Chapter 3 Data Visualization
- ggplot2
- scatterplots, points, color, shape
- faceting
Today we are going to try some of the code from Chapter 3 Data Visualization.
To start we will load the tidyverse. Note that ggplot2 is the first package loaded!
library(tidyverse)
We will start the mpg dataset that is in the ggplot2 package.
mpg
Make a scatterplot of highway miles per gallon (hwy) and engine size (displ).
Start with an empty graph and add to it.
ggplot(data = mpg)
![](data:image/png;base64,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)
Add points using geom_point mapping and aesthetic.
ggplot(data = mpg) +
geom_point(mapping = aes(x = displ, y = hwy))
![](data:image/png;base64,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)
Add color.
ggplot(data = mpg) +
geom_point(mapping = aes(x = displ, y = hwy, color = class))
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAArwAAAGwCAIAAADE8iHyAAAACXBIWXMAAA7DAAAOwwHHb6hkAAAgAElEQVR4nOzdeWATZdoA8Hcmk0yOJk3TNm1KL3pRoEC5i5yVS24EpaIcHqDILn6IuLjrgYuLuOCx6+fCIvgVlUUQ0FUQURFK5W65rwKlpS29zzR3MjP5/pga0rQ00ybthPb5/TXzJjPz5Jjm6cz7Pi9mt9sRAAAAAIA7ON8BAAAAAODBAEkDAAAAADiBpAEAAAAAnEDSAAAAAABOIGkAAAAAACeQNAAAAACAE4LvABrR6XQcnykSiaxWa7sG0zKCIAiCMJvNPMaA4ziO4xRF8RgDSZIMw9hsNh5jEIlENpuNx8HDOI6TJGmxWBiG4SsG5AMnhVAoFAgE/J4UAoEAIUTTNI8xiMVimqZ5Pyn4/TKwJ4XZbPb8xJTL5V4JCXiFbyUNFouF4zPZv9HtGkzLcBwnCILfGEQiEWrNm9YeJBIJwzC8vw8Wi4XHpIEgCJlMZjAY+P2d4P2kIAhCIBDwGwNJkojvk0Imk1EUxfv7wG8AQqFQJpPZbDbPEzhIGnwK3J4AAAAAACeQNAAAAACAE0gaAAAAAMAJJA0AAAAA4ATzqQmruPe75r1vsI+MnsAwjN+O4r4wekIoFFIUxeM3GcMwkiStVmsXHz3hCx0hfWH0BEmSNE3zO6yJ9y8DjuPe6qEsFou9EhLwCt8aPWEymTg+UyAQcH9yexCLxbzHIBQKcRznvY80RVH8vg84jptMJh6TBoFAwHZW5/d3gvcvpEQiYT8LHmNghxTx+3spEol4Pyl4/zIQBMEmDZ4ncJA0+BTfShq4f73sdju//0yw/1PyG4NAIOD9SoPdbuf9s2AD4PdKA0KIYRhfeB/4DQDxfVL4womJfOOz4DcAHMcRQjRN8/5ZAO+CPg0AAAAA4ASSBgAAAABwAkkDAAAAADiBpAEAAAAAnEDSAAAAAABOfGv0hE9hKKrgwjV9HS1XCSKTe+O4gO+IAAAAAD5B0tA8mrKd2F1hMj+MECotQsU3zw97TIMT8HYBAADouuD2RPPunL1mMvdzrBpM/e+cv8pjPAAAAADvIGlonq62SUuND9XbBgAAADoeJA3Nk/m7pggyf14CAQAAAHwFJA3NixnYkxTlOFbFomsxg3rzGA8AAADAO+jZ1zyBiBzxOMo99YuhXuCnpGOH9sYJId9BAQAAAHyCpOG+BCKyx6j+fEcBAAAA+Aq4PQEAAAAATiBpAAAAAAAnkDQAAAAAgBNIGgAAAADACSQNAAAAAOAEkgYAAAAAcAJJAwAAAAA4gaQBAAAAAJxA0gAAAAAATiBpAAAAAAAnkDQAAAAAgBNIGgAAAADACSQNAAAAAOAEkgYAAAAAcAJJAwAAAAA4gaQBAAAAAJxA0gAAAAAATiBpAAAAAAAnkDQAAAAAgBNIGgAAAADACSQNAAAAAOAEkgYAAAAAcAJJAwAAAAA4gaQBAAAAAJxA0tASmxXT1xKUFeM7EAAAAIB/BN8B+K68i5LcczJ2OWGwITrJxG88AAAAAL/gSkPzakqFjowBIXQzS1ZXLuQxHgAAAIB3kDQ0r7rENUWoKYWkAQAAQJcGSUPzCJHdpUXQpAUAAADoUiBpaF5otNWlRR1p4SUSAAAAwEdAR8jmSeT0kCl1t8/LDHUCvwA6tr9B4sfwHRQAAADAJ0ga7kuppgZO1PIdBQAAAOAr4PYEAAAAADiBpAEAAAAAnEDSAAAAAABO2itpyMrKeuGFFxyr58+fX7p06YIFCzZu3EhRVDsdFAAAAADtp12ShoqKik2bNtntDYUNjEbj+++/v3z58q1bt1ZUVPzwww/tcVAAAAAAtCvvj56w2Wzvv//+k08++fXXX7MtZ8+ejY+PT0hIQAhNnz59586dM2bMYB9iGEav17PLJEliWCumhmrVk72OPTrvMbB4jMERSRcPAP3+cfAeA78B8B6DL5yYzpF02QAcHwTv7wPwLu8nDVu3bh09enR8fLyjpaqqKiQkhF0OCQmpqqpyPFRRUTF16lR2eeHChcuWLeN+oMDAQG/E6xFfiEEqlfIbAEEQYrGY3xhIkuQ3AISQQqHgOwSf+EL6Qgx+fn78BiCRSCQSCb8x+MIHoVQq+Q4BeJmXk4bMzEydTjd58uTCwkLndudk03HbAiGkVCrfe+89djk6Olqn03E8kEQiMZn4nHZSJBKRJMk94PZAEASO41ara/HKjiSTyWiaNpvNPMYgFov5DQDHcZlMZjQaaZrmMQzeTwqSJIVCoePaIS8IgkAI8dtxys/Pz2azWSx81pDl/csgEAikUqnBYGAYT8viyeVyr4QEvMLLScOJEycuXLgwb948mqZNJtNTTz31r3/9Kygo6PLly+wTKisrg4KCHM8Xi8Xjxo1zrDpfhGgZSZL8npM4jotEIn5jsNvtAoGA979NNE3zG4NIJLJarc7JaAdjf6hsNpvNZuMrBuQDJwVBEARB8BsDi98Y2Eya3xh4/zIIhUKEkNVq9TyThqTBp3g5aXjttdfYhYKCgrVr13766acIoYEDB27evLm4uDgsLOzgwYPDhw/37kEBAAAA0AE6ooy0VCpdsWLFunXrbDZb3759HZ0YAAAAAPAAaa+kISoqir3MwBowYMCAAQPa6VgAAAAA6ABQERIAAAAAnEDSAAAAAABOIGkAAAAAACeQNAAAAACAE0gaAAAAAMAJJA0AAAAA4ASSBgAAAABwAkkDAAAAADiBpAEAAAAAnEDSAAAAAABOIGkAAAAAACeQNAAAAACAE0gaAAAAAMAJJA0AAAAA4ASSBgAAAABwAkkDAAAAADiBpAEAAAAAnEDSAAAAAABOIGkAAAAAACeQNAAAAACAE0gaAAAAAMAJJA0AAAAA4ASSBgAAAABwAkkDQghR5go7Y+U7CgAAAMCnEXwHwDNT9amyc8ut+tsIoYC4JeqkvyIMEikAAACgGV36B5Kx1ZdmL2UzBoRQbe6/a/P+j9+QAAAAAJ/VpZMGU+15m7HIucVQ/gtfwQAAAAA+rksnDTgucmnBcJKXSAAAAADf16WTBnFAssgvxrlFHj6Tr2AAAAAAH9elkwZMIOmW8qVMPRohJJRGhPR9VxE+i++gAAAAAB/V1UdPiOQJ4cP38B0FAAAA8ADo0lcaAAAAAMAdJA0AAAAA4ASSBgAAAABwAkkD0lYRt7KlRTfEDMN3KAAAADoERVEYhmVnZ/MdyAOmq3eEvJwpL73dUJvhZpZs5KxakRRyBwAAAKAZXfpKg66acGQMCCHahl3IUPAYDwAAAODLunTSUFnkWhHSUCfgJRIAAADtp7y8fM6cOUFBQaGhoS+99JLFYnF+NCcnZ+LEiUqlUi6Xjx49+uLFi2z7vn37+vfvL5FIoqOj//GPf7TQ2HV06aRBoqBdWgihnZdIAAAAtBOapsePH6/T6b7//vv169d/9dVX77zzjvMTnnrqKYvFsmfPnu+++85uty9evBghVFhYOHv27PHjxx89enTJkiUvv/zyyZMnm23k6WXxo0v3aQiJtuSc9LNZMUdL975GHuMBAADgdT/++GNeXt7Ro0cDAgIeeugho9F44sQJx6MMw8yZM+exxx6LjY1FCJWUlCxfvhwhdOPGDZvNtnTp0ujo6MGDB8fFxanV6mYbeXthfOjSSQOOo2GP1l46KjfUEgKhPS7ZEBZvcb8ZAACAB8eVK1d69+4dEBDAri5ZsmTJkiUURbGrOI6//PLLp06dOnDgwNmzZw8cOMC2p6SkDB48OCkpaebMmePHj3/88celUqlarW7ayM+r4kmXvj2BEBJLmSGTtKlPVo96vAYyBgAA6HxsNhtB3Pc/ZIPBMHr06GeffbagoODRRx9dt24d2y6Xy0+fPv3jjz/K5fI1a9ZERkYeOHCg2caOeh0+oUtfaQAAANDp9ezZ8/3339fpdHK5HCG0Y8eO9PT0H3/8kX30yJEjly5dqq6uFovFCKEtW7aw7RkZGVlZWa+++urIkSMZhpkxY8aWLVukUmnTxsmTJ/P10joeJA0AAAA6s+nTpwcHB8+bN++NN964e/fuX/7ylxkzZjgelcvlRqNx7969KSkphw8f/utf/6rT6S5evGi1WletWkWS5OjRo/Pz869evbpgwYJmG3l8aR0PkgYAAACdmUgkOnz48LJlyyZMmCAWi+fMmfPee+85Hh01atRbb721YsUKiqJSU1MzMjJWrlz5+uuv79u377333vvoo49effVVtVqdlpb2l7/8RSgUNm3k8aV1PMxu96FBhlVVVRyfqVAo6uvrvXFMpuLq38yVvwlEQcFJb4sUPThuJpFIpFJpdXW1N2JoI5FIJBAITCYTjzEolUqKovR6PY8xyOVyvV7P4zeZIAilUqnVam02G18xIG+eFG0kk8lIkqypqeExBpIkEUIuo/A7mEqlslgsBoOBxxh4/zIIhUJ/f//a2lqadh3Z3lpBQUFeCQl4RVe/0pD/y0NW/W122VBxJHzkt9LAYfyGBAAAAPimLj16wlBx2JExIITsdrr8/Cs8xgMAAAD4Mt+60uDv78/xmQRBcH/y/ehuX3RpYSwVHHeL4ziGYZ7H4AkMwzAME4lci2F3JIFAgOM4v++DQCBQKPicNATDMISQTCbj92afV04KTwgEAt5PChzHEUJsN3i+YBhGkmQLY/w6AO9fBvakkMvlPnUHHHjOt5IGrVbL8ZleuWOHywe4tog1HGNg+zRwD7g9QJ8Glo/0aTAYDNCngSRJfk8K6NPA4v3LwPZp0Ol00Kehk+nStydk6tGkove9dZwIG/Axf+EAAAAAPs23rjR0vOixGTU3/6Ev/5UQqYOT3hLKoviOCAAAAPBRXT1pQAipEparEpbzHQUAAADg67r07QkAAAAAcAdJAwAAAAA4gdsTAAAAOjOaps1msyd74H0Mre/o6u+CzYLlX5LWVQhFYiayt0kVyueQOQAAAO2BYRhPNodqEw5dOmmw29G5QwpthZBdrSgUDZ6sDQiBvAEAAABoRpfu06CrJhwZA6voOp+F5AAAAABf1qWTBqvZ9eU3bQEAAAAAq0v/RioCKZcWJdybAAAAAO6jSycNIgnTe4TOsarS2Lr34XMeBwAAAF0ZRVH8TrfmVpdOGhBC3eItY+bWDJxQP2xG3aBHtAICusgCAEBXwjBIW4faOrFWenp6bGxsUFDQxIkT8/LyvBtas+x2e2lpaQccqFldPWlACInETGA3q1zleqsCAABA54ZfuSD63w2i/90gWveW4PTx1m5+8+bNpUuXHjx4sLCwMCkp6dlnn0UI2Wy2Z555Jjg4OCQk5J///Cf7zIMHDyYlJUVFRT3zzDO1tbVs44YNG0JDQwMCAsaMGVNWVoYQmj17tsViGTJkSLObXLhwYfLkydOnT3/88ce99Q60FiQNAAAAuiKsspz4726ka5hDXPDLATw/t1V7uH379sKFC+Pj46VS6aJFi3JychBCu3fvzsnJyc/PP3z48MqVK/V6fVlZ2dy5c3fs2JGbm0sQxIoVKxBCBQUFa9asOXXqVGlpaXBwcHp6OkJo7969JEmeOXOm2U0QQr/++uuECRN++uknb74RrdGl6zQAAADosvA7rncTsNybqHsc9z1MmjRp0qRJCCGLxbJmzRr2AgBN07W1tbdu3UpOTrbZbAihr776KjU1tW/fvgih1atXp6amIoRCQkJu3ryp0Wjq6upIktRqtc573rdvX9NN2K3++Mc/YhjW5lftoU6YNNgZhLXyAoqdoTC8E74VAAAA7scuELg2CYXNPbHFndjte/fuff3112fOnLl27VqEUFpaWmFh4YQJE+Ry+auvvrpkyZLi4uITJ04kJyezm6hUKrvdThDExo0b9+3bJxQKcRwPDw933m2zmyCEQkNDecwYUGdKGux2dPu8rOgGaTPjgWG2nsP0UoX7ji0W7dXyi6+aqrMIsVoZ+0JgwksdECoAAADeMbEJri2JvVu3B4ZZvHhxbm7uvn37EhIa9lZZWfn888//6U9/yszMXLhw4ZAhQ9Rq9axZszZu3IgQslgsxcXFGIbt2rXr4MGDBw4cCAsLW79+fU1NjfOem90EIYTjPHcq6Dx9GgquSPIuSmxmHCFUXSK8cFjhtlg4QxuLTz9tqs5CCFHmiqqr79QX7uyAUAEAAPDPX2lb+Lw9PBIhZA/VUGnz7aFhrdrB/v37L1269PPPP8fExFAURVEUQig9PX3u3LkMwwwaNEgmk9XW1k6aNOnbb7+9deuWzWb785//vHr1aoRQaWlpVFSURqMpLCzcuXOn0Whk90lRFE3TzW7iCzrPlYaKQtJ5VV8r0NcJ5AEtXWww116wGe44t+iK9ykin2iP8AAAAPgae0SU7ekX2rz5b7/9lp2d7aisEBgYWFVV9eKLL2ZmZmo0GpFINH/+/IcffhjH8Y8//njq1Km1tbVDhw5l+zwuWLDg22+/jYqKio6OfuWVV9atW5ednT1w4MCxY8cmJSVdv3696Sa+APOpybuqqqo4PlOhUNTX1zu3nN6n1FY1yoEemlnnF9DSQEpj5W9Fx2Y5t8hCxoU/9BWXACQSiVQqra6u5hhwexCJRAKBwGTisyCVUqmkKEqv1/MYg1wu1+v1PH6TCYJQKpVarZbt9MSXpidFB5PJZCRJulxl7WAkSSKELBYLjzGoVCqLxWIwGHiMgfcvg1Ao9Pf3r62tpdta/8AhKCjIwz3QNO34P75txGKxsPXdHTqlznN7Qh1ldV6V+dMyfzelF8QB/QlphHOLX9gk70cGAAAAdAqdJ2mITjJG9Gz4n1uppvql1rsdQ4ETft2GbCUVvdjVwB4rlNHz2zVIAAAA4MHVefo0YDjqmWJIHGJgGIx7NWhxwIDosUcZSo8LpK0eqQkAAAB0JZ0naWBhOBLgrb63jRN+7REMAAAA0JnA/9YAAAAA4KSzXWkAAAAAnOE4LhKJPNyDt4J50HW2pKHwmthiFITHmyX+no7z8XGMnS4yXGYQHUzEEhjpfgMAAOiSMAxjx+ICz3WepMFQLzjxbYCdQQihO5clYXGW3iN1fAfVXmosxRtvPnXXeBUhFCzuvjhua6SsL99BAQCAL6Jp2mw2e7IHkiQJovP8XHqi81xyOfODP5sxIITsCBXnklZTk8lIOotdBa+xGQNCqNKcvy3vD/zGAwAAvozxjE9VQeRX50kaKIvraym80WmvR+XqzjivlhhzdBTXYpoAAABA23SepAE1mSzUj8Mslw8oiUDutgUAAADwrs6TNASGNSojjeEoNIbP+vPtaoS6UeXK4cFPQV9IAAAA7a3z9OwYML7+7C+KmhIRsiMhyQycpOU7onY0UbNMLPDLqt5LI6qP/4SJYcv4jggAAEDn13mSBoTQwPF8zurWkTAMHxPy3ISIF3mf5RIAAABfKIry8/PzcGxIq3Se2xMAAABAG1CWKuQYfQdaBEkDAACALkpb9N+c73td+zbm+vc9qnM/a8Me0tPT4+LigoODly9fzo7M/OKLL+Li4jQazcKFC3U6HULoypUrqampK1euHDly5MSJE7/55pu0tLSIiIhNmzYhhLZv3/7CCy+kpaUNHz583LhxBQUF7J43bNgQGhoaEBAwZsyYsrKyZg83e/Zsi8UyZMgQ77wdHEDSAAAAoCuy1N8sOL7AaryLELKZyouzX9aXZ7ZqD5cuXVq9enVGRsbly5cPHjz4ww8/XL9+feXKlfv37y8oKDCbze+++y77zIyMjEWLFmVmZlZVVW3evHnnzp07duzYsGED+2h6evqbb755/PjxyZMnL168GCFUUFCwZs2aU6dOlZaWBgcHp6enN3u4vXv3kiR55syZ+0XodZ2qT0OHYSh9Td6eWkZvl/SRqAa234Gq9VfPZaURVr09MPnhQf91fqjOWnq1+hCDqATZqBBxbPvFAAAAnZK+/IhLi670J7+QUdz3sGfPngULFoSHhyOEtm3bJhaL9+3bl5aWlpiYiBB67bXXnnzyyXXr1iGEEhIS2MakpKSUlBQMw5KSkoxGI7ufUaNGJSUlIYSWLl26atUqi8USEhJy8+ZNjUZTV1dHkqRWq232cJ6/Ca0FSUOrUabSwsxpNmPDFaSgnn8KTHy1PQ6UV/G9+fhzkeyK8fjxcs3wKaUND+mz1l+d7Hjm4vitA1Uz2iMGAADovFyrBmO4sFXbFxcXO24NpKSkIIS+/PJL9kcdIRQREVFa2vBHWy5vKKWDYRi7jGH3igtpNBp2QSwWKxSK6upqtVq9cePGffv2CYVCHMfZfTY9HEVRrQrYc3B7otWqc953ZAwIoarr622m4vY4UGnWEudvdJCVOpWzkl3eU/CW8zN3F7xhR1DlFAAAWkERNsGlxT98eqv2oFary8vL2eWsrKzjx4+HhoYWFzf8IhQXF4eEhHDZT1FREbug1Wp1Op1ard61a9fBgwcPHDiQlZU1e/bs+x2uVdF6BSQNrWauv+7SYq2/0R4HklE2lxZd+WF2IU+f7dxeZy3TWsvbIwYAAOishLLImNR9koA+CCFSHhc1/AuJakCr9jB9+vRt27aVlZXV1dUtWbKksLBwypQpu3btun37NkVRf//736dNm8ZlP5mZmUeOHKFp+u23354yZQpBEKWlpVFRURqNprCwcOfOneyNjKaHQwhRFEXTHVf+GJKGVhPJol1b/Lq3x4HMAtdLZ+KAZHahm7SXc7ucCFIIg9sjBgAA6MT8QkbHTzze94n6HlPO+UfMbO3mw4YNe/nll1NSUhITE0eMGJGWltarV6/169dPmDAhMjISx/G33nqrhc1nzZrFLjzyyCNr167VaDSXL1/+5JNPEEILFixg84Z58+a98sorhw8fzs7Obno4gUAwduxYtj9Ex8B8avKuqiqusy4pFIr6en5KOVnqc+78OvJeJJFzNQM/bo8Dnb+9QXppvWPVgGMDZlSwyxdrf9x0c4Hjocej3hkbuqQ9YnBLqVRSFKXX63k5Oksul+v1eh6/yQRBKJVKrVZrs7leHOpIPJ4ULJlMRpJkTU0NjzGQJIkQslj4LCGvUqksFovBYOAxBt6/DEKh0N/fv7a21vN/goOCgjzcA03Tji6HbSMWi4XC1nV34G779u0ZGRlbt25tp/17F3SEbDVSkRgz8ZyheCdG12N+/RXdWp2cctQ/9tWrZGDV5bdI2qaXBY0YccLxUL+ASX9JOnSu7jvKbu0tH9/Tf3Q7xQAAAAA4wJWGNpJIJFKptLq6mscYRCIR72Wk4UoDgisNv4MrDSy40oDgSkPnBX0aAAAAAMAJJA0AAAAA4ASSBgAAAABw4uWOkHa7fdeuXT/++CNFUb179162bBlb+ur8+fNbtmzR6/UpKSnPP/88QfhKB0w7Y6m9vcVUfUZABqliF4sUPblsZdFerrr8hd1WSygGKmOew3BRO4V3qe6nbwrXmKi6brKkZ2M3+RGqdjoQAAB0VhiGedgjAcfhH+wGXv7xvnLlyk8//fTBBx/4+fl99NFHX3/99XPPPWc0Gt9///3Vq1dHR0e/++67P/zww4wZPlLz2H735HxjRUP5ce2dL6NSfxUr+7a8janmbOHRR35f+85YebzbsC8Rwlrapk0u1P7w75tPN8RWd/jNi0M29L9GtFuCAgAAnRKO47xM09ApeTlpUCqVK1asCAoKomlao9GwHdrPnj0bHx+fkJCAEJo+ffrOnTsdSYPRaDx48CC7nJCQEB0dzfFAXvkSmGovOzIGlu7OVmXKpy1vVZ6/xXlVX/YTshSI/RM9DKap7+6+67xqorTntN+M0jztaCEIAsMwfk8GHMcFAgG/MbAB8Dh6gv0vhB3MwlcMyAf+MgoEAt6/kOxVTOeq/h0PwzDeTwpf+DIghEiSZBiGxzBYNE17OKBGJBL5zgVyfnn5XYiIiIiIiPj1118/+eST0NDQDz/8ECFUVVXlqL8dEhLiPK6yvr7eMXPowoULly1bxv1Yfn5+HkZrrXEdMEmbS93ulraUurQQ9mrPg2nKQLkOXau05TU9EDvGjEc4jvM+GMkXzmeJRMJ3CF44KTpHDLwTiUQiEc8XBX3hg5BKpXyH0MDDkZ8+VZuAX+3yp3bs2LH9+/ffsWPH5s2bly9fjhon/s7vvlqtPny4YT4FkiS5lz2Qy+U6nc7DOG14pEuLwC/JbQyEPAmVn3BuseJR7VGwIYSMq7c2KlwRJx3tfCBfqNPg7+9PURS/Q9L9/PwMBgOPZ7VAIFAqlfX19fzWafDKSeEJqVRKkmRtbS2PMfhCnYaAgACLxeJhYQAP8f5lEAqFCoWirq7O8zoNgYGBXgkJeIWXk4ZDhw4RBDFmzBiVSjV58uT33nsPIRQUFHT58mX2CZWVlc6VOnAcVygUjtVWfcs9/5EgxGHqPu9UXH6TXSX9k1Q9lrvdbWDCK4aK36za62w3BnW/93BRUHv8Yj0Xt3X1pSEWuuFPTy/lwz38hjsfyP47rx+6tXiPwRfeBx+Jgd8AeI+BPTq8D7wH4PggeH8fgHd5OWkgSXLnzp1DhgwRi8VHjx6Nj49HCA0cOHDz5s3FxcVhYWEHDx4cPny4dw/qiYC4JbLQCaaaLKFYLQkaieHu3xABqYpO/ZXSnsLtOobsJWwyf5W3KEUhHwy4dajs31Xm/AGB03r5P9xOBwIAAAC48HLSMGLEiJs3b7744osIoZ49e7ILUql0xYoV69ats9lsffv2nTp1qncP6iGRX4zIL6ZVm2C4UBE2oQPKSBO46JGwl9r1EAAAAABHXk4aMAx77rnnnnvuOZf2AQMGDBjQunnKAQAAAOBToGAFAACALs3KdFx38itXrgwaNKjDDud1kDQAAADooi7WHFx1pt8Lx0JWnE48Xr7Duzvfv39/q6bobO3zeeEmaXiwOr4WXpMc2xuQsVN1OVNuMXHKhy7f/XTlqZAXTwf/4XTwp9nDOB7oywNzlv3cd/6+kHW/TrtwYi2XTarrzx87nHzh+5CsH7qdubiY44Hqi3bn/zoq90DP4kQlZ2kAACAASURBVJPzrPo8RzttM577776DW2p++Hft6d2/mOvLOe6wk6m03Nl0c8GLRyPWXBp5snIn3+EAAB4kFaa8f1yZU2HORwjVWkq23lhyS3uyVXu4cuVKamrqypUrR44cOXHixG+++SYtLS0iImLTpk0IIUe/N7vdvm7durCwsPj4+F27drHb2my2Z555Jjg4OCQk5J///Kfz87/++uu4uLi4uLjY2FgMwy5evIgQOnjwYFJSUlRU1DPPPMPjwGY3v6y9e/deu3Ztfn5+x0TjiaIccc5pmbFeYDXhpbfJC78q3CY8Ruvdf999XY8xdoRohM7RuV+en+D2QF8fSDseeKRelGcWVBb4nfqK+sFSf7vlTSjanHtsRrC2WEIzCqvVP++/Z6+4796oL/u5NHuptf46banSl/1UfPJJ5vfhl+f3H66qfYZioikmXKufe/aHO2731vnYGPO/bjx5sfbHeltlsfH653nLztf8wHdQAIAHxuXaQy4t56sPtHYnGRkZixYtyszMrKqq2rx5886dO3fs2LFhwwaEkEqlGjp0KELo559//ve//33ixImsrKyff/6Z3XD37t05OTn5+fmHDx9euXKlXq93PH/OnDm5ubm5ubkrVqwYPXp0nz59ysrK5s6du2PHjtzcXIIgVqxY4emLbys3ScOTTz751VdfxcTEDB8+fOPGjc7FHH1NaV6jwojaSsJY76amb+btd+jG1WYvmi+5PdANcaNiElry1omT61repKz6V6Wl0T0zS/GPbg+kK9rrvGrV3zZVn2GX6+tTnR8ymKdYjK7lIzu9O4bzZaZbzi1nqvbwFQwAoBNoQwHyhISExMREDMOSkpJmzpzJLriU9vruu++WLl0aHR2tVCpfffVVtpGm6dra2lu3bvXq1ctmszWt4JmTk/POO+9s27YNx/F9+/alpqb27dtXKBSuXr362LFjbX6NHnKTNLzxxhtXrly5fPlyamrqhx9+qNFopk2btnPnTn6LnTWLoVw/bLpJiwuT1fUKD425L5NOYa5V/yx2N+XnLDbXA+GM+9KBDO3aN8f+e4sduVaVp416tzvsZKyM65ewaQsAANxPn4BxLi39A6e0difsTM4IIQzD2OWmmUd5eXlUVBS77FhIS0ubP3/+hAkTYmNjN23a5NIZwGazzZs377333mOnZCouLj5x4kRycnJycvLUqVNVKhVfnQc43fhPSkr629/+dvbs2f/5n/85cODA3LlzQ0JCFi1aVFlZ2d7xcRfYrdHPsERO+ympljd5KHK5y2cbiandHijCEuC8KrN169fjGTebqKfqG0+OwKj6uT2QVD3GpUUSOKRhgTzl3E4S2dIg15LYnV60bICKDHdu6a0cy1cwAIAHjloSs6LP3lBJHEJIRYYvTvw0TjG0PQ6k0WiKiorY5eLiYnahsrLy+eefLykp2bJly9q1a8+dO+e8yZo1a7p167Zw4cKGUNXqWbNmXbhw4cKFC6dPn/7qq6/4mpXNfdJQUVHx2WefTZkyRa1Wf/HFF4sWLfr555//85//3Lx5c+DAgZ7XFfeW2GRjaPeG//ilCrrvaB3ubsbBkICHJkjG4r+na4GM6A8DT7W4BUIIPTXig1jdCHbZzxYxXt9H091NrUaRUOnff53u91mdKpWRQwa576Yb0P3pgNhF7LJQGhH+0FcCUUMN9n4TwiWiow07F1xMGuG7t43aj4wImNf9o0BRBLs6Ur1wTIhrgRAAAGhBn4Dx6waf+3RExQdDrz2kfqKdjjJz5syNGzfevXtXr9ez8zgihNLT0+fOncswzKBBg2QymXPfxpMnT27dunXLli2OzGDSpEnffvvtrVu3bDbbn//859WrV7dTqG65Ke40evToY8eOhYSEzJo166effho5cqRj8t/Ro0crlcrbt2+zc17zDhfY+47R9Rymp6y42I/mmIQ92nfnFEqfU/y5JiAlWDGQyyYSv4hXx31bfOfHqtKsuAEvyqTBXLaKC3/aHjavQntKJo7oIYniFByGq/uuC+r5F9paRUginEtcy1RRI59CpuosO2OVBvdAqBunHXY6vfzHrEk+YyFqcJtEjMv5DgcA8EAS4l6eRnzWrFnOq2PHjl28ePHQoUOlUumf/vSnQ4cOIYRefPHFzMxMjUYjEonmz5//8MMPX7rU0Klu48aNJpNp1KhR7Or69eunT5/+8ccfT506tba2dujQoenp6d4NmDus5fsiL7/88mOPPTZs2DAcd70mQVFUdnb24MGDHWmE57h3tFQoFPX19d46bhtIJJIOKCPdMl+Y5VKpVFIUpdfz2aNCLpfr9XoehwcTBKFUKrVaLb+zXPJ+UshkMpIka2r47JPrC7NcqlQqi8XC79SvvH8ZhEKhv79/bW2t51ejPS9dQNO0h/3wxGKx8PdLxV2cmysNM2bMGDx4cNOMASFEEERKSkr7RAUAAAAAn+OmT0NqampQUNCsWbM+/fTTwsLCjokJAAAAAD7ITdKQn5//ySefqFSq999/Pyoqqnfv3itXrmTvx3Rx1XUFV28dtdnMPMZgNmDGen460LYTA1VTac5n7K24nknbbaXGW0aqzlsx1FiKayx3vbU3AADoTNzcnoiOjo6Ojl6wYAFC6OrVq+++++5HH330wQcfPFjlpb3LajN+fPz5XMlPCCGZLWK2cuVDSU92cAw2M34xQ15TKkQIyVWivmN0Mn9fGcbSNlbGlJ679HztfoRQiDj26dh/dfdz3y/1mvbIf/JfqbYUIYRGqOc/Gb0Bx9rew6bGUrz19uI8XRZCKMZv0KK4LS5DOgEAoItzc6WhrKxs9+7dy5Yt69evX1JS0tGjR+fOnfvpp592THC+6auTf2UzBoSQQVi0R7u+Xt/RUz9cPyVjMwaEkK6GuJz5wA8c2H93PZsxIITKzbe35j5P2910KtTbarbnr2AzBoTQsYovj5Rv8SSG7fkvsxkDQihPn/1l/nJP9gYA8BEYhgk902zHvq7JzZUGjUYjEAgeffTRZcuWjRkzhp08o2Mi81n59kalpo1E8dWCI8N6t9cA32bVlDXqx1tfRVjNmEj8AF/+uabNcF6tthSWmm6ES5Na2KTAeN7lPsK1uiNjQ5e0LQDabrumPeLccl17lLJbCUzUth0CAHwEjuNisZcHVXZZbpKGJ5544tixY/v27auoqLhz587IkSOHDRumUCg6JjjfRNhJlxaJUNbBMTQd5Spw80n6OhEucWkhcTfvqgiXum4iaPsHgSOBHxGop+6NoZUTQQJ3JwgAwPfRNO3hKFyRSEQQ8NcAIbe3J7766qvCwsIbN24sXry4qqrqlVdeUalUAwYM6JjgfNMA2b3JouwIKa09enXv6OrFmthGJ0BItEVAPMCXGRBCQ4Med16N8RscJI5ueZNoWX+NpFFhMZedtAqG4QMCpzm3JKsmYxhckwSgM6A905W78blwnzphGObn5+fn5ycWiwmCYBiG38IpvJs8+H8sp4ynbPssuDbUmvRUz7+IhK7/8ra3mGQDwuxleWJkx4LCLXED+Swj4xWjQp6m7bbMim1mWpeoGDUrcjWG3NwIE+LiP/b4ak/h6jz9GbkweFzo0n4BkzyJ4fHId8S439nq7xBCAwKnTwtf5cneAACg83FTEXL58uUZGRkXL15UKpXjxo2bOHHixIkTIyIi2ikaqAjZKlARkgUVIVm8nxRQEZIFFSERVITsvNxcaTh58uT06dM3btw4ZMgQuKMDAAAAdGVu8oDTp09bLJbS0tK7dxt1U2dn+AYAAABA1+Emafj6668XLlxoNrvWPYReIQAAAEBX4yZpWLVq1eOPP/72229LpR3d18+X0ZQt7+wN2mqXhyr8Q8M4blVee6y45BuRKDgx5iWC2+BAG206fuNVs6kwXPNoUtgzjWKou1tx8VPGbvVLmCcKa6meAS+s9dfNdRcF4lBZ8CjEbQyCnTYbKo4wlF4amEJIufabKTPdOq+/KqLliYrRAszTO2gGqian/jeEUKJipIxQebg3AMADgUF23F3Pa8By80e2urp61apVMTExHRPNA8Fcrz31vd1qG86uRsX+0mNUf7dbZV1eqsjdzWYK529+Ej/6V6VfYsub1Brzrh4eprExCCFUeHJf8L+njTjNPmS4+l3xzRfsiEYIVZ7+LFT9mv/wV9r8iryu6vp71TkfsMuSwMERw/diAtcyDC4oU0nRsUet+jx2NXTgJ/6RaW4P9HPpJ98U/pVdjpD2ebnnt1LCv81h5+mztuYurrEUI4RUZLfn4j6N9RvS5r0BAHzfkfqSPxdnXzPVdSflb4Ulzw7o7sWd79+//+mnn75fB/+WH/VZbv4FHDFixI0bNzomlAfFtcwCqy3OsVpwe7yxzk13cZ3pjiJ3t2NVYbVeOfdMC89nHcueFcxmDAghhBIq826Ufc0ul914mc0YWOXlGzgG3wEs9TmOjAEhZKrOqs39t9utKq/+zZExIITKzv6Rodx0Pq+2FDkyBoRQkfHywZJ/tD7ee/6Tv5LNGBBCNZbi/+T7UB4GAPC6Aqt+Ru6ha6Y6hFC+RfdM/m9ZhspW7eHKlSupqakrV64cOXLkxIkTv/nmm7S0tIiIiE2bNiGEHCPsLly4MHHixLfffnvatGm9evXKyspyfvThhx/evn07u8Ply5e//vrrCKENGzaEhoYGBASMGTOmrKzsfjvpeM0nDcd+9+yzz7700kvr1q375Zdfjjnp4Ch9il7nOv6nttjN3BNllYdQ404gQn2x2wNJjRUuLQXl37ILFKZzbrdjtLXkEvIN5jrXSMx1Fzls5focq85NtnrXeMWlpdDg/kD3Q9mtxcZrzi0lxhwbw+cspgCAdvWL1vXv8P66otbuJCMjY9GiRZmZmVVVVZs3b965c+eOHTs2bNiAEFKpVEOHDmWfduTIkYkTJ+7bt2/+/PkffPCB86MzZsw4cOAAQshut3///fdz5swpKChYs2bNqVOnSktLg4OD09PT77eTjtf87YkxY8Y4r7755psuT6Aoqp0C8n0kWe/SMVSm9Gt5E4WiV13j+2U2kftS3GahFJm0zi3+8oa+C5hdZMeszg8RQfFud9gxhBLXTh6CJi3NbCXtZtXddG4hJG5mmAwQue42gOzGIcDmEZhIKQqts5Y5WvyFIUIc6tUD0GnRyLVHP2Vnmn1mCxISEhITExFCSUlJKSkpGIYlJSU1LQsRFRU1bNgwhNCgQYOOHz/u/NCMGTPWrFlDUVROTg5BEH379rVYLDdv3tRoNHV1dSRJarVatzvpMM1faaDc6eAofUpMcqMSH3K/U8pubnrthSgfqvRv9HsW2sP9pe+IhNfYBfZ7XUwSg6NeZVsC/GY7P1MmGIKL3HQa6DCSwBSJqlFXgICYRW63Coj7g/OqIvIJQqxueZMIWd9e/qnOLW2erYo1XvNH59UJYX+83zMBAJ3Aw3LXfzwm+be6dKFc3jDJMIZh7HKz0zqqVCrH01weio6ODg8PP3PmDHuZAcMwgiA2btyYnJw8fvz4W7ducdlJh4F6Ta0WHBM7UHC24LKesooVQfXxD3EauZAy+sS5y8ts1WfsQr/w+BXRGvezJPSNWHRVILqT847IZrIoIlMHfIMLGmZcDJ7wseh4VE35fxCi/ZQTglP/7tFL8ioMJ8JH7K67/amp5pxQ2k0Zs1jk574jrUw9OnL0j9o7XzK2eql6tH/UPPcHQtjSHl8eKfuswHxWiqnGqJ8Lk7rpW9qysaEvBIoiztZ8hxAaqJqRrJrsyd4AAD4uXqzYHjPmz3eziqyGEKHkz5p+I+Qh7XSsln/m2TsUhw4d+vTTTxFCu3btOnjw4IEDB8LCwtavX++osuoLs0xD0tAWgVFR4YmtKyNNCKRDkj9r7YF6hy3oHbag2Yf8h78SLPoz72Wkm4ULpKqE5a3dSqIaJFENatUmBEaO1yz1YhnpZNVkyBUA6DqmKyOnKyNrKEsAQfL4gzxjxozHHntMLBb36dMHIVRaWhoVFaXRaAoLC3fu3DlixAj+QnMFk/gBAADo0lTezhhmzZp1v4dEItHUqVNdGgcMGEBR1GOPPcZeS1iwYAGbN8ybN++VV145fPhwdna22510DDcTVnUwmLCqVWDCKhZMWMXi/aSACatYMGEVggmrOi+40gAAAAAATrp6nwa7na4v3G2uycLJQGX0AqHUzTA/VtnNywUXixhKLPOvT5owFec2/2fOKb/qEiFB2uP6GwLDOP1LWmctzaz4vN5WEeM3aGjQHOcyyVlHb+jz4+x2gTg496GpcS3shIs7FQd25L2kZ4zdBKHP9T8kFnGqoHzo+Gi/2hsMjtsjpw9PulfBycoYt+evLNCf9xeq06LXdZP28jC8+2Hs9Onq3YV3z0uQckTwApXTkEuttfSLvBWVlvwwScK8mA/9CE7/rJwvyD5dug9h9qGh0/tHcepgQVNY0XXSakBCKRkWRxEiH7p0B9zCbDbhxbN4VQWjCrL1G2gnSR5iMOiFF87i+no6tJstqR8SCDo+BgA46uq3J0rOLNYV/9ex2n38SZGfmx/gwouncs7du5kkI78d/uRItwc6/m2Aoe7e34I+o3WaGDdXUKssBW9cuPe7laya/EL8NgxhCKHMb/PNdYMdDwmJ3NT5Srcx3M+t8m8+uvOCY3iy2I59OKgQJ9yUKDj6Y0SoU8GKwpCk8Q8dQQgxiFl1tpeOarhxg2OClT1/iJEPbHN4Lfj01nPnar53rP6136kQcSxCqM5a/saFAZS9oZSFEBf/vf9lKeHmLTpwde/3+nuDNqfK/jU1aU7LmzA0dnq/v66mIZmT+dNDp9URQn7OKd6vSD9wtycwipJs/0xQ2VCcjQkMMs5bZBeJPIyhVbcnsHqt7KttWH3DQHyqe6xp9pPI407yvH8Z4PZEZ9Wlb09Y6nOcMwaEUPWNj91uVXS1UZkKg+XRkmvnW95EW0U4ZwwIoZvZ7ies+qX0X86rF2oOOCoeWmsHOD9ko+Ks1ka1nlplZ94K54ImZsy+P8dNZYV6S2Fo4xJXoRUN9RmPlX/uyBgQQoyd3lW4qs2xtaDYeM05Y0AI/Vzyv+zC7sI3HBkDQsjGmJ0LTt/PIe27zquHtevcblJ+R+TIGBBCBq2gJBfqQT0wBDlXHRkDQgivriKutr2oaNuIzp1xZAwIISL/tqC41UUJAegwXTppsBkKXFooo2tLUxTtWg+kvqy05U20Fa4pKmV2/59EpfnO/VoYzPUCZnG+mxhaUI9ciyWXmNyUcM4t3uHS4vjvushw2eUh5zKLXtT0/amyNHx81U0eKjffbnlvNtpmFBQ6txiJuxabm39YTTrXD8JY36XPqQcLrq1zbamr7fAYXI+IdXgMXYHAMzgO53WDLv1GkP6utYBECvd334XEHZeWoGg3xYtUTXowiKTui5U27QrgaBHYG13twOz2qIRWFzJzCMTkLi0JiuEtb9Ir4kWXFsvvX6UEpeuQYjXZLrOkdpP2bNLS8P6ES10rbkXLB6AWCQVCha2Hc4uCSiCFbu5wywJcq6PKVZ5ejAUdxh7sWnWUDm6v2j73Qwe5xmBXd3QMnZ5AIJB6RgAdTX7XpZMGoTRK1eNlx6rILyYocYXbrXo8FEHg+Y7VAL/0oBg3hQj9lFRQ+L2r5RiO+ozStfB81kTNS6GSezNKjNcs1UgS2GV51GnnZ4r9z+NY2z/Kxb2/de7JqWJED/dwM12kWOhfqLz3p41BSBf3KLs8WDUrTHLv51yIk8/GbWpzbC0IFnef1O1eCSm1OGZSt4ZPc070Wqng3hzZcmHQo93ecLvDWZpG9yNmhb7ndhN1pDU44t4nGxBi08TCHFcPDFt8IhVzrw8THRlN9eRU4NWbMQxKYZxyF1v/wbQ6tINj6PQYhjF6potPnuCsq3eERAiZarJN1WcEZJCi2zRMwGkGB2Nt9a0Txxgb5h/mHzNkNMcDleaR5fmkkLTHDjCIOVxpQAjZGPP5mv1aW0WMfFCsX6MJHfJvFxSdkdgZIqhnTe8Bno6eMNsqd156vJqq6CEbPDXpc45bnb7xJ2PhN7SAiO71Tlxoo8LYR0o/vVZ/NFAcOTPidTHuZkIvT+Tpsu7aLpF2Rf+AqSL83sfHMNS+4r8Xma5GyZKndFuJc8uPS2qLTxceRggNjXw4LIDr9Fe1pRLKJBOQxoAwI49lXnnv+/bAdYRECCG7ncjPxasqGVUgFZvgeQ9E1Po6DRhNEzevY3odrQmjw6M8DwD5wJcBOkJ2VpA0tBEUd2JBcScExZ1+90AmDe0AijshSBo6ry59ewIAAAAA3EHSAAAAAABOIGkAAAAAACddvYw0bamsuvaeqea0gFQHxC3xC53Ad0TcUFTFt89qsaMIY6RUv25TdiA/hSf7q729ufrGhwylF4rDQgf9S6Ia4nYTK2P8seSja9eOCDFyaGDaCPV8tlolQqik4uA3N18swQwKhhgX9NSgnhs8ia0F9baK7+++l2/IlguCxmpe7KMc78neGAYVXJGUF5AIoZAoS1SSCcZm86XQcOmH4g0V5vxQcfz0iNc0kh7ut3lgCQrzydMnMH09HRpmGT7GrvB3vw0APOnSSYOdsd09Mddcx9aAu2Gs/C38oa9lIak8h8VB6Tdz6oW/sct60emCA2Oj5mS1eW/1hV9XXGoYkWg13CnKfDTmkXOE2M1g8S/ylmdXf8su59afsTKmsaEvIITM5uJ/3VpQLbQjhGqQbWv9NtEtZd/419sc3v1QjPV/c54oMjbUksqp/+2lxN29/Me0eYe552R3LjeMv6ivIqxmvMcQPvuydVlVloJ3r4xll0tNNwqNF//U+0d/YeesXoCX3JXu+rJhuapSUFpsnL/YDn3uOqk9e/b897//3b59O9+BtJ1vJQ3cC2hgGOZ5tQ2T9oKp7qLzEKv6wv8owsZx2ZYtEMZXxQ+d4KTzqll4BzMZ8LZebKjJbVRHwW63avPT1Ukt/cybaZ0jY2Adq/hyQrelCKELt9+rJhoNZDhRnt4/8a22xdaCO8bLjoyBdbJqRx/V2DbvsCS3USmn0jxxr2Gcii6wXwYcx/mtAOOVk8LDAJA3ToqzNd85r1Zbii7VHRwT+iyXbfk9MR24fxaia42+w3h1lbCkiI6Jv9/zvR5AO/GRD8Ktk/XM6/lUts7eW4a/FSWYpPLC1cX9+/c//fTT3AcDPlh8K2kQi7nW7cdxnPuT78eKDC6Dsu10PcfdEgSBYZjnMbQR7jqKidBViZqUluPITjepNEVVtfzSDOZKlxYTrWU3MVJNHkLW9nijbE2GtJkZrh9fUwyNrKZGfy+sJkxIiAUcThH276NIJCK4zXfaTrxyUnjCWyeFFbmO4LUgHcfdsr9S/Bb9xTCMIAiOAWNW19GhQooSevwe8v5lYD8CkiQZhlNNGl7ctaCJlxqGSV81MGnXmMxkUbJfK2p1bN++/bfffqurq7t7965EIvnss8+ioqKcR+Onp6evXbtWq9U+9dRTH330kWPDEydOpKWlHT58uLi4+G9/+9uhQ4eQ03WIZnfrvdftEd9KGriPbBYIBF4YBi1xreQoDhjGcbcSiYQgCL6GYhO2IJvw3m8zZidt6qimP6IcSVRDrfpGk25IQ6e3/NLESKUWx1SY8xwt8fKH2E0SQp5ABb86PzlGlNAeb1SIwLWMdIw0xZMDBYQQteX3LgsrQ2xmiwFxGPBPEARJkmazmd86Dd45KTwgk8lwHPc8hmjJYJeW7pIhHHfrC3UaSJK02WwcAxZquomvXnJuMQWHMB6/h7x/GYRCIUmSRqPR8zoNEgmnmntt8HOta2zfVdPJfq37WUxPTz937lxSUtKHH364ePHin3/+WaVSDR06FCF06dKl1atXnzhxgiCIMWPGjBvXcBn75s2baWlpX3/9dXx8fHFxMcfdtv71tYsu3dFLIArsNvT/CEnDBFTysMkB8X/gNySOwvtuw5mGfyMwOxEe+qEnewvt/0+hrLtj1T9yjiR4lNutnondGEhGssvRfv0fj/pbQ2yhM2cKUhxP622VTRm4z5Pw7kchDH4+/rMAUcPH1181ZbxmqSc77D1C76ds+CMiU9K9h/NZsaor66McPzHsJcfqjIi/uJRD7Uxs/QZSvfo6Vs2TpjPQEbKjWJsUhLO0/rLIqFGjkpKSEEJLly49cuSIc8K6Z8+eBQsWhIeHh4aGbtu2LTw8HCFUUVExadKkJ554YtiwYW3bLb9860pDx/MLmyYNHmPRXSdItVAWzXc4XIkSh8TH5VvOHkCUUThgKi7xrE4zTsRMOGOqOWOpuyrVjBNJOM191d1v4F/7ndDiRbhdqLRHYE6TXzwyaN8w/bX84l3qgMFh6qkexdaiAarpvfxTa7ECEaUIFEV6uDepgh42o1ZfRyCE/JSUB7N5AE89GvHmw6HPV5nvqCWxcsLTgoA+DcdNU2biI1MxXT0TGGzn9Z5CVzPG3/UknxDQ6tNeo9GwC2KxWKFQOJcJLi4uHjKkId9NSUlBCOXm5v7yyy/Lli37/PPP33rrLbm80WSBzmVtm+42LMx1gmVedPWkASGEC+VcRhj6HIKQj3zMi2WkJaohrX0fCIyM9R/UbBlpf79eyT3+6pXAWiYWyBPkw7xVRhrDkVwFM9P4BH9hSGcdMdEUo/BHcIGhwyVKsc96CF/Pp8qsdoTQezHEGGWrk4aioiJ2QavV6nQ6tVpdUVHBtqjV6vLycnY5KyvLarUihGbNmvXxxx/fvn17w4YNa9asQQg5un2UlZW1sNu2vUavg3+mAAAAdFGPB+PXB4uuDxZVDyeXhrVlrEdmZuaRI0domn777benTJni3Bt6+vTp27ZtKysrq6urW7JkSWFhIfq9i8b69ev/8Y9/lJSUyOXy7OzsyspKvV7/+eefc9ktvyBpAAAA0HUJMNSNxIRtnd/0kUceWbt2rUajuXz58ieffOL80LBhw15+i9xw9AAAIABJREFU+eWUlJTExMQRI0akpaU5Hurdu3daWtrbb7/dv3//WbNmJSYmPvLII3/4wx/Yfg8t75ZfMMtlG3XYLJe03W5gKIWgmWIvIlwoQLiJaV0HGV21QB7YTH9mO23VmXIVfr1atTdCLsMZxmrwzi0SI0PpGCqEaN1tXV+Y5VIqVposMMslzHKJEMxyiRBiZ7kUCmstls49y+X27dszMjK2bt3qyc47bLde4StXPECz1ldc2VB5FSHUg/T/IGzQUGnDyYOZ7ZK9etFFC0JIkCAyPiZjlO4vrF3JlJfkkciOEIbkKnrY9FrHQxcyHhLX3cLsqBjDUMxTPft+1MJ+WIU2w7Li0ycMlQihNGX0es1AKd72r5ORoSbmHcqxaBFCMgGxuVvKRHm3Nu+tI5XfIW9myUx6RErlcQOM3eI51YMCoBMTXj4vPpZh0esk/krLmPG2BNfR0eDBBVca2qgDrjTsrLuzrPi0YzVcKDscOz5AQCKEpLv1oqx7P05UjFC/xE0vqop88kJGo566mjhLn5E6hNCV7IXCogPODwWO/DooyE057Yl5h86Z7r38RYHx60IHuHlJ9zfzzpHjhgrHqgjD8xNni7iV6OHxSoOuVnDyvwHOLUOnaP3V/Fxv4P2kgCsNrC5+pUFQXCTdke7cYnjmRSYouM079OUrDV0Q9GnwXT/pGhX9uGszZBkbfqSJHKvzQ0SeDTO5GV9857prgZSqQhG7QJX/5vJQye1/tby3SsrsnDEghH6qb75ECUcue7PamUP6Uk922DGqi0UuLRVF8JcFdGlE3i3Xlju3eYkEtAdIGnwXjlx75hCO0gFNPzfMbTeeJv+I/74TDHfdFsfd/PLhTQ4n8KysQdMXK3L/ivjX9EU/CFED0I7sTc8BmC62E4HP0ndN8w93Xo0UygZLA9llKqnR1Eq2HkK72M2PVfd+rn0VQ6MaLuGKNI84tzMIhcevaHlvgQJymLTR9cZpCk4loe5nmKzRFUgxLhgjD/Vkhx0jONzq0qKOcm0BoEuh41znMadi4niJxJnAM/zOZuJTBG+//TbfMdzD/bYTSZL83rYUCoVCodBbhZWalUj6KwnRNbNWz1CDpUGfhA+NFMrYh6hYIW6047UMZrNb+4rMjynsIjdJg0xB22x4fVVDX0VliC354YZ5qoJDp5TUHBEYSjCEaAwXJf4xLOJJt+GlykMLbIZblvpAgpynjHkjpK/Ag/+yp8sjfzNWlNlMdoRUBLk9cmSUkGuZS5Ik2aopHU9I2pVqSldNWM24zJ/p9ZA+MIy3ARS8nxTslF3telK4xQ5n97zHvickEglN0/wOpeHxy2D3k9uDggUVZZjZxASpzVNm0qEedWqWSqUehoTjuNAzkDQ4QEfINuqwIZcIIdpub/b3WCQUCXCBydK6v9E0je43XS1FmwhB6+aGkfv722m6aUXINrMyDMf+j/di8IEhl/7+yvp6GHIJHSER6vIdIVlCodBfLq/Van1hyCXDMB5+JUQike9P890xYMjlA+C+/8Fjbbm/1MI3v7UZA0JIgGHerbrc2ozBR0BXBgBc+cy5bLfbKcqjP1QEQUDSwPKVDxUAAAAAPg6SBgAAAABwArcnHlQYjfDbFtyOYyF2O+mFi+OW+muUsZj0701IfGICVl6Y7XS2sRohNEgaKMa4Xo3Mt+hKqrUhFB7N+f4OZbfm67JpO9XdbyApkLUxXA4YBtVXCmkK+QdThMiHOjD5DryuBq+pZgJUTEAg37EA4OsgaXgg4dW03//V45U0QkgeIDA+Kaei2v5R2hmqNOs5XUlDUUh1nzUBcS96J9AHyjWLdkHBbwU2A0IoSij7PHJEb7HS7VZ/Lb/4SVUOu7wgIPb9sEFuM7gKc96/bjxZbr6NEAokI56L3RwjH+xh8M0yG/Bzv/jrawUIIbGMSRqpU2n47Krpg8iMX0RZJ9llW/Ig8/jJ/MYDgI+D2xMPJMl/9WzGgBDCa2npLp0ne9Pe2ebIGBBCFZffstTf8Ci+B9OKkiw2Y0AIFdgMy0uy3G7ym6HckTEghL6ovb2//q7brXbeWcVmDAihakvR53kvtSle926ckbEZA0LIbMCvHpP70mAp/gnu5DkyBoSQ8EI2cTOnhecDACBpeCARdxuNYsKraFzvpox0C0zVrr+O5tqzbd7bA8pqp88aGw2gvWCqMdvdjBbLNrmOuT1jrHR7rALDRefVcnOunmqXsbt1FY0qe5r0uFkPPcDvIUpdMzxBSREvkYDObdu2bUuWLOE7ClcURYnFrZtSGMHtiQeUXYJhjQeBM+4qQrZAQLoOgybE6jbv7QElwgRqQlxB3ZsGLJgQk+66NQQJXE85NYd5vSUChYGqdWnhHGkriMSMxdjoHwOhuO3JZefDSF17k9hlXEuKgc6hrlJw/RRZX4PLFEziYGtQuHeHkHdCcKXhgWQZLmm8KkZE25MG/+h5zqsiRU9p0Ig27+3B9bSKLXZrZ+fpWBgQ6/Y9nSLvFiW898MTLpTN9o9ye6DU0MXOqw+HPi/A2mWaq8hejebpDos3E0K4P3EPldCL8b/XbcXur7T1TOIxHtDBTAYs+ydxVbHAasJqywUn90u0Va37TbTZbM8880xwcHBISMg///lPhFBGRsa4cePYR/fs2TNvXsNf15qamsmTJwcFBaWmpt65c4dtTE9Pj4uLCw4OXr58OVue7osvvoiLi9NoNAsXLtTpdAihK1eupKamrly5cuTIkRMnTvzmm2/S0tIiIiI2bdqEENq+ffsLL7yQlpY2fPjwcePGFRQUsHvesGFDaGhoQEDAmDFjysrKmj3c7NmzLRbLkCFDWvWSIWl4IFkeEhvT/OgeJBNPmqbLTFM96n5PKnpGpR6Sd5spCRysjF0cOWIv1uQf6K7gleBeH4QNGu2nGe2neT9s0Kvq3m43URHkt90fXhAYN0wR+kRA991Ro8OE7kvePhz6/NMxn/RSpiYqRs6JWjs78q/eCL8Z3eLN/VJ1gd2sqlBb/CBD74f4rFHog+wSiSltga1Pf6ZbBJXUz/j4U3Y/ufvNQGdRUUiY9I1+BEvzWpe+7969OycnJz8///DhwytXrmyhNu7evXtXrVpVUlLSp08f9lbFpUuXVq9enZGRcfny5YMHD/7www/Xr19fuXLl/v37CwoKzGbzu+++y26bkZGxaNGizMzMqqqqzZs379y5c8eOHRs2bGAfTU9Pf/PNN48fPz558uTFixcjhAoKCtasWXPq1KnS0tLg4OD09PRmD7d3716SJM+cOdOqlwy3Jx5MGLIOFKNhCoFAYPFGqX+xsl/YkC2e7+eBhiNsQUDsgoDYVm0VIZT+M3yoUqnUarmWkcYQlhKclhKc1qYwWyck2hISzWdNZR/H+CvNj0zjOwrAD5pyvZhIt3J0EU3TtbW1t27dSk5Obvn0HzNmzOjRoxFC77zzTlBQkNVq3bNnz4IFC8LDwxFC27ZtE4vF+/btS0tLS0xMRAi99tprTz755Lp16xBCCQkJbGNSUlJKSgqGYUlJSY6pmkaNGpWUlIQQWrp06apVqywWS0hIyM2bNzUaTV1dHUmSWq0WIdT0cK17qb+DKw0AAAC6oqAw1x4M6sjWzZSRlpY2f/78CRMmxMbGbtq0yWUGHOfVyMhIdsHf31+hUNTU1BQXF0dENEwOnJKSkpycXF5ezv6oI4QiIiJKS0vZZbm84QIYhmHsMuZUuF6j0bALYrFYoVBUV1cTBLFx48bk5OTx48ffunWLfbTp4Vr1Sh0gaQAAANAVKQKZfmPu9ftJHGIJjmhdR8jKysrnn3++pKRky5Yta9euPXfuHEKIYRq6Gzs6EyCECgsL2QWtVmswGIKDg9VqdXl5OduYlZV1/Pjx0NDQ4uJitqW4uDgkJIRLDEVFRY4963Q6tVq9a9eugwcPHjhwICsra/bs2eyjTQ/XqlfqAEkDAACALioy0TZlsS71CcPkRfr4AdbWbp6enj537lyGYQYNGiSTyWpra+VyeXZ2dmVlpV6v//zzzx3PzMjIOHLkCEVRb7311syZMwUCwfTp07dt21ZWVlZXV7dkyZLCwsIpU6bs2rXr9u3bFEX9/e9/nzaN042zzMzMI0eO0DT99ttvT5kyhSCI0tLSqKgojUZTWFi4c+dO9kZG08MhhCiKau00pNCnoQth7GhfLbpiRJEkeiwQSTzOGAWFNnSsBsfteE/s/9u79/go6nN/4M9c957d3CABApF7ICJXRVEpKFSoSguIVVHh2JeKd9Sj/rwd6ylVWo622hatWIWCRbC2VcFLsQ2IWATxgohACJcQCElgk+x95/b7Y2OS3UV2kl12NtnP+6/d2dnNk9mZnWe+8/0+XzU32Y/7KuhefHynR5WvdJb8LG9QssF1yrfBpve8RzXSptl7DzU7DYkhtZqOC/u/tCgq03tAsNcgdG4AiMVyZHd1cijyggULNm3aVFxcLIri9ddfP3nyZCKaOXPm0KFDy8rKbr/99j179hCRy+V65JFHnnzyyV27do0dOzbSM/H8889fuHDh+PHjg8Hg1VdfffXVV7Ms+6tf/Wrq1KmBQGDy5MmPP/74af70zJkzIw8uu+yyRYsWXX311SNGjIikKTfccMPf/va3fv36lZaW3nfffU899dT27dvj/xzDMJdcckl5efnu3bv1/8uMlkkl4hoaGnSuafhs8RaLxWq1njhxRmry6BSZ4j2gryOkRnT9Pnq/seXpEAutL6OcJCr9iFsC1r+39cb33uaSSzufg65vrrmxenPr04tsPd8s/YHO9zocDq/Xm/yevK75yLzqtia7V0omXJ7TR88beZ7vUEfIMyT+oDiyx/zNlrbCA0Wl4RGTzuBRY7PZTCbTyZMnz9yfSMhkMhFRKGRkepSXlxcKhXw+I8eqGP4LKQiC0+l0u90dvZCNV1AQW0imoxRFae022Dlms1kQzsi46CStXLmyoqJi2bJlafuLuD2RLTY2tWUMRLQnQH86nsTHKVr7jIGIzOu/d6yRHg/URtWg/Mh3vLWic9o8cTyqUOP/1H6R5gBSbu/2qLG4tQfFjnYOBwBoD0lDtqgMRUoWtdmXxMUY2xR7Wd86F0bnuOXYaDZ7kklqOiysKQfDUXnPYcmXsIx0hpOl2BFljfWiIZEAwJkwd+7cdDYzEJKG7DHATBR9BhmURAEn1Rl7NlILk5rUwMWZYpZMcBQm84EdJTJcXyHqurxEsOqfHTszCXH1H12FHe7qBQDQCklDtpjooEvadewbaKb5yZyUOSZwZVSV/uC0pKpSPlU0qv3T862FpUK6a/P9T9E50U87OY45cwwcHXUft0ffMJeJt2UBoMvA6IlswTK0ahD97SR95ae+Il1TSLbkMsbQhWalD2+vYlSBvMNIzU/qovxKZ8l74qWLj+9sUuXLc3rfWVCWVHCdiyGnpGLAD99uriaiK3JKhptdCd+S4UrKAvZcef+XVkVmevUPlZSloHgoQFfEskn93rUvppTlkDRkEY6h2fk0Oz9lHyiX8jTSpcqy+v0V1/UbY8lfo3vExBky3OzqBrlCe7lF0tiiJqOjADASx3E2W1JNodAKSQMAAHRnqqomOQo3Mr49VfF0aUgaAACgO9M0TZY7Vh86Bs/zSBoi0BESAAAAdEFLA0ALlbQ1jYf+3nSYiH7s7DvH1Y+lLt/7qe6QeLTSrChMQZ9wydBAcr3BACDbIWkAaPGb+t1P1e2MPP7Qe+yI5Lu/cLixISWpZp9p1+aWkasnagSfmxs2IQVdVgEga+G6A6DFn07ui35amUHzsnRK9W5L+6dH9prja0QCAOiHpAGAiCisKcflYPsl9XIw1MXLSIcCsQd4OG4JAIB++AUBICISGW6UJa/9knMsuV29jLSrR1SPcYtdtTi6dhoEAMZC0gDQ4v96jS0RrJHHJaLtmV7jjI0neYPHeW3OlizBbFPLLvCgrh1Ae0yNJP7xhOmJWtPvG9j9Rs6o3lUgaQBocbY596OB09b0m7im38SPBlw2wpxrdETJstjV82e4x17WNHpK8/kz3AW9MTE2QBumWRFfOsHtCrJuhd0bMj3XwBzr2DEiSdL8+fMLCwt79uz529/+logqKiouvfTSyKtvvPHG3LlziWjy5MkrV66MLLznnnseeeSRlP4faYWkAaCNjeUn2Ysm2YtsbDcZWMRylFcsFfQJC6au3q0TIMXYb4KsO+qGHf958PtWPqW1a9d+++23Bw4c+Ne//nX//fd7v6eg/owZM9avX09Emqa99dZbc+bM6XTMhkPSAAAA2YgJxmXSgY51+lEUxe1279u3b9iwYZIk2e32U642Y8aM999/X5blXbt28Tw/YsSIzgWcCZA0AABANlIGijFL1CHmDn3C1Vdfff3110+dOnXAgAFLly7VtKgspPVpaWlpnz59Pv3000gzQ5eeMxNJAwAAZCOtjxie7Wx9Kv/QoZR3LGmor6+/+eabjx49+tJLLy1atGjHjh1EpKpq5NXa2trWNSN3KLr6vQk6ExUhN2zYsGbNGp/PN3DgwAULFhQVFRHR559//tJLL3m93vHjx9988808301uGHctq7aGH9YEP8cIKv2XX/7FJHwLKfCfdYGHRXGnq2GoR3myKTzpJ5bE74FELO/7TRV+Uoh4Cky1hn5gbX3pwFeWw7stIT+b3ztcNt5nzcEgUug85SJ7cJyNGiTK4zVrh6+iX3nllYqKinXr1o0dO9Zms7nd7tzc3O3bt9fX11ssluXLlw8dOjSy5owZM2bPnm02m88+++xU/xNpleKWhpqamhdeeOGJJ57405/+1K9fv+eee46I/H7/kiVL7rnnnmXLltXV1a1bty61fxT0+PawfB8j+DmGiCSWXrTzf/oEfemTVf156Ioelp0ujoi+dXBz+li+3dSxjlQQT/gyZPrQT5FkQCbLej+/Lxx56cge877PbCE/S0QnasQvPsxRkTNAcjQzo/URO5ExENGCBQtYli0uLh4yZMiVV145efLkUaNGzZw5c+jQoZdddtntt9/ep0+fyJqjR4+WZXn27Nld+t4Epbyloba2dvLkyb169SKiKVOmVFRUENFnn302aNCgwYMHE9GVV165evXqGTNmRNZvbGx8+umnI48nTpw4efJkvXHzvMPhSG3wHcJxHMMwxsbAsizDMDqbbZYfaFKsUTvrqhB3d9LxZ8J2EATB4XDE3E1Mj3/vC9JZUUver2XGGbQ1DD8oeJ5Pyc7AbfPFLLFtk9XR+UTUUC20X+5t5NRwjrNH21cfmb9YFGPvVacTwzCiKLKGTg5m+M4Q+fdtNpshB2ba5Ofnf/DBBzELX3311fg1GYaprq5OR0xnWIqThjFjxowZM4aIJElavXr1hAkTiKihoaFnz56RFXr27NnQ0NC6vqIoNTU1kcfNzc36JyxnGMbY2c0jh4SxMTAMoz9pDTOxh67MaCmJ3/DvgmEYo36gZSLSqP1cmFKKtmonZMIXkZoY1Nh9lVFbPlZTY3d4hjiOa1s/ckR0k+2QXAyGB0BEHMd176QhC6X+rramaVu2bFm5cuV55513/fXXRxa2P7e134fy8/P//Oc/tz5tn0+cXk5OTnNzcyri7SSLxWK1WhsbGw2MQRRFjuMCgYCelef00la4o5bM4NTk43e5XLIsf9/o5PRwOBxer9eQ36aLipmY2bMvdZJRe4XhB4XNZjOZTMn/+6azBUtl1F0e30hOamwkIlexpb7G1rrc4lAYsbGxse2rN5lMRBQKGVnaLy8vLxQK+Xyx7SXpZPjOIAiC0+lsbm5WlGRvIBUUFKQkJEiJFF+faZr2/PPPv/POO48++ui8efMiqW5BQUFdXV1khfr6euwBhjhvIP/fQYn77sw6zSPfe6Fw+rdAQoMuMr16KFAcaOks/fyBwMipHet9DfFC55vCo02RxxpD4QssUnnL7YbS4YG+ZS35hCNXOecHHpbDhSxA+qS4pWHbtm0HDx5cvHgxy7KRBJPjuDFjxrz44os1NTW9evV67733IvcsIP0euEh4gGjvYbm0iBdFDJ1IjR/NtlzJ8KFjvKlYUbr8bBWZwv9Th3+Ogz8uyz359pc2DEtDx3sHj/MqEiuYVeMCBMhSKT5z7Nq1q7KyctasWZGnDodj1apVVqv13nvvfeqppyRJGjFixOWXX57aPwodMrgv0oUUYzgqKrc3NTUpGI+SQizJxafeV1mOWA4ZA4ABUnz+mD9//vz58+OXjx49evTo0an9WwAAAAlxHGfsWJLuBBUhAQAAQBckDdAFyIq2p1rZf7S1PGuyao+rVfvlVHWx546Elb+f4A6HU/NxqaUSvy8sfBmicOy2C0japt3y9gNK3AjHjMD6Na5aZvy4DQGQQXB7GzLd3mrlv6poj5UjotF7lVfLmeKCzie7YYkOvNR83sEwEdXYuMrLbcPHJFUIyPF/jdxxWSMyE4kupvnh/GQ+LbW4BtX+nLtlKj+W8c+2h8e2jEr4cKc86m+eK70KEf2nkLfc5OyXl0GF6szv+8wftowlDvzIFpqI4twAGQEtDZDp7qhsyRiIaIeNe/CrpC49d/7DH8kYiKi3TznrbZ/X1/kLbfO7Pu643PqUbdSsf/EkE15qWV9uapv8V9Wsf/WSGnlI5/zd09/bMoB+fL1ctcbIogIxhD1Sa8ZARJZ1Pv6QfJr1ASBtkDRARmv2qp/bowrbfWpikynjVHgo6iZCL79ypKrzJyRhZ+wtCaEyg0ZQsO7oBEvRuMMyEe2qUQY2R5XcGXcsg+6t8Ptjt2H8EgAwBJIGyGhmU2ybuVmlZCZ8CYqx+7zJ1vmP08yxn6aJGdTIz8Qd35qDiCjfEVvI0hO3WQykmWO3oYqKWQCZIYN+KQDiiQJzoyeqJWCullRV2uA4U/un3xTwfft1vmdP+DJLTKtHYGoG3X2XhkQV/VSdrJrPE1EvJ/tuSdR22DIs6qmxwudE9TJRczm5PIPCA8hm6AgJmW7RBL7nVmmdxgoazRLVn01IaqcdMd60UaH8LUF7SD3cRyiZYU1mWp/wYJG5wm5+18sqpLEUnGSTRmXQRbHv+hzrqmZxj0QqKcWc78ac1pcGzrOvepMdUy0FedpeZpp5ZQblOmo+57nTZf7AxzUoSk8++EObmoPLG4CMwGTUFGRdbsKqEydOGBhDhyasOkOyfMKqCJ7nXS5XU1OTJBl5693wgyIyYdXJkycNjAETVkUYvjNEJqxyu92YsKqbQf4OAAAAuiBpAAAAAF2QNAAAAIAu6AgJWcev0no3uRUab6ezrSn4wH81aocbA8WaOslOrL4Rl6xX5XeHSSF5iKjm6s3d+f0Sd0xWXaw0zJS1CT/rVc0bAoxHDY8QpXP0jqrgjsr8AVmzMtJwMWpYrELWv3q5Gkkt5n1XOSiJXrEA2QBJA2SXWomu2E0HQ0QaEUOP9qG7izv/aRrR/Epa51aIfER0UQ69PpiERHkDd0iyrfSwTS2Vl3w3OCQdQwqtr3vFz4KRx0q/oPcWp5Z9hy9/RLb/rjFS11LYGZJ2hHzzcxK9iUz/9lve9Uceq/msd4GrZTiGQs7HGhiZiIg7pri+DDf+3EUiEgeA75WtVyuQrX5VQwcjPesZIqJfHKHjSYx4eM9N69xtTz9qpjd0jKexvu1vzRiIyPKPxN3s+f1Sa8ZARNwhSfxP8DTrd1fW11oqYUcIu8P88QQFPVmP2poxEBF7QjV/0PLUtqqZaf9uRXO8kkFVwAEyEJIGyC7fxA1Q3e0/1Xr67Ir7tK91fBp3OCpPYZtU1pNgQg3uWOy4Ne5oNlZWZpvjtsO3CbYDWxubVXDHWpZwR2M/ja3DpJoAp4OkAbJLSdyUlv2SqMZ0ik/TcZNd7RHVAK7aGdWW4EiM7/eg5mdjK7pqjb33I/cTTrlm21vyYjeU8t0SzRX7aYojg6qAA2QgJA2QXWJ6MFyVT2clUaF4Rh4Na1dKsb+ZrtYxM3Zwqq3909BEa8IDURoqKCVtXRjUXDZ8XgbVcEybwLSoTacUcEppgp4daj4XHhOVGIYmtWw6/zWOqFUZClybuIcEQDbLvp5UkN3KrbT1bFpeTydlusBBc3Sc40/DzNK6Mnq1ga1ShBJWmlegOnUcUuERonq7S9wRJJWk4aI0NK69Ih7HeG91ip8EuWOKmsuGL7Co9my8JpZGmbxW1vK+j4Ka0p/3z3Qkfg+Rf45dHiDwVZJmZULnmdXClpYGxcl57s+1Lm9imolsrO96m9IjG9tvAPRD0gBZp7+Zfl6Ssk+zc3RPb9blcjQ1NUmS3jvicj9e7mfv0B/SBCZ0cTa2LsSQhwieIa6OvYeh8FhTeOwp2pSUHpznv/NSExlAFsDtCQAAANAFSQMAAADogqQBAAAAdEGfBsgUx/5z0lUR5GTmxFnU85oitl1B5ve+lN89qQka8+NiurDMgJ02KGvvvBvqUS0FTKz9ItOEwW0xcDWSdYVb9h23Whn/NU7pLF096X5fS3+uI5mhy130ROo6WMT7bJ/y+hE1oNGUXLpipMB8t1FVmXa94Cmtl2SOOTRQHHmt7bQfk5iwIyRUNKmyZjmLD8yy67keCWv0ah1t91IBTz/rSf31jX09/EW48eMQH1bDxXz5LAsvJHXl0+RRX/5C2SMxA3ntppF8Xk5y3UtVEj8LqYePcYLGjeGV3gbsq4ykiR8HmLqgxaqEJpjVXHTthFRiNE0zOoY2DQ0NOtc0fLZ4i8VitVpPnNBR/++MEUWR47hAIK7AUBq5XC5Zlr1eb5Kfc/TD+rL3W89oVJsrmf9fy+DI322Wfm5qG4u/lJFmj40amu9wOLxe7xndkz/6g+eKlkKSRERvzHVeOkIgIu6k4ljcSO3+tOcOl9I3wani/oO0vL7t6cUO+uvQFAQZf1D88yv52lBbMPf4pEd+0LLpji5yD2tqK21UMUAceUvnRxuaNgYs69rqWqo9uOb7c0//Fo10gHFyAAAVtUlEQVTop3vpX01tSz4qp6GJOnpWfRIc/be2nW1LsThsYVTYJpOJiEKhUOw7T8Uf1KZuVfdYuEh50P4B9YNR5HR0PguxvuEVP22p1KkR+W5xygMSlJFIMVWzL23iD7VUr1JdnHeBU//kJikkCILT6XS73YoSW0GrowoKClISEqQEbk9ARui9UW1/iVfkFpqr/USkqvSH6PawJb50Xzl9flhtnzEQkW1jy4nBusZD0cmK9Y3EdYj/Ep0bb/ZQ+MzUIXw2Oqf9jU0IhjQi8tZS+4yBiM49lFR9SfO/ozJXtk7hjyf4l77yRWUMRPRCbeI/FN4S9UVccCx87NsEZaRP452d8h5rS8ZARFUW9s1dnT/DsV6tNWMgIiZus6QBv19qzRiIiG1UTFuMvKiA7gdJA2QEazi2Wdh3JEBETV6t3hT10n4rm+bWsWPHY08kxb6WJUxT7KmR9SY+/4ej41eJqs7MPBKH45rua0+qRHRkd+yJxNz5My8REROX9TA1CbKQI+HES+I5g7F/qPlo50Ovidvs1bpaKE6NcccVpY5bcqaxjbHHRnxUAMlA0gAZwW2P/WlzDXcQUW4O0y8QdZ441ysz6S1rNKx/7O2GffktS5TesY3Pas/EDSH26FV4hoamYobueOdEn8uLg2pJD46I+p9nIaL2pxe3jvpSp6Ha40o1D07QLD887l8+R0e3ioac2D9UNKzzoZc7Y/ekc5IomRX/1ct90t2nQenFUXTaYEi/CujGkDRARvBdY1fYll87jWj3iLAlp+Vk8ExB25mvd1B9qjTdlRBL85llE9oKMVU6uLNmtJzxfNc4tHYNIRrHeOYnrju0pJTan17u65WqSGP9fAjbN9iWjT3tUDmOiEi00qaz2uKWWWbPRR2rNBXDf21bz0eNKDTOrNoT/LaUmuih3m1Ph1norqLEf6jkx9ZD7RKUihEWZ1Hnf8QuPZuf7WlrqJjuka8Y1flTrCYy/qvaNqOaxwYvOzPJ4PdTevOhiZbWvEHpK4QvREEwSCV0hOwkdISMSFVHSCIKNofdH5ykoMqPtRcOjerdVndS3VSlCAxz8SAuN65/exo6QhLR1v1K9bcSZ2MuvcDkiL64ta0PCocVuRfr/ZGF9PW4OBiipbUUJprfg0ak6Ff9lAeFx69t3CP7ZLqoH9erR9T5tWpzyPdZWBO03tOt+YlmcEiI9ar2zTIbIs9wVhmo99O+CdBnXioU6BInCfqyQSlAez8MSD61cLjYuzy2PaNDHSEjtu2Tvz1Jg1w0fkgKLsrZE4qzVpQF1XuWqun8l1KNOyLbGviARZIGCUZdGKIjZHeFpKGTkDREpDBp6LT0JA2nwfO8y+VqamqSJCOnqzb8oLDZbCaT6eTJkwbG0ImkIeXy8vJCoZDP50u86hlj+M6ApKG7wu0JAAAA0AVJAwAAAOiCpAEAAAB0wWgcgG5LVumG/bSxiVSiQWZaNYhKvpsdujpE1+6jyiCxRD9w0vIBxKf9CqK6Xv3FTvU/Ilska3c61ctH6SqeKG4LmT4OMH5N7s8Hp9vUHFz5AKQPjjeAbmtuJf2zkcIayRrtDtAPd7e99MPd9G2AZI3CGn3QSHMr0x1bKETXfaO96eCPmtgdNm6+LPz768RlmsTPQ9a1Hu6ozDYq4o6Q7dVmUjOoKzdAt4ekAaDb2hzdfb5eoqoQEdGhENVHj/P4KO0d7b88JO+2Ro1PXVOX+F3CjqgijtwRmUtUrxoAUghJA0C3FX/l3hAmIqqPK9ispP1y3RM3KDLxpB1ETCiuTHLcEgA4c5A0AHRb/UxRT0WWznUQEY11kBhddqifvmmpU2hUv9gyWJMsiU//8sCoulpqLqf0wtTPAOmDpAGg23p9MLm+O6WKDP3+rLaXft+/LW9wcbRmcLpjy8thVpvlPt9NQHW9V5p3buKOkKFLrOERLXmDksv6r7JrojFVFwGyE0ZPAHRbpSbaN5o+9ZBXpQscZG53jfDjPLrMRVs8lMPSWIcx4V1yNv+pTFXHlEInm5eja+iExpF/bk7Qo5JPVQs44pExAKQVkgaAbu7c78kJzCxNdqY3lDgCT0NKOnx/QXWw5EArKYABcOABAACALkgaAAAAQBckDQBJUzU6IZGcoWP/mIDKek5dzID1qEzAyDoHskqf+ejkKas6yRrrVk5Zu8mn0rG4UaOdp2isW+noqNNGj3ayKUO/cYAzB30aAJIibg+Z3/XJnuM2osAMe2hC2gcvfj8mqFnXeIWvQ0Sk9OJ91zrUHi0dCNg6xfaahzsqE5FUbvLPsWvmdHcq/H0t/aK6pZhEuZX+WdZWytr0cdDyDy8RqQ42eJktPK5l8Kik0X8fpFUNREQDzPT8WTTOnlQM4rag+T1/JKnyz7CFJ1gSvsXdrN22Xdng4InoPK/8QjnbpxBXX5AtsK8DdB53VLau8bRex1v+4eX3S6d/SzpZ1vsiGQMRcUdl28q2uo+2lc2RjIGIhK9DlvW+NMd2MET/e6St/NTXflpwoOUxXyVFMgYiYj1qpG505Onva1syBiLaH6Rb9lMyDSVcjWxd6239+qz/8PEHEn99D3+XMRDRVjt/+060N0AWyayWBoslcZofwXGc/pXPBEEQGIYxNgaO41jW4LSPZVme5w3fDhaLRdMM+O3mDsaWMbRUaXK5MVsj/qAQ9jVGrVCrWIOClsszjQpXq0StuVdO/kvkeV7/QfGPOknRom5LbPEyFouZiPiq2HsPlipNGWAhon83h4ja0oTqMO2VxfHOtvEXPM8Tkc7jgjsQWz3bUqXJw04Xv6bRJtEfFbaDU1Sz3dbWTsMwTIYcFMYGQERms1lVUee7W8mspEGWE89YE6Fpmv6VzwSO4wyPgTJgO2iapqqqsTGIoijLsiFJAzFqzCGksIZtjfidQYw7vmVG1WSZYVQx5gW+A0ff9+F5Xv8OaWZivy/hu18AhlFjRmEqXMvHmtj4d6lyu94kDMOQ7l8Shov9NIVNHD9HGlHMrRyl/Zsy4aAw/JchQlEURVESrwddR2YlDZKkt2lXVVX9K58JkQsaY2OI/D4aG0Pk99HYGCIBGJI0KEP56ErNFBouKAZtjfgvIjRCNP+z7cwhDxbDJoUkhUQSB4n8vrYL+tA5YvJfoiiKpHuHnJVLPz9MUrur0Jn5WuS96nBBfD9q5dBQXpUkIvpxLv27XevJMAsNEuT2fzDSxqAzBmUwH5M8Bcs4NdF7fyIrfzC1tWTM8sgcSzFvypCDwsAAIiRJQtLQzXBPPPGE0TG08fv9iVciIiKTyRQKxc14k0aCIAiCEAgEDIwhcnvC2OuJSPNjOJzCvuwdZjKZjApAszDyQIGrV9kmVS0R/HMccj/DEvH4g0I+iyeNYd2qxpE0whyY1VZ0WR4qMl6NaVY0Oxe60BK81EJMsh0hRVHkeV7nQWFl6RwbVTRTUCWRoasKaXHflpc0O6v0E7g6hW1WlX6C/1qHUtyyVc+2kounqiCxDE1y0u/6U2709o5k8zpPVJqVkQe0fH1KH94/x670S1yYckJvTqmSqlXGotJPA/L/judNQtSms1gsiqIYe842/BeS4ziz2RwMBpPP5q1Wa0pCgpRgjGnU/R4NDQ2JVyIiopycnObmtM/m247FYrFarSdOnDAwBlEUOY4zNnFxuVyyLHu9XgNjcDgcXq/XwD2Z53mXy9XU1GTsecLwg8Jms5lMppMnTxoYg8lkIiJjz5d5eXmhUMjnS3ff0vYM3xkEQXA6nW63O/mWhoKCgpSEBCmB0RMAAACgC5IGAAAA0AVJAwAAAOiSWaMnAAAiuGqZa1CUIl4p7vA0mJmJrZX5Y4qSx+rpbgmQmZA0AECG0cj6mkf8sqUzY/g8s39WcsWiM4DlHZ9pU0ufZWmY6LvBQWy663YDJA+3JwAgs4hfhlozBiIStwaFPcaXHEgGf1BuzRiISPgmLG4zcnwHQKchaQCAzMIdiS09wlV37aSBOxIbP19tfLlGgE5A0gAAmUXNif1dUp1du1uDlhMbv+rEby90SdhxASCzSKNNSm7bT5NawElnx86V0bVIQwW1qK0DmZrLtU72DdC1oCMkAGQW1c76FjjNG4NMg6z25EMTLZq5a/cZ1ETGc0uOeWOQPSZpeVxwolV14YINuiQkDQCQcVQX559hMzqKVNJsbGA65lCALg/ZLgAAAOiCpAEAAAB0QdIAAAAAuiBpAAAAAF2QNAAAAIAuSBoAAABAFyQNAAAAoAuSBgAAANAFSQMAAADogqQBAAAAdEHSAAAAALogaQAAAABdkDQAAACALkgaAAAAQBdMjQ2Qjeob6V9vesfUyX6O+bxEuPGnmLUZABJD0gCQjb5e0XzLkXDk8cX10m8VuvE65A0AkABuTwBknYN16k++yxgiLjkQMioYAOhCkDQAZJ0D9WrMkrywZkgkANC1IGkAyDoXl/GHrFHH/vZ8wahgAKALQdIAkHU4ltZfaG3NG3a6eNvlFmNDAoAuAR0hAbLRNZeaj44Wl+4IiwI7fbxYYjI6IADoCpA0AGSpXnnsNZeajY4CALoS3J4AAAAAXZA0AAAAgC5IGgAAAEAXJA0AAACgC5IGAAAA0AVJAwAAAOiCpAEAAAB0QdIAAAAAuiBpAAAAAF2QNAAAAIAuSBoAAABAFyQNAAAAoAujaZrRMXRJO3bs2Lp164IFC4wOxGB/+ctfevbsOXnyZKMDMdKJEydee+21WbNm9erVy+hYjLRly5Y9e/bMnz/f6EAM9sorrwwZMuSCCy4wOhAj1dTUvPnmm9ddd11eXp7RsUAqoaWhk77++uuVK1caHYXx3n777U8++cToKAzmdruXL19eW1trdCAG27Fjx9q1a42Ownhr167dsWOH0VEYrLa2dvny5W632+hAIMWQNAAAAIAuSBoAAABAF/Rp6CSPx+PxeLL8HjYR1dXVCYKQm5trdCBGkiSprq6usLBQFEWjYzFSc3Oz3+8vKioyOhCD1dbWWq3WnJwcowMxUigUamho6NGjhyAIRscCqYSkAQAAAHTB7QkAAADQBUkDAAAA6MIbHUCXtGHDhjVr1vh8voEDBy5YsCALb+Jqmvb666+/++67siwPHz78zjvvdDgcRgdlpG3bti1btuzFF180OhDD3HvvvZWVlZHHP/rRj2655RZj4zFETU3N888/f/jw4f79+993333Z2dfnjTfeWLFiRfslK1ascLlcRsUDqYU+DR1WU1Nz9913P/fcc/n5+atWraqsrPzlL39pdFDptnPnzmeeeebXv/613W5/9tlne/TocdNNNxkdlGHq6uoeeughnuf/+Mc/Gh2LYa699toXXnjBbDYTEcdxHMcZHVG6qap666233nzzzSNHjnz55Zf9fv/ChQuNDsoAiqIoihJ5/MUXX3zyySd33323sSFBCuH2RIfV1tZOnjy5V69eJpNpypQpR44cMToiA7hcrnvvvbegoEAQhOLiYpbN3h1JkqQlS5Zce+21RgdiJK/Xy3FcTk6OKIqiKGZhxkBEX331VWFh4dixY3mev+mmm7I2jeY4LrIbqKr6zjvvZGebUzeG2xMdNmbMmDFjxhCRJEmrV6+eMGGC0REZoKSkpKSk5MMPP/zd735XVFT0zDPPGB2RYZYtWzZx4sRBgwYZHYiRamtrNU2766676urqBg8efNttt2XhPbujR4+aTKZHHnmkqqqqtLT0jjvuyPJRl6+99tq0adMijU/QbWTvBWIyNE37+OOP77rrrsLCwp/97GdGh2OYSy655OWXXx4+fHjW3svftGmTx+OZPn260YEYTBCEadOmLVq06OWXXx44cGB2JpF+v7+ysvLGG2989dVXR40a9Zvf/MboiIx07Nixr7/+evz48UYHAimGpKHDNE17/vnn33nnnUcffXTevHnZ2RK7YcOGiooKIsrLy5s+ffo333xjdETG2LJly44dO+bOnfvggw8eP378uuuua2xsNDooAxQVFV111VUOh8Nms11xxRVVVVVZ2FkqNze3vLx88ODBkRuXBw4cyMKN0KqiomLKlCkMwxgdCKQYkoYO27Zt28GDB5988smioqL2XX6yislkWrt2rd/vV1V148aNWds4/9BDD61evXrVqlWLFy/u2bPnqlWrsrOX+Mcff/zAAw80NTUFg8EPPvigvLw8C88Wo0eP3r179969e0Oh0HvvvVdWVpaFGyFC07SNGzeef/75RgcCqYc+DR22a9euysrKWbNmRZ46HI5Vq1YZG1L6XXjhhXv37o3MDF5WVoYpwrPcpEmTjhw5cscdd2iaVl5enp295XNzc2+++eZnn322qalp6NCh2bkRIvbt28eybHYm0N0ehlwCAACALrg9AQAAALogaQAAAABdkDQAAACALkgaAAAAQBckDQAAAKALkgYAAADQBUkDAAAA6IKkAcAwdrt9w4YNnXuvLMsMw2zfvj21IQEAnAaSBgCDHTx4kGGYF154wehAAAASQNIAYDCn0/nggw+OHDnS6EAAABJA0gCQPnv27JkyZYrT6Rw5cuRbb70VWZibm7tkyRJZlono7bffHjVqlMViKS0tjcytvH379oKCgs2bN48fPz4/P3/SpElZO6coABgOSQNAmni93okTJxLRW2+99fjjj991111+v7/9CocPH541a9aUKVM2btx46623Lly48JNPPiEij8fzwAMPrF69urq6+rzzzrv44oubm5uN+R8AILthlkuANFm1alUoFPrrX/+ak5NDRBaLZfr06e1X2LNnjyRJt912W2lp6bhx4wYOHNijRw+32x0Ohx9//PHS0lIiWrRo0Zo1a1asWHHrrbca8l8AQDZDSwNAmuzevfvcc8+NZAxENGnSpJgVxo8fP27cuPLy8rlz565YsWL69OkDBgyIvDRu3LjIA47jxowZgzsUAGAIJA0AacJxXPunDMMwDNN+icPh2Lp167vvvutwOJ588sm+ffuuX78+8pKqqq2rSZLU/ikAQNogaQBIk7Kysu3bt3s8nsjTzZs3a5rWfoWKioolS5ZcdNFFS5cu3bdv3/nnn//SSy9FXtq0aVPkgd/v37JlS1lZWTojBwCIQJ8GgDS55pprHnvssTlz5jz22GNut3vhwoVWq7X9CuFw+MEHHzSZTBMnTjxw4MCuXbtuuOGGyEsLFy7keb5Hjx6//OUvFUWZN2+eAf8AAGQ9tDQApInNZtu4caMsy9OmTXvooYcWL148Y8aM1i4ORDRlypSnn3762WefPffcc++8886ZM2c+/PDDkZeWLl362GOPTZ061ePxbNq0yel0GvRPAEBWY2IaSAEgo2zfvn3cuHGSJPE82gUBwGBoaQAAAABdkDQAAACALrg9AQAAALqgpQEAAAB0QdIAAAAAuiBpAAAAAF2QNAAAAIAuSBoAAABAFyQNAAAAoAuSBgAAANDl/wNwraoL2GxNFQAAAABJRU5ErkJggg==)
Change size of the points.
ggplot(data = mpg) +
geom_point(mapping = aes(x = displ, y = hwy, size = class))
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAArwAAAGwCAMAAAB8TkaXAAADAFBMVEUAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQkKCgoLCwsMDAwNDQ0ODg4PDw8QEBARERESEhITExMUFBQVFRUWFhYXFxcYGBgZGRkaGhobGxscHBwdHR0eHh4fHx8gICAhISEiIiIjIyMkJCQlJSUmJiYnJycoKCgpKSkqKiorKyssLCwtLS0uLi4vLy8wMDAxMTEyMjIzMzM0NDQ1NTU2NjY3Nzc4ODg5OTk6Ojo7Ozs8PDw9PT0+Pj4/Pz9AQEBBQUFCQkJDQ0NERERFRUVGRkZHR0dISEhJSUlKSkpLS0tMTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+AgICBgYGCgoKDg4OEhISFhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OUlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWmpqanp6eoqKipqamqqqqrq6usrKytra2urq6vr6+wsLCxsbGysrKzs7O0tLS1tbW2tra3t7e4uLi5ubm6urq7u7u8vLy9vb2+vr6/v7/AwMDBwcHCwsLDw8PExMTFxcXGxsbHx8fIyMjJycnKysrLy8vMzMzNzc3Ozs7Pz8/Q0NDR0dHS0tLT09PU1NTV1dXW1tbX19fY2NjZ2dna2trb29vc3Nzd3d3e3t7f39/g4ODh4eHi4uLj4+Pk5OTl5eXm5ubn5+fo6Ojp6enq6urr6+vs7Ozt7e3u7u7v7+/w8PDx8fHy8vLz8/P09PT19fX29vb39/f4+Pj5+fn6+vr7+/v8/Pz9/f3+/v7////isF19AAAACXBIWXMAAA7DAAAOwwHHb6hkAAAgAElEQVR4nO2dd2AUxRrAF4LgExWlt9CbgIrSURREURRQUXoRFFBEsACCAiJPFEERBEVRARVBpAhWlCJSBYJ01NBLQkjWBySU5FJu3+5sm7Z3c5e9y13y/f4gudlv5/bmfmx2Z2e+kRQAiFKkvD4AAAgWkBeIWkBeIGoBeYGoBeQFohaQF4haApU3jSAjTZgrmeKxl66Ix3rSxWMzLoofQtalAOoVD00PoBkuXxaPzQykGcRDL2U5NFlIZAyUQOWVCTyyMJe84rGpl8Rjs9LFYzP+FQ49r1wQrzeAZriSIx6bliYem3NFPDaAw72gnONvCImMgQLy8gF5ESAvAuRFgLwuAvLyAXkRIC8C5EWAvC4SqLzpBDnpwmQp/mNMPJnisd5s8djsDOHQDMUjXm8gzeAVj80MpBmyxGMDOFyP4tBkIZExUAKV9xxB5jlhrnjFYy9eFo/NzhCP9ZwXDk1V0sTrDaAZ0nPEYy9dEo/NSRePDeBw05RU/oaQyBgoIb5sOLph2cbj6De4bEDAZYOLhFTeRW0kjXuWyCCvAcjrIiGU90g7yaTDMZBXB+R1kdDJe7ieZNPgGMiLAHldJGTyprSVcB4AeREgr4uETN7PJZJvQV4NkNdFQiZvc0reNiCvBsjrIqGS9x+JxqEVeIC8CJDXD6GS9ydG3h3iTQbyIkBeP4RK3gWMvD+JNxnIiwB5/RAqeX9g5N0u3mQgLwLk9UOo5D3IyCsuDsirA/L6IWS9DbdT7raC3gYNkNdFQibvR5S8C0FeDZDXRUImb3Izwt27LoK8GiCvi4RubMPBapi7NePh8TAC5HWREI4qO9DUvuD9B0aV6YC8LhLK8bzJH96C1L1tTgqM5zUAeV0kxDMp9n47d8U+9BvIiwB5XQRmD/MBeREgLwLkRYC8LgLy8gF5ESAvAuRFgLwuAvLyAXkRIC8C5EWAvC4C8vIBeREgLwLkRYC8LgLy8gF5ESAvAuRFgLwuAvLyAXkRIC8C5EWAvC4C8vIBeREgLwLkRYC8LhJSeY9OaRtbokq7d7T00iAvAuR1kVDKO62CMZGi4iyQ1wDkdZHQyZsyAJvD9jTIqwPyukjo5B1DzB6eAPIiQF4XCZm8W6i8DftBXg2Q10VCJu9jlLx9QV4NkNdFQiVvYmlK3rIZ4k0G8iJAXj+ESt61Es0+8SYDeREgrx9CJe8iRt5fxJsM5EWAvH4IlbxLGXnXizcZyIsAef0QKnm3MvIeFW8ykBcB8vohVPKmxFLu1oTeBg2Q10VC1lX2IiXveJBXA+R1kZDJe6Qi4W5sMsirAfK6SOgeD39LyPsjPB5GgLwuEsJRZV/a6lZcDANzdEBeF/Et747B6j+7hvT9MMssCaQZtj9kuPvwThgSaQDyuohPeZMHDFKUy73iPRNWmkWBNcOuyQMfGfj2Hu1XkBcB8rqIL3kzR61R5d04QVH+HKW+zElNTc34l8DzrzCXveKxaZfFY7PSxWMz/iccel5JFa83gGa4kiMee/GieGzOFfHYAA43VTnP3xAmPX3jS97ZP55Q5f12tqIkDFBfJjVu3HhmuI4LAPziQ94NU7xI3o9Uefurr9PXrFlzOI0gK02YDEU89kqGeGxOpnhsAKGXlMviwQE0g8crHnvlinis1yMeG8DhXlYu8TeETVBf+JB3cvde3Tv3Or9xoqLsHmkWBn31BNe8CLjmdRHfvQ3amfdy7wTv5BVmSdDNAPIiQF4X8S+v8ufQwR8E1VVGAPIiQF4XgaQjfEBeBMiLAHkRIK+LgLx8QF4EyIsAeREgr4uAvHxAXgTIiwB5ESCvi4C8fEBeBMiLAHkRIK+LgLx8QF4EyIsAeREgr4uAvHxAXgTIiwB5ESCvi4C8fEBeBMiLAHkRIK+LgLx8QF4EyIsAeREgr4uAvHxAXgTIiwB5ESCvi4C8fEBeBMiLAHkRIK+LgLx8QF4EyIsAeREgr4uERt6za+d9E08WgbwIkNdFQiLvvCpaYtM+x/AykBcB8rpIKOSdaaTlvT0BKwR5ESCvi4RA3vjyZkL017BSkBcB8rpICOSdZWXzr4+VgrwIkNdFQiDvC5a812OlIC8C5HWREMj7EsjrDMjrIiGQ9xNL3sZYKciLAHldJATynihnyjsNKwV5ESCvi4RA3r6FTXkr7LJLQV4EyOsi7svbClv3suh6qxjkRYC8LuK6vH2JVVuLnzDLQV4EyOsibsu7K4Zc7L2juQHkRYC8LuK2vO1Id6WYJGMDyIsoEPJmSXHBGxkAbstbnJJXmmpsAHkRIK+LuCxvMu2u1MnYAvIiQF4XcVneOEbeZsYWkBeRz+U927VUuWEZmrx/ty9x7V17FOX7RldXnW79cBeX5T3ByHuPsQXkReRvebNvfmDLF6XHavLefveada2bKievGrV9srTV+JFrXUncvuaNoeUdbGwAeRH5W94fip9TlI/6qvLmvH1EURaUUlZLxxXv0iPGj1zrSuK2vLVoeeOMDSAvIn/LO7kZ+qGdeT0bZj5RppSS1rR4788vmz9cxm15Z1DuVjY3gLyI/C3vf1uhH6q8l1rUHLHys1KK4t34TI1SP5k/3MX1J2yVSXlXmOUgLyJ/y7v0+jRFWXivKu8P16QryiellPVTFSWn4yPGj1zrSuK6vPuK4e4OscpBXkT+ltdTs/OOb6sOV+X9XfrqyCeViu75tdD7e1ZUn2D8yK2tFO4PzNl8Hc9dkFcnf8urnOx8Q/nhV1R5va+VLfnY4Ycf8k6pVrTyCI/xI7e2UoRgSORp69w7BisFeRH5XN7wEgJ57Xu2ylgpyIsAeV0kBPLeY8lbGCsFeREgr4sEKm8mgTeTQxP7mjfDLs1WeLF8srLFY7054rEBhGYpWQEcQwCHEEBsdoiaIYBDcGyGkMgYKCE4894LZ15n4MzrIiGQ92NL3qpYKciLAHldJATyJlh9ZVOxUpAXAfK6iPvy7m9kX/POsotBXgTI6yKuy3uYGJrzgVUO8iJAXhdxXd4HybENf5jlIC8C5HURt+X9kRpVBrOHSfK3vNmXeGTl2lIH3Ja3JyWvZGb3B3kR+VzeNB4h6xR2W97ytLxzjA0gLwLkdRGX5U2k3ZXGGltAXgTI6yIuy3uYkfdFYwvIiwB5XcRleVMYeScbW0BeBMjrIi7Ie/KzXm2adZoQh0qa0PL+bISCvAiQl0tWsQA9RORa3pS3KxqadjuolrxOuRubbISCvIgCIu+qjjfdt5iRd16NUu2PcnfE5fWeEZUxt/ImdLZFrfKbLB+vRMr7jhkK8iIKhrzz0Hc/iZI3/upDl1+6W8nsX7rsDEVZ1aBK/3OKMrXcDXcnKZ2lpkbB7g4d7wiXvF1xUyvvluW5hLutzCSRIK9OgZDX7DA9RMr789OK8lc5ZWGLiweKXEy6YW/mwP7KiWuPpz/+lnbmNQp2F515KUzyziHPs23UsvHY6/rxVijIiygQ8m42vv6vmWvejB7PKV/W3eVVlE8eVZTTtZT0M8r53qM1eY2C3bFeYRlzJ296DeoSV0vTMK+k+arbCTsU5EUUCHm3G9//ckpe79I6L2cpnkmlq8/2Tih36623NvNmjbu1STMkr1Gwu6m4jLmTdwPlrtRXLTxWwXz1NhYK8iIKhLzn9XNapdOkvDlP3hWv/khIyVxbaeeHQ9Tz8FHlqyaJyhQkr1Gwu3m45J1Ey1tdLfzIetUICwV5EQVC3rTV6OtfQN2wfdckIysrS3mjXcaFOmuOlT+U+WIf5Z3HvCdvG6ZkxWQbBeGT91la3hJq4YvEKxOQF1Ew5E37e1SX53fSXWUjNSdKKf/ed2O5kTnKkjplOspKcqvY1l81iPO2r2cUhE/eZ2h5r0+BtYd9UkDkjYYnbP+l5a2mFn5gvboZCwV5ESCvi+RO3t9oeXuphYetG7Y3sFCQFwHyukguu8qqUvIu0UrNlbNbJmKhIC8C5HWRXD6kmEW620ovXlxbe/H0KTxUXN74Wc8/9+5e0WiQFwHyCkA1w8FChLx9zQ2bv/7hJBkqKm/Kq3pVgxL9x2qAvAiQVwCqGWqSZ95Cxx2bQVDelB5mXXeK2QvyIiJDXm8Gj+xcW+pA7uRlZv20dWwGQXnft+t60X+0DPIaRIa8YSZ38vag5b3asRnE5E3B7wCdT+MYIC8iMuSNqqnv1Wh5JcdmEJN3E17XApE9QF5EhMgbTde8NzLynnVqBjF5F+N1vSWyB8iLAHkFID9CWbfPvCvxut4T2QPkRYC8ApAfoSHtbiHHZhCTNx6vbI3IHiAvAuQVgPwI79PylnVsBsHehvvtuuqliOwA8iIiTN7//fbV6uQIl9dTmJJ3kmMzCMq71a5rhf9oGeQ1iCh5U9/VZpSXG3suaHnFpsLnUt7BpLvXOTeDX3mnlCtSuFijXUvNumb5iTcAeRERJe8I4yvsFtnykp1lheKcGuHQm493HPidj1Y6Vc6oo88dxkXDLrHmBXkRkSTvFkuIpaS882qWft6rfFGzfL80ZX+bEXe2X96t8mxlweBurdqdMCfB60HaVPjQy3sWszfG0c4lemKSjgmOrXQDffUsVf1bqHlBXkQkyWvPRnickHdv7Omkuj/8VeZvT7cxyn7pb+/t7b0bqysLrtqvTLvPnASvB4XnzCvLz8aYN1iHnZrAnAotdXeKYNL6qnQRal6QFxFJ8na0vsJbCHnHj1WUP3ZPeU5RdtVT9tdRlH6zlXPllAXtFCW9SIYxCV4PCpe8sjy9YZmSVXs6qivLj1qfZqtDxFUceaX9Is0L8iIiSV47iVIjQt4nP9b+felt1aISyv7GivLEAuW8Km8ftbRkojEJXg8Kn7x+KWV9msn8gLM8d6281D4BeRGRJO/L1jfYk5B3zERF2bF56jBF2VMHl/duRblwVZYxCV4Pihx5k2wfX+BHbOaoS84icgTkRUSSvLusb/BnQt6t1ZPO377oYNkjWT1H4PIW+i37hUfMSfB6UFaMyDjKsJx57buxifwANqG6xgf8YBKQFxFJ8qZNNr7AZ6musplVyw3PUT6vUaF3qiXvEGVBh3Zl2iWYk+D1IG0qfITI297y0emJbwxP3jiRukFeRETJm/ZVXfXrqzpL7AnbgqcCdNAiLPL+bOrYziniHo679wjVDfIiIkvetLT963aJjm2IcHnlmbqOTQ45BZwtxrhbaYdQ1SAvItLkjYKBOcLNsG1wk/rtZyU5B+y62nC2WQP9Z9W1YjWDvAiQVwChZjg65taSsV1+wUp+fDi21G1jT/DDNeKuN+S9/8x7rcuXafr6SedYApAXAfIKINIMu2rQXV3j9IJajtkYTl9nXS70gKQjBiCvH3zI6/26X6830xRl15C+H1pz6ASaIbmR6eFKo2SJWdDUaYhuN/tat3AcyKsTffLmpPPIi6nv+/rL6W99plzuFe+ZsNIsFGiG5ZaH7Y2Su62SHx0aqTh2p9YV5NWJPnnDjA95T+1TsufPUzZOUJQ/R6mvLy9fvnz/RYKsixzsRSlKGSXXWyWTeDtcvPg/vJuh1sX0DH4Yj5xM8disS8Khl5UrAdQrHurxisemp4vHej3isQEc7hXlMn8DX5nsyzzyZur72keeuaJ8O1tREgaor5IaN248U6DKUbaH+toYWXbBWP4uCUQfWYAfAYgYIueaV+V/s6Yr336kytVffZGTmpqa8S+B518Odq7/ykaJPcn4Hd4OKnjKs4b/pl12COOQlS4em/E/4dDzSqp4vdxm4HMlRzz24kXx2Jwr4rEBHG6qcp6/ge9L5Mi7Zr2iHB2kbJyoKLtHmoWcq6ezK57v+tDAWdaqVdssDZ80SnpZJX86XFuVx+R97NnHHxk8VyhdjgzXvAaRcc0bOfJufPZyzrypyuXeCd7JK8xCthnmmctZDT1mlD5p/v3fZxQ8YHp59WqHRppmu2uchMuPhUR70Stv4rcfLzmep11ln/XrN/mCerc2dPAHjl1lZ5+ytatrPNA98wR6WfM3/eVZ7LRayB7Q++f3q7EHES0khqZC84ACkHfH6nWnRWNBXkRw8p7SpXg8PsIfUhDTh6vrlw7JPYtor2qs04PI1YgX6YVz6qKPZ8+yfJC1t5GIaqLypsyorlZZqvcBsXCQFxGUvIfqGl9gbFxEy7uQ1K2jVpgYa7yK+Vh7OZAMKaKVpTxhvKr0k1lVyvD/MPY+I9C8gvKeNacixa4Xigd5EcHIm9rS+gLryD7l1cb05oZcynsTpZs2nqGpLepOmR2q21vG1yeuaJwJU7pJHHb7b15BeYdbdVY5IhIP8iKCkRdPlvguX94fSqEflrzG60DB5BVasJj8CNtp2wbK8i/Yy6b4epgGxcmMZEaPxBw6DPG6/+YVk3cXVqlQ0mqQFxGMvHjS5ta4vHaqhnWS4n2rQq1xjZXM/qXLztBef1OzZg1pj7KqQZX+54KQ96ZJxwKV923attrkxat6jdCYMdIa3osoqydFvZMrr3OidQsxefEF46qK7ADyIoKRtwnW1uUIea1UDbubK79UOX6+WWNlYYuLB4pc1Je9/ODunKQb9mYO7B+EvG80kFp96O+hNfkRnqNtKyHLtfDXB6jbNY2j5Kqv+kizkkyYRl3/zSsmby+8VpHRliAvwl15rVQNqqxD3laUpY2VL+vuUv/iI3n/Lndc+eRRRTldKwh51drH1izS8evL4vIyy7dKKXJ1/OV24vGDzh55EP5yJ6qJzZijUd1/84rJS1xR+8gwYQHyIoKRF08gQ142WBOGVVm7fK0oOxornkmlq8/2avJmNp6vKBPK3Xrrrc2ELmBpeRXlwojC0rVPpYjKO4G2LZa8ACicLNdnjJTlN/GX+rOIW7jytvLfvGLyYuMtpDIiO4C8iGDk/QZr62mO8g6dqigrGisJKZlrK+3U5B3XWXX2wyGKknFU0F1C3uTPHixaZvDq71rHOo/AJD/CL7RtXWV5LvayhiyPpEOKyvJO7OVDek2vc+UVuLcSkxdfZ7aXyA4gLyKorrI7rKauKzvKu6ba6YutGytvtMu4UGeN+npr+WQ15Fj5Q5kv9glC3rsKVxi6XtP2ghQvKO9l+or2S7Wwgv1yuSyfLUSF3KGG9LZf/q7XlHAbT97f/DevYFeZnT/LuE7xA8iLCOohxeF6RktX+TONJ+8QTV7vmxVrfdJN+fe+G8uNzFFf9ylRt27d75Qldcp0FB4sjMn7wuYc/ZesP0TPvB6qu6GRNlPCmkspDdZiqH4EtM7gSasPYoZZ1ZHurLsdBZrXSd6k5ZPGfmINFpIPWz3Sc9nYk1++PuFLYrFZkFcnuMfDCfpz1+6Hw/d4eL1HIJ5qhqS7Cds2otIDddCLYvo4htNk9nQ9UeRp/ePVWoJVdmD+zHnEDPgYp2E8OA7yfl4FVTHESqq6V1+ssxi7xFDKJJQbuPwkfI4SyIsIdmBO0spPlp0M58Ac6bpH55z0F083w+GmmG2Wihv6t+k03ZjoTq2tXdsojp8z9q0f6IWvniVjHxRoXr681i1hc2N8xCHrzPspHdvH3IJfDIO8iKgZEnn8i6dqS/VHrPEZzzRD4lDzu2+xmfcpU6pR1wI+0vX/Q4VK6/w3L1fen+0qBuol2KMTKpnJe/YWbO0skBcRNfJqHOhV2PdoB04z7B53Z9Wyt/Rfzv+Uv9JC3ufcVNPpWIekkjhcedtidaCHIOuwgp5E6NnK9pZK9l8CkBcRNfImLXnuFqlS7098xgfcDG/RQpZ0ju1Nx7b0Xz9P3uN4HdO0ErzDjuznJXr7VlnFIC8iaqa+SzGPf3rY38ONgJthuERzyjH2Xjo0yCdsxArGz2klzk/YiBFBs61ikBcRNVPfe1QudtfYX1J9xwfcDCMkmjOOsR3o0CDHNmzD60APOoixDUTWqfn4ls+sYpAXEehlQ95NffeeWPB0g5jbfMYH3AzTJIryzrFP0bFBjipLLIXV8YlW4jyqbCv+fvYtJ8iLiJprXkX5d8Xztxaq7zM+4GaIo4Xs5hz7BR0b7HhebEhpBTQtdDd9KrbBRlXcbJeCvIiokff5W6UbHv/0lO/4wJuhGSXkMufQ0/TT5j3+q+fKu6uiVcUUvcReG6wqNZMCW2h+pV0K8iKClffcjp+3yeGUt9n4Lf6vTgJvhh9IH9vopSlfP3nfw+PwVS7X3R9buhQZ+7BA9fyHFCtMe4cYBWe7GAWxv9OxM8y3m44VgryI4OQ98rSWZqZM7wNhvGzIOI7wGR94M5wsTQipL62941b91YhkM+x+iaVivGOtFoa8a1/uN+QLLHn1zk5aBXW+sAo2GOOFRjCJKo+31re0PoYVgryIoORdZXWdfxU2eb8xBtT4jA+8GUaTQlbQ/mr/aX28fkZUc4679nnTB0je0/rc4HpbrOIV+jsMN1XdZF1IDKcqOG0NEroNm2oP8iKCkRe/Bf4uXPJW63s0ScNnfMDNkFhWIpmgFrayXy5AUe9w3ZXK+M+ag+R9xIiPNRe9sHp6X9ZfJze0K/2BrADriMa8BnkRQcibig9urZIcJnmvOyAQH3AzLJEompJPtZqhqHJ0lMESP7Xr8tqPoM3nyQ9ZJf+g1/jo/vbE/qfxt7Ofn4C8iCDk/Y74Aj/gymtPdQ9y0rsOJm+H5QLxATfD67SPJWT5Vfw1emRAj1g3edNv/Zq89sPfhnphsl0D6uYlh6sl4/svx7fYPSEgLyIIecmRgZ3THKa+724/oeNNO7Tf2i5QlOdfVaaWu+HuJLM4MHk3bdq0tNJbq9Ufm9yVd6hEc9zKxIfYpgbtc3BXYGSOJq81qNEcOIElhtDX3OyCV/oPvv9sfIs94g3kRQQhL5m36+Y0h6nvu6/aqrzVXfttRk/FW33PiWuPpz/+llkcmLwxNu7KO4YRMhnrdFXR0unxl29VGe+3fk3eIVZ8Nb0Qq08f5tgfr5S4kF6Ab7E7J0BeRBDyPoA3qNQgzWHq++5airL6Ie234yWz9tf2pp9RzvcebRYHJq8oATcDkzGnhix/ib3UH9YWp6MMmJHjDJq89viE7kapfdOgP/HFR8TfSux/EH+7/WZp3OLPF2/z/+EMQF5MXiL1ovRgmsMEzN3NFGUNkle5ZcubY5Wscbc2aTbaLI4QeeMliqdlOSHWfjkORfWgowz8d/Rq8p6pY8abTyCsKczG3dlRbFbou2QF2Jnifr3k7Pv6tItaU5zHEAXaDCb5X95lxBc43VHe5pa848c236t81SRRmTLaLI4QeeVHJRL1VHjCVqnQWBSUeL3Ew8fAdRPUVbZVn7GGXbO+pBfcbNpvX9q2oNbhxIb6jkQFB+yULw13ySKAvJi85xtgX2DlJAF5d1ar51Xeecx78rZhkSYvNTKnn2pqGbxgtB5Vgicv9Sj3tUoxhYo2WGEXbK5eWJKKND8uLyxbSJKuwVOiftepcummb9mXt5ONKlvFz6xepFCRWuYk4lfw9xulFvyNp/yJFbIX5MXkTcNzZCxO48g7xJR3w0foh7fyOEVJbhXb+qsGcUZxHsqb+O49tW8bbFwzriZnD99GP02LQSl6T3KSS0vSH3itx6sapY+YJcOMgsLmQ49Y50xOHxsh95ujyFqgHrOvyTdcJKe0JApu8bFesr9m4FEA5E1barXeh2Gdw+YXkWb4+2b90D9Ar2pIJMvXUgVV1KDk9jx3zYtQHftCuY9e8Ca7Q0Wnb+FLNra1Wny2LllW68xnVNR7TjX6bQYuuZJ3/efrnJYQpeU9s+qLP/iRYRiYs68raroOf4R3AqZfRJrBSvezRiYz4yJub0mXbLPPizTY8EXs2rSwflKn01Zr0CMXDE5W5sQukeXFdNmiVlRBfYGvODzyHtQOranDKFFK3t+1/5SdHCZchWFI5NlfF6w6Fd7B6AIINMOP1hevZbx5mtajKJO+/wnueiqI+Xa1+OA0lEpnEm8Hh+md3P8ct8nk4xKNXkyUQHb28MjbBh1OM/65l5T3pJ5hpT+/3vw4GF0IgWYYa33vpWV83WET5lFwC/xxLskEu1p8t0paATe7WSF+WzOSalxrCoFxOxPlMKXfbzPwCV7eHcbx8NfUIOU1O775K9KAvM7NgGWcTnFQjKS+fNRp0/NWrUl48Q1aSU3uHvzFB7vwQotyjq46E8XJbUYTFnnNQf1fc2NJec0Ucnu5seGegJkXq75zEWiG163vvYL6qh0tQyHmzNtaTuF6KJlD1xF4p4V2j8cfAuxw5h3Mi72ec3T0pCVJ+t7/VxwWefcax7OVG0vKa/ShlOaPKM2PU9+FEGiGDdb3ruWmeYmW4T/X0iVDORIZLLKrxee3oaQ3n/J2qMBv6wW82DuY5GiSNJCJ+sv/Vxyea179KWQnfiwp7xl9gP1ofmwIk45E0KrvHESa4THze49TXxymZWh9H11yUJaX0WUG2EXbDLu0iP7c7GrODu/w2zqpNid2A35zafA9fXTNBL7i8Mh7sp96OD2O8mOp3oa92sd4kc5jaADXvD6a4bQ+FLzyd+gVtRxQ4a1xVBfXLVoU947KmiSEsJ/avqYXMOPc1fstp2+BSZmGOjnklKZkWZOUlVTUlwJfsSvyHtxEL1fL9POe2HhMdoB5SHFoYwI3UAZ5/TTDd4PadZlq3DrtuoqQoRN2ZkYUidOikolhkiYH8UqT79ILY8aaJXOMy+ernzMuiFsR48wJfjaeST+td6BLhQegYkrqX+l7u3t9fbX+moGDg7yJk7Q7xbrTiHNltD5hS0uZ3qaUdGPLSYnRKO+u7qUk6bY5xqt5+Jm2tlaCL7ISY4Ztfb4187d9IllvV62m/3xovTZnvlW8x/jlJsdEDynmxWzNHevblPxP6XuN+x7qKZ16g3gK/1NRX2i5zFzLe8Ts574Hf64QrfL+Yj7Hr7Qw+uRdY8zUfcp4vdy+OG2rnxrth8HFvsF2rCpRXEvUaz65M/PoLKTDJamh04xNu/O5Nr4M2/GK5P5afp1TXa2XDzn+mXcMidQAACAASURBVBZoBi58ee+x3vExrDQ38u6aOHSm03VDiOXFn1pOjzZ5E63RDPPMkl6oh6Fwne/MmB/roT/013bHu9GPk0N4NH7ENlsnyRj9/HqW7ZOVpMn8tsaHnI/Fypmh8ui0/pO+/Mr9As8nnJuBD1devC8E+8S5kHeeVlUNfjdviOX9k2jPX6NMXvuruNMu3PP1Rz8RZ8WkVdM+p8YbMjn5JKkvttk+SerzJb7nuKs98uUxGQuphZUzq7h01csTd2zZ4XjDw5BbeTthB4DdowYvr/F/tQ0/NrTydiTa87ZUZ3mX9g5QPppA5T1HkHmOg51l5Aas9IqXF0swRGJog222b/zqodfMwseI/3Gr7ouHnLHLmSWPWxobUpU0v8drwW0GPuk5nEL8WeHtdvGlS+L15qTjr8w/KCe4sQEcbpqSyt/At0OV9xDVoL8z8lqz3cMu7xWC7CscsIy8l+3STIUXSzCAVbElttm+76uBXnMH5kgXuFUT04wS7PKm9O63GxsylAy/x2vBbQY+WV5OIf78pb5d7PGI1+vNwl+9b1R2lBsbwOE6NgPfDlXeT6gGHW/Lu2Bwt1btTmiz3ZV5NUs/71Xl3VL50Pp2SGNjY0jlFfgDZGe/qYmVXvL6/Rs1VmLAU+3ZT+b0yxHuEzaHAb14R1xJbFwWk87aHEEc1tnD+DNpLCVK8JcNq4zG4PcchvSyYRzVoE9g8l61X5l2nzZ5Ym/s6aS6PyztHV95q2LKq2/Ma3n3WgeOZ10QkHedxPCOWny2X8kihWKue8B+hPw5Cqf/QCEcRgFiywMRN/Sv0vu/qpWeXdy/1c0t+y4QnH+Za3nxL3yaXZyLGzZ9GYP5/NiQyvsK1aC9MXlVTdOLZKjyjh+rKH/sXnpfjZGKJa++Ma/ltc6gtfBHmf7l/Wsl87y3sHqPN8zsgyhkXjcYaXHYgQkqf1rVrRr/0hz7FrGNHbIJe8+t9P5aqr7l5ppttRb6O2ZfzcCFK+9R+7qhGnabmAt5E8fWvqEpf/xZiOWllt2TRmPyaosKl0xU5X3yY+31UmlYmTQk75Le5sY8l1eeiA67DdFT40/e7+kpDBr3EDn5JF3jFqaSCdYVq3VF8bFZ3QtoyHvhluYzugPVzJBpxNtSYyW16XF4z8QY3wftuxl48Pt57WfSa7DSqHxIsZdsUOknTN67FeXCVVmqvGMmKsqOzUu7KA+OV9a3VZSZvc2NeS+vfHjehKkbyCI/8lKJUHUK/SM/zpYONBdE2X+zWfSAPuS9upmXL9FK5FDUnGv8l355G0uNVdgfi1cdu49aHkia6vOo/TQDB4fHw6v1h463438VolPeNPIkVOscJm+h37JfeES75t1aPen87YvUi4UD1yXuvC7lYuPe5sYIkJeDb3n5PQfS+8yfdY36eiLTU1ja0m7rXxs0arF1lXCzveUqa5H3TROHjlrAdN6uwW71K62W5b+pNxOZ++7CwJzklWMGjf2JnOITnfKSdy6LsIcUCzq0K9MuAc12n1m13PAcrats4KCcJ0reMW+0uTEK5WVmaRpUr8Yt1u/I8YUBpcV4dTPwLdgMyox/ee/d2oy8UxOV7mzuKfDZ8u3U95VdWnZbw93iLG/au1jrvYA/Hl7wlA+xfG50IDLkfU5ywCH1qZYf+gyRuqQ1Xh05YMEerMOVV71B611Vkqr2QvlNU+hpxgL5rfOtvLqG3D4Lvh36wBy7q3dSWgGQ9yYpMJ6WmYVasOFYyaTyw6wNDvLiMCtvSfwzD0E+lddIM1eB99+Xb4cxJPLQUC39VoUBe6NxSCQPn/LeEKC82ijbD8kiLMXGdnLLA9YGAXmp/xKS0Gj0fCqvmU5+LWcb3w57MPqJP49E62B0Dq7KqyXgowaEYQlJqbNnB2uDgLzMvCBj0Qyf5FN5zZkqv3G28e3IFzMpOPiUtyGjjG+GyuRDM4mY7ZZMDq20V7wUkJcc0Kexzv9nM5sh0XlNcJNokveI3gCVeQ8a+XZE/9R3Pj7l5c4B0mBH+CJWq/skEYuw3INXV4UItucSCcjLDIgvK5BpDzXDksfLStIN7Wb6fqYcTfIaXd7cRW1CImOgRIa8BxzcrVOHW/wo2okYArISr24uvgWbk+kk7773R4yYsU//nf5/NEDgs6nNsNdK0FbzJ1+hUSWv/NuTHQbx8/Xx7cjhj2LLtaUORIa88vsSlzl7eKVN9amdidh4xqfI6rBcfsWwSZx8ef8ypv10QxkaDlUg38zI9L/nzf59Jjgl+vfIm/AHdZ/5+KDRJW+BnD3Mwc/jYU66Ukm6+pjMJgG5caTZdRNvOfoE9bc92Uo59h/8Vpkr71brIqMKWr/iK+Ld9MESSUZHdK+TnArUZognZyStdv6cBUPe/W8PeKTvf3cUFHnl9eQqMjojyRG3+qizp6yryqR30HzjpovZ6t5EHRhFHiBSl/HkPYZNY6iBhsHhiSIfRDHJ1tSWpty5QR7qv9gtzjPwcyevQxYRObLk3dPZaIc2mwqIvLJ8Yh2TOk+7W5pUxHhRyFy3ohe20+71GxwWXdk5czKdZownL5GOShuAfIS4bjigxWDjzJ7jvVUCfdzOQylzIe/ZN6tIsa853A9GkLzfYqNF5hQUeWXOBS66DxtTuVhM0dL97BXd8EsBY9V3ITjyJpfH367cWWpgBJpmn4xP0+FNhicHokm+BkTkQl59epXDWuKRI+8aoiW+KijyMmnKyZnsdrqnkVhpLuXdRL7fRlnuShRoj0PW4wW8ZxbP0IftnE49eHnNNcH4eVUiRt5ksp9SOlxA5KUH4UvkRCL7HNkDK82lvFSGv29kuTVRoM3aIJKb8BJD0Kt1oazafIKX9yejbs4FvhxB8v6XaorBDvLOfzpA85SsYnRJJMk7l3aATBBir8zyJFaaS3mp53Q/EosKqjRXY1bgBTM59faRKKo6HkLw8m406v6ZGxsx8tanmqLcuYIh7ypW3o+wzfakCnOtwLNf9KhXpvytz/C/TxaOvNQsTvXm73mi4Ak6ZiOnXmbac2tOkE7w8qboz9Br8+/YIkXeI8xX+Lslb2b/0mVnmBMu53ftUKrNcWMSvPJFzfL90rBl4c2J8PpS8HpQZ6lpBMtLjtBFoJv9xG9eGfzyZ0d/MQtjjd7WZfXMkraOyzYR8HobiDUztDn1q4kDWKrFYElgGvHq3SBRvM6LQuTihm2L1plchTdKRo4ceTfSTaHespnyLmxx8UCRi6a8hX/3DLvfmAT/V5m/Pd3GYMvCGxPhjaXg9aDIPvPKfekPrsmUNNG42H1mvP6z4io9+g0ssCLzAH5i/ZLXxfYkcqRy5f0Jfz+UKOx+rKAlitlhj25fxTvudHo88n5eFCI3/byn54yZfYIfGjHy0ovsSdI8S94v6+7yWlPd59+jKBeKePRJ8FOeU5Rd9bBl4Y2J8MZS8HpQhMu7m/7g6vXAUfvUWPuT+0tKFfobt9vUE2VyzPh31+mlMYPwUu4TNmzqp96L8Xc1q6CysY7VD2ZnGT8TgodKcz3C+SPm9yds7CiVVZa8nkmlq8/2GlPd5/dXS0om6ZPgX3pbNasEtjixMRHeWApeD4pweeWp5Od+Vr2sbYu9rnnIDt1GtRGe8ED+0k4NhWeH5sqL9SUY3WB7zDWC6u8wgw4OLCdJpXvE8Q/bQyVbHej8CfO7vKnMao1nLHkTUjLXVtppTHVHZ95i2fok+KnDFGVPHVzeu9FEeGMpeD0o0uUl75YePUvrjCWN7CxR/NfedhRPxv6aXc6Tl5j7aaQsSZ7dtoRUovV0YsTEPwedlk6VPdTFehGHh35y/pc3jc4E09nuKnujXcaFOmuMqe7zC/+WNby7MQn+YNkjWT1H4PLqE+GNpeD1oKwYenhahMkrz7Ifzo5VZUmm/iNbPfRsrqe6diVEb9fVdjlPXiIFXzer+LwngFxlVH+btTgyh3wvL/3F/GHL++99N5YbmWNMdV8xvk2ZDmeNSfDK5zUq9E7FloU3JsIbS8HrQd729SJcXvnwy+jup+qzKN8OrcXbZhidjFDCMz2RC8R+bpVz5E0ohYeWtuZjBJRoj0xJq1LeMTTfy5v2AdESrwT3eFhsLnHEyatyZNv2f4xf36WssFIvj5EYlprbTpDl9vM4jrxUcj9rMGNA8jJD5os6huZ/eYk8kU+lFjR55dRL5m909/9D5gZmPW5JMldmIcci4DOEOPJS/QRWbrqA5KUWtnBch1MuEPKmLapmNEOlDwvMkEgbW176zGvdsXHOvMvMbcfJ8u5WvRx5qX7JX8xyOPMighuMLn/66E2l6naYeaagDEbHseWlr3mtYTHMSiiSZCUlo5bG9HnNe5qsw5r+G5C8D9KHUs4xtEDIW9CmARHY8p6l/iLvNjfE077oK7zpEEuwFrPLeb0N3fBYO+90QPIymUpCMp7XJxEi7yUeUbX2MJfg5CWS5UpSbzuGucOfYG87jPfzYgPTePISiRrsk3dgaf1Lk4cSQy/EapO/5Q0zkS5v0l2YFDWwzn86+WlVfEU3bNHNu7Fi7hO2L+w67AuMAOUlJ206rS2gkb/lLZhT30kweeXDVkIEqRYx9Zy6l/uFqGFZceMciC/kxpcXW5YCy4MemLxLyWN52Tk0f8trXfOeWLt0zeGCfs2rcmackRpn4GEyikg6soiqIvmVutcXr9CFTA3Nk5e4JbTzhQQkb0YD6s/AAcfQgiDv+Y/05Y1umSIXdHll+dSCUU+88CE7XuAba6HtOzcL1cuTFx/4I91lFQckLzURjlnwG6MAyLvLzjxXfX2Bl9eRpLldapW48aanVvoPRXDkPUxaZ/0PCUheeu0x7D8BTf6Xdz0xHGUJyOuDXM5ho6YeWctWByQvM4g+FHPYfBMx8v4TSzbFNpDXGXdnD1tTcwOSNyyzh30TMfLSyze1KOjyfvlCt2dnOaQadTdvw+9G8eudmz/0qnNyJQoX8jYkzx7adfg8siwa5d1ON4W0oiDLe/g+Pd9T4Vu4SRpzmzGHyPJbDvkaZ+bNqLCBiefCPKvu4RjKl3dXU71jukjr3YsG3t+26yTUSxKN8tKrt0pSvwIs75wiVjPEDOPE5lJeMh/vcK1kKFbQm92BAzVAQpK+cgzlyjvefqZirgXT42B0ynsX3RRSdf7U97YLFOX5V3OjbuTLS6Y+7cLG5lbeozWwdtayRD5GvOPd7B4sngHk99UwsCyRbBpXlSrrolLeWswHKZHKnfo+o6firb4nN+pGvLw/xpAtwXag5lZeLC90rJZQZArV9iM5u9B44qsR+/ziHMqRdybPXUmqtCsa5WXmX0rSOe7U9+Mls/bX9uZG3YiXl0pTLhU9TcfmWl55/yN63Q+jbAtFqHcsLHDb5pE34F/aHB+hrLzJ/5H43BGN8jZhPkZ5/tR35ZYtb47NjblKpMv7JdMUzJiX3Mur3i+9M3ToO/qT5KHMOz7qv161GXa1MOOr0VmBCVh5RzLvaLIiCuV9ivkU7flT35XxY5vvzY25im951wzq9VqSouwa0vdDa0hm0M0QlLx3sv+P6Vg35MUozbzjdf7rRc2wsHNJ9QLvrnd9L/fKyludeUeTHlEo7wrmU8zkT31Xdlarl8urBl/yJjyWmDH3FeVyr3jPhJV5I29JpikK07Euy8uuneU8H83CbIZTh3yGabDyXsW8o0mlKJT3wi3Uh4hN5k99V7yVx+XSXV/y7vxQUU71VTZOUJQ/R6mvz48ePfrnDIKcDGGyFPHYzCzjl6vZbzSFivVmi9eb4/EbwnFIoF7xQ8j20iUOa4OLvbNFQM0gHpqpODSZk7xpP1GfYW6ePWHLnPqx8u1s9SQ8QH3xb58+fRZnEXizhMlRxGOzc4xfirFfaDIV682h93ZG4HB5CrlRrwnbDD7kTRevV3G3GUyylWyH9+OiDcwhu2uey6uBOd7Nz8zPVr79SJW3v1kW9B+goC4b2DWJmT/i/i4bEhaO7P3E6OXo4TJ52ZCyZtzAHi/MOUKEB3/ZkPhm63o1WgyLl099PqLngFe+5/dSsJcNdPeGTbkovGxQwRPcjwsyb4MYPuT1vj8mQf2xcaKi7B5pFgbdDEHJ24z5QkvRsb7lPTHKSCNW4Y1EUt6UT821h/rhCUnZ/y7X+D9etRlOPmr2SJvPmyu/wxuNwcrL6Rk16BKd8qbFPWR8gLvW59lg9O0vZmZnZyuXeyd4J68wC4NuhqDkZVep6ErH+pT3j9r2no324fKe6mRvqbTc3qMn847t/B+vR952PbOfJLXi5Ntj5eWkTzFYEKXypqUd/vClJ4ZPP5CH04DmdVLppd6tDR38QR51lck3Ut9nkcN0rC954/A1qKRqf9vyJrYiql1q7XKWvm4odJxXM4lnD+fiXKXuUSaUlfd0UQd3b7kQtfJC3gaNL6gvdCgT60PexHrkznekW/JSwwkq2utD0UnOKwocr6esg38PMqGcx8NdHHbeGH1P2MJMhMtLPfFqycb6kHcSrcNXpryb6S1WSqjjzM2/c4p+izfofSyW0qGcM28sd8+Ky6JwYE6YiXR55bHY0JyHObHO8qYwt0JNTHmZtackc/GKh5gtLfwfbylmJ5O2dCgrL39cTptt0TgkMsxEvLzy1obGZWglZtEUDWd5V7NK7NO3JNPjfSTpPWOna5ktxZzqt+AsO2tBX/Wy8nZg9rmu5VC0OBfI64fIl1f9U/5ap+YPDtvHj3WWdzqrkpHBdB+7ZYCxE9vPK/k93Gk+5KWXiGPlZa8aGhhbQF4/RIO8PnGWl5MFdbq+ZQ27pYOxE8c/v2Min/MhLzUtjSMvu485fRPk9UM+lvc1VovZ+hZ2pTtr4CPHP7+HMMqHvAupWFZe9rFIZWMLyOuHfCwvJ4Xvd/qWw+yWocZOMcwW9Hh48yttb6p79wv2Ym8J83s0q9744Zlav/OnPuT9nTwmjrxMZmqp0PUNXtOeziF5k5c+1aLWzQ+8tXfXPcVjCsVcc9dW7ocFeQUIuhnCL+9+ViVzHkZDZouZsKESs6WkLO+y1s1qYyw9/IF5pVp+7Bk5kXOhbFCWvuZg5X2Su+PVE3V5l9H9zpJUnzdiGOQVIOhmyIOkI83pr/1xs6uMWem6grkE4euMKwPt9S81tDUwz/TGCu48xDzYsHmCPiZW3u8cdm2nycskktIoup39rCCvAEE3Qx7Iu5L+1veY8h6nT7CTrJ3oIcRX0euzLJHlXkRBs0TONbT5jvQxcZ6wsbPFdR5KS/svf8tVp5hKQF4Bgm6GvEj3ROUQG22Pbfic3NLc/ku8gBJlVgI1T6fiP/RwoWc97KMNncnMIXHk3cYsJmTwyW8OG6TqTCUgrwBBN0NeyJvYDv/Ge6Rgo8rI/AJLsZ3aEFsayRNpc/ozPbPxnItojcHsIfHyNizj7ixJN9zhsEGSfqDrAHkFCLoZ8iTRXhK2Eu74FGxIJLXKELa69hny6Vu54zUkiusYlcbK8sMcw6ZwjoibMed3tsfBDzfRVYC8AgTdDHmUJXJzdzTiq/wAbWa7Le8QSgb7Ke5yasubkn8aqfuta4h62QpXHvcoGv9eeTA3PTo/V9mZd24PTN4idA0grwBBN0OepThN2rxs5TY9/5ItL/0H2crLK0+gtnSS/HMj2jN5+eSxX55Qf0nctOT7HQ5LxDumOI1/OyB76d1BXgGCbobIys9LjfRFHWA6dNaRFpIAJ4QPwTk/L2coBsjrm3wsb7zZHXrEnAxhy0tPjlth7fQyteUBEZWM0+xJM2/Dyi1OB3WaMzVI5+tcyZviPyWFSXKi77woOCAvIrzyJg0qr40qv+budW+2ul69b287XfvCbHnpAb3o+vTAyzezljhnY7LRFt9M+qD9DZJUoumEJaXRePbCtZkZS8ZBFW/DTTR8MBB3idwr/7zaSC0q2fFT5+SUFtuHadP6yvdY7j9UA+RFhFXemeycsqqLcXkXkhubqEXJrzL7aBws71+loeq5ls3taS9RrzPDOqjCHUzN/n6v132Pj1iNfi/h/40sYu1qUyZaR1h/tZ/GSrSnP929208sAuRFhFPeZ7lf+BuYvMnkymkL1O+VWf0acQdbWXsmaKv8PnfnGvhBEbOEq6BRFonDjZettCETvejdizn3oL1vVZtE5BOe67OtDjXFQiv/KtC6IC8ijPJOdfjGP8UeUhDTLLTxkD34+xRaF09Pu/iDTl3/sGexwzu2tg+K6kxoqBYdxlz6WlWZTj8yiloV1uZ6u15qKqm9DCLLGfJBdGWBcy/IiwifvEedctCUP4Xd1WDZU+9VT4PznTy5ls6zOlk+05IoqP5PitMDXskaQ3mYPqjX5LNt8Ne/y6fpkOFp7Fw7nY7Wx/iG2lI1QXaE7gVs4791QV5E+ORlJ4WZPIvfkm80+nrLTzirXkbUdtxp8jZyQvFCWY7HUyhX2yzzr5Y1rFPk/fSW/1CXGk1SutEhRc8ldqbLDKzeDOYWc5LsxDFm5p7/uzaQFxE+eZ0yjauekrfjv73avdPAT49pv65y3Eeq2Jp8XVMNT7AvYDv/4yvFrtWlxea7/Kom+fpbNunOLDnldf794gijWnY82y2OLfUxE+u8aJEJyIsIm7xMTgYMx3sUuncXo/A11Gv0PyDuRe2Wr/pA7f5+m493HKvXv4HdQo+EZJbR1C+Z48c343RD3GYcNzNqSJL+dvqM3ZlQJlM3A8iLCJu8H/pQ6VOnWtgUZTZ0GhKrl/ao8WxiqY+djcQNnOQMVajXdFZmye6toEPtOZqchYQcu8tasbE+LpB1QF5E2OTlzLu0mOZUi9OAXB7L6J3n+ghuqIcwUzdU/6jXVdkQ88zIJog3L0eY62Q0WJ4PZ9jmQadYE5AXETZ55/lQaYFTLU/42Ik+8zIJJJwm8mh00kM4czTppxpsOlepnvEG7N1kJWMLp0d7o9NnbMPG+p3VD/IiwibvAR8q/eFUi3O2MakIdd4ryuzs6x2NCxVOmhN6tW3Oc2izR4x9fmKubfgeu5PjICH2EqO239YFeRHh623g/JE1qOU4emWH4z7STdSNTnN2b3bxMQszhM7VKkmbqGGZW9h+BXOgJvv87i1jC/v/hsmOZsFemg/127ogLyJ88r7AfEkmU52HXrV13Onnk8R6PTE72Z2dEzfUMkOG0VsqUHs1YiculzSTjhyjH4JUsMamdaR3+tLxIyYxT5u5A4QIQF5EGB8P87KUI5NSneVd77CPph8x4ZK3nOsVzmg0HSszdTI9eWjZCWrC/NcyHTLXyphDryk7wXrrP6gtd/hoKvpp80A/TSuDvAZhlHe9w/Phjb7WYXuHv09RbSjlRDuPziDevp6d/Mzo+OzhdeRBDZRfpGJjD5ahSt605E0hE1B3wB62zCa2VOHOPTIhk6o18dtRBvIahHNU2Te8TPmxP/teRPAtnn1X64u6rjZmYZb/hrurh158zAQfJvM1flC9OCmn2tEFFeypRIl4n1hnIm0DPgOjtu8LgWTc3jsdh8VjgLyIsI7n3WX1aVrnu277/a2A+RM7CfI2qy/pwKhODz3HyVSD8DC5eQyImzv7oK6fTZ8xNdjH2niP8ixzwn3ladT0uNXWuz/NroFBscDsdasw/oy/WA2QFxHmaUBrH6lQvFipJtPljWPaN2zUYUKcVuhn+daUH4e2valp52l//dWpRJFCMdfdz+S7ccBzDeOdDrUM1tqHK1x7dakmM7TfOU+DGV7Ad074om+rm1r2nsdmy5FXPd+uYbOOUwQWIJCTljx1V4PmXWcf8R+qAfIiImsCpl/OKxfE6/U4ZdpjFyC0JmDeKyAvs26XMzABU4CgmyFfy+u0BKsPeZ0ylOHw1uBwAOQVIOhmiCp5j81/ffSEz5gZlE54nJZSY5/GWfJ2FZD3afKg5o0fPm4u/vd+w9QRL01ejS6BQV4Bgm6GKJJ3lylWZ/+9+AiP02SzOkyoJa9DAkiCj7Ad/3zcPB0bB5U82xgQHDv1DMgrRNDNED3yzsH0eVeoXo/TrLl3mFBL3p0C8mKLb+Jp3tHKRYfb2AWN9oG8IgTdDFEjL/m0YpxIvZ7TxBNki6tOM6F2xhz/eaQG2GtSkP87XlOvIYjnc1X2g7wCBN0M0SLvj5RBi/3vIns4w2oR7DwbW944f+5WPmTJ+z21aQk9J65xJsjrn6CbIUrkTaaHKdQU6Mz/3VFAehk2PFfZ637kXWitBpRMjyOvTafAlj4Bef0TdDNEibz0VHJJmuO/Xud5GPfToZi8PqZtIp6x5GXTmDHD02uCvP4JuhmiRF72wVdnv/uc8GHgcSrWlpeznhZJufOmvL39harsEG8GkDfQZogSedlpkFX87uNj3ry0ioq15fWftXqLKS9/0QCS2eLNUGDlvUSQfUkYj+I/xiTdIx6bkyUem3XZbwg7naHERX/7LPLh1CIqNtNr/jbIr48rMozQsgLyThBvhgC+tXTlCn9DSGQMlEDlvUCQdUGYdK947KUr4rHZHvHYzFS/IewigiX87uOUqUzjayo2I8f87Rm/Pn532QhlF6ln+a94MwTwrV1SLvI3hETGQIHLBpLGjBU1/e6z1odTa6lY+7Jhhl8f/zQvG24TkPczNS75+2EdmrUfuNhP8ugCe9kQdDNEibx0Vn9J6uN3nzPOf9bL0B7Z8p52XvRVp4rV20Av/8LjL1leZC5WEPu+w4oYOiBvoM0QJfL+wljBnzxB4JTMUZK606FYVxl7kid5zZL3Z2YbM1+5yZVkfI7nw5xRvxYgb6DNECXyyvdQVjT1eRLTcU7cwIzsweTd5ZSKVafuaUteZm5zszV09PdXyNNzex8p/kHeQJshWuSlF1NdL1CvZ5SDgKOZUHw1oDkxDrtpVN4m2/L+QR3UBpnqq+icQy1UIL3q43AFPpIByIuIFnnlJYQD8/3voDZDymMSj8fYszaxlNUS52yszXbLmLzUg7/PZTnpPrygycl0Zk0M53nEzcMR7AAABxhJREFUIG+gzRA18sqr7ZR3lb8Xqtcjp4zgCDiKc8VBrsOWNKQC77at4iNfaVsxeeVf7YOKRQsPJ2Fdbd1Py98ylYz1cbjCgLyI6JFXPj1Bn+ledYzg4oBaM2zpoqd9vGucnoy69GNbeaHsIoJtGO3M2T+4vPLp1/SxEFVfOWmUrDey5dyjZYUawNTS1OfhCgLyIqJIXpXt33y+2HEhQAa9GRJ+njt7pbaM4KGVs+f+7JDRg5WXfaZnJock5NUOatGshcT/iFM/ffrR9yizu8xOvr/Rz+EKAfIiokveACdgioey8rJXDSWNLbS8vuAMUWNHwgd+uCAvAuRFsPKySS2rGlsCkZeTV92xjw/kDbQZQF4EK28DxjozWV4g8rJDiqu7cbggLwLkRbDyPsdoZ86bC0RedqTEk24cLsiLAHkRrLxsctU4Y0sg8p5manFeCxPkDbQZQF4EK6/8CGXdAHNDIPLmPE/V0t6VwwV5ESAvgiPvX+Q6QHWtVI8ByUtNt4jd68rhgrwIkBfBkVfeEItZV8OejBaQvFd242l7Kq/xEQvyBtoMIC+CJ6+83x411hFL+RyYvPIRe32hO30u6A7yBtoMIC+CK68sL39ce7hctidxlxWgvLL8ax/tcV2pR/wMQQZ5A20GkBfhIK/K4Z10XvOA5VU5vtN/tn6QN9BmAHkRzvKyBCOvCCBvoM1QgORNWj1jLndImQzyugrIyyd4eb+pg4boFm0RxwsFeV0E5OUTrLyn7WnqMX05oSCvi4C8fIKU93gp/EkBZ5likNdFQF4+QcpLDav1lZ/XPyCvH0BePsHJy8wiZuYeg7wuAvLyCU5eZjZwAzoU5HURkJdPUPIuo92VCidRoSCvi4C8fIKS91FGXi3FAgHI6yIgL5+g5G3GykvnzAF5XQTk5ROUvPRiLCpDqFCQ10VAXj5ByUsn6VOZSoWCvC4C8vIJSt7RrLxxVCjI6yIgL5+g5D3KJB4rQYeCvC4C8vIJrp/3dlrekXQoyOsiIC+f4OTdSeWLLsmEgrwuAvLyCXJsw0zC3au2M6Egr4uAvHyCHRI5DTv3Fl/HhoK8LgLy8gl6MPqmmwx1C7enl27VAHldBOTlk4tpQHFPNKxQ5fZR9HRKHZDXRUBePjABEwHyIkBeBMjrIiAvH5AXAfIiQF4EyOsiIC8fkBcB8iJAXgTI6yIgLx+QF5G/5A2aP2eHpt5F60JS7b8zE0NS75Z5IalWmbclJNUmzPxfSOp1h7DJ+0Wr0NTbc1JIqj3c+M+Q1DurQ0iqVTrMCkm1OxsfCUm97gDy8gF5ESAvAuRFgLwuEjZ500JzDakknwtJtZkJnpDUm5oUkmqVpNSQVJuRkBmSet0hbPICgNuAvEDUAvICUUu45F0zqNdr7l/ueb/u1+vNNNer1dgxOBS1vtipU6eP3a82YXTPsSG49l/aSeO8+xW7RJjkTXgsMWPuK65Xu6+/nP7WZ65Xq5I8YFAoqu2Z6vFku15rzqC4rI/fc71aJdvj8Wyf4X69bhEmeXd+qCin+rpe7al9Svb8UDyzyhy1JhTyXuwTgkoVZferipIVmu6G9PHpIanXFcJ3zZs5NQR/L5W1jzxzJQTVzv7xRCjkPdx7WPfx7l89/TTx1R5jElyvVmPu1pBU6w7hkte7+Zn57v+9VPnfrOnuV7phijck8p74Ku3SF6Ncr3Zp3/iMb0a6Xq3KmRe9oajWJcIkr/f9kJwZ1qxXlKMhsGxy917dO/dy/04lw6Mo5x5z3Ye1U0JSrcqin0NQqWuESd7tL2ZmZ7t/5t347OWceVNdr1YjJGfedc9fSF88wfVqz/WPz1g0zvVq1XPO05Hb1aCETd55Wp9LL9er9X7Wr9/kC65XqxESeb1f9Ok9OQR9Wluf6TkxFENs44eEoFL3gIcUQNQC8gJRC8gLRC0gLxC1gLxA1ALyAlELyAtELSAvELWAvMIUX8OWZUlx4T8QwADkFab4muPSR1QZyJuXgLzCFF9zbvQfVBnIm5eAvCL8c+/1t36nXjbEbFK+b3R11elKXKlNzUu2OQjy5ikgrwAXy937+/KqhTR5T141avtkaWtc0ZbHL48ulQry5iUgrwAf35CqKD9LmryrpeOKd+mROGmVomRXnwXy5iUgrwDPt1f/SUfypjUt3vvzy0qc9K9a9PgQkDcvAXkFeEmTNwNdNijejc/UKPVTnJSiFj38NMibl4C8AnxaMk1R1qIz7/qpipLT8ZE4aZmiXC4zA+TNS0BeAS6Vf2DLj7Wv0eT9tdD7e1ZUnxAnxa7c2rHkBZA3LwF5RYi/9/qG3/bcrsrrnVKtaOURnjjpx5uvvfsAdJXlKSBvUMRJWXl9CADIGxwgbyQA8gYFyBsJgLxA1ALyAlELyAtELSAvELWAvEDUAvICUQvIC0QtIC8Qtfwft1sMtilgpXsAAAAASUVORK5CYII=)
Change the transparentcy or shape.
# Left
ggplot(data = mpg) +
geom_point(mapping = aes(x = displ, y = hwy, alpha = class))
![](data:image/png;base64,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)
# Right
ggplot(data = mpg) +
geom_point(mapping = aes(x = displ, y = hwy, shape = class))
![](data:image/png;base64,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)
Specify color.
ggplot(data = mpg) +
geom_point(mapping = aes(x = displ, y = hwy), color = "blue")
![](data:image/png;base64,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)
Faceting, spliting a plot into separate plots for different levels of a categorical variable.
ggplot(data = mpg) +
geom_point(mapping = aes(x = displ, y = hwy)) +
facet_wrap(~ class, nrow = 2)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAArwAAAGwCAMAAAB8TkaXAAADAFBMVEUAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQkKCgoLCwsMDAwNDQ0ODg4PDw8QEBARERESEhITExMUFBQVFRUWFhYXFxcYGBgZGRkaGhobGxscHBwdHR0eHh4fHx8gICAhISEiIiIjIyMkJCQlJSUmJiYnJycoKCgpKSkqKiorKyssLCwtLS0uLi4vLy8wMDAxMTEyMjIzMzM0NDQ1NTU2NjY3Nzc4ODg5OTk6Ojo7Ozs8PDw9PT0+Pj4/Pz9AQEBBQUFCQkJDQ0NERERFRUVGRkZHR0dISEhJSUlKSkpLS0tMTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+AgICBgYGCgoKDg4OEhISFhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OUlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWmpqanp6eoqKipqamqqqqrq6usrKytra2urq6vr6+wsLCxsbGysrKzs7O0tLS1tbW2tra3t7e4uLi5ubm6urq7u7u8vLy9vb2+vr6/v7/AwMDBwcHCwsLDw8PExMTFxcXGxsbHx8fIyMjJycnKysrLy8vMzMzNzc3Ozs7Pz8/Q0NDR0dHS0tLT09PU1NTV1dXW1tbX19fY2NjZ2dna2trb29vc3Nzd3d3e3t7f39/g4ODh4eHi4uLj4+Pk5OTl5eXm5ubn5+fo6Ojp6enq6urr6+vs7Ozt7e3u7u7v7+/w8PDx8fHy8vLz8/P09PT19fX29vb39/f4+Pj5+fn6+vr7+/v8/Pz9/f3+/v7////isF19AAAACXBIWXMAAA7DAAAOwwHHb6hkAAAgAElEQVR4nO2deWDU1PbHAyiiiAvuYMEVBauoBeG5AO6CrA+eSFkEZV8UBEVFUPwJPMCNVXysbogo5SFbpSJQkFUQWUrzENlaSgl0b2fpdPLLvTeTnMwk05nOTDPpnO8fnTk5996cnHyaublZLieiUBYVZ3YAKFRFhfCiLCuEF2VZIbwoywrhRVlWCC/KsgoW3jNRLOuEeN7sOPzIQns6WHj5KJZ1Qjxtdhx+ZKE9jfBWqhDesAjhNUMIb1iE8JohhDcsQnjNEMIbFiG8ZgjhDYsQXjOE8IZFUQRvWsPwtFNpWa94wGGHN7lN2JqShfDq6LNmd3fapOuBLKTvqPgaYgreJXfTDwVe2Q5d4YNXDSlswcmqbHg33vLrn6+149NebnzPZJ7/+pEHXt7L8xPjG7XbwXer94S8YG2Xrs+EvEkVrf5Zs8Yj0vlZzeL7/sEntx35bKf5iU2n87MHJT7dPtUTKitEAg4pxArDq8a1rB6fPiG++dg2ckol+4tmzZrVW+fJbUUV6p7WhLi209td/7GKfGs3m+dHvCmnUV4caoyVBu9Xg3h+Qzw/56n9yXH7dzRanzbgZT719i0HX5xADmTygrUNpvwZ8iZVsPb6+7ftaLFkQ5OUw4lj+OR6KeltOqX/kMDPjkvmP+zoCZUVMu/Iq8a19kn+mwe27H2ijZxSyZY0td0ROZUVVsjwwhDXxiXxE3qSb5N78+kJ6+Q0yotDjbEy+7yHeg3jZ7VYk87zH3fn+W3N+YM7+L19RhN45QVr708Pof3QQhz7Js+vXDtxGM+vacknP8Tzfafze+P52e15/mDcITlUVshEeJW4JB4Gv8/z89vIKaXwpsRv8aSywgoZXhjiWimQb/9Jvm25Ky25ebqcRnlxqDFWHrzp8x96PY0/PL5xwvT0t+Mfe+yxJ9LTxj72+BMUXnnB2or+HMNNqmDtVz4if1+TgNh9J+1K9ptN4X1JWnrXdjlUVshEeJW4JB5e/JznV7WRU0rgTWszg/eksqJrCB1eGCLZoUspvPyjSePf5OU0yotDjbHS4D3yStuN0sdvu9K+u2/1tMHScXgTP+fx7fxECq+8gP32hbhJFaw9ZpyEwoqJw3l+3UMQ3nY8vy8uTQ6VFYoSeIdO5PmFbeSUktSN7SYxK6eywgovvE8q8I5988n1nj0uLw41xkqDd/Hjh9LS0vh32x/a99DSzfG/pr36Ev9Bj/TU1sP5tLg0eYGZ8CYl7NjbZu7P92xK6z0Swlv/+7RXX/CEygpJAYcWYnjgXfrgtv3PtZFTKtlJ8TulInIqK6xIwbv6wZbpnjRaDd5R9STdze/p2Ch+1BH+Pw816bqb3/n0/c/NeeSn9E4t5QVmwstPeSB+xBF+ZrP4PvuUPTCYn92lfZP2v3lCZYVIwCGFGDK8g0mq0sff2/zjRDmlkv3SnS1atFgsp7LCChe8gz3wLp9OP9KbjuU9aZQXhxpjNFykCJciEuLs/uFsLVR4K0EW2tMIbzlCeKNQCK8ZQnjDIoTXDCG8YRHCa4YQ3rAI4TVDCG9YhPCaIYQ3LEJ4zRDCGxZVEF5BEAoKBFUlLmBcsAMjX7wALAf4fl4shC3kAsMJW8grAkaxGxia5nJFuQU1RH2/T03BXQyMojxg2J3AyCkBRqF43qC5C2I+sGxw8102TYh5Rn6qgBOcYxCIEEqCwZ7W+IvK3wG+gUQowQivgPDGGLw2m83ptKlyuYFhdwHDIdqBVQa+20TYQqmmmKaFUlgMrkjTnEN00M8CNURdv04gbs0aYDEXLGeHxZyiUSB2zYpccLvc8naBEHX9bA3mJFjUhCga+X1XV4kJZttVWEF4z58/X1h4XpXNBYwcOzAKxBxgOcD3C2IRsEpygeGE5fKLgVHsBoamuTwxj31RQ9T3+9Q874ZrKMqHxZzAyC0BRqF4waC5HLEAWHa4+S6bJsR8Iz9bg2GCLwSW4POhJBjs6WB3gG8gxgm2lwIj2ARXEF7BWt2Gs9PadknCboOqmO42CNaCtx8n6XuEVxHCC9qLbniPE3a55givIoQXtBfd8O6k8NZDeBUhvKC96Ib37E0E3s4IryKEF7QX3fAKX0vs3noM4VWE8IL2ohxe4fCCpVk42qAK4QXtRTu8Al5hQ3gRXo8QXu/VIbxMCK+A8CK8On6fmggvMBBeYCC8wEB4BYRXrzmE1zsQhBfhVYTwCgivLIQX4UV4mRBe70AQXoRXEcIrILyyEF6EtxLg3T1Q+rNvSO85pQivRwiv9+qiE97sfgNEsTiRd7z3X4TXI4TXe3VRCa/zjRQJ3tT3RHHvG5JZlp+fTx4ADPMDmDb49J6ZD2AWGz+AqXk80sQHMANM8PlQEiyqaQzzA5jFxg9gBpngAOCdu+aEBG/SXFHM6CeZWQkJCTP9HahNlq38ImbLLX+W+i2FKkcO+dMPvFumuim8n0vw9pVsW0pKytGCgoKSkgJVjjJgFDqBUSIWAasUfC8QbbAFWMwFyxXbgWF3wxY0xcRi+pkrx23k1wnErVmDppgLGEUOYNhEo0CKRJgZZyEwylgL+XKIRT5+TeZMTbCopjHIHaATSMUSDDMDmyuUE5xXPrxTuid275iYmzpRFP8Y41koYJ8X+7yC2QkuH15J5Mhb3DPDPWUlwusRwuu9uiiGV9w7bOBsHCpThPB6ry5K4fWVgPAivILZCUZ4BYQX4QWNI7yqEF4B4ZWF8AoIL8ILhPCqQniBgfACA+EVEF695ozh3T7wX59kIbwIrwXh3UjfsofwIrwWhLczfcHpToQXGAgvaC+a4W1G4V2O8AID4QXtRTO8L1F4DyG8wEB4QXvRDG/a7RK772OfF+G1ILzC6YXTUnGoDOG1JLxefp+aCC8wEF5gILzAQHgFhFevOWN493Vt/W+EF+G1IrzrL5JO2FogvAivBeG9nQ6VJSO8wIhpeJ1Op8vlVFXmdkILfHeJpcDSFBM1LWiKwRZKYTGXCFuAzZXKKypSQ2T+yym8H5QGGIgLFtNsV6l2u4wD0WyXphizPM9s2w388hoCS3Cg2xVkgsGeDnIHlBdI2BJcXEF4BQsdeRtQeFfhkRcYMX3kFSwE77eE3UbY50V4LQivsOGR+GHZCC/Ca0V4vfw+NRFeYCC8wEB4gYHwCgivXnPG8J5d9eUBhBfhtSK8f90vnbDNRHgRXgvCO4gOlaUjvMBAeEF70QxvcwrvDwgvMBBe0F40w9uewrsV4QUGwgvai2Z4VxF2Hz9nMXjPzXr2mVnZionwqooleIW1nVu/ddJqJ2zvkH+5txQT4VUVU/B6+X1qRiW8NxB4r1NMhFcVwgubiUJ4M2lHnTvtsRFeVTEIb8bhDPlb9po12dEO75abCbv3KR6EV1XswfuBxML/0W/ra3PcZZthM9EH7/X0uFvzW8WD8KqKOXjXUBpWk691yberYTNRB28r1mngWikehFdVzMH7JoVhjPTtJOPiGKgadfBeLsPLZXo8CK+qmIN3ImXhfelbdnXyrXomqBp18NaV2b1WGehFeFUFAa/7uz6JkwqsPOv7/jH9F+6hMPxOzCbkWxPYTNTBO0KGt5/iQXhVBQHvgb6CbfICC8/6vo1g0OM26c+tp4h9rNlFFyWchc1EHbzbqpEfh1tfVUbKEF7wPQh4Tx0QXYsXqbO+O3bt2nUqLy+vuDhPlaMMGAVOYBSLBcAqBd/zxBJg2AthMdhCkQ0YNjdsATZXKLIWcjxkePwvcIpm6Qfi1qyhCBhOzRrswCgRjQIpEDWZgZtf5mCfcoiFRv6HabQfAo/dMMFFkUmwqKYxyB2gE0jFEpxv0JwnwZ5Zpv32eX/pPLjEwrO+t1DhHWtGQL4qd9b3hjTaHpUUjlUVwKzvki7M+lSd9d2VkZGRn5OTU1SUo8ruAkauAxiFYh6wnOB7jlgMDFs+MEphCwWwWIkbtgCbKxAL6OcFOWjF31OF94scgRY5nwODz3GXAKO4ABiOUmDk2WAxMdcgkDyxEFh2WMxlZ59yiPnAf5aujvqFnDY02s9gM2XAyIXxRijBoprGAHdAvlhg4IlQgj172g+8KZtE8dgA0bqzvu+rJYHQsSYZ9N/yMHf9O391v/qyGlyNF9Sq5vd5p9XiaiTuf4a7ZvCJgXW5tr9cIkXb0CjBE67nWqQqFvZ5/cCbOrS4bNE0C8/63pUOjdFjGR0/TfD0IZSqpsO7qQYJiF4Rfoj8aX6sd6u3jRI8i5S45aTHRHj9DZUt6NNnSp6FZ32/mtPqYvnzdqWq6fD2VaOrSf8eEowT/CwtsdJjIrxV+SLFVZy+blWqmg5vL+9/rT8F4wQ/RUv86DER3qoM7/Nqt4H0frl7ZExGKFVNh3c9DYjejdOU/iGF9BKcNvOzgx+REnHHBeHvz6fvRHirNrxZD3LcpZ+TI9rFKfEcN/xIW8Jy9WfUqqbDK4y7mKv+PLmEXTv5RY57hF4J1EnwasLtInLx+CVB2BXHkUf6Ed6qDK8gZB4QFtBj23zhb3JpLeO08L9sUNV8eAVhX/YZGuJTQqZ8LqaTYPqjcQUtt4/9onCnEd6qDa+kkXRPv6ZbMyrgFYTfaIg3KoV9E5wFeuxfC+xKxmaEt8rD+zHd0x/r1owSeE/QEB9SCuskOE7puHOpwqP08y+Et8rDe5y8YrrB733varn4zLv33X5Vzas/UKu6Ux6/s8vuP164s9WPZt6YM5zAuOyjB5uMOPHh1TXjkn0TPIP+fLDehbCCfPbDPm/Vh3d/PWlP17uX7O/n5R/eWaqTmA3IfWfcOhPhPTf/pUEpk0kUD9BBs3RQU07wij69li0nzvhM4RMGMcJb5eH9UO0t1pQ/1Vt631Cdfcy+JbKJGsso4AEJ7kid6wV2pfAgwlvl4R3D+ShOcfZXF3YwG976aiw9gQckuDV1fifPcrQV4Y16eHesPEINmtt9K/b7NucH3i2rjiapTNwsf5I7c5LfXys1By5wTTUb3n+RKOrQWIYdJ8uOTJuTKWROeG31pEWs0Nss0NO96X9gFsIb5fBmdZD200fEILkdrPykBgTvycek3u6im6RKN30tHdeeTr2b7v3bsgSB3AXTdAS9K4abQm54eeGs2fAeaSZ1v39iT2Be/JUg/Psijqs1g10gvPIwKXTsOmrUWiIVqvEB9nmjHd5JdHftFmhu6ew+XJJ3c4bwvqoeV8edWLdHEM5u+nXPrGTB81Qm1R3/k6hY94dg/mNA57ZuyPhYjqq2kE2m7+SqyfYDpJCnh34p+VP/DMIb5fB2oHtrrkBzy2B807s5Q3gfUhFtoQ3kUdVzmeIxG14i5cmlYz9xULWJs5VmUSrCG+Xw9qX7ablAc/s+6/N5N2cIb1t1Tz+vDaSz6rlW8UQDvIPlqKpnH9CQeh2Mmh2O0xDeKIc3heymxuRZWim3dMi2fpp3c4bwfk8qx5OO7UUb5bKHW98Uv0o6kSO/yTVo/7L2owdkXzTAu0Xms7nALgJfK9v0/vmVskEHg9uX3+c9Oqbd0AMIr2nwCmueva8vuUGb5PZ/BN4Gf3s3ZwhvMtnJT3/b4NIG38lFT9Ym0K4SDlB4f3qAXnCtJb9DJxrgFda3jW9weZ3npX/Xo4/VvrL3NzKv64jvV/KtxpW9sv/T6oHRJ8uF91RjqXjcYYTXNHgVSbml16C4T72bM4SXDepvB7kdT5fcL3Tn2MHrMfr5KnNGBbxEIMHNZXjbE4N1iDd5fOXBO58WH4fwKnKaOOv763RvvOs7F7jBrO/s0fe1YFLyl+iSm50M2mbOO+hnF3kNUTjru2douhkx2EWKJO/t9g2EJfjftPhAnPVdkWDikfcLuje+9mku87zm/1Hxv8JObMCBgR2MnpbvkxzAHtH03HIWdUde/oTQToaXvv5pKP2631OsvCNvkvxDFf4j76FM3R1wcmO2dyDRdeQVTIQ3m0zv0/WcV3OfXc9d/xncJMXP3yWVn6L5VSO3BVx+VMgm52q1soQC8pjbPbIvyuDdKZ2XddzcgBLYiF5lPEpuf3hfKVbuCRu5EvdEVtjhXSf9XvUHGZkh7YBPpM82Uod8JMIryze3q2es827uZ7p3fwabpPozv56106tLNr/P+CxBmCcfcd2F7/eY63FFGbzx9Ih7cumSVbO+lt9seWbp/O1qsfKHyn6e8d9zYR9tOEHvLZ6uLKcDQtx6eRR+DcLLFNCNOW/RnI0Fm+S9Op3ziSdopRZRcjO6oAcvG+eNi74X7dEJwrjHleV09iLuDaER/UxEeJkCgvddmrPxYJO8V6cDL3sDQqtohjedhnhb9MG7jgb2nLJ8gjyowW7pfBnhZSK5Oz7t9a9oL9cIXvYA2HawSd6r04H3R1rpy2iGlw3jjS4H3nNfvz7tuE8gEYU3404S2EJl+Q6ay23sNpSLtsmBZM0dNStTSJrwb3BjfazBm36rlJFuxDC8n3f5vdy9y+Emea9OB94z5DyoXmZUw3ukS90bXjtTDrxk6PfWI96BRPby8M4nuLhJYHU/3Md2wICa3OUzPQluKQX2IHm8qf5OtYUYg5c+tsWRG8HCOg/bPHkUKZrhleUXXnayNNw7EPPvbfgPp+ifagsxBi8b5yQPnYUV3tG02SGWh3cu3Y5nvQMxH17wfNW9agsxBu8IeRwmzPCynf6J5eFl44TDvAMxH955Krxd1BZiDN60W6TN70iMsMKb2YwcEjIsD6/QRdqOBoe9AzEH3mGXVLtynifB5KGVWwcq59KshRiDV/jrw6EL6Quawjv3cOaMIZ9kRMtLR4SKw3tu0bAPj/oEYgq80+how3bm+Z0edLcue+P/DoEWYg1eRbEycbYQFLz6gZgCL70iyPVnHvb41tsxPs6rCOEVohtedodeD+Zhl45GIrxMCK8Q3fAOo7z+xDy/UGM1wsuE8ArRDa/wMMfVGOrxkHup78tGeJkQXiHK4RWO/nTa4/mOHnnnI7xMCK8Q7fACz1gK71CElwnhFSwE76cU3g9NhDdlQOKELCvP+u7l96mJ8AIjrPAeI6+NbZBuHrwZXTPtC9+28Kzv3n6fmggvMML79HDa0KcGHTDxft7f54jiqd7qrO9FS5Ys+b2oqMhuL1LlLANGcSkwbGIxsFzge5GoaaEEFtO04ACGww1bgM2ViKyFfDluI79OIG7NGmzAKNW04ASGXTQKpFjUtAA3v0xuQQ6x2MjP1mBqgkU1jUHuAJ1AIpPggvLhleScNs/Cs75Hn8qd9R0ViAKZ9d29bfBilzrrO5WA3QbsNghmJ7h8eN0z3sqQPqw767u336cmwguMqgXvrlFOl8tl4Vnfvf0+NRFeYFQteBd1kJRo4Vnfvf0+NRFeYFQteHUlILwIr2B2ghFeAeFFeEHjCK8qhFdAeGUhvALCi/ACIbyqEF5gILzAiA14T/sEgvBSIbxClMM77QauURLCKwvhFSwEL517ifsT4WVCeAULwduPwjsb4WVCeAWEF+E1qInwAiNUeJdTeA8ivEwIr2AheIXpN3J34QmbRwivYCV4cagM4bUwvL6BILxUCK+A8CK8QAivKoQXGAgvMBBeIQrgzc3NLS7OVWUvA0aeAxhFYj6wnOB7rqhpoQAYpbBcYQkwbG7YAixWILIWLqgh6vp1AnHbgFFSCIuVwhbswCgWjQLJF4uA5cgDhktuQQ6xwMjP1hDeBNuCSzDY0wHvgEIDj58EO/wkGGZGL8E5FYS3pKTE4ShRVeoGhs0FDIdoAxb0lIhO2IIdGGWwnB0Wc8IVaZqzi6yFfDVEXb9OIG7NGjTFymALpbCYaBSITYSZccHNd7MWimGIOn4mkxIsbxfY07p+39WFnmCbZvPLTXBg723wlYDdBuw2CGYnGOEVEF6EFzSO8KpCeAWEVxbCKyC8CC8QwqsK4QUGwgsMhFdAePWaQ3i9A0F4EV5FCK+A8MpCeBFehJcJ4fUOBOFFeBUhvALCKwvhRXgRXiaE1zsQhBfhVYTwCgivLIQX4UV4mRBe70AQXoRXEcIrILyyEF6EF+FlQni9A0F4EV5FCK9QJeBFxap+HmXkOTnkbyPXmLVGnoUfG3l+G+Iw8OQO+VNjI7yowLToMSPP4YQDRq7H/2PkefsVI8+qBKMp0LMTNmlsAK9bRKEMFd3wNv7Q8OiPQv3Y3chztCNv5Oq5zMgz/S0jT0pHu4HnfMedGhvA+3/3cA/PEUQUyiLS9HkPjrv9ovbfFRuVRaGiSl4nbHmjq3OXv3LOnFhQqKAE4c1e0K7mdQM3rHoszmVaPChUwALwtqp+07BNBNs8zrADLvJRLOuEeNrsOPzIYMenDEickKXncH/XJ3FSgZ5H0u6BBo5RHTp0mKfryRjbY1yOnuOHDkS5YAmAd+S2MvaldIfxkdfs1PqTdUK0HrwZXTPtC9/W8xzoK9gmL9Cvld1vgAFHPfIdDl3KygbsKZ33iZ7H5XA4dn0GlwB4Nxld2IAyO7X+ZJ0QrQfv73NE8VRvPc+pA6Jr8SLdSs43UgzgLexlBNgf70hHz3wDp228ZggYwMvV6fLFSaM2PTI7tf5knRCtB68k5zT933nxl86DS3Qdc9ecMID3aM8R3cfr9kLWTnznxbcyDEJYuF1jAniPf/nKnVyT0SkGFZnMTq0/WSdEC8Lr3jZ4sVFv8sKsT/UWb5nqNoL3xDcFRV++oef5oTdv/36Mfq0zo7RXgb2Gyg4lVvd/t4PZqfUn64RoPXjdM4wOhymbRPGYLqNTuid275iYq+eyS13UnK56NyT8MtXII4pL12ltgGrW8uH3cfV7Gl6NpjI7tf5knRCtB++uUU6XS/fImzq0uGzRNANcjI68G1/Lsy17T8+T05e3L31Xt5J7kNc/Auzz1ug2/2h5d+eEM03z+4SztTDAO2NQsDXSGgZXXg7RevAuIsNUibpILejTZ0qeAS5G8Lq/7NVziu6AmLh9cI+J+jcp8EO8FgB4X7z5klbjko1O9DwNhK4ld8tfEN5olP/9H1WCPVz3ia8H3VPjAb/lQ0nL7EGJT7dP5ZfV4/nPmjUekS7Bm9T01+XtKcayMwxpD6pO2suN75nMyzHM6NHl7rZb5Oj4Wc3i+/7BJ7cd+Wyn+YlNpysRToxv1G6HXKhbvScqEmJY4NWE3m42z494MxzNRoKyCElzenZ+5WtNqzXxWz6UtMyOS+Y/7MivfZJff/+2HS2WzO+zsWmSJ/uyMwxpD6rOnKf2J8ft98B78/eHh3eSo9vQJOVw4hg+uV5KeptO6T8keCJMvX3LwRcnyIXMPPJqQp/cm09PWBeOZiMAWaQE4H2tKXdVt/mn/JcPJS2zpTwfjDskwTtWOkasXDu/Y7NRvAIvc4Yh7UHVmdViTboSw4zneX5f3GEW3cRhPL+mJZ/8EM/3nc7vjfdEeHAHv7fPaHkTzIRXE/qWu9KSm6eHo9lIUBYhAXgfGv9babnlQ0nL7JekP3dtl+B95SNiz683vMkfNPv/6eNxhiHtQdU5PL5xwvR0OYYZL5MYdrDoXnuf53ffySe34fl+sym8LMK0sY89/sRoeRPMhFcTOv9o0viw9BosCq9oP07lt3woaZndjhzY0iR4x4zj+VUr5r/IdxnLL5eWTunjcYYh7UHV+W1X2nf3rZZjoEfehmksuonDeX7dQxBeFuGcx7fzE0fLm2AmvJrQpV+CJ9eHo1WLwvt9LY7Kb/lQ0jK7/vdpr75A+rxJCTv2tpkr/dol37F99R279rfp43GGIe1B1Xm3/aF9Dy2VY5D6vGkjesrR/XzPprTeIyG8LMIPeqSnth4uF0oL8t9NDjEs8GpC51c/2DIsvQaLwntL72NZRH7Lh5KW2V3aN2n/G4GXn/JA/IgjZKhswMAj/e565rPRHmcY0h5UnT0dG8WPOiLHsHBs2yZddsjR8TObxffZp8A72BPhzqfvf27OIz+xQumdWlYkxLDAqwmdT286NhyNWhXeOocCKB9KWmb3r6gzMIUhRH8KQ4Q4zhtWAXjbrgigfChpQXgR3rDKA+/WrVt/qD95g/Sx1W95s1PrT9YJEeENizzw1lDlt7zZqfUn64SI8IZFwb7uyezU+pN1QkR4wyKEt1Ilh4jwhkUIb6VKDhHhDYsQ3kqVHCLCGxYFC29ubm5RUa6qEicw8mzAKHTlA8sOvue6NC3AYg5YrqAYGMWlsAVNMVcB+6KGqO/3DaRUswZYzOYARn4JMIpcRoHkuwphC3nAcJZoQiw08lMVmprgMMIVaeGb0RXhm9FhiFZQsPAWFhbabIWqnGXAKCoFhk0sApYLfC8U7cBwFMNisIUSTTE3bAE2VyKW0M88NUSNv1j26wTidgDDDouValrQFBONAikSNZmBm1/mZJ9yiEVGfqqAE6zJHIwqlASHEa5IK1h4CwoKbLYCVY4yYBQ6gVEiFgGrFHwvEDUtwGIuWK7YDgy7G7agKSYW089cNURdv04gbs0aSmAxFzCKHMCwiUaBFImwBWchMMpYC55nrIp8/DBz5iY4jHBFWlW927B5wlQeuw2qYrrbEExuowDejzmOq7cX4VWE8AaYW/PhzaQ3KD+F8CpCeAPMrfnw7qDw3ojwKkJ4A8yt+fCepvA+ivAqQngDzK358ArvEHg3IbyKEN4AcxsF8ArLB43chaMNqhDeAHMbDfAKeIUN4fUomNwivIoQ3kgI4VWE8MIQrSCEVxHCC0O0ghBeRQgvDNEKQngVIbwwRCsI4VWE8MIQraAqDu+ZyY+3/x7hVYXwBpjbKIC3F7nC9g3CqwjhDTC35sP7N723IQHhVYTwBphb8+HdReGth/AqiiF46aTd+4b0nqO8Mj2Y3JoP79l6BN5/IryKYgdeOml3cSLveO+/nkXB5NZ8eIVlErt3nEB4FcUMvGzS7tT3RHGvMk1sMLmNAngF/usfz+Jog6qYgZdN2p00VxQz+knm+V69ei0rLS11uUpVlbmBUQoNl2jkKRXLYAuwObemBU0xwwGqI7QAABgRSURBVOZcImuhSA7byB/xQEo1KyrTFGOWUw7RYeCXV2dqgiPLW1jlB1550u6kzyV4+0p2/qRJkzbabDan06bK5QaG3QUMh2gHVhn4bhNhC6UOWEzTQiksBlekac4hshY8D20b+XUCcWvWAIu5YDk7LOYUjQKxa1bkgpvvlrcLhKjrZ2swJ8GiJkQryA+88qTdqRNF8Q9lDvlgftWiodsg4BW22Ow2sHmPi3tmuKes9CwJJrcIryKENxIqH15x77CBsy06VKb1+9REeIFR5eD1VTC5RXgVIbyREMKrCOGFIVpBCK8ihBeGaAUhvIoQXhiiFYTwKkJ4YYhWEMKrCOGFIVpBCK8ihBeGaAUhvIoQXhiiFYTwKkJ4YYhWEMKrCOGFIVpBCK8ihBeGaAVVaXhHXHFJ4+0IL8IrK5jcmg3v6+QBttqZCC8wEN4Ac2s2vNfTZ4fnI7zAQHgDzK3Z8Nah8E5EeIGB8AaYW7PhfYjCuw/hBQbCG2BuzYb36LUcV2MknrAhvLKCya3Z8ArCjx8fxqEyhNejCDzcqimGTw+bluAq9fSwrnJycoqKclTZXcDIdQCjUMwDlhN8zxGLgWHLB0YpbKGgBBglbtgCbK5ALKCfF9QQdf06gbg1aygEhqMUGPk2YBSLuQbN5YmaFmAxl519yiGSTXbk6fiptAkuA0ZlJDiMcEVaVbrbsKVvxylnsNuA3QZZweTWbHh/JoMN7RFehFdWMLk1G95OdKhsO8ILDIQ3wNyaDW8zCu9yhBcYCG+AuTUV3mN/Cy9TeNMQXmAgvAHm1kR4T7XhuCe2NZLYnYR9XoRXVjC5NRHetuSY2zbzqxk78CIFwutRMLk1D95M2mHgzmj9PjURXmAgvJrcmgdvFmX3mrNav09NhBcYCK8mtyZ2GxIJvD28/D41EV5gILya3Jrd533ey+9TE+EFBsKrya2J8FYj8Fbz8vvURHiBgfBqcmsevPvZCRuv9fvURHiBgfBqcmvikZfDI6/aAsIrK5jcmgjvUwTeZ7z8PjURXmAgvJrcmnl5+N169Sd4+31qIrzAQHg1uTX7xhxvv09NhBcYCK8mtwivIoQ3EvIDr/u7PomTCiw967vW71MT4QVG1YL3QF/BNnmBtWd91/h9aiK8wKha8J46ILoWL7L4rO8CwhuT8IriL50Hl6izvmclJCTMrKSwKiILPLTtlj+tNLV6FMv/CduFWZ+qs74Xr1ix4mBhYaHNVqjKWQaMolJg2MQiYEFPoWiHLRQDwwXLlcBiDjdsQVNMLKGfeXLQ3v5i2a8TiNsBDLummAu24ITFRKNAikRNZuDml8ktyCEWGfmpAk4wzFzYEhxJ2sIsP/CmbBLFYwNES876bvuodZtPs+nSz+vUqPOFp+yRAQ932ahWxW6DqqrVbUgdWly2aJo1Z31/m1xhG0u+raJXileyEqcbEyNVqYrwqqpa8LoX9OkzJc+Ss76fo6/mvZ4svJfCew8rsYwaA5SqCK+qqgWvroLJrXnwnmZ3lWVKX+vTb/VYiVnU6KxURXhVIbya3JrYbXiQQNqMfOtGee3GSvxGjSlKVYRXFcKrya2J8O5uwHENWd/2UgnXyzxlu0hGgzNKVYRXFcKrya2ZFylOrUg6TReyE7ZVrMTv1JihVEV4VSG8mtxGxRW2Nyivo5kxhxpdFSfCqwrh1eQ2KuD9gM2qwoyvqPGy4kR4VSG8mtxGBbz72KwqzPj7VmKsV5xRCe/qwYNWqxbCa6wqD+/JhhKut5yUrV0dGrb8Xq0ajfDO1HbLEV5jVXl4P6VH3k90a0YlvHRg+ibFRHiNVeXhHUnhfU23ZjTCK79m7bTHRniNVeXh/YKy8IVwTLazYTO68GacI6uDnko98t5B4r1dMRFeY1V5eM/GSSzELajNVWspcTvlEq56R7WqDry/teDqjjj6Ase1S1M8lQrvEgLvIsVEeI1V5eFdRI+8NcifTsJW+vm64vSF98ydpMT95M+TiqdS4aUzaXRQTITXWFUe3sc5RVcJg+jnbYrTF97NtMTF9O8pj6cy4T3LYlUuYSO8xqry8LaB8A4sF95NAF7P+FqlwpuF8AasKg/vQtht2BJMt+EpxVOp3YaO2G0IVFUeXmHIRdxFQxZKJ2wtpBO2STW56u1Vn84J2wgJnTqbu3HccyadsI3R/n8hvMaq+vAKuQLxH5XHyM4Ajw68vHz7bxFcd6XCW5P2WxQT4TVWsPDa7Xan067K5QaGwwUMp+gAVhn4bhdLYQuaYrCcExYrFWELsJhDXlGhGqKX32lQUxtIKSn2K4U3XhuIZrv8BaLJDNwut9yCHKLNyG+3n2N93iylmcpOcBjhirRi4cgbzEtHDlB02pp4eZh2y2soJh55jRWL8O66rlr1JuT5Nr0+b1/CTvK79zYeqVyhrVx4u7N+i0cIr7FiEd5aBI87iaED77kveo3YSW+ISFQ8lQovHc7rr5gIr7FiEN5ttGdA3/lvdGPOTbRIpsesTHjPXUtWfY1yCwbCa6wYhPdrdkpEDAN4z9WlJTz38phxV1mGx0Z4jRWD8LJ5rmoTw+jI+wwp8YBi5pTwy5M9x8JIdxseJet+RDERXmPFIrzvSPTWSCaGEbx/3s9xd/2mmDnL63Pc/TwzIg3vspocV3OpYiK8xopFeIVjE+ewaYkNb0bPPrj/rGqdob/kfZgRaXgTtEd9hNdYMQmvogCfpNhI4W3MDHySImqE8CoyhvdPylMrZkT6yHsdWdd15zwmwmussMObNvTpQQdYbqsMvDnPEaCWMKNSbswZ7bGSuneanqWuAeGFCje8x26TUt8gXaha8JJHibhxzIg0vNnTW7ee5ulwLwGdbQHh9VK44f2M/sJ+KFQpeDfTjarLjEp9Y05zuua/lDUgvFDhhvdNmu2hQpWCdzbdqJrMqFR4b6Zr3qasAeGFCje839FsLxCqFLzpdKNuZUalwtuerPhG5R5khFejsJ+wJUrZ7nxOqFLw5nSWNqp6CjMqFd595OVqi9U1ILxQ4R8q2zjnZzm3VQbebHIWyo1kRuW+JfL0iqWHwBoQXigc51VkDG8q7Tbcywx8xWnUCOFVZAzvbgpvc2YgvFEjf/CmDEickBXsrO8nejT91zGWWwN4zy0aM+VohXPr01wlwHue3m/wb2ao8K54ddwfkYJ369MPsieIDeHd1/SGVscNtovBe7r3/V34GIU3o2umfeHbQc76fqK2tJsvJWwawttVKhF3UG0h+uHNOdqxbsP35Cu2Crx0VHAnKBZGeFfW8NxMYQTvNnJj58XK/fI68GZeKZW45FBswvv7HFE81Vud9d2ZlpaWnZubW1ycq8peBox8Ry57J82/JKNIzAcup/KNjfgPUVsoAMVKncAoLAGGzQ2MXFisQGQtXJDjNvL71sx124BRUgiLlQIj3w6MYpF9nqTb0Q4WE4uA5YCb75JbkEMsMPKzNRTn3k4b/ynXN8Ee0ZejcN30t0sku2g0LdE22ARHlrewyn+f1zltXpCzvremGXvQTwk2EtwuyDgDUCXP+r6XbscdQdUJeNb3K2jj7/spcSUtcY+fEs+ze+GCCtBa8geve9vgxS511veAjrzsVXYv5hofedmp+3C1BYseeU/R7XgeFgvfkZe+pJdbm2t85G2kJFpnu+iRl82D1D42j7zuGW9lSB/Bzfp+so6UsMvIGZvS5+W71b1+mFRn37NX1xsndRxflEo0VN+lJHXJjjWtXv2WXYF1yXx7eJXQ59V9hm0cYeN34Aljn3dNDc/YnJLgX//B3TZXSk/SfVzjpYKwi6y9htrnLX60RrVL6tAEy33eLHL4vvhIbPZ5d41yulyuYGd9P923ea8TxFDgfYqk+XXhbDz5JFOnfjvu42OghVyhKb2FNbDcMkUDvMLqMe8fjNRow652LdhdbJ4E/4/e2bZa2EOPp5vpO9U4bplSiV5IljSZrobAu5/aG2IT3kUdJCWGPOv73zSHDeQnzlsIOuO89CUx3OGAcssUFfB6NxfRcd4vaY5eEibRzzfZPetcS6VcbRleOhpNE/wJtV+NTXh1ZZRbtvf04GWvrrtJYG8BIw9n+cBbnfP8AiO8gkGC57M+rjCBfo4U6irpZKolw9uUroYkeAq1ByG8ioxyy/ae7hU2OsLfT8i8hR0yBGHropXg6UYpt9RzeWC5ZYo9eA9SFL+U3369Rp7Nfk7qzOVnhYPzFh1rKcM7hq6GwLud2k//VJK7auZ/nm39I20G4dXJLdt7uvDuaS6dlJ9jz7dc8YcgjCVHjBNqC7nC7zdI7P4UWG6ZYg9eYZnU6X1TSs8cKVnTJPsuKY3PkhGFhCXSn7hU6QhQjeMS6Skc+2mbfyPFt/ezDOsXyDKEVy+3dO8Z3NvAH5d28jH5d2+neoBgLRC0DuxiBsIrGCf4wBma4OwD7Hcrc518HkEHhVsJ/DYhTX7oWO6XZd/MQZFqCK9+bsu5MWcdTWBjufP2tNqCBS4PRwe8vjfmfK6SeTXwKDfmXKKBlwxNILwB5lYL734ZWgZxP7UFhLfC8P6kktkEeBR4r9HAS8YnEd4AcyvvncxxzR6ZIXnoKcbKf15BB8Y2Pnn5FS/Q13+VbO147y2XX/4k7QWT3H7Z5oFX/07tdO8L+6Tcrnm2ad9DMLdMsQZvZsc6tePufW6dJ8HHhj9w28XV6yz8B8llX/Jn8cJWd1/MVXtQcm5tfNl1k2ixD4infkPGbj1BOPPePx6d7nnp2rkZjzUfp7zQD+HVhbcnydxHgpA1tX2vFDot2pUDd96l9B0Oy8eFRsSQ4CWnH1xL0ltrcEJIoV2N00Ksw/uwnKTtbOE5dgsJV23D+Of77zo3r3P3H7+SSzQVjtNRs49JuSHk2zWHh91NT9wEYQD5fEdueTIxeigrQniB4YH3NM3pnfLSi6iVfYJ+XESWjPf8qpGbUyV4wax/s9h7yrnlQqzDW13OyCC2cJcnQ48r5R6Tl1STL2PQyeauol9XC/QxJi6DTVBYX65Bjx/qZHMILzA88B6iObqOLcxmGT6wU060pKGeHUEe8JbgvU+F9z2hA/2cK8Q4vKc9GenKFq7z2Pco5Rp7FskJpQlnVy5my1c0DrMBH07uN7BrdH96GkB4gaF0G+i9qZ5Z8WgaaxWyCZuuJUu+kZNOX4sgwUt/2li2N8hHkT1CjMMrXCEn6VO28ISH1HeUcv3lJbWE9fTz6cyNqdmU6BrH2fuGpR+/JuSztVzjeeUATYXwAkOBd32c1G313ImzUqL2om8LhVlS/+GSNbSFa1nW6fiDBO/BK6V8jyX7YmyRkEXmg5wOc8sUa/Aup//sXGfP8MBX9TiZR4+ymrEfs7WC0EP6vCFZOmbcm0ROjhNzhX0SxXHJgvCrdO7WaLdcY7+Ectw6pQGEFxjqUNmpNRuylJ18cub0v8hIztFps1h3a7R8yLiEGBK89CSj/ql9Px6gIzk7ktI1uWWKNXiFE599vDtpp5rgY//dvGDgShjIuV9X/dRuIH0p386PfhDuIWlsQP7cLC3L2rCGXr/I2LxVnUUxa1PKKbUBhBcYgT493NTzE0jOpCV4mb1ewHFeqgo+Pfw/mkV2u95G4MFx3gBzGxi8rTzwymPobBRop1FufZtDeL0DkeBl76hmV9j2AQ/CG2BuA4PXc5XoNjm39PLxw/yYbuNOe3J76r1uI/9GeLUJThvT8/2TqunY3L97nxf6p7LVFAq9aI+B/GkjMb6mb+IS4Y/h3SYXIrwB5Dbwl47MvrZmrUtqtaSvcpDg/ZQkvCF5R1dj+WHzMw+S7lsmqIPwCmnkyYr71aSkyMeAtXQ1hULGmHsuJcfeOwacyRUWEM9g8udJuCkIr35uK/7GnBs4RfPZQjaYNgEUQ3iFt2hSlij203LOnqKrIQleSO13SYIbqzn9FTQXa/DaIz7rey010e+zhex5lpdgCxGb9R0EAlqoxFnf7V6TsRsluC9NyjTFvkvOWWO6GtICe5KiP1mRmlLuK6MV4azvwKjokfcWNdE/sIWrqfEpKIZHXvkhn/8qdjc5Z3TKbZrgH6j9EUlwC/KtDrX3Csp71mPuyBtobisObzK5/aE9GXPo7ClGbu1pAQFCeIVMAuSLqiudPl3MNaBDCyzB5G6e2zNJgjfWl75+ToZ+Ryc15K6fKtdBePVzG8JbIo/07/yVcG7Z5CQ1t2smf1OAow3aBGd/P2MtDOT459O+nTqPPV5FE8zu3llJE8zP+nifcGbxlA08/ElDeA1yW5VecRqV8Jb7itOplNMh2gTPZR1hZiC8xrlFeBWZAe90yulwbYLn0YXynZUIr3FuEV5FZsC7j3K6TptgdlfkamYgvMa5RXgVmfJm9B8bcw2/8E7whiZc3FzZQHiNc4vwKjLptf70GXnvBKsvfEF4jXOL8CrCOSkiIYRXEcILQ7SCogLeYw2qcddY7v28Ps2ZDe+WW2pc0pmtBuHVUzC5DRhecv2HuzSw3Po2h/CyQLLoW07pG8kQXl0Fk9uA4WVX5fcHlFvf5hBeFshymsU6dDUIr56CyW2Q8G4IKLe+zSG8LBB28Yz+gCG8ugomtwHDS+6a5qoHllvf5hBeFshx+kKXB+lqEF49BZPbgOFdXYPjqk0LLLe+zSG8ciDTJXpvpA+kILy6Cia3QQyVLZ6TGWBufZtDeD2BnP5ui7wahFdPweQWx3kV4ThvJITwKkJ4YYhWEMKrCOGFIVpBwcLrrS1fG3n+nllg4HHNPGRUacU6I8/uL4w8Z2eeNXJRZRv7v9ht5Fn/o5Hn8EyXgadg5t9Glb7ebORh+sbQv+UrI8/xmfkGnrKKJHjPPCNP1CpUeKf908izJeGMgceRkGRUacBYI8+CNkaeQwmGu4rqcMJBI9fj8408b/c38qxMcBh4shK2GFXqOtXIw9TN0P9RFyNPakKmgceZsMKo0sA3jTwLWxl5olYIr74QXgsI4dUXwmsBhQpvrmF/0pZh1Dd0ZxQbVTp3wchTYLSnREeGEU3l+jONeo3ihXNGnuIMt4HHlWEzqnQ218hTnj+vQgkuMqpUkQRHrUKFF4UyTQgvyrJCeFGWVYjwpgxInJCl53B/1ydxktFA7+6B+stHdejQwWC0MWNsj3E5eo4fOhD56VJWLMQKxBiBEMOdRsMQy48xGhUavBldM+0L39bzHOgr2CYv0K+V3W+AvqNHvsOhfxJSNmBP6bxP9Dwuh8Ox67Nwh1iBGCMRYpjTaBxiuTFGpUKD9/c5oniqt57n1AHRtXiRbiXnGyn6WS/sZbiiP94RxVKjoQHbeMOz/AqGWJEYIxFimNPoN0T/MUalQu7zOqcZ/ND/0nlwia5j7poT+lk/2nNE9/H6P59rJ77z4lsZBiEs3B7uECsSY2RCDGsa/YZYbozRpxDhdW8bvNhotPHCrE/1Fm+Z6jbI+olvCoq+fEPX9UNv3v79GP31nBllNPBa0RArFGOEQgxnGv2FWF6M0ajQ4HXPMPpHTtkkisd0kzule2L3jol6pwZ2hyjmdNVN4S9TDV3iUsN7TSoaYoVijESIYU6jvxDLiTEqFRq8u0Y5XS7dY0bq0OKyRdMMqhkcMja+lmdb9p6uK6cvb1/6rq7LPcjvOXIFQww+xkiEGOY0+gmxvBijUqHBu4iMryTqedwL+vSZkmdQzSDr7i979ZyiP5Ijbh/cY6L+rab8kEiEWIEYIxBiuNNoHGJ5MUal8CIFyrJCeFGWFcKLsqwQXpRlhfCiLCuEF2VZIbwoywrhRVlWCG9lqXaK77JSbk/lB1J1hPBWlmqnHOc+91qG8IYkhLeyVDslZ+wOr2UIb0hCeCtB6U9d0XSV1G2osVX86f5aDT8V91yztUXdNocR3tCE8EZehTc8tXlFw2oE3pMXv7FrCrd9T81/HC8ee00+whuSEN7Ia95V+aK4jiPwbuCOi+4f/trDrRdF162zEN6QhPBGXq89I/2xUXgLmtfuuaRY3MOdlxZ1G4LwhiSEN/J6ncBrp90G0Z06+LZr1u7hyNukOg1CeEMSwht5za9bIIq/0CPvpmmiWNa+8x7uR1Esvu4zhDckIbyRV9GNz/225s7LCLw/V5uxf+Wt7+3h4v67vX3dPIQ3JCG8lSD+qSvik3rskuB1T72l5s2jHXu4Nfde3voQDpWFJoTXDO3hSs0OoSoI4TVDCG9YhPCaIYQ3LEJ4UZYVwouyrBBelGWF8KIsK4QXZVkhvCjLCuFFWVYIL8qy+n9CsAHe79NKIgAAAABJRU5ErkJggg==)
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