{ "cells": [ { "cell_type": "markdown", "id": "c57b2ce5", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# R Visualization with Builtin Functions\n", "\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": "db1bbabc", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "![a-picture-is-worth-a-thousand-word](figures/a-picture-is-worth-a-thousand-word.jpg)" ] }, { "cell_type": "markdown", "id": "6ae1c96b", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## R graphical facilities\n", "\n", "- Graphical facilities are an important and extremely versatile component of the R environment.\n", "- It is possible to use the facilities to display a wide variety of statistical graphs and also to build\n", "entirely new types of graph" ] }, { "cell_type": "markdown", "id": "c69c76f5", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Plotting commands\n", "\n", "- High-level plotting functions create a new plot on the graphics device, possibly with axes, labels, titles and so on.\n", "- Low-level plotting functions add more information to an existing plot, such as extra points, lines and labels.\n", "- Interactive graphics functions allow you interactively add information to, or extract information from, an existing plot, using a pointing device such as a mouse." ] }, { "cell_type": "markdown", "id": "cc5ee7d3", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### High-level plotting commands\n", "\n", "- Including `plot()`, `hist()`...\n", "\n", "- High-level plotting functions are designed to generate a complete plot of the data passed as arguments to the function. Where appropriate, axes, labels and titles are automatically generated (unless you request otherwise.) \n", "\n", "- High-level plotting commands always start a new plot, erasing the current plot if necessary." ] }, { "cell_type": "markdown", "id": "3a70e352", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Low-level plotting commands\n", "\n", "- Sometimes the high-level plotting functions do not produce exactly the kind of plot you desire.\n", "\n", "- In this case, low-level plotting commands can be used to add extra information (such as points, lines or text) to the current plot.\n", "\n", "- Some of the more useful low-level plotting functions are: `points()`, `lines()`" ] }, { "cell_type": "markdown", "id": "adf41ef1", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Graphics parameters\n", "\n", "- When creating graphics, particularly for presentation or publication purposes, R's defaults do not always produce exactly that which is required. You can, however, customize almost every aspect of the display using graphics parameters.\n", "\n", "- The `par()` function is used to access and modify the list of graphics parameters for the current graphics device." ] }, { "cell_type": "code", "execution_count": 1, "id": "1e07f137", "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "options(repr.plot.res = 300)" ] }, { "cell_type": "code", "execution_count": 2, "id": "2971e95c", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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QoxwTtW4WzYEP3U0CEUBsI9e1KxY0g3AiEQEe0arftAmM8zhtC7FXDpUrsLdHRU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4OLF9u/e/DR0frp8Dk0hRAwEAa/4aiBsNjroGVz/0Co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o4kVNKspIGDZ2dxfrDmF1NerqotYdEZJV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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 450, "width": 600 } }, "output_type": "display_data" } ], "source": [ "# Simple high level plot function\n", "n <- 100\n", "a = rnorm(100)\n", "plot(a, xlab = \"Day\", ylab = \"Return\",\n", " type = \"l\", col = \"red\")" ] }, { "cell_type": "code", "execution_count": 3, "id": "1fa713b1", "metadata": { "scrolled": true, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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UkjRujPf27Sk5iVezffrIaGpp9UNlavjv7C8RcEcaUTCLdsiWg/RrORMhDW1dlL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\n7tmjIUP08ce64w6PVmaiAmHXrtq6VcGg3n03rUV3cTchdMppudU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7HMk5igmEznbK/DDlwdLSiOxntGxpf9+6MlcmnRGjYQV8WVAkctIy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V68YGnEbtAhpiJFUKGC6Y/AwGgUrIlT1dZ+U6cOSpSQ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NuJ9MRUP43F8NhLL27ClRHpJ78ulTinZI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\nvfMJqaZP0KNMlN4n0EMI1ckJ7oUQ7t+zFBUVp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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 450, "width": 600 } }, "output_type": "display_data" } ], "source": [ "# Add points to existing plot\n", "n <- 100\n", "a = rnorm(n)\n", "plot(a, xlab = \"Day\", ylab = \"Return\", type = \"l\", col = \"red\")\n", "b = rnorm(n, sd = 0.3)\n", "points(b, col = \"blue\", type = \"l\", lty = \"dotted\", lwd = 2)" ] }, { "cell_type": "code", "execution_count": 4, "id": "9a1a973e", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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ZycnJz169evX7++Q4cO3333XYFrojhRuXLlrCzp5+cnd6roAqH13RNCyO1qoNVq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H2cPiYn1ata2B3w2kYhlGjR7cgCuPPmcO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A2HUkm//EIbNtCuXa7uCpiBCiGAQ7QbJ7+b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\nAAAAYCNJSUlXr15t1KhRTk7Oj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"text/plain": [ "Plot with title “My best plot美图秀秀”" ] }, "metadata": { "image/png": { "height": 450, "width": 600 } }, "output_type": "display_data" } ], "source": [ "par(mfrow = c(1, 2)) # Using graphical parameter to arrange plots\n", "\n", "x <- seq(-5, 5, 1)\n", "plot(x = x, col = \"purple\", ylab = c(-1, 1), xlab = \"hello world!\",\n", " main = \"My best plot美图秀秀\", type = \"p\", lwd = 1)\n", "points(x, type = \"l\")\n", "\n", "a = rnorm(100)\n", "plot(a, xlab = \"Day\", ylab = \"Return\", type = \"l\", col = \"red\")\n", "b = rnorm(100, sd = 0.3)\n", "points(b, col = \"blue\", type = \"l\", lty = \"dotted\", lwd = 2)" ] }, { "cell_type": "code", "execution_count": 5, "id": "7276e3f7", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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G5/3PP3C+sTLHuMe7HDnvx8w6LxnjPM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\nAmCM/w8G5c32aC4FUgAAAABJRU5ErkJggg==", "text/plain": [ "Plot with title “change las”" ] }, "metadata": { "image/png": { "height": 450, "width": 600 } }, "output_type": "display_data" } ], "source": [ "# the style of axis labels via las=0,1,2,3 \n", "par(las=2)\n", "plot(0,main='change las')" ] }, { "cell_type": "code", "execution_count": 6, "id": "b00cb574", "metadata": { "scrolled": true, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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4esslJYDczKCstPg3f8evqZKazGZaVQx7PKTGE1Lisr7L9up4PX089OYeUalZVO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\nAVCDwgKgBoUFQI3/H9EyqJfZs5dBAAAAAElFTkSuQmCC", "text/plain": [ "Plot with title “par(bty=\"]\")”" ] }, "metadata": { "image/png": { "height": 450, "width": 600 } }, "output_type": "display_data" } ], "source": [ "par(mfrow=c(2,4))\n", "par(bty=\"o\")\n", "plot(0,main=\"par(bty=\\\"o\\\")\")\n", "par(bty=\"l\")\n", "plot(0,main=\"par(bty=\\\"l\\\")\")\n", "par(bty=\"7\")\n", "plot(0,main=\"par(bty=\\\"7\\\")\")\n", "par(bty=\"n\")\n", "plot(0,main=\"par(bty=\\\"n\\\")\")\n", "par(bty=\"c\")\n", "plot(0,main=\"par(bty=\\\"c\\\")\")\n", "par(bty=\"u\")\n", "plot(0,main=\"par(bty=\\\"u\\\")\")\n", "par(bty=\"]\") \n", "plot(0,main=\"par(bty=\\\"]\\\")\")\n" ] }, { "cell_type": "code", "execution_count": 7, "id": "db0f2892", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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PVcvI4dOxq8N5ggZ86cRYsWNTj0/Pnz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XQyYTGqOErPc5j+97XEHNmhlY+s8/0aIFunRhuRsf2yMAACAASURBVEIi0hMTQiIi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\nu771oFldvHhx+PDh586d05Y8/PDDPXv21LEkBVkGQk9Pz3quVa0ngdDusPf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"text/plain": [ "Plot with title “Density plot”" ] }, "metadata": { "image/png": { "height": 450, "width": 600 } }, "output_type": "display_data" } ], "source": [ "x = seq(-5, 5, 0.1)\n", "fn = dnorm(x)\n", "ft = dt(x, df = 4)\n", "plot(x, fn, xlab = \"X\", ylab = \"Density\", main = \"Density plot\", col = \"Blue\", type = \"l\", lwd = 3)\n", "points(x, ft, col = \"Red\", type = \"l\", lwd = 3)" ] }, { "cell_type": "code", "execution_count": 8, "id": "2a3f9e33", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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3wWd/LPYcOGNW7cWOmumjVr1qlTR9WB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"text/plain": [ "Plot with title “Histogram of x”" ] }, "metadata": { "image/png": { "height": 450, "width": 600 } }, "output_type": "display_data" } ], "source": [ "x <- rt(100, df=4) # give 100 random t with df 12\n", "hist( x, col = \"light blue\") # make a histgram" ] }, { "cell_type": "code", "execution_count": null, "id": "66acd550", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [], "source": [ " " ] }, { "cell_type": "code", "execution_count": 9, "id": "edc687f5", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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3v37t39+/eXLVtW5Wpv3rwp6skkPDw8OTlZ5SL1w5nGxMS8efNGN0X9H+P8eABQ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\n7rKIEKo0adIkrkOQCUUuCInIyck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"text/plain": [ "Plot with title “GDP with interest rate”" ] }, "metadata": { "image/png": { "height": 450, "width": 600 } }, "output_type": "display_data" } ], "source": [ "set.seed(1) # set the seed\n", "par(mar=c(5,5,5,5)) # set the margin\n", "x1<-sort(rnorm(100,mean=20,sd=5)) # asumption this Interest rate\n", "x2<-x1^3 # this is GDP\n", "plot(x2,axes=FALSE,type=\"l\",col=\"blue\",xlab=\"\",ylab=\"\") # plot GDP\n", "axis(1) # add the axis on bottom\n", "axis(2,col=\"blue\") # add the asis on left\n", "par(new=TRUE) # add new plot on the current graph\n", "plot(x1,,axes=FALSE,type=\"l\",col=\"red\",xlab=\"\",ylab=\"\") # plot Interest rate\n", "axis(4,col=\"red\") # add the axis on right\n", "mtext(c(\"Time\",\"GDP(mil. $)\",\"Interest rate(%)\"),side=c(1,2,4),line=3) # give the three axises labels\n", "title(\"GDP with interest rate\") # give the main title" ] }, { "cell_type": "code", "execution_count": 10, "id": "0b7aa68b", "metadata": { "scrolled": false, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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rKaXU+U//kp7Gj4hzNhfXMuNdQEdWL/JcYOYaov9GwrEJZopGy5/65ISK136c3g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"text/plain": [ "Plot with title “Histogram of rnorm(100)”" ] }, "metadata": { "image/png": { "height": 450, "width": 600 } }, "output_type": "display_data" } ], "source": [ "hist(rnorm(100),xlim=c(-5,5), ylim=c(0,0.7),freq=FALSE)\n", "x<-seq(-5,5,.01)\n", "curve(dnorm(x),add=TRUE)\n", "text(x=0, y=0.6, expression(paste(frac(1,sqrt(2*pi)*sigma),\n", " exp(-frac(1,2*sigma^2)*((x-mu)^2)))))\n", "# check all symbols in R with `demo(plotmath)`" ] }, { "cell_type": "code", "execution_count": 11, "id": "f1e5ef63", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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k0qVqy4cOHCmJiYtLQ0g8GQmpp6+vTpTz75pEyZMqozbYyknThxwuL2gG5uVtf9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\nACBQAiEAAECgBEIAAIBA/X/SW29any5CrQAAAABJRU5ErkJggg==", "text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 450, "width": 600 } }, "output_type": "display_data" } ], "source": [ "x<-seq(0,1,.01)\n", "par(lwd=2)\n", "plot(x,dbeta(x,5,1),type=\"l\", ylim=c(0,3), col=\"green\", lty=1,xlab=\"\",ylab=\"\")\n", "lines(x,dbeta(x,.5,.5), col=\"red\",lty=2)\n", "lines(x,dbeta(x,1,3),col=\"blue\",lty=3)\n", "lines(x,dbeta(x,2,2), col=\"pink\",lty=4)\n", "lines(x,dbeta(x,2,5), col=\"black\",lty=5)\n", "lines(x,dbeta(x,1,1),col=\"orange\",lty=6)\n", "\n", "legend(\"top\",\n", "c(\"(5,1)\",\"(.5,.5)\",\"(1,3)\",\"(2,2)\",\"(2,5)\",\"(1,1)\"),\n", "lty=c(1,2,3,4,5,6),\n", "col=c(\"green\",\"red\",\"blue\",\"pink\",\"black\",\"orange\"),\n", "ncol=1)" ] }, { "cell_type": "code", "execution_count": 12, "id": "c4c3dc0e", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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9wy5Kr1or+cRWwVdo4fxgJs1/B5g+WTtHtkf2l2kcd+rmSZ3CMmKe+W2MY5s0Bj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KvBmWcX8HQyedFv6IHz/MlKb4sJs2d7i5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\n+Ix5+kW/wzLiJWYLwp5lz48fNXT4mMffMZ6hFIVhrl4YAEB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pnF0h7HfE/gQFaF0CN5hRDvh999vON33UpuayLADagQAs61J97il/3TA83fOeIn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\nAXJawk+5EydOTHHDd955Jy8vL9iwY8eOH330Ue1ia9as6d+/f3gXY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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 450, "width": 600 } }, "output_type": "display_data" } ], "source": [ "z <- ts(matrix(rt(200 * 8, df = 3), 200, 8), start = c(1961, 1), frequency = 12)\n", "# we can plot some of them for a period (1961.1-1969.12) in multiple frames\n", "z1 <- window(z[,1:3], end = c(1969,12))\n", "plot(z1, type = \"b\")\n", "# or we can plot them in a single frame\n", "plot(z, plot.type=\"single\", lty=1:3, col=4:2)" ] }, { "cell_type": "code", "execution_count": 13, "id": "a6a14854", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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LPAF8VF2/tr587sL75Il4/b7Qn19ckl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M6siRIy4m00jPaMEGQoBAh4AQYECTuKOs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\n2Zo4ceKKFStSqdRdd901a9asPK+GQrNhw4a+ffvWb9fW1voOGMfqpptumjd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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 450, "width": 600 } }, "output_type": "display_data" } ], "source": [ "set.seed(125) # Polygon\n", "x<-1:200\n", "y<-cumsum(rnorm(200)) # simulate an AR(1) model\n", "int1<-y-1.96 # calculate the 95% level confident interval\n", "int2<-y+1.96\n", "plot(y, type=\"l\", xlab=\"t\",ylab=expression(y[t])) # plot the data\n", "polygon(c(x, rev(x)), c(int1, rev(int2)),col=\"grey\",border=NA) # show the band\n", "lines(y,type=\"l\",col=\"blue\",lwd=2) # plot the line again\n" ] }, { "cell_type": "code", "execution_count": 14, "id": "a25c2413", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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8uvWbZs2cGDB0v8ElrQuHHjpk2bSqcZGRniMNH79+9LGzwKgmBvb6+Ijqq7d+9e\nQkKCotG4+3MCUAWBEACKKiUlpXv37vKhg7a2ttu3by/9vKwy5x//+MckmaInmZEjR9aqVUve\nYrE9hNIyLaK9e/cWfe94QRB++umnVBlFEvPx8THcgK40gVB4/jTC3NzcO3fuiMcl/l3dsWPH\n6tWrpdNKlSqtWbNGp9MNHz68a9euUrterx86dOjztiGBSJH0xLVGN23alJeXJzX27NnTuPtq\nll54eLhho7jfCYAyjUAIAEWSm5vbp0+fy5cvyxtXrFjRoUMHtUpS0ZYtW2bL7N27t+j3NmzY\nUH5qOOHNQnTq1El++vTpU8NNAp4nKioqJiZG3tKoUSP5qU6n8/f3V9wVGRlZmrVMpUB4/Phx\n+cDO+/fvix+yTqcr2QC/uLi44cOHy1tmzZpVt25d8XjlypXy+ZZ379612KmhFkIRCMW1Ri1/\nvGi+X1gEBASYvxIAxkUgBIAiCQkJ+fXXX+UtU6ZMUUwm1A7F/LpiDft88OCB/FTRYWg5fH19\nO3fuLG/5xz/+UcRFU5YvXy4/rVatWsuWLRXXGHatZGVllWamYrt27ezs7ARBSElJuXjxotQu\njfP09PQs2R7iQ4cOffz4sXT6yiuvjBw5Ujr18vL67rvv5NevWbOmWN8RaI2vr29gYKB0mpGR\n8dVXX8l3YalRo8Zrr72mRmkFMRw1ne/3GgDKHAIhABRu4cKFS5culbf07Nnz66+/Vqse1UnT\n1USHDh1SbMn4PL///vvVq1flLY0bNzZmZUY1ZswY+em9e/eKsrPIoUOHFi5cKG/p3bu3tbW1\n4rKOHTsa3vvbb78Vv8y/VaxYUequkU8jLOWeE0uWLPn555+lU0dHR3GwqPyakSNHKjpUhw8f\n/uTJkxK8nDm5urrK193t0qWL2V5a0UmomIo5YMAAw18YdWVmZhrOTW3RooXhyGcAZQ6BEAAK\nsW/fvvHjx8tbAgICwsLCLGrDaDPr3r27/FSv1w8ZMkQxSNLQ6dOne/XqJW/x9vZWZEuL0qNH\nD3lPjiAIa9asCQkJKWBg57Vr1wYPHqzX66UWa2vrjz/+2PDKV155xXBl2tIEQkEQpAHM8mmE\npVliNCoqatKkSfKWOXPmeHl5KS7T6XSrVq2qVKmS1BIbG6uI05Dr06ePPFTLZw8KFjle9OjR\no+np6YpGC+zGBFACLJIOAAV5/Pjxu+++K5+RpdPpevfu/X//938leNqLL75YvzTESVAAACAA\nSURBVH5941Wnmvbt2/v5+clnVEZHRwcGBo4ZM2b48OGGgSEyMnLx4sUbNmxQrMsyfvx4RV+T\nRbGyslq/fn1gYKB8XdlFixYdOXJkxowZr732mq2trdSelpY2c+bM7777TjErctiwYU2aNDF8\nuLOzc9u2bRWbuZ88efLp06cl3tjtpZdemjVrliAIR48e1ev14mcrBcLiLjGanZ3dv39/eQzo\n0qXLhx9+mO/FPj4+33zzjbwHddOmTb1793777beL+y60wMvLq23btn/88YfhjwIDA/P9hVGX\nYsC8iEAIlBPG3eYYAMqZQnu9imX58uVqvyGjKWCSmLe39+uvv96/f//g4OC2bdt6enrme1m7\ndu1yc3Pzfbi868zGxuZ5NSjmLx0/frzo9QcFBcnvPXXq1POuXLJkSb71u7m5vfzyy++99163\nbt1eeOGFfHuM69ev/9dffz3vyV9++aXhLT/99FPR34XCkydPpDKuXr0qNkqdnGFhYcV62qef\nfiovzNnZ+c6dOwVcn5eXJy1sI6pateqjR49K/HbKt/nz5+f7e7Vw4UK1S8uHn5+fok4nJ6es\nrCy16wJgBNod7wQAKI033nhj2rRp+f7o9u3bP//8c1hY2LZt206dOvXw4UPDa1q0aLFz584y\nMex21KhRixYtMuzJTExMPHz48ObNm/fu3Xvjxg3FqD9BEKpVq7Zv377KlSs/78nvvPOOYePm\nzZtLXKqbm5vUuSSNGi3ZkNFjx459++238pY5c+bUqVOngFt0Ot2aNWvk69YkJCTIl5+BXHBw\nsOHvv62t7XvvvadKPQW4dOmSYoFlQRB69Ogh7yEHUHaVgX+JAQCWafr06V9++WUJ/igcOHDg\n77//7u7uboqqTGH06NGbN28uVsHt2rULDw8vOIM1atSoVatWisZdu3YlJyeXpEpBEAymET55\n8iQxMVFsKXogTElJGTRokDzivvbaax988EGhN/r6+n711Vfylu3bt4eFhRXxdTXF09NT0aEq\nCEL37t0t8P8vNmzYYNhogRMdAZQMgRAAUHL/+Mc/zpw5071796Isimhtbf3GG28cOXJk/fr1\nLi4uZijPiPr27RsdHR0SElKhQoWCr/Tx8Vm2bNmRI0eKsqOG4V/VGRkZJZuhKpIyhrgXiNQ9\n6OTkVPSkMXr06Nu3b0unLi4uq1atKuK9Y8eOffHFF+UtY8aMybeXGIq1RgWLTFl5eXmbNm1S\nNNasWdOci7ICMCmdXrYSGgAAJfPw4cNdu3aFh4dHREQ8evQoJSUlNTW1UqVKrq6u1apVa9Gi\nRatWrbp16+bh4aF2paWVlpb2yy+/7Ny589q1a3FxcfHx8XZ2du7u7mKHzyuvvPLKK68Ufc+A\nJ0+eeHp6ZmZmyhs7dOhw5MiRkpUXFxcnfci3b98+derUu+++KwiCv79/REREyZ4JE/m///u/\n4OBg6bRq1aoPHjywtHGY+/fvf/XVVxWNn3zyyTfffKNKPQCMjlVGAQBG4OnpqZHZYpUqVXr7\n7beNtXhm5cqV+/Xrt3btWnnj0aNHIyIipE0Fi6VGjRr16tWLjo4WBOHYsWN3794V20u2CSFM\nas2aNfLTfv36WVoaFARhwYIFihYbG5sRI0aoUgwAU2DIKAAAavrss88MexTF3SNKRj6NsDSb\nEMKk7t69q9jLwQLHi165cmXfvn2KxkGDBnl7e6tRDgCTIBACAKAmX1/ffv36KRq3bt0qn8VX\nLNI0wqNHj5Z4E0KY2tq1a+XL9jRt2rRkfcImNXv2bMXcImtr688++0ytegCYAoEQAACVTZs2\nTdFJmJubO2fOnJI9TeohvHbtmjRvkEBoUfLy8hTjRd9//32VanmuBw8eGK4Q279/f3qbgXKG\nQAgAgMrq168/atQoReP3338fExNTgqfVrVu3du3agiDo9fqkpCSxkT/iLcpPP/0kTe8UBMHG\nxqZ///4q1pOvqVOnZmVlyVscHR0V24oAKAcIhAAAqG/GjBmKbSqysrKmTJlSsqcFBQXJT21s\nbMSICEuQlpb2xRdfyFtef/316tWrq1VPviIiIgy3H/zqq6/4RQLKHwIhAADqc3JyWrhwoaJx\n+/bt4v7yxaXY8dzLy8sCl6/Ujujo6PT0dEEQ9Hp9REREt27dLl++LL9g9OjRKpX2XBMmTJBP\ncRQEITAw0ALrBFB6BEIAACxCr169DHezCA0NzcnJKe6jpGmEIiYQqmvo0KGVKlVyc3NzcHBo\n0aKFYpPJwMDArl27qlVbvn788cdDhw7JW+zs7FauXFn0DTYBlCEEQgAALMXq1at9fX3lLRER\nETNnzizucxo3blytWjXplAmEqhPnc2ZmZira7e3tlyxZotPpVKkqX48fPzac0Tpv3jwLXAQV\ngFEQCAEAsBQuLi4//vhjxYoV5Y3Tp0+/ePFisZ6j0+natWsnndJDaJns7Oy2b9/epk0btQv5\nH6NGjXr06JG8ZeDAgYYREUC5QSAEAMCCNGvWbMWKFfKWrKyswYMHZ2dnF+s58mmE9BBaIC8v\nr507d77xxhtqF/I/tm3btm3bNnlLs2bNli9frlY9AMxAp9hvFAAAlAPh4eEtW7YUjyMiIvz9\n/dWtR8v27du3bNmy8+fPJyQk1K5du2HDhj179hw8eDAr/QCwBARCAADKoZycnJo1az569MjR\n0fHRo0cODg5qVwQAsEQ2ahcAAACMz8bGZu/evevWrQsODiYNAgCehx5CAAAAANAoFpUBAAAA\nAI0iEAIAAACARhEIAQAAAECjCIQAAAAAoFEEQgAAAADQKAIhAAAAAGgUgRAAAAAANIpACAAA\nAAAaRSAEAAAAAI0iEAIAAACARhEIAQAAAECjCIQAAAAAoFEEQgAAAADQKAIhAAAAAGgUgRAA\nAAAANIpACAAAAAAaRSAEAAAAAI0iEAIAAACARhEIAQAAAECjCIQAAAAAoFEEQgAAAADQKAIh\nAAAAAGgUgRAAAAAANIpACAAAAAAaRSAEAAAAAI0iEAIAAACARhEIAQAAAECjCIQAAAAAoFEE\nQgAAAADQKAIhAAAAAGgUgRAAAAAANIpACAAAAAAaRSAEAAAAAI0iEAIAAACARhEIAQAAAECj\nCIQAAAAAoFEEQgAAAADQKAIhAAAAAGgUgRAAAAAANIpACAAAAAAaRSAEAAAAAI0iEAIAAACA\nRhEIAQAAAECjCIQAAAAAoFEEQgAAAADQKAIhAAAAAGgUgRAAAAAANIpACAAAAAAaRSAEAAAA\nAI0iEAIAAACARhEIAQAAAECjCIQAAAAAoFEEQgAAAADQKAIhAAAAAGgUgRAAAAAANIpACAAA\nAAAaRSAEAAAAAI0iEAIAAACARhEIAQAAAECjCIQAAAAAoFEEQgAAAADQKAIhAAAAAGgUgRAA\nAAAANIpACAAAAAAaRSAEAAAAAI0iEAIAAACARhEIAQAAAECjCIQAAAAAoFEEQgAAAADQKAIh\nAAAAAGgUgRAAAAAANIpACAAAAAAaRSAEAAAAAI0iEAIAAACARhEIAQAAAECjCIQAAAAAoFEE\nQgAAAADQKAIhAAAAAGgUgRAAAAAANIpACAAAAAAaRSAEAAAAAI0iEAIAAACARhEIAQAAAECj\nCIQAAAAAoFEEQgAAAADQKAIhAAAAAGgUgRAAAAAANIpACAAAAAAaRSAEAAAAAI0iEAIAAACA\nRhEIAQAAAECjCIQAAAAAoFEEQgAAzCQnJ2fYsGFOTk5BQUGbNm26ePFiVlaW2kUBADRNp9fr\n1a4BAIByLjU1dfXq1fPnz799+7a83dbWtkGDBk3/o0mTJt7e3uqUCADQJAIhAAAmFBsbu3Dh\nwhUrViQmJhblemdn5yZNmjRt2rRZs2bigZubm6mLBABoFoEQAACTiIyMnDt3blhYWL7jQuvX\nr3/79u2iDBmtVatWkyZNpHzYuHFjOzs7E9QLANAiAiEAAEZ2/Pjxb7/9du/evfJ/ZJ2cnIYM\nGbJ58+aEhARBEE6cONG6deu7d+9evnw5PDz8ypUrly9fjoqKysvLK/jhNjY2derUady4cWBg\noJ+fX+PGjRs1amRlxaIAAICSIBACAGAceXl5e/funTFjxp9//ilv9/Dw+PDDD8eOHevq6urr\n63vjxg1BEPbv39+lSxfFE54+fXr9+vXLly+L+fDMmTPx8fGFvq6dnZ2vr6+UD1u1alWjRg0j\nvi8AQDlmo3YBAACUeeKaMfPmzbtz5468vXnz5uPHj3/vvfdsbW3FlooVK4oHz549M3yOk5NT\nYGBgYGCg1JKYmCjvQoyIiDC8MSsr68qVK1euXJFa3Nzc5F2ILVq0kF4XAAA5eggBACi5+Pj4\nZcuWLVq06MmTJ/L29u3bT5kypXv37jqdTt7etm1bsf9w8+bN7777bnFfLicnpwSjTK2trb28\nvBo3bizmw8DAQEaZAgBE9BACAFASly5dWrx48fr16zMyMqRGOzu7vn37Tp48uUmTJvneVXAP\nYaFsbGx8fHx8fHx69OghtmRlZUVHR0v58OzZs3FxcYq7cnNzb968efPmzT179kh1ykeZtmzZ\n0sPDowT1AADKOgIhAADFk++aMc7Ozu+///6kSZNq1apVwL1SIExLSzNKMXZ2dn5+fn5+flKL\nYpTp+fPnDV/reaNMpS7EgICASpUqGaVCAIAlIxACAFAk2dnZO3bsmD179unTp+Xt3t7eI0eO\nHDFihKura6EPKWUPYVG4ubkFBQUFBQVJLQ8fPpTyYXh4+LVr13JzcxV3JSYmnjhx4sSJE1KL\nh4eH1IUYGBjYsGFDa2trE9UMAFALgRAAgEI8ffp0zZo1c+fOvXv3rrzd399/3Lhx/fr1s7Ep\n6r+nUrdbenq6kat8Pk9PT09Pz+eNMg0PD4+NjTW8KzY2ds+ePc8bZern5+fj42O2twAAMBEC\nIQAAzxUXF7d8+fKFCxcmJiZKjTqdrnPnziEhIVLEKjoz9BAW6nmjTKV8WLJRpv7+/o6OjmZ6\nDwAAIyEQAgCQj4sXLy5ZsmTdunWZmZlSo7hmzJQpU+RpqliMPofQKEwxytTPz69Jkyb29vZm\neg8AgBIhEAIA8D9Ks2ZMoSyhh7AoFKNMs7Ozr1+/LuXDK1eu3Lx50/AuxShTW1vbevXqSV2I\nfn5+devWVezDAQBQF4EQAABB+M+aMbNmzTpz5oy8XVwzZuTIkS4uLqV/lbISCBVsbW3FUabB\nwcFiS1JSUmRkpBQRL1y4kJqaqrgrOztbMcrU1dVVfI7YhRgQEFClShXzvQ0AgAECIQBA68Q1\nY+bMmXPv3j15e0BAwNixY4u1ZkyhymggNOTq6mo4ylTehRgZGSkfbStKSkoyHGUq70L08/Or\nUKGCmd4DAIBACADQstjY2BUrVixYsCApKUlqLM2aMYUqN4HQkDjKtEuXLuKp4SjTW7duyUfh\nimJjY2NjYw8cOCCeMsoUAMyMQAgA0KILFy7MmTNny5Yt2dnZUqO4Zswnn3zSuHFjE71uOQ6E\nCoajTJOTky9duiRGxCtXrpw/f/7x48eKuwxHmbq4uPj6+kr5sHnz5lWrVjXf2wCA8k5n+F0d\nAADlWL5rxri4uAwePHjy5Mk1a9Y06avv3LnzrbfeEgShadOmFy9eNOlrWT7FKNPLly9nZGQU\nehejTAHAiAiEAABNyMrK2rJly6xZsyIjI+XtdevWDQ0N/eCDD6Qt403qwIEDXbt2FQThhRde\niImJMcMrliHyUabi/7169Wqhf6jY2NjUqVNHyoeNGzdu3Lgxo0wBoIgIhACAci4lJWXt2rWz\nZ8++f/++vL1FixahoaHGXTOmUCdPnmzfvr0gCB4eHg8fPjTb65ZRycnJMTExUhfihQsXEhIS\nCr3L2dm5Xr16UkRs1qxZtWrVzFAtAJRFBEIAQLl1+/bt5cuXr1ixQr5mjJWV1RtvvBEaGiot\nf2JO58+fDwgIEATBxcVFXhWKSDHK9MqVK+np6YXeJY0ylcaaOjg4mKFaALB8BEIAQDl0/vz5\nuXPnbt68OScnR2q0t7fv06fPp59+2qhRI7UKu379eoMGDQRBsLGxka9ng5LJycm5e/eufBZi\nVFRUXl5ewXcZjjJt1KiRlZWVeWoGAItCIAQAlB96vf7gwYMLFizYs2ePvN3d3X3YsGEhISGe\nnp5q1Sa6f/9+7dq1xeOsrCxbW1t16yl/UlJSoqOjpYh48eLFR48eFXqXk5NT/fr1pS7E1q1b\nV69e3QzVAoDqCIQAgPJAXDPmu+++u3z5srzdx8cnJCRk+PDh0n4P6kpMTKxcubJ07Orqqm49\nWpCYmCjvQjx37lxRRpm6ubnJuxBbtGhhIb9CAGBcBEIAQNn2vDVjAgMDQ0JC+vfvb21trVZt\nhjIzM6U9Eh48eKB6j6UGlWyUqbW1tZeXl3wWIqNMAZQPBEIAQFklrhmzfPny5ORkqVHdNWOK\nwsbGJjc3VxCE6OhoX19ftcuBkJWVFR0dLeXDs2fPxsXFFXqXnZ2dr6+v1IXYqlWrGjVqmKFa\nADAuAiEAoOyJiIiYN2+eBa4ZUxTOzs5Pnz4VBOHChQvNmjVTuxzkQzHKNCIi4tmzZ4XepRhl\nGhAQYJ7NLQGgNAiEAIAy43lrxlStWnXo0KGhoaEeHh5q1VZ0NWrUiI+PFwThjz/+aNu2rdrl\noHC5ubl37ty5fPmytONFUUaZCoLg4eEh5cPAwMCGDRta1ABmABAIhACAMkFcM+bbb7+9cuWK\nvP2FF14YM2aM5awZUxQ+Pj63bt0SBOHAgQOdO3dWuxyUhGKUaXh4eGxsbKF3KUaZ+vn5+fj4\nmKFaACiAjdoFAABQkOTk5B9++GHWrFkPHjyQt1vmmjFFIWXXooxChGWys7Pz8/Pz8/OTWsRR\nplI+PH/+fFpamuKurKysK1euyL/UEEeZSl2I/v7+jo6OZnoPACAIAj2EAACLdevWrfnz569e\nvVr+h7W4Zsynn37arl07FWsrjTZt2pw+fVoQhC1btvTt21ftcmAqDx8+lHchXrt2TVxMqGCM\nMgVgZgRCAIDFOXfu3Pz58/NdM+azzz5r2LChirWVXqdOnQ4fPiwIwpo1a4YMGaJ2OTATxSjT\nK1eu3Lx5s9C7bG1t69WrJ+VDRpkCMDqGjAIALEVeXt7evXsXLlx44MABeXu1atU++uij0aNH\nu7u7q1WbETFkVJsKHWV64cKF1NRUxV3Z2dmKUaaurq7ic8SI2Lx5cycnJzO9BwDlEYEQAKC+\nzMzMf//73zNnzrx69aq83dfXd/To0R9++KGDg4NatRkdgRAiNze3oKCgoKAgqUU+yvTKlSuR\nkZGZmZmKu5KSkk6cOHHixAmpxcPDQ96F2KRJE3t7ezO9BwBlH4EQAKCmx48fr169euHChQ8f\nPpS3t2/fPjQ0tHfv3uVvApUUCA0XHYHGeXp6enp69ujRQzzNzs6+fv261IV45cqVW7duGU72\niY2NjY2NlfrVDUeZ1q1bV6fTmfWdACg7CIQAAHXcvHlzwYIFq1atkneUiWvGfPbZZy+++KKK\ntZmUtFl5enq6upXAwtna2oqjQ4ODg8WWpKSkyMhIqQsxIiLir7/+UtxlOMrUxcXF19dXyof+\n/v7lY/Q1AKMgEAIAzC08PHzBggWbNm2SL7pYqVKl/v37jx8/vkGDBirWZgYMGUWJubq6Go4y\nlXchXr58OSMjQ3FXcnJyeHh4eHj4hg0bxBbFKFM/P78KFSqY720AsCQEQgCAmRS8ZsyYMWOq\nVKmiVm3mRCCEEYmjTLt06SKeilsdRkZGXvqP+/fvG95lOMq0YsWKfn5+R44csbHhj0NAW/j/\neQCAyYlrxnzzzTdRUVHy9nK5ZkyhpDfLHEIYnZ2dnb+/v7+/v9SSmJh46dKlyMjIixcvRkZG\nRkZGJicnK+7Kzs5OTk4+efLkjBkzvvjiC/OWDEBlBEIAgAklJCSsWbNmwYIFsbGx8vZyvGZM\noaQ5hPQQwgzc3Nw6dOjQoUMHqeX27dtiMhQjYlRUVHZ2tvijWrVqqVQmANUQCAEAJnHjxo2F\nCxfmu2bM1KlT27Ztq2Jt6mLIKNTl7e3t7e3dvXt3QRBycnJu3rwpTdzt2bOnqqUBUAGBEABg\nZPmuGePo6NivX78JEybUr19fxdosAYEQFiIqKqpr166PHz8WT+vUqcPqo4AGEQgBAMYhrhkz\nc+bMkydPyturV68+cuTIkJCQypUrq1WbRSEQwhKkp6cHBwfLl5yRzzwEoB0EQgBAaT1vzZh6\n9ep9/PHHI0aMYEV7OTamhyUIDQ2NjIyUtwQEBKhVDAAVEQgBACX36NGjpUuXLl68WLE7dvv2\n7adMmdK9e3edTqdWbRaLHkKo7uzZsytXrhSPXVxcxHVH6SEEtIlACAAoiZiYmEWLFq1cuTI9\nPV1qFNeMmTZtWps2bVSszcKxyihUZ2VlJR60bNkyPDxcPKaHENAmAiEAoHiOHz++cOHC7du3\nK9aMGTp06Pjx4728vFSsrUyghxCqa9Gixfbt2yMjI/39/d98801BEFxdXevUqaN2XQBUQCAE\nABSJuGbMN99888cff8jbWTOmuKRAmJWVlZOTY2PDv8VQQa9evXr16jV//nzxNCAggAHegDbx\njxAAoBBpaWlhYWFz5869du2avL1p06ajR48eNGgQa8YUixQIBUF49uyZs7OzisVA486fPy8e\nMF4U0CwCIQDguVgzxhQIhLAcUiBkRRlAswiEAIB85LtmjK2t7VtvvTVx4sTWrVurWFtZV6FC\nBWtra3EGJjtPQEVZWVlXr14Vj+khBDTLSu0CAACW5fjx43369GnQoMHChQulNOjk5BQSEhIT\nE7N161bSYCnpdDoHBwfxmHVlYB5z586tUKFCt27dcnJypMbIyMisrCxBEOzt7Rs0aKBedQDU\nRA8hAEAQ/rNmzNdff33q1Cl5e40aNUaMGBEaGurm5qZWbeVPxYoVU1NTBQIhzOLAgQOTJk3K\ny8vbt2/f1atXmzZtKrZHRESIB02bNrW1tVWvQABqIhACgNalpqZu2rRpzpw5169fl7c3a9bs\n448/Hjx4sL29vVq1lVfsPAGziY+PHzhwYF5eniAIDRs2lPcEsqIMAIFACABaFh8fv2zZskWL\nFj158kTezpoxpkYghNlMnTo1Li5OEIQKFSps2bLFzs5O+hErygAQmEMIANoUHR0dGhrq7e39\nr3/9S0qDtra2wcHBp0+fPn78eI8ePUiDpiMFQnMuKpOSktKmTRtnZ+dhw4bJJ5KhfMvIyBAP\n5syZ07x5c6ldr9dfvHhRPKaHENAyeggBQFuOHz/+7bff7t27V6/XS41OTk5DhgyZOHFi7dq1\nVaxNOypVqiQemKeH8MaNG4GBgcnJyeLpmjVr1q1b5+/vP3To0FGjRpmhAKho7ty5np6eDRs2\nHDp0qLw9JiYmJSVFEAQrKytpViEADSIQAoAmiGvGzJgx488//5S3e3h4fPjhh2PHjnV1dVWr\nNg0y25DRqKioDh06JCQkKNpzc3PDw8PDw8OnT58eGxtr0hqgrmrVqn333XeG7dKKMvXq1XN0\ndDRvUQAsCIEQAMq51NTU1atXz5s3786dO/L25s2bjx8//r333mN1QfMzTyCsU6fOvXv3Cr4m\nLi6uY8eOR44cMV0ZsEysKANARCAEgHKLNWMslhkCYa9evRRpUKfTCTpBn6dXXHn06NHAwMDw\n8HATVQLLxIoyAEQsKgMA5dClS5dGjBihWDPGzs5u4MCBly5dYs0Y1Zk6EB48eHDHjh2KxlrN\na9VsWjPf68+dO7ds2TJTVAKLJQ0ZpYcQ0DgCIQCUK2LYa968+ffffy+tLujs7BwSEnLjxo31\n69c3adJE3QohmDgQJicnd+vWzbD9yb0nDy89fN5do0aNOnPmjNGLgZmlpKR07dq1Zs2au3fv\nLuCy+Ph4cS8KQRDkS48C0CACIQCUB9nZ2du2bWvTps1LL720Z88eaQVRb2/vmTNn3rlzZ8GC\nBbVq1VK3SEhMuspo+/btMzMzDdvT/koTdye3srZq1qOZ4QVt2rR5/Pix0euBOY0YMeLAgQMP\nHz6cN29eAZedO3dOPPD09KxevbpZSgNgoZhDCABl29OnT9esWTN37ty7d+/K2/39/ceNG9ev\nXz8bG/5Tb3EcHBzEA6MHwo4dO16+fLnga3RWutb9WmelZUX9HiVv1+v1derUSU1NtbLi++Iy\nadWqVVu2bBGPX3vttQKuZEUZABL+iw8AZVVcXNw///lPLy+vsWPHSmlQp9N16dJl165dERER\ngwYNIg1aJhNtTH/37t2jR48atts52NX2/+8Ok7nZuT99+lPNZvnMJ0xPT69fv74RS4LZJCYm\nhoaGisedOnWaOHFiARezogwACX8oAEDZc/HixSVLlqxbt04+MtDOzq5v375Tpkzx8/NTsTYU\nhYnmEHbp0iXfdrfablnPsuQtf93+69DiQ/lefOPGjaSkJPalLHPS09PF/yBUrVp148aN1tbW\nBVwsrShDIARADyEAlCXimjH+/v7ff/+9lAbFNWNu3ry5fv160mCZYIo5hJGRkdHR0fn+qIpX\nlcT7ieKxzurv1WXzcvKe96i3337bWFXBbDw9PTdv3jx48OD9+/d7enoWcGVqauqNGzfEY4aM\nAqCHEADKgOzs7B07dsyaNUuxDqS3t/fIkSNHjhzp4uKiVm0oAVP0ELZt2zbfdp2Vzqmak9RD\n2OrdVpf2XkpPThdPHas5pj5KVdxy6NChJ0+eVK5c2Vi1wTyCg4ODg4MLvez8+fPi8kLOzs4+\nPj6mrwuARaOHEAAs2tOnTxcsWPDCCy/06dNHngYDAgLWrVsXHR09ZcoU0mCZY/RAuH///udN\nR7S1s71//r54bGNv4xXoFfD2fzuFKrlU8m7trbhFr9cPGzbMKIXBAsknELIfKQB6CAHAQsXG\nxq5YsWLBggVJSUlSo06n69y5c0hISI8ePVSsDaVk9EDYv3//5/0oKyPrCKbg+AAAIABJREFU\nweUH4nGNhjWsbKzio+Kln8bHxPf4Z4/bp28r7tq5c2dKSoqzs7NRyoNFYUUZAHL0EAKAxblw\n4cKgQYO8vLz+9a9/SWnQzs5u4MCBkZGR+/fvJw2WdcZdZTQyMjIhIaEoV9pXshcE4eEV2fb0\neuH8jvN1AuoortTr9YMHDy59bbBArCgDQI5ACAAWRFwzJiAgYMOGDdnZ2WKji4uLtGZM48aN\n1a0QRmHcRWWet7ioIAhW1la2DrbS6Y0/bsRejU1PSpdfc+/8PZ92+Uwk27FjR1xcXOnLg4kc\nPHjwhRde6N69e3p6euFX/0d2dvaVK1fEY1aUASAIgk6v16tdAwBoXVZW1pYtW2bNmhUZGSlv\nr1u3bmho6AcffCDlB5QPd+/e9fLyEo9zcnIK3iGgYNevX2/QoIGi0drWOjc7VxAE5+rOju6O\nDy//t0tQp/v7n34bextrG+vMtEz59Qr+/v5SbxIsyt27dwMCAp48eSIIwo4dO3r27FnEGy9c\nuCB2DNrZ2T19+tTOzs6EVQIoC5hDCABqSklJWbt27ezZs+/fvy9vb9GiRWhoaL9+/dhZvlyS\nhowKgvDs2TMnJ6cSP6p79+4F/NSpqlNyXLK8RfoiuLZ/bXdv9zP/PiMIQr5pUBCEixcvlrgw\nmE5OTs57770npkFHR8cWLVoU/V5pAqGfnx9pEIDAkFEAUMvt27c/+eQTLy+vsWPHSmnQysqq\ne/fu+/fvDw8PHzRoEGmwvPr999+lY29v706dOpUsesXExBjuPWhjZyPtMehY1TE95T87TLg7\nyi/zCvRq2q2pOKvwefLy8r799tsSFAaTWrx48cmTJ8XjZcuW1a5du+j3sqIMAAUCIQCY2/nz\n5wcNGlSvXr1vv/1WWjPG3t5eXDNm9+7dBUwJQznw4Ycf9u3bVzp98uTJ4cOH/f39GzVqNH/+\n/GI9KigoyLDRxt5G6gasWLlibtbfvX/N32xezbeadJm1rbVdRbtGXRpJLfaO+YTDf/3rX8Uq\nCWbw8OHfY4Dff//9AQMGFOteVpQBoEAgBAAz0ev1Bw4ckNaMycnJEdvd3d2nTJkirhnTqFGj\ngh+Csu6tt95auXKlYbter4+Kiho3bpy/v//3339flEfl5eXFx8fn0577d/egXUW7tMd/r2Jq\nZW3l4uFSwamCdNmpDacEQZB2qBcEwd3b3fBp6enpx48fL0o9MJspU6aMHDlywoQJS5cuLdaN\ner1e6otmRRkAIhaVAQCTE9eM+e677y5fvixv9/HxCQkJGT58uHxGGcqxAQMGhIWFFeVKLy+v\n7du3Fzw3bPr06Z9//rlhu429TU5mjiAIVbyq6Kx1j28+FgTBtabrS8NfOrT4UOrjVOnKTqM7\nndpwSsqEFd0q5mbnZqZmKh7YoEGDqKioopQNC3fr1i0fHx9BEHQ6XWJioouLi9oVAVAfPYQA\nYEIpKSkLFizw8fEZPHiwPA0GBgauW7fu+vXroaGhpEGN6NmzZxHToCAId+7cadmyZZMmTaTB\ngYYWL16cb7s0RtSmgo0U/9xqugmC8Czpf3a5+GPdH/IewmeJzzwaeRg+0HCaIsooabzoCy+8\nQBoEICIQAoBJZGVl1a5d29XVdezYsQ8ePBAbraysevXqdeLEibNnzw4aNKg0mw2gbFm5cuWu\nXbuKdYter798+XKDBg1mz55tOJwnNTX10aNHz7tRPIi/Fp+RkiEeu9ZyzXiaIS02I8p4mqG4\nN+1JmuED8/LyNm/eXKziYZlYUQaAIQIhAJjEBx98cP/+felPcysrq/feey8qKmr79u3t2rVT\ntzaY2bx580aMGFGye1NTUydNmlSjRo2YmBh5+4QJE4r1HEd3xwcX//5iwq6inXvd/5kuaG3z\n93cTSQ+SnKs7G97+ySefFOvlYJlYUQaAIQIhAJhE/fr15ad5eXk5OTn16tVTqx6o5fr161Om\nTCnljP1Hjx41adJkyJAhubl/Dwddt25dIffo/ufs9KbTj2L+7lGs6lPVv+f/5IEXB78oHmRn\nZFd0y2cM8927d1NSUkpSOkpNr9dPnDjRz89v27ZtpXyU1EPIijIAJARCADCJCRMmKHYRbNKk\niVrFQC0PHz5s1apVdnZ26R+VmZn5ww8/1KtXLyYmJioqKjNTufSLyMb+7986V09X15qu/709\nNfPxrcfisXtdd4/GHpVrV/77Zzoh4K2AGg1riGdxUXH5PnnixImlfxcogXnz5s2ZM+fKlStT\npkwpzXP++usvactTAiEACYEQAEzCwcGhVatW4vGkSZMOHz78j3/8Q3FNQkJC+/bt69ev//HH\nHx84cEDaiALlg16v7969u3E71m7dutWoUaMOHToUemVF14qG64WK3F9wFwTBtqLt3+d6IT4m\nvnHXxgU/cP369cWrFcZw5syZTz/9VDxu3bp1aR517tw58aBatWoeHvmsHgRAmwiEAGAqL730\nknhw8+bNjh076nQ6xQXbt28/efJkdHT00qVLu3btWrNmzT///NPsZcJUPvzwQ2nKlhHl5OQk\nJCTk+yNbB9u87L+XjXFwdch6liUeW9v+d/kinU4n7jeY9CBJajz5w8mGrzSUX2YoMzPz6NGj\npSwexTVgwICsrCxBEGrVqrVkyZLSPEr6baR7EIAcgRAATEUKhEePHs13ClmHDh3kK78/evRo\n9erVZioOJrZ79+5Vq1aZ+UXtK9rn5f0dCCu6VszN/nvCYbPuzewd7cVjvV6fl5OXl5eXmfbf\n/sMHlx7YVbSr0aBGwc8fMGCACarGc2VnZ9+7d08QBBsbm02bNlWpUqU0T2MCIYB8EQgBwFTa\nt29vZWUlCEJCQkK+O7k1atTo5s2ba9euffPNNx0cHCpUqNC7d2/Dy5KTkxMTE01eLoznwYMH\ngwcPNv/rSt876HS6nKz/jkCuXKdyBacK0umxlcfuRdwTZN9R6PP04VvD5bsUSuuOyonhBGZj\na2u7bt26119/PSwsTPqCqcTYcwJAvnSlXPcMAFCAZs2aXbp0SRCEVatWDRs2rIArMzMz8/Ly\nHBwcFO2nTp3q3LlzRkZG27Zte/Xq9c4773h7e5uuYJReXl5ezZo14+LyX5rFpBycHdJT0gVB\ncHBxqOJV5f7F+2Jjh5Edfl/0e3b6f9e2qdGwhmLxGKeqTqmPU6W/CmzsbOSRUrJ169bg4GAT\nvgeYxrNnz5ydncVVaq9du6ZYBhmAltFDCAAmJH2pf+zYsYKvtLe3N0yDgiD89ttvz549y8vL\nO3ny5KRJk+rXr3/w4EHjFwrj+frrr1VJg4Ig5Ob8PUa0omvFp4+fiseOVR0FQcjJ+J90J6VB\nF4+/By3/P3vnHRfVsfbxOds7ZSlKRwRBBcTeFWui0RRvEjUak2tPNEWT4Bs1iSWaEKMpJJJE\nY7uxxMQWNBKN3RgLIGAFaVIEFpCl7bLtvH+cdXZYFli6rM/3j/uZmTNnZpase8/vPK1cUU6+\nIzboa5Swx6xdu7ZFjwy0EUlJSYwaFIvFXbt2be/jAADwGAGCEAAA26GwsDAqKmrcuHEBAQEi\nkcjV1bVPnz5z5sw5efIkrt7WShgMhj///PPdd9/t16+fu7s7n893cHDw9/e/cuUKM6FBQVgX\nM2fODAoKwl2tVnv27NkWODHQOkRHR9dOJ9s2UCzKoDNllFEr1Uxb6iytLK6syyGo70t9RfYW\nCg8aDAZkngUJIYRu3rzZMscF2hacUSY0NJRxZQcAAGDgNDwFAADgsUelUn3yyScbN24kKzeo\nVKrCwsL4+PitW7cGBAT89NNP1iTrbwK//vrrRx99dPfuXXJQo9GUlpqyOKanp1+/fr0JoTu+\nvr63bt26fv36wYMHjx49KhAI5syZU3va33//TVHUsGHDuFxu7atA21BQUNCOxfp4Ip6m0phW\nVGQv0qqNDqISZwkuSc+X8Ll8bkVxBb6rc1Bn/+H+iUcSzZejEZvDxiZHjF6vj4+P7927d2t8\nBKD1gIwyAADUBbwiAgCgw5OVlRUaGhoZGVlPHb+UlJSRI0euWrWqZbfWaDSvv/76yy+/bKYG\nLRIeHt5k416vXr1WrVp17dq1CxcueHl5mV3dvHnzmDFjRo8e7eLiMnPmzOPHjzdtF6A5aLXa\nQYMGVVZWttcBqiuqsRkw80om9vmUOktxhQn7zvY9n+6JbxHIBGK5OHB0IB5hsVm4YD1OWGrG\nm2++2eKHBxgyMzOffvrpl156SalUtuzKkFEGAIC6AEEIAEDHJi8vb/To0bVzeEqlUja7RppE\nmqY/+eSTL774oqW2pmn61Vdf3b59e+1LYrG4tlNWaWnpxIkTr1271lIHwNy7dw9v8b///e/p\np58+duxYi+8C1M/MmTMzMjLa+xRGNCqjqZCiKJGDqKLIaBK0c7PzDPUUSIwZR3XVOoSQvZu9\nyMHoNcoVcoPGGl2UaYNlL1PsCA20LGq1+vnnnz9+/Pj+/ft37NjRgivr9fobN24wbRCEAACY\nAYIQAICOzezZs9PS0nDXy8srOjpaoVCUlZWpVKpr165Nnz6dnB8REREXF9ciW0dFRe3bt48c\nGTt2bGxsbE5OTkVFRUVFRUJCQmRkJJkqprKycsqUKWq1ukUOgImIiHjxxRdFIlMkWHslNXli\n2bx586+//trep7AATdO5ybnVFcaSg/ad7RFlShijq9YVZxYjhHAJe02VpuvQBjKOGAyGwsLC\nVjvyk8vSpUsZOx5FUcHBwS248p07d6qqqhBCHA6nZ8+eDc4HAODJggYAAOiwmPlGhoWFFRQU\n1J62efNm0l43fPjw5m/98OFDBwcHvCaLxdq9e7fFmRcuXDD74V23bl3zD1CbysrKAwcOzJs3\n7//+7/+qq6trH3jVqlUbNmxISUlpjd2fZJKSkijKUgKWtoXDM+YFEDuKuULLoaRjl4x9ccOL\nZLYY92D3mT/NJOc8u/ZZqYu0/r2mT5/e3n91W+PkyZP4z/vWW2+17OK7du1iVg4ODm7ZlQEA\nsAHAQggAQAeGTOAhkUgOHz7s4uJSe9qCBQsWLVqEu+fOnTty5Egztz506BBZLH7JkiXTpk2z\nOHPw4MFyuZwc2bZtWzN3t4hIJHr++ed/+OGHdevW8Xg8s6vLli37+OOP33vvvYCAgODg4I0b\nN9JQh7YlKCkpmThxYrv/MSkWRbGNOs+us53FNJIUi5K5yIozi8mS9Hk3826fuE1OSziQ0HVw\nA0bCgwcPNvfEQE1u3brFNPr06RMZGdmyi0NGGQAA6gEEIQAAHZW4uDgcFYMQWrlypaenZ12T\nP/30U2dnZ9xtviQ7evQobgsEgjVr1tQ1k6KoESNGkCOpqak46q/NICXijRs3li5dGhsb28Zn\nsD30en1oaGh2dnZ7HwTxhDy9xpgRVCATaKu1tedI5BIWh5V3O48cpA108tFkciTvZp7fUL/6\nt1OpVHw+39XVtVu3bitXrgQP0uYza9asadOmTZw48cCBA3w+v2UXh4wyAADUAwhCAAA6Kr/9\n9htu83i82bNn1zNZIpHMnGnyi4uNjW1mNsj09HTc7tmzp0AgqGcyLk9v8fa2Yf369WvWrMGP\ngxRF2dnZtfEZbI/58+fn5OS09ykQQogn5uHIQIFUgAsSeoaZ3pJUKasQQkzQIEl1ZTXZ1VXr\nWGwWi93AE4JGoyksLExJSVm7dq2rqytFUSwWi8/ne3l5TZ48+c8//2zmJ3rSkMlku3fvjomJ\nqZ1GuPkkJhrLioAgBACgNiAIAQDoqPz++++4PWHCBDO3zNqQglClUjUzD2dRURFud+vWrf7J\ntQVh21tUxGLxihUrEhIS0tLSfvzxx9jY2EGDBpnNuXbt2tixY2fMmLF///6KigqL6wCYmTNn\nbt26tb1PYYQMYtRrTcUD/Qb68YRG47Beo085m1KuKGe6rgGuZovgmdf2Xaur5kQ90DSt0Wiy\ns7P/+OOPCRMmMBJRJBJNnz59165d1dXVDS8BtAL3799nfq8oigoNDW3v4wAA8NgBghAAgA5J\nYWEhWWpi5MiRDd4SGhpqb2+Pu+fOnWvOARwdHXG7QY/BXr16kSlAEUJkQpo2pkuXLnPnzh07\ndmztS8uWLTt58uQvv/zy0ksvOTs7z5kzR683r0sOMGzZsuWXX35p71OYwBXkOXxOVWkV0+ZL\n+GweW6sxuY/e+PMGzjja46kesk4yfIkr5IZMCmHaGVcyUEsERdI0rVKp9uzZ8+qrrwoEAhaL\n5ezs/Mwzz+Tl5TV8M9BCYH9Rb29v8ocLAACAAQQhAAAdEpyAgaG2sas2FEUNGDAAd+/cudOc\nA7i7u+M2dseqCzab7eHhUdftjw+kO5lard66devFixfb8TyPLV999dXcuXPbPZEMCa03HkYg\nE1QWG92hRQ4inUaHLyGE9Do9ri4o95YHDA/AlzoFdvIf5m9crY4KhM09JE0XFRUdPXrU3d2d\noiihUDht2rSCgoLW2AvAJCQkMA3IKAMAgEVAEAIA0CG5efMm2bWyshY5rZmC8LnnnsNtpVK5\nZcuWeiZXVlYWF5sCt3x8fEJCQpqzeysRGRl5+PDhWbNmMWYEuVzeoDfsE8jOnTvJ9LaPCdhC\nKJQJ1WXGQpdiB3FpbqnF+XwJX+Qg6jq0q8nX1IBc/FwaLDjRgqjV6r1793bq1ImiKLlc/tVX\nX+l0ujbbvd3ZvXv3U089tWfPntbeCDLKAABQPyAIAQDokJAWQrlcbuaQWRdkGtKcnJzy8vIm\nH+CVV15xdTWFYL377ru3b5ty99M0/eDBg8uXL//++++bNm0aMGAAKQgXL15ssSpAu8NisSZP\nnrx9+/aCgoL4+Pg7d+6Qn5Hh+++/F4lEPXv2XL58+bVr1x4rK1kb8PPPP8+aNetx86Rlc9mm\nFKNSgUZlrDIvchBhQSiUCTl8Dr7F0csRIcQX8elHvqHF94sRhfwGN5BftJUoKSl59913uVwu\nh8OZPHlybm5uuxyjzThz5syrr74aGxv73//+V6u1kBK2BcEWQhCEAABY5HF8IgEAAGgQ0s3M\nzBuzHsxmNieQSSgUHjlyBAvRioqKkJCQ0NDQoUOH+vn5CQQCNze3gQMH/uc//1myZImZPdPH\nx6fJ+7YNHA4nLCzMycmp9qVvv/1WpVLdvHlz3bp1/fr1GzFiRGs/zj4+fPzxx3Pnzm3vU1iA\nJ+LhRDICmQCLQ5GDCKeQsfew7zbSZO9l8sfkp+TjWMGqh1XqCjVZgVBoJ2z9s5uj1+v/+OMP\nDw8PFovVp08f8j2LzaBQKF555RXmtYKvry+Xy229vUpLS+/fv8+0wWUUAACLgCAEAKBDQubA\ntKhbLGKWUKGZlSf69+//xx9/4Pp+Op0uKSnp4sWL6enpGo2mnhvbvuZECzJz5kwyoeX58+fv\n3r3bjudpMz755JPVq1c3IfdmG8AT8rCplsPn4LbYQawqVTFtiZOky6AuFMv4306RpkAIZV+v\nkQ/p2r5rLv4uuOvewx3Pb3tomo6Pj+/evTujDDMyMtrrJC3Om2++ybyN4vP5u3btatW9EhIS\nmO+DXC6vp1IrAABPMiAIAQDokJCCUCi01o5hNrOZghAhNGrUKLLgez2IRKI+ffow7UuXLjVz\n33bkww8/zMjI2LRp0/Dhw9ls9rhx4wIDA83m6PX669evN8cj97FCq9X269dv1apV7X2QOlHm\nK3H73vl7TIPFZvGlfE2V8d2E1FmKaFO2mKrSqtK80sJ7NcqfpJxLSTmbgrsPcx+6dHVB7Q2j\nDLt06cJisV544QUbKIhy7do1phEZGYl/FloJyCgDAECDgCAEAKBDQj4U1l8UnqTFBSFCaNWq\nVTKZrMFpfD5/yJAhTPv8+fMdOvTO29v7nXfeOXv2rE6ni42N5XA4ZhNefvnlsLAwpsDAli1b\nlEqlxXU6BLdv3+7evTt+gm9t2Fw2aZTjS/iNXUGrNnrw8sQ8iqJwshmps7Qoo4iceWX3lfKC\nGqK9vLD81klTdO7D7Ie+/X2tOjaH3dhzNgGapg8ePCiVSvl8/vbt29tgx1Ziw4YNwcHBy5Yt\nW7x4cWvvBRllAABoEBCEAAB0SFQqFW5baaNDCJnF6jRfEG7atGnFihVlZWUNznz48OE333zD\nOFsqFIqUlJQGb+m4nD17FiFUXV199OjRuXPnDhgwoINmjzxx4kRwcPC9e/fabEe9Vk+WfMA1\nA5uAukyd/u8j52QKSZwkZoIw/05+dVU1nsDw4OYDPMFgMLA4Vj0nkFUQm3xg69FoNK+//jpF\nUf7+/h3REP3CCy8kJSWtX7+e9L5uJSCjDAAADQKCEACADglpFbQ+qYlZaF9t01ajWL169ZIl\nS0hpOnXq1CNHjuTk5FRXVz98+DAhIeGLL74gE3Viw+D58+ebs/VjTmRkJBnYmZKS0uGMhGq1\n2tXVddy4ce2WULQxSoErML7pkLpISWNdxmVj3B2TYrQ0r0YJCtpgzDBKUZRvP6Ml0Mx2XXiv\nkMNrxD8TXbXO7Eityr1792QymVgsPnbsWBts1+Gorq7GIb7gMgoAQF2AIAQAoEMiFotxW61W\nW3mX2UyJRNLkA0RHR3/88ce4GxgYePr06T179kyaNMnd3Z3H49nb2/fq1eu99967c+fOwoUL\nzepMnDp1qslbP/68/vrr+fn5p06deuuttwYOHLhhwwa5XG425/79+z/99NOVK1ceN+9ZrVbr\n4+MjFAoLCwsbnt08SNXE5rIFUtNrDolcwuZZ5YfJFXBxqhsHDweLcyROEoQQLljPYtf4Ntq5\n2QWOMg8EZci9kesRam0WXxLsucoVPvqMrWYMq6qqmjhxIofDWb9+fWvt0TFJTk5m3pcJhcKA\ngID2Pg4AAI8pIAgBAOiQkIKwutpat7qWEoRKpTIiIgJ3XVxczp07N3LkSIuT7e3tv//+e7NS\n5sePH2/a1h0FNpsdHh7+9ddfX7p0acmSJWZXaZoePnz4vHnzBgwY4OXltXjx4tTU1HY5J4lC\noXB1deXxeFlZWW2zI1ZNCCG9Vq8uN30/K4oqcPWI+uGKuAadURAKJAKLJk1GlWEH1MDRgaQ8\nc+7i7BHqQcYrihyM9VRUparO3Ttbc4y68pFqVY+UIb91bYZ6vf7DDz9ksVivvfZaq27UgcD+\noiEhIc10iAAAwIYBQQgAQIeE1HJkzXczCgsLo6Kixo0bFxAQIBKJnnvuOfIqqSobxXfffUfG\nDW7evNnZ2dniTIVCsXHjxokTJ8bExJBGwocPH9pkgTUr0ev1JSUlTDsnJycqKmrMmDHtaCrM\nyMiQSCQuLi6tZxUkHS9ZbBabS1j/mmc64wl5OOyQxWbhuoL+w/zxyoUphQadAUf6eYV5dQro\nhFdw6uLEYrN8+vngkT7/6cMXG/Vh+j9WVUnBGrIusPol4xJbPIiOpukdO3ZQFDVq1KiWXbnJ\nVFVVLV68+LXXXlMoFG28NWSUAQDAGkAQAgDQIfH29sbt3Nzc2hNUKlVERIS7u/vixYtPnDiR\nmpqqUqnMItkyMzObtvuePXtwe+DAgS+88ELtOUVFRTNmzPDw8Fi6dOmxY8du3bplVsJu4MCB\nBw8ebNoBOjocDuf3338PDw9ns426qKqqql0EYW5urkgk6tKlS4uknK0HncaUVsegN5DOoiwW\ni6z+J3WRylwbzluLqZGEptJoA2Rz2e4h7tQjRajT6P79379Mm2JRMldZwEiTAyFPxEMI+fT1\nwSNuPdy8ensx7YLUAmuOgQseko6vFsH2TESZQhaxgbGlKh+ePn2axWJNmzatRVZrDgsWLIiK\nitqxY0dkZGQbbw0ZZQAAsAYQhAAAdEjIeJiCggKzbDFZWVmhoaGRkZH1J7ecPHlyE4rL0TSd\nlpaGu+PGjas95++//w4JCfnll1/qqVBfVlb2wgsvLF++vLEHsA3Gjh176tSp/Pz8rVu3vv32\n20ePHjULs0QIHTp0aM6cOT/++GNBgVWapFFUVlY6ODh4eHiQaYFaA4sKh/QONegNZD3A8sLy\niqJGlNrDdj+eiFdVWsW0hXZCjUpDamymEj1iohO5bEYEMqT9k4YQqlCYNs26luXT38f6MzCf\ngmngvDJsLhsbAC1bAok3AFjW4kbzjYc0Te/du5eiqLfffruZSzWZ7du349LzbVwX3mAwJCcn\nM23IKAMAQH3QAAAAHZATJ06QP2VJSUn4Um5urp+fX+2fO6lUavERMzIyslFb5+Xlkbdv2bLF\nbMLx48ex4YukrnKFGzdubIG/iM1RXFyMy4SwWKyhQ4eePXu2pRbv2bOnlf8v2XxqVGKgkNix\niY7KdYF9NWWuMlkn43fM2c+5+9juFud7hHhM+3Zaj/E98Aiby57/63zPMJNccfRynLdvXjMP\nZrKCUqY0Ni1lAGwsFEW1/T+0rKws7Jc+bNgwrVbblrvfuXOH2ZrNZldWVrbl1gAAdCzAQggA\nQIekR48eZPfy5cu4PXv2bNKC5+XlFR0drVAoysrKyAoQmIiIiLi4uCafxMyudefOnZdffplM\n7DFx4sQTJ06Ul5crlUoXF5daC6CIiAj86AZg+Hw+jhQ1GAwXLlxokWQhH330EUVRN27caP5S\nVoItZgghRCO91vTdoFiUZy+TDBPZi6ytRE+oKuyByZfwcdoYob2wrMAY5mr2HsSukx1CqDjT\nFHmr1+rvXbxHjjzMeSh1kjp6OVp1mDrAQYNsDhvbD/FhTJGEbaIQaZpesmSJQCAwe6HTqiQk\nJDCuyHK5fPfu3W2c1gX7izIR1G25NQAAHQsQhAAAdEg6d+4cHByMuxcuXGAasbGxZALPsLCw\nq1evzp8/38nJKSMjIz8/H1/CD6bMk6L1Wzs7O5NP2NnZ2bhN0/S0adNwpCKbzf7uu+9iYmLG\njBkjkUiqq6st5r/RarXvv/++9Qd4QhCLxf/8888777zj4+PDjJCBo00gMTGRxWKtWbOmBQ5n\nHRyBBQFAOovSBvrBLVMh+KrSKmc/y9mJzMDBgRweB0cnCiQCLD4YQb6HAAAgAElEQVSFdsLK\nEmNUpIu/i11nO3yvxFmCECorNGVFQgglHklUKU2us7SBvnXylkewqeCElRXqySqIGKyBKYrC\nyhD7i2JzOvnPqpUqtldXV7u7uzfzi2Q948aNe/7553v27Pnbb795eDSlekdzwBllwF8UAID6\nAUEIAEBHZcKECbh96NAhpqQEWd1BIpEcPnwYG+X27duHL/F4vAULFuDuuXPnjhw5YuW+HA6H\ndEk9efIkbh84cAA/hCGE1q1b98Ybb5C71FXl/NixY6SwBBgCAwM3bdqUkZERFxe3d+/eQ4cO\nmU2gaXrx4sUhISFvvPHGyZMnmZJrtTEYDHK5vFevXnTb5q0xqxshdZHWnkMmm0EI5STmNGoL\nroiL5RZfysfxhEI7oarMKPAkTpLgp01vT3KSc1BNXYoQKsosIpPTIISSjyWryk0S0be/rzXn\nwR6hZqUOGci/P1aG+MykqZButWQzCKH79+9TFPXRRx+11IJ1IRQKDxw4kJycXFdNmlYFMsoA\nAGAlIAgBAOioTJo0CbeVSuWBAwfi4uJIV8CVK1fiLA4Gg2HHjh340qhRoyIjI8laEdu2bbN+\n62eeeQa3z58//9dffyGEaJomU9QMHjyYVKcGg6GeBDYGg+HXX3+1/gBPGr1793755Zft7OzM\nxpOTk6OiopKTkzdv3jx27NhOnTrt37/fbM6GDRvYbDauctGWmEksnAIUIURRVKdAU+EHikU1\nynMS6yWeyFRzgs1mY7Ob0E6ICwCK5WKd1iQ7H9x8oK5Qk6k+EaqR34Wh4E5BbpIpf69pfr1g\nfYstihZthhYx+3OZDVq82hzWrFlDUdQ333xT12uajk5iYiLTAAshAAD1A4IQAICOypAhQ/r3\n74+7y5cv37t3L+7yeLzZs2fj7g8//EDG6S1dulQikcycOROPxMbGMtE+WVlZiQQWI47MctnP\nmTNHqVSeP38e5/RjzkOGF27cuPHixYtm65B+cZcuXWr4MwM18fX19fLywt2SkpK1a9firkaj\n4XK57eKOW6PMID5PpSnlLE3TlcU1Cl30GNej1h0NQ66pUWnw7nyxyVoocZSUZJn0sEFvuPCT\n0cWazWN7hZn+gAgh7LOqrdbinKUIoYriRiQ+5fA52DpKsU3erdav0Ga8/fbbAoHg6aefPn3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m1XZtBQoLC/v06XPgwIH2PkjLQ9M09u1s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\nwpEjR1Z75x7k6uoaGxt74cKFu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"text/plain": [ "Plot with title “z == sinc(sqrt(x^2 + y^2))”" ] }, "metadata": { "image/png": { "height": 450, "width": 600 } }, "output_type": "display_data" } ], "source": [ "x <- seq(-10, 10, .3)\n", "y <- x\n", "rotsinc <- function(x,y)\n", "{\n", " sinc <- function(x) { y <- sin(x)/x ; y[is.na(y)] <- 1; y }\n", " sinc( sqrt(x^2+y^2) )\n", "}\n", "z <- outer(x, y, rotsinc)\n", "\n", "persp(x, y, z, theta = 30, phi = 30, expand = 0.5, col = \"lightgreen\",\n", " ltheta = 120, shade = 0.75, ticktype = \"detailed\",\n", " xlab = \"X\", ylab = \"Y\", zlab = \"Z\")\n", "title(main = expression(z == sinc(sqrt(x^2 + y^2))))" ] }, { "cell_type": "code", "execution_count": 15, "id": "1549075b", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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GHDhl199dUXXXRRNmYIkFgVlcfep1PUwY5dqbJ6Q8Nj7hOleCYVa/dMxHssUKXt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\nQmCC", "text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 450, "width": 600 } }, "output_type": "display_data" } ], "source": [ "x<-seq(-10,10,.3)\n", "y<-x\n", "z<-outer(x, y, rotsinc) # the rotsinc is defined in section 2.6\n", "image(x, y, z)" ] }, { "cell_type": "code", "execution_count": 16, "id": "2618a34c", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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lpwzJIKqapekiQpNze3X79+XjfHsCZNmsjb1dXVOs+KOTInx/yfHGbPnq1Mg+ec\nc86sWbN69+4tP5KZmXnhhRdeeOGFd99992OPPfbiiy82NDRIkrR9+/YBAwasW7euaVNe345j\n2QnAL0iDtnB0mYSUrOYxX07cxRPufF9BXMTC9Ovf0G+cmaViWI4CQDLKQKhnCF+UXYHw8OHD\njz76qLzbqlWrtWvXKtOgUrNmzf7617+OGzdOfmTDhg1/+ctfzN0ahhAIAV9wNA2aXnE+QAsM\nOpQ0whr/knL6Gw9WMjT9i+D0QoVkQgDalFlu//79Os86cOCk9y5lqjTkhRdeUM4QM2vWrJYt\nW2qfMm3atPPPP1/e/fOf/6xn5CEsIhACHjOx8LQ7gwYDEQWdyBViJkBtzuXDACVD05nQaKnQ\n2PXJhAAS69Chg7y9a9cunWfFHNmuXTtzd1+4cKG8fckll9x4441JT2nUqNH06dPl3bKysvff\nf9/c3aEfYwgBL/mzm2hQoqCdV3Mr+xkdKmaO0deJUfLTZePIw+gP1OevPSujCp0bUsh4QgCJ\ndO7cWd7eu3dvbW2tnrlGS0pK5O1WrVrFrFOvUyQS2b59u7w7YMAAnSf269cvNTU1OpJQkqRt\n27aZuDsMIRACnvFhYdDnH8ejbIyCzuVAd4KfibvbmxWVT6At4TAosdDpmWZMZEKJ5SgAxFEG\nwkgksmXLlgsuuCDpWVu2bJG3zznnHHO33rNnj7K3p/7JVLOzs1u2bCnPOKpMlXAIgRDwBmnQ\nKLtyoO0h0NvsZ5Rqa21JiTaGQ//PSupCqdDcKoVkQgBK5513nnL3008/1RMIP/30U3m7S5cu\ntrQkNdXAOLWUlBTVbTiEMYSAB0iDhtgyxsyu8W+pjZvFfFm8oB/Y/k3Z9Wz7fHihCzPNMKQQ\ngBVt27ZVJsB169YlPeX777/fs2ePvKu/q2eMli1bKrPczp07dZ5YU1NTVlYm77Zt29ZcA6Af\ngRBwm3Np0Nxsor6dStSW6UasJ5PwxT897PqWbUmGfo6FZEIAPjdo0CB5+6233kq6GuHixYvl\n7czMzP79+5u7b3p6eqdOneTd1atX6zxx7dq19fX18q6y1yscQiAUxW9/+9sU43r16uV1w8PG\n0TRovDk+LQx6ngPdTIApjZpa/3K0hbZEYuvJ0LfzkZr7kwqZEIA7rr/+enn78OHDb775psbB\nDQ0NCxYskHf79u1rZVX66667Tt7+17/+9d577yU9paGhYerUqfJuRkbGwIEDTUlSzJ8AACAA\nSURBVDcAOjGGUBQMyfUD0mBS1nOgldOdiH/ujOlKehcbE4L8LJkbeRj9GVkZZJiS3cKHL10T\nM804Pc0M4wkFsaNW+g+9qwnAsIoGr1tg2eWXX37RRRd99tln0d0JEybccMMNWVlZqge/+OKL\nmzdvlnfHjh2b6LLFxcWHDp34X6Bly5bxq1Pcdtttf/rTn+Tdu+++e8OGDaeccopGa2fOnPnx\nxx/Lu4MHD27alLcyxxEIRcGkvZ7zVRr04edpr6KgjSHQz5+/VdtmMSUqnzqj4dDiwhX+nIzU\n9OyjZEJY0SBJR4IfWuCoSZMmycW6oqKi0aNHz507N36Wl/Xr148fP17eveyyy/r165fomuPH\nj1+0aJG8O27cuBkzZsQcc9FFF91www1Lly6N7u7cuXPgwIEvv/yycul52bFjx2bOnDl58mT5\nkbS0NOWahHAOXUaFUF9fX1RU5HUrhEYa1GClH6DpjojWe4S63G/TCTZ+C6afTyv9SH3YidTp\n7qP0HQVgwuDBg5UdL+fPn3/TTTft2LFDfqS2tvbll1/u06dPefnxN42MjIxnnnnG+q2feeaZ\nFi1OvEt/+umnPXr0+K//+q8NGzZEIpHog2VlZYsWLerWrdv48eNramrkg8ePH2/XHKfQRoVQ\nCDt37qytrY1up6SkLFiwQOfkv+aWIkUM0qAGK1HQxFkWE6Dpc4Mi5ns0ESfMdSi1XjD01Qvb\nXPdRh+qECL3TM6UJzMLomHEl0pH65If532uvvdarVy85BC5dunT58uVdu3bt2LHjgQMHNmzY\nsH//fuXxzz///CWXXGL9vmecccZbb73Vr18/eTKbY8eOzZgxY8aMGRkZGaeeemplZWVlZWX8\nibfccssf/vAH6w2AHgRCISgHEObn5w8fPtzDxojGP2nQV5+YJXejoPmpULwLgamNmih3G2pU\n/r90mvLbN/pKtpIMTcRCv3Ui9U8mpONo6GWnSj2zvW5EeGWEZQ285s2br1ixYsiQIfIYorq6\nusLCwsLCwpgjU1NTp06dOmrUKLtuffnll3/88cc333yzsiYpSdKxY8dKS0vjj09JSfnd7343\nbdo0ViB0DYFQCMoBhD/72c88bIloHEqDQS8MuhYFzeVAhz49xwQ8d063MUaaDocmkmE4YqGJ\nxevJhACcc+655xYWFj7wwAOvvPJKQ4P6wNMOHTrMmzevT58+9t66R48ehYWFzzzzzF/+8hfl\nVDTx+vXrN3ny5F/84hf2NgDaCIRCIBB6gjQYz1wUdCEH2vtx2WL2s5FqS6ynRPnpMpEMBYyF\nZEIAPpGbm7tgwYLHH398/vz5a9asKSkp2bVrV25ubvv27bt06XLHHXcMGDBA56iihQsXLly4\nUP+tTznllGnTpj3yyCMrV65cvXr1559/Xlpaun///qysrJYtW5555pl9+/a99tpru3btavab\ng3kEQiEou4yeddZZHrYEiZAG1U9xOAra8hHZP/FPp/gGm46IJpKh0YKhlVjokxc/mRCAr+Tn\n50+cOHHixInu3zo3N/eWW2655ZZb3L81NBAIhUCF0H2GKiehT4NOR0GXc2DgEmBS1scrmuhQ\naqhgaC4W+qdUSCYEAPgWgVAIylG8BEIXkAZlTvcRNRQFTX8UDl8C1Kb8fq2EQz2/CIYKhqZj\noR9+F8iEAAB/IhCG348//ijP55uamnrmmWd6257QIw3KHC0MOh0F3Q6BmaZmCaw9anc7YlkJ\nh9Gn3faCoYlY6JNSIZkQAOBDBMLwU/YXzc/Pb9SoUXV19eLFi999993PP/+8rKzs2LFjrVu3\nbteuXe/eva+99torrrjCw9YGnR/SoOefeiXfREEf5UBzec+Wy9oXGs2FQxMFwxDHQjIhAMBv\nCIThFzOjzP/8z/+MHz++rKxMeUxxcXFxcfEnn3zy3//93z179nziiScGDBjgeksDjzQYZTQN\n+iEK2pkDHcp+psW3x46IKD9jRpOhH2IhmVAiEwIAfkIgDD9lhfCjjz5as2aN9vHr168fOHDg\nmDFjnnrqqbS0NIdbFx6kQckHUdCbHOi3BJiUrRHRaDLUXzA0FAsDlwklI78vDmVChENdRCqv\n97oR4dUQ8boFgPMIhOGnrBDW1dUp/yk9Pb1p06aHDh2KX5905syZu3btWrRokQst3LNnz65d\nu2y/bGlpqe3XtAVp8Pjx+j7gOhEFrebAwCXApGK+I1P50FwytCsWGi0VBq77qBOZkCJhOGyr\nkfpu9boRAIKMQBh+ygph1DnnnPPggw8OGTLktNNOS0lJaWho2LJlyzvvvPPss8/u3r1bPmzx\n4sXdu3d/9NFHHW3ehx9+eM0119TW1jp3iy///b1zF4/SXx4MZRoMShS0lAPDFwI1KL9Z4+HQ\nUDL0PBaGMhMaaACZEACEl+p1A+A4ZYVQkqSHH374q6++Gj16dPv27VNSUiRJSk1NPffcc8eN\nG7dt27bhw4crD540aVJxcbGjzfvggw8cTYOSJG3dvjv5QRbYngYNNyB0aTC1cTM9aTClUVM9\nn2VTGzWJfulqn1Jm9okvYVl4EvQ/7Xp/lDpfGEZSU0p2C3OLo9jF0O+vzqxr6K3GUHd3AED4\nUCEMuQMHDhw8eFDenTp16qRJkxIdnJWV9be//W3//v0rV66MPlJbWzt9+vSXXnrJuRb++te/\nfvfdd5UrJdqlvLy8vr5ekqS8U3Nsv7jMic9ShsqDAUqDOqOgrkvpq2mYLAmKHP+0yc+MkbKh\n/oKh/mphyEqFTtQJGUwojrOypBdZYNgxQzdKh+qSHwYEGoEw5Jo2bVpSUhLdTklJadeuXdJT\n/vSnP61evVqu2i1cuPCFF17IyMhwqIVnnHHGF1984cSVe/To8eWXX0qSlJnp1Ovc84lkPPwI\n61BhMPl1nIuCfsuB6Wq/dHXHXG+HGgvJ0JZYqL8HaVAyoSG2Z0I6jgZaZoqU38jrRoQXXekg\nAl7nIZeenn7aT/SkQUmSfvaznz300EPybkVFxccff+xYA0UhchpMyWqe9MOrnq6AhjqI6m+e\nq51C0zMMfDl0BXsZf/Z0/oD0/Lh1vWx0vPxOHOxd31Gjv8629x2l4ygACItACBU333yzcteh\nCl7QeTuRTIDSYNJjbImChgcKOpoDPUxoSZvhEIPPp72xMPl1jGRCr2IhmRAA4Am6jEJFjx49\n0tPT5TUq9u7d6217fIg0mPxIm6Jg8osYrQfazv2kZ4XTPVGjz7C+rqT6O5Fa70EaiO6jRtes\nt78B9B0FAPFQIYSKtLS05s1PfJrfv3+/h40RQSDSoKHKiTtp0ExJ0C4e1v2cYPv3YqRgqOfn\naEupMBDdRz2fdBQAIBoCIdRlZmbK282aMVXdSTxfZ8J99nYTTTr0S2cfUb0NsjEKhikEqrI9\n6LobC3WOKtTTHknUTEjHUQAQDYEQ6vbtO/GJpHXr1h62xG8E7CxqqDCoJw1qXUH3cEFdDbIr\nCoY+B6qy8bu2OxYmuYitmdCTWEgmBAC4hjGEYbZz584xY8bIu7///e+7deum58StW7dWV1fL\nu507d7a/ccFEGtQ60loUlPT1EdXVFLtCIKKUT4WV0Ya6hxcmHVuYdGmKpKMKDS1U6MmQQicW\nJwQASZJKS0uXLFmybNmyoqKikpKS3Nzc9u3bd+/e/dZbb+3Tp09aWprTDSgrK/v73/++Zs2a\n4uLioqKitLS0Vq1aXXzxxYMGDbr55pudW+oMiRAIw6xt27YrV648evT4x69TTjnl5Zdf1nPi\n8uXL5e20tLS+ffs60j7hkQZPnO6fKEgO1CY/P6aToZFYqD3fjJ7JZuyaacb/mVAPViYEBFdV\nVTVlypSZM2fKEwdGHywtLS0sLJw7d27nzp3nzJlz5ZVXOtSAffv2/ed//uc//vEPeb3rqPLy\n8m3btr366quPPfbYs88+e8MNNzjUAKgiEIZZenr6VVdd9e6770Z3Fy5c+PTTTycdEFhaWvr4\n44/Lu1dcccUpp5ziYCuDw97yIGnwxOm2pEGLUZAcaJTFZKgvFtpSKgx0JtSP1eqFVRuRdtZ4\n3YjwavC6ATYqLi7u37//d999p3HM1q1be/fuPXny5MmTJ9vegDVr1gwfPvzHH3/UOKa4uPjG\nG2987LHHpk+fbnsDkAiBMOR+9atfyYHw6NGjd95559KlS1NTtcaOjh079tChE5+fxo8f72wT\nA0K0iWTsSoMBKAwSBS2KPoFex8KwZkI6jiKpbVXS1V973Qj43u7du6+++urt27fHPJ6bm3v0\n6NH6+nr5kUgkMmXKlOzs7EceecTGBhQUFAwePFh5o6imTZuWl8e+gT/xxBMtWrR4+OGHbWwA\nNDCpTMjdcccd5513nry7bNmyBx54oKZG/W+JZWVlt99++yuvvCI/8otf/GLgwIGOt1I8Pi8P\n6vwAmnQKGZcKg+bSoJjzxDjHypOp74eo/XrQno4o+cS2Pp561PYJZphdBhDQyJEjlWnw9NNP\nnz17dllZWXl5eVVV1RdffDFs2DDl8Y8++uj69evtuvvmzZtvueUWZRocPHjw+++/f+TIkcOH\nD+/bt6+goOCiiy6KacDmzZvtagC0EQhDLj09/c9//nNKSor8yKxZszp37vzSSy999913x44d\n/6P+jh07nnvuuS5durz22mvykXl5ecpwKDKhOovqT4PaB1hJg7rmEbUYBeEEKzFbxw806Qsj\n6aIUWueGJRPqQSYEhFJQULBq1Sp5t3v37p9//vk999zTokULSZIyMjJ69uz56quvzpo1S+5E\nFolElBMTWhGJRG677bbDhw9Hd9PS0l544YUVK1b069cvJydHkqS8vLwBAwZ88sknjz76qHzW\nsWPH7C1RQgNdRsPv6quvnjNnzm9+85tIJBJ95IcffrjnnnuknxagP3z4cMzQXkmScnJy/vGP\nf3To0MHt5gaZ7Z1FQ5kGbSgMmu4gSg50jel+pJnZenqQOtR9VP/Uo37uO2r7YEL43Pm50vu9\nvG5EeJ2/Ttof+xEpeMaNGydv5+TkvP32261atYo/7N577920adNzzz0X3V27du2yZcuGDBli\n8e5vvvnmV199Je8+8cQTo0ePjj8sNTX1iSee+Pzzzz/44IPoIytXrty5c2d+fr7FBiApKoRC\nGDly5Lx586J/hlGqr68vKyuLT4Onn376xx9/3KdPH7ca6Gv2/oFcf3kwoGlQu2+ePYVBo3ze\nO7TumA1f/mTuabdcKkzafVT74jpLhV4tW6+HoW4Iya9GkRAIsvXr13/zzTfy7sSJEzUi1vTp\n01u2bCnvzps3z+LdI5HI1KlT5d3LLrtMmU5jpKam/uUvf5F3GxoalixZYrEB0INAKIo777xz\n69atI0aM0F5eJjc3d9KkSRs2bOjatatrbfMzDzuLusyuNKh1brI0mOTe5vqI+iEHupDl/JwV\nnYyFGv8avkzo4WBCAMH1+uuvy9uZmZkjR47UODgnJ2f48OHybkFBQWWl1vI/Sf3rX//asGGD\nvDthwgTtqQ27dOminPzik08+sXJ36ESXUYG0bdt2wYIFzzzzzIoVK1asWLFjx44ff/xx//79\nzZs3b926ddeuXQcNGnTttdcmXZcC8YLeWdTbNOjUqhIeRkE/xDBZfGM8eWbMdSJN1oPUdPdR\nu6YedbnvqO0rE+q9L0tQAIH1xhtvyNuDBg3Ky8vTPn748OEzZ86MbldVVa1cufLmm282ffcV\nK1bI2506dbr22muTnvL000/L89lERznCaQRC4bRo0eKuu+666667vG5IAAjSWdTvaTAQUdBX\nCTApZWtdfq5MxEIdmVBKvCiFdiaUNP+aE/RMqGcwIcsSAuFWWlqqXHiwd+/eSU/p1q1bs2bN\n5BXI1q5dayUQLl++XN4eNGiQcprDRK655pprrrnG9B1hAl1GAasC3VnU6TSYZDSX7WnQ5bGC\n/umWaZonnUuN/pisdR91YepRP48nTIqOo0CIbdy4Ubl76aWXJj0lJSXl4osvlnetrP1QUlKi\nPL1fv36mLwVHEQgBdTrLg4HuLOpCGtQ6UTsNGh0x6GYUDEEOVOV+LDTEWiY0PaTQh0u963+X\nYHYZQHDffvutcvf888/Xc5byMCuBMObcn//856YvBUcRCAEVInQW9TANJp9N1J9R0OUcWHtU\n/ctpbtYM7S4VOjTNjJ5M6NsiIbPLACJTVgjz8vKys3X996qchrSkpOTIkSPm7r5161Z5Ozs7\nu23btuauA6cxhhAwz97Oou6vM5GUQ2kwyV2NpkGn2Z6LLIY6PaebXqoxhvy9O/o8p2fYOKrQ\nuWlmknJzMCGzywDQY+/evfJ2+/btdZ4Vc+Tu3bvPPvtsE3dXBsJOnTrJAwi3b9++ZMmSVatW\nlZSU7N69Oysrq02bNl27dr3++uuvv/76pk15k3EbgRCIJUK3KD0fJUVPg3blQBdqenpuajEi\nOp0MjU42kywTSmanmUmUCX04wYxXs8sACJCKigp5W/+Mnc2bn/SOYXrliR9++EHejs5uevjw\n4UceeWTOnDnKw6qrqw8ePLhp06bFixfn5eVNmDDhwQcfTE8npLiH5xowKbjlQeuFBUfSYJii\noCchUJuySVbCYfTJcS4W2pQJJc1SYWgyoX42ZkKKhH5TXS99bbJDH5Krbzi+UVVVJa+FYKN2\n7do52pFSGQizsrJ0nhVzpOlAqLx7kyZNioqKrrzyyp07d2qcsn///jFjxixfvvz111+PyaVw\nDoEQOEnoy4PWhw6GOQ1aiYI+DIGJyE01nQydi4WGSoXR9pvqPupoJnSNVx1H4SvbjkoDP/e6\nEQLYvHmzE3OiZGZmrlq1qk+fPrZfOUoZyRo3bqzzLLsC4dGjJ96fKysr+/fvH5MGGzVqlJWV\nJS9xIfvwww979+79ySefNGmiY6ViWMakMoAZAS0PBj4NOjd/jOk5VCzM9dJQU2nvl/nGm0uz\nzk08Y3SmmcRML0eR8CyfTTBj74yjOkdRhv4PZ4BramtrP/jgA+euX1VVJW9nZmbqPCsj46Q3\nYdOBUHniP//5z23btkW327dvP2fOnJKSkmhn0erq6jVr1gwePFh57oYNG37zm9+Yuy+MokII\nnGDjpxwfpkGdfJ0GnWAi0hiPT2bSmnGqd0k+bjPKdNnQoWqh0VKhrXVC7Qlm9NQJ/dlxFGGV\nfKlvmBX5aSMtLc32yU7S09M7deo0cuRIey+rpKwKHjum9/+72tpa5a7p4XzKCmFUSkrKPffc\n8+STTyqfzEaNGvXt27dv374vvfTSmDFj5Bi5cOHC++6774orrjB3d+hHIAQMC+gU7dYnkkl4\nVkDToJNR0J0EqIeyJbrCoblk6FwsdDgTJjwlOJOOejK7DCMJ/eOCZtIH/b1uRHidu0zaVyNJ\nktS1a9fCwkKvm2OYsstldXW1zrNijszJyTF395hKoyRJ99133wsvvJDo+FGjRqWkpIwaNUp+\nZNq0ae+//765u0M/AiFwXLjLg85NJON4GvRDFHQ4B1p57Rn6UG4sHJpIhk7EQoczIYMJAYSY\nMhDW1NToPMuuQBiz7GH79u3/+Mc/ap8ycuTIv/71r1999VV094MPPti/f390hlI4hzGEgDFB\nLA86N3QweGnQ6LA3HePrDI3ii9SUx38ZaI99FzQw8tDoIEPbBxbqfxmYGk9obsF6vw0m1ImR\nhIBQlFlu//79Os86cOCkNwrTM7vEnDh16tTc3FztU1JTU8ePHy/vNjQ0rF692tzdoR8VQsBm\nPiwP6mFu6GDCU3yYBu2uCuosBnryoTnmptpVRPkbSfJTiz4hOn92tpcKA1sn9GHHUQDi6NCh\ng7y9a9cunWfFHNmuXTtzd48JhIMGDdJzVteuXZW7W7ZsMXd36EcgBCRJ96f2sJYH7Z1IJvBp\nUDMK6iwDGrid5ddV0sSuMx/qSoYexkL908zYnQkt8tsEM4wkBMTRuXNneXvv3r21tbV65hot\nKSmRt1u1amV6PcDTTz9d3s7Ozm7Tpo2eszp16pSWllZfXx/dLS0tNXd36EcgBOwU0PKgCYFJ\ng/qjoLWSoId/U1C9psanebmp5pOh0Vjofqkw2bL1qkxMOuqrwYQUCQHEUAbCSCSyZcuWCy64\nIOlZyqLcOeecY/ruynP19zvNzMxs27atHEr1D32EaYwhBDz4KO+ruWRsHDoY1DSYbIycxli7\npMP2GqoPKb90tccOem6adNhhkkGG+scW2juqUOcrJPHrzcTihCEbTGjjSEIAfnbeeecpdz/9\n9FM9ZykP69Kli+m7KwPhgQMHIpGIxsFKyqXqW7dubboB0IkKIWAb/xQKolxOg0m4nAZtKgxq\nxCHtEKjz5ja+ZjR+lMr2JPqxRr8d1R9u9EmwWi20vfuotTqhvQtR+KdO6H6RkF6jgJ+1bdv2\nggsu2LBhQ3R33bp1d999t/Yp33///Z49e+TdAQMGmL57z5495c6f9fX1X3/9dbdu3ZKetXPn\nzoqKCnn3tNNOM90A6ESFEKILcXkwKfcmkvFnGtQscCUqjmmU1JJX5KoOxHzpaqc+Oi+uXTl0\nvFpoY6nQsTqhQ/EmiEVCACGgnMrlrbfeSroa4eLFi+XtzMzM/v3NL3OZl5d31VVXqV5Zw7Jl\ny5S7yivAIQRCwB5++3Tl0KdPM51FfZsGE9COgirHa+QrI/EvcnSf0a8kF9QdDlW/U/VvNmks\nTMroyh8aXM+Egeg4auOfnFh/AgiB66+/Xt4+fPjwm2++qXFwQ0PDggUL5N2+ffuaXoQwaujQ\nofL2zJkzt23bpn38oUOHpk2bJu/m5+db6bMKnegyCqGFdXJRHw0d9GEa1IyCqo8nLJoleGFo\nZz8bP6+rXkr1p69sUvyPPvqNxP/cE/Uj1epEqr8HqS0/dP3LURgU9Alm9NAz3Sj8r6JO+miv\n140Ir9oGr1tg2eWXX37RRRd99tln0d0JEybccMMNWVlZqge/+OKLmzdvlnfHjh2b6LLFxcXK\nkX4tW7ZUXZ1i2LBhkyZNii6BWFNTc//9969atSolJSXRZX/3u98ppxV98MEHE35jsA+BEHCV\nf/qLJmKis2hCbqZBa4VBQ1HQRA40+nOPHN2T6J9SspNM2x1zr/h8KLczJgzI31fMa0AjFmoN\nLPRVJrR1MKEV7ixBYeNIQtaf8L/vK6Sb1nrdCPjbpEmTrrvuuuh2UVHR6NGj586dm5oa209w\n/fr1ykXhL7vssn79+iW65vjx4xctWiTvjhs3bsaMGfGHNWvWbNKkSQ899FB097333rvmmmsW\nLFgQvwTF0aNHx44dO3v2bPmRVq1a3X///bq+Q1hDl1HABr4qC1gsDyY8xdzMokm5lgYTD3LT\n30FUvYNlgm6ZSft2Ro7uSfSl8X0YPUujGYlartGPNPZIjR6kekYVutl31DcdR33FV+9dABwy\nePDggQMHyrvz58+/6aabduzYIT9SW1v78ssv9+nTp7z8+Pt8RkbGM888Y8vd77vvPuVaF++9\n917Xrl1nz569d+/x0vaRI0f+8Y9/9OjRQ5kGU1NT58+fn52t7y/LsIYKIcQl7HQy/uosap2F\nbqKJoqDKkQmGCKo8mPinrJ30rIu5fnwtUW5bzF8Not+IasFQT7UwSQ9S7VeCvasUajNeJzTR\ncTSpsBYJ4ZUUSUrjz/uOqQt+l9Go1157rVevXnIIXLp06fLly7t27dqxY8cDBw5s2LAh2qtT\n9vzzz19yySW23DojI2PZsmUXX3yx3Be0rKzsvvvuu++++3Jzc9PT0w8ePBh/1h//+Mdrr73W\nlgYgKQIhYJWv/sTu5kyGvhg6aGsa1BkFDeXApCEwUlmkfYAeKU06at86JhyqJkNDsdBAD1I9\nmVCy/GJwcsF6QwI3ktAu9Br1ygUtpH8OTX4YzOn8N2lfldeNsEPz5s1XrFgxZMgQeVqXurq6\nwsLCwsLCmCNTU1OnTp06atQoG+/esWPHFStW3HjjjfJy81FHjhyJPzgzM3POnDkjRoywsQHQ\nxt+UAJeErzxolQtpMEGvRdWOjno6iGp0DY17UL0bZ6SyKOYrybegT9LLJmxPXONV+5GqPBUJ\nepCqt8+dFSmsvaJs7DialK+WoBAzvgICOvfccwsLC0eMGBE/elDWoUOH1atX//73v7f97r16\n9dqwYcOdd96pcXdJkn75y19+9dVXpEGXUSGEoEI5v6iVT5ludxZ1Jw2q0RkFY49Ry4HxF1et\nByZNfZHK2D/QGpLSpIf2TZX1Q7mFypph9HtJ2o80vutgfFEoYfdRd6aZ8ccEMz4pEtJrFECM\n3NzcBQsWPP744/Pnz1+zZk1JScmuXbtyc3Pbt2/fpUuXO+64Y8CAAdqBTbZw4cKFCxcaunuz\nZs3mz5//xBNPLF68+N133925c+fu3bvr6uratGnToUOHAQMG/Md//Me5555r6juDJQRCwBI/\nfOzTz64ZLwRPg6r1wPh7JcqBFuNf0gvG50O5JdrJMFE/0phMKJ3854NEowrVM6GU7BXizpBC\ngx1HgzuSUCe71p+g1ygQCPn5+RMnTpw4caInd2/Xrt3DDz/88MMPe3J3qCIQAgkFazoZN8uD\nlniUBvXMH2NLFFTNgUlCoMoYCt1yk9xLmQ81kqFGwVC1VCjFxUJdmVByfpoZaysTGp1dJpHw\nFQkBAGFFIISIDH2wCw2/lActsikNJi0MGo2CxnKglQSY9FInR0S5DfHJMGks1J5yJqYbYcAy\noU2zy4SmSJgUvUYBIKwIhIB5OisAPv/MZ1t50IXOos6kQaOFwaRRUD0HaobAhgqtf00kNUft\nUeWNFOEwPhnGFwxjYmH82ML4HqTa3UctDSm0wkKdMGRFQp1s7DVq/SIAADcRCAF1IZtOxo3y\noOfsSINWoqChHGguASa9SGxElO8elww1CobxsdDoqEK9Qwo1MqELgwltml3G50VCeo0CALQR\nCCEc/oCtFJ7yoMNp0HAUVMuB2iEwYvyFmRL3U1Le4qRwGJcM9cTCRKVCzI15AQAAIABJREFU\n27qPOpoJHeg4Gu4iYVL0GgWAUCIQAib5p7+o7eVBw0tNhC4NahQGk0TBuByYKASaiH96LqKM\niPKtVZLhybFQOrkfqc4epEm7jwYjEybgWpHQP+zqNSrV1dpwEQCAWwiEgLgC88d+h9OgucKg\niSioHQIbDEbEVLXYrryFHA5VkqFawTBmbKGeHqT2ZEJtTvcd9bpISK9RWHSoRnp7h9eNCK+a\neq9bADiPQAioCNAf+137nOdZedAfaVCrMHhyFNSfA40mwKSnx0RE+b4xyTBRwTCmE6l2D9JE\n3UeTZkIVjk46SpEQYffDEen/ve91IwAEGYEQYrFrAKF/+osmZVd/UfNcWGdcwXQa1NlNVKMw\nGBMFVXOgdghsMBIoUuPqu8qLK8NhtCVJYmGCsYUxPUj1zDSjnQnNdBx1mgBFQrswjBAAwodA\nCAjK0Kc6zyYXNV4ejGEiDZooDCaNgqo50FD803O6MiLKd5STYUzBMDYWxo0t9FcmpEhojc5e\no7YNI4SL0lKlpo28bkR4HaqWIhGvGwE4jEAIxPLtR7p4rk0nk1DSqo6nnUVtTIPmomB8Dkwa\nAuv1zUmZpvaDlS8enwwTFQw1YqGyVKjsPqocUqgxzUzA6oQ2rVMPuO+8ltLau7xuRHid9Rdp\nH+8NCLtUrxsABE+A+osmEozyoAb/pcFI+UlpsKH8pDTYcOj4V4z6A7FfOmmfGH+7aHuUTVI2\nuKHi5GSr+B6V3/tJz4nyuVI+h4rnNnYe15ifiO7K23Fmq3ySZH+/ZaN/Okn6p5kATfoSoD+Z\nAQD0IBBCIKxAqC1I5cE4bqTBIyeSkjJB6YmCSknjX93+JF+qDCXDE9+dsqnOZ8IYKplQu0xn\nJRMmleD1bOgPIiEYXxemhRMBAHrQZRQIKtv7i/qI5aGDSqbToM7C4InHY/qLxuVAVYkCnob4\nU9Lz1G8k9yyNNkbuStpQHju2UKUH6cndR5MOKUxE2XfUnklHzbEwklCV0allPMfiEwAAVVQI\nAeHY01/U0fKgQRrlwUQVKnvToHZVML5wl7TcJ0nSkSPqX6oSXS3m1sqGGS0VJq0TJioSxvCy\n46hZtvSaDlOvUQBAmFAhBE6SdHhMWPtT2b/ahGkGy4PanUVP+ie1n53+NKinMKhdFUwU/xLF\nPJ0H5+ae2FbeQi4bRpuhWi1UTjkTUyo8aaYZfXXCRGvWG16c0KsioR1Ty/h5rlEAAOJRIYQo\nXO7c5fSMMu70F7W0GL0TDKbBpJ1FbUyD2lXB+PJd0qKffokuFXPT+GrhiW21UuFJM80kqxOe\neND4YMJAFAlV+ejPKPrY9b5E4gWAMKFCCIjFpUkvTPcXte+zvs4F6I8/aDwNJioMalcFE8W/\n8gr1x7U1zYl9JHr9+JqhslqYqFSoHFWYEp90NOuEGusTqkq+CoXPioSGFiRMJCgr1LMaIQD3\nffTRR9u2bZMkqW3btoMGDfK6OWIhEAIISKHDQmfRE8eoDR1UrXRZT4N6oqC5HKh6ujIcyveS\nk6EyFsb3INXIhEn7jspUJ5jR6DhqiZV16p1Hr1EAflZaWrpkyZJly5YVFRWVlJTk5ua2b9++\ne/fut956a58+fdLS0txv0saNG6+99tqqqipJknr37k0gdBmBEIA6D/qLOl8ePPGgorPoiQeV\nK0xEr6M7DWoUBuOjoHYOTJoS4wuDyrNikmFMtTBRqVB1SKGeTGh6MKFnRUJbBW6uUQAiq6qq\nmjJlysyZM+vq6pQPlpaWFhYWzp07t3PnznPmzLnyyivdbFVtbe2wYcOiaRCeIBACJ4RmRplE\n3b383l9Ug9nyoJmhg9bSoIkoaLROGHN8TD6M/qv8YEwn0kSlQjkTSopSoXom/IlqJjzxr04v\ncmC6SOhpr1HAdmWV0p/+z+tGhFeVX8Ys26C4uLh///7fffedxjFbt27t3bv35MmTJ0+e7FrD\nHnvssX//+9+u3Q7xCISA/TyfUUZwqsFe79BBtY6d8WlQTzfRmDQYn/qS5sDDFdIpasXARNdR\nJsOksTC+VKg3E/5UJFRSHUx44l9DXSQ0xPNhhHYFdTs7AMOaHyukKR953Qj43u7du6+++urt\n27fHPJ6bm3v06NH6+nr5kUgkMmXKlOzs7EceecSFhq1Zs2bmzJku3AgamGUUQqBPlwa/DCDU\nKNoYKQ/q7yyqPnRQvs5PKUtnGlRO6Rkz4Wd5xUnZL7obnwYPV8R+qT6o/NcY8ZeNeUTZqpgJ\nSOO/Nfn7Vc47+tOFfvon5Rw8P1FdmdARvpluNF7Qw1JQekMA0GnkyJHKNHj66afPnj27rKys\nvLy8qqrqiy++GDZsmPL4Rx99dP369U636sCBA3feeWckEnH6RtBGhVBEPhxMDL8JxHr0+mkn\nE43Ooqo9RWXKNCiLiYJKqiVB1Winh/LEUxLXBqOPKEuF+uuE8eLrhNodR2UhLhIyjBDeykiT\nWunoSgBzfiyXGoKfVgoKClatWiXvdu/efdWqVa1atYruZmRk9OzZ89VXX73iiivuv//+hoYG\nSZIikciYMWM++sjZ6vOoUaN27drl6C2gB4FQLP4cTAx7iTZfvJ7RgycejCsPqta4NMSPGzSd\nBpNGwUOVuZIkNWuSfKXC6KU0YqFyV9l9VDsTxncc1Ul1dhkfYRghQqRLK+lfD3jdiPDq9IRU\nFvxf+nHjxsnbOTk5b7/9tpwGle69995NmzY999xz0d21a9cuW7ZsyJAhDrVq3rx5b7zxhkMX\nhyF0GRVIcXFxt27dnnrqKWUajBEdTDx16lQ3GwZ3BLUPW7L+oif9k+7Rgyp0lAcTzSl6/AIJ\n0mBMv02NPp+HKnOVX6oPxvyrUvxlNUKp3NqY5TGi5O/UUMdR7V64idapp7wGAM5Zv379N998\nI+9OnDgxPz8/0cHTp09v2bKlvDtv3jyHWrV9+/bf/va30e2mTZtecsklDt0IehAIRREdTBw/\ntVRubm5MH9HoYOIZM2a42DpfCMq6YfbWWwIwgNAUw+VBs2lQOW5QFpMGleJzoHbG05DoxJhY\nGD+CURafCVWDrkVGRxKqBH61Yt1xARxGKFoNH4C3Xn/9dXk7MzNz5MiRGgfn5OQMHz5c3i0o\nKKistL9CWldXd8cdd1RUHP8P6bnnnuvYsaPtd4F+BEJR+HMwcbDonGXB8Yk0nBegAYSJppM5\ncYCTPw5DaTC+fGciBCaiJxaqbsviM6HFIqH6So9MVaKDHzvZAggsZbfMQYMG5eXlaRwsSZIy\nEFZVVa1cudL2Jv3hD3/4v/87vljKDTfccOedd9p+CxhCIBRC/GDizz///J577mnRooWkGEw8\na9as1NTjL4noYGJvmgskZnoEV3w+sVgeVO1pqZEGY2hEwYO1zbW/Ep2oHS9V2xa/UqKkmQnN\nUY3lfu81amQmG79U2gHgZKWlpcreYb179056Srdu3Zo1O9HBYe3atfY26ZNPPpk+fXp0u02b\nNi+99JK914cJBEIh6B9M/MADJ0amRwcTu9E+CM7IghN6aJehtMe5mSBnKp1pULUwqCfvxR8c\n/0/xdUIl1dqg9mDCGNaLhHoY6zVqjtlqdsL6eXDoLJsnLecGpZs9ILKNGzcqdy+99NKkp6Sk\npFx88cXy7ubNm21sz5EjR+644w552cO5c+dGixPwFoEw/Pw5mBgOEWp4kkNlJUPlQdUKm3Ya\njDlYZwhUpXpuTOBMlAl1DiZssPszv/29Rn08jBAAvPXtt98qd88//3w9ZykPszcQPvDAAzt2\n7Ihu33vvvYMGDbLx4jCNQBh+PhxMDPe5McWopysQag8gNDSdjDl61hhUTYOW7vrTRVRjYaJm\nyFTbnIjWSEIdAtlrFAACTlkhzMvLy87W1RleWTkoKSk5ovq3T+OWLFnyt7/9Lbp91llnPf30\n07ZcFtYRCMPPh4OJ3dbQ4HULbBPC2SaMlHfcXALOUHlQtbOodhrULgwelDI1vtRP0Z0JdXYc\nNVAkdKDXaLgJVckH4KG9e/fK2+3bt9d5VsyRu3fvtt6SkpKSe++9N7qdlpb297//vUmTwPfA\nDw0CYcj5cDAx/COUM2FY7JEYsVamSlRz0z+bqEbkUx6j/rhmvVG1TmiuSAidgrr4J4CwkJd2\nkCRJ/2i95s1P+t/EemexhoaGESNGHDx4MLo7YcIEFh70lXSvGwBnmR5MXFBQEN21t+84AszI\npIuBYby/qPboQZ1Uk1vSHBhz8KlSreqVT808EYkPVeY2a6LS0PIKqWmO/rvFipRLKQ7/MaGh\npjIE07cALvjxiDS5wOtGhFflT2+0u3fvHj9+vL0Xz8jIOPPMM0eMGBGzIrSNlIEwKytL51kx\nR1oPhE8//fSHH34Y3f75z38+ceJEixeEvQiEIWd6MDGBUFg++hSuObFk0iFnGlMpnhhAmIzq\nYvQxko4ejO8sGn+8oTSoPCU+FsZkwphWnRKXA+VweOSIlJsrSZJUt19Kz5MkSao/IKVp9m1s\nqJBSjQfLSNUBM30ma4+G868SgDWlFdKzdOVx3t69e5988kknrlxVVTV69GgnriydHAgbN26s\n8yx7A+GXX34pJ8CsrKxXXnklPZ0A4i90GQ05Xw0mBhyiPf19/IwyyS9oqm+knu6XdqVB/ecm\n6q1qrLOo7mGEQZJ0GiSWIgTgvJqaGucuXlVVJW9nZur9vyYj46S3RyuBsKqq6vbbb6+tPf63\nyxkzZpx99tmmrwaHENBDzq7BxPz2QgT6BxBq/5FEozwYz0oalK8QUyc0WiTUr6FcStUMPpHK\nwpQmPU565OielOw2kiRFju6LnxWpofqQPNAuUlNOrAKMapQudQzddGP+sa1Uqm+QJElq0aLF\njTfeaPv1O3bseP/999t+WZmyKnjsmN5Z3OT8FmWloDd27NhNmzZFtwcMGOBcLRRWEAhDzieD\niRF+nq454Zr4pdsN1dlsWWRC/coJhhRGJRpJ6KhIZVFKk44u3xQQ0DltpXX/5XUjwuvMx6Sy\nI5IkSfn5+S+++KLXzTFMOZNndXW1zrNijszJMfl3xHfeeWfWrFnR7ebNm8+bNy8lJcXcpeAo\nAmHI+WQwsbbCwsLt27fbftlDh+xeURuwm/XyIEIpJbuFxiBYANBJGQj19021JRCWlpb++te/\nlndnzZrVrl07E9eBCwiEIeeHwcTali5dOnTo0Egk4twtDpVrzU2CoHBzEUITDJUKEWipjZr4\n/NUIAFHKLLd/f1wvlwQOHDhp0IG5BQOfeOKJ0tLS6PYdd9zxq1/9ysRF4A4CYch5Ppg4qa+/\n/trRNChJUnV1wq50gKRjzQmNKUZ9S2MYYTyLq1AAAPypQ4cO8vauXbt0nhVzpLnKnvLT49Kl\nS0899VSdB69bty7mYHkBQziEQBhyng8mTmr06NFff/11cXGx7VfetGnT0aNHJUlqkad3TXBA\ncPLKE0m5sBQhAMCizp07y9t79+6tra3VUx4oKSmRt1u1ahUztYQJhkoLdXV1jPpxGYEw5Lwd\nTKxHy5Yt33jjDSeu3KNHjy+//FKSpHTH1ntFOKTmJCkSpjUPXpFQf3lQkk6UB3WmQUkiDQJA\nACgDYSQS2bJlywUXXJD0rC1btsjb55xzjiMtg5+wDmHIeTiYGGKp01t/Ni21kZkxDPaKLtcu\nKYKTHKX0dLmMD2kaU4Maon0d96cYlSQpxFOMujCAkBllANjivPPOU+5++umnes5SHtalSxeb\n2wT/IRCGnIeDiYHAsavqpVzoL2kYs54J46+gUR60sgihJCVZhFBVdBHChBf8aRFCibXdAcBu\nbdu2VZYE161bl/SU77//fs+ePfLugAEDzN16zpw5Ed1uvfVW+cTevXvH/Ku5BkA/AmHIeTiY\nGEA8Qz05dV3QbJ40NItMarPkx0TFrEp/0j/FrUrvMVvL2pGachuvBgB2GTRokLz91ltvJR1A\ntHjxYnk7MzOzf//+TrUMvkEgDLn4wcR6zrJ9MDHgKGWVKZ5coZI7MWqEluMXNFWpMj1Rp+lQ\np3piTOZMWqLUaHaa/l/9UM7cVMuKNQAC7/rrr5e3Dx8+/Oabb2oc3NDQsGDBAnm3b9++jBsS\nAZPKhByDiWFUQ02lH0brSZIkZWZrfCJPadRUuyaja2nvXEnSjEupzaSGQ5KkOa9M0xyVRQhP\nyZEO//RgsyZHDlWeCEynZh44WBubtE6Vao0uUm8iRmr3F5UHRspDJZNKNfU5ISXL1N+YMrPN\nnAWEXckB6beLvG5EeB3ROx+ff11++eUXXXTRZ599Ft2dMGHCDTfcELPitOzFF1/cvHmzvDt2\n7NhEly0uLlbOBdqyZUs6lAUXgTDk4gcT6wmEDCaGitqjIf5EnnSiUVl6nlS3X5IkKTdXOhIX\nJlXDoaQ7E0Y3kiZDjSioUR5UpkFzxUy5cOrCFKN++auENQ3VzJwOx+2vlOZ97HUj4G+TJk26\n7rrrottFRUWjR4+eO3duampsP8H169ePHz9e3r3sssv69euX6Jrjx49ftOjEnyLGjRs3Y8YM\nW1sN99BlNOQ8HEzsI3FvecFl79yDvhj1lJ6h/1g9IcFk9Uk+/aeoI4cfjeFz8XONKsWU42K6\nbmoMJjxVqtX+Uj8r84DRzqKS2oITcnlQ7i9qYgDhid65mjPKCCtSFbRlTAAE2eDBgwcOHCjv\nzp8//6abbtqxY4f8SG1t7csvv9ynT5/y8uMfDDIyMp555hm3GwqPUCEMv0GDBm3YsCG6HR1M\nrFytPh6DiWFS3TFD6c5NKdltIkf3SJKU0qRjpLJIkqSUJj0ilYWGLiL3GpWLhKqURUJlx1FJ\nrU4oSVJ8qdCE+HgZkwZVy4OmBz1GnegvqmMAoeqMMkwxCliX3Ug6r73XjQivL4ukunqvG2GH\n1157rVevXnIIXLp06fLly7t27dqxY8cDBw5s2LAhZi76559//pJLLvGipfAAgTD8rr/++ief\nfDK6HR1MPGzYsEQHM5g4rBqqD2nPvBJEymGEqY2bxXfPMzSMUO41mtJUiuguncodR5U5UCMT\nxlPtPqqfaqVRTxpU0lMetKu/qMUSrgq//hkCcMfP2kj//L3XjQivjg9JZT7oTGNd8+bNV6xY\nMWTIkG3btkUfqaurKywsLCyM/dtoamrq1KlTR40a5Xob4ZnwdKVDItHBxPLuhAkTqqqqEh2s\nfzAx/ImuaDaK7zUqxyTVaVcSFdxiliWM78kZ39tTj0RnaaRBJYvlQbeFd/yqb9kf3QF46txz\nzy0sLBwxYkT86EFZhw4dVq9e/fvf8zcGsRAIhTBp0iR5OzqYuKGhIf4wQ4OJAdtoVHjiYoDp\nYYRai0/8VB8zNGemnAlz1TpMxsSt+PGEiWKh/JXovhoHxF82pjao2lnUXHkwvr+oxgDCpCsQ\nxvQXdWNGGbOLEDbUVNrbEPfZtSBk+DodAKGXm5u7YMGCoqKiadOmXXXVVZ06dWrcuHHLli27\nd+9+++23v/vuuzt27OjTp4+eSy1cuFC5drzFGWWUV/vwww+tXAom0GVUCNHBxAUFBdHd+fPn\nHz58+Omnnz7zzDOjj9TW1v7tb38bM2bMkZ+mTWQwcbyUrOZ66m+6uin6W8KVJ/w90aj5XqNx\n5F6jqU2lhuiG5voTyo6jknS8v2jMjKPxfUej4U05qlDJaM0wPmEm6imqnQYdpczqfo8TRhYh\n9MX8TACgT35+/sSJEydOnOh1Q+AXVAhF8dprr8nxT5KkpUuXnn322T179hw6dGifPn3atWv3\nm9/85ohiEn0BBxP7/ePpT3w90ajZqotpiWYi0e7tpqdIqDHdqGrHUWWdUFmIU6avU3JUOnCq\nVgv1i54eXxg0lAaVbC8PCsv0mhNB/4sSACBYqBCKgsHE8LX0jIRhMm55+tRGTQx125OLhPJc\no9apzjiqXJkw0Rwz0k+FO9VqYVSimqHqwTHiA6eeNGixs6g2o/OLqlSnNerSAZxRhoG+AABf\noUIokP/P3p3HV1Hefdy/srKYKCYIBcPiRgEBH0TcUdZQUKi+KrW1om2x3pSlVoGSFtl6Y331\nVrCiVRBpgMpWd4hAWvARavWxJVFEEZAtJSxJSGQJHAgh5/nj4DA565zZZ67P+8UfZ46zXDmZ\nxPnmdy0MJpacX9fIVseJRjHDyiKhWsI6oYg2g0vUamGIUvSL9S/qUVFPqC8NJktjeZBJSgAA\ncCECoVxMHEwM13K4/mB7r1EtlCKVxn6MSXUcFZozYVKxUKPQGcJOErqW7jSor7NoVCbMX2LF\nsNWEd2mMAYQ+mFEGAIAwdBmVkYSDidUL1kELB+aVMdBrNNaChFHnAYq3SP23axI22l/bBDNx\n+o4K0aj7qHozJCzOxV+3MHJ/tcjMGfZO1Flkkk6D0WgvDybXXzQOd/QX5XcLAMDTCISA7IJn\njseamsVP4k83GpkJlXXq1aJmQiEujCcU4nwsDOWu+LFQRCTDEH01Q+1RUOhKg43P9e1/jegs\nqpZw9GBiLp7VNr5YPbQTFvCtnlFGY802Yf9er8zCBQBIiEAIJMElK08ETx3R1xOv4fRROx7j\n6s+aX7qxuEjYSEQmVIqEjRrwbSYU2kqFIlp5MH4yTCjW4vJxoqBIJg2qaewsGnXtwVjpwoHl\nBwX9ReE3ZVVi5EtON8K/jiexAA3gVQRC4IKoC9l5UTBQY3wCj5i9Rq0Tp9eoGaIG9SgdR1Ui\nM2EoLIXVCUXcTChEglgoYkQ7ZT1D7SJ3NpIGNc4sqq+zaGLxy4P0FwWEEEIcPSXe+o/TjQDg\nZUwqAyDJh9pkFuy2VFhe1TLdaNTZZeLMOCqiTTAjYsw7GjbNTNhMM2HBLHLel0gJd4h/trCL\nqpuUltNohQkdaVBHZ9HwfRwpDwIAgMaoEAKwgC29RuPT3nG00ZvRJpiJ2ndUPZ5QiChDCkXj\nUYVCVayLLBiqJew+Gj8lRi43r46mIkZhUMQYN6g9DSbsLGra2oPCyvKgGf1FdQ8gBHTIbiZu\n6ex0I/zrg62irt7pRgAWIxBCFj6baDThMMJYvUaTGkborrlGRXIjCWNRdxyNOpgwYSYUInze\nURHRfVTEjoUiRjJUJNVHNPKcaslGQWFLGnSSK5dFUXhlRhm4ypXfEW9PcboR/tXx56LKP88O\nQHR0GQWSo/FRyYTl1+zl3bRspOOoUCcZdbyJ23dUNF6fUN19NKwHaZxOpOdPn93oX1LiHBu6\nVthwQRvSoEbuLQ8mybs/NQa5Jd4DAMxAhRBoxDfzyjhPd6/RJIuE8cXqOJpcnVBEWYsiavdR\n0bgHqYhRLQxR1wxDks2EYSIDp2hcFRSxo6CItd5gMmlQR2fRpBlJg7bML8ovEACAt1AhBHwr\n1oClpB5YYz4KWzq1TPyH/ojyUZwiYZhYdcILb0atE4oLuSg1q9E0M1FLhSJGtTAsmyl1vKhB\nTqNYJ4m8YliTwgqD2tOgWrJpMFLS5UHdzO4smmx50PEVCAEAiIoKIeBVulcjjHlCL69Qr3FZ\nQhGjThgKNvHqhCL6kEIRUSoUIma1UKjqdecapwMjmVAtLaJHc2pEHIvVR1RYXBsUxmcWtbSz\nqGumz7UIAwgBAFFRIYREzEo7PhhGaFOR0EhNJskiYaRYgwmFtvGE6rUoYg0pjFoqFDGqhWHB\nTKngRUa4pKjPE9k7NOyi6oaFtzmr8aBB1erztqZB95UH6S8ahgGEAOAzVAiBcH4aRmjKCvWG\nGFl/wtiMo2G01AlF47UoEg4pFBGlQiHCq4UiomAoGtcMRbSynm6R9UAhwscKiliTx4TE6Caa\nbBoMv6KWP8d4ZC4ZQX9RAICPUCEEPMz0h8ikZ010WS+7+IMJk60TivhDCqONKhQRlTcRUTAU\nqpphZBFPhzinirx02HDB8D6i5qXB+BPJ2Dd0UGgrD/p9Ohk3d1gAADiLCiEgKXMWJNTCxiKh\nSLQyofE6oRAi1qhCIcKrhSJuwfBCq2J8HxqO6omLkfVAIcIzqtBVGBS60mCUFuq4lygP2oIB\nhIAMKisr//a3v61atWrfvn3l5eXZ2dl5eXk9e/b80Y9+1K9fv7S0NEuv/tlnn73++usff/zx\n4cOHDx8+fPLkydzc3FatWt188839+vW75557mjRpYmkDEIlACLmYtTy9OkjE202VMZySbK/R\npKeWsW6R+hB3ZEIhRPRYGNGDVKhioYibDEMi8+GFpmpOg1FDoEgyB4qIqUTjLDaoPQ2aMHTQ\n0qUmhDnlQUkwgBDwtEAgMGPGjDlz5tTX16vfrKysLC0tXbhwYadOnRYsWHDHHXdYcfX3339/\nzJgxO3bsCHv/0KFDhw4d2rJly/z589u0aTN58uTx48enptKN0T4EQiAKDw0jNDLXqDeKhAmZ\nnQnFtxUb9dSjonGpUEROQCrCY6FIlAzP7xw7fYeyYpwdYonMgSJRFBS6CoMi0QoTDqdBC8T6\ni5Kbf2PQX9Tf9hwWd//e6Ub41zF3DYwwpKysbNCgQV9//XWcfXbu3Nm3b9/p06dPnz7dxEvX\n19ePHz9+/vz5wWAw/p6HDh369a9/XVRUtGzZsssuu8zENiAOAiHgf64oElrXcVTozIRC9RAf\nVvINKxUK1YoUIlapUKgilrZkGBKMUyHU/E2ImgDD2nCB3igokuwm6nwadEF5UMb+oumZ5pwH\n2pwIiP/3c6cbAdc7ePDggAEDdu/eHfZ+dnb2qVOnzp07p7wTDAZnzJjRvHnzSZMmmXX1cePG\nzZ8/P/L9Sy+9tEmTJlVVVeoGCCHWr18/ZMiQjRs3XnSR3r9EIxlUYyEd/y0+YeSB0pz1J2yQ\nMBhEyxUJF6xvNPFJs5w4y9aHzTQTNtlM+KLt2eGhKzR9S5Rs9u0sL5H/tOwTdWf15aLMGdN4\nrGBY4+MXBpPqJurkIhPaJTkrkhfLgyaivyjgXaNGjVKnwfbt28+bN6+qqur48eOBQGDz5s0P\nPPCAev/JkyeXlJSYcukXXnghLA326tVryZIlR48erampOXToUG2QVWsDAAAgAElEQVRt7Zo1\na2644Qb1PiUlJT/72c9MaQASokIIROehXqNWcF2RUGioE0YTv04oNHcfFdF6kIqIaqGIWzAU\nEfU6deUwTJyiX1RR02ajZqhPHpZgkykMiiQHDQrdadCG8mAMtpUHbUB/Ud+77JL0H/VnNiCr\nvLrmSOBMg9OtMKq4uHjdunXKZs+ePdetW9eqVavQZkZGRq9evZYuXdqnT5+xY8c2NDQIIYLB\n4BNPPLFx40aDl66srPzd736nfqegoGDWrFnqqWuaNm06ZMiQ/Pz8uXPnFhQU1NXVhd5//fXX\nN27ceOeddxpsAxIiEAKWs2FqmYQjCeP0GjVtJKHVs8sIPRPMiGiZUDQu9cTJhCLJWCgi+5GK\nxpFMFQ5FnBQXLSvG2TkKXTlQJBkFhafToAvKgz7sLwrbtW2Z+cdH85xuhW+teL/GB4Fw4sSJ\nyuusrKx3331XSYNqo0eP/uqrr+bOnRva3LRp06pVq4YPH27k0i+88EJt7YX/n40dO/bpp5+O\numdaWtrjjz9+5syZ3/72t8qbv//97zds2GCkAdCCLqOQkc29Rj0q5uOvkeKJgaLNefFzQmZz\nLX1HRbQlCuN0HxXRepBGdiKN7EcaGcAu9NuM6FYa3uas8H8JxD5z1MaENTjyixIaCoMuTYNa\nxE6DfioPmkjjn43M+u0KwCwlJSVffPGFsjl16tR27drF2vmpp55ST+VSWFho8Oqvv/668rpt\n27bPPvts/P0nTZp0yy23KJsbN26srq422AYkRCAEYvLWgJmEpYY4j6emdY7VUnKxOhMKTeMJ\nRaIhhSLaqML4sVBETVnfhrEo4VBEpDgNQVH7IbGuqzEKho0YTHbQoHAwDVrQWdSj5UH6iwJ4\n4403lNeZmZmjRo2Ks3NWVtbIkSOVzeLi4pMn9f+NrKqqSr3IxH333de0adP4h6Slpf3mN79R\nNs+dO/fBBx/obgA0ossoYAc3LEioQ6yRhEY7jlq6CkWIhnlHRYzuo6LxU378HqQiohOpUPXD\nVHclFRE9Nht1Kw0TPxPGED1zNm5Sozcbh0ARLT8k7CMqYhSFXJ0Gk+wsqoO3yoP+7uwASO7N\nN99UXg8dOjQ3Nzf+/iNHjpwzZ07odSAQWLNmzYgRI/RdWl2ZFEJo7H0aNmhw//79+q4O7Qi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y5XWrVq3CVor3ytWhXarTDQAghK6nuqSeHXXnGd0CS4YAACAASURBVBMjlg2Cp45Y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\nAAAAJEUgBAAAAABJEQgBAAAAQFIEQgAAAACQFIEQAAAAACRFIAQAAAAASRE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"text/plain": [ "Plot with title “”" ] }, "metadata": { "image/png": { "height": 450, "width": 600 } }, "output_type": "display_data" } ], "source": [ "filled.contour(x,y,z) # show the color legend" ] }, { "cell_type": "code", "execution_count": 17, "id": "0179cdfd", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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XqkYzhqGflmkzu7K5w52o73YuRK7BKzH11Kiosa0qqiFV+1Bq3LxHz/g11T2rux\nPaLRyJnfx+v7M8bNlWcMlPi0syf9TAhC1CNrMTWTbDYc9XTL2e5D2hU9gDAjkWynxK0TrmtP\nGyBYJsA4gpVFdbXr40ReialmHabdlUpyriJpVjAKIWsfo6i73iwIJSv7GtKtqP4O5IP1UQw7\nReUYlorXr5JK76/uX1quBnZNR2+6g+uUV6a93As/cqbCmUPNeS8GLda96Nw7m0Y3tZPXs3T/\n1fdx35sucmHe5KV9dE6Rs6M+bdoQtfHAozCq92eJmImTSmIoqS17AnldEfmEMxNhfPNZTTBv\nVhQgWCbAKIL1oDJ5C3TEGGm860oa2m5DmX2LomStGuKBLllPB0bUR8xgSpLq0S3IN0m7HfnY\nTwhkvFxWgQmYcQEZ8WEeMg2wpVxd+moVza91OZV867RT4czxorwaVdRDsBgo51RRWYVdg2KQ\noZwMOSnBTNyDuW8cMuIrlQkhqB6P+C7O0dJWcj2iCulU58ksXPuInySR8o21x1gD9IXqlpf/\nC22IAATLBBhDsG5Q3qZBGKOfGxVIw4rpKLM/KS9XARFCM+74U7d7Ca0Tz2THIsmHkSvEGEUq\nOR7M+KrNGi3DWvgmubm0p6us7VceuuGWQVrF1LYpN9gL5ZrCbran0k6+MmqlF27nT/1Fbm0Y\nWlkuWj2X3sQqLmtZI2YSxDb4OOoNpxnJqhqvvUsrSaAjcZv8qb20bDHl0PfWGjNBkU51yyvc\nQJmR8jucNHRTDszVGRAsE2AEwTpGPtnMVGKD1LCdUoROqCA/ySzq9qx8QbvVlzFUZ8hmCsK5\nkUC3TDPknHfOH2wT9ozCGygl93LhmryZ9y/bnmC9Cc09h5VUR/XF2FJsfzXRvshh+o/jjqOY\ni7z+zWGd4Rd6su0Xb1l8mUuvZKw33Y9io0Iq/4EaXJ8PpEvX6rQm+TCFGtQXGIPoPl2gfp2C\ns1A6+YbypNruRFhRzCBrZ4+7VEcTIFgmwHDBelaEvONWYRheJsd55sibTjqXGniMQjlFe1PN\noRvKebWMkauLqGt+6UK3Q2zH1aNObFM3rx6+0wjeEDkLAxw86hUvVLYxm03Dz9LSn/p/WFR4\nI8ey7YK6Vi7WWZd12tp4vjO8OjeL2OkR1lskqWGOtH0X5Ajtz2B6FiIGYfagG2XVG2H1aRRV\n0bnI6s0izSxwuk6ryOddkWcYhloAwTIBhgvWBIIohPWAbkEQDugtYDMKEYQH8tm3hur8I9f/\n7aRu397IIaj0bQtKe9ptx1xrI4mjI4ksakckaouS1IV3F/esmDGya+MKssXY6rFy8+w0csaK\nPZiLlNG8SoyoTQuLfRzmOPPz9naUeLRAOMtJ0ntTjyhkh+cg5ShYg7I65kHeZ+i4hX0OZNWQ\nViTJ5H02AcdQMyBYJsBgwcoiO1jzcAyTydvyMNqsDUG4IWXgDtmu/ZDP+NPkcKPMbfQln1Nu\nrsBMtCHD/eZUA2+5B72ADYtHKTHBXuaaFEojboFRCdpD9bF5s6clVWJz7FnDTMpF5YPRs7xd\nhhy2n0ZZffEjiMLI9Fqv3AiiDfqSh8mqYT0/55FdLMwsXRoAwTIBBgvW/wiiKM7jPsebINqi\nzbaQ99tWlNEXstZOyDHMfWey34Dw51I8qEResx8y0oIlO4bqBDng9ke08fXymlHNHZWVyNy1\nekD/ccpZNcb1D6iuHAVKjmGbj1pz2RgJuRKoCFGbKNwvISeENPfEmGe7VZS8PZDPjKfFCaIa\nsnuLdWvQT7zKOOFvH5wIYibaTAsgWCbAUMH6QKrCdBzD5eQYCq0eb0sQRADSahRBmO1BGT0r\nSxDWp9AVu0WtGfsVd4bvel1KKAIfoi218uX4/H7VCvKkx97br+/oefEHrj/R4s7OeXL9QPy8\n0X39vO15by1Yrd/848juJoKnwVRRNfBWBpOj4kiqk3cdbXjKmiDKIn1F+81w2j7Zr3NF94lu\nFSCIOHTFpNIogihmUCpEECyO91sxMM6lDBWs38nePM4mLu/JDn0I2mwY+ZxHOiqo23sUyugz\nlfV0O/qKF8kHrVkU2o4pNIpKM+qKk/ZUCxlxQUUUBnci3cO3HiWJFQaSNohUCWiSqOCUAuG4\niUdjyB/BESOp63Yq2yey9xSO8wh6QPZth6OvOJggXHD6/K/sCGIBhp1GQLA4/sJxYhjnUgYK\n1heyRxSJNpNKpxNEof+QVufIu1uMMnpCdupqInsU/Qms2/Ec2QgscFe6/EfNrpuF6JLcXpV7\nVWQ/obVPyKKTBrjC3pxcFN3o6A8AACAASURBVOIjy0lFVMFKLayR1yFUJEJl9K/EsNKCfFZh\npB1aQBaK3EnxS02CcEbGhojJZxD6iv8VIogodL2kUrKXWMKQXWlBsDiEI1gnyVaHFYNEtlLU\nil0p3cGqhvSjLCYbCtIt8or8hnD2auhJEFY4gTs0VO7cckdxrTUgon+9wq3Hb0rXfeMLNWSn\nbxrfmplcFBlY1FFqmR1uJmzpTiuC6IlhRy2LR06j3CY/ATJ+/1s1ghiGvuAU8lfCqJf0Can1\nhvyaIFgcz5uoTVCSBwUrBfPekHoSBCrWXErf2+hGt4Qg2iGNXpPfEM5QtZ8uzZy8clW8VAda\niCMlcvxRI25dQfH16HgrTNeNNj5WJYgl2Nak9PbDMHtB/hToTmk7nCuLsJ5CRwjCE6NeUimp\nz/hbU6gCgiXnRbSHIATrNNmrxjIkWwJyLZ9UOoYgRiKN4gmiKdIolxxc/o1RL/Km+xXDjCGR\nHHZhG2viPjmqxMs3rRNPyfEcdlyCRsgxL9KVJGMkQYzGMMsgB3JoF10TgliPNPqFIDB24NhD\n9tMx6iWVumFuraQBECw+n+gEU8TeN5owzmUMFKw0giiKZVgPa0p6KkEMQhrtwqqyA0Gg98GQ\nSmeio6zlkJ/WDttYI2Wwvgpd2YKz/RESO4K4jG3ciyBmYZhdIQhHtFVNgtiNNBpIENPQRZFf\nRX2Mekmljrp8WlVAsBShMhsQyLQaBmKgYN0kCBssw+YYwcy0V7UH0ogchpZHGlGycBxtJV1K\nEK3RVixPyR/E8AfFQMy9a3UjFEfrUVADafz1Kq0IYhmG2TGsjSfL4fgMgjCW59Ab22EFu0ut\nCQK5F5wWQLAUyTDL+4L1Nzm+wQqhxHJRUP50tHvqPEG4oIuqgfPEpnfurI1hxiCxIgj0Qh8U\n6wminBE3M2TIKYczpEKRThBW+BGx5L2DETdC9Yhroq2cCQKx3p2kLe5d1B6jXlIJ2cAycQw1\nAIKlRMO8L1hPyCpiRe50JwiMTNprcTrzt8hWhb5mM7z5LvLx74i/taAnQfQ3bDkHyX/kd+bY\nJfqIgUtv5Tw7Et2FCpjHDUjQSFZ/XHc1xQNH9L62FPMJohnS6IMVTm+nPkGsRV9wNkF0R1uR\n1yS/M0PSbIBgKTE57wvWF2vMuSnyx/VAp6WldhTeizJ6ZUEQfZBF9SVlDePLo7qxrtghl1Re\neJd4Q1flVGOnTVz8R6++ZNCs48dLq0f7c3lu8BzNmpHEUyWh1xmwpLmSvWuMLOonSCnqi7Tq\nQxAWyNiHvQTODt2fPDAnUuIIwtKQFQIgWEok5n3BogIRSuP86PfJ2xadMyunAUGURE6BTyS/\nlz+QF3QiCHsMl+osKigKLx2UVHqzKqUMzQwcFp5vxluUY16+W9T2uzoPEXPubo/qVp4X6l6w\nGXqfK62k05tgVcXaA4skmQr9wvC5X7YnCCfk9OUfZGETUUavSxJEA/Q3NZ3UIeRSapKvHlhR\nXZoBwVLirgAE618rDPGgiCQIG/TY644NQajubKxEbiuyfSLnoy+SLcoJw6e6llQPC9ycw9kx\nVFr0AuEGZnd5v2+cf3F+jIqNT6fQqYu2nriJSIHw/OaJrYumhnbyseG/u7j/uH0GrYqj0uNT\ni44KReHGh60sQH4Ny9F298iPaYP8rS6Qd1FzZBjtILLTjH5WPCR/9/FIKykdVWeZiWOoCRAs\nJbJLurqeRZsZhMHZGkYQhBvOFiTv3LDiosVks0HuffKMfNSWQoaFHiZbQclM9CWPUCuJw3EX\n8z2iVwmXiMc018KzIwtD6qrkvyrgVr11v9HiOCXEo/u1ru5WQNm6cN2QhcZwhiXRuYoDcb15\nkijS2hZjT7d/yXILIgf5WWXJcTlyO6MjZlhzhD1IAceZyv3srn2bVDQgWCbAYMF6TD7rY3EM\n1xI4gQY5dXEGhWfJ7oA/cnCw04IgymN4VdOpTW+6YG/8dJTOptwSZ9SBAb2KGWNhgwr0mmnj\nzDZmtKcK9ERnV2T50ovSbIwwt+fkV2W+BWWV25bUaWRejbfkr1QLnf8mlZQ1rBTSMQRhbVjS\nDRAsE2B4xtFwsu3geI4l9QiiBtrddYPUokFIt/bvZIsZj+wUxZE3bw0Mp8wjateL+shEcxyf\nplE7T5n5bTdsFTSPz2mboicMbF+3lLU2iaKwLlW3/cAJ0ZvSDFm1q8Dr7UOo8aXVNGzFPk3t\ndlMTI6fyzRrk14Sck8kdTxb3O8pKQg4ILdEbTHwhL1kPZ1bkI9njD8ew0wIIlgkwXLCoLlYr\nnJv9PCkfLdCd9Znk7dseNWEkoaJqmyHX3lD54QuEopvWu7aUGPiswp2yu9eKVg+LhtPPGTmi\n6t3d07uXzRgZ5K9E0MgZy3afvmuszMgsOeemN2R6d61wMz18XEVvQ9QWXZNHodQIFjmI+5ty\n9ndFacwrqhOIzrf3pgUpkTizD5/IX9AGOQrVDgiWCTDCrjmTCEzFCiUNqyF74d+obQQ9UJnk\n3lDjMtvFqE7WRNrRMwWZfzw7jG62DqMwMirTrOPcSY5BK//FfE8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gzL3YjrWnldM2SqdMZiBYJkD3fFhvY5hEBjXj8YYzWXHVmHvNJw6d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gX5/cPHckOtTPzdpQG4O9Ova3WhieUvAGdpt/3r8Qj2o1q2yyaE8eQtJ7lxO3DFq8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\n97P0dcLbHDWfuSX5WUf2bArwdLIw1CNwFSr2HmvvGbj1YFp+BX42lQC8ItL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/WjUm6e2BYxdVDHWs56wkbzVukwemnsTaoh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\n/HvlYNSC8f1bexYV7Jq35oCFx8Wu0POUn9NdmzZvYhYXd+N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rOwiWSHJ5jSMCwbIqubz65DrB2gPBEkkur3FEIFhWJZdXn1wnWLchWCLJ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\nYII=", "text/plain": [ "Plot with title “Contour plot”" ] }, "metadata": { "image/png": { "height": 450, "width": 600 } }, "output_type": "display_data" } ], "source": [ "N <- 50\n", "x <-y<- seq(-1, 1, length=N)\n", "xx <- matrix(x, nrow=N, ncol=N)\n", "yy<-t(xx)\n", "z <- 1 / (1 + xx^2 + (yy + .5 * sin(5*yy))^2)\n", "# here is the contour plot\n", "contour(x, y, z, main = \"Contour plot\")" ] }, { "cell_type": "code", "execution_count": 18, "id": "fa405583", "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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FqBgM0ummBlJ1iC1ZlgCVYpgiVYnQmWYJUiWILVmWAJVimCJVidCZZglSJYgtWZ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\nNe49qn28/1N/8scOa3/R/EbmIc40ZYB7H8pvLv274+sPP2DnLw7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