{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "04281454-dcc4-4a8e-9d61-d843761a80a1",
   "metadata": {},
   "source": [
    "# Lineare Optimierungsprobleme und der Simplex-Algorithmus"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8296aacd-b579-4d34-aa8f-47d33a6d62d6",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "10aa1a0a-cc2f-42d1-8e7c-922e1cf3ceba",
   "metadata": {},
   "source": [
    "<span style='color:Gray'> (<b>Notiz:</b> weitere Idee für Aufgabe: 4 Lineare Programme und 4 verschiedenen Koordinatensystemen einander zuordnen und ggf. Lösung berechnen)  </span>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5e40f13c-9da1-4246-ba0c-fb0211038f52",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-danger\">\n",
    "<b>Ziel des Notebooks:</b>\n",
    "\n",
    "- Grundlegende Konzepte von linearen Programmen verstehen\n",
    "    - Modellierung von Alltagsproblemen durch lineare Programme\n",
    "    - kanonische Form, Standardform\n",
    "    - Lösbarkeit\n",
    "    - Menge der zulässigen Lösung als konvexer Polyeder\n",
    "    \n",
    "- Graphische Vorstellung des Simplex-Algorithmus verstehen und anwenden können\n",
    "\n",
    "<br>\n",
    "    \n",
    "<b>Mathematische Tools:<b>\n",
    "- Aufstellen und Interpretation von (Un-)Gleichungssystemen und linearen Programmen\n",
    "- konvexe Polyeder im $\\mathbb{R}^n$, konvexe Hülle, Konvexkombination\n",
    "- lineare Optimierung mit primalem Simplex-Algorithmus\n",
    "    \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "72985772-c1fc-4d71-9312-be3a53c2b2fd",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "53186d4c-3fea-4af3-8cb5-a74c9ddae0ce",
   "metadata": {},
   "source": [
    "### Lineare Programme: Beispiel und Definition"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "87f80f99-aa8a-48ed-aab3-e8db8149ad86",
   "metadata": {},
   "source": [
    "Eine Fabrik stellt Dünger für verschiedene Pflanzen her. Für $100$ ml Dünger für Kakteen benötigt man $2$ mg Stickstoff, $3$ mg Phosphor und $1$ mg Kalium. Der Orchideen Dünger benötigt pro $100$ g genau $7$ mg Stickstoff, $2$ mg Phosphor und $10$ mg Kalium. Der Kakteendünger wird für $2,50$ € pro $100$ ml verkauft, der Orchideendünger ist mit $4$ € pro $100$ ml etwas teurer.\n",
    "Wegen Lieferschwierigkeiten stehen der Fabrik aktuell nur $500$ mg Stickstoff, $500$ mg Phosphor und $600$ mg Kalium zur Verfügung. Die Fabrik will die vorhandenen Stoffe so verarbeiten, dass maximaler Profit gewährleistet ist. Wieviel ml Kakteen- und Orchideendünger sollte dafür hergestellt werden?"
   ]
  },
  {
   "attachments": {
    "295989f9-65e3-410f-bc3a-d377c12961fc.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "id": "7b5a56eb-c4c1-4c09-a8a6-7ccfe9047d26",
   "metadata": {},
   "source": [
    "Wir versuchen das Problem mathematisch zu modellieren und fassen dafür zuerst alle wichtigen Daten in einer Tabelle zusammen.\n",
    "\n",
    "<div>\n",
    "<img src=\"attachment:295989f9-65e3-410f-bc3a-d377c12961fc.png\" width=\"500\"/>\n",
    "</div>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6467d603-a01a-4c55-86c1-5e74372a312c",
   "metadata": {},
   "source": [
    "Ziel ist \"maximaler Profit\", also die Maximierung einer bestimmten Funktion, welche auch als <b>Zielfunktion</b> bezeichnet wird. Demnach handelt es sich um ein Optimierungsproblem.\n",
    "Die Zielfunktion lautet in diesem Fall $2,5 \\cdot x_1 + 4 \\cdot x_2$, wobei die <b>Entscheidungsvariablen</b> $x_1$ und $x_2$ der hergestellten Menge an Kakteen- bzw. Orchideendünger in 100g entspricht. <br>\n",
    "Das klingt erstmal nach einer nicht besonders komplizierten Aufgabe. Einige würden an dieser Stelle vermutlich behaupten, dass die Lösung darin besteht, so viel Orchideendünger wie möglich zu verwenden, da dieser schließlich am meisten Umsatz bringt.  <br>\n",
    "\n",
    "Aber ist das wirklich richtig?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e796754f-2181-4489-ad3c-f45a2969da65",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "    \n",
    "### Aufgabe\n",
    "***\n",
    "    \n",
    "1. Zeigen Sie, dass man keinen maximalen Umsatz erreicht, wenn sich die Fabrik dafür entscheidet, alle Rohstoffe für die Produktion des teuereren Produkts zu verwenden.\n",
    "2. Testen Sie ein paar Werte und schreiben Sie diese in einer Tabelle auf. Stellen Sie eine Vermutung auf, welche Verteilung (näherungsweise) optimal ist.\n",
    "  \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d36b5252-25c0-47c5-a161-3e16ef28b9fb",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ea46f364-4024-44d3-8f46-e077bf6be9ee",
   "metadata": {},
   "source": [
    "Dass man das Problem nicht stumpf wie oben beschrieben lösen kann, liegt an den <b>Nebenbedingungen</b>.\n",
    "Da wir nur begrenzt Stickstoff, Phosphor und Kalium zur Verfügung haben, ergibt sich ein Problem, welches nicht so leicht durch Hinschauen lösbar ist.\n",
    "\n",
    "Mathematisch korrekt lässt sich die Aufgabe insgesamt wie folgt formulieren:\n",
    "\n",
    "$$\\begin{align}\n",
    "\\text{maximiere} \\ \\quad & 2,5 x_1 + 4 x_2 \\\\\n",
    "\\text{u.d.N.} \\ \\quad & 2 x_1 + 7 x_2 & \\leq 500 \\\\\n",
    " & 3 x_1 + 2 x_2 & \\leq 500 \\\\\n",
    " & x_1 + 10 x_2 & \\leq 600 \\\\\n",
    " & x_1, x_2 & \\geq 0\n",
    "\\end{align}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "25a811dd-13cf-49f6-9f93-14f77253c547",
   "metadata": {},
   "source": [
    "Hier ist <i>\"u.d.N.\"</i> eine Abkürzung für den Term <i>\"unter den Nebenbedingungen\"</i>."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "81908da9-cf1c-4a9d-9dd1-697cc3cbb727",
   "metadata": {},
   "source": [
    "Alternativ könnte man auch die Matrix $A=\\begin{pmatrix} 2 & 7 \\\\ 3 & 2 \\\\ 1 & 10 \\end{pmatrix}$ und die Vektoren $x:=\\begin{pmatrix} x_1 \\\\ x_2 \\end{pmatrix}$, $b:= \\begin{pmatrix} 500 \\\\ 500 \\\\ 600 \\end{pmatrix}$, $c:=\\begin{pmatrix} 2,5 \\\\ 4 \\end{pmatrix}$ definieren. Dann kann man die Aufgabe äquivalenterweise auch ausdrücken als\n",
    "\n",
    "$$\\begin{align}\n",
    "\\text{maximiere} \\ \\quad & c^\\top x \\\\\n",
    "\\text{u.d.N.} \\ \\quad    & A & \\leq b \\\\\n",
    "                         & x & \\geq 0 \\\\\n",
    "\\end{align}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2644d2c5-f7c6-4467-a7a5-656dda5e276f",
   "metadata": {},
   "source": [
    "Ein Modell, dass sich in dieser Form schreiben lässt, nennt sich <b>lineares Programm</b>. \\\n",
    "Ein lineares Programm besteht immer aus zwei Teilen: Einer <b>Zielfunktion</b> $c^\\top x$ und gewissen <b>Nebenbedingungen</b> $Ax\\leq b$. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8d93f228-186e-415d-9458-796a74cfc972",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "Ein <b>lineares Programm</b> ist ein Optimierungsproblem, welches sich in folgender Form schreiben lässt:\n",
    "    \n",
    "$$\\begin{align}\n",
    "\\text{maximiere/minimiere} \\ \\quad & c^\\top x \\\\\n",
    "\\text{u.d.N.} \\ \\quad    & a_{1,1} x_1 + \\dots + a_{1,n} x_n & \\sim_1 b_1 \\\\\n",
    "                         & \\vdots & \\vdots \\\\\n",
    "                         & a_{m,1} x_1 + \\dots + a_{m,n} x_n & \\sim_m b_1 \\\\\n",
    "\\end{align}$$\n",
    "    \n",
    "wobei $A\\in\\mathbb{R}^{m\\times n}$, $c\\in\\mathbb{R}^n$, $b\\in\\mathbb{R}^m$ für $m,n\\in\\mathbb{N}$ beliebige Matrizen bzw. Vektoren sind. \\\n",
    "Die Zeichen $\\sim_1, \\dots, \\sim_m$ stehen hier für die verschieden Relationen der $m$ Nebenbedingungen. Dabei muss gelten $\\sim_i \\, \\in \\{ \\leq , = , \\geq \\}$ für alle $i\\in\\{1,\\dots,m\\}$.\n",
    "    \n",
    "Die Einträge des Vektors $x=\\begin{pmatrix} x_1 & x_2 & \\dots & x_n\\end{pmatrix}^\\top$ nennen wir Entscheidungsvariablen. \\\n",
    "Die Abbildung $\\mathbb{R}^n \\to \\mathbb{R}, \\; x \\mapsto c^\\top x$ heißt Zielfunktion. \\\n",
    "Die (Un-)Gleichungen unter der Zielfunktion nennen wir Nebenbedingungen.\n",
    "\n",
    "Wir nennen die Lösung $x^* \\in\\mathbb{R}^n$ eine <b>optimale Lösung</b> des linearen Programms genau dann, wenn $x^*$ die Nebenbedingungen erfüllt und die Zielfunktion maximiert bzw. minimiert.    \\\n",
    "Alle Vektoren $x\\in P := \\{\\mathbb{R}^n \\mid Ax\\leq b, x\\geq 0 \\}$, die die Nebenbedingungen erfüllen, heißen <b>zulässige Lösung</b>. \\\n",
    "Dementsprechend nennen wir Vektoren $x\\in\\{\\mathbb{R}^n \\mid Ax\\leq b, x\\geq 0 \\}^{C}$ <b>unzulässige Lösung</b>.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e57777bd-a85a-4738-a683-c3bffeb9c91e",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "    \n",
    "### Aufgabe\n",
    "***\n",
    "Nenne eine zulässige und eine unzulässige Lösung des obigen linearen Programms.\n",
    "    \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3e4fdda8-239e-4041-8dfd-8dd8e8e810fe",
   "metadata": {},
   "source": [
    "Da die allgemeine Notation so wie in der obigen Definition etwas unübersichtlich ist, legt man sich oft darauf fest, alle linearen Programme in einer einheitlichen Form anzugeben. Beliebt ist z.B. die <b>kanonische Form</b>."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "316e0858-d06b-4481-b057-94107581d531",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "Die <b>kanonische Form</b> eines lineares Programms ist gegeben durch \n",
    "\n",
    "$$\\begin{align}\n",
    "\\text{maximiere} \\ \\quad & c^\\top x \\\\\n",
    "\\text{u.d.N.} \\ \\quad    & A & \\leq b \\\\\n",
    "                         & x & \\geq 0 \\\\\n",
    "\\end{align}$$\n",
    "    \n",
    "wobei $A\\in\\mathbb{R}^{m\\times n}$ und $c\\in\\mathbb{R}^n$, $b\\in\\mathbb{R}^m$, $m,n\\in\\mathbb{N}$.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2f667d92-cbb5-4599-ad7e-80c400bc08a6",
   "metadata": {},
   "source": [
    "Wir wollen der Einfachheit halber annehmen, dass jedes lineare Programm bereits in seiner kanonischen Form gegeben ist. Dafür müssen wir noch zeigen, dass jedes lineare Programm tatsächlich eine kanonische Form besitzt."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fc46b97a-1067-44e0-bb67-35ec5c6656a7",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "    \n",
    "### Aufgabe\n",
    "***\n",
    "Zeige, dass sich jedes lineare Programm in eine kanonische Form bringen lässt.\n",
    "    \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fa8b48fd-fbd4-4641-a9be-0827e33c7eef",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "89d91f68-34b6-49db-afa7-664a0cc18d37",
   "metadata": {},
   "source": [
    "Manchmal ist es nicht leicht zu entscheiden, wie man basierend auf nichtmathematischen Kontext das Tripel $(c,A,b)$ die Nebenbedingungen und die Zielfunktion wählen soll. Es kann hilfreich sein, sich an folgendem Verfahren zu orientieren.\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dce05c01-68ce-4791-b3cd-3891323820a2",
   "metadata": {},
   "source": [
    "1. Entscheidungsvariablen identifizieren\n",
    "    - Welche Werte müssen gewählt werden?\n",
    "    \n",
    "2. Nebenbedingungen identifizieren\n",
    "    - Welche Einschänkungen des Lösungsraums sind gegeben?\n",
    "    - In welchen Relationen stehen die Entscheidungsvariablen zueinander?\n",
    "   \n",
    "3. Zielfunktion identifizieren\n",
    "    - Welcher Wert soll optimiert werden?\n",
    "    - Handelt es sich um ein Minimierungs- oder Maximierungsproblem?\n",
    "    \n",
    "4. Parameter Identifizieren\n",
    "    - Welche Vorannahmen werden implizit getroffen?\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5e5a79b5-50e2-426d-9324-6b0cf369ced7",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "    \n",
    "Ein lineares Programm muss nicht immer eine optimale Lösung besitzen. Was wir über jedes lineare Programm sagen können, ist, dass immer einer der folgenden drei Fälle auftritt:\n",
    "\n",
    "1. Das lineare Programm besitzt keine zulässige Lösung, also $S = \\{\\mathbb{R}^n \\mid Ax\\leq b, x\\geq 0 \\} = \\emptyset$.\n",
    "\n",
    "2. Die Zielfunktion ist unbeschränkt.\n",
    "\n",
    "3. Es existiert eine optimale Lösung.\n",
    "\n",
    "In den ersten beiden Fällen sagen wir, dass das lineare Programm <b>unlösbar</b> ist.\n",
    "    \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a6262ea4-44d2-4ec7-97bb-6551b91c9ab5",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "    \n",
    "### Aufgabe\n",
    "***\n",
    "1. Konstruieren Sie für jeden der drei obigen Fälle ein nichttriviales(!) lineares Programm. Denken Sie sich dazu ein adäquates Anwendungsbeispiel aus.\n",
    "  \n",
    "2. Welcher Fall tritt bei dem obigen Problem mit den Pflanzendüngern auf?\n",
    "\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5f9d8b1b-944f-458d-a309-9e7953e39a61",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3f43de77-94ca-4dc9-a70a-d951fcc4a71a",
   "metadata": {},
   "source": [
    "### Lineare Programme und Polyeder"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b8666f86-df8d-437c-9582-fd4c783bfe80",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "Wir betrachten ein lineares Programm gegeben durch \n",
    "$$\\begin{align}\n",
    "\\text{maximiere} \\ \\quad & c^\\top x \\\\\n",
    "\\text{u.d.N.} \\ \\quad    & A & \\leq b \\\\\n",
    "                         & x & \\geq 0 \\\\\n",
    "\\end{align}$$\n",
    "    \n",
    "wobei $A\\in\\mathbb{R}^{m\\times n}$ und $c\\in\\mathbb{R}^n$, $b\\in\\mathbb{R}^m$, $m,n\\in\\mathbb{N}$. \\\n",
    "Dann entspricht die Menge aller zulässigen Lösungen $P = \\{\\mathbb{R}^n \\mid Ax\\leq b, x\\geq 0 \\}$ einem <b>Polyeder</b> im $\\mathbb{R}^n$.\n",
    "</div>"
   ]
  },
  {
   "attachments": {
    "309e2db7-a91e-4272-bce6-bb0f6a9bee60.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "id": "5ac98448-4a0a-4b42-9e87-ba6d5993f879",
   "metadata": {},
   "source": [
    "Um diese Aussage zu veranschaulichen, betrachten wir erneut das Beispiel von oben mit den Pflanzendüngern. <br>\n",
    "Wir zeichnen die drei Bedingungsungleichungen in ein $2$-dimensionales Koordinatensystem ein und verwenden dafür drei verschiedene Farben, um sie besser voneinander unterscheiden zu können.\n",
    "Da ein lineares Programm in Standardform vorliegt, entspricht die Menge der zulässigen Lösungen genau der grauen Fläche zwischen den eingezeichneten Geraden und den Koordinatenachsen. Diese Fläche ist tatsächlich ein Polyeder. \n",
    "\n",
    "<div>\n",
    "<img src=\"attachment:309e2db7-a91e-4272-bce6-bb0f6a9bee60.png\" width=\"400\"/>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5ba5f1e6-59c0-4799-bc15-583c347b92ab",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "    \n",
    "### Aufgabe\n",
    "***\n",
    "1. Beschriften Sie die obige Grafik. Welche Gerade entspricht welcher Bedingungsgleichung? Welche Einheiten wurden für die $x$- und $y$-Achse gewählt?\n",
    "2. Zeichnen Sie Ihre berechneten Werte aus Aufgabe 1 in das Koordinatensystem ein.\n",
    "    \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6e456138-f221-43d2-9467-52972b86b2ce",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "29669fe2-63f4-4fb9-9017-c7ddf5b403ef",
   "metadata": {},
   "source": [
    "Die Tatsache, dass die Menge der zulässigen Lösungen ein Polyeder ist, können wir zu unserem Vorteil ausnutzen. Denn über Polyeder kennen wir aus der Geometrie schon einige Eigenschaften, die wir auf die Lösungmenge eines linearen Programms übertragen können. Diese könnten nützlich für die Lösung von linearen Programmen sein. <br>\n",
    "\n",
    "Um sinnvoll über Polyeder sprechen zu können, werden wir erst noch ein paar allgemeine Begriffe einführen."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3a832703-9b50-453d-b215-7094fadae1a6",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "Eine <b>Konvexkombination</b> der Punkte $y_1,\\dots,y_k \\in \\mathbb{R}^n$ ist eine Linearkombination $\\sum_{i=1}^k \\lambda_i y_i$, wobei $\\lambda_i \\in [0,1]$ und $\\sum_{i=1}^k \\lambda_i = 1$ für alle $i\\in\\{1,\\dots,k\\}$. <div>   \n",
    "\n",
    "Sei $X := \\{x_1,\\dots,x_k\\} \\subseteq \\mathbb{R}^n$. Dann nennen wir die Menge aller Konvexkombinationen von $X$ die <b>konvexe Hülle</b> von $X$. Die konvexe Menge von $X$ ist genau die kleinste konvexe Menge, die $X$ enthält.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1a92603b-9c89-4f79-ae47-0a52319c37d3",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "Sei $P\\in\\mathbb{R}^n$ ein Polyeder. Ein Punkt $x\\in P$ heißt <b>Ecke</b> von $P$ genau dann, wenn $x$ nicht als Konvexkombination von anderen Punkten in $P$ ausgedrückt werden kann.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "63bb8754-0b2b-438a-9d9d-c8909f80e055",
   "metadata": {},
   "source": [
    "Aus dieser Definition folgt, dass jeder Punkt eines Polyeders als Konvexkombination seiner Ecken ausgedrückt werden kann. \\\n",
    "Oder anders ausgedrückt: <b>Ein Polyeder ist die konvexe Hülle seiner Ecken.</b>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5ce870fb-6bc8-4122-a5fc-d2cc670569ac",
   "metadata": {},
   "source": [
    "Durch die obige Identifizierung der Menge an zulässigen Lösungen als Polyeder im $n$-dimenionalen Raum können wir eine wichtige Aussage über die optimalen Lösungen treffen."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "27d1f366-b592-4f11-b064-6321bbfd2294",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "Für jedes lineare Programm gilt: Eine optimale Lösung $x^*$ ist eine Ecke im Polyeder der zulässigen Lösungen.\n",
    "</div>\n",
    "\n",
    "Dieser Satz ist besonders wichtig, weil er uns eine aussagekräftige Charakterisierung von der Menge der optimalen Lösungen gibt. Das erleichtert unsere Suche nach der optimalen Lösung wesentlich. Anstatt nun jeden Punkt im Polyeder der zulässigen Lösungen auf Optimalität testen zu müssen, wissen wir nun, dass es ausreicht sich auf die Ecken des Polyeders zu konzentrieren.\n",
    "Die Menge der Punkte, die nun potenziell das Optimalitätskrieterium erfüllen könnten, verringert sich damit drastisch. <br>\n",
    "\n",
    "An dieser Stelle ist es sinnvoll, einen weiteren Begriff einzuführen.\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dd40b4d2-8112-47d8-95e6-00a3631497ee",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "Sei ein lineares Programm gegeben durch \n",
    "$$\\begin{align}\n",
    "\\text{maximiere} \\ \\quad & c^\\top x \\\\\n",
    "\\text{u.d.N.} \\ \\quad    & A & \\leq b \\\\\n",
    "                         & x & \\geq 0 \\\\\n",
    "\\end{align}$$\n",
    "    wobei $A\\in\\mathbb{R}^{m\\times n}$ und $c\\in\\mathbb{R}^n$, $b\\in\\mathbb{R}^m$, $m,n\\in\\mathbb{N}$. <br>\n",
    "Sei $P = \\{\\mathbb{R}^n \\mid Ax\\leq b, x\\geq 0 \\}$ das Polyeder der zulässigen Lösungen. Dann nennen wir die Menge $E:=\\{e\\in P \\mid e \\text{ ist eine Ecke von } P \\}$ auch die <b>Menge der Basislösungen</b> des linearen Programms.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f4574dd3-91d9-4898-8515-d8be11de41ac",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "    \n",
    "### Aufgabe\n",
    "***\n",
    "Beweisen Sie den obigen Satz\n",
    "    <center><i> Für jedes lineare Programm gilt: Eine optimale Lösung ist eine Ecke vom Polyeder der zulässigen Lösungen. </i></center>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f0a3c807-47cc-4ba7-b9fc-72eb3a5f76aa",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "34f5fcac-99b2-4d9d-98a5-0ebd64cb8a9c",
   "metadata": {},
   "source": [
    "Wir haben nun bewiesen, dass sich unser Optimierungsproblem auf ein diskretes Problem reduzieren lässt. Anstatt unendlich viele Punkte in der Menge der zulässigen Lösungen auf Optimalität zu testen, können wir uns auf die endliche Menge der Basislösungen beschränken."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "044b56be-ea5b-451e-b13a-38fc4c3b0104",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "    \n",
    "### Aufgabe\n",
    "***\n",
    "Wir kehren zurück zu unserem Beispiel mit der Pflanzendüngerproduktion. <br>\n",
    "Berechnen Sie die Ecken der Polyeders der zulässigen Lösungen und werten Sie an diesen Stellen die Zielfunktion aus. Formulieren Sie eine Lösung zum Optimierungsproblem.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5fab4b52-fb4d-49dd-8017-41f39e83e8e1",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8371e038-6940-42d4-8322-31f176618454",
   "metadata": {},
   "source": [
    "### Der Simplex-Algorithmus"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5966521c-d73a-46a0-a94d-c86378a61927",
   "metadata": {},
   "source": [
    "Zur Veranschaulichung wurde ein sehr kleines Beispiel im $2$-dimensionalen Raum gewählt, welches sich per Hand durch das Testen jeder einzelnen Ecke schnell lösen lässt. In der Praxis müssen jedoch lineare Programme mit weitaus mehr Entscheidungvariablen und Bedingungsgleichungen gelöst werden, sodass dieses Vorgehen nicht mehr effizient wäre. <br>\n",
    "\n",
    "Der Begründer der Simplex-Methode, George Dantzig, hatte jedoch eine Idee, wie man die Suche nach der optimalen Lösung in den Ecken beschleunigen kann. Die Grundidee, verschiedene Ecken des Polyeders auf Optimalität zu testen, bleibt bestehen. Allerdings werden die Ecken nicht in einer beliebigen Reihenfolge getestet, sondern systematisch durchlaufen. <br>\n",
    "\n",
    "Zu Beginn benötigt der Algorithmus als Input neben dem linearen Programm eine vorgegebene Ecke, an der wir die Suche starten. Wir iterieren nun über die Ecken des Polyeders in einer ganz bestimmten Reihenfolge: Ausgehend von der jeweils aktuellen Ecke wählt man eine benachbarte Ecke, an der die Zielfunktion den höchsten Wert annimmt. Also wählt man in jedem Iterationsschritt die bestmögliche nächste Lösung, solange bis der Zielfunktionswert $c^\\top x$ nicht mehr verbessert werden kann. Dann haben wir eine optimale Lösung gefunden.\n",
    "\n",
    "Es ist bei bei diesem Vorgehen garantiert, dass sich der Zielfunktionswert stetig verbessert. Es gilt nämlich die folgende Aussage:\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7f3a172e-a5a3-4438-aa8a-e878240eaa1e",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "Wir betrachten ein lineares Programm in kanonischer Form mit Zielfunktion $c^\\top x$ und dem Polyeder der zulässigen Lösungen $P\\in\\mathbb{R}^n$. <br>\n",
    "    Eine Ecke $e\\in P$ ist genau dann eine optimale Lösung, wenn für alle benachbarten Ecken $\\tilde{e}$ von $e$ gilt: $c^\\top \\tilde{e} \\leq c^\\top e$\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0a7f211e-a437-4bf2-800b-023460bc40a6",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "    \n",
    "### Aufgabe\n",
    "***\n",
    "Beweisen Sie die obige Aussage.    \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "baf0f4a1-8d25-4540-8a1a-66a8dd4a758f",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6ef68d20-722d-47d8-a3d6-86dea7a5f703",
   "metadata": {},
   "source": [
    "Nun haben wir das geometrische Prinzip hinter dem Simplex-Algorithmus verstanden und können das Verfahren in einem Pseudocode festhalten."
   ]
  },
  {
   "attachments": {
    "d5c10524-3256-4e94-bef8-cd4c58ecceea.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "id": "5c974a59-0402-4987-ac24-4746a2edc58a",
   "metadata": {},
   "source": [
    "<div>\n",
    "<img src=\"attachment:d5c10524-3256-4e94-bef8-cd4c58ecceea.png\" width=\"500\"/>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "60b95378-bd20-4ab5-a876-8d5de403a252",
   "metadata": {},
   "source": [
    "Wie man dieses Verfahren auf mathematischer Ebene realisiert, werden wir jetzt betrachten.\n",
    "\n",
    "Im Simplex-Algorithmus rechnet man, ähnlich wie beim Gaußschen Eliminationsverfahren, mit einer Matrix, die durch elementare Zeilenoperationen sukzessive umgeformt wird. \n",
    "Die Matrix, mit der wir im Simplex-Algorithmus rechnen, heißt <b>Simplex-Tableau</b>. <br>\n",
    "Jedes Simplex-Tableau stellt eine Basislösung mit ihrem Zielfunktionswert dar. Die Umformungen zwischen den einzelnen Simplex-Tableaus entsprechen dem systematischen Durchlaufen der Basislösungen, also der möglichst geschickten Wahl der nächsten benachbarten Ecke im Polyeder. <br>\n",
    "Nach endlich viele Umformungsschritten haben wir eine endliche Liste an Simplex-Tableaus erstellt. Ziel ist es, das Simplex-Tableau auf eine besondere Gestalt bringen, an der wir die optimale Lösung ablesen können - so wie auch beim Gaußschen Eliminationsverfahren. <br>"
   ]
  },
  {
   "attachments": {
    "3e631b59-a343-4847-a67d-50c20b2bb064.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "id": "05d53ae0-bd66-4d97-b18f-2aa0517dbc3c",
   "metadata": {},
   "source": [
    "<div>\n",
    "<img src=\"attachment:3e631b59-a343-4847-a67d-50c20b2bb064.png\" width=\"500\"/>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "93b4d137-7826-48d8-93ea-db5319201553",
   "metadata": {},
   "source": [
    "Bevor wir den Simplex-Algorithmus einmal an einem konkrete Beispiel durchrechnen, brauchen wir noch einen kleinen Zwischenschritt. <br>\n",
    "Bisher haben wir lineare Programme hauptsächlich in ihrer kanonischen Form betrachtet. Für den Simplex-Algorithmus werden wir eine andere Form benötigen, die sogenannte <b>Standardform</b>. Um den Simplex-Algorithmus auszuführen ist es notwendig, dass das lineare Programm in seiner Standardform gegeben ist."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0e8178fe-7db7-4c35-a1a2-b50046ccbb33",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "Die <b>Standardform</b> eines lineares Programms ist gegeben durch \n",
    "\n",
    "$$\\begin{align}\n",
    "\\text{maximiere} \\ \\quad & c^\\top x \\\\\n",
    "\\text{u.d.N.} \\ \\quad    & A x & = b \\\\\n",
    "                         & x & \\geq 0 \\\\\n",
    "\\end{align}$$\n",
    "    \n",
    "wobei $A\\in\\mathbb{R}^{m\\times n}$ und $c\\in\\mathbb{R}^n$, $b\\in\\mathbb{R}^m$, $m,n\\in\\mathbb{N}$.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cd022da5-d71b-4fc7-999e-9199a15f1727",
   "metadata": {},
   "source": [
    "Jedes lineare Programm kann leicht in seine Standardform gebracht werden.\n",
    "Oben haben wir bereits gezeigt, dass sich jedes lineare Programm in seine kanonische Form bringen lässt und haben dementsprechend angenommen, dass wir von jedem Programm bereits die kanonische Form kennen. Also brauchen wir hier nur noch zu zeigen, wie man die kanonische Form in die Standardform umwandelt. <br>\n",
    "Dieses Vorgehen erläutern wir an einem Beispiel."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d2b38352-49e6-4220-ada6-6bc576533a8c",
   "metadata": {},
   "source": [
    "Wir betrachten das lineare Programm\n",
    "$$\\begin{align}\n",
    "\\text{maximiere} \\ \\quad & 3 x_1 + 5 x_2 \\\\\n",
    "\\text{u.d.N.} \\ \\quad    & x_1 + 2 x_2 &  \\leq 17 \\\\\n",
    "                         & x_1 + x_2 & \\leq 15 \\\\\n",
    "                         & 3 x_2 & \\leq 18 \\\\\n",
    "                         & x_1 , x_2 & \\geq 0 \\\\\n",
    "\\end{align}$$\n",
    "Das Programm befindet sich bereits in der kanonischen Form.\n",
    "    \n",
    "Um die Standardform zu erhalten, führen wir für jede Gleichung eine weitere Variable, eine sogenannte <b>Schlupfvariable</b> ein. Mit diesen Schlupfvariablen $x_3, x_4, x_5$ können wir das lineare Programm äquivalent ausdrücken als\n",
    "\n",
    "$$\\begin{align}\n",
    "\\text{maximiere} \\ \\quad & 3 x_1 + 5 x_2 \\\\\n",
    "\\text{u.d.N.} \\ \\quad    & x_1 + 2 x_2 + x_3 &  = 17 \\\\\n",
    "                         & x_1 + x_2 + x_4 & = 15 \\\\\n",
    "                         & 3 x_2 + x_5 & = 18 \\\\\n",
    "                         & x_1 , x_2 , x_3, x_4, x_5& \\geq 0 \\\\\n",
    "\\end{align}$$\n",
    "Machen Sie sich an dieser Stelle klar, wieso man das lineare Programm auf diese Weise erweitern/umschreiben kann und sich die optimale Lösung dadurch nicht verändert. <br>\n",
    "\n",
    "Wir haben also die Standardform unseres linearen Programms gefunden mit \n",
    "\n",
    "$$c = \\begin{pmatrix} 3 \\\\ 5 \\\\ 0 \\\\ 0 \\\\ 0 \\end{pmatrix}  , \\\n",
    "A= \\begin{pmatrix} 1 & 2 & 1 & 0 & 0 \\\\ 1 & 1 & 0 & 1 & 0 \\\\ 0 & 3 & 0 & 0 & 1\\end{pmatrix}, \\  b=\\begin{pmatrix} 17 \\\\ 15 \\\\ 18 \\end{pmatrix}$$\n",
    "</center>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "58742c10-b2e7-4af8-a631-c6711375da0c",
   "metadata": {},
   "source": [
    "Jedes lineare Programm in dieser erweiterten Form hat eine triviale Basislösung, die man direkt vom Gleichungssystem ablesen kann und immer Zielfunktionswert $0$ besitzt. In diesem Fall ist das die Lösung $x = \\begin{pmatrix} 0 & 0 & 0 & 17 & 15 & 18 \\end{pmatrix} ^\\top $. Diese triviale Basislösung wählen wir immer als Startecke für den Simplex-Algorithmus.\n",
    "\n",
    "Wir starten also mit dem Simplex-Tableau, das der trivialen Startecke entspricht. Dieses sieht folgendermaßen aus:"
   ]
  },
  {
   "attachments": {
    "97128c64-7ce6-453d-9eab-ec1ee579d7d6.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "id": "d79dbf80-fd4b-4eaf-96f1-402467cb3961",
   "metadata": {},
   "source": [
    "\n",
    "<div>\n",
    "<img src=\"attachment:97128c64-7ce6-453d-9eab-ec1ee579d7d6.png\" width=\"300\"/>\n",
    "</div>"
   ]
  },
  {
   "attachments": {
    "e1b7bcb6-25c5-44b4-9be1-b0408f757c3d.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "id": "19426991-e870-40be-b8b9-0257db114595",
   "metadata": {},
   "source": [
    "Für unser Beispiel bedeutet das konkret\n",
    "<div>\n",
    "<img src=\"attachment:e1b7bcb6-25c5-44b4-9be1-b0408f757c3d.png\" width=\"300\"/>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5f014b5d-41c3-4de9-ac13-14e4ac544a34",
   "metadata": {},
   "source": [
    "Wie sich dieses Simplex-Tableau interpretieren lässt und warum es eine Darstellung der trivialen Basislösung ist, werden wir jetzt erläutern.\n",
    "\n",
    "- In der ersten Zeile stehen die Entscheidungsvariablen.\n",
    "\n",
    "- Die aktuelle Basislösung  $x$ bzw. Ecke des Polyeders, an der wir uns befinden, können wir in der Spalte ganz links und in der Spalte ganz rechts ablesen. Es gilt also $x_3 = 17$, $x_4=15$ und $x_5 = 18$. Alle restlichen Koeffizienten der Basislösung sind Null.\n",
    "\n",
    "- Im Feld $\\Sigma$ unten rechts steht der Wert $c^\\top x$, den die Zielfunktion an der entsprechenden Basislösung annimmt. An der Startecke wird das per Konstruktion immer $0$ sein.\n",
    "\n",
    "- An der letzten Zeile können wir ablesen, ob die gefundene Lösung optimal ist: Sind alle Werte der Zeile nicht-negativ, so zeigt das Tableau eine optimale Lösung an. Da wir zwei negative Einträge haben, ist die Startlösung natürlich noch nicht optimal."
   ]
  },
  {
   "attachments": {
    "863535c6-f4da-479d-bad3-63a1f743f6e0.png": {
     "image/png": "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"
    },
    "a3ea053f-25a2-437b-ab60-772fb7063b42.png": {
     "image/png": "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"
    },
    "e7f4be7c-e4c1-4976-a2bd-bcc1ea0c4a19.png": {
     "image/png": "iVBORw0KGgoAAAANSUhEUgAAA+IAAAGSCAYAAABnp3ujAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAHYcAAB2HAY/l8WUAAFhfSURBVHhe7d1/aJT33uf/y1uXHVm/946LNzvDWnCKZR23BSfbsk3QPxzxgBELTWihCS3YWEGTFtqkwqk5LtjYs2hioU080GMqHDFCJZGtOLJ1na54SIR2M4EWIyhnhAqZ5chmuI/3OnB77n6v6/W+Jvakjfl9mZl5Pg6vvKPNRI9z5bquz/W+Pp9r2Y8uBwAAAAAABOLv/AoAAAAAAALAQBwAAAAAgAAxEAcAAAAAIEAMxAEAAAAACBADcQAAAAAAAsRAHAAAAACAADEQBwAAAAAgQAzEAQAAAAAIEANxAAAAAAACxEAcAAAAAIAAMRAHAAAAACBADMQBAAAAAAgQA3EAAAAAAALEQBwAAAAAgAAxEMei+fu//3tlcHBQAQAAAJai//E//ofyH/7Df1CAxcZAHAAAAACAADEQx6L5p3/6J+Vf/uVfFAAAAGAp+utf/6r8v//3/xRgsTEQBwAAAAAgQAzEAQAAAAAIEANxAAAAAAACxEAcAAAAAIAAMRAHAAAAACBADMQBAAAAAAgQA3EAAAAAAALEQBwAAAAAgAAxEAcAAAAAIEAMxAEAAAAACBADcQAAAAAAAsRAHAAAAACAADEQBwAAAAAgQAzEAQAAAAAIEANxAAAAAAACxEAcAAAAAIAAMRAHAAAAACBADMQBAAAAAAgQA3EAAAAAAALEQBwAAAAAgAAxEAcAAAAAIEDLfnT5nwMLavny5apXr15V3bx5s2rpyOtj9uuUaurbMVVnbUKldkdSNRZWeaSQUxk63686eFfFiW6pV617MaIa0keUutzIgOrFy1nV/JqYanJHnWrC3u5HHtp2NXrZto/U9/br8LO1qvXb46rhFSoodbmMysCltGr2nu0wYtt3qtZtmryBmPxN2+/0XxhVza+x7aJ2l20n8TUqKBd523+kL9n7nikeN56397t2q+1Xfna4uTukOnB+UHXMiarWvGz7n+q1HGnKA+cjQUil7N+3sbFRdXx8XBVYLHTEAQAAAAAIEB1xLJqS7YjfsSuibYetk1X1ToNq7brVquNDnaqNtfbfm25dtLrCOqMtR+1KdeOBJtXEGvt1+uge1Z037ffHvrDv+8v9MCxZ9+1973mnV9V5vVmlPmGdqNAd6zw072hXjf7BOl2d1fa6rnesMxo7YK+rXafijJ62Xzce2qjaO3ZQtVofUToK+pj5tEW117Gf8+ZXqlSjK2x76H/POp3tkTOq2aM1qplj9rr0+lbV5h3WCXW+t69rft22q42nbL9y8EUVlKjshTbVIyO2fTS/bttFLGyduMGj1pnbOWLHjT+lrDrnbDvpytl/b91tndHoPdu/dLxpd1yMvmXbSf9rHGlKEucjgaIjjqDREQcAAAAAIEB0xLFoSq4jft/m2h05dEO17pBdKY5PnnPlWEerr+5p1cb71slsXmtfWHe0QzXpz+HMfGydrqr37Ps7jnW6rjywK9lJJmeVCP99f8864eED9j7XTtFCGDq0TLXmQ9uOmt9WcRLvdKs2rbc3Pn/BOlvxl3pUc47N9Tt564pq03oVlIjsWetw9oatduyYYgP5o3W2l205otq0z/Yjzgu2f+jebZ3w0D3r0LQ8Zx3OHpvy6SQ/+5Pqlbf8jjlKSuG6ve/t39lc7va3/LUh9PEn7vSp1MesQ5f3t5NY2F7X+ZHtL8KOf8dNtXXW266rOM77th95cNS+jsNNieB85ImgI46g0REHAAAAACBAdMSxaEqnI25zOtMf2BXn7JvW8Sx2LH/OWlJ9r9qc4MZzKk7dH6xD1f96sUNV/L72622/tddV/9o6FKmJTsYsPbTvmy/Y3y+8SgWLLHvKrpD3rLXOdef2x79zQx/6HfFDKk7iN7aq8eBhm/Vd3Lqyp6zT+fSbdiU+8vpJ1fQJvwMyw/e3kLdVdW3r8PjbR7jCWxxBuW37jcbP7Oe9x+9ATrmV+B3RZdXWGXc22ZoAg9esg1VdfN/977vzGZvTmYrYXM6TX/v7qQ0zfH/v2/aRf6jycyvsb8r+ZJEVbA53+17rZDZ9Zj/nsanexrt+R/wp2/8MONYJP5O1tSga/DUmJr5vbJvqkZztZw5+ZfuVjmn2VzOV/9b+PmnH5rLXPb8w3xdFS/N8pJC314dmejwpnqc8tK8vlcMQHXEEjY44AAAAAAABoiOORVMyHfF7/uqih+ySbccJu9I/9XV+fy5ewp+LN2Jff7K4WunP5vT6V4Ynrijbd57xBWL/ynL2W1s1uecD66B1+Z3ZsT9Yh4Q1cReL/36/YR3t2s9sDl58yjfQOo+p/baq7c7f2TvT+pV1wDq3//ILix1tZ5W/fUzzHPH8H7tUmw9ZJ2z1ZutoxP4/u4Kf/do6Vz0Z+/Ma/LntPe9bp4w+1sLKHLMOyuAO+3dufvbxP+HFtQFW+2sDRPy5vNmp5vIWO9r+Ozdt5/qO7dfaDtj3zz9nHba6zX+7pwgVbLtMHbP9ykDI/n90fmKd+bopO3GYi/x5e9/bV9i/b/euaX4SR+znvCphaw5kdtgdM8XV04v9zgkFfzsp3jG1UK3ISXPVBz8aVh37ta3WjgWy5M5H/Lnqy2xueXvE1jJIbrH9VPULtgWudmw19tHLdpxMf2fbYfIT+3ucfOVnW+qSREccQaMjDgAAAABAgOiIY9GUTkd8VGXovl2xrV43TQdh8py97bba6PCXtvpoYr4NiG+tg7XtA7sy7qy1jkPdcyrOwHvWIUm/bnME6YgvsoLNpcvctjc28ex0vWS/gxD1Owg561z1/9k6WXX+6rVzVeyk1py37aL/E/v+P59Lbh2PoQ+tc1FzyP5eEX+7ybDdLBD7d859a53l0PNTrH49ydCHNqez5pBtX00D1nk5+fJ0r5zGxFxh207yn9mvu3dN8077nbg9/1Cv2hvxt9uMv92yoSyI/E37ORxfa3emxKa5syF31t6PaIO9P8nj1om++K79/M/3cDO9X16NPUJHfHEstfORyR1xffwltoOI77K/R/tH9pUN0x4vlxY64ggaHXEAAAAAAAJERxyLpuSeIz5Dhcs2V2/lr6wzPe3czoUy+co3HfGlyV/lepu/ynV6ujmdM/a3cwFH99rzZTv3TdeBnTyHUMVpTj1Q7d6x+D01/JR1znt/Zc/93XN5ujmdszR5NXZnpndk/PLqyw1f2NzPM6+whwmW3WmRPrBSddsx+/efbq2JhVO8o8a/QyJrf17vKevM0xFfGhb/fKTYEe9Wjd2yO/ZqJ+9HyuSpC3TEETQ64gAAAAAABIiBODBLmetnlKKaxEbFu/JMbxG5b1KKNzPXS6J6o+L1Ga3XOEd3R5XBEUfp3b9RaTufV6bmdczjTmK7+3dxU9Q/MqogYHeHlNRlR3E21Sgb1zrKvG1qUC4eblKaDjcoiTXu+//Y9Qm8zveYM3bL/ejG7rGJOKtXhRQEzbuTJeMMnXYU90ijVMVDymIrXO9SOv7crHTurVKwtAR9PhJaFVbC4UlZVfrdcOBJYCAOAAAAAECAGIgDM+bNzcs6N67lFMfx5nbWOrUvRBRUOm9OZcG5kRlQih3F5IsJZd4dirXu9uam7WiTktzdrTRvDytT87rleSfvbrJeilausCBYhdFhxdtCtJVsr1a81Y3nv8KxKxRTan9zUjn5m6TirU3w2PUJRtLKmRFHiWxtU5q2hhUE7PYNJe3+zHpxdrg//26q1zrKormXUto+cJT2j2oVbwtgK1hKOB8BygEDcQAAAAAAAsSq6Vg0Zbdq+uRVyzd1qA4OHVStnqabNXrKVtPOv26rGFfPthvJqulLnL+67MTzw+19OfODvU8N03Sx8l/barSDsWbV2nUq8zfxXOltqkdy1hc9eM1WXe/YvBBtWMzU5OeH1/XZquT9r03zE3zP3seeIXv/mnc9tr89c/73PbLLto/e1a2q3SfsecQLth1iViY/PzxxeFB18Df2/PGpf2pt3Yfe39u6EU1v2ddPz1Zj73vTnj+f3Wv7rYMv+n/SpNX4WTX9CQvsfKS4arrtD0J/sNXYs5dtv1GI2PEuct9+PZS3Xzcfsv1I3YbSOr6wajqCRkccAAAAAIAA0RHHoimZjvg96yCkv7Pnpm7cYlf4I5OuEOcvWKdg9UvWuXTetuf+PvjEngM85XXfYkeywToOTQNzfJ40HfEn4769b0PfWAczkrAOU2zyhMkRe45rVcKe65rZbs9dvfGVdbjtad+/xL5/b51tV7E/WOchuUAr0GZ/v1P16b12pT/mb7fD/nbLvM/5sv1G9rp1LHNrbGXp6vWT/2UnP8/dOkvdo/bc3+YNKlPKnrIOac9aWyF55s+Rtv1b317bPtOFv+3wZDP2906Hbb9y8azfCV/MecgVLP+9HQ+GH25UTW6avOe2TnZq/2rVnb9TmfFz/wtfW8e68bb//Pi3ZnakyZ7do9py1/ZX/e/bcXDiT6MjHowldz5S7Ijb/mH4Ezvv6H3b/l6T93L5S3b8i9fanRw7B2z/cvLl0jhDoSOOoNERBwAAAAAgQHTEsWiWfEf8Z3NnVZzkZ39SvTLRSbAOxcCb1qGoP6XyC1/3y7Kn7cp171qbw9Ux1xWI6YgHzO9U1z6tuueSiuO8bx3MB0eto1nsPGSOWaez6oB1Pqf6uskKf7ROU9utBtXO3bY9Pb7vNb2C38FKVltnPv+WdUQvnrA/J8aK6Qsie8q/4+BN66Q4js2NvPLAv7Oh+EZOvmNiqq+b7L7fkfrA5vQ3HPU7WPPdQCbJnrf9VGOd7VdWvmtzSM8ctw4b+5f5KXaqY0n7ucw5tl84ecv2E03rVRznnnUS9/yD3QHRO9XX/Yztr/resfctcsiON8nHPjveddu+vv7wStXOP/j7B338CTrii2uJn48U8tahD4Wn2/H4x81f+cfNy7Y99Y/ZnTx1S3xHQkccQaMjDgAAAABAgOiIY9Es+Y643wnY9ozNjUtHrLPcfcmu3DZvsiu/hT9aB6DtO5vTF/2DXSlt3/L4jmfe73Q2f2VzinsO29fNeU4uHfFg+R2KtpXWoejye0TNX1onqHuX/07esfel5YSKk7hvnc49t63j8KevppiD579uz0c297P1uH1dfL5zw/3v2+h3rvL7T6qe+c08tz9MYh2i9AHrJG47pvILc/D9TuV+fy5nwl7XutfmgnZM1el8WHyd7UcevGd3NjQt2irE9vdKvWP/f3Z+quJUH7XtfdCfM4y5yf7e9iNP77X9SuRlez9Tf7A52YlV9u8/dMjumBiO2+r6Zxrs57jmK9tP/HxtAOuQDv3Wvs/F520769g+zU968U6LV+04GD9h+4m6qVbJpyO+uErtfGRKv7xfrP3cOvYX/Tu+lio64ggaHXEAAAAAAAJERxyLZumvmm6TsFLv2ZXPrpB1JA9ut95y4Y5dGR24a52tzmJH0f/9ltfs68cb7Ep207MqTu6PNsdvMGwdio4pVhedNTriAbMr+5nf2b9385C9/+27bf3zUN7mgvddtne21Z+7Gy+ujt1g203/szY3uMPfrvLf2/aRytv3O/iuvX+xeXbCCzf97XCXbSfRo9bh6nx5aXcgSl1hxDqQjftsdeDkB8U7G6xTmTltHdDwAZsL3uSvjp752OYA135h+4euj2x7iOStUz5wwV6fLD6Pd91MO+G23ebv29eHZ7ldTX5+tbvl6+PFv1gHt3aBVvOvOHftuNH2hu0PQm/Z856TEXu/spfs3zu33baTg35HO+uvjt241zpzjZ8X9zN2/Bo6Z9tdeL/dgdP8/HRHGn+/9lvb3hr/bN+ve7rn0t+0/cq2/bafcd6y7eHKa/7zIP6Vvb5qs9WF77SWu6V2PmLbyeh5+36pvK2B0rTbOurTvX7ow2WqNYdUSuYOCjriCBodcQAAAAAAAkRHHIumZJ4j7ivkbU7maMY6UeGEXemPTblKqN95umMdrOGcfd3GZ+11kYXuHNERf7LuW8di9HvbTpx1dmU/Hnl8p7KQs+0jM2rbS2Ta7Wp2Jjrhr9icz+S5x88lLj5/tuqmdVD+xNzfhfHQ3t/cbbsjIuuvCpBYbz+ZoalWqZ/YrmxV9ELEOk/xddZzmvlWYt9n4A17P+tP26+TJ+z7Xtnndy6n8bPnEzulterx0jfpuJG397lqg99JnuoNL9hxKXvTOou5kM0Rnnb7+hl/O/3WOuk3/qIyrfzXNse4/kN/jvs+f+2JV4qddJvTXrXVtjM64vPzxM9HctZJb4zaHTJ9/hlGxzdjqgefV5nS0CG/I/6hilP9ie2HBt+e2X7oSaEjjqDREQcAAAAAIEB0xLFoSq0jvuTREcdPFDvhLe9Z56ThDzN7bvDQh/Z8195nrSN28mW2nPJgnfgjUeuot+fsfU2esA7mTDvik1f3dl60OcvDQzZXnfsnKtPktQNYNb3cFfcndufUjQN2h0zPu9PNEbfj0cRzxL+zuezdl2xV9+ZNKksWHXEEjY44AAAAAAABoiOORUNHfIH5z4euj/kd8R02R+9PKbtiXZyph/JWGLFVl+t32POGR9dZxyH2/6lM7aHN7bvxtc0lbPvGnuvaOs1cP5SWzMc1qo0/2POGB48Xn2c+jYLfAdvqd9TvWAe99XO7c6JzB7N+K1n2tHXEn37DX03/sG0XP/7GOqQoT9mzdr6x57atHXHRf7+nnKnuP+e8ZovdsbX6I9teLv768a9bKuiII2h0xAEAAAAACBAdcSwaOuJzlLMrssXnzVqfynEeZG3O5tBtlQmxFyd1RDfZXM7+ozPshKE05G27aInvVO2xRbFnL2J3UPRn7I4KVsEuN/7zy0/ZHRPt51Sc5Ou2lkRNwjreRZGCdTb7Dtlzhruztj9p+53NCW3dzB6kstiOZeJ51t+rOGPf2fFndGK/Y/dgVW+3ujJk21fnl7YdMXO8XNgdVKOnrCPedMne75bddn6RiPn//YKtJdH2md15VfuBdcQ7dtudNaWyF6EjjqDREQcAAAAAIEB0xLFo6IgDwBM26fnmN8YeqE62OjbX55cDqBj+8+xHR/xV84u7k9XWKa951urMn2u/tNARR9DoiAMAAAAAECA64lg0dMQBAABQCuiII2h0xAEAAAAACBADcQAAAAAAAsRAHAAAAACAADEQBwAAAAAgQAzEAQAAAAAIEANxAAAAAAACxEAcAAAAAIAAMRAHAAAAACBADMQBAAAAAAjQsh9d/ucz9te//lW1UCioAr8kEomo/vf//t9V/8t/+S+qAAAAwFLyP//n/1Tdt2+f6q1bt1SBn1qxYoXqv/7X/1p1PuiIAwAAAAAQoDl1xC9duqRaW1urCgAAAABAOWtqalI9efKk6nzQEQcAAAAAIEBz6oj/4z/+o2o2m1UFfslrr72m+l//639V3bBhgyoAAACwlGQyGdVPPvlE9dSpU6rAT/27f/fvVJ966inV+aAjDgAAAABAgObUEQdmYvny5apXr15V3bx5syoAAACwlKRSKdXGxkbV8fFxVWCx0BEHAAAAACBADMQBAAAAAAgQA3EAAAAAAALEQBwAAAAAgAAxEAcAAAAAIEAMxAEAAAAACBADcQAAAAAAAsRzxLFoeI64735WJfON1UdPpVytjxurE6qRkAoqXl4fs9fHVFe/GFcN6yNg8reHVMfC1arxNSrA3DzMqWRGVJz48xFVDktlhvORx+I54qZwb1Q1852dhzzQR49tJ7EXbDuJrVLBPNARBwAAAAAgQHTEsWgqtyNuHc2hY02qTddiqq377Nc7q6OqD272q/Z8cEQ1s6lb9eTxWlV7FSpF4W5atee9Papt52w7uDhu20UtLfHKVrCOZfrTZtU9BwZUa7+0jk33LjYQzF5+pE+1471W1a7xNtXhjP3a+l4oXZyPzEbFdsTzGZWevXZ8Sa1JqiZf2KgavX9DdfCS7S96LtkdFbEdtp/oPtGpWrtOBbNARxwAAAAAgADREceiqbyOuF0h7HujRrXxnt9Z+MLvLEw5l2bS6275rxuiI1FWbtuV9q7zNvfK+Yu974OXrRM+uto6E6FL9uuMY1em6YhXCtseUses0z3qz97MfmPbQ3rU5uZFV9h2lPbn8jbTEcdj5K/3qvZes86o82fb/6QuDaqGnrLtJnXJ1hxwNllni454qeN8ZC4qriN+337uj7xqP/fhw7a/aH7+8ceT7Gn796l5wzrkOcfWKukYsuPVwRdZXWKm6IgDAAAAABCgZXTEsVgqrSOev9CiGn/JOg2NX9mVwc7tM+xUjXSpVCXsCrRzfFhl+F16EmXBX4U07a9C6qy2WXdV662G83Zluf4pu9I8QEe8wljHcvRr+7kfK65Om7BV82Nh++99r9qdE43nVOiI47EKd23u5+At205WRm3OZ3ydrYoeHrE5wcuq21XpiJcHzkfmpnI64nY8Se2vV02/YmsEdG6d6XGkoI/pA3b+su2YrWHiHpH0kfOWmaMjDgAAAABAgOiIY9FUTkfcOg5diSrVtpx/RXB0tlcEJ32fEetIXHlgHYokU27K21064ngc6zjQEceCuk5HvLxwPjIfFdMRv21zwXc+Y3PEa4cOqja+6N+hp48zMOnOCdtq3O3jM1tl/cpbdkcXpkZHHAAAAACAADEQB+brekrpHHEUZ11ciYW9eZ32JTPjdbqiTuw593VuHMe70tjlDFzOKwAAAFPifAQzkB/NKCmnV2mpflqJf5BWvBngNgt8GhsSivfUcXvyuElfzijefVzF2eP4ZQzEAQAAAAAIEANxYJ6y36WViSt/iZhi15Nnw1vFNuJEn3Ff56ao59qwMuMrlAAAoOJwPoKZCIVCymS52znFu+dhRvc9hFYq3jM+7DkfvltjiveMGP85MZgCA3EAAAAAAAJUmQPxXEYZONWldB3rVQZGcspU8jdTSu+xLqXrVEoZvecoqDR2zXA0k1YWzfdZhSuLAADg5zgfwcyFtjcrF9+vU5K7W5UzH9Qpdj/EDBQeKN7a8n+zvrx/J4a3Brutw46p0BEHAAAAACBAFTIQt9ksmU/3KC3nxpX4jialaXeVMn48oUQPpJWC/7+hY3uUntGYUv92s9L03JjSsSWqHLnuKKgUtl3l7znKQgmtiCgTxvLKjOfsAACACsL5CGbDetW1R/uVK593Kg2bQsqMjQwpZ9xPvRTVbkko3kL9s1qsvwLREQcAAAAAIEAVMRDPnm1X+td3KN1vJ5V4JKyE1ySUpr1NSu7YNqVlf5vSu+ag0vpyXAnfTyvtu/YofTdzSvq7rIJKYbOkstfcbczNQomuq1EmjLjblBv/QjQAAMBPcD6CINkdGOkvu5WJVfo3NSvN22MKpkdHHAAAAACAAJX3QPx2r9KeqVXadkSUKa1YafH1DoWVpldiijdrQjMn8mNKNucoTqRBadgSVVAp7Irgo0uBAAAAQeN8BAG6fUbp+m1OcZxqpflwq1K71lEwPTriAAAAAAAEqKwH4pnzaaXmjRplutX78n8eU4oi25NKYpWjTFjfpFz8y7gyfuuM0rQhpMzY/bySz0/Kfffv4gYAAAAAnjxvHays03e4XUk51UrT5z1K566YgpmjIw4AAAAAQIDKdCBuc2WiW9uVxmdDynRGR/qVop3VVcrE3PDJVoWV8CpHmdadAaXt1W3Kno9TymBmWBke6lc6XooqT9e2KQO3Cwoqw4OHFgAAgCeF8xEYG1dlftuoNJ6OKcVOePfuhDLleAlToiMOAAAAAECAlv3o8j+vYPbs795fPa2653Kt6slbF1Wb1qvMXSGt0h5rUc1/Zr/u3jXFCu73BlT2/EO9am+kSbU/c1K17jELvy8ly5cvV7169arq5s2bVcuHbTd9dbbdNJ5XcZx9tt2Mn7Dt6HHrEvySoQ+XqdYcUnGcTZ0qw5lW1YQ+ouzc7VOpf6pRdcBpVr043q1aO9sNCWXGlkLue9WezNF4TsVp/nJctXsXG0hJyQ+p9P5+UHX2j2S2eZi1b9epxufahrp+RGVZdbsqx5tSxfnIQkilUqqNjXYcHh+3/Wuly1+2/UPtr2z8UtXXq9r5WlyVLvjc0REHAAAAACBAdMQ9kztRmzpUB4cOqlbP91LP5CvOjt/h/rPf4V6j8hO/3Plo+MJWdD/zSmm0xMu/I27v08Ab9j7Vn1bhCjTmho44HouOeFn52c/7bC3Q/oGOeJngfGQh0BH/WwV//5B82e7cSf7B9jcd21kZfaHQEQcAAAAAIEAMxF2F0WHFuyLtJbK9WkmEHGXeNjUoFw83KU2HG5TEGvf7/6wb7vE632PO2C33oxv3b6SsXhVSsFTY+xKLWxZLZEtc8a4/cg0SAMrA2jqld3xc8Tpvs0uHkgw7Ciod5yNYQHf6lKa3hpXGS/2K1wl/fDfcW+0i74x+m1NsrXU8DgNxAAAAAAACxEDclbl+RimqSWxUvN7zY/vP99JKz4WsMqVQTKn9zUnl5G+SypRXFEfc7+vmzIijRLa2KU1bwwqWlvjzjcqEoVHF2yIes1X8Am+OV87Jfue+zk1RVSKueO887z4AlAM7wwiHw/PKtOcpqCicj2Be7gwoe/anleTpM0rzppAyrfyg0vP5sEJHfHoMxAEAAAAACFCZDsTtGkz2eloZup1Xfi6jDA7kFMdJKslERJlO9kKPJRRV5s3vsB/Z16bkd7QqvZ9bFmzOOhZUaEutctDdZLw4I1llzN3kvMycrQ2QveZuW24cx1vltNap2xJTAAAApsL5CObk/pBy5IA7BnGTPN6tNG0KKTN20x1XuRl+Jqpw58T06IgDAAAAABCgZeX4HPHsqZ2qT79pzwN0HHve4ZUH9vzDZPHizkiXSlWiTTUz1ddN5l05ch354IZqw1F7LnhsxheNRvWxb6/9+emCPacwm7Hn9KXDNr/n4ln7e9SuVSk55f8c8b+V+bhGteo92z5av3qg2rl9hhvGpO0x9P4V1dRR704NriqWPZ4jjsfiOeJYBDxHvCxxPjI3Ffcc8Ye2ckDfm/Wq6S3289+wXmUW7HaLoY/tvCW728Y5J1/muDQdOuIAAAAAAASozDritjZf+sBK1W3HVJzY2xdVhz/x5rh4V/L8K0D7e1SdhL2uda9dwem4ZVf+miZfESpeOdpvV5AfvGedqqYNM26Fz0j2fItqY12/6sp3e1XPHLe///Sz15eGSuuIOwVvzQHHObK1SrXd8TsLQ9N1Fvzt6g27gt14y65MXjzrd0LXqaBs2f4nd9Z+7qMN9vNe/Ek/mLbto2Prwu5nUFoK/h0TLf4dExNbyW/seJU9bJ0qthLMyMNiB8uONzUH0qqOU6ePJ7N2/tHE8ac0cT4yJ5XTEZ/0Pp+2O67mz7aszsywausmFTwGHXEAAAAAAAK0rBzniBdGrNPduM/mXCc/sDnc8VV2BThz2q78hg/YFcKmDSpOxr8yXPuFXdHp+sg6DJG8dcoHLtjrk4fsimLdusXqPViHLPWOdfZ3fqriVB+1K0yD7099LXMpqbiOeFHerkT37LXtqaNgc2YGPrdavca2m8I9+7qBw/b7rXdse+v9pEOVTni58deWWGZXoP0ZmXPHXM6yNPThMtWaQyrzQGcCrp+tPTFP++wOw/ETxTsMsaRxPjIrldIRz52z/3/RV23/sHBsvNX/55OqdWtU8Bh0xAEAAAAACFBZdsQnPPTnXt62K31Zx559mFhvcy9DK1R+7r7NlRj93lZFL0Rsjk18nV37nX0f3P4e+fv2yvAqlWnlztoVzGhD8Rq2Xam8+Bd/rs4Mv8+TUrEd8UnyN+0OjNRl2w7HbHNw2fYQfd46C7VbbfukwwAAABYa5yOPV3GrpuOJoyMOAAAAAECAyrsj/sRZZ33gDZurV++vSpg8YZ32K/viqlPJX7BVlFe/5K/u7jToY//YGdW6Jb58Oh1xAAAAlAI64ggaHXEAAAAAAALEQHxRjSmjl3OKPRd45m3s8dyoMuHFKiXmfgsvAAAAAIDSw0AcAAAAAIAAMUc8AJmP7bnBjT/Yk4MHj0/z/M2CrWZ5ZKut1t5+x+aSt35uz0Xv3FEa61gyRxwAAAClgDniCBodcQAAAAAAAkRHPBB5fcycalNtP6fiJF+vU61JWOc7UrCOd98he154dzap2vY7WzW9dXNpPdGRjjgAAABKAR1xBI2OOAAAAAAAAaIj/iQ8LKjkbttc8BtjD1SLVsesQx5fZx3wkD6WHjriAAAAKAV0xBE0OuIAAAAAAASIjjgWDR1xAAAAlAI64ggaHXEAAAAAAALEQBwAAAAAgAAxEAcAAAAAIEAMxAEAAAAACBADcQAAAAAAAsRAHAAAAACAADEQBwAAAAAgQAzEAQAAAAAIEANxAAAAAAACxEAci+bf//t/ryxbtkwBAAAAlqK/+7u/U9asWaMAi42BOAAAAAAAAWIgjkXzf/7P/1F+/PFHBQAAAFiK/uVf/kW5d++eAiw2BuIAAAAAAASIgTgAAAAAAAFiIA4AAAAAQIAYiAMAAAAAECAG4gAAAAAABIiBOAAAAAAAAWIgDgAAAABAgJb9yAOesUiWL1+uevXqVdXNmzerVryHOZXMiIoTfz6iGtJHIK+P2etjqqtfjKuG9RGVp6CP+ZsZ1eGxB6pFK6NVqtUb2ELwC3K23WQe2n4ksZYjTUUr2PFldGRY9dHuZKU+Rp+rVo2vUak4qVRKtbGxUXV8fFy1bCz4/sDfnvzzlejz/vnKCpUZK9y1v1c2lFCtpO2PjjgAAAAAAAGiI45FQ0f8b+VH+lQ73mtV7RpvUx3O2K/tOiAqVeFuWrXnvT2qbedqVS+Od6vW0vCsKIWbtr9o39+rmt/RpNr0im0X8ZB1IAZPt6u2fKbitJ47o9q8ic5nRXpoHarMuQ7Vtve6VMcPWAd0+F2ONJXF7qgZPevvJ35v20ftW7Y/qdthHcyVuUHVM4daVHscOy/p/7xZNbFKpeyVXUd80fcHQ/p4ZFmNartjd3jGd9Wr1m2Jqa7Wx5/486hK6tJF1fQq+/qLZ/3znXUqFYGOOAAAAAAAAaIjjkVTaR3x/HXrXPVesyuQj6742ZXm0FPW0kxdsiuIzqZOFTriFeK2XWnvOm/bhfOXrMrgZeuEj66OqoYu2a8zjnUi6IhXlsL1I6rJ6n7VqgGr3S9bZ2Eqj15n20vVl7adde9iwykvdnwZOmXHm8F7Ks7YqO1fUt/YnRCxVf6vr6s4ieN0xCuLdcKHPkyq1gzYWhL9523/UDdlx3HS607Y6y5+5x+Hynzubul1xJ/0/mByR3x2IrsOqvYctVfWbai8O7noiAMAAAAAECA64lg0ldYRL676OHjLrqCujG5Uja+zOTPhEetYLav2rxnSEa8s96xDmf7O5vY6q63DWbXeajhvc4Lrn7Ir8QN0xCuM7T+6qq0D1bb6pOqNlM3ltJmcj2OdkYE3bTZe/Sm2n/JkHcvct3an1Y2/+Ktdx20LiUXsjc58uEy15pAKHfFKM2JzgWsSthbN6s9uqF58a/o9idwbUNnzDzZ3t3efzeUdP2FrVJTr7qT0OuJPen/gd8QTNgf9xjP27zV0zn7f7vvz2HlO9e461cZd9u/buMv+/Nmusl5O6IgDAAAAABAgOuJYNKyaPok/h5OOOH7RXTrilSx/3lbLX11nc/2qP7EO1uDbM+xg+fIXbNXj1S/1qCb9TtiVmXbCUBaG6IhXqMl3xthzwbu/s45p87MqM2DfJ7Xfvs/O39mc8ZOjV1SbNqiUnXJ9jvji7Q+KHXHbvmo5n501OuIAAAAAAASIgTgAAE9MTkmd7VUcPYc14lStjyqzFY5GFfsujpM+kVK8Geg2Cx1A2bqbUs6cchQnUqXE1jrKzHm3YIWd6FMRxd2TKD2XMgqAhcFAHAAAAACAADEQBwDgSSncUIbPOYrjeF3wqBOLhpVZi8QU76muerLrSFoZvu1+fzcAyldhdFjx1jzXuuf+/sDblcxldxJdV6MUZS4PK95q2I9WxAYwVwzEAQAAAAAIUGUOxHMZZeBUl9J1rFcZGMkpU8nfTCm9x7qUrlMpZfSeowAAMCs33eORG5uBuRi8VYDd49QPBQVA+Rr9Pq0smkujStbdlXgBMD90xAEAAAAACFCFDMS9y3YFJ/PpHqXl3LgS39GkNO2uUsaPJ5TogbRS8P83dGyP0jMaU+rfblaanhtTOrZElSPXHQUAgBkpuMcnNwu2qvmKkOJ+VIoK992jmRsA5atwP6MsGH9/8oidT/u7LWAS7/nzeSd7qVdp29+o7Hl1p7LzJUv9/l4l4365l0pGRxwAAAAAgABVxEA8e7Zd6V/foXS/nVTikbASXpNQmvY2Kblj25SW/W1K75qDSuvLcSV8P62079qj9N3MKenvsgoAADOR++GGsmAiUWWj+6mXosHbWQVAOfLWN8o5Y7ccZaFEntqoPDKojN5xFED8p3O0721TUqGdSseJM8rJLy4qF7+0dFanldrVTystF3JKJaIjDgAAAABAgMp7IH67V2nP1CptOyLKlFastPh6h8JK0ysxZWLOXX5MyeYcxYk0KA1bogoAADPysGABgHli7jaeiEhYafzgpNK8NaJMjJsmib3eo/TszlpeSihtXxeUSkJHHAAAAACAAJX1QDxzPq3UvFGjhN3f8zKV/J/HlKLI9qSSWOUoE9Y3KRf/Mq6M3zqjNG0IKXNVyOct3uf2WwAAAACwxFQrrbd6lYZ1jjI9G5HVvtaqFNc46GroUhbsKSIlgI44AAAAAAABKtOBuPWUo1vblcZnQ8p0Rkf6laKd1VXKVHMcnFVhJbzKUWarcG9USR2rVzaujitd3zoKAABz8cAPAMzZQ3cv4gV4jNCqkDJboWfcMZabOvdzL06uXTnzdUGpBHTEAQAAAAAIUJkOxK2HHXk+rkw3N9xxvGerZp0b13KK49Qq1c+FlfmzuQ+p97Yp235Vr7R9Mqhkbg0o9rcAAFSKyFPuccrNgrnrHkXcjLqfeimqWhdTAJQj74lAESe2wVEWSu6HUeWRKiW21v1z3ADzssLPJKlvR5VKQEccAAAAAIAAMRAHAAAAACBADMQ9d4eU1GVHcTbVKBvXOsr82S1DtcevKFe+6le6DzcpyaccBQBQYUIrFTtKLJ7QCguA8hVaGVEWj039ZH9S4R7mlPSpLqXn/KiyUI9fHs2OKXn3cy/ljIE4AAAAAAABYiDuKowOKwPu514i26uVRMhRAABYFGvjStL91MvCq1bisbACoHxF1yeVRfOiu79y4+1K2J1UruzpJmXbm21KS91Gpe1CXpmvyApLJWAgDgAAAABAgBiIuzLXzyhFNYmNis2EeYx7aaXnQlYBAGBWIgklud1R3COSkv0hr8ya//iy4h1exTVP4msdBUD5iiSSysQdNiPu/sDNmLsr8TJb2dsDSlFiS1yJup97QWXK58eUR+zOq/AqR5mvqkRc8W66KPcbLxiIAwAAAAAQoDIdiNu6fdnraWXodl75Oes8DA7kFLt+mHSSiYgyneyFHksoqgAAMDsxJflarVI0eDurzFbuhxtKUWJ7rVIVdhQAZcybH+6mYYejuHsSZfSOo8ycd06cc8ZuOYq7J1GSO6qUSuhUYmrxZ5NK8jf9ypXMgNKxNazM2B33WOVm4g4uxzsG1jp11TGlEtARBwAAAAAgQGU5EM+eqleert6m1DzToaQLjjJhJK2cGXGU4hW/+DpHmdL9IaUvU6s0bwkpAADMRWxXs9IccZTMhWFl1P1vXqbn3fWVdwYv9SlOpFZpfjOp0MECKoHdYVO/r1mJOBkl9c2oMmP3BpXUaUeJuPsmL01bwwoqW2hLrVJ9dlRZuSmizJzduTz0dUopqn6/Vanf4CiVgI44AAAAAAABWvajy/+8DFi7O31gpeq2YypO7O2LqsOf2Py7sGPz7vr296g6CXtd6167Wthx64pq03qVRx4WX3dE9cF73apNG+bXDR/6cJlqzSG7mtTxja1EePB5lZK1fPly1atXr6pu3rxZteI8tPUJhj6uV605kFZ1nDp9PJntV2163F0YKGO2/8mdbVGNNvSqOo7tDw6mbb/TsZW7bipB7lyjauJV20/Uf2nHpe5dj+9CFa7bcSlZbcel1cety9D/rnen1zRPAEH5uDek0tVQo9p2WcVxXjmp8qe+JtVYhTyjt3J5c7wdZ+AN+/mvv2znHxe/s/1D7RqVX2DHo6EP7VnkNSdWq3ZesvOU1k3lvSdJpWy/2dho++Hx8XHVkrXI+4PC5TbVjeft+w+esPPa6Xrj+T/a8ap2S7tq7hXbLvs/b1ZNLMDK66WCjjgAAAAAAAEqs464KYxYp7txn7dapOMkP7ArPvFV1pnMnLZOQ/hAp2qTPw8h43csa7+wK4hdH9kVwUjeOhIDF+z1yUOtqnXrFubKIB3xMnG3T6X+KbuS+ujJm3O0z+7kGD9RvJMDpc2uTB9ZZleO7TrwPGyy/ddwxvZHttdCuciet07Dnv12HIufsDslOnfFVUN+5yp7rUu1pcH2F9GP7PjXudu2CPYb5Sl31s5Xog3zPtJI85fW+ZvuzguUGP9OzoEDe1Sbh2z/0XPKjh91xTs679vXpT+1O7Mav7QnAXV86p8nP18Z20WpdsSf9P4ge8E/Xn1g21Ht0Q7VxmrbjkIFG9cMnrYzn5YD3lOr3POWw7Z9dbxrnfR4BXXCi+iIAwAAAAAQoLLsiE946M+9vG1XXrJaTdJxEuut8xyaak7EfZtbM/q9PYu1EKlSja+zK0MLPUOGjjgA4BcV7HiUuWQd7/RtuzNrwho7riV3WEchMd3kPAAVq3DXzodTl+3O0Ow9lQlh7znkrp277I6aSIWtJVB2c8SD5h+vhs7bmgKDd20cVhRaa3dk1Gyx7SyxltVL6IgDAAAAABCg8u6Ilwg64gAAAMCTQ0ccQaMjDgAAAABAgBiIAwAAAAAQIAbiAAAAAAAEiIH4UvDPfhxvtcGc8+AvjgIAAAAAKD8MxAEAAAAACBCrpgco8+k21bYLKo7z0FZHv/H1qKo9fc8VsefsJZ+LqhafXF531J4j27xJZclj1XQAAACUAlZNR9DoiAMAAAAAECA64lg0dMQBAABQCuiII2h0xAEAAAAACBADcQAAAAAAAsRAHAAAAACAADEQBwAAAAAgQAzEAQAAAAAIEANxAAAAAAACxEAcAAAAAIAAMRAHAAAAACBADMQBAAAAAAgQA3EAAAAAAALEQBwAAAAAgAAxEMeiWbFihQIAAACUguXLlyvAYmMgDgAAAABAgBiIY9E8fPhQAQAAAErBX//6VwVYbAzEAQAAAAAIEANxAAAAAAACxEAcAAAAAIAAMRAHAAAAACBADMQBAAAAAAgQA3EAAAAAAALEQBwAAAAAgAAt+9Hlfw4sqOXLl6tevXpVdfPmzaoV535WJfON1XF99KzWx43VCdVISAWVZsrtY6U+Rp+z7SO+hg2kMhX0MX8zozo89kC1aGW0SrV6Q1gVla1wx7aTweyjPYms3qhSsymiyt4EJq+P2etjqqtfjKtW6t4klUqpNjY2qo6PT/o5KnU52z9kHtr7nFi7SHuC+zmV0e9vqD46bNl5b+wFO6+JrVKpaHTEAQAAAAAIEB1xLJrK7YjbFeahY02qTddiqq377Nc7q6OqD272q/Z8cEQ1s6lb9eTxWlV7FcrOvSGVrgPtqqNrGlRrd1jHKh61K9Rjo2nVngNtqgNOnWr3uTOqzZvoaZWzws0+1fb9var5Hf7+5BXbP8RD1sEaPG3bUctnKk4r20dlKe5P9tv2kV7bqtq8d6dqTcRaUaPne1TbP7KOWOL4SdXOXRxpKlHhrn98eW+Pats5269cHLfzkNoKbYmXXUf8oZ2PZs51qLa916U6fmBYdfhd60zP20PrgKd+26zaO1ajWr/Lv6Mvap3w8bFR1aHT9vc5k7ftrvNEp2rtOpWKQkccAAAAAIAA0RHHoqm8jrjN8e17w64ENt6zTubwF9ahSEw5F2bS6275rxvyX6ePKHn3rQPRvtdqzUd2RXjaK8B3rDNaH7Mr9AOOzfFs/tKuLHfvYm5wOSlctztkktV2x0zVgNXulx/fuXz0OutoVbF9lDd/v9BYbfuF/HvW4ep/344YU94PMel1Wb8zNrhQnTEsDbets9t13vYDzl/sPGPwsh1/RlfbnXmhS/brjGOdTDripdYR9+/APGV3Tg3eU3HGRu3/R+ob2xPEVvm/vq7iJI4vVEfcP399085bs2/a3+Pg5pltQNkLLaqNe207bbx8RbX5WZWKQEccAAAAAIAA0RHHoqm0jnjev7IXf2lQtfEru9LcuX2Gl5ZHbO5OVcKuLDoLdsUSS0HmmK1uXfWZXaFu2mvvd+f71apTbyV2xTu13+ZY7fydisvumLjywOZWJZkSXOJs7m5XtW0nbattDu+NlM39tTVuH8e2k4E3bTupP0WHqzwV9we2Rewcss7dlcv+fmCNyrQm9kcHVJzOjB1vWjepoNTdsw5j+jtbS8JZbXfUVK23Gs77d1o9VbzTiv2Fp/Q64vZUjdy3dt554y/+01bitn+IReyNzHy4TLXmkMqCdcRzZ+tV6+7YWiXpX09zR87P2N8/fcC2y205W8ti7A+2Jo7d/1fe6IgDAAAAABAgOuJYNJXTEfc7WQm/k5XzryyPzvbK8qTvM0LHszzYaqJ9r9qcvMZzKi671tvxjXUsDj6vMqWhSVe0i6sH0MkqD/nztnrx6jqbY1f9iT1/dfDt6XvhP1W8M2f1S9ZZSH5m3+fKW7P7PliiJt05Nfb2RdXRT2z14RkfbiZ9n8y7NjfzwfGkKoebMneXjvgvKdfniE8+f5h/R9zmhvf+6mnVzNv27zTnNUn+aB31ZVvsjp9K2g7piAMAAAAAECAG4sB8XU8pnSOO4qyLK7Gwo8yc1zGNOrHn3Ne5cRyvY9HlDFzOKyhV3kYQduKJamVCJKnEI44ye17PKuSEVrgf3aBUeXdM5JzU2V7F7pSIOFXro8pshaNRxb6L46RPpBTvfhu75walbOhCp1J8P2PPxBTby8xCJKZ490noXomPB5S0e6jxAgBTs+NW7rL70U3/91llzlastFQgBuIAAAAAAASIgTgwT9nv0opdH3QlYor1t2fDeljRZ9zXuSnquTaseGtL2vqSKC3WuU78elB5MD6ujN86o9StdZSp2ZaV/c7b1ux35MWdSs16R0GJKtxQhs85ysSdMdGwMmt+p7PG/dSLM5JWhm+7398NSpXXbco6N67llKKqdVFl1iLua9xsdD/14h5plHSmoADA1Oy8pnjrVe6DZqXtck6ZreJ5tLMjocz+jtLSxUAcAAAAAIAAVeZAPJdRBk51KV3HepWBkZwylfzNlNJ7rEvpOpVSRu85CiqNN5Eu74xm0sqi8ebduPHW1vafCIoSFgqHlfAqR5nWvUElfc5RipegG95pUBIhR0GJuukej9x4e5DF2Yt4qwC7x6kfCgpKVH5UyVx2lMUyemdMAYCpeautJ5za9yyOM6R0/Sqq1LwzoGQfOsqU7vQp7YceKK3v1ysTa1dUADriAAAAAAAEqEIG4ja7NvPpHqXl3LgS39GkNO2uUsaPJ5TogbRS8P83dGyP0jMaU+rfblaanhtTOrZElSPXHQWVwrar/D1HWSihFRFlwlhesf47KodtX0O/61R6nYiSfLdX6XgtpqDEFdz32U1xFex5WxFS/Bl8Ewr33aOZG5So++7e383C3RnlbyH+HM+isbz7Z7gBgOkkdncoze4+xEvR0Kf1ytNPbVPaL+eUCffSSvubvUr0xBmlc2tYqSR0xAEAAAAACNCyH13+52Ure7ZNtTdstWPHTy7b/NQf21WWbTmi2rSvWdV5oVWle7d1n0L3vDl3jtPy3E7VHv8iT/KzP6leeYsulWf58uWqV69eVd28ebNq+bD+1ZFolWp78WLfvosq4ydqVWd7bS93tl412jCg6ji2HV4c71atrayLhRWj4HehCt5cUFf/J7Y/ar9gb3jL0Q7V5pdt5hSbQXnInWtUjb7ap2pz7xynMzOs2rpJZRa8uXrufmmZ1kx3bCtyv+tx+37D79r3R4n51s5Loi/YO1o83DR/Oa7avWvWRxp97HvVVlxv1PoTrnkev1Ai7tr+pv4p2/8McJ4hqZSd3zc22r/L+Lj9fJW6oQ+XqdYcUln448EdO19tec3OX3umuDs4tsP2K/GwHZ+aPrDtru7Zyt3T0BEHAAAAACBA5T0Qv92rtGdqlbYdEWVKK1ZafL1DYaXplZgyMecuP6Zkc47iRBqUhi1RZUqFvFJ46JbHrSI4SSFfULDU2Bxe/zHPwCx5HfC8M3SqS+n5fa/S+/kZZeDyDSW2pUaJx6KKd92YLlUZeejuQ7wAj+OdM7jhcANgyVlXp3RfG1P698WVybKXUkrq67QyeGtcqWR0xAEAAAAACFBZD8Qz59NKzRs1ynSdpPyfx5SiyPakkljlKBPWNykX/zKujN86ozRtCClTGTq2Wln5r6LKxmS90nKoS+nynk3upu3NbUrNM1Gl6kBKybrfwwuAcmB7pOrdrUrr+34OdysXvxtTzmwdVpoTq5XoS11K5r67j3MDAADwxNwfVfoONClnwh3K4NAZpXVrRJmQSytddU8r0Zd6FW+FHFslp3LQEQcAAAAAIEBlOhC3ubvRre1K47MhZTqjI/1K0c7qKmVibvhkq8JKeJWjzJzN8hr9ekDp+bBNaTtgOfNNSKk5nFYGP6tTvLXYWY+9/D14aAE8sdd7lN59ESV3oU2p2t6lLNjzp1FWHvgBfpm/hfhzzwFg1u6klJbtTUr6uQ7lzEd1SvWLDUpnelQZPOqOZ9xMHs/kLuxRNtb2KpV0BzAdcQAAAAAAAlSmA3HrYUeejyvTzQ236y5Z58a1nOI43nPuap3q58LKQmv4w58U7/mEf5sHyth3F5XO1+LK9H9/PBnefJeIE3vZURZK7s6AMmFTTIm6G4EXVBrbAyRfblQmXG9Tmj7OKChNkafc45SbBXPXPZ65mTzXrmpdTEGJirjvnZs691Mv82d35mXPu2c/booSsajCeQeAqdm9eF2v7VSGa7uU7t0J5ed3Etsepfr9fuVPY1eUjl0RZcKlPUr7uZxSCeiIAwAAAAAQIAbinrtDSuqyozibapSNax1lwYVWKuFweFJCCkqF98z5lU5olft2zmqNAGD2Qs9UKZM7Ypn3Uoq7F1NQYvzjgd1fs3hCKywoUSH33MDNzztNC8zbRthOADxG7myH0nanwbK7Wpnx/imSVA5+OahcfLtaKeo7l1bsvp3yxkAcAAAAAIAAMRB3FUaHFW9WrpfI9molEXIU4Jf5c8TjlsUS2RJXJq8yiRLhryra9tJGZWP1HqX3pqPM2JSdqjFlPO8oKDFr40rS/dTLwvO6DNVOPBZWUKL8OeIb3UONl4Vnx7OaDTEFAH7OetSDlwYUZ8tOpWato8yendnWHu1SOjY5inPLPa9xY2c35Y2BOAAAAAAAAWIg7spcP6MU1SQ2KtPOdbiXVnouZJWZKtxJKz3vNCr1e9uUrkMtys5ko3Lk/KhiT0XHUhV/vlGZMDSqzP45iP4qtt+5r3NTVJWIK6xiW5oyZ5uUrgujyuj1XmXPJynFa2LTyK5gkYSS3O4oxdVosz/klVnzV00v3uFVXPMkvtbdVy3GmicIiLeyftypft1RigZvZ5VZ87eTYfdTL+6RRkk8E1YAYCoFd1DixVnj7ivcTDtemk6oWknuco+DbioJA3EAAAAAAAJUpgNx6yFnr6eVodt55ees8zA4kFNshl7SSSYiynSyF3osoagyU5lvxpWaw2eU/s86ldbD3crFgUZlfP9GZeObA0olrB5YikJbapWD7ibjxRnJKmPuJudl5mw2TPaau225KT7Pvm5LTEF5qQ6HlBm7524fbrze19/0v3YklHjYUVBqbI5c8rVapWiunc7cDzeUosT2WqXK3Ta8oFRZz6lmx0HFZnS75xO3xhTvUDOrw03O3bbcDLqfenF21CnJ9e5ZkBsA+DnvIBJ2Iuvc/Y+bud8B+niJ7QnFjo7ljY44AAAAAAABWvajy/+8bGRP7VR9+s2UquO06uOVB52qyWITaqRLpSrRppqZ6usmu29P6z3ygXUdGo42qcama24V7Hp1YYW1JaZ7pmv299tUn96bVm34wtYOPPPK9N36pWD58uWqV69eVd28ebNqucp8XKNa9Z5tH61fPVDt3D7Druek7TH0/hXV1FFbS5lmVmkqXD+iWvO+XS9ueq9ZtX5XQjUyw2f2/ny/Zs/cbE3brzu3soWUtHv2PrY8Z+9zT/yk6o20HV+8GcKPZ8eXgTdXq9Zfsu76ya8vqjZtUEHJ8+7kc5yuam9Ot+O0XZ/hecskmWP2+qoD9gL2IxXmbp9K/VO2vs2AY8eli+PdqrUVuhmkUvZz0Nho/y7j4+OqpW7ow2WqNYdUnMRxWxli+F07D5mtwtftqrFkr2pj2s5vOrfOcAc02X0b57Q9Y+fB0Uv9qq2b5vj9SggdcQAAAAAAAlRmHXFbWzx9YKXqtmMqTuxt6wgMf2IdgrA/k6Fvf4+qk7DXte4dVe24ZZ3IpsnzpB4WX2cdrgfv2ZXDpg2Lc8WmcNk6oyt/ZVeInB3WIflTyu/A6+PSVWkdcadgnYojW63T0O5Yh2J4yDoWU1939LerN6yj3nirXvXiWf/KtDcPByXM9i9DH9qdDa1/6VAd8O90mPb+lsmd0py9ova4/X6/f0W7/K8bV4bcOevEJF61DkH9l3Zc6t71+BZV8c6LZLXtN1azfZS1wrf++/2CdaYcv8M1OF2H6451QhurbTvLvmLnR2f88yNWIyl3djzKnW1RjTZYR7N4JDrodzY75trZLHFl1xG/Z3dodjXY+WXbZRXHecUfT/T544kZ3pn3yN+e19ScsD3HmSF7AlXDTM9bi+OqN+38pv8Fe/2ZtyvnuEVHHAAAAACAAC0rxznihRHrdDfu01qgTvIDf47dKptDlzltnYbwAetYFufOZT62TmTtF3Ylpusjv2OVt47EwAV7ffKQdTjr1s3sWk3hpp7m6vResCtrVbvt71O9RmVqfodjWbV/xTtinbThsYOq01z3fuIqriNelLfOeM9e2546Cjb3auBzq9VrbLsp3LOvGzhsv996x7a33k/sfaYTXm5s/zF61t7flo/sSnDiPdsfNO2wK9bRkF1pHhuyOVJdh61z0XvPOlath22/1fGazRqm01mesuftjqg9++04Fj9hnavOXcX33baT7DW7Y6qlwTqb0Y/s+Ne5244QzPgtb/lv7f1ues32K4X9dr5xZp+tIRH29yf5Efv99n12/pLdattT92G/Ez7rjhiWNn8to2V2XPHPIuduk3+HX8a2n6V+/jlXpdoRz521881og/2cz1fzl/b/e7o7sYqd8dGztoW1vGd/fuh1G6e0+p3uqoh/ppK3857Br63z3fOZ/brmkG1fB3dU3j05dMQBAAAAAAhQWXbEJzy0KzW529Z5zPqznxLrbS7MlKuW37endY9+b6uiFyI25ze+zq4MzbwDZd9n4A17xnj9aRUn8pHN5Rr79TTXFP9oV5iWbbHOuPOizf27MWQd1OlX0X2yKrYjPkn+pt2Bkbps2+GYbZYu25Kiz1tHonarbZ90sCrEQ9s/ZC7b9jH4vT0VYWLzmNg+7E6J2mr7iZ/No8dRBgr+dnLJOt7p23ZnxYQ1tt9Ies+BdiVK46EaWGgP/TturllHL/3tpP1JyM5DEjvseJNcz5EGmKxcV00PTHE/9K1/XnPNOt6PjlqTzmu2+Oc1FXxHDh1xAAAAAAACVN4d8SUi81u7Et00anP+eo7bHJvp5og/eo64deaTn9iVuiv+aoJLHR1xAAAAlAI64ggaHXEAAAAAAALEQDwAide6lPjdgqIpEo+b53l/SOk9kVYiW1uUjt0JBQAAAABQuhiIAwAAAAAQIOaIB6hw057b2bLb5qDE3rHnB9cmbNXbwqj9fucBey7o2HZ7Dl/vR/5z0EtskVPmiAMAAKAUMEccQaMjDgAAAABAgOiIPxH2ZM/8TXuu9PDYA1XHWa2PsRdsHnhslUrJoiMOAACAUkBHHEGjIw4AAAAAQIDoiGPR0BEHAABAKaAjjqDREQcAAAAAIEAMxAEAAAAACBADcQAAAAAAAsRAHAAAAACAADEQBwAAAAAgQAzEAQAAAAAIEANxAAAAAAACxEAcAAAAAIAAMRAHAAAAACBAy350+Z/P2D//8z+r/uM//qMq8Ev+43/8j6p9fX2q//k//2dVAAAAYCn5X//rf6m2traq/u///b9VgZ8KhUKq/+bf/BvV+aAjDgAAAABAgObUEb906ZJqbW2tKgAAAAAA5aypqUn15MmTqvNBRxwAAAAAgADNqSP+T//0T6o//PCDKvBLdu3apfrf/tt/U/1P/+k/qQIAAABLybfffqt69OhR1S+++EIV+Kl/+2//rWo0GlWdDzriAAAAAAAEaE4dcWAmli9frnr16lXVzZs3qwIAAABLSSqVUm1sbFQdHx9XBRYLHXEAAAAAAALEQBwAAAAAgAAxEAcAAAAAIEAMxAEAAAAACBADcQAAAAAAAsRAHAAAAACAADEQBwAAAAAgQDxHHIuG54j77mdVMt9YffRUytX6uLE6oRoJqQC/qHBvVDXz3ZjqA3302HYUe8G2o9gqFZSNgj7mb2ZUh8cevfOeldEq1eoNYVVUqsdvJ87qmErNs1ZDK1RQaTgfeayKe474nQGVlg/s/2dzX5NqXB9nIq+Po9ftvCT6vL0yPMv9S+Gu7beyIdv+4mtUKgIdcQAAAAAAAkRHHIumcjvidoVw6JhdWWy6Zh2I1n32653VUdUHN/tVez44oprZ1K168nitqr0KFStvV4h79jarptYkVZMvbFSN3r+hOnipT7XnknU4YjtaVbtPdKrWrlNBiSnctPe1fX+van6Hvz95xfYP8ZB1IAZPt6u2fKbitJ47o9q8iVtsypt1wEfP2vvfft5+XfOybR+JuB1BogXbLwx+0aXa/rHtNza+a9sVx5tyx/nIbFRORzynjwNvWAe6/rs21eGMnT/Y787EkD4eWVaj2u5EVOO76lXrttiWY/db/MSf7Q6/1KWLqulV9vUXz9p2V0nnLXTEAQAAAAAIEB1xLJrK64hb56HvDbsy2HjPv8L4hX+Fccq5u5Ned8t/3dBsr0yiLNz3rzC/ah3t8GHrXDU///g5wNnTdgW/5g3rpOacatWOobTqwRfpkJaCwnXrSCWrrUNVNWC1++XH96Qevc46ClVfWsehexdzx8tR9tQe1SOO3THTuduOFFO/29YxHzpkx5maD+2OG+dF289wvCk3nI/MRaV0xHPn7P9f4lX/fGGTvx+Yd0d8diK7Dqr2HLVX1m2ovPMUOuIAAAAAAASIjjgWTaV1xPMXWlTjLw2qNn5lncjO7TPsSI3YHL6qhF2Bdo4Pqwy/S4+iMthcvtR+myuVfsU6oZ1bZ9rRtI5X+oB1Trcdszlgjt8xuzjuz72iQbpEWYeyq9pWQW9bfVL1Rsrmck6/iq1tPwNv2my8+lO872Xpnq1yvOcf7P0d9Odith+197lhg8rUJh1n/L64k/zM5o5feWvm6yVj6eJ8ZG7KviN+199/bLX9R+9t/zxhvh3xRIfqjWfs32vonP2+3V/hsfOS6t11qo277N+3cZf9SbNdZb2c0BEHAAAAACBAdMSxaCqnI+53shJ+Jyvnd6JGZ9uJmvR9RuzK5JUHdqUyyRTf8nbb5oLvfMauJNcO2dypxhftSvKMNyM6XiUpf97m/K6us+2g+hN/Vfy3Z/d+FTthq1/qUeV9LzP+WgDLqifNxnzd7qAZ+4N1nGzt4l9w1+aE1j9lHSnrj7n22erF4ydslWxuoChVnI/MR/l2xP077t6x84L8C7aHaHzD9ifz74jbnRe1s3496IgDAAAAABAgBuLAfF1PKZ0jjuKsiyuxsKPMnPc8z6gTe859nRvH8TqbXc7A5byC8pYfzSgpp1dpqX5aiX+QVrwZ4DYLfBobEor31HF78rhJX84o3oyw4uxxLAX2jqTOuu+7G+tlRpyq9VFltsLRqGLfxX3fT6QUr79VvDsCJWyte3xx0+C+uV6KquMxxTvkzKWbHVlhQYnjfAS/IH+hXelNtCoNz6xU8OQxEAcAAAAAIEAMxIF5yn6XViY6jYmYYteTZ8N6WNFn3Ne5Keq5NqzMuCOKkhQKhZTJcrdziteDmFEfIrRS8dbOtvWzfbfGFPejgiWicEMZPucoE52oaFiZtYi7/3HjPdVVT3YdSSvDt93v7wYlbm2dciY7rnhzWL2kf51QvD3IY6fv3s0q3oxOm9Vpx53kliplrh11LA2cj+Bv3Esp7acTSsfuuIKlg4E4AAAAAAABYiAOzJn1KEczaWXRfJ9V6GSWt9D2ZuXi+3VKcnercuaDOsX6EzNQeKB4a73+zXqvfmfEW4PdC5aImxnF24Mszl7EWwU45Yz+UFBQJkJhJRy2TNsJ92Wu9SsTHdMXW5SWHREFpYrzEfyU3bOQPt6rJA43KV4vnH740sJAHAAAAACAADEQB+bMrjjm7znKQgmtiCgTxvLKjOcIo0RZr7r2aL9y5fNOpWFTSJmxkSHljPupl6LaLQmFOaBLTMHdj7hZsFXNV7jbipvJHdLC/YKCCnWnT+k8nlGc9XVK9+9alepVjoJSxfkIHilc7lB6ou1K4wZHWXy2ZWQv9Spt+xuVPa/uVHa+ZKnf36tk3C/3UskYiAMAAAAAECAG4sCc2Syp7DVHWSjRdTXKhJGs4l+IBqbgzwn7sluZmAO6qVlp3h5TsLTkfrihLJhIVNnofuqlaPB2VkGZK7gHCTf5fE4ZvdSl1G9vVXK73H2DmyvX+pXmTSEFpY7zEbjup5WO30eV9rcSyuQ7pBac/3SO9r1tSiq0U+k4cUY5+cVF5eKXls7qtFK7+mml5UJOqUQMxAEAAAAACBADcWDOrAP5qPUIPEG3zyhdv80pjlOtNB9uVWrXOgqWmIfuPsQLMB+3U0rXp71K7+/PWM71K5n7VUqiOq5sDDsKygXnI5XN3v+hj/uU6AdNSiLkKIsu4u5M3DR+cFJp3hpRpurEx17vUXp2Zy0vJZS2rwtKJWEgDgAAAABAgBiIA0BJ8+b9Zp2+w+1KyqlWmj7vUTp3xRQAZWx9rdL6fuvfpPPzQeVPo+3K6s+2KdGVNUrLhawCoHQV/til9K5qVpo2hZTFZ3fetd7qVRrWOcr07Pktta+1KsVbOboaupQFe4pICWAgDgAAAABAgBiIA0vMg4cW4PFsTljmt41K4+mYUuyEd+9OKFPN0UJ5e+AHkHC1cvB3nUq1M6T0vFSjtFzIK8BPcT6yxN0fUro+DynNbyWUoI/7oVUhZbZCz1Qpde7nXpxcu3Lm64JSCRiIAwAAAAAQoGU/uvzPgQW1fPly1atXr6pu3rxZtXzYvLq+uqdVG8+rOM6+iyrjJ2pVZ7sw7dCHy1RrDqk4zqZOleGMN4/GcRL6iOBZt2joVK/q4D2VWYvtaFate3Z+16vzl9tVa3+VVq3qs79X52txVbrgJeKP9j4u23JEtfgT3pkZVm3dpDJzd/tU6p9qVB3QR8dpGhhXPfkyS2VXNjtu9f7Kjlt7Lqu4bL90cbxbtZbNpMRwPrIQUqmUamOj7T/Hx22/ufRYt3jowxbVwV32c9s603nh1+14s6zajj9P7H2d4ngVP2rHvxvvl/8ZLx1xAAAAAAACxEAcmLOVSmiVNz/GfgflzOZkZy+1KW0H5pZ0tqDMVeH6EaX2jYyS/OqM0v1aXPGuh9MNLyEhdz/iJuJ+6mWxhFZYUOm8JyjEnI0vOsojPUrvpZyCUsP5SCUpXO9SekPNSvOmkBKYh+4+wk36VJfSc35UsbOk+RvNjinefYjlvnIFA3EAAAAAAALEQByYM+thxeKWxRLZElesj4Enx97vus/GFW/u2FzSsT2szNqdPqXprWGl8VK/0rE9pkzNrimPfptTFuqKNRbI2riSdD/1svDsOa/xWFhBqbKf3Myne5Sa5zYqOz9MK7PuHP0rP5Nkc2MKSg3nI5Ukc7ld6T1QpaxctkxZNtNUtz+aH+4ZaVOq3P/m5dHXtigpd+fipSh7uknZ9mab0lK3UWm7kFfmK7LCUgkYiAMAAAAAECAG4sA8xZ9vVCYMjSreGqa2julMefPyck72O/d1boqqEnHF62XRz3ryQuGwEp5rQu77OJupXHcGlD3700ry9BllxnPC8oNKz+fDCh3xJSaSUJLbHcVxMkr2h7wya3fdvY4bb/VZrUC7qUaJr3X3VW5QonIppfOdXmXo+1EldahN6R1xFFQ2zkcqQ/VvflS8B1/NJWN9dcoEb9V0N8Puf/Py6Gu7Fe8pCj99kkI+P6Y8YndehVe528UCrFFQSdsZA3EAAAAAAALEQByYp9CWWuVgxFGckawylneUmfOuLo452WuO4jjecz9rnbotMQUV5v6QcuRAWkke71aaNoWUGbuZUYafiSqVcIW5tNhsy+RrtUrR4O2sMlu5H24oRYnttUqV+6Z7QZmJRJWZd6K8g1LeGXcPN14e8Z7Xm3CSm9xt0Q1KE+cjCEL82aSS/E2/ciUzoHRsDSszdsc9VrmZuIOruJ1Vu9uZm0rAQBwAAAAAgAAt+9GbBAAsguXLl6tevXpVdfPmzarlKvNxjWrVe0OqrV89UO3cPsPu5UiXSlWiTTX0/hXV1FFbS5lmVoV4aF3QvjfrVdNbOlUb1qvMgrU/hj5uVs3uHlU9+TJb0pJ0L6XS8txO1Z74SdUb6SbVuD4+jr3fA2+uVq2/ZN31k19fVG3aoIKSZc/27ns1qtq/oV+1+Q07PiTXz/DnupBWaY9tUz3iPzI8ssu2t/SXM93esJRxPjI3qZTthxsbbZ6996STcpQ7a+cX0QbrQzsb7DxjeLRV1bs/5rGK+5HnbPvaeeugqjdTfGZspZqhD207rTnkrY3ivr4Cz3vpiAMAAAAAECA64lg0ldYRdwp2Re/I1irVdse/wjg03RVGvwP6hl0ZbLxlVyovnu1WrV2ngrI3aTs47beq5s22vM7MsGrrJhUsUblz1olJvGodh/ov7U6G7l2P7w0Urh9RTVbbfmP1cevs9L9r7/9sFurHEnanT6Vx+xnV5Hn/jodnVaY1uVPqvGh3zHC8KTOcj8xJ+XfErROd+dTuvKp6x44zjmMrqJ+8ZXfaNM3wDrzCZbtjYuN5214GT9j3me5J9vk/2vGqdos9yzz3im1f/Z/b/iixACuvlwo64gAAAAAABIiOOBZNxXXEi/J2Jbpnr11J7ijYFb4B/0pf9RrrTRXu2dcNHLbfb71jc2J6P+lQpTNRWYqd0Oir1vFaODbns//PNge0bo0Klrjsees07Nk/qBo/0avauctm74b8zkb2ms3lbGmwzmj0ox7Vzt3W82JFgDKVs05W1zstqqmw/Zw3vWkdqdoNtlaAk7c7KlKf2XGl9bd2Z8zq12z76v3EOqTV7BfKE+cjs1JuHfGfzQWfLe/54q7hzOPvpMhe8I9XH9gdFbVHbbtprLY1LUIFe0TD4GnrgLccsO0tcdi+f8e7tt+KV1AnvIiOOAAAAAAAAaIjjkVTsR3xSfI3rXORumxXAMeskeWyK9HR521149qt9sxEOlgAJhRsrYDMJet4p29PehjwGttvJHdYRyEx3eQ8lKX8bZvznb5md1Bk76k8UtxOttrxJrGOVQMqEecjj1cpq6YvGv94NXTe5poP3p3YwCS01u7oqtlid1wk1rIfoiMOAAAAAECA6Ihj0dARBwAAQCmgI46g0REHAAAAACBADMQBAAAAAAgQA3EAAAAAAALEQBwAAAAAgAAxEAcAAAAAIEAMxAEAAAAACBADcQAAAAAAAsRAHAAAAACAADEQBwAAAAAgQAzEAQAAAAAIEANxAAAAAAACxEAcAAAAAIAAMRAHAAAAACBADMQBAAAAAAgQA3EAAAAAAALEQBwAAAAAgAAxEAcAAAAAIEAMxAEAAAAACBADcQAAAAAAArTsR5f/ObCg/u///b+qf//3f6+6YsUKVQAAAGAp+ed//mfV+/fvq65evVoVWCx0xAEAAAAACBAdcQAAAAAAAkRHHAAAAACAADEQBwAAAAAgQAzEAQAAAAAIEANxAAAAAAACxEAcAAAAAIAAMRAHAAAAACBADMQBAAAAAAgQA3EAAAAAAALEQBwAAAAAgMA4zv8Pmiy7Rb+MdUEAAAAASUVORK5CYII="
    }
   },
   "cell_type": "markdown",
   "id": "72b5e2fc-b39f-47e1-89b3-6f6394c8dd21",
   "metadata": {},
   "source": [
    "Das obige Tableau ist also wirklich eine Darstellung der Ecke $x = \\begin{pmatrix} 0 & 0 & 0 & 17 & 15 & 18 \\end{pmatrix} ^\\top$. Es zeigt uns auch an, dass diese Ecke keine optimale Basislösung ist und Zielfunktionswert $c^\\top x = 0$ besitzt. <br>\n",
    "\n",
    "Wir müssen nun eine benachbarte Ecke von $x$ finden. Wie oben beschrieben wollen wir sogar eine Nachbarecke finden, die den Zielfunktionwert am stärksten erhöht. <br>\n",
    "Diesen Übergang zwischen zwei Ecken im Polyeder realisieren wir rechentechnisch im Simplex-Tableau durch folgende Umformung:\n",
    "\n",
    "- <b>Wahl der Pivotspalte: </b> Wir betrachten die letzte Zeile $c' = \\begin{pmatrix} -3 & -5 & 0 & 0\\end{pmatrix}$ und wählen den Eintrag $c'_i$ mit $i = \\arg\\min\\{ |c'_i| \\mid c'_i <0 \\}$.In diesem Fall ist $i=1$.  Dieser Index gibt uns an, dass wir den $i.$ Koeffizienten unserer Basislösung erhöhen müssen, um den Zielfunktionswert zu optimieren. Dieser ist aktuell noch Null.\n",
    "Geometrisch bedeutet dies, dass wir wir an unserem Polyeder ausgehend von der Startecke in positive $x_i$-Richtung gehen müssen, um zur nächsten Ecke zu gelangen.\n",
    "\n",
    "<div>\n",
    "<img src=\"attachment:a3ea053f-25a2-437b-ab60-772fb7063b42.png\" width=\"300\"/>\n",
    "</div>\n",
    "\n",
    "Da wir den Koeffizienten $x_i$ erhöhen wollen, müssen wir dafür im Gegenzug einen anderen Koeffizienten verringern, da wir sonst evtl. die Nebenbedingungen verletzen. Welchen Koeffizienten genau wir dafür senken, entscheidet die\n",
    "\n",
    "- <b>Wahl der Pivotzeile: </b> Aus der $i.$ Spalte des Simplex-Tableaus wählen wir den $j.$ Eintrag, sodass $j = \\arg\\max \\left\\{ \\frac{a'_{ij}}{b'_j} \\right\\}$. In diesem Fall ist $j=2$. Das Element $a'_{ij}$ heißt dann <b>Pivotelement</b>.\n",
    "\n",
    "<div>\n",
    "<img src=\"attachment:863535c6-f4da-479d-bad3-63a1f743f6e0.png\" width=\"300\"/>\n",
    "</div>\n",
    "\n",
    "Mit diesen Informationen können wir unser Simplex-Tableau so transformieren, dass wir im Polyeder der zulässigen Lösung zu der benachbarten Ecke mit bestmöglichstem Zielfunktionswert gehen.\n",
    "Dafür führen nun folgende Rechenoperationen durch: \n",
    "\n",
    "- Wir normieren die Pivotzeile mit dem Faktor $\\frac{1}{a'_{ij}}$ und eliminieren durch Addition/Subtraktion alle restlichen Einträge in der Pivotspalte wie beim Gauß-Algorithmus.\n",
    "- Nur in der ganz linken Spalte wird diese Rechnung nicht durchgeführt. Hier bleiben alle Elemente gleich, nur der Eintrag der Pivotzeile wird auf $x_i$ gesetzt, da wir nach Wahl der Pivotzeile den $i.$ Koeffizienten der Basislösung erhöht haben.\n",
    "\n",
    "In unserem Beispiel erhalten wir nach diesen Schritten das folgende Simplex-Tableau. \n",
    "<div>\n",
    "<img src=\"attachment:e7f4be7c-e4c1-4976-a2bd-bcc1ea0c4a19.png\" width=\"300\"/>\n",
    "</div>\n",
    "\n",
    "Hier können wir wieder ablesen, zu welcher Ecke des Polyeders nun gegangen sind: Die rechte Spalte gibt uns die Information, dass wir uns an der Basislösung $x = \\begin{pmatrix} 15 & 0 & 2 & 0& 18 \\end{pmatrix}$ befinden. Unten rechts können wir wieder ablesen, dass $c^\\top x = 45$. Der Zielfunktionswert hat sich also schon deutlich verbessert, aber da wir in der letzten Zeile nach wie vor ein negatives Element stehen haben, ist die Basislösung immernoch nicht optimal. <br>\n",
    "\n",
    "Also müssen wir noch eine Iteration durchführen, d.h. noch eine Ecke weitergehen.\n"
   ]
  },
  {
   "attachments": {
    "6456d60f-7f2b-49d2-95b8-1dafb8c1ac40.png": {
     "image/png": "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"
    },
    "7f831a61-5cf8-47e1-b714-02fb844c4da2.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "id": "76837383-645f-4463-ba44-bd4e6958a27d",
   "metadata": {},
   "source": [
    "Wir wählen wie oben die Pivotspalte und -zeile, die uns das Pivotelement liefert.\n",
    "<div>\n",
    "<img src=\"attachment:6456d60f-7f2b-49d2-95b8-1dafb8c1ac40.png\" width=\"300\"/>\n",
    "</div>\n",
    "\n",
    "Die Pivotzeile ist bereits normiert. Wir können also direkt die restlichen Koeffizienten eliminieren und erhalten dann das folgende Simplextableau.\n",
    "\n",
    "<div>\n",
    "<img src=\"attachment:7f831a61-5cf8-47e1-b714-02fb844c4da2.png\" width=\"300\"/>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ca9576fa-dcda-4625-94be-3e713bba683d",
   "metadata": {},
   "source": [
    "Wir befinden uns nun an der Ecke $x= \\begin{pmatrix} 13 & 2 & 0 & 0 & 18 \\end{pmatrix}$. Dort lautet der Zielfunktionswert $c^\\top x = 49$. Da in der letzten Zeile kein negatives Element mehr steht, ist diese Lösung optimal."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "28d77b26-7baa-4608-afff-fb1fe7fa06ce",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "    \n",
    "### Aufgabe\n",
    "***\n",
    "Berechnen Sie mit dem Simplex-Algorithmus eine optimale Lösung des obigen Beispiels zur Pflanzendüngerproduktion. Interpretieren Sie das Ergebnis.    \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ccb09c2a-aef7-434e-9a27-0bdcd40eb019",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5dc1a3a3-56cd-41a3-b8b5-df03e5941236",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-danger\">\n",
    "    \n",
    "### Rückblick-Aufgabe\n",
    "***\n",
    "Wir haben uns ausführlich mit dem linearen Optimierungsproblem und einem Lösungsalgorithmus für dieses Problem beschäftigt. <br>\n",
    "Der erste Schritt der Modellierung bringt die Herausforderung, eine möglichst geschickte Wahl der Entscheidungsvariablen zu treffen. Hat man ein passendes Modell gefunden, so kann man in einigen Fällen die Lösung geometrisch annähern, da wir gezeigt haben, dass die Menge der zulässigen Lösungen immer ein konvexes Polyeder ist. Um eine exakte Lösung zu berechnen, können wir den Simplex-Algorithmus verwenden, der die Eigenschaften von konvexen Polyedern für eine elegante Berechnung der Lösung ausnutzt. Für einfache Fälle in niedrigen Dimensionen können wir das sogar per Hand mit Hilfe von Umformungen von Simplex-Tableaus. <br>    \n",
    "    \n",
    "Der Simplex-Algorithmus war geschichtlich gesehen der erste Algorithmus, mit dem man lineare Programme exakt nach einer vorgegebenen Routine lösen konnte. Nach dieser Entdeckung der 1940er Jahren wurden noch einige weitere Algorithmen entwickelt, die sich grundlegend vom Simplex-Algorithmus unterscheiden. Recherchieren Sie nach mindestens zwei weiteren verschiedenen Methoden zum Lösen von linearen Programmen, erklären Sie ihre Funktionsweise und die geschichtlichen Hintergründe. Wie unterscheiden Sich die einzelnen Algorithmen voneinander? Welche der Algorithmen werden heute noch verwendet, und in welchen Bereichen?\n",
    "    \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9a37bc7e-2a59-4e84-bdb7-bc2af2f184bc",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "89c7c9dd-06b6-41b5-b1fd-b470462ddb31",
   "metadata": {},
   "source": [
    "### Literaturhinweise\n",
    "- Linear programming. (2023). In <i>Wikipedia, The Free Encyclopedia.</i> https://en.wikipedia.org/wiki/Linear_programming\n",
    "- Bernhard Korte, Jens Vygen (2018): <i>Combinatorial Optimization.</i> Heidelberg: Springer Berlin.\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 1.4.2",
   "language": "julia",
   "name": "julia-1.4"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.4.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
