{ "cells": [ { "cell_type": "markdown", "id": "9d5d6878", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Advanced R Visualization\n", "\n", "Feng Li\n", "\n", "School of Statistics and Mathematics\n", "\n", "Central University of Finance and Economics\n", "\n", "[feng.li@cufe.edu.cn](mailto:feng.li@cufe.edu.cn)\n", "\n", "[https://feng.li/statcomp](https://feng.li/statcomp)\n", "\n", "_>>> Link to Python version_ [1](https://feng.li/files/python/P03-Data-Visualization-with-Python/L03.1-Pandas-Data-Visualization.slides.html) [2](https://feng.li/files/python/P03-Data-Visualization-with-Python/L03.2-Statistical-Data-Visualization.slides.html) [3](https://feng.li/files/python/P03-Data-Visualization-with-Python/L03.3-Interactive-Data-Visualization.slides.html)" ] }, { "cell_type": "markdown", "id": "80dafbfc", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "> \"The simple graph has brought more information to the data analyst’s mind than any other device.\"\n", "\n", "> — John Tukey" ] }, { "cell_type": "markdown", "id": "aa3fc7b3", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## The mpg data frame\n", "\n", "mpg contains observations collected by the US Environment Protection Agency on 38 models of car. You can see more details via ?mpg. Among the variables in mpg are:\n", "\n", "1. displ, a car’s engine size, in litres.\n", "2. hwy, a car's fuel efficiency on the highway, in miles per gallon (mpg). A car with a low fuel efficiency consumes more fuel than a car with a high fuel efficiency when they travel the same distance.\n", "3. ..." ] }, { "cell_type": "markdown", "id": "cda8df49", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Basic plots\n", "\n", "Practice and look at the help document of plot" ] }, { "cell_type": "code", "execution_count": 1, "id": "0ee0f660", "metadata": { "lines_to_next_cell": 0 }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "Plot with title “Regression of MPG on engine size”" ] }, "metadata": { "image/png": { "height": 180, "width": 240 } }, "output_type": "display_data" } ], "source": [ "library(ggplot2)\n", "attach(mpg)\n", "plot(displ, hwy) \n", "abline(lm(hwy~displ))\n", "title(\"Regression of MPG on engine size\")" ] }, { "cell_type": "markdown", "id": "a4f0b2af", "metadata": { "lines_to_next_cell": 0, "slideshow": { "slide_type": "slide" } }, "source": [ "### Histograms and density plots" ] }, { "cell_type": "code", "execution_count": 2, "id": "3a78de93", "metadata": { "lines_to_next_cell": 2, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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GDJ+S+CLCPOuLYPggAAAABJRU5ErkJggg==", "text/plain": [ "Plot with title “Histogram of mpg$hwy”" ] }, "metadata": { "image/png": { "height": 180, "width": 240 } }, "output_type": "display_data" } ], "source": [ "hist(mpg$hwy)" ] }, { "cell_type": "code", "execution_count": 3, "id": "aa3ffd3d", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "Plot with title “density.default(x = mpg$hwy)”" ] }, "metadata": { "image/png": { "height": 180, "width": 240 } }, "output_type": "display_data" } ], "source": [ "d <- density(mpg$hwy) # returns the density data \n", "plot(d) " ] }, { "cell_type": "markdown", "id": "70400f5d", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Piechart" ] }, { "cell_type": "code", "execution_count": 4, "id": "2ead9c0d", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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7HW89y5c1+8eNExbtI/VKZT9IzGAQMIAvRfqne7u9LqZqdXLCgoaPny5Xgv1Fev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\naAAARiGgAQAYhYAGAGAUAhoAgFH/B7oJAfbYQPeZAAAAAElFTkSuQmCC", "text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 180, "width": 240 } }, "output_type": "display_data" } ], "source": [ "car.table <- table(mpg$manufacturer)\n", "pie.cars <- car.table\n", "names(pie.cars) <- names(car.table)\n", "pie(pie.cars)" ] }, { "cell_type": "markdown", "id": "22a9e5f7", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Boxplots" ] }, { "cell_type": "code", "execution_count": 5, "id": "846c5125", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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DbLOfCH/Ym6Pqkt/sDqVvAS7Vm+Am8o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\nnHUrnFj2kGUAAAAASUVORK5CYII=", "text/plain": [ "Plot with title “Boxplot of MPG”" ] }, "metadata": { "image/png": { "height": 180, "width": 240 } }, "output_type": "display_data" }, { "data": { "image/png": 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hMwW55mwg3FNziglvMWD0vHi25hBc6C5TtmehX3N7AO5xITT1xsZCikLNp5s8p2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\ng4IFBwULDgoWHBQsOP8DRzhTdw47oNkAAAAASUVORK5CYII=", "text/plain": [ "Plot with title “Car Milage Data”" ] }, "metadata": { "image/png": { "height": 180, "width": 240 } }, "output_type": "display_data" } ], "source": [ "# Boxplot of MPG\n", "boxplot(mpg$hwy, main = 'Boxplot of MPG')\n", "\n", "# Boxplot of MPG by Car Cylinders \n", "boxplot(hwy~cyl,data = mpg, main = \"Car Milage Data\", \n", " \txlab = \"Number of Cylinders\", ylab = \"Miles Per Gallon\")" ] }, { "cell_type": "markdown", "id": "c0041c10", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Correlation plot" ] }, { "cell_type": "code", "execution_count": 6, "id": "855039ca", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "corrplot 0.92 loaded\n", "\n" ] }, { "data": { "image/png": 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Hbt8sD888/YsQNDhvjHZjQ2vxYvRmIi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+TJZfoi8uBsBxXFNTU/i4VqtlWVYQ2d60PEeBWR/iv/YAACAASURBVF0fnfAroNQI\n3aqaj4UPipLTDMXFjY2NkeJeJBIJ2eQEQbAsW19f3ybPGkKLwfNpQTMBngdhpLVBgtaxTgXn\no3nGYe452qsqT1KePHmSYRhhpVEUJWxYjUajXq9PTU1ViCgAFBlXQBOQi4fYlx944IELLrjg\nySefXLhw4SuvvGK1Wm8bqBTx+uuvV1ZWvvPOOxKJ5LHHHrvuuusIgjjjjDN27ty5cuXKFStW\nfO/EA6eG709A33svXC588gkuvhgAnE4sWYJduzBiTwEAzz+P4mJUV4ck+Kef4tJLsWrVoIBu\nbsZ55+GTTyDEwK9ejauvxoMPYuvWWL8vcHEAEAeZtpfeAc979x9Je+ExOjVJsXB2VAFNiGhx\nQQ4Ax4btto82APAerCHlMtXi+dKywo6/veZq6/RIaABisdjj9gCo73Y+/H41z4MiiRdvmpqq\nk501ITmqgM5PVabpZQDW7GkXGuw5aVr5yylZiYq8BJHLG6rMtn774VjBDxefUTJ7QmZhhkEu\nHd3IIxXTZ07NAUCJJGzQr1KpUlNTv67cJSKYM3KjC+hmC9NsGRImmKWjFxVLAGxv8B/pCuQn\n0EJ9KaU+JTs722KxhOsnUQD3/of85EkoL8PECXx3N1EZxXBMdHZi+wjLeGEhn5kBQJCbEonE\n7/f39fWF0xOyEqLT/tEUkZ+iALDxcN/He7sBHGy2ySTU4klJZRlqAHnJijSdFMCmKvOKBQvM\nZnO4HJ9IJCoqKurr6zObzXZVstHvSO6P917kCbIzsQTgCY7jI7yFPM83Ng7Samu1WkdLCyeY\nNctK+XlzT2Ee+Lo6TJnS2dnp8XgiqRdol13z9SfBi65n1Dpv4WkxBbRGD4C2mpRH9oQPUnXV\nqYsvABAu/QVArVZPmTKF5/l927f6SBqAK7s4loBmVFoAYke/5kTE754kDGcsaDAaMVDfliCI\nmTNnHjp0yOPxiMXivLy8XqfPbPRHGiOkYERgAZgojYnSAPAQkqJAJwAZH/iuw5Yu4YTFkJ2d\nnZ2dLfwtlUp9Pl9nZ2dqaqqf5RAK4ohn4wgO3Q2cd955q1evXrFixcqVK6dNm7Z9+/awKePA\ngQOrV69+8803JRLJlVdeyfP8888//9JLLxUUFLz55ps33HBD7F/5QfE9vSUOHcJ33+Gyy0LS\nGYBKhZUrozcOBmGzIRAYLAt78cU4ehR/+EPEuEi8+CLCGUpXXYWlS7FtG+qj++4wwLkDIFjf\nKuw0eZbznWwCIEpJpFOiePZ5huV9fgCsY5B5iLU5APCBAIDOrTuFtUJRFMADaOx1CU8Qy/En\nOh0AUnWyFG2UTKqshND2sKE71DkPnOxyAshOlO+uDik12/cfjxX8UJRpmFSQMhbpDCA/XS+m\nKQCd5pBmRxCEIH+TVFSicvQbLaaIW2YqRBTRZmU/OuIGkKEJCaZj3X4APM+HxQcLEK1t5Hsf\nEGYzAD5WOnV7B7Hl6yGf2qN8agoAovaY0JuQ0RuZPKaQUMmaKHsvluN9AQ6AwzNooba7gwAC\nDIcIyX6oyVLXYY4ccDAY1Gg0ZblZkqAHQL96lGg8kzbLL1EaHD1iZsi7zePxhGukqtXqEoMB\nr70Ztmycyjzs2efd9BUAh8MxzJ4W6OsBz4mM3QBYlZZVRY96FAQ05bCBIBm1jpMrALAet+dk\nLYDwHgUDDjGCICTmUFoAo9AwiujBzkGVFgDtsoMgg0oNK5UDAM+bj1YJN0sYLUVRNE0rlUoA\nfr9fo9G0B6X8UDHKgTDTGjOtcVKhvRFLhBaknxB5Amyn2Rae0vBZgi3b5XKFuZNIkqBifwgi\nijhbtmzZ/v37bTbb1q1bI4k43njjDZ7nhZ8AcNVVV+3fv9/pdB45cuTHI53xvQlooSrd4sVD\nDlZUICpZgUiECy5ASwsmTcLjj2P7dni9KC9HTs5gm6wsDIsSFTqPLaDDT7ivc9D+yDlDq5My\nRCNH53nPwRoA6vPPkpYWEGKxtLxIdd6ZANw7DwBwtrYLAlrYwQFYMjX1tdsrZhQaALh8IfUz\nQR1Fmji9oVP0qsFvwy17zaEdYnuvBTHw7paae17cdM+Lm15euz9WmzCS9aGlZrYNPpBGZ2iE\nBvnoN/rC02RpGooH3t7vFranTn9I7ggZ58MTcNVqcBzf2gYACQYYxkD6LBJxV18Jmia6unHy\nhHBMr9cDyM7OruocFLsJqihpMjyPg81WAEunppSkq8Q0WZ6pOm9yEoBdJy0AnAOuQr1S3NZr\nHzbgQCDA9jQrPFYAfrHcL4ppSAnSkl5DPs0FU03D1xtFUWHOEJ1O525ugc83qC2Ofx6IjRvd\nLS0AcnNzJUNNgozDCoAMhN4QjCI6TxCr0QNg1VrTspvNF99oXHar8bKbfVkF3pYGAKIIH7vw\nNxfwByJM5Ywsuv2aUekAMEpN16Jres6+smvxtV2LrvGk5rhNQ7jrBKN5OPWutbWt0z7cjx0g\n6F5K10vpvISY4lkZ588ImgDwBGkhVSDQ7w/dqUgeu/CLMBAISGkSAxp0rA8xUPb+54TvycQh\nFNEYqFI6iIwMmExR2r//PlaswKpVeOIJAJDLcfHFWLFisIeRRD/p6QDQHt13hAFPBYBAvzV8\nkPOGFjcpi24Nt775EamQySsmJf9psIChe9dB2+oNADy9Rs7txtDC8glqyYOXlL64od7rD+k7\n0mgsFk29Lo4HSWDZrMx2k6fX5p1bmjglN/SesDvdgARAnzlm7HOPxdljcQIQVOP4kA5kElps\nHmRrAbAcb/Uwwi2W0KPEnCapqHOLJQB2N/s7bSEx12ZlhEvIVnpdLtcweccr5ARAeDzCvPMa\nLWHpH97vUPBnn4WkJILniTVr+YGsQoHJQSaTtVm8kzNEA5cT/Ul7e3uHQkJX5GufvGKwHNfu\nuv6P9nYDaDa6hQFfNiO132bXqIcLaJHbQXOhqwvQEkGbHomuhCKOpNL7TtLswH0fWF1SqVSr\n1QryiCRJh83GXXU5AILjeJI8hXkAw3IMyzidMpVqWJAv5/cDIIKhMfB09NzOoFoHIBBRDIVT\nqGxnXqCw9iYAKpWKIEKklQzDsCzb3driTRo0PPIxUhAFG7QvolYhK1OaZ5yrsQ6JB2VZVjDK\nC+jt7UmgtX1UzPiHNMai4ULT3k1pvaQEgAtiJUHwPN/a2ioo4xjwbQIIBAJeRjBxxCPsJwDf\n//igo0MgiOoZkU4dceeGQCbDY4/hscdQX49du/Dvf+ODD1Bbi+rqkDIykmFW8MunpAAwGo2R\nFLQkSQquXgFDgjoHLXrRb6x0SrnstNCjznt9hEwKQDqxRFpe6K06zvoDgltZLBYLMnp7bd/8\n8iSKJG48K3fLkdD1RjWLmRz+LUd6zpuamqaXPXvj8CB/T4AVRhefc2PsCCfdDZp6WI4bODgq\nT8V5JRKKJBgOnx0dVH8sbu6bRv9ZhRK1BAcOjDCACp63sMojGS01PMHAnzEXAH/oMNHTi4zh\nRoZgREhWrNJzk3PUp2WGdsHeACcTkwAmZqnLMlTVrXaTI/BVjXHxpKRUnRSwe4dqciKRCCxD\nDghojoy++F1yvU2dKvfaDPbuqA3CM2wymVwaNTRqAKirR2kJMJ55sNn5c0L0LycaGiaMdIAL\nP8THu4k8QfBiKen30g6beu/XAX2Sp3QKo08CQXRrk4LHjpWXl6vVasGn19raKgQ1Du0rSr88\nQfAiCRnwiVx2/ZEdlNflTc2xTJ0PgnRqhjCLEQRRXl7udDrb2kIFgBIYu5lUsUR0rcJNygBC\nxXlI8OlMP8XzZlrDEHR6enpnZ6fX6x250kQikaBh0CRJx/bdEQQRVVX6SeN7EtBFRQCwZQt+\n+cvBgy0taG+PolY3NmLVKixciDPPRFERioqwfDnOPRdff42ODgiKVVsbmpoQGeny1VcAUFwM\nwOv1ms2DyRFCalDY6yqOsGaE4+cEW/MwiHMzEu9bDpL0n2wyPfcma7XTKYmJD94mzkpL/N3t\n3fc+KU9JnDlnTmVlZUJCgpDa32727Dphml+epJGLEjWhzn0xKuatqmzmeH7J1DThcei0eFr6\n3GeUJQLQKBUACAJJelWPedyhxCNhd4X2CnptyNYhFVEaWWi9+ph40dpiCtOzJACqugL9Hg7A\ntEzxjGwxAJKA0cUmKqNkfRF2ByBY5oX/j/IS4ObPA0WBYYmvtwIgXG7h1LC806oGTfm+YJQp\nzUmS37s0nyRQ1+1auaHJ6g4mayS/vbAgK0H20EUFRzsc/iBHEkSfzZ+kkYwcjkQigUw5+M6O\nIe86k0oI8JnGEwBvUyYHaQkAjudra2sFVSCs5yoUCsrhsAcZSMS8IJ3HPg8cD50WupCmaXW5\ngOFEE0LdcV4UkvhEMEpsOMHzSWtfD//Xn1XAGJIHroUUHpOUlJTIoAu5VEo0HnVnFIR6YKN3\nm775vcgjio4GX1KGO7Nw2IuNoqjExERHRCAKAV7KB90xBHQ/peqnVCKweYFuEc8ms1YbpVCI\nKSGsrTMil02r1QrZIhKJhOMIjFaTEAR+Nuz2YXxPJpvJkzFzJtasweefh474fLjrrughliSJ\nP/8Zf/wjwgsuGITVColk0LLBcbjnnkHtbN06fPYZ5sxBeczaceHFLUoefMOTmpDZjjFFMfXK\np08WHJWO9V+xVjsAptfk/GIbAEJEy6dNlKeErI3h9FCNXGRyhEalU4b240ZHFOkPIMjyb29r\nvvHlfY+vrv39e9X3vX1YGCPD8QZdSA1MTRx35dCosA0IaIN6MAQiQTVg93DHW7jTMiVSEQHg\nYEdoN52ipqZmiKdmiCeni5OUFM8TkydPjmSVJHgeQpxZ2GzqDyA2eJEIkyYCIE6cIGx2ABhw\nXoXNR3rV4MiNjii9Tc/XCo/n+gO9VncQQJ/dv+FwHwCKJCZla6YX6Kbla5O1kgDDSfUZkSZd\nkiTFYjGVmM5RoTkhuSjvAIs63SdWyr32gEhmVybZVcmCPOJ53mw2WywWAGGqHZVKlZ+QSK58\nAZHZOmOch2imv//H3neHt1GlX58p6pYsy5Z7t+Oa3ishjRZaCFlaWJaFpRPKjwWWsrAsLMtC\nWGpgCT1AQgk9oaRXp9pOseMe9yZbktXLlO+PkceyLMl2MCX5OI+fPNHM1Z2rO3feufe973tO\noIFWqQBwcp+vnLKfIhOA2ODY2NiJEydOnTaNoP0c0w5biO8Fggql4tPfBwiARL8HX8Z7daxV\nx1qlvO+R94KykCoABCDjvXFqGUmSo0aNmjNnzvjx4wsKCvqqIkmpVMpyHACKCPdH+K0jzxiM\nXJjd88/jvPOwZAkWLEBqKrZvR0cHZs+GsKTyR2YmLr4YX3+NggLMnw+LBdu3o70djz4KkWUq\nORlFRRg9GnPnoqEBW7ZAoxHDQoRYnIBaRRsqy88GSYLjSLlMPjoXANPRxXQGMdCsxTc0KT+b\nTif4NjZZq005Y+LevXsBOBwOjidIgh+frvX2pqWkRisBdJhdneYgQWxREdKl01MAVLdZd5R1\nAlDJ6ElZOgBljT1Lzp9obDsJYMrojOITA7po+KhrMVkdbrVSlhwTAbAAWJbNiaEBzmBju2zh\ngnMnp0gAMByOtgbP3yNJREVF+ROoK71ep/D2jfBN2IlQ7iwBY0b7TPnRXsHy1jaKJFmOE3Nq\nC9Nj4OkC4HCzhp4g7zwxXTAuss+NkKANsrtAksSE/IyjpSZx00mr1RIEQeuTGJmvwTJvkJxM\nr1QBwK7QnlQEoZ4QQqrF2ajH49EUFtAs6z1ezs+aIRwcaj9s3kL2dkXCZZfmPPgABtBESPUJ\nPC1xx6cAoKw9pDXISsuVNsoyZS4A1YlSVdkh1dH9qmMHus+7wqtPADBz5ky3223ofRk4nU6N\nRsOyrDPOR1pP2S1kMLvvSMwwjZkJQF13XFN9BAAIwqX3eaVommYYRnBtcxwnuqGFwDsALqKf\nn4cGm8h0A+ihVE207/mS9xprlpQmR/gCnzUaTVxcnLAzL/ighRunkNEQRK3CxUETit9dHCEx\nYwYOHsTDD+PAARw7hpkz8cgjeOONIAYawAcfYOVKfPIJPvwQCgVyc7FyJa66qq9AdjZWr8Z9\n92HDBtA0li7F008jOzvM9QmCIEmS4zhGIYt7+HbnsQrl1PF0TBQA63fbhYWt/v9ulOVnAzCs\nXO0+UessLQfDgqaili+RF4zy1NTL8rIVEwoAcC43WjuTxo1uPnAAgMlkUioVLqcjI863g2Fz\nMUJ4xsbiVsFg33dJXn6yBsBzX1WcaLZYnd6zR8cqpNQCJi4rPsJk88wtjBVS4I41O+6O1xrb\nAOCisyeE4tAYFjwMu624/uLZuSRYAEajsa2tTUZxALZU+6Ixbp0VMUpPA3htj63a0Of7ztZL\nALT2MO5eT8i3Zc5vy5wUSbx0mVZOEyRBVFdX+2d5JWdkVpMkJDSflQkARiNvMoVZ2/NjxwAA\nwxJCwA8QkZ2lSUxsbm4WMj6MRqOW8rHAnez0bTzee2FWXmIEgOc31Fa02I409DAcT5PE8jkp\n+cnq2nZHXlLE+PRIAC4ve9c7x61O5q1bJyikJEGgqeGkf9RaUlISAJblbBF6cJB6nZJgBjo8\nsrKyPB5PS0uL8NFkMiEzM3r2rPb43nwWc89w+wFAzNw+yiTRxgFwa7SOcy7nVGoAyopSoVrz\n3As9sYkAtDs2SDtbJN0dnEIFgrSNncaqI6kekyclS7DOMTExEolEmPsLFVqt1gMHDjAMI0a5\naerKhGq7pi506+IBRB/cLO9ul5q7WLkCBNmTO4FVaWir2ZmQ5tHFAYiJjpYrFM3NzYI/geO4\nvXv3CmNDaLkmMjLJbpazTgCNtN5Byl2EjAFJg9Ow9kSQbkISwblUnBOAm6Cz4rRRKmVZezvD\nMCRJiuqUQm1Ccrbby6J3Bh0KAZmEZwZGNNU7Jwef9s9afu01vPaa7//+p9RqPP44Hn88XG3Z\n2fjyy2FdnyRJjUZjNpvl4/Ll43w8sK6jFdZNu4X/EyolpdUAEMhzmbbO7jfWRt9yNSGhldPG\nK6f5Jk08w3a/8n7WhYsUSmVWVlZNTQ3HcS5nvx3/CDkN4Gi9edMR36a2SkZrVVL0xvowLP/6\nDzX3XJQrpcnFk/oc8T+Wtk8s6POtnz0lL0Yb0WUe6jIzDN7eUDylICVBpwQgTpoazNhZ65tF\nKiVEpJwEQPtNQ3RKUiUlABhsgYOb5fj3DzpumqHiOK65P9GVwemI+MsNFpqCVguA2FskZPHy\ny6/m09MAEB+sJfzezUR6Gg+gs1P0AKT+6TpdZqbNZhNm0P4U6Q1dPtOplFFalQS9Xdpmcq/e\n3HDzonSaIqZlR03L9nmHGI5/9Yd6wenxxub6uy7IpEkioMEtLS0Oh8NgMHg4ANCbG4UuqE8c\nZ5NrAaS3HYlwmhMM1QmGav8vVuYtcnKEmOrNsqyYOCfYO37RAr7XWUfs3jPcfojIGaWbNlUs\nQFGUQqEQXlo9Njti4gHI2hqV1b7pNieVcQqVUBQAZbOoD+2yTpnLS6SOnD41ZLmEzs3NBUAQ\nRGZmZlVvfKq/bqfC0BJR7wt25GipL9KZpADQDmvU8f2mMTN4WmpN76NUlpFEbl4eRVHijUOv\nJo4AqVSan5fnOn7CY2fR60JlQbRKYlK8nQSgY/v8JBxIozJhSWoUQRC5ubllZWUBIy0pKUmQ\n6RISCCmSoMJtEoIeDkPeaYEzjW503LhxtbW17S0tXrfHW9/sKCmzfP49H5qMwrZ1r6emXnPZ\nedLMFDpGx3R2uWsaLOu/J13uMR/9D0BKSkpNTY1KpWIYxutljFanlCZpiqzvtJfUmdbvawrj\n9tp9wtDZ41o2MzUzTqWQ0s3djh9K2yvaHAdv7yMEkEroB2648K8r1/303+72soWFoxWku6Wl\nhSRJtVqt0+lglbm/3xvmW/Ea36qwc4CBBlDVxecWjO3qaLFarYJVUigUDofDaDQi05eURVTX\nEPt9O++8XA61GgDhFxrIayN5hQIAun2OJs2Y0fp5Z4Mgxo0bV11d3draSpKkQqEQsirCdOm2\nsq7aDvuSqQkZscoYtbSzx13TYf/iQHubyedl2lNpjInSrLgwd2CDBWJJAFEatb6l17iQNEPL\nAPBEkCdfkl5AyFXwM2oURWVnZ5844bNr/vaOaGom9h8YVj8AyLp7Bfobnezs7NLSUgAkSUao\nlERxkWLfVoROTFedKJYYO+2jp3ijoiGR0ebuSLms4MIl4ra5YOPUarXD4RBy/+RyeWykmtzy\nMcuGDCJS1x6T9nRZRo33aHS8RCqxmjQEX3DxMpKi0PugCYsJYeWqUCi0Wm1mZqZEIlFJKU9/\nGkQLqayVJsUyJjnvlYB1g3KQcotMd2FhsuCXiI2NlclkDQ0NVquVZVmWZZOTk0f1JkMI8c2D\nZhKGSQQ/TXGmGWhhq2HUqFG7bn2g8ZOvA852PhGEvN/T2Nr1wtsBB2e+8E9pZF9eQGJiorDU\nWvHCtx/8EJx57h+fBOHfqWq1PvVZmf+RN+5fIu+vfnLLH+a/snZzQ+swSDuDYvmFM8flpXEc\n19LSMmrUqMTERADpwCXTUr/a3whg5fYgmzzl7d4b1oWM2338qvGJcdGJcdEAiouLBZXb2tpa\ng8HAMIyMYZybtxBbt4fnCyT0ep9ikdEIQBKlzX/yCfhYysisrKzW1tacnByFQlFS0q9vn1wf\nJC+pscv54saQRKASirxl6ayxuYkADh8+7HK5/BscERGh0+nS0tL4nGzbD++z3SF1dgDICqcr\nZ16Ig4cCjguZNRqNxuFwCK5YCU3jcDGz9uNh9QOA1Ouv0w5IPhS3CpOTk7OystwJcfWle7ne\nBZxuUxDaPGlHs7TDN/FUFY5PufexgYotqampAbK8ruvvbvvfM5zbBSB2bxCSUllXm74351Ce\nkZN420Oi2ILwoJnNZq/XO3PmzIAvCjl7FQZbzclu9LodXISkUdLXgAS1fGmOXiPrexYiIyPH\njh0LwOFw7N+/358X1MPwAEgSYRgyCMKXUHom4TdpoGNjoRtCOlZYzPzvP3qq6rpKh0BaNgB5\nf74q59rLg576z23nHa9rL60O92CHwU0XT7l83uiAgzIp/f6/bjrnpv+EEtA6Wttx7r1rgp4S\nkZ4U8+97rgh66t/XTmzotJWeHCR7YiBuOz/voimBEsjiK1D42FDfUL95a9/ZNwNfdQBQXUM+\n8JDwXzoiovCZf8uDSaRrtdp58+YxLPfa9mFTd4p46qYFk3P7RXYGNFgAodZqLrvdXbYv58hO\nrjmAIJCg49MUU8+hEzIAiGSVAUhOTvYX3XBlZh7Zus3V5vN3DdoPAGLPWZRx800DSwn9IH6U\nJaWmP/yfphef9BoGZwyPnDkv4U+3E0OTGpBn5SXd/Y+21c8xxmDZZH5QTzlLf8WNw9VVydNH\nZEQpj7ZbarvtBrvPpSMhidQoZZ4+IlM3DOlLOS2QJYEOY6CB3zcJfxGUlQ1eZjBQcvmCj1Zt\nvvKW7qPD46rPXHbR1H89FOqsXEp/8Pc/XPzAmrrWYdu786fnPHnTOUFPzRiX/cpDf/zL48Ge\n6iFAo1J8/fI9MdrgObsyCfXuitkr3ty/s2xA+k9o3HNxwR0X5A9aLO3P1ysSEyuf/BfnCRde\nJkCRkjJ65X+U/jn9A0BT5Or7L172909KqoetYLBi6bTrzx+y8AdJycbMko2eyRiaWUML57AS\nFE1GaOnETDJiSFpf/pAnJk589+2yB/7WU3pkCJcm02+8Ie2G6wfPIAIAyJJSMx57vuvrj01b\nN/JM8EgbiT4u9rLlmunDUxCWJqam/u1Z847vzFs3cMHi7WSpWdEXXqHIDSnVFh4ympySrJ2S\nrOV43uFlaZKUhzGxoeH1aRKGU1QhCDC/h9mdRlDE6c/f+OGeFQ+f/HxIGhOkhJ740N2jV9wQ\nvlhijGbTC3++/qnPdh6pH3pj7rx8xt+vXxDGR3bdJbM5nr/zX2uGm1uYFBe1/r935mUEmZOK\n0Cglb90x66VvT6z+sSpoDki/CqOVj185fsHYcBX6I/a8czVjx5xc9Xrnps2hCJHpiIiUa5cn\nX3UFKQ9CLBWASJXsm6evuueVHz7dPtSXq5Smnr1t0dULh29HCIKOTaFjAxcKpwBJVNS411e1\nf/1N/eo3w6jMaCdPzlxxuzovL1SBoKBUEXFX3aA77xLroSLbkYOe9hamx0RIpJKoaHnGKPWE\naRHjppyabiwhlUUtulQ7/yJXTbmztoIxd/MeN6WOpKNjVYUTJfoBpAunBJIgIoagaxweFEmG\n2yQMr/h9euJMNtAAaIV87uqVOdcuO/T4c91HQk/MCSL9onMmPnK3Jit9KNVGqRWfPXXNW98e\neu6jXd2W4HwOIgrSY/9xw8IFkwfn/77+0jk5afHXPvS/5vahTs/PnpL3/tM3x0cPPuOjSOKe\niwuumpPx6saKjcUtJluQQOPsBPUfZmVce3ambJhLRXliYv6TT2TcenPXjl3Gon3ujnZ3Rycp\nl0mjo1VZWdFzZutmzqAjhqFnKpPSr96z+JwpWf/6YPfJtrCRxcA5U7Ieve6svNSY8MV+ARAk\nmXDpJXEXnG/af6B75y5rZaXH0MXYbNLoaFlcbNTkydFzz4rIGZ5WrD8kUTG6RRfpFgXh/v+J\nIChKkTvmlGfKPzdkfmRJIQsRGJbO4WmBM9xAC0g4a/pFWz7tOlLWuGFL++799uY2p6GLpGll\nQlxEalLyormp58+PSAvGWx0aNEXefMnUqxeNW/N9ybd7Kw6eaA6IPVDKJQsmZV0yp+DSswrC\nbj33w6wJo8q+/Nera7c8+85GgUMuFPIyEp5acflFZ08YVrPjoxT/vGbC41eNL6nrLm/qMVhc\nPQ5PjFqeEKWYnB0jRnmfGuRJSclXX5l89ZU/pRIRBIFL5+Qtnpnz9e7KDfuqtx4+aXf186Kk\nxGrOm5a9ZE7+lLwBdAK/KkipNHrO7Og5s3/thpw5vNxPngAAIABJREFUcA+NLOn3TcLTFgQR\nM350zPjADbqfCLVSdttl02+7bLrJ6qxp7u4w2XpsrphIVaJePSo5Rn5KazqFTHrfn86//aoF\nW/aVf7Wt+MCxutZOU4/NSRBEnE6TGBu1YHrBxfMmTCnMDJNVFR4USUzOjpmc/etPOQeFhCKX\nzs1fOjffw7AdRnu70Wp1ePRaVVyUKjYquCDT7zjzIEyNaZIIE+lMEJANgffx9AJxxtCLHDp0\nyGazyUKJbP0EuFwumqbpU3LwhYGQhTzEBg/UkA9T0u12/+oNHjp+vgZ7PB5BzHRkq+U4zuPx\nnHY9LJFIAlLJfzpcLhdBED9TgwsKCsQ4mR/2HDxv9tS71+2Rh1AtAPDFU3enpab+sPatkW3M\nr4szZwYtGC+RF2YEIRjoEa/Z6/VyHPdzNFiwd4PWzHGcx8uyHCehKQlNDWr9vV4vy7Ij3mDR\nfEiGGcU1KAQGnxFvsGigR7xm4Y3yM/UwTdM/Rw//HA3mOM7tdvsPSJblAZAESQXLJxJAEMTv\nZEm/XVAURVGUv878SGHbtm0pKSkDBduDwulhFEPzbJSUlNjt9hFvMMdxO3bsSEtLSxxI9Ap4\nvMyPe49/vb3ku11HOrr9KCIJIj8z8aK54y9dMGlSQXrQmoVElRFvMMMwu3btSktLSwgWHP1T\nICSqjHiDPR7Pnj17MjMz/eOgRwSHDh1yu90j3mCXy1VUVJSZmRmQqPLTcfDgQa/XO+INFhJV\n/GVb5RISAEURVBgXByCT/K6ocjrD2dzatavI1d7h6jCQMpksWqfKTIuZM0MSGVyWbSgw9Dh/\nPNz4Y3FjRZPJ0OP0MKxSRifoVBOy9OdOSj17XPIQ7fVAsBxfXNu9t6KzxejosrhpiojTKtL0\nEQvGJpzCbh7H8Z/8sP+xVV+cbA6SlcDzfHltS3ltyzNvb1g4vfCpFZdPyA/kCzyTwfMek4mS\nyynlMLInBgVjt3s6DYzDIY3WSXXRpHSEJ7CnBViOP9HS09nj6uhxKaRUjFqWHa+O1wbXBQ4F\njyAaOxg/sjc0qcNpiv8vDDTPca1fbDj59geWsoqBZwmajpk5NfvOm6KmDC8iotvieuHL0g+2\nVnj77x073ExtW09tW89nu2tiNPK7loxfPi9PMpz4fIebWb2pes32WqM1SDDcvz47mpOouWNx\n/uJJyUMMD+k0Wq7666pdxSEVHf2xeV/Z1gPl9/7xvH/euTRM2OkvCaeH3VfXXdbS02332N1M\nlFIaFymfkq4rTNIMPUImEDxvOnioe8cO0/797o5OnmEAUAq5MjMzes6cmPnzFCmnGBxtrajs\n2PB91/adzl7eOwAESUaOHxdz9lnxF10giRx2IszpiIqWnvd31m0v7zDbA5OY8pMizx2fuHx2\nhlI2JBNE9pElhdskpAYMhvXr1z/zzDNVVVUTJ058/vnn/XVjg2Ljxo1ut3vJkiVDadUvgDPf\nQFvKK4/c+4i1IqRt4hnGsHOvYefe+HPnj/73Y9KokHJq/th2pPn2V7dbHIOkz3VZXI++t+/D\nrZVv37MwNTa46GcANh9pe+iDw10hRAAEVLVaVqze/+amqpdunJaqHySY4Xh186V3vdjYFlKd\ndiA4jn/u3e/Ka1vWPH2LWjV4asnPh06r+62ddT+UtQ+MoHpzZ110hOzaGWlLJiYNVy20p7jk\n5CuvWns5j0SwTpe1rNxaVt7wxuq4Cxen/eVGacwwYl1cLa21L71q2LKNH0DKwXOcubjEXFxS\nv/rt1D9dm7L8KnKkPcK/HRhtnn9/dXxjcQsXIgbhREvPiZae93fU3XVB3rLpg6/VBE1NkhyE\nDzrAfG/YsGHZsmW33HLL/fff/9Zbb82ePfvEiRMpod+7lZWVy5Ytu+yyy347BvrXmB/95S8g\nCNjDBfmOFNq/31J0+XVhrHO/wj9s3XvpcltV7aAl39lUfv3zmwe1ziIqmkwXPvbNoerOQUu+\n/n3lra8XhbfOIo7Wm5Y8vbWoMhyRQnO78YJbVw7LOovYuOvo8gdfZ8MSAAWA6Wxy7PvO+u3b\nPR+/0LP+Vet377uO7uFs5lO4OoCvSlqueG3vN0daQ8W3dtvcL2yqWr56f23nkPlaeb5h9ZtH\nb79joHXuV4rj2r/+pvja63pKS4dYsWn/wYPXXNe5actA6+wPxmqte3nVkVtXeM2n2C2/cVS3\nWa98Yee3h5tDWWcRRpv7sU+OPPpx6aCuCS8HCJzvof8wwMWxcuXKc889d9WqVZdffvnnn3+u\n0+lef/31kJfweq+55hp/esLfAn4TC9ifCZ1bd5Xcfh/rGAYvu6Ohad9VNzpbwnEhbThQ/+h7\n+5hheruMVtf1Kzc1doYUDQLw9ubq/3xxfFg70Sa758ZX9hxvDP6oO1yepfe+3N596pqH3+0+\n+vCLnw2lJGNotnzxes+nLzsPbfM0VDBdrUx7g6fuuH3XV6Y1z9h3fMG7hjf0X9pc/cx3FUOh\nYG8yOm56/9C+uiG8hHi+6smnGt9+Z4ht8JrNx1bc3b1r96Alu7btOHLH3Ywl3P31h7m45PB1\nN555Nrquw7r8ld3NxmHc6/X7G+99/1B4ay6lCAAUQYT5I9AvDtpkMm3btm3ZMh+1r0KhWLx4\n8dq1a0Nd4tFHH/2Zogx+Cs5YA22rPVm64oEwTNCh4Ok2Hr7xLtYZRMUKQFWL+e7Xd55ak0w2\n9/XPb/aEoMLYfaLz6fXHgp4KD6eHvXnV3qDe6pXvfVdyoiH811VySVq81l8PMAAvfPDD4fL6\n8JW4Kw5Z1q/yttYBwcRYOdZ1vKjn05eY7jauF+Er/Ghf47oDjeHL+MPpYR/+/FjNYPPopvfX\ndGz8bujVAuC93srHHrfX1AQ9yzCM3W43VVSUP/p4Pzn5IcDZ1Hz8vr9xwaRgB4HXzZlauc6T\nnKGBt3aFoYoeCEGkaii3wB/Cz/QMxofV4/Dc9tYBq3PYv2jLsfaXvguyP9TXAE4Is/Mxjgb9\nIwj4z20Elef8/D7Cr/z8/Pr6+qC/YseOHa+++uqaNWtGPBLxJ+K37YPmeTAMhtNlHMfV19eb\nTCaryUQ/cjeKDjPf/IAQc1J6wRzJ8qUDj3uBnfuKUlNTMzIyBJn6mpqampoaACYnt2xS5Jcl\nJosr+PjWqeglE7S58fLoCNpgZcpbnf6FK5tNH289Nj6RMplMgqLPrl27EhIS0tIz/v5RSdC5\n8/xR8msmhQwt+KHC9Umpo83kXLXx+NKxSovFIiQ7mEwmWh7x4pofw/YWANx22dSFkzM/216+\n+uvDQQtwHP/A8x9vfvOB3o++Hrbb7VKpNC4uLsHbY9/yyaAXYi3GY0W7zaoYAKJAiVAbgIqK\nioqKvkc0AbhlNPH68eA3bqIe0xNIvQI2D99ix/YWtNt5p4d9aP3RD2+aLqHItra21tZWq9XK\n8/zx48clEonNZrPbbKxKSS6YT27dForUiZ8xnb3owoCDDHCgqQlNTampqVm9SvM8z9fV1bW2\ntnq9XsLt4WfPxKatoarFrBm47OKBh83Ajt27xWo5jmMYZv/+/U6nU1D8k8lk8fHx6enpQlAw\n73FxrZWcqd1PTR2gJN7otAaLV7j7crk8MjIyPT09IH/Ev8EACIKYO3fuUFKfAFRXV7e3t/v/\nfOHGORwOnue3b98OQKlUVnezxmDUNHMzpH8YHTKZZUut9/Ny15tbaiaqjSzTZz2PHTsGQKPR\nTJo0SWhmeEUVQ9PJ2uKirKyt06dP//DDD9vb2wH4k0rrdDqe5y0WS0z/fQWz2fzHP/7x2Wef\nzcnJGUpv/JL49Qy004l//Qvff4/KSqSn4557cEMvjZxej0svxcyZePBBdHYiNRXTp+Ppp5GZ\nOWitpaWlPk1PiiLi9JJLzyOT4j3/W4Nhzm4AeB1OsTYx31IrJxYVaKZlqP7+VWu3PZB2Lkkr\neeziREVvMGaSVpKklfgXHp+iTKBNXX5MZwzDNDU1VTd3NXWdulM+K5qepLO0t/fFNXd2dpbV\ntlgdwdcBAmQSatm8woWTB+/VnYcr9x2tlQI8z/f1MOB0Ouvr603WjlSCJAabx9lU0YJ1FuH1\neo8dO9bTMzwPzJIsYnKsz6zo5IROjtworK3kq8xoNjk/P9wyTmNva+tzUhn89bOjo7kF8/nY\nWOqTT09hSPijvr7e6fR5z3iZFOcuRHwcPvz4FKrl3G4ANptNsHeCG1QYci6Xq76+3m63FxYW\nwmllag+B6T8B5GH3MEerm3qljGG32+12e0dHx4QJE9Tqvn1pwZ72fY/ny8rKCgsL+2w0z/Nu\nG7wucBwompBFQCJjWbapqUkwdiKC3ji73Z4ox0Nnq57eYbe6h50wIqXAMiFn6IJIW3gujsho\nfVxc/G3XL8/Ozkaw5FvhyMB0yltuuaWwsPCWW24Zbpt/Afx6BnrZMjQ04JJLkJ2NjRtx442I\nisJll/nObt2Kt95Cejquuw4nT+LTT7FpEzZvxsSJYarkOE4YNNKGFtvGTdS0idTEsdSU8XRD\nM7Nhc5DyJxuZbwLnmOToPDIjFYC5ucUp96VIEQQhKCcB4Hheo6CWz9C9uDlw0+/Ps2MUEpLl\n8PURc32XOytWtnhMpFiYAP40M1oMN6BpmmVZYdDIeee5ebKN5UHsab2R+XbA8cJ4OkNHA6g2\nMBSJP09XyWlwILIzM+RyeXl5OQC9WrJoSuaPB4LseV46J2/mmJRRydFK+VBXJ19tPbzsrGyW\nZYUejo+Pj46O7ujo6Orq6lHHGaLTY7tCqpwA4AmyJb4A4AmO43vp5GtqasSHnCRJuVwu9HCd\nhW+0IpiuN/J1Putc28MXGxAhwcIUQkri0izyP4c5AEXl9bFpDICoqCiXy+VyuXyPJUniw4+4\ncWP5ggJ+zGiutZXcEcxV1dxMbtse2PhR2XxyMoDIyEgAgvUXrTMAdHUhJgbjxqClFVsCvw4A\nTc3YPEAaOGcUUpMBsBWVKCioqqry511QqVT23o10g8HQWH8yyd4QaJ0BEKh1SgTrnKhR6FKz\nzGZzc3Mzy7Ll5eX+agOidRbm5r5qGxvT0tIAwOvmetrB9nknmpuaumxuq9PNDnjl+N+4gKZG\nyojFubJ1R/uN2AYz+331gEg7PZWmpQDUGBkAsREEAJKiUlNSGIZpbm6Oi4tTKBTCOoBhfdY2\nzJRfrlInJyffdJNPA0FIIzL7efnNZrNMJvOfUwNYt27d5s2bjx8/FWWPXwC/noE2GlFSAiEg\ndOdOzJ2LL77oM9B1dTj/fHz+OQT64HXrcNVVuP9+bA5iZwUIzjUAGrW6+7nXWJuNPXxU/tTf\niDg9PWdacANd18DV9XPRkqlJ9HnzALDb9zjnTBePa7XaMWPHrt+wVR9Buby8Ukrkxwc6bWmK\nyNLLAHx3vOfzYhOA4kaHQkouytcIhZN10ugIX4drNBqSJO12u7fXBTknI7iBrutm6rr7TdVT\no+hzc2UAtla7S1o8WTF0vJoCsOsku2BemtAJFEWzLLPkrPygBjonJXpc9vB4fr/eXnr5nCzh\nwdZoNIJrL1ol29/a6JYqjdqU8Aa6S5fmlkXozC12RaRbFgGAZVlBKFYul7tcLrlcPnXq1AMH\nDjgcjkgpsakx+Hx8dgIBoMvJr6nghZ39Jiui5QBAk2A4jItiACgUijFjxpSUlAgNVigUmubm\n7hMVVFk5e/ddfEw0N3lSUANNNDUTTf3UZvmEBG7ObADkvv2q7GwAFosl8GtlFSjIgz4GUycH\nN9CNTWhs6nckKRFnzwGAPUXOxmb2kov9TZ6wrj969Gh3r3phW0tzoirIK4vlCQtDANBJuEzS\nTCslev0op9PZ3d3tcDiEjvW3sAkJCT09PQ6HQzDTbW1taWlpYBnO3AqunyG2ON1mWxB/hXjj\nBFAUNWXKFOHGCUfSIgOnqPUmtt7Ur/LkSGpBlhTAjnrv0XYGQHwECcDJSTIyMhwOR3Nzc2xs\nrOiLoHvjoOmwYXa0X7RlUlISQRBVVVXiW6q6unpgPvD+/fu7u7v9s1j37dv3wQcffPnll5dc\nckmoa/1i+PU2Cf/+d4jh+nPmQCqF/8qfJPHiixDJ3a+8EosXY8sWVIUMmBNHocLDMDYbALAc\nW10HgIjTE7GDR7MSUonk5mshkXANzcz+Ep9qcu+/jZ22E60OAEopCcDDBi7iWI53eXkAVlff\nWLQ4WLGwy8vtrfVNNAJe4wBi1ZQ+YvDbIaWIv0xXSSiiwcR+XGIHkNz7PByot/X0Rv55WADI\nTIyKjgziv17zw9G7Xvzurhe/e/mz/YNeUUB1Q7so3iw23ttQoXQYAXikSo80pKPcS8s69KNo\n1hvfIXqZeZvNJrxLBCYHYXNGqVQCiJZDFyz2WitDugYAKsyEl4OSRowCjVa+2MAXG3iG6yug\n1+spihKHRGxsLLtzNxgGHIeGBgCIjuaHIqsmkbBXLANNE62t5IaNPcUl6NVgRa84IQDwPE42\nAEBMNKKHVC2uuQI0jZZWfL2hp+SI3dov/EPoYZWqL8Ld6WVdXBDb5Ox9kUVQPACuu8n/i8I0\nXzSdFEWJTmSxgNPp5O2mAOsMIF0fOSEjbkJGXE5WPyeYeOMiIyOlUilFUQRBSBV9TW2zDeLk\nkVLE9RNkEhJNPdznZb5JSXwEBaDNwvA873INnKn0zaBDov/+tE6nmzdv3pdffil8ZBhmw4YN\nl18eKGV36623bvZDfn7+ggULNm/ePFBo8VfBrzeD9tfKJAgE8K2kpqK/iBzOOw8bNqCqCiEc\n+X270jY/Z27vFIDQafnOQVRZ6UvOIxPjwfPetz4ikn1EFkql0mq1ms1mKx/h9PYZ5b21gQED\nPI/iRvucUerzRkfWGtwnu9xZevmiAo1Y2GBljjQ7ZmapABAkyTBMr8kjhPEXrSQNwaS1/XHx\naEViJMUDb++3CxFoor8vSkF2mF3q+AgADMNQNABEaxTdPYHzoLZua1u3FYB0OPSMXsb34Ik7\n3ayxk+5dFHtoudQTPLiqNS6PI6nE1hM027vO9XsIBTPq9XqLioqEHU4A42KwrTmwHr3C9wAS\n4K/PJ7K1BAAPh21N/K5WnvcrIPjKRcNks9ncHT65L8Lh6N1PiIRxEGEEbv48xMYSPE999jlY\n1t3ZCb8NCYXCbxUlunejtOgeTG/hnAWIiwXPY+2nwupd6nLNmjVLIA9Bbw/b++cKuFjIB7zB\nVRQ/VeMGIHBU8DaT/xflcjl6SfIA6HQ68d6Jjg6XyyVjg+x/KKS08PP4/i8G8cbp9fr29nav\n1+v1el0e39hgWGw/OUiwx/k50ng1xQNrSl1iFGW8mgQgI1lxGFRUVOTm5ur1esC3zT9oqnfA\nNvt999130UUXPfHEEwsWLFi1apXJZLr55puFU2+88ca2bdvefffdnJwc/73ByMjIhISEBQsW\nhP8Jvxh+vRl07zQkOOIHLMCTkgCgMWTolfjYcP4GWnwVywdhRCTi9PS5ZwNg9hzgmloJmbS3\nIfEAGIZxd9efW+ij7Khoc64/HETm4/0i4+EGR5SSemRxwlvXpT90QbxGQRXV2sTCMto31js6\nOm02m9Bms1cScDYUYtXUObkyAHvq3M1m33y2weRTYruoUGEwmgV7JybQRqpGjAqS6TXQ4jYL\n77KTnK8ZHBn8ZW9XRfdEJiqdZp3Zz+LyfSseIezJ4XCIdgTAwhRyvD6wNxS9V5iV4LPOAKQk\nzk0jFqQQ/gWamppMpr4b1N3d7RrTSwXeexV+UA626Ghu9iwAKC5BezsAj9EIv7WaP5uPWG3g\nVGMgYqIxdzYAHCxGr8is12jy54SjKKq9vV3wb4ivAS6YpBMBSElIyV4D7XWLX9TpdMJ3RXut\nC7ZoYFkWbFiVtf6Ta/Hni8OgsrLSZfW9k/Y2eRrN4SYZehW5IFMCYF+Tt8XSV3OcigCQoOLF\nYeD1eo8fP97R0QGAJgVFlXB/xABFlfPPP3/dunUbNmxYvHhxR0fH1q1bMzIyhFMHDx5ct26d\nuCj8zeLXm0GHj+/pGCBvKuwjx8cD6Ozs7PArQJJkYWFh30c/Wyxa7UHDiejz54OiwDDMF98D\nEGNa/WcxXpYXRkBatCwvQX6sOTAFZmyyoiDR9zg5vbxCQgAYnaQQC4uzfJVKxXg9ggNaK/H0\nNjJ8G3F+nowiCYbDV8f7Lt1t57bXuOePksWpKY+hdrehn9PZ4hhSUmIA5oxLmz8xXfzoYdin\n1+wmSTIgrJyQyPrCvYI1nieIlvgCAnxyW1m/yDCi746IbuIxY8a0d3Q0Nvh2BS5Iw7Eu+HuS\nSPDCZbwcPq3mq3v4JBVxRQ6hlmBuEpGoQkTvlidBEIWFhTU1NX3z9OnTqG3b4RfGMOiQYM+a\nA4oCz0OtZpdfDcCUlBTyi+L+3qB3cd5cUBRYDho1/rRcOHbSZhvrV6Srq0swsiqVKjo6ujH0\nvKRfE4AKG91tPIFe61lWVlZQUNDVFWTt2I8IniDDBVP3Z/gc+POjoqK6zVbO6wJwVrrU5OR/\nrAk5iV6UJRHG8IbKvpFJElBICJuHt3iIS+dP5Tju0KFDwhy/uro6NjaW8YnGDtK7AwNVL7/8\n8oFuDQCrV69evXr1wONFRUXhLvCL47caB93QgNpa+PvLfvwRAHJzATidTv8xJ4xFcTpDqvuY\n3oheLzbvCmunpBJq2gQAbMlx3mgCAKvPgyFs2SsUCnVc5jvf7F08JhKAQkreuzDugfUtnda+\nXe+0aOnt82JJAlUdrpe3dpodbKyGvmdhXHKUVCxs6XVPayM1jNdjt9tJkhSnDC4mfDIVpqbK\nAJS2eIyOfo/TxyV2jucXjJKLw9fLkRKSA9DVM4xEShEpsZqZY1LFj043A0AioYSZVt8UUq3l\nDL6JKjnAiQnAqE12ySJUDpNHovBIFAA4igbA830r5dTU1Lq6urS0NJVK5R9HrJIQegXf7uc1\nYXjfzzvYgTIjD+Ckhd/Zwi9OJ0kCuVH9nl29Xl9X17dvyVMUnxBP1NZBjA4Om3bBSyT82DEA\nQBB8r4qgk+fhRzDdL9dDrNYddoEvkWD8WAAwGJDXt7I2u5zws32CdY6Njc3LyxPixIFwEWYA\nXBxRYadF9y/LskajkaKo1tZWMTXDYrFIpdKAqAyKoghazrtD5/5J+q0JxJ8v1pOUlGQwWU0G\nX2jjRXmy/U3enmCRdhIKk5IkAI51MCZnXwGOx0Ob7ABm5uivUakE35RWqzWZTF6v1263+8iS\nCGIgHZIIAjh15qzfKn6rmYQch7vu6ls2rl+Pr77CrFnwmykHQBzcZFQkIa49Nb3GuiucW5Ca\nMl4w5ewhH/ECb/EZaGGiERUVlZGo0yr63mc0RUxI7bctNilNJTxC3x7tMTtYAJ0W5rtjPWLh\nRK0kJ873whCfGcHFJqDbHs5AT06RySUEgENNgSaA4bC22PHYj45x48YJfF0yKQ2AYTmz9VQM\n9EBEaVR075JWbLwkJYehfI+r1BvkQl6pEoBdGVWfMlH489JyABzPi3bHP7MrIMsrQtrveTP3\nPvMmv4ffEsweCoMhYK7HSyQA+N4NNMIUTouWHz0aA4VCSBKAKKTSb4Ec0btLFrZajBvj87a1\nD1gj+ll8giDy8vIKCwspihL7REGGHB7dXqrEKrGx5EAL5e84amtrO3bsmHCknyddGbhl3QdK\nQtD9dmxFL7bRaPR6vUI9Ur+2kQQS1MENy8QEiZwmABS3Bs82zE3qI/4VL+T1eoXfNaiL45RF\n4H6z+K3OoJOTUVSE0aMxdy4aGrBlCzQaPP+8cDItLc0XvOkH0SNmcbm0E8eZDpVALqPyRwHg\nDN1ceAM9eTwAMAx71EegwzW1EgzL030mSUYT41KVAOweTiUlAVjd/WYiYvBGrLqvV+MifYPM\n6mYjFfSFY32BKyaTSWiw6EIxOriusNvfk1MkABgOR/sPbq2CWFygBBATrdXpdL6HnGMAHKnp\nODWNiY82HftoU7+886sumC72sMlk4nmeIAhCF2dT6wFIPQ5JiB3CMCBJkuM4ISW3u7s7NjZW\ncBwzHC9EU7X1f2O12WH3QiXBKC2xt813Kq934vxsMWf14IHJpIr2RUEEpCQQ7R2QSnkh3clo\n4k3mME8zP6YQAFiW/udTwlxbotVO2/AN/GIkrGLoBUVhVBYAdBthDG+gRwMAw+KT9Vjj44VI\n/eM1WXffaTQaRWOqVCqFzQ+WZYU+kcukUjL43NzEkBV2mgekJDF+0mRVf/V0/2XEQNA0LZPJ\nCIJARDRvG0BmQlKkNgH9g+0iIiJommYYxmg0AhCiZcxmEwAPywukGd3O4KNuQiINgOFQ1tlv\nqE9IoC8vlAGIT+y7ZTabTbwiO4Q4aIBgfldU+YWQnY3Vq3HffdiwATSNpUvx9NPIzg7zDYIg\nhAfearUqbriKjtVRE8cQuigA7OZdwtpZetufyJxMAJ5V73JVfQOXGpUBgGvtQK8nhGBZfaSm\ns9d6dnd37927V5jQKSUkAJeXm56punqqDsDLWzoqO9zHmp0sB4rElVN0efHy2i5PbpxsbLJS\nKFze6nR7eauLVcspAFarlaIojuPEvaxNlS5hcN06K2KUngbw2h5btaFvjpatlwBo7WHc/T0h\nVjdmZkjlNAG4qqurhRWoYKa/3BmOsG1YuGjuBPQ+jVar9ejRo1FRUQaDwUtJAUQbG4TnpjF5\ngk0ZBSCtuUTlMMV3VMZ3VPrXU5k91y1VCqne1dXVzc3NQlO7urr27dsnzBYF63zChIszyDQN\nAKyt5BqsYHkc7OTPTiJytLg2j6zt4dLU5OhoAKjr4c1uADDxESrYuru7hamiGKsgoWly9ixP\ncjK0kQDIoiKC5wFwV1/JpaUBoNauI+r9guLT0gAQnZ2iJyT2vHOFlZnoTOtLzBs3GhoNAOwu\n8nlp/ng1MtMB4L2PcLK+r9r0dADo6BA9IQRJxl1wHoAqvxBSu92+f/9+hUJht9sFq52ckkrL\nWLalosIhsXgJALkqbyTNA6h10MKAUEdGGrpPMEjdAAAgAElEQVS6DH7ev4SEhMzMzMTERNG1\nqtPprFarGH0vJpGX17eaTSbwfH5KjFYhBUUT8ghCqQVJAf0MNEmS8fHxzc2+LV+WZcUbJ1jn\nTht3Sb4sS0cBePOQs9bYZ4uFg+1WNmAMN/ZwGjlJEvBaOquqSGGNInRvTEyMRCIRtGJJDOLi\nkIbWWzlN8WsY6NWrMdA9bx1AA5adjd4YxiGCJEmNRmM2m51yqWTZRcJBrqyS2bHXV0KpIATx\nFD+5T0IXBZUSgH8cXvwFC/MmTfIcPSpkIvE8L65nCQIsx7+xs2t+njpSQQEQwuPbLd539nT9\neXYMTRGT01WT033zLKGw4PR4e3f3igWxwhjzdwUqI9QHmnzpD0oJESkn0WunBOiUpEpKABgY\nh8dy/PsHHTfNUAG8+NgAkCjUB060YCSQFBe1eO64E2XHSZJUq9Vms9loNBp7Y9Qi4Y02+7Iw\nGJJmaBkAPoR2HKlSo5cuKjMz02aziT3s79/ocvJf1PJ/yCbUEp+cs7DHuLWJ1ytQqCPyopAX\n5buEzYuvTvIAZDS5aGphV3OdwWAI2BnzMgxmzhD+T9TUkgcPCv/n5XII+dBU35DgIyN5IXai\nN2COjohIue46/wqVSmWfgRasc1UN9h3wHVEofNX6C8tqtVD2qxZA7HmLInJGWa3WfqmJvRHK\nvdVrEhMTSYoCLWXKKzw8AYAHAfA2lhDjo7tN5m5TP3q8qKgokZFDyPcz+kUW6nQ6URfN6/V6\nBI6OyHhyQJB+APxvHAKcVCzeLXFdnCfVyIQb59cYBaGUEAAMjsB5breD+6LcvbRQxrJsi5/K\ngUKhyM3NBcD74qDDbhISGA4B1OmB36oP+lQxbty45ORkmUxGAlxtPfPld+7//i/8vg2Z4BNq\nEw00pVLm/nUFRVFCbRC4wCmKJEmWkOyqtj74ecvB+iChozuqrA9/0VJUZ2/r8XpYvsXsCShc\n1ubOzB2j1+tFP6ZUKk1JSZk6edL1C8MRtcRrfEu/zmCB0oeaPOr47OjoaCFxAEB8fPzs6ZMv\nXTAy3ImP37pE0Rt3KPYwRVGRkZEZGRnj58yTpw6BZYYkVXMuISR9jl2hhwUbISyASJIUiH72\nWXX2YF5KlsfaSn5LE9/lAsOh08Ef7OBfOsJ1OQHgrkU58VplYWFhRkaGkPNCEERCQkJiYqLQ\nYInRRG7eQr37LjxhGdd6NwaIXnOWccftEm0/GZS0tDRx/4DmefywGavfCb/xCDFbqjc/UKLV\nZt5xKwISxwcgKyvLtxOuSyRUPutJyJSESutWDlVPIC0tTbhxwpSZJMmxY8eems63+GgIPgfh\nxqlUKkVkzFM7HA3m4J66uAjftbrsQcZwD9Tjxo+Pjo6WyWTC0xEXFzd16lTfipAHhkA32i9S\n6IwA0S/a5jcCvR6jR2PbAO6CsCgtLbVarXPmzBGPlD/xbP3bH5zC9Sf+77/x584XP27btm3U\nqFFikuj9b+35aFtliK8OglV3zLt4ui8SUxCNnT17tvCR5fibVu3ddqw99LdD4tE/jLt+gc//\nI4jG5ubmJiYm1jR2TLv6H1Z7OMqkQTF1TOaOdx+iSFIQjRUb3A887zi4yVW8nQ8RUUuqtRFz\nL5Ok5Q08JYjG5uXl+afb2lzMzWsOnTQMg0Bq2ZSUexb1e08IeR+zZs3qu5bFUnrDX5zNA3Jg\nwiJh6WXZ9/2f+FEQjS0oKPAXja3697Mtn6wfVrUETY9f9ZJ2ch+9jCAa69/gEYEgGltYWPgz\nicb6J919cbDp4bUlw60nIUrxyd1nRat9L29BNHbMmDFiqveeg8Wzp056Z+fxiMiQgkfP3fuX\n9NTUdW+HpOQ/HfGbnEHHxmIoabiDIf/h/0u8dPGwvkLQVMHjD/pb54F46roZswuDCGYPinsv\nmyBa54GgSOLFG6dOzAybvxMMf144SrTOAchOjXv/qZt+iq5ggl776co7Bq+BIJRTz9Fec79i\nwlwq0u8nEKQkMUM15xLtNfcHtc6hECGn/3ft5GlD6w2SIG6bnx1gnYOC1mjGvPpyRF7u0FuS\ndOUVWffeM2ixUX+9N+kPQahrQ7ZEpRqz8t/+1vnMwJIpKfdfUhhGOXAgUqKVq2+aLlrnoOiN\ngw6b6U38vkn4y6CsbESqIShy/H+fUudkVa18ZSjM/ZJIzfgXn9afHWyG6F+MJtf89ZyH3t27\ndvuQlLSErzx13Yyr5w1iFyLkkg/vnfPwByWf72tAb1JG+Gofv3L8VXNCGn0Ai+eOf+6vV973\n7LphKVcJiI6M+PyFFQn6IYk0AiDVWuXMxcqZi3mvh7OZCVpKKtU4pUU0gAg5vfKKcV+WtLyz\n62T3ANVREWOSI++YP2pM8lBlWGWxseNeW1X3yqvtX34VnmJfGhOdcecdseecM5RqCYrKefCv\n6tzc2pde8fYMYFPqD3VBfv4/HlX157g4Y/CnuVkZ+oiH15UYbYNrws3Oi33mmolRqkHSL4W9\nwUHjoMNQKZ2m+E0a6BEEQWTddkPcwrMrnnmhc0tIJRRSIkm99g/Zd9wk1Q3JGElo8tkbZ88q\nSPj3J4ebuwZR8ZiWG/fY8mljM4bkK5RJqOeun3zhlORnPj9e2RKOKPncCUl/XVKYGTe4EO3t\nVy5MS4i57uE3huXrKMxO+vy/KzKS9YMXHQBCIqWiRmA1TRLEZROTzx+TsKvKsLPKUNZiMdo9\nXpZTSKh4rXxKum5urn5C6iA7WkGqlcuz7/u/pD8sa/7gw+5duwfqTqmys/WLFiYuu5xShBSa\nCYqEJRfrF8xrfG9N+8bv3R2BbLQESaoL8lOuuTL2nIWDJxyezphbEPf9Qwvf2lrz0e6TVldw\nd39+UuSK8/PmFsQFPTsAQmB7uG47Izv0TDfQAICInKzJb71sP9nY8ePWrl1FrrYOZ1s7JZfJ\n9DGqjLTY+WfFLpwr1Q37Ob90ZtYFU9LX7ajeeLB+X0V7gEqhWiE5e2zy0tnZCyeEVBEOhbNH\nx88piNtXadh0pHXPic6WbofLywKIVErTYyPmj40/b0LSqETNoPWIuHDu+H0f/v3BFz79Zvvg\n/kGlXHrn1YseuOHCCOWI8Xj8FCgk1DmF8ecU+uhZnB5WIT3FWXm/alNTRz30t2yOs1VWutva\nPV1dpEwmjYlWZmbK/bzhwwWtUWfeeVvmHbdaT1TYKqvdnZ2M3S6NjpbFxUZNnjgsjfDTGhFy\n+q4L8m47N+dgbffeSkNHj7Pd7FLKqBi1PDtePb8wPm0wNXp/cLzPxRE+V3BQmdrTDv9fGGgB\nqozUzJv/lHnzn0awTqmE+uPCvD8uzLM6PNWt5s4ep9nm1kcqEnSqUYlaCX3qzl+KJGblx87K\n981DbS4vTZFyyakbplFp8ev/e+fe0urXP9n2/e6jZmuQvJKMZP2S+ZNWXLMoMXbYr6tfDCNi\nnUUQJKnOz1f7KdeNUL2EuiBfXTDS1Z5ukFDkzBz9zJxTWYf1r0egcyDC5AoG8EGfGThzDDTP\n8zzPdwxkWRoJWCyWQWtOUiNJLQeEvFivsdsQvrzH4+E4blgNHoo2lJD3YbFYgkZQZSVonr3r\nkqfvuKimob3LbOvusbndXk2EIjJCmRKvS47XAQDvCdoqt9vNsuyI97AQD26xWMifsJkZFB6P\n5+dosJDlMVylriHWPNwhMcRqAZjN5hEP2WIY5ufoYf/0dN+FOA6D0Y0SAHfGbRL+JsPsTgkH\nDhwI4M/9Hb/jd5y+yM/Pj++lHd598PCcqZM/3V+pDh1m9887/5ySkrz2rTMqzO7MmUFLpVK3\n2z1lypQRr7moqCg9PT3hJ/glg6KsrMzhcIx4gzmO279/f0ZGRvxATu2fhuPHj7tcrsn+Sgv9\n4fGy+4/VlFY2dhmtHUaLTCLR69QJMdqZE7LzM0IGJjIMc/DgwaysrBGP0hWyvcM0+NTg9XoP\nHTqUnZ3tT3Q1Ijh69KjX6500aWTSi0S43e7i4uKcnJzo8CTsw8eRI0cYhhnxBrtcrpKSEtov\nCZOCSJYUxsWBYYX3nRY4cwy0ALk8mFbST4ZEIhnxmkmSJAhixKsVdaR+jgYjRA9X1bf/681v\nvt1earEPzIjjASItMeaPF8+6e/m5alXg14Uc+tOoh4V++IV7+KfjNOphbkBIKAseg6l6Ixgf\n9OmOM81AD4rGbkezyWG0eSiSiNXI0mNU0REjEKvgqKuzVVZ6urpYu12i00mjozUTJkh/crqN\n22AwFe13tbd5DF2kTCrR6VSZmVFTp1LK4YV//Xyw2J0PvfDp21/sZEJGmhMAGlq7/vn6V//7\nZNvjty25cenc4V6F83jNhw9bT5zwGo2M1SaJipLHx0VOmhgRoIv2/wGauh17qw3tZpfB6pJJ\nKL1alhWnnpWjV/7kvdPKNktVu7Wjx+X0stEqaaxGPjlTp1UOJhDzi6A3Dhph2JB+j4M+jWGy\nez4sqt9S3tFk7E/NRRCFSZHnj01YMilZMvwtYM7lav3ss44NG1wDs4dJUl1QkPiHP8ScffYp\nBL1279zV+O57lrJyDNgkIKXS6Dmz02+6UZkRLkXlF0Bdc+eSu146Udc6xPKdRsttT75XdKRm\n1SPXCYzVg8JtMDS8+XbnDz+yjiBhJ/LExOSrrki8bAnRyx18poLj+e+PtL2zo7aqfQCtGCCj\nybPyYm9blJMZGzHwbHg43MyaPfXflrS0mgNXPyRJjE+NunZW+ll5I+x9Gjb6lJHCRXGcKRtq\nffj5DfScOaivR1PT4CV/HnA8v2ZP/Vu76hzuIDQRHM8fazYfazZ/UFR/33n5Z+UOw6to3L27\nduVKTzA9IQDgOOvx45XHj7fk5+c88ogiNTV4sQFwGwwVjz5mLg4ZsMx5PIYtW7u2bU+8fGnW\nXXeesm1izQbOauY9LkIRQWljSOXgOS/+KKtpWXjjM909g+TpDMSab/bUtxg2vnbfoDa66YMP\n6994kwui8eyDq7W1ZuV/m9d9kv/PxzWjR4cq9mvB6WUtLsbFsCopHaWQnLKHtLHb8cDakvLQ\niUtuhtt0vH1recdVM9LuvSB/6Bf6/mjbcxtPmEIkanIcX1xvLK43TkzXPbF0TIL2V1u3CYZ3\nUBfHmYfTIWxw0yZkZAyXelSAw8Pe/3Hpy5urglpnf7SanPeuLX5zR+0QX8LNa9ZUPPxwSOvs\nB9uJE0dvvtncy28ZHtbyE8XX/TmMdRbBc1zLJ58euWOFd5jxXrzb6dj/g2nNv80fPmv5erX1\n+zWWL14zvftkz2evuCsPD5ywB0WX2XbZPS+dgnUWsKu46tZ/vhuukV5vxeNP1L30ShjrLMLV\n0nLklts7vvv+1Boz4mA4fn+jafX++me2Vb9WdPKdg42v7Kl7Zlv1x0daThqHLWtwqK57+ao9\nYayzCJbjP9hTf8vbByzOsFx9AACex8ubqh7+9Ego6+yP4nrjH18vOtIYVovg54RPNJYM9xd0\nk3D9+vVTp07VarXz588vLS0NVf8rr7wyffp0tVqdl5f33HPP/XbEZE8HA+1woL4eww+hYzn+\n/o9LtlcEZtyGwevbalbvqB20WOvHHze88QY/ZHYLxmY78eCDthOD0Oe7WlqO3XXPUIy+iJ6S\n0rK/Psh7B38gBXjqy00fPOM8tIWz9JeY4Xmmo9G2+eOeT18OPBUM1z+8+mTzIIHe4fHBt3tX\nf7Y91NnqZ1d2bPxu6LVxHk/lE08a9+wdvOjPjEaz85U9dd9VdLT09Hu1eFjuRIf1vUONa0ua\nnd5wHCD+qG633vneoR7HUO8vgAO13f/3YfGg22X/21bz7s5wYisBMNo9d75/uLbzFF/JPxEC\nkwzhS/YO/geA7T+92LBhw7JlyyZPnvzmm2/KZLLZs2c3BVvKP/nkk3feeeesWbPWrVu3ZMmS\nv/3tb0888cQv87sGxa/qg7bboRpGumcocBxXX19vtVoZhtm3b19cXJygE/HSpqp9tQNUfHox\nJZ6cmUjFKgmbh2+y8VsauTYbB+CN7TU58eoZGZEnT57s6ekRYuYNBkNsbKxATdtTXFz/2mug\nKPbss7msLMTFwWIhjx6ltm8PNf3kpk3zLF58sL3dp03uh23btqWmpmZlZXEe7/H/u3+402EA\nPaWltS++5M+HKYJhGLfbLZFIhJa7yvbZd3wZTr8ZYAzNpk9f1lzyF0oXDz/1EH/8uPf4D3uP\nDTzuD5VcEqNVWe1uY2hRxH+89uWV509XyAIHYdsXX7Z9+VX4+geCZ9nyR/4++YP35ElJwpCw\n2+0cx+3bt0+v18fFxUmlUlHwdCCEr5hMJrvdLpVKxVEkFnC73XV1dRaLRRgSRqMxNjY2wCVa\n1mH9/FhraOPIk0C1wfrWfvd1U9LUA364kJQgxDCQJGl3MyveP+TwDNWaizhQ2/3f7yruW+zL\nYxTmg8K/ws9saO3M5J0PzpAWt7Ob6tlQq6ZZydSSnH6NbCw72NhLZZba67UbtOsGYihfaW5u\nrq2tdbvdcrncaLZiCGRJAWdXrlx57rnnrlq1CsDixYtzc3Nff/31p556yr+Mx+N59tlnV6xY\nsXLlSqGY1+t97rnnHnvssVMjyx5ZjLSBrqrCQw9h/37wPGbOxH/+0+/s9dfj++/R1IR77sG7\n7+K553DzzQDQ2IhHHsGhQzh5Eno9pk7Fo49i3DgAWLQImzcDwPLlWL4cXV3oH8vp9XqPHTsm\npnU5nU7hyVTo09bub0AILMuhpib4el+nIHQKIl9HrilnKowcgLe3lZOdpL/iidlsPnDgwOTJ\nk2VSad0LL3BSKXPNNbzoVo6OZufN42Nj6c8+Q1iCtKAwm82HDx+29Vi4pUuIklJiy9ZQhp6f\nOYO/5KKBx5uApl5D7yvJ83V1da2trV6vl6bp5OTkJMpr3zmIdRbQGDPKfKwSqBSEqcTjVquV\n47ht27ZJgB+ev1Y4eKLBcPeLQXwLt102deHkzM+2l6/++nCoC3UaLS+s+eFvNy4WGyw8sRzP\nYeGCU+gHDiiqqkqy2202m/+QaGxsbGxs9O+fAIQaRYWFhYLV6OnpOXr0qP/Kt7293WAwpKSk\niJalucf5RTjrjAKqR086AbBeYl0pdf2UNDHqQHyj8Dy/Y8cOgiDmzp377s66VlOQ19ucVHpp\nXsiNh20NzFeV3o/21l8+NTVdrwIg6PN2d3fr9XrxZ0pIxCiIczLoOBXxUXnoGJzBwPN8aWlp\nmK4biEF7WxB7FNXg7Ha7oaMdABGWESnglMlk2rZt21tvvSV8VCgUixcvXrt2bYCBbm5utlgs\nF154oXhkxowZK1eubGxszPi1N+Exwi6OoiJMmYLPP0d2NubPx759mDEjyPbgHXfg449x0UUY\nMwYAystRWIhPPkFBAf7yF4wbh6++wvz5aG0FgL/+FStWAMBNN+HddxERuEldU1Mj3GlBTERg\n+DYYDD8eOB4q77MwhhSsc7WJW1fBflPLelleSmFp72RhXgLHsixJkunp6WPGjAFAEITX662u\nru7avNlx8iR73nmCdSaPHKE/+YQ4cQIAV1jIhqBaJ1paqB07qB076N27U2Ji0tPT09PTxTh8\ni8VisVg4AoiJ5hct4K6+8pQpOkU0NTU1NDQIOb4Mw9TX1x8/dnQo7mWbKtqsCZKSw7LswOjU\noJBJqOXnjF04eUhcmu99vVuYNjY2NjY0NFgsFpZl+aion9IPxo4Onw2SSCiKEqRVAFgsIVlA\nq6qrha/ExcUXFhaKo6ixsREAx3EVFRUMw5Ak6R/zy7JsfX19WVkZz/Mcj6/L2sPwEUcRHsE6\nC2jpcRU1+FxJXq+3tLS0oaFBTOvleb706LGP9p48hZ/vaxvHr9pcJbTQYPA5o8SH5XA7t+a4\n97iBBTAulpqbEryfmyz85no24K/Z5mtkZGQkAIZhhDrj44N0XR8YD9x2eJzgGLEZQb/CcZwg\ndEtRVGZmpq8AIfigiTB/IAjeT1FFECPO92NZyc/Pr6+vD1COT0pKqqmp8Z+I7NmzR6FQjHhi\n2qlhRGfQd98Nmw2ff45LLwUAqxUXXIDdu9GrRQIABgP27sWJE30T4ddfh82GDRtwwQW+I6tW\n4fbbsWULrr0W55wDpxMvvYSzzsI11wRckGXZzs5OABqNhqIoq9U6evToAwcOOBwOPRVyZX1W\nMgXA4ODfOc54OQBotHIxij4JtRQ1ASA5OVl8hUZGRprN5p6eHurHHyGRcILV/n/sfXd8HMXd\n/jO713tV75ZkFdtyt3HFDZuYHtNLICE4QEhIgCSElPflTQiBAAkECIYkgGkJJZDEdNxt3Lts\ny7KsZvU7Xe+7O78/9m51kk4n2QgM/vF89Mfdamdubm7m2e98a2ur7K23QClz+HDsjjuo1SpM\nmsRuTJHUlJw8ySb88NSlpblXX+33+0W5RoSZEPdLr9CJNaiuwoTxtL2drNuQsh+sHVRopqyM\n5ucB0CmVAMSSbskllNRqdSgU8misPdaiDEc6tSMlTFtWFUCJIFCGTRZgpTD6Vmd0056+gjIO\nT5/V65K5FbPG55flWTWqkTqWtHQ4a+v7BpyVleV6YXUkL/ezzEM4FgMhKpUqFovxPC9VDpSq\nRCeDE6g7EBYpTK3V2fKL1XK22mbfuXNHMBjs6OgoLCz0+XxiJxqNRupELpeLzz+RWXxKc7d/\nYAYJCQwwhvVQQABhEySypdE5o8CsYBmJsJLh7nXOzCYfp6LoFo/w4YmBVqwKK1NgZACccAkA\n5hXIypW9W7ZskQ6ClFJxs/SEmdeORCjFwR7hnhmMXUOm57Brm1Oc/Fq8Qou331M5V8+cW8AC\nyMvLs9lsJ06cEB/bBoNBpEK73S5uQHHqAICL0aALXFyNzgtCd3dXmiY+ny8cDgOw2WxiD3a7\n/dDROgAsIbKhVRxBn7fhqG/VqlUlJSWLFy/u7OwE4vXdRVgsFkqp1+u1JeUUVCqVyeeql19+\n+YknnvjRj370OYULnSpGj6B378aOHbj88jg7A9Dr8eijmD693208j1/8op+aYsUKzJiBZcv6\nroi02Du8qcrv94vrw2w2i/IRIcRgMASDQauaWNVkcPl3s4qUGAmAw700JkAjh1ZOmj20ySN5\nWiIqQM0glLQF4hXhCPHs2UOzs8VKoExjY5zCBIG0tFCrlVqt1GIhaUfeu3lz9pVX1iYVJTAY\nDOr33vccOEgO1dK77qQ2G506NSUxoaWVtPQ/keRkC/PmAiBbtzEcj7y8wVvdbrd3NzWEGXmv\nKT89QTsshRGlzuJuC6iNEaUuWR8iMhTDMH9bs2frvvqUzcvzrTWlpxxfvnH3kfF5KgAGg6FQ\nreleu45hmNOfh4O1dHw1AJZlw/09QDiOC4VC6qQUzwKl7mDU7/eL9l6dwQggFOMFCnEViZVb\npYeT+EKv1/t8Pr1eLxVg7ejoaFKl20q5jF9LuE5BYyBRDYkvrDAnHHcExto0Im8CkMvlHMdR\nSsVi5DNyZR83pnAnaPYIzZ6BvLmgSAZgUyt/sJsHUGAgY8z91HQcx4mb5VBXLL5sKZo8gl3D\n2obYLAMgZ8k1VayMgSfGzh8zBkkhfxIPShtQnDq1UkF9juSF5A9FxKPtUE2k2ZaOPoQQjVYH\nDJMtydnT3dXR9vu2llmzZi1evFg8jiSrWcQrQ2mWe3p67rrrrtWrV994440PPPBA+qn4wjB6\nBF1XB6AfzwKYNg2D8xVM7l/mRzxcRCI4dgxNTThyBAm10bCQdqA8yRdYMgSZlHAOEqMzNPEf\njAFumSArMzMAojw+bubWtwoUoBS1DmFqFuPo6vBk2fR6PQCxgLFFqXTGYlR6Jic5lpCEmEaN\nxvQEHWxsbGpqCgaD4iYEYDabPScaAUAQaFMzbDbYrLBakms/p4ZcLlx9JWQy0tZO1qwJZNjt\ngN1uF+VBi8WSYBCq9naHTblRhSaq0CiiqT29YjJll71Mxseyuo42FM0AkOymIsmhJ7t7c+2G\ncCTm9A6c3NUfHPj3ljoApbmWO1bMGGbwCfiDQTEFoNlsDjZ+1nnA0SMYXw1AlJKi0WhxcfGx\nY/HaN+FwOJmgQ1FeoDQWjUu+rEwOABQRjpfJFVITaXWJv5fRaPT5fMkn5VAo1BnyDqUgVYAv\nZP0cmBO8fqKsn9W6qTeYqxJEmmNZVqlUJqu57Rpi0xDHoBrYA789S64fL5czOOkT3qmLj+r9\nE9ymVv6KGYULyg3i15fI1Bvt61ByD0m5WQbgvCI2U8tQ4N8NuOQ8RpoQDLEBw+GwisYGmD3C\n0fgXlMvYlE2krmJJvklcNAaAAWGG1kIXjimdM//cvz/zlPhWrBjpTqrG4Ha7lUqlOVXN8nff\nffemm27SarVvv/32xRdfnGYSvmCMHkF3dABAzqCcOHl56Onvj5XZv4ZCMIgf/hAvv4xQCDIZ\nSkpQXo5jI6omJQkIyU9F6bUy1ZNSnfjGc/P6nsUKFt8okSlY/oMmHsDbxzm1TFZti+3Zs0f6\noIyMjAyv1wlAWovJyiwpQeLQfgIiYgqFqGtjWVZKQxFNlHkmwfh2pEYTGY6Y6OKFyMgglJLX\n3wDHR7t7kLRnJCaisZiMjw81KlMNRdDtmRUCw+a0H5FuToZE0L+/ZYHFoAbQ4wo89fbOrQf7\nJNkOp6/D6QOgkJ2C7jga6XvKSi6Gpz0PkuVWpVKxLEsI0SZ5CvH9TbgxXgAgJC7GXVZEBkhI\nXjzP6/V66WmKxAIbqDDhokDqnAFjWC8Leow3xAaJf95ITJLyLRaLJHBIH2dSDk/Qy0pkWTqG\nAq8cinEJMnQEqQO01SdIX18af7JXSDjxWikj6Uti29RkXj4LYFcHf6Q7NqDPlBuQ53lw/IDS\nbVLpNTbp45KbSLPd3d2dnZ2tVqu7urp8Xi8AJm3CfoJ+qZRyc3MJIceOHZsxIy4r1NfX5yWr\nWxN49913L7roopUrVz7yyCNfEs2GhNEzEubnAwmaToZrkHP7AM+tyy7DX/+KO+/EgQMIh1FX\nh1/8YoSfmd6VJ6VEI3myxwS8WMv9YswK7z0AACAASURBVHP06f2cL0oBnJvPauQAMNbClJqZ\nAR/R09NzXNw/iRWW+tOHi+rm58yhlDIMIxkJWZYVIglOlIheOVwOBJuVzp0DgO7eg45OAEI0\niiQO6vOQowIjxMUWgUn9SA5orR5jjibktrhTV7wWD56CIIjsDMBu1v76pnMXTvnMlu7EPmVZ\nVpCEptOeB+EUvGj6tFppoVKpcnNzpbfNzSm8g9gh2M3ERDOYsJfKOwXN4P9yPBU9FgBYUmVu\nGeSJNxB2DTm3UAZgRxvX7htoxY3EUth1k7+txLDDBuh9c6yMZSBQGBS4poo9dGiEhUPpgJ6T\nVQ4pG6hUKlH4jUajO3fu3LhxY11dHZExSHhxDPUHINlGa7FYFixY8HYiwI3juDVr1qxYsWLA\nx3Ec993vfveaa6558sknv2zsjNGUoMvLAeCDD3DTTX0XGxvR0pJCrJbg8eCTT3DZZUhW+gxt\nbR8A6WSULBlJr6N8ihUgiRjbOoSDDgHACbewrgUXlcpkDHK0JMjhukoZIYBCU5Blk4zRlNIA\noDCbSUKzQZOFZWVCehqUaxyig8eECQBACC0rA2Cz2ZJFMIXNGhXVEdKQh2MNYf48sCwECoNe\nuOE6AJ68XKR6bBC5IqnbFF1RQtqyqghoXkdtym1DKeU4Tuz5p3/5pK6p+5xx+XddPYtlyMqL\np27c1zxCL625NYULJxdJb6Mc/7vVmw26Pp2DQjJOnOo8cDz56GMAxB8Qm/Kp/B0H6B9lDInx\nfcfzZDcVmjiYi03GjBkTCARcSdKG0WhMVvezDMGgDyRAKeOhIPW8KSUb6VWspIBORhJvDvP1\nFxbJWAacgPcbUmirM4x9jCM9sJNJXyWL9x9J+1yTMygxMQAYgrFWFkBvrzO5z5QbkGVZsOLZ\nog+KhFzCJ1H3gKNwQUFBZ1LEgEajMer1SEQSDgVCMCCbzt13333hhRfef//9ixYteuqpp1wu\n10rRrxdYtWrVunXrnn/++S1btrS3t2dnZ7/wwgvJba+88sovA1+PHkFPnIiZM/H667jmGlx0\nEQCEw7jjDqT3zeJ5cBySq3b29uI3vwEwsGE0xblb2lrJCkHpdW8qo7orTAe8AOBJtFawKDHF\nz0mWjByZbODghYoKknAcpElnZ5owaDCDKpACoDYb7V9UyW63S0oDnudV2dn+Y/VAMtGnC8Cl\ncjlqJgAAQ+KPRiBMKZIeWn10Qxho4wUMmVQCZq8pL6zUaYOuqFwdlasBCKxMbOhwOLRarVqt\nnj179p49e4LBIE+ZYCT2ye4TUyqyF00pMelU+RnGxo4RBQHnZxhmje/LSRKKcADUSpU0DzrJ\nt+kU54EcOULcHqDPMBBNtWDU/YvAquRsKMbHVc8AF4s3YRnCJ2R5sQnDMPn5+SJBZ2dndyRO\nipIuwqhWDg6yy2ICWsJ5qEJFOBXhALCEAiCAjQn7BZlNCEjVQ7xe7+AI40gqIUOCnMGkLBbA\noR4+eT1LyEnKniGRqTbJxUaXeJ2yuYSaDDZ9JrGUG1CtVhMZQyP9VGqS6jnK8SmbICFkVFVV\nKRQKhmEMBsM7a95FIpJw6FEMTJZ0/vnnv/baaw8//PCjjz46derUtWvXSn5ZO3fufO211557\n7rn6+noADw2I2ACWLVv2ZSDoUfWDfvRR6HS49FKcdx5uvhnjxmHDBsyZk66JxYKlS/HJJ5g1\nC/fdh5UrMXZsXMn7/PNYswYARO576in85jfon9JMp9OJigKXyyXuE57nxV3UG6KuVFbpdj/1\nxwCg3Nz3S1dZ4/PQEUAgFm9lVtLCwsIFCxYg6fip1OtJZydCIQC0tDQu3ykUQkkJALhcNBVB\nD4bVapVE3Wg0aj5nZuIrxUmfDFYNJWP8uD4KS4CwLABJc5K823lD3K9IEUthCYopNAACGnNT\n/mTxLyZTARCAgwcPOp397FrTx8cdnLt641Ro1n+mdVxSGM+UFo1G9dVVcqMROPV5OJCIbGzv\nIByHpDAH6UElWuGSW8tZRq+Uq9UaUXALeD2UUoYQnYIVm6tUKqVSGYlE6uvrJZlOZDrxACSJ\nCIV24+DRqYkAwEii1axL/FOCB8CAVrMuGxOxKPsWYUdHRygUEpexJEH3pjXcTcxiRRF4X1eK\n5y4hOKesz5+MZVlxbYzLkItLT8lCVOU5Q7Q3rQvHhAwGACfgvg2Ru9dGGkiB6DgsnUgGb0Bx\n6iBTEI0x+eCmUyvFyoFDNYlEIqISyefzmc1mo9HI87zfH0CiqvdQf0h1+luxYsX27dvdbvfH\nH388ceJE6fqzzz5LKdVqtStXrqSpkJk5wnLjny9G1Q/6nHOwcyfuuw87duDgQcyahV/8AqtW\nIcnhNwVeeQX33Yf//hd//jNqavDII7jhBtx+O15+GW+/jeXLMXcurr8e776Lxx7D7bdD06fL\nYxgmKyvr5MmTPp9PLpcLgrBv3z5RJDnqlVHEAFxfJSs2EgCrD3ONHspTbO/gFxWwFRbmpnHy\n4y6+yMhMsDMAGtyCK0zrnODHgCVobGz0er0GgwGJ3c6yrL2oqJ3j2AMH+BkzaHY2d/315MQJ\nobISRiMAdts28SHOXXmlUFgIQPaPfzDNzWKUCoDYvfdStVqn07Esm7y48+bMOc78gcpldEwJ\nAPT2UpcrjahAJ4wHAI5n7v8/UcbUlZVNeflFALpELI+k3KSU+lgV+JgiGpQPYSFMj56envr6\n+lgsRgi58NxJz725gRAyqTzuUdfQNrxDpIhXPjr4ykf9YsR1GuU5kyp379wBcZJLSiyzZ3V9\n8smpzgOpS7hmc5xVrnBQwefzyWQySqkoIgEwGAziQ7G2tlY07ldXV5tMJoVMbcvI7OpoDwUD\nbQ11Voul2dEjrqK8vDxCiEKh6OzslB54DocDiVO5SDEqlaqm0L651R/mTkEDnm1QKdOWFQ7E\naG8o3QF0YiYLgBNwpCfF51bnmTKNKre7z/AobpYMNf1ujbzeJYyzMSYVAbDlZFxQv2GcvNhE\nALx4MNbo6aO7YhMDoCsgiJqQBZV95MWyLM/zPp/vwIEDZrO5p6ff1AGobWh2u92gtKok32TQ\nszJFVnaOuGdTNlEoFOIMt7W1UUqVSmVnZ6donGAwjJEwTSD4VxSjHepdXo7XX+935emn8fTT\n8dd//zv+/veBTSyWfveIePJJPPlk/LVKhRdfHOoDS0pK/H6/2+0WnXJEb2iLxTLdbv/X0YMA\n1DLoFWIQStxO/XEzn6Eh421MlZVUWeMz4I/izXoegCNM32kQvlnGCoLQ09MjuqyJrqmVlZXm\nSZO6X30VH31Es7KEwkKhtBSlpWIPTEMDu2uX+JqqVGLQI0lSelKjkarVSDpoS4v7aEe7duV3\nvQyByQSAbP1UJHp63TW0qBAAeelVkvScI0WFFEB3t6QBKPj2jfFhJE6ykgqlq6srGo0BsPY2\ni+u3JW+SX2MGUHhyrzboyuqqy+rqiz0BUFc6L6LQSqHe4XA4Go2KZFSUobhuac2EMZmVhXYA\n22pPegJDBmgMiwvmT9Ko4lKtuGN1l14sFBed9jxoS8dUzp518NAht9stUqo0D9KjKxaLiWfq\nuGMsQ8aWlUZCQbfb7XG7PO646G2xWHJycgAQQsaOHSu5rktKCYVCIfaTl5enUcgWltqajtcZ\nEQFwmDd7qOIErz/B90viOk3WoyEcD7KL5q4cX2RWy0tKSurr60+ePAlAJpPxPC+Jz40BNUUY\nwI01ClEF/Pz+6Al3H2UXm1gk8eYA3HzuwLh2abOUW5hyS3yd1LvotvZ4e9WgzQLApIz7Pol+\neOdWZo7J7Avolclker3e7Xb39vZKjuHS1CXPNtQGojMnDyNlE0JIcXFxfX29IAgnpTTrMhbD\nhXoDON149S8vvgrZ7NKCZdmampq8vDyRmIxGY3Fx8YQJExZX50zIT11fkhOw+jD3YRPvCFFO\nQFeAbusQ/rAr1pPwZxpbnD9t2rTMzEyNJn74NRgMM2bMsNvtMr0+77rrEI3KXnyR3bYNHg+J\nxZjWVnbtWtnq1UifVS5Rc08iaIZhTCYTgN7eXm9RIQoKAJD642R7PDcpVamg10OvJ0mOa9QU\nJ3oklA+GcePsCxckf5Qm6Zwhbg+LxZJtiu8rjpFxMiUnU1KSegEw6n4h9SqVSoq26uzouH7p\nhJrSTABtPd7H/vFpuq+cFizD3HvzBckD7u3tbentRUE+TmseAJR8/3aZXC4uCUJIsptdGp8f\naRUplUqWZaVVJJ1yMjIyJk+ebLFYkrNHSRMrMsv0ArNZSRREUBBh2H21oibHrI6rR0pKSsRl\nIEapiBctFss3ZlWLRSTUMhiUxKAkyQK3WUVEp6OUfniTiywLqgYe0qWvGaNsTECzl37QyD+7\nL5o+HVOGNv6pzhCVs8z3lwysYpN+6gZj2NkWNYp6vV7M36DX63OysgCQtKHehHz16WwQzoaK\nKgzDlJWVBQIBn883OSkK5sHLa254dtuqAynkO0rxUTP/Uarw1qnFlu8tKJOxpKqqSryybt26\nzMxMiVVzr7rKu39/79at7Lvvsu++m3JI8v4WYRElS5fmLFgw4GJNTU1DQ0NPTw/HcUqeD330\nMVm7Pr1lldjt4o4UI2LkJlPlb+8f4O2Ql5fncrlE8V+pVObk5BQWFpJx4/wb/xU5vCNd56xM\nu+CbxM0NUPfn5+eLSlK5XM7z/LEWx+b9Ta+vOxw9lUP9AHz7snmVJTminJufnx8IBMR50Go0\nkfUbY2+8eUrzACD/umsts85BYkl4vd5wOFxeXr53b7/82sm6SAlik7Kha2gZjcaamhpBEI4d\nO9bR0cEwjF6vt1gshYWFEvXbtUrXCJRIMoYptfZZmEXCamhoEA/14mAmTJhACPn5xdX/+1bq\nxIESbzoGqY+tOuXvrkrxHaWvWVxSetsLO3c3DtRNrdqXQsI41ivcvTYCChD86tJxxfaB+XDS\nT93pzTaAoqIiKSZ71959QJ+ueSicdRqOs4Kgh0KGQfXHaybf+coeh2+kZ/DxeabfXz5Rlqbw\nGQCGKf/Vr2rvvtt36NDIB5Nz+eU5V16ZqrN+K7W1rf3Ex2v7/vvc31L0VX+c+enPxZcyna76\nod+pBiV2IYSMG1xhhGV1C1YoiqrKtr3HtwwuIEAUJVWameez5oyUUYAymYxl2VmzZgGQ7T9+\n5+PvDcXOBxq6lv54dcp/SSgvyvrtD/qcUgkhyfMQzs3dv2lzOOEsMew8ALAvXFD8/dsG32Uy\nmRYMei6eNhiGKSkp6ejoqKioGGxHEsmoxR1qqu9xuQYytZwhJKd8eolNO6h+oLgMxPS2s5NS\nbl02Lf9kb/Dp9SlylNc5+Ts/TGFD1Kvkj10/OSvhYGcymc4555xPP/00ebQyljx81aRbn99Z\n1zFSl1YQfHdB6cWTUwR6fAEQzxXDZrP7uuTVVwwV2YYXvzvzJ//cd+jkEHmWk+KcLpqU+7Pl\nVYq0dhsRrFY77vHHGx5+uPu94ZPKE7m85Ac/yJJSlKRF/nXXqrKz6+7/DR8aLvAWUBcUjPvD\nQ5qiwpH0LEFRXKUoruJ62mItxwS/i0bCRKNjzRmKokpGm8IVISXOqSl94t7rb/nfQRaFkcFi\n1L7z+J0mfYrYDRGq7OzJz/+t9qf3eoaugpGMwm/fVHTLzem8ZL9AFJjUN00r8IRjDc6AJ8SF\nOV6nlNm1yjFWzWnUvfzB0rF5Fs0D79TGRuBsXmzX/emGKYW24dOsGzXyv94843/+dfDjQwNz\nlA+GUs7+8uLq82uGDmj4nCH+sCwIOzRFE5CzryDWWU7QADIMqr99Z8aHhzpXrW9ocQ4qy0JA\ngCnFltsXlY3PS62zTglGLi/7+c8zli1revpp/9GjqW8ixLZwYeEtt6jShOoMgn3RQsO46sa/\nrOp67/1+Z/ykZ4lMp8v/1vV5V13JDHK2GyFk9lyZPXf4+4bGjZfMBfD9B1ZHY6dWH6gwx/bW\nH+8Ykz9MHVK52VTzlye7/rum6ZlnI1K2ADpQiDJOmlhyx/cN46pPaQxfAIwq+eTcU1hRaXDZ\ntPwpxZbHP6hLQ6Y6lew788dcO7tIKR9pnL1awf7+yolbJvU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3cwUFs4YBpXV1ZQAAIABJREFUUO/opxZscvFrjoQH9F+VKS+2sNLN35qq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\nn3M+xfFxl0tMaqWuCoVhY45E7onCptcWBaMVQMzen6Ii6Y2uuUuN7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"text/plain": [ "Plot with title “”" ] }, "metadata": { "image/png": { "height": 180, "width": 240 } }, "output_type": "display_data" } ], "source": [ "# install.packages(\"corrplot\")\n", "data(mtcars)\n", "library(corrplot)\n", "M <- cor(mtcars)\n", "corrplot(M, addCoef.col = \"grey\")" ] }, { "cell_type": "markdown", "id": "43abc0b5", "metadata": { "lines_to_next_cell": 0, "slideshow": { "slide_type": "slide" } }, "source": [ "### Time series" ] }, { "cell_type": "code", "execution_count": 7, "id": "481e5ca4", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Registered S3 method overwritten by 'quantmod':\n", " method from\n", " as.zoo.data.frame zoo \n", "\n", "Loading required package: fma\n", "\n", "Loading required package: expsmooth\n", "\n", "Loading required package: lmtest\n", "\n", "Loading required package: zoo\n", "\n", "\n", "Attaching package: ‘zoo’\n", "\n", "\n", "The following objects are masked from ‘package:base’:\n", "\n", " as.Date, as.Date.numeric\n", "\n", "\n", "Loading required package: tseries\n", "\n" ] }, { "data": { "image/png": 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G3IyJ25Vi920chKzw82Ys22ujF3zyrC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\nNrQlOG0EzACW6K5RySR4WQ5OG/Dsew94g/aw8g26sttVMz+8Bg9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scEiCFQ5JsMIhCVY4JMEKhyRY4ZAEKxySYIVDEqxwSIIVDkmwwiEJ\nVjgkwQrH/wFF7P1GlaMz5AAAAABJRU5ErkJggg==", "text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 180, "width": 240 } }, "output_type": "display_data" } ], "source": [ "library(forecast)\n", "library(fpp)\n", "plot(ausbeer)" ] }, { "cell_type": "markdown", "id": "b170320a", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Creating a ggplot" ] }, { "cell_type": "code", "execution_count": 8, "id": "b355a388", "metadata": { "lines_to_next_cell": 2, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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LxVuj021ey+sFZaX/ikZu4/GC2rriQSAL8GWkkOR7pLAHP3B9jwYIBxOQY4AU7K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\nYIBxmRowSQwwLgaYKAYYFwNMFAOsKYcBZoAZYAaYAVaLASaKAcb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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 180, "width": 240 } }, "output_type": "display_data" } ], "source": [ "library(ggplot2)\n", "ggplot(data = mpg) + \n", " geom_point(mapping = aes(x = displ, y = hwy))" ] }, { "cell_type": "markdown", "id": "4e2bb55b", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "- With ggplot2, you begin a plot with the function ggplot(). ggplot() creates a coordinate system that you can add layers to.\n", "\n", "- geom_point() adds a layer of points to your plot, which creates a scatterplot. You can specify the color, size and shape of these points. Each geom function in ggplot2 takes a mapping argument. " ] }, { "cell_type": "markdown", "id": "959d2d32", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Your turn (1) 💓\n", "\n", "1. Run ggplot(data = mpg). What do you see?\n", "\n", "2. How many rows are in mpg? How many columns?\n", "\n", "3. What does the drv variable describe? Read the help for ?mpg to find out.\n", "\n", "4. Make a scatterplot of hwy vs cyl.\n", "\n", "5. What happens if you make a scatterplot of class vs drv? Why is the plot not useful?\n", "\n", "6. What happens for the outliers?" ] }, { "cell_type": "code", "execution_count": 9, "id": "59782a48", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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HG4R1n6+6U31lpN5QDAWtQVdzYXXXKMKTugNuXCH/9n884AgAN0Ulf2KikEADOr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wbg9FTXUGgLRK2HzbocfrTE11BgCk5xVf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", "text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 180, "width": 240 } }, "output_type": "display_data" } ], "source": [ "ggplot(data = mpg) + \n", " geom_point(mapping = aes(x = displ, y = hwy, color = class))" ] }, { "cell_type": "markdown", "id": "60c3bf7d", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Change the color, size and shape of points" ] }, { "cell_type": "code", "execution_count": 10, "id": "f3fe2ffb", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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iuv5Obmnj59+tVXXwWAZ599dtq0aQlTLx6ECSPEWVMjfoQ7t/f89NZKk+F9+n4k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\njNwj1u1UAIDqhrHnIPB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FJCHQVQl3+r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\ntQNt7W1cJkJIeGKC3ZDYcTa//7gs6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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 180, "width": 240 } }, "output_type": "display_data" }, { "data": { "image/png": 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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 180, "width": 240 } }, "output_type": "display_data" } ], "source": [ "ggplot(data = mpg) + \n", " geom_point(mapping = aes(x = displ, y = hwy), color = 2, size = 3)\n", "\n", "ggplot(data = mpg) + \n", " geom_point(mapping = aes(x = displ, y = hwy), shape = 18)" ] }, { "cell_type": "markdown", "id": "2c3d832d", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Your turn (2) 💓\n", "\n", "1. What’s gone wrong with this code? Why are the points not blue?\n", "\n", "2. Which variables in mpg are categorical? Which variables are continuous? \n", "\n", "3. Map a continuous variable to color. How does it behave differently for categorical vs. continuous variables?\n", "\n", "4. What happens if you use something other than a variable name as the color, like aes(colour = displ < 5)?" ] }, { "cell_type": "code", "execution_count": 11, "id": "61ffdc7d", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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FBAQnXUdbWtxoVlZNVzNGkYGZla72hfRiM7V+/ROyX2IAgSj0QFuqam5plnnpk1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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 180, "width": 240 } }, "output_type": "display_data" } ], "source": [ "ggplot(data = mpg) + \n", " geom_point(mapping = aes(x = displ, y = hwy, color = \"blue\"))" ] }, { "cell_type": "markdown", "id": "ac5a99b5", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "\n", "\n", "### Facets\n", "\n", "- Another way, particularly useful for categorical variables, is to split your plot into facets, subplots that each display one subset of the data.\n", "- To facet your plot by a single variable, use facet_wrap(). The first argument should be a formula, which you create with ~ followed by a variable name. " ] }, { "cell_type": "code", "execution_count": 12, "id": "2e733056", "metadata": { "lines_to_next_cell": 2, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 180, "width": 240 } }, "output_type": "display_data" } ], "source": [ "ggplot(data = mpg) + \n", " geom_point(mapping = aes(x = displ, y = hwy)) + \n", " facet_wrap(~ class, nrow = 2)" ] }, { "cell_type": "markdown", "id": "3a50b166", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "\n", "\n", "### Pairwise plots" ] }, { "cell_type": "code", "execution_count": 13, "id": "df236f94", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Registered S3 method overwritten by 'GGally':\n", " method from \n", " +.gg ggplot2\n", "\n", "\n", "Attaching package: ‘GGally’\n", "\n", "\n", "The following object is masked from ‘package:fma’:\n", "\n", " pigs\n", "\n", "\n" ] }, { "data": { "image/png": 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2VCgb2DobjONgD9Fe9gLceFrmE/Qj+gI37372rQC7CmM0RJE5PFW6e8itZ0XKgW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\nglvhj/+tyx25jivnCteyhisAiybky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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 180, "width": 240 } }, "output_type": "display_data" } ], "source": [ "library(GGally)\n", "ggpairs(subset(mtcars, select = c(1, 3, 4, 5, 6)))" ] }, { "cell_type": "markdown", "id": "17b4564d", "metadata": { "lines_to_next_cell": 0, "slideshow": { "slide_type": "slide" } }, "source": [ "### Bar chart\n", "\n", "The following chart displays the total number of cars in the mpg dataset, grouped by drv." ] }, { "cell_type": "code", "execution_count": 14, "id": "851f7f5e", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 180, "width": 240 } }, "output_type": "display_data" } ], "source": [ "ggplot(data = mpg) +\n", " geom_bar(mapping = aes(x = drv))" ] }, { "cell_type": "markdown", "id": "b0fa7c4e", "metadata": { "lines_to_next_cell": 0, "slideshow": { "slide_type": "slide" } }, "source": [ "- You can change the colors." ] }, { "cell_type": "code", "execution_count": 15, "id": "c4168ac1", "metadata": { "scrolled": true, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 180, "width": 240 } }, "output_type": "display_data" } ], "source": [ "ggplot(data = mpg) + \n", " geom_bar(mapping = aes(x = drv, fill = drv))" ] }, { "cell_type": "markdown", "id": "0d17ad69", "metadata": { "lines_to_next_cell": 0, "slideshow": { "slide_type": "slide" } }, "source": [ "### Histogram" ] }, { "cell_type": "code", "execution_count": 16, "id": "08b5668f", "metadata": { "lines_to_next_cell": 2, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\u001b[1m\u001b[22mstat_bin() using bins = 30. Pick better value with binwidth.\n" ] }, { "data": { "image/png": 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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 180, "width": 240 } }, "output_type": "display_data" } ], "source": [ "ggplot(data = mpg) + \n", " geom_histogram(mapping = aes(x = hwy))" ] }, { "cell_type": "markdown", "id": "f532d5ca", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Boxplots" ] }, { "cell_type": "code", "execution_count": 17, "id": "e0e7a645", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 180, "width": 240 } }, "output_type": "display_data" } ], "source": [ "ggplot(data = mpg, mapping = aes(x = class, y = hwy)) + \n", " geom_boxplot()\n", "ggplot(data = mpg, mapping = aes(x = class, y = hwy)) + \n", " geom_boxplot() +\n", " coord_flip()" ] }, { "cell_type": "markdown", "id": "52f3da35", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Time series" ] }, { "cell_type": "code", "execution_count": 18, "id": "aeb247c2", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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wnI3w3Fx8Kwf6EZIqe3ui5rsDbOjMQy1QKHPpYdVpi5ypNcCbttjOO/ivLsWYz7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\nIAtgV/SvALy42g4tPjOc3asou0qqb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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 180, "width": 240 } }, "output_type": "display_data" } ], "source": [ "library(forecast)\n", "library(fpp)\n", "library(ggplot2)\n", "autoplot(ausbeer)" ] }, { "cell_type": "markdown", "id": "d7d952b8", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Interactive graphs with plotly" ] }, { "cell_type": "markdown", "id": "6c9729dc", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Scatter Plot\n", "\n", "R\n", "library(plotly)\n", "\n", "set.seed(123)\n", "\n", "x <- rnorm(1000)\n", "y <- rchisq(1000, df = 1, ncp = 0)\n", "group <- sample(LETTERS[1:5], size = 1000, replace = T)\n", "size <- sample(1:5, size = 1000, replace = T)\n", "\n", "ds <- data.frame(x, y, group, size)\n", "\n", "p <- plot_ly(ds, x = x, y = y, mode = \"markers\", split = group, size = size) %>%\n", " layout(title = \"Scatter Plot\")\n", "embed_notebook(p)\n", "" ] }, { "cell_type": "markdown", "id": "ff9b02a4", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "R\n", "library(plotly)\n", "plot_ly(mpg, type=\"scatter\", mode = 'markers', x = ~displ, y = ~hwy, color = ~drv,\n", " size = ~cyl, text = ~paste(\"manufacturer: \", manufacturer))\n", "" ] }, { "cell_type": "markdown", "id": "2c27d67a", "metadata": { "lines_to_next_cell": 0, "slideshow": { "slide_type": "slide" } }, "source": [ "### Basic Histogram" ] }, { "cell_type": "markdown", "id": "0b03570b", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "R\n", "plot_ly(mpg, x = ~hwy, type = \"histogram\")\n", "" ] }, { "cell_type": "markdown", "id": "2df7938c", "metadata": { "lines_to_next_cell": 0, "slideshow": { "slide_type": "slide" } }, "source": [ "### Boxplots" ] }, { "cell_type": "markdown", "id": "320553f5", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "R\n", "plot_ly(mpg, y = ~hwy, color = ~as.factor(cyl), type = \"box\")\n", "" ] }, { "cell_type": "markdown", "id": "be340b33", "metadata": { "lines_to_next_cell": 0, "slideshow": { "slide_type": "slide" } }, "source": [ "### World maps" ] }, { "cell_type": "markdown", "id": "f2623d22", "metadata": { "fig.height": 8, "fig.width": 12, "slideshow": { "slide_type": "slide" } }, "source": [ "R\n", "df <- read.csv('data/2014_world_gdp_with_codes.csv')\n", "\n", "# light grey boundaries\n", "l <- list(color = toRGB(\"grey\"), width = 0.5)\n", "\n", "# specify map projection/options\n", "g <- list(\n", " showframe = FALSE,\n", " showcoastlines = FALSE,\n", " projection = list(type = 'Mercator')\n", ")\n", "\n", "plot_geo(df) %>%\n", " add_trace(\n", " z = ~GDP..BILLIONS., color = ~GDP..BILLIONS., colors = 'Blues',\n", " text = ~COUNTRY, locations = ~CODE, marker = list(line = l)\n", " ) %>%\n", " colorbar(title = 'GDP Billions US$', tickprefix = '$') %>%\n", " layout(\n", " title = '2014 Global GDP',\n", " geo = g\n", " )\n", "" ] }, { "cell_type": "markdown", "id": "a6b2c81a", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Shiny App\n", "\n", "Shiny apps have two components:\n", "\n", "1. **A user-interface script.** The user-interface (ui) script controls the layout and appearance of your app. It is defined in a source script named ui.R. \n", "2. **A server script.** The server.R script contains the instructions that your computer needs to build your app. \n", "\n", "Put the two .R files in one folder and you can run the app in **Rstudio**." ] }, { "cell_type": "markdown", "id": "6f122ebd", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Number of telephones in different regions\n", "\n", "ui.R" ] }, { "cell_type": "markdown", "id": "88e9eaba", "metadata": { "eval": false, "slideshow": { "slide_type": "slide" } }, "source": [ "R\n", "# Rely on the 'WorldPhones' dataset in the datasets\n", "# package (which generally comes preloaded).\n", "library(datasets)\n", "\n", "# Use a fluid Bootstrap layout\n", "fluidPage( \n", " \n", " # Give the page a title\n", " titlePanel(\"Telephones by region\"),\n", " \n", " # Generate a row with a sidebar\n", " sidebarLayout( \n", " \n", " # Define the sidebar with one input\n", " sidebarPanel(\n", " selectInput(\"region\", \"Region:\", \n", " choices=colnames(WorldPhones)),\n", " hr(),\n", " helpText(\"Data from AT&T (1961) The World's Telephones.\")\n", " ),\n", " \n", " # Create a spot for the barplot\n", " mainPanel(\n", " plotOutput(\"phonePlot\") \n", " )\n", " \n", " )\n", ")\n", "" ] }, { "cell_type": "markdown", "id": "3c7cb241", "metadata": { "lines_to_next_cell": 0, "slideshow": { "slide_type": "slide" } }, "source": [ "### Number of telephones in different regions\n", "\n", "server.R" ] }, { "cell_type": "markdown", "id": "1c982c64", "metadata": { "eval": false, "slideshow": { "slide_type": "fragment" } }, "source": [ "R\n", "# Rely on the 'WorldPhones' dataset in the datasets\n", "# package (which generally comes preloaded).\n", "library(datasets)\n", "\n", "# Define a server for the Shiny app\n", "function(input, output) {\n", " \n", " # Fill in the spot we created for a plot\n", " output$phonePlot <- renderPlot({\n", " \n", " # Render a barplot\n", " barplot(WorldPhones[,input$region]*1000, \n", " main=input$region,\n", " ylab=\"Number of Telephones\",\n", " xlab=\"Year\")\n", " })\n", "}\n", "" ] }, { "cell_type": "markdown", "id": "a9f1e090", "metadata": { "lines_to_next_cell": 0, "slideshow": { "slide_type": "subslide" } }, "source": [ "### Density of a normal distribution\n", "ui.R" ] }, { "cell_type": "markdown", "id": "5ccac9ae", "metadata": { "eval": false, "slideshow": { "slide_type": "fragment" } }, "source": [ "R\n", "library(shiny)\n", "\n", "# Define UI \n", "fluidPage(\n", " \n", " # Application title\n", " titlePanel(\"Please choose a mean and sd\"),\n", " \n", " # Sidebar with controls \n", " sidebarLayout(\n", " sidebarPanel(\n", " numericInput(\"mean\", \n", " label = h3(\"Mean\"), \n", " value = 1),\n", " \n", " selectInput(\"sd\", label = h3(\"Standard Deviation\"), \n", " choices = list(\"1\" = 1, \"2\" = 2,\n", " \"3\" = 3), selected = 1)\n", " \n", " ),\n", " \n", "\n", " mainPanel(\n", " h2(\"This is the density plot of normal distribution.\"),\n", " h3(\"Note how it changes with mean and sd.\"),\n", " plotOutput(\"normPlot\")\n", " )\n", " )\n", ")\n", "" ] }, { "cell_type": "markdown", "id": "c8eff13f", "metadata": { "lines_to_next_cell": 0, "slideshow": { "slide_type": "slide" } }, "source": [ "### Density of a normal distribution\n", "server.R" ] }, { "cell_type": "markdown", "id": "fc6ed5f9", "metadata": { "eval": false, "slideshow": { "slide_type": "fragment" } }, "source": [ "R\n", "library(shiny)\n", "# Define server logic required to plot density of normal distribution\n", "function(input, output) {\n", " output$normPlot <- renderPlot({\n", " plot(density(rnorm(1000, mean = as.numeric(input$mean), \n", " sd = as.numeric(input$sd))), main = 'normal density',\n", " xlim = c(-10, 10))\n", " })\n", "}\n", "" ] }, { "cell_type": "markdown", "id": "c27e982d", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# References\n", "\n", "1. Robert I. Kabacoff (2015). R in action (2ed). Manning.\n", "2. [R for data science](http://r4ds.had.co.nz/index.html)\n", "3. [The **plotly** site](https://plot.ly/r/)\n", "4. [The **shiny** site](https://shiny.rstudio.com/)" ] } ], "metadata": { "celltoolbar": "Slideshow", "jupytext": { "cell_metadata_filter": "tags,fig.height,eval,name,fig.width,-all", "notebook_metadata_filter": "-all" }, "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": "4.3.2" } }, "nbformat": 4, "nbformat_minor": 5 }