsJqB8203H3wgQIECAAAEC8Qso3+LPyA4JECBAgACBggWUbwWHb3QCBAgQIEAgCwHlWxYxGoIAAQIECBDIVUD5lmuy5iJAgAABAgRKEVC+lZK0OQkQIECAAIEkBZRvScZm0wQIECBAgACBTQHl2yaFbwgQIECAAAEC8Qko3+LLxI4IECBAgAABAssIKN+W0XIsAQIECBAgQKBjAeVbx+CWI0CAAAECBAg0LKB8axjU6QgQIECAAAECTQoo35rUdC4CBAgQIECAQPcCyrfuza1IgAABAgQIEFhYQPm2MJUDCRAgQIAAAQJRCijfoozFpggQIECAAAECcwHlmyuBAAECBAgQIJC2gPIt7fzsngABAgQIEMhcQPmWecDGI0CAAAECBLIXUL5lH7EBCRAgQIAAgZQFlG8pp2fvBAgQIECAAIEQlG+uAgIECBAgQIBAxALKt4jDsTUCBAgQIECAwAICyrcFkBxCgAABAgQIEOhLQPnWl7x1CRAgQIAAAQLNCCjfmnF0FgIECBAgQIBAKwLKt1ZYnZQAAQIECBAg0JmA8q0zagsRIECAAAECBJYXUL4tb+YVBAgQIECAAIGYBJRvMaVhLwQIECBAgACBbQLKt20gfiRAgAABAgQIJCagfEssMNslQIAAAQIEyhJQvpWVt2kJECBAgACB/ASUb/llaiICBAgQIEAgIwHlW0ZhGoUAAQIECBAoUkD5VmTshiZAgAABAgRSEVC+pZKUfRIgQIAAAQIEdhZQvu3s4rcECBAgQIAAgSgElG9RxGATBAgQIECAAIE9Cyjf9kznhQQIECBAgACB9gWUb+0bW4EAAQIECBAg0KaA8q1NXecmQIAAAQIECKwooHxbEdDLCRAgQIAAAQI9Cyjfeg7A8gQIECBAgACB3QSUb7vp+BsBAgQIECBAIH4B5Vv8GdkhAQIECBAgULCA8q3g8I1OgAABAgQIZCGgfMsiRkMQIECAAAECuQoo33JN1lwECBAgQIBAKQLKt1KSNicBAgQIECCQpIDyLcnYbJoAAQIECBAgsCmgfNuk8A0BAgQIECBAID4B5Vt8mdgRAQIECBAgQGAZAeXbMlqOJUCAAAECBAh0LKB86xjccgQIECBAgACBhgWUbw2DOh0BAgQIECBAoEkB5VuTms5FgAABAgQIEOheQPnWvbkVCRAgQIAAAQILCyjfFqZyIAECBAgQIEAgSgHlW5Sx2BQBAgQIECBAYC6gfHMlECBAgAABAgTSFlC+pZ2f3RMgQIAAAQKZCyjfMg/YeAQIECBAgED2Asq37CM2IAECBAgQIJCygPIt5fTsnQABAgQIECAQgvLNVUCAAAECBAgQiFhA+RZxOLZGgAABAgQIEFhAQPm2AJJDCBAgQIAAAQJ9CSjf+pK3LgECBAgQIECgGQHlWzOOzkKAAAECBAgQaEVA+dYKq5MSIECAAAECBDoTUL51Rm0hAgQIECBAgMDyAsq35c28ggABAgQIECAQk4DyLaY07IUAAQIECBAgsE1A+bYNxI8ECBAgQIAAgcQElG+JBWa7BAgQIECAQFkCyrey8jYtAQIECBAgkJ+A8i2/TE1EgAABAgQIZCSgfMsoTKMQIECAAAECRQoo34qM3dAECBAgQIBAKgLKt1SSsk8CBAgQIECAwM4CyredXfyWAAECBAgQIBCFgPItihhsggABAgQIECCwZwHl257pvJAAAQIECBAg0L6A8q19YysQIECAAAECBNoUUL61qevcBAgQIECAAIEVBZRvKwJ6OQECBAgQIECgZwHlW88BWJ4AAQIECBAgsJuA8m03HX8jQIAAAQIECMQvoHyLPyM7JECAAAECBAoWUL4VHL7RCRAgQIAAgSwElG9ZxGgIAgQIECBAIFcB5VuuyZqLAAECBAgQKEVA+VZK0uYkQIAAAQIEkhRQviUZm00TIECAAAECBDYFlG+bFL4hQIAAAQIECMQnoHyLLxM7IkCAAAECBAgsI6B8W0bLsQQIECBAgACBjgWUbx2DW44AAQIECBAg0LCA8q1hUKcjQIAAAQIECDQpoHxrUtO5CBAgQIAAAQLdCyjfuje3IgECBAgQIEBgYQHl28JUDiRAgAABAgQIRCmgfIsyFpsiQIAAAQIECMwFlG+uBAIECBAgQIBA2gLKt7Tzs3sCBAgQIEAgcwHlW+YBG48AAQIECBDIXkD5ln3EBiRAgAABAgRSFlC+pZyevRMgQIAAAQIEQlC+uQoIECBAgAABAhELKN8iDsfWCBAgQIAAAQILCCjfFkByCAECBAgQIECgLwHlW1/y1iVAgAABAgQINCOgfGvG0VkIECBAgAABAq0IKN9aYXVSAgQIECBAgEBnAsq3zqgtRIAAAQIECBBYXkD5tryZVxAgQIAAAQIEYhJQvsWUhr0QIECAAAECBLYJKN+2gfiRAAECBAgQIJCYgPItscBslwABAgQIEChLQPlWVt6mJUCAAAECBPITUL7ll6mJCBAgQIAAgYwElG8ZhWkUAgQIECBAoEgB5VuRsRuaAAECBAgQSEVA+ZZKUvZJgAABAgQIENhZQPm2s4vfEiBAgAABAgSiEFC+RRGDTRAgQIAAAQIE9iygfNsznRcSIECAAAECBNoXUL61b2wFAgQIECBAgECbAsq3NnWdmwABAgQIECCwooDybUVALydAgAABAgQI9CygfOs5AMsTIECAAAECBHYTUL7tpuNvBAgQIECAAIH4BZRv8WdkhwQIECBAgEDBAsq3gsM3OgECBAgQIJCFgPItixgNQYAAAQIECOQqoHzLNVlzESBAgAABAqUIKN9KSdqcBAgQIECAQJICyrckY7NpAgQIECBAgMCmgPJtk8I3BAgQIECAAIH4BJRv8WViRwQIECBAgACBZQSUb8toOZYAAQIECBAg0LGA8q1jcMsRIECAAAECBBoWUL41DOp0BAgQIECAAIEmBZRvTWo6FwECBAgQIECgewHlW/fmViRAgAABAgQILCygfFuYyoEECBAgQIAAgSgFlG9RxmJTBAgQIECAAIG5gPLNlUCAAAECBAgQSFtA+ZZ2fnZPgAABAgQIZC6gfMs8YOMRIECAAAEC2Qso37KP2IAECBAgQIBAygLKt5TTs3cCBAgQIECAQAjKN1cBAQIECBAgQCBiAeVbxOHYGgECBAgQIEBgAQHl2wJIDiFAgAABAgQI9CWgfOtL3roECBAgQIAAgWYElG/NODoLAQIECBAgQKAVAeVbK6xOSoAAAQIECBDoTED51hm1hQgQIECAAAECywso35Y38woCBAgQIECAQEwCyreY0rAXAgQIECBAgMA2AeXbNhA/EiBAgAABAgQSE1C+JRaY7RIgQIAAAQJlCSjfysrbtAQIECBAgEB+Asq3/DI1EQECBAgQIJCRgPItozCNQoAAAQIECBQpoHwrMnZDEyBAgAABAqkIKN9SSco+CRAgQIAAAQI7CyjfdnbxWwIECBAgQIBAFALKtyhisAkCBAgQIECAwJ4FlG97pvNCAgQIECBAgED7Asq39o2tQIAAAQIECBBoU0D51qaucxMgQIAAAQIEVhRQvq0I6OUECBAgQIAAgZ4FlG89B2B5AgQIECBAgMBuAsq33XT8jQABAgQIECAQv4DyLf6M7JAAAQIECBAoWED5VnD4RidAgAABAgSyEFC+ZRGjIQgQIECAAIFcBZRvuSZrLgIECBAgQKAUAeVbKUmbkwABAgQIEEhSQPmWZGw2TYAAAQIECBDYFFC+bVL4hgABAgQIECAQn4DyLb5M7IgAAQIECBAgsIyA8m0ZLccSIECAAAECBDoWUL51DG45AgQIECBAgEDDAsq3hkGdjgABAgQIECDQpIDyrUlN5yJAgAABAgQIdC+gfOve3IoECBAgQIAAgYUFlG8LUzmQAAECBAgQIBClgPItylhsigABAgQIECAwF1C+uRIIECBAgAABAmkLKN/Szs/uCRAgQIAAgcwFlG+ZB2w8AgQIECBAIHsB5Vv2ERuQAAECBAgQSFlA+ZZyevZOgAABAgQIEAhB+eYqIECAAAECBAhELKB8izgcWyNAgAABAgQILCCgfFsAySEECBAgQIAAgb4ElG99yVuXAAECBAgQINCMgPKtGUdnIUCAAAECBAi0IqB8a4XVSQkQIECAAAECnQko3zqjthABAgQIECBAYHkB5dvyZl5BgAABAgQIEIhJQPkWUxr2QoAAAQIECBDYJqB82wbiRwIECBAgQIBAYgLKt8QCs10CBAgQIECgLAHlW1l5m5YAAQIECBDIT0D5ll+mJiJAgAABAgQyElC+ZRSmUQgQIECAAIEiBZRvRcZuaAIECBAgQCAVAeVbKknZJwECBAgQIEBgZwHl284ufkuAAAECBAgQiEJA+RZFDDZBgAABAgQIENizgPJtz3ReSIAAAQIECBBoX0D51r6xFQgQIECAAAECbQoo39rUdW4CBAgQIECAwIoCyrcVAb2cAAECBAgQINCzgPKt5wAsT4AAAQIECBDYTUD5tpuOvxEgQIAAAQIE4hdQvsWfkR0SIECAAAECBQso3woO3+gECBAgQIBAFgLKtyxiNAQBAgQIECCQq4DyLddkzUWAAAECBAiUIqB8KyVpcxIgQIAAAQJJCijfkozNpgkQIECAAAECmwLKt00K3xAgQIAAAQIE4hNQvsWXiR0RIECAAAECBJYRUL4to+VYAgQIECBAgEDHAsq3jsEtR4AAAQIECBBoWED51jCo0xEgQIAAAQIEmhRQvjWp6VwECBAgQIAAge4FlG/dm1uRAAECBAgQILCwgPJtYSoHEiBAgAABAgSiFFC+RRmLTREgQIAAAQIE5gLKN1cCAQIECBAgQCBtAeVb2vnZPQECBAgQIJC5gPIt84CNR4AAAQIECGQvoHzLPmIDEiBAgAABAikLKN9STs/eCRAgQIAAAQIhKN9cBQQIECBAgACBiAWUbxGHY2sECBAgQIAAgQUElG8LIDmEAAECBAgQINCXgPKtL3nrEiBAgAABAgSaEVC+NePoLAQIECBAgACBVgSUb62wOikBAgQIECBAoDMB5Vtn1BYiQIAAAQIECCwvoHxb3swrCBAgQIAAAQIxCSjfYkrDXggQIECAAAEC2wSUb9tA/EiAAAECBAgQSExA+ZZYYLZLgAABAgQIlCWgfCsrb9MSIECAAAEC+Qko3/LL1EQECBAgQIBARgLKt4zCNAoBAgQIECBQpIDyrcjYDU2AAAECBAikIqB8SyUp+yRAgAABAgQI7CygfNvZxW8JECBAgAABAlEIKN+iiMEmCBAgQIAAAQJ7FlC+7ZnOCwkQIECAAAEC7Qso39o3tgIBAgQIECBAoE0B5Vubus5NgAABAgQIEFhRQPm2IqCXEyBAgAABAgR6FlC+9RyA5QkQIECAAAECuwko33bT8TcCBAgQIECAQPwCyrf4M7JDAgQIECBAoGAB5VvB4RudAAECBAgQyEJA+ZZFjIYgQIAAAQIEchVQvuWarLkIECBAgACBUgSUb6UkbU4CBAgQIEAgSQHlW5Kx2TQBAgQIECBAYFNA+bZJ4RsCBAgQIECAQHwCyrf4MrEjAgQIECBAgMAyAsq3ZbQcS4AAAQIECBDoWED51jG45QgQIECAAAECDQso3xoGdToCBAgQIECAQJMCyrcmNZ2LAAECBAgQINC9gPKte3MrEiBAgAABAgQWFlC+LUzlQAIECBAgQIBAlALKtyhjsSkCBAgQIECAwFxA+eZKIECAAAECBAikLaB8Szs/uydAgAABAgQyF1C+ZR6w8QgQIECAAIHsBZRv2UdsQAIECBAgQCBlAeVbyunZOwECBAgQIEAgBOWbq4AAAQIECBAgELGA8i3icGyNAAECBAgQILCAgPJtASSHECBAgAABAgT6ElC+9SVvXQIECBAgQIBAMwLKt2YcnYUAAQIECBAg0IqA8q0VViclQIAAAQIECHQm8P8Bj53MIqvsiBMAAAAASUVORK5CYII=" } }, "cell_type": "markdown", "id": "dfe4841b-86d1-44c4-8d71-124fddb329c2", "metadata": {}, "source": [ "
\n", "\n", "
" ] }, { "cell_type": "markdown", "id": "494ac87b-fa91-417b-ac7d-9d8781d6742a", "metadata": {}, "source": [ "Denkbar wäre auch eine Spiegelung mit einer Drehung. Tatsächlich sind damit schon alle möglichen Isometrien gefunden.
\n", "Lineare Isometrien im $\\mathbb{R}^3$ können geometrisch also entweder einer Drehung an einer Achse oder einer Drehung an einer Achse gefolgt von einer Spiegelung an einer Ebene entsprechen. " ] }, { "cell_type": "markdown", "id": "35cd1a58-1002-440e-ada8-69ebf092ff4f", "metadata": {}, "source": [ "***" ] }, { "cell_type": "markdown", "id": "461077e5-c0c6-44cd-8523-eda3e3e0f967", "metadata": {}, "source": [ "### Klassifizerung der Isometrien des $\\mathbb{R}^3$" ] }, { "cell_type": "markdown", "id": "e42eb6f7-90f8-4187-8ec5-fb3b71f2a5ab", "metadata": {}, "source": [ "Wir wollen uns nun dem Höhepunkt dieses Notebooks widmen. Der Klassifizerung der Isometrien des $\\mathbb{R}^3$ und folgenden Satz beweisen:
" ] }, { "cell_type": "markdown", "id": "a086c457-4732-401a-ac03-c00618e0dad5", "metadata": {}, "source": [ "
\n", " Klassifikation der Isometrien des $\\mathbb{R}^3$
\n", "Jede Isometrie $f$ des $\\mathbb{R}^3$ lässt sich als Hintereinanderausführung einer orthogonalen Isometrie $s$ und Translation $t$ schreiben:\n", " $$\n", " f = t \\circ s.\n", " $$\n", "
" ] }, { "cell_type": "markdown", "id": "befd731a-9d71-4e27-b6a7-bc625d8f5792", "metadata": {}, "source": [ "Dafür betrachten wir eine beliebige Isometrie $f$ des $\\mathbb{R}^3.$ Sei nun $a := f(0)$ und sei $t_a$ die Translation mit $t_a(x) = x+a.$ Also insbesondere $t_a (0) = a = f(0).$
\n", "Da Isometrien eine Gruppe bilden und $t_a$ somit ein Inverses besitzt, folgt also ferner aus $f(0) = t_a(0),$ dass $0 = t_a^{-1}(f(0)) = (t_a^{-1} \\circ f)(0).$ Wir wissen nun, dass es sich bei $s:= t^{-1} \\circ f$ um eine Isometrie handelt, da die Konkatenation zweier Isometrien wieder eine Isometrie ist und ferner noch, da $(t_a^{-1} \\circ f)(0) = 0,$ dass es sich um eine lineare Isometrie handelt, bzw. um eine orthogonale Abbildung im oben definierten Sinne.
\n", "Nun ist $f$ sicherlich $f= t_a \\circ s = t_a \\circ t_a^{-1} \\circ f.$ Da nun $t_a$ eine Translation ist, haben wir somit gezeigt, dass $f$ die Hintereinanderausführung einer orthogonalen Isometrie und einer Translation ist." ] }, { "cell_type": "markdown", "id": "f36563ec-5fb1-44f4-baad-bd977f5621eb", "metadata": {}, "source": [ "Zuletzt wollen wir uns noch die geometrische Veranschaulichung dieses Satzes anschauen. In folgender Illustration sind die $0$ und drei Punkte $A,B,C,$ bzw. deren Bilder unter der Isometrie, bzw. Spiegelung, eingezeichnet. Zur Anschaulichkeit wird eine Fläche betrachtet, wobei die Rotation dieser Fläche (unter $s$) in Gelb eingezeichnet und die Fläche nach der Translation ($t$) in Grün eingezeichnet ist." ] }, { "attachments": { "a3b230c4-08d3-4664-a341-80c41e7c5ec1.jpeg": { "image/jpeg": 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} }, "cell_type": "markdown", "id": "f9f4ad66-f1ce-4d71-90c6-0009ebe335c4", "metadata": {}, "source": [ "![signal-2023-06-24-104219_002.jpeg](attachment:a3b230c4-08d3-4664-a341-80c41e7c5ec1.jpeg)" ] }, { "cell_type": "markdown", "id": "749358e7-dfe7-4c40-b241-556162064377", "metadata": {}, "source": [ "***" ] }, { "cell_type": "markdown", "id": "a26e67cf-ac2a-4f51-9d35-d0f4f8fe062a", "metadata": {}, "source": [ "
\n", "\n", "### Rückblick-Aufgabe\n", "***\n", "In diesem Notebook haben wir versucht für die Isometrien des $\\mathbb{R}^3$ eine Klassifikation zu finden. Sicherlich ist die Lösung des Problems für den $\\mathbb{R}^2$ deutlich einfacher, oder? Überlegen Sie sich, wie die Isometrien des $\\mathbb{R}^2$ aussehen könnten? Was sind Arten von Isometrien, die wir in diesem Notebook kennengelernt haben, die sich auch auf $\\mathbb{R}^2$ übertragen lassen?\n", "
" ] }, { "cell_type": "markdown", "id": "08a0afc8-b461-4d50-84b5-67fe469edce8", "metadata": { "tags": [] }, "source": [ "### Literaturhinweise\n", "- Metrischer Raum. (2023). In Wikipedia, The free encyclopedia. https://de.wikipedia.org/wiki/Metrischer_Raum\n", "- Isometries of $\\mathbb{A} \\mathbb{R}^n$ (2010). In: Mirrors and Reflections. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-0-387-79066-4_2\n", "- Fischer, Gerd und Boris Springborn: Lineare Algebra. Eine Einführung für\n", "Studienanfänger. Grundkurs Math. Springer Spektrum, Berlin, 19., überarbeitete\n", "und ergänzte Auflage, 2020.\n", "- Greub, W. H.: Linear algebra, Band 97 der Reihe Grundlehren Math. Wiss.\n", "Springer, Berlin, dritte Auflage, 1967." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 5 }