Market Structure Analysis.ipynb

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    "reviews1 = read.csv('brand_reviews.csv',sep='\\t')"
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       "<table>\n",
       "<thead><tr><th scope=col>X</th><th scope=col>Brand</th><th scope=col>Reviews</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><td>0                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       </td><td>sony                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    </td><td><span style=white-space:pre-wrap>&lt;p&gt;Hi DPR,&lt;br/&gt;the original video links are dead, please check...&lt;/p&gt;                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         </span></td></tr>\n",
       "\t<tr><td>1                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 </td><td>sony                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              </td><td><span style=white-space:pre-wrap>&lt;p&gt;Sold American ! lol&lt;/p&gt;                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    </span></td></tr>\n",
       "\t<tr><td>2                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 </td><td>sony                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              </td><td><span style=white-space:pre-wrap>&lt;p&gt;Since I already have the RX100M3, I'll wait one more year for the DSC-RX10M4 - to leap frog every other year.  It'll probably have a flip-screen, improved auto focus, longer zoom, touch screen.&lt;/p&gt;                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      </span></td></tr>\n",
       "\t<tr><td>3                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             </td><td>sony                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          </td><td>&lt;p&gt;Q: Been looking at the RX10 &amp;amp; now the Rx10-II ups it to 4k, etc. Wish the screen flipped 180 for shooting video. (Biological_Viewfinder) Curious if you stand by your switch from interchangeable lens cameras to this one. I travel frequently and really don't want to pack a bag of lenses. (I will primarily use the camera for headshot photography, some travel photography, live events, and would like to shoot a short film with it. I know I'm asking for a Swiss Army Knife of a camera) I used to shoot everything with a small Lumix FZ cam and have a good eye, and am getting hired off those photos, but I need better quality. Am I doing myself a disservice by not getting an interchangeable lens camera? (Also looking at the comparable Lumix 1000 with flip screen and longer lens, but it doesn't maintain 2.8 like the Sony which, I heard, gets better bokeh with the built in ND Filter. Still learning the technical aspects of photography. Thanks and Happy Holidays.&lt;/p&gt;</td></tr>\n",
       "\t<tr><td>4                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       </td><td>sony                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    </td><td><span style=white-space:pre-wrap>&lt;p&gt;I hope Sony try to improve the AF. &lt;br/&gt;and consider lowering the price so more will buy&lt;/p&gt;                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               </span></td></tr>\n",
       "\t<tr><td>5                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 </td><td>sony                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              </td><td><span style=white-space:pre-wrap>&lt;p&gt;I'm thinking of buying this camera primarily for the video since I own an A77ii for stills. Is there a dedicated video camera for $1300 that is as good as this?&lt;/p&gt;                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       </span></td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lll}\n",
       " X & Brand & Reviews\\\\\n",
       "\\hline\n",
       "\t 0                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              & sony                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           & <p>Hi DPR,<br/>the original video links are dead, please check...</p>                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         \\\\\n",
       "\t 1                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              & sony                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           & <p>Sold American ! lol</p>                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    \\\\\n",
       "\t 2                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              & sony                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           & <p>Since I already have the RX100M3, I'll wait one more year for the DSC-RX10M4 - to leap frog every other year.  It'll probably have a flip-screen, improved auto focus, longer zoom, touch screen.</p>                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      \\\\\n",
       "\t 3                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  & sony                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               & <p>Q: Been looking at the RX10 \\&amp; now the Rx10-II ups it to 4k, etc. Wish the screen flipped 180 for shooting video. (Biological\\_Viewfinder) Curious if you stand by your switch from interchangeable lens cameras to this one. I travel frequently and really don't want to pack a bag of lenses. (I will primarily use the camera for headshot photography, some travel photography, live events, and would like to shoot a short film with it. I know I'm asking for a Swiss Army Knife of a camera) I used to shoot everything with a small Lumix FZ cam and have a good eye, and am getting hired off those photos, but I need better quality. Am I doing myself a disservice by not getting an interchangeable lens camera? (Also looking at the comparable Lumix 1000 with flip screen and longer lens, but it doesn't maintain 2.8 like the Sony which, I heard, gets better bokeh with the built in ND Filter. Still learning the technical aspects of photography. Thanks and Happy Holidays.</p>\\\\\n",
       "\t 4                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              & sony                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           & <p>I hope Sony try to improve the AF. <br/>and consider lowering the price so more will buy</p>                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               \\\\\n",
       "\t 5                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                & sony                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             & <p>I'm thinking of buying this camera primarily for the video since I own an A77ii for stills. Is there a dedicated video camera for \\$1300 that is as good as this?</p>                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| X | Brand | Reviews |\n",
       "|---|---|---|\n",
       "| 0                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              | sony                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           | <p>Hi DPR,<br/>the original video links are dead, please check...</p>                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          |\n",
       "| 1                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              | sony                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           | <p>Sold American ! lol</p>                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     |\n",
       "| 2                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              | sony                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           | <p>Since I already have the RX100M3, I'll wait one more year for the DSC-RX10M4 - to leap frog every other year.  It'll probably have a flip-screen, improved auto focus, longer zoom, touch screen.</p>                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       |\n",
       "| 3                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              | sony                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           | <p>Q: Been looking at the RX10 &amp; now the Rx10-II ups it to 4k, etc. Wish the screen flipped 180 for shooting video. (Biological_Viewfinder) Curious if you stand by your switch from interchangeable lens cameras to this one. I travel frequently and really don't want to pack a bag of lenses. (I will primarily use the camera for headshot photography, some travel photography, live events, and would like to shoot a short film with it. I know I'm asking for a Swiss Army Knife of a camera) I used to shoot everything with a small Lumix FZ cam and have a good eye, and am getting hired off those photos, but I need better quality. Am I doing myself a disservice by not getting an interchangeable lens camera? (Also looking at the comparable Lumix 1000 with flip screen and longer lens, but it doesn't maintain 2.8 like the Sony which, I heard, gets better bokeh with the built in ND Filter. Still learning the technical aspects of photography. Thanks and Happy Holidays.</p> |\n",
       "| 4                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              | sony                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           | <p>I hope Sony try to improve the AF. <br/>and consider lowering the price so more will buy</p>                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                |\n",
       "| 5                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              | sony                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           | <p>I'm thinking of buying this camera primarily for the video since I own an A77ii for stills. Is there a dedicated video camera for $1300 that is as good as this?</p>                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        |\n",
       "\n"
      ],
      "text/plain": [
       "  X Brand\n",
       "1 0 sony \n",
       "2 1 sony \n",
       "3 2 sony \n",
       "4 3 sony \n",
       "5 4 sony \n",
       "6 5 sony \n",
       "  Reviews                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       \n",
       "1 <p>Hi DPR,<br/>the original video links are dead, please check...</p>                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         \n",
       "2 <p>Sold American ! lol</p>                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    \n",
       "3 <p>Since I already have the RX100M3, I'll wait one more year for the DSC-RX10M4 - to leap frog every other year.  It'll probably have a flip-screen, improved auto focus, longer zoom, touch screen.</p>                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      \n",
       "4 <p>Q: Been looking at the RX10 &amp; now the Rx10-II ups it to 4k, etc. Wish the screen flipped 180 for shooting video. (Biological_Viewfinder) Curious if you stand by your switch from interchangeable lens cameras to this one. I travel frequently and really don't want to pack a bag of lenses. (I will primarily use the camera for headshot photography, some travel photography, live events, and would like to shoot a short film with it. I know I'm asking for a Swiss Army Knife of a camera) I used to shoot everything with a small Lumix FZ cam and have a good eye, and am getting hired off those photos, but I need better quality. Am I doing myself a disservice by not getting an interchangeable lens camera? (Also looking at the comparable Lumix 1000 with flip screen and longer lens, but it doesn't maintain 2.8 like the Sony which, I heard, gets better bokeh with the built in ND Filter. Still learning the technical aspects of photography. Thanks and Happy Holidays.</p>\n",
       "5 <p>I hope Sony try to improve the AF. <br/>and consider lowering the price so more will buy</p>                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               \n",
       "6 <p>I'm thinking of buying this camera primarily for the video since I own an A77ii for stills. Is there a dedicated video camera for $1300 that is as good as this?</p>                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       "
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    "xy = paste(reviews1$Brand,reviews1$Reviews)"
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      "Loading required package: NLP\n"
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       "<ol class=list-inline>\n",
       "\t<li>'sony &lt;p&gt;Hi DPR,&lt;br/&gt;the original video links are dead, please check...&lt;/p&gt;'</li>\n",
       "\t<li>'sony &lt;p&gt;Sold American ! lol&lt;/p&gt;'</li>\n",
       "\t<li><span style=white-space:pre-wrap>'sony &lt;p&gt;Since I already have the RX100M3, I\\'ll wait one more year for the DSC-RX10M4 - to leap frog every other year.  It\\'ll probably have a flip-screen, improved auto focus, longer zoom, touch screen.&lt;/p&gt;'</span></li>\n",
       "\t<li>'sony &lt;p&gt;Q: Been looking at the RX10 &amp;amp; now the Rx10-II ups it to 4k, etc. Wish the screen flipped 180 for shooting video. (Biological_Viewfinder) Curious if you stand by your switch from interchangeable lens cameras to this one. I travel frequently and really don\\'t want to pack a bag of lenses. (I will primarily use the camera for headshot photography, some travel photography, live events, and would like to shoot a short film with it. I know I\\'m asking for a Swiss Army Knife of a camera) I used to shoot everything with a small Lumix FZ cam and have a good eye, and am getting hired off those photos, but I need better quality. Am I doing myself a disservice by not getting an interchangeable lens camera? (Also looking at the comparable Lumix 1000 with flip screen and longer lens, but it doesn\\'t maintain 2.8 like the Sony which, I heard, gets better bokeh with the built in ND Filter. Still learning the technical aspects of photography. Thanks and Happy Holidays.&lt;/p&gt;'</li>\n",
       "\t<li>'sony &lt;p&gt;I hope Sony try to improve the AF. &lt;br/&gt;and consider lowering the price so more will buy&lt;/p&gt;'</li>\n",
       "\t<li>'sony &lt;p&gt;I\\'m thinking of buying this camera primarily for the video since I own an A77ii for stills. Is there a dedicated video camera for $1300 that is as good as this?&lt;/p&gt;'</li>\n",
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       "\\begin{enumerate*}\n",
       "\\item 'sony <p>Hi DPR,<br/>the original video links are dead, please check...</p>'\n",
       "\\item 'sony <p>Sold American ! lol</p>'\n",
       "\\item 'sony <p>Since I already have the RX100M3, I\\textbackslash{}'ll wait one more year for the DSC-RX10M4 - to leap frog every other year.  It\\textbackslash{}'ll probably have a flip-screen, improved auto focus, longer zoom, touch screen.</p>'\n",
       "\\item 'sony <p>Q: Been looking at the RX10 \\&amp; now the Rx10-II ups it to 4k, etc. Wish the screen flipped 180 for shooting video. (Biological\\_Viewfinder) Curious if you stand by your switch from interchangeable lens cameras to this one. I travel frequently and really don\\textbackslash{}'t want to pack a bag of lenses. (I will primarily use the camera for headshot photography, some travel photography, live events, and would like to shoot a short film with it. I know I\\textbackslash{}'m asking for a Swiss Army Knife of a camera) I used to shoot everything with a small Lumix FZ cam and have a good eye, and am getting hired off those photos, but I need better quality. Am I doing myself a disservice by not getting an interchangeable lens camera? (Also looking at the comparable Lumix 1000 with flip screen and longer lens, but it doesn\\textbackslash{}'t maintain 2.8 like the Sony which, I heard, gets better bokeh with the built in ND Filter. Still learning the technical aspects of photography. Thanks and Happy Holidays.</p>'\n",
       "\\item 'sony <p>I hope Sony try to improve the AF. <br/>and consider lowering the price so more will buy</p>'\n",
       "\\item 'sony <p>I\\textbackslash{}'m thinking of buying this camera primarily for the video since I own an A77ii for stills. Is there a dedicated video camera for \\$1300 that is as good as this?</p>'\n",
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       "1. 'sony &lt;p&gt;Hi DPR,&lt;br/&gt;the original video links are dead, please check...&lt;/p&gt;'\n",
       "2. 'sony &lt;p&gt;Sold American ! lol&lt;/p&gt;'\n",
       "3. <span style=white-space:pre-wrap>'sony &lt;p&gt;Since I already have the RX100M3, I\\'ll wait one more year for the DSC-RX10M4 - to leap frog every other year.  It\\'ll probably have a flip-screen, improved auto focus, longer zoom, touch screen.&lt;/p&gt;'</span>\n",
       "4. 'sony &lt;p&gt;Q: Been looking at the RX10 &amp;amp; now the Rx10-II ups it to 4k, etc. Wish the screen flipped 180 for shooting video. (Biological_Viewfinder) Curious if you stand by your switch from interchangeable lens cameras to this one. I travel frequently and really don\\'t want to pack a bag of lenses. (I will primarily use the camera for headshot photography, some travel photography, live events, and would like to shoot a short film with it. I know I\\'m asking for a Swiss Army Knife of a camera) I used to shoot everything with a small Lumix FZ cam and have a good eye, and am getting hired off those photos, but I need better quality. Am I doing myself a disservice by not getting an interchangeable lens camera? (Also looking at the comparable Lumix 1000 with flip screen and longer lens, but it doesn\\'t maintain 2.8 like the Sony which, I heard, gets better bokeh with the built in ND Filter. Still learning the technical aspects of photography. Thanks and Happy Holidays.&lt;/p&gt;'\n",
       "5. 'sony &lt;p&gt;I hope Sony try to improve the AF. &lt;br/&gt;and consider lowering the price so more will buy&lt;/p&gt;'\n",
       "6. 'sony &lt;p&gt;I\\'m thinking of buying this camera primarily for the video since I own an A77ii for stills. Is there a dedicated video camera for $1300 that is as good as this?&lt;/p&gt;'\n",
       "\n",
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       "[1] \"sony <p>Hi DPR,<br/>the original video links are dead, please check...</p>\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         \n",
       "[2] \"sony <p>Sold American ! lol</p>\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    \n",
       "[3] \"sony <p>Since I already have the RX100M3, I'll wait one more year for the DSC-RX10M4 - to leap frog every other year.  It'll probably have a flip-screen, improved auto focus, longer zoom, touch screen.</p>\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      \n",
       "[4] \"sony <p>Q: Been looking at the RX10 &amp; now the Rx10-II ups it to 4k, etc. Wish the screen flipped 180 for shooting video. (Biological_Viewfinder) Curious if you stand by your switch from interchangeable lens cameras to this one. I travel frequently and really don't want to pack a bag of lenses. (I will primarily use the camera for headshot photography, some travel photography, live events, and would like to shoot a short film with it. I know I'm asking for a Swiss Army Knife of a camera) I used to shoot everything with a small Lumix FZ cam and have a good eye, and am getting hired off those photos, but I need better quality. Am I doing myself a disservice by not getting an interchangeable lens camera? (Also looking at the comparable Lumix 1000 with flip screen and longer lens, but it doesn't maintain 2.8 like the Sony which, I heard, gets better bokeh with the built in ND Filter. Still learning the technical aspects of photography. Thanks and Happy Holidays.</p>\"\n",
       "[5] \"sony <p>I hope Sony try to improve the AF. <br/>and consider lowering the price so more will buy</p>\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               \n",
       "[6] \"sony <p>I'm thinking of buying this camera primarily for the video since I own an A77ii for stills. Is there a dedicated video camera for $1300 that is as good as this?</p>\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       "
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       "'sony pi hope sony try to improve the af brand consider lowering the price so more will buyp'"
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       "'sony pi hope sony try to improve the af brand consider lowering the price so more will buyp'"
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   ],
   "source": [
    "myCorpus[[5]]$content"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message in tm_map.SimpleCorpus(myCorpus, removeNumbers):\n",
      "“transformation drops documents”"
     ]
    }
   ],
   "source": [
    "myCorpus <- tm_map(myCorpus, removeNumbers)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "myStopwords <- c(stopwords(\"english\"), \"available\", \"via\",\"br\",\"p\",'done')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message in tm_map.SimpleCorpus(myCorpus, removeWords, myStopwords):\n",
      "“transformation drops documents”"
     ]
    }
   ],
   "source": [
    "myCorpus <- tm_map(myCorpus, removeWords, myStopwords)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<span style=white-space:pre-wrap>'sony pi hope sony try  improve  af brand consider lowering  price   will buyp'</span>"
      ],
      "text/latex": [
       "'sony pi hope sony try  improve  af brand consider lowering  price   will buyp'"
      ],
      "text/markdown": [
       "<span style=white-space:pre-wrap>'sony pi hope sony try  improve  af brand consider lowering  price   will buyp'</span>"
      ],
      "text/plain": [
       "[1] \"sony pi hope sony try  improve  af brand consider lowering  price   will buyp\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "myCorpus[[5]]$content"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "myCorpusCopy <- myCorpus"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "library('SnowballC')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message in tm_map.SimpleCorpus(myCorpus, stemDocument):\n",
      "“transformation drops documents”"
     ]
    }
   ],
   "source": [
    "myCorpus <- tm_map(myCorpus, stemDocument)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "tdm <- TermDocumentMatrix(myCorpus, control = list(wordLengths = c(1, Inf)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<<TermDocumentMatrix (terms: 35633, documents: 22024)>>\n",
       "Non-/sparse entries: 454221/784326971\n",
       "Sparsity           : 100%\n",
       "Maximal term length: 403\n",
       "Weighting          : term frequency (tf)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tdm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "freq.terms <- findFreqTerms(tdm, lowfreq=1000)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>'soni'</li>\n",
       "\t<li>'video'</li>\n",
       "\t<li>'focus'</li>\n",
       "\t<li>'one'</li>\n",
       "\t<li>'year'</li>\n",
       "\t<li>'also'</li>\n",
       "\t<li>'better'</li>\n",
       "\t<li>'camera'</li>\n",
       "\t<li>'compar'</li>\n",
       "\t<li>'dont'</li>\n",
       "\t<li>'get'</li>\n",
       "\t<li>'good'</li>\n",
       "\t<li>'im'</li>\n",
       "\t<li>'know'</li>\n",
       "\t<li>'len'</li>\n",
       "\t<li>'lens'</li>\n",
       "\t<li>'like'</li>\n",
       "\t<li>'look'</li>\n",
       "\t<li>'need'</li>\n",
       "\t<li>'now'</li>\n",
       "\t<li>'qualiti'</li>\n",
       "\t<li>'realli'</li>\n",
       "\t<li>'shoot'</li>\n",
       "\t<li>'still'</li>\n",
       "\t<li>'use'</li>\n",
       "\t<li>'want'</li>\n",
       "\t<li>'will'</li>\n",
       "\t<li>'pi'</li>\n",
       "\t<li>'price'</li>\n",
       "\t<li>'buy'</li>\n",
       "\t<li>'think'</li>\n",
       "\t<li>'panason'</li>\n",
       "\t<li>'great'</li>\n",
       "\t<li>'say'</li>\n",
       "\t<li>'differ'</li>\n",
       "\t<li>'light'</li>\n",
       "\t<li>'see'</li>\n",
       "\t<li>'sensor'</li>\n",
       "\t<li>'point'</li>\n",
       "\t<li>'time'</li>\n",
       "\t<li>'well'</li>\n",
       "\t<li>'just'</li>\n",
       "\t<li>'much'</li>\n",
       "\t<li>'new'</li>\n",
       "\t<li>'take'</li>\n",
       "\t<li>'can'</li>\n",
       "\t<li>'fuji'</li>\n",
       "\t<li>'make'</li>\n",
       "\t<li>'phone'</li>\n",
       "\t<li>'way'</li>\n",
       "\t<li>'best'</li>\n",
       "\t<li>'canon'</li>\n",
       "\t<li>'imag'</li>\n",
       "\t<li>'mani'</li>\n",
       "\t<li>'nikon'</li>\n",
       "\t<li>'peopl'</li>\n",
       "\t<li>'review'</li>\n",
       "\t<li>'samsung'</li>\n",
       "\t<li>'thing'</li>\n",
       "\t<li>'even'</li>\n",
       "\t<li>'work'</li>\n",
       "\t<li>'olympus'</li>\n",
       "\t<li>'pthe'</li>\n",
       "\t<li>'go'</li>\n",
       "\t<li>'na'</li>\n",
       "\t<li>'sigma'</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 'soni'\n",
       "\\item 'video'\n",
       "\\item 'focus'\n",
       "\\item 'one'\n",
       "\\item 'year'\n",
       "\\item 'also'\n",
       "\\item 'better'\n",
       "\\item 'camera'\n",
       "\\item 'compar'\n",
       "\\item 'dont'\n",
       "\\item 'get'\n",
       "\\item 'good'\n",
       "\\item 'im'\n",
       "\\item 'know'\n",
       "\\item 'len'\n",
       "\\item 'lens'\n",
       "\\item 'like'\n",
       "\\item 'look'\n",
       "\\item 'need'\n",
       "\\item 'now'\n",
       "\\item 'qualiti'\n",
       "\\item 'realli'\n",
       "\\item 'shoot'\n",
       "\\item 'still'\n",
       "\\item 'use'\n",
       "\\item 'want'\n",
       "\\item 'will'\n",
       "\\item 'pi'\n",
       "\\item 'price'\n",
       "\\item 'buy'\n",
       "\\item 'think'\n",
       "\\item 'panason'\n",
       "\\item 'great'\n",
       "\\item 'say'\n",
       "\\item 'differ'\n",
       "\\item 'light'\n",
       "\\item 'see'\n",
       "\\item 'sensor'\n",
       "\\item 'point'\n",
       "\\item 'time'\n",
       "\\item 'well'\n",
       "\\item 'just'\n",
       "\\item 'much'\n",
       "\\item 'new'\n",
       "\\item 'take'\n",
       "\\item 'can'\n",
       "\\item 'fuji'\n",
       "\\item 'make'\n",
       "\\item 'phone'\n",
       "\\item 'way'\n",
       "\\item 'best'\n",
       "\\item 'canon'\n",
       "\\item 'imag'\n",
       "\\item 'mani'\n",
       "\\item 'nikon'\n",
       "\\item 'peopl'\n",
       "\\item 'review'\n",
       "\\item 'samsung'\n",
       "\\item 'thing'\n",
       "\\item 'even'\n",
       "\\item 'work'\n",
       "\\item 'olympus'\n",
       "\\item 'pthe'\n",
       "\\item 'go'\n",
       "\\item 'na'\n",
       "\\item 'sigma'\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 'soni'\n",
       "2. 'video'\n",
       "3. 'focus'\n",
       "4. 'one'\n",
       "5. 'year'\n",
       "6. 'also'\n",
       "7. 'better'\n",
       "8. 'camera'\n",
       "9. 'compar'\n",
       "10. 'dont'\n",
       "11. 'get'\n",
       "12. 'good'\n",
       "13. 'im'\n",
       "14. 'know'\n",
       "15. 'len'\n",
       "16. 'lens'\n",
       "17. 'like'\n",
       "18. 'look'\n",
       "19. 'need'\n",
       "20. 'now'\n",
       "21. 'qualiti'\n",
       "22. 'realli'\n",
       "23. 'shoot'\n",
       "24. 'still'\n",
       "25. 'use'\n",
       "26. 'want'\n",
       "27. 'will'\n",
       "28. 'pi'\n",
       "29. 'price'\n",
       "30. 'buy'\n",
       "31. 'think'\n",
       "32. 'panason'\n",
       "33. 'great'\n",
       "34. 'say'\n",
       "35. 'differ'\n",
       "36. 'light'\n",
       "37. 'see'\n",
       "38. 'sensor'\n",
       "39. 'point'\n",
       "40. 'time'\n",
       "41. 'well'\n",
       "42. 'just'\n",
       "43. 'much'\n",
       "44. 'new'\n",
       "45. 'take'\n",
       "46. 'can'\n",
       "47. 'fuji'\n",
       "48. 'make'\n",
       "49. 'phone'\n",
       "50. 'way'\n",
       "51. 'best'\n",
       "52. 'canon'\n",
       "53. 'imag'\n",
       "54. 'mani'\n",
       "55. 'nikon'\n",
       "56. 'peopl'\n",
       "57. 'review'\n",
       "58. 'samsung'\n",
       "59. 'thing'\n",
       "60. 'even'\n",
       "61. 'work'\n",
       "62. 'olympus'\n",
       "63. 'pthe'\n",
       "64. 'go'\n",
       "65. 'na'\n",
       "66. 'sigma'\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       " [1] \"soni\"    \"video\"   \"focus\"   \"one\"     \"year\"    \"also\"    \"better\" \n",
       " [8] \"camera\"  \"compar\"  \"dont\"    \"get\"     \"good\"    \"im\"      \"know\"   \n",
       "[15] \"len\"     \"lens\"    \"like\"    \"look\"    \"need\"    \"now\"     \"qualiti\"\n",
       "[22] \"realli\"  \"shoot\"   \"still\"   \"use\"     \"want\"    \"will\"    \"pi\"     \n",
       "[29] \"price\"   \"buy\"     \"think\"   \"panason\" \"great\"   \"say\"     \"differ\" \n",
       "[36] \"light\"   \"see\"     \"sensor\"  \"point\"   \"time\"    \"well\"    \"just\"   \n",
       "[43] \"much\"    \"new\"     \"take\"    \"can\"     \"fuji\"    \"make\"    \"phone\"  \n",
       "[50] \"way\"     \"best\"    \"canon\"   \"imag\"    \"mani\"    \"nikon\"   \"peopl\"  \n",
       "[57] \"review\"  \"samsung\" \"thing\"   \"even\"    \"work\"    \"olympus\" \"pthe\"   \n",
       "[64] \"go\"      \"na\"      \"sigma\"  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "freq.terms"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<<TermDocumentMatrix (terms: 31, documents: 30)>>\n",
      "Non-/sparse entries: 0/930\n",
      "Sparsity           : 100%\n",
      "Maximal term length: 15\n",
      "Weighting          : term frequency (tf)\n",
      "Sample             :\n",
      "                 Docs\n",
      "Terms             101 102 103 104 105 106 107 108 109 110 111 112 113 114 115\n",
      "  r                 0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  recreat           0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  wellp             0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  backlit           0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  ca                0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  characteristicp   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  commend           0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  deserv            0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  fring             0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  highcontrast      0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  laughit           0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  longitudin        0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  occasion          0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  warrant           0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  50                0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  benchmark         0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  corner            0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  crazi             0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  eoszinep          0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  rf                0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  silver            0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  translat          0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  vignet            0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  14                0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  160               0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  consum            0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  fiesta            0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  ford              0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  morep             0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  mph               0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  plol              0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "                 Docs\n",
      "Terms             116 117 118 119 120 121 122 123 124 125 126 127 128 129 130\n",
      "  r                 0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  recreat           0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  wellp             0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  backlit           0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  ca                0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  characteristicp   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  commend           0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  deserv            0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  fring             0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  highcontrast      0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  laughit           0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  longitudin        0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  occasion          0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  warrant           0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  50                0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  benchmark         0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  corner            0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  crazi             0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  eoszinep          0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  rf                0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  silver            0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  translat          0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  vignet            0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  14                0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  160               0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  consum            0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  fiesta            0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  ford              0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  morep             0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  mph               0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n",
      "  plol              0   0   0   0   0   0   0   0   0   0   0   0   0   0   0\n"
     ]
    }
   ],
   "source": [
    "idx <- which(dimnames(tdm)$Terms == \"r\")\n",
    "inspect(tdm[idx + (0:30), 101:130])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "tdm2 <- removeSparseTerms(tdm, sparse = 0.99)\n",
    "m2 <- as.matrix(tdm2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "tdm.tfidf <- tm::weightTfIdf(tdm2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [],
   "source": [
    "#tdm.tfidf <- tm::removeSparseTerms(tdm.tfidf, 0.999) \n",
    "tfidf.matrix <- as.matrix(tdm2) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [],
   "source": [
    "dist.matrix = proxy::dist(m2, method = \"cosine\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Clustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 149,
   "metadata": {},
   "outputs": [],
   "source": [
    "clustering.kmeans <- kmeans(tdm2, 12) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 150,
   "metadata": {},
   "outputs": [],
   "source": [
    "cluster <- clustering.kmeans$cluster"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 151,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<dl class=dl-horizontal>\n",
       "\t<dt>pleas</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>soni</dt>\n",
       "\t\t<dd>5</dd>\n",
       "\t<dt>video</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>alreadi</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>everi</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>focus</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>ill</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>improv</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>one</dt>\n",
       "\t\t<dd>11</dd>\n",
       "\t<dt>probabl</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>wait</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>year</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>zoom</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>4k</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>also</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>amp</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>bag</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>better</dt>\n",
       "\t\t<dd>11</dd>\n",
       "\t<dt>camera</dt>\n",
       "\t\t<dd>2</dd>\n",
       "\t<dt>compar</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>doesnt</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>dont</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>etc</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>everyth</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>eye</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>get</dt>\n",
       "\t\t<dd>11</dd>\n",
       "\t<dt>good</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>happi</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>im</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>know</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>len</dt>\n",
       "\t\t<dd>9</dd>\n",
       "\t<dt>lens</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>like</dt>\n",
       "\t\t<dd>7</dd>\n",
       "\t<dt>live</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>look</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>need</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>now</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>photo</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>photographi</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>qualiti</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>realli</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>screen</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>shoot</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>small</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>still</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>thank</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>travel</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>use</dt>\n",
       "\t\t<dd>6</dd>\n",
       "\t<dt>want</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>will</dt>\n",
       "\t\t<dd>11</dd>\n",
       "\t<dt>wish</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>af</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>brand</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>consid</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>hope</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>lower</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>pi</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>price</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>tri</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>buy</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>pim</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>sinc</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>think</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>expens</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>got</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>ive</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>panason</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>around</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>choic</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>great</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>love</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>photograph</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>purchas</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>say</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>serious</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>sure</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>talk</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>that</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>cant</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>list</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>mode</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>100</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>apertur</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>appl</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>correct</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>cours</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>didnt</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>differ</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>dpr</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>exact</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>far</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>focal</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>full</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>give</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>id</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>ii</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>light</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>may</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>noth</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>possibl</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>quick</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>raw</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>result</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>rx100</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>sampl</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>see</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>sensor</dt>\n",
       "\t\t<dd>1</dd>\n",
       "\t<dt>sharp</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>shot</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>similar</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>size</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>someon</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>studio</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>test</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>tripod</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>two</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>ago</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>apsc</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>back</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>come</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>f28</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>first</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>itp</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>kind</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>point</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>quit</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>time</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>well</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>profession</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>pthis</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>1</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>actual</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>bit</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>bought</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>day</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>just</dt>\n",
       "\t\t<dd>11</dd>\n",
       "\t<dt>mean</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>much</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>must</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>new</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>offer</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>perform</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>fast</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>import</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>keep</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>manufactur</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>speed</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>take</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>can</dt>\n",
       "\t\t<dd>11</dd>\n",
       "\t<dt>fact</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>fuji</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>less</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>make</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>matter</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>mirrorless</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>month</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>nice</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>phone</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>rang</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>smaller</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>tell</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>way</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>anyth</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>right</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>someth</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>best</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>canon</dt>\n",
       "\t\t<dd>12</dd>\n",
       "\t<dt>compact</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>devic</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>digit</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>imag</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>iphon</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>leica</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>lot</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>mani</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>nikon</dt>\n",
       "\t\t<dd>8</dd>\n",
       "\t<dt>opinion</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>pentax</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>pictur</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>without</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>world</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>equival</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>old</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>resolut</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>show</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>iq</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>real</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>dpreview</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>dslr</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>howev</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>never</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>other</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>peopl</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>rate</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>review</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>seem</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>higher</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>vs</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>camerap</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>file</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>updat</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>samsung</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>second</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>set</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>current</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>limit</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>optic</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>pro</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>shutter</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>thing</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>model</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>add</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>even</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>excel</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>featur</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>ff</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>frame</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>hand</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>made</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>releas</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>understand</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>card</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>might</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>taken</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>upgrad</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>2</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>control</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>system</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>turn</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>big</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>build</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>cost</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>littl</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>mention</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>reason</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>work</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>gear</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>high</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>alway</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>color</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>comment</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>jpeg</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>olympus</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>part</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>evf</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>long</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>move</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>pa</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>put</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>pit</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>mayb</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>us</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>call</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>anyon</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>rather</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>easi</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>level</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>market</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>question</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>there</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>weight</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>wrong</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>agre</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>pthe</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>a6000</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>go</dt>\n",
       "\t\t<dd>4</dd>\n",
       "\t<dt>said</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>seen</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>simpli</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>wont</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>experi</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>issu</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>stop</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>especi</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>exposur</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>pno</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>though</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>top</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>almost</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>certain</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>enough</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>feel</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>find</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>interest</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>least</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>next</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>number</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>problem</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>main</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>4</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>anoth</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>version</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>product</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>crop</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>chang</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>perfect</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>view</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>yes</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>pixel</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>iso</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>bodi</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>care</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>end</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>let</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>lack</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>money</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>option</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>wide</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>case</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>yet</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>fit</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>mount</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>hard</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>viewfind</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>design</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>abl</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>batteri</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>includ</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>manual</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>clear</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>comparison</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>flash</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>pwhi</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>detail</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>obvious</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>3</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>post</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>nois</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>guess</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>larger</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>read</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>expect</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>either</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>fix</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>poor</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>wonder</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>plus</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>pretti</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>start</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>thought</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>replac</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>amaz</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>pocket</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>isnt</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>prime</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>carri</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>ever</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>bad</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>line</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>term</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>total</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>low</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>believ</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>kit</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>articl</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>larg</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>seri</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>base</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>capabl</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>sell</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>na</dt>\n",
       "\t\t<dd>3</dd>\n",
       "\t<dt>nokia</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>pyou</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>subject</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>last</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>sigma</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>true</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>found</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>close</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>pif</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>fine</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>app</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>els</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>pwhat</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>instead</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>smartphon</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>5</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>often</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>person</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>user</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>definit</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>produc</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>miss</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>life</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>prefer</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>cheap</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>glass</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>valu</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>process</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>help</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>your</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>handl</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>support</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>check</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>hold</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>format</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>pthank</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>m43</dt>\n",
       "\t\t<dd>10</dd>\n",
       "\t<dt>kodak</dt>\n",
       "\t\t<dd>10</dd>\n",
       "</dl>\n"
      ],
      "text/latex": [
       "\\begin{description*}\n",
       "\\item[pleas] 10\n",
       "\\item[soni] 5\n",
       "\\item[video] 4\n",
       "\\item[alreadi] 10\n",
       "\\item[everi] 10\n",
       "\\item[focus] 4\n",
       "\\item[ill] 10\n",
       "\\item[improv] 10\n",
       "\\item[one] 11\n",
       "\\item[probabl] 10\n",
       "\\item[wait] 10\n",
       "\\item[year] 10\n",
       "\\item[zoom] 10\n",
       "\\item[4k] 10\n",
       "\\item[also] 4\n",
       "\\item[amp] 10\n",
       "\\item[bag] 10\n",
       "\\item[better] 11\n",
       "\\item[camera] 2\n",
       "\\item[compar] 10\n",
       "\\item[doesnt] 10\n",
       "\\item[dont] 4\n",
       "\\item[etc] 10\n",
       "\\item[everyth] 10\n",
       "\\item[eye] 10\n",
       "\\item[get] 11\n",
       "\\item[good] 4\n",
       "\\item[happi] 10\n",
       "\\item[im] 4\n",
       "\\item[know] 4\n",
       "\\item[len] 9\n",
       "\\item[lens] 4\n",
       "\\item[like] 7\n",
       "\\item[live] 10\n",
       "\\item[look] 4\n",
       "\\item[need] 4\n",
       "\\item[now] 4\n",
       "\\item[photo] 4\n",
       "\\item[photographi] 10\n",
       "\\item[qualiti] 4\n",
       "\\item[realli] 4\n",
       "\\item[screen] 10\n",
       "\\item[shoot] 4\n",
       "\\item[small] 10\n",
       "\\item[still] 4\n",
       "\\item[thank] 10\n",
       "\\item[travel] 10\n",
       "\\item[use] 6\n",
       "\\item[want] 4\n",
       "\\item[will] 11\n",
       "\\item[wish] 10\n",
       "\\item[af] 4\n",
       "\\item[brand] 10\n",
       "\\item[consid] 10\n",
       "\\item[hope] 10\n",
       "\\item[lower] 10\n",
       "\\item[pi] 4\n",
       "\\item[price] 4\n",
       "\\item[tri] 10\n",
       "\\item[buy] 4\n",
       "\\item[pim] 10\n",
       "\\item[sinc] 10\n",
       "\\item[think] 4\n",
       "\\item[expens] 10\n",
       "\\item[got] 10\n",
       "\\item[ive] 10\n",
       "\\item[panason] 4\n",
       "\\item[around] 10\n",
       "\\item[choic] 10\n",
       "\\item[great] 4\n",
       "\\item[love] 10\n",
       "\\item[photograph] 10\n",
       "\\item[purchas] 10\n",
       "\\item[say] 4\n",
       "\\item[serious] 10\n",
       "\\item[sure] 10\n",
       "\\item[talk] 10\n",
       "\\item[that] 10\n",
       "\\item[cant] 10\n",
       "\\item[list] 10\n",
       "\\item[mode] 10\n",
       "\\item[100] 10\n",
       "\\item[apertur] 10\n",
       "\\item[appl] 10\n",
       "\\item[correct] 10\n",
       "\\item[cours] 10\n",
       "\\item[didnt] 10\n",
       "\\item[differ] 4\n",
       "\\item[dpr] 10\n",
       "\\item[exact] 10\n",
       "\\item[far] 10\n",
       "\\item[focal] 10\n",
       "\\item[full] 10\n",
       "\\item[give] 10\n",
       "\\item[id] 10\n",
       "\\item[ii] 10\n",
       "\\item[light] 4\n",
       "\\item[may] 10\n",
       "\\item[noth] 10\n",
       "\\item[possibl] 10\n",
       "\\item[quick] 10\n",
       "\\item[raw] 10\n",
       "\\item[result] 10\n",
       "\\item[rx100] 10\n",
       "\\item[sampl] 10\n",
       "\\item[see] 4\n",
       "\\item[sensor] 1\n",
       "\\item[sharp] 10\n",
       "\\item[shot] 4\n",
       "\\item[similar] 10\n",
       "\\item[size] 10\n",
       "\\item[someon] 10\n",
       "\\item[studio] 10\n",
       "\\item[test] 10\n",
       "\\item[tripod] 10\n",
       "\\item[two] 10\n",
       "\\item[ago] 10\n",
       "\\item[apsc] 10\n",
       "\\item[back] 10\n",
       "\\item[come] 10\n",
       "\\item[f28] 10\n",
       "\\item[first] 10\n",
       "\\item[itp] 10\n",
       "\\item[kind] 10\n",
       "\\item[point] 4\n",
       "\\item[quit] 10\n",
       "\\item[time] 4\n",
       "\\item[well] 4\n",
       "\\item[profession] 10\n",
       "\\item[pthis] 10\n",
       "\\item[1] 10\n",
       "\\item[actual] 10\n",
       "\\item[bit] 10\n",
       "\\item[bought] 10\n",
       "\\item[day] 10\n",
       "\\item[just] 11\n",
       "\\item[mean] 10\n",
       "\\item[much] 4\n",
       "\\item[must] 10\n",
       "\\item[new] 10\n",
       "\\item[offer] 10\n",
       "\\item[perform] 10\n",
       "\\item[fast] 10\n",
       "\\item[import] 10\n",
       "\\item[keep] 10\n",
       "\\item[manufactur] 10\n",
       "\\item[speed] 10\n",
       "\\item[take] 4\n",
       "\\item[can] 11\n",
       "\\item[fact] 10\n",
       "\\item[fuji] 4\n",
       "\\item[less] 10\n",
       "\\item[make] 4\n",
       "\\item[matter] 10\n",
       "\\item[mirrorless] 10\n",
       "\\item[month] 10\n",
       "\\item[nice] 10\n",
       "\\item[phone] 4\n",
       "\\item[rang] 10\n",
       "\\item[smaller] 10\n",
       "\\item[tell] 10\n",
       "\\item[way] 4\n",
       "\\item[anyth] 10\n",
       "\\item[right] 10\n",
       "\\item[someth] 10\n",
       "\\item[best] 10\n",
       "\\item[canon] 12\n",
       "\\item[compact] 10\n",
       "\\item[devic] 10\n",
       "\\item[digit] 10\n",
       "\\item[imag] 4\n",
       "\\item[iphon] 10\n",
       "\\item[leica] 10\n",
       "\\item[lot] 10\n",
       "\\item[mani] 4\n",
       "\\item[nikon] 8\n",
       "\\item[opinion] 10\n",
       "\\item[pentax] 10\n",
       "\\item[pictur] 10\n",
       "\\item[without] 10\n",
       "\\item[world] 10\n",
       "\\item[equival] 10\n",
       "\\item[old] 10\n",
       "\\item[resolut] 10\n",
       "\\item[show] 10\n",
       "\\item[iq] 10\n",
       "\\item[real] 10\n",
       "\\item[dpreview] 10\n",
       "\\item[dslr] 10\n",
       "\\item[howev] 10\n",
       "\\item[never] 10\n",
       "\\item[other] 10\n",
       "\\item[peopl] 4\n",
       "\\item[rate] 10\n",
       "\\item[review] 4\n",
       "\\item[seem] 10\n",
       "\\item[higher] 10\n",
       "\\item[vs] 10\n",
       "\\item[camerap] 10\n",
       "\\item[file] 10\n",
       "\\item[updat] 10\n",
       "\\item[samsung] 10\n",
       "\\item[second] 10\n",
       "\\item[set] 10\n",
       "\\item[current] 10\n",
       "\\item[limit] 10\n",
       "\\item[optic] 10\n",
       "\\item[pro] 10\n",
       "\\item[shutter] 10\n",
       "\\item[thing] 4\n",
       "\\item[model] 10\n",
       "\\item[add] 10\n",
       "\\item[even] 4\n",
       "\\item[excel] 10\n",
       "\\item[featur] 10\n",
       "\\item[ff] 10\n",
       "\\item[frame] 10\n",
       "\\item[hand] 10\n",
       "\\item[made] 10\n",
       "\\item[releas] 10\n",
       "\\item[understand] 10\n",
       "\\item[card] 10\n",
       "\\item[might] 10\n",
       "\\item[taken] 10\n",
       "\\item[upgrad] 10\n",
       "\\item[2] 10\n",
       "\\item[control] 10\n",
       "\\item[system] 10\n",
       "\\item[turn] 10\n",
       "\\item[big] 10\n",
       "\\item[build] 10\n",
       "\\item[cost] 10\n",
       "\\item[littl] 10\n",
       "\\item[mention] 10\n",
       "\\item[reason] 10\n",
       "\\item[work] 4\n",
       "\\item[gear] 10\n",
       "\\item[high] 10\n",
       "\\item[alway] 10\n",
       "\\item[color] 10\n",
       "\\item[comment] 10\n",
       "\\item[jpeg] 10\n",
       "\\item[olympus] 4\n",
       "\\item[part] 10\n",
       "\\item[evf] 10\n",
       "\\item[long] 10\n",
       "\\item[move] 10\n",
       "\\item[pa] 10\n",
       "\\item[put] 10\n",
       "\\item[pit] 10\n",
       "\\item[mayb] 10\n",
       "\\item[us] 10\n",
       "\\item[call] 10\n",
       "\\item[anyon] 10\n",
       "\\item[rather] 10\n",
       "\\item[easi] 10\n",
       "\\item[level] 10\n",
       "\\item[market] 10\n",
       "\\item[question] 10\n",
       "\\item[there] 10\n",
       "\\item[weight] 10\n",
       "\\item[wrong] 10\n",
       "\\item[agre] 10\n",
       "\\item[pthe] 10\n",
       "\\item[a6000] 10\n",
       "\\item[go] 4\n",
       "\\item[said] 10\n",
       "\\item[seen] 10\n",
       "\\item[simpli] 10\n",
       "\\item[wont] 10\n",
       "\\item[experi] 10\n",
       "\\item[issu] 10\n",
       "\\item[stop] 10\n",
       "\\item[especi] 10\n",
       "\\item[exposur] 10\n",
       "\\item[pno] 10\n",
       "\\item[though] 10\n",
       "\\item[top] 10\n",
       "\\item[almost] 10\n",
       "\\item[certain] 10\n",
       "\\item[enough] 10\n",
       "\\item[feel] 10\n",
       "\\item[find] 10\n",
       "\\item[interest] 10\n",
       "\\item[least] 10\n",
       "\\item[next] 10\n",
       "\\item[number] 10\n",
       "\\item[problem] 10\n",
       "\\item[main] 10\n",
       "\\item[4] 10\n",
       "\\item[anoth] 10\n",
       "\\item[version] 10\n",
       "\\item[product] 10\n",
       "\\item[crop] 10\n",
       "\\item[chang] 10\n",
       "\\item[perfect] 10\n",
       "\\item[view] 10\n",
       "\\item[yes] 10\n",
       "\\item[pixel] 10\n",
       "\\item[iso] 10\n",
       "\\item[bodi] 10\n",
       "\\item[care] 10\n",
       "\\item[end] 10\n",
       "\\item[let] 10\n",
       "\\item[lack] 10\n",
       "\\item[money] 10\n",
       "\\item[option] 10\n",
       "\\item[wide] 10\n",
       "\\item[case] 10\n",
       "\\item[yet] 10\n",
       "\\item[fit] 10\n",
       "\\item[mount] 10\n",
       "\\item[hard] 10\n",
       "\\item[viewfind] 10\n",
       "\\item[design] 10\n",
       "\\item[abl] 10\n",
       "\\item[batteri] 10\n",
       "\\item[includ] 10\n",
       "\\item[manual] 10\n",
       "\\item[clear] 10\n",
       "\\item[comparison] 10\n",
       "\\item[flash] 10\n",
       "\\item[pwhi] 10\n",
       "\\item[detail] 10\n",
       "\\item[obvious] 10\n",
       "\\item[3] 10\n",
       "\\item[post] 10\n",
       "\\item[nois] 10\n",
       "\\item[guess] 10\n",
       "\\item[larger] 10\n",
       "\\item[read] 10\n",
       "\\item[expect] 10\n",
       "\\item[either] 10\n",
       "\\item[fix] 10\n",
       "\\item[poor] 10\n",
       "\\item[wonder] 10\n",
       "\\item[plus] 10\n",
       "\\item[pretti] 10\n",
       "\\item[start] 10\n",
       "\\item[thought] 10\n",
       "\\item[replac] 10\n",
       "\\item[amaz] 10\n",
       "\\item[pocket] 10\n",
       "\\item[isnt] 10\n",
       "\\item[prime] 10\n",
       "\\item[carri] 10\n",
       "\\item[ever] 10\n",
       "\\item[bad] 10\n",
       "\\item[line] 10\n",
       "\\item[term] 10\n",
       "\\item[total] 10\n",
       "\\item[low] 10\n",
       "\\item[believ] 10\n",
       "\\item[kit] 10\n",
       "\\item[articl] 10\n",
       "\\item[larg] 10\n",
       "\\item[seri] 10\n",
       "\\item[base] 10\n",
       "\\item[capabl] 10\n",
       "\\item[sell] 10\n",
       "\\item[na] 3\n",
       "\\item[nokia] 10\n",
       "\\item[pyou] 10\n",
       "\\item[subject] 10\n",
       "\\item[last] 10\n",
       "\\item[sigma] 10\n",
       "\\item[true] 10\n",
       "\\item[found] 10\n",
       "\\item[close] 10\n",
       "\\item[pif] 10\n",
       "\\item[fine] 10\n",
       "\\item[app] 10\n",
       "\\item[els] 10\n",
       "\\item[pwhat] 10\n",
       "\\item[instead] 10\n",
       "\\item[smartphon] 10\n",
       "\\item[5] 10\n",
       "\\item[often] 10\n",
       "\\item[person] 10\n",
       "\\item[user] 10\n",
       "\\item[definit] 10\n",
       "\\item[produc] 10\n",
       "\\item[miss] 10\n",
       "\\item[life] 10\n",
       "\\item[prefer] 10\n",
       "\\item[cheap] 10\n",
       "\\item[glass] 10\n",
       "\\item[valu] 10\n",
       "\\item[process] 10\n",
       "\\item[help] 10\n",
       "\\item[your] 10\n",
       "\\item[handl] 10\n",
       "\\item[support] 10\n",
       "\\item[check] 10\n",
       "\\item[hold] 10\n",
       "\\item[format] 10\n",
       "\\item[pthank] 10\n",
       "\\item[m43] 10\n",
       "\\item[kodak] 10\n",
       "\\end{description*}\n"
      ],
      "text/markdown": [
       "pleas\n",
       ":   10soni\n",
       ":   5video\n",
       ":   4alreadi\n",
       ":   10everi\n",
       ":   10focus\n",
       ":   4ill\n",
       ":   10improv\n",
       ":   10one\n",
       ":   11probabl\n",
       ":   10wait\n",
       ":   10year\n",
       ":   10zoom\n",
       ":   104k\n",
       ":   10also\n",
       ":   4amp\n",
       ":   10bag\n",
       ":   10better\n",
       ":   11camera\n",
       ":   2compar\n",
       ":   10doesnt\n",
       ":   10dont\n",
       ":   4etc\n",
       ":   10everyth\n",
       ":   10eye\n",
       ":   10get\n",
       ":   11good\n",
       ":   4happi\n",
       ":   10im\n",
       ":   4know\n",
       ":   4len\n",
       ":   9lens\n",
       ":   4like\n",
       ":   7live\n",
       ":   10look\n",
       ":   4need\n",
       ":   4now\n",
       ":   4photo\n",
       ":   4photographi\n",
       ":   10qualiti\n",
       ":   4realli\n",
       ":   4screen\n",
       ":   10shoot\n",
       ":   4small\n",
       ":   10still\n",
       ":   4thank\n",
       ":   10travel\n",
       ":   10use\n",
       ":   6want\n",
       ":   4will\n",
       ":   11wish\n",
       ":   10af\n",
       ":   4brand\n",
       ":   10consid\n",
       ":   10hope\n",
       ":   10lower\n",
       ":   10pi\n",
       ":   4price\n",
       ":   4tri\n",
       ":   10buy\n",
       ":   4pim\n",
       ":   10sinc\n",
       ":   10think\n",
       ":   4expens\n",
       ":   10got\n",
       ":   10ive\n",
       ":   10panason\n",
       ":   4around\n",
       ":   10choic\n",
       ":   10great\n",
       ":   4love\n",
       ":   10photograph\n",
       ":   10purchas\n",
       ":   10say\n",
       ":   4serious\n",
       ":   10sure\n",
       ":   10talk\n",
       ":   10that\n",
       ":   10cant\n",
       ":   10list\n",
       ":   10mode\n",
       ":   10100\n",
       ":   10apertur\n",
       ":   10appl\n",
       ":   10correct\n",
       ":   10cours\n",
       ":   10didnt\n",
       ":   10differ\n",
       ":   4dpr\n",
       ":   10exact\n",
       ":   10far\n",
       ":   10focal\n",
       ":   10full\n",
       ":   10give\n",
       ":   10id\n",
       ":   10ii\n",
       ":   10light\n",
       ":   4may\n",
       ":   10noth\n",
       ":   10possibl\n",
       ":   10quick\n",
       ":   10raw\n",
       ":   10result\n",
       ":   10rx100\n",
       ":   10sampl\n",
       ":   10see\n",
       ":   4sensor\n",
       ":   1sharp\n",
       ":   10shot\n",
       ":   4similar\n",
       ":   10size\n",
       ":   10someon\n",
       ":   10studio\n",
       ":   10test\n",
       ":   10tripod\n",
       ":   10two\n",
       ":   10ago\n",
       ":   10apsc\n",
       ":   10back\n",
       ":   10come\n",
       ":   10f28\n",
       ":   10first\n",
       ":   10itp\n",
       ":   10kind\n",
       ":   10point\n",
       ":   4quit\n",
       ":   10time\n",
       ":   4well\n",
       ":   4profession\n",
       ":   10pthis\n",
       ":   101\n",
       ":   10actual\n",
       ":   10bit\n",
       ":   10bought\n",
       ":   10day\n",
       ":   10just\n",
       ":   11mean\n",
       ":   10much\n",
       ":   4must\n",
       ":   10new\n",
       ":   10offer\n",
       ":   10perform\n",
       ":   10fast\n",
       ":   10import\n",
       ":   10keep\n",
       ":   10manufactur\n",
       ":   10speed\n",
       ":   10take\n",
       ":   4can\n",
       ":   11fact\n",
       ":   10fuji\n",
       ":   4less\n",
       ":   10make\n",
       ":   4matter\n",
       ":   10mirrorless\n",
       ":   10month\n",
       ":   10nice\n",
       ":   10phone\n",
       ":   4rang\n",
       ":   10smaller\n",
       ":   10tell\n",
       ":   10way\n",
       ":   4anyth\n",
       ":   10right\n",
       ":   10someth\n",
       ":   10best\n",
       ":   10canon\n",
       ":   12compact\n",
       ":   10devic\n",
       ":   10digit\n",
       ":   10imag\n",
       ":   4iphon\n",
       ":   10leica\n",
       ":   10lot\n",
       ":   10mani\n",
       ":   4nikon\n",
       ":   8opinion\n",
       ":   10pentax\n",
       ":   10pictur\n",
       ":   10without\n",
       ":   10world\n",
       ":   10equival\n",
       ":   10old\n",
       ":   10resolut\n",
       ":   10show\n",
       ":   10iq\n",
       ":   10real\n",
       ":   10dpreview\n",
       ":   10dslr\n",
       ":   10howev\n",
       ":   10never\n",
       ":   10other\n",
       ":   10peopl\n",
       ":   4rate\n",
       ":   10review\n",
       ":   4seem\n",
       ":   10higher\n",
       ":   10vs\n",
       ":   10camerap\n",
       ":   10file\n",
       ":   10updat\n",
       ":   10samsung\n",
       ":   10second\n",
       ":   10set\n",
       ":   10current\n",
       ":   10limit\n",
       ":   10optic\n",
       ":   10pro\n",
       ":   10shutter\n",
       ":   10thing\n",
       ":   4model\n",
       ":   10add\n",
       ":   10even\n",
       ":   4excel\n",
       ":   10featur\n",
       ":   10ff\n",
       ":   10frame\n",
       ":   10hand\n",
       ":   10made\n",
       ":   10releas\n",
       ":   10understand\n",
       ":   10card\n",
       ":   10might\n",
       ":   10taken\n",
       ":   10upgrad\n",
       ":   102\n",
       ":   10control\n",
       ":   10system\n",
       ":   10turn\n",
       ":   10big\n",
       ":   10build\n",
       ":   10cost\n",
       ":   10littl\n",
       ":   10mention\n",
       ":   10reason\n",
       ":   10work\n",
       ":   4gear\n",
       ":   10high\n",
       ":   10alway\n",
       ":   10color\n",
       ":   10comment\n",
       ":   10jpeg\n",
       ":   10olympus\n",
       ":   4part\n",
       ":   10evf\n",
       ":   10long\n",
       ":   10move\n",
       ":   10pa\n",
       ":   10put\n",
       ":   10pit\n",
       ":   10mayb\n",
       ":   10us\n",
       ":   10call\n",
       ":   10anyon\n",
       ":   10rather\n",
       ":   10easi\n",
       ":   10level\n",
       ":   10market\n",
       ":   10question\n",
       ":   10there\n",
       ":   10weight\n",
       ":   10wrong\n",
       ":   10agre\n",
       ":   10pthe\n",
       ":   10a6000\n",
       ":   10go\n",
       ":   4said\n",
       ":   10seen\n",
       ":   10simpli\n",
       ":   10wont\n",
       ":   10experi\n",
       ":   10issu\n",
       ":   10stop\n",
       ":   10especi\n",
       ":   10exposur\n",
       ":   10pno\n",
       ":   10though\n",
       ":   10top\n",
       ":   10almost\n",
       ":   10certain\n",
       ":   10enough\n",
       ":   10feel\n",
       ":   10find\n",
       ":   10interest\n",
       ":   10least\n",
       ":   10next\n",
       ":   10number\n",
       ":   10problem\n",
       ":   10main\n",
       ":   104\n",
       ":   10anoth\n",
       ":   10version\n",
       ":   10product\n",
       ":   10crop\n",
       ":   10chang\n",
       ":   10perfect\n",
       ":   10view\n",
       ":   10yes\n",
       ":   10pixel\n",
       ":   10iso\n",
       ":   10bodi\n",
       ":   10care\n",
       ":   10end\n",
       ":   10let\n",
       ":   10lack\n",
       ":   10money\n",
       ":   10option\n",
       ":   10wide\n",
       ":   10case\n",
       ":   10yet\n",
       ":   10fit\n",
       ":   10mount\n",
       ":   10hard\n",
       ":   10viewfind\n",
       ":   10design\n",
       ":   10abl\n",
       ":   10batteri\n",
       ":   10includ\n",
       ":   10manual\n",
       ":   10clear\n",
       ":   10comparison\n",
       ":   10flash\n",
       ":   10pwhi\n",
       ":   10detail\n",
       ":   10obvious\n",
       ":   103\n",
       ":   10post\n",
       ":   10nois\n",
       ":   10guess\n",
       ":   10larger\n",
       ":   10read\n",
       ":   10expect\n",
       ":   10either\n",
       ":   10fix\n",
       ":   10poor\n",
       ":   10wonder\n",
       ":   10plus\n",
       ":   10pretti\n",
       ":   10start\n",
       ":   10thought\n",
       ":   10replac\n",
       ":   10amaz\n",
       ":   10pocket\n",
       ":   10isnt\n",
       ":   10prime\n",
       ":   10carri\n",
       ":   10ever\n",
       ":   10bad\n",
       ":   10line\n",
       ":   10term\n",
       ":   10total\n",
       ":   10low\n",
       ":   10believ\n",
       ":   10kit\n",
       ":   10articl\n",
       ":   10larg\n",
       ":   10seri\n",
       ":   10base\n",
       ":   10capabl\n",
       ":   10sell\n",
       ":   10na\n",
       ":   3nokia\n",
       ":   10pyou\n",
       ":   10subject\n",
       ":   10last\n",
       ":   10sigma\n",
       ":   10true\n",
       ":   10found\n",
       ":   10close\n",
       ":   10pif\n",
       ":   10fine\n",
       ":   10app\n",
       ":   10els\n",
       ":   10pwhat\n",
       ":   10instead\n",
       ":   10smartphon\n",
       ":   105\n",
       ":   10often\n",
       ":   10person\n",
       ":   10user\n",
       ":   10definit\n",
       ":   10produc\n",
       ":   10miss\n",
       ":   10life\n",
       ":   10prefer\n",
       ":   10cheap\n",
       ":   10glass\n",
       ":   10valu\n",
       ":   10process\n",
       ":   10help\n",
       ":   10your\n",
       ":   10handl\n",
       ":   10support\n",
       ":   10check\n",
       ":   10hold\n",
       ":   10format\n",
       ":   10pthank\n",
       ":   10m43\n",
       ":   10kodak\n",
       ":   10\n",
       "\n"
      ],
      "text/plain": [
       "      pleas        soni       video     alreadi       everi       focus \n",
       "         10           5           4          10          10           4 \n",
       "        ill      improv         one     probabl        wait        year \n",
       "         10          10          11          10          10          10 \n",
       "       zoom          4k        also         amp         bag      better \n",
       "         10          10           4          10          10          11 \n",
       "     camera      compar      doesnt        dont         etc     everyth \n",
       "          2          10          10           4          10          10 \n",
       "        eye         get        good       happi          im        know \n",
       "         10          11           4          10           4           4 \n",
       "        len        lens        like        live        look        need \n",
       "          9           4           7          10           4           4 \n",
       "        now       photo photographi     qualiti      realli      screen \n",
       "          4           4          10           4           4          10 \n",
       "      shoot       small       still       thank      travel         use \n",
       "          4          10           4          10          10           6 \n",
       "       want        will        wish          af       brand      consid \n",
       "          4          11          10           4          10          10 \n",
       "       hope       lower          pi       price         tri         buy \n",
       "         10          10           4           4          10           4 \n",
       "        pim        sinc       think      expens         got         ive \n",
       "         10          10           4          10          10          10 \n",
       "    panason      around       choic       great        love  photograph \n",
       "          4          10          10           4          10          10 \n",
       "    purchas         say     serious        sure        talk        that \n",
       "         10           4          10          10          10          10 \n",
       "       cant        list        mode         100     apertur        appl \n",
       "         10          10          10          10          10          10 \n",
       "    correct       cours       didnt      differ         dpr       exact \n",
       "         10          10          10           4          10          10 \n",
       "        far       focal        full        give          id          ii \n",
       "         10          10          10          10          10          10 \n",
       "      light         may        noth     possibl       quick         raw \n",
       "          4          10          10          10          10          10 \n",
       "     result       rx100       sampl         see      sensor       sharp \n",
       "         10          10          10           4           1          10 \n",
       "       shot     similar        size      someon      studio        test \n",
       "          4          10          10          10          10          10 \n",
       "     tripod         two         ago        apsc        back        come \n",
       "         10          10          10          10          10          10 \n",
       "        f28       first         itp        kind       point        quit \n",
       "         10          10          10          10           4          10 \n",
       "       time        well  profession       pthis           1      actual \n",
       "          4           4          10          10          10          10 \n",
       "        bit      bought         day        just        mean        much \n",
       "         10          10          10          11          10           4 \n",
       "       must         new       offer     perform        fast      import \n",
       "         10          10          10          10          10          10 \n",
       "       keep  manufactur       speed        take         can        fact \n",
       "         10          10          10           4          11          10 \n",
       "       fuji        less        make      matter  mirrorless       month \n",
       "          4          10           4          10          10          10 \n",
       "       nice       phone        rang     smaller        tell         way \n",
       "         10           4          10          10          10           4 \n",
       "      anyth       right      someth        best       canon     compact \n",
       "         10          10          10          10          12          10 \n",
       "      devic       digit        imag       iphon       leica         lot \n",
       "         10          10           4          10          10          10 \n",
       "       mani       nikon     opinion      pentax      pictur     without \n",
       "          4           8          10          10          10          10 \n",
       "      world     equival         old     resolut        show          iq \n",
       "         10          10          10          10          10          10 \n",
       "       real    dpreview        dslr       howev       never       other \n",
       "         10          10          10          10          10          10 \n",
       "      peopl        rate      review        seem      higher          vs \n",
       "          4          10           4          10          10          10 \n",
       "    camerap        file       updat     samsung      second         set \n",
       "         10          10          10          10          10          10 \n",
       "    current       limit       optic         pro     shutter       thing \n",
       "         10          10          10          10          10           4 \n",
       "      model         add        even       excel      featur          ff \n",
       "         10          10           4          10          10          10 \n",
       "      frame        hand        made      releas  understand        card \n",
       "         10          10          10          10          10          10 \n",
       "      might       taken      upgrad           2     control      system \n",
       "         10          10          10          10          10          10 \n",
       "       turn         big       build        cost       littl     mention \n",
       "         10          10          10          10          10          10 \n",
       "     reason        work        gear        high       alway       color \n",
       "         10           4          10          10          10          10 \n",
       "    comment        jpeg     olympus        part         evf        long \n",
       "         10          10           4          10          10          10 \n",
       "       move          pa         put         pit        mayb          us \n",
       "         10          10          10          10          10          10 \n",
       "       call       anyon      rather        easi       level      market \n",
       "         10          10          10          10          10          10 \n",
       "   question       there      weight       wrong        agre        pthe \n",
       "         10          10          10          10          10          10 \n",
       "      a6000          go        said        seen      simpli        wont \n",
       "         10           4          10          10          10          10 \n",
       "     experi        issu        stop      especi     exposur         pno \n",
       "         10          10          10          10          10          10 \n",
       "     though         top      almost     certain      enough        feel \n",
       "         10          10          10          10          10          10 \n",
       "       find    interest       least        next      number     problem \n",
       "         10          10          10          10          10          10 \n",
       "       main           4       anoth     version     product        crop \n",
       "         10          10          10          10          10          10 \n",
       "      chang     perfect        view         yes       pixel         iso \n",
       "         10          10          10          10          10          10 \n",
       "       bodi        care         end         let        lack       money \n",
       "         10          10          10          10          10          10 \n",
       "     option        wide        case         yet         fit       mount \n",
       "         10          10          10          10          10          10 \n",
       "       hard    viewfind      design         abl     batteri      includ \n",
       "         10          10          10          10          10          10 \n",
       "     manual       clear  comparison       flash        pwhi      detail \n",
       "         10          10          10          10          10          10 \n",
       "    obvious           3        post        nois       guess      larger \n",
       "         10          10          10          10          10          10 \n",
       "       read      expect      either         fix        poor      wonder \n",
       "         10          10          10          10          10          10 \n",
       "       plus      pretti       start     thought      replac        amaz \n",
       "         10          10          10          10          10          10 \n",
       "     pocket        isnt       prime       carri        ever         bad \n",
       "         10          10          10          10          10          10 \n",
       "       line        term       total         low      believ         kit \n",
       "         10          10          10          10          10          10 \n",
       "     articl        larg        seri        base      capabl        sell \n",
       "         10          10          10          10          10          10 \n",
       "         na       nokia        pyou     subject        last       sigma \n",
       "          3          10          10          10          10          10 \n",
       "       true       found       close         pif        fine         app \n",
       "         10          10          10          10          10          10 \n",
       "        els       pwhat     instead   smartphon           5       often \n",
       "         10          10          10          10          10          10 \n",
       "     person        user     definit      produc        miss        life \n",
       "         10          10          10          10          10          10 \n",
       "     prefer       cheap       glass        valu     process        help \n",
       "         10          10          10          10          10          10 \n",
       "       your       handl     support       check        hold      format \n",
       "         10          10          10          10          10          10 \n",
       "     pthank         m43       kodak \n",
       "         10          10          10 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cluster"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 152,
   "metadata": {},
   "outputs": [],
   "source": [
    "size = clustering.kmeans$size"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 153,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "\\item 1\n",
       "\\item 1\n",
       "\\item 1\n",
       "\\item 1\n",
       "\\item 1\n",
       "\\item 337\n",
       "\\item 6\n",
       "\\item 1\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 1\n",
       "2. 1\n",
       "3. 1\n",
       "4. 47\n",
       "5. 1\n",
       "6. 1\n",
       "7. 1\n",
       "8. 1\n",
       "9. 1\n",
       "10. 337\n",
       "11. 6\n",
       "12. 1\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       " [1]   1   1   1  47   1   1   1   1   1 337   6   1"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "size"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [],
   "source": [
    "dist.matrix = dist(scale(m2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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5MLKpydnf/xj3/I2zUJdpIkTZo0qdxJ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6W7duYrG4srKyf//+ly5dMhqN//3vf6dN\nm7Z169aFCxeGh4dv3rx54MCBc+bMuX37tk2Oy8WLF+llKz09ndZVgn8ai8iP2AqX4UXDOtpF\nizjOmTPHxcWlpqbGyckpODjY0dFxwIABJSUlTk5OmZmZLi4uEomEznDw8vLq2bPnsmXLnJ2d\npVIp6j6MBCBRBLC+JcTn8xtUdEMBI9T6hd7SIqdJp7p7eHiwWKxTp07RDfSSk5NlMpnRaLRY\nLGw2m8fjcTgck8mk1+t1Ol1ZWVlOTg5FURkZGd27d7ezsyssLPz22295PB6d7eTs7Ozl5RUe\nHr5s2TKlUpmdnV1VVSUSiYqKivr27fvuu+82e9pKpVKpVD4q4PiksFisu3fvogivnZ3d22+/\nTVHU/PnzKYp6bKEVn8+Pioo6duyYTCarrKwEABRAbNBspfPM1Gq1tTLoo3B1db127dqTns4L\nj52dXVhYGABERUWlpaWp1epPP/106dKlFooCgJUrV3LXriXMZmhUAKVx1Gp1cXExQRDow2wy\nmaRSKd154lGw2WyTyYScghUVFWjNNZvNM6ZN+7WqKtLeHh63hxcAxrBjeBEYO3bs7t27+/Tp\n89Zbb8XExFgsFoIgsrOzxWJxp06dTp8+jQwsZF1hGObi4lJZWbl+/XoASE9Pnzdvnk6nW7ly\nZWBgoFgsNhgMO3fuvH79+ksvvXTmzJlFixZdvHjx1VdfnT59ekxMzJw5c5ydnWNjYwUCwZIl\nS3755ZcOHTp4eHhIJJLVq1fT2ivWukrwz2gCh8Pp3bv3kSNHnu1Fet7x8fEJCAhwcXGxNsdp\nZDIZqiukNX1o890GlHZ97NgxhULh7+8/ceLEWbNmkSRpsVg2bdqELLOsrCyTycRms8vKyhIT\nE+VyOUmSTk5ObDZ72rRpWq322LFjRqPRaDSmpaWJRCKVSlVRUdGnT5+6ujqDwZCVlVVVVVVZ\nWVlRUWE2m4OCgmQy2Zw5c7RabV1d3c2bN7lcrq+vr16vT0hIQHWFKpUKx3G5XM5ms1ksFqqX\nRISHh8+cObOkpGT48OE8Hm/VqlV///23RCIpLCys78wAAJIkpVKpVCp1dXW1iW96e3tHRkaa\nzeaKioqQkBCVStWlSxcfHx96wPMcIrBJ7ccw7IlquVAt/6PyHxhaiaNHj65bt27JkiWZmZkX\nLlwYCQAAn3766ZzKSvPTedlRaa116iHdxKgRrO+ZMas8v+rq6jFjxnwzdy405IF+wWAMO4YX\ngR07diiVynv37t24cYMgCNqRptPp/vrrL3oYRVG///77Z599duXKldmzZ8+cORMAMAyzs7P7\n5JNPevXqtWfPHplMNm3aNCS2RNtef/75586dO9VqdUlJydChQ3NycjAMmzt37o8//ogqcI8c\nOTJw4MDo6OgtW7YUFhZWVFR4eXlxudxevXrhOK5Wq//Pu/P++87OzsFqtclk+s9//nPy5EmU\nTfLKK6+IxWKUpIJ+7J//gkHMCuRwEggEQqGQw+GYzWYWi8XhcLp06eLn54eSpiUSiUwmk8vl\nHA5nxowZdnZ29vb2Go3Gw8MjNDQ0Ly9v4cKFKpUKrCLa1mzfvr2JTSEJgggKCkIXE00MZR0h\n5SA0xs9KfZ4+HC2FAwBDhjTWKxz5KuARxiXqJYPy91etWkWSJJvNJkmyrKxMIBDU1taazeaq\nqioMw959910+n+/u7m7tI+TxeHQqW/MgCEImky1atOixI/l8PjJquVyuQqFQKpUkSdJdmxkY\nmsKCBQvu3LmzY8cOOkBRUlLyKJuOrm4Ri8XFxcUCgYDD4ej1+qbUjtC3x2w222AwoIoTHo/n\n5OTEYrEqKyvRys/j8WbNmhUZGTls2DBcq4WsLBzHhQJBLUmiNNAXHsawY2gfIB3LR1FaWhoY\nGLh58+bDhw/n5uYOHDgwNjY2NDT0xo0bNTU1dIZcVVXV5MmTUeGVr6/v77//jn7D9Hr9jh07\nAGDTpk0nTpxo0HqgKArdQaK1g6Io5PBDHDp0yGKxfP755+np6RaLpXv37ikpKVwu95tvvgGA\n7t27Hz16VCgUwvvvq9XqiRMnrlq16vjx4zdu3JBIJGVlZYGBgRUVFUajMTc3l6IoDoeTnp5+\n5swZANDpdFlZWa+//nphYSEK0gUHB0dFRYnF4tDQUPSrrFAoPD09FQoFn89Xq9Vms1kkEonF\nYrFYjLRyUPwOAFDjnWZYjRiGjRo1CnUQLiwsDAgI6N2796RJk6qqqrRarclkysrKGjRoEIvF\nKi4uzszMVKlUtbW1dInJf//7X9Rfrq6uzmKxoOBaUwJhNMhEa3r5ZDMKLVsK65JMa4sN5Vwi\nKxM9bvMamg8++GDx4sUGg0Eqlfbs2RNJzjIwPBFcLnfLli1Go3Hbtm0yqRRKSwF9AS0WACAI\nAnVFQoMpijKbzWazGbnfqqqq6ve9EAqFKKSOcHFxyc7OBgAOh2MwGCiKoihKLpfX1tYajUaT\nyUQ3H8IwTCgU3r59W61WV1ZWlpSUOBAE2j548OC3T56E5ctb/XI8BzQgAMPQiuTlgUYDd+6A\nVtvWU3nuiI+P9/Lyio+P9/HxCQoKsn7p4MGD9Yu/nltwHBcIBHq9HhlDRqPx4MGDEydODAgI\nWLR4MXTqFN2374YNG+gsqEZAiyBqj1FWVhYbG4vjeK9evRrxqaBvNFo6CYLQ6XQGgwEp16en\npyN107y8vJs3b+p0uhs3buzcubNv374ymezEiRNCobBr1665ubnnz5+PiopCaeM///yzXC6v\nqKhoRrlf8xg+fDiXy83JyUlISHg2R2RgYHhKXF1da2pqEs1m97IyjKJ0ACUADWQSNIFvv/12\n9uzZDQrUPYq0tDShUKjRaFgsFqrV+P333xcvXpzH5UJGBhBE/Jw5fb/91nDtGvj5QX4+PE7/\npV3DGHbPFivDrhFFjKSkpNzc3GfWtL5BiouLn7F4G4ZhMTExr7322tKlS6Ojoy9cuFBQUID8\n8+PGjWv2blEiOWo4AwAkSSJTiT5oy34FOBwOhmF1dXUN7pYCuM7ndydJd3f3q1evtuBxm01G\nRkZhYSGLxUpPT09NTXVycsrOzt6xY0dQUFBmZuaNGzeaIa/FwMDwb4PD4QwaNGjp3r3hADiA\nDqAYwKNp70VNYB87zMvLq6CgAFU+OTg4FBcXi8ViFovVr18/FotlMplQhGT27NkXLlzIzs7W\n6XQ6e3tk2O0YMWLhuXN5f/31bzDsgGJoZerq6uLj43ft2rV9+/a933xDAbzk6oryfNVqdefO\nnVHePZ/PR1EzlFWNYRiLxfLx8XmWU7VYLD/++GOXLl3qKyEJBAKVSlVQUFBaWjp69OgWPGha\nWtqRI0dQNtvy5cuDg4O9vb0fa0da98yxjnwBAI7jLBbLRn1KLpc3srdly5b5+/s3T/8JVQXS\nMbXly5f37dvXeoC1gCoFkAiAYdiff/7ZgtewNbh7925mZmZCQkJbT4SBgaEdoFarly1blimX\no0QWPY5nYliXLl1GjBhRf2lFlenW+RIoPbfxxRbHcZIkhUIhSibRarWzZ89+1GAWi7VmzRrK\nw4MCsOD4BA5n+vTpVGoqBUDl57f11WpdGI9d63Lp0iXrDldOALkA3gBpDwc8Nh9co9F8+umn\ndJua1gD5Dm/evHny5MkPP/yQnhiO4/W78iE4HE5wcHBVVZXBYLC3t1coFJGRkTNnzmy6Y89g\nMCCf3K5du1B+WxPx9/dHNYnI/DWZTD4+Pnfv3rUWFnFwcBAKhdnZ2SghA20PCwsjSTIpKakp\nOfguLi4FBQVdunQxGAxKpTIxMZHFYuXm5kZERKBCxQMHDtTU1PTq1Wv79u1qtbqJk6cALmDY\nq66umZmZTT9lBgYGhueckSNHJiUl3RKJRHfuhHTocPb69RKA6/v3Dx48uJF3Ndhy42kCKbT0\nQUhIiEaj+T42Vl1TYwZ4SypdlpzsXFX1b/DYMYZd69KtW7ebN29Onjy5qKgoNjaWW1JiY9g9\nChvjY/HixStXrtTpdNnZ2R4eHiKRiHYCGQwG1JYnJCSkeaWUGIbt2bNn5MiRarXaaDSazebw\n8PDY2Ngn3Q+Hw0HiC+j+jKIog8Gwb9++K1eu5OfnDxo0CA0zmUwpKSmTJ09uSu1660EQBEVR\nJEkaDAZ0MSmKqm/woUvK4/FqamowDBOLxcg5l5mZWV1djW46DQaDWCzW6/UURXG5XJQ8p1ar\n582bBwAXLlyIiYmRSqWXL192c3e/gGH9xeLy8vJnfcIMDAwMrcb58+f79OlzhSR9KisbD8U+\nym7DcZzL5dZvsymRSCiKors00W/v16/fyZMnKYoKDAx0dHQ8fvw4AHTr1k2lUsXGxur1egC4\nC+ABYMGwiu+/l77+Oty69W8w7JhQbOsiEAh++eWXb7/9FgCEQuH4Xr0ogEUjRyI9dISjoyPt\nkZbJZKtXr965cyeO4zYSVvSYgICA/v375+fnDxw48KuvvqLdRZ06dUpPT89/CJpAfn5+aWkp\nenzx4sV169b99NNPBw4cSE5OTkhI2LZt2xdffAEAKJ8Px3EOh9OrV69FixYhr3iLdKd5SoRC\noc0WgiBcXFysNa6sXfrEwzIom3ZAzWtJWZ9HWc822xcsWIAue8eOHQHglVdeOX/+PAVwiSCE\nQmHbfBwZGP7JgwcPLl26VFZW1tYTYWh54uLiSkpKGnwpMTFx9+7dLX7ECxcuFDg7WwBwHNcB\nZDz9amtFenr6+++/LxAIBg4ciH4UKIpis9kDBgyg1/mlS5eimVgslnnz5nXu3Nnk6koBUARB\n7dxJUdS/JBTLGHati0qlOn36tLe3d8eOHUtLS6ncXAoguFHVzbVr11IU5e3tzWKxsrKyhg0b\nVt+SaIqBgsw7AIiKivr++++fN20qkiSdnZ2b0h5Rq9VKpfP553oAACAASURBVFLrcGfjpz9t\n2jT0AGXa0dl4SqXS2dlZJpOhRI0nMvKa6AplsVgEQaDjDh069MyZM7TgGYICuEgQbm5ubf3B\nZPi38/fff6NbDgA4cuQI2jh8+PDY2Ni2nVh759mbU48CLZ5ardbT0zM8PLxz587+/v7ogYuL\nC5vN7ty5c0BAgFarDQsLa5G5ZWZmXiVJFPV4esOOzWaLRKKgoCBfX1+k64S2S6VST0/P4ODg\n8PBwFoslEonoxVwul4eGhqLJbN26VSQSoRw7xrBjaEnmz58/Z84cFosVExNDURQy7HwJwsvL\na8OGDbQWKIvFEgqFY8eO7d69e1BQEEVR8+bNIwgiMjJy8ODByAUVERHRPP9Zg0aJTQNses/o\nKRIsDQ0NpQO+yEDh8XjTpk2bNGkS+nY1Q0e3wfFIr3LVqlWLFi1qUGrfGolEYt3WqWVBqmNI\nxBLp2dIqr3Z2dqNHj0YKus1Ao9FoNBpUPMFms2/dutXGH02GfzGJiYnoVzMqKgoeGnZFRUUO\nDg4cDuf8+fNtPcF2DADs2bPHZmNdXd3OnTsXLlyoVCobNPvi4uJOnDjRoGn1pCaXdTmadSth\nm3oyGhzHnZ2dP/30U5VK9ZS23YQJEy4ThAXA29tbB5DzMGaCYZhWq7WuYGtQTdNmVXewipa6\nurqOHTvWy8sLdQduBJIks7KyKIp6/fXXlUrlv9OwYwSKW5d169ZNnjwZx/ELFy5IJBJBeXkE\nAIZhvXr1UqlUEomktLQUACwWS11d3b59+0QiUWlpqbOzM9LjjYuLo3eVlJTUvDlQDepu/LMT\nM92GBT0NCQlxdnaura29du2ao6Pj/fv3UbI/i8XasmULGtlg3ycEj8dDrZpRay/rjs4NTgZl\nti1btgx91f39/e/evfuoZs+tl50mEAjQTIYNG/b7778TBHHu3DmUNYjjeI8ePYqKiug6GJom\n5vlaCyyLRKIVK1Zs27atRafPwNBU1qxZ4+DgcPbsWZIkaV+4vb19cnJyp06d1q9fv2fPnrad\nYbsjPT2dlsn99ddfSZI8f/58bW1t586dRSIRRVHjxo1TqVRFRUVDhw49e/bs2bNn9+7de+zY\nMT6fX11dnZKSwmazjUajdWWo9crp6+t7/Pjx0tLSzMzMqqqq+/fvl5eXd+jQob4q1q5du+jG\nhvTSZNPhEAC8vLxkMtnNmzerq6vfe++9n3/+ubS0dObMmWKx2NfX13qkRqNp4kWIjY1dhONg\nNt+5cwcAjA8r2iiKSktLA6vV0tHR8cGDBzaLPIvFst5SUFBAP87KysrKygIAb29vAEB9+aqq\nqvh8fm1trUAgqKmpQUczmUweHh4ODg55eXkTJkyAc+eaOPkXirayKP8lXLhwwc3Njb7aTgAU\nwBNpEz9K1OP5BOUOWme/1Q8BKxQK+qRwHPfz80MNEugbypbqptV0hyKGYajhFZoY7bF7++23\nrW8iPTw8cBwfPXo0QRAdOnSgT8Fa0KQR7OzsKIA7UumqVatUKlVbfzYZ/r3I5fJ169ZRFIUE\n/b/++uudO3deu3aNoqi1a9eq1Wqb8f/73/8KCgrqb9y3b9+jDmE2mz///POWnvgzIuchMTEx\nZ86cOXz48LFjx9atWzd79uykpKSzZ8+uW7du1apVS5YsOXjwYFJS0vHjx0eMGNH0penIkSMz\nZsyAh335mv5GGzAMc3Nzc3Nz8/LyysnJOX/+/B9//NGlSxcHB4cW7JmblZWFHIoJCQn5j/Z1\nJSYmAsAlDHvSUCxtRyqVShS9afrc9Hr9hQsXfvjhh/T0dBcXFy6XS1/Pnj17JiUlGZydKQAK\nx/O//jotLe1f4rFjDLvWBcVPBw0apFar/f393xo2DIVi7ezsmpJe9igwDEM3diiBrClLw6BB\ng3bu3CkWi1u8WV5YWNioUaNQiyRrZzvdSNTawEIicy1y3MWLFyNb8KOPPtq+fbuzszPav0gk\nAgCSJH19fa3NSjQHeiZisZjL5TYxpCuVSrlcLgAQBMHlclksFo/HszlT+jFJkiwWC8OwiIgI\nlUrl5OQ0atSo4OBgLpdLAVAREVu3bmWxWG392WT490KS5P/+9z+KovLy8gBg4sSJbDZ71KhR\nFEVt2bKFzWbbjEef7ZCQkMWLF//111/W+tv29vYLFy5EG0+dOpWWlkZR1J07d5C+47Jly+Li\n4rZu3RoXF5ecnPzXQ7755pv58+d//vnnW7du/fzzz5OTk61Lvtqcp1iW2jeoa46XlxePx0N/\n6/+4sFgsjUZz/fr1K1euWF+0YcOGEQSR4+BAG3Z5HA7dRRr1hED67fUPSvspBQKBRCKx7haN\n43iHDh18fX25XO6QIUMwDOvYsWNcXNyGDRvi4uKsJ/DJJ5/UP6O7ABSACWA0AAAwhh1DC8Dl\ncjdu3Eh/yJrisXvKezgAQFYFSZIRERGjRo1SqVQYhoWHh9O9TdGXDX1prRMv5HK5u7u7VCpl\ns9lojLUOcFuB3GkYhj0PJbpNZNeuXTKZjLaht23bNm3aNHt7ewqgxMvrgw8+cHR0bOvPJsO/\nF41Gg+oHUX2Vv79/t27dAOCDDz6Qy+UsFisoKMjFxQW50tlsts1NEVjdttl88tGS0uxFg55h\nTEzMr7/+mpKSgjxn2dnZn3zySVhYmK+vr4uLi0KhcHR09Pb29vb21mg0bm5uv/32265du+i3\nf/PNN76+vq+++mp0dLSNn6kpEuuDBw8ODQ1FZ4cKMK1v5FqVlopXtPYhULtngUCQlJSE/kdy\nudzf3z+ZxbJgGADoADIxDJWv0cEQAHj55ZfRxqYchSTJ77//Pj8/f8OGDSwWKz8/X6FQ7Nq1\nC2lLIVBl9/Xr15csWYLK18aNGzfjIUUiEQVgxrBv+/adMWMGY9gxtAByuTwuLm7kyJGvvvrq\nK6+8EqpUIo/d03yjbBZNoVCI+lV4eXmhW5+IiIgePXoAAEEQ8+fPnzlzJkmSrq6ubDabz+cH\nBASEhoaSJMlms4VCoZ2dHTy8K+rUqRNFUVu3bhUKhZcuXerQoQOHw+Hz+fb29sgN9uwJCgoq\nKir64IMPACAkJITz8BbwSbG2X5GrXyaT8fl8Pz8/aKGG8RiGocWuEVDxBI/Hmz59elt/Np87\nunTpsmnTpvLy8qesK2wwbtgeab36yjfffNPOzu7ixYvIsGsr0N0a+iuXy6VSqaurK5fLfez3\nqEE4HI5er//uu+8abDPj5ub2xx9/rFq1Cnnx165d++233/7www901PW3337bsGHDvXv3Nm7c\n+NJLLz3tubUcrq6u6METGWQoMEIQhFwu79OnD5/PF4lECxYsQJGH1oAkyQkTJtChWD2Gtazc\niQ2urq6rV68ODQ1t8FV/f/8dO3ZQFPXvLJ5gBIpblzfeeEOhUKxZs+bSpUu9e/e2q6xsokAx\nAsMwkUik0+lCQ0OvXLny2PFCobCyshJJ7z62uUKD/PTTT3PmzEFNlAGAw+HQ2ayurq4ofbUR\nNBpNbm5u/dYOSNqXVpi0BhlVaDwK1Pr4+FRVVVVXVxcUFIwfP95kMu3evbspnQQbBMOw7t27\nx8fHW29EjQXpD7+Pj4/ZbA4MDExKSrp//z6bzTaZTPSUbM7FphwErDKCP/roo40bNyLhZbQK\nW3+/FArFg+LiJIBeXO6dO3dQ7JiBDrskJSVRFIUuuJOTk0ajQY1DKioqOBwOj8erqKgYNWrU\n//73v9WrV1dWVgYFBYnF4qtXr3p4eOTk5BQVFfXp0+fGjRvTpk1DVXhardbHxweVpVsfMT8/\nv/FmITExMT179kQWQNMzx5tNdnZ2dnZ2ZWXl5cuXu3bt2qdPn/j4eIlEEhQU9Mknn/Ts2fPA\ngQOnTp168OCByWSqra2tqqoCgMrKSmdnZwzDZs2a1bFjR19fX41GEx8f7+XlFR8f7+PjExQU\nFBAQYDabhUIhSZKVlZUGgwGlXhkMhpSUFJPJxGaz6cKpxvHw8MjIyEApUBaLhaIokUhU/xuN\neiE2cZ8IOzs7nU7XjF8iZBGiBQotfV27dj1nlSzfxA6kbYuLi4u9vX1WVlZZWZnNwvK8gT4t\n9RdAay4AoF6xlTheThCuFksjg20WSblcXlZWRq+3Xbt2TUxM9PHxIQji+vXrXl5e4eHhtbW1\n+/bta2SSLBbLbDbjOG4ymRYtWrRy61ZOXh4QBOzYAaNHMwLFDE8Fugu8efNmv379Jk6cqNVq\ncRxHHrtu9vZ+fn4+Pj4ikQjdPyHnmbu7e4MJDQDg5OTUt29fJG7XgrHRR90CoqCnSCSyDsGg\nbDkAsHGk0wXtvXv3pijq5Zdfdnd3X7VqVadOnervH3XCRW5Ca1D45ilPjf799vDwEAgEKI68\nb9++oUOHPk1i38WLF0eOHGmTVAcAbDYb9ZZoOhTAdYGAqZygHrqj4uLiCCuePg+hxdm7d29e\nXt5PP/0UEhLy+eefS6XSd9999/bt20uWLFm5cqXFYkHOM3Q6x44d++STT2JjY63dabR3zVot\nPDc3Nz8//9NPP61v37dIykEj8haNvKUpw5Dij41eUv1d0aYz+upJpdLn7T/bRBqfNpJeohNX\nGoxNo404jiuVSpQYg+M4j8dDYRAMwzQajc2iSjsy4WHQE8dxBwcHR0dHkiRR50aFQkGSJJ2d\nZu2K69OnD1quUYgDSUQ1eGo2/3SSJOmVE21BpvyUKVPGjBmjUCj8/Pzobubw8LeAdnDiOJ7M\nYiG7rJIg7nO5mzZtQlJZ1iswmj/6hEyaNCkgIKDBaxsQEMDn89FMUI9H6smtf5RjZwY4ixTj\n/x0eO8away0a/JA1oyq2cV555ZWnMVm6desmFosxDHN1daWXFQ6Hg35s6LWgwRUfrRpisRj9\nfgiFwjFjxli3BcRx3NHRUSAQWLfWsM6TpcEwLDIyshnz9/X1bUoJFTo1giDQgtL0dBm0qDWY\n8Ivg8XhNvP4hISGHDh2iAB64u6Nkkfz8/MOHD//000/ob74Vbf3hfTJQjkthYSFdWUlRVFxc\n3KFDh1AkMT8/v6CgYPPmzfHx8eisZ82aBQDr1q0DgC+++CI5OTk5OXn+/PlN/L88PxAEUT8F\nDf3aoe1IWBXDMCTQKBQK/f396zdTeZagLyPKWwUAJJ9+9uzZ/Pz8q1ev/vLLL/RINpuNUjua\nuFsnJydki9CmDEEQo0eP5nA4CQkJkydPpgdzOJzn2dRDq0poaGh6evrq1avRRhzHhw4dOnbs\nWEdHxzad3f8HLT5isbh79+7oyqOZ2+iVNL4HFE5BEp42EARBkqSdnd3cuXMpimKxWJ06dXJ0\ndOzYsSOySvv06cPj8Xr37k2/5QJAU6pin/QeftOmTRcuXEhLSxswYMCgQYMGDx5MkiSqovXx\n8QGAnj17jh07Njw8HB5+8ORyOUEQKMcOFU/8+uuvjGHH8FSMHTt27Nixrq6u7u7uHh4e6MbO\nVySiAIL+meVQ/z4PbbFJhkAtDRrPPkEZYwDg4PD/2Hvz+CiqdA34VHVX9b53p9NJurOv3dlD\n9o0sJIQEkhCyENZEwiIICoIDLigKCq6goAIiIqAo4Hbd4Do6XBF1xBmdcRlURlBCdFx+zlxn\nHDX1/fFMzi26O53uToJ+35fnj/zS1dWnzjl1lve8y/OGZmZmZmdnl5eXKxSK0NDQ+vr6yspK\nk8kUGRnJcdyQNI/iyvj49tJLL/X9c6VSqVQqA13BsWpg2aK/LSkpgbYgISFhSK2GPwJfoCoN\n3A9R2J/79Xo9hBU4/TAMIxDylh8PjYiIuOyyy06cOAG9L1Q+Dz30kDDAdAr5if7/7LPPTp48\nGQPvzJkz4CbAVj0cZ6xDhw69++67bwzgueeeO3To0J133vnoo4+uXbt23rx53d3d1AEIbwTO\ny1R2D1oL+4uH7PyagYBuQgjsqkqlcvQkxfj4+Dlz5tCPJSUlPM9TbRw9MkEFtXjxYp1OJ2Y7\nh94oOTmZGtzdljv6kRmI9CeEyGQytVqNlUoqlWo0GgRFutUNgRqojPi4SB2Cq6ur/WkjwzAW\niwVjtb6+npYWRMCEVCotKytzuVyEEJ1O59ZSt4dClhop6RY67yFvwwzV6/XTp0/35NJiBkgM\nxK8JV2DAGbK2fgp2XoHCKXuUP+tzWFjYDTfcQAZItnFKufvuu3me37p1a3h4+H987Fh2gdmc\nkpIyJtiNYSSxdOnSxMTEWLlcICRNoQgPD9+zZ897770nl8sHIxzyOoV8CGQhISHUxFlRUREa\nGtrb2/vZZ5/95je/kUgkSp95zC4+/FzOeJ7v6OiAZWfjxo0j69SMiD+lUkkPuzTPrLiGflYV\nvDNuu5qbgILgiVGC13qqVCqtVnvy5MmTJ08eOHBg586dL730EvSC+/fvX7Fixdtvv3327FmI\nbq4LMWo19RdiVqphQqyQ1uv11H8gMjJy7969+Eoqlebl5aWlpf1qxUqFQjFx4sThl8OyrFqt\nDoIa02g0Us037VIoSLyqfNwgk8l87NZ5eXn4JzMz02AwvPPOO/DQQD0hOxJC7Ha71WoFvxIh\n5JprriksLHzmmWcw48Tl5+XlFRQUxMbGip9is9nkcrler0fEBmq1YcMGTN709HQElgXSK14w\nzHHr5whkGCa48RAWFibOVz78WcYwTFhYGMMwEOxYlv1eKj0jlTocDuoVQLmoxCMH/4CKITw8\nHB9tNpvL5ZJKpQ6Ho729XRzl2t3dDcIBEIjabDacahITE/Py8hiGSUhIsFgsMplMp9PZbDYa\nPPHkzJkymWxMsBvDSOLs2bNFRUVRHOePKdZTIHDDCJIV+9CpYKEMCQkBeduvym4ik8lo2Be9\nCGPQL1epoeFbsDOZTBfTyUxsNx8ORrvCVqt1woQJCGIILl5yBIHJglEXhCrarSjqXYRpCOVT\nXFwcjmEOh0Oj0eC8odPpqMhCtVPU1YkKInDAQi+JXQjoWeVXNYsBz9UMyrkFCxaM3utOTU3l\nef66666DF1cQ514/CUT9h0ajsVgsOTk506dPdzgc1BsvOjpaLpe3tbXBJp6YmOj2XHEH+kNf\nIJFIfN/mKXj5AARElmWTkpJYln1HJusnJDY2VtBohOhoQRA6OzsVCkVeXp5er6eOK0P2Hoa9\nVCoNDw+XSqVOp9PpdGIzNZvNnv48tOa0ztA+UsHut5deGhYWNibYjWFkIE627aePXWRkJF3R\nfMtwgRoT/QSNBGRZNiUlxc8IeepOC/42z5wTvhEQd7HXRQHndR994s9C7GaDoJ7L4utg2lyw\nYAF9s35iVDV2foKem918BxkR/ClnNGgFxRsJHfkajcZrXJH4V1KpVK1WMwwD9QwVv1AIbelw\nduKcnJywsLCOjg6JRAI1iUql8rrziRW35eXl/uyOqBg0UmhLQIc3JG6WSCRHjx4VBOGmm24i\nhJSWlspksquvvhoVzszM1Ol01MnVaDTeddddkZGRVEuNOtA5iEydg1XDjawu6KPmcKjapVLp\n8I+4PhTzUqk0JiYG1+VyeW5ublhY2LFjx+AQotVq58+fzzDMqlWrPOeCV8GF4zi9Xt/S0kIG\n+nn58uV79+6lTnvV1dWCIJSWltpsNjoYenp6OI47cOBAR0eHSqU6c+bMs88+68+a/NRTT5FB\nhDM8XaxApUtcdXU1XYpramry8/NZlvWfJIWaYn9Wq/83JOTdd9997bXXsBcwDCMW7IhosJnN\n5htvvFEsk4n1fDBbq9Xqb775RggwfoIKdhuys5ctWzYm2I1hBIBk2/Q4mKzVCoTUxMTQZRGq\nY7oEwKGEeGy6FG6z1M+NCrfhaJWZmTkcS1NhYWFMTExnZ+eKFSskEgl2ILH9cd++fQ6Hgww4\nABFCUlJS3AQIT2UbEZlaCCFNTU0FBQUjciBmGMbhcAxmwoa2X61W6/X6W265ZUhhhb41fx6N\nm7VabVZWFn4iEPI2xwV0IEYwHaqKPIkXE7SqKpXKbDYjD5JWqwVpIiEEjImEkOzsbLxxu92O\nN4tAAYxkGmGNX2HJpoKX/wNSPHEIIfDBcjMCimcTGVCGIVnI3Llz6W3wWKVDjrqp0V1WIpFk\nZ2er1WoI99XV1VKpVKlUZmdnu4V1MwyTlJS0bds2SpFIv5o7dy6mv9gWHBUVRX0TyfDETSAk\nJIRhGKfT2dTUNGnSJJlMhtANaH2CKDAvL49S3JWVldlsto8//hjqcIZhsrKyEG45WOHioxGM\nmyNIn8ZxHFYYMhJdFwTEg1YikSgUCrPZjEMgbLvIZEoGdGPoN7rcwdkfNU9PTxcTHURGRorD\nyNBpYtETuwO89y6aw4DRaGxra8O6XVBQgIMB1Zm5vYIgfOzkcjk1rHsCSjv8D0e66OhoRGxM\nmTIlNjZWvGjDcB8WFlZcXFxbW1tTU4OUYj8zzFqX6y9/+Uvvb38rEHLu5MmzZ8/+0tLBKGJM\nsBtd1NTUREREVFdXY/TvXr9eIOTgzTdXVlbSXb+0tBS5UMR7no85oNVqfUxpzBC3NReTEEl+\nsKyMLOiaZTKZSktL3UL3r7vuOixznnswMByqerj7ENFiqtFosO5TPyqFQhEfH0/tVjqdjoYE\nJiYmTp48ua6uLiUlxWAwFBcX+2mUYVk2OTkZZSJcrqamBkdehUIBX0BoFOx2+2233VZbW4tc\nsecdjvj4wAKjb731Vjyxs7NT3LFwWo+Li1OpVLQmOCqQUdPm+gmVSoUpcNVVV5FfYgP+Bf3k\n6KYrbnVcXNwv+0Z8wJPRNyUlRRwzwTDMs88+i2HGirJ5Qijx5+XefPPNWJpgDRjZ8YBTx5kz\nZ959913inznSB+h5w2AwjGDCCYQYB/fbizZ9EhMTk5KS0GqEWfj5Q6VS2dHRkZiY+PsLc8U6\nnc7S0tLk5GSWZa1Wa35+/rhx4zzHG9Iw0rH0wAMPQCmOHOIajaampoYMCHZGo1Gn08lkshMn\nTgiC0N/ff+7cuVOnTp0/f96zYm4pxZIIEQgBhd0vKRmMMv6/3LZfAwghCQkJJpMJUyUIuhOv\nU9ptYlA/9/j4eM9QDKruprOUHgTFZ8GQkBCo3wIK5mcYhh62lEql13O5RqOhW1pJSYn/Oy7m\neWxsbHx8vEwmKykpqaqqgp3Xbrf/yt3pvMKHKRaNRQw13U4gItOWajQalmXb2tpgAoYTCSJn\nR6qG/htYPd9jeHi42GWzvr4+NTWV6up8/xYIdAPzvP+ibYHDfxD0fD7IdAZ76GiczfzHqPYw\n1pMJEybA3TA6Orq9vb21tdXhcHj1aJSI8lBrtdqPPvqIELJz585du3bNnz+fcgRKJJLCwkJE\nvPqGQqHYuXNnT08PVLPwMH711VeHH3zm6eQwsmePwQjPOY7DpHZ7HNSo4ARZtmwZ9hS5XB4b\nGwvnNh/PAkWDy+UC6V1WVtarr7568uTJZ5555m2p1E+NHe0QsfhI/QRwQ2FhIcuyBw8ehP4Y\ngp1MJlu9erXD4WhsbHTbcMEX2ybCeZUKGrvbCwvb2tounzhRIGT+lCltbW2/hERwkTAm2I0u\nGIZpbW2VSqVFRUWEkMnZ2QIhiYHM59jYWLHSGzPBq0+xVqvdtWtXTExMQkKCjyVjmOsySg4N\nDVWpVDAAia8Pp0wyQJvEDDAh/8oRRE9eBB87uVzuZiqSy+VUeQkxwmw2Y5vkRHZhSI1ardaH\nYzI9JIjlPxgxL4JExTBMTk4OzKlSqdSfEGnwpVksFv+Zvf3Rqz311FPJyclFRUVHjhwZN27c\nKGkHYXqLi4vjOM5sNjMMgw0P0dxJSUnHjx8nhISEhCxYsIDnedCJ6fX6iIgIpVIJVzBCiEaj\naWxszMrKghhksVgaGhqMRiO03XC8ow+NiYkJqJJuohW0ZUql0i0W1bNp9J/U1NTm5maGYaDh\nfuihh3bs2BFQHWiBfoaI4lmFhYVyubygoMButyuVyvLy8vLycs+3zzCMyWSCCz8hpLq6evPm\nzYQQiUQSERHhe9jj2yDIaNRqNRUlAzoJU1UxncVXXnnl6dOny8rKLo7CeDh0JxQqlYrn+ZSU\nFORDKy8vFwt2mZmZJpNp0aJFNptNvNu+8sorWq02PT39gj34/5cpxcYEu9EFkm1HREQsWLCA\nENJWXAweu1mzZsnl8oB03RcNWBR8rCahoaHTp09va2uDWAACdOJBpCT2iYYFZ2TrOYIFJicn\n19XVORwOP6UT8UpttVqRqfrf//73a6+9JpfLfazjv4bgCTKwbtKPcG3u6elRKBQQJvLz8y9a\ndmCx792QPls9PT2CIGA43XLLLQhl8NSFeIVer2dZNjIycvHixYQQp9N51VVXDTYBJRKJ0+lk\nGOa+++6LiIhwuVxtbW0VFRV4uT/88APP81dccQWSa+3evRs6IbPZDGEr0JBJSGzUr8AfyGQy\nWEuTk5OVSmVMTMyHH37I87xWqzUYDKtXr25qasKdxcXFLpcrMzPz4sS2azQau90+pFoRbxyh\nPG5rhe8fwtJNLcLM4GExbkdET7uq/3xpnqCHpSB+S+FV5ZyRkfHYY4/ROLAZM2akp6cTUf2x\n0vrwSxt+xciFYxiisJvPn1dAsFMoFN9LpZ8QUlJS4hgcML+gTLVaXVFRQS1ODMNs3rxZIpF0\ndnaqVCpMKwh2Tz/9NH31VVVVDQ0NVVVVUVFRuPL4449fsAePCXZjGHEg2fbUqVMxWIefeWJk\nBUFIlsnJyZRcXi6XU8OfOCoiCGCmrVy50lNZIuaMoBCbgMXhUW7F4ohvs9kMBgPLsjNmzCgr\nK8OSRyUq34KpGxCdIDa1TJs2jRCi0+kkEsmMGTOWL19eV1c3c+ZMyBDl5eULFy4kA0z0s2bN\nwtOVSmVERAQNHSAX+g6Gh4fb7XaBkDe8LYsKhUKv12s0mmEyaAQBq9UK1Retqrgr/B9vkK7Q\nmdQqlJaWlpCQEBYWtn///oaGBofDwfP8/PnzCSEKhWL37t0gdOV53odzPfUdRH0KCgq8xlFa\nrdb6+vrQwFNAugVXihWWHMfBPYh+BAeeeMOjdYOoToqLQwAAIABJREFUgazkarWa5/lNmza9\n8sorkydPJoSUlZW98847AVUsaJcsN9AQSB9Dyx+tUhCGb6VSCY9Pl8sFldhwMuWMINwkbx8N\nEWu1gwCVGjmOC86eS49YzEDU/4jsAuIVcgTXnLOhof2EfPfdd/+Syc5IJJ57ophiXRCEY8eO\n1dbW+tkiCHb4lZu6lOf5ioqKI0eOuD9vTLAbw4ijt7fX4XBQfZVXwY5lWafTiRswhwPVRXEc\n53l6w9kd/8N063a0VSqVl112GUwSdrtdJpMhyhWBBSzLUklLKpWmpKTg1Ch2nabw1DTExcWJ\nHwfFHm2XWwNHgzjDE2Kd0EWgQ0tKSjp37tw///nP6urqrVu3lpaWyuVygZA3BtobHR0Nh3px\ngKQbIC2J+wdShUajWbZsWVdXFyHkxhtvhDzR0NAw4q1gBjJOii/W1dU1NDQUFhbabLbIyMgp\nU6ZIJJL4+HitVrtq1SpBEH788UdCiEwme/rpp3t7e9977z2LxaLRaBYuXBgXF4dBzvP8pEmT\nIiIiVCpVU1NTQMoqT0AXNRoysTgd5y+LEWldoGvLgQMH7rjjDkhjLMtSFUtycjKNNBc7Vo4e\nWJaFH9jFtHI0NTWVl5ej5y0Wi1Kp5DjOYrGIFze4lpaWlvooR1xnOJzwPK9SqTIyMnBxBKM0\nPOGm3RQDAdT4H//s2rXrtttugxB54MCB1tbWqqqq1NRUMaExoFKpwPjT09PT0tIilUq3b98u\n5OT0M8zEiRO/Y5gvNRrxbvjpp58eO3bsxRdf5DjuyiuvxMX+/v4HHnigsLAQS41Op0NXIJId\nFY6IiJg+fToZEOy++uqrtWvXMgyzcOHCzz777C9/+cvZs2d/+ukn73vwmGA3htFAX1/f/Pnz\nsW+5CXY4JS9ZsmTy5MnQk/lvFECBGRkZNpsNwfYMw6xfv16r1a5evZrn+YULF/7xj398+OGH\naYaWoEG3TIZhwOcpk8kowZvRaMzLy/NhbKXeu24X6f+YyWJ3PTjoLFmyJCYmJjw8XKPR+K+E\ngxENrJ7i62I7lFKpxNkXexK6PSMjYwT3p8TExM8///wPf/iDuBrBmWLDwsKmTJkyadIkdAvD\nMF1dXSdOnEAwNSGE4zidTnf77bc7nU7E5KJRNKMGJSUR+8kFh5CQkJycnA0bNnAcN2vWrKSk\npNTUVI7jwsLCOI5bu3btokWLsP1TbdaQOg833Yn/+e78gdhkxnowcrlVjA51tVrt1lFud/5q\nQ1yDAMuymZmZtbW14kZhmqMT5HI5y7I7duzYs2cPwzA6nU4QhIaGBvH9Eo+MFGSAYI8MdXjD\nPSqVCvw1bpotSEJFRUXLly+HHp2mqGYuJKQV/4phmPT0dLcE89HR0T6qwQykT4iNjd24cePj\njz/u4+bBgB6DIHKRQ7PFSyjHcTTNg9v84nk+Ojqa8oxSL0l2IIkwGQiwk0gkdXV1WD0SExPd\nTjie0ur48eM/1GjgY/d3hvnRbscmeP/998OAI4bT6bzvvvuuv/56fISpF1lrxaNFoVBgSSeE\nZGRkuFwuVMPhcJw/f37oDXhMsBvD6AEh2Z8cOyYQkqXRIPiUWpcYhkEG0otshrvIEJu0yFAn\n74twLkfy2SuuuAIbSXp6OuhSoaOyWq3iQyrLsk888UR1dfXq1atnz55N5QOe52tqat56662s\nrCx8LCwsHOyJboIdtQeJ33ug7lmeQAlUB+C2tw2GmTNnDuehIw5GFHDtA1arFeEFcBAMqOsY\nhomMjLTZbJ7CLtXT+EZwSVqlUqmb1R4HJJZlXS7X9OnT3QzKYGfF9ImNjaXEkFR/NiTEtmNa\nB8/bqGbO7bcMw4SEhERHR4PALzw8/IYbbhgRqYVhGHFwT2Njo0qlQm4otVrtdDo5jjMajYNZ\n6sUHFeqkER4ejmhNk8mEZM2ASqVyCw2Ji4uLjo5GHTiO02q1NpuN5/msrKzB2KfF1Q50nqK2\nnjZxN8ELH3Fox0X0zzCNwiqVKjk52c0CMFg9g34KfOykUmm/Wo3ME1u3biWEqNXqmpqanp4e\nQojNZvOTYfH777+HZkTM9mA2mxcuXNjX1+fX1jsm2I1hRHB2EBw8eLDG5fLHx44eoTiOKy0t\nZVkWTHhBzDeqjhoMdGVMTk7evXs3jB0REREXP6pDvIxeHOOsJ2QymclkevfddxctWgSLJ/iT\nsOk2NzcjsSz4k4Io31NjdxFEefEAwCiy2+3sAPM77PUsyxoMhtzcXEr9arPZKA3vkLJmcK1g\nWZbned/vGsYvyUAKL7gHsCwbGho6pM7M6xjG47BPoAQIZ2Kb1JDVJoSAO8NisQStuispKaHe\nDhAUJBJJUlKSb0FcrD53+0oqlSJglt7p9sOAmIwCAs/zCMJlWXbixIl5eXmsf4lkkEaPFrJw\n4UK5XE6JHpmB6Ad/rL1SqRRxJL7fCMopKysjhJSXl7e3tw/dvIsCmUyWmZnZ2dnZ3NxMCBk/\nfrxCocD4xw3bt2+XSCTt7e08z4tNq+KeuQgujLCJWywWethwOp3x8fG7d++ePHnyWwzTT0hi\nYiJNKZaQkJCTk/P1119jf2xraxvyEZSsRBCE119//eDBg2KyusD24zHBbgwjAh/j1XfwBI3V\nZ0TUZZi6Pih8oZdmBzIF0VVyRCSzysrKSy65JKCfwFYrvgL5wO1UajAYvEoDDMM0Nzf39fWt\nWLGCYZj29vbe3l6JRFJTU5OUlIRNCz/HkldUVITHmc3m2NhYT3I78UoH8cV3/UNCQlJSUvCg\ne+65Z9u2bYQQm83GsiwaotPpEhMTS0tLxT2cmprKMIzFYvFd/ohExdJ+g9GE47j09HSxS+XI\ngooRcrn8kksu4Xk+OH846gM+fKmdZdlNmzZ5nREMw/jOZUffWkZGhj9zhJoFabfHxsYqFIoD\nBw64DWkqkI0bNw4MGoQQm80WhNQ7UuL+7Nmzz507t3z5cnGZlZWVDMNQi2dpaalY8ye2bAbk\n+CWTycLCwnQ6XVNT0xVXXKHT6RCU47UtkKvc8Ou3VyQmJiK8SZzz7eJXe+XKlXQSjbgkR5tj\ns9mCCEWidCc/qVT/CAkRBIHjuEOHDom3yNbW1hkzZnR1dSFoD8z5VVVV3QMQ33zrrbfa7Xb4\n5x05cuT48eO9AYllY4LdGEYEbR6gHrJ2loVg57kWyOXyN954w025EsS0HBLJyck0MxVlHCAe\n9hd8TE9P//zzz2meBkJIRkbGzp07d+7c2dvbazKZ6urqiCgb2IwZMx577DGFQoHlhuO4LVu2\nCIIAn5jBNl2ZTFZVVYXNZs6cOX/+859PnTrV1tZmMBgMBoMn5bJXGI1GT3sTIUQikSiVyjff\nfNNqtWZkZIAv2i2SXxxcglxMvp/FMExKSsqECRPS0tIkEgkWJo7j8vPzH3zwQXGUBsMwRUVF\n06dPj4iIePLJJwVC/qxWsywbHh7utmt6tX/503C35syYMSNQc6Q/t4WFhWk0mnXr1jEMs3Xr\nVoPBwHEc3VTUajWqQQZOGhEREeIEaIWFhV9++WVYWFh9fb0/BtbB4BlhzYjiUikMBkNqairc\nG6RSKUzqZWVlRUVFg3mRewW0R24aIJlMFhcXV1hYOFiQo1KpnDlzJrZeKPYkA0mH/YTXkewP\nxAmpCCEajSYxMVEcnUPdlbzCbDbTNDn+P/3ieJKxA7n1IHG6eS943o9XP6pBCV4fSrPtMQyD\noyBOXOJVNKACR7yS/jwOXgr4XyqVrlu3zs+3/K5M1k9IW1vbDzLZGalUEISQkJCXXnrJ614Z\nHR3N8zzs49dee+1zHjh06BBs5W5PcTqdjz76qF/78ZhgN4ZRQkJCgkQimTVr1gPr1gmEJAxs\n+dgXoXgXB416JevHogY/1rS0NFycMGFCEDMfDshD3sb45+RE9TcajSYkJEQqlSL1ECHEZrNN\nnDjx559/xg0SiaSjoyPQ2gKwlwXnf8YwTFdX19KlSy0WC+wd/vwqISFh+/btSOflP9yWP8Qa\nMwwzZcqUxx57TCDknN2OxGsymQwpQ6ADcIsgEQM9TEtGgdT/hj4IQSrV1dW4MnHixBG0aDMi\nSjAIOnCoH+zm2tpaQRBAdpOUlDRhwoQTJ05cdtllFRUVgw0qalcqLS0Fg/xIVZ5i3bp1+Gfa\ntGmeHktSqVStVoeEhMCMOEp8EL9mDLkswHpOBgbtcB7klSjRs0xUSSKR5OfnYw3U6/Wwt1ZW\nVkImkEgkdEkEamtrz58/X15eHhcXZ7FYtm/fnpeX57V8BFHFxMRA/OJ5HuYRpAuCPxwV1IY5\nDObNmyf+CN5pTAdxXIJer0cQyZAFiqs0nLoFt6ii5vn5+Z2dnW1tbVOnTu3s7Pw2Pl5gmEOH\nDv1DIvkrwwiC0NXVtWjRIvGGeGoAfj5LKpXCP2/JkiVdXV0lJSXYOnfv3j307jsm2I1hlEC3\nQJhiCwcMdhBWoO6mCcvdxrRYgcQwDBzz6RWvagD/XappsWQgDMpgMOh0OrrG2e12qsfCneDj\nJYQgNo3juCeeeOLtt9/esmWLOOKMEUWreUpjXrVTOCOC/gPb6kVInSSuidjCyDBMTEzM+PHj\nPTtzSPIL2liFQuHW0sFMsb/5zW+wM7ltHmAixRlAbCOTyWRiOmWJRPL222/DQuRptffckPBm\n8b9SqaT6D+jhYmNj6f0BZRhDJhK6IUVHRw/WV3TfYlmWJkgQAycEMmoS1UVzIRV3iPjpaJdS\nqWxtbSVDNVMqlebm5sLWD51cEAY4SEVms7mmpkYqlYaFhSGbgtPppM6UXmuC+TsYYbWbfMwM\nBISJ7xGHzA/5QjUaTXZ2NpyDvZoRBisB/QPjQFJS0s033+zVOQFL07x582ggRWRkJM2TMW3a\nNKPRWFVVNWHChFmzZmm1Wrlc/tZbb/muc9DQaDRYJVasWIHsRF4rTETcn2488OTCxdbzt+Kv\nDAZDeXl5VlaW5/0PPPBAVFRUWlqaeMqLddI8z8N44vt0Lc480adSCYLQ19eXn5/f0tJy+PDh\nP//5z59++ulgv/WK2NhYzziJjz76yOFwpKSkDL37jgl2YxgNbN++na7sQRAU0xkIccer4SkI\n0I1BXJrBYHDTA/mAWDgYEURERDz33HNz5swxGAwpKSkymQz9Rumd/YSfe55UKkUyJZfL5YMd\nV5xEy61kf9JpuAlVgwl2bgS51H7k5jPu9b0zDJOTkzMiJieWZX07qHmC9smIZDVwK2EwIQP/\nY9u22+2hoaF0N6L1j4yMZBgmNDS0srLSh/KDYRgEDMXHx4vlG0+wLOtwOKAWBXVZYmJiQ0OD\nOAOpyWSKjY2FCRhXOI774IMPDh8+7LVjdTodnm4ymR5//HHkBBMjLCwsJiYGlYT8jSAPlUql\nUCjWrl0LlZJWq6UeC+np6dXV1WI7uFqtFvdkeno6wk4xZq655po1a9Z4FcFZb6SVFFgrIiIi\n9u3bJ36cb3i+CzGFb3h4eFVV1cyZM5OTk3FRIpH4kxXatzqNziN6T3D6YHESxVHFMJ9SXFwM\n20h2dvaPP/740UcfVVRU4Ku5c+fu2bOHxkhRJCYmgrdoOM8lhPyR4/oZZuPGjT8qFP1RUUJQ\nQWZqtTo9PX3q1Kksy7r551Fs2rRJJpMNvQGPCXZjGHHcfffdZCBlMsMwzXl5AQl2wzSlsSyb\nnp4+JI2FpzKf6ue8fvv/ashkMovFYjKZEHmXlJTU09PT09MzadKk6Ojo1157DUkV3fQTJpMJ\n+drJhRkyAoXv4AnawwFlzhg9UCsYPjIMI5fLJ06cSH1Ghw8qT0gkkri4OIPBQKmtvYJl2bKy\nskCHIt2uAiWMCAkJ8d9/PC8vb8KECVRM4Xk+LS3NbDZ3dHQ888wzhBCqUvX8rUwmU6vVIOkY\nThAMwzAZGRknT548efIkvbh27Vr/sxdSK/+QohL9B6dNnI5gq01ISHC5XLgeFxcXHh4udoEV\nY5jE1L65Br1iNNYxMfmAQqFQKBROpxPy/YIFC3y0UXweYxgmuNQUXlsEaVihUAymCBxxmM1m\nmUwGjd0HH3xAo2KbmppaW1s9Xc+94uzZs3feeSfNbOvDP2/Xrl1hYWFD78Fjgt0YRhDwIYiK\nisLQrK2tJQMaO5dM5qneENsdsAEgpp3eRm/wsTBJJBKFQgFzKrZhbJa+JyTP8+LzulqtDo5q\nn6YAp5VBBWDNtFqtKSkp4lSAhBBYln2k+wTLbn5+Pr0C67NWq8WvYKr2NB0GbWuDEbCqqmr9\n+vU0Nyig0+kaGxv7+vqmTp2K5EjUm5AQotfrExMTm5ubwdUZEhISGRmJNT07O7urqysrKwuC\nXXp6OuxilNEKf0tKSmh+z+GDuTBRJiDeCH0MJDdqU/SqXC7nef6+++67++673djqKWQyGRhh\n8FGtVre3t3/44Yd0EMrl8uLiYlrsgQMHfiU5pkYEcBCkktnixYvXrVtntVqhC9y1a9cvUiuF\nQuEpTY54LmAsPjgUgWyWZdnIyMjS0tJdu3adP3/+2LFjycnJ4jHpW3b0DfwwNDQ0oCMQ9foQ\nFwJ45fDz/XSvMJlM1E0CpwKUfO+995ILz8nU1YS6JURFRbn1DyEEiznV+PI8P27cuOGLp4NZ\nfjQaDVZsqVSanZ09ZCGTJk2yWq2XXnppd3d3fn4+6E6ampr61eqfHA7/d0zEvR4+fPi6665r\nbm7GTuHpn0dRX1+/bNmyocsdE+zGMILwOg2Gnys2OMhkst27d6ekpDQ1NZ06dYquEVFRUVu2\nbPnoo49mz54dHx8Pl2RPan4fi51bwqW0tLTly5fzPH/HHXf87ne/g8OyGFar9ZZbbiksLHST\nOdxISSi9GZaezMxMGlcodnpLSkrq7u4mFyoXB7O7ISXa8JGXl+fDtAfn69TU1KysrG+++Qa1\nevHFF3/66afk5GTkihUEweshfvbs2Z49xjBMeXk5WACKioqo0CCVSjs6Ovr7++EytWnTJkEQ\nent7h9M02ufUeCeW8hUKhU6nq6+v7+zspILpvHnz4IEERabRaHzvvfegnmEYZu3atWq1ury8\nHJa1nJwcnudpbJBOp6Me8SzLeqorvJqhxS5Hnt/SH/rgKx7mpuj75+JvlyxZsnfvXqom7Ojo\nuPnmm0dqHAI43tC0zn563JOBd02tz+JEDm7enLQbaVp6r2Wq1WosHTRVfGhoqDhQKVDCv8Hu\n978c6jnnG248cAHV02AwiEN0xSc9t5JHKTEddZ5JTEyEI+ZwSlu+fPk111xDvQ9/85vf5Obm\nwmWFHYoSFRD72H1C/BIw7r//fk+vHr1ev2bNGk//vPfff//QoUOTJk2qqKhAMjEK76WPCXZj\nGEFgJ1Yqlfn5+d3d3TExMZGRkYlqNaJikZIVSwACJyUSSUhIiMPhAOO52WxWqVQajQbHX5r4\nGexTSqUSdLLTpk2rra1tbGycMGHChAkTWltb//jHP+7cuTM2NjY7OzstLS0xMdFoNC5cuHDp\n0qVQj1GdWU1NDbLd+wDVV2VkZHAc989//jMtLc1kMq1fv14qldpstm+//TY8PHz27NlFRUVy\nufzo0aOCIJhMpvvuuw/+/hERESzLImSdLm1Wq1Wr1Xr14DGbzUeOHOnv7xcEobGxETSYubm5\nnhlLZTLZhAkToMzDvsKybEpKCtU2wWMpKSlJKpXq9frbb79drVbbbLaamhrKmxCEsdtms9Fk\nSna7vb29vaurSyKRINBEvJQnJSVhhQoNDQXRsUDIW1IpiMSIyLMee7P453j7+F+pVH7wwQcv\nvPACtljcM2PGDKPReOjQIVC8NjU1/fd///fChQvRpZmZmUg0RwuMjY1NTEz0lNHFOwF6bDh6\nFBC8BfdbwE+VSUZGhv9uhWKhMCsrS6FQVFRUuPHqMQxDQ4VgFKO/4jjO4XBg+tDgZUoS66MV\nCQkJixYtGtLayHGcb4MvFcVWr149d+5cTJxFixY9/vjj//73v+fMmcNx3LZt2wwGA8uyYWFh\nlZWVnmKE5zs1mUzwxHLLVjzYK2BZ9qabbvLdFk/46XyJaRJQsYN9hbbHxcUtWrTohhtuwEXP\nOvg+ssrlcqRMADiOu/32230/91cO2gMGgyEiImI4RbmduHQ6HcT6mJiYj43GfkJYlv1eKkXw\nhA989tlnCB4CpFJpXFxcZWVlUVFREIp8788YE+zGMOK44ooriouLf/7552PHjpGhNHYzZ85c\ntmzZggULoLpQqVSRkZENDQ1eYzOJyBtmypQpcHuaM2eOOIWOn6oFKFGqq6vlcjkyLOE6lGSU\nnEwul0+YMIFOaZvNVlFRMXny5IMHDwqCcPr0aYQ3wv7ouWKqVCqXy/Xiiy+q1Wqr1erbVBoT\nE5OQkJCcnAztHT0piov1QbfhJ7RaLTQWxcXFyHTpv0DDcVxFRUWg/nbBERS7abOgcPXsQP8r\nD0YP8RVsV3DkvwhZUBmfWRBYllWr1REREQ899JDYOcxrA1k/SKeHBMdxcrlcEIScnBxCSFFR\nkdVqRZ+jo+x2u8ViGc54c9NJ19TUbN++ffv27ZMmTVIqlQ6HAyIjGjuYCSwxMXHdunWVlZX4\nmJCQANVFcI4H8fHxYvlP/L/XA49UKl2wYAFV5eIizK/Ux06cJM2f7oJ9v6GhIT8/Xy6Xy2Qy\njUZDIycI+Q8zHBmIdsJZKCwsDMlY3SCRSGbOnNnf3w8Gu9TUVCxKvsNiKDCQINbzPC/2H/Dn\n5241iYqKwhkpLS2NDl2dTjdYrgvx8MZv6+rq8POTJ0/yPO9nfyJNjtvFQOvvWStaCBhJCSHR\n0dGgDTp16tTtt9+u0WgEQRBycvoZJiwsjPrY+QA9R1VWVu7evfu7776jXyHuVaPR+O+f5/0Z\nY4LdGEYEYuXwxx9/3NDQAJr1zMzM7tpagZC6+PjgNCIMw2g0GppvBxsPipowYUJpaWkQZcrl\n8vXr1/f19Z09e3bmzJkajebZZ5+FcoLjuK1bt3r64sB15ty5c5s3b1ar1faBTM+fffZZV1eX\nWAThOC4uLq6+vj4nJwfiQkJCQl1dndFoPHHiBN2fYO6hWwXVcAzfj8QrUGxKSopKpYLbE4y8\nUql027ZtEolErVYvWrQI9S8uLq6trY2IiIiPjy8rK6MbXlhY2GuvvSaXy81mc1tbGxLFQkPm\n1YMHGJHME0FDvNe6HYj9pyUTW70Hg6c9i/HG+hEZGTkcUUmj0Vx99dWnT5+GKkWsGIOS288W\ncRwXFRUF9gQUYjKZAhKVfOtBxUhISGAYJiQk5OjRo0lJSbQH6Ph3ey6+xSzzLC3QCUIpdQIt\nhOf5wbLiin9ODXYrV64MqGJi7+GAhoSb3ROzLzo6OogoBIiVcHUYcjp4FZXo3Me3kyZNwnWx\nfValUg3GuM6y7Ny5c8WSMQhQjUbj2bNnExMTa2trEWQjnoO+NcdeodFoaEo9z4hjZgDEv8lO\nERIS0t/f/3VsbD8hXV1d/gh2OFE/+OCDXr/1N+7VN8YEuzGMCHwMfa8aOxzFDAbDxIkTkaRZ\npVLt3bv37rvvdgtKZwZnk3IDtFnwVKMGDoVCERERYbFY6ESlpe3cudOfYimMRuNzzz3X1NSE\n2oqb7z/xgSd0Ot3zzz8vCMK0adPo5ooCk5OTtVqtG7ew/5u3J5YtW2a1Wl955RWFQrF06VJY\npVNTU/V6Pc/z8fHxYWFhp06dQqN++umn8vLy66677vTp07BbGQwGQRDefPPN+++/XxCEn3/+\nGTnQfD80OMFOXGx4eDgVLtmBPHK4gphKfwoUby2MiH/V7TZ2ICWJm7YpNjbWYrHAgSkpKen4\n8eNdXV2BNysABKpEnDFjBmX+g9mUKjzEcgN15USKVVjDfWd/9wHPDbukpOTzzz+3WCx33XVX\nQFqTIEZ1UlKS2JSJJOs0yYS4RW7kl7SXvKZCgcb04MGDn3/+uadfvxiFhYV9fX0ymezo0aMP\nPPCAXq+HAliv11utVpZl4aoll8vHjx9PVx6O46JF/JcXASNyXGQYBgspbCmU+POhhx7Cok1D\nMcTOi+ISgo7ugvYxoEQmbpBIJAaDgXKAWywWm83mT4If2gSvgxlBY/CxS0hI+AfLfsZxQ26X\nIxD36htjgt0YRgRi5bAbH/pgptjx48e3tLSMGzdux44d27Zt0+l048aNg881TH5+uoLBvLV6\n9errrruOENLY2KhSqaBMGj20tLSIm89xXFlZmVKpdDqd3SJER0fDG8ytLdhR6JIBelKsehzH\nUV+Q66+/3pN7icIzT1RkZGRaWlpERAQuGo1GLLV6vd7hcERGRoaFhbW0tCxevDgrK6u0tPRf\n//pXVFQUy7IFBQUQAmbMmPHee+9RkvQNGzaEh4efOnVq06ZNhBCWZT1fvVQqra6utlgsc+bM\nofWRyWTZ2dmQugRC3g7Eq89PE5InoqKiCCFWqzU+Pl6lUoF5gQbhinHttdfC/jgc9PX1TZgw\nwfO6RqNBBJ/T6RT7mI+SLtYrwIYFwQJCuXhPTUxM9EdqpMeh4uLisrIyOt4gC9IS5HK5Wq0+\nfPjwkiVLCCHl5eVffvlleXl5eHi4WCc9GMRTw9ODEG6p/jR5ZIHWickCKeB9uG3bNiQLOXXq\nVGhoKDWSwolCpVLJ5XJxgD9Vp9F0MoM92q3HxCrn0NBQSIRu3oSMt2Bw8be+nzh8oM5iehfM\nPnhGiusWXDw4wzBarRaC3WhElA/HE4NhGETF6nS67xjmr94WSTeMQNyrb4wJdmMYDZw7d+7J\nJ58khMycOXNlZ+eIRMXCOYxhmJSUFPGK6QN2u72wsBCTFk70CMhAABTDMFarNSEhAcp//ITn\n+UOHDqWkpOAjOMaSk5PpcY1hmOXLl//73/8WtxcnMDh0w/1OEIQzZ87ceOONbjkG/FxeZTKZ\nzWZDhJRX1z2GYe644w5aTwRGpKWlQbghA6u50Wisr6+Xy+W33XYbrKiIt0pNTSWEWCwWer9v\nbN26FespWvfOO+/ceeeddXV1TqfTa4sefvjSW4HfAAAgAElEQVThLVu2QJsiEPLmgM8Wcnhg\nr4LtWwyO45qamvbv308GEYMMBsPwxSNssUql0mvNZTIZGBkwxmJiYpxOp5/jLTigZASd0OBK\nP38VEEYv84TD4YBGhHir2AgmeaOghrPgfsuybFFRERW78TcxMTE+Ph4lY2y47fcFBQVDFv7S\nSy9hMpIBc4FY2RxchYeEuGSj0QilrF6vz83NPX/+/OnTp32Hykql0vLychTicDgQwuy7e+nZ\nwE+RaLSznvA8L5fLURlEoPvJJO957oJnwuTJk/HRLWaivLzcbrePGzfu8OHDu3btMhqNHR0d\nQk6OwDCCIPhjihW85aUIOO7VN8YEuzGMHqqrq1evXh0plQqEzCoowMQoLS3t7OzEkhoeHh4z\nAKyG2LlDQkJiYmKwyZWWlrIsC7/aK6+8EpwOer1eoVBMmjQpoJgygPKeJCcni6M0WJadOHEi\nI2Jaio2NFavfMfN7enpoA3t7e7/++mtBELq6uubMmfPGG2+g8JCQEMpbBkilUqvV2tDQ4HK5\nxLKXyWSC7UZ8p0Qiue666xYsWKDT6X7/+99DNGxoaIAygDLo3nHHHRs3bpTL5SUlJeITPMuy\ncXFxGzdufPfddxFpa7FYlixZIgjCm2++uWbNGj+FOUCv13d1deXm5iKJJPGmVhED1RPzzYpN\nsdD0IE+luFf9h9v9SBQL9QBVKTkcDrVajTgYKIAx3rDuB82EjKLc8uDB+8dNZeJ0Ot38B2Db\n9UyLFEQ14MTZ19dXVVWFRtXX13salZRKZVVV1YjwTbADmZ2ioqKgmxFv5wqFIi0tbUjNnBty\ncnJycnK8msLdLoIljqquBxPp3Fyj4JiVnZ2NSIXCwkKQluMVlJaW6nS6+AHH33nz5kkkEpPJ\nFLQMyjCM0WjMz89H+X6GtsDET3NMI7ud2NlxsBGCRZL2OR2WPM+LYz9dLtddd911xRVX4OPa\ntWtXrVqFMiUSCcLCxo0bRwihGbdSUlIMBoNUKhUn9EPgEXjO6WCAf554JODdubFHIVA9OBZi\n/Fyswsfj4BQh9szTarU0FU18fDy8cex2O2prMBiWLFkC/xaO45RK5YYNG4qKihITEwsLCz07\n2dOIPBhA2RioYBdQDwSz9Y4JdmMYDYjp3GCKTRgg8ero6Dh58uT58+cdDkdjYyP9ydVXX00I\n2bVrV0RExJo1awRBaGtrI4RcffXVISEhYCggF677I6VEMRgMpaWlHMf19vZiEcGunJGR4XK5\nsNaHh4d/9tln0FHROhNCampqBEHo6+sb8ikqlWr9+vWXXXYZEVkTEhMTu7q6JkyYgHz2ZrPZ\nZDJhGert7YUIgsrAU8efJld6AIymLpdLEITc3Fye55uamlasWAF/QVomtkCVSiX2Plm8ePGk\nSZMMBoNMJjt8+LCbBVMqlY4bN04cv0w9nChGNXiCZVnK3owrHMfhkNDZ2Xn69Gmcv72KHexA\ncncgoOHkv2jotdj09PRAt7qOjg7Esebk5Fx66aW33nrrjh07rrrqqoKCguLi4kOHDimVSrrV\nZWVlvfHGG9XV1Wq1+pprrkGIZUpKSl1d3WWXXWaxWMaNGwc1ZHx8fHV1NQ5IarW6uLg4PT3d\nUy5JSkoKjmrYU54Gc6TRaMzLy4uKivJT9ITrQkFBwaJFi8xmM8MwGJNqtTo0NPS1117jeb6o\nqGjevHnQTkml0muvvfa2224DbRBzYVb78PBwsZDN87z4uDLkqNBoNNHR0SzLhoeH03CBkQV9\nLo29ZS5M0iBWBCoUirCwMPHxBqBSFy4+//zznmpyMngcDPqEPjQ8PFzs0srzPGg7ZDKZ0WjE\nNGRZtqWl5ezZswcPHvThRuIDiOEYbFRg/acEn+IK+xCC8Q/WNJlMZjAY0tPT6Qk5NTV1MGdQ\nNy+aKVOmYDip1WqdTqfT6eD38ieFop8Qp9Ppp2AXUF6KYDbgMcFuDCOOEydOwCm7oKBAIpG4\nDAaBkCkDRkOgqKho7dq1Npvt3Xff/eKLLw4ePKhSqZRK5cyZM1taWqCpeuONN3CzW5YnT8CP\nChp4uVyemJjY1tY2adIk8U88Mz1QbV9RUdGsWbMiIyMFQdi2bRu5MA+02WxeuHAhUjJDQ0Zb\n2tbWtmHDBiHwzIBYnpqbm+12O2Vakclk1CDCMIxXN0HUX6lU2u12rDhY0MlQcgm+RUBiamrq\nYGwyviEIQnJycn19PTymewdWir6+PngUiRvI8zzCCyDYiRNOUNIWiURCE+moVKqYmBi3PYZq\nF0jgfjDvv//+K6+84nK53JhohpTJ8NCJEye2tLTAQ6iysvLSSy8N6OlegSZA8mAYJi4uzkfT\nQOhICImJiSkqKkpNTR1te9aIw7fBNNCDGcuy8fHxnntwTExMaWkpwzDt7e2UHo/qti8awLgB\nMQt1GD3zPSEkNDR0yPLZAc5qfPRk2xGLszabzc0fTlx+oG0BnxS4ETzp38U1pKfcmJgYiUSy\nZ88epVKJ89j111+Pb6l0deutt06cOBG/OnHiBPw4iSiuguO4+fPnnz59Wuw8E2gyaE9AhSnm\nPoRgh+PKSYkEPnZ+CnajjjHBbgwjjoaGBpPJ9O67727YsIEQMrOiQiDki1dfxXygCwfNLQ31\ngM1mmzZtGr5FqDx0P26KDalU2tjYeNttt4HEjuO48ePHnz17trW1lSpvCCFFRUV//etfn332\n2dbWVjejGBiAMeEXL17c3d2N7QferFdffTXLskuWLDl37typU6fOnz8vbtqll15qtVrFV1au\nXHnkyBGcwGJjY2tqaryeuugSE4TtWAylUjl58mR/gg1dLteiRYv27Nnzu9/9bvny5cXFxTNn\nzhQfc+EUxTCMSqXCItXa2jp58uS6urqGhoZp06aJ69/a2trU1CQIglwuDw8Ph/94SkpKVlZW\nXl4e0qubTCaWZfHWGIaJjY2FbEo1diqVym63Q9GycOHCsLAwmUw2bty4jz76yK3ycrm8oKCg\npKREXGGZTKbT6YLYrR966CGZTHbgwIHZs2dDc+PDlkcGdAalpaXd3d2IOLnjjjsEQWhqaoIM\nnZ+fj+gQMqCRio6O9scWmZubSwjZs2ePxWKRy+VTpkxxS6cWnCgQGhpaX19fUlLy68xU5jUC\nVKyRchMgALPZTEVwenEEa6VQKOhYEks//oDneY7jNBrNtAGMHz8eYxVn2i1btpCBFDUVFRVp\naWlDGnlHVQp0Aw3IwHFrw4YNUAbff//9K1euRDyvWOZzOBz33nsv5MLQ0NDS0lLogN3qD2FO\np9NxHGe32/ft27ds2bJA69bS0kIpJ/Pz8x0Oh9g2rdVqX3vtNZlMJpPJGhsbS0pKyIUa1qlT\np8J9DeTtnuWLBxJdDcQHhiEHm0qlkslkU6dOXbNmjUKhaGlp+ZfLJTDMqVOnflar/x0RcRE3\n20EwJtiNYcRhNBrXrl0rCILL5VIoFLdcdplAyHtPPkkIiY+PN5vNs2fPFk9FvV5/ySWXnDt3\n7vTp09ThDKtDoIsCIWTx4sWNjY3049NPP/36669fddVVhJDs7Gx4eVN7q8vlgs6f47gzZ86s\nWLFCoVDExsYqFArkk6Do7+/fv3+/TCabNWuW+LpMJrv55pvxPyHk8OHDXvskPDwcCweVVMrL\ny2GB9dEWsaygVCqpKOxwOBISEqZMmdLtDR0dHcjHRT2mBUGAbIePcEmBMIecufh/yDe7fft2\n/ymCNRoNvAOHNMUOnxwYbLc2mw3qT4PBYLPZwsPDY2Njb7rppmeffVatVsfHx3tWXixVUKqL\nzMxMjBNCCMrRarXFxcWwYqtUqubm5vr6ejF9vD+AT9IwWxoEqDI7aD8nN6hUKq+vDNuhy+Vq\na2uLjY1lGKawsBAiL1ghRuTpFBzHlZaWBs1Di2BeZiDfhj+BERRXXnnlxo0bg3suhefEcfNc\nJITEx8fPnz8/IJqPiIiIIU0c/tTNT0ETviJ0PYHQQwZmE3WPg46NJpobElSTnZmZSfVkqNWB\nAwfefPPNxsZGvV4vk8mcTictk0Y8+AmYuSdNmsSyLI7c0DLQF0GNwtSQ4lVYDCKl2OhiTLAb\nw4hDKpXu2rVLEAS1Wl1aWpqk0QiEPPCb35ABP6Gvvvqqrq6OEBIeHt574Wg7c+bM7Nmz3fYA\nvV4/efLktrY2qVSak5PT2NiYlZUlXuzCw8OpT1hJSQkWESjqxNYHqVT63HPPzZ8/341P2Gg0\nIriBEKLRaI4fP07zSVRVVYkDLGw226effiqucFRUlMFgWLBgwapVqwghzc3Nq7xBoVCUlJSA\nEAQ1mTp1qt1uF5NxSKXSpKSk5ubmq6+++v7775dKpddff31vb++pU6doL509e/bOO++k5kuv\n/f+Pf/zjyJEj1113XW1tLURDQRBefvll5K559dVXJ02aNH/+/CNHjrz33nsnT54sLy9vb2/f\nvXv3888/f/To0VMXghZ79913k4Gz/oQJE2JjY6Ojo+mqCn+a8ePHHz16lBAikUgsFktVVRUh\nRCDkDzIZGdARKhQKkI66RY0MCYlEwnFcENyknqCrs1va36CLioqKwjkEUrInA6o/GL7ByH9Y\nLBaZTNbc3Dx+/HgfKoog1Eharfa3v/3tt99+q9PpbDYbiNykUimkKGoWd4sPiIuLy87Oxhau\nUqny8/NPnDjxwQcfrFy50mazHTt27ODBg5DCk5KStm3bBkZJtVqtUCgmT56cl5enUqnwCrAU\nwGF0GD3kBceOHXvllVcg0BcVFSmVyra2NqwVLMtmZmbS/AdehyjDMHPmzEFit/379994442B\nJnEJCQn55JNPli5dCgkJTnVu76i7u3vfvn0VFRXLly9H1mMkzaPkNQUFBVjNKBeSG1OmVyCg\nfvXq1RKJBMOb47gtW7a48QMQQjQaDcuyixYtSk1NxfqD7WD79u0BhW35roxkIDUljX5tbW0V\nLnRfYy7M9eIPB9a99947mBhNg50pLBZLR0dHd3f3abO5n2G6u7v/yXFfIhfFL4sxwW4MI46w\nsDAw8Wg0mo0bN+aGhwuEZGk0hBCwXdCtFIo9MX744YfHHnvs8ssvRzDBlVdeSSM6BUFwuVxT\npkwZ0jlMpVKtW7eOetNj+SMDh0un04nNprGxURy8aTQaw8LCkAwN+STELuQGgwFqRbcKP/TQ\nQ/7rDARBeO+998iFTifghn3++ee///57cckVFRUVFRU///yz+OLXX3+9Z8+ezs5O7F70+ldf\nffXUU0+tWLEiLy+P+qpXVFRs2LDh97//vSAIzz33HCHklltu8bOq4joDoC9++eWX3QhcvEKs\nCUOuWDKw2yUkJDz88MPLly+HPUun00E6tFgsBQUFBQUF6HYE5dF9C0kvfvjhh8WLF8Nz2Z/K\nI6kuufCoDXeZQPthOGAHSJU9wQww6WPPY1nWYrHQRK7ieuJOtVp9ySWX0ERwNCOL76fn5uZS\nZhyj0YgzT15e3ksvvdTb24tjw/bt2z1tpkaj0eVyIZzQaDTSZMdWqzUmJgbUYjExMW1tbXV1\ndfS8FJw4GOhP/IE/UrunDgaxHWRAz4RCIiMjv/zyyy1btixfvhyiErRTcGYIzpCqVqvj4uLw\nlr2WwLKs3W7PyMhAHZRK5ZAtQjxTWlpaQUFBdHS0wWDo7u6eM2cO+KgLCwsFQZDL5QiGZRim\nq6sLizbDMFlZWePHj5dIJHFxcTAL0BjwgoICHHHF4vLtt9/uth7SYSaWqG666SYcC31j8uTJ\nPM+7XC43xRjHcRAQvXYRouw1Go1er3/iiScoPwjOxm43Y+H1Mf3xiISEBJPJRKO2Fy9efOml\nl2I5MhqNa9asMZlMc+fOTU1N/U+zA4yKHXWMCXZjGHFQOjeXyzV9+vTa1FQ3HjvkNITDWZ4I\nWVlZP//8M8/zubm5VqsVks306dOpYXT9+vVkgOwbRWE7xP5NPX+lUmlCQoIb/xAz4LkPOY/j\nOEEQ+vv7z507B8uRIAh/+9vf5syZU1NTs2/fvjfffPPUqVPHjx8/evTo8ePH3dRXYnz77bdv\nvfUWEuOuX7/+mDdYLBbYcHt7ewkhJpOpra0NiR2ZAQ7YHTt2iPMGiivzwgsvrFu3DrloCCEa\njWbq1Kkvvvgi7qSFMAzjdDoXL178+OOP9/b2fvPNN998801fX98rr7ySlZXFcdzNN988Y8aM\nrq4uareNi4tLuBBuhl1aH47jrr32WkEQPvvss9jYWPEGg8CUpqampKQkz41nmFGxYG/ZvHnz\ntddeG5AxEVa2vLw8PzU3HMf5w1pMu9r/mkyfPp1hmJ6enuLi4vXr19fX1+P0bzabH3nkEXH1\nsOWUlJQUFRVlZ2e7PUUul+/bt08s2fuGVqul3D2+QdWxcrk8Ojp6yZIlYn8GSF0WiwV6WYZh\ncnJy4Befm5u7atWq6dOnU8lsMLmfZVmz2RwXF2e32wMyy2q1WuplxQxEfeJ8yDCM3W7HNgxi\nQnhGOhyOFStWwEG2oaGhvLycsnYD0dHRoOb2vxp2u91HhjGe57ds2fLSSy/5UxRka4PBcMst\nt1x55ZVIykeLYkQBQyzLis8wbm4DXmvS2dlJ8xYCEonkmmuuOX/+fG1tbXJycktLi0ajAfkL\nIQSSq1arVavVeC86na6oqAiEalFRUTabTeymbDAYEhISZDJZbGxsTEzMKQ/09fVVV1e7TbrB\n3rjVajWZTGFhYdu3b583b15iYqLD4aivrw9UlylGVVUVeDopMFlcLhf6bcqUKQzD1NTUUMVq\nWloaIr1QTwSY0xeBdmFxqKmpiYiI4Dhu9erVarX6scce271799exsfCxGxPsfkGMCXaji9On\nT2PfwnLglnlisBluMBjsdnt/fz84b2fOnAnJBoxThJDw8HDQRIkXaHjGwL4Djkpy4aarUCig\naWtoaCADpMSEkB07dqC2u3fv5nl+xYoVgh/Brb4bXlNTc/z4ca9fUVI6CHbPPfecIAjz58/P\nzc1lGKakpARmAqVS2dPT8+GHHwZUmfDw8NmzZz/88MO+7586dWp2drab6cR/0BgCit7eXp7n\nr7rqqq1bt4aHh+Nif3//li1bQCL9n3r6LdgFyoUGzJgxY+nSpXTjDw8P7+rqam9vh4EJvokl\nJSUdHR1IKBQaGuqn05LJZEpLS0MUXnx8vEKhqKyshG7DfzUtHY0gMqSppcxmM7wz29vbxSOW\nqhPA49/e3r5q1SqoJaiPv0ajaW5udjqduI5gDlhy8XOkEg8NDaWOlaAIgbtbS0sLbIhWq7Wl\npaWystJms8Gpi+f5np4ecEQHCjCo7du3b+7cuVT5R50N5HJ5ampqZmamuLFmsxmnMkhssN8x\nA6Hfvm3uiElcvHgxYuq7urrCwsKWLl2K88wnn3zS1dXl54umuddMJhOteaBq3VmzZk2cOJEQ\nMnHixKlTp9JHI3ASOWn0er1EIlm2bNnF1BkHp030RHp6uj/WTKwMOANQDhT6LRoulhQRG47U\nJqmpqfAAVqvVoLjCmIeYKGY2kEgkNpsNHKgOhwPFDjZgPLmUYZwB3R0UhJSnKYjuoj52P6tU\nY4LdL4UxwW7UAVe5/whkhAiEpCkUl1xyyfvvv19cXCyXy+12+2uvvQYZKzQ0NDQ01Gw2l5SU\nwMyqUCigD/ATWCamT58OJkwYUDA/n376aVTpjjvugC4da+v111+P6zabzeVy/e1vfxMEobW1\n1U2hNZj6KlBgpaOhvmDIozlPMzMz8X9oaChoGmbNmjV+/Hi0jmXZiIiIsrKyWbNm+a7MJA8k\nJyfLZLLp06c/+OCDH3/88axZs4qLiw8fPvynP/3J86jtuwlXXHEF7NTii/ArGjdu3PLly+lF\nWm0EHgqE/MVgIISUlpa2tbWB156IvNfFtnW45RFCzGazVqs1Go0ymSw+Pl7MicWybEhICLUT\nQY3Hcdzy5ctH0EMf4g7+ZxgGm8cjjzzy9NNPd3Z24kEKhSII532IEZdccsnSpUvnzp3rowSV\nSrVixQrPCETf0Ov1BQUFzc3N2A4NBgPYdxMTE8FkO2XKlD179jzxxBOFhYW+JYz29nYaHUmt\nchKJhOd5TKXo6Gia7h3eTgzDiDlyA0JJScktt9wCHZJ4k4ZQWF9fj3fNsqzD4SguLi4qKkLv\n6fX6ffv2ORyOIXdl6pUBvuhx48a9+OKLyJgXERHxt7/9DfS2Vqs1JCQEDluBtuKqq67y+k5h\nakxOTobpsKysDKl0JBJJZmYm3rJarYZEa7fbw8LCaP4xeJcSQmQy2aOPPkpVpxKJRCaTZWZm\nInWh/5VUKpVRUVFms9lms/njXAHo9XqlUjljxoxZs2ZpNBqJRFJTUzN16tRpIlC9HfHgNACs\nVqufcq1Codi+fXtPT4/YDiC2R4eFhS1atGj+/PmhoaEcx/nJC+2JuLg4NxW4uDN9dCymw7sy\n2X+CJxhmLCr2l8KYYHeR0N/ff/bs2cVNTQIhwl/+IggCotAxJYqKij788ENPV7YhJ2FaWppK\npcrIyFAoFODbVKlUt9566969e3HaI4QgUwUZ0I199dVXIKcAp4nYfe3VV1/94YcfLkJv9PX1\nzZ8/X7x8YHf00dLi4uJ77rnniy++GLJw6v2zVIT58+cP2Zli7N+/f//+/eJixZltPv7444aG\nhrKyskceeeRPf/rTp59+mp6eTqMEEDRgMBg8w5kFQt4YYNGDAw0hJDQ09Pz58319fRzHIUuP\nn5VE8MStt9566tQpbLpw/Kqqqtq1axd0t5SlJTk52WAwyOXyiIgIu91eWloaUIcAy5Yt88cw\nBE0PbPFHjhxRqVRWq3Xjxo0NDQ1QOVx22WUbN24cJWcyMXw/YjiZ1Il/sZaeHpAKhUKn00kH\nXC2pDkZ8BoMEGWhIje8ZRCUApEPYtGnTRx99BKYeQRTmtXr1apZljx49+vLLL9MCGYbZt2/f\ngw8+qNfr8/LyoOtlWRaBX1VVVXSYIUue3W5va2sLThWHtlPNllwub21t3bRpU0tLCyEEQ4gM\nuIrm5+ejJ3ERxgekpDt48CDS54hLi4uLmz9//o4dO5588sn29vagpR8yQL7oSULuiRUrVvhT\nICWiS0lJKSsrg6Yf/sFtbW1Iab1u3TpCyIIFC+rr6wezQXMcd9NNN2HJ+uCDD8xm85EjR378\n8ccff/zxq6++QgoKlmXT09NLS0uVSmV3dzchRKVSzZgxAzZWsK4SQsaNG7d3715I0m6ji2GY\n8vLy/Px8tVrNcRzsPILwHx+73//+939nmC9UqhHeOYLAmGA3hpEFoh/eeecdfNywYQM0dhDs\nMFWoL+r69etxW29v7zXXXGMymYRB1Gb0Y2RkpM1mKy0tVavVSUlJsONAeps1axbdLehUhG4M\n66BWq4XbjacvXUC6q+Hg008/XbVqFY0OYxgmPT19yZIl112ImJgYtVpNf/Xll1++9dZb33zz\njdcyT58+PVhACdYycU9OmTLFd04wccn+LM1DwqspFhLkiJQPoXDlypUg1wgNDaWujf/7v//r\nj9scz/PR0dFDKjzkcjkNLXS7GYHVhJA5c+bA2zIgcBwXqFORUqmcNm2awWCIjY0Fxw0R5Tfz\nsxCWZSMjIzMzM8GkY7fbq6ur6bfI3TfaRkMaBUK1rQqFIjk5meM4cKYQQpxOJ3Q/DMOkpKTM\nnTt37ty5U6dOxUWpVNrV1RUSEpKSknL55Zenp6eLFTxIIZWcnEwzr2/atEkmkwmiMC9CSExM\nzLRp04Y8a9EaPvroozR0AGPsiiuuEASBZtlyOp2pqakGgwFKHU/y7eFDpVLt3bsXdYApk1Ze\nLpd3dHTApI7lEWvIPffcw/M8FtjOzs6CgoLU1FSn05mcnKzRaMA0CSfmv//97wsWLKDPEgc0\n0Ke0tbXRhQVOC1RqxD0hISFlZWWIzLXb7ZTxB9/qdLro6GgMsO3bt6Mh+/fvZxgGaXI2b95M\nBmYHiEulUinWTM/ecDqdjz76KArp6upasGCBeCcSBGH58uWXXnppfX09XrrZbF60aNFjjz32\n5ptvIriEEIKESRERETTavb29HXWQSCR4xXCRpHYejAAET/xLJvtUIgl2cxg5jAl2YxhZIPoB\nhs7Kykq1Wp1uNiNXLNx9tFptZWVlRUWF1Wr9v6giQVi1ahVWWzf89NNPs2bNKi8vP3LkyPHj\nx++//37PlVen01HbB0LVeJ4XWwHgg/ziiy9CbhtyxRzZPhELu5TeaeHChTzP33333V5/snnz\nZoVCIQjCyy+/TEUTLNCCIEyZMkVMs9fZ2anRaLZs2fLyyy8Tb6wZ4iWvoKBAp9MtWbLkzjvv\n3O4N4mr4mfSmtbV10qRJeXl5nZ2dL7zwwt///vdvv/22qqqqtrbWYDAIhPxZpXJLQ56RkVFR\nUYHkmGTAfgenbLlcDgusGw8+ADsmNng3F+mgYTabwc0GOi4ybLUW4H+YBWKlAyq5u7v7m2++\nQThRQUEBWLiQ3IkQUlFRQbuuoKBAKpUWFBRgIFVVVeFFb9y40Ww2P/7441DHajSakJCQRx55\nZPPmzWJ3ftqEzMzMhISE6OhobOQojXIrgnKZEJKVlSWRSEJCQmCjx06fkZGBb00mk1arpbGT\nuOgnOwzLsm+//bZ4fMrl8pUrV5rN5o6ODrVavW3bNlzfsWMHIeTyyy9/5plnDh48CGfEe++9\nNzU1tba2dtasWUaj8ZVXXikuLob3JCFkwYIFBoOB5/mUlBScDzESMA4VCgUspDExMd3d3U6n\nE2pROh8JIQjAGlKjGfTQAmsMGVBao3oRERGNjY0QepRK5ezZsxsbGyUSCbIywqN38eLFiGsm\nhNTU1CDFTnV1tY/QcovFUlFRoVAo4uLi0tLSGIYRnwYRmu1GEQBGT/j7EkKCSEAHy0leXh7G\nEiLqqDsEGSDgpB9VKlVRURHP883NzTRb7u7duwVB6Ovry8/PZ1m2o6Pjz3/+86effvr++++v\nW7eO5/mcnJwHH3zwqaeeamxshIsqdeYGIgoAACAASURBVMuJiIj4r//6L/jA8Dy/ePFiVCky\nMlIsyUml0jVr1lxg5xkQ7H5UKE4jPPaXxZhgN4YRBzV0Yvq5BU8AugHgJ//zP/+j0+nS09Pd\nirr//vu9Gg6cTmdXVxczkIYS4Hl+7ty5yP0l+KENGg1fOq8QC7slJSW7d+8Gs4nJZDp27JjX\nn3z44YdPPPHE66+/DjL3mpoaMiDYffHFF6GhoTKZ7MSJE7jZ4XCsWrVKGKCaUyqVNTU1PT09\nnZ2dcrk8LS0NwhOWPIVCsWXLFvqgP/3pT26bZXDo6uqaNm0a/Sju58GCJ9RqNeX1GPJlEULC\nw8PdkoiMHuRyuVQqpX5LDMOAYg02naKiora2NgQ3YNenKiKGYaZPnw71W35+PuTXadOmQUfC\nsqzL5Wpvb0cIXkNDg1KpzMzMXLRoETiECwsL6+rqqLsCwzD5+fmD2c5wf01NjVwu12q1Cxcu\nHOxOm812++238zwPxlfPd+QPmpublUplbW0tqBmXL1+elJQEERBxD+grMKTo9Xo42tNUK0aj\nMTo62uVyyeVyRIUTQlQqVVlZWXd3N6WWxYyGwKdQKCIiIkJDQ8FPRAiZMWPG2rVrL7/88iVL\nltxxxx3Y2uGsBqrIP/zhD4IgVFVVjVTEAAX4d3Jzc++8805MKK1WS4UqtVqdm5srCILVahUb\ncwkhhYWFdrv96quvNhqNZrMZVEpiPSi0Qf7XRKlUgrTParXSmKHKysrXX3/9nnvuUSgUMTEx\nGo1m+/btXmMd2tvbv/jiC99qezJgc3c4HDExMVhpafbC5ubmxR7QarUymczlci1evBj3JA8A\ngUdQKKpUKrhmwgovlUpp/KxSqayoqKBZMaA49KEwtlqtd999Nywbq1evzsvLo0Z2/zuTEMLz\n/Pjx4xsaGiIjI9EtNpvtzJkzdDVbt25dYmLiP/7xD3ykit7/g0hjd2ZMY/cLYUywG11QQyey\n/t2+fLlAyCcvvDBp0iQafaZQKGB8qaqqgnMSwzAHDhwQl7N161ZCCMuyVqu1p6dnyZIl0Iqj\nhN27d4NJ6PTp07/97W//+te/ulXDdxjEYNLb3//+995RmABupHQ//fSTIAg9PT2rV6/+4Ycf\n3njjjZMnT/b397v9avLkyQ6H4+zZs+JYWkEQ+vr6HA5HY2MjPvI8f9999wmCgHP5Cy+8QEtY\nvXp1eXk5/IqSk5NxmL7rrrvoDch9NGfOnKCjZeHeh4hR+PZNnjwZFiism/CxAwdNa2srhFRA\np9MhpoTjuKioqNDQ0NzcXB/6GwTHuO0HYkBlBXMkKsDzfENDA2QauOL5udwrlcq6urobbrgB\nmhJBEKAlDQkJeemllwRBkMvllHHaB8RGf4vFUlNTExIScurUKblcvnnz5traWkirdXV1Eokk\nPz+/rKyMZdmuri6qZQkIbiICtvxz584hSKikpITneby4tra2srIy2o2pqak2mw3aUIvFErQv\nIDio8b9UKoVH2rZt2/r7+7///nskGiYDREXx8fFUJRMSEjLMhHuEkMOHDz/zzDNkIN8G2DoQ\nC4yLCoVCoVDY7XaHw+FwOBC2FehTkNmFxuBPnjx5zZo1hJCCggIo5KZNm/bJJ5989913hBA4\nY+3cuROTArTeTqczMTExPj4+MTHR6XSKo83EwHGXJj9QKpXNzc0VFRXvvPOOP/WkznYIoMFF\njUbzwQcfWCwWT2lSfE4ecck4IEgkknnz5n399dclJSVGo3HixIn//Oc/rVYrbOVgoX/wwQfB\nkCIIwt69ezUaDYzs33zzTX19fVNTU319PZRt4pLZAdAGugnZERERt912286dO3fv3r179+6j\nR4++9NJLTU1NOTk5CDtrbm6WSqX33HPP/7nu5OQIDHPw4MHvGGaMoPiXwphgN7pwm6KeGrva\n2lo3TVt5efnzzz/vVk5CQkJOTo5KpaIWlp07dxJCEP4WHx8/c+ZMpVJ5/PhxZCxNS0tLTU3N\n84msrCzfld+zZ09YWNiI9wkVdh9++OGWlpba2tpTp06dPHkyLy+PrjvZ2f8Pe/cd1+TVPQD8\nZieEvZHpAFzgYKkgAoogS3HhHgz3aF+pk1dt1UrrFq1WCxS3VtRqK1ZpRRlqUV/9OWpFRVyA\n1lFFQIQ8vz/O632fJhDCxnC+f/gJT8IzYkhO7j33HKerV6+yU/0MDAxWrlzJfJhSoYEdwzBf\nfvmlmZkZ3DYzM4PhQEj4ZcfH8H7HMMyqVavgOW/dujW7K9qtW7dg7ESx1qgqlKf3mZiY9OrV\nq6Z17GB5IAwSdO/enT0XQwihLSDpN3sjI6PLly8rfjRCH3FIQuLz+Rs2bIBoGCJ+CCjNzc2h\nfzyPx7OysgoICOjQoYPiKfF4vIyMDLjk8PDw8PDwS5cu6evrjx8/XiKRwPeHCRMmwCJHQohE\nInFxcYH1OqowMDCIioqq9mFeXl7BwcHBwcHwwSYSiRwdHeG5srS0tLe39/Hx8fPzCwwMNDU1\n3b17d1RUlJGRkaenZ2lpKSwSgm5+0Hdk//79kLGk5IhQFA2qeECsrKmpCd/ERCKRq6trSEjI\nkCFD2GuWAYfDcXBwKCwsZL90s7OzlfceWLJkCdygn7UwGAkhET1VfX19WBXbo0cP+K4IXwwI\nIbDmvdpnUk6rVq1gJ3Z2dmFhYTC1Sv8w3d3d6euKrrdgGKakpOTevXvFxcUPHz68c+fOsGHD\n4Gw5HI6dnd2+ffsg/LK0tBw9ejT8OoxC6SiAHcpkspiYGMUOB+3btz98+HBGRgZM/wUEBERE\nRAwePBgW8NKHiUQie3t76IUAPQzZfw4wR79ixQpDQ8P+/fuTD+X34MsJ7cLM4/FoYV7Ii4Av\nNuz/YhcXl76V6dOnj6urK1TRY1f09PT09PHxEQgETk5O8MiwsLB+/frxeDxDQ0NYJEEI0dDQ\nMDc3h2l6eAHAPADNN4BIWlNT87fffqMdEWEFQ1RUlLGxcU3nfy9evFijx1flTy0tWBX7hsN5\nb2lZizfSeoaBHap37NUPzs7OENg5iMWEkAEDBsBQ2fz58yFP6OHDh+/fv690PwKB4NChQ1pa\nWlu3boUtI0eOlEql33zzjeKUE80Zhzdo9nZ6G0rlwa6qWkYK8331/pzU7v2Cz+fv3LmTqSyw\nS0xMpEMvgwYNgp4QxsbGtra28EEOd8H7HTyez+cHBQUVFxcPHToUCl789ttv8M4LRerhdo2u\ni6b3QaLSokWLUlNTYQgEijhYWVkxhGRzOEKhsE2bNm5ubpD7aGxsDDWrCCFisZjD4djY2Li5\nuQUEBMAawMWLF/P5fFgTAB85MFbH/tjm8/ldu3bNy8ujQ54ymUxPTy86OhoaKtAnDWZP2NGw\nvr6+VCrdvn17RESEiqGAnZ1daGgoDU3atGnD5/OHDx/et2/fcePGwVDN6NGjjx8/XtPkP3g9\nQ79z9kYIXiFJrkY7hNYCWVlZcCb6+voeHh6qtKlYsmQJLFlo3br1kiVL6H+0n59fQkICu4mL\nm5tbcHAwHXEH9F5YdTFjxgwor7hs2bKUlJQuXbrAU+3g4DBq1Cj6lUBXV3fs2LEQeUClD/gI\nt7Gxoc82hDsSicTa2hqm22rxZ+Xg4CAWi2luKD36vHnztLW1g4ODodjk8ePH4Vgwusx+EXI4\nnOXLl9flr1vJ28uRI0fgMfr6+gKBoEePHtCxkMPhaGho7N69G/5CP/nkE11dXfhThRLr7K6D\n9OW9dOlSmUzG5/NXr15dUFBA/xyWLVsGpfX69u0L7yESiWTevHm0PhwEeXJDtpDfBvkJBgYG\nyheZVVrREyYo2Fuys7Pj4uLy8/Nfv349bNgw9otcT08vKCjIyMho+/btJSUlsLgBSigbGxtP\nmzYN1gsLBIKAgACYDR89enRQUFDr1q1psSdo9AxfSIyMjPz9/RUnbdq1aycWi+HTql27djY2\nNtbW1nZ2djTmrrR4+4gRI9hRNdSxi4yMlGlqYh27poKBXeMpKSn5dPhwhhAnbe3Vq1fT7dBU\n8X+riioDc17QvoJhmCdPnmhpadG1UYQQaC0VHh7eu3dvCOZgTVObNm2mT59+5cqVkydP0pUH\nXl5ePj4+r169Gjhw4K5du6oaZ6LL5usXDXb19PRo+jkdY4C3DDs7O+j/Q1lYWLCToNmBXURE\nBCRBMwxz7tw5sVjcq1cveCrIP1OqR48ezTBMUFAQn89fs2ZNtaMmNboumt5HP5Nat27dr18/\nd3d3VQoUQyESeNrXrVsHM9T6+vrGxsYjRowwNjaGzxKYzhswYECfPn1gmk9bW1ssFrdv397L\ny4sOS8CQJy2GkpWVRZ806IYyY8YMGg1D3vSoUaMgeBowYAB8krGX/sEl0NSiWqxqhD24urp6\neXl17NhRQ0PDycnJxcUFVpxAjhocy9PTU/mcoKurK3vBCuSG0xuQ2EAHmWjOn/L+exA1jho1\nihDi5+cHH3X6+vpQwy8/P//FixfwdEGgPG/ePDhh9ncnHo/XtWvXEydOsP/TawRKdVhaWkLQ\nT5Or4Anv3bv39OnT6Tc0aEUKpZ5pKp6fn19QUBAhBEabOBxOhw4dgoKCYIXyF198ASERlLGg\nr969e/dOmjSJTnkLBAKJRMLlciFG79SpE5wYmDBhwqlTp+CJDQwMZPeM7t+/v/Jyhjwer0uX\nLsOHD7exsYEvWnK2bdum+FcpN+SmCH732bNn586dO3Xq1Pnz5+nCeTqyqPgesnv3bnjONTQ0\nTExMGIaBqiK6urp0UYuKavRe8erVK3aX6pycnO3bt3t7e9Nva5aWliEhIRs3brx27RrkpYhE\nIrl34+zs7DVr1vTo0cPe3p7D4dA1ti4uLr6+vtAtg12kCZ4BHo9Hx1mpsrIySE2BRAtQo9QU\nGlWXOTpiS7Emh4FdI7l27VpKSkrKd98xhOSePMnucAWZJcp/HcoTyK37s7CwgPlZaKlJKwnR\n8lQWFhba2toMwyiuPAgICBg9ejQUo9LQ0KDLSBMTE1NTU2NiYqysrNirTRsCe+0ezCynpaXB\nj3FxcXRSBlTar+L58+dLly7lcDhQuwFkZ2dv27YN1oLZ2dnRpaY+Pj7ff/99YGCgj4+Pvr7+\nxIkTu3btKhAI/P39o6OjaXUVFxcXqVQKt2t0OTS9D9bK9OjRQ+4TTiAQMIT8RyCQy3TR1tam\n1RlEIhHEH/3798/JyeHxeBCeUjt37iSEHDx4EFYwAFU6lxNCrK2tO3XqRLuh8Hg8Hx+f4OBg\nGLSAZ2nZsmUMwxQWFopEInZSuaGh4dSpUwsLC2/dulXTKsGEkN69e0M5nuzs7Ly8vPT09Pj4\neOhoSZ/AZ8+etW3bNiwsrGfPntra2kKh0NHRka5QFgqFMKyoq6sL+dp0pNnV1VUqlc6ePRtu\n0JHmn3/+GaIiuio8NDR08uTJsKgzMjKS/qfDvGp6errc1wY+nx8REQGjEX5+frCx2otlGAbq\nzojFYnhpRUdHOzo6yqVCmpqa+vr6mpiYQDQGn6wcDmfKlClv3rxp3749XYlC6/GSD+Epl8tt\n164d+z9IX1+fvTwTBoogENfT05syZcq8efMIIYMHD4YFH7169dLU1Jz3TwzDPHny5LvvvrOy\nsqo0s1AsFm/evBkOsWLFCvhSIZVKaSMWuZXmCxYsgFot27dvp6N9nTp1gnlz+KLFBsnEUBrN\nyckpMjISwh16AoaGhubm5iKRKDo6Ojw8XCQSmZiYDBw4sGfPnooVgLlcrlgshp4Kbm5uxsbG\nPB6vc+fOMN1pb28Pb6RQ09HY2Pjly5fQQhpmkCGoNTEx0dPTo98znZ2deTwe3O7WrZtEIqnp\nIrNnz56p8hKSA/XP5Qb/qt2P3D4/++wzsVg8atQouSRmqErdrl07iG5BLVNTsFdsM4CBXYNj\nfwGtdFUsIWTHjh3KdwJhSmhoqI+PDySvzJ07l8fjOTk5wWeSvb39//3f/9FvZpA5C+vFmMpW\nHmzcuNHIyKiwsJDP59va2jIM8/79e0JIdnY2HPHmzZtGRkZnz55tuGdGcWaZLpunK7woJf0q\nrKysoCYfW03f8hiGkclke/fuFYlE7MQ71dH0PoZhJBLJgQMHKioqHj165OPjI5VK4UNCyYid\niqtcVa+MTz6MqwkEAvholEqlOjo6z58///TTT8mHcIGCyNLMzKxfv34wBUw/2tevX3/06NHo\n6Gg3Nzd2b+Lo6Oh9+/YRQnx8fMLDw0NCQuhaDTs7u44dO9IRIG1t7evXr8P+5U6SFqDZuXMn\nHQ6E4Zlff/0Vns+kpCQYTUxOToYRxy1btlQ70hwYGGhsbPzpp5/SziWwN7kFNwzDWFhYdOvW\nbeHChXKBXatWrTp16mRtbR0WFgYpnsyHwjcdO3aEp6hdu3Z07BBak1VUVMBIG3vBYFFR0cmT\nJ+fMmePp6QkvBpiMk0sepUfR1NQcOHCgsbExbetJn8nu3btramr6+fnp6+v37Nlz9erVP/74\no1xHZtjJhAkTYDmOii8YFf924GGQAnHr1i1oZggbpVLp999/z/67gC9aDMNUVFRER0fTesJi\nsfjZs2dyf0SQTPzixQt2At+xY8fguDwer1WrVuzKfBwOBwJi+gDFhURVjS6zt1e7VAXeqf7v\n//7PxMSkffv2cF3GxsZBQUEqv0MwjNJMXLgcIyMjBweHI0eOPH/+nP2Lx44dg8E8mAeAqX8a\ny/bq1avS0kvQjxh+vH37Ni20ZGFhwa5a2rZt286dO0OOLByOJgsaGBhIpVJ2+qCPj4+Hhwc9\nsXfv3mVkZBw8eBCKuj9v04bhcPbu3fteIikyMqrRk9MgMLBD9Y5+AYWu4T0sLRlCnD/klTs5\nOU2dOpU2sFdC+ZuOHIZhEhMTW7VqxePxIDxSXHlAS+VBHgnzYZyJ/Y0QlpE20DPDMIzczPLg\nwYPpXXSFF5tivwo6jKS4c+iAVFW1uaCgIBhOE4vFtG8pvOGamZmxp5ZUR9P7mA8TOpDep6en\n165dOw0NDV1dXQjsuFyugYFB+/btra2thUKhv79/QkIC82HxMnuGuk2bNoQQc3NzmK1mV0ZV\nkZJoOD8/H2ZPfv/9dzqGJ7eAQCgUWlpasgudjB8/HoZeFFMeg4ODDQwMli9fLhQKaR1pMzOz\nyZMnGxoaQiaAWCz29vZ2d3fv1q0bOz0UvoRARhohhMvlstMVzMzM7OzsYH4Wxqfht+h0J1RF\n0dTUNDMzW7ZsGcSgcJdIJIKykewwi51iyDDMlClTtLW1PTw8oB/8tm3bcnJyLl68CMtHPD09\n2UlUMpkMWrK2bdtWLBZDL/nDhw/fuHHjypUrNPVQR0fn0KFDK1as8PDwaNu2LZwqNBJYuXLl\nb7/9BpNxPB7vyy+/TE5O/v777wkh8fHxOTk56enpUqm0X79+AoHg7t27NfofB3CqdHRW+cuG\nHQ4WFRV5e3tDiy26hsDKysrHx4ewJqkZVgpERUUF/c8yMTE5c+YMfa5gVDUiImL8B+PGjWvd\nurVQKJRIJIrd/Ph8/qFDhxiFOho6OjqKHVlgnRkMrenq6l67dk3uT/LixYsGBgb6+vowtGli\nYuLh4WFpacnOYIPh6oSEBHb7wUpXYUulUnZ/C09PT5FIlJWVdeHCheTkZBXfJeQKbbJnSA4e\nPLhv377JkyfD0WHNzYwZMw4cOABfXNPT0/39/dnzAFUttgMrV64khNAOh+w1+FWhlU2UPEZH\nR4cuqrt48aLcAhfaK/Y1IffquwxqbWBgh+od/QL6358fPYLOE+xmPqqoNExp3bp1u3btrK2t\neTyel5cX3c4wTFBQELTTgbceuZUHa9asoaXyYOkcHAXGmehB6TLSBiI3s8wenmHPLMuhyRyK\no3Q18ujRI3t7e/a7pJ6enmKtUdXR9D7mQ5l4mAqn+3d0dGQIeWVvD6X70tLSIG4j/6y3LJFI\n6Aw1TAwRQkxNTXv16kX7UJEP1WJpi1hra2s+nz9x4kRo+tmzZ0+BQBAREVFVNHzmzBn2eElq\nampwcDD7bCHM+vLLL01MTAYPHrxmzZrMzEyhUDhixAgYgFRMeYQsdSjlQ68L4l14lUJenZL8\nOUilgqra7OcW1rFWVQiDEKKtrR0ZGdmhQwcagzo6OnK53Llz5xYXF8NJjhgxgu6QveCGXoVy\nMG3t7e0Ng6ZmZmaQuVgjxcXF5eXl06ZNq+kv1gg7i+DBgwe0RwiQSqW9e/devXo1uxD3Tz/9\nNHfuXHaHLkdHxy1btgwfPlwuBeLZs2enT5+GJV/sFAgwe/bs7t27nzp1imGY3NzcWrQPhgI6\nMC6blJQEQ8W0+DP0j3Z0dLxw4QIcUSwWa2hoLF26tNK/yu7du4vF4krXiZuZmYWGhtLY19TU\nFP6LnZyc6MIXuURJHo+3fv162HNCQgKcw+rVqy1VXv5JM3GVz5A8fvx4165dERERdIyN7gHm\nASB/rqrFdqBz585Dhw6lO+RwOLa2tuHh4SNGjKBLfwCHw9HT0xs5ciT93fcfTJ061cTE5P37\n92/fvr1x48acOXP69u37+vVreJhijfdnNjYyDmf79u1lYvFrQ0MVn5YGhIEdqnewmpX+eOvX\nX2lLsVWrVgmFwrpUxIX52QEDBsAgh7m5ec+ePV1cXAwMDGDyhdYy5fF4rVu3Dg4Oph1Caak8\n+MRVHGdiWMtIGwhd4aWrqys3PPOPHjUNBlKYx44dm5SUdPbs2bq3U5ObdaKfasbGxjdv3mQY\nhiGEcXVlGCYjIwNK0MH/1Pz58/fu3fvtt9/CfyW89TMMM3LkSA0NDSVLQaFy2NatWzU0NIKD\ngxmGsba2jo2NlRvyZEfDNFH69OnT9AGQKF0tiNjMzMzGjBmjmPLI5/P79OlDCBEIBDSb89y5\nc7S1FJTehaABLrxLly6pqalQRJfmdFa6Wpk6e/bskydPBALB119//eTJkz///JN8GGmGWv8h\nISEQXssly7u6utJ09WHDhpmbm7P/r4cOHdq+fXv2NB+Mxg0aNMjW1pb9KQirEaGukK6urkgk\nkhvm1NLSsrCw4HA4AoEAHiAWiy0tLaErPHQOhb5eERERMC3bpk0bGKehrTzhqRYKhfAqghIn\nJiYmtFI0LGy3sLBQHJCWe1lKpdLExMRKV4xScNpRUVF79ux58OABFJssLCz86aefjI2NuVwu\nLJ5g57FBCoRc65fi4mIul9uxY8edO3dCocTg4GCYq+3SpQvUqdbU1ISaAIrs7OwgWMzNzWW/\n5rW0tGjzFQiA6H+cubk5l8tVXBAAIIGV/Vdw69YteBIgHeX3339PSUmRC/s4HM6QIUPy8vIO\nHjy4fPly6N4RERGhra3t5eWVwnLo0CHI7Kz2zQHIZeJWNUNSVFR06tSpJUuW+Pv7w2i0ivtn\nqzaJmb4kRo8eLZFI5JKqq0pNgXZkcFtx5h1z7JoDDOwaFq3gCp+m7F6xiYmJ8FZS64q4qnwS\nV8rR0fHEiRN05QGPx5MbZ5JbRtrIYHimEQ5U7RNVx/1Dca+xY8cKBIL/TtYQwri6Xrx4kR1A\nKLKwsGA+zFDTciHVFlqDArwzZsywsbFRMuQJidKBgYH37t2jG2mitJubW1WFDAghenp6dnZ2\nXl5e33zzjampKY/Hg7ohHTp0sLOzo2Mq//nPf+RqtsFnvLu7O6ztpTuEoZ3ExERjY2M6YqHK\namXFjEZ6LXSkWW7BjXLwu3LjwTt37oQbPBa5HgDs/xSYMVTlpQVBSWZmJofDgaLBMF0OJYro\ncy4UCuFrD80LhK89+vr6qpfjMTAwOHr0KP2x0g4rsAiUz+e7uLjMmTMnJiaGXW5GUWBgYGFh\noWLrl+zsbOX1aObNmxcZGamhoTF69Gj6BYaCL6swtW1oaGhtba3imN+sWbMqvXYoVsIwTHl5\nOYyVDh06FAqhDx48mP7fubu7v3z5csKECf7+/rq6ukuXLr19+7bqi4TowFi1lLxuv/32W4lE\nws5kpRP3Fy9eVHH/bJDEDAu6IYn5wYMHsKZ79uzZGhoa+R/s27cP8iKsra0hgU9JakpaWpqp\nqSnclpt5ZxgM7JoFDlNP3cdRpaAm++bNm1evXv3ZZ5+N69s36ddfye3bxNYWEpJKS0uhhTbk\ns9cItAVkf66UlpaWl5fz+Xy5d8OSkpJLly4VFBS0bdv29u3bXbt2LS8vz8nJeffunZWV1fbt\n2/Py8qKiomQy2bx58zZt2lRaWsrhcIKDg+Pj42tRjP5jMXbsWOWdzuGbeh3dv3/fzc0NPgLz\nCwpu6+q6Mszff/9NCNHW1p41a9by5ctnz57duXNnePz69etv3LjRs2fP3NzcgoICc3Pz9u3b\nd+vWbfXq1YQQMzOzvn37vnv3jqb1kA8rDQkh165dk0ql5eXlXC5369at3bt3V4wgQ0JC2rZt\nSxPSCSEMw3z//ffJycnp6env3r1T/Dw7derU27dvIYOt2usdOnToDz/8UFBQYGZmlpKS4ufn\nd/jw4XHjxkkkEpiIXLt2bUBAgJeX14MHD7Kysnr27BkcHAxpiFlZWadPn3Zzc7ty5UpgYGDb\ntm0rbSe6dOnS0NDQ33//fc+ePX369HFyctLU1Dx58iRc7KRJk3788cfCwsKCggI3N7fHjx+3\nb9/+xo0b+vr6DMO8fv26oqJCU1MzJCSErir9+eefv/jii2HDhsHIEGwsKyuD0bguXbr4+fn1\n79/fw8NDKBS+fPly4MCBjo6OMCz66tWr9+/fP3z4cNOmTQ8fPoyPj9fW1oZqMvDS2rNnj/Jn\n7KuvvoKRSGjPQAgxNDQMDAxMSkpKSUnx9/eHjStXroyLizt48KCzs/PMmTMNDQ1XrFihfM/v\n37+PiopKSkoKDQ09dOgQbNy0adPMmTMnTJiwbds2doT69OnT06dPnz59OiUl5cGDB8r3TE/s\n6dOnLi4u3bt3P3z4MCHEzc3t8uXLzIcRqWrJfQDVqMfDsGHD4FdOnDjx5s2buXPnjh07lr7g\nGYY5derUzJkzBQJBYGAgl8t1P/LJUwAAIABJREFUcnJasGBBeHj42bNn79y5Aw+bPHkyn8/f\nsmWLr6/vL7/8MmfOnA0bNixcuDA5OfnGjRtyRzQxMXn27Bn7aYeeuSEhISquUKnqdevo6Hjt\n2jXyIbXO19fX19fX09Oz2nZnSjg4ODg6Ou7Zs8fLy+vSpUu+vr70NVAVPT29ly9f0ttDhgz5\n4osv5P7qT5w4MXjw4OLiYkLIJ598UlFR8Y/xfhcXcukSkcmItjYxNCT37tX6/OtH27bk3j3C\n45F9+8jQoeTWLdKhA8nPJ3Xu7NKsNVVE2ULQL6AWFhZ9+vR5dOECQ8jJzZuh6AbkSfj4+NjZ\n2cFq1lq7du0aO2VK8Uu56isPaBH5upwPYqMpPuxVsV5eXk+ePFEsy7dt2zYul0tnqPl8vuKS\nPS0tLS0trWvXrkGyZo3+5MVi8Zo1a9int3btWrgLYpqqmgEw/yy4TY0cOXLYsGGjRo2idW5N\nTU1hvUKXLl1oRtrnn38OayGhGXl0dDSXy/3Xv/5F/xbi4uI0NTUfPnwoEok2bdqk/CmtNKNR\ncaRZxZc9LUhrbm5+6NChd+/esQds6IerVCoNCAjo0aOHv78//V1Sk0ooERERAoHA3d09IiIi\nMDBQ7gsYnEZV9RrZeYGKhdAqzSKA0Vl/f/8BAwbQqe3du3dDR4SZM2dWWogb+s5169bNzs6O\npl0KhUIYCYZXY1WtX8Ri8aZNm169enXp0iUY84O+CyKRiJbQS09PX7x4sYaGhuKh5ZKJ/f39\nBw0axP7Rz8+PvsxUBOkoOjo68M1EbiRy+fLl06ZNs7GxEYvFQ4cOvX37NnvE0c3NbeLEiR06\ndBAIBDCoyeFwbt26pfzFqURVr1uIC93d3euYOswGScwGBgaw4v7XX38NCwvr0qULXAWUFgIB\nAQHwNrJ27dr8/PycnJw///zzpQKoz9W9e/fOnTvDIRSzJt60b89wOOnp6eUaGiWs9UlNpkWO\n2GFg17Dk3mKqKncCancIJSlTipO89bXyQM1UWte03slkMoaQEkdHIyMjIyMjVeotb9q0iXyY\nhHV2dp42bVpERISXlxe8YJKSkhiGWbVqFS2sFRER4eTkRGtrVcrIyGjmzJnsE7Ozs2vXrt3V\nq1enT5/OLmRVC2ZmZo6OjnLtm2BJSo0+jPfu3VvtsSrNaISkQ7k6GtW+7B8+fAhFfYGenp6F\nhQWXy50xY8b06dO5XO6CBQv27NnDLuFrZWUVFRXFMAy7EgoMkbLrTdDbw4YN8/X1vXz5cufO\nnTt27BgXFwef5WKxeODAgTNmzJg4cSJMfolEIsgDU/LCqPYJhIdBaeKaFuLW19dfuHAhzfGq\nNG3A2toaitQw/4w4DQwMaLg2aNAgkUgEde9qmr+r/G1t4sSJ9PXcp08fDQ0NxbQB2lWsTZs2\npqam7Biay+Xa29sTQgYMGABxqo+PD4fD2bJli5+fHx01hMVDzIeMtOTkZIlEAt9MlJx5tVR/\n3dZRpUnMHTp0EIlElSYxBwQE0Iqqyl9dtD6X4ksLV8U2B83geVdr9AuoSCSytbWdGhLCEDI7\nIICd6Wxrawu9fWp3COUpU7Vre9pynD17ltbFAJCpplg6oY7+O6RKCOPqOnv2bFtbW01NzWrr\nLcPDBg8eTJM1AY/HMzAwgFXVUNqG3iXXUUCRYqK0WCyOjY2tUQ0/KDJ86tSprKwsdj4+pLVl\nZ2dfuXKFELJnzx56Xco/KhSpchpsdRxphiWEDx8+XLduHe1sa21tvXDhwtDQUAcHB/pIoVDY\nq1cvGAWR20lQUBCEODSdC7azx/+gsjT0dYAthw8fZj4sBodURT8/P+UvDMVxUznwMBiddXV1\nFQqFoaGh7ELcvr6+fD6fXYj7+fPnsASVVtWB2IgQoqGhIRaLu3Xr5ufnB3fBsBZ8tWBHnOxm\nWSqOqlZK8W3t2bNn//73v+F8PD09K+18WGlXMVhDAPPvgwYNIoT8+uuvkHO2fv16Ho83dOjQ\nTZs2cTicr776isPhjBw5krY51tTUDA4OpvmjZmZm0dHRdfzyI6eRZ0jEYvHMmTMrTWL++uuv\nxWIx3A6szKBBg+Tqcym+tB63aiXjcJYsWVIqEr3U1W2ci1IGAzvUcODTNH3fPrp4gqlzRVwA\nX8orvYv9DQwpOn/+vFAohLUjEydOhFETV1dXKDxblwkXtn+MPRDCuLoWFxdDShxUhiOE2Nra\ntmnTBoZwTExM6MCSQCBYsGABlEYLCgq6ceMGTLQZGxs7OzsLhcKcnJygoCB2xa/x48fT1GY5\nUHArNzcXpkdpojQ0DyCq1fCrtOMTLTKcn59vZmbGrpxHx1GsrKxGjRoVERExcOBADw+PiIiI\n8PBwBwcHmtNmZWU1evToiIiIsWPHWlpaVjvPWL8UlxDOmDGjT58+EMFoa2ufOnUqJibG09MT\nPuO1tbXl/u4yMjLgQrp27Qqrg+n/C8RDdPwPnhAejweVk6EbBFS7jIyMhBEyyG2FAsVKCnEr\nB6OzMD0qd5fc6KyDgwOtFANdH06cOFFcXEwLNkHIHhERAUNcCQkJVlZW9vb2chGn3BzxoUOH\nli9fDlN79NJUGZ2Se1tTUteXz+fHxMQwlaWj7Ny5Mzk5mRZC79y5s7W1tVQqzcvLg8KZEM9t\n2bIlKipKJBLBd7zk5GRCiIGBATu/DVqVPHnypNovTqqAhoEAVnJAf+c67lYVigP2VC0G7Ct5\naeHiiWYAA7tGAp+mMBU7vleveqmICxRTpij2NzCkCNavVFrX1NDQsI4TLtQ/xh4IYVxds7Oz\nzc3NVRmsatWqlZKHAZqs+eDBg23bthFC+vbtW+mZ0IJbjx49gkrI7M+t8PDwamv40YLbfn5+\nkyZNmjlzJrs9cUJCAoSwwcHB7LQ2Qkj79u0fPXpU6T4VRyyqveQa/x+oQK4PioaGRmJiopeX\nF3sKD2LTadOmwagVuwdA69atCSEcDqdfv350uhZy8r744gsOhzNp0iTY+cSJExVr7SqnpBC3\ncvB9Ultbm53NVun3SagUs2vXroKCAqghB6tzaMGmJ0+eQKwJL5uuXbvS1E92xFnttag4OiX3\ntiZX11cgENC6voSQgwcPVjVvK5VKO3XqBIXQFyxYQAjR19enhTOjoqK4XO6ECROEQiH07uNy\nufC1Z8iQIXFxcVKp9OuvvxYIBHSNeUxMDHuAvKaUDOW6u7u/efOm1ntWkZLKJjwez9fXF7ZM\nnjz5ypUr1e6NPfP+XxjYNQPK1qWjemRjY3Pp0qV10dFk376srKwcQsiHiriKy45qREtL6/79\n+5XelZeXp7xzdguXmZk5a9YsuhyVcnJymj17NuS31V1CQkJQUBB7Fer06dOfPXsWGhp69erV\nN2/ejBs3DhZgKq4AHTFixK5duwIDAxMTE6va/2+//SZXKN/BweHEiRNyDyspKTlw4MCLFy8I\nIebm5gsWLFiwYMGzZ8+Ki4s1NTW/+eab27dvX7hwwdbWVjGnin72rF+/3tnZ+eTJk+ygkBBy\n9+5dHx+fBQsWFBYWBgYGbtiwwcbGpqCg4O3bt0+fPt24ceP+/fsPHDhQ6dJvsVgMURE1ZswY\n5auVG4K1tfXZs2dDQ0OTkpJ++OGHioqKiRMnEkIEAoGlpWV5efmFCxdoQDZy5MgVK1akpaXl\n5ubCFugBMH/+fCjgp6mpGRYWxufz09LSjh8/Tgj58ccfGYbZtm1b9+7dDx06BOVwp06d2rt3\n7y+//JLdEfi77777+eefDx069OLFi5KSEloSuRaWL1+emppaWFgYFBTk4uIikUiKioquX7/+\n7NkzaNFBH/no0SN6e8mSJcePHx8yZIipqSmHw1m1alVcXNzNmzf/+usvDQ0NhmEIITDVzuVy\nJ0+evHTpUtp+oNr/O7n/66rIva2lp6dPmzZtxowZ5eXlcK+1tbW7u7uVldWkSZNiY2MvXrzo\n6up6//599itfX1//xYsXNjY2e/bsyc3NvXfvHiHk7du3Mpls9erVjx49SkpK0tfX379/v52d\n3YYNG9zc3GQy2du3b7t163b06NHXr19bWFisW7fO3t5+/vz5DMN8/fXXq1atGj16tErPfmVW\nrVr1zTffzJkzB36cOXPmvXv3ZsyYwTDMli1b4uLiIPpsOPCS6Nevn7W1ta2tLfslweFwaBLC\nt99+6+/vDystlBgyZEhKSgqslELNSNPGlS3Oo0cMIU8zM5VUCq2pGtWWRGzsfpRy6mXCBfxj\n7IEQxtWVzl9UOqT6kOXu3bvBwcF9+vRxcXHx8/MLDg4OCAjw8PBo1aqVkZGRtbW16m1AAR0q\nqN27hFzBbbZVq1ZxOJyPNCvg0aNHwcHBhFVuw9PT89ChQ9BSjBBiamo6Z84cuQ6eSnoAsMf/\noBYGzcmDPsh0VMzPz49WqaXNymjLznq5tDFjxrBfJzo6OsOHD8/KylIyta3YqoEugqF5bL6+\nvuwcgPol97YGdX1lMhnUjhkwYAD0y6qWqalpx44dlRRCj4mJIYT06NGDDuMRQr799ltYDiyV\nSp2cnAIDA2l4zePxaN+tWlDsBsEeymWncjYcxQF7GGKwtLTU09ObMmXKvHnzyIcMgarArhRX\nZ5d27sxwODk5ORWammUWFo1wOdXAETvUOIyMjIxULn1ZLSXfwOS+lCM5xsbGV69erfSuP/74\nQ0mv7hpRHFKVSqXwVbjSIdUazdPBalMoMscwTHZ29sCBA8eOHQulGdhowS34MSIioobXQQgh\nenp60BtDEczTQdKYIi8vr8WLF9f0cH/99dedO3eKioq0tLTs7e2rOnTdwQw1dHcQiUSLFi1a\nuHAhISQ0NNTU1FQoFPr4+Bw7dmzNmjUcDqdz5859+vTx9PT09PSsakrd0tLywIEDjx49Sk1N\nPX/+PCFES0sLFt5evXrV3NycPSoWExMjlUpfvnx58+bNFy9eGBoa/utf/6qvSzM3N9+1axd7\ny99//33gwIEDBw7QLYxCoG9paQkdBa5fvz5u3DgLCwtoC/H+/fs///zzjz/+iI+Pr6iomDZt\nGnuoz8LCor5OW+5tjcvlxsbGxsTEwMBScHDw1KlTx48fDy94QkhgYKDcuBG84HNycj7//PMb\nN24ojnlDRUCZTPbo0aP9+/cLBILIyMiysjJCyOPHj7lcrqampkwmu3TpEjwekiDfvn1b05l0\ntvv370+fPh1uQ4/XUaNGwY8wlFvrPavO3Nw8Pj4+Pj6+oKCgqKhIU1MTgtqdO3dOmjRp69at\n8DDlJxMbG0sIoX+S3377LdzIJsSJEFtb29eE/FVUpNLwLKp3TRpWtjwfesXW914r/wZW67an\nLQQ7l4iq91GTf4w9EMK4usLKwaqGVGE5s6mpKSyaVvFPmKZgBwYGnjt3rl7OXFF4eLhie1AQ\nFBQkkUjqKy+70VYrAw8Pj82bNz99+lTxLnYfFCUdPAHtuEpXlUKK3nfffQep8ew+yEpa39bv\nxaq4hFYOrEVowk8Txbc1LS2tyMhIBwcHduUUKysrDodT9xeeikOAqjeZqJRcKqdUKqWvLhjK\nrcvO6w4KEKanp5MPBQirAo9XfGnlGhrKOJyIiIgSgeBZQ7YaV1WLHLHDzhON6/FjYmEBnSca\nYvdy38CKioqKiooUy9siwO4J0bFjR6lUWlRUdPPmzcLCQjMzM3ZOVR2P0qNHj8LCQmtr6/t5\nebd1dSMdHC5cuFBWVqavr//DDz8oVhiOiYnp2rXr/PnzCSEjRoxQ3CfDMJcvX3737l2vXr32\n7duXnp4+btw4GBd0cXHZuXNnpQ0bQF2GVZ4+fTpw4EALC4vRo0fb2dlpamoWFxfD+E1JSQmU\n0U9MTISxEzgQwzD79++fMGFCWFhYUlKSKke5cOGCp6dnRUWFm5ubvb29VCqFBuTZ2dlaWlq/\n//471LxofG/fvj137lxGRsaFCxcyMjKKiooYhcYJWlpaI0aM8PDw+Omnn3766SeRSBQTE0Nz\nqlq1amVgYJCWlkbL5J4/f97T01Mmk0Hd1+ZwsbRfxenTpzdu3AjtbXJyci5fvty6dWtnZ2da\nqEXOvn37GuJ8CgoKMjIyxowZ4+TklJmZGRcXN2vWLAsLC2dn5/v371+5csXGxqawsPDYsWNQ\neBnU4oWXn58PQ4B+fn6urq7sxrjkwxCgmZlZQUHB4MGDa3ct0A1i9+7d+fn59vb2vr6+sAiX\nEDJp0qSzZ8/eunWrdnuuX/7+/kuWLIEmvzWDnSeagyYNK1uehhmxq8rOnTvrsoCrJVCSS1SP\nR6FjD+zOE3X5q4TRhTlz5sCPjfYnX6MD1Xrpd+OsVlYRre6mSgdPuY6rcjl5jEIf5GvXrvn5\n+dGLZTeMqePFQodQels5ud9tnqUxldT1vXz5slwFn7rUHAgMDCQfigsqokvLawe6QfTs2ZOm\n9MF29lDuxw1XxTYDOGLXuBpmxO6vv/7at2/f/fv3YckYKC0t/emnn16/fk0bUKKqMAwDSzjp\nYGdD4XBKHR3H2Nrq6OjUpUetg4ND+/btf/jhB0LIkydPzM3N27Zt6+zsTAj5/fffX7x4QRuM\nKqrLsIpie2I5JSUl165de/z4MeQqkao7TiphYGAwa9asJUuWKN61fPnyTZs2FRQU1OLka8HR\n0fH69esMw6jewZN2XD19+vTt27flcvLo+lY6KqalpTVnzhy4WLkurnW5WKhyDEtEq11fLPcp\n0LFjR7luwlRgYGBeXt7169drcUr1q7S0ND8/39TUFP4vHj9+vHjx4sOHD1fb6lSJO3fuQA/Z\nAQMGLF68uFOnTk+ePCkpKdHQ0LCwsJBKpSUlJbGxsTdu3CgqKqr1aU+dOnX//v3VDuV+rHDE\nrhnAxRMfvfv377u6ulaaDSMQCGpR8b+luX79uqmpKX33v3Hjxvv376E4fkMQi8UHDx6s407k\nUrAJIfHx8VAUd9OmTTExMZVGbzA1X5fjqp7cLZcVUCOvX7+Gus2K2rRpAxVbGseLFy/GjRvn\n6+vbr18/FWuOGBsb0+TIJ0+eQISXkpIC1XNoCLVhw4akpKTAwMATJ07Qi/X19Q0LC/v+++8d\nHR0//fTTulxsWFgYfQ3XtLlqbm5uZGRkpXfVbhFMQ5CrklPVgoAaOXjwIK028sUXX1T1sKFD\nh9bihIFYLE5MTKxqJQe7JRpCtYaB3UcvJiamtLQ0Li7OwcHBy8srMTHR0tIyLS1tx44dCQkJ\n7KQTJIedS0QbsJ4+fZo9atKkJ1glDodDh2FSU1OlUinNhuFwOBUVFZX+1pEjR+bNm/f48eNG\nOMO6DHw2zmplVbCXfNaCjo6OiYmJhYWFra1tYWEhO6qm1Q3Nzc3pxdrb2+/bt+/Nmzfx8fGf\nfvppXS6WHdnXdIz2oy6NWZcX3vz588ePH7979+7PPvuMw+FYWVkZGhoKhcKysrKnT58+evRI\nJBJ9/fXXU6ZMqdFuCwoKRCIRrAKpavyVBvGYEo3qQZNOBLc8DZBjZ2VlBVWF3r9/TwjJzs6G\n7Tdv3jQyMjp79mw9HkvNNEEuESGMq2vdd9O5c2copv/kyRNojkTvioqKateuXVxc3Jw5c2az\nyHXVbM4aZ7VyA1ExJ49WN1S8WKhu2IQX28JLYwYHBwuFwt27d8ttr3XWIyHEz8+P3lbzT2TM\nsWsGcMTuo1dQUNCmTRtCCCxVg/COENKhQ4eoqKjFixefPn26Kc+vGVPsCUEURk2a6tyUGzVq\n1MKFC3Nzc3Nzc9+8eUOnZXfs2PH9998LBIKZM2cq/tbHMjXPrvGmuFq5OV+CXE7e7Nmzq8rJ\no6Niihd7+fLlsrKyIUOGNNXFtvDSmJmZmQsXLoTycnKVFGvXkKYu0+II1UZTR5YtTAOM2JmZ\nmX3++edwWyKRHDhwgN61e/fuj2KEpqk0QZvdehqxKykpqaqYvq6urqamJu2qmZiYSLtqyo3B\nNGeNs1q53rE7rip/JHtUTPFiRSJR015sSy6NCQ1pKq2k2KlTJz6f39Qn2LzhiF0zgIFd42qA\nwG7QoEGtWrVKS0tjGKZ79+7s0p1RUVHGxsb1eCw1Y2RkVF8FdVVVT4FdVTIzMy0tLdVmap52\nr6qv/nvNR25urmKFDlgRaWJiUtMKHQ0nPz9fLZ9/JVq1ajVixAihUMjj8Xr16jVx4sQZM2ZM\nnDjR1dUVwrtbt2419Tk2YxjYNQM4FfvRmzdvnre398KFCzMzMydMmDBr1qx27drR0p116Vet\n9vr37//dd98NHDhQsa7pd9999zFOmvTq1auwsFA9puYbebVyI7Oxsbl06VJMTMwPP/yQl5cH\nG2FUrEYVOhpaC8zl79+//44dO6RSaVZWVufOnWEjwzCHDx8eM2YMwzCff/45tKxVUY8ePVR8\n5Pv372kHM4Rqr4kDy5amYQoUKynd+ezZs/o9ljqpdNSk1nVNVdLAI3aMWkzNl5WVjR8/nhBy\n+vRpujEuLo4QMmHChLKysqY7tXpWUVEhFAo/++yzljYq1pzl5ubClyJTU1MfHx94W4A3CjMz\ns+jo6JqO5fNY+Hw+e609u8Sgnp5eXUofNxc4YtcMYGDXuBql80RJScm9e/eKi4sb9CjqobFz\niRo+sFODqfnm2fmggfj4+Pj4+FRUVDT1iaD/4fP57u7ulaZ47t69WyAQ1HrPL1686N279/Tp\n069cuVJSUsIwzOvXrzMzM0eOHOnj4/Pq1av6u4gmgoFdM4CdJxpXA/eKRbVWl7qmNcDhEFdX\nckGVvmK1dP78eW9v7+7du1faVXP06NG7du1quKPXi4+i80F9ef78eXR0dH5+/vjx421tbXV1\ndeUe0K5duyY5sZbM3Nx8+PDha9euVWxI8+9//zshIaHWxSAjIiLevHlz4MABxbsCAwPNzMyq\n7TrT3GHniWYAc+wQIn/99deTJ0/atGmj+LH60enRo0d6evp//vMfQsj06dMfPHiwadOmI0eO\nwNT8+vXrm/oEq/dRdD6oL4aGhnDjl19+qfQB+N278fXv33/z5s29e/cePHgw3cgwzOHDh9et\nW1eX7Ntjx45Bu1hF/v7+al9KBjUODOxQi3bmzJno6OiLFy8SQlJSUqDF6qBBg2bOnPnxNu1w\ndnaGvrFcLnfVqlXLli1jd9Vs/j7qzgc1NXz4cKFQKBQKq+3oihoHwzAdO3bkcDhDhgzh8/ki\nkYjL5cpksnfv3pWXl/P5/LoUF3z9+vXTp08rvevx48fY1xvVCwzsUMv1+++/9+/fXyQS+fn5\n0fGSZ8+eXbhw4cSJE2fOnJErZPWRkuuq2fyp32plJfbv39/Up4D+Yf369XPnziWEcLncioqK\nt2/fwnYOhyMUCsVisaWlZa133rFjxzVr1nh7e9MegCAzM3Pr1q3t27evy5kjBDCwQy3XihUr\nTE1NMzMz+Xw+LTBhZGR09epVFxeX2NjYw4cPN+0Ztkwts/PBgwcPHjx4UFpaKpVKW7du3QLr\njDQTW7dubdeuXXJysqOjI8Mwiml2dfHFF18MGjSoV69erVu3btu2rUQiKSkpuXv3bm5uLofD\nWbRoUd0PgRCuim1cjbIqFqnIwMBg5cqVDMPk5+cTQlJSUuhdX375pZmZWf0fsuFXxaqHFtX5\nYNu2bTY2NnLvzJ06ddq/f39Tn1pLJBaLv/rqq4bbf3p6ur+/PxSlAkKh0MvL68SJEw130MaD\nq2KbARyxQy3X33//bWFhUeldZmZmz58/b+TzQZS5uXl8fHx8fHwjrVZuOlu2bJk2bZqmpqaf\nn5+1tbVIJHr79m1OTs758+fDwsJKS0vHjRvX1OfYspiYmMhkssTExOTk5MePH9MS32x1WZft\n4eGRkpIik8ny8/OLi4slEompqSmfj5/FqN7giwm1XKamprdu3ar0royMjOZT/b8lU9d4jlq/\nfr2zs/PJkyfZw5OEkLt37/r4+Hz11VcY2DWyyMjIzZs3P3r0iBAiFAobaMkRl8s1NzdviD0j\nhIEdarmCgoI2bdoUGhrKfod98eJFXFxcQkLC1KlTm/DcUAuRm5u7f/9+uaiOENK2bduZM2fG\nxMQ0yVm1NHfu3KG3R40atWrVKrFYvHLlSl9fX5FIJPdgrCyImjkM7FDLtWTJkuPHj7u5ucFi\ntAULFkBzp3fv3llZWalZvTTUPOnp6VVVPdHQ0NDAwKCRz6dlsq2sYvynn35a6YMZrCyImjcM\n7FDLZWpqmp2dvXjx4h9++IEQcuXKFUKIoaFheHj40qVLjY2Nm/oEkfoLCgo6ePCgt7e34l3J\nycnDhw9v/FNqgSIiItg/7t+/v0OHDo6Ojk11PgjVBQZ2qEUzNjbeunXrli1boKiBlpYWdPtG\nqHGsXLly4MCBw4YNGz16tJ2dnaamZnFx8R9//BEfH19SUjJt2jRI9gJVrfVBdSTXyMvGxubI\nkSNbtmwRCARNdUoI1RoGdqiFKisrO3r0qL29vYODA4fDwaUSqEnQLxIHDx5UvNfOzo79I04C\nNhy5NLucnBx3d/fQ0FAjIyMdHR0LCwsjIyP6AEyzQ80ZBnaoheLz+aNHj160aJGDg0NTnwtq\nuUJDQwUCAfYTa3KVptllZ2dX+mCMsFFzhoEdaqG4XK6Hh8eZM2dkMhmXy23q00Et1KFDh5r6\nFBAhrDS7P/74IysrSyAQmJiYaGpqcrnc8vJy6PEqk8n69OmDw3WomcPADrVcBw4ciI6ODggI\nGD9+vK2treLiRHwHR6iFoGl29vb2SioLPnv2LC0trQnODyGVYWCHWi5DQ0O48csvv1T6AJxw\nQailYVcWlGvgi5UF0UcBAzvUcg0fPlwoFAqFQsxwQggBqCy4ffv2L7/88v79++y7zM3NNTQ0\nmui8EFIVBnao5dq/f39TnwJCqHkJCgpaunTp2bNnFRv4ZmRkMAyzY8cO7POGmjMM7BBCCKH/\nWrlypbW1tZ6e3saNG7t3786uLNijR4+8vLzly5f7+PjAg7GyIGqGMLBDCCGE/gsqC5aWlo4d\nO7aqx1haWsINTMNFzRBtw3TIAAAXXElEQVQGdgghhNB/hYaGHj9+vFevXpU2FczNzb127VpI\nSEjjnxhCKsLADiGEEPqvQ4cORUREiMXizZs3K94bHBw8efLkdevWNf6JIaQiDOwQQgih/8EG\nvuijhoEdQggh9D/YwBd91DCwQwghhP4HG/iijxoGdgghhND/YANf9FHD3ucIIYQQQmoCAzuE\nEEIIITWBgR1CCCGEkJrAwA4hhBBCSE1gYIcQQgghpCYwsEMIIYQQUhMY2CGEEEIIqQkM7BBC\nCCGE1AQGdgghhBBCagIDO4QQQgghNYGBHUIIIYSQmsDADiGEEEJITWBghxBCCCGkJjCwQwgh\nhBBSExjYIYQQQgipCQzsEEIIIYTUBAZ2CCGEEEJqAgM7hBBCCCE1gYEdQgghhJCawMAOIYQQ\nQkhN8Jv6BFoYqZRMmkR0dJr6PFAT6d+fuLg09UkghFDD8PUlBgaEEOLvTwwNm/psCPH3J/fv\nk+fPSZs2hBCiq0smTSIaGk19Wg2LwzBMU58DQgghhBCqBzgVixBCCCGkJjCwQwghhBBSExjY\nIYQQQgipCQzsEEIIIYTUBAZ2CCGEEEJqAgM7hBBCCCE1gYEdQgghhJCawMAOIYQQQkhNYGCH\nEEIIIaQmMLBDCCGEEFITGNghhBBCCKkJDOwQQgghhNQEBnYIIYQQQmoCAzuEEEIIITWBgR1C\nCCGEkJrAwA4hhBBCSE1gYIcQQgghpCYwsEMIIYQQUhMY2CGEEEIIqQkM7BBCCCGE1AQGdggh\nhBBCagIDO4QQQgghNYGBHUIIIYSQmsDADiGEEEJITWBghxBCCCGkJjCwQwghhBBSExjYIYQQ\nQgipCQzsEEIIIYTUBAZ2CCGEEEJqAgM7hBBCCCE1gYEdQgghhJCawMAOIYQQQkhNYGCHEEII\nIaQmMLBDCCGEEFITGNghhBBCCKkJDOwQQgghhNQEBnYIIYQQQmoCAzuEEEIIITWBgR1CCCGE\nkJrAwA4hhBBCSE1gYIcQQgghpCYwsEMIIYQQUhMY2CGEEEIIqQkM7BBCCCGE1AQGdgghhBBC\nagIDO4QQQgghNYGBHUIIIYSQmsDADiGEEEJITWBghxBCCCGkJjCwQwghhBBSExjYIYQQQgip\nCQzsEEIIIYTUBAZ2CCGEEEJqAgM7hBBCCCE1gYEdQgghhJCawMAOIYQQQkhNYGCHEEIIIaQm\nMLBDCCGEEFITGNghhBBCCKkJDOwQQgghhNQEBnYIIYQQQmoCAzuEEEIIITWBgR1CCCGEkJrA\nwA4hhBBCSE1gYIcQQgghpCYwsEMIIYQQUhMY2CGEEEIIqQkM7BBCCCGE1AQGdgghhBBCagID\nO4QQQgghNYGBHUIIIYSQmsDADiGEEEJITWBghxBCCCGkJjCwQwghhBBSExjYIYQQQgipCQzs\nEEIfMT6f36NHD7g9YsQIDodTUFDQtKdUd2pzIQihxoeBHUJITXTt2tXPz08kEqny4NjY2Dt3\n7jT0KdXuuDW6EIQQYuMwDNPU54AQQrXE5/OdnZ3Pnz9fo9/Kz89v1apVSkqKv79/A51Yszou\nQqjlwBE7hFCLk52d3QyPK5PJysrKGu1kEEJqCQM7hNBH4/jx405OThKJxNjYODIy8tWrVxwO\nh97LTk179+7dqlWrunTpoqOjo6Wl5ejouGrVKplMRggJCgoaOHAgIWTAgAEcDicjI6PSY40Z\nM4bD4bx+/XratGlGRkYaGhq9evW6fPlySUnJJ598YmZmpqmp6e7ufunSJfZvnT9/fvDgwRYW\nFmKx2MbGZuzYsffv34e7Kj1uWFgYl8t9/vx53759JRLJ0aNH2ReSmprK5XJHjRrFPkRAQACP\nx6vqtBFCLRy/qU8AIYRUkpGRERISoqOjExMTY2xsfPLkyZCQEHZgxzZ16tTExMRRo0ZNnTqV\nEJKamjp37ty8vLxNmzbFxMTo6+vv3Llz8eLF3bp169ixY6V7gBS30aNHOzo6Hjp06MqVK3Pm\nzBkyZIizs7OJicm+ffvu3bv3ySefBAQEPHz4UCgUEkIuXrzo7e2tr68/adIkMzOzO3fubNmy\n5eTJkzdv3jQwMKj0uEKhkGGY6OhohmEWLVpkb2/PPod+/fpNnjx569at4eHh/fr1I4QkJyen\npKR8+umnHh4e9frsIoTUBYMQQh8DyEvLysqiW6ZMmUIIcXNzgx/DwsIIIfn5+QzDaGho9OzZ\nk/3rEJaVl5czDLNy5UpCSEpKipLDRUREEEImT55MtwwaNIgQMnDgQLplxowZhJCMjAz48dtv\nv+3Zs2daWhp9QFxcHCEkLi4OflQ8bnh4OCHEz8+voqKCbmRfyJs3b2xsbGxtbUtLS4uKiiwt\nLe3s7IqLi1V7zhBCLQ6O2CGEPgIymezMmTOtW7fu2bMn3ThlypStW7dW+nihUHj//v3CwkIT\nExPYsnr16locd+jQofR2u3btKt1C65JMmjRp0qRJ9IRlMpmDgwMhhM7GKoIRx/Hjx3O5lSfG\naGpqJiQk9O3bd+XKlW/fvn38+HFGRoZEIqnFtSCEWgLMsUMIfQTy8/NLSkratm3L3ig3ccm2\naNGi/Px8e3v7MWPGJCYmPnnypHbHNTc3p7elUmmlW96/fw8/ymSyb775xsXFRSqV8ng8gUDg\n5eVFCCkvL1d+FFtbWyX3ent7T506NTY2dsOGDXPmzGGHtgghJAcDO4TQR6C4uJgQIjdSJRaL\nq8qxi46OPnnypLe395EjR8LDwy0sLAYMGFCLwnUCgaDaLdSCBQumT58uFosTEhIyMzOzs7MT\nExNVOYqurq7yB0RERLx79+79+/fjxo1TZYcIoRYLp2IRQh8BCOlKSkrYG9+8ecNUXYnT19fX\n19e3rKwsKytr9+7dCQkJAQEB169fh4UO9a60tHTjxo0WFhapqam0tvDff/9d9z3LZLIZM2aY\nmJiUl5dPmzbtzJkzVYWzCCGEI3YIoY+AqampUCi8e/cue+P169er/UWhUOjl5bV9+/apU6fm\n5ORcvXq1gc4wPz+/tLTU2dmZ3THizJkzdd/z2rVrz507t2HDhtWrV6enp2/cuLHu+0QIqSsM\n7BBCHwE+n9+rV6/c3NzMzEy6EdacKsrKyjI3N9+xY0el+yGE8Hg88s/xv9LS0itXrsgFjjVi\namrK4XDy8vLolj/++APOobS0FLYoHrdat2/fXrx4cUBAQFhY2IQJE7y9vRcuXJiTk1Pr80QI\nqTecikUIfRzmzp175syZwMDAKVOmmJubnzhxorS0VE9PT/GRzs7Oenp6UVFRGRkZXbt2ZRjm\n0qVLSUlJ7u7uXbt2JYS0adOGEBIbG3vv3r3evXu7urreuXOnW7duffv2TU1Nrd3pSSSSoKCg\nY8eOTZkypU+fPjdu3Ni2bduePXsCAgJ+/vnn3bt3Dxw4UPG4yvcpk8kmTJjA5XK/+eYb2LJ1\n61ZHR8eJEyeePXu2qoW0CKGWDN8XEEIfhwEDBuzdu9fKymrdunXLli0zNTVNTk7W1NSki1Ip\noVB4+vTpadOmpaWlzZ07d+HChRcvXly2bNmJEycgOy0kJGTIkCHXr19fv379o0eP6usM4+Pj\nR40adejQoUmTJmVkZCQnJ/fr12/x4sWvXr367LPPioqKanrcdevWnTt3btmyZdbW1rDFzs5u\n0aJFmZmZ69evr6/TRgipE46S1GOEEEIIIfQRwRE7hBBCCCE1gYEdQgghhJCawMAOIYQQQkhN\nYGCHEEIIIaQmMLBDCCGEEFITGNghhBBCCKkJDOwQQgghhNQEBnYIIYQQQmoCAzuEUG1ERkZy\nOJw7d+7U7tdHjBjB4XDqseuDiubOnSsSiS5dutTIx204fD6/R48eDbHnf//73yKR6Pfff2+I\nnSOEGggGdgihj15sbKwqIeaxY8dWr1799ddfOzk50Y2+vr7/+te/anS4e/fucTiciIgIQsiC\nBQs4HM65c+dqes6NY9euXRwWkUhkamrq6+u7du3av//+mz6s0itaunSpq6vr8OHDX7x40XRX\ngBCqGX5TnwBCCNVJfn7+ggULunbt2q5dOyUPKy4ujoqKcnFxmT17NiGkoqKCx+MRQqRSqVQq\nJYQwDAOdZKulpaUFv0gI0dTUpFuaLXd3dw8PD0JIWVlZfn5+enp6ampqbGzs7t27fX19SRVX\nxOPxEhISOnToMG/evO3btzfpFSCEVIUjdgihj1t2drYqD9u8eXNhYeG///1v+qOLi0t8fDyH\nw3n79u3XX39ta2t7/vx5VXYFoY/ivw1EJpOVlZXVZQ/9+vWLjY2NjY1du3bt3r178/Lytm/f\nXlRUFBISAs9eVVdka2sbFhaWlJR0//79ul8IQqgRYGCHEKo9Lpe7cuXK1q1bSyQSe3v79evX\nMwxD733w4MG4ceNMTEwkEkmnTp3WrFnz/v17xZ0EBQVxOJxXr17RLeXl5RwOp1+/fvDju3fv\nVq1a1aVLFx0dHS0tLUdHx1WrVslkMvjdgQMHEkIGDBjA4XAyMjIqPU+GYdauXWtnZxcUFARb\nevbs6enpuXHjxiNHjsTFxR07dmzs2LEmJiaqXLVEIuHz+ewASEtLy9zc3NHRkf2wTp06cTic\n48eP0y179+7lcDi7du0ihJw/f37w4MEWFhZisdjGxmbs2LHs4CksLIzL5T5//rxv374SieTo\n0aOw/fjx405OThKJxNjYODIy8tWrVyqOMrLxeLzIyMikpKTS0tJZs2ZVdUXw4Dlz5rx//37D\nhg01PQpCqEngVCxCqPY+//zzGzduTJkyhRCybdu2Tz/9VEdHZ+LEiYSQ/Pz8Hj16vHr1KiIi\nwsbGJi0tLTo6+tq1a99//31NjzJ16tTExMRRo0ZNnTqVEJKamjp37ty8vLxNmzbFxMTo6+vv\n3Llz8eLF3bp169ixY6V7uHz5ckFBwdChQ+kWFxcXFxeXAwcOTJ8+vaysLD4+3s7OTvVT2rx5\ns6urKyGkd+/ecXFxOjo6vr6+O3bsePnypZ6eHiHk6dOnN2/e1NLSOnPmTEBAAPxWWloah8Px\n9fW9ePGit7e3vr7+pEmTzMzM7ty5s2XLlpMnT968edPAwIAQIhQKGYaJjo5mGGbRokX29vaE\nkIyMjJCQEB0dnZiYGGNj45MnT4aEhNQisAPDhg1zcnI6f/787du37ezsFK8IHtatWzcTE5Pj\nx4+vW7eudgdCCDUqBiGEag4S7T08PMrKymDLlStXCCGBgYHwY2RkJCHkl19+ob8SGBhICLl2\n7RrDMGFhYYSQhw8f0u0vX76kj4SBvb59+8KPGhoaPXv2ZB99zpw5Q4YMKS8vZxhm5cqVhJCU\nlBQlZxsbG0sIOXToEHvjnTt3tLW1d+7cOWnSpG7dur179662TwbDMAyMwx09ehR+3LdvH5/P\nj4qK6tGjB32MnZ1d165dGYb59ttve/bsmZaWRu+Ki4sjhMTFxcGP4eHhhBA/P7+Kigr6GH9/\nf0JIVlYW3QIhtZubW1VntXPnTkLIkiVLKr13/vz5hJCkpCTllzZy5EhCSF5envKHIYSaA5yK\nRQjV3pw5cwQCAdzu0qWLUCh8/Pgx/JicnGxlZdW/f3/64I0bN/7222+mpqY1PYpQKLx//35h\nYSHdsnr16oMHD8LqB1XAmllbW1v2xuTk5K5du44ZM2b58uUFBQVZWVk1PTG2fv36cTics2fP\nwo+nT5/u1q2bt7f3xYsX3759SwgpKCi4ffu2n58fIWTSpElZWVl9+vQhhMhksvLycgcHB0II\nnY2Fcbjx48dzuf99l5bJZGfOnGndunXPnj3pQSGwqzULCwtCyLNnz5Q/DJ63u3fv1uVYCKHG\ngYEdQqj25EIliUQCg20FBQUvX76Um9xs06aNt7e3oaFhTY+yaNGi/Px8e3v7MWPGJCYmPnny\npKZ7+OuvvwghcoeeO3fuqVOnCCFGRkb37t3z8vKq6W7ZTExMHBwc0tPT4cfTp097enp6eHiU\nl5dDMZTTp08TQiDSlclk33zzjYuLi1Qq5fF4AoEAjl5eXs7eJ/vpzc/PLykpadu2LfsBMEVb\nayUlJYQQsVis/GHwvFUb/yGEmgMM7BBCtScSiSrdXlRURAiRSCT1cpTo6OiTJ096e3sfOXIk\nPDzcwsJiwIABNaqNDCszaN4YJRQK4Ua1wY0qfH19L1269Pbt2ydPnty+fbt3796WlpZWVlZn\nzpwhhKSlpUmlUig7smDBgunTp4vF4oSEhMzMzOzs7MTERMUd6urq0tvFxcVE4SkVi8W1zrEj\nhNy7d48QYm5urvxhcBrs1S0IoWYLF08ghOofrKyE8K4WFKt7+Pr6+vr6lpWVZWVl7d69OyEh\nISAg4Pr16zQyUw5Cur///ru+Ys1K+fr6rlmz5ty5c4WFhRwOp3fv3oQQDw8PmJ9NS0vr06eP\nUCgsLS3duHGjhYVFamoqjYzZ5YIrBWcOY2zUmzdvGNYy5BqRyWRHjx4VCAQQaypRVViMEGqG\ncMQOIVT/TE1N9fT0bty4wQ47/vzzz02bNt24cUPuwZClxw7mqqqaJhQKvby8tm/fPnXq1Jyc\nnKtXr6p4PkZGRuTDhGzD8fT0FIlEGRkZp0+f7ty5s76+PiGkd+/eFy5cuH//Pk2wy8/PLy0t\ndXZ2Zo93wqieEqampkKhUC7R7fr167U+23Xr1j1+/DgoKKjayXF43uA5RAg1cxjYIYQaRGho\n6NOnT/fv30+3LF26dObMmYql7MzMzAghf/75J92SkJBAb2dlZZmbm+/YsUPxEHw+nxACSyjk\nhrLkQGpaTk6OKmdeVlZ25cqVWrTBlUgk7u7uFy5cSEtL8/T0hI0eHh7v3r2DOnCQYGdqasrh\ncPLy8ugv/vHHH3CBpaWlVe2cz+f36tUrNzc3MzOTboS1tFRpaemVK1eqXeVQUVGxcePG+fPn\n6+joqFKgDp43ufQ+hFDzhFOxCKEG8cUXX/z8888TJkzIyMiwsbE5c+bMTz/9NG7cuK5du8o9\nctCgQVu2bPnkk09WrFihoaFx9OjRK1eu6OjowGifs7Oznp5eVFRURkYG1Aq5dOlSUlKSu7s7\n7KpNmzaEkNjY2Hv37vXu3RuKscnp27cvIeS3334LDQ2t9swfPHjQrVs3d3f3qsodK+Hr67ti\nxYqioiJY8UoI6dSpk76+fnx8vJWVVfv27QkhEokkKCjo2LFjU6ZM6dOnz40bN7Zt27Znz56A\ngICff/559+7dUHJZ0dy5c8+cORMYGDhlyhRzc/MTJ06UlpZC2Txw586dbt269e3bNzU1lf2L\nqampEDLKZLL8/Py0tLRHjx6Zm5sfPHjQ0tJS+RUxDPPbb7+1a9fO2tq6ps8GQqgJNGmxFYTQ\nxwrq2OXk5LA36ujodOrUif6Ym5s7ZswYY2NjsVjcsWPHVatW0Vpx7Dp2DMMkJiZ26tRJIpGY\nmJhMnjz59evXrVq18vDwgHufPn36ySef2NraSqVSbW1tBweHFStWQHoZwzBlZWVDhgzR0NCw\nsLBITk6u9GwrKiqMjIxsbW1lMlm1lwYDVL17967hU8IwDHPx4kV4ay0oKKAbg4ODCSGRkZF0\ny9OnT0eNGmVkZKSpqdmnT5+zZ88yDLNs2TJNTU0zM7P8/PxKn16GYfbt2+fg4CAUCo2MjMLD\nw1++fGlpadm9e3e499q1a4RV/4/5UMeOzdDQ0NXVddWqVc+fP1flii5dukQImTlzZi2eDYRQ\n4+MwtU28RQihj8jKlSsXLlz4448/hoSEVPvgxMTEH3/88ciRI41wYs3cmDFj9u/ff+vWLZyK\nReijgDl2CKEWYdasWUZGRitWrFDlwcePH/f29m7oU2r+7t69u2/fvnHjxmFUh9DHAgM7hFCL\nIJVKv/vuu+zs7PXr1yt/ZElJiYODA3S8bckq/r89O6YBGASAKCoEGQz4QQQjM2FDEwmuSGqh\nGw19T8EfL7m9c84hhN776RbgLVcs8COllDHGWivGeLrl62qtrbU5Z0rpdAvwlmEHAHAJVywA\nwCUMOwCASzywxzqzern8IQAAAABJRU5ErkJggg==",
      "text/plain": [
       "Plot with title “Cluster Dendrogram”"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fit <- hclust(dist.matrix, method = \"ward.D\")\n",
    "\n",
    "plot(fit)\n",
    "rect.hclust(fit, k = 6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "also installing the dependencies ‘zip’, ‘SparseM’, ‘MatrixModels’, ‘sp’, ‘openxlsx’, ‘minqa’, ‘nloptr’, ‘RcppEigen’, ‘carData’, ‘abind’, ‘pbkrtest’, ‘quantreg’, ‘maptools’, ‘rio’, ‘lme4’, ‘car’, ‘ellipse’, ‘flashClust’, ‘leaps’, ‘scatterplot3d’\n",
      "\n",
      "Updating HTML index of packages in '.Library'\n",
      "Making 'packages.html' ... done\n"
     ]
    }
   ],
   "source": [
    "install.packages('FactoMineR')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Correspondence Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "library('FactoMineR')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "xy = data.frame(Sony,nikon,casio,fuji,canon,kodak,olympus,panasonic)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "rownames(xy)=c('Battery','Memory','Size','Control','Zoom','Lens','Focus','Flash','Disk','Video','Brightness','Viewfind')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>Sony</th><th scope=col>nikon</th><th scope=col>casio</th><th scope=col>fuji</th><th scope=col>canon</th><th scope=col>kodak</th><th scope=col>olympus</th><th scope=col>panasonic</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>Battery</th><td>31</td><td>12</td><td>2 </td><td>61</td><td>22</td><td> 2</td><td>71</td><td>24</td></tr>\n",
       "\t<tr><th scope=row>Memory</th><td>22</td><td>14</td><td>1 </td><td> 1</td><td> 3</td><td> 1</td><td> 5</td><td> 1</td></tr>\n",
       "\t<tr><th scope=row>Size</th><td>31</td><td>28</td><td>4 </td><td> 0</td><td> 4</td><td> 4</td><td> 1</td><td> 4</td></tr>\n",
       "\t<tr><th scope=row>Control</th><td> 4</td><td> 9</td><td>0 </td><td>11</td><td>26</td><td> 3</td><td>20</td><td> 0</td></tr>\n",
       "\t<tr><th scope=row>Zoom</th><td>58</td><td>61</td><td>3 </td><td> 7</td><td> 1</td><td> 2</td><td> 8</td><td> 3</td></tr>\n",
       "\t<tr><th scope=row>Lens</th><td>43</td><td>15</td><td>2 </td><td>31</td><td> 6</td><td>62</td><td> 4</td><td> 2</td></tr>\n",
       "\t<tr><th scope=row>Focus</th><td>32</td><td> 6</td><td>5 </td><td> 4</td><td> 2</td><td> 5</td><td>12</td><td> 5</td></tr>\n",
       "\t<tr><th scope=row>Flash</th><td> 6</td><td>72</td><td>0 </td><td>10</td><td> 8</td><td> 1</td><td> 0</td><td> 0</td></tr>\n",
       "\t<tr><th scope=row>Disk</th><td> 7</td><td> 5</td><td>1 </td><td> 3</td><td> 5</td><td> 0</td><td>41</td><td>37</td></tr>\n",
       "\t<tr><th scope=row>Video</th><td>82</td><td> 3</td><td>2 </td><td>12</td><td>10</td><td> 6</td><td> 1</td><td> 2</td></tr>\n",
       "\t<tr><th scope=row>Brightness</th><td> 8</td><td>16</td><td>0 </td><td> 7</td><td> 2</td><td> 3</td><td> 7</td><td>78</td></tr>\n",
       "\t<tr><th scope=row>Viewfind</th><td> 1</td><td> 2</td><td>1 </td><td> 3</td><td> 0</td><td> 1</td><td> 3</td><td> 3</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llllllll}\n",
       "  & Sony & nikon & casio & fuji & canon & kodak & olympus & panasonic\\\\\n",
       "\\hline\n",
       "\tBattery & 31 & 12 & 2  & 61 & 22 &  2 & 71 & 24\\\\\n",
       "\tMemory & 22 & 14 & 1  &  1 &  3 &  1 &  5 &  1\\\\\n",
       "\tSize & 31 & 28 & 4  &  0 &  4 &  4 &  1 &  4\\\\\n",
       "\tControl &  4 &  9 & 0  & 11 & 26 &  3 & 20 &  0\\\\\n",
       "\tZoom & 58 & 61 & 3  &  7 &  1 &  2 &  8 &  3\\\\\n",
       "\tLens & 43 & 15 & 2  & 31 &  6 & 62 &  4 &  2\\\\\n",
       "\tFocus & 32 &  6 & 5  &  4 &  2 &  5 & 12 &  5\\\\\n",
       "\tFlash &  6 & 72 & 0  & 10 &  8 &  1 &  0 &  0\\\\\n",
       "\tDisk &  7 &  5 & 1  &  3 &  5 &  0 & 41 & 37\\\\\n",
       "\tVideo & 82 &  3 & 2  & 12 & 10 &  6 &  1 &  2\\\\\n",
       "\tBrightness &  8 & 16 & 0  &  7 &  2 &  3 &  7 & 78\\\\\n",
       "\tViewfind &  1 &  2 & 1  &  3 &  0 &  1 &  3 &  3\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | Sony | nikon | casio | fuji | canon | kodak | olympus | panasonic |\n",
       "|---|---|---|---|---|---|---|---|---|\n",
       "| Battery | 31 | 12 | 2  | 61 | 22 |  2 | 71 | 24 |\n",
       "| Memory | 22 | 14 | 1  |  1 |  3 |  1 |  5 |  1 |\n",
       "| Size | 31 | 28 | 4  |  0 |  4 |  4 |  1 |  4 |\n",
       "| Control |  4 |  9 | 0  | 11 | 26 |  3 | 20 |  0 |\n",
       "| Zoom | 58 | 61 | 3  |  7 |  1 |  2 |  8 |  3 |\n",
       "| Lens | 43 | 15 | 2  | 31 |  6 | 62 |  4 |  2 |\n",
       "| Focus | 32 |  6 | 5  |  4 |  2 |  5 | 12 |  5 |\n",
       "| Flash |  6 | 72 | 0  | 10 |  8 |  1 |  0 |  0 |\n",
       "| Disk |  7 |  5 | 1  |  3 |  5 |  0 | 41 | 37 |\n",
       "| Video | 82 |  3 | 2  | 12 | 10 |  6 |  1 |  2 |\n",
       "| Brightness |  8 | 16 | 0  |  7 |  2 |  3 |  7 | 78 |\n",
       "| Viewfind |  1 |  2 | 1  |  3 |  0 |  1 |  3 |  3 |\n",
       "\n"
      ],
      "text/plain": [
       "           Sony nikon casio fuji canon kodak olympus panasonic\n",
       "Battery    31   12    2     61   22     2    71      24       \n",
       "Memory     22   14    1      1    3     1     5       1       \n",
       "Size       31   28    4      0    4     4     1       4       \n",
       "Control     4    9    0     11   26     3    20       0       \n",
       "Zoom       58   61    3      7    1     2     8       3       \n",
       "Lens       43   15    2     31    6    62     4       2       \n",
       "Focus      32    6    5      4    2     5    12       5       \n",
       "Flash       6   72    0     10    8     1     0       0       \n",
       "Disk        7    5    1      3    5     0    41      37       \n",
       "Video      82    3    2     12   10     6     1       2       \n",
       "Brightness  8   16    0      7    2     3     7      78       \n",
       "Viewfind    1    2    1      3    0     1     3       3       "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ABMgmAHAABgEgQ7AAAAkyDYAQAAmATB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\nIgh2AAAAiiDYAQAAKIJgBwAAoIj/A2yGrTMsjRgVAAAAAElFTkSuQmCC",
      "text/plain": [
       "Plot with title “CA factor map”"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "res.ca = CA(xy)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "**Results of the Correspondence Analysis (CA)**\n",
       "The row variable has  12  categories; the column variable has 8 categories\n",
       "The chi square of independence between the two variables is equal to 1489.598 (p-value =  2.1605e-260 ).\n",
       "*The results are available in the following objects:\n",
       "\n",
       "   name              description                   \n",
       "1  \"$eig\"            \"eigenvalues\"                 \n",
       "2  \"$col\"            \"results for the columns\"     \n",
       "3  \"$col$coord\"      \"coord. for the columns\"      \n",
       "4  \"$col$cos2\"       \"cos2 for the columns\"        \n",
       "5  \"$col$contrib\"    \"contributions of the columns\"\n",
       "6  \"$row\"            \"results for the rows\"        \n",
       "7  \"$row$coord\"      \"coord. for the rows\"         \n",
       "8  \"$row$cos2\"       \"cos2 for the rows\"           \n",
       "9  \"$row$contrib\"    \"contributions of the rows\"   \n",
       "10 \"$call\"           \"summary called parameters\"   \n",
       "11 \"$call$marge.col\" \"weights of the columns\"      \n",
       "12 \"$call$marge.row\" \"weights of the rows\"         "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "res.ca"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Loading required package: ggplot2\n",
      "Registered S3 methods overwritten by 'ggplot2':\n",
      "  method         from \n",
      "  [.quosures     rlang\n",
      "  c.quosures     rlang\n",
      "  print.quosures rlang\n",
      "Welcome! Related Books: `Practical Guide To Cluster Analysis in R` at https://goo.gl/13EFCZ\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>eigenvalue</th><th scope=col>variance.percent</th><th scope=col>cumulative.variance.percent</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>Dim.1</th><td>0.42720408</td><td>35.8489386</td><td> 35.84894 </td></tr>\n",
       "\t<tr><th scope=row>Dim.2</th><td>0.28078439</td><td>23.5620933</td><td> 59.41103 </td></tr>\n",
       "\t<tr><th scope=row>Dim.3</th><td>0.22344475</td><td>18.7504224</td><td> 78.16145 </td></tr>\n",
       "\t<tr><th scope=row>Dim.4</th><td>0.16232682</td><td>13.6216964</td><td> 91.78315 </td></tr>\n",
       "\t<tr><th scope=row>Dim.5</th><td>0.05325038</td><td> 4.4685189</td><td> 96.25167 </td></tr>\n",
       "\t<tr><th scope=row>Dim.6</th><td>0.03415407</td><td> 2.8660473</td><td> 99.11772 </td></tr>\n",
       "\t<tr><th scope=row>Dim.7</th><td>0.01051398</td><td> 0.8822831</td><td>100.00000 </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lll}\n",
       "  & eigenvalue & variance.percent & cumulative.variance.percent\\\\\n",
       "\\hline\n",
       "\tDim.1 & 0.42720408 & 35.8489386 &  35.84894 \\\\\n",
       "\tDim.2 & 0.28078439 & 23.5620933 &  59.41103 \\\\\n",
       "\tDim.3 & 0.22344475 & 18.7504224 &  78.16145 \\\\\n",
       "\tDim.4 & 0.16232682 & 13.6216964 &  91.78315 \\\\\n",
       "\tDim.5 & 0.05325038 &  4.4685189 &  96.25167 \\\\\n",
       "\tDim.6 & 0.03415407 &  2.8660473 &  99.11772 \\\\\n",
       "\tDim.7 & 0.01051398 &  0.8822831 & 100.00000 \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | eigenvalue | variance.percent | cumulative.variance.percent |\n",
       "|---|---|---|---|\n",
       "| Dim.1 | 0.42720408 | 35.8489386 |  35.84894  |\n",
       "| Dim.2 | 0.28078439 | 23.5620933 |  59.41103  |\n",
       "| Dim.3 | 0.22344475 | 18.7504224 |  78.16145  |\n",
       "| Dim.4 | 0.16232682 | 13.6216964 |  91.78315  |\n",
       "| Dim.5 | 0.05325038 |  4.4685189 |  96.25167  |\n",
       "| Dim.6 | 0.03415407 |  2.8660473 |  99.11772  |\n",
       "| Dim.7 | 0.01051398 |  0.8822831 | 100.00000  |\n",
       "\n"
      ],
      "text/plain": [
       "      eigenvalue variance.percent cumulative.variance.percent\n",
       "Dim.1 0.42720408 35.8489386        35.84894                  \n",
       "Dim.2 0.28078439 23.5620933        59.41103                  \n",
       "Dim.3 0.22344475 18.7504224        78.16145                  \n",
       "Dim.4 0.16232682 13.6216964        91.78315                  \n",
       "Dim.5 0.05325038  4.4685189        96.25167                  \n",
       "Dim.6 0.03415407  2.8660473        99.11772                  \n",
       "Dim.7 0.01051398  0.8822831       100.00000                  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "library(\"factoextra\")\n",
    "eig.val <- get_eigenvalue(res.ca)\n",
    "eig.val"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "also installing the dependencies ‘viridis’, ‘ggsci’, ‘cowplot’, ‘ggsignif’, ‘gridExtra’, ‘polynom’, ‘dendextend’, ‘ggpubr’, ‘ggrepel’\n",
      "\n",
      "Updating HTML index of packages in '.Library'\n",
      "Making 'packages.html' ... done\n"
     ]
    }
   ],
   "source": [
    "install.packages('factoextra')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "library('factoextra')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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wYuLi6xsbGNGzcukbcOAABKAkfFloSCR8XKncVRcVTsU+Ko2KfHUbFPj6NinxJH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z23Tq9enNk8dHtzSXJ+8BQCuGYgcA8O1o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\nZwAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fviz_screeplot(res.ca, addlabels = TRUE, ylim = c(0, 50))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 144,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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L+kzgIAAOwVxa60CG3bWwhx7cBmqYMA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\nAEyIHQDAhNgBAEyIHQDAhNgBAEwEdID6xgM3C10AAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fviz_screeplot(res.ca) +\n",
    " geom_hline(yintercept=33.33, linetype=2, color=\"red\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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UrDGWOPxHIuhfd/lzs8kQJSXcnebgkJ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rrcAeP9a9TU3FBx+gaVM4OMDSEhYW2LYN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\nOwAAAEUQ7AAAABRBsAMAAFDE/wORw+h/XUZ7qAAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# repel= TRUE to avoid text overlapping (slow if many point)\n",
    "fviz_ca_biplot(res.ca, repel = TRUE)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 154,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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7yLegAAAKBGqEnn2AEAAKAMBDsAAABJ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\nAAAAWALBDgAAAIAl/h/pkoIWDCpzlwAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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XTAgAFxcXGxsbEDBw784osvKj9LPXTM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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Contributions of rows to dimension 1\n",
    "fviz_contrib(res.ca, choice = \"row\", axes = 1, top = 10)\n",
    "# Contributions of rows to dimension 2\n",
    "fviz_contrib(res.ca, choice = \"row\", axes = 2, top = 10)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "R",
   "language": "R",
   "name": "ir"
  },
  "language_info": {
   "codemirror_mode": "r",
   "file_extension": ".r",
   "mimetype": "text/x-r-source",
   "name": "R",
   "pygments_lexer": "r",
   "version": "3.4.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}