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Minor updates.
Brian E. Granger -
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1 1 {
2 2 "metadata": {
3 "name": ""
3 "name": "",
4 "signature": "sha256:441fa273fba6403e4fa6ef51f4397b1a0ca9ddec43fe8fba217b854e2c7b0377"
4 5 },
5 6 "nbformat": 3,
6 7 "nbformat_minor": 0,
7 8 "worksheets": [
8 9 {
9 10 "cells": [
10 11 {
11 12 "cell_type": "heading",
12 13 "level": 1,
13 14 "metadata": {},
14 15 "source": [
15 16 "Basic Output"
16 17 ]
17 18 },
18 19 {
19 20 "cell_type": "markdown",
20 21 "metadata": {},
21 22 "source": [
22 23 "When a cell is run, it can generate *output*. In IPython, the definition of output is quite general; it can be text, images, LaTeX, HTML or JSON. All output is displayed below the code that generated it, in the *output area*.\n",
23 24 "\n",
24 25 "This Notebook describes the basics of output and shows how the `stdout/stderr` streams are handled."
25 26 ]
26 27 },
27 28 {
28 29 "cell_type": "heading",
29 30 "level": 2,
30 31 "metadata": {},
31 32 "source": [
32 33 "Displayhook"
33 34 ]
34 35 },
35 36 {
36 37 "cell_type": "markdown",
37 38 "metadata": {},
38 39 "source": [
39 40 "When a Python object is returned by an expression, Python's `displayhook` mechanism is triggered. In IPython, this results in an output prompt, such as `Out[2]`. These objects are then available under the variables:\n",
40 41 "\n",
41 42 "* `_` (last output)\n",
42 43 "* `__` (second to last output)\n",
43 44 "* `_N` (`Out[N]`)"
44 45 ]
45 46 },
46 47 {
47 48 "cell_type": "code",
48 49 "collapsed": false,
49 50 "input": [
50 51 "import numpy as np\n",
51 52 "import sys"
52 53 ],
53 54 "language": "python",
54 55 "metadata": {},
55 56 "outputs": [],
56 57 "prompt_number": 1
57 58 },
58 59 {
59 60 "cell_type": "code",
60 61 "collapsed": false,
61 62 "input": [
62 63 "np.random.rand(10)"
63 64 ],
64 65 "language": "python",
65 66 "metadata": {},
66 67 "outputs": [
67 68 {
68 69 "metadata": {},
69 70 "output_type": "pyout",
70 71 "prompt_number": 2,
71 72 "text": [
72 "array([ 0.75222263, 0.72102181, 0.15122973, 0.00386071, 0.21584229,\n",
73 " 0.72508214, 0.16864276, 0.96639874, 0.92500381, 0.30806583])"
73 "array([ 0.95903549, 0.20840774, 0.89732074, 0.72494962, 0.30424358,\n",
74 " 0.03881097, 0.72698477, 0.92148251, 0.96582423, 0.95202918])"
74 75 ]
75 76 }
76 77 ],
77 78 "prompt_number": 2
78 79 },
79 80 {
80 81 "cell_type": "code",
81 82 "collapsed": false,
82 83 "input": [
83 84 "np.sin(_)"
84 85 ],
85 86 "language": "python",
86 87 "metadata": {},
87 88 "outputs": [
88 89 {
89 90 "metadata": {},
90 91 "output_type": "pyout",
91 92 "prompt_number": 3,
92 93 "text": [
93 "array([ 0.68326335, 0.66015253, 0.15065394, 0.0038607 , 0.21417025,\n",
94 " 0.66319692, 0.16784452, 0.82284458, 0.79862306, 0.3032161 ])"
94 "array([ 0.81863802, 0.20690236, 0.78165864, 0.66309773, 0.29957159,\n",
95 " 0.03880123, 0.66461974, 0.79649888, 0.82251797, 0.81459417])"
95 96 ]
96 97 }
97 98 ],
98 99 "prompt_number": 3
99 100 },
100 101 {
101 102 "cell_type": "heading",
102 103 "level": 2,
103 104 "metadata": {},
104 105 "source": [
105 106 "sys.stdout and sys.stderr"
106 107 ]
107 108 },
108 109 {
109 110 "cell_type": "markdown",
110 111 "metadata": {},
111 112 "source": [
112 113 "The stdout and stderr streams are displayed as text in the output area."
113 114 ]
114 115 },
115 116 {
116 117 "cell_type": "code",
117 118 "collapsed": false,
118 119 "input": [
119 120 "print(\"hi, stdout\")"
120 121 ],
121 122 "language": "python",
122 123 "metadata": {},
123 124 "outputs": [
124 125 {
125 126 "output_type": "stream",
126 127 "stream": "stdout",
127 128 "text": [
128 129 "hi, stdout\n"
129 130 ]
130 131 }
131 132 ],
132 133 "prompt_number": 4
133 134 },
134 135 {
135 136 "cell_type": "code",
136 137 "collapsed": false,
137 138 "input": [
138 139 "from __future__ import print_function\n",
139 140 "print('hi, stderr', file=sys.stderr)"
140 141 ],
141 142 "language": "python",
142 143 "metadata": {},
143 144 "outputs": [
144 145 {
145 146 "output_type": "stream",
146 147 "stream": "stderr",
147 148 "text": [
148 149 "hi, stderr\n"
149 150 ]
150 151 }
151 152 ],
152 153 "prompt_number": 5
153 154 },
154 155 {
155 156 "cell_type": "heading",
156 157 "level": 2,
157 158 "metadata": {},
158 159 "source": [
159 160 "Output is asynchronous"
160 161 ]
161 162 },
162 163 {
163 164 "cell_type": "markdown",
164 165 "metadata": {},
165 166 "source": [
166 167 "All output is displayed asynchronously as it is generated in the Kernel. If you execute the next cell, you will see the output one piece at a time, not all at the end."
167 168 ]
168 169 },
169 170 {
170 171 "cell_type": "code",
171 172 "collapsed": false,
172 173 "input": [
173 174 "import time, sys\n",
174 175 "for i in range(8):\n",
175 176 " print(i)\n",
176 177 " time.sleep(0.5)"
177 178 ],
178 179 "language": "python",
179 180 "metadata": {},
180 181 "outputs": [
181 182 {
182 183 "output_type": "stream",
183 184 "stream": "stdout",
184 185 "text": [
185 186 "0\n",
186 187 "1"
187 188 ]
188 189 },
189 190 {
190 191 "output_type": "stream",
191 192 "stream": "stdout",
192 193 "text": [
193 194 "\n",
194 195 "2"
195 196 ]
196 197 },
197 198 {
198 199 "output_type": "stream",
199 200 "stream": "stdout",
200 201 "text": [
201 202 "\n",
202 203 "3"
203 204 ]
204 205 },
205 206 {
206 207 "output_type": "stream",
207 208 "stream": "stdout",
208 209 "text": [
209 210 "\n",
210 211 "4"
211 212 ]
212 213 },
213 214 {
214 215 "output_type": "stream",
215 216 "stream": "stdout",
216 217 "text": [
217 218 "\n",
218 219 "5"
219 220 ]
220 221 },
221 222 {
222 223 "output_type": "stream",
223 224 "stream": "stdout",
224 225 "text": [
225 226 "\n",
226 227 "6"
227 228 ]
228 229 },
229 230 {
230 231 "output_type": "stream",
231 232 "stream": "stdout",
232 233 "text": [
233 234 "\n",
234 235 "7"
235 236 ]
236 237 },
237 238 {
238 239 "output_type": "stream",
239 240 "stream": "stdout",
240 241 "text": [
241 242 "\n"
242 243 ]
243 244 }
244 245 ],
245 246 "prompt_number": 6
246 247 },
247 248 {
248 249 "cell_type": "heading",
249 250 "level": 2,
250 251 "metadata": {},
251 252 "source": [
252 253 "Large outputs"
253 254 ]
254 255 },
255 256 {
256 257 "cell_type": "markdown",
257 258 "metadata": {},
258 259 "source": [
259 260 "To better handle large outputs, the output area can be collapsed. Run the following cell and then single- or double- click on the active area to the left of the output:"
260 261 ]
261 262 },
262 263 {
263 264 "cell_type": "code",
264 265 "collapsed": false,
265 266 "input": [
266 267 "for i in range(50):\n",
267 268 " print(i)"
268 269 ],
269 270 "language": "python",
270 271 "metadata": {},
271 272 "outputs": [
272 273 {
273 274 "output_type": "stream",
274 275 "stream": "stdout",
275 276 "text": [
276 277 "0\n",
277 278 "1\n",
278 279 "2\n",
279 280 "3\n",
280 281 "4\n",
281 282 "5\n",
282 283 "6\n",
283 284 "7\n",
284 285 "8\n",
285 286 "9\n",
286 287 "10\n",
287 288 "11\n",
288 289 "12\n",
289 290 "13\n",
290 291 "14\n",
291 292 "15\n",
292 293 "16\n",
293 294 "17\n",
294 295 "18\n",
295 296 "19\n",
296 297 "20\n",
297 298 "21\n",
298 299 "22\n",
299 300 "23\n",
300 301 "24\n",
301 302 "25\n",
302 303 "26\n",
303 304 "27\n",
304 305 "28\n",
305 306 "29\n",
306 307 "30\n",
307 308 "31\n",
308 309 "32\n",
309 310 "33\n",
310 311 "34\n",
311 312 "35\n",
312 313 "36\n",
313 314 "37\n",
314 315 "38\n",
315 316 "39\n",
316 317 "40\n",
317 318 "41\n",
318 319 "42\n",
319 320 "43\n",
320 321 "44\n",
321 322 "45\n",
322 323 "46\n",
323 324 "47\n",
324 325 "48\n",
325 326 "49\n"
326 327 ]
327 328 }
328 329 ],
329 330 "prompt_number": 7
330 331 },
331 332 {
332 333 "cell_type": "markdown",
333 334 "metadata": {},
334 335 "source": [
335 336 "Beyond a certain point, output will scroll automatically:"
336 337 ]
337 338 },
338 339 {
339 340 "cell_type": "code",
340 341 "collapsed": false,
341 342 "input": [
342 343 "for i in range(500):\n",
343 344 " print(2**i - 1)"
344 345 ],
345 346 "language": "python",
346 347 "metadata": {},
347 348 "outputs": [
348 349 {
349 350 "output_type": "stream",
350 351 "stream": "stdout",
351 352 "text": [
352 353 "0\n",
353 354 "1\n",
354 355 "3\n",
355 356 "7\n",
356 357 "15\n",
357 358 "31\n",
358 359 "63\n",
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360 361 "255\n",
361 362 "511\n",
362 363 "1023\n",
363 364 "2047\n",
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852 853 ]
853 854 }
854 855 ],
855 856 "prompt_number": 8
856 857 },
857 858 {
858 859 "cell_type": "heading",
859 860 "level": 2,
860 861 "metadata": {},
861 862 "source": [
862 863 "Capturing output with <tt>%%capture</tt>"
863 864 ]
864 865 },
865 866 {
866 867 "cell_type": "markdown",
867 868 "metadata": {},
868 869 "source": [
869 870 "IPython has a [cell magic](Cell%20Magics.ipynb), `%%capture`, which captures the stdout/stderr of a cell. With this magic you can discard these streams or store them in a variable."
870 871 ]
871 872 },
872 873 {
873 874 "cell_type": "code",
874 875 "collapsed": false,
875 876 "input": [
876 877 "from __future__ import print_function\n",
877 878 "import sys"
878 879 ],
879 880 "language": "python",
880 881 "metadata": {},
881 882 "outputs": [],
882 883 "prompt_number": 9
883 884 },
884 885 {
885 886 "cell_type": "markdown",
886 887 "metadata": {},
887 888 "source": [
888 889 "By default, `%%capture` discards these streams. This is a simple way to suppress unwanted output."
889 890 ]
890 891 },
891 892 {
892 893 "cell_type": "code",
893 894 "collapsed": false,
894 895 "input": [
895 896 "%%capture\n",
896 897 "print('hi, stdout')\n",
897 898 "print('hi, stderr', file=sys.stderr)"
898 899 ],
899 900 "language": "python",
900 901 "metadata": {},
901 902 "outputs": [],
902 903 "prompt_number": 10
903 904 },
904 905 {
905 906 "cell_type": "markdown",
906 907 "metadata": {},
907 908 "source": [
908 909 "If you specify a name, then stdout/stderr will be stored in an object in your namespace."
909 910 ]
910 911 },
911 912 {
912 913 "cell_type": "code",
913 914 "collapsed": false,
914 915 "input": [
915 916 "%%capture captured\n",
916 917 "print('hi, stdout')\n",
917 918 "print('hi, stderr', file=sys.stderr)"
918 919 ],
919 920 "language": "python",
920 921 "metadata": {},
921 922 "outputs": [],
922 923 "prompt_number": 11
923 924 },
924 925 {
925 926 "cell_type": "code",
926 927 "collapsed": false,
927 928 "input": [
928 929 "captured"
929 930 ],
930 931 "language": "python",
931 932 "metadata": {},
932 933 "outputs": [
933 934 {
934 935 "metadata": {},
935 936 "output_type": "pyout",
936 937 "prompt_number": 12,
937 938 "text": [
938 "<IPython.utils.capture.CapturedIO at 0x2b9f710>"
939 "<IPython.utils.capture.CapturedIO at 0x1076c9310>"
939 940 ]
940 941 }
941 942 ],
942 943 "prompt_number": 12
943 944 },
944 945 {
945 946 "cell_type": "markdown",
946 947 "metadata": {},
947 948 "source": [
948 949 "Calling the object writes the output to stdout/stderr as appropriate."
949 950 ]
950 951 },
951 952 {
952 953 "cell_type": "code",
953 954 "collapsed": false,
954 955 "input": [
955 956 "captured()"
956 957 ],
957 958 "language": "python",
958 959 "metadata": {},
959 960 "outputs": [
960 961 {
961 962 "output_type": "stream",
962 963 "stream": "stdout",
963 964 "text": [
964 965 "hi, stdout\n"
965 966 ]
966 967 },
967 968 {
968 969 "output_type": "stream",
969 970 "stream": "stderr",
970 971 "text": [
971 972 "hi, stderr\n"
972 973 ]
973 974 }
974 975 ],
975 976 "prompt_number": 13
976 977 },
977 978 {
978 979 "cell_type": "code",
979 980 "collapsed": false,
980 981 "input": [
981 982 "captured.stdout"
982 983 ],
983 984 "language": "python",
984 985 "metadata": {},
985 986 "outputs": [
986 987 {
987 988 "metadata": {},
988 989 "output_type": "pyout",
989 990 "prompt_number": 14,
990 991 "text": [
991 992 "'hi, stdout\\n'"
992 993 ]
993 994 }
994 995 ],
995 996 "prompt_number": 14
996 997 },
997 998 {
998 999 "cell_type": "code",
999 1000 "collapsed": false,
1000 1001 "input": [
1001 1002 "captured.stderr"
1002 1003 ],
1003 1004 "language": "python",
1004 1005 "metadata": {},
1005 1006 "outputs": [
1006 1007 {
1007 1008 "metadata": {},
1008 1009 "output_type": "pyout",
1009 1010 "prompt_number": 15,
1010 1011 "text": [
1011 1012 "'hi, stderr\\n'"
1012 1013 ]
1013 1014 }
1014 1015 ],
1015 1016 "prompt_number": 15
1016 1017 },
1017 1018 {
1018 1019 "cell_type": "markdown",
1019 1020 "metadata": {},
1020 1021 "source": [
1021 1022 "`%%capture` grabs all output types, not just stdout/stderr, so you can do plots and use IPython's display system inside `%%capture`"
1022 1023 ]
1023 1024 },
1024 1025 {
1025 1026 "cell_type": "code",
1026 1027 "collapsed": false,
1027 1028 "input": [
1028 1029 "%matplotlib inline\n",
1029 1030 "import matplotlib.pyplot as plt\n",
1030 1031 "import numpy as np"
1031 1032 ],
1032 1033 "language": "python",
1033 1034 "metadata": {},
1034 1035 "outputs": [],
1035 1036 "prompt_number": 16
1036 1037 },
1037 1038 {
1038 1039 "cell_type": "code",
1039 1040 "collapsed": false,
1040 1041 "input": [
1041 1042 "%%capture wontshutup\n",
1042 1043 "\n",
1043 1044 "print(\"setting up X\")\n",
1044 1045 "x = np.linspace(0,5,1000)\n",
1045 1046 "print(\"step 2: constructing y-data\")\n",
1046 1047 "y = np.sin(x)\n",
1047 1048 "print(\"step 3: display info about y\")\n",
1048 1049 "plt.plot(x,y)\n",
1049 1050 "print(\"okay, I'm done now\")"
1050 1051 ],
1051 1052 "language": "python",
1052 1053 "metadata": {},
1053 1054 "outputs": [],
1054 1055 "prompt_number": 17
1055 1056 },
1056 1057 {
1057 1058 "cell_type": "code",
1058 1059 "collapsed": false,
1059 1060 "input": [
1060 1061 "wontshutup()"
1061 1062 ],
1062 1063 "language": "python",
1063 1064 "metadata": {},
1064 1065 "outputs": [
1065 1066 {
1066 1067 "output_type": "stream",
1067 1068 "stream": "stdout",
1068 1069 "text": [
1069 1070 "setting up X\n",
1070 1071 "step 2: constructing y-data\n",
1071 1072 "step 3: display info about y\n",
1072 1073 "okay, I'm done now\n"
1073 1074 ]
1074 1075 },
1075 1076 {
1076 1077 "metadata": {},
1077 1078 "output_type": "display_data",
1078 "png": 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1079 "png": 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1079 1080 "text": [
1080 "<matplotlib.figure.Figure at 0x3817cd0>"
1081 "<matplotlib.figure.Figure at 0x10866ae90>"
1081 1082 ]
1082 1083 }
1083 1084 ],
1084 1085 "prompt_number": 18
1085 1086 },
1086 1087 {
1087 1088 "cell_type": "markdown",
1088 1089 "metadata": {},
1089 1090 "source": [
1090 1091 "And you can selectively disable capturing stdout, stderr or rich display, by passing `--no-stdout`, `--no-stderr` and `--no-display`"
1091 1092 ]
1092 1093 },
1093 1094 {
1094 1095 "cell_type": "code",
1095 1096 "collapsed": false,
1096 1097 "input": [
1097 1098 "%%capture cap --no-stderr\n",
1098 1099 "print('hi, stdout')\n",
1099 1100 "print(\"hello, stderr\", file=sys.stderr)"
1100 1101 ],
1101 1102 "language": "python",
1102 1103 "metadata": {},
1103 1104 "outputs": [
1104 1105 {
1105 1106 "output_type": "stream",
1106 1107 "stream": "stderr",
1107 1108 "text": [
1108 1109 "hello, stderr\n"
1109 1110 ]
1110 1111 }
1111 1112 ],
1112 1113 "prompt_number": 19
1113 1114 },
1114 1115 {
1115 1116 "cell_type": "code",
1116 1117 "collapsed": false,
1117 1118 "input": [
1118 1119 "cap.stdout"
1119 1120 ],
1120 1121 "language": "python",
1121 1122 "metadata": {},
1122 1123 "outputs": [
1123 1124 {
1124 1125 "metadata": {},
1125 1126 "output_type": "pyout",
1126 1127 "prompt_number": 20,
1127 1128 "text": [
1128 1129 "'hi, stdout\\n'"
1129 1130 ]
1130 1131 }
1131 1132 ],
1132 1133 "prompt_number": 20
1133 1134 },
1134 1135 {
1135 1136 "cell_type": "code",
1136 1137 "collapsed": false,
1137 1138 "input": [
1138 1139 "cap.stderr"
1139 1140 ],
1140 1141 "language": "python",
1141 1142 "metadata": {},
1142 1143 "outputs": [
1143 1144 {
1144 1145 "metadata": {},
1145 1146 "output_type": "pyout",
1146 1147 "prompt_number": 21,
1147 1148 "text": [
1148 1149 "''"
1149 1150 ]
1150 1151 }
1151 1152 ],
1152 1153 "prompt_number": 21
1153 1154 },
1154 1155 {
1155 1156 "cell_type": "code",
1156 1157 "collapsed": false,
1157 1158 "input": [
1158 1159 "cap.outputs"
1159 1160 ],
1160 1161 "language": "python",
1161 1162 "metadata": {},
1162 1163 "outputs": [
1163 1164 {
1164 1165 "metadata": {},
1165 1166 "output_type": "pyout",
1166 1167 "prompt_number": 22,
1167 1168 "text": [
1168 1169 "[]"
1169 1170 ]
1170 1171 }
1171 1172 ],
1172 1173 "prompt_number": 22
1173 1174 }
1174 1175 ],
1175 1176 "metadata": {}
1176 1177 }
1177 1178 ]
1178 1179 } No newline at end of file
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@@ -1,8652 +1,8339 b''
1 1 {
2 2 "metadata": {
3 "name": ""
3 "name": "",
4 "signature": "sha256:906200fa9b27beaf47e1e91d3dde8ecf3376ff8aa7fe5e58aff3a2104ba975fb"
4 5 },
5 6 "nbformat": 3,
6 7 "nbformat_minor": 0,
7 8 "worksheets": [
8 9 {
9 10 "cells": [
10 11 {
11 12 "cell_type": "heading",
12 13 "level": 1,
13 14 "metadata": {},
14 15 "source": [
15 16 "Defining Custom Display Logic for Your Own Objects"
16 17 ]
17 18 },
18 19 {
19 20 "cell_type": "heading",
20 21 "level": 2,
21 22 "metadata": {},
22 23 "source": [
23 24 "Overview"
24 25 ]
25 26 },
26 27 {
27 28 "cell_type": "markdown",
28 29 "metadata": {},
29 30 "source": [
30 31 "In Python, objects can declare their textual representation using the `__repr__` method. IPython expands on this idea and allows objects to declare other, richer representations including:\n",
31 32 "\n",
32 33 "* HTML\n",
33 34 "* JSON\n",
34 35 "* PNG\n",
35 36 "* JPEG\n",
36 37 "* SVG\n",
37 38 "* LaTeX\n",
38 39 "\n",
39 40 "This Notebook shows how you can add custom display logic to your own classes, so that they can be displayed using these rich representations. There are two ways of accomplishing this:\n",
40 41 "\n",
41 42 "1. Implementing special display methods such as `_repr_html_`.\n",
42 43 "2. Registering a display function for a particular type.\n",
43 44 "\n",
44 45 "In this Notebook we show how both approaches work."
45 46 ]
46 47 },
47 48 {
48 49 "cell_type": "markdown",
49 50 "metadata": {},
50 51 "source": [
51 52 "Parts of this notebook need the inline matplotlib backend:"
52 53 ]
53 54 },
54 55 {
55 56 "cell_type": "code",
56 57 "collapsed": false,
57 58 "input": [
58 59 "%matplotlib inline\n",
59 60 "import numpy as np\n",
60 61 "import matplotlib.pyplot as plt"
61 62 ],
62 63 "language": "python",
63 64 "metadata": {},
64 65 "outputs": [],
65 66 "prompt_number": 1
66 67 },
67 68 {
68 69 "cell_type": "heading",
69 70 "level": 2,
70 71 "metadata": {},
71 72 "source": [
72 73 "Implementing special display methods"
73 74 ]
74 75 },
75 76 {
76 77 "cell_type": "markdown",
77 78 "metadata": {},
78 79 "source": [
79 80 "The main idea of the first approach is that you have to implement special display methods, one for each representation you want to use. The names of the special methods are self explanatory:\n",
80 81 "\n",
81 82 "* `_repr_html_`\n",
82 83 "* `_repr_json_`\n",
83 84 "* `_repr_jpeg_`\n",
84 85 "* `_repr_png_`\n",
85 86 "* `_repr_svg_`\n",
86 87 "* `_repr_latex_`\n",
87 88 "\n",
88 89 "As an illustration, we build a class that holds data generated by sampling a Gaussian distribution with given mean and variance. Each frontend can then decide which representation it will display be default. Further, we show how to display a particular representation."
89 90 ]
90 91 },
91 92 {
92 93 "cell_type": "markdown",
93 94 "metadata": {},
94 95 "source": [
95 96 "The next cell defines the Gaussian class:"
96 97 ]
97 98 },
98 99 {
99 100 "cell_type": "code",
100 101 "collapsed": false,
101 102 "input": [
102 103 "from IPython.core.pylabtools import print_figure\n",
103 104 "from IPython.display import Image, SVG, Math\n",
104 105 "\n",
105 106 "class Gaussian(object):\n",
106 107 " \"\"\"A simple object holding data sampled from a Gaussian distribution.\n",
107 108 " \"\"\"\n",
108 109 " def __init__(self, mean=0, std=1, size=1000):\n",
109 110 " self.data = np.random.normal(mean, std, size)\n",
110 111 " self.mean = mean\n",
111 112 " self.std = std\n",
112 113 " self.size = size\n",
113 114 " # For caching plots that may be expensive to compute\n",
114 115 " self._png_data = None\n",
115 116 " self._svg_data = None\n",
116 117 " \n",
117 118 " def _figure_data(self, format):\n",
118 119 " fig, ax = plt.subplots()\n",
119 120 " ax.plot(self.data, 'o')\n",
120 121 " ax.set_title(self._repr_latex_())\n",
121 122 " data = print_figure(fig, format)\n",
122 123 " # We MUST close the figure, otherwise IPython's display machinery\n",
123 124 " # will pick it up and send it as output, resulting in a double display\n",
124 125 " plt.close(fig)\n",
125 126 " return data\n",
126 127 " \n",
127 128 " # Here we define the special repr methods that provide the IPython display protocol\n",
128 129 " # Note that for the two figures, we cache the figure data once computed.\n",
129 130 " \n",
130 131 " def _repr_png_(self):\n",
131 132 " if self._png_data is None:\n",
132 133 " self._png_data = self._figure_data('png')\n",
133 134 " return self._png_data\n",
134 135 "\n",
135 136 "\n",
136 137 " def _repr_svg_(self):\n",
137 138 " if self._svg_data is None:\n",
138 139 " self._svg_data = self._figure_data('svg').decode('utf-8')#.encode('utf-8')\n",
139 140 " return self._svg_data\n",
140 141 " \n",
141 142 " def _repr_latex_(self):\n",
142 143 " return r'$\\mathcal{N}(\\mu=%.2g, \\sigma=%.2g),\\ N=%d$' % (self.mean,\n",
143 144 " self.std, self.size)\n",
144 145 " \n",
145 146 " # We expose as properties some of the above reprs, so that the user can see them\n",
146 147 " # directly (since otherwise the client dictates which one it shows by default)\n",
147 148 " @property\n",
148 149 " def png(self):\n",
149 150 " return Image(self._repr_png_(), embed=True)\n",
150 151 " \n",
151 152 " @property\n",
152 153 " def svg(self):\n",
153 154 " return SVG(self._repr_svg_())\n",
154 155 " \n",
155 156 " @property\n",
156 157 " def latex(self):\n",
157 158 " return Math(self._repr_latex_())\n",
158 159 " \n",
159 160 " # An example of using a property to display rich information, in this case\n",
160 161 " # the histogram of the distribution. We've hardcoded the format to be png\n",
161 162 " # in this case, but in production code it would be trivial to make it an option\n",
162 163 " @property\n",
163 164 " def hist(self):\n",
164 165 " fig, ax = plt.subplots()\n",
165 166 " ax.hist(self.data, bins=100)\n",
166 167 " ax.set_title(self._repr_latex_())\n",
167 168 " data = print_figure(fig, 'png')\n",
168 169 " plt.close(fig)\n",
169 170 " return Image(data, embed=True)"
170 171 ],
171 172 "language": "python",
172 173 "metadata": {},
173 174 "outputs": [],
174 175 "prompt_number": 2
175 176 },
176 177 {
177 178 "cell_type": "markdown",
178 179 "metadata": {},
179 180 "source": [
180 181 "Now, we create an instance of the Gaussian distribution, whose default representation will be its LaTeX form:"
181 182 ]
182 183 },
183 184 {
184 185 "cell_type": "code",
185 186 "collapsed": false,
186 187 "input": [
187 188 "x = Gaussian()\n",
188 189 "x"
189 190 ],
190 191 "language": "python",
191 192 "metadata": {},
192 193 "outputs": [
193 194 {
194 195 "latex": [
195 196 "$\\mathcal{N}(\\mu=0, \\sigma=1),\\ N=1000$"
196 197 ],
197 198 "metadata": {},
198 199 "output_type": "pyout",
199 "png": 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pPfR9GVx4on+kEC1n3Qubj2IcPm8hYU7xaDoOX3aWMMJWZk64UZa8skCI7vvE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200 "png": 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MzJw5M67nDUanaH/jUomKSbRgvVT6RQcvhOVAOBUvlQ1UBS/kR384+3fu3ImdO3fGdQ8V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\nw9F05h+9ALJ3fsa+sVptjrKZwNnC9ipbMpbNwgpu2uWFE9Yp4nMMs3W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2067 " <g transform=\"translate(128.60125 16.56)scale(0.12 -0.12)\">\n",
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2227 2080 " <use transform=\"translate(763.693359375 0.125)\" xlink:href=\"#Cmr10-3d\"/>\n",
2228 2081 " <use transform=\"translate(847.751953125 0.125)\" xlink:href=\"#Cmr10-31\"/>\n",
2229 2082 " <use transform=\"translate(897.751953125 0.125)\" xlink:href=\"#Cmr10-30\"/>\n",
2230 2083 " <use transform=\"translate(947.751953125 0.125)\" xlink:href=\"#Cmr10-30\"/>\n",
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2232 2085 " </g>\n",
2233 2086 " </g>\n",
2234 2087 " </g>\n",
2235 2088 " </g>\n",
2236 2089 " <defs>\n",
2237 " <clipPath id=\"pe0f10a0f13\">\n",
2238 " <rect height=\"344.862965722\" width=\"558.0\" x=\"25.3653125\" y=\"24.17405\"/>\n",
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2239 2092 " </clipPath>\n",
2240 2093 " </defs>\n",
2241 2094 "</svg>\n"
2242 2095 ],
2243 2096 "text": [
2244 "<__main__.Gaussian at 0x111bbe5d0>"
2097 "<__main__.Gaussian at 0x1083b1b90>"
2245 2098 ]
2246 2099 }
2247 2100 ],
2248 2101 "prompt_number": 3
2249 2102 },
2250 2103 {
2251 2104 "cell_type": "markdown",
2252 2105 "metadata": {},
2253 2106 "source": [
2254 2107 "We can view the data in png or svg formats:"
2255 2108 ]
2256 2109 },
2257 2110 {
2258 2111 "cell_type": "code",
2259 2112 "collapsed": false,
2260 2113 "input": [
2261 2114 "x.png"
2262 2115 ],
2263 2116 "language": "python",
2264 2117 "metadata": {},
2265 2118 "outputs": [
2266 2119 {
2267 2120 "metadata": {},
2268 2121 "output_type": "pyout",
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pPfR9GVx4on+kEC1n3Qubj2IcPm8hYU7xaDoOX3aWMMJWZk64UZa8skCI7vvE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2122 "png": 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MzJw5M67nDUanaH/jUomKSbRgvVT6RQcvhOVAOBUvlQ1UBS/kR384+3fu3ImdO3fGdQ8V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\nw9F05h+9ALJ3fsa+sVptjrKZwNnC9ipbMpbNwgpu2uWFE9Yp4nMMs3W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2270 2123 "prompt_number": 4,
2271 2124 "text": [
2272 "<IPython.core.display.Image at 0x111be7bd0>"
2125 "<IPython.core.display.Image at 0x1083d5510>"
2273 2126 ]
2274 2127 }
2275 2128 ],
2276 2129 "prompt_number": 4
2277 2130 },
2278 2131 {
2279 2132 "cell_type": "code",
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2281 2134 "input": [
2282 2135 "x.svg"
2283 2136 ],
2284 2137 "language": "python",
2285 2138 "metadata": {},
2286 2139 "outputs": [
2287 2140 {
2288 2141 "metadata": {},
2289 2142 "output_type": "pyout",
2290 2143 "prompt_number": 5,
2291 2144 "svg": [
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3700 3514 " </g>\n",
3701 3515 " </g>\n",
3702 3516 " </g>\n",
3703 3517 " </g>\n",
3704 3518 " <defs>\n",
3705 " <clipPath id=\"pe0f10a0f13\">\n",
3706 " <rect height=\"344.862965722\" width=\"558.0\" x=\"25.3653125\" y=\"24.17405\"/>\n",
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3520 " <rect height=\"223.2\" width=\"334.8\" x=\"24.08125\" y=\"21.56\"/>\n",
3707 3521 " </clipPath>\n",
3708 3522 " </defs>\n",
3709 3523 "</svg>"
3710 3524 ],
3711 3525 "text": [
3712 "<IPython.core.display.SVG at 0x111be7b50>"
3526 "<IPython.core.display.SVG at 0x1083d5c90>"
3713 3527 ]
3714 3528 }
3715 3529 ],
3716 3530 "prompt_number": 5
3717 3531 },
3718 3532 {
3719 3533 "cell_type": "markdown",
3720 3534 "metadata": {},
3721 3535 "source": [
3722 3536 "Since IPython only displays by default as an ``Out[]`` cell the result of the last computation, we can use the\n",
3723 3537 "``display()`` function to show more than one representation in a single cell:"
3724 3538 ]
3725 3539 },
3726 3540 {
3727 3541 "cell_type": "code",
3728 3542 "collapsed": false,
3729 3543 "input": [
3730 3544 "from IPython.display import display"
3731 3545 ],
3732 3546 "language": "python",
3733 3547 "metadata": {},
3734 3548 "outputs": [],
3735 3549 "prompt_number": 6
3736 3550 },
3737 3551 {
3738 3552 "cell_type": "code",
3739 3553 "collapsed": false,
3740 3554 "input": [
3741 3555 "display(x.png)\n",
3742 3556 "display(x.svg)"
3743 3557 ],
3744 3558 "language": "python",
3745 3559 "metadata": {},
3746 3560 "outputs": [
3747 3561 {
3748 3562 "metadata": {},
3749 3563 "output_type": "display_data",
3750 "png": 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pPfR9GVx4on+kEC1n3Qubj2IcPm8hYU7xaDoOX3aWMMJWZk64UZa8skCI7vvE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3564 "png": 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MzJw5M67nDUanaH/jUomKSbRgvVT6RQcvhOVAOBUvlQ1UBS/kR384+3fu3ImdO3fGdQ8V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\nw9F05h+9ALJ3fsa+sVptjrKZwNnC9ipbMpbNwgpu2uWFE9Yp4nMMs3W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5178 4953 "text": [
5179 "<IPython.core.display.SVG at 0x111bd3310>"
4954 "<IPython.core.display.SVG at 0x108861f10>"
5180 4955 ]
5181 4956 }
5182 4957 ],
5183 4958 "prompt_number": 7
5184 4959 },
5185 4960 {
5186 4961 "cell_type": "markdown",
5187 4962 "metadata": {},
5188 4963 "source": [
5189 4964 "Now let's create a new Gaussian with different parameters"
5190 4965 ]
5191 4966 },
5192 4967 {
5193 4968 "cell_type": "code",
5194 4969 "collapsed": false,
5195 4970 "input": [
5196 4971 "x2 = Gaussian(0.5, 0.2, 2000)\n",
5197 4972 "x2"
5198 4973 ],
5199 4974 "language": "python",
5200 4975 "metadata": {},
5201 4976 "outputs": [
5202 4977 {
5203 4978 "latex": [
5204 4979 "$\\mathcal{N}(\\mu=0.5, \\sigma=0.2),\\ N=2000$"
5205 4980 ],
5206 4981 "metadata": {},
5207 4982 "output_type": "pyout",
5208 "png": 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VidGwmvTum4mUnuegfP1baK7+GbGJSTjnL7MAAK1B2lu4uggx6QO559WrTIXb\ncmFHORWN8WhUKQlVWQo2T0VKCddqx65duyy7jq2UsWiam40KvWgrjqEKoGhPrnqfnx0FYbThbTWK\nE6/vy6WY/pdJqr8lq6h5ojHmjcrEaFhNGk7UwTXE3/+aa47gzJsf0t3eNjgMbafy5EE4+3S05byd\nMLqIt0JZ0pqnIuluE4n50lbKWDTNzUaFXrT9FLrSpMoToHqe3+koCHnPCoDsWE29G0DgVmP7sQMY\nfGYOFq9ej8LVRVzF1S5W0a5IpMe8uBXdZ0jgZ1oyMZILrQ2bi3G84SQ8RW/CAQd6ZuZwv6fWXieE\ngO1UT1kJarasQuzgHEyaNiNo1ZNHJ4/Fo5PHhqVPR1vOaxGNhaqRvhVuZakrzYF6sJUyFk3HcqOK\nYLT9FLrKpKomQON8XgB+wesu3QFHbCyE9nY44k9J31MThHPfWNgtrWW8ZzVj3gI4e/RE0qg7pWNH\n35mN7I7/i1uNnrISNDXXo3XEnTje8Zma4mpEoOoV+KeDBTOSY95M1Gso1zL77gpXFyHlugcQU1aC\n49v/h/iUDEPt9U+oa4DcS1C+/i20Np4AfD4MnvSvgAoNWorRknnP2sZpPRJ0hYVquJWlrjIH6sVW\nylg0NV2jiqAdIhKjvdWoBzUBWrnyOSSWlaChdLvc+XztAmzYXIzRI0cECEJPWQmO7/wEMQ4H2q4Y\nLx03KoTsqjjwnlWj04UBo6bIjqVcOgaVaxfIos8atq0NyQmah5GtZLtPDFYQyTFvJurVDKG+OzYg\nxF26Q7JypeReIi2yWo6V4eo//p77ezbKtnVAMvZ/fwwZNz8u+46RqidWYwc5z8POFjuRcCtLSjk+\ncaw95LhZbKWMRVPTNaoIdjcTabhQE6B901JxhKNAZI15QBIorCD0dChu8a40DCiQKydGhJBy8vGU\nleD+WfOR89Z7hotWB1PqjCp9vGfFyxXlGpyH5ENfImtf5ziJze4PnucNb6LS2y69Ar8rTAxWEMkx\nbybq1Qyhvjtl9GZD6XbEJfdB3e6NyLnxQemzoq3LcGHHIksJu6i8ddoTkmWXRW/VE6uxq5yPtsVO\nrwxh3634m8Wr14e8CO6OC0BbKWNA9Kw9RhVB8fjcNxaiorYBrada4IiJxctvvafqr3M6oiZAszIz\nEBOfoKlAsILQXboD2QW3o+LTJdzz6RVC7OQjKnjZtzxhuGh1MGFgRljwnpWac3NWZgaWzHtW+nvS\ntBmo5HwpvsvPAAAgAElEQVRPOVEZaZdegc+zYLpLd6CmpU7m89MdiG9xo2LlHMQ449A/PQXTpvw5\nLPdmNurVKKFO6rzozaov3sXZf3lW9j29Cp6WwjVxbOQVI7tuhUXTYmdGtm3YXIwZ895Eo9MluaT8\nMO9Nzd9o0R0XgCEpY2vXrsX27dsBAPn5+Rg3bhz389jYWPTq1QtTp05Fz549Q7lkWDGjCHoTktEj\n/7fwlm7HgILbZZP67j37UPLjEdtth0USrZVl4eoiTQWCFYQ1LXXwlJWgueow9zp6s3yzDtGigifi\nKSuB2+3FIy++hiFBFOpgwsCMsOA9q15tbjRtXCTzGeNNQHpX8EbapVfg8yyY4nM1ouCK2HEbWZqA\nrpyKvh3HWhTlVKwkcrmNQo/KBuTRm73PPku3lVZJqFVPwoEd3UFC6R+hji8zsm3u64XwOHshm9nV\nOFr0Jua+UWjq2UbbMhgOTCtj+/fvx8GDBzFrlj+fzKuvvoo9e/Zg6NCh0neKi4vx3HPPIS4uDm+9\n9RZ+/PFH5OXlhd5qi7CqU7qLFssmdQBoyspD4Sefhb1Ir90JJkD1CBRBAFrc9ThVuh19h4815UPD\nc4hmtwCNKhHBhIEZYcF7Vo88eEfAMd4EpHeiMtIuvQKfZ8FkCWUbGbDHuIn0SjxSiodV1RXYdum1\n0qqdCwit6klXIZT5x2z/sGJ8mZFtFXUNyB7/mOxYdsHtqFg5R9c1ldjVly8UTCtj33zzDUaNGiX9\nPWrUKHz11VcyZeymm27CPffcg169emHAgAG2U8Ss6pQ8vx536Q4M4Bbp7bpmVLOoCdBgAoV9R74D\n5chhJnnRhwbHD2P+U9ODPlOeQzS7BWhUiQgmDMwKi2DPysxvWfS2S5woYls8qF45B1lZ6qWLlBZM\nHma2kUXsMG6isRKPhOIRDqUvVAWPd9+hLpytsLaqncPMua2Yf8z0DyvGlxnZFuOMM3Q8GHb15QsF\n08qYx+OBy+WS/k5OTkZDQ4P096lTp/DRRx9h7ty5SE5OxrJly/DFF1/g8ssvD63FFmFlp+T59USq\nSK8adtzq4aElUNh3FNert3Sc9aHps3eVLsHNc4hubarH4ZUvIWf8Q4be14bNxTheXY1jaxegH6Nw\ns8LArsJCT7vEiaIpKw9urxuOlP44fPQIRg07X9OHcvTIESFZRQD7bj90x5W4iNVKn1LBq6+pgsMZ\np5n/TotQFRcrgnbU2rB7zz4U7TpguG3RWnRYMb7MyLZ+6Slo5Rzvn56i+7os0dqyVs4t0ybdZNm5\nTStjLpcLbrdb+tvtdiM5OVn6+8iRIxg8eLB0bOTIkVi7dq1tlDErOyW3BlztEe5v7OpgaUfMFD3e\nsLkYT7+2QuZj9fRri9A7vvM7bG6uhi3vonrlHJw62az7/KLvUK+yEpSvfwvw1ODMzFSZM3ckhYUR\nxVurXeJ5Sr4/gB75fwhIO1K4dgEuHKqukAHmBDXb/v3f/4AMTpLTaCs9dlWuI4nRfqYMZAmW/07t\neiXfH0BfxRaXEcXFiqAdNeVp+crnkDFenoqjKSsPD895Bb/QiBqM1qLDikWFmgwB/FvUvP7x4JQ/\n4+nX5L6vjRsWYeY9fzZ7K6qLiHAZInjzKlSepxlMK2P5+flYv369tC25adMm/OY3v5E+z8rKwk8/\n/QSv14v4+Hjs3r0bAwcODL3FFqGnUwZ7qZ2dsgiV8V7UrJqDzEz/ds7VY69C0dboCG8jqy47W9DM\nFD2et1iuiAFA0qg74f7oBSQw78NTVoKGbzche9Kz0t9H18xH9thpmudnny1roUvnRLmZtTgYeSdm\nFG+1bSDxPG3HlnC3bdm0I2oYVUKV7U/sqe89WEGoSuzQi3MtC9W3O1r9DIDqc9Qri5TvIu/sgZLF\nqe1YaBHUrOJj1qdRTXmC07/KEyOIW5vq4YADOeMfx8GOYzvnLMSgxSvwILNYi5al1apFhVKGBJND\nXLlwj/WRyOE0RPD6spWYVsbOO+88/PDDD3jiCX+eqPz8fAwdOhTLly/H9ddfj+TkZNxwww2YNWsW\nYmJi0K9fP9x5552a51TTqsNB3tkDsVuROJPtlHpfqtaEe+Hm4qiEROtdddndgqZW9Lh3UiKaT3mR\nlZWFwtVFADrbe6y2AX0452pqj8HTTMmUmu9/QDazohXPf3zVHJx3bq4lDvBmMPpOrNruYM8jtLeH\ntM1uRAlVtl/vewBCW0iEqsTafexYjVY1DG9Csupz0DNeeM9yxzuzpRyERmpX8mAVH7P9Wk15QptX\nFvxTXrQYAwqmBAQEKQumR8vSGi6LvR45FA4fSKUMqD1xAjEj5HqGVdu/qgq5RYSU2uKGG27ADTfc\nIDt22223Sf//1a9+hV/96le6z1c5xHxWdSNs2FyMol0HkDTkCskR3Fd7BFPGXmV4RadFqJ3P7GSj\nd9VlV2dpEaXg6OcQMHTsVSjadQC9hk/gbjP42uSeCdKK9WSzzF+Fl1zSNTgPZ548gLfnz1ZtU7hX\ntEbfiVXKIXue5NxhqPpyNfd7Vq/cee3X8x5CVYZC7ft2HztWo9bPKmob0Hf8VNkx9jnoGS/cZ5ne\nuYui1yquBqv4mFXs1JSn264bhcVr1iLl0jEoL1oMb0MNgOAWODMWZKt2MMKhFEVj25UnA8pXvoAB\nYWqHqkJuEbZL+ioSTsEmDn4XOlfiALBn30rp/9F2JA5lstG76or2PepBKTgmTZuhOQn2T0vBoQ7B\nrZWuwqxSFe4VrdF3YpVyqDyP4GvH4Q/mybKoN25YhIkh+Hjoua5IsPaHqgyxz5mtj1rdUCGV4wrn\n71msnGjD5Xag9p7UouF4iZtFlOOF1+dZpYkNuklorsXQcwYZsuawio8j/hSOfjAXA26cLn2up19r\nKU8ffFqMesYyBuizwOlVirqCFTYS2656rGDoxdsXsaYdvL5sJbZUxsKdwVvPhBetPX0rnFb1rroi\nPYDqq6vgiItDSmqa6Yki2LubfvckzJj3JsrXv4WW40dx1m1Pyr4nPkO1SWLoxbma2+VWR4opMfpO\nrFIOJ40rkBxs3aU7cM7kmfB0BCg4YmIg+HzIiW+1XPibbX+oCwnxOSsVdkDfRBfq70WsnGjDOWmr\nvSe1KDle4mY1WcTr88m5w2T1V12D85B07Fs8eu/fZFvFZgIKRPkg9uterSd1PQM15an5lBfZ198u\ntfto0ZtwqPRPM7K1K1hhw71I1WsFS84dphnlHgq8vox8G0RThgsrMngHQ8+Ex3YuUTlE43HEZaYa\nXvnqRelEzUPvZKNn1RXJAeQpK0GDtx7ZV95uOKqKJdi7Y4MqSpp7BHzPU1aC6v0H0Co4EN/iRkzx\nIiSnpkkO2XrC1FnBbjZSTA2j/c5KH5C25pMoX/+WtNXCBigAQPumV4P6dRq1zBhpv5VRl+Jzdru9\nphy6tX6vJ5pOxIqJ1qqoQy3U3hMQPHFzMFnEk0NJx77FTVdfhj37gucgFNEbFZly3QNQJlQw84zE\n597q65TJks/jzk+ltDkiZmVrV9nBAMIXPc51nudYwVyD85B6eAsyNPqNEfnE+z5bhm7Xrl2W3B9g\nQ2Us1AzeetCjhIjXmvvGQjR6WqUErkpHTCsRO1yoZX/0EskBxHuvRiYtEb3vbvTIwJxXkqI//jFJ\neWpYtwACgJTUNCxftzEgTF0r8isck5/4u6dfnIO6tjhJmGv1Oyt8QNhJStxqYfGUlaCp0QvhSnW/\nTrMTpJ72Wx11KV7vkRdf434ebKJT+31nH3tcl4Ie6kRr5QJOT/S42nsKRYaYkUNmlVirFBv2uQtH\n5eNFXMQ4P1uoqhToOb/d070oCYcvmgjvvTmT03F45UtIy79achMQfb8fuvdvAd83Kp9e+s9rKPzk\n64AqOmyZw4cm3WjF7fnvx7IzWUC/faFn8FZDKWgK8s9RXXWJjB7przHYdsV42XExishq34w2OCRh\nbrbsj1EiNYCUPhRGJy0RI4JbqbjxalF6nL2QMsJvrWvVMZlZOflpcaKlHTm3hMfKwUPpwK/sew3b\n1krRbWrtCed2SihRl2qMHjkCQ4LURzX6e6OLyYYTgfLOU1aCij37cOu0JwxZ1kKJOgxli9MKGWL0\nHGaVKqtcM9jnrhZgMP2uSaaeSzTTvdgV5XvzlJWg1X0cif3PQd3ujTLf1qKty3AhZxeBNXaIypvQ\n3s6tj7lhczEWr/k0QOYFljm0QZ6xcLBk3rOaGbzNOqfyBE3F1mV4dPJYQ466Ip6yEjR6WmVKmh7B\nFaz9TggBwlz0bYh3V+CFR++zjY+AHtgBpJwoQrGA6hXcSsXtuELRV7ZBazLjWcPMTH5afYC9BhtN\nxhKurQn2XfEcpmOz+wct/hzO7RSzUZfBCHWrXvl7Lcdt3rsXWltlE7mnrAS132zEoD8/ZdiyFkrU\noVlFOlp5CqMdgMM+d3a8xDfXIs9ggIGScCw89GDXnJO8iiei7C4vWixTxAD1fltT7+b6eB5ZuyDA\nBaRwdRFXBvPKHFqFrZQxQH2wDL041/TKLZig0eqEvEFvpu6knpXnpHEF2DlnofR5sLI/dod9l8qJ\nwuikFcq2n/R8FYq+sg1qkxnb91hrWHLuMBz56FUMvP4e6ZgYmcW7BwCaiTPZaygVPXE1dzxMQS3K\ncad0mNZT5iicASHhOneoW/XK39c0lHO/V19TxX33cfGJSBk0TFp0NVf9jLMm8INOeG0KpkTrvZea\nejf3uJYibdSatmFzMea+XoiKugbEOOPQLz1FlgjVCGaVKqtcM5T9UZTV/fatlPkUmSGUdC+RzLsX\nCdQqnsQIPgD688Zt2FyMw0cr4GgMNAL04ySzboPDUJlDK7CdMqY2WPSs3NQ6o9aKPVgn5IazNioz\nVHWeTw29SfEGLV6hGZ2khd1C5Nl32UdwoD7hlOQwL05aSpNxU0sVnl/SHJGIMOVgU1uBam0FtbY0\nBkRmqdWrS2hvVk1IKAiQXYNVDK0IatFfTYI/SemZ/MIZEBLKuUPxhdID+3u/PAlsp8MZxx3/lSuf\nQ8ZvOxddFZ8a2/oOpkTrQZyosjmfackdo5U+Zsx7Ex5nL2R3WJZb4S9VBqj3Y7V3Z0SpCuaEbQZe\nf2xYNx9xKUm6tpfV2LC5WNVHrL6mSjWAJtp598KFWsWTmpXPAdC/O1G4uggpl47B8e0fc7+vHF9O\nCJIMTsm9RJqjmo78ENL9aGE7ZQzgl1r45rsD6MfpoOJD1OqMWqvqYJ2QN+jjMlMNK0x6t3AenPJn\nU5OOXUPk1SY6v3Be4BfOzErl8PKZyAmjUIhvcaNi5RzEOOOQFutD00Z5vbSkY99ilmI7ePHq9dL/\nWSXJXboDg29+OOAavHp1McMn4Nial7jVAZR9IDl3GBpKtyMl95KgKTrMbtMbrSahZ/Kzyuqgdv3d\ne/Zh+co5gDMOaGvFbdddadjxHwhuvQllEaL2DBavXh+QZBgA+qalon2r+gJBRE22WPHMxYlKaRWu\n/HABHnnodtXfGdmWLlxdhEanC9kFU2THk0bdqdqP9ZTYCfYO66ur0CDEyca4FYs75XOvr6mCs0cS\nWkfcGXR7Wa2PifebmH9doM/muvlw9khCm0pidCvz7rEYcTEIxfIpPpOq6hpU151AVlYWMnonq1ps\nxXGjd2u+DQ64Bueh7tvPuOdTji+/sr0GJ5P7yHzSeGXzrMJWypja1s6MeW+iyctTfzofolZn1FpV\nsxMti1ZyPrXVr5bCpKYQ8lY7jzJle/QKVytXNpFYJY0eOQLzFq9Aygi5sI/rm8P9vhUBHKK5u2/H\nMd/WZboCOdS2gtpOVPAv5oznHlZWBxCJcwgQmO4hXsN9YCcSmmuRkBSYogPQ/0y0StkYTUMRCWdu\nHmLVjAwmelXNUZelcHURmrLy4C5aLFlfk3OHYemaIu4kGUxx0+Pz5/8MmDLuGukzsWyXkqzMDEwc\nWyCNd2dCCxoUC4RgsiXUZy5OVABkVt5sV7zmefVuHW/YXIy9Px6CIymD+321fmxGDinT6VRX7MNZ\nE54ydA69KF0gWEVJ7TpafYxNRn6y8iB+WjYLMXHxQIsH/TLSkThKvcyPVXn3lOh1AzBr+RR/+/yS\nNWjKykODtwHZ4x+XqqscfWe2zGIr7qQktDQhCwISy/8PyfFtsrrQWjI87YIrZDsOaqmDxH8fnvMK\ncjTK5iG/m0ZT8jppQnszGp0uZA6/QnPlptUZeatHscjvd98fQF+DYcNmVqNqZm3eaufRyWMNm9Gt\ndJ6OVF6blNS0AGuBaBlQbl86E1pCupaaYN8TxMeD5zwqbgUl9MzkWkjR5uWeq396CrwaxePVtpsK\nQ4j4A6wNQokWZhcIVdU1fgHPyI2jRW+iMj7wHenxLdXj88f7TNmHgM53z1vsWWld1BM4BATmlcti\nKpLw0LN1LD6zU4lpAMfq5ykrQc33P3C39szIITZirqF0O3pk6l/chWIV1dtWrT4mnkOMFGR9B4OV\n+QlVmQrVxcCM5ZP9bczwCXAXLQ7w50q5dIyU/FfprtEG/4L60SnBA/HE+3N13N/B919GjEOQ0mIc\nbonF/bPmY8qefVJajNEjR+AXHIs267/XbfOM8TrpsTUvwZGUEXTlpicZKG9/vUfPElMRSEZXo9zt\nzhS/WVt5z2ZWbVY6OFt5Li2TPM83Ijl3GA6vmIXY1P5yM/3GRSEl2zUj2NWcR8/MTMW0Kf7yKWr1\n6ooYpctTVoKGbWvROykR9UfK4fh5FhISe6B/egqmKcz4apNwKILSqiCUaGJ2gVBdd0JWEB4Asgtu\nR82qOYavoTWRsj5/7GdSIW2VPsR71lZaF/UGDqn1Ly0FRc/WsfjMkstKULNzfUDkaP3ujRiokt7G\njBwS36EYbXd49QLpWsrFndntTN4z0dtWrT4mpjnhRZoHK/MjvsOmrDxZzq2rx17F/R3vfmJbPKhe\nOQdZWXILkx4ltQ0O00XYxWfC+71rcB6SD32JrH0rUb3/gGR1EzESgQ90+i+3OE4hMf+6gMjKwrUL\ncOHQ83XrFVZiK2WMh6+tVbKWaK3c8s4eiN1M+QxAfcJSOgUC5uue6UFt+4JXrBowZ4Gy0nlaeS5R\nmYjN7m8okk9tIhAd3Hm+EUnHvkVcSi8kKoQRb4VlZCVrZlCpOY+m71sZVIG6sMO6UVlVg6ZGL1Iu\nHeOvXzepMyN3y1b/swh2Dzz/FCMlmKwKQokmZoViVlYWNyVHZmam4WuYUQjZQtpsH/J95t8iXmwg\n4bEZ9AYOAWrZ9dUVOT1bx+IzYzPT/7R8NmIdAuIdAgb+mb+FCGhbE9XGvhMCPGUl8DbUwFNWgvY2\nL8refxHxrjSZnDn2wQt4+rUV8J35K7hLd6CltlaXX6aaTCvIPwcVGlZvES13ldqmVniK3kRMbOC0\nHKzMj6gYF37ymWyRVbR1GfCf16QkpcEc/zMAtG5dhqFnDUTh6iK8+PpSHGv0aiY+dUJAw4kTENr5\nyliwVD/iolzNXzIrMwNL5j0b8nzJLnJunfYEvuUovVmKyMpwV6lhsb0y1j89BbVNnoBJmy3uKgoF\nR59B0j67r9mDay7L4wo4pVAVhWSfvauwZJ75nEU8tFamvISPgDmt20rnafZcojKRfcsT0j5+qClF\nRAd3V8cxZS41NWdnteSrIrx2iU6lB49WQPj+MM4Y/w/ps2CDSm3yrayqCVoWSBz4k6bNgHDleJRz\nTPCBCQSDZ9k3U4KJa5U1EYQSTcwKxYzeydwt3r6pyYavoaWsHa87wf2MV0g7klvEehVInjVu0rQZ\nmoqcHkVP6W8pKmX9Ovw0eeO8sqpGZpE++P7L8J2sR8+eSTgjKz0gWtlTVoL7Z81HzlvvwV1ThXrh\nCOJTMqQAm8OrFwSMPW/PPkg8c5hkGdEbxarl7qDH11etjzmccUi5bipiykpQvfVD6b5Ya15v30np\nufHOX/LjEZksAYLLGN79iL9JGnIFqiu+C/C5452z8p1Z8Lb5AvyxfO5qnOwRgz9MnhpQk1gZsJCS\ne4nmLpXVuz+sJU5sb2tTPcoa63DtX+5DRu9k0z7cZrCVMubjrCym3zUJADD3jUIpCq5/egpm3tNp\n4heddFtLt6Pv8Bv8HTgtC59s34eX/vNaQGmEYC/VyhQRWs7T4kpITck0ipXbG0plgkWvaVhtImAd\n3Hm51NScndlBpzfViehUOnDSbKnwta+hCmf1S1fdJpKayeknesoCsWiZ4NW2CrUc6836TvH8ksxs\nTVmJ0euwkbC8LV4eRpS4YAsarRyI7x8s545lXiHtSG4Rqy343CrHWYIpcqyPE6s0OOJPSd/Vev5q\n47y67gQyxnfm7otz9Ub2zf5FVCuAxe/MljKjS35EHYvF+qLFGFgwxe+8/9Va/+979Za1s7WpHu3N\njQAgvS+9UazBfJOVwRxKy6ea//LbRcXog04LIs+a17RxESaOVR8jvLYF62ti1Rf2uQiCgMzfjFP1\nuVOe01NWgrbe/dEn9xIc3/kpShc/jnhXGgbd/BA8ZSWoK92OniMCaxKzAQuAP2CprakBB5c8ibPP\nOjPAGd/q3Z8ds+ZL7Rej1xtKtyP7pukyw4MZH24z2EoZ09JAtYRUGxyo+/YzpF1wBWp2rkeCKx0A\nkJCRg1ffXoPPtpfItPJgPhKhpHVQTjBqobn+7YvHENOhIDhiYnCq/jgSWht1bz+pXTPUyZM93/c/\nHkIfjZQiWqgpvWoO7kr/B61Bp2fFr3Qq1dpq5MENutBRFohFfAZ6EwgGs5pYFVxhdmvKKrS2sEt+\nPCILcXd4Wzr8eaaiR8fEcbDqOOYtXhHQLt5YMLKy1VrQqD0zsa4nO5YFnw858a14cMqkiG8Rs8/g\n4MFDQJNcSTz6vzcxKJEf2csSbNEqbgkq/W6OMRnNgym4vHHObi2z/lOS0uDotDYq/avEMeUanIfK\nL94H4B97ygk3Lqm3bPzpTZGgxzpjJCWHLMChAzEFg9KaF8wZnte2YH5c9dVVaPDWS89l0E3TUfHp\nElmG+2DnZN+Ba3AeyosWY0CHzNWqtKKsYsAuynnJba3e/ZmyZx8K1y5Ae7xLutdw18XWwlbKmFnL\nTn11FXzeZhzf+QniXWlSR/CUlaC1qSEg98ujk8eqCuhgpnktxMKiSUOukFaKJ8t/wtm/hdQe8bjX\n2wagsxN6ykrgK92O/gX/MFSrMViEl1ElTXm+U0cDByOgz4qoplQpHdzF46z/A6A96PQIRdapVGv1\nrgavHWplgdS2LsVnwBX2tUek/4vta6kt1/Rd4dVoM5uZ38zWlFUE2x5hQ9xF4a6c+JXF09XGgpUr\nW94zE9PjKH1aezNVM6zaIg628FKmdmhN+BF9OvLViUpiyrmXoPfJA0GvpWUJnDRtBqqqa1BTvgeD\nJ/5L9rusMQ/oSpuipdyKW8vs+BXfPasgKBUDNhobEKTtr6qta3D2hKekCddTVoKqrWuk3+n1HdYT\n7MCWTBNRG0NsgAMrH0RrnhIthZ3bNkbGsIh9zREXh+wr5YqI0N4uPddgcgsIfAfs31rKoJltRyt3\nfx6692+4cOj5eOTF1wCAu23piI1FdUMFXtLwu7MKWyljwVATRI64OMSn9EVzzRGceXOng7S7dAcG\n3cSvW7Vk3rO6/MlEgq1axcKiKZeOkU0YnrISHF71MtIuukp2XLniqPv2M+SMM751obUN6k1INmzh\nUJ7PmZyOw6vmIYd5jlpWxBnzFvjzh3VYItk8XqLj+a4fjyK+xY2Y4kVobW2TLCDitoVy9cgjmPVM\ndAwVemUFXb1roVzFPjznFSizJbFbl+Ig3jlnIQYtXoEHp/y5Q/EvQmW8V5YP5+qxV6Foqz8CSq/v\nCnvfVmTmV6Jn68kKtLZUlCtUUUgGq2carSziRiK5AXN5Cjt/p221VKZ2iE/JCFASAaD+sy26/B53\n79mHxYVPwIsYxDjj4Ir1YXVLixR16Fy7EEqM+MSpjXPx+YjKFfvuWQWhtbFe9jvxMwcc6Jk1GMm5\nw+A+sBMxMf4+xFrOTlYexOEP5kkJPfVUL9BjUWZLprHw5hBlgIOoNLdU+JVlIyl+eG0TZYxaXxPT\nCymthKKiGpDFoPIA0nony4IJlFZ/9m+t7d+JYyPnHK/G6JEjMKRD+WcVeeUcvrhokyzRq9if01xJ\nlrWlyyhjWoIoJTUNzlgnUKOtsYtoKVZmnQTFwqLKCUOKIip+D2dO7jS9sqUWju/8BEIrf7LTGxas\nhI3iEtEzMbHnE/PdpF00ShqMvtojmDL2Kq4V0VNWAo+zF1IY/wCxIDvQKazEzxrWLYCzR09kMEn+\n9CoTWkLx97feiSONrYjpfz5aftqN5uNHcbbCCVUZNcPCyyR9xSV5qhGg4tYlz3IzY94C9EnpiZTU\nNGT2zcDDd0+UXfPCDgVPTL8QzHeFve9QQr3V0LP1pMTMNrnWloqatSPYeFZzCag+wT8eSvtZjPqy\nGN1uMWJxUaZ28JQFpu4Jls2dve77G74G+p6JwcwiMn1UZy6p2PjEgPaG6hPHPh9H/CkcW7sAjh6d\nliJRph58/2X4muXBXa7BeWjeXYT2dh96Xfz7AGsaO74yh98g+ZEqrWHBUnpoWZSNVFFQC3BwfrYQ\ntesCK5QES/HDaxsb2a1c+PLcKJSKqtiuhnXz4eyfg56j7kQ7k6YlLQGySibJucNwdPV8ZI+bprn9\na+W2I4vR8azcvXDAIWuvu3RHQMZ9sT8/MPGmkNrK0mWUMa1VrxNAm7s2wLRrtLQIYN5JUCwsqpYr\npaXkk4BjJysPom6Xf2tVDbW2ih1OLWktL4oLUFfueOdT+gKI7OlIKaJUBLUsF2weJmlLrsGNs64L\nTWjztmiOeRORPOS3aCjdjr6/GSc58iphS2mx+YaO1TfiVM90WSbpRctnIue2p7gRoDkdW5fK++cp\np8pJb/RIeWJBPb4r4n1bmRpFZNK4Atw/a36AX5ya8mrWx5KXisZbWeZvv4a1g4c4RiorKwOslgBQ\nVTRr1J8AACAASURBVFWl2g4rSn+JFqTlK5/zB6e0eXHbdaMA+BcGvPIwvL7Ls1SJrg9ZYx7QZXER\nJ1fWAgR0KC7ek4h1APEOAf2vk08uTVl5eHjOK/gF43Cu9LkUU0aw8PqrFT5xPIs0i2uwP5/WgJv/\nISlUkq9eai84nHFoZaw6rU31OPzBPKRdOCpAeVNaw8z0CVYW6vU/A9STgfdJSUKjuwbZt8rlo54k\nqkrE/vnNT+XIUix8c9PiUbl2AZKHyJOqZw6/AQ3r5iO+o5awMi8m617TuGsd+ia1STnKclOTMfTa\nX2PPvsCaxDxfcKPKV7AqGEbfXadS6N+9OFQp779m86cZpcsoY2qr3lbBgSnjrsHOOQuRll+AIx+9\nioHX+yNxknOH4dDKlzHIQDoDs9q6WFiU9UOQwXFab3PXImf8Q6j4dAlcZ10UMICPqdSGU0taKyo5\n3upD8LW3c+sg8pQ7tfMF64RK64aeTstaXYwWRVa2WTkgRYXdwTigAn4liUecQwgYvOVFi4GeiQGZ\npNkyTUpnUycEVHLuP9i2mohauaVgee/CkZBw9MgRyHnrPa5fnFrNQaNbg2IqmqQhV0iTaFPZt4jt\nmYyy918EAK61wxUHzVxLfdNScaQo0Fl9YCrf/8Zs+5X3Mvf1QhxpbEU/Jrns++sWYPnHmwOUel55\nGK1ghsVrPpUUYz2LS3FyV343ztUb2QV+OSiOOzaKzgEHchTJV+N83gCfrfgUubqrLA8TLp+4FxHo\n7C8qfcpt2PZNr6K+4aQU3Sp+Vv3BC0jXUT7HTJ/QGsNZKT1V8wIq5xu2xqWDIx89ZSWo3n/AUDHy\nDZuL8cb7H2OQwrevKSsPW/b6fTTFSMaf/t8n0L9fJgZn98MjD94hO7dy8SfJ8vGPQ0BnjjKtiM9Q\nYRcnIlbU6GS3+avq5ItBM0YdM3QJZWzD5mIcPlohq1ElEucQMHrkCAxavEK2EhJXSRlOr2ZuFh5m\ntHWxsKhr8AUBCmDjhkVcp3VRmAjt7dwKAznJcdx28JLWHnz/ZcQ6gNT8q9AAIWjOlmDnK1//FrxV\nBwO+y5Yvqa+ulpmntTqtWHuRVVDMdnK1ySvO55XOqzdSSjl41RRKPb4Pyu/oXVEpV8d6fFd4v2Pv\nKxTUcnPx3ksoJWtcgLS6Pll1GIMnPIXDqxcgZ9wDXGvHx8sXqZYK2rC5GNV1J5CSf12As3pWcykA\n/kQfSnQqa4kdMEbuEtDodAE6y8No5eOLSR8oHXMmp+PQqnkyP9ijq+fj6mt/Lf0tnnfuG4X4acUs\nOFMHBASFsNGF4hbeAEU7Y4ZPQOXK5yD0ygKgve2ZdOxbzHr0PoV1Ijw+cXoCIfypMR4PjG5N7YV1\nSwJ93JSY6RNqY7hg5AgpJ5qWdVz8P1vjUilPOpWfx2TnUiZgVSpoc18vhBAfWN+W3U5mldl+KiXi\nlIs/vYtNHmZcA0S/bK1o9lB8vtWq8rDbriLh8G3rEspY4eoipFw6RrM25YNT/gyx9pSU5frLpXj0\n3vsMK1ZmOopMCLaelAmBXq0nceHQ83Hh0PO5wkSpLIjFSx2K4qUivKS17tIdGFAwReb8rCw2e/ef\nrtcVtCCuNB2bXkW7sqzPt5uQPf5xHCwrgdvbAG/1ISSsmImBA7ORo1LkeOjFudi0dafM98NTVgKv\npw6HP5iPnBu1O7nyfdSeOIGYDnM56+DaUlGGwb9FgIVSy9qkLBTf2lgPZw8XlCTnDpNqpCnbyr77\nIxqOrSJKpcasNTbY78z6QhlR8tRysanVGwT429s9O/IZia4GvMhE8Z6VViXRR7AXp7xJsJQ1Ce3N\n3GegZ9XLWmKVqCniQODEoFY7tMnbjjimD7W5a5HO+G8KPh9SLrgSe34qlf1WfD5Pv7YCSaOmBFig\nxfEh+lGqtbVvWirqT/p9ssSs8MpFo7OhAi89JpexZvtzMKuG3kCIXi6X1Fa2Dwlb+JHhSowUQGfH\nFy9Yadm6TbojKwHt7U6e8qMncXRFXQPiUwIrTuhdLIr3WVVdI5OBZrfvzLoGiH7ZWtdk3x07N9Q0\nlEtzKU8uzlu8QppTePOFuO2q7M/dtjalGm1wBK1NaZUzYCg+JKKZtO2KqQGf8SI4RWGiLF6aM94f\nEVrHZJYWswGPHsmv2aZ0fuYVm2VLlbAdklcjEvCXoZg4tkB6pjXf/4Ds8Y/LVtVih/+58jgGZaZi\n3CV5sk479OJc/8qwI5t29dYPpd+f2ZEUsHz9W2itq0Budt+ARJ689yEWzeVFvRxdMx/ZY6fpjpRS\nPktfWytOeWoDFH/37k/x19//ljsgxXcvPlfxeTlVlFO1hKNmTPtqvwu1HwP8saQUZHlnD5SVgWEV\ndjVLAG97W1RcjVhL1SxTyooOo0f6g02asvLgLlosXS85dxjiD28JSDbdsG4+4lKScM2td0kOz+z4\nExEnTl6b1e6Ddy+8dCUNpdsRlzZANiE7YmO5kZGtewPTVBSuLlK1WLsG5+HE3i1B25qVmYGHxxZg\n7huFKP2500quzKTP609m+rNRq4ZaP314zisItAMBPx8sCxpBCqiX1hNTeqjVsuQFK7Uw0abKdAm8\nhbbWdmcC5570BEvEOOO4uwMnK37inFE7Z1pSWQmOvjMbOdn9EdfAs5/7Szuxzznv7IEyyx27mFZr\nMw/RL1vrmqLCmDTkioCFGVuKT5kBwH2yGayaF86qPGp0CWVM7KBatSkB4wJAy++IxYgPiRGBwgoT\nsXhpRoffiZSk8NIx+Ll0B440N2FHR1V5rXwyvFBw5X0A8sSeiT07lRjpfIzVR2yn6DPAblkooweL\nGIFUuLpItjIU3x27KhePuUsFVNTWydJbiOdQvg+xaK5q5OqqOchK7Y0jjcdR/o56UW4g0AqU0DsD\nrrMukmroxTjjEBPfA4N69wyo5MCDt3qPRCkNJaH2Y95Y4il4FVuXySwCosKudt0Nm4sDag6KipGe\nkii8e2QtU7yKDgBQVV3jz13G+pMVvQk0NyA1BVJm/6RYH5w9U1E34FeSPwzr8Cw+G6BTLvEmul5t\nbni9Xs0ybiLKPqgcXykdecJajh8NeAZA8O1jXvtiTtZpfq4c/2a3Ho1gVd6pvq8vDfAdLHvvRcQn\npaFSRwSp0p/RV3sEv7swVzaJq23tssFKnrISeN3+JQkvQpl3fS2XBTb/moge61S/9BSuC09vRRSk\np6wEdV+tQWxOtpSzUClHxPHVd99K/OOvf+QGH7CRup6yEuxQpIUQF9NabeYh+mUr++rht2ehT2aW\ndM2kshJUffEuzv6LfKtV3PrPUMinRqcLMcmBuyFAZMvDdQllLBy+MWqOgKLfkRK9kRNahWB5qzKe\nsgP4BbKYFTkl9xK4S3cgJn0gXnv/Y/wNgdUKxHwyYmflFZsF/MlJH57ziqxD8pxweUqDMlJLTeFj\nc5wpI8CUq3KllW2nIkcXT7lNzh2Gox/MRUxHpQUlzU1NqIjriexJnYOxZesy7neVq+uahnK4Bk+W\nfJmklWxdOXclGwwjCwQrKylYlamfRasun+hjohXhKSlzHVZSNjTed/D/kJL7K64jsZoCq2WZAuSC\ntLruRICSmJJ7CU7s+gSuK6eib8exo+/MRvb1d8q2+9l+8PCcV/Ai/O9VlEuiZVu8nzMzU/Hsg3cA\nCCzjduNv81QLhIt98HhLnXTNtqYGVG/9EHHJ6YhvP4WmjYvQ2KMvGsu+RUxcAtqb3eh1Zr8A2aJm\nYcHxQ4hPSEDvpERpy0n8XLR48Jzardp50MIqOZ/ZNwPunrkyxSM2Lh7ZOvI4Kv0ZRb5STOJ6lCB3\n6Q5kDh/LTZegdn2eQ7/o/K/00QWCJ3UF/C48T7+2CK5Rd0r31LhhEW4c+we8v+Fr/85E4wk4HA7k\n3PaUbPGhNR9y/fiYiEvxGSjTQrTF8mx8wRUf0S8bTBJjX+0RZPbuhcRRcreV2B6BtWcByErxiThi\nY+E66yKUvf8iElzpkuW8ra4cjzz9IOck4aFLKGNWCwItR8DKlc9xw+OVplsjWef15vVhBagjNlam\nkLEDuXDtAlw49PwAJ0t/Phl/eG7Zkc5tBVnUlOCDI753wGeO2Fg4BWDKuGtUn6syUktNILE5zngT\nJZubSMvKpuXT036qCc0eedSLeI6YvoPRT2XVGmxLRbQAsIlYRUKpbBAMK1Is6Nl6DmWlp0fB07Ju\nKANF2K0u/3Z4EVoHJCPO4cLEsXcFvW8ty5S41Sj6rYl+RCzu0h04Y/xDsmOiTwov87sIz6m8j+BA\nXLYLE8fezJ1cAX1lcgB/OoxDimseLXoTgwb2x6B+Kdi470epeLOnrAR7d32KQSPlsqUg/xzZ9rFr\ncB58322CMyu7c/uS2XLKTU3GxCenaT5zs1vpStTkp1VyXgqmuuav0rHylS9wv6vHfw9AwCSuJ1hJ\n3FYGgOPb/6fr+oDc5UGZm7Ft3QJZuolgSV3F8wGK53rPn6UyXilQt/QFmw/ZHYxWwYFjtQ1SFD8v\nFYqnrATtbfosxrzn4r8PUU4ImDh1GhZ3pAZSq9Igg5PVQHyXcYm9ZM+g/IO5mu2xmi6hjAGBE6ba\n6lIPWo6AfdNSZU7rQGBmdz0Cde4bC1FR688v5G0+GZDXh6ccsIqcGBHIsz6p5XwKplSUFy2WObfr\nNZ2z5/ffm99RXYjnm3bbfZ3/V9vCEVd4waxswmcLA316tq1F2q9uQM3O9VwH11BSZoj3yCZiZdtj\ntrJBMKxIsaB369kseraRtKwbymAJEWWRZb0ofXtYS5uzZ6qsDFrt3tkB0di8xYTSdy1YxJiRdut9\nx2KJGpbsgtsRU7wIX+39ETlMv3SX7pBFbovn3LNvZYD1XGm1YLecjJaLMmvFNVK30Sxci43OdBtq\nhdWbPQ2yv9ltdXGh2+apRXO/LLjiYtG0cRGE9s5cb1rpddTg9ZeU6x5A+r6VMj+mC3W4QvCeKzse\ntYI49M6HnrISnGj4Fn2gngrFXboDg29+ODBaOr7VtPuE6NqiVqWBbTcvq0GvNjfqvlqDnNvkicEH\n3DhdNjZ5ff60zMAvYoUFQcsRUOm0zmZ2nzRthu66Y96EZMk6pFc5YIWII/4UfiqvRGLWYF2/5RHf\n4sah4veQMeKPKC9aDG9DjSnTubKN4qpNGT0I+C0S3tZOsceLTHmkYwtn6ZqVqG6oAKAuDHpnZGLK\nuGsC6kP+zBnU4ipMz7ZVsAzbbCJWFrXKBnpq8WkR6rYiz7cDCL71rMRMrdGgq/CO64pCU4kZax3P\nt0c4UY4pY69CyY9HZL5BAJBy6ZjAaFjOFo8YNSsmwVTb7jez3av3HYslagLalpqG8lq5UqC1Xaac\nuNgtZD3O5GqEIoMjVbKK57upZwtUaG0NmMSP/u9N+DqOi8qXIzYWnkN70eauQ/qwa6Qi2wDQBsDz\nziy0nmzC4ZUvI2f8PwwlghXR01+U49VIji92cWV0PlT69HrKSlCzcz1ie7pkc4syFQqbjJgXLW0G\nUS6xY4Gdd+Kba5HHRNArlddHHrwDLwfJrajW51+49zbT7VbS5ZQxKwazmiNg5YcLcPU1lwV0bkB/\n3TGpfiGzejUSIcYKkZf+8xpee/9jXb9VZpH3R/pMRcyquTLLmFnTufIaTgiYftckAIE+AzG/vDIg\naWfTns/wwsPySEbWMVjrGbEKYOHqIhyrrIIjpb90bmngdZimgwk+5WpOWUty9Eh+xCrAr2xgpBaf\nGkZ9DZXwBLdrcB7OPHkAb8/nRwMp+4y7qRENQoJMueZZfdVKq7DKLK+NepQ5vRYXNd+ePftWqj6L\n5ENfImtfoJ+lrD3fbUKyw4vGXf8fWt0n0CbwlR0zCqT4joPVG9QKz29tbZMdb6ktl/4+vvMT+LzN\niHHGo6K9JUDBYq8vj4ZuxwOK/q+FURnMvtPvfzyEPpztc57MsdKHUu8WaO++mUjpeY6k4J+qP44Y\npxPo0QtxyX1Qu+tTyRIptLcHpBMC/M+3rXd/DLrldmmxCE8N0hMg22IMloYmWJoGAJpKcbDnx45H\nPWWLxK1Idryz5bcSXOkYUDDF3xc75ha1mptKgqUN0Xr37G4Gizg3KPOmqVnXtHIrqvV5qMhtM4Sk\njK1duxbbt28HAOTn52PcuEAtv7GxEf/973/xwAMPIDExsI6ZUaxwTFZzBFRGzACdfktiKK5WaK2Y\n76g1Xp7xW49PC6+zidF7hSr5rUR4WeTFve/25kZpxaYsAMsznavliFJbGTw6eayso9867Qlu5A6b\nhoRFufWpll1dmZSPV+lAmQuMdahmIymVxZSVfmqAuuLQLz0lYLtDGV7uKSuB2+3FIy++hiGKjNtq\n8K5X+c5MtCe4dCl5RiPRlAppg7cejrhE1QgxVtHyt2MNMsbfY6imaLAJ0YjFRUsOqD2LrMwMFT9L\nv3J55OhRwNUH2eMeQXtZCbyl29EnSHSnkUlj0rgCfxi9EC9VCQGA6o//K8uBJEab9uKE51e+Mwtl\ny/6F+D7ZkjIlVi2Id6Uhu6DTB06Z7V/c1m2Pd2n6afKeN4sRGax8p6eO8n15eJOxWlUCrQSn4m/V\nfNL0+CGypX58zEK2peqQbEtYrZaqsowc6xvJ2w5Wu1fR70/Nf5Wdl0TUIubVnp8YCe2oqkFD9VFu\n9LnWuFQGdYn3zM4typqb3iA+blrXA/j+uqNH8qs06HXNUJP3YjqTPT8e4vrgWolpZWz//v04ePAg\nZs2aBQB49dVXsWfPHgwdOlT2vQ8//BB33XWXYUVMbUBZUQKGdQSsjGvxr/Cz++OrvT8GhL3GDJ+A\nY2tekpwS1RQrZ48k1LfGYsCYqfhp2UzZOaQs+UuexCUXXygrecHLxRRw71dfhk2fdfqg9UtPkZ1f\nK4t8XHJnUSRlAdjk3GGy8lGeshLU796IgZwcUcFWw8ralsHSkLCwlq9g5nDefYhtb9i2Fr2TElEj\n1kjLTg5wqAYCiynz7kkUmrztarWyLFI7GMGpR1ERn11si0eq7+Y+XoUmbzvOuqUzmsdTVoLj5ZW4\n58kX4Ep+TVbr0GgkGvs8jfrahWKd1poQjZxXSw6IFRH0PAtWuXT0PUtSRpV9g5e7zOh23eiRIzBz\nwSIM/P09suNpv/875i9eJLWDzcnH5gkEgKxbnsThwidkbWs/6UHPzEEBijSb7Z/d1hWtFkYyqCuD\nQxJ7yq17ybnD0I8jg5XvVO92Ha8v6ElwGqobCzuOlD5I1YoFoFpuPKPJUAtXF3Fz4O35qRSPTh4r\n+a8qLaox7uPop3Idtee3aPWHcKYOkM7xw6GvcfPoy1De0KIafa41LtXKb6m95+l3TeLWcWXfjdr1\ngvnr6rF+6gkeEa3+PRLiUfhJHbLGPACvyiLCSkwrY9988w1GjRol/T1q1Ch89dVXMmVsy5Yt2Lt3\nL44ePYrzzjsPN9xwg65zaw0oq8KfeSv8VpXJyNcm94ESM9s7Yx3oGRcDV88eSBx1Jxo6fh/bo1eg\nwvbDdgwe2B9vz5+NP0yeiiSNFY0/c3bn5zuWPQVHUioGMDXu2E4oKhfKrQtAHrkI+AvAespKcHzV\nHGSk9kZd43Fpommu+jlA+Ivt0loNa5WSAIxtRYmRSIJCrivv0REbC197O8rf/heys/qiqdErRcf2\ngnaNNN5qTnlPgLbioOYcrHeCY7NaH2v0ShNMBoC6dQtQ39SKHv06/QVFn4x4Vxqyb/ZbP3i1Dtl2\nDb04VzXQhX2f4nPQu50ejrQZvPOK77qmpU7Ke6THf03vlpQIL1+ZcqXP5i4DjPmPsjR628FbllbU\nNgQsODw/fcM9R8/kzioWDaXbkdT/LO73gM53wm7rilYLIxnYWXnsc3+I2l2fIj3/KmksVm1ZhYsu\nPT/gXLzqHgBQvXIOfnmeui8jr4/pSXCqpoQoi6AH2/JaumYlalo6nfldg/NQ9eVq2XfVcuMZ9Vn9\n9ts9ENIbZEm0j2//GO72U5g4tgC/OO9cHOQEW/341gzV6/DG4vGdnyAutb9MaT9a9Cb+3w+K0P/W\np2XfZf1glVYhdlwWri5CQf452PTVTvxU2ZksW3zPh5fPxOCcbDhaW+BwxuHF15f65R1j9GCTkQPq\n8oX111VLN8PKbGWgX97ZA7k7X4Bc1os6AbvDpKZcIl+RAzMETCtjHo8HLiZcPDk5GQ0Nnc6lJ0+e\nxNatW/HMM88gISEBy5cvx+eff47f/e53Qc+tpYmrWSz0mqq1rqM2iPqnp0imVV5mezGJnRQim9Qb\nybnDuDXyNmwuxqGqE6pJ7+YtlitinrIStMCJzAtGST5f4spp6ZoijB45Ag0n6gL8QMSOw+tEYi25\nwtVFEK7sXKVrWUb0pCxgcyP9tGwWesY7kX/+Obq2oniZkdmB4oTAzbhf8+UqHK2qwYA/yyNhtCZF\ntdUce09q8BxmxbbGDJ+ga4Jjn0F50WIMGCO3lDQ6XYjr21vWPtYng4W1figFkZaFgOe8q9dqIb4L\nmd9TcjpqKtRLIKk9P/Z7Sh8ZLQujmsIFgPGx007VIsLLV9baWM/9bn1NlSH/UeW9sgs7Fl9ba8Ak\npJrFvyM8X0x9U711DRL78Cr3dvZlXhJYh8qkp+z/SjnZ5q5Fev5VAcrBlrULVP3UWFyD85B6eAuc\nEAJ8kLR+pzW2xGfNUxzE5L0HVfxDlYj9a9K0GTI/otjEpABf2Jod6+H5ejUGZvWVio+rlYVTulw0\nZfm3805623AOZ9sY6NyOdB+VL/I8ZSWI6dVbNUUEL1jG522WbWMD/ijdsqXPBHzXU1aChvpTaLti\nvMwqxM0L+f1mDMpMxZ3jrsamr3bKEiiffUY/tHlP4VhjK7LGTOXKO6WsDuavq5UFAAB3kespK8GW\nd/iJYNWUeT0BAVZiWhlzuVxwu93S3263G8nJnYnW9u/fj3PPPRcJCf4EbyNHjsRHH32kSxnTs0LW\nCsVWTkQelbJCyutomVaBjui//QeQrVgNixnh2ZWSWo28wtVF0veVxDkEWZ4WwC9wnT16BZQfEldO\nGzYXo6H+BKoOB2a1FyMYB6X0RAzHcVSZakBPMWxRgDhiY+GrPYJe/Xpjb/kJpPcMHCDH1i4IsE5p\nFUXmbRGLq7Oq6hrUlO/B4In/AtA5IAdP/JfhVBZ6/dSUaPnNiWkExOhQJewEpzbgRViFmy2Fowbv\nPoNt+Wk57yp97QDIggh6OX1oKOnMqu0pK+lwbFYvgaT1/MTvqW0Rse3Xilo1u0WlzFeWknuJai6k\n1IQ46fxa40WtLb0SYrnReoPSUwImIfa9iOMejceRmuBE08ZFaG3yoKF0O/oOHxuQ5kVsr5i7iZcE\n9vjOT/HzypdxBuMHxev/SjlpJOUOr7SQnryLWlVGlLAKsnI7KVgew9179mHT1p2oqOt0AeFt/XvK\nSgAAp6p/li2y03vG4dkH/8E1Bmi5XLB+YD93lEyq+/Yz5HAS0wqfLQQaT0jHPGUlqN66BmdNeAo/\nr3sDB96agZj4RPi8Legd35mMVfn8YlSUnHbvqYBj7tIdyB7nd5Fg+2HQ6it3TZJt4bcqFpx6FGpl\nDUxA7q+rJ9k4e02xrT0H5AZc11NWgur9B6RFZE19p07DKyOmDAiwRW3K/Px8rF+/XtqW3LRpE37z\nm99In7tcLuzduxfXX389YmJisGvXLpxxxhma51T6HQHmfHDYiUj6/S1PBDgbK4VfsHQAo0eOwLV/\nuS8gBDY5d5isvIv7wE60Vh9GRUcBbTaj9eLV67lK37GOoucPzfl/ZOd2xMZKTvi8FcGMeQvgbvYh\nPlmu4LG1tdSi6bSEvwi79bN7zz4UfvKZtFVQtfVD7K34EXFpA7gDpB9HOKtucfn4xZLZKEUnU+eN\nvV4wC5eWn4CRckXBLLadQkh7G519Bmp1DZNzhwWUwklM59lTg5fDYWG3YIHOhKX1CacQU7wIZ6am\nyZKX8pSKo+/MliVMVst1pczRo4wyVn5P7GPLVz6H1lYflGhFrQIIen41RMf6RqcLbU0NOPbZ28i9\n/XluLqSU1ExJ4VSOF9FvsTEpEX974nkMniwfdzHDJyD5s4VobWqUndfV7sH0u+6Q7ofdqvR9twnN\nH72ARiFBGneeshLUbH4H7T5BCs4BIJXwgq8Nvxg0ADPv+bOqciOW2Sm4+P8n78vjpCzu9J8+5+zu\nuS8GBwaYmFVGRMxBwrqCARJRQXETo2KCMZt1zQKu+jPBYxUjriADiUuIfhzDiEeEcYAQd1COsOig\ncgiDRJmBZsZhjp67u+fs8/dHd1VX1Vv1dg/qfvjsfv+C6aveeuut+h7P93nKlHqrxMR9IhwMIujj\nO0CJdfbFDjOVtFCOPQ3Jc+7RZFfXvVClaRSRqYyIAWGOPQ3J194hvSd6PIYEQ2XKLKIBdq+zHv/y\n7+tQWhIJ3OdPn4J9+zdiwOunWrqexqMIu13RYOVnutk1mQVg4MZjsiZHmgV8coLrjNx8GMwW+BGD\nKxgtSXDV7UBodBBTfhpLTDRXP4e1z2/CtKmXwTri4dQfCjO1vJBeZz1gMGr2fV9/J/03G9z7+9p0\n55OUgz/97DR9FlkHTK8BTqWBSc5PABoKC9bYMib7HjJWkQg2ljX9FX2mz78R4yM027PRXF2Bklti\nuN0vWwKMtQt2xi699FKcPn0ajzwS2ZSnT5+OqVOn4tVXX8UNN9yAsrIyTJ06FY8++ijMZjPGjRuH\nu+++W/c7ZbijsYBMibEHkd7nZdEXKeGpSizN59s05JEk7Z57imHivu8hJV5JJnpeYrfgumtmoegP\nVWgS8AcEhC+7Fj1dLUC/5CbboEN/26dsv64/08JFKwPOE5h0x2PRVmY5BYdYsmEdbWJeZz1GRrWb\nu4gRYfFvLEO6z9uL5rfWo+RmLcHpl0kymQhWKhG8Enu4kSaKjMu+Qw+YwaaTCA32IePK78HTeBQG\noxEG3zAM7o6EmatlbfH+wX44B3rx/Z/8kmaI45F9Sh1QhjBZxrItzguNkh1yZ7LD1YUly1eiefBB\nlAAAIABJREFUsbERvUELsqYvgKduu4auITg6hMlLnuDHwkTEw0IXszgOPTOnpGLcnKXcWmaxYl5n\nPdqO/SWy4UfXrygzZLJlwfGNG9HfcBjJRTLe8sjBev/P50VYxMn6EJpMRA6kqppayptGM8I/fZpm\nVMSxmt6rxK4/8kFdoji6PQcOaqhUxH3CXjYDHX99Q3p9LpeL/ltFP9L+5mqkSwLLppoKrswpfTaf\n38QFhADw+Ru/AQnzxXKSJVrSlR3gnoYjMGeOi9ExHH0HRpOZkwRqq9uCJLMFhVEhenaes0/xzUti\nsKfXhMaOh3S5p+iUmlcsvQ3PbN6C7tYOWG1ZMMBA91/WSm75N7z8yiMoPNYIIyPzNVK3BTfOLkeN\nUD7tPbQdqUWTNLAaYxIvtU6uu2vb09L5ZMvB3QD8TAmfdcBUAb/BbOH2GTLHHcd2ITPDgapoV/rD\ndy3E8ieek85TMCwPckngIP627DwlfIRpl18Lv6cbWVfO4QKJpQu/l/B5MVb7QtQWN910kwaUf/vt\nMRK0G2+8ETfeeGPC38c6BUDkgQr0ycs+ehusKCvEmgx8GC8yJFZVUwvHN26U8pOte+DuMXXr2Gbe\nQa8z9P4ruP8nkVLo/f+0BCsrXooRmXr7EBxyS6+F/M026cq4ZQqZiRt0f5cLOY402DOzpASCojNi\ntERK0LbScvSe2C/9DbFkIwP4uz/aidzv3KL5u7+vnfsu9mEKB4N0AyARa+vul+HvbUNZcR5ty16y\nfOUFd/6Jm6m7r0/6PtHhjefgiYfbSG87eo/vRcnNKyKOaX8nAqEwOg/tRMg/CoSCKB5XCJvFBO9g\nDzqZaJfNfsh+g5RDaOn8lvvR76zH5wx25tqry5V0Aew9l3FbyVi2xXkhZZlhCR2J11mPwQEfPBPK\n4Br8G/JnXg93w2Gkl14B1/s1SM4tpjgXUo4WMyro7YL9W9+Fz6n9ftn9Ea2qppYeUJ6GI7A68rjX\n2QhaJLEkGaak1GL4Z8U0LVVyLCxvHmv8WuOxbiycQMyoyCwvU67LF29dJlKG94cNKDSEMWpLlZZb\nx2fGHGJV8DI0OICQ5CAsXrSCNjGpStFiQOh11sMXUJeTCLxClpERJa+stiwptQvbTc+a2LzEzpke\nBnbJovk4smo9N96+T97TrZiQ6//nR59FcXS/Yxu12PkY8oeke97JU9vwxC9u4wm0S4rRXzRD4xg3\nv7ZKq4PJMNiL8yk6NioHjJx5zpd/jaTkZCSlpKIw24GQQd+5I/P38F0LcUlBLpewACJrz+iPlVtZ\nyAERaxeTIIFe7fwRPsLOY7uoAovIY/hV2UVL+koeqM5tq6Wv622wLE6BXRSykmdbXeQGJ+JIBWCQ\nZrVUHFoyixehxl6PRs5FaUgzhfCeQn4oHAxyGJCzrz4Fo9mCpOAI1j+uxTLIxiOWo1S4H7FcEWIW\nf9YV1ypLnGKXGMAz8puKixCUzKslHOB+jy0jF2dm4Oz71RRDJotYgQvv/JNtsu5dG2COA8xNNEKm\nGLNPGzlagu6j70T5orS4jACApLoteDyB9UpeJ23xxEkQv7PXWY/K2n2cbJIM6C9rEFGxbIvz4urs\ngtvnRt7MhRyVCgB0HdyK0rtWobW2Eqn5JVxJISV3PHc4sg44l1F5/TecsoQYKD30AH/oi/eDxYmQ\n4EYVQcvW79SryvBa7UHkQB2Fi3Oy58BBrPtDFdp63fCPjgCpGRi3aIWUhFgVXF4Iq7ueJVKGJ7Zk\n+Uqc8FhwdssqGC1WhPw+pJeWo8ARa1CQAbG9znqEw4DP3al5DYhkSfUy2eLzHO++6+JDe1pgyCii\n95fNNLI2Ojwk/buot0pMDwNL5nLpyVMcf6TJmsyXAwf6EBweRKrVzDU42OybAES7O9/jWetpd+34\nr9H/s0GLwTqqcciXLF8p3XsnFWbj/p/fJj2npknUV1jHlmThSYmPFaLPSEuGu68P1oxcjIti0vzg\ny4OAfkVLJOYlDXL2Jh+VbiK/6frvPyH/73/IOYO20nJ07NiA/Ix06X0tyM+F0Zqky8j/VdhF64wR\nSzNDCuZTbThrn9+Eqnc+oDgF/2A/mrauRfZVcynokbWxtD2TzUXk0DLt35gQSzqxeBGqKnKWbShE\n59E25x4u0/bwGAV2E+F4WrJoPh7fFHNG0kuvQNO25zBh8b/R3z5b9TgcKRaEDUbKzs4edgCPZ9tc\n8RTtWhLnVUYQyJaRZfg9IHHh6rHOh2PBMpj3b0SuJJM61giZkOX+ePkjqG8foK+xHU8qQG+i0kvX\nXROTdVJhZzwNRzhHjPyGCPT3eHwah6Tz0E7u/2RzNLvbsPZXMS6usy2tyJ31j+g4WM29b7S/G4hm\nV+mBoSDSBGLlnMnCM2zJLOSUJfQCJSUGLvpvNrgRZbaIsev3zoXz8Mzm7RhNzopkaRRRuMhPtrLi\nJXjN6She/CvaQq8CmbOi32xwKXMMVZn9tc9vwqu79nLcToRUmpgsC6qSSyqfPB5Hag9xXeXna9Zj\n6vRv03km5LWcXNpHO5FSNAmBYa9mjADQ2duH3MXqbjvxeU7kvqvwoXMXfg9b93yA3sEIVsvv4UWo\nSOnS53HTRge2kcKSnwnP0AhSZGSggrA4MbI3PXDfLzBt6mV0POZoB6Yturey8koszpklnbZNno6m\n6gpMiGKa2ECGrCVWvulsawfWPr+J3nfxHomVGtU5RR3cP1RRTBqGh6Td7s6qxzGltASZ/hGY0qxw\nhy0cnx8xUa5Mr6KFgA+5i2/hIASehiMYHRlEAcK0Wa3QEEbG5ElSZ9MeGsJoKBXdkmrS1O+Wo3L7\nuxo4EnBhyhuJ2kXljGkEoXeth9mWg7SJ34zJKZw/jaL8XFTW7KZ1ZCDWznq2tYPLlgARoHnfsXeQ\nkl/C/Z4qFQrImwO+KEv6FzF2Q2FFyAuzHbj26vKES60qSzSDFBge4ha1wduNttefhCUlFYagH/O+\ncRkaen0wzryD4i7Ov/EUHE41SaSKM0omt8ReW26GnWs9d9XtgPvTQzhjNKFs9s0oyEjHjbNn0oNM\n3EhlenyqFnliGbn5nEgvsXgRsgqsbEaYO2CN0U1cBegdq/QSoaEYdjUD0G5y8YDY5DsfWrNJ855w\nOAayF5nGWQc1bE1D19HdMJhMnCMVKeVlRr4ruiaIsoKsrETKOaLZy2ag8/1qzTgALdmw1MlmDgJZ\nSeX8G/IGmP4uF20asDsjqhBsloaNwp9lcKhVNbUYMNtQHD2Q9EDmpLxEMqkG6yjamUOLlEkfvu8X\nymd+7fObUFl7iBO+r9weKZOxDhlxdFx1OzDS7uSAyysrNqCi8nU4ohCGnr4+jRNfvGg5Tp7aFnN4\no+S1bHduSXER+otmcLAK8myEPJ0wG4yaZ8VeNgM50X1I3CvIOkmEZFrmXEybehnFILH8kCyvH4FB\nnNv6HAwIY0KU56/XWQ/Xe9WYLJv0KFZNNPYwF8dDnEWxY59V9Ciwp6L37f9E1g/+Bfkzb4KrbgfO\nvLwSZpMRwWipjzxH+TMXarLIVTs3YNrUy6LNWB+g4MZlmnu0PI4kFnt/SUHfvWuDRmyb3BPD/gim\ns280ovAh634X5cq63LESoszJO799PYoXLpdWD0J1W7A8Wubn6EkYEkvvsA9Fi34Fo6RJp/5MixKO\nJGbZv0y7qJwxFpdAdA79UXJUKk8RDCB5/t3UeVpZsQHmlFSkzYngNWTC2gFPDy5Z/IAGxzHW5gAZ\nxmo0CJQsWpHwd+hZotIqrAg5bSlOsNSqskQySBWVr8OxYBkciEUjluJLYXG3Yk1Ud1KG0bJcMhW9\nH7+LkltikWX3B3+GJSOVc4jilW5FYzdmV90O9P/tEJIz87lD5I23/xM/mj2DdkQR4K9M+oVkVVWM\ny16nXCoKUDuzMFulpbWWnRuw9vlN6O7sRKAvRpZojOKAZNgl8vd4xJesRTIY+5DHiMOzJmYDiLFA\n7OuumYXLBe02vfLQ3Hnf4klRnU8iKTMfhgzeEWRLggTTZiu9As1vVSBr2hx0ffQXTbeiT4KTsZWW\nw1j/l4Qy6PF0K9nOUtLEItOwJPQMpCmBOIqJZOcCMEg7zBIV/Y7XASzuI8dO/g3FAg9f8cLleK16\nNeeMLVk0H/evWoWB0QAm3xVrlPA66+E1p8MxK7Lvep316D6xHRMVYxVhCSx8IBwGzVR0H30XDZW/\nhtWWRR2cc1vXIig8K+drX0J/UgQSIe4V5jicXvHsumtm4Sc3n8LLb63j+CFHus/DnGrnssGehiNc\nRsfTcAT539ViXTt2bMCSKLZK1VXN0jgQjVfSVOMPGzhBd9HZMO3aQJusCh1hTL3tRtQea0S7x0fH\n2vfJexwNBXVurTY8vuZ36BsJwvGNGyl3JcJh2KfPR/ZwQ9xzRFU1GHpTDikiXY6EVFlPlJw0FK19\nfhMt44rnNAtXCYWhoZpiq139nZ04v+UxBFMyuXOh5c1n6HexTnzGJ9UIgCd3J2X4vDTzVwbeBy4y\nZ4xkusgF/3j5I2CPClU3oX3iDLTWVsLn7pKCickmp2p7Fk2vLsxuikuWr8TngbQxf4fMEuVIqqh8\nXalH9kUWSjxlA5asVo90T3bYBTw91BHrOrobSbZsJOUWoycYxMqKl+g1jnX87MbceOoDmFLs3APn\nddZj2JiC12oPIhzwoVCH9mDPgYOR1HSUskFKW3BinzKLqnJmEfBJ12365ddSaZcsZ30E77f5UZgR\nRkv1WpjsuRrsEgD4hKYGYqr1tv9wPZfB6D76Ltd5KlOLEIHYgHZ9qMpD9tAQLcsSUlSLPScGtmeM\nLQl6Go8iMOjGaHcbzMFReN5/EzBY4Pf24+yrTyHkH4Ul1Y78a34oxUk98eAvAcSXQvn0s9PSjKdM\nt5K1aYIDRALFfibAI4B6vSwNGUM4vYD+jay14HCsXM2ap6+X+7/esyJqjnYffQehgHxthk1a0fvR\nYBipRXxAy65fCnbPVnf+qdaiP2zA0kXzuAYmluUciBB7aoD98++G8eCL9P+qjBIJkAnT+4Orf8s5\nOTL8Zvnk8di65wOMBoMwePvQe3wfsqbNxlC7E4EhvpQqnhd6JdIH7vuFZs2IkIbBgnK4fW4UL/41\nR7uUFIxlxKUdfwuWIfvUNpqhJwGwPYrddJRdDb+nG+b8EuleffaVx2FKdWjKmK667UAavyZk5W1V\n4GkySv9MyVpFcmn2t0M9LZi78Hv0frKUKLJubVtpOSYORUTHWR9BrHZ5nfUYadmG/CtjpOmj/V0I\njsirDl2fnUYYBqSkasndOySkxl+mXVTOWMfli3UPOJnz5B/sp4uttbZSCmodaXcC0OI4RhNUkFdZ\nAIYLYnGXWSKYrXjs/cRYcLBIZKiyeNkplqxWL6MoW1DkvhFwuijH8fia342pNVwc93XXzMLkv78B\nyUwZWtyExNS4SCTc09fHUTaILfII+LgyD3vNLLZKdGZvXzAHL+86oJkTNsMllvjuXDgfD67+LYAr\n4ff20aYMozUFSUJTAzHZettz4CCc7T0gV0V+x+usp3I0XeERJJddJ1WLEOcZiK0PUkYQHY+ubU/D\nJpSQTNZkDYktENmUm7c9hxIGc0jwjiydAwDNoS3DYrHjlM3FM5u3I3n6ggsCvbMwgaqaWrT1uJEL\n3mlPBLRPxuA9ups2M9C19u4f5YSwyTxrv95zwaphkDLb6KgcgG4I8t9bVVMLgy1HV2uRzbboNezI\nrL/LpdFgTRrhHU1LupaeJFJm71aqO7D35vFNryM07pv0QGadHBl+88gbT8GQUYTSWyNry1W3A73H\n90YciDDPdSc2g5HSv8r5VjnN5B55ok01rBGSVwLZEc88V90ODDhPoMlkxJXzb+WcI5LN6T2+F3kz\nF8JVtx3hYFDzGykFpRh2NSP7yus0jtrn29Ziz4GDAIDHn/0dukNWlAjl7RxrGMmSgIYo1ch44AD+\nWSHjJNrCQEwWSaREkfGDeRqOoHukF+GAjwuuZJhYc3oG13wUajiMnKvmKoNtbxRyIGJTZaTGX6Zd\nVM4YoGVdZ0sPMseHEKICoESZFnsOGl76FQwmM4wmE0y+AbTWVGDcohX0wQm9/wrm//AG3VSynpEI\n1y7Z3C+ktpwIZquqphYBU5L0fSR6FsHBQEzD8PjJUxyFQfnk8RpKA1V2IAAD7GUz4Ny6BoaQlpCT\njJVEvjLmbJkch6PsanQfewdpAhv3W39+G+81tOuKArNmNFs08kGqVmtZV23rtmc1yghsizwpHbAp\n/9H+LrT6B+khoaJJ2X+4HqIITryS1O0nT6Gydh8m3hqbr/M16/H307+OhgTXbEXl6zDataVOW2k5\nyoYbsLniKeog2Ob9NO73ATHYRWFWhrQ8VFBQQJsq2Ai46+hujsTWYDTC39mMOVddikHJnD338pvK\n+WIPv5xPqnH85KmI86oDTmc3eEANrNdj91/3hyq0DPhRyJSxxQDP0HVOydPHjmGo4xwGnMc5JzjV\nkc3ND3GMM4ZiQWO8DDpplmHls1x1OzigNwCcr6nA0utnc3Pk6uyCz9OtKT/LOJvE6w62N6J0Ygkq\no6UhkRZBZN3PRUQ/lgWks7/FduUZYEAJQ8yp2geIlFyrwsmRdjgyARgQzeLfvAKf79yIkH9EEzw0\nVVcg+8o5VPngQhx7ster9oCM3HwsXTRPo+jhqtuB4XYn14QmOkdk/EBkjQ02faL5fsJdKQuqL1n8\nAOXt6xj0Y9IdfAmweOFytL7yCAolexARARd54Ny7NiDINCe07n4ZIx1OTLprFffdJLjVU8bRw4/J\n5lQkTReb+NjEzESGpNlgkKf5/k91U4oAZZaJV6b5ZTHzmzTZ5FLHTUbx/LspGNV+hZa8jU0lE6V2\n0gEIJBZldx3dDQMMtJRCOKHW/aGKA7zG67BMBLMVgAGhgF83ehbBwcRCE79Jy2Jkno/oUBqI5u7r\nBVIBS3I65RcTgbaDIy5U1YS5yDcv0x7D3Eg6jDwNR1CyOOZweJ316G7tgLPRg8l3Pcm9V68cW5CR\nDr+OfJDZnk0PJNkmhPQcaWaj+bVVsIwvQKurGymp9ZoIa9z8B+ghoaJJIYSNiUi7kPtdf6ZFCpAe\nZMDc8Ro22nvcsJfP1V7TtrWYu2AWfvDjeyi1gqE5phYhExgHoHECAgx2hZSHWl3dYN0/v7cPnYd2\nIjw6iIC3B57+NiQlp6Ao24Hl/36/dNwycmVVBrr5TAOOn2mBY/oCuhY3vvk2nE3N2Lh2Nf2+T840\nIYcha2WdueuumcXhBYmx7P7PbN6Odl8yxkXJP0WgPwnwHn7yYeVzzh4yAU8PJt3BizO31lZqsiwA\nYDkVy1LqZdAB0Hlj1z8BehP8C0YG8E8/XKBxWDt7+yjom3UKBz7/FL1v/ycsl86i3aLsPHqd9Rgc\n7od/1j30WWDXhsUQxogxjOQ5WngFmwUi8+rc8iSsOeNotUPG/SXbB4iUnFI6TLL/iOuKOJvhoJ/D\nkBGqCZjM6Pjr65iyNIaPUmVpVUb2er2qCpvtI3sHS7JN1roh2Y72839DiSSTlj/zJjS7mjTfby+b\nga73q2EW8NW0K7GzA6VL7oWx5T+k47PaMpR7UFVNLQpuXMafDWYbrB1ODG1bDZgtsAb8yCrQBomA\nXAdZDyPGvnbp18o44D+ZY4s9hzpxbBMf+6x1bV9L58DdcBjJ2UXS8f2f6aYEtABlMmF5p7Zhc8Xv\nNOBVy7g8LrIKeHqQnDOetop7nSc0mo1AjLyNPDhEqZ1Na7Ovs0Y3RGc9LMnpyLjsO+g++g7MKeko\nuTnS4dHUcBjFs2OAV5k2Jmvlk8fjCOPhA5FMyNzvf5v+34wwkjIiWCJV9CyCg1XzGo/SAOBBpk2u\nbvij+pdeZz2cW9dQPiwgErV1eXtphotEvoQ4dtqBg1LmZHasLPmiIUNOJNrQ0Igr59+qyYI8tuwe\nPLxhMxyXzqIAXNYCnh5kR9mUZRgEe9kMDHyyHw5GumXk/Glk5I+Df9Y9SBFS12Np/pCVgCdPK8N7\nOoBzvUxpPMwQye54PR7kSDAtwb4ObN3zAc2eko2zqa0T3r5unOno4wIegmMRsYqOBcvQt301nOea\nEEzNQsnie5HC4FYIIS+9vgQbTWTkymxJk50v97Afjm9erym37GPKLYR6QmaElJjFCxIj9zMcjoCC\nfS3/RV8Ty9jlOrQSxNhDRuxipUoSkmtUSWmxRoDzZN7ERo38mTchf2aEoLvw1DaNIwYgktVkMHyU\n68rmQF6yAZ9/uF3atNH1XjVKBWUEFte058BBLFu9UQqvYLNAhFDWkmVD8gXgeokIezyBddbsZTPQ\n++EOjiDU66xHMOBD0NvDESaTCoyKfDg3MyOhEhaBNCTCE8fuHU2mSKdp/6n3Oa6+pq1raFZe1MaV\n8T+mtZ/AlVdfhncOn6J/YzNO5PpYHknWDEG/cg8KwCDNXvV+3IeSW2LrmtDJiHNoThrB/T9folTG\nqYxS9bBG8GOvrX+Kc16BaGfpe9VKSaTYwCNrI5Ey/FdlF50zhgF5dxerqSeCN0VgMTFPwxGkCnQW\n4vcBWi1LsjgeXP1brIHWISMboqfhCDIu+46GvVkGeJVpY7Lfu/9wPRzls3kn64rZOHk2FhUvWTQf\nHzy2Brbv3aWMnkWqBGKy9K3evLDlkNbaSpTc9iglRSSM++w1sk4vMVF3cP3j4HjKAMDf2Uz/Teat\n7d3N0mtw1e3ASMjKHVZsi/4ziJLljrOj35rNZVEJ2FaGQSDXlNn8HnKHG+AfZ4fFEMY5fy6Sf/Av\n9HWWVmEshwQLgh319CElyQpfSgbSBc0+VmrjQvjRWGCwp+EI/EwWldI0/NdLSE6z0eypuHG21lZi\n3JzEWMhddTswErTCnDcJJdG1TznI6nZw4FfyPYlgLlTkylkmHy0Zk2j8wTWbpI5x5vS5eHD1bxGG\nAXmLf0XBzUpSYqFcRcwfNqCnsxNun5t2uhJjy9h64H9RADnt8mu5DJNMSUJGM6DXgECA8ywBdGh0\ncEyqHIQqhnwH64AEAIS3PSu9L8nJciUA8iyweFPZuMU9nW3c8g/0Kz8nWlGWA01Rp0p2r2+XdDim\ntZ/ALYvmYt+ho2g4+CbyZ/0jDbq80caajgN/4vQfVeTD7QLAOx5295Xtteiw+tBVvRr5+fmchjFr\nZH6unH+rlHtwwq0P4q8HX8SuzRs156GtVC1xp+pYJHtveukVCZW3WTMjLMVtsY4YEKGTaX59VUQX\nlHmve2+kUWP+9Cl4NZpJQ8CP2xfMppk3mZH1QOaOpX9yWMMY6I00PqkcYLI2yL6ux534VdlF5YwV\nntoGS36mBl8D6B9CrCAqhocQzowUOGQdXLLvI86VjF9H5jiRg9JgMnEOBDEZ4JU1JTB/lrZE4f+E\nbzJIS0vT3WCXLJqP0xUvaaWFGKcHiC+uzTqo5HpY+RUWaJuo0yvLEM29ZR7dIMnvyMDeAOD57ENM\nWfo09/1siz6LzcnIzQc6XZSigE1fqx7I+3++hLsnYjTPXn+ijRssx5PXWY/RhsMYgYE67iqpjXjd\nrTIjskNsKbXr6G6NKHXWJePRMizntlKRLY56PBpnjJRNyNon4OJIGVv+vCakE6kgVzbv38hSBUUs\n4JOyf0dwRr/mAghAu7kCwCdnmhDWyZx19vbBEYUkjFVyTMR4pTnrNazgIsO/TEkikQYEclCx5cPu\no+/iXNVjsNntSvmstc9vQuWbOzE86oPl0yYNQTaVwRplMiXsjYjDqUXwpiqpH9FY1YdgwKfpvPN3\nNmPuLfM0nyNScqQz9+yWVbCYjZg8LiaPpupwfOC+qBPIBF1kHsXmHxX5MAvw1sPuAhfWPf7tyydj\n9+FPpa+19bjp9wJafVPZb7HEs13RRgqaoY12XNPyttGAJEMISxfNk2ZViS1ZNB9HV/NKBrLA1VZa\nDs8HNRgnUm8ETXh8ze+QkjceuUw5koD7E9kXj588hfNePwqYzw++8jj9XUBeWp524GC0cSo2RvIc\njRxrlXKbLl9yi3IuxmoXlTO2ueI3Gs8eUB9CKvI531A3TdXLNgERYE+IMeNld4iRBcEyhrPAU9Jl\nAySWgXpw9W8BptWdNfZwr6qpRe7ND9HomSWqE7vJ1r0QY0cuynbgHsbpAaIOSc16FC9aTh8GX2cT\n2ixmfP8nv4Sru5dibMSW5OL5d3POSCJOr572HtkgSYqdNGKwuJVQTwuS0+TyFaRFXwZuJgSAQKyx\ngCXzLCkukuKkevr6NNH8WDrniL26ay/twpQ57qyNVXBctAAM8DQcicxbtI3bAAMCQ16kGXwRhvaF\nt6KqphafD0SA3uL6VDU6yNL2RqORfkYEF+tpMxJTAeZlGy4LAGclg6yBEQy1Obmxsoz2MowTEAn8\ngFgJU2+feK7Pg88bjqD01gd1nz2ZEQfZE70f4WAQ1qxx3KEwGo3aZfI17PfEa0CIXA+fFUlrP4GH\nf/JPyjGufX4TNlXvhjWvFFOiGNve43sptoYNUGXwBADoeutZqY4heRbMCEszaiV2i3RcrOpD6a0P\n0jHJOu/ErkqASMnZoyLssYOzMo7KCnECRc1PcW9TkQ8DfDZQht1Nm3PPBXNQNvT6EArJ91lSogXG\n5uiR9y5ZvhKNkgytv7cNXy8piEsEy37fhMrXpU0ZoiWlpimpNyYt1OIi172wETm5eRpMMrsvqiAH\n2d+5hTYD0szvRzuRX1zEYcTXgH+GZJRGLLepKui8ELuonDGxKy0eqF5PsgYYxbmWNvQN9CFz+vdw\nbutzCPmGYEQYhZm8xuOSRfPxr6vWJ5TdYcew7oUqnD4fIccknYZWWxbXZaPnpBDnYdiagUzJYXC+\npgIPPRTb4NgWZlYKou3YX7i2bwDIyc1DRm4+t/mwUWGhIYyp3/82JUO1X34t3AjDVnY1Pm84gpHB\nYZoJEQ+q1t0vw9fZRDtUVZkscpjF6wATwaqEGsHTeBTwdiEzCbCPy8dpJ5/dI0Za9OO2cUYPAAAg\nAElEQVRp6wHgrv/OR5dzvD/sZ1u3PQtz0de4NL2ttByu997CyNsVmHjJJZQc1O8PqNcpAxoWHXfR\nxio4Lpq7rxf+Qa9mcztf+xJyrRaulEaypyK2iL2PepqMBY5UhEaH6WfEUk6iNA96vHoyXi/Z5j30\n8q/gOriNNnyQee766G1d3UKyXuzOeqnzT8rGVTW1aBkepPMgkkTqGdHlZH//zJYnuTl1dbXEla9h\nsWKyBgTVvMVz4F/dtRdJ2cU0U0u68Yikjoi5ZeEJxHJvfoiTCSPNHCSTUD55PNrqYtxiQExyR2Zk\nvET1ge0QJKaHz9TCWOLzNwJqLBcbuNLfH+IpOYix2cAL4bFUGVmr5ta18gaubMeYv5M1cgYSJ4bN\nCrUe28VlheLtSWLDkmz+Qu+/gsJsB5qE4DEcDMKUohW6Fxv7REwyEEtssJADNsAJ9nfBGt2vBwd8\nutAhSuHz2WkNpRHLbYrpP8WXZReVM9Z9eSTl11YX0WNrdY/oguq7+j1S6YyJufl4bX2kTZVoOg4k\nmVF4awzDIjoDJS+/ic8HEjsk2c+xdfeuj97mHhKijfn5trW4hOkYFAW0/VuelEaOhoEebuG7BfLH\nGMHdrxReu/xaWas/sxKBaxejtbaSAlXFTIiYSSortuPO+x4CgJhEiwB+Zw8zGSu/bDNlH4ScsAGW\nYhumTvo71B5rhH/mHUgz6bfoy8DNXmc9Oj9tVHIUAXInDuk5FPRPHXmzFRZbJtJTLNz60m3+YEo4\nsgwjsS8DHBr2++H39FCcD7Hi+XejqzrW/XXdNbNw/OQpVL65E0OjPjRtXUsZ0FmMiXXEzX0P3aBr\nVuO814/0r32D3o+uD/+ieS8AnKt6DFdPv0JJ88Cank4swRHJyv4lP12Ndob9m2TqENLqTLKM+JU1\nu7mxehqPxkqYUUcdiBxUR1atl855vO6qzt4+zWaeP3Mh3ROIkkE8+ZpEMYRjLn+ZrZzTQP5ttmfD\ndbBaQwAr4wEDYjJhrPPDdhmraF9Udt01MdUHmWSX11mP1vq/KZ9rknWlKhCMxW+04bFcZZl2TP3+\nt7nxy1QZxGygjKYjODyAdqsFS5avTMixIUb2tpyr5kqhB/f//GfcdSeqk8xee8nLb3Jav2OVC9TO\nIx/4i/cfAP7p16sRRpjDHxMNW9biKY+Qded3jKPzLsKOvM56OD/aCUM4hHG36eObxX2HNZbb9H9t\nZoyYyAkjA9UDQGPjGVgHwposAJHOAEAjW1bLj/wGaQevqqlFe4cL9unXj4kzbM+Bg6g/04LCdCta\nqh6BwZxCX+OyVzWr0bXtaa4DkD0MWBZ0Fmg9ftw47re63UPwMuNTKRLIANiq1DjLeaOXCZk6ZQLN\nJLHGRiUEPG8xhHHnvbH3Jqp7Sb6PKwkzjhzbom82GZBmNWHp9bMphkE8sFTOqkg5IhufvWwGuj/8\nMwDAYstA8fwYALWFAerGI+u9fcEcVEa7ZGUZxkT14BKxjLx8WHq1zNIAkJ+fT/9NGK6Ll0QyWV6G\nPiYv004xJpyuW9S8znp0DYyg9M7IAUfuR1BCLGorLcfox3+hjitr4pzH2/hZnKbMWPZvkqlLLZxE\nx8Fms0z7N2LJ8pX422eNyJPQXZAS5pLlK+mh9g/TyrD39VUwZ46jgV96wIOHVvxMOh5iLO8aOy+G\nU++g8FQEqyPK13Cfj+KQLgRDmJAFfFymloDT/Z5uWDPzpaoJMpNhTYkRfU29JgeZkWuWCXi7Gw6j\n+LbHpGuFdQiJCoRoLExEdF4SHacKf0bGfrriJVotsdhzEBh00zJ+o9BhL+N8lOGU2cABAJIGOvAb\nhicvkSygymETtX7FRrR4jW2sJRIU7DlwEGFAA/YvmHULxQl2H30notEbCsUUJXzDMJqtMFqTYXBE\nKg9k3YWjxO/OrWsQGh2mWV22kU4GE1EF7bIzRRbwfhl2UTpjAGh5R1aWWFmxAYNeN0wZ+ZrNS5TO\nANTOQIeriy5ewiHFlipkouQioJaC3GsroWWxiYx/0JSKAqYDhuAdyI1m+WxULOhVNbVwLFjGCZvK\nKBr0UuOyh5DlvBE/Sw6onE+qpeLYrOk9fBfSGUiMkFgSIy36OZ9Uaw558cASDzdRYw/Qyo+wFhwe\nkB6QhTcuo8TERFBchfchjuJr1asRNllg8PbTMqel2IY7F976pXXomBGGJT1TE4lb7Dkw9rfi+rvu\nhSMzK9KRx2RryAbfcWwXMjMctNS6ZNF8rKzYgAGzjV6Xv6uZ038l98NVtwPN1c/x7es6nVfimpDd\nKyKOfDlT6lI5A4T9m2ACuz78i1R2xdv0CXLHTUDg8sVISdXi4Ny71mMo7MOK515CoUBcaXNkIYvB\nAA3u5fcZQHvQGcNB6oyxa8Qy6sOdC+dHlAYQwSnJnl1ySPjDBlhHPJxmpl52KdEMye0L5mBT9W4O\nC0nA6TJFExXFSCKULGM1Mt5l/76GG0O8pijWIZStFyJ7M+/HP0f7gA9pl19L78uRVeux9OQpPHDf\nL+KSALOvseUyduzLn3gOtrJ5HOBf7LBvTIDzkd3bOF67e3kB+kRUXFQOm0zyjBsvM+eJZMjiWVVN\nLazZPOEJ6Xof6jiHzroaJOUUo3j+Azi7ZRVVlCie/wB9lpwd7bj+rnsRYkTS3Q2HYTJbkZwR4zKT\ndYsSkwXtsjkh70vKlpG0fHG7eJ0xgfeDGDlQjTkZ0CqrRcyeGeuM0msH7+ztQ+7iGF8LIag0GcLI\ntyUhdMlEJM+5h7tBhMVeTH+zosfseDvfq8YkgYOHPCAsRkFc7Cp+ITaCl4GkVYdVf5dL+hDOnz4F\nbXVb6CYssy9KdJdIVC/b+ABoyD/1xiSmx7sZqRUZ+zIgJ54koM38f7gN3Yff1vwOi1/wna/UbXMH\nIgSul36tTLmhxwMWs6YnMLxk0XwcX1WBno/dlCWcME+7Gw7DH3VC/UK2QJWVmj99CswpqVymteXN\nZ6RrLH/mTRjcvhrdxOkM+rmspTj+xsZG9H62lhL+yvjmWIUEUurad+goWnZuEByl9chxpHHAXvgG\nOXkYgjlqra2kDpUMB2dOSUOf364hGh0w27i/eZ318PhN1FlUEeO6d22Aee+LCE38pvRA03v+2EPi\nnLMeHp8b6O3GBEBX3mwsOClyf17e+mecq3oMRrOFPluqRpo508qkqgnAFwu8ZHbdNbNw1RW1aEwt\nkwahbLakyQDuYCbXoJK9OV9bCfvl35GWhgFopJNEEuB483vdNbNQXr4bJ4Rucxn1QzzORwItkNE9\nEEtUxSVRXC3pQE+UEWCs5dEADMpmCZEvNBT0IdU2jv6fvWd+xHjLKLXL4f/SNJkRE9eEjC6EXN+d\nC+dTtobBoWFMXPKkmqvsC9pF6YzJeD+I6ZG3sZpVS5avRPnk8ag91qhsByclBJHnx9NwBG2uc5h0\nw0Ma+ZuXOzox7ub7NelvVvSYkzjR4eBRYRRkfDOyTc5eNoOTiwKA9IBH2tlkMFuU5YMIm3ItkGZR\n4tsSNb2Hkk3ps92L/Z0uuMMWKdGoSP4J6JeO2QwdKbPJ2JdZE4knWdBm74n9mqxXYNhLH169Nnci\nK5LIhp4IMbBMYLitbgcajp/AofrPkGQIIdlqRsEtK9Bcs4GOMZ40lMpJlcrH2POUzRrrHtTn4eHG\nn+JGVtnVFI8XYnBBYkcowYKePNuAt199MYoDjfAI+UdHgNQMOKKEtATYO/eb5fjr9vUwJNs58Lde\n9teMMAKXL4ZbUsaI5yzqEeOa929E+7FdlN6EXUv7Dh3Fwz9fIn3+WAJK8fARy3Ksg+7zB3QxMaI9\ncN8vOKeZPDcils7qacOzTNNLVU0tJZslY/kqyqmR79wOTLkKnoYjCEUDdULdQrIlANDrrIfrwJ8w\n+buRz4oOd5jRmBWhGcQKblwmX/sMCXAiGFggsm+L3eZj5XwEYtACGd2D6AjLiFSJxXPY2P2TNFSN\nhZOSWCKZMzPC0szr2ap/hzEpBUlZEYYBT8MRpBVNpp+TOU+Ob9zIdUt6Go4ou/8pnnXrcwj0d8CU\nJm9+oJWzKFsDKW/K9r8vwy4qZyznk2o+0np+Ezb96c/ce8jCsJfN4Hh/ZBvkB688jgl3PqFsBycl\nAtmm1/buZjkhZjQ6FrMDojwKENmEklJzdHnTEgXcyja5tPYTuGXutzhgJMGwiFgGGXMxoGV0ZxUO\nxK6oeNGO+FCqHAzxfSrJk/bta5EzK5LdIFIuIb8P6RhNKKNUPnk8ju/cgKDVpsu+LBJPsqDN5PwJ\n6Pl4L7KvnEM3uABDRKnX5t7W40be4ns11yVu6IkSA4sCwyydBNmA+7rPw+Ksj+AsoiYCoNnynZ6T\nKpOPkSkViIS1KhPH73XWUzwe2zDCA2Qjdr72JXRYY80QviQ78hbfq1w7g6e2Yen8b+PFt97hXhMd\nUXJPu9ytKCgo0LxH9jlVpkBGjAtEnP2wJRn9kgxqU00FANCsBPv8kcyu7PdIs0PeH16hpTbqoCdA\nnaJn8UpieocvwPM+FmU7vjAekmSFiOZhpCReAXOag+pvArHnKP+aH2rK0+G+Vvx44fdw7Mx5+mzL\noBnUJGsf0J9D2Wvlk8ej7uO3kfudGA6KpT4i4yAmrslEsalADFbgNafzWfq3nuUhCgrSYGJsQG0d\n8QDdciJ2GU5wLNgy6mQL0KD07HwErDY6L6wz6xX2NmK20nLYm95HQfQsNCeNwH3uQzjKvkkb6dhG\nJSAipWgd/3Xue9jxj7S1opTRqyRjYB18TP+J9NouxC4qZ4zFAO05cBA179cjd9Y/cl4oy8hsgAFD\nbWfR+MdHgXCIttaT1HXYFHugVO3grOcv1pX1CDFF71jFdEx+g9ScPQ1HgIFuWPIzObbmeCbLLulh\nRmQdgzJT8YBNn1yMWs8w1xUVL9oRH0qZg3H85Cm8umsvF3WqNsRQwE/BxITNPSKt8S46BGFxcVwk\nkky7/Fp0H47I2CTaxchmIUlHpeiUsxYOytztiHi5zDpcXejyDFIet3hlAHJvCD6NYjnOHMPkJU9w\ntAgj3efhaTgCqyOGlxAB0BQjFtXYiycRIn7WWP8XDB3bBStpSInqvKpMNX5Vw4jf3a3bESojJGaN\nxVmlWvnXRUeUHNh+xzicPtOAyd/VChMTDj5C5aK3XtkxsIeq3x9AeACa+1y8aIWmHCVmdmVEvKSs\nfL62EuNu/GfaDd1aW4mRHl6fj1iipcJ4e43KMaCZYIb3caRuC74Mqz/TQjUP/Z5uZF05B92H/4tm\nTwB+PYnlaSCSSWLxoXrQDD0i27BiGsX5pXvQpOnoPb4XyQWl6D2+VyMwbrZno2nrWmRfNVeJzUqk\nBHndNbMizUmzeFjPaGo2hSgkp/LC2kCkzG9xpOHHyx+RVinSdm3Q5ZEjYxN5CT0NQSxbvRETKl+X\nltXZyhBp/OpOnkgpbEiyhfCFdh3dDVfddqTkyIArQEF+Ltd8wTeV2TB10niauCDVj7Z3N1N4Ecsm\nAEBK9ivq0f6v76YEgCc3vIi0H8QeJCrWOuCmHSqs7l3Lm88A4PUNWVNFHAAo667obIl4IVmqk8Wb\n5DjSYI926YmAznUvRPi8SHuuWGpIxMbats46WP2dncoHShbpHnnjKaVWn2oM7Iahiuar3tmPkIMH\nQOqBsps+2smNQyatIRsXS5LpaTgCQJ99WTVXslKGeFgTlnCRmb0w26HJinqd9Rgc8CHIML7Ha7og\n98Z3vpLOl9dZD4PJTOeEbCR5Mxei+/DbyLn6B3RMbLcuMffpw0hLj/D5mO3ZaK6u4JQnVPIx7l3r\nYbblIJdZR6RcQuZdxP2pxj/Sw+vokQ2u5XV5swjpCGXXWTwwrnj4kKDJ++F2OL7JU0m46nag6c01\nmPCPDwKIlDGMhjCyps+FB5GW9rN/fAQWs3zbJE0ErAoCsXNVjwHuTunnVNkWllyaNTaTT/BTbDZR\nRtA71lKh3l6jcgz0MsFftNGANPKwz2Lvif3K8p+Km4zFhxJMIXGEyPkQ6mnBP0wrQ4MOdUUipViy\nB+WDUDZsw5QoFx4QO9OM4VBU9UAtIaY6qEUH0JGZxVVAxL2LXPO5zY8g3ZGBUU8/UnMKqci7LNNM\nSu25cXCCiZbVWSPrjKyDth43csFgv46+C7+3B35vL3KvmofOQzsTVnPQW8Ok+sHCi8T5l5H9AjFR\ncoshDEz/X8rAT2zPgYNo7/NiYvT/rKbghFvuR3PNBm0mwR6JxViWc5XHC/CLg7Duis5W74n93G/I\nsmFp7Scw/5pZFOwpyyLJ6DXEbrGxgLcTAUmKOoUGU1qkO/TtChRfcgn3QMl4wEKpcnkYvTQ9m1HS\nEysXMzF68kTPCdw3iRIpsgeGLKKJV3YJ7NoA68EXYXZ3I+Ao4r6bPrzbIpma0lt/JWVmX7FUK3jr\njjqX7IGpRxfAZiHYrI6rbju9QtFh7D2xn3M8gyODyL7yOk237sixXVymgRwOfnc3iscVov5Mi4aA\n2ecPYNwCLdiYxcexDPkG/wiKovglMn6LPQc9H+8FwiHpdQckvFIAkJcZdR6ZdSauHRnezJI3kdtA\nH1rxM1TWRIDVLLDb7+lG9ox5dJ6Cg73I+fsfchk0qz0bnjMfo6X6OYy/he8ovP/nS3D85Cls+tOb\nXHkDAKx5ExAY9irvs8zIs/34mt+heRvf7ECDTkcugEjnL8kmsvc+0HMe37ri63F5vYDE9xcVNsko\nv52aZ5PFuLUP+DjMqyrLTRp52A4/IuatUgWRmUaY3BFGWtYleO+T/RyPVUMC3GjxqhSi02pOTqX/\nZs80WmY9+7Fy/pYumpeQAyhii1VSYROj65NtaBHnjb2/Zrebk4tjjQQNsow3MT2nXBZwsnMERKTQ\ncocbMJxkGpOaA6sLTGilHrjvF3SeuMA6Ov/sXIlBKhEsJ7917NgxzW9eqF2UzlhVTS1CTOqTLAgS\nBcqIB+1lM9C+cwMMKZHXVB6vXk173QtVXKdW1hXXwrnlSSTlFFMAf9DdidY3ViEpOYXiIRKp57MP\npgoADKizZGMFSYo6heR3296vRprdgdyMGMuxjPPJ59Fy+7DNEbKNmsWa6ImVJ1riJU4sy32j1y3K\n8kK5+/roazLONLaB4NPPTiN5+gJOssb+d9cie7gBy5fehn+VEH7aSstRNtwQwfZAzcwu4mdKiosQ\nFMbkH+znDlsgttESLjr2OjyNR2FCGKml09BUXQFLmoPbRLOuuJZzPmkHmcCAfcuCOXhhazUm3Bnr\n9mXFodkuRkLArMIjkayISLRItCHZ8ZPnsal6nQbbM+Rqhs0ErruVnQ9Ai2kCYoTE6GmGu0HLPZhq\njBxUBHDu7uuDgYExyEqmbe9u5rKOJOoPBQNStn4g0oGXXDRFC6K2ZyPQ1zpmbUsASMkbj6yCcvp7\nQ60NCAeDXBbMYufRamQ9mt6rlPJmiY4XaXbS219YJ0om8tz86pOQmYhHIvtYa7TEypoqy00aeYhi\nhIeRp+o++i7OvvoUQv5RNG9dg5JbH9QNcMSMyZLlKzmHkIyD5UaTdT7H4yNjHSMROkCMfW719raq\nmlpdGSB6LQK2WBQ1FzNfKjm0sdBZ6FWYWFMF8rKAUxaYxwLnxNQcWF1gYpXb13PzRNReWne/jJEO\np+a6vc56OKsex5TSEuWcf1l2UTpjARhgtKZodNBIRkW2aG2l5chsfg/tUbyEyuPVW2DkZpOIx9zl\ngj8rG1nzl8JVtwNGTy8m/uxZ+lmCh9DjMSMOAgucvJBW4Z6+Pk2nlh5jOdEp5Fq6Gw6j9M4nNCBx\nGecTKyMjHrAq55HFmhiso2gXOj1DPS30XgFqfT3WxM1FJq3B6hbG/hahFCBlWarTF8U2sY7t4Ol1\nGFUAxq+7ZhaWnjxFVRbotQjizKJRKhEBP5MUHKaZPk3kJ4nCxe8nn+na9jRyo/xe7k8/gIHBp0md\nzygDNisxtq/uKAyWJPo5VRfjq7t2UYyf6sAwmi0R2hlGPkfm1NtKy+nzaEnLgNmercH2dOzckJAk\nmkza6sr5tyJXIKoMDLrREzTDxqyPjjdWYdgXoP+XHSAE4M0+RzKnDYiIvNefaYFx5h0Y3boWIcl6\nykkxw5E0yjnnMuFu1thyOyuB1vNhrLHJ7+1DYKBP+nmSTSS258BBrPtDFZr6R1B8cwyX9+GrT6Lk\ndnUHpiYYlFQnsr69EM0MMe5ofxcMI16YJpbQAK6i8nW6j40ly82WrZrfWg+LLROANggy7Ps9Ck4p\n9h9FqVYMlIkT3eluw54DB6PNAx9QzFr30Xfw/tH/QGrq87ikIFtJM8LuXTLqI6+zHoMtp+n7VVhF\nqy1TVwaINfHZMCeN4Oyh7fTe6mnRsmMwwDDmM4rAGuJJAIrZV1HqC4jsXdbhHpRPmcA5QGPBTv+x\nZjeKha7i4oXL8Vr1aopx5dRerlmAF6u3c88BWV95F0BaPFa7KJ0xM8LIuWouOg5uRfGtD9K/s2UO\nGcbl/p9HvOPHN70IW/QQbt39MobbnQASc4JEAC0RJtYTEZdNIsEGhWdHHiIWu3IhrcKt254Fi7RK\nhLGc/R29a5eR/bHtv8EhDybfFcue6JVYZZ2Z5EDNSEvm2o9lxIWiyQ5eUVqD6BayxuIcxANddGzZ\nEg8xFjD+wH2/wLSplyk3AFn5QEUlInKakffHKwGI7ycbX/7MOyjpqihrRJxPvlU9Jt3UWlsJc0YM\nAK3qYjSG5CVfdjxEZ07kU5JpQ45En0c9WpCTpyIcP3pSU7L5EulqZNkAr7MegYwipNtz0PxWBUpu\nXiE9QMz2bHgbjyK1aBL9m6qM0+luQ2FBBNNmNFu0QP35d8N68EXs2rwRYzFZoGcrLYfngxoNJU88\nnBi5/y1uP0pu5te7JU9fl1fM/qtkkUxJaTFuqIbDKL71AXrvVlZsgGdoGOOj701Uo5VlnyeZ3s66\nHdLPsiBuNrCWHdrEMSBKDLJgfWXFBvS73Si5/TGeSiP6nPkROW8Adcbole3b0Olug630LgAxrJjB\nYEDBP/xI04XvfPnXsGbkonjRCmW3sB4OT3w2vv+TX9IAUI8FgMxx6G/7MDQshwronVF6XICh91/B\n1KvKpNUdkXSb3OdChQOUCHZ6z4GDGA0bpa+FTRbp9+w5cBCG7Xs07ycNQXqSel+GXZTOGGl5Tcos\n1Lw27PocAU8vh+1gW+v3HDiIwPAQfQ0A0pOtGNz7IleWYE2VPiUbYe+J/bAyZQC2pnzW04P8nEwM\nOPkozC0Az1nwn5nZa2SNBSqtRNbiOZaint5Y2L0J2R/hazFk5ND3dx99B0aTGSU3RzJTeiXWmLOy\nnZLrhp289A67Qarq+wBoB1M4DEybehnXvSfTDwMi+JA7F87THOiiYyuWeIixEkKqDUAVqamoRETM\nSqJdsbL3c8LvjjCmTp+li3ER15UYrauc0nObteuYk8mKHvjLVm9EmFmnrFPP4jtybckIRYWjVbQg\npJw4WFDOl4/LZuCV7bXK+SKSLuzzoeIqBECxfqKGrNdZD7/rHGxTroK3MYYL0SvjNEeJJ1WOCktG\nnajJ5Fg8DUfgGxnkxNFV90V2/0N/+g/N78RzjAICbETWselpOEKzbTKy7u5+N5KZTjh72Qy0/Pn3\nGH9DrFQplm33HDiI7s5OtDOHO3EY9Dr8AP1Dm3UmiBKDLBs0YLbBkpdBr4ml0iCWNucepXNExsBq\nGItYMYCvEnxt8kQaXH4ZYuOszFEiEJGHVvxMAw8hlojsFeECFPcs1WdUAWq8hhNZqZ1ISn362WmE\nQnIQoyHol2boqmpqYcrgfQ6xIQj4ctQHZHZROmNiDRqITUpqfgmNvMgJbcgoQk3tPo4ZX6RxM+/f\niKE+rXwQoAbQmhGmvCYhv5sbB8GRkMNLdDJMUWwQa7bSckwcaqRgTFnX1TObt8ASipEaUryctxfn\n31pHN7t4D6lYXhO5bKhTxSyyUN0WLF80D8A8Lr3O4g6stqwxRWqyB9CQUQRXdy+HWxPr+15nPTa+\nWY3X/vwuAkk2XZCvHuu3+PteZz1GRvioT2SBJiaWeFQm2/T1qETG2hWr5wiO5XvELIuWqFi+pnKz\nMrjNUsy6kY0NvmEp0aJYSiqMZr1e2b4NnT639DcthjA6XF0R7iwF35hsQxXBxOQ6WWNfY8dGSlwi\n8S8AmkHTK+MQ4smw1Ub/ptfFnYjJ5FgcZVfDjTBMvlHuvfHky8j9D0loGyIyR1rc4tSryrBk+Uqc\nqD8Fe+oU3Y5NDMTCDxlJbkp+iaZU5x8Z4Bz1dH9M45Q6TLPvRXrUaSZarr9R8CkmOrfsvsCytovG\nclyJYHg2QMjRcY5Ymh2qItBznr4u0i4B4LjQZDYWRQM9jKXBP6JkAdA0HzEUGJ+daaLUPKzJyGOJ\nsfhX1sYaoAJyTktWUsrfvhnpRRloqq7ABKaC1rTtOVx3+SQpH6bRbIF9+veV0lsyvHmWLU05xrHa\nRemMAXyXo3HmHVyXpAxk1/3xu0i7fLFSGDYjNx+zv30VFW0mdr5mPeZ+/9sA5J72ke07Yc0owkif\ni9uEW6PElcTE2jIrskycHyLZ4e7rxfyry/Hqrl3chg9EHJuObU8jJOC0AKD59VU0giHZK/L9sg2f\nLa8RDEXa5dfGdapYCYjRoWHkfHcxLSeR+U90M0q0ceHVXXs5R8zdcBiTlzzBdxspmi+WLJqPxzfx\nUTKJsNkNgHyvyPPD4tAulAtOtnbaLiDaG4uNVYLE3dfL/V/sMm2u2cC9TubCOBJAhkIXkd0U7all\nnHyOjGiRzAGL0VR1iT24+rea54OUj1UNLQ/ftRAP37WQC+TEbIDqgGNLXGxpJ3/mTTSDZh3uwQRH\nKlq6PdLv8Pd3AejC59ueQ+b0731hTT+u1PVpI4oX/4ruPXokxno6tEZripTqJMfsRyGTWU3LTqJY\nKd+nTVxJWZaJs+RnUioXNoNIFB5aayu5z410n8ek2/nGqsGkDPpsiw4T+Wz2KZK8+QwAACAASURB\nVB5WAoxdWkwMTEgVQDSyv5G93+ft5fCAXmc9XHXbMWC1KBubWNwfEDngQ5LyM6DlMQsGAmja9hwm\nLGY1X2NnViKmwlgCMeysKuvDEoAHjRZKgTEa7XrUNKokycubgH7QPNbAUgyyRUmpcDBI4RsNL/0K\nBpM5wvs47MF/fzxIO7xZPkxxfbLSWyq8+bP33Z7wmOPZReuMAfyC6IqyUcvIWFnuKb1Iov5MCxzl\ns/kW/ytm4+TZBmUNPDvTgcCUGRg68Cc4yq6n0VO8zBSJRgYLyjWSHX4ANXtfpPgW0ZJNBriihJ5A\nbMFbci5Bq6sVy5feBpK9UmXXyPyJGC5ywKmU61uOHsexs60ovHEZ8qJ/c9fvo2Xa0f4uhJhWf4PJ\nBFfddhjT5QSnYkeRqrTKCsOz8jyJiNUC4ErTbISt9/tsaWDp9bOxb/+FccHJ1s7pXRtgCY9iQIeJ\n/EL03IitfX4TPSjF+VB9h7u/D71CiaLryG60vfYEyssvx3lvp1LRIoBY5pT9fhaQzXZ7Jg33YMal\nEziiRVnEq1eGLRBoTYjl5+fH1di7nckKi9mAjBEXJXAlxjrKLJUCMRHHcv1d93IccmS+xi95iv7f\n9d9/wuSf8JiXeHgfmZFnmJTjVV3J5DpU2Byig5lz1Vx0Hd3NPS+2oBdPMHJWew4cxL+uWk+hFkkZ\nuQgMD3LjEjNxrGNtL5tBG7CIwoPo/JM9SPVskwoBO8eehiPoGunFD358DwwWCxyZWUo5NTJ3MhMD\nEzI+cV2kBzwwRpncu4++i8BAH+W3pEFjdK9SQTZUpKh6GD+yt/v6O5A/c6H0zBqLyZwdGaURuz7Z\nz1x/173I+sE99Dp83l6c3fIkknLG8U793heVAeyXKZUlOtPieczSAPk93dyeBlPM7WHPBJmKTtMr\nj2veRyxyHf8HSF+JkQVBMk0yMlY9ZnyApwkQSyYA4P+kUbm5D2x7Grml5ej88C8cr0+89DFZjMuf\neA5JWeOlOIOObU8jV/IdI8EwUgtLAag3KjYDIMuuiezt5MAnDqCKLNOYV4pCZqw0hX/wzch3my1S\n3rbWmgrpQyh2FIm/STZXr7sfyc569J96n5PnIePUSxcX5efCsWCZpjQtNieoylM5n1Tjgft+gfoz\nKzkuOHEuVSYrhUYkSZaBMAt17dqAf1+3EQ+s/h2MZgtSTSGEUzMTOkBkWbcXq3frdr+JtufAQfSN\nAo7LrubxWzPmYeJQI15b/xR+vPwRnEudoslaqL5/z4GDaHL1cfi7eKUy1TXJHFEW68KawT+CT870\nKssksrIQSz9R9Y4Xdh05J5ZKgV3jRBN1z4GD6HYPwasoZ5B50OONInOw7g9VaOt1w2i2oDDboSsA\nTgILmSyLKPOmwvMQHVp7djq6+jpiWrgLb9Xiy7LH0//7B/phTrFBZuKeRzrUvP4h2MrmoTPKci+O\nd7StUTp3pEHI19mEid+N/Y11ZJoaDqN49t1KotJ4z23Y75dmBzMNI1x2MCYvV4uJX5+Ak3+LOYiq\nA3rdCxu5tU1odsROXCLzZjYZkGoxaYS/H1z9W6TmlyjPrC9qibD6E2vvcSMHvI6zjO8zHn4OiF9a\nTmRvELNsSoLWg29i4l1PaTK0xMQzAYh1chY6UpGWlhZpYjJ99a7SF/qFnTt34vDhwwCA6dOnY9Ei\nrYcbCoWwYcMGhMNh3H///ZrXEzWWF0QkY9VjxmeBrHo4HhUgMi8rE8G6LUjOzI84gtHW6qxps5VR\nKaGz6O90IWhOgkmRRSPfLUYKBQUF+Hwgck16ivKbK36Dr+toTsoyNkTdXkaWScrAotlKI7pfwbot\nsKRnSDehcYKsCzGxo4iY6GSG6nag469vYMrSp9FaW6kh3rPYs6SfA4AmAZDPzoHq91kTQcqy79Ez\n8XOyw6Vn2AerLRvFN8RoWsbNiX+AyO7hB688DmtB6ZjGWlH5OpCeI93YLaciUbYZYfp6IvqGVTW1\nQHqOtGxdqCiViaVNYisrNkSkXKLYFRb/pVEASEnDKKNgIJbpKyp7YZx1D0cHAQD79m9Ek6uXZntE\nagpiLJUC67gW26w0MHQsWAajs15TzmAtXov/yoqXIk57VPxZrzMPiO2B8UiMVdgcUYdWzwIwcKVG\nkWCVmAi4Z8vPy05oYQHseOf/8AbU1m2R4svE7JGKXgRIXGibXYthazIcE2ZoiJBLhhqlQQSZMxZ+\nomqKGvD6uaDOvWsDfG89C58/zL2PlXkDeOHv666Zha/X7MaJ82pMJWsXkmXXKxuKRqS+2LknjSri\n82+wjmo+T0ys1JDScn+nCwaLBQF/ICEi4EQoj9LaTyBjUinVhGUztM6ta5Bky9Y0orAZ8HAYCFx7\nr2737pdpF+yMffrppzh37hxWrVoFAPj973+PkydPYurUqdz7qqur8a1vfQuHDh36QgNlD1WDw8px\nyIg3QtbWD+inSVWOWkF+Lu5cOD9CCPvJfky8NSJq7Gk8Cn9nM9pefxLjxxcjL9OOqVeVccSJrbWV\nMNqTdTEqBMgsdp30F5XBuXUNDCH5Z8lGMxbwOsCr2wOgoFhjlA093lgfXP1b+B0y1yfmAMo2BREf\nJG6o+TNvwsC5+sg12bPR8/FeCrz0OuvR8dc3AMijUbHTlJ0DANLfJ8amyceyObHXKYrvyrr3xC4s\nFRhY3MjIPWTfFzSYxgTsJRksc9HXNJQwrIxIPNJe8fsDMGjuFQA0b3sOaZePV5IUqzKJjqh+Hnkv\nyf6yzwehMQlFD2pZllbmnHud9ej6vA3JRVOk18Ue3CKVgqtuBwacJ9BkMuLv/v4HgDUVxZfz2VUZ\nfsteNoN71gB+vxkw21AsUG54/CalKkdsD6xFh9WHrurVscyWRJ5GtLGAvs0Ic1gpkWDVaLYgKTiC\n9Y//mzSz8czm7RgJmzBJAgsYbTuD3z/1/2hHMIvvU+mVBvpigZT4fLF6xbLrVQal31UHJiqL94wQ\nlRHWjH93LXzH98DqyODeF49mib0HsgwtsbESgsuuhZiqbFiU5UCTkCESCWWJte/cwFVJWLJgQjFk\n8I3Q0rLXWQ+3rx/Fs+9OmAhYhoMTKY/Ic/Z5dK7ZZ9SSnE4bAfUqaUBsHcreh+kC68EXsAt2xj7+\n+GPMmTOH/n/OnDk4dOgQ54x99NFHcDgcmDx58hd2xoDYDYg4Tl2Ujbgs0y69EXpZmkT5okSwMUsS\nd+d9D/HOnlCDJ9QBRPBUFlGqItVnNm9Hr9katzSg90CRxcQ2EBjNVmCwD9aDL2JiZlbkOhbeSluZ\n2Vo7/QzC6DGHUdHbh7ysTJxtdUrHRIlOBUkcUSiWxQDKLODp4Q538jB0MAoLrBH1BZHXRtxU4t3/\nRDcncfMT9Q9V3XusQzXsapZn+V5fhevvupdmiLr6PZr3nX11lZQgcrSnDZZL8jXl4qqaWvjCRoQZ\n2SOD0YhhVzMK0mMyIlzAkwBpphlhzb0CgJLF/4ZD257mxOCB2KYaL5PIvndzxW+4a/n+T34JQMvm\nz5ngnJP5Sy6akpCTyeI9Ow5Ww5Jmx6Q7HqPfY5BkUO1lM9D61jqMY/i7DM4PsWTut6TktV39HmVG\nCNAnVo6X8fgysDmRppjXI1ipKE5WzKqSzj9W+YJQBBhn3gFLN6++QD5req+SW3Nso5boaJHPEekx\ngH++SNZOVHLwdzZj7i3zAMg7usWgNNE5iveMsB2lxDwNRzDu5vu5gz+RbB6heIJE7YGFoBAGAXZO\nEpHa09sPRQcqJcmK4EAPRpnHx142A673azD5zse57y24cZmGLHiwoDzSGb341+gXcMF6NDSyeWHH\nn0iW9+jqjXS8JLggdCqJVtL0KH2+LLtgZ8zr9cJmizkKdrsdbncspdrW1oYTJ07gnnvuQWenXCA3\nUVNpmcVjI5aZ6gZed80sHD95CpVVK+GDCUazBQUZ6Ql9lpgedUAiESX7OwCw4je/QzojbUNMFEUV\nJXcIULyqppYnKpwf62rr2/siB8Y+fvIUjkc3lqGOc+isq0FSTjGK5z9ADwr/rMhvpgkEowBPdCoe\nLCIQnsUAska6vGT1eVIq7ezV8hsNdZzDgKsF56oegyF63x5bdo/yPseb93iYBnFzpw/qK4/AkpIG\njI5wQOBwMCjtwuo4WI0pApmuKbMIfiZDdP6Np2AY4J0VozWFdi2e2/ocjCYT5X2TNR0EYKBEpCwl\nTHJOMYx+/vAQywh6c7Fk0Xy60WnMrOb0U+nnyd5LjOCrGlpdmBTFEalwWRHh8+doU4+HiYxVmYa5\n877FORVlWVa898l+GE0m2slGvsdVt0NLOv23fbAioGkimTb1MkybepmG6+78G0/BkBHTPL0QPT9V\nWSrRdRzPAsNDGGg8isDIoPR1NvgixgLvw0G/9HMiZUw8KIHXWQ/f0AANuNh7SGSRXHU7NEoOpOyn\nIs61N71PqUzGMkd6zwjbUUqMrG+xk1RmbFDAZkL94+yRMd67XFPqZxkExL23MUrbUPLym8jNsHNc\nXCpZJ5kDBUTom7oOvIHzNRUoXrQCQx3nFMCO2LNLGnw80Q5gluZEnB/gy6HyYO26a2ZhQuXr8ENN\nYaLCuYpBjazidlFoU9psNng8sfZuj8cDuz32kJ08eRJdXV1Ys2YNfD4fWlpasGXLFtxxx9jSeiot\nMxXNgezzidTS9xw4iK17PgDySlHKbIoEwwFgzKBCltSQLISBPS/GlUAhFgyJPFC8KCrLw5MSnY9z\nru4IPgiRxfSvq9YjKaNIl6hQBDyPdJ9Hck6s6UBWUvQ66znxZZboNJGDRRa9Z6WY4RvqgWdIjjko\nyM/Fg/90J/c5V90ODLedwZR71tL3nd++HsdPnhrz4QMkFm2psGVGRy7yooGCl+GdK0kaQYPLTVm7\ngciD3XPsXe7zsnlzfONGTvoGAO2G8zQeRcg3hIlxgPZmhGFJz0iopCCbCxbbURWNtAFQbjH5JGm5\nrIDIphph1uf181TvBWJ7QLsvGXnfuSUuTcWIqwlZV35Pg+eyl83gqDdIpuEfppVpdBnPv/EUin/0\nCM4xBKlEoNsvZBhH2p0oysmA4+aHNGN5ZXsEeyLLzPR+uCMCRYABodEhzWcBeUYgkbJUolkDlVXV\n1FJc3KinW5rZz0ySq0x0bHsayUzGSg9jRkwFJfA6o7qqS35D6UXg7UJ2EjD852fh90b2ioCnh3PE\nyFhUCikAT2VyoSbOsxQKEZWBA3gVgUQyc6r7yAaE7DMgk8Ar/tEjCCLimLFcXIA8+0q+26OgbzLv\n3wjs34iB8y4k58qVGwgukjT4iCLibMmQHb9eA96F2oqlt3E8ayLmnB0za19WUJOoXbAzNn36dOze\nvZuWJfft24fvfOc79PV58+Zh3rxImrirqwuvvPJKQo6YniZjIjQH8cDPqlq6DMMBRJyWdS9shC/J\nHvd7ZA6G390lpVxgr5MFL5JSRkdHB9fRRUt1Ozbg/vsi102iDlUm6uG7FqKkuAgtwyZdbjBR/04E\nb6vwTcWZGXhtfSySIGndRDIdsoVOOpdEwXaALxmzn3M2fozSu3jArag/dqEmc+QBaDBigBYrwvPO\n/Y7jraLNCV6+VCubNyJ9Q4xyfxlN8HWcRUqavIzNznX55PGo+/htKi7NWiFTUlDNgQxsb05JRdqc\ne2BPLZNunkSuSVX2B3j9PLcOmzpZn4Z3N2t5gLx9HBmy11mP0PCAFM/FUm/Q7sNHl8u7D6OdhCF/\nLDAQaXXYkl339rWQUQerGipspeXAib+ge3AIlpxiGGxydn5ZRkA2Xj2d2gsxEnCwgtxcQGj1w5GZ\nL20eysvKRMtHO1H6o0ekn9Mbl7g2WPJd1pHpee9PMGXkwZIVKUnr7TmEZPur5PxjTaxULF34Pfos\nsDyGmUngmO/HctCzAWEkExzJ1OpJ4LFcXHrJDPLdKukvs9uNcfk5SCko1ZD4ArHKDWnwAWIOl4yW\nRUYpIaq0ANpyuN5ciXs3q3WLEc+Yg4T/CbtgZ+zSSy/F6dOn8cgjkc6k6dOnY+rUqXj11Vdxww03\ncFmycDgMgyG+fEM8TUYZzQExWUpfj4uIjfgDMOCzM00wpMmIJoC2HjfyFt8b9/dkG0mpoLsHgDp3\ngwXllAk/a9p3qdZkEID/3c3I1enoYqMOvfnIzbDjTHuTlKiwN+jDlfNvhR8mFDHOhZhtSBSoWT55\nPI4LDOSsySIPVUZGr0TGfu7KBXLSPaI/dqHGrkWyER169FlYbZmwT1+gyz7OblxEbJjQNLDz2FS9\nLiEy0pLCXPjq5Jxy59+Q00ewWaXaY41ImzQdg02fSN+r13ghe4YGzDbaCaqHuSByTSqxbzFwUt1v\ncjioGP1ZkfWuz07DmsVLmlxI9yH5LUtGASXdlNHqECPdZqKJJJ6sjQTDsEYz0PF4p1gTM7N0TSl0\nai/ESJafLbGxc57xSbWyUaAgPxdGaxKCis/FM3ZtiFJnFLeXNwmFzLzJcHxAjFAU+OozHGylIi/6\nt5G6LbRUve4FnseQvC5y9yViZO5Jpja5sBRnt6xCKOCLYYSFbGuiyQyRQkXVwU66swF55aayZjeH\nQWbvk/g5Q9c56pgSUlq2FDyWBgUVZ+jDdy1EReXrKLnt0TEHCf8T9oWoLW666SbcdNNN3N9uv117\nOObl5WHFihWav4sWT5OR3FgV54cYhepRFYg3bPR8JaA4DI1m7cHudUZ0Hef9+Of0oMnNsHM1eJVm\nYluPGynTv4uuo7sRHh3GxCj3CbvYVQdPQbQFn4064kWFH3y8hpbIyIOVP3Mh+k+9j9wb/lnDvG4v\nm8E1HegJOstKnYT+o+RmntF+KAkcOF0vuiF/r6qppTqF7N+pKcphBgVehbV42ma5i3/NbUR6enIT\n8nPgh3qjI4SbHo+PYieCwwPIvvI6LssjavUREXEAUk65eEBk8kzlA2h2NUnnQYX9OX7yFD6RyJ6o\nQNYi5oLcKz2xb/a9qrVADgdVCYMVWSdcaaL+Xu8HO5RZCJlTYS+bgebXV8GUWYSkosk4u2UVjBYr\n/J4+6RiLsh3w1QnltY92wlRcBINvRKqjWFBQgJZhLZ7IYDQi2N6I0oklXGlYNV4SjImZ63UvVCV0\nwOjJSumVkMVyM7ku0sUm44jr73KNKcOhulaSvWcxuWTPEccC/M9kOOIREVfV1I6Zx1AVJJH74/H4\naEfxpDsehatuB1zv1yA5V5ttTTSZIVKoGGCIlPYZjdiAKQlZkoxWx44NmH1NBH/5t88akbf4lshv\nNh5FYNANX38XmreuRcmtD/CB0ZMPK+cgXlIl0feve2EjmnsGMA4XFiR81XZRkb7KnCe2U45Mnuu/\n/yT9vJh5GQvtg+iAEBvY8yIKsx1Stm3H9OvRwmSzxING9ftGswXdR9+B1ZYFY0bkFqgYhFWRcgAG\n7mFRXed118zCpIkxJnPyIDbXbEDJomVcNxJ7eA0fr4XN34POaLo9yWSU/oZfUer0OutxbutzMBmA\nSxZH6EB6Gw4jddbdOKfTaUmM8DANmG10Azhd8RKdW2K3L5gjkbiqwNLrZ0vHy35/PG0zdr4AIOiL\nSX2I3WErfvqPdHOUbXSEcPOhNZvo+smbuVDjuLl3rVc6DTJG+nhAZPaZypI0g7CNF6wNFpSj6p39\nCCZry2djAdmOdSOVGcsxCMToWCbmZ2pUDQhXGnkfiXwnFWZj12Z5s4EMXpDWfgIWRzqSo3OVPzMS\ndLJYHzbQmJCfyZVCBgd8FKsDAIFdGzT3taqmFp8PxHC3bBlucLifSs8A/L4ijpdg2cS11BLNXJP7\nIHOA4slKjQUyEK87nXDEBS5fTOeSBZeL4yJNW2ywQfZJkVuSzJuIY/2qHTCxuqKn1zhWHsNEMkIP\nrdnE7VEBTw9ScuXZVkIBZUzPjDsO64gH3cf+AsPoCIZGRhFGmKustO1/Db1H30HWVXOV+EsiwM46\na6H3X8H8q8qkzAcqxzNeUkX8jOr9bT1uID1f+tqFNgh8mXZROWMyiQpbaTkym9+jZYhCQxi3/OhG\naQ1e1BJMhPaB/R0A6H/vTeqApJlCyMzIRMAf4DYEFoSYSIQh/n5htgPuzztQPP8BimcRuXJoxKfY\nXMihM9RxDu5PP1BqAAKAMRykhwLZzEJRx4LtRqLR/0A/kiwm/N30K7l2dVmkqyJMtZVGtN7EJgAZ\nvk1G+LnuD1VRFvtYJup87UuaaH/a1MuQ+V/7cG7zozBak2BBCEsXzdPFixFZKJZ6QaZtxs4XAPg9\nsjwn4HK5uM0RkPOHXXfNLFxeU4ujOrJMzz78S+kBIpPoIcYCkUWNPsL+DfDZF3Q3wZqUhIKCAsqu\nzRrBwMnKZ+kBjzTTk0hJjVg8Il3W2EOf0soIjPHEWMeNPQDu/8mShL6fPSAqJYTKxPk1SaSzaqOl\nkKqaWoRn8xkQx4JlyD61TUMoerriJc389h7arquuoIFDuFvhaZDjAePhXeNlc8YCGYg3p4QjDpCD\ny4ljxnJQAUAa0wxjcUd2IVmwmtZ+AqsUz89XYbLqiooAGUic/01FWQFoAxnf0CAHr1ExyhuMRpjd\nbVi6YDZe3bVXOQ5ZqfXMH1fSeXZFNZO/dvczlG8T3i5MyM/EcgF/qQdhUM3lYEE5nb+6Xz+Novxc\neIZGkCdxclUZ/aSgvKnIaLb8//bOPT6q6tz7v0km4ZpAuEgC0Qh6OFYhpbE9R1uRCtRyWqqgtO+p\naGyxttaKYqsWiy1VbPGjlotvX8Ra4oeg0ioUpBxPaAGLUWzlogQRDRpQLrlwSzJBQi4z7x+TtbP2\nmrX2fWb2TJ7vP8pkZu+19157rWc963l+j7TfiOoEycJXxphYYiRUU4VTb63HqKJCRCLALG5vfdy2\nypg9eJmEAiBfuclEXnNGFWP02WqsXPwbrXO0dz1ofkDIaK4HYB6orjo/APz414sAdKsBA7GicoGa\nf8VMzvyKkW2jFFzzXZzY9Td8/MKjCETCGD4oR5N2EEu3MCMj3LW9x2eIXXTzL3XGEr8qZ9tsdgRT\n+fsjZtMwVIKftfUnUPhd/YRUOOU2HOP0hjTvWZ9h6NU/Ovj16whh3NjLpM+F/eaxletjhGtVnkne\n65jZp3/MMzryvytwfl5U+4wZWwcM4utEOQixLJNqIllcttqwRA9/bfwipa3hMLJPdMts5IwqRvj9\nrQjmF6LfpNvRCeCcRLCUeQFlA/qTD0a1vqzE4HghQApY32ayGh8kW1GLmXVGQtBRdW75lpNVA5S1\nadEfynUB36OKCqU1OcUEGN6LdI9EYoQJ3Y66VR3vaqWtVu+92T3lwzZkWX8D/uM6fFq9E60nT+pK\ncfHJMD/r8kDLvKRf/VKxrWLhbhENWZkA8pF1SzC2q6i3Ff03lWQFD/MIzVu8Aq1ZfRGu/0T7m6ws\nEHuHC/atwX133dEltaLeXhaN8+xB0bEyVFOFUM0eXbF4dmxWvF3m5JCFMIiUr6vQxcSGaqrQ2tiA\nkxkD0B6IxErJKDz6GV++GZHXliEsmasKBg9Au8RrPjDyWUL7jQpfGWN8iZH2ltMIBAIomvkr6RYg\nM6jM9uBVA4nZi6HSkvrkjT/jXCB626xs17Dzix6LAb2D2nFZySOzoMIYt/W6pVq8wEjOK1a3oTsG\njE9RP7rpuWh5ob8s1jS9AggYlhph97S7rp11wdTWo91q1jJPk9H52g8tkN5bPn7PqveMhz3XSJcB\nwowWWVkMAGh+8yVtmzyr38CouKdQQiX/bPd1MjkRVnKHweLrVi7+jaZ7I6IyULRkjfHqhA7+2kTv\nIy+zcV5ers5DAcR6GUI1VWhrrI+9F9U70X6uFfcvfEqLkZxlEnxcOn0K5i1eqttu7t/RrGXOxgMz\n48FqQLAdzzpDpqMGdBlGH3yIm+Y8FFOZQtyi2f/Bh9Katap4q8kTxsf0KV7oVtVOwDtj2co95c/F\nb/k3V+/UVVIwKsWl8pJGz2dfhd4NoiErE0AunD5HK7VlZaHAzzutJ2ul52VhNi3BHIz69qyo7t1f\nFqPohnsNw23GXlWs9Z/s1mZkSMIhZP06MzuaJ9xcvRN9OX0wHrf9qUOYh1gYD9tZCdVU4ePnH0Hf\n7CyUXPZvSs81AAwcOgyzpn9d6gQRveZNG5cAOUNQN6bbjoh3v1HhK2MM6LakrRR/dbsFohJLlR2b\nz+I5T8gQEWNw+PqULDBc1DHKPLQUp179fxj0jZ8g0JX5ZxZUKBqIqjqRfGA9uw7+2KGaKjS+8RI6\nO84iHOyLSHv3wGjk7TOa5MSBpvF4PSLhzpj0ZTG+TXW+LISlnw8f3F0O/NipJq2uH0P0nomw+8E8\nklEx3Nuk23H9avdgwSNztesKZJ9D7Xuv6bKhxJXt5AnjMfj3z0nPzfolr3tjtM3O4JM1VAkd/LXJ\nilZ3y2z8JiaxRFOzX7MQl14yGsc/+BDDrurW89I8F6O/hKbqCIZOuS1ma0mM+eEJ9umrq8N5Zsuz\nMd9JJFbj2Ox61gF5YLumlaXIdhS3aNoDvXFGCDsQ463EY/B9CpDrOYnt3LytEicaGixVrzDDitxG\n8cXn41hXVnAbt+UfyMzU9VmzRa5sHBKrnwD2YxPt4kS8WNZ2WdxZ/fZXEG4/F7uF/erv8cA930PZ\nuk3a+ZjuI3NidDbWo73lFA6W/wq9+/RFUf5g3HBVccwcFJZkcvLXpEnwnGnEJ2ueRNaAoabPxmn1\nhyAiuvsXbjurEynnKzEwbyv/DvLbw8ebjgL4ulJDTrV1zoh3v1HhO2OMYaVjO7XCxX3xUE0Vat7e\ngN8995KWuWSUxcPrFXWcacLHzy9An+wgLr/s32LqUwLAzi4BSZ4BU+/RxPPam+ohQ7wOmcK/2X2S\nvVyBzEz07tsXM6dOwt6PD2Pnnn26Y1ppiwx+oCmdMw+fdvRDzkVf0Dw57aFGhM+dxSdrfoeiLlVz\nIzkHUXuKCeYyZFmuRp8D+rqDp/a8FqMZpYpv4LeEjFa2m7dV4uTpJi22M4tYHAAAIABJREFUSxwk\neGPLbJudwSdrGMU6iHIEIkar1+4t+kejxpqgFn7RzF/qYiTFmB9VlmT5ugrdMwT0gsPJgL1HZnVB\nAWee9ZiYLk4ri8EP+OIWDWtbTfl8/NuoIqk3UzyGeM4TXeXGZGWz2hoO4VBHG3ZUH0bh9HvRnxNT\nlSVF2LmnDFb5o1dOPqpqW6IJOIf+iW9PvgIvbNyIYVzxcHEccyL86UVsol3EPqCqkdksiYVmSLP6\nAbTU7MHFt8yP2S3ByTqtz4hJDADQVL0DF97YXZIrvP15zOmKY7RirPKlwMT+WP/6nzHs6v9jGCph\nNUxApHT6FPzzV090t01RwYMf21VtBdTeLfF9VikeiP2GVQA5dqoJGcEsFAwegHtnfReDcvoZXpcd\nfGWM8UHydmrIqaxwK9pJqkll9KBswywe0UNR0OV14Fdo2soiIDcOBg4dhiAiOF10lWkxWECu8F+/\nfb3hfWLaX/3GXBPTYVnAMb+S90oB+XhjMyKdsfcJ0OtCqQQ/mZyD7qUWKheIWa4M3nsmwveZrP76\nOpdW4hvMtsDK11VosV2yItZi8LS4zS4T71RlCDI9H/Ha3K5exULZbNuI1ynia8sxZIN7vCdJqxU2\neIKI2K5GIGI26fD9xGzAF7doAHNvpngM8Zys3BjrN6xs1qBxE9GECAIIaDsPstgfu4hjk7jNBERD\nCLa+tQufu+TfdcZ++5lGdLR0l9Lj24yzTcjJzUWBwTstOz/DTZacWd8S+8CRUIM0pvTC3mqZHVlW\n/5GKFcjI6gUgdvw8vj5aaaR0+pSY5A8jyQq7cYyijA5rw5n3XsOArkotfAalGHNlt7LB5Anjcd7A\nZdr1ZGTLJJT1Y7uqrfx1WxkLeNicfaL1FErnzNOEvuctXhENienaiWlHtDrP/73fu3ALXxljZ8+1\na/UbO0MntW08hmxLCIh6GI6d7LZYAbVy+OKy1Th2sklTUJd14DP5xXjjvde08kCBjAx81hX/ZEVy\nAtDrTRltFbRHAtKJlo8FYshqZZ15e72uDiLfHl77S1ZQmc+aArrjMBp7nZPGE9jh8KeHkXvF9Jh7\ndeilx7Fs3p0x3iSjSU3FvbO+i/nLjb1nIvwAKquDB1gbwGUVFAbkDYpuM0yLGlhG91wWPK0S72TJ\nE2YZgnxAuEqOQLwHVuL/2IqfF//tYxI7wvBiklRNinbFIBlmcX1W+7rVwHazeyBu0fA4jcXhnyGf\n2cy8m8f+vtKwKoddxD4jbjMB3SEEQ4ZG8/R4Q6N++yv4dM2TuGBG92+ygpkoLH0keh9g/Gztbo+Z\nGVpW+5ZodB/s+28xMaUDPzugvG+yLHQAqPvHaun3mX6iLPkjo71D+htVHCMg7z+TJ4zH5wwyifPP\nVmu1MseO/1rMTpDTmKsLRl6Ezq77Fwl3amLLDNnYrmorYG3Bx3vXmAA706pjjplenWeV1XmguK9O\n8JUxxgehH6lYgV6tDSiwUMi1rVeuppDPXtpenWe1MkqAPmuvjTOOZIMgX9qGj7PiPWUqtz7r9LyR\nZ2TAsX1vo1ggHjHObdEvoy5p2cTKvHQ5gLSgMqDP/PRy26izoz2mDuDZ+k8QOBvVVRIDkZ3UiDMy\nxs1+N3nCeDz5++Uot1AfTkTMWmxqa0ThxGg2KNtmyBklL2INqCdYK8kTKjV78drMtlOtxv9VVx9A\nR6hV8/Qx8V+jBQZ/n9zGJD35++Uo/9s/dc+IDfZONcwmTxiPIolmG+CNx04mJmyUiVw6fQp2Llgi\nPRbv4d4Zo6e3BNd2ZerJ4McKNlGz8e5c43FdVQ4gOuY29pLXhTVDNPAPKW5jRjArxnAK1VSh/dO9\nGNSvN46vWYj8/GForasz9XaoSt6YzRcqQ+vdvftiRJ9V55cZc8yDLe4EZO2rhgpVyEBG1f/giIl+\novgOM2+oiJlAr3hvytdVRAVbJXIS+cOG4pZpUzQx7hc2bjG8T3YQ7x/botXCRhQ1nd0s+CZPGI93\n9+5D+d9ei/HksmupXf+ksjqPl/jKGOMpnHKbLlhPhWpArl3/pE47SWUcybZ0VDUCmbimkdYRG2hU\nei/ZZ0+iWIhHsvqSyEptAOqJlV91idcpc8fafXl4mQ2xCkGf3IHoNfpLWh3ASDiM8748Dc1vrfU8\n60lmjJsdTyyOzlzus6Z9zbQdfJ8TDSizvgWotwvNkicAa2r27N9ujGv227sXfICLSh/WNIUyMmJr\nyzHEEAHWX41ikow8FJu3VaJs/d9jPFh2t15ksPJUIiyw3e7WJ0MqJrx+Awb2642zXYYGq7fHe39n\n7d1nuDCo+ugwBhRP1HtdPj8Rez+OnehlYwUrm8X6ZEYwK8bwL5xyGzIqn9WOYfce8H3um7feqQwh\n4A03XiAXAPoDaN/+PPLz8w2NZZmRzkreqAwwNlZ9fPhoTD1bJnLMjtduIishG8PM5H9kqDx6D98/\nG+/u3YcX1y5Ea2sr2js6kZ8/DFUfHVYK+dqJY1TFu7Lr4gVb+WONvXy07tqN7pMZZouWnFHF6Fe7\nB3PvusPU0+2m9mjVR4eRf909yizecEe7cv5EyfctncMKvjXGAONAbIZqQBZrxYkTXXvoND5+4VFE\nzp2J3eY7eVh6TF5cUwW/j83DLH4WWyZ+3yzg0YkXgF8xiIG8fLyM0aSugs8Aa2prQuGMX6Cxpgqf\ndinrd54NYYhklRj613pH3gwVTr0jYsUAxl6FR1KW8RSqqUJb03Hd99ixDpdHJ5dP1/wOF3CudqPt\nwmgWUCzMePNCzV68FqOJtnxdhVYwm89y5q9TJVgrij/KYpLMtoL484vY3XoRUQ3g4mQjtolhFI96\nJr8YzRVlaD/TiAACKBIMjVumxd5vpv/EjwNjL++OxWHb3+L71P5e7BaYrJ+wslm5Y6JVGMR4SUZu\n3iDH2788ZiEEzHArnTNPJ5AbqqlCc3Mb2hoOYeRVscdlxrKRkS62URyrZHIf/G4IYByzrHoPzeR/\nZBiN/5MnjO/SBOt+FnWIhtt0ZgR1ITzzlz+Lh+/4ruH5rcS7mgm2itfuNOFLVT9S5t0EjIuEW51D\nVYi1b0WGDx6Ak2dCivkzTbcpRYwCsRmqAVmsFScWPR2pSxvXlyq5dtrXNIV/hh1Le/KE8XgC8nIg\nWQP6KbWGeMTB/nhjM2QYrUDEuBEgukIORMI6QVU2AD7wxHLkP1OuxT+ZTtRfvhnNXTEoMm2rT9f+\nDhfcqN/zP/98c0FLO1j1joj38+DRWvQxKF0i/lamtN1UvQPZA+Tu66yBQ7WSOUaZavyzj55H3e+8\nCIa3M9F2IBAzQMV4xCIRRJrqUTBsSMxvzdpqZlzKzs+ws/UiQzWAWzF4je5hfcPx6OJEUstUdiyx\nTapzsO1v2X0Qkd17Pt6nLrsNNYcPKo/nhdEvvb/CNtPmbZW62qf8GKIqnD728tG4f+FThka6iDhW\nybbY7ZSjk2lxsVrF0UUCTPX3eMTxf/O2Ss34kG2XNrYDRdN/ovus36Tb8fCixzFy5ChtjJMZ/UbI\n4tfEhCbx2p0mfBkZtPw26KJnynXVGAD7tW3NsFL7FuiOzzvz2VmM7Ipl9BLfGmNmgdgM1QpXzMY7\n01qPw39ZjIy+A2Lc87JSJeNMYm7MEAejxuP1CPbpp6w3xyMb7I/86VFpKRyjFYjYhoJABLf8co5O\nLE8cAA9V79Din4zayF5clbI+AHSGIzhY/ivk5OZi+OABeOTH3zUtq2QXK94R2dZRff1eXGyxHbKM\nJxY7JZs0mt7eoK3a+bp5R3dvlBZ+Zpit8Kxk/tjZYmWoJtogIjEDFCu6ffavj6Ml0kspyyErbQbo\n76+ZwSY7P9Cdaex2RSwbwI3EXBlG97Dh1Gkt1km17VxXf9xwpS8r12Vn0lO9E2LZLCeCtnYwmiDZ\nO3mOq33KxF9ZQeqz9Z/io/L5yMrKQt+sTFw55iJU7D6A9gEjdItrPgkh2Ks15lziWCW9l8JuiFE5\nOlFjrjvx5kHTcdMMcaySbQOG22KvMVRThdPnMtHHhXiplbFU/I7mQVv1ELL69DON22WL4r0fHdKS\n6Hjq6o/rrt/ugsYJVmvfsv+qMpvd4itjTBesrwjWEzEbkNl/S+fMQ7jvaJzY8b+WsojcxtyIxyid\nM08n2Mh7o8YIk7PRNoPdYHPZdfCDiRX1fdVEDciV9WXeRxbf5nZ/X8TK8cT72Vy9UydqypDJiQDy\nFePp997Q/h/QlwsqKhyu8/6psiQBe7Fe/LU63Wq2412Lnm89wCVhhE8exu03XIuqjw7rVKuB7r4C\nxJY2A6ILrFu4BZbZ4K86Px/X58V7ymNlQjK6h3ysk8yrF6qpwpmWNm1rTiyWzQSixXJdojCvkeFp\n5Z0wGjeNBG29gr2Tudxipv1Mo25hGO7s0PWff3TpNUYqymJEmxlNW56NkScRxyrZFvssyW4Iq3XJ\n2ssWUmJsk6zEm2pst3pfGLI+xErZ8TRX79SFQwD2jRY+s5DNj+GTh3HxuG4R88aGhti6tO9vxcDh\nRdpnqnrDQHeVhDbO08vPx63H9PF8VvRG3cK/C2a1bwH1GOEWXxljTjLqxO0nlWu2A1EJiRO7/haj\nL+Qmi8gq/ABuNpGK32UdtbPxuG47VTYYP/n75dFCsMFsoKMNM6dOiimazQ/WsvqRPMz9Lm6tsmPI\nlPWNjDpeRsMokNRq8LAV74g4eQYyMy3LiQDyly+T08HhY6KCry1DbV2drpyNHSPXCP5aG/YfiKk+\nYOWYdlPcgah7/myoK1t1xDCMG3sZdn90RHqc9kggpgSXqryXmdHQfb0VqMtqjSaJFA7Xgpi9MsL0\nMiWSyUYwZIzuIZ8YIPPA8F5TmcbhTs7gEOGFeY2w6jFUGbJeL5hk8JVBgOh72NZ0QhMslb4zXVuT\nuaO/iKbqHcgMZsd8RyYoLI5VhVNu097Z8JurMPfOaKyjbDcEiC2zJMY21TZ3i3a7jccVxypZHwq0\nnY35rK2xQXo8O0bL5AndmYXM4x2qqcI/qraicNqc6FzU1oS2hkPotfoRnH9+oVSQWFVvmFc4yOWq\n2PD3SwyitxqT5jTpRv+77u1lfqtYPB7T7uQdI17gK2NMnPDNsBP/wgZQsywi/thOM6pk8AO42eTM\nvisTpmyVlLBgPPn75SireEuXEl62Ppoyzxtkukmd09qSZYyYud9Xra9A9dkGHK2txcGXnsDI79xv\nqYC62faFneBhM++IOHmqhHtVciKyyal/RzPObHkW4ZH/2b2qO/IhBg4bgd4lU3WDpZerO3atVpWj\nrVyL2USrko7h4bdMAWDIGPPyXlaMBvb/85evxtAZv9CMlvnLn9X93Smy/tYhxJCKbTK7h7I4TVYX\nNJPzmpoZHG7El914DJ1s/9odL/l3kt2n1hPdCSyyd0b0bJ3Y8b/SY6uETFetr0BddhuOr12IYcPk\nWa1im1VllvZ2JWJt3laJu9/br/3N7cJLtQ3Ib5de+93r8fLmf+oWOoH2s7LD2fZmVn10OJphrm0V\nf4KLusIxxLmIJaOINSJV94BXONA8vYIWo2mMKoyLqzOsZtSrJE5U2mkAdFn4KPme8vh28ZUxdmLM\njQDkLk5mrfIv/KFPD6P3N/SFWVVaMGzFa5RFxDB6uEBsSrGsbeJgxLuAxQw8BhtE2Hebm9tsvdgv\nbNwSo81TOG0OXly7UDPGxJXAzVMnau55seObDSysDfMWH0X/UZ/XNMVaT8i9JlYGBjsxTVYnAHHy\nzB39RRxZtwSF07s1fIwmOtnk9MC9P8Bf/voqtuz+G4q6hCqPVpRhEBffwAbLc8fkoo9utn2cZhJa\nmWhjilZLdIQiry1DeLt8y9SKBhnfHrNJanHZamlJpSVlz5p6VAH5+8qQ9rdLr8HR3RuRmzcIEcnt\ntHIPxThNPlyBec6sGByqbFUjzORCrLwzdow5J5Oh+E42V+9E78HDtb/LPCK5o7+ohWowIVsZYrwo\nPwcEs7Jwyb+Pthzgbratz1fcKJxyW0y4BluoNTQds+TNlRn6bLuU/20087aiO/N2wjditllVCWNG\n8AkoQLenymguEI0I1eJTVDiQaTHKYlTD7281XBwtLlut0xTl2wao33/VXPPCmt8qtdMiEQhZ+Gmc\nTalycYrWaqimCieaPsRIyTFUWjAdG5cCoVrpefkXWPWQFv1hGdp65dqypPlVlyYup8rA4wrhAsAD\nTyyXfk/p/VDU84p0FSIXCxIHMjOx872/46vjRuPMvlj1feblMDp/+boKnToxC1Z3uqq3kx1pdQIQ\nJ8+CQARj/+tKywKRKjf2P96t1mQLAMRoy7EJNbD1aXSaZOfa9Sy42Uqy45lU6QgNHDoMs6Z/Xbpl\nKquHaFQI3Yzak00YIvn82MnuEjqqihvBPn0NM7GsVkHgf8P+34mnln9uKoPj6F8WYcQNP9X6UMvm\nZ/GIDUPMaCHptcYfYL6AMurbfC3NXsXXav1G5hHpV7sHN157hfbeiqXUQjVVaHp7AzILh6N0zjwt\n/k5bMHDizLJrl1XVOFp/Qip+ysZqFv4CQLcQlXmSrNxrN1vM/DarnYQxHj4BBZDHBPO0RwKYNf3r\nurHISCKiTRwHLSROPHDvDwzHq0P1pzFC8jcxGQBQhwPpUMyj8axzCvjQGFNZ4KK12ly9E9l5BdJj\nqNKzB0y9B4NfWxbbIYRJTPWQjp1s0rZrjNrGPhe9OUxczoqxMnnCeIyxm3koCewEuktoyAoSA8Ab\nG5Zi0c9ui+nwKkXnxuP12n76Bx8dilEnthNsLKLy+PDnDCKCk6dPK1dDblf6DKOJTaaBpRqEmGq1\naoB1ujULOM8kVGElgDhUU4XjH3yIsnXRAaQgf5guYYHXWgsOHGpaCN0McUUt+1z2vrcEczBikjwT\ni/1GVBr3Kr5PZYDwzy2QfQ61YlLO+1uRjQ7dFlT/9s8sn9fIMGKrerfXJmK0gDLr2zqPoeANbA81\n4tiLD6O4eIyyf7NKE7x4rBh/B5g/V1VVjT4mY7VYx5WN7QEELPcjWV9xWpGEHfubt96Jfgbjo6p/\nimK7sphgnqxAJGYsslNvWCYjJfMEqihfVwH0ly3Voobl0Bk/Vt4DZSC+Yh7NCkSknnKv8J0xprLA\nRWs1kJmJnIu+EPOi1HZlxKnSs/kVvWoSUz0kpQitRUtaFrTKMvCefDC289n1fsycOgllBiU0ZAWJ\nQzVV6MzOkWb+yM7ftHEJgn36aZmh546UAZIJ22qwsYiVcwLA0TWPS1dDXq5ejCY2Sxpc0CtgqwYX\nN2V9xG06I8kE9h0jD5xZAHGopgpNe7bqPEcy2ZWcUcVo3b0RQ4UgVyeT//BBA3BIVoCZS6GXGQRG\n0hIqpXEv4vusGCC8Ic6PRdFg6Dm644VqqmKKx6vun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SuU1wuI1Ec9cPFYrDkxEL0a98U5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4983 "png": 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RlNQDCxb8rt0nwR050oBz59RMNPl4bX//ycaPWthhvz3brud6QkCbgcVi8XrN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\ncvJ1LCNjn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8304 "<__main__.Gaussian at 0x111bd3910>"
7991 "<__main__.Gaussian at 0x108861e10>"
8305 7992 ]
8306 7993 }
8307 7994 ],
8308 7995 "prompt_number": 8
8309 7996 },
8310 7997 {
8311 7998 "cell_type": "markdown",
8312 7999 "metadata": {},
8313 8000 "source": [
8314 8001 "We can easily compare them by displaying their histograms"
8315 8002 ]
8316 8003 },
8317 8004 {
8318 8005 "cell_type": "code",
8319 8006 "collapsed": false,
8320 8007 "input": [
8321 8008 "display(x.hist)\n",
8322 8009 "display(x2.hist)"
8323 8010 ],
8324 8011 "language": "python",
8325 8012 "metadata": {},
8326 8013 "outputs": [
8327 8014 {
8328 8015 "metadata": {},
8329 8016 "output_type": "display_data",
8330 "png": 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wRIACAAAwVO9v4b3zzjs6dOiQ7Ha7kpOTNWLECOXn52vLli2yWq1KSEjQlClTAlErAABA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\n8tRvBgCApoAlPAA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8017 "png": 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ORK5CYII=\n",
8331 8018 "text": [
8332 "<IPython.core.display.Image at 0x111d88b50>"
8019 "<IPython.core.display.Image at 0x1083d5f90>"
8333 8020 ]
8334 8021 },
8335 8022 {
8336 8023 "metadata": {},
8337 8024 "output_type": "display_data",
8338 "png": 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8025 "png": 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8339 8026 "text": [
8340 "<IPython.core.display.Image at 0x111b2fb90>"
8027 "<IPython.core.display.Image at 0x104eac510>"
8341 8028 ]
8342 8029 }
8343 8030 ],
8344 8031 "prompt_number": 9
8345 8032 },
8346 8033 {
8347 8034 "cell_type": "heading",
8348 8035 "level": 2,
8349 8036 "metadata": {},
8350 8037 "source": [
8351 8038 "Adding IPython display support to existing objects"
8352 8039 ]
8353 8040 },
8354 8041 {
8355 8042 "cell_type": "markdown",
8356 8043 "metadata": {},
8357 8044 "source": [
8358 8045 "When you are directly writing your own classes, you can adapt them for display in IPython by following the above example. But in practice, we often need to work with existing code we can't modify. We now illustrate how to add these kinds of extended display capabilities to existing objects. We will use the NumPy polynomials and change their default representation to be a formatted LaTeX expression."
8359 8046 ]
8360 8047 },
8361 8048 {
8362 8049 "cell_type": "markdown",
8363 8050 "metadata": {},
8364 8051 "source": [
8365 8052 "First, consider how a numpy polynomial object renders by default:"
8366 8053 ]
8367 8054 },
8368 8055 {
8369 8056 "cell_type": "code",
8370 8057 "collapsed": false,
8371 8058 "input": [
8372 8059 "p = np.polynomial.Polynomial([1,2,3], [-10, 10])\n",
8373 8060 "p"
8374 8061 ],
8375 8062 "language": "python",
8376 8063 "metadata": {},
8377 8064 "outputs": [
8378 8065 {
8379 8066 "metadata": {},
8380 8067 "output_type": "pyout",
8381 8068 "prompt_number": 10,
8382 8069 "text": [
8383 8070 "Polynomial([ 1., 2., 3.], [-10., 10.], [-1., 1.])"
8384 8071 ]
8385 8072 }
8386 8073 ],
8387 8074 "prompt_number": 10
8388 8075 },
8389 8076 {
8390 8077 "cell_type": "markdown",
8391 8078 "metadata": {},
8392 8079 "source": [
8393 8080 "Next, we define a function that pretty-prints a polynomial as a LaTeX string:"
8394 8081 ]
8395 8082 },
8396 8083 {
8397 8084 "cell_type": "code",
8398 8085 "collapsed": false,
8399 8086 "input": [
8400 8087 "def poly2latex(p):\n",
8401 8088 " terms = ['%.2g' % p.coef[0]]\n",
8402 8089 " if len(p) > 1:\n",
8403 8090 " term = 'x'\n",
8404 8091 " c = p.coef[1]\n",
8405 8092 " if c!=1:\n",
8406 8093 " term = ('%.2g ' % c) + term\n",
8407 8094 " terms.append(term)\n",
8408 8095 " if len(p) > 2:\n",
8409 8096 " for i in range(2, len(p)):\n",
8410 8097 " term = 'x^%d' % i\n",
8411 8098 " c = p.coef[i]\n",
8412 8099 " if c!=1:\n",
8413 8100 " term = ('%.2g ' % c) + term\n",
8414 8101 " terms.append(term)\n",
8415 8102 " px = '$P(x)=%s$' % '+'.join(terms)\n",
8416 8103 " dom = r', domain: $[%.2g,\\ %.2g]$' % tuple(p.domain)\n",
8417 8104 " return px+dom"
8418 8105 ],
8419 8106 "language": "python",
8420 8107 "metadata": {},
8421 8108 "outputs": [],
8422 8109 "prompt_number": 11
8423 8110 },
8424 8111 {
8425 8112 "cell_type": "markdown",
8426 8113 "metadata": {},
8427 8114 "source": [
8428 8115 "This produces, on our polynomial ``p``, the following:"
8429 8116 ]
8430 8117 },
8431 8118 {
8432 8119 "cell_type": "code",
8433 8120 "collapsed": false,
8434 8121 "input": [
8435 8122 "poly2latex(p)"
8436 8123 ],
8437 8124 "language": "python",
8438 8125 "metadata": {},
8439 8126 "outputs": [
8440 8127 {
8441 8128 "metadata": {},
8442 8129 "output_type": "pyout",
8443 8130 "prompt_number": 12,
8444 8131 "text": [
8445 8132 "'$P(x)=1+2 x+3 x^2$, domain: $[-10,\\\\ 10]$'"
8446 8133 ]
8447 8134 }
8448 8135 ],
8449 8136 "prompt_number": 12
8450 8137 },
8451 8138 {
8452 8139 "cell_type": "code",
8453 8140 "collapsed": false,
8454 8141 "input": [
8455 8142 "from IPython.display import Latex\n",
8456 8143 "Latex(poly2latex(p))"
8457 8144 ],
8458 8145 "language": "python",
8459 8146 "metadata": {},
8460 8147 "outputs": [
8461 8148 {
8462 8149 "latex": [
8463 8150 "$P(x)=1+2 x+3 x^2$, domain: $[-10,\\ 10]$"
8464 8151 ],
8465 8152 "metadata": {},
8466 8153 "output_type": "pyout",
8467 8154 "prompt_number": 13,
8468 8155 "text": [
8469 "<IPython.core.display.Latex at 0x111bd19d0>"
8156 "<IPython.core.display.Latex at 0x1083cbe10>"
8470 8157 ]
8471 8158 }
8472 8159 ],
8473 8160 "prompt_number": 13
8474 8161 },
8475 8162 {
8476 8163 "cell_type": "markdown",
8477 8164 "metadata": {},
8478 8165 "source": [
8479 8166 "But we can configure IPython to do this automatically for us as follows. We hook into the\n",
8480 8167 "IPython display system and instruct it to use ``poly2latex`` for the latex mimetype, when\n",
8481 8168 "encountering objects of the ``Polynomial`` type defined in the\n",
8482 8169 "``numpy.polynomial.polynomial`` module:"
8483 8170 ]
8484 8171 },
8485 8172 {
8486 8173 "cell_type": "code",
8487 8174 "collapsed": false,
8488 8175 "input": [
8489 8176 "ip = get_ipython()\n",
8490 8177 "latex_formatter = ip.display_formatter.formatters['text/latex']\n",
8491 8178 "latex_formatter.for_type_by_name('numpy.polynomial.polynomial',\n",
8492 8179 " 'Polynomial', poly2latex)"
8493 8180 ],
8494 8181 "language": "python",
8495 8182 "metadata": {},
8496 8183 "outputs": [],
8497 8184 "prompt_number": 14
8498 8185 },
8499 8186 {
8500 8187 "cell_type": "markdown",
8501 8188 "metadata": {},
8502 8189 "source": [
8503 8190 "For more examples on how to use the above system, and how to bundle similar print functions\n",
8504 8191 "into a convenient IPython extension, see sympy's [`printing` extension](https://github.com/sympy/sympy/blob/master/sympy/interactive/printing.py).\n",
8505 8192 "\n",
8506 8193 "Once our special printer has been loaded, all polynomials will be represented by their \n",
8507 8194 "mathematical form instead:"
8508 8195 ]
8509 8196 },
8510 8197 {
8511 8198 "cell_type": "code",
8512 8199 "collapsed": false,
8513 8200 "input": [
8514 8201 "p"
8515 8202 ],
8516 8203 "language": "python",
8517 8204 "metadata": {},
8518 8205 "outputs": [
8519 8206 {
8520 8207 "latex": [
8521 8208 "$P(x)=1+2 x+3 x^2$, domain: $[-10,\\ 10]$"
8522 8209 ],
8523 8210 "metadata": {},
8524 8211 "output_type": "pyout",
8525 8212 "prompt_number": 15,
8526 8213 "text": [
8527 8214 "Polynomial([ 1., 2., 3.], [-10., 10.], [-1., 1.])"
8528 8215 ]
8529 8216 }
8530 8217 ],
8531 8218 "prompt_number": 15
8532 8219 },
8533 8220 {
8534 8221 "cell_type": "code",
8535 8222 "collapsed": false,
8536 8223 "input": [
8537 8224 "p2 = np.polynomial.Polynomial([-20, 71, -15, 1])\n",
8538 8225 "p2"
8539 8226 ],
8540 8227 "language": "python",
8541 8228 "metadata": {},
8542 8229 "outputs": [
8543 8230 {
8544 8231 "latex": [
8545 8232 "$P(x)=-20+71 x+-15 x^2+x^3$, domain: $[-1,\\ 1]$"
8546 8233 ],
8547 8234 "metadata": {},
8548 8235 "output_type": "pyout",
8549 "prompt_number": 17,
8236 "prompt_number": 16,
8550 8237 "text": [
8551 8238 "Polynomial([-20., 71., -15., 1.], [-1., 1.], [-1., 1.])"
8552 8239 ]
8553 8240 }
8554 8241 ],
8555 "prompt_number": 17
8242 "prompt_number": 16
8556 8243 },
8557 8244 {
8558 8245 "cell_type": "heading",
8559 8246 "level": 2,
8560 8247 "metadata": {},
8561 8248 "source": [
8562 8249 "More complex display with `_ipython_display_`"
8563 8250 ]
8564 8251 },
8565 8252 {
8566 8253 "cell_type": "markdown",
8567 8254 "metadata": {},
8568 8255 "source": [
8569 8256 "Rich reprs can only display one object or mime-type at a time.\n",
8570 8257 "Sometimes this is not enough,\n",
8571 8258 "because you need to get javascript on the page, or you want LaTeX and a PNG.\n",
8572 8259 "This can be done with multiple calls to display easily enough,\n",
8573 8260 "but then users need to know more than they should.\n",
8574 8261 "\n",
8575 8262 "In **IPython 2.0**, we added a special `_ipython_display_` method,\n",
8576 8263 "that allows your objects to take control of displaying.\n",
8577 8264 "If this method is defined, IPython will call it, and make no effort to display the object itself.\n",
8578 8265 "It's a way for you to say \"Back off, IPython, I got this.\""
8579 8266 ]
8580 8267 },
8581 8268 {
8582 8269 "cell_type": "code",
8583 8270 "collapsed": false,
8584 8271 "input": [
8585 8272 "import json\n",
8586 8273 "import uuid\n",
8587 8274 "from IPython.display import display_javascript, display_html, display\n",
8588 8275 "\n",
8589 8276 "class FlotPlot(object):\n",
8590 8277 " def __init__(self, x, y):\n",
8591 8278 " self.x = x\n",
8592 8279 " self.y = y\n",
8593 8280 " self.uuid = str(uuid.uuid4())\n",
8594 8281 " \n",
8595 8282 " def _ipython_display_(self):\n",
8596 8283 " json_data = json.dumps(zip(self.x, self.y))\n",
8597 8284 " display_html('<div id=\"{}\" style=\"height: 300px; width:80%;\"></div>'.format(self.uuid),\n",
8598 8285 " raw=True\n",
8599 8286 " )\n",
8600 8287 " display_javascript(\"\"\"\n",
8601 8288 " require([\"//cdnjs.cloudflare.com/ajax/libs/flot/0.8.2/jquery.flot.min.js\"], function() {\n",
8602 8289 " var line = JSON.parse(\"%s\");\n",
8603 8290 " console.log(line);\n",
8604 8291 " $.plot(\"#%s\", [line]);\n",
8605 8292 " });\n",
8606 8293 " \"\"\" % (json_data, self.uuid), raw=True)\n"
8607 8294 ],
8608 8295 "language": "python",
8609 8296 "metadata": {},
8610 8297 "outputs": [],
8611 8298 "prompt_number": 17
8612 8299 },
8613 8300 {
8614 8301 "cell_type": "code",
8615 8302 "collapsed": false,
8616 8303 "input": [
8617 8304 "import numpy as np\n",
8618 8305 "x = np.linspace(0,10)\n",
8619 8306 "y = np.sin(x)\n",
8620 8307 "FlotPlot(x, np.sin(x))"
8621 8308 ],
8622 8309 "language": "python",
8623 8310 "metadata": {},
8624 8311 "outputs": [
8625 8312 {
8626 8313 "html": [
8627 "<div id=\"6cc58a29-42e4-43ff-9204-1043632e90f4\" style=\"height: 300px; width:80%;\"></div>"
8314 "<div id=\"47ba8d73-8a8b-4a34-b96b-378e969797f2\" style=\"height: 300px; width:80%;\"></div>"
8628 8315 ],
8629 8316 "metadata": {},
8630 8317 "output_type": "display_data"
8631 8318 },
8632 8319 {
8633 8320 "javascript": [
8634 8321 "\n",
8635 8322 " require([\"//cdnjs.cloudflare.com/ajax/libs/flot/0.8.2/jquery.flot.min.js\"], function() {\n",
8636 8323 " var line = JSON.parse(\"[[0.0, 0.0], [0.20408163265306123, 0.20266793654820095], [0.40816326530612246, 0.39692414892492234], [0.61224489795918369, 0.57470604121617908], [0.81632653061224492, 0.72863478346935029], [1.0204081632653061, 0.85232156971961837], [1.2244897959183674, 0.94063278511248671], [1.4285714285714286, 0.98990307637212394], [1.6326530612244898, 0.99808748213471832], [1.8367346938775511, 0.96484630898376322], [2.0408163265306123, 0.89155923041100371], [2.2448979591836737, 0.7812680235262639], [2.4489795918367347, 0.63855032022660208], [2.6530612244897958, 0.46932961277720098], [2.8571428571428572, 0.28062939951435684], [3.0612244897959187, 0.080281674842813497], [3.2653061224489797, -0.12339813736217871], [3.4693877551020407, -0.32195631507261868], [3.6734693877551021, -0.50715170948451438], [3.8775510204081636, -0.67129779355193209], [4.0816326530612246, -0.80758169096833643], [4.2857142857142856, -0.91034694431078278], [4.4897959183673475, -0.97532828606704558], [4.6938775510204085, -0.99982866838408957], [4.8979591836734695, -0.98283120392563061], [5.1020408163265305, -0.92504137173820289], [5.3061224489795915, -0.82885773637304272], [5.5102040816326534, -0.69827239556539955], [5.7142857142857144, -0.53870528838615628], [5.9183673469387754, -0.35677924089893803], [6.1224489795918373, -0.16004508604325057], [6.3265306122448983, 0.043331733368683463], [6.5306122448979593, 0.24491007101197931], [6.7346938775510203, 0.43632342647181932], [6.9387755102040813, 0.6096271964908323], [7.1428571428571432, 0.75762841539272019], [7.3469387755102042, 0.87418429881973347], [7.5510204081632653, 0.95445719973875187], [7.7551020408163271, 0.99511539477766364], [7.9591836734693882, 0.99447136726361685], [8.1632653061224492, 0.95255184753146038], [8.3673469387755102, 0.87109670348232071], [8.5714285714285712, 0.75348672743963763], [8.7755102040816322, 0.60460331650615429], [8.979591836734695, 0.43062587038273736], [9.183673469387756, 0.23877531564403087], [9.387755102040817, 0.037014401485062368], [9.591836734693878, -0.16628279384875641], [9.795918367346939, -0.36267842882654883], [10.0, -0.54402111088936989]]\");\n",
8637 8324 " console.log(line);\n",
8638 " $.plot(\"#6cc58a29-42e4-43ff-9204-1043632e90f4\", [line]);\n",
8325 " $.plot(\"#47ba8d73-8a8b-4a34-b96b-378e969797f2\", [line]);\n",
8639 8326 " });\n",
8640 8327 " "
8641 8328 ],
8642 8329 "metadata": {},
8643 8330 "output_type": "display_data"
8644 8331 }
8645 8332 ],
8646 "prompt_number": 19
8333 "prompt_number": 18
8647 8334 }
8648 8335 ],
8649 8336 "metadata": {}
8650 8337 }
8651 8338 ]
8652 8339 } No newline at end of file
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