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| cap241:2018:rscript [2018/08/22 21:06]  – created karine | cap241:2018:rscript [2018/08/22 21:09] (atual)  –  karine | 
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src="data:image/png;base64,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 | 
| <!-- rnb-plot-end -->  |  | 
| <!-- rnb-source-begin eyJkYXRhIjoiYGBgclxuYWxpZ25tZW50JGxvY2FsQ29zdE1hdHJpeFxuYGBgIn0= -->  |  | 
| <pre class="r"><code>alignment$localCostMatrix</code></pre>  |  | 
| <!-- rnb-source-end -->  |  | 
| <!-- rnb-output-begin 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 -->  |  | 
| <pre><code>      [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10]  |  | 
|  [1,]    0    0    3    3    3    3    3    0    0     0  |  | 
|  [2,]    0    0    3    3    3    3    3    0    0     0  |  | 
|  [3,]    0    0    3    3    3    3    3    0    0     0  |  | 
|  [4,]    3    3    0    0    0    0    0    3    3     3  |  | 
|  [5,]    3    3    0    0    0    0    0    3    3     3  |  | 
|  [6,]    3    3    0    0    0    0    0    3    3     3  |  | 
|  [7,]    3    3    0    0    0    0    0    3    3     3  |  | 
|  [8,]    3    3    0    0    0    0    0    3    3     3  |  | 
|  [9,]    0    0    3    3    3    3    3    0    0     0  |  | 
| [10,]    0    0    3    3    3    3    3    0    0     0</code></pre>  |  | 
| <!-- rnb-output-end -->  |  | 
| <!-- rnb-source-begin eyJkYXRhIjoiYGBgclxuYWxpZ25tZW50JGRpc3RhbmNlXG5gYGAifQ== -->  |  | 
| <pre class="r"><code>alignment$distance</code></pre>  |  | 
| <!-- rnb-source-end -->  |  | 
| <!-- rnb-output-begin eyJkYXRhIjoiWzFdIDBcbiJ9 -->  |  | 
| <pre><code>[1] 0</code></pre>  |  | 
| <!-- rnb-output-end -->  |  | 
| <!-- rnb-source-begin eyJkYXRhIjoiYGBgclxuYWxpZ25tZW50JHN0ZXBzVGFrZW5cbmBgYCJ9 -->  |  | 
| <pre class="r"><code>alignment$stepsTaken</code></pre>  |  | 
| <!-- rnb-source-end -->  |  | 
| <!-- rnb-output-begin eyJkYXRhIjoiIFsxXSAzIDEgMSAxIDEgMSAxIDEgMiAxXG4ifQ== -->  |  | 
| <pre><code> [1] 3 1 1 1 1 1 1 1 2 1</code></pre>  |  | 
| <!-- rnb-output-end -->  |  | 
| <!-- rnb-source-begin eyJkYXRhIjoiYGBgclxucGxvdChhbGlnbm1lbnQkaW5kZXgxLGFsaWdubWVudCRpbmRleDIsbWFpbj1cIldhcnBpbmcgZnVuY3Rpb25cIik7XG5gYGAifQ== -->  |  | 
| <pre class="r"><code>plot(alignment$index1,alignment$index2,main="Warping function");</code></pre>  |  | 
| <!-- rnb-source-end -->  |  | 
| <!-- rnb-plot-begin eyJjb25kaXRpb25zIjpbXSwiaGVpZ2h0Ijo0MzIuNjMyOSwic2l6ZV9iZWhhdmlvciI6MCwid2lkdGgiOjcwMH0= -->  |  | 
| <p><img src="data:image/png;base64,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" /></p>  |  | 
| <!-- rnb-plot-end -->  |  | 
| <!-- rnb-source-begin eyJkYXRhIjoiYGBgclxucGxvdChkdHc6OmR0dyhYLCBZLCBrZWVwLmludGVybmFscyA9IFRSVUUsIHN0ZXAucGF0dGVybiA9cmFiaW5lckp1YW5nU3RlcFBhdHRlcm4oNixcImNcIikpLFxuICAgICB0eXBlPVwidHdvd2F5XCIsb2Zmc2V0PS0yKVxuYGBgIn0= -->  |  | 
| <pre class="r"><code>plot(dtw::dtw(X, Y, keep.internals = TRUE, step.pattern =rabinerJuangStepPattern(6,"c")),  |  | 
|      type="twoway",offset=-2)</code></pre>  |  | 
| <!-- rnb-source-end -->  |  | 
| <!-- rnb-plot-begin eyJjb25kaXRpb25zIjpbXSwiaGVpZ2h0Ijo0MzIuNjMyOSwic2l6ZV9iZWhhdmlvciI6MCwid2lkdGgiOjcwMH0= -->  |  | 
| <p><img src="data:image/png;base64,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" /></p>  |  | 
| <!-- rnb-plot-end -->  |  | 
| <!-- rnb-source-begin eyJkYXRhIjoiYGBgclxuZHR3UGxvdFR3b1dheShkdHcoWCwgWSwgc3RlcCA9IGFzeW1tZXRyaWNQMSwga2VlcCA9IFQpKVxuYGBgIn0= -->  |  | 
| <pre class="r"><code>dtwPlotTwoWay(dtw(X, Y, step = asymmetricP1, keep = T))</code></pre>  |  | 
| <!-- rnb-source-end -->  |  | 
| <!-- rnb-plot-begin eyJjb25kaXRpb25zIjpbXSwiaGVpZ2h0Ijo0MzIuNjMyOSwic2l6ZV9iZWhhdmlvciI6MCwid2lkdGgiOjcwMH0= -->  |  | 
| <p><img src="data:image/png;base64,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/></p>  |  | 
| <!-- rnb-plot-end -->  |  | 
| <!-- rnb-source-begin eyJkYXRhIjoiYGBgclxucmFiaW5lckp1YW5nU3RlcFBhdHRlcm4oNixcImNcIilcbmBgYCJ9 -->  |  | 
| <pre class="r"><code>rabinerJuangStepPattern(6,"c")</code></pre>  |  | 
| <!-- rnb-source-end -->  |  | 
| <!-- rnb-output-begin eyJkYXRhIjoiU3RlcCBwYXR0ZXJuIHJlY3Vyc2lvbjpcbmdbaSxqXSA9IG1pbihcbiAgICAgZ1tpLTMsai0yXSArICAgICBkW2ktMixqLTFdICsgICAgIGRbaS0xLGogIF0gKyAgICAgZFtpICAsaiAgXSAsXG4gICAgIGdbaS0xLGotMV0gKyAgICAgZFtpICAsaiAgXSAsXG4gICAgIGdbaS0yLGotM10gKyAgICAgZFtpLTEsai0yXSArICAgICBkW2kgICxqLTFdICsgMCAqIGRbaSAgLGogIF0gLFxuICApXG5cbiBOb3JtYWxpemF0aW9uIGhpbnQ6IE5cbiJ9 -->  |  | 
| <pre><code>Step pattern recursion:  |  | 
| g[i,j] = min(  |  | 
|      g[i-3,j-2] +     d[i-2,j-1] +     d[i-1,j  ] +     d[i  ,j  ] ,  |  | 
|      g[i-1,j-1] +     d[i  ,j  ] ,  |  | 
|      g[i-2,j-3] +     d[i-1,j-2] +     d[i  ,j-1] + 0 * d[i  ,j  ] ,  |  | 
|   )  |  | 
|   |  | 
|  Normalization hint: N</code></pre>  |  | 
| <!-- rnb-output-end -->  |  | 
| <!-- rnb-source-begin eyJkYXRhIjoiYGBgclxucGxvdChyYWJpbmVySnVhbmdTdGVwUGF0dGVybig2LFwiY1wiKSlcbmBgYCJ9 -->  |  | 
| <pre class="r"><code>plot(rabinerJuangStepPattern(6,"c"))</code></pre>  |  | 
| <!-- rnb-source-end -->  |  | 
| <!-- rnb-plot-begin eyJjb25kaXRpb25zIjpbXSwiaGVpZ2h0Ijo0MzIuNjMyOSwic2l6ZV9iZWhhdmlvciI6MCwid2lkdGgiOjcwMH0= -->  |  | 
| <p><img src="data:image/png;base64,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" /></p>  |  | 
| <!-- rnb-plot-end -->  |  | 
| <!-- rnb-source-begin eyJkYXRhIjoiYGBgclxuIyBQbG90XG56b286OnBsb3Quem9vKGNiaW5kKFgsIFkpLCBwbG90LnR5cGUgPSBcIm11bHRpcGxlXCIsIGNvbCA9IGMoXCJyZWRcIiwgXCJibHVlXCIpLCBsd2QgPSAyKVxuYGBgIn0= -->  |  | 
| <pre class="r"><code># Plot  |  | 
| zoo::plot.zoo(cbind(X, Y), plot.type = "multiple", col = c("red", "blue"), lwd = 2)</code></pre>  |  | 
| <!-- rnb-source-end -->  |  | 
| <!-- rnb-plot-begin eyJjb25kaXRpb25zIjpbXSwiaGVpZ2h0Ijo0MzIuNjMyOSwic2l6ZV9iZWhhdmlvciI6MCwid2lkdGgiOjcwMH0= -->  |  | 
| <p><img 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/></p>  |  | 
| <!-- rnb-plot-end -->  |  | 
| <!-- rnb-source-begin eyJkYXRhIjoiYGBgclxuI0NyZWF0ZXMgdGltZSBzZXJpZXNcbnRzMV94IDwtIGMoMSwyLDMsNCw1LDYsNyw4LDksMTApXG50czFfeSA8LSBjKDEsMSwxLDQsNCw0LDQsNCwxLDEpXG50czEgPC0gem9vOjp6b28odHMxX3ksIHRzMV94KTtcbiNDcmVhdGVzIHRpbWUgc2VyaWVzXG50czJfeCA8LSBjKDEsMiwzLDQsNSw2LDcsOCw5LDEwKVxudHMyX3kgPC0gYygxLDEsNCw0LDQsNCw0LDEsMSwxKVxudHMyIDwtIHpvbzo6em9vKHRzMV94LCB0czFfeSk7XG5gYGAifQ== -->  |  | 
| <pre class="r"><code>#Creates time series  |  | 
| ts1_x <- c(1,2,3,4,5,6,7,8,9,10)  |  | 
| ts1_y <- c(1,1,1,4,4,4,4,4,1,1)  |  | 
| ts1 <- zoo::zoo(ts1_y, ts1_x);  |  | 
| #Creates time series  |  | 
| ts2_x <- c(1,2,3,4,5,6,7,8,9,10)  |  | 
| ts2_y <- c(1,1,4,4,4,4,4,1,1,1)  |  | 
| ts2 <- zoo::zoo(ts1_x, ts1_y);</code></pre>  |  | 
| <!-- rnb-source-end -->  |  | 
| <!-- rnb-output-begin eyJkYXRhIjoic29tZSBtZXRob2RzIGZvciDjpLzjuLN6b2/jpLzjuLQgb2JqZWN0cyBkbyBub3Qgd29yayBpZiB0aGUgaW5kZXggZW50cmllcyBpbiDjpLzjuLFvcmRlci5ieeOkvOO4siBhcmUgbm90IHVuaXF1ZVxuIn0= -->  |  | 
| <pre><code>some methods for <U+393C><U+3E33>zoo<U+393C><U+3E34> objects do not work if the index entries in <U+393C><U+3E31>order.by<U+393C><U+3E32> are not unique</code></pre>  |  | 
| <!-- rnb-output-end -->  |  | 
| <!-- rnb-chunk-end -->  |  | 
| <!-- rnb-text-begin -->  |  | 
| <p>Plot time series</p>  |  | 
| <!-- rnb-text-end -->  |  | 
| <!-- rnb-chunk-begin -->  |  | 
| <!-- rnb-source-begin eyJkYXRhIjoiYGBgclxuem9vOjpwbG90LnpvbyhjYmluZCh0czJfeSwgdHMxX3kpLCBwbG90LnR5cGUgPSBcIm11bHRpcGxlXCIsIGNvbCA9IGMoXCJyZWRcIiwgXCJibHVlXCIpLCBsd2QgPSAyKVxuYGBgIn0= -->  |  | 
| <pre class="r"><code>zoo::plot.zoo(cbind(ts2_y, ts1_y), plot.type = "multiple", col = c("red", "blue"), lwd = 2)</code></pre>  |  | 
| <!-- rnb-source-end -->  |  | 
| <!-- rnb-plot-begin eyJjb25kaXRpb25zIjpbXSwiaGVpZ2h0Ijo0MzIuNjMyOSwic2l6ZV9iZWhhdmlvciI6MCwid2lkdGgiOjcwMH0= -->  |  | 
| <p><img src="data:image/png;base64,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/></p>  |  | 
| <!-- rnb-plot-end -->  |  | 
| <!-- rnb-source-begin eyJkYXRhIjoiYGBgclxuVFNkaXN0OjpFdWNsaWRlYW5EaXN0YW5jZSh0czFfeSwgdHMyX3kpXG5gYGAifQ== -->  |  | 
| <pre class="r"><code>TSdist::EuclideanDistance(ts1_y, ts2_y)</code></pre>  |  | 
| <!-- rnb-source-end -->  |  | 
| <!-- rnb-output-begin eyJkYXRhIjoiWzFdIDQuMjQyNjQxXG4ifQ== -->  |  | 
| <pre><code>[1] 4.242641</code></pre>  |  | 
| <!-- rnb-output-end -->  |  | 
| <!-- rnb-source-begin eyJkYXRhIjoiYGBgclxuVFNkaXN0OjpEVFdEaXN0YW5jZSh0czFfeSwgdHMyX3kpXG5gYGAifQ== -->  |  | 
| <pre class="r"><code>TSdist::DTWDistance(ts1_y, ts2_y)</code></pre>  |  | 
| <!-- rnb-source-end -->  |  | 
| <!-- rnb-output-begin eyJkYXRhIjoiWzFdIDBcbiJ9 -->  |  | 
| <pre><code>[1] 0</code></pre>  |  | 
| <!-- rnb-output-end -->  |  | 
| <!-- rnb-chunk-end -->  |  | 
| <!-- rnb-text-begin -->  |  | 
| <p>Read the time series from csv file and plot all</p>  |  | 
| <!-- rnb-text-end -->  |  | 
| <!-- rnb-chunk-begin -->  |  | 
| <!-- rnb-source-begin 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 -->  |  | 
| <pre class="r"><code>#read time series from file  |  | 
| timeseries.zoo <- read.zoo("timeseries.csv", header = TRUE, sep = ",")  |  | 
| #zoo::plot.zoo(z, main = "Set of time series")  |  | 
| #Define a color for each group (4 groups)  |  | 
| colors<-c("#FF0000FF","#FF0000FF","#FF0000FF","#FF0000FF",  |  | 
|           "#00FF9FFF","#00FF9FFF","#00FF9FFF","#00FF9FFF",  |  | 
|           "#009FFFFF","#009FFFFF","#009FFFFF","#009FFFFF",  |  | 
|           "#DFFF00FF","#DFFF00FF","#DFFF00FF","#DFFF00FF")</code></pre>  |  | 
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| <!-- rnb-text-begin -->  |  | 
| <!-- rnb-text-end -->  |  | 
| <!-- rnb-chunk-begin -->  |  | 
| <!-- rnb-source-begin eyJkYXRhIjoiYGBgclxuI1Bsb3QgYWxsIHRpbWUgc2VyaWVzXG56b286OnBsb3Quem9vKHRpbWVzZXJpZXMuem9vLCBwbG90LnR5cGUgPSBcIm11bHRpcGxlXCIsIGNvbCA9IGNvbG9ycywgbHdkID0gMiwgbWFpbj0gXCJTZXQgb2YgdGltZSBzZXJpZXNcIilcbmBgYCJ9 -->  |  | 
| <pre class="r"><code>#Plot all time series  |  | 
| zoo::plot.zoo(timeseries.zoo, plot.type = "multiple", col = colors, lwd = 2, main= "Set of time series")</code></pre>  |  | 
| <!-- rnb-source-end -->  |  | 
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| <p><img 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HQ12k9liZwWv4K+iPpPv0lx+DXfPoaIjfbGJlehE+SlMk527UPDZPgVdkPQfTq87zzebtigYdqbBLqNgB0hwwvJ7hTwjekCty7HEnleOXduiDXtTYfcRrDeMG5SYLI7Mr+xrfPqs/y8ZgdZ+s4j9JF3YugagXrEusNm9ueNP3t4xOkDomFODB68yybDrrvvMtPeBMltBOkWGd6H6yu1+pIMk91x+EW1SY9Dhbe70Z7ALu24y5vm9plUgU5Tfh8qvI+++qI5l5y03RMltMdNoChaz4OitkIfed/KcJX1x4YMyW2UCt6XH3ozw1VGDJ0EVytU8aK1I3OVhRSyskWIBZFiP4ii5Uu00V4eUviQbIN7ctR7PfZGe6TROnKkRAvhKosMParQI/KuIMYc9a3ghKCNjy/CVbbXG+1FSccSGQxAVpLxUS86xFWWahtDtJTRhbnKNEx7SbjdaQsfF+MqC21jSLi2Sa8Ezeu4yuK/2JJhu9sgOirCVRYM7b+84XYZoyRN67jKgrH9SsztTrPYkAhX2TAoeWgYi99ErQpG3qXuVnAjkbttGxmQP/IubdmNcEuPwG+yBunw1oPD0dVZjaTtehi1FdyY5HY6AAtHToEvu7Fu6bT8JmyLDK9ZPJ8ZW451JRKyFdzo5HZ6AQpGXuf1ZBfhlk7Gb9JhngpvZ6cnnT1dpkFuK1xPiCnwZhf0vZaE37QzFLq34XR93915910+550SuY1Q3eHsmDO/8TnH2cOoLU61+U09uZ7AyDs5chthOkUeeR+uqnd896/4zh4Whu5Jkd/0Cxvkkff2djFHcPbwzYAEPVdXqM+UX4dK2Ge+/z+Wf109WGP8jOvsYdgWp/5l4ShJuyQU+YLt6vHO9XAwqrJkSGn3yibaX2Fx8r6q+vHf+cO6wpNloz26PDnafTmJs4cjRsOdETGVVCyRrNBjS3OwhlgiE2wFB6BwDHyLJdLLZyS+Oq4y5MgLHDvT44uwRA6Dan2voUVgMwpfDLzqrjIUc6nxRVgiw99rk7mC2hGxAxH9BFki+1Wjxwa1iWpafCGWyND32qRWAHY6BS+6Kx1LZDC2X7qXVynxxVgixd9ro/HLbFbYy+lZIhMsDKTDd2RL5HIcfgUtinrJWSprc2aWHNQskamWtFLhS06BP7tx32uJ+RU2JugkGd7m3rpZ0THH5OpYIpMuxqZpipoCb3YBG8im4zemHW5dlreh/nprz8hVsESmv42Qoj2Oq8yVXdAGskn4jW2CV5/lKmvv/yicjjvSDTD9RjmuMld2cVZ/bX4R0TkxuCPvUeduUF/COe9I5G7bVozPG3n/yZw9rGiJXGbhKqPHoT9JYW4BmQwuTqgehyxcZaGeibSJTr49bJYZvvmzf7l8+aE3EqvssauM2gp92rBdzEGfPSz49ZCaAryz19bpuucDdZpfn+LU90mjG+zgphTdEsk5e9jhYEMoKr2K/XKIli/e2cPqOUbqG3htg3uys/uSc/awNUC84j7k8OGBIJElcm+MOctlA5ta9FwskZAvp/T4Xm9LpC66kjtsJs1pT8dFzqoS40tOwZfW34Tv3x9LpDK6nNWGanMohWVs0DodF8ntTkhYOL/oqw3u7Ia/19zTw5i+RypB84x13vXw+vzBZ/vwzpvs9k+yiYRXAdxuYHBQu+jrvJ7shr7X/Jc3cb+AVEmaZtxh26T33md76b06a2bDgONbV1LjdrcBpeAd0Vcb3NldfOhzh/8uM+aMxW+iVskj7+PbBYpX9a+HV0uQsXffjboLW4Lq3IZUm1jSR95AdiMMpyPwm6xBxpz3qQ+uHrMazMrWI+/bo+BNxu1Og7pN0Oe87uxGG07T8puwLfpqw/q6wXx99Wdll8e7c15mepNju9uwYgPkFHiyizDmJOM36TAvewAzOvZGo3FraR+nTXjMehbEmJOE37QzFCS8/ANGx8TW1ZcR4Z0jzh72SJvf1JPrxCOv5++8lyLncNaePbx29lqEMeYo8pt+YUPHVdYPcN2Y3YjsKjsEnz3skX9ZOErSLgmFgbe+YDvyjQ3XDtq1iIR1jyW/99lg0Ojbw3uBLssSWTlN6GapbH7j7gBeJcnnorr9son2V1ic/LJ58HIfzx4OER8V3JOjHqEfc25u2lC7+NDnATcpwhIP4GOM/OR13vufaIeG1hyJDD2qAiNy5IAts0T21C5MLj78dsQlhV9RBKbHl5yC8+9qsmvLcb5nDxPYjMIXs9pwedxkXtHP2yqavtT0QlKQ69nDNC4j8GXA29kKLjq2SJCBMy2+9BT4shsynE7oGmq3U/SSop4K4E1y9vBQqO/8pHMHPryC7E5sDWDbJ6XSG5HhTXn2sEVI5BLiS17n1cnuWPzyWxV1UzDyLnXPHrYKjFsyfPkj7xKc3RH4lTUoqCS7YFM7e9guBdQA+HrWkzdlRClAZzctv+K2+BVld9h0zh52SGmYFIQl3wzZ1CDfpFDObjJ+o5rhVpZtOpLw4WzFb3hKZBKiblFTkCC7SfiNbYHXReSmIwpzXuXJqTO6HNddkVOQJLva/CKCc3oI2XSEH5smZXSHLSB43RE9BYmyq8gvKjA9DuSCLRyAPFvEskOQbruICzZkaCP/snCUpF3i9XBTTseMznEG7bfkORwvux5u0C1F1vfkyP3W3uympaCdcVv0GNC42z2lGVw3LQkqbf4NWudt06luzJm6BpMO0WNAY2bXD5TK3IBdafMKs86ru9FeJrJNl0WPAYWyywvNURgmFL7rOKx4/cKgdV6tjfZGF/XKzXGdR75J0d1cOpRdraGBBhIC324McrxhQcg6L/r41mmIvvrgLkOG17O5dKLs0qGMxbdfnxTPVgiyzos45m5aoi+g+ekmPwbk2Vw6gWcvkYXRWTcYz14Ac8GGOeZuGrKi6mA4OC7THwM6WG1VdjqCZ0+wjiBcenBW88ZzvUeH15y21Ay9Fru0sqsMI8L0NTBN4N/OoMM7XnbRHAqr+Lm2ViHDe37w6Q9+ujmCbbiDbND3BL1rJRCBOSKNvWihouRpAye7vNABoWcAMaW5MwoqvO3e3Vdn9WXDF8LbYvQDMP7cW0Fgd0xeXUI02RWRsLjsRgh97RVbknctR17nfXS7zvs9jvQGZmVESGCQecvrc9uIutrQye79jsdbFea86FUvREucVTTyyPvMfe0X2+woamxw4sIcIslk0rqqJSJh3znewpts5EWgS4sjm16Ea5Hh/agZEeovtq+dANLLY5FZfyLcNqIS9nz16+Y/l8cPCbYxlPvEmL+NS+iWqLXot4cfa66GZ4dff2YIb/80INIXGwq1aWLbijw8frH64QsD79OEU3L72R0ZXUIXZPGCpRgXbO0/Zkfng/QOTgNaBbiWMh+e7SvCH2olY21odx4KCdBJKe98U6Sokj/e9oUnRzuv1sguTobGHOBpQJmrP/JzUnBe3WrhVXeVicdddkX0KL8bi3OToh0VjEMndBpQ8IMxhtQnE5Y5CysFl8cP2OBFu8qiYGJVXhdG4duPgzGj908DCgZIrASzYXt8XgquziobvFDPXjRI9ACdghB8BzEEO+bYTHukAExp3aTQ6IQrMn/HnGF2kTvBwSCiLe0iW7bUF8CbZKM9wCqYrby0vreCpwQfXmt2Qa4y2OwzHMhSAj9dIcObcqO9ALlBkmlvCtp3l3VEIj9J4c8uxLOHvHAKbNHgaErcAUc8wci71LVEUsZGIdTD+t7IzgbpfeWPvMvwXmWy7zUkuv54nk+JqBPOeMwLNvvzrcH0hnHsFuROSznYDqvZwtBbQlkiG7meHga4ytDoLr3DK/IRTk8NOrye51uD6aX9qSXkxknGPaM04unh2NBL8IzBG1Y0G5aWps95Y4+5C/zF05O7065S06Knh+1FIk99J5dmqR+avA5B7I+/JMfbUFW/YNL7vMuYQ0ivg5SxyFUX8+nhy+NT+Ikfiuj2w7NWgAklQ6XI8N6+706d4wfrf37h4LOkHrpi98e6vSV3SSasewJmZHZ7Uka32wSrKULhcBG2JfJicdtll2bEFsw0sxTbEvmU5BDBb3jF67FEoqb8nSbFY0wbminZ7LXVY8MvNoclsohhiXxdY4l0HtTY/cMg9IJIkKY7nYisT4RXZIkM/x32UDsjBsISqXECpgxdo5hWbZ0QVNr8u1gikRp83SEskfi9ysQUIvEVfRx2K1wjS6S2bBM1iCUSvBNcFIEofNdxWPH6ha+HJVJfjisMjCWyHzRmaIimD4FvNwY93qDghC2RkxB9/0LuhkQ9MSyR3NAdQQbO2CD9+rR4lkJTtUROQLRlG//b07JEwqasMYFsdcPxrCUmaYkcW+TFx+B65JQskdDFAvQlnz+eoxZ35LU/IpjFLpGcGcAQSdlCOnPkdTyACbFEgte5ZPE8ldxvOT919JsU27EhvI9hP72U2yWaojBHBZJO7pLhbfBkF2KJRKO7lIzkouHV0wx55J1XzV0K+0pkKL30vzZa/hkAdyBli0qYP7tRoY3QtxdEYUUTW28l+rShHl4vlsRtMWwB2HzEIkYeZxU/V2TCwtmVWyKV0OWFpi8p9Bci3KU5Nymq6r0mvcPbwysR0ksghT1WymcA+mLeHv7mz/waPLQiuvTwMshDlei3h+vcfrH6MR+8xNh2sFhDoRDq9BLNeZGhldGlNSGbXoRr8Yw533rL9/1GNLxGSOamiW0r1pz38vhHZCPvC17xeiyRv33ZhR2lFn21oZmNXT1e/ZEF3mKJdIn692rmvFcfryjwQjrmIw3SQIqWiPDuWiIdxpz9OcoqQjsjv8gSGdpoD5Bd6ECZtKVulWtkiUz4SMHmB1laIoH4olvaraBjiQzGTqwkk2FbG5laIkH4olvqF9axREKmDbhdtSIu5piL0v0fZ2uJBOCLbmlYcKqWSMAqmKU8C2B6g+4yGVsiI/FFt2QrBLFEEgOQFSA3SLLvTRq/9M+MP17WlsgIfNEt2QugLJE4Py9jqONCTWrCWt8RONiSiiVSll3Jxb0QX2lLPsOZ7T36Oq85o3G+WrHR3UFWevARAdtAQ4EIvI+IEfkOmy+7iLOHpStgiYl3WX3t8RjwrvbRsmwFF/Tz0pCSkBuhXfoY5DM+JXR43dkFWCJj5q/p5hrshyw48K7usg23gqP5ef1/7sTk7jTKGbJ5YsDrzG5c6CX+mbOETfnj0eF9W01jc/PSttEeZWzwQDIKub1uqQRnwGtuUPg22pPOeRFrtunW11gPFpPhvX3fncXJQ/XMNm6jPQvBY5KrLSJhehvtIXgixkE3FY5HhffbzW2In/JutEcfG9S/rqciliXySLrR3gtesTttl78RnaYC5RiusjrDB3dmr63eBnKc7j25S9aTFOYO5eVxRWC3PzSk4CnYjkJTwVIyV1kw6jWW+ThuXwX/ABslPXvYowCh6JYElbYvPDnaeeVzlQ38vLYA10L97xKEqwx/9rBH/iFvjLmBpwNQV9m+bDoilGUWBHGVwS2RToVhQuG7jsOK1y8McZUN/LzBUX3/ZJ+/Y1xlWEukUzSQEPh2Y9DjDQpCXGWT9/PKxTi1hnlGY09pzh72iAfR/my0t59bnJLX8jwlpuUq84gHZAy+trrC6cr0XGUT0GAZ2oOwH24VVxkvNEV8GKX0ulryx3PUEoy8S0VX2ehyoOpgODgs80fepdZGex6JSERXcr/l/GjR4Z3duNtMD2xnD5NcZe6W0ojhPycUod1iIRPmyS5koz2P0IOotCVHPE8z9GmDya5JoM0SSXeVuZvTlHMewGRxEC1UlDxt8GQ3MnRA6OlrTGlLCW8llp93Znw5VtMeYWxgA6z0AGYMtmxx/Lzu7LZlNBYi0QsHsSVtCxHu0nR4zdnDbzb/dJ49TIhNIAUGmjaYFJHhPW1uwGucPewReskW0VJ/CdhXljxt+IfvNRvteS2RxLHBjhRjiAySPAVsW1HhfXS72oC1RHqEQJcWRza9CNeiG3PedOPu1dlbDy/m94y/0Z4Q6vSiEvZidX+d3VuXx0/2F8spoV+QivvrOIRuiVqLYYls3TcVxVW2ClDEskQavTFVXmW0i1qC9NcqT466L/yWSMcukcQ/3H5pZ8xHWCI1XGUydNlD6BI3OenE2/wbYonMw1W2NxvtRQ8NYqDYFcXMkzoAsUROfpfIJNNgWxsQS2S2Zw+vC6Pw7ceBWCInfHB2qss4R3CMJdIqYXajQSIH6BZE4DuMAbFE6rjKYhcSLOX5AE/g7GGHRNmFjIGkIP1CsS3b6kMskch9DFeiLYY5oPG9SeeX9nnxvw2yRII8e7DZZzCQrUBM6/a6KEvkrqssbtoQ5ksIda+6MDynpyBLJMKzB71wkm2MJ+2Cqxp9nffwaz5LJMxxSh8Z+zUo2PYreYOFWiG0Rb49rJ1dLLreiEGsYRv30eF95/F2SwGZqyzYTT64Meq1RgWS9SkhwxuT3bDg5LrDimYUwuIcV9l5Y20wkp89HP6udncIL9GgzRHDVSbPbkhK6NpCi67lxEVZlkhzJ+3IUToc24fICOAOuqURnGOJjMuuU4ro9sOLVtEiitHhNbtEnjYZdlkiKa4yC8FjDLmpxIK3XXLE7hKpjG63CVZThMLhImR4b993p86xGRkAx7dqf1tPRkR4u7tECrL7glf8XnMlasrfaVI8KrzfPv75pbkFdHiBgLfRvoNrRB552w32aHuV9UOPjO6mC6JKMV1nWCKb/84OL8rZw16ZtC6g0fIAAAuBSURBVG9fUf+QzdnDPHhjdFOsyOwMOiGotH3hyU73Be/sYUuA66H+mCGyRKo/gNlQk7SiKxY33m4FiCVy8q6yNLJ82yEskWg/bxSBKHzXcVjx+oUhlsgJu8qSyT5Pg1gioX7eaPoQ+HZj0OMNCkIskfu5V1kjzmI6b0Mii/R3iYQMnLFB+vVp8SyFMJZIWoDMRL7y9ZSYliUSNmWNCWSrG45nLaFjicx82sBZvPHDjbBEDoPKsou82rKNg1Gd8Mdz1NKxRAZjT1YOVB0MB4dlkCUS4ZZGoiuO56nkfsv5qaOPvHV+H6wnZc09Yq5pL+FyuVuUu5F+GvlL6WTC/NmNHxrQ6C4lI7loePU0Q18qqz/5M2McMffhuaY94p9aTc55AJPFQbRQUSph3uzGn/oOnTFIw4omtt5KrJsU82Y9QbjRHhtg3AMrMGzZIhLmzW70qe9K6PJC05cUbvZeu0vTbw8/tl4nj9loj0AKDDRtMCkiextOm3UGx0Z7UX5eRXTp4WWQhyqRR95n7ruzfLF6cBm/0Z4dKcYQGSR5Cti2IhL2nePtBRt2oz1ldGlNyKYX4VpkeD/6KjMr+4HDi6tnXGcPM2JHjqpCqNOLOjw+X/2WmfNeHj995jq/1TM03PRK3nuq/O3zO0GtRZ82vK+qjprr4cdQO8iCUJsmtq04qw1H69UGbuiR0Q12QbikFq4lc5X1izqOb72WMh+e7avw32kt+tnDgOyGBsrIHCi2dFNgidyDjfZSqD/yI1xlDulZIoEjNrql3QoQV1kex7eqTyYscxaIq8wuTUskCF90S/3CEFfZ5I9vTTAbtsdHuMoGft6ooYFIC4Jeeku0pgYFMa4yFUuk1k0KjU64IkNcZcBT3xkDXSy+vJbCRS2FpuoqA6yC2cpL66ezRNpcZSg/L282EDV3QDdlLTFJV1mA3CDJtDcF7bvLOiIhXGXDoLKhgQ+jGF9ZU+x4gpF3qbrRXthmuIy/ScHm3hE42BB/5F0OL9gcC5Hk0K1EIIrwlTHvruSMR4e3WUKvKvslBcVVFuj8tqD04CMKtsNqtjD0llCWSE92IQuR4ilA5GpWfEVPPDK8jTHELPaaY3K5W8HR/tQScuMk455RmkqYL7uAZ7PTTV/RLXnjMe+wzTZn5BLEskSmJ3enXaWmOZZIV3ajn82OAmodAF3SXf9m77W7NM8SeWrcpk5LJOEmhYOUschVF8cSWQ+9P/qbNktk3EJkNLrrIKhS4Rg3O//2lWVZIhcnr6nHhS9E+HmN+mPd3pK7FFkiI7PbEwRdWhx0U+F4dEvkK+pP/rfe8rqLxe1X4i2RtID5iW6J/FUz8f3U8VMnrknZ2JZIfyM6TQXK0acNTzZfXbM33H592WiPLurf68XK5O/y+CHy9tKRHaOwOBQiJd1ORNb3ZKf7wmuJLK6yjna+SFQskcG/XFgydIGD66YTgkqbf0MskWWjvZUGsyCIJbK+YDuCZldMIRJf0cdhtwL9JsWXVh/4+58oG+1ZZZu/s29SmCHCkt35jbsweKMIROG7jsOK1y9MH3mr1bxhbrn7vr8b7VHluPAk79vQZLcm+En7jjn1/30e45aOpg+BbzcGOd6wIGPOu777/vzBZ6/FRnuNIm9q029SuLN79TcNq/f8EmDkhQycsUH69UnxbIXoqw2nm/Te+2zIOrIX0wbaap7/bfpNCnd2rz7+JjMr+7/eM/HqlkilQLa6wXj2AuSR9/HtAsWrLvb8Gbah48FBcXCZmjry+rILuhzGLhYIozmreeO53mPMeZ9qxwbLnDeP1Ya4bXYoLA9Fn/O6swu5HMaiK4wYJtT2prsSfbVh/SiVcfVz0zv2bTQKc1Qg6eQuGZ9fT3YBl8NwciVhw6W5MwrIA5jB9DL+3Ful3mhP4xMm+vJBXw4rocsLTSvJu5aTwUtTLwARERhi3vLq2LYCzpykGwsooksPL4M8VIuzb8NqLyLnCZiU9Dpp4Y6QVDLdv18KMeGVnYDpkzK6tCZk04twLfoF2wHw7GEei8z6E+G2EXmpbLvaIMjuTa/YnWbL3z6/ 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