Podcast über den geschichtlichen Hintergrund

Schau mal! Du hast eine WhatsApp-Sprachnotiz von deinem Freund/deiner Freundin bekommen. Oder wohl eher gesagt einen Podcast. Hör dir mal den Podcast an um einen interessanten Einblick in die Geschichte des Satz des Phytagoras zu bekommen.

Seildreiecke mit dem 12-Knoten-Seil

Ein geschlossenes Seil mit 12 daran befestigten Kugeln in gleichen Abständen wird zu einem Dreieck mit den Seitenlängen 3, 4 und 5 gelegt. Was beobachtest du? Erkennst du eine Beziehung zwischen diesen drei Zahlen? Gibt es noch mehr solcher Seile? Oder handelt es sich bei 3, 4 und 5 um einen Zufall?
Geschichte aus Ägypten
"[b]Harpedonapten[/b]" waren die Landvermesser im alten Ägypten. Sie spielten eine zentrale Rolle bei der [b]Bestimmung von Winkeln und der Vermessung [/b]von Bauwerken sowie Grundstücken im Auftrag des Pharaos. Diese Experten sorgten dafür, dass die Konstruktionen präzise und genau waren, was besonders wichtig war für die beeindruckenden Bauwerke, die das alte Ägypten auszeichneten.[br]Ihr Hauptwerkzeug war eine Schnur mit [b]zwölf Knoten[/b], die in gleichen Abständen angeordnet waren. Diese Schnur diente ihnen sowohl zur Längen- als auch zur Winkelmessung. Indem sie die Schnur in bestimmten Konfigurationen auslegten, konnten sie exakte rechte Winkel erzeugen. Die Methode war [b]simpel, aber äußerst effektiv[/b]: Sie spannten die Schnur zu einem Dreieck mit den Seitenlängen 3, 4 und 5, was nach dem Satz des Pythagoras immer einen rechten Winkel garantiert. Dadurch konnten sie sicherstellen, dass die Winkelmessungen korrekt waren, indem sie die Winkelbestimmung auf einfache Längenmessungen zurückführten.[br]Dieses Verfahren ermöglichte es den Harpedonapten geometrische Aufgaben mit Präzision zu lösen und trug wesentlich dazu bei, die beeindruckenden architektonischen Meisterwerke des alten Ägyptens zu schaffen. Ihre Arbeit zeigt, wie fortschrittlich die alten Ägypter in Mathematik waren, und wie wichtig genaue Vermessungstechniken für ihre Bauprojekte waren.

Beweis

Hier erfolgt die Auflösung, dass es kein Zufall ist, dass pythagoräische Tripel wie (3, 4, 5) kein Zufall ist und, dass die Beziehung von (3, 4, 5)   a²+b²=c² lautet. Schau dir dafür das Video über dem Satz des Pythagoras an! Du wirst fasziniert sein![br][br][br]
Beweis des Satz des Phytagoras
Was ist die Hypothenuse?

Verwendungsbeispiele im Alltag

[br][b]Navigation:[/b][br]In der Luft- oder Schifffahrt ist es oft notwendig, die direkte Entfernung zwischen zwei Punkten zu bestimmen. Mithilfe des Satzes des Pythagoras kann man die kürzeste Strecke berechnen, was besonders wichtig ist, um Treibstoff zu sparen und den besten Kurs zu finden.[br][b]Handwerk:[/b][br]Ob du Möbel baust oder Treppen installierst – genaue Messungen sind entscheidend. Mit dem Satz des Pythagoras kannst du sicherstellen, dass alle Teile richtig geschnitten und montiert werden. Zum Beispiel kannst du die Länge einer Treppenstufe berechnen, wenn du die Höhe und die Tiefe kennst.[br][b]Sport:[/b][br]Im Sport hilft der Satz des Pythagoras bei der Analyse und Optimierung von Spielfeldern. Im Basketball könnte man die Entfernung von der Freiwurflinie zum Korb berechnen. Im Fußball könnte man prüfen, ob das Spielfeld die richtigen Maße hat.[br][b]Kunst:[/b][br]Beim Erstellen von perspektivischen Zeichnungen und Proportionen in der Kunst ist der Satz des Pythagoras hilfreich. Du kannst damit sicherstellen, dass alle Teile eines Kunstwerks korrekt und harmonisch zueinander passen.[br][b]Gartenbau:[/b][br]Wenn du einen Garten planst, kannst du Wege und Beete in rechteckigen oder diagonalen Mustern anlegen. Der Satz des Pythagoras hilft dir dabei, die genauen Abstände und Winkel zu berechnen, sodass dein Garten symmetrisch und ordentlich aussieht.[br][b]Astronomie:[/b][br]Selbst in der Astronomie wird der Satz des Pythagoras verwendet, um Distanzen zwischen Himmelskörpern in der ebenen Geometrie zu berechnen. Dies ist wichtig, um die Positionen von Planeten und Sternen genau zu bestimmen.[br][br]Wie du siehst, ist der Satz des Pythagoras weit mehr als nur eine mathematische Formel. Er ist ein vielseitiges Werkzeug, das in vielen Bereichen des Lebens eine wichtige Rolle spielt.

Musteraufgabe

Musteraufgabe

Übungsaufgaben

Aufgabe 1:
Wie lautet der Satz des Pythagoras? Es kann mehrere richtige Antworten geben.
Aufgabe 2:
Zeichne ein rechtwinkliges Dreieck in dein Lernjournal ein. Beschrifte das[br] Dreieck: Markiere den rechten Winkel, beschrifte die Eckpunkte (A, B, C), beschrifte die[br] Seiten (a, b, c), färbe die Katheten grün, färbe die Hypotenuse rot.
Aufgabe 3:
Berechne die fehlenden Seitenlängen der rechtwinkligen Dreiecke![br][img]data:image/png;base64,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[/img]
Aufgabe 4:
Wähle je nach deinem Können die Schwierigkeit aus: gering, mittel oder schwer.[br]Berechne die fehlenden Werte für die Hypotenuse c in den folgenden rechtwinkligen[br]Dreiecken.[br][img]data:image/png;base64,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[/img] 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[/img][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtIAAAEMCAYAAADptlFoAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAFigSURBVHhe7d0JvA31/8fxL1mSkBKSlCxFi52KotJCSVmSpFCpkEiLUpZW/RKtSioqbVT6JyHZ2pO0pyhtZAmFiiLzn9fnzlzjONc99zju5v18PM7jnpkzZ86cuWdmPvOZz/c7BbZs2eK5GAUKFAieiYiIiIhIPAWDvyIiIiIikgUKpEVEREREkqBAWkREREQkCQqkRURERESSoEBaRERERCQJCqRFRERERJKgQFpEREREJAkKpEVEREREkqBAWkREREQkCQqkRURERESSoEBaRERERCQJCqRFRERERJKgQFpEREREJAkKpEVEREREkqBAWkREREQkCXEDac/zgmciIiIiIhKPMtIiIiIiIklQIO3bsmWLsvAiIiIikiUKpH3Dhg1zl1xySTC0czp16uRq166d/qhbt6478cQT3fXXX+9WrlwZTJU7NG/e3N1///3BUO7w9ddf23r79NNPbbh///62TlNh3Lhx7thjj3XFixd3RYoUcYcddpi7+eab3Z9//hlMkTjW3YgRI4Ih55YsWeIWL14cDKXOM888Y+sjiv9ZxYoV3T///ONGjhxpz//+++/gVREREckuCqR9V111lZsxY4Z78803gzHJ+/bbby1gbtKkiT0aNWrk9t13X/fQQw/Z8z/++COYMud9+eWX7tdffw2GcgcCws8++yw9uN24cWNKgsR77rnHde7c2e23337ujjvucA888IBr1qyZ+9///udOO+00999//wVTJuavv/6yQBbLli1zNWrUsJOAVPvtt99sfUTts88+7pBDDnEFChRwpUqVSn8uIiIi2WzLli1evMfu5t577/WOPvroYCh59erV8xo3bhwMbfXWW29RO+Ldd999wZicV65cOe/6668PhnKHjz76yNbT22+/HYxJDf9kxmvXrl0wtNXYsWPt815++eVgTNYtWrTI5jFp0qRgTOqMGDHC5i0iIiK5z26TkaZUoEePHq5Fixbu0ksvdXPnzg1eSXPuuedahnbatGnBmNQ65phj7C8ZxqjPP//cXXHFFZYVveiii9ysWbOCV9L4gZ579tlnrSzhjDPOcEOHDg1ecc4P3Kzsgff27t3bfffdd8ErW7366qvuggsusPdee+21VoIQa8KECc4PMt2ZZ55pZS7//vtv8IpzTz31lH32vHnzXNeuXe2zrrnmGrd8+fJgijS8h6z72Wef7Vq2bOluu+02t3bt2uDVjJHFDf8vAwYMcBs2bAheScPnDx8+PBhKk9k6i8Wy/f777+7ggw8Oxmx13nnn2bxKliwZjEmT2bodOHCgrdtffvnF3X777TZu9OjR7sEHH7Tn4MoEpSN8t7Zt27oxY8ZYPX4o0XUbi99ynz59bD3zoPyF5QglOt/Vq1fb9+C3wXpkespGXnrppWCKNIn8zmLxWbfccotr3bq1O/XUU1337t3dhx9+GLwqIiKSP+wWgTSBQcOGDS1oa9y4sV2KP+6449zUqVODKZw74IADrH6WICTV/BMWCzILFSrk2rRpE4x17rXXXnMNGjSw5aIMhBKGk08+2epeQ0xDoHb55Zdvc5n/hhtusCAFfCdODKjHjp4gXH311RbYgu/GSUL9+vW3CboI1AmyCDL32msvd91111lgG3r99dft8wmGWP5q1aq5UaNGuVNOOSW9gSaBKq+zTJUrV3Z16tSxoJJSFgLYjBBY8f0/+OCD9L8dO3YMXk3D53MiEUpkncWiHvqkk06y/8GQIUPcggULglecK1q0qL2XeYQSWbePPvqoe+utt2wdbN682cZRHhKWiPzwww+2Hp577jlbXn5fPXv2dOeff769jkTWbawpU6bY/Cgh4jccvqdp06bpy5HIfCkx4uTusccec0cddZRNxzw4AYqemCSyLmItXbrU1apVy40fP97qu9n25syZY/+vhQsXBlOJiIjkA7ElHeEjv9i0aZO3//77e61atdrme/mBlecHesFQmr59+3rly5cPhpJDaUexYsW8ww47zB5+EOOVLl3aK1CggJURhDZu3OiVLVvW8wPrYEyagQMHen5w561YscKG27Zta5f2Z8+ebcN8h/nz59u4aJkI35Pv5AcuNvzJJ5/YNMOGDbNh+EGtlTiE5RyUdlSsWNHGh7p27er5AXUw5HkdOnSwZWd+If9kw+btB1M2TPmBH4h5H3/8sQ1j5cqVXpkyZbw+ffoEY7ZHCcyRRx5p6wJ8Nz/wt3mHpR18PusUia6zeJYvX+61aNHC5s2D+bRv394bN26crbtQIusWrLt+/frZ83ilHX7w6fknJ97atWuDMZ43c+ZMm+6VV16x4UTXLcMhP+D3TjjhhGAozYQJE2ya999/34YTmW///v3t/+yfVNkwxowZY9P4Ab8NJ7ouYt16661eyZIlt/ld8b9hme68885gjIiISN6X7zPSZM7I5JLR9Q/kwVjnXnzxRecHp8FQmqpVq9ol6fXr1wdjkkPjQsokePgBvGWFK1WqZJfF/WDKpnnvvffs0j+X/PnM8MF7aMQ2ffp0mw7+iYBlC8F38AMxV7BgQZs2fN+qVavcWWedZZf9yQiSlQTfO0QjNbKxYSkCKDtgfIhsJ1neaE8WZDSjPUeQaQWfiYkTJ1pWs0KFCunLQ2aWLDAZ5Hgo+2AdUHpAVhh8t169etnzeLKyzmL5ga+tEzK59LZBtpwMPWUvZOmZLxJZt5lhWcgcMw/WZTgfGiTSw0Z0nWS2bmPRIDb8nv6Jh2W+v//+exumAWQos/lSlsJ3YnlClHf4J33BUPLr4qabbrJtLvxd+UG0++ijj+zKQHQZRURE8rp8H0iHB3sC2SgChj333DMYShPWyWYUxCSKXhSoNeZBbxFPPPGE++abb9yhhx7qunTpYpfXw/IKak+57B8+uAyOaC0z74vivQRRVapU2ea91M2C9/K96aGCrt6iypYt6/bYY49gKC3ojypcuLD9DcsEEA2uQBkAwjIGlueTTz7ZZll4cGk/Xk026C2E9RD7f6E0JCNZWWcZqV69uq0nAkmCPUoeKBOhpAWJrNvMEDiGNePRefDg/dF5ZLZuY61bt87KUzhxoRSH5aSMBqzPUGbz5fcRDaLBiUz0/5HsumA5KBminIhgunz58u7KK6+031R0GUVERPK6fB9Ih9nO2CwzmUK6VosKs7CxDc9SgaD99NNPt+CEAC5crjfeeMNqtmMf0cxsGASFeG+JEiXivo8HNaxMw/eJDVzIBGcUpCWLz6IeN96y/Pjjj8FU29p7773tb2yDRP4vGcnKOoui7p0a8Nh6bTKkNILjqsH7779v4xJZt5kJl3Pw4MFx5xGt+c4q6pWp6eaEjMz0mjVr3NNPPx28mjgy9PFOGGmAGEp2XdDIkAac1GA///zzFnDTx3b0BE5ERCQ/yPeBNJe3ybS9++67wZg0d955pzvwwAO3CSoJcAmuYrO0qUBAS2kCASTZwnr16tn4jz/+2DJ24YNsJo3SFi1aZK/HQykCJwYEqdH3EljRcHDTpk12KZ8SA+YfxWV6SiNSieWZP3++Zb+jy0NvG9FeLKLIhlIKEtvjRuz/KSrZdUZG9eeff7YMcaywPOKggw6y4UTWbSzKH6IIUvl+BOfReZCdJTObbM8wnIRRjsTNffr16+eOP/54mye9mIDvkigaDvKdwr6wwf8wWq6RzLoAJy40bKSEhpNHtjNKasjSZ2UZRUREcrt8H0hzqZrAkcCZGllqNAkE6OaLuxlGs2QEaPSEEK2lTgaBHb0hhA8+i8CCXh64+QvlE9Rj04MHvSSQoSRgofu9Cy+80HqvoMY1Ix06dLDvxbQEnmRxqcklSCMLzSV/vjPT0NUfgRbjCWyYnixsKvXt29cyy3QlR9dofBfKWu6++24rL4mHdUx3fGQsCXB5P/XjgwYNCqbYXrLrjKCROnW6eqMshNpfgly6/SOTTk8oBKdIZN3GCrPr1D7ThRwoFSFgpks/TtDI4Hbr1s0+m8A+GZTl8PkE05R4cHJGzzN0sYcdZfNj3XjjjZZ9pt6Z5aR3kfAEK/z9J7MuQGkT/5fwTo+UzlCLjqwso4iISK63JeilI/aRn/hBh9exY0evYMGC1guBHzx7PXr02Ka3hs2bN1svE/SSsDPoYYLPiD7oxYObvQwfPtz777//gik9zw8EPT9IsR4vwmmPOeYY76uvvgqmSOu1g94tYi1cuNBr0qRJ+vv4bnxHvmtowYIFXsOGDdOnKVWqlDdq1Kjg1fg3ZBk9erRNG/a4QA8Qsb2bMF+mifZSMXnyZK9y5crpn+UHl94tt9wSvBofv7PBgwdb7xG8h7+33367PY/XawcSWWfxbNiwwXqq4H8cvo9HjRo1truRSiLrNtprB/yA1KY96KCDgjGeN3ToUFvn4Xz8oNSbOHFi8Gpi6za21w7/xMN6gWGZihQp4h111FHem2++aT3T+CcmNk2i/7M5c+bY76No0aK2bPzvmQ+914QSWRex/BM3r3r16jb9nnvuaevKP1my33KDBg2CqURERPK+AgQz/gFvOzublc2N6DuXngfIssVm08gmklH96aefMsyi7ipkVqkj9YM866EjK+htgjpZSgnCzGgsGvaRCSRTGFtvnWqUAdCojHVMmUwiWDZKLyiviG0cmZFk15n/e7cSCTLgvJfykowksm6jmJZa+Ohvi/IHMrOMo8TBD0SDV5JHiQS/U/8EbbsGg4mi8Su3F6fxYIj/G9+T2m5u8hKV1XXBeub/w7LSWDYV31tERCS32a0C6R2hwdnhhx9u5Qgi+R2BMndapDvEsE0ApT/cxIcyGboHFBERkR1TIO2jXpY76lFLvCt67BDJbajZ5k6D9NxBV3rUcVPfTo8b1HWLiIhI5hRI+2iESEMueikQ2V1QdkJjRUpPKNfgNumU/4iIiEhiFEiLiIiIiCRBLYBERERERJKgQFpEREREJAkZBtJezK2lRURERERkK2WkRURERESSoEBaRERERCQJCqRFRERERJKgQFpEREREJAkKpEVEREREkqBAWkREREQkCQqkRURERESSoEBaRERERCQJORpIf/jhh65Vq1audOnSbo899nAHHnig69q1q/vhhx+CKRLTv39/d+GFFwZDqcE8O3XqFAwl78cff3S1a9d2b7/9djAmcy+++KK9Z8OGDcGY5DRv3tyNGDEiGHJuyZIlbvHixcFQ9gi//3vvvReMEREREckfciyQJrA64YQT3E8//WRB66OPPuq6dOniJk+e7Bo1auR+/vnnYMrMEawtXLgwGEqNjRs3ur///jsYSt6WLVvcn3/+6TZv3hyMydyqVavcZ5995v77779gTHL++usv988//9jzZcuWuRo1arivv/7ahrML65Hvsm7dumCMiIiISP6QY4H0sGHDXPny5S0rff3117uLL77Y3X777e6dd95xa9eudffcc08wZc6499573cSJE4Oh5B166KHuu+++cyeeeGIwJvu8//77dpICgmoCehERERFJjRwLpFesWOH2339/V6xYsWBMmurVq7vBgwe7mjVrBmPSfPrpp65Hjx6uRYsW7tJLL3Vz584NXtlq3rx5Vhpy+umnu2uuucYtX748fXyfPn3c77//bsP4+OOPbdyCBQuCMc6y4IxbunSpe+qpp9zw4cODV9J8/vnn7oorrnCnnXaau+iii9ysWbOCV9KMHTvWPfvss27cuHHujDPOcEOHDnUrV660eUYzwTznu7Cc4efxl8xtRijR4ITjjz/+CMY4N2nSJCs/YXl69+5tAXvUwIED3auvvup++eUXO0nB6NGj3YMPPmjPyeLzuR988IENx0Mmnfecd955tu779u3rvv322+DVNGS9H3roIdemTRt3zjnn2ElSbDafaRjfsmVL1759e/fSSy8Frzh32223ueeeey4YSsPyRstSwFWLxx9/PBjK/PvfdNNNdjIxYMAAd9ZZZ9m6EBEREUmVHAukCcoIZglI33333W1KH2644QZ32WWXBUPOgq6GDRtaANq4cWMrUzjuuOPc1KlTgynSgkICqsKFC7sqVaq4Rx55xDVr1szKI/bbbz933333uenTpwdTO/fkk0/auAkTJgRj0j6HALpcuXLu9ddft6A49Nprr7kGDRrYMjRp0sQCxZNPPtmNHDkymCJtGgLAyy+/3P32228WGK9Zs8Y+J6xNJgPPdwn/fvPNN+6YY46xaRYtWmTTxCJ4ZZ1QCrPPPvvYOIZbt25tz1knnFjUrVt3mxMMAs+33nrLeZ6Xvn5ZH2HJCCcOfO6XX35pw/Hw2dddd52rVKmSO/74421+9erVSw9a//33X1vPLM/BBx/sjjjiCHfXXXfZ/zf6P+X/Se33kUce6X799VfXrl07O+EA3/vWW2+151i9erW7+eabLQAOS1NYZj4jPJFI5PvzG+jevbt77LHHrIQoK+VCIiIiIpnasmWLl9FjV/KDLK9Pnz6eH/h6/mJ4xYsX95o3b+4NHz7c84PPYCrP27Rpk7f//vt7rVq12maZTjrpJK9Ro0b2vEOHDl6BAgU8P4iyYfiBss03HHfUUUd53bp1s+c4/PDDbb5NmzYNxqTN84ILLrDnzNMPGO35xo0bvbJly3pt2rSx4dDAgQO9okWLeitWrLDhtm3b2mfOnj3bhlneBQsW2LhJkybZOD9otvn6AagNo0uXLjaNH9Tb8MMPP2zD69ev9/r16+cVK1bMmzZtmr2G+fPn2+t+EByMSVtPLH/t2rWDMZ7nnxDY++EHq9ssB/wg1fNPSjz/pCAYsz0/cPf8IDcY8myZ/JMYzz/psOF77713u3U/Z84c+6wpU6akf//o/4//fdWqVb2WLVvaMPNiGj/QteHnn3/eK1OmjI2bNWuWjfMDeBv2A/iEv79/AmX/Y/+kxoZ39W9aREREdi85lpGmlw4u3VPWQEkEZQGUWVx99dVW3kGWGmQYye6S5fUDNhsHspt+wBoMOecHZpYxDoXPKSEBl/bfeOMNe06pA5lgyj8oa6B3DBrD0bPG2WefbdNE0TCSEg0/ULZykfBx5plnWsY0mummXMUPzu15dHnB9+DzKE0hcx6ivCIeSjmoFX/66afdqaeeGox17pVXXnEFCxa0zw+XhQaKfEdKYFiniShSpIjVqceW10RVrFjR3X///VaWwf9n7733tv8N/y/QOLR+/frbrHsy52SdKV0JURoSrg/+92SPw/8NVxL8E5L0/w9/+W40jpw5c6aNI9tPNpurDVn5/mTL/aDcnsf+P0RERER2Ro4F0iECT8o7KKmgezYCJ4Kqzp07W0lCGBRRWhBFl3l77rlnMOTcvvvuGzxLEwaqYXkBZQDMn9IMAl8CMnoJoTSBwHDatGkW4EWDvxCBN6jHPeCAA9IflGaA+YZoXJiR8LsQnEZREhEPATTf84UXXgjGpGF5tmzZYt8hujxhQB5dnp1F7XK1atXctddea3XrhxxyiJVdhDXQfKfY/w1Ynqh4/5/wf1O8eHErk+F/AP4/DBMERwPp8CQnK99/R/8PERERkZ2RI4E0mU0yyGQzY9G7BZlY+pIm00hQjfXr19vfEIEcXasliqxphQoVLNv55ptvWqBWtmxZy3ISrLEs9LtMUBcrXAbeS3127KNXr172OgoVKhQ82x611yB7GkVNcDzUaZO1p457/Pjxwdi05SlRokTcZeFBtjdVWD+caBCc0tCvTp061jiQxn1gWWL/N6A2PCvIJs+YMcN+GwTKJ510kv0/uCLx1Vdf2QlQGEhn5fvv6P8hIiIisjNyJJAmA0swSUM3MouxaMi21157WRaTm3lwST4s9QjdeeeddgOXRPtaZh7c/IUGipSEEEiDYI0AbsqUKXHLOkDjOtA4klKI8EFpQs+ePTNsJBiLrCkZUrKrURn1JsF3J1tPWQefQ3kJOCkgeKX/7OjykMmlXGXTpk02XRSlEFnF96OHDbokZF1369bNugSkpIIAFwTW8+fP3+bmMXS1x/R0IZgoAml6Vbn77rutpIOTHoJp/r904XfQQQel/x+S+f4iIiIiqZYjgTRB8pAhQyzwoScIyjqoQyaYpRb6gQcecP369bPMI2UD1CYTOJOhJUjjfdTtXnLJJVaOkSiCNbLRZLrDfp3DrCeBPYF2PGTPqQkmE0tPHgRx9HTB3RSpeab0IVG33HKL1XdThkD3edRA000dMqrhHTVqlAWqdL2HDh062Hrh8znBIDvPurvyyiutr2jWbyxqm0EQT3eA4DtQuxzbjV+IjD01xywrWWHqwfk8vvOxxx5r0/CZ9KRB3Td10QT79JRB3fW5555r0ySCkwwCZH4L4UkOPZQQPLPMYQ8dSOb7i4iIiKQcPRlk9NjVxowZ4/lBqPXAED7oHWPo0KHbfP66deu8jh07egULFrRp/ODZ69Gjh/XUAHrYCHvwCIW9VEycODEYk9b7hh9QekcffXQwxvP8wMt6DmnSpEkwJk201w74wbPnB25eoUKF0peVHjj8ADOYIq3XjsaNGwdDacJeK6K9ZdArR5UqVbwiRYp4devW9UaPHm3T/N///V/66wzzmSF6x2DcM888Y8MLFy60ZWYcD9YN64h1FYr22gH/RMKmPeigg2zYPyGxYT4/I1988YWth/BzWPft2rXb5nNYbuYZTsP/9O2337bXwu9PDx5RnTp18mrVqhUMpfFPVGzal19+ORjjeTfccION80+AgjFpEvn+9NoxYMCAYEhEREQktQoQsPqBSFzZ1csBJQRkMqlPpjFbRmUIZD7JJpONzKmsI9lo6oXpCYKGkllFeQgZ7JIlSwZjnJVOkJnn5iH0KZ0VrDfqkWnAGGadd4RpaaSZ1fVHjyNk7Sm5KFWqVDB2K/+3ZH1l0xMIZRjZJavfX0RERCRVckUgvTshUKZkgcaNlKXQcwWlCtRt0wNGtCcSEREREcm9FEhnM3oIoVabrC4ND2lYSY0vXdzF63pPRERERHInBdI5gFIE+kymTIVGdgTQ4a2/RURERCRvUCAtIiIiIpKEHOn+TkREREQkr1MgLSIiIiKSBAXSIiIiIiJJUCAtIiIiIpIEBdIiIiIiIklQIC0iIiIikgQF0iIiIiIiSdhhIO15GXYxvZ0ff/zRbnMtsrvhd8/vX0TyP23vIvlDqrblHd6QBYnelKVZs2Zuzpw5wZCIiIiISO41aNAgN3jw4GAoOSkLpLt06eKefPJJWyiR3cmQIUNc06ZN7WRSRPI3be8i+QPbcq4KpFkQFior5SAi+QHbSCo2RhHJ/bS9i+QPqdqW1dhQRERERCQJCqRFRERERJKgQFpEREREJAkKpEVEREREkqBAWkREREQkCQqkRURERESSoEBaRERERCQJCqRFRERERJKgQFpEREREJAkKpEVEREREkpAjgfS4cePcscce64oXL+6KFCniDjvsMHfzzTe7P//8M5gicc2bN3cjRowIhpxbsmSJW7x4cTAkkrt8+OGHrlWrVq506dJujz32cAceeKDr2rWr++GHH4IpEte/f3/XqVOnYMi5DRs2uI8++igYSp1vv/3W1a5d282bNy8Y4+xzKlas6GbPnu0++eQTez5jxozgVZHd24ABA2ybyejx5ptv2nTHH3+8e+SRR+w5UrFdcUy8//77gyER2dWyPZC+5557XOfOnd1+++3n7rjjDvfAAw+4Zs2auf/973/utNNOc//9918wZWL++usv988//9jzZcuWuRo1arivv/7ahkVyk/fee8+dcMIJ7qeffrIg+NFHH3VdunRxkydPdo0aNXI///xzMGViNm7c6P7+++9gyLkmTZq4F154IRhKHQL0zz77bJsT3T333NMdcsghrlixYq5o0aLpz0XE2TbOCSjbZLxHmTJlbLovvvjCLV++3J4jFdvVl19+6X799ddgSER2uS1btng7eiRq0KBBnj+7YChj++67r9euXbtgaKuxY8fa+19++eVgTNYtWrTI5jFp0qRgjMiux2+O339mzjnnHK9SpUqeH/wGY9L4B1yvSJEiXu/evYMxyTnwwAO9fv36BUOp88knn9h3nDVrVjBGZPeVyPbeqVMnb7/99guGMlaqVKmE9h1ZUa5cOe/6668PhkQkI4keuzOTrRnpf//91/3+++/u4IMPDsZsdd5557krrrjClSxZMhiTxg+K7fI12Wo/0HDfffdd8EqagQMHuldffdX98ssv7vbbb7dxo0ePdg8++KA9x8qVK610pEWLFq5t27ZuzJgxnEAEr4pkjxUrVrj9999/uwxT9erV3eDBg13NmjWDMWk+//xz2yb47V900UXOD2SDV9I89dRTbvjw4fbcP3C6tWvX2jR9+vSxcWCbe+ihh9zZZ5/tWrZs6W677TabLkSWnM8mK3b11Ve7008/3XXr1s19/PHHwRTxMf0tt9ziWrdu7U499VTXvXt3K1sJJTrfzZs326Vt/yTDtWnTxo0fP969/vrr7q677gqmSJPZuhDJDzLbrkIc8y644AJ3xhlnuGuvvdZKGmNNmDDBtWvXzp155plu2LBhti+I0nFRJDWyNZCmHvqkk06yA/uQIUPcggULglecXcYaOXKkO/nkk4Mxzt1www22Q0Hjxo3d3LlzXd26de1viMvjb731FqlwOyiD8pCwRITa0zp16rjnnnvONWjQwB1wwAGuZ8+e7vzzz7fXRbILBywCSQLBd999N/33Cn7rl112WTDk3GuvvWa/V8qUuBRMCQfbBttIiIDz2WeftefMi22AA2E4Xw6cHIyZd+XKlW074CSTMhJOaEGAet9997ljjjnG/fjjj+7oo4+2IJXaTU5O41m6dKmrVauWBb3UezZs2NDNmTPHlnPhwoU2TaLz7dixo7vqqqtcuXLlXJUqVVyPHj1sPTz99NPBFImtC5G8LpHtCpyYcmIM2hpNmzbN1a9ff5vtauzYse6aa66xpNVee+3lrrvuOtu2QjouiqRQWMKR0SNRiZZ2+Gfcnh9Q2LQ8ypYt67Vv394bN26ct2nTpmAqz5s/f7697h+MgzGeve4H4p6/kwnGpF3GCi9nxyvt8ANxz9+ZeGvXrg3GeN7MmTNtuldeeSUYI5I8fkuJXB7yA1yvT58+XuHChe09xYsX95o3b+4NHz7cW7NmTTCV523cuNG2izZt2gRj0gwcONDzTzi9FStW2HCHDh28evXq2XPElnaMGDHCK1SokOcH78EYz1u5cqVXpkwZWw48/PDD221nP/30k1egQAHvf//7nw3HlnbceuutXsmSJT0/GLdhsEy8584777ThROY7depUmyZazhWWuRxxxBE2nOi6EMku/GYTKe1g22vcuPF2Dz94DabatrQjke0q3BaHDRtmw2B6SibDcg6OiRUrVtxmPl27dvX8gDoY0nFRBIlsy4nI9saGZJ7IpNEQg942yI5xRs1lKs6qudwEf2N2BQsWtMtSXO7isWrVKnfWWWe5Tz/91M7eM0MjxClTptg8yGKF86FBIq2hyXSJZBd66eA3z2+XjBGlDFyVIcNEeQdZalAWwXbA5dbwN8uD3zG/6enTp9t0mZk4caI76qijXIUKFdLnwZUargrF/vb9k9ngmXOVKlVy/oHZtrd4brrpJvfbb7+5ffbZx4YpWaG3Aa440fg3akfz5fJ0+fLlrawjxHqgBCWUqnUhkt3Y3mksGPuILV8MJbJdcezE5Zdfbn/B9OxHwtJGcPUrnA/IOnMMpMGwjosiqZUj3d+BAya1nBxM2XmMGjXKLt1yCQpcptqyZYtd7uWyU/gI6z/j1YTFYkcU1ohG58GD9ycyD5FUo06a8g5qnPkNzpw500qb6M3GP7lNv0RL24Dob5ZLvUj0d8t86EIrOg8eXDqOnQfd8UUVKlQowx50WEZOBLiszMGaYPjKK69MLy+J2tF8OaHgwB0r2oYiVetCJLvtvffe1tVr7CN6ohiVyHbFNkOPV3QdG1W2bFkL3EOcsEYVLlzY/jIvHRdFUitbA2kCBw6Svwf1mSHOuGlUQf+677//vo0jsChRooR1aRfvQa10ZpgHaPQUbx5hfanIrkbGqGrVqtbVXawTTzzRGgtSt0hmKPzdvvHGG3F/t7169bLXM8N8qJGONw/qlpNFYyga/lH//Pzzz9uBl77bowfyRHB1Kl7We/Xq1cGzrdvwzq4Lkdwuke2K7YGscuwJKw2IMzrxjaXjokhqZWsgTXaZvnI5E45F9plA4qCDDrJhyjzWr19vB3zOzMMHl3JpRLFp0yabLopSkCgO1GS8CM6j8+BsnzN9SkpEsgMnkASNNMDjtx6L3mhoFEQmqV69ejaOhonR3y2ZJBoELVq0yF6PFfv7ZxuaP3++Za+i86Gnj2ivNlnFCfEpp5xiZSr0xsFNZSjVIssV77tlpHHjxtbfLv3ehrjUHN6sAsmuC5G8JpHtigaClGbE9n5DmQblT4nQcVEktbI1kObASWtjuqzjUi110GzMdNND5oybPpCZQ4cOHaym8sILL7TaUQ6w1HWxoXNGTtARi0tpoMYrvAsbpSLsGLjTFCUknHHTDRefTWAvkh34vdJTDSeC9FzBQZP6X37T1DtyY6J+/fpZtojMNfXTdFVHdogTSoJNtoUPPvjAVatWLZjrtvj9M08CUTJWffv2tUwVXUsSqDMfusG6++677fJwsqjzZHnCO4hSkkUbB7CdJooeAg4//HDbJ1BuEtZtUhNdoEABmybZdSGS1ySyXREsc1y89NJLrWccjoUE3hwjuaqbKB0XRVLIP9ON21tH+EhUor12bNiwwevfv7/1HMD04aNGjRrb3Uhl4cKFXpMmTdKnKViwoNexY0dv3bp1wRTb9tqBs846y6Y96KCDgjGeN3ToUGsdHc6Hm2JMnDgxeFVk5/CbSrTl75gxYzw/+Ev/LfKgVwp+o9HtzQ8YPT9YtJb/4XTHHHOM99VXXwVTbN9rB71h7LHHHjbt999/b+MmT57sVa5cOX0efrDt3XLLLfYawt412C6jottVbK8d/gHcq169uo3bc889bdqHHnrI8w/yXoMGDWyaROYLevLwA2lbrtKlS3tXXXWV9ShQp06dYIrE1oVIduH3l0ivHVm9IUsi2xUWLFjgNWzYMH1bYB6jRo0KXk3bxmJvyDJ69GibNtqTh46Lsrvjd5+KXjsKcPD2Z5ahMDOUGeqtyLj58wzG7Jj/udaQiIwZt0ulZ4GMkKFas2aNXY4Ks847wrTcajWataYUhDN9xnHJLPYyuEiy2Eb8jdG2gURRmsDvmrILMlEZ/R7JwFIryTZCI8XM0Lqf33q0xT4okaKhEdks2iTsLLZflovLzoceemhS2xO3Meb7HXbYYcGYNM2bN7dGiVOnTg3GpMnquhDZFZLZ3hOVle2K7YdMNfsPtpdk6Lgou7NUbcs5ttWwwVI3yo0adhREgxbJXAJOJIgGdaaxpR+0WuaATQ22dhaS08qVK2dd02V2sKTBLd1SJRo4EpjHBtHgYEuZRCqCaLDMBOXMM9ntiUvTbNdht3/gZkvchIIu+mJldV2I5DVZ2a44bjJdskE0dFwU2XnackQkR9Cwipropk2bWnd2NI6k6y/6wI3e5lxERCS3UiAtIjmCbr0mTZpkGeiuXbtaYycaH9O3fKoy5yIiIruSAmkRyVH05kP/uT169Ei/0YqIiEheoEBaRERERCQJCqRFRERERJKQaSCdaHd2IiIiIiK7E2WkRURERESSoEBaRERERCQJCqRFRERERJKQ6S3Ckchtwps1a2b9wYqIiIiI5HapuEV4ygLpLl26uCeffNIWSmR3MmTIELs7HyeTIpK/aXsXyR/YlnNVIM2CsFDq5UN2N2wfqdgYRST30/Yukj+kaltWjbSIiIiISBIUSIuIiIiIJEGBtIiIiIhIEhRIi4iIiIgkQYG0iIiIiEgSFEiLiIiIiCRBgbSIiIiISBIUSIuIiIiIJEGBtIiIiIhIEvJcIL1ly5bd6u6J//33X/BMRERERHKTPBVI//77765y5cpu8eLFNtypUyfXtWtXex5F8HnppZe6unXruunTpwdjE/PBBx+4f//9157/+OOPrnbt2u69996z4Z319ttvB88Ss379ele1alW3aNGiYIyIiOQly5cvd0cffbT7+eefgzFbvfrqq65FixbuqKOOcu3atbPjT6wvv/zSdezY0dWqVcs1b97cPfPMM8Eruxa3Tq5UqZI74IADXOfOnd2GDRuCV0QkKk8F0n379rWdTZUqVWz422+/3S7I3Lx5szv//PPd448/7q644gp3yimnBK9kjp3acccdlx5Ib9y40X322Wdu3bp1Nrwz+vXrZ8ufFSVKlHDXX3+9u+SSS3arLLyISH6wevVqd8YZZ7gvvvgi/bgS4hh19tlnu0MPPdRdc801Nq5JkyZuzpw59hyff/65a9SokSWROH7UqVPHdenSxd12223BFLsGwfv48ePdzJkz3ccff+xef/11GxaR7eWZQJodEWfi1157bTBmewTRZKlfeuklN3bsWMtKZ8XKlSt3WcC6YsWK4FnWdOvWzX3zzTdu4sSJwRgREcntpk6daldFv/7662DMVpQoDhgwwPbvDz30kLvooovchAkT3JFHHumGDh0aTOXcLbfcYlnhSZMmWQB99913ux49eri77rprl5b9sRwLFiywK6KcDJCNrlmzZvCqiERleyBNlveRRx5xHTp0sGwx2ePnn38+eDVjw4YNcyeccIIrX758MGZbYRD98ssvu2effdZdeOGFwStbkXFmx3Xqqae6c845x91zzz3u77//ttdmzZrlXnjhBXtOFpidYOiff/6xz2/ZsqVr3769BeqxyByQAT/ttNNsp8j8QqNHj7az+l9++cX16dPHfffdd8ErznaQLDfv69279zavoUiRIq5Nmza2AxURkdzvk08+seMFx6xHH300GLsVx6uHH37YXXfddcEY5woUKGBlFKtWrQrGOHfllVe6UaNGucKFCwdjnKtQoYL7888/tym14BhFQM6xgmMbx6vw2EaCiOPOkiVL3J133mnLxTGK5BTB+H333WdZc46Zc+fOtfeEOJY2a9bM3X///a5BgwbBWBGJytZAmrNwgtibb77ZHXTQQe7444+3TC31X0888UQw1fbYSXC23rZt22DMtsJyjldeecWC3HPPPTd4ZaubbrrJ3s/OqmnTpm7vvfe2gPnyyy+311m28Ayf+TEcuuyyy9yLL75oZ+m//vqrlZeMGzcueNW51157zXYyZB64NMcO7OSTT3YjR46015lv2EiSeYdZ7xtuuMG1bt3anjdu3Nh2YmQwYndmLDe1c6qVFhHJ/Qh2KY94+umnXenSpYOxW5EgIeCtXr16MMbZsYtSivPOOy8Y4+xYRTAeYp4E4GeeeaYdw0DJCMEux5ODDz7YHXHEEZaxpvaa482aNWssWD799NOtzRCv016HeXOsJIHEcrzzzjvupJNOsmMcOGZyjJw8ebKVF4pIBvwAz8vskYhBgwYRHQZD8c2ePdsrWLCgN2PGjGCMZ/P3A1TvtNNOC8Zsb9asWTbvefPmBWPS1KtXz2vUqJHnB7b2un/W7vlBaPDqVn/99ZdXokQJzw/ggzFpevbs6RUtWjQY8rzRo0fbfNavX2/DCxYssOFWrVqlrwd/x+RVrVrV88/qbXjjxo1e2bJlvTZt2thwaODAgTZv/0TBhjt16mTLG5o/f77N29/BBWM8b9OmTZ6/I/Nq164djEmzdu1am9bfgQZjJDfhf8PvX0Tyv6xu75MmTbL3LFq0KBizLT9Q9cqUKWPTtG7d2o4xsVatWuVVrFjRK1CggB1/li1bFrzieffee6+Njx775syZY/ObMmVK+nGMeYf8QNrG+QF4+rHND9Jt3DPPPONNmDDBnu+7776eH5zbY+TIkTadSH7BbzwVx+5szUhzBkxpB2e9oFcKesTwg2vnB7s2Lp6FCxfaX+q1Yn344YfO31nY2bwf0NrZfGzjwL322sv5wajzg1sbJsPNZS3O1HmeWa0Z8ySTjT322MOyxmHNM8vPpTOyxrTODh9kDJh3Rr2GkD3nezNd+B4u6Z111lnu008/dUuXLg2mdK5kyZJu//33V0ZaRCSfobHhk08+6W6//XY7XlD2GItjBaUblAmSZSYDHZaAkDGuX7/+NqUXZLHJLJOFDkWv6IaZcI434bGtWrVq9ve3336z9/nBuvvqq6/saiiPeOWSIpIDNdJvvfWW1WhRC0aA2KpVK6vd8oP6YIrt0dgBTB+Ly1vUM1Mbxs7ohx9+cN27dw9e3YraYxofstMisGbHw6Us7Oiz4Z+VB8/SUK/GzgzUPYM6Z75T+GjYsKGN57vFw/u2bNliPZBE30ctG2Lfx3eP1s6JiEjed/jhh9sx8cYbb3QjRoywpFBsV6mUhxD0XnzxxXa8I7lEiQdIutAgMRbHk6j99tsveJYWmCNadhKO43jIcZX2SNFH8eLF7XUR2Va2BtIzZsywRnVkdR944AHrjYLgkKB2R8JasHj9WNK3JnXJoC6ZQJSar8cee8zGgewx9djUHlP3NW/ePMta0zhwZxUtWtT+vvHGG3YGH/vo1auXvR6L99G9Xbz38CDrHUXjkngnEiIikrdwBZarmbFXT8N6aLp2JaCdP3++3c8g6rDDDrOrr0wDjiVc3Y3FFdeoMFAWkdTK1i2LFsB77rmndeVGgz12CGRl6WaHvxmh4QYoocgMrZLp3J4eMMJuhwhyCabpt5NeO+iLk50PPW0g/OxkdjT16tWzv/TKET175/N69uyZXo4RO29OHtj5sZOMvo9Le/QpumnTpmDKtOVjpxibYRARkbyHZAkNzDkmRnHfAtBokJILGqP379/fxoV4L+UXTAOOZwTc0UQTgfqBBx7o7r333mCMiOwq2RpIH3LIIdajxZtvvmnDBMaUW1DmEHbVE8+xxx5rOxWC1cwQINPfNMEntWbsXPhcUEtGPTR12nTnE3YwH352mPmmR47YbugyQt02ZSV0kM9OkeCYltXUk1FXFtadMW/uyEjH9pSqsGxcjmO6d99915aBWm+6OyL7TPlJiICfwJodr4iI5G0cN7g6S7sdyjhoT8MV26uvvtpqnbm6CpIxHKe4wspxi6QTXbBydTLscYpjxh9//GHHUuqiOa5S3lisWLG4PViJSGplayDNnZnoO5puechME+BS3kBXPewguHtTPGSkKXWYPXt2MGbHyEjfcccdFtBS6kFZB/110tE9Oxc+c9q0ae7//u//bPrwFuA04GAHR8kHHeEnitpsGnLQNyc7OD6fQJjsclhXRuBMEE9/nXwugTUnFOXKlbPSFKaj4SG1cnSZFEVdOXXaYQmLiIjkbSR8OOZQzsHxkGMjQTQJn/AKJt3PUY5IsMyxi5uikGjh2EEXsqhdu7bVVXOcIAvNMeWjjz6y+yaEV3NFZNcpsGXLlh23tPOFrXp3ZPDgwW7IkCGZNtwDl6WojSaQZueQCForcycoGlZEO6fPCnZANOKjviy2AWGI5WfZ9tlnnyx/Dtlo5l+mTBnrZSMW/X1SE0ejj+g6JYNA6UbFihXTs+JRlIE0b958mzteSe7B/3LQoEG2DYhI/pbq7Z3jxk8//WSle9EGgVEcO7iiSYImXsNCcOxiGvqoDoNsEclYqrblbM1Ihwgya9SokXAQDbK9TM+Zd7IIUmkhnVEQDVYsy5dMsE6mm+8VL4gGOziC7GgQDQJ7liteEE05C9l6LvmJiEj+wnGDm31lFESDYwfHiIyCaHBcoRcoBdEi2StHAulksCPhToGcPYRdz+0O6BKJBpQE2yIiIiKSe+SZQBrUFxNYhn0353eUgfCdqY8TERERkdwlTwXSoMSjcuXKwVD+RsNFuvGLLQURERERkZyX5wJpEREREZHcQIG0iIiIiEgSFEiLiIiIiCRBgbSIiIiISBJSdkOWLl262B3+6J5OZHfCjYiaNm1qdykTkfxN27tI/sC2nIobsqQskGanMmfOnGBIRERERCT3ylV3NgzPzrlNqR567E4PsDHGe00PPfTIXw9t73rokT8eqaIaaRERERGRJCiQFhERERFJggJpEREREZEkKJAWEREREUmCAmkRERERkSQokBYRERERSYICaRERERGRJCiQFhERERFJggJpEREREZEkKJAWEREREUlCngukt2zZktJbO+Z2//33X/BMRERERHKTbA2kv//+e1e7dm333nvvBWOy5vfff3eVK1d2ixcvtuFOnTq5rl272vMogs9LL73U1a1b102fPj0Ym5gPPvjA/fvvv/b8xx9/3KnljfX2228HzxKzfv16V7VqVbdo0aJgjOR1/Ha7devmjj76aHfCCSe4ESNGuM2bNwevikh+8eqrr7oWLVq4o446yrVr186OLbFyan8waNAgV6lSJXfAAQe4zp07uw0bNgSviEhWZWsgzcb62WefuXXr1gVjsqZv3762Q6pSpYoNf/vtt9sFmeyEzj//fPf444+7K664wp1yyinBK5ljx3fcccelB9IbN27cqeWN6tevny1/VpQoUcJdf/317pJLLtmtsvD5FSeSDRs2dF9//bX9Fpo0aeJuuOGGLP8uRCR34/hz9tlnu0MPPdRdc801No7tfc6cOfYcObU/+PLLL9348ePdzJkz3ccff+xef/11GxaR5OSZ0o4vvvjCPfPMM+7aa68NxmyPIJos9UsvveTGjh1rWemsWLly5S4LWFesWBE8yxqyFd98842bOHFiMEbyKn67ZcuWdbNmzbIrKXfccYe76aab3KhRo1JysiYiOY/ywwEDBti++6GHHnIXXXSRmzBhgjvyyCPd0KFDg6lybn/AcixYsMCudq5evdoSXDVr1gxeFZGsypFA+q+//nKDBw92p59+umVbOSvOzLBhw+zSV/ny5YMx2wqD6Jdfftk9++yz7sILLwxe2YqMMzu3U0891Z1zzjnunnvucX///be9xs7shRdesOdkgadOnWrP8c8//9jnt2zZ0rVv394C9Viff/65ZcBPO+0023Eyv9Do0aPtO/7yyy+uT58+7rvvvgtecW7SpEm23Lyvd+/e27yGIkWKuDZt2ri77747GCN5EWU6r732mrv66qtdsWLFgrHOfg+cKO21117BGOeWLVvmbr75ZnfmmWfa1RV+l+EJHmVGbDtLly6197INkcHigLhmzRo7OHM5md/Sr7/+au8RkezDsejhhx921113XTDGuQIFClgZxapVq2w4N+wPOE42a9bM3X///a5BgwbBWBHJqhwJpC+//HI3Y8YMd+yxx9qZ8THHHOOmTZsWvLo9AlnO6Nu2bRuM2VZYzvHKK69YkHvuuecGr2zFmT7vZ4fWtGlTt/fee1vAzLKALELYsI/5MRy67LLL3Isvvmhn8uyMKC8ZN25c8KqzHSI7Ii7RcXmO4Pzkk092I0eOtNeZb9hIknmHO0Eu47Vu3dqeN27c2M2dO9fquvkbxXJTX6da6byLE61NmzbZb54Tuu7du7sePXrYCRaXfwsVKmTT8T+mLv/55593derUcSVLlnQXXHCB/X7BfO677z4rQeKgXL16dTtR43d0/PHHW10/7QjGjBnjWrVqtcuusIhIfCQ/SNSwbYY4LlFKcd5559lwTu8PeD/Hv8mTJ1syS0R2gh/geZk9EjFo0CC20GAovi+++MKm8YNMzw8obRx//UDaq1Gjhg3HM2vWLHvfvHnzgjFp6tWr5zVq1MjzA1t7vXDhwp4fhAavbvXXX395JUqU8Pyz+mBMmp49e3pFixYNhjzP3wHZfNavX2/DfpBvw/4OKH09sLxVq1b1WrZsacMbN270ypYt67Vp08aGQwMHDrR5r1ixwoY7depkyxuaP3++zdvfCQZjPM/fsXonnXSS5+84gzFp1q5da9M+/PDDwRjJTfjf8PvfEf9E0KZr3759+u+lZs2aNu7ee+8NpvK8s88+26tQoYL9z0NDhgyx39Iff/xhvwHeM3z48OBVz7v11lu3W4YHH3zQxi1dujQYIyKpELut7YgfqHplypSx9/jBbfpxLyf3B+Fn77vvvt7BBx9sj5EjRwZTiuw+YreTZOVIRrpXr15ujz32sOf85YyYzDRnz/EsXLjQ/lLTFevDDz90U6ZMsTN+6s0444+tL+Mymb8jcn5wa8NkuKm55tIXzzPrYo55kskGy0vWOKx55tIatdVkjZcvX57+4DIc886o1xCy5wULFrTpwveQUTjrrLPcp59+apfqQmQh9t9/f2Wk87CwVfxXX31ll275vfIb7Nixo11+5UqHf7JmJUWU+vA/D/E6v49SpUoFY5xdFQmFma/w6gaqVatmf3/77Tf7KyLZj+zyk08+6W6//XY7FnTo0MHG5+T+gPIPykX4bK508ohXCikiicmRQJpLTVF0w4OMajqp90J0ZxKiRIOdDXXE7LB++OEHu0wWi9pjGh+yYyOwrl+/vnvnnXfsNf+Ewv5mxD9zD56lKVy4sJVogLpnsLOjBi580BobS5Yssb+xeB87Snogib6POjfEvo/vHtbXSd4T1jzy/y1durQ950Sqf//+dol39uzZ9junp5hwewhRQ7nPPvsEQ2n222+/4FnafBDOF+G4zH7bIrLrHH744da25sYbb7Su7QiY6QY1J/cHHDNpaxR9FC9e3F4XkazLkUA6ts/KP/74w/7S3Vs8bPiIfR9q1apldcmgLpkdE40xHnvsMRsHssfUi1F7TG3YvHnzLGtN48CdVbRoUfv7xhtv2Fl+7IPsezy8j+8b7z08yHpH/fnnn3FPJCRvOOSQQ+xv9ICH8CSNqxfhb4mGSFFcMQm3kVB4YBSR3IXG9FypjL0ySmN50G2r9gci+UeObH2xNzh58803LUjk7D2eChUq2F9KKDJz5513Wgf4tFKm8R8Icgmm6duTXjtotMFOioYaIDOMZHZG9erVs780Eome4fN5PXv2TC/HiJ03GXF2kJSzRN/H5T/6HSUrEWL5KEMhYy15Ezdc4KBJg6OosGEpJ4RsA1wxeffdd21ciOwU2SVKfkQkdyMRQuNxesWI4p4EOPjgg7U/EMlHciSQpl6MXjvIshLc0qKYboAomYiHls3UKCfSTR4BMv1NE3xSj0YWOzz7p4UyZ/NcLqPLn/FBJ/RhF3hh5pseOWK7ocsIdduUldx222224yQ4psN7as6oPQtr05g3d7Gi83su2bFsXLJjOnaULAO13ldeeaWtl2j3R2ELb3bOkjfx2+YEiT5in3jiCfsNctDkd08XVOEVCIb5nXIZmLp+2g5wM59GjRpZ630Ryd04JtCdKW1yKOMgu8zxjm2b3p24cqr9gUg+4gec2/XSEftIBC0f/dkFQ/GFvXbQqrhUqVL2nJ42/B2K5we4wVTx0eNFr169gqE0jPODy2BoW/fcc4/Nv3v37jZ83XXXeYUKFbLP4y+9bkyaNMmmoWU16GGDHjkY17lz5/ReO/wA114P0QNHrVq1giHPevnwA2KbL9PzoCeSr776KpjC82bPnu2VLFnSXvNPHmzcwoULvSZNmqS/p2DBgl7Hjh29devW2eshevaghXXY4ltyF/53ibT8ZVuiN5dixYql/8/9A663cuXKYIq0afyTMq948eLp0zRv3txbsmSJvR620vdPEG0YYSv8H374IRjjedOnT7dxn3zySTBGRFKB7Sqz7X3VqlXWIwfT8ihQoID12hG7rWt/IJJz2CZS0WtHATZUf2Y7FPZYsSN0Cj9kyJCEGzeRKaas4cADD0yo9pe+MblbFL1ZZJS5zgyZXhrx0btHbAPCEMtPoz4ac2T1c8hGM/8yZcpYLxuxuPU4dXNc0ouuU0pWKN2oWLFielY8ijIQf+e5zV2xJPfgf+lvjLYNJIKrD1yd4HdCOU88ZLFoOLuj36qIZL+sbO8cE3766Scry4uthw5pfyCSM7J67M5IjrVQoOVxjRo1Em5Ax90CeQ+tnpNFkEod9o52RKxYguBkgnUaD/Kd4gXRoKN+dpbRIBrsHFmueEE05SxczuMSn+QPlO1wc5+MDpqgRCmz36qI5G4cE9jWMwqiof2BSN6WY4F0VhGEcqdAzh7Crud2B3SbRANKgm0RERERyT3yTCCNM844wwLLsO/m/I4yEL4zDRBFREREJHfJU4E0KPGIvaFLfkXZC934xZaCiIiIiEjOy3OBtIiIiIhIbqBAWkREREQkCQqkRURERESSoEBaRERERCQJCqRFRERERJKQsjsbdunSxT355JPWz7PI7oQ7ejZt2tQ1a9YsGCMi+ZW2d5H8gW05FXc2TFkgzU5lzpw5wZCIiIiISO6VqwLpyy67zD366KNu3rx5wRgREZH8pX79+ik5+IpIziK2TcW2rBppEREREZEkKJAWEREREUmCAmkRERERkSQokBYRERERSYICaRERERGRJCiQFhERERFJggJpEREREZEkKJAWEREREUmCAmkRERERkSQokBYRERERSYICaRERERGRJCiQFhERycM2bdrkhg8f7po2bepq167trrjiCrd06dLg1a0WL17sunXr5o4++mh3wgknuBEjRrjNmzcHr+46gwYNcpUqVXIHHHCA69y5s9uwYUPwikjep0BaREQkDyM4HjJkiDv11FPdlVde6T744APXoEED99tvvwVTOPf999+7hg0buq+//tr17dvXNWnSxN1www32fFf68ssv3fjx493MmTPdxx9/7F5//XUbFskvFEiLiIjkIqtWrXKnn366+/zzz4MxGSNQHTdunHvooYfcgAED3MUXX+zeeOMNt3LlSvfEE08EUzl37bXXurJly7pZs2a5rl27ujvuuMPddNNNbtSoUW7dunXBVKl35JFHugULFriqVau61atXWza6Zs2awasieZ8CaRERkRR79dVXLVNMlvicc85x99xzj/v777+DV3ds48aNbtq0aW7NmjXBmIztv//+7qmnnrLPCO23335uzz33tIAc69evd6+99pq7+uqrXbFixWwc+vTp47755hu31157BWOcW7Zsmbv55pvdmWee6c4//3z3wgsvOM/z7LX33nvPDR482MpGeC/BPhltAmSWlWC9RYsWrnfv3u7XX3+194SeffZZ16xZM3f//fdbtlwkv1AgLSIikkJketu2besKFChgdct77723u/76693ll18eTJE65cqVs7rj4sWL2/A///xjn08w3q5dOxtHZps66mOPPdYC/O7du7sePXpYqcWhhx7qChUqZNMtWrTIaqyff/55V6dOHVeyZEl3wQUX2PzAfO677z533HHHWZBevXp1N3r0aNe6dWt3/PHHux9//NFVrlzZjRkzxrVq1So9AOf9fP/Jkye7Sy65xMaJ5BcKpEVERFKErDNZV+qPH3/8cSu3ePrppy2I3lFtMLXLZHt50HAQY8eOTR/3zjvv2LgdoVEf2eg777zT3XXXXa5Ro0Y2niwzqKO+9NJLLYM8Z84cyxATGIeuu+46C6oJsG+99Vb3yCOPWHaabPratWttmj/++MOy0ZST8D379+/v3n33Xde+fXs3YcIEN3LkSDd06FA3f/58+9wXX3zR3X777bZezjvvPHfIIYe4hx9+2OYlkh8okBYREUkRyiQIOgcOHGjDZIi/+OILK33g+X///WfjY/38888WnPKYOHGijZs+fXr6uK+++srG7cgpp5xi2WQyzpRZEOgi7CWDeVDK8dJLL9kydezY0aajDGPLli1u6tSprlOnTpaJDvH68uXLXalSpYIxLj3TDbLSICsdqlatmv2lsSPlHwTUfDaNIHlceOGF9rpIfqBAWkREJIW+++47y/xSNkFgXb9+/fSMcljuEIuAk/fxePvtt23cM888kz7usssus3E7Qk8c1DbTgJDs74033mglHmENNJnk0qVL2/OCBQtaNpmSj9mzZ1uWmmnppi6Kmup99tknGEpD1jvEfBDOF+E4vitlLeXLl9/mEZahiOQHCqRFRERSZMWKFVYvPHfuXKsNnjdvnvWKQd/OuwK9c4SBdxT9RP/1119uyZIlVk6BaACMfffd1/6SKS9atKg9p2FiFBl0yjmiwkBZRBRIi4iIpAxdzxFMUx9Nrx002iNIDbuyo4QilWg8SNBMyUbUZ5995ooUKWI3QeEGLATR9OUcRbCPWrVqWTkHGXTqnaPIVpNt/vTTT4MxIhKlQFpERCRFwuwvPVSQzaVcglrlsKFhIl3gVahQweqK6R0jM23atLHpCdq56cqff/7pHn30UetNo1evXlZGUbhwYXfNNddYyQd9S7NMBNF0h0eDw7p169q8GGa5ueMhdd70/9yvXz9rtEhvHiKyPQXSIiIiKUJZB71f0HMF9cUlSpSwPqH/7//+z16nL+bMUDpBLTEZ5cxQnsHdAv/991+76Qmfd9VVV1kATM8dIbqfo2aa4JrlIjg+/PDDt+lJhC7xbrvtNuupg7pobpxCP9U0ThSR+Aps2bIlfsuHCPrCzAwNITgLph5MREQkP6LhIN3M0SXdjpAZpj6ZuwmGtci7GiUl9JRRpUqVbW68EkVGfPHixa5MmTIWrMdDzfQPP/yQrcsukt2IbRPZljOjjLSIiEiK0VsFGd/sDES5OQu35M4oiAY9eDBNRkE0qOnO7mUXyasUSIuIiIiIJEGBtIiIiIhIEhRIi4iIiIgkQYG0iIiIiEgSFEiLiIiIiCRBgbSIiIiISBIUSIuIiIiIJEGBtIiIiIhIElJ2Z8NWrVq51157zXXv3j0YI7J7mDRpkqtevbo77LDDgjEikl9xB9+mTZu6Zs2aBWNEJC8aMmRISu5smLJAmp3KnDlzgiERERERkdwrV90iPDw79zxPDz12qwfYGOO9poceeuSvh7Z3PfTIH49UUY20iIiIiEgSFEiLiIiIiCRBgbSIiIiISBIUSIuIiIiIJEGBtIiIiIhIEhRIi4iIiIgkQYG0iIiIiEgSFEiLiIiIiCRBgbSIiIiISBIUSIuIiIiIJCFPBdJbtmxJ6W0dJWv++++/4JmIiIiI5JlA+vfff3eVK1d2ixcvtuFrr73WnXbaafY8nkaNGrnbb789GEqdJUuWpC9DVnzwwQfu33//tec//vijq127tnvvvfdsOC9Yv369q1q1qlu0aFEwRnbG8uXL3dFHH+1+/vnnYMxWX375pevYsaOrVauWa968uXvmmWeCV0Qkr9nRts6xpFu3bvb6CSec4EaMGOE2b94cvJrm448/du3atXNHHnmkO/XUU9348eODV3atQYMGuUqVKrkDDjjAde7c2W3YsCF4RUSi8kwg3bdvX9uZVKlSxYZ/+OEH99VXX9nzeD777DP3yy+/BEOpsWzZMlejRg339ddfB2MS8+qrr7rjjjsuPZDeuHGjLd+6detsOC8oUaKEu/76690ll1yiqwI7afXq1e6MM85wX3zxRfpvIvT555/bSSAnjvzm69Sp47p06eJuu+22YAoRySt2tK1///33rmHDhnY8YVtv0qSJu+GGG+x56J133nGNGzd23377rbv88stt38D+4Oabbw6m2DU4mSdgnzlzpgXyr7/+erYF8CJ5TZ4IpNkJkZUjC52T/vrrL/fnn38GQ4lbuXJlvgg+yZx88803buLEicEYyaqpU6e6unXrZngydsstt1gWaNKkSXbAvPvuu12PHj3cXXfdpdIakTwks22d41nZsmXdrFmzXNeuXd0dd9zhbrrpJjdq1Kj0JAvJi3Llyrn333/f9erVy916663uySeftGmzmtDJCrLfCxYssKuQnAyQja5Zs2bwqohE5UggTYb2ggsusDN1diaUS+zIsGHD7LJX+fLlgzFZ8+yzz7oBAwYEQ1vNnj3bXXPNNXYp7amnnrIHZ+DnnnuuO+uss9zw4cMtewyy22GpyOjRo92DDz5oz0Ggf+WVV7oWLVq4iy66yE2fPj14xdlO8oUXXrDn7BTZuYb++ecf+24tW7Z07du3dy+99FLwylZkKK+44gorY2HezC9q4MCBVjYyYcIEy9izTlnuaPbj8ccf32Z5wffp06eP++6774IxzpabHTqfRdAc/R4oUqSIa9OmjQV3knWffPKJ/a/5LT/66KPB2G3xO+JAWrhw4WCMcxUqVLATuOilVa6OkJU688wz3fnnn2+/sfBkjZKhwYMHu6VLl9r/+PTTT7csFwfENWvW2DbHb7V3797u119/tfeISOpktq1TKvfaa6+5q6++2hUrViwY62x7JVmx1157uU2bNtm+vVOnTm7vvfcOpnC2D95jjz3cyy+/HIxJO5Y89NBD9to555xjx5W///7bXiORw3w5zt555522XBxLOG5xcn7ffffZcePCCy90c+fOtfeEOHY2a9bM3X///a5BgwbBWBGJyvZAmh3H2Wefbc+PPfZYN23aNFe/fv0MyzDYQRAktm3bNhiTdQQlnMF/9NFHwZg0XC7nrLtQoUJ26YqaMHZC1apVs/pUghECFQIUHmHtGjufMDv4xBNP2OV3dkpcpvvtt9+sjo3PAw0kw2l5P8Ohyy67zL344ot29k9AQyA8bty44FVnO1p2XmQeuOzHjvHkk092I0eODKZwtpNmPgRHBx10kJVg9OvXz9ZziOwmnxO1YsUK24GGJzEE8QRcBQsWdCeddJL7448/7Hs899xz9nqI/wM7d9VKZx0BMZdMn376aVe6dOlg7LaaNm1qB98Q0z/88MP2OwwPpqx7auyff/55++2VLFnSTkzJZoGTL/63lBOtWrXKVa9e3U7+Wrdu7Y4//nir0ae9wZgxY1yrVq1UqiOSYplt62yjBMocA0ksde/e3a48UUZx6KGH2jGJ4wbHi2gQDfbRvL5w4UIbJmlCsEtZyMEHH+yOOOIIu4LFyTLHHE6e2R+wfyc5wutvv/227WtIGnESzj6CMhL2/eHJNfsTkj+TJ0+2kj4RyYC/oXqZPRLhB6EcjYOh+PyzdJvGP1sOxnje77//7u27776ev8EGY7Y1a9Yse8+8efOCMWn8gM7GFy1aNO6D1/wA06bduHGjfUbv3r1tGH4A6fk7JG/8+PE23KFDB3uPv6OxYcyYMcPGhdP4AYwN+4GpDa9evdorXry417Fjx23WE5/DvL/99lsb9oMYe9/69ett2A/ebdgPYtLf5+/wvKpVq3otW7a0YZa5bNmyXps2bWw4NHDgQPt+fiBsw+XKlfMqVarkrVu3zobRrVs3z9/5ps/bD6A8f6dpz0P+SYUtA+sX/smN5wfp9jzUuXNn+7yotWvX2vv84C4YI6wPfv9ZwW+I9/GbiscPgL2KFSt6BQoUsN/FsmXLglfS/lf+gdr+F6EhQ4bY78I/AbL/DfMePnx48Krn3Xrrrdst54MPPmjjli5dGowRkcxkdXuPt61PmDDBxrVv3z59P1+zZk0bd++99wZTeV61atU8P9je5vjCMYrp2K+D6dlPzJ0714YxZ84cm2bKlCnpx5tweviBtI3zA/D0efuBv4175pln0peP46YfnNtj5MiRNp1IfsFvPKvH7niyNSNN1hc0mgjts88+lhXOqIeN8KybWq1YpUqVckOHDo374Iw95AcYdvmbDF6YHSbzy/sp4QiRGaaXhBBn52QHyAzHQxkIddNkgP0dWTDWWWbA3zll+L7Qeeedl/4+LtVRT0emGFye55IcGWBafYcPMpNk6aNlF2QayESHyFJSChCWpSTCD9qcv/O1TDaZCdYTpS5+gBZMkYbs5/7776+M9C5G1olLtWSSySqRcSK7zO+K8iAu9/K/CHFFgt8Hv+kQVzhCZJxAVjrElRdwFUVEsk9YpkWDeUo5uCLIVU1662FbDrPClG9RH81+n8yxHzRbWQYZb45rIGPMVd1o6QVXtZgHx4ZQ9KpuuD/g+Bceg6L7A95H+RjLxxVIHpR+iMj2sjWQpmZzv/32c8WLFw/GpKHBBYFkPNR1Iho0hLjkRe1XvEfs/Kj9JTANA1AuubHTCndGIGiORblERjXc4c4u9n3UclPjRmCzI/7ZfvAsDSUoYflIWOpCwET3Q+GD8hFElyn20mF4EhGeNCSCRiwEXgRvXP4vU6aMrbOffvopmGIr/hcEdbLr8D/lIHfxxRdb4MwJJSUebA+cINEgMYo6S05Ko9jWQgTmiP5WwnH+CbX9FZHswfEBHKvCbZLtsX///lbyQfsd0O3c2LFjLXFBIEuj+7BcJNzeOa7G7g/A8SIqK/sDjq0cx6KP2OO2iKTJ1kCaoJVMaeyBe+3atRkGfWF92M72YUm2l746aTxB13OcadMrQhTZ5Vh0QxYviEfYSITljyJjzPJm9L5EhAH+G2+8YZmB2ActuBNFxoFMZhTLGMVOmXposhH0ykHjR2rTTznllO3+X/wPd+a7SXys5/nz51sNc9Rhhx1mJ5t0gRX+LmisFMX2Q117VHhgFJHc5ZBDDrG/0eAWYXIlun8mA82JNONo50O2mX0EV1DBPiF2fwBqo6O0PxDZNbJ1y6LkgJ0BDSqiuGyVUWNCLmGBbPLOIsNKw7vx48dbVz6xrZBpaR22dAYBK8ELDUIQuyPichrefPNN+xuaMWOGBUV8XySzA6tXr579ZV1FswKUfvTs2TNLpRX0thG7U+VkIoreImjESIBMY1AaMVLWwedwMhEiIGdesdkO2Xmc8FB6QVYqit8hJzg0JOL/wxWQd999N3g1DRksskuffvppMEZEciuSOgTRlAdGhb1m0Ngd7JfJWkdRMshxiiQHOM5wAh5NNpEUOvDAA60URER2rWwNpAmWuQR16aWXWqtlMpvcyYmggFbL8RDEEmDEBt/JoEyCHQwtmGOz0SBApHUygQt3nOKyGhlxuoJDmB1nRzZv3jzbgdGLBjXRBOhkBagzJtBlR0mvFwjfR112tLu5HaEmnK6M6FmELDrzphU4l/eoVwvr2RJxzDHHWAaeelvKTWglTjdIUeyE6SKQkwJKB7hZAN0rkQ2NlqCErc25SYCkHr8dTvQee+wx+z/QfoCrAwTQYdsC6tipi2Tb4WoI01Cnz80a6M1DRHI3yvjoepWuLun5iW2dIJptm/YQXEEFNyCjpGvKlCm236X7U8q96KXn8MMPt2kItrkaxXGVckOSThxPuWJKrxwismtlayBNXRjd3ZEh5YybBnJkPR955BHr2zIeMtLsVMKasZ1BIzmy3+y02BHF4lIZr/GZ7MDI/lJTTb0wuLxO3So7P4JcUP5w4oknWhaXYIcGikcddZTVtYZ9AbNjJDCmP2huuJEoOt7n5INLe8yb+bIOWaas1Kuxg2X9snMlk0xARhAWxTAnBQT/7IBZXrpVivZVirfeessCa7rjk9Sjuym6neLgyP+BKyeccHKCQ70+6CaLEywaIlGSwzT8tuP1Qy4iuRPb+o033mhlemzrnAgTHHMiHaKvdxI5HLc4bpKFpotWkiIhTp7Z9tk3k4XmBi6UgJAwCa/oisiuU4Cub4LnGQpb9e4IfS4TFMfW02aEM2cuT1ErFu1hIx52GmRLaVQRvVFFMjp06GBZ6dgeNehBg7ozsr009KOEgUvp8ZC53nPPPdMbjICMAN+JQDXagCPEeqGBHoFPVr8D2WgaFxLQEzAli2w0GUxOEjJa5wRtfBa9P8Qr36CchZ5N6BlF0rB9DBo0yLaBVOEkhqsi/MbiNSQCZVLcKp8TvNiGqyKya6R6e+c4yLbO/p3yvXi40yH7ZXpXIqkSD8cY5kPAHZ50i0jGUrUtZ2tGOoozZbKemQXRICPLGXuyGTd2MDy4dPbKK6/YDUx2hJ1QRkE0CFqiQTTCzGC8IBr8wwiCkzkRIHNfo0aNnQqiwU6aUo0drXPKUMiKxAuiKa+hjCB6sxfZNTgY8n/IKIgGjYyYRkG0SN7FsYSroRkF0SB45viSURANjjEkSRREi2SvHAuks4KggoZwnDmE3cNlBV2GEXRw6Yyu3bhMJlnHZUhqq8mAioiIiOzu8kQgjTPOOMMCuYxuJb4jXDKjDptbItMokDP3WDQYVAvnjHFpkf8BtbsiIiIikocCaVDiUbly5WAoa2iwQU8dlIjEQ+NHereQ+LikSMOXeCchIiIiIrujPBVIi4iIiIjkFgqkRURERESSoEBaRERERCQJCqRFRERERJKgQFpEREREJAkpu7MhPWJwS2v6ehbZnXBHz6ZNm9qt4EUkf9P2LpI/sC2n4s6GKQuk2anMmTMnGBIRERERyb1yVSAtIiIiIrI7UY20iIiIiEgSFEiLiIiIiCRBgbSIiIiISBIUSIuIiIiIJEGBtIiIiIhIEhRIi4iIiIgkQYG0iIiIiEgSFEiLiIiIiCRBgbSIiIiISBIUSIuIiIiIJEGBtIiIiIhIEhRIi4iIiIgkQYG0iIiIiEgSFEiLiIiIiCRBgbSIiIiISJY59/+X/FNCsUYX1wAAAABJRU5ErkJggg==[/img]

Reflexion

Aufgabe
1. Überlege dir, welche Aufgabe dir am einfachsten und welche am schwersten gefallen[br] ist. Notiere jeweils, warum das so war.[br] 2. Schreibe deine Lieblingsaufgabe mit der vollständigen Lösung ab. Erkläre, warum dir[br] diese Aufgabe besonders gut gefallen hat.[br] 3. Überlege dir, warum dir die eine bestimmte Aufgabe schwer gefallen ist. Schreibe[br] deine Gedanken dazu auf und überlege, welche Hilfsmittel dir beim nächsten Mal[br] helfen könnten

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