allgemeine Regeln: Addition und Subtraktion in Z

Machen Sie sich klar: Nicht jede Rechnung lässt sich am Zahlenstrahl gut darstellen![br][br][u]Bsp.:[br][/u]Die Rechnung [math]5-9=-4[/math] lässt sich gut am Zahlenstrahl darstellen und überlegen:
Dagegen lässt sich die Rechnung [math]5-307=-302[/math] aufgrund des Maßstabs am Zahlenstrahl nur schlecht darstellen und damit auch schlecht damit wirklich berechnen:
Daher benötigt man also ein allgemeines Vorgehen, wie man jede Rechnung auch ohne den Zahlenstrahl berechnen kann.[br][br][b]Sie wissen bereits: [/b]Addiert oder Subtrahiert man eine ganze Zahl, so trifft das Rechenzeichen (+ oder -) auf ein Vorzeichen der zweiten Zahl (+ oder -). Dieses aufeinandertreffen kann man mit der ihnen bekannten Vorzeichentabelle auflösen:[br]
Vorzeichentabelle
Vervollständigen Sie die Tabelle![br][img]data:image/png;base64,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[/img]
Jede Rechnung kann also entweder in die Form "Zahl + Zahl" oder "Zahl - Zahl" gebracht werden. Dabei können 4 Fälle auftreten:[br][br][list=1][*]Beide Zahlen sind positiv (z.B. 3+5) [/*][*]Beide Zahlen sind negativ (z.B. -3-5)[/*][*]Beide haben ein unterschiedliches Vorzeichen und das Minuszeichen steht bei der betragsmäßig größeren Zahl. (z.B. 3-5) [/*][*]Beide haben ein unterschiedliches Vorzeichen und das Minuszeichen steht bei der betragsmäßig kleineren Zahl. (z.B. -3+5)[/*][/list][br]
Nehmen Sie sich nun ein Schmierpapier und zeichnen die Rechnungen für die vier Fälle als Zahlenstrahldarstellung! Ordnen Sie dann jeder der drei Fälle einen der folgenden Sätze zu:[br](Eine ausführliche Musterlösung finden sie durch einen Klick auf "Antwort überprüfen")[br][br][list][*]Wenn wir die Reihenfolge tauschen (Kommutativgesetz!) so entsteht eine „ganz normale“ Differenz bei der wir von der größeren Zahl die kleinere abziehen. Dadurch können wir also „wie gewohnt“ rechnen.[/*][*]Wir starten "links" und gehen noch weiter nach links. Dadurch wird die Zahl also „noch negativer“, so dass ihr Betrag größer wird. Wir können also einfach die Beträge der Zahlen addieren und geben dem Endergebnis ein negatives Vorzeichen.[/*][*]Wir können ganz normal "wie gewohnt" rechnen.[/*][*]Tauscht man die Reihenfolge, so entspricht die negative Zahl der „Startzahl“. Dann wird durch die Addition der anderen Zahl Betrag auf jeden Fall kleiner, so dass wir also einfach den Betrag der kleineren Zahl vom Betrag der größeren Zahl abziehen und dem Ergebnis ein Minuszeichen geben können.[br][br][br][br][/*][/list]
Insgesamt folgt also als Regel:
Im Grunde genommen muss man also nach wie vor nur addieren oder subtrahieren können.[br][br]Bevor wir diese allgemeine Rechnung mit den neu gelernten Regeln in den [b]ganzen Zahlen [math]\mathbb{Z}[/math][/b] anwenden können, müssen wir so ein allgemeines Verfahren erst einmal in den [b]natürlichen Zahlen [math]\mathbb{N}[/math][/b] aus der Grundschule wiederholen.[br][br]Wenn Sie in der Gruppe "Addition" sind, machen Sie nun hier weiter: [url=https://www.geogebra.org/m/cvbnfs3u#material/yzbzsypj]schriftliche Addition in N[/url].[br][br]Wenn Sie in der Gruppe "Subtraktion" sind, machen Sie nun hier weiter: [url=https://www.geogebra.org/m/cvbnfs3u#material/yfpjankw]schriftliche Subtraktion in N[/url].[br]

Allgemeine Regeln: Vorzeichen bei Multiplikation und Division

Machen Sie sich klar: Der Zahlenstrahl hilft uns zwar bei der Addition und Subtraktion von Zahlen, bei der Multiplikation und Division kann er uns aber nur begrenzt helfen. [br][br]Eine einfache Multiplikation wie [math]3\cdot2[/math] kann als "3 mal 2 Schritte nach rechts" aufgefasst werden. Dann kann diese noch im Zahlenstrahl dargestellt und berechnet werden:
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[/img][br]Also ist [math]3\cdot2=6[/math]
Auch eine Multiplikation wie [math]3\cdot\left(-2\right)[/math] kann anders aufgefasst werden: Hier kann man sich "3 mal 2 Schritte nach [b][u]links[/u][/b]" denken. Damit kann auch diese Rechnung am Zahlenstrahl behandelt werden:
[img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA1UAAADxCAYAAAAjmp2jAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFiUAABYlAUlSJPAAAN/USURBVHhe7P13vCVJed+Pf6pPPueGuTM3z8zuzk4Ou7PAwgJLXAxiQUiAABMksIRtrGzJlrC+RgJbEWHxVfjJli1jGZAFQogohH9IAgRaJMLGmd2d2ck3TrzxnM5V9f2jum/oc27XUzNzJ+zW264Xq65nnvt0hafrqerTD5NSSlgsFovFYrFYLBaL5bJwshcsFovFYrFYLBaLxULHBlUWi8VisVgsFovFcgXYoMpisVgsFovFYrFYrgAbVFksFovFYrFYLBbLFWCDKovFYrFYLBaLxWK5AmxQZbFYLBaLxWKxWCxXgA2qLBaLxWKxWCwWi+UKMA6qhBDwPC97uSNSSvh+ACFEtqqNZrOFp46eyF7uCOccvh9kL3dECAHfDyGEPh1XFMVkvVEUIwyj7OWOtJouxscmEcdxtqqNIAjJesMwIukEgDjmCIIwe7kjnueT9Y6PT6HZbGUvd8TzfNJYAIBWywXnNNkgCEBJtyalhOt6JFkAePDBxxDHPHu5I74fgKJWSolWy81eXpPFRVrbIhk7FHw/wKOPPp693BEpJbl/pZTkscs5h+vS/AjnHK0WTXZmZg6TE9PZyx2Jogie52cvd8RENgwjcjsEQUj2OWNnJjAxPpW93JEgCBFFtDnseT7ZXs/zyXp9PwDntPnzyMOHMT+3kL3cERPf4Loe2ecsLjZJskIIsl8AgEOPPUHSi8QGCpwLso9G0mYUpJRkG1otF7Mzc9nLHRGC7veEEGg2abKqHWh9oXwObQ7Pzs7j6JHj2csdiWNOtiGKItJ8F0KtnajPqiiKyXNt7MwkpqfPZy+3wbkwsiEMI/K8VGsMvb2cq3UL0QSMjU2Sn4OtFs03xHFM1onk3qht1my6JNlLl2YxOUl7rkkpyc8q3w/IfsRkzaviBJoNJ0+cJq8xooj+bDWxgRqnUDAOqiwWi8VisVgsFovFsoxxUOU4DorFYvZyRxhjKJWKcBz9nykWiygUCtnLHSkUCiiWaDY4jpPYwLJVbZRKRbLeUqmIElE2vTdKu5noLZWKJJ0AUCwWyHqLRbpe6n0BQJE4FrDUZjTZUqkIxvT9yxhDsUiTBQDmMBSLtDGpbMhebSe1gYqJLLl/DfrBxN50vlMwGTcmssVigexHTOc7XbZEbgcTvYWC2b1RbSiayBbpsqUS3aebPFdMfEOxSB/rVFllK+2+kMhT9MJgvhcK9PaCgV6T+V4sFsnt4Dh0vSZjQbUDzQYzP0Ifu8VigWwDdV46jvKl1GeVyVyj+pFCwUHR2Ab6OKe0WaGg1i1EE5bkKVDnu4nPQ+JPqW1WJK5HTJ5rjDHyM6VosIakjl2kc5goazIvjW0w0EsZCxSYJJw9Xjh/CUKqozEpgTiOUCqVsmLtSIko5snAyVauxvcDzFyaxejm4WxVG1JK8JiTOk3ZG6NYLGgHL+cCUgiSXs4FICUKBMcQ+CEWF5vYuKlPG9zFcQwGRtLLYw7mMNJgEEJCCNUXOqIoQqFQIOm9eHEG3V0NVKqVbFUbURihWCppxwKS15fK5TJJNo5jFAsFaIWlRBhFKJdKelkAJ46fxrbbb9X2GZKj8VKxCGhE01fkKpVytqojvhegWtO3LdJ2IPRvHMWYmJzCbbfdkq1qR0r4QYgqoX8hJTgXpLErpUQUxSiX9X7EpM2azRaCIMSmTX3ZqjY45xBcoESwwUg2FgCTpIdgnLxKR/E5Fy9cAmMONvXr7y2OYjDHIS1yojCC4zikfouiCI5ToOmNaH6XATh58gyGhwdRq9ey1W0o31DS6kXySlKJ6HN8z0elWtXKSikhpVr4Ujhzehy33LpVqxeJDdVaNXu5DWWDJPloJG1GmT9IXtmn2BAEIeIoQqOrka1qw2QOS6l0V6s0WdUO+sY18Tmtlov5uQXSeiT9aQHFBs45hBDa9ZOUEnGcPlP0eoWUYMmCWsfFCzMoFgvY0NebrVqFWmclzxSC3jjmKBQKFNFkjaHf7JZSgnOOYkH/bEVybxv6ekjPwSCIEj+SrVmNEAJCCJJOJP60VKK1me+HqFb065HmYhNBFGHTRr3vRzLOKc+qOIrhFGibPpwLSClJwbCUQBxFJBvOnT2P3g29pDUG5xyQID2rTGIV6rMKAIaGBrKXVkEKqiYmpiGEev9VCokopjkm5cQ4SsUCmGby+H6I+bl5DA3nG4xkkPNYoFTWD3IhJOKYZgOPOYSQJL085pDJDoKOwA/Rarno3dCjXYxEUZzsFur1xjEHYyrS1yG4ABeCFOWHYYRCwSHpnZmZQ6NeR4XwAAwD5Wx0/YDkgV0qlbROFwYTIn2wUxdkZ85MYMuWUW2fAUAYxqQdNSklwiAitRcMg6ooUjboiMIY585dwJatI9mqNqSUyQJHb4N6AArS2BVcIIo5KhW9HxFcIIpiUpu1mi7CMELfxvwFA5L5I7hAmWADjzk4UTb9rQClHaIoBiRIPmfm0iwYc0j3FkUxHEbbnAmDCA5xxz8MIxSIAVgYxigWHDiE+TM+NoX+/o2o1WmLeerOoonP8b0AlUpZKyuEgJRqJ5/C5MQ0RkeHtXphMN8FF5CgBe5InkGU+SOlROCHJBsCPwTnMeqNeraqDSnUhhYpqBISQRiRgirBZdIO+r4QQiCOOGkOuy0Pi4tN0nok/R0RxQYec3AhtOundJ2lnin6cRPHAo6jdud1zFyag1MoYMOG7mzVKtQ6S21e02zgcJgDp6CXVWsM/eaMEEIFVUV98IPk3rp7ukjPwSCIUCb4BhUIS5JOpD6nTGsz3w9RqejXI81mC1EYk3y/lBJRGJPGeRTGcAqM5EdM1rxSJBsYBBsunL+E7p4u0hrD2AZirBKGMYpFWnB5yy1bspdWQQqq1I/0EjEJBFGISlnv8JDsSJSKJe0ug+v6ODt9DrdvvzVb1cbSLg4hAk1PqiinCCrw4CS9Jg81zw0wNzeHoeEBbafFsQqqKHo552CMdlIlhQQnnlSFYYRikXZSNT19Hr29PagTFkNhGKJcKmv7AQA8L0C1WiE50jiOUCzq+wyAOnUhPNgB4LHHnsSBA3uIgR1tRwTJvdUIixYAaLV8NBr6toXBSVUURTh27BT27duVreqI6/qk/kUyJiljV8pk4UToCynVw6dW08vOzy/C93ziYigJlAhOV3COmHOUCX5PLbJoviGOY0gpSWNnavIsHMfB8MhgtqqNOI6TBY5+DodhmCxw9PaGYYhioUjSG0VqXlLm8OOHj+LWW7egq1t/6mHiG9ROMM3ntFoeGvWaVladjgAE9wgAOPLkMezZs1OrF6kNDf1pnbJBkHw0jH0OzQbPCxCFIXp68xfngFo3eD7RBgm4XoB6XS9r0hdqgyhGtaqfawsLTVw4fwnbd+jXI+qkipFsEFwFVdr5LoGIuMuOxOc4DtMuzgFgavIcSuUSBgY2ZqtWYbLTj8SfOg7tpCoMQxSLZW2bSQlwTnuuAcDU1DkMDm4iyXteiFpV7xtMT6rCUL1lQ8F1aeN8bm4BQRBoT0lSqDaYvJVksuaFBMKIZsPYmQn0D/ST1hiCq6CKakMQRagQnu8mz6pKJb+/SEFVliDwUanoGwAGndtyXUxNnMXOXbdnq9pQJ2ARSS+SIIGycOJcgPOYpNfkKNRteZiZUa826gZvFEVgjLZrHMccjsHrf5zTAtEgCJJTIr3eiYlp9PX1okHYrQyCQDsgUzzPQ7VaIw3yKApRKun7DAB830e1Shu7Dz10CHfddYAUVFHHOZJ7q9X0ixYkXwfq6tK3LQwCuzAMceTIcdx5575sVUdarotGnWZDHHPS2FULnIDUFzJ5JalGeCVpdnYenuuRXtvhnCOOY9KYNJGNYxVUUdohiiJIKUljZ3xsEo7jYPMW/QmjyWt6QRCgUKD9xiEIAhSLJZLeMFSnzZSF3qOPPI5t224hLdBNfIPJfG82W+givMqGxJ9S/AIAHD70JA7csTd7uSNUG8yDKhOfQ7PB8zwEfqh9jSzF9TzUiTa03CTA1aDagdYXJqfuc3MLOH/uAnbt3p6tasP09T9O3JwxeaYIIcAYLagaH5tCqVzCsGbjSUr1bKXaYPL6n1pjlLVtpjbQOfmUaHx8CsPDA6TnoOf5pGdKelpG0QnDdQ51nM/MzMH3fYyO6p9rMLBBBbe0U3+TNS8MbDh18gwGhwdIawzOOaSknVTBwAaTuaZD35IZVNROi8OklMlvefSfKpRCvSNOwcSGVJYib65Xf19I2kG1hV6e2l4wtMHs3ug2pPdGwUSvqSzFhnQ8UmSxJG9iQ/ZqO6kNVKi2YsXDXYdpG0iiXrP2MhmPdFmz8UjXay5LbQf6eDC7N5O+uP6yN8K9UcevSf/CQC8M5rupDes1xoxkiTYIIYxkqe2gZGl6zdrh6tuQ+oX1sIF6b6mtFFkY2kCdl6lOognJXKMJm9lA0wnDeUFd91L7DOvUBjDuX3qbSYM1xnrZYNIOOoyDKovFYrFYLBbLjQFxvW2xWNYZG1RZLBaLxWKxWCwWyxVggyqLxWKxWCwWi8ViuQJsUGWxWCwWi8VisVgsV4ANqiwWi8VisVgsFovlCjAOqhjTJn9eIv28J1WeiqkN1E+NUmRSjGxI/5cgr/QSBJfuLXv1yjG5N1Po93b1ZdP7osimmMlmr7SzXn0G4t+HgRwM7TWTpdtBlTPF1AaqLLA+7WCCiV5zWZqwiawpVL0m9wbiWKPIZDGxl4LpfVGh2gkDW2Gs10yWKk8UM0b1BU05td9SX0rV6zh0WSqpPqpeE3upsml7EUSXoOhNocia/n0Q9aYYiJIwsfdGkIVBG5joTecQBaWXKKyBlKcqjjnS5L/SIL8MksTB5bIuVwlDq9XC9PQ57Ny5HVLmf9pQCIEoSnPG5JsvpUQYqqzKuSYk98k5J+mNYw4pKVm2GdyWi9nZOQyPDGqSljGEYQjGWJITId+GKIrhONREwSrXgj5fF4Pv+yiVilq9jDFMjE9jQ18PGo2G1l7fD1CplDVjAarNXBfValWbxwKGOQaouSkYY3j44cO44469pJw8QRCiQkhkCwCu66FOyE0BwzxV1HxsQRDi2LGTuOOOvaTPtLZaLikPGZIxqZ8Tag4HQZjkzsm3QQgB3w+TNsuTZZidnYPn+di8eVh7b3EcI4554suunmwUKX+pbwc136WUWp/DmIPxsQkwx8GWLaNaHxmGERyHku9OzfdCoUCy1/d9FIuUnFYsyUWjz4HiOA4efeRx3HrrFvT09uS2g6lv8Dw/SRSsk2VoNptoNOpa2fSTxRS/ADA8/vgR7Nu3S6sXBjmi1GebhdZHp5j5HJoNrushDKIkT1Ven6mv03meh3q9TpCVcF0/8Tn5sunnqyl9oXxOlPj/tfUyxjA7O48LFy5i167tWj+ikn2DZEMcx+BcaOe7lOq5Rn2mcM7BmD5npfIjkyiWihgZGcy9NyFUPlCqDVEUJ4lkdeM8XWPo890JIRDHlHWLYmJiGoOD/cl6YO17U37EQ62m9w0mSeKRrHMoudBATrTNMDMzh8D3MTI6lK3sCNWGIAhRLNISv9PXvGmcQMkJx3D61BkMDPaT1pBxHENKGNqQP99BjlMUuiTQ+SN6CZWDR8r0e+7J1eTaWkU5vOX/Xaso/el3+PNll/WZyKqkZdm6bDHVm34DP1u3sgASYilPVb582g5KLt8GLH1bP19uudDk0r9rqldnb1ooepd16WXlir7IXs+WVI4iq4qZLMXedIxlr69d1kOWboNqL/p8p7ZXKksZN2mb6WRNx41MdOv1mtkr5XJ+jPa6lXrT9tLrTX0DRXa56OVW29Bev5Zsti5bVvqybF17WdapuzcT/5TeD02WrpfaBtK4HQAh2q91LnSdqXz7tfZiolMICQnaeEz1Xm1Z9WxXeYx0hTrXlouJnF4WK4JAnQ3C8FlFlU3HIwj2pvdF0btSvv366pL6kTT/VF5Zbof2us6F5qdN5mXaZ9nreYWiVxW9DViaY/lyJjpXy2avdS7UMaYKzd6V/aDrM2loQ9pvV1uvDtJJ1UoRtdsTkLKzyyRSLJdL2h2UZrOFqamz2LVLn8Gcc44oiglRsLI3PanS7aBEUQzOOUlvFMWQUpJ2L1pNFzMzsxgZHdJGuUGgTqooetVuNNPqxKpTOP2uk+epkyqK3vHxKfT19ZJ2Nj3PR6VS1o4FJKcj1WpVu5OFJGt2uaw/AZNSLp1U6WQB4KEHH8OdB/cTduXTU7iK9jRUSgnX9cgnP4uLLXR369sWBqdlvh/gqadO4M4792Wr2pBSotVySf0rpUQUqbmmg3OOIEhPn/LhnMP3Q8KOnso877keNm8ZyVa1EUUR4piTTi5NZMMwAgBSOwSBOqmi+JyxMxNwHAdbto5mq9oIghCO45B29DxPnVRR7PU8dVJF0ev76qSKsgv66COP47bbtqJ3Q0+2qg0T3+C6HqrVCsnnLC6qkyqdbJpUkuIXAODQoSexf/9urV4kNnR3d2Uvt8G5CiYoPhoGp81SSjSbLZINrZaLMAjRt3FDtqoNISQ8j+b3hBBwXZ90Qq/agdYXyudEqNf1c3h2dh7nz1/A7t07slVtqDd5QLIhiiJwLrTzXQi5dFJFeVaZvLUydmYSpXIJIyOD2apVcC6WTqooNoRhhEKhQJqXao1R0rYZ5zw5qSprn60AMDY2iaGhAdJzsNVSJ1W6ebl8uqjXCaPTcfUmSqNR08peujQL3/exebP+uSalhO8HpGeV7wcoFgskP2Ky5l1+E0Vvw8kTpzE4NEBaY0RRBClpz1YTG3w/IMUpSE6y89BrSJRck4IO12yx5ToVdLj2dCnXdF4/44rT4ZoteeVpPR6fzvf2dC430XrEcdqv2WKLLVe/6CAFVRaLxWKxWCwWi8Vi6YwNqiwWi+Wqon2j2mKxWK4a+h9xWCyWa4ENqiwWi8VisVgsFovlCrBBlcVisVgsFovFYrFcATaoslgslquK/sesFovFYrFYnl7YoMpisVgsFovFYrFYrgAbVFksFovFYrHcpBC+9GyxWK4BpKBKZRJenSFZXU+vrV0ocst/J5Vfq7T/u+y1TmV1RurOZWXGap3elbr0slBZ5wm6k9oVejuVrA1r62vXrZNNZXRlWecK1R30ZUtWT+eykmzd2oWun1KSv952fa2ibKXLU4tJG1Blk1tbYXN+/6Rkr7eXVEe23zsVJUe1IRFtu5atV0J62ey/y15bq375v9e2eeXX/7J17XoNZZP/I1u/VtHJpnrpsnq5VGZ5/mT7fnVJJJdaLaurXW+qs70+q3dZ39r9lYpmr+UVqjxVbnXpbOPKcnl6aUXpXrutlku2jfNLu+zafULVufrfrh5XnUo6N7PXV+pZtjOV1ZWV/361rpUl1bWs/2qUTn977aL+8Eob2mWWZfPaqr2kyrPXs4Xyty+vLOvU6afaqkq2rXWFLquzM5VZD3tN15B0ObrsyvuitAX13lYWut7stc5FB5MEqTCMliaYEBJBEKBer2n/gJQSYRihVCrBcdbeSmGModls4ez0eezavR2cqwzla6Eyfceo1SpaG4QQCMM4yZacZwMQhipztk6vkuWQUqJSKSJHFIwxtFouZmfnMTQ0gFKpsKY8YwxBEABgqFTKBBsiAA5Kpfys5EjajHOuzUTNGIPn+SgWi9ps547jYGJiCr29vejqqufaK6XKWl2p6LNWqzbzUK2WtbIAEAShdowhscHzfNRq+mznjuPg4YcP4cCBPaQs9UEQoVwuaXcMpZRwXR+NRi1b1ZFm00NXF002CCJUKvn9i6S9jh87hTvu3AshRLZ6Fam9XV21NcdtipQSUcRRLuuzs3Ousp03Gno/wjlPZPPHGGMMs7Pz8FwPm7eMaO8tijjiOEa9XtXoVb4hjrlWFknmeUBlns8TZYzB90MAEtVqvs8pFAoYOzMO5hSwdeuoxkcyBEEIx2Eol/X+yXV9FIsOymWdz1GypVIBxaKujxl8P0CpVNDOn0KhgEceOYxbb92C3t4erQ2tlodKpYxCId83MAa4boBKpaz1DYwxLCy00GjUtLJCCAgBFIv5fx+J3scPH8WevTtIvmxx0UVXV13rRziXEEKQfD8AtFoeyedIKdFseujurmer2nBbHsIoQl9fb26fIVk3+H5Amu9CCHie8g2rIoAOcC4gpdQ+q5DIhmGkncOO42B2dh4Xzl/Ert3btX4kjgUAvQ2pHxFCaOe7EGrtVKmUtM8qJL7McdRcyqNQKODMmQmUSiWMjg6C87XvTQi1zlLPNb0NYRijUHAI85K+xuBcII7VuoVgAiYnz2JgYCMqlfz2NVljxDEH54L0bAUA3w/J/dZqeajXa7n3xhjDzMwcfD/AyMhgtroNmay1arVKtmoVjAGeF5D6AckYk1KSnu9pnFCrVbNVq2CM4dTJMQwMbkJXVyO3z5A8W6UEyQbqfEfSZ+VyUTsWAKBcLmcvrYIUVK18gAshksaiOeggCJOAJt/YlUGVzolxzhFFMarV/EEDg6AKSYdxzkl6VeeqhZOONKgaHh7QLkaCIARjjKQ3DCM4DtPqxJJj4KhU8gcEoAKPUqmo1csYWxVU6fA8P1ng5I8FJM6mWq1oHTQABEGAcrmsdWJSyiSoqmplGWN46KFDuOOOvSSHoxxpOdc5YilI8dBo6NsLySKLssBBMnYo/ev7AY4dO4k779yndTZSSrRaHql/pZRLD2EdaaBUr+v9COccvp8usvKZnZ2H53nYvHlEe29RFCOOY63jB4AoihDHnCQbhstBlY4gCCGlCqrycByGsTOTYI6DrVtHIET+vamgykGplD+HkczLQqFAsjddDFH0qqCqqF3oMcbw6COP49bbVFClw8Q3uK5PWjgBwOJiGlTly6qgSr+ITnn88BHs3bdLqxeJDd3djezlNlQwIbQ+OqXVckk+R0qJZtMl2dBquQhDFVTpEEL5XsocFkLAdQPSZpJZUMURBGqRlQdLNmdUUHV77qYEkmcrAJINURSBcxVU5aGCqvSZonmoJL7McZh2rjmOsyqoyvMjavM6ItsQhhEKhQJpXqo1RknbZpzzJKjSP1sBYGJiGgMDm0jPwVbLQ61W0c7LOFab7RSdgApUqlVamzWbLhqNmlY2DapGR4eyVW1IqTYwKM8q3w9QLFI2yczWvCpOCEk2rAyqdERRlARVV9cG3w9IcQqSjYk8SEHVStYzqJqaPItdu7dnq9q46YKqpouZmVmMjA5pB+/NFFQBwPj4FPr6ekkTwiyoclGtVkkOej2CKgB48MHHcPDgfq3jRzIpK5WK1vGbB1W0RRYMg6qjR4/j4MH92ao2VFDlkvr3RgiqZmbmlk6qdJgESiay6xFUAcDYmQk4joMtW0ezVW3cTEEVADzy8GFs23YLejdQgiq6b3BdFYBRfM7iYhONRl0raxpUHXrsCew/sEerF4kN3d1d2cttrG9Q1SLZ0Gq5CIMQfRs3ZKvaUEEVze+poMonbeSsR1CFZHPm/LkL2L1nR7aqjRshqIrjGIzpgyoAGDsziVK5pD31uBmDqrGxSQwNDZCeg+sXVPmoVvVvw8AgqLp0aRa+72PzZv1z7WYLqk6eOI3BoQHSGuNGCKp0XLkGi8VisVgsFovFYnkGY4Mqi8ViuaoYHf5bLBbLFWH2vpHFYlkvbFBlsVgsFovFYrFYLFeADaosFovFYrFYLBaL5QqwQZXFYrFcVfJ/dGyxWCwWi+Xphw2qLBaLxWKxWCwWi+UKMA6qGGPazz+mpLIUeYpMClUnLsMGihwuS5Z2j+Z6rSxVNpWjyKZQZZXe7NV21uvvw0CWKgdDe62sYv1k6X1npvf6y8JgXJroXQ9ZqtxKqPImclRZrJPep7ssFVO9FNlUjiKLJI8dVZaq19SG9ZBdtiFb0xmqXhjIUuVSTOSpslQ53JSySp6Cmd71kdVBylMVhuHS12WkVN9+r1b1334HlvNUMZYfv7VaLs5On8eOndugM0kIlaeqUsnP9YDE3jRPla7RTPIRxLH6Zn+ppP9evtvyMDc3h6HhARQK+fkAwlDlqaLojSKVp0qnE0m+B85VvgcdKr9MQauXMYapybPo6e0m5R/xfZWnSjcWYJhfJgwDlEqUXBrLeap0r2gxxvDoo49j//7dpNwfQRAk4yZfLyDhuj4pPxOSPBaUfC1Ixo7K35BvQxCEOH78FA4c2E34apREq0VL2gmoPFWUsSuEylNFyXcnhMpTRWmzubkF+J6PkdEhrR+JY5X8l+LL4ljlqaLIRpHKU0VpB+VbpdaXMcYwMTEJhxUwunlYe29hqPJUUfKP+L7KU0Wx1ySvSRCoPFWOkz9/GHNw6NATuOWWLejp0edHMvENKmcMzec0myr5r05WSpWniuIXAODJJ57Cnr07tHqR2EDJ1yKEylOl89EpruuR5g8g0WzSkn27rosojEm5xVSOwICUI0pKlfyX4nNUO9D6QvmciJS3Zn5+ERcuXMDOndu1c41zlaeKYkMcqzxVuvku5XKeKp0/BwDOVZ4q/VxjmJiYRqlUxNDQQO69CbGcp4piQxSpPFWUeen7Kk+Vrs2EWM5TRWFy8iwGBjaS5F3XR62m9w2cq3UhRScSH1mt0tpM5Y+raWXn5ubh+wGGh/NziykkfD/U5kJD4qOLRVouQZM1r0mcMHZmHJv6N5HWkHGs8lRdbRtUrlN9nAJAGx/oNayBdv2K5c985sxbYIUuis6VmMpTMdGrk12u1whmdOn0rhemf1cmn4+m/jvdWICBLlOo4/FykVJv+Hr97WX0NpiQ2kvpE5N7uxy9OtnlegNDCHpXQpOl/X3j+S4ZWTcVExt09StJZU3GBAh/Q1e/kvWSNbmny20HCjeKTpO2o8hS57spVL1pPbvKvnQlOhtSqP0hJV2WLqgwFNdCvXes+Nt0G5Sg7m+s57yEoV6d7PK9aAQTdPpuJBijz0tTTPVerXYjnVStFFFZigPSDrOUyydVut2LZrOFqcmz2LV7e7aqDc7VSRUlEhdi+aTKcfJbN4picM5Jek2yS7eaLmZmZjEyOqTd4Q0CdVJF0RuG6qRKpxNJ1nfOuTbKxlK28yJJ7/j4FPr6ekm7q56nTqp0YwHJDk61WiVlZ1e7DPqTKrVbqk6qdLIA8NBDh3Dnnfu0Wd+R7E5VKhXtBJZSwnU90q4MACwuttDdrW9bJGOH0r++H+Do0RM4eHBftqoNKSVaLZfUv1KqkyrK2OVcnVRRds85VydVlJ3rmZk5eK6HzVv0meejSJ0+UXauTWTDUJ1UUdohCNRJFcXnjJ2ZgOM42LJ1NFvVRhCok6pSST+HPU+dVFHs9TwfxWKRpFedeNN2QR955HFsu20r6dTDxDeYnGotLjbRaNS1skKokyqKXwCAQ489if0Hdmv1IrGhu1t/Wse5Oqmi+Ggs7YjrfY6UEs1mi2RDq+UiDEL0bdyQrWpDCAnPo/k9IQRc1yedlnHOISVIfaF8TkQ6LZudncf5cxewe8+ObFUbcaxOqig2RJE6qdLNdyGWT6ooz6o4VidVlLk2dmYSpXIJIyP5px6cL59UUWwIQ3VSRZmXao1R0rYZ58snVQQTMDY2iaGhAdJzsNXyUKvpfYPJG0xYOh2vkNqs2VQnVTrZS5dm4fs+Nm/WP9eklPD9gPSsMnnzwGTNq+KEkGTDyROnMTg0QFpjRJE6qbraNvi+OqnSjQUA2r7Sa0iU2GLLM608vcf+0/nebLnpip1rtthiiy223OBFBymoslgsFovFYrFYLBZLZ2xQZbFYLBaLxXKTov8Rh8ViuRbYoMpisVgsFovFYrFYrgAbVFksFovFYrFYLBbLFWCDKovFYrFYLBaLxWK5AmxQZbFYLBaLxWKxWCxXgA2qLE8LCF+6tFgsFovlaQchvY7FYrkGkJL/qgR7SkwIiSAIUK9XtV+ckVIiDCOUSvmJdxljaDZbODt9Hjt33Q4hRFZkFZwLxLFK/qszXwixlJA07xvzjKmknZwL1Gr5epWsapNKpZjbDowxtJouZmfnMDQ8iFKpsKY8YwxBEAIAKpWy1oYgiOA4jjaBHpI245xrk6YxxpYSfOr0MsYwMTGNDRt60NXVyLVXyjRBrj7BGmMsSfCpT8yHJNGprn+R2KCS/+oT8zHG8PDDh3HHHXtICRV9P03UmK1ZjUr+65MS2SJJDkhJggmo8VCp5PcvkvY6duwk7rhjb26fYUWy4q6u+prjNkUl/+Uol/WJBDlXifkajZrWBqosYwwzM3PwPR+jm4dzZZEkM4xjnviytWWXfYNK/psni0Rvmvw3T5QxBt8PAajkv3l6HcfB2JlJOA7Dlq2jWh+pEoPrfQNjDK7ro1gsoFzW+zLX9VEqUZJFsiT5b0E7fxzHwaOPPI5bb92C3g09ue2Q+oZKpaJNMqrs9VCpVHKfP0hkFxbS5L/5sir5L1As5v99JHofP3wEe/buJPmyxcUWuroaWj+ikv/SExC3Wh7J50gp0Wqp+a6j1fIQhSr5b16fIVk3+L6PRqNOkBXwvCBJFJwva9IOnHOEYYR6Xe9HZmfncfHCRezctT1XFgbJf1M/IoRK/pun1zz5LwdjIM21sbEJlEoq+a8QeTbQ1k4pYRijWHS045wZrDHUWk+tWwgmYGJiGoODm1Cp5Lev8iMeqtWy1t445knyX/2zFUkiWWq/tVoe6vVa7r0xxjBzaRa+H2BkdChb3YZM1lq1Wn6CacYAzwuT5L/5/QAAUcQhpdCuIbEUJ4QEGxhOnRzDwOAm7RoSSwmIQVpjCCEQhhHpme37IcrlonYsANA++/Qa1iRnFKyCKqcc+s0H4f7YykcDQZ7Esp68CbmeMMaSb7nqDTC30fgfXFUYY2CaB/pqGPkeqXKmmOiVUpKc/jImstcXmY5NDRQZBVUuy+X+u87I5P+ZQL5FwMhenV7G9DIrkVKa/PnrjvG9GUDRTZG5JqyjHdfrHpXvvxwfqeNq6rp8pExj1atrz1VtqjaIc8hwrlExuzcjYRqMvhoxsxXrYq+JDabPtBsd0knVShEhBIIgQK1G2/UKgogUATabLUxPncWu3Tu0DyHOOaJInVTpUNGq2m3R7UBGkdqNpuhVEbPajdbRarmYmZnDyMigNsoNghCMMZJetRvNtDqxtNvCUamUs1VteJ6PUqmo1csYw/jYJDb0bSDtbHqej0pFvzOEZAenWtXvRgNAEAQol/U7Q1LK5KSqqpVljOHBBx/FnXfuJ+3imJ1UeckurJ7FxRa6uxvZyx0JAmWDDt8P8NRTx3Hw4AHtXJNSotVy0dWlt0FKubSzqYNzjiAIUa/r/QjnHL6vTqp0zMzMwfN8bNkyor03dVIVo1arZqvaiKIIcaxOqnSE4fJJlY4gCCGlOqnKgzGGM2fG4TgOtm7drL23IAjhOA5Kpfw5jGReFgoFkr3pDjNFrzqpKmp3zxljeOThQ7ht2y3o7e3JVrehTrGrJN/gusqPUHzO4mJ6UpUvq06qaKcjAHDo0JPYv3+3Vi8SG7q7u7KX21AnNELro1NaLZfkc6SUaDZdks9ptVyEYYi+vg3ZqjaEkPA8mt8TQsB1fdIzRb1Foz8lwpLPiVCv589hxhhmZ+Zw7vwF7NmzUzvXqCdVSPwI5+qkKg/Tk6ooiuE4jDTXzpyZQLlUwsjoUO69cS4QRRHZhjCMUCgUSPNSrTFK2jbjnCcnVfpnKwCMj01icGiA9BxstTzUanrfEMfqDSaKTgDwvADVKq3Nmk0XjUZNK5s+1zZvHs5WtSGlTE6q8sc5Eh9NOTGE4ZpXxQkhyYaTJ89gcLCftMaIoig5qbq6Nvh+kMQI+WMByRzKQ68hUXL5hf7v04g5e/2mL1A7X23Xb/KSdJZRH9PLeuikl+Tm2q6vXa6vvablaTvXmJprtHujyNwYJRmNiSe5eeymlKW5ZjTfbqJy0/WXgb1Pwz5LJthNNdccp/1ap5LOtDRCydbf7EWtR653ufrtmgzJtutXp6yXXmK5ycahDlJQZbFYLBaLxWKxWCyWztigymKxWCwWi+UmJectPovFcg2xQZXFYrFYLBaLxWKxXAE2qLJYLBaLxWK5SSH81MNisVwDbFBlsVgsFovFYrFYLFeADaosFovFYrFYLBaL5QowDqqonxVE5jOJOigyKVSduAwbKHK4DNmV/5uHqd7rLQvifcFQ73rIpnIU2RSqrNKbvdrOev19GMhS5WBo740iS8VU7/WWNcFE740gC4O+M9G7HrJUuZVQ5U3kqLJYJ71KNnu1M+Z6r78sFVO9FNlUjiILA71LEETX0waq7LIN2Zq1oejFZdhAxUSeKksQWYKqEzeILNahz7COsjoKH/jABz6QvZhFCA4hVFKxNCFcoVCElDK3CCEQx/GSsdn6lSUIAiwuNrFxYx+EaK9fWdKEcIVCoa0uWzgXiGNOsiGOOYTgcBy9XiUr4DhOW122hEEI13VRrzfAGGurX1nSBGsUvVEUQwqV9T1bly2cq+S/JL1hhDRHU7ZuZQEk5ucXUKmUUSyW2uqzJYoiMKbi+GxdtoRhCMdRCemyddmS6pUyX1YIgSiM4BQKWllAYnr6HAYH+gFNO8glG/TjRiWjDlEs6uePTOZFqaRvWykl4lglgNTdWxRFuHRxBoND/dq5tmyv3gYhBHjMwQhjTM3hmORH0mTfujZDklg5CiN0d3dp7y2OY/CYo1goQHSoX6k3TQyuk031SqHmsFY2ipUf0fgyAJibWwAAdPcQ7i2KIaV6WGTrsiVNqEjyDVEEBgaHMe29RZHyI0C+DQBw9ux59PZ2o1wut9Vni4lvCJMkyBTZIAhQKKhkutm6lYVzAc4FqW2llDh//gI2bdqo1SuX5ntRO4c5FxCCbgPV56iEmTSfE4Yh4ihGtVLRjgXBBcIoRKlY1MpyLhCGEclezjmEwTNQ+RzdXFN+pNVysXETYT0S022I42S+a9YYap0VJ3MyfywovRxSStJcm5ubh+M46Oqq596b4AIxj0nPViklojgGS75CmK1bWSAlwsSP6J6t6VpPtW2+XinVeqRWq5F8mfIjet8Qxxyc09Z6MvF71H4LgjAZj/myrushiiJ0dXW11WWLEOkaPX+MSSkRhhGQBBXZumwxWfOm45diw+zMHOq1GooEn6PmD219bGKDWr/pYwQpJRwnP/hiUiYzLYfJyWlwLoDkD8ZxhFJJn11aSoBztXDKCwIZYwh8H3NzCxgeGYIQ6m+thZQSnMcoFvVZlZWsCsB0kagQAkJwkl6hokw4hAzmQeCj2XSxYUOvNmMz5zEAfWZ0JNnGGWNanUjaQQi+tGjII45COIWiVq/jMFy6OItGVw2VSgW6kRTHIQqFkrYfACAMQ5RKNNk4jhK92Zp2ojBEqawfu47DcOb0ODZvGdW2AwDwOEKBMG7SCVwm2IAk03e1Wsle7giPYxSKhP6NI5ydvoBbbt0MIfI7TUqJKAxRrhBtSOaaDiEkOCf6ESERxfo2cwAstlxEYYSNmzZo741zDik4yqUy8jyOAyDm6oFSLpVyZZHOS0AFYNnKDJyrTRSdz3EcBxcvXgIDw6Z+tdDLg8cxmOOQxm4cq00JSr/FkdqUKDqO9t7iOILjFLUPIafg4MypcfQPbEK9XoPukWTiG6IwRJEo6/sBKpWyVlY9XJWP0MEYw8T4JEY3j2j1wmC+Lz/g9f2LpM108yeFakMYBohjga56TTsWUr9XLefPNRj6SJO+UD4nRqmkm2sMzaaLxcVFjIwMaedaWk+ygXMIKbTzPV3jUJ9rUgi1EaqxoeA4uHDxEgqFAvr6enPvTUoJwWPScw3JvTHH0Y5zB0AYh4lvyB+/QkhIwUnPNQCYmZlDb28XaZ1D9SNCCEgpSDqR+D1d/6aEYYByOX+uMcbQarUQBBH6+nqz1e3IxAbNOEe6dnIKYJp+wFI7SNJzAhKI4pD0fL9w4RJ6urtQIfgcwTkkQLJBJkGYbr5jaQ1Z1I4FALjlls3ZS6sgBVWtlrv0oEt3rqvValasDZlEwqWSfvK4LRfnz1/EbdtuyVa1ke5eVCr6DlNRu2pYndOL4xicC5LeOFaLIUqHua6H+bkFDAxuQlHjHMIwBGOMpDc9oSkW9QNMnVQJlMt6vb4foFgsaG0FgOnp8+jt7UK9Xs9WteH7AcrlknYsIGmzSqWCQkEvS3WOUsqlBYNOFgCeePwodu3eQWrfIFCLFp1aKSU8z0e9XstWdaTVctFo6NsWAMIwQrlU0r7aEQQhTp8aw+49O7JVbUgp4bke6gQbTJwY5xxhGKFW0/sRzjmCIEK9rpedm1tA4AcYGh7IVrWRnj5RFpBxFCMmykZRDAAolfTzJwwjSClJPmdq6iwc5mB4ZDBb1UYYRnAcRprDvh+gUCiQ7DXxDUEQolgs6B+ADDjyxDFs3jyC7p6ubG0bJr7B83xUKmWSz2m1XNRqVa2s2nyTJL8AAE8dPYEdO7dp9cJgvnOuFnqUfgAAz/VQI/gcmeyKU2xId897e3uyVW0IIeH7NL8nhIDvByRZzjmkBKkvlM+JUavp5/D8/CJmLs1i2+369UgccwA0G+IoBhf6NYYQaWCpf64hWY8wpt+MZQAmp86hVCxiYHBTtnoV6i2fmGyDOqEpkOal8iNFbZupdQtHqaR/tgLA1NQ59Pf3kQJy1/VRrep9Q3o6Qlk7wWBzBskcqtWqWtm5uXkEQYihIf1zTSYnYJRnVRCEKBYKKGj6AYZrXhUnRCQbxscmsXFTH8nnxFEECVx1G4IgJMUpANDV1cheWgUpqFqJ6rCAFFRhabGpn5StlovJiWns2r09W9VGGijpHBOWArvUMWRrV6OOeWnBWnrcTlmIuC0Ply7NYHTzsNbphaE6hqToVa8H6B0pEgfJOSc5Bt9Xr6BQ9I6PT2Hjxg2kCWHqbKrVqjYQhuEurOf5pIU8ADz44GO4664DpIdEEISkcYPk3igLBgBoNl10denbFmlQRejfIAhx5OgxHLxzf7aqI9SFHpIxSRm7QggEQUjqC7XICklB1ezsPNyWi81bRrJVbcRxjDimBUomsusVVI2dmYDjONiydTRb1YYKqmgbLuZBlX4xBMMH1SMPH8btt9+Knt7ubFUbJr7B83zyJkqz2UKjUdfKSikhhCT5BQA4fOgJ7D+wV6sXiQ26hzbSHXwpSD4axj6HZoPregiDABv6NmSr2pAS8DyaDSqw89Fo6GXV7jlIfaF8TkQKqubmFnDu7AXs3qNfj6Rv8VBsoG7cSqmeazq5FJO3VsbOTKJULmFEszmTBnZUG9JXrSjzUq0xSto2E0L9fIPyXAOAsbFJDA8PkuRd10etpvcNJhvSMDjpBYBWyyON85mZWXiej82b9c81GNhA3vgyXPOaBHYnT5zG0PAgaY2hAjvas9XEBmqcQiF/RHdAJq8dUEhlKfIUmRSqTlyGDRQ5XIbsyv/Nw1Tv9ZYF8b5gqHc9ZFM5imwKVVbpzV5tZ73+PgxkpZQATdTI3htFloqp3usta4KJ3htBFgZ9Z6J3PWSpciky+b0EBRM5qizWSa+SzV7tjLne6y9LdZKmeimyqRxFFgZ6TVhPG6iyyzZka9aGoheXYQMVE3mqLEFkCapO3CCyWIc+wzrK6jAOqiwWi8WSx5XvdlksFguVq7QetFgsV4gNqiwWi8VisVgsFovlCrBBlcVisVxV7LaxxWK5dlyFn4JYLJargA2qLBaLxWKxWCwWi+UKsEGVxWKxWCwWi8VisVwBxkEVY4z82cFUlvKJTapOJEn2qPKpLEWeKofLkqXdo7ne6yurkqLTZBlxLMDQBup4SHVSZFOoskpv9mo76/X3YSBLlYOhvSay1D6DoSy1H2Bo7w0hCzxt7w0G49JE73rImozHFBO/R4FqawpV1kTvesmatO966qViYgNVNpWjyCK5N/IYI96fqQ3rIbu8fsvWrME6rEeotqaYyFNlTdqAqhM3iCyI4xGGc9hElhHHAgVSnqogCJa+LiOlyi9DyVMlJRBFAYrFstbgVsvFubPnsX3HNu2nDVXy3xiViv7780IsJyTVta9K8iZIOY9MEqF5LQ+zc/MYGu7XZuVWyX8d0nf4VbI9ptUJAEKohMmUewsCleBTp5cxhqnJafRs6EGDkPw3CHyUShXtWABUTpNKhZaLJghUVnJd/0qpbKhUqlpZxhgee+xx7Nu3R5tLAwa5sqQEfN9DrabPTQHjPFUq14Lu63NhGOLE8dPYt3+X9qtRUgKe55KSO0up5gVl7HLOEUUhqlV9O6iknSGpzebm5uF7PkZGh7V+JI4jxLEg5bGI4yjJL6OXVUm5aYl3wzACIFAu5+tljGFiYgoOYxjdPKK9tzAMkzxVeht830/yVOl9WRD4KBRKxDxVKt+d4+TLMubg8KEnsPWWLeghJv+l5qnyfZX8lzH9HG42XTQaVa2syhFFz1P15BPHsHvPDpK91Jxwygau9dEpnkfzOVICrRYtT5XneQhDWvJfE79nliiYQ0pG6gvlcyLS2mV+fhEXL1zEjp23a+eaWZ6qKFlj5M93meSpoiSUR5JDiDF9O6R+pFQqYWhoIPfeVJ6qkPRsReL3CoUiaZz7vo9Sqay1dzn5Ly2H0NTkNPoHNpGexdQ1BucqtxhFJwzWI0jme71e097b3Ow8/MDH8PBQtqoNtc6h5qmirfVgnKeKHiecOT2OgYFNqBP8XhRFADn5r0QYUvNUBSiV9HEKAK2+/BGd4DjOUmFMlZXX1i4skVVJ6XRFRYvt1zsVMxtUaa9bXUzuzUg2uTeKvNKrt3VZtv16p7J+sgwOWdYxGAv0dlCFIms2HgHauHGM2ow2Di6nUPUy5gBs9bxeu5jYS28vx8Bec1maDfQ+uxxZqg309mXrMh4vR/Zq25DeF02vs059TB/r9H5wHAeMpScJ7XXZQtVrMm6UfPu1zoX2951U57rYS5c1GY+pfPZa50LvY3VvVFmaDcs6qXoNZIl+ZLnP9LJKnt4XprLZa2sVGIwz6r1R+2ylPEWvSWEG49F8/rRf71TWY5wrWbq9Sr79WudC12vSZzpIJ1VKQokJIREEAWo1fQQqpUQQRCiXixpjGFqtFqYmz2LX7u25uydIdoaiKE4ixnxZIQTCMEa5XIKjiUKjSO2KUPRGkYray2Vd1M7QarmYnZnF8MiQZoeXIQhCMIZkVyTfhjCM4ThMo1MRxwKcc1QqugifwfN8lEpFgl6169W3oReNrobWXs8LUKmUNGMBS21WrVa0O1kwyIYtpYTnBaQs6gDDQw89hjvv3EdoB8D3w2RHPFuzGiklXNcnZVGH4UlVEESE/lW2PvXUcdx5535tn0kp0Wp5JBuklIgiNdd0cK52stRudL4NnAv4fpi0Wb7s7Ow8PNfD6OYRrWwUxYhjnviyqycbhjEASWqHIAghZbr7tbZexhjGzkzAcRxs2Tqq9ZFBEMFxHJRK+rHreQEKhQLJl3mej2KxQNqt9P0QpVJRO4cZY3jk4cPYtu0W9PT25LYDwOC6LioVmm9wXR/VKuV0nKHZbKJer2tlhRAQQpL8AsBw+NAT2Ld/N8HvAYuLLXR360+JOBeQkmoD0Gp5JJ+j5rtLOqlqtTxEYYgNfRs0fabWDZ7nJ6dwOlkB1w3Q1aW316QdlM+JUK/r5jDD3Nw8zp+7gF27d2hk1Q4+AJINUaROPXTzPd1lV8+U/PGI5M0ZxhgKhXwblB+ZRKlcwvDwYK4N6TqrUtE/W5H4vULBIcxL+hqDc5G8YaN/0wgAxsenMDg4gEpFt35iaLU81Gpl7byMY568paD350j8abVK67dWy0tOqrI1K2GYmZmF7/sYHR3OVrYhpYTvh6jV8k9UkPjoYrGg7QckY1etefXtoOIEig0Mp06exsDgQOJz8vostQGEZ5XyI0EQEWxQ7aCPUxS6ftVrAMCS91RVyf7fukKRzf69bH22pDZQZE2KiV4DuY7t2KmslNHJZuV1hSpr1gbqxujy7dc6Faq+lfLZa2sVqix1LC7Lt19bq9Bl18cG6nhclm+/dqUl/fsU3XTZFIqsiV5z2ey1vKLXmyVb3170Os1lqXJm8qvvSydPvf9leb1OJUf7+6blcuzNXlurrI8s3V7TNjOVzV7rVKhyqSzFBnVfZvdGLVQb1qeshGYDRcZUlvq3TWXTsUv5NxSZy5FN5bPXOhdaP6zss2zdWoUqS/n7l1OoeleORZo8TW6lfPZap0KVa38WZyEFVRaLxWKxWCwWi8Vi6YwNqiwWi8VisVhuUjRvA1sslmuEDaosFovFYrFYLBaL5QqwQZXFYrFYLBZz9D8xsFwDCD/1sFgs1wAbVFksFovFYrFYLBbLFWCDKovFYrFYLObY3/LcENjfVFksNwY2qLJYLBaLxWKxWCyWK4CU/DeOVaJbgCUJtQLU67Wc3RFVoZKBRigW04SvK//B8kvAjAHNZgtnp89j567bIYRYIbcS9W8454hjlfx3bRsUQgjEcYRSSZ+MLY5jCMFRqej1xvFyIrQ8Wcagkv/OzmFoaBClUnFNecZUMlDGGElvGEZgjKFYpCRCU4mNS6VytmoVjCFJ8FnU6nUchvHxKfT19aDRaOTaCwBB4KNU0ifbS9usWq1qZQEgCAKUy/r+BVQCymq1qpV1HIaHHz6EAwf2ahMqAkAYKht0PzJQCYg91Ov6ZLoA0Gq10GjoE3ECQBiqJMg6G8IgwFPHTuLOO/dBiPxOU8mKVTJQXf9KKRHHMUolSnJAvpT8V6eXc44w1MsyBszOzsHzfGzePKK9tziOlhL66vSGYQTO9bJI9EoJbTuk811KmePL1EXHcVYl/9XdWxiGcBxHO4fVfPdQKBRJPofqGxgDfD9AsVjUzp9CgeGRhx/HrbdtQW9vj9aGNPmv4+TrVbJeIpvvRxjDUvJfxvJl1fNJav8+Er2PH34Se/bSkv82m80kCWZ2Dq9uFCklhBAoFPL7IcV1XZLPUfO9hUajK1vVhuu6iMIIG/p6c/sMiV7fV35PJyuEgO+rRMF6WQ4poR1jSPxIFEXaOew4DLOzc7hw/hJ27d6unWucq+S/OhtSPyKESv6bZ4OUKvkv7bkGcB4D0Cf/dRyGsbEJlEoljIwM5d6bydoJAOI4hOPoE6imfqRUKmnt5Txdt9ASEE9OTGFgsB+VSjm3fU18g1oXiuT5ricIfJTLFZK9ruuiVqvlyjKGJPlvgJERffJfQML3A1Sr1WxFG0EQoFgskPwI9bkGAFIKBEGotYEx4NSpMxgY6CesMdT6Qtmw0t7ObSeEQBiGyXyXGbmVf4ghCAKUSmmcshbq3+gS3+dpWIItJcZK/7vT/52tW5lUK/+646j/G5Ad5Dr/m2W57LVORS/nOOp/gbX+VrusKvmyaf3a7dgu2/7fncpy/Wp7rrTo/m6mIP03+n+33Aa6otd1TQrZXtq4uZxCb7O0EGxwALY016iFoPeyCk2vaged7LLTbK/rVFJ9er2d/7tzUWNh2a+tXSh6l8eVGpB5su1F7xuW9ev1LtfT9GavdS6qvVb6/naZ5aL6WC9HlVmWpY8benEc9R/Z6/mlk3zaT6qsh63LpdPfzys0eXq/pYUiS5FZLlQbFKY+UldW/l29DSaFPh6SsUOWp5fU7+kLVc68LLdD/t9wHJM5lK+rvdDlKTYsr4/b6zoX2t/X+/Bsoek1kVX9kMrq/k12/qQlK5ctneRM/v3qf6ODdFIlpXIuSKK/IAhQq9Xbds+ySCkRBGr3PD8CZFhcbGJ66hx27d6u1at2rmPUalWtrIpW48SG/AYJwxicC9RqFa3eMFQnVZVKWSPL0Gy2MDMzh9HRQRSLpRx5Bt8PwBgj6Q2CEIUC7aQqjtWOj9KbB4PreiiX9bvRAMP42BT6NvYmu6t59gKu66Na1Z9UpW1WrVZRLOpk6SdVQqiTqnpdf1IFMDz44GO48859KJXyd9MAwPNCVCpl6G5NSolWy0NXl37XGAAWFlro6aGdVPl+iGpV17/qBOHo0RM4eHC/ts+klGg2XXR3d5FkwzBGpaLfyYpjdVLVaOj9COccnhcmbZYny3Dp0iw8z8eWLSMaWTWH4zhGvV7TyDJEUYgo4gRZIAhiADTf4PsBpJQEX8ZwJjmp2rp1VCOrxoLjOCiX9XPYdT0UCgWSva7roVgskvR6no9yWX9SBTA88vBh3LZtKzZs6NXaQPcNDK2Wi1pNvxsNMCwsLKLRqKNQyJcVQkAIiWJRd18AwHDosSew/wDtpGphoYmeHv0pURwLSCm0u6YpzaZL8jnL813vc5pNdVLVt3GDps8AztUJPeU5IYSA6/okWdUOkuSjOefw/QiNhm4OM8zMzOHC+YvYvWeHRhaIInVSpbdB+RHORbKDv7ZeztVJVbWqf64h8WWFgv6kKvUj5VIJI6NDGhsEoihCpUKzIQgiFAoF0rx0XQ+lUknbZup0Ua1bCCZg7MwUBof6Ua3q1nAMzaaLel3vG+KYI4456dkKAJ4XkPttcdFFV1f+SRXAcOnSDDwvwJYt+pMqKdVJYL2ef0qExNZisUDyI8trXv3zXQh1Wqa3geHEidMYHOwnrTHCUJ2W0WwQ8H31hotOr+cFqFR0cUpKXl+RT6pUNLm6oMO1yy3p31j6i9qyLN9ed7kljVopeldHre31ywVgYEv/lS+fjYaz9e2y7devtJjoXf4fvb3pfVHKyna4esVMZ3JHRHmW7GRkr3cqVLn1lKX2GQznGtUG+jhfltfLJuMmkWyvz+pc6Xfa61fqVfIUWTO99HZY+V86WZOxbmiDod72651K+pfT/87Wr5ZdLxvoek1KSvZ650L9+6a2mshS7V0eM3p5+hhbWfSyy3ONVmg2rJy/OlmTvlipK18vXacq6Y6/vkDNM1I7mBW6zWZzjSoHMPX/SfdmMm5MZJV8+7XOhaZX6VO3la3rVOj2mvYDVZZuQ/JfpD4ztSGVpenNXlu75EMKqiwWi8VCRe94LRaL5Wqhf9/IYrFcC2xQZbFYLBaLxWKxWCxXgA2qLBaLxWKxWCwWi+UKsEGVxWKxXFXsuzgWy7XBvmoLrPiJlMViua7YoMpisVgsFovFYrFYrgAbVFksFstVxW4bWyzXBnsqDPuhCovlhsE4qFr+pKGeVJYiT5FJoerEClldjipcpl4KSpZ2jyrRm14Ol2XDzSVL6TMY6E3lKLIpVFmlN3u1nfX6+0jGDgUTnSb23myyN99co/edmd7rLwuDcWmidz1kmYFvSqHohYGcydiFgV5qG+AZIEvFcejjgWpDKkeRhYFeGMimY4wiC8N2oI7f5XbI1nTGxF6qLDOc71S9MJClymEdZal9BkNZdpM913SQkv/6vr+0E6IS+gao1ara3REpJaIoQrFYzE2qxZhK6Hju7AXs2HkbhMhXzDlHHMeoVqvQmS+EQBzHKJVK2kaLY5X8t1qtaPXGsUqEVi6XctuBMZWAcm5uHkND/SgU1k6yxhhDEKjkv+VyWWtDFEVwHJarM0UIAc45SqX8pGmMqaSdpVJBq5cxhqnJs+jd0I1Go6G11/cDQiJopdd1XVQq+sR8MEj+K6Uay9VqRSvLGMNjjz2Bfft2ERIqAmEYolzWJweUUsL3fdRqtWxVR1otN0mQqycMQ5RK+iSJYRjixInT2Ldvt7bPpJRJIs5a7jhHIpvONR2cC4RhgHq9rrWBc44gUEk782QZA2Zn5+H7AUZGhnJlkczhOOaJL9PJRohjQZRVvkHXDowBQRACkKhU8vU6DsP4+BQcx8HmzcNaHxmGyjfoEnin871QcEi+zPN8FIsFkt4g8FEo6JP/Oo6Dw4eexJatm9Hb253bDqk/rVb1voGxNOE4bb4vLjbRaNS1skIISAltkmAkep984ins2r1day8MkvQKISGl0LZtiut6SRLMfNR890g+x3U9RFGEDRt6c/sMK/weZb6rpJ0ByV7VF5LUDiqRbIRaTedHGObmFnDx4iXs2LEtVxaJXgAkG+I4ghBCO9+lVMl/Kc81JAlqGdPboPzINMqlIgaHBnJtMFk7IVmPFAoF7ThXfkQl/9XZyzlfWrdQbJiaOov+/o2oVPLXcMxgjZHaQHm+w2A9gmQO1WrVXFnGGGZn5+D7AYaHB7PVbUipbFAJkPMJggDFot5Hw+C5hhVxgkpyvTaMMZw5PY5N/X3o6urK7TMAiKIYAM0GIQTCMNTOdyTtUCrp16YAUKtp7okSVEWRymIMAFIKBEFIDqrUQi/fWMbUw+Ts9Dns2Hm7tgGWg6qK1gYhBKIoRrmsn5TLQVVZq5ceVAGtpoe5uTkMDQ/kBirpIosxptULw6CK6hgYU9mlqUHV5OQ0ent70NVV19rr+z7K5XLuWEDaZi2PtHCCgROTUmX5pi6yHnnkMA4c2ENyOEEQolLJb1skNqhs5/oFAwwWWTAI7IIgxPHjJ3HgwB5tn8l1C6o4wlBlO9fpXQ6q8n0OS4Mqz8fI6LDWjywHSno/YiJLdfzpfJdSan0ZYwwT45NwHAejm0e09xaGIRzHIQQ/ar7TgiokQVWRpNf3aQ9sxhwceuxx3HLrVvT2dmltoPoGthRUlcGYXnZxsYVGo6aVNVnIMwY8fvgo9uzdqbUXBvNd2SC0PjrFdV3U63q9Ukq0Wi66uhrZqjZc10MUhtjQ15vbZ1jh99TGSLZ2NUIIeF6ARkPvI4XgkFIfTGDJ50So1/V+ZG5uERfOX8DOXdu1c800qFreuM3WLpOunSjPNSTrEcaY1gblR6ZQKpcwRAiqqGsnGAVVyo+sR1A1OTmNgYFNqFTy13AmfoRztS6kPFuRbB5XKrR+a7U81Ou6oAqYmZlDEAQYHh7KVrchpUQQhNc5qFJxgj6oAk6fGkP/wCZ0dTVy+wzJGANAsmE5qMqf7zAMqsrl/L9NCqpWIoRITqr0Di/tXMrpRLPZwtTkWezavT1b1YbacVJBlQ7VsMox6I5woygG55ykN4qWgyodraaLmZlZjIwOaRcjK4MqHdTdaCQ7WZxz0sJfOTz9wgkAxsen0NfXS3oIe56PSkUfVCE5oalWq6TdYJOgyvN87c5QyoMPPoaDB/ejWNQ7HOVIK9CplQY7wYBa6HV369sWBoGd7wc4evQ4Dh7cn61qw2SRJaVcegjrUIGSCqp0cM7h+yFpkTUzMwfP9bB5y0i2qo0oipZOqnSYyIahCqoo7bAyqNIxdmYCjuNgy9bRbFUbQaCCqlJJP4fVSVWBZG8aVFH0+n6AUon2wH7k4cPYtu0W9G7oyVa1YeIbXJe2cAKwdFKlkxVCQAhJ8gsAcOixJ7D/wB6tXiQ2dHd3ZS+3wbkKqig+GgYn3lJKNJstkg2tloswCNG3cUO2qg0hJDyP5veEEMlGjl6WcxVUUfoi3Zyp1/VzeHZ2HufPXcDuPTuyVW3EsQqqKDZE0XJQlYcQKqiiLs6jKE42WPU2jJ2ZRKlcwshI/qkH5wJRFJFtCEMVVFHmZRpU6dpMbaCrzWCCCRgbm8TQ0ADpOdhqeajV9L4h3Wyn6ERyb5SNWySbKGojJ1/20qVZ+L6PzZv1zzWZbB5TnlVq40v/5gEM17wqTlABjY6TJ05jcGiAtMZID3iutg3Ut6goXLkGi8VisVgsFst1QbMmt1gs1wgbVFksFovFYrHcpJi9b2SxWNYLG1RZLBaLxWKxWCwWyxVggyqLxWKxWCwWi8ViuQJsUGWxWCwWi8Vyk2J/U2Wx3BjYoMpisVgsFovFYrFYrgAbVFksFovFYrHcpNgPVVgsNwbGQZXjMG2+pxTGGBijyeu+078SExtSWYo8VQ6msgbtYKT3BpBN+5iCagPakDORdRyaDWkfUGRTqDaodshebcekvXAZ84ICVQ6G9lLHOAzHmEmfmdhrasP1ln063xsMxroaZ/R5SbWBKus4DkluJSb2UjBtW6qsyRgzkXUM5rCpLPXeTGSpfx9Lemn9S7UhlaPaQR27MOi3dJxTZHFZ7aCXXW6HbE1nTNuBIkvtsxRq+8JAlioHQ1mTe1svWcbo/slEr4mfVnr145ECKfmv5/lLmbelBMJQJTrVIaXKIF4slnInBWMMruvi7NkL2L79VgiRb5IQEnEcJ1mzdbIqeVupVMy1AQDiWEAIlSBXp1clX9QngFT35mFubh6DgwO5ifEYYwjDCABDuVzQ7j5FEYfjsFydKULIJDN5fpI3xliSEK6o1csYw/T0OfT2dqNer2vbLAxDFIv6JMyMMXieh3K5opVFkhBON8YUDL7vk5L0MsZw+NCT2LN3l7YdkNhAyfItJRAEvjbTeIrreqQEuUiS8+n6F0mSxpMnT2Pv3l3aPpMS8H2PmOxbJWvUzQmsSG6psp3n20CVZQDm5hcQ+AGGhgdzZbEisWS1WtHKpsmzabLKN5RK+e2QzncppdbnOA7D5MQ0mONgZHQIUuMjVTJQRzt20/leKBS0/bYsW0SxqNcbBCEKhSIKhfzJ5jgOHj98BFu3jqK7pzu3HUx9g0oMTpvvrVYLtVpdK5s+nyh/nzGGI08ew85d20nyruuiXtcnvZVSJbfU9W9KmvRch5SA59Fs8H0fYRChd0NPbp9hhd9TczhbuxohlGy9XtPqFUJCSmjHGABwLhFFEWq1/DnMGMP8/AIuXriE7Tu25cpiyQZJ6os45hBCJZLN0yvl8jNFNx6RrEcYIUhQfuQsiqUiBgf7c21I11lUG+KYkxayJmsM6rolZXr6HPo3bUK5Usq9N+VH/MSPZGtXw7mAEIJsQxiGKJVoyYrVvKwByLd1dnYeYRBgcGggW90BhjAMUC7rkxWHYYRisUAKKKhrXizFCSp5dR6MMYydGcem/k1oNPRrSJNE20Ko+V6tlrU+R7VDUTt2AWjXY6SgKo5jCKH+WwiBKApQqeQrRpLZOYrShXR+p7luC9NT57Bz1+1Lf2stOOfgPEa5rA/shBCI45i0mFcZozlJL+cqu3SxqF9Ie66L2dk5DA4NajNXR1EIKRkpY3QYRnAcptUJAEKoRWGplD/IAfVAUwunfL2OA0xMTGPDhh7U6/ps2EHgo1Qqa8cCoB7s5XJV63QBIIoCFIv6rO9SSgSBj0qlqpV1HOCRRw5j3769pAkchgFKJf3iTUqZBCn6RQsAtFotNBr6tkUydij9G4YBjh07hf137AE0c01KmSyy9DZIKcG5mms6OOeIohDVqt6PcM6ToEovOzc3B9/zMbp5mOBHIsQxR6WiX2xGUZRsuOhllb+kZZ5X811qfY7jAONjk3AcB5u3jGjvLYrCJKjKn8NYmu8FUr8FgQ/HKZIWGGGoArBCIX/+OA7w2KNP4tZbN6O7pydb3YaJb/D9NADTy7ZaTdRqda2sEAKAhOPk31fKE48fwZ69u7R6kdjQaHRlL7chpQDnQuujUzzPJfkcKSVct0WywfPcJKjqzVa1IYREEND8nhACvu+TAjvOOaSkLbKUz4lIG1rz8/O4cP4idu3erp1rQnAIQbMhiiJIKbTzXQU06eJc81BJfA5jjDTXxsemUCqXMDw8kHtvnAtwHhnYEIGxAmleKp9T0rYZ5xxC8OT5nq1tZ3JyCoP9/ShpFvMA4HkeKhW9b4jjGFIK0rMVyb2pjRy9wa7rolaraWVnZ+cQBD6Gh4ezVW1IKZODD/04D8MgCar0fsRkzavihJBkw5nTZzAw2E9aY0RRBMZw1W1Q7aCPUwCgXM5vK1JQtRIhBIIgIC1w1CI2RLmsN7bZbGFq8ix27d6erWpDOccY1Wq+Y0JibxjGiQ35AzeK4qXdaB0qAKMtnFpNFzMzsxgZHdI+BIMgBGNXP6hKd9p1OwdIdk9KJX1QBQDj41Po6+tFV5d+Qniej0qFFlS1Wi6qVdrCSe1G6x2/ChDUbqlOFgAefPAxHDy4X+v4AcD31emtTq1atHhoNPQLBgBYXGyhu1vftkjGDqV/fT/A0aPHcfDg/mxVG1JKtFouqX/VJoqaazo45wiCULvrg0TW90M0GnrZmZk5eK6HzVtGslVtRJEKqig7+CayYRgDoPmGIFBBFcXnjJ2ZgOM42LJ1NFvVRhCooIoS/HieCqoo9nqej2KRFlT5foBSSR9UAcAjDx/Gtm23oHeDPqgy8Q2u66Fa1S+cAGBxsYlGgxZUCUHbsQWAQ489gf0H9mj1IrGhu1sf0KhdY3pQ1Wq5JJ8jpUSz2SLZ0Gq5CIMQfRs3ZKvaEELC82h+TwgB1/XR1aWXNQ2qgiBCva6fw7Oz8zh/7gJ279mRrWrDZPc8iiJwLrTzPT2dr1T0zzUYBFUAMHZmEqVyCSMjg9mqVXAuEEUR2YYwjFAo0IIqtcagBVVxzJPne7a2nbGxSQwNDZCeg62Wh1pN7xviOAbn6nSRguf5qFZpQVWz6aLR0AdVly7Nwvd9bN6sf66pjduA9KxSJ4YFkh8xWfOqOEG9XaLj5InTGBwaIK0x1KYErroNvh+Q4hQKV67BYrFYLBaLxWKxWJ7B2KDKYrFYLBaL5SbF7H0ji8WyXtigymKxWCwWi8VisViuABtUWSwWi8VisVgsFssVYIMqi8VisVgslpsUzXcOLBbLNcIGVRaLxWKxWCwWi8VyBdigymKxWK4q9lfjFovl2mE/VGGx3BgYB1WO45C/5c4YI8s7jqP9Vn8KVSdWyOpyVOEy9VJYtkEvT5WDlV3CIY6ddDxSZAH1ToWZDdmr7aQ2UFkPWZM2MLHXRNa0f63s01v2Zho7VLkU03ujYGoDVdbUVrrseuldP1mqjzTVS5FN2+v62qDkbgwbsjWdoeqFgSxVLsW0zSiyJjas3xxeL9mby14dpOS/CwuLSMVUtuYQlUp+8jqkyUDDCKVSCSwnqGEMaLV8XLhwEbfdtnXpb62FEAJxxFGulrSbwlJIRBFHqVzQDt445hBCoFIpaXd+4lglHSyV8pPXMQa4ro+F+QX0D2zKT87HgCiIAca0epEkY3McWsI/zgUEFyjpskEzwPdDFIsFrV7GGM6ePY+e7m7UG1Vtm6WJoHX9oNosSBIF58siSTpYKhW1eqVUiYIpyQwZA5544hh27dpOSmYYhhEpIV2aEFuX/DHFdX1SskoY2BCGEc6cHseu3bdr+0wlTA5INkgpEceclBhWCIEojFCpVbRzWCXxi1CvV7T2LiwsIvACDA73a2XTpI7VavnqykYxJEBqhyiMIAGtz2GMYXrqHByHYWh4UOsjVWJwR5tck0HNd6dQ0Pqc1DcUCgWtXiQ2FIsF7cOKMQdHjxzD6OZhdHc3NO2Q+gZaokaVlFs/38EAt+mhVtcnBhdCQEqQ/AJjwFNPncKOHbdp9SJJVkxJiC2EhJRC66NTfC9AtUb0OS0PdUKibd8PEIURenq7cvsMSwlJQ9QINkiRyNb1siZ9IYRAGMao1fLnMGPAwkITly7OYtvtW3NlkTxbAZoNcRwna4x8G1Qi9WTtRBg3ccxJi9PUj5RKRfQPbMr1I0JIxHGc2JCtbSeKYhQKBe0ze3mNUdS2mRACPOYolUrKWWk4e/YCNm7sQ6VSzG1fMMB3A1Sqet/AOQfnEmXN2iklCFTSZgquG6CuGeeMAXNziwjDAAMD/dnqdqREQFyjh0GEQtEh+RG15pWk51q69i9r2oExYHx8Ghs39aFOSNIbxzGkpD1bpZAIk+TVOsJQjUfd/AGA3t78BPWkoKrVcpdeaRFCLQpJzlFKhEGEUllnLEOr5eL8+YvYvv1WCKGc1FpwroKqSlW/gFSLN57YkD95oiiG4JKkV2WXBmGiMbiuh/m5eQwMbtJmrg6DCGCMoDddODGtTgCIYxVUlSs6WQbf90lZtlMH3dPTkzyEc4aSVI60XNGNBUW6cNI5XQAIggjlMi2o8rwAtZrekTLGcPjQEezes4O0gFQ26B8+JkEKkqzvDcICB4kNlYp+7AZBhFOnTmPv3l25D1Uk9rquT7JBLQQ4aexyLhAGEWnhxDlPgirNGAMwN7eAwA8wPKIPPKIoRhzzJOO6XlYFVRW9bBhDgpZ5PggiIAmq8nAcBxMT02CMYfPmYa2PDALlG/QPHwbPC1AoOIR+U7LFokPQC/h+hFJJ/8B2nAIOHz6CrVtH0NPTre031/VRqZRJvsHz6JszrSSo0skKISAEUCzq/z7AcPTIcezctY3k95pNF41GXetHOFdBFcU3AYDb8lFv6H2OlBJuy0ejSz/fXddHFEXo7e3OVrUhhITv0/yeEAK+F5Ls5VxASklqB855ElTl+xzGGObnFnDx4iy277hVOx7jmAMAyYYoSoOqfD8ihEQYKn+ue1YhsYExEOaa8iPFYhHDw/0QYm0bOBeIY+XPKTaEYYxCwSHNy3TjVtdmnHPEsSA9WwFgauocNm3aqPWnAOC5PirVsnZexrEKqiratZPC90Nyv7VaPur1ikaWYW52DkEQYWhYH1SZbGAEfogCoR9gtOZNxm8QEjZyGMbOTGJTfx9pjWFmg0AYRqQNbN8PUdbGKYpGo5G9tApSULVSRO0aB6jV9A0gk135clm/q9hstjA1dRa7dm3PVrXBOUcUxaTGSnenlA15AzddOHGSXtW5tIVTq+liZmYWI6ND2kAlCEIwxkh6zYIqDs45KWr3PB+lUpGkd3x8Cn19vejqyh9okIDnq8WQbiwgCeSr1SrJQQdBgHJZHyipgMZHrabfjQaAhx46hDvv3EdyOGpHvKJ1/CpI8dBo1LNVHVlcbKG7W9O2CdQdMt8P8NRTx3HnnfuzVW1IKdFqufr+XQqq1FzToQKlkLQrzzmH74ckpzszMwfP87B580i2qo0oilYEVfmYyIahCpQo7RAEIaSUJJ8zdmYCjuNgy9bRbFUbQRDCcWjBj+f5KBQKJHs9z0exWCTp9f0ApVJRu9ADGB555DC23bYVvRvydwFh6Btc10O1WiH5nMXFJhqNulZWBVW0hTwAHHrsSew/sFurF4kNXV1dWj+igglB8tFI2ozic6SUaDZb6O7uyla10Wq5CIMQfRs3ZKvaEELC82h+TwgB1/XR1aWX5Vy9MULpi+XNGf0cnp2dx/lzF7B7z45sVRtmQVW0YnNmbVRQpfw55VkVxzEYo721MnZmEqVyCSMjg9mqVXAuECU7/RQbwjBCoVAgzUu1xihp20wFVTx5vmdr2xkbm8TQ0ADpOdhqeajV9L4hfUuBohPJvVWrukBJoTZRalrZS5dm4fs+6bmmgqqA9Kzy/YC0gQ7DNa+KE0KSDSdPnMbg0ABpjRFFURJUXV0bfD8gxSlINl3y0GtIlFyTgg7XbHl6FKfDtRu8XNOxf40Lns5z7el8b0/Lot7sab/+dClm9+bchL7SFltsseWZUHSQgiqLxWKxWCwWy42H/n0ji8VyLbBBlcVisVgsFovFYrFcATaoslgslquK/hUBi8ViuVoQ3kqyWCzXABtUWSwWi8VisVgsFssVYIMqi8VisVgsFovFYrkCbFBlsVgsVxX7q3GLxXLtsB+qsFhuDIyDKupnBZH5RK4OikwKVScuwwaKHC5TliJPlYOhbPqZXgomem8m2VSOIptClVV6s1fbWa+/DwNZqhwM7bWyCiurMJGFwbg00bseslS5lVDlTeSoslgnvU972ezFNTDWS5BN5SiyMNALA9kby4ZsTWeoemEgS5VLMZGnylLlcFPKKnkKZnrXR1YHKfmv53lLOyFSCvh+hHq9ot0dkVJlBS+V8jMVM6aSoJ0/dxG3b9dnMFcJ4VTyX40ohBBLCUl1jZYmeatWy1q9cbycCC1PljGg1fQwN7+AoaFNKBTWTrLG2Orkv3l6kSRCcxyWqzNFiOUkenkwBnhegFKpoNXLGMPU1Fn09HSjq6uutdf3fZTL+uS/jKnEfNSknWmCaV3/pknxKIn5GGM4dOgJ7N27i5RQkZp4VyUgDkgJKJEkB6QkwQSAMAxRKumTJAZBiJMnz2Dfvp3aPlPJin10ddVIsnEco1TSJ+bjnCMMVfJfnd40aWejUdXKzs0twPd9jIwMaf1IHEeIY4FaTe9HTGSjSCX/pbRDEIQAoPU5jDFMTkyDOQyjo8PaewtDlfxXl9Qxne+FgqP1OaksJVkkY2liSX3yX8YcPH74CLZsHUVvb5fWhlbLR7VK8yOuG6BaLYExveziootGo6qVFUJASqm9LyR6jzx5DDt3bdfaC4P5rmwQWh+d4roeKdG2lBKtlkeywXU9RFGEDRt6cvsMK/weZQ4LIRJZvb2myX/DMNauXRgD5uYWceniJWzfsU071zhXyX8p4yGOI3AutfNdrZ1CUlJ7GCT/Tf1IsVTE0NBA7r2ZrJ2Q+L1CoaAd58qPqOS/Ons55+Cck55rADA1dRb9/RtRqeS3r4kf4VytC3VrpxTfD8gJk1stD/V6NVeWMZWM2vcDDA/nJ2xGMnaCINQmmAaAIKD5aKxY81Kea2mcUKvl28AYcOb0BDb1byStIU2erSr5Ly1WCYIApRIt+a/Oj5KCqiiKl15pEUIiCGjZmlXnRkmm4rUHDcDQarVwdvo8duykODE12dWgyZcVQiAMlWPItwGIIjWBKXqjiENKiXJZ91BjaLVczM3OY2h4QOP82YqgSqcXCMMYjsM0OhWcC8QxR6WSPxhjLnFk/CwmZxcxdmkeZy7M4fSFWbT8EFOziwCARS/AvOsDAAa7GyiVCqiVSxjsbaBRKWPLpl5s2diDkY092LqpB7cN9GFjdx2eF6BSoQxc1WbVaoWUnd0kqPK8ALWaPqgCGB599DD2799Dal/fV0GVTq1MghTKggEGiywACIJI279IbD1+/BQOHNijHecmiywp5dJDWAfnKtu5clD5NnAu4Pth0mb5srOz8/A8H6Ojw1rZKIoRxzzxZVdPNgxjACDN4SCIIKXU+hzGGMbHpsAcB5u3DEP3lAiCCI7joFTSjV0Gz/NRKBQI9irZYrFI0uv7AUqlonYOM8bw2KNP4tZbN6Ontye3HQAG13VRqdB8g+v6yeaMZmKCodlsol6va2WFEBBCkvwCwPDE40ewZ+9Ogt8DFhdb6O5uZC+3wbkK7Gg2qMUbxeeo+e6iq0tvQ6vlIQpDbOjboOkztW7wfV+7IEHSvq4boKtLL2vSDsrnRMmGVp69DHNz87h44RJ27LxdIwvEsQqqKDZEUbpxmz/fhVAb0pWK/rmGRK/aYM23IfUjxVIxWaCvbUO6zqLaEIYxCgWHMC+VHymVito2S9ct6vmerW1nYmIaAwP9yQbn2vem1hgeajW9b4hjDs4F6dkKqI0ntXGbrWlHBVU1jSzDzMwsfD/E6CgtqPL9UBvQIFkLqE2y/H6A0Zo3jRMoNjCcPjWG/oFNic/J6zM1zqWkPVvToEpvg2qHcjn/8CdFF9CRgqqVKEMD1Gp6h6eCKrXg1RnbbLYwNXkWu3Zvz1a1wTlfEVTlYxZUxSuCqnxU56qTKh2tpouZmVmMjA5pd3hXnlTpCEN1UqXTiSXHwNtOU+ZdH986cgbfPjaObx8bx6OnphALsUrmajDa14MDtwziWds2445bR3DPrq3ozTmtUUFVleCg1S4DZUdPBVU+arX8naGUBx98DAcP7ic5HLU7pXekKqjy0GjogxQYLLKQjJ1CsYhT52dw6twsTp2fwenz6n9XBsXzLR8LngqKR/t6UCg4qJaKS0Hx1v4N2LqpdykoHuqqYetwf+avtWMWVPEVQVU+nPMVQVU+MzNz8FwPm7eMZKvaiKJoRaCUj4lsGKrdNEo7BEG4FFTNLLo4dX4Gx6Yv4fjZSzh1bgYzTRfn51vwoxiuH+BS0wMAbOyqo1Eto+g4GN3YvarftvZvwFBPHbtGB7ChWz/OloMqvb3LQZXe5ywHVfr588jDh7Ft2y3o3dCTrWrDxDe4Lv3Ee3GxiUajrpU1C6qAQ489gf0H9mj1IrGhu7sre7kNFUwIku9H0mYUnyOlRLPZItnQarkIgxB9Gzdkq9oQQsLzaH5PBVU+aSPH9KRqOajKZ3Z2HufPXcDuPTuyVW2YBVXRiqBqbVRQlW7UaR4qBidVADB2ZhKlcgkjI/kLdBVURWQbwlCdVFHmZXpSpWsz9VaSesOGYALGxiYxNDTQts7pxHJQlW9v+gYTRSeSe6O8DYNk07TRqGllL12ahe/72LxZ/1xTQRXt4EO9TaB/8wCGa14VJ4QkG06eOI3BoQHSRk4URUlQdXVt8P2AFKdQsEHVCp4pQdW3nxrD3zx2HF9+6CiOTV/MimJkQzd2jGzC7cObsG2gD9uGNqKnXsEt/erh2aiUsTFZrH3v8DF09zQgnSIuNV3MLHoYvziH8UvzGL84h7GL85ieXVg62VrJXbeN4r47tuPF+27DPTtvQXGFMzZZOD2Tg6qVQfE/Hh3DoTPT6xYUH9w2goO3juDALcMdg2IbVCmoQdWx6Yv4xuET+M7xCXzv5BTGL85lRa6YPZsHceCWIRy8bQR33TaCu7aNopIJiGxQpbBBlQ2qUmxQZYOqFBtUKUzWvCYBjQ2qbFAFGA6w6x1UxVzgm4+fwue+8zj+7vAJnJ9vLtU1KmXcs2srnn37Zty751bcddsoHCmSo/l8vQAwPj6Fvr5e7YQ4dW4GDx2fwGPj5/DYmWl878Qkgki9JoXEjvvu2I53vORZuO+O7UYLp2daUKULikf7erBjZBO2DW3sGBQXAZyfnMTBg/sxNbMALgRafrhmUDw1M48FL8j+mbaguOAwG1TlBFVBFOOrh07gi997El89dAIzTXdVfaVUxM6RfmwbVH22Z3QAIxu7sSk5lTo7dQ4jfd3YsnUU5+ebCKIYfhTj/Hyzrd/OXJjDxKV5tJLfbK38G/fuuRWvvHMn7rtjO7YNbbRBVYINqmxQlXKzBVUR8fU/2KBqCRtU2aAqxQZVNqgCCEHV1MwC/vQbD+PPvvEIpmYXlq7vHOnH6+7ei1c/axcO3DK86oQISw7v6gZVSPRWKuqHoUEU44EjZ/C1wyfw1UMnVgUHo309ePML9uOdL7sbWwf0D+yne1BVq9fwrSNn8LnvPI6vPHpszaD4eds347k7b0Gjmu/8fT/A0aPHcfDg/mxVGzL5jcWFVoDDY+fw4MlJPHp6as2g+J+/8A686lm7V+noxDMlqFoZSH35oaOrgpzB3i68YNdW3LNjK156x3bsHMl/xXLszAQcx8GWraPZqjaCQH2o4sS5GXzvxCQeHz+HB46cwZHJ86vktg1uxA8+dw/e8eJn4dahjavqOmGDKhtUpdigSmGDKoUNqhQ2qDILaGxQZYMqwHCAXeug6huPn8L/+Jtv46uHTiy9CrZl0wa89YV34M333oltmsXTtQiqsoxfnMNnv/04Pvr1h5Zegyo6jlqo33sQ9z97d1vwl/J0DaqmZhbwv/72O/j0Pz1OCooD4hcILyeoyvavLih++0vuwg+/5FkY3dh5kfz0DqpiXFhYxMe/8Sj+9BsPrwqC79m5Fd9/91686uBObBvaiGDFb6p0XE5QlQ1+pmYW8NVDJ5b6LQ3yio6D+5+9e+mkeC1sUGWDqhQbVCluhKDKvv6nsEGVDapSTGywQZUNqoAOQdUDR07jv3z+G3jgyBlgRVDyzpc9B/cduB28w4cqOnE9gqqVfPXQCXz0q9/D3zx2fCkoHOztwltfdBDvetmzsTV5jS3l6RZUdQqKt/ZvwDtefBfecM/+NYPiaxlUZRm/OIfP/NNhfPTrD2Hi0jygCYqfrkHV4bGz+L2/egBfevDIUt/t2TyId7zkLrzu7r1tQea1DqpWEnOBbzxxCv/r776Drx46uWqsvfu+u/HWFx1c+u1kig2qbFCVYoMqhQ2qFDaoUtigyiygeboFVYUPfOADH8hezENKCc659rOCKZxzFAoF7aAJwwiLi01s6u+8YFyJlBJC0B4oyl5BskEk+UcoekWyAKE4sSiM4Hk+uru7tJ3GOSc7R84FGGP4x6fG8LMf+QI+9PlvYPziPHrrVfzkq1+AP/zXr8e7Xv4cbB/eBCFkcm96vXGsPo2qsxUAFhYWUatVSTkc4jhGsajvh21DG/GqO27Hv7jvuejvaeDU+VlMzy7g28fG8b/+7ns4O9/E3bdvRi35xCl1jCGxoVQqkmSnp89heHiQ1A5xzFEsFkmOf63fHT1w5DR+9iNfwO984Zs4cW4GDmN42b5t+NW3fx9++5334wW7b0VfzmeGOefE/uW4dGmGlPMCiSPT9W9vvYp7dm7Fj738OXjerlsQRDGOT1/CsbOX8IXvPoGP//3DmGl62DbYh9561ciPSCmTB6te1vN8xFGMnp7ubFUb6eKYEiDoZA+PncUvfOyv8cuf+AqOTl2Awxhe+5w9+OCP3I/3v+Wf4e7tW9Dd4dOuPMlxQ/E58/MLYIyhp1d/b8t+ZO2x6zgM24Y24v6DO/G2F92F3kYNx89ewvTsAr7++En88d9+F0cnL2Cwp4Etm3qBZP44DuWzyWqcUf3I2bPn0dfXq11sIhmPxWJRu0mGZK6peamXVXmB9J+PllJCSpDuCwDOn7uAwcF+rV4kNlAWb1JKAJJsg5rD+vmD5FlMsUEFCPqNBgCQUo0dig3S4IM3qh1ofZGuBdaawyvx/QCtlot+wnpECLoN1DWGlMv+nDJuhFBrAYoN8/OLKBQKbb/VzbK8zqLZwLmA4zikeanWGPqcVsoGlROOYALm5xfR1dUgPQejiLYWWO4zvU4srXP0epHMNYrP8TwfcUx7riHxvZRxHsc86bP8foDhmnf5+a63YXZ2Do2uhnaNgXW0QT2raONch74lLTcsM4su/vUffRZv+ODH8cCRM+itV/Hvf/Al+N6Hfhr/4Y0va9sVv9kY7O3Cz7z2Xjz4oZ/GJ3/+7Xjd3XsBAB/92oO45z/8If7rl/8RMb/6X7q71jxw5DTe8MGPrerHn3/di/G9D/00/vg9r8er7tqZ/Sc3NPfdsR0f+ck34ZEP/yze96b7sLV/A87PN/H7X3oA97z3D/ELH/trzCyu/kjDzcqpczP4if/xOdz3/j/Glx86it56FT/7mnvxj7/x4/jIT74J9+65LftPbkhG+rrxi69/KR75nZ/FR37iTXjJvm0Iohif/fbjeN1vfhRv+tCfdvwoisViuf6YvW9ksVjWC+OgijFGjuZSWYo8RSaFqhOXYQNFDpclS7tHqt4vfvdJvOwD/xN/9eARNCrlpWDqF1//0rZPXcNAL25Q2XSh/pX3vxsv2bcN866PD3zqb3Hv//Pf8HeHTpL0pjopsilUWaU3e7WdlX9/ZtHFu//w07lBMfXvw9BWKibtlZXNC4pf+B//CH/8t98jBcVZvXlcK9mYC/z25/4e9/4//w2f/sdDqJSKeM+r7knm4EvIGxpZvXkwog+Bsd5l2WLBweueuxef/oUfxgO/8eP4iVe/ABu76vjGE6fw0vf9d3zw89/s+CXITpjYAINxaaJ3PWSpciuhypvIUWWxTnqf7rJUTPVSZFM5iiwM9MJA9sayIVvTGbYOPpIql2IiT5WlyuGmlL36fYZ1lNVB+k2V5wWQUi1+ZPI7qVqtot0dkVJlBS+V8jMVM8bQaro4d+4Ctu+4bemIby04F4hj9ZsqnflCqKzglCPWOMmcXa2WtXrjeDm7dJ4oYypz9/zcPAaH+nOPLRljyW+qgHK5sw2PnD6LTz7wKD75rUMAgB+8ey/e/qKDuGfnlqzoKjhX96Z7pYIxBs8LUCoVcm0FAMYcTE1No6enB11d9Y72roT63ipjDK7rrfn7Ky4kPvfdx/GZbz+JB46q34+9/nl78UP37MeLc04GpAR8n/a+M2MODh96HHv27tK2A5LfsFDe+5ZSwvMCfP3IGP7jJ/8Gsy0PjUoZ//IVd+Pd9z0HPZlXxFotj/RbIiy9vqQ/Qg+CCCdPnsa+fbu0fSalTH7fUMsd50hk1euVa4+xJybO49c/8/dL/XbbQB9++YdejlfccXtWdAnO1bvRjUYt314GzM8twPd8DI8ML/mstYhj9b6+8mU5epNXOtLfVD0+fg7//uP/F09MnEfRcfCOFx/ET736+RjoUa/TRMlXEXWvHaTzXSa/qcqzwXEcTExMwWEMo5tHtD5S/d7S0b6yks73QsFZ05cteAE++Plv4M8fOIRYCAz0NPAf3/BSvP55+7KiSzDGkvf1i9pXBR3HweHDR7B16yh6erpz2yH1p9VqZ9+wEsYA1w1Qrep/E8IYw+Jii/T7BvU6ELT3hUTvkSePYeeu27X2IvmNBeW3ROnrqLr+TXFdn/RbIiklWi2PZIPreoijCL0benP7DCv8XqNR7TjGViKEWPoNpU5v+moWxUdzLhCG6jdVeXoZY5ifX8DFizPYvn2b1o+kr/BSbEh/n6Ob7zJZO1HWLUh8GWN6G5QfmUapWMTg0EDuvZmsnZD4PcrrviZrDM7F0mviBBMwPXUOm/o3olLpvH5KMfEj1LVTiu+HqFRobea6Hmq1Wu69McYwOzuHwA8wRHhlX0q1HqlqvgKMZN1C8dFYsebVPdewIk7Qvc7NGMPYmQls3LSRtIaM4xhS6p+tSMZvGMao1cpanxMEoTZOSdH9DpwUVKkfYioxIWTyoQqagw6CCOWyzliGVrOF6elz2Lnrdm3Dqh9Qph+qyJdNG1Yt5nNGLoAoUglyKXqjaDmoyoeh1XIxOzOH4ZFBzUNwdVCVteFT3zqE9//532Le9dFbr+KXf+hleMsL79ToVKQBYyX5HdLasBUfqtDpZZiYmMaGDT3Jjwzz28zzAlQq+qAKYHBdF5VKJXeyx1zg43//MD74ub/Hgheg6Dj4kZc+C7/4+pd0PK2TUr2bXKvpgyqA4ZFHDuHAgb2EdkgdqT6oeujkFD72tQfxqX86DAD4oecfwDtefBeev2trVhQwWGTB6EMVIY4dO4k77tir7TOTRZYk/haCC4lP/+Nj+ItvHca3nhoDAPzQCw7gTc8/gJfu25YVB+fLiyydvbOz8/BcH6Obh7WyUbQcKFFkz80u4i++8wT+9BsPY3p2ES/aext+JPkAxUrCUAVVFN+w+kMVa9vAGMPY2CQc5mDL1hGtjwwCFVSVSrqxq+Z7oVDQ2vu3j53AJ//hEfz1w08BAF5391686fkH8MqDnX7Mr4Iq9aGKtecwknt79NEncNutW9DT25PbDqk/rVbzfUOK66pNFJ3vB9iKD1Xky6qABigW9X8fYHj88BHs3beT4Pc656XrBOdmv/Ogbs5IKdFsuiQbWi0PURhiQ98GTZ+pdYPn+SQbhBBJAFbX6jVpB7U5k36oIk8vw9zcPC6cv4idu7ZrZNP1EfVDFctBVZ5e9aGKiLw4jyIOx9EHVcqPTKFUKia/qV3bhnSdRbUhDFVQpZ+X9DWG2kBXv6clmICJ8WkMDPYnz8G17035EQ+1mj6ooq+dFJ5H28hBMofq9fygCmCYmZmF7wcYHR3KVrYhpdrArnX4DW8W3w9RLBa0/QCjNW8aJ6jDl3wYTp86g/6BftIaUn0sg/JsVX4kCCKCDaod9HGKQvd7SFJQtRJlqP36n+pc2pdQrvTrf985No6P//1D+PMHHgMAvP3F6nPVd94y1PGT6p1QjuHm+PofDL/w9ejJCXz+e0fxl/90CNOzi3jh7lvxY6+4Gz/w3NU76fI6f/3vk//wKH75E19ZCop/9W2vwltfdDArtgrqIgtGQdXV//ofEllKUIVkDrdcH3/x7SfwW5/9OuZdH0XHwbte/hz8hze+bFVQzG+Ar/89OX4W//ZPvoSHT00BAN79iufifW+6r2NOsJV5qnSsDqryudpf/0tZDqr09nqejy987wh+9S+/hvPzTXVS99Jn4X1vuq9tI8N+/U9hv/6XBlX263/2638K+/U/hf3639Pv639XrsGyrnzyHx7FO373k/jzBx7Dxq46PvITb8Lv/tjrcPeO/Nf9nkns2TyAX37zffjce9+Je3ZuxbeOnsG/+aPP4sNf+CbpNzvrzXeOjeOn/+fn8TMf+QLmXR9vecEBfOLn3qYNqJ7uFAsO3v3Pnosv/NK78FP3vxADvQ185O++i3f9/qfwhe8+kRW/Lsy5Pn7/Sw/gHb/3KTx8agrP33UL/tt73oDf/OFXdwyongm88fkH8Nn3/gh+5rX3YlNPHR/92oP4sf/fp/Hlh45mRS0Wi8ViecZgg6obmF/79FeXFuKvu3svvvUbP47XPXf1q0aWZbYNbcRn3/tO/Mxr70UsBH7rs1/HGz74sVXJV6812aD4f/74D+GD7/g+GxSvYO+WQfzKW15xwwXF5+ebeNuHP4Ff+/RXMXFpHm9+wQF8/Gf/OX7o+Qeyos84do70431vug+f+cUfwV23jeKbT57Cu//w0/jvX/l2VtRisawzZu8bWSyW9cIGVTcgLT/Eu/7gU/j9Lz2AouPgw//i+/GRn3xTWyJOSzvFgoP3vek+fPLn346NXXV8+9g4XvcbH70un4O2QbEZN1JQfGTiPO57/x/jwRMTGO3rwf/+yTfhv/zI/W2vuD3T2TnSj79+34/iPa+6B7EQ+OVPfAXv+oNPoeWHWVGLxWKxWJ7W2KDqBuPCQgtv+fAnlnLe/MUvvAM//NJnZcUsGu67Yzu++p/+FfZsHsSp8zN4za/9Cb6dfBRhvbFB8eXTKSh+/Qf/FCfOXcqKrhsPHDmN+3/tT3B+vol7dm7F3//ae9b4GMNa5L8f/3SjWHDwq297FT76029Bb72KLz90FG/98J/ZwMpiuUZofpJjsViuETaouoE4P9/EWz78CTx6ZnppB/hmSR56IzK6sQdfft+PLuW1euNv/yn++iH15bL14vx8E2/44MdtUHyFZIPiN/6XP7smQfEXv/sk3vyh/4NWEOIN9+zHZ9/7Tns6ReT+Z+/GF3/pXRjs7VInxB/8+HU5ZbRYLBaL5Xpgg6obhHQxfvzsJTxvxxZ88ZfehZ0j/VkxiyGNahmf/Pm344df8izEQuBn/uSv8I3HT2XFrgppHz5yesoGxVeBNCh+8d7bsOAFeMMHP44vfvfJrNhV44vffRLv+aPPqHHy2nvx3//NG1EkfMmqnWfuDxz2bBnEl9/3o9g50o/jZy/hTf/lz2xgZbGsM/Y3VRbLjcHlrBgsV5kHT0zgZz7yBRybvojvu2snfvWtr7Svil1FigUHv/GO78NPvPoFiIXAe//0y/jcdx7Pil0RFxZaeONvfxzHpi/inp1bbVB8lWhUy/izf/tWvPWFdyAWAu/5o8+sS1C8MqD61be9Cu97031ZEQuRrf0b8Nn3/gieu30zjk1fxBvsiZXFYrFYngHYoOo60/JD/NyffAlfPXQC9+zcit/7F9+P/Vv1Cd4sZlTLJbz/La/A65+7DyfPzeDn/tdf4fDY2azYZfHgiQn8u4/9NY5NX8T9z96N3/zhV9ug+CpSLDh4/5vuWwqKf/Hjf31Vg+I/++YjeN8n/v9K9+tfive86p6siMWQwd4u/Obbvw/fd9cuHJu+iPd+/MvX5WMxFsszAfubKovlxqDwgQ984APZi1nSZIdSSgihsmwXi6Wla2sVISTimC8lNsvWpwUAgiDA4kITGzf1afVyLsA5R6FQ1MoKIcB5DMdxIGWeDcpWzlVSxzy9qawQEoWCThYIgxCu6y8llkzlo5jjX/7XT+M7x8exe3QQn/nFH0GlqOyk6I2iGEiypGfrs0X1oUjaob1+td4IjDGtXkBiYWEBlUoFpVI5114pJcJQ9UPeWFB6lxMJ6mRlknBW178yGY8v2X0LTl+cw+Pj5/DVwyfx5hfcgXKx0CYLSExPn8PgQD+Q0w5NL8A7f/8v8ODJSTxvxxZ85MffhNGNPW1yK20IwwjFYrGtrlMJghClUqnteqey3A7tdStLHMe4dGkGg4P92j5Lk1BS+lcICc45GNPboBJLxiiV9H6EcwEpJF75rN04dX4G3zp6Bl89dAL3Hbgd/d2NJTkkyV6jKEZ3d0OrN44FHjwxjn/1R5/FghfgX7/yefilN768TQ5JAkghVLJVnV6VkFTCcXRzWPWZlFLrywBgbn4BYAzd3d25sjIZCwDgOCxXNp1rjDGCvUrWcfS+QUqJnmoZL9p7K756+CT+6akxHJk4jzc87wBYZk4zxnB26hx6N/SgUqmQbKD4BiUbwnFosr4folhUSSWz9SuLECL5N/o2AIDz585jU/8mrV4pJXyfNt9Tf07pBynpPkcIiSCISDYEQQgex6hWq7l9luqNIqVXL6uSzlLsVUmQaX3BuUAcc+0cBlSS+GbLxSbiekQm4zhbt1rvsh/RzXeZ+GnKc00u+Rxo2wEA5ubnUSg4aDTquTaotRMn2xDH8dJHerJ1KwuW1hiOts3UWk/AcRjJhvn5RdTrNdL6KQxDkh/hnJPWTmmhrkfk0rws5MpixXOtq2v5ebdWUXMtRqHQvq7JFtVn+n6Qxu2gnu86GwBgZnYO9VoNpbJ+jZGuuyk2LMcq+rmW9pluLEgp4Tj5OxjkkyrGVhdAtl3rVChy6W8QJFOOKVvfqSj0upWs+gfZ61l96r+VU83Wd5bV27D8+wolt1L+w1/8Jv7mseO449Zh/Po7XoVGVT3Qs3Kdiq4+W1Ky17MltTd7vXNRjk5BsYcik9pgYge9lIoO3v+WV+A1z96N8Ytz+JVP/g3mPb9NjjEGJiXQdn25cCHw4//jszg6dR67RvrxZ//2beiqqczvV6usRxsk3bVOc639Wl6h6k1lf+/HXofvf84etIIQP/qHf4mFFX23NNeSBU7232fLxcUm3vPHX0AsBN75smfjP7/1lW0yqV71vzR7l8mXxdJc18syxpA8eUn3lpb0b6xVTO5tpWy2bq0y2NuFj/30mzHY24VvHR3Db3zma20yjCnfr/TqbaD6BqpcKqv+dv7fX5Zvv9apABJS0vvrav/9ZXmaXlXosurRSpNX0GWz19YqprJ6GxJBw7mmK2ZzTZG9fuWFAcqNaO/N3IZ8fWkxmZfGZamNde1rZoOZbP7fNpdNfR5F1qyo+6LpVbLUPm6/1qksD0ZqW5iXq61XB+mkSjWkKkhOrsrl8qrra5V0d9dxVDS8VomiGM3FFvr7N7bVZQugoslSqdRWly3KXkmyQSYRAkWvTBxusVhsq8uWOIrh+wF6erpRKBTAGMNf/uNh/PInv4Ki4+C/vef1ePHebWBJezmOQ9KbRuypzrySBj+lkl4v5xzFYoGkd3GxiXq9hkql0laXLZxzlEr6fmCMIY7VKUahoJeljjGW2NDf2417dt6CT33rEL53YgLlYhEv3qfaf2WZPnseIyNDa7bDhz7/Dfyfbz6CO24Zxq+8+T7s2TK0tIufV+KYo1KhzZ8oilGt6tuWJe1A61+BSzOzGB4ebKvrVOI4JvUvS+YFZeya+BEA4FygUimjUHDwnO1bMHFpHt87MYELCy7u3XsbamU1Z30/AI85enq72/SsLFOzi/iVT/4NHjk9jR96/gG87033oau29j2qXSqgnPydvCIE3Tekpw16nwMsLCzCcRz0au4t1av8SOexu7KoU/8Cyd5lWYpegWKxgE09XdiyqRffPjaObx8bx0BvF+7aNrokBwDnzl7Axo0bUK1V2/Rki4lviGOOUqlE8g1RFKFSKWtlFWxNv5AtF85fxNDQgFYvS2ygzHckixaqDWoO6+caM/A5cRxDcIF6vdZWly2AGjsUGwCQfaRqB1pfKJ8jSXM4CEK4rof+gU1tddmSBigUG6hrDGDZn1PGjdpBp6wFgIWFJorFIrq7uzrULxcsrbNoNojkzR3KvFRrjKLWXmUDyM/3hYUmuru7SM/BOOYol/W+YbnP9DrZ0jpHr5clc43ic3w/AOccvb09bXWdCueCNM45F0mf5fcDM1zzqrlGs2Fubh5d3V2kNcZ62aCeVbQxpoN8UmW5eoxfnMMvfOyvAQC/+cOvtl+Iuw6MbuzB//g3b0TRcfD7X3oAj5yayork8ulvHcKHv/hNFB0H//ltr8S9u2/JiljWiS2bevHrb/8+bOyq488feBR/9H//KSui5Xf/6h/wVw8ewZZNvfhPb30lBnu7siKWq8gPPHcffur+F8ILI/zKJ76CU+dmsiIWi8WyBvrFrMVyI2CDqmvMghfg1//ya2gFIX7kpc+yOYyuIy/Zvw0/9ZoXIhYCv/elB7DoBVmRjtig+PpzJUHxVx45ho9+7UE0KmX88XtebwOqa8R7XnUP7n/2brSCcGn+WCyWK2f5NXyLxXI9sUHVNeajX/sePvNPh/Hs20fxrpc/B4Xkx3GW68NbX3QQz9u5FV968Ag++Q+PZqvbsEHxjcPlBMVHJy/g9770DwCAf/cDL8K+LYNZEcs68ktvfDnuvHUE33jiFP7sm49kqy0Wi8ViuWmxK/pryOnzs/jtz30DAPDzr3sJ7rx1JCtiucbcPrQR737FcwEAv/elBxAkX01bCxsU31iYBsV/+o2H8d3jE/jB5+3D2190MFttWWf2bB7AW+69EwDwqQcew8Sl+ayIxWIxhPBTD4vFcg2wK8JryO988R8QRDHe9II78Kq7dmarLdeJN9yzH8/ZvgXn55v4i28dylYvcercjA2KbzCyQXEY86zIEt9+agz//SvfRqVUxC++/qXorlWyIpZrwI/ddzfuum0U3zp6Bl968Ei22mKxWCyWmxIbVF0jHjg2gb959BhG+rrxzpc9O1ttuc68M3mN768efBIRF9lqAMCHPv8NGxTfgKwMij//vbUX6b/12a8DAH76NS/EzpH+bLXlGlEsOPgPb3wZAOB//M13EK8x3ywWCw37myqL5cbABlXXiM88eBQLXoAfeO4+PH+X/VLcjcabX3gntvZvwFcPncBDJyay1fi7x47jK488ZYPiG5Q0KP7KoeOIRfsi/bPffhwPHDmDPZsH8IPP25ettlxjnr/rFrxo720YvziHz/zT4Wy1xWKxWCw3HcZBFfVb7eiQ3yoPxhj5o5lUnbgcGwhyMJR9cvICvv7kGVRKRfz0a16YrV6FiV4rq6DKpnKdZIsFB+948V0AgM9954ml66nsx/7+odygWOnNXm1nrb+/FushS5WDob3XUzYNir95ZAyHxy9kq/Gxrz8IAPj+u/di9+gAQNSbYiarcl1QMNP79JGtV0p47bP3AAA+9a3HAINxmac3y3rIUuVWQpU3kaPKYp303hiy6znXslc7Y65XL5vKUWQBLOVHpEDVa2rDesgu25Ct6QxVLwxkqXIpJvJUWaocrOwS6yWrg8k0s1kOrustJUCTUiIIQtRqFe2Rs5QSYRglidDWNpgxhlbLxflzF7Bt+62QIl+xEGIpQaHOfCEkoihGuaySheURxxycc5LeOOZLifHyYIzhtz7zdfzR330Pb7v3TvzG216ZFVmCJUkHGWMol4va9o2iGI6jkg7q4FyAc5XsLg/GGDzPR6mkEvPlwRjD1NRZ9PZ2o9FoaNvM9wOUy+XcsYBEr+u6qFQqcAgfggjDcCmZYh5SSvh+sJTYMsvDp6bwxt/5BLYPbcTf/cqP4fDhJ7Fnz04cnb6E1/7Wx1EpFfHN//QvMdDTyP5ThGGIcrmcvdyGlBKeF6Ber2arOtJquWg06tnLHUnnWodbW0UQhDh58gz27dul7TNlr496vZatakNKuZSYVQfnAmEYol6vaW0QQiAI9LJ/8OV/woe/9ADefPcefOhHv39J9nsnJvDm//fP0VOr4Jv/+V+hJ/ktVRzHiGOOWq2aqxeGslHEAdB8QxCEkFJqfY7jMExMnIXDGEZGh3JlkYyFNPlvHul8LxQKWp+TyhaLRZJe3w+SBJ+d57AbhDj4C38IAPjzH/s+7Lz9FvT0dufem/IN3lLCzDwYA1w3QLWqksjmwRhDs9laSmSbhxACUqpEpzoYYzjy5DHs3HW71l4YzHcTG5A8w6lz2HU9kg2u6yGKYmzY0JPbZ1jhe+v1au4YQ3JvSlZvr0k7KJ8TJTasbQRjDHNzC5i5NIPbt9+WKwsAnKvfcVJsiOMYnAvtfJfJ2ilNXKojjjkYY2vOtRTHYZgYP4tSuYjBwf5cG9J1FtWGKIpRKDjacZ76EcoaQwixlMCbYAKmps6hv38jKpVy7r0xxtBqeahWK9r1COd8KZkuhSAIUC5XSPa6rodarZYryxjD7Ow8giDA0JDaEMxDJmv0alX/m+EgCFEsquS/OqhrXhjYwBjD2JkJbNzUh64u/RoyjmNIqRIx6xBCzXdKrBIE4VKSax0630gKqtIbAQAp1QJHLS6ykqtRjkEtePOMZQxoNl2cnT6HHTu3afUKwVcEVdna1Zg4BuXw0qAqW7sa1Say4wLyj//2u9jUVcP+rUPYs2UAr/jA/8STkxfwZz/zFrz0wPas+BKMqc5ljKFcLmltiKIoCar0A0w5Bq5d+DOGFQ4vXy9jwMTENDZs6EkmRFZiNb7vJ0HV2mMBid5Wy0W1WtXKAkAYBiiV9Asn9WD3Ua1WO8rGXGDfv/1/0QpCfOe3fgIXx8dx4MBefPivHsDvfukB/MhLn4Xfesers/8MSBxppZLvQGAYpABAs9lCV1d7ENcJamAXBAGOHTuJO+7Yq+0zabDIkkZBFV8RVGVrVyMEh++HaDTyZR86OYnX/dbHcFv/BnzrN398SfZ9n/gK/uRrD+Kn7n8BfukN6rc8ABDH0YpAaVlPJ0xkoyhOgqr8dkjnu1wKqrISyzAGjI9NwXEYNm8ZyZVFMhZUUKWfw8tBVb7PSWVVUKXXuxxUrf3Aft1vfQwPnZzEr73uBfihlzwHvRu6tTYsL4byfQNjgOv6SVCll11cbKHRqGllTRbyjAGPHz6CPXt3ae2FwXxXNgitj05xXRf1Om0Ot1ouyQbXdRGGEfr6enP7DCv8nm4OI7k3Jau316QvlM9Jg6ps7TKMAbOzC7h44SJ27ro9VxbGQVW0IqjK1i6Trp3KZf1zDcl6RAVV+TakfqRULmF4eCDXBrV2isg2RFGEQqGgHeepHymVSlp7heBJUFUGwQRMTExhcLA/CaqytcuY+BHOVSBMebYiWedUKp03brO0Wq52I4cxYGZmDr7vY2RkOFvdhgpoAlSr+o3bIAiSoErvR/LWvFnSOEFnA2PAqZNjGBjcRFpDxnEEKUGyQQVVtFglCAJtnJKiC+hIQdVK1K5xgFqNsiiU8P0QlUpJ+6BqNluYmjyLXbvXDjpSOF8OqnSozlVBlW5HIoqWgyodUaQGWKfdi1/+xFfw37/ybQBAo1JGKwgBAL/+tlfhBXtuxc6RflTW6JiVQZUOtRvNtAscJLsMnHNUKnrHkAZVFL3j41Po6+slPYQ9j7bAQeJsqtWqducNSwFNGfqs6xKu6yenRJ1l3/rhP8NXD53Av3jZc/D8kR78wH0vwKt+9X/h8NhZfPrf/zBesn9b9p8AySmccqTZmiwSrRYtSAHUQq+7W9+2SMYOpX99P8DRo8dx8OD+bFUHJJpN2iILkAhDNdd0pIESJbjkfDmoyiPmAjt+4rfhBhF+51+8Fi87cDu29m/Ac37hDzB+cQ5fft+P4jnbtyzJR9FyoKTDRDYMVVBFaYeVQZWOsTMTcBwHW7aOZqvaCAIVVOkeAEjmZRpU6UiDKopedTJdhOOsvXD6tU9/Fb//pQfwz+/ehV97x/3o3dCTFWnDxDe4Lm3hBACLi000GnWtrJQCnEvtaV3KoceewIE79pD83uJiE93d+mTUnKugiuKjYXACBsjE5+htaLVchGGIvr4N2ao2hJDwPJrfk1Kg1fLR1aWXVe1A6wvlc1RQpWN2dh7nz13A7j07slVtxMkXRyk2RNFyUJWHECqoqlYpzzW14HUcljvXUsbOTKJULmFkJD9HH+cqqKLaEIYqqKLMyzSo0rUZ5yqoojzXAGBsbBJDQwMk+VbLQ71e0c7L9HSRohPJvdVqFVKbqWdrTSt76dIsfN/H5s2ULw6rt2Eozyq18VUg+ZG8NW+W9O0Sig0nT5zG4NAAaY0RRSqootggpYDv02xQ6zd9nELhyjXkkIZrZmHb1eV6/O2XrziNSgMqAPiPn/gK7nv/H2PHT34Ih8fOLl1/JrFe/UHRSxmPezarB83//vqD+Def+Bp2/tR/WeqrY9MXcXjsrDaXVR55f/tGxMTe9ZKlUiw4eM7tIwAD/t1Hv4Tn/MIfYOdPfgjjF+cAAI+cmsaDJyYw7/rZf3qVWYebu0nR9fPLD9wOAHjq3Gy26oZFd0+duJx/cz0wttNUnoCZDXRhM703BlSbpaTLmrJeek1YLxtuBL0mshSutr6bFdN2MJVfi3UNqp6p3Lvn1jVPopB80vnALfpjXMu1Z2PX6tOQlUHxL/2f//uMD4pvdHYOr/5U+soA6pf+z//F/b/2J9j7079j++8G4ZZ+dcpxbsHLVlksFiL6NyQsFguF6elpXLx4KXuZjA2q1oFKqYh799yavQwAuO+O7fj51704e9lygzDYq157yXsFyAbFNy4bkld7nJxVxn9448ts/90gbExe8Vrwg2yVxWKxWCzXFN/38bGPfRxTU1PZKhJrrxwtV8RL9rb/9ma0rwf/9V+9HkXCO8eW68Pr7t6LU//tvXjZGr+dskHxjc1Aj1qkb+ru/HuM+5+9Gz/z2nuzly3XiUZV/U6hGUTZKovFQuRqvbpksTzTGRkZwbOf/Sx88pOfwtTUdLZai13drxPP3r551f890F3HB/75K7BxjcWe5cagUS2jUS3boPgm5fvu3IEH3vcuvPsVz81WYWv/Bvz+u38ge9lynTn8uz+Hr/zMG7KXLRaLxWK5plSrVbzoRffiuc+9Gx/72Mdx4UJ73ss87OpwnXj27Ztx563LX2p52wv24fufo5JdWm58skHx8IZu/OrbX2WD4huceqWEeqWEu3csf+UPADZv7MGvvvWV6CV8+ctybUlfubVYLJdHztvOFovFkGKxiBe84Pm4994X4n//74/i3LlzWZE1sUHVOlEuFnDnrep3G/fftQvvuvfOrIjlBubZt2/GjoHlTwX/61c9D6+7e+8qGcuNy93bt2Df1qGl//tfvfJ5eI3d1LBYLBaLxaKhWCzi3ntfiOc+92584hN/jslJ2m+sjIMqx3G0Cb1SGGPkHCHVapWUPBVJkj1dnocUZW9Zm6MKSVIvqt5Sqaj9Vv6L923DtsGN+IN3/yAqlQopF0ClUtbqTSmXSySdSHJoUPMsVKtVst5KpUIeD9RkvkhkKfkukNiQlzwvRY3Hzol/s5SLBewa6gOS31n91P0vzIqsolql5KhatoGKiSy9fyvkuWZiLzW/GpbmME2viWzqR+qV0tKmxhvu2Y+fePULsqIolUpkvSay5XKJ3A6VSpnscyoVer9VKmVSLikkbUa1t1qtGuitaJN7ppTLZn6E6htMfQ5F1nEcbX6dlVQqtGcgDOZ7oaBP7LwSql6T+V6tVsmyjkPXa7LGKBQK5L64HD9CQeX5odmg/Iher2ov2nMNyQKQOteoz+xCwTGyoVwuGc1LSpsVCmrdQjQh8ZHU5yBtvheLRbJOJHqpbUaVNRmPZnOYti4Fcc2bYjKHqeMRyfxZDxvWilMcx8HLXvYyvOAFz8cXvvAFXLyofxWQlPz3L//yM3jqqWNwHAYpVYZpSkcoWY5CoaCdFGEYobnYwqb+PuhMEkIl8qNMSiUrUCg4WhuEkBBCEPVKALJjR6T4XGIhkugrCHiuh67uLm1wxzkHYyxXb4oQAgDT6kTSF0KovtARRRyFgkPQy7CwsIhqtUIa6FGkxo2uH2AoyzmH4+jHmJQqI3exWNLKAgz/NDaLx6M63rmtjJKmO+I4RqGgt1dKiTiOSRnBkcwLStsiaQdK/8Yxx8ylWQwODUCX50VKlXCPYoOUgJSCNHZVX8SkBboQyudQZD0vQBzH6O7uwpEFjgcuxGv2nxAqiWuppG8zU1loviCZQk1eyhjD3NwCGGPo7e3W+kjlRyhzOE0c6pDspfsGNc4cpwCdWsYYzp09j97eXlSqFe2YNPEN1HmJZK6VSnrfkHSv9r5Szp+/iIGBfq1eGMx3ZYMk9QOSpJkUn2My36MoAo8FqjX9Ys9kvisbYpTLelmTdkjXI7q5BjD4vg+35WLjpo3a8ajWAioQ0iGEgBD6+W6ydgIAzmWybsjWrCb1I4WCg66urtx7S9dZdBtE4nOyNe1Q/YgQy88Uig3z84vo6qqTnoNUPyKEhJSCpBMGemHgczzPRxxzdHfrE+SarNGVj9b3A5baQZICZ5P5Pjc7j3qjTvI5Js9Wkzghrx0KBQdSAt/97ndx22234bd/+4NZkVWQgqoTJ05gbm4OjDFIKREEaZbtfFIHXSoVtdG45/m4cOESbrll9W9ZOiGEWpjSOmF5EasxAXEsIAQn6Y1jAUDvHAHA9wLMLyygv3+TdkBGUQzG1O6IjjiOwZij1YnE6aoBpp/sQRChWKRlRj937iJ6erq0WaulBMIwRLlc0o4FJBmuy2XaCWMU0QIlKYEgCJKTrWxtO48cPorGwBB2Di2/BrgWVOeY2kDZrQQA1/VRJ/4OKIpoTiwMI5w5M4GdO9s/xpFFSvWJUV3/wmjRouZlGIakdjCRXVhoIggCDAxsQjOIcG7BxfaB3qwYkDhSzgUqFcp8N5NFsoOtIwzVV+8oPufs2fNwHAeDg6tzcXVC+REHxaJ+Dvt+SN5tD4IoOR3Q6w3DCMVikTSHnzp6Eps3D6ORfGI9DxPfEAR0n+O6Pmo1/c68WlwAhUK+XMrx46ewffttWr0A4LoearWa1o+oDUBJ6gckbUaZP1ICnuehXl+dr68Tvu8jCmN09+h/E2fi96SU8P0QNUKwxrla6FHaQQiJKIpJc3hxsYWZS7O49bbVv83sBOdqoUd5XsYxhxBCO9+X1076ZwqS9Yjj0DZYz569gFKpiE2b1JsYa2GydkLicwqFAskG6hpDrVti0vMdyb1t2tRHeg76fpCcguUr5lxACEHSubzOoZ2ueZ6aEzrZ+flFhGGIgYFN2ao21FwLSWv0MFT+XNcPSMaYlNR2kAjDiHTCNzk5jb6+PtI6Rz1bJWl9rNYNMarV/LkG7bNKzatPf/oz2LRpI37u5/5tVmAVpKAqSxzTFk5IbqyzoasJwwiTE9PYdvst2aqOUPViHWWpRGGMS5dmMDwymK1qQ8r1+9EpVTfn6mSPwtmzF7Bx4wbtQwIGJykwCBCQTGCdY0yJY9oODgA89ugTuPPgvuzljpiMG5N7C4KItAiAQf8KIfHkkWPYv29Xtqoj1N1zU0z6gtpmi4steK6HwSF94AHDsW4iS0UY7HJPT52D4zgYGh7IVrVBHQsw9OcmbSAE7dQSAA4fOort229BjbCYp44FGN5bEISkRYApR548hj17d2Yvd2S9bDBpM6oNURQh8EN0EXbPYWhDGNJOqkyJY0EKwFotD+fOnsft2zvnm7wSqM8Kqpwp01PnUSqX0N+fH1RhHW0w8SMmz/fp6fMYHh4k+T6T8WjiT03ujTrOFxaa8H2ftKEGg3G+Xv0Lg3YYH5vE4NAgeZ1jwtVqh89//ovwPA//7J/dh/7+/D7Q/7UMQghEUZi93BEVrYZLR3Z5hGGIKKLlKuGcIwxpNgghEIbR0uIljyiKyXqVLM3e9N7iOM5WtRGGoYFemk4kiwvqvYVhSNYbRZGB3og0FpDYkO4A6gjDUPs6FFbsnlBkASCK46VTBx3KhuzVdtI5QWU9ZMMwREycayb2pu1LQc3hqy8bRRHZj5iMXRPZMIyM7KXqNbk35XNM5vDV1xuGETinzZ84NrPBxDeY+ByKrBCC7BeQtC9FLwzmMOeC7KNhoNdkvochfTyqXWOaXvXMpslyzsl9YbJuUOOcdm9xTLeBOt/T9iI/q6KYPNeofoRz1Q9UG9R8p49zSpulvp9oArl9kdhLmZdxTF8XIrk3epvRZKl9hmQOU9foqh9ofsRkzWsyh9W90WVNbKDqDXN8/yc/+ReYnZ3Dy1/+Mm1AhcsJqiwWi8WSx9o7XhaLxXK1oZ6iWCwWGkII/MVf/CU8z8VrX/tqDA3p3zSDDaosFovFYrFYLBaLRQVUn/3s59BsNvH93/8aDAzoX7lPuWmDKsqRqeXGwvaZxWLphJTqgwOWm4enc5/dbPd2E5m6rqh+y159enAzjUcTbsS59ulP/yVarSZe8xqzgAo3a1BVKBRIXyO7GaF+yOFmpF6vkX+4frNB/SGtxWJpp16vo7u7O3v5acPT0e91dTWetn3W1dWFRoP2AQ7LjUNXVxfpq3c3G9VqNfkE/tOPRqOB7u4b597+7u++Cs/z8OpXvxpDQ2YBFW7UoGpxcREnT57EqVOnOpYTJ07gyJGnsLi4mP2nNx1nzpzBiRMnceLECYyNjUFKuS5fWruWjI2Nd+y/p556CtPTZ7PiNzUnT57E1NQU+UfCNzKXLl3CiRPHceLECZw4cRJBEDxtgsXx8fGl+zpx4iTm5uZQKpXWaYdsPXTSmJycwoULF2+qfjtz5gxOnjyJJ554AuPjE9nqm540oDp27BharVa2+qYkCAI8+eRRPPnkkzhx4iROnTqdFbmpeeqpp3D8+HGcOHESk5M3/pi83Ol+7NhxXLp0KXv5pmNycgonT57EU089hWPHji+tOU6ePInJyams+E3H2bNnceTIkaVnmOu6WZGbhiAIcPr06aU14vHjx/Hkk0dW9Jla41+6dGmdns/57N69C695zf0YHKT9hiqL8SfVhRAIggC1mv7Tt1LKpTwhup26ZrOFqcmz2LV7O774xS/i/e//zx0XBoWCg+7uHiwuLuD97/8VvPa1r8mKrEJ9hUTltMr7ZCJWfEGHkksjimJyANRqupiZmcXI6NDSJ6RnZmbwmc98Bn/yJx/H/Pw8pJQYGNiE17/+9Xj3u3+UtAMYhhEch5E+S63y7HDSp3I9z0epVCTpHR+fQl9fL7q61K5es9nEu9/9LzE+Pgnf91f1YRzHePnLX4bf/d0Pr9DQmVbLRbVaJX2SMwhU3ppO42UlUkp4nsq5pJMFgAcffAwHD+5f85PM3/ve9/Dv/t0v4LnPvRvvfe97MTCg/zKMlBKu66HR0OfjQfKJcErCPxh8Ctn3Axw9ehwHD+5fuvaVr3wFH//4/8HDDz8CJFnk77//1Xjb2/459uzZR/rsq5QqDwxlTnDO8f+1d95xUhTp//90z8zubM6JJSgKCIiAiuEE1DOHM50BURFBwQB6Kipg5kwooJ53phNR7zw5UU/0jOedp/g9DAiIEhRhAxvYXdg4oXP9/qju2ZmeUNXC6i6/fr9e9Xrtdj1d81RX1VP1dKhHlhWueDi6rkOSFGRlsWVbW9sRDoVR2b8CABAKhfDCCy9ixYrX0dzcAkEQ4PV6MG7cYbjqqqtwxBHj7EUkRFVVaJrO9YTc2p2I5zrIMt39icfm1NbUQRRF9B/Qz54FANi4cRPmzp2Pk046EbNnXwdN07m2DA6HJXg8Hi59w2EJXq+Xq1xJkuHzeVM+ff/b317BU089i5aWZoiigIqKfrjkkotx8cUXJ73WTmxDKBSG35/OnH8AoKsrgKysTKaswRnA1WL7thp8vfYrPPLIIjz66GIcc8wxdpEIXV0Brru2uk5jxvDYaJjXjMfmEEIQCART6lBdXY2nn34WH374ISRJgSiKyM3NxgUXnI9zzz0H++23n/0UGAZBOMxn9wzDQCgkIZsjZpmu6yCELyYctTlqyng4DQ2N+PvfX8Xy5X9HV1cXRFFERUUFZsy4EqeccjJyc3PtpziKS6eqdIc81ni3dv/jiaMEc24VBCHlWLOoqa5HYWE+Pv7vv3HffQ9i2rSpuPrqmXYx6LoBVaWxhnh0UBzEPKJrDB/zmlm7O6aK+6TrOqZPn4Eff/wRgUAAoihAEKgOmqbh4IMPxssvv2Q/DcFgGBkZbNugaRp03eCaW2HWjcaeSqJwFIFACFlZGSll33//AyxdugwbN34HUfQgPT0Nxx9/PKZPn4bhww+yi4MQAkmSk9rPaCRJNmMUsu2IkzUv9ROUhDps3rwF06ZdGblpq2k0vpl1DfLy8iBJEs4//7f43e+uj2kfVaU7Qe6pDnZo7EO2n8LDnpfQA5SWlmPChPExafz48TjuuIk44ogj8M0332D79mqujtAbCYVCeOKJP+G++x5AaWkJJk+ehMmTJyE9PR2LFi3B88+/wL0dZW+jsbERa9ashaLI+PWvj49pw2OOOQYjRw63n9InCYXCeOSRxfj667Woqqru00+qvvjiS9x223xs3LgJZ531G0yePAnHHjsRb731FubNuxO1tTvsp/QJVFXFffc9iPvvfwD5+Xm45JKLMXnyJJxwwgl4//0Pcdttc/HVV2vsp+0Fkk+QPUVVVTXmzbsdq1atQlPTzpSTdG9h2bIXcfvtdyItzYczzjgTv/3t+fD703H33Qvw8ssvJ93itq/x8cf/xYMPLsSGDd+is7Nvv13R2dmF226bj2XLXsTYsYfiwgvPx+TJk1BUVIRFi5bg0UcfR3t7u/20PkF7ewf+8Ic/YsmSR1FZWYkzTj8DkydPgscjYv78O/D66//4Re6c8+BELb8/DV9++RUWLVqCdevW9fm3RwKBAD755BMEgyGMGzcOxxwzARMm0DRx4kSMHTvafkqfYeXKt3HrrfOwbdt2nH766Zg8eRJGjRqFV19dgfvuuw/Nzc32U3o92dlZOOaYo8114QQcftjhOProozFx4gSceOIJqK6uxrp16+HxiMwHIb0SwoGu60TTNKJpGlEUlXR1BWKOJUuqqpJgMEQURY3Li066rpOOjk6yZfNWYhgGCYXCZNeuXXGpo6OTzJ9/BykuLifz5t1O2tvb48qyJ0VRSDAYIqrK0kEj4bBEAoEQs26WbCgU5pDVSWdHJ6mpqiWyJBFCCHnjjTdJ//77kQsvnER+/HEbCYdDJBQKkS+++JIceug4MnDg/mT79u2EEBJXXrQOoVCYSJIcl5coybJCQqFw3HF70nWddHUFiCRJcXn2ZBgGqanZQTo6Oomu64QQQt58cyXZf/8Dyfz5d5DW1taY9qurayBtbW1x5diTruukszNAFEWJy0uUgsEgs301sz92dnZxyRqGQb76an3c9bXquWDBfaS4uIyUllaQSZMuIQ0NO4lhGHHl2JOqqqSjoyvueLLU1tYZdyxZ4mlfzbxe69Z9SwxDJ8FgiJx88mmkqKiUPPfcUtLZ2UnCYTr+br11HikpqSD33ntfyr5oJVVVuXWQZZl0dnYxx48TWV3XSUvLbrKjto4QQsjGjZtIRcUActZZ55AtW7aQcDhMwuEQaW1tJU888SeSl1dIbr/9DqIoSsqydV0n4XCY2+5124b4PHu5wWCIBINBZrmGYZCqqlpSU70j0s8IIURVVfLVV2vICSecTAoKiklFRX9y9933Ek3TucYwHe9BEg7z2bKuriB3uYFAkMhyvH0ihJB169aTI444ihx00EiyceMmsvbrDWTXrlaydu1actxxJ5ARI0aR1ta2uDFFbUMXkWW2baD6BpjzjyXb1tbBJasoCuP3dVNvnSxfvpyMGD6KlJX1I4WFJeT99z9IOZba2jrijiVKiqLE2aZUidfmqKpK2tsT66DrOnnggYdIXl4hueGGm8iOHfWkuXkXCYdD5IcftpKTTz6V9Os3gLz66oq4OioKtb2sPkZlFdLRwScry/zXQZblpGOYEELeffc9kpdXRM4++xyyfv035LvvNpNwOES+/PIrcsghY8nhhx9JNm/+Pq5usqwk7Of2ZNmRQIA93hVFJYEA37ymaRqRJJlLB0IIqa6qIeeecz4pL68k+flFZMECat/tOvGunawUDktcc7ZlG3jaTZbllDoQQsinn35Gysr6kRtuuJFs2bKVNDQ0kl27dpNdu3aRlpZdCdcclh3h0VeSZBIKheKOJ0uBQHJ97amjI/F6RNd10tLSQo4+ejw59NBxZPnyFaS6uoaEQiFSX99ALrtsKsnKyiWPP/6HuP6oaRrp6grGHUuUgkG+dtA0jYTDMvf8rqrUT7Af18w2tdpn167d5Os160ltbS3p6OgkL7zwIqmsHEguvPBi0tDQENcn6dzKnn80s/8GAonHuz0FAkGuvqCZfS4VXE+qEt0FSXQsEVQutTAhViIABPj96SgqKopLa9euxcqVK3HYYYfimmuuQV5enr2ohFjlpyI6f2/LEkKvgCB6EAgE8a9//QuCQDB//jwccMBg+P0ZyMjIwLhxh2PatGk4+OCRkCQpZdmEWB58CqEoeK4BOOoTi7nTTlTZa9eug6ZpGD16NAoKCmxtWJjw9Qk7Vl/g14X3bgavnNUX4xUQRRH/+c/HeOmlv+Kkk06GKIoRWf67mLxyzt6V5/19QgSA0M01AoEuZGVl4qKLLsSFF16AnJwc+P1+FBUVYfLkSSguLsK3326wF7EXoBXjVJmr/1oyltzbb7+NpqYmTJw4AcOGDYPf74ffn4GCggJceOGFyMnJwerVn2PHjh0pn+xE/y5Lh2hYslY+T90AASDE7DlU13A4jIULH8bUqVegq6sDI0aMgCAIkX7ALtOSoWONJR+tLwuWzKefrsLWrT/i6qtnYsSI4fB4PPD5fBg7dixOPfUUVFdX44MPPogbszx6WjiVdUbyEwQB6OjowJw5t+KWW+YiJzcHp556KjSNvj6TGlZ+NE5k+UmmIiEEK1a8htLSMkyZcikqKsrhS0uD35+BIUMOxG233Yquri5s3brVPGNP2s6J/XdGfLl0zASDIQwbNhSzZs3CAQcciDQfrduhhx6G008/DZs2bUJdXfz3Vby6RsvwyDuB3a+6ee+997D+m/WYOnVq1PwVr5OT9oLD6+BEX0py+7xmzRqkpaVh1KiD0a+yEhUV5SgqKkRRURGKi4uQn59vP+Un1M1+JBVOhBPLCoKAt9/+J6qrq3HxxRfhlFNORkZGFjIyMtCvXwWmT78CJ554IkTRY+rWfX3o/4nLtdNT9UpVrtfrjbRPUVEhCgoLUVnZH01NO/HSS39FSUkJbrvtFlRUVPyEfhKL03beG3A5VaIo/mzJWtvQAdq9UG1ubsEf/vBHtLd3YM6cm1BZSb8rsJ/fm5PX60VzczO+/PJLHHXUURg9+pDINdZ1HYIg4IorpuCxxx7FwIEDIQi9u36CEPs/IQaqq6uRmZmBU045CS0tLXj//Q/wzTd0UW69R24vp7cme/08Hg927tyJhQsfxpgxo3HddVfDMIxe306JkiAKAATk5eXhoYcexNy5t8V9x9fZ2RnzQay9jN6cAGDYsGG4/fa5GD9+PBBjU4C8vBx4PB7IsgxNo2PPXkZvStF9zPq7qqoa7777Po488igsXrwIxx13bOQ9dfv5vSkBQHNzMwRBwHnnnQOY9s8wX6EdOnQoCgsL8eqrK/rk2BJFETt27MAHH7yPiy66EHPm3ILhw4fBMAyIZv3t8n0lTZlyGW655SYMGzYUiqLA0LTIoqWoqCgyzvpaHQVBwLHHTsTSpX/G+PHHxDjAHo+AtrZWAIDPR78Bsp/fF5LH48G6devwpyefwrnnno2zzjoThBCIfbhPAsDWrT+goKAAEyZMQFNjI9599z2sXbsWFlYd+1ISBAGrVn2GwsIinHnm6cjPz4UoClBVDQBw7LETsWTJIlxwwW/7nI20bvxZczG9CdWJpUuXYc2ar3Dddddi7NgxvbZPsmBLmHfeBEEwk/V/9LFUiUcu9o68PR8A3nnnXfz3v5/goosuwLHHToCq0o/B7bJ7npzUzZK3H4vPt67jrl27sG3bdhxxxDhUV1dj7tz5uOaaazFjxtW49Vb6jceQIQdGtnONL4/3d+2Jt148MjR1NxgtOxAIoLOzE4IgYsmSxzB79vW4/fY7ceONN+HGG2/GF198BdEcVKkTr67R8vZjiRKvXHfd7McWL34UVVXVuOmmG9C/f6X53Udi+b2ReqLM6KZLT0/H0KFDMGBA/+6D5qYHixc/CkIIfvvb84G9rodVnpNyWbK031icdNKJuPHG32HMGPpOfbTcZ5/9H7q6ujBy5EhUVlYy6hd7bnx+bALijyVO/OVaWH8JgoDi4iLcfvs83HffAowfPx5ZWVmR75BY5XUnfh2s6xt/PFFKLhcKhdHS0gKv14vCwsKYaw8ABx54AMrLy1FTUxOT112u/ViyZMnyyDuRTd3GAFBeXo5HHlmIuXNvw8gRI+LuuNrPcZpS/X7i5OQ3k8tOmzYVkyZNivQ1Sx4AXnzxJRBCotrUXk6iY6kSjyyPTHei181+DtW/pKQYBx88En4//bA9zUc3JnjuuaX46KP/4LTTTsGIESP2oP2iz/upZSROdHOG1EnXNdx//0MQBBFXXHEFcnKyY75bTKxTomN7mvZemQDQ1NQCRVHw/PPLMHfePHPNMQfXX/87rF79edw5NDnRwYmsszk72ThWVRUNDQ0oKMhHYWEhnnjiT5gzZw5mzrwGs2bdgGXLlmHw4P1RVlaWoO34f/+nyfMk3jIBjyji888/x6uvvooJEyaYjmKy62ivK09yKp86seByqn4Oop9K2dm1axeeffbPqKgox9Spl8PnS0sq2xuJrltHRwd0XUdjYyNuuOFGfPLJJ6ivr0dNTS3efPNN/O53N+Ojj/5tL6LXEl237dvp9piNjTvx6aerMHz4cFx99UxkZWXj9dffwM03z8GGDT3xKlnPYO9j7777Hl577XXMmHEVxo0b12c3E0k11hYvXoIzzzwL06dfiS+++AKzZl0XeZrQF4iuW1ZWFgoKCpCeHrvTVlNTE5YseRSiKOKEE37NtSNZb8DebiUlJTjttFNRUVEOmLtUpXpNprfQ2dmJpqZmeL3ehJtRlJQUIy+P/Zpwb6a4uBhnnHEGiooK6VM4I/F462vk5ubG7AzoMe/cvvHGm3jttdcwbtw4nHbaqVFn9E3a2lpx8y034/TTf4P77nsAZWXlWLDgXseBQHsLhBA8+ugfsH79esy4agYGDBjYpzdXsqiursYPP2xFQ0MDPv30M/Tr1w9XXz0DpaWlePPNlZgz5xasWrXKflqvp62tDaFQCKFQEA899DCef34Z6urq0dTUhFWrPsGDDy7E3XffG9l5si8TliQsfe55hEIhzJhxJfdnPb2VHneqvF4v1yOznJzshO++wlzMbtmyBWed9RsMHz486YLw54anXgCQnZMVqVs4HEZaWhrefvsd5OXl4o9/fAIPP7wQjz22BHfffRcCgU48+OBD2Lnzl92Rh3dnxfz8/MgkaxgGRo8ejXPOORuLFz+CWbNm4fLLp2Dx4kdw3XXXYvv2KjzwwEJz8ffLwXO3AeYCwtrydevWH3H//Q9g7NixmD79CnNB2Dv6oQVvf8zI8Ccda3QbYQ9ycnJBCMGXX36JTZs228V+duyOUTLy8/OT1g0AWlpacNdd9+LTT1dh2rRpOPnkk+wiPztOxlp03XjvnPU2JCmMYDBo6h6vv9/vR1qa72d/F35vEt0uvWW+2tuIoog0vx8ffvgvPPTQQng8Xtxww+yEW6r3NXRdh6LSLc2zs3NQV1eHf//7Y4RCYbton2DVqs/w1FNP47zzzsXpp58a2R67rxMMhnDooWNxzjlnY+HCBzBz5kxcdtllWLjwAdx66y2oqanFwoWPoKOjw35qr6arqwuapqOurh5ffPEVZs+ejfvvvx+LFj2MJ554HIMG7YeXXvoLVq58y35qn2Pbth/x6apPMWHChMir+n2ZHo1TBQA7dtTh88+/gKbR1/WSoWk6du3ajRNOOA6HHNL9rZGiKDj77HOxfft2PP30Uzj++OOg6zpUVWPGekAPxqnSNA2hUBirVn2G9va2lAtaXdMRCARw4JAhCAS6cOWVM1BcXIwVK5Zj1KhRETlFUXDPPffij398EkuXPocLLvhtTDl2eipOlSTJaGraidWrvzRf8UjcRQRBQHt7J7KyMnDYYWMxaNB+2LmzCT6fDwMHDoiR3b27FdOmTcfXX6/FypX/wGGHHRqTb8dJLBreOFUwt0Jft24dampqmPK1tfUYMeIgHH74oVi06FG88847+Pvf/4bRo+nrZFVV1TjiiKNw8skn409/egL5+ew7LKQH41S1tOzCRx99ZC5UE7cZzDFRV9eIX//6WIwbd3hMXn19PWRZgSzL+Oc//4knnngShx02FosXL8LgwfvHyNohPRSnyjAMbNy4GevXr2fGNZEkGXJYwulnnh7XB2tqarBgwe+xYsUbmDnzSsyZMwdFRYVc46en4lRpGn1q/dVXayBJ4aR9UhAEtLd1gAA48sjDceih8ePn97+/H48++jiuv34W7rnnLqiqxhVP6ueOU1VXV4cZM67GN99swJYtG5GTk4P1677D/vsPRF5+Llpb2zB58iVobm7B2rVfxZwLh7ahN8Sp+nbDJrz9z7fw4IMP4fXXV6R05PtCnKponn32OSxd+jxaWlpwxx234+KLL0q4NugrcaosWlp2YdPGLRg4qD9++GErnn32WXz55VdYsOAeTJ16ecw47Q1xqlRVgygmjlPV0tKMmTOvhSzLeOGFZRAEuilMfX0tfvWrCZg79zbMnXur/bQ+EacqGAyhubkJHo8HAwcORGNjM4qLC+HzeREIBHD55VdgzZo1WLr0zzjxxBNt5/beOFVbt/6IKVMuR3V1DebMuQkzZsyEoqgoKqI31d577z1Mnz4Dp556Kp566o8xNx1JL49TZed3v7sJr7yyHPff/3tMnz4t7lpE0xfiVPW4U7V69ee49da5CASCKQebYRgIBAK4/vrZmDXr2sjxr7/+GueddwEOO+wwvPji88jJyekVTpVhEDQ17cTs2ddj69Zt8PmSN7JhGNBUDUcdfSTOO+8cTJp0CY4//ngsX/5y3B34FStew9VXX4sZM67Cgw/eH5Nnp6ecKlXV8N///hd33EEXZqmumxV0cNasazF9+jR7dgzXXjsLr776GpYsWYQpUy61Z8fgZOHk1Km6994F+PDDfyWcgKKRJAmDBw/GUUcdgeeffwGXXjoZ06ZNg6ZpEEUPtm/fhosvvgS/+tXRmD9/HgYM6I/ycvoqVjJ60qn6/vsfcMkll4EQkvJaGIaBrq4Apk+firlzb7NnR+jo6MD06TPw6aefYtGihzFlymV2kRh6yqkCgJdeehkLFz6EjIzU103TNKiqiscffxQnnnhC5PiqVZ/hkUcWYfXqzzFt2hWYM+cmlJSURIJBs+gpp4oQYPXq1bjrrnuwe/fulH2STu46pk69DDfffLM9u884VZ2dnZg9+3p88MG/8OOP3yM7OzvGqdq2bTsuv/wKhEIh16lKQm9wqqyYTgUFBbj11jk4++yzkJmZ+Df6mlPV1taB9rYO7D94IAzDwEcf/RtXXjkD/fv3xwcfvBuzqU9vdqokScbDDz+MP//5edxxx+34zW/OQFVVDdLT09HSshOXXDIF06dPw3XXXYuMDH/kGx30EafKTm1tPcrKSiLrnHnzbscLL7yIefNuw/XXz46R7c1OVVNTE84//0Ls3t2Kl19+CUOHHoT29nZUVtKg9uFwGIcffiQGDhyIF15YGtNufcmpampqwllnnQNdJ3jllb9gyJAhdpEYXKcKQH19A9avXw/d3N0uGZIkoaV5N0448TgMGzYscvyRRxZhyZLHcMMNsyMLwN7gVOm6jlAohDVr1qCjozPOmEUjSRK6OoMYPmIYvF4PzjzzbBx77ES89NILkY9iLVaufAtXXTUTkydfjMceWxKTZ6ennCpZltHc3IxvvvkGhpF6gb5r125kZ2Vh9JjRyM3Nxe7drRg8eL+E/WP27OvxyiuvYtGihzF16hR7dgxOFk68ThUhBOGwhI0bv0NjIztA6vbtNTjooKFYuXIlnnrqTzjkkDHw+zNgGDoA+jHp7t27kZaWhoyMDIwffwyefvpJezEx9KRTtWvXbqxevZrpVCmKgh21DTjhxGPRr18/NDe3oLAwH2Vl8Q7hM888i3nzbsf8+XMxZ078Qj6annKqCCHYtGkLfvjhe2Zf7+oKQJZknHb6KREH9/XX38BDDz2M5uYWzJx5FWbOvApFRUWOHCUnsk6cKk3T0dTUhO+++y6yc18iBEFAc/MuCACOPGpc5IP5aPqKU2UYBubPvwNLly5FVdW2OKfqvffex6xZ16N//0p88snHMefCoW1wnSrK3nSqdF3HkiWPY9GiRRh58Ajccft8jB8/HmlpyeeW3u5UqaqGmppqaJqGwYMPQCgURtPOZgw76EDA/HZn6tTp2LJlCzZsWIfS0tLIub3BqbJubtrHWmtrO8488zdYs2YNRowYifR0HxRFhSAIMAz6dlB2dhYyM7Pw618fh0WLHomc2xecqqamZrS27saAAQOQnZ0d51TdccedWLp0WZ9zqjRNw1lnnYPa2h1YvvxvGDhwELq6uiJOFQCMHXsYSkvL8Pzzz0V2w0Yfc6r++c93cN11szFx4kQsW/YcU4++4FTBHriKha7rJBQK2Q8nxDAMIkmy/XBCQqEw2foDDXhroaoqmTz5UjJo0GDy8cefRI5rZhAwHmjAPZnoumHPikNRVO5yFUUlsqzYDyckHJJIfV0jIYSQuro6MnHi8eSQQ8aS1tZWuyh57rmlJDMzlzz99DP2rDhkWSGqqtoPJ0RVaRA7HqwAbzzU1+8kknnNnnzyKTJmzGHk5Zf/ZhcjoVCYXHTRJNKv3wDyzTcb7NlxBAJBomk00C4LSZKIYbDb1zAMEgzy9V1CCFm//jtiGIT84x//IDNnXkOuvfY6MnPm1WTmzGvIzJnXkIsvvoRUVPQnY8YcSiZPvpQsWfKovYg4DMMggUDQfjgpnZ0B+6Gk8Lavoqjk2w2bCSGE/Pe/n5Bf//oEcvfd99rFCCGE3HXXPaSgoJgsWfKYPSsOwzC4x4SmadxtoZmBjXlob+8kOxubI/+//fbbZNSoMWTUqNHkhRdeJO3t7ZE8VXUy3mnwbB5oMFC+6yBJMne71e2oJw0NO+2HIyxYcB8pKCiJtKWi8NmGUCjMrW8oFOYuNxymQRoTsWDB70lOTj5ZufItQggh69Z+S9rbOgghhCxb9iLJyyskjzyy2HYWxYltCAZpMHcerOC0LHRdJ6qauF6J2PDNRnL//Q+S7Ow88sEHH9qzY+js7LIfSoim6dy2n5jXjAfDMJg6LFz4CCkpKSennXYm+fzzL+3ZCdF1frunm0GmedA0jbstqM1JPIaDwRC5+eY55MgjjyZbt/5IAoEQ2bJ5ayR/27bt5LDDjiCDBg0mu3fvjjlXVfl1UBSFy+boukHCYb55jZi2LNFYCwQC5KGHHibXXTebXHPNtWTmzGvIpZdeTi6/fBq54IKLSHl5JZk48Thy1VUzyJNPPh1zrqbpjnSgAbHZ44eYdoTnmmlm8N1kKixd+jw56qhjyB//+CQhhJCamrqIPVVVlVx66RQyaNBg8u9/f2Q7k5BAgM82qKrKbaOJWTfea9bVFUwqe+21s0hl5UCyfPmrRJIUUlfXEMmrqqom++13IDnvvPNJV1fsGsEwDO65KhyWuO2IkzUv9RPYOvz+9/eT8vJKrvUuMcfP3taBmNeBpy/wsBfcstSQFDuNRWMYRpxcc3MzGht3Ijc3N7Itcl+E3tmkqbS0BBMnjse2bduwdOmyGLmWll1YvvxVFBUVYcKECTF5vRXDMKCbuwgVFBSgqmo7li17EW1tbTFy77zzDlav/hKHHnoohg8/KCavt6LrBIZh4KSTTsS9996Nu+++CwsW3IsFC+7BggX3YM6cm6BpGoYMGYoFC+7BFVdMtRfRKzEMAwahu64NHrw/tm7dhldfXYFvv/0uRm7Tpo14882VKCsrw/jxv4rJ+7nhMCGArT82Nu7EQw89DEIMPPjgA7j88ikxOwt5vV7mHeOfBvsOZTR2u5cMwyAw9Pjd8iwEB9u+/tIce+yxKC0txTPP/BmSJCEzMxPZOTloa2vDP/7xJggBzj33XPtpfZa+0i4s/vrXl/HEE3/C8ccfj8cffxRHHjHOLtInSU9PQ0VFP3zxxZd4+umnAXPDFIsVK1bgxx+34ayzfhMXz683kMyEZGZm4qqrpuPOO2/HPffcjQUL7sG8ufNw15134oYbZkOSJBx77LG4777fY/LkSfbTez3FxSXYunUb/va3V9DQUI+cnJzIE6V//esjrFr1fxg8eDAOOyz22+G+wPnn/xaKomD58uWoqalGbk73jqjLlr2Arq4uHHXUkcjO5nuTpbehKCqqqqrg8Xhw6KFj7dl9Fq7X/+iON1TMMIj5SI29GCGEQJZV8xWQVP6bQD84bNqFwQcMAiEGPB4f/ve//8OVV85EeXkZ/vOfj6DrdNc4+ljaev0vtfrOXv/TzUfzacxyVVU3H4WmflxJ6xZGR3sHSsuKkZaWho0bN+Lmm2/BDz/8gHPPPRdnnnkGdu/ejZdffhlffvkVbrjhetx4443weFLrqyj0PWrWI3SY10zTdKSnsx6bCgiHZfh8Ho5yRTQ0NCIvLxdZWZno7OzEbbfNxcqVb2HixAm44IILMHDgALz++hv46KN/QxAEPPbYo5gwYQIMI9UOgPSa+f1pjH5DkWUFaWk+5qKFvv6nwO9PY/YFQMR3323CQQcNQVpaGkRRjJm4PB4RW7ZsweGHH4GTTz4FzzzzJAoLi6DrqTdkoa//ycjKYj+SBoBAIIzsbPYrcgAgy6p5Hew5sUiSiqqqGgwfPgSCIOLpp5/BokWLMGBAf0yaNAmHHz4On3++Gq+//jpqampx5ZVX4tZb5zCvmbPX/+ijefr6X+qxpusGJEk1r1lq2fb2TkiSjH79yjFr1mz85S8vo6ysFEcddSSysrIiDhfM1xkKCwsxa9Z1GDx4/4h9SYSqatA0w7R7qXVQFFoO2zbQvkuIFRg7ebmCIKJuRwNEUURFZTlgOsUWaWnpuP32O8xXpa/HggX3QlXVSLDS5NDx7vGIHPpSWa/Xw1EuIElKUttvGAQ33XQzVqx4DSeddCKOPPJXGDCgH/7yl5fwv/99gdmzr8Ott96S4JrQOFfp6Xy2IRSSOce7gEAghMxMP1PW2et/Ir7f8gNee30FHnjgAbzxxus444wzoWmJwzF0dYWRk8Me7/T1P14d6KtOWVnscgkhCAalBDZHQGdnJ0477Qxs3LgRY8aMwYgRwyHLCrxeb8TmhMMSzjzzTFxwwflm23WvGyRJ5hrv9PU/BdnZbBvp5DpQm6MhMzN+rAmCB7W1NZgz51Z8/vlqnHzyyTjxhJNRWlaEN974Bz788CMMHrw/Fi16BKNGjYqZv5y9/qdB1wlzjUFf/1ORns6e15DimyrAOkbLEEUBjQ1N8Pv9qKrZjqOPOgbz58/DPffcBV3XY2wgXWfpSE/3cumgKBo8HpFjXArm639e5jWz1i3J5rVQKIw777wLr732OsaMGYMzzjgDo0cfgg8++ADvvvsugsEglixZjFNOOcV8bd9CQDAoISODbRvopxMGx9qJYq0xEulrJxiUkJnpTyirKCruvPMuvP76GzjooGGYdNEkDNpvIFaufAsrV76Fgw4ahmeeeRqVlZUgUfMBff1PRUYG+3VFSaLj1+tltZmTNS/bT/B4PKit3YErrrgSP/64Ff/3f5+ZoUGSjwlEXkHkm1vp638a93VIS+PbqTzZd6MWXE5V9BbYhBiQJL73FKlTRRe8LGUDgRB2NjbhwCGDARAIgojVq1fj/vsfwiGHHIwHHrg/0nHoe7Za3CYPibCcKh7jpGl04UQNXmo0M+J6qg0qLIKBMNra2lHRrwRerw+GYWDDhg1YsuQxVFVVmYswA1lZ2Zg4cTxmz56N4uJimxGIR1XpN1UeD7uDWe8m87wXHA7LSEvzcJQroK6uAfn5ecjOzoTH40FVVTWWLHkUGzZsQCgUhmgG+x0woD8mT56MM888HaLoYQ4e3ved4fibKhkZGTzvOwtYv/5bjBo1PMFERe88V1VVYerU6TjyyCNwyy1zUFxczKwXdaokrgUOAHR1hZCTk3oQWyiKAp+PbcwlScHWrdsxatRBEAQRXV1deOWV5Xj11RXmluo0cnhOTg7OOedsnHXWWejfv1+MQ5IIQgg0TeMaE06+qdJ1PcqpSk1bWweksISy8lJMmTIVDQ0N8Pm85lPHWP11XUNZWRkeeOA+DBkyNGZisqNpKlTVcqpS4+S9b+pUEY4nZgJ21NZDFEVU9q+I62ei6MHTTz+Dv/71ZUyefDFmzpwBXdeY76jDHO9er8jVbt03XNjlyjL9poqO91g8Hi+qqqqwePFirF//jbmRkQd+fzpOOulE3HDD9cjPz4eRII6VE9sQCtGFkyCwZbu6gsjOzmDKWm9VJLIL8QjY+N1mrP78f3j++eexePEiHHPMrxLWCw6+oaQ6GBw2muLsm6pQQh02bPgWc+fOh6bRb3JUVYVhUB2sZUQ4HMbll1+Gq6++OqaPOrF71KmSEzh28RgG/aaKpy2ozbGcKjsCAIItW7ZgyZLHsXnzZkgS/X4wLS0Nw4YNxcyZMzB27Bh4PJ5IfWGWC3OhyELTVGia5VQlhxD6TRXPvIYU31TFQ+2I35+O3a0tuPLKmZgyZQpmzrwypk4w28G6Scajg6rSb6p4xqUk0W+qWPpSR09POq95PF7U1tbiqaeexv/+txqBQJepgxelpcW44oqpOP300017FVu/bqcqtb66Tr+pSvXNYDThML2Rw3PNAoEwsrL8CWVFUURj404sXfo8PvzwI4TDIQiCAJ/PhwMO2B833ngjxo4dGzevUacquUMTjSzL8Hrjv3tNhJM1LyH0pql9zwALa/10772/R0vLLvztb39Fbi77CbCq0pvWPDrQtb/KMbdacxXbTwFHCBQupyoa6lTxblRBG5c6NKmVDQSCaKjfiaHDDogc6+joQE1NLfLycjFo0KDIccOgG1XwOFW0cZ04VXwbVTjpYMFACK2tbehXWRYzCdbW1qKmphbr1q1FRkYmfvWro1FeXoHCwgKmruhRp0pCWpqXq9wdOxpQUJAX8wi6sXEnmpqasGbN1+joaMfYsWOx//77oby8gssZh7kIyMjwc3VyRaFOlXU3Ljl0YqcfKrNkga+/3oAxY0YmNTiSJGHz5i3Iy8tFeXkFl4MAEPOuMXuBAweLLJhOFY/hlyQZ33//I0aPHhk5FgyGsGNHLdatW4e6ugYccMBgjBw5EpWVlfD5fFz9BqBPqnjGhGHokCQ+p8owdITDCteCrLW1HVJYQkW/MmzevMUWoDnW1KmqBo/Hg+HDD2LaM+pU8W1U0TNOFVBbUwdRFNF/QPdHydE0NjZi584mlJWVoqSkBILAt4kN3XyCbrPMovsOM7vcVE6VRUNDI+rr67HyrXeQm5ONk046AYMGDUJhYYFdNIIT2xAKUQeMNf/A3CQiOzuTKUsIfVKVzC7Y+XbDJhQW5aOpaScOPPBA5OYmD2zMu1FFTzlVADFtTrwObW1tqK3dAYCAENoXNFVFbl5OZEFuGAbKy8vRr19sH6VOFZ/dI8Qwn5axZZ04VdTmJN6oIpr6+nps2bIVH3/8McrKSjFu3OHo378/+vevtIsCP8mpYm9UYTlV1O6y5ypNo0+qUo01i9qaeqSlpyE/PwebNm0226t7AwQL6lTRjSp4dOhJp4o1r7W0tGDnziZ89NFHkGUFY8eOwQEHHID99huU1FYFg2FkZrJtg3OnSjIdGvY1CwRC5s2D5LJtbW3YsmUrPvvsM/h8HowZMxaDB++HgQMH2kVNrJvHqfs5Ik4Vzw10Z2tellMFsw9UVVVjR20djjnmaGRxvMboxKni0cHCiVPFwrFTRR+p8TlVxNGTqninKhl6L9j9z8lOKJZTVdGvLOEAD4VCEEURfr8fhkHv9vOU21O7/zlZOCVyqiwkSYKu68jKonmyTF8HYvUFmIsA3h2+nD2poltos2RhOlWjR49kvqIA01FJT09PeDctGieLCzh0qmTZmoRTk8ipslBVxXztJD3S/oFAMGH72iGOXv9z+qSK36kKh8Lm0xw2mqZzta+z3f80AHy2YW86VdHIsgJRFLl26fu5d/9LxNdfb8B+g/qjqLjQnhWHE9vQW3b/G3VI/G6NieB1quhrb7/M7n8WiqJCkRVkc9in3r77n52uriBqa3Zg/8EDma/7OHv97+fd/S8RtTX18KX5UFHRvYNhIujrf7179z87NTV1KCzMR3Z2FlNn3ifev8Tuf3a6uoJob29HUVEBsz+SPrT7HwDsqK1HgdlmLJzcsHSiw97c/W/PS3DZYzIzMyPetOWJ7wv4/f6IQwWzk7v0bny+NGRlZUWMrMN7Ln0K+mQ6+XdULj8faT4f1x3Fvsq+aPv25fFDb676mQtYl96F1+tFZmYm00npa9C3UHz7ZH/c12yI61S5uLj8fwnh3JnUOT1R5r4NvSO9b02u+zo9N35+eYj5fWhfYR9tBsfsy3bEeiK6r7Gv2RDXqXJxcXFxcXFxcXFxcdkDXKfKxcXFxcXFxcXFxcVlD3CdKhcXFxcXFxeXPso+9gmRi0ufxXWqXFxcXFxcXFxcXFxc9gDXqXJxcXHZq/TQbeN963teFxeXvYSjb/2dyLq4uDiCK06VLMuwdoSlAbVonCrWmTRujQKvN/X+74IABINB7NzZggMP3C/yW8mwdnjx+9OZOhiGAU2jAUlZ22xqmgbD0JGezi7XCoSWluZLKSsIQCgYQlt7B8rKSlIGWRMEGl9GEARmuXAY/NcwuiOTp0IQaHwpGmU7dbmiCNTX7URefg6ysrKY+sqyBJ+PHcFcEGjsrvR0vgCfNE4VO8A0jd8gwe9nx6kSRWDDhk0YPnwYV+wP3gDEVIcwMjL4tkYNBoMx29KnQlEUrn6uyDK2bavGyIOHMccaIQThcIirfa0ds3gC8+m6DkWhcapY5fLKCgLQ1tYOSZLRr18Zs240ECeNPcUqV1FU6DpbFma5hLADFFrjnZhxqlKVK4oCduyohyiIqOxfzqybotA4Vaz4I9Z4F0UapyqVDpasx8OOYUdlZdOOpB4/oijgu2+3YMCACuTm5TJ14LUNggCEw2EzfhxbNhAImNsxp5algXf5gv8KArB58w8YOvRApr4AEAwGkJXFjhHlNPhvOBzisjmEEIRCdLyzCIdCUBQV+QV5KdsMUXYvMzOTKWsYBiRJQlYWjyx/8F9d16GqKnMMiyLQ1taBXbtaMWTI/syxpnMG/7XsiGHQOFWpdCBm8F+e+ItwEKeK2pEG+HxelJeXpKwbXTup8Pl4dVAhiuzgv5Yd8Xr5g//yzGswg4kXFxchPT0t5fWldoTaBpa+ToP/yrKEtDS+OFWhUAgZGanjVAkCjb8oyzLKy8vs2Qmgcap4QlT8ksF/YdatunoHSkoKudYYvHMrIjFqaZwqVrlOgv/SwM7J4XKqrAB7+AlOlbXQS6UsndCCaGxowpChg5nlOnWqrICkqTouIkHeaPBfVrlOnKpgIIS2tnaUV5Sm7LxCDzpVlnFiGQZB6A7+yypXEIC6ukbk5+ciO5s9ICRJQloan1NlBfhkycJh8F9ep0oQgHXrvsOoUcOZhh+mDunpqQcbIk4KXVzwwBt4F5FYFqnbF6auW3/YjlGHDGe2mbXI4mnfnnSqZJkG/00la00+UlhCv8rylLLoQaeKN+q7IACSpABgO1WCIGBHLQ3+W9m/IqUsHDpV0cF/U5VryXq9e9epEgQBG77ZiEGD+iMvn+1U8doGwVw40UCcbFkr+C9L1qlT9d13WzB8+FCmvgB17LKz975TFQqFuGwOIQTBIB3vLEKhEBRZRUEhn1NlBf9lyRqGgXCYBv9lyzpzqhSFBv9NVa4gUKeqpXkXhg47IKUs+phTRe0IDf5bXl6SUge6dlK5dVBVGvyX1c8tO+LzOXGq+IL/1tU1oLS0mMupCgb5AoM7daokSTJv5LAVDgZDyMxkO1W7d7dDliVUVJTbsxPQt5yqqu01KCkt5lpj9AanihWwmsupisYwup0qFoQQyDINWsZSNhAIoqF+J4YOO8CeFQe940SdKhb0wlKnShSTd1yYEaMtp4qFk+jSwUAIra1tqOhXxlyMRDtVLBSFOlWsMmHGONB1nSsquOVU8ZS7Y0cDCgryuCbhcFhCejrbqYJpbPx+P1d0didOVTgsISOD7VQBwNdfb8Do0SOZgwhmRG5qSO05sVAnhS4ueOjqCiInh31tYfYdnvaVJBnff/8jRo8eac+Kw8kiixASuYHBwnKUMjPZdkTXdUgSdapYtLa2IxwKo7J/hT0rDlXtdqpYOJFVFOpU8VyH6CdVLGprqFPVf0A/e1YcskydKp+PPYajnSoWllPFU64kyebNGfb4Wb/uO+y//0Dk5efas+JwYhssp4rH5lhOFUvWMAwYBuGyCwDw7YZNGHnwQcxyYeqQk8N2qnSdOlU8NhrmNeOxOYQQBAJBLh2CwRAUWUFBYb49Kw7D6HaqWBiGgVCIOlUsdPOGL09bUJtDnSoWbW0daG5qwbCDDrRnxWHFD+LRQVVV6Dp1qlJhGNSpSk9nz2sw1yP0Bitbh9oa6lRVVJTas2LQdepU8eqgKNSp4hmXllPFuma6rkPT6M1gDhVQW1uPsrISrnkwGAwjI4NtG+jNdoOrTJh1ozdy2AoHAiFkZaV2qgBg9+42SJKEykr2vEYIdap45ip648vDZUecrHmpn0AdGhbbt1WjtKyEa42hqtSp2ts6SBJ924nVF3jY8xJcXFxcXKJIPUG6uLi47E0Ya3IXF5efCdepcnFxcXFxcXFxcXFx2QNcp8rFxcXFxcXFpY/i7CMOFxeXnsJ1qlxcXFxcXFxcXFxcXPYA16lycXFxcXFxcXFxcXHZA1ynysXFxcXFxcWlj+JuVOHi0jtwnSoXFxcXFxcXFxcXF5c9wHWqXFxcXFxcXFxcXFxc9gDPPffcc4/9oB3DMKDrBIZBoOs0wKfP540cS5VotHEBhNCAdokSzGCVXV0BFBUVQtdpcMVkiebr8HjYOui6AV3XIIoiDCNWB0Jik67rMAwCj8cTKdcu010uW5aYW/IosoJwSEJGJg0sGa2zXZZGrabR2ROVa52HSDA2ABDi5KJlaTJgGAYEQYw5bpen5apmrB1abiI5wyAQBKCjoxPp6X74fL64trCfQwMUUj/ermt0QlQgQavf2GWif0dVNQiCmLCP2c9TVRWiSMu150WXLQhAQ0MTSoqLE15f++9omg6PJ/ba2s+xzlNVDV6vlylnmAEgvV5fQjn7+Zpm9fP4vOikaRp2725FWVlJ0r4Yfb6qKvD50lL2x24ddIiiGPeb9mQYhmlHYvtNorJ13YCmxcvaz4EZ7FVTNeTkZseVZy+X6qDH2LJEstZYMwwabNWuQ/w5NEiiKHaPYbscLZf2BUJIjC2zyxkGgSAIaG/vAAQBubm5cTbSroNlRwQh8Rju1gGQZQ2iiIi+ieQsWSvguCAIcXLRyaoblUusg3VMFAU0NjYhNy8Xfn96yuvbrUO3bUiUumWVOFm7rpasLCvweGhQSXt+dNk08C4x57X437br0NzUgsKioqT6Rv+OJMWO92SJkG4d7HmJyqb2tNvm2OsXXU9FUZk6EEIgywp0XYff749rM7usYVDb6/PRcu3XLVoHK+gsa41BZenf0f3cXl50uZqmR2yvPd86VxCoHQkGQygqLmTqYBjstqD5dH43DCMy3pPpQKLsebJ+EytLAxAnm7OtRO1IJzyigOycLEbdDOi6Zc+T62CVret6JIitvT7RcoisMUTmNdM0a91Cdzi059tTZ0cXMjIz4PF4kspYOiSyDfZEIutCI+HcapclJPV6xC5Px1pqHWDOa6qqITs7K66MREmWtcg1sKdoOU2juqZqB+scGmibxK0h7XLR10EUE+tgJQBoa2tHZmZGzBojWaL9nABIroOVrLV/ojnbnnjbzDDnq1RwPakihE6S0SnRsUSJR667IRCXlyxZ59iPJ0q8stEdwp5nT7yyEbmo/+0ydlmWnF2WJ/HK88rBqhHndQBHnaLleMt0kpyU6aQvUnknZccfS5Z6QpYQAhBrG974fHvqibpZck7kWbKWDE3suvHqEC3Hko2WY8nG6hufb0+8ck5kndQtWlYQ4vPtsqzyumXpX+A4x1m5PSNryduPJUq0XHZfdJp6Sl8nspYOTuXtxxMlXlleOSfyJOaGG7vteMq05HjleWR+coqUnbpuTnXgleeVi5Zn6WpPrPJ/mg58aW/LWrryyFry9mOJkiA4L3dvy1K57vFmz0+UeOUsWR55HpnulBoup0oURXg8VhLg8QgQRSHqWPLEIyeKtDzrDqg9P1ESRb6yqazHVofoMuwptm72/Pgykst2lydCMOXsOieStf5OJJPodxPJRctG56U6xyqXR87jESEIAgTBOie1PvRYdP1SJas/JC4r+jgr2c9LVWZ0fqRuScqK/x32detO8bJ2mejjyeR4jtvzrCQkGGvJyqDHUvdH67g9n51+mg7xeTRfjKpb/G/FlmuVl6xulmy3XKxssnMEgdobu2x8uYnrZpfzmP1RFEWIQny72c9J9BuJZOgxIWpcRtczXgfr+jpNyfTsrhsgmvVj1y3eNiRK3bKpdbCXm8xGJS4/cZ5dB8v2J0t2Pez5iVK3zvF58XLx5drr51QH63e7r1u8TOLfYrdJ9P/2suzn0PVIvGzsb9pT6ja2xpo1t9l/N9Xv2PNj5aJ/lzXWEh9PlJLJ2o+L5vgSRAFCkrHGU6492eWSndN9nN1vLfnu8+LXcPbfEiNt1v0byRO/DtHJnp9YNvV1jZVPPB5i5SybF6+zXT9WWYnPiS/Xnuzn2PPj5XivQfRczXtO/LFkyUm5vIkFWwL0FZKfI/3cv/ezJiQ41tfTvtpWghDZTSn++L6RaN320fpB2OfqBuuF3Ejbxcv8nAl70Z7t03Zf2Mft5F7sB70nWe3Vd/qltThlJWpHov5OINOXE/Yxu9+TaW/a8D1LfavNWHA5VS4uLi4uLi4uLi4uLi6JcZ0qFxcXF5dfGPa76i4uLomJfHbk4uLyi+I6VS4uLi4uvzDs1ypcXFxcXFx6M65T5eLi4uLi4uLi4uLisge4TpWLi4uLi4uLSx+F4/t5FxeXnwHHThXvDhiw7SzDgkfGgrdM/AQdeOTwk2T56ui8XFeWV9aS45G14JWl5dqPxtNTvw8HsrxycKivK0vpOVn+tnNW7i8vCwf90km5PSHLKxcNr7wTOV5Z9FC5+7osL07L5ZG15Hhk4aBcANx2pGd14JPt1sGekxjeuuEn6MCLE3leWV459EFZmPI8OCm3p2RZCIRGvUqJpulmsEcabViWFWRkpNvF4iAEkGUFaWk+iIwoxIFAGDsbduKAofsz366nEdc1+P1p9qw4DINAUTRTB3tuLKqqmxHi2eWqKo0unZbmtWfFEQxIaGtrQ3lFKbxejz07BllWIQgCV7mKokEUBWaZAKBpNDp6errPnhVHOCzD5/MyyyUA6ut2Ij8/D9nZGfbsOMJhGenpacy+AADBoAS/Px0eD1uW9rE0puElhOqQkZHOlgWwft1GjBo1HF4vo+MAkCQF6el8OoRCErKy/PashHR1hZGTw762MPsOT/tKkoIfftiOUYccxBxrhADBYJirfQkBVFXj6ru6bkCWVWRmsu2IrhuQJBVZWWzZtrZOhEMSKipLmXVTVQ2apnPZMieyikKjvvNcB1lWQQhh2hwCoK62AaIool//cmbdZFmFKIrw+VKPYZjj0uPxcOkbDsvwer1c5UqSAp/Py4ztQQB8+81m7LffAOTkZTPr5sQ2hEIy/H4+m9PVFUJWVgZT1jAIDINw2QUA+O7b7zFi5FBmuTB1yMnJtB+OQ9cJCDGYNtoiGOSzOYQAgQCfDsGgBFWRkV+QZ8+KwzCAcJhPB8MgCIVkZGezZXXdACHgagtem0MAdLR3oaW5BQcOHczsj5pmAODTQVU16LrBHO+GASgK35wCcz1ixeNJBbUjjfCl+VBWXpyybrpOoKoqtw6KosHj8XCNS7rG8DGvma4b0DQdaWk+Lh127GhEaWkx1zwYDMrIyGDbBk3ToesGV5kw6+b3s9cYABAI0DGRSpYAaGvtgCTJ6Nev1J4dByGAJNF1DgtJUuD1erjsiJM1rxM/oWr7DpSUFnOtMVRVAyHY6zpIEp+fAgAeT+rf5nKqvt+yDYahAWYD65oGr9dn/pcaTTPg8YopBy8gQFFVBANBFBbmm9GNk2MQwNB1eL1epg5UXx4dAN0gIIbBVa5uEIDANGKpZAWoqgpJkpGVlQlRTCUvQNd1AJZxTCYHAAI0XTeDZrJqRo00IQbT6AICNE01g+2lLlcQBHR2BZCeno40H7s/aJoOj9fDbAdAgKqp8Hi8YKgAmH2MZZwtVE2Dz5t6UMCsW+POFpSWFDOdcfSQDjAnKh4DAgCabsDLbF86Ue3e3Y6ysiLmWAMARdW42hcANJ3AyzGpGgTQdQ0+DjtiEGpzfEwdBEiSDE3TkJOTxawbXRzrHLZMgG4YIFyyph0hhKMtrPFOTEOdvFxBENDR0QVBEJCbm82om1muIMDDHEB0vAuCh8/maFokoGJqTFmPhzmGBUFAU9Mu5OXlwu9PY9aN3zbQunm8Xi6bIysq0tLYsgQAMcBlFwABLS27UVxSyCwXAGRFQzrHeDcIVYRPB7oY8fnY5cKBzaEOgg6/38/oNzRX0/jGOzHL5rE5Tq4DXTew1y6CICAclhEKhVBUVMDoj+bcCoA53CN2hL3GIAB0Teda7MLUAQKYY8KyIx6PB9nZmSnrRq8X/7ym6wSCKDB16LYjHma7GQQgBs+6hdLZFURmRoZ53ZLXzbIjXg7boBt0wPPqoDloNzq3ph5rtD9K0DQd2dnsmx1woIOm6VztAHO+JARcTjPtv5rZz1MhoL29E5lZGVzjnc6t4FpjdOvALpd/bQoMHzHMfigGLqeqvb0zRilFoU8GeNC4Liz1rFtadmHAgEp7VhyEEGiazj1J8HYwXTdgGAZXubpOLamHw+DIkoLOzk4UFReaTlVydF0HiMBVLh0QNBo1C0IIDMOAx8O+DoqiwuulEcxZtLTsRk5ONvx+9t0ARVGRlsZ3t0eW6V06HjRVg5ejzeCw3O+3bMOQoYM5FpD8/RwOdbCerPGg6zpX+6qahuqqHRgyZH97VkIkid5544HXuSSEQFHoXVAWhBAosop0xt1dAOjqCkCWZBSXFNmz4iC6AVWnd0FZ6Dp90ssjaxiG+SSD3RaapoOAcDnZzU0tEAQRJaXsutG3C9h3rmGOS4/o4bI5iqLC5/VA4LANmkbvXPO8VrH1h+2orCxHZhZ70cD7ZBoAFFlBGkcfA+iTlIwM9tMRmH2Sp14AsO3Hahxw4H72wwlxooNhEC7bBHMO4hk/cKCDLClQVRXZOVn2rIQ4sXuSpDCf5sBsB0LAdR0IIVAVDWkcTxwCgSBad7dh4KD+9qw4rCUUT3+gT9Yspyo1ThxhYhCA89W35qZd8Po8KCwssGfF4WReM3QDIoe9AQBFVeH1eJntRgiBoRvwcNhSAGhu3oXCggJ4OZ6k8/ZH6kzwrZ1g1o06CGx4+3lXZwCyzDevwcFaq9u5Td0OAHVuDYNvzQsHOjTU70RhUQHXGsPJk2k40MHJWMvPT/1knsupsiPLMtLT2RcAAFRVNe8wpyYUCqO+vhFDhgy2Z8VBCDFfM2KXCwcXzMnCiTYu38IpHJLQ2tqKin7lTEdF0zQAvK/0OXOq9MjTvdTIMn1th6fc+vpGFBTkIzOT/eiW14jBwcQOB30MDh2EtWu/xZgxB3MZHCc6OKlbMBhGVhb72sLBBKioKrZs3opDDhlhz0pIKBTmal84uIFBCH00z9MWhBBIEt9j/Pb2ToRCIfTrV27PisPQdaiaztUndV2Hxi3LbxtUVQMB4ZqE63bUQxBFVFZW2LPiUFX6RInHqZJlBR4P3ysgTmyDqpp3gjkWet+s34jBgwchJzfbnhVHOCzB70/9yoyFk/EeDIaQxeHUwaFT9d23m3HwqOH2wwlxooNhGFztAMc2h0+HcFiCIivIy8+1ZyXEiQ6hkITMTLasU6dKllWuRWxHRxeadjZj6LAD7FlxOHOqdPPGLXu88y4IYfYFgfO7kLodDfT1v7ISe1YcTuY13pt6ACArCnxe9utWhBD6xI5j/QYAdXUNKCsr5Vrv8d6wpDfJ+BxhmHVL53zowNvP29o6IIXDqOCY1+BgraWqKjwevhvoTm4WwoEOVdtrUFZeyrXG0HXddKr2rg5OxhoL9pW0YXUwHuhCnk/eMAx6t4UDJzoYhmHqwC7babnOZOmTIha81wsOdaAOI5+sk3J56wXH5TrTl+feADGf1vHIIkqeB+sOCgsnZcKsGy/c18tc9PPgRF8nsk77ghNZXjuiOyyXV9ZaOPFgGAYM3nYzCHfdnOjrVJa3nzmxZb2l7/DIOrkG+Al148HJtYWDcp3qyi/b18rlt5FO51YeWatevDo4qxv9JpCFVS9eHRxdB87+axgGfWWST4Ue6Q+8bWbhZH7lbWPDMGBwyMHhGHZiR5zI8l5bONTXSbk9JcvCsVPl4uLi4uLi4uLi4uLi0s1Pev3PxcXFxcXFxcXFxcXFheI+qXJxcXFxcXFxcXFxcdkDXKfKxcXFxcXFxcXFxcVlD3CdKhcXFxcXFxcXFxcXlz3AdapcXFxcXFxcXFxcXFz2gP8HpYDaSLaPIXAAAAAASUVORK5CYII=[/img][br]Also ist [math]3\cdot\left(-2\right)=-6[/math]
Spätestens bei einer Multiplikation mit zwei negativen Zahlen (wie z.B. [math]\left(-3\right)\cdot\left(-2\right)[/math] versagt das Zahlenstrahlmodell aber: Man schließlich nicht -3 mal nach links gehen!). Auch die Division lässt sich nicht schön am Zahlenstrahlmodell behandeln.[br][br]Daher benötigt man also ein allgemeines Vorgehen, wie man jede Rechnung auch ohne den Zahlenstrahl berechnen kann.[br][br]Zum Glück sind die Regeln für die Multiplikation und Division mit verschiedenen Vorzeichen recht einfach. Schauen Sie sich dazu das folgende Video an:
Es gilt also die folgende 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Im Grunde genommen muss man also nach wie vor nur multiplizieren oder dividieren können.[br][br]Bevor wir diese allgemeine Berechnung mit den neu gelernten Regeln in den ganzen Zahlen [math]\mathbb{Z}[/math] anwenden können, müssen wir so ein allgemeines Verfahren erst einmal in den natürlichen Zahlen [math]\mathbb{N}[/math] aus der Grundschule wiederholen.[br][br]Wenn Sie in der Gruppe "Multiplikation" sind, machen Sie nun hier weiter: [url=https://www.geogebra.org/m/cvbnfs3u#material/vw6ay55v]schriftliche Multiplikation in N[/url].[br][br]Wenn Sie in der Gruppe "Division" sind, machen Sie nun hier weiter: [url=https://www.geogebra.org/m/cvbnfs3u#material/w9yzjzzz]schriftliche Division in N[/url].
Freiwillig: Warum ist "Minus mal Minus" eigentlich "Plus"?
Falls Sie noch eine Visualisierung [b][u]möchten[/u][/b], dass "Minus mal Minus Plus ergibt", dann [b]können[/b] Sie noch folgendes Video anschauen:

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