CAS: Aufgaben kommentieren und betexten

Latex-Kommentare im CAS
"\text\blue{ Comment }"[br][br]Texte im CAS werden unerwarteter Weise interpretiert [br][list=1][*]einmal als Latex[/*][*]einmal als Formel[br][/*][/list]*1 kann zur Kommentierung oder Betextung eingesetzt werden. Während unter 5.x die Eingabezeile nicht interpretiert wird und damit unauffällig ist, wird unter 6.x auch die Eingabezeile interpretiert und der Text erscheint quasi dopplet - Aufgabentext (1), (18), (24). Es bietet sich an die Latexte in Variablen unterzubringen (Latex21, Latex22, Latex23, Latex24) und zur Anzeige [br][i]Formulatext(Latex[sub]nn[/sub])[/i] [br]zu verwenden (7),(12),(16),(21).[br][br][size=150]Schülergerechtere Darstellung mathematischer Formeln/Terme/Objekte[/size][br][br]Vektoren, Geradengleichungen und ihre Darstellung:[br]Bisweilen treten Unwägbarkeiten bei der Latex-Gestaltung auf z.B: eine Geradengleichung[br][br][i]"g(t):\vec{x}=" (FormulaText(Vector((0,0,5)))) + "+ t "+ (FormulaText(Vector((-1,3,2))))[/i][br][math]g(t):\vec{x}=(0, 0, 5)+ t (-1, 3, 2)[/math][br][br]Darstellung der Vektoren als Punkte aber eine korrekte Vektor-Darstellung erhält man mit:[br][br][i]"g(t):\vec{x}="FormulaText(FormulaText(Vector((0,0,5)))) + "+ t "+FormulaText(FormulaText(Vector((-1,3,2))))[/i][br][math]g(t):\vec{x}=\left( \begin{align}0 \\ 0 \\ 5 \\ \end{align} \right)+ t \left( \begin{align}-1 \\ 3 \\ 2 \\ \end{align} \right)[/math][br][br]Matrixgleichung darstellen[br][br][i]FormulaText(A) + "\cdot " + ReplaceAll(FormulaText($29), ",", "+") + ("=" FormulaText(b))[/i][br][math]\left(\begin{array}{rrrrrr}1&3&-2&0&2&0\\2&6&-5&-2&4&-3\\2&6&0&8&4&18\\0&0&5&10&0&15\\ \end{array}\right)\cdot \left\{\left(\begin{array}{r}0\\0\\0\\0\\0\\\frac{1}{3}\\ \end{array}\right)+ \left(\begin{array}{r}4 \; t_1\\0\\2 \; t_1\\-t_1\\0\\0\\ \end{array}\right)+ \left(\begin{array}{r}2 \; t_2\\0\\0\\0\\-t_2\\0\\ \end{array}\right)+ \left(\begin{array}{r}3 \; t_3\\-t_3\\0\\0\\0\\0\\ \end{array}\right)\right\}=\left(\begin{array}{r}0\\-1\\6\\5\\ \end{array}\right)[/math][br][math]\nearrow[/math] [url=https://www.geogebra.org/m/qzqhs7bc]Lineares GS ℝ⁴×⁶ Kern + Lösungsraum[/url][br][br]Die Verkettung von mathematischen Termen muss immer wieder in die AlgebraView ausgelagert werden, weil im CAS die Texte nach 1. oder 2. interpretiert werden.[br][math]\nearrow[/math] [url=https://www.geogebra.org/m/nasq2fvb]Horner Schema (Polynomdivision)[/url][br][br][br]*2 siehe Beispiel Rechnende Texte (24)[br][br]Werden die Variablen nachträglich eingefügt müssen sie im "Construction [br]Protokol" vor die jeweilige Ausgabezeile im CAS verschoben werden:[br][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAqMAAAERCAYAAABPda6LAAAgAElEQVR4Xu2dCZwUxfXH3+KBIgoeqIjnLseq4BUBFyMLKB4IuiAY8EKMAV2QyyOioiJRYsTlkEMwCRBRURBQEaJEAyYsCgp/w+G6C6jxAKKoGIOIyPy7qqdnunv6qulja3p+k4+fsDPVVe/9Xs3Md15VvS4gooTyHx5QAApAASgABaAAFIACUCByBQpmzpwJGI1cdgwIBeKtQFlZGXewQYMG8XYU3kEBKAAFoEBWCuzcuTN1XcG3334LGM1KRlwEBaCAlQILFy4kwCjmBhSAAlAACjgpMGvWLMAopggUgALhKAAYDUdX9AoFoAAUiJMC5eXlNGbMGO4SMqNxiix8gQI+FXjjjTey6uHCCy9MXQcYzUpCXAQFoAAUyCsFAKN5FW44CwW8K8Bg9Nxzz/V+gdLy3XffJcCokGRoDAWgABTIewUAo3k/BSAAFLBWQIPROXPmUMuWLfl/Vo/169cT+693796AUUwmKAAFoAAUEFYAMCosGS6AAvmhgAajDDQXLVpEXbt2zQBS82vIjObH3ICXUAAKQIEgFYgERhOfraLxjz9Hyz/6iNueSJxCHa6/nYb1PD5IXzz1lUh8RqvHP04rzq+gYW0KPF3jp5F5vERC0aLsYVpGHejehUOpTUE4NmjjLDf1z7W/Nxjfo9ZSi0NUGvqJexyu1S/TWwGp1XOA0ThEHj5AASgABaJVwBZGV69eTUqpJ0drGjZsSK1bt3Zsk/hsHg0f+DR9ZAFdidJ76KVhbSL1eNW4K+mR5QVUes+CSGA06vHMwGaGUe3HwPWTK6jn8f5AuLZ9CxvoI52YEg5m3jOqh09mrlW2FDAqYSBhEhSAAlBAcgVsYfSrr76iadOmkb4Qqd4XVsB6wIABdNRRR9m6yDJnLw4fSLM/KqBTrruHbr+qNR2vQOln84bRoNkf8QypHoo+mzeOHn96GQdXNXvah3olr9H6enpLB7r+XqIVDyfbnVJK996uZBiTYJVYpcDvcwr8KmNy8Eq+3rrJ5ylbUsCmwPDCocfx55/eUkgdOpxI/162jLYoWct7Jl1Fn1bcpjyfzmCmMnKF19Pkiqu4L9wuJdM6e3ky6+s6HllmRoPwXR8IO1tXjx/IYfyU6yaR4oKl7/dOVvW0s6kJWWup/bBw8kWFYWvNtBiyNs56RJNdlvy9G7p5VgeYNCBlg1st2wNGQw8LBoACUAAKxE4Bx2V6OyD1AqIcOpJZ0S06eNPDyKfnK0v1bdSlei3LZlZYy57qwda+jQopGUvTp1xHkx5vQ+/cfhsHYysYNTyva+8Eo1ZQpvpXSvcsUGDWcrxMGA3C9wxNtO0AJnC2glGz7wy0vxhfxqHVSmsN4M1aMhjN1hemmbZtwb0PwGgUn0SA0ShUxhhQAApAASjgumfUDKReQZRD2apx1P2R5TwLN85hf2gKWqlQyXreTj0VQGXPjVeW95ex55Ql5at0mU2tv8+U/gcp/ScUeGQA1eTzF/mWADP86sNsXlrWQ65+24A+E6tBkjnbmBqP7f9Usoks+6rBnrYNIHM8I0i11mz26TvL0uofdntGVVhWM9J6TQ2+az8iHGxiS/wZvnm47ipKxshGs6HHaa87zYXVkey7zfePByzT5/sMgP9QAApAgWgUcIVRZoYGpOzfbkvzBiDyCqPJduY9pNpyPgO7oa3VpWG2nK4t7WfAoWn5OHGKstR/vrLUf56yPSC5jG8Ho/p+VWBTtxg4ZkZXj3eFbVcYTfbh13evMMq2LVyvbGtgMJn2Ma2p/keEk03s8FeGb17iSM6aaT9gnPUAjEbx8YADTFGojDGgABSAAlDAE4xqQMr+32mPqFlOx2X64Y/Tp31up16tm1ATISBz3sPJbPhM2Tf69ooVtOLfW/jeUaslYC1zaQtkAjDqdBArWBh1912LgdWe0Yz4pHyMHkbtNAOMyvOhhNJO8sQClkABKAAF4qyAZxjNRgSvB5jSS7fuy/RuB4oMmVl+UEY5QKU7PS+aGWX7IkvvmcT3tqYOXpm3BSSXnNkBnFXK4axHlMNZ2lYCVxgVWKYX8z25HcC0XzdDH1O2mWdGPSy3B7VMb9as4ry31a0WjtsWkBnN5v0oeg2K3osqhvZQAApAASiQjQKhwigHG2Xpdnjy5HtGZk5X2sn90Ir3ZfPMDKD14RiWndOfpjeXO7K1SYNRi1Pl3GebwzjqeNkfYIoKRpkPbvEwt9EynW7X2R1EwwGmbN6+4V6TS7cDrRnXjpoPX0n9Fydo2mXh6uLUu2aHYgglkoZkPreEBhR0oempjvrT4sQ0ysrsmnHUrvlc6lVdScOaES0ZUEBdlI5LKqqpkj0h8LCyXb28hsa1a05VI0W1Va9TwqI+dJpY2enHdgE30RQKQAEJFQgdRjmceSx6n1nOJ10Y38seTl42Slmif9xU2knbI6nakq57ygBq0pBj+Sl7855RFSqV7OJw5XQ+X+pnxeLPJ3pYOVSVcUL9ceXkebq0k/N4CZrX/ZGMovdB+K6fX36W6bV+nGyy0nLyUK10l7lEl/EGB1qxfDvNWN/OeuA0fRSfJQxGs3lEf296Fe7WlZTQSupF1ZXDSAzDsvHS6hrVDoUsdUBsfi5pqw4WVQhslQWQarBXQhVJGFXZkQFqFY0UAlwr29MgyoBSFPQ5XJIG5aqtc3vpINnKzqxsDyp+6AcKQIHaUiASGK0t5zAuFIACtavAwoULqaysjBvBKnFk/2Aw05eoVysaPpzlFHUAtmQAcQasLqbRuiyhymVqxtTw0GXo9M8zeBpdLJ5RTPfBgG40FevBkEzPabYaQNHqOnelmG99q1oRTV+XyoymYTSdLXXvibXItCGlXUl/6s/yuCKZUVPGNhWLubofCxZtVJAWtd2bh2gFBaCAvAoARuWNDSyDAjmvQLAwqiz5UkVG5jMNkZSZfdMrKAI6HBrTC+npbkxZSEOEPMCoVURF7NKuZ9cobD5rFlFfM7xl058ljI6jTcOGKdsHsl2mN4hvkxk1gWdWtuf82wQOQIG8VwAwmvdTAAJAgfAUCBpGDcu8arrNkEmzX/K2WCYO2u2sMn3JpfZW6T2m7mYls8SzlH2iZJFJ5HYMp1Yi+2cdIdAPjOr2jZaYfkhY2ZmN7e6CoQUUgAKSKwAYlTxAMA8K5LICQcOo+RANh0/90i/P8Jn3bSaX6w3tglc10xa3cbMBUbXPvjRLPaBkCZHi/VrZnlbID4zqdM7YomBlp7jtwUcSPUIBKBC1AoDRqBXHeFAgjxQIF0bNp9J1wuqzcNlk2wSX6Y2HdVQ7rJ5LWZi0STl5JHbqXVue1w5pOWQ0OWBWjUyd6rebdo528osCglGbfqzs9Gp7Hr2V4CoUiLUCBhidOXNmItbewjkoAAUiVyC4A0ym8kKWh4E4BSr7PdclT5hHl2nznBk12CcWDssDWcku0qfdxbckBJ4ZtT2opc9aW9kpbruYgmgNBaCAjAogMypjVGATFIiJAmFmRu0zemmgmaUsaGdXNimLAHjZMxr0AR0vY3pxJfA9oxbZVAaoo4vTB9CCst2Lf2gDBaCA1AowGG3bti23seDbb79FZlTqcME4KJBbCoQGoy5Qp2YQT6D+JS/QdFNlJ6agVVH4KEo7eclsCtnhEejc+3QqL2W9TO/ep6noveUBJpymz613NKyFAuEogMxoOLqiVygABRQFgoPRXJAzy9JOZtcUwBywqCtNE7yDUqobG0B17jOLWqch2Yk6o7kw12EjFAhWgZyE0UmTlHvFK/Xvfvrpp2DVCLG32rA5X8YMMWzo2qcC+Qejbndgche0ZtwAWtR1Gr+9Z1YPi/2a7n3a3YHJ3gL3Pl2st9pXarcPOCshcBEUgAK5okAsYXTFihX07rvvCsWgS5cu1KxZtp/+7kM5gWFY9soOo19++SV98cUXtHv3buV2qwnat28fF/Lggw+m448/nho1auQuLFpIrUB+wajujk+O96YPL2R+7u9uf2/64O3FvemD1xQ9QoFcVsATjI4fP17Yx6FDhwpf4/UCN8iaMGEC3X///V674+0eeughGjJkiNA1Io2dbA7LXjedNPs3b9lEmzdvdnWnqKiIigqbOrbzOub777/PM9t79+7lEMpglD1+/vln/h97HHbYYfSLX/zC1S40kFeBfINReSMBy6AAFIAC8irgGUYv6dozw4vXFs0ju+dlgNEdO3aksm0FBQUp+7V/s//fb7/9+D2zZYDRoO31CoavL32NrryijJ5/YY6SUV5FpaUdqevl3QzxZrD48isv0cWdL/ENo1rWWg+iDEDZ3xqQaoOwLOkvf/lLed9BsMxRAcAoJggUgAJQAAq4KRBrGGXLwNXV1aSHT70g7PlTTz1VGhgN2l6vMPri/Hm0bv06uqbPNdSw4ZH0zddf0TPPPUOdL+xMhx9+BJfs3HPPDQRG9RnRI444gk455RSeAT3ggAPoxx9/pM8//5zWrVvHs6ZahvSoo46i1q1bu81lvC6hAoBRCYMCk6AAFIACkikQexjVQFS/bH/rrbdSkyZNOKTWqVNHKhi1Amf9cyL2eoHRbdu30dQnJ9HA8iH05tqttP6rOnT2sQnqeFYTmvBEBQ0eNIyOPvpo2n///emVRS/7yowy2P7kk09SS/OFhYXUvHlz+uabb1IZavb++Oyzz2j58uUpGGXPlZSUcDvwyC0FAKO5FS9YCwWgABSoDQUig9HVq1eTUsfU0ceGDRt6yoC5QZa2B/Orr75KZUb/85//0Jw5c1LjDx48mMOoU2Y0Kput7NULte6jb2n9xztp5w/7aO++BB24fx2q89N/qVeXdlTS6gRbTd10YheOGv0A3TpgIL38nnKYaPfB1KNNE5q/6jM64eDd1PUXR9OkKROp99XX0Nlnn+07M8qyoj/88APfOsGW5FlG9Pvvv6ddu3Zx8GT7Q9khMvbv2bNnG/xq3LhxqiBubbxRMGZ2CgBGs9MNV0EBKAAF8kkBzzAqKop5zygDw2nTptHOnTstu2L7NgcMGEBsSdbt4QZZerhjGVGWCT3uuOP4ye2pU6cq3f9Mo0c/wrOiTpnGqGzW28t81zKhn/3nO5o+fzU1PuYIOu+Mk+iUJkdSvbp16Zvvf6BNn35J7234VFnO3kO/veECS8ncdFq1+h2elfzf/k1o/c5D6OZOypL5IQfSio1b6e1N39EFJ+ylH778UIlJI2p/QanvzOg777zDQZPtP2VL8tq/2ZI8e45tBWjRogX997//pblz56b2kLKs7EEHHUSXX36529TA65IpABiVLCAwBwpAASggoQKeYfSBBx7IMH/UqFFk97zVASY7uBMBUWaEG2Tp4e62227jdvfu3ZtnRtk+Rfa45ZablPJBha7L9FHYrLe3pqaG27ft6x/oldXbqazjmXRms6M5gH75xb9p//rKUvXBhxPt+pKaHHMkrdrwOXVrV5gVjI649y4aNuR2Grv4C7qkbRGd3uRQqnvg/vTsmx/Sd7v3Ub0DFN3aHEbjJ1ZQxdgJvmH07bff5llRBqLaYSXtEBPLUJ911lkcxNkS/QcffGDwiR00u/rqqyV8C8EkJwUAo5gfUAAKQAEo4KZApDDKjDHDnSiIisAoO50+cuTIlAb6E/XsyUGDBvGMqdtp+rBt1mCU2csezM7Rf/w7lbYppjOLjqRvv/mKjjrxdGWJ/mfatfsn2vbpFtp/3x5qcuwRdMihDTk0Wj3coP3PM5+ic89pS//4tC799/tddOTB++gn2p8a7L+btny1l44+phGVnvQzraj8J51w/ElUs6ma1wQtKWlH7ZT/RMdcuXIlh1DtcBL7N8uO9unTh/8oYBnRyspK2rJlSyprqo3BYPTaa691m894XTIFAKOSBQTmQAEoAAUkVCByGNUDKfu316V5vXZukKWHu3/+85+GvaIa7LGSQfXq1SOWwWX1M91KO2lAGobNenvZ6f93P9xB3/xUl4Zc057+++0O2rpzDx17/MnEilP98ONP9NXnW+jwevvRCU2Oo7p1D6T//e9/wmDILhg/cRwH8U6XXkWzKnfQOScfRj8pJT6PPKQOLav6lm5sdwTNfGo8dep4IXVQyj199913HBonT5lEtw+/Q3hMBpoMQDUI3bNnD//3DTfcwPtie0q1Nvrao+w1tp+4e/fuEr6FYJKTAoBRzA8oAAWgABRwU6BWYFQDUvb/XvaImp0QgVGWZdSfRmelg55++ml+eOaQQw6hQw89lG666SZXGA3TZj2MMlsrnl1B7c5pTqefWJ++2nMIHXVEQ8UHVYUfFVrc8e+N9MOeffTF1z/S4Qcn6PxzioXBkF3weMVY2qPsOT33F63psBPPptc2fEdfb/uCjjz2OOrRan9a884y2vW/XUq5pc/oxr43cVg8o1VLWvjyS1nB6Nq1a/khNgagbI+oBqMnn3wyz4SyzPC2bdtSWVH2OnuwrChbxke9Ube3s3yvA0bliwksggJQAArIpkCtwagfIbzC6Ndff00ffvhhRp1RBj3sjkP169fnMNqzZ09PMBqWzRqMavb+6fV/07DrO9LGT/5Dhc1a0BGHHJCC0W+++pLOLDyS+8SA7vOt2+mw+vWyhtEb+95IE58YT6ed1krJkJbR0ve3U+mpR9Dkcb+jK7pdSe+tfU855PS1srSuLNsrB5k6dOhEf31tSVYwyko7rV+/PgNGO3fuzPeSsqwwqzGqnbbXYJQdYCorK6Njjz3WTwhwbS0oABitBdExJBSAAlAgxxSIPYyyeJizo+w5lqF77733OIwyGHJbpvcbVy+3A2Uwyh6DH19CD5ZfTu9/sYcaHnowHVqvLtWvux/PGO76zyZqc+apKXPY/ktWLsnq4QbtLDN65x130VtvLae/vr6EjlAK3DdocLgC8B9Q3QPqEtUh6nJZF/qXUhD/gvPb07PPzaY+va/NGkaZjUxz5ifLjjLYZEDdt29fbv6aNWsUW97ir7FDTtr96s8880wFgjv4DQGurwUFAKO1IDqGhAJQAArkmAKxhlGRWMgAo5q9Nz7wHN12bUf6cvsXdHj9uvTlvqOozgEH0t6f99Hurz+nKy8oVmBtDx1a/xBeKst8MEvrxyuMspJLLBu5Q7nz0udffEbHNW5CRx5xJG3c+AFt+WgT9b3hRmVLQ32aMnUSXXvN9bR4yatZZUY1u9g+XnZYSYNRBp5sfO1gk3bansE3u0PTFVdcIRJKtJVIAcCoRMGAKVAACkABSRXwDKOi9tfmvemXLVvG9zeKPFjB9TD3JDqBodnez/cVUef2Z9LZTY+gwhMa0yeffk7/2PQD7aEDlQNMe2nnt19T3YKfqfyKM/g+S7b/1erhBUaHDB5KbPmcAS0DQnZanu3R1B5VVVX0j38u53+y+9IXFhbxe9hnc4BJbyO7oQCr+8qynww6GZhqMKrtJy0uLkZGVGQSS9gWMCphUGASFIACUEAyBTzBqGQ2u9YZlc1eZo8bGOptnv/GBtq07Tu6rss5VHxSI/7SN9/upCmvfaSU69+P/rd7j7I0v4fu6NKEZxhPOMH6LkxuY766eBEx2BR9MEi8vEvXrABYfxG7K9ZHH33EYZjdhYktz7MqB40aNaKmTZtij6hoYCRsDxiVMCgwCQpAASggmQKA0YgC4gaGYZiRL2OGoR36DEYBwGgwOqIXKAAFoECcFQCMRhTdfAHD2vAzohBimCwUAIxmIRougQJQAArkmQI5CaN5FiO4CwVyVgHAaM6GDoZDASgABSJTADAamdQYCArknwKA0fjFfPpb0+miUy+iwkaFsXJuy5db6PWNr9MtpbfEyi84AwVyQQHAaC5ECTZCgRxVADCao4GzMbtiaQXVO7BebIGNgfZ3P3xHd1xifbvjeEUT3kABeRQwwOjMmTMT8pgGS6AAFIiDAuzuWezRoEGDOLiTtz48v/p52rh1I426YlSsNXjg5Qeo+Nhi6tOmT6z9hHNQQCYFDDD60JjxgFGZogNboECOK3Bi44b8Vq6A0dwOZPX2arr7xbtpfvn83HbEo/Vlk8voke6P0GnHnebxCjSDAlDAjwIMRtu2bcu7KNj29Q+hweiTEx+lWwb/1o+tOXttPvoOn3N2uhKLXRA3rZg4dSYBRnN3Hugtv3T8pTSj3wxq3KBxPBxy8WLrzq10zVPX0N/v+Hte+AsnoUBtK8BgtPGJLQCjYQYCYBamuvL0HZc4A0blmVMyWPLk8idp155dNLzzcGFztIwqOxi0Z+8eKikqoT/0/AO1PUXNgITxOPd359J7n7xHRx96NG2v2J71EGx/7P519qfBFw7Oug9cCAWggDcFNBjtP2AAMqPeJBNvFRdIEfEcPouoJVdbwKhc8ahNa3b/tJs6ju1IK+5eQXUK6giZ8vm3n1OrB1rRoQcdyjOMxzU8jmcb/7r+r/Tufe+GsgQ+9925dPW0q1N2Jp7KfrFvX2IfnTP6HPrnb/9J9evWF/IdjaEAFBBTADAqpldWrQFmWcmWcxfFJc6A0ZybeqEZPOnNSbzvQZ0GCY+xd99eOuehc2jIRUPo17/8Nb+elU8quqeIrjzrSlo4cKFwn24XnHb/abTzh530393/5f/5gVE21pRlU2jXj7twut5NeLwOBXwqABj1KaCXy+MCKV581drAZxG1gmu7ZfMmKixq6qtDwKgv+WJ18RkPnkGVIyqzzgxWbauiRvUb0ZH1j0zpUvCbAjqk7iH0/aTvA9VqVuUsunHGjfTgFQ/S468/HgiMsu0JbNl/40MbA7UVnUEBKGBUoFZhNJF4je48soyqHl5Hi25Nf4EmNk+kbq2radiOJ+jCgoKcj5kVmCUSm2j6pa3ogdVm99rSqNV/pwFF0futxmMMNQtgfLPPKX9PW0jbxl2SEdMtUztQu4U9qPKvt1GhQ8yDtDHoieUE4Npcn60b9FzTvPdjj6bvK2Xqe8mPToBRP5GIz7UrNq3gmcFnbn4mMKfY0v3xdx5PdfevS7un7rbtd9asWYGNiY6gABQIToG+ffsG15muJylgdDYZASyfYLTmzl009qI0eCb+NogaX/0nuu4F4/OhRD/ETi0BnPtG9IzpR4YGauTBZz+QFaK7vGs7GFXn82+pWOdfCk77WsO5qK1mGBW9Xt8eMOpHvfhcO/yF4dS+WXsqO1stzRXEY/Si0XT/S/fTJadfQn8d+ldHGO3Ro0cQQ6IPKAAFAlJg/vz5FGMYVTJxD7ekB6q7pTJmZhjVvszf1QmqwZr62nzqxvq4909qC+ULfuvlr3Co0/7WsnEZGcnWj7pm4/zG0SkzaoZRNpY5S+hmM29/7ztJM63A/rfEtdP5qvZ5M1GZpltbenDVCNrUJpzMKBveDjpVAE9DqmO8ddnb/oWv88y6HmIz+jJnoEOMt1OctYylfi6ptq5PZcI9+f1CD3rl6mQ86dcc7DvRZmOWnc3/Cso6yw0Y9fuOj8f1bP/lmpFr6KADDgrEoU3/2URs2Z8dDGIHmFo2aQkYDURZdAIFolEg/jC6+o9E5QoYTVGXp/Uw2okygeONYQfTtbOSX8RbnuBZp3eTGSYts8iAlAFoClaVpef+heqXth4MvC4P+wm1KIyK2HzKG7cZQU4HdnrtHrvQ6HsKcCkN40FmHe2yhDx2ZMwG6p+zAlZDvPl8UIHZDUY1SIsq3pZx1n4suWx98OZ3Gc1OAijbvqL+CGlpAFIs0/t5p+JaTYEd3++gS8ZfwqExiMf3P35P5z1yHrFST/NunUdXnHmFY7dsmT7KzOi+fftS9tSpI1Y1IAh90AcUyAUF8gBGFbAgBSontaBFKYC03zOqz351SsKotgRq/lLX//0YGcFNzdapezetMpRBTQ5hGE3upWUZPzebrV7X7DZnCQ1ZuaTfelCLAkYzst4e9qka4i0CoyZQDzveIlsTvMytTL9NWWD9PMn4sZH9/l9kRr1Eh+jeBffSI4sf4Y3vu/w+Gl022tuFOdBq4dqFtGDtApp1UzB7N7tM6EJvVr3JT9Bf2vJSVwUAo64SoQEUiFyBvIBRlhFlGbAllysAdgrLdhphNPMAiD4zqizTJzNPZqDSw2h5TUfdcrYxjkEeJjHPED8w6mbzK7eQYYlWv9fUKetrBeGRwKgJ/jlwPdY8Y6uEbbwFYPSUJ6ONdxAw6sVv7XCbfp+oNg+QGY3u87nxHY1p285tfEC/Bdajs9rbSA+/+jAdfsjhVN6h3NsFDq3Y3tNxS8fRi7e+SD3O8bYPFDDqW3Z0AAUCVyBvYJRnzZTPvolTiAYnYVRbamankDVgzMyMCsCohxPbQUdQGEZ1S7udX1eAyqPN6nI2s17dN+p0bW3BKLOOQ3L1CL6Ngtk8rnm6moIexizjLQqjHrULIuaiy/QsBh9tKVJKMSlbU5JZTtt5rvMbMBpEtPz1sXLzSmr3+3ZU2KiQ185kj8q7K/kdhuLw6DO9D/Vp28d1Od3NV63c0kNXPkQju450a556HTDqWSo0hAKRKZA3MMoU5dnR5o9S1b1qZrQTW2o1Zc6yhVGnJe0woykKo/qMpnlPqJudhmxZs/GWp9dZH7UJo6ml+tXNaRw7fKbbT2mVKQ1ymd5NPz+vCx9g0p2y53PTaZ5b7J02bEHBMr2f0Alfe/eLd9Ojf32Ubu1wK19+/nDbh/TbS39Lv7/q98J9yXhB1ye60ojLRtD5Tc/P2jx2UKleeT36ce+PvJST9mDF8A876DD6esLXtn0DRrOWHRdCgdAUyCsYTWeIksvw5gM6yS/wd5PZP77XVAc0Tsv02iGeB/SHdkwnmsOIogiMmks7WR400tnc/yPTASZdVtV8wEefkaxNGE396FAO48ymdBUFDsm2J+vVbK/qk3aAKXmKPFm7NF11wHTKPKJ4u5V2Il1dUXNpJ29+Gw8w8Uz4RvUA2inJE/X5t0z/Ab311lHUvn2jwN66jYY14ifIWTZvzOIxdMbxZ/BDN/pH8chiDqCvDn6V/vbB3/gydItjW1DV6Bd1AYMAACAASURBVCpDO5ZhnLN6juE5dlvMzx/73LO9rEg8f2/4uLWl58GSDU+46wT68HcfUr0D64leGkh7wGggMqITKBCoArUGo+YlVLe/nby2BjLrQxb6U8Ls1HB6+ZmNwECjGy1JlvRR95d6W6Zn9Twzi82HX2Teb9F7N5uN+pChRqmxXJAKaUxTLzDqFm/z6/r4u92ByameqmO8L0zDKK+8oFve5tsTeOmj9H5jN+2CfKf6LXrv7rdygKmvAvCzkiXLTGWqUiW+LEo7icQytw4wfUAvPvg8/afTQLo1ICDV4O/UxqfyAzytT25tmCbsRHiL+1rwbN+uKbto+YfLqdPjnXibD0Z/QMXHFltOq0HPDqLJf59M93e7n0ZdMcrz1LOCUQ2GvXRiBclu19UfVJ++e+I74fvRu/Xr9XXZYDSReJ2GNuhJM3QOtBmzlv42sMirS2gHBXJegVqD0SCVc4OTIMeSra989B0+BzsLRW4M4HfkXITR9coPrKM7lgcCpBr8bRi1gU477rQMOce+NpbunHcn9Tq3F70w4AVeN/OIIUfwe6I/1vMxy/uYr/98PbV6sBUdf/jxVPNwTWC1O/3G2u76g249yPEOSWGNq/UrE4wmNk+mzmePoNPn7aQJFyez1Bqc9ptH3024OGw50D8UkEIBwKgUYcjeCIBZ9trl0pVhxhkwqmZAGXQ6PYIAUrdl8dLHSumt6rdo9s2z6dq213Jzrv/T9TT77dnUvnl7Wn7n8gwTtWvm9J9Dv2r9K+mnNdMgym0BZkFkgdFEYjNN6Xw2LeiemQVNvD6EGvTcQGPWLqWBfJVGbTtiVdIb5QYia5eWUxFfiWKZ1T9Q83ndaUHPEaQ26Ufzdo6ni5XXXx9yGPUkI9hunnwRnV19F2BX+ndL/hgIGM3xWIcJKbJKA5+DjQxg1BuMJo7uSANvbU9+dpA6wej277bTsbcfaxvc/ersR9sf305H1j8y1ea5Vc/RNU9dQ79s+kv6x2//EezECKm3A285kPY8uSek3t27lQZGeVZ0AXVPAqed5SkQPT0NlBwwN6hAWkhLk8v8aQDlsDnidA6knZcOVcCWUnCq9Vd9Vzob664aWkCBcBUAjIarb+i9A8xCl1iKAeISZyzT2x8Y+tM//0Q3z7qZbii5IaMgfNE9RbzM059v/DP1O78fn5O79uzi+0u37txK/3rgX5bL/tlM3pYPtKQNX2zwdCnb+7rxoY2e2mqN2Cl4th+2th7SwCjPfqYh0RZGObRW013JTCdrp+0zVQiTxndWYZT927zUb/W6ujXA2F9txQLjQgFNgchg9MEHH0xAdigABaDA0KFDfYswcepMOrFxQyorUw5eKY8GDRr47jOzg/AOMFktU18x6Qp65f1XyGq5vd+MfjSzciZ1O7MbvTzoZW7qqFdG0YMvP0hDLhxC43uPz8p/t20DWXXqclHDwQ1p2+PbAt/byqC8cYPGribnHIwyaP1D89SyvAqj6SX+peWb1WV6XYbVvAVAv1SPJXrXKYIGtaBAZDCaUB5h+bd8+XIqLS0Nq3up+81H3+Gz1FPS0Tgtdjt37vTlRFQwGkZpJ+b4l+O+zPD/sNsO46foqx+upsPrHW54/e9Vyo0mxnWm+nXr07cTv+WvsTJRX33/FR2w3wGpk+lsCV/20k5sj+tTNzxFzY9p7msOsIvZAa/VH6+m+xbcR8url3ta/pcGRh2W6RlMbtlSSEVsv2gAMJrOhg6mGmXvKZbofU89dBCwAlHA6L4fv6UCwGjAkUt2BzALR1fZeo1LnHMLRmWbBfGwp8eUHtS/fX9P95F38rj8mXKa/tZ0Duis2gDPGHqolyoNjDodYNKdsh9fNMXXMj1buk/tE+0+hjaMwBJ9PN5J8fIiChgdefcQwGhY0yYukCKiD3wWUUuutoBRueJRG9YMfm4wv/tSkCf/RbYbyAKjHJ6T0Kkcm0/VFU3VHU2WdsrmAJP+gBM7cc8e6qEm5aw9SkbVxrTHmC4KAEZzfIoAzHI8gB7Nj0ucAaMeAx7jZqwCAFtar7i6IjAvcxVGOZB6KHrvXtpJOcDUrx/NmJEsna8r/aSJbFXTNLAAoCMo4FMBwKhPAWv78rhAioiO8FlELbnaAkblikdtWPOvz/5F9y28L3UQKwgbchlG/fqvP1mvnaa36hOn6P0qjevDVAAwKqhuTU0NNWvWTPCq8JoDzLxpG1TcgurHm9XpVnGJM2BUNPLxa88OHR0z/BjLQ1zZegsYNZZ2stKRLdMPoGm4zWi2kwzXhapAjsFoDY1r15yqRiZo2mWZX9Q149pR8+ErbQXrv9h4nZiy6thze1VT5TArGHV7XWw0r63jAile/WXtUj4vGUAFo4upurIrLUrGZmRVc1pYpo9zUHEx9rNkQIFpnCU0oKALke0cY6+PpuLqSrKcPi4CxCXOXmCUlX4aP965VFE0p+lFZiXaiijQZ3ofGnzhYCopKhG5zLYtYNQeRrXl+VUWS/eBiI9OoEAACuQQjKowwFjTDJWWX9Q146hd87nUK8sv/0xt3aDG7fUAomXRRVwgRUQdJxitLB5LBQvLKJH6tRJUXEz9MBA2jAMY9RJDNxjV1yB1AlLAqBe15W3D9o1u/GIjjS4bHYiR+QyjgQiITqBALSuQEzCayniW9Kf+NJ3IJjNq0NIRRtNgy68pqVCya8OI5Tv5WHN7Jf9Otmv5FFWs/w0HYf7ov1gHO9qoHqCH2zSc9Llbf9laXZawlidSlMNnwugw2pTKVDIoXEhliWl0GZninIpbEPEn3TjM+ySMVlTQuuFajPsriVJmh/Y6MqNOMGpVDN8OSAGjUb7jgh+L3T3qnNHnUNXoqkA6B4wGIiM6gQK1pkCOwOg42jRsWAou7JbpvcFoJjQaAVSX4WqqwGNfolkcVN1g0+31zMwZW+rtMl0PLOLzIK8zowzuxxZTpZIFrRk3gBZ1ncaXwI1L6Oa4BBd/4zhqfKcrP5c0AFV/RLVK/o1leja77WDUnBF1y5ACRsU/K2S7gtUJ7fWLXtSxuKNv0wCjviVEB1CgVhXICRhNK+S8Z9QTjLLlVb61T8tYsatM/SaXYBdTF92+QDfYdHvdIs6WtojNh7yGUTupFF3bVd2R3NtrsbweVPwN41gt0+ufA4x6gVF9JlQDUqvsKGBU7HNCxtZV26po4DMD6Y3b3/BtHmDUt4ToAArUqgJ5B6NOh5xKKrTDScll3Fb65Xg32HR7XYuzlkHT/kZmVPQd4ArgLGNqk9EONP6GcaxgUz8nNuEAk0tm1Ao67Q4zAUZF3zVytu83ox/dfMHNvAi+6GPuu3Pp6mlXZ1zG+mO3G7V7yFT0XtRntIcCcVUgP2E0tSfUNrWWseSqZU+zP02fhtAU9CIzmtX7yhVGeaab06iybG/8kWDckuE3/vpxAKNegul2gMlLH6wNYNSrUnK327pzK/We3puW37k8MkMBo5FJjYGggGcF8g5GlQ2FFsv0Rr0YsPSlWcr/+vL/V0s5uWU+XV5PlSFSD0rxhwdb3CLpDmZuPeTe61581mKobPc1luTyoLlI/NPjsMynubQTlunNswswmnvvt7AtnrFiBu34fgfdcckdYQ/F+weMRiIzBoECQgrkH4xqJ6wpfYJehcJ1VMHKQBE78V6lHNhne0r12a4AYFS/VzF1sr5EHTfLOvpewExoRuRAY08+J5fQZyo1SF811IdNbsEIKv6pcYrpcdMBJn5AbZ02z7BnlE0twGgOvMFqwcTr/3Q9Deo0iNqe0jb00QGjoUuMAaCAsAJ5CKNMI1NpH0oDIQcISu8V1f+d2m/oUNrJsuZ+sr16el6LEdsrWkYLddk09vro4nRRfbe/9V/uwpHP4Qs8wSiP8VgqrpxGTbWbIdiVdvIVf3WcFpVl9BIrar+4F83tkiztpCsZppZ+Spd2cout+XVvPssfVMCo/DGqDQtZqadrnrqGJl87mZo0bBKqCbUJo1u3bg3VN3QOBXJJgSZN0u/1HINRa5nj8kWdzSTKR9/hczYzRY5rAKNyxEFGK77Z9Q2Vzy6nsVePDRVIaxNG69SpI6P0sAkK1LoCgNFaD4E/AwBm/vTLlavjEmfNjzVr1mQtfVFREQ4wZa2e3Bey+9azR52C8KANMCr3HIB1+akAYDTH4x4XSBEJA3wWUUuutoBRueKRj9YARvMx6vBZdgUAo7JHyMU+gFmOB9Cj+XGJM2DUY8DRLDQFAKOhSYuOoUDWCgBGs5ZOjgvjAikiasJnEbXkagsYlSse+WgNYDQfow6fZVcAMCp7hJAZzVAAMJq7kxYwmruxi4vlehid8cEBobuVSCRSYxQUFIQ+HgaAArmkQL9Tf+LmAkZzKWoWtgLMcjyAHs2PS5wBox4DjmahKQAYDU1adAwFhBUAjApLJucFcYEUEXXhs4hacrUFjMoVj3y0BjCaj1GHz7IqABiVNTKCdgHMBAXL0eZxiTNgNEcnYIzMBozGKJhwJecVAIzmfAhVB+ICKSLhgM8iasnVFjAqVzzy0RrAaD5GHT7LqgBgVNbICNoFMBMULEebxyXOgNEcnYAxMhswGqNgwpWcVwAwmvMhRGY0JiH05AZgNC0T7sDkacqgkY0CssFoIvEaPX9eGa3U2XvKkHU09JqmOR3DRGITLftNK3q/U3a+/OfZDvTwhHdsNSgZt4t6t3OuTpCoHERDh62nsnl/p44nqG392pXTQZHQeMCohEHJxqS4QIqI7/BZRC252iIzKlc88tEamWA08elEmtDzt3SsDqxScFq2kCaMuCRnQxQk9Kk6zaczdVDpVZgPxhxMT1JaSw6of25O9z51Gx2NUlteZQytHWA0NGmj7RhgFq3etTVaXOIMGK2tGYRxNQVkgVEnWDNn9LS2C9clvWj1aAqmVHgdQ8eM60HvD/stfcSb/JpuefsJOlWBLTOMsVd51vGTEZawqwGy2o/60GchjRnLtoaso36WeYFRt7G0/pxg1Ekbdn1KHwVkOxz/uqpVFlCLd1A4CgBGw9E18l7jAikiwsFnEbXkagsYlSse+WiNNDDqMduXgq2idHaPA+ZmFUgbEQMstsyfBlAVGFtyIC1eeZuyVE0pONX6235T5jK3lpUlXaaWj7VQ7TujL74Mnu5bBEbdxmIg7QajVsDLfX+zhyHzyeF+eTe696Qx9Cz9Mee3QMTpfQsYjUk0AWYxCaSLG3GJc23C6KhRo/JjssBLRwVOPvlk6tGjB29Tm3dgUrOf1iBngDoOrdV0STLTmc72lRGDxl+VqDCqB0g96JlfV7OMxv6cBNPbqYfRZ7ueQTc/9jSddNpZlpd7yYyaL7TTxC4zatXeCrZTQE/pjDLeJnIooIfRjz/+OBSjtm/fTo1PbEEj7x5CBcot0dL3RAt4uLh8UWcjSz76Dp+zmSlyXFObMCqHArCithWQJjPqFUYt9jjqQW9In80ZS89mENQv1Tst0acykRmHqpKZUdrMDyXx7QIFh1LDZqV004h7LYHUK4xmHuBKZ3jdMqNOh5z0h8DSY9hvK6jteZmv4yMzGpPIA8xiEkhkRj0HEqfpPUuFhhYKSAOjDsv0DOS+/KyIjlZOgFsduBGF0XQ2dChtU2DSaolen3FlJ/s1mLPLVo7ocDT9b9d3VKdOE2o/Zh716Hi2QW03GNVDqNtYdplRqyV5q0nPYPy1k9bRkJPH4/CSZJ8KgFHJApKtOYDRbJXLreviEmdkRnNr3sXRWmlg1KH0kf6U/a9OeMLXMj0rf5Rauu70KG2bYL9Ebwm+NhnckZe3op1f1vApcshJF9Eto35nyJC6wqhVxtdmLJFlevOc1fvUKJnZtYPxOM532X0CjMoeIY/2xQVSPLrLm8FnEbXkagsYlSse+WiNLDDKM5HJ0k6kqytqLu2UzQEm/QEnrXxRaknboWSUOQuaPu2uLm93+DR9GIrtGdVglPlS3KYbXV6eXrL3BKP6g1VJLT6izKV0WxhNAv1C3V5QfSUC9fS8aT+tx+0R+fjeqA2fAaO1oXoIYwLMQhBVwi7jEmfAqISTK89MkglGOZB6KHrvXtpJAa6yX9PKhX9So6kr/aSF16qmqVXo1dPz2its/2Y3el8HdKnXlT2jiX3fGbrQA2mGzfqWSSB2G8tou3Wd0cxxkuB8fHJ/q64KgdafFazn2dtAGncBo9KEwp8hcYEUERXgs4hacrUFjMoVj3y0RjYY9RsDqxJJVn2KnqJ3s0u/TK9va86QuvWD1/NbAcBoTOIPMItJIF3ciEucAaP5MV9l9jJfYZQt0wdZY9MORlnsAaQyvwPksi1yGF22bFlopZ3kkhbWQAEo4KRAaWkprVmzJmuRcJo+a+lwoaJAvsFoat+nxdK9nwnhBKM/7tlLZ/6yu2EPqZ+xcG18FYgcRlFnNJzJFJeMmYg68FlELbnaIjMqVzzy0Zq4wWhtxdAJRplNO3d+T2079wGQ1laAcmTcKGG0fclZKHof1rwAmIWlrFz9xiXOgFG55lU+WgMYDSbqbjDKRtm+/Usq7XYTgDQYyWPZS5QwijswhTiF4gIpIhLBZxG15GoLGJUrHvloDWA0mKh7gVE20r///Rld3PNWKp80N5iB0UusFACMxiScALOYBNLFjbjEGTCaH/NVZi/1MBqFnfv27UsNU6dOnSiGjGSMZs3PoW1b1aL37PG//+2mQw45iP+7Y8euGTa8/PJzkdiFQXJTgfnz51Pfvn1DMb68vBz3pg9FWV2ncYEUEZ3gs4hacrUFjMoVj3y0BjAaTNT1MMpA9OijT6bnX3iGul5+IXXq1I1uvfXXdOmlFwYzGHqJvQKAUcEQ19TUULNmzQSvCq85wMybtkHFLah+vFmdbhWXOOcejC6hAQVdaLouYCUV1VQ5rHY/A2rGtaPmw5U7iPdfTIlpl3HrrJ5Tza6hce2aU9XIBCWbJr1Rn2fdsEf2ftn1rxOtZhy1az6XelVXEpNuyYAC6qKIms2YBj+V4ukFrCOLR//FZn/VRoBR0U8f6/YajGoguujVeXTboNtp/fp3+NJ8ly5X0cqVfwtmMPQSewVyBEbNXwj9aXFiGqkfwenbQ6Y+pGzCZvfh5C3K6gfu3F52X0Rur3sbRbRVXCBFxO+Uz0sGUMHoYqqu7EqLkrEZWdWcFpbpv4SCiouxH/ZlahxHnaPKxDR94WuesddHU3Hyy1jEX/0cF71OtvY5BaMcoIZTK0NMk59FOgiMXmOruWY3/9LAafz8Sz7fSoNZ9fp1wqBt179eFa1NCVXo5z/Xt4pG6j7L3bV0e58lQXddhfK5MIysfjIARt1V9tKCwejmTet4RpSB6Lm/OJOuvrof3XPPXXTBBW3osst60k03XYfsqBcx0YZyAEYzPyRV6GyVAlJLIDP9EvcfazeocXvdvwVWPQBGjTBaWTyWChaWpbJFWlbI/keE17iY4stA2DCO25ckYFQP1XLVGWWxVfYq9WpFw4ezLFsJPf7hLCq40ebHJ4t9l3U6sDJmGJV0ny0IMQ3YD5nRxX6yq1ZzKfO51I/zkv7Un+V29ZlRq8/H1I87a4gzv1Mc+9c1Zu36VrUimr4ulRnlL2f1Ge3yPuKxYb8J08kKs92AUa+fec7trriiD61a9W4KRFnrd997n265ZSh9WPUuffDBh/SrX91IK1a8HsyA6CXWCsgPo5YfLsYPJHEYtf/y4B+wc3slv0yS7Vo+RRXrf5NaztIvjaVnhwcYTWZakqti/FJ/2dp0VjjWs9TkXGZmdBhtSmUq2dxYSGX8y8gU51Q2K4j4k24cjhhqZrSigtYNH05qjPUZfMCo3DCqLFeTDiI9g1Lm+974GeLyzuSfb1bLzKYsoqEbrzA6jjYNG5Z6HxiW6a3AUzBTWTPOoX/NXtanwvmzZhH11S3ThwOjHj6DlYEBo+F+W7DsaEXFw3TqqS3onHPa0/Llr4Y7IHqPhQLyw6iVzKYvCjEYdfvy0GW4miY/SPlyj9sHndvrmZkzdd+UccuB6KzK68womwdji6lS2QhXM24ALeo6LbUfLb2Ebo5LcPE3LtVrW0nS8TRm8AGjssOoIXvuIcPG36uW7TzsoRR9o+vbW4GyIzxn2mMJzJ4B3Gy8055URqLKPlEy7hlNw6h5G4SLME42eoyZbDCaSLxOQxv0pBk619uMWUt/G1jkZ5bU2rVbt22nbt16U9s2Lajh/71A71yz2tIX1e8/UPO1S6m8cCnXgObtpAkXFwRqeyKxmaZ0PptGrDIITGuXllNRQXqsxOtDqEFPNQpM/6XNJqb+bv3IJGp5z1+4rQOLgrPP0jadmf1C0ENUXH2cgvTdbEcOwqh5r5NNdtDuQ8vLl0dyCXYxddHtC3SDTbfXLaaAxw9Pp8mT1zBqJ4yia7uqO5KHTCyW1zOW8Uxfpl7jbxjHbR8fYFR2GM3IHLos9zJ/nPapZ3M4x8sXhRVIOmdjawdG+fI8zVLfh5afx5mf5W7+2/vp/fNXJhhNbJ5Mnc8eQafroCMFp/3m0XcTLnaTRNrXNdBa0N0drDWfg4ZROy1fH3IY9ZzRhsbo4JI/R2nNzX+HIbSIRmGM76VPwKilStYfXiKZUW9fHlbjuH3Yub2uOeR8GMvL5NC3AYxaKKYtDVpktAONv2EcK9jUz4lNOMCkhErOA0wWmT2XTGNNTTOlqkYSRlPbekTfvUp7wWV6vppC6RP0bESr54yWWPgXwDJ9egwb/XhSNLn/1EFP/p6sGqnb522to6OfAlldWWDUCUTULN2GFCxlZNDajEll9lKwMK87Leg5gtQEYD+F68bTxUrmzwqqNk++iM6uvssSdjVA1icS9Rk6fm0qzWgEOn3k3EDLMjM6ZgxtGJHpg9rXAKLup9OIESx7qY5bXrjFmPU06KJmRO1gmPuxoDvXcfPQBgqcatYrh7BunEGPzEz/Pffby2lxQzWLy7KDBo10Y7IrnGJlntluGmntneOfqc0jL3WnhVcuoO5jNL3YlJhHOy9/NZXtZX+zHztWPwTU+ccS1eOpM7GstY3vSQODyODmTmY0ud9SOTWQUVZFGEZdvzwyl1zdD8K4wWgaQlMZE2RGs/j29rJPlsUiuTzYzBgXb/v5vMZfPw5g1EswcwZGnbbl6E/Zk/uBGS+6iLQJIjOqZipNJ9kFDzA5wajTj770Pnm3z8xMVWzfvwK2SwOjPCuqAIPL0m8KRE43Ze02qEBayGGBLfOnAVQFxtNVmFg6NAUWDE61/qrvylwStwITNYuo9p3Rlw5aWN9+YdTWB0pCJ+khPBM29YBZuGWKo74qUKb1d8qM2m0pGN9ZtUsDXiu41Nuk3xagB1en7LF7/C20SWbcV2nAqW1B0P7W+W61RcIORq3a6ueHeQ6IfK7lBoxmnF41uigCo9Z7vEx5hOTy0ixlkSm1zOR3z6jVhyVgVGSuptp6yQanlwjJWJLLg+batV7inx6HZT7NpZ30S/dYpmcBzB0YVYy1/AFsLu2UXEXRH35y+bzKatLrLwpgz6j243q479JOzDAPe2SFbbZRySYD6p4dTvcnDYw6gJwB6jg4VNNdyUynCjHqPlO2rD2+c+Z+S6fXVQgz9uc0Jw1gYgJbx+uSezXtQMttz6jRByP0cQ0s9NOD9ngyQrjZVjN4e4bRzfb9utlk3g/rtGdU2zdsFS9XbUzbP8y+us4fh8xoho4e57Hb5578MOph+UUIRrUT1nZfHnyjvZYx0AOE2694l9fNEJQ6We90atYtfF6yhO595FoLLzDKQUJJjs5UapC+aqgP6wIPovFPjVNMj/Pi6OkDTPwLMlXvEDCaczDK3xjmbTVWhdqTcypVJsP5PR1Vaaf0+9rpgJF90XvvdgYHo+5jWr+PnK4zv5ZzMMq+7P/Q3HDgRp+BW1q+2bCMqsKqMWuoBy2nJXptzmQeqkpmRrUMZXIN32l51m0JOhNG00vBZh+UBDDPQOqzucbtAsZvsfQBJHWp2Spjly2MXvrXzqnlfXOm080m86E0N41S0O0Y/0xtzFlf875PvzBqNz9inRn1stwjBqPpX/LanUdYXUGtGLP5F7b+b/s7nFj1qXtzJEsKaXcdUV9h0FJGC3XZNPOHptvf+i/3XANKP/Z6glH+o2MsFVdOo6YZd6uxhwfx+KvjtKgso5dYUfvFvWhul2RpJ0O9SeOXqFtsza9789mPqtFcK2dmNBrfgxvFW2kn3+MpP7QGLOpK08K625RNttR5zCx+1Jn8kAZGHZbpGaRs2VJIRWx/YgAwms6uDaYaE9Tp54keMlKZOZvMl7o8y6623jfqBlqBwGhyz6cZCjnEuWyDyHaZ3hVGHWwyvyfdNJINRrVler5rN1nxwSobnM1nj/yZUQ9exeWL2oOrGU3y0Xf4nM1MkeMawGgQcXCr3BDEGGyXQrpcWjA9mnqx2DLjPqaV787WmfuUBkYdlrH1p+zHF7G9j9kv07Ol4dTydXd2QMh+id4SfLPcF+oGWtks0+szo14gyOlEvHkvZ1jL9E6z002jNFQ7xV/dwmDQxgTiQWVGy9kWBXOWNm+W6T18CuYjnGiy5KPv8NnDm0LSJoDRYAIjdm/6YMYMspfA7k2v1BgWfcgCo2nQGEHK0fBULU5zOSL3AyyZB5g4WCUPOGlZw9QSskPJKDPgpU+NJ0+vm/ZLOmUf3UDLCkb1B5j0PhQmtwcYgEurH6o/1JRRhSBZw9Xks2hpJydw1m97SMXKwSZjJtr5xD+fI5qftgfY/MJo8gBUsv/0PlZta0b6ND2H0eQpe34YTjsoZZMdF3lvIjMqopaEbQFmEgYlBJPiEmfAaAiTA10KKSATjKqw4V703r20k0II/frRjBnJ+kSmckN68NXXNLUSLr38zl5lQHI5vaorSG98nVUMsi5U71jQnZUZGk+movfKnlF9eSqLMk3mCgCZY1hvGTDbrKwxZxS995oZzSjtpKtiYIDHVG2s7MtfafFxL+2UfWZUzZzrUS/j9QAAIABJREFU56BiL4+Dmo01l3Zymx9Cb0ZdY8BotspJcl1cIEVETvgsopZcbQGjcsUjH62RDUb9xsBrwXjRU/R+7cL1UEBEAcCoiFoStgWYSRiUEEyKS5wBoyFMDnQppEC+wihbTh5A03L2NqNCQUbjnFMAMJpzITMaHBdIEQkDfBZRS662gFG54pGP1uQbjKb29VksTedj/OGznAoARuWMi2erAGaepcrphnGJM2A0p6dhLIyPG4zGIihwIu8VAIzm+BSIC6SIhAE+i6glV1vAqFzxyEdrAKP5GHX4LLsCgFHZI+RiH8AsxwPo0fy4xBkw6jHgaBaaAoDR0KRFx1AgawUAo1lLJ8eFcYEUETXhs4hacrUFjMoVj3y0BjCaj1GHz7IrABiVPULIjGYoABjN3UkLGM3d2MXFcsBoXCIJP+KkAGA0x6MJMMvxAHo0Py5xBox6DDiahaYAYDQ0adExFMhaAcBo1tLJcWFcIEVETfgsopZcbQGjcsUjH60BjOZj1OGz7AoARmWPEJbpsUyvKBAXAAeM5vgHTgzMB4zGIIhwIXYKAEZzPKRxgRSRMMBnEbXkagsYlSse+WgNYDQfow6fZVcAMCp7hJAZRWYUmVHDHCgqKqKJU2fSiY0bUllZGX+tQYMGOf5OhvlRKSAbjGr3lp+hE6DNmLU5f9tO9c5P1XTXzvF0cUFBVOHFODmqAGA0RwOnmY0sYY4H0KP5cYkzMqMeA45moSkgE4xqt+o8fd5OmnCxCmwpOO03j76bcHFoOoTdMWA0bIXj1T9gNMfjGRdIEQkDfBZRS662gFG54pGP1sgCo4nEZprS+Wxa0D0zC5p4fQg16LmBxqxdSgOLChRAVduOWJWMmO4+8yq8/oGaz+tOC3qOILVJP5qXzEi+PuQw6klGsN08+SI6u/ouS9hN3cteNzn66WCZX5s2JGWjeS7pYbTzlilKlnQBdR9zOo0YkcwBK7C98/JXFT/Tf2vw7WaDMZvchsbwfinls5Ne+Tjnc8FnwGguRMnBRoBZjgfQo/lxiTNg1GPA0Sw0BaSBUb6MrQBaEjjtHE6B1elpoOSAuWEMrV1aToW0VIHRnjRDB6AqMJ7O4azz0qEK8GWCWvVd6WysNrYGecqFqUwtH2uGCrcZfXFoTvet9yETRhVQTmZ7VdhWIFT7W6dFeaHqj60NSX83JLcypME1aSNtyYB8rseC7lyvImwZCO295adjwKgf9SS4Ni6QIiIlfBZRS662gFG54pGP1kgDow4gZwd12t5LPTSO75wJb06viy6fq+CoAqcZRp3mjxWMatsRzNBrBcEGDcw2/KG5ASyd4Jv1owG9FYDn43tARp8BozJGRcAmgJmAWDncNC5xBozm8CSMwPTpb02ni069iAobFYY2Ws7BKAMxE3zpl/iXlm9Wl+l1GVbzFgD9Ur3TEr05Q5o+VGXMOmqr9Prle3PALJfpU9sOklsLDH8bs6GZB7tUG4qmdM7YYqAHZv56ahuB0ao4HAwL7Y1Ryx0DRms5AH6HjwukiOgAn0XUkqstYFSueMhkTcXSCqp3YD26pfSWUM2SBkYdlukZTG7ZUkhFbL9oADCaBsPBVKPsPbXLEOoBUAM3PejpT8Wry/csVMqeTYutBtnCqJbpZV1b2eAJRrEkH+p7KIzOAaNhqBphnwCzCMWuxaHiEmfAaC1OIomHfn7187Rx60YadcWo0K2UBkadDjBxUB1BbFl7fBE7/GMskSSyTM9O6aeWqbuPoQ0j7MstWYKv075QVx/UsVIHmDxkRseTssfVnAn2uUwf+qTCAL4ViAxGly1blvBtLTqAAlAg5xUoLS2lNWvWZO0H6oxmLZ2UF1Zvr6a7X7yb5pfPj8Q+WWCUOasdvlFSi6m6oubSTtkcYNIfcNIO7KROwTuUjDJnQdOHg9TsZ/lm02Eop+yurs6oMIzqD1wlwXxVMgNbXmg8oJTO5pq2EpB6wIv5b65OEMlEwyBCCkQGo3v2vB0ajFZW7qZ27Q4ScjwujfPRd/icu7OXxQ4wmrvxC8PyS8dfSjP6zaDGDRr76n7rzq2e+pAJRjmQ8tJM7DR8+mHe2+he2kmht379aMaMZC+60k9ar1Y1Ta0ETy+/s1cZ4F1Or+pOtxtfZwfiM0/lp0FbPDPKMrluNliWdlqQPtSUoZfNVgJfEw4XB6pAFDDavuQsKgCMBhq3VGcAs3B0la3XuMQZMCrbzKpde55c/iTt2rOLhncenpUh+xL7aPXHq+m+BffR8urltOfJPRn9zF8zn2deP97xMZ1wxAl0f4v7qUePHlmNl81F+/btS11Wp06dbLpwvMbtJLoRRuN5RySr7QWBC40OQ1UgChi9+/bzAKNhRTEukCKiD3wWUUuutoBRueJRm9bs/mk3dRzbkVbcvYLqFIhDWvkz5cRO39evW592/rCTu5J4yrgAx0C1zcNt6LrzruPZ155Te1L3+t3zEkbZMv0Ampb7txm1uSGA1c0DanN+Y2wxBQCjYnpJ1xpgJl1IQjEoLnEGjIYyPXKy00lvTuJ2D+o0yLf9Bb9J3krTBKN9/9yX/rLyL/Tq4FepS6sutOhfi2jH2h15BaOpfZ8WS/e+ha+lDox3gUqfuq8lczBsAAoARgMQsTa7iAukiGgIn0XUkqstYFSueNSmNWc8eAZVjqjkmU2/DzsYLbqniLZ8uYW+nvA1HV7vcL4lYO5zc2MFo361w/VQQAYFAKOCUdi06VNq2vQEwavCaw4w86ZtUHELqh9vVqdbxSXOgFHRyMez/YpNK2jKsin0zM3PBOKgHYzWK69HP/z0Q2r5nu0xffovTwNGA1EdnUCB4BTICRhNJD6liaW96M63k47fXEF7prRLqaB9UW+a8Bs67c51turc/MpKmnKJupwj+tBsePGqufTWkEwYdXtddDyv7eMCKV79Ze00nxOvjaG6D59MG5f/kl5V5geLzb0f9qKXrkzHOai4mPt5rfw80ziVNLCucgjDZo4lEuz1GdRi43Qa0lR8DsYlzoBRkZke37bDXxhO7Zu1p7KzywJx0g5G9x+wP/2872fDXlLZTtMHIgA6gQI5rkBOwCj74u9GKoBawYXVF3Vi03NUetqbdFWWX/7muLpBjdvrYc2TuECKiD5OMLq8eDbVfak09WMlqLiY++EgbBgHMOolhoBRLyrFv81p959Ga0auoYMOCKYknx2MWj0fNYzGP5rwEAr4V0B6GLWCSp4BfbGTkhHrTU2VgraiMJqRaT1vSKovfd9F9JmakT19BD22YYxtZpaFwQv0qL5MIC3By67zk63VZwn9T4Xc6SETRnvT5oElPFM5+eKVSgZyOV354910sRY/U0Y9iPj/OJlS41zCiirzzKeSGX1sCK2/U4vxlfSKYkf6dWRGAaO58z4Ly9Id3++gS8ZfQu/e925gQ3hdpmcDAkYDkx0dQYHAFJAeRr1kKEVg1AoajQDKYEZdbp1cNIdKbyL6swK9Gphmu0yfghXdMi7P+P4xDSzZRDWvM6MM7itOoreUjPmmCWPo1cvv5kvg+iX0jIxmcsuHPo7Zxt84jgqjf6R0PNVtI4UcSC8mNq8Ao4BR93d51bYqenLZk/S3D/7GD9/s+XkPHbjfgdTo0EZ0Q8kNNLpstHsnErdYuHYhLVi7gGbdNCswK90OMP08/WdePmrvvr30zNPB7FMNzHh0BAWgAFegb9++oShRXl5OjU9sQYHUGTVks3SZTLvsoN0yPV9e7aawZjJjpc9qfnivutdQW4J9hYan9gW6ZT7dXrdS2MoW0UjkM4zaacV0La26ju/ttVxeDyj+xnEyl+n1P0DUjC1gFDDq/A5/btVzxMoRXdDsAnqkxyPU+uTW/IKVm1fS/S/dT02PbkrTrp8m+jEhVfuHX32YDj/kcCrvUB6YXXYw2md6H5qzeg59MPoDKj62mBjonzryVOrdujc91/+5wMY3d2RnT7btvBrKDoVt/247jbpilNdL0A4KxF6BQGFUr5YZ4kQyo06HnM57TD2clALflumDUm6w6fa6Zr8GKH9MOYTMqOg7wQ3A+Q8Rm4x2kPE3jpMJm/o5sXzwp4BRJdCAUfvZvvGLjXTGqDPojOPPoFX3rqL96+yf0ZiVJqp3YD3Rt4xU7Rkg9mnbh64484rA7LKDPwbx7X7fjvq3709Tr5tKg54dRFOXTaW373mb2p7SNrDxs4VMr9Dq1VCWdX5+9fOhgrZXW9AOCsiiQHgwmlxq1TKZwjCq229qJVYaGPV7/tQT/X6X6RmEpqDXIksrGjw3MBPtLxfau/msQuBDyv6K6TS4SN33q8XNvN/YT/yN4wBGvcwdwKi9SgOeHsDvKDSn/xz6VetfeZEzJ9t0faIrjbhsBJ3f9Hxf9s99dy5dPe3qjD5uvuBmeuqGp1LPP/POMzyrzLY8FDYqpAe7PUjXl1zva2yri73ao7+2yZ1NaO/Pe2l7xfZA7GF3nBr1yihadNuiQPpDJ1AgDgoEAqPWy+rGJVERGPWyNM6A5Sa6n/5MD/H/t1ruNQfILTOaLkOkHrpiDy+2uE0ENzBzuz4XX/fisxbD5YPJAKNeNBeJf3oclvk0lnbCMn3m7MotGP2A3nrrKGrfvlFgb5NGwxrxE+QPXfkQjVk8hmdB5906j/d/yt2n8PunfzXuKzqy/pGexnx65dP06F8fpert1XTg/gfSje1upN9f9XvPheSDzsx5MfqEu06gD3/3Yc5neL34GnUbljlvdm8z+vyxz6MeGuNBAWkVCAZGTVnQFMTx+pLip+lTS/CUPkGvAsoWekwpAzWYlENLp31M95oOnZgzbFnBqG6vYvpkfSs+bja1J5kNXsBM2hmSpWFefNaW0P+07Hxa3OHqVGY06PinxzmJxh1kPMDED6itV+dZEQ4w8WjnGoy++ODz9J9OA+nWgIBUg79TG5/KD/Boe0KZNgfeciD99PNPGfdXt3ubsOXY3tN7052X3MkBlGVVb519K93W6Taa2Geip3eXFYwWjyymD7d96On6Fse2oKrRVZ7aao3qD6pP3z3xXVb3oxcaKA8bswNaRww5guuLBxSAAqoCgcAoh09z0XsfB5gs+6M0EOprmrK2+r9T+w1NRfet+9RNg2R79fS89jzbAlBKL+myaez1h1uki+q7/Q0YtX+rqXNmNhUvv5uKJvZXb4aQjEPGfPIRf22cFstK6eWDlANKr3SiF7slSzvp5qm56L1bbM2vewHwXPjgyUUYXa+sZBzdsTwQINXgb8OoDXTacacZQiYKo20faUurPlpF/5v8P55lZHcX2q//fvy2l+z2l7I+Drr1INo9dbes5uW8XdA350MIBwJWIDAYdbMrLl/Ubn5avZ6PvsPnbGaKHNfICaMfEMuAMuh0egQBpE7L4qLL9Bq8mm0+ruFxUi/TMg0STyXkmJAxtILddWrvtL0x9AwuQYHsFACMZqdb6qoDDzyP/3vPHn2ZfGOnADOfIufI5XGJcy7DaOLojjTw1vbkZwepE4xqB5ie/c2z1KdNH9eZyTJgP+79kbQamq4XSNKAQfSeJ/dIYk38zEBmNH4xhUf+FACM+tOPGIwmEgkqUDI2dkAaF0gRkQo+i6glV1s5YdROo3TGNIisKBvFCUa10k4tm7TkdyeyKu20Z69SAF85qMQeJWNK6O0tb9Pa+9fSWSeclXLi828/pyYNm2Qd+JYPtKQNX2zwdD3b+7rxoY2e2mqN6pXXo11Tdgldg8beFGBbNeoPrA99vcmFVnmiAGDUZ6A1GOVfYjZACjDzKXKOXB6XOOcijIZxgMlumZodSrr2j9eqRe+7P0JtC9vygz6f7PiEF28f+9pY+nLcl3zWspqS3ad0p8vPuJyXg2LwyoqeP/vOs55vtVkbp+kbDm5I2x7fFth96WV9C2/duZUaN2gcqXm7f9pNx91xnNR7hiMVBINBAUUBwKjPaaCHUTsgjQukiEgFn0XUkqttrsFoGKWdWEQ0oLSKDivTNPGNifRm1Zv08Vcf0w8//UAHH3AwFTcupvbN2tP43uNTl7HalhVLK2jtv9fy584+8Wy+xD/4QqWmmYdHbcBo6WOlvA5o82Oae7DQX5Ohc4bShDcmZHSyX5396P/u/z9iWeggHywzyWp93rfgPlpevdxyO8L8NfPp7hfv5mW8TjjiBPpd2e88bcvwYierpXr9n66nFXev8NIcbaBAXigAGPUZZjOMWgEpwMynyDlyeVzinFswmiOTI8fM7DGlB78j0qUtL43ccpatPP3+0+mi0y6iFwa8EOj45c+U8/Ja9evWp50/7OR9mzPgDFTbPNyGrjvvOprRbwb1nNqTXvq/lwK7I9TidYvpj//4I80vnx+ob+gMCuSyAoBRn9GzglEzkMYFUkSkgs8iasnVFjAqVzxqw5rBzw3md1+qjbtMMRB++f2XeW3Upkc3Dc19u4xz3z/3pb+s/Au9OvhV6tKqCy361yLq9kQ3uqbtNfTMzc/4tue5Vc/Rsg+X0bTrp/nuCx1AgbgoABj1GUk7GNUDKcDMp8g5cnlc4gwYzZEJF6KZDJhYhrDi6ooQR8ns+r1P3qNzf3cu3VByA7/hQJgPOxgtuqeI35aU1YFl9WDZHZMOGXgInXjEifTJo5/4Nmn4C8PpFyf9gq5te63vvtABFIiLAoBRn5F0glENSJctW0bt2h3kc6TcujwuYCaielx8BoyKRD2ebf/12b/ovoX30cuDXo7UQbaXcvbbs6ny7koqKSoJdWw7GGWVBNgeYG35XrtRAdsTHESFgSsmXUEPdHuAAykeUAAKqAoARn3OBDcY1WdIfQ6VU5fHBcxERI+Lz4BRkajHsy0DsGOGH+N4iCtoz1kGkp3iP+awY+jTP3wadPcZ/dnBKCtI//O+nw17SVnbA/Y7wHftVabrUUOPwkn60KOLAXJNAcCoz4h5gdF8BNK4gJnI9IiLz4BRkajHt22f6eqJ/7AzlJqCrOrA1dOuphvb3cgPDoX9sINRq+fZc+x0v9+7Jr3z0Tv0+OuPB34wK2yt0D8UCFsBwKhPhd32jJq7d7pTk09TpLo8LmAmImpcfAaMikQ9vm3ZvlFW5H902ehInBS9u5Vfo7wu0/NkggKjQSzTP/DyA1R4VCH1bdfXr/m4HgrESgHAqM9wWtUZZXdk0mdD4wIpIlLBZxG15GoLGJUrHrVlDVs2P2f0OfxUexSPLhO60JL1S+itu97iNxQI++F2gEm7hevefXvpgAEH0MlHnkwf/f4jX2YVjyzmNztgpaXwgAJQIK0AYNTnbDDfgYl1BxglAoz6nFi1eDlgtBbFl2xoVpez1y96UcfijqFbxvaLstqfP0z5IZI7P9nBKNuewO6k9cHoD6j42GKq2lZFp448lXq37k3P9X8uax1YgX125y2UdMpaQlwYYwUAoz6Da3VvejOg4jS9T5Fz5PK4ADhgNEcmXARmMhAb+MxAeuP2N0If7cBbDqSffv4powh9WAPbwejKzSup3e/b8aL/U6+bSoOeHURTl031XfT+0vGX8jtzMcDFAwpAAaMCgFGfM4KBJ3vo94ICRpEZ9TmtavVywGityi/d4P1m9KObL7iZF8EP89FoWCPevdNtWP2Orx2SMvfD/GO3P9Uez7zzDN3/0v283mhho0J6sNuDdH3J9VkPzw4uTXpzEj3966ez7gMXQoE4KwAY9RldBp5Wh5LMQJovB5c0OeOSJRSZHnHxGTAqEvX4t2W35+w9vTctv3N5/J0NycMLHr2A5gyYQ00aNglpBHQLBXJbAcBoSPEDjO5Gof+Q5lbY3QJGw1Y49/qfsWIG7fh+B91xyR25Z3wtWzz2tbFUr249Ku9QXsuWYHgoIK8CgNEQY5PPQBqXLKHI9IiLz4BRkajnT1t2d6RBnQZR21Pa5o/TPj1ly/MT35gYyD3tfZqCy6GA1AoARgMMj/4wEztRX1BQYDhZz4bSP89eZ484LuHHBcxEpkdcfAaMikQ9f9qyUk/XPHUNTb52MpabPYT9kx2f0JA5Q2hO/zmRVAfwYBKaQAFpFQCMBhiaAw5omwJQDUQ14LQCUa0E1E8/vROgFXJ0FRcwE1EzLj4DRkWinl9tv9n1DZXPLqexV48FkDqE/tOvP6Xb597OyzgdXu/w/Jok8BYKZKEAYDQL0ewu8XprUO16ZEYDFF+CrgCj6SAUFRXRxKkz6cTGDamsrIy/0KBBAwmiBBP8KsDur84edQrq+O0qttdDo9iGFo6FpABgNEBh9ZlRt271S/jIjLqplRuvA0YBo7kxU2ElFIACUEAuBQwwqhRnV+9jiUdWCnTo0CG1R9RLB1pmlBXFxwMKyKRAaWkprVmzJmuTkBnNWjpcCAWgABTIOwUMMKrsYQwNRpcvX07sCy7uD33G08lXr+1yVa98ibc+PnHxWfMDMJqr7z7YDQWgABTILQU0GG1fchYVAEb9BU8UMLXMaIi/Afw55OPquICZiARx8RkwKhJ1tIUCUAAKQAG/CmgwOvLuIYBRv2Ky6/Wn6M1lnKz+DmJMGfuIC5iJaBsXnwGjIlFHWygABaAAFPCrAGDUr4K660VBFJnRAMWXoCvAaDoI2DMqwYSECVAACkCBHFEAMBpBoOICKSJSwWcRteRqi8yoXPGANVAACkCBuCsAGI0gwgAzbyLX1NRQs2bNvDV2aBVUP6KGxCXOgFHRyKM9FIACUAAK+FEgHBitGUftms+lXtWVNCzJFplf1EtoQEEXmq6zvqSimiq1C3TP14xrR82Hr6T+ixM07bJMd5cMKKAu+o76L6aEVUPDpd7H9yMwuzYukCKiQ8rnJQOoYHQxVVd2pUXtmtPcXtU0sqo5LSzTx7KGxiVfs4q/93GN/bB5YRxHjTnZzCMi9vpoKtbNW+9jxyfOgFGRqKMtFIACUAAK+FUgBBhVgWD4yhKqsINRDqvDqZUBCpJwmAGS6vPrSkpoJfVSoGYY6XNnHERJD5/J8Vs5AKnQ+H4ljg+kiCjhBKOVxWOpYGGZ7gdDODBKDIQN4wBGvcQQMOpFJbSBAlAACkCBoBQIHEZZFrNvVSui6etsMqMO4MHgocs6A8RyoGDJrOpiGm3KttpmsrRrEtMoM5EqOH4ASiMzyjKjw2hTKlPJoHAhlfH4aD9ekkKnfoyYni+pSP0Q4ZnyudoPk2S7lk9RxfrfKD+C9P2Qbhz2fBJGKypo3fDhyo8b9uivJEq1eYLMqD6TjzqjAbz50QUUgAJQAAq4KhAsjLKMY1+iWbOI+tot01ss4TtZyTKfo4vZ8j1ZLOV6yIKaOxcc31VBDw3yGkaZ3mOLqVLZNlEzbgAt6jqNb90wLqGbfyBk/mAwAqguw9k0Oed4xjzzOuM42taMNICqW0BaJYEUMAoY9fCGRhMoAAWgABQIVIEAYZSBACNRZZ8oOewZdcxamnwzgaMRHLS2pr2fugyapVIi4wckdV7DqJ2GShzaVd2R3CNsgkjLGKltqkYm95oml+AXK5s00vtCLbLehnGslun1zwFGAaMBvenRDRSAAlAACnhWIDAY5cvzNEuFC6cDTAIwaMyGMZ+87PlLHoqyO8QkML5nFV0aAkYtBNKy6BYZTe3AmpWs6UNuVllxCxg1jGMFm/prNuEAkyI69owG9c5HP1AACkABKOBFgWBg1PCFrwzrBKOOy+Q1VFPTTCnvkwZP/SH5lENu2U+nMTyP70U+b20Ao1Y66TLpzYwQmfkjxOr6zCV3ZeLZbOVIZuybAUa9zFjAqBeV0AYKQAEoAAWCUiAQGHXKZGnlmNJA5nCASH/KnZIHl8yHkPSHnDbZtHHMoHoc36KEVLaiA0atlUtn0037gT1kr7VrZyn5+FRG3hJG2W8jLWvPMp/m0k5YpjdHBzCa7Tsd10EBKAAFoEA2CgQCoxkDu9UZTUKncmxeV1fUWNops2STNooeJlWIGU7pk9aslfXeUp2VHsbPRky7awCjNsokM+ozlRqkrxrqjCaX4PVx1f8I4XuSq2gk/6Giz3ba/NBIjVNMj/PatukDTHyerdPmD/aMskgBRoN896MvKAAFoAAUcFOgdmCUW+VQdN7lxLsZNjOK3rst47uNn1QtfZJfrWzq9jdgNK2ANwBn8DiWiiunUdPkjQ2UOxsk64+aSjtRum6t+YeK/u9Ult6wZ1gdp0VlGb3Eitov7kVzuyRLOxnmihFG3eJtft2bz25vydp/HTBa+zGABVAACkCBfFIgHBi1UDAuX9TZTI589B0+ZzNT5LgGMCpHHGAFFIACUCBfFACMRhBpgFkEIkswRFziDBiVYDLBBCgABaBAHikAGI0g2HGBFBGp4LOIWnK1BYzKFQ9YAwWgABSIuwKA0QgiDDCLQGQJhohLnAGjEkwmmAAFoAAUyCMFAKMRBDsukCIiFXwWUUuutoBRueIBa6AAFIACcVcAMBpBhAFmEYgswRBxiTNgVILJBBOgABSAAnmkAGA0gmDHBVJEpILPImrJ1RYwKlc8YA0UgAJQIO4KAEYjiDDALAKRJRgiLnEGjEowmWACFIACUCCPFACMRhDsuECKiFTwWUQtudoCRuWKB6yBAlAACsRdAcBoBBEGmEUgsgRDxCXOgFEJJhNMgAJQAArkkQKA0QiCHRdIEZEKPouoJVdbwKhc8YA1UAAKQIG4KwAYjSDCALMIRJZgiLjEGTAqwWSCCVAACkCBPFIAMBpBsOMCKSJSwWcRteRqCxiVKx6wBgpAASgQdwUAoxFEGGAWgcgSDBGXOANGJZhMMAEKQAEokEcKAEYjCHZcIEVEKvgsopZcbQGjcsUD1kABKAAF4q4AYDSCCAPMIhBZgiHiEmfAqASTCSZAASgABfJIAcBoBMGOC6SISAWfRdSSqy1gVK54wBooAAWgQNwVAIxGEGGAWQQiSzBEXOIMGJVgMsEEKAAFoEAeKQAYjSDYcYEUEangs4hacrUFjMoVD1gDBaAAFIi7AoDRCCIMMIs42bZvAAAItklEQVRAZAmGiEucAaMSTCaYAAWgABTIIwUAoxEEOy6QIiIVfBZRS662gFG54gFroAAUgAJxVwAwGkGEAWYRiCzBEHGJM2BUgskEE6AAFIACeaQAYDSCYMcFUkSkgs8iasnVFjAqVzxgDRSAAlAg7goYYHTZsmWJuDsM/6AAFHBXoLS0lNasWePe0KZFUVERTZw6k05s3JDKysp4qwYNGmTdHy6EAlAACkCB+CqAzGgEsUWWMAKRJRgiLnFGZlSCyQQToAAUgAJ5pIAGo+1LzqKChPIIy/e4fFFno08++g6fs5kpclwDGJUjDrACCkABKJAvCiAzGkGkAWYRiCzBEHGJM2BUgskEE6AAFIACeaQAYDSCYMcFUkSkgs8iasnVFjAqVzxgDRSAAlAg7goARiOIMMAsApElGCIucQaMSjCZYAIUgAJQII8UAIxGEOy4QIqIVPBZRC252gJG5YoHrIECUAAKxF2B4GC0Zhy1az6cVuoVK6mg6sph1Ex5LhNOltCAgi40Xde+pKKaKoex1sZHzbh21Hz4Suq/OEHTLssMyZIBBdRF31H/xZSwami41Pv4ficBwIzIOUaZsVA170+LE9MoHfIaGteuOSlTgT8y54upH0/zwG9009fHJc6A0eDmBHqCAlAACkABdwWCg9ElA6hgYZktBBq+qJPg2soAl0mQyAAI9fl1JSUK6PZKwa3mGocc0sNnElhaOQCp0PjuIrq1iAukuPmpf13vs3uM1Bgr5Gn4scGvW6f9oDHHNTkvUj9gzK97mAciDnloG5c4A0Y9BBtNoAAUgAJQIDAFAoNRBg4Ly6wzl8za9Be1Cglze1lkQRnQdllHFdWVlEqQ8ucUTqkuptHN51Iv/WvEgGQ0FRueUwbTrjFk1TTNBMcPQOq4QIqIFGmfvcTIGkYNceQ/IEzxZ3EeXaz+QLGKuekaNkdHF1tn30V8s2sblzgDRoOYDegDCkABKAAFvCoQEIwywOtLc5Xc5UptnV63RG+AUSuocLA2DRBkAbFZZL8Ex/cqpFO7uECKiBbmHx/DnTLV/EeFdWY09QNHD56p3xUMUKtopPKjoynbyjHXnDm3gVx2PYdX/d4OrdMS448hAafjEmfAqEDQ0RQKQAEoAAV8KxAQjJqXTBW7GPT1JZpl3jPqmLU0+WMCR3XvaCvTPkLTPkETBGcoJDK+b3nVDuICKSJyGH12i5HdntH0vlAeezNs6ufHpmQGXZ8Nt9yOIeKFWNu4xBkwKhZ3tIYCUAAKQAF/CgQEo1ZGGLNSqS9qARjMBBCHTBc3QQc1dodXBMb3J2366rhAioge9j5bxcg6ruqPD+KZyq6LXGC0WeaeY+3QlN3BNxF/vLSNS5wBo16ijTZQAApAASgQlAIhwqi6hF41Ut1Hmvqidlwmr6GammbUjB+ot8+WKceoMw4yGQRxGsPz+EFJjMyopZKGONj9yNA9T7r9oVqHvA91mV49cW+cM/0XV1Px6PQcNNiBZXrbCQ4YDe69j56gABSAAlDAXYFgYNQy22g8uOLpAJN+WZXBB99GqC/tw3hDd8jJamlWByXm09mqHA4HmEJa1o1Lxsx9OqVbuGfC9QDqAUabmsEzORe0A0xWxmXAqogH4m3jEmfAqHjscQUUgAJQAApkr0AwMJoEPC0LqvKgMZNlVdpJWX/V1RU1LrNmlgPSnNTDpHqoaTgZM6XWe0t1IiWh02n87CXNvDIukCKiScYBJscYOSzTp/aJupR2ysh4O/zoEHFEoG1c4gwYFQg6mkIBKAAFoIBvBQKCUU6fxiL2dqfpUyY7FJ13OfFuhs2Mgupuy/gqLbsW3TeXAnL72y4acYEUkdlm9tk5RnZbMgSL3puW3s1F8UVLO7nF2/x6XOIMGBWZ6WgLBaAAFIACfhUIEEadTYnLF3U2guej7/A5m5kixzWAUTniACugABSAAvmiAGA0gkgDzCIQWYIh4hJnwKgEkwkmQAEoAAXySAHAaATBjgukiEgFn0XUkqstYFSueMAaKAAFoEDcFQCMRhBhgFkEIkswRFziDBiVYDLBBCgABaBAHikAGI0g2HGBFBGp4LOIWnK1BYzKFQ9YAwWgABSIuwKA0QgiDDCLQGQJhohLnAGjEkwmmAAFoAAUyCMFAKMRBDsukCIiFXwWUUuutoBRueIBa6AAFIACcVcAMBpBhAFmEYgswRBxiTNgVILJBBOgABSAAnmkAGA0gmDHBVJEpILPImrJ1RYwKlc8YA0UgAJQIO4KAEYjiDDALAKRJRgiLnEGjEowmWACFIACUCCPFACMRhDsuECKiFTwWUQtudoCRuWKB6yBAlAACsRdAcBoBBEGmEUgsgRDxCXOgFEJJhNMgAJQAArkkQKA0QiCHRdIEZEKPouoJVdbwKhc8YA1UAAKQIG4KwAYjSDCALMIRJZgiLjEGTAqwWSCCVAACkCBPFIAMBpBsOMCKSJSwWcRteRqCxiVKx6wBgpAASgQdwUAoxFEGGAWgcgSDBGXOANGJZhMMAEKQAEokEcKAEYjCHZcIEVEKvgsopZcbQGjcsUD1kABKAAF4q4AYDSCCAPMIhBZgiHiEmfAqASTCSZAASgABfJIAcBoBMGOC6SISAWfRdSSqy1gVK54wBooAAWgQNwVAIxGEGGAWQQiSzBEXOIMGJVgMsEEKAAFoEAeKQAYjSDYcYEUEangs4hacrUFjMoVD1gDBaAAFIi7AoDRCCIMMItAZAmGiEucAaMSTCaYAAWgABTIIwUAoxEEOy6QIiIVfBZRS662gFG54gFroAAUgAJxV8AAo8uWLUvE3WH4BwWggLsCpaWltGbNGveGNi2Kiopo4tSZdGLjhlRWVsZbNWjQIOv+cCEUgAJQAArEVwFkRiOILbKEEYgswRBxiTMyoxJMJpgABaAAFMgjBTQYbV9yFhUklEdYvsflizobffLRd/iczUyR4xrAqBxxgBVQAApAgXxRQJ8Z/X96Cy6/8IxZNAAAAABJRU5ErkJggg==[/img][br][br]Verschiebe Latexte an den Protokollanfang! Erzeuge Latex aus der Ausgabezeile des CAS oder aus Variablen (18)! Wird in einem Latext auf Variablen Bezug genommen (18), dann muss der Latext NACH Definition der [br]verarbeiteten Varibalen stehen! Der Zeit kann [i]Formulatext [/i]nur x,y,z und gelegentlich t als unbestimmte Variablen verLatexten.[br][br]Latex und 6.x[br][br]Bei Eingaben von als Latex erkannten Texten erfogt eine Konvertierung von Latex-Formel nach GeoGebra-Formel. Es ist also schlicht nicht möglich Latex als Latex per copy&paste in 6.x einzufügen!
Beispiele für Latex-Kommentierung
Fehler und Merkwürdigkeiten beim Zusammensetzen von FormulaText
Formulatext [br] [br](28) Single Vector √ concat Vectors ⊗[br](29) concat Vectors t ⊗ .. concat Vectors x √[br](30) concat Vectors from Output √[br](33) Column-Matrix √[br](34) Matrix + Column Matrix ⊗[br](35) Matrix + Output of Column Matrix √[br]Formulatext(identity(2)) ist ok, aber[br](36)+(37) ??

Information: CAS: Aufgaben kommentieren und betexten