From 83f6795f72e3ce3423d1983e6448ed468641c21c Mon Sep 17 00:00:00 2001 From: Roger Labbe Date: Wed, 2 Nov 2016 08:38:18 -0700 Subject: [PATCH] Wording changes. --- 02-Discrete-Bayes.ipynb | 1693 +++++++++++++++++++++- 03-Gaussians.ipynb | 218 +-- 04-One-Dimensional-Kalman-Filters.ipynb | 199 +-- 05-Multivariate-Gaussians.ipynb | 123 +- 06-Multivariate-Kalman-Filters.ipynb | 524 ++++--- 07-Kalman-Filter-Math.ipynb | 16 +- 10-Unscented-Kalman-Filter.ipynb | 4 +- 11-Extended-Kalman-Filters.ipynb | 4 +- Appendix-E-Ensemble-Kalman-Filters.ipynb | 4 +- code/mkf_internal.py | 23 +- experiments/slam.py | 179 +++ experiments/slamekf.py | 125 ++ pdf/Untitled.ipynb | 1617 +++++++++++++++++++++ 13 files changed, 4176 insertions(+), 553 deletions(-) create mode 100644 experiments/slam.py create mode 100644 experiments/slamekf.py create mode 100644 pdf/Untitled.ipynb diff --git a/02-Discrete-Bayes.ipynb b/02-Discrete-Bayes.ipynb index 075fcda..62cfb26 100644 --- a/02-Discrete-Bayes.ipynb +++ b/02-Discrete-Bayes.ipynb @@ -16,7 +16,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 3, "metadata": { "collapsed": false }, @@ -289,14 +289,14 @@ "" ] }, - "execution_count": 1, + "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#format the book\n", - "%matplotlib inline\n", + "%matplotlib notebook\n", "from __future__ import division, print_function\n", "from book_format import load_style\n", "load_style()" @@ -334,7 +334,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 4, "metadata": { "collapsed": false }, @@ -372,7 +372,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 5, "metadata": { "collapsed": false }, @@ -390,16 +390,782 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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+ "application/javascript": [ + "/* Put everything inside the global mpl namespace */\n", + "window.mpl = {};\n", + "\n", + "mpl.get_websocket_type = function() {\n", + " if (typeof(WebSocket) !== 'undefined') {\n", + " return WebSocket;\n", + " } else if (typeof(MozWebSocket) !== 'undefined') {\n", + " return MozWebSocket;\n", + " } else {\n", + " alert('Your browser does not have WebSocket support.' +\n", + " 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n", + " 'Firefox 4 and 5 are also supported but you ' +\n", + " 'have to enable WebSockets in about:config.');\n", + " };\n", + "}\n", + "\n", + "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n", + " this.id = figure_id;\n", + "\n", + " this.ws = websocket;\n", + "\n", + " this.supports_binary = (this.ws.binaryType != undefined);\n", + "\n", + " if (!this.supports_binary) {\n", + " var warnings = document.getElementById(\"mpl-warnings\");\n", + " if (warnings) {\n", + " warnings.style.display = 'block';\n", + " warnings.textContent = (\n", + " \"This browser does not support binary websocket messages. \" +\n", + " \"Performance may be slow.\");\n", + " }\n", + " }\n", + "\n", + " this.imageObj = new Image();\n", + "\n", + " this.context = undefined;\n", + " this.message = undefined;\n", + " this.canvas = undefined;\n", + " this.rubberband_canvas = undefined;\n", + " this.rubberband_context = undefined;\n", + " this.format_dropdown = undefined;\n", + "\n", + " this.image_mode = 'full';\n", + "\n", + " this.root = $('
');\n", + " this._root_extra_style(this.root)\n", + " this.root.attr('style', 'display: inline-block');\n", + "\n", + " $(parent_element).append(this.root);\n", + "\n", + " this._init_header(this);\n", + " this._init_canvas(this);\n", + " this._init_toolbar(this);\n", + "\n", + " var fig = this;\n", + "\n", + " this.waiting = false;\n", + "\n", + " this.ws.onopen = function () {\n", + " fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n", + " fig.send_message(\"send_image_mode\", {});\n", + " fig.send_message(\"refresh\", {});\n", + " }\n", + "\n", + " this.imageObj.onload = function() {\n", + " if (fig.image_mode == 'full') {\n", + " // Full images could contain transparency (where diff images\n", + " // almost always do), so we need to clear the canvas so that\n", + " // there is no ghosting.\n", + " fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n", + " }\n", + " fig.context.drawImage(fig.imageObj, 0, 0);\n", + " };\n", + "\n", + " this.imageObj.onunload = function() {\n", + " this.ws.close();\n", + " }\n", + "\n", + " this.ws.onmessage = this._make_on_message_function(this);\n", + "\n", + " this.ondownload = ondownload;\n", + "}\n", + "\n", + "mpl.figure.prototype._init_header = function() {\n", + " var titlebar = $(\n", + " '
');\n", + " var titletext = $(\n", + " '
');\n", + " titlebar.append(titletext)\n", + " this.root.append(titlebar);\n", + " this.header = titletext[0];\n", + "}\n", + "\n", + "\n", + "\n", + "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n", + "\n", + "}\n", + "\n", + "\n", + "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n", + "\n", + "}\n", + "\n", + "mpl.figure.prototype._init_canvas = function() {\n", + " var fig = this;\n", + "\n", + " var canvas_div = $('
');\n", + "\n", + " canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n", + "\n", + " function canvas_keyboard_event(event) {\n", + " return fig.key_event(event, event['data']);\n", + " }\n", + "\n", + " canvas_div.keydown('key_press', canvas_keyboard_event);\n", + " canvas_div.keyup('key_release', canvas_keyboard_event);\n", + " this.canvas_div = canvas_div\n", + " this._canvas_extra_style(canvas_div)\n", + " this.root.append(canvas_div);\n", + "\n", + " var canvas = $('');\n", + " canvas.addClass('mpl-canvas');\n", + " canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n", + "\n", + " this.canvas = canvas[0];\n", + " this.context = canvas[0].getContext(\"2d\");\n", + "\n", + " var rubberband = $('');\n", + " rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n", + "\n", + " var pass_mouse_events = true;\n", + "\n", + " canvas_div.resizable({\n", + " start: function(event, ui) {\n", + " pass_mouse_events = false;\n", + " },\n", + " resize: function(event, ui) {\n", + " fig.request_resize(ui.size.width, ui.size.height);\n", + " },\n", + " stop: function(event, ui) {\n", + " pass_mouse_events = true;\n", + " fig.request_resize(ui.size.width, ui.size.height);\n", + " },\n", + " });\n", + "\n", + " function mouse_event_fn(event) {\n", + " if (pass_mouse_events)\n", + " return fig.mouse_event(event, event['data']);\n", + " }\n", + "\n", + " rubberband.mousedown('button_press', mouse_event_fn);\n", + " rubberband.mouseup('button_release', mouse_event_fn);\n", + " // Throttle sequential mouse events to 1 every 20ms.\n", + " rubberband.mousemove('motion_notify', mouse_event_fn);\n", + "\n", + " rubberband.mouseenter('figure_enter', mouse_event_fn);\n", + " rubberband.mouseleave('figure_leave', mouse_event_fn);\n", + "\n", + " canvas_div.on(\"wheel\", function (event) {\n", + " event = event.originalEvent;\n", + " event['data'] = 'scroll'\n", + " if (event.deltaY < 0) {\n", + " event.step = 1;\n", + " } else {\n", + " event.step = -1;\n", + " }\n", + " mouse_event_fn(event);\n", + " });\n", + "\n", + " canvas_div.append(canvas);\n", + " canvas_div.append(rubberband);\n", + "\n", + " this.rubberband = rubberband;\n", + " this.rubberband_canvas = rubberband[0];\n", + " this.rubberband_context = rubberband[0].getContext(\"2d\");\n", + " this.rubberband_context.strokeStyle = \"#000000\";\n", + "\n", + " this._resize_canvas = function(width, height) {\n", + " // Keep the size of the canvas, canvas container, and rubber band\n", + " // canvas in synch.\n", + " canvas_div.css('width', width)\n", + " canvas_div.css('height', height)\n", + "\n", + " canvas.attr('width', width);\n", + " canvas.attr('height', height);\n", + "\n", + " rubberband.attr('width', width);\n", + " rubberband.attr('height', height);\n", + " }\n", + "\n", + " // Set the figure to an initial 600x600px, this will subsequently be updated\n", + " // upon first draw.\n", + " this._resize_canvas(600, 600);\n", + "\n", + " // Disable right mouse context menu.\n", + " $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n", + " return false;\n", + " });\n", + "\n", + " function set_focus () {\n", + " canvas.focus();\n", + " canvas_div.focus();\n", + " }\n", + "\n", + " window.setTimeout(set_focus, 100);\n", + "}\n", + "\n", + "mpl.figure.prototype._init_toolbar = function() {\n", + " var fig = this;\n", + "\n", + " var nav_element = $('
')\n", + " nav_element.attr('style', 'width: 100%');\n", + " this.root.append(nav_element);\n", + "\n", + " // Define a callback function for later on.\n", + " function toolbar_event(event) {\n", + " return fig.toolbar_button_onclick(event['data']);\n", + " }\n", + " function toolbar_mouse_event(event) {\n", + " return fig.toolbar_button_onmouseover(event['data']);\n", + " }\n", + "\n", + " for(var toolbar_ind in mpl.toolbar_items) {\n", + " var name = mpl.toolbar_items[toolbar_ind][0];\n", + " var tooltip = mpl.toolbar_items[toolbar_ind][1];\n", + " var image = mpl.toolbar_items[toolbar_ind][2];\n", + " var method_name = mpl.toolbar_items[toolbar_ind][3];\n", + "\n", + " if (!name) {\n", + " // put a spacer in here.\n", + " continue;\n", + " }\n", + " var button = $('');\n", + " button.click(method_name, toolbar_event);\n", + " button.mouseover(tooltip, toolbar_mouse_event);\n", + " nav_element.append(button);\n", + " }\n", + "\n", + " // Add the status bar.\n", + " var status_bar = $('');\n", + " nav_element.append(status_bar);\n", + " this.message = status_bar[0];\n", + "\n", + " // Add the close button to the window.\n", + " var buttongrp = $('
');\n", + " var button = $('');\n", + " button.click(function (evt) { fig.handle_close(fig, {}); } );\n", + " button.mouseover('Stop Interaction', toolbar_mouse_event);\n", + " buttongrp.append(button);\n", + " var titlebar = this.root.find($('.ui-dialog-titlebar'));\n", + " titlebar.prepend(buttongrp);\n", + "}\n", + "\n", + "mpl.figure.prototype._root_extra_style = function(el){\n", + " var fig = this\n", + " el.on(\"remove\", function(){\n", + "\tfig.close_ws(fig, {});\n", + " });\n", + "}\n", + "\n", + "mpl.figure.prototype._canvas_extra_style = function(el){\n", + " // this is important to make the div 'focusable\n", + " el.attr('tabindex', 0)\n", + " // reach out to IPython and tell the keyboard manager to turn it's self\n", + " // off when our div gets focus\n", + "\n", + " // location in version 3\n", + " if (IPython.notebook.keyboard_manager) {\n", + " IPython.notebook.keyboard_manager.register_events(el);\n", + " }\n", + " else {\n", + " // location in version 2\n", + " IPython.keyboard_manager.register_events(el);\n", + " }\n", + "\n", + "}\n", + "\n", + "mpl.figure.prototype._key_event_extra = function(event, name) {\n", + " var manager = IPython.notebook.keyboard_manager;\n", + " if (!manager)\n", + " manager = IPython.keyboard_manager;\n", + "\n", + " // Check for shift+enter\n", + " if (event.shiftKey && event.which == 13) {\n", + " this.canvas_div.blur();\n", + " event.shiftKey = false;\n", + " // Send a \"J\" for go to next cell\n", + " event.which = 74;\n", + " event.keyCode = 74;\n", + " manager.command_mode();\n", + " manager.handle_keydown(event);\n", + " }\n", + "}\n", + "\n", + "mpl.figure.prototype.handle_save = function(fig, msg) {\n", + " fig.ondownload(fig, null);\n", + "}\n", + "\n", + "\n", + "mpl.find_output_cell = function(html_output) {\n", + " // Return the cell and output element which can be found *uniquely* in the notebook.\n", + " // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n", + " // IPython event is triggered only after the cells have been serialised, which for\n", + " // our purposes (turning an active figure into a static one), is too late.\n", + " var cells = IPython.notebook.get_cells();\n", + " var ncells = cells.length;\n", + " for (var i=0; i= 3 moved mimebundle to data attribute of output\n", + " data = data.data;\n", + " }\n", + " if (data['text/html'] == html_output) {\n", + " return [cell, data, j];\n", + " }\n", + " }\n", + " }\n", + " }\n", + "}\n", + "\n", + "// Register the function which deals with the matplotlib target/channel.\n", + "// The kernel may be null if the page has been refreshed.\n", + "if (IPython.notebook.kernel != null) {\n", + " IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n", + "}\n" + ], "text/plain": [ - "" + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "" + ], + "text/plain": [ + "" ] }, "metadata": {}, @@ -544,7 +2078,9 @@ "belief = np.array([0.1] * 10)\n", "reading = 1 # 1 is 'door'\n", "update_belief(hallway, belief, z=reading, correct_scale=3.)\n", + "print('belief:', belief)\n", "print('sum =', sum(belief))\n", + "plt.figure()\n", "book_plots.bar_plot(belief)" ] }, @@ -582,7 +2118,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "FilterPy implements this in the `normalize` function:\n", + "FilterPy implements this with the `normalize` function:\n", "\n", "```Python\n", "from filterpy.discrete_bayes import normalize\n", @@ -595,7 +2131,9 @@ "\n", "\n", "\n", - "Also, the `for` loop is cumbersome. NumPy lets you index arrays with boolean arrays. You create a boolean array with logical operators. We can find all the doors in the hallway with:" + "Also, the `for` loop is cumbersome. As a general rule you will want to avoid using `for` loops in NumPy code. NumPy is implemented in C and Fortran, so if you avoid for loops the result often runs 100x faster than the equivalent loop.\n", + "\n", + "How do we get rid of this `for` loop? NumPy lets you index arrays with boolean arrays. You create a boolean array with logical operators. We can find all the doors in the hallway with:" ] }, { @@ -630,7 +2168,9 @@ "```python\n", "belief[hall==z] *= scale\n", "```\n", - "and only the elements which equal `z` will be multiplied by `scale`. This is roughly 100 times faster than the `for` loop because the operation is performed in C, not Python.\n", + "and only the elements which equal `z` will be multiplied by `scale`.\n", + "\n", + "Teaching you NumPy is beyond the scope of this book. I will use idiomatic NumPy constructs and explain them the first time I present them. If you are new to NumPy there are many blog posts and videos on how to use NumPy efficiently and idiomatically. For example, this video by Jake Vanderplas is often recommended: https://vimeo.com/79820956.\n", "\n", "Here is our improved version:" ] @@ -656,7 +2196,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -690,7 +2230,7 @@ "\n", "Another term is the [*likelihood*](https://en.wikipedia.org/wiki/Likelihood_function). When we computed `belief[hall==z] *= scale` we were computing how *likely* each position was given the measurement. The likelihood is not a probability distribution because it does not sum to one.\n", "\n", - "The combination of these gives us the equation\n", + "The combination of these gives the equation\n", "\n", "$$\\mathtt{posterior} = \\frac{\\mathtt{likelihood} \\times \\mathtt{prior}}{\\mathtt{normalization}}$$ \n", "\n", @@ -768,7 +2308,8 @@ " return likelihood\n", "\n", "belief = np.array([0.1] * 10)\n", - "update(lh_hallway(hallway, z=1, z_prob=.75), belief) " + "likelihood = lh_hallway(hallway, z=1, z_prob=.75)\n", + "update(likelihood, belief) " ] }, { @@ -797,7 +2338,7 @@ "data": { "image/png": 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fIyIiUFNTg3fffddpizIioq5gnhFRT7K5KPP09IRKpUJdXZ1Ze11dHby9vTvd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\nlUqFuro6s/a6ujp4e3tb3cb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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1607,7 +3148,7 @@ { "data": { "text/html": [ - "" + "" ], "text/plain": [ "" @@ -1633,7 +3174,7 @@ " \n", "# reset to noninteractive plot settings\n", "%matplotlib inline\n", - "set_figsize(y=2)" + "set_figsize(y=2);" ] }, { @@ -1642,7 +3183,7 @@ "source": [ "## Terminology\n", "\n", - "I introduced this terminology in the last chapter, but let's review to help solidify your knowledge. \n", + "Let's pause a moment to review terminology. I introduced this terminology in the last chapter, but let's take a second to help solidify your knowledge. \n", "\n", "The *system* is what we are trying to model or filter. Here the system is our dog. The *state* is its current configuration or value. In this chapter the state is our dog's position. We rarely know the actual state, so we say our filters produce the *estimated state* of the system. In practice this often gets called the state, so be careful to understand the context.\n", " \n", @@ -1661,15 +3202,15 @@ "&= 47\n", "\\end{aligned}$$\n", "\n", - "I use bars over variables to indicate that they are predictions, or priors. We can write the equation for the process model like this:\n", + "I use bars over variables to indicate that they are priors (predictions). We can write the equation for the process model like this:\n", "\n", - "$$ \\bar x_{k+1} = x_k + f_x(\\bullet)$$\n", + "$$ \\bar x_{k+1} = f_x(\\bullet) + x_k$$\n", "\n", "$x_k$ is the current position or state. If the dog is at 17 m then $x_k = 17$.\n", "\n", "$f_x(\\bullet)$ is the state propagation function for x. It describes how much the $x_k$ changes over one time step. For our example it performs the computation $15 \\cdot 2$ so we would define it as \n", "\n", - "$$f_x(v_x, t) = v_x t$$." + "$$f_x(v_x, t) = v_k t$$." ] }, { @@ -1696,7 +3237,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1734,11 +3275,21 @@ "scrolled": true }, "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0.0, 0.0, 0.0, 0.04, 0.38, 0.52, 0.06, 0.0, 0.0, 0.0])" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + }, { "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1748,7 +3299,8 @@ "source": [ "belief = [0, 0, .4, .6, 0, 0, 0, 0, 0, 0]\n", "prior = predict_move(belief, 2, .1, .8, .1)\n", - "book_plots.plot_belief_vs_prior(belief, prior)" + "book_plots.plot_belief_vs_prior(belief, prior)\n", + "prior" ] }, { @@ -1759,7 +3311,7 @@ "\n", "If you look at the probabilities after performing the update you might be dismayed. In the example above we started with probabilities of 0.4 and 0.6 in two positions; after performing the update the probabilities are not only lowered, but they are strewn out across the map.\n", "\n", - "This is not a coincidence, or the result of a carefully chosen example - it is always true of the evolution (predict step). If the sensor is noisy we lose some information on every prediction. Suppose we were to perform the prediction an infinite number of times - what would the result be? If we lose information on every step, we must eventually end up with no information at all, and our probabilities will be equally distributed across the `belief` array. Let's try this with 100 iterations. The plot is animated; recall that you put the cursor in the cell and press Ctrl-Enter to execute the code and see the animation." + "This is not a coincidence, or the result of a carefully chosen example - it is always true of the prediction. If the sensor is noisy we lose some information on every prediction. Suppose we were to perform the prediction an infinite number of times - what would the result be? If we lose information on every step, we must eventually end up with no information at all, and our probabilities will be equally distributed across the `belief` array. Let's try this with 100 iterations. The plot is animated; recall that you put the cursor in the cell and press Ctrl-Enter to execute the code and see the animation." ] }, { @@ -2536,7 +4088,7 @@ { "data": { "text/html": [ - "" + "" ], "text/plain": [ "" @@ -2585,7 +4137,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "And, if you are viewing this in Github or nbviewer, here is an animation of that output.\n", + "And, if you are viewing this online here is an animation of that output.\n", "\n", "\n", "I will not generate these standalone animations through the rest of the book. Please see the preface for instructions to run this book on the web, for free, or install IPython on your computer. This will allow you to run all of the cells and see the animations. It's very important that you practice with this code, not just read passively." @@ -2597,7 +4149,7 @@ "source": [ "## Generalizing with Convolution\n", "\n", - "We made the assumption that the movement error is at most one position. But it is possible for the error to be two, three, or more positions. Again, as programmers we always want to generalize our code so that it works for all cases. \n", + "We made the assumption that the movement error is at most one position. But it is possible for the error to be two, three, or more positions. As programmers we always want to generalize our code so that it works for all cases. \n", "\n", "This is easily solved with [*convolution*](https://en.wikipedia.org/wiki/Convolution). Convolution modifies one function with another function. In our case we are modifying a probability distribution with the error function of the sensor. The implementation of `predict_move()` is a convolution, though we did not call it that. Formally, convolution is defined as\n", "\n", @@ -2609,7 +4161,7 @@ "\n", "$$ (f \\ast g) [t] = \\sum\\limits_{\\tau=0}^t \\!f[\\tau] \\, g[t-\\tau]$$\n", "\n", - "Comparison shows that `predict_move()` is computing this equation.\n", + "Comparison shows that `predict_move()` is computing this equation - it computes the sum of a series of multiplications.\n", "\n", "[Khan Academy](https://www.khanacademy.org/math/differential-equations/laplace-transform/convolution-integral/v/introduction-to-the-convolution) [4] has a good introduction to convolution, and Wikipedia has some excellent animations of convolutions [5]. But the general idea is already clear. You slide an array called the *kernel* across another array, multiplying the neighbors of the current cell with the values of the second array. In our example above we used 0.8 for the probability of moving to the correct location, 0.1 for undershooting, and 0.1 for overshooting. We make a kernel of this with the array `[0.1, 0.8, 0.1]`. All we need to do is write a loop that goes over each element of our array, multiplying by the kernel, and summing the results. To emphasize that the belief is a probability distribution I have named it `pdf`." ] @@ -2652,14 +4204,15 @@ "cell_type": "code", "execution_count": 19, "metadata": { - "collapsed": false + "collapsed": false, + "scrolled": true }, "outputs": [ { "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2678,7 +4231,10 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "All of the elements are unchanged except the middle ones. The values in position 4 and 6 should be $(0.1 \\times 0.05)+ (0.8 \\times 0.05) + (0.1 \\times 0.55) = 0.1$. Position 5 should be $(0.1 \\times 0.05) + (0.8 \\times 0.55)+ (0.1 \\times 0.05) = 0.45$. \n", + "All of the elements are unchanged except the middle ones. The values in position 4 and 6 should be \n", + "$$(0.1 \\times 0.05)+ (0.8 \\times 0.05) + (0.1 \\times 0.55) = 0.1$$\n", + "\n", + "Position 5 should be $$(0.1 \\times 0.05) + (0.8 \\times 0.55)+ (0.1 \\times 0.05) = 0.45$$\n", "\n", "Let's ensure that it shifts the positions correctly for movements greater than one and for asymmetric kernels." ] @@ -2694,7 +4250,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2731,7 +4287,7 @@ "source": [ "## Integrating Measurements and Movement Updates\n", "\n", - "The problem of losing information during a prediction may make it seem as if our system would quickly devolve into no knowledge. However, we follow a prediction with an update step where we incorporate the measurement. The update improves our knowledge. The output of the update step is fed into the next prediction. The prediction degrades our certainty. That is passed into another update, where certainty is again increased.\n", + "The problem of losing information during a prediction may make it seem as if our system would quickly devolve into having no knowledge. However, each prediction is followed by an update where we incorporate the measurement into the estimate. The update improves our knowledge. The output of the update step is fed into the next prediction. The prediction degrades our certainty. That is passed into another update, where certainty is again increased.\n", "\n", "Let's think about this intuitively. Consider a simple case - you are tracking a dog while he sits still. During each prediction you predict he doesn't move. Your filter quickly *converges* on an accurate estimate of his position. Then the microwave in the kitchen turns on, and he goes streaking off. You don't know this, so at the next prediction you predict he is in the same spot. But the measurements tell a different story. As you incorporate the measurements your belief will be smeared along the hallway, leading towards the kitchen. On every epoch (cycle) your belief that he is sitting still will get smaller, and your belief that he is inbound towards the kitchen at a startling rate of speed increases.\n", "\n", @@ -2752,7 +4308,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2896,6 +4452,15 @@ "book_plots.plot_prior_vs_posterior(prior, posterior, ylim=(0,.5))" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "I ignored an important issue. Earlier I assumed that we had a motion sensor for the predict step; then, when talking about the dog and the microwave I assumed that you had no knowledge that he suddenly began running. I mentioned that your belief that the dog is running would increase over time, but I did not provide any code for this. In short, how do we detect and/or estimate changes in the process model if aren't directly measuring it?\n", + "\n", + "For now I want to ignore this problem. In later chapters we will learn the mathematics behind this estimation; for now it is a large enough task just to learn this algorithm. It is profoundly important to solve this problem, but we haven't yet built enough of the mathematical apparatus that is required, and so for the remainder of the chapter we will ignore the problem by assuming we have a sensor that senses movement." + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -2916,7 +4481,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2938,7 +4503,7 @@ "$$\\begin{aligned} \\bar {\\mathbf x} &= \\mathbf x \\ast f_{\\mathbf x}(\\bullet)\\, \\, &\\text{Predict Step} \\\\\n", "\\mathbf x &= \\|\\mathcal L \\cdot \\bar{\\mathbf x}\\|\\, \\, &\\text{Update Step}\\end{aligned}$$\n", "\n", - "$\\mathcal L$ is the usual way to write the likelihood function, so I use that. The $\\|\\bullet\\|$ notation denotes the norm.\n", + "$\\mathcal L$ is the usual way to write the likelihood function, so I use that. The $\\|\\|$ notation denotes taking the norm. We need to normalize the product of the likelihood with the prior to ensure $x$ is a probability distribution that sums to one.\n", "\n", "We can express this in pseudocode.\n", "\n", @@ -2949,7 +4514,7 @@ "**Predict**\n", "\n", " 1. Based on the system behavior, predict state at the next time step\n", - " 2. Adjust belief to account for the uncertainty in prediction\n", + " 2. Adjust belief to account for the uncertainty in prediction\n", " \n", "**Update**\n", "\n", @@ -3740,7 +5305,7 @@ { "data": { "text/html": [ - "" + "" ], "text/plain": [ "" @@ -4582,7 +6147,7 @@ { "data": { "text/html": [ - "" + "" ], "text/plain": [ "" @@ -5390,7 +6955,7 @@ { "data": { "text/html": [ - "" + "" ], "text/plain": [ "" @@ -5431,7 +6996,7 @@ "data": { "image/png": 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7vM8Up13ey/Ms5yprlE6Avg5Y2nreS0QMpsutklaQHVpZO7K/mVmNOO8VYPsL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\nuP3HZEdBrA/5ELBVIiIeIks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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -5473,6 +7038,8 @@ "\n", "A third problem is that the filter is multimodal. In the least example we ended up with strong beliefs that the dog was in position 4 or 9. This is not always a problem. Particle filters, which we will study later, are multimodal and are often used because of this property. But imagine if the GPS in your car reported to you that it is 40% sure that you are on D street, and 30% sure you are on Willow Avenue. \n", "\n", + "A forth problem is that it requires a measurement of the change in state. We need a motion sensor to detect how much the dog moves. There are ways to work around this problem, but it would complicate the exposition of this chapter, so, given the aforementioned problems, I will not discuss it further.\n", + "\n", "With that said, if I had a small problem that this technique could handle I would choose to use it; it is trivial to implement, debug, and understand, all virtues." ] }, @@ -5548,7 +7115,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "With that we are ready to write the filter. We will put it in a function so that we can run it with different assumptions. I will assume that the robot always starts at the beginning of the track. The track is implemented as being 10 units long, but think of it as a track of length, say 10,000, with the magnet pattern repeated every 10 units. 10 makes it easier to plot and inspect." + "With that we are ready to write the filter. We will put it in a function so that we can run it with different assumptions. I will assume that the robot always starts at the beginning of the track. The track is implemented as being 10 units long, but think of it as a track of length, say 10,000, with the magnet pattern repeated every 10 units. A length of 10 makes it easier to plot and inspect." ] }, { @@ -5632,7 +7199,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -5683,7 +7250,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -5783,7 +7350,7 @@ " return normalize(posterior)\n", "```\n", "\n", - "The last term to consider is the denominator $P(Z)$. This is the probability of getting the measurement $Z$ without taking the location into account. We compute that by taking the sum of $x$, or `sum(belief)` in the code. That is how we compute the normalization! So, the `update()` function is doing nothing more than computing Bayes theorem.\n", + "The last term to consider is the denominator $P(Z)$. This is the probability of getting the measurement $Z$ without taking the location into account. It is often called the *evidence*. We compute that by taking the sum of $x$, or `sum(belief)` in the code. That is how we compute the normalization! So, the `update()` function is doing nothing more than computing Bayes theorem.\n", "\n", "The literature often gives you these equations in the form of integrals. After all, an integral is just a sum over a continuous function. So, you might see Bayes' theorem written as\n", "\n", @@ -5800,7 +7367,7 @@ "source": [ "## Total Probability Theorem\n", "\n", - "We know now the formal mathematics behind the `update()` function; what about the `predict()` function? `predict()` implements the [*total probability theorem*](https://en.wikipedia.org/wiki/Law_of_total_probability). Let's recall what `predict()` computed. It computed the probability of being at any given position given the probability of all the possible movement events. Let's express that as an equation. The probability of being at any position $i$ at time $t$ can be written as $P(X_i^t)$. We computed that as the sum of the prior at time $t-1$ $P(X_j^{t-1})$ multiplied by the probability of moving from cell $x_j$ to $x_i$. That is\n", + "We now know the formal mathematics behind the `update()` function; what about the `predict()` function? `predict()` implements the [*total probability theorem*](https://en.wikipedia.org/wiki/Law_of_total_probability). Let's recall what `predict()` computed. It computed the probability of being at any given position given the probability of all the possible movement events. Let's express that as an equation. The probability of being at any position $i$ at time $t$ can be written as $P(X_i^t)$. We computed that as the sum of the prior at time $t-1$ $P(X_j^{t-1})$ multiplied by the probability of moving from cell $x_j$ to $x_i$. That is\n", "\n", "$$P(X_i^t) = \\sum_j P(X_j^{t-1}) P(x_i | x_j)$$\n", "\n", @@ -5874,7 +7441,7 @@ "metadata": { "anaconda-cloud": {}, "kernelspec": { - "display_name": "Python [default]", + "display_name": "Python 3", "language": "python", "name": "python3" }, @@ -5888,7 +7455,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.5.1" + "version": "3.5.2" } }, "nbformat": 4, diff --git a/03-Gaussians.ipynb b/03-Gaussians.ipynb index 9610797..a176b47 100644 --- a/03-Gaussians.ipynb +++ b/03-Gaussians.ipynb @@ -16,7 +16,7 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 1, "metadata": { "collapsed": false }, @@ -289,7 +289,7 @@ "" ] }, - "execution_count": 33, + "execution_count": 1, "metadata": {}, "output_type": "execute_result" } @@ -310,7 +310,7 @@ "\n", "The last chapter ended by discussing some of the drawbacks of the Discrete Bayesian filter. For many tracking and filtering problems our desire is to have a filter that is *unimodal* and *continuous*. That is, we want to model our system using floating point math (continuous) and to have only one belief represented (unimodal). For example, we want to say an aircraft is at (12.34, -95.54, 2389.5) where that is latitude, longitude, and altitude. We do not want our filter to tell us \"it might be at (1.65, -78.01, 2100.45) or it might be at (34.36, -98.23, 2543.79).\" That doesn't match our physical intuition of how the world works, and as we discussed, it can be prohibitively expensive to compute the multimodal case. And, of course, multiple position estimates makes navigating impossible.\n", "\n", - "We desire a unimodal, continuous way to represent probabilities that models how the real world works, and that is computationally efficient to calculate. As you might guess from the chapter name, Gaussian distributions provide all of these features." + "We desire a unimodal, continuous way to represent probabilities that models how the real world works, and that is computationally efficient to calculate. Gaussian distributions provide all of these features." ] }, { @@ -324,7 +324,7 @@ "\n", "Each time you roll a die the *outcome* will be between 1 and 6. If we rolled a fair die a million times we'd expect to get 1 1/6 of the time. Thus we say the *probability*, or *odds* of the outcome 1 is 1/6. Likewise, if I asked you the chance of 1 being the result of the next roll you'd reply 1/6. \n", "\n", - "This combination of values and associated probabilities is called a [*random variable*](https://en.wikipedia.org/wiki/Random_variable). *Random* does not mean the process is nondeterministic, only that we lack information. The result of a die toss is deterministic, but we lack enough information to compute the result. We don't know what will happen, except probabilistically.\n", + "This combination of values and associated probabilities is called a [*random variable*](https://en.wikipedia.org/wiki/Random_variable). Here *random* does not mean the process is nondeterministic, only that we lack information. The result of a die toss is deterministic, but we lack enough information to compute the result. We don't know what will happen, except probabilistically.\n", "\n", "While we are defining things, the range of values is called the [*sample space*](https://en.wikipedia.org/wiki/Sample_space). For a die the sample space is {1, 2, 3, 4, 5, 6}. For a coin the sample space is {H, T}. *Space* is a mathematical term which means a set with structure. The sample space for the die is a subset of the natural numbers in the range of 1 to 6.\n", "\n", @@ -334,7 +334,7 @@ "\n", "Do not confuse the *measurement* of the random variable with the actual value. If we can only measure the height of a person to 0.1 meters we would only record values from 0.1, 0.2, 0.3...2.7, yielding 27 discrete choices. Nonetheless a person's height can vary between any arbitrary real value between those ranges, and so height is a continuous random variable. \n", "\n", - "In statistics capital letters are used for random variables, usually from the latter half of the alphabet. So, we might say that $X$ is the random variable representing the die toss, or $Y$ are the heights of the students in the freshmen poetry class. In later chapters we will follow the convention of using lower case for vectors, and upper case for matrices. Unfortunately these conventions clash, and you will have to determine which an author is using from context. " + "In statistics capital letters are used for random variables, usually from the latter half of the alphabet. So, we might say that $X$ is the random variable representing the die toss, or $Y$ are the heights of the students in the freshmen poetry class. Later chapters use linear algebra to solve these problems, and so there we will follow the convention of using lower case for vectors, and upper case for matrices. Unfortunately these conventions clash, and you will have to determine which an author is using from context. " ] }, { @@ -376,7 +376,7 @@ "\n", "for discrete distributions, and as \n", "\n", - "$$\\int P(X{=}u) \\,du= 1$$\n", + "$$\\int\\limits_u P(X{=}u) \\,du= 1$$\n", "\n", "for continuous distributions." ] @@ -387,7 +387,7 @@ "source": [ "### The Mean, Median, and Mode of a Random Variable\n", "\n", - "Given a set of data we often want to know a representative or average value for that set. There are many measures for this, and the concept is called a [*measure of central tendency*](https://en.wikipedia.org/wiki/Central_tendency). For example we will want to know the *average* height of the students. We all know how to find the average, but let me belabor the point so I can introduce more formal notation and terminology. Another word for average is the *mean*. We compute the mean by summing the values and dividing by the number of values. If the heights of the students in meters is \n", + "Given a set of data we often want to know a representative or average value for that set. There are many measures for this, and the concept is called a [*measure of central tendency*](https://en.wikipedia.org/wiki/Central_tendency). For example we might want to know the *average* height of the students in a class. We all know how to find the average, but let me belabor the point so I can introduce more formal notation and terminology. Another word for average is the *mean*. We compute the mean by summing the values and dividing by the number of values. If the heights of the students in meters is \n", "\n", "$$X = \\{1.8, 2.0, 1.7, 1.9, 1.6\\}$$\n", "\n", @@ -406,7 +406,7 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 2, "metadata": { "collapsed": false }, @@ -429,7 +429,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "The *mode* of a set of numbers is the number that occurs most often. If only one number occurs most often we say it is a *unimodal* set, and if two or more numbers occur the most with equal frequency than te set is *multimodal*. For example the set {1, 2, 2, 2, 3, 4, 4, 4} has modes 2 and 4, which is multimodal, and the set {5, 7, 7, 13} has the mode 7, and so it is unimodal. We will not be computing the mode in this manner in this book, but we do use the concepts of unimodal and multimodal in a more general sense. For example, in the **Discrete Bayes** chapter we talked about our belief in the dog's position as a *multimodal distribution* because we assigned different probabilities to different positions.\n", + "The *mode* of a set of numbers is the number that occurs most often. If only one number occurs most often we say it is a *unimodal* set, and if two or more numbers occur the most with equal frequency than the set is *multimodal*. For example the set {1, 2, 2, 2, 3, 4, 4, 4} has modes 2 and 4, which is multimodal, and the set {5, 7, 7, 13} has the mode 7, and so it is unimodal. We will not be computing the mode in this manner in this book, but we do use the concepts of unimodal and multimodal in a more general sense. For example, in the **Discrete Bayes** chapter we talked about our belief in the dog's position as a *multimodal distribution* because we assigned different probabilities to different positions.\n", "\n", "Finally, the *median* of a set of numbers is the middle point of the set so that half the values are below the median and half are above the median. Here, above and below is in relation to the set being sorted. If the set contains an even number of values then the two middle numbers are averaged together.\n", "\n", @@ -438,7 +438,7 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 3, "metadata": { "collapsed": false }, @@ -461,7 +461,7 @@ "source": [ "## Expected Value of a Random Variable\n", "\n", - "The [*expected value*](https://en.wikipedia.org/wiki/Expected_value) of a random variable is the average value it would have if we took an infinite number of samples of it and then averaged those samples together. Let's say we have $x=[1,3,5]$ and each value is equally probable. What would we *expect* $x$ to have, on average?\n", + "The [*expected value*](https://en.wikipedia.org/wiki/Expected_value) of a random variable is the average value it would have if we took an infinite number of samples of it and then averaged those samples together. Let's say we have $x=[1,3,5]$ and each value is equally probable. What value would we *expect* $x$ to have, on average?\n", "\n", "It would be the average of 1, 3, and 5, of course, which is 3. That should make sense; we would expect equal numbers of 1, 3, and 5 to occur, so $(1+3+5)/3=3$ is clearly the average of that infinite series of samples. In other words, here the expected value is the *mean* of the sample space.\n", "\n", @@ -497,7 +497,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 4, "metadata": { "collapsed": true }, @@ -517,7 +517,7 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 5, "metadata": { "collapsed": false }, @@ -550,7 +550,7 @@ "\n", "$$\\mathit{VAR}(X) = E[(X - \\mu)^2]$$\n", "\n", - "Ignoring the squared terms for a moment, you can see that the variance is the *expected value* for how much the sample space ($X$) varies from the mean (squared, of course). We have the formula for the expected value $E[X] = \\sum\\limits_{i=1}^n p_ix_i$, and we will assume that any height is equally probable, so we can substitute that into the equation above to get\n", + "Ignoring the squared terms for a moment, you can see that the variance is the *expected value* for how much the sample space ($X$) varies from the mean. I will explain the purpose of the squared term later. We have the formula for the expected value $E[X] = \\sum\\limits_{i=1}^n p_ix_i$, and we will assume that any height is equally probable, so we can substitute that into the equation above to get\n", "\n", "$$\\mathit{VAR}(X) = \\frac{1}{n}\\sum_{i=1}^n (x_i - \\mu)^2$$\n", " \n", @@ -570,7 +570,7 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 6, "metadata": { "collapsed": false }, @@ -611,7 +611,7 @@ }, { "cell_type": "code", - "execution_count": 39, + "execution_count": 7, "metadata": { "collapsed": false }, @@ -643,7 +643,7 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": 8, "metadata": { "collapsed": false, "scrolled": true @@ -651,9 +651,9 @@ "outputs": [ { "data": { - "image/png": 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+ "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -679,7 +679,7 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 9, "metadata": { "collapsed": false }, @@ -688,15 +688,15 @@ "name": "stdout", "output_type": "stream", "text": [ - "mean = 1.808\n", - "std = 0.142\n" + "mean = 1.782\n", + "std = 0.140\n" ] }, { "data": { - "image/png": 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pl2vsGbfGnnkKZ1q7dq0SExO1cuVKLVu2TI8++qgyMzM1ffp0vfLKK6qtrdW6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\nAABgCIIbAACAIf4/SG+LeAXKqPYAAAAASUVORK5CYII=\n", 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -735,7 +735,7 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 10, "metadata": { "collapsed": false }, @@ -770,7 +770,7 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 11, "metadata": { "collapsed": false }, @@ -795,7 +795,7 @@ "\n", "I suggested we might be performing this analysis to order desks for a school district. For each age group there are likely to be two different means - one clustered around the mean height of the females, and a second mean clustered around the mean heights of the males. The mean of the entire class will be somewhere between the two. If we bought desks for the mean of all students we are likely to end up with desks that fit neither the males or females in the school! \n", "\n", - "It's too early to understand why, but we will not normally be faced with these problems in this book. Consult any standard probability text if you need to learn techniques to deal with these issues." + "We will not normally be faced with these problems in this book. Consult any standard probability text if you need to learn techniques to deal with these issues." ] }, { @@ -809,16 +809,16 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -845,14 +845,14 @@ "\n", "This is clearly incorrect, as there is more than 0 variance in the data. \n", "\n", - "Maybe we can use the absolute value? We can see by inspection that the result is $12/4=3$ which is certainly correct — each value varies by 3 from the mean. But what if we have $Y=[6, -2, -3, 1]$? In this case we get $12/4=3$. $Y$ is clearly more spread out than $X$, but the computation yields the same variance. If we use the correct formula we get a variance of 3.5 for $Y$, which reflects its larger variation.\n", + "Maybe we can use the absolute value? We can see by inspection that the result is $12/4=3$ which is certainly correct — each value varies by 3 from the mean. But what if we have $Y=[6, -2, -3, 1]$? In this case we get $12/4=3$. $Y$ is clearly more spread out than $X$, but the computation yields the same variance. If we use the formula using squares we get a variance of 3.5 for $Y$, which reflects its larger variation.\n", "\n", "This is not a proof of correctness. Indeed, Carl Friedrich Gauss, the inventor of the technique, recognized that is is somewhat arbitrary. If there are outliers then squaring the difference gives disproportionate weight to that term. For example, let's see what happens if we have $X = [1,-1,1,-2,3,2,100]$." ] }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 13, "metadata": { "collapsed": false }, @@ -874,7 +874,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Is this \"correct\"? You tell me. Without the outlier of 100 we get $\\sigma^2=2.89$, which accurately reflects how $X$ is varying absent the outlier. The one outlier swamps the computation. I will not continue down this path; if you are interested you might want to look at the work that James Berger has done on this problem, in a field called *Bayesian robustness*, or the excellent publications on *robust statistics* by Peter J. Huber [3]." + "Is this \"correct\"? You tell me. Without the outlier of 100 we get $\\sigma^2=2.89$, which accurately reflects how $X$ is varying absent the outlier. The one outlier swamps the computation. Do we want to swamp the computation so we know there is an outlier, or robustly incorporate the outlier and still provide an estimate close to the value absent the outlier? I will not continue down this path; if you are interested you might want to look at the work that James Berger has done on this problem, in a field called *Bayesian robustness*, or the excellent publications on *robust statistics* by Peter J. Huber [3]." ] }, { @@ -892,16 +892,16 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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HdhxDcGA9ExOJOB5vD1/G9n6KT5e/BcDuo5tp1bAzbULvNjmZSOmy2K5sXv/j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\nPejWcjDBgXXtH1BERMqt2kH1mTxwGkP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R3JHb3MPGoNGTes+mof5rtVp27drFm2++SXR0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\nAAAASUVORK5CYII=\n", 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AbNu2DXFxcU/cRqFQ4IMPPqi6lERUgUajxrqw5SgtKwEAuNapj74dRj9jKyL9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\n8OHDsXHjRgOk1Q9t1uDx48cICwvDuHHjYGZmhmn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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -919,30 +919,30 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "This curve is a [*probability density function*](https://en.wikipedia.org/wiki/Probability_density_function) or *pdf* for short. It shows the relative likelihood for the random variable to take on a value. In the chart above, a student is somewhat more likely to have a height near 1.8 m than 1.7 m, and far more likely to have a height of 1.9 m vs 1.1 m.\n", + "This curve is a [*probability density function*](https://en.wikipedia.org/wiki/Probability_density_function) or *pdf* for short. It shows the relative likelihood for the random variable to take on a value. In the chart above, a student is somewhat more likely to have a height near 1.8 m than 1.7 m, and far more likely to have a height of 1.9 m vs 1.4 m.\n", "\n", "> I explain how to plot Gaussians, and much more, in the Notebook *Computing_and_Plotting_PDFs* in the \n", "Supporting_Notebooks folder. You can read it online [here](https://github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/blob/master/Supporting_Notebooks/Computing_and_plotting_PDFs.ipynb) [1].\n", "\n", - "This may be recognizable to you as a 'bell curve'. This curve is ubiquitous because under real world conditions many observations are distributed in such a manner. In fact, this is the curve for the student heights given earlier. I will not use the term 'bell curve' to refer to a Gaussian because many probability distributions have a similar bell curve shape. Non-mathematical sources might not be as precise, so be judicious in what you conclude when you see the term used without definition.\n", + "This may be recognizable to you as a 'bell curve'. This curve is ubiquitous because under real world conditions many observations are distributed in such a manner. I will not use the term 'bell curve' to refer to a Gaussian because many probability distributions have a similar bell curve shape. Non-mathematical sources might not be as precise, so be judicious in what you conclude when you see the term used without definition.\n", "\n", "This curve is not unique to heights — a vast amount of natural phenomena exhibits this sort of distribution, including the sensors that we use in filtering problems. As we will see, it also has all the attributes that we are looking for — it represents a unimodal belief or value as a probability, it is continuous, and it is computationally efficient. We will soon discover that it also has other desirable qualities which we may not realize we desire.\n", "\n", - "To further motivate you, recall the shapes of the probability distributions in the *Discrete Bayes* chapter. They were not perfect Gaussian curves, but they were similar, as in the plot below. We will be using Gaussians to replace the discrete probabilities used in that chapter!" + "To further motivate you, recall the shapes of the probability distributions in the *Discrete Bayes* chapter:" ] }, { "cell_type": "code", - "execution_count": 47, + "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -955,6 +955,13 @@ "book_plots.bar_plot(belief)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "They were not perfect Gaussian curves, but they were similar. We will be using Gaussians to replace the discrete probabilities used in that chapter!" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -966,16 +973,16 @@ }, { "cell_type": "code", - "execution_count": 48, + "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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Izs0CwMfLj9H9fq9LkuLSAv3qkHjzg8Z4/Y5lpB1INjGRiLlUxERMsjPzJ9Zs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\nRK5CYII=\n", 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AYm9FYkHgchgZGr/UfnmsNAuP1xNFRUXPfL3WM276+vrw8vJCVFSUWn9UVBT8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\n6XRoaWnRa5NKpfDw8EBTU5NeXFpaGvedMYa0tDQIhUJEREQ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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -994,7 +1001,7 @@ "\n", "You may object that human heights or automobile speeds cannot be less than zero, let alone $-\\infty$ or $\\infty$. This is true, but this is a common limitation of mathematical modeling. “The map is not the territory” is a common expression, and it is true for Bayesian filtering and statistics. The Gaussian distribution above models the distribution of the measured automobile speeds, but being a model it is necessarily imperfect. The difference between model and reality will come up again and again in these filters. Gaussians are used in many branches of mathematics, not because they perfectly model reality, but because they are easier to use than any other relatively accurate choice. However, even in this book Gaussians will fail to model reality, forcing us to use computationally expensive alternatives. \n", "\n", - "You will see these distributions called *Gaussian distributions* or *normal distributions*. *Gaussian* and *normal* both mean the same thing in this context, and are used interchangeably. I will use both throughout this book as different sources will use either term, and I want you to be used to seeing both. Finally, as in this paragraph, it is typical to shorten the name and talk about a *Gaussian* or *normal* — these are both typical shortcut names for the *Gaussian distribution*. " + "You will hear these distributions called *Gaussian distributions* or *normal distributions*. *Gaussian* and *normal* both mean the same thing in this context, and are used interchangeably. I will use both throughout this book as different sources will use either term, and I want you to be used to seeing both. Finally, as in this paragraph, it is typical to shorten the name and talk about a *Gaussian* or *normal* — these are both typical shortcut names for the *Gaussian distribution*. " ] }, { @@ -1032,7 +1039,7 @@ }, { "cell_type": "code", - "execution_count": 49, + "execution_count": 17, "metadata": { "collapsed": false, "scrolled": true @@ -1040,9 +1047,9 @@ "outputs": [ { "data": { - "image/png": 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LiomJYfXq1QBs376dyMjIEkPdyjEilYHdbmfGso/IKyh6oLdWtfr0bD3U5FQi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\n", 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jE4Y8bTz+LyLX6tIqjHZNQwGwY2f+mplagklqNBVlIpUgOe1CsdsvQ7uPIbB+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\nKb7k9ES+3fQJK6Lm0/O2wdze+Q786gW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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1076,7 +1083,7 @@ }, { "cell_type": "code", - "execution_count": 50, + "execution_count": 18, "metadata": { "collapsed": false }, @@ -1123,7 +1130,7 @@ }, { "cell_type": "code", - "execution_count": 51, + "execution_count": 19, "metadata": { "collapsed": false }, @@ -1151,7 +1158,7 @@ }, { "cell_type": "code", - "execution_count": 52, + "execution_count": 20, "metadata": { "collapsed": false, "scrolled": true @@ -1159,19 +1166,9 @@ "outputs": [ { "data": { + "image/png": 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+p5ubG4KDg62Qu6bPrKBs3759GDt2LEJDQ6FUKrFp0yazL3DmzBn4+fmhZcuWjc4kEVFT\nc+uWfr11a6Cu/10MyqgpWbZsGRITE9G/f3+j/VVVVbhx44ZZS1VVlYNy79zMCspKSkrQs2dPrFy5\nEt7e3mafXK1WY/LkyRgyZEhj80dE1CSZ03Qp9zrnvyRHKSoqwqxZs9CmTRsolUrdolKpdH3JkpOT\nMWbMGMTExODw4cPIysrSHX/gwAG0a9eu3iUwMBBpaWmOeptOzaw+ZfHx8YiPjwcATJs2zeyTL1iw\nAFFRURg8eDD27t3buBwSETVB5nTylxgGZVZ4mI2owYqLizF48GAMHToUe/fuxeHDh/HUU0/h4MGD\nCAgIQFhYGFJTUzFjxgx4eXlBq9VCo9Hg6tWrunPcc8892LVrl1nXi4qKstVbadJs1tH/f//7H7Zt\n24bDhw/j888/t9VliIicUmGhfr1167rTGvY3MzyOmq7Fi23709oWLFiAPn364J133gEA9OrVC6tW\nrcKlS5fQu3dvAEBcXByKi4tNnqNVq1YYOnSobTLoImwSlF25cgUzZ87Et99+26DmTiKi5sIwuKqv\nSy2DMnKkgoICfPDBB0ZNkYDogtSQvl9qtRoFZnaK9Pf3h5ubW4Py6QpsEpQ9+uijePrppxETEwMA\n0Gq1Zh2XkZFhi+w0eSwXeSwX01g28uxZLr/9FgCgIwBArb6OjIwLJtOWlLQH0AEAkJWVi4yM322e\nv5r4mZEnlUtERAQ8PT0dnBvbOHDgADp06GA0FEVJSQmysrJ0/8fNkZaWhri4uHrTKRQKpKamYvDg\nwY3KryMVFxcjMzNT9rWuXbtafH6bBGWpqanYt28fFv9Rzyq1Pbu7u2Pt2rWYMWOGLS5LROQ0Skr0\nj1v6+lbXmdbwdcPjqOmq2cxo7W1rqqioQEhIiNG+zZs3Y+TIkQgPDzf7POxTZjmbBGU1o8hvvvkG\nb7zxBtLT02v94g01JCJ3BdI3NJaLMZaLaSwbeY4oly1b9OtduwYhJibIZNrjx/XrHh6BiIkJtGHO\njPEzI69muZSXlzsyOzZ1//3348UXX4RGo4FSqUROTg7Wr1+PrVu3Nug8lvQpW7NmDW7duoWbfzx+\n/MMPP0CtVgMAnnnmGfj5+TXqvNbm5+dn8m+l0Ap9D8wKykpLS3H27FldjVdOTg6OHj0Kf39/hIWF\nITExEenp6boI+a677jI6Pj09HUqlEj169LA4w0RETYHh/bmugWMB4wcB2KeM7C0oKAhJSUmYOXMm\nQkJCcPXqVWzZsgVhYWF2y0NSUhJycnIAiObNlJQUpKSkABBdopwlKLM1s4KyjIwMxMXF6eajWrRo\nERYtWoRp06bhgw8+QF5eHrKzs22aUSKipoQd/akpGT9+PMaPH++w6zOGEMwKymJjY6GpY5bcDRs2\n1Hn8tGnTGjS+GRFRUydNsQTUX1Nm+LrhTABE5Fo49yURkQ2wpoyIGopBGRGRDTS2poxBGZHrYlBG\nRGQDDenob1iTVlQE1NFbhIiaMQZlREQ2YFhTVl/zpZsbIE1+otUCJSW2yxcROS8GZURENtCQmrKa\nadiESeSaGJQREVmZWg2UlYl1pRLw8an/GAZlRMSgjIjIymo2Xf4xxGOdGJQREYMyIiIra8hwGBIG\nZUTEoIyIyMoaMhyGhFMtERGDMiIiK2toJ/+a6RiUEbkmBmVERFbWkOEwJAzKiIhBGRGRlVlaU8b5\nL4lck1kTkhMRkfnY0Z+aq40bN0KtVmP37t1ISEjA+PHjHZ2lZoU1ZUREVtaYjv4MysjZ/fzzz2jf\nvj1mzJiBFStW4JFHHsGNGzcsPu/evXuhVCprLSqVCr/88osVct50sKaMiMjKWFNGzdHp06fx+eef\nY8SIEQgKCoK3tzcuX76Mtm3bWuX8c+bMwb333mu074477rDKuZsKBmVERFbGmjJqjh599FGMGjUK\nAHDixAn4+voiMjLSaue/7777kJCQYLXzNUVmNV/u27cPY8eORWhoKJRKJTZt2lRn+r1792LcuHEI\nCQmBj48PoqKisGHDBqtkmIjI2XFIDGqu2rZtC61Wi1dffRWffvopVCqVVc9fWlqK6upqq56zKTEr\nKCspKUHPnj2xcuVKeHt715s+LS0NvXr1wpdffonjx4/jb3/7G2bOnIlPP/3U4gwTETk7DolBzdmy\nZcuQmJiI/v37G+2vqqrCjRs3zFqqqqpqnffJJ5+En58fPD09ERcXh/T0dHu9JadhVvNlfHw84uPj\nAQDTpk2rN31iYqLR9qxZs5Camoovv/wSkyZNakQ2iYiaDtaUUVNUVFSEBQsWIDk5GYUGH0KFQoF/\n//vfmDNnDpKTkzFmzBhERkbi8OHD8PLyQvfu3QEABw4cQFxcXL3XUSgUSE1NxeDBgwEA7u7uePDB\nBzFq1CgEBATgxIkTSEpKQmxsLPbt24fo6GjbvGEnZLc+ZUVFRQgLC7PX5YiIHMbSjv5FRYBGAyj5\nfHyTtXgx8NprtfcvWiReszS9tRUXF2Pw4MEYOnQo9u7di8OHD+Opp57CwYMHERAQgLCwMKSmpmLG\njBnw8vKCVquFRqPB1atXdee45557sGvXLrOuFxUVpVsfMGAABgwYoNseM2YMJkyYgF69eiExMRE7\nd+603ht1cnYJyrZu3YoffvgBaWlpdabLyMiwR3aaHJaLPJaLaSwbefYql+vXewLwAADk5ByDRlNh\n1nFeXr1RVqaCVgv8+OOv8PXV2DCXxviZkSeVS0REBDw9PR2cG9tZsGAB+vTpg3feeQcA0KtXL6xa\ntQqXLl1C7969AQBxcXEoLi42eY5WrVph6NChVslPly5dMHbsWHz11Veorq62et+1xiouLkZmZqbs\na127drX4/DYPyg4cOIApU6Zg1apVLlUFSUSuq6RE/w/Ex8f8Tsu+vtUoK1PpzmHPoIxcV0FBAT74\n4ANkZWUZ7Ver1bJ9v0xRq9UoKCgwK62/vz/c3NzqTBMWFga1Wo3i4mK0bt3a7Hw0ZTYNyvbv34/R\no0fj9ddfx8yZM+tNHxMTY8vsNDnSNzSWizGWi2ksG3n2LBetFigt1W/Hxt4Dd3fzjg0IAK5dE+sd\nO0bBiqMNmMTPjLya5VJeXt6g4xcvblizY0PTW9OBAwfQoUMHdOrUSbevpKQEWVlZDfpcpKWlNapP\nmSnnzp2Du7s7WprbB8AO/Pz8TJZJoRU6g9osKPvxxx8xZswYLFmyBHPnzrXVZYiInMrt24D0RL+n\nJ8wOyADOf0mOUVFRgZCQEKN9mzdvxsiRIxEeHm72eRrbp+z69esICAgwev3o0aPYsmULRo4cCaUL\nda40KygrLS3F2bNndR37cnJycPToUfj7+yMsLAyJiYlIT0/X/TL27NmDMWPGYPbs2Zg0aRLy8/MB\nACqVqlbBExE1J40ZDkPCJzDJEe6//368+OKL0Gg0UCqVyMnJwfr167F169YGnaexfcoeeugheHl5\nYeDAgQgMDMTx48fx3//+Fz4+Pli2bFmDz9eUmRWUZWRkIC4uDgqFAgCwaNEiLFq0CNOmTcMHH3yA\nvLw8ZGdn69Jv3LgRZWVlSEpKQlJSkm5/REQEzp8/b+W3QETkPBozHIZcegZlZC9BQUFISkrCzJkz\nERISgqtXr2LLli12GzFh/Pjx+Pjjj7F8+XIUFRUhICAAEyZMwMKFC9GlSxe75MFZmBWUxcbGQqMx\n3eG05mj9GzZs4Aj+ROSSGjMchoRBGTnK+PHjMX78eIdce86cOZgzZ45Dru1sXKehlojIDhoz76Vc\negZlRK6HQRkRkRWxpoyIGotBGRGRFbGmjIgai0EZEZEVWdLR33B8TAZlRK6HQRkRkRVxSAwiaiwG\nZUREVsQhMYiosRiUERFZETv6E1FjMSgjIrIia3X05zRLRK6HQRkRkRWxpqz50mq1js4COZA9fv8M\nyoiIrMiSmjLDIK64GKhjIhWyM3d3d5SXlzMwc1HV1dUoLy+Hu7u7Ta9j1jRLRERkHks6+rdoAfj4\nAKWlgFYrArOGnoNsQ6lUwsPDAxUVFY7OisMVFxcDAPz8/BycE/tRKBTw9PTUzQFuKwzKiIisyJIh\nMQARhJWWivXCQgZlzkSpVMLT09PR2XC4zMxMAEBMTIyDc9L8sPmSiMiKLKkpq3kM+5URuRYGZURE\nVlJVpa/lUigAX9+Gn4NBGZHrYlBGRGQlf3S1AQD4+QHKRtxhOdUSkesy65axb98+jB07FqGhoVAq\nldi0aVO9x2RmZmLIkCHw9vZGWFgYlixZYnFmiYicmSXDYUhYU0bkuswKykpKStCzZ0+sXLkS3t7e\n9aYvLi7G8OHD0b59exw6dAj//ve/8fbbb2P58uUWZ5iIyFlZMhyG3HEMyohci1lPX8bHxyM+Ph4A\nMG3atHrTf/TRRygrK8PGjRvh7u6OHj164OTJk3jnnXfw3HPPWZZjIiInZWkn/5rHMSgjci026VP2\n008/4f777zcaZG3kyJG4cuUKLl68aItLEhE5nKXDYQAMyohcmU2Csry8PAQFBRntCwoKglarRV5e\nni0uSUTkcNauKeP8l0SuxakGj83IyHB0FpwSy0Uey8U0lo08W5fLsWPtAEQAACoqriEjo+EtAwUF\n/gA6AwCys28gIyPbijk0jZ8ZeSwX01g2xrp27WrxOWxSUxYcHIz8/Hyjffn5+VAoFAgODrbFJYmI\nHK6kRKVb9/WtbtQ5fHz0xxmej4iaP5vUlA0YMAAvvfQSKisrdf3Kdu7ciZCQEERERJg8jlM2GJO+\nhbBcjLFcTGPZyLNXuXz1lX79zjuDERPT8C+h0uCzQmub55mfGXksF9NYNvIKrdAJ1KyastLSUhw9\nehRHjhyBRqNBTk4Ojh49ikuXLgEAEhMTMWzYMF36hx9+GN7e3njsscdw/PhxfPXVV1i2bBmef/55\nizNMROSsOCQGEVnCrKAsIyMDvXv3RnR0NMrLy7Fo0SL06dMHixYtAiA69mdn6/s9tGzZEikpKbhy\n5Qr69u2LuXPn4oUXXsC8efNs8y6IiJwAh8QgIkuY1XwZGxsLjUZj8vUNGzbU2nf33Xdjz549jc4Y\nEVFTY40hMTjNEpHr4tyXRERWYo2aMsNgrrgYqOP7MBE1MwzKiIisxBo1ZSoV4Osr1rVa40nOiah5\nY1BGRGQl1qgpq3ksmzCJXAeDMiIiKzEMoBpbUwYwKCNyVQzKiIisQKu1zpAYNY9lUEbkOhiUERFZ\nQXk5oFaLdTc3wMOj8efi/JdErolBGRGRFdSsJVMoGn8u1pQRuSYGZUREVmCtTv41j2dQRuQ6GJQR\nEVmBNYbDkDAoI3JNDMqIiKyANWVEZCkGZUREVmCt4TAATrVE5KoYlBERWYG1hsOoeTyDMiLXwaCM\niMgKrFlTxqCMyDUxKCMisgLWlBGRpRiUERFZATv6E5GlGJQREVkBh8QgIkuZHZStXbsWnTt3hpeX\nF2JiYrB///4603///fcYOHAgWrZsiXbt2mHcuHE4c+aMxRkmInJGrCkjIkuZFZQlJydj3rx5eOWV\nV3DkyBEMHDgQ8fHxuHz5smz6CxcuYNy4cYiNjcWRI0ewe/dulJeXY/To0VbNPBGRs7BmR3/D44uK\ngOpqy85HRE2DWUHZ8uXLMX36dEyfPh3dunXDypUr0b59e6xbt042/aFDh1BVVYU33ngDnTt3Rq9e\nvfDSSy/h3LlzKCgosOobICJyBtbs6K9SAb6++u3iYsvOR0RNQ71BmVqtxqFDhzB8+HCj/SNGjEBa\nWprsMX379oWbmxvee+89aDQaFBcX48MPP0S/fv3g7+9vnZwTETkRa9aUAWzCJHJF9QZl169fR3V1\nNYKCgoz2BwUFIS8vT/aY8PBw7Ny5EwsXLoSHhwdat26N48ePY8uWLdbJNRGRk7FmTRnAUf2JXFEL\nW5w0Pz8fTzzxBKZNm4bJkyejuLgYCxcuxMSJE5GammryuIyMDFtkp8ljuchjuZjGspFny3K5ebM3\nABUA4Pz5w7h2zbKOYCpVdwCiDfPnn7NQWVliYQ7rxs+MPJaLaSwbY127drX4HPUGZQEBAVCpVMjP\nzzfan5+fj+DgYNlj1qxZA19fX/zzn//U7du8eTPCwsKQlpaGgQMHWphtIiLnodEApaUq3ba3t+U9\n83199ee5sTIRAAAgAElEQVQoKVHVkZKImot6gzI3NzdER0cjJSUFEyZM0O1PSUnBxIkTZY+5ffs2\nVCrjm4hSKVpKNRqNyWvFxMSYlWlXIX0LYbkYY7mYxrKRZ+tyMWxe9PUF+ve3/Drh4YDUbTcwsCts\n9SvlZ0Yey8U0lo28Qiv0MzDr6cv58+fjww8/xPvvv4+srCw8++yzyM3NxaxZswAAiYmJGDZsmC79\n6NGj8euvv2LJkiU4e/Ysfv31Vzz++OMIDw9HdHS0xZkmInIm1u7kD7CjP5ErMqtPWUJCAgoKCrB0\n6VLk5uYiMjIS27dvR2hoKAAgLy8P2dnZuvRxcXH45JNP8NZbb+Htt9+Gt7c37r33XuzYsQNeXl62\neSdERA5i7U7+Nc/DoIzINZjd0X/WrFm6mrGaNmzYUGtfQkICEhISGp8zIqImgjVlRGQNnPuSiMhC\nrCkjImtgUEZEZCFrznspd55bt6xzTiJybgzKiIgsZFhTxuZLImosBmVERBaydU0ZgzIi18CgjIjI\nQrbo6M9plohcD4MyIiIL3bypX2/TxjrnZE0ZkethUEZEZCEGZURkDQzKiIgsZIugzM9Pv15cDFRb\nPp0mETk5BmVERBYyHLLCsC+YJVSq2oEZETVvDMqIiCxki5oygE2YRK6GQRkRkYUYlBGRNTAoIyKy\ngFbLoIyIrINBGRGRBW7fBtRqse7hAXh5We/cDMqIXAuDMiIiC9iqlgzg/JdEroZBGRGRBQyDJVsG\nZawpI2r+GJQREVnAsKbMWsNhyJ2PQRlR82d2ULZ27Vp07twZXl5eiImJwf79++s9ZsWKFejRowc8\nPT3RoUMHvPzyyxZllojI2dir+ZJBGVHz18KcRMnJyZg3bx7Wr1+PQYMGYc2aNYiPj8fJkycRGhoq\ne8z8+fOxbds2JCUlITIyEoWFhcjNzbVq5omIHI1BGRFZi1lB2fLlyzF9+nRMnz4dALBy5Urs2LED\n69atw9KlS2ulP3XqFFavXo3MzEzceeeduv1RUVFWyjYRkXNgUEZE1lJv86VarcahQ4cwfPhwo/0j\nRoxAWlqa7DHfffcdunTpgm3btqFLly7o1KkTHnvsMVy7ds06uSYichIMyojIWuqtKbt+/Tqqq6sR\nFBRktD8oKAi7d++WPeb8+fO4cOECkpOTsWnTJgDA888/jwceeAAHDx40ea2MjIyG5N1lsFzksVxM\nY9nIs0W5nDoVBkDcH0tKLiEjI99q587N9QXQHQDw++8lyMjIstq5a+JnRh7LxTSWjbGuXbtafA6z\nmi8bSqPRoLKyEh999BG6dOkCANi8eTO6deuG9PR09O3b1xaXJSKyu+JilW7dz6/Kquf29a3WrZeU\nqOpISUTNQb1BWUBAAFQqFfLzjb/95efnIzg4WPaY9u3bo0WLFrqADBARpEqlQk5OjsmgLCYmpiF5\nb/akbyEsF2MsF9NYNvJsWS5Kg04gffp0QkxMJ6udu107/XplpZdN8s/PjDyWi2ksG3mFVuhjUG+f\nMjc3N0RHRyMlJcVof0pKCgYNGiR7zKBBg1BVVYXs7GzdvnPnzqG6uhoREREWZpmIyHnYcpwy9ikj\nci1mjVM2f/58fPjhh3j//feRlZWFZ599Frm5uZg1axYAIDExEcOGDdOlHzZsGPr06YPp06fjyJEj\nOHz4MJ544gkMGDCAkTURNSu27Ojv56dfLy4GqqtNpyWips+sPmUJCQkoKCjA0qVLkZubi8jISGzf\nvl03RlleXp5RrZhCocDWrVvxzDPPIDY2Fl5eXhgxYgT+9a9/2eZdEBE5iC2DMpVKBGbFxWK7qMj6\n1yAi52F2R/9Zs2bpasZq2rBhQ619QUFBSE5ObnzOiIiaAFsGZYBoEpWCssJCBmVEzRnnviQiaqTy\ncrEAQIsWgI+P9a/BfmVEroNBGRFRI926pV9v0wZQKKx/DQZlRK6DQRkRUSPZuukSYFBG5EoYlBER\nNZIth8OQMCgjch0MyoiIGqmgQL/u72+baxjWwBlej4iaHwZlRESNdO2aft1w9H1rCgjQr1+/bptr\nEJFzYFBGRNRI9gjKDM9reD0ian4YlBERNZJhkGRYo2VNrCkjch0MyoiIGskwSGJNGRFZikEZEVEj\nsfmSiKyJQRkRUSPZu6M/gzKi5o1BGRFRI9m7T9mNG4BGY5vrEJHjMSgjImoke/Qpc3fXDyCr0RgP\nWEtEzQuDMiKiRqioAIqLxbpKZbsR/QE2YRK5CgZlRESNULPp0haTkUsMa+E4LAZR82V2ULZ27Vp0\n7twZXl5eiImJwf79+8067syZM/Dz80PLli0bnUkiImdjj07+cudnTRlR82VWUJacnIx58+bhlVde\nwZEjRzBw4EDEx8fj8uXLdR6nVqsxefJkDBkyxBp5JSJyGvboTyZh8yWRazArKFu+fDmmT5+O6dOn\no1u3bli5ciXat2+PdevW1XncggULEBUVhQcffNAqmSUichaOqilj8yVR81VvUKZWq3Ho0CEMHz7c\naP+IESOQlpZm8rj//e9/2LZtG1atWmV5LomInIw9hsOQsPmSyDXUG5Rdv34d1dXVCAoKMtofFBSE\nvLw82WOuXLmCmTNn4uOPP4a3t7d1ckpE5ETMqSnTaICcHON906YBVVX67ffeA65erftaDMqIXEML\nW5z00UcfxdNPP42YmBgAgFarNeu4jIwMW2SnyWO5yGO5mMaykWfNcjl5MhxAIADg9u2LyMgQ0VJF\nhQIeHuKed+mSBx599C788MNhKP/4Cvz5570xffpR+PiIUWBffrkXgoOzEBxcCQB4990QxMXdRNeu\nZbpr3bzZCkBXAMC5c4XIyDhjtfch4WdGHsvFNJaNsa5du1p8jnprygICAqBSqZCfn2+0Pz8/H8HB\nwbLHpKam4rXXXoObmxvc3NwwY8YMlJSUwN3dHe+9957FmSYicrSbN910623aiKqvK1fcMWZML1RW\nivExQkMr4OdXhStX3HVpPT01KC8Xt96qKgVu3myBgIBK3fYnnwSiZUt9VdqFC55o3Vq/feuWTb5L\nE5ETqPev283NDdHR0UhJScGECRN0+1NSUjBx4kTZYzIzM422v/nmG7zxxhtIT09HSEiIyWtJNWsk\nSN9CWC7GWC6msWzk2aJcDJsgo6K6QDr1XXcBN25E4y9/EdtTpgABAb10r7/3HnD//ffA2xsoLQUW\nLwbuvVe8mJYGREUBo0dHARCj9w8fDnz/vf5apaU+Vn0f/MzIY7mYxrKRV1hYaPE5zPrKNX/+fEyd\nOhV9+/bFoEGDsG7dOuTm5mLWrFkAgMTERKSnp2PXrl0AgLvuusvo+PT0dCiVSvTo0cPiDBMROQPD\nvl0//wyMGiXWn3kGSE+HLihLSjI+7q9/1a/7+AD/+Id+u2tXYO1a/fb77wNjxgCGt868PECrte1g\ntUTkGGYFZQkJCSgoKMDSpUuRm5uLyMhIbN++HaGhoQCAvLw8ZGdn2zSjRETO4MIF4PJl46EpkpNF\njZdCASQkND5gatfOuFO/Wg3Mmwf4+gIeHmJqJ7UauH1bBHRE1LyYPaL/rFmzcP78eZSVlSE9PR2D\nBg3SvbZhwwacO3fO5LHTpk1DUVGRZTklInICv/wCTJ1qHJS98IIIlgDr1mAlJgLR0eKc/v76/VIt\n3W+/AZWV1rseETkW574kIqrH5cuiyRAAJk4U/cYkbdsCTzwBuLvLH2stgYH69dxcID9f9Dc7fty2\n1yUi+2FQRkRUB60WGDtWdNAHRK3V3Ln61zt0sE8+IiL065cuAU8/DTz+ONC7t9in0egDRyJqmvhs\nNRFRHRQKYMMGYMQIYORIIDwcKNMPIWa3oMzwOr//Lh4smDJFv2/pUvFE6Guv2Sc/RGR9rCkjIqrh\n1i3g4YdFh3oA6NULWLUKKC4W27//rk9rr6Dsj+eqAABXrogmU09PsZ2aKp7afOop++SFiGyDQRkR\nUQ2tWomfzzyj3zdxInD33WLdMCgzDJZsqWZNmaG0NGDTJkAaBvLmTeCLL+yTLyKyHgZlRER/kIId\nhQL4z3+AjAzg7FnT6QDHNF9evmz82j/+ITr9A6IJ86GHgP377ZMvIrIeBmVERBDBV+/ewKlTYtvP\nDzh0CLjjjtppHd18WbOmzNC//iV+Gg5aywcAiJoGBmVERBDB15tvipH4CwrEPpVKPq1hTZWjOvqb\nCrT+9jfgs8+AFn88xvXLL+IBBQZmRM6PT18Skcu6dAnYtk3fQf6JJ8TI+VIHelMc0afMz08sxcVi\nZP+CAjFGWk0tW+rXz50Tw3m8+y6nZSJqClhTRkQuq0ULYNky/RhkAPDII4C3t+ljioqAkhKx7ukJ\ntGlj2zwaqqtfmZxffxXTP0nzcGq1QFaWTbJGRFbAoIyIXI7UlNe+PbBjB/D662Kib3PU7E9mzxoo\nc/uVSSZONB4m4403xICzbMokck4MyojIpRw7Jp5UlMYgu/NO4ORJIDjYvOMd0clf7nrmBGWGPv1U\n1Ah+9RWbMomcFYMyInIpd98tArDJk8XwEQDg5WX+8Y7o5C93vYYGZQMGANu3i9pBQPRJe+st1poR\nORMGZUTU7Gm1wO+/ixnDlUrggw9EYHbtWsPP5YhO/pKG9ikzFBEBdO8u1svKxAMA+fmsNSNyJgzK\niKjZu3jRE48/3gNHj4ptd3cxOKxUa9QQjmy+bGifMlPWrgXCwoC339bvY40ZkeMxKCOiZq9jx3K8\n8EIORo9ueA1TTU21T5mhefOADz8UtYYAcOiQL+LjGZgROZrZQdnatWvRuXNneHl5ISYmBvvrmMNj\n7969GDduHEJCQuDj44OoqChs2LDBKhkmIjLHzZvA+vX67eHDb+L994HAQMvOm5OjX3dkTVlOTuOD\nKJVK1BYCwNmzXnj55S5YsIBNmUSOZlZQlpycjHnz5uGVV17BkSNHMHDgQMTHx+Oyia+caWlp6NWr\nF7788kscP34cf/vb3zBz5kx8+umnVs08EZEpWi2wciXwzjv6fSNH6oORxp7zzBn9ttwUTLYUGAj4\n+Ij1wkLg+nXLz3nunBeefz4HQ4eK7ZrvkYjsx6wR/ZcvX47p06dj+vTpAICVK1dix44dWLduHZYu\nXVorfWJiotH2rFmzkJqaii+//BKTJk2yQraJiORptaLGx99fjEF2331ARIQHIiIqLD53bi5QWirW\n27QBAgIsPmWDKBRiCI/Dh8X26dNAu3aWnXPkyAKj7cREMefnzp2sOSOyt3prytRqNQ4dOoThw4cb\n7R8xYgTS0tLMvlBRURHa2HPoayJyORcuAEOGiFokAAgPB44fh1UCMkAEQZI773RM0NKtm3x+rGHd\nOuCbb8SYZgzIiOyv3pqy69evo7q6GkFBQUb7g4KCsHv3brMusnXrVvzwww/1BnEZGRlmnc/VsFzk\nsVxMc9Wy0WqBwMBwDBvmiZUrz8DNzbjTlaXlsnNnAICOAIC2ba8jI+OCRedrDF/fEAAhAIC9e3PR\ns6cFPf4NZGRkoF07D7z9thbZ2ZXIzgauX2+B1NQ2mDixEWOHNBOu+rdkDpaNsa5du1p8Dps/fXng\nwAFMmTIFq1atQnR0tK0vR0Qu6PJlDwCidufvf89BREQ58vPdrH6dixf1M5WHh1un9q2hwsPLdeuG\n+bGGjh0r0L59JQCgtFSJ557rilu3zOrlQkRWUO9fW0BAAFQqFfLz84325+fnI7ieeUn279+P0aNH\n4/XXX8fMmTPrzUxMTEy9aVyJ9C2E5WKM5WKaK5ZNTg4QHw98950YtR4AvvgCAPSPWVqrXIqK9Otx\ncR0QHS0ev5Rr6vvhB6C4GKioACorgepqsX/CBMDXt3b6HTtEWg8P4+Xuu8XE5xKtFli4UKxfu9bG\n4vdkqmxefhkYPBhYv94HCoV4n9XV4slNV+CKf0vmYtnIK5T6TVig3qDMzc0N0dHRSElJwYQJE3T7\nU1JSMHHiRJPH/fjjjxgzZgyWLFmCuXPnWpxRIiI54eHAxo3A+PHAgQNAly6NO095OXD1qhh2QinT\nhjBuHLBrl357xgwxVdO1a+KhgpqmTJGf5HzIEPmgbPZs4Pz52vvPnDF+ytOwheTECRGQBgaKDv8B\nAcD06ZYP+wEAixaJAEwKOL/+WpTzN99Yfm4ikmdWvfT8+fMxdepU9O3bF4MGDcK6deuQm5uLWbNm\nARBPW6anp2PXH3esPXv2YMyYMZg9ezYmTZqkq2VTqVQIsPfjSkTU7Fy6BKxaBSxbJoKGUaOAjz5q\n2Lhhs2cDZ8+Kmrbffxe1WoCYekguqElPF4GbREpfVCQflHl4mJ8XQNSSyal5ntatRf6uXhW1Zjt2\nGL/+4IPy+Z8wQeQ5NFSUU2ioWFq2VMLLS1PndY8cAWbOFHNnEpHtmBWUJSQkoKCgAEuXLkVubi4i\nIyOxfft2hP4xkmFeXh6ys7N16Tdu3IiysjIkJSUhKSlJtz8iIgLn5b4KEhE1QLt2wI8/Aq+/Drz6\nqtjXs6cYyuHsWbGcOyd+mgokduyQr5m6elU+qGndGrhypfZ+wyZNQ3/6kziX1AzZ4o+7rTTOWE1/\n/rNIX1kpAjRp8faunfbOO0VaOaaGyNi7F7hxo/b+LVtawMurstb+L74Qw3506QL89huwejUgtVZV\nVgK7d4taOiKyHrN7cM6aNUtXM1ZTzdH6N2zYwBH8iciqtFpRq9Whg+hj9fXXQFycaEZs3170f5Ib\nIuLcOfnmyLAw46CsRQsRjEnjkNU0fTrw97+L9QEDgK1bAT8/wM3E8wTvv9+w9/fee+anvfNOQJpU\nZeZMoH9/MZDs9etAy5a105eXywdkCgUQEKCutV+rFe9Xqg1s0QLo3Bn4+GMxPdNLL4kaxT//mUNn\nEFkTH6shIqd09izw66/AsWNAZiaQkSHmrfz+e2DECBGIHTumD4ruuEM+KDt7VgQxNb3yigiywsJE\nM56/f90BhuFrUVHyTZb2YjhWmbu7CKDq4uYmmiAvX9Yvv/8uAtAWLWrP1XTjhj4gA4CqKlG2Fy4A\n334LHDwIpKXpy6SqCpg7VwRu3bsDkZFARIR8MExEpjEoIyKH0WrFE30tZO5Ezzwj3/Q4Z44I0tzd\njWup7rlHdKy/4w6xdOkifvbqJQKzmoYNa1hef/tNv24YFDmC4fUN82WKSiUCyaio2q/JDTVVWQk8\n+qioSTx/XsxkAIiHDCZMEGXn5yf2ZWUBf/0rcPKk8Tl8fIDevUUzM2vTiMzDoIyI7KKwUAQQx47p\na7+OHQNWrAAee6x2+p49awdlSqUItDS1+6Vj6VKx2MrBg/r1fv1sdx1z9O2rX09PB9Rq082ojRES\nAmzapN8uLRVPgZaUiOZRqYm0tFQ8WBAfXzsoKy0Vv3O5gOzaNeD//k/UqPXsKYb9aNXKevknaqoY\nlBGRVUlzT9a0ZAnwr3/V3n/smPx5BgwAhg4Ffv5Z1JolJIimMU/rjpdqlhs39E2jbm5Anz72z4Oh\nkBAxFEhODlBWJsrQlnny8RE1kTWdOQMMHw48+yzQqZMYomPHDhGMFRSIoEvO0aPiwQFDYWHAAw/U\n3k/kShiUEVGjaDSiaatmzde4ccCbb9ZO37On/HnOnTPe3rFD/DMfN04sW7aI2rQ33rD+ezDXzz/r\n13v3dkxgWNO994qgDBC1eI4IFO+5Rx+szZkDbN4smiszM0WfNMMhRAxlZtbed+mS/MMIgJi/dOtW\n8Rnq1Us87MEmUWqOGJQRUaNs2gQ8/njt/YcPy6eX/oFLTVbSUnNssawsICkJ2LlTNFf+5S/iKT9H\nMmy6lGYNcLQBA4DPPhPrBw+KcdccqbQUePFF0eTs7S2WjAwRvHfqZJx2yBARuEuBfFaW6MdmKnDf\nvVs88Slp3VoEZ9Om1f+QA1FTwqCMiHSKi0WthGHtV4cOogakJlNNU8ePy++PipIP2LRaUbsyeLDY\nnjsX+OQTYN06faBhzf5SjeGsQZnEMH+O4uMjmiWlcdLKyoBJk4B//7t2UGZYwwaIPnFnzpjuV1bz\nYYZbt8RnZvhw+fQ//SRqEXv2FA8nyD1IQuSM+FElIgAiYJJrAgsLk09/111iWIq779bXfkVGiu2G\nqK4GZs0S/c3i48WTgp984jwdv6urgV9+0W87S1DWu7cYlLaiQjQjmxr01p4MB6597TUx2Ozo0WK7\nokIES7GxtY9zcxOfJ1PGjBHvVXpQRJpi0FTN2oYNwLvvinUPD3Hunj2Bp54CBg5s+PsishcGZUTN\nWFWVGA4iM1PUYGVmAjdvGs/hKLnzTtFPR1tj2KpLl0TNROvWxvu9veVHuDdHbq4IIqKiRC3GO++I\nwCwzU8wLaTjXo6OdOKEfs6t9e9NBqr25u4sgWqolO3gQGDvWsXkyNH68GKtMsnq1mKRdLiirj9S/\nEBCfz0uXRHB2773y6Q1r1ioqxBeOw4dNl09amggM775bfgYFInthUEbUTJWXi2ly5DpbFxXVHvnd\nx0eMf6VSGff7ioyUHyXeEj/9JKZHOnJEBGV//jPwj384Z+ftLVv06wMHOlceBw3SB2VbtzpXUNa/\nv3792jXRh0yahQAQ5dqnT8PmKwVE+YeHi8WUP/9ZfIk4dkwMkisxVbP2wgv6wXDvuEOkCwhoj7Fj\nrzcsc0QWYlBG1IQUFgKnTumXrCzxc+/e2iPMe3qKmh2DaWl1jh+Xb4Y7ftw2o7BrtcA//ylG0Hdz\nE7UeK1eKqYWk2duefNL617WUViumFpL89a+Oy4uc8ePFQxGAmKty9eqGT4RuD1qt+H137y62b94U\nD4kYPtVqTYsW6dcLCvR9JDt3ls+b9DSoViv6tp05AwAdMHx4gez5v/lGNBV36wa0bWv17JMLY1BG\n5GTUavGNXa5zct++0j8MY6dOyQdZkZHifFK/L8P+X3KsHZBpNOKcCoWoHdu4UcxVqVAAq1aJGhRn\nduyYaL4ERLPWAw84Nj81DRgAdOwopj+6dUtMQeVseQREAPPww/rt5ctFPrt0EduXLgELF4q+YNbm\n7y+aTE01m5aWAiNHiibPM2f0AxN7eGgQFlZRK71WK2Y7KCkR2wEBItjs3l28L19f678Hch0Myogc\naNcuMWyANJ3NuXPiqbHdu8WwATV169awoOzLLx335OKqVeIfV2Ki2J43T9SOTJ0q+kOZenrTmfy/\n/6dff+AB5/uHq1CIJxz/+U+x/cknzhmU1TR8uHHfvNWrjfss5uSI5nR71EL5+uqHFikrE0H4sWPA\n0aO/Q6WqnT43Vx+QAWIS+P37xd/xf/5TO311tagF7tRJBKHS0ratczWFk3NgUEZkZVqtaDK5dEm/\nDB2qb7ox9J//iGanms6flw/KoqJEc2S3bsaLqSce7RmQXbkixqh64gmxHRcnaiCkJsshQ4D165vO\n8ARVVSLIkRjW9DiThx/WB2XffSeauJ3lyVVT7r9fv15RAXzwgXFT5ssvi6msnnlGbJuaJcLavLyA\n6GixZGTky6aprBSBsNR1oKxM7L/zTvma5suX5WsAIyJEDWdNVVUi0AsM5ITurqiJ3B6JnINWK5qJ\nVCr5zu+JiWJcJulGLVmzRj4ok+vjAgD58v8P8PrrYnEGGo0Y4FUa2NXbW3SYfughUfsQGSn+8fzy\ni+iQrlA4fhDYhvjPf/Qj5rdpIwJMZyQ9jJGZKT53r78OvP22o3NlPg8P8WRkaKjYLiwUDy2sWKFP\nM2SIqE0z1exuTx076mtQNRrxpSsrS9SIyak5Y4XEVC3g6dPiS5a7u6hNDA8XP++5B3juOYuzT07O\n7Dh87dq16Ny5M7y8vBATE4P9ho/RyMjMzMSQIUPg7e2NsLAwLFmyxOLMEtmKqRvq55+L5qB+/USA\n4ekp+qisXy+f3t29dkAGiJovOUOHinkDV64U/4hOnBDHS01+zmbPHlELCIgga9YsMeQGIJqf+vcX\nZSbZu1cEZE3N9evi6VDJ3/8ufrfO6uWX9esrVoggoSmRAjJA1LjOni36agHAxYvi76JHD7FdWSk+\nUxW1u3vZnVIp7gsjRwKjRsmnufNOMRDy3/8uHszo1Us0zUr96WqSvghUVoqALjVVzJ7x1Vfy6Q8d\nEk+xjh4taqn/8Q8RwO7ebfn7I/szq6YsOTkZ8+bNw/r16zFo0CCsWbMG8fHxOHnyJEIN/5r+UFxc\njOHDh2PIkCE4dOgQTp48icceewy+vr54jqE+2ZBaLb5pK5W1n0YERPPahg1ijr0bN0SAceOG6O+0\ndGnt9BcuGA+JILl0Sf76Uj8ZX1+xLi39+smnHznSeWtgABFg9eypr+VLShLT2vz1ryIoGz4c+Ppr\nUUMGiM7ahv2uHD0Sf2NUV4ug4OZNsd25MzB/vmPzVJ9Jk4C1a0Xfpqoq0Yfp+++b5phbPXoY/y3u\n3i2+GEnN3j/9JIZ5kZ4yzcoS73ffPrFdUiKW4GD75tuU0FD9E8YSrVb+yxsgHjzw99d/+ZGYGgLk\n4kX9OGyGRo0C/vSn2un37xeBW9u2IvCVfvbsCYwYYd57ItsxKyhbvnw5pk+fjul/TDK2cuVK7Nix\nA+vWrcNSmf9kH330EcrKyrBx40a4u7ujR48eOHnyJN555x0GZVSnGzdER/bbt8XNqahILHfcIT+l\nymefAa+8ok8n3ehmzxbfFmu6eNG4JkdiqrkwKKj2Pl9f8Y9PzqRJwMSJommzKXTiPXtWvBcp6Hrr\nLdGX5bHHxPbevaJPjPR6//6i7480NMRDD4kylTjLaPeNVVYmHkaQOn4D4ok6Z5iAvC4KhahtjY4W\n//D37xf/lL/+WjS9NmXTpxv359u1y/he8MsvxmOd7dwpnvL99luxfeyYaBKcMEFs374tvrQ58neq\nUJgOmCdMEEtJib5Pak6O8UC8hnJz5febCkqzs8UUVTVNmiQflH32GfD006KforRotV3Qr18RYmJq\np790SQyt4+NjvLRu7XwPyjijeoMytVqNQ4cO4QXpq/AfRowYgbS0NNljfvrpJ9x///1wN6jvHzly\nJH/a8d8AAAz0SURBVBYuXIiLFy8iwtSniyym0Yhq7+pqsVRViZ9ubrVHZAdE/6gLF/TppWPatpWf\n9uT0aWDHDnGNigrxs7JS9GmZMqV2+pQU0cfl9m3jZfx4+SbA//1PTDJc09Sp8kFZRYX804g3btTe\nB8jXngGiuUrOkCHiCcbgYLEEBYkbjCm2vulotWKROgAXFYnR5qV/Srm57igoaKG7We7fLwbPfOgh\nsf3RR6JzstSb4JtvxOvLl4ttd3fRHCIFZf36Adu26a8/fDiQnq7fHjbMJm/TrqqqRPPYjh2i6c/w\nn9xTT4kJ0ZuC3r3FAK3SxN1794on/ubOFdMU9e7t3E2wdTEMoBYsMG66zMgwHqg2K8u4/2ZqqghE\npKDs/feBkydFzSIAJCeLL4DSxOYZGaLGXarlvXBB/L1JNVWlpWLby8uqb7EWX19Rayg125ry8MPi\n7zQ3F8jL0/+87z759Kbudab6uEmtCcb31DZo3Vr+m+n27eLvpqbp00XZ1/T55+LLoIeH+D1LP+Pj\nxfA5NR05In6nnp7i8+zmJmpRu3eXnyYuL08EtVI66WebNvLvubpaP5SPNJyPPSm02pqTqhjLzc1F\nhw4d8OOPP+I+g9/ykiVL8Mknn+DkyZO1jhk5ciTCwsLw3nvv6fZdunQJEREROHjwIPob/AUVSpOY\nAWjlBI8MvfCC6JQt/cFVVYmgo0MH8UuXPqBdu4rXs7NFu79UlV5VJZaQEBHU3Lwp/ggM0589q/+D\nlwKh9u1FYGOYvrCwEL//7o7Ll710j2ZrNGIJDhZ9E2qe/+xZfR8fQ0FBoqPozZsi/9I0NufOmU4f\nFSWfXq7jalCQPj8108v1pwoMFOeXylNKLw0NUVO7dvr8XLlSgdDQCrRs2RLZ2bXTK5UiP1L5S+fX\nakWNWF6eaFJwcxMBYlGRKD+Fonb+CwrEIvX/qPm6qW3D9DWPl9uWOvxLTarS7/P6dbFI/2SuXhXb\nd92lfz8FBfob98WLZSgqaoGePcUHLD9fXEM6XkovbV+7JhYpAL95U9SMSR2qKypE4N6YORXrvrPY\n95iSP8Yw8P0jatZqxe/+1i0RlMr1KZwzRzy00dSegEtK0jcnG1IoxH2mVSvxxcLbW/xTKy4uhEIB\ntGzZSvcPyPCn3D5notGI36d0jzx1CvDzE/dgQNSU+fjo/8ZOnBDvW/qbzcoSx0p/c6dOifcYGHgL\nAJCb2xotWuhfr5n+5Elx/5fOf/q0OH/HjmL73Dl9p31A3K88PPRfpGpuZ2eLbSn/Fy6I46XtixfF\ndvv25m97eOhrzs6eFWXm6yv+t127JsovLEwcUzN9Roa4Z9bUoUM5evf2rJX+0CH52ruOHcX/uKaY\nXqEQX3DuuksEeO7u+vSHD4v78uOPA2+9ZXk841RPXxoGaI7yyiticR6VfyxUm+M/L86JnxfTGvaZ\nkea8bEqefLKxsyPw78mYFH2yXExzgqctmpl6vwMGBARApVIhv0anm/z8fASbaLQODg6WTa9QKEwe\nQ0REROTK6g3K3NzcEB0djZSUFKP9KSkpGGTiWfcBAwZg3759qKzUf2PfuXMnQkJC2J+MiIiISEa9\nfcoA4LPPPsPUqVOxZs0aDBo0COvWrcOGDRtw4sQJhIaGIjExEenp6di1axcAoKioCN27d8eQIUPw\nj3/8A6dOncLjjz+O1157DfPmzbP5myIiIiJqaszqU5aQkICCggIsXboUubm5iIyMxPbt23VjlOXl\n5SE7O1uXvmXLlkhJScHs2bPRt29ftGnTBi+88AIDMiIiIiITzKopIyIiIiLbstvD3vv27cPYsWMR\nGhoKpVKJTZs2mUz71FNPQalU4p133rFX9hzKnLI5ffo0JkyYgDZt2sDHxwcxMTE4deqUA3JrP/WV\nS2lpKebOnYuwsDB4e3uje/fuWGE4YV4z9eabb6Jfv35o1aoVAgMD8cADD+D48eO10i1evBgdOnSA\nt7c34uLicOLECQfk1n7qK5eqqiq8+OKLiIqKgq+vL0JCQjBlyhRcMjU9QzNi7mdG4ir3YHPLxRXv\nv+aUjSveg9euXYuoqCi0atUKrVq1wsCBA7HNcDBHWHbvtVtQVlJSgp49e2LlypXwrmPujy+++ALp\n6enoYDhEczNXX9lcuHAB9913H7p06YI9e/bg+PHjeP3113VjLjVX9ZXLc889h+3bt+Pjjz9GVlYW\nXnnlFbz00kv4+OOPHZBb+/nxxx8xZ84cHDx4EKmpqWjRogWGDRuGW7du6dIsW7YMy5cvx5o1a5CR\nkYHAwEAMHz4cpaWlDsy5bdVXLrdv38aRI0fw6quv4vDhw/juu+9w6dIlxMfHQ6PRODj3tmXOZ0bi\nSvdgc8rFVe+/5pSNK96Dw8LC8NZbb+Hw4cM4dOg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"text/plain": [ - "" - ] - }, - "execution_count": 52, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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xKwxcRIGJgYuIyAWOdJi33IeBiyhwMHAREbnAtP+WrcuJAAMXUaBi4CIicgFbuIjIHgxc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\nvPMOgoODERoaigULFgTclGNa9fLQQw8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- "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1186,7 +1183,7 @@ "plt.plot(xs, gaussian(xs, 23, 0.05), label='$\\sigma^2$=0.05', c='b')\n", "plt.plot(xs, gaussian(xs, 23, 1), label='$\\sigma^2$=1', ls=':', c='b')\n", "plt.plot(xs, gaussian(xs, 23, 5), label='$\\sigma^2$=5', ls='--', c='b')\n", - "plt.legend()" + "plt.legend();" ] }, { @@ -1217,16 +1214,16 @@ }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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Yua/baGOixeOnD7Jq5zyTU4m4LxUhERPkF+Ty09KPjXGzeh1oXr+jiYmkNIWHRtKzzb3G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\nhjPY7EVk550j+3dnwxWXVx4aS7VKkVe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SNe7q/idjRvcNu5fQMKYFrep3MTmZyNXTHiFxGzm5WXy54E3sDjsANaMbcGvH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\nyfnd1XAl5YX73qNKWI0r3s/icDgcl7o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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1249,16 +1246,16 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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D65CSlYhpI1+Fcy8PkaslIl1hACOixyIvv4r4Q+uQX5qj1e7u4IPx4c/B22WASJV1LDKZ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\noGxqvPO5AY132hqbGtDYWN8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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1297,9 +1294,22 @@ "\n", "A remarkable property of Gaussians is that the product of two independent Gaussians is another Gaussian! The sum is not Gaussian, but proportional to a Gaussian.\n", "\n", - "The discrete Bayes filter works by multiplying and adding probabilities. I'm getting ahead of myself, but the Kalman filter uses Gaussians instead of probabilities, but the rest of the algorithm remains the same. This means we will need to multiply and add Gaussians. \n", + "The discrete Bayes filter works by multiplying and adding arbitrary probability distributions. The Kalman filter uses Gaussians instead of arbitrary distributions, but the rest of the algorithm remains the same. This means we will need to multiply and add Gaussians. \n", "\n", - "The Gaussian is a nonlinear function, and typically if you multiply a nonlinear equation with itself you end up with a different equation. For example, the shape of `sin(x)sin(x)` is very different from `sin(x)`. But the result of multiplying two Gaussians is yet another Gaussian. This is a fundamental property, and a key reason why Kalman filters are computationally feasible. Said another way, Kalman filters use Gaussians *because* they are computationally nice. \n", + "The Gaussian is a nonlinear function. Typically, if you multiply a nonlinear equation with itself you end up with a different type of equation. For example, the shape of `sin(x)sin(x)` is very different from `sin(x)`. But the result of multiplying two Gaussians is yet another Gaussian. This is a key reason why Kalman filters are computationally feasible. Said another way, Kalman filters use Gaussians *because* they are computationally nice. \n", + "\n", + "\n", + "The product of two independent Gaussians is given by:\n", + "\n", + "$$\\begin{aligned}\\mu &=\\frac{\\sigma_1^2\\mu_2 + \\sigma_2^2\\mu_1}{\\sigma_1^2+\\sigma_2^2}\\\\\n", + "\\sigma^2 &=\\frac{\\sigma_1^2\\sigma_2^2}{\\sigma_1^2+\\sigma_2^2} \n", + "\\end{aligned}$$\n", + "\n", + "The sum of two Gaussians is given by\n", + "\n", + "$$\\begin{gathered}\\mu = \\mu_1 + \\mu_2 \\\\\n", + "\\sigma^2 = \\sigma^2_1 + \\sigma^2_2\n", + "\\end{gathered}$$\n", "\n", "The remainder of this section is optional. I will derive the equations for the sum and product of two Gaussians. You will not need to understand this material to understand the rest of the book, so long as you accept the results. " ] @@ -1310,12 +1320,6 @@ "source": [ "### Product of Gaussians\n", "\n", - "The product of two independent Gaussians is given by:\n", - "\n", - "$$\\begin{aligned}\\mu &=\\frac{\\sigma_1^2\\mu_2 + \\sigma_2^2\\mu_1}{\\sigma_1^2+\\sigma_2^2}\\\\\n", - "\\sigma^2 &=\\frac{\\sigma_1^2\\sigma_2^2}{\\sigma_1^2+\\sigma_2^2} \n", - "\\end{aligned}$$\n", - "\n", "You can find this result by multiplying the equation for two Gaussians together and combining terms. The algebra gets messy. I will derive it using Bayes theorem. We can state the problem as: let the prior be $N(\\bar\\mu, \\bar\\sigma^2)$, and measurement be $z \\propto N(z, \\sigma_z^2)$. What is the posterior x given the measurement z?\n", "\n", "Write the posterior as $P(x \\mid z)$. Now we can use Bayes Theorem to state\n", @@ -1437,7 +1441,7 @@ }, { "cell_type": "code", - "execution_count": 55, + "execution_count": 23, "metadata": { "collapsed": false, "scrolled": true @@ -1468,7 +1472,7 @@ }, { "cell_type": "code", - "execution_count": 56, + "execution_count": 24, "metadata": { "collapsed": false }, @@ -1499,7 +1503,7 @@ }, { "cell_type": "code", - "execution_count": 57, + "execution_count": 25, "metadata": { "collapsed": false }, @@ -1508,9 +1512,9 @@ "name": "stdout", "output_type": "stream", "text": [ - "[-0.308 1.55 4.163 0.148 -2.413 3.39 6.311\n", - " 3.682 1.681 3.063 1.402 0.148 -0.208 5.415\n", - " -4.221]\n" + "[ 1.441 -1.375 1.349 0.612 3.477 4.749 1.203\n", + " -2.042 7.189 -0.289 0.525 4.164 -0.256 -0.485\n", + " -0.805]\n" ] } ], @@ -1528,7 +1532,7 @@ }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 26, "metadata": { "collapsed": false }, @@ -1555,7 +1559,7 @@ }, { "cell_type": "code", - "execution_count": 59, + "execution_count": 27, "metadata": { "collapsed": false }, @@ -1586,23 +1590,23 @@ "\n", "However, a key part of the proof is “under certain conditions”. These conditions often do not hold for the physical world. The resulting distributions are called *fat tailed*. Tails is a colloquial term for the far left and right side parts of the curve where the probability density is close to zero.\n", "\n", - "Let's consider a trivial example. We think of things like test scores as being normally distributed. If you have ever had a professor “grade on a curve” you have been subject to this assumption. But of course test scores cannot follow a normal distribution. This is because the distribution assigns a nonzero probability distribution for *any* value, no matter how far from the mean. So, for example, say your mean is 90 and the standard deviation is 13. The normal distribution assumes that there is a large chance of somebody getting a 90, and a small chance of somebody getting a 40. However, it also implies that there is a tiny chance of somebody getting a grade of -10, or 150. It assigns an infinitesimal chance of getting a score of $-10^{300}$ or $10^{32986}$. The *tails* of a Gaussian distribution are infinitely long.\n", + "Let's consider a trivial example. We think of things like test scores as being normally distributed. If you have ever had a professor “grade on a curve” you have been subject to this assumption. But of course test scores cannot follow a normal distribution. This is because the distribution assigns a nonzero probability distribution for *any* value, no matter how far from the mean. So, for example, say your mean is 90 and the standard deviation is 13. The normal distribution assumes that there is a large chance of somebody getting a 90, and a small chance of somebody getting a 40. However, it also implies that there is a tiny chance of somebody getting a grade of -10, or 150. It assigns an infinitesimal chance of getting a score of $-10^{300}$ or $10^{32986}$. The tails of a Gaussian distribution are infinitely long.\n", "\n", "But for a test we know this is not true. Ignoring extra credit, you cannot get less than 0, or more than 100. Let's plot this range of values using a normal distribution." ] }, { "cell_type": "code", - "execution_count": 60, + "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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MgROVEAQ3gO5nXcapxksckf/qO1tm5CnMoMSijIiIJNO3uEjnqcvvlZ6cKW7X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\n9yK1Wo233npLbB8+fLhfrvf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+ "image/png": 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WOhdV6pkP3tUqDncjJDBCfH2k7FvxwQqivmAhR0REw1aL4UccP31Y3F4wa3EP0X0TOGU+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\nefR/TEbjZk0Okjijoc9pxCg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oKAj29vYmMdXV1SgvL+fPoQ/a2toQExODkpISHDhwABMm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\n2SgWckREREQ2ioUcERERkY36/8al4HiWBOGGAAAAAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1621,16 +1625,16 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "The area under the curve cannot equal 1, so it is not a probability distribution. What actually happens is that more students than predicted by a normal distribution get scores nearer the upper end of the range (for example), and that tail becomes “fat”. Also, the test is probably not able to perfectly distinguish incredibly minute differences in skill in the students, so the distribution to the left of the mean is also probably a bit bunched up in places. The resulting distribution is called a [*fat tail distribution*](https://en.wikipedia.org/wiki/Fat-tailed_distribution). \n", + "The area under the curve cannot equal 1, so it is not a probability distribution. What actually happens is that more students than predicted by a normal distribution get scores nearer the upper end of the range (for example), and that tail becomes “fat”. Also, the test is probably not able to perfectly distinguish minute differences in skill in the students, so the distribution to the left of the mean is also probably a bit bunched up in places. The resulting distribution is called a [*fat tail distribution*](https://en.wikipedia.org/wiki/Fat-tailed_distribution). \n", "\n", - "Kalman filters use sensors to measure the world. The errors in a sensor's measurements are rarely truly Gaussian. It is far too early to be talking about the difficulties that this presents to the Kalman filter designer. It is worth keeping in the back of your mind the fact that the Kalman filter math is based on an idealized model of the world. For now I will present a bit of code that I will be using later in the book to form fat tail distributions to simulate various processes and sensors. This distribution is called the [*Student's $t$-distribution*](https://en.wikipedia.org/wiki/Student%27s_t-distribution). \n", + "Sensors measure the world. The errors in a sensor's measurements are rarely truly Gaussian. It is far too early to be talking about the difficulties that this presents to the Kalman filter designer. It is worth keeping in the back of your mind the fact that the Kalman filter math is based on an idealized model of the world. For now I will present a bit of code that I will be using later in the book to form fat tail distributions to simulate various processes and sensors. This distribution is called the [*Student's $t$-distribution*](https://en.wikipedia.org/wiki/Student%27s_t-distribution). \n", "\n", "Let's say I want to model a sensor that has some white noise in the output. For simplicity, let's say the signal is a constant 10, and the standard deviation of the noise is 2. We can use the function `numpy.random.randn()` to get a random number with a mean of 0 and a standard deviation of 1. I can simulate this with:" ] }, { "cell_type": "code", - "execution_count": 61, + "execution_count": 29, "metadata": { "collapsed": false }, @@ -1650,7 +1654,7 @@ }, { "cell_type": "code", - "execution_count": 62, + "execution_count": 30, "metadata": { "collapsed": false }, @@ -1658,18 +1662,18 @@ { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 62, + "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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IQcb5Xz2L33aoHaMBj5VAyldepZQaXV4Tiz96svrS8/kyV3Zzi340flk51Kky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\nHxCf458nXIJ+PQbhvVXP6Reoc/sThp2JzJxN+vlYSMh9vgx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BfgEjlx64zYZL5zl9appOpiFxuVzYsGMFMUxhWa72tCU6yazj3sZIa24JXYXo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\n8eNhMpnw/fff4+jRo1i6dCm6dJH3ZA4Ak8fdphiGhHD09vT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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1692,7 +1696,7 @@ }, { "cell_type": "code", - "execution_count": 63, + "execution_count": 31, "metadata": { "collapsed": false }, @@ -1713,7 +1717,7 @@ }, { "cell_type": "code", - "execution_count": 64, + "execution_count": 32, "metadata": { "collapsed": false }, @@ -1721,18 +1725,18 @@ { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 64, + "execution_count": 32, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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DbheVli/mZQr86Wr0wgc5ykoV/narN3+NjYxvKybrgmyFoexl1EIm7BQ6WOVb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\nfPXVV/jyyy8RExOD4cOHo0uXLigpKcGYMWNw/vx5JCcnY+b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7eUjTr4p/Zx7djjXbF+Gz2a/j2MlDCocggZF/OAOlOWO504bZrNUBbes+X7BW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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1812,7 +1816,7 @@ "metadata": { "anaconda-cloud": {}, "kernelspec": { - "display_name": "Python [default]", + "display_name": "Python 3", "language": "python", "name": "python3" }, @@ -1826,7 +1830,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.5.1" + "version": "3.5.2" } }, "nbformat": 4, diff --git a/04-One-Dimensional-Kalman-Filters.ipynb b/04-One-Dimensional-Kalman-Filters.ipynb index 3a5f7d2..efb6335 100644 --- a/04-One-Dimensional-Kalman-Filters.ipynb +++ b/04-One-Dimensional-Kalman-Filters.ipynb @@ -340,21 +340,11 @@ "collapsed": false }, "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - }, { "data": { "image/png": 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AFyd3AEBNfSVSsxMEJyIiU8VSRkRd5ur1fGQXpgMAFAolpoycKzhR91OprDAxdLY8Ppy+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\nRU5ErkJggg==\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -367,7 +357,7 @@ "\n", "import filterpy.stats as stats\n", "stats.plot_gaussian_pdf(mean=10, variance=1, \n", - " xlim=(4, 16), ylim=(0, .5))" + " xlim=(4, 16), ylim=(0, .5));" ] }, { @@ -390,14 +380,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "Mean of readings is 9.982\n" + "Mean of readings is 10.043\n" ] }, { "data": { - "image/png": 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joYyyNFJGWVdXF6ZOnYr77rsPZWX21OFoNIpPfepTuPvuu3OS3i16MBeFvStK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1OunnO6ujoTPk9qKA3FuRXac7s0psjnjL4eY3KKdycTltSE2+KxXkHvKWO3M5mGbC8wyryRz2RX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\n9J9jRtmoU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qqsrouke7tuJQU/r1nDnnYdr4czM6pyj90TCe3Jx+XVRUlPHvseP3D/9PqqNuPLYCN37r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\nB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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -437,7 +427,7 @@ "\\mathbf x &= \\mathcal L \\cdot \\bar{\\mathbf x}\\, \\, &\\text{Update}\n", "\\end{aligned}$$\n", "\n", - "to compute the new probability distributions. Recall that $\\bar{\\mathbf x}$ is the *prior*, $\\mathcal L$ is the *likelihood* of a measurement given the prior $\\bar{\\mathbf x}$, and $f_{\\mathbf x}(\\bullet)$ is the *process model*, and $\\ast$ denotes *convolution*. $\\mathbf x$ is bold to denote that it is a histogram of numbers, or a vector.\n", + "to compute the new probability distributions. Recall that $\\bar{\\mathbf x}$ is the *prior*, $\\mathcal L$ is the *likelihood* of a measurement given the prior $\\bar{\\mathbf x}$, $f_{\\mathbf x}(\\bullet)$ is the *process model*, and $\\ast$ denotes *convolution*. $\\mathbf x$ is bold to denote that it is a histogram of numbers, or a vector.\n", "\n", "This method works, but led to histograms that implied the dog could be in multiple places at once. Also, the computations are very slow for large problems.\n", "\n", @@ -456,7 +446,7 @@ "data": { "image/png": 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HJSIuSkmZiDi/i8BmYN819dUACxAM1KnsoK7hjTGerBPwJUYP2emC9y4Cm4AvgEFAUzMC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\n/v37zQ6hQrn7+bmCbGu2Yxs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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -474,7 +464,7 @@ "source": [ "I hope you see the power of this. We can replace hundreds to thousands of numbers with a single pair of numbers: $x = \\mathcal N(\\mu, \\sigma^2)$. \n", "\n", - "The tails of the Gaussian extend to infinity on both sides, so it incorporates arbitrarily many bars in the histogram. If this represents our belief in the position of the dog in the hallway, this one Gaussian covers the entire hallway (and the entire universe in one direction). We think that it is likely the dog is at 10, but he could be at 8, 14, or, with infinitesimally small probability, at 10$^{80}$. \n", + "The tails of the Gaussian extend to infinity on both sides, so it incorporates arbitrarily many bars in the histogram. If this represents our belief in the position of the dog in the hallway, this one Gaussian covers the entire hallway (and the entire universe on that axis). We think that it is likely the dog is at 10, but he could be at 8, 14, or, with infinitesimally small probability, at 10$^{80}$. \n", "\n", "In this chapter we replace histograms with Gaussians:\n", "\n", @@ -550,7 +540,7 @@ "\n", "It makes sense that the predicted position is the previous position plus the movement. What about the variance? It is harder to form an intuition about this. However, recall that with the `predict()` function for the discrete Bayes filter we always lost information. We don't really know where the dog is moving, so the confidence should get smaller (variance gets larger). $\\mu_{f_x}^2$ is the amount of uncertainty added to the system due to the imperfect prediction about the movement, and so we would add that to the existing uncertainty. \n", "\n", - "Here is our implementation of the predict function, where `pos` and `movement` are Gaussian tuples:" + "Here is our implementation of the predict function, where `pos` and `movement` are Gaussian tuples in the form ($\\mu$, $\\sigma^2$):" ] }, { @@ -615,7 +605,7 @@ "\n", "```python\n", "def update(likelihood, prior):\n", - " posterior = prior * likelihood\n", + " posterior = likelihood * prior\n", " return normalize(posterior)\n", "```\n", "\n", @@ -715,7 +705,7 @@ "data": { "image/png": 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2fMuOn9eSbbVN/XAq4Qjzls9mZJ8JDO1xV6Vdi1NEKieHkrJx48aRlJTE3Llz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\nZkCP52h9j59V9/mnv8G/Dl59/bf/goEPSUImGpd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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -746,7 +736,7 @@ "source": [ "The result of the multiplication is taller and narrow than the original Gaussian but the mean is unchanged. Does this match your intuition?\n", "\n", - "Think of the Gaussians as two measurements. If I measure twice and get 10 meters each time, I should conclude that the length is close to 10 meters. Thus the mean should be 10. I am more confident with two measurements than with one, so the variance of the result should be smaller. \n", + "Think of the Gaussians as two measurements. If I measure twice and get 10 meters each time, I should conclude that the length is close to 10 meters. Thus the mean should be 10. It would make no sense to conclude the length is actually 11, or 9.5. Aslo, I am more confident with two measurements than with one, so the variance of the result should be smaller. \n", "\n", "\"Measure twice, cut once\" is a well known saying. Gaussian multiplication is a mathematical model of this physical fact. \n", "\n", @@ -764,7 +754,7 @@ "data": { "image/png": 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P/P399fb7+/vj5eWV5TUnT54kMjKS48ePc/z4cWbPno2dnR3Hjx+nX79+Rgct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\n4YdERkZSq1YtPv74Y5o2zX2NPjAvnDx8+HD279+Ph4cHgwcPZvLkyTn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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -804,7 +794,7 @@ "\n", "This becomes counter-intuitive in more complicated situations, so let's consider it further. Perhaps a more reasonable assumption would be that one person made a mistake, and the true distance is either 10.2 or 9.7, but certainly not 9.95. Surely that is possible. But we know we have noisy measurements, so we have no reason to think one of the measurements has no noise, or that one person made a gross error that allows us to discard their measurement. Given all available information, the best estimate must be 9.95.\n", "\n", - "In the update step we are combining two measurements, but one measurement and the prior, our estimate before incorporating the measurement. We went through this logic for the g-h filter. It doesn't matter if we are incorporating information from two measurements, or a measurement and a prediction, the math is the same. \n", + "In the update step of the Kalman filter we are not combining two measurements, but one measurement and the prior, our estimate before incorporating the measurement. We went through this logic for the g-h filter. It doesn't matter if we are incorporating information from two measurements, or a measurement and a prediction, the math is the same. \n", "\n", "Let's look at that. I'll create a fairly inaccurate prior of $\\mathcal N(8.5, 1.5)$ and a more accurate measurement of $\\mathcal N(10.2, 0.5).$ By \"accurate\" I mean the sensor variance is smaller than the prior's variance, not that I somehow know that the dog is closer to 10.2 than 8.5. Next I'll plot the reverse relationship: an accurate prior of $\\mathcal N(8.5, 0.5)$ and a inaccurate measurement of $\\mathcal N(10.2, 1.5)$." ] @@ -820,7 +810,7 @@ "data": { "image/png": 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6rSaEtClJSUmCBKsuLi7o0KGD1OsIDQNqXyIb0hdwtm3ZhHtXV1dYW1tjwoQJ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\n+V25fIwgCE/AoOatOXXqlL5DqHYq4pwrVUqOX91O9G1tD4O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p9+IFczAoKFu1ahWBgYEEBgbi7e3NmjVraNq0KevWrSvxHo1Gg4uLC40bN9b9\neXi1gxBC3x9RIbrXnVv5U7+O4XOxTp06pXvds2dPg+/r1i4AR7s6gDZv2YXEMwbfWx7Z2dmEhYWx\ndu1aDh06ZJY6hBAlW7p0KcuWLbN0M/Tk5uZy+vRpWrRoYbE2rF69msWLF1us/sLKDMpyc3MJDw9n\n8ODBeueHDBlS5oakzz77LG5ubvTr169IojYhhL7cvFzCogvmXfTxGVLK1UVt3ryZTZs2MWfOHLp1\n62bwfTbWtvh3GKA7Phr1W7nqNdQ333zD2LFjWblyZYmbKAshzKdHjx74+fnx22/m+TteEVeuXGHK\nlCkWq//48eNYW1vj6+trsTYUVmbX1Y0bN1CpVEW2aMgf2y5OnTp1+OijjwgICMDa2pqdO3fy/PPP\n8+233/Lii6ZJgClETXMm9hiZWRkAONdtRPuWXct1f926denXr1+Jcz1L06fTYA5F/ArA2djjZNy/\nQ11H087xlMz+Qljec889V/ZFlcjSQ4ahoaG8//77Fm1DYWYZT3R1ddUlagPo3r07N2/e5IMPPig1\nKMufFCoqjzxzyyjuuf8WWdCb3LJBB06ePFXkGnNqWLc5NzKuolLn8VPIt3Rqbto9KnNzc7G1tSUn\nJ4ekpCT27duHq6urSesoi/y+W0ZlPXcPD48aOdFfmM+CBQvKdX1GRgaRkZHFvteuXTuj21Pm8GXD\nhg2xsrIqkgPk4Qy/ZenZs6cuaZsQQl/Gg3RS7lwGtFsqtXWr/K70dm4FQ54XUyMwcGG2wWxsbPQ+\ntMrKoyaEELVNmT1lNjY29OjRg5CQEEaPLlgJFhISUiSBXWlOnTpF06ZNS71GlqtXHkkRYBklPfdd\n/9uke93Rswf9Ayp/pXLnXB9OJh4gO+cBdx/cxLmZI22bdzJpHY8//jhRUVEA3Lx5s9J+/+T33TIs\nkRJDCHOqW7duib/Pptg706Dhy7lz5zJx4kT8/f0JCAhg3bp1JCcnM23aNAAWLlxIWFgY+/fvB+Db\nb7/FxsaGbt26oVQq2bVrF+vWreODDz4wusFC1DQqVR5/niuYn9nHZ3ApVxeVmZmJRqOhTp06RrXD\nzsYeP69H+V/kPgCORv5m8qAsICCAyMhI/P39efTRR01athBCVHcGBWVjx44lPT2d5cuXk5ycjI+P\nD3v37sXd3R2AlJQU4uPj9e559913SUxMxMrKCi8vL4KCgorNNCxEbRcZf4KM+7cBqOfkTKdW5etV\n+PXXX3mX3lnPAAAgAElEQVTrrbfw9vZm/PjxRi2m6eMzWBeUnb74B/f7v4ajvXHBXmE9e/YsV7oO\nIYSoTQye6D9t2jRdz9jDgoKC9I4nTpyo20JBCFG6PyILlqf37jgIK6VVue4/efIkarWa6Oho7t69\na1RbWrq1xb1xa5Kux5GryiHs/O/09x1R9o1CCCGMJhuSC2FB6XfTiE4oWGXZp9OgcpcRHh6ue114\nX7uK6tupID/aH5EhJp/wL4QQongSlAlhQSfO/44GbdDj3bIrrvXdyrhD3+3bt4mNjQXA2tqaLl26\nGN2mHt6PYmttB8C1mwkkpcWXcYcQQghTkKBMCAs6dalgV4yeHcq/4rLw1kqdOnUySY4mBztHurTp\nrTuOuPg/o8sUQghRNgnKhLCQtNvJXP2rF8raygafVv5l3FHUvXv3dPkCTTF0mc+3XV/d64iLR00+\nhPnrr78yf/58hgwZokuRIYQQtZ3sEC6EhZwq1APV3qMbDnaO5S5j5MiRjBw5kmvXrpk0cOrg0Q07\nWweycx6QdieZqzficW9kuu1QgoOD2b17N6Dt7evUybSpN4QQpjdgwACUSiWhoaGWbkqNJT1lQlhI\nxMWCoctuhXqmKqJZs2Y0b97c2Cbp2Fjb6vXcFW6rKRTeML3wEKwQoupSKBRmLX/v3r0sW7bMrHVU\ndRKUCWEBabeTSUqLA8DKyrpCQ5fmVjhQPHXhfybtiZOgTAjxsD179vDOO+9YuhkWJUGZEBZQuOep\nQ8tuONg5WbA1xWvv0Q07G+3CgfwhTFPp1KkTNjY2AMTHx3Pr1i2TlS2E0PfgwQNLN8Egkn5HgjIh\nLOLUpYL5ZL5GDl2ai621ndmGMO3s7OjYsaPuWCb7C1G6pUuXolQqiY6O5sUXX6RBgwa4uLgwbdo0\nMjMzddd5enoyfPhwQkND6d27Nw4ODqxcuVL3/vr16+ncuTMODg40bdqUadOmFful6IsvvqBt27Y4\nOjrSu3dvjhw5UuSar7/+GqVSSWJiot75Q4cOoVQq+b//+z+98ydOnGDkyJG4urri5ORE586def/9\n9wF45ZVXWLt2LQBKpRKlUomVlVWRsms6megvRCXLeJBO0vWCocvOrSu27dAPP/xAx44d8fb2xsqq\nfLsAGMq3XQDhFw4DcOriUZ7s85LJ5pVMnz4dtVpNt27daNSokUnKFKKmyv97N27cONzd3XnvvfeI\niIjgiy++ICkpiV9//VV33cWLFxkzZgyvvfYakydPpmXLloB2+8O3336bQYMGMW3aNGJjY/n00085\nfvw4f/75p673esOGDUybNo1+/foxe/ZsEhISGDVqFM7Ozrqy8usq6fPg4fMHDhxgxIgRuLm5MWvW\nLJo2bUpMTAy//PILCxYsYOrUqVy7do39+/ezefNmXa9ZbftskKBMiEp2+Wa07nVFhy5TU1N58803\nAXB1deXPP/80S2DWwVM7hJmdm0Xa7Wtcu3GZ5o1amaTsQYPKv3uBELVdixYtdAEYQJMmTXj33XcJ\nDQ3lsce0uQ7j4uLYtWsXTz75pO66Gzdu8O677zJ48GCCg4N1QVPXrl155ZVX+PLLL3njjTfIy8tj\n0aJFdO/endDQUKyttWFCp06dCAwM1AvKDKXRaJgyZQqNGzfm9OnT1K9fv8g1vXv3xsvLi/3799fq\nfbJl+FKISpZwoyAoq+jQ5cmTJ3Wv27RpY7aesoeHME+ZeBWmEJb0ySef0KpVqyJ/PvnkE5Ncb2oK\nhYLp06frnZs5cyYajUYvUHN3d9cLyAD2799Pbm4us2bN0uvFmjBhAm5ubroUNWFhYVy/fp3XXntN\nF5DlX9egQYMKtfvkyZPEx8cze/bsYgMyUUCCMiEqUUbWLdIzUwDjhi4jIiJ0rwuvZDQH33YBBfVe\nNO0qTCFE+bRt21bv2NXVFWdnZy5fvqw717p10ZyCCQkJAHh5eemdVyqVtGvXTnd/YmIiCoWiSD1W\nVla0alWxXvLY2FgUCoXkIzSABGVCVKLCvWTtW/pWeNVl4aDM19fX6HaVJn8IE+D6X0OYQoiqy8HB\noVLqKWk+mUqlqpT6ayIJyoSoRIWDsm6FeqDKIy8vj7Nnz+qOzR2U2Vrb0cnMQ5g5OTlcvXrV5OUK\nUZrZs2cTHx9f5M/s2bNNcr05XLx4Ue/45s2b3Lp1q8xeLA8PDzQaDTExMXrnNRoNFy9exNPTU++6\nh+tRqVTEx+unxXF2dgbg9u3beucL99qBdoqFRqMhMjKy1DaaOzltdSBBmRCVJP3udW5mJgNgpbTG\np3XFEsZmZ2fzyiuv0LdvX9q2bavb+9KcCieSPX3pD5OVm5CQwHPPPUfnzp2ZPHmyycoVoibSaDR8\n+umneudWr16NQqEoMofsYYMHD8bW1pY1a9boTUH47rvvSE1NZeTIkQD4+fnRqFEjvvzyS/Ly8nTX\nffPNN0WCr/xgq3DqC7VazRdffKF3Xffu3WndujWrV68uNSehk5N25ODOnTul/iw1may+FKKSRMaH\n6V57teiCo12dCpXj5OSkW3lZWfO7Onh0x8balty8HFJvJZF2O5lGDZoaXa6rqysnT55Eo9Fw4cIF\nMjMzdR/MQoiirl69yvDhwxkxYgQRERF89dVXDB06VLfysiSurq4sWbKEt99+myFDhvD0008TGxvL\nZ599Rrdu3Xj11VcBsLa25t1332XatGkMGDCAcePGcfnyZYKCgmjTpo1emR07dqR3794sWLCAmzdv\n4uLiwrZt21Cr1XrXKRQK1q9fz4gRI/D19SUwMJBmzZpx8eJF/vjjDw4f1qbd8fPzQ6PR8Le//Y1h\nw4ZhbW3NU089VWnDsVWB9JQJUUki4wqCsor2kj2ssrr7bW3s8G7RVXdc+GcxRp06dXQTj9Vqtd6w\nrBBCn0KhYOvWrTg7O7No0SJ++OEHpkyZwo4dO/SuKelzYdGiRaxbt46UlBT+8Y9/sHXrVgIDA9m/\nf78uRxnAa6+9xtq1a0lJSWHevHkcPnyYXbt20aJFiyJlb9myhYCAAFasWMF7773H448/rksIW9ig\nQYM4dOgQnTp1YtWqVcydO5d9+/YxatQo3TXPPvssc+bMITQ0lJdffpkXX3yRtLQ0Yx9btSI9ZUJU\ngqycB1y8WjCfwqeVnwVbUzE+rf11vX2R8WEM7P6UScrt1q2bbp7LqVOn6N27t0nKFaImcnV1ZfPm\nzSW+HxcXV+r9U6ZMYcqUKWXWM3XqVKZOnap3LjQ0tMh1np6e7Nu3r8j54ib79+rViz179pRYp0Kh\n4KOPPuKjjz4qs301lfSUCVEJziecQqXSzs9wdnLDuW71y1LdqVAgGXvtHPez75mkXNmcXAghtCQo\nE6ISFJ5P1sK5nQVbUnH1nVxo2Vibu0itVhF92TQBVH5QVq9ePZlPJoSo1WT4UggzU6tVRF0O1x27\nu3iVcnXpdu7cyZkzZ/D19aV3796Vvi9cp9b+JF6/BGgDzR7ejxhdZps2bQgJCaF169YolfI9UQhR\ne8knoBBmdjnlIpkP7gLgYFMH1zoVX7W4Z88eNm7cyMyZMzlw4ICpmmiwwlsuRV8+iUptfJJIpVJJ\n27ZtJSATohT//Oc/UalUNG7c2NJNEWYkn4JCmFnhocvmLm2NWjF5+vRp3WtzJ40tjnujVjSo4wrA\n/ex7xF2LLuMOIYQQhjI4KFu7di2tW7fGwcEBPz8/jhw5YtB9Fy9epG7dutSrV6/CjRSiOovSm09W\n8aHL5ORkUlNTAW2usnbtKn9umkKh0MvuX/hnE0IIYRyDgrLt27cze/ZsFi9eTEREBH379mXYsGEk\nJSWVel9ubi4vvPACAwYMMEVbhah2bt5JJflmIgA2VrY0bVCxDX1Bf7/Lzp07Y2VlZXT7KqJwOg9T\n5SsTQghhYFC2atUqAgMDCQwMxNvbmzVr1tC0aVPWrVtX6n3z5s2ja9euPPfccyZprBDVzcNZ/K2t\nbEq5unSVuQl5abxadMHW2g7QblB+/ZZp9qzUaDRcvnyZn3/+ucwvfEIIUdkqYweVMoOy3NxcwsPD\nGTx4sN75IUOGcPRoyRsT7969mz179vCf//zH+FYKUU2ZMov/hAkT+PDDDxk/fjz9+/c3tmkVZmNt\ni3fLQtn9TTSEOW/ePAYOHMicOXM4ePCgScoUtYtCoSg2aakQpqBWq82+IKnMlBg3btxApVLh5uam\nd97Nza3E1V/Xrl1jypQp7Ny5E0dHR4Mbc+LECYOvFaYhz9x8cvKyuZhUsG2Q6q4NaDuYKvzcPTw8\n8PDwMKoMU6ijLEjF8cfpUOqp3Y0us/BnxYEDB+jQoYPRZT5Mft8tozKfe6tWrXBxcam0LchEzafR\naFCpVNy8eZMrV66UeJ0p5vmaJU/ZhAkTeOONN/Dz0849qaxNk4WoSq7djkWt0W7M6+LUBEe7mrPY\nxb1QAtzrd6+QnfcAO2vjNg0u/IF26dIlo8oStdeVK1fIysrC1tbW0k0RNYRKpSIjI4M7d+6Yva4y\ng7KGDRtiZWWlW/WVLzU1lSZNmhR7z8GDBzl8+DBLly4FtEGZWq3G1taWtWvXMnny5GLvyw/ihPnl\nf3OVZ24+53/7n+51T5/++Pn51ajnfjxxNwmpF9Ggwa6BGr/2xv1MPj4+LFu2jLy8PK5evYqXl5fJ\nVm3XpOdenchztwx57qZXUrxTmCmCtjIHR21sbOjRowchISF650NCQggICCj2nsjISCIiIjh9+jSn\nT5/mnXfewdHRkdOnTzNmzBijGy1EVafWqPWy+BdOulpTFJ4jd+7ySaPLs7e3p3379rrjM2fOGF2m\nEEJUJwYNX86dO5eJEyfi7+9PQEAA69atIzk5mWnTpgGwcOFCwsLC2L9/PwAdO3bUuz8sLAylUmmW\nOSJCVEVXUi/psvjXdWyAe+PWRpWn0Wiq3ByZjp492P3HFgCiE06iVqtQKo1L09GzZ0+sra3p2rUr\nDRs2NEUzhRCi2jAoKBs7dizp6eksX76c5ORkfHx82Lt3L+7u2sm9KSkpxMfHm7WhQlQnhXuOOnh0\nQ6mo+IqdjIwMBg4ciI+PDz169GD69OlVIkBr3qgV9RyduXv/FplZGSRej8WzScWT4wIsWbLERK0T\nQojqx+B/KaZNm0ZcXBwPHjwgLCxMb+gyKCiI2NjYEu99+eWXuXv3rnEtFaIaOVdo6LKjZw+jyjp7\n9iw3b97k0KFD7N27t0oEZABKhZIOHt10x+fiw0u5WgghRFlk70shTCzj/h0SU7WrBxUKJe1bGpfo\ntaokjS1OB8/uutfnEoyfVyaEELWZBGVCmNj5xFNo0KaBadXEG0f7OkaVd+rUKd3rqhaUtW/pqxua\nvZJ6iYz7ty3cIiGEqL4kKBPCxArPJ+tYqCepIjQajV5PWbdu3Uq5uvI52tfBs6k3ABo0RCecKuMO\nIYQQJZGgTAgTUqtVnC8UmHQwcj7ZjRs3dPMx69atS5s2bYwqzxwKz5mLNkFqjAcPHnDgwAE++ugj\n3n33XaPLE0KI6sIsGf2FqK0SUi+RmZUBQD1HZ9wbtTKqvEaNGnHmzBmio6NJSUkx+75rFdHRszu/\nHv0OgOjECKNTY9y7d0+XYNre3p758+djY1PxjdyFEKK6qHqf8EJUY4V7ijp4djfJSkk7Ozt8fX0Z\nOnSo0WWZQ/OGrajn5AzA/awMElIvGlVeo0aNaNasGQBZWVlcuHDB6DYKIUR1IEGZECaknwrDuPlk\n1YVCoaCjR6FVmCYYwiy8oKHwnDohhKjJJCgTwkTuZt4m8bo2FYZSocS7ZVcLt6jyFJ47Vzgwraiu\nXQue3enTp40uTwghqgMJyoQwkfOJBRP8WzVtj6OdcakwqhPvll0KUmNcj+VupnGpMaSnTAhRG8lE\nfyFM5NxD88mMlZSUhL29fbXYA9LRrg6tmnUg9moUoA1Qe3YYWOHyOnfuzOjRo/H19a1yudmEEMJc\npKdMCBNQPZQKwxTzyVatWoW/vz+PPPIIBw8eNLo8c9OfV2bcEKaDgwMffvgh48ePx8fHx9imCSFE\ntSBBmRAmkJBykfvZ9wCo5+RM84bGpcKAgkz+SUlJ1K9f3+jyzK1wvrLzCRGo1CoLtkYIIaofCcqE\nMIHohEKrLj2MT4Vx584d4uPjAbCxsaFTp05GlVcZmjX0oH4dVwDuZ98jIUVSWQghRHlIUCaECUQV\nGq4zNos/6E9u79ChA3Z2dkaXaW4KhYIOHgXbQJkiNYYQQtQmEpQJYaS7mbdIuh4H5KfC6GJ0mYXT\nQFSnie5688oSjE+NUZharTZpeUIIUdVIUCaEkQpvwt2qWQeTpMJwcnLS7XNZnYIy75ZddVssJV2P\n427mLaPK++2333jjjTfo27cv//3vf03RRCGEqLIkKBPCSNEJBcN0hXuKjPHqq6+yf/9+IiIiGDJk\niEnKrAwOdk60btped1w4YK2ImJgY9u7dS3Jysm7hgxBC1FQSlAlhBG0qjIL5X6beWql+/fo4OTmZ\ntExzKzynrnDAWhHduxc8z5MnZY6aEKJmk+SxQhihcCqM+k4uNGvoadkGVQEdPbrzy/++BQpSY1j9\nNaRZXl26dEGhUKDRaIiJiSEzM9PoIPV+lobj5+B/ZyH+Gty8AzfuwI3bcPMuONpBwwbQsL72T2MX\n8GsP/bpAyybGbzAvhBAlkaBMCCMUToXRwdP4VBg1QX5qjDv3bv6VGuMirZu1L/vGYtStWxcvLy9i\nYmJQq9WcOXOGPn36lKsMtVpD+MU6/O9cfS59oSE8BnLzSr8nMbX48y3cNPTrAv27wXMDwaWe/P8W\nQpiODF8KYYTCqTBMNZ+suiuaGsO4VZjdumnLUiqVutxthriapmH5Nxq8nofXP/Xmu9AmHIsqOyAr\nzZVU2BoC0z6A5qPgxX9q2B+mQa3WVLxQIYT4i/SUCVFBeqkwlFZ4t+xqdJkPHjzgm2++oXv37nTp\n0gV7e3ujy7SEjh7dORa1H9CmxhjR96UKlzVhwgRGjBhB165dqVOn7JWth05pWLkZgv+EkrJodPSE\ngK7g2w4aN4BGztqhSpd68CC7YDgz7TbEXYM/zsLRSMh8UFBGdg5s26/949EEpozSMOM5qOMovWdC\niIqRoEyICtJLhdG0PQ52xk/IP336NCtWrACgY8eO7N692+gyLSE/NYZardKlxqjn5Fyhsjp27GjQ\ndSdjNCz6HPb9WfS9Og55PNE9nQkjG9O3MzRsUHrg1KpZ0XN5eRpOX4JDEbAtBE6cL3gvIQUWfQ6r\nd8CilzVMGQV2thKcCSHKx+Dhy7Vr19K6dWscHBzw8/PjyJEjJV4bHR3NY489RpMmTXBwcKBNmzYs\nWrSI3NxckzRaiKrAHKkwwsMLhvq6djW+581STJ0aozQXr2h44W0NfoFFA7KB3WHT27DnnTPMH3uF\npx5RlBmQlcTaWkGP9grmjlNwfIOCU1/DjDHa3rV812/BrE+gw4uwKViDSiXDmkIIwxkUlG3fvp3Z\ns2ezePFiIiIi6Nu3L8OGDSMpKanY621tbZk0aRIhISFcuHCB1atXs2HDBpYsWWLSxgthKUVTYRi/\ntRLoB2U9epimTEsxZWqM4uTkanj7Sw2dXoLtBwrOK5UwaThc2A4H/qPgpScU2NuaPjjq2k7B6tkK\nkn6GLxeAe+OC9y4nw8v/gj5TIDJOAjMhhGEMCspWrVpFYGAggYGBeHt7s2bNGpo2bcq6deuKvb5N\nmzZMnDiRzp0706JFC0aMGMFLL73E4cOHTdp4ISxFLxVGHVeaNfQwuky1Wq2Xi6twjq7qqHDvYX5q\nDFM5Ea3tGXv3a8grVOwzj8KZb2HjIgVt3Stn+NDeTsGrIxVc2AYfzQDX+oXaeR78AmH5Nxpy8yQ4\nE0KUrsygLDc3l/DwcAYPHqx3fsiQIRw9etSgSi5dukRwcDADBgyoUCOFqGr0UmF4dDNJKozY2Fju\n3LkDgKurK56enkaXaUn5qTEAXWoMY91Mz2DqP0/RZypExhWcD+gCf3wBP76noGMry8zlsrdTMGec\ngtjvYckrYGujPZ+TC0u+0PaanbkkgZkQomRlTvS/ceMGKpUKNzc3vfNubm4cOHCghLu0AgICOHny\nJDk5Obz22mssX7681OtPnDhhQJOFKckzr5gTUQVzKu3y6pf7ORZ3/a1btxg/fjwxMTHUqVNHbyiz\numrk2II7924CcOCPX0n3uFehcnJzc/nHm4u4dvUyGqxQNzkNSgfsbVX8bcRVxjyShvIBlPW/obJ+\n30f6Qqcm9vxriydRCdoFICdjwC9QzfSRV3lhwHVqU0o7+ZyxDHnulatdu3ZGl2HW1Zc7duwgIyOD\n06dP849//IP333+fBQsWmLNKIczuQc49bmYmA6BQKGnaoJVJynV2dmbUqFEmKauqaO7chkvXtXPv\nrt66RDePARUq53/RDUm8rsQaDQrysM09S6dOHVj8wmXcG+aYsMWm07pJFl/OOs/W3934fE8zcvKU\n5KmUfPJzC6ISnFj0QgKOdiXk7BBC1EplBmUNGzbEysqK1FT9FNepqak0adKk1HubN28OQPv27cnL\ny2Py5MnMmzcPpbL4UVM/Pz9D2y2MlP8NSp55+f15rqCHuHWzDvTt3c/ge2vbc++U3YHDF39GrVaR\nnplCuw6tqe/kYvD9KpWGJV/C+5vA1bobdXJjARjbO4KgNT1RKrsYVI4ln3vvXvD6OA0v/wvCorXn\nQk65cO22Cz/+G7xa1twus9r2+15VyHO3jPzpJ8Yoc06ZjY0NPXr0ICQkRO98SEgIAQEBBlekUql0\nf4SoziLjC4YEfFrJh15pHOycaNOsIM/YuXjDh2Rv3NYw/O/agAwg27Zg4YB97kmUyuoTzLT3UPB/\na2Hq0wXnouKh52TYeVjmmQkhtAxafTl37ly+/vprNmzYwPnz55k1axbJyclMmzYNgIULFzJo0CDd\n9d999x0//PADMTExxMfHs2PHDt566y3GjBmDjY2NeX4SISpBniqX84kFqTA6SVBWpsLPKOqyYXNc\nLiVp6DMFQsIKzvn5FWzdFB4ejkZTvYIZO1sF695UsPEtsLPVnrubCc8sgA+3aKrdzyOEMD2D5pSN\nHTuW9PR0li9fTnJyMj4+Puzduxd3d3cAUlJS9Paks7a25r333uPSpUtoNBo8PDyYMWMGs2fPNs9P\nIUQlib16juwc7V47rvXdcHN2t3CLqj6fVn78fDgIgPOJp8nNy8XGuuQvZ8fPaRj5pnaLo3yLJ8GS\nSe3w96+Pg4MD/v7+ZGZmGrTtUlUz6UkFXdpqeG6RNp8ZwLzPIOk6fDxTU616AIUQpmXwRP9p06bp\nesYeFhQUpHc8btw4xo0bZ1zLhKiCogoNXXby9DNJKgyAv//971hbW9O9e3eGDRtGvXr1yr6pmmjs\n3JxG9ZuSdieZnNwsLl2N1NuwvLDdRzU8vwTuZ2mP7W1h81J4pr8CsOLAgQO4uLiY7LlbSndvBWEb\nNDy7EA6f1p5b8z0k34RvFmuwt6veP58QomIM3mZJiNpOo9EQGV8wnmaqocucnBx2797Njh07WLBg\nAVlZWSYptyrRG8KML34Ic8MvGp5eUBCQudSDA//JD8i0XF1dq31Als+1voJ9q+C5gQXnvg+FoXPh\n1l0ZyhSiNpKgTAgDXb99jRt3UgCwtbGnbXMfk5R77tw5srOzAWjRogWNGzcu447q5+Gg7OH5Ux9s\n1vDa+5C/DsizKfxvPfTxqRkBWEns7RRsXQbTnys4938R0P9vkJougZkQtY0EZUIYqHAPT/uWvqXO\niyqPmrTfZUnaNO+Ina0DADfvppKSXrBv7rtfa1iwtuBa33bagMzbo2YHZPmsrBSsng0r3ig4FxkH\nj82A5BsSmAlRm0hQJoSB9OeTmS54qg1BmbWVDe1b+uqOo+LD0Gg0LN2g4e0vC64b0A1+/wyaNqwd\nAVk+hULBmy8p+GaJdkN1gOjLMHA6XE2TwEyI2kKCMiEM8CA7k9hr53THHVuZLngqvAl5TQ3KQD+n\nW2R8OIu/gHc2Frw/yA9+/RDqOZUekKlUKs6dO8c333zDjh07zNVci5gwVMGWpWBlpT2+cAUG/A2u\npEpgJkRtYNZtloSoKc4nRqBWayc8tWzctlxZ6cvyyy+/cOrUKSIiIvDy8jJZuVVNB48eKFCg1mjY\nHNyD8PMF7w3tDT/+GxwMWHV47Ngxxo8fD4C3tzdjx441V5MtYuzjCqyUGl74J+SpIPYqDJgOB9Zo\n8Gxau3oQhahtpKdMCAMUHro0ZS8ZQKNGjRgyZAjz5s3DKr+LpAaq59SAlm5t+TPyRcLPP6M7PyIA\nfjIwIAPw9fXVPacLFy6YZGuTqmb0QAXfLwebv742x1+DQTPhmgxlClGjSVAmRBnUahVRlwvmffm0\n8rdga6q3c3HjORE9Rnc86hH4YTnlysvl5OREp06dAG2akvx9/mqaUY8o+O97Bdn/467B4NmQdksC\nMyFqKgnKhChDQupFMh/cBaCeozPujVtbuEXV02c/agjaXbCBeOvmEWxZpsbWpvxDcv7+BYFxWFhY\nKVdWb8P7Kvj+XbD+qwM1+rI2j9ntDAnMhKiJJCgTogxRhTbR7tiqB0qF/LUpr2/2aJjxccFx88Zn\nGdLrPa7diKlQeT179tS9rslBGcCIAAWb3i5YlXnqAox4EzIfSGAmRE0jE/2FKINeFn9P021AfuPG\nDerUqYO9vb3JyqyKfjyo4dX3Co7buqfwmP+/sbbOITI+jDbNO5a7TD8/P3r37o2/vz+9e/c2YWur\npucHKcjM0jD5r+d49Cw8vQB++UC2ZBKiJpGv/EKU4uadVK7duAyAlZU13i27mqzsDz/8kK5du/L8\n889z7Ngxk5VblYSGa3hpGajV2uMubSFo8TVsbbR7KZ2N/bNIdn9DuLi4sHXrVubOnUvfvn1N2eQq\nK3CEglWzCo4PnIAJ74BKJT1mQtQUEpQJUYrTsQXBUvsWvtj/lZXeFP78809ycnI4fvw4SmXN+6t4\n6opSevkAACAASURBVIKGZxZATq722KsF7FsF/h18sLXR9g5ev31NL7u/KN2ssQreea3g+MffYeYn\nVCiwFUJUPTXvXwIhTOhMoaCsS5teJis3OTmZy5cvA2BnZ0fXrqbrgasK4q9pGP53yLivPW7WEH77\nBNxcFNha29HBo5vu2sLPWJRt0csws2ABK+t+gn9/a7n2CCFMR4IyIUpwN/M28de0GU4VCiU+rXuW\ncYfhCg9X+vn5YWdnZ7KyLS3tloahcyE1XXtcvw7s/RhaNimY+9SlTcE8MAnKykehUPDxTBg3qODc\nki9gwy/SWyZEdSdBmRAliIw/jgbtP3Stm3WgrmN9k5VdOCjr1ct0PXCWdu++hhFvwsUr2mM7W9i5\nAjq30Z+M3qlVD5RKbZ6HK9djSb+bVtlNrdaUSgVBi+DxQutOpn4AvxyRwEyI6kyCMiFKcOaSeYYu\nAezt7WnQoAEAffr0MWnZlpKXp+H5JRAWrT1WKmHLUnjUt+jqQEe7Oni5d9Ydn437s0J1RkRE8M47\n7zBy5EiCgoIqVEZ1ZWer4Md/Q7e/duZSq+H5JfBnlARmQlRXEpQJUYwH2feJSTqjOzZ1ULZs2TLC\nw8PZvXs3Xbp0KfuGKk6j0fC3j2FvoZHIz/4Oz/QvOV1D4SHM0xUcwoyOjiYoKIjIyEgOHTpUoTKq\ns3pOCnZ/CK2aaY+zcuCpeRCbJIGZENWRBGVCFOPc5XBUqjwA3Bu1xrWem8nrUCqVdOzYEVtbW5OX\nXdlWfAdf7iw4XvQyTH269PxZndv0RIH2mtir57j3164J5fHII4/oXv/5559kZ2eXu4zqromrguCP\nwfWv0fW02/DkP+DmHQnMhKhuJCgTohjmWnVZE235TcNb6wuOxz+BXtqGktR3csGjqXbsTaNRExlX\n/sz87u7ueHp6ApCVlcWpU6fKXUZN0K6Fgp0rCvbJvHBFm1w2K1sCMyGqEwnKhHhIbl4O5wptQF54\nmE3o+78IDYH/Ljge0A2+WqhdIWiIrm0K5tNVdBVmQECA7vXhw4crVEZN0Lezdjum/Ef/vzMw6V1Q\nqyUwE6K6kKBMiIfEJJ4mO1ebcb5R/aY0dW1p4RZVTecT9JPDdvCEH/9NuTYYL9wLeT4xguycB+Vu\nR79+/XSv4+Liyn1/TfLcQAUf/K3geEcoLFxf8vVCiKpFgjIhHqI3dNm2l8G9PoaIjo4mNDSUxMTE\nap2FPe2WhhH/gFsZ2uMmrrDnI3CuV75n1ahBU5q5egCQp8rlXEL5hx/79u3Lv//9bw4fPsy6devK\nfX9NM3cc/G10wfHKzfDlrur7uyZEbWJwULZ27Vpat26Ng4MDfn5+HDlypMRrDx06xNNPP02zZs1w\ncnKia9eutW65uqieVGoVZwttQG7qocvQ0FDWrVtH//79+frrr01admXJytbwzEKIu6Y9drSHXz4A\njyYVC16NTSRbr149XnjhBdzd3StUf02jUCj4ZBaMLBjV5Y0PIeS4BGZCVHUGBWXbt29n9uzZLF68\nmIiICPr27cuwYcNISip+z7qjR4/SpUsXfvzxR6Kionj99deZMmUK27ZtM2njhTC1uGvRZP61CrCe\nkzMeTbxMWn5UVJTuta+vr0nLrgxqtXYO2dGz2mOFAjYvhR7tK96b2KVtwRDmufgT5KlyjWylsLJS\nsHlpQQ4zlQrGLIaoOAnMhKjKDArKVq1aRWBgIIGBgXh7e7NmzRqaNm1a4lDBwoULeeedd+jTpw+e\nnp5MmzaNZ599lh9//NGkjRfC1Ar31HRu3QulwnQj/AkJCaSlaTPXOzo64uPjY7KyK8s/v4Jt+wuO\nP5oBox4xbni3ecNWuNRrDMCDnPtcuHKmjDuEIeo4Ktj1ATRvpD2+mwkj3oTUdAnMhKiqyvwXJzc3\nl/DwcAYPHqx3fsiQIRw9etTgiu7evYuzs3P5WyhEJVGrVZy68D/dcVcTD13+/vvvute9evXCxsbG\npOWb2zd7NCz/puD49Wdh1ljjy1UoFPi2LViFefJCyVMjRPk0b6Tglw/AyUF7nJACo+bD/SwJzISo\nisoMym7cuIFKpcLNTT95ppubGykpKQZV8uuvvxIaGsrUqVMr1kohKsHFpEju3r8FQF3HBrRr0bmM\nO8qncFA2cOBAk5Ztbr+f1DBlRcHxsN6wepbhqS/K0t2rIAns6Ut/kJNXsSSwarWas2fPcu7cOZO0\nqybw9VKw7R3ttlcAx89Jqgwhqirr/2/vzuNjuvoHjn/uZI8kiJCIWIMgIiJBSUKiYiulLaqltraq\nVaRa3dCHovT3KKm11VVLa+uG1hK17yR2IQgRJLFm32fu748rM8kTZDCTSSbn/TKvzDm5595vrsnk\nO+eee46xD7B3714GDx7MggUL8Pf3f+i2R44cMXY4wv8Q51xn3/n12ud1qjbhaLRhJyINCQnBwcGB\no0eP4uzsXGHOfXyyDa9GNCO/QHm7aFw7i4nPnePYMY3BjiHLMk62zqTl3CE3P4f1W1dT36X5I+0j\nKiqKhQsXkpGRQYcOHZgwYUKJbSrKOTc0V2uY8FxN5vymTO+ydju8Ni2Rt/pcL5PjV9bzbmrivJet\nJk2aPPE+Su0pc3FxwcLCguTk5GL1ycnJuLm5PbTtnj176NWrFzNmzGDUqFFPFqkgGJFaU0D87bPa\ncsOa3gY/hre3N8OGDSMiIqJEz3N5lZJhwTtLG5OWpSRkNZzymTvqAg62hkvIQOlxa1DknF+6eeqR\n9+Hi4kJGRgYAJ0+eRK1WGyw+czCw000GdrqhLf+4tTbrD9QwYUSCIPyvUnvKrKys8Pf3JzIykhde\n0E1+ExkZyYABAx7YbteuXfTu3Zvp06czduxYvYIJCAjQazvhyRV+ghLnXHHi4gHy1colsxpOrvQI\n6WvQ+ckKVaTznpsnEzYert5SynY2sHGuFQHNfY1yvLqetTnxkzIj//XUOFr4NMPexkHv9v7+/nz+\n+efcvHmTjIwM7O3t8fFRLkFXpPNuTCv8ZDI/hL/vDQeetboBnTs0oIu/4V/rIM67qYjzbhqpqalP\nvA+9bi2bMGECP/74I9999x1nz55l/PjxJCYmMnr0aEC527Jr167a7Xfs2EGvXr148803GTRoEMnJ\nySQnJ3Pr1q0nDlgQjOHIuV3a5/5enYySkFUksizz+mzYc+9GyMKpLwKaG++8uFavg0etRoAykeyJ\nCwcfqb0kScWWXHrYXIqVlYWFxC9TwbexUi5QQ/9JyuoMgiCYnl5J2cCBA4mIiGDmzJn4+fmxb98+\nNm7cqJ2sMSkpiUuXLmm3X7ZsGdnZ2cyZMwd3d3fto127dsb5KQThCeTkZXM6Tjf2wt8r+CFbVw6f\n/gDLN+vKn78F/ToZP1EN8OqkfR5VJFHWV9Ell/bu3fuQLSsvxyoS6/8Lte9duUxJh97vKas0CIJg\nWnpPwjR69Gji4uLIzs7m8OHDxT6R/vDDD1y8eLFYWa1Wl3hU9nXphPJJuXSZB4C7SwODr3VZUFBg\n0P0Z2/LNMtO+05Vf7wvvvlQ2x/ZrEoSEkvzFXj1JWubdR2ofGBiItbU1HTp0oHPnzsYI0Sx41FLm\nMLO3Vcpx16Hfh8pqDYIgmI7R774UhPIu+txu7XP/Ij01hjJy5EjS0tIIDQ3F29ubatWqGfwYhrLz\nqMyrn+nKYW1h4QTDTX1RmuqOLnjWacGFa6eRZQ1Hz++lc+veerd3c3Pj+PHj2NraGjFK8+DfTGLF\nVJnnPwJZhv2nlKkyfpkmo1JV7sv3gmAqYkFyoVJLz0rl7JVj2rJ/06CHbP3oMjMzOXDgAMePHyci\nIqJc3xF4Ll75A51/r2PPuyGsngFWlmX7B7poYnzkMS5hioRMf32DJb4och/W6m0w6WvTxSMIlZ1I\nyoRK7dj5vWhkZXqHRrWba5f7MZS9e/eSn6+s5disWTNq1CifUxDcvCvzzHtwN10pu9WADXOgqkPZ\n95i0btwBlcoCgPikWG6l6jdJtfB4xg+EMbob6/l8OXyzTlzGFARTEEmZUKlFxeouXbYxwgD/ijCL\nf06uTL8PlXFFoEx9se5zqO9mmktYVeycaF7fT1uOKnJ5WTA8SZKYNw6e6aire2sObDkoEjNBKGsi\nKRMqrTtpN4m7HgOASlLh16RjKS0ejSzLxZKykJAQg+7fEDQamaHTlfFEoEx98cs04059oQ//Issu\nRZ3bhSyLBMGYLC0lfp0Gfk2VsloNAybD8fPivAtCWRJJmVBpHYzZpn3etJ4vjvaGHYB/69Yt7QB5\nR0dH2rRpY9D9G8J7C5UldwrNeVsZZ2RqPo3aYW1pA0DSnQSuJJ9/pPYFBQXs3LmTSZMm8fzzz4uk\nTg8O9sri5R73ruCnZ8Ez70FCsjh3glBWxN2XQqWk0ag5cCpSW36qxdMGP0bNmjXZs2cPsbGxxMfH\nY2lZvn7dIlbJRKzSlccOgPAXTRdPUTbWdvg1CdQmzntPbaG+W1O922s0GsaOHUt6ujJI7vLlyzRs\n2NAosZoT95oSf8+RCX4T0jLh+i3o9S7sXiJTzdH0ybogmDvRUyZUSjHxR7mboaww4WBXlVae7Y1y\nHEmS8PLyolu3bkbZ/+Nau13m3QW68vOdYe7Yspv6Qh8dfXTnLPrcbrJzs/Rua21tTZcuXbTlQ4cO\nGTQ2c+bjKfH7LLC69xni9CV44WNl2S1BEIxLJGVCpbTv1Bbt8/YtQrG0sDJhNGVrz3GZVz5V5qYC\n6OgDP/9HWYKnPGng5qWdyDevIPeRZ/gvmggfPnzYoLGZuy7+Et99rCtvj4bXZiEuAwuCkYmkTKh0\nUjJuc/qSblmlDt5hJoymbMVcVu60zFUWMKBpXfhzNtjZlK+EDJReu44tdYnV3lObHykp6NSpE9bW\n1gDEx8eTnJxs8BjN2ZDuEjPf0JVXbIEPl5guHkGoDERSJlQ6B8/8q52brLFHS2pVr2PiiMpGQrJM\n93fgTppSrlUd/vkCXKqVv4SsUNtmIVhZKInVtZuXSLhxsZQWOg4ODtq1MCVJ4vz5R7tZQIAPX4FR\nfXXl/66AuStFb5kgGEv5GnksCEam0ajZX2SAf2BLw4/1unr1KmvWrKFPnz40btzY4Pt/HLdTZXpM\ngKs3lLKDHWz4LzSqU34TMgB7Wwf8mgZyKEa5RXTfqS3Uc9X/nA4fPpwePXrg7OxM1apVjRWm2ZIk\niYUTZJJuw7o9St17C6BmNZlXepTv144gVESip0yoVM5eOc6d9JsAVLF1pJXnUwY/xvr165k/fz5h\nYWF88sknBt//o8rMlun9HsRcVspWlvD7LNPPRaavopcwo87tIicvW++2wcHBDBgwQCRkT8DSUuLX\nTyHYV1f36mewcb/oMRMEQxNJmVCpFB3g3655KFaW1gY/xvr167XP/fz8HrKl8eUXyAycDAfPKGVJ\ngp+mQNe2FSMhA2hYuxluznUByM3PITpWzPBf1uxsJP76HHw8lXLBvcllD5wSiZkgGJJIyoRKIzXz\nDqfidFMjdDTCpcsLFy4QE6OsEmBjY0PXrl0Nfgx9aTQyI2fCxgO6ui/D4cWuFSchg5ID/ved3PKQ\nrQVjqeYosfELaFBbKWflQO+JcCpOJGaCYCgiKRMqjYOndQP8Pet44+rsYfBjbNiwQfs8NDQUR0dH\ngx9DH7Is89Yc5Y65QpOGwdv9K1ZCVqht8xDttCVXblx4pAH/guG415TYNBdc7i1+cScNuoXD+QSR\nmAmCIYikTKgUNBo1+07rBvgbo5dMluVily779Olj8GPoG8d7C2HpX7q6UX3h09dNEo5BVLF1pHVj\n3dqke09ufuR9FBQUsGXLFrZsET1tT6JpPaXHzNFeKSfdhq7jIT5JJGaC8KREUiZUCscu7OdOmnLr\nob2NA60bdzD4MSRJYunSpYwfPx4fHx9CQ0MNfgx9TPse5q3UlYd0h8Xvla/Z+h9HYJEZ/g/H7CA9\nK0XvtufPn2f06NG88cYbzJkzR0yC+oT8m0ls+C/YKcuTkpAMYeMh8ZY4r4LwJERSJpg9WZbZGvW7\nthzs29MoA/wBPD09CQ8PZ926ddjZ2RnlGA8z5xeZT7/XlZ/rBN9/DCpVxU7IABq5t6BeLWU6jHx1\nHjuP/a13Ww8PD3JycgAlQTt+/LhRYqxMgltL/DELrO8thnHhqnIp83aqSMwE4XGJpEwwe7EJJ7h6\nIw4AKwtrOvk+Y+KIjGPRbzLvL9KVezwFv0xTpjQwB5Ik8XTA89ry7hP/6D09hp2dHR066HpH165d\na/D4KqNu7SVWTQcLC6V8+hJ0fwfuponETBAeh0jKBLO39Yiul6y999M42lczYTTGsWCNzNi5unKn\n1rB2JthYm0dCVsjXsz01q7kDkJ2bWWyKk9IUvZy8bt06bc+Z8GT6Bkv8NEWZbgUg+hyEhcMdkZgJ\nwiMTSZlg1q4kX+BcgnKpSpJUdGnTt5QWFc/8NTLjI3Tlp7xh3f+Bva15JWQAKpVFsf/D7UfXUaDO\n16tt8+bNadCgAQDp6els3vzoNwsI9/dSmMTSD3Tl6HPKGLPUTAvTBSUIFZBIygSzVnQsWZsmgbhU\ndTP4MdLS0ti7d69JBo9/uVomvEhC1qElbJoHTlXMLyEr1K55qLa3MzXjNkfO7tKrnSRJDBgwgMDA\nQCIiIujevbsxw6x0Xu0j8e1Huh6zo7EwZlFTUkRiJgh60zspW7x4MY0aNcLOzo6AgAD27NnzwG1z\nc3MZMWIEvr6+WFtb06VLF4MEKwiP4mZKIscv6GZOfTrgOaMcZ82aNQwZMoRu3bqxceNGoxzjfiJW\nybzzpa7c0Qc2zTXvhAzAytKakNa66Ub+jfpDO/9cad58802WL19O3759sbW1NVaIldbI3sUTs9hr\n9oxZ1JRbKeJSpiDoQ6+kbNWqVYSHhzN58mSOHTtGx44d6dmzJ1evXr3v9mq1Gjs7O8aOHUvv3r0N\nGrAg6Gtb1J/I9/5YN6vvh0fNRgY/hkaj4eeffwaU2fxTUvSfpuFxybLMzGUyE+br6gJbocwdZeYJ\nWaHAVt2xsVbubk2+e5VTcYf1alfRpwWpCEY8I/FdkcTs/DV7Qt+G6zdFYiYIpdErKZs3bx4jR45k\n5MiReHl5MX/+fGrXrs2SJUvuu729vT2LFy/mtddeo06dOgYNWBD0kZZ5l4Mx27Tlrv7PP2Trx7dj\nxw7i4+MBcHJyol+/fkY5TiFZlpm4CKYs1dUFtYJ/5lSehAyUueaCfHSXH7dG/S7mHitHhj8j8f3H\nIEnK/8npSxD8FsRdE/9HgvAwpSZl+fn5REVFERYWVqy+W7du7Nu3z2iBCcKT2HF0vXYAeD3XJjTx\naGmU4yxbtkz7fODAgUadm0ytlnl9Nsz9VVf3dAD8U4l6yIoKaf0sFhaWAFxOPMeFa6dNHJFQ1LBe\nEp++cgkLlZKIXboOwW+KtTIF4WFKTcpu3bqFWq3G1dW1WL2rqytJSUlGC0wQHtfd9JvsPKZbg7Kr\n/3NGuWwVFxfHrl3KIHNJknjllVcMfoxCuXkygz6B73U/Fs91gg3/BQf7ypeQAVR1cKZdsyLTXOxZ\npvfYskIpKSmsW7fO0KEJ93T3v8t/X7uA7b25mhNvQ+e34OBpkZgJwv1YmjqAoo4cOWLqECodczzn\ne2L/Il+dB0CNKrXJT7Eyys+Zk5PDa6+9xqZNm3B1deXGjRvcuHFDr7aPEk9GtooPv/fkUKyTtq53\nu1tM7BfPyROPHLZZqW3rhUrahkZWE598nt82/UTDmg/uFS0877Iss2LFCjZv3kxOTg75+fnUr1+/\nrMKuVIK804h44xzvLm1MZq4Fd9Ohy9tqZo2Io2OLNFOHZ9bM8f29PGvSpMkT76PUnjIXFxcsLCxI\nTk4uVp+cnIybm+GnFxCEJ3E7I5G4mye1Zf+GXY02uNvW1pbu3bszd+5cxo4da5RjJN2x4vUvmxVL\nyAZ1TmbyS/FYipkGcLCtRnP39tpydPx21JqCUttJkkRiYqJ2Atk///zTaDEK0KZxBovHxlKtijKk\nIDvPgne/aczve11MHJkglC+l9pRZWVnh7+9PZGQkL7zwgrY+MjKSAQMGGDSYgIAAg+5PeLDCT1Dm\ndM5lWWbBb5O1ZZ9G7ej99AsPaVH2HuW8R5+TeeNT5ZJPoWmvweThrkiS+EBUyNunOZ8uO0VmdhqZ\nuamkqa4TFlD8xo77nfePP/5Ye2PGvn37mD59unZyWcEwip73gABo20amxztwJRnUGonZq+ujtqrP\nrNHmsT5reWGO7+8VQWpq6hPvQ6+7LydMmMCPP/7Id999x9mzZxk/fjyJiYmMHj0agI8++oiuXbsW\naxMTE8OxY8e4desWGRkZHD9+XCwCLBjVybhD2sHeKpUFfYOGmTiix/f3PpnOY3QJmZUl/DgZpoyQ\nxLQO/8POpgq92g/SliMPryU9q/Q3R19fX4KCggBlapOvv/7aaDEKimb1JfYvBX8vXd1/V8BL/4Hs\nXDHOTBD0SsoGDhxIREQEM2fOxM/Pj3379rFx40Y8PDwASEpK4tKlS8Xa9OrVC39/f1avXk1UVBR+\nfn60adPG8D+BIABqdQHr9ujuhAzy6UGt6hVvOhZZlvlytUzfDyDz3lrbVR2USWGH9hTJ2IN09OmO\na3Xl/SgnL4uNB1fq1W7MmDHa57///jt37twxSnyCTm0XiR2LoE+grm7NNnh6LCTeEomZULnpPaP/\n6NGjiYuLIzs7m8OHDxMYqPuN+uGHH7h48WKx7S9duoRardY+NBoNarXacJELQhF7Tm7iRsp1AOys\n7enR/kWjHKegoIBly5aRnZ1t8H1n58oMnwHvfAmaezcRNqgN+76GUH+RkD2Mxf/0jO47uZmkOwml\ntmvfvj0BAQF0796d1atX4+zsbMwwhXuq2En8Pgve7q+rO3AaAkbC/lMiMRMqL7H2pVDhZeVmsOng\nKm25W7sBONg5PaTF41u9ejVTp04lNDTUoIPD45NkgkbDz5t0de1awP6l0LyBSMj04d0wgKYePgBo\nZA1/Fek5fRBJkli+fDlfffUVvr6+xg5RKMLCQmL+OxLzxoPq3l+ixNsQMgaW/iUSM6FyEkmZUOH9\nsfN7MnPSAXB2qkUn32eMcpysrCwiIpTVv5OTk7l+/bpB9rstSiZgpLKAc6GRvWHHQnB1FgmZviRJ\nol+nEUgo5+z0pSNExz54jd5CNjY2xg5NeIjxAyU2zQXne5+j8gtg9P/BqM9lcvNEciZULiIpEyq0\nExcPFFtO6bngEVhZWhvlWN999x03b94ElMmTR4wY8UT7U6tlPv1epls43L43Lt3KEpZMhG8+BFsb\nkZA9Ko+ajejQUnfT0eptX5GaIcaJlXdd20oc+R5aF5nm6dt1EDQazieIxEyoPERSJlRY6VkprPxX\nt/6qv1cnfBt3MMqxbt++zdKlugUnw8PDn2hJpYRkmafHwdTvdOPH3GrA9oXwRj9xh+WT6Bs0AmfH\nmoByafuXrQvFupgVQIPaEnu+gsHddHVR56DNCPhpo/j/EyoHkZQJFZIsy6z8dzEZ2UoXU1WHGgwI\nGWW04/39999kZGQA0LhxY/r3719KiwfbfrwarYfBrmO6uk6t4ch30NFHJGNPys7GnsHdxmsvY8bE\nR3M+OVrv9leuXGHEiBFER+vfRjAMe1uJnz6BiHCwtlLqMrNh+AwY+qlMWqZIzgTzJpIyoUI6FLOd\nk3GHtOXBXcdib+tgtOMNHTqUn376CW9vb95//30sLR99hbL0TJlZq+rxwfee3FWGwKFSKRPC/jsf\n3GuKhMxQmni0JMSvj7Z85NJW0rJLv4y5ceNGunXrxo4dO5g0aRL5+fnGDFO4D0mSGDdAYt/X0LSu\nrn75ZvAfAXtPiMRMMF8iKRMqnDtpN/ht57facnCrXjSr39roxw0ODmbdunUlJkrWx+aDMj6vwB/7\namrr6roqg/mnjJCwsBAJmaH17jgEN2flr3qBJp+959eh0Tx8Wh4fHx/tpeOzZ8/y448/GjtM4QHa\neCnjzIYXuW/n4jXo9BaMj5DJzBbJmWB+RFImVChqdQHLt3xJTl4WADWrufNs0NAyO75KpXqk8V4p\n6TKvzpLpOUFZWqbQCyFw7EcI8hXJmLFYWVozpNt4VCplkdCb6VeJPPLbQ9t4eHgwfvx4bXnevHlc\nu3bNqHEKD+ZgL/H9xxIrpoJTFaVOlmHBGmg1VLlzWRDMiUjKhApDlmVWb/9au5SSJKkY0m08Nla2\nJo6sJFmWWbtdxnsw/LBBV1+1SgHTh8axegZUdxIJmbHVc21Mj3YDteW/9//C0fN7H9rm1VdfxctL\nWQcoOzubqVOnGjNEQQ8vhUmc/Bl6PqWru3Qduo6D12fL3E4VyZlgHkRSJlQYkUd+Y//pSG25Z/sX\naVjb6yEtHl9BQYF2Ud9HdTpOJmw8DJxcfDHxgV1g1Uen6e5/V9xdWYbC2vbH1ametvzz5gjirp99\n4PZWVlbMnDkTAGtra3x8fNAU3iIrmExdV4kNc2DZFKjuqKv/bj00fREW/y5TUCCSM6FiE0mZUCFE\nndvFhn3LteW2zULoXqQHxNAWL17MgAEDmD59Orm5uXq1SUmXCY+QaT0ctkXp6l2dYe1MWDldwtmx\nwDgBCw9kobKgc7P+ONkqSygVqPP5ZsNn3ExJfGAbf39/pk6dyubNmxk3bhwqlXirLA8kSeKVHhKn\nV8BznXT1d9Ph7S+g7auw65hIzISKS7zTCOXexWunWR45X1tu4uHDS13HGK23KTo6mvnzleN9//33\nrF279qHb5+Qqi4h7DYL5a6BwiVcLCxg7AM6sgOdDRM+YKdla2fN0i0FUubf8VmZ2Gl/9NZ3M7LQH\nthk2bBgNGjQoowiFR+FWQ2LtZ/DX59DIXVd//IKyTNOASTIxl0VyJlQ8IikTyrXku9f4ZsNs1Gql\nh8nV2YNXn/kASwsroxwvPT2d8PBw1Pcyq3bt2jFo0KD7bltQIPPdehmvl5RFxG+m6L4X4gfRZVzx\newAAFiRJREFUP8CX4ZIYO1ZOONo5M6rPx1hZKCs+3Ey5zjfrZ5FXoF9PqFC+SJJEnyCJU8th+iiw\nLzK09Lcd4PMKjJwpczlRJGdCxSGSMqHcupJ8gflrPibr3rqWjvbVGN13itHmI8vJyeHNN98kISFB\nOZ6jI3PnzsXCwqLYdgUFMr9skfEeAq/PhoQid1XWdYWVn8K/C8DHUyRj5U3D2s14pXu4dmLZuMQY\nlvwxjaycDL33Yag1TwXDsLWRmDRMIuYXePFpXb1GAz/+A16D4O0vZK4kieRMKP9EUiaUS2cuRzP/\nt8mk35ux39rShjeenUwNJ1ejHTMnJ4eUFF1312effUadOnW05cxsmQVrZJoOgiHT4HyCrm2t6sos\n5Od+hYFPi2WSyrPWTTrSN3i4tnzx+hki1nzEnbSbpbb97bffCA0N5Y8//jBihMLjqOsq8eunEoe+\nhe7tdfX5BbD4d2g8EIZNlzl5USRnQvklkjKh3Dl45l+WrptBXn4OAPY2DrzZ7z/Uc21s1ONWq1aN\nFStW0KpVKyZOnEjv3r0BSL4j859vZeo/D+Mj4HKR8eFVHWDGKLiwGsYNkMQi4hVElzZ96ResW1A+\n6U4C81Z/wLWblx/Y5rfffuO9994jLy+PDz/8kH379pVBpMKjCmgusXGuxPaFENhKV1+ghp83ge9Q\neOZdmW1RslgTVSh3RFImlBuyLLP50BpWRC5AIytTEFR3rEn4wFl41mlRJjFUrVqV1atXM3r0m2w9\nLDNwskzdfjD9B7hTZEx4jarwyUiIWwMfD5NwsBfJWEXTpU1fhvV4FwuVsmRWauYdvlz7MbEJJ+67\nfbdu3WjSpAkAeXl5DB8+XPSYlWOd/SR2LYa/50Bnv+Lf23hAmeOs+Uvwxa8yt1JEciaUDyIpE8qF\nlIzbfP3XdP7ev0JbV8elARMGfq5dKqcsJCTLRKyxxmsQdAuHtduVT9iFGrrDggkQ/ztMfVUM4q/o\n/L2CebPfJ9ha2wOQk5fFoj+msmHfcvILiq976ejoyDfffEOtWrUAyM/PZ8KECaxYsaLEfoXyQZIk\nenaQ2L5QYv9SZSWNoiMLYhNg4kLw6AdDpsr8e0RGrRYJmmA6IikTTEqWZQ7FbGfWz2M5Ex+trW9a\ntxXj+s+kqoOzUY574cIF3nrrLbKysriVIvPVHzKd31IuUX60RFljr6igVvDrNGXM2JgXJOxtRTJm\nLprWbcX4/p9RtYryWpNlDVsOr2XOyndJuHGx2Lb169fn999/p2nTpgDUqFGDoKCgMo9ZeHTtvSXW\nzJQ4+yu89bxu2SaAvHz4JRLCxkPd5yA8QubgaXF5Uyh7kmziV11qaqr2edWqVU0YSeVSOFt9QECA\nyWJIzbzDqn+XcOrSYW2dhETn1r15NmioUaa9kGWZNWvW8J//TCUnJ5uq9QdwRvN5sd6wQtUc4ZUe\nMOpZ8G5kmCSsPJz3ykif8343/SY/b/mSC1dPaetUkopubQfQrV3/Yq/HtLQ0JkyYwJgxY/Dz87vf\n7gTK9+s9M1tm5VZY+hccjrn/No3c4dlg6BMIQb5gZVkxPoyV5/NuzgyRz4ikrJIy5S9telYq26P/\nYteJf7SD+QFqVHVlcNg4GtfxNvgxc/Nkth9OY/bMycTH6Baj1GBDYq3NFFgqy/CoVPC0PwzuDv1D\nMXiPmHizNA19z7tG1rDnxEbW7fmp2PxlNZxcCWvbn/bNQ7GwsDRqrOakorzej8bK/PA3rNkGyXfu\nv001R+jRHnp1hC5twL1m+U3QKsp5NzeGyGfEu4tQZtKzUtgW/Se7T2wqlowBBLfqxbNBQw22uHhu\nnkx0LOyIhu1RsPdELs5XemKp0d06mWfZmFvV51NgWY8OLWFQVxj4NLg6l983W8G4VJKKTr7P0Lx+\nG1ZsmU9cotKFcjstmZX/LmLLodVKctaiywN7cnNychgzZgyvvfYaHTp0KMvwhcfk11TCrynMHSuz\nPRp+3Qp/7ITUItPXpaTDyq3KA8CrnkxIG+jirwxvqO0i3jeEJyeSMsGoNLKGC1dPc+TsDqJj95SY\nPb12jXq80Pk1mtZt9YA96HEMjUzcdeUSxIHTcOg0HD2vjBPRsSHLrhtOmcsAyHIYROvQKTzb2Y7e\ngVDfTbyhCjo1q9VmXP8Z7Dr+D5sPrSbz3gTGd9JvsmrbErYcWkO7FqEEeHXG1dmjWNuvvvqKbdu2\nsW3bNrp06cLQoUMJDg4W62dWAJaWEmHtIKwdLH5XZsdRWL8XNuwtPkk0wLkryuPrP5VyPVeZp7yh\nnTe0bwG+jRF3ZQuPTO/Ll4sXL2bOnDkkJibi7e1NRETEQwe4njp1irfffptDhw5Ro0YNRo0axZQp\nU0psJy5fmoYxu7c1soZrNy8THbuLI+d2k5pxu8Q27i4N6NFuIK0aP4VK0u+PlSzLJN1W3ghj4uH4\neThxAU7GQWZ24UYaLDQ3UFu4lWjfqGYytvGv8MLL4bz3Vi8cq5T9G6a4rGAaT3Lec/Oy2XViI9ui\n/7zvWpl1a3kS0KwzrRt3xMbCnuDgYO7cKX4NrF69esycObPS3RRgLq93WZY5cQE27INtR2DfKcjN\nK72dZx0lOWvVGFo2Aq960NgDbKyN+95jLue9oimzy5erVq0iPDycr776isDAQBYtWkTPnj2JiYnB\nw8OjxPbp6emEhYUREhJCVFQUMTExDB8+HAcHB955553HClQov2RZJulOAuevnuT81VNcuHb6gQs9\n16nZkB7tXsTHs919k7HcPJmrN+BSojJJ6+UkuHxduXX93BVIzyq5T0nOwSbvBHY5W6mS8zcy1lyv\ntQ1PD4lAHwj1h9A2UM/NDVneImbbFx6JjbUdYQHP06lVT/ac3MS/UX+Ska178024cZGEGxf5Y9f3\n1KzmzqiPBrB7wzH27jyo3ebKlSvUrFnTFOELBiBJEr5NwLcJTBoGObky+0/BtijYeRSizkH2fZZQ\nvXhNefy+U1enUkEDNxmveuDpAQ1qQwO3e19rQ3VHxHtUJaZXUjZv3jxGjhzJyJEjAZg/fz6bNm1i\nyZIlzJw5s8T2y5cvJzs7m2XLlmFtbU3z5s2JiYlh7ty5IimrwNQaNakZd7idlkTi7StcvxXP9dvx\nJN6+Qm5e9n3byDLYWNWkiUcI9VwDsVTV58wl5Y3sxl2Z5Dtw/SZcvwXXbsGtlPvu5v5kGdfbL2OT\nF4VEQbFv7ZxzmuCOPiWaiDc74XHZWNvxtP9zdPLtzZnLURw5u4NTl4+gVuteezdTrnMz5TrOfhDa\noBmJZzO4fOIGdeq5kaK+SnySCmenWjjYOSFJEvn5+bz77rs0atQILy8vvLy8qF+/fon1VoXyxdZG\nUj7s+Svl/AKZkxfh4Bk4eAqOnIVzCaC+z13dGg3EXVce92NnA+4uMnVqgrsL1HaBmtWUR63qyleX\nakryVs0BLCzEe5o5KTUpy8/PJyoqiokTJxar79at2wOXGTlw4ADBwcFYW1tr67p3784nn3xCfHw8\n9evXf8KwhSeh1qjJK8gjr6CAK8lJZGbnkJmTR0Z2DulZOaRmZpGakUVaZg7pWbmkpGdyNz2L1Mw8\n8tVWqAusyVfbkF9QjYICV/LVncgvsCUv3173Ve1AQUFVsnPtyC/QfyyNZUEcVgWXUWnuYKG+jUpz\nGwvNLdIc3iDfygunKsolAK960NJTYusKOB9TPCGrVq0aGalXgZJJmSA8KStLK3wbP4Vv46fIysng\n2IX9HI3dQ9z1GPLVumtaDtVtaNLBhoYB1cnLymdF5ALdPiysqe7oQuZNDevXby62f2trKwI7dWDK\npx9ja22HjZUdNta2WFlak5qSxrWr13BycsLR0RE7OztsbW2xtBTDg03JylKijRe08YI3n1PqcnJl\nzlyG4xeUoRaFY9Dik5QPqw+SnavrYdNHVQeZ6o5QtYoy95pTFcjPaUgVWzX198lUsYUqdlDFFuxt\nlaSv8GFrrTxsrMHG6t7DGqwslYe1pe65SiWSv7JQ6m/yrVu3UKvVuLoWXwja1dWVf//9975tkpKS\nqFu3bontZVkmKSnJrJKy51+fw4moqGJ1MmDp2gtL545KWS6slyhIWo/m7oFi2wJY1OqNVC1QKcvK\ntrIsobmxDlL3IcvFfyHUzn3ROAahQULW3NtWlrC88wcWGXuQke7tXEKWIctxANm2XdDIKjQaS2RZ\nuSvMIfMX7HK2lvi5Mqq8TLZtzxL1Dpk/Y58Tee+HkpFQvqZVGUa23VMltq+avhD77PVIcgFQgCTn\nIZHHXaePyLTvX2L7ahlLqJL1W4n6CaM6MeIVL1ydi/d2yVf9OB9zkEaNGhEQEECvXr3o2LEjVlaG\nn+NMEP6Xva0DHVuG0bFlGPkF+cQnx3I+4STnr50iPjGWfHUellYqLKvaFGuXr87jRsp1zh5JKrHP\nvLx8YhNOMG/1ByW+d/XsXY5uulKivnFrd0Ke80OlUiFJKlT3HhdPX+fI9hhUkoSkUqFSSUgqicbe\ndWkb6o2EhPJP+Z26eDqB6D1ni9VJEjRq7oF/cIvi0+EDcWeuEr2n5CRfhdunpCpd31HXN+n2v7fk\n9p7NPWgTXHIpNXPbvhHQ0EnCpX4zqjUM43ZqVW6nVVO+plYlI+k4tqmrSuwn27YzGVVeKVFvm7Md\n69sryAQyget6bO+YWXIFCn22lwAkGUmSybMLJrfaIFQqDSpJRiVpUKlkLDN3YX13LSDfew0ByMhO\nHaDm80iSjCShfEWG1H34N05mzZKxJY5dWZU60D8xMZE6deqwa9euYoNUp0+fzi+//EJMTMkXaPfu\n3albty7ffvutti4hIYH69euzf/9+2rdvr60vOjBOEARBEAShonvcgf6lXldycXHBwsKC5OTi9wMn\nJyfj5lbyDjcANze3+24vSdID2wiCIAiCIFRmpSZlVlZW+Pv7ExkZWaw+MjKSwMDA+7bp0KEDu3fv\nJi9PN75iy5YtuLu7m9WlS0EQBEEQBEPRa56y1atXM3ToUBYtWkRgYCBLlizhhx9+4MyZM3h4ePDR\nRx9x+PBhtm5VxialpaXRrFkzQkJCmDRpEufOnWPEiBFMmzaN8PBwo/9QgiAIgiAIFY1et+wMHDiQ\nO3fuMHPmTBITE2nZsiUbN27UzlGWlJTEpUuXtNs7OTkRGRnJmDFjaNu2LdWrV2fixIkiIRMEQRAE\nQXgAky9ILgiCIAiCIOgxpqyszJo1C5VKxbhx40wditlLSkpi+PDh1KpVCzs7O1q2bMnu3btNHZZZ\n02g0TJkyhUaNGmFnZ0ejRo2YMmUKGo3G1KGZld27d9O3b188PDxQqVT89NNPJbaZOnUqderUwd7e\nntDQUM6cOWOCSM3Lw857QUEBH3zwAb6+vjg4OODu7s7gwYNJSEgwYcTmQZ/Xe6E33ngDlUrF3Llz\nyzBC86TPeY+NjeWFF16gevXqVKlShYCAAM6dO1fqvstFUnbgwAG++eYbfH19TR2K2UtNTSUwMBBJ\nkti4cSNnz55lwYIF1KpVy9ShmbXZs2ezZMkSFi5cyLlz55g/fz6LFy9m1qxZpg7NrGRkZODj48P8\n+fOxt7cv8f3PP/+cefPmsWjRIo4cOUKtWrUICwsjMzPTBNGaj4ed96ysLI4dO8aUKVM4evQo69at\nIyEhgZ49e4oPJU+otNd7obVr13L48GHq1KlThtGZr9LO++XLlwkKCsLT05MdO3Zw+vRpZsyYgYOD\nQ+k7l00sJSVF9vT0lHfs2CGHhITIY8eONXVIZu2jjz6Sg4KCTB1GpdO7d295+PDhxeqGDRsm9+nT\nx0QRmT8HBwd52bJlxepq164tz5o1S1vOzs6WHR0d5aVLl5Z1eGbrfuf9f505c0aWJEk+depUGUVl\n/h503i9fvix7eHjIZ8+elRs0aCB/8cUXJojOfN3vvL/88svykCFDHmt/Ju8pGzVqFAMHDqRz586m\nDqVS+Ouvv2jfvj2DBg3C1dUVPz8/Fi1aZOqwzF5QUBDbt2/Xdl+fOXOGbdu28cwzz5g4ssrj0qVL\nJCUlERYWpq2ztbWlU6dOD1wyTjCO1NRUJEmievXqpg7FrKnVal5++WWmTJmCl5e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V+X0v6ezZs9x2586d1T7eipR8393d3WFra4uWLVtCX1+f58g0W+4bFr/9A/y6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\nf4ERr0/n4o1Idh5Yz5mrxw33nb96iT/CD3Dhmg3nr9VHr8/aq8JaC0M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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -937,14 +927,19 @@ "process_var = 1. # variance in the dog's movement\n", "sensor_var = 2. # variance in the sensor\n", "\n", - "x = (0., 400.) # dog's position, N(0, 400)\n", + "x = (0., 400.) # dog's position, N(0, 20**2)\n", "velocity = 1\n", "dt = 1. # time step in seconds\n", "process_model = (velocity*dt, process_var) \n", " \n", "# simulate dog and get measurements\n", - "dog = DogSimulation(x[0], process_model[0], \n", - " sensor_var, process_model[1])\n", + "dog = DogSimulation(\n", + " x0=x[0], \n", + " velocity=process_model[0], \n", + " measurement_var=sensor_var, \n", + " process_var=process_model[1])\n", + "\n", + "# create list of measurements\n", "zs = [dog.move_and_sense() for _ in range(10)]\n", "\n", "print('PREDICT\\t\\t\\tUPDATE')\n", @@ -953,8 +948,8 @@ "# run the filter\n", "xs, predictions = [], []\n", "for z in zs:\n", + " # perform Kalman filter on measurement z\n", " prior = predict(x, process_model)\n", - " #print(prior)\n", " likelihood = (z, sensor_var)\n", " x = update(prior, likelihood)\n", "\n", @@ -962,6 +957,7 @@ " predictions.append(prior[0])\n", " xs.append(x[0])\n", " kf_internal.print_gh(prior, x, z)\n", + "\n", "print()\n", "print('final estimate: {:10.3f}'.format(x[0]))\n", "print('actual final position: {:10.3f}'.format(dog.x))" @@ -985,7 +981,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1045,7 +1041,7 @@ "source": [ "## Kalman Gain\n", "\n", - "We see that the filter works. Now let's go back to the math to understand what is happening. The posterior $x$ is computed as the likelihood times the prior ($\\mathcal L\\cdot \\bar x$), where both are Gaussians.\n", + "We see that the filter works. Now let's go back to the math to understand what is happening. The posterior $x$ is computed as the likelihood times the prior ($\\mathcal L \\bar x$), where both are Gaussians.\n", "\n", "Therefore the mean of the posterior is given by:\n", "\n", @@ -1053,7 +1049,7 @@ "\\mu=\\frac{\\bar\\sigma^2\\, \\mu_z + \\sigma_z^2 \\, \\bar\\mu} {\\bar\\sigma^2 + \\sigma_z^2}\n", "$$\n", "\n", - "I use the subsript $z$ to denote the measurement. We can rewrite this as:\n", + "I use the subscript $z$ to denote the measurement. We can rewrite this as:\n", "\n", "$$\\mu = \\left( \\frac{\\bar\\sigma^2}{\\bar\\sigma^2 + \\sigma_z^2}\\right) \\mu_z + \\left(\\frac{\\sigma_z^2}{\\bar\\sigma^2 + \\sigma_z^2}\\right)\\bar\\mu$$\n", "\n", @@ -1073,8 +1069,6 @@ "\n", "$$K = \\frac {\\bar\\sigma^2}{\\bar\\sigma^2 + \\sigma_z^2}$$\n", "\n", - "\n", - "\n", "$K$ is the *Kalman gain*. It's the crux of the Kalman filter. It is a scaling term that chooses a value partway between $\\mu_z$ and $\\bar\\mu$.\n", "\n", "Let's work a few examples. If the measurement is nine times more accurate than the prior, then $\\bar\\sigma^2 = 9\\sigma_z^2$, and\n", @@ -1096,6 +1090,14 @@ "\n", "which is the average of the two means. It makes intuitive sense to take the average of two equally accurate values.\n", "\n", + "We can also express the variance in terms of the Kalman gain:\n", + "\n", + "$$\\begin{aligned}\n", + "\\sigma^2 &= \\frac{\\bar\\sigma^2 \\sigma_z^2 } {\\bar\\sigma^2 + \\sigma_z^2} \\\\\n", + "&= K\\sigma_z^2 \\\\\n", + "&= (1-K)\\bar\\sigma^2 \n", + "\\end{aligned}$$\n", + "\n", "We can understand this by looking at this chart:" ] }, @@ -1110,7 +1112,7 @@ "data": { "image/png": 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CoVCI0NBQrf4KhUL06NFDFBYWatrV12BhYSF++uknTXtBQYFo2bKl6NOnj6atsLBQ6z6r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\nVquWAdy5c4fU1FS8vb3R6XSMGDGCsLAwTp069dA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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1126,7 +1128,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "The Kalman gain $K$ is a scale factor that chooses a value along the residual. This leads to an alternative but equivalent implementation for `update`:" + "The Kalman gain $K$ is a scale factor that chooses a value along the residual. This leads to an alternative but equivalent implementation for `update()` and `predict()`:" ] }, { @@ -1144,8 +1146,15 @@ " y = z - x # residual\n", " K = P / (P + R) # Kalman gain\n", "\n", - " x = x + K*y # posterior\n", - " P = (P * R) / (P + R) # posterior variance\n", + " x = x + K*y # posterior\n", + " P = (1 - K) * P # posterior variance\n", + " return x, P\n", + "\n", + "def predict(posterior, movement):\n", + " x, P = posterior # mean and variance of posterior\n", + " dx, Q = movement # mean and variance of movement\n", + " x = x + dx\n", + " P = P + Q\n", " return x, P" ] }, @@ -1153,9 +1162,9 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Why have I written it in this form, and why have I chosen these terrible variable names? A few related reasons. A majority of books and papers present the Kalman filter in this form. My derivation of the filter from Bayesian principles is not unknown, but it is not used nearly as often. Also, the equations for the multivariate Kalman filter look almost exactly like these equations. So, you need to learn and understand them. \n", + "Why have I written it in this form, and why have I chosen these terrible variable names? A few related reasons. A majority of books and papers present the Kalman filter in this form. My derivation of the filter from Bayesian principles is not unknown, but it is not used nearly as often. Alternative derivations naturally lead to this form of the equations. Also, the equations for the multivariate Kalman filter look almost exactly like these equations. So, you need to learn and understand them. \n", "\n", - "Where do the names `P` and `R` come from? You will see them used in the rest of this book. $R$ is nearly universally used for the measurement noise, and $P$ for the variance of the process. Almost every book and paper you read will use these variable names.\n", + "Where do the names `P`, `Q`, and `R` come from? You will see them used in the rest of this book. In the literature $R$ is nearly universally used for the measurement noise, $Q$ for the process noise and $P$ for the variance of the state. Almost every book and paper you read will use these variable names. Get used to them.\n", "\n", "This is also a powerful way to think about filtering. This is the way we reasoned about the g-h filter. It emphasizes taking the residual $y = \\mu_z - \\bar\\mu$, finding the Kalman gain as a ratio of our uncertainty in the prior and measurement $K = P/(P+R)$, and computing the posterior by adding $Ky$ to the prior. \n", "\n", @@ -1175,10 +1184,10 @@ "sensor_var = 2.\n", "```\n", " \n", - "These are the variances for the process model and sensor. The meaning of sensor variance should be clear - it is how much variance there is in each measurement. The process variance is how much error there is in the process model. We are predicting that at each time step the dog moves forward one meter. Dogs rarely do what we expect, and of course things like hills or the whiff of a squirrel will change his progress. If this was a robot responding to digital commands the performance would be much better, and perhaps the variance would be $\\sigma^2=.05$. These are not 'magic' numbers; the square root of the variance is the distance error in meters. It is easy to get a Kalman filter working by just plugging in numbers, but if the numbers do not reflect reality the performance of the filter will be poor.\n", + "These are the variances for the process model and sensor. The meaning of sensor variance should be clear - it is how much variance there is in each measurement. The process variance is how much error there is in the process model. We are predicting that at each time step the dog moves forward one meter. Dogs rarely do what we expect, and things like hills or the whiff of a squirrel will change his progress. If this was a robot responding to digital commands the performance would be much better, and perhaps the variance would be $\\sigma^2=.05$. These are not 'magic' numbers; the square root of the variance is the distance error in meters. It is easy to get a Kalman filter working by just plugging in numbers, but if the numbers do not reflect reality the performance of the filter will be poor.\n", "\n", "```python\n", - "x = (0., 400.) # Gaussian N(0, 400)\n", + "x = (0., 400.) # Gaussian N(0, 20**2)\n", "```\n", "\n", "This is the dog's initial position expressed as a Gaussian. The position is 0 meters, and the variance to 400 m$^2$, which is a standard deviation of 20 meters. You can think of this as saying \"I believe with 99.7% accuracy the position is 0 plus or minus 60 meters\". This is because with Gaussians ~99.7% of values fall within $\\pm3\\sigma$ of the mean.\n", @@ -1220,7 +1229,7 @@ "\n", "Now look at the plot. The noisy measurements are plotted with black circles, and the filter results are drawn with a solid blue line. Both are quite noisy, but notice how much noisier the measurements are. I plotted the prediction (prior) with red triangles. The estimate always lies between the prior and the measurement. This is your first Kalman filter and it seems to work!\n", "\n", - "The filtering is implemented in only a few lines of code. Most of the code is either initialization, storing of data, simulating the dog movement, and printing results. The code that performs the filtering is the very succinct. \n", + "The filtering is implemented in only a few lines of code. Most of the code is either initialization, storing of data, simulating the dog movement, and printing results. The code that performs the filtering is very succinct:\n", "\n", "```python\n", "prior = predict(x, process_model)\n", @@ -1269,7 +1278,7 @@ "data": { "image/png": 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AqYuYo2lQt7P1+ACAxethwiCo6U9AQKnHf+Frd8LGvdai078Oe/oVpNGs0YCGosTQsGEx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\nx6hQoSiurk6AQr9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ytI5UKmWtlmKC6FgDt2ON3I4xcDs29fGv7ehY471ytSCuRDtzx+hm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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1394,12 +1403,12 @@ "\n", "Predict\n", "\n", - "$\\begin{array}{|l|l|}\n", + "$\\begin{array}{|l|l|l|}\n", "\\hline\n", - "\\text{Equation} & \\text{Implementation}\\\\\n", + "\\text{Equation} & \\text{Implementation} & \\text{Kalman Form}\\\\\n", "\\hline\n", - " \\bar x = x + f_x & \\bar\\mu = \\mu + \\mu_{f_x}\\\\\n", - "& \\bar\\sigma^2 = \\sigma^2 + \\sigma_{f_x}^2 \\\\\n", + " \\bar x = x + f_x & \\bar\\mu = \\mu + \\mu_{f_x} & \\bar x = x + dx\\\\\n", + "& \\bar\\sigma^2 = \\sigma^2 + \\sigma_{f_x}^2 & \\bar P = P + Q\\\\\n", "\\hline\n", "\\end{array}$\n", "\n", @@ -1409,12 +1418,12 @@ "\n", "$\\begin{array}{|l|l|}\n", "\\hline\n", - "\\text{Equation} & \\text{Implementation}\\\\\n", + "\\text{Equation} & \\text{Implementation}& \\text{Kalman Form}\\\\\n", "\\hline\n", - " x = \\| \\mathcal L\\bar x\\| & y = z - \\bar\\mu \\\\\n", - " & K = \\frac {\\bar\\sigma^2} {\\bar\\sigma^2 + \\sigma_z^2} \\\\\n", - " & \\mu = \\bar \\mu + Ky \\\\\n", - " & \\sigma^2 = \\frac {\\bar\\sigma^2 \\sigma_z^2} {\\bar\\sigma^2 + \\sigma_z^2} \\\\\n", + " x = \\| \\mathcal L\\bar x\\| & y = z - \\bar\\mu & y = z - \\bar x\\\\\n", + " & K = \\frac {\\bar\\sigma^2} {\\bar\\sigma^2 + \\sigma_z^2} & K = \\frac {\\bar P}{\\bar P+R}\\\\\n", + " & \\mu = \\bar \\mu + Ky & x = \\bar x + Ky\\\\\n", + " & \\sigma^2 = \\frac {\\bar\\sigma^2 \\sigma_z^2} {\\bar\\sigma^2 + \\sigma_z^2} & P = (1-K)\\bar P\\\\\n", "\\hline\n", "\\end{array}$\n", "\n", @@ -1441,7 +1450,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1475,7 +1484,7 @@ "data": { "image/png": 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6dOjA5MmTAWjZsiXz58+nW7du/POf/8Tb27vEzw4ODi69VlVIwW8s1lZvqNi6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\nFt11Rq+HHTvg739XPRldu8Knn8KZM5qFLYqQRE6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+0/tNTCRSsDllt0FsbCxpaWl4enpm6vf09GTXrl1Z7hMdHU3lypVv2N5qtRId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\nVqvV5HRiz3RrVWzOtpPb6P1Jb66kXAH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RFx5ewG8lv6Gjs0MdV/+sHj8/+Bk/P/gZACAa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\n", 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JODaX7DaIi4sjLS0NLy+vTP1eXl5s2bIly31iYmKoVKnSDdtbrVZiYmKoUqUK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\niH4TjxYj2i8a0X7RKKsvw4WHF3D+4Xn89vQ3tLa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s2TJP8wbc3Nw4e/Ysf/zxBzNnfsDVqz7079+HpUuXMnfu3Fy3m5GYmBh8fHzQ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\nvP6XiY2NY9CgQSxevISDBw+yevUaevbs+d3WzejWrQU+PseoXbtcvh0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a4R3S0BC5vfEF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\n8ccfG+Hh4Ya3t7cRGxtrFBQUmF1So7Vv3z7DYrEYV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4eHggMDAQp0+fVm5zdnbGiRMnAAC1atXClStXOBMaEREREalFUlISXrx4obKtWrVqAN6+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\nnjyZkSNHGjgyIYR4P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tVp4RERERUfezm3Anl8nh4tzu+bINfL4sERERSY/F4W79+vUICAiASqVCeHg4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\nUaNGQalUim3x8fG4dOkSLl6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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1654,6 +1663,7 @@ "bp.plot_measurements(zs)\n", "bp.plot_filter(estimates, var=np.array(ps))\n", "bp.show_legend()\n", + "plt.ylim(16, 17)\n", "bp.set_labels(x='step', y='volts')\n", "plt.show()\n", " \n", @@ -1681,11 +1691,7 @@ "source": [ "### Animation\n", "\n", - "For those reading this in a browser here is an animation showing the filter working. If you are not using a browser you can see this plot at https://github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/blob/master/animations/05_volt_animate.gif.\n", - "\n", - "The top plot in the animation draws a green line for the predicted next voltage, then a red '+' for the actual measurement, draws a light red line to show the residual, and then draws a blue line to the filter's output. You can see that when the filter starts the corrections made are quite large, but after only a few updates the filter only adjusts its output by a small amount even when the measurement is far from it. \n", - "\n", - "The lower plot shows the Gaussian belief as the filter innovates. When the filter starts the Gaussian curve is centered over 25, our initial guess for the voltage, and is very wide and short due to our initial uncertainty. But as the filter innovates, the Gaussian quickly moves to about 16.0 and becomes taller, reflecting the growing confidence that the filter has in it's estimate for the voltage. You will also note that the Gaussian's height bounces up and down a little bit. If you watch closely you will see that the Gaussian becomes a bit shorter and more spread out during the prediction step, and becomes taller and narrower as the filter incorporates another measurement." + "For those reading this in a browser here is an animation showing the filter working. If you are not using a browser you can see this plot at https://github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/blob/master/animations/05_volt_animate.gif." ] }, { @@ -1699,6 +1705,10 @@ "cell_type": "markdown", "metadata": {}, "source": [ + "The top plot in the animation draws a green line for the predicted next voltage, then a red '+' for the actual measurement, draws a light red line to show the residual, and then draws a blue line to the filter's output. You can see that when the filter starts the corrections made are quite large, but after only a few updates the filter only adjusts its output by a small amount even when the measurement is far from it. \n", + "\n", + "The lower plot shows the Gaussian belief as the filter innovates. When the filter starts the Gaussian curve is centered over 25, our initial guess for the voltage, and is very wide and short due to our initial uncertainty. But as the filter innovates, the Gaussian quickly moves to about 16.0 and becomes taller, reflecting the growing confidence that the filter has in it's estimate for the voltage. You will also note that the Gaussian's height bounces up and down a little bit. If you watch closely you will see that the Gaussian becomes a bit shorter and more spread out during the prediction step, and becomes taller and narrower as the filter incorporates another measurement.\n", + "\n", "Think of this animation in terms of the g-h filter. At each step the g-h filter makes a prediction, takes a measurement, computes the residual (the difference between the prediction and the measurement), and then selects a point on the residual line based on the scaling factor $g$. The Kalman filter is doing exactly the same thing, except that the scaling factor $g$ varies with time. As the filter becomes more confident in its state the scaling factor favors the filter's prediction over the measurement. " ] }, @@ -1722,7 +1732,7 @@ "data": { "image/png": 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ZGRX00LKkefPmmDp1KjIyMrBkyRKcOXMGJUuWxLZt27L8jlwux5IlSwAoi9cHBwfD2toa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\nEgDavXs3ERFNnz6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lqGXLlnT+/Pkcjyc+Pp5ZJWvVqsVyzDk4OJAgCCSTydgz4aeffqJl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\nT4qISHd3t5jNZrl48aJ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44APWrVtH5cqV2b17N7/99lu+cg+mxPj5+VG9enXef/99AEaMGEF8fDy//vor\nhw4dQqvVFm8DxAtLApgQQogyKTs72/AE/meffYa3tzf9+vUDeOgpx379+rF8+XLMzc25ceMGJiYm\nfPrpp9y9e5d69erh5eVF165d6datW76t9oQoKhLAhBBClElmZmY4OzsD8M477/Dtt9+ybds2AOrV\nq/dQ+XfffZfk5GQuXLjAnTt36NGjBxMnTkSr1fLSSy9RtWpVwsPDmThxYrG2Q7yY/vFK+EIIIcSz\nUBSF1NRUrK2tn/lBrG+++YahQ4fy3XffGY4NHz6c+vXrM3fuXJKSkmjWrBnvvPMOpqamWFhYGJZT\n2rdvH4qiMGbMGAICAjhx4gStWrUiODj4meokRGFIABNCCFFsAgICeP/997l79y5Vq1bl66+/NszP\nKozTp0+zc+dOAPr374+XlxdhYWF8//33hqcge/fuTevWrbl165bhvM2bNxMUFISpqanh2IMnJRMT\nE9FqtVy/fh0gXxkhiooEMCGEEMVix44djBs3DtA/GX/79m1GjhyJg4MD3bt3f+L5mzZtYsSIEeTm\n5gIwZ84c1qxZw6uvvppvUW8vLy9u3bpF586dGTp0KJ9//jkHDhwgICCAd955x1Bu8ODBzJs3jz17\n9mBra2tYBf9f//rX82y2EI8kc8CEEEIUi4CAAABmz55NdnY2EydORFEU/vvf/zJjxgz69+/PmDFj\nOHXq1EPn3rt3jzFjxpCbm8srr7zC8OHDycvLY9y4cQ+tNn727FlAf3tyypQphjldcXFx+crVqVOH\n7du34+TkRFpaGmq1Gl9fX+bPn18ErRciPxkBE0IIUSzu378PQOPGjVGpVDRq1AiAPXv25AtRGzZs\nIDQ0lJiYGA4cOIClpSWdOnUiPT2devXq8fPPPwMQGxvL+fPnOX/+PO3atTOc7+TkxMWLF1m6dClj\nx441lHdycnqoTt27d+fatWtoNBqsra3zLSAuRFGSACaEEKJYvPTSS+zdu5f33nuPLVu2sGfPHkC/\nX17dunXx8/Pjp59+YuvWrQwaNIikpCTDuQ9Gz65du8ahQ4dQq9VcvXoV0O/f+Ffz5s3Dw8ODgIAA\nw3k1a9Y03P78OyMjo0eGMyGKktyCFEIIUSymTZvGkCFDuHfvHps3b+b+/fuGUbCxY8cybNgwPvro\nIwCSkpKwtLTk66+/5o033kCn02Fubk5OTg7u7u506dKFrKwsvLy8qFu3br7v6d69O/v27aNPnz60\nbNmSkSO3SRgYAAAgAElEQVRHEhERQdWqVYu9zUIUREbAhBBCFJnbt2+TnJxM7dq1MTMzY9OmTYSH\nh3PlyhXq1avH8ePHmTRpEt9//z116tRh3bp1hnMHDBjAhAkTUBSF77//nqysLN555x22b9+Ooih4\neXnxn//855Hf261bN7p161ZczRRlQE6uQshx2PgbVLSAb6aW7F7UEsCEEEI8dzk5Obz77ruGW4CV\nK1dm9erVvPzyy3Tp0oUuXboA0KJFCwICAoiNjTUsR2FmZkZ2djZBQUFs2rSJ2NhYFEWhatWqLF++\nnBUrVpRYu0TZ8tfQ9eshSLmnP17JEhb7KpiZllwIkwAmhBDiuZs7dy4BAQGo1Wrs7e1JTExk2LBh\nxMTE0LhxY0M5S0tLwsLC8PPz49SpU9jb2zNp0iRmzpzJ7t27GTZsmKHsokWLnnnhVlH+abUKYSdg\nXQhsDoU7aQ+XScuA36KgX8dir56BBDAhhBDP3YYNGwDYtWsXvXv3ZujQoWzZsoWtW7fmC2AAlSpV\nws/PL9+xLVu24OfnZ3gK8q233mLgwIHFVn9Rtuh0CkfPws/79K/E5EeXq+UAr3SHYT2gbeNHlyku\nEsCEEEI8k7y8PD7++GNWrVpFVlYWvXr1IicnB9CHK5VKhbW1NQBarbZQ1zQzM5P1uMRjabUKEadg\nU6h+pCvh1qPL1bCH4T3+DF2lZRRVApgQQohnMn36dJYsWWJ4/9NPP2FnZwdA7969adSoEZGRkajV\navr27VtS1RTlQG6eQmg0bAmDrWGQVMBIl52NPnB594JOzUGtLh2h668kgAkhhHhqWVlZfP311wBs\n27aN2rVr4+HhgUajoW3bthw/fpzIyEhMTExYsWIFbdq0KeEai7LmfpbC3qOw5QDsiPhzIv3f2VYC\nL3f9aFcPNzA2Ln2h668kgAkhhHhqaWlpaLVaLCws6NevH8bGxrRo0YLg4GA++OADGjRoQHJyMk2b\nNsXe3r6kqyvKiJR7Cjsj9KFr9xHIzH50OTsbGNxNP6+rWyswKeWh668kgAkhhHhqdnZ21KxZk2vX\nrtG/f39q1qxJcHAwarWaVq1aUa9evZKuoigjEm7pQ9fWMNgXCbl5jy5Xw14/0jXYHbq2BCOjshO6\n/koCmBBCiKemUqlYs2YNnp6eBAcHG45/+eWXEr7EY+l0ClHnYUc47IyA6PMFl21cWz/SNdgdWjcs\nPRPpn4UEMCGEEM+ka9eunDx5ks2bN5OVlUWPHj3o0KFDSVdLlEIZmQohkbD9EOw6XPAkegC3hjDk\nJX3walSr7Aeuv5MAJoQQ4pnVrl2bqVOnlnQ1RCmUcEthR7h+pGtfJGTlPLqcsZF+HpdnJ33oquVQ\n/kLXX0kAE0IIIcRz8+DW4vZD+luLMRcKLlvFGjw7gmdn6N0OrCuW79D1VxLAhBBCFOj3338nMjIS\na2trunfvjrm5eUlXSZRCmdkK+yLh14P60PW4W4tNasOALvByZ+jQtOxOon9WEsCEEEI80rfffouv\nr69h9fqmTZsSFBSEk5NTCddMlAa37irsOgzbDsLeY3A/69HlTIyhm6t+lOvlzlCn+osZuP5OApgQ\nQoiHxMbGMn78eHQ6HX369CEuLo4zZ87w5ptvsn79eiIjIzE2NqZt27YyKvaC0OkUos/rJ8/vPgzH\n4kBRHl22qk3+W4uVLCV0/Z26MIUOHjzIoEGDcHZ2Rq1W8+OPP+b7fMyYMajV6nyvTp065SuTk5PD\nhAkTsLOzo2LFigwaNIiEhITn1xIhhBDP5O7du0RFRZGYmEhYWBg6nY5XX32VPXv2cOjQIQBCQkKo\nV68ePXr0wN3dnSZNmnDu3LkSrrkoKhmZClsOKIxdqOA0ENq9AfO/h6NnHw5fDWrA+yPg4ApI3AY/\nzFHxSneVhK8CFGoELD09nebNm+Pj48OoUaMeWcbDw4M1a9ag/K9HTE1N830+adIktm/fzoYNG7C1\ntWXKlCkMGDCA6OjocrGehxBClGXLli1jypQp5ObmAtC9e3cArl69SnZ2Nhcu6GdS5+bmcvPmTRo2\nbEhWVhZXrlxhyJAhnDp1CiMjoxKrv3h+kpL1Ty1uOwQhxwt+alGtho7N4OUuMKgLNCyHS0UUpUIF\nsH79+tGvXz8AfHx8HlnGzMzMsPnq36WlpREQEMDq1avp0aMHAIGBgdSqVYuQkBA8PDyepu5CCCGe\ng+DgYHx9fQFo1KgRFy5cYP/+/VhaWnLkyBGsrKwMwUxRFOrXr8/p06fJycmhevXqxMXFce3aNVxc\nXEqyGeIpabUKkef0k+d3H4aoxyyIamcD/TpAv47g0Q5sK0noelqFugVZGIcOHcLe3p6GDRvy1ltv\ncevWLcNnUVFR5OXl5Qtazs7ONG7cmIiIiOdVBSGEEE9hy5YtAEybNo24uDhWrVoFQN26dWnUqBG5\nubkYGxszdOhQADIzM8nKyuLevXvk5OiHR2T0q2xJTVf4eZ/CqI8UHAdCx7fgk1WPDl9NXWDWKDi8\nEhK3w6oPVbzaSyXh6xk9l0n4/fr1Y+jQobi4uBAfH8+///1vevToQXR0NCYmJiQlJWFkZESVKlXy\nnWdvb09SUtJjrx0ZGfk8qlhi1xfPRvqndJP+Kb3+Sd/cvHkTgFu3bhEZGcnVq1cB/WhXYGAg6enp\nmJubo9PpOH78ONeuXcPBwYG8vDyys7Np2bIlGo3GcB3xZCXxZ+dGsikHz1hz8JQNUb9bodU9OkAZ\nqRVa1knHvVkK7s1TcK76v3uQmRAdXYwVLiHPs2/q169f4GfPJYANHz7c8OumTZvSunVratWqxc6d\nO/Hy8noeXyGEEOI5uXjxIj/88AM3b96kdu3atGnThl9++YUff/yRiIgIrly5AsBLL70EQMWKFQ3n\nLlmyhBkzZvD7778D4Orqip+fn8zlLYUUBS4nmrP/ZGVCT9pwIcGiwLJVKuXSqXEqnZqk0q7BPaws\ntMVY0xdTkSxD4ejoiLOzMxcvXgTAwcEBrVZLcnJyvlEwjUaDu7v7Y6/Vpk2boqiiIeEW1fXFs5H+\nKd2kf0qvJ/VNbGwsb7zxBvfv3ze8j4qK4qOPPmLBggWGYPXWW2+xZMmSh24ttmnTBi8vL65fv46R\nkRFOTk4Svv6Bov6zo9MpHD0LW8P0r4t/FFzWraF+QdQBnaBVAxPUajvg0XO5XwRF0TepqakFflYk\nAezWrVskJCTg6OgIgJubG8bGxgQHB+Pt7Q3A9evXiYuLo3PnzkVRBSGEEI+wYMEC7t+/z8CBA3nv\nvfeYPXs20dHR5ObmkpiYyKVLl3BycqJmzZoFXkOtVj/2c1G8MrMVQo7rn1rcEQ6aO48uZ2oCPd1g\nYFcY0Bmq20lwLkmFCmAZGRn8/vvvKIqCTqfj2rVrxMbGYmtri62tLfPnz2fo0KE4Ojpy5coVZs+e\njYODA4MHDwagUqVKjBs3junTp2NnZ4etrS3Tpk3D1dWVnj17FmkDhRBC/OnatWuAfsK9u7s7ly5d\nIjo6mmvXrmFnZ1fg0+yidPlDo7D7COyKgJDIglehr1gB+nfUb27dr6MsiFqaFCqARUZG0r17d8Mw\n87x585g3bx4+Pj4sX76cU6dOERgYSEpKCo6OjvTo0YONGzdiaWlpuIa/vz8mJiZ4e3uTmZlJr169\nCAwMlKFrIYQoRg0aNCAqKorZs2czZswYlixZYjguSq+8PIXDp2Hn/1ahP3Wp4LJ2Nvpbi4PdoVcb\nMDeTf2dLo0IFsG7duqHT6Qr8fM+ePU+8homJCf7+/vj7+xe+dkIIIZ6rhQsXEhISQnh4OOHh4QA0\na9aMCRMmlHDNxN/dSVPYc0S/PteeI3D3XsFlG9bU31oc1BXaN3lxN7guS2QvSCGEKMcUReH8+fOk\npqbSuHFjXFxciIqKwt/fn+vXr9OoUSOmTp2KlZVVSVf1hacoCqcv6wPXrgiIOA0FjX2YmsBLrfS3\nFft1gAY1JXCVNRLAhBCiHMjLy+PTTz/lhx9+QKvVMnjwYGbNmoWPjw9BQUEAWFlZERgYyKBBg1i8\neHEJ11iAfgL9b1H6yfO7D8M1TcFlq9tB/076Ta57uEFFCwldZZkEMCGEKAcmTZrE8uXLDe+//vpr\nfvnlFxISErC0tMTZ2Znz58/j7e3NyZMnH7tApChat1JNWPmrws5w/QT6zOxHl1Op9LcT+3fSLxXR\nsj4yb7ockQAmhBBl3J07d1ixYgUAn3/+OZUqVWLatGkkJCQAcPjwYZo1a8bLL7/Mzp07CQoKkgBW\njPLyFI7F6edxbdrXiHN/WBZYtpIl9Gmvf3KxX0eoVlkCV3klAUwIIcq45ORkFEXBwcGBl156CZVK\nRbNmzTh69CgAWq02339lFKXoJd5W2HtUH7qCj/91Av3D4atRrT9HuTq3ABNj6Z8XgQQwIYQo42rW\nrImNjQ1JSUnMmTMHKysrjh49ikqlQlEUOnbsiIODA/Hx8VSoUIG+ffuWdJXLndw8hYhT+sC19yic\nuFhwWSO1wkutVXh20i+IWs9ZAteLSAKYEEKUcWZmZgQEBPDqq68aJtwDLF68mNDQULZv3058fDw2\nNjb89NNP1KlTpwRrW37cTVPYeRi2HdSHrnv3Cy5b3U5/a7GB3SXaNUzjpa6ti6+iolSSACaEECVA\np9Nx5MgRNBoNTZs2LXAhVK1Wy+rVq4mKiqJq1aqMGzfukdsADR48mOPHj7N06VJ0Oh2jR4+ma9eu\nTJ06lStXrpCamkr9+vXzLZAt/rlrSQq/HtRv+xMaA9oC9qw2MYYuLaBvB/2rWR39rd/IyJTirbAo\ntSSACSFEMcvIyGDw4MEEBwcbjn388cfMmTMnXzmdTsewYcPYsmWL4dg333xDWFgYTZo0ISEhAXNz\nc8P2QS1btuTtt98G8m8o7OLiUpTNKdcerM21NQx+PQjR5wsuW9NeH7b6dYQercFKtv0RjyEBTAgh\nitmsWbMIDg7GxsaGtm3bsm/fPj788EPatm1L7dq1uXTpErVq1eLs2bNs2bIFGxsbpk+fTlBQEKGh\noYwZM4b09HTOnTsHQL9+/Vi7di2VK1cu4ZaVD9k5Cgdj9QuibjsEV24UXLZdExjYRb8CfRMXecBB\nFJ4EMCGEKGYhISEAbN68me7du/PBBx+wePFiZs+eTXR0tKGcq6srAG+++SazZs3C29ubOnXqEB0d\njU6no1KlSmRlZbF79258fHzYtm1bibSnPHiwufXuw/q1uTIyH13OxBi6twYvd3i5C1S3k8Alno4E\nMCGEKGZmZmYA/PHHHyiKwh9//AFAdHQ0xsbGdO7cmcOHD3PixAkAtm/fzpAhQ9i0aROgvzXZsGFD\nYmJi0Gg01K1bl+3bt5OWllYyDSqD0u8rhMbol4gIOQ5x8QWXtbLQr8s1yF2/7Y91RQld4tlJABNC\niGI2atQoTpw4gY+PD76+vty7dw+1Wo1Op+Pzzz9nypQpBAQEMG7cOCwsLDh37hwdO3bMdw0rKyvM\nzc2xtbXFxMSE7OxscnNzS6hFpZ+iKJz8HXYd1j+xGHEK8gqYQA9Qx0m/Nlf/jvoRLzNTCV3i+ZIA\nJoQQxWzSpEncvn2b//znP9y7dw87OzuaNWvG/v37uXXrFoDhv507d8bBwcHwFOQbb7yBr68vkZGR\ntGrVijt37pCdnU2bNm2wtbXlypUrJdm0UuVehsK+KH3o2n0YEm4VXNbUBNxb/hm66teQ+VyiaEkA\nE0KIYqZWq1m4cCEffvghd+/epVq1auzdu5f9+/fj5+dHQEAAGo1+V+axY8fi7e2d73x7e3uGDx9O\nbGwsAA0bNmTDhg0vfGDQahWizkPQMQg+BodPP36Uq0U96NUWPNpC15ZgYf5i//xE8ZIAJoQQRSw3\nN5fjx4+Tnp5O69atqVq1KgDm5uY4OjoC0L9/f7799lumTJmCRqPB1NSUTz755KHwBdC7d28uX75M\nZGQkZmZmdOjQwTCv7EVzO0U/eX5XhH4+153HTIOzsYI+7fTLRPRpD/a2ErhEyZEAJoQQRejGjRt4\nenoaJtRbWlqyZs0avLy8Hir79ttv4+Pjw40bN3BwcMDCwqLA69ra2tK7d+8iq3dp9WAu184I/evI\nGVCUgsu3rKcPXP07QoemYCz7LIpSQgKYEEIUodGjR3PixAkcHBxwcnIiOjqaESNGEBcXR61atR4q\nb25uLlsF/c2dNIXgY/rJ83uPQmJywWUdqkDvtuDRTn97UUa5RGklAUwIIZ4gMTGRWbNmcerUKezt\n7Zk1axZdu3YlKCiIsLAwLC0t8fb2fmjF+ZycHMOaXydOnKBatWp4eHiwb98+wsLC+Ne//lUSzSn1\ntFqFyHN/Bq6jZ0Gne3RZtVo/suX5v8nzLerJ5HlRNkgAE0KUOxcvXmTfvn0YGxvTr18/qlev/shy\nv/76K4sXL+b27du4ubmxePFiUlNT+eijj7h69Sr16tVj8uTJDB48mPj4eMN5QUFBeHt7s3btWsMx\nPz8/9uzZQ3x8vGHroIEDB2JkZEReXh7JycnY2tqSmpoKgLGx/PX7V0nJCnuO6APXk+Zy2VaC3u30\noatvB6hiLYFLlD3yN4AQolzZuHEjr7/+Ojk5OQBUqlSJ7du34+7unq/cpk2bGDZsmOH9uXPnOHjw\nICkpKYYFTcPDw9m0aRMZGRm0aNGCb775hh9++IFVq1axdu1ajI2N8fX15ezZswQFBTFw4ECSk5Pz\nfUfz5s05deoULVu2pGLFiqSkpFC1alU8PDyK4adRemm1Csfj/lwiIuoxeyyqVNCuMfTpAH3bQ9vG\nYGQkoUuUbRLAhBDlxu3bt/Hx8SEnJ4cBAwaQlpZGWFgY3t7eXL16FRMTE0PZjz76CID333+fV155\nhTFjxhAXFweAh4cHH3zwAQsWLCA8PByAV199FXd3d6ytrVm1ahUAgwcPZsmSJWRnZ2Nubm4IX4sW\nLQJgxowZnDp1Ck9PT3bu3ElKSgq1a9fm559/NjwJ+SJJy1DYexR2hOuDV3JqwWUdquifWOzTAXq1\ngao2ErhE+SIBTAhRbsTGxpKZmUnr1q3Ztm0bOp0OR0dHEhMTDbcUH0hKSgLgvffew8XFBU9PT0MA\nmzhxIh4eHmg0GkMAW7p0KRUrVjRsBwRw+PBhoqOjiYmJMRxr2rQp06dPB+DHH3/kzJkzzJ07l1Wr\nVpGRkYGzszNGRkZF/rMoLeITFXaEw/ZDEBoDuXmPLmdsBF1a/DnKJXO5RHknAUwIUWYlJiYyceJE\njhw5go2NDYMGDQLg6tWrXLlyhbt373L37l1Afyvyr5o2bUpoaChjxozBw8OD7777zvDZggULuHnz\nJl9++SUANWrU4I8//mDSpEmAfgkIBwcHzp49i5ubm+E8lUrFmTNn+OqrrwA4c+YMKpWKWrVqUbVq\n1Rdi1CsnV+FgLIaNrR+3x6JDlf8tEdFB/8Si7LEoXiQSwIQQZcKVK1eYOXMm586dw9nZmffff593\n332X8+f1k4euX7/O6dOnqV27NvHx8dStW9dw7rBhw6hWrVq+6y1duhR3d3cOHDjAgQMHAP1iqLGx\nsURGRjJu3DgA6tWrx4EDB/j55585deoUDg4OvPPOO1hYWDB58mTDU5Bvv/02Go0GPz8/pkyZYvie\n2bNnY29vX9Q/nhJ1LUm/GOqeI7AvEtIzCy7bqgG83AVe7qz/tVotoUu8mCSACSFKpYyMDG7duoWT\nkxO3bt2iY8eOhu15Tp48yd69e9FqtdSvX59ffvmF4OBgpk2bRk5ODkOGDGHXrl0YGxvj7e2Nv7//\nQ9dv2rQpJ06cICAggOTkZFq3bs2oUaO4efMmX331FfHx8dSrV4+pU6dia2vL5MmTH7pGYGBgvveK\notCgQQO2bt0KgJeXFz4+PkXw0ylZmdkK4Sdhz1HYcxjOxhdc1txUv5n1gC4woBPUsJfAJQQUMoAd\nPHiQxYsXExUVxY0bN1i1ahWjRo3KV2b+/Pl899133L17l/bt27Ns2TKaNGli+DwnJ4dp06axfv16\nMjMz6dmzJ8uXLy/w8XAhxIsjISGB1NRU6tati6mpKR999BELFy4kNzcXKysrunfvjkajoWPHjnzx\nxRf4+/uzYcMGALp160bz5s1xdHRk2rRpJCcn88svv6D8b3n0B/OILly4wMaNG8nOzqZnz55069aN\nGjVqMG/evHx1cXBw4LPPPnuqdqhUKkaPHs3o0aOf/odRCmXnKBw5A/ujITRav/p8Tm7B5es46Te1\n7tcBXmoNFcwkdAnxd4UKYOnp6TRv3hwfH5+Hghfon/hZsmQJq1evpkGDBixYsAAPDw8uXLiApaUl\nAJMmTWL79u1s2LABW1tbpkyZwoABA4iOjpaJlkK8QHJzc9HpdJiZmZGRkcGoUaPYvHkzAFWrVmXk\nyJGGESs7Oztu3brFtm3bABg5ciQdO3YkJyfHEMDWrFmDjY0NR48eBcDV1RXIP4F73759vPzyy2Rm\n6u+Nffzxx3z++ed88MEHxdPoMkanU4j9Xb8e177jcDAWsnIKLm9mCi+10q/J1bc9NKgpE+iFeCLl\nH6pYsaKyevXqfMccHR0VPz8/w/vMzEzFyspKWblypaIoipKamqqYmpoq69atM5T5448/FLVarQQF\nBT30HSkpKYZXUTl+/Lhy/PjxIru+eDbSP6XbX/tHp9MpQUFBymeffab83//9n3L37t1HnpOSkqK8\n8sorilqtVgClV69eyogRIxRAMTU1VZycnBTA8PmKFSsUnU6nvPPOOwqgAErNmjWVJUuWKG5ubgqg\nNGzY0PAZoNja2iqxsbH5vler1Rqu/fLLLyvjx49XVCqVolKplAsXLhT5z6q4Pe2fnUvXdcp/t+qU\nV+folKr9dIqq0+NfTUfoFN8vdMrOcJ2SkakrgpaUT/J3W+lVFH3zuDzzzHPArly5QlJSUr5FBc3N\nzXF3dyciIoI333yTyMhI8vLy8pVxdnamcePGREREvPALEgpRVimKwoQJE1i2bJnh2MKFCzlw4AA1\natTIV3bEiBHs2rXL8D4kJAS1Wg3ol3NwdXWld+/e7Nu3D4Bq1aqhUqkME9jt7Oy4du2aYYJ79erV\nCQ4O5sSJE4anIEeMGPHQtIZbt25x48YNLC0t2bp1K2q1mgsXLhAcHMzJkyepX7/+8//BlAFJyQr7\no/WT5n+LgvjEx5evX0N/O7F7a/1ol0MVGeES4lk8cwBLSkrK95fkA/b29ty4cQMAjUaDkZERVapU\neajMg7V4ChIZGfmsVSzR64tnI/1Tuvn7+7Ns2TLMzMwYMGAAMTExXL58mZEjRxqWcAB9CNq1axem\npqasX78eCwsLXnvtNcMSEZcvX0ar1RpWrwf97camTZsa1tiaNGkSt27d4urVq1SrVo2hQ4ei0Whw\ndHRk8ODBgH5ZisTE/EkiOzsbIyMjMjIyWLRoEY6Ojhw7dgyAO3fulNvfY39vV0q6EVG/WxF1Uf+6\noqnw2PNtK+bStmEa7Rrco22DNBxs/5z0df2K/iWeXnn9fVcePM++edz/4MlTkEKIQjtx4gRfffUV\n169fx9HRkTp16gAwZMgQpk6dSnx8PMOGDePMmTP5zsvKygLAwsICR0dHjIyMsLW1NQSwMWPGYG9v\nz6VLlzAxMcHNzY0jR44QFRUFwNixY+nTp89T1dnMzIwRI0YQGBjI7NmzDcdbtWpFixYtnuqaZYEm\nxYQTlyrqX5etuJT4+MBVwVRL63rptGmgD111HTP53wClEKIIPHMAc3BwQFEUNBoNzs7OhuMajQYH\nBwdDGa1WS3Jycr5RMI1G89D+bH/Xpk2bZ63iIz1IuEV1ffFspH9Kn9jYWHx9fcnOzgYgNTWVCxcu\nAPoRLCcnJ8N6WtWqVcvXd66urobFTH19fbG0tOTSpUtYWVnRokULwsPDSU9Px9LSktWrVzNkyBBi\nY2NJSEigYcOG+VawfxqrVq2icePGrFq1iuzsbHr16sWXX3750OKsZZWiKPx+HcJOwJZ9ycRcqkji\nHbPHnmNiDB2aQo820NMN2jUxwtTEBrApnkq/oOTvttKrKPomNbXg/baeOYC5uLjg4OBAcHCwYUXo\nrKwsDh48yBdffAGAm5sbxsbGBAcH4+3tDegXTYyLi6Nz587PWgUhRDH45ptvyM7OZtiwYfj4+LBi\nxQp27tyJubk5R48ezTf3asqUKWRmZhIXF4e5uTmNGjVi06ZNeHp6Gka1LC0t2bBhA3379uXUqVOk\npqbSrFkzKleuDOhD24MnGp+VWq1m1qxZzJo167lcr6Tl5imc/B0On4ZDsRAWC0mGPcCrPPIcYyP9\nJtYP5nF1ag4W5jKPS4iSUqgAlpGRwe+//46iKOh0Oq5du0ZsbCy2trbUqFGDyZMn4+fnR8OGDalf\nvz6ffPIJVlZWvPbaa4B+C5Bx48Yxffp07OzssLW1Zdq0abi6utKzZ88ibaAQ4vl4sNG0p6cn9vb2\nuLu7s3PnTlq1aoWJiQkxMTFUqVKF6dOn06xZM+rUqWOY49muXTu2bt1KXFwcv/32G1qtFnd3d0No\nK8+3Ap+HW3cVwk/pA9fRM3A8DjKzH39OBTP9CFeXltC1pf7XFS0kcAlRWhQqgEVGRtK9e3fDui7z\n5s1j3rx5+Pj4EBAQwPTp08nKysLX19ewEGtQUJBhDTDQT9Y1MTHB29ubzMxMevXqRWBgoKwVI0QZ\n0aZNG7Zu3crMmf/f3r3H5Xz+Dxx/3XfndJQO66TkEJFThJxyisYctzmLYYwyzGyMH7Y0px3YMMaW\nYTS2mS9ziKIIOVcOIYecMkSlA7qv3x/3uudeqUYnXM/H437QdV+fz+f6dHV497mu6319RMeOHdmx\nYwegToQaEhKiqXf37l1q1arF7du3cXZ2Ji0tjUOHDjFgwAB2797NW2+9VV638EIQQpB4BfbFQfRJ\n2H8SEpOLPs7cRB1ouVpdpYFbBgO6u6OvJ3++SlJFpRDi73TRFciTY6bm5ualcg05Dl+xyf6peLKz\ns8hh4LgAACAASURBVPHz82Pv3r2asiZNmrB7925MTEw0ZZs3b+aNN96gfv36HD58mDt37uDo6Mjj\nx4+5d+9eqX1Pv6iycwSHz6gDrpg42B8Pt+8VfVxVO/VTreb1oE0DqFsNdHQU8nungpP9U3GV9hyw\nf//sk6sgJUkqFkNDQ8LDwwkLC2PPnj3Y29vz0UcfYWhoWGD9J/+2q4B/55WbtAeC/XHqCfNRJ9TD\niYVt6wOgrwde7tC8rvrVzAPsreXTLUl6kckATJIkVq9ezbJly3jw4AGtW7fms88+05pCkEdPT48B\nAwZQq1YtgAKDr5YtW1KlShVOnjxJtWrVSEtLIzc3l3bt2r1yT7+EEFxJgQPx6vlb+07CsXOgUhV+\nXGUz8KkHLTyhpSc0rgWGcj9FSXqpyABMkl5x33zzDYGBgZqPjx49ytGjR9m1axe6uv/9R4SlpSWb\nN2+mV69eJCerJy95e3uzZs2aEmtzRZX2QD2ceOiU+nUg4cnViU9X00kdbPnUAx9PqCX3UpSkl54M\nwCTpFSaEYNq0aQDMnTuX+vXrM3DgQPbu3cuuXbueOflps2bNSEpK4syZMxgYGFCrVi3NtkMvi8eP\nBXFJ6iAr9u+A6/RlKGq0VaGABjXUE+ZbN1CvUrSxlMGWJL1qZAAmSRWYSqXi+PHj3Llzh3r16mmS\nG/9bVlYWCxcuJD4+HltbW8aOHYuLi0uR58/KyuLePfWM7wkTJqCjo4Ovry9hYWFERkayaNEiUlJS\n8PT0ZPbs2fm2HCuMoaFhieXxqghS7gpi4tUBV14qiMzsoo8zNQbvOuDtoZ6/1aIeWJjKgEuSXnUy\nAJOkCio9PZ2ePXtqNqfW09NjyZIlvPPOO1r1srOzadeuHQcOHNCUrVy5kv379+Pu7l7oNYyNjala\ntSqXL19mwIAB1KtXj02bNgEwb948cnNzAfXqoMjISA4fPqxJlPoyy80VJFyE/X/n3tofBxeuFX2c\njg7UdYUmdaBpbXXA5V5VvTpRkiTpSTIAk6QKavz48ezatQtzc3Nq1arFoUOHGDlyJA0aNNDsOgGw\nYsUKDhw4gKOjI1OnTiUsLIyIiAgmTZrE5s2bi7zOsmXL6NatG+vXr2f9+vUAvPbaa9y4cYOAgAAG\nDx5MUFAQ8fHxrFy5kokTJ5baPZeX9AeCg6f+SQVxIAHSHhR9nJOtekVi0zrqp1wNa0IlIxlsSZJU\nNBmASVIFtXXrVgDCw8Px8vJiyJAhrFq1ih07dmBhYcHly5dxc3Pj7NmzAIwZM4ZRo0bh7e1No0aN\nNOUFefDgAQqFAmNjYzp16kRsbCyrVq0iIyODNm3a8MknnwDqINDT05O3336b+Ph4rl0rxmOgF8CN\n24KoE+pEp/tOwonzRa9MNNBXr0bMSwPRrC44yFQQkiQ9IxmASVIFlbcCMTU1FZVKRWpqKqBOdDpl\nyhRNPV9fXwDWrFmDl5cXP/zwAwBOTk75zpmSksLgwYM1Wez9/PxYtWoVnp6ezJ8/X1Nv9erVJCUl\nMW7cOHr37s3ixYsBNOknXiQ5DwUnzqsnyceeVgdcSdeLPs7OSr0qsXk9aFFX/XTLQF8GXJIklQwZ\ngElSBXH+/Hk2btxITk4O7du3p2/fvsybNw8/Pz+sra25desWurq6xMTEoKurS+PGjYmNjSUiIgIb\nGxvi4+Pp2LEjoJ4vNnPmTK3zq1QqevTowYEDBzQpDrZv306vXr2IiorSSnswf/58YmJiiIyMJDIy\nEoBWrVoxdOjQsvlkPIe/UgV7j6s3qD6YAMfPFZ3oVKGAem7qCfIt6qkDL5fXZCoISZJKjwzAJKkU\npaam8vHHH3Pw4EEsLCwICgqiZ8+e+ert3r2bbt26kZmZCaj3W503bx7Dhg1j5cqV3Lp1CysrK1xc\nXDhy5AhLlixh+PDhzJ07l8mTJ9OiRQuqVKlCfHw8dnZ2TJ48mWbNmmld48yZMxw4cABzc3NOnz6N\nEILatWuzb98+EhMTtZ5u1a5dm2PHjrF48WLNKsgxY8agr69fup+wZ3Dzjjrg2nMc9h6DhItFH2Oo\nr16V6PN3otPmdcHcRAZbkiSVHRmASVIpycrKon379hw7dkxTFhkZyerVqxkwYICmTKVSMWjQIDIz\nM3n99ddxcHBg2bJlTJ48mXPnzjF37lxSU1NxdnbWBG8ZGRmAeqUkgImJCcuXL9e6fkZGBtOmTSMq\nKgoTExPN0zELCwtsbGwA9d5kaWlpZGVl5Wt/1apVmTNnTgl+Rp6fEIKka+otfPaegOgTcP5q0ce5\nOagnyTf5e7J8o1rIjaolSSpXMgCTpFLy22+/cezYMapWrcoPP/zAzp07CQkJYfr06VoBWEpKCtev\nX8fU1JRNmzaho6PD+fPn2b17NydPnqRHjx5YWVkB8NZbb7F161bGjx/PV199xeXLlzXlT3r8+DH+\n/v5ERUVpyvbs2YOpqSmXL1+mWbNmCCFITk7Gzs6uyHQV5UWlEpy+pA62oo6r90+8frvwY/R0oUlt\ndZLTVvXVKxStzGWwVZ5UKhUPHz4s72ZUCFWrVgXU6WOkiuW/9o2+vv5zJZiWAZgklZLr19Uzvbt0\n6YKvry/169cnJCREU57HwsICHR0d0tPT+eOPP3B2dubEiRMAmsArz+DBg7l8+TKzZs3i8uXL6Ovr\nM3fuXLp166ZVb8eOHURFRWFjY8OqVas4evQoU6ZMQaFQYGlpyeHDhwGoXLkyGzZseOqG2mXt8WP1\nhPm8jaqjTsCd+4UfY6CvfqrVqj60baQeTjQ2lAFXRaFSqcjJycHQ0FDOqaPg/VOliuG/9I0Qguzs\nbAwMDJ45CJMBmCSVkjp16gDq1YkuLi6ap1G1a9fWqmdkZERQUBBffvklvXr10pT7+PjQokULrboK\nhYLp06czbtw4rl27hpOTE6ampvmunZcuon379vj5+dG+fXumTJlCWloaycnJHDp0CIDWrVtTpUqV\nkrvp/+jhI/XeiXuOqYOtfSchPbPwY0yN1fO2Wv69lY+Xu1ydWJE9fPhQBl/SS0ehUGBoaKj54+JZ\nyABMkkpJly5d6Nu3L+vWreOjjz4CoFKlSpqUDk+aN28eFhYWhIaGkpOTQ8eOHfnqq6/Q0dEp8Nzm\n5uaYm5s/9dp5wd/vv/9OSEgIx48fB6BatWo4Ojri6Oj4vLf3TLJzBIdOQ+RR9VOumHjIyin8mCoW\n0Lo+tGqgDrg83WRm+ReNDL6kl9Hzfl3LAEySSolCoWDNmjV07NiRQ4cOYW5uzrBhwwrMpaWjo8P0\n6dOZPn16iVy7RYsWjBgxguXLl2tyhhkYGPDdd9+VyPmLKztHnWE+8hjsOQoxCZBTxFQgB2to00Ad\ncLWqD7Vd5C9wSZJePjIAk6RSpFQqGTZsGMOGDSvT6yoUCr777jtatWpFdHQ0JiYmDBkyBE9Pz1K9\n7q1Uwf449VBiTDwcPlN0Di5Xe3XA1boBtGko829JkvRqkAGYJL2kFAoFgwYNYtCgQaV2jdv3BBFH\nYddh9bBiYnLRx9Rw+ifYatMAnGxlsCVJ0qtHBmCS9Ay2bNnC9OnTuXbtGrVr1+brr7/G09OTW7du\nceHCBRwcHHB2di70HGlpaejo6FCpUqUyavXzy8hU76G4dosDsYlmJBZja8iaTtCmEbT9O+Cyl/sn\nSq8QR0dH/P39WbZsGQAXLlygRo0arF69mv79+5dz66TyJAMwSSqGW7ducf/+fVxcXIiIiKBbt24I\nIQB1Hq/WrVszevRo5s2bR25uLgCjRo3i22+/zbdE+cqVK/Tv3599+/YB0L17d3744QcsLS3L9qaK\nIW8O1+4j6tfBBHicC2BXYH19PXUOruZ11VnmW9QFa0sZcEkvp9DQ0KduzzV27FgWLlyIUqksckh9\n3759hIeHM3HiRExMTEqjqVIFJAMwSSpEZmYmQ4cOJSwsDAA7OzscHR0RQjBmzBjGjx/PqFGjCA8P\n5/PPPwfA09OThIQEli5dSvXq1Zk4caLmfI8ePcLf35+EhAR0dHTIzc1l06ZNDBgwgK1bt5bLPebJ\nyzJ/IAEOnvpnH8VHj59+jI6OOgdXu8bQoYn6/zIlhPQqUSgUzJw5k2rVqmmV5y22uXDhwlNXM+eJ\njo5m1qxZjBgxQgZgrxAZgElSId5//33CwsLQ1dXF0tKSmzdvcuvWLQD69OmDm5sbXbp0ITw8HIAp\nU6YQHBzMTz/9xODBg/n999+1ArDY2FgSEhKwt7cnLi6O+/fv4+7uzp9//snNmzexsyv4yVJpyM0V\nxCf9k/R073G4lVr0cZ7VoY5DCk1qpvPOm9UxqyQDLunV1qlTJ5o2bVrge3p6ekUen/c0vaRlZmZi\nbGxcKueWnt+z59CXpFfAunXrAIiJieHGjRu0bdsWlUoFqIcYP/74Y2bPnq2p//ix+nFR3jDkv4ce\n8ra4sLKywtLSEnt7e80PyNLemiQ1TbD9oGDWSkHXDwRV/KFhAIz7CjZEPD34qukEI7vDulmQ8j84\nHqpgQq+rtKp7XwZfklQER0dHRo4c+dT3p02bpkkV4+joiFKpREdHh/3792vq/Pnnn7Rp0wYTExPM\nzMzw9/cnLi5O6zwDBw7E1NSUixcv0rVrV8zNzenRo0fp3JRUIuQTMEl6ghCCixcvkpubS7Vq1TQB\nlYWFBUqlUpN13tbWlrNnz2qGHb28vDh8+DBz585l06ZNJCYmAtC7d2+t8zds2BBzc3Pi4uJo3rw5\nGRkZ3Lt3Dzc3N5ycnErsPrJyBMfPQexpOHJGPZxYnBWK5ibQzAO8PdT/Nq0Dlc1kkCVJhbl//z53\n7tzRKsvbRqyo+V9vvfUW58+fJywsjG+++QYLCwvgnyHMn376iYCAADp37sycOXPIzs7WpJg5cuQI\nbm5umuvk5ubSqVMnfHx8mD9/frGevknlp0QCsJkzZzJz5kytMjs7O60972bMmMHy5ctJTU3F29ub\nb7/9VpOtW5IqgqtXr9KrVy9iY2MB9Q/AVq1asWPHDry9valatSrHjh1DX1+fLVu2EBsby7Vr13B3\nd6dv374sXryYiRMncvbsWQDGjRtHYGCg1jUsLS0JCwujT58+HDx4EIDXXnuNDRs2FDlPpDBXbgoi\n/97O5/BpiL8Ifz+EK5Sd1T9Z5lvVh7rVQKmUAZdUfmasEMxaWTrnnj4MZrxTsl/fQgj8/Py0yhQK\nBenp6cUa/qtXrx4NGjQgLCyMHj16YG9vr3kvIyODwMBARo4cyZIlSzTlw4YNo2bNmnz66af8+OOP\nmvKcnBz69OlDSEjI89+YVOpK7AmYu7s7e/bs0YxlP/nLZM6cOXz55ZeEhoZSs2ZNZs6cSceOHUlM\nTHyhluBLLy8hBL179yY2NhYzMzN0dXU5e/YsOTk5NGvWjAMHDnD37l2MjIwIDQ2lcePGNG7cWOsc\ngYGBDBw4kKSkJBwcHJ46n6tTp06cO3eO/fv3o6OjQ5s2bQrdVqggV24K9hz/J8N80vWij9HVgQY1\n1E+18p5wVXeUSU8l6XkoFAoWLVqEu7u7VrmRkdFzn3vbtm2kp6fTt29frSdsQgh8fHyIiIjId8zo\n0aOf+7pS2SixAExXVxdra+sC3/v666/5+OOPNePRoaGh2NjYsHbtWkaMGFFSTZCkZ3blyhUOHTqE\niYkJSUlJGBkZ4e7uzqVLl1i9ejWGhobcv38fT0/PQjevtrS0zBeYFcTW1paePXsWq21CCM4la0+W\nv3yz8GMUCqjlrN6o2qu2OjVEwxpgaCCDLUkqaV5eXk+dhP88zp07hxACX1/ffO8pFAoMDAy0ynR1\ndYvMPyhVHCUWgOX91W9gYIC3tzezZ8/G1dWVixcvcvPmTTp27Kipa2hoSOvWrdm/f78MwKQKIW/S\nvI6ODgYGBujp6WnNnyhOUFWSUu4KwmMhPBZ2xsL124XXNzYEn3rQuqH630a1kBPkpRfSjHcUzHin\nvFtRMahUKhQKBatXr8bW1jbf+//OMfjvgEyq2EokAGvWrBk//vgj7u7u3Lp1i08//RQfHx8SEhK4\nefMmCoUi3xePra2t1hwxSSpPLi4ueHh4kJCQQK1atTAwMODixYvY29vTsGHDUr/+/Qx1hvm8bX1O\nni+8vrGhOslpXob5JrVBX08GXJL0InraNIC8CfbW1ta0a9euLJsklYESCcD+PQGxWbNmuLq6Ehoa\nire393Od+/Dhw891fHmfXypabm7uU7NFl2X/zJw5kwkTJnDlyhVA/UMvJCSEU6dOlfi17qTpcjrZ\nmGMXTDlyzpQzycaoxNMDKBOjxzR0y/j7lU4tx0x086ZZPoSTJ0q8icUiv38qrorSN1WrVsXQ0LC8\nm1Gh5c2FTk1N1ZqE36VLF0xMTJg9ezZt27ZFV1f7V/bt27cLnRIhlb709HTi4+Of+n6NGjWe+l6p\npKEwNjbGw8ODc+fO0b17d4QQpKSk4OjoqKmTkpJSpkknpYrn6tWrzJo1i5MnT2JoaEjPnj0ZM2ZM\nvh8yz+Lx48da57lx4wbnzp3DwsICDw+PAlccVq1alXXr1pGYmEhubi41a9YskV8cmTlKTiSZcOqK\nMaevVOJMsjG37usXeoyOUuDpmkHTWml410qjtnMmOjJrnyRVOCWRRNXLywshBJMnT+btt99GX1+f\njh07UrlyZZYsWcKQIUNo2LAh/fr1w8bGhsuXL7Nt2zYaNmyo2WNSevGUSgCWnZ3NmTNnaN++Pa6u\nrtjZ2bFz507NPJrs7GyioqJYsGBBkefy8vIqjSZq/josrfNLhUtLS+PNN9/k0qVLADx48EAzz2H+\n/PnP3D+///47QUFBJCcnY29vzxdffMGtW7d4//33NQlU27Rpwx9//IGZmVmB52jevPmz3xjqDPNH\nzqrnbu08BDHxhW/nA+pJ8w1rQttG4NsI2jRQYGJsBhTcxvImv38qrorWN6WdYLi8FbWKWKFQ5Kvz\n74+9vb0JDg5m6dKlbN++HZVKRVRUFC1atKB///44Ojry+eefM3/+fHJycnBwcKBly5b55lDLFc1l\nz9TUtNDvtfv37z/1PYUogfB90qRJdOvWDWdnZ1JSUvj000+Jjo4mLi4OJycn5s6dS0hICCtXrqRG\njRp89tlnREdHc/bs2QLTUDzZ4P+6PL+4KtoPqVdNWFgYb7/9NrVr1yYqKoojR47g5+eHsbExGRkZ\nHDlyBPinf86cOcPatWt58OABrVu3pnv37vnOGRUVpZWp/t/atGnDyZMnSU1NZejQodSvX5/du3dj\naGjIkCFD8Pf3f6Z7SXsgiD2tDrQOJsD+OEhNL/wYIwN1SogmtcG3sToXl+ULlPBUfv9UXBWtb7Kz\ns+UQpPTSKurru7B4pkSegF29epX+/ftz+/ZtrK2tNXmT8jJ7f/jhh2RnZzN27FhNItYdO3bIHGCv\nsPR0dYTi7u6OlZWVZq5gVlaWJvt8nsjISPz9/cnKygLgiy++YNKkScydO5fExERSUlJwd3fn+++/\nR6VS8e677/Ltt9/ywQcf8NVXXwEwYsQIli1bxqFDh/D29mb9+vX88MMPmmuEhYWxYsUKhg0bVmi7\nhRBcSVGng4g+oQ62Ei5CUX/GeFZXJzr1cofG7uDuDLq6L07AJUmSJJWsEgnAfv755yLrTJ8+nenT\np5fE5aSXgLe3N0qlkt9++40+ffpotu5p2rRpvu0zhg0bRlZWFt27d6dOnTrMnz+fefPmcezYMc0m\n2Hp6enh4eADqv/x1dHS0ngDcvHkTlUrFjRs3APUmtUZGRixcuJCkpCRCQkIYP348Q4YM0ZofplIJ\nEi6qA659J9X/Xr1V9P3ZWUGnJtChKXTwAjsrGWxJkiRJ/yiRIciSJocgXw3ffPMNQUFBmkmsjo6O\nhIeHc/nyZZYvX45CoWDw4MF069YNpVJJTk4Ourq69OnTh40bNwLqnHLu7u4cP35cc14zMzPeeOMN\ntmzZQmpqKnp6ejx69AgLCwvu3bunqde1a1c2b94MgImJCQ8ePCDpcgrJd63Zd1IdcO2Lg/sZhd+H\nUgmebv9kl2/mATWdX+75GPL7p+KqaH0jhyCll1m5D0FKFdP9+/dJSUnBycmpRLbFKGljx46lTZs2\nxMTEYGJigr+/P6Ghobz//vuaOr/88gsGBgbk5OSwbNkyPD09iY6O1rz/+++/4+fnx+jRo1m6dCk1\na9YkMTGR1atXA+Dv78+YMWMYNmwYKSkpKJVK+vTpQ1hYGOG79vDp/F84dErwwHYuOuYtqDmwSpF7\nKJoYQfO60LI++HhC09pgYvzyBluSJElSyZMB2EtIpVIxZcoU5s2bh0qlolKlSixZsoRBgwblq3vn\nzh0+/PBDDh06hKWlJePGjaN3795l1tZ69epRr149AP766y8++OADAAYNGkRubi5r167VzAkbM2aM\n5jgjIyOysrLIyclBCKFZadW7d2/atWvHhQsXcHFxoWPHjgihYHfMNfYeTiX5jinnr+lj0WY+93Js\n+L/f1OkgFHagAigg+LKtrJ6/1aKe+t/61eX8LUmSJOn5yADsJfTNN98wZ84cAOzt7bl+/TpDhgyh\nWrVq+Pj4aOplZmbi6+tLXFycpiwqKopVq1YVGKyVtvPnz/P48WPq1atHUFAQAEeOHOHs2bNMmTKF\n7du3a1ZBWlpaMmfOHHr16oWzszMXL15ER0eHLq/3Qde8Iar09vx2AmZsgLgkyMxWAlZPXM0RxVPy\natVxAe+60MpT/ZTLzeHlHk6UJEmSyp4MwF5C69atA9Cs6ssbnlu/fr1WAPbrr78SFxeHq6srq1at\nYtu2bQQHBzNz5swSD8DS09OZO3cu8fHx2NnZ8f7771OrVi2tOg4ODgCcOnWK7du3k5uby7lz5wD1\ncGVwcLCm7qNHj7ia8pA1v8VxMac+urW9sK3WGd+PzHlKFooCOdqo5281qwveddRpISxMZbAlSZIk\nlS4ZgL2E8obsLC0tAahcuTLwz4bTefL24uzSpQstW7bE3d2d4OBgzUrBkvLgwQNatWrFiRP/7Jez\nZs0a9u3bpxl+BHB2dmbEiBEsX76cTz75RFM++r2xpGbbsfNPwfFzEH8BTl7Q5VbqAhTqhY/kAtdT\nn94GOyv10GHdalDHVf2Uq7aL3LBakiRJKh8yAHsJ+fv7ExsbS//+/WnUqBExMTGa8iflpW346aef\nsLe3JyoqCoA6deoU+1pxcXEsXryYu3fv0rhxY8aNG4eBgYFWneXLl3PixAmqVavGzJkzWbNmDdu2\nbeOjjz5iy5YtWnUXLlqCcZWmbNyWRLZObUxfa8tPZx1YOrB47VEqoZYzNKwB9Wuok53WrwE2ljLQ\nkiRJkioOGYC9hKZOncqZM2dYv349+/fvR6FQEBwcTIcOHViyZAlnz57FycmJYcOG0b9/f9auXat5\n4mRqasqSJUsKPO/58+f57bffyMnJoX379gghaN++vWYCfFhYGDt27GDbtm1a+zCeP38egHfffZeB\nAwfi4eHBtm3bOHf+AifOCfYeh2OJcOI8JFxU8vDRO/D3os07d55+n8aGUK8a1HWDRrXUQZdndTA2\nlMGWJEmSVLHJAOwlpKenx88//8y0adO4fv06tWrVwsbGhvbt27Nv3z5NvSVLlhAdHY2fnx+HDh3C\nwsKCoUOH4ubmlu+cu3fvplu3bmRmZgIwbdo0qlatSnZ2Nr169aJLly5MnTqVXbt28csvv9CvXz/N\nsa6urgCsWBmKgWVjVm5Iglq/cLlKBxoGFO+eXrNSZ5FvWEs9lOjpBq72oFTKYEuSJEl68cgA7CWQ\nk5PD3r17SUtLo3Hjxri4uKBQKPDw8NAMM86bN499+/bh4ODAe++9x9q1a0lISGDatGksX76cwYMH\nP/X8KpWKgQMHkpmZSZcuXbC3t2fFihVcvnwZgIULF+Lg4MCZM2dYsGAB8acvk5AkuHgD4pPgeGog\nhk39SVS6Mv5HA6AdCit49JQUwFXtoKr1PWo6ZNLN157GtcDeWgZakiRJ0stDBmAvuOvXr+Pn50d8\nfDwAurq6fPfdd/n2NMxLNTF16lRGjx5N06ZN6dixo1YKiidFR0ezfft29PT0aNmyJTdu3MDMzIzN\nmzejo6ND4oWbRB2+DcYedB51CkMLJSfPDIOmUwnZZUHIrifPpge67hQUQtlYQtuG0Lyeer6Wp5t6\nU+rDhy8A4OXl8LyfIkmSpFIRGhrK0KFDAXUKnydXmeepXr06SUlJtG3blt27d5d1E6W/ZWVlMXfu\nXHx9fWndunV5NweQAVipunTpEkuXLuXWrVt4enry3nvvoa+vX6LXGD58OPHx8Tg5OVGjRg12797N\nyJEj8fb21jz9ArC1tQXUmeVbtGhBaGioVvmTFi1apMnDhbISumZ/orANIM2wDt4Bf3E91ZKbDzej\n8FRXSbgL3AX07QoMsp7kYK3eqqdtI/BtpF6JKHNsSZL0IjMyMmLt2rX5ArCDBw+SlJRUIXciedVk\nZmYyc+ZMFAqFDMBedqdOnaJly5akpv6TG+GPP/7QPFUqCUIIdu1SP2qKiYnBwcFBs0/i3r17tQKw\nMWPGsGLFCiIiImjQoAGgnis2efJkhBCcuQxnr8CRhPsEf60PdXZgat2QjEdWmuTwCuBoUjHapcrG\ngBSq2ilJuRTJ/Rv7Gfp2E774bJjMsSVJ0kvH39+fX375hYULF6Kjo6MpX7t2LbVr19YqexFlZmZi\nbGxc3s14LhVw22uekgtcel4TJkwgNTUVX19fvv76a2xtbYmIiGDVqlUlep28TUCTkpLIycnh6tWr\nAPlSQbi4uLBv3z5ef/113NzcaNGmB5PnnWDZruY4dAePAdDrYwhebQ62I1FYdCDjkVW+6+VR8Bj3\nqrm83R5mDoewz+DQ9+Ct0wMOGPPrtFOc/c2ZL4NyIeU7Mm5sl8GXJEkvHYVCQb9+/bh79y7bt2/X\nlKtUKtavX0///v0L/OW/aNEiPD09MTIywtbWluHDh3PnX8u+N2/ezBtvvIGTkxOGhoa4uLjw3YJO\npgAAGk1JREFU4YcfkpOTo1Xv1q1bDB8+HGdnZwwNDbGzs8Pf35/Tp09r6iiVSmbNmpWvHS4uLlpT\nVkJDQ1EqlURERBAUFISdnR2mpqaa99PS0pgwYQJVq1bFwMAANzc3PvvsM1RPZMC+fPkySqWSuXPn\nsmTJEtzc3KhUqRIdO3YkOTkZgNmzZ+Ps7IyxsTHdu3fn7t27+dq2Y8cO2rZti6mpKaampnTp0kUr\nnyRAQEAARkZGXL9+nR49emBqaoqNjQ2TJk3SfN4vX76MjY0NCoWCGTNmoFQqUSqVmvt+8OABH3zw\nAdWqVcPQ0BAbGxt8fX219h0uDfIJWCk5c+YMoP4m8/DwIDU1lRkzZmjKS4JCoSAgIICFCxfSunVr\nDA0Nyc7OpkqVKnTt2lVTTwhBcgqcuOaOW4fN3LCGmESICSv6GkqFitwHZ1BkneLDwK40cjfEwxVq\nOuuiV8B+iC4OxhxAnfurcuXKmoDT3t6+pG5bkiSpQnF0dKRly5asXbtWk29x586d/PXXX/Tv31+z\nO0meUaNG8cMPPxAQEEBgYCDJycksXLiQ2NhYYmNjNVNVfvjhBwwNDRk3bhzm5uYcOHCAL7/8kqtX\nr7J27VrN+Xr37k1CQgKBgYG4uLjw119/sWfPHhITE6ldu3ahbX/aFJDAwEAqV67MJ598wv379wHI\nzs6mbdu2XLlyhdGjR1O1alUOHTrEjBkzuHLlCsuWLdM6x88//8zDhw8JDAwkNTWVOXPm0KdPHzp3\n7kx4eDiTJ0/mwoULfP3110yYMIEff/xRc+zatWsZNGgQnTp14vPPPycnJ4dly5bRunVrYmNjqVmz\npqb9Qgg6d+6Mt7c3CxYsIDw8nC+++ILq1avz7rvvYm1tzdKlSxk1ahS9evWiV69eAJoV/6NGjWLD\nhg2MHTuWOnXqkJqaysGDBzlx4gQtW7Ys9PP3XEQFdO/ePc2rtMTGxorY2NhSO7+Pj48AxDvvvCN2\n794t6tSpIwDx5Zdf/qfzPHr0SKhUqqe+n52dLUaOHCmUSqUARI0aNcThw4fF3fsq8f0fKvHmVJVw\neEMlFC0Kf1l1VonO41Vi7AKVcPddLLD0FxjWFCj0BCDGjBlTrPaeOHFCGBkZCUDzsrS0FElJSf/p\nvku7f6TnI/un4qpofZOVlVXi59y2bZvw9PQUZmZmomHDhiIyMrLEr1EcP/74o1AqleLgwYPiu+++\nEyYmJiIzM1MIIcSgQYNE8+bNhRBC1K1bV/j6+gohhNi3b59QKBRi9erVWufKK1++fLmmrKDP3ezZ\ns4WOjo64evWqEEL9+1KhUIgFCxYU2laFQiFmzpyZr9zFxUUMHTpU654UCoVo3ry5yM3N1aobHBws\nKlWqJBITE/OVK5VKTfmlS5eEQqEQ1tbWIi0tTVNvypQpQqFQiHr16onHjx9ryvv37y8MDAxEdna2\nEEKIBw8eiMqVK4vhw4drXefevXvCxsZGDBgwQFMWEBAglEql+Oyzz7TqNmrUSDRp0kTz8e3bt5/6\nObC0tBSBgYH5youjqK/vwuIZOQRZSmbMmIGOjg4rVqygXbt2nDp1Cjc3NwICAop1fHJyMu3bt8fQ\n0JBKlSoxZsyYfI+dQT3U+N133/HgwQOuXLvNp4vP8tkvjXjtDRjxOWyIgOu3859fVwda1YdPR8LB\n7yHlf/DnFwoWTVBwePNgxvR3xc0hl1o11dnrv/rqq2K129PTk+joaLp27Uq9evXo1asXBw4c0OQC\nkyRJeh55UylOnjxJWloax44do1OnThw9erRc2/Xmm2/y8OFDfv/9d7Kzs9m0aRMDB+bfwiMsLAxT\nU1M6derEnTt3NK+aNWtqpqrkyZtiIoQgLS2NO3fu4OPjg0ql0tyvkZER+vr6REZGas05fl4jRoxA\nqdQOEX755RdatmxJ5cqVtdqel5g7MjJSq36fPn20hi+9vb0BGDRokNa8OG9vbx49eqQZntyxYwf3\n7t2jX79+Wtd59OgRrVq10voc5Rk+fLjWx61atSIpqRiTlgFzc3MOHjyo2Z6vrMghyFLSoUMHdu3a\nxZw5c7h16xb169dn9uzZWFhYFHlsVlYWnTp10gxXZmVlsXjxYh4+fMjy5cs19YQQnL0CEUch8qgB\nf8YYkJFV8DlNjMDbA5rXVb98PJ++D2KlSpX45ptv/vtN/61Ro0Zs3rz5mY+XJEl6moULF5Kbm8uw\nYcMIDg5m/PjxrFu3jsWLF/P999+XW7ssLS3x8/NjzZo16OjokJWVxdtvv52v3rlz50hPTy9wBbpC\noeDWrVuajxMSEpg0aRJ79uwhKytLq17esKC+vj5z5sxh0qRJ2Nra4u3tjb+/P4MGDcLR0fGZ7kWh\nUFCtWrV85YmJiZw8eRJra+si2w7g5OSk9bG5uTlAvnbllecFkOfOnUMIQYcOHQq8zr8XNejp6eX7\nfFpaWhY7IJ03bx4BAQE4OzvTsGFDOnfuzKBBgzTDnKVFBmAlZMeOHaxYsYLMzEzatGnD+++/T5s2\nbWjTps1/PteePXs4c+YMLi4uxMQc5Hj8Fbq8MYQVGy7Rsucj7qTpcuSMOvC6WchWPV7u8HYH6NgE\nPFxBR0dOgpck6cWWN1nb398fOzs7OnXqxLp16wqcxF3W+vfvz+DBg7l//z4dOnTAyir/QiaVSkWV\nKlVYv359gZPzLS0tAfVk97wJ6CEhIbi5uWFkZMS1a9cYMmSI1qT3cePG0aNHDzZt2sTOnTv57LPP\nmD17Nlu2bCky5UJubm6B5QWlzlCpVLRr144pU6YU2PZ/B21PW/35tPK8c6pUKhQKBaGhocWaP/zv\nJ3X/VZ8+fWjdujWbNm1ix44dLFq0iLlz5xIaGkrfvn2f69yFkQHY34QQ7N69m/j4eF577TXeeOMN\nzePfoqxZs0brUfP//vc/Dh48yA+hYfy6Bw6egqxsyHkE2Tnqfx89BjsrcLb9O/O7HdhXgat/wdrI\n16D6Su7YtqBaP2uyH1qjaKhOtDo0uPC21HKGfh3VrxpOMuCSJOnl0qRJE8LDwxk3bhzR0dGayehN\nmjQp55ZB9+7dMTAwYP/+/Zpci//m5uZGeHg43t7ehaZ2iIiI4O7du/z2229aE8HDw8MLrF+1alWC\ngoIICgri+vXr1K9fn+DgYE0AZmlpyb1797SOefToETdu3Cj2/bm5uZGeno6vr2+xj3kWbm5uCCGo\nUqUK7dq1K5FzFpVv0sbGhhEjRjBixAjS0tLw9vbm//7v/2QAVtqEEAwfPpyVK1dqyho2bMiuXbs0\nf40Uduz7778PwMSJE6lTx4OxH61iw9GO/Nn1MZk5z/Ip9kRh40mGAB4WXlNf+YAuPpVo2wjaNYa6\n1WRiU0mSXl5Tp04lMjKSmJgYzdzUdu3aMWHChHJumfqp0dKlS7lw4QI9e/YssM7bb7/N4sWLmTVr\nFp9//rnWeyqVirS0NCwsLNDR0UEIofWkSwjBggULtH7GZ2VloVAotB4Y2NvbY2NjoxVwubm5sXfv\nXq3rfffdd099Ava0ts+YMYM///yTLl26aL2XkZGBvr5+iSQb9/Pzw8LCgtmzZ9O+fft8uTNv375N\nlSpV/tM584Ldfw9LqlQqMjIyMDMz05SZmZnh6urKkSNHnvEOikcGYKiXyq5cuRJjY2P69u1LeHg4\nx44dIzAwkNzcXKKjozE1NWXUqFGMHj2aOXPmsGnTJhQKBV27duX2vVyUlf0wqzOPL3dDdo0AFEBm\n/jnzz0Q8voeu6ja52TcQD2/S1qcODlVyWL9sNDn3jzDvh7NUr169ZC4mSZJUgVWqVImIiAg2bNjA\npUuXqF69Or1790ZXt3x+nf17KG7AgAGF1m/VqhVjxoxh3rx5nDhxAj8/PwwMDDh37hwbN27k008/\nZfDgwfj4+GBlZcXgwYMJDAxET0+PDRs28ODBA63zJSYm0q5dO9588008PDwwMDBgy5Ytmr158wwf\nPpxRo0bRp08fOnbsyIkTJ9ixY0eB87kKGl4EmDRpEps3b6ZHjx4MHjyYxo0bk5WVRVxcHBs3biQu\nLg5nZ+fifuqeek1TU1OWLl3KwIEDadiwIf369cPW1pYrV66wbds26tatq/XApDgMDQ3x8PBg3bp1\n1KhRAysrK1xdXalVqxYODg707t2b+vXrY2ZmptmKLzAw8JnupbhkAAYcOHAAgMmTJzN9+nSio6Np\n1aoVGzZseGLloZJxk+aw+KdjnL2YCQa+UMmT2N+bomg6DQHMWJH/3DWdYICfegue61eTmPF/H5P7\n6AEIAfr2KIxc6PzGSDJzrbn2l3pY0sMV6rmBmV4yd5P3UsVCgYuLCy1btsHFxYWIlRcBSIyE2FgV\nycnJMgCTJOmVYWBgUGSgU1aKO+LwZL1FixbRuHFjli5dyieffIKuri7Ozs707dtXM+RmaWnJ1q1b\nmThxIjNmzMDExIQ+ffowatQoPD09NedycnJi4MCB7Nq1i59//hmFQkHNmjVZuXIlQ4YM0dQbMWIE\nly5dYsWKFWzfvp3WrVuzc+dO2rdvn+8ennZPhoaG7Nmzh5CQEMLCwli9ejWmpqbUqFGD6dOnY2dn\np3WOgs7ztHP/u/ytt97CwcGB2bNn88UXX5CdnY29vT0+Pj68++67z3TOlStXEhQUxAcffEBOTg5D\nhgxh2bJljB07lp07d7J582YePXqEq6srCxYs+GdLvlKiEE8LdctR3uoO+Gd1REk7fPgwAF5eXnzy\nyScEBwfj7+/PD6HrmDlnHYt/3APGHhhX8cLKsRXX7+ihKmbWDpGbgatpLKvm++Lj+c8XQUBAAKGh\noQwYMIAFCxbw0Ucf8eOPP9KvXz+tpHoFSU9Px9rampycHCZOnEilSpWYNWsWCoWCK1euPPNql4rq\nyf6RKh7ZPxVXReub7OzsYs+nlaQXTVFf34XFM/IJGDBkyBC+WrSCrac7Y9tND4VyOIqa6pwiWcDV\nAvJoPUmoHuJifQ+9nOOYkkDvdnpM/uC9fKsO88ae/fz8sLW1pXPnzvz444/FWr1jamrK119/zahR\no7QeK8+aNeulC74kSZIk6WX3SgZgOTk5bN26lZSUFC5evIjRa70wbXmRzHsGhR4nHt2CnCuQc4VG\nHlUw1Uthz5b56D8+w/GbyZib+wF+Tz2+SZMm/PHHH0yaNImjR4+yfv16TXlxvPvuu7i5ufHLL7+Q\nm5tL165d6dGjR7HvW5IkSZKkiqHMA7DFixczf/58bty4gYeHB1999VXp7rX0L+np6XTo0IFDhw6B\nrhWLdzZDYa0E/gm+qtmr52DduhTB/l3LITMesi9gYWbAO++8w4IFCzh69p9zLvruu2INlX7wwQeE\nh4ezZ88ezeodHx8fPv7442K3v0OHDgUmp5MkSZIk6cVRpgHY+vXref/991m6dCk+Pj58++23dOnS\nhdOnT5fZMNqsWbM4dOgQVg5NeeC6gxzVP0tPq1jAV+PUObTU87basX37I/bt24eJiQl9+/bF2dmZ\nzp07azK99+rVq9jJVg0NDdm5cycbN27kwoULuLq60qdPH/T19bl+/Trx8fFYW1vToEEDmUpCkiRJ\nkl5iZToJv1mzZjRo0IClS5dqymrWrMmbb75JcPA/GUZLcxJ+27Zt2bNnD3PnzWfdyREcu6Dep8rZ\nOJrDv7SkikXZBz5Lly4lMDCQx48fA9CpUyc2btyIiYlJmbeloqhoE4klbbJ/Kq6K1jdyEr70Mnue\nSfhlthn3o0ePOHLkCB07dtQq79SpE/v37y+rZmgSqx6I2c97nU9gonMdccof/xo/l0vwdeDAAd57\n7z0eP35Ms2bNMDMzY8eOHUyaNKnM2yJJkiRJUtkoswDs9u3b5Obm5tsw09bWlps3b5ZVMxg3bhxK\npZJff/2V4QNakx7lhGF2JKNGjSqzNjxp+/btCCF45513iImJ4c8//wTQ/CtJkiRJ0sunwq+CzHuc\nXlJMTExYsGAB33zzDTdv3sTJyYmJEyfy8OHDEr9WcaSkpACQlJREbGwsBw8eBODx48fl0p6KRn4O\nKjbZPxVXRekbBwcH7Ozs5LxW6aUjhCA1NZVr1649tU6NGjWe+l6ZBWBVqlRBR0d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7/vvvSU5Oxtvbm9jYWKpUqcLSpUspUqRIToemkZSUxBdffMGhQ2kLZ61Zs4Z9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7dg0HDx7M8No/CvxEiY6OFiOnCAoKYlBQUI7NL3l3pG2MF2kb48TY7TJ37lwCYM2aNfni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\nDhY760xMTNinTx++fPmS//77LxcvXiwavaceX3z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cJ3aNLKzr7u4ue1ytVoulS5dyXpu5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\nly9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UKU9jyQtSsOUT8uVjvUjbWCfSLi+ezZs3s2bNmgwICGDTpk15/PhxkgVjm7S0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\nWS8uLkZ8fLxKXTm/xYsXK8NaSEiIzbagoCAYjUabTG7duoXy8nIlk+joa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uLVvMyVIqlcYeLz7RRkT2igGMyEb6Gk5q65vw3b5sbN1/AQ03LZgaFToYKckJ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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2099,7 +2109,7 @@ "\n", "```python\n", "for i in range(100):\n", - " Z = math.sin(i/3.) * 2\n", + " z = math.sin(i/3.) * 2\n", "```\n", " \n", "Adjust the variance and initial positions to see the effect. What is, for example, the result of a very bad initial guess?" @@ -2135,7 +2145,7 @@ "data": { "image/png": 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HB275FLrdl8jf2HTOAwB1rVx++gnWE5wwetMNhOT1oKxM3H/1mRZ/bmZuSOsu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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2185,9 +2195,22 @@ "source": [ "## Fixed Gain Filters\n", "\n", - "Embedded computers usually have extremely limited processors. Many do not have floating point circuitry. These simple equations can impose a heavy burden on the chip. This is less true as technology advances, but do not underestimate the value of spending 10 cents less on a processor when millions will be used.\n", + "Embedded computers usually have extremely limited processors. Many do not have floating point circuitry. These simple equations can impose a heavy burden on the chip. This is less true as technology advances, but do not underestimate the value of spending one dollar less on a processor when you will be buying millions of them.\n", "\n", - "In the example above the variance of the filter converged to a fixed value. This will always happen if the variance of the measurement and process is a constant. You can take advantage of this fact by running simulations to determine what the variance converges to. Then you can hard code this value into your filter. So long as you initialize the filter to a good starting guess (I recommend using the first measurement as your initial value) the filter will perform very well. " + "In the example above the variance of the filter converged to a fixed value. This will always happen if the variance of the measurement and process is a constant. You can take advantage of this fact by running simulations to determine what the variance converges to. Then you can hard code this value into your filter. So long as you initialize the filter to a good starting guess (I recommend using the first measurement as your initial value) the filter will perform very well. For example, the dog tracking filter can be reduced to this:\n", + "\n", + "```python\n", + "def update(x, z):\n", + " K = .13232 # experimentally derived Kalman gain\n", + " y = z - x # residual\n", + " x = x + K*y # posterior\n", + " return x\n", + " \n", + "def predict(x):\n", + " return x + vel*dt\n", + "```\n", + "\n", + "I used the Kalman gain form of the update function to emphasize that we do not need to consider the variances at all. If the variances converge to a single value so does the Kalman gain. " ] }, { @@ -2196,19 +2219,19 @@ "source": [ "## FilterPy's Implementation\n", "\n", - "FilterPy implements `predict` and `update`. They work not only for the univariate case, but the more general multivariate case that we learn in subsequent chapters. Because of this their interface is slightly different. They do not take Gaussians as tuples, but as two separately named variables.\n", + "FilterPy implements `predict()` and `update()`. They work not only for the univariate case developed in this chapter, but the more general multivariate case that we learn in subsequent chapters. Because of this their interface is slightly different. They do not take Gaussians as tuples, but as two separately named variables.\n", "\n", - "Predict takes several arguments, but we will only need to use these four:\n", + "`predict()` takes several arguments, but we will only need to use these four:\n", "\n", "```python\n", "predict(x, P, u, Q)\n", "```\n", "\n", - "`x` is the state of the system. `P` is the variance of the system. `u` is the movement due to the process, and `Q` is the noise in the process. You will need to used named arguments when you call `predict` because most of the arguments to `predict` are optional. The third argument to `predict` is **not** `u`.\n", + "`x` is the state of the system. `P` is the variance of the system. `u` is the movement due to the process, and `Q` is the noise in the process. You will need to used named arguments when you call `predict()` because most of the arguments are optional. The third argument to `predict()` is **not** `u`.\n", "\n", - "These may strike you as terrible names. They are, but as I already mentioned they come from a long history of control theory, and every paper or book you read will use these names. So, we just have to get used to it. Refusing to memorize these means you will never be able to read the literature.\n", + "These may strike you as terrible names. They are! As I already mentioned they come from a long history of control theory, and every paper or book you read will use these names. So, we just have to get used to it. Refusing to memorize them means you will never be able to read the literature.\n", "\n", - "Let's try it for the state $\\mathcal N(10, 3)$ and the movement $\\mathcal N(1, 4)$. We'd expect a final position of 11 with a variance of 7." + "Let's try it for the state $\\mathcal N(10, 3)$ and the movement $\\mathcal N(1, 4)$. We'd expect a final position of 11 (10+1) with a variance of 7 (3+4)." ] }, { @@ -2257,7 +2280,7 @@ { "data": { "text/plain": [ - "(11.350, 4.550)" + "(11.364, 4.455)" ] }, "execution_count": 32, @@ -2266,8 +2289,8 @@ } ], "source": [ - "x, P = kf.predict(x=10, P=3., u=1, Q=4)\n", - "x, P = kf.update(x=x, P=P, z=12, R=13)\n", + "x, P = kf.predict(x=10, P=3., u=1, Q=2**2)\n", + "x, P = kf.update(x=x, P=P, z=12, R=3.5**2)\n", "x, P" ] }, @@ -2296,7 +2319,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python [default]", + "display_name": "Python 3", "language": "python", "name": "python3" }, @@ -2310,7 +2333,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.5.1" + "version": "3.5.2" } }, "nbformat": 4, diff --git a/05-Multivariate-Gaussians.ipynb b/05-Multivariate-Gaussians.ipynb index fd5177c..5610ce2 100644 --- a/05-Multivariate-Gaussians.ipynb +++ b/05-Multivariate-Gaussians.ipynb @@ -1,7 +1,7 @@ { "cells": [ { - "cell_type": "raw", + "cell_type": "markdown", "metadata": {}, "source": [ "[Table of Contents](http://nbviewer.ipython.org/github/rlabbe/Kalman-and-Bayesian-Filters-in-Python/blob/master/table_of_contents.ipynb)" @@ -326,7 +326,7 @@ "\n", "We've been using Gaussians for a scalar random variable, expressed as $\\mathcal{N}(\\mu, \\sigma^2)$. A more formal term for this is *univariate normal*, where univariate means 'one variable'. The probability distribution of the Gaussian is known as the *univariate normal distribution*.\n", "\n", - "What might a *multivariate normal distribution* be? *Multivariate* means multiple variables. Our goal is to be able to represent a normal distribution with multiple dimensions. I don't necessarily mean spatial dimensions - it could be position, velocity, and acceleration. Consider a two dimensional case. It might be the *x* and *y* coordinates of a robot, it might be the position and velocity of a dog on the x-axis, or milk production and feed rate at a dairy. It doesn't really matter. We can see that for $N$ dimensions, we need $N$ means, which we will arrange in a column matrix (vector) like so:\n", + "What might a *multivariate normal distribution* be? *Multivariate* means multiple variables. Our goal is to be able to represent a normal distribution with multiple dimensions. I don't necessarily mean spatial dimensions - if we track the position, velocity, and acceleration of an aircraft in (x, y, z) that gives us a nine dimensional problem. Consider a two dimensional case. It might be the *x* and *y* coordinates of a robot, it might be the position and velocity of a dog on the x-axis, or milk production and feed rate at a dairy. It doesn't really matter. We can see that for $N$ dimensions, we need $N$ means, which we will arrange in a column matrix (vector) like so:\n", "\n", "$$\n", "\\mu = \\begin{bmatrix}\\mu_1\\\\\\mu_2\\\\ \\vdots \\\\\\mu_n\\end{bmatrix}\n", @@ -357,7 +357,7 @@ "\n", "*Covariance* describes how much two variables vary together. Covariance is short for *correlated variances*. In other words, *variance* is a measure for how a population vary amongst themselves, and *covariance* is a measure for how much two variables change in relation to each other. For example, as height increases weight also generally increases. These variables are *correlated*. They are *positively correlated* because as one variable gets larger so does the other. As the outdoor temperature decreases home heating bills increase. These are *inversely correlated* or *negatively correlated* because as one variable gets larger the other variable lowers. The price of tea and the number of tail wags my dog makes have no relation to each other, and we say they are *uncorrelated* or *independent*- each can change independent of the other.\n", "\n", - "Correlation allows prediction. If you are significantly taller than me I can predict that you also weigh more than me. As winter comes I predict that I will be spending more to heat my house. If my dog wags his tail more I don't conclude that tea prices will be increasing.\n", + "Correlation allows prediction. If you are significantly taller than me I can predict that you also weigh more than me. As winter comes I predict that I will be spending more to heat my house. If my dog wags his tail more I don't conclude that tea prices will be changing.\n", "\n", "For example, here is a plot of height and weight of students on the school's track team. If a student is 68 inches tall I can predict they weigh roughly 160 pounds. Since the correlation is not perfect neither is my prediction. " ] @@ -373,7 +373,7 @@ "data": { "image/png": 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8vLxQUlJiipKJiMgGlZSUiGfyPmrap1Ao0LVrV6O8p1qtxbVrvrh0SYa7d6sQEuIAqdTs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\nqv9G1tTLk7LV3m21b4C92yJb7Ruwzd7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RPOr7/fff48iRI17Nv2fPHjx48ABfffWVy359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\nKMSwACQiIiIKMSwAiYiIiELM/wB177JCHDYV5gAAAABJRU5ErkJggg==\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -401,9 +401,9 @@ "\n", "Where $\\mathbb E[X]$ is the *expected value* of X, defined as\n", "\n", - "$$\\mathbb E[X] = \\begin{cases} \\sum_{i=1}^n p_ix_i & \\mbox{discrete}\\\\ \\int_{-\\infty}^\\infty x\\, f(x) & \\mbox{continuous}\\end{cases}$$\n", + "$$\\mathbb E[X] = \\begin{cases} \\sum_{i=1}^n p_ix_i & \\mbox{discrete}\\\\ \\int_{-\\infty}^\\infty f(x)\\, x & \\mbox{continuous}\\end{cases}$$\n", "\n", - "We assume each data point is equally likely, so the probability of each is $\\frac{1}{N}$, yielding:\n", + "We assume each data point is equally likely, so the probability of each is $\\frac{1}{N}$, giving\n", "\n", "$$\\mathbb E[X] = \\frac{1}{N}\\sum_{i=1}^n x_i$$\n", "\n", @@ -411,7 +411,10 @@ "\n", "Compare the covariance equation to the equation for the variance. As you can see they are very similar:\n", "\n", - "$$VAR(X) = \\sigma_x^2 = \\mathbb E[(X - \\mu)^2]$$" + "$$\\begin{aligned}VAR(X) = \\sigma_x^2 &= \\mathbb E[(X - \\mu)^2]\\\\\n", + "COV(X, Y) = \\sigma_{xy} &= \\mathbb E\\big[(X-\\mu_x)(Y-\\mu_y)\\big]\\end{aligned}$$\n", + "\n", + "In particular, if you compute $COV(X, X)$ you get the equation for $VAR(X)$, which supports my statement that the variance computes how a random variable varies amongst itself." ] }, { @@ -428,7 +431,7 @@ " \\end{bmatrix}\n", "$$\n", "\n", - "The diagonal contains the variance for each variable, and that all off-diagonal elements contain the covariance between the $i^{th}$ and $j^{th}$ variables. So $\\sigma_3^2$ is the variance of the third variable, and $\\sigma_{13}$ is the covariance between the first and third variables.\n", + "The diagonal contains the variance for each variable, and the off-diagonal elements contain the covariance between the $i^{th}$ and $j^{th}$ variables. So $\\sigma_3^2$ is the variance of the third variable, and $\\sigma_{13}$ is the covariance between the first and third variables.\n", "\n", "A covariance of 0 indicates no correlation. If the variance for $x$ is 10, the variance for $y$ is 4, and there is no linear correlation between $x$ and $y$, then we would write\n", "\n", @@ -525,7 +528,7 @@ "\n", "This is a bit beyond the scope of this book. Briefly, suppose the actual class size is 200 students, and we took a sample of 5 students to perform this computation because we couldn't afford to measure and weigh all 200 students. It is nearly certain that there will be some error in our estimator because the sample is unlikely to perfectly represent the class. As our sample size approaches 200 the error will approach 0. We say there is no *bias* in the latter, and that we have an *unbiased estimator*. In contrast, when we take a small sample there is bias (error is nonzero), and we have a *biased estimator*.\n", "\n", - "If the error is zero it makes sense to divide by $N$. I will not prove why, but for biased estimators we use $\\frac{1}{N-1}$ to correct for the small sample size. NumPy does this by default because in practice we are almost always working from data samples. If you want the unbiased estimator, which we computed above, use `bias=1` in the call to `np.cov'." + "If the error is zero it makes sense to divide by $N$. I will not prove why, but for biased estimators we use $\\frac{1}{N-1}$ to correct for the small sample size. NumPy does this by default because in practice we are almost always working from data samples from a larger collection. If you want the unbiased estimator, which we computed above, use `bias=1` in the call to `np.cov'." ] }, { @@ -604,7 +607,7 @@ "data": { "image/png": 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CNbZtO4Off16NW7cuP+OI5gACAHyMbdseoW9fMyiVEtjZqbBkyQPcvq1mgCAi0oEyCQ1Z\nWVnIzMws8RgbGxsYGxsDeBwYOnfuDKlUiv379xf7aqJwaOC+Bi8uOjoaAODm5qbnlmhHEAQcP34c\nixYtKmZgrDW6dRuOPXv8AVhgwYKHCAw0LmbLbwHu7nKcPat8qbERFe3ZlTd8fq+Gz+/l8dm9mlf9\nvavVmAYLCwuNrZRLkpOTg86dO0MikZQYGKjqkUgkaNeuHdq1a4e///4bS5cuxYYNG5CX92TcQyr2\n7JkF4GsAA5CQMBJK5VsAnt5s63GI2LkzV9zBk2MjiIhKn05/qubk5KB9+/a4e/cuQkNDcf/+faSn\npyM9PZ1LDZOGhg0bYtWqVUhOTsacOXNQu3btQqW5AFZi9eomkEg+AHAcMpm6yGZb8fFFtwAfNMgY\nPj7GiIx8VOb3RERU2ek0NMTExODs2bO4cuUK6tWrB2tra9SpUwfW1taIiorS5aWokqhZsyZmzJiB\nmzdvYv369WjSpIlGuSCEAWgHO7umSE7+CTLZ4zAglwtwcBCesW/G4/+mpgInTjzE+vV5OHHiIReY\nIiLSAZ1OuWzVqhVUKpUuq6QqwsjICAMGDED//v0RHh6O4OBghIWFieXXr1/E/PnDYWERiFatRmLg\nwCHw8akjrhVRs+bjFSufvLowM1PDx8e02PEQZmYyDqokInpBfOlL5YpEIkHbtm2xd+9exMbGYtSo\nUTAxMRHLs7LSsWvXbPTpUw8TJoyFpWXiM/fNyMiQavQ8pKUJ8PExxqBBxhgwwBDJyQ6IjnZiLwQR\n0QtgaKByq169elixYgVSUlIwf/58WFtbi2V5eXlYvXo1GjZsiC5duiAi4jjee89Y3DfD0REaO3YW\nHg8xcmQ+eveuhlGjXoePjzHOnMnjqwwiIi0wNFC5Z2FhgWnTpiEhIQEbN25E8+bNNcr379+P9u3b\no0mTJggNDcWjR4/g6WlUzI6dRcc/PN0LcfAgAwQR0bOU+jLSRLpiaGiIvn37ws/PDydOnEBwcDD2\n7NmDJ0uNXLx4EYMHD8a0adMwZswYjBo1Ct7ej3fhLLxXxtPjH57uhXgyjfNZYyE4lZOIqjL+9KMK\nRyKRoFWrVti9ezeuXbuGsWPHaqwH8s8//2DmzJlQKBQYOnQoLl++rLHtd6dOJti9OxMrV959oV4I\nTuUkoqqOoYEqNCcnJ4SEhCAlJQULFy5E3bp1xbJHjx7hhx9+QKNGjdCpUyccOnQIgiBAJpPC0jIR\nbm7X4e1tAi8vY/FVhoeHutixEJzKSURVHV9PUKVQo0YNTJkyBQEBAdixYwcWL14sLjcLAIcOHcKh\nQ4fg6uqKgIAANGjQAEZGRgA0d+zU3PJbgCCg2KmcXIWSiKoahgaqVORyOXx9ffHJJ5/g9OnTCA4O\nxq5du8RxD5cvX8bQoUNRo0YN9OrVCwqFAlZWVuL5z9ryu3CIuHFDWuz4h6NH8+DtbVKkTURElQX/\nWUSVkkQiQcuWLfHLL78gLi4O48aNg5mZmVh+584drF27Fra2thgyZAguXbr0zHoKj4V4eionV6Ek\noqqGoYEqPUdHRyxduhTJycn45ptvoFAoxLJHjx5h3bp1aNy4MTp06ICDBw+ipI1fC0/lfHr8w+NX\nF/8NmuT6D0RU2TA0UJXx+uuv47PPPsONGzcQFBQEV1dXjfIjR46gc+fOcHV1xdq1a/Hw4cMidTw9\nC0PbVSg584KIKgOGBqpy5HI5OnTogNDQUJw+fRofffQRpNL//ir8/fffGD58OGxsbBAYGIi0tLRn\n1lPSq4unZ17Uri0gI0PNXgciqtAYGqjKkkgk8PT0xI4dO3D9+nVMmDAB1apVE8szMzMxd+5c2Nra\nYuDAgbhw4UKJ9ZW0CuXYsY/g62vKVxdEVKExNBABsLe3R3BwMJKTk/Htt9/C1tZWLMvPz8eGDRvQ\ntGlTtGvXDvv27YNaXfSX/NM9D4XXf6hWTeCrCyKq8BgaiAoxNzfHxIkTcf36dfz888/w8PDQKD9+\n/Di6du0KFxcXrFq1Crm5ucXWVThEuLpK+OqCiCo8hgaiZ5DJZOjVqxciIyMRFRWFjz/+WGPcw5Nt\nuxUKBaZPn47U1NQS63uRVxfsdSCi8oqhgeg5WrRogW3btiE+Ph6TJk1C9erVxbKsrCzMmzcPdnZ2\n6N+/P/78889n1vEiry643gMRlVcMDURasrW1xaJFi5CSkoIlS5bA3t5eLFMqleK23W3atMGePXue\nOe7hiZJeXTy93gN7HoiovGBoIHpB1apVw/jx4xEXF4dffvkFLVu21CiPiIhA9+7d0aBBAyxfvhwP\nHjwosb6nX108vd4Dex6IqLxgaCB6SQYGBujZsydOnjyJs2fPwtfXFwYGBmJ5XFwcxo4dC4VCgWnT\npiElJeWZ9TxvvQf2PBBRecHQQKQD77zzDjZv3oyEhARMmTIF5ubmYtmdO3ewcOFC2Nvbw8/PDzEx\nMSXWVVLPA2daEJE+MTQQ6ZBCocDChQuRkpKCZcuWwdHRUSwrKCjA5s2b4ebmhlatWmH37t1QqVRF\n6iip54EzLYhInxgaiEqBmZkZ/P39ERsbi127dsH7yV7b/3fixAn06NED9evXR0hICHJycoqtq3DP\nA2daEJE+MTQQlSIDAwN8+OGH+O233/DHH3/g008/hUwmE8tv3LiBcePGQaFQYMqUKUhOTi5SB2da\nEFF5wdBAVEbc3Nzw008/ISEhAVOnTsXrr78ult29exfffPMN7O3t4evriz/++OOZdXCmBRHpE0MD\nURmrW7cuFixYgOTkZHz33XdwcnISy1QqFbZu3Qp3d3e0bNkSO3fu1Bj3wJkWRKRPDA1EemJmZoYx\nY8YgNjYWv/76K1q3bq1R/mTbbmdnZyxduhT3798vUgdnWhBRWWJoINIzqVSKbt26ITw8HOfOnUO/\nfv0gl8vF8oSEBEyYMAF169bFZ599hsTERLGMMy2IqCwxNBCVI82aNcOPP/6Imzdv4osvvoCFhYVY\ndu/ePXz77bdwdHREnz598Pvvvxc5nzMtiKg06Tw0DB8+HE5OTjA1NYWlpSU+/PBDXL16VdeXIarU\nrK2tERQUhOTkZKxcuRL169cXy1QqFbZv3w4PDw94enri559/RkFBAQDOtCCi0qXz0PDOO+9gw4YN\nuHr1Kg4fPgxBENC+fftnLmJDRCUzNTXFyJEjceXKFYSFhaFdu3Ya5U+27XZycsLixYuRnZ0tlnG8\nAxHpms5Dw7Bhw+Dl5QUbGxs0bdoUc+fOxa1btxAfH6/rSxFVGVKpFF26dMHRo0dx/vx5DBw4EIaG\nhmJ5YmIiJk2aBIVCgYCAACQkJHC8AxHpXKmOaXjw4AHWrVsHOzs72NnZlealiKqMJk2aIDQ0FImJ\niQgMDMQbb7whlt2/fx9LliyBk5MTevXqhcjISAjC46DA8Q5E9KokwpOfKDq0cuVKTJkyBQ8ePECD\nBg0QFhYGBweHIscV7kqNi4vTdTOIqoS8vDwcOHAAW7ZsQUJCQpFyV1dXfPrpp2jbtq24GmVGhi26\nd68JpfLxuIcdO+6jV69q4ve7d2fC0jKxSF1EVLE5OzuLXxfeWE9bWoWGwMBABAUFFV+JRILw8HBx\nff379+/jn3/+we3bt7Fo0SIkJSUhMjISxsbGGucxNBDpjlqtRlRUFLZs2YIzZ84UKbeyskKfPn3w\n4Ycfwty8BtLS3kRSkhy2tkokJRli5Mj/foCsX38XlpZKJCY+LreyugW1uqAsb4eISkGZhIasrCxk\nZmaWeIyNjU2RUAAASqUSNWrUwOrVq+Hn56dRVjg0vEzjq7ro6GgAj5cnphdT2Z/dxYsXsWTJEvz0\n00949EhzvIKZmRmGDBmCcePGiT2AJ048hI+PsdjTsHNnLnr2NBW/P3o0D97eJmIdlf35lTY+v5fH\nZ/dqXvX3rlZjGiwsLFCvXr0S/zwrMACP//UjCEKRH1xEVHoaN26MH374AUlJSZg1axZq1aolluXk\n5GDp0qVwdnZGz549cerUKXh4GJa4p0V8vERft0JE5YhOB0LeuHEDX3/9Nc6dO4fk5GRERkaid+/e\nMDY2RteuXXV5KSLSgqWlJWbOnImkpCR8//33cHFxEcvUajV27dqF9957D56eLXDr1m74+RkUmWlh\nZ6dCzZoqDpIkIt2GBiMjI0REROD999+Hs7MzfH19YW5ujqioKFhaWuryUkT0AoyNjTFkyBBcunQJ\nhw4dQseOHTXKo6Oj8emnn8LBwQFff/01GjbMFXseQkLy0LMnp2cSkY5DQ926dbF//36kpaUhLy8P\niYmJ2LhxI+rVq6fLyxDRS5JIJOjQoQMOHjyIS5cuYejQoTAyMhLLU1JSMHXqVNjb22L79slo2TIF\nmZkGRaZnZmTYIjraiT0PRFUM954gqqJcXV2xdu1aJCUlYfbs2Rq9gQ8ePMDy5ctRr149/PBDbxgY\nRAAQxOWou3eviVGjXmfPA1EVw9BAVMVZWlriyy+/RGJiItatW4fGjRuLZYIg4NSpMKhUbWBr+zam\nTAnF7dsFXI6aqIpiaCAiAI/HPQwaNAgXLlzAkSNH0LlzZ43yxMQ/ERQ0BF980RBS6TwAWVyOmqiK\nYWggIg0SiQQ+Pj7Yv38/rly5ghEjRmhMqc7MvA21ejoMDRUICxsPpfLxwmycmklU+TE0EFGxGjZs\niFWrViE5ORlz585F7dq1xbL8/FycPLkWQH0AH8DA4DicnFTcw4KoEmNoIKLnqlmzJqZPn46bN29i\nw4YNGkvRPhYGlaodBg70QNu22zFokJSvK4gqIZm+G0BEFYeRkRH69++Phg0bIiYmBvv27UNYWJhY\nfuPGRQADAUyDUjkGV68OAFAT8fESODgI8PQ0gkzGf6sQVVT820tEL0wikcDNzQ179+5FbGwsRo8e\nDRMTk0JHpAEIhL9/PbRpMx6DBiWw54GoEmBoIKJXUq9ePSxfvhwpKSkICpqHmjXriGX5+XlQq9cC\ncIGBQRccO3YMoaEPOd6BqIJiaCAinbCwsMAXX3yOW7duYuPGjWjWrJlGeV7eAXz11QcYPLgF2rbd\ngoiIe3pqKRG9LIYGItIpQ0ND9O3bFzExMTh27Di8vLpAIik8FfMvqFRD8NFHDfDVV18hIyNDb20l\nohfD0EBEpUIikaBt2zY4dSoMsbGx6NFjBABTsfzevXTMnDkTb75pgw8+GIy//rqkv8YSkVYYGoio\n1Dk7O2P79hUIC4tD795zUauWtVimVOYhLCwUTZo0RufOnXH48GEIgqDH1hJRcRgaiKhMyGRSdOli\nje3bp+PWrZsYPjwUgJvGMQcPHkTHjh3h6NgIa9asRV5enn4aS0TPxNBARGVOLpfDz68PZLIzAE5C\nIumhMe4hIeEKRowYDhsbG8yaNQvp6en6aywRiRgaiEgvPD2NcOzYI4SGuiEi4ifMn38RwDgAZuIx\nGRkZmD17NmxsbDBkyBBcusRxD0T6xNBARHohk0nh7W2CgQON4e1tAg8PB8jlSwAk4/335wFQiMfm\n5+eL23Z36NABBw4cgFrNdR6IyhpDAxGVC56eRjh6NA+hocbo2nU8gBsAtgJw1zjuyJEjeP/999Go\nUSOsWbMGDx8+1EdziaokhgYiKhcK9zy4ukogl8sA9IFMFoWvvz4KieQjFP6R9ffff2PEiBGwsbFB\nYGAg0tLS9NZ2oqqCoYGIyp3/eh3ycOzYI9Ss6QlB2AHgOoAJMDauJh6bmZmJuXPnwtbWFgMHDsSF\nCxf01m6iyo6hgYjKnafHOzg6AnK5AMAednaLsH79VXzyyULUrm0jnpOfn48NGzagadOmaNeuHfbt\n28dxD0Q6xtBAROVe4Z6HkJA89OtXB1u3TkFm5nXMnv0TPDw8NI4/fvw4unbtChcXF6xatQq5ubl6\najlR5cLQQETlXuGeh8xMAyiVj9d0KCiQo169Hliw4BhmzIhAmzYfwcDAQDwvNjYWo0aNgkKhwPTp\n05GamqqvWyCqFBgaiKhCcXAQ/v+q4vErCzMzNXx8jDF3biucOvUzNm++jEmTJqF69eriOVlZWZg3\nbx7s7OzQv39//Pnnn/pqPlGFxtBARBVK4VcVR4/mISNDKvY8KJUSqNU26NZtDhYsuA5//29gZ2cn\nnqtUKrEW8UDCAAAX+0lEQVRx40Y0b94cbdq0wd69eznugegFyPTdACKiF/HkVYW395NPHkIuF6BU\nSgr1PJhCqTSBXD4Jhw6NRFbWIQQHB+P06dNiPREREYiIiICzszMmTJiAAQMG4LXXXtPLPRFVFOxp\nIKIKraSeh9q1BWRlSXD/fhfMm3cEp09HoU+fPhrjHuLi4jBmzBgoFAp8/vnnuHXrlr5uhajcY2gg\nogqt+OmZwNixj+Dra4pBg4zh42OMgoIm2Lp1K+Lj4zF58mSYm5uL9dy5cwcLFiyAnZ0d+vbti5iY\nGH3dElG5xdBARJVK4Z6HatUEjfEOqanAiRMPcfy4Jbp2nY2EhEQsW7YMjo6O4vkFBQX46aef4Obm\nhlatWmH37t1QqVT6uh2icqVUQ0Pnzp0hlUqxc+fO0rwMEZGo6HLURWdaPOl5uHjREP7+/oiNjcWu\nXbvw3nvvadR14sQJ9OjRA/Xr10dISAhycnL0cUtE5UaphYZFixZBJpNBIpGU1iWIiEr0vJkWT3oe\nNm5UwsKiI44fj0B0dDT8/Pwgk/03TvzGjRsYN24cFAoFpkyZguTkZH3dEpFelUpo+OOPPxASEoLQ\n0FAIglAalyAieq6Sxjs8q+chMvIR3n77bWzatAkJCQmYOnUqatSoIdZ39+5dfPPNN7C3t4evry/+\n+OMPfd0akV7oPDTcv38ffn5+WLt2LWrWrKnr6omIXtrzZlpkZKixfn0eTpx4iNq1rbFgwQIkJydj\n+fLlcHJyEutRqVTYunUr3N3d0bJlS+zcuZPjHqhKkAg67gro27cvatasiSVLlgAApFIpduzYgZ49\nexY5Njs7W/w6Li5Ol80gInqujAxbdO9eE0qlBAsXPsSMGcbieg+7d2fC0jJRPFatVuPUqVPYvHnz\nM2dWWFtbo0+fPujWrRvMzMzK8jaItObs7Cx+XXj2kLa0WtwpMDAQQUFBxZZLJBKEh4cjMTERFy5c\n4FQlIqoQrKxuYfduIClJDpVKpjHeISNDDonEFomJctjaKmFldQve3t7w9vZGbGwsNm/ejMOHD6Og\noAAAkJqaiuDgYKxZswYffvgh+vTpgzp16ujz9oh0TquehqysLGRmZpZ4jEKhwOjRo7Fx40aNwY8q\nlQpSqRSenp44ceKExjmFexpeJvFUddHR0QAANzc3Pbek4uGzezWV8fmdOPEQPj7/9TTs3JmLnj1N\nxe+PHs2Dt7eJxjmpqalYvnw5Vq1ahaysLI0yAwMDfPTRRwgICECLFi00yirj8ysrfHav5lV/7+r0\n9cTt27dx584djc8aNWqEJUuWoFu3bhprwAMMDa+Kf3leHp/dq6mMz6+gQI3IyEeIj5fAwUHAjRvA\n4MGPQ4JCoUZw8EPcv28ABwcBnp5GkMn+GxKWm5uLH3/8EUuWLEFsbGyRuj08PDBx4kR8+OGHkMlk\nlfL5lRU+u1fzqr93dbr3RJ06dZ7ZHVe3bt0igYGIqDwpaU+LJytLFtfrYGpqipEjR2L48OE4cOAA\nFi9ejOPHj4vlUVFR6N27N2xtbTF+/Hg0a9aM4x6oQir1FSG5TgMRVUTarCz5ZKZFQcHjnTKlUim6\ndOmCY8eO4fz58xg4cCDkcrlYZ2JiIiZOnIiuXbsiODgYN2/e1MetEb20Ug8NKpXqmTMniIjKsxdZ\nWTIy8lGR85s0aYLQ0FAkJiZixowZeOONN8SyBw8eYPPmzXB0dETv3r0RGRlZZvdF9Cq49wQR0XNo\nu7Lk0z0PwOPXtnPmzEFycjJWr16NBg0aiGVqtRo7duyAl5cXWrRogW3btomzMYjKI4YGIqLneJGV\nJQcMMMTBg0UDhImJCYYPH47Lly9jyZIlePfddzWucebMGXzyySdwcHDAokWLcPfu3TK/T6LnYWgg\nInpBJfU8jByZj549TYt9dSGVSuHl5YXvvvsOf/31FwYNGgRDQ0OxPDk5GZMnT4ZCocD48eMRHx9f\npvdGVBKGBiKiF1RSz8O9e9D61UXjxo2xbt06JCUlYebMmahVq5ZYlpOTg2XLlsHJyQk9e/bEyZMn\nuZcP6R1DAxHRKyrc8+DhoS5x0OSZM3nIyLBFdLSTGCKsrKwwa9YsJCUlYe3atXBxcRHrFgQBu3bt\ngre3N9zd3bF582YolUp93SpVcQwNRESvqHDPQ6dOJiUOmkxLE9C9e02MGvV6kdcXxsbGGDp0KC5d\nuoRDhw6hY8eOGtd5sm23g4MDFi5cWGQxPaLSxtBARKRDzxs0+c8/kmJ31nzy6kIikaBDhw44ePAg\nLl26hKFDh8LIyEi8RkpKCqZNm4a6deti7Nix3PCPygxDAxFRKXp60KSLy38h4slKk4VfXTw9/sHV\n1RVr165FcnIyZs+eDUtLS7Hu3NxcLF++HPXr10f37t3x22+/cdwDlSqGBiKiUvR0z4OXlzF2787E\nypV3i6w0mZYmFLtoVK1atfDll18iKSkJoaGhaNy4sVgmCAL27NmD1q1bw83NDZs2bUJ+fn6Z3ytV\nfgwNRERlSCaTwtIyEW5u14usNKnNqwsjIyMMHDgQFy5cwJEjR/D+++9r1H/u3Dn069cP9vb2mD9/\nfpHdN4leBUMDEZGevMqrC5VKgI+PD/bt24e///4bI0aMgLGxsVh3amoqvvjiCygUCowZMwbXrl3T\n121SJcLQQESkJ896dVHcJllPv7ooHCL++ccW3323AsnJyZg7dy5q164tXiM3NxcrVqxAgwYN8MEH\nHyA8PJzjHuilMTQQEZUTJW2SVfjVxdMh4snS1WFhZnjvvYm4fj0e69evR5MmTcS6BUFAWFgY2rZt\ni+bNm+PHH3/kuAd6YQwNRETlUEmvLp4OEU8vXX3+vAB7+48xfnwUgoP3Fxn3cP78eQwYMAB2dnYI\nCgpCZmZmmd8fVUwyfTeAiIiKetLr4O39+PuCAjWOHs1DfLwEDg4CBOFxeFAqJUWWrk5LE+DrawKl\nUgK5vBOOHm2NxYuTsHTpUqxfvx4PHz4EANy+fRszZszA3LlzMWDAAEyYMEFjF06ip7GngYioAihp\n/MPTS1c//SojNRVIT7eBu/tibNt2DXPnBsHa2lqsOy8vD6tXr0bDhg3RpUsXHD16lOMe6JnY00BE\nVAEV7okoqRfiv/0vTKFUSmBnVwchIeMxe/ZY3Ly5A/v2fYfz5/8U692/fz/279+Pt956CwEBAfD1\n9dVYjZKqNoYGIqIK7nmvMm7cKLp19+NAMQjHj/fBuXOnsX59CM6f3yf2MDzZtnvatGkYM2YMRo4c\nqbELJ1VNfD1BRFTJvMjW3enpwGeftceff+6FtfUVdOkyHIaGpmJd6enp+PLLL1G3rg2GDh2GK1eu\n6OWeqHxgaCAiquRK2rq78PgHf39bHD68Cvn5KZBK5+ONN/4b95Cfn4cffvgerq6uaNy4A779di+U\nSpVe7of0h6GBiKiSK2nr7sJTOf/rhagBtXoapk+/AuAnAG4a9V26dASffdYNTk6NMXjwKhw5ckdc\n5poqN45pICKqQkoa/1CzplpjAKWzswxyuS+USl8YGJxCo0aLcOHCXgCPQ0ZS0t8IDR2F0NAvMWjQ\nMHTrNgx379aGg4MAT08jyGT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W6RRNiNJAGPKIF4Dy8sCFpMLdZqhUVjr9moyVkAua8+e9O89Fi3rx2GNeKwuf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IlStXhnTe7NmzUVhYKAVDF4O+ElcuJMYIohfSG3diGo0smpoMWLPG64t1+DCLpCRnyBOq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\n1zudTqhU/LIjH6djuzlB8ykJzp51oqtLLbv7TzrBpqUx2L37hmJJn0D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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -656,8 +659,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "[[ 10.3599 2.9076]\n", - " [ 2.9076 2.4082]]\n" + "[[ 10.9154 2.9862]\n", + " [ 2.9862 2.3052]]\n" ] } ], @@ -687,9 +690,9 @@ "outputs": [ { "data": { - "image/png": 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FPixe7Ov3FFQ9kdzQwONXv/IzvBnNG4yOJjZxdbUHggAUF0toazPnfcKrZh0d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00aLLudXVPvT18RuIMZJjWLXKbySOExM1jBql4vXXZZw9KxgKe2bvym7XsGmT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\nJ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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -699,8 +702,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "[[ 1.0005 -0.008 ]\n", - " [-0.008 0.9965]]\n" + "[[ 1.003 -0.0008]\n", + " [-0.0008 1.0014]]\n" ] } ], @@ -736,7 +739,7 @@ "f(x, \\mu, \\sigma) = \\frac{1}{\\sqrt{2\\pi\\sigma^2}} \\exp \\Big [{-\\frac{1}{2}}{(x-\\mu)^2}/\\sigma^2 \\Big ]\n", "$$\n", "\n", - "The multivariate version merely replaces the scalars of the univariate equations with matrices. If you are reasonably well-versed in linear algebra this equation should look quite manageable; if not, don't worry, we have code to compute it for us! Let's plot it and see what it looks like. This plot is interactive: use your mouse to spin the plot and view it from different angles." + "The multivariate version merely replaces the scalars of the univariate equations with matrices. If you are reasonably well-versed in linear algebra this equation should look quite manageable; if not, don't worry, we have code to compute it for us! Let's plot it and see what it looks like." ] }, { @@ -748,9 +751,9 @@ "outputs": [ { "data": { - "image/png": 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FF4s8otyQSiDOmzcP48ePhyzLqKurwzPPPIPp06fbuoq52CTO/pXa+AnJkKuY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\nlRuh/Pxdv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N3EIQU8eY4F7m6Vrz+wVv8JHPPybt4I3PUs6s/f5zkOYJSsivpZzgOPDLjG\nvorvobZ42s/Dubgbpq1grrTwLxFMehJrPiLRMuAY9xKZH/yIa9ij+R4LhK0eqkMIRRsBbEsn4ms2\nEMfyQRHna4nV4dpVFMPA9ukwfM8MxLGwX8S56ondBLxe9EKlUS6Lhwf/vR3QyjTA8vmHULgU9qVj\nxDqsdtz9FuJt2hMUlcBzz+Bv1QbLqtU4mzdHjpB1CN5xB/5330WOi0M9cwajUCECXbrg79kTyTSR\njh9H3rkTvUYNqFULyzffYP34Y6Ssh9lQt3HFigSefx79o4+QTp4ERQFJIvDii+i1a6Nu3Yr8009Y\n9uzB6NEDo3JlrEuWYJs5EywWETmsWRN/794YCQkYRYtCwYKYdjvK3r1Yli5F2bMH+fx5LN/ldHj7\nOnVCe+IJbPPno+zeLchh5cqhyKFZsCBGVuRQ+hu6pNxzzz1s3ryZzz77jKlTp5KcnBy67gYCAbZs\n2ULjxo0pU6YMLVq0oGfPnhQoUOAvXfMf9QG+BYFbBPB/FDdG+/Kq7cuGzWbD5crf8uqXSE5O5tSp\nnAjS7zEb/634KwhgKNqXFYmQMjPBbke7/Xa0u+9GunoV+cgR5DNnCDZtKuoAp03DsmIF0g2NM6bT\nKVK8ffqgPfoo8tmzyJcvgysKf5+++CwqqCqmKSRfzNhY1O3bsYxZgHwmRUT2Ll/GLFsW31tvYxYq\nhHz0CLZFn4GuC0mX2FiCLVpg1KwFaWkYmoZUrgzShbNIUhSOnm0wMfC+8jbWzz/G/slktDKVkK5f\nRk67iF68DN5e4wEZ+9QBYbWLwYeeQd0RLl9iyjL+1r2R9CD2EW+gphwLjWmNW+Ac1j7Xfup17kU9\nmLv7FyB479M45r4Teeyu5jiWDIs4phWriBxBgzAbRsX6qF9PzHPcdEYjp+edAtbqPoRrUt5F8KYk\nYRaIrDtm/24++r4NuHstwDTyTiGHjhVbAuVSZM2/bEh+D9L5FHxtx+Oc1i7f1HTgtuZY/vFp6N/q\nwS0E7nyCYNVGWA6uzz3/gc44povOX8uJnwlaOxKseg+WPFLX9mVD8bz2Ea4P2+BtOx752GFc48Re\neXpORy9SGuXiKaSAD/vC4QQe7oD1vbZ4e06GqFik9HR8o0ZhRkdjOhyic12S0IsWRT1+HMeLL6Jc\nyt3cYxQujGfKFIwKFVCOHsW4fBnt/vsJNmkiyOGJE6g7dmBoGlq7diiHD+Nq2hQ5NVXsMzndxsG7\n7yY4fTrymTPiumIYQovTakXdtg15xw6s+/ahJSfj69sX5fhx7O+/j3T1KkaZMoIcdu2KUbiw+B2W\nLi20DtPTscybh2XjRuSUFCzrc/Zbq1YN33vvoV66hHXZMvQaNYRLSlxcKHJoFiiAGR+PZLGIv/tf\nQA5N06RVq1a0atWKI0eOMGjQILZt2xZSgzBNkxMnTjB27FgmTJhAmTJlePTRR+nVq9cf1uL7d5Ca\nmkrFihX/45/7v4JbBPAm4a96svu1aJ8kSVitViRJiujX+1vRu3fv0PEdDgf9+/f/w8fKC/9JAmgY\nBvr165gpKaiff45ryhSkjHChYEOS8Pfti9aoEcrevSjJyZgJCQSffJLgs8+KZg5ZFvp7hQsjezzY\npk5F3bgBLlwIESy9TBkhy+JyYdmwAfUfazCjojDj4jGKFiFw57NoTZoiXbyAfPYs6DpS2hXMhAQ8\ngweL+sLUK0iZGRgFYqBoMShaFOn8aaQrl5G0AK4OTdBKlMY7fBaOYd2x7BK1fL6338c57CX8z3Yh\nWO9BHD1fxDdmDurR8KYT7dHncQ7NIfXBevfjf7Yn8tV0XG/ntkkytUAuVxCAwKNtccyL3I1rOqOQ\n0yNr2pmxhZBSI2gGAsF7WqLuWh1xDMA0daRg3t9tyZt/ehfZkmddIoCRWAX5bN4SK8r5E1jnDsP3\n6ij8dz2HbdNnEeeZFjtGdHz+awH00jVRkvdj2fEd3ufG4Pi0Z57aiFqdh3END9cps8/ph3fQYpTT\n/0K+IeVuxCUCFuQbvJbtU3vgGbIcNXlnxFSwnJmOuv9HMt9ZhX16Pyw3SPvYZ/bB22MaruGisUg9\nsgut3sMYxSsQ1bc5mSO+IPjM40Tdfh8A/gEDMJKSUFetwrZ3L0ZSEv7+/TFjYgQ5tFrB68UoUQIp\nGMT+1ltYbtAcDZ2H3Y6/Xz/8L7+McugQ0qVLonN++nQAQQ537kQ+dAh/p04gyzhffRU1q37ZBMzC\nhYUoe926eIcOBVmGTKEDacbEEGjTBmXrViHKfvAgxurVeEePRpIkHP37o27ZIqSZqlXD36kTZtGi\nmE4nRrFimHY72GxY58zBsno18okTWNblON8YViu+ESMwypbFsnw5xMaiV68uHgyzIodERwuymHXt\n/k/cX+rUqcPXX39NRkYGAwcOZMWKFVy5khPR1jSNY8eOMWnSJKZOnUrp0qV55JFH6NWr138sKpea\nmhomZH0Lvw+3COD/AEzTJBgM4vf7CQYj1/qoqhqq7ZMkKSwq+EdEljfdUJeTlJSEJeup9c/EzSaA\nIcHm48eR9+7F+sUXQii5bFk8EyeC3S66ay0WjAIFID4e9dtvcXbqhJSSEhYx02rXxte3L5IWxDZ7\nFvLZs+glSmCWKoX/9dcxEgqh16+PlJ6GlJEJhg66QfC+RgTvv1+Qx+gY8Xk2m9AH9PvFTSA6WtwM\n3Zng82FevQ5lymLKEmgauK8jBYNIaengsOHs0xHPkCnolWthH9cvRP606vWQr5zH885UlK0biHq9\nBd72PbB8syBsXwxVFWlbvxe9SCl8r45AOncOyycfQpkyufZRq3Yb6tHcN2YAMzo2os6fAUie63n+\nbSRvZt4C0BXqoq6IXG9qAHI+x9WLlM3TWSS0rnzIH0CwYTOsqz/Od45+bwui+rXE9+LbeFtUxL78\nvVzno1W9F3Vv3p3M2Qg88AL2BeOR0y6gl66M76k+OFa8n3vtBeLBm1u3UwYc03vj7TQB5/T2oXX4\nG7+O/ZOhueba5w/F12IAjs9yP9SZgF42CfNaBkpKuCWdnHkVyz8X4m3dB8cisT7b4lG4ByxC/flH\nHOPfwNv/YzJ3bwGviZyaivrFFyibNiEfOoRlyw2OJI0bE+jaFfnsWWxTp2LUqkWwfXsC3boJlxur\nFTIyICoKs1AhrB99RNSQIblqUE2rlWDTpvh79UI+cQIpEMB0OvG9844gUqdPo+zYgbJpE3rDhmj3\n3IN1yRKsc+YgBYOCHCYkiG7jpCT8L7+MUbWqqOFVFORLl9DuuAMAZetWrEeOwJdf4n/xRYLPPINl\nzRpsM2ZgFCqEXrUqgTZtMBMTReSwQAHMuDhh5/jdd9j79hXZhV/+/Zs2JfD661h37UJOSUGvWROz\nUCHMuDhRexgTIxpT7PZ/ixyaphlRCqdAgQJMmDCBCRMmMG/ePGbPns2hQ4fCAgi6rnP8+HGmTZvG\n9OnTiY+Pp3LlyjRt2pS2bdvetAaSP+oDfAsCtwjgTcJ/4gntt0b7sjt581rf7yVXs2bNCulHSZLE\n8OHD/8Dqfx03iwAahoF2/TrmhQtIGRnYxo1D/f575Ks3REeAwEsvoT3xBMrBgzg++QQjJgajUiUC\nr7yCmZCA4XSKm0FGhiBt6emQmkrw3vtEyjclBdPtRkuqi+R2Yx80AHX1auRs/UVVJdC9B9rdd4uU\n0bIPkC9fgugYgnWS0Jq3wCwYCwG/aDqpUgXJHwDTQPK6kZKPYJQsjZJ6CetHEwh07oGy+Z94Rs7B\n+sVCCPqxbs5J43oGTULyZOB6qwPyZSFyrN3ZCHuv8HSpv/XrqBtX4nltFEZCKZyDXke+nkbmpKW4\nhuQ2kfe36oJj5oDc+6yqyNcje+3qte5FPboz8liR0siXTub9B9S1MKu6sKFq96Acj0xGAQJ3t0bd\nFVnfD0Cv/WBEweqwOSWrYj85Mt85RqFSyGkXcU58E9+TL+F9dTaO2a8h3aAJGKz3OPZZvx45N4qW\nQ87qWrav/AhP1zH4734e28bwzupAo47YvpkZ6RDIl1JQd28kcE8HbBvmYrhi0YuUR76Sm5yrx/9F\n4IHnCVa4A8uxrWFj/id7oW75DvveTXjfnIVraMuwceuWr/Dc/ihasfKo55ORDAPHR2/jfWcmriHP\nYV0yAd+LfVHXf49j3ET0KlUINm+OWaoURlQURrlyorPWNLHOny9+l0eOhDWCGEWK4B01CiwWLPPm\nibq/227D88ADmA4HptUqSjeuX8eoXh1lxw5czZqFtDKzYVqt6JUq4Rs9mmCrVuKhKzOT4EMPoT3y\nCFKWY49l0ybQNLSHH0ZOScH51FNCnBowCxZEr1ABo04dgk89JcpE0tJEpO7cOUybDa1BA0EOk5Ph\n66+FiPWoUSiXL2Pt0wfJ78eoUoXgM89gliyJ6XKJ84iLExqHFy5gHzgQeffuXOTQiIvDO3myEPX+\n4Qf0qlVzkUMzLg7T4fjd5DDS3Hbt2tGuXTs0TWPu3LksXLiQAwcOhClJmKZJamoqqampbNq0iUGD\nBlG4cGGqVavGo48+SsuWLf80QpiamvqnSo/9f4Nk/l06Ff7HoOt6np22/w7+SLQvEjRNC5E4RVGI\niYksRREJtWvX5vBhoetWrFixXF6JfxYMw+BqFimTJImCBQv+4WOFon0pKUj79mGdMQNl/370UqUw\nqlXDqFwZIy4OIz4es2hRYU9mmijbtyMfPIh68KDQ+Lt6VdTzDBqEFAxinfcx6j//KVJFFoso9E4s\nia9PH3A6UHbtAr9feJja7Zg2G0a5cpiFCiEdOyZ0yrQgUjCIoaroDe5Aunge5UwKGAZGqdIYCQnI\nF85jRBdAKhCNsnUDUtoVtAcexrp4HpZln+D+8gfwerB+sxzLgo/wfPINrh4tkbxuAvc2wddlEMr+\nXbjeeyO0J4GGjTFq1MT+aY76vynLZMzbhHT1Mo7xg1EPCjJlAJ4x84kamNsGKXPsEqIGtMz1ur/x\nc0iyhvWHpbnG3D0/xL5sNMrFkzmfrVowipXH16I3qApyZhqmxY6pWEBRQVYwFRUzvgRyagroAbF3\nvkykqxeRr5wlUK8J9lVT82wgcb+zHOeY5/MkkO4u03Asfj+yywmi/s894HOiBjaPOA5gumJw95hO\n1KAcjcVgzTvwd+yDc3pH5ExBijO7LyZqeKs8jwNgFC6N99kBuEa9HPZ65nufYf/HJNQjOVEzd88l\nuAbn/juEnV/fT7B/PojgHa1Rf/wa9URkKzsD8AxcjGtyu1A6XStTG/+Dr+EaI7Th/I+9hOlwYF8x\nJff595lH1KBmodf8TV7ClC3YV0zH03kUWtXbkX86gLNzFyhYEO/770NMDJaFC7GsWoWRmIhRpQpa\n3bqYpUuLdGqRIiL653RiWbIEy/LlyEePhutuAv7u3dEffBD1++/B7caoWlWQoSxRdikjA44fx6hT\nB8nrFf7cN8hZgfgtG6VK4X/lFfQ77xQi1haLeL+iIJ09G3I4kVJS8I8ahVmsGNY5c1BXr0aCHCma\npCSMGjXQqlUTwtOGgZSWJrqVt21D2bwZOetabAD+fv3Q69fHsnw5lg0b0CtWFMcoWzaHHDocmDEx\n4HRiGzoUy1dficafX8DXuTPaU0+hbNsm3lu0aE5aOSYGYmMxonLkhTwe0VwlSdJvrgvXNI3PPvuM\n+fPnc+DAATIy8vfYliSJ2NhYEhMTqV27No899hiPPPJIriDFb0HTpk3ZsGHD36qZ5r8JtwjgTYJh\nGHkStD+CG63ZIv3JJEkK6+T9Lev7I+Tq0qVLlC1bNuQU8tprr4XZB/2ZME2T9Bue2v9IkbFhGBg+\nH8aRIwDIp04h79kjdMR27hSNGUDg8ccJdOqEnJKCbfx45OPHRd1NsWIYiYnolSoRfO45UY93/rzo\n8pYlQUwUBXQNNA0jsSRmdDTqtq0oB/Yjebzg9WD6A+hNm6DXSUJKv4qyZ7e4oURFYSQUxoyJRsrM\nRE6/AteuoZcqA4klxPsvXcAsVRpl11aw2tGr1UDdvQ3H4DcxnS4y561APbQXx8i+SJnX8QwZh2XL\nGqSzp/C9OQp15xa02+/C9frTYW4cmdO/xNX3OSS/V+j5NX2OwGNtkc+cwPVul7B99D3TCdmbjvWf\ny8P3N6EYvva9cE7JrcmXOXQRrvGv5kqpmoB71DdY1i3EqFgPo0AcptWJJClIp4+jVW2Ac0hH5Mvn\nkP3hdWi+Fq8gXzmH9cevc9bgjMIoXgajeBl8HfoiXzgOLgeSLxP58knU3WtQj+9GCvpwv7kI1+jW\neX5fMvt9juu9p/NMP+slq+J/qCPO6XlrEAYat8F0+7Ct/8VexRfDM3g29gW9kdPP42k3hajR+TdP\neVsPwLL2c9ST4TI6BuD54Bscs19DST2NkVAab/NBuMa8lO/xDJsDz+BFmLpBgXxILECwQj2CD7fG\nOe8tTJsTd/cFOPu1CBENE/D0n4/j4/65PJ6D9ZsSrHEXzo8H5MztNQvHrIFI6ZdwD1wAyOglKqMc\nOYZpsYgyhtOnUXfswLJhQ8j60NeuHVrz5ii7d2ObPBkzOhqjalW0pCSM7IiZyyUiXy4X6q5d2MaO\njZhO1WrVwjdsGPLZsyh79qBXqSKIVDY5zMxEOnAAoqPRq1fHumYN1pkzkW4omTFVFaNkSbSGDfF3\n745y4oQQsbZac8jh7t2omzYhHz6M9vjjBF5+GWX3buzjxiFdv44ZE4NRpgxa7doYNWqgFymCUbUq\neL1IhoG6YQPKtm1CziYtJ4quJSXhHzgQ6fRpkVouWlSQw/LlRR2xwxESljeLFhUp6EGDkCPci/Ty\n5fFOnIiUmop0/jxG8eLoMTGiBjM2FiU+XkQQTfN3ee3u2rWLefPmsWXLFk6fPp2nzuyNUFWVhIQE\nEhMTqV69Oo0aNaJp06Y4nfkLqTdp0iSsHOkWfh9uEcCbBNM0f7X79rcc48+I9uV17BvJVcGCBX/T\n+xs3bszGjaKmzGazcfHiRex2+2/+3N+LtBsufr91jZAl2HzxItLBg6Izb/ly0T1bqBBGqVLo1aqh\n16qF1rgx8rksv9mgiMRJFy4gHz2KcugQnDuHv0cPpKgoLEuXYPnyy7A6I0OWCbzZG+3uu1A3b8ay\n8ktQLZg2K1is6JWrEGjXHjnlNJbVq5BShfcvPh/+Tq9gliqFuu47lORkgnXqoN99Lygq8tkU1A3r\nMaJjCHR4GeVsCsqh/eixBVFSjmPZ+D3+Lm+hJ5bCPnEo1jVZQraVquHrR/n6egAAIABJREFU+g5Y\nrcgXL+IYOxj/s22R3GnYVubU+uklShN4qTv2sb0IPtCMwBMdUNevQavXEOe4d5AvhqcGM6Z+QdQ7\nLXPZuXneGIH1h6WoR3KnXTOHLSJqaGtMwEisRODuZuhlqmM6ojFdsdjnjUfdvg7Zk9OEYADekfNx\n9Y9suO4e9znOfs8jBXI3eRiA9925uAZ3CL2mJZYj+HBLjJq3YcoGZkwC9vkDUA9tjkjy3D3m4Rrb\nLuJnA/ha9UXd8BXqyX15znG/NRvHiJcjRmQMVcUzYgmS+xLq1tXYtn6Z53EA3O8swjUwMmE1HFF4\nhi/GNfE5fM3ewfLlHNTz+fv/Ang7DkcvXp6oYXkT4dDnd52Mdcsigve9gHXxNNTjP4evISoWT7+P\niRrcLNd7PV0mYP36Q9QU8fBlRMfj7ToF17vPYcQk4HlrJmYggHXOUmxLl4moW1YjRbBhQ/RHHkE6\ndw5UVUTKk5Ox7NiBumED8kXRPKSXLo135EikQEB4Al+5In7bSUkinZrttlOgAGZsLJLbjeOtt5B/\n+il3OtVqxfvBB5glS6Ju2oRZvLiQbXE6Bblzu5EPHkQ+dYrg008jX7yIbdQoYbWYhZCIddWqBLp3\nF8Q2NRUURegCXrgQcjiR9++HuDi8H3wAFgu2CRNQd+4UD4XlyqHXrIleqxZGfDxG+fKiwczpRN2w\nAfWHH1A3bkS+oSnDUFX8Q4eiV6wohOWvXBHksEIFcf7ZXdduN0apUsjXruF44w1BYH8B02bDN2AA\neoMGyAcO5EQNCxbEjI0VdcmxsZjwq6nldevWsXDhQnbt2sX58+dDUcZfgyzLFChQgCJFilChQgU+\n/PDDXEGAWwTw38MtAniT8O8QwD872pcXfi+5WrNmDc2bNw/VGzZs2JB1N3Sz3Qykp6eH9iA2Njbf\nJ1HTNDE0Df3wYaSUFNHJZxhIqakoBw6g/PQTyq5dGGXK4B84EDwebNOmoW7Pqfky7XaMokUJNGuG\n1qIF8pEjSH5fqBkEi0WkIZ1OzJgYJKcDrmcgnzopXAa8HiSPFyM+XtT+WSwo+/YCJtjsmHYbRnwh\npIAf6dpVpGtXkdPTMWIKYpZKxDJzGsrlS/ibP4ORdBvyqeNYF85D3fwD7g/nQoECoKioO7diygpS\nwIN95jgAdKsV9xcbUI4dxj56AMrZ0xiyjGf2clxdmocRHveEhVg2f0vggeao27dgnTEGVBXPuI+J\nevuFsH01rHa8gyfjGhqehgTIHP8Frr7Nczc4lKmGt/8spJQjmI5o5DOnsX0+D/XgbnzN2yP7MrB+\ntzzX8QJ3N8EsVhLb8si1bO73F+DqFzlqFrj3CcyYOGxfzYs47mv+MpLnOka5qujVaiNfScG6dg7K\n8X8J4eZiFQne+zyOBe9GfD+Au/d8XCMik1PIim6++zlRfZ7Ocw7A9Wk/YtnyBY4VeUfPjQJxeF+d\ngmvI83nO0YuVxdt9NMgqUQPyj+iF1jfkC5T9u5A9l7B981G+8w3APf4H5N0/4po5MOKcYL3GBBs0\nxjmrT/hnOQrgeXMWjuGtQmQrcPvj6GVr4/hkOMEadxJo+hJmbCF0r4rthx/g8mWCjz2GnJYmOuj3\n7BHHstmEeHONGhi1axO86y6QZSG9lJmJsm8f6vbtghxmXdcMINC7N9pdd2FZuxZ1zRr0KlXQ69QR\njRhRUaJDV1EwoqMhJgbbmDFYFi/ORQ4BAk8+if+NN1AOHEDSdSH4nB059HgEOdy+He2++zCrV8e6\neDGWxYtDPtHZ5FCvVIngI4+gN2qEdOqUyCCYJtLFi4Icbt2K/PPPyIC/TRuCLVui/vgjtqlTxVrL\nlkWvUQO9dm2MQoVENLFECSFFc/w41qVLBTm8GN5hr91+O76sRhPLypUYtWujV64sGtyyylO4dk38\nf2Ii1o8+wvbpp7l8rk2LRRxr6FAhVxUM5iaHcXF5uqTs27ePZcuWsXXrVk6cOEFqauqvZssUReHi\nxYthvr8+n49WrVrd9HvQ/zJuNYHcJPzemoRswpifS4fFYsFms2GxWP6Umocb/YANw/hVMvnKK6+E\n5judTpYsWZLv/D8DNwpq5/Wsous6xtWrSIcOoa5YgWPmTKSstEO2OKxWpgz+Hj0wCxdGPnVKpGxc\nLtG56/MhpaQgHTyIUakSRq1aWNavJ6ppEyR3uLSJVq8e/n79kc+kYOvRTci0ZBE70+4g0KkT+m31\nsaz+BvusGeDxIvl8mKaJb9BgJNPA2aML6j5RexW4oyH+0eNAkpDOnEZ79Al0w8AsXhzna21RUk4R\nrF2XjFU/oly6gHXBx6j/+JrgAw+jNX0cx4A30KrUwt+tP3rpctgnDQtFAwF8g8dhmzU2RNBMSSL4\n4FPoZSohHz+K86WnQzc7b9cB2JblFiX2v9Qb66pPcr1uWK3I11JF/aMkoVeuR/Dh59ELl8SILYJt\nxlhsaz/P9T7tgSdw9cmDxD3ZDueILhHHtCpJyEd/jjgGIoWd13sB9Lua4OzbBmm1cPAwYuPxdXwb\no+UglIvJGDYHtjVz83y/KUmYzug8xwGMkpWRzkeuHwwdR1aQr6aB4cT70hjsc97OdZMFCN73HNYV\n+RM05fwJlI2r0e9tJqIx+c4GrV5jlH07ccwZjnv4ApTkPaiH8hHctjqE726FJNFhHWGOZddagnc9\nTrBSPSxHchxWJG8G1jVz8XUYhn3pWPTyddCrNiBY72HM2EJY1i9FSTmIeXQvNGyK/+GHsW7bhnL+\nPGaBAvj69QsJrCs//YS8bRtaUhJm1apYly/HNnu2+G05nRjlyqHVrInv7bdF/WDlykgeD5gmyo8/\nIh0/jnTpEtZjx+BrUT6gVa+O7913kS5dwjF8uNAJTErC99FHocihlHWNNEqWxLJhA1FPPhm6ttwI\nvUQJvJMnoyclidR1ejrBp54i0LIlkteLfOgQ6tatGF4vwS5dkE+exPXoo8hZmoemLAtyWLEiwSZN\nCM6aJZpJdB0pGESvVAl/hw4icvjzz1j37cNYtw7vBx8gud04X3kFJTlZ6BTWqIH/jTcwCheGbCka\nhwMkCdv06VjWrhXXrY05No+GquIdMQKzXDmsS5dixsai162L5/77Bcm120Vjzblz6ElJKCdP4mrT\nJid7koVskut96y2MKlWE1mJ2tLBgQczoaKpXrUr1wUIaSpIkNE1j7dq1fPvtt+zbt48zZ86QlpYW\n0h4EiImJCSN/cMsF5M/ArQjgTUQgEPjV7tX/VLQvEq5duxaq5YuOjs63CLdz5858/PHHoX/36dOH\nIUOG/KnriYS81hhq6jh5Emn/fnC7Rd2LzYZkGEgpKSi7dyMdPEigY0ekhAQsy5ZhWb48TLAZQC9V\nCu+4cUiYolg6Pl7UwVhtYLNiqhbMIoUxLVaw25BPnkS6dk2kpa5nQHoaep0kjDp1kA8fRN25A1O1\ngNWKabGi103CLFJMOHZcvYqkBTF1HaNadZQdW7F+sQx153YkdyaeMRMxbVbk8+fQa9cVsi+ly+Do\n1x31JxGp1MqWxzd4JOrOzWh3NkLZuwdl1zb0BxrjeLdX6LyM6Fi8I6fg6v0CpsOFv00XtLp3YUZF\n4+j/Gurxw2H7kDnzc1xv5K5/y/zwS1xvNs9FUrwtu2CWrYjpLIBZIB7l0D5scychp10mc3rkYxmA\nd/QnuPq9GPHvnTl2EVFvR05Nugd9hGP2cOQ8CFbm+4uI6pN3WtM9YgGuvpGJp1GoBBkfLEG5eh7r\n9wuwbPky1/nqparhb9wh3/o/b9tBWNYsQj19JM85wXoPoFeoh33eGPwPt0J78FGck14O6xAGcPf+\nFNeQF/I4Sg48PaciH9iDWakSjhm9853r7rcQR78XkA1D1BFOXoVzdFvka6mRz6fDcNS1K8FqJ/BE\nW1yjItcYmlY77veW4BzcLCz1rZWtifeNyUjuTNQfvsb649dIaRdxv78IOfkgRpnyGKUrY1kyFe3R\nF1Cmz8c+d26IaJqShL99e4IvvhiyPTSzGqqQJOSTJ1G3bkXdsAEjMRFfnz5IaWnYJk5EPXBAOPaU\nK4dWuzZ6zZqi0atCBRGdcjpRv/sOy9q1KFu2IN+QmjRkGf/AgehJSVhWrkS6fFmklRMTc8ihJGFe\nuIBZsSKSx4N94EDUvbmbasyYGOES8vjjyEePClef7Mihzxcih/KOHQTefhujYkXRAb1yZejhyixe\nHL1SJfS6ddEaNMAsXRquXhUi2GfOoOzZE3I4yd5/f9u2BJ95BnXdOmxz5mAUKybS43XqYGTrFLpc\nEB8P0dGoq1djmzYN5XRuYXKtXj18Q4YgHzqEcvAgRvXqORFQux3J60U6fBgzNlasf8kSkYa+4btg\nyjJm8eIEGzTA/8474kFckoQQdmwsZpbUFlnX+AMHDrBq1Sq2b99OXFwcM2bMCFvT7t27Wbp0KZMn\nT474nbyFX8etCOBfgL8i2hcJv1VmJTk5mYULcyQnSpcu/R8hfxC+RsMwhGCz14t56BDq+vU4x40L\nq4MBkS4KNGtGoEsX5ORkZK8X0+0m2KyZeCKXJDh/HunKFbQ770ROTcU2oD+Ww+GEyAAC7/RBv+MO\nLJ99hvXjucIv1OkM6Xj5+w3ArFUL66KFSB/PRgqKZhDT0Am82hmzYEHso99H3fczXLuGBPjadUB7\n4kmcL7dFPnYEvf4deLv1QnuoCfLlSyjHj6Gu/ye26ZPxzP0MR9f2qMfE2gK16uGbMB3leDLy8RO4\npk3ClGU8n36Bq1OLsPV7R0zFumwWnsFTMAqVwDZ9PNb5c/EOej8X+Qs0aoq67fvchC2+CPL5kzlp\nLEcUgQefRrvjIfSiZbB+Pg/r8o+Rb/geG8VKopw+FjEaFXyoOeq27yKMgFayPMqpoxHHAIyYuDzJ\nn5FQLM8xAK1qPZTDe/Ic5/JZ1FPJOPq1JfBCN9wDvsDyr++wfjszRMyE/l/k9HI29MTKOPIhfwDB\nB57FPkZY8dn+sRj5bDLuvktwju+AnCnqck2rAyy/XltrKipGQgmcn7+Or00PvG0G4FgQ2UHFKFwa\n/IEQQZAB58B2eAbPxPXes7kcRoy4ohglKmPZKyKEevUG+J58FfvKGb88tHD+mPsu3rfm4BrVHlOS\n8D3XF714ZVydm+AZvgDr+pXIqSJi5Hz3JTyD5+B853kkQ8c98lPwedHe7k5GyxZIBWJFONNqRbqS\nhv3991HWrQv7nplWK3rlyviGDMHfubOIamkaZkICvoEDUQ4eRN28GWXzZix792L06wcVKmBdvBjb\n7Nlgt6OXL4+WlETwsccwYmPFg1+RImC3oxw4gG38eJStW5H9fvjqq9Bna7VqCUJkGKgffoheqxaB\nrl3x3xA5lE6fxpQkjGrVsH71FVGPPBLWTAKCHGo1a+IbPlw0pGVkQDCIv317Aq1bIx85grp1K8rm\nzUgZGWh3342SnIzt9deRU1PD7O+0e+5B79AB/bbbQtJU8tGjwumkShXkXbuwHj4MX3yBER+Pd9w4\nlIwMbEOHImVmolerRqBDB8wSJQTJtdlEc018vKgX7N0bKSs1HfY9kWV8I0di1KuHun49sq6j3Xcf\nWtOmIq0cDKIcOYKcnEygWTPky5dxtWwZXjspSTlOLc8/T/Cxx6hatSrVq1fP87ufmpp6KwL4b+JW\nBPAmIhgMhunz3WjNFmnbZVkORft+T9fVH0VGRkao9sLlcmGz2SLOq1OnDocOCdFXVVVZv349t912\n201f3y/XaElPx3rsGJaffsIoUgRcLlHDY7UipaeLYuX4ePQaNVC3bsU+ZQrStdyivr4OHdBaPouy\nYwfyyVNCXiE+PqTYb9jt4iZgtSJlZIhu3suXkM+dF8bzFy8QaNces2w5bNOnoa5bCz5fTiq1Q0e0\nZ1tiWfUVyoEDwjIqPgG9eCJ6o/tEhPLcWSSPF+n6NUy7A7NIYZzdX0W+JOp2jLh4PLM+xT6gB9p9\nD6HffT+m34dRqgzONzqgJueQDPeMBdimvY96UEQfDFcBvD0GoT/QBOXnnTiG9UO+JHT/Mj9cgGNM\nX5Rz4U/5mTO/xNW7NZI/vLnC038iln8uxqhYC63OPaDYUL9YiLr1B/xvvYdz8Ou59tc9fAb22aNQ\nUnLbtbknLsM5sD2SJ7cbh6ffJGyfTUE5lZtAGXYn3jfH4BqZ+/MAPF2GYV23HPVQZA1A96CZOKa/\nh3wxsrtI4N7HMWMKYfsyJwUcaPQkgVYvoZz6GfvysXi6TM7lsnEjTKsdd99Pier3TN5zAPfIL4jq\nGV6vZxQqgee9WTimv45y4TiBe1piahZs3y2IfKDsNd7XAsNaEPuXInXv6ToMJfMCtl9IswB4Xp+E\nfeb7IRKWjWDd+wg2fRbn5K5hr7t7z8Exri9y2sXQ2r3vzsW65APU45GbYLwdBiGlnUNr0BTLqsXY\n1ogyESO6IJ4RC3D2fDJE4vTE8ni7j8bZqwWS1Y57+DxMVzRmqfKYP/9MgU6vIgU1tEoVMerXR69W\nTXQAO5yiO9VuB4sF+6hRojnrxn3OivwFHnuM4DPPIJ88KWqCASk9HeXnn0WX7s6dyIaBVqkSvqFD\nka5dwzZhAvKFC+gVKogmiipVRDOIw4GRkABRUWAYOIYORVm7NoyUQlb0cMgQ4Tv83Xfi2lK8eFha\nWUpJQTp0CO2BB5AzM7GNHYt6ILzT24yOxihbFn+nTuh16iCfPCk6fK1WJL8f+fBhlO3bUTdtgowM\n/O+9h1G1KpZPPsHypWguMosWzZGRqVABPTFRXNsA+fx51E2bRFp5586w8/A3b06wQwfUjRuxfPEF\neuXKObWT2dddRRHnVKiQsMOcNStiiYBWpw6+UaNEGv76dSF+nbUX6DrKsWMo27fD1asEe/RAr1VL\naBf+ovQnuxwo+964aNEiAF599dWI38Vb+HXcigDeRGR/YQOBAD6fL5TK/CX+E9G+SLiRZOb1HDB6\n9OgQ+QOhu/SfIn+maSKZJvbLl1F37cI5bBjK8dykwihUCM+ECei33466ZQscPizcPKZOFWkWVcW8\ndEmkGkoUx7LwM1xPPJErFWwULox3zFhkjxtb9+4oe/4lPEuzZBGMIkXxv/km0vXrKPt+hqtX0e++\nC71RI7CoaBUqQZQT+cAB1N27weHEKFsWrqSh3XU3kt9P1IvPIaWcDkXUPGPGI19Lw96rM5JhYBSI\nJvBEcwKvdUM+c5pAp25YVn2Fbc5MPHMW4uzbLYz8+Z9+HuXwXuSTx/F2H4Beo57QDKxQiQKPNURy\n52hyGSVKImVezUX+jKKJyOdPhZE/o3BxAk+8gF41CSOuCNaFs3HNmB4ad4+Yhm1+Hn67sfERyR8A\nmj8i+QMwiiQiRyB/AIGnX8L6fd4ds0aF6ijTIjcpAJgFYvMkfwCBR9vgerdz2GvW9Suxrl+JVrk2\n7m5zMWNiMQoURM5Ij3gMrc79qNsjRzezoVeqi3L8YK7X5ctncfZsgeeDJdiWjSRYrymOEflLugAE\n72mOo29Omtg5ZQDuflPh/tbYvl8Uet20OTESSuYifwCWn35Ar3kn/ie7YFv5oTiXKg3A7QuRPxAB\nOceILrhHL8M5+JlcEj0AlnVL8PSdi3PIy6jHckiifD0d+/i38I5agutN0SCjnEnGtngynuEfE9W/\nPa5BHXGP+ATb8O74X+lLxuYNSHsPIOu66Ji9KCze5IwM1G+/Rd22Fb1GTfQ77yD4xBPgcmLa7HDl\nihBXrlQJZfduoh5/PFSrZgJmoULolSqh3XEHwdGjRRrS7RbpyrQ0tIYNUTduRNm+Hcv27UKbr1s3\n9Pvvx7piBdbly9HLlEFPSiL4wQeiicLpxLDbhTNJQgLW+fNxtmiRixxClmvQyJHIVivqvn2YJUrg\n79sX3w2RQ2XnTvSCBTEeegh1/XoRfbuhJi6bHAbr1yfz++9FOlXXQZIItGqFVrcuapaMjGXDBqQr\nV/Ddey9KSgr2Ll2QLlwQ9ncVKqDXqyccSqKi0LPS45Ikoa5YgbpxI9KpU1iPHg3VThpOJ95x40TT\nzNSpYLWiJSXhmzEjh+QqCub168K7+fRpHG3aoKTmLjMwnU4C7drhGzYMKToaOS4ONcI9MDuQYpom\nuq6zceNGlixZwgcffJBr7i38dtyKAN5EXL16FV9WA8Av8Z+O9kWCx+MJ2fk4HA4cDkfY+KxZs+jR\no0coTR0bG0tKSspNsX3LRqi2Lz39/9h77yinynb9/7NLdupQhl6G3pGONLHja68IIiKKioBKL9J7\n76D0Lr0JqNhFuohDk97b0MtQJn2X7x/PTIaQDHrOeT3nXb8f91ouXXn23tlJxuR67vsqSIcOoXz9\nNVJqamY2ZgZ3Rtfh1i2MMmXEl1r//qjHYy0wzKQkfMOGIZkmthUrRIJH6dIiOindFsHMnh0SPFhu\nD8pvW4U/4IkTKMeOwblzoGkERo7Eyp8f+/hxqNujSfN6yZIERo5G2bUDx+iRUWMevXIVAoOGYJ8x\nDdu3YoRkAmaJkvhmf4F884aIfNN1ITixO7GyeXB1aIN8LhOweCfPQvt2FbYfM/3v9AKF8S5ag5Jy\nBvniRWzLF6L+vgX/p/1QD/2J9m20ACNt5nKR6nHtctTj3nHzcE7ojenJRviltzGTSkCaF+n4UZQb\nV7AvilXkeqctx/1JbCawXqEa4SeewzktNh0mVLcBVonS2JdOif2cHC4C3UbjGhxfxOEd9yWu7k2Q\nwrHKemH/Mht3v9iUEgDTnY3AJ0NwDW8bdx0gbdhiPN3ezHI90ORjCOvoj/4L5cw+HIuHI90FgHwd\nJuMY1wk5jkVN5Jh243BMH4J8Iz7nzgR8I5dg5UgkoeO/srwOgJktEV/HKXi6xZpJe4cuQFv3BbYd\nP4r7b9gJed8etD9+yfJ63kHzsa+dgnJgK97+q3B1aRQXwBhJJfF3GoOnZ7T1i5k9N77eX+Ds9g7+\nofNwdX0dORBt+RFq0BC9xiO4RraPPBZ45X3MgsVxfdYby5Md77AFOId3wd9jHEa1urB1C9q+fUip\n1zFLlBSWJg4n0o1UlN9+Q/v+ezh7lnDDhuhN3wKvF3XdL1j58mEWK56p9rUslEOHkP/4g/DjjyMl\nJaF++y3a/Pki9k2WsQoVEkrhGjUE565yZaQbN0DThIvA9u1RHoWAyB0eMUIYw0+ZAqqKUb26EJQl\nJAienKal+4QWRjl9WtivxAFEps0mxqkVKqDs3Su4cXd1DuU//kDZu5dQp06gKCLJ6I6MZCshQSim\nK1cm/PLLmPnzI1+9KoBuMIhy9CjKtm2oW7ciX78uqC6dO6M//DC2lSvRFi4Uk5RSpTCrVcMoW1YA\nzhw5sPLmBYdDAMulS4VRfjDaVD1cuzbBnj1R9u9HXb9ecA7vMLFGVYWw59gxjAYNsCpVQsqe/S+b\nH5Zl8csvvzB+/HhKly5Njx49KBYnmvJ+/f26DwD/wbpx40aMCead0Wz/1+7lfr8/cn92uz3K+X3h\nwoW0bt06Mn5VFIXp06fz1lv3Nq7971YG8DPOnsXy+7GPHIlt8eK4fJNg9+4YtWpFdqdmpUqZKQF2\nO6gqVjCIWawY8uXLuDp1QokDDkNPPEGwXVuUQ4dxjB8HkiQAYv4Cwo+sRHH0Z59DPnlCgDNJSk+j\nkMX4Q7NDzhxYNpv4gtV1wREkndOSJ7fwFbx6TQCXcBhCYczChYQib8E8lF07kE+dRNJ1Qk89Tfjt\nd3F91ALpjpxNX98hKOdPY/vha0KN38aoXhsrHMZMKopzYA/UrRsiHUWzYGH8fQfjbvdu1GvVS5Uj\n/E5LnIM7Z77ndgfhuo8T6DYUOeUk8qlTOKaOQ74gftzSvliDu1VDAbbvqODzr0P2bNiXz455T73j\nFuIc0TEGZAKkjV2Ca3Br5Fs3YtYCzTujHN2N7ff4AMU7dD7u3vGFI39p//JOV5R9f2BLXh93XS9d\nmfDDL+CcMTTuOsDt8avwtBc8uXCV2gQ+6oltzzrsqz9HMkUnOa3fcjw9Y0HxnZU2ZCWezg3veUzo\niVcJvNgC29HtOOYNzlLZG3irO+rmn1EPxEbqmYB/3JfYlw5HObwd74DVeDrGevXdfY5v4lrU3b9A\nWgjHktgxcuQen2yIXq0erkni78myO/EOWIqrx/vIqVcwkkrg7zERV7sXYv4f9rfsjXT1YmRsDeD/\neBDSqWM4vpqHmT0R35D5uHq+h7/7WPQ6j8O1ayiHjyB5fSi//IRt7VphsNykqYhhvHQRHELpKp09\ng7ppk1C7pvODTSD89tuEmr2NfPasGEWmgyvsdqTLl1GSk1E3bsSyLILpvDj7xImou3dnehRWrCjA\nXYECortvt2O5XCjJydh++EHYr6Sby2dU8M03CTdpgrplC8pvv2FUr45RujSW253pMXj1qrif3Lmx\njxuHli4AubMsmw29Xj0CAwYgnzkTLYhJB4fKH39g27JF8PlatUL54w8c48ZF3Awsj0fYyFSuLIQx\nTzwB6bnG0o0bYhy7bZsYj2e8dwUL4h89GsnvRxs2DDk1VWQjV68eZaRtJiZiJSQg6TqOYcMEZzMQ\nvRmygHDjxsIjsXhx5GzZ/hbw++6775g4cSJVqlTh008/pXDhwvc85379vboPAP/BCgQCpKam/kd0\n++JVMBjEm/7FoGkanvRIoBUrVvDee+9FfAxlWaZPnz706NHj3/r8kW6f1wuHD6OsW4e2aJFwyK9e\nHatIkcxdo90udtPZsgkrgxkz4oLDUNeu6HXrom7YgLJjB0aFCpilS4tRbgbHL1cu8HiQAn60mTOF\nxcShQxFyvOly4R81Git7dhzjxqDu3Bn9PKpKYOx4rBzZcQzoFzOWDr76GuF33sUxdBBqcnTElG/0\nOCQjjKNvzyhgFXj7Xcw6dXB2+lh4jBVKIlz3IUKvNobceZDPnkFOOYP6/Teou5LxjZ+KtmQuti0b\noq5/e9Ea3B3fE4kid1Ta3FW4urbAzF+I8PONMYuVBpuG6cmOY1Bliy11AAAgAElEQVQ3bPuiuXPh\nuo9i1KqLY/LwmM8tbeZq3O0ax+3GeScuxt05fifNO3Yx7iy6bGkTVuHuEitEANCr1EOvUjsqsi7q\n3OGLcQ1pg3w7FlgCpI3N+tqQzg+cMgj5Yqz6EdItMvpOx90zusMYfOo1Qo3fQft1Cba9m/G/3R/3\nsKzHtkbhUgRe74B7+CdZHgPgHbwAZ5dmhJq0wqxSHee4j+Peu3fQCtydsuYbmoBv0lpsf3yLpSTg\nmBv7Wcackys/aWPXkPDhE0h+7z2P9X8yDOXIdmxb1uDrswD7pKFRY99wjYcJvtEaz12+jRbg6z8L\nbfkUbOngNYNfaFs2Dduf2zBz5cM3eC6udo0JtBuIXrEm5MmHZUnIZ84gHT+GlD07ltuDdPEi6o8/\nYFu7FsnvxypSBL16dfTaddAffkSMdmUZ/H60GTOwffddVO63JUmYhQoR6NMHs0wZwRfUNDFpsCzk\n48dRfvst4jEYbNaMcKNGKMnJOCZMgHBYgKpKlUS3Kz2RxExKivCT7Z9/jrpxI/JdnGQzWzb8o0dj\nJSRgW74cq0gRjFKlsDyeiDeffOUKUkoK4bp1UY8cwTlsGPLFi9HvaXp0XaBTJ8zy5aNfgywjpaQg\np4ND6dw5AqNGiei6KVNQfxXiL8vtjoBDo1Il0fnLn1/4m3q9KHv3RjiHd4LcYMOGhJs3R924EW3B\nAoykJMxq1UTE5p0pK6GQ4B9WrIjkcv0l8DNNkzVr1jBlyhTq1KlDly5dyJ8//z3PuV//tboPAP/B\nMk0Tv9+Poij/592+eBUKhUhLE3wsm81GQkIC33zzDW+99VbEg0mWZbp16/ZvVf1Gun3nzmF5vchH\nj2KfNg1ly5aYHWOwcWPCb72FcuwY2rx5Iq6oalXMokUjZGTL4RC76Vy5sC1ciH3CBOS71HamqhIY\nOBCzbFmRsblunYhRKllSxCgVKoSZMydmuXLCf8s0IBgS0VDXrqGcS0E6fQq9dm2MylVxjB6J+vNP\n0TmkuXLhnzYDZfs27GNHRyeG5MqFb9Y8tDkzUHftxExKwixUCLNAIcKPPAoFCiKlnBU8H58P+cJ5\nzAIFkW7fxNmnW9S1/J90QrJ0HNMmRr1Gf6t2SP7bOJYIIYMpyxiP/otA43ewypZHPn0S+cQxtLnT\nUE8ew8yTj0Cfobg6xYKWtLmrcbd9EykQ3cE2c+cj0KE3rgGx49TQY89hFU7CvjRWJapXqYNeqz6O\nOaNj1kT6x3zcveJ3+LwD5+Cc1Av5Six/DcA7YinuT+Nn6pqAf/AC3L2ytlNJG7UcT6esO3eB11sh\nX76Atu6ruOv+5u3QX3gD27fzcNzDt8/fchDal7NRzmWdnW15suPtPQNPB5HpG675CMH32uMe8R5S\nWiZ40ItXJPTch1Gj1Hhl2jTSZm/E1bsZasqxex4LEGjeDa6moj/yNO7ebyGF4mcmgwBOvmFLIZSG\nbe0KtI3fxhwTfPFtjNIVcU28yyRas+MdtUxE/t0QmxXLpuEduQz79CEoZ49jZk8k0P0zXB+9TKh5\nB/QHHsTKUwCzeBlIuw1Xr6IcOohtzSrIkZNQozew8hdA8nqx0i2z7DNnoC1fLtIvihUT3beaD2Lm\nzi2+P7KJcTIeD/ZJk9C++CLausThEDYytWsT/PhjAbzSN27SrVsoe/cKQLR9O7KuY7pcBEaMwMqX\nD23uXGFPk25DY6bb0OB0YmbLJjalCQnYp05Fmz8/yoYmo0KPPkqwWzeUvXuRL10S4PAO8Zt85Qry\nnj2iI1mpEtrq1WKkfQe/OQMc6jVrEuzSRfAFw2Exis0Ah8nJ2DZvRj55EqNyZYL9+yOfOoV96FCh\nNna5Mg2oq1bFzJ1bRNfpOtjtIrrut9/EWPkOA2pLUQi1bInetClWhQrId9GM4pVhGKxYsYLp06fz\n+OOP06lTJ3Lnzv2X592v/3rdB4D/YP2784D/3RUOhyPB3Yqi0KtXL+bOnRvh/EmSRLt27RgxYsS/\n5flM08QIhUS3b9s27KNGId2+jVGypODcVKwoXO2zZRM7T01DungRx6hRIjD9rlFk+JFHCHbsiHz+\nPNr06eLcypXFeCWde2N6POK/s2dH/flntHnzkA8ciPIqM/PlwzdmDFI4hH3ESNTDQvRiAWTPjpkr\nF8E2H2FWrIi6/leRBJItQYBOVRVWHNWqIaecFTYOpolkRa6AUao08s0byBcuQDAgFMuXLsHF84Ra\ntkb7YS3a3FnCuDa9Au+3wipdEkfvblGjoHCdeoTefBt35zbR722ORLwzF6Ju3YBZ9UHQdZEykrwd\n/dVGuJu9HPNj7p29DGef9siXLkQ9rpd7gHCjt3AOj+34ekdMxz5jJOrpWDDhnbQCV68WUcKTyNqo\n+ThHd0G+dilmLVT/Waz8hbB/GWtCDZA2ZjmervEBmpmnIMGm7XFO+DTuerjWE5hFy2FfNjn++Tnz\nEGjRHdeoznHXAdLGr8LdITYGL+qYCSuQr1zAyu7BOeVT5NQ4I/CBS+Py9e6sQLNOqDu2oe7amnmP\nBZLwDpqKa0I7lPOCyuDr8BmOSf0j4Cmr0ouVJdjsU6y8+XGM74R6+lCWx1oON97Bi/G0folwhRqE\nWnbG1bd5lp1TgECTdgSffpOE1s8j37oe9xh/m35IV8/hWBX9+ZqJefENnIt9Qjf0pxpjJpXCUjQs\nTw4k700k08LS7FjubMgpx0FRsVwJcPUKRp1HQNUgFBJ/56fPCMrFrVto8+YJEUWtWhgPPYSZS4A9\nyetD2bwZ6dhR9HfeFZ6eu3ahfbMWo2wZAQzz5o2ISaRLlwQgql1bdPEmTULdseOO+0/EKF0as2ZN\nwg89hFmqlNg8KoroGiYni5HwoUORjaJetSrBvn2RUlKwT5yIlZAgFLoPPCB89TLsV1QVM39+1IMH\ncXboEJUHHHl+VcU/dixW0aIoycmCBpOQEFFHy1euoOzejbx/P8GWLZHDYeyjRqEezBQhZYBDo3x5\nwo0aYZQsKb6nFAUJBOcwOVkAu3QaTahtW/Qnn8S2Zg3avHngcAhwXamSSCfJmxcSEjALFhTvRfny\nSHeZOMercDjM4sWLmTt3Ls8++yzt2rX72xn19+u/V/dVwP9g/Sd2/e6sjHH0pUuXaNSoEceOZf6o\nS5JEy5Yt/8fgLzLmvXoV6+RJQaZOTkb+7TcRf3TzJurOnag7d6I/+KAwCE1NxT54MHJKiiAi16hB\nuFEjQW52uQQ4dDiQbt4U/mAbNmSCw40bAcS1evRAOXMG7bPPkBDh5/pzz2G2bi3GHXnzCv6Kw4Fy\n7BjygQMiZN40kI8eFVFMzzxDuGlTbCtW4Py0a4w5cOiFFwi1/BBH395oP/4QtWa6XPjmzEVbswr7\nhLFRQM7MkQPfvIU4Rg7BtmVT1HmBlm2wShSPAX9mYi6CHbrh7NuFQNMWGNVrYeXNhxUMYSUlYdvw\nC+qmjaifjY8oer0TpuEYPTAG/OkPVEE+eyoG/AEEuw7A+WkWo8zsOeKCPxMg6I8L/ixFxXIngM2O\nUbSMELo4HFhOD5YnG8HGrdDWrSL0yPNIvjSkYEBk/YaCWLKKfONalikXwcYfY/thSZwVUaGXW+Ac\n1SnL9cCbbdG+zfp8U5aRbt+8J/jTK9VC/TMZx7ThmPkK4R84FfnoDhwLRkTAk5mrAJL/rzNQ9Up1\ncMwcG/WYfOEs7o8a4v1sGfblY7Ht2YSRu/Bfgj+AUPOuOAd3gqAP35RVOCb3QM0iTSXQoif2zwcC\nYDuwA2vJdPx9ZuAc8F7cpBKjYDGMao+R0PoVvCMW4u7cKCrXOaMcUwbgGzCD8Jkj2HZsjDxu5sgN\nkoSvxzRc3VpgOykU4JbLg3fMPLRJw7HtTcbMmQvfiFko+/dgVKiEWawU8qljWLnygG5iZcuBUbEi\n3L6Ncvo0eplShBo2xMqTV4DDffuxSpTAyp4D4+H6SBXKg2mI0W/NmoTcLtTvf8DesweyZWHmyEGg\ndx9hGH3hAsru3ZiFCxPs1ImA04nk8wnj5U2bMHLlQn/qKZSjR3F17Ih86ZLg/xYqhFG+PPorr4jO\nWfnyYJrgciEnJwtfv2AQ5dixiIDDBELt2qE/8QTa2rXIO3ZgVqsmRtN3jFJJSxPJGjly4Bg0CO2n\nWOW5JUkYdeviHzwY+cEHkW/fxnK78ffvH8kJV/bsQd26FaNAAUItW6Ju347ro48y+YKqGgGHoaZN\n0V96SYx+JQnJ78eoWpWgYYgO6IEDaAcOYK1ZQ7BTJ/QXXxTA728IBgOBAAsXLmT+/Pm89tpr/Pjj\nj2TLdu/Enfv176n7HcB/sP4necD/G2WaJhMmTGDQoEFRAd02m43WrVszatSo//a1M3J5zaNHxS57\n9GjUgwczydQPPCDGMQULYlaqFIl0UjdsQP3lF/GlcutW5r0mJeEfPBhUFe2LL1D27MEoUSJTpZYe\ndm7lz4/ldCKFw9jHjUP95Zcovg9AuF49gl27ohw7hn3kSKTUVKy8ecUYpVQpYar65JNgmUhXrwlh\nh6KIkYnPh3TtKlZqKsaTDVDOnMY+YTzy+Qtw6UIEiAZffY3w281xduuMciJagBKuWo1AvwG42rZG\nuSDGmqYsQ86cBN5riVH/EWwb1mEUKYaVJx+WqghtSc6cKMePIp87h7rjD5T9e5HOp+CbOA1t7Sps\nP38X/TwP1kF/tRHOvrHdrbSFX+H+qCmSN/oH28xfiECHHrj6xPLUgq80Absd+5dCbGG5PJgFCmMk\nlSD00puQOx9yykmRmKKKBBUUBSshJ1LQJ+xv/F4kbxrS7VtIt2+BL43QG+9hnzcZy+UGt0eoNl1u\ncLoJVa+NfPuGiBU1jXQxTRApFEC6egG9+sOC/5dyPC5I8Y5cjjuL7iHA7TFf4unYMO65AIHX3kdO\nTUX7KTbSLvJejlmMq9/HIt4tvUKPPUvonY+xfzkJ27bvCDTrjrrpB9TD8X0KAfSkUgTf6oK7f+u4\n6ybgGzEPSdJR9ibjWB6rpo46PmcefF0n4WkvxsmmLOObtgbHzAGoB6OFI2a2nPh7zcL9cXSGcejJ\nl9EffRrn8I+iffYUBe/Ilbg6NEP2pWEUSMI3eBru9q/FVUFbiop3zFKcYzoiX71IoM0AzNyFcfZo\niVm8HIEuQ3C1eTVC3bBsGr5Rc7Ct/AJtww9YNg3/4MnIO/9AW7sM/5DJGAUKQ/accOum4PhZ6ZuE\nmzeQJBkzMZcQXhzcj1G1msirVW3CEHnJYpSTJ0XGcNlyhF56ifBrDZGuXxeirtRU1G++Qfv+eyG4\nuKOMQoWEDYrHg3TuXGYahiwjZSSTrF8PV64ITvJDD2H76Se0GTPAskS37A4xieXxYBUtimWzIV28\niH3WLME3vMvg3kxMxD96NNhs2BYtwipePKLQzeBJSzdvIp07h16zJsrhwzgHD47EzUU+i3SAGmjb\nFuPBB5FPnMBK5wtisyFfvoyyezfq1q1I+/cLf8EyZdBmz8b23XeCL6iqmElJIlmkWjXMdK9ByTCQ\nS5ZE+hupVT6fj7lz57Js2TKaNGlCq1atooSI9+ufr/sA8B+uvxMH939RW7du5cMPP4zq+gHkzZuX\nFStWUKtWrf/yNSPdvhs34NAh8PnEOPTaNRFyvmUL8q5dyIBRvDiBgQNBltHmz0f94QdwuwVfpmpV\nzMqVo2KbLJcLdd06bN98g/L771FcQdPjITBsGFb+/KgrVmD75Rfx5VSpkhit5MwpfLoKFxZ2DJKE\nbelSbL/9JqKT7gDpwaZNCTdpgu3779FmTI8SalgIywf/pEnI58+jrl0rrGkSE8WPS0ICZo6cmBUr\nIh89AsEgVkYXWJJAkjBLlxZfyDdSBU/HMMS4Vtcxaj6IvHcP6uZNKCdPIF++iHT5MpZl4V36Ja7O\nn6CcjBacBD78CBI8OCaMjHrclGV8S7/C/U7DmO5f8PlXsYoVwzEtVlThnbwQ57BuSBfPYeVIxCxc\nFLNUBYyyFdHrPIp87rTgVyk2CAaRz55BObiP0GtNcL/fMIbDCZA2bzXu1rEm0wD+9r1Q92zHtjG+\nf553xkrcLWNVsyZgPlAdf5f+KGdPYiYVQQoHkHxpyCcOoO7cgHTjGqE32+IcEz8ezVRV/D2m4O7f\nMu46pI9/OzXJkgtnAv5Ri3B3bBp3Ldh1qOCrOlwx5s93l7/zWOwzxiBfPnfP4259sQ7l0C5cE7rF\neFneWb72I9EWTo/q2JqyjHfylzgXjET9M3PM7Os8AW3u56hxkliCrzTHrFAJ5/jMCDx/m4Eof2xH\n+zXTlsgoUhJfn4m4278c1z7G8mTHO3Yp6Dr2KSOxbc/sBuolyhLoMw5Xm0zrGEuW8Q+ehrJtPfbV\nC7GAwCe9sBLz4uzbnlDzj9DrP4n61QrCb76Lka8AEhKWNw3JtJAOHkQ9dRKzbFkstwd1w3q0hQvQ\ny5Qh3OYT9IoVkdO8AnilpWHv1w/bls1gWcIjr3IV9PoPYRYuDG6P4A1mmE/37Yv2Q3TH37LZhIDt\n4YcJfvKJAI6mKTpmXi/yvn3YNm7M5AvmyIF/1CjweIQYIzk5Yt9iVKmClTs3ltOZblOVIPiCU6ag\nLV0atTnOqPBDDwn7lT//FNOTcuUEuMwAh6mpKHv3YmbPjlG1Kra1a7HPnh3NF0y3wtErViTQp4/4\nrvKK9ygCDnftimQSS9mz4+/Zk/Djj2OVKoWsKMiyjJTuJRivbt++zezZs1m1ahXNmzfn/fffj7Eg\nu1//O3UfAP7D9Z8GAI8fP87bb7/N7t27o1JKZFmmQYMGrFy58r/s85dhzmmdPIm8dy+2iRNRt20T\nO0XAypcPo2xZ9Jo10V99VYCeYBBJ15GPHo3x1jJdLgIDBmCVKIH6009oc+ZguVyZvlQVKgi+X6FC\nYvftdgtfqsWLhS/VHYDOVFWC/foJ/t7XX6MtWSK+3IsXF3mWpUphZMuGWb686ELa7ZHYImX/fuS9\nfwrui6riHz8eErLhGNg/riG1v2dvzIoVcPTojnL2LrPlHDnwzZ6L7es12OfNiV4DfF8sQv3lRxzz\n50avaRre5atxdWkb20msVpNQy1a42rWMGY96J0zHvmQO6h+/xdxn2qKvcH3wOmaJMhgVq4qxWsGi\nWJ4ErJyJwgZGtSHdvo18/BjKnp2YibkhTy4ck2KNVwNvNEfSVOyLYm1h9HIPEG74Js5hvWLWIF1s\n8t4rcce7oX+9iFUgCfu8+Pw97/Cp2GeMQz2eGWtnAmaVmoSffJ7wY08h3byOcuEUtk3foCZvFKPl\njPt+rSXylUto6+OLO0xZxj9wDu7u78RdBwi+0BQsGfuaBVkeE6rzOIGOA7Elr8Mxc3DccbIlSXjH\nrMLz0b2tWoykEgQ+7I3tm2WEmn2Aa/CHyDdj+WGW3UnakEUktIkFnUIdvBJt5edoyb9i5i6Ir/1Y\nPB2zzlEONGuLlScXzmn90SvVIfBSSzzdY2kCeqkKBD4diavtS1E8W4DwI88TfO0DLJsdd/cPkC9H\ni3qMQkXxD56Kq/2bEasgCwj0HI10IQXHrPEAhJ5tSPjlpjhbv4FVuCj+vmPRFszELFmGcL3HkQ8e\nwKpUGTMxD/KxI1j5CmAlJCAfP4ak65g5cmIlJgoANHE8uFzotetgPPIIZp68WB4P0pWrYlN66SLh\njz5CQkLdsB513TrRvatVW3Du3G7BVT5/HunMGcx69ZAvXEAbNw71jmhJM2dOjDJlBF/w4YexiheH\n1FSRZ3zsGMqOHaLrl049gfQEjb59kc+exT5+PGTLJjbHd4hJLIdDdOPy5UM9ehRn+/bCkirOZx4Y\nMgSzShWU7dux8uSJckaQrl1D2bMHedcuQs2aIXk8YoKSnNkpjvgklilD+PHHCTdtinH7NqG8eeP+\nxqWmptKlSxdKlixJ6dKlKViwIFu3bmXz5s20bNmS5s2bZ5k+db/+d+o+APyH6+44uP+rOn78OK1a\nteL333+PEabkyJGDwYMH06JFC5S/0bqHuyxcDh1CyrAd0AQxWzlwQORwbtkCTif+oUMhMRF1zRq0\npUuRdD2TY1Kpkgg5r1EDEhOF7YCuo2zbJpRld4yDTSD0wQfoL76I8uef2MeNA1kWat5q1SK+VGau\nXFi5ckUyPbUFC0Sm5x02DJHA96pV0ZYuxbZ0qXhtefIIhW6pUujlyqG/+qrwDgsEREdPVYTI4/o1\n5JQUrGAQ4/kXsC1dgjZ9KvJdXZnQq68SatYcZ8d2KCnRaRRmtmx45y/GOWIw6rZosGZqGt5lq3B+\n2hH1WHRChpkzEe/0OXjeaRRlPG2qKqEGzxJ+9wNsG37GLFYSM09+sDsgHMIsUAjl9EnBjUo5g3zo\nAMqJY8jnUvDOWoir7fvI16J/QEzAt/Rr3G+/ErfjlLbwK9zvvhKlnswo7+yVODu/j3wz1qIl9Pgz\nmCXL4Jg9MWYNIG3Watwfxe8cmoB/6nLcrbMe76ZNX4Hnw9cx3QmEGr2DXv8xMEPCU3HdlwTe74G7\n65tZdvcCLzVH9gXQvl+W9XN8tgp3+6w7hADez5bj7NYS/YFqhFp3xr70M2y/RXePwrUbYJSuiWPm\nva1afH0n4xjdD/n6Fcw8BfCNmYVjaj/UA9F2Q4HmXcW49Pf1ca8jPP+Won07l/Bjr+Ec0zuuQCfq\nudv0QlIs9Mr1cLeMBXgZpVesTqBdfwEC0x8LPdOYcP0XcHdojpk9J75x83AM64J6Ivrv2shXEP/w\nWbg6N0e+nmk14m/bB1QbzjF9xXOUq0yg+3BcHVogpV4l0HkgZp58OPt2JvDpQMycubGtWo7+amMI\nh1C//x7j8Scwc+dF2b5N2JU89BD6Y09gJiYiBYKoX65A3bqVUIv3MerXR7p1C+nGjUzjaa8XZctm\nwc87J7q0psdDsHcfjHLlUHbsEDZT+fMLcOZ0iq5bcrIwRC5ShHDr1iiHDmEfMwb5yhUBqgoXxihX\nDr1GDUGPKVNG+Pq5XMJ2Zf16AQ4vRX8+gffeQ3/lFWw//YSydasYKVeoIMQk6eCQW7dEZGbevGhj\nx6KtWhXrLwgY5cvjHzcO+do1MQZPp9SILGYBDtXffkM6f55Anz4Ea9cm+BeWLNu3b+eVV2I3NE6n\nk5IlS7J48WIeeOCBe17jfv2zdR8A/sP1fw0AN2/eTMeOHTlw4EBMFJ3L5aJx48YMGDAAm81GtmzZ\nUNV764Iyun1mSgry/v1o06ej/vhjFIfKSkjAKFlSALUaNYTtQProVbp6VYwQNm1C3iuyazOIz8qu\nXdgnTkROTRUijYxxcJUqgitYqpToHFqWiILatCmm4xeuX59g587I585hHz0a6eZNwbmpUkV8OSYm\nClf7woVBVcUod/Vqkf6xb1/kB8tUVTFWLloU7bOJ2DZvjn4fbDaM6tUJDBqEsmsX8smT6Zm/uYQ5\nrM0mrBOKFkNKvS4UvpIEsowlScLrD6BYMaQTx5Fv3xZcw4zII0nCrFwF+cI5CATAponRq2VhyTJS\nrlxw+bKwjQmHQQ+LNANNwypcGG3pIuSTx5EvXkC+dAnJm0a4/iOEX34NV/cOMZ9r4MNPkEIB7F/E\nKnH93fqi7tuF7YevY89r9gGSEcK+7IuYNTNfAQIde+PqGT+/N23OPQBe3gIE2vbA1add3HODrwlb\nF/uX8TtvwWcbYuXMiWNR7OsxCyQRaN4KvdZDKOdOYvt1NbZN38V05rzjv8TVuWnc+wMwNQf+3p/j\n7vlB3HUA0+HE328S7i7CQ9AEgt2HYRYuhHNC1wjo8vafg7Nvqxj7ojvLcmfDN2QO7taZI3FTlvFN\nWIBt13rsXwoLGkuW8Y5ehafVy1leK6PSPluG5XCS0OrFvzwW4Pb0b7H8ATyfvBY39zWj9Or1CL7f\nGWfHhoRffQ/9gTq4P/0w87U43fjGf4E2fSS23dHJOmZibnyj5+Hq1TpiSg4Q+LgXeuVaKCePYCZk\nx8qZGytHLvClId9MxcxXEEuzo5w9LdI4KlVDOnQA+dgRzHoPgz+AumQhVpGi6E89I6gXly4JQGQY\nSH6/oG0kJiKFdZRNG9GWLolw6MzcuUX826OPoT/xpAD9TifyocNos2ejbNoUNfq2ALNwYfwjRkCu\nXIIvmO7th64jHz6MbdMmlM2bIRAg2Lo1xrPPoq5bh32qiF2MqGurVYuY3ZtJSaJrd/WqUCZv2hQz\nEjYdDuH1lzcvtiVLxBSmfPlYvuCxYxi1aiFfvYpj0CCUk9EWRRZgFShA+MknCfbujaQoyAUKRGJO\nDcMQjYC7/rEsi6VLl9KxY8cs/0ZSUlIoVKjQPf6K7tc/XfcB4D9cuq5nmQH8T9asWbMYM2YMJ0+e\njGnPa5pGgwYNmD9/fpRVjcfjQYsj1490+wIBOHIEedcuAWTSTZolSUI6eRJ12zaU338n9PHHIodz\nwwbsM2ZE7E0yvkyMcuUIP/00+tNPC56MzYYUCCCdOCEI1HfsdsP16xPq1Anp8mW0CRNQDh7ESkyM\nqION9KB2s2xZMVq22bB9+SW2X3+NBL1nlFGiBP6hQ5F8PuzjxqEcOSL8+EqXFnzBokXFtUqVEvYS\noVC6jcI+1D17kPfuFdydbNnwfz4JKe02jn59445cAh06oteti6N3L9Rjsbwq78hR4HTiHDpEeA6m\ncwSRZIwypQl27Y6jdw/kcylIgSAEAxAOY3k8+BYvx9m5Hcpd1zVdLryLV+D+oFmMbYSZkA3vrPl4\nmr+OdFcH2MyRiG/CFNwt3ojpDpguF77Jc/G83zjmNQCkLVgjun/xBBiTF+Ac0h35QkrMmlkoiWCr\nTjj7x/+B8I6bg2PsAJSzp+I/7+zVuD98PSalJKNuz1qNp3V8s2oAf7fBqOu+R9m5jVCT99GfegbJ\nexPbujXYNq3FCofwD/kC96fN454P4G/dG3X7JmzbN2R5jK/rcLS1X6Lu2R71uJk7H/5hU1AObce+\nbDK+/nNxt30ti6ukP1+b3th+/h51b2zyh/+TnliFCuAc3RpSQZAAACAASURBVJHQvxpj4cSxYtY9\nrwfgHbcYrlxFvn0Fx6SBWaaOgIjyCz/yArZf1hJ852Pc7V6Py/XLPP4Jgh92Qz5yEPeA2M9ZCD1m\nY/tmMdqva6PWzGw58I2dj2N8P4xqddFrPIQlyajbtqA/+Syuji2RL57DkiSCLdtj1H0EZ7sPkLy3\nCX7UGb1WPbTZ00HTCL/6OmauPNhWr8TKlRujek0suxP7zGlIV66gv/gSZuEioOvYFi9C/W4tksuF\n/mAt9KefwSxYSJjQh3WsHNmRz19A+/orbF+nRzuWLoNery5G5SpY2bNhOV3iOzcxUfAdhw/Htm5d\ntIjG7cYsVYpQ7dqEW7US1iumKTjTGakkmzcLyyrENCAwbBhWkSLCX3Djxlh/QZcL0+0Wtlc5c6LN\nmIE2a1ZcXq5esiSBceOQU1JQDhyIEtJhtyNdvy5Gwvv3o7dogVmzJlKhQn/L2eLChQtMnTqV06dP\nU65cOQzD4MyZMxw7doyjR49y7do1nE4naWlp/1HBCP9/rPsA8B+u/00A6PV66dSpE19//TXX4/hG\nORwO6tevz7Rp0yI7r7S0tIhS2e12R3EyMnZ4xuXLyAcPos2bh23lypgxoKVphF56iVC7dgLQhUKZ\n7u8+H/K+faJb9/vvhF95hXCzZsgnTuAYPz6isLNstoibvv7gg+hPPYV07ZoAh1euCMPV9JFyxhea\nmS8f/mHDwOlEW7hQiDLy5sUoXVqMQ9L9AM2iRYVfn8sleIDffy/A4R0/XmauXPjHjAFZxj5hAuqO\nHWK3XbiwuK8KFTDKlhWqufPn07t1hiB3n01BPnwQZf8BTMsi1K8ftuXL0BbMjwVUSUl4P5+CfeZ0\ntG9iuWfBJm+iP/c8ro9aRewYIufmTMT3xUKcn3yIcvauUTLgW70WZ5e2MUIRgNvL1uDq8gnKubMx\na2nzV+Ds0QHlfCxQS5s8F8fnI1APH4xZC7Rog+S9hX3lwpg10+3BP3wS7vbx+XPeSQtwDvkU+WKs\n4MEE/FOW4G4Tn5NmJBUl+M4nuAZ3jbtuFkoi8EFHXAOytn/xzvgS1/uvRdvsyDKhN95Ff/pFcDpQ\njuzDMbZ7lkKLtM9X427zapYKYgDv5ytxt8o6+i30r5cJftQVdd3XOGdmbblkKQreCV/i+SDrrl64\nzqMEP+wIkoTnw7/u/oXrPYX+4OM4h/ck8EYLjHqP4OrfOu4427I78U5Yjqu5iHbTyz6Av9dI3F2a\nxeUgAoSebUTwqYbg8uD+pElcixhLlvENnoyyexuOlXMzH3e68fcYiVGiPMr2rbiG946smTkT8Q+b\nhLJ5HY75IqfaKFCIwICxKNu34pg2ASshO/7u/bHy5MPZ6ROsHNkJtv8UK1du7EP6I6fdJvh+a4wy\nZVGOHME+cjgoMuHnX0J/+BHMxETk66mYDjuSTUO+chX1px9FRm6NGljZsmM5HcjHjglh2qZNIMsE\nu3TBqF1HUGB+/AGjZk2MUqUjecRSMIi6axfSnj2EmjdHtizskyejbtsmXrckYRUsiFG+PEbNmugV\nKghz+vQOn7Jrl9gkb9wYlcZhFiokBCWBAPbx47E0TVBi0r1VIxYyoRBmUhLy5cs427RBuRBrA2UB\neoMGBIYMwcqdGyVfvr8F/M6ePcvYsWM5cuQInTt35vnnn497XmpqKufOnbs//v0PqPsA8B8uwzAi\nxsr/VCUnJ9O1a1d27twZSfC4sxISEnj++eeZNGlSjMze6/VGznG5XDgcDtHtC4WwjhwRweP794vx\nQUKCyJ602ZAuXED+4w+sYsUEsTg5Gfvnn8dYrpg5cqBXq0ZwwACkmzfh5s1IXq904YLguGzciHri\nBHqJEgQHDQLLErvcn38WQpLs2TFKlBC2MZUqYVSuLACdqgpLlA0bBE9wz57MOLeMzOAHH0T99Vfs\nM2aI62RwBcuWFbmY+fODxyPyPDdtQlu7VqiM77Sg8XjwTxgPmoZ95EjUfSLuygKR31mwIHr16oQ+\n+gj58BEIBUFLHwPbbOK1Gjqmw4lVuDD2L+aiHDyIlHIG+dSpCKD1jRqD5PXiGNA3FjjmL4Bv+kxc\nLVsgX4k1GfYuXoF9/CjU5N9j1nxDx6Bu34L2dayVSfCNZli5c+OYMj5mzShanEDbLrg/zWKEO381\n7hbxAZB3xGTsX0xBPbg3Zs3UNPxjZ+FuFz/5I/BeO+Rzp9F+WBP/eSfMwzW0B/KlLJJBJs7HOaxH\n3M4jQPClN8CVgD3OeDijbs1dg7bhJ/THGiBfOI22aBLqqUy+mpkviWDzDjiHZW0gHXr4GawipbDP\nzTpT15RlvJ8vRbmYgpUzO86x3ePmKAeffxNLduBYPifOVTIr8EITQu98jHP2aGw/x3//IF10Mnk1\nrndfjoxyw5VqEOjcF3ffljH34Os1EduiOdj2Z9rYmLnz4Rs9C8fwTqgno7l8etU6BN7pgKdVE4zC\nRfANnYxzcKcYzh+kx8B1H4508zqO6SMJNn4fvcHLOIb1QTnwJ4GOfUTudcf3I/dqAcEPO6DXrIfr\n42bIoRAWEHqzBeFnX8XV9WPk82cxChch0HMw0o0bOLp3gGzZCbbrilG+Itrsaag7kgk2e5dwozdF\ntq5loVw4j3zhIsrOZMwixURSUEIC8omTaIsWou4UZtCWLGOUKUOwZy/MUqWRrlzBcruRDx/C9ss6\n1B9/ENSOOz/HN98k1OI95OPCtihDpSuZJvLhw2KjvHEjZlISwSFDkG7cQBs5EvXYMWFZU6yYiGqr\nXh0znauc8f2lbtyIbe1aYZp/V6pIuF49kShy4ADqN99k8qXv6vrJBw5g1q+PVbUqUu7cfwv4nThx\ngjFjxpCSkkK3bt1o0KDBf7wH7v0SdR8A/sP1T6WBhMNhRo8ezezZs0lJSYmrwsqXLx9NmzZl4MCB\nWSp7fT4fgXQAIkkSms+HkpqKfe5c7NOnRwkMMsooVUqEgwcCyEeOYBYokEk6NgyUw4dRt2wR3cM2\nbZCuXUObNAl1z57INSxZxkpKQq9YkdBHH4kQ8atXwWaDQADlyJHM/M1bt4Sat3dvjCpVUDduxD5t\nGvh8WPnzi85cjRqYpUph5ssnHOglCfnqVdSVK8Uo5Q51HUDouecIffihIGSPHg2mGc0VzJkTK1cu\nzHz5hP3BkSOov/yMmrwDef++TKCZkID/s8+RgkEc/fuJUc7dn1XdegR79sS2dAnqvr2YufMIS5r8\n+bHy5MHIlx+rWDGkM6fFj4KiCF+z9H9bdg0rTz6U40fh5k2kgB/J54e0W0i3bqM/+yzy6VOo69eJ\n0XU4KGLsQiHCFR7AfORR7ONHgiVGTBiG8CPTNIJDRuPq8nGEe3hneUdPwjXwU+TU65nnmQYYJv63\n3kO5dA7H6lgTZVOW8U1ZhCeLDp6/+xDU9d9h27457nra7NW4P3gtrqhEcN6+wNM2frSbKcv4P1uA\n++NYW5bM66/B3TJ2FJ5R4Rp10R96Auf4IeKaefLh79of8uZG2bkF+8rZ+LqOxD5jdFxT7MjzTF6F\nu23TmDi9O8vfoR/q71uxbfwJM28B/CMmoRz4A/usUVEJHN7xK3C2fv2evDsL8E5fg+udlwn0GQEJ\nLpzDu8Tt6AWbtIJbPuwr50c9bubMhXfiFzg/64e6X4yaww8+Quhfb+DuFbsRsFxufGPmYFs2HW3r\nz0C6mrffJFzNXsgEbC433tEz0dYuQ/thVdz79/UejV6tDral83HOj44TDNeuT6BdD1zdPxIcv/TS\ny5Qn0Hck9vHDsP2xNf01JOIfNA7p1Ekcc6ZiFC1O+M130es/jnXtKsrZMxHurJVXpGc4xoxE2f47\nRpmyhBs2xixUCOnWLexTpqDuTBac3NJlCD//AnqlylglSmJZFpKqYps+HfvSJSKHWJKwihQhXKsW\nRu06mLlziW5h9uwijWjDBhw9e8aMZS2nE7NUKYKtWqFXrSocETRNiEEuXkT54w+x0U1P44gAuiNH\nsA8fLmyk0jfJEesrp1OI4RISxPfTgAEoGzfGHduHH3uMYL9+WMWLI/9N4Hf48GHGjBnD9evX6d69\nO4888shfnnO//rPqPgD8h+vfDQBPnz5Nu3bt2LJlSyTH985SFIVy5crRv39/Xnzxr4ndfr+fgM+H\nPSUF29692OfPjwSC36kmk65eRQoEMMuWRd69G+e4cXHBjpkjB/6RI7GKFEE+eTI98cGZaTWwcyfq\nxo1CTTZ4MOTJI5TBS5ZE+FyWy4VZsiR6tWroDRpgVKiAdOkS2O2Cs7J7twB1O3dGgFjoqadEB+7s\nWexjxyKfPSvUdRUrolevjlW4MKbHg1msmOhgBoNoM2cKruBd41S9TBmx+752Dfvw4cjnzwuuYKlS\n4n0pVkzkBpcsKUQpaWnIBw+g7NuHunu3EJPousj/nTwF5egRHEMGI8Xh4vh79sIsVx5n5w7xuYTd\numOWKoWjZ3rUmd2B5XSA3SHscgYPxfbtWuQTx0VnVdNE11HTMKpUw8yfD/W3rZkcQ1nwDE1ZQX/2\nOWw//wBGLNDSH34U5fQJpPPnQFJAkYUfYzr30yxfAWX/XixVFWBVksW/ZRmjYiWkm6lIt26k85rS\nvQ4NHUsPY1Z9EO2b5UjnTqOknEG6fgX5+jW4fROjQhXCz76Kc0z/+H+vrTqjHD2Iti42dxYg0KYb\nyqE/sf36fdx1vUwFwq82wzmsZ9x1SBentHkLyeeNWQs99BihDz7BypMXx5heqH9sisubM3PkItB+\nIK7e8bunkD62n7YK93uvRl0j1OAFQi1aYV8wEdvWn9ArPUjo6Sa4BmfdbQQIvvwWljMbjnnCIDpc\npSbBbv1xjO2Jejgz/cNyOEkbu4SEFvHHxALAL8G2/iu0H1bgnbASV/PnswSflqLgHzwJ+eBO7GuX\n4h23GNcHryPflXxiSRKBXiMg6Mc5rl/UWqjBiwQbv4+29AtCb76Hu2urGHqAlS073uGTUbf8i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34pyQY5ljFS6Cr99QbMD1fsfwKMiChfD1+RDbHYU+ZRyB19pjxwlET9n3O8EmjwPgHD4Udb94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\nZBCBZs9iPPwIdnQU6jfL0D+fnxM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v3QuGgVG/Pmp6uhhD35aIYgN24cL43nkHs2FD5KNH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EuSGVQHzggQcwceJEyLKMhoYGPPnkk5g5c6atq5iLTeLsX6mNn5AMuYrZDEX0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bb3/4r7+peQZ18ds61t0ZO4LvgbqXNr2viOuxTD1hF8BrZX7whda/Wf56N2GYJUuAm1XcffjBcw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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -773,7 +776,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "This is a plot of multivariate Gaussian with a mean of $\\mu=[\\begin{smallmatrix}2\\\\17\\end{smallmatrix}]$ and a covariance of $\\Sigma=[\\begin{smallmatrix}10&0\\\\0&4\\end{smallmatrix}]$. The three dimensional shape shows the probability density for any value of ($X, Y$) in the z-axis. I have projected the variance for x and y onto the walls of the chart - you can see that they take on the Gaussian bell curve shape. The curve for $X$ is wider than the curve for $Y$, which is explained by $\\sigma_x^2=10$ and $\\sigma_y^2=4$. The highest point of the 3D surface is at the the means for $X$ and $Y$. \n", + "This is a plot of multivariate Gaussian with a mean of $\\mu=[\\begin{smallmatrix}2\\\\17\\end{smallmatrix}]$ and a covariance of $\\Sigma=[\\begin{smallmatrix}10&0\\\\0&4\\end{smallmatrix}]$. The three dimensional shape shows the probability density for any value of $(X, Y)$ in the z-axis. I have projected the variance for x and y onto the walls of the chart - you can see that they take on the Gaussian bell curve shape. The curve for $X$ is wider than the curve for $Y$, which is explained by $\\sigma_x^2=10$ and $\\sigma_y^2=4$. The highest point of the 3D surface is at the the means for $X$ and $Y$. \n", "\n", "All multivariate Gaussians have this shape. If we think of this as the Gaussian for the position of a dog, the z-value at each point of ($X, Y$) is the probability density of the dog being at that position. Strictly speaking this is the *joint probability density function*, which I will define soon. So, the dog has the highest probability of being near (2, 17), a modest probability of being near (5, 14), and a very low probability of being near (10, 10). As with the univariate case this is a *probability density*, not a *probability*. Continuous distributions have an infinite range, and so the probability of being exactly at (2, 17), or any other point, is 0%. We can compute the probability of being within a given range by computing the area under the curve with an integral." ] @@ -782,7 +785,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "FilterPy [2] implements the equation with the function `multivariate_gaussian` in the `filterpy.stats.` module. SciPy's `stats` module implements the multivariate normal equation with `multivariate_normal()`. It implements a 'frozen' form where you set the mean and covariance once, and then calculate the probability for any number of values for x over any arbitrary number of calls. I named my function `multivariate_gaussian()` to ensure it is never confused with the SciPy version.\n", + "FilterPy [2] implements the equation with the function `multivariate_gaussian()` in the `filterpy.stats.` module. SciPy's `stats` module implements the multivariate normal equation with `multivariate_normal()`. It implements a 'frozen' form where you set the mean and covariance once, and then calculate the probability for any number of values for x over any arbitrary number of calls. I named my function `multivariate_gaussian()` to ensure it is never confused with the SciPy version.\n", "\n", "> The tutorial[1] for the `scipy.stats` module explains 'freezing' distributions and other very useful features." ] @@ -892,7 +895,7 @@ "source": [ "It's time to define some terms. The *joint probability*, denoted $P(x,y)$, is the probability of both $x$ and $y$ happening. For example, if you roll two die $P(2,5)$ is the probability of the first die rolling a 2 and the second die rolling a 5. Assuming the die are six sided and fair, the probability $P(2,5) = \\frac{1}{6}\\times \\frac{1}{6}=\\frac{1}{36}$. The 3D chart above shows the *joint probability density function*.\n", "\n", - "The *marginal probability* is the probability of an event happening without regard of any other event. In the chart above the Gaussian curve drawn to the left is the marginal for $Y$. This is the probability for the dog being at any position in $Y$ disregarding the value for $X$. Earlier I wrote \"I have projected the variance for x and y onto the walls of the chart\"; these are the marginal probabilities for $x$ and $y$. " + "The *marginal probability* is the probability of an event happening without regard of any other event. In the chart above the Gaussian curve drawn to the left is the marginal for $Y$. This is the probability for the dog being at any position in $Y$ disregarding the value for $X$. Earlier I wrote \"I have projected the variance for x and y onto the walls of the chart\"; these are the marginal probabilities for $x$ and $y$. Another computational benefit of Gaussians is that the marginal of a multivariate Gaussian is another Gaussian!" ] }, { @@ -912,9 +915,9 @@ "outputs": [ { "data": { - "image/png": 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cXIwePRq5ublITExEx44d8c0336B///7073/88QddPiEhAdu2bcOkSZNw/fXX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Y1OXp5OSgokJ1uEh1vU1jZkDmfOFDgOhIVp6HrDGrt1k+TluYwfL0lOFnz5peC3vw3j7LNtzjxT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\nOXMwcuRITJ48GV988QVUKhWkU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wSiiyEq5C8ZVXXsFbb71Fz0vt2rWxa9cupKSkhLhlQJcuXfDbb7/R73fffTdWrVpl+H6V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BAAAg\nAElEQVQXhIdr1NYK/vY3B7fc4iMpCZKTlRzOwYOC2bNt1q7VCAuT3HCDF00TLF1qMHasTVqayeTJ\nNrt2CVJSFKnVdXj1VQd5eTaXXOKnqMhmwwaNOXNsjhyRzJ5t0tCgzmnePBPbhuXL3YwYIfmf/wkl\nJkZSWGhy4IAqGPn73x1ERkpKSkyysiQ33uhjzRqddescdHQo0nfddX4SEjqIiNDIynKQlmZTXa2z\nbZtBbKykokKQmKhxxRUmISEmY8boPPusg6uv9nP33T6Sk1XRRlmZ0im87jovKSmg64LFi/2Ehqqi\nmuZmycGDNunpPuCEZunu3U727hWkpLjIyfHx0kthx+WOdAxDEBmpiplqasA06ZSeCezvcMDs2aow\nJTwcvvIVE9PklHJmLUuyZ496EYiP/+LkvQUT6r4ErQM5ikCP9mqgtiqw/9nUR5RS8uGHH/LMM89Q\nW1vLzTffzNtvv01kZOSAxxjG6WG4FdwQo78OHmcDwZVh3Y2J3+/n5Zdf5sUXX+yT9Om6Tnp6OgsX\nLuShhx7q0dsXHLY4G56+zxN95fYMtnPBQLBvn5sDBwxmzbKIijpheAMYyDUeDAmXUrJ+vWDlSg23\n22bMGMkll0g0TWDb4PfbNDTAmjWCnTt1Lr/cYsoU2LlTsmyZzuTJNps3GxQV2Vx0kUVLC7zxhs77\n7+tcdJHJ6tUGV13lw7IM5s+32LhREakvfclPZaUgNhZGjpQkJEBtrWDtWg3ThNZWVbiyZ492PLcP\nNm/WCAsT7NwJU6cqvbr6eo3duzXGj1deE8MQ7N4tyMiwmTzZR2mpk3Hj/DQ2Grz4ootrr/Wxc6eB\nZUFamommCSxLkpMjmThRp7nZYuVKja1bdVJSZKfUzIEDGkKoSuyWFsGuXQbjx/v505+cXHCBRWSk\n6i5iGBK3W+n6bdqk87e/OZg71099vUZKiqStTTJqlKS2VhV1zJ5tdRaIxMdbxMaqyuu//MVNcbFJ\nfb2qrk1IsNE0JcMTGqq2GTPGQ0yMxZYtIdTWCr70JQ9r1oRw7JiO0ykZNUp5855+2kVenqSuDvx+\njZkzLRYutDAMAyklTzyh8+c/O/nGN7yMHg1f+pLyCgfSRVau1HjjDZ1Fi3wUFJx4oWxp0dm928Xf\n/ubkqqtUz2evV1JcbBMVpdbeK68IPv7YYNEiX2dR1HvvqbD4FVfYuN09r+tgKZCBYM8eyW9+42D2\nbItrrrHPeVsUbKt7syGDVYg4U/mIA0H3qEdZWRl79+4lPT2drKwskpKSqKur44UXXuCtt95i2rRp\n3HHHHYzrSatqGEOOYQ/gPyn6kpzx+/08++yzvPLKK+zZs6fX8K6maSQlJTF37lz+53/+p0edo7Md\n3j1XcCph5oBH8FQI4q5dOqtXa4wY4cPhOFGYc+iQk+3bnUyf7ic5WfapiTjY3+ToUUFbm2D0aMme\nPYL4eJupU5U3d80ajX/8Q4k733WXlwkTBO3tgp07NQxDYBg2d93lx+1W1ZTR0bBwoWT+fB/Ll2uU\nl2skJQkmTrRZvRp27BAEWmnu2OFgxgyTv/zFwQUX+Fm/3sk3v+mhoUFSUaF62sbFCbZuVYUhSUlK\nwmXcONi8WSctzWLbNnFcnFny3HNu7ruvgzlzLKKiICpKtVIzDBf19YKQEOXV/OwzndJSjVGjNMLD\nJUJARobJ++/DBx+48Hjgkkv8HD4s+MMfnHzjGx6ys218PggNlYSE2NTUaBgG3HabH7db6RkuW+Zk\n8mSLd95R4dzlyx3ceqsPlwsOH1YCzFIKXn1VeTgLC00aG1XO3o4dOtHRGq2tGrNmmdx7rxePB9LT\nNd55R2ffPh2nEzIzbcLDBVu3Cvx+NzExkq1bdfbtExQWOnjhBRcFBTZxcTYjRwpSU/3MnKmj60pv\ncMECL/v3C15/HS68UOltTp4cQmKiRWsr1NdLyspMmpsFiYk+Ojo0MjJs5s2DxESzc30FZIa8Xp3i\nYkluruoQor5XLywHD6r0gauu8rNvn8Z77zl44AEvJSUatbUa8+dbhISc7K2rr1fC2YWFNjk5A1vL\niYlw8cUWOTlD1/LydCHlCe3OvjT7TjWN6HTzEU9F+iaApUuXsmTJki5zcbvdZGVlMXv2bB5//PFB\nncswziyGCeAQYzDSJaeD7hpQ3Q2J1+vlT3/6E0uXLmXfvn1dQsDB0DSNxMRE5syZw09+8pMetY3+\nVUnfYBAcLgnO4+nPmAbL3QRvV1zsYexY/Xi47QQOHNB5912NzExBbGzvv+lgNRGFEMybZ6HrJo88\nEkJKis3UqTa/+Y3O3Ll+li51EBUlmTRJhVs1TYUMX33VwbRpJlu2GMTF2Ywbd0Lr0OWC1laNBQss\npkzxMHKkIgXV1YJ16wwWLvTR1iZISbEZO9bGMEy2bNGZP99HerpqD7d9u8727Tr33+/F64VJkyw2\nbtR5+22dK67wMXKkhWkKpk+3qa3VyMiQ/PCHrWRn2+i6wfPPu1i7VrWNS0mR/N//aRQV2Wzf7uDW\nW72Ulmrs369IRnKyKnB59VUHliUIC1Nkr7xc5+qr/YDggw8cFBTYVFVJoqMlS5c6uPxyyfXXmzQ1\nGbS3K6HomTMl11/vw+2GSZP8OByqpVx9vUZkpM2WLTrf/KaX9naB1wtlZRolJQb//u9efvELF3V1\nGtHRNmvWqDGrq+HrX/fzj3+o65yYCD//uZv77vPy5z+7GT3a5uKL/SxcqHQXJ00y6ejQ2LTJYNYs\nk8hIiyuvbOOTT0IoLXWyebPO0aMCvx/mzVOpB2PGdDBmDHz6qZs333SwYkUILpdk7lydV15xcNdd\nHi65pP04wTDQdZ3qaoPKSiUzdNttvi6daZqbVeFNY6NgzRqDr3zFT26ujRBKb/CWW0z8fiWq3RMO\nHFASSC6XSU7OwGxqVJTgssvOPc/fQLQQz1YV7+noIwb/3ZNdq66uPmmcjo4OSktL+1WJGMbQY5gA\nDjGG0vAEk76e9J/a29t54oknWLZsGZWVlSdJugSgaRrJycnMmTOHH/3oRwMmfedK5di5iO6V1b2R\nvoDXJGDkhRAcPixZvVpjzBjVPcO2bUJC5PEet44uhreoyEtSkkVGRu+CugPJ7empQtAwBKapqlaz\ns23cbpvly3UcDptvftNHU5MSGA4LMzh61Oavf3Vw4YUW+fk2v/udE5/Ppr3dZPp0Fbb78EPByy8r\n4vDiiy6mTrW47jqbmTMlMTEmlgVvv22weLGfceOUTl9jI4SF2ZSUgGkKioosLrnEJCXF5le/cmJZ\nSlbm2mstcnL8bNni4h//cOByCfbsUR1T7rwTdN1Jc7ONYSgJlPZ2wd//7mDBAh/Llzvx+wWzZll8\n9plGfr4q1Ni2zYmUkhkzLKKibDTNprHR4OBBQXa2qkgtL1eh6AkTTD79VOOBBzxUVGh89pnOtdfa\nmKakrs5PebmScXn0UTf33OPl2DHweGDBAj9jx9pcfLFJSYngscfcTJtmMWOGn7w8eOcdB9nZFhdc\noCqENU3S2Ci46CKLXbs0cnKUfEtoqGTMGBunU3LppSaJiSp/8uhRg1//2sntt3tpazOZOlVj8mSB\npoUfPzeb/ftV5fKNN3o4fFhj3z4XhiGP9xVW1dazZlmsWmWQlCTZv1+Qm6tC04G13t5ucfSoxm9+\noxMZCXfe2Upqqp/W1hPV8mvWuPi//3Ny770+7rnHS0qKZO1aFVKPjDzhIewNo0bZLF7sO07+Bp7P\ndy7ZqIG2ZTuTAthnAgNVXwgQvM2bN1NWVobL5eJLX/oSR44cobq6moaGhs7tu/fUHcbZxzAB/IIh\nODk44FEKxrFjx/j1r3/NihUrqKqq6vXtUtd1UlJSmDNnDvfffz8jR448SQx6mPQNDsGkr6ffJgAh\nRGfydk9Gvq4Oli0zcDolo0fLPt/KIyIk8fE2tq33WLAy0Hn3ViF4/vmwc2cIv/mNi69+1ea227yU\nlyvh39GjT3g4w8MF8+dbuN2SmBjJZZeZlJRoeDwaoNaO263CpD6fSsqPiFCfZ2drZGfDxo2qz29H\nh8qrGzdOkpPj5+mndZqbBStWOJg1y09Wlhen009urhKeXrXKwDBsDhxw0tamkZwsiYiwueACVXVb\nXa3x+us6I0fC1Vf7mDcP1q83KC3VuP56uP9+Jdz81FMOxo+3iIiwqazU+dnPnDzyiJfRo1Vv4Pp6\n1WP4u9/toLRUx+GQPPlkx/HOHgaaBikpNk884eSyy0yk9NPSAlVVyruWkGBx111e0tMtDh7UeeEF\nJ+PGmVx5pcknn+ikpChR6chIydGjGjt2KG/nvfd6+POfXdxwg48RI2zS0mzi4lRnlBtu8FBS4qCg\nwGLRIh+GYVNdbfD66zrjx/uIjVVV3ZGRghkzoKREsmGDzrRpSqhZhavVumlq0vn73128/77yRr7+\nuoNbbvGzc6dBcbGP889XtiQjwyIhwUN8vB+vV+OTT9xUVels26Zx5ZUmTqdNbq7yRtv2iWr5tDTB\nhRdKoqO9xMebNDQ4eO21UEaNgnHj2vts6+j3S154QaejQ2P06N5bZ56LkLL/tmz9aSF+EbBz506e\nfvpptmzZwpe//GVuu+027r333i7btLW1cfDgQaqqqggNDf2cZjqMAIYJ4BDjTJClYNLX05tjQ0MD\njz76KO+99x6HDh3qM48kPT2dCy+8kIceegi3291ZFNJbH8bAOQyTvt4ReKvvi/TBwN/sR42C//gP\nFaLsyytytjQRk5P9XH65TkaGn6Qkk+JigdNp0dZ2YhtN05gxQ81l714HZWUGN97op7BQAgHZEdVv\nd+tWwT33+AkN7bquJk2Cn/xEVd6qHreCkBBJTo7yPi1a5CEjwyIvz4PLJbnzzlY++iiEXbscLF7s\nJSpK8OijTmJjbYqLvfzf/7m57z4/+/ZJnnzSwR13SHTdpq1Nw+8XJCfbpKUpUeZXXnEQHW0TH29T\nXq76/f7wh14cDpuPP9ZxODR27tRYvNiDrqtqW58PdF3lHWoatLQI/uu/bP73fz1ER8PWrRrbtmnU\n1wtGjzY5dEinoMBk+XIHdXWCu+9WeXf19aoA5sEHvWiajRCSqCibq66yGTPGpq1NVU8bBqxdq0Lv\n8fEmU6eabNyouphERBgsW+bgy1/2c/XVJjNm2GRlgdMJ3/ym6nRTUaGxZo3qRhIe7qW1VeUZOp2q\n0tQwBIWFBqGhkgkT/EREwOHDGi++6KSwUGlILl9u8NBDXnw+gzVr3GzbphMWZh/vzCLIy7NISfHR\n022QleVD06CkxEVVlZupU03+/d/bCQ2V/fZDt20Nny8Un0+RKcPoW55ESklFBRw5AhMngmGcXfvV\nPSWnJwRX9H8RhZpBORz++te/8re//Y2srCzuuOMOfve73/Vq38LCwigoKKCgoOAsz3QYPWGYAA4x\nTkcMOFiYufuDurq6miVLlvDRRx9RW1vbK+lzOBxkZGRw2WWX8eCDDxIVFdX5XWtra5f/95QjdiaE\njf8ZcaZJXzAMQzBmDAymT3BvGEixSl9yN7ZtEx9vcuWVJ9aKy3XyOMGaiFlZfr773Q40TdLRAR0d\nah45ORqXXw6HDml0dPhwOrtWM+u6kjppb7dZtUoSE6NakOXnW9x1VztNTRqJiSYul7oXjhxxUVNj\nEBenxs7IgH//dx9+PxQVCSZM8JOYKPnwQ5sHHvDwj384AMHjjzv57W/bOXZMFbl0dKiw5vnnS95/\n3+Cll5z84AceCgst/uu/XNx5p8mUKSZpaRohISpfcNo0q1MmZ8wYi5decrJokY/ISI2oKJXDuX07\nbNumcccdPkDy618b5OdrXHGFj9panZISWLjQpLxcct11Sqj6//2/EO6808dll9ls2aI08V580cU9\n93iZNs3CtlVO4WOPubj2Wj8ffaRz440m48bZjBvnISkJ4uM1cnLU+rEsydtvC44d09i7Vyc9XV2L\n3//eySef6Pzyl+1MnKjIl2lqfPSRkq4JD4eiIiVps3Chj+RkGxCMH2+xd68iliUlGg0NghEjICfH\nYvt2g7VrnYSHu7jwQpvISHHSevrwQxdLlzqYO9ekvt5m5syeC9BOXls2N93UgpSBkHPXNd5TGsOy\nZS4++sjgZz/zkpd3dmxXQGarL7sQ0IU9l0K8g4GUknXr1vHMM89QUVHBjTfeyBtvvEF0oJXMML4w\nGJaBGWIEKrwGum1fpK+iooIlS5awdu1a6uvrezUwTqeT7OxsFi5cyHe/+91eJVva29t7LQbpCX2p\nyf8rEMShJH3nKs6UJmIAHR0alqURHn6yxydwrWprHXzve6FceaXFihU6s2aZTJ/u50c/CuHGGy3m\nzbOIj9dYuVJj+3aNWbMsZs3q2UttmpL//m+d9PQTHUtqajTy8y2eecbNPff4SEy0+egjVeSxdatB\neLhk7lzlHTxwQOUEulyCZ54R1NYqIeziYosdOzT+7d98/PGPTq6/3uT8801SU3UsS8m5aJrN228b\nXHihyf79Glu2aOi66mM8bZrJ9u0GkZFKtub99x2MG2cSHQ35+YK4OPjznxVJzM9X4fLx4yWPPqok\nazweSVKSIDNTMmKE5M03dRobJdu3q+KKadPU9aipsfn5zx3k5Vn85S9O7rvPw5VXtvDxx2HU1OgU\nF3eQnOzvvJdLStx89JGD+nrBT35i0dxs8/OfO8nLU0Uk771ncPnlPt5808nUqSZz56rK6vff14mL\nkxw5InjxRSe/+pWX4uKT19K+ferapKTYJCcL3G569EwPZm21ten4/YLo6K5rqqLCRV2dzsSJHbhc\nDJntGqhm3xc9xFtXV8dLL73E66+/znnnnccdd9zBxIkTP+9pDeM0MOwB/JwRIIh9hQpAGZD58+f3\nqtPncrkYMWIE119/Pd/5zndwB4S0ghAc8pNS4nA4OnO/BiNsfCqdL76oBDG4kONfhfQF41TCzH1J\nSISEKG9Ob+MAJCb6uOcelVP34x97CAmxkFJw662qFd5997n4znd8rF6tU1Kic8MNfgJhZlAexAMH\nVGu3UaPg5pstPB7YvBl++1s3S5Z4yckRjB3rITxcQwidhQtV/2HDkPh8kJ+v4XCodm+B6aekSA4f\n1vjhDz0kJMCFFwqqqgQej+p3/Kc/uUhNtRkxQvLnPzu5+24vK1c6GDPG4sknnUyaZDF3rkVrq+Cj\njxy89ZbBpZeatLfDzp068fGS8eMt0tNVXuUll1iMHg3Lljk4ckRQWOglJcUmNlbi9UJBgUVmptLs\nO3xYo6ND5UOmp9vk51tER0va2iwqKx3MmGHx0EPtFBV5aW9X40+Z4iU11cLnc/PSS24yMyUXX2xx\n+LBkwgRVMBMWJpg5U41VWGhyzTWqj3N4uCqOycyE6mrVo/iBB7yEhNiMGOElP9+mokJ5EgMCzEIo\nb6HbLUlI0HA61X0y0LXVG0F87rkwyso0fvSjVqKiThCw7Gwv2dnq/8eOGWzY4CI/3yQrq+9q+YGK\nHA9Esy+4iveLaBcsy2LVqlU8++yztLS0cOutt/Lee+8N5+/9k2CYAA4xerrpg0lFf6TP6XR25ohk\nZWVRWlra+X1ISAh5eXnccsst3HXXXSeV1Qe/QfeU06freqd3sC9DO9Bcse4aUL2dU18h5nPBSAYX\ncvR1PoFCjnOpxd/ngcFoIgZeIAJ6iD2PB1u26KxYYfDooyYJCWq7iy5qY/9+F1FRDkzT4mtfa6Oj\nQxAT46W5+cQLyDvvhPDooyFcfrmfm2/2k5sb6LKiERfnx+22efhhJxMnWixYcOKe0HWdefO6zuXw\nYckbb+hMnGgxcqSNELBsmZPoaPje9/zk5loUFHhoaoL8fIuYGInbDRdf7Gf0aMkvfuElORkeeMBH\nfLzy7u3ZY+P1SvLyVI7f+vWqF7HLJTtJkRCCkSMFBw4o79+IETZlZRrNzYKODrj//lAefriDjAw1\n/1tvtWhsNBk50qKxEfbutcjPbychAX75Sz9hYRahoeo67t/v4re/DeHaa03GjXPi8aiwcmSkOsYn\nn2jcfLOJEIIdO5S24223WSQkqN83Lc1m9mwvr7xi8Kc/OViyxMNjj3WQmAi6rjF2LBw6BPff7+b8\n803uvdfqvD927oSHHnJz990+Lrig73V16JDkwAEoKtIICel5bdm2TUGBIDwcIiKcuN1Gj/Ik1dUG\nf/qTk69/nV4J4EA7YQS27Q2no9l3rqCyspLnnnuOlStXMnfuXB555BHy8/M/72kN4wxjmACeBQgh\nusi19JfwHEz6gg3Itddey2OPPcaoUaO4/fbbWbRo0Un790f6+prjqfTPHaxQaH9GdrBv4WcKw6Rv\n6BDoHhHQPevr9zcMA03TuOgii3HjbJKTu7YSzMnx8rOf+dG0k8cIvIDExdmcf76fSZP8hIV10Npq\nH98XcnM1Ghoc1NQ4KCy08fvNPtfXkSOwdKlxvPUbpKXB/v0St1t1F8nMNNi0SfDkkw5++lMPlZU6\njz6q8s6Sk8Xx3rWCWbNOjLlzp8GTTzr5yU88SKkxdarN1Vd7cLsFLhd4vSokbdvK01dcbDF+vI3H\nIxg1SglMz5ljEhsr+c//dLBwocl55yk5nPHj/bz5ppv/+i8Xjz9ukpLiIyHB33ltnU4nY8bo/PSn\nfpKT1f0WFWWSmSmor9doazPZtMnFZZepe6ChQbBli8E115y4JzRNIzJSkpcnsSyTkBDJihU6LS1w\n6aUWmZk6ERFK4qa7Xl9YmGTsWNWxpKccVyklu3erji979uj87/86+MUvvBQV9bxeNE3jqqtUu0Eh\netaVk1IybpzFww+bpKZKXC5Xv50wWlsNHA6rM980ME5/di6wjkxTFd58kfKovV4vy5Yt44UXXsDh\ncLBo0SJ+/OMfD+v1/RNjOAdwiCGlpKGhoU9PX+CN8VSrwbpX7QaTvrOFnghi97/PBPoLMQ/mnP9V\nSN/nsR5gYOHznnQQe8JAPdT19Q6qqhyMHevF7e79N920KYylSx3cc087ycnBObqCykoX8fGS2Fj1\nd0WFTkKCIDZW60JGT+QsqorT8eNVOHTXLqit1bAs+OY3bXS96zlVVipP27hxFt/7nhvTlNx9t49V\nqwxmzjQxDPjFL9zExtqEhsKDD/pIS1P9eYU48XuWlEi++10Xixd7KC5u4+BBJ//5n+Fce62fpCSL\niRM7cLu1zuvbU6hVSkldncn994dQWanx9NPtOBwaaWlqztu2gctlM2ZM1zSAwP0uhKChQXLrrS4M\nAx591Et+vta5DUBTk2TjRo2CApusrBPXorfq3fvvd1BWpvGTn3ior9eYPt0mOnro8uaC7adt29TX\nw3/+p5uZM01uvLFlUDmu/aGvNJmA/Trb9+lnn33GM888w4YNG1iwYAFf//rXSU9PP6tzGMbng2EP\n4BCjt/ypM0n6gg3U5xVG7S9XrL9igoESxOBq097m0VuIOaBZNxjSF/BIfVFRUyN59lmD2bNPCDIP\nJQZKqgebM9mXh1p5jSROJ2zfLnj8cRc//7mgqMjf6/pqb1cFHl5v12Pv2+fk3ntDueMOX2flc0qK\n+i4QZu6+xuLiNOLj1We5uapH8F//KggNBduWJxHArCyNrCyQUuOuu3zYtqShQeP995WnsapKkR91\nnZR+XnX1/2/v3sOarN8/gL83zhCpHHTAGOAJwsO3rxaSmklqppapWYaXiYikV6WpZV+zLCeeKs26\nCg9XJ4YHxG9ohdmByhA0yyMaB4VL5HxQv2aAjLHt+f3Bb3ODsT0b254d7td1dZl75nZvPDy79/l8\n7vvD4IMP3PD443I0NHT0G3zggRZ89FEb7r1XDoWCB3d3YMAABYKDFRg9WgE3Nx+DW4AVFABbtngj\nKakNAQEMwsN5cHHh//97wWDVKg9MmybHkCEKrX/322/AtWsumD1bAX9/Hj78sA1yOTBwoPbPDABK\nS4FNmzywbNndNXn6zJvXjqYmHoYN46Fj8Mmyv3+a18yOBuhyBAcr0aeP7pkN1bmo+jJgSs9NffTN\ngJhrFLGpqQlZWVk4ePAgBAIBkpOT8dFHH3F6rcvLy8PWrVtx9uxZ1NbWIi0tDfPnz1cfT0xMhEQi\n0fo3sbGxOHnypLVDdRiUAFqBu7s72tra1FMw7u7uJv2i6Uv6bB2bBBGAzsTQmIpAQ4Uq+vD5fHh4\neNh90qepqQn4+eeOvnaxsZYZ7NdMqvUtb+jc/uKff5SoqgIGDbq79s0UN28Cr7/uieBgJVatkuGt\nt2SIiuLDy8tLK0bg7vkVF6dAdHQriovd0NzsiqFD74BhOlrPzJ/fjqgoOaRSPgoLPSEStaunUTW/\nyHT/frjg11974fZtHiZObIG/P6/LKA/Q8TsxahQA8HDnDoPhw6WQywEeT4Hw8Lv3YxgGra1KlJV1\nrEnMzHRFTIwC//53R9NsNzcX7Nzpg0GDlNi8uR2uri7g8/VP21VVdfQ3FAoV4POB3r15+Pe/O855\nmYyBVMogMBBYuVKGkJCu583vv7siP98Fkycr4OvLQ2Skvr6WDMTiNgwY0DHtq29Emsfj4W5hqXWu\na5179nl6Av/5T+v/j7bejUtfz77Oo4im9twE2O/coy9B7G509cyZM0hLS8Ply5fx7LPPIisrC/7+\n/uzeKAtrbm7GsGHDkJCQoJX4aZo0aRL27t2rfi/d3d2tGaLDoSlgK1CtfXK2pM/cjKk2NZWuER6u\np2h6gmEYVFUx6NMH8PU1X1Kran2hby9TQP/0+dGjgFjsgY8/liImxvT3tL2dwS+/8ODtrURgYEdD\n5gceAPh8/Y95+bICiYleiIlR4IMP2tVrFVXn0tmzfCxb5o3XXmvF1Kl3jFrGUFbmCZkMiI7u2udO\n8/zqbsRalZSo3l+GYXD7tiu8vBS4edMNnp4dO5+8+qo31q9vw5Ej7oiKUuLllxXdfvirnhsA8vOB\nV1/1QEqKFKNHM/DxubsH9YEDfPzwgyu2bOlYx6jr8a5fZ9DSwiAszLjfB4ZhcHNeB30AABtPSURB\nVOoUUF/Pw2OPdTyvofvX1zPw8QHuvde8X8pUPfv0bctmzp591lom09DQgBkzZiAkJARhYWEICAhA\nTU0NiouLER0djVdeeQVjx4616euYr68vUlNTu4wA3rx5E99++y2HkTkWGgG0As1mt2xQ0qeboUIV\nNk1YDWEzwqNvitnWEsSO3nfmiUdXUqKLi4uL3nVnKmFhSiQmyiAQ6C4IYMvNjYfJkxkwDLB0qTsu\nXnRBRkYrhEL9jykQ8DB9ejvCwhitynjV+TV4sBJiccdooq+vb5cPcF1LGVQGDuy+wbGpo9SqFich\nIXK4u7ujvZ2Pp5/u2PFj82YZXF2774W4fz8fLS08JCYq4OnJw4gRDHbulCIigsE992j/jDw8GHh5\nMeDxur/mBAbyEBho2s/s6FFXHD/uigcfbDWYAFZVMUhK8sScOe1ISlKaJQnjals2c7dU6k51dTUq\nKipQUVHRZXq0uLgYCxYssKlrlDHy8/PRr18/9O7dG4888gg2btyIwMBArsOyWzQCaAUMY7gZtOaH\ni66F5kQ3ttOPLi4ucHV1Ve93rGuK2ZyFKoYWetsL1ftiqN8Zn8/XKuZg+9iA+c5x1Zq2f/4BRo9m\nt/2XJWKw1Ch1x6giD9HRrXrPr87rxNralHjzTTf8/TcfH3zQZnAkTaFg0N7e0fza3OcqwzCormbQ\n0sJDZKTh9/36dQY7d7rioYcUmDjRtDWsml9cursOa07x2nK1rqEvIQqFAtnZ2ViyZEm3j1FQUIDh\nw4dbMWrj6RoBPHjwILy9vREREYFr167hzTffhFKpxNmzZ6lS2USUAFpBdwkgjfSZxpikj81IlObj\nsh3h6Ql9U8y28uHDZtcTHo+nNVJiC3HbOtU5plAoIJfL1e1CDONj8eLeqKvjIT39H/Tu3f20O9B1\nnVhTkwtkMh68vXno1ct2zjM2TE3S2VSh23uFPwC0t7fj+++/x549e8AwDJ5//nlERUWhpqYGdXV1\nqKqqQmVlpfq/06dPo0+fPlyHrZeuBLCzuro6hIWF4eDBg5gxY4YVo3McNAVsBZoXFkr6TMN2zZlq\nJMqUQhu2lczdVTEbWwnItpJZ198tgU0FL9u2LaQrtqOpqtFqVdW66txauVIKqRQGkz/Vc2n+DD08\ngG++8UV2ths++qgJfn7tnPXcNJaxawzZbMtm6jXClpSWliI9PR15eXl4/PHHsWPHDoSFhamPO/o2\nbUFBQRAKhSgtLeU6FLtFCaCV/PLLL3BxcYFIJEJISAh9eLJgbNJnzPSjKTQ/FPU1zO6uipntFCDb\nBFHfSCJbbNZEAY671Z01sFmbymbdWUxMx58Mcy+rnoid9eoFhIQwUJ26bKtN9a13tRVstmXTrOK1\npdiN0dLSgq+//hoZGRnw8/NDUlIS3nvvPYte92zV9evXUVNTgyBVnyZiNEoAreTOnTs4d+4crl27\nhtraWigUCri6uiI0NBQikQgikQhhYWEICwtTJ4jOyNaSPmMZKlQxNMVsTIKoj74pZuDuB6ahti32\nPj3GFTaJtaHWIt1hc47pWns4dWorJk9mALArPmHzRcTQOkRLnjdsRqwdYVs2ALhw4QLS0tJw6dIl\nzJo1CwcOHEDfvn25DsusWlpaUFZWpj53KysrUVBQAD8/P/j5+WHdunV4+umnERQUhPLycqxZswYC\ngQAzZ87kOnS7RWsAOSSTyVBZWYny8nKUl5fj2rVrTpkgmpL02doIhLkYmmK29K+rpSognQHb85jr\n0VR9SxmMGalmw9wFUWzeY821qfZ8nbx16xYOHjyIrKwsDBw4EMnJyRg9erRDXvcAIDc3F3FxcV1e\nX0JCAnbs2IEZM2bgwoUL+PvvvxEUFIRHH30U69evR0hICEcR2z9KAG2YqQlicHCwutrVVqlGF1Sj\nUGyqSx016TOGtXqJGZpidvafgyY204/2NpqqmQhasmKe7XpXzSpefVO89r5MgWEY5OfnQyKRoKam\nBvHx8YiPj0evXr24Do04IEoA7RjbBFGVJGqOIHKRILLtI2cvLRlsEdtRqJ6yp/VhlsCmwtSRR1Ot\nVTFviOo9dnd3t+tzrr6+Hvv370d2djZiYmKQnJxs861aiP2jBNCB6UoQKyoqUFNTA4VCARcXl26n\nmM2VIBqb9FF1qWnYFBrweDz1zgaA7oKVztXppmKz24W9YdN+yN6+vDAMg+JiBr6+QGioeZNUfaOH\n5p5mZtsT0ZbI5XLk5ORAIpFAKpViwYIFmDlzptYWhoRYEiWATkwmk6GqqqrLCGJPE0SFQoFTp06h\nT58+EAqFlPRZCJtF8IDx1Y+WbGas0l0BgeYUsy2cD5pLFWx5XZ+pysuViI31QXJyG1JSdG8jZyma\n08yqL4mm7OFtiKEvI6r7WEt5eTnS09Nx7NgxTJw4EUlJSRgwYIDVnr+zvLw8bN26FWfPnkVtbS3S\n0tK69N9bt24dPv30U9y6dQujRo1CamoqoqOjOYqYmIttLxQjFuXu7o4BAwZ0e/HpnCDm5eVhz549\nOhPE0NBQtLW14cKFC8jJyUFNTQ2Sk5MhFou1HpOSvp5h2wS7JwkJ20pmfS1v2LwOQ2vJDE0xW/Lc\nYbOuzxEqTP39gU8+aUV4ODfjAKrEz9CIqipRM2W02lA1M4BuzzNznWutra3Izs7G/v374e3tjYUL\nF2Ljxo02sVa7ubkZw4YNQ0JCgs7Gy++++y62b98OiUSCwYMHQywWY9KkSbhy5Qp8fHw4iJiYC40A\nEpNpJoi5ubnYsGGD1vGgoCCcPn0abW1taGhogEKhgL+/P2drEO0V23V9tlJooK+S2ZwFBOauMGW7\nrs8RmghrMnWnDVOfi00zbM0qXn1xWWO0GjB9zeulS5eQnp6OM2fOYObMmUhISLDpvnW6duAIDg7G\nsmXLsHr1agCAVCpF3759sW3bNiQnJ3MVKjED+hQmJtMcQZwwYQL279+Pq1evAgD8/PwwceJE3Lx5\nE42NjV3WIMrlcri4uEAoFHaZYhYKhU6fILKdejR2uztrYLujSk8LCExpZNx5bZgx6/ocddTaGq+H\nTXJtyoiqKT0RO59zbOgbRWQYBg8++CACAwMhEokgEAhw48YNXL58GSKRCC+99BI++eQTuzxvysvL\nUV9fj0mTJqlv8/T0xLhx43Dy5ElKAO2cc3/KErPh8XhITk7G5cuXMWfOHEyYMMHgBt3t7e1aU8wn\nTpzAvn37nDZBZFswY+/Vpbay5Z4h9rquz1aw2ZZN1bPPUiOqPTnX2PZEvHHjBmpra1FbW4uCggKt\nY0VFRRgxYgSeeOIJs70ma6qvrwePx0O/fv20bu/Xrx9qa2s5ioqYi+N9ihLOqKYI2HJzc0P//v3R\nv39/ncedJUHUTPr0VfA6QnNbNqy15Z4hcrlcPV3Z0y33nIk9bctm7LnW+byTy+WorKzU+xwikcjs\ncRNiDvbzKUmcjiMniGymxBx96rEn2BaqaFaXGpsU9nTLPVupZLYGhmHUSZ+jbcvW+VxTKpX49ddf\nIZFIcPv2bcydOxclJSWor69HdXU1qqurUVFRgYqKClRWVmLgwIEcvwLTCQQCMAyDhoYGCIVC9e0N\nDQ0QCAQcRkbMgRJAYrfMlSB2bpQtFAoNTl+bwpi2LTT1aDpjKqVVH+qmFg8YmpK2dHUpl9isU3Wk\nkeuqqirs2bMHP/30Ex555BFs2rQJkZGR6uOa/+8oIiIiIBAIkJOTg5EjRwLoKALJy8vDtm3bOI6O\n9BQlgMRhsUkQq6ur1Qni77//joyMDFRXV0Mul4PP53c7gsg2QWxuboZMJoOHh4feZETVoJmSPtOw\nLZph+z6ba8s9NgmivW25p5oW17ctm6OczzKZDN999x327t0LV1dXJCYm4p133rHIF0SutLS0oKys\nTH1+V1ZWoqCgAH5+fggNDcXy5cuxefNmREZGYtCgQdiwYQN8fX0RHx/Pdeikh6gNDCHd6Jwgqhpl\nG0oQ+/bti+PHjyMzMxNHjhzBG2+8gUWLFnV5fFtp22LP2OwRa4lKac0Esbv1iOZgK1vuqUZVZTJZ\nt6PX9l6cpKmkpAQSiQS///47nnjiCSxcuFBrCtSR5ObmIi4ursu5lJCQgC+++AIAsH79euzevZsa\nQTsYSgAJMZGuBPHixYs4evSo1mjfiBEjcOTIEQAdhQVeXl7w9PS0+w9JrrCZSlf16+Nq6lF1We2u\nitkettxjO8WrWdBhz5qbm3Ho0CEcOHAAffv2RXJyMiZMmODQv6cTJkxAQUEBLl++DH9/f61jLS0t\nuO++++Dv74+zZ8869PvgrGgKmBATubm5ISIiAhEREerbFAoFhEIh6uvr1bf9888/uHDhAv766y9c\nvHjRrFPMzoJNSxGAfQNhS9OsLGVbyWzKOkRDrW5M2XKPTYGSo0zxMgyDc+fOIS0tDcXFxXjmmWfw\n1VdfISAggOvQrGL37t0YPnw4VqxYgfT0dK1ja9euRV1dHQ4fPkzJn4OiEUBCzGzFihXIyspCfHw8\n4uPjMXz4cJ0XUF0jiBUVFaiurkZ7ezv4fD5CQkK6JIihoaFOkSCy7YvoKMlIZ+bYco8NzT1x9U1f\nO9IuKDdv3kRmZiYOHz6MqKgovPDCC4iJiXGo84etTZs2Ye3atfjpp58wYcIEAMD58+cRExODl19+\nGdu3b+c4QmIplAASk40fPx7Hjx9X/53H42HOnDnYv38/h1Fxr7m5Gd7e3j3+kJTL5d2uQXTkBJFN\nX0Rb3AHF2qy15R7Q8X7bU6GKLkqlEsePH4dEIkFjYyPmzp2L5557Dr6+vlyHxim5XI4RI0agtbUV\nf/31F9zd3REbG4v6+noUFRXRfr8OjBJAYrK4uDgMGDAAmzdvVo9GeHl5Of0F1VocKUFk00fOkVqK\nWEN3W+4pFAqL75PbuR8il2pra7F37158//33eOihh5CcnIwhQ4ZwGpMmsVgMsVisdZtAILDqThun\nTp3C2LFj8frrr0MoFGLp0qX49ttvMW3aNKvFQKyP1gCSHvH29kZgYCDXYTglV1dXhIeHIzw8HHFx\ncV2Od04Q//jjD2RmZhpMEIVCIdzd3S0eP9t1fbaya4S90Vz/p3qvDW2N17kvIhts1iEa6odobnK5\nHD/88AP27NkDuVyOBQsW4I033oCHh4fZn8scoqKikJubq07Krf0FJzY2FkuWLMHWrVvh5eWF2bNn\nU/LnBGgEkJgsLi4OhYWFYBgG/fr1w5QpU/DOO+/gnnvu4To0woKuEcSKigpUVVWpE8Tg4GCdI4im\nJojGrOujFjk9x6ZNjr7G4/r2yDXXKKLmSGFPt9wrKyvDnj17kJubi8mTJyMpKQnh4eE9jtGSxGIx\nsrKycPHiRU7jaGpqQmRkJFpaWnDlypUu+/8Sx0MJIDHZZ599hrCwMAQHB6OwsBCrV6/G4MGD8cMP\nP3AdGjEDuVyOmpqaLlPMpiSI165dw969e8Hn8/HSSy/pfD5a12cebHr2qd5rd3f3HreK6a6K2RKF\nKjKZDF9++SVEIhHCw8MRFhYGb29vfPvtt8jIyEDv3r2RmJiIxx9/3G6WCYjFYrz//vvo1asXPDw8\nMGrUKGzatEmru4C1xMXFoaGhAUVFRVZ/bmJ9lAASLWvXrsXGjRu7Pc7j8XDs2DGMGzeuy7EzZ84g\nJiYG586dw/3332/JMIkNYJMgtrW1oaamBtXV1QAAPz8/nD9/Xr0Gkdb1mYet9uzTV6hiSoJYVlbW\n5drD5/MREBCAIUOG4MUXX8Ts2bPN+RIs7scff0RTUxOioqLQ2NiIlJQUlJSUoKioCH369LFqLJQA\nOhdaA0i0rFixAs8//7ze+4hEIp23jxw5Ei4uLigtLaUE0Am4urqqR/3Gjx/f5bhcLseUKVPUyR8A\n/O9//8OPP/4IHx8f5OXl4fbt2132Yu7JFLOzUW3Lpq9imss2OZrrEHUxdss9zXNJRalUorGxEY2N\njXjqqacs8josafLkyVp/j42NRUREBCQSCZYvX85RVMQZUAJItPj5+cHPz8+kf3vx4kUoFAoEBQWZ\nOSpij1xdXbF48WL8/PPP4PP5eOyxx/Dcc89h9uzZ8PHxwbPPPqs1gnj69Gn897//7TLFrEoQw8PD\n1dPNzpwgqqZ429vbuy2esZdt2dgkiEqlEgUFBTh58iTq6uowa9YsNDU1oa6uDhUVFWhqalLfPyws\nzFqhW4y3tzeGDBmC0tJSrkMhDo6mgIlJrl69in379mHq1KkICAhAYWEhXnvtNfj4+ODPP/+khfsE\nACCVSrF7927MmTMHAoHAqH+rUCi6nWKWyWTg8/kICgpSJ4WqBDE0NNRmqz1NpVk8I5PJur2freyE\nYg719fXIyMhAdnY2Ro4cieTk5C4zCwzD4O+//1YXMD300EN2X7wglUrRv39/vPjii3jrrbes+tw0\nBexcKAEkJqmursa8efNQWFiI5uZmhIaG4oknnsDbb7+N3r17cx2eRe3YsQNbt25FXV0dhgwZgg8/\n/BBjx47lOiyn4wwJIttt2RylYlqhUODnn3+GRCLBnTt3kJCQgFmzZsHLy4vr0Cxm1apVePLJJyES\nidDQ0ICUlBTk5+fj0qVLCA0NtWoscXFxaGxsRGFhoVWfl3CDEkBCjJCZmYnnn38eu3btwpgxY5Ca\nmoovv/wSxcXFEAqFXIdHNNhrgsimP6IjbcsGdFSJp6en49dff8Wjjz6KRYsWYeDAgVyHZRXx8fHI\ny8vDjRs3EBgYiNjYWKSkpCAqKorr0IiDowSQECPExsbi/vvvx65du9S3DR48GM8884ze6mlie2wt\nQdSs4tXXs89RmmJLpVIcOXIE+/btg6enJxYuXIhp06bB1ZWWphNiDZQAEsJSe3s7vL29ceDAATz9\n9NPq219++WUUFhbi2LFjHEZHzE2hUKC2tlZngtjW1gY+nw+BQNAlQRSJRKwTxFu3bgHoSOz09exT\nre2z96QPAAoLCyGRSHD69GlMnz4diYmJCA4O5josQpwOfdUihKUbN25AoVB0WWTer18//PLLLxxF\nRSzFxcUFoaGhCA0N1dn3snOCeO7cORw6dMhggigUCnHy5Emkp6cjOzsbGzduxNy5c7Ue29H6IzY1\nNeGrr77CwYMHERISgkWLFuHjjz92iISWEHtFCSAhFpCYmIiMjAwUFBQgMjJS69inn36KxYsXQyKR\nGOy5SGyXKQliRkYGDh06hLa2NvX9Dhw4gLlz56p7+vn6+sLLy8vukyOGYfDnn38iPT0dpaWlePbZ\nZ3H48GGT20wRQsyLpoAJYcmYKeCbN28iKioK0dHRyM3NVd/e0NCA++67Dw888AB++uknq8ZPbMOD\nDz6IM2fOqP8+dOhQbNmyBZcuXcLly5dRWVmpXoPY0ylmLly/fh2ZmZn4+uuvMXToULzwwgsYOXKk\n3Se0hDgaGgEkhCU3NzeMHDkSOTk5WglgTk4OnnnmGa37+vv7Y+vWrUhMTMTnn3+OpKQkAMDSpUsh\nlUq1ikiIc0lMTER5eTnmzZuHBQsWqHvbTZs2Tet+ukYQDx8+jMrKSrS1tYHH40EgEKh3T9FMED09\nPa36mpRKJX777TekpaXh1q1bmDdvHnJycuDj42PVONiiVk6E0AggIUY5ePAg5s+fj9TUVIwZMwY7\nd+7El19+icLCQp09uyZMmICCggIUFxfjjz/+wPTp07FhwwasWbOGg+jNRywWQywWa90mEAhQW1vL\nUUT2QyqVqnfq6AmFQoG6urouRSrWTBCrq6uxZ88e/Pjjj3j44YeRnJxs8+1LqJUTIR0oASTESLt2\n7cJ7772Huro6DB06FB9++CHGjBmj876lpaX417/+hSlTpuDMmTO49957cf78ebtvdSEWi5GZmYnc\n3Fx1yxIXFxf4+/tzHBlRUSqVOquYe5ogtre34+jRo9i7dy94PB4SExMxffp0uLm5WfHVmY5aORHS\ngRJAQixs/fr1WLduHfh8Po4fP47Ro0dzHVKPicViZGVl4eLFi1yHQkxkbIIoEAhw6tQp5OfnY+rU\nqVi4cCFEIhHXL8Mo1MqJkLvsexiCEDsQEBCg/nPEiBEcR2M+V69eRUhICDw8PDBq1Chs2rQJERER\nXIdFWOLz+RAKhRAKhXj44Ye7HO+cINbV1eGxxx7D1q1b7Xb3EWrlRMhdlAASYkF1dXVYs2YNhg4d\niqKiIqxbtw5btmzhOqwei42NRVpaGqKiotDY2IiUlBSMHj0aRUVF6NOnD9fhETMwlCASQuybfX6N\nI8ROLF26FHK5HN988w0WLFiA7du3O8RG65MnT8bs2bMxdOhQPProo/juu++gVCohkUi4Do2QbgUE\nBMDFxQUNDQ1atzc0NEAgEHAUFSHcoASQEAvJzs7GoUOH8PbbbyMiIgLvvfceevXqhSVLlnAdmtl5\ne3tjyJAhKC0t5ToUQrql2cpJU05OTreFXIQ4KkoACbGAlpYWvPTSSxg+fDheffVVAICfnx/ef/99\nnDhxAp999hnHEZqXVCpFSUkJgoKCuA6FEL1WrlyJtLQ0fP755ygpKcErr7yCuro6LF68mOvQCLEq\nqgImxAJWrFiBjz/+GCdOnMCoU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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -937,9 +940,9 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "As beautiful as these plots are, it is hard to get useful information from them. For example, it is not easy to tell if $X$ and $Y$ both have the same variance. In most of the book I'll display Gaussians as contour plots.\n", + "As beautiful as these plots are, it is hard to get useful information from them. For example, it is not easy to tell if $X$ and $Y$ both have the same variance, and how much they are correlated. In most of the book I'll display Gaussians as contour plots.\n", "\n", - "The contour plots display the range of values that the multivariate Gaussian takes for a specific standard deviation. This is like taking a horizontal slice out of the 3D plot. " + "The contour plots display the range of values that the multivariate Gaussian takes for a specific standard deviation. This is like taking a horizontal slice out of the 3D plot. These plots show the shape of the slice for 3 standard deviations." ] }, { @@ -952,9 +955,9 @@ "outputs": [ { "data": { - "image/png": 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hlxFftYIwyESECsIOo5suLcvEjWz2lPo/KhRGEdOLHRbNJi23xUg1Qynf/4QE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JWDoP3aBxLYQAM+MVjT31oZ1YugJ1M1I1A4WShmJJg6abUHUDmm5A0/ckQMzc\nJ/nhOA4cAFEQIAk8JFGAJM78r1MS4HZKcDklqqRIVWi6gUS2gGwpg5URWm26mhySAJfMIVPKIpEJ\nItLiqXWRCKk6RdVRLGkoaQYUVUdJ1VHSDBjmnsYAMJh76kSRf6X+kwQeHpcDXpcDHlla8u57SoYW\nwTQZsoUS8oqGvKKioGhQNBWKrkAxStANDbqp7/MfOODVXynb8384jofIi3v/k3gJDkGCLMqQRRku\npwS3LMEjS/C7nXA66KsilYtnisiWMvC4BNqDbAkEfQ4kkynEM62UDJGGVCxpyBZU5IoqsoUSiloJ\niq6gZKjQDBWqoUEzVOimAQYTHDjM5jmM4ZV6UJDgltxwiy64HS54XQ60BT0IeJZmXCPVsAehGybS\nOQWpnIJ0XkFeK6Kg5qHoCop6EQwmZCcP2SHAKfPwCDxEQYAoShAFbr9fom6Y0A0GXTdnkiijhIJm\nIpE3oGomnKITLtEFWXTB6/DA53Ih4HEi6JVpqi4pWyxdQEpJIdxK19BS8LklTMaySBcKKCga3DLN\n3CP1jTGGTL6E1J56Ma8qKGoF5LUCiloBjDMgOwQ4JB6yzMMvCXBILgj8TBL06jrRNBkMc6YeVHUd\nRSWJZD4KPQ14HV5MplsQdHkRCXoQDrghVPEHHCVD82CMIZlVEE3lkSmWkCvlkNNyyJVykCQGj0uE\n3ysg4nDBIQllvYco8BAFAI65rzdNBkU1oJQU5Eo5TCUn4MzI8Dp98Epe+GQ3Wnwy2oIeyNRiRBYo\nV1SRKRagsRI8LlpkcSlwHAe/V0JKSSGeCcIt00J/pD5lCyUkMkUkcwqypTwySgY5NQtwBtwuER6f\niLBThnOeOm1/eJ4Dz3OQRB4uAIE9Pfe6YSKTUzGeGcZUzoForhVtqRYsbw/C76nOumhUk76KqhmI\npvJ7fj1nkSomkdNycMsCfB4JbW1uSGL1uxZ4noNbFuGWRYTgBGMM+aKOXDGN0WwMyIoIZoMIJoII\ned1L2pRI6tdsq1DAu/T98c0s6HNgdCKNeKaI7rCfxgOSumEYJuKZIqKpPFKFPNKlNLKlDHjBhN8j\noadVhryI5GehRIFHKOBEKOBErqAhmpxEWkkjX+pAVyiInjbr44iSIQAFRcNEPIt4dqaySCkpcLyO\nUMCJTo8fQo1vXhzHweuWZjbSbHVBKRlIZlJ4ORnDVM6HyXQLArIX7S0etAU9dLMlcxiGiUSmgLSS\nRl+rq9b28CU0AAAgAElEQVTFaSqyQ4AgmkgrWaRyAYT89Pcn9lYsaYimCoil80gpGSSLSehMQcDn\nQE+oOgnQ/njdEjwuEfFUCQOpAeTVdhRKGlZ1hywd99jUyVBJ1TEez2I6lUWsEEO6lIbXLaIz4oBb\ntu8NS3YK6GxzI2IypLMqJrIjmMpJSBTCmE4F0dnqQ6vfRb/+yV7JnIJMKQuHA2V37ZLyBX0OpHIp\nxDMhSoaIbeWLKsbjWSSyeSSVJFJKCg4H0Bpywuv21axO4TgO4RYZXo+E0alJ6AkdpsmwprfVsnFE\nTZkMabqBiXgOU8ks4sU4EsUEgj4JKyPeupphI/DcPk2J04kJxAtxJAsRtHr86G7zI+ilXZsJkMwW\nkS5lEPTRwOla8HsdmEpkkMor0A2zru4zpPEVFA3j8SximZmGgYyaQcArYVmna1FjgKpNdgjo6/Ri\naDIOLsVB4Dkc0ttqSZLWdMlQNJXHyHQasUIC8UIcXg+PFT3eJRkLVE2z3WjpnIqJ5AjiBTdShQgi\nAT+WtwepNaCJGYaJdH5mMH5HO60tVAsCz8EtC8irOaRzCloD7loXiRAoqo7xWBbRdBaxQhxpNYUW\nmzcMiCKPZR0eDI1H4Uw74Pc40dla+YSQpkmGVM3A0FQKU+kUxrMTcDhMLO+yV9ZrhYDXAb9HQiqr\nYiQ1iEwphFxRRW8kgDDdgJtSplBCXs1DdvK2vcE1A59bQjafQ4qSIVJje4eIpHOIF+JIKcm66h2R\nRB6dbW6MT0/AHXUj6J1Zm68STZEMzbYGTeWiSKsJtLfK8Hsat9+e4zi0+J0za5zE03gpnkVe7UR7\nNkitRE0olVOQVbPw0e70NeV1S4gmckjnFZgmo4kOZMkZhomxWBZTyZmWoKSSQMArYWWPF2Kd9Y54\nXCJ8HgGT+Sl4J504dHlbRedr6GTIMEwMTqYwkUpiPDsBp2yiv7s+Ml8riCKPnnYPMnkVo/FhZEs5\n5IoqVnS2IEBjiZoCYwzpfAk5NYfl4cb9AVAPJJGHJDHk1AKyhRLFIFlS6ZyCoak0pnMxRAtR+NxC\n3Q8RiYRkvDyaQSKXRSbvr2gNogX9FbZv345TTz0VPT094Hket95665znXHLJJeju7obb7cb69evx\nwgsvlF0oK5RUHf8cjmEgNoGRzDDaWgX0RDxNkwi9mt/jQH+XFyqXxu7EAP45Mk07aS+xWsVQtqAi\nV8qDFxi1CNqAzy0hp850lZGFqcf6x070PY0CLwxPYVd8AGkthmWdbnQu0bp51cTzHFr8DiSUJKZT\n+crOtZAn5XI5rF27FldffTXc7rl93VdeeSWuuuoqbNu2DU8++SQikQhOPPFE5POVFa5c2UIJLwxF\nMZgYRaIURV+XB35Pc8+imW0l8noZBlID2DUxhYGJJEyTHfzFpGK1iqF0XkG2lIPP3dCNwHXD65GQ\nVbNI50u1LkrdqLf6x05SOQUvDEbx0tQYBtMD8PpMLO/0LOk6QdUW9DmQVTOIZ/NQVL3s83Ds1Vuq\nL4DP58O2bdtw5pln7j3W1dWF8847D1/60pcAAIqiIBKJ4Lvf/S4+/vGP7/P6dDq999+BgPVL00dT\neQxMJjCaGQMvquiKuGu+aKLdZPMaJmIK2j0d6Ay0YlV3CJJYneCo9vddj5Yyhv5v9xRenH4JXREJ\nLpkSIjvYNZxBj68PR63oPug+gxQ/+7J7/WMXumFieCqNyVQaE9kJQFDR1Vb+9lF2NxEtwMFacETP\ncnSF559ZdrDvvuI2soGBAUxOTuLEE0/ce0yWZRx//PH485//XOnpF2UinsWu8RgGUoNwuXX0tFMi\nNB+fR8KyTjeixQkMJcaxYyQOVTNqXaymVa0YKpY05BQFJjRKhGzE65GQ03LUOmQBO9U/dpHIFPHc\nwBRemh7FUHoQgQBDX5e3YRMhYGZyQl7NI1dUyz5HxXfIyclJcByH9vb2fY63t7djfHy80tMv2Hgs\ni8HpOIbTQ2gLOWhxuYOQHQL6urwYmUxiKGGCMYZDelrhpI1fl1y1YihXVFHQ8nBTImQrHllEMlmo\n6MZNZtil/rEDTTcwNJXGVCqNidw4BElHf7en7scFLYRLFjCm5ZAtlMqeqdkQd8mJeBYDUzGMZIYR\naXUg4KVEaCFEgceyTi9GJjMYTs70lq7pDTf0L4hmkiuqKOhFuD30fdqJSxYwrueRK5bAGKNtc0jF\nEpkihqZSmM5FkVDiiIRkBH3Ns8CqKPBwSByKehGFkgbvQbqf51NxytjR0QHGGKampvY5PjU1hY6O\njkpPf1BTiRwGpuIYTlMiVA6B59Db4YHCshhOjmPnaByaTl1mS6laMZQtqChoBeoisxlR4CGKQFFT\nkFe0WhenrtW6/qk1xhhGoxnsGJ3GrsRuFFkKK7q9Tdkz4nIKUHQFhTJjquJkqL+/Hx0dHfjDH/6w\n95iiKNi+fTuOO+64Sk9/QKmcsicRGqJEqAKzCVHRTGMsNYmXx5NY5Lh6UoFqxFBJ1VFUSzCZ3lAz\nRxqFRxZR0IvUVVahWtY/tWYYJnaNJfDy1BQG0wNoCczcx+tt8USrSCIP3dShG2ZZr1/QT8Z8Po9d\nu3aBMQbTNDE8PIxnn30WoVAIvb29+OxnP4srrrgCa9aswerVq/H1r38dPp8PH/rQh8oq1EIUSxpe\nHo9jNDOKloDYlJmwlWYTosGxOBwpJ2SHiL6OYK2L1TCWOoZmxgsV4ZYpEbIjlywgm65swGezsGP9\nU2uKqmPXWAITmSjixWn0tLubfmygIHBQTL3sno0FTa1/5JFHsH79+jl92xs3bsRPf/pTAMBll12G\nH//4x0gmkzjmmGOwbds2HHbYYXPOZcXURt0w8eJQFAOJEUAsojtC+/xYRSkZGJ4sYJl/GVZ3tSPS\n4qnofM0ylfVgljqGhiZTeG5sNyS3gtZA+auykurQdBMDowUcGlmDI1e273fcEMWP/eqfWkvnFOye\nSGI0Mw7FyKK3ozkGSR9MNq8hleJwRNdqrOoOzXn8YN/9otcZqlSlFyNjDC+NJjAQH0dWi2N5p5f2\n+LFYJq9iOqahr6Ufh/ZGKlrivBFuPnazkL/p8wPTeGH6JXS2iTRmyKZ2DWfQ6+/H0Su797vJJMWP\nter97zmZyGFoKoHRzChEp46usJvqvz0Kio7pqInDO1fjNcvCcx6v+jpDS20insNEKo6kEkNvu4cu\nhCrwexwI+AWMpkexeyJBA6rrjKYbyJdUqEYJspO6yezK7RJR1ArIFqirjByYaTIMTCTx8sQ0BlOD\n8HoZeiJU/70aYzOblPNlzs6sq2SooGgYjaUwkZtAd8TdtAPFlkJbiwxeUjGVi2F4Kn3wFxDbKCga\ninoRLqdA07ZtzOUUUNSLyCuUDJH903QDO0ZiGIhOYTgzjPawA+EW2uT3XzHGwHMcyr3l1U02wRjD\n4GQKk7kp+L1C0w8WWwqdYTcSxRgmU2kkMsVaF4csUFHVUdJLcNIsMluTHTNTgYul8vdTIo0tX1Tx\n4lAMg/FxRAsTWNbphs8zf5dqs2MM4FB+y1DdZBQT8RymswkUjSxWtMy/9wixliTyiIRkTKTG4ZmW\n4XM7qraHGbFOsaShZJTgdtF3ZWcOh4CSXoCi6rT4IpkjmS1i11gcY9kxmLyCvm4vRKFu2i+WnMkY\nOI4vu+uwLv6ys91jk7lJdLXRgLGlFPQ5IEg6dZfVkWJJR0lX4JTqIryblsBzEAWgpKso0d6A5FUS\nmSJ2jsUwmB6C5NSwrMNDidBBaLoJkRfL/sFeF3/d0WgG0/lp+Kh7rCY6w27EizFMp7PIFmhzSTtj\njM20DOkqdZPVAadDQMlQUCzRStRkRixdwEtjUQylhuDzAh1hF7UaLoCmmXAIEpxlbidl+2QonVMQ\ny2aR0zJoo0FjNSGJPFr9DkQLUYzFsrUuDjkARdVRMlSIIqgFtQ44HTxKeonGDREAQDSVx67xKAbT\nQwj4OarzFqGkmXAITjil8hpMbJ8MjcWyiOanEQo4IdDNvWZCASfyWhbxbBapnFLr4pD9mOkiK9EW\nHHXC6RCgGCVqGSKYSuSwazyGodQQQgEB4SAlQouh6Q3cMpTIFJHIZ6AYebTQdhs1xfMcwkEnooVp\njEUztHeZTc0Mnlaoi6xOOB3CTMuQSi1DzWwqkcPuyZl9NltbRIRo1fhFMUwGwwAcggOORkuGGGMY\nj2cxnY8i3CJTk78NtPgdKJkFxPMZmmpvU69Mq7dtaJNXcUo8NENFUdVgmvQDoxlNJ/PYPRnHUHoQ\n4ZCEFj8lQotVVHS4JBfcslT2+Crb3jHT+RKShSw0VkTAS+sq2AHHcQgHZcQLcUwl87UuDpnH7Jih\ncpuKydLiOA4OiYeql6BQ61DTiaby2D0Zw3B6CG0hB204XqaCosMtueBzlf/3s20yFE3lkSwmEfI7\naSS9jQS8EhSjgFSBdty2I1UzoBkabdxYRySRh2ZqUGnbm6YSTxeweyKOofQwQkGREqEKFBQDbskD\nb6MlQ4qqI5HNI6dlEaALxFY4jkPQJyFZTCKaotYhO9F0A5qpg+dpJlk9mUmGdKi01lDTSGSKM4Ol\n08NoCQg0RqgCpsmgqAZckqvxkqFoKo+UkoLfLdIMMhtq8TuRLqURzxSgG2ati0P2UDUDuqFBEilm\n6okoctANnVqGmkQ6p2DXeAzDmREEfBxaKRGqSEHRIQsyvLIDQgULU9ouGTJNhli6gJSSooFkNiWJ\nPNwyj7SSRixdqHVxyB6qbkAzqYus3uztJqOWoYanqDp2TyQxkh6B18Now1UL5Io6vE4f/O7K8gVL\n7pqmaWLr1q1YsWIFXC4XVqxYga1bt8I0F99qkCmUkCnlIIgmZCcNArWrFr8DKYU2cLWKFTGk6SY0\nU6dl++uMJPLQDBozVC4r659qMgwTu8YSGM2MQ3TqiIRctS5SQ8jmNfgcPgS9lSWWluxt8c1vfhM/\n/OEPceutt+KII47AP/7xD2zcuBGyLOOiiy5a1LlSOQW5Uo525rU5j0vEmJlFVlGgakbZazuQGVbE\nkKrPDJ4WZeomqyeSyEM3S9QyVCYr659qYYxh90QS4+lpKEYWfe3eWhepIRQUHTwk+GQXPBWMFwIs\nSob+8pe/4JRTTsE73/lOAMCyZctwyimn4K9//euizsMYQzqnIKdm0dNKzYd2xnEcPC4BuVIO6byC\ntqCn1kWqa1bEkKrNdJPJ1E1WV0SBg27qUHXavb4cVtU/1TQWy2I8lUBCiaKvy0sTHCySyWsIOP1o\n8VXeymbJXfPNb34zHnroIezYsQMA8MILL+DBBx/Eu971rkWdJ69oyJWKAG/QdgJ1wOuSkFNpew4r\nWBFDqj47gJqSoXrCcRyEPQmRptura6ceWFX/VEs8XcBINInx7Bi6I26KT4swxpDJafA7AwhZkAxZ\n0jL0xS9+EdlsFocddhgEQYBhGLjooouwZcuWRZ1ntlXI66YusnrgdYuYjOWQyZdgGGZFI/mbnRUx\npGoGdFOHJFL81Ju90+t16nJeLKvqn2rIF1XsnkhgJDOCSMgJt2xJlUsAZAsaHLwMv2tm5elKWfLN\n3H777bjttttw++2347DDDsPf//53nHfeeejv78fmzZsXfJ5MoYScmkfYRxdMPRAFHrKTR06bWYAx\nUOEAtmZmRQwZpgndNGg5ijok8BxM04BBS1UsmlX1j9U03cDL40mMZcfgcYMWVbRYMqMi5OqwbIiG\nJVnHF77wBXzhC1/A6aefDgA4/PDDMTg4iCuuuGLBFyNjDAVFg6IrcMk+K4pFloDLKUDRFRRKGiVD\nFag0hhhjMEwTAKPxCHWI5zkYzIRB+5MtmhX1j9VMk2HXWAJj6UmYvIL2VhpTaSVFNaCqQMDnQ6vf\nmll5lvRrFAoF8Py+p+J5flFTG4slHYpegiRx9Mu2jsh7kqG8otW6KHWt0hgyTAaDmZQI1SmB52Ay\nY09CSxbDivrHakNTKUyk48hoCXRH3DQo3mKpjIoWuQXhgMey4RmWtAydcsop+OY3v4m+vj4cfvjh\nePrpp3HVVVdh06ZNCz5HXlGh6AoNnK4zskNAVCuiQMlQRSqNIcMwYZomKBeqTzwPGDq1DJXDivrH\nSpOJHMYTSUzlJ7Gs00PrflnMMBnSeQ0rg0G0Bd2WndeSZOjaa6/F1q1bce6552J6ehqdnZ3YsmUL\ntm7duuBzzHSRFSG7KRmqJ06HAIPpKGoqNN2AJNL3V45KY8gwGUxmUMtQneJ5DqZp0pihMlhR/1gl\nX1QxNJ3ESGYEnWGZftxXQTJTglfyocXrgctp3WQRjjG2pD9F0un03n8HAoG9/35xKIoXJl9CpE2g\nEfd1Zmgih1ZnF47q650zbmh/3zcp33x/02yhhGd2jyCqjKGvixZ0qzfJTAmlvIy1PSuxrP2VOKH4\nsVY1/56myfDiUBS74kNwyCVaYboKDJPh5ZEslgf6sbavE75FbMFxsO/eNu13qmZANTQ4aA2GuuMQ\neWiGStsJ1NBsyxCNt6tPrwygppahejURz2I6m0TJzCMcpMkk1ZBIl+B1+BH2+RaVCC2ELTIPxhg0\nw4DBdAgC3czrjSjytGBcjRnGTEVK3WT16ZUB1DRmqB4VFA1j8TSm8pPoCrsoDqtAN0wkMyrCrjC6\nwtbPOLdFMqTpJvQ9G0zSqPv6I+5dPZdahmrFMBlMmNQyVKc4joNBY4bqEmMMg5MpTOam4PcKcNEw\nj6pIpEvwOfwI+73wVrgP2XxskgwZe5IhupHXI2m2ZYhu5DVjMgaTmeBtEdFksQSeA4MJc2mHcBIL\nTCZyiGaTKBpZtLVQ91g16IaJZFZD2B1GV2t11iG0xa1TM15pGSL1RxR4ahkipEIMAOVC9aVY0jAa\nTWMiN4HOsJu6x6oknioh4Agi7PdVvDv9/tgi+9ANE4Zp0HihOiUIHAzTgE4tQzXDGANox/P6RV9b\n3ZntHpvKT8HnEeBxUfdYNei6iXROR9jdWrVWIcAmyRBjDAwMfIPfyJ/cOV7rIlQFB4CB0a9aUnWN\nGkPAnvsgBVHdmErmMZ1NIa9l0Baqn+6xeouh6aSCoLMFbQGfJRuy7o9NkqGZJuJG/3X01I76uggX\njNvzHdKNvGZmYog1egg1bAw1+vfWaBRVx2g0jcnsBDrCrrqauFBPMZQraCgUgYg3jO4qzCB7NWrX\nWwJP7hzHUzvGcf09TwMAXremC68/pKvGpSKkflAMEbvY2z2Wm4LHzcHrrl5rhZXqLYYMk2EiVkSX\ntxc94QCcjuqmK7ZIhjhuzy+jBm1YeP0hr1x0W055fY1LUwVsz3fY4N2cdjYTQ1yjhlDjxxCpG4lM\nEdFsGlktjRXt1W2tsFK9xdB0vAifFEDEH0SkxVP197NFNxnHcTM38gbvZnndGvtm4ZVgmKmICam2\nho4hjqMfFDbHGMN4PIvp3DQiIbmuusdm1UMM5Qoa8gWGiCeCvo7gksSFLZIhgefAc0LDr75q5ybJ\nShgmA88LtDSCDTT6D4pGjSFSH2LpAhKFDAyuBL+nPrrH/pXdY8g0GSZjRXT4OtEbCUKucvfYLFvU\nXpIoQBRE6EZj38gbla6bEDkREu0rVzPcTD9lrYtBysVmhgrQV2hfpskwEc8hlo+ircVJrXhVMp1U\n4Jb8iPiCaF+C7rFZtqi9JIGHyInQaW+ruqQbDKIgQhKFWhelafEcB57j0eCNqw3LZAwcaDsiO5tp\nFUrB5FT4PdVZ+K/ZFRQd2ZyBDk/7knWPzbJHMkQtQ3Vtb8sQdZPVjMBz4MHDpGyoLpkmg8DzdTkG\npRnMtAplES3EaMuNKjFNhvFoAZ3eTnSHA3A5l7Yb0ha1F89zkAQBHMfTKsZ1iFqGao/nOQg8JUP1\nyjAZOI6HQJvL2dJ0Ko9EIQ1e0OGr07FCdhdNKnAJPrT5WtDZ6l3y97cs8iYnJ7Fp0yZEIhG4XC4c\nccQR2L59+4Jf7xAFSIIEXaebeb3RdBMST2OGKlVJDAk83xSTEBqVaTIIHLUMlavS+udADMPEVCKH\naCGKcNBpyTnJvoqKjnTWQLu3HcvbAzXpLrZkmHY6ncZxxx2H448/Hv/7v/+LcDiM3bt3IxKJLPgc\nLqcIWZShqCpkJ7Uw1BNFNSC7ZLiXuFmzkVQaQwLPQeCoZaheGSYDzwkQqKt50ayofw4kmi4gXkhB\nEA143S5LzkleoRsmxqYL6PR1oac1ULWNWA/GkmToyiuvRFdXF2666aa9x5YvX76oc7idEmRRRlEp\nIOijwWn1QtdNMJOHLDmrvkJoI6s0hgSBB8fx1DJUp6hlqHxW1D/7wxhDNJVHohhHWyu1ClmNMYax\n6QL8jhA6Aq3orOJGrAdjyc+Q3/3udzjmmGOwYcMGtLe34+ijj8a2bdsWdQ6PywGXKENRDSuKRJZI\nsWRAFqlVqFKVxtArLUNVLCSpGpMBPC/QmKEyWFH/7E86X0K6mIMBtW623agnU3EFvCmjO9CBlV0t\n4Gv4Y8CSyNu9ezeuu+46rFy5Evfffz8++9nP4ktf+hKuu+66BZ/D5RDhFGWUNLPhF45rJIpqwCXJ\n8FRxN+FmUGkMCTwPnheom6xOmSYDD2oZKocV9c/+TCfzSBSTaPFTq5DVkpkS8gWg29eNlV0tNZ+A\nY0m/hmmaeOMb34hvfOMbAIAjjzwSO3fuxLZt23DOOecs6ByCwMPtkOAQnFBKBlwydbnUg2JJR4sk\nw03JUEUqjSF+T8vQzLlYTX9hkcUzTQZB5GnMUBmsqH/mo6g6kvkCcloWHb762YOsHuSLOmJJDcsD\nfVjRGarZOKFXsyTyOjs7ceihh+5z7NBDD8Xw8PCizuN1OeCRPMgXdSuKRarMNBmKJRNuyQOvDS7m\nemZFDM1ua0OtQ/VHN/YMoKYkdtGsqn/+VTSVR6qYhN8t0vdiIU03Z9YT8nWht60FrQF3rYsEwKJk\n6LjjjsOOHTv2ObZjx45FD2ILemV4HV5kC5oVxSJVli/qkAUX/G655k2c9c6KGHJIAiRBhEYrudcd\n3TAh8RIcFEeLZlX982qMMSQyRaSUFHWRWcg0GUYm82h1RdAVDKE7bJ8WN0uSofPPPx+PP/44Lr/8\ncrz88su44447cM011+BTn/rUos7jczvhdbihaRzd0OtArqDB5/Qh4KGbRaWsiCFJFCDxEjRauLTu\n6DqDRAuXlsWq+ufVMvkSMqU8OMGkpV4sNB4twCX40OVvw4rOFlttP2NJMvT6178ev/3tb/HLX/4S\na9euxdatW/GNb3wDn/zkJxdXGJ5DwCPD4/AgR61Dtpct6PBKXgS9tDx9payIIYcoQORp4dJ6o+sm\nBF6AJAg01qsMVtU/r5bMKcgoGQRotWnLxJIKdFVCt78LK7tDthsfZ9ko5ZNPPhknn3xyxecJemX4\nHD6kCpPUPGljRUWHyDvgleUl30OmUVUaQzPdZBI0PW9hqUi1aboJkRfhkKgFolxW1T/ATBdZKqcg\nq2awrJUWWbRCNq8hlTHQF+zFis4WyDZck85eqRmAgFeGz+lFUWHUVWZjqawKv9OPFh/dLOzCQd1k\ndUmj8UK2ki2oyJXyEAQGp4O+k0opJQMTMQU9/h70tYcQsGlPgu2SIVHg0ep3I+AMIJVVa10cMg/D\nZMgUdATlIMI2mQlAXhlATd1k9UXTGUReopYhm0jnFWRLOdqQ1QKKamBkKj+zE31rCO2hpd+AdaFs\nlwwBQFvQgxZXC5IZlRZgtKF0VoVX8iHkdduyubNZzYwZotlk9UbTTUgCtQzZRbagoqDl4aa17ipS\nUg2MTObR7u5CT6gNy9sDtS7SAdkyGfK6HAi6PXAKLmTyNJDabpJZFS2uFrQFPbUuCnkVSeQh8RIM\ng9GPiDqi63u6yahlqOZ0w0S+pEIxFLhoFlnZVM3A8GQeba4O9ITCtps5Nh9bJkMA0BZ0o0WeaR0i\n9pEraOCYhIDspSn1NsNxHBwStQ7Vm5mWIZFahmwgX1RR0AqQHTSzr1yabmJ4Io82Vzt6QxGs7ArV\nxd/StslQyOdC0OWHoQs0zd5GYqkSWl2tiLR4bJ/pNyOnJMIhOKFqlAzVi5JmwiE44aQu55rLFlUU\ntQLcMiWm5dB0E0MTOYRcEfS0RLCquz4SIcDGyZAg8Ohs9aHN3YZoUql1cQhmpkeahohWdxBtNHDa\nllxOEU7RCUU1al0UsgCqZkDkRMiSBNFm6640o5mWoSKNFyqDqhkYGs8hJEfQE6yvRAiwcTIEAJGg\nB62eIGBKyOSpu6yWGGOYTiqIuNvQ2eqz3YJZZIbLKcEpOFFSqWWoHpRUE07RCZeTKl87UFQdqlGi\nKfWLVFINDE3MbLPR29KOQ3pa666OsHVpeZ5DV9iHiKcd0wmFBoXWUDqnQWBOhDwBtAWpVciuXA4R\nsuhEiVqG6kJJNeAUaOFSOzAME6phwGAGJNHWVaOtKOorg6V7W9qx2oarSy+E7Uvc6neh1eOHg3PT\nYOoaMU2GWFJBxBtBd9hPY4VszOWU4BCdUHWTfjzUAUUzZlqGaLxQzZU0A6pegoMSoQVTSjPT5yPu\nTvSGIlhdhy1Cs2xfao7j0N3mR7u3HbGUClWjX7xLbTqhwC35Efb60eKz5+qhZAbPc3A5JEi8AyUa\nRG17JdWEU3BSy5ANzHSRaXBItq8WbaGg6Bjes47Qstb6GyP0r+riWw96ZXQEA2h1hTERK9a6OE0l\nX9SRzRvo8LSjryNIrUJ1wOWYGURNXWX2xtjMlkNO0UGLl9qAphvQTI26yBYgmSlhdKqILl8PlrW2\nYWVXS10nQkCdJEMAsKw9gHZvGEyXkMyUal2cpmCaDBPRAjq9nehpC9Cv1zrhckqQBUqG7G52Sr3L\nIdV9RdIITMbAmEnfxQEwxjAZKyKRMtEX6MfK9nas6LL/gooLUTfJkCjwWNYeQKevC9EkdZcthdnu\nsYi/BR023lOG7Gt2ej3NKLO3mcHT1EVmF6bJYDKG+q/Wq0M3TAxP5qGVJPQH+3BIdxt62hpnDGnd\nJOIrZecAABlCSURBVEMA0OJzoSMYQNjdhrHpAkyTBohWSyavIpc3qXusDrmdElyiC8US/WCws6Ji\nQBZluGVKhuyAAWBg4KhlaA5FNTA4loOLC2JFqA+HLY+gtcHWmqtKMnTFFVeA53mcd955lp97WXsA\nnf42ODgvjR+qEqVkYDJWQo+/F8vbW+iXaw1UEkNOhwiXwwmeE6mrzMYKig6P5IbX5ah1URpKubFj\nmnu6ySgX2kc2r2F4ooA2dyf6w904dHkYnga8Zi1Phh5//HFcf/31OPLII60+NYCZ7rKVXS3o9ndC\nKwmIpWh1aivpuonRqfzMOKHWFkRaaDPWpWZFDHldDrglNwqKbmHJiFV0w4SqMciiDA+1DFmmktjh\neQ48J8CgHoe9YkkFUzEVy/zL0N82s5ii1KB76FmaDKXTaXzkIx/BTTfdhGAwaOWp9+FySljZ1Yoe\nfw+SaZ32LrMIYwyj0wUEnCF0BlqxrD1Q6yI1HatiyOd2wC26UFCoZciOlJIB955WIeqCtkalsSMJ\nPARegG5QMmSaDKPTeeRyPPqCfVjVGUF/Z/3PGDsQS5OhT3ziE/jABz6AE044wcrTzivolbEs0oIe\nfw/GowqK9Au4IowxjEULEOFGd6CjYWYI1BurYsjrcsAluSkubCpf1OGWXPC5nbUuSsOoNHYkUYDI\ni9CN5p54oOkmBsdzEAwPVoT68JreCNqbYAKNZYtbXH/99di9ezd+/vOfW3XKg+ps9UFRdRimgZGp\nMSzr8EB2NmYTXrVNxIowVSf6WnqwsivUsE2hdmZlDLmcEtwOGYzx0HST1k6xmWLJQJtM44WsYkXs\nSCI/kwypzdsylMqqmE4oCLsj6PK3YWV3qGnWwLLkU+7cuRMXXXQRHnvsMfD80t50+zqCMwPfwDAy\nNY7edkqIFmN23QhVEdHX0oPVPa00u6UGqhFDs61DBUVHwEuVrl2YJoOiGnD5XDReyAJWxY78qsVK\nGWNN1TKu6SYmYgUYmohl/j60BwPo7wjW7dYa5bAkGfrLX/6CeDyOww47bO8xwzDwpz/9CT/60Y/+\nf3t3EiPHXfZx/FtVvdbSVV29zubxmsQsCgQnYOfAogQJRQrkQCQuUbiQQwImvkEQiENkiQsSBxLh\nEygIjJCQJQQHC+yY2EZIEfglufCGvIntzOLZel+rq95Dx36ZN449S8/09nyk0Vjt7q6a6flVPfWv\n/0K1WiUc3pnQK4rC/skkN2v5qwtzzOR04rHxqGa3IwgC5pbqeK0we5Mz3DOdlivVPtmJDN3qRF1f\nlWJogNSbHWJaHDMWGauTzU7pVXbCIQ0jGiWkRmi2/LG5qF4rNVlaa+LGUmTdDHuy9sgNm9+InlQM\nTzzxBA8++OC6x55++mnuueceXnjhhR0rhG5SFKU7HbiioKBwbXGOfDpKwpATwIfp+AHv3aiidGLM\nOtPcO5ORQqiPdiJDVrzbiXqtKp2oB0mt4aGHTclbj/QyO2Y8ghHWqTYaI18Mtdod5pfrBF6YWXsf\nOTvBnpw9tl0kelIMJRKJdVU5gGEYuK7L4cOHe7GJu1IUhX0TDqqqEFJDXF++TrPlk0nKwqL/X7PV\n4fqNGoZmM5XMc2gqNZLzRgyTnciQHgtjRHX8ktKd7Tgynge5QVOutskbJgnpPN0TvcyOFY+ghw0K\n9TIpe3Q/n9Vik+VCi1Q8TdZOMZtzSFrxfu9WX+3YvaR+3G9VFIW9eYd4JNQtiErv0WxVmczoIz0k\ncDMqtTZzS3Wyep4JO83BKZdIWE6Sg2i7GVIUBduIYhUtKvWGFEMDoO35eJ6CGdFJGKN7su23rWbH\nNmNYUZOFSrflZNSOjc1WtzWIToS99j7yyQQzWZuQ3K7duWLoz3/+80699V3lXJNYJERkPsx7pTne\nmSszldXH+mQQBAErhSZrJY/pxB6mki57844UiQOsFxlyzBhm1GK5OtpXusOiXG1jRk1sIzZWHXR3\n21azE9JU0rbBUtVhtVQmnxqN1pIgCFgpNlkptMgYWXLJNHtyNo4pd05uGtlexrYZ4/Bshsh7Ggul\nZd6dv4Frh0nZ0bE7CN28GlD8KHudaWazLhMpq9+7JXZBQo9ihg3eKwV4HV+uAPusXGvjRlJyEhpg\nWcdgYc3hfwqrZJIxtCG/YCxX2yytNdCIsT+5n3zSZiaTkM77/8/IFkPQHSp535405lIEY81grjxP\npVZlIh0fi1aim1cDq8U2GT1Dzkozm3OkeX6MaJpKwohilA0qNQ/Hkr5h/dLxAxpNH9M0JYMDTI+F\ncU2TlZrD4kqFycxwjqyq1NosF5r4nRAZfYKU4cjx/w5GuhiC7slgNt/tHGYsxlgsL/Pu/BJuIoxr\nR0f2NlG94bG42kDxo+xzpplI2kzL1cBYcswYVsSiXLshxVAfVWpt9LBOQo9JC92A25OzKdezvLVa\noVJrY+rDMx9Ute6xtNag42lk9DwpwyHvmqRt6Tt7JyNfDN2UMKJ8ZDZDYimKuWayWL3Bv8tl0k4U\nxxqd9YGarQ5Law0aDUjrWbKWK1cDY84xY5gRk4W1eXw/kANin5RrbaxIWm6RDYFYJMR02qbammBu\n+Rr7JjVCAz6Le63RLYLabZWMniPlOORck6xjSOY3YGyKIfi/ViI3EcdZNlgpl7hRWmKlWCbrxoZ6\nXqK257O81qBc9UnpKaZTSfJJi7xrSmvQmAuHNBJ6jFgpTrXuYRnDc5U7KoIgoFrzyLsWtlyYDIVs\n0qBQcWh4Dd5dWGZ2whjIFr1Krc1qqUmrqZDWM7iJJPn3iyA59m/cWBVDN1l6lPv2RFkrGzjLJivV\nEkurN1haK5O0IthWZGg6zdUaHmulFpWaRzLmctBNkUtaTKTMsZ08S3yQY8awowmK1WUphvqgXGsT\nC+kk4jGiY7LW07BTFIUDUy4dPyBY83l3fpWZnD4Qw+29jk+x0mat1EQjQjKWJZmyybsWuaQUQVsx\n1qlMWnEcM8ZKyWR+xaJQr7BWXWOpUCahh0gmogM5C6nvB5SqbVaLTXxfIxlLkncd0gmDqbQlB1vx\nAalEHCuaYHF1UUaV9UGh3MKJ5UglhrMz7rgKaSqHpl0AtKLGO3M3yLqxvvW9qzU8CuUW5ZqHFUkw\nZeaw4yYZxyBt65LrbRj7s6aiKKRtnVQiTrFqc2PNYa1SpdAocH2hgKr5WEYYMx7q63pnXsenWvco\n19pU6x2MkEFWn8KJWaRtnYxjDMQVixhM4ZCGa+lY1QTFSlPmHNpFbc+n3giYSVm4idGYt2achEMa\n986kiIY14gWd+cIcpWqFnLs7o5JrDY9ytU252kZVIiSiDgeSDq6pk3UMEsb4TRezE8a+GLpJURQc\nM4Zjxmi0bJYKNiulLOVmlUqzwly5jE8NMx7C1MPEohrhHexQ5/sBzVaHWrNDpdam0fQxwgZmxCaf\ntHD0OBnHIGnJ5G1iY9K2jr1ms1i+LsXQLiqWW9jRBK4lV+7DStNUDky53VHJN2IsVpa5Or9KNApu\nIooRD/XsONxqd6g1OtQaHtW6h6ZEsCIWMwkbKxbHteKkbJ2Y3AHoKflt3kYsEmIm2x2KXq61KFQa\nFKsNKo0G5VaZQqFKw6sR4BOLqsQiWrc40lRCIZWQpmw4GB0/wPN8vE5Aq92h3uzQaHZoeT5RLUo8\nFCcVSWOYBrYRwza6BZu0AonNso0odsxkvqJRb3h9bekcJ4Vyi2lrgvQYrgQ+atxEHEuP4K7oLBdT\nFBollldWmfPL6HENPRpCj4eIhNS7juDy/YCW59Nu+7Q8n0azWwARqOhhAz2cIJ0wMWOxW106ZHHf\nnSNHwztQFIWEEX1/WLpNrdHuFkX1FrVGm0a7RcNrUG/XKdWbtP02nu/R8TvdBWM1BVVVUBS4WRsF\nQffL63QLIAWVkNpdSy2iRYmHYrhGnGgoih6NoMfC2EaUhB6VTnFiWxRFIWXrOBWHYqUoxdAuqNa9\n7q2NuIGly4lsFIRDGntyNlNpi+VigqWiS6VRp9auU6tVWSvWaXdaKAr/cXEMvt8dVRgE3ULI6wSE\ntQgRLUxE0zG0KJmEjh6JYsYjWHr3ux6TAQ+7QY6Gm6DHwuv+MFvtDtVGtzCqtzzaXoe259P2Oni+\n1y2MAp+A4NZrFLqtRiElREgLEVJVwqFuq1I0EkKPhjFiYeLRsMwNIXoulYjjLNu8XVgm68bkb2yH\ndTtOu6QSutzOHjGappJzTXKuSbPlUa63qLz/1Wp3aL9/Yez5HgEBqqKiAAoqmqoS0SJEwhqxSIjo\n+98tPSq3v/pEfuvbEAlrRMJxktb6TpFB0F0Hqu35dHz//dagAEW52UqkENJUwpoqrT1iV8WjYWxD\nJ17RKVXbMiP1DvI6PpW6Ry6ZkFtkIy4aCRGNhNZ9zt1zQAev0z0HqKqCQve7qihEwpoUyANEiqEd\noChKt7VH5vkRAyhj6yyWXG4U35NiaAcVSi2sSALXHIy5acTuCmmqdJgfIvJJCTFm3EScZDyBEoSp\n1Nr93p2R5PsBq6UWqXiKvGv2e3eEEHchxZAQY0ZRFHJJg1Q8zXKh2e/dGUmFcgs9bOKaJpYu0xgI\nMeh6UgydPHmShx56CNu2yWazPP7447z55pu9eGshxsJuZyjjGLi6TcfTqNa9HdvOOAqCgNVik7S0\nCu0KOf+IXuhJMXThwgWee+45Ll++zLlz5wiFQjzyyCMUCoVevL0QI2+3M6SqCtmkQSruslJs7Mg2\nxlWx0iai6iQNS1ao3wVy/hG9oARBENz9aZtTrVaxbZszZ87w2GOPrfu/YrF469+2bfd602LAyOe9\nNbuRIa/j81//XuC/V95iOh8byHX4hk0QBLz9XoW8Ps3H9kxte/kNyc/myflH3M7dPvsd6TNUKpXw\nfZ9kMrkTby/EyNuNDIU0lWzSxNVTLEvrUE+Ua220IEJSt0ha0irUD3L+EVuxI8XQ8ePHeeCBBzh6\n9OhOvL0QI2+3MpRLGiRjDvV6QKPZ2dFtjbogCFhaa5LW0+RdU+aQ6RM5/4it6Pk8QydOnODSpUtc\nvHhRDgZCbMFuZigc0si7FoVGmsXVZWYnpMPvVhXKLULESJmOTLLYJ3L+EVvV05ah559/ntOnT3Pu\n3DlmZ2d7+dZCjIV+ZGjCNUkbLh0vJPMObVHH77YK5YwsU2lLTsR9IOcfsR09K4aOHz9+6w/x0KFD\nvXpbIcZGvzKkaSqTqQRZPcPiaoMdGFMx8lYKDcxIgrSV+MDyPGLnyflHbFdPbpM9++yzvPLKK5w5\ncwbbtllcXATANE0Mw+jFJoQYaf3OUMbRWSo4rDXWWCk2STvS+Xejmq0OhbLHfifDdCbR790ZO/3O\njhgNPRlar6rqbZuFf/CDH/D9739/3WMytHG8yOe9MYOQoVK1yZvvLvA/xbfZP2USDskE9RtxdaGC\noaa4Nz/NbN7p6XtLfu5uELIjBt/dPvuetAz5vt+LtxFibA1ChhJGlKxtUWy6LK4Wmc7KVfXdlKtt\n2i2NTCrFlLQK9cUgZEcMP7n0E0LcMpO1yRhpmg2VUrXV790ZaF7HZ365zoQ1wXQmISuUCzHEJL1C\niFsiYY09WYcpa5KF5QZtT666P8z8Uh0n6pJLOGQcaUUTYphJMSSEWCfjGOQcBzeWYm6p1u/dGUhr\npSZeWyNvZdnb435CQojdJ8WQEOIDZnM2eStL4EVYKTb7vTsDpdnqsLTWYtKaYm/eIRKWNd2EGHZS\nDAkhPiAc0tibd5hKTLJSaNFoyVId0F1yY26pRkbPMJG0ZU4hIUaEFENCiNuyzRiTrkNWzzF3o4bv\ny2SMS2sNQsTJWWn2ZGVothCjQoohIcSHms4kyCdSxDSLuaXaWM9OXay0KJV9JqxJ9k0k0WT0mBAj\nQ9IshPhQqqpwYMplOjFJpx3hxmqj37vUF7WGx+JKk+nEDPtyLmY80u9dEkL0kBRDQog7ikVCHJxy\nmUlMU6l2R1KNk2arw/XFGpPWFHsyLtmkDKMXYtT0ZAZqIcRos/Qo+ydcPL/DO6vvEA6pmHq437u1\n47yOz7XFKlk9x1QyJWuPCTGipBgSQmxIytaZbbt0Ao9rS9fYk1eJRUd3WLnvB1xfrGFHXCadDPsn\nkrddA0sIMfykGBJCbNhk2qLldfB8j2uLc0xndeKx0TuMdPyA64tVIorJlJ3n4JSLqkohJMSoGr2j\nmBBiR83mbLyOj4LCtcU5JjOxkbpl5nV8ri1UiasJZpwpDk2nCIdGtwVMCCHFkBBikxRF4cBkEk1V\nUFWN60vXyKcDEsbwj7Bqez5XF6okwkmmnQkOTblEI3KYFGLUScqFEJumKAr7JpKENBUVlWvLV/F9\ncKzhLYiarQ7XFqq48SxTdpZD0660CAkxJno6tP6nP/0p+/fvJx6Pc+TIEV577bVevr0QI2/YMjST\ntdmfTzNr72V5tc3SWmMoJ2as1NpcXaiSjufZk8xx74zcGhs2w5YdMVh6VgydPn2ab3/723zve9/j\nH//4B8eOHeNLX/oS169f79UmhBhpw5qhiZTFwck0e5291Ksh3p2v0moPx1pmQRCwuFJnfqnJpDnD\nbDrHoemUzC49ZIY1O2JwKEGPLuM+85nP8IlPfIKXX3751mP33HMPX/3qV3nxxRdvPVYsFm/927Zl\nbZ9RJ5/3xg17hsq1Ju8sFJgvLbFSXyKXimGbg3vbrNnqMLdUI4zOhDXBTMYh75oDNXx+UD/rQTPs\n2RE7726ffU8uf9rtNq+//jqPPvrouse/+MUvcunSpV5sQoiRNgoZsvQoh2czHMxOsSexl+XVDu/d\nqNEZwAVeC+UW787XcCIZDqT38tHZHBMpa6AKIbExo5Ad0X89KYaWl5fpdDrkcrl1j+dyORYWFnqx\nCSFG2qhkKKSp7J9Mcu90jgPuPrSOwb+vlVkpNgdi1ftKrc07cxXWCj6z9l4O5qY4vCeNIWuNDa1R\nyY7or76OJvvPZishxOYNaobCwMGcycGc2e9dWc8AMusfqlTKfdkV0V+Dmh3RHz1pGUqn02iaxuLi\n4rrHFxcXyefzvdiEECNNMiTE1kh2RC/0pBgKh8N86lOf4uzZs+seP3v2LA8//HAvNiHESJMMCbE1\nkh3RCz27TXbixAmeeuopHnzwQR5++GFeeukl5ufneeaZZ9Y9T3rwC3F7kiEhtkayI7arZ8XQk08+\nyerqKi+++CLz8/N87GMf449//CMzMzO92oQQI00yJMTWSHbEdvVsniEhhBBCiGE01tOsbnb69r/8\n5S98+ctfZnp6GlVV+cUvfnHH5588eZKHHnoI27bJZrM8/vj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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -981,7 +984,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "By default the function displays one standard deviation, but you can use either the `variance` or `std` parameter to control what is displayed. For example, `variance=3**2` or `std=3` would display the 3rd standard deviation, and `variance=[1,4,9]` or `std=[1,2,3]` would display the 1st, 2nd, and 3rd standard deviations. " + "This code uses the function `plot_covariance_ellipse()` from `filterpy.stats`. By default the function displays one standard deviation, but you can use either the `variance` or `std` parameter to control what is displayed. For example, `variance=3**2` or `std=3` would display the 3rd standard deviation, and `variance=[1,4,9]` or `std=[1,2,3]` would display the 1st, 2nd, and 3rd standard deviations. " ] }, { @@ -995,7 +998,7 @@ "data": { "image/png": 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mzRqMj4/jf/7nf/a85rouNm7ciFNOOUXkpYgoBS03QDtwoaoQFoiSJEGt6aLh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\nOHHiRLitvr5eSJIk/vjjj1jHjKlFixaJV199Vek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++dyPkY5zMW5kJbQaXiVL9K8yNmmeiNThDXYjEA3AYurzDACijBJFASa9hGA0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\nvWBFtaMSo6qKIEmcskukprQ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hyrK4fQNexU8n0GQs05BlmLLtRleCvWHbjizDlEXXCvAswhXQZCzLHJ0WpHPl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\n10uq2bXRQOXYMmTIMAyZMhS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DKmLp0qV45513cOjQobNeY+AiSh8uXxjN3V7YA3bkmQTotezZyhbd7ijkESPG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\nIqIEY+AiIiIiSrC4gWvNmjWQyWT9/hQ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IhKKEolEi8TCxRIxoIkY0Hq36/3iUmIoRi0dRKL7z7wMg5YgWDRpStCmk69Ix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cDoLZYWIaHiaEENIbKPyRXlNVZkG8pRU1vji8wSQclsE9/NsdOh0Pi1GExSgi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\nIiKiPMLwR0RERJRHGP6IiIiI8gjDHxEREVEeYfgjIiIiyiM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eiYwMY0IPZFBkewDAD7+ckXkSup8ffytA7LJvAQD/mNmf990inWBM6IE82qUt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\nNAmFhYUyTvzgGvNvW2fGjBl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zM3p6eri6uqbba+38+fN06dIFjUbDjBkz6Nmzp1oWEhKCvb09Go2GadOmMXz4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\niIiIiCSCxY2IiIhIIljciIi6ER8fDwsLC1y4cKHLz/Ly8iC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27DmsWvXsKZit7WgCA8HfvzAmJhqKF0f3ZWmp5s6d27i4uHDw4EEARo0axcKF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\n", 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JISgoCBsbG7p2recPxD0YNGgQSqWSgICAar+fkpKie6+lS5fqrqenp/Pqq6/S\nrVs3nJ2d8fPzY8KECZw6dcpSRa+TBG5CCNGE6C+8a+nAbZVeS9UTD4FSWb9N2/UnKOi/lzl4uiro\n1017XFEB66qPUZotlUrF8uXLq1zfu3cvZ8+erXbmcnx8PKtWrcLT0xNPT09LFFNHoVCgUqk4c+ZM\ntT87y5YtQ6VSVenK/9vf/saqVasYOnQoCxYs4KWXXmLnzp307t2bo0ePWqr4tZLATQghmoiKigr2\n79+vO7dk4KbRaAyWAalPN+kdwcHBODo6AnDp0iUuXbpU/4fWQrpLazZy5Ei+//571Gq1wfXly5cT\nFBREx44dq9zz7bffkp+fz7Zt22ps+TInPz8/unbtWiXgLC8v53//+x+jRo2qcs8bb7zBr7/+yvz5\n84mNjeVPf/oTycnJlJeX89FHH1mq6LWSwE0IIZqIM2fOcP26tq/S1dWV9u3vc0rnfTh4Cs7nao/b\ntIRBvev/TFtbW0JCQnTn+t3A5qAfbG5Og8Ii6S4FbevVpEmTuHr1Kps2bdJdr6ioIDExkejo6Gpn\n/fr4+Nz35JTZs2ejVCpJSkoyuP7mm29ia2trsBdvbaKjo0lMTDQo34YNG7h27Vq15e7bty+2trYG\n1zp16kRwcDDHjh27r3cxNQnchBCiidDvEgoNDb3vP5r340e9rsWRfcHO1jR568+KNXd3aUdfBd06\naI9LSuHn9NrTNye+vr4MGDDAoPUqKSmJy5cvEx0dbfL83nnnHUJDQ3n++ee5ceMGAMnJycyfP5+Z\nM2fSr18/o54THR1NTk4OP//8s+7ad999R2RkJO3atTO6PLm5uRad6FMbowO3RYsW0aFDB1QqFWFh\nYaSkpNSYNjMzk8GDB+Pp6YlKpaJjx478+c9/pqyszCDdjh07CAsLQ6VS0alTJ7744ov7fxMhhGjm\n9FukLL0MyPrUyuNRkaZ7rv57mLvFDWBk/8rjn4xr1Gk2oqOjWbNmDUVF2oX6li1bRkREhFladm1s\nbFi6dCl5eXlMmzaNwsJCnn32Wbp168bs2bONfo6fnx99+/Zl2bJlABQWFrJ27Vqefvppo5/x7bff\ncvHiRSZNmnTP72EOtnUngcTERKZPn05CQgKRkZF8/vnnjBgxgszMTHx9faukt7e359lnnyUkJIQ2\nbdpw6NAhpk6dilqt5pNPPgEgKyuLUaNGMXXqVJYtW0ZycjKvvPIKbdu2ZcyYMaZ9SyGEaAastbH8\n5Wsa9mXVI8o7AAAgAElEQVRqj21sICqi9vT3IiQkBKVSSUVFBcePH6egoABnZ2fTZXCXx/rD37/V\nHm/YrR27Z+qWy/nz5/PZZ5+Z9Jn6XnvtNaZPn27y544bN45p06axevVqxowZw5o1a/j4449Nns8d\nQUFBzJkzhzfeeIOTJ09y8eJF9u7di52d3T09Jzo6mnfeeYeEhARWrVpFeXk5Tz31FGfPnq3z3uPH\nj/Pqq6/Sv39/nnvuuft9FZMyqsVt3rx5xMbGEhsbS2BgIAsWLMDLy4v4+Phq03fs2JEpU6bQvXt3\n2rVrx2OPPcbkyZNJTq5c1TA+Ph4fHx/mz59PYGAgU6dOJSYmhrlz55rmzYQQohn5/fffOX/+PAAO\nDg4EBwdbLO8Ne+DOUKH+3eCBVqYLdFq2bElgYCCgHVN14MABkz27On2DwaWl9vjC7/CL+fa3b3Rc\nXFyIiopi2bJlrF27lqKiIiZMmGDWPKdPn054eDj79u1j1qxZ9OzZ856fMWHCBG7dusXatWtZvnw5\nUVFRuLi41Hlfbm4uo0aNwsXFhf/9738WHXpQmzoDt7KyMjIyMhg2bJjB9eHDh5OamlrDXYZOnz7N\nxo0bGTRokO7anj17GD58uEG6qKgo0tPTq8xaEUIIUTv91raePXtib29vsbx/0vtToN/VaCr6s2P1\n39McbG0VPKq36fyPxv2Zazaio6PZvHkzCxcuZOjQobi6upo1v6ysLDIztc25hw8fvq9nuLu7M3jw\nYBYuXMjPP/9sVDfpjRs3ePTRR7lx4wYbN260+HImtamzqzQvLw+1Wo2Hh4fBdQ8PD4PBftWJjIxk\n//79lJaW8sILLzBnzhzd93JycqoEgx4eHpSXl5OXl1clvzvM/UvbWEm9VE/qpWZSN9VrrPXy008/\n6Y59fHzM8h7VPbNcDetTewE2APi3Okp6erFJ833ggQd0x9u2bWPgwIEmff7dgjwfALTjtlZsLiAq\n+ESt6dPT0/Hz86NFixZGPX/69Olm6cq0hCeeeAIHBwdSU1NZsmSJ2fN77rnnUKlUvPnmm7z//vss\nX778viZDREdH8+yzz9KqVSsef/zxWtOWlJTw2GOPcfr0aX7++Wddi6+xbt68yZEjR6r9XufOne/p\nWdUxaozb/VqxYgU3b97k0KFDvPnmm3zyySe8/fbb5sxSCCGapRMnKoOLoKAgi+V76KwzhcXaoM3r\ngRI6eJk2aAMM/nCePHkStVqNjY2NyfO5o29QPkqFhgqNgiO/OnG9wIY2ztITBNqFeBMSEjhz5ozZ\nx6PPmzeP5ORkvv/+e8aOHUtKSgr/7//9P93kx3sxduxYsrKy6NixY60BdkVFBePHj2fv3r2sXbvW\nYBHohqLOwM3NzQ0bGxtyc3MNrufm5tZZcT4+PgB06dKF8vJypk6dysyZM1EqlXh6elb7TFtb21qn\n3Fp6JfCG7s4nYKkXQ1IvNZO6qV5jrpfCwkKysrIA7ZpbEyZM0G3Qbgq11c1/91SugzV6kAPh4eap\nPy8vL7KzsykpKcHJyYlu3bqZJZ87+nXXsOsX0GgUZBf3YuigquOb9OuluNj0AWtDcfdaZ5MnTzbq\nvuTkZHbu1K7K/Ouvv1JYWKjreXvooYdqbTk9ceIE77zzDpMmTWLs2LEA/Oc//6F79+48//zzBi3M\nxnB2duYvf/lLnelmzJjBunXr+MMf/kBeXp5uNuodxrx7y5Yta/x/JD8/37gC16LOwM3Ozo7Q0FCS\nkpJ48sknddeTkpIYN26c0Rmp1Wrdl1KppF+/fqxevdogzebNmwkLCzPrJykhhGhqDh48qBsbHBAQ\nYNKgrS4Gy4AYt7TWfQkNDeXHH38EtAGTuQO3kf1g1y/a4/Wp8MyjZs2uQTN2UP7d6bZu3coHH3xg\ncO1O8PTee+/VGLhVVFQQExODi4sL//znP3XXfX19+eyzz3juuef46quveP755+td7rvTHDp0CIVC\nwbp161i3bl2V9MYGreZkVFfpjBkzmDJlCuHh4URGRhIfH092djZxcXEAzJo1i7S0NLZs2QJo1zxp\n0aIF3bt3x97enrS0NP70pz8xbtw43TTeuLg4Pv/8c15//XVeeuklUlJSWLp0Kf/973/N9KpCCNE0\n6a9vZsllQM5e1HD8V+2xygEeMePScWFhYQaB27PPPmu+zIBR/eHPt5cW3bQPyss12JpoUeHGJCYm\nhpiYmDrTVTdx4L333uO999675zyVSiV79uyp9ntTpkxhypQpdT5j27ZtdaYJDQ2tMhnSmPuszajA\nbfz48Vy9epU5c+aQnZ1Nt27d2LBhg24Nt5ycHM6dO1f5UFtbPv74Y06fPo1Go8HPz49p06YZDMb0\n9/dn/fr1vP766yQkJODt7c3ChQsZPXq0iV9RCCGatrt3TLAU/dmkQ8JA5WC+wEa/6ykjI8Ms66vp\n694R2nnAb7lw/SakHoGHepktOyGMZvTkhLi4OF0L290WL15scD5x4kQmTpxY5zMHDhzYaGdwCSFE\nQ1BeXm6wtpklx+it19tZYKQZu0lBO0HBycmJwsJCcnJyuHjxYrULwJuKQqFgZD8NX9we0fPjLgnc\nRMMge5UKIUQjduLECQoLCwHtAP47k8LMrahEww69tXBHmDlws7W1pVevysjJIttf6b3T5n1mz04I\no0jgJoQQjZi1NpbfeRCKS7XHXfzAz9P8+VpyIV6AR3qD3e1+qV9OQ3aepvYbhLAACdyEEKIR0w9g\nLNlNumlv5bEp9yatjaUDN2dHBQN6VJ5Lq5toCCRwE0KIRkqj0VgtcNtshcCtV69eKJXaP1snTpzg\nxo0bZs9zuN67SeAmGgIJ3IQQopG6ePGibiFzZ2fne96a5379lqvhWJb22MHecoP2nZ2ddbtCaDQa\ns284DxClt3D+5n2gVkt3qbAuCdyEEKKR0m9tCwkJwdbWrLsY6uh3kz7UExxbWG59M/3lTiwxQaFH\nJ/C4vVXqlXzYf7LmtHfvMCCaH0v8DEjgJoQQjZTVukn1ugyHW6ib9I6713MzN6VSwXC9Vjf9oFWf\nvb09xcXFErw1Y2q1muLiYuzt7c2aj2U+ngkhhDA5awRu5eUatujNC7DU+LY79N/zwIEDlJWV6Xbk\nMZfhfeCbjdrjzXvhnWerplEqlTg4OFBSUmLWsjQWN2/eBLT7djYXCoWCFi1amH1mtwRuQgjRCOXn\n53PypLbfzsbGxmCNM3NKO67dSQDAxx2C21skWx0vLy+8vb25dOkSRUVFZGZm0qNHj7pvrIfhfUCh\nAI0Gdh+F/AINrZ2r/nFWKpW0aNHCrGVpLI4cOQJYtiW4uZCuUiGEaIT279+v65YLDg7G0dHRIvnq\ndxUOjzB+A3JTsnR3qbuLgt4B2mO1GraaP0shaiSBmxBCNEJWW79Nb+9v/RmXlqQ/QcFS2ybqj+Xb\nWMM4NyEsQQI3IYRohKwRuF29oSHtuPZYqYSh4RbJtoq7F+K1xIQA/bF8m/fKDFJhPRK4CSFEI1Na\nWsqhQ4d055YK3LakQUWF9ji8CzzQyvLdpKDdcP7OoPfff/+dCxcumD3Pft2g5e3e6F9z4OR5s2cp\nRLUkcBNCiEbm6NGjutmLfn5+uLu7WyTfTVZcBkTf3ZMxLNFdamerYHBlD61BXQhhSRK4CSFEI6O/\nsbylWts0Gutsc1UTS09QgLu2v5JxbsJKjA7cFi1aRIcOHVCpVISFhZGSklJj2h07djB69Gi8vb1x\ncnKiZ8+eLF68uEoapVJp8GVjY6Ob3i6EEKJ6+i1M+gP1zelsTgsuXtYet2kJfYIskm2NrDFBQX8y\nxvYDUFJmna5i0bwZFbglJiYyffp03nnnHQ4ePEj//v0ZMWJEjeMKUlNT6dGjBytXruTo0aO8/PLL\nvPjii/z3v/81SKdQKMjMzCQnJ4ecnByys7Pp3Llz/d9KCCGaKI1GY9DCFB5umRkCezJb6Y6HhoGt\nrXWDll69emFjYwPAyZMnLbLhfAcfBZ3baY9vFcOhs85mz1OIuxkVuM2bN4/Y2FhiY2MJDAxkwYIF\neHl5ER8fX236WbNm8cEHH9CvXz/8/f2Ji4tj7NixrFy5skpad3d32rZtq/uyxppAQgjRWJw9e5ar\nV68C0KZNGzp06GCRfPccb607Hm6lZUD0OTk50bVrV0AbzO7fv98i+eq/+57jrWpOKISZ1Bm4lZWV\nkZGRwbBhwwyuDx8+nNTUVKMzunHjBi4uLgbXNBoNYWFheHt7M3ToULZv327084QQojm6u5tUqTT/\nUOXiUgUHzlS2Lll7fNsd+uPc9Mf9mZP+u+u3QgphKXX+xufl5aFWq/Hw8DC47uHhQU5OjlGZ/Pjj\nj2zdupWXXnpJd83Ly4uEhARWrlzJqlWrCAwMZMiQIezateseX0EIIZoP/W5SS01MOHCmJaXl2j8X\nQf7QzqNh9IzcvZ6bJQwKAbvbm0Weznbkcr5590kV4m5m36t0165dTJ48mYULFxoMJg0ICCAgIEB3\nHhERQVZWFp9++imRkZE1Ps9Sv5yNjdRL9aReaiZ1U72GXi/6E8OcnZ0tUt7dmb66455+uaSnm3/d\nNGPoby5/4MABdu/ebfYN5wF6tO9Mxilta9ve461wb92wf2asqaH/PlmaKcbx19ni5ubmho2NDbm5\nuQbXc3Nz8fT0rPXelJQURo4cyYcffsiLL75YZ2EiIiI4depUnemEEKI5un79OtnZ2YA2aOnYsaNF\n8tUfy9UvyPyTAIzl4uKi6w0qKyvj3LlzFslXvw52S3epsLA6W9zs7OwIDQ0lKSmJJ598Unc9KSmJ\ncePG1Xjfzp07eeyxx/jrX//KtGnTjCrMgQMH8PLyqjWNJffkawzufJqRejEk9VIzqZvqNYZ62bRp\nk+64Z8+e9OvXz+x5ns/RkHX7c3sLe5g6vjMqh4bRVQoQGRnJDz/8AEBBQYFF/v3sWmv451rt8d4T\nrQgJCcXGpuHUSUPQGH6frCE/P7/ezzCqq3TGjBlMmTKF8PBwIiMjiY+PJzs7m7i4OEA7izQtLY0t\nW7YAsH37dh577DH++Mc/MnHiRF1rnY2NDW5ubgB89tln+Pv7ExwcTGlpKd988w1r167V/QIKIYQw\nZI2Fd/V3CHioFw0qaANtPdz5u2GphXh7dAJPV8i5Ajdu2ZJxAvp0tUjWQhgXuI0fP56rV68yZ84c\nsrOz6datGxs2bMDXVzvuIScnx6CJesmSJRQVFTF37lzmzp2ru+7n58fZs2cB7V57M2fO5MKFC6hU\nKoKDg1m/fj1RUVGmfD8hhGgyrDExQX+HAGtuc1WT6jacN/eyUgqFguHhGpZu1J5v2iuBm7AchUaj\n0Vi7EHXRb1ps3bp1LSmbH2mOrp7US82kbqrX0OulqKiIHj16UF5eDmiHlrRp08aseZaXa3AfBfkF\n2vPD30Bwh4bV4lZRUUFoaCjXr18HYMuWLRYZ+7d8s4anZ2uPI3tAcnzDqhdra+i/T9ZiinhG9ioV\nQohG4NChQ7qgrXPnzmYP2gD2ZVYGbW1bl9K1vdmzvGdKpdJgxQJLdZcOCweFQtvuseco5Bc0+DYQ\n0URI4CaEEI2A/rIKFhvfptdNGtHlRoPd2cYa67m5uygI9L0FgFoNP8uqF8JCJHATQohGwBoby+sH\nbn0b0DIgd7PGDgoAfbtU1snGvbUkFMKEJHATQogGTq1WG+zFaYmN5a/ka0jL1B4rFRr6BDTcwK17\n9+7Y29sDkJWVRV5enkXy1Q/cNu/VbuMohLlJ4CaEEA3cyZMnuXnzJgBt27alXbt2Zs9zSxrciUO6\n+hXS2klt9jzvl4ODAz169NCdW2xZkPYFODlo6+V8Lpw4b5FsRTMngZsQQjRwd3eTWmKsmf76bfot\nSw2VNbpLbW0gTK8lcpN0lwoLkMBNCCEaOP0WJEt0k2o0GoP12xpb4GapFjeo2l0qhLlJ4CaEEA2c\npXdMOHoOLt0eJtamJXR9sNDsedaX/oSNI0eOUFRUZJF89SdtbD8AxSUyzk2YlwRuQgjRgF26dIlL\nly4B4OjoSFBQkNnz1O/yGxqm7RJs6Nq0aUPnzp0BKC8v59ChQxbJ18e1lM63hxwWlUDKLxbJVjRj\nErgJIUQDpt/tFxISgq2tUTsV1ovBNld9zJ6dyVhjPTcwrCMZ5ybMTQI3IYRowPbtq5wlYIn1224V\na9ip11gV1QD3J62JtQI3/TravK/mdEKYggRuQgjRgOmPb7PExISdB6GkVHsc5A/tPBrmbgnV0Q/c\n9u/fj1ptmSVMBoWA3e2G0MNn4NJlGecmzEcCNyGEaKCuX7/OyZMnAbCxsSEkJMTseW5qpN2kAO3a\ntaNt27YA3Lx5U1d35ubsqGBA5TJy0uomzEoCNyGEaKDS09N1q/F369YNJycns+epH7g1pm5SAIVC\nYb1xbnp1JePchDlJ4CaEEA2UpbtJz+doOP6r9tjBHh7qZfYsTc5a67lF6bVOJqWBWi3dpcI8JHAT\nQogGytKBm/5uCQ/3AscWjWd82x3W2nC+Z2fwdNUeX70BGScslrVoZowO3BYtWkSHDh1QqVSEhYWR\nkpJSY9odO3YwevRovL29cXJyomfPnixevLjadGFhYahUKjp16sQXX3xxf28hhBBNzK1btzh8+LDu\n3BKBm8EyII2sm/SOoKAgHB0dAcM18MxNoVAwXO+fSLpLhbkYFbglJiYyffp03nnnHQ4ePEj//v0Z\nMWIEFy5cqDZ9amoqPXr0YOXKlRw9epSXX36ZF198kf/+97+6NFlZWYwaNYoBAwZw8OBB3n77baZN\nm8aqVatM82ZCCNGIHTx4kPLycgACAgJwcXExa37l5Rq26A0Ji2pkExPusLW1NZjEYcnu0uGyLIiw\nAKMCt3nz5hEbG0tsbCyBgYEsWLAALy8v4uPjq00/a9YsPvjgA/r164e/vz9xcXGMHTuWlStX6tLE\nx8fj4+PD/PnzCQwMZOrUqcTExDB37lzTvJkQQjRilu4m3ZcJ+QXaYx936Nre7FmajbW6S4eFg+J2\n7/Keo5BfIOPchOnVGbiVlZWRkZHBsGHDDK4PHz6c1NRUozO6ceOGwSfGPXv2MHz4cIM0UVFRpKen\nW2ztHSGEaKgsPr7trm5ShaLxjW+7w1ozS91dFPQO0B6r1fCz5bIWzUidgVteXh5qtRoPDw+D6x4e\nHuTk5BiVyY8//sjWrVt56aWXdNdycnKqfWZ5eTl5eXlGPVcIIZqisrIy9u/frzu39Pi2xtpNekev\nXr2wsdFusHr8+HHy8/MtlrfBsiDSXSrMwOyb3u3atYvJkyezcOFCk2zXYslPT42J1Ev1pF5qJnVT\nvYZQL6dOnaKoqAgAd3d3sw+yzy+0IS2zJ6BAqdDganuI9PSqPR8NoW6M5e/vz5kzZ9BoNHz33XcG\nrXCmpl8vfq2dgUAAfkwuIe2RIzTixst6a0w/M5bQuXPnej+jzhY3Nzc3bGxsyM3NNbiem5uLp6dn\nrfempKQwcuRIPvzwQ1588UWD73l6elb7TFtbW9zc3IwtvxBCNDmZmZm646CgILPnt+9kKyo02uii\n64OFtHZq/MNVunbtqjs+duyYxfLt0b4AJwdt/WVfdeD87w4Wy1s0D3W2uNnZ2REaGkpSUhJPPvmk\n7npSUhLjxo2r8b6dO3fy2GOP8de//pVp06ZV+X6/fv1YvXq1wbXNmzcTFhama+Kujjk/NTVGdz7N\nSL0YknqpmdRN9RpSvSQkJOiOH330UbOXKT6pchD9mMHOVfJrSHVjrBs3brBu3TpAu4qBOcpeU70M\n7aNhTbL2+OKtbjwZ1vya3Brjz4wlmKLb3qhZpTNmzODrr7/mq6++4vjx47z22mtkZ2cTFxcHaGeR\nDh06VJd++/btjBw5kpdffpmJEyeSm5tLbm6uwdi1uLg4Ll68yOuvv87x48f58ssvWbp0KW+99Va9\nX0oIIRqriooKg+6lPn3MO+BMo9GwaU/leWPb5qomYWFhKJXaP3FHjx7lxo0bFstbf5zbxj01pxPi\nfhgVuI0fP5758+czZ84cQkJCSE1NZcOGDfj6+gLaiQbnzp3TpV+yZAlFRUXMnTsXb29v3Zf+f0D+\n/v6sX7+e5ORkQkJC+Pjjj1m4cCGjR4828SsKIUTjoT+Y3tXVlQ4dOpg1v0On4NLtz9QuLaGP+Xtm\nLaJVq1a67tK7g2FzG9G38nj7frhVLMuCCNMxenJCXFycroXtbnfvirB48eJqd0q428CBA2XgohBC\n6Nm7t3J6Z0REhNmX5Vi/u/L40b5ga9t0uvUiIiI4cuQIoK3XwYMHWyRffy8FXf01HMuC4lLYth9G\n9bdI1qIZkL1KhRCiAdm9uzKS6tevn9nz26DXlTfC/NlZVEREZZ+lfkBsCfp1qR8cC1FfErgJIUQD\noVarDQIMcwduV/I17NY2SKFQNP712+7Wp08fXYvlkSNHKCgosFjeI/UDt1TtWEIhTEECNyGEaCAy\nMzN1g+jd3d3NPr5t8z6oqNAeR3TVrvzflLRu3Vq3nIparbbovqUDekJL7V73/JoDmVkWy1o0cRK4\nCSFEA7FnT2W/Zd++fc0+vm2DXhdeU+smvUO/u1S/fs3NzlbBcL0WTOkuFaZi9p0ThBCWpdFoKCy+\nyc1b1ykoukFB0Q2KSwopV5dRri4n68I5FCgptM3B1sYOO1t7nFWtcFa1xknVktZOD2BrY2ft12iW\n9Me39e3bt5aU9adWawzGt41sooFb3759dZPlrDHObeV27fH6VHgz2qLZiyZKAjchGqmKCjWXr2dz\n4fI5LuZl8fu1C+Tl53IlP4eSsuI679//a/XXFSho09IN19YeuLX2xMfNH283f3zc/XF0cDbxW4g7\nysvLDTaWN/f4trRMuHJ7LVBPVwgJMGt2VqO/z+svv/xCYWEhTk5OFslbf1mQlF8gv0BDa+em1R0t\nLE8CNyEaiZLSIs5ln+DMpWOcvZTJrzknKS0vMXk+GjRcu3mZazcvc/rCEYPvubf2ooNPVzp4B9HJ\nJxi31p5m785rLo4ePcrNmzcB8PDwwN/f36z53b0MiFLZNP8dXVxc6NKlC8ePH9eNc3vooYcskreX\nm4LegRr2n4ByNWxJgycfsUjWogmTwE2IBkqj0fD7tYsczcrgWFYGZy4dQ60uN+peB3sVrZ0ewLlF\nK5wdW6Gyd8LW1h5bG1vyLl9Bo9Hg5v4A5eoySkqLKSjWdqkW3MrnRuE1NFQ/A+5yfjaX87PZe+xn\nAFxbeRDk35tg/1A6+3bH3k72Zbxflh7fph+4jWqi3aR3REREcPz4cUBbz5YK3EDbBb3/hPb4p90S\nuIn6k8BNiAYm+8p5DpzcxYFTu8i9dqHWtK2cXPB1a4+3e3u8XR/EvY0Xrq09cWrRssY//HXtIVhW\nXsa1m7+Tl59L7tULXMzTdsXmXPkNdYVh4HjlRi4pv2wg5ZcN2Ns6ENw+jJDOkXT1D5Ug7h7pB27m\n7ibNztPogglbGxgaXnv6xq5///4sWbIEgF27dlk075H94MOvtccb90BFhabJtm4Ky5DATYgG4Ebh\nddJPbGfvsa1kXzlfYzov1wfp6BNMR29td6VLSzeTl8XO1o62Lj60dfGhq39v3fWy8jLO557i7KVM\nzlw6xpmLRw3G0pWWl3DglDbgtLdrQa9O/YjoOoROPsHSnVqHsrIyi45v05+UMKAHTX7cVd++fVEq\nlVRUVHD48GHy8/Np3bq1RfIODwK3NpB3HXKuaFvfwprItmLCOiRwE8JKKjQVHP/1ALsOb+JoVgYV\nFeoqaextHejiF0JX/1CC/ELMEqgZy87Wjo4+Xeno05VhPEm5uoyzlzI5lrWfI+fS+P3aRV3a0rJi\n9mVuY1/mNlxbe9C361D6dxtGS8c2Vit/Q3bkyBEKCwsB8Pb2pl27dmbNb21y5fHIZrAVU6tWrejR\nowcHDx5Eo9Gwe/duHn30UYvkbWOjYERfDd9s1J6vTZHATdSPBG5CWFhRSSF7j20l+ZcNXL5+qcr3\nG0uXo62NHQHtehDQrgdPDIgh+8p5Dp5KZf+pFIMg7kp+Lj/tXsbGfYmEdI7k4Z6j8PNsolMY79Pd\ny4CYs4XyVrGGpMrGPZ4YaLasGpT+/ftz8OBBQNtdaqnADeDxAegCt3Up8MELFstaNEESuAlhIdcL\nrrD9wFp2Hd5U7XIdHbyDiOg6hJDOkbSwV1mhhPdPoVDg7eaHt5sfI/pO5Lffz7Dn2M9knNhJUYm2\nJUmtLif9+A7Sj++gg1cQQ8PG0rV9KEqFrAOuP+7K3N2kW9Kg6PZk5CB/6NyuaXeT3jFgwAAWLVoE\nQEpKikXzjuoD9nZQWgaHTkNWtgZ/r+ZR78L0JHATwsx+v3aRLek/kHZ8R5XB/SoHJ/p2HUJk9yja\nuvhYqYSmpVAoeNCjEw96dGLMwOc4eHo3yYfWk5VzQpfmbHYm/1o3By/XBxkSOobQwIewUdpYsdTW\nU1RUpJswAtoAw5zW6sUsj5s3qwald+/etGjRguLiYrKysrh48SI+Ppb5nWvppGBwqIaNt8cWrkuB\naeMskrVogiRwE8JMLl/PZtO+FaQd34FGU2HwPc8H2vFwr8cI6/IwDnYtrFRC87OztSe8y8OEd3mY\n87mn2XnoJzJOJOsC2Owr5/l282ds2vc9j0aMJzRgIMpmFsDt27eP0tJSADp37oynp6fZ8lKrNfyo\nN6myuXSTAjg4OBAeHk5ysnaAX2pqKuPGWS56+sMAdIHbWgncRD1IH4UQJnbtZh7LkxYyZ+kf2Ze5\nzSBo6+AVxIuP/5m3n/6MyO5RTTpou9uDHp14evhrvPfcFwzu/YTBu1++folvNs3n429f48CpVDSa\n6teRa4ruBBIAAweaN5Lalwm/X9Met3WBPs1skHxkZKTu2NLLgui3bu44ANdvNp+fcWFaRgduixYt\nokOHDqhUKsLCwmodI1BSUsJzzz1Hz549sbe3Z/DgwVXS7NixA6VSafBlY2PDyZMn7+9NhLCy4tIi\nfs03nOwAACAASURBVNq9jA+XvsKeYz9ToRewBT7Yk9ee+ojp4z+mW4fwZj2uq42zK6MHPsfs2C8Z\n0XcSKntH3fdyr11g8fq/M//7WZzLPlHLU5oO/f9LzR246c8mfSxSO+OxOdHvhk5JSbHoBwQfdwVh\nXbTH5WrYaNltU0UTYlRXaWJiItOnTychIYHIyEg+//xzRowYQWZmJr6+vlXSq9VqVCoV06ZNY/36\n9Vy/fr3a5yoUCo4dO4aLi4vumru7+32+ihDWoa5Qs/fYz/y0ezk3bxn+rAe068HIvpPo4N3MmjaM\n4NjCmRERE3i41yi2H1jH9gPrKC69BcC57OPMW/H/0TtgAI/3fwbX1h5WLq155ObmcuKENkC1t7en\nT58+Zs1Pf3zbH5rR+LY7goKCcHFx4dq1a1y5coUTJ07QpUsXi+X/+ABI127gwNpkmDjUYlmLJsSo\nwG3evHnExsYSGxsLwIIFC9i4cSPx8fHMmTOnSnpHR0fd7J1Dhw7VGLiBNlB74IEH7qfsQlhd5q8H\nWJ28uMqiub7uHRg98FkC2vWwUskaD0cHZ0b2ncTDvR5j877v2XlovW4M3P6TKRw6s4dBvR5jWPhT\nTW6Te/3WttDQUBwdHWtJXT+nftOQmaU9Vjk0/d0SqqNUKunXrx/r168HtOPcLBm4PTEQ3vtSe7xh\nD5SWabC3a16tnqL+6uyvKSsrIyMjg2HDhhlcHz58OKmpqfXKXKPREBYWhre3N0OHDmX79u31ep4Q\nlpJ77SKLVs8mfvVsg6CttbMrTw9/jTcnzZWg7R45tWjJmIdi+dMzC+nVqXJVWLW6nJ8zVvPXr18m\n5ZeNBl3QjZ3++DZLziYdFg6OLZpnwGDNcW7dO4Lf7bkn+QWw86BFsxdNRJ0tbnl5eajVajw8DLsq\nPDw8+Pnnn+87Yy8vLxISEggPD6e0tJSlS5cyZMgQdu7cafCLdTf9afOiktRL9UxdL+qKcg5f2MWR\nC6lUaCp3OrBV2tHNtz9dvfuiLLRjf8Z+k+ZrDg35Z6aHx2A8VZ1JP7eFvALtYr6FxTdZsS2BrWnr\n6NtxBA84m2f2paXqpaKiwuDDqqurq1nzXr4hAGgJQI92WaSnX7nnZzTknxlj6W91tWvXLnbv3o2d\nnV29nnkv9dI3wJdfc7R/T/+98nfaKH6rV94NXVP4mTGlzp071/sZVlsOJCAggICAytXTIyIiyMrK\n4tNPP601cBPCWi5dP8veMxu4WXxNd02Bgo4ePen14MM42re0Yumanrat2jGix7Nk5R1j/69bKSzJ\nByCv4CI/HfqKLt596NXuIexsG+bOEnU5f/48+fnad2rZsiXt27c3W15Xbthy6Ky2m1mh0BDZNd9s\neTV0Hh4eeHh4kJubS0lJCcePH6d79+4Wy39gt3wSd2oDtx2H2/DG2N9QNt+5SuI+1Bm4ubm5YWNj\nQ25ursH13Nxck683FBERQWJiYq1pwsLCTJpnY3fn04zUiyFT1suNwmus2vkfMk4mG1x/0KMzEwa/\nTLu2HeqdhyU1tp+ZcMIZXT6JpLSVJGWsRK0uR4OGzEt7yb5xmicffoEeHSPqvU2UpeslIyNDd/zw\nww+bdWLCF6s1VNyeQDmwp4Kowb3u6f7G9jNTl6ioKJYuXQrApUuXeO655+7rOfdTLz17aXhvGVzJ\nh9+v21PhGEqfbk2v27qp/cyYyp0Pa/VRZ5xvZ2dHaGgoSUlJBteTkpJM3jJ24MABvLy8TPpMIe5X\nhaaC5F82MGfpHw2CNpW9I+MeeYkZ4z9pdEFbY2Vna8/IfpN4e/JnBPhWto5cL7jCVz99wr/WzeHq\njd+tWMJ7Z8llQP63rfL4yUFmzapRGDRokO7Y0mOr7WwVBgsff7+t5rRCVMeortIZM2YwZcoUwsPD\niYyMJD4+nuzsbOLi4gCYNWsWaWlpbNmyRXdPZmYmJSUl5OXlUVBQwKFDhwDo2bMnAJ999hn+/v4E\nBwdTWlrKN998w9q1a/nhhx9M/Y5C3LPL17NZnrSQM5eOGVwPDRjImIdiaeXkUsOdwpw8XHz449gP\nSD+xg1U7F1NQpP30evRcOqcuHOGJATFEdo9q8OvkFRcXs2/fPt25OScmXL6mYfuByvOxg8yWVaPR\nt29fHBwcKCkp4fTp01y4cKHapa3M5alH4D8/ao9XboO5r2rq3WIsmg+jArfx48dz9epV5syZQ3Z2\nNt26dWPDhg26H/ScnBzOnTtncM/IkSM5f75ytl1ISAgKhQK1Wjugu7S0lJkzZ3LhwgVUKhXBwcGs\nX7+eqKgoU72bEPesQlPBzoM/sS71G8rKS3XX3Vt7Me6Rl+jid29dTML0FAoF4V0GEewfxtpdS0k9\nshmA0rJivt/2BYdOpTJp2Ku4tmq4a7+lpqbqtrnq2LEj3t7eZstrTTLc/m+X/t21C8E2dyqVin79\n+ula27Zv387TTz9tsfwHh0KblnD9JpzP1a7tFi5LPQojGf2xNC4ujrNnz1JUVERaWppBN+nixYs5\nc+aMQfpz586hVqt1XxUVFbqgDeCtt97ixIkTFBYWkpeXx44dOyRoE1Z1+Xo2C//3Dj/s/EoXtCkV\nSoaHj+Ptpz+ToK2BcWzhzMQhrzB93Cd4uFS2lpy8cJiPv32N5F82NNilQ7Zu3ao7rm5nGVNaub3y\nWLpJK+l3l27bZtn+Sns7BU/oNbL+T7pLxT1o2P0J/3979x0WxbU+cPy7u3QQBJWqiKLYRRQr1liw\npmhs0RvLz6ixYo+x3OTGmhi7Ym6SqzFq1KixF4wRFUsUFRuICnbpIALSd35/rC5sAEXKLuV8nmcf\nZ87Ozpwdh913z5lzXkHQAqWkxPfqAZZsnazRNWpfqTpTB35L7zZD0Ncz0GENhTepaV+XmZ8sp3Oz\nj5C96iJ93fq2bs+/iYmPeMsetEuSJI3ArXPnzsV2rNgXEieyzcYgArcsnTp1Ui+fO3eO1NRUrR6/\nX9bh2X2ScpWfVygcEbgJ5Vp0fDird83J0crm2WIA0wcvw9Gmlo5rKOSHvp4BH7QdxpQBS7Cxymp9\nu/vkBou3qlrfSsoXY1BQEGFhYQCYm5vTrFmzYjvW/jOqvJgALeuDo63oJn3N0dGRmjVVg4tSUlK4\ncOGCVo/ftTmYm6qWQ59BwF2tHl4oxUTgJpRbl277snTbFEKfBanL7Cs7MW3Qd/Rq/Ql6isJNyilo\nn5OtCzMHL6dLs745Wt9+2L+AF0l5p9/TluwTl3fs2BE9veKbTlOjm7RTnpuVW7ocXWpoINPIFyu6\nS4X8EoGbUO4kp75k89EV/HpsJalpyQDI5Qq6txjI9EHfUc3aWcc1FApDX8+A99t+ytR/tL4FPrjM\nkq2TuRl6SYe10979bfGJEj5ZA1dFN2kudBm4gWYwvUt0lwr5JAI3oVy5HxbMt9um4B98Sl1WxcKO\nqQOW0rP1YNHKVoZUf9X61tHtfXVZYnI8/z2wkB1/bSAtXbv3NAFERUWpp0ZSKBR06NCh2I613w/S\nM1TLzepADXvRTfpPLVq0wNjYGIAHDx7kmB2huHVrAWaqw3P3MVy/p9XDC6WUCNyEckGpzOTYxZ2s\n+n02MS+yblZvWb8zMz9ZLu5lK6P09Qzo234k4z78CgtTK3X52RtH+fa3qTyK0O43pa+vr7pVpVmz\nZlSsWLHYjrXNJ2tZdJPmztDQUGOGBG23uhkbyuiTrbt02/G8txWE10TgJpR5cQlRrNkzn0Pnt6mn\nhzA2MGF4j+kM6ToRQwNjHddQKG51qzfhiyErca3VWl0WGfeU5Ttn4XNpF0pl5hteXXS01U0aEStx\nPFuP8OCuxXaoUi/76FIfH583bFk8sv/fbP8TlErRXSq8mQjchDLt6t1zLNnqRcjTW+qymvb1mDVk\nJU1dim+2eqHkMTU2Z2TPmXzSZSKG+kaAqiX24LktrNk9j8SU4h24kJqaypkzWanTinMakB0nQPlq\nCrt2rlBdjCbNU5cuXdRZCy5evEhsbKxWj+/ZEipZqJYfR8CZa1o9vFAKicBNKJPSM9M4d/cgGw9/\nS3JqEqCa5qNnq8FM7LcAK3NrHddQ0AWZTEarBp2Z+ckKnGzrqMtDngVyIOBHQiNvFNsN4hcvXiQp\nSXUtOjo64uxcfINgth7LWh4i5jV/I2tra/WULEqlUiN1ozbo68kYkC2G33Is720FAUTgJpRBjyND\nOBTwE/ciA9RlVubWTPp4Ed1bDkQhV+iwdkJJUKWiHZP7L6JHy0HqvKbpman43d3H5qPL1cF+Ucoe\nEHTu3LnYclPefSxx6dUMN/p6qryYwpt169ZNvXzsmPYjpyFZh2e3L6Smie5SIW8icBPKDKWk5MTl\nvSzfMYsXKVndHU1d2jHrkxXUtK+rw9oJJY1CrqBHq0FM7r+Yyha26vLLd87w7bap3A8LLrJjKZVK\njYCgOLtJt2a7Tatna7AyF92kb5M93aKfnx8JCQlaPX7rhlDjVbra5wlw+LxWDy+UMiJwE8qE+KRY\nvPd+zT6/TWQqVXMg6MkNGNptMsO6T8XY0FTHNRRKqhp2dZj5yQqcrV3VZTEvIlj1+2yOXfy9SAYu\nXL58mYgI1WhmKysrWrZsWeh95kaSJI1u0k+65b2tkMXR0ZH69esDkJaWxqlTp97yiqIlk8k0Bils\nFd2lwhuIwE0o9W6EXmTJVi+CH2Xd1VvZzJ4+TUbRol6nYuuSEsoOIwNjPGr3oX2dvhgbmACqFtxD\n57ey9o9/E5cQXaj9Hz58WL3crVu3YsuWcDEQQp6qls1NobfHm7cXsmRvdTt69KjWj5+9u/TgOXie\nILpLhdyJwE0otdIyUvn95H/58cAikpJfACBDRrfmH9O90TAqGFu9ZQ+CoMmpcn1mDllBDbusbvV7\nT26ydKsX1+4VLJelUqnkyJEj6vWePXsWup55yd5N2rejap4wIX+yB24nT57UetL5ek4ymr4aL5OW\nrpmuTBCyE4GbUCo9i37A99tncOZ6VkuGhVklJvT7D73bDEUuBiAIBVTJ3IZJHy+ke4uB6nynL1MT\n+fnQEnac8H7njAtXr15Vd5NaWlrSunXrt7yiYNLSJXZkGxA5RHSTvhMXFxecnJwAePnypcbULdqS\nvWv7V+03+gmlRL4Dt/Xr11OzZk2MjY1xd3fHz88vz21TU1MZMWIErq6uGBgY5DnR5KlTp3B3d8fY\n2JhatWrxww8/vPs7EMoVSZI4fe0Qy7bPICzmkbq8sXMrvvhkBbWrNtJh7YSyQiFX0LP1YCb1+wZL\ns8rq8rM3j7Fs+3SeRj3I97601U16wA+iXk1F51AFOroVy2HKLJlMptHqppPJeLuA4tVvztMBcOeR\n6C4VcspX4LZjxw68vLyYO3cuAQEBtGnThh49evDkyZNct8/MzMTY2JiJEyfSu3fvXLd58OABvXr1\nom3btgQEBPDFF18wceJE/vjjj4K/G6FMS3ipyjO5y/dHMjLTAVVKo4Hvfc7/9ZqFqbG5jmsolDXO\nDg2YNWQlTWq1UZeFxz7m+x0zOBVw8K1zvmmzm/SnA1nLI3qBQiG6Sd9V9sDt+PHjpKena/X4dpVl\n9MrWIPvzQa0eXigl8hW4rVixgpEjRzJy5Ejq1KnD6tWrsbOzw9vbO9ftTUxMWL9+PaNGjcLBwSHX\nbby9vXFwcGDlypXUqVOHUaNGMWzYMJYtW1bwdyOUWUEPr7J0qxe37vuryxyq1GDm4OV4NPIUAxCE\nYmNiZMaInjMY1Hk8BnqGAGRkprP71E/898BCEl7G5/nagIAAwsLCAKhYsWKxdZM+CJPwuahalsng\n//oUy2HKPFdXV2xtVVPDPH/+/I09S8Vl1PtZy78cVnWBC0J2bw3c0tPTuXz5Ml27aia769atG+fO\nnSvwgS9cuKAx6SGofu34+/uTmamdvIFCyZeekc7eMxvx3vs1L17Gqcs7ub3P1AHfYmNVVYe1E8oL\nmUxGm4ZdmTH4exyq1FCX37rvz9JtmiOas/tnN6m+vn6x1G/jIXjd+NethUhxVVByuZw+fbKi3r17\n92q9Dt1bqrq6ASLj4OBZrVdBKOHeGrhFR0eTmZmJjY2NRrmNjQ3h4eEFPnB4eHiu+8zIyCA6unBD\n74WyISLuKSt2zuKvK/vUZRVMKvL5h//mo/Yj0dcrni9BQciLjVVVpg74lo5Nsr7cXyTFse6Pf7PP\nb5O6Cx+0102amSmx8VDWumhtK5wPP/xQvezj40NiYqJWj6+nJ2N4tkslexe4IAAUz12yxcjf3//t\nG5VDZem8SJLEvYgALt33IUOZ9UXoYFmLNrX6kBSViX9U/t5vWTovRU2cm9zl57w4mrrSub4pZ+/u\nJyX9JQAnLu8lIPhv2rl8hLmxFUFBQTx79gwAU1NTDA0Ni+Wc+90y50lkbQAszdJxML6Bv3/xdK+V\nl2vG0dGRR48ekZKSwg8//ECHDh3euH1Rn5fm1Q2QyRoiSTKO/S1xwOcGdlZpRXoMbSkv10x+1a5d\nu9D7eGuLW+XKlVEoFOrh7K9FRESo7wUoCFtb21z3qaenR+XKlfN4lVDWpaYncyp4N+dDDqmDNrlM\nQfManrxXbyDGBiIDglAyOFjWok+T0dhVrKkui0kM42DAj4REXsPX11dd3qpVq2IbTbrvfNbnZa8W\nMejriXuiCqt9+/bq5dOnT2v9+PaV0mjhokq7JUkyDvxdSet1EEqut36S6Ovr06xZM44fP06/fv3U\n5cePH6d///4FPnDr1q1z3D/g4+ODu7s7CkXec3C5u7sX+Jhl0etfM2XhvNx5fJ1ffbyJT4xRl9la\nVWNY92k4VHF6p32VpfNS1MS5yV1Bz4tH6/b4Xj3AgbO/kqnMIEOZzqnAvfidy8p1Om7cOJo2bVqk\n9QUIi5bwC8xanzPKljrV7Yr8OOXtmrG3t2fr1q1IksTNmzepVq1ajlt7oHjPy9ShEgPnqZaPXbXH\n+0v7UjVSuLxdM/kVH5/3YKb8yteo0qlTp7Jp0yZ+/vlnbt++zeTJkwkLC2Ps2LEAzJ49my5dumi8\nJigoiICAAKKjo0lMTOTatWtcu5Z1A+/YsWN5+vQpU6ZM4fbt2/z0009s3ryZGTNmFPpNCaXL6wEI\na/fM1wja2jbuwfTBy945aBMEbZLL5LzX9AOmDlyKdUVVpvDwey9IS1G1GFd1dMDNrXgmVfv5ILwe\ny9W+CdSpXnq+2Esye3t7WrVqBajuVdy/f7/W6/BBO6hcUbX8OEIknhey5CtwGzBgACtXrmThwoW4\nublx7tw5jhw5QtWqqhF94eHh3L9/X+M1PXv2pFmzZuzcuZPLly/j5uam8YvTycmJw4cPc+bMGdzc\n3Fi8eDFr1qzRuDFUKPvCYh7x/Y4ZGgMQTI3N+azPlwzoNEY9/YIglHTVrJ2ZMfh7WtXvzOPAWHV5\nhWpKfC7tKpJk9dmlpUt478la/+z9vLcV3l327yJdjC410NccpLD6d61XQSih8p05YezYsYSGhpKc\nnMylS5fw8MjKXrxx40ZCQkI0tr9//z6ZmZnqh1KpzDHNR7t27fD39yc5OZmQkBA+++yzQr4dobRQ\nSkpOBRzku9+m8Sz6gbq8fvWmzB6yikY1W+iucoJQQIYGxrSv9xHRj1+NRJSBQ92KqmT1e+YXOll9\ndjv/grBXDdR2laB/7glqhALq3r07BgYGAAQGBhIcHPyWVxS9Cf2yMimc8Ifr98T9i4LIVSroQHxS\nLBv2fcPuUz9lZUBQGPBxx9GM+WAe5qaWOq6hIBTcnj1ZzWCOtW0xrqD68r/39FahktVnJ0kSK3dk\nrY/rp2qhEYqOubm5xi1A2f9ftcXRVkbfbANaV4lWNwERuAladu3eBZZsmczth1fVZQ5VajB98Pe0\nd+0pMiAIpZokSezevVu9PnXcF3RvmTNZ/Vaf1SSnJhX4OH7X4MqrBiAjAxjzQaGqLeShb9++6uVd\nu3aRmpqq9Tp4Dcxa3uYDkXGi1a28E4GboBWpacls+3MtPx9aQlKKapi7DBmdm33E1AHfYlepmo5r\nKAiFd+nSJR49egRAhQoV8PT0pGernMnq/w76iyVbvbjz+EaBjrNqZ9by0O5QuaL4wVMcOnbsiL29\nasBJbGysxoTK2tKqAbSor1pOTYMNIp13uScCN6HYhTwNZOm2KVy49ae6rKJZJcb3/Q8ftB0mMiAI\nZcbOnVkRVZ8+fTAyMgKyktU3dWmnfj4uIYq1e+ax59TPpGXkvyXn/jOJvWey1r0GFL7eQu4UCgWD\nBw9Wr2/dulXrdZDJZBqtbt5/QGqaaHUrz0TgJhSbtIxU/jj9P1bvmkN0fFZ6tKYubfliyCpcqjXS\nYe0EoWhFR0dz4EBWfqKPP/5Y43kTIzOG95jG8B7TMTGqoC73DTjAd9um8SjiXr6Os2YXKJWq5W4t\noH4N0dpWnAYOHKiePNnf35/bt29rvQ79OmblL42Ihe1/vnFzoYwTgZtQLO6HBfPt1imcvLofCdWv\nQyMDE4Z2m8yw7tMwMTLTcQ0FoWj99ttvpKWp0hI1btyYJk2a5LpdU5e2zB6yivrVs6ZHioh7wvId\nMzl84TcyMzPyPEbsC4mfs+WunCxa24pdlSpV8PT0VK/rotVNX0/G+Kz57/n+N1AqRatbeSUCN6FI\npWeksd9vMyt/n03k82fq8rqOTZg9dBUt6nUSAxCEMic9PZ0tW7ao10eMGPHG69zCzIoxH8xj4Huf\nY6Cv6k5VSkqO/r2DZdun8zgyJNfXrdwBCarUqNRzAs+WRfYWhDcYOnSoevmPP/7QeuJ5gNEfgKmx\navlmKPxxSutVEEoIEbgJReZh+F2++20af17egySp+nIM9Y0Y1Hkcn3/4bywrVNFxDQWheBw9epTI\nyEhA1ULTs2fPt7xCde+SRyNPZn2ygpp29dTlT6Mf8P32GRw8t4X0jKzE4nEvJI1JWOcOB7lc/AjS\nhpYtW1KrVi0AkpKSdDIhr5W5ZqvbN5tEq1t5JQI3odDS0lPZe2YTK3bOIjz2sbrcpWojvhi6ijYN\nu4lWNqFM27hxo3p56NCh6olb86NKRTsmfbyAD9sNR1+hep1SUmVb+Pa3qdwPU837sXInvHg1g0jd\n6jBATLirNTKZjCFDhqjXt2zZgiRpP2iaNghMVA20XL8He09rvQpCCSACN6FQgh9dY/HWSfx1ZS/K\nV61sBnqG9O84mnF9v6aSec7EzIJQlgQEBHD1qmpeQgMDA41RiPkllyt4r+mHzBqyEmeHBuryiNgn\nrNz5BVuObWH1zqxAYe5wSlXC8bKgb9++GBur+iqDg4Px8/PTeh2qWP6j1W2jaHUrj0TgJhRIUvIL\ntvisYt0f/yYmPkJdXqtqQ74Yuop2rj2Ry8TlJZR9v/zyi3q5d+/eVKlS8FsCrC3tmdjvG/p3HK2+\n901CYu1uOfFJqkCtjiMM7Fy4OgvvztzcXGOk8Pr163VSj+mDs1rdrt2D/dqPHwUdE9+swjuRJAn/\n26dY8OsELgadVJcbG5oyuMsEJvb9hsoWtjqsoSBoT3h4OIcOHVKvDx8+vND7lMvktHPtyeyhq6jj\n6EpqmgkBd7IyyLd3O0JSyvNCH0d4d6NHj1ZPDXLhwgWd5C+tYinj84+y1v/zP3TSbSvojgjchHyL\neh7GD/u+YfOxFSQlv1CXu9X2YM6/1tK6QRdxL5tQrqxfv570dFW+XXd3dxo1Krq5CSuZ2zDuw69I\nS1tAWropABZmz9DX/4mFm8dz5tphlMrMIjue8HZVq1blgw+y8ovpIn8pwPRPwNhQtRxwF3adfPP2\nQtkiAjfhrdLSUzl0fhuLt0wi8OEVdXlFs0qM7jOHET1niMTwQrnz7NkzduzIyvQ+YcKEIj/GowjY\n8WcN9Xrz+juRy5Ukp73kd9//smLnFzyODC3y4wp5+/zzz9U/UK9cucL9+/e1XgcbKxnjstKoMms9\npKSKVrfyQgRuQp4kSeJ6yAUW/TqBYxd3kpGpalmQIaO9ay++/NdaGtZsruNaCoJueHt7qyfcdXNz\no3379kV+jNnekPJqRpCmdWDV5PeoUtFe/fzDiLss2z6dPad+LlTSeiH/nJ2d6d69u3pdF1ODAHz5\nKViZq5YfhKlGHQvlgwjchFxFxj1jw75v+OngEmITotTljja1mTpwKR93/AwjA2Md1lAQdOfp06ca\nrW1eXl5FfpvA2euSRmqjFZOgnpMrXwxZSY+Wg1AoVPdaSZIS34ADfPPLOM7d9BHdp1owfvx49fL5\n8+cJDdV+q6eluYyvR2WtL/oFwmNEq1t5kO/Abf369dSsWRNjY2Pc3d3fOhT65s2bdOzYERMTE6pV\nq8Y333yj8fypU6eQy+UaD4VCwZ07dwr2ToQikZqWzMFzW1i8dRJB2bpFTY0qMKjzOKYOXEp1Wxcd\n1lAQdC/7vW3NmjWjXbt2b3nFu1EqJaasylof8B60a6IKDPX1DOjRahCzh6zCpVpj9TaJyfFsP7Ge\n77ZP597TW0VaH0FTgwYN6NixI6DqmVi9erVO6jHmA6jvpFpOTIa5/9VJNQQty1fgtmPHDry8vJg7\ndy4BAQG0adOGHj168OTJk1y3T0hIoGvXrtjZ2XH58mVWrVrFd999x4oVKzS2k8lkBAUFER4eTnh4\nOGFhYdSuXbvw70p4Z5nKTM7eOMZ/fvkcn0u71PkSZcjwaNSducPW06ZhNzHFh1DuPXnyhN9/z0ph\nUBytbVuOgf+rXOaGBrBkXM5trC0dGP/R1wzvMR1Ls8rq8qdR91m9aw7/O/QtMS8icr5QKBLZW932\n7dtHQECA1uugpydj+aSs9Y2H4Ood0epW1uXrW3jFihWMHDmSkSNHUqdOHVavXo2dnR3e3t65br9l\nyxaSk5P55ZdfqFevHn379mXWrFksX748x7ZVqlTB2tpa/RCjErVLkiRu3fdn6VYvdvzlTcLLrGkG\nqtu6MG3Qdwx8byymRhV0WEtBKDlWr16tbm1r3rw5Hh4eRbr/5wkSs7N9tE4dBE52uX8uymQyuUXj\nhwAAIABJREFUmrq0Zc6n6+jRajD6elkZGwLunWPh5gkcPLeV5NSXRVpHQTWKuEWLFur1hQsX6mRa\njm4tZfRqo1qWJJi0QkzKW9a9NXBLT0/n8uXLdO3aVaO8W7dunDt3LtfXXLhwgXbt2mmkffH09OTZ\ns2c8fPhQXSZJEu7u7tjb29OlSxd8fX0L+DaEgngcGcK6PfP5Yf8CjVRVFmaVGNJ1IlMGLMHRppYO\naygIJcvVq1c1WtumTJlS5D82p66BsBjVsm0l+GLom7cHMNA3pEfLgcz9dB3N6mQNksjITMfn0u/8\nZ9MYTl7Zr5H7VCi8oUOHolAoAPD39+fIkSM6qceyCaCnqgZnr8Pa3TqphqAlem/bIDo6mszMTGxs\nNFMX2djYcOLEiVxfEx4eTrVq1XJsL0kS4eHhVK9eHTs7OzZs2EDz5s1JS0tj8+bNdO7cmdOnT7/x\nF6y/v39+3le58y7nJSEljmuPThMadUOjXE9uQKOqbahn3xLFS32uXL6Sxx5KD3G95E2cm9zldV4y\nMzOZPXu2er158+bo6+sX6Xk8H2TOpkNZt4t4vR9CcNC7TbbboHJ7qhjU4NJ9H2ISwwBISkngjzP/\n49jfu3B1bI+zdeMC3fYgrhlNdnZ29OjRg4MHDwLw9ddfU7FixXfKVVtUhnWx4+djqhHHs9Ypcaxw\ni6qVdR+oi2tGU1HcDvbWwK24uLi44OKSdZN7y5YtefDgAd99912Rdz0IKokpz7n+2I+QqOtIr/KK\nguo+ttq2TXGt1g5jAzMd1lAQSq4TJ06o5+zS19cvkiwJ2SUmy1m4vbp6vYtbLO81KViGBGvzavRs\nPJL7UTcJeORLYmo8AC/TXnD+3kECn56niWNHHCvVFbenFFK/fv3w9fUlMTGRyMhIjhw5ojFJr7aM\n7BbOqesVuRdmQmq6nAW/ObF+/B3k4rbkMuetgVvlypVRKBRERGje5BoREYGtbe6pjWxtbXPdXiaT\n5fkaUAVv2YfY58bd3f1tVS5XXv+aedN5iX0Rhc+l37kQeCLHVAENa7bgA49PsbGqWqz11Lb8nJfy\nSpyb3L3pvMTGxrJzZ9ZEWRMmTKBnz55FevzRSyUiX8VplSvC1m+sqGJZqVD7bE5z+mYO5dxNH479\nvZOEZFUAF58cw6ng3Tha18Kz5QAa1mj+xgBOXDO58/f3x8zMjGnTpvH1118DqoEK48ePf+N3XXH5\nbYFEq9GQmQlX7lXg0uNmjO+nm8BcXDO5i4+PL/Q+3hqL6+vr06xZM44fP65Rfvz48Txbxlq3bs2Z\nM2fUk1MC+Pj4YG9vT/Xq1XN9DajuH7Gzs8tv3YW3iEuIZufJH/jml89zzO9Uq2pDJn+8kNF9vixz\nQZsgFLXvvvtO/YHr6OjImDFjinT/Ry9I/LQ/a33tVFVOyqKgp9CnvWsv5g/fQK/WQzAyMFE/9yjy\nHj8eWMS326Zw5Y6fmAOugIYMGULNmjUB1awKs2fP1slAhWZ1ZcwckrX+hTfceyIGKpQ1+WpEnTp1\nKps2beLnn3/m9u3bTJ48mbCwMMaOHQvA7Nmz6dKli3r7Tz75BBMTE4YPH86tW7fYs2cPS5cuZdq0\naeptVq1axb59+7h37x6BgYHMnj2b/fv3M3HixCJ+i+VPRNxTfvtzHf/5ZSx+14+QqcxQP+dsX58J\nfb9hUr8FODs00GEtBaF0uHDhgkZPwPz58zE0NCyy/T8Ml/jXf7LW+3aA/u8V2e7VDA2M8WzRn38P\n38B7TT9EX5F1H9bT6AdsOrKMRVsm8XfgX+rpgIT80dfXZ9GiRepWS19fX40WWm2aPyJrbrekZPh4\nDrxMEcFbWZKve9wGDBhAbGwsCxcuJCwsjIYNG3LkyBGqVlW11ISHh2vkazM3N+f48eOMHz+e5s2b\nY2lpyYwZM/Dy8lJvk5aWxsyZM3ny5AnGxsY0aNCAw4cP4+npWcRvsfwIfRbEict/cDP0EhKaf6g1\n7OrSs9VgXKo1Fve0CEI+PX/+nClTpqhbT9577z06d+5cZPtPSZXoPwdiXvWe2FWCddMp1r9RU2Nz\nPmw3nE5N3+fklX34XT9KWkYqAJFxT9l6fDVH/t5Ol2Z9aVG/EwZ6RReklmUtW7ZkxIgR/O9//wNg\nwYIFeHh4qL8ntcXQQMYv8yQ8xkJaOly/B2O/hV/mSeKzv4yQSbpoz31H2fuELSwsdFiTkufSpUs8\njr3Dw/gb3A+7neN5J9s69Gg1iLqOTcrVH624vyJv4tzk7p/nRZIkxo0bx9GjRwGwtLTkyJEjOUbY\nF8aYbyV+3Kda1lPAybXg0Vi7f6eJyS/wvXqA09cOkZKmOd+bqVEF2jTshjkOmBqai2vmH/55zSQn\nJ9OzZ08ePHgAgIeHB7/++qtOPnt/3C8xZmnW+tppMK6v9uohPmdyVxTxjM5GlQqF8zI1kUtBvhy/\n+gcvkmNyPN+ghjtdmn1ETfv65SpgE4Sisn37dnXQBrB06dIiDdo2HcoK2gCWTdR+0AZgZmxO7zZD\neK/ZB5y5dgTfq/tJSkkAVNOIHPffjQwZ1SvXo5KDGU62dcRnSh6MjY35/vvv6d+/P0qlkrNnz7Jp\n0yZGjBih9bqM6gMXbsFG1UwlTFkFTV0kWjUU/3elnQjcSpnHkSH4XT/K5eDT6u6N1xRyPdzrduC9\nph9iV6laHnsQBOFtQkJCNPIrDx06NMck5IVxwl9i7HdZ64O7wsSPi2z3BWJiaIZni/50dOvDuRs+\nnLp2kNgXkQBISDyIDmTFzi9wtKlNhya9aVKrtUamBkGladOmfPbZZ/zwww8ALFq0iLp169K6dWut\n1kMmk7F2qsS1u3AlGNIz4KPZcHq9RO1qIngrzURXaSmQlpHK1Tt++F0/ysOIuzme11cY0qFJLzo0\n6Y2FmZUOaljyiGb6vIlzk7vX58XZ2ZmPP/6Y0NBQQDVh5v79+zEyMiqS4/x9S6LLZNWN4wANasCF\nH8HUuGR9mSqVmdwIvcSpgAO5Jq03MapA87odaFW/Cw5VnLRfwRIgr7+l1NRUBgwYwPXr1wFVN/ve\nvXtxdHTUeh0fhEm4j4TYF6r16rbgtwEcqhTv9SY+Z3InukrLMEmSeBAezKUgX67c8eNlamKObewr\nVaeaRX1qVmlI61Zi0mJBKKy0tDRGjx6tDtoMDAxYtWpVkQVtt0Ilek3PCtqqWsPBZSUvaAOQyxW4\n1mqFa61W+PgeJCjsEg9jAsnIVOVpfZmSwKmAg5wKOIijdS1aNehCszrtMDY01XHNdc/Q0JANGzbw\nwQcfEBUVRVxcHKNHj2bXrl2YmWl3knMnOxn7lkp084LkVHgYDt284NQ6icoVS951J7ydCNxKmOj4\ncC4F+eJ/+xRR8WE5nlco9HCr5UHbxt2pYVeXy5cv66CWglD2KJVK1q5dq24pkMlkrFixgnr16hXJ\n/kOeSHhOyWr5qGQBx1ZAdduS/+VpZWaLR+0+jPxgCudu+nD+5nFiE6LUzz+KvMejyHv8ceZ/uNX2\noFmd9rhUbYRCUX6/Yuzs7Pjhhx8YNGgQaWlpBAcHM2XKFLy9vdHT0+558WgsY/ciifdnQkYmBD2A\nXtPBZ6WEhVnJv/4ETeX3r6oESXgZz/WQC1wK8iU0LCjXbSqZ29CmkSet6nemgkn56y4WhOIkSRK/\n/vor58+fV5fNmTOnyLIjXL6tammLjFOtmxnDke+hnlPp+tKsYFIRzxYD6Nr8Y+4+vsH5W8e5FnJB\nPe9bekYaF4NOcjHoJKbG5jSp1YamLh4429dHLlfouPba5+bmxqJFi5g+fToAf/75J15eXqxcuVLr\nwVv3VjI2z5cY8hVIElwKgvbj4PD3UrF3mwpFSwRuOhKXEMX1kL+5FnKBkKeBGrlDXzMyMKFJ7TY0\nr9sRZ4f6BUoKLQjCmymVShYtWqROFA4wfPhwRo4cWST79/lb4uM5kPiqe9TQAPYtBfd6pffLUi6T\nU8fRlTqOriQlv8A/+DTnb/3Js+gH6m2Skl9w9sZRzt44irmpJW61PXCr3RYnO5dy9VnWr18/7t69\nqx6scOjQIZRKJatWrUJfX1+rdRnURcbzBIlxy1TrN0LAYwwcWS6Vuh8R5ZkI3LQoMu4p1+5d4FrI\nBR7lMsgAVB+I9ao3pXm9jjSs2VxMfikIxSg9PZ1Zs2bxxx9/qMs8PT2ZO3dukUx5sfmIxKjFqu4p\ngIoVYP9SaOtadr4kTY3N6dCkN+1de/E4MgT/4NNcvXuW+MSsaYpeJMWp74erYGxB/RruNKzhTh3H\nJhgZGOuw9toxa9YsUlNT2bRpEwBHjhxBkiRWrVqFgYF2R+aO/UiGsaHEZ0tU1+WjCGg7FvYtlcrU\ndVmWicCtGKWkJXP3yQ2CHlwh6NFVYuIjct1OhowadnVpUrsNzeq0o4JJRS3XVBDKn5SUFMaPH89f\nf/2lLmvZsiWrVq1CoShct97LFInJK+HnA1ll1WxU3aP1a5TNL0eZTIajTS0cbWrxYbvh3H8WxJU7\nZwm4e1ad3B4gITmevwNP8HfgCRQKPWo7NKRhzeY0cHKnkkXRzZNXkshkMubPn49cLldnVjh69CjD\nhg1jzZo1VK5cWav1GdZTho2VRP+5qoEycQnQaSJ885nEzCEgl5fNa7SsEIFbEVIqM3ka/YCgh1e5\n/fAqoWG380zaLJcrcKnaCNdarWlUswXmppZarq0glF8hISFMmjSJwMBAdVmXLl0YNWpUofOQ3giR\nGDRfdQP4aw1rwuHvoap1+fhClMvkODs0wNmhAX07/B/3ntzkyh0/boZe1AjiMjMzuP0ogNuPAtjF\nj1SxsKN2tUa4VGtM7aoNy9SPWJlMxty5c5HL5fz000+AKg/u+++/j7e3N66urlqtT/dWMk6uUd17\nGfUcMjPhyw3wlz9sni9hW6l8XKulkQjcCiE9I53HkfcIeRpIyLNA7j8LIvkfKWOyM9A3oq6jK42d\nW9GwRnNMjLQ7LFwQBNi9ezfz58/n5cusv9Vx48bRsWPHQnWPpqZJLN8O32yElLSs8kFdYMNMMDct\nn1+ECrlCfT+cUvqcRxH3uHX/EjdDL/E02z1xAFHxYUTFh3Hupg8AdpUcXwVxjahhV7fUD8ySyWR8\n+eWXWFhYsHz5ciRJIiwsjAEDBvDvf/+bwYMHazUrhXs9GRd/Vg1YOHdDVfanP7h+CssmSgz1LN68\nuULBiMCtAM7eOMbl4NM8DL9LembaG7d1qOxEvepNqVvdjRp2ddHX0+7NqIIgqERFRbFw4UL27cvK\nM2VgYMD8+fMZMmSIehqQgjh6QdU1evdxVpmxIayZCiN6iS+/1+QyOU62LjjZutCr9RDiEqK4ed+f\nW6GXuPv0JukZmp+nYTGPCIt5xKkA1cCRyha2ONnWwcmuDk62LjhUdip1U47IZDImTJhAgwYN8PLy\n4sWLF6SlpTFnzhwOHTrEggULqFGjhtbqU91Whu9aia/+B4s3q0acRj2HYd/Af/fBmikSTVzE9VuS\nlK4rvoQIj32c60zioBou71KtMfWqu1HXsYnoAhUEHUtNTWXjxo2sW7eOxMSsiaxr1qzJmjVrqF+/\nfoH3ff6mxMJNcPi8ZnmT2rD1q9I33Ye2WVaoQrvGPWjXuAfpGek8jLjDncfXufv4Bg/C75CpzNDY\nPjo+nOj4cPyDTwGgr2eAo3UtqlrXpGqVGjhUqYGtVTX0FCX/B3KnTp3Yt28fY8eOJTg4GIBz587R\nvXt3xo8fz5gxYwrdbZ9fenoyFoyGTk0lhi+Ap6+m6Dt7Hdz/D4b1lPhiKCJVVgkhArcCqGlfX+MX\noLN9fWo61KeWQwMqW9iKX9eCUAKkpaVx4MAB1qxZw8OHDzWe69+/P1999RUmJibvvF9Jkvjzkqp1\nwveq5nMWZvCfUfD5R6ovQyH/9PX0qeXQgFoODaDVYFLTUwh9FsTdxze49+wWjyND1PPFvZaekUbI\nM9WtKq8p5HrYWlXFIVsgZ2tVlYpmlUvcZ7OTkxN79uxh+fLlbNy4EaVSSVpaGitWrGDr1q2MHj2a\nwYMHF+g6LYjO7jKCtkl8swlW7lDlN1UqVYnqfzkMH3eUmPUvcBMtcDolcpUWQFJ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x0Ost6BvSwetXOw3R5XWyTwONxoJMjlpRFGO5IlKYViPCMSkOGo2Zo1cUddpP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\nyxURERGRgliuiIiIiBT0/wAlTSY6slkCsgAAAABJRU5ErkJggg==\n", 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mwSrcWUu8ew55VhPfXz9Efs74XeydY9OwmaL4gwH6valvwipEppJwJUQKtB33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\na0mZNPjBD37AQw89xGOPPcacOXPYs2c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HHvoDq1Z9j1wuDxxCMVgdOo0VXAM8BQbwedx84r/O5Iwz3juN7eunODQo4UrU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\nHPg48Fkgi8lqZN7cWfxs7S2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Hr7dzYkhYgpUQeitJz9Vll11GLBZj4cKFGI1GCoUCV155\nJRdeeGEpDi+EOAj19fXYbDa2bLGQSPTzz39upaOjBa/XpXdp4gBpmsbQUIiRkXHM5hYCgVa6urow\nGo16lyaEABRN07SDPcjPfvYzLrvsMm6++WYWLlzIiy++yMUXX8zNN9/MBRdcsMvXRiKRnZ9v3rz5\nYJsWQkxRLpejv7+fZHIMTQvh8dhoaqrDaJSbhqtJOp1hcDBEJmNGUeqoq2ugsbFRhnuFmGbz58/f\n+fmbe4xLEq5mzZrFpZdeykUXXbTzsWuvvZZ7772X119/fZevlXAlhH40TWNsbIyRkWFUdQyjMUFL\nSz0ul0Pv0sQ+aJpGKDTO6GgMRQlgsfhpbW3F4ZB/OyH08FbhqiTDgslkcrfFCg0Gwz6XYliyZEkp\nmi+bDRs2AJVfZyWSc3dwyn3+0uk027ZtIxIZIZsdxOl00N7eNGOGlTZu3AjAwoULda6kNJLJNL29\nA/j9XpqammlubqWtra1si8TKz++Bk3N3cKrp/L2xs+jNShKuTj/9dK6//nrmzJnD4Ycfzt/+9jdu\nvfVWzj///FIcXghRYjabjUMOOYSRET99fQ6i0WE2beqRuVgVZte5VY14vY3MmTMHl0v+jYSoZCUJ\nV7fddhtXXXUVn//85xkZGaGlpYULL7yQq666qhSHF0KUgaIoNDU14fV62bbNRSQywtatg3i9Nlpb\nG7FaZR86PY2PxxgcHCGXs2K1dpa9t0oIUTolCVdOp5NbbrmFW265pRSHE0JMozf3YiUSo2zatI26\nOg/NzfWYzbIF6XSKx5MMDo6QTKqYzU14vXXSWyVElZGrphBiZy+W3+9nYGCAYHCY8fFRxsZ6aGjw\nTdxVODPmY1WqVCrNwECQWCyDxVKP211PS0sLDQ0NciegEFVGwpUQYieLxcKcOXNobm6mv7+fsbEg\no6MhRkd7aGoKUF/vl2GpEstksgwOBhkfT2A21+N0zqK5uZmmpplzg4EQtUbClRBiNzabjblz5+4M\nWePjIYaGggSDYZqb6/H7PRKyDlI2m2NkZJRQKIrJ5MfhaKGxsZmWlhZMJrk0C1HN5CdYCLFXTqeT\nBQsWEI0209fXRzw+Rn9/iP7+YerqfNTX+2Xi+36KRuOEQuNEIglMJh82WxcNDU20trZisci5FGIm\nkHAlhNgnj8fDwoULJxYgHSEWGyccDhMMbsPlslFf78frdcncoL3I5/OMjUUIhcLkckZMJj9OZxuB\nQB3Nzc3Y7Xa9SxRClJCEKyHElAUCAQKBAMlkkmAwyOjoKNnsONu3j2IyFXuz6up8cofhhEQiRSgU\nZnw8hqK4MZvb8Hq9NDQ0UF9fL8N/QsxQ8pMthNhvDoeD2bNn09bWxujoKMFgkGQyQjAYZmhoCx6P\nE6/XhdfrqrkAkUqliUTiRCIxUqkCZrMfq7URny9AY2MjHo9HeviEmOFq66onhCgpk8lEU1MTTU1N\nRKNRgsEg4fAo6XSMeDxOb+8wLpcVj8eF1+vGZrPqXXLJaZpGPJ4kEokRicTJ5cBodGE0NuLxeKmr\nq6OhoQGrdea9diHEnkm4EkKUhMfjwePxkM12EIlEGB8fJxqNksvFGRmJMzi4A4sFvF43Ho8Ll8tR\ntT04hUJhZ+9ULJZA06wTgaodj8eFz+fD6/Xi8chdlULUIglXQoiSslgsNDQ00NDQQKFQIBqNEolE\niEQiZDJxwuE4odAIkMHhsGG3Fz8cDhs2m7XiApeqqiSTaVKpNIlEilQqTTqdw2h0YjS6sViacTrd\neL1efD4fTqdT75KFEDqTcCWEKBuj0Yjf78fv96NpGolEgvHxcSKRCKlUglwuTTabZmwsgaqGUJT8\nboHLYjFPy2KamqaRzxfIZLK7BSmDwTbx4cRgqMPptOF2u3f2UMmQnxDijSRcCSGmhaIouFwuXC4X\n7e3t5PN5kskkyWSSRCJBMpkkk0ntErg0bRRVzWMwaJjNJsxmE6b/397dhjTZPWAAv+652bbsEXuZ\nS3vRpKRZjTDrg1IaFEnZC2WaGq0PFRSVFmlRRoGlfaig1CKhsCAs+tILBRU2kV4gexFMUsJMIVYR\nZKhZczv/D5U9Syvruevs/nf94IbtbJxdHAa7OLt3T6/vdTsgIACKokBRPr7Ohw9uAEBX13sIISDE\nl/Lkdrvhdnf3HN3dX24rih6KYuhVpMxms89hMpn4dR8RfRPLFRFJodfre87T+uzrwtXV1YUPHz7A\n4+mGEF9KUGdnN7xeN4R4D6AbQngBiE+zCDQ1uQAAihIEQOk5FCXgU4HSQ1GMPbf1egMMhgAYDAYE\nBgaySBHRf8JyRUR+o6/CBXw8gfzjjlPfh8fjAYBPu1QCAwZ4AQAhITGfdrQ+Hh93ugzfPPztfC8i\n0iaWKyLyewEBAQgICIDRaOzX89+9ewcAiImJ+Z2xiIj6xL1uIiIiIhWxXBERERGpiOWKiIiISEUs\nV/bVLjYAAAgGSURBVEREREQqYrkiIiIiUhHLFREREZGKWK6IiIiIVMRyRURERKQilisiIiIiFbFc\nEREREamI5YqIiIhIRSxXRERERCpiuSIiIiJSEcsVERERkYpUKVeRkZHQ6XS9jpSUFDWmJyIiItIM\nvRqT1NTUwOPx9Nx//vw5YmNjkZaWpsb0RERERJqhSrkaMmSIz/2ysjIEBwcjNTVVjemJiIiINOO3\nnHN1/PhxLF++HAMGDPgd0xMRERH5LdXL1dWrV9Hc3IxVq1apPTURERGR31OEEELNCVNTU9Ha2oo7\nd+70+XhbW5uaL0dEREQkVXBwsM99VXeuXr16hQsXLmD16tVqTktERESkGaqWqxMnTsBoNCI9PV3N\naYmIiIg0Q9WvBaOjo5GUlISjR4+qNSURERGRpqhyKQYAcDqdePLkCU6fPq3WlERERESao/oJ7URE\nRER/M/634A8UFhZCp9Nhw4YNsqNohsvlgsPhgMVigclkwoQJE1BdXS07liZ4vV7k5+djzJgxMJlM\nGDNmDPLz8+H1emVH80vV1dVYsGABRowYAZ1Oh5MnT/Z6zq5duxAeHg6z2YykpCTU19dLSOp/vrd2\n3d3dyMvLg91uR1BQEMLCwpCZmYnW1laJif1Lf957n61ZswY6nQ4HDhz4gwn9W3/Wr7GxEYsXL0ZI\nSAgGDhyIKVOmoKGhQULan8dy9R137txBWVkZ7Ha77Cia0dbWhvj4eCiKgitXruDx48c4fPgwLBaL\n7GiaUFRUhCNHjqC4uBgNDQ04dOgQSktLUVhYKDuaX2pvb8fEiRNx6NAhmM3mXo/v27cPBw8eRElJ\nCWpqamCxWDBr1ix0dHRISOtfvrd2nZ2dePjwIfLz8/HgwQNcuHABra2tSE5OZtH/5Efvvc/OnTuH\nu3fvIjw8/A+m838/Wr/m5mYkJCQgKioKTqcTjx49QkFBAYKCgiSk/QWC+vTmzRsRFRUlnE6nSExM\nFOvXr5cdSRO2bdsmEhISZMfQrHnz5gmHw+EztmLFCpGSkiIpkXYEBQWJ8vJyn7Hhw4eLwsLCnvvv\n3r0TgwYNEseOHfvT8fxaX2v3tfr6eqEoiqirq/tDqbTjW+vX3NwsRowYIR4/fiwiIiLE/v37JaTz\nf32tX0ZGhsjKypKU6L/jztU3rF69GkuXLsWMGTNkR9GU8+fPY9q0aUhPT0doaCgmT56MkpIS2bE0\nIyEhATdu3OjZ+q6vr0dlZSXmzp0rOZn2PH36FC6XC7NmzeoZMxqNmD59Om7duiUxmTa1tbVBURSE\nhITIjqIJHo8HGRkZyM/PR3R0tOw4miKEwMWLF2Gz2ZCcnAyLxYKpU6fi7NmzsqP1G8tVH8rKytDU\n1ISCggLZUTSnqakJpaWliIqKwtWrV5GdnY2tW7eitLRUdjRNyMvLQ1ZWFmw2GwIDAzFx4kQ4HA6s\nWbNGdjTNcblcUBQFoaGhPuOhoaFwuVySUmmT2+3G5s2bMX/+fISFhcmOowk7d+6ExWLhRbV/wcuX\nL9He3o69e/dizpw5uH79OpYtW4bMzExcuXJFdrx+Ue1SDP8vGhsbsX37dty8eRM6Hbvnz/J6vZg6\ndSr27NkDALDb7WhsbERJSQnWrl0rOZ3/q6iowKlTp1BRUQGbzYaHDx9iw4YNiIyMxMqVK2XHo7+Q\nx+NBZmYm3r59i0uXLsmOowlOpxPl5eWora2VHUWTPp/Xt3DhQmzcuBEAMGnSJNTU1KC4uBjJycky\n4/UL28NXbt++jdevX8Nms8FgMMBgMKCqqgolJSUIDAyE2+2WHdGvDR8+HOPHj/cZGz9+PFpaWiQl\n0pbc3Fxs2bIFqampiImJQWZmJjZt2sQT2n+B1WqFEAIvXrzwGX/x4gWsVqukVNri8XiQnp6Ouro6\nVFZW8ivBfqqqqoLL5YLVau35HHn27Blyc3MxatQo2fH83tChQ6HX6zX9WcKdq68sWrQIcXFxPmMO\nhwPjxo3D9u3bYTAYJCXThvj4+F4/lW1oaMDo0aMlJdKWzs7OXjumOp2Ov9D6BZGRkbBarbh27Rpi\nY2MBAF1dXaiursb+/fslp/N/3d3dSEtLQ319PaqqqjBs2DDZkTRj3bp1SE1N9RmbPXs2MjIysGrV\nKkmptMNgMCAuLq7XZ0ljY6NmPktYrr7yzz//wGaz+YwNHDgQgwcP7tWiqbecnBzEx8dj7969SEtL\nw/3793H48GEUFRXJjqYJKSkpKCoqQkREBGJiYnD//n0cPHgQDodDdjS/1NHRgSdPnkAIAa/Xi5aW\nFtTW1mLw4MEYOXIksrOzUVhYiOjoaIwdOxYFBQUYNGgQli1bJju6dN9bu7CwMCxZsgT37t3DxYsX\nfXYAg4ODYTQaJaeX70fvvaFDh/o832AwwGq1Yuz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aD44cKcbBwd8ip724wGQy8dVXxdTVWRMY6IW7u/uQ///1Rsi/xdA1GM7t9YZo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\nNLU0ob6+HtOnT5c7EpHVYSkjImg0GmzatAkdHR0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SWxEzN4bS/aUczDzIyQ9PUlxczH333Yderzd3eRatu7ubbdu2sXnzZpqbi+nqKiU83IFr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\nNoxy06OqKlUZp9urLhq8oi9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gNLWApmYT/lM9SZqUhLXVqUBWV18HMGzblP2c+yh3TM0m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\nf76YkJBw27alS5eKsbGxMiUiqajVanH37t23bdNqteLGjRs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7iTa/6/Rj1YUaT/73Z5f+9AXgnZZkXHvswFeAX6OYKvHMPx4649HYYJiBt3dz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\nWq1Sq9XOup+Ux+PhX//1Xxv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+spuCvxcwd+1c0IB9wM6AfQC73X5SCBt86HRa9Doder0Bvd6C5p/6S6lulU9e\nPEjpzhPXG+cDvwRWc9LFxFESCdx4/AFgBz4G3gW20FHTwaG3izj0dhF+UVbiFs8g+doYTL5nnjw3\nMM4Pt8tN/u4ylL9sR6/XsXTpwguuUKPRYLV6YbUODpZSVZXe3n5sth5stk56ehro79fS3e2FVmtG\no/HCbPbG398ff39/LBbLOfYghJiIJJQJIc6LRqPh/vvvp7Gxkb1Fe8n/OJ+wBWGobgdu1Y6qOtHr\ntOj1OnR6Ezqd9pQQdjK3S+WT3x6gbHc1g5ciXwNuZRSmURwhA7Dq+ONl4B/An4HNdNS2c+DNAg69\nW0T8lVHMXhlPYNzpL28GJwbgdqnkZ5Xxpz9vw2DQs2hRxqhUqCgKXl5mvLzMnLijXV9fPz09fXR3\n27DZmhkY0NHd7UN9vQ9msxV/f38CAgIwm//58q4QYqKSUCaEOC/d3d20tbWxePFiyiqKKMgvQGu1\nE5IcgNlowGA4tSXsTNwulX0v5FC+pwawAH8DrhrD6s/FAKw8/niJwRa03+J2/I3SndWU7qwmPC2Y\nuTcmEZ4WfMoIydBZgbidbvL3l/LGm1vR6/VcemnamFRqNpswm00EBfmjqio2Wy8dHd10dh6lo0NH\nd7eV+npfrFY/AgMDCQgIkHnThJjgJJQJIc7J6XTS0tJCW1sbvb2dOJ0d+PnZuH7VQtjeR0luFeGx\nQZh8zq/zednuo8cDmRfwIXDlWJR/gfR8FdDKgBeAV2k40kLDkRaCEvyZd3MyMzLDhoWz8NTgwWCW\nXcbGP2zGbDaSlpZ0+l2MEkVRhi53RkWFDgW09vYK2trMdHb6UVPji7+/P8HBwXh7e49pPUKICyOh\nTAhxRi6Xi6amJpqamhgYOIbT2Y5O5yIoyJeAgBjmzUscnJNrl5vi7ZXMvSkZvWlkXytOu4tD7xQd\n/+0lJlYg+2cJwNPAfwC/BZ6htayVf/x6PxFzg1l479xhgwIi54fitLvIzyvjldf+zPe/dydJSTHj\nUunJAS0yMoSOjm7a2trp6Wmkv9+H1tZA/PwCiYyMlL5nQkwwMp20EOIUbrebxsZGjhw5Qk1NITZb\nCUZjF7GxwaSkxBMeHozRODjB6S23XEd68mwCVD9K/3EU1T2y+airP6+np7UPSAXuHNPjGT3+wL8B\nRxkMaX7UH25hy492sv/VwwzYvprCY+Yl4ViTvDjSVMLL//s2VVV1416tRqMhIMCXxMRoZs+OITBQ\nw8BABS3wHpSvAAAgAElEQVQtJeTnH6G8vJz+/v5zb0gIMS4klAkhhqiqSnNzM3l5eRw9OhjG9PoO\nEhIiSEiYiY+P9yn9qPR6HffeexNzIhNwN7upzm4Y0b5Kd1Uff/YvTL6vIgvwQ6AU+B6qW6FwWznv\n/eAjinZU4napKIpC7KJIjDP1HG4o5sUX36KhoeUc2x07RqOBiIgQ5syJJyBAYWCggqamYo4cyaWq\nqoqBgQGP1SaEGDTZvgmFEGOkt7eXwsJCKisL6eoqQattIzY2lMTEmFMmPv1nAQG+fOueG0kOjKMl\nt51jVZ1nfT9Aa3n78WdrR6F6Twli8HLmAWAJA912Pnv5EB/8bBdtFR0oikLCVdEoYQqH64t54YU3\naW1tP8c2x5ZOpyMyMpSUlDj8/FT6+ytoaCgiL+8ITU1NTII77wkxZUkoE2KaU1WV+vp6CgvzaW8v\nAxqJjg4iOTkWH5+RdwhPSorhprXLSQ6MpWxnNX0dZ74spqrqSbdNCrq4A5gQ5gG7gHeAmRyr7OSv\nj+6hYFs5igaSr43B7ufgUHUhv/3tm3R0dHu43sEWzhkzwpg9OwZvbzu9veVUVZVQUlIirWZCeIiE\nMiGmMYfDQXFxMTU1pfT2lhMQoGXWrDj8/KwXtL2rr17IFZdkMNMSQdH2SlwO12nf5+x3He97ZmFw\nlONUoAC3AIXA93A73Xz+6mF2/uZzHH1OZl0XR49XLzkVBfz2t2/S09Pn4XoHGY0GYmIiiY0Nw+2u\no62tjPz8PNrbPduiJ8R0JKFMiGmqr6+PoqIi2tsrUdVG4uMjiIoKQ6O58K8FRVG4887rmRefjNXu\nRdmu6tNeDnP0OY4/O/dtjCYfC4OXNN8FfKn+ooG//GQnbRUdzF4VT7u+k5zSfF566U/090+cFilf\nX29mzYrFanXR21tBWVkxjY2Nni5LiGlFQpkQ01B3dzdFRUV0dVViMPSSnBwzdEufi2UyGfnOd25m\ndmg8/bV26nObT3nPVzmtH3CPyn4nnpuBg8BCelr7+PDfsyjcVs7sVXE0qa18UXCY1157H5fr9K2J\nnqDT6YiJiSQ83Jf+/iqqq8uprq4+94pCiFEhoUyIaaavr4+ysjJ6eyuxWlUSEmai043ulIUhIYGs\n++YaZgXEUf9lCx21w/tQWQJMeAWZgQ7g8Kjue2KJBbKAh1HdKjl/LCDnjQJmr46nZqCRzw4d4p13\n/j7hOteHhAQSHR2K3V5NQ8NR6urGfzoPIaYjCWVCTCMOh+N4IKvBatUSGxt1UZcrz2bu3GSuX3kV\nSf4xlHxcNazjv6IohKcGH/9t15jsf+LQA08AWwETJR9X8cVrh0laHk1Z11E+3vsZH330qYdrPJW/\nvw+xsRE4HHXU11fT1tbm6ZKEmPIklAkxjVRWVmKz1WMyOYiOjhjz/a1atZjLF6QTY46k4G/lJ/Ul\ng7DUE6Mup3ooO+HrwHbASuUndXz5eh4xV0RQ2FbOe3/ZQU5OvqcLPIWPjzeRkUEMDNRQVVVBX9/E\nGJwgxFQloUyIaaKjo4OOjhZUtX1MW8hOptFoWL9+LQtmzSGYAAo/rMDtHOxD9lVL2W7A81NEjI/F\nwE4ggJqcRnLeLCB0fgCFbeVsemMLZWUTr/9WUJA//v4WBgaa5TKmEGNsRN/KWVlZrFmzhqiowS/y\nTZs2nfKeX/ziF0P3Ulu6dCkFBQXn3O6ePXvIzMzEbDaTkJDAyy+/fP5HIIQ4J1VVqaurw+FoJiws\nEL1+/G57azQauP/+W5kfOxuTzUTJP46iqirewRZCkgMYDGTPjFs9npcJ7AHCaMxr5fD7JXjHWchr\nLuN3v3uH5uaJd5kwIiIYVe2ivb2Frq4uT5cjxJQ1olBms9lIS0vjueeeO+0NbJ944gmefvppXnjh\nBbKzswkJCWHZsmX09PSccZtVVVWsXr2aK664gkOHDvHII4/w4IMPsnnz5gs/GiHEaXV3d9PT045O\nZycoyH/c9+/j4839999KangiznonR/fXA5BxZ8rxdzwFTLwwMnZSGRwAEE1LSTs1XzagCVU4Ul/K\nSy/9ie7uM393eoJOpyM0NAC7vZWWFs/dKkqIqW5EoWzlypU89thj3Hjjjafc9w7g2Wef5dFHH2Xt\n2rWkpKSwceNGuru7efPNN8+4zRdffJHIyEieeeYZkpOT+c53vsP69et56qmnLvxohBCn1dnZictl\nw8/P57Sf4fEQHh7Mfd+5hZTgBI7ld9GQ10J4ajAR80KALuDXHqnLcxKADwEfjn7eQO+xfnq9+jhU\nWcTvfvcuDofzXBsYV/7+vrjdNrq7uyfcaFEhpoqL7lRSWVlJY2Mjy5YtG1pmMplYvHgxn3565hFF\n+/fvZ/ny5cOWrVixguzs7Ak1b48QU0FXVxcul+28bps0FpKSYvjmXWtICYqn9rMmjlV1suCuE61l\n/xeYbn2WZjN4ayYNRzaXYA31ollt48vCPDZt2jKhwo/BoMdo1GK395z1KogQ4sJddMeSxsZGFEUh\nNDR02PLQ0FDq6+vPut7JQe7EOk6nk9bW1lO2d0J2dvbFljwuJkud4sJMtvNbXFyM01mJRtODVuvZ\n8T3e3loWzEuidXcbedtKiF8+g4gFwdTntAAPMDh1hGda8zxjBYOthA/z6f8e5PKH5lG8v5yBj3vp\n67Nx9dWXerrAIfX1LXR3t9Hd3Y+vr6+ny7kgk+2zK0ZuMpzbxMTEs74uoy+FmAYGW1xUPHTl8hSL\nFs1n4fxUZhrDqNhZS/LqaPQWHfBX4GlPl+cBPwZW4ehxkvdOGTMXh1HV28Dezw6Qk1Po6eL+iTqh\nWvCEmEouuqUsLCwMVVVpamoiKipqaHlTUxNhYWFnXa+pqWnYsqamJnQ6HUFBQWdYCzIzMy+25DF1\nIqlP9DrFhZms51ev19PVpSUpKRaDYWLcADw5ORnLS39iz8FsmopbWfRAOrv/z5fAz4BLgSs8XOF4\n0gAbgRTaSlpQerUkL4+jZm8Dn32RR3r6XFJTz/4X9ngwGmsYGPAjKWke/v7jP2DkYkzWz644t8l0\nbjs7O8/6+kW3lMXGxhIWFsZHH300tKy/v5+srCwWLVp0xvUuu+yyYesA7Nixg8zMTLRa7cWWJYQ4\niZeXFxqNZUKN6tPpdNx7782kx8/G126l91g/KdfHA07gRqDKswWOuyDg3wDIebOAoHh/QuYHUNBa\nzmuvv0d1dYNHq1NVlZ6eXjQaM15eo3OfVCHEcCMKZT09PeTm5nLo0CHcbjfV1dXk5uZSU1MDwA9/\n+EOeeOIJNm/eTF5eHvfccw9Wq5U77rhjaBvr1q1j/fr1Q78/8MAD1NXV8dBDD1FUVMQrr7zCpk2b\n+OlPfzrKhyiE8PHxQav1nlChDMBiMfHd797G3KhkNG0a/Gf6HB+N2QLcwOC9MaeTB4CZdFR3Ubmv\nhqgFYVhiTOQ1lfHyy2/T1ua5f4+enj5U1YDF4o3BYPBYHUJMZSMKZdnZ2aSnp7NgwQL6+/vZsGED\nGRkZbNiwAYCHH36Yhx56iB/84AdceumlNDU1sWPHjmF/TdXU1FBbWzv0e0xMDNu2bSMrK4v09HQe\nf/xxnn/+edauXTvKhyiE8PX1Rav1pqOjh4EBu6fLGSYw0I/vfvc2UsMS6Ts6QOLVM/GN8AaOAFcz\nGNCmCyPwnwAc+FMhbqdK/JIZuPydHKkt4eWX36a3t//smxgjTU1t6HS+k7aDvxCTgaJOgh6bJ1+D\nnehfCJPp2rY4f5P5/FZVVdHQUIyXVz+xsVHnXmGc5eWV8tuX3+RwczGBaf5kb8qju7EHmAV8DER6\nuMLx4gLSgEIW/38LiF8yE+eAkyNbSglVg1iSfgkPPHAbOt343ZWhq8tGRUUj3t5JpKWljeu+R8tk\n/uyKs5tM5/ZceUZGXwoxTURGRmI0BtHZ2c+xY2fvbOoJqamJ3H7LamYHxtN8pI0rf5CB30wfoAi4\nEqjwcIXjRQt8F4C63GYAdEYds1fFUWdv4vPDubz99ofjNgLS6XRSW9uIwRBKeHj4pAxkQkwWEsqE\nmCb0ej1RUTMwGqOorm6ip6fP0yWdYvHiTFYtW0KyfyxH9zdy1Y8uISjBH6hkcDTmue+pOzUsBaDh\nSMtQ+DJZjcy+Lo6yrmr+sW8/O3Z8MuZVqKpKZWUtbrcPPj6hhISEjPk+hZjOJJQJMY2EhIQQFjYD\ngyGCiopa+vo80z/pbNasuZorL1lAjFckFXtruPrhhYTNCQIaGGwx2+bhCsdDKhBE77F+uhq+Gpzh\nHWIh4ZqZFLVV8Je//oOCgrIxq0BVVaqq6ujr0+HlFUlCQgIajfwvQ4ixJJ8wIaaZGTNmEBAQgVYb\nQmlpNV1dNk+XNIxGo+Gb31zDJbNTCVECKdtVzdKHFzIjMww4BqwGfgJMrAELo0sDXAVAY97wgQ4B\nMb6EZQRR1FrJxo1bxmREpsvloqysmu5uMJujSEhIQK+fGPPbCTGVSSgTYppRFIX4+HiCg2PQ6aKo\nrGzw6FQLp2Mw6LnvvluYHzsba7+F0n8cZemPL2XBXSkoGgX4H6Z+P7P5AHQ1njqNSVRGKLpwLQWN\n5bzyyp+x2x2jtteBATslJVX09xuxWmOZNWs2Fotl1LYvhDgzCWVCTEMajYa4uDiiouIwGGZSW3uM\niopaHA6np0sbYrV68f3v38n8mSkYOw0Uf1xF6pokVv7ySryCzMAXQDrwrocrHSu9AMdvPzWcoigk\nXj2TDm0Xh8qKePvtbaPS8b+1tZ2ioirc7gD8/GKZNWuWBDIhxpGEMiGmscjISOLjk/HySqC310BR\nUSXt7V2eLmtIYKAf3//+ncyLSkZpVijbdZSQpADWPHU1My8NB7qAW4FvM/XmMxscIWuwnP6yoc6o\nY9aKWCq7a9n96ZdkZeVc8J7sdgelpUepq+vEYIgmJCSO5ORkmSRWiHEmoUyIaS4wMJA5c+YQFJSA\nThdFdXUrpaVV2Gy9ni4NgLCwIL73wB2khSdhr3FQsa8Wg7eeqx9eyMJvz0Wj0wCvAUnAc8DoXcrz\nrMFwrDefeQoKS4CZ+CVRFB+r4J0//53y8prz2oPT6aSuronCwkoGBrzw9o4nMXE2cXFxcrs7ITxA\nQpkQAoPBQGJiIrGxyXh7J+Jw+FFWVk9ZWbXHZpA/WXR0BA9893ZSQ5OwlfVS/UUDiqKQsiqeNf+z\n9PitmTqA/5/Bvlgfe7bgUZEPgMnHeNZ3BSX4E5DiR1FbBa+99h4dHd3n3LLL5aKhoYX8/HKOHVMx\nGuMIDU0kNTV10t1oXIipREKZEGJIcHAwaWlpzJyZgrd3EgMDVkpKaibE9BmJidHc9+1bSA1O5NiR\nTuoONgHgF+XD8n+/nGse+RrWMC8G5zJbBnyDyTsQ4AhwAIOXnvC04HO+O+ZrEagBbgrqyvj979/H\n6Tx930C3201TUyv5+eW0tDgwGuMICUlmzpw04uLiZGJYITxM+4tf/OIXni7iXAYGBoaem0wmD1Zy\nbvX19QBERER4uBIxFqbD+dVoNFitVoKDg9FoTDgcRgYGHDQ3N2Kz9aAoCiaTAUVRxr22kJBAgoMC\nqSttoqKsBo1Jg3ewBUVR8I20krw8Bp1RS0vJMdyuQuAlBuc3SwEmUwvQQ0AeiddEE33puf9bUxQF\n/5k+VOTX0t8+gGpXmTMnYej1vr5+mppaqa5uwGZT0OsjCAycSVxcPGFhYdNiuovp8NmdribTuT1X\nnpE/i4QQp6XT6YiKiiI0NJSGhgZaWpqx27uoqWmntrYRf38fAgP9MJvH9w+lSy5Jpb+/nz/8yc2R\nT0rQGrQEJwwGLq1ey9wbk0m4aibZf8infE8N8CLwv8DtwMPA3HGt9/x9BLyFRq8hbW3SiNfSm/Uk\nL4+h8IMKPtr1KTNmhJGQEE1bWwd9fS50Ol/0+hisVn8iIiLw8fEZu0MQQlwQaSkbZZMpsYvzNx3P\nr1arxdfXl5CQEEwmK+CFy2Wmt9dOS0sL7e3tuFxudDrtuF3+io6OwKg30Hz0GCUFVZgDTZj9vvpu\n0Jv1RC+MIPbySBz9TjqqO0E9zGDL2R7Al8GBAROtB8cOYA3gJG1tIjFfO7+bsOu99Lh1KmUF1VQc\nriE0ZAbe3jOwWCIJDZ1JTEwc4eHhGI1n76c2FU3Hz+50MZnOrbSUCSFGhU6nIyQkhJCQEHp7e2lr\na+PYsWMMDHTT0tJJY2MNJpMGPz8ffHy8MZuNY3qJc9myy+nvH0D90E3BxxUkLh+8hHcyvxk+LH4w\nk4zbUsj7oJTSndU4+3cDu4GZwJ3ALQzOdzb+l2OH+zuwFhggaVkMGXekjGgtt1vF7nBgtw8+LFHe\nmKN7OVpzjB07svm3f1tBZGSk3CJJiElAWspG2WRK7OL8yfkdpNfr8fX1JTQ0FB8ff/R6H9xuL5xO\nAzZbH21tx2hubqG7u3dotnmdTjuqIU1RFJKSYnD0O2lv6KSkoArvMAsm66mtQAYvPVEZYcxeGYfF\n30RXgw27rRXYx+ClzT8A9Qz2OwtnfANaE/DvwI8AO7NWxHLZffOP37ngVC6XG7vDQV//AL09ffT2\nDeBwAKoerdaCyWglNCGM9vp2XH0u7N12Fi5c6JE+gBOJfHanrsl0bqWlTAgxZhRFwcfHBx8fH2bO\nnElXVxcdHR10d3fT19eD3d5HS0svTU3NqGo/Xl4mvLwseHlZ8PY2X/RcWIqicNNNy3E4nKi7VYr/\nXsnsVXHHR2GeymDRk7I6ntkr42gsaKXqszqO7q+nr6MceOL4Iw64GVgKXAoEXFSNZ9YKPAn8X07M\n3p9yfTyX3pM2FKBUwOV04XA6cTicOJ0u3G5QFN3xhwmDXodOr8NgMGA0GIdaxFJWpXDo3UN8euBT\nYj6IYc2aNWN0HEKI0SKhTAgxKhRFwdfXF19fXwAcDgc2m43u7m5sNhu9vT04HL0cO9ZHa2sbLlcf\nFosRLy8zZrMJo9GAyWQ4735piqJw220rcTqduPe5KdxWQcr18XiHnPn2QIpGITw1mPDUYBbeO4/m\nojaKdlVQf6CFgc4K4DfHHwCJwMKTHvOAC5np3g7kAHuPP/YAg/e1nHFJGPNvnY1ftBW7w4nL5cLp\nGAxjqMrxAKZHo5jRGXTodXr0Bj16nR6tTotympY9k9XErOWzKPprEZu3biY6Opr58+dfQN1CiPEi\noUwIMSb0ej3+/v5Dk5G6XC5sNttQUOvp6cHl6qOzs5djx3pR1Q5U1Y5Go2IyGTEY9JhMRoxGw1Bg\nO1O/KI1Gw113fR2Hw4l7v0rBtnJSb0jAEmA+Z50arULYnCCMETrm3pGIvdFFdXYDLSXHaCvvwOUo\nBUoZvMQJg4EsAggFwv7ppy+D4WuAwdavluOPCmA/0Dds32Fzg5i1Jg7faCtut5vOjh5QtChoUBQD\nWo0FrVY3FMD0ev15tS76RfkRtTCKguwCXn3tVX7+bz8nNDR0xOsLIcaXhDIhxLg4MYrzREua2+2m\np6cHm81Gf38/AwMD9Pf343AM4HTacTrt2Gx23O4uVNWO221Hr9ceD2hG9HodOp0WjUYzNPLztttW\nYrc7UHNU8j8oJ3VNwrBRmeeiaAYDWticoMEanW6OHe2kpbSdltJjtJa001lvA6qOP86Pd7iFwER/\nApP8CUoMxBzohYIWRdGg0WnQaXVotIM/dbrBy5JazcVd4o2cH0lXUxf59fm8+OKL/Ou//qvc01KI\nCWrUQpnNZuPnP/85W7Zsobm5mYyMDJ555hkyMzNP+/6jR48SGxs7bJmiKHz44YcsX758tMoSQkxQ\nJyaptVqtw5Y7nU76+/uHBbUTz10uOw7HwGDwUp2o6gCq6gTcqKoLVXWxYEEa1dWNdJR1kfNuAUkr\nYzD5GFE0ChpF+arD+0lX/BQU+gfsKEBf3wAq6tBrlggz0eFmZi6OQHW7sfc56GsfoL9zgL7OwZ8D\nXXYGuhw4+51otBo0ei1avQaD1YjRasDkayEgPgCTr2UwRGp1aLXaYQ+NVnPay5AXS1EUkq5O4tCf\nD5Fblst7773HHXfcMer7EUJcvFELZd/+9rfJy8vjjTfeIDIykjfeeINrr72WwsJCwsPDT7uOoihs\n376duXO/mswxIGCsOtUKISYDnU6Ht7c33t7ew5arqordbj+pRc0x2PfK6cTpdA57fuediWj+9BYH\nSw9Qur2O+GVxGK2642FLPXWnqpv+PjcABsPgT047WlGHotNjCfbCEqIMhihlMEwNhj7NaX9qtVq0\nGu0Z+3+NNZ1Bx6xls8h7P4/tH28nLS2N1NTUca9DCHF2oxLK+vv7ef/999m8eTNXXnklABs2bOCD\nDz7gxRdf5L/+679Ou56qqgQEBBASEjIaZQghpjBFUTAajRiNxnPORq+qKqmpqTz77LN8evhTavbU\nMHv1bEw+JlRVHdYSduJp/8DgE2/vwOM7PGnfKKAM1qDRaAZ/nhy8JsF0E97B3kReEknxwWJ+//vf\ns2HDhlNaKYUQnjUqswme+Cv1n2eJNpvN7Nu376zr3njjjYSGhnLFFVfw3nvvjUY5QohpTlEUrFYr\nP/nJT1h6yVLiLHEUbytG7VOxWCx4Wby+engNPiwWy+Brx38/+T0WiwWL2YLZZMZoMGLQD44S1WpG\nd+61sRY1Pwo1QKWgtoA//OEPqOppWg2FEB6jqKP0qVy0aBE6nY633nqLsLAw3nzzTe655x4SExMp\nLCw85f1tbW1s2rRpaL2//OUv/OpXv2LTpk3ceeedw97b2dk59Ly0tHQ0yhVCTBN2u50///nPHCw5\nSJ2jjrjlcVgCzjxdxlQ3YBugZGsJ8eZ4bllzC/PmzfN0SUJMG4mJiUPPTwx6OtmohbLKykruvfde\n9uzZg06nIyMjg6SkJHJycsjPzx/RNn7wgx+wb98+Dh06NGy5hDIhxMVwOp2899575BTmUGOvIW5Z\nHF5Bp59gdjo4Vn6Mps+aSAtK477v3Dc0bYkQYmyNWyg7oa+vj66uLkJDQ7n99tvp6enhgw8+GNG6\nmzZt4nvf+x49PT3Dlp8cyk53EBNJdnY2wBlHnYrJTc7v5OV0Ovnd737Hzs92UtxRTMrqFHwjvvo+\naWltASA4KNhTJY4bVVUp2lGEocnAssxl/PSnP53y98aUz+7UNZnO7bnyzKh/Cs1mM6GhobS3t7N9\n+3bWrl074nUPHjx4xpGaQghxMXQ6Hffffz8rFq9glt8sCv5aQEdth6fL8ghFUUi8KpE2tY2c/By2\nbdvm6ZKEEIzilBg7duzA7XYza9YsSktLefjhh0lJSeGee+4B4NFHH+XLL7/k448/BgZbxfR6Penp\n6Wg0GrZu3cqLL77Ib37zm7PsRQghLpxWq+Xee+9Fr9ej2amh4G8FJF+XTED09JuKR2fUkXRNEsV/\nLWbL1i2kpqYSExPj6bKEmNZGLZR1dnby6KOPUldXR0BAADfffDOPPfbY0C1BGhsbqaysHLbOY489\nRnV1NVqtlqSkJF5//XWZ1FAIMaY0Gg3r1q1Dp9Oh+UhD/t/zSbg2YfAOSdOMX5QfwanBlJSW8Oqr\nr/Lzn//8lFH0QojxM2qh7JZbbuGWW2454+uvv/76sN/XrVvHunXrRmv3QggxYoqicOedd6LX61E+\nVMj7OI+AjAD8Y6dfh/eYr8VwsPYgRyqO8O6773L33Xd7uiQhpq2p3bNTCCHOQFGUwT8m19xCWkga\ndfvqaCtr83RZ406j0zBr2SwqOiv4aNdHHD582NMlCTFtSSgTQkxbiqKwdu1a7rz5ThKsCTR81kBD\nXoOnyxp3XoFezFg4g6LWIjZu3EhXV5enSxJiWpJQJoSY9latWsWqZatI8kmi5pMa6nLrPF3SuIuc\nF4kmWENBXQGbNm2S2f6F8AAJZUIIAXzta1/j6yu/zrzQedTvr6c6p9rTJY0rRVFIviaZ+v56Ps3+\nlKysLE+XJMS0I6FMCCGOW7BgAffdex/zw+fTnNNM1edV06rFyOhtJH5xPMVtxbz19ls0Nzd7uiQh\nphUJZUIIcZJFixbx3e98l/TwdI4dPkblZ5XTKpgFJwbjHetNaUspf/zjH6fVsQvhaRLKhBDinyxc\nuJB/eeBfmB8+n878Tsr2lKG6p084ib8inhZ7C9mHs/niiy88XY4Q04aEMiGEOI2MjAwe/P6DZERm\n0F/eT8GHBbgcLk+XNS70Zj0xl8dQ2lbKO++8Q29vr6dLEmJakFAmhBBnMHfuXH7y45+wMHYh+lY9\nhzcfxt5r93RZ4yJ0ViiaIA0lDSVs3rzZ0+UIMS1IKBNCiLNISEjgkUce4fLkywlwBHDovUP0tk/9\nliNFUUhcksjRzqN8vOtjKioqPF2SEFOehDIhhDiH0NBQfvazn7Fk3hKi9dEcfv8wnfWdni5rzFkC\nLITPD6eivYI//vGPuFzT4/KtEJ4ioUwIIUbAx8eHH/3oRyy7fBnJPskUfFBAS1mLp8saczMWzKBL\n28WR0iPs3LnT0+UIMaVJKBNCiBEyGo1873vfY+11a/9fe/ceFNV5sAH8ObvcdlkEVNhdBLkIUsB4\niSIloEMaidWEZL6kJApW17RfbNRmJEYIwU2axhRsDU4TDTP9x0psY9skRpMvMWKQBFI0clUuIveL\nuKATRK4i7Pn+6MiUxhtw9Oxun98MM/ruObsP887OPJzLezDXYy4ajjegrbTNppeNUNorEbg0EHXf\n1+HwkcPo6uqSOxKRzWIpIyIaB4VCgdWrV+Pnq36O+br56CjqQH1+vU0vmTHVdyqcZzqj/lI9Pvro\nI7njENksljIionESBAHLly/Hpl9twsIZC9Ff24/qo9U2vWRGQFQALvRdQEFhAc6fPy93HCKbxFJG\nRDRB4eHh2Jq0FYv9FkPZqcTZw2dtdskMpylO8FrghYauBhw8eBBms1nuSEQ2h6WMiGgSZs+ejVdS\n/rVkhtugG8o/LsfAlQG5Y90TPgt80KPsQVV9FQoLC+WOQ2RzWMqIiCZJr9cjJSUFS+cuhY+dD8o/\nKrQvo1AAABQBSURBVMdV01W5Y0lOYaeAX6QfGroacOTIEQwN2eZRQSK5SFbKent7sWXLFvj5+UGt\nViM6OhpFRUW33aeiogIxMTFQq9Xw8fHBm2++KVUcIqL7ytXVFS+//DKW/XgZgqcEo/JIJS7XX5Y7\nluQ8Aj0gThFR116HEydOyB2HyKZIVsp+8YtfICcnB++//z4qKioQGxuLZcuW4eLFizfdvqenB7Gx\nsdDr9SguLsYf//hH/OEPf8Du3bulikREdF85Ojpi06ZNeOLRJ/DA9AdQf7weF8ovyB1LUoIgwP8h\nfzRdacLnn3+Ovr4+uSMR2QxJStng4CA+/vhj7Ny5E0uWLEFAQABef/11BAYGIisr66b7HDhwAAMD\nA9i/fz9CQkLw1FNPISUlBZmZmVJEIiKShUKhQGJiItY8swbztfNx8dRF1BfY1pIZ7j7ucNQ6ovFS\nI44ePSp3HCKbIUkpGx4exsjICBwdHceMq1QqFBQU3HSfkydPYsmSJXBwcBgdW758Odrb29Hc3CxF\nLCIiWQiCgBUrVuCF51/AwhkLMXB+wObuzPR/yB/N3c3IOZ6D77//Xu44RDZBklKm0WgQGRmJHTt2\noL29HWazGQcOHEBhYeEtT1+aTCZotdoxY1qtFqIowmQySRGLiEhWERERSH45GZGzIuHa54rSf5Ta\nzA0AGg8N3ALc0NzVjE8//VTuOEQ2wU6qNzpw4ACee+45eHt7w87ODg8++CASEhJQXFws1UcAwB1v\nHrAU1pKTJobza7vuxdw+/vjjGPp4CNcbrqPoYBH04XpMmz0NgiBI/ln3kyZIg/OV53Ho8CHMmDED\nbm5ucke6I353bZc1zG1QUNBtX5fsQn9/f3+cOHECfX19aG1txcmTJzE0NISAgICbbq/T6dDR0TFm\nrKOjA4IgQKfTSRWLiEh2Go0GiYmJeOShRzBbMxuXTl9Cy7ctMA9b9wKsji6OcPFzwaXBS/juu+/k\njkNk9SQ7UnaDSqWCSqVCV1cXvvzyS+zateum20VGRuKVV17B0NDQ6HVlx44dg5eXF3x9fW/5/osW\nLZI6sqRuNHVLz0kTw/m1XfdjbiMiInDq1Cn8OfvPqDZV48LXFxC6IhROU5zu2Wfea+qlapz9x1m0\nXWhDcHAwXFxc5I50U/zu2i5rmtvu7u7bvi7ZkbJjx47h6NGjaGpqQk5ODn7yk58gNDQUBoMBAJCa\nmoply5aNbp+QkAC1Wg2DwYDKysrRuze3bt0qVSQiIosTERGBtNQ0RIdEQ2fWoewfZfi+2XovlHee\n5gwXHxe0dbVx3TKiSZKslHV3d2Pz5s0ICQmBwWDA0qVLcfToUSiVSgD/urC/sbFxdPspU6YgJycH\n7e3tCA8Px69//Wts27YNW7ZskSoSEZFF8vb2xquvvoqfRv0UoW6hqD1ai+bTzRBF61w2w3uBN9qu\ntiE3NxeDg4NyxyGyWpKdvoyPj0d8fPwtX9+3b98PxsLCwpCXlydVBCIiq6FWq7Fx40b4f+GPDw99\niKozVejp6MGPYn8EO0fJryy5p1y9XGE/3R4tl1uQn5+P2NhYuSMRWSU++5KISCaCIGDlypXYumUr\nfuz3Y6i6VCj5ewl6L/fKHW3cfB70QdvVNuTl5VntET8iubGUERHJLCwsDNu3b0fM3Bj4O/jj7Mdn\n0VnTKXescZnqOxVDDkNobm9GbW2t3HGIrBJLGRGRBZg+fTpSUlLwZOyTmOsxF815zaj7pg7mEetY\nNkNQCNAGa2HqM+Hbb7+VOw6RVWIpIyKyEPb29li7di2eNzyPRd6LcK3+Gs58cgbXeq/JHe2uaEO0\n6OztRFFRES/4J5oAljIiIgsiCAKWLl2K1JRURAVFYdrgNJT+rRSdtZZ/OlPlqoKzzhmmqyacPn1a\n7jhEVoeljIjIAvn7+2P79u14bMljmOM+By0nWlD9ZTWuD16XO9ptaUO06OjtQGFhodxRiKwOSxkR\nkYVycXHBxo0b8avnfoVIv0g4dDqg5G8l6GrtkjvaLU2fNR3d17tRW1eLvr4+ueMQWRWWMiIiCyYI\nApYsWYLXX3sdsQtjEewcjPOfn0fdN3UYuT4id7wfUNorodFq0DXYherqarnjEFkVljIiIivg4eGB\nbdu2wbDKgPAZ4RhuGEbp30vR09Ejd7QfcPdxx5WBK6iqqpI7CpFVYSkjIrISCoUCK1asgDHNiIcf\neBi+dr6o/KQSTSebLGrpDPeZ7uga7EJVVRUXkiUaB5YyIiIrM3PmTKSlpWH1k6uxUL8Q/dX9KPlb\nicUcNXOe7oxhu2GYLpnQ2Wn5d40SWQqWMiIiK2Rvb4/4+HikvZKGh+c8DF+lLyoPVaLumzoMXxuW\nNZsgCNB4aNB3vQ8dHR2yZiGyJixlRERWbNasWTA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8E36Hw12HefqZp2luaOamm25iy5YtNDY2LnTxlzwJZeK8kskkQ0NDjI6OoGlW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uuUbPPvusHnvsMaOjoIkqKio0ZMgQLV26VPPnz6//By/aFn+jAwDwLqdPn5bT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\nsi1yAAAAAElFTkSuQmCC\n", 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REYMeEUUYEeLiHTYA/oFIHKt2GTHotU56IuCJwOc3PhhFEZHhdTrovfnmm6ipqenOWoiI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\nCmYdRETdSpu6hf/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ri9dfXxd6/fPy8jo8HxJB75FHHsHdd9/d4ZhevXq1eTw/Px9msxkH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\n0COiiFFVVYVz586hvr4eW7duxTPPPIO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ILiJ1W+kKoLXUnqkGlpzzBmuWL4DDYcNV5CY6Mpg/9hw2B91uJm9byhV7fywJ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\nRER2hg0gERERkZ1hA0hERERkZ9gAEhEREdkZNoBEREREdoY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CrpMnoQCI1NZCi0Zhm52FqaoSyOZV1DS/H66BAbm/sRFKNCoBDkCovR16eXk+fgwiOoei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\nTZ48GefOnRuy3traCkmSEB4ebl/TaDRYuXIldu/ejba2Njz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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2078,7 +2081,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python [default]", + "display_name": "Python 3", "language": "python", "name": "python3" }, @@ -2092,7 +2095,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.5.1" + "version": "3.5.2" } }, "nbformat": 4, diff --git a/06-Multivariate-Kalman-Filters.ipynb b/06-Multivariate-Kalman-Filters.ipynb index 7dd7d52..a2d3b22 100644 --- a/06-Multivariate-Kalman-Filters.ipynb +++ b/06-Multivariate-Kalman-Filters.ipynb @@ -336,7 +336,7 @@ "\n", "We can incorporate constant acceleration with this equation\n", "\n", - "$$x = \\frac{1}{2}at^2 + v_0 t + x_0$$\n", + "$$x = \\frac{1}{2}at^2 + v_0t + x_0$$\n", "\n", "And if we assume constant jerk we get\n", "\n", @@ -351,7 +351,7 @@ "x &= vt + x_0\\end{aligned}$$\n", "\n", "\n", - "When you design a Kalman filter you start with a system of differential equations that describe the dynamics of the system. Most systems of differential equations do not easily integrate in this way. We start with Newton's equation because we can integrate and get a closed form solution, which makes the Kalman filter easier to design. An added benefit is that Newton's equations are the right equations to use to track objects, one of the main uses of Kalman filters." + "When you design a Kalman filter you start with a system of differential equations that describe the dynamics of the system. Most systems of differential equations do not easily integrate in this way. We start with Newton's equation because we can integrate and get a closed form solution, which makes the Kalman filter easier to design. An added benefit is that Newton's equations are the right equations to use to track moving objects, one of the main uses of Kalman filters." ] }, { @@ -396,7 +396,7 @@ "data": { "image/png": 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CoVCI0NBQrf4KhUL06NFDFBYWatrV12BhYSF++uknTXtBQYFo2bKl6NOnj6atsLBQ6z6r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\nQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -420,10 +420,11 @@ "\n", "$\\begin{array}{|l|l|}\n", "\\hline\n", - "\\text{Univariate} & \\text{Multivariate}\\\\\n", + "\\text{Univariate} & \\text{Univariate} & \\text{Multivariate}\\\\\n", + "& \\text{(Kalman form)} & \\\\\n", "\\hline\n", - "\\bar x = x + f_x & \\bar{\\mathbf x} = \\mathbf{Fx} + \\mathbf{Bu}\\\\\n", - "\\bar\\sigma^2 = \\sigma^2 + \\sigma_{f_x}^2 & \\bar{\\mathbf P} = \\mathbf{FPF}^\\mathsf T + \\mathbf Q \\\\\n", + "\\bar \\mu = \\mu + \\mu_{f_x} & \\bar x = x + dx & \\bar{\\mathbf x} = \\mathbf{Fx} + \\mathbf{Bu}\\\\\n", + "\\bar\\sigma^2 = \\sigma_x^2 + \\sigma_{f_x}^2 & \\bar P = P + Q & \\bar{\\mathbf P} = \\mathbf{FPF}^\\mathsf T + \\mathbf Q \\\\\n", "\\hline\n", "\\end{array}$\n", "\n", @@ -431,7 +432,9 @@ "\n", "$\\mathbf x,\\, \\mathbf P$ are the state mean and covariance. They correspond to $x$ and $\\sigma^2$.\n", "\n", - "$\\mathbf F,\\, \\mathbf Q$ are the process mean and covariance. They correspond to $f_x$ and $\\sigma^2_{f_x}$.\n", + "$\\mathbf F$ is the *state transition function*. When multiplied by $\\bf x$ it computes the prior. \n", + "\n", + "$\\mathbf Q$ is the process covariance. It corresponds to $\\sigma^2_{f_x}$.\n", "\n", "$\\mathbf B$ and $\\mathbf u$ are new to us. They let us model control inputs to the system.\n", "\n", @@ -439,13 +442,14 @@ "\n", "$\\begin{array}{|l|l|}\n", "\\hline\n", - "\\text{Univariate} & \\text{Multivariate}\\\\\n", + "\\text{Univariate} & \\text{Univariate} & \\text{Multivariate}\\\\\n", + "& \\text{(Kalman form)} & \\\\\n", "\\hline\n", - "y = z - \\bar x & \\mathbf y = \\mathbf z - \\mathbf{H\\bar x} \\\\\n", - "K = \\frac {\\bar\\sigma^2} {\\bar\\sigma^2 + \\sigma_z^2} &\n", + "& y = z - \\bar x & \\mathbf y = \\mathbf z - \\mathbf{H\\bar x} \\\\\n", + "& K = \\frac{\\bar P}{\\bar P+R}&\n", "\\mathbf K = \\mathbf{\\bar{P}H}^\\mathsf T (\\mathbf{H\\bar{P}H}^\\mathsf T + \\mathbf R)^{-1} \\\\\n", - "x = \\bar x + Ky & \\mathbf x = \\bar{\\mathbf x} + \\mathbf{Ky}\\\\\n", - "\\sigma^2 = \\frac {\\bar\\sigma^2 \\sigma_z^2} {\\bar\\sigma^2 + \\sigma_z^2} &\n", + "\\mu=\\frac{\\bar\\sigma^2\\, \\mu_z + \\sigma_z^2 \\, \\bar\\mu} {\\bar\\sigma^2 + \\sigma_z^2} & x = \\bar x + Ky & \\mathbf x = \\bar{\\mathbf x} + \\mathbf{Ky} \\\\\n", + "\\sigma^2 = \\frac{\\sigma_1^2\\sigma_2^2}{\\sigma_1^2+\\sigma_2^2} & P = (1-K)\\bar P &\n", "\\mathbf P = (\\mathbf I - \\mathbf{KH})\\mathbf{\\bar{P}} \\\\\n", "\\hline\n", "\\end{array}$\n", @@ -466,7 +470,7 @@ "
  • Form an estimate part way between the measurement and the prior\n", "\n", "\n", - "Your job as a designer will be to design the state $\\left(\\mathbf x, \\mathbf P\\right)$, the process $\\left(\\mathbf F, \\mathbf Q\\right)$, the measurement $\\left(\\mathbf z, \\mathbf R\\right)$, and the unexplained measurement function $\\mathbf H$. If the system has control inputs, such as a robot, you will also design $\\mathbf B$ and $\\mathbf u$." + "Your job as a designer will be to design the state $\\left(\\mathbf x, \\mathbf P\\right)$, the process $\\left(\\mathbf F, \\mathbf Q\\right)$, the measurement $\\left(\\mathbf z, \\mathbf R\\right)$, and the measurement function $\\mathbf H$. If the system has control inputs, such as a robot, you will also design $\\mathbf B$ and $\\mathbf u$." ] }, { @@ -493,6 +497,7 @@ "from numpy.random import randn\n", "\n", "def compute_dog_data(z_var, process_var, count=1, dt=1.):\n", + " \"returns track, measurements 1D ndarrays\"\n", " x, vel = 0., 1.\n", " z_std = math.sqrt(z_var) \n", " p_std = math.sqrt(process_var)\n", @@ -502,7 +507,7 @@ " x += v*dt \n", " xs.append(x)\n", " zs.append(x + randn() * z_std) \n", - " return np.array([xs, zs]).T" + " return np.array(xs), np.array(zs)" ] }, { @@ -533,17 +538,17 @@ "\n", "We previously tracked a dog in one dimension by using a Gaussian. The mean $(\\mu)$ represented the most likely position, and the variance ($\\sigma^2$) represented the probability distribution of the position. The position is the *state* of the system, and we call $\\mu$ the *state variable*. \n", "\n", - "In this problem we will be tracking both the position and velocity of the dog. This requires us to use a multivariate Gaussian: $\\mathbf x$ and $\\mathbf P$.\n", + "In this problem we will be tracking both the position and velocity of the dog. This requires us to use a multivariate Gaussian represented with the state vector $\\mathbf x$ and its corresponding covariance matrix $\\mathbf P$. \n", "\n", - "It is important to understand that this is a design choice with implications and assumptions that we are not yet prepared to explore. For example, we could also track acceleration, or even jerk.\n", + "State variables can either be *observed variables* - directly measured by a sensor, or *hidden variables* - inferred from the observed variables. For our dog tracking problem the sensor only reads position, so position is observed and velocity is hidden. We will learn how to track hidden variables soon.\n", "\n", - "State variables can either be *observed variables* - directly measured by a sensor, or *hidden variables* - inferred from the observed variables. For our dog tracking problem the sensor reads position, so position is observed and velocity is hidden. \n", + "It is important to understand that tracking position and velocity is a design choice with implications and assumptions that we are not yet prepared to explore. For example, we could also track acceleration, or even jerk. For now, recall that in the last chapter we showed that including velocity in the covariance matrix resulted in much smaller variances in position. We will learn how the Kalman filter computes estimates for hidden variables later in this chapter. \n", "\n", - "In the univariate chapter we represented the dog's position with a scalar value (e.g. $\\mu=3.27$). In the last chapter we learned to use a multivariate Gaussian. For example, if we wanted to specify a position of 10.0 m and a velocity of 4.5 m/s, we would write:\n", + "In the univariate chapter we represented the dog's position with a scalar value (e.g. $\\mu=3.27$). In the last chapter we learned to use a multivariate Gaussian for multiple variables. For example, if we wanted to specify a position of 10.0 m and a velocity of 4.5 m/s, we would write:\n", "\n", "$$\\mu = \\begin{bmatrix}10.0\\\\4.5\\end{bmatrix}$$\n", "\n", - "The Kalman filter is implemented using linear algebra. We use an $n\\times 1$ matrix (called a *vector*) to store $n$ state variables. For the dog tracking problem, we use $x$ to denote position, and the first derivative of $x$, $\\dot x$, for velocity. Kalman filter equations use $\\mathbf x$ for the state, so we define $\\mathbf x$ as:\n", + "The Kalman filter is implemented using linear algebra. We use an $n\\times 1$ matrix (called a *vector*) to store $n$ state variables. For the dog tracking problem, we use $x$ to denote position, and the first derivative of $x$, $\\dot x$, for velocity. I use Newton's dot notation for derivatives; $\\dot x$ represents the first derivative of x with respect to t: $\\dot x = \\frac{dx}{dt}$. Kalman filter equations use $\\mathbf x$ for the state, so we define $\\mathbf x$ as:\n", "\n", "$$\\mathbf x =\\begin{bmatrix}x \\\\ \\dot x\\end{bmatrix}$$\n", "\n", @@ -585,7 +590,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "I often use the transpose in my code to turn a row matrix into a vector, as I find it easier to type and read:" + "I often use the transpose in my code to turn a row matrix into a column vector, as I find it easier to type and read:" ] }, { @@ -608,7 +613,7 @@ } ], "source": [ - "x = np.array([[10.0, 4.5]]).T\n", + "x = np.array([[10., 4.5]]).T\n", "x" ] }, @@ -646,7 +651,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Here are some examples." + "All of the array elements have the same type, typically either `float` or `int`. If the list contains all `int`s then the created array will also have a data type of `int`, otherwise it will be `float`. I will often take advantage of this by only specifying one number as a floating point:" ] }, { @@ -655,6 +660,36 @@ "metadata": { "collapsed": false }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 1.0, 0.0, 0.0, 0.0, 0.0, 0.0])" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.array([1., 0, 0, 0, 0, 0])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here are some examples." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false, + "scrolled": true + }, "outputs": [ { "name": "stdout", @@ -662,8 +697,10 @@ "text": [ "[[ 19.0]\n", " [ 48.0]]\n", + "\n", "[[ 19.0]\n", " [ 48.0]]\n", + "\n", "[ 19.0 48.0]\n" ] } @@ -671,11 +708,14 @@ "source": [ "A = np.array([[1, 2], [3, 4]])\n", "x = np.array([[10.0], [4.5]])\n", + "\n", + "# matrix multiply\n", "print(np.dot(A, x))\n", + "print()\n", "\n", "x = np.array([[10.0, 4.5]]).T\n", "print(np.dot(A, x))\n", - "\n", + "print()\n", "\n", "x = np.array([10.0, 4.5])\n", "print(np.dot(A, x))" @@ -696,7 +736,7 @@ "\n", "The other half of the state Gaussian is the covariance matrix $\\mathbf P$. In the univariate Kalman filter we specified an initial value for $\\sigma^2$, and then the filter took care of updating its value as measurements were added to the filter. The same thing happens in the multidimensional Kalman filter. We specify an initial value for $\\mathbf P$ and the filter updates it during each epoch.\n", "\n", - "We need to set the variances to reasonable values. For example, we may choose $\\sigma_\\mathtt{pos}^2=500 m^2$ if we are quite uncertain about the initial position. Top speed for a dog is around 21 m/s, so in the absence of any other information about the velocity we can set $3\\sigma_\\mathtt{vel}=21$, or $\\sigma_\\mathtt{vel}^2=49$. \n", + "We need to set the variances to reasonable values. For example, we may choose $\\sigma_\\mathtt{pos}^2=500 m^2$ if we are quite uncertain about the initial position. Top speed for a dog is around 21 m/s, so in the absence of any other information about the velocity we can set $3\\sigma_\\mathtt{vel}=21$, or $\\sigma_\\mathtt{vel}^2=7^2=49$. \n", "\n", "In the last chapter we showed that the position and velocities are correlated. But how correlated are they for a dog? I have no idea. As we will see the filter computes this for us, so I initialize the covariances to zero. Of course, if you know the covariances you should use them.\n", "\n", @@ -711,7 +751,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 9, "metadata": { "collapsed": false }, @@ -723,7 +763,7 @@ " [ 0, 49]])" ] }, - "execution_count": 8, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" } @@ -743,7 +783,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 10, "metadata": { "collapsed": false }, @@ -755,7 +795,7 @@ " [ 0., 49.]])" ] }, - "execution_count": 9, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" } @@ -796,7 +836,7 @@ "\n", "$$ \\mathbf x = \\begin{bmatrix}5.4\\\\4.2\\end{bmatrix}, \\, \\, \n", "\\dot{\\mathbf x} = \\begin{bmatrix}1.1\\\\0.\\end{bmatrix} \\\\\n", - "\\mathbf x = \\mathbf x + \\dot{\\mathbf x}t$$\n", + "\\mathbf x = \\dot{\\mathbf x}t + \\mathbf x$$\n", "\n", "But we need to generalize this. The Kalman filter equations work with any linear system, not just Newtonian ones. Maybe the system you are filtering is the plumbing system in a chemical plant, and the flow in a given pipe is determined by a linear combination of the settings of different valves. \n", "\n", @@ -806,17 +846,51 @@ "Linear algebra has a powerful way to express systems of equations. Take this system\n", "\n", "$$\\begin{cases}\n", - "2x+3y=8\\\\3x-y=1\n", + "2x+3y=8\\\\4x-y=2\n", "\\end{cases}$$\n", "\n", "We can put this in matrix form by writing:\n", "\n", - "$$\\begin{bmatrix}2& 3 \\\\ 3&-1\\end{bmatrix} \\begin{bmatrix}x\\\\y\\end{bmatrix} = \\begin{bmatrix}8\\\\1\\end{bmatrix}$$\n", + "$$\\begin{bmatrix}2& 3 \\\\ 4&-1\\end{bmatrix} \\begin{bmatrix}x\\\\y\\end{bmatrix} = \\begin{bmatrix}8\\\\2\\end{bmatrix}$$\n", "\n", "If you perform the [matrix multiplication](https://en.wikipedia.org/wiki/Matrix_multiplication#General_definition_of_the_matrix_product) in this equation the result will be the two equations above. In linear algebra we would write this as $\\mathbf{Ax}=\\mathbf B$, where\n", "\n", - "$$\\mathbf{A} = \\begin{bmatrix}2& 3 \\\\ 3&-1\\end{bmatrix},\\, \\mathbf x = \\begin{bmatrix}x\\\\y\\end{bmatrix}, \\mathbf B=\\begin{bmatrix}8\\\\1\\end{bmatrix}$$\n", + "$$\\mathbf{A} = \\begin{bmatrix}2& 3 \\\\ 4&-1\\end{bmatrix},\\, \\mathbf x = \\begin{bmatrix}x\\\\y\\end{bmatrix}, \\mathbf B=\\begin{bmatrix}8\\\\2\\end{bmatrix}$$\n", "\n", + "And then we can use the SciPy's `linalg` package to solve for $\\mathbf x$:" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1.],\n", + " [ 2.]])" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from scipy.linalg import solve\n", + "A = np.array([[2, 3],[4, -1]])\n", + "b = np.array([[8], [2]])\n", + "x = solve(A, b)\n", + "x" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ "We use the process model to perform the *innovation*, because the equations tell us what the next state will be given the current state. Kalman filters implement this using this linear equation, where $\\mathbf{\\bar x}$ is the *prior*, or predicted state:\n", "\n", "$$\\mathbf{\\bar x} = \\mathbf{Fx}$$\n", @@ -838,7 +912,7 @@ "\\end{aligned}\n", "\\end{cases}$$\n", "\n", - "We need to express this set of equations in the form $\\bar{\\mathbf x} = \\mathbf{Fx}$. Rearranging terms makes it easier to see what to do.\n", + "This correctly has one equation for each variable in the state, isolated on the left hand side. We need to express this set of equations in the form $\\bar{\\mathbf x} = \\mathbf{Fx}$. Rearranging terms makes it easier to see what to do.\n", "\n", "$$\\begin{cases}\n", "\\begin{aligned}\n", @@ -859,7 +933,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 12, "metadata": { "collapsed": false }, @@ -871,7 +945,7 @@ " [ 0. , 1. ]])" ] }, - "execution_count": 10, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -892,20 +966,17 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { - "data": { - "text/plain": [ - "array([ 10.45, 4.5 ])" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" + "name": "stdout", + "output_type": "stream", + "text": [ + "x = [ 10.45 4.5 ]\n" + ] } ], "source": [ @@ -913,12 +984,11 @@ "\n", "x = np.array([10.0, 4.5])\n", "P = np.diag([500, 49])\n", + "F = np.array([[1, dt], [0, 1]])\n", "\n", - "# Q is amount of noise in the process,\n", - "# we will learn about it later\n", - "Q = 0\n", - "x, P = predict(x, P, F, Q)\n", - "x" + "# Q is the process noise\n", + "x, P = predict(x=x, P=P, F=F, Q=0)\n", + "print('x =', x)" ] }, { @@ -930,7 +1000,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 14, "metadata": { "collapsed": false, "scrolled": true @@ -949,7 +1019,7 @@ ], "source": [ "for _ in range(4):\n", - " x, P = predict(x, P, F, Q)\n", + " x, P = predict(x=x, P=P, F=F, Q=0)\n", " print('x =', x)" ] }, @@ -962,25 +1032,22 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { - "data": { - "text/plain": [ - "array([[ 512.25, 24.5 ],\n", - " [ 24.5 , 49. ]])" - ] - }, - "execution_count": 13, - "metadata": {}, - "output_type": "execute_result" + "name": "stdout", + "output_type": "stream", + "text": [ + "[[ 512.25 24.5 ]\n", + " [ 24.5 49. ]]\n" + ] } ], "source": [ - "P" + "print(P)" ] }, { @@ -994,7 +1061,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 16, "metadata": { "collapsed": false, "scrolled": false @@ -1004,7 +1071,7 @@ "data": { "image/png": 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QskuZMrBhg/H3HBVlbNT+999Wv82HH35IcHAwUVFR9OjRQ93YIllk89+Mly5dIiUlhUI3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\nUpLRGhYVhSkqykjQUlvNUh+ursa4uDx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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1019,7 +1086,7 @@ "x = np.array([10.0, 4.5])\n", "P = np.diag([500, 500])\n", "plot_covariance_ellipse(x, P, edgecolor='r')\n", - "x, P = predict(x, P, F, Q)\n", + "x, P = predict(x, P, F, Q=0)\n", "plot_covariance_ellipse(x, P, edgecolor='k', ls='dashed')" ] }, @@ -1027,7 +1094,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "You can see that the center of the ellipse shifted by a small amount (from 10 to 10.90) because the position changed. The ellipse also elongated, showing the correlation between position and velocity. How does the filter compute new values for $\\mathbf{\\bar P}$, and what is it based on? It's a little to early to discuss this, but recall that in every filter so far the predict step entailed a loss of information. The same is true here. I will give you the details once we have covered a bit more ground." + "You can see that the center of the ellipse shifted by a small amount (from 10 to 10.90) because the position changed. The ellipse also elongated, showing the correlation between position and velocity. How does the filter compute new values for $\\mathbf{\\bar P}$, and what is it based on? Note that I set the process noise `Q` to zero each time, so it is not due to me adding noise. It's a little to early to discuss this, but recall that in every filter so far the predict step entailed a loss of information. The same is true here. I will give you the details once we have covered a bit more ground." ] }, { @@ -1042,9 +1109,9 @@ "\n", "$$\\dot{\\mathbf x} = f(\\mathbf x) + w$$\n", "\n", - "where $f(\\mathbf x)$ models the state transition and $w$ is white process noise.\n", + "where $f(\\mathbf x)$ models the state transition and $w$ is *white process noise*.\n", "\n", - "We will learn how to go from a differential equation to the Kalman filter matrices in the **Kalman Filter Math** chapter. For now you just need to know that the to account for the noise in the system the filter adds a process noise covariance matrix $\\mathbf Q$ to the covariance $\\mathbf P$. We do not add anything to $\\mathbf x$ because the noise is *white* - which means that the mean of the noise will be 0. If the mean is 0, $\\mathbf x$ will not change.\n", + "We will learn how to go from a set of differential equations to the Kalman filter matrices in the **Kalman Filter Math** chapter. In this chapter we take advantage of the fact that Newton already derived the equations of motion for us. For now you just need to know that we account for the noise in the system by adding a process noise covariance matrix $\\mathbf Q$ to the covariance $\\mathbf P$. We do not add anything to $\\mathbf x$ because the noise is *white* - which means that the mean of the noise will be 0. If the mean is 0, $\\mathbf x$ will not change.\n", "\n", "The univariate Kalman filter used `variance = variance + process_noise` to compute the variance for the variance of the prediction step. The multivariate Kalman filter does the same, essentially `P = P + Q`. I say 'essentially' because there are other terms unrelated to noise in the covariance equation that we will see later.\n", "\n", @@ -1055,28 +1122,25 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 17, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { - "data": { - "text/plain": [ - "array([[ 0.588, 1.175],\n", - " [ 1.175, 2.35 ]])" - ] - }, - "execution_count": 15, - "metadata": {}, - "output_type": "execute_result" + "name": "stdout", + "output_type": "stream", + "text": [ + "[[ 0.588 1.175]\n", + " [ 1.175 2.35 ]]\n" + ] } ], "source": [ "from filterpy.common import Q_discrete_white_noise\n", "Q = Q_discrete_white_noise(dim=2, dt=1., var=2.35)\n", - "Q" + "print(Q)" ] }, { @@ -1085,14 +1149,13 @@ "source": [ "### Design the Control Function\n", "\n", - "The Kalman filter does not just filter data, it allows us to incorporate control inputs for systems like robots and airplanes. Suppose we are controlling a robot. At each time step we would send control signals to the robot based on its current position vs desired position. Kalman filter equations incorporate that knowledge into the filter equations, creating a predicted position based both on current velocity and control inputs to the drive motors. Remember, we *never* throw information away.\n", + "The Kalman filter does not just filter data, it allows us to incorporate the control inputs of systems like robots and airplanes. Suppose we are controlling a robot. At each time step we would send steering and velocity signals to the robot based on its current position vs desired position. Kalman filter equations incorporate that knowledge into the filter equations, creating a predicted position based both on current velocity and control inputs to the drive motors. Remember, we *never* throw information away.\n", "\n", "For a linear system the effect of control inputs can be described as a set of linear equations, which we can express with linear algebra as\n", "\n", - "$$\\mathbf{Bu}$$\n", - "\n", - "Here $\\mathbf u$ is the *control input*, and $\\mathbf B$ is the *control input model* or *control function*. For example, $\\mathbf u$ might be a voltage controlling how fast the wheel's motor turns, and multiplying by $\\mathbf B$ yields $[\\begin{smallmatrix}x\\\\\\dot x\\end{smallmatrix}]$.\n", + "$$\\Delta\\mathbf x = \\mathbf{Bu}$$\n", "\n", + "Here $\\mathbf u$ is the *control input*, and $\\mathbf B$ is the *control input model* or *control function*. For example, $\\mathbf u$ might be a voltage controlling how fast the wheel's motor turns, and multiplying by $\\mathbf B$ yields $\\Delta[\\begin{smallmatrix}x\\\\\\dot x\\end{smallmatrix}]$. In other words, it must compute how much $\\mathbf x$ changes due to the control input.\n", "\n", "Therefore the complete Kalman filter equation for the prior mean is\n", "\n", @@ -1105,27 +1168,27 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { - "data": { - "text/plain": [ - "(array([ 12.7, 4.5]), array([[ 680.587, 301.175],\n", - " [ 301.175, 502.35 ]]))" - ] - }, - "execution_count": 16, - "metadata": {}, - "output_type": "execute_result" + "name": "stdout", + "output_type": "stream", + "text": [ + "x = [ 12.7 4.5]\n", + "P = [[ 680.587 301.175]\n", + " [ 301.175 502.35 ]]\n" + ] } ], "source": [ "B = 0. # my dog doesn't listen to me!\n", "u = 0\n", - "predict(x, P, F, Q, B, u)" + "x, P = predict(x, P, F, Q, B, u)\n", + "print('x =', x)\n", + "print('P =', P)" ] }, { @@ -1212,9 +1275,10 @@ "\n", "We will want to multiply the position $x$ by 1 to get the corresponding measurement of the position. We do not need to use velocity to find the corresponding measurement so we multiply $\\dot x$ by 0.\n", "\n", - "$$\n", - "\\textbf{y} = \\mathbf z - \\begin{bmatrix}1&0\\end{bmatrix} \\begin{bmatrix}x \\\\ \\dot x\\end{bmatrix}\n", - "$$\n", + "$$\\begin{aligned}\n", + "\\textbf{y} &= \\mathbf z - \\begin{bmatrix}1&0\\end{bmatrix} \\begin{bmatrix}x \\\\ \\dot x\\end{bmatrix} \\\\\n", + "&= [z] - [x]\n", + "\\end{aligned}$$\n", "\n", "And so, for our Kalman filter we set\n", "\n", @@ -1223,7 +1287,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 19, "metadata": { "collapsed": true }, @@ -1275,7 +1339,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 20, "metadata": { "collapsed": true }, @@ -1293,34 +1357,31 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { - "data": { - "text/plain": [ - "array([ 1.094, 1.677])" - ] - }, - "execution_count": 19, - "metadata": {}, - "output_type": "execute_result" + "name": "stdout", + "output_type": "stream", + "text": [ + "x = [ 1.085 -0.64 ]\n" + ] } ], "source": [ "from filterpy.kalman import update\n", "z = 1.\n", "x, P = update(x, P, z, R, H)\n", - "x" + "print('x =', x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Keeping track of all of these variables is burdomsome, so FilterPy also implements the KalmanFilter in the class `KalmanFilter`. I will use the class in the rest of this book, but I wanted you to see the procedural form of these functions since I know some of you are not fans of objects." + "Keeping track of all of these variables is burdomsome, so FilterPy also implements the filter with the class `KalmanFilter`. I will use the class in the rest of this book, but I wanted you to see the procedural form of these functions since I know some of you are not fans of object oriented programming." ] }, { @@ -1329,19 +1390,54 @@ "source": [ "## Implementing the Kalman Filter\n", "\n", - "I've given you all of the code for the filter, but now let's collect it in one place. First we construct an `KalmanFilter` object. We have to specify the number of variables in the state with the `dim_x` parameter, and the number of measurements with `dim_z`. We have two random variables in the state and one measurement, so we might write:\n", + "I've given you all of the code for the filter, but now let's collect it in one place. First we construct an `KalmanFilter` object. We have to specify the number of variables in the state with the `dim_x` parameter, and the number of measurements with `dim_z`. We have two random variables in the state and one measurement, so we write:\n", "\n", "```python\n", "from filterpy.kalman import KalmanFilter\n", "dog_filter = KalmanFilter(dim_x=2, dim_z=1)\n", "```\n", "\n", - "Now we initialize the filter's matrices and vectors. I've put this in a function to allow you to specify different initial values for `R`, `P`, and `Q` and put it in a helper function. We will be creating and running many of these filters, and this saves us a lot of headaches." + "This creates an obect with default values for all the Kalman filter matrices:" ] }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 22, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "x = [[ 0. 0.]]\n", + "R = [[ 1.]]\n", + "Q = \n", + " [[ 1. 0.]\n", + " [ 0. 1.]]\n" + ] + } + ], + "source": [ + "from filterpy.kalman import KalmanFilter\n", + "dog_filter = KalmanFilter(dim_x=2, dim_z=1)\n", + "print('x = ', dog_filter.x.T)\n", + "print('R = ', dog_filter.R)\n", + "print('Q = \\n', dog_filter.Q)\n", + "# etc..." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now we initialize the filter's matrices and vectors with values valid for our problem. I've put this in a function to allow you to specify different initial values for `R`, `P`, and `Q` and put it in a helper function. We will be creating and running many of these filters, and this saves us a lot of headaches." + ] + }, + { + "cell_type": "code", + "execution_count": 23, "metadata": { "collapsed": true }, @@ -1357,18 +1453,18 @@ " \n", " kf = KalmanFilter(dim_x=2, dim_z=1)\n", " kf.x = np.array([x[0], x[1]]) # location and velocity\n", - " kf.F = np.array([[1, dt],\n", - " [0, 1]]) # state transition matrix\n", - " kf.H = np.array([[1, 0]]) # Measurement function\n", - " kf.R *= R # measurement uncertainty\n", + " kf.F = np.array([[1., dt],\n", + " [0., 1.]]) # state transition matrix\n", + " kf.H = np.array([[1., 0]]) # Measurement function\n", + " kf.R *= R # measurement uncertainty\n", " if np.isscalar(P):\n", " kf.P *= P # covariance matrix \n", " else:\n", - " kf.P[:] = P\n", + " kf.P[:] = P # [:] makes deep copy\n", " if np.isscalar(Q):\n", " kf.Q = Q_discrete_white_noise(dim=2, dt=dt, var=Q)\n", " else:\n", - " kf.Q = Q\n", + " kf.Q[:] = Q\n", " return kf" ] }, @@ -1381,9 +1477,9 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 24, "metadata": { - "collapsed": false + "collapsed": true }, "outputs": [], "source": [ @@ -1401,7 +1497,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 25, "metadata": { "collapsed": false }, @@ -1409,25 +1505,24 @@ "source": [ "from code.mkf_internal import plot_track\n", "\n", - "def run(x0=(0.,0.), P=500, R=0, Q=0, dt=1.0, data=None,\n", + "def run(x0=(0.,0.), P=500, R=0, Q=0, dt=1.0, \n", + " track=None, zs=None,\n", " count=0, do_plot=True, **kwargs):\n", " \"\"\"\n", - " `data` is a 2D numpy array; the first column contains\n", - " the actual position, the second contains the measurements\n", + " track is the actual position of the dog, zs are the \n", + " corresponding measurements. \n", " \"\"\"\n", "\n", - " # Simulate dog if no data provided. This is handy because\n", - " # it ensures that the noise in the dog simulation and the\n", - " # kalman filter are the same. \n", - " if data is None:\n", - " data = compute_dog_data(R, Q, count)\n", + " # Simulate dog if no data provided. \n", + " if zs is None:\n", + " track, zs = compute_dog_data(R, Q, count)\n", "\n", " # create the Kalman filter\n", " kf = pos_vel_filter(x0, R=R, P=P, Q=Q, dt=dt) \n", "\n", " # run the kalman filter and store the results\n", " xs, cov = [], []\n", - " for z in data[:, 1]:\n", + " for z in zs:\n", " kf.predict()\n", " kf.update(z)\n", " xs.append(kf.x)\n", @@ -1435,7 +1530,7 @@ "\n", " xs, cov = np.array(xs), np.array(cov)\n", " if do_plot:\n", - " plot_track(xs[:, 0], data[:, 0], data[:, 1], cov, \n", + " plot_track(xs[:, 0], track, zs, cov, \n", " dt=dt, **kwargs)\n", " return xs, cov" ] @@ -1460,7 +1555,7 @@ "Absent the work of storing the results, the loop reads:\n", "\n", "```python\n", - " for z in data[:, 1]:\n", + " for z in zs:\n", " kf.predict()\n", " kf.update(z)\n", "```\n", @@ -1476,7 +1571,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 26, "metadata": { "collapsed": false, "scrolled": false @@ -1486,7 +1581,7 @@ "data": { "image/png": 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MbBJWUaydiHXKlCli9+7dRQ8PD9HHx0fs27ev+Le//a1FU1O89dZbokKhEJVKZYOTlt6V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\nhMFgMPv58MMPTecsW7YMeXl5qKiowP7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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1517,7 +1612,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 27, "metadata": { "collapsed": false, "scrolled": false @@ -1527,7 +1622,7 @@ "data": { "image/png": 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w/yZqvJHpHL/Rikrm3Hw+b19oo5DGc6NRQiislCE9h/OBMNJddBfnKHHgwAE8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\nhcU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l5GnleTSIyhqb9nr8U6XCcDWEU0oOqtf5+egoVWNwYmLxkfU6j42MsMi2ycYQzr9r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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1654,7 +1749,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 28, "metadata": { "collapsed": false }, @@ -1663,7 +1758,7 @@ "data": { "image/png": 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ysrJgYmKi+n9BiAgSiUTQee6YgA4cUP7btatBTH9SIDs7wM0NiIwEjhwRpG9g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\nxp599lkZY/T5559r69atamhoUHZ2tt8p2rRp0xQVFaWNGzd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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1703,7 +1798,7 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 29, "metadata": { "collapsed": false, "scrolled": false @@ -1713,7 +1808,7 @@ "data": { "image/png": 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37jFt2jR69eqV6v38/PwsEZ7NkeOSMjkuqUs+Nj9vPw5AFQ9HbY9XUhJFFy6k\n8LJlAIS1bMn1r77CEB2tiklbSFZ+zZTNq/oTb9z7N33qFXjueksfmxJTplDo4kViSpfmfI8eGK30\nd5OVXzNpkePyPE9P09Zl29TIYIECBXBwcCA0NPSZy0NDQ/Hw8Ej349SpU4fLl63kE6kQWUBsQhLH\nr9wFoGFF7abfHMLD8Rw2jMLLlmHU67n5yScEfPstBikibVFVS+bD1cWRm3cfcuNOlKaxuO3YQaEN\nGzBky0bAxIkYnZ01jUcILdjUyKCjoyO1atXC19eXrl27Pr7c19eXbt26pftxTp06ReHChdO8jZeX\n10vHaY+SP3nJcXmWHJfUPX1sdh6/SlyCgZqehWnbopE2AZ06Be+/D9evQ4EC6NaupXiLFli6B4q8\nZpTX6t9k9Z9/c/thDro+OhYWPzbnzj1uM6efM4cqVrp7WF4zKZPjkrqIiAiTbm9TI4MAI0aMYPny\n5fz4449cvHiRoUOHEhwczMCBAwEYM2YMrVq1enz7lStXsmbNGi5evMilS5eYMWMG8+fP55NPPtHq\nRxAiyzl8/iYATatptHFkzRpo0EAlgl5ecOIESHkpTSW/Fg6fT70smFk9eABduz5ZLzhokDZxCGEF\nbGpkEKB79+6EhYUxefJkgoODqVq1Kj4+PhR7VAYiJCSEa9euPXOfSZMmERgYiIODA+XLl2fZsmX0\nlLZSQljM0Qu3Aahbqahln9hggK+/hsmT1fl33oF580CmAjWX/Fo4ekGDZNBohAED1G7yqlVh4UIp\nIyOyNJtLBgEGDhz4eCTwv5Y9WhSerG/fvvTt29cSYQkhUmA0GjmWnAxWtmDtvqgo6NsXNm0CvR5m\nz4YhQ+RN30pUKV0IF2dHrgWHcyc8moJ5Lbhu87vv4NdfIXdu2LBBlRUSIgszaZq4fv36LFiwgLCw\nMHPFI4SwM1eD7nMvMoZC+XJS0t3VMk9686bqJrJpk+ov6+OjiklLImg1sjno8SpfBHgycmwR+/er\nftMAy5dDeSsqgC6ERkxKBuPi4hg8eDBFihShS5cubNq0iYSEBHPFJoSwA0cfrQmrW6koOkskY0eO\nqPqB/v5Qrpw636aN+Z9XmMziU8UhIfDWW6rt3KefQpculnleIaycScngyZMnOX/+PCNGjODUqVN0\n7doVDw8PBg0a9MIOIEKIrMmi6wV/+gmaNYPQULVB5OhRVVBaWKUnyaAFRgYTE1VR8eBgaNIEvv3W\n/M8phI0rJ+RbAAAgAElEQVQweTdxxYoV+eabb7h27Rp//fUXXbt2Zd26dTRu3Jhy5coxfvx4rly5\nYo5YhRA26EkyaMb1ggYDjBkDb78NcXFqZ+j27eDmZr7nFBmWvIb02IXbGAxG8z7Z2LGwdy94eMDa\ntSD96YV4LEOlZZo0acKiRYsICAigW7duBAQEMH78eCpUqECjRo3YvHlzZsUphLBB8YlJ+F8NQaeD\n2hWKmOdJoqLUdN+UKeDgAD/8oHYMOzqa5/lEpilWMA9FCuQmIjqOS7fume+J1qyB6dPV62PdOpUQ\nCiEey1AyuGfPHt59911KlizJunXrqFatGrNmzWLu3LlER0fTtWtXxo4dm1mxCiFszKWgSOITkqhY\nogCuucxQzuXGDWjYEH77DfLmVaOBgwdn/vMIs3k8VWyueoOHDkH//ur0rFlqY5EQ4hkmJ4Nnz55l\n9OjRlChRglatWrFt2zbee+89Tp8+zalTpxg2bBgfffQRp06d4v3332fhwoXmiFsIYQMCQlWrsepl\nzTASc+gQ1KkDZ86oHaFHj8JTBeeFbahRTr02zt+4k/kPHhAAnTpBfLxaOjBkSOY/hxB2wKRFE9Wq\nVePs2bNkz56dDh060K9fP7y9vdHrU84pmzZtyqJFizIlUCGE7bl1NxoAz2KZvHZvwwbVNSIuDlq3\nVmvA8uXL3OcQFlGuqHptXLl9H2pl4u8wPBxefx3u3FG7yefOldJCQqTCpGQwd+7cLFiwgO7du+Pq\n+uJ6YR07dnyuG4gQIuu4ee8h8OQNP1PMnQvDhqkuEgMHwvffy2YAG/YkGQwDymTOgyYkQPfucOEC\nVK6s1gnKa0SIVJn017F69WoKFixIjhw5Urw+JiaGO3fuUKJECQBcXFwoWVKjXqRCCM09GRnMn/EH\nMxjg889hxgx1/ptvYPRoGe2xcY+TwaAwjEZjxmtRGo1qOtjXFwoVgj/+UIXHhRCpMmnNYOnSpdm0\naVOq12/ZsoXSpUtnOCghhO0zGo3cvJtJI4NxcWpaeMYMNcKzcqUqJSOJoM3LlzsH+fPk4GFsAncj\n4zL+gN99p3oNZ88OmzdDqVIZf0wh7JxJyaDRmHYdqMTERMt0GBBCWL370fFExyXimjM7+fOkPJuQ\nLuHh0LYt/PKL6iW7bZuqJyjsRvKHhZv3ojP2QFu3wsiR6vSKFVC/fgYjEyJrMHk3cWrJXkREBD4+\nPhQqVCjDQQkhbN/NR1PE5Yq6vfyHxOQew3/9BYULw759asOIsCvJyeCtRyPJL8XfH3r2VNPEEyao\ntnNCiHR5YTI4fvx4HBwccHBwQKfT0adPn8fnn/5yc3Nj9erV9OzZ0xJxCyGs3K2MThH//bca2Tl7\nFipVgsOHoXr1TIxQWIsMjwzevq12DkdHQ58+8OWXmRidEPbvhRtI6tSpw+DBgzEajcybN4/WrVtT\nvnz5Z26j0+nImTMnXl5edJHG30IInryxv1QyuHs3dO4MkZFqZHDzZmktZ8cyNDJ4754qHXP7NjRq\nBEuWyFpSIUz0wmSwXbt2tGvXDoDo6GgGDhxI3bp1zR6YEMK23X5UVqZsERNrx61erTpGJCTAm2/C\nqlXgbIbuJcJqJCeDt8NMTAajouC11+D8eahSRXWiyZ7dDBEKYd9MKi2zbNkyc8UhhLAzEQ8TAHDP\nlyv9d5o5Ez79VJ0eOlS1D0ulqL2wH4Xy5gQgIjo+/XeKj4euXVXnmZIlYccOGT0W4iWlmQzu27cP\ngCZNmjxz/kWSby+EyLoiHyWDbunZSWw0wrhxMHGiOj9zJowYYcbohDVJfo1ExCSk7w5JSdC3L+zc\nCQULqu9Fi5oxQiHsW5rJYLNmzdDpdMTExODk5PT4fGqSC4YmJSVleqBCCNsSGaNGedxyvyAZNBhU\n4jdnjhoFXLZMvdGLLCOPS3b0eh3RsYkkJhnSvrHRCJ98oloQ5s4N27er3tRCiJeWZjK4Z88eAJyc\nnJ45L4QQL5KukcGkJPjgA1i6FBwdVS1B2YSW5ej1OvLlcuZeZAwPXjQ6+L//wbx5am3gli1Qs6ZF\nYhTCnqWZDDZt2jTN80IIkRKDwUjkozf1vLlS2fwRH6/KgKxfDzlywKZN4O1twSiFNXHLk4N7kTGP\n15qm6PvvVQ1BvV59cGjWzGLxCWHPTFqZHR0dTWBgYKrXBwYG8vBhBoqGCiHsQkR0LEYj5HLORjaH\nFP7NxMRAp04qEcyTR635kkQwS0teThCZWjK4erWaHgZYvFi9foQQmcKkZHD48OF07Ngx1es7derE\np8k7AYUQWVZYZAwAeVwcn78yMhLatQMfH8ifH/bsUfXhRJaWvJwgea3pM3x8oF8/dXraNBgwwIKR\nCWH/TEoGfX196dy5c6rXd+7cmR07dmQ4KCGEbQt7oJJBVxenZ6+4dw9atYK9e6FIEdVeTtZ8CdIY\nGdy7V5WQSUyEzz6DUaM0iE4I+2ZSncHg4GCKFCmS6vUeHh4EBQVlOCghhG17PDKY46mRweBg1Sni\n7FkoXRp27YIyZTSKUFib5GTwmTWD+/dD+/ZqWcG778KUKRpFJ4R9M2lksGDBgpw/fz7V68+fP0/e\nvHkzHNSLzJs3jzJlypAjRw68vLw4cOBAmrc/e/YszZo1w8XFheLFizMxuZaZEMIsIqLjAMjp/Ojz\n5o0b0KTJkz7D+/dLIiie4ZpLdQ6Jik1UFxw8qJYTPHyoSg0tXCht5oQwE5OSwfbt27Nw4UL8/Pye\nu+748eMsXLiQ9u3bZ1pwKVm7di3Dhg3jyy+/xN/fnwYNGtCuXTtu3bqV4u0fPHhA69atKVy4MCdO\nnGDOnDlMnz6d2bNnmzVOIbKy5FpxDnodBASo/sJXrkCNGmraTwoEi/9weNRpJslggMOHoW1biI5W\nO86XLgUHB40jFMJ+mTRNPH78eLZt20b9+vVp3749VapUAdTIm4+PD+7u7mYfdZs9ezYDBgxgwKMF\nxHPnzmX79u3Mnz+fyZMnP3f7n376iZiYGFasWIGTkxOVKlXiwoULzJo1i+HDh5s1ViGyqiSDSgYL\nP7gHzZvDzZvQoAFs2waurhpHJ6xR8q7zUjcug/cg1Xe4Vy9YvlwSQSHMzKSRQQ8PD/z8/Ojduzd7\n9+5lypQpTJkyhX379tGnTx/8/PzSXFOYUQkJCZw4cYLWrVs/c3mbNm04dOhQivc5cuQIjRs3flw4\nG8Db25ugoCBu3LhhtliFyMqSDEZKxIYz7deZEBgI9eurHaGSCAIQtGW31iFYHQe9jtqRtxixcho8\neAA9esCKFZIICmEBJo0MAri7u7N8+XKMRiN37twB1FrCtNrUZZa7d++SlJSEu7v7czH9+eefKd4n\nJCSE4sWLP3d7o9FISEgIJUuWTPF+KU2FCzkuqZHj8qy7fifY478c99hwoqpW5dI332C4dEnrsKyG\n7uBRec38R7aj+9l5ehUuSXGEtWpFwNCh4O+vdVhWRV4zKZPj8jxPT0+Tbm9yMvg0SySAQgjb4hga\nyoA543CLDeeSRymiv/8eQ65cWodlFYK27EZ38Chv7N7I1s/B2LAuRTq00DoszblcvMhHS77BJSmO\nY5W8cJg4EbJl6O1JCGECk//arly5wtixY9m+fTvR0dEA5MyZk/bt2zNp0iTKlSuX6UEmK1CgAA4O\nDoSGhj5zeWhoKB4eHinex8PDI8Xb63S6VO8D4OXllfGA7UjyJy85Ls+S4/Ift2+r6b27oRzPXYQZ\nXUewVlqGPeHlhZ+fH1s/hzf+3KB1NNbh1CnVWSQmmo0FKvL7m4NZWq+e1lFZFfk/kzI5LqmLiIgw\n6fYmJYPnzp2jYcOGxMTE0KFDBypVqgTAhQsX2Lx5Mzt37mT//v2PN5ZkNkdHR2rVqoWvry9du3Z9\nfLmvry/dunVL8T7169dn9OjRxMfHP143uHPnTooUKZLqFLEQ4iUEBanNIlevcq9cJdq4d6B+9hxa\nR2WVjA3rah2CdTh9WhUhv3+ff2o2okeuZvR2TKFrjRDCrEzaQDJ69GhcXFw4d+4c69evZ8KECUyY\nMIH169dz7tw5nJ2dGTNmjLliBWDEiBEsX76cH3/8kYsXLzJ06FCCg4MZOHAgAGPGjKFVq1aPb9+r\nVy9cXFzo378/586dY+PGjUydOpWRI0eaNU4hspTgYGjRAi5fhurV2T1lIeGOOTAYjFpHZpVkahg4\nfly9ZsLC4I03WD94HAn6bOhl+ZEQFmfSyOD+/fsZNWpUilPBZcuWZfDgwcyYMSPTgktJ9+7dCQsL\nY/LkyQQHB1O1alV8fHwoVqwYoDaMXLt27fHt8+TJg6+vLx999BG1a9cmX758jBo1imHDhpk1TiGy\njJAQ9ab+zz9QrRrs2kXS6WAAkoySDIoU7N0Lr7+uyse88QasX0/CalURwkEvyaAQlmZSMpiYmIiz\ns3Oq1+fIkYPExMQMB/UiAwcOfDwS+F/Lli177rIqVarw119/mTkqIbKgf/+Fli3h4kV45RXVYi5/\nfrI7/gtAfIJB4wCF1dm2TfUajo19UkfQ0ZHYePXe4ZjNpAkrIUQmMOmvrlatWixevJjw8PDnrgsP\nD2fx4sWykFOIrCIiQvUaPn8eqlSBP/+EAgWAJ31mH8QkpPUIIqtZvx46dlSJ4AcfwMqV8GiN4P0H\nsQC45pA1g0JYmkkjgxMmTKB169aUL1+e/v37U758eQD++ecfVq5cSXh4OIsWLTJLoEIIKxITAx06\nqA0Anp4qESxY8PHVbnlUMhjxMF6rCIW1WboU3n8fDAb49FOYNu2ZXsNhD2IAyOPilNojCCHMxKRk\nsGnTpuzYsYORI0c+tzawZs2arF27liZNmmRqgEIIK5OYCG+9Bfv2qR7Dvr7wn0LwySODkTIyKADm\nzIHkddoTJ8IXXzyTCMLTyaCMDAphaSbXGWzevDknT54kJCTkcTu3kiVLplmzTwhhJwwGeO892LoV\n8uWDHTsghRJNySODkQ8TMBqNUqA+qzIaYfJk+Oordf6772Do0BRvGhapkkFXSQaFsLiXLvHu4eEh\nCaAQWYnRCKNGqX6xLi5qI0AqNUVzZHckezY9cYkGYuIScXGWN/gsx2iEzz6DGTNAr4fFi2HAgFRv\nLiODQmgnzWRw3759L/WgMlUshB2aOhVmzVIL/jduhBd0icjj4sidyDjCHsRIMpjVJCXBRx/BwoWq\nrdzPP0P37mneJXlkME8OWTMohKWlmQw2a9bMpOmd5OmgpKSkDAcmhLAiixfDmDFqndfKleDt/cK7\n5HFxUslgZAzFCuaxQJDCKsTHwzvvwOrV4OwMGzZA+/Zp3iUuPpHo2AQc9DpcsjtYKFAhRLI0k8E9\ne/ZYKg4hhLXauBGS63r+8IPqPZwOydN9ydN/IguIjIQ331SbinLlgt9/h6ZNX3i3+1GPysq4OMr6\nUiE0kGYy2DQdf8RCCDu2ezf07Kk2jowfD4MGpfuuyfXi7kU8NFd0wpoEBcFrr4G/PxQqBH/8Aems\nO5v8GpH1gkJo46VLvV++fJmDBw8SERGRmfEIIazFyZOqQHB8PAwZ8mRHaDrlz5MdgFt3Is0RnbAm\n589D/foqEfT0hMOH050IwpPXSP7c2c0VoRAiDSYng6tXr6ZEiRJUrFiRJk2acOLECQDu3r1L+fLl\nWbduXaYHKYSwsFu3nvSO7dVLlQQxcfqueP6cAFy+HWaOCIW12L8fGjaEwECVEB46BGXKmPQQya+R\n4gVymiNCIcQLmJQMbtiwgT59+lCpUiWmT5+O8akm9AUKFKBSpUqsXLky04MUQlhQVJRKBIOD1Xqv\nZctUaRATFXv0xn5FkkH79euv0Lo1hIdDp06qN/WjloSmSH6NJH+AEEJYlkn/4SdPnkyrVq3YsWMH\n/fr1e+76unXrcvr06UwLTghhYUlJao1gcpu5jRvB6eVKfRQv4AJIMmi3vvtOlYuJi4PBg1Vi6OLy\nUg+V/BopVuDl7i+EyBiTksELFy7QuXPnVK8vVKgQd+7cyXBQQgiNjBqldoC6uakNAG5uL/1QRd1c\n0Ongekg4CYlSbspuGAwwciQMH64KS0+ZAv/3f+Dw8iVhZGRQCG2ZlAzmzJmTqKioVK+/evUqBV5i\nikAIYQUWLIDZs58Ulfb0zNDDZXd0oJCrM0kGIzdCZaOZXYiLU2tIk4uPr1oFn39u8nrSpyUlGQgI\nvg/IyKAQWjEpGWzRogXLly8nPj7+ueuCgoJYvHgx3ukoRiuEsDI7d8LHH6vTixalqzZcehSXdYP2\n4/59VWx87VrInRt8fKBPnww/7M07kSQkGihSIDc5nF66Q6oQIgNMSgYnTZpEcHAwXl5ezJs3D51O\nx7Zt2xg9ejSvvPIKer2ecePGmStWIYQ5nD8P3bqp9YJjxkD//pn20I93FN+6l2mPKTQQEACNGsHe\nvVCkiNpB3LJlpjx08mujXJGXX5IghMgYk5LB8uXLc/DgQTw8PPjf//6H0Whk1qxZTJs2jerVq3Pg\nwAFKlChhrliFEJnt339VoeDkzhGTJmXqw8smEjuwdy/UqaM+NFSurGoIVquWaQ+f/NooVzRfpj2m\nEMI0Jo3J79u3jyZNmrBz507u37/PlStXMBgMlClThoIFC5orRiGEOcTGqnIg169D7dqwYsVLlZBJ\nS7FHI4MXA2Vk0CYtXqx2Cicmqv7Ca9ZAnsztM/3PzUcjg0VlZFAIrZiUDDZr1oyiRYvSvXt3evTo\nQe3atc0VlxDCnIxG+PBDNcpTvDhs2fLSZUHSUrGYShz8LgVhNBql76ytSEyETz+FOXPU+REjYNq0\nDO0YTs2xi7cBqOlZGAjP9McXQryYScMAK1eupHr16vzwww/Uq1ePsmXL8sUXX3DmzBlzxSeEMIdF\ni2DlSpUAbt0KHh5meRqPvDlwz5eTsMgYmSq2FRERquj4nDlqx/CSJTBzplkSwfiEJE5eCgagTqWi\nmf74Qoj0MSkZ7NOnD1u3biU0NJQlS5ZQrlw5pk+fTo0aNahSpQoTJ07k0qVL5opVCJEZjh+HTz5R\npxctytT1X/+l0+moW6kYAEcv3Dbb84hMcuUK1KsHO3aoTiK7dsG775rt6c4EhBKXkET54vnJlzuH\n2Z5HCJG2l1og5OrqyjvvvMOOHTsIDg5m3rx5eHh4MH78eCpXrpzZMQohMsu9e2qjSHw8fPQR9O5t\n9qes+2jE5+iFW2Z/LpEBu3erjSIXL0KVKnDsGDRpYtanPHpevSbqVpRRQSG0lOHV4q6urhQtWpTC\nhQvj7Oz8TL9iIYQVSUpSyV9gINStq6b+LOBJMigjg1ZrwQJVQ/D+fTVFfOgQlC5t9qdNfk3UlSli\nITT1UsmgwWBg586dDBgwgEKFCtGxY0f+/PNP3nnnHfbt25fZMT4WHx/PkCFDKFiwILly5aJjx47c\nvp32G8yKFSvQ6/U4ODig1+sfn06pcLYQdm3ixCfTf+vXQ/bsFnna2hWLotOB/5UQYuMTLfKcIp0S\nE2HIEBg0SJ0eNQo2b870HcOpOfpo80jdysUs8nxCiJSZtJt4z549rF27lo0bN3Lv3j3y5s1L165d\n6dGjB82bN0efyWUp/mvo0KFs3bqVtWvX4ubmxvDhw3n99dc5efJkmrsUc+bMSUBAwDOjlk5OTmaN\nVQir4uMDEyaotmFr1qgdxBaSJ2d2KpcsyLnrd/C/EkI9eeO3DmFh0KMH+PqCkxMsXJipBcdf5P6D\nGC7dvIezUzZeLeNusecVQjzPpGSwZcuW5M6dmw4dOtCjRw+8vb3Jls0y7YMiIyNZunQpK1asoEWL\nFgCsWrWKkiVLsmvXLlq3bp3qfXU6ndRBFFnX9etqethoVEWlW7WyeAh1KxXl3PU7HD1/S5JBa3D6\nNHTuDNeuQcGCsGkTNGxo0RCOXXhSUsbJMfN3Kgsh0s+kobz169cTGhrKqlWreO211yyWCAKcOHGC\nxMTEZ5K+YsWKUalSJQ4dOpTmfWNiYihVqhTFixfnjTfewN/f39zhCmEdYmPVhpHktWBjxmgSRvKO\n4iOyblB7P/8M9eurRLBmTbW73MKJIMCRRxuKZL2gENozKRns2rUrzs7O5oolTSEhITg4OJA/f/5n\nLnd3dyckJCTV+1WoUIGlS5eyZcsWfvnlF5ydnWnYsCFXr141d8hCaG/YMDhxQm0GWLky0zuMpFeT\naiUB8PW7SlKSQZMYsryEBBg6FPr0gZgYNSV84ACULKlJODuOq//Bya8NIYR2dEaNt/9+9dVXTJ48\nOdXrdTode/bs4fbt2/Tr1++5jR8tW7akfPnyzJ8/P13PZzAYqFGjBs2bN+e777575rqIiIjHpy9f\nvmzCTyGE9cm7Zw/lPvsMg5MTF5YuJaZCBc1iMRqNdJ7yF7fDHvLjRw14tZT0obWkbHfvUnbsWHKf\nOoUhWzZufvopd7p0UWtINRAeHU+b8b5k0+vZNb41LtktN8skRFbg6en5+LSrq+sLb6/5X+Dw4cN5\n++2307xNiRIlOHz4MElJSdy7d++Z0cHQ0FCamFALS6/XU6tWLUn2hF1zvHOHUo8+ZN0aMkTTRBDU\nh7pGlQqx9uB1Dl78V5JBC8p1+jRlxozB6c4d4gsW5OqUKUS/+qqmMR26+C9GI9Qs4yaJoBBWQPO/\nQjc3N9zcXtygvFatWmTLlg1fX1969OgBwK1bt7hw4QINTVzvcvr0aWrUqJHmbby8vEx6THvn5+cH\nyHH5L6s8LgYDtG2r2op5e1Ni+nRKaDAC9N9j844hL2sPXufkjSjrOl4WZrHXjNGoWsqNGqXKxjRu\njNO6dVQyU+tBU8z0uQFAzza1njkOVvn3ZAXkuKRMjkvqnp7pTA/Nk8H0ypMnD++++y6fffYZBQsW\nxM3NjZEjR1K9enVatmz5+HYtW7akXr16j6eeJ0yYQL169fD09CQyMpI5c+Zw9uxZFi1apNWPIoR5\nzZmjyoUUKADLlmk2FfhfTauXwsXZEf8rIdy+E0nRgpapZZclPXig2sitX6/OjxwJ336reg1rLDHJ\nwPZjVwB4rX55jaMRQkAmdCCxpDlz5tC5c2d69OhB48aNyZMnD1u2bHmmxuC1a9ee2VASHh7Ohx9+\nSOXKlfH29iY4OJj9+/dTq1YtLX4EIczr7FkYPVqd/vFHKFxY23ie4uyUjVY1ywDg8ygZEGZw/jzU\nrq0Swdy51fcZM6wiEQQ4cv4W4VGxlC+en3JFXzwrJIQwP5sZGQRwdHRkzpw5zJkzJ9XbBAQEPHN+\n1qxZzJo1y9yhCaG9hATo21f1HX7vPejQQeuInvNaPU+2HPqHP45c5r3Xamodjv1Zswbefx+io6Fq\nVdiwAcpb1+jbH0cuAfBaXc8X3FIIYSk2NTIohEjDpElw6hSUKgVW+gGofT2VAPj6XSVOWtNlnocP\nVRLYq5dKBHv3hiNHrC4RBPjjiNq891o9SQaFsBaSDAphD/z8ILlE0/LlanrQChUrmIdqZd2Jjk1g\nj/91rcOxD3//raaFlyxR/abnzYNVqyBnTq0je871kHD+DviX3C5ONH5V6gsKYS0kGRTC1sXGqunh\npCRVZLppU60jSlOXxpUA+Mn3jMaR2DijERYsgDp11DrBSpXg2DEYNMhqNg39V/Lv/PV65aUFnRBW\nRJJBIWzd9Olw4QJUqADffKN1NC/U17saABv2XSAiKlbjaGzU/fvQrZtK/GJj1c7h48dB4/qBaTEa\njSzfrlqB9m9bXeNohBBPk2RQCFsWEPAkAVywAHLk0DaedCjlkZcWNUoTG5/I2j3ntA7H9hw6BNWr\nq80huXOrTSNLlljltPDT9p8J5GrQfYoVzEPLmqW1DkcI8RRJBoWwVUYjDBmiRob69IFmzbSOKN36\nt1Wjg8t3+GsciQ1JSlKJf5MmEBio1gn6+8OjIvzWLnlUsG+bV3FwkLceIayJ/EUKYat++w22bYM8\nedRUsQ3p0rgSuV2cOHzuFhcD72odjvULCoI2beCLL1RSOGoUHDgAZcpoHVm6RMXEs+4vNQosU8RC\nWB9JBoWwRdHR8Mkn6vTkyWAFLcZMkTOHE92bVQGejBiJVPj4QLVqsHs3FCwI27fDtGng5KR1ZOn2\n697zRMcm0LBqcTyL5X/xHYQQFiXJoBC2aNIkuHkTatRQmwhs0DuPRohW+Z4hKcmgcTRWKDZWtZFr\n3x7u3oVWreD0afD21joykyUn/O/IqKAQVkmSQSFszYULqr2YTgfz54ODbZboaFC1OJ7F3Ai6+4Cd\nfle1Dse6nDwJXl6qeLiDg+orvGOHVbUXTK+AoPvsPX2DHNmz0e3RaLAQwrpIMiiELTEa4aOPIDFR\ndZyoW1friF6aTqejv7caKfph83GNo7ESiYlq1LduXTh3TnUQOXhQ9ZvW2+a/63m/qd/tm00qkydn\ndo2jEUKkxDb/uwiRVf36K+zZAwUK2ERNwRd5//Wa5MiejT+OXObM1VCtw9HWP/9Aw4bw1VcqKRwy\nRLUXtOGEPywyhgVb/AAY9mY9jaMRQqRGkkEhbEVSEnz9tTo9aRLkt/2F+AXz5uT912oCMHXNQY2j\n0YjBAHPnqvWfx45BsWKwa5e6zMVF6+gy5IfNx4iOTaCNV1lqlre9KW4hsgpJBoWwFatXw8WLULo0\nDBigdTSZZmT3BmRz0PPLnrMEBN3XOhzLCgyE1q1h6FCIiVFtBf/+G1q21DqyDIuOiWfOhqMAjO7V\nUONohBBpkWRQCFuQkADjx6vTX38Njo7axpOJSri70rvVKxgMRqavzSKjg0YjrFgBr7zypGTMxo3q\nsrx5tY4uUyz54yT3ImOoW6kozaqX0jocIUQaJBkUwhasXAlXr6oNBX36aB1Npvu8pxo5WubjT0hY\nlMbRmFe2sDDKfvYZ9O8PkZHQsSOcPQudO2sdWqaJT0hi5vrDAIzp1QidTqdxREKItEgyKIS1i4+H\niRPV6XHjIFs2beMxg0olC9KpUUXiEpL47tcjWodjPps2UaVHD/L99ZfqHLN8OWzaBIUKaR1Zplr9\n53vU9RUAACAASURBVN/c/DeSyiUL8kaDClqHI4R4AUkGhbB2S5fCjRtQuTK89ZbW0ZjNmF6NAFWK\nJDwqVuNoMllwMHTrBl264Hj/PpFeXmptYL9+ql6kHTEYjI83A33esyF6vX39fELYI0kGhbBmsbFq\n5zCoNYM2WmA6PepUKkqLGqV58DCe6b/YydpBoxGWLIFKlVRZoFy5uDFqFJd++AFKlNA6OrNY/eff\nXAy8Swl3V3q2rKp1OEKIdJBkUAhrtnQp3L6tetN26aJ1NGY36d3mAMxcd5hrwTa+s/jSJWjeXBUH\nj4hQbeXOneNO9+42W0D6RaJi4vl80S4A/tevKY7Z7PfDixD2xD7/IwlhD4xG+OEHdfqLL+w2gXha\n/SrF6d3qFeISkhi1wFfrcF5OQoJqH/fqq7B3r9opvGYN/P673Y4GJpuy+gBBdx9Qu2IR+nlLH2Ih\nbIX9v7sIYasOHYLz58HdHTp10joai5n6QStcnB3ZsO8Ce05d0zoc0xw/rnoKjx0LcXFqx/CFC9Cj\nh92tDfyvgKD7zFh7CIA5H7eVtYJC2BBJBoWwVgsXqu8DBthVXcEXKVowD2N7q80kQ/9vO4lJBo0j\nSofoaBgxAurVgzNnVGFwX19YtswuOsWkx6gFvsQlJNGn9avUr1Jc63CEECaQZFAIaxQWBuvWqdPv\nv69tLBoY0a0+pTzy8nfAvyz+/YTW4aRtxw6oWhVmz1bnR41SdQNbtdI2LgvaffIaG/dfIKezI1Pe\nt/3uKUJkNTaVDC5evJgWLVqQL18+9Ho9gYGB6brfhg0bqFKlCs7OzlStWpXNmzebOVIhMmjlSjXN\n2KaNGmXKYnJkd2TmoDYAfLl0D2GRMRpHlIKgIOjdG9q2hevXVW/h48dh2jSb7ylsisQkA0P/bzsA\nY3s3pmjBPBpHJIQwlU0lgw8fPsTb25vx48enu6L94cOH6dGjB2+//TanT5+mV69edOvWjePHj5s5\nWiFektH4ZIr4ww+1jUVDnRtXpHmNUoRFxvD1sj1ah/NEfDzMmAEVKqh+0c7OKgE8dgxq1tQ6Ootb\nsMWPs9f+pXThvIzoXl/rcIQQL8GmksGhQ4fy+eef07Bh+puez5kzhxYtWjB69GgqVKjA2LFjadas\nGd99950ZIxUiA/bvh4sXwcMD3nhD62g0o9PpmPNxWxz0Oub9dpy9/te1DkmtA6xWTU0FR0WpjT3n\nz6vzdtgZ5kUCgu4z+lEpmZmD2uDslPWOgRD2wKaSwZdx+PBh2rRp88xl3t7eHDp0SKOIhHiB5LWC\n/ftnqY0jKXmljDtf9GmM0Qj9p/7Gg4dx2gRy4wZ07aqm7S9eBE9P8PFRreSy4DQ+QFKSgf5TNxMd\nm0D3ZlXo3LiS1iEJIV6S3SeDISEhuLu7P3OZu7s7ISEhGkUkxAvs3Km+Z+FRwad9+XYTanoW5npI\nOCPm7bDsk8fEwIQJULEibNwIOXPClCmqlVzbtpaNxcp8t+EI+88E4uGWi3nD2msdjhAiAzQf0//q\nq6+YPHlyqtfrdDr27NlDkyZNLBgV+Pn5WfT5bIUcl5Rl1nFxCgri1cuXScyZE3+9HuzgeGfGsfms\ngyd954Sy5I9TVCygp2lVj0yILA1GI6779lFi1iyyBwUBcM/bm1uffEJCoUIqGcwgW/5buhQUydjF\nj/oPd6rItcvnycyKkLZ8bMxJjkvK5Lg8z9PT06Tba54MDh8+nLfffjvN25TIQNV+Dw8PQkNDn7ks\nNDQUDw8zv5kI8RLyHD0KwIPatbPkGrTUlPXIzUftKjB76wUmrj9DxWKuuOfNYZbnyh4YSImZM3F9\ntJTkYdmyBI4aRVStWmZ5PlsTE5/IFz+fJD7RQKe6xWlUyf3FdxJCWDXN323c3Nxwc3Mz2+PXr18f\nX19fRo4c+fgyX19fGjRokOb9vLy8zBaTLUr+5CXH5VmZflymTQMgX/fuNn+sM/vY1Kz5/+3deVhV\n1f4G8HdvZhAJVAgVJAQVyggVvKG/MgwHQkXTcg7tXkxFuFo2kaLW1cqiG6WolImikmU5Zc7ikHVV\nwmNgokyOgAODgAPDWb8/dqInRaGAffC8n+fZz+Fs1jn7PfsR+Lr2Wmt3xfELq/Dj/zLwwcYM7Ip+\nCcZG9TjSpbAQmDsXiIlRZgzb2ADvvgvLiRPRqR4L86b+s/TP+RuQc6EMnu1aYeWsMbA0r79xrU39\n3DQUnpe743mpWXFxcZ3aN6kxg/n5+dBoNEhPT4cQAmlpadBoNCgsvHVD+969eyMyMrL6eUREBHbt\n2oUPPvgA6enpmDdvHpKSkjB16lQ1PgJRzaqqgB3KzEz8adITAbIsYdkbwXjYrhn2HT2N2fFJ9fPG\n168rS8W4uiqP5eXKXV9OnACmTGEP7W1Wbj+KLze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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1875,7 +1970,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 30, "metadata": { "collapsed": false }, @@ -1895,7 +1990,7 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 31, "metadata": { "collapsed": false }, @@ -1904,7 +1999,7 @@ "data": { "image/png": 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wvwv0a5tBfl4uhfkVqIFNsNuNhIaGoapGyssddwZ1F5OE3e74X6vVCoCXlxda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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1916,9 +2011,9 @@ "from scipy.linalg import inv\n", "\n", "count = 50\n", - "data = compute_dog_data(R_var, Q_var, count)\n", + "track, zs = compute_dog_data(R_var, Q_var, count)\n", "xs, cov = [], []\n", - "for z in data[:, 1]:\n", + "for z in zs:\n", " # predict\n", " x = dot(F, x)\n", " P = dot(F, P).dot(F.T) + Q\n", @@ -1934,7 +2029,7 @@ " cov.append(P)\n", "\n", "xs, cov = np.array(xs), np.array(cov)\n", - "plot_track(xs[:, 0], data[:, 0], data[:, 1], cov, plot_P=False, dt=dt)" + "plot_track(xs[:, 0], track, zs, cov, plot_P=False, dt=dt)" ] }, { @@ -2007,7 +2102,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 32, "metadata": { "collapsed": false }, @@ -2027,7 +2122,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 33, "metadata": { "collapsed": false, "scrolled": true @@ -2037,7 +2132,7 @@ "data": { "image/png": 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QDUsSOCGEcGLXaryrU1U+0OuJWbwYncWCkpNDZRNYcSuvLGPboXWk7P2Rc6Wn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\nM2YgMDAQx44dg5+fn6ovu1fhWEf2y1CDlpkrAGj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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2119,7 +2214,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 34, "metadata": { "collapsed": false }, @@ -2128,7 +2223,7 @@ "data": { "image/png": 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iIleMSlslm3bF8cb/e4Sp/5rIq6+9wsIPVmMYhr1OuFsQEz9MYepLqxi8Lhuv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\nEREREXUwbOCIiIiIOhg2cEREREQdDBs4IiIiog6GDRwRERF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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2148,7 +2243,7 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 35, "metadata": { "collapsed": false }, @@ -2157,7 +2252,7 @@ "data": { "image/png": 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kVx2hqCqL+uYf6/AZTQYKT2ZReDILAA9HP/zdQvHvFYaXc4Cs4xNC3HS6LMhb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\nzs4Oa9euRUlJCebOnYuZM2fivffe01W6RERERF2WTpu8w4c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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2250,7 +2345,7 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 36, "metadata": { "collapsed": false, "scrolled": false @@ -2258,9 +2353,19 @@ "outputs": [ { "data": { - "image/png": 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Vq+h02ahq7ZdsuxUHwx3MxwajQshRp5vcXXF2HHY2Hw/tnn3L+7/7bh0DBjxC\nv36TWLToS/btO8nZs5fQNAOaloe/vw3OztnABRTlAm3aCFxcslDVdFQ1D0UxmBNip2dZM+W93tw3\ncxBXUi1pacb3j+PYt5v5+YNddG2dVu1nfGxEtPn41z2W9gA/hT3LYPp4S1tETLWnA6QyKJE0eAYM\nGEBmpin9gaIoGAwGJk2axNWrtV9GSSKRVJ7rn9frbNmyBaPRiBCCzfsFKZf3IoRGY08jQ7snExho\ni6ZdQIgz6PVnGTjQmyfHRGFva6qWcfKiPXtOOJQ1VZ1xILykPFsPOJdzZ8UxGEzl2q4zvEfplDYZ\nGdmkpGQAMGfOxzz99MdERCSRmprNTz/9ytq139CqVTGKcgFVjcHLqwAHh4Jr0b3lu1x/3dOY9o+N\n4butgeY2L7d8/vf+Ln7+YBedW9ac231Y9yvm45N/8q7b2igsn6mwcg7YlZMlpypIZVAiacBcvHiR\ntDTTf6JHjx4lIyMDa2trNE1jxYoVdSydRCIBOHHiBEVFRWbrXkjIDvLzU9C0FDQtng4d3BAiEiHC\nWbU5C6XRBBRF5fGRyVhZJRAYaIdOl2Uu26Yo4Opk5LERFivU0rVedfiEJYlPtiIu0bpE27aDzohq\nbm87dNaBrFwdAE28i2jZtJDk5HQuXIi7VtFDISMji9TURHJzEwgL+52uXa0ZMcKRwYMdUZSrhIbu\n4eTJkxUuf5eWZc3k93oz/s2S1sBHhkUTvnojDwyKq95DlUHrZlnodKYo56gEyM4tLesToxQOfAXB\nTWpmTqkMSiQNmKKiIvNxo0aNsLe3N0e9GQyGuhJLIrmryM7O5tixY7Rp0wZnZ2c8PDz4+uuvEaIY\nTctCVbMwGGIR4iJChDNhQgC2tjGoagyqehV/fyv0+lxSM41s2meJ6J0y+ub7zp570OJOXhvmSnyy\nVa09Y2U4GF7aShlz1YZzsZU3ZQkhKCgwRSJvP+yEKLqKyNrH0G7ZCKGh0xVjZZWHEFeACzRrlk2r\nVhpRUYfIy0ukuDiLVave54sv/oaHh6kcyokTZys094bdjWn/2Fi+v8Ea6O2ez7qFYfwwdx+NXIpu\n0rvq9O71NkG+FutgeHTZ93VooXC4hv7nl8qgRNKAadWqFQ4Opj+8gYGB2NvbU1BQgKIoPPHEE3Us\nXd2QlJRE7969cXNzw8/Pj48//riuRZLcYURHR5OVZXJRCiFYv34dvXv3JCIiguzsbFJTU5k+fRpr\n1y5CUSK5qckbAAAgAElEQVTp0MEee/tMVDUTVS00W/f+zJrtbhiuVavo0yGHlk1vno6lQ4sCBnYx\n7ZszGhW+XF8PMkJT2kV8nYq4igsLi4iJsShCSUnp7Nx5FE0rZvshB9C7g317hnaPRFEicXdPpVkz\nDVXNKOHqbdzYG0UxuZYXL17BqlVrSUvLB0xRwzcjLcuax//ehwlvDeJqqqWe3iPDojn9w0YmDLh8\ny+eoDO3bv0VoqEVBPX/+KvYFv5nPT0WV39fZoWY2h0plUCJpwKiqytatW7GxsUHTNIqLi1EUhU8/\n/ZSAgIBbD3CHkZOTQ1BQEAcOHCAjI4MrV67w2muvMXv27LoWrc7YsGEDLVq0wN3dnY4dOxIeHl7X\nItV7hBAlLOvHjx8nNjYWIQSaVkBBQQpFRfFoWjRCnGXdumUUFRlwdbVhyZLnaNnSEyFg5szFlQrk\nWLmpkfl48i2sgte50Tr4r188KCyq48gR4GC4xZ06qpdlf+S2g6WVwaKiYo4cOWN28xYXF5OQEI+m\nZaJpSXh6ZjNypAfZeZc4eMYJRbVG0TsztNtlFEUrVwZ3d1d69gwC4KefdvHZZ+vRNPD3d2HQoF5l\n9snN17FyUyDtHh3L6t8sfz+raw3UNI28PEuWh7Zt32Tx4k3m86ysfNas2W8+f/fdCXTrbLEQ/3nf\nYG0glUGJpIHTr18/0tLS+Oabb1i6dCmXL1/mhRdeuHXHO5B33nmH7OxsVFXljTfeoF27dgB89NFH\ndSxZ3bB27VrGjx9PVFQU6enpnDp1is6dO3Px4sW6Fq1ekZaWZt57C3DgwAHOnz+LpmWjack0aaLD\n3T0DU66+cNq0UfHwyENV01DVfOLiTMFa48b14YUXnuSdd56+Nm5uhWU4ft6OExdMSpSttcZDQyoW\nkDC+fwaNPU0KSlK6FWtDXSs8Z21QbIAjERbL4Lt/tVj5wv5wIjdfEBJyGE0TCAGqasTaugghEoGL\nODjE0bu3A6qagKqmXovoNRL2hzdGo0ll6dIyDU+3Wyex/vzzdxg7thuurjY4OVnRs2cQa9YsMm+l\nAZNF9fcj3kx5rzc+4x7krwt6k5hmsQY+NsK0N7Ay1sDjx2M4csRizuvQ4W2mT//WfO7kZMumTSfM\n58uXP8kzzwwxn8+cOZZxw93N56dvYhmsKWTSaYnkDsDe3p4nn3yyrsWoc86fN2Xqbdu2LYsWLeLZ\nZ58lMDCwxN7Ku4nr/xR4eXkxdepUPv74YwoKCpg2bRohISF1LF3dERsbS0FBAcHBwYAgLe0KilKE\nq2sBUEDPns4oSiFwHkWBRo1uPl5QkD9Hj8bw0+7urBnYAX1OIuhc8PGp+B65lZstkzwwMAMXx/Kt\nXjdipYenJ6Tw7ld+ACxd68kjw2s3ofTNOHXRjrwCBRA09y2iZ7s8mtj8SmzeUAqK7Ag7bkvr5o5o\nWjw6XT46nYGOHW2Am6dk2X7Y4todekO07c1QVZW///2lMq+diXbm+62BrP6tOZeTSru1fRrls/yN\ng9zXP/6W8/zvf4dITc3m6adN2cFffvkHiooM7Nv3NwDatWtMeLhFmVy5cjpOThaFc/TozqXG7NAi\nw3x86qLJWl1T1UbKQloGJRLJHUP79qYi7+Hh4TzxxBMMHjwYANv6WGD1NpCRYfpCmTt3Lu+//z5j\nx44F4PLlmt3zVB8pLi42H8fExLB3716EMKJp2Tg6FuDmlosQEcAJWrQooEULDVW9ci2/nClq12g0\n8OOPG/jww+UcPPhHuXP9859/w9kjiGKf99CEFUUOo1A6hDF/0YcVkrWoWGHNDSXWKuoivs60+1Kw\n0puUx/2nHTkaYXeLHjVLcnI6hYWmf7gOhDtA+gYwpNKzbQ6alsOoexuDaoou/u2gjsBA0Ouzr+Xw\nq9gcOw5bahEP6161tFnJ6TZ89t9WdP/rSNo/No4Pf2hXShFs3SyT958+TvgPG82KYEJCOnv2nDPf\ns3DhBoYOXWg+37z5BB98sNF8Pnp0pxJjfvfd0xw9+p75vE2bxvj7u3Mzmnrn4uxg2qqQlgVXUir5\nsJVEKoMSieSO4b333sPT0xMhBN9//z0xMaaMrO+//34dS1Y3NLpm0nr77beZMWMGGzZsAKB58+Z1\nKFXNU1xcTEqK5dsyLi6OkJDf0bQcNC0Zb+8iunRxBE6gKOdxd8/G01O75oIsO0FzSkoaAQHDeeSR\nebz11tf06jWNRx99tcz5PTzc+cvLO1DUG6J57Tvy+sr/IyLm1tbBzfudSckw9W3iXcSQrrdOpnwj\n3u4GHhpisSQtXedZqf6V5fz5GNLSMs37/CIjY8jMTEXTMjlwWgduY1GsPOjVPhpVjeOBoekoiikl\nzLaDNw/eKIu4RHvOxZr20NlaG+jXManCfTOyrfhpRzPGzxxI4/EP8PIn3Th6rqSp18O1gOcnRnDo\n6y2Er95Ia6eVPDXlH+brS5fu4IEHPjWf6/U6jhyxhPg+9lgfOnVqaj6fOXOs2SoIYGtrXcI1XREU\nBdoF5JnPT9byzg6pDEokkjsGa2trLl26xNixY/H396d169b88MMPvPpq2V/idzpff/01iqKQkZHB\nsmXLKCoqwtramm+++aauRasW+fn5/PGHyVInhCAnJ4tTp45cy9sXh59fLsOHe6Mo51DVWGxts7C3\nN5QbxVsW48Y9y+XLWeh04OvrCMCaNbv48svVpe5NTNOzZoe/+fx6RGtsog39nmnF/tM3Twh9Y+DI\n4yNT0ekqJuONPPegRUH6cbs7qZlVGKQcTp++QHR0AkKAphVjZVWMomQhRAJwgd69bfHyykBVE0xB\nHtcUv57tTBbOAZ2TsLMxWbnOxboQnVC5BNnbb7AK9u+UjK1N+S50ISA8yoVFq9sy6LmheI6ZyCN/\n68eve/0xGC0qj5XewMTBMaz/IJQPJr7G2o/60K1NGooC2dkFbNli2dM3YEArrKwsr+ejj/bhyy//\naj4fMqQd69e/UqlnuhknT0Ywc+aHZCeGmdtOSWVQIpFIKo69vT2//vorcXFxnD17lkcffbSuRaoz\nRowYQUhICB06dMDX15fevXtz/vx5/P39b925DtE0jaQki3JTUFDA//73P4TQ0LR8VDUbG5tsczSv\nq2sMgwZ5Xsvbl4ROl1uuxa+inDplsip/+eUbJCSE0qePKTJ13brfS9275N9eFBSZvk67tspl00cX\ncbAzVQdJy9Iz9MVgNu4tO61KYpqeTfstkaOTR1WtnFnPdnl0bWUKWCksUlmxseJpZoQQFBdboqdP\nn77AH3+cR9NMr7efnw2enoWYSrZdJCCgGDe3HFQ1s0Q6l9RMayLjTM9ppTfSJdj0LLY2GoO6JJrH\n33bQr1LPtuMW+wXzC3Vs3ufHc4u70+Iv4+nw+Fje+qILu45bgk6u06dDMs+NWovxoA//mb+H+/rH\n07tXMxISMswR5CNHdmTq1EHmPiNGdCQ+/nPzuZ+fGw8/XHZEcnXZsiWMqVPf5/ffT5N9dZ+5vbaD\nSKQyKJFIJHcwgwYN4uTJkyQkJLBv3z6aNWtW1yIBmPP0gUkZ2b59O5qmXavSYWTfvjCMxgw0LRFr\n60SGDw/E5OY9g41NHG3bOpijeStj8asoqmoa8NKleDRNIzXVJK+VVcm4y/QsHctucMvOeiKRkb2y\nCPk8Ek9X077F/EKV+2e1YMWvpSNR1vzmjvFabsG+HXMIbnLrKNmyUJSSaWaWrfPAaCz73ry8ApKT\nLUEmUVFXOHs2Fk0rRNMyadHCjnbtdChKJKp6CXf3HBwdC1CU4ptW7jgYblFAu7RML2HBG9HLosRV\nxlWsabDjSOn9gnGJ9iz7OZhxbwzCY9RExr4xmGXrWnLpimOpMTq1SETEzuXEyv+wZ/lvLHkrB1XL\nJCXF9J62adOYQ4f+bnblenm58PnndZOndeHClRiN4O3tQKeWOeb2sMPVr3l8M6QyKJFI7jgiYgQP\nzBIs/K6a9a8kNcYff/xhrr8rhGDbti0UFmagaekIkUhQkD2aZirJpqqnGD8+EJ3uIqp6GVVNwdlZ\nVNvaVxmGDbsHgPnz12Bj04Nz55JQFJgxY1KJ+z7/nyfZeSYXYtvm+UwYYNq7171NHnuWnyfAz6Tc\nGY0K0z5oxvyVPuaybEKUjCKePKpygSN/5uGh6TRyMVm3Yq7amKuZZGRkc+ZMlHmPX2ZmFnFxl9G0\nLDQtmbZtrejRwwpFiUJVE7Czy8LauuimefzK4uAZy7P0bFcy4mFkzwTz8e9HfCgqrpj6ceKCGykZ\npgAwT9cCmvtm89zi7jR/cALPfdSDTfsak19YUkF3si+C1LW8M2kDCRvW8sd3O2jrvAK1yLTPT6/X\nU1S0Eg8Pi7W2e/fASu/rq2lyc/PIzTW9f//978d89anFq3E51YliQ+39PZPKoEQiueN4ZhGs3wWz\nv4Rdx6VCeDu4ruRdJyQkhKysrGsRvDnodDkUF19CiEjgFBMnBmNtfRFVjUJV4wkIsEWvz7lphY7b\nyY8/LmHAgFaAqYqFlZXCBx9MY/ToweZ7cvJUPvuvpSbwW08kcqM+EdykkL3Lz9GlpSUQ4N2v/Hhu\ncROMRjgeacepi6bIXzsbjYfurXpKGE3TsLMRPDUuBWHIQGTsYOk6TzTNiE5XjLV1AUIkIkQ0Pj7p\ndOmiR1XjUdUUFCUHqHhkb3ncaBns9SdlMLhJNgF+psCYnHwr9p2qmBv7t0MmK6LIPU2gzxU6PD6O\nZetaIkRJYZWCCO5ts5XfP9tB8ua1PNV/Kff3O41PI1Oy5/DwD2jXrn5vj7CzszXvF/3ss+84cXQX\nFMYCoGFFZM2XQTYj8wxKJJI7ipirgl3HLedrQ2FA6TRekmqSmppqLoUIsHHjRrp3vwcvLyeggHbt\nXLG1jQWKURSNjh3tgYzyhqt3WFtbExa2mqSkFGJiEujQoWWpFEXL13uQlmX6Gg30K+T/7i3tyvNp\nZCD0n+d58O1AdhwxWaKW/+xJUpoedxeLH/fBQek4O1TMEieEICsrFxcXk0s0JyefX3/dzcMPD2X6\nfZf58Psu4Nid0GMOFBsu4uRkxMlJ4Va5/KqDpsHBM+Urg4oCI3peYfnPTgBsPejHoHvKjwqePv0b\n/vKX7uw4fC0ZsyGZgxHtS9zj53iSN6cWMqZPAgd3/UavXkEEBJiU86++eqomHuu2oqoqgwd3YMeO\nU3z//V7Wro1E5LVDsTFFKp+6CG1rqbBUg7YMLly4EFVVefHFF0u0z507l8aNG2Nvb8/gwYM5c+ZM\nHUkokUhuN2t+K3n+yy5KWKwkVePChQskJyebLYAXL0aQnh6LrW0mdnZJjBoVgLd34rV9ZnF4ewus\nrQtvq2u3NvDy8qB7946lFMGCQoWPf/I2n8987Cr6cswrTg4aGz+6yKRhFmVsXZgbX2+wKE+TR99c\nUTt/Psa8jo1Gje3bD2Iw5KFpmdjbZzFxYiCKEklg43ME+OWj6F0oNuiIiHGq7CNXiXOxzmTmmHIJ\nernlIwQ8OKs/wQ/dxwsfd+PA6UaM6GFxFW87UHLfYP/+7/GPf1hKtP3+ezgrvztI2B+m11hxsVhk\nPV0L+OdLW4nZfIIX/nKewMY5TJrUx6wINhRu/Lt07twVjh2LYcGC2YwfPxpHRz8yM1Vc9BZzYG2m\nl2mwyuCBAwf46quv6NSpZHLHDz/8kCVLlrB06VKOHDmCl5cXw4YNIze34mWBJBJJw+XH7SXPYxPh\neGTdyNKQ0DStRKWW48ePExERYXbzWlvnoqpXEeICcIru3W3x9c1GVRNQlFT0+vrh3r1dfLOpEVdT\nTbkB/TyKbhkFbG0l+P7dS7zyf4mlrjX1LsTX/lSJesj//vd28vOLrkVQF5OYeJWionQ0LRlVvcyD\nDzZBp4u5VrYt7Vq6F5NlsXOQRZbjkW6l5qsNDtzgIvZ0LaDjE2P5eVdTLsY7sXRtK/o8PZJXPuuK\nek3G46HLeOAvK819VFXh55+PmM8fnvx/7En/ukQ6GIApoy9yZs2vzHgoFZ2u4agwmqaRn2/5fF28\nmERo6Hk0zRFN86JJk860aTMAVQ3mnXfmcejQBs6d28cXHz1j7nO6FpXBBukmzszM5LHHHuPbb79l\n7ty5Ja59+umnzJo1iwkTJgCwatUqvLy8WLNmDdOmTasDaes/ly9fZvbs2SQkJNCjRw/ee++9Ot9I\nK5FUhZMXRJkpGNbvgi4tb7889Zns7GyKiorMialPnDiBqmp06BAE5BMUZI1eX4ApglfQ1JxT9+4s\n7XcjxQb4x2qLVfC1SUnYWN/c+pycnI6rqxOLX4jHz6OY1+cdA+dBKHpnHh+ZTE5OGkVFDtf+9hYz\ndmxzbGxiAA1F0ejd24XzcfkkZ9iSnNGI5AxbktJtSU63ISXDluQMm2ttpt/X2X3Ci8mjo8uVq6a4\nURkMjy5bAb105QYrpfd0fjulJzHNFm/3Aj799HEMBiMGg8Kn/23Fp6EPlwgMcbYv4r/v72ZYj6pV\nH7ndFBUZSEnJxs/P9FpcuZLF2bOJDBnSE7CjadOmBATYoSgqigL29td7llxHHVpYjk/VYnqZBqkM\nTp8+nYceeoiBAweWaI+Ojubq1asMGzbM3GZra8uAAQPYt2+fVAbL4OTJk3Tr1s1cumnHjh2sWbOG\nyMhI9OX5PCSSesrqG1zE3u6QeM1A8stu+PvUupGpPnA5SbAhNA1RnEa3zkH4NoLCnEQKC1JxcysG\n8unUyQpFKcKUSw4cS2fokFxjzW/uxFw1VRbxcC1m+vjStcKOHz9H8+Z+uLiYFKDw8It07NgUV1cb\nXnk4BTd7D2Yut8bbPZMXJh7Ay90OsIxzw3ZMfjvow18X9CYhxZ7KsmpzIF1apvPMhEh0utrZLlFQ\nqPLf35wQQkNRLIYEfdEZvp2fzs5j3qzZ5ktBseWhFCtP8hq9if8EjaHdrvLI8EsE+2fR5+nuHIko\nnYLn67cP1GtFsLCwmIiIBDp1aoYQCoWFChcv5uPj0wawwde3JX5+esBkPa+ovaVVU9DrwGCES1cg\nK1fg7FDz5vcG923/1VdfERUVxY8//ljq2tWrV1EUBW9v7xLt3t7eJCQklLr/Ro4cOXLT63cq48aN\no7i4GCsrKwICAjh//jyXLl1i0qRJvPnmm3UtXoW4W9+7O4maeA81Db7b1AEw7Vt6fmwU761pTpFB\n5eQF+GXbSRo3unOtWpqmUVhYiJ2dKTo1NTWVmJgY2nfsxsML2nA5UQWDDuWa0UhRAmnk7IeXSx5e\nbno8XazwdjPg5ZqHt2se3VolYmNV8dQid8vebKOmMG/FWIQxGxQrJg2KICb6NAcPnqFJEx+aNHFH\nUTSysq5y+XIKqakCVS2gadNiMjISuVYumkEdYN9nIehUQU4G5JQRW2MwKny6bhDLf+1bKnq24vKq\nvPBxd75e78d7f91E22al3dTXiYq6uelJ0zSz12jnzvN88slO5iyaz6yvxpGR38i8RcBKb2Bc55/5\n/fvp9A5+ld7B8MJYCD0ezL/DenLgrCUKwmhU2XbQ76aJqPU6Iy299hMVVXefXyEEaWl5NGpkUmgN\nBiOhoZEMHdoWRbGiuNiWuLgC7OwMCKFD06xo1MiXiIjSSbIrTiPy8lJp5tWWi1dMn+v/bY6gY0DJ\nbW/BwcHVmMNEg1IGz58/z+zZs9m7d690Y9YQ1+t5zp49mzFjxjB9+nT++OMPTp06VceSSSSV43iU\nI4kZJkXQ2d7AkE4ZbD2Sxd4zrgDsOuXKpEEVr2la3yksLCQxMZGm1/y32dnZRESE069fV1S1CG9v\nA+7uzhyLyiY+1RZFbwt6V3N/IRRSMu1IybTjTGzp8Zt5ZfHz3I1YV0IhvJO5ejUNKys9R6LbE33V\nBfKP4ODkyhPDwrGxyaVXL09sbPIBk2vXVOTFlGOwvPgl/U0sdVfSnHhl6QMcOW+peevikE9Q42Tc\nnfJMP855uDvl0ujab9N5Hq6OefR87lVyCyzu4hNRjbn/3alMGXGQFx8Iw8G2+KbPq2kaUVGpBAWZ\nEmrv3n2RZ575kfDwOQDYO3sQnjeHSfOnlOhnZ13E+ve+poVfKrxkKQPp5ADj+kYytk8kvZ9/mZSs\n8gNbrPQGht5zji2H2gHQJegyjna1rwgKIVBu2PR64EA0PXo0Q1X1gI4//ohlyBB/wBpFsaJjR0+K\ni13RNAUhNAID3bFs+ywn43cVCPLLMyuDFxLsSimDNUGDUgb3799Pamoqbdu2NbcZjUZ27drF8uXL\nOX36NEIIEhMTS5RbSkxMxMfHp6whzXTr1q3W5K7P2NjYYDAY2LFjB6NHjzb/Z+jv71/vX5Pr1qT6\nLuftQNMEH/8EqZkwZwo42DWMXfw1+R5+FWL5Yp00XE/vXl15Ikmw95rB6tilJizu1rSc3vWfoqIi\nDh06RN++fQFBfn4GZ84Ucs89vkABYMuQIW6Y3FC2gDPgw8pdTcxjtGxSgIOdRkKKFUnp+ptam2KS\nnEk3dGNwp5xy7wGLRfDGv8sNEaPRiMFgxMbG9A9FRMQljEaNtm1bIIQBB4c4rKwEL35tylOkOHbj\npcdO07UzgOO1n5ph0z4/pszvTWqmRZkb1v0K3727D2/3gnJ6KYDDtR/o2S6DkKOm7z29TsNgVDFq\nKiu29Gb7sY58/uphxvWLB0wWwaIiAyEhMcyYYdpmFR2dxIgRf6ew8FusrfX4+fkzZcp32Nq6ceRi\ne2au7g4+pWsMPzoyhmH9XACXUteuM7Z/Eis3mZTBFx86i497Aau3BRAe7crALokse+MQi35oe8P9\nGQQGBlbw1as46em5ODvbmQNRfvzxAPfd1xM7OzfABk0Lolkzf3Q6GxRFT2Dg8BIBUjVgkLspmuaO\nqgYw8Kxg21FTW5ahGd26NS9xX2ZmZrXnalDK4P3330/37t1LtE2ZMoWWLVsye/ZsWrZsiY+PD9u3\nb6dr166Aqabl7t27Wbx4cV2IXO+ZNm0an3zyCXv27KFHjx4AKIrC+++/X8eSSSrDpn0wc6npODkD\nvp5Vt/LcboqKBf8LsZw/Otz0e1xfeEYxWWZ2n4CUDIGHa/1VlK9v2QCTZWbt2rU88MADKEoROl0e\nXl4gxAUUJRc7OyPdurkA5e+jEgI23VATd/nMWAbdY1Luig1wNdWK+GQrElKsiU+2Ij7Fis37XDgd\nZbJCHI+0Z3DXmyuDDZWMjGzy8grw8/NECIiIiCUvL4+uXVsARfj56VBVAUSiKAaaNRNs2ufHiQum\n19Pe1sDLD0fUqEzFBoW3l3dm8Y8WRUhVNeZNPclbj4dXeJ8ZQKfgdLMyOG18JBGXXNh5zHQem+jA\n+DcH4WcTwrYv47HTmaJ5n3/+OwYObEO7dv4EBHjh6GhD6O44PPzvITLOmYkv/5u+T3kTkzWgxFze\n7vkkppnWTO/2pfdP/pmRPRNYuckUGXHwtCf7v9rGm4+dISdPj5ODASFg+w31iIeVUY+4KkRHJ+Ht\n7YK9vQ1CKBw5Eke3bh1wcWkE2PLgg4FYWdlyfV9fUJB7jcxbXUoEkdRSRHGDUgadnZ1L/ffp4OCA\nu7s7bdq0AeDll19m4cKFtGrViuDgYObPn4+TkxOTJk0qa8i7niVLllBYWMiKFSsoLi7GycmJlStX\n0rNnz7oWTVIJ9t3g1V+1Bd56XBDkX32lR9M0FixYwP79+2ncuDHz5s27pZW9Lth6ANJNxQ1o6g19\nOpiOfRop9G4v2HfKtKdw416YMqbu5PwzcXFx+Pr6otfrEULw3//+lwkTxmBrqwH5DB0ahKKcRlEM\nqCq0bGkHZN1qWDOno2yJTTQFOrg4Gujb0aLYWemhiXcxTbyLAUuFjMYexbz0icmaeCLSriYes16Q\nkpJBQkIyHToEY7Ks5pGVlY6Pjw4opG1bgekrMRpFAWfnkv2FgAWrLEmPp90Xiadb1eoIl8WlKw5M\nerdficTNjT3zWDN3D/07J9+kZ9l0Dk5HCA0QxCfZs+Oz32nc6RD5PgvIzDVZ9BIKh9B9Wj5vPBxG\nn/bRNOsylUU/tMbapR2RcU44D05l5LvlB6042qTz1duneXGJxbL/52TTZTG0+1VUVUPTVA6dbURq\npjWNXIpwcjD5WCNinIlPNs3r4lhEt9ZVS5Z9+nQcXl7OeHq6AVZkZ9vg4tIIW1sPwJqhQ9twXfED\nsLaGP0fz1gc6/imi+M/u7JqgQSmDZfHnF2TmzJkUFBTw/PPPk56eTs+ePfntt99KZMqXlOSLL77g\niy++qGsxJNXg7CXLsdEI730Lq96p3piaptG6dWsiIy1J+latWsXRo0dp3779TXrefm5MND1pmMnK\ncZ3x/S3K8i+761YZPHbsGMHBwTg6OgIaMTHncHXVcHDQAfn83/+1Q1EumL+c3NwAqr5n73ptWoCR\nPbOwqsBf/M7BFsXw+IWGpQwajUZ01+p5paVlcuzYOe69twdCFGNjY8DNTSBEPIqSh4+PAV9fgPID\nKm4k9Jg3+0+b9s9ZWxl5/ZGzNSb3+l3+/HVBLzKybcxto3vHs3LOfjxcK65w7t17Hn9/N5o186Rz\ncDqcGQX+b3E8sgeKAlrSKh4dkkS+93t8uzEIgIJiO977YaRpAFv4flfF5nI3fEuTotcJ8v2Y5Iz+\ngElxa9X01v+suDsX0bNtKvtPeyKEwvbDvvzf0Bjz9RutgkPuuYpeX7aCJoTAaNTQ603v+bFjl3B0\ntCM4uAlC2OPmZoWtrRtCuKIoejp0CPxTHsz6p/iVhb8XuDhCZg5kZEN8sqmtJmnwURghISF89tln\nJdreffdd4uPjycvLY+fOnQ1+L4tEcivOXCp5vvo3iIip3h+61157zawItmvXDisrK4qKihg7dmy1\nxq1psnMFG/ZYzh8dUfL6hBs8Wr8dgryC2v0C0DSL8hYWFsbly5fRtEI0LRM3NyOqehkhIoAT9O3r\nhpNTCqqaiKpmoarVrw97Izcqg2P6Vsyi2DEo33x89pItRcX1061uNBq5fNmiyGVl5fK//4WgaUY0\nLVl//gEAACAASURBVA9Hx2K6dXPHlCrnIk5OyTRpYkRVs1CUyr/OC79rZz6ePDqKxp75N7n71qxd\nu4Xnnv+Aex4UPDBroFkR1Os0Fj13jA2LQm+pCK5YEcr27Ra3wCOPfMH77/8KQOtmmSj2QZB3lthE\nB9KyrFm2bArPTO3EilkHCV26ndbNbr3XzEpvxL9RAi7GX2isfMzymQc59u2vtNJPQ9XS+Xm7JVCi\nR5vUCruyR/QsvxrJjsMW78PQG9LJZGXlk5ZmsW4fPRpDeHgimuaKpvkQHNyDpk17AUEoii+NGwfh\n7NwIVdU16IToiqLQ4YYtk7XhKm7wlkGJ5G6noFAQ9afMSZoG876BNX+v+ri7d+8GoF+/fuzevZtV\nq1YxZcqUW6Zput38vAsKrgUadmgB7QNL/sUPbqLQtrngzCXIL4Tth03WwpqgqKgITdPMpcp27dqF\nj48XQUF+QB733OOBnV0qipKIokBAgMqNLtnaJCVDx/7TJo+IqgpG9qzYJnMXR41Av0KiEmwoNqic\nibalc8vqKT5VITs7h4iIKFq3DsTJyRGj0ci+fSfp378LQpiU7jNnLuDn5wAU4ehYyMSJzVGUSBRF\nYG193e1XfQ6dacSOIyaFRafTePPRqqXREQIuJ9nz8pxQ9p8IIkP3BgWqpYpWU+9cfpy3p8S+O4PB\nYM75unDhBvR6HW+8YTJvf/VVKPb21gwbZtoXMXhwG7L/n73zjo+izP/4e2Z3s9lN74U0UkgIARJ6\n74iggBUVlPNOrGf37J71d9hQ9NSzV6yAWGkKiBTpLYQSEiAhISQhvWy2zvP7Y8JuQk1CaLrv14sX\n++zOPPPMZnfnM99aq36+dFpBxugn2JKrrntbTgCXX+6KuR+SXsqWTxbw8pepvP9DNAiJ1PgGEqNq\n6RRdQ1J0LZ2ia4kJq2f79iymTXsByQ4+pqvZvs6BxaLe9BRUukRy3xa4iI9wcb9DPP2heu6L1kWi\nKGrtPZtdYvlmtTycsBaTELgRIfwADWVlDsxmCX//cMCTjIxEZNmDI65eH2eC8oVh8WsNaQmwKlN9\nnLkXxvZv3/ndYtCNmwucPQWq+APwNkBd43X7m6Xw2N/EMeKopfj7q2VIsrKy2LFjB5999hkAHu11\nhW0nmrqIJ190/G0mDHZZT39Y0XYxWF1djc1mIzg4GCEEO3bswMMDOneOAUwMGBCMRmNCTTpoenE6\n+yxa54eiqH/7fl3qCfY/dakLk8nMHXc8SXnBA6AZC8DWHMNZE4M5OQdISIji1luf4KOPfgFkvLwM\n3HTTKF555QFCQrTY7YeQZStarYXRowORpIJTznu6TP/UJXiuG5VPfIdTJ9UoCuQW+rB5TyBb9gSw\ndU8gW3ICKKvyBC4HXfPtA8QPPDjmd37+ah/9/3M1AFOm/I/t2wvJzJwOQGbmATZtynOKwSlTBrB5\nc55zjk8+uZVDh0p59NEZlJSUQ8ObwAQAtuQEMLxnc5e43kPhiRuzmDzkR4ATZuxmZHQhLi6AvLxK\nZsyY43w+KSmE7CJXQFtL4gWP0DO5giA/M2VVWkoqDGTmBhBs3MvchWbqGtQ3JzYSOseHI0QkkqSj\nY0fpONa9P5/wOx5N4wbPRFs6txh04+YCp6mLeFgPtcDET6tVK8TTH8Dc6W2b97nnnmPZsmVUVVU1\nixGcOnXqaa23PSmpECxpUq/6ulHH3+6yIfDCLPXxT6vBbhdotccXyU0L6xYVFVFZWdkYaiKorCzB\nbK4mMFDt2pGergWsSFIe0PKuAmeDplnElww4tVXQbDaTnDyOwsIaiBqAFKOKwe9/LefGS9rHv1ZS\nUk5QkJ/T0vXTTysZMaI3RqMnQtgpKSnhl18WsXlzJn36hKPTWXE4rKxa9TMffeRg2rRrgONUZz6D\nbN/rz4+rXOV5Hrkh64Tbbs4O4NOF8WzODmRbToBT1JwUYSXK8RDB9v+yce0Afv11F/9pFIOxscEs\nW+ayQt5++0jmz9/mHN91V/O7n/37C7j++icwm9W7w8OaX0GnisFtp9mj+LPPXuD++59nx44CJAm6\ndevI/01/jPAJrnlPZRkUQlBfb8Hb2xONRjA4dQffzS+CwPEsXJvEA9caKbXFOre/aICW6Oi401r3\nn4Uz3ZbuPPrpcuPGTVvY2aTtaOc4eLpJ27V5v8OWPW27c+7fvz9fffUVhsAeEP8OmpCruPHGG8+r\nZKNvlrqsooO7Q0z48UVLrxSIbEzSLK+G1Y1hVhaLxVl4HdSWlsuWLUVRzChKFV5eJoKDGxAiG9hG\nbGwtKSkyslyELFciSdbzMg7JZodF61xi8NKBpxaDjzwyg8LCGjw8JIb1dlkRF61su1Vw16791NWZ\nEEItcr1z5z7q66tRlGoUpZxBgyLQ64uAPUhSLoMGebNs2VygmN69fVmx4nV69YpCURwsWLDqVIc7\nIzSNFbxi6AFSOx4be7lpdyATHxpKr3+M4405KazODD2xEHRU4638TpjyOsNj/g/PncmE2P+LLMGk\nSf249NJ056ZPPnkZ+fmvOcdDhnTmxRevPeFan3zyv5jNCt7eWkaN6oqv1iUct56mGPTyMvLuu8+x\natUnrFz5CW+99RS7CyKw2dXkjaToGoL8mheGVhSFkhLXZ89ksvHrr9koSgCKEsmE4T4QoMYg/7I+\nHA8PX5ZvDXFuP7p3yzPn/+ykNTHa7soDm719LaJuMejGzQXOblcSHqlxkNFJ4oombbuf/qDtc/cf\nOgnvfhuRwm9Bmzqb5178qO2TnQFa4iIGNbt4wmAQjgZEQw7fr1CtFDU1VWRnb0NRSlGUfKKjzYwc\nGYIk7UCW9+LnV01YmIQs1yNJynkp/I7H6kxvqutU61tMmIW0+BMVKnaxY0cuACNHduezt12Cw6pN\nO2EHDSFEs4SZ9euzOHSorDGmz4YkWVCUSoQ4BOQybJgPfn6ljWK6lIAAG1qtBUlyIEnqQex2db6Q\nELXGW1iY+r/DcfY7oRSWGpi9zFWo/NGpO5q9Pu8XhaTxSfS+aSw/rY46enf8jLVI1Yt45IYsvnlu\nJT88/T8GaPvRz2cskdb7qNj9JMkd1S9w797xjB2bwTvv/MO5v6enBx4eLXfgHTqkWk1vu+1yXnzx\nIa4Y48pO3pXnh9nSvpf8dTtcPYSPuIg3btyHEKLxBkDDunUHsdsDUZRoDIZULrvsWiQpHFn24+J+\nZmdFkNWZ3hwo1rF+lxrnKkmCET1r23W9Fwo2mx2Ho3lYh5+3RExjp12bHbKP0zXodHCLQTduLnCO\ntgyCah08Ilx+Wg3rd7b+LrLBIrjyMShr9MpZbbD0PGoDnVsoWN/oQdNp4arhx25jsVhYs2YNQggm\nDm58Dxx1/LDSjqLsITi4iAED/JHlAmS5DK3W1ChMzt55nAl+PiqLuCXn06GDWqti1aodzP/uEzSi\nUn1B609+sRonWlVVS02NK15uxYotFBSUodGAotQRH++Fv38dRzJ4U1IEvr41yHJVoxX11J/DXr1S\nAPjhh7WMG3cb8+b9AUBGRnJLTr1d+Xl1FA6H+uYNyyjG05FJ166PsGFXIOMfHMZVz9zA3oo+zfaR\nK+by/QvLKPx+Hgfmzebtu+cw/bZtXD3iAONH+7Fq1RN88cULdO4cjtEo4+2tYeTIrrzxxpOnvV5v\nbzWR6bvvfmPZsj9Yv2YNekWtCGB3yOzMO3FXkJZitdqdNwDrdgQjKhcgHA30Ta1CUfzQasOw2SIR\nIhFZTmH8+CvRasOQZW9kWYckuX6bwoPsZHQyNa5P4t/vRzrjXHulmAjya7+WbuczdXUmzGZX5viy\nZRspLjYBzWs8dkt0PW7vjGK3GHTj5gLGZhfsaRI/37kx3CYtXuKaka7nn/6wdfMKIbj9JdiU3fz5\n37e2bZ1ngqZWwYv7QpCfhKIoLFiwAIfDgaJY0WjqCAiwI8RehmVsx8/XA8k7g7xDWnbsd1xQ1r7W\nMH+166J/aQviBQGmT38ALy8ttbU2br99JvaaLQjLAYTlAFv2GBBC4uDBUsrKShvdvKUMHBhAcrIF\nnS4PWS4gONiMwdCAJNlaJPyOx6OP3kZqagRCQElJPUJASko4TzzxzxPuY7XJLNkQzv6i06sna7Xa\nefXVhc7x3CW+sDESIRQuH1rA4YYUshzv0HfaWOb/0cG5nSQJJo3IJ3PWz9h3WZgw+BCRIQ34+Hhy\nyy0jjjlOSEgQn3/+MqtXf8rKlZ/w0ksPOWvlnQ633noVkgR795bx4INvc/iwCSOuL+2WPa3vqFFR\nUYfVqhaDFgIWLNhOVZWEogSxdkcYePcDWU/fLkYkKZL09F54ePgfI/xOxJi+Llfw54td6xvV+89r\nFaysrKGqSj0/IWDnznyKi60oSjiKEs/o0TcTGTkUWQ5rtl/aGSwv4xaDbtxcwOQWgr3x5jk6DHy8\nXL+8T/7DldCwaC38sb3lF+e3voXPFh37/Iotp7Pa9kMI4RSDouJHrhzagKKYgHLS00MQYheSlIVW\nm0dKihFZrkbvYWdcf5cw+n7F6VtJzkdyC/VkH1AtREZPB8N7nPyiarXaAIiMDGPevFdISYkkJiaQ\nCN98kA0gebI1xwHkkppqJz7e0ujmLUerNQN22jOjU6vVMGvWS7z++j3cfvulvPba3XzxxcvHFUt2\nu8TH8+NJuW48F907km5TL+FA8Yk7ZhyPXr2epKbG1HhsmQce+JKcnEPUN2hYvTMJJB1YS/h2eQwj\n7pmIFOCqWi5JgmtG5pH52Xy+fm4VafGn3yP2dBg7dihPPfU3QkO9MBg0dOjgw9WXuHomtyRusKio\nkpoaNU5UCIldu8qorNSjKJEI0ZGJE68lICCVkopI8osNSLpAjJ7QLdHUphuri/u5xGDTXtl/pnjB\n0tIKZ03MIzc55eUyihKFEMn07j2Z2NihyHIHZDkAWfY4boeRM9mWzi0G3bi5gGnaeSQ1rvlrKbGS\ns0cvwFMtjB1csVVwf5M67tePAUNj6NG+IigsPbulHMrKyjCbXTFvP//8M0v+KHFaRL3DhnDF8Fwk\naReyfIDISLkxDu3YdU4c7LpY/7DS/4yv/Vww/w9X4sioXrV46l3vg8Vi5fDhSuc4N7eQNWu2oyhW\nFKWWQYM6smnTa+TlvcnzTyQj6UKQPELJzDU0unnPXtzeoEG9mDbtGgYP7n3Maw6HxBeL4+hy/aXc\nNL0/eYdUwVPfoGPm583r+dTVmTGbXYkNAQG3snGjKx0zK6uARYvUAm6yLJOa2oEDBypYujEci1UD\nPfcj6SNYsdVlpZEkwbWj8tg+62e+enY1Xc6xCGzK+PGjWLjwHVat+oQff/wf40d4Ol87Xkbx/v2l\nFBfXABJCaKmq0mIy+aEosQiRxIAB4wgN7YQs+yHLnkiSjCTBup0uK2yvlPoWdbc5Hv3T6vAxNncH\nGz0d9E+rb9uE5wFFRYfJzMxpjJvUYbd7Y7eHoCjxCJFGcvIlJCQMQZZV97n6np5aSXdzi0E3btwc\nj6ZlZVJij33933+Hxu5cLN0Iv285uZArKBFMesJlbeyVAu89DP2bdJ/7vZ2tg2azGavVdbHevHkz\nxcXFjUHoCjk5O6iuPoiilKAoBYwaFcfCTa4fzitGOvA22lpklRjbvxqdVhU0W/YYnbFwfyaauohH\nZBSRlaUmhggBNTUmcnPzUJRaFKWM+HjBkCHeSNJeZLkQo7Eao1FN6Mjo5BKN23JPLxO1vVAUmLMs\nhu5Tx3HDswPJKfA9Zpv/zWpg1iyXqzci4k4+/nilc6zTafj22w3O8f33jyU+3tXbKyvrBazG0dz6\nktqfXZJcFklJElw3Oo+sz3/my2dWHzez+HyjW3wZQlFvprblBpCVdZBt2woQQoei+KHXd0CrjcFm\niwOS6Ny5D+HhCciy8aSdO9bucInBvl3aXkhdp1VvWpoyNL0Ovcf5Wz/QZrNTUeG6ATh0qIwlS9Y7\n31Nv73jCwnogRBegKxER/YiL691o9dO3ua9wpxicovtACVTXtd975BaDbtxcwDSzDHY89vXEKImp\nY13jJ99XXazHw2wRXPU4lDZqgBB/+HY6eOolhriqXZx23ODBgwcpLy93jnNysjl4cB+KUoWilNCh\ng4yPTxlC7AS20q+fN7///jmxsZ3w9Y2nU/JQPp3v6pk7+aKWN7H39VIY2eTC88PKC9tVrGZEuxI6\nikrM/LZ0uXM8tn8FWq0ZRSlFiAMEB5fSr58nslyILB9GluuaJcwIAWuzgpj+aRcKSozotOpdQd4h\nb6pqW1Az7wwhBHy9JIaUa8dzzb8HszPvxFZdq9dYbn71Rr78JY76Bg1xccFs2OCyBC5Y8C8eftjV\nUnH69En06hWPwyExZ1kMPf8+lkv+NZySCtdnTJYEk0fvJ+vzn/ni6dV0jjt/RWBdndlZzkUIqK04\nQIC8CYBakw6hH0CnToNQW7ZFEhmZiLd3AA4HLYrxO8K6JmKwX5fTs+KN6dfcsno+xAtaLK4b1Nra\netavz3KWSKqpMZOZeRBFCURRIggKymDgwOuArkhSAr6+nQgL69RoSZXaLP6ORqeVnEmCAFntWG/Q\nXXTajZsLmKaZxEe7iY/w7xth1kLV2rdym2ohHHWU500IwR2vwIZd6lijgdn/B9Fh6o/Y0AzXti2J\nG2xauHnPnj1IkkRiYiJC2DCby5AkCUWpxWgsoF8/I3Fx9UiS6vcICwNwuY1+/PFXrr32aWd5k3pt\nOlKd6goMDbAxspXlJyYOrmbRWlUE/rjSj7uvPtyq/c8liqKQm1tAp06xCAFWq4MlS9Zx2WWDACur\ntvti9x6OBGR0qiApNh/QAOUnnFMI2Lg7kNlLY5mzLJYDJa6LvLfB5qwjty03gKEZpWf0/I6gKLA5\nO5AlG8L5aVUYm7KDsdpbZsWVJC1W4yiufwa8DDYmXNmbSRfnY7cXo9UKevVq3mXDZpf4YnFHXvw8\nlewDx94c6HUOtnyygJTzVADW1DRw6FAVyckRCCFTUwOHD0uEhEQCelJSkunVuxNLGo2h2YWRdE06\nvcLddjts2OWKzTxtMdi3+Xd4dJ+z+17b7XYKC0uJi4sEoLq6jiVLNnD55ZcAnuh0gYSG+iJEPOBJ\nYKCOoUNxiryz2ZSpazxkqsZ+MvfCwG7tM69bDLpxc4HicIhmtaaa3jE2JS5C4h+XCt77QR0/+T6M\n7CWa3a2+8z18Mt+1zyt3wdAM1+t9U0HvARar2v7uUJkgIlh9vaGhAYvF4mxft337dkymenr37gaY\nCQlxIMtWhMhCkmzExx9xO5UDdQhxcmvE44+/gRCQmBjMyy/fxw3PxHDk0jNpZCXaVv6KjR9Yze0v\nq49/3+pDRY2GQN/zt4TFH39so2/ftEaXHRw6VEx8vC+ybEWna+Dyy6OAfUgSLFrXD0mjCuVLBhw8\n4ZxCwJY9AcxeFsucZTHsLzp+37ymhZMXr4s4Y2JQURRsdi3LNoXz0vsSm/O6UWtpWearxp6HzrqV\nrt0S2ZCb1uy1+gYdX/2awFe/JhAa0MCkkflMuSiPPqnlmK0aPvwpgRlfpjYTwABajYLdod7MXD3i\nwDkXgk1vrmprG9i+vYD+/ZNRL+H6RvdkHKAnIkJDZGRz6396UgNLNqgu9a05Bq4afnpiMGufAZNZ\nvUmICrUSGWI7rfliw61c3E+9SevXpY4uHU9dF/N0UBSFdeuy6N+/mzOub9++GmJiegAGfHwMXHHF\nYEC16nl6QlzcGV1Si+maCDQmz7Vn3KBbDLpxc4GSdwiOxMWHBUKg74kV1eN/g08WqLUC1+6AhWtg\n3AD1tVXbBPfMdG079WK466rm+3vqJfqmClZsBWGvYs7CCu6+IQEhBKWlxZSXHyI9PQlooHNnLRqN\nHtiFJEHAaYabVVWpbtAbbhjHxWMvxvZqstNwOKUVLuIjRIbY6Jtaz7qdXjgcEvP/8OOGi1s/T3vh\ncDiQJMl5sV+yZB19+3bF29uAEFYCAzXY7SXodDYkycyQIb5IUvEx8ygKzcqdXDqwuRgUAjJz/Z0C\nMLfw2Hg7gAAfCwO6lrF4XYRTEAG8+HkXyqr1PP2P7USGtL0ryeLFmWRmFvDgg5dQXu3BldNy2ZLX\nDeF30SnatwmC/Cz0SNhPp8h8Lr9IS8fQAm68/lbq7HbMWYGgLwZJvawlRtU0O8fSSgNvzk3hzbkp\nJEbVUFOvo7TS0OwIvl5W7rxqD/NXR7ItVxWjlw4sbPO5thSr1e4sLm212snKKqRHjziEgPp6Cz/+\nuJVrrx0GeKDXBxMVFYAQUUiSDh8fSElpOtuxYSDpSa6Yvm05rcu2Ph5r29FFfIR50/excbeRHslt\ny0o+GkVRmrlof/55JaNH98PDwwh44ePTEbs9Dln2QqvVM3x4Rru5c88kXZsYttuzR7FbDLpxc4HS\nNHnkRC7iI0SHSdwyUfDmXHX81Acwtr+gqAyubpIw0iMZ3n6IZj+KFRUVZGdnMyS9Hysa4wXXbq/j\nTiUPaCAmpoGYGD2SpJop27s/b3x8BIWFNbz88pcsXNcBq+M/ABjlAvqkti1wfeKQKmc25A8rzq4Y\nLCkpx9fXC4PBs7Fu2x/06ZNKSIgXYKF792D0+mLAjiQ5SEnRAKfOVt2wK4jDVWrmaGhAA71SVNew\nwyHxzvdJvDm303HdoAB+3lYuH1LA1SMOMLJXMR46hb2F3tz6Ul+WbQoH1FipD35M4ovFHbln0m4e\nmrITf5/jW4SaWrLefXcpc+du4NdfHwHgu4WVfLGwIwvyR7EqMwSHQwYP4AT6UiMrXDakgBdu30JC\n1NHCw4NZs/6Pf/1rBgcPVuAvLadKqA2q/3nlHoakl/LFL3F8/WscRWUuEXS0EA7xN3PvNbu544o9\n1Ddomf6pamHUahQu6nPo+AtrI4qikJlZQHq66uq32RRmz97E5MnDAQ8kSUartaMoMYAGo1HLtdd2\nR5JkQODhATExIac4SnMyOrne3K05hpNs2TLWNUseaR8x6KkXDOre9rmqqmrx8jKga8ywmDfvN0aN\nGoivbzhgoG/f8Wg0kYAnkgRpaQknne985egexSeKAW8tbjHoxs0FSlMxeCIXcVMevQE++FG1Jm7K\nhjnLYObXUFIBwmEiJMjIt9PBZqll4fwlXH75BIQwYTTW0bGjlsGafCAWSetP5kE9srzrDJ1Zcz77\n7CW6dr2K2loba/f2RGrsgHXLFW3vC3zZkCoee0e1oi1a50uDRcKgPzPZi7t35xEY6Otsr1ZQcIiY\nmED0egNgYdy4DshyGVCKJEFI667zTn5e7bIKjhtQhCzDrjxfpj3fjzVZx07qY7QxcXAhk0bmM7r3\nIfQezcvGJETV8e30FQSMmdTs+QaLlhdmpfHeD0k89rcsBiZks23LXm65RTVZ/O9/S3n86eUsWPY2\new9688vOK/itYDiDbx/N3oM+FJdPgeDjZ6UnRtUwYVAh3y6PJr9YdV2/cMcWHrhu9wnPOyamA7Nn\nq6btd7/3cYYAzFsewz2TssnoVMmLt29l+ZZQvvilI/OWR1NTrwZ5RYXW8+Dkndw0fi9GT/WOaE6T\n9nODu5eeUPCejLKyWoKCvJ03VXPmrOeyy3qj1XoCnthstdjtkciyHq3WgylTXP2PdTro1i3sOLO2\n/fPZKdqMQa/QYJE5eNiDw5VaQgLsbZ7vTFgGW0thYQl+ft74+HghBGzduo/U1DSCg8MBI5dd1hmN\nRhW+kiS1+Xt1vtEhBAJ8oLIWquugoAT8Tl/fu8WgGzcXKrvzXI+Pl0l8NBHBErdfIXj1KwHWQq5/\nJhq7A4RiQa7+ia/enEB0aB1C1DN2bAKQiSQJPD0hPFzG178CnTYam11mZ57htC8oLSU2tgN79vzI\nXfe+wbyCS52XxFuvaHtcUUqsheQYM9kHPDGZNSzZ4Mv4Qe1TK27nzn14eHiQkBCFEDa8vUGnq0WI\nBiSpgZ49tUhSNS2x9rWGpi7iMX2KmP5pF579uCtWm6s0ipfBxoRBB5k0Mp8xfYrw1J+8bqCft42O\nkbXOmMKU2Gp256vWxYoaPf96oydB3rGU537Jov1D2FfkTW7B1ZiSPBh4a5OJgmB15rHzS5KgX5cy\nxg8qZOLgQlJia/h1fTivfp0KqAks08a33Bd22ZBC7pjRByEkVmWGUFzuSXiQGY1GMLJXCSN7lfDW\nAxv4bVMYsiwY0bMED13z9+BkrvYTkZl5gOTkCDw8dICGtWsLGTGiF56e3oAHo0eHo9H4AlokSdC7\nd2SLz6k90Giga0ID6xut4VtzDIzu07aM3YoajbOouVYj6JHc9rIyp6KphTkrKxc/Px+iosIBHVVV\nEh4e/nh5RQEGhg7tAbi8Gu3toThfkCSJrgnC6aXZvg8GdTn5Pi3hT/p2uXHz56eZZfA4NQabsmXL\nFhwOBw9NAS8D0LAbW6NvWJL1zHhqECN67kKWC9BoKjAY7MfUFzN6Cnp3dv3wr9jqzdkiPDyEi6e8\nhUC16PRMric51nKKvU7OxCGuIPrWlphp2kR+9+48Nm7chaIoKEoDEREehIVZUfvz5hIV1UBAgAlZ\nrjmtNm0no7DUwNYc1fKo1TiY/lkaT7yX7hSCWo3Ck//IpOTnb/ni6dVMHFx4UiFYVOSqMZgceQCx\nYwxCCB6csoO37/8FYXbVtCivC4bwu/l+RTSZuQGYLCdPrfT0sDN+YCHvP7KWoh/nsfrdX3jkhp10\njlN7KL82u7Nz279fuhc/75Zb5sICzQxJV5NchJD4fkX0MdsY9A7GDSji4n6HjhGCZovMrxsinOMj\nYtBud+BwuLZdvnwX5eX1jYkbvshyCHZ7ZGO2aRKXXHIFBkMMshyILHvj7x9w0pp9Z4PuTeIGT8dV\nvL5Jsen0JFO7WdTr6kzNyiStW5fFjh15KIoXihJEaGgafn7dESINSKNLl4sJDe3W+B4b2rWEy/nO\nmWhL57YMunFzASKEOMpNLBqzctUfw5UrV5Keno63txdCmJHlWmy2PEL8Hdx5pS8vfTHaue+U4yJe\nCQAAIABJREFUiyq495qSFl2khqTX8cd2VQT+vtWbK08zK7E1fPmLK7v0uosqT7Jly5g4uJqXPlfj\n4X5a5YfD4SrQ3RSTyUxNTR3h4cEA5OQUcPBgKUOGqNnSsbE6ZNmBJOUgScppJ8y0hQVrXNYsh0Nm\n+17XInqllPPhY2vpmnDiv9XLL8/nvvvGoNVqMZnMdOhwN4cOvUF4uD99utpYWL8FbIfIzA1g5j37\n+f7Dxxl45Sv8d14fyqo8j5nPx2gjoUMtCR3qiO9QS2xYNYt/eI+83SvQmAuo26SlyxX/JCwwo9l+\nu/J8WbRWtZpJkuDuq7KPmftkKIqBN+9VOFBiRpbB3ycFszm8xftX1Oj59v/sCMWE0ROiQ9JpaIDK\nynq8vAx4eOgBiZ49R6DRaDCbVXtKYqK6f5Pa6ecdD0/WccVg1ZoeGuCP2ez6ux35bJvNp04uiQvz\nYOEMdZ7IEAWzOeYUexwfu92Bogg8PLSNZZIsgIaGBiMg07VrMpKkwWJRf9d8G8M8rVYFOL0bwQsN\nDw8Pp4UUzkxbOrcYdOPmAkDtxiGcPwjLV2dTVxuBpPUl0BfWrfqZvn17EhoaADSQkOCFTpfPkSSE\n7t29AFUMPDjFxKcLAymp0JHRycS7D+e32FoxNKOWF2apF9fTtQzW15v45psFVFfX87e/XUVGxol9\nHYvW+vLbZtVVKUmCa0eevhjsm1pPWKCNkgodpZVa1mR5Mah7PZWVNezdW0jPnqmARF1dPUVFRYSG\n6gAr8fGQmOiLavkDQzvE65wusxa64gQE6h/T08POszdncu+k3Wi1za03V131X15++Vo6dlQ7bzz2\n2GzS0qIYO7Y7RqMnvr4GVq/O4core5ORXA1dfgFtINty1M/fwgX3AgXcfe0h3vjKm8paIz3TdMRH\n1pHQoY4gP0uzz9Tdd/8fhTuynRecqioH9903kzlzXiQqymWJe322Ky12wqBCEqJclqJToSgGLJYB\npCaE0yXxyMENQMutvpGeEBl6ZD+c+54Pf+PTJT5K/efCVU7I81g9f0JSOqr/VNrvjfkzvMdnAiEE\nZrMZvV7v/P3vluh6vb3EoNtNfAaoqKhgx44dKMrZ6+Pp5s/FwYMHqalRa5sJIfjll18oLDyAojSg\nKNXsO+Ry+XSOMzF+fBxhYSWN/XnziIwUeHpamnWXOEKQn4M172Xz5TP7Wfl2NkbPlrt5BqTVo9Go\n22/fa6Ci5jimtBawfftuOnQYxbPPfs3rr/9Ez55/46GHXjjutrX1Mre95HL3XTeq8rTqmgkhqKsz\nIcswYXAVwl4JFd/z3Qo/FMWMXm8lLExGiINADiEhh+nRQ4csFyHLZWg0dUiS/Zy5+5pSZ9Lyz1d6\nsXp78+j4gV0P8cc73/GvybvQagU9ez7B3Lnrna8vWZLFN9+sc4779k3g8GFXLb3Kyne48kq1Mnl6\nUiWSVzqS7Mm23ACaJi/6etm5bsRm7pi4iutG59O3SznB/pZj3pt161QL3223XcqCBa/h66vDahV8\n9dXPzm3Kqz2Ytcglau+95sRJI8fDau2Kp2f4X8ZV6OavgVrn0LNZy860JjHiu/Pb5zhuMdiOmEwm\n0tLSCAoKIi0tDb1ez3vvvXeul3XB8PjjjxMWFkZAQABDhw51iqG/Art376agoKDRAminuroYk6kA\nRTmAEDmMHh1BdHQFkrQTWc6lxhGCpFX9Jp3jTMiyrVXxSHERVq4dVdkqIQjg46XQszFgXAiJldva\nZh285JJ/Ul1tRa+XCAkxIATMmDGXpUtXH7PtY+9GcqBED0CQn51X72ld3TdFUSgsLHGOzWYrixev\nQVEsTBhUBBp/CBzPjyu9gP0YjYeJjhZnNMbvdLDbJXIKfPh6SSzdpl7C2/OSodEaKEuCt/61ntwf\n0/jig0+d+1RVmZg/39VH8NZbR5CU5HKfrlr1JFOnDnaOm7qkYsLq8fdR3XKVtXoKSlpfp+5IiOXw\n4f0ICwsiNFS1uNXVuW5q3v0+iQaLajvM6FThjP1rOR5uIejmT8nRn2sfL4m4RoO6vZ3q5bvdxO3I\nsGHD2LFjh3Nst9u57bbb6NGjB7169TqHKzv/mTZtGh9++KFzvGLFCuLj4ykqKsLjbPb6OUPU1tbi\ncDicXTq2bFHranTv3hkwExhox8OjEiFqkCQLnTuDJJmB42fM7sxz+XVS49peALgtDEmvcwaR/77F\nm4mDW5cVa7VaKSxU95k9+1kSE2MZP/5e9u2r4NtvFzNy5EDntqu2efHWt6HO8Wv3FBDaggzmHTv2\n0rlzx8babBJZWTmEhxuQZSt6vZkrrogG9jGql4yPMZW6Bh17D/qwM8+PtPj2zfJtKzX1WrIP+LI7\n34/d+b5k5/uyO9+XnEIfZ4u4pghzHjdNsnL75Tl8+WoIe/a46uO98cZUwsNd/XxffPHaFq9DkiA9\nsZLlW1TxuDUngJjw1mWQBgcbOXzYxN///hShob7k5alu/kGD1AxQq03mf/M6Obe/Z9LuVlleKyrq\nEMLaKnenGzcXMl3j1cYD7YVbDLYjGzduBODFF1/kzjvvJDIykurqambMmMHXX399jld3/qIoCh99\n9BEAAwcOpG/fvsycOZPy8nJee+01HnrooXO8wlMjhMBmszmFa0FBAXV1daQ0tgYoKSnEaq3D1zcW\nsJCaqkertSJJO5AkCHXqnZa5P3c1E4NntnXT0QzNqGXGl2odtBVbj9/G7GRotVokSe2IkZOTT0RE\nCNXVqrjw9HQJf7NFYtrzrjTpSwZUM/kEiSNZWbkkJETh6ekJKNTX12KxHEavdyBJJsaMCUaSji0T\novdQGNe/iNnL1ONMemIwc/+zgtSO7WOVrjcJVm+24mEIxa6oLbwaLFpMFg0ms7ZxrMFkUR/Xm7Xk\nH/Jmd75vsyLJJ0OWBI7ardCwm+tGq4kAv//+eDPr3rhx6ad1Ht2TmovBCYNbVnLlCC+/fD+33TYd\nk8nhFIJjxqQzerRqjZyzLMZ5vuFBDVw7qrnvy253UF1tIihI/bwdPlzDhg15jB3bEyEMaLXeKIpb\nCbr569A1EX461pHSZtxisB05Ugk8IyMDo9GIv78/1dXVmM1n92J9oVFVVeV875YvX45Wq2Xu3Lkc\nOHCAnTt3nuPVHZ/a2lqqq6uJiopCCEFOTg6lpYcYMKAXYMHHpwFPzwaEyEaSzCQkOBqtVAUA6PVt\nP7YQR4nBM9zH82gGdatDlgWKIrE1x0B1nYyfd8vjY2VZpmfPjmzYsJ9//esDZPkDFAV0Oonbb5/i\n3O7ZjyPYU6Cep4/Rwf/+dcBpLdqxYy8REcEEBPghhIIs27DbyxFCIEkmevfWI0kt6yoybUKuUwzu\nzvejz7SxvPfwOiZflNficwK100f2AR827Api/a5gFvwuOFAWh5BO4499AoK8q/BQsomLrGVN7igk\n7wz8wrswsJvaYkZu5yJr6UkuEb4tp/Xp0l27JvPDD68xe/Z8qqvrGDAgg6FD+wLq5/m1b1IQwo4k\nabnjij0oDjMbtxXSq1c8QkjU1zvYvPkwI0fGAXr8/aMZMaI7YECSBL6+YDa7MxDc/HVo2pauPXCL\nwXYkIiKCQ4cOcfHFF+Pr60tVlZq9ec0115zjlZ2aH1YKFq2FeyZBSuzZjbsJDAxElmUURaFLly50\n7dqVAwfU1mbn0r3ucDjQNNYaKS8vZ+/evfTu3RsQmM2VVFYWEBkpAWYSE20kJfkAqnvL3+mRa//q\n/CUVWipr1a+uj9FBh9NsEt9a/LwV0pMa2JxtRFEkVmV6c8mA1lnSfv31Q4YOncq2bYUoCnh5afnk\nkydJSlIjo1duUnhplsvqeMeYRdjqFYQ4UshZQqOpQogqJMlMaipA26x5o3oX8+m//+C2l/qoVjuz\nluufGciqzBBm3r3pmM4coAqYAyVebNgVyPqdwWzcFcim7CBqTUf11j2dr5JioUtCAymxNUQGlBDs\ndZCxw/SYKtbw6EPTMZsV8qofBZ3afu3ivkXotGcmvrGpGNya27baOcHBAdxxx/WAaunbti2f7t1j\nWZ0ZwsZdXlA+G32Ha7h5fCmyHIGXlwZFiQO0+PrqGDWqu/NmQJbVTh2n05XDjZsLma7t3E3PLQbb\nkaVLl9KzZ08aGhqcQnDKlClcd91153hlJ+dwpeCaf4PVBtty4I9zkPPy8MMP8/zzz7Nnzx727NkD\nQFxcHHfcccdZOb7dbqe0tJTISLXGWVlZGStXrmTixLGAGaOxjuhoEGI3kmQmOFghJMQTKD4r62tK\n03jBznHmc5LVOiS9ls3Zqlvv9y0+rRaDfn6+bNnyHWvWrKOysppOnTrj4aFTe7XaJW55RsFhLkHy\njGdIeiUP3WTB01MAOUiSndjY9hUBN1y8n/SkSq5+fDB7CtTEnHe+68TGXUF889xKPHQKG3cHsWl3\nIJuzA9m4O5DSypZZojpG1FJdlkNleSVBAVaGD02ltLiYlcu3cO89QzDqHVSUlfL1l78x/f/GExHU\nQFJUBfGRJjw8jv7j1jN8+IuYzQoGgwaTNB4atWrPhG3t+I40p3NcDTqtA5tdw/4iH6pqdads02Yy\nWTAaVauooijMnbuBK6/shyQZkCQ9VmsdihLFzG/SkGRPCJnM9WPKCA0MQpKgc+fQk87v5tzSr18/\nrFYrmzdvPtdL+UvSKRo8dOp1uz1wi8F2pHPnzpSVlfHOO+9QUlLC+PHjGTRo0Lle1inJ3Ov6QK3d\noYrDkICzqzCmT59OfHw8r7zyCg0NDQwYMIDPPvus3d1dR7DZbGzZsoU+ffo0xvuZ2bVrC+HhOsBM\nQICJiRPjnDF9BgMYDBrgzLVeaik797tEyNmOFzzC0Iw6XvvmSNzgqTOKzWYLVqsNX191223bcrBY\nrAQF+RIc7IWfn0CjaUCIg7zyVRzZ5RlInmqtvPcfWUlAwJlPkumaUMW6DxZyw7MD+Xm1WpBt4+4g\nEidNRIiWfR/CAhvo07mcrHWfsS9zJXfeWMcbM29j+vSPePzx30gb7sE3z31IXZ2ZqVM/YsadLuvn\nm492BnKbzHbsMYuLy6ipsSFJ8MGnb9Plb6qrFeFArv4GuKSNZ39yPHQKqXHVbMtVC39n7g04Jts3\nL+8wUVGBaLUahICff97OpZcOxNPTF9Bz0UWRSJIfkiQjy9C7dzj7izz4YaWrmPi9k0rPi5I95xMt\n+Q2UJImPP/6YqVOnnoUVuY7p5tyh1Uqkxgm25rTTfO0zjZsjGI1G7r///nO9jFax96hY8OVb4OoR\nZ38d06ZNY9q0ae02n9VqdSZ0KIrCt99+yxVXXIEk2ZDlBgyGBhRlP9CAp6eZESPCkaQD7Xb8M8Wu\n/KaWwbObSXyEwd3rkCSBEBKbso3U1sv4eLncqVVVtVRV1RIXF4kQUFRUTlVVJenpcYCFzp090Woh\nLy8XUAgNVQNgdufrefbjVOc8z96cSVJ023qoAigK1DVoqanXOf9V13scNdZRXacjp8CXTdmBlFQ0\nt/idSAhKSg0+0gZuuNyXjE7l3DTpFnaX/hs/PyMzZy7l/hW/8duvMGFCJsXFtcTHQ2qq2q3B29uT\nefPuafX5eHrqG9cEXy/ydq7NS6whyO/M3hikJ1U6xeDWnAC8HOvo1CkckJEkHUVFdoKCAvDy8gc8\nuPpqta3cEc3gCp1w8cbcEBRF3WB07xq6xLvjq4/m888/bzZ+9913WbduHR9//LEz1hpgwIABZ3tp\nbs4xXRNwi0E37cfRYnDZpnMjBk+XQ4cOERISglarRQjB3LlzueyysY3uxQZGjUpEkrKQJDuyDF27\negMtSzI4n9i1v7mb+FwQ6Ouga0IDmblGHA6JxattxAbsplevLoDAbrdgsVSjKB6AmY4dG1BFgyq2\nXdWCXAJSUeDmF/pisapxmr1Syrl3UusKDx/h88VxPPVBN/IOebfYqncqhDkfndZGv5hZ3HiFzE2T\nnyU0SRBU35t/TLybxwNr2bhxPyNHduGee25k69YctmVVkXfQCy21dOniw4svPnhaa/D396Fjx0D2\n76/gv7MkaKwwEyQvYPz4ke1wli5qaxvQ6TTODG+DeTHCMgFJH8XWPeFM6J2ALIdhsxlQFJn+/ZNb\nZdWrqZf58Kdg5/jea1pbV/CvweTJk5uNf/31VzZs2NDi8COHw4GiKOh0ulNv7OaCIq0dk0jcRafd\nsO8oMfjbpnOzjtayb98+TCaTs1VbdnYWJlMRinIQIfZy3XVpGAz7kOX9yHIxAQEKsnx+dI44HXae\no7IyJpPrWFVVtUTr5jnH63b70aGDFiEOADkEBR0mORlk+TCyXNuijh3/m9eJ1ZlqnJhWo/DBo2uP\naaN2KhwOiQffzGDqswPZX+TTJiHobbAxuHsp+oq3+MewrxiQ1ihScqZgqy8iu/5+ElIGEBoRRJ2S\nxoa9fXhzbidufHIVn/0xjVF3j6TLlAl8X7SXTM8asjyLqIzO56Fnv8LLq/UFm4/mnXeeJiY2lBr5\nYudz0x8MJjDwOKa3VnDwYAXl5aoVVgiJHTtKKC2VUJQwFCWaCeP6g4faAzlzbyBxccl4efnjcAiE\nOLbTzan46Ocgak2qmk2JNTOm71+nyPyZIjs7G1mW+e9//8trr71GYmIiBoPBWdf0+eefZ+DAgYSE\nhGAwGEhPT+ezzz477lwLFixg2LBh+Pr64uvrS58+fZg1a9ZJj79kyRK8vb2ZNGkSDkc7VUN2c0Ka\ntqU7XdyWQTfHWAb3FEBhqSAq9Nyqprq6OnQ6HfrGOiy///47iYmJREaGIUQDBoMVT89KhNiLJJkY\nOjQQSTp8Ttd8pimv1lBaqd7hG/QKseHWU+zRNhRFoaSkgogI1XJjMpmZP38VV145FDDj7d3AdVfF\nMf85dfs1OwN4OVKhrdnT+cVePPqOqxbeo1Oz6JZY1ao5auq1TH5qEAvWdGj2vJfBhq/Rhq+XDT9v\n1+Oc7BySOhpITfbB18vGs0/8jymXefLmywPQaAQxMU/hUZnO7/8TPPdJGs/MeAT0URyu9mP4naOh\noyoSF+6DhTNPcX6Hoxl6ZxS3XZ7D9Fu34ufd9qjvClMMSuJGlBK1i0dMWB3XTQxr9Tz79qnr79gx\nDNDR0GBEknxRlAhAT9++nQFXV5u+abIzTixrnyc2O+jaeAVxOOCNua4EkbuvLuUMhQf/JXnvvfew\nWCzccsstGI1GQkLUdoUzZ85k0qRJTJkyBYfDwXfffceNN94I0Cze8P333+e2226ja9euPPbYY/j7\n+7Nt2zYWLFjADTfccNxjzp8/n6uuuopJkybxySefuGMKzwLtWV7GLQb/4gghjhGDAL9thhsuPvb5\nM0leXh5eXl6EhIQghGD79q106BBCVFQQYCEjIwBPz8NACZIkSEgQQA2yfH50jDgbNK0vmBJrRtO2\n1sDHn3vXfpKTYxvrIcps3ryTMWMykGUbnp4NXHVVLJCLJKmlPUb3rXPuu2FXICazBqNn660BQsCt\nL/ahvkEVualxVTw2dccp9mrO3kJvJj48lJ15LuvY+IGFzHpqNb5easeSm2/+kLS0Dtxzj/rBTk5+\nEFkTw7Mz7gLg968246ONRKPpD8Bvvz1GRIQfGo3g6Zu2E6hr4F/v9OPU/U9ceHrYUYSE1aZBCIm3\n53XihxVRvHH/Bi4f2rq2ehU1Hjz3cRpvfZuM3eFSTteOzj+uVc5qtWO12vH2Vj8ze/YcorLSTJ8+\nyQjhha+vEUkyIEQQkqQlIeHodobNrbIBvg5iwy3kF+ux2mR253vSNaFtlukfV/mxv0i9yQvwsTN1\nbHmb5jkdJElqFnPX3uNzycGDB9m7dy+BgYHNnj9w4EBjYXaVu+66i2HDhjFjxgynGKysrOS+++5j\n4MCBLF26tEXu5W+//ZbJkyfz97//nXfeead9T8bNCYkIhkDf9pnrgroXe/755+nTpw9+fn6EhoYy\nYcKEZu3fjvD000/ToUMHjEYjw4cPP28LF58PlFVB7XESZM+Eq9hqtdLQ4Ep4yMzMZOfOnQjhQFHq\ngWqEKEFR9iHETvr1MxIdXYcs5yPLxfj62vDwcLSqB++fjWZlZWJPz0W8ZctuGhrMCAFCKFRXV2Kx\nlCFEMZK0l3HjQtFqC5HlksY+vc1dvSEBFlLjVOudza5hTVbwCY50cr5b1Y1f1qslfSRJ8MGja49b\n2+9E/LYpjL43X9xMCD58/Q70+ddw5+1vOp/bv7+UL75Y4xzfdNNQ0tKinOOffnqAl15yxWElJIRh\nNLre77unGlg68ys6BqxElix46ytJTyrn0oGF3DIxh6dv2sb7j6xlwSvL2PbZfMoWzqF+2Tfs+fpH\nLhnguuMqKjNy5WNDueLRIRw8fOryNDa7xH/nJNPpmgm8PrtzMyH4t7F7eeamTACqqurZu1ftwSwE\nHDxYw44dFShKEIoSSUxML9LTRwKJSFI4wcGxBAWFIsuaFn+n0pNc39+tOW13eb/2jcsqeMvEslb3\nyHZzciZNmnSMEAScQtBut1NZWUl5eTnDhg1j586dWK2ql2HBggU0NDTw6KOPtkgIfvnll1x77bXc\ncccdbiF4lpEkiW7tVG/wgrIMrlixgjvvvJNevXohhODf//43o0aNYteuXc6ery+++CIzZ87k008/\npVOnTjzzzDOMHj2aPXv24OXldY7P4PyjqVVQ7wGWRq/jsk00dnNou+oqLy/HYrEQGRmJEII9e7JR\nFAtpaQmAmfh4LRqNDdiGJAni4gDsgKXNx/yz07SsTOdWdh5Zvz6Ljh2jCA72RwgbXl6gKOWNnR8s\n9O1rQJJaZ6EZklHqFGG/bwljZK+SVu1/uMqL/3xxkXN8z6Td9Etr+RrenNOR+9/o5xRIkrDw6VMb\nuX5MHrdnGpg/f6tz24cfvpT9+11hBA89dGmr1gowuG8ge38+gBAHWnxDEhNu4seXljNnWQz3vNbL\nma38/Ypolm4M5/nbt3DbZTnHuEmFgJ9Xd+DBN3s4ax+qsXkaBncv5Ykpy9DZsvDQpaEoBhRFh8Ph\niaLEAB7ExemIi3Nl87oMQm0XXt2TGvhhpfr33ppjaJP3YNNuAyu3qSV1tBrBnVedm9COo6147T0+\nl8THH99/OGfOHF544QUyMzObxfRJkkRNTQ3BwcHs3bsXgC5dupzyOHv27GHq1KlMnjyZmTNPESvh\n5oyQ9lcUgwsXLmw2njVrFn5+fqxevZpLLlHra73++us8+uijXHbZZQB8+umnhIaG8uWXX3LzzTef\n9TWf7zQVg2P6qCKwrgEOlKiJJQlRJ973aIqLiyktLaVr166AA4ulEpOpAkWxAWa6dLEDEpK0DwDv\nU5enc3MUzXsSNy8rI4RAURRn15S1a7cTGhpEXFw4YCEmxoiXVxVQhiTZ6NQJ2tq14whD00t557tO\nAKzY2voiwU9/NpbqelUcdYys5bmbT1w42Wq1k59/mKSkCGx2iYFT/NlY6Cqn4etZhSVzPNePuQ2A\nxx+fyJQprtdHj+7a6vWdiNbeI0kSTBp5gNG9i3n47XQ++DEJgFqTjjtf6cMXizvy7sPrSItXQx62\n5fjzwBvpLF3riaRrFIL2KsI0C3jzuQQuH1qF3R6MyTQUCECSZAIC4DjGoHYlPcnlRtiW07b2b6/P\ndn1OJo2oPOsddP4KGAzH/m2WLl3KNddcw8iRI3n//feJiIhAp9Px/fff89Zbb6EoLbfGHyEqKoqQ\nkBB++uknNm/eTI8ePdpj+W5aQXt1Irmg3MRHU1NTg6IoBASo7ZH2799PcXExo0ePdm7j6enJkCFD\n+OOPP87VMs9rmorBTjEwpEk/+2VHFZZXFIW6Olec2KFDh1i0aBFC2FCUary8TISFWRFiF5BJREQ1\niYkaZLkMWa5DkpS/rHu3vWhaYzDEWEhJiWpFEwLWrs1i5879KIoFRakmLc2P6OgGJCkHWc4jPNyC\n0diAJNna7e8wNMNlCVy3MxizpeU/Ke9+n8jiDZ2d4/ceXodB7xIGu3Yd5NJLX3GOFy7cRrduj1NR\n48G4B4azsXCc87UeyeVs+Gghuzde6XwuKiqQQYOSW31OZ5IAXyvvPbye5W/9SnKMK9Z1TVYIGX8b\nw8jrKxlzRxQ9/j6OpRtCoFZ1a/t62Xnxrkr2L0vmyuE6NJoQ9PpAAgKCkCQZSWq9QG0LR7uJW2sM\nKzqs4+slLsV6j7uczFlj7ty5+Pn5sXjxYm688UbGjBnDiBEjjnEFJyQkIIQgKyvrlHMajUYWLFhA\nfHw8Y8aMYdeuXWdq+W5OQHslkVxQlsGjueeee+jRowf9+6sB38XFxUiSRFhY88y6sLAwioqKTjrX\nxo0bz9g6z2fWZ8YBQQBo7fkkhcpANABzFpUQIW8kPDwcUMX3zp1ZDBnSA1k2I4SJDh0a2LVrNk3r\nxZWf5VjwP2tMqMlkwW634+urhjdk7iihYB9I3j3QaRxYarewZ4+dujofJMlOaKgZSbKSl5d9VtfZ\nMXwY+4uDsFg1fLfESt/Opy7cvXZXLHe+lIoon40UPIlJwzZjPfw9Ot3b5OQ8DUBpaSXz528lNzcX\nWZaJjtZj1SSQMXU4BYdd8Ynj+u7gxZt/ROOw4wD27Wt7keozjaIoyLJMlO8+5j21gUdf0bNg913Y\nFQ8cio5l23qATz8kSUKSPZCDxnH10Gz+OSGTQB8L+/ed2/ULAT6GTtQ2eFBRo2XZ6jwiGrVdS76H\nr3/XHbtDVa0ZiaV4iY2019c3PDy4iSvczdFoNBokScJutzuL8R8+fPiYcjHjxo3DaDQyffp0Ro0a\n5dz2RPj4+LB48WKGDh3KyJEjWbVq1Qnd1G7aTm1t7XEFutUiQ/TpmwcvWMvg/fffzx9//MG3337r\nTmE/DQ6W6Z2PIwLqCdKsc4435XpTXJyHXl+NwVBKREQlI0YEodXuR5YPodFUo9FYaSoE3bSdmpp6\niorKGkcSVVX1lJVVoNNZ8fCoRzJ2AKPq6owLL6djXC0dOjQgSaVABZJkglblurYPfVLinZv8AAAg\nAElEQVTynY/X745t9lpT11NdnYVhw14jv8SXu/57FXahg9wbSemwn39fv5iEhGAURXD4sCrmoqMD\nGDkyGbPZjhCwOrsXXv02NxOC9165nNf/OQ+D/uyfd0soL6/HbnfFZi1YsJv6egkIRKcN4oGpEm/c\n8gkak2oBlHwHNGZzg67+F+Y9NZ9/T9lAoM/5EUcrSZAcXekcZxcEtHhfk0XDnBVJzvHUUW4r0tlk\n/PjxVFVVcdFFF/Huu+/yn//8h549exIdHd1su4CAAF599VXWrFlD7969eeGFF3j33Xe58847jymA\nfYTg4GCWLFmC0Whk5MiRFBa2LlPeTdsx6tvn+ntBWgbvu+8+Zs+ezfLly4mNdV18wsPDEUJQUlJC\nVJQr2K2kpMRp3ToRvXr1OmPrPZ9omhQihCA/ZyFCcxGSpGHciDgqi0t49Rc7VXVaKuu96Dd8OGlt\nLB9xpjliiUhNTT3FlucnFRXV5OUdIiMjBYDy8jLKyw+TlBQMNNC5swY4UsxXz6rsWCRZdemkJzec\nN3fflw5p4Jvl6uOlqyw8/88oPD09UBQFvf7v5ObOIDZWrXN28GAN0/4zmMo6I5IMmsibefyqD+nS\nWXUXV1a+g7+/K9Hr11+f4KdVHXh6Rje25rjci0ZPO58+8QdXDj8InB/vA0BBQTmBgV54eXkihEx+\nfi6Jian4+QUCHtx++0VotR4cqd+XmAi//PIq9q2345P4TwLSXsbfy0Tm/MlYqxYzIOMXgoM7nOqw\nZ5X+3SU27lEfl5uTATXW5FTfwztmRFNVp5ruYsMt/PM6H7Ta1n93TSYzVqsNf381CWX79lxMJgsd\nO/51gpBPZgCRJOm4r48ZM4YPPviAl19+mfvuu4+YmBge+X/2zjs8qjLtw/c505NJD+kNQgidEEpC\nl44IiICKKOKCKIKo62fXRUURFF11LSiCWFhddRUUUECk9y4ttDTSSSdtMuWc748TZhJJSAKh7tzX\nlStzzpx5553+O+/zPL/nuedQqVRMnz69xrEPPfQQgYGBvPXWW7z++uuo1Wpat27NY489Vuc8AgMD\nWbduHX379mXQoEFs2bLF7m/o5PJxc3OrU6cUF1++vdoNJwYff/xxfvjhBzZu3EhUVFSN65o3b05A\nQAC///47Xbp0AcBkMrFlyxbeeeed2oa76SksLMTNzQ21Wnmpv//+e4YPH4qrq0hZhYlCqTOoBNQq\nmTD/40SGeDCgSwk/bVLO+Dfsd7tuxeD1jiRJlJSU4+Gh/EgVFZWwbdufDB/eG1m2oNPZaNZMQJYz\nEIRyfHys+PoC5NU63rEUD/vlNhGX/uHPzs5jwYJ/k5tbSFRUOI8+et8lt6p65JElTJg0FugFwOHV\nM1mxcgR3juuCKIro9RpWrDjIo48ORpKg9aCPOZbbAkENWo2NpYs6ERvlSFw9LwRlGX7dEcQrizqy\n74RPjfsM9S/j53mbiGlVyLUmMTEHDw8XfHzcADUFBSIGgxcGgx+g55ZbWiMIjsQ6pWK4ZqKdEoaT\nEXMXcuSrcRw8mEDff68BQHOprs5XkL8WkYyNq/82K7e588kyhzB4eXIW6gY+tLy8IgoKiomKCgcE\ncnLOUVxspWPHSEBPdHQLVCpXzOb/jY4XS5YsYcmSJbVeFx0dfdHOH5MnT2by5MkX7H/44Ycv2Ddy\n5EhGjhxZ51g7duy4YF9ERARnzlz//d2dXMgNFSaeMWMGX3zxBd988w0eHh7k5OSQk5NDWZmj68ET\nTzzBm2++ybJlyzhy5AgPPPAAbm5uDe7jeKOTlpZGebnyZS3LMvv37+HcuQwkKRtJSuaOO9pgNCYh\nCKdIyc5F0AYgCCIRgZWc1wP9uzhyrjbsd7uq81+7y40Fy3wpKmlCN+WrhNVq5ciR04AiZioqzGzc\nuA9JMiFJ5zAay+nXLxA4hSAk4uqaQ2ioVKuHX20kVBeD4ZdWBXz6dCpjx/4fK1fuZdeuRJYuXc+Y\nMY9TWdmwMOQtt8zh++932re//34X69eso0VQ1XvGawRb9zu+VhIS3mL6dKVn7suLOpJQOhVBrViT\nfPrMrhpCEJTnbfXOQHo8NJSRT/evIQRd9FaemnCM/Ut+bXIhKElSrdWUNpuE2ewIQR87lsGpUznI\nsogkuaBS+QLByHJLIIqOHXvi6xuBKLogimINIVgXDzwwFq1WoLjYjLf3LfTr9wgAUVHN8PBoIkfZ\nJqR6Ecmfp+uvKM4pUDPlDUcE546+RUwa7ugJXlpaTkqKI6c7LS2HNWt2IstaJMkNlcoPnS4CWW6J\nLLcjImIYnTqNQBRDEcVmaLVeqFRaZ7qQEyeXwSWddq5Zs4bFixeTlJREYWHhBf5KgiDYvYqakgUL\nFiAIAgMH1mzI/vLLLzNr1iwAnnnmGUwmE48++iiFhYXExcWxdu3aq+oxuOOIzJ+n4N4h4OZ6Zb+g\nTp06haenJ76+voBEfn4GBkM5er0OKGfAAF8UKxHl+Oq5wIkZjnzByGCHGBjQxVExvPGAEZuNJu10\nURf7Txi49f9aIssCry8J4KOn0hjd9/rtLiJJEr//votBg+IQRRGwUVpahCQVAErl7qhRAUCyvWvH\n5djpHEtxCIO2zS/teXnxxfcwmSSMRjWdOrVg166TZGaW8M47n/PCC49QUFCKyWQhKEhZGW7f/jmG\nD+9kN2POzCxk2bK93HVXPAD33deLkBBv+mrOkpTphtD8n/hHHwQUM/iQECW0+926cOZ86bB2+fv4\nBCYNTyapqiBClmHdngBeXtSRnUdrhpb0WiuPjDnFM/cew9+7aVep8/IKmTHjNZKScpFlCAjw4PXX\nHycmJgpZhkOH0hFFLR06tAZ0BAZ6oVbrAXflJCri8ucQGhrIt9++xsSJL1NerqzqRER48ccfn1/+\n4FeAthEm1CoZq00gMUNPaYUGo6F2exhZhsmvh3A2rwxB7Umgj5m5Uw+yZs1Rhg7tiSzrsFhEzp0z\nIUnBKM9xK4KCBgEaBAG8vAS8Gp6a6MSJk0ug0WJw/vz5PPfcc/j7+9O9e/cqT7mrQ0N9kGbNmmUX\nh1ebxHSZ/o+C2QJ7j8Oi5y9vPFmWsdls9jDv8ePHUavVVeX/JrTaiqrKXqWAoFMnDYJQCpRefGBq\nisEWwY4et63DTQT4WMjO11BUoubgKQNdWlfUNkST8v16L2RZUa1Z+VrGPB/JuP6F/OvvaQT4XJsC\ngYoKEzqdtkrswfffr+O223pjMKiAStq08UKW04FKVCor8fGuQOOMlxtCuUlFSpaiJEVRolXopa0M\nZmcrHUOefXYSw4ffwj33zGLPnmROnFCKQPr3f4PQUB9Wrvw/APz9Pdi06bj99vPn34Obm6Nk8/33\nlT6l6l9z+GKVUtG2+aAfL0xydAbad9ybyW/E27eHxWfy1vQDQJUlzrEIJs0fzLZDNX0KdVobD99+\nimfvO0qg75VJVZgw4XnS0spwd9eg0biQna1h5szP2bDhS0RRT0xMNKDifI7flRIlY8YMY8SIARw4\ncBR3dzfatGnCDvRNjE4r07Z5BYdOKx1ITqZ7EhvlMI62WKwkJaUTHR3Bgp98+XWbWrHI8RrK5y+W\n0jy0I8H+nQAPBEHE01MRfOdx9ih24uTq02gx+P777zNgwAB+/fXXS84zupn5fr0iBAG++wM+eFLG\noGv46mBhYSEWiwU/P+WH8cCBA4CNmJg2gAk/PxtqdSVwGEGw4KifMdc+4EU4nV77yqAgwIDYEr75\nXVnVWb/P7aqIwbW7LgyJ/XeDF+v2ujF/RgaTR+RfcS+13NxC3N1d0em0ymrVuj306tUOT08dUMlt\nt0Xi4pIGKGHdsDCAsosP2gScOONuF8otg0sb1a6tOgUFAnl58OOPa/H19WLdulRKS7En4/fqFcXu\n3Q7/ki+/fBh3d4f4u/32LrWO26+zwy9u2+FmWKwCGrVMdr6eO57vS0Wl8lUTHVbMN69sBeCnjaHM\n+7IPe0+G1RhLq7Hx4MjTPH//UYKbXf77rrLSgk6nfFdlZRVx7FgmAwZ04tixbLKzXbFYXHnjjRfQ\n6QzccsvD2GywevU+RowYUDXC1eksodVqiYvrfFXu63LpFFluF4PHUt0x52+kTZu2gIAsu5CfL3I0\nKZynPvRGUAvgNZTH74KhcUrY3/nT4cTJ9UWjz8EKCwsZN26cUwjWwYqtjstlFfD77osfn5mZyaFD\nh5BlGVm2UVKSS1FRKpKUgSQlEROjo3NnFYJwAlFMxdvbhLu7tUmMg5PqCBPD1c8bzClQ23udqlUy\nk6o1ri8qUTN1XjiDHouqIWCbgvT0HIqLlVVUWRY4fTqN4uJ8JKkQWc5kxIhAvLzOIopnEMUcXF1N\nDcrva2qOJV9a8ciCBX8wfPh8+3ZYWAR5eXDwYBqPPPI2Li4SajVMm3Y3AB9//Df27n3NfnxIiDfu\n7vX3oI0ILCPMXxHFZRUa9p/wptIsMub5vqSfVVI0PIxmvp61jUUrWtLyrlGMe7FvDSGoUdt4ePRJ\nTn33Cx/+395LEoKSJJGf73jv5uaWsHZtApLkgST54+PTlh49hgEtSU21cPjwWTIy8ujXL56ePTvj\n4qJ8r+XlXWWzzOucnJz8GpEZa843yJJy1nsyI5SgoBgkKQrohEbTnq7dRnP/az6YzMoHpUMkzJ12\nLWbuxImThtBoMRgXF8eJE1fX1PZGIadAZtdfDFSXb6ZGcn5mZiZ//PEHsmytKiqoICDAUtW1409C\nQ0to1UpEFLMRxUJE0dTgJvKNpa6cQYAB1cTglj+NWK5wlHbtbseqYM8OpSx5KZV1/zpJiyDHvDbs\nd6PjxDbM/7cf1kucT3JyBhkZZ5FlJURZWlqCyVSAJJ1FlpOJj9fh51dU9fwXV4nua99ztK5K4vT0\nAt5/f7V9e9GijQQFzbRvu7ho2bDB4ec2Z84kYmOD8fTUotUKtG9v5Pffn2ySsGT1biSbDvoz7a3u\n9vw/QZDo0+ks/WcO5pmPYknNdiRPqlU2Hhx1ipPfrWDB03sI9S+/YOy6kCSJ1FRH9XVlpcSOHelI\nki+SFIqPT2dGjLgbQQhCFL3Raj1wcXFFEKBXry5oNAImk0RY2CAiIgZTUmJBpYJBg/pc9vNxI3Po\n0ClMpsqqz4nAwYNnKC93RZKCkKRI7p84xW5zdCzVC1/flqhU7giCYmw8axEcqLKf0Wlh6cugb0SE\nxIkTJ1eXRovBjz76iGXLlvHvf//7SsznhmbVduXHSbY6Kh2Xr8/j199WI0mlSNJZfH0r6NHDBziE\nIJzC3b0IPz8QxYorJvpqw2KF1BxHNUl10QXQPMhMRKCyr6xCxZ6EK1uAUz1EPKS7kg83oEsph74+\nxlMTchBFRZCZzCLPfhxC3NTWJJypP4ErNTWLEydSkGUBSbKh09nQaMqQ5QzgFNHRFvz9yxDF/KrX\n4Poy0M7LO8f8+as4XlU8Ilem8fEsR8u1kyezeOqpb+3bPXq0JCuryL6Kc8cdXXj55Tvs18fEhLNr\n1zz++GMxO3Z8xapVC4iPb5rQZN8YR6h43tdt+fI3hyu+LIus3BZCWYUjouDjYeKRUVvZ+M8PWPjs\nbsIDGhZuP3YsQ/mcyQAaTp4swWpthiRFoNO147bbxiCKzRBFI6KoqbNVm4eHO++99xgqFWRllZKW\nVowowmuvTSEk5OK+pDcD1Qv/tm//k7y8oqoqaSMajT82Wwiy3AroyJAhUzAa2yKKgYiiJ93aOr4P\nkrIMVPPVZuN+mfnVfh7mToMOkU4h6MTJ9UyjcwbHjh1LZWUl999/Pw8//DDBwcGo/lJqKggCR48e\nrWOEm4+KigoMBoMSIpbNcG4beI8AoMjki1twWwThBIKgVPPW093nqnAmW4utqi1UkK8ZF/2Fq1/9\nu5SwZKWyerh+nxs9O1yZ3DhJgrW7HaHooXGO4ggXvcxbMzIYP6iAB+eG20PJB066MH7OrUwanMAH\nz5ox6JT5Z2bmkpGRS9eubZFlC+7u4OpqQ5aTEQQTQUHnH+f16Z145kw+Y8a8z969swEoLCzj2Wf/\nQ/TdC5QD1F4U5yba25p17x6Jn5+7fbtduxAOH37DXvDi7u7Cc8/V7RXWEPaf8GLxypZUVKrwcDXj\n7mrBw2jBw9WiXK7aF9zM8f4oKqk7nN++RRGP3Xmce4emkJVxqmqvo4I4N/ccXl6uqNXK98ratYfp\n0aMVRqMLsqyltFRPZaUfOp07gqBj0KBWl3wSNX36RHr0iGXx4u+RJJg48XZ69Ii9tMGuY0pLy1Gp\nRAwGJf/zjz/20KJFKOHhLQEDLVv2wmj0QynqEGjT5uI9nb3dBUL9ZdJywGwVSc3REw8UnpOZ9Dr2\nnsWDu8Fjd17Rh+bEiZMmoNFi0M/PD39/f6Kjr68G8FcTSZLsLu+yLLN8+TKGDR/K2t1eCKIevEcw\nLL6Y1TuV0N7yze4M6nZp1Z9XiouFiM8zILaEJSuV1l8b9rnx0gPZV2QuB08ZyC1SVoyaeVro3OrC\nXLHY6Ap2LTrOP//jzyuLAqi0qLBJIotXBrBhyy7++CqMMP9SPDxkdDotkIggWPDyuvYh3r+yfv1R\nbrmlDaIoUlpqwsdnGsXFC9HrtQQEeLBvXzLp6QWEhHgTGelPYKA3p84oZxCCysiSr2baxZ/RqCcj\n44Ma47dvH1rb3TYaq1Vg3tJ2zP68A1bb5ZV4CoLMyF7pPHbXCfrFZFVZ7Shj7t+fhpeXf1URi4oj\nRwqIiWmGh4cnoCE21ge93gPQIQjQrVtEk66gd+7cjg8/fLXpBrwOSE/PQa1WERDgiyzDiRPpeHn5\nExERBhjo06clGo0boHyP+fnVN+KFxLSEtKrMgJMZLsiyzIx3HPt8PGDJiyCKzlVBJ06udxotBjdu\n3HgFpnFjsWLFCnr1isPbWwOUMH58B1ZuK6CiUqm+bR1u4pl7c6qJQU/+9ff068oyITGzuhisvRK5\nf6zDnmb7EVcqKgX7ClxTsqZaiHhwt5Iaz5Msy5SUlOHubkSjhum3J6Ev+Z7lR6ew6YA7qD1IOteb\n+Klafpq7iZ4d8rmKlpINYvDgeSxZ8pDdc2/QoDfZv/81YmLCMRr1yDKsXXuEUaNi0WrVPPHEUPtt\nRVFkzZYv6DhRMfeNCCxl0sQr3zoxKcPI/a/1ZPvhy2snZTRYGN9vN4/elUbHaJtiKr36KB07Nicw\nMBhJ8icoyA29PhpZdkUQRG65pWUNsefre3WNz28EJEnCbLZU+YnC8eMpVFZa6NgxGlnWI8teyLIR\nSQoF9MTGKqud542ZmyI60SkKVmxTLp/MMPDNWvjPOsf1C5+FoGZOIejEyZVkzZo1xMfH139gPVx/\nvY6uQ6xWK3l5efj5uQPFDB8ehVqdWaOwYOV2f/vlkb2L6N2xFB8PK/nFajLztOw+5kJ8+4Ynxl9p\nanoM1r4yGNTMQutwE8dT9VSaRXYcca1hSN1U1BCD3YtJSckkIiIIAIvFxpo1OxkzpheCYMbFxcT0\nB0OYqVrFnEUevL50KBbBnbOFMGDmIBY9v5P7hqY0+Rwvxvvvr2b06C72/rvu7lP5+utpdhuWbdtO\n8fvvh/nb3/oBEBLixaFDZ4iJUXyBdu58hfbtHb203333vhrjV+880vYy2tA1BFmGL39twWPvdqW0\nWn5fzw65TBqeSEm5huJSDcWlWs6VazhXquFcmYbiMmVf/jktedkpaDRGnph4jhcfSCD5dAa+bs2Q\npCBAx5AhrRBFNSBjNhfh6emCweAUfBejvNxEWVkFzZopebInTpyhpMRM167dAQMhIf4IggHwQhAE\nQkOvvAiLqdYNdOdxD1ZUc06YPALu6OcUgk6cXEnWrFnDsGHDKCoquuyxLkkMWiwWPvvsM1atWkVK\nSgqg9CQcOXIkU6ZMuelsZ4qLi0lKOo6/vyeCYLtghU+SYOVWxw/2qN7FqNUwqk+RPcz60yav60oM\nXsxWpjr9u5RwPFXJM1q/z63JxeC5MpFtO1OQdW0QBDVDupdw9GAqQUEuqNVW1Opyxo0LA1Lsq0Xn\nU1TvHbSPqJBcZn54N/nFeswWFffP7sWxZA9ef+jPK7YSO2LEO0ybNoARI5TCi5df/onycjPPPz8K\nUCp4t207aReDjzwykMhIRxzuzJn3a4wXGxtR6/0kJJxmy5Y9rDl2v33f5fQkro/8Yi0PvxnHT5sc\ndi9qlcTLUw7x7L3HUKurinhMZmw2CVdX5X2xf38KKpWaDh2iAD0ZGRVotEb8mnkiCM3p1Kl5LWHd\n6y98fz1RUlJGVlYerVqFI8tQXFxJZmYZPj5tAQPR0e0RhKrUAUG4rM42l0p1MZiY5WhLFxkM7z1+\n9efzv05ISAjDhw9n4cKFACQmJhIVFcXSpUuZMGHCNZ6dkyvB9OnTm2ysS/IZjIuL49FHH2X//v34\n+Pjg4+PD/v37mT59OvHx8RQWXvsG8k2Jt7c78fHNEITaG4DvO+FCVr7yxezraSG+nZJIP6afQ60v\n3+yBfB39/jUkZxCUvMHzbNjXNKs3+/cfp6SkDFkWWL/XiNUmgWylU8tiAnyOM3CgJ1ptFqKYiyiW\nIQi2OnPEurc+w67P1tA2wvFcz/u6PXe+2IfS8ktb+N68OYEjR9Ls29HRT/PMM46K3YSEDH78cY99\ne+DAdnZTY4Ddu2fzxhuOrPl33plA375tGjWHDz74iokTX+XTT39lw07HG+dKicE1uwLpOPG2GkKw\nVeg5tn26hmkjdpKdrfjuybJAcnIhiYnlVfYtwbRt25v27fsjCM0RhABCQ5sT4N/sopW8Tmp2VDp3\nrpTNm/dXWbmokGV3rFYfJKk5styOgID+xMaOQhSDEEUvRFFnz1u+VkQEgvtfUjJUKsVGxujifNGb\nki+//BJRFGv9e+yxxwCqemFf/Hnftm0br776KqWlTR/hcXL1yc9vOj/URv9aPv/88xw5coQlS5Yw\nceJEexK4LMssXbqUBx98kBdeeIEFCxY02SSvFXl5eXh7ewEpiGLd1ae/bHGsCt7W45x95WpglxKM\nBhulFSpOp+s5kqSnQ+S1r2KVZUjKdCQNXUwM3lJNDO5OcKWkTMTNtXH2K7t3HyEkJIDAQF9k2YyX\nl4goFiDLuazd3QHBtRMAQ+OVoo/G0iK4lO0L1zDh5d78uiMYgGWbw0iebuTnNzfV61s3d+4veHu7\n8vDDSs/r6dO/pFWrQH76SVne8PV1q9GV46WXbsfHxyGMf/yx5jJIWJhPox9DdQ4ePMaXX/6OLIOv\nr4HjpW3t1zV1mLiiUsVzC2L44IfW9n2yOYdxvXeyZI4JV4NITo4Rk0lGksIALa1bK8ee/93R2xuU\nXEdnO9cZkiSRlZVHcLCyQlxWZuKXXzZz992jAAN6vR8tW/ojy+EIgg43N4G2ba9vQSWKAp1aymz5\n07HvHw9AXLvre943KoIg8Oqrr9KiRYsa+88XcyYmJl7g7PFXtm7dyuzZs5k6dSrGa7Gc7KRJ8ff3\np7i4aX4TGi0Gf/75Zx599FEmTZpUY78gCEycOJEDBw7w7bff3hRi8MCBA3TrFoSHx8UF3IptDjE4\nsrfjhdHrZG7rWcx3fyiFAz9t8qRD5JWpyG0MOQVqyiqULw0PoxVv99pXPAF8PGzERJVz8JQLNpvA\nlj+NDO958crogwdP4OJiICoqBFmupEULI66upUAhgmCleXM43zt57W6Hn9vQ7lmX/JjcXa38/OYm\nnv6oM+99p6zCHTzlTfcHh/HjnI20DjmDt7fy5Td16mJKSir4z38eBWDTpuPk5ZXYxeDAge1ITy+w\nj/3jj4/h6enownE+9+9KsWHDTmQZAgKM/PzzJxgHtoEqk+0wv2zg8tIwbDaJsrJKErODmPhqT46e\nrISy3xC8bsXPq5IPn0iiTwcVLvoWgBp/f5mAm992r0mRZZkDB07QuXM0Sos2FYcPZxEQ0BZBMGAw\nGLjrrm4IggZBENBqISjoWs+68cRGYxeDPTvAC/df/Hgnl8eQIUPo3r17rdc1JD1LvkLhqfLyclxc\n6u9U5KRp+eqrr+jZs2eTjNXoMHFRURGRkZF1Xh8ZGdkkyYzXGlmWGTiwEx4epouGuVKztfYenVqN\nZDdMPs/ovg5xuHyT5xWZa2OpGSI21xvGq96abn1Va7rqXyoJCcns3ZuAJElIUjktWrgSFmYBTiGK\nKfj6VmAwVFzQxu10upGkTGU8V4OFXh0dze4vBZVK5p+P7Wf2/T+jMh0GIKfAQJ8xiXTotth+nFar\nYuvWk/btqVP7M2RIB/v2++9PrLHaFxDgiV5/9cwhz1eIlpaaOHRSxGxVztk0cjrN6vfZvgCz2crJ\nk4rQLjepWLbek4lPqYifOoxjKZ6gaQYegxjRq5g/vzrBuEE6/P2DEEXVVTVCv9HZtu0gJpMZWRaQ\nZVfAC4slBFlugyjGMHTo31CpwhFFP0TRDZVKe03DvE3B/90D0SHldGxeyr9fAbX6xn48NzIhISE8\n9NBDdV7/j3/8gxdeeMF+rCiKqFQqtm/fbj/mt99+o1+/fhiNRtzd3Rk+fDiHDx+uMc59992Hm5sb\nycnJjBgxAg8PD0aPHn1lHpSTixIXF8eePXvqP7ABNHplsGXLlvz8889Mnz79gi8yxXNvOS1bXn5r\nq2uF1WrFbDaj11sQhLR6fwhXVCscGdClBKNLzRDq8B7FaDUSZovIn6ddSEzXEhlSu5XL1aKh+YLn\nGdClhHf/o1RLb9jnRkpKJsnJWfTr1wmoJCJCh0olIwinEAQJd/eLj3eeNbscSyH9Y3PQahoefj56\n9CRvvPEpRUVliKKRZs0i+fzzRwAoT/0c19T9qLudpuCcDskQS2bacv6xsCOvPniIp54azpgx3exj\njR3bjbFju9V1V1ed0aMH89VXaygttXLXA9+BZjwA3oakOs/+Kyst9rxFq9XG5s3H6d+/HbKsIiHF\nlyXfGzhRMJBNBzwxmWuGklwNMu8+nsmDI/Odwu8inM/xO58as2nTPtq3b4m3t/1yRtIAACAASURB\nVC+y7EpQUEcgAqWiV0VsbOPyRG9EQvwEvn5aaXcYHnDlLY/+1ykuLr4gT8zHR0lLqe/E4q677uL0\n6dN8//33fPjhh3h6KosT58PMX3/9NQ888ADDhg3jzTffxGQy8emnn9KnTx/27dtnXwQSBAGbzcaQ\nIUPo1asXb7/99k1XNHojERsb2ySh4kaLwRkzZjB9+nSGDRvG448/TqtWrQA4ceIE//rXv1i/fv0N\nHSJOT08nPT2ZXr28G/TDWF0MVg8Rn8fNVWJI9xJWVoWSl2325KkJZy847mpSw1YmqH4x2DY4DaEo\nAdlzJAdPGdC56ujd2xNBOI0gyBgM9Q5RK2t3BdovD7lIiFiSJJKTc4mMVATpwoW/8fjj39C2KpWu\noKCM1NQcXn11NKGhgYwb151vv93Bus9WM+rZWziW3APa/s6cLwUSM9xY+vI2mje/BJfdq0RgoB/z\n5z/Giy9+RHaF8iBlSx6jb/cClMKWjRsT6Ns3GkEQkWWB777by4QJ/RFFHaUVrpw8G8R3b7Vn7W4v\nUrPr7gbSvW0ZX89KISq0/vfB/xpZWXkYjQbc3FyRZfj99920bduK4OAIQE+7dgNwc/MHjAgCNG9e\nd8TEyfXHK4tlZn9+ZcaeNRlemdK0Z1ayLDN06NAa+wRBoKSkpEEh2g4dOhATE8P333/P6NGjCaqW\nl1BaWsrMmTN56KGHavx+T548mVatWvHaa6/xxRdf2PdXVlYybtw45s6de/kPzMl1QaPF4LRp08jL\ny+P1119n3TqHw6gsy2i1WmbPnn3RperrnfDwYMLCyhGEC7tg/JXiUpGNBxxJuCN71a7OR/ctsovB\n5deBGKzNVkaWZfuZZUWFiV9+2cKddw4ETIQGm+naozt7EpRq0h1HdYy55fJWN80WkfX7Hd6MQ+Mc\nYvDs2WJefPG/fPbZFAC2bz9Fv35zsNm+AmDlytWYTODhoWHgwFh+/XUPubkSc+Z8wiefvEpsbATJ\nye8CpWz/dA3jZ/W2r0L+Z10Ed/RL484BZy5r/qCI1HnzPuW333ZhNtvw9TUyZ85MYmLa1n/jWsaq\nXh0qSUbWrPmU+16J56ctQMlO2kUEIUm+gJrgYAFJCkUUtYCKe+9tw2e/+PCfdV5sP2zEaqv7h6hN\nRAVDup9jWPw5BnUtoZ6c8/8Zjh5NxGh0JSwsANCQn28DXHF1VYybBw/ugCAoKyCCIODrey1n6+R/\nDUEQ+OCDD+wFXOcxXOrZeDVWr15NSUkJ48ePr7HyKMsyvXr1YsOGDRfc5pFHHrns+3Vy/XBJ3hsv\nvfQS06ZNY926daSmpgIQHh7O4MGD7UvWNxoVFRXo9TpkORVRrF8IgmKWbLEqIaPY6HJC/GqvhB3V\nuwhRDEOSBLYfNpKVpybQ19pkc28siRlaZFlCEEQigyuRJIlvvlnD3XcPRKWyodNVMGpUpD3sK4ow\nqFsuexIU8bZ+nz9jbkmr514uzvI/1JRVmRqH++XRM3YiOTkfIooiWq2aRYs28s479+Du7kJ8fCSC\nIHD2bDF+fh6YTOWEhsLIkb24/fb+6HR6TKZN5OZeaGnkYbSw4q2NTHy1M9+tV8J2r3/RnrG3nLls\nH8K5cz/hp5922Lezs0uZPn0e33//JiEhgRe5JZw5k4e/vwc6nQZZhv/+dx9DhnTG3d0H0BESokIU\ng0jJUaxeBO8RdGx1wj7nqChH8qDNBlPnhfHFr7V/9txcbAzqWsLQ+GKGxpUQHnBt0xSuFZIkYbFY\nq9oVwsGDJ5Fl6NSpI+CCn58Bnc4DWfZFELS0a9fhhs/pc3Jz0bVr1zoLSC6HU6dOIcsy/fv3v+A6\nQRDQ6WpGF9RqNWFhYRcc6+TG5ZI7kPj6+jJ+/PimnMs1ZdWqVQwf3gmDoeE9hFfWqCKuu2jG19NG\nv5hSNlQVXyzf4skjd+Rd+mQvAZvNhiAIiKKohInzf0L2HELzoGKgmHHjWqNWpwCKp99fTzYHdMlm\n7lftAdiwv/GlpdOnL+Gtt+7BaNQjSRJ3D58I3YYgqD0Y1rOAhb+UsmdPEnFxLfH0dKVXryjy80tx\nd3dBrVZjtX5pH8vb241mzUz89ttObDYrq1btAsDPr/bqis8//4bjax5HVCcjCUYOJ3rx7Rof7r31\n8jyafvtNabkwbFgMd955K0888TYlJRa++OInHnroPtzdDfbCk02bEmjbNhRfXw9kWUtWloS7uyca\njRegYcyYKFQqDaAUbLRo4YMkQUKq44VoG3FhVbvFCvfPjrBXrJ8nNrqcoXHnGBZXTHz7MjT/g72G\nKipMlJeb8PFRcqMSElIoL7fRpYvStaN16zA0GncEQSnkaHZ5nfec3GC8MkXglSnXehbXB+cjE0uX\nLsXf3/+C68W/nDn/VRw6ufH5H/yJqJ3Ro/ugUqU3OIHeaoVV26uJwTpCxPbx+xY5xOCmKy8GbTYb\nsiyjVisv8Zo1O4mJicLV3YPcIg343IFOC6F+pxBFuZpXXO307JCHVmPDbFGRkOJBVp6eQN+6LXe6\ndv0Hn38+lY4dlbPHxYs3MXhwe+64o5tilurWCakyGdQxDIvPovuiKTW6dGzdOqvOsZ99dgrTps0j\nP9/Et99uBUCnE3jmmQcvOHbHjv0sXPgrogwBmk/I5CkAHp8fzIRhl14wce5cBZWViiXP+PEjKCtT\nERjoh9lcQFmZTHKyiebNfdBqlbBuhw6+uLq6AXoEQaB794ga961819a0fUjN1lJRqXwJN/O04OtZ\n0wKo0iwwflZzft7iqFJ/4LY85k7LxN/72q08XyvKy03k5xcRGhqALCu5pNnZFXh5tQZcaNOmHYKg\n/IgJglDve96Jk5uNula6zxeHNGvWjAEDBlzNKTm5Tqg3UCaKImq1GrPZbN9WqVQX/TsvQG4kVKrM\nRgmDbYeNFJYojzO4mZnOrS4eWh7d17FyuGG/GwXnmjZRS5ZlLBaHANi69U+SkzORpHIkKZ+hQ4MJ\nDCwkOVMJpQqCiuaBpahUDfOdMuhs9GjvELDfrFBy+84THDyTxYs32reTk3NZtmyvfXvYsI72s8uc\nAj1Su50IrjGoVRL9Y7P529/64evbsDLkzp3b8cknz9GypQ++vno6dgzh669fo3nz0AuOXbFiA7IM\nYWGe7Pk5HK1ayZEsqOzAqu3Bdd6HJElYrQ7xdfx4JpmZhfYOEceO5eHtHYooBvDII1/y9tsr2bat\nkoQELQEB3ene/Rb8/KKqukW44e3dDJ1OX9WRo2F2LQkpDrXStnlN4V1uEhj9XIsaQnDG2LMseu7M\n/4wQNJkqOX48BVCM1CsrBXJyJCQpBFmOJihoUFXXjuCq10F/zbt2OHFyLXF1VVrG/LVL2K233orR\naOSNN97Aar3w+yMv7+pGspxcfepVbbNmzUIQBLvAO799syEIjeuq8ctfqojre0pC/S10b1vG7mOu\nWG0CK7d5cP+tBRe/UT2YzRa0WiXv7sABJZ+sY8dwoILevX0QxQoEIbXGbRIzHAUvkcENb0n0739v\np6WXC5u4A4B/PP0m6Yd8ePfd+wBwddWxbt0Rpky5BYDXX7+Tjh0d4uznn5+0X167O9D+HurZIRd3\n18aLl86d2zF3rtKG6a+O/HXh723i1tjN/Lx7sDLHL9pzW88MBAGysooQRQF/f6Vt4K5dyXh6uhMd\n3RLQ4OGhx2AwIsueCIKauLhoXnrJk8GDH6WyUuJ8lW98fCQzZ05sEouWY9XEYJtqIeLScpFRz0Sy\n8YCjC8rT92Yz75HGndDcCEiSZD+JsFqt7N9/nO7d2yPLAuBKWZkeSQoHXPH01NO16032BDhxUkVT\nGEZ37doVWZZ59tlnufvuu9FqtQwePBhvb28WLFjApEmT6Ny5M/fccw9+fn6kpqayevVqOnfubO95\n7OTmpF4x+Morr1x0+38RWa5pKTOqFkuZ2hjdt4jdx5Qzs+WbPRslBiVJwmQy4+KiCIRTp9LIzs6n\nV6/WQAWdOhkRxXIg5aKCIDHTISBaBJfUedzcub/g4WFg+nRFOL311kpcvU9DlRgUvG8jK2u1/fhV\nq/4Pf3/Hc/LIIwPrHLuhljJNwciR/Vm79iDJyUX06vU3yiz+CNpEpIokdu0xs2ZXCEO6F2M2S6hU\nWiQpCNAQHx8NqDifwxcY+NeEMpk+fbpz5MgPzJ27gLy8Yvr0ieXJJ6dckF9zqew66mj82iZcEYNF\nJSpueyqSHUccov7lKZnM+lv2TSEEjxw5Tbt2kVVeZhJffbWK++8fjSC4IIpaDIYKbLYWiKIRnU5N\nly6drvWUnTi5KtS3CFPbqvdft+Pi4pgzZw6ffPIJa9asQZIktmzZQs+ePZkwYQIhISHMmzePt99+\nm8rKSoKDg+nduzdTp05t1Fyc3HgIciNPN2bPns2YMWNo3759rdcfPXqUH3/8kVmz6s75ul6obtTo\n4XG6wbc7nqqj7YR2ALgabOSuOoReV//TePKMjtb3KLfTayVyfz2Eq6H2FUmLxUpBQTH+/kqFaFZW\nHkeOnGbgwBigElkurRJ/1kaJgIff6s5nP0cB8M+Zu3li/CkAnn/+O7Kzi1myRLEFGjnyHVJT8zh0\nSPGRmj17GadP5/FTxjrKTco5ROIPy2keVNbwOwckCQJHjiW3SBG1exb/RpfWl7ZCmpSk9As+vzJY\nfRUpK6uIoqIyWrcOZtGi//LZZxuorNSgVmvId3uL1Mo7AZGeHSvZsuDkZVcWNzV7E1zo/qDDQmLP\n4gQiAs0M/XsU+084PMXmTc/gmXtzrsUUL4mysgoMBp39dfrXv76iT58YYmK6Iss6du8+RmxsV9Rq\nF0CLLGuq7HOcP0DXK3v3KukgXbteW9Npk8mE3pkI6uQm5WLv75paxqPWY+qj0T+Br7zyCocOHarz\n+iNHjvDqq69e0mRuFH7Z6sjTGtr9XIOEIECrsEraNVdyC01mkdU7HTlyFou1Rv6TyWTm6NHTSFIJ\nkpSHv385gwZ5IwjJiGImKtW5C9q7XYyzZ4vZvDmBpKowsZz3He+8+LD9eqtV4tdfHR3nH354AEOH\ndrRvz5p1B199NZU+nRweiRv2X1h1Vh8HTnrbhWAzTxOdW12aECwtNZGZ6cjDTErKZf36E0iSC5Lk\njcEQiqdnNLLckgcffInly//D888/ynvvvczm/3RAp9MgiBp2HDHaC3uuF2QZnvrQkc84qncRIX4W\n+j/aqoYQ/Nff064rIZiamkGHDiPRaLqh03Wjb997OXz4FCbTeS9LWL9+H+fOiUiSL5IUQpcutyFJ\nbYH2CEIU8fGj0WpDEEVvRNGISqVz5vk5ceLEyRWmyddDSkpKbvrWNPV1HbkY5wtJZFli8bfJyLKM\nLAsIgkxBQS6SVIAsZ2I0ZtK/vzuimI4o5iKKZQiCrcHi7+DBVP7xjx/s2wsXbmT06PdIzKgSProW\n5GYl2q+fNm0Ac+bcad8eMaIz8+ffc8G4/bs4xMeGfY23mFlTLUQ8uFtWnSty5eWVpKQ4ehVnZRWx\nZs0RZFmNJLlQWWmkpMSIJAUhSeGEhcUxcOAYBCEcUfTH0zOEwMBQRFGDIAgEBfkxfvxI+vTpRliA\njQeGO2xlXv+i8Y/jSrJ8swebDyqvk1ol8/e7c+g3vRVHkhSbGUGQ+ey5VB4dd3m9nJsSq9VKXNwE\njhzJwmqVMZtltmw5wZ13Po3J5I0kNUeW2zBixEw8PGIRReV10um8kWWVU/A5ceLEyTWkQWW/hw4d\n4uDBg/btLVu21FpxVFhYyIIFCy5wSL+ZyC1Us/2wksslijLDezTcl/DgwROM6KlizpeBCILIlsNe\nlJXn4GKoQKUy0bOnEbi0lZ6DB1N58sl/s3690oj8zJl85s1bxWuvKQJv9OhY/vnP1ZzJUVaWBLcY\nTp9+2377yEh/e7u3izEgNtt+ef0+fySJRoVY1+5WxKAsmegc7qg2zs8vZfv204wY0QVZ1mGxaCgo\nqCQsLBDQ4OsbTr9+sYAOQQBvbwgPt2A2gyi6NDrM+9zEHD5f6YvVJrDpgBubDhjp17nhBTVXikqz\nwDMfOVYFJwzNZ/LcCJIzFUsUlUrmy5dSmDDkQoPtq8H5VT69XpnP1q0H8ff3Zf/+4+TklKFSCXz7\n7RJycgqZOfPvnDiRTn6+Bk9P74sN68SJEydOriENEoPLli2zh34FQeDTTz/l008/rfVYLy8vli5d\n2nQzvM5Ytd29qpIRerYvo5lX3ZWwx44lERzsh7u7EVmW0GptRIWnER7QktRsV8rEWLYeXs+w+IaF\nSktLTRiNSog1NTWXLl1mkZen9JH083Nnw4YEystNuLjoGTasI+3aBWM2W9Fq1bRvH8quP5cSPV5R\nTSF+ZkKCXOu8r7ro3KoQT7dKikp0ZOW78OzHnZn/6IELjrNabaSl5dt7AJeUmPh5RQLbD1etNsoy\n7ULzkaRWKNW6IoMGtQcMCAK4u0NsbEv7eKIITbngHBFo5v5b8/l8pdJT7PUvAujXueF5o9VZvtmD\n3cdceezOswT4XJ6ty4c/NiMxQ3mN9VqJ33e5k5Wv5Mxp1BLfvprCmFvqNjhvavLzi5Bl8PX1RJbh\nyJFk3Ny8iYpqAxjo0iUMrdaD//73mDJnvQt33jkJq9XKY489iSzLpKWl2X3MnDhx4sTJ9UeDxOBD\nDz3EiBEjkGWZ7t27M3v2bG699dYaxwiCgKurK5GRkTekz2BDqd51ZETv4ho9fQ8dOoW3twfBwf7I\nsg2dTgIKkeV8BMFE27YCUMwd/c7w3ndKa7Rlm0MZFl97Re2MGV/wzjsT0Ou1WK1W3NymkpPzIX5+\nHoSG+lBQUMbevUl07dqCoCAvHnlkACaTFRcX0GrVHDw4p8Z4l2orUx2VSmbGmJO8/kV7sOTyzrdt\naR5UytSRCfz22yFGjuwKqLDZdJw5k0N4uNLn1cVFhdY3DqtNEaOdW8sMG+RoqySKcLXfNs9PzObL\n33yw2QT+2OvO9sOu9Oxw8YIYqxXSzmpJzNBxOl3H0jXebD+sPK8LfvJl8oh8IkMqCfWzEOpnJtTf\njLd77eF9WYaMXA17j7uw77gLO4+6sn6fI3/RZBbtQlCnlfhxThLDezZ8JfpSyM7Oo6zMRIsWIYBA\ncbEM6PH2DkMRfzGAaH/Pn+9Uc9ttt/HCCy9QVlZGeHg4ZWVlyLKMKIpXpH2WEydOnDhpOhr08xsY\nGEhgoBLe27BhA23atMHPz6+eW9185BeYWL3dEY8Md93CkSMi7dqFAxYCA7Xo9WVAIoJgITJSAi7s\nVzymXxrvfdcGWbayfFMQH/+fgEol06LFk/zyy99p317x51u4cAOjRsUydGhH1Go1BoOWLVtOMnas\n0sXjhx9m0qqVI9/t44//dtH52/MFubitzHmqV+fKspID1qdPNC9PPsKfpz1ZseIgstcIHnu3GyHN\nXIiL80WW/REEEa0W+vWr6f+38ZAjDD0krulFjSRBToGa1GwtZ3K09v9pVZfTc7Vo1DJeblY8jTa8\n3GyE+ZlJzlJCnlPeCOOpCWeV69ytlJarFNGXoSMpQxGAKVk6rLbac9uKy9S8+92FoXYXvY2QZhZC\n/c2E+lnw9rCSkKxn3wkXzhbWv9zp5mLjp7lJDOxa/2vWEKqfwGRl5XHmTDbdu3dAlvWo1X7odCKy\n3BxBcKF5c1WDcvk6duzIgw8+yKJFizhz5ox9/1tvvYWLi8tFbunEiRMnTq41jV6L6dev35WYx3VJ\nTk4+lZUWwsKU9lb/XVNCWXEWgosHUSFljL5Vj1ZrRhF/cr29TTduTKBVqwB6tBfw86ogZ2MfzkZ+\nxvbDvvSJySU/v5Q1aw7ZxeDAge2w2RzWM0VFn6LVOl6ysWO7Nerx1FgZDLpwZTAxMYfwcF/UahWy\nDN98s4uxY3ug03kAWgICwGoNQ6XS880r+QzIH8De4wKSBBNeacOmj1T4+9fdiWXtLkf19NDujReD\nsqyIvaRMHUmZOnYd7EB6rpFzlX6kZmtJO6vBYq0/eTA7v3YBduKMganzwhs9r/ooN6k4mabiZFrD\nbS/aNa9gSNw5ukSXM6T7uQta0TUUSZIoLS3H3V157bOz89m7N4HhwwcCrnh4+BAV1RoIQhDU+Ppe\nehHHZ599xtChQ/n6669Rq9U8/vjj9O3b95LHc+LEiRMnV4d6xeDkyZMRBIGFCxeiUqmYPHlyvYMK\ngsDixYubZIJXk9TULLKy8omLa48sW4FKoAxJEoEKDqa3R3BRPPpG9klFp7t4SPG991YTGxtO375K\nSPiuuz5gypR+zJ17N7f3TWfh7g5QcZRlm7vQJyaXTz55gNjY5vbbr179TI3xqgvBSyHhVCWyZEEQ\nNUQGl7J27WHi4lri7u6GLGs5e1YgIMAHUXQDNIwfH4VKpeG88XKrVr72sYwuEivmJ9LjoWhSsnSU\nm1SMfKYlOxaeIDzAfMF9n05XBBwo3oy9Otb+3FmscDpdT1KmlqQMHUmZWpIzdSRm6EjO0lJuato2\nfpeCXithMjtEZ2x0GYE+FlZtP285JNO5VQUms0BajpbSirrnbDTYiI0uJ/2s1v789IspYf2Hpy7J\nRNpqtZKWlkPz5koRSklJBdu2JTBs2BDAgK9vC4YO7YMgKK3ZXFygKRfuxo0bx7hx45puQCdOnDhx\ncsWpV12sX78eURSRJAmVSsX69esb5IR+oyFJ5/Dzk/HxcQFOIwhW/P3P+wfmI8uwcpujynNkrwyS\nk89iNtuIjlZC6Pfe+zEhId68+eZ4AD77bCPR0YF2MdirVysKCxURNKZfGguXf4YgqFm2qZR3Zu7n\nnnt6XtZjsFptCIKASqUIld27E4mM9Mfb2w1Qc+JENkgRIHrSPMiFlgH9cXFRVv0EAXr0qLkqpkSI\n6/ZQ9Pe2surtRHpNa0VRiZrsfA0jnopky4KTeLrVXMmq7qnYP7YUrcYxblGJit92uvPLFg9+2+nB\nubJLF3w+HlbC/M3KX4DZfjk8wExIMwuSDEWlKgrPqSgqVVNUqiIhRc+8r/0B5X3br3MJsgxatUxk\nSCWRwcpfqJ+Z15YEsmKbw2fy3iEFfP5iCgBDnohi0wE3QCApU8vuRSdoGVJJcamKtLMa0nK0pJ3V\ncrZQTWRwJV2iy4kKrWT9PjeGPKGcZAiCzDuPpdcpBGVZJisrj6AgZRnaarWyevUObrutDyAgSTpS\nU8sIDw8CDLi5uXDrrX3sn8nrzVzbiRMnTpxce+oVgykpKRfdvl75+OOPefvtt8nKyqJdu3a89957\n9O7du87jRTHDngx/HkmSOHeuAk9PVw6c9CL95BaQLXiHD6ZXh1z69/8UlUpk48YXAcjLK+HkSYf1\nyn339SQvzxGOXbbsCfvl/rE5eLpJFJdCaraRAye9iI1unF1IamoeHh4GPD1dkWXYsOEE0dERhIQE\nATpCQlwwGDyRZSOgIscag6BW1EBUiAov93ri2g2gTYSJn95IYujfW2KxihxNNjDuxeb8+k5iDcG3\ndrdDDA7pfo6ULC2/bPVgxVYPNh1wqzMP7694GK1EBptpEVSJuzaTkGalxHf2ITzATKifGaNL/T2m\nQ/wuzONMzNDxw3ovALzdbPw4N6nG9eUmgTHPR9Z4HFNvz2XBU2l2gfXda8l0m9KatBwtxaVq7niu\nBTsWnsDTzYanm40OkSb+is1W02B60q0FtIsoBpTCEVmWWblyC8OH90YUVciyhv37z+DnF4Uo6hFF\nLV26eCPLIQiCFo1GpF+/TjfkCZmTGwtJknjooYf45ZdfEEWRiRMnMn/+/Gs9LSdOnFwCN2XZ73ff\nfccTTzzBJ598Qq9evfjoo4+49dZbSUhIICQkpM7bffnlFhITzzJ79lgAxo79F8nJuaxf/zRvLjRA\nZQ6UHeC2e9qhVst07dqc3bsdomHWrDvsK38Azz8/qs770mokRvTM4N9rlbDwsk2hF4jBzMxC9HoN\n3t5KvtfOnafx8XGnZctgZFlHZWUlZrMnktQM0DJoUGsUH3ElrBsU5PB2y8zVUFGpqBYvNyte7srK\nnSzDsWQ9q3e5c+KMHg9XG76eVnzcrfh6WvH1cPz3crOhqmXR7pbYUha/cIb7Z0cAsH6fOw+/Gcbn\nL6YiCGC2CKzf58hX/OjHZjz2bmidz02Qr5k2ESaaBymiT/kzExlcaZ83wLFjip1J27aX7znz4qRs\nuxhcttmTQ6cNdGyp5D+eKxMZ+XQkW/50FOA8eU8O82dk1FjB8/Oy8tMbifR5JBqTWeRYioEHXo/g\nhzlJda7ILVnlw59HckEXjKtB4LWHMlm2bBOjRg1Dr/cADHTrNgJZDgT0CIKK227rUEPsXdg32YmT\nK09cXJy9FR3A22+/TUJCAitXrryGs3LixMml0OjexDk5OWRmZtK5c2f7vuPHj/Puu+9SVFTE+PHj\nueOOO5p8oo0hPj6emJgYPvnkE/u+Vq1aceeddzJnjsNupWY/vxXMnPkVy5fvIy3tfUDp17t48QYi\nI8s5xB7KK93BlMirMzKZNUNb4z5lGUrK1eQV6ckt0lFmUqPTSOi1NsefrtplrcQXyw08OK8XgtaP\nNhHFLHr0fYxGA+3aRQJaEhNzcXV1JSDAD9BgMtlQqzVoNEpuWWMWf7YcdKXfjGgAYqLKeHFSDqt3\nubNmlzvpZ7X13Jqq+5PxcrPh62HFx8OKViOjEmVUomLAnZSp41S1Iom2ERV0iKwgp0DDxgMXb/nW\nrU0ZI3sXc3ufItq3MDXosTnEYNsGzb8+xj7fgmWblRDwXQMK+c9ryeQXq7j1yZbsPe7wZHx5Siaz\n/pZd5xy/Xu3NpNci7Nuzp2bw4qRsu4Dbv/84UVGhyKIb0ePbkZ26D1w68MpU+MffQBAMVLdvuZm5\nXvraOmkcW7dupU+fPoBSVFheXs6ePXsASE1NJSws7KrPydmb+OoSHx+P2Wxm//7913oq/xNc6d7E\njV4ZnDFjBmfPnmXz5s0AFBQU0LdvX4qKijAYDPz3v//l559/ZsSIEZc03m9hvQAAIABJREFUocvF\nYrGwb98+nn766Rr7hwwZwvbt2y9627Fju1FZ6TANfvbZW9m4cRWl5mAq9LEIBkAfwcffLOJYdl8K\nzrmQW6Qjr1gRgGZLzWUzWTKBbEFQKUJILj8OshnBVen5q7Kmct56JiHFg6kf/p2wAAlvdxve7spK\nnLe71b7t7W7D282Kp5sND1dbg3siSxKs2+sQY3+eduHOl1pc5Ba1I8sCBefUFJxTQ1r9xx9LMXAs\nxVDrdVqNxMAuJYzsXczI3sUEN7swdHu1efGBLLsY/GGDJw/tM/L4u6EcTXY8hrdnpvPk+LN1DQFA\n//YJTBsp8ckK5TmeNf9PQr28mDjSB9Dh7d0KUQzmjaXNyClQI7jFE9wMnpoAonjzC0AnNz67d+8G\nwNXVlbffVjoZ9ejRA6vVyoEDB66JGLxZERuQ6CsIAkuWLOH++++/CjNy3KeTm4dGi8EdO3YwY8YM\n+/bSpUspLCzkwIEDREdHM3DgQObPn3/NxGBeXh42mw1//5p+b/7+/vzxxx913i4pKYmwMB3PPXcL\nSUlK6HfbtgOYzTI2XTtc9SbKTHoQ1JxlGt+vB9lWCpIJQaOUY8qVaWAtRnBtrwxamQ5SOVSJP3Th\nNZbzbOpwqn+cjqW4cSyl4Y9Vo7bhZrBgNJgxGiy4uyj/jQZz1X4LZ866seNYIAUljjOK8x1UzuNm\nMNOjbRadW57FbFFRWKqnqFRHYamOoqq/wlId58p1DZ9cHXSLzuae/ifp1S4TV70ivItzlb9L5fwK\n4eWiB/p1dGPToRBkWWDw41H250oQZGbdt4thHU9z6JANWZbRaJSPz9GjyXh5uREc7A/oOHUqh3Hx\n5ew94cXek17IHsOY+YGEm+Y4YX4lgMCRk7n881vHe/TBIckkHG1YJ5qbkerhRifXP0ajkvZRVlbG\nc889R0VFhb1FqUqluiavZ3h4+E25MvjXjl6ffvopu3btYsmSJVQP7PXseXkFiE6ub0pKSjhy5Eit\n10VFRV32+I0Wg/n5+XYDaoAVK1bQt29f2rdXBND48eOZNev/27vzsCir9oHj32eGHUc2BUREkNwS\nNZciQ80dpFxKUkFBLRcq0TfLFn+WYopLqW9ZKVpur6mZvWbmgstrGlqmVqal4ZamhguLrMM2z+8P\nYnQE3ECHiftzXXPVnOfMmXs4gDfP2d6qcGDmUFBQRH5+IY6OxUlPbm4hej3UtE5g89uT6RgzEjXv\nHIrT33unFV6FwjSwLt5yxd6+Bs6OKm6uKTjYFVBQ6ER+gQt5BenkFWj/fmjILywkr0BbKim743gL\ntaRmak0SvdvVrH4K7QMuEBRwgRZ+V7DS3vouY2GRwtVsG9Kz7LiabUNhkYYig4LBoGBQleL/VxWy\nc61478uHSE6tcUMLBcwdtQNn3R3NTLivop88zK5fiueVlvSPpugiEyP280zH4mPgfv31DDVrOuPn\n54/BYIuXlyvW1jXIzXVEVRW8vIpXZU8bcpYh7zqQnGZLVq6G8Z/4s/ilYzjaGfjw67rkFRT/xd+k\nXjY921bfRFBYntatW9OoUSOSkpJM/sgODAzE09PzJq8UdyoiIsLk+bZt29i/fz/h4eG39fqioiIM\nBgPWlXmep/jHueNk0NXVlb/+Kj4+LScnhz179jBp0iTjdUVR0OtLr5q8X2rVqoVWq+XixYsm5Rcv\nXrzpLyk/v4acO5fO5cvpNGsWAFjRq1cj5s8/wNWrMPzZ5dSwqU9hQRa2aVuZ+86zeLgacHfRUsv5\nCLWdC3CwK0lyrtwyTlWFgkKF3DyF1sOacPpCcUI3tv9FWjXKJTVD+/eQrJb0TKvipC/DipSrWq5m\na7mapb2tDZZLWGlV44rddTNO0qdDyRyD2n8/Klf/nido+LQHBu21PxzUq3uZNHEm27YtrZT3qMw5\ngyWncjz4IMxfd5hdB61RHJpgY23gvZg/CH60Fj4+gYAdTZvaU/Kjc6uhkq/rqLSPBn0+nE625/2N\nrRg/CBIOXquz4HVHHnmoes6ZkzmDluvo0aNERUWxefNmNBoNAwcOZN68eWaLx5z/7lQVv//+O02b\nNuXf//43BoOBDz74gLNnz5KYmMgjjzzC9OnT+frrr0lKSiIrK4vGjRszbty4MoeXN23axKxZs4xz\nAps0aUJMTAyRkZHlvv/27dvp27cvoaGhrFq1Cm1ZKw7FXdHpdOX+nrx+zuDduuNksH379nz00Uc0\nbdqULVu2kJeXR+/e11bN/v7779StW/cmLdxb1tbWtGnThm3bttGvXz9j+bZt23jmmWdu8spGeHsr\neHsXJ3SKAnXquPPBB5N58smxpKfnAS9Sq5Y9W7cuoFWr9ArFqShgY61iY60yqm8Kr39U/DU7eMyR\nuWPP3/L1qgr6fIWrWcWJYUmCeDVbS3rmtec1HAx0a5tB97ENScss7u62TXIqFPvt2LtzHUVHNqAE\n7IK/50ySvpUdvx0hJSUdNzfnmzdwD+n1eeTk6HF1LZ5om5R0luTkVNq3bwfYM320Su9Xa2Jlq7J0\nooYejwTe9fyY1o0VFr6uEjWl+Pm63bDzp2vXn34cOj4kc2+E5dFoNKxYsUIS+ipo4cKF5OXlMXLk\nSBwcHKj99/FYc+fOpX///gwaNIiioiLWrVvH0KFDAUwSwkWLFhEdHU3z5s2ZMGECzs7OHDp0iE2b\nNpWbDG7cuJGwsDD69+/P0qVLZU6hhbnjZHD69On06NHDmGi9/PLLNG1avKlyUVERa9euJTQ0tHKj\nvEMlf+k8/PDDBAUFMX/+fP766y9GjRpV7muKv29LD18GBbUlJeVbfvrpVzQaDS1bNr2tCb13Iiok\nhYnxXhQWKST+UoNjZ2xpUj/vpq9RFLC3VbG3LcTTrfCmddMztcZE0M7GQB23e79Y48yZc5D9M66X\nI7FttoZaToX8enABRSqcPXv+viaDGRlZ/PXXFRo39kVVITU1m3PnMmjbtiFgh5+fPw884IiiWKEo\nCu0egotbVAqLwMa64r/QBgcrHDym8t6a4ufpfx8xbG0FM1+ocPNCCGHi/PnznDx5EldXV5Pys2fP\nmsyrjImJoVOnTrz77rvGZDAtLY2XXnqJoKAgduzYcVvDy1988QUREREMGzbMZBcPYTnuOBn09/fn\n999/57fffqNmzZr4+voar+Xk5PDhhx/SsmXLyozxjvXv35/U1FSmTZvGX3/9RUBAAJs3b6ZevfL3\ntrsZjUZDmzbNKznKazzdCukVdNW4kvXjDbV4d/St7w7erpPnr20d08Ar776cQtGhwyPAElJOfUVH\n71ZcPpFGUV4a1tYKTZv639P3zsjI4uefk+jQoTVgDTijqhoMhgaAPXXq2FKnDuWeynHmzBnjcYrD\nhg3Dz8+PinrnRfjlBOy8bheGmGfA31v+ehbCHBRFMVmAUdnPzal///6lEkHAmAgWFhaSmZmJwWCg\nU6dOTJ06lfz8fGxsbNi0aRO5ubm88cYbt5UIrly5kiFDhjB69Gjmzp1b6Z9F3B93lRZYWVnRokUL\nk0QQise0+/TpU6rcHKKjozl16hS5ubns37+foKAgc4d0U8/1ujbPcPlmV/ILKi9JOHn+2ipg/7o3\nv+NYWTp0eJh+/doBsHv3UY4eLd6XLzb22Qqv+DMYDFy5cm2YPjdXz6pVCaiqNQaDE3Z2vjzwQAdU\ntRnQHJ2uBU2adECjcUGjKT6Tt7whjI8//hg/Pz/efvtt3n77bfz9/fn4448rFC+AlZXC6ilQ/+9p\nq55uMHFIhZsVQohSGjQoe+uwzz//nDZt2mBvb4+bmxu1a9dmypQpqKpKRkYGACdPngSgWbNmt3yf\npKQkoqKiCA8Pl0TQwt1VMlhQUMBHH33EE088QbNmzWjWrBlPPPEECxYsoKDA/PvFWaLgwAy83fMB\nuJJuzVeJd7dxZFmuTwYb3KdkEGDt2nm8996LdOnyICEhLVm/fgZvvPH8Hbejqirff38YVVVR1eJV\nvomJR1FVFwyGOtjaPshTT40GmqMo/tjY1MfLq8ktE78bpaenM2rUKFRVxc7ODjs7O1RVZdSoUaSn\nV2yOKEBtF4UfPoaPXoE9C8BZJ3cFhTCXG+/iVfZzc7K/8WxVYMeOHQwYMABXV1cWLVrE5s2b2b59\nO6NHjwaK/8i+U97e3rRr144NGzbI5tMW7o6TwbS0NAIDAxk9ejQ//vgjbm5uuLm58eOPP/LCCy/w\n6KOPkpZ2Z2fsCtBqYdgTKcbnn2xwq7S2Te8M5ldau7djzJhh7NixnM2bP6FXr27l1ktJSTf5ZfT5\n59vR6wswGOxQVVccHX0oLPRBVZug0bSiT58Xyc31RK93RqNxwc6u5h0lfmXZvHkzBoMBrVZLWloa\naWlpaLVaDAYDGzduvOt2S3z66ac0auDKi2FWtGhckzlz5lS4TSGEuB1r167FycmJhIQEhg4dSnBw\nMF26dCk1FOzv74+qquXuaXc9BwcHNm3aRIMGDQgODubo0aP3Knxxj91xMvjGG29w5MgRlixZwvnz\n59m9eze7d+/mwoULLFu2jCNHjjBhwoR7Ees/3rAnUlCU4r8ut/5QkzPJt3dM3K2cMsMw8a0cPnyC\nnBy98U7f/v0nycqyxWDwxGCoT0jIUGxs2qAoD6LRNKB58y5YW7uj0TiiKNp7slJNpyte9WwwGDh5\n8iQnT540Jqglm+zerc2bNzN48GDS04uT3qysLF5++WXi4+MrHLcQQtyKVlv8e7Nkc3CAy5cv85//\n/MekXmhoKA4ODsTFxZGff+ubBzqdjoSEBNzd3enatavx0AZhWe44GVy/fj2jR49myJAhJqtqFUUh\nMjKSF198kS+//LJSg6wufOvk0/3h4qWmqqqwZGPl3B08eeH+J4N5efkmv3R27NhPcnLq3/P6amJt\n7YnB4I2qNgKaExw8Ap2uORpNXTSaWuh0Hmg01vd1e4KQkBAcHR1RVZWAgAACAgJQVRVHR0eeeOKJ\nCrX9+uuvA1C7dm22bNlinNMzZcqUCscthBC30qtXL9LT0+nRowfx8fFMmzaNNm3alFpY6eLiwpw5\nc/juu+94+OGHmTFjBvHx8YwePbrUBtglatWqxfbt23FwcKBr166cO3fufnwkUYnuOBlMT0/H37/8\n1aD+/v6VMr+qurp+IcmSjW4UFVWsvbx8hXOXiocBNBoV3zr3Zpj40qVUrl7NAor3QPzuuyNcuJCN\nweCKwVCXhx/uhZtbe4rn9T1AkyaPU6NGfTQaHYpiXeEh3spgZWVFYmIizs7Xtr1xdnYmMTERK6s7\nXnhvomTqREhICMHBwcZtHLKysirUrhCi+rnZ78ryfpcGBwfz8ccfc/HiRV566SX+85//8PrrrzNy\n5MhSdUeOHMmXX35JzZo1mTp1Kq+99hoHDhwodczs9e9Tp04dtm/fTlFREd26dePy5QqcMSruO0W9\nw1mvzZs3p06dOiQkJJT6hlNVlR49epCcnMzhw4crNdB74fpdu52cTpgxkmvy8hXqPRXAlfTiBG7j\nuyfo2S7jrts7dsaWByOKV4XV98zj9Be/Vkqcp0+fx8pKi7e3J6Dh6NG/qFmzFl5evoA9imIP3Jvh\n3BL3crPbM2fOAMXnnVaGnj17smXLFjQaDY899hj79u2joKCAFi1acOjQoUp5D0skGxZbvqrSh3q9\n/h95NrEQcPPvb9Nc5u4Wn97xncEXX3yR7du3ExISwqZNmzhx4gQnTpxg48aNhISE8L///Y+YmJi7\nCkaArY1KZMi1c2orupCkItvKXL+g48SJPzl06Pjf+/XVwN6+HnZ2DVHVJkBLmjbtibf3I2g07n/f\n7bMy+52+iqhfv36lJYIAq1atombNmhgMBhITEykoKMDW1lamVAghhDC7Ox77io6O5sqVK0ydOpXt\n27cby1VVxcbGhilTppR521ncvuG9Upi72gOArxKduZhqhYfrzU8ZKY/ptjLlDxEXFhaSk6OnZs3i\nhRInTpzj3LlLdOzYHnDA09MNcADcUBQNnp6Wm+iZg7OzM+fPnycmJoajR4/i6+vLv//975uely2E\nEELcD3c1EWrixIlER0ezfft2k+G07t274+ZWeVui3E96vRYrq7wKzw2rDE199QS1yGLPLzUoLFJY\nvtmV8YMu3VVb5d0ZzMnRc/FiCn5+dVFVuHQpnRMnLtG+fXHy5+vrT4MG145oq+BiWkHxiuQlS5aY\nOwwhhBDCxF1nPr/88gs//PADf/zxBwAXL17E3d2dLl26VFZs99WxY4VoNBdp0aKuuUMB4Lknr7Dn\nl+IM7JMNtXgl4hJ3M+pasq2MWpRNYdp3qGoDQKGw0Ja0NCvq1/em+Ii2ltSpc22O3/04sk4IIYQQ\n5nfHyWB2djYDBgxg8+bNqKqKi4sLAF9++SXvvfcewcHBrFmzpsL7st1vLVu2QVVbYDCcRqMx/wrP\nZ7qkM/bfRWTmaEn6047EQ450eCj7pq/JydHj4FA8wTQvL58vv9zFyfMPFl/U2NLywUaoqj+KYo9O\np6F1axnqFUIIIaq7O77/8/LLL7Np0yYmTpzI5cuXSUlJISUlhcuXL/N///d/bNmyhVdeeeVexHpP\nKYqCRmODovjz118FZGXlmDUeR3sD4d2vX0hSq1Sds2eTjUcgFRUZWL/+WwoK7CksrMXo0R/w4uh3\nOHa6uK6iWNHx0RZoNDXu2abNQgghhLA8d5wMrlmzhhEjRhAbG2syP9DNzY0pU6YwfPhw1qxZU6lB\n3k+KYkVqqiPp6VaY+6jJ4b2uHU/3+U4XdiceR6/P+/vUDg0nTqSQm1sTg8EHRWnKwIHjsbJqSrdu\nQ/j445WkZDiApvhOoaYohRr2VefsTCGEEEJUDXecDBoMBh566KFyrz/00ENV6sDuu9GsWXPq1g1E\nVWvd04Rw+/Y9NG7cExeXx3jggWCWL1+HXn9tkcdfJ7bSrF7xAp3cPA07fn4Ag8EHVW0MtKBz50gc\nHBqh0dQ23vG7ePEiu3btAqBL6AhjW0U5x1m3bl2FY87Pz2fs2LF06NCBgQMHcvbs2Qq3KYQQQgjz\nueNkMDQ0lK+//rrc619//TWhoaEVCqoqUBQNilKPn366zKVLaZXe/rff7ickZCxJSZdJT8/n5MkU\nhg2bxvr1BzAY6mIwNKB79yFEh107Kujrg21wcPC+6VDvb7/9BoBGoyHi2TevXdCf5NdfK7bhdH5+\nPvXr1+f9998nMTGRzz77jAceeIBffvmlQu0KIYQQwnzuOBl88803OXfuHE8++SRbtmwxbjq9efNm\nnnjiCS5cuMDEiRO5dOmSycMSKYoGD4/m1KjR4K7vEF6/cfPPP//OiRPnUFUtr7/+AUVF4OHhxqJF\nH+Lp6YnBABMmvIdG44lG44KdnTMRPTTY2RS//qck+PH3mwfSunVr4/u+EfvxtQv6U3Ts2PHuPsTf\nRo4cSXJyMoqi8Mgjj2BjY0NBQQF9+/atULtCCCGEMJ87Xk3crFnx0WaHDx9m8+bNJtdKhocDAgJK\nva6ooofsmkndunVRVRVVdeTs2QMUFRXSoIE3AGfO/EVRUVG5zw8ePIZGo6Vly1aAA35+btjYOAFO\nnDpVPB/w6af7M3z4C5w+fZ64uDjjGbYlXGoqhHVWWZFQ/PzjDfBR4/LjdXZ2ZsSIESxatIjLmTqU\nv7cZbOSjpVOnThX6Whw8eBCA7t27k5CQwMKFCxk1ahQXLlyoULtCCCGEMJ87TgbfeuutarcStfjz\nuuPo2AyDIR+DoXjhjKOjEwaDoZznCi1bNkSrrQEUHxx+/ZGBfn5+JCcnGw8O37hxIwDe3t6l3v+5\nXhiTwZVb4d3RKg525ffBwoULad68Oa+tCED/d9knH06o4FcBXF1dAdi3bx//+9//iI+PB5DzQIUQ\nQggLpqiWvtqjAirjcOe7debMGRo3bkxe3rUFI1ZWVvzyyy80bdrUpK6qqjQJh+N/Fj9fOhGiet46\nIXcNUUnPLP7/8+uhTq2KJfH79u2jXbt2pRYIvfnmm0yZMqVCbd+NAwcOANC2bdv7/t6ickgfWr6q\n0od6vb5a/2Hq7e1NaGgoCxcuBODkyZM0bNiQFStWEBERYeboREXd7Pu7MnIZOWfCTOrXr8+JEycI\nDg6mYcOGdO3alWPHjpVKBKH4zuRzva49/+i/8FOSyoXLKoWFZefyqRnXEkEHO/CshFMCAwMDWbdu\nHS4uLmg0Guzt7Xn11VfNkggKIUR1sWzZMjQaTZmPMWPGAMWLBm81ardnzx5iY2PJyjL/wQqiajH/\nQbzVmLe3N1u2bLmtulEhMDEeCovgh9+gzbDickWBWk4qnm7g4VKc9Hm4QtG1dSs08KLShvb79OlD\namrqrSsKIYSoNIqiEBsbS4MGDUzKGzcunkR+8uRJtFrtTdtITExkypQpjBgxwuJOCRP3liSDFsLT\nTeGpx1U+/59puarC5fTix+FyXutfNY5bFkIIUQE9evTgkUceKfOatbX1LV9/r2aF5eTk4ODgcE/a\nFveHDBNbkPdfgtFh0P1haPEAuLsU3xm8lYdLjzwLIYT4B/H29mbkyJHlXn/zzTeZMGGCsa5Go0Gr\n1bJ3715jnc2bN/P4449To0YNatasSWhoKIcPm95mGDx4MDqdjtOnT/Pkk0/i5OQk24v9A8idQQvi\n4arw/kumZYWFKpfT4WIqJKdCckrxfy/+/f++dWDMM+aJVwghROW5evUqKSkpJmUlx8LeaipQ//79\nOXHiBGvWrOGDDz7A2dkZuDbM/J///IehQ4cSEhLCzJkz0ev1xMfH06FDBw4ePIi/v7/xfYqKiujR\nowdBQUG8++67t3VXUlRtkgxaiN27d9OnTx/S09NRFIWgoCB27NiBjY0NdWpBnVrmjlAIISzH5E9U\npiy+N22/9SxMfq5yt2BTVZXg4GCTMkVRyMzMvK0h2ubNm/PQQw+xZs0a+vbti5eXl/FaVlYWMTEx\njBw5kvnz5xvLn332WRo1asTbb7/N0qVLjeV5eXmEhYUxffr0in8wUSVIMmgBzp07R9euXSksLASK\nfykkJibSuXNn9uzZY+bohBBC3GuKojBv3jyaNGliUm5vb1/htrds2UJmZiYDBw40ufOoqipBQUHs\n3Lmz1Guef/75Cr+vqDokGbQAs2bNorCwEBsbGw4ePMinn37KjBkz2Lt3LwaDAY1Gpn4KIcQ/Xdu2\nbctdQFIRx48fR1VVOnfuXOqaoijY2tqalFlZWeHj41PpcQjzkWTQApT8pebu7k5AQADPP/88M2bM\nACA/P79ab7QqhBB3Y/JzCpOfM3cUVYPBYEBRFFasWIGHh0ep6zfecLgxORSWT5JBC9C7d29WrlzJ\nuXPn8PX15dKlSwA4OjpKIiiEEOK2lLfIpGRxSO3atenSpcv9DElUETK+aAEGDBjAE088ARQfY5eb\nm4tGo2HNmjVmjkwIIYSlcHR0BCAtLc2kvGfPntSoUYO4uDjj3PTrXbly5b7EJ8xH7gxaiK+//prl\ny5fz1Vdf4ezszBtvvGH8a04IIcQ/W2VsGN22bVtUVeW1115jwIAB2NjY0L17d1xdXZk/fz5Dhgyh\nVatWhIeH4+7uzpkzZ9iyZQutWrUynnks/pkkGbQgUVFRREVFmTsMIYQQ99mt9hFUFKVUnRufBwYG\nMm3aNBYsWEBCQgIGg4Fvv/2Wxx57jIiICLy9vZkxYwbvvvsueXl51K1bl/bt2zNixIg7ikVYHkW9\nV+fTWICrV68a/9/JycmMkYi7ceDAAaD4r11hmaQPLV9V6UO9Xi9zqMU/1s2+vysjl7GYOYNpaWmM\nGTOGpk2b4uDggI+PDy+88AKpqakm9dLT04mMjMTZ2RlnZ2eioqJMvlBCCCGEEOIai0kGL1y4wIUL\nF3j33Xc5cuQIn376Kbt37yYiIsKkXnh4OD///DNbt24lISGBH3/8UYZWhRBCCCHKYTFzBps1a8ba\ntWuNzxs0aMA777xDr169yMrKokaNGhw7doyEhAT27t1r3Jiz5GzF48eP07BhQ3OFL4QQQghRJVnM\nncGyXL16FVtbW+O5jN999x06nY5HH33UWCcoKAhHR0f27t1rrjCFEEIIIaosi7kzeKP09HTeeust\nRo4cadwdPTk5mdq1a5eq6+7uTnJy8k3bK5kELSyP9J3lkz60fObuw/r168sCEvGPlZmZyZEjR8q8\nVhmjnma/M/jmm2+i0WjKfWi1Wnbv3m3ymuzsbHr16kW9evWYOXOmmSIXQgghhLB8Zr8z+NJLLxEZ\nGXnTOtcfiJ2dnU3Pnj3RarVs2LABGxsb4zVPT08uX75c6vWXLl3C09Pzpu9h7m0RxJ2rKltaiLsn\nfWj5qkof6vV6s76/EPeSTqcr92esMnZMMXsy6Orqiqur623VzcrKomfPniiKwqZNm4xzBUu0a9eO\nrKwsvv/+e+O8wb1795KTk8Njjz1W6bELIYQQQlg6syeDtysrK4vu3buTlZXFl19+SWZmJpmZmUBx\nQmltbU2TJk0IDg5m1KhRxMfHo6oq0dHR9OrVS1YSCyGEEEKUwWKSwYMHD/LDDz8A0KhRI6D4rEZF\nUdi5cycdO3YEYNWqVcTExBASEgJAnz59mDdvnnmCFkIIIYSo4iwmGXz88ccpKiq6ZT0nJyeWL19+\nHyISQgghhLB8Zl9NLIQQQgghzEeSQSGEEKIKW7ZsmXG7tT179pRZ54EHHkCj0dClS5f7HJ24Xm5u\nLrGxsaW2xKvqJBkUQgghLIC9vT0rV64sVb5v3z5OnTqFvb29GaIS18vJySE2NpZvvvnG3KHcEUkG\nhRBCCAsQGhrK559/Xmr+/MqVK2natCn+/v5miqxy5OTkmDuEClNV1dwh3BVJBoUQQogqTlEUwsPD\nSU1NJSEhwVhuMBj47LPPiIiIKDMRmTdvHi1atMDe3h4PDw+GDx9OSkqKSZ0NGzbQu3dv6tWrh52d\nHb6+vrz66qvk5eWZ1Lt06RLDhw/Hx8cHOzs7PD09CQ0N5ejRo8YL0yerAAAgAElEQVQ6Go2GKVOm\nlIrD19eXZ5991vi8ZOh7586djBkzBk9PT3Q6nfF6RkYG48aNo379+tja2uLv78/UqVMxGAzGOmfO\nnEGj0TBr1izmz5+Pv78/jo6OdO/enT///BOAuLg4fHx8cHBwoE+fPqSmppaKbevWrXTq1AmdTodO\np6Nnz54cOnTIpM7QoUOxt7fnwoUL9O3bF51Oh7u7O+PHjzd+3c+cOYO7uzuKojB58mTj0H7J587O\nzuaVV16hQYMG2NnZ4e7uTufOnUlMTCwV0/1mMauJhRBCiPupqKiIxMRELl68SEBAAA8++KBZ4/H2\n9qZ9+/asXLmS0NBQALZt28bly5eJiIhg9erVJvWjo6NZsmQJQ4cOJSYmhj///JP333+f/fv3s3//\nfuMJXkuWLMHOzo6xY8fi5OTE999/z9y5czl37pzJsHS/fv349ddfiYmJwdfXl8uXL7Nr1y6SkpJo\n2rTpTWNXFKXM8piYGFxdXZk4caLxJA29Xk+nTp04e/Yszz//PPXr1+eHH35g8uTJnD17loULF5q0\nsWrVKvLz84mJiSEtLY2ZM2cSFhZGSEgI27dv57XXXuPkyZO89957jBs3jqVLlxpfu3LlSiIjI+nR\nowczZswgLy+PhQsX0rFjR/bv32/cyk5RFFRVJSQkhMDAQGbPns327duZM2cODzzwAKNGjaJ27dos\nWLCA6Ohonn76aZ5++mkA4x3b6Oho1q5dy+jRo3nwwQdJS0tj3759HDp0iPbt29/063fPqdVYenq6\n8SEsz/79+9X9+/ebOwxRAdKHlq+q9GFubm6ltpeRkaE+/vjjKmB8TJo0qVLf43YtXbpU1Wg06r59\n+9T4+Hi1Ro0aak5OjqqqqhoZGam2a9dOVVVVDQgIUDt37qyqqqru2bNHVRRFXbFihUlbJeWLFi0y\nlpX1tYuLi1O1Wq167tw5VVWL/71UFEWdPXv2TWNVFEWNjY0tVe7r66sOGzbM5DMpiqK2a9dOLSoq\nMqk7bdo01dHRUU1KSipVrtFojOV//PGHqiiKWrt2bTUjI8NYb8KECaqiKGrz5s3VwsJCY3lERIRq\na2ur6vV6VVVVNTs7W3V1dVWHDx9u8j7p6emqu7u7OmjQIGPZ0KFDVY1Go06dOtWkbuvWrdWHH37Y\n+PzKlSvlfg1cXFzUmJiYUuW342bf35WRy8gwsRBCCHGD119/nV27duHm5kZoaCharZbY2Fg2b95s\n1rieeeYZ8vPz+fLLL9Hr9axfv57BgweXqrdmzRp0Oh09evQgJSXF+GjUqBEeHh7s3LnTWNfOzg4o\nnu+WkZFBSkoKQUFBGAwGfvzxR6B48YqNjQ3ffPMNaWlplfZ5RowYgUZjmop8/vnntG/fHldXV5PY\nu3btiqqqpRZnhIWFmQwxBwYGAhAZGYlWqzUpLygoMA4hb926lfT0dMLDw03ep6CggA4dOph8jUoM\nHz7c5HmHDh04derUbX1WJycn9u3bx4ULF26r/v0kw8RCCCHEDXbs2AHAf//7Xzp27Mj48eN59913\n+d///kfPnj3NFpeLiwvBwcF8+umnaLVacnNzGTBgQKl6x48fJzMzEw8Pj1LXFEXh0qVLxue//vor\n48ePZ9euXeTm5prUKxm6tbGxYebMmYwfPx4PDw8CAwMJDQ0lMjISb2/vu/osiqLQoEGDUuVJSUn8\n8ssv1K5d+5axA9SrV8/kuZOTE0CpuErKS5LZ48ePo6oq3bp1K/N9rk8kAaytrUt9PV1cXG47OX7n\nnXcYOnQoPj4+tGrVipCQECIjI41D0eYkyaAQQghxg5JtWk6dOkX79u05ffo0cO0umjlFREQQFRXF\n1atX6datG25ubqXqGAwGatWqxWeffVbmwhIXFxegeKFGyeKJ6dOn4+/vj729PefPn2fIkCEmCzbG\njh1L3759Wb9+Pdu2bWPq1KnExcWxceNG45Gw5SnvBLGytsMxGAx06dKFCRMmlBn7jQnkjUnbrcpL\n2jQYDCiKwrJly/Dy8rpp/ECpO5h3KiwsjI4dO7J+/Xq2bt3KvHnzmDVrFsuWLWPgwIEVaruiJBkU\nQgghbjB06FD+9a9/MWzYMF544QVyc3OxtbUlPDzc3KHRp08fbG1t2bt3L8uWLSuzjr+/P9u3bycw\nMBAHB4dy29q5cyepqamsW7fOZBHD9u3by6xfv359xowZw5gxY7hw4QItW7Zk2rRpxmTQxcWF9PR0\nk9cUFBTw119/3fbn8/f3JzMzk86dO9/2a+6Gv78/qqpSq1atStusu7yFMiXc3d0ZMWIEI0aMICMj\ng8DAQCZNmmT2ZFDmDAohhBA3GDNmDJMnT8bW1pbc3Fzq1KnDV199ZfYVxVB8N23BggVMmjSJp556\nqsw6AwYMoKioqMxtXgwGgzFh02q1qKpqcgdQVVVmz55tktjk5uai1+tN2vHy8sLd3d0k+fP39y91\n+kZ8fHy5dwbLi33//v1lzs/MysoiPz//ttu6meDgYJydnYmLi6OgoKDU9StXrtxxmyWJ941DxwaD\ngYyMDJOymjVr4ufnVyp5Nge5MyiEEELcQFEUJk2axIQJE7h69Spubm63vOtzL904XDpo0KCb1u/Q\noQMvvvgi77zzDocOHSI4OBhbW1uOHz/OF198wdtvv01UVBRBQUG4ubkRFRVFTEwM1tbWrF27luzs\nbJP2kpKS6NKlC8888wzNmjXD1taWjRs3cuzYMWbPnm2sN3z4cKKjowkLC6N79+4cOnSIrVu3ljn/\nr6whYIDx48ezYcMG+vbtS1RUFG3atCE3N5fDhw/zxRdfcPjwYXx8fG73S1fue+p0OhYsWMDgwYNp\n1aoV4eHheHh4cPbsWbZs2UJAQACLFy++o/bt7Oxo1qwZq1evpmHDhri5ueHn50fjxo2pW7cu/fr1\no2XLltSsWZPExEQSEhKIiYm5q89SmSQZFEIIIcphbW1NrVq1zB3GbSei19ebN28ebdq0YcGCBUyc\nOBErKyt8fHwYOHCgcVjUxcWFTZs28fLLLzN58mRq1KhBWFgY0dHRtGjRwthWvXr1GDx4MDt27GDV\nqlUoikKjRo1YvHgxQ4YMMdYbMWIEf/zxB5988gkJCQl07NiRbdu20bVr11KfobzPZGdnx65du5g+\nfTpr1qxhxYoV6HQ6GjZsyFtvvYWnp6dJG2W1U17bN5b379+funXrEhcXx5w5c9Dr9Xh5eREUFMSo\nUaPuqs3FixczZswYXnnlFfLy8hgyZAgLFy5k9OjRbNu2jQ0bNlBQUICfnx+zZ89mzJgxZbZ7Pylq\neal5NVCySgqurTISluPAgQMAtG3b1syRiLslfWj5qkof6vX6KrG4Q4h74Wbf35WRy8icQSGEEEKI\nakySQSGEEEKIakySQSGEEEKIakySQSGEEEKIakySQSGEEEKIakySQSGEEEKIakySQSGEEEKIakyS\nQSGEEEKIakySQSGEEEKIakySQSGEEEKIakySQSGEEEKIakySQSGEEEKIakySQSGEEEKIakySQSGE\nEKIKW7ZsGRqNBo1Gw549e8qs88ADD6DRaOjSpct9jk5cLzc3l9jYWHbv3m3uUO6IJINCCCGEBbC3\nt2flypWlyvft28epU6ewt7c3Q1Tiejk5OcTGxvLNN9+YO5Q7IsmgEEIIYQFCQ0P5/PPPKSoqMilf\nuXIlTZs2xd/f30yRVY6cnBxzh1BhqqqaO4S7IsmgEEIIUcUpikJ4eDipqakkJCQYyw0GA5999hkR\nERFlJiLz5s2jRYsW2Nvb4+HhwfDhw0lJSTGps2HDBnr37k29evWws7PD19eXV199lby8PJN6ly5d\nYvjw4fj4+GBnZ4enpyehoaEcPXrUWEej0TBlypRScfj6+vLss88an5cMfe/cuZMxY8bg6emJTqcz\nXs/IyGDcuHHUr18fW1tb/P39mTp1KgaDwVjnzJkzaDQaZs2axfz58/H398fR0ZHu3bvz559/AhAX\nF4ePjw8ODg706dOH1NTUUrFt3bqVTp06odPp0Ol09OzZk0OHDpnUGTp0KPb29ly4cIG+ffui0+lw\nd3dn/Pjxxq/7mTNncHd3R1EUJk+ebBzaL/nc2dnZvPLKKzRo0AA7Ozvc3d3p3LkziYmJpWK63yw2\nGezZsycajYb//ve/JuXp6elERkbi7OyMs7MzUVFRXL161UxRCiGEsFQrVqygcePGODs706FDBw4f\nPmzWeLy9vWnfvr3JUPG2bdu4fPkyERERpepHR0fzyiuv0K5dO95//31GjRrF2rVr6dKlC/n5+cZ6\nS5Yswc7OjrFjxzJv3jy6du3K3LlzGTZsmEl7/fr147///S/Dhg1j/vz5jBs3DkVRSEpKumXsiqKU\nWR4TE8PPP//MxIkTjUmkXq+nU6dOLF++nKioKD788EO6du3K5MmTiY6OLtXGqlWr+OCDD4iJieGV\nV17h22+/JSwsjEmTJrFx40Zee+01oqOj+frrrxk3bpzJa1euXEnPnj2xt7dnxowZxMbGcvr0aTp2\n7GjyuRRFQVVVQkJCqF27NrNnz6ZTp07MmTOHhQsXAlC7dm0WLFiAqqo8/fTTrFixghUrVjBq1Chj\nf3z44Yf069eP+fPn8/rrr+Pu7l4q8TQL1QK988476pNPPqlqNBr1iy++MLkWEhKiBgQEqPv27VO/\n//57tVmzZmrv3r3LbCc9Pd34EJZn//796v79+80dhqgA6UPLV1X6MDc3t1LbW716tQqYPFxdXdWz\nZ89W6vvcjqVLl6oajUbdt2+fGh8fr9aoUUPNyclRVVVVIyMj1Xbt2qmqqqoBAQFq586dVVVV1T17\n9qiKoqgrVqwwaaukfNGiRcaysr52cXFxqlarVc+dO6eqavG/l4qiqLNnz75prIqiqLGxsaXKfX19\n1WHDhpl8JkVR1Hbt2qlFRUUmdadNm6Y6OjqqSUlJpco1Go2x/I8//lAVRVFr166tZmRkGOtNmDBB\nVRRFbd68uVpYWGgsj4iIUG1tbVW9Xq+qqqpmZ2errq6u6vDhw03eJz09XXV3d1cHDRpkLBs6dKiq\n0WjUqVOnmtRt3bq1+vDDDxufX7lypdyvgYuLixoTE1Oq/Hbc7Pu7MnIZi7szuH//fubNm8eSJUtK\n3RI/duwYCQkJLFq0iEceeYTAwEDi4+PZsGEDx48fN1PEQgghLM2cOXMAeOuttzh37hyPP/44qamp\nLFu2zKxxPfPMM+Tn5/Pll1+i1+tZv349gwcPLlVvzZo16HQ6evToQUpKivHRqFEjPDw82Llzp7Gu\nnZ0dUDzfLSMjg5SUFIKCgjAYDPz4449A8eIVGxsbvvnmG9LS0irt84wYMQKNxjQV+fzzz2nfvj2u\nrq4msXft2hVVVUstzggLCzMZYg4MDAQgMjISrVZrUl5QUGAcQt66dSvp6emEh4ebvE9BQQEdOnQw\n+RqVGD58uMnzDh06cOrUqdv6rE5OTuzbt48LFy7cVv37ycrcAdyJzMxMBg0axKJFi6hVq1ap6999\n9x06nY5HH33UWBYUFISjoyN79+6lYcOG9zNcIYQQFqpkblnv3r2pW7cujz/+OLt27Spzztn95OLi\nQnBwMJ9++ilarZbc3FwGDBhQqt7x48fJzMzEw8Oj1DVFUbh06ZLx+a+//sr48ePZtWsXubm5JvVK\nplnZ2Ngwc+ZMxo8fj4eHB4GBgYSGhhIZGYm3t/ddfRZFUWjQoEGp8qSkJH755Rdq1659y9gB6tWr\nZ/LcyckJoFRcJeUlyezx48dRVZVu3bqV+T7XJ5IA1tbWpb6eLi4ut50cv/POOwwdOhQfHx9atWpF\nSEgIkZGRNGrU6LZefy9ZVDL4/PPPExoaSo8ePcq8npycXOY3j7u7O8nJyTdt+8CBA5USo7j/pO8s\nn/Sh5TN3H9avX994h6syPPzww5w4cYJBgwYRHBzM4sWLjeXmFhERYZwP361bN9zc3ErVMRgM1KpV\ni88++6zMhSUuLi5A8UKNksUT06dPx9/fH3t7e86fP8+QIUNMFmyMHTuWvn37sn79erZt28bUqVOJ\ni4tj48aNdOzY8aYx37gCukRZ2+EYDAa6dOnChAkTyoz9xgTyxqTtVuUlbRoMBhRFYdmyZXh5ed00\nfqDUHcw7FRYWRseOHVm/fj1bt25l3rx5zJo1i2XLljFw4MCbvjYzM5MjR46Uea0ybnSZPRl88803\nmTZtWrnXFUVh586dnDlzhkOHDnHw4MH7GJ0QQojqaM6cORw8eJDff/+d33//HYDBgwff8h/t+6FP\nnz7Y2tqyd+/ecoet/f392b59O4GBgTg4OJTb1s6dO0lNTWXdunW0b9/eWL59+/Yy69evX58xY8Yw\nZswYLly4QMuWLZk2bZoxGXRxcSE9Pd3kNQUFBfz111+3/fn8/f3JzMykc+fOt/2au+Hv74+qqtSq\nVavSNusub6FMCXd3d0aMGMGIESPIyMggMDCQSZMmmf37yuzJ4EsvvURkZORN69SrV48lS5Zw9OhR\nHB0dTa7179+fxx57jN27d+Pp6cnly5dLvf7SpUt4enre9D3atm1758ELsyq5EyF9Z7mkDy1fVelD\nvV5fqe15enpy4MAB1qxZw8WLF2nevDlPPvnkLf+xvx/s7e1ZsGABJ0+e5KmnniqzzoABA/joo4+Y\nMmUKM2bMMLlmMBjIyMjA2dkZrVaLqqomdwBVVWX27NkmnzU3NxdFUUzuvnp5eeHu7m6S/Pn7+5c6\nfSM+Pr7cO4PlxT558mQ2b95Mz549Ta5lZWVhY2ODjY3NbbdXnuDgYJydnYmLi6Nr165YW1ubXL9y\n5UqZU9JupiTxvnHo2GAwkJWVRc2aNY1lNWvWxM/P77Zucul0unJ/xipjxxSzJ4Ourq64urresl5c\nXBzjx483KQsICGDOnDn07t0bgHbt2pGVlcX3339vnDe4d+9ecnJyeOyxxyo/eCGEEP9YOp2O5557\nztxhAKU3Mx40aNBN63fo0IEXX3yRd955h0OHDhEcHIytrS3Hjx/niy++4O233yYqKoqgoCDc3NyI\niooiJiYGa2tr1q5dS3Z2tkl7SUlJdOnShWeeeYZmzZpha2vLxo0bOXbsGLNnzzbWGz58ONHR0YSF\nhdG9e3cOHTrE1q1by5zCVdYQMMD48ePZsGEDffv2JSoqijZt2pCbm8vhw4f54osvOHz4MD4+Prf7\npSv3PXU6HQsWLGDw4MG0atWK8PBwPDw8OHv2LFu2bCEgIMA4PeB22dnZ0axZM1avXk3Dhg1xc3PD\nz8+Pxo0bU7duXfr160fLli2pWbMmiYmJJCQkEBMTc1efpTKZPRm8XXXq1KFOnTqlyr29vfH19QWg\nSZMmBAcHM2rUKOLj41FVlejoaHr16iWLR4QQQlis270jeX29efPm0aZNGxYsWMDEiROxsrLCx8eH\ngQMHGodFXVxc2LRpEy+//DKTJ0+mRo0ahIWFER0dTYsWLYxt1atXj8GDB7Njxw5WrVqFoig0atSI\nxYsXM2TIEGO9ESNG8Mcff/DJJ5+QkJBAx44d2bZtG127di31Gcr7THZ2duzatYvp06ezZs0aVqxY\ngU6no2HDhrz11lsmI32KopTZTnlt31jev39/6tatS1xcHHPmzEGv1+Pl5UVQUJBxf8A7bXPx4sWM\nGTOGV155hby8PIYMGcLChQsZPXo027ZtY8OGDRQUFODn58fs2bMZM2ZMme3eT4paXmpuAbRaLZ9/\n/jlPP/20sezq1avExMTw1VdfAcVzK+bNm2dya/b6uiVKVhkJy1FVhqfE3ZM+tHxVpQ/1en2lLiAR\noiq52fd3ZeQyFnNnsCxlzUFwcnJi+fLlZohGCCGEEMLyWNym00IIIYQQovJIMiiEEEIIUY1JMiiE\nEEIIUY1JMiiEEEIIUY1JMiiEEEIIUY1JMiiEEOIfwYJ3ShOiXPfj+1qSQSGEEBbPxsYGvV4vCaH4\nR1FVFb1eXynH792MRe8zKIQQQgBoNBpsbW3Jy8szdygWJzMzEyg+nk1UPba2tmg09/benSSDQggh\n/hE0Go2cQnIXjhw5Apj/FBlhPjJMLIQQQghRjUkyKIQQQghRjUkyKIQQQghRjUkyKIQQQghRjUky\nKIQQQghRjUkyKIQQQghRjSlqNd6h8+rVq+YOQQghhBCiUjg5Od3V6+TOoBBCCCFENSbJoBBCCCFE\nNVath4mFEEIIIao7uTMohBBCCFGNSTIohBBCCFGNSTIohBBCCFGNVdtk8KOPPqJBgwbY29vTtm1b\nEhMTzR2SKMe3335Lnz598Pb2RqPRsHz58lJ1Jk+eTN26dXFwcKBz58789ttvZohUlGX69Ok88sgj\nODk54e7uTu/evfn1119L1ZM+rLo++ugjWrZsiZOTE05OTjz22GNs2rTJpI70n+WYPn06Go2GMWPG\nmJRLH1ZtsbGxaDQak4eXl5dJnbvtw2qZDH722Wf861//YuLEifz888889thj9OzZk3Pnzpk7NFGG\nrKwsmjdvzvvvv4+Dg0Op6zNnzmTu3Ll8+OGHHDhwAHd3d7p37052drYZohU32r17N6NHj+a7775j\n586dWFlZ0a1bN9LT0411pA+rtnr16jFr1ix++uknDh48SJcuXejbty9HjhwBpP8syffff8+iRYto\n2bKlSbn0oWVo0qQJFy9eJDk5meTkZA4fPmy8VqE+VKuhwMBAddSoUSZlDRs2VCdMmGCmiMTtqlGj\nhrps2TKTsjp16qjTp083Ps/NzVV1Op26cOHC+x2euA1ZWVmqVqtVv/76a2OZ9KHlcXV1NfaP9J9l\nSE9PV/39/dVvvvlG7dSpkxoTE2O8Jn1Y9U2ePFlt3rx5udcr0ofV7s5gQUEBBw8epHv37iblPXr0\nYO/evWaKStyt06dPk5ycbNKfdnZ2dOzYUfqzisrIyMBgMODi4gJIH1oag8HA6tWryc7OJigoSPrP\ngowcOZL+/fvz+OOPm5RLH1qOU6dOUbduXRo0aEB4eDinT58GKt6H1S4ZvHLlCkVFRXh4eJiUe3h4\nkJycbKaoxN1KTk5GURTpTwsyduxYWrduTbt27QDpQ0tx5MgRdDodtra2vPDCC6xbt44HH3xQ+s9C\nLFq0iFOnTjF16tRS16QPLcOjjz7K0qVLSUhI4OOPPyY5OZmgoCDS0tIq3IdW9ypoIYS40bhx49i7\ndy979uxBURRzhyPuQJMmTTh06BBXr15l7dq1REVFsWvXLnOHJW5DUlIS//d//8eePXvQaKrdPaB/\njODgYJPnjz76KH5+fixbtozAwMAKtV3tvitq1aqFVqvl4sWLJuUXL17E09PTTFGJu+Xp6YmqqtKf\nFuCll17is88+Y+fOndSvX99YLn1oGaysrGjQoAGtWrVi2rRpPPTQQ8ydO1f6zwJ89913pKSk8OCD\nD2JtbY21tTW7du3iww8/xMbGBjc3N+lDC+Tg4ECzZs04fvx4hX8Oq10yaG1tTZs2bdi2bZtJ+bZt\n2wgKCjJTVOJu+fn54enpadKfer2eb7/9VvqzChk7dqwxEWzYsKHJNelDy2QwGMjLy5P+swBPPfUU\nhw8f5tChQ8ZH27ZtCQ8P59ChQzRq1Ej60ALp9XqOHTuGl5dXhX8OtZMnT558D2OtkmrWrMmkSZOo\nU6cODg4OvP3223z77bcsXrwYJycnc4cnbpCdnc3Ro0dJTk7mk08+oUWLFjg5OVFQUICTkxNFRUXM\nmDGDxo0bU1RUxLhx47h48SLx8fHY2NiYO/xq78UXX2T58uWsXbsWb29vsrOzyc7ORlEUY/9IH1Zt\nb7zxBnZ2dqiqyrlz55g7dy4rV65k5syZ+Pv7S/9Vcba2ttSuXdvksXLlSnx9fYmKigLkZ9ASjB8/\n3vhz+PvvvzN69GhOnjxJfHx8xf8trNhCZ8s1f/581c/PT7Wzs1Pbtm2rJiYmmjskUY5vvvlGVRRF\n1Wg0Jo9hw4YZ68TGxqpeXl6qvb292qlTJ/XXX381Y8TiemX1nUajUWNjY03qSR9WXUOHDlV9fX1V\nOzs71cPDQ+3evbu6bds2kzrSf5alc+fOJlvLqKr0YVU3cOBAtW7duqqtra3q7e2thoWFqUePHjWp\nc7d9qKiqqt6fnFYIIYQQQlQ11W7OoBBCCCGEuEaSQSGEEEKIakySQSGEEEKIakySQSGEEEKIakyS\nQSGEEEKIakySQSGEEEKIakySQSGEEEKIakySQSGEuEOdOnWic+fO5g5DCCEqhSSDQghRju+++47Y\n2FgyMjJMyhVFQaORX59CiH8GOYFECCHKMXv2bF599VVOnz6Nj4+PsbywsBAAKysrc4UmhBCVRn6T\nCSFEOcr7W1mSQCHEP4mMcwghRBliY2N59dVXAfD19UWj0aDVatm9ezedO3emS5cuxrpnzpxBo9Ew\na9Ys5s+fj7+/P46OjnTv3p0///wTgLi4OHx8fHBwcKBPnz6kpqaWes+tW7fSqVMndDodOp2Onj17\ncujQofvzgYUQ1Zb8eSuEEGXo168fSUlJrF69mvfeew83NzcURaFJkyblvmbVqlXk5+cTExNDWloa\nM2fOJCwsjJCQELZv385rr73GyZMnee+99xg3bhxLly41vnblypVERkbSo0cPZsyYQV5eHgsXLqRj\nx47s37+fRo0a3YdPLYSojiQZFEKIMgQEBNC6dWtWr15Nnz59TOYMluf8+fOcPHkSnU4HFM8tnD59\nOrm5ufz0009otVoALl68yOrVq4mPj8fW1pacnBxiYmJ49tlnWbRokbG95557jkaNGjFlyhRWrFhx\nbz6oEKLak2FiIYSoJGFhYcZEECAwMBCAyMhIYyJYUl5QUGAcQt66dSvp6emEh4eTkpJifBQUFNCh\nQwd27tx5fz+IEKJakTuDQghRSerVq2fy3MnJCQBvb+8yy9PS0gA4fvw4qqrSrVu3Um0qimKSSAoh\nRGWTZFAIISpJeUlbeeUlq5UNBgOKorBs2TK8vLzuWXxCCNaTGhIAAAE5SURBVFEWSQaFEKIciqLc\nl/fx9/dHVVVq1aplskpZCCHuB5kzKIQQ5XB0dASuDefeK8HBwTg7OxMXF0dBQUGp6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TJs6dO8cXX3xhk07h448/Zv78+SxcuJDDhw9Tt25dBg0aVOQoQ4lEIilr9uzZg729PW+/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7hlnXjUQmocdXZ2pmrVqvj7++HvlU6fttHGcxMWmGejb3NZud2F7Ucyv7Y2Oo1P38y+fmJRYzAY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\nWTo0kYOEhARCQkL44osvcHJyynb+008/Z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yTfjzoB1rtjqy+YA9RdpbJxq6OBTyZM9URvW9RqvAHE6dOseqFYd59dURAISG\nhrFkyTo2bfoCABMTle3bDxmCwS5dWpKWlmmor2fPtoahXqBG7AiliBv9ubVQenpx96+9vb0RWyKV\nR1iY/v+8WrdubeSWSOVVGfewsLCQL774goMHD+Lg4MD48eMNKSVqm8jISNq1a0dqavEQXFBQEAcO\nHMDOzq5CrvGg/h6+9NJLLFq0CHt7e0JCQti1axcAoaGhdO3a1biNq2D3uofh4eFYW1vj6+uDELlc\nvHgWBwdz7O01KEoucPfFHFVJCP0Q8B/77dm0z469J23Q3iYA1JjqGNQ5naf7XMPV7CCffrKcdes+\nASAsLIIxYz7g+PHvAYiMvMi0aQsN72dmZhMdfYWQkNsvRLlfsbGxbN26lbw8a/z8utG3b9+7Hl8R\nsUz1D1clSZLKwMzMjNdee83YzagWGjVqRFhYGP/973+JjY0lKCiI119/vcICwQfZ1q1bAdi4cSOd\nO3fm5ZdfZuHChWzbtu2BCwaFECXykoaHh1NYWEjz5o2BHLy8VDSaTOAEiqLFzw8g7/of48vNVwg9\nYssf++3ZvN+OC1fN73hsh6ZZ9AqJYsWnz7D2g1UAJCW5s337IXQ6HaqqEhTkxxtvjDKc06iRjyEQ\nBLC1ta60QPDkyXAmTnyJrKxsTE09OHToY6ZNm1bpUw5kMChJkvQAq1+/vmF4WCo9MzP9BP/4+HiE\nEMTHx5cor8lycnLIzs7G1dUV0M8tzcnJok0bffDn72+KiUkRinIKRRFUx4XnlxPM+H2fPZv22bPj\niC25+XfOlNeiUSYnd33OP38NJMhPi06n47t5meTk5GFlZYGrqyOnTq01LHixtrZkxIi798ZVlvfe\nm0lWVjbt2rWlYcN2HD36JXPmzGHYsGGV2vsug0FJkiRJ+penn36a6dOnM3z4cBwdHUlNTUWj0fDY\nY48Zu2lllpaWRlxcHEFBQQCkp6dw9eoFnJ11QC6NG6uoqjmKEoWigKWlMVt7dxnZKtOWeLNkvQtC\n3H5s2tZKS37CH8x+3Y+n+gk8nIt48cV/cLZuBzihqipRUetLnFOnjnsVtP7uCgoKDLujzJ8/H1NT\nD/bvv8ratWs5fvy4DAYlSZIkqSq98cYbJCcn8/nnn5OamoqLiwsrV64kODjY2E27rRtDnKAP/g4f\nPkzPnj0RIh8Tkyw0mnSEiAFy8PAowMPDCkXR73qhKDkIQbWZ93c74eHnOB0fzJSFDYhNujUVjIU4\nz5CHs3lUbZ6EAAAgAElEQVThMXM6NstmzffH6d3DAg9n/W4jixdPq+oml5mZmRk2NjZkZWXxxx9/\nEBDQkf379wPgpl+FU2nkApLr5AKSmudBnbhem8h7WPM96PcwKyuLa9eu4eXlVW1WhQohyMjIMHxv\nZWVlsXHjRp54YhiQg1abSVZWMg4OKqC9Z5B3Y5u2xo0bV27Dy2DVqt9p374ZDRvWI+GaKc0GJ5Ck\n61XimECvS7w4XKF/h3TSE0/g6+uFo2PNng+7cuVKFixYSG4uWFm5ceRIIiEhIezfv9+w7/y/VUQs\nU6O3o5szZw6qqvLKK6+UKJ85cybe3t5YWVnRrVs3w4MuSZIkSWVhY2NDvXr1jB4IRkZGGpI5a7Va\ntm3bQlFRKjpdPFZWiTz2WBCKEo6qnsfMLAlHR4Gi3DsQrCwxcRoenVafhsMb8/J/63Ag3Iq7dT29\n/fZi/vrrkOH1X38dZteuo6z8w4nGTzUuEQi6OhTyvzdPE/5jEi8/nkR97wJatAiscYHgzX1xZ89e\n4OjRM4waNYY33phL/fptMDPzYOTIkWzfvv2OgWBFqR7/m1MOBw4cYNmyZTRv3rxE+UcffcT8+fP5\n5ptvaNSoEe+99x69evUiMjISa+vbJ5mUJEmSJGM6c+YMDRo0MASdP/74I4MGDcLCwhQhCkhIOI+P\njxVmZkWoag6PPtoAOG8I9tSbunZ0OtDqwMwI3/BaLXzxkxtvL/MkJ0+faPnLdRZ8uc4Nf+88nuqd\nysje1/jp20W4uDgwbtyj19uv8tdfh+nRQ7+TUq+BI/ji966ERXmVqH/0Iyl8MvHK9T2Cq/G49r/o\ndDry8wuwtNQHddHRV7h0KYGHH+4MWFO3rjuKYoOi2PP4480YPvyNKm1fjQwG09PTefrpp1mxYsUt\nG4F//vnnTJs2jSFDhgDwzTff4Obmxvfff2/IDC+VlJGRwdq1a0lISKBp06YMHDiwxN6NkiRJ0v1J\nSkrCwcHBsBr5t99+o2vXrtjaWgAFZGTEUlBgcX3eXyEDBjTC3PwM+sTNgvbtXYm8nE5SmilJaeYk\npVmTmGpKUqopyWlm18tNSUw1JSXDFFURDHs4jXkvx+LlWlgln/HEOUtemFuPw6dv3/ESHWvB+ys8\neX+FJ36ub+FQuIEhj5vi7lTE+PGPotPpKCqCz39y451lISVWCPt65rP09Uv0apN527qrm4KCQpKT\n0/Dy0q/Yvno1hdOnL9O9ezfAmnr1/PDzs0VRTFEUBSsr47a3RgaDY8eOZfjw4Tz88MMlymNiYoiP\nj6dXr+LuZAsLC7p06cK+fftkMHgb8fHxdOnShaioKEPZyJEjWbVqlWEysiRJklQ2x48fx9fX9/oc\nLsGpU//QrFlDHBzMgXx69PDByuo8iiIAQZs2DkCK4fybB7K2HrTlP7N9iEu+deHEnWhR+PEvJzYf\nsOfDcbGMH5LMTTuiVai8fIXXv7Bl8QY/tLrii9ianGfRdIXQo7b8uN2W7Lzi/H8xSd7Ai9QZIujZ\nOoOnejvRsE4eQ9+pS9iZ4g+vqoJXhycya8xVrC11lfMBKkB+fgFnzlygefNGCAH5+YLo6HQ8PJoC\nlnh6NsHLS//5FUWhun291rhgcNmyZZw/f541a9bc8l58fDyKouDuXnKJuLu7O3FxcXet98Yk6Npm\nxowZREVF4evrS7t27di4cSOrV68mMDDwnlnPq4vaeu8eJPIe1ny17R5mZ2djampq2I83LCyMOnW8\n8fZ2xcSkkKSkyxQVxWBlpaAoebi5FREff5Xr6QpLpUir8OWGZny9ucEd06jcS0a2CS//tx5frbfi\n3acPElgv9Y7H3mt+vRDCMGp0/nwc69btovvgV5j5bTti4osXLpiZanmy4z7O7Z5Mi7qTaFEXxveB\n3Se82XTYn90nvSnS6oNGrVZhy0F7thy8deFDQ+9UZj17gKZ+KVyMKc+nrzhCCFJTM3Fy0s9LLCrS\nsnv3P3Tv3gowo6hIw7lz6ShKNlqtBp1Og6WlP0ePXq30tlXE3us1KhiMjIxk+vTp7N27V/ZaVZDT\np08D8N5779G4cWNsbGz4+uuvOX36dI0JBiVJkipbQkICZmZmOF3PwHz58gVcXGyxs3NCVfNp184V\nM7NsFCUdEHh7A2QB3HXhxJ3EX7Pi9WWdOHquOKWInVU+/l7pONrk4WSbj6Ot/r9Otnn6v9voyxxt\n8jke7cqs79pyIUEfvJyMceGJD/vxdM8zvDTwBFYWRXe9/r+Dn4sX4/m//1vE2rWz9AeY2rPm4DC+\niexT4ryWDRKZOeoA9T0z4OlJhnIrC+jbJpa+bWJJz9aw9Ug9/jjoR1jkrfn9zEy1jB9wkv/0OYWZ\nadUlPLk52AU4dOg0rVsHoKomKIoJx49fpmvXDoAFimJGkybO5Oe7odOZIAT4+NSlwLAFc81K1FKj\ngsH9+/eTkpJSYvm7Vqtl9+7dLFmyhPDwcIQQJCQkUKdOHcMxCQkJeHh43LXuBzUtwr14eHhw6dIl\noqKi6N69O5GRkYB+/9Lq/jN50FNa1AbyHtZ8D8o91Gq1FBUVGXr6zpw5g1arpXHjxgiRz+XLFmg0\nOtzdbYEcWrVqin4+H4At4FJhbfljnx2jZ/uSkl78Fd3roQxWvXMBd6d/B3EqYHX9T7GQ5jBiQDRz\nv3NnzioPCgpVtDqVb7Y2JvQffxZMucLATvqUJBEREWi1OtLTi+jUKQSA1NQM2rcfSGrqDkxMTGjU\nqBEXL86kbl0fQo978dKSuhQ4Fg9b21ppmTshlnGDk1HVOtxL+4fg3fGxXIxPYs02R1ZvceJUjCUP\nt8hk8f9dItBHBwSV58dXaqmpGdjZWWNyffx8zZotDBrUA0tLZ8AcjSYAH58GmJhYoijmBAWNqJbz\n6W9OLVNeNSrPYEZGBleuXClRNnr0aBo1asT06dMJCgrCy8uLV155hTfffBOAvLw83N3dmTdvHmPG\njClxrswzCGvXruWJJ54oUebk5MTx48epW7eukVpVOg/Kl1BtJu9hzVdT72FaWho5OTl4eXkhhCAi\nIoKcnExatQoC8sjKSkFVC7G2FpQmV19FKCyCt5Z4M29NcW+ZqgpmjYnjzWcSyj3P7OxFcyZ8Wo/Q\no7YlypvVOcm6T/PJzzyDTqejc+eXOXt2HW5u+t7P9u2fY9n/5lKg+hJ12YId+5PZe8KCiLimJeoZ\n2DGNL6depo5b+ReqCAFZOSq21pU3LzAmJhZ3d2esrCwQArZvP0Lr1g9hb+8GWFFUZIaZmX6+YnUM\n+u6kImKZGtUzaGdnd0tSTGtra5ycnAzb7EyaNIk5c+YQEBBAw4YN+eCDD7C1tWXEiBHGaHK1N3z4\ncAoLC3n//fcNq4kXLVpU7QNBqWoIIdiyZQsnT57E3d2dYcOGYWNjY+xmSVKZJScnExcXR9OmTQEd\nubnXyMhIwsNDB+TRuLEO0ADnUBSwq+KUdReuahjxjh8HI4oXT3i7FvD9zBg6h2SXq06dTocQggCf\nfLZ/EUW34XsIzxzHtUx97+eJK00JebaAl4cK2gfF03Hgu3z0rSsZhd5EXTbnkuthmo25edGKX4n6\nHayzWfJGAo93T7vvYFlRqPBAMDz8HG5uTri6OgEaMjPNsLd3wsLCA7CkZ8+W16+tb7ym9OtzHjg1\nKhi8nX9H76+//jp5eXlMnDiR1NRU2rZty9atW2WOwbsYOXIkI0eONHYzpGpGCMHzzz/PihUrDGVz\n584lNDT0lkVaklQdaLVaw5DftWvXOHr0KD16dEeIPMzNs3F0zEeISBQlBw8PHZ6epkCCcRsN/Lrb\nnv/M9iEts/gr+ZH26ayccQEXB22p67l48Sr29jY4OOh7APv2fZlp056jW7fW+gA3fx2fPq3w9+UR\nrPhdP6ydna9h7g8PGerYFF26azkVraB+9gz6t/sBRTHO96sQAq1Wa8jNePToGWxsrGjY0B8hrHB0\nbISFhQtCuKIo5jRtGlyjevyqUo1fhbFjxw6++OKLEmXvvPMOsbGx5OTkEBoaWq222JGkmuKnn35i\nxYoVWFtb8+KLL9KgQQNOnz7NlClTjN00SUKr1ZaYNpSRkcHPP/+MTpeHTncNG5tMWrd2Bk6gKKex\ntU2mbl0VVc1CUXRG34c3LCyMLxYuo+eYdIZN8zcEgqYmgo9fusKGj6PvGQgePBhOVNQlw+s331zA\nhg27DK8DAnw4fbp4Ge7s2S/Rr1cgy6ddYueXkQT65N2znWamOvw80rDX/kYjm69Z8vpFjq2MoKPH\nu2jzrnL58uWyfvRyy8jI4tq14iHRI0fOcOrUJXQ6e3Q6Dxo27EK9ej2ApiiKP97eLbCzq4uqWqAo\nigwE76LG9wxKklQ5Dh48CMDkyZN5//33OXz4MG3atOHw4cNGbplUG+Tn55OQkIC7uzvm5uZotVr2\n7dtH586dEUKg0xUSEXH0eu62fGxs8njssQAU5RSKoh/yq27DfkLAlUQz5i05wNo/4kgzGU+eWryL\nVj33fNbMukD74OJhYZ1OZ8iesXXrAUxMVMMuHevXh2JlZcE77+hz6Pbs2Ybs7OIA77//nYLZTduQ\nBAc3MPy9S0gWx1ae5pPv3fnqV1sQ0MRfR4M6+TSqm0/Duvk0qptHPfcCrl69wpAhQ9FkmNHMfT5Z\niVri4/UpU26srq4M8fHJpKdn0aiRL6CQnJxPXp6Cg4MnYEmLFkGoqiWgHyW0tb1bbdLdyGBQkqTb\ncnR0BGDv3r0kJiby559/AuDg4GDMZkmVqLCwkCVLlnD8+HFcXV0ZP348vr6+VXb9qKgo/P39Wbp0\nKVOnTiUvLw9HRwc+/vh9Ro9+EldXKCo6h6rmY2qaT69e3ijKpXtXbAQ6HZy7Ys7RSCuORVpyPNKK\nY1GWJKeZAU3BrOTxrqab+fqVDJLOx0GwfkOFpUvXER4ezYIFrwP6LczCwiIMweAjj3Tk3Lninrnn\nnx9CRkYGq1atIj4+Hl9fXwYPHmxYIf1v5hrBjNHxDGuzA+COo2h169ahZ8+ebN++nZdemmgoHzCg\nP25ubrc9p7SKiooMw7xXriQQGXmZbt3aIoQV5ubmWFsLhPBFUSzx8zORvXuVRAaDkiTd1qhRo5g3\nb94tcwRfffVVI7ZKqixFRUX079+fbdu2GcqWLl3K33//TXBwcIVcIyEhAWdnZ8OX/8aNG+nevfv1\n1Z0FJCTEEB19iK+/nkWzZnbY2bmRlZXM4sWvUL9+Ll27dgXuP41GZTl61pJvNjtz9KwV/0RZkpV7\n7y0/VAqpxzQcsv7LhXPT2LLlEIMG6YNBDw9nNm3aazi2b9/2eHg4G1536dKSLl1aGl6npKTwn//8\nhytXYg1lf/yxiaVLl2BhYXFfn+3992fh6enBrl27UBSF7t27M27cuDLVIYQgOzsXGxt9GpzExFQO\nHAhnwIB+gDVubnVxcekE2KIo4OiocP3/SaVKVuPnDEqSVDnq1atHaGgobdu2xcrKCj8/P5YvXy4X\nGz2gVq9ezbZt23Bzc2P+/Pl0796dtLQ0Jk+eXO46T58+TVZWFkKI6+lbTpCdHYdOF49Od4lOnepg\nbh4N/IOiRNCpkzM7d64E4hk1qj9btvzMqFEj0Om0bNq0qaI+aoU7csaSwa/Xp/V/gljwkxt7T9jc\nMRA0EZnY6HZRx2QxY7quIzC3O455/8XM1IROnVoyaFAXw7H9+3fil18+Mbz28/Nm6NBud2zH4sWL\nuXIllgYN/Hn55Yl4eLgTHh7OmjU/3Pdn1Gg0TJo0ifXr1/PLL78wceJEwz7Ld6LT6UhIKN5iLycn\nn23bjqDTOaDTeePs/BADBryEojRCVeug0bhhYWEn5/cZgewZlCTpjkJCQjhw4ICxmyFVgRu7EY0d\nO5ZJkybRr18/AgMDOXPmzB3P0c/dK57TdujQIerWrYuHhztC5KEoGeh0sQhhgqLk0LWrE4qSZDhf\n3+tTMp1IYaE+qbKLiysArq6u18vLn8Ousvx1QMu0RU6ERfvf9n0n2zzyUg7wyvOBtGiUQx3HWP5Y\n9y3x8WEcO3acsM36ZDagz+oQGOhHYGBx+pYbPailFR2tXwo8efJk2rVrh62tLbNnzyE6+ly5Pl95\nhIVFXM/VqCCEwsGD53jkkQaoqi2WltYMGdIekMFedSODQUmSJAlv/f5prFu3jh49ehj2f79RDvpE\nzaqqYnc9Cd/u3btJTU3Bz88TnS6J+vUtsLZOBuJRFB2Bgabc2JKttNq1a8fOnTuZN+9TQkN3cOzY\nMUO5Mdy8RVli4jXee28Zoye+x6z/efLHvlsT/NoWbOK7+Y1oFZCLs10OR49eoH37G0kLrWnfYjxZ\nWVnMn/8Zhw4dRKPRMGDAQJ59dtR9t9XZWT+EvHHj7zg4OLB167br5RW3O0pBQSGmpiaG/wHYtGkP\nXbu2xtLSFiEsMTV1p7DQG1NTW1TVkoEDW8nArwaoUTuQVDS5A0nNVlN3PpCKyXtYfWRkZNC6dWui\noqIMZYqisHLlSp555hkAIiJOYGmp4OvrBuSi02UTFXUCIbQVlsJLp9MxZ84cfvllvaFsyJDBTJ8+\nvdL3pNdvb3qMbt30z2NWVg4NGgwlLm4zqqqy9x8ND4+8jM6+X4nzFEXweLc0Zjx3leD6907XUllO\nngxnzJgxFBUVb1lnZ2fL6tWr8fLyuuN5ERERwO0XkFy7lo6NjRUajRlCwG+/7aJLlw44OLgDlly7\nlouDgwcmJvo5iTLwq3q1bgcSSZIkqWIVFBSg0Wiws7Pj22+/Zc6cOVy7loyfnydPPDGUli2DEOIc\nipJL48ZF1/Pz6RcoqCoIUfqkyKWhqirTp0/niSee4MqVK3h716Fhwwb3PrGcpk79jA8/nIC5uQZV\nVRk8+DViYn7D2dkBGxsrzMxM2bAjn682B/PnAXuwL15MoyiC4d1TmTE6niZGDAJvaNo0mKVLl7B0\n6VLi4+Px8fHh1VdfvWsg+G9xcUnY2FhiZ2eDEHD6dCwNGgTi6uoNWDJ4cDPA1BD0uVRcp6NkRDIY\nlCRJqiXy8/PJyMgwzMM7d+4csbGX6dy5NZBL06YOfP/9e1haagFxPfDTARlV3tYGDRrQoMG9g0Ah\nBLt27eLkyZNYW1vTr18/PD09De8XFBSiqoph/l337uP59ttZeHvrU6Js3ryPZ555hObNG6EoCiNH\n9iU1NRMnJwf+/seGwKERDHu35JJWRRE80UMfBDb2M34QeLOQkBAWL15c6uNjYmJJSLiGu7sTQqik\npQlU1R4bm3qAFR06lNyyTXowyWBQkiTpAZWVlcWFCxcIDg5GCEFGRhrnzp3C2TkYyKV+/UL8/e2B\nSBQFrKyM3eKyKSyCN2au5Zct8eSrgWjEJb5Y/BJLFrxFu3b6od6HHx7Lp5++SseOIQBYWGg4fDjC\nEAzOnj0BF5fi3JmLFk3jzwN2PDfPg70nSu7DrSiCJ3vqg8Ag3+oVBN6JVqulsLAICwt9rsGIiPMU\nFmpp1izwei4/b0xNBYWFbkBzgoJCZOBXC8lgUJKkai8sLIy33nqLCxcu4O/vz9y5c2nevPm9T3zA\nCSHIzMw0LOjIysoiNDSUAQP6I0QBqpqFqWk6Ol0MkIeLSy4uLvYoyu23EBMCDp6yYscRW1oF5tC7\nTabRt227IStH5Z9zlhyPsuRYpD6P38locwqKWhYvyQUui0IeeW03C991ZHDndFq2DCQy8pIhGFy2\nbAbOzsXzqgYP7gqAVgu/7HJgzioPjkeVjIpVVfBkj1Sm14AgMCsrh+zsXNzdnRECIiMvk5lZSOvW\nDwGW+Ph4oKrWgD6Fi5eXQlycoLAQFEVmm6utZDAoSVK19s8//9C5c2fy8vRfwlFRUezZs4fDhw8T\nGBho5NZVLZ1Ox7lz52jUqBFCCAoKCti+fQtDhvQB8rCwyKFLF2/0+/FqsbKCwEAL4Nod6xQCws5Y\nsfYvR37a4cClhOLdKrqEZDL3xVjaBedU+me7mU4HR89asT3MliNnzPknyoroOEuEKEVkqpiRRg+e\nfg+sLbUM7rQIz6BUiooyMDXF0CN4Q2ERrN7ixEffeXD2UsnEzGamOkb1u8brIxNoWDe/Ij9ihcnI\nyOLq1WQCAnwRAjIytCQlaQ1z/AICmqIo+nyAiqJgbW3c9krVkwwGJUmq1j799FPy8vIYOnQo77zz\nDtOnT2fTpk189tlnLFmyxNjNq3T79u2jbdu2qKqKomi5ejWa+vVtUNU8zMxyGDrUH4hCUfQLOvSL\nCe++qEMIOBZpydodjvy0w5GYuNtvV7b7uC0dxgUytEsaH46PJdCncgIiIQQFhSo7jtjy9Totu8O9\nScm0ufeJgKn2AjZKBI8+4sPu41ZExRfn6cvONeH7bc58v80ZN8dChvdIZWTva7RpnENegcLyjS58\n+r1biQAYwNJcxwuDknltRAJ13Y2f3/DmXI6ZmdmcPHmO9u2bAyaAA0Ko6HT1ASs8PTV4eVWT7lyp\nxpDBoCRJ1VpCQgIAzzzzDCEhIYwYMYJNmzYRHx9v5JZVDK1Wi6Iohi/77du307ZtW2xsLBEiBycn\nQVFRNGZmhShKPl26uKEoV8t8HSHgxLkbAaAD567cfnsyR9siOjTNZstBO4q0+qBi/W4HNuy157n+\nKcz8z1W8XMsfIEVGXuTy5QR69GhDSroJb318nu3HPEkqeOiu27eZmAiCfPIIrJtGQJ1UurU1JaBO\nGlNeGcm5c9Ec/RVsgMaKL8EPL+Jk/MOcvmBpOD8x1YyFP7ux8Gc3GtTJIyPbhMTUkjto2FlrmfhY\nIq8+noSrYxFVpaCgEI3GzPD38PBoWrYMRAjIzs5lw4bdPPnkIECDubkTdeo4IoQ/imKBra1CYKAM\n/qT7I4NBSZKqteDgYLZt28abb77J2bNn+eqrrwBo2rSpkVtWPgkJCdjZ2WFpaYkQgk2bNtGmTUtc\nXW2AXJo3d8bcPAYoQlHE9WHezHJfT6uFJb+6sPBnt1uGQW+wtyliaJd0Hu+eSo/WmWjMBNFXNLy9\nzIsftjtdr0fh6w0urN7ixKvDE3l9ZAIOtrfvgbw5UfO+ff8QGhrG9OnPA7Bj7zUWrNbitr4he07Y\noNXefu6ns30R/dun07F5FiENcwmun4ul+b/T4pqyZMkSPv10HidPnsDa2prhw59gyBBX4DTHoyxZ\nvdWJH7Y5EpdcPLHw34Gwq0Mhk55IZMKwJOxtdFQmnU7HiRNRhIQEIIR+x5W1a//iqaeGAOYoioqp\naS46nQ9ghpWVhiefbIei6ANljUahXr1KbaJUC8mk09fJpNM1j0xYXPOV5h6mpqbSsWNHw3ZpoE+f\nsXv3bmxtbSu9jffrzJkzODk5XU/nIjhyZD/16rnh4mIF5CFENqpaRHEql4pz+oIFY+bUY3/4rUOu\ntlZaBndOY3iPVHo9lIm55vZfBUfOWPLmYm/+CrMrUe5kV8Rbz8bTof5fJMbHM2hQLwD27DnO9Pd+\nZu78+UTHmrPncAZrN0TTpFUvomPNiU+58362DerkMahzOoM7pdE+OJsy7sZ2R1ot7Dxmy+qtjvyy\n05GMbH1gVcetgP97KoHnByZjZVFxX4XJyWk4O9sbAuKfftrOkCHdMDW1RAgLjhyJpEWLVqiqJWBx\nfU6f/lhjrOSV/5bWbBURy8hg8DoZDNY88h+wmq+09zAzM5Nly5YZVhOPGTMG62o6Ez4iIgKNRoO/\nf32EyCUu7jzW1mBvr0FRcgBdpa/QLSyCT1a7M2uFJwWFxStErS21DOqUzvAeqfRpk4HFLT1td7bt\nkC1vLvbmWGTJlbaudunkxK6lV//HOR+nIfqKhuy80kVxiiJo1ySbgZ3SGdw5nUCfvEr/2eTmK4Qe\nsUVVoXsrfS/o/TpxIoqAAB80Gg2g8McfB+jevSsWFnaAORkZBdjZuZZYyFGdyH9Laza5A4kkSbWC\nra0tU6ZMMXYzDLRaLSYm+t6lM2fOkJWVRcuWzYAcPD1VTE2zubGit06dG2cVVEnbjkVa8vxsnxLp\nUUxNBG89G8/rI+NL1QOWmZmNra0+2M7KymHYsP9jy5aFHG6dyapN1jw/U4Mw1y/USMqwB9sX+HV3\n6dpnodHR66EMBnVOZ0DHdNydqm5uHoClueCRDmVLol1UVISiKIZ7vnNnGE2bNsTJyQkhLFFVF4qK\nvDAzc0RRrOjfvwVQHPQ5ONyxakmqFmQwKEmSdBc5OTlkZGTg4eEB6FPbxMZeoUuXNkA2Pj4KqmqG\nooSjKAJHx7vXV1ny8hVmrfDkk+/d0WqLe55aB2az/K2LNPW/c368v/46RLdurVFVlcLCIjw8+pCQ\nsBUbGyusrS05duwsV68m4+XlyugB2Vw99RVm3hP4eE09ktNuHfa1tdLi752Pv3c+9b3z8fXII+LY\nzxzcuQJtZiQOCYF0D56Ju5PfbVpjfHFxSdjaWmFra40Q8NdfYTRp0hgvLx/AgqZNe2Nr6wJYoygK\nwcEBxm6yJN0XGQxKkmQUBQUFHD58mJycHDw8PKhT3IVW5W5e8JCamkp0dDStWrUCICvrGnFxMbi5\nAeRRv34RDRo4AGdQFLC0vGO1VWbfSWvGzPHhzMXihREWGh2zXohj0vDEW+beLVjwA08//QiOjvp5\ngGPGfMCff35BQIAvZmamtGoVRExMHE2bNkBRFLZt+xInp+I5g9PeGAmkM3boKf67Kp/ULHPahdhT\n30sfADrba0sM9y5evIR9m742vA4PP8X48S/y448/4GCkbrOb07WcOhWNra01det6AGZcuyZQVVus\nresAFvTuXXI/XmdnozRZkiqNTDdeCXJzc0lMTKQWT8eUpLuKi4ujdevWTJgwgalTp+Lv78/q1aur\n5NpCCLKysgyvU1NTWb9+PTpdATpdOubmGbi7axEiEvgHV9cEWra0QlVjUdUUTExyUJTKn/dXGlk5\nKq9+VofOLzYqEQh2bp5B2PITTH1KHwhOmfJfTpyIMry/bt0OwsIiDK9HjuxLZmZxYuldu76iadPi\nfbaV/MAAACAASURBVIFDQgIM25ndzM5ax/CHoxjXP5wRvVJp2yQHFwftLT+bn3/+GdDnjNy5cyeB\ngQEkJyeze3cpx5bvU15ePllZxZ/v0KFTnDx5Hp3OGp3OGTe3YBwcQhAiGGhKkyZ98fBogaq6oqq2\nKIpZtZvnJ0kVSQaDFaiwsJAJEyZgY2ODu7s79evX5//ZO++wqK70j3/uVGaAoUoREBAUsWNBE117\nb4maomu6ifEX3Zi+JpvV9GQ3ZZPNuqYnRuOq0UTjRsUeu0lEo4hgVEApUoShD8zMvb8/BgdZNVIF\nzPk8z31mzp25576XYWa+c855v+/+/fubO6xWw3fffceECRMYOnQoCxcupKKiZTr+CxrO/fffz7Fj\nx/Dz8yMmJobKykruv/9+kpOTG/1csiyTnp7ubFssFuLiNiLLRcjyeUymAiZMaF81zXsKozGPkBAN\nKlUJknS5sGlubDb49ZyeFVu96H5PNO9/7eeszOFmsLPoqbN4ZU7mxOEtzmPy8sw1xN+8edMJCPB1\ntl955RH69OnsbDe28CkrKwUcNkHu7m6Ehzumh0tLm6aySWGhoyoHOPwVU1OzOXOmAFlugyy3o1ev\nyXTvfjuSFIVKFUabNp0xmYJQqfRIkiSEn+B3h5gmbkT+8pe/sHjxYgCMRiOpqamMGzeOhIQEgoKC\nmjm6ls0XX3zB/fff72zv3LmTgwcP8v333zsXbQtuDOx2O9u3bwdgyZIl+Pr68tJLL7F+/Xp27dpF\nVFTD118dP36c6Ojoqi91hYSEeAICtKhUFvT6cqZMqa7aAdAS/8WKSlUkn3UhKc2xJafpSUpz4dd0\nPVbb5b/jOwUksWmRlXYBVjLj25OWVm1M/dxzD2AyVWdfT5489Lpcw0V69OjBTz/9zOzZDxMZGcm2\nbduq9ndvlP7z8wvJysqjc+cIQKK0FMxmDf7+IThKsvUEVE6RpxLDIAJBDYQYbES++OILALZs2cLg\nwYMZMWIEu3btYt26dTzyyCPNG1wLRlEUnn76acAhqHv27MmsWbOIi4tjx44djBgxopkjFDQmKpUK\nnU6HzWZzGjBfrCai11+5LNq1SEhIICIiAhcXF8BGaWkuFRVG9HobklTK6NFBSFL6NftpbMotCvEn\nrMiSiQqrljKLivIKFWUVEmUW1SVtx/1Si4q0LB1JaS41TJJ/C2+TjXsHbaN36CHaBYwB4KWXZtcY\n3erUKawpLq/WLFiwgP/7v/8jNTWN1NQ0JAkee2wenTt3vvbBOLJ5CwtL8PFxrC/MzS3gp58SGTt2\nEIpiQKMx4OrqgaJ0QJKMBAaqRUk2gaAOCDHYiFyc1gwNDUWr1TpHA8V0529jsVjIy3NM6bz00kuo\nVCrWrFnDihUrSEtLa+boBI2NJEncfffdfPjhh9x33324uLhgsVjw9fVl7Nixterj+PHjBAYG4uXl\nhaJUolKVYLOdrUoEKaNvX3ckKb+Jr6Qmdjskn3XhpxNGfjzhyvaDNk5meKNQP4H7W/h5luFtSKdH\nZCHPzyylS4c2wBjn4y1tmrNt27YsX76cffv2UVJSQpcuXejYsWON59hsNjRVmS4WSwUJCafp06dz\nVUm2SuLj0xg+vD1gwNMzjGHDYgF3JAlMJgmT6fLzCgSC2iHEYCMyfPhwvv32WwYPHkynTp3YsWMH\nKpWKIUOGNHdoLRqDwUBQUBAZGRnMmjWLHj16sH79eoDLvjAENwbvvvsuFouFL7/8EovFQmRkJCtW\nrKiq0uEwmVar1RiNDq+8Q4cO4eXlRXh4OIpiwc3NilqdiaJkIUkWOnfWAiW/ccbGRVHgbLbOIfwS\nXfn5hJFDyUaKyxpvvlmiks7hdjqFWggPKCbEt4Cbeuoxqk4x/+nZZKRkcjIFZu124dVXX2nxnzOu\nrq6MHOmoUmKz2fjll5P06OF4f5eXV/DNNzuYPt1Rkk2lUuHqKiPL7QE9JpMLI0YMrDHNq716IROB\nQFBHRAWSKhqjAklubi5jxowhPj4eAI1Gw6JFi5g1a1aD+77RWbduHVOnTsVur651OmPGDJYuXXrV\nUQ7hmt+6URSFPXv2UFZWRkREBFqtlnZVRVd/+SUeNzct7du3BSopLr6ATqfg4iID1zepQ1EgM0/L\nz0lGDiUZiU828nOSkZyC2qmR8MAKbJZzZKanERSgp1/fLljKzOzeuZcH7h+JUS9jrShi2+YfeHDm\naAJ9bES1KyM8sBKt9vILnTHjLpKSkggJCcbb25tffjmKi4sLa9d+6xTT15PEREdiyv9O+ZaVWTAa\nHRnOsiyzevV2pk4djiQZURQ98fHJ9O7dB9ADOiRJx8WcxpY2snmjIz5LWzeiAkkLo02bNhw4cIA9\ne/ZgNpuJiYkhLCysucNqFdxyyy3s2bOHzz77jJKSEgYNGsSsWbPEl8INgsViobKyElPVXN4vv/xC\nRYUFNzctHh4GTCYLanUpimJBkiro0UMCrEiSY5nA9aoWeSXhdyjZSHZ+7YSfv7eV2OhSclPX8tOO\nlbzzUnf+9H938t13G5g8eQFDenbli5e/oLLSyuLFvzBv7iUCam4f4MIlvV3+v19cXExSUhIajYav\nvvoKo9HIgw8+xJEjRzh27BjDhg1r2B+gAaSmZhIc7IdGo0FR4L//3cuECaNxcfEEDIwadReS5Ick\naVCpJPr2jWi2WAUCQU2EGGxktFotQ4de30y9G4X+/fvTv3//5g5D0AiYzWbMZjNhYWEoikJmZgZm\ncw49e3YAyomO1qLRyCQlHQcU/PwuZro27lSvLENJuYqiUnXVpqLQed+xFZaqKSxR8es5lzoJP0ku\nwlv3C3dPDqVPpzJmTptIyvmluLjo2LAhnVvXxvHFJ1s5nbyfw4cPExUFffvGAqDTaZk3b3qdr0ej\nccRms9nIycklIMCfggLH2kittnYJJ43FoUMn6NixHQ7RqiUz04KPjyeurj6AgdtvjwGqbVpESTaB\noOUixKBAIGgw+fn5nD59umqayY7NVkhFxXlkWQLKCQ8vxzEV6Bjp0zl1S9OsUlkW583CTwJJzdI5\nPfgagpvBjlz8Iwb5IGMHGbljXCC3TZiKf4SNfoFPc+eYO1k5OIj09GwiI0MYO3YsL7+cwKpVq9i9\new8Ao0YN5KGHHmxQHAaDC6NGjWTz5i3cdttt6HRaKiuttG0bSO/evRp8nZdSXFyKVqtxmk1v3foj\nUVFhBAWFAgZ8fKJQqYKpqNAjyxpuuqmXGMkXCFopQgwKBIJaUVZW5kzoMJvN7Nq1i4kTx6MoZbi4\nlBAUBIqShCSV4+Oj4OurBfKua4x2O8xfHMTb//Gvdx9uBjsxHctIS9zArD+2Y8poEx2CK/D1HYxX\nGxuvPvYtISFBDBncmbS0o+TnO0bm1q17x9mHJEn8+c/PMHnyraSmpuLv70+3bt2c5c8awvPPP4+i\nKGzZspXKSisdO3bg9ddfd7429SUjIwcXFx0+Pp4oChw/fpa2bUMJDvYDXLj55na4uHgiSY6ybGFh\nDuNouz0DUIQQFAhaMUIMCgSCy5BlmezsbAIDAwGHEPz++/8ydeo4oAw3t1JGjAgFfkGSFIxGMBpV\nQNNUlKgNRaUq/rgwnA37ay4wdDXYMRntmFxlPNwu3rdjvpBJSFsDIW0NmFztLP3sUx6eEcbD93RD\nrYY77/yMUNdBdAp12N0MGBBBamoyCxYsoF+/fpSXn8FohMjIDleNqWPHjo2eEe/q6sobb7zBwoXl\nznWY9RFiZ844fBfDw4MBLeXleiTJC1kOBYz06+cYabzYdwO1pkAgaMEIMSgQCAA4ceIEUVFRzi//\n+PiDjB49AJXKgotLGbfd1gFIRpIc1h6aFvTpcTpdxy1/jiAx1eDcN3GAmaULUzG5ygAsWfJfwsIC\nGTy4NwAPPvgyMb5RzHnoDgCkrEICPHKd1UgWL56Pu3t11Y5//etVHnroIY4ePcbRo8cAGDFiBMOH\nN0/ShsFgwGAwXPXxykorlZVW3NwcKu7kyTQKCoqJjY1BUVwxmVyqMnsDkSQ9EREii1cg+L3Sgj7O\nr83rr7/Ot99+S3JyMnq9nv79+/P666/TpUuXGs974YUX+PjjjykoKKBfv34sWrSo1k73AsHvhcOH\nD9OpUydn1Y7CwiwqKgzo9XYkqZRx40KQpLPNHeY12XHIjdufb09+UfXH2Z/vOk+Q/Z+sXK7moYcm\nA3Du3HmOHz/tFIPTpo3CarU5j3nyybtq9OvtXXOEMSwsjOXL/8N///tfzGYznTpFMXr06EaZ+m0M\nzOZiLlwoJCIiGEWBjIw8cnLK6Nu3L2CgXbsQQkMNgBuSBL6+QvgJBAIHrUoM7tq1i7lz59KnTx8U\nReGvf/0rI0aM4MSJE3hWpar97W9/4x//+AdLliyhY8eOvPjii4wcOZKTJ0/i6up6jTMIBDcuP/74\nI+Hh4fj6+qAo5bi6ViLLZ1EUO5JkoV8/DyTpwrU7akEs/saLee+GYbM7hI1asvL5XzO4a3Q+y5YZ\nWb9+t1MM3nnnKPLyzM5jR4zoV+fztWnjy/3339cosdcHu93urNWdm1vA8eNnGDy4D4qiQ5ZV2O0a\nZDkMcCEsrCdhYdX1eF1cmi1sgeA3URSFHTt28OuvvxIWFsaIESNETfrrTKs2nS4tLcXDw4N169Yx\nfvx4wFH26NFHH2X+/PmAw9/Mz8+Pt99+m4ceeqjG8Y1tOi24vgij1JooioIsy84P0QMHDuDn50dY\nWBBQRk7OWUwmNQaDjett3Hw1rmZYfCXsdjtmczE+Pp5YbTD5cTUb4ns4H/d2L8MvfyaJPzrqXBcV\nlZCfX0RYWNumCb6JkWWZgoIiZz3egoJitm//mcmTxwFGrFYNZWUKnp4BXPxd3xzTvOJ92PppztfQ\nbrczffp0vv76a+e+0aNHs27dunrXKv+90RhapmXMb9SToqIiZFnGy8sLgJSUFM6fP+8seQTg4uLC\noEGD2LdvX3OFKRA0CefPnyc7OxtwCMEDBw6QmJiALBchy+fp2tVESEgxkpSASnWGgAAbRmMFktQy\nhOCVuPS3aW5uAW+9tdTZTkpKZdiw/yO/SM24JyNrCMFeUWX89Gky+zbPdu4zmdxalRAsKChg5cp1\nHDlyhMpKG1arzN69SciyN7IchMkUw+TJ85CkaFSqMPT6YLy8QpAkLZIkifV+glbJokWL+Prrr3F3\nd+euu+7C29ubuLg43njjjeYO7XdFq5om/l/mzZtHr169uOmmmwDHl6MkSfj717SV8Pf3JzMz8zf7\nuvjLSND6uFFfu/Lycmw2G+7u7gCcOXMGq9VKdHQUKpWVnJxMVCobeXmeQCUeHhYkyUpS0tHmDbyW\nlJdX8MMPRxgzph+JiYnk5RVy550L2bbtXQAKC0t54YUPGTvW4V9XUVFJltmbmHvCOJdrcvYzuk8q\nr9y3n/JCO+WFcI23erMiy3KNNYZ79x6jf/8unDiRxMcfLyMjowyNRouvbzueeWYhQUH9iY9vHVP3\nN+r78PdEc7yG3333HQBz585lypQpREdH85e//IUNGzY4Z/wEv02HDld3NKgtrXZk8IknnmDfvn2s\nWbNG/CIW3BAUFxeTlZXlbBcW5pOfn45eX4TBkE/Hjhq6ddNgMJxEpztNcHAZbdtWIkk5SJIZsKAo\n9qufoBm4dKSvstLGs89+6NynUkk899xHVFZaAfD2dqewsITSUgsAHh6uPPLIZGw2O4oCO49FYunw\nA+dyq6dB5t7yC2/N2oNB37Ku+yL5+UXYbNWxxcX9TGmpjKJ4oCj+hIX1JSfHm3nzPmPnzvPYbD5k\nZdnZseMnnnvur7TiVTwCQa246I+ZmJiI3W7nxIkTNfYLrg+tcs3g448/zqpVq9i5c2cNRZySkkJE\nRAQ//fQTvXv3du6fMGECbdq04fPPP6/Rj1gz2Lpp7WuV8vPzSU1NJSYmBpC5cCGDCxcy6dAhAChH\nkspxmPk2c6B1ICHhFJ06hVXVp1Vo3/4WDh/+Ck9Px+hmUNBY9u791Dl9O3PmQu6/fywDBzrKEFos\nFc6KF+CoFbx+jwcvfBrIkV+rvxyMLnaWPJ/G1KFmWhLnzp3H29sDV1eDQ8DuPErPnr3w8PAHXLDb\ndWg0DjuYiz9iv/76a+644w5uvvlm9uzZQ35+Pn5+fsiyTElJSYtPfGvt70NB876G+/btY9CgQdjt\nNX/Qbdy4kTFjxlz3eFojv8s1g/PmzWPlypXs2LHjsqHR8PBwAgIC2LJli3OfxWJh9+7dDBgw4HqH\nKvidI8tyjTep2Wzm+++/R1FkZLkUvb6UNm1sKMpJ4Cg+PrlERWlRqS6gUpUhSU0jBIuLi/nPf1bw\n/vvvs2HDhss+hOvCsmUbuHChWpBNmfIMSUmpgEPsBAT4cOzYKefjX3yx0CkMAZ588k68vaunfC8K\nQUWB7/eZiJ0Zxa3zI2oIwRD/SvYsPtkihODp0+nk5ZlRFFAUFfn5MuXlHshyOIrSlSFD7sPLqwcq\nVQAqlSdarfGy9X1araPecHFxMZWVlZjNZmTZ4Y0oMioFNzo333wz33zzDe3atQMgMDCQZcuWCSF4\nnWlVawbnzJnDsmXLWLduHR4eHs7F825ubs5fz4899hivv/46UVFRdOjQgVdeeQV3d3emT697UXiB\noC7YbDaSkpLo2rUriqJQXl7Ozp3bmDhxOGDBza2UwYPb4qjaIePqCq6uaqDkusWYm5vHgw/OJD09\nw7kvLi6Ot99+G00tXKRfeOFDJk8eSo8ejqoaS5b8F29vE+PGDQRgwoSBXLhQLYDj4t6vYdw8cmT/\n3+xfUSDuoIkXPg3kx8SaI2JGFzuPTMnjz3edx8ejcaeFL06Q/O+SE7vdjt0uo9M5BFti4hm0Wi2R\nke1QFD1qtQ/QBkUJQpKMdO/es87LVoYMGUJAQADHjh0jICCA0tJSAKZMmVLlASkQ3NhMmjSJSZMm\nUVlZia66cLngOlIvMRgXF8enn37KmTNnKCgouGxdiyRJnD59ulECvJTFixcjSRLDhw+vsX/hwoUs\nWLAAgGeeeQaLxcLcuXOdptObN29u8VMtgtaHLMts2bKFESNG4MgJKKekJBNZ9gQsGI3lTJoUBpxy\nVu1wc2vWkHnvvXdJT88gMjKCIUOGsHr1avbs2ct3333HlClTKC+3YLPZnQLukUfeYMSIWKZMcVTZ\nOHcum337jjrF4IMP3uq0PgF4550napzPZKrdBSsKbP3JnYWfBHLgeM1jXHQy/zcll2dmZOPvbbtK\nD/WjtLSUv/3tb2zbtg1Zlunb9ybmzv0THTuGoyhw9OhpVCod3br1APQEBnqi0RgBXyRJQ1hYw4du\nPT092bBhA7fddhtnzpwBYPz48Xz66acN7lsgaE0IIdh81FkMvvnmm8yfPx9/f39iY2Pp1q1bU8R1\nRS5OnVyLBQsWOMWhQNAQysvL0ev1zgzQVatWMX78OAwGCSgjOtoTRUkGKlCrZfr39wGymzPk3+Tk\nyZMAPP/883Tr1o3i4kqWLFlKcrJj/5///D7t2gXw1FN3AxAY6MvBgwlOMfjEEzNqrOm7885RDYpH\nUeDHJH8efr8je4/WFIF6nczDtzhGAgN9G1cEXmTevKfYu/cnTCYtWq2RffsSOX/+ff7zn1VIkoGe\nPbtzqYdflYtVoxMTE8PJkyc5d+4cBoPhMkcEgUAgaErqLAbfe+89hg0bxoYNG5xrXQSCG4Xc3FxM\nJhN6vR5FUdi6dQsDBvTB01MPlDF+fCeMxl8BGUmCdu00QHkzR117bDYdhYWwadMm3N3dWbNmG7m5\n4O3tUDn9+nUlPj7J+fx586ah11f/Wu/SJaJR4rDbYd1uT177fBTxp/xqPKbTyjw4MY9n78kmqI21\nweeqqKh0XkNWVh6JiSkMG9af8+dL+PHHNFSqIJYs+R6NxpU+ffpw6NAu/vrXnOv6Qxcc6wPDwsKu\n6zkFAoEA6iEGCwoKuO2224QQFNwQpKen4+7ujoeHB4qicOpUEhERgfj6GoAyJkxoB2Q5Ezla22qD\nvXuPsHfvLzzzzL0A9O59M9u3J7FixUpWrFhJaSm4uuq55ZZbAJgxYywzZox1Hl/bad7aYi5W88l6\nHxataUPa+ZrVBbQamQcmXOC5e84T4l8/Efi/VTtyc80cOJDA+PFjASM+PsHcdFMs4MGFC4kcO5ZD\ncHAwHTt2Q5Ik2rZtS2FhIUVFRQ28UoFAIGg91FkM9uvXj+Tk5KaIRSBoclJSUtDpdLRt2xaQKSnJ\nQastxN09Hyilf38jklQIFF6jp5ZBUVEJhw8nM3iww0rpwIFj/P3vX/LNN28CoNNp+eqrTU4x+MAD\nd5CfX0RubiK5ubm0bx/BU089SUBAQJPGmZym55+r/fhyozel5TUzZDVqmfvG5/OXe88TGlBZp35l\nWebcuWxCQwMBqKiwsX//ScaNGwu44uPTiQkThgKODF6dDi4uS4qMjKRNmzakp6czbNgw9Ho9J06c\nwN3dna5duzbCVQsEAkHroM5icNGiRYwbN47evXszY8aMpohJIGg00tLSsFgsdOzYEUWpQK8vR6Mp\nQlFKkKQyoqIUJMkCWJo71CtSVmZh//6jDB8eCzh87ObO/Tvr1r0DOEa+7rvvRVJSHC7+7dsHsX37\nTyiKgiRJdO/egbfemufsLzDQl7ffnn9dYlcU2PyjO/9c5cfGA5d7X/l42Jgy4ATThpxk6IDwWveb\nmHiGTp3CkCQVoObkyTyCgrqjUrmj17syfnz/WmX0uri4sGLFCm699VZ++OEHAAwGA1999ZXwHRUI\nBL8r6iwGp06dSkVFBffccw8PP/wwQUFBl3lhSZLE8ePHGy1IgaC2ZGZmkpGRQZ8+vVGUckwmK66u\nZSjKcSSpgrbOUrXXz86lLhQWlvDyy5/w1luPAVBebuG22/5MQcEOALy8TGzZctAp9kJC/OnVK8rZ\n9vPzJjm5uiqPXq+7pp3LtYhPNvDpf30pr5DwcLVjcpXxcLNX3b/k1k3G5GrHRSfz9XYv3l/dhhOp\nhsv669q+nEdvz2HG6HxSTl/+OZGbW4CXl7vT6mbz5gPcdFN33NxcURQdJSVaKir80Ou9kCRXRoyI\nqXcVomHDhpGYmEhcXByKojB8+HDCw2svTAUCgeBGoM5i0M/PD39/f6KiopoiHoHgmlwUPuAwct62\nbRvDhg1FUUrx8KhAr9cACUiS9ZLsz4rmCvcyTp9Op337ICRJorLSSvfu00hIWIlGo8HNzcDixatZ\nsOBBTCY3vL09GD68rzMJws3NyL59nzn/BjqdljVr3qzRv7+/T6PEabPBG8sCeOmzQGz2hlmoSJLC\nxAGFPHpHDoN7FlVZ7TgytI8c+ZXAwJAqM2oVCQmZ9OzZAw8PH0BHr14+uLj4AgYkSUXfvl0atQRl\ncHAwM2fObLT+BAKBoLVRZzG4c+fOJghDILgyiqJQXFyMyeSoUlFcXMzGjRu57bZb0Oks+PraCQvz\no6aRM0DtbIiuB6+++il/+tOdzmSMm29+gCNHlhMY6ItOp8Vulzl58iydO7dHrVbz+ecLncdKksTq\n1X+v0V/Pnk3/Q+xMho57Xg5j37GGJZC4G+3cOSiJuXeU0j1Kg6LApk0H6d69E4GBociyP4GBrri4\ndEFRTEiSliFDaho3+/o29GoEAoHgxuTkyZONYkXVqiqQCG58FEUhLS3NabFhtVqJi9vIlCmjkSQL\nRmMZkydHIUnH0WhSAPD0bF618MMPh+jRo6OzzNrAgTP58MPnnDYs33yzg5Ej+xEb60hKGDKkNxkZ\nOQQG+lYd/xH+/t7O/u64Y+R1voJqFAWWbPDm0X+EUHJJosfN3Uq4d9wFisvUFJY4tqIyFUUlaopK\n1RSWXtynxpzzKyGBLsyZruXecQWknErF170tshwEGBg1qgsqlSOT2GIpxN3dG4OhTTNdsUAgELRO\nTp48SWxsLGlpaQ3uq15i0Gq18vHHH/P999+TmpoKQFhYGBMnTmTmzJnCdkZQJxISEujUqVPV2lOF\nU6eO07atHo2mEo2mjNtu6wCcdtq7NHe51rfeWsr48QOJjnasLVu48EOee+4BRo1yrM3z9jaRnJzm\nFIPPPnsfbdpUuxWvXPl6jf7atr2yEDp//jyJiYkYDAZiYmKavDTZhUI1D/+tHd/8UB2rRq2wcGYW\nf55xnovV6iyWCux2GVdXx3rA+Pgk1GoN3bp1AQxkZ9twcVHj4eGLJAXTo0f3Rp3WFQgEAgG8+uqr\nFBY2jvNFvXwGhw8fzpEjR/D396dDhw4AxMfHs3HjRj7++GO2bt2KV1NZ9QtaPfHx8XTo0AE3NzcU\npRKrtYDKyjRcXGQkqYThwwOQpMxmiy8lJQOj0cW59u7BB19m3LgBziocR4/+ire3ySkGp0wZhlZb\n/VZauvRl3N2NzvZtt42ocwxxcXG88MILVFY6/PZCQ9vxr3/9q8oSp/GJO+jOA6+GknWh2mC6Y4iF\npQtTae+XyfnzFQQH+6MokJJyHqtVQ9eu3QEDnTu3Q6s1IUmOYwMDhfATCASCpqYxRgQvoqrrAc8+\n+ywJCQl8/vnnZGRksGvXLnbt2kVmZiZLliwhISGB5557rtECFLR+fvzxRzIzM1EUO7JcjJeXjEqV\nXpXhm0BMjBGj0YxKVYQkyVzvQaTNmw+wb98vzvabby5lxYrNzra/vzdHj/7qbM+dewf9+1dXp3j0\n0WkMHdrH2fbwcHMmR9SH9PR0Fi5cSGWlld69e9G2bSBpaWebpMRieYXEvHeDGftEB6cQVCqzmRq7\ng58/S6JPJytWqysWiweyHIaidKJTp1vp1m0iKlUYKpU/Li5tUKv1SJIkRgAFrYLS0lKKi4ubOwyB\noEFERkY2Wl91/sZat24dc+fO5d57763xhSdJEnfffTdz5sxh7dq1jRagoPVx5MgRTp48iaJYkWUz\n7dsb8PK6ABxFkk4SHi7h6lqGSlVxXYSfoiiUl1f7CC5Z8l/+/e+vne34+CTWrNnubA8e3KuGnBDe\nRwAAIABJREFUqHn22ft5/vnqbNPY2K507ty+yeL95ZdfsFpt9O/fn48++ohly5YBjr9rZWXdTJmv\nhN1ud5hVnzTQ94FO/PMrBaVgIwB+Xja+ft3Kv+aHYHSJBrrh79+PyMgBqFQ+qFSuSJJKiD5BqyQ/\nP59Jkybh5uaGyWTiD3/4A+fOnWvusASCerFw4cJGKxhQ52lis9lMRMTV65NGRERgNpsbFJSg5XOp\nvcuJEycoLS2lV69uQCnt2+vR6cqBY6hUynXPBs3LM5OTk+8UbB98sIYjR5L58MO/AKDVatix42ce\neeR2AMaPH8iZM+nO4++8c1SN/tzcjFxPdDpHckVeXh4Wi4WsrCwA1GrNZZ6etaGy0kpqaiYdO4ZS\nZpHYsFvN0q+z2ZT8B6w2CbR68BjBhAHw8XwN/t4hjXo9AkFLQFEUpk+fzubNm5EkCZVKxZ49exg/\nfjyHDh0Sa90FrY6QkBAOHTrUKH3VWQxGRkaybt06HnnkkctGBxRFYe3atY06dCloeaSmppKSksLg\nwf2BUsLC1KjVWiQpAUmCKheYJiUrK4slS77kwoU8AgNDCQvrysyZkwFHPd4PPviGjRv/CUCPHh1Y\nvXqb89ixY28mNraLs92tWyTdurWc/9l+/WJp08aXU6dOMXToUOe6wfHjx11VDF70IQSw2Wzs2nWY\noUP7oigSJ1I9+XxVMcn5XfjhsA5LpQT0ch7ralDxj3kqHpyIGPET3LBkZWWxefNmXFxcSEpKwt3d\nnS5dunDs2DEOHTpE//4NM2cXCJqDi/XUG0qdp4nnzJnD1q1bGTNmDBs2bODUqVOcOnWK77//njFj\nxrB9+3b+9Kc/NTgwQcshLy+P9evXI8sVyHIebdvaGDjQG0lKRKVKw2AoRqezNdmUr6Io5OdX/7Pv\n2fMzvXtPZevWrRw+fITVq9fx2GN/o6DAMSLdt28XfHyqy4nddFN3tm79t7Pt5WUiMrLljn6ZTCb+\n9a9/ERHRnspKK5IEw4aN5JlnnnE+Z+fOn5FlGUUBWYaVK7dis+mQZRMl5UGczBnI7L93JeL2nsTc\nH8U/N44g7qC+SghWE9sZDn8BD00S6/0ENzbl5eUAuLq6EhgYiJeXF97eDksni6VllqMUCK4XdR4Z\nnD17Nnl5ebzyyits3brVuV9RFHQ6HS+99BKzZs1q1CAFTc+l077l5eV899133H77ZKAET88SRo1q\n5xz50+l+u6+GUlpazurV27j33gkApKVlMXDgg6SnbwBg/fpvyM6uZPDgDowcOZJNm+Iwm0+zdOlS\nHn30T7Rt24Zly1529tdUIkdRFL799luWLVtGYWEh0dHRzJ8/n+Dg4Dr3JctyjQSMzMwili5dhsVi\nQaczsmXLIcALWTYCOoKCYpDliCq/Pi0zZvTi4+9gxVbYdwxs9qCrnis6DEbFwpj+MKIPqNVCBApu\nfMLCwggPDyclJYVevXrh6upKYmIinp6exMTENHd4AkGzUi+fweeff57Zs2ezdetWZ2pzaGgoI0eO\nxMencUphCZoWWZadCUCyLLN8+XLuvHMqanUFen0JkyZ1qhJ/CioVTo+5xqKoqMRZkaOiopLJk5/i\n++/fQ5Ik1GoVDz/8GtOmjUKv19GuXQAajZrS0nJcXQ1cuJBDZCRMmDCJmJgetGnThtOnXyQjI+Oq\n5ystLeXs2bOYTCaCgq4ulOrCN998w2uvVXsG7t9/gFmzZrF8+XI8PT1/89izZ8/j7++NXq9DUWD1\n6u2MGjUQk6kN4EJwcE8kqT3u7m5Iko6JE2OBamHboUO1xYzdrvDQG/DFhiufy93oEH2j+8PofhAa\nIMSf4PeHWq1mzZo1jBs3juPHHTWxTSYTX3/9NR4eHtc4WiC4san3V7yvry/Tpk1rzFgETYjdbncu\nmgZYs2YNo0YNw91dBZRy223d0WhOAAqSBAZD457/q682cvvtI9DptCiKQlDQONLTN+Dh4YZer+PI\nkZOkp2cTEhKAi4uep566i7IyC3q9DpVKRWrqemdfQUFBuLkdYdOmDciyjU2b4qr2X9mDb/v27Sxc\nuJCyMsc00ZAhQ3jllVcwGBpm4rx06VIAHnvsMYYOHcIzzzxDcvJJtm7dyqBBwzCZXHFxcSSD/PDD\nITp3jsDX1wtF0ZGVZcFkMqHVtgH0TJnSBbXa8VxJkmjfvl2tYrDaFO55CVZuq7m/V5RD+I3pB/27\nglYjBKBAEBMTw4kTJ9i1axd2u52bb765UUp5CQStHVGO7gbFbrejKAqaqiG9uLg4evbsSkCAG1DK\nrbdGo9GkIUkKAI1d3OLJJ//B00/fTUCAI5X45Zc/oUePDnTtGokkSfTu3YmUlAxnnd21a9/Cx6d6\nNO2VVx65at8PPvggu3btIjHxBImJJwDw9/djxowZlz33zJkzPPfcc1itNkJCgsnOzmbnzp28++67\nPPvs/HpfX1FRCfn5jjWKw4cP4+zZC0REdCI19RylpVZSUgoJD/dGpwsAtHTr5ourqxfgsGaJje1S\nY/q6PraEFZUK0xbAut3V++4bD6/PBn9vIf4Egivh6enJpEmTmjuMFkFFRQXvv/8+W7ZswdPTk4UL\nF9K5c+fmDkvQDFzzK0ilUqHRaJz+ZiqVCrVa/ZubprHnFAXXRFEUrFars71nzx5SUn5FlvOR5bOM\nHh1KYGAeKlUKKlUOWm2FUwjWh7w8M6Wl5c721KlPc/BggrN99OivxMcnOduzZk2uIX527PjQKQTB\n4d1nNNZOkYaEhPDll0sZMmQwXbt25Y47bufLL7+84hKFvXv3YrXaGDZsKN9++y0ffPABADt37vjN\nc8iyjM1mc7aTklLJzMxFUUBRJBITM+jQIRaVKoDHH3+H9esPsWLFIU6c0BEYOIrY2Kn4+fVGpQpC\npfLD2zsUvd6EJKkbxZy5zKJw6/yaQnDOVPhkvhCCAoHg2litVsaNG8fTTz/N5s2bWbVqFX379uXH\nH39s7tAEzcA1VduCBQuQJMkp8C62Bc1PZWUluqpsjsOHD6NSyXTvHgkUM3BgG1SqciQppVHOFR+f\nhI+PB6GhgQA88MCL3HXXOO64YyQAnp7uxMcn0a9fVwBeeGEWwcHV0y9PPHFXjf4a+j8UEhLMzJkO\nI+i6/JK9OE2uKDWFcFZWHiqVhL+/D4oCBw86FpZHRUUDOjw8dBgM7ihKGyRJT79+Mfj6xjJkyBB+\n/nknsBOARx55hJEjRzbpe6SkTGHSM7DzcPW+p2fAG/8nrGEEAkHtWLVqFdu3b8fPz4+ZM2eyd+9e\ndu3axeOPP87evXubOzzBdeaaYvCFF174zbbg+iDLMhaLBaPRYYD866+/cv58JgMG9ARK6NHDiEpV\nBpxuFIuXzZsPYDS6MHBgTwC++GI97doF8NRTdwMweHBv8vKqzcX//vdHa5gzO+JqfgYMGMCiRYvY\nsmUHEydOJj8/B4DOnXtz+HAyPXtGoygGKistqNUGZDkU0NG/f3cuvj0kSSIw8PK+IyMjOXLkCCtX\nriQ/P58+ffowZsyYJhVk5mKF8U/B/upBWBbOhAX3CyEoEAhqz8mTJwG47777mDJlCjfddBO7du1y\n7hf8vqjzfO5LL73ElClT6Nq16xUfP378OGvWrGmSOqq/J6xWK/n5+c7FzdnZ2SQkHGX48P5AGe3b\nK0RGmoBT9RZ/l9rJrF27k/z8Qh544BYAjh07RUpKhlMMjh17M5mZuc5jn3yy5kjfpev9motLM6Sz\nsvIwm4vp1Kk9r7/+N55//m+cO1eORuPNTTcNYcGCN3B19QGMSJJEaGj9/oi+vr7MmTOnEa/i6lwo\nVBj9OMQnV+974xF4ZoYQgQKBoG60a+dIUlu1ahWBgYHs3Lmzxn7B74s6L1t/4YUXOHr06FUfT0hI\n4MUXX2xQUL9HrFYrSUmONXaKomCxlHP8eDyynIMsp+Hvb2bEiDZI0ilUqkzU6mIkSa61ECwtLScl\npdp6ZeXKzTz88GvOtt1u59tvdzrb48YNYOjQPs722LEDmDnz1oZdZCNSUlJGZmaes33mTAbbtx9C\nlg3IshcGQyienl1QlCiGDHmUDRtO8sknG1m1ag/vv7+8ag2fW6ups5udrzB0bk0h+M/HW5YQLCgo\n4K677sLHxwd/f38ef/xxKioqmjssgUBwBaZPn07Pnj1JTU3l8ccfZ926dajVal577bVrHyy44Wj0\nTI/i4mJR47EWyLJMfHw8vXv3BkCSrOTnpyHLbkAZbm6lDB3qhyTVr4h6VlYeP/+cyMSJgwDYvfsw\nb765lG3bFgPQvn0Qb7zxhfP5Q4f2ISjIz9mOjg4nOjq8fhfXCJSVWcjJyScszGEXk5WVx9Gjpxg1\n6mYURU9FBZSWGpHltshyOO3aRREebgAc4s7TEy61+vPw8KBv377NczENJD1HYcSjcLLqX0GS4KM/\nw8yJLUcIyrLMLbfcwu7d1Rkt7777LgUFBXzxxRfNF5hAILgiRqORnTt3snDhQnbt2oWHhwcvvvgi\ngwYNau7QBM1ArcTg0aNHOXLkiLO9e/fuGpmWFykoKGDx4sV06tSp8SK8gThy5AjR0dFVSR+VaDSl\nWK2n0WgsqNUV3HyzL5Bdr76zsvL4+ONvWbDgIQAKCop4/PF3nGIwJiaqxghYTEwUe/d+5mx7e3vQ\nv3+3el9bXbFYKsjMzKV9e0e1jgsXCtm37ygTJgxCUfRYrSry8wtp164toMPXtz2DB9+Mw5pFwtsb\ngoIULBZQqbzrZc3SGkjJVBgxD1IyHW21GpY8D38c1XKEIMChQ4fYvXs33t7e/PDDD1y4cIGhQ4ey\nZMkS3nnnHWfZL4FA0HLw8PDg3Xff5eeffwagT58+1zhCcKNSKzH47bffOqd+JUniww8/5MMPP7zi\nc728vFi2bFnjRdiKSUxMJCgoCJPJhKJUotNZsNtTURQbkmShZ083oPYFpisrreh0jlFXs7mYadOe\nY9Om9wFwczPw979/ybPP3o9WqyEqKpTx4wdit9tRq9X4+/vUqM+r0Wia1ALIZrNx7lw24eGOah/F\nxWVs2XKQyZOHoSg67HYdeXl5VSN/Wjw8NIwY0RtwR5IkTCbo1au6RJRKBb+HAWdFUcjIhZ+T4FCS\no6pIRtVSTa0G/vMiTBnSsoQgOH4IAnTo0IGuXbsiyzI+Pj7k5eVhNpuFGBQIBIIWTK3UwKxZs5gw\nYQKKohAbG8tLL73E2LFjazxHkiRcXV2JiIj4XfkMXpqEcfToUby9vQkKCkJRKtHrK4AMFCUDSSqn\nc2ctUFLrvpcv38Qdd4xAo9FUfbkO5/z5OFxdDXh4uHHo0AkyMnIICvLD3d2VDz98DpvNhlarQa1W\n8957TzXNReO47tzcAvz8HF/yVquNjRv3VY1EqrDbDZw9W05oaACgw2jUMmZMN8CEJEkYjRAbWz0S\n2RQl75oCm03hXA6cznBsp9LhTAaYS6CtLwT7QYg/hPhVbf7gbbpypu//Cr/4ZDiUDDkFl59Xr4M1\nr8K4m1ueEATo3r07Op2OgwcPMn36dPLz88nLy8Pf35+QkJDmDk8gEAgEv0Gtvn4DAwMJrPLW2LFj\nB9HR0fj5+V3jqBuP0tJSFEXBzc1RU/fgwYMYjQa6dIkELAQGqnBxyQcKkKRKIiIAyq/an81mQ6VS\nOTNg7777r7z11mP4+zvMk59/fjF9+kTTsWMoKpWKDh1COHMmg27dHFU8tm//AF/f6oVxM2aMveJ5\n6sul2bmKorB792H+8IcYQEKWJfbv/5UJE0YjSXrUaj39+vmiKMFIkhadTmLw4O41+jMar3CSRo1X\nITsf0s7D2ezq23NV99NzHaNrXu7g6VZ96+nu2JxtN/AyQUlZleDLcAi+0xmQmgU2e93iMrpAcBvF\nKRK9PeBEytWF3//iboRvXofhfVqmEAQICAjgo48+YubMmaxYsQIAV1dXli9fLtYQCwQCQQunzmMx\ngwcPboo4WiTZ2dlUVFTQrl07FEXh7NlUFMVCp07tgHJiYtzQaiuBE0gStGnz2/2dOZNOmzZeuLu7\nAtCv33188snzxMQ41limpZ3n+PEzTjE4a9ZkZLnaHPmnn75ErVY72926RTbq9Z4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LAAAg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\n4TQxERERk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+ "text/plain": [ + "" ] }, "metadata": {}, @@ -2270,11 +2375,11 @@ "source": [ "from numpy.random import seed\n", "seed(2)\n", - "data = compute_dog_data(z_var=225, process_var=.02, count=50)\n", + "trk, zs = compute_dog_data(z_var=225, process_var=.02, count=50)\n", "\n", - "run(data=data, R=225, Q=200, P=P, plot_P=False, \n", + "run(track=trk, zs=zs, R=225, Q=200, P=P, plot_P=False, \n", " title='R_var = 225 $m^2$, Q_var = 20 $m^2$')\n", - "run(data=data, R=225, Q=.02, P=P, plot_P=False, \n", + "run(track=trk, zs=zs, R=225, Q=.02, P=P, plot_P=False, \n", " title='R_var = 225 $m^2$, Q_var = 0.02 $m^2$');" ] }, @@ -2295,7 +2400,7 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 37, "metadata": { "collapsed": false, "scrolled": false @@ -2305,7 +2410,7 @@ "data": { "image/png": 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jxmzcuJGJEycya9YsqlevzuzZsw0WTh0/fjxFRUW89957+kWnd+zYgb29vQkjFwRBqDiS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\n0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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2313,7 +2418,7 @@ } ], "source": [ - "run(data=data, R=10000, Q=.2, P=P, plot_P=False, \n", + "run(track=trk, zs=zs, R=10000, Q=.2, P=P, plot_P=False, \n", " title='R=$10,000\\, m^2$, Q=$.2\\, m^2$');" ] }, @@ -2326,7 +2431,7 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 38, "metadata": { "collapsed": false }, @@ -2335,7 +2440,7 @@ "data": { "image/png": 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HEhUVxX//+19efvll3nvvPdLS0mq6SnXOTz/9zK1biTRrFsjnn39O//79KCjQ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\n2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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2343,7 +2448,7 @@ } ], "source": [ - "run(data=data, R=10000, Q=.2, P=P, plot_P=False,\n", + "run(track=trk, zs=zs, R=10000, Q=.2, P=P, plot_P=False,\n", " x0=np.array([50., 1.]), \n", " title='R=$10,000\\, m^2$, Q=$.2\\, m^2$');" ] @@ -2357,7 +2462,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 39, "metadata": { "collapsed": false }, @@ -2366,7 +2471,7 @@ "data": { "image/png": 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QkBDL8LB08y6tnk1NTUUIQWpqapnyymIymYiJiaFZs2YX07mUEB9/hJo17QAd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\nF44dO1bqA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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2374,7 +2479,7 @@ } ], "source": [ - "run(data=data, R=225, Q=.2, P=P, plot_P=False, \n", + "run(track=trk, zs=zs, R=225, Q=.2, P=P, plot_P=False, \n", " x0=np.array([20., 1.]),\n", " title='R=$225\\, m^2$, Q=$.2\\, m^2$');" ] @@ -2399,16 +2504,16 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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bt+PQoUMIDQ01bddqtRBCQK/XIyQkxLRdr9dDq9WajjEYDMjPzzebBdPr9Rg1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\n", 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hz9vlHbAWT0JyIj4RmeH5559HRkYGPvvsM0iSZJU6dXouxEpEprPLO2BA4zDk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\nIyIie8MEzA4E+oVgwSOv4YmJC+Ht0c1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6KsuyM2dDnvV6rel0qiAIFMex8jzX8XjszNiQ\no0+WZZ3SkuzIs1qtlCSJfN/XZDLRcrnU4/HozNiQ4zc29hldNsw8dNlw83yyz/gVEQAAgGH2X1EA\nAACwDAsYAACAYSxgAAAAhrGAAQAAGMYCBgAAYBgLGAAAgGEsYAAAAIaxgAEAABj2AkyVXTk7OtfH\nAAAAAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2420,7 +2525,7 @@ "\n", "var = 27.5\n", "data = mkf_internal.zs_var_275()\n", - "run(data=data, R=var, Q=.02, P=500., plot_P=True, \n", + "run(track=trk, zs=zs, R=var, Q=.02, P=500., plot_P=True, \n", " title='$P=500\\, m^2$');" ] }, @@ -2444,16 +2549,16 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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OOpnWpPsREdXHi5PaichCTkiujLe+afyE9hq3h8Yajg9mp0NbpW3yPYmIbsUt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\nERGp6P8B33RdiTamjzAAAAAASUVORK5CYII=\n", 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1Ndh3LL31E4iImuHLOVdEZACrJ1e1yhpUVJcBACQSKTxdvU3ehiAIOqNXu7J/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\nw3uxTaWlpRZrS6lUIisrCy+88ILO/vHjxyMjI8P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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2461,7 +2566,7 @@ } ], "source": [ - "run(data=data, R=var, Q=.02, P=1., plot_P=True, \n", + "run(track=trk, zs=zs, R=var, Q=.02, P=1., plot_P=True, \n", " title='$P=1\\, m^2$');" ] }, @@ -2478,16 +2583,16 @@ }, { "cell_type": "code", - "execution_count": 39, + "execution_count": 42, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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iGD58OCaTiQYNGnD+/HkWLFiAt7f3PTGf6t3wySefEB0dzf79+9m/fz9gTsCG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\ntBI1ojdy5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YQQFkqu0RNCCCGEsFBS6AkhhBBCWCgp9IQQQgghLJQUekIIIYQQFkoKPSGE\nEEIICyWFnhBCCCGEhZJCTwghhBDCQkmhJ4QQQghhoaTQE0IIIYSwUP8P4g94RC+NIWgAAAAASUVO\nRK5CYII=\n", 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EBBAYGMiRI0esHZYgCILV7d+/n3HjxvHKK6+wZs2aO59wzZrdKl1eh6xcc9nNBTZ+bp7d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\n/Pbbb/To0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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2495,8 +2600,8 @@ } ], "source": [ - "x = np.array([100., 0.]).T\n", - "run(data=data, R=var, Q=.02, P=1., x0=x,\n", + "x = np.array([100., 0.])\n", + "run(track=trk, zs=zs, R=var, Q=.02, P=1., x0=x,\n", " plot_P=False, title='$P=1\\, m^2$');" ] }, @@ -2511,16 +2616,16 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": 43, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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sYN3z7tSp04wYMYL58+fz5ptDysXx5yTvz0pLDaSnZxEaGoSqQm5uMUlJGdx3\nXzjgRPXq91CjhrU3T1EUbsLhEQCcP3+e4uJifHx8bPvz7t27lw0bNnDy5ElJ9IQQQohbLTY2ln79\n+mGxWAgLC+P06dPMnj2bKlWq3LH7qU6aNIlt27axe/dudu/eDVgTsMGDBwOwc+dOoqKicHFxRlVL\n0etLOXn2NCM/9uWnXS6gbcXFwc2+nbL44MWzeLtfvip2796jxMQ8Sr9+rmRmZnLkSCZpaQW2+Wot\nWkTxzTdfEBhoz3fffYeTkxO9evXi6NFEjh49+reJUVmZkcOHT1K/fi1UFUwmO9LTzYSEVAGc8PV1\nxtf3ykeH3Uz+/v44Ojpy4cIFZs+ejY+PD9u2bQOgevXq/3D17avyzi4UQghx11u+fDkWi4UBAwZw\n8uRJvvvuOwDb9ztRVFQUe/bs4fHHH6dNmzb079+fpUuX4uhoj8WSR3CwA3Z2Z4ADqOoRticF02hQ\niDXJ+0Owfxlrph5n3rhkW5K3Zcs+hg27dKSoRqPhhx820qVLFwYMGMCLLz7No4+2sb0fGVkNb29w\ncnLG3z8AT09PPD09AWwLRcA6XLxx4x4sFhVV1aDReKCqPlgsYajqPTg7N6ZZs25oNAFoNG4oivaW\nJ3lg3Zh5ypQpAMyZM4eJEydSVlbGoEGDKm1vHkiPnhBCiErMYrEAoNfrAXB0dASsqzLvFGazGbPZ\nbDvwftu2bfj7+/HGG6+g0ZRStaoXzs7FwEEURSU4GKCU1Ex7nnq7Olt+Lz+JbVj3DCY+l8rxY4dp\n0WIKO3d+CUDVqv6sXr2NmTPHANbFEf/3f5eOGA0ODiA4OMD2OjAwkICAANLT0+nf/2n0ej0nTpzE\nxcWF5ORs7rnHgIODG+BMaGhDLJZwtFoXtFoNDRrUvpmP7F8bPnw4VatW5eOPP8ZoNNKrVy+GDh1a\n0WH9J5LoCSHEXSg2NpaEhASCgoJ44IEHKu18ts6dOzNlyhRmzpzJzp07OXLkCABdunSp4Mj+vZKS\nEoxGo23bj/379+PoqCMyshpQTJMm3uh0JRw5kgSAp+flqxF2H3Lisderk5Z1aUJb9cAiLsT24OOX\n30FRFGrXDuXQoRMYDGU4OOioXr0KGzbMtG1d4uzsSJs2ja4Yo8lkQlEUpkyZzEsvvURs7DG8vJzx\n9KzGW29NoXbtRtjbB6IoehRFoXr1sBv/oG6Sbt262Y5Wa9Toyp+/Mqmcf7KFEEL8K6qq8sILL/Dp\np5/aylp3eGm+AAAgAElEQVS3bs2aNWtwdnauwMj+nZYtWzJz5kxefPFF4uLiAOjZsydvv/12BUd2\n7QoKCigqKiIgIABVVTl7NoWSklwiI0PQaEpp2NAJRTGgKCcAcHC4cjuqqvLttz9h9OjDsGnVKDNa\nZ2dpNSqjnjrP+GfSiGl+ioyMbPz9vXF01HP+/C84OFiTQUVRiIio9jcxFmFnp8XR0dpzunHjPiIj\n61CnTku++y6WrVv3YjTa0bx5DEFBQTf4CYn/QhI9IYS4iyxZsoRPP/0UBwcHunbtyubNm9myZQvj\nxo3jww8/rOjw/pWhQ4fy2GOPkZiYiL+/PxERt/dxVvn5+aSnpxMREYGqqhQW5nDhwln8/MxAEWbz\n70yZ8jaJiUdxd3enf//+PPXUU8Dl89a++motY8ZUwcvLHbNZ4YVpQeQ7X+o9c9AW8PnLcfTrZk3i\n9+37ttz1FxO3v8rKykVRFLy83FFVSEw8i49PFUJCAgEn2rWLQlHsURQFT0945JHwG/V4xA0mizGE\nEOIusnXrVgDGjRvH0qVLWbBgQbnyysrPz4+WLVv+6yTPbDYzceJEmjZtStOmTZk8eTJm89XPZ71W\nhYWF/Pbbb6iqiqpeTOYysViSUdUEAgIuEBXlgEaTTkZGEkOHDubIkSNYLCo5OblMn/6hbXHJ22/P\nJiHhhK3tbdvi2b37IFl5Wjq9XJN854G296JqlJCw6LQtybuajIxsUlLSUVVQVYXsbCO5uToslhBU\ntTYNGz5BtWqt0GiC0Gg80Gh0FbJgQlw/SfSEEOIucnF4NiEhAbPZzIEDB8qV362GDRvG66+/Tmxs\nLLGxsYwZM4bhw4f/q7bKysr46aefUFUVi6UUna4YX18LqpoEHMDVNZU6dfRoNNloNAYU5dLCkV9+\n+YW8vAIaNWrItm1bCQ29j7y8S6uIz5xJZ8uW/bb6Tz/9ICVKBE0G1WbjvktHeXVvncOOzxKpXqXs\nijFmZGRz6NDxPxI7LRaLG2azH6paE4iiZs2OVK/eAo3GF43G2brnXiVI7BISEpg/fz6rVq2ipKSk\nosO5LUiiJ4QQd5G+ffui0+lYsmQJOp3OdhLAxT3Y7kYpKSnMnj0brVbL4sWLWbRoERqNhs8++4xz\n585d8ZqysksJlKqqLFiwAKPRgMWSj51dNvfe64uqJqAoCeh0KVSvrkOjKUBRLPw5XzKbzeTnF9pe\nL126ncxMqFWrFk5OTgQHV6WgAIqKigAYMaI3DzzQ2Fbf4NKZ/tPak5x6aeLe24NSWTohGRcni60s\nKyuXrVt/R1UVLBYn9PoqeHreg6rWAaLx929CaGhjNBp325BsZTNt2jSioqLo378/jzzyCI0aNSI1\nNbWiw6pwMkdPCCHuItHR0axevZrBgwdz5swZ3N3defvtt+nXr19Fh1ZhLiYD1eu0ocCxJ6fTwaO+\ngew8M0+/54idzjqEWlTmQmGpHaVlUM1+BVPfeICYBgDFPPpoFHZ2hwFrIhcQoAEMl90rN7eArKw8\natSwruqcPn0hKSnn+egja8J97733sGvX7yxdupTc3FyOHNmPv7/1vxtAVJT19IvMHDumLGnI17/W\nsbXt7FDKN2+do1urPPLzC/n11z08+mgHVNUZFxdfIiNrAFVQFDvc3BTc3LhjxMbG8uqrr6IoCo88\n8gjx8fEcPnyYZ599ltWrV1d0eBVKEj0hhLiNnD9/nuPHj1OlShVCQ0Nvyj06dOjA6dOnKSoqwsnJ\nqVL23twIpQaVrXGwYks0SoMEjjvWYchk63uqpgP4uLExzsn6Ou93cKqHYu8FQAY9aP2idYj0zYH5\nRNUwXvEe6ekXOHr0FPffb92mY9263SxYsJaVKz8AoGnTuuzYEW+rP27cUNzdzSxatIg1a34CoHbt\n6owaNQqAlPP2TFvkz5xVPhQX5qLYW68LCyhgcMxndInpgsXii7NzCJ06RQGeKAo4OCh/u1r3TnDx\nBIt+/frx1VdfcfLkSWrUqFHp557eCJLoCSHEbWLatGm89tprtkUAgwcPZtasWWi12ptyv7tlXp7F\nomKxgNkCp9Phl9+sX5v2Q4kBQI+qcQHjBRR7H+tFxnRAA1proqe4t7li28u2eLJsiyc92+bw5sA0\nPPVn+fHH7Qwa1A2wzql76aVpxMcvAuC++6L47rtfbde3aFGfli0b2F7r9Q68+uortG/fjmPHjuHh\n4UGLFi05l+XOsNFlLN9dG5PZ3rohdME2VI+HaNfEwqK3VbzcRqIodrbE3cnpxj7H29nF/5eTkpIo\nKSnh4MGD5crvZpLoCSHEbWDt2rW2+XL16tUjISGBOXPmULNmTUaPHl3B0d3eCotVpiyAr36C3AJr\nQmf7+puFs2rpKQAUfegfBWZ0WiNhfoep5n2cOhE+1K1dgqtTMq5OZtyczbg6WXBzNpOdr2XSNwH8\nsNnT1t7SjZ58t8mDR1t6su7L1xgwoCsajYb69WvRqFEd2ybEwcEBfPfdZNt1f9ebWq9ePRwdPcgt\nC2HAxDC+2+SJOXcnOBtRtNY5dLWi29O//RlGDaiBRnPlbVLuFt26deONN95g586duLi42E5MGTRo\nUAVHVvEk0RNCiNvAqlWrABgzZgwTJ05k0aJF9O7dm5UrV0qi9zcsFpVvfobXP4O0rKvXVUtPgzkX\nxbmetUBrPfe1VoiBjk3z6NjUROsGOTjpVaDqH1eVb1RVVbZu3cbQoR8wYcLTjOz5KJMXhLF6h+cf\n7yss2xqIJnwvT/9fFs90ySUmqogvvhh/TZ8nIeEE/v7eKPberPvNi88XqWw5EoGitZ58objFANAi\nGl5/Gry1R1AU0GjuzqH3PwsICGD9+vX07duXhIQE9Ho9L730Em+++WZFh1bhJNETQojbwMWeHaPR\nWO773Tp/7p9sj1cZ+RHsS7xUpqomFMX615pqOAulSbYhV63eG63igYuLiRb1CunUrJiOTfKpXuXM\nZW2Xlhqwt7ezDZnXq/cka9fOYO7cWaxcuYrkZBg37l1q1/6aubPn8E3NLH5J6Mj6vdb5exZVy4L1\nfixY74eT3sz9DQpp3ySfjk3zqRVisK26PXToOE5OjlSrFszvxzxZ/LOe7YcC2XvcA4tFAYJR/jRq\n37EpvN4PWta3NrB37w1+qJVcgwYNOHToEMXFxej1ejQa2VgEJNETQojbQvfu3Zk1axbTpk1j9erV\nJCVZzzF97LHHKjiy20tyqsqYWbB0gwXMBSh27gD4uWTyRLNdvPVqO7SaYlRLGYrihZPj72g0KlfL\nl0+fTsPT0xU3N2svX8uWg/n441E0axYFQJUqvsyZs5BVq1ah1+sZOrQVJ04c5cyZM0ydOpXJkyfx\nMqfYdSiTt+YGsn7PpeWsRSUqP+1y56dd7qjFCQR4mHm4fU06NDVSWODNpv0e/Pq7G+ez/z7A7q1h\nbD9oWFuS/mvhdDdNTrwGkugJIcRtoF27dnz66aeMHDmSY8eOAfDiiy/y0ksvVXBkt4fcAjPjZpzj\ny1+DMZQBllLI34Y+4GFefrKQUU/m4+ocgqIcvWpSB7B//1G8vd2pVi0QgBEjptGrV3ueeKIjAM2a\n1eXo0VO2RG/BggnMnz8PgCeffILhw4eTmJhI795Pcfhwgq3dxrXz+GFCJnEnfFm43os1G9I4c7YA\n/hhyRV+TdIOWL9fY8eWav49PUaBJHeh0H/RsC3VCJcET/54kekIIcZsYNmwYvXv3Jjk5maCgIPz9\n/Ss6pKs6f/4827dvR6vV0rp1azw9Pf/5oqvIK1RJToXkNDiVBnv2HaSAupxOVzh+VqUk4yi4V0VR\nFBStE0/0bM7E5w5RLfDKW5tctG3b79jb29kSt2++WYO/vzdjxvQHoGPHZuTlXdq0eMaMUeWGzD09\n3XB3t/YcxsXFkZmZybZt27BYwN7+0qrO9PQcTp7MpEWLqjSPUpkxIpRT6S6s3wPrY2HjPgfyi64c\no7c7dGoKnZpBhybg6ynJnbgxJNETQojbiIeHBw0aNPjnihVsw4YNdO/enfz8fMB61uyaNWto1KjR\n316jqiqZuXD8LCSlWL+fOGf9+UQq5KTtBae6KH+sIFULDeBkRNHoAC2KR3sAmkQW8cGLZ2kedeWs\naePGPWRkZNt66PbvP8rBg8fJyTlHbm4ONWv6YWd3aXjvueceL3f9leZFPvzwQ3z99dfs2hVHp04P\notFocHBwISamMxZLAOBEUFBdqlS5dAasRgM1q1q/hj4KRpNK7GFYFwub9oEKPNAIHmwGjWqDVivJ\nnbjxJNETQghxRaqqYjQa0el05crz8/Pp0aMH+aUu1Gj2MsUmd9LSs2j3zE4GDWmAyayhzARlRjCa\n4FxadVKzdKTmUK5HSy3YDfpwFHtva4Fd+R5BxaV80qiznKSBz6csHX8/wcFVbOVbtuxj06a9vPXW\ns3/EV8T8+WtsiV7TprX59tv5/P77Sts1TzzRy7blyd8xmUzs3XuEZs2i8PX1Z+bM+YwZM4m0tAz0\nei8GDXqBvn37XfOCGXs7hZhoiImGt2XXD3GLSKInhBCiHIvFwjvvvMO0adMoKCggOjqaefPmcU/d\nBmw/AF/8kEdOyGYU5yhOAuhACYF84IPF5dtSVQuK8sf2I/k7QRd0ae86fQ3bNicAWn0QVX2LuKeG\ngdCgMoL9Sli+cCL5mXvwdsnCXskhPzWfgQO/w8UlnGXL3gfA3d2FJUvW2xK9Vq3K94iuWLEEi+UC\nVatWpWHDe1m7di2LFy+hadOmtGrVqlzddet206ZNI+zsHNBo3HFxCcVkCkOjcaF27QasXNntRj1m\nIW6JSp3oTZw4kXHjxjF8+HBmzJhhK3/rrbeYM2cOOTk5NG3alE8//ZTIyMgKjFQIISqPqVOn8tZb\nb1lf6GtwIKMl9z2TiZ23hRKDBqiK4lz1sutUixFUE4rW0fq6YDdoXcHpHmsF5/q4utgRHlxMeFUD\nOem7SYxfjqP5OIGeOeReSECXbsdHU79Fo9FjMBTw3Yef4+vsybkUJ+LiVtG1axfOnz/Lzp0XMJlM\n2NnZUbduDb744n+2OLy83OnW7X7b64unJLz//hTCw8Nxc3Pjm2++5cCBAxQUaIiJqY+bmy/gTGRk\nK6Aa4IKiKNStW/OGP18hbqVKm+jt3r2bOXPmUK9evXLlkydPZvr06cyfP5+IiAjefvtt2rdvz7Fj\nx+QoFCGE+AdFJSrTvkyEsI/xr9WPjHzrZr1GwGgoX1c15kD+Jig9AZZSqgXa0a1rR6rVqI3O3oCd\nJgS9g5ELmdvw9yymQ8tAfD1MtlWxXbo8h7c5jRkzPqKgQGHDhuVs3LiJdes2MGrUN+zY8SkAzs52\nlJSUUlBQjEajwc4Ofv11hm2fOzs7O5o3L/93wUUGQxmOjtbf/Xv37uXgwTPExyeh0/nj5BRBixaP\n4eLii6JY59ZVvTx/FaJSq5SJXl5eHn369GHevHmX/tX5h48++oixY8fSrZu1e33+/Pn4+fmxcOFC\nBg8eXAHRCiFuFlVV2bJlC0lJSYSEhNCuXbubdi7snUpVVQ4nw9rd1vNft8VDmfdcFCAj/y91zYWE\n+WbRuW01GtXM4svpfTieugcvLx0dO8bwxhsjcXMDRTla7rrDh08D4Ofpayv74osVGI3W88mcnZ3p\n3n00vXtbh1zt7bW0adMIBwdXAgMDSEtLp149X555ph+5uXmEhobSuHG9K86Ny88vRFEUXF2dUVWI\njT1Mx449mT37KyZMWEh+vpGcnBIcHBxo374P7u6S2Yk7W6VM9IYMGULPnj1p3bp1ufLk5GTS09Np\n3769rUyv19OqVSt27twpiZ4QdxCz2Uy/fv1YuHChraxDhw6sXLkSvf7uPvfzWiSeVpm2GH7eDWcz\nrlxHNReiNRzBYkjDrnAjn096iIZ1nalbVwsU0bfze5SUFKMoCo6OV3/mX321luef97TtXTd79nLq\n1atDZmYGL7zwAr6+Tvz88wZcXBRiYpozeLB1tcL06R/y8ssjSU1NA6BatRCmTZtqS+izsnIxmcz4\n+3ujqpCSko2DgwfOzkGAEy1a1CMmRkNpaRCTJk0iIyOP+vXrM3v2bIKDg2/IsxTidqaoqqpWdBDX\nY86cOcyePZvffvsNjUZDmzZtiIqKYsaMGezatYsWLVpw+vRpqv6p/33gwIGkpqaydu3acm3l5eXZ\nfr64C70QonL4/vvvmTx5Mo6OjrRq1Yrdu3eTl5fHgAEDGDp0aEWHd1tbv9+TCYuqUVJWvvdTtZRC\nwW7CwhtSdPZ7tPkrcVFi8fKA7t3b0blzR6ybgvyzzz9fRePGtbn33ggMBgNjx86hdev6PPJICwBW\nr95B1aq+bNiwivj4A4B1CLZ///60bl1+gYTRaCQlJQWNRoOLiwdFRQaqVfNHUbSkpRVjNNoTFBSK\nyeSAxWJPJftrTYj/JDw83Pbzxf0e/6xS9egdO3aMcePGsWPHDjnDToi7XFxcHADPP/88vXr1YuPG\njbz22mvEx8dXcGS3L5MZZqyswuItAYB1RSzZy3Gp0oX76hQQc08mEX4Z1KuzkbIyDQcOhFJY6ENo\naCihoaH8NckzmczY2VmTxc8+W0lAgBfdurUEoLCwhNWrN/PNN59x4cIFjEYdmZmeqGoMiqLQpYv1\ntIj69V/h7NmzFBYWEhRUBXd3t3L3yM0t4OzZTOrWrQHoyMtTsbMzYzRWw2zW4eZmHb412OYPSpIn\nxJ9VqkRv165dZGVllVtBazab2bp1K5999hmHDh1CVVXOnz9frkfv/PnzBAQEXLXtq23yKa7P3j9O\n2pZneuPJs70kJCQEgKysLBo0aMCyZcsACAwM/FfP5059tiUl1vloGTkKvf4HW39dBF7dULSOhAdb\nmDIhkodaHMXe/uIiiYurTIOpXz/K1o7BUEZeXiF+fl4ATJkyn7y8Qt5993kA6tQ5zJ49Cbbfz337\ndmLkyJfRaIxoNAr29mVs2fILrVo1ts2hvigyMtI23y4vr5Dduw/RoUNzVNWJ0lINoaFGAgKqoygO\nwJU3NK5McnJy2L59O6qq0qJFC7y8vP5VO3fq/7O3g8r0bP88Onkllapb7NFHH+XgwYPEx8fbvho1\nasSTTz5JfHw8ERERBAQEsH79ets1paWlbNu2jZiYmAqMXAhxow0cOBCtVsu8efOws7Nj4sSJgHUO\n790sOzsbwx/dW6qq8uuv6/l5+3kaPmNmWzzg0wNF60iXFrnEzk2gW9sSdDrTZefDZmfnER9/zPZ6\n4cKfGTnyA9vrqKiaxMVder93705MnTrC9vrQoX1oNEbatm3Dl1/Oo0+fPgAsX76C4uJSW73SUgML\nF/6CxaLDYvHC2TmcJk26AtEoSgROTuEEBUWi0eitR59V8iQvNjaWWrVq0bVrVx555BEiIiLYsWNH\nRYcl7mCVKtFzc3MjMjKy3JezszNeXl7UqVMHgBEjRjB58mSWL1/OoUOH6N+/P66urjz55JMVHL0Q\n4kZq2rQpK1assPXs+fn58dVXX9GlS5cKjuzWSktLs/2LXlVVEhMPk5OTgsWSisVyguSSe+n2hj9p\nWdYhVo1Gy4Qh51g+8SQermZbOxkZ2axcudn2Oi7uGMOGTbK9vu++aHJyLi3Dbd++KatWXUr83N1d\n8PK6ND+opMSazFWvXoOcnAKCg62jLKWlJaxYsRWj0RGLxR+drjY9eryEotRFownDzi4IT89gFEVb\n6ZO6vzIYDHTv3p3MzEyio6OpX78+WVlZPPbYYxQXF1d0eOIOVamGbq/kr78IRo8eTWlpKcOHD7dt\nmLxu3TrZQ0+IO1Dnzp3p3LkzBoMBBweHig7nP1NVlXlrYM5KKDaAgz3odeCgu/SzqSQFvYMWX78g\n/DxV1KIMQqroqR1ehL9XIfUbOKN3yKO4tIBnJ4ewcP2lYUFvdxML3kymQ9MCsrJymTt3Ba+91h+A\nwsJihg2bTNeurVEUhcaNI/9YyWo9Jqx27VB++unSxvR2dn//18epU6lERUWxePFiFi5ciLf3XgoK\nCigrCyAi4hGefHI0oLH9/v7LCWt3rGPHjnHu3DmCgoLYt28fiqIQHh5OcnIyCQkJNG7cuKJDFHeg\nSp/obdy48bKy8ePHM378+AqIRghREe6EJK+gSOXZKbD41/LlquEMWEpQHGtZX5dpAS2KDkABoi9r\ny93FhJ0WsvIu/Yq/t1YhVQqfp32TFwEFJyc9//d/c3nhhSdwctITFlaFXr3aU1ZmxMFBh6urs+2I\nsX9y7Nhp/P29cXNzATRkZhpp2vRRHn88jw8/nENe3hEMBgMxMTGMHv0WinJ37nV4cdufgoICMjMz\nsbOzs/XGypZA4map9ImeEELcbCkpKYwfP57ExESCg4N54403iIqK+ucLr1F8kkrP/0FSCqiGs1B2\nFsW1mfVNrTtoLo1IKLqgf2wvr7D8r/ZBXS8wY0QKEeHrOHGiOzVrBuPoqGfGjFcxGk3WdhWFDz54\n+ZriPXIkGXd3FwID/VBVBxTFC4ulCqoagKI40ahRfRRFYezYybRv34PVq1fj4+PD0KFDr9oTeKer\nWbMmzZs3Z+fOnQQHB6MoCiaTiYYNG3LPPfdUdHjiDnX3/okTQohrkJaWRtOmTUlLs27Yu2vXLtas\nWcPOnTuJjr68N+1alJaWotfrUVWVaV+f5/Vp+zC5PmR9096XZ7oqvPjEUQxGKDMqlJZpMBhzrN/L\nrK8LijWkpKtk5unJynMgPdueQ4kFWLS+mC3W6dcaSnip626mvWadO7dgwQR8fDxscQwc2O2y2K7k\n8OGTgEKdOjVRVWc8PcPR6z3/SOzsCQ//+7l0f161eDcneWBNppctW0afPn349Vdr1+3999/PggUL\nZMswcdPc3X/qhBDiH8yYMYO0tDSaNGnCu+++y4wZM1i9ejUTJkxg6dKl/3i9xWIhOzsbFxcX3nrr\nLdauXYvZbGLYCy+wPbUfi9b7gksHFMDZ0czno1Pp3SHnim0dP56Cm5uzbYuT9u2HMWJEbx5+2LoJ\ncd++/6PtA03p0u0RMnLs0RhPUS34UmLXsmWDK7arqqptyBbg6NFTZGcX0KxZE8CJqlW90GpdAS8U\nRSEg4M5aJHEr+fv7s379evLz81FV9Yob3ApxI0miJ4QQV5GSkgJYt3Np164dGo2G1atXc+bMmSvW\nV1WVEydOULOmdT86s9nMjh1b+eWX79m9exPOzmaKlTBe+ao1Bo3jH9uaaIiqUcLSd05Sq5pt51/2\n7TuCXq/jnntqADB58nzq14/g+ed7AtCq1b2cOZNuqz979jj0egcUxYyPhxm48v6hJpOJgoJiPD2t\nmxMnJ6dy5kwGrVrdDzhRvXo1wsNdURQdiqLg5nbFZsTfKC4uJjs7m4CAgL/txXSThypuEekrFkKI\nq4iIiABg6tSpzJkzh9dff71cOUB8fDwmk+mPo7csnD2bRFnZWSyWZLTaRCIiDPz22yL0TkZaPLaI\no3bbMGhq264f0PkCu2YfJTPlN375ZZetfO3aHXz11Y+21x06NMNisdhe/+9/gxg69HHba0dH/RW3\nJCkrM9oSQlWFnJxC4uPPYrH4YLGEEBrajtatB6AoNdBogtDpfNBqHe647U1uNovFwujRo3FzcyM4\nOJjAwEDWrFlT0WGJu5z06AkhxFWMGDGCpUuXkpCQYNuM2dvbm9deew1VVVFVA4pSQFlZMnq9BUUp\npnVrPxTlPDn5WnYcdGbhj+Ek6nZSojZi97JLv3YVtYju9Zcyd2w9wLotycqVW+jY8T4AOnVqzp49\nh231e/Rod00xm0wmDh9OJjo6HFUFs1nL6dNFVK0aBDjh4+NE69Z2ksjdYFOnTuX9960rlT08PLhw\n4QLdu3dn37591K1bt4KjE3crSfSEEHe9srIykpKSsLe359577y03Md7NzY0ZM2bw008/kX6hiJDQ\nUGJimvw/e/cdX/O9P3D89T0j52ScTFkSEjJIbEGi9iZql4v+aEuNourqVkqjrfaqDreD0qGoS/Wi\ntfe1R+wIsUkksndyTs74/v44HE0FCVKjn+fj4SHfcT7fz/nkiHc+6w0aNWeunMFkNoGDO6cTjZjM\nEldSndlx1ImdR504ft4eWb4eTP1p/ERrOUl1/VAuHtADCwFo164JZvPNHrsmTcJp0iScstzY3+7G\n1zt3HqFFi4YoFEokSYfBoMNsro4kOaLVamnZsokI7CrZwoXW7+PPP//MwIEDGThwIMuWLWPZsmUi\n0BMeGhHoCYLwtxYbG0ufPn1ISkoCrBk3pkyZQs2aNalVK5CsvGIOJdVge+ZkDp91gbPApjuXeUdF\nJ/BW/05VPuK96W8CTrZLfn5ePPfc07d9qSzL/PjjjyxevJikpDwiI+sybdp0AgLq4OtbD4slCIXC\nGYVCSdOmZQeIQuUpKSkBwM/PD0mS8PX1LXVeEB4GEegJgvC3YzAYKCkpQZZlnn76aTIyMqhWrSpu\nbhqKiy+zYuVsej33FdOmFrNqpwslRrd7eo5SISMXHGLsEB/aNzWgKtrC5vUrqFatCl26fHXHvdMs\nFguyLKNUWjcXXr9+LxcunGTx4uUYDFrMZjs2bUrif/8bz8GDBwkJCbK9Njs7mwMHDqBSqWjevDkO\nDg73VH+hYjp37syZM2fo2bMnjRs3Zvv27QB06tTp4VZM+FsTgZ4gCE+8oqIi8vLy8PHxQZZlEhOv\nkJubTmFhGv7+Eu3b12fSpH9y4pySVz++yk8nB/P9m7duTKxWWXDSFOHkqEalApVC5ty5S4TV8kej\nUaBSypyKO8Zz/Tzp0Rqa1y1ENhfh7Jx2vYQmdO/S5JZyrXXUI0nWBRUAW7fGEhISRLVqwYADrVsP\n4NVXW5OQkM38+fPp2bMnXbp0ITY2ll9//ZXRo0cDsGPHDvr06UNWVhYAAQEBrF27lvBw0cNX2T76\n6CMSEhLYtGkT27ZtQ5IkPv74Yzp06PCwqyb8jYlATxCEJ05hYSHJycmEhIQgyzIFBTkkJ5/Hy0sG\nCr8LUtcAACAASURBVAkKKgI07NiZRD5BHM8awKAPu3LycpUy9yJoEJzLiz1zGdgxm9ZP9WPRohga\nNbKumn3xxemMHz+Q+vVDAK5nisj/w6udbi0QyMnJR5Zl3NyckWU4deoyLi5e1KxZHXCkXbtwFApr\n0CdJEg4OcPXqNcxmM23btsXd3Z1GjRoRGxtrS6OVl5dH3759ycrKol69ehQVFXH+/Hn69etHXFyc\nrXdQqByOjo6sX7+egwcPkpqaSt26dalZs+bDrpbwNycCPUEQHnvFxcWcOHHielJ4GYulkOLiFCwW\nO6AQT089np4OQDJnEzVsPODG5oM6th2uT75mLORj/fMHXm5G/q9rFgdWv8E/e9enT592AIwY0RuT\nyWy7b/78KaVed7sFD5mZORQV6alWzQdZhvT0YmRZi4uLH+BI48YNAcUdF0w0b96c9evXEx0dTZMm\nTViyZIntPMDhw4fJzMwkLCyMo0ePYjAYqFq1KqdPnyYxMZHAwMDyN6pwTxQKBZGRkQ+7GoJgIwI9\nQfgbiYuL45133uHChQvUqFGD6dOn06BBgwqXc2Noyt7enoEDBxISElIJtb09k8nExo0b6datG7Js\nRKUqwsWlBFk+hyQV4uRkJjzckcvX8riQrOFCsjsH4h3ZdEDHlVTNbcuV5BIcSjbQM+oyP37+FGoV\nrKkRgZfXzTl6EyYMLvO1xcV6DhzYT35+PuHh4bi4uHPtWibh4UGAAqPRAYNBi8VSA3AkONiuwqtg\n586dS7t27Th16hSnTp0CYMqUKbRu3RoAtVoNQH5+PgUFBRQUFKDX60tdEwTh70UEeoLwN3HmzBla\ntGhBXl4eYA36tm7dyoEDByo0f+u9995j2rRptuOPPvqINWvW0LZt2wda32vXrjFu3Di2bt2KVqul\nWbNmLFq0EAcHCYWiiIYNPbFYTmIwGlm3z5mziYFcWKnhYrIXF5I1XEm1w2y+eyDlap+Fj/0RerbO\nISI4keBALxSKKqiv/3S8kV7sTtLS0njxxVEkJCTi5qZBpXJg2LDxtG/fA1kORZIc8PZW3HfqsOrV\nq3PkyBF+//13srKyaNq0KVFRUbbrTZo0ITQ0lDNnzuDr64vRaMRoNNKuXTuqVr11zqEgCE8+EegJ\nwt/ErFmzyMvLo0uXLsTExBATE8OaNWuYOXMmP/zwQ7nKOHnyJNOmTUOpVPLyyy9z7tw5Vq9ezXPP\nPcelS5fua5+2/Px87O3tUalUGI1GWrduTXZ2Op6eWhwcZFJS9jBv3stMmPAykgRVqyo4fk5Bv0m1\nOX9VW+7naNV6XKVDTBpbnc7N8tCpr2IwlFBUVAxUITy89m1fazabbfPcior0bNiwj9692/Pxx3O4\ncqUEL6/6BAaG8csvK9mzJ4YDB54mMFB3z21SFmdnZ5599tkyr2k0GtauXUv//v05cuQIAB06dGDJ\nkiViDz1B+JsSKdAE4T7Issy8efOIioqiQYMGTJgwgcLCwoddrTIlJycD8Pzzz9OsWTNeeOEFAFJS\nUspdxrFjxwCIjo7ms88+Y+XKldjZ2XHlyhVycnIqVJ/09HRbW8myzMGD+8nMTMRiSeXIkZV4eqYT\nGenAhg1f8tVXkzCZ0lmyZCElJdZcsD+tc6f5yFp3DPLcHHOxN+5Elf0TvsYphBha0tmtHseWFTPu\nmXRCqxvw9a1CYGDZvV25uQW2r81mM4sWrcdkssNi8UCjCaZDh2eBBnz77VaOHUtl8eLfWbjwPzzz\nzDPIssyuXbsq1CYPQlBQEIcOHSIlJYW0tDQ2b96Mp6fnX14PQRAeDaJHTxDuw7/+9S/eeust2/Hx\n48c5fvw4mzZteuRWONapU4fVq1czdepUUlJS+PbbbwEqNGzr5eUFwP79+9m/fz8JCQmUlJSg1WrR\n6e7cc5WcnIydnR1VqlRBlmWSki7i7a3D3l4HFNGunQeQhSRlkZd3Ab0+h+rVQwkMDMTPzx+tVoNe\nb+D8xTTGfeLH9lOBtrIluYCXBxQR7G/A3SGDL2d9zJa1b9K7ZxfSTRlMnDSBJk2a8OabP5J45SqH\nDx+kS5cut9QxLS2b0FATKpUKWYYtWw7RrVsXNBo3JMmBZ5+tXyoH7I289Pb29hQUFHDixAk8PT05\nd+4cYF2F+TBIkoSPj89DebYgCI8WEegJwj0ym83ExMQA8OWXX1KrVi3+8Y9/sG3bNnbs2EG7du0e\ncg1Le+utt/j999+Jj49n4sSJANSqVYvJkyeXu4w2bdrQvHlz9u7dW2pu2BtvvIFKVfrHSWJiIiaT\n6fpKTwt6fSaybMFiyQcKadhQiSQVAUW3PKd27doolQr27z/AW29NYt26Y6hUBty8IxjyUTuOnHW2\n3RsWUEwN4z/5ZNwIWx0GR7+BLFvIzs5CkqBXr97odE40btyYpKSrZGVlA3Dx4lW8vNxxcLAHFCQm\n5lNY6IhO5w040KdPI0CyBXaK24yBjBw5kg8++ICnn34aSZKQZRlPT0969uxZ7rYVBEGoDPcU6G3Y\nsIHvvvuOCxcukJ2djSzLpa5LksT58+cfSAUFobIYDAY+/vhjdu/ejU6nY/To0XTsWL6k8WDds6yo\nqAg7OzteeuklFAoFLVu25LfffqvQcOhfxdXVlb179zJnzhzOnz9PjRo1eOmll3BxcSl3GWq1mnXr\n1vHqq6/aVt0OGzaMCRMmkJSURHp6Og0bNkSW9Wg0xajVhcjyGSSpkBo1ZKzxUtYdn2GxWHjppVm8\n8soEPvvsUzZu3MjJkxDS9GkumpaRc/bmUO0/OmQx760rODm8dEs5kiQREhLK6dOnee2116hTJ5wV\nK9ZhsUBoaCiyrKSgQI2LSxXs7X3R682EhdXCxaXiOUmnTZuGwWDgyy+/RK/XU7duXRYuXIi3t3eF\nyxIEQXiQKhzozZw5k7feegtvb2+aNWtGvXr1KqNeglCpzGYzPXv2ZOPGjbZz//3vf/nPf/7DgAED\nylWGq6srVatWJTk5mcGDBxMaGsq6deuAig2H/pWcnZ1544037vn1JpMJFxcX5s+fT0pKCvHx8bRv\n3wZZzsfVtQQHBwk4gSQZuT7KCxSUWY4kSbbh7TZtRvLTT+8REOCLQqEgKSmV4OD6/PTTTxyMPcy3\na5qw7+og5EJrz5pKKTNzXBLj+6dzpzUGgwcPIyZmGidOnCQu7iKy7EbPnv1p1OhZQEvdug1svXUW\ny71PWVapVMycOZOPPvoIg8EgUo4JgvDIqHCg98UXX9C+fXvWrl0r9mUSHlsbNmxg48aNeHh48OWX\nX7Jv3z6++OILXnvttXIHepIk8d1339GrVy+WLl1qO//666/TsGHDyqr6X8ZisZCfn2/r8cvMzGTH\njv/Rq1dXoAgPj2KaN/cAjiNJMk62BBDmW8pKS8tCq7XD2dl6U8eOY4iJGU3r1o0BcHd3Zu/e4wQE\nWJPA//DDVPyrVeXkFV+WHevB3qSbvY5Vq5SwdPpFWtQvtNVTcX1MNSHhEoWFeho1qocsOxIV9TQL\nFrRj3bptZGTkEBkZSY8ePSptBapSqRRBniAIj5QKB3rZ2dk888wzIsgTHmuXLl0C4Omnn2bgwIH0\n69ePL774wjav7M/zzW6na9euHDx4kMWLF1NcXEzbtm3p06dPJda88lgsFpKSkqhevTpgHdrevn0L\nPXp0AApxdS2kV68aSNIpJAns7Kx/ynLq1EUcHLS2wG38+JlER7dg6NCnAWjYsBYnTpyzBXpz507C\nzc2ZIr3EpoPOrNrRmd93u5CZW/r70LphLj+8fZoa/tafP+fPJ3HlSipt2rQGHKhWzRtJcgJckCTw\n8JDw8IDatcvOLysIgvCkq3CgFxkZSUJCQmXURRD+MsHBwQCsXLmSefPmsX//fgACAwPLHeTdUL9+\nferXr//A6/hXOHHiBHXq1LnewyVz+vQxqla1Q6HQo9EU0bNnIHDujsOjBUUK1m65TEqWA07uoVxJ\ntWPFmgKyi1yxc/DGw9WMQv0RP23PIt+xCv5eRgaPnER1bzMWi4msPCVrDwazaqcrGw84U2y4OYQq\nW4xgykay8+K1wamM63GMswlXCKjaAXAgIKAmNWo4IUkqWz5YQRAE4aYKB3pfffUV0dHRRERE3HbT\nTkF41HXs2JHevXuzcuVKRo4cCViH3WbPnv2Qa1a5YmNjCQ8Px97eHlkuwWDIpKTkMnZ2JiSpgE6d\nqiJJV+9YRmGxgulzilixqzoZhT5k56uAPw9VW3vyKICLaQDWfeq2/ul3RLXKgtkiYbFYI0lZNoH+\nApK9NRD3dc+jabX9vDY6khb11UBrqlWzLsaQJOm2q2AFQRAEqwoHev369cNgMDB06FBGjRqFn5/f\nLfuFSZLEyZMnH1glBeFBUygU/PLLL8yePZvdu3fj7OzMiBEjeOqppx521R6ovXv3EhQUhKenB7Jc\nhJubBbiCLJuQpBKaNNFxt1WwAAcOxPHzr2dQVXuZ71d7kJP/YHZmKjECBbFIuqbXz0gEeiQysK8v\nvVpB0zBXFIrKm1MnCILwpKvwT2svLy+8vb2pVatWZdRHEP4yKpWKiRMn2vaUexxZLBYsFottuHn3\n7t14eXkRFOQPFBEc7IhOlwpcRZIsBAUp2XUMNh10x8PFRHignrBAPVWrGLFYbqb3ios7x9Spc1m+\nfCabDuiY8WMn/nfs/0C6tQvNTm3B39NIde8SqnmXcDZuA1cv7mBwv0ie6RXF+s1HmPfTFryrRdGg\nWR9OHD5AoeopkrOcyMpTgVJDVLie3m1U9GqlIrR6OxHYCYIgPCAVDvS2b99eCdUQhMdbYqrMtSxo\nGAJqVeUEKStWrGDmzJkUFRXRq1cvJk2axJEjR9Dp7AkLCwSKaNTIDY2mEEmKR5Lgj5mv9sY5MnWe\nL5tjnW8pW2dvxJB7nGf7VCe8hp4a3nasjm1A2KAwziTaW2/6w9sK8tMztl86A9rn4ONhLDWEOnXq\nf1h9bjXuilwa16rPT98spoplM+1D0/ng9U4kJvrg42PBzk5BkR5kuT5ODiKwEwRBqAyPVWaMGTNm\nsGLFChISEtBoNERFRTFjxgzq1KlT6r5p06Yxb948srOziYyM5Kuvvnpk9zUTHm8FRTLTf4TP/gMm\nMzjZQ9vGMh2aQKemEBbIffVO5efnU1hYyOrVqxk5ciRarRZnZy3Ll39LdvYJZs2KQaUq4caCibIW\nI8SecuDd+b6s33f7jZHzi9VgF8EPa26c8Qf/TzmTWPq+rlG5jOuXTteoPFtwZzabMZlkW6+it3cw\nkmTPypVbWb58N1lZJeTnO/HUUyNRKGoQEFDDVp6j/T03jSAIglAO9xToGY1G5s2bx5o1a2zbVAQG\nBtKjRw+GDx9eaVuv7Nixg3HjxtGkSRNkWWbKlCl07NiRU6dO4erqCsDHH3/MZ599xoIFCwgNDeW9\n996jU6dOnDlz5qHlnRSePLIs8+t2mDgbktJuni8ohtW7rX8A/DyhYxOZjk2hY1Pwdr9z0Jebm0tq\naur1zA0y+flZZGZeZeHCWdSPakVIo0HY2Xtx/MAStu45Quyh3TSPKnvrkI//fYRdl3uxZm+VUucV\nCpmBHbLZ8b89uPs351KqK3mFt8/Lq3Mw83z3TMb2TSe0uoGiIj3FxTKO16O0PXtO4O3tS3BwGODA\nsGGT8fJqzpgx40hPT8LFxYVPPvmEHj163LVdBUEQhAdLkv+cv+wusrOz6dChA0ePHsXb25uQkBAA\nzp49S2pqKo0aNWLz5s24ublVSoX/qLCwEBcXF1atWkX37t0BqFq1KuPHj7clmtfr9Xh5eTFr1ixG\njBhR6vW5ubm2ryuSBkq4s9jYWACaNHm4e5clJyfz22+/odfradu27QPbxPjMFZnxn8HGA6XPu+og\nJ//Or61RFUL8Icgfgv3Azz0PS2E8vaOj0NiZyctLJTn5MrK2OodOy8SetuNgvJb9J1XI0q3ddSql\nidBqRmoH6CnKOkaHp5ypX1vHvN+qsHzbn/8NWugScYkvXismtLrBdlaWISVDTfwlLfGXtJy6pCX+\nohZJgv7ts+n91BXsVAY8Pd2QZTh58iJKpRO1atUFHABHJMnulp5LWZbJycnBxcXFtqHxo+xR+dw+\niUTbVg7RrpXncWrbu8UyFe7Re/vtt4mLi+OHH35gyJAhth/gsiyzaNEiXnzxRSZNmsQ333xzH9Uu\nn7y8PCwWiy2ovHjxIteuXaNTp062e7RaLa1bt2bPnj23BHrCo8lisfDdd9+xb98+nJ2dGT58OHXr\nViz/6P79++nWrRvZ2dbk9QqFgq+//ppRo0bdcm9GjkyhHvw9Qam8fY9bkV7mw5/gk5+vrxa9zssN\n/jUWhnSF81dh00HYfAC2HobcApBlC9L1RQwXEou5ELcJyd2a7F622IPRH+WnMtW9TXi7uRB/qRn5\nRX/qYbtNtUxmFfGXVMRfsgfasv5E2ff1b5/N1GEphNfQ33JNkqCqp5GqnkY6Ns0nJyef7Ow8atTw\nQ5YhMdFARo6Eh4c/4ECdOg0BxV2HpCVJuuMvfAaDgV27dpGfn09ERATVqlW7Y3mCIAhCxVW4R8/X\n15dBgwbx6aeflnl94sSJLFmy5C9J6j5gwAAuXLjAwYMHkSSJvXv30rJlSy5fvoy/v7/tvuHDh5Oc\nnGzLQ3rDH6Pgs2fPVnp9hbu7MSS/YcMG2zmNRsMXX3xBREREucvo06cPV69epVGjRnh5ebFhwwaU\nSiXLly+3fTbyipTM+rUa62I9AFApLfi6leBXxYCfhwG/KiXX/zZwNUPD5yv9ScnS2J6jkGT6tUxn\ndHQyOoebab/y8/PR6XSYzBB/ScPi5VvJtR/K8UvOmMwKZFMOksq1wm2jNCViZ4zFQZ2OQQrGoKiD\nUfK+42vaN0xkTM9j1K6Wc9t78vOLSEpKJywsAElSkZMjk5VloFq1YMxmDRaLkgr+mLirtLQ0xo8f\nz/nz5wFQq9VMnjyZ6OjoB/ocQRCEJ92NkVV4QD16OTk5BAUF3fZ6UFAQOTm3/0/lQZk4cSJ79uxh\n9+7dYiuGJ8j+/fvZsGEDjo6OvPjii5w4cYKtW7fy8ccfs2zZsnKVkZuby9WrV9FoNHz99deoVCqy\nsrI4ePAgZ86cwd/fn72nnHl/SQDpuTdzeJnMChIztCRmaO/6jLqBBbzZ/wq1/Iu5du0a9nZVbIsR\nDh8+RKtWjXF0kImqZ6BZHR8UirUYjJCUruNymo4raToup+pITLd+nZLliCzf/By764pxt0vAkZOM\nGFSVuoGZ/PLzQjZv3k+Hp2pSu3ZtgoLCyclXoHAM4+I1Zy5dc+biNWeSMnRU98znha4nqRt46x55\nRUUGjh8/T1RUXSRJg52dDkdHHUZjICaTGrVawtsbSkpuvOLBBnkA06dP5/z583h5eeHn58eRI0eY\nPn064eHhBAYGPvDnCYIg/F1VONALDg5m1apVjBkzpsw5OStXrrSll6os//znP1m2bBnbt28nICDA\ndt7HxwdZlklNTS3Vo5eamoqPj88dy3wcxuEfF/czt2H3busqhoEDB/L5559TWFiIk5MTly9fJiIi\nolxBvV6vR6FQYDAYKCgooGbNmly9as32ULtOU+ZtjWDeqtKvqeIKGeX4/aSKK0zokcC4wX7odOGA\nzO7d2wkP98HJSQEUERHRHpD/kDbsZq9boz+UlZd3jcTEY9SpE4TeIDH72/2s3niOxfOfw9/LyLZt\nB4mJmceYQd8CLtQPm0jfvsfw9na/zSpyI5AJZGKxWFAofAAfTCYT//3vdp55phPghMWipWrVQnx8\napY5t66ymc1m22fk6NGj+Pr60rNnT37//XdbLu2H4XGak/O4EW1bOUS7Vp7HqW3/ODpZlgrPkB47\ndiybN2+ma9eurF27lnPnznHu3DnWrFlD165d2bp1Ky+//PI9V/huXnnlFZYuXcq2bdtKdVcC1KhR\nAx8fHzZt2mQ7p9fr2blzJy1atKi0OgkPzo0Afd26dWzYsIEPPvjAdr68AYlWq2X06NEAdOrUiaCg\nIJKTkwluPIxXvm9TKsjzdIVfP4S0NRL5m+HYT7DiI5j1MozpC92iIMD5BD66a7zUB+IXl9C3bT4W\ny1Vk+RxwnBYtXHB2zkShSEehKESS/hjk3ZSVlcuaNbtsx8ePn+O556ZZ66yR6RddFVPmZqp5G5Ek\naN26ERs3fmW739VVh7e3e5nvubCwGIvFYjtevHg9er0Ci8UdhSKQrl2HIkkNkKQQVKrqVK0ahkKh\neSi94QqFAjs7a09qYmIiBoOBa9euAdZhekEQBOHBqXCP3ujRo8nIyOD9999n8+bNtvOyLGNnZ0dM\nTIwtd+iDNnbsWBYtWsSqVatwcXEhNTUVACcnJ9vWKRMmTGDGjBnUqlWLkJAQ3n//fXQ6HYMGDaqU\nOgkPVo8ePYiKimLfvn107drVdv7999+vUDmff/45jo6O/PDDDxQbwKfZfC7oeyBfuxnY9G0D37wO\nnm4SZrMZR3sl9YLAlHeE2o0cCP1HTWS5iNRUCUfHDJycMpCkEqq4KoDCu9YhN7eA+fNX8uqr/wdA\nUZGe55+fRlraJiRJIiKiNh4eLtd73xQEBfmzZ8/3ttffGAouS0ZGDs7OjtjZqZFl2LIlltatW+Hs\n7A04MGjQqyiV9rZAzvnWPZIfGkmSGDp0KHPmzCEyMhJ7e3uKi4vx9PSkW7duD7t6giAIT5QKL8a4\nISMjg82bN3P58mUAAgIC6NSpEx4eHg+0gn+kUJS90m/q1Km8++67tuOYmBjmzp171w2TxfYqleN+\nu7zz8/OZMmUKe/fuxcXFhbFjx9KrV697Kmv/SZnn34eEKzfPuTgamPlSCcN765AkiSNHjmCxmGjU\nqDZQTFFRJiqVAY3GQukh2DszGk2MHPkB3303BYVCQUmJEXf39iQnr8PZ2QmAl1/+FzNmjMPJqYyd\nje8gJSUDJyd7EhMvAxJZWTKhoWFUqWJdCStJjpRnJWx5pKWlsWLFCgoKCmjZsiWRkZH3Xeaf6fV6\nXnrpJRYsWIAsywQHB7N06VIaN278wJ9VXo/TUM3jRrRt5RDtWnkep7a9Wyxzz4Hek0AEepXjYf8D\nkWWZLbEwawls2A+yuQBMuUgaP7pEwuSB59Eq02jUKBQowmIpRKnUA5ZyBXWyLNsCqm7dxrNoUQwe\nHtZVtMHBvVm1ahZ16lgXLM2d+yv9+nWgSpWKrbJNSkpFrVbh5eUBSJw8mYyHR1XS0/Mxm7U0bNgM\nuL+sG2U5ceIEHTt2JC3t5i7Q//rXv3j99dcf6HNuKCwspLCwEE9Pz4e+qOphf26fZKJtK4do18rz\nOLXt3WKZR38XU0EoJ6NJZtEGmQaD8+g04gQb9l+/YNHjoMpizus5rJ55jqeaFtC4sQaF4jIKRToq\nVRGSVHaQp9cbMBhsy0/p2HEMR44k3Hym0cS+fXG242+/fQdv75u92qNG9StXkJeYeI3z55OQZZBl\nNRaLMxaLL7IcDNSnTp3u+Po2pqTEEbNZiSRJZQZGsiyTnp5OQUHB3RusDEOHDiUtLY1mzZrx3HPP\noVAoeOONNzh+/Pg9lXc3jo6OeHl5PfQgTxAE4Ul110BPoVCgUqkoub7XgkKhQKlU3vHPneYWCU+2\nkpISNm/ezOLFi1mzZk2pBQIPkizLFBcXc+nSJS5ezmTUpC3UfAaGxsCJi2pQWodGFQqZZzopifuv\nxMjeF1Aq85Ak82177pKSUklPz7YdDxjwVqkFFIGBvuzffzOwmzPnbVq1uplxo337puUK7K5eTePQ\nodPIsoTF4oBW68fVqxJr1lzk2DEL/v5P4etbD4XCBUlSlSsQOnHiBHXr1sXLywudTsfgwYMpLLz7\nXMIbSkpKOHr0KABbt27lxx9/pHfv3sDN324FQRCEx8tdI7J3330XSZJswduNY0H4s/z8fDp37sy+\nffsA64KIvn37smzZMpTK2+dSvRtZlsnLy7N1Sev1eoY8N5JtB7Iwu3Qnz34gFlNdpOtb4klKexwc\nA3mhexoTBqQR5F9y27Lj4s6hUCgID68JwIwZPxIU5MfEidYFFM2b1+f8+STb/Z99NtGW4xUgOPj2\n2Rz+OMSblpbF8ePn6NChObLshIuLK1qtCqiKxSLx2mvD+emnn2yvHTZsGPPmzSt36rCcnBy6du1K\ncnKybXHDkiVLUKvVLFiwoFxlqNVqHB0dKSwsZP369URERHDs2DEAWy5pQRAE4fFy10Bv2rRpdzwW\nhBumTZvGvn378PT0pFWrVmzZsoX//ve/zJ07lzFjxlSorPPnz1OjRg0kSeJcooVvf1iP1vdp4i4o\n2HeihGtZ85Gqqm333wjyvN2NjHsmndG90/FwMd9S7qFDp8jMzKVz5ygA1q3bQ2JiKrNnW+egdejQ\nlISEy7b733rreSwWC9nZObi4OKPTOd62znq9Aa3Wuj1Ibm4BmzYdoG/faMARV1dfoqIaAh5IkoST\nk4STdX0GX331BT/99BNarZa2bduybds2vv/+exo3bszYsWPL1V6bN28mOTmZevXqsX//fs6fP0+9\nevVYvHgx8+fPR61W37UMSZJ45ZVX+PDDD0vtZVerVi26dOlSrnoIgiAIj5YKz9GLiYkhLi7uttdP\nnjxJTEzMfVVKeDzd6MmbNGkSb7/9tu1zcOP8nRw+fJji4mJkWUaWTazZfomOLxfg2tlCrUEKZm0c\nwAcLHFi1U0tqjjOSonTgorXE0yN8NheXx/HOc9dsQV5sbDxff/2L7b4LF67y5ZdLbccdOzajWrWb\nGxr37duet99+wXa8YsUK2rVrR8eOHenQoUOpNHpZWTcnwBoMRlas2IHZ7ITF4o2TUz169RqLJIWj\nUARiZ1cVJydPJOnWlbE3tin697//zbp16/j8889LnS8Pg8EAgJeXF/b29vj5+SFJ1m1jTCZTucuJ\niYlh2rRp+Pr6otPp6NatG5s3b7ZtXyQIgiA8Xioc6E2bNu2OE7Pj4uJ477337qtSjwOTyURMi97+\nOgAAIABJREFUTAx169YlLCyM1157Db3+1oTxfyc3hvcOHjxIQUEBO3fuBKyrgGRZLjVfb+fOnaSn\npyPLZiyWfJycjMjyFfIKzzD2kywmfN+e7Ud15Bfd5iMqGwn0SmVo10wmdvuW2iX1qOe9nrNnzjJ2\n7Mc3b5Nl5sz51XbcqlVDunRpbjtu1Kg2r78+tMxHbNu2nQ8++JDCwiK0Wg0ZGflMnjyFAwcOYLHI\n7NwZh8HghMXih1odzsCBr6NQhKJQ+KNUuqNWO9iCurNnz7Jw4ULbtiV/dGOT4CtXrpT6uyKbB7do\n0QKNRsOWLVto2bIljRo1QpZlWrZsib29/d0LuE6pVDJ16lSSk5PJy8tj7dq1pbLMCIIgCI+XB77q\nNj8/v1zDRI+78ePHM3XqVE6ePMnp06eZNWsWgwcPfuDJ3x8n48aNA+Dnn3+mXbt2LF++HI1Gw4gR\nI9iyZQuXL1/EYsnHYkkjPNwFZ+cU4BiSdIbQUBW74yQaPhfAnJWepcr1cDHRPiKPCf9I5Yd3LjG5\nxwwaGHT4pAZgPN2eOR+NRkKmefPmeHu7s3jxOltQ2aBBKJMm3eyh8/GpwtixA8r1fhYv/gWLBUaM\neJGdO3fTrl0vZNmLX389DNShZ8+XsbMLRaHwQaFwRpKUZc5f/e677wgPD2fo0KH07duX+vXrc/78\nedv1oUOtgeb06dNxcXFhxowZpc6XR2BgIAsXLkSr1bJ7924uX75MrVq1WLhwYbnLEARBEJ485Voe\ne/z4cdtqPLD2xpQ1HJSdnc0333xD7dq1H1wNH0EZGRl88803SJLEr7/+ipOTE7169WLFihWcOnXq\nNnlIn2zXrl0jIiKCpUuX8uabb5KdnUH9+rX45JP3qFvXGYtFiVKZiyxns3z5L6xZsxajsYTIyEgG\n/d9Y3plXk+9+r1KqzB4tcpg1PhFj/lnCwgIByM8vxH/Qh4wb14716zdw6tQJiouhT59niI6ORpIk\nNmz40laGnZ2agQPLN7/swoUkXF11uLm5AAr0eg0mkxfe3i2RpPrUrt2Zf/97FcHBuSgU5eslS0hI\nYNSoUZjNZrp168aFCxdISEhg6NChtry+PXv2ZM6cObz66qvk5eXh5OTEZ599RnR0dLmecUP//v1p\n0aIFBw4cwNHRkVatWqHVaitUhiAIgvBkKVegt2LFCttwrCRJzJ07l7lz55Z5r5ubG4sWLXpwNXwE\npaenA+Dn50fv3r2RJIk6deoQGxtLamrqYxvoFRQUsGvXLoxGI5GRkXh5ed323kuXLmEwGAgNDQVM\n6PWZKJVGnnmmGXXrzkKS9NSuXev6NiaZ3Fg8+u233/Ltt/Ns5Rw4G8TkFYEUGm8GeTp7PbMnJjK0\nWz4gU6XKcOLiluLrWwWdzpGgIH+GDHmR559/npSUFBwcXIiIqG/rTYuMrFuu93vhQhJ2dmr8/LwB\nO2TZDYvFE1n2R5IcqFcvmsWLdzBkyFg6dPgvGzduBKB9+/blbtM9e/ZgNpvp0aMHv/32Gzk5Obi5\nubF3715KSkpsOV9HjRrF8OHDSU9Px9PT8563KKpataptSxRBEARBKNf/JiNHjuTpp59GlmWaNWtG\nTEzMLTkpJUnC0dGRoKCgJ34fvYCAAHQ6HUlJSTz33HPodDpiY2NRqVSEhYU97Ordk/j4eLp27Upi\nYiIAOp2OBQsW0KdPHwDOnTtHcnIyLVtGAcW4uhoxm4uR5XgkyUBAgGwL6qAQWeaWveoMBgPff/8D\nABNem86SvX05cigMjDfv6dc2m9PrelDLfQSSVA+Q6NOnLYmJ1/D1tQaDsbELbduOhISElPs9XrqU\nTFGRgbCwmsiyFgcHf1Qq5+uBnZaaNUtnmnj11Vc5dOgQv/zyC7/99hsAL7zwQoVyOTs4WPfzu3jx\nIvn5+cTHxwPW+Xd//neiUqnw9fUtd9mCIAiCcDflish8fX1t/wFt27aNsLCwO/b2POkcHByYP38+\nzz77bKk5UJ9//jk+Pj4PsWb3xmKx0LdvXxITEwkNDcXFxYUTJ04wYcJLtGnTEFdXDdWrmwkIcEaS\n4gCZm9uq3bqFya3lw7kkDVv2K7nETPKVzRg5tykG482Pn4M6jx/ezaB/+xw+94zCaLw5NWD+/Cml\nyivv3nJJSakkJaUTGVkfWXbE1TUEnU4L+CFJKnx87rwfpEqlYunSpUycOJGLFy8SEhJCREREhfaR\n7Nq1K9WqVSMuLs62KAVg+PDh5X4fgiAIgnCvKtz11qZNm8qox2NnwIABBAUFsWLFCsxmM9HR0bRq\n1ephV+uO/riBb35+PseOHaNFixakpFyloCCD8HB/Dh5cjUYj8+KLg4iPP0FCwhqaN2/O9RHGcinS\nq9gT78vC/1Ul9rQDe46pKTZen9OmamD9+w+9eI7FP/PpiBT6t28HwIQJg+/pPaWnZ3Po0Gm6dGmN\nLDvi7u6BTqcGfJAkBa6uFd/oW5IkoqKiiIqKqvBrwbrieOPGjQwZMoTY2FjUajUjRoxg1qxZ91Se\nIAiCIFTEXQO9YcOGIUkS3377LUqlkmHDht21UEmS+O677x5IBR9lERERREREPOxqlMlisZCammrr\niS0sLGTVqlUMHNgfKEKjKSAwUI0sn8bB4Rq+vtkoFLnk5JzG2dmZtLRkTCZjuVdQl5QYUanU/LjW\ng1dmdaOw5NbEyn+msSRQ1fQWr4/0ZMTzo8v1HKPRhFpt/dgWFBSxdu0ennmmO+CEq6sfrVo1AtyQ\nJAkHh0cjg0vt2rU5ePAgxcXF2NnZ3VeWEEEQBEGoiLsGelu3bkWhUGCxWFAqlWzduvWuQ1ciRdpf\nT5Zl9u/fT2Rk5PVjC4cP76Nr11ZIkgF7ez39+9dBkk4AMnZ24O+vAopwc3Pmqaeas2vXbnr16nU9\nt7GR6tWrUa9evVueZTCUkJ6ejb+/daPhBQtWs2xdAemOU4k9XfbGum5OBqLq6mkSVoSPUwLpF5ej\nVWYQFdWG1q1b3/Z9FRQU4eRknedmNJr4z382MWhQHxQKZxwcHOnduzGSZN2vTqGAR3lnn4rsZycI\ngiAID8JdA71Lly7d8Vj462RnZ+Pi4mKb27V8+XK6d++ORqMA9Dg6GjCZLqBUGlEoiomOro4k3Uzn\ndacpYdOnT2fq1Kns2LGTkhIjYWG1mTHjIzQaDXl5BcTHXyQqyhr0bd9+iI8++pFt2+aSnK5m+dEh\nrEusUao8L5cChnYvpGlYIU3DigjwKfnD4gxnoOye4ZycfHQ6B5RKJbIM69fvJzq6C1qtO0qlI88+\n2whJUtt+majIkLIgCIIg/N082ctjHwG5ubkkJCTg7u5OUFBQhXo7jx8/TnBwMMXFxWzbto0jRw7x\n/PMDCAryA/R07hyERnMGSTIhSVCvnhOQc0/1dHZ25p2ps/H+zYmLSTKm/NNczgrBwVlPekoGgwa9\nw8WL1pWnzZrVobDYwscLvfhggS8FxTeHIjV2Fl7oHMewridp0qjWXZ+blZWLg4MWrVaDLMPBg6eJ\niGiGq2tVwIF+/RoCt6YNEwRBEATh7ioc6KWmppKcnEyjRo1s506fPs1nn31GTk4OAwcOtG3J8XeV\nWyBzKQUWLd/N7LmrKJHdoWA/PVrI/Oc/S2xbbmRkZODk5GTb1HbTpk3UrVsXb28PQI+dXSHx8ZuZ\nOvV1cnJSsVgMbN/+OR999BGtWrXE2RnActt6lNeR0wqGvZNLQlYr9CU3uv2C+WGH9StP13AsAUGM\nmOFN3SAjzo7u5ATs5u05pTfj7dsmm5njrlKcc/sUeZmZOajVKpydnZBlOHv2GtWrB+Pt7Q840rFj\nI0ASgZ0gCIIgPAAVDvTGjh1LWloaO3ZYo4CsrCxat25NTk4O9vb2LF++nFWrVvH0008/8Mo+ilbt\nlNlxFC6nwMUUuJQC2fnWa7IcCVUjkSRrM/8eP5/Bw95lxZKZgMz586cICPDBy8sZMPDUUz5otalI\nUgogExysoE+f0Vy7lkLt2rVwdHTk0KHDvPPOJH777TdbblmAkpISUlJS0Ol0uLu7l1lXo9FITk4u\nbm6uDB48hWfHfsqcVf5s2H/nhRPpOWqgAd+tLvt6nRrFfD4hiQ5NrG88/g+dillZuZjNFjw93ZBl\nSEkpQKfzxMmpOuBIs2aNATGvUxAEQRAqQ4UDvb179zJ27Fjb8aJFi8jOzubIkSPUqlWLDh06MHPm\nzL9FoLd8m8yAyTePZf1lUGiR7KyLFMjfB2ofsA+2Hrv14LdL/ZgyL4NJQ6/SrJkDkpQH5AHg+Kd1\nDNbe0xRcXJz58ccFqFRKBg8ezJkzZzlz5gzNmjUDYO/efUyePJmcHGuE1a1bVyZPnoxarb4+102m\nceP+wFVQKCl2epFL+n+zfFLoLe8polYh3ZrnceGqhlOXtZy+rKXYUPbkPledifeGp/BSn3Ru7P2b\nk5NPSkomvr4eyLJEXp4Fk0mDh0cA4ESdOo1FUCcIgiAIf5EKB3qZmZmldu///fffad26NXXrWtNO\nDRw4kHfffffB1fARkpmZiSzLVKlizdAQM/sQcqEKyfH63nCSEiQFGjsZd4cMiikm0DeBiAgXflzr\ngfl6APjhAli62YkvX02kS2T+bZ+n1WqxoCalqCn//NSF9DxndlydgUFtYtKCSJx+daGg0MChIyGY\nzctQOWgxmcyc3QKfbVRQM8gPN1dnMjOzOMNClEqwaGpjMnmU+s5LkkzvVrn8c2AqLeoXlspoYbHA\n5Wt2nLqkZc+RIn5Zc57UbB0u6lO80j2RoZ27c/FiNiEh1ZFlCYNBjV6vw2QKQJbrEBBgJwI7QRAE\nQXhIKhzoubu7k5KSAkBRURG7d+9m6tSptuuSJKHX6x9cDf9iJpPJlprq3LlzFBYWUr9+fcBEbm4K\nslyCu3sJhxNkTqQ2AAclapWFeW9dIaSagUCfLLzdE7l48TzPPvssxosm0oz+1DZ6c1H6N0UK68a7\n569q6TYxhH90yOLT8Un4VrFmgpBlaxaJDfud2XggiHiHbIwWBxJ+u1HDvqCErUf/WOtOoMQ6Xe9G\n55sCTl4BrgA4gUP1W3JY2CmLGd03n/H906jpV1JmeygUUKNqCe6O6cyO+QcOqRn46sHBAZYvscdB\nLdOyZTcslpqAI15eary9NZSUgEKhua/vhSAIgiAI96fCgV7Lli35+uuvCQsLY/369RgMBnr27Gm7\nnpCQgJ+f3wOt5F8lISGBtLRrtGgRAejx9jZfT1l1AjBRo8aNfK4pzF1V3Tb3rn+7bIZ2yypVVlBQ\nEB9++CHTpk0jKSkJO5IY0+Fdqjf9hne/CyAn3/rapVvcWbfPhdcGp3I1Xc3GA85cTK7cAMnDKRNt\n9ocM7ZDKBxMm3vFes9nMoUOnSE4+R15eIfXqRTFq1JtkZubzwgsv88EHS0lM/KRS6ysIgiAIwr2p\ncKA3Y8YMOnfuTL9+/QBr4vewsDDAGhQsX76c6OjoB1vLv4DFcongYDOhoTogAUkCne7G1dJ9YTn5\nSpZscrMdv9Q3vcwy27dvT2RkJFeuJOLq6nJ9yDuX/h3ief1LPxZt8AAgr1DJu/Oq3rZuQX56/HXH\nKE7bxfiX+6JSypw+fZ7Tp87Rtk1dPp31EWazkerV/MhIT6VYX0zzqEiGD7fuVbdy5QrWrF6Nvb2G\n2qHVuBC3BLO5hDYtPyzzefv2naBx4zDUajWS5IxW60dmZiYJCXaEhYXTokVvkpOTycrKRa83llmG\nIAiCIAgPX4UDvaCgIBISEoiPj8fZ2ZnAwEDbtaKiIr766isaNGjwIOv4l1AoMst970/r3SnSW/eO\nqx9cxFP1Cm97r6OjI2FhtUud83Y38dO7l3m+eyZjZlbnTGLpbUqc7M3Uq57ItYQlbFjak2B/Axcu\npPLLL5cZ3DnbelMHD8AaKPo7Nmf69OnkXDaiAto1ieCTD6PR6QoAiApvA3nr+N//tnL2+pDvkCH/\nR6dOnQA4ejSBmjX90Ol0yLIDbm5BWCw1sKYSU1G/fm0KCx3JysplwYIFlJSUcOTIEQCaN29e7nYT\nBEEQBOGvdU8bJqtUquvz1krT6XT06tXrviv1KJNl+Oa/nrbj0b0zKO9aA1mWbQsTzp1L5OsZ/2Zi\n1/p88L0jWabWFGcc4pPJNRkzJIQSQyGLFuUT7G8AoGZNf9588/kyy42OjqZ58+acO3cOZ2dnQkJC\nbNkzAOzs7Jg1axZxcXGkpaVhNKpo3LgeoMBiscfFpQYKRXXAC0lSUatW7Vue0bx5c2JiYnj33XdZ\ntGgRAIGBgcybN698b14QBEEQhL/cPQV6RqORefPmsWbNGltKtMDAQHr06MHw4cNRP8oJR+/TtsNO\nJFyx9sDpHMw82znrtvdmZubg4eFq+zoiYggXL/6GJEn4+XmyevVOzp/fShUF+Gk+IVUy8PMcBV2a\nLyAsLIzRo58pd73c3Nxo2rRpmdcuXUpGkiTq1q2HLNuTnFyInZ0nslwVSVJTo0b5ItUpU6bQpUsX\nDhw4gIuLCz179sTF5c578AmCIAiC8PDcIftp2bKzs4mMjGTcuHEcPnwYDw8PPDw8OHz4MGPGjCEq\nKors7OzKqOsj4Y+9eUO6ZqJzvJmZIjY2HrPZOp/PZDIRGNiT3Fzr8KmHhysWi4VLl5IBsLfX0r17\nTSQJ3nzzDXbv3sWzz0ZjNltYt27dfdXx2rUMzpy5jCyDxaLBwcEPB4dQZLkukhSGv39TXF0DUSgq\nvvVJs2bNGDduHEOGDBFBniAIgiA84ioc6L399tvExcXxww8/cPXqVXbs2MGOHTtITk5mwYIFxMXF\nMWnSpMqoa4V8/fXX1KxZE3t7e5o0acKuXbvuu8yr6WpW7ryZjSLcfQM5OTf3wRs06B1On74EWIe3\nW7duxNmzV2zXT51aTo0aN1cka7USkgR+fn7Xe/ms1wyGsrc6uZ2cnHxOnDiHLIMsq9FofHB0DEGW\nw5GkOnh5NcbTMxSFQiP2tBMEQRCEv5EKB3qrVq1i3LhxPPfcc6XmgUmSxJAhQxg7diwrV658oJWs\nqKVLlzJhwgQmT57M0aNHeeqpp+jWrRtJSUn3Ve74D7Ixm62BUptG+az4+St27z5mu96/f0cyMm7m\n/1qz5guaNAm3HTs62pcqr1kz61DrO++8wyuvTOD7778vdf529HoDR46cvh7YKVCpPHBwqIEs1wLq\n4upaHz+/eigU9iKwEwRBEIS/sQoHejk5OQQFBd32elBQkC0V18Py2WefMWzYMIYNG0atWrWYPXs2\nvr6+fPPNNxUqZ/78lWzfHguA0QQbjtSxXXupTzpDhkSj1drZzn344VjatIkod/mjRo2iefMo8vML\n2LVrFyaTmaFDh9C+fftS91ksFg4dOgWALEsolS6oVL7IcjBQH0fHugQFNUOhcEKSFCK4EwRBEAQB\nuIfFGMHBwaxatYoxY8bcElDIsszKlSsJDg5+YBWsKKPRyKFDh3j99ddLne/cuTN79uy542vnzVuB\nQiExfHhvAFJTM0lIuEzbtk34bacrRSbrdiY+HkZ6t87FTn1/+Xy1Wi2zZ8/m2LHjZGSkExhYg5AQ\na9udPn2JmjX9ri9ssUeh8KCkpBoqlSsqlZp69ercuXBBEARBEP72KhzojR07ljFjxtC1a1deeeUV\nQkNDAWtWidmzZ7N169YK95w9SBkZGZjNZry9vUud9/b2ZsuWLbd9XXx8PFlZGWzdepjmza3vqUmT\nIHJyCoiPj+eTRR1s9/ZufopzZ08+sDprNHYolfbk5uYTHx+PJKmIj08nL88eOzs3zGaQZU+OH7fl\nNHssxMbGPuwqPLFE21Ye0baVR7Rt5RDtWnkeh7YNCQm54/UKB3qjR48mIyOD999/n82bN9vOy7KM\nnZ0dMTExjBw5suI1fQS0adOQBg1u9kZWq+ZFtWpenE9xZv9pXwCUCgvPtDp3388qKCgGwMnJHpDI\nz5dRq12ws/PFZNISEGD9xplMAPJ9P08QBEEQhL+fe9pHb/LkyYwePZrNmzdz+fJlAAICAujUqRMe\nHh4PtIIVVaVKFZRKJampqaXOp6am4uPjc9vXhYeH3/ba3I3+tq97tsyjfcvACtfLZDKh15fg5OSA\nLMOpU5exs3OjZs06gDNhYU/OitgbvwE1adLkIdfkySPatvKItq08om0rh2jXyvM4tW1ubu4dr99T\noAdw/PhxDhw4YNswOTU1FS8vr1sWEvzV1Go1ERERbNq0yZaPF2DTpk3079+/wuUVFitYsPZm8Hq7\nvLZlMRpNqNXWJr58+RqZmQaaNGmONbBrCIiFE4IgCIIgVJ4KB3qFhYX84x//YN26dciyjJubGwAr\nV67kiy++oEuXLixbtgwnJ6cHXtnymjhxIkOHDqVp06a0aNGCb775hpSUFEaNGlXhspZsciOv0JrX\nNqSanvYR+Xd5hVVGRg5798bRvXt3QEeNGuHUrKkVgZ0gCEIlsVgslJRUbB/Sx1lAQAAAer3+Idfk\nyfMota2dnV2p7ewqqsKB3quvvsratWuZMmUK48ePtw3VZmZm8sUXX/D+++/z2muvMWfOnHuu1P0a\nMGAAWVlZfPDBB6SkpFC3bl3WrVtHtWrVKlSOLMPXf8pre7u2LikxsmLFdvr37wa44OYWSPfurZEk\nlQjuBEEQKpksyxgMBrTav88v1Fqt9mFX4Yn1qLStLMvo9fr7+lxLsixXaKa/u7s7/fv3Z+7cuWVe\nHzlyJMuXLycr6/Y5YB8VfxzXdnG5dYHFvjgHnhpVGwB7jYWklSdwczbbrm/cuI9WrRqh0bgBzhQV\nqXB09ESS7j3yfhI8TnMbHjeibSuPaNvK81e0rcFgQKVSoVQqK+0ZgvAwmM1mTCYTGo2mzOulY5lb\nU5NWOCKxWCw0bNjwttcbNmxIBWPHR9Y3K2725g3slMWVi6fIyspDlhVYLK7Ur98WlaoBklQbhcIP\nJyfvv32QJwiC8DDIsiyCPOGJpFQq7yuuqnBUEh0dzerVq297ffXq1URHR99zhR4VsgzGokTU8jUA\nRvfOxc2tJmp1KFAfSaqJj08d1GrHv80wgSAIgiAIj5cKz9H7//buPSqqcv0D+HcPyn0YQBmQmwph\nmpqZKCqKoALiyUtFKiho3vMIpr9M86RJCqh5OeYV9XjPW5aZxwuXFl5RQ1OOWgqpaWbgDQQUEJn3\n94eLqXEAUQZGhu9nrVnLefe79zz7WSM8vO9+954+fToGDRqEt956C+PHj1c/BSMjIwNLly7FzZs3\nsWDBAty6dUtjP6VSqZuIq1Fm5h08evQYLi4OAIww54N8TAu/i5O/2sCzuTskSX9P/CAiIiJ6Xs9d\n6LVs+eTRW+fOncP+/fs1tpUOLbZq1Uprv5KSEq22l4kQMkiSNYD6EMIDkmQBFxcJkiShVQt9R0dE\nRET0/J670JsxY4aBTlW+DqXyr/vapaWlYd68eepVu5999pnebwZNRERE9Dyeu9CbOXNmNYShf5L0\n10W8p06dgo+PDwoKnjymLDk5GfHx8fjxxx/LXNFCRERUl3Ts2BGPHj3CTz/9pO9Q6Bm4RLQM06dP\nR0FBAd5++218//33aNGiBdLT08u9pQwREVF1kMlkz3wZGRlh48aNNRqXYc7sGaYXfgSaISt9rNu/\n/vUvtGvXDpcuXcLkyZPV7URERDVh8+bNGu/j4uJw8uRJrFu3TuOWG507d67p0KiWYKFXBg8PD1y8\neBHTpk3D4MGDsWLFCgBQrzAmIiKqCaGhoRrvExMTkZqaipCQkErtX1JSApVKhfr161dHeFQLcOq2\nDLGxsbCyskJCQgKGDh2KK1euoE2bNi/0rFwiIqKacOnSJchkMnz55Zf497//jVdeeQVmZmY4c+YM\ngCe/27y9vWFnZwczMzO88cYb5U757tu3D76+vrCysoKVlRU6dOiATZs2Vfj5SUlJsLS0xIABA176\nO23UJRzRK0PLli1x6tQpLF68GH/++SdatmyJyZMnw8LCQt+hERERVWjVqlUoKirC6NGjYW5uDju7\nJ095WrRoEQYMGIDBgwejpKQEu3btwrBhwwAA4eHh6v1Xr16NsWPHonXr1pg2bRqsra2RlpaGffv2\nISwsrMzP3Lt3L4KDgzFgwACsX7+e1/C9RFjolcPDwwNLly7VdxhERFQNJEnSuMZN1+/16Y8//sDl\ny5dha2ur0X79+nWYmpqq30dERMDX1xfz589XF3rZ2dmYOHEivL298cMPP1Rqyvebb75BaGgo3n//\nfaxcuVK3J0NVxqlbIiIiAzJgwACtIg+Aush7/PgxsrOzcffuXfj6+uLnn3/Go0ePADyZsi0oKMAn\nn3xSqSJvy5YtGDRoEMaNG8ci7yXFET0iIqpznh590/V7fXJzcyuz/euvv8acOXPwv//9T+MaOkmS\nkJubi4YNG+Ly5csA/noKVkXS09MRHh6O0NBQLFq0SDfBk85xRI+IiMiAmJmZabX98MMPGDhwIGxt\nbbF69Wrs378fSUlJGD9+PABApVI99+c4OzujU6dO2LNnD2+c/BLjiB4REZGB27lzJxQKBeLj4yGT\n/TXGs3fvXo1+7u7uEELg/PnzcHV1rfCY5ubm6tW5gYGBOHz4MFq04MPhXzYc0SMiIjJwRkZGkCQJ\njx8/Vrfdvn1b65YpvXv3hrm5OWJiYtTX7VVELpcjPj4eSqUSPXr0wJUrV3QeO1UNCz0iIiID16dP\nH+Tk5CAgIABxcXGIjo5Gu3bt4OLiotHPxsYGCxcuxPHjx9G+fXvMmTMHcXFxGD9+vNbNm0s1bNgQ\nSUlJMDc3R48ePXDjxo2aOCWqJBZ6REREtUhF96iTJKnM7YGBgVizZg2ysrIwceJEbNq0CVOnTsXo\n0aO1+o4ePRrfffcdrKysMHv2bEyZMgWnTp3CW2+9VW4cjRo1QlJSEkpKStCzZ0/cvn27CmdIuiSJ\nl2mpUA27f/+++t8KhUKPkRiWU6dOAQA8PT31HInhYW6rD3NbfWoit4WFhRr3iCMyJBXMGz6zAAAd\n70lEQVR9v59Vy3BEj4iIiMhAsdAjIiIiMlAs9IiIiIgMFAs9IiIiIgPFQo+IiIjIQLHQIyIiIjJQ\nLPSIiIiIDFStKfSys7MRGRmJFi1awNzcHK6urhg3bhzu3bun0S8nJwdhYWGwtraGtbU1wsPDNe4x\nQ0RERFRX1JpC7+bNm7h58ybmz5+P8+fP46uvvsLhw4e1HskSEhKCs2fPIiEhAfHx8fjpp58QHh6u\np6iJiIiI9KeevgOorJYtW2Lnzp3q925ubvjiiy/Qp08f5Ofnw9LSEhcvXkR8fDxSUlLQoUMHAEBc\nXBy6du2KjIwMeHh46Ct8IiIiohpXa0b0ynL//n2YmJjA3NwcAHD8+HHI5XJ07NhR3cfb2xsWFhZI\nSUnRV5hEREREelFrRvSelpOTgxkzZmD06NGQyZ7Uq5mZmbCzs9Pqq1QqkZmZWeHxSp/FSLrDnFYf\n5rb6MLfVpzpz27hx4zr9rFtnZ2f07t0bq1atAgBcvnwZHh4e2Lx5s9YlTlT75OXl4fz582Vue9Zs\npd5H9KZPnw6ZTFbuy8jICIcPH9bY58GDB+jTpw9cXFwwd+5cPUVORERU/TZs2FDu78jIyEgAgEwm\ngyRJFR7n2LFjiIqKQn5+fk2ETS8JvY/oTZw4EWFhYRX2cXV1Vf/7wYMHCAoKgpGREfbs2QNjY2P1\nNgcHB9y+fVtr/1u3bsHBwaHCz/D09HzOyKk8pX+1M6e6x9xWH+a2+tREbgsLC6vt2C8DSZIQFRUF\nNzc3jfZXX30VwJMRPCMjowqPcfToUXz++ecYNWoULC0tqy1W0j25XF7u/59n3VlE74Wera0tbG1t\nK9U3Pz8fQUFBkCQJ+/btU1+bV6pTp07Iz8/HiRMn1NfppaSk4OHDh+jcubPOYyciIqopAQEB6oWG\nT6tfv/4z9xdC6DokAMDDhw+1fh/Ty0PvU7eVlZ+fD39/f+Tk5GDdunXIy8tDVlYWsrKyUFxcDABo\n3rw5AgMDMWbMGJw4cQLHjx/H2LFj0adPH664JSIig+Xs7IzRo0eXu3369OmYNm2aum/ppVF/X6i4\nf/9+dOvWDZaWlrCyskLv3r1x7tw5jeMMGTIEcrkcV69exVtvvQWFQoH+/ftXz0mRTuh9RK+yTp8+\njR9//BEA0KxZMwBP/jqRJAnJycnw8fEBAGzduhURERHo1asXAKBfv35YsmSJfoImIiLSkfv37+Pu\n3bsabQ0aNACAZ16fN2DAAPz666/YsWMHli5dCmtrawB/Tf1u2rQJw4YNQ69evTB37lwUFhaqb092\n+vRpuLu7qz+npKQEAQEB8Pb2xvz58ys1mkj6U2sKvW7duqGkpOSZ/RQKBTZu3FgDERERUW018z8C\nn6+tnmPPGA7MHFFx4fW8hBAIDAzUaJMkCXl5eZWaNm3dujXeeOMN7NixA/3794ejo6N6W35+PiIi\nIjB69GisWLFC3T58+HA0a9YMs2bNwvr169XtRUVFCA4ORmxsbNVPjKpdrSn0iIiI6ipJkrBkyRI0\nb95co93MzKzKxz5w4ADy8vIwaNAgjRFDIQS8vb2RnJystc8HH3xQ5c+lmsFCj4iIqBbw9PQsdzFG\nVWRkZEAIAT8/P61tkiTBxMREo61evXoad8OglxsLPSIiqnNmjpAwc4S+o3g5qFQqSJKEzZs3w97e\nXmt76UMJSj1d+NHLjYUeERFRHVDego3ShRZ2dnbo3r17TYZENaDW3F6FiIiIXpyFhQUAIDs7W6M9\nKCgIlpaWiImJwePHj7X2u3PnTo3ER9WDI3pEREQvOV3c7NjT0xNCCEyZMgUDBw6EsbEx/P39YWtr\nixUrVmDo0KFo27YtQkJCoFQqce3aNRw4cABt27ZVP0OXah8WekRERC+5Z90nT5IkrT5Pv/fy8kJ0\ndDRWrlyJ+Ph4qFQqHDlyBJ07d0ZoaCicnZ0xZ84czJ8/H0VFRXByckKXLl0watSo54qFXi6SqK5n\notQCf38+nEKh0GMkhoXPDK0+zG31YW6rT00969bU1LTajk+kTxV9v59Vy/AaPSIiIiIDxUKPiIiI\nyECx0CMiIiIyUCz0iIiIiAwUCz0iIiIiA8VCj4iIiMhAsdAjIiIiMlAs9IiIiIgMFAs9IiIiIgPF\nQo+IiIjIQLHQIyIiIjJQLPSIiIiIDBQLPSIiIiIDxUKPiIjoJbZhwwbIZDLIZDIcO3aszD6vvPIK\nZDIZunfvXsPR0d8VFBQgKioKhw8f1ncoaiz0iIiIagEzMzNs2bJFq/3kyZO4cuUKzMzM9BAV/d3D\nhw8RFRWFgwcP6jsUNRZ6REREtUDv3r3x9ddfo6SkRKN9y5YtaNGiBdzd3fUUmW48fPhQ3yFUmRBC\n3yFoYaFHRET0kpMkCSEhIbh37x7i4+PV7SqVCtu3b0doaGiZRcaSJUvw+uuvw8zMDPb29hg5ciTu\n3r2r0WfPnj3o27cvXFxcYGpqiiZNmuDjjz9GUVGRRr9bt25h5MiRcHV1hampKRwcHNC7d2/88ssv\n6j4ymQyff/65VhxNmjTB8OHD1e9Lp6OTk5MRGRkJBwcHyOVy9fbc3FxMmjQJjRs3homJCdzd3TF7\n9myoVCp1n2vXrkEmk2HevHlYsWIF3N3dYWFhAX9/f/z+++8AgJiYGLi6usLc3Bz9+vXDvXv3tGJL\nSEiAr68v5HI55HI5goKCkJaWptFn2LBhMDMzw82bN9G/f3/I5XIolUpMnjxZnfdr165BqVRCkiTM\nnDlTPd1eet4PHjzARx99BDc3N5iamkKpVMLPzw9Hjx7VikmX6lXr0YmIiGqpzZs3Y9asWcjKykLr\n1q2xfPlytG7dWm/xODs7o0uXLtiyZQt69+4NAEhMTMTt27cRGhqKbdu2afQfO3Ys1q1bh2HDhiEi\nIgK///47vvzyS6SmpiI1NRXGxsYAgHXr1sHU1BQTJkyAQqHAiRMnsGjRIty4cUNjqvjdd9/FhQsX\nEBERgSZNmuD27ds4dOgQ0tPT0aJFiwpjlySpzPaIiAjY2tri008/xf379wEAhYWF8PX1xfXr1/HB\nBx+gcePG+PHHHzFz5kxcv34dq1at0jjG1q1b8ejRI0RERCA7Oxtz585FcHAwevXqhaSkJEyZMgWX\nL1/G4sWLMWnSJKxfv16975YtWxAWFoaAgADMmTMHRUVFWLVqFXx8fJCamopmzZqp4xdCoFevXvDy\n8sKCBQuQlJSEhQsX4pVXXsGYMWNgZ2eHlStXYuzYsXjnnXfwzjvvAIB6pHXs2LHYuXMnxo8fj9de\new3Z2dk4efIk0tLS0KVLlwrzVyWiDsvJyVG/SHdSU1NFamqqvsMwSMxt9WFuq09N5LagoECnx9u2\nbZsAoPGytbUV169f1+nnVMb69euFTCYTJ0+eFHFxccLS0lI8fPhQCCFEWFiY6NSpkxBCiFatWgk/\nPz8hhBDHjh0TkiSJzZs3axyrtH316tXqtrJyFxMTI4yMjMSNGzeEEE9+X0qSJBYsWFBhrJIkiaio\nKK32Jk2aiPfff1/jnCRJEp06dRIlJSUafaOjo4WFhYVIT0/XapfJZOr23377TUiSJOzs7ERubq66\n37Rp04QkSaJ169bi8ePH6vbQ0FBhYmIiCgsLhRBCPHjwQNja2oqRI0dqfE5OTo5QKpVi8ODB6rZh\nw4YJmUwmZs+erdH3zTffFO3bt1e/v3PnTrk5sLGxEREREVrtlVHR9/tZtQynbomIiJ6ycOFCAMCM\nGTNw48YNdOvWDffu3cOGDRv0Gtd7772HR48e4bvvvkNhYSF2796NIUOGaPXbsWMH5HI5AgICcPfu\nXfWrWbNmsLe3R3JysrqvqakpgCfXl+Xm5uLu3bvw9vaGSqXCTz/9BODJQhBjY2McPHgQ2dnZOjuf\nUaNGQSbTLEW+/vprdOnSBba2thqx9+jRA0IIrYUOwcHBGtO+Xl5eAICwsDAYGRlptBcXF6undRMS\nEpCTk4OQkBCNzykuLkbXrl01clRq5MiRGu+7du2KK1euVOpcFQoFTp48iZs3b1aqv67U2kIvKCgI\nMpkM3377rUZ7Tk4OwsLCYG1tDWtra4SHh6uHg4mIiCqj9Fquvn37wsnJCd26ddNo1xcbGxsEBgbi\nq6++wvfff4+CggIMHDhQq19GRgby8vJgb28POzs79UupVOLWrVu4deuWuu+FCxfQu3dvWFpawtra\nGnZ2dvD19YUkSerfn8bGxpg7dy4OHDgAe3t7dO3aFbGxsbhx48YLn4skSXBzc9NqT09PR2Jiokbc\ndnZ26NSpEyRJ0ogdAFxcXDTeKxQKAE+mustqLy1UMzIyIIRAz549tXK0a9cu3L59W2P/+vXrw97e\nXqPNxsam0oXvF198gQsXLsDV1RXt27fH9OnTkZ6eXql9q6JWXqM3f/581KtXr8w5/5CQENy4cQMJ\nCQkQQmDEiBEIDw/H7t279RApERHVRu3bt8evv/6KwYMHIzAwEGvXrlW361toaKh6EKNnz55o0KCB\nVh+VSoWGDRti+/btZS7SsLGxAfBk0UPpQoTY2Fi4u7vDzMwMf/zxB4YOHaqx+GHChAno378/du/e\njcTERMyePRsxMTHYu3cvfHx8Koz56ZXCpcq6JYxKpUL37t0xbdq0MmN/ujj8+6hdZdpLj6lSqSBJ\nEjZs2ABHR8cK4wegNfL4vIKDg+Hj44Pdu3cjISEBS5Yswbx587BhwwYMGjSoSseuSK0r9FJTU7Fk\nyRKcPn0aSqVSY9vFixcRHx+PlJQUdOjQAQAQFxeHrl27IiMjAx4eHvoImYiIapmFCxfi9OnTuHTp\nEi5dugQAGDJkSLX+Qq6sfv36wcTEBCkpKeVOJbu7uyMpKQleXl4wNzcv91jJycm4d+8edu3apbEg\nICkpqcz+jRs3RmRkJCIjI3Hz5k20adMG0dHR6kLPxsYGOTk5GvsUFxfjzz//rPT5ubu7Iy8vD35+\nfpXe50W4u7tDCIGGDRvq7EbT5S06KaVUKjFq1CiMGjUKubm58PLywmeffVat36taNXWbl5eHwYMH\nY/Xq1WjYsKHW9uPHj0Mul6Njx47qNm9vb1hYWCAlJaUmQyUiolrMwcEBp06dwpo1axAdHY3vv/8e\nGzdufOYv8ppgZmaGlStX4rPPPsPbb79dZp+BAweipKSkzFudqFQqdTFmZGQEIYTGyJ0QAgsWLNA4\n14KCAhQWFmocx9HREUqlUqOwc3d313oqRFxcXLkjeuXFnpqaiv3792tty8/Px6NHjyp9rIoEBgbC\n2toaMTExKC4u1tp+586d5z5maVH99HSuSqVCbm6uRpuVlRWaNm2qVRjrWq0a0fvggw/Qu3dvBAQE\nlLk9MzMTdnZ2Wu1KpRKZmZkVHvvUqVM6iZH+wpxWH+a2+jC31ac6c9u4cWP1ogJdkcvlGDFihE6P\n+aKensIcPHhwhf27du2Kf/7zn/jiiy+QlpaGwMBAmJiYICMjA9988w1mzZqF8PBweHt7o0GDBggP\nD0dERATq16+PnTt34sGDBxrHS09PR/fu3fHee++hZcuWMDExwd69e3Hx4kUsWLBA3W/kyJEYO3Ys\ngoOD4e/vj7S0NCQkJJT5u7msaVkAmDx5Mvbs2YP+/fsjPDwc7dq1Q0FBAc6dO4dvvvkG586dg6ur\na2VTV+5nyuVyrFy5EkOGDEHbtm0REhICe3t7XL9+HQcOHECrVq3UU/aVZWpqipYtW2Lbtm3w8PBA\ngwYN0LRpU7z66qtwcnLCu+++izZt2sDKygpHjx5FfHw8IiIinnncvLw8nD9/vsxtz5qt1HuhN336\ndERHR5e7XZIkJCcn49q1a0hLS8Pp06drMDoiIiL9q+xI4t/7LVmyBO3atcPKlSvx6aefol69enB1\ndcWgQYPUU5U2NjbYt28f/u///g8zZ86EpaUlgoODMXbsWLz++uvqY7m4uGDIkCH44YcfsHXrVkiS\nhGbNmmHt2rUYOnSout+oUaPw22+/4T//+Q/i4+Ph4+ODxMRE9OjRQ+scyjsnU1NTHDp0CLGxsdix\nYwc2b94MuVwODw8PzJgxAw4ODhrHKOs45R376fYBAwbAyckJMTExWLhwIQoLC+Ho6Ahvb2+MGTPm\nhY65du1aREZG4qOPPkJRURGGDh2KVatWYfz48UhMTMSePXtQXFyMpk2bYsGCBYiMjCzzuLoiifJK\n6hpy7969Zw6Puri4YNy4cdi0aZNGQktKSiCTydC5c2ccPnwY69atw4cffqi1ylYul2Pp0qUaX0YA\nGv1KV+NQ1ZX+1e7p6annSAwPc1t9mNvqUxO5LSws1PmIHtHLoqLv97NqGb2P6Nna2sLW1vaZ/WJi\nYjB58mSNtlatWmHhwoXo27cvAKBTp07Iz8/HiRMn1NfppaSk4OHDh+jcubPugyciIiJ6iem90Kus\nRo0aoVGjRlrtzs7OaNKkCQCgefPmCAwMxJgxYxAXFwchBMaOHYs+ffpwxS0RERHVObVq1e3Typov\n37p1K9q0aYNevXohKCgIbdu2xcaNG/UQHREREZF+1ZoRvbKUtVxboVCwsCMiIiJCLR/RIyIiIqLy\nsdAjIiIiMlAs9IiIyCDo+W5hRNWiqt9rFnpERFTrGRsbo7CwkMUeGRQhBAoLC2FsbPzCx6jVizGI\niIgAQCaTwcTEBEVFRfoOpcbk5eUBePJQANKtlym3JiYmkMlefFyOhR4RERkEmUxWp56OUfrsUz7N\nRfcMKbecuiUiIiIyUCz0iIiIiAwUCz0iIiIiA8VCj4iIiMhAsdAjIiIiMlAs9IiIiIgMlCTq8N0l\n79+/r+8QiIiIiHRCoVBotXFEj4iIiMhAsdAjIiIiMlB1euqWiIiIyJBxRI+IiIjIQLHQIyIiIjJQ\nLPSIiIiIDFSdLfSWL18ONzc3mJmZwdPTE0ePHtV3SLXOkSNH0K9fPzg7O0Mmk2Hjxo1afWbOnAkn\nJyeYm5vDz88PP//8sx4irV1iY2PRoUMHKBQKKJVK9O3bFxcuXNDqx9w+v+XLl6NNmzZQKBRQKBTo\n3Lkz9u3bp9GHea262NhYyGQyREZGarQzty8mKioKMplM4+Xo6KjRh7l9MZmZmRg2bBiUSiXMzMzQ\nqlUrHDlyRKNPbc9tnSz0tm/fjg8//BCffvopzp49i86dOyMoKAg3btzQd2i1Sn5+Plq3bo0vv/wS\n5ubmWtvnzp2LRYsWYdmyZTh16hSUSiX8/f3x4MEDPURbexw+fBjjx4/H8ePHkZycjHr16qFnz57I\nyclR92FuX4yLiwvmzZuHM2fO4PTp0+jevTv69++P8+fPA2BedeHEiRNYvXo12rRpo9HO3FZN8+bN\nkZWVhczMTGRmZuLcuXPqbczti7l//z68vb0hSRL279+PixcvYsmSJVAqleo+BpFbUQd5eXmJMWPG\naLR5eHiIadOm6Smi2s/S0lJs2LBBo61Ro0YiNjZW/b6goEDI5XKxatWqmg6vVsvPzxdGRkbiv//9\nr7qNudUdW1tbdd6Y16rJyckR7u7u4uDBg8LX11dERESotzG3L27mzJmidevW5W5nbl/MJ598Irp0\n6VJhH0PIbZ0b0SsuLsbp06fh7++v0R4QEICUlBQ9RWV4rl69iszMTI08m5qawsfHh3l+Trm5uVCp\nVLCxsQHA3OqKSqXCtm3b8ODBA3h7ezOvOjB69GgMGDAA3bp102hnbqvuypUrcHJygpubG0JCQnD1\n6lUAzG1V7N69G15eXhg0aBDs7e3Rtm1bLFu2TL3dUHJb5wq9O3fuoKSkBPb29hrt9vb2yMzM1FNU\nhiczMxOSJDHPOjBhwgS8+eab6NSpEwDmtqrOnz8PuVwOExMTjBs3Drt27cJrr73GvFbR6tWrceXK\nFcyePVtrG3NbNR07dsT69esRHx+PNWvWIDMzE97e3sjOzmZuq+DKlStYvnw53N3dkZCQgA8//BBT\np07F8uXLARjO97aevgMgovJNmjQJKSkpOHbsGCRJ0nc4BqF58+ZIS0vD/fv3sXPnToSHh+PQoUP6\nDqtWS09Px7/+9S8cO3YMMlmdGz+odoGBgRrvO3bsiKZNm2LDhg3w8vLSU1S1n0qlQocOHRAdHQ0A\naNOmDdLT07Fs2TKMGzdOz9HpTp37H9mwYUMYGRkhKytLoz0rKwsODg56isrwODg4QAjBPFfBxIkT\nsX37diQnJ6Nx48bqdua2aurVqwc3Nze0bdsW0dHReOONN7Bo0SLmtQqOHz+Ou3fv4rXXXkP9+vVR\nv359HDp0CMuWLYOxsTEaNGjA3OqQubk5WrZsiYyMDH5vq6BRo0Zo0aKFRluLFi1w/fp1AIbzs7bO\nFXr169dHu3btkJiYqNGemJgIb29vPUVleJo2bQoHBweNPBcWFuLIkSPMcyVMmDBBXeR5eHhobGNu\ndUulUqGoqIh5rYK3334b586dQ1pamvrl6emJkJAQpKWloVmzZsytDhUWFuLixYtwdHTk97YKvL29\ncenSJY22S5cuqf+wNpjc6nMliL5s375dmJiYiDVr1ohffvlFREZGCrlcLq5fv67v0GqV/Px8cfbs\nWXHmzBlhbm4uZs2aJc6ePavO49y5c4W1tbX49ttvxblz58TAgQOFk5OTyM/P13PkL7dx48YJKysr\nkZycLDIzM9Wvv+eNuX0xU6dOFUeOHBG//fabOHfunJg6daowMjIS8fHxQgjmVZeeXnXL3L64jz76\nSBw6dEhcvXpVnDhxQvzjH/8QCoWCP2urKDU1VRgbG4vo6Gjx66+/ih07dgiFQiFWrFih7mMIua2T\nhZ4QQqxYsUI0bdpUmJqaCk9PT3H06FF9h1TrHDx4UEiSJGQymcbr/fffV/eJiooSjo6OwszMTPj6\n+ooLFy7oMeLaoaycymQyERUVpdGPuX1+w4YNE02aNBGmpqbC3t5e+Pv7i8TERI0+zKtu+Pn5aRR6\nQjC3L2rQoEHCyclJmJiYCGdnZxEcHCx++eUXjT7M7YvZt2+faNOmjTAzMxOvvvqqWLp0qVaf2p5b\nSQgh9D2qSERERES6V+eu0SMiIiKqK1joERERERkoFnpEREREBoqFHhEREZGBYqFHREREZKBY6BER\nEREZKBZ6RERERAaKhR4R0XPy9fWFn5+fvsMgInomFnpEROU4fvw4oqKikJubq9EuSRJkMv74JKKX\nH5+MQURUjgULFuDjjz/G1atX4erqqm5//PgxAKBevXr6Co2IqFL4U4qIqBzl/R3MAo+IagvOPRAR\nlSEqKgoff/wxAKBJkyaQyWQwMjLC4cOH4efnh+7du6v7Xrt2DTKZDPPmzcOKFSvg7u4OCwsL+Pv7\n4/fffwcAxMTEwNXVFebm5ujXrx/u3bun9ZkJCQnw9fWFXC6HXC5HUFAQ0tLSauaEicgg8c9SIqIy\nvPvuu0hPT8e2bduwePFiNGjQAJIkoXnz5uXus3XrVjx69AgRERHIzs7G3LlzERwcjF69eiEpKQlT\npkzB5cuXsXjxYkyaNAnr169X77tlyxaEhYUhICAAc+bMQVFREVatWgUfHx+kpqaiWbNmNXDWRGRo\nWOgREZWhVatWePPNN7Ft2zb069dP4xq98vzxxx+4fPky5HI5gCfX8sXGxqKgoABnzpyBkZERACAr\nKwvbtm1DXFwcTExM8PDhQ0RERGD48OFYvXq1+ngjRoxAs2bN8Pnnn2Pz5s3Vc6JEZNA4dUtEpCPB\nwcHqIg8AvLy8AABhYWHqIq+0vbi4WD2tm5CQgJycHISEhODu3bvqV3FxMbp27Yrk5OSaPREiMhgc\n0SMi0hEXFxeN9wqFAgDg7OxcZnt2djYAICMjA0II9OzZU+uYkiRpFIlERM+DhR4RkY6UV5CV1166\nqlelUkGSJGzYsAGOjo7VFh8R1T0s9IiIyiFJUo18jru7O4QQaNiwocZqXiKiquI1ekRE5bCwsADw\n1xRrdQkMDIS1tTViYmJQXFystf3OnTvV+vlEZLg4okdEVA5PT08IITB16lSEhobC2NhYZyNuf78Z\ns1wux8qVKzFkyBC0bdsWISEhsLe3x/Xr13HgwAG0atUKa9eu1cnnElHdwkKPiKgc7dq1w5w5c7B8\n+XIMHz4cKpVKvQL26WldSZLKnOotb/r36fYBAwbAyckJMTExWLhwIQoLC+Ho6Ahvb2+MGTNGR2dE\nRHUNn3VLREREZKB4jR4RERGRgWKhR0RERGSgWOgRERERGSgWekREREQGioUeERERkYFioUdERERk\noFjoERERERkoFnpEREREBoqFHhEREZGB+n+qSyG8iVR+vQAAAABJRU5ErkJggg==\n", + "image/png": 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lojaz9CyVnm/CodNFx70zAj56kf98S/huWgdJvD1UZcYK4/bkL6FTY5X6NcrumiIMCoIg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\noNPFoiiXUNW/GDCgFlrtRVN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ZWTnY2RnDdnZ2Lv37v8W2bYuQJInUtHzc2upR7doAoDE3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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2528,8 +2633,8 @@ } ], "source": [ - "x = np.array([100., 0.]).T\n", - "run(data=data, R=var, Q=.02, P=500., x0=x,\n", + "x = np.array([100., 0.])\n", + "run(track=trk, zs=zs, R=var, Q=.02, P=500., x0=x,\n", " plot_P=False, title='$P=500\\, m^2$');" ] }, @@ -2544,7 +2649,7 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 44, "metadata": { "collapsed": false, "scrolled": false @@ -2554,7 +2659,7 @@ "data": { "image/png": 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GZ+d9Vpa9EyMy4sJw79693Hzzzdm7JI8//jiPP/44GzZs4P/+3/9LY2MjL774\nIn6/H7fbzS233MKvfvUrLBZZpFtMPmf8Z3i37V2aBppQGZpum2fKY4FrAXWFdRRbi1EUhb3RC68W\n0NDaQENrA5u2bQJgTdWaSxaIwXiQU/2naPQ2csZ/Jnvt/Jx8lpUu47qS62R1lKtMcpmY6hSG/uzu\n79rPoZ5DpDIpAGY4ZrCmag2rKldJUShGbMSF4erVq8lkMhfc/+abb15RQEKMh1gqxtun32Zf1z5g\naPm6+UXzWexeTHlu+YieAv5oIbhxzcYLXq/V30qzr5lmXzN9kb7sPp1Gx+yC2Sx2L6bGUSNPII8T\nyWViqltRvoKOYAct/hZSmRT5OfnMcMzgm8u/id00tR+AEBNHZrWLaWcwMchz+54jEA+gVbSsrFjJ\n9WXXY9abr+i8H71LGE6E6Rrs4oz/DM2+ZjwhT/auIIBBa6Aqr4q5zrnUFdZh1Bmv6NpCiOnHpDPx\n0MKHiKf+1KJG8ogYA1IYimnn9ZOvE4gHKLYWc0/dPRRZii77taqqEk1FyagZUukU4WSYzlAnnqCH\n7nA3Da0NdAY7CSVCqKqKioqCgk6jo8hSRE1+DYuLF7PYvZgcfc5VfJdCiGvNQHSA3Z27OeM/Q3+0\nH7vRPjT1pPS6iQ5NXEOkMBTTTjQVBSCRTnCy/ySRZISCnAK0ipZoKkp/tJ9ALEAgFqA/2k9XqIs9\np/bQF+sjczRDMBEkmogSS8dIpBPDzq3TDLWcsRgsFFuLsRvt5JnyyDPlodVo6Y/083bz27zT/A4L\nixdy+4zbpUAUQlxUMp1kS8sWdnfuHtY8vzfSy+unXqfCXoHL6prACMW1RApDMe2sqlxF12AXLb4W\nGnsaGUwMEk6GiSQjJNIJ4qk4iXRi6PfpOKlMinj8T0M1RmO2KTUMDQmbdCZydDmY9WasBiu5xlws\negsFlgI+PefTGLVG0mqaZDpJX6SPjmAH3YPdHOg+AMDdc+6+YKxCiOmtL9LH5sOb6Y30ZkcfHqh/\nAJfVxTO7nyGcDBNLxSY6THENkcJQTAuDiUFafC00+5ppD7YTjoeJpqIMJgbpjfQSiAUIJ8Mk00l0\nGh06jQ6D1oDVaMWit6CL63CanCybtYwKewVluWW4LC7cNjd67dDyaOlMGm/YS0ewg9dPvQ4MtbuZ\nXzR/WCzpTJqXG1/mtO/0sNY4QgjxUZFkhJcOvYQ/5sdpdnJP3T08u+9Zqh3V7PPsI5wMY9KZKLYW\nT3So4hoe08zzAAAgAElEQVQihaG4Jp19CrjF10KLvwVv2Dts30B0gLSaRq/VU2WvwlBgQKfoyJDB\nYXJQZCmiwFxAQU4BTrOTkydOYtKauH3JhYd+tRot+Tn5fNj9IQAaRUNBTsGwYzqDnbx64lW8YS8a\nRcPNVTdfvQ9BCDGlvX7ydfwxPyW2Eqrzqnl237Ns2raJjmAHGTVDhb2CO2beIQ+diDElhaG4ZoTi\nIQ57D3Ok9widwc7sU8CqqhJPx4klYwzEBgjFQ2gUDclMkngqjlajJZ6KM7twNg6TY2guYLSf/mh/\n9tyeLg+eiIcDmQMU5BQwu3A2qytXZxNyMp3ksPcwW1u3EowH0Sga7px5J26bm3QmzYn+E+z17KXZ\n1wwM9StcP2s95fby8f+ghBCTXiqT4ljfMRQU7pt3H3ajnTpnHR92f0hZbhkAKytWjmhlJCEuhxSG\nYkpLZ9Ic6zvG/q79tPhaSKtpIskI4UQYo85IIp2ge7AbX9SXLRQ1ioYCcwFusxtHjgOTzsTOtp3U\nF9VjM9ow6UxoFA1aRYuiKKQyKYxBI8cDx9FpdPRH+9nVvovTA6e5a/ZdHPIe4kD3gew8n1JbKetm\nrSOtpvn9qd9z2HuYcDIMDK2tvKx0GWuq1mSHoIUQ4i9Fk0PdDwB+e/y3DEQHCMaDOEwOzHoz62et\np85ZN8FRimuRFIZiSkqmk+xs38nuzt3Zwi8QD6DX6CkwF5BrzB02hKzX6KnMq2ShayELixdSkFOA\nzWjjUM8hdnfu5p2Wd7ix4kbqnHXnrFrS0NpAy2ALO7w7WD17NVaDlWN9x9jduZvOUCc6zdBfo4Kc\nAlxWF3qtnl8e/mV2eTuAQnMh15Vcx8LihZh0pnH7nIQQU5PNaGNZ6TJ2d+6m1d8KDPUtfHDBg6ys\nWCl5RFw1UhiKKUVVVfZ49vCLxl/QFmjDH/Nj0pkosZVQV1iHXqsnlU7RGmjFarBSnlvOqspV3Fh+\nI4WWwnPOV2GvYN2sdWgUzXlXLVFVlXnOedxYdCNNwSYGogPsat9FWk3jMDmIp+IYjIbsncSPDj9b\nDVbmF81ngWsBbqtbVjQRQozIJ2o/wY3lN+INe7Gb7DjNTskj4qqTwlBMeqqq0j3YTaO3kTeb3mR/\n134ALHoL9a56avJqmJE/g2pHNRa9hZcOvcTM/JnUOGpYP2s9jhwHDa0NrLGsueA1zt4lTGVS9Az2\n0D3YzZnAGVp8Lfhjfg62HqQz0omvwwfq0B3AElsJOfocMmqGRDqRvStZnVdNjaMmu86yEEKMlKqq\nKIqC3WSX5e3EuJLCUExa0WSUgz0H2efZR2+kl0Q6wYHuAxi1Rm6suJF1teuYWTCTXGNu9jUfdHxA\nMjPUcmZtzdpsQm1obRg2RKyqKoF4AG/YS2+4l95wL0/teorOUCexVIxYKkZ/tJ+ewR78MT+JWAKj\n1ojD5GCucy6F5kI0ioay3LJsIViWW4ZWox3vj0kIcQ1IZVLs8+zjRP8JOoOdpNU0VXlV3DX7LmxG\n20SHJ6YRKQzFpBNPxdnaupW9nr2kMilg6O7gAtcCYqkYNoONqrwqQokQ3rCXaDKKTqNDq9GSZ8oj\nkU4QToR5cueTtAXa8Ia97GzfyZtNb+KyuHDkOIgkIyTTyWFNrNOZNPF0HFVVSWaSaBQNJp0Jl8WF\nRqdhhm0G65espyy3DLfNTZGlKDu/UAghRutk/0neOPUG/ph/2PamgSbebn6be+rumaDIxHQk/6qJ\nSeVE3wleP/V6tvHzDMcMlpYsZVbBLLQaLSW2Et5pfodmX3O29ctfSmfStAXbCMaCRFNDRWOlvRKT\nzkQgHsg+FKLT6FBQyKgZMmoGraKlyFKESWfCqDVSYC5giXsJN5TfgL/Zj6IoLJ2zdNw+CyHEtU1V\nVX7f9Ht2d+4GyOaf++bdx8Hug7zd/DbxVHyCoxTTjRSGYtI41nuMzUc2A0MtX9bPXn9OR//lZcuZ\n55xHq7+VzlAnnpCHWCpGOpMmlUmhKAr5OfmU28vJ0eWg1+rJZDI0DTQxM38m0VSUaDJKKBHCF/Wh\n0w6tcKLX6NFpdJTby6nOq2ZG/gxKbaXZOYJ7W/aO++chhLi2bW3dyu7O3WgVLbfW3MrysuV8d9t3\nUVCyxWKNo2aCoxTTjRSGYtL4w+k/ALDYvTj7pPD52Iw26l311Lvqz9mXSCcIxUP0R/vpDfcOzSGM\n9JKjz6E10DrsWEeOA7fNTY2jhuq8airsFdJbUAgxLtoCbWw/sx0FhS/Uf4H2YDvf3fZdNm3bxJ7O\nPTgtTlZWrGRpiYxSiPElhaGYNKwGK/6Yn8aeRgaiA5TaSsnPyUer0Wbn8mXUDOlMeqgATIQIxUME\n48Hs7+PpCw+75JnyKLYW47a6cdvclOeWX3B5OyGEGGuxVIz2QDu+mI/GnkbSmTQrK1YyI38Gbpub\nZDrJzVU3c13pdRTkFPC5eZ+TB9rEuJPCUEwa99Tdw2snX6PZ10yrvzXb1HUkdBodNoONPFMeTouT\nIksRTvPQr1IECiEmQiAWYGvrVg52H8yuwHSs7xjRZBSz3sxp32l6w72oqFTYK1jiXsLtM2/HoDVM\ncORiOpLCUEwa+Tn5fHHhFxlMDOIJeegMdjKYGCSVSWWfTtZqtGgUDXqNHpvRhs1gI9eYm/29SWeS\n3oFCiElBVVX2d+3nzaY3s50OynPLKcgpIJwIc6D7AH2RPuLpOFpFS7Wjmq8s+QoltpKJDl1MY1IY\niknHarAyq2AWswpmTXQoQggxam+ceoM9nj0AzHXOxaQz8anZn8IX9XGo5xA3lN/AgwsexKw347K6\npP2VmBTOP7tfCCGEEKO2v2s/ezx70Gl03Ft3L/fNu4/9XfuJJqNsPrKZtJpmftF8agtqKc0tlaJQ\nTBryJ1EIIYQYQ+lMmrdOvwXAulnr6I/2s7FhI5u2beK99vdw29wscS9h/ez1ExypEOeSwlAIIYQY\nQ72RXmKpGBpFg9PsBGBm/kxWV65mRfkKynLLuLfuXkw60wRHKsS5pDAUQgghxlCuMReD1kAineC5\n/c9lt9cW1HJbzW2sKFshbWjEpCWFobhmqapKNBUd6nP4p36HZ59yTqtp0pk0QLZPYq4xlxJbCS6L\nS5K2EGLUzHozX6j/Ah90fEB/tJ/8nHwq7BUsKl6EWW+e6PCEuCgpDMWUllEzDEQHhlY4CffSG+kl\nGA9mi8G0mh7xObWKlnpXPR+f8XFJ4kKIUanKq6Iqr2qiwxBixKQwFFNGKpOie7CbrlAXXYNddIW6\n8Ia9Fy3+TDrTUJ/DP/U7tBqsGLQGNIome1fwbJ/EgegAncFO+qP9HOg+QDQZ5f76+8fr7QkhhBAT\nTgpDMWmlM2k8IQ8t/hZafC20B9uzja4/Ks+Ul13dxGlxkmfKyxaDI137WFVVfn301xzpPYIv5hur\ntyKEuIapqkpbuI2ekz10DXahqioz82eyqnKVTEsRU44UhmLSUFWVnnAPLb4WWvwtnPGfGbb2sYJC\nkaWIEltJds3jYmsxRp1xTK7vDXv53Ynf0R5sB+CW6lvG5LxCiGuXJ+Thv9r/i55YDyX8ecWSzlAn\nWo2WVZWrJjA6IUZOCkMxoVRVpWewh0ZvI4e9h/HH/MP2F5oLqc6rptpRTVVe1Xnn/DW0NrCmas2o\nr3/ad5q9nr2c6DuBiorVYOUTtZ9gTuGcUZ1TCHHtU1WVne072dKyhZ5YD/3xfh6oeoAKewUHew5m\nl7sTYqqRwlBMiHgqzhH/EY4FjmEK/7mXl81gY0b+jGwxmGvMveS5RloYnr0zedh7mMaeRgLxAAAa\nRcNS91JurblV+osJIS5qV/su3ml+B4D5efM5OHCQ1VWriaVi/O7k7wAoyy2byBCFGBUpDMW4SmVS\n7Dizg/c63qPV2wrADN0M5hXNo76ongp7BYqiXNa5GlobaGhtYNO2TQCsqVpzwQIxmozS6m+lxd9C\ns6952Df5PFMeS9xL+Jj7Y1gN1it6f0KIa19HsCNbFFbaK3nP8x7Pn36eoneKSKvpobWPLS4WuxdP\ncKRCjNyIC8MdO3bwb//2b+zbtw+Px8NPf/pTvvjFLw47ZuPGjTz33HP4fD6uv/56nnnmGebOnTtm\nQYupqcXXwmsnX6M/2g+AO8dNXV4dn7nhM6NaJ/SjheDGNRuH7UukE7QH2mn2NdPib6Er1IWKmt1v\n1puZ55xHvaue8tzyyy5GxbVDcpkYrX2efaioLC9bzh0z72Buai69sV7yTHlEU1Esegufn/95Wf9Y\nTEkj/lM7ODhIfX09GzZsOCeJAjz55JM8/fTTvPDCC8yaNYtNmzaxdu1aTp48icViGZOgxdTTFmjj\nxUMvklEzOM1O1s9ej/eUF+CKk+dNFTcNa2Fz9tePtrHRKlrKcsuocdRQ7aim1FYqTwtOc5LLxGid\nnQvdFmjjP478Bzubd5LMJImmoszMn8ndc+6W0QcxZY34X+Q777yTO++8E4ANGzacs/8HP/gB3/72\nt7n77rsBeOGFFygqKuLll1/m4YcfvsJwxVS1pWULGTVDjaOGB+ofQKvR4sV72a/PqBkGE4OE4iEC\n8UC2obU37KU/2s+Oth3DjldQKLGVDBWCedVU2CtG3LpGXNskl4nRuq70Olr8LXhCHjwhD9F0lDp7\nHffNu4+6wjoZgRBT2pje525paaG7u5u1a9dmt5lMJlatWsWuXbskmU5jZx8iafY18+y+ZymxldA/\n0I9W0YJnqJA7u0xdMpNkMDF4zlJ2Hx0K/igFhUJzYbaFjdvmpsRWIg+QiFGTXCYuZq5zLv/fsv+P\nVn8rOo0Or95LniGPuU6ZZiCmvjEtDLu7u1EUBZfLNWy7y+XC4/GM5aXEKKmqSiqTGve7Z3fMvAOd\nRseB7gN4w168YS+evqE/E60nWy/rHBa9BZtxaAWTjza0dpqdcjdQjCnJZeJSCswFFJgLANjbsXeC\noxFi7EyambF7906Nv1hTIc5wKsyvG35NX6yP/ng/4VSYeCZOIpMgkU6gopKjzcFusGPX23Gb3cy0\nzUSjaK5qXCWUUJRTRH+8n754H4WOwqG7hOE0Kio6RYeCglajxaw1Y9FZMOv+/KtW+dOcwPjQT9KX\nxPOn/42XqfD/P0yNOGtrayc6hKtiKnz2MHXihImPNZwK0xRsoifWQygZwmFwUO+ox2lyDjtuouMc\nCYl1bF1L+WxMC8Pi4uKhHnE9PZSV/bl/U09PD8XFxWN5KfERyUyStnAbbeE2uqPdhJKhix6vKArR\ndJRoNEp3tJsTwRMcHDjI9c7rKTdf3Sd0dRodrhwXrhzXpQ8eJVVVyZAho2ZQUFAUBQ0amfcjLpvk\nMgFD7bUODBzgkO8QKfXPy3H2x/vxRD18vkqePBbXnjH9E11dXU1xcTFvv/02S5YsASAWi7Fjxw6e\neuqpi7526dKlYxnKmDv7jWWyxBlNRjnZf5JjfcdoGmgipaTACqFgCL1Gz/V112fn2zlMDnL0OZh0\nJkw6EwoKwXiQ/mg/3rCX9zvexx/zc0g9RKm7lOvLrh+X9zDSzzSjZrJzDi/0E06GSWfS552P6DA5\ncNvcuK1uFhYvvKzm2aONdaJMlTgBAoHARIdwQZLLJoeJjLU33Muvj/6aHlMPRe4i0pk0n5n7GfJM\nefzkwE8AmLdwHjajTT7Tq2QqxTqZ89lIjbgwDIfDNDU1Dd2VyWRoa2vj4MGD5OfnU15ezje+8Q2e\neOIJZs+eTW1tLd/73vew2Wzcf//9VyP+aSWdSXOi/wT7u/bT7Gsmo2ay+8pzy6lz1hHUBck35rNs\n4bKLnstusmM32alx1LC0ZCm72nexpWULbze/zZzCOdhN9qv9di4qnAjTNdhFz2BPdk5ib6SXVCZ1\n6RcztIqJVtGiopJRh+4e+mI+fDEfR3uPsqNtB/fU3SPL3k1jksvEhYTiIX528GeEEiHyc/K5e87d\nPP/h8ywsXsh77e8BYDfapSWNuCaNuDDcu3cvN998c3ZY7vHHH+fxxx9nw4YNPP/88zz66KPEYjG+\n9rWvZZvCvvXWW9L36woE40H2d+1nn2cfocTQMLFG0VDjqKGusI45hXOwGW0A7O0Z+VwMnUbHqspV\n9Az2cKT3CLs7d7N2xtpLv3CMpDIp2gPtnAmcyfYhDMaD5z3WarBiN9rJNeaSa8zNPoxy9sdqsKLT\n6M6ZL5nOpOmL9NE12MWOMzvoj/az17NXCsNpTHKZOB9VVXnl+CuEEiEq7BWU5Zbx/IfPs2nbJjwh\nD8lMkkp7JXfMvEOmp4hr0ogLw9WrV5PJZC56zGOPPcZjjz026qDEUHJq9beyx7OH433Hs3cHC82F\nXFdyHfWuesx685hec3bhbI70HrlgUTZWMmqGrlAXHw58iCfi4c3Im+fcCTRoDRRbiym2FlNkKcr+\njLYFjVajpchSRE+4h2gqCoDT7LzEq8S1THKZOJ/+aD/NvmaMWiP3zbsPq8HKx4o/RmNPIyW2EgBW\nVa6izlk3wZEKcXXIrNlJRlVVTg2coqG1AU9o6GlbjaJhnnMe15VeR6W98qp9S1XVoXl5V+P8gViA\nE/0naPY10+pvJZaKZdvVlOSV4LK4siuSuG1uCnIKxiwOVVVpD7bT0NpAs68ZgBmOGdxac+uYnF8I\nce3wRX3A0EhGQ2sDPYM9dIY6sRltGLVG1s1aR72rfoKjFOLqkcJwkjhfQWg1WLmu5DoWuxdnh4qv\npng6Dgw1jB4L0WSUI71HaOxp5EzgzLB9+Tn55NpzKTGXsP6G9VgM5x+ea2htyK6HPFKDiUEOew+z\nz7OP3kgvADm6HD4+4+MsKl4kw0BCiHNU5VVRaC6kL9LHXs/Q1ByNouEzcz/D6srV45KLhZhIUhhO\nsAsVhCsrVrLEvWRcGzcf7T0KQIW9YtTnUFWVjmAHez17OdJ7JDtErNPomFUwi9r8Wqod1eSZ8rJP\nnF2oKISRF4aDiUGaBppo7Gmk2decfTr57HDQ8rLlF72eEGJ602v1PLz4YZp9zfhjfgrNhZTby2Ul\nJTFtSGE4gdoD7bzZ9CadoU5g4gpCGBo+afW3otfomV80f9TneP3U6zQNNGW31ThqWOhayJzCORh1\nxss+V0NrAw2tDWzatgmANVVrzlsgxlNxWv2ttPhbaPY14w3/ef1ljaKhNr+WRcWLmF0wG61GO6r3\nJYS49iXSCbxhL1pFS7G1WOYQimlLCsMJEIgFeKf5HRq9jcD4F4TxVJz+aD99kT4GogP4Y352d+7m\nWO8xSnNLefHQi5h0JpxmJ06LkxmOGZdsX/Ne+3tsadlCMpPEpDOxtGQpi92Lyc/JH1WMHy0EN67Z\nmN0eS8XwhDy0+ltp9jXjCXmGte3Ra/RU2CuY65xLnbNuzB/QEUJcW1r9rWxt2Up7sD2bS+xGO1/+\n2JcnvG2XEBNBCsNxlMqk2NW+ix1ndpDMJNFpdNxQfgMrK1Zi0BquyjVVVWUgOkBboI32YDvtgfbs\nfLuzwokwez17UVGpyquiI9gBkL3zp9PoWFG2gpUVK8971+9g90H+cPoPANQX1XP7zNuvuL+XqqqE\nEiFq82vZ2baTrsEuPCEPA9GBYcdpFA3lueXUOGqodlRTllsmKxEIIS4pmozy2snXONJ7BBjKJS6L\nC1/MRyAe4IPOD/j4jI9PcJRCjD/5F3ScNA008cqxV/CGvaTVNDWOGm6quImy3LIxX6M4lo5xqOcQ\nJ/pO0OJvIZKMDNuvVbQUmAsoNBfiMDnYfmY784rmZYs6raIlnAzTG+6lI9jBif4T7GjbQV+kj8/N\n/9w519vftR+ASnsln6j9BDn6nMuKM5FOEE6FOT1wOrtySSAeoC/ShzfsJZaKAXBq4NSw2F1WF5X2\nSqod1VTaK0c0RC2EEP2Rfl44+ALBeBCD1oBZb+avl/41Rp2RV469wsGegzKnUExbUhheJaqq0j3Y\nzWHvYd5sepPD3sPE03HMejO1+bX0Rfp45fgr2eNtBhuVeZXMzJ/J7ILZl11cneWP+Tned5w3O96k\nK9qFO+rO7rMarJTnllNhr6DcXo7b6s7Ot3u/4320Gi3VedVsWLRhWDI82/y5LdDGiwdf5FjfMXxR\nH44cx7BrV9grOBM4w5nAGZ7c+SR5pjycZme20bSiKKQyKdKZNKlMisHEIMF4kJb2FgBKkiXnfU85\nuhxcVhdFlqLs8n5Os1PmCgohRi2eivPLw78kGA9SllvGvXX38oMPfoBRZ+SI9wgHew6iUTTUFcoc\nQzE9SWE4xgaiAzT2NNLobeRk/0lO9J0gno6jUTTMKZjDvKJ5mHQmDFoDGTVDIB4gGA8SSoQ47D3M\nYe9htIqWelc9qypXXXCOnqqqdA12caLvBMf7jtMT7gHAE/GgKArVedXMKZxDbUEtDpPjvK1Zuge7\n+WPzHwFYN2vdBb8hV9gryDPl0RvpxRc7tzC8pfoWCs2F7PHsoWewB3/Mjz/mv+RnpVN0WHQWqvOq\nh61ekp+TT5GlCKvBKi1lhBBjamf7TnojvTjNTirsFfzggx+wadsmWv2tKChU5lWytmYtTos0wBfT\nkxSGY6Q33Mv2M9s57D1MKpPitO80veFenBYnswpm8YX5X6C2oPa8hU5GzTAQHaDZ18zxvuO0+Fo4\n0H2AQz2HWOhayC3Vt2R7Z0WSEQ71HBrWmw+GVgqpza9ldmY25ZZyVi5aedF4BxOD/KLxFyQzyaGn\ndgtnX/DYaDJKX6QPraKlLLfsnP2KorCweCELixeSUTP0R/oZiA6QUTOk1TSqqqLT6NBqtOg0Oix6\nC7nGXA4fOIyiKCxdNPkXSBdCXBvONrm/qfImqvOqcVlcfND5AVV5VSgorKxYyfKy5RMcpRATRwrD\nKzQQHWBry1YOew+johKKh7K9r+YUzuGW6lu4ofyGi84j1CgaCs2FFJoLWVa6jIHoANvPbOdg90E+\n7P6Q433Hs9uP9R3L9ga0GqzMKZzDnMI5VOVVodPo2Bu99FrJiXSClxtfJhAPUJ5bzrpZ6y56/DvN\n76CiUmGvuORDMhpFg9PivKxv23I3UAgx3s7msP889p/ZbS6Li4KcAtbNWke1o3qiQhNiUpDCcJQy\naob3O95na8tWkpkkGjTk6HOIp+KU28spthbz6TmfxmV1jfjc+Tn53D3nbpaVLOPZfc+y7cw2ft/0\ne8pzy5mRP4OZ+TNZ4l7CrIJZI55vl86k2Xx4M56QB4fJwefnf/6iT/Ee7zvOvq596DQ67ph5x4jf\nixBCTCafrP0k/3Xiv2gPtqPX6CnLLWPdrHV8rPhjMn9ZCKQwHJWewR5ePfFqdqWSusI6IskIZwJn\nMOqM3FRxE2uq1ow6yfhjfj7o+CD7tG+xtZjOUCcaRUNNXg1fqP/CqJ5kTmVS/ObobzjtO41Fb+Gh\nhQ9ddBWQtkAbrxwbekDmtprbRlXkjkY8FScQDxCIBbJPKgdiAQLxAJFkhFQmRTKdJJVJoSgKCgoa\nRYMjx4HL4so2p5UehkKIv1RgLuBLH/sSGTUz5h0hhLgWSGE4Qvs8+3jj1Buk1TR2o50bym9gj2cP\nfZE+TDoT99Tdw6yCWSM+r6qqtAfbeb/jfY71Hssu5VaZV8nn5n+OHF0Ovzz8S5r9zbxy7BU+Xffp\nESW1eCrO5iObafY1Y9KZeGDBAxdtPt3ia+EXh39BIp1gftF8ri+9fsTv6WJUVSWcCjMQHyDeFqcn\n3IM37MUf82fb1IxUKBGiLdAGDA1/31N3D7UFtWMZthDiGiFFoRDnJ4XhZUplUuzq3UVwMAjA0pKl\nlOeW8/qp10mkExRZivj8/M+PaqWPzmAn7zS/Q4t/qH2LRtFQX1TP8rLllNj+3MrlwQUP8uKhF2n0\nNqLT6PjU7E9d1jy9SDLCzw/9nM5QJ1aDlQcXPEixtfiCx5/oO8Gvjv6KVCbFQtdC7ppz1xXPBwzF\nQ3hCnuxPe7Cdoy1Hiafj2IN2oskosVSMVCaFiopBa0Cv0WPSmzBpTZh0JoosRZTYSii2FjOrcBaF\nOYUAqKikM2n6In30hHvY3bkbf8zPzvadUhgKMc2lM2nOBM7QEewgGA9SYithrnOu9CkU4gKkMLwM\noXiI1zpewxvzUmGrYF3tOkKJULYP4fyi+Xxq9qdGvHpJf6SfLS1bsp33z7axeXjxw9mnkD+q3F7O\nQwse4mcHf8aH3R9SYa/gY+6PXTL2Fw+9iDfsJc+Ux0MLHqLAXHDeY1VVZfuZ7TS0NqCissS9hHWz\n1o2qKIylYrT4WjjSe4RDPYdoD7QTToaJpWLEUjES6QSRwQg52hx0CR0Wg4VCcyE5+hz0Gv15rxlN\nRTntO81p32k+6PyAW6tvZUX5iux+u8mOVqPN3gnINeaOOG4hxLVBVVWO9B7hj81/xBfzDdt3rPcY\nDyx4YIIiE2Jyk8LwEvoj/fzs4M/wxrxYdVa+vOjLHO49zK72XSgorJ2xlhVlK0ZUPA0mBtnWuo19\nXfvIqBl0Gh3Ly5ZzY/mNPLnzyfMWhWeV28v55KxP8tvjv+WNU29QmltKkaXovMd6w15ebnyZ/5+9\nMw+Psrz3/mf2mUySyb6vBJIQlrCERUBAKYqIIq1ttS7UpXW5fM+x7el7Tq/qi9aqtcvpOfay62kr\nehRwQVstKosCGvbVBAIJZN8nk2Qms2/P+8d0RiJkg8nK/bkur8s888x9/yYwP77P/du6nd0kRiRy\nT/E9fYolq9vKOxXvcL7rPDJkXJ97PddmXTvoz+Xz+zjTcYYjzUcoayujuruaHlcPHr8HCEws0av1\n6FQ64nRx6FV67Ao7epWewoxC9Gp96EQwXhePRqlBpVCFRJ5f8tPl6MJoN1JlquJ813k+qf0kJAy7\nnd3srt3NidYTQKDKcPWU1YOyXSAQTCxsbht/P/t3zprOAhCvi2dK/BT0Kj27anZR1VmF2+cetlGk\nAsF4RgjDfmiztvHKyVeweWwkaZNYmbqSIy1HONZyDLlMzlenfpXpSdMHvZ7L66K0oZT9Dfvx+D3I\nkMP+bZgAACAASURBVDEndQ7Lc5ZzrOUYL5S+wNN7ngZgec5ylucsv+Q6s1JmUdtdy4nWE7x56k0e\nKnnoosri8vZy/nbmb3j8HtKj0rlr5l19FmOc7TjLe5XvYXVbiVBF8NWpXyXLkEW7rR2Ly4LNY8Pl\ndSEhIUkSMpmMWG0sSrmSk20n2dewj9PG09g9dvySH6/fi9fvRa1Qo1fridXEEqmORKlQolUGwsIa\nhYYWcwu11loSHAl0ODqoM9cBoJKrSI9O5/rc68kyZIXsjNPFER8RT6WpEgC9Sh+omm4+yrnOc0gE\n+iVem3Uti7MWi5nJAsFViNPr5C/H/4LJYUKr1LJy0krMLjPX515PWVsZAAaNQYhCgaAPxL+cfdDS\n08IrJ1/B4XWQF5tHjjaHz9o/w+VyoZKr+Ma0bww6f02SJI63Hmdn9c7Q3OLChEJW5K4I9fu7UAg+\ntfypftfbXbubm6fcTIO5AaPdyKGmQyzKXAQETtYOdhzEZDUBUJxczJr8NagUqovWsbqt/KPyHxxq\nOoTZZUar1FKQUMA7Fe9g89guut/n99Ht7KbF2kJddx1GuxGf34dWqUUuk6OUKzFoDCRFBkbYGbQG\nNApN6NRRIVMQoYoIiUOFWcH5nvMUJRYhl8npcfVgcpiwuq3Udtfyl+N/4eGSh0mJTMHj83C4+TAf\nV3+MyWGi09mJ3+Bnc/lmAJRyJUWJRSzLXtZnqFwgEAwOs9OMRqkZl3l47555F5PDRJI+ibtm3IVB\na+Cp3U8xOW4y71W+BwSaWwsEgksjhOElMNqMIVFYEF/Auqnr+Pn7P6fR3sikuEC7mAtPsvrDZDfx\nXuV71HbXAoHxcisnrSTTkHnJ+/s6JbyQ3bW7WZ6znFWTV/Hq56+yu2Y3xcnFAPyj8R+0OFrIiMhg\n1eRVzEub1ysc7Pa5aTA3sKtmFzurd2KyBwRkbmwu8br40M8KmYJYXSwKmYJuZzet1lYqOiposjRh\ndplxeV34JB9qhRqdTEdRYhEzk2eilCuJ08URp4ujwdLAdTnXhX42aA2h0PDu2t0cPHOQj1s/5lpj\noL3P7UW3A2BxWfjP/f8JBE4zS+tL2V27m1ZbK92ObmK0MUyOmxxoph2RyOzU2cxKmSXa0wgEYWBf\nwz62n9+ORqFh/az1vQrgxhp+yc/ZjrPUdtfSbmvH6rZS1l5GtiGbO6ffyfHW4+yq3sVPP/0pe2r3\nkB2Tza0FtzI3de5omy4QjFmEMPwSFpeF//38f0Oi8Pai23n3zLs02hvRKXR8e9a3+63oDeLz+9jX\nsI89dXvw+r3oVXpWTV7F9KTp/ebt9ScMt5/fzraqbfz3wf/mtPE0qZGpNFoaMTlMHG4+jMfvoaOr\nA51Cx7Lpy8iMzsTqtlJvrqfeXE+DpYFKUyVVpirMLjMQCM8uSF9AQUIBmdGZoQKQmq4aPqn9hLK2\nMkx2E409jVjdVtQKNUn6JDKiM5iRNAOlXEmduY70qHS+d833iNZEI0OGy+diwycbyDJk4fF7MLvM\n9Lh7QvmFy3OWE9kRCfQ+IW0wN/B62eucaj9Fm62NfQ37cPvcAESpoyhMKCQvLo9pidOYkTyDZH2y\nmKAiEIQJs9PMzuqdALh8Lv5R+Q8enPPgmPyOVXdV89G5j0Jz4iEw//1MxxnidHHUm+txeV0YtAaW\nZS9jWc4yFmcu5rrc68bk5xEIxgpCGF6A0+vktc9fC42Ku73odnZW7+SU8RQquYqb0m8alCg02oy8\nXfE2rdZWIJATeEPeDZd1otXl6KKsvYzy9vJQZfGy7GUUJRYBgXy8c53nqOuuIz06HY1cQ7IumV01\nu9hyagtev5dJsZOIUEVQ01VDh72DSE0kebF53JJ/CysmrQgVu1R2VPJ2xdscbDyI0W4MzDr2+7C4\nLOiUOjINmcxJnsPctLlEqiOxuCwcbTlKXXcd9eZ6/vWDf0VCot3WjtFm5FjrMQ40HiA3NpecmJzQ\nZ1Ir1MTp4tB0aZgRM4MGcwOHmg7xftX7HG85jtllRiFTkKRPwuv3kmnIZFHGIkrSSpgUO4k4XZxw\n7GFm69at1NXVcfDgQaZOncqGDRtG2yTBKHCg8QB+yU9BfAENlgaaepposDQMOkIyEnj9Xnac38HB\npoNAwN9+Y9o3SItKY/v57VSaKmm0NIa6RkCgvdh9s+4jOyZ7tMwWjCDCn10ZQhj+E6/fy5byLbTZ\n2kiISODOGYEwxMGmgyhkCm5Mu5EEbcKA6xxvOc62qm14/B5itbHcUnALk2InDdmWU+2nONpyNNSw\nGQJ5dMn6ZG7Mu5Eb8m4ACPTqi5tCY08j+XH5RLoiMTqNOL1OHB4Hbp+bo81H0aq0TEucxrSkaSzJ\nWsLizMVolBoaLY3srN7J387+LRTuliSJCFUE6dHpdDo6UcqVKOQKotXRVHZWcrztOA6vg3ZrOw6v\nA7/kJyEiIVQ8AhCjjSEvNo/smGyKk4uJVEeGehmaHCbMLjPVrdU4/U7+p+5/QieYALHaWOamzmVx\n1mKWZS8jJzZHNKMdRqqrq+nu7uZ73/seTqeTgoIC8vPzufPOO0fbNMEIEyzsWpK1hNPG0+xv3E+V\nqWrMCENJkni/8n1OtJ5ALpOzPGc5O6t3sixnGVa3FafXSXFyMQUJBcTp4kjSJ5FlyCI3Jlc8TF4l\nCH925Qhh+E92nN9BTXdNqAF0q7WVD6o+AGBt4VrcDe5+3+/1e9lWtS00xq44uZib828eUuVbj6uH\n/Y37OdF6IlSkopKrKEwoZGbyTCbFTkIhV+Dz+9hbt5cPz31Iq7UVp8+JDBn1lnpyFDkkaBO4tuBa\nejw9HGg4QHVXNT7Jh1Km5P/M/z/IZDL2N+7neMtxytvLqeqswuFx4MdPUkQS0ZpoNEoN3c5uThtP\n4/Q6UclVdDm6iFJHEamJRKfQ0eXoYlLcJDKjM7ku9zpitbE4vU5MDhMd9g4kJDodnRxpPkJ2TDYW\nlwWLy0JrTys13TW0WduQkEhRphCrjWV60nRunnIzN06+kVhd7GX+SQqGSnl5OU899RT3338/Wq2W\n+fPnU1paOqEcqdfrRS6XI5f3fsBwu92o1aI6FQKN8E0OEyq5irSoNKxuK/sb99PU0zTapoU40XqC\nE60nUMlVTImfwsc1H/PM3mfw+Dx4/B4i1ZHMSJ7Bt2d9WzxMXqVcDf5suBHCEDhtPB06Gbxz+p3o\nlDrePfMuEhLXZl3LzOSZHGk40uf7HR4Hr5W9RqOlEaVcyZr8NcxKmTXo/V1eF/sa9rGvYV+o719q\nZCrz0ucxPWl6L3FZZariD0f/QEVHBTa3jczoTGanzKaiowKNQsMU9RTi1HHUmmuxe+ykR6czL30e\nTZYmOuwd/HTvT1HKlXQ7u6noqKDN2oZCrsCgMRAfEY/T68RoN6JVaolURzI1YSqdjk5itDEYNAYi\n1BFUmao413WOFlsLBq2BSbGTQhNNIFDgYnVb0Sq1VHdVA1DbXYvP78Pld+HyunD73ESrokmPSOf/\nXv9/WTlpJdFa0ZB6NFi9ejXbtm0L/dzU1MSyZctG0aJLc/bsWR5//HGeeOIJFi9ePKT37tu3j69/\n/eusWLGC1NRUTCYTJ0+e5JVXXmHGjBmh+7Zt28bmzZspKiqivLycG2+8kXvuuSfcH2VM0mhpBCA9\nOh2FXEFGdAYQmMwUbFM12gTDx6unrGZ26mx8fh/NPc3EaGNweB1Ea6L5xrRvCFF4FTMe/Fk4/Mxg\n1vD7/fz2t7/l+PHjpKenI5PJ+Pa3v01ubm6/a1/1wrDL0cXfz/4dgJV5K0mPTuf9yvexuCykR6Vz\nXe51/b7f7rHzyslXaLW2YtAYuGP6HaRGpQ5qb5/fx5HmI+yt2xtqD1OYUMi1WdeSFpXWyxGf7zzP\nX47/hf2N+/FLfrRKLQvSF7A4azHTk6bTaGnkj0f/yEfNHzE5ajJpmjSyDFlcn3M9teZAz8O9dXtx\neBwk6ZPQKrW09LTgk3wkRyaTFpUWOA1URzIpdhJ5cXlkRmeSachEq9BS3V3N+a7zbD+3HY1SQ2F8\nIQaNgdVTVuP1ezHZTbi8Lhw+B5IkYXVbabI04fP7iNHGoFFoiI6IxulzYnaaKUosItYbyz2T7mFp\n0dLL/NMThAOlUsn06YF+nCdOnMBkMvHAAw+MslVf8P777/P2228THR3N9u3b+dGPfjTkNSRJQqVS\nsW3bNlQqFTfccANvvfUWeXl5oXv27dvH+vXrOXfuHAaDAZvNRmFhIZGRkaxbty6cH2lM0mBuAAgJ\nwihNFNGaaCwuCx32jlBrrdFCkgIRCIA6cx115jpqumpw+9w4vA7y4/O5teBWItWRo2qnYHQZ6/4s\nHH5msGt85zvfISYmhj//+c8AzJw5kzNnzrBly5Z+17+qhaHX7+XN02/i9DopTChkQfoCartrOdJ8\nBIVMwdrCtf0+eVrd1sBUFFs78bp47i2+F4PWMOC+wVFNH9d8HHJ0mdGZrMxb2SuXx+f3cdp4mjdO\nvcGBxgOBptgyGYsyF3HnjDspjC+kuaeZA40HKG8vp7mnGbPbTLwmnlWTV9HS08L/++T/0WBpwOP3\n4PP78Pq9WN1WUqNS6XH3oFVqSdQnkmXIIj8+nylxU0K9y6xuKydbT+LwOihvL+do81Gsbis+ycfk\nuMmkRqWG7o1QRWBz2/A6vZzrPEe7rR2VQkVOTA7TEqfhl/zYvXbUCjWx2liuybyGuK440YR6DOFy\nudiwYQPbt29Hp9ONtjkh1qxZw5o1a6irq+M3v/nNZa/z3HPPce+99/b5+k9+8hPWrVuHwRD4Duv1\ner71rW/xzDPPXB3C0BIQhpnRX7TSyojO4LTxNI2WxlEXhjJZYCDAgcYDoQlHAHNT53J97vUUJRaN\niVNNwdhgrPqzcPiZwazx9ttvs2PHDurqvsj9v+mmmyguLh5w/av6X+Wd1TtDYYi1BWuRkHjv7BcN\nUPsaNQeB/lmbyzfTbmsnMSKRe4vv7XeUXZAOe0eg/c0/wzYJEQl8ZdJXKIgvCDk1u8fO0eajfHju\nQ060nsDmsaGUK5mXNo/vzv0uWYYsytrL+PPxP4cqn9UKNUUJRZxznaPV0cofjvyBSlMlNo8Nj99D\nSmQKc1LnUNNdg06pY23BWqI0UZzvPB86rbwwHFzbXUu2IRuj3Uh1VzVOrzNk7+S4yWiVWpJkSXi8\nHhxeB1a3FZvHhtFmRIaM1KhUSlJLyIjOwOQwIUNGjCyGWG0sN+ffzOS4yRw50nd4XjDy/PSnP+Wl\nl14iIyODc+fOMXny5NE2acRwu918/PHH/PKXv+x1fcaMGfzyl7/EZDIRHz9xG6f7/D6aLIFcwuCJ\nIUB6VDqnjadp6mkacC77SHBD3g3kx+fTYG5Ap9KREZ1BSmSKCB0LLmIs+rNw+JnBrvGLX/yC1atX\n93pYeuGFFwZl51UrDCuMFRxoPIBCpuDrRV9Hp9JRaarE5DARp4vj2qz+O+PvrdtLo6WRaE003571\nbfRqfb/3S5LEoaZD7KjegdfvJUodxfKc5cxOnR1yam3WNg40HuCzhs8433meTkcnEaoI5qTO4Z4Z\n95CgT+BYyzHeOPVGKBcx2FdQkiSarc20Ods4Yz6DVqdFKVeSG5PL9KTpRGmimBI3hYqOCtw+N7NT\nZzMzeSaSJNHl7MJoM9Jua8fmsSFJEidbT2LRWrC6rcTr4tGpdOTH5ROlicLisoSKY5QKJX6PnzZb\nGy6fixhtDNGaaKYlTcPistDl7EIuk5MSmcKSrCWhKSeCkcHj8fDcc8/xl7/8hYaGhl6vqdVqWltb\niYmJ4Y9//COrV69GpVLR1NTEzp07x4QjDSfHjx/nzJkzaLVaqqqqWLNmDd/85jcBqKmpwev1Eh3d\nO881+HNNTc2EFoZGuxGP3xPoM3qBLwuKxOAD40jj9Dmps9bRVtmGxWUJPeAOtdODYGIw3v1ZOPzM\nYNaQyWQcPnyYG2+8kd///veYTCYqKytZunTpoMLqV6UwtHvsF+UVQqDVDMCc1Dko5Io+39/S08Le\nur3IkLGucN2AotDsNPPumXep6a4BAn0NV01eFQrDdjo62Vm9kwONB6jtrqXT0UmcLi4QIsm5HoPO\nwIGmA6FGrpIkoVfrUSvUWN1WGi2N2Nw2uuxdWDwWOt2dFMcXE6+L56tFX6UktYQp8VNQKVSU1pey\no3oH26q2MTN5JgCR6shQmHlb1TZ21ezicPNh8mLziNXGMjt1NqmRqdi9duzegCDUKDXIZXI67B24\nfC5SI1NxeB3oVXridHF0O7uRy+RMTZjKvPR5ol3EKODxeFi1ahVqtZotW7Ygk8m47777WLp0KT/+\n8Y+JiIggJiaG0tJSHn30USTpi1nYb7755mibH1YUisD3+bnnngOgp6eHyZMno9VqWbt2LZ2dgZQO\nvb73dzkyMhJJkjCZTCNr8AjT7ewGAhGBC4nTxQEBHzaSeP1e9jfsZ0vNFtx+N2mKwPSVs6aznOk4\nw8MlDwt/cpUxEfxZOPxMf2sAmEwmZDIZkiTx3nvvsX37dhISEvD7/UybNg23280jjzzS7x5XpTD8\npOYTHF4Hk2InsSB9ARAQi5WmSmTIQuPl+uKU8RR+yc/c1LnkxvZd3SNJEp+3fc62qm24fC70Kj23\nFNxCYUJhaM89tXvYVbOL6q5qup3dpESmUJxcTKYhE7VCzeGWw6H1VHIVWqUWm8eG3WPH7rFjcVmw\nuW34JT9KhRKP30OPtwez00xubC7VXdXUdtcSq41Fo9RQ213LydaTtFhbkMvkOL1OnF5nKIzs9rmJ\nUEWQG5PLkqwlZEZnEh8RT7wunoSIBBIiErC4LZS3lVNpqqTD3oHZZSZZn0ymIROlXEmMNoZZKbOY\nkzqHaI2oNB4tnnzySWw2G9u3bw8Jo0cffZSXX36ZzMwv8sgWL16M1+sN+/7r16/HaDQCge/Cl/H5\nfKHX0tLS2LhxY9htCLJkyRKWLFkS+jkqKoply5bxxBNPsHbtWpTKgCsM/p6CuN1uZDLZsPx+xhJB\n4WfQ9M6R1qv1yGVybB4bXr93RHKCW62tbK3YSrutHbffjcvnYuWklURpothasZU2Wxs2j00UmVxl\nTAR/Fg4/098aEGjN5ff7ASgoKCAhIfCwJ5fL+cpXvsKGDRt48MEHUalUfe8xoBUTjDZrG0eajyCX\nyVk1eVXoqbPeXI9P8pETkzNgrmBNV+DkLyjwLoXdY+e9s+9R0VEBQEF8AbcW3Iperccv+TnQeICt\nFVsDIWNnJ1HqKJL1yRg0BiLVkVjdViAQKk6LSsPldWG0G+lx9wCgV+npcfegkqtIjUpFKVcyK2UW\nRcoi3q57m3+79t9CU0jMTjMmR+BJ5FT7KU4ZT1FnrkOj0KBValHIFSjlSiLVkaRGpjI/fT4SEmvy\n1xCjjUGGjHOd50LTSdqsbXQ6OlHJVWREZzAlfgppUWlMTZhKYUIhKZEp4ml+lLFYLLz44ou8/fbb\nvRyI2+3G4/GMiA0DCT2z+YtTqGAS9Uii1+s5ffo03d3dJCUF8omDDjVIT0/g+xYTEzPi9o0kwRPD\nLxfPyWVyotRRgZGWrp5h7y/aZm3jL8f/gtvnJl4Xz6yMWWxr3MbirMWhHrHRmmj0qv6jNIKJxUTx\nZ+HwM4NZIygGL+y6ABAbG4vJZKKsrIw5c+b0uUfYheHTTz/N008/3etaSkoKzc2jk6NyIZIk8eG5\nD5GQmJ82v1dxiV8K/JJ1yoGrl7z+gKoP5vl9mTZrG5vKN9Ht7Eaj0LBq8ipmpcxCJpNR213Liwdf\n5GjzUSwuC0qFEr0yEH7NjM5EpVARpY6iIKGAjOgM6s31nGw9iU8KPI3kxeaRGpXKsZZjyGVyYrQx\nzE+fz4KMBUSqI7E12UjVpeKTfNw98+6AnT4PnY5OvH4vVaYqXj75Msdbj3Nd7nWBqSYyRaAqO2MB\n2Ybs0DF0VWcVb556k0PNh2iztoXyCmO0MeTH5zM7ZTbTkqYxNWEq8RETN/9qPPLpp5/i9/tZsWJF\nr+ulpaVcc801o2TV6GC1Wpk5cybr1q3jV7/6Vei6xWIBQKVSkZaWRkREBG1tbb3eu3HjRvx+P9de\n+0XO8VjxZ+EkOHnoyyeGEBBiZpcZi8syrMLQ7XOzqXwTbp+bosQi4nRxvHHgDf5U9SfU29TYPfZA\nC67c68WD51XGRPFnffmZYAg5Pz8/LGvExsai0+n6FM3BU8e+GJYTw8LCQvbs2RM6bv3ykedocabj\nTKgqd3nO8l6vXepouC9mJM+grbqNt0+/TXNmM0WJRSREJKBWqKk0VfLW6bdw+9ykRqayavIqfH4f\n7599n3fOvsP+hv04vA6UciWpkalMiZ9CamQq6dHpFCYUUhAfGOVU2lDKPyr/EWhRg4zpSdNZnLmY\nOnMdH577EIDcmFxuK7yt11N+kjaJtIi0Xk1plXIlbp+b8vZy9tbvpba7lih1oEfZnNQ5zE+fj0Fj\nwGg38kntJ+xr2MeJ1hN02DtC6+pVevLj85mbOpfZqbMpTCgUYeIxjMPhICEhoddUj6amJnbs2MGh\nQ4dGxIYLQy+XIhg2Ge5QslwuD43GupDKykoWLlwYytVZuXIlFRUVve5pbm5Gq9VSX18/5vxZOAmG\nkmO0F59YBL/nFpdlWG042XoylE6zrnAdKoUKVbuKWmttKPdxQfqCIQ0PEEwMJoo/U6lUl/QzR44c\nYdasWSQmDtwSarBr3HDDDdTX1/e6p7m5mbi4OKZNm9bvHsMiDJVK5aA+4Eji9XvZfn47ANflXodO\n1ftkMJiv0mBpwOPzoFL0HX9fmLGQdls7n7d9zmf1n/FZ/WcAmOwmKk2VgdnB+gS6HF18Wv8p7dZ2\nmqxN2NyBtjCpUamsnLSS+WnzyYrJIsuQFXLIbdY2/nTsT6H+hlMTpnJd7nUk6ZMw2ozsOL8DCLRt\nuCbjmouenCOVkWgUGuweO+c7z1PTXcMp46lQqKjb0Y1KoWJO6hyWZC3BZDfxp6N/4kzHGVqtraHW\nNRA4PQ0K0jmpc0ITEQRjn2XLluFwOOjq6iI2Nha3280DDzzAz372MwoL+06BCCfhDiUHc3i+HEIB\n+PDDD7n33nvZtGnTRacKERER3HfffVx//fWha4cOHaK6uppPP/00dO2hhx5i/fr1PP/880RFRdHR\n0UFFRQXJycljzp+Fm9CJ4SX6sI6UMLyw9daxlmM09TSxs2YnarkapVzJitwVLMxYOKw2CMYmE8mf\nXcrPbN26lZdffjl0T3/+bLBrPPnkk6xevZrOzk7i4uLo6urigw8+4Nlnnx3w4XZYhGF1dTXp6elo\nNBoWLFjAc889N+AIluHmQOMBupxdJOmTKEkruej1LEMWqZGptFhbePfMu9ycfzMRqohLrqWUK/nq\n1K8yP30+BxoP0GptZX/DfhosDTi9TqLUUXTYOmjpaUEtV9Pl7EItV5OblMu9xfeytmAtGqXmonXL\n2sr4+9m/h/oO3pJ/S6hiGgLVy8GQcoQqghZrC3G6uFB1s1/y0+JoodXeyun60zRYGtApdTi9TiQk\nojXRdDm7sLsDhTb/feC/e62pUWpIi0pjZvJMlmYtZV76vH4FsmDskpiYyObNm3nssceYMmUKTU1N\nPPbYY6xZs6bXfa2trWzZsoXa2lpKSkpwuVzU1dXx9NNP43a7ef7558nOzqapqYmlS5dy7bXXIkkS\nv/3tb0lMTKS2tpZHH300VBE3HJSWlvLiiy9y/PhxZDIZ69evZ8GCBdx1112sXbsWCDylezyePkMn\nGzZs4LnnnqO9vR21Wo3RaGT//v3MnDkzdM+qVav4+c9/zne+8x2Ki4s5efIkq1ev5qOPPhpz/iyc\nBJvey2XySxZ0jJQwLEgo4GjLUerN9dSbAycdXsnLoqRFfLfkuxdVTAuuHiaSP7uUn/nNb37Drbfe\nGrpnIH82mDXmzJnDxo0befDBB0Of+YUXXuDuu+8e0EaZNJQY6iD46KOP6OnpobCwkPb2dp555hnO\nnDnD6dOniY3tnZ9yocKuqqoKpxm9sHltvFEb6P23OmM1GREZl7yvw9nBuw3v4pf8qOVqZsbOJEWX\nQow6Bp1CF8q98/g9uP1ubF4bLY4WdrXsot5aj91nJ0ufRZwmDhkyDGoDLp+Lbnc3sepYbs68mSTt\npZtmnzGfYW/bXgDyo/NZkrTkogpAj9/DW3Vv0ePpCV0Lzh/udHfS6erE4/fQ5erC4XMQr4knIyKD\nSFWgFL7H20N1TzUOn4M0XRpxmji0Ci1JuiSmRE8hPzqfFG2KmEZyFfHBBx+wYsUK1q1bxxtvvIFe\nr+f+++/nF7/4BT//+c/52te+xvz583E6ndx3331s2rSJ/fv3U1VVxb333suvfvUrvva1r5GTkzPk\nvadMmRL6/9EoPhkMg/VnI+XLhoMeTw+bajahV+q5a9JdF71eZanik9ZPyIvKY0XqxacX4aTR1kid\nrQ6f5CNeE0+qLpU4Tdyw7imYOAh/Fh7CrgBuvPHGXj8vXLiQ3NxcNm7cyOOPPx7u7QbF4Y7DePwe\nciJz+hSFAAnaBG7LvI2DHQdpsjdxxPTFZA6VXIVCpsDld4VyjVw+F1WWKlx+Fyq5iumx08nWZ5MR\nkUFOZA5ahZbNtZuJUkVxU8ZNfYpCp8/JwY7AcPiFiQuZETPjksnVKrmK1Wmr2d+xnypLFa2OVjrd\nnaHCGUmSUMgVRKujUXgVRKuikclkWL1WdAodceo4OtWdxMniWJW+iryoPDL1mUSrRK7g1cry5cs5\ne/YsJSUloVw7o9FIY2MjLS0tzJ8/HwgUagTza2JiYti4cSMnT57kjjvuuCwnOl4Yi/4s3Dh8DqDv\nwjudInDd6XMOuy0Z+gwy9H37aIGgP4Q/Cw/DfjQUERHBtGnTBnyKLim5OLwbDpp7mrFarWRGZfLw\n/IdDDVv7YxWrON95ns/bPsfkMNFh76C6vhoPHtLS0lAr1Pj8Pk62nSQzOZMcQw73FN9DQXxB2B5G\nZQAAIABJREFUr9DroaZDpLhSyI3JZc2sNX3uV2+uJ94RqOq9df6toZCJX/JjtBlDoZV6cz1mjxkp\nWiJNn0a8Lx6H24FcLker1KJWqDG2GunydGGSmUiMSGRa0jQ0Cg0Z0Rkk6ZPYfn47CREJ/MeS/xj1\nyr7gSLzh+rMPJ+PF1sux88iRI6xdu5aSkhJqa2sB6O7u5uabbw6t88orr3D99ddTUlJCSUkJy5cv\nZ+vWrfziF7+gurr6smy98JRtvDAYfzbe/o6c7ThLmjeNKXFTKJl5se3pPemckE4E0nBG+LNN5O/d\naDHRbRX+7MoZdmHodDo5c+ZMr8TvkaS0vhSABRkLBiUKg+TF5ZEXF+gBJEkSpapSJEli0fxFdDo6\neeXkK0xPmk6WIYu7Ztx1yZzBeF1A7NWZ69hVvYvJcZNJ1CeGchclScIn+YhQRuD1e+l0dPLD7T/E\nJ/mQyWR4fB58ki80lcTr9yJJElqllmhNNAatgQR9Qq+CEL1KT7Q60OerIL6AR+Y9Qqw2FplMxmnj\naaI0UaRHp4+6KBSMHfbv389jjz0GwB/+8Ac2bNiAXq8PtXNxuVz8z//8D3/961/Zu3cvzz//PB98\n8AH/+q//etXNux5tfzYcBHum9tUwOuivgu2qwo1f8mOym/D4PSTrk0WBm+CKEP7sygm7MPzhD3/I\nLbfcQlZWFm1tbTzzzDPY7XbWr18f7q0GxOKyUNFRgVwmv6JqNplMhlYRKPAwOUxsPLERm8dGbkwu\nd864E7VCfcn3TYqdxIykGZS1l/Fp/ad8Wh+ogJQhQ6J3aqfP76PL0UW7rT1UDAKgVWoxaAzERsRi\n0BrQq/TIZDL0Kj1RmijidHGkRqaSEplCalQqZz4/g9Fp5KD3IAkRCb3E8Gnj6ZBdAkGQ06dPU1FR\nwalTp0hISODhhx/G7/fz5JNPsnHjRs6fP89LL71EXl4eGo2Gm266iVdffRWj0cgTTzwx2uYPK2PJ\nnw0XAwnD4MhPu8ceaoEVDjrsHeyp3cO5znM4vIFwtkqu4u6Zd5Mdkx2WPQRXH8KfXTlhF4aNjY18\n61vfoqOjg8TERBYuXMiBAwd6jawZKQ43HcYv+ZmeND0sPfe63d3sPrkbm8dGXmwed0y/o9+qXZlM\nxteKvsa89HkcazmG0WbEaDfi9rlD98hlcvQqPamRqcxOnU2MJgadKlDoopAp0Kl0aBQaNEoNGoUG\nvVpPlDqq36dqtTwgVJ3eL3KCXF4XZzvOAjA9afqV/ioEE4SmpiaSk5N56KGHel2Xy+U8++yzF92f\nkZHBv/zLv4yUeaPOWPJnw8VAwlApV6JWqHH7AuPpgl0QLhePz8Ouml0cajoUyo82aAy4fW4cXge7\na3ezftbEEd6CkUP4s/AQdmG4adOmcC95WXh8Ho62HAUIzUO+EiweC/9o/AeGJAOTYicNKAovJMsQ\n6FUIvRtpD1c4NygMXT5X6NqZjjN4/J5ePRMFgv3794+LXKPRYqz4s+Ek2Lu0v9nDepUet8+NzW27\nImFotBl549QbGO1GZMhQK9Q8XBLI/S6tL2VH9Y4+24QJBAMh/Fl4kI+2AcNFeXs5do+dtKg0MqKv\nrMrN4rLwfuP72Lw2sg3ZQxKFX0Ymk4X+Gy5U8oBtLu8XwjAokouTi4dtX8H44tSpU/znf/4nx44d\n4/z586NtjmCUCJ4YBkPGlyIceYZWt5X//fx/MdqNJEQk8N2538XtcxOni6O5p5ndtbsBEdEQXB7C\nn4WPCdmwTpIkDjYF2r8sSF9wRSLM7XOzqWwTVo+VJG0S35rxrT5zCscKCpkChUyBTwoUrZjsJurN\n9WgUGmYkzxht8wRjhGnTprFv377RNkMwygQfIPs7CQwW112YBjMUJElia8VWzC4zmdGZZBmy+MPR\nP/D0nqfpsHfg8XlIjUpldkpg3KZAMFSEPwsfE1IY1pvrabW2olfpmZbU/0zA/pAkiXcq3qHF2kK0\nKppV6asuWX081pDJZGiUgbF4Lq+LI82BSquZyTPHvKgVCAQjS1Ds9ecbglEIj//SkxgGos3WRnVX\nNTqljm9O/yaR6kjmpc/jtPF0qD1Xfnw+N+ffLDomCASjzIQUhsHTwpK0kiua4vFJ7SdUdFSgVWpZ\nkr4kVJk8HlAr1Ng9dtpt7RxrOQbAvPR5o2yVQCAYawxGGAb9qMd3ecKw3dYOBFrT7G/YT1NPEw3m\nBiJUESjlSr4y6StXHN0RCAThYcIJQ7PTTIUx0KLmUjORB0tZWxl76/YiQ8bXi75OV3VXGK0cfrx+\nLwD7G/bjk3zMSJpBkv7Sk1cEAsHVy6BODP+ZUx30K0MlLzaPCFUEdo+d0oZAb1kZMm7Jv4UVk1aI\ngjiBYAwx4YTh4ebDSEhMT5xOlCbqstZotDTyt7N/A2DV5FXkxeVxpHp8Nb50ep1Y3VbOmM6gkqu4\nPnfiNOQVCAThwS/5Q+HhYLj4UoRODC8zlKxX6/nu3O9yrvMcVreVJH0SOTE5ogJZIBiDTChh6Jf8\nHG85DsD89PmXtYbZaWZz+Wa8fi8laSWXvc5oEpySUttdy7TEaZSklRCrix1tswQCwRgjGBpWK9T9\nhnGDonGoJ4Zev5fzneep6a5BLpOTGZ15RZEcgUAw/EwoYVjXXYfNYyNeF39ZLWp8fh9bTm3B6raS\nG5PLTZNvGpc5Ly6/i25nN2anGa1Sy9LspaNtkkAgGIMMJowMX4SSB5tjKEkSJ9tOsqt6Fz3unl6v\n3TH9DlF5LBCMYSaUMKzoqABgauLUyxJ0e+v20tzTTIw2hm9M+8a4ndnp8ro433UelULFosxF/fYn\nEwgEVy+DFYZDCSVbXBbePPUmDZYGAJL0SRQlFnGu8xyNlkZqumqEMBQIxjATRhhKkkSFMSAMixKL\nhvz+JksTn9Z/igwZtxXehk6lC7eJI8ZZy1l6XD0k6hO5JvOa0TZHIBCMUYJCb8ATw0GGkpt7mnm9\n7HWsbitR6ii+MukrzEyeiUwmo6WnBUAUmggEY5wJM/mk0dJIj7sHg8ZAamTqkN7r8Xl458w7+CU/\nCzMWkhOTMzxGQqi7/3Bh9Vg52BFo1zMreZboWygQCPoknKFko83IqydfDaXiPDLvEbqcXchkMipN\nlZw1nUUpV4rJJgLBGGfCCMMrCSPvqtlFh72DxIjEYa/eHU5hKEkSe9r24PQ5iY+IJz8+f9j2EggE\n45+gMOyvIhkGDiXbPXZeK3sNh9dBQXwBd8+8mwhVBLtrd9PS08Jbp98CYFn2ssvuFiEQCEaGCRNK\nrjRVAjA1YeqQ3lfTVcOBxgPIZXLWTV132TOQB2J37W521+7m6T1PA7A8ZznLc5aHdY/DzYdpsjeh\nkCnIi88b1+FwgUAw/Az6xHCAUPLHNR/T7ewmPSqd24tu59P6T0P+rrS+lPTodG4tuJUlWUvC+wEE\nAkHYmRDCsNvZTYe9A41CM6RqZJfXxbtn3gVgafZS0qLShsvEXkLwqeVPhX19k93EjvM7AJhqmAqK\n/mefCgQCQThCyQ6Pg2Mtx0L52SqFisWZi5EhY0/tHhZnLSY/Pp+1BWvHZZcHgeBqY0IIw3Od5wDI\ni8sbUiXx7trdmF1m0qLSuDbr2uEyrxfhPiWEQP/Gd868g8fvYXLUZLQKLZ10olOKE0OBQNA3Q61K\nvtSJYaejE7/kR6fU4ZN8HGg8wP6G/ZhdZrJjslmUuYivTPoKctmEyVwSCCY0E0oYTo6bPOj3dDu7\nOdR0CIBb8m8ZsdY0wyEMS+tLabQ0Eq2JZoFuATtadkAEoeH0AoFAcCmGGkq+VI6hTqVDLpPj8Dr4\n/ZHfh66nRKawvng9ubG5YbRYIBAMN+NeGPr8Pqq7qoHAPM7Bsrt2d2iGcGrU0KqYxxLnOs/xcc3H\nAKwtWEvn+U46XZ3EEUdKZMooWycQCMYy4Qglx+niuK3wNg41HcLusZMSmcK0xGlMTZwqTgkFgnHI\nuBeGjZZG3D43SfokDFrDoN7TZm3jZOtJFDLFuJ4hbLQZeev0W0hILM1eSl5cHg1nG3D6nGiVWqI1\n0aNtokAgGMOEI5QMMDN5JjOTZ4bXOIFAMCqM+8e5VmsrAJnRmYN+z66aXUhI43qGsN1jZ1P5Jpxe\nJ0WJRVyXcx0Ane5OIBDGEYneAoGgP8IRShYIBBOLCSMMkyOTB3V/bXctlaZK1Ar1uJ0h7PP7eOPU\nG3Q6OkmNTOW2wttCIrDTFRCGyfrB/T4EAsHVy3DNShYIBOOXcS8M22xtwOCEkCRJ7KzeCcDizMVh\nnyE83FNNIPAZtlVto7a7lkh1JHfOuLOXUze5TAAiv1AgEAxIMDQcDBX3hUIWKM7zSb6LXrO6rXze\n9jllbWUDjswTCARjn3GdY+iX/LTb2oHBnRg2WhpptDQSoYoYlhnCu2t3D0vV8YUcajrE0ZajKOVK\n7ph+x0V5hEFhONgTVIEAYOvWrdTV1XHw4EGmTp3Khg0bRtskwQjgl/wAAxaJXCotxeFxsK1qG2Xt\nZaFrmU2Z3Ft877ANChAIBoPwZ1fGuBaGJrsJr99LjDZmUM2cjzQfAWBO6pywzhAeiakmAGc6zvDh\nuQ+BQAXyl5t5e3wezG4zMmQkRiSGfX/BxKS6upru7m6+973v4XQ6KSgoID8/nzvvvHO0TRMMM4MV\nhkEkSQIChW+vl71Ol7MLpVxJZnQmDZYGGiwNNPc0kx2TPWw2CwT9IfzZlTOuQ8nB/MLBhE3tHjun\njKeQIWNu6tyw2rE8ZzlPLX+KDcs28NTyp4ZFFFaZqnjz1JtISCzLXsaM5BkX3WO0G5GQMKgN4old\nMGjKy8t56qmnANBqtcyfP5/S0tLRNUowIgSF3lAK1cxOMxtPbqTL2UVaVBqPznuU9bPWMytlFgBN\nPU3DYqtAMBiEP7tyxvWJ4VDyC8vby/H6vUyOmzxslcjDFUau7qpmy6kt+CQfCzMW9rlPUCjHa+KH\nxQ7BxGT16tVs27Yt9HNTUxPLli0bRYsCbNu2jc2bN1NUVER5eTk33ngj99xzz5DXOXv2LI8//jhP\nPPEEixcvHrZ9xiNDPTH0+r28XvY6VreVnJgc7ppxV+ghNBiF8fkvzkMUCEaKiezPBlrD5XLx5z//\nmba2NjweD59//jk333wzjzzyyJD2GdfCcCgVyWVtgTyY4uTiYbNnOIRhbXctm8o24fV7mZc2jxvz\nbuzz6b6lpwUQwlAwNJRKJdOnTwfgxIkTmEwmHnjggVG1ad++faxfv55z585hMBiw2WwUFhYSGRnJ\nunXrBrXG+++/z9tvv010dDTbt2/nRz/60bDsM56R+OeJIQOfGEqSxOmO00hIJEQk8M1p3+wVmQjm\ne8dHCP8jGD0mqj8bzBo/+tGPKC0t5bPPPkOlUnHs2DFKSkqw2Wz827/926DtHdeh5DZr4MRwoFBy\nl6OLBksDKrmKgoSCkTAtLJzvPM9rn7+Gx+9hdspsVk9Z3W/IJzgBJkUnKpIFQ8flcrFhwwa2b9+O\nTje6c7Z/8pOfsG7dOgyGQNN6vV7Pt771LZ555plBr7FmzRr++te/8v3vfz8UMh2OfcYzgy4+QUa7\nrZ0OewdapZa7ZtyFTvXF3xG3z029uR7gotxngWA0mGj+bDBr+P1+jEYjPl/g1H7q1KkAfPLJJ0Oy\nd9wKQ7vHTo+7B7VCTay2/9DwWdNZAAoSCsJadDKcVJmq2FS+CY/fw5zUOdxacGu/orDT0YnJYUIt\nV5OkTRpBSwUThZ/+9Ke89NJLZGdnc+7cuVGzw+128/HHH4ee+oPMmDGDkydPYjKZxtU+Y5nB5hi6\nvC7OdQX+TtyYdyOxuthe7bnK2spw+9xkGbLExCXBmGAi+bPBrvFf//VfVFdXo9UGinErKioAWLRo\n0ZBsHrfCMHhamKxPHtCpBUOsOTE5w21WWChvL2dz+eZQ+PiW/FsG/IznO88DkKHPEPNJBSE8Hg9P\nP/002dnZyOXyXv9ptVq6u7sB+OMf/8jq1atRqVQ0NTWxc+fOUbO5pqYGr9dLdHRvgRH8uaamZlzt\nM5YZ7InhvoZ9eHweDBpDqMgkKAwlSeJw82EA5qXNGz5jBVc9V6s/u9w1XnjhBVa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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2565,17 +2670,17 @@ "from code.mkf_internal import plot_track_ellipses\n", "\n", "def plot_covariances(count, R, Q=0, P=20., title=''): \n", - " data = compute_dog_data(R, Q, count)\n", + " track, zs = compute_dog_data(R, Q, count)\n", " f = pos_vel_filter(x=(0., 0.), R=R, Q=Q, P=P)\n", "\n", " xs, cov = [], []\n", - " for z in data[:, 1]:\n", + " for z in zs:\n", " f.predict()\n", " f.update(z)\n", "\n", " xs.append(f.x[0])\n", " cov.append(f.P)\n", - " plot_track_ellipses(count, data[:, 1], xs, cov, title)\n", + " plot_track_ellipses(count, zs, xs, cov, title)\n", "\n", "plt.subplot(121)\n", "plot_covariances(R=5, Q=.02, count=20, title='$R = 5\\, m^2$')\n", @@ -2628,7 +2733,7 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 45, "metadata": { "collapsed": false }, @@ -2637,7 +2742,7 @@ "data": { "image/png": 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ckb5AH5OxSV4feJ09Q3vY5tmm7RMwFhrj/536f7w+8DoziRkUFBpdjawrX8fG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\nu72ZO5FKpBTGFlKcUEyaLm1C/Lgmu4mtDVvFFsMRqghuybqFfH3+ZY/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G0TXaRVZUFtcn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M3YBpPFNO5YpacS0f7RjiIgxCeELgG4CeOoEadqTzkm1MoIy0CwdzD14BAyx1BBwJGvpy/+74H/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\ngAoCQgghhIAKAkIIIYSACgJCCCGEAPh/TXyZy9eRBYgAAAAASUVORK5CYII=\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2683,7 +2788,7 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 46, "metadata": { "collapsed": false }, @@ -2702,7 +2807,6 @@ "\n", "H = np.array([[1, 0.]]) \n", "z0 = 3.2\n", - "\n", "x = np.dot(la.pinv(H), z0)\n", "print(x)" ] @@ -2755,7 +2859,7 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 47, "metadata": { "collapsed": false }, @@ -2764,7 +2868,7 @@ "data": { "image/png": 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Kq9ViZWXFo0ePjBbgjYnRr91tZ2eXW00TmZBr9HQajQYrKyvplRVCZFnqEmEH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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2773,8 +2877,7 @@ ], "source": [ "count = 50\n", - "data = compute_dog_data(10, .2, count)\n", - "zs = data[:, 1]\n", + "track, zs = compute_dog_data(10, .2, count)\n", "P = np.diag([500., 49.])\n", "f = pos_vel_filter(x=(0., 0.), R=3., Q=.02, P=P)\n", "xs, _, _, _ = f.batch_filter(zs)\n", @@ -2801,7 +2904,7 @@ }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 48, "metadata": { "collapsed": false }, @@ -2810,7 +2913,7 @@ "data": { "image/png": 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8kLJKCDOH/pGHvRWiYJNwJYQQwkBCosriQJi9Fq7chMc/WO7pcoGW9U7RuaEV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\nXTCaU/LknatTp06xfft2HB0dqVq16nOj36xKSk7dx++3PbBuL0Tdyji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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2824,8 +2927,7 @@ "\n", "P = np.diag([500., 49.])\n", "f = pos_vel_filter(x=(0., 0.), R=3., Q=.02, P=P)\n", - "data = compute_dog_data(3., .02, count)\n", - "zs = data[:, 1]\n", + "track, zs = compute_dog_data(3., .02, count)\n", "Xs, Covs, _, _ = f.batch_filter(zs)\n", "Ms, Ps, _ = f.rts_smoother(Xs, Covs)\n", "\n", @@ -2844,7 +2946,7 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": 49, "metadata": { "collapsed": false }, @@ -2853,7 +2955,7 @@ "data": { "image/png": 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KgC3EHwgJAMICgLBA82NoQPWjp1zA4HsmND3hBpp47+PoGT8Qe05txPGLe1BhNAAAesUP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\nNzdHcnJylcXYsWPHUFBQgPDw8Pr8VZuUgYGBtkP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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2885,7 +2987,7 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": 50, "metadata": { "collapsed": true }, @@ -2903,7 +3005,7 @@ }, { "cell_type": "code", - "execution_count": 48, + "execution_count": 51, "metadata": { "collapsed": false }, @@ -2912,7 +3014,7 @@ "data": { "image/png": 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KohAWEcy63cvR5hpra+tUa8J/np5e6IlYnn86zgjLKWk+U6aTsbU7F5smAx/c\nZTSdmvb61/ecjznB4g0zcLJ3ZlSvd6lTzTIdynX6XLYcWsPt5Bs833N8oTUk5qQoCumZkJgGSanG\nZCo5HZLSIDkNktIUVq/9g6iYRLDxAI0HKltPKlSsjdbgSGrG3Zop8eDyEjU3Z3C/k7CZbs7572/f\nvISzg56Wzeri4giuTsb3uzjm/1H5u++3zOfYxQMFlvfvMJJuLQcUK+7YhKus2fklV2LvXs1Yt1pT\nXus/FbVaQ44WUjKMCXlqhvFxWubd56ZbJqTd8zwrx5iw5OpBp7ubyPz9pr6nJlNzp3ZTMei5fi0a\ng0GPk5MDBr2e7Bwtdra21KhZE0VRGWtQuVuTqjfcTbryEjDx+Mg76VKrc1CUTDSaXKqU98bRnny3\nvbv/pFJtO2w0Wmw0Oei1GSRcv0mXNh3o0KYVTnfWc3K4+x4bjfGzqVGD5j6PAU5EHufnnd+iN9hg\nMNjeubehvFtNLoWnEnc7GZ+K1ejTbxCOTh5odXc/s/eeOOQltHo9aHW5RF4/R3xyHAZFjTF91TD5\nRS3De3SVZKwUeqyTsa83zeH05cMAvNx7Ik1rt32g94VF7KJ2lYZ4uZl/sMk8P+9cwoHTfzKg4yi6\ntuj/wO9TFIXMbEhIgfiU/PcJqcZEKykNElPz35LSjD9ypZKSg0rRY2urxsHBHrVahfrOGbLpXm08\n3Nz7QwuQlZNBrl4HigpQYWfriFptU8gZuYJOb0BRVJTFrpAOduDiZEzQnB2MPzAO9ndq8GwVDEom\nWl0S2doEMrNvA1m4u3gQULejqalWxd1m2rxER6fPf8DX6kB75z5bC3FJCVy7fRNtriPaXCcUxYNs\nrQO5OmvvESHE3x1YBm0b/XNLjiRj1lHSfKZM9xm7d15KV6cH70/yT33LzOHg6b84cPpPqlaog426\nKscuppGd40JCijFxykus7n1uSrhSjD+S1uDiCB6u+Wt0XJ3A+U4Njuvf7p0dFAy6VLzLueDspMHR\n3phU3HtvbwsaTfFrBVMzdHy5fiq3k2N5ufdEGvm1KnS93cf+x/q93wJ5yZwNjf060LHpQLxcq5kS\nknvvs7XGmpyMbMjIgswc431GNmTeWRZx5QJX4+LJyXUyJiw6J3J1zigGdzKyC+/nUxzZWuMtPrmw\nV1WA851b/qa6vcdKWnK5O7dHh43G+PkzNk0b0OszsLMxUMHL3Zjk2t1NdK/HXiAt9xo2mlzUah0q\n9GhU4F1dyvCoAAAgAElEQVSuPC3rtjPVjthojDfQozfk4GjvgEatzlfDd2+fRY0ajp7fQ0TMEVQq\nBZXKQDm3CjzZsj+ebp6mkxDNPTWDefdqlbH2JW97cPcEJTEtkS0ha7mZcA0FlekkpaFvGwLrP4XO\noEF75/Ot1VHgca7O+Dj3zk2ba6zFzNVB7p3X9ff04bz35Ojvz/Nqif5ew6m+83clJBovDinnVb7Q\n7eT9XTr93XhMNz2cjbhEYlIaHp4V8PDy5tbtZLKyDTg4uqG2cSInV8FgeDy6mOTRl9YTblFiZToZ\ne6braySmxpGamYSPZ2WzbltRFHK09zTD3GmiubepJq8ZMCntbo3VrcRsrsY1JVv7I9pcRx5mLY2N\nJhtH+0zs7TKws03H3i6DDo0D8HCFuOvnWbt6KS6OOvr37kxC5kliLp8k9WoSJ8P34Oacv//Tg1EB\nlp2Tzc3ZgzcHzeba7Sjq17h/B+Zq3n7UrtqIS9dO3+mXouPMld3k5N5m3OA5xS7/19172HtiCwBq\nlZqOTXvxVOBQnB1sTP3s8prxUu70tzM9vuc+NR2iryeTlaMBjSvpWff0x8sy1vKVJrY2dxNytztJ\nuenxnXs3p7tNtHk3J3vje/OSF9PtnmUa9d1+V3p9wb5GhjvNj2D8hMH9+y2p1XcSr3v6Bd5Oucbp\nqMOcjjrM5ZvnURQD3m7VmDLqiwJ/Z9QNhc/WFVxeo2Id/m9o+wLLr8bFMH/NBFQqNa6O7rg5e+Lm\n7ElV79r0ajss37qDuwYwf80aElJu0abhkwzuMrzQPoFFU46nAl9j38mtbD74o6kvkZe7nl7tepeq\n/q/h4car/wICijcxe2hoIh07diQ5N5e8cxQXFxcOHz5MvXr12HJoLVtC1qE32KLT29GkVmeeChyF\nVqsmK4e7Ny2EHT7Fx/M/x4A9GlsnvCr7UNmvBnVrtcLTtaZp3cxs4318Sjo3E2+iKOp8N3cXb9Qq\nO/SGu5/RvH6o9/bNM/Xdu9NPz/7OZzQnN4UzV/ajUeei0ejQqHPxdHGhUa2mVPeunu+CJJUKklJv\n4u1Z0bSsTnUz/GNEqVRqkrGo60qBTq95B+zCzpyMZ3e17tzg8nXQ6pR8NR/3nhHeWyuSfeeLl1cz\nkvc4NUOLTm9LVo6KtEyK2VTjcOdWfPZ24O6cA8RhZ5uEg10aDvapONhnMPSJgZRzV+PlBl5u4Olq\nvM1dPRyVKqvAtha+8SsajQ06XW1uHzvNzp072fLLKoa92wX/xmqcbHxJzjiPp1u9EsVcGINiID45\nllxdLlUq1Cz2dlyd3P8xEQOoVaUh4wbNJurGOf46vM50lW3P1s8Uu1yATk37sPfEFurXaMHTnUbl\nG3pCrVaZ+ocVPnRpfuHhkUDB5gNFUcjKMSZleRdK5DUrZmvvfmZNj7XG10zfE+52pL736lS9wZj8\nmC5esPvbBQx3HjvY5e/35uYM9nal50c9KycDG43dA12scPbKUZZunFlgeU5uwe8GYLqC1NHOCVQq\nsnKMw664OxesaY+LiyP8WAgAimIgNTOJ1MwkuE2+IU3yONm78FKv97gRf4XABt3+NfYHpVZr6Nys\nD439WvNL8FLORh8lKPDZUpWImUNgYCA7duzggw8+IDo6Gn9/fz799FPq1TMeq7oFPM35qye4HHuO\n7gE9GNBp1H37UvXv2IT+HcawZMkSkpNjad26HBMm9MfOzq7Q/bZu1xr2ndxiem5rY0cTv0CeDBhU\nomNZTq4De4/nsOPIetNnDUBROTCqz9eFXNFcqdhlibKl1PQZ8+xl2cvqrcXdBcq5QTl3483JPosr\nN/diZ5dKxyYtaOZfi3JuUN7D+Hp5d2Pz3tebZnE2+qhpO9V9/GnXqDvtGvUoUEZGVhqTlo4Adf5/\npVqlZu6YH0xXyGVnZzN37lzOJRzCx9/JtJ4KFe2bPEXfds+X6Gq6jKxUzlw5wtW4SK7FRXEt/jI5\n2izqVm/K2Kdn/Ov7s3IycbBzNMuPSsytSxy/eJC+7V8odHvJ6Ql4uJQjJSOR/Se3civxOi/1fq/Q\nbV27HUXVCn4ljkn6cuSXl6xfu32Z67cv063l0zg5FJw78tv/fcyJyBAc7ZxwcfLA1dEdFyd3ugcM\nokZF/3zr5uRm88GyEeTqjcmRChXlXavg416d0YMK/n8NigGDQW8abkKryyEtIxkFhfLuFQFjsjxt\n2jRmz56NX+OKPPFMUxxd8tdwBdTtzIin3iYxMZHDhw9jb29PmzZtcHCw/IU7F66epE61JoV+zs9e\nOUp1n9oWH7akMP/2ed+8eTNr165Fp9PRq1cvRowYUeTvfmZ2Okcv7Kd9455mS0ZzdblM/fYlsnIy\nqFutCQH1OtOkVhsc7Mx3ZXhmTjq7jm5k17HNaHOz7ztTR3HIccY6Hus+Y5ZmozEmU65O+ZtlXJ2M\nna09XPLXTnm6QlJaBLuOfcvIXqMIqNsw31VyiqKw8JcZVPYxXsGWlfsTLk6DeLLV8ALjDA3s/DLn\nfzyJo70z/dqPoHWDJ+571rfkq2V88e4G7OxtqFXHj8uRl9HlGti5IzhfcuXg4MCMGTMIOxzGudjD\nnLy2D21uNgoK+09uJTc3h+d6jCv2/kpMi+fHvz4vsPxaXBSKohQ4WKZlJrPwl/epVaUhtSo3YM/x\nzdSsVI8hT4z+x6uFHkR1n9pU96ld6GtpmSnMXvkfvL2qEBsfg95grAK9GhdFNe+CSZc5EjFzMxgM\nFh9NXlEUDpz6k6a12+LqVPSDS2EMBj3r935LTFwkN+KjTc1sAHWrNy306ua8GQWytJlkaTO5fWd2\ngw5NgsjJyck37pS9rQONawWiN+ho5NuKBjVbcv7sxfvGo1apUWvu7kc7G3vKuecfeuDHH380TWhu\nr/PkmynbUGtULP9uGV17dCY1IxEXRw+2b9/OkCFDTAdlf39/tmzZQu3ahX8OzUGlUlG3etNCX0vP\nSuW7LZ8A0KlJL55o0d9s/8d/kpmZycKFC9m9ezdeXl7MmjUr3+C+AF988QXjxt091vzyyy+cPn2a\n+fPnF6ksJwcXOjR5yixx51GrVPxnwDQ8XMrhVkgNqTk42bvQu+1zdGram+CjG+naonhXRYtHR6lJ\nxnwr5+8Ie+8VYWr138bDKWRsHFsN2Nnlb6vPe2xq07/z+O8dzR3sYFvod0TeOIKNRouDncLrA96i\nca3GxTjbakD/TrMLPYtSqVQ81/1Nlm/+yDRdzvbw37gRH82Ip97Olzh5e1bh5d4T8atSHyf7grUF\n91q3bh0A3327gueee46xY8eyePFifvvtNzp16lRgfbVKTYPKgfTpMoRfdi3j7JUj2Nk6ENSm8Hnv\nDIqBmwkxRN6IIOr6WVIzk3lz0KwC61UqVw2N2saU3AC4OrpTzbsWObnZBfbJpetniU+5SXzKTULP\n7gTgevwVUBSGdnv9H//mkth1bBNaXQ7X4qLyLQ+LCC40GStNtm7dyptvvklUVBTVqlVj/vz5PPNM\nyZpiC6M36Pl193IOnNpGWMQu3hg00wz9nYxNbLEJV/MNqZHn2u3LhQ81oxg/swYlf8e6nt2CiLkU\nS4MGDfj+++9p3bo1ACOD/q/Ecd5r/fr1ACxYsID/+7//Y/78+bz33nts2fQnL40wTjweHx/P4MGB\npKam0rRpU5KTk7l48SJDhw4lPDzcKk2IwUc3mpLdHUfWs/fkFhrWbEmrel3ueyFMSeXk5NCtWzdC\nQkJMy7Zs2cK+ffto1qwZABkZGbz77ruAceJ4T09P3nvvPRYsWMBrr71GrVq1Cmz3ZuJVvFy9SzR3\n64PSaGzueyJnbq5OHvTv8OJDKUuUbqUmGYtcZ93+Ds3qDOfTn49x684VQN/88SH/N/QTalSs8y/v\nLOifqrN9vKoy4dlPWLX1v6ZmyIiYY8QmXMWvcv5+Ww96wDTc6f2dN5q0k5OxCfLfWqDzpuU5dvEA\nOdqsAkN96PXGmQqibkSQmZN/fsDUjKQCZ402Gls6NHkKJ3sXqnr7Uc27Fu7OXvf9IYq6cbbAMhUq\nalaq+49xl1RWTgYqldo0PZZf5fp0adaXxrUCLVpuSYWGhtKvXz90OmOyGxMTw9ChQ/Hw8KBHj4LN\n1yURffMCB+/M4Xrl5nl++PMzRvV694FrLOOSrqNSqangUbDPS0C9zly8Mzenm5MnVSr4UqWCL76V\nCu+3OP6ZuRgUA1nZ6aRlpfD9qm/5dsXXxMbEAXD27Fl69OjBiRMnijXC+YPKq4nMu7/3+xUSEkJq\naiotW7bk8OHDpKen4+3tzdGjR4mPj6dCheJ1Yi+JmhXrUKlcdWITYgDQ5mZz7OIBKpevabFkbMWK\nFYSEhFC1alVGjRrFzp07OXjwIO+++y7bt28H4Nq1a+Tk5FC1alVTjeP69es5cOAAkZGRpmRMURTi\nU25y6dppNuz7Hr/KDXilz/uFzlIhRFlXZj/VB0//Rfj5vbg7edKibkca+7Uu0fYc7Bx5tc8kPl37\nLlnaTKpU8KW6j/+/v7EYnOxdGN1vMv87uJodR9YzuPOrBRKxoujbty/h4eEMGzaMxo0bc+SIsfN6\nnz59/vW9KpWKFnU6FPqaRmNDXPKNAokYQOSNCJr7tyuwfFDnVx447v4dXqS5fwcuXT/NpetnSE1P\npHurwbSs2/GBt1EcQ7u+xhPN+3Eu5hg1K9Z9aGfB/yYtLY2dO3eSlZVF27ZtqVmzZr7Xv/76a3Q6\nHS+++CLLli3j/fff57PPPmPJkiVmT8b8KtdnYOeX+W3PNwCcuHSI2Sv/w8ThC7Ev5GTjfMwJMjOy\nuBoXyYUbx4iJu0Tbht0Z9uTYAus2q90OD5dyVClf84GbgdQqNc6Objg7urFy6Voiz8fy7bffMnz4\ncHr37k1wcDC//PKLqcbFnAYMGMCGDRuYMGEC3333HadPnzYtz2NnZwdAamoqWVlZJCYmkptrnD+1\npCO8F1eTWoE08mvFyUshbAv9mRsJxqsb/as2KnT9/x1cTVzSdepWb0qDmi3xdC1f5DIvXjQ2Cb/6\n6qv06tWLRo0acfDgQdNygMqVK2Nra8u1a9eYP38+np6ehIWFAZg+87/t+YYj5/eRfs+k92euhPPr\nnm8Y2vW1IsclRGlXZpOxG/HRXLpmPChWM9OPqbdnFSYM/YQ/Qn6iWe12hdboaHNz0GhsMBgMfLdl\nHk8071esUfzVag39Ooygae02xap9u9ekSZO4ePEiP/74I0eOHEGj0fDJJ5+Y5Qe6VuUGxCVdx9XR\nHb/K9fGr0oBalRtQpYJvibdto7HFr3I9/CrXo0erwSXeXlF4e1bG28zDoZTE+fPn6dGjBzExxloM\ne3t7Vq5cydChQ03rpKUZp/Fq27Yt9vb2tG/fns8++4zU1FSLxNS5WR/iU26y5/j/AIhPuYmqkH5q\nycnJfPHrh6j/NjTK8YsHGNzlVWxt7PItd7R3+terY/9Jerrx5KBly5Y4ODjQqFEjgoODTcvNbcSI\nEVy6dIk5c+Zw+vRpVCoVU6ZM4fnn707A3r59e2rUqMHFixepWLEi2dnZ6PV6evfujYeHZYd/+Sdq\nlZpm/u1oWrst1+Mvc+namfuefJyIPMStxGscv2ScC7NqBT8a+gbQofFTDzwfYvXqxrEXVq9ejaur\nK3/+aaxdzauxzNXlkqtkMXnWu6z88Ts++Xw28deNn98xY8aY+pbl5GbnS8TA2KTXoXHPIu4BIcqG\nMpuM3Tvga2GXoReXj1dVXupV+FV1YOx7ERaxC2+PypyLOU7ElaMM6DiKLs37Fqu8kiZiYDzz/uGH\nH/jwww+JjY2lTp06VKxYscTbBejW8mm6tRxABY/Kj9yl86XJsGHDiImJoV69elSpUoWdO3fy4osv\n0rZtW9MPXLt27Vi3bh0TJ04kNDSUzZs3A8ZEwFKe7jiKpLTbnIwMRaVSY6uxK7DOyJEjqf5E/s+G\nQW/At1J9MrPTzT6xcceOHVm7di39+vWjTZs2pj5dHToUXsNbUiqVilmzZjF27Fiio6OpUaNGge+X\ns7MzW7ZsYciQIZw9a2x+DwoKYtWqVRaJqahUKhVVK/jd92KU1IxkbiVey7fs2u0ort2OIrBB13/c\ntt6gJz0zhdTMZPoN6sXSpUuJiIhgwoQJgPH4NOqtIby/9Pm7tewO0OeVQFKiDdw+pyMoKIixY+/W\novpWrEvImR042jtTs2Jd/CrXo23D7hbrUC+EtT0SydiDfEEVRSEpKQlFUfDyun8/pn+So81i7/E/\nyMxJJzHV2F/FoBj+tW/Ww+Lv74+/v3mbVktT7dGjKjU1lWPHjmFjY8Phw4dxcXHhiSeeYPfu3YSE\nhJiSsTfeeIO9e/fy+++/8/33xonDu3btygcffGCx2NRqDaN6vUfElaNkZKcV+N6kp6fzvy2b6VMp\nkMC2rXF1duf3H7dx4K9jrF/3mtkTMYBFixZx9uxZTp48aapJnDx5Mt27dzd7WfeqWLHiP57kNGjQ\ngFOnThEbG4u9vT3lyxe9mc9aXJzcmDj8My5cO8nZy0e4dP0MeoOOil7VTEN83OvEpUNsCVlDamYy\nmVlpKHfG1G/XqAf79+9n+vTp7N+/Hy8vLz766CMMzmkcvbqjwHa69ujCi/+dUGB5k9pt8K1cD2/P\nKiW+slqIssBiydjixYtZsGABsbGxNGzYkM8++8ysZ64pmYmmx27O/3zAj42NZdiwYezZswcw1iT8\n/PPPVKlSpUhl3kiIKfBjFFC3c7FrxYQAY5OkWq1Gp9MRGRmJr68v169fB+5ejAFgY2PDr7/+yvbt\n27l48SI1atQgKCgIGxvLnlNp1Jr7dvjOzc1Fn2tg63dHWDVvG66urvzwyTZyMnNNfabMrUKFCoSG\nhvLnn39y+/ZtmjdvTsuWLS1SVlGp1eoiH1dKA7VKTZUKNalSoSZPNO9HVk4m52LuP9eW3qA3XRhw\nr7TMZLy8vFi0aFG+8a7yBmFWq9S4Onng6uyBm5PnfWvqnB1ccXZwNcNfJkTZYJGj+M8//8z48eNZ\nunQp7du356uvviIoKIiIiAiqVq367xv4F4qi5K8Z+4d5KQ0GA08//TShoaHY2tqiUqk4cOAA/fr1\nIywsDI3mwecX9K1Ul+kvLSfkzA6OnN+Hj2cVhjwxRprvSig6OpqvvvqKmzdv0rBhQ8aNG2e6MvRx\nYG9vz/PPP8+qVato1qwZarUag8GAn58fTzyRfx5VtVpNz5496dmzdPSd8fDwICAggPDwcBo3bky5\ncuU4duwYrq6utGnTxmLlOjg40L9/f4tt/3HnaO9Ec//7N3/fO16ZChXOjm64Ornj6Vr4VaO1qzZi\nzqsrcXZ0lZouIQqjWEBgYKAyZsyYfMv8/f2VDz74IN+y5ORk060oDAaDcjUuUjlzOVwJObNDMRgM\n91333LlzCqC4u7srt27dUm7fvq14eXkpgHLy5MkilfuoOHz4sHL48GFrh6EoivH/k/f/yLsFBgYq\nWVlZ1g7N7P5pv2dkZCgjR45UNBqNAiitW7dWLl68aNF4VqxYodSpU0fx8PBQunTpopw9e7ZY24mM\njFT8/f1N/z83Nzdl69atZo62+ErT5/1RkZ2TqVyNi1SS0xMUnV5X6Dplcb/n5uYq3377rfL2228r\nH3/8sRIXF2ftkIqsLO73R0Fx85k8Zq8Zy83N5ciRIwUuMe/RowcHDx40Sxl5nVF5gKF7cnJyAGMH\nW09PT1QqFa6uriQmJppeE9YzceJEEhMT6dy5M0OHDmXu3LmEhoayfPly3nzzTWuH99A4OTnx/fff\n8/XXX6PVanF2Lv60VA9i9erVjBw50vR89+7ddO7cmRMnTlCpUtHmw/Pz8+PkyZOEhISQnZ1NQEBA\nmeovJYrO3s6xVM5MURI6nY5+/fqxdetW07IvvviCAwcOWHT8OiHAAs2U8fHx6PV6fHzyTyni4+PD\nzp077/u+kNBDpvnhzEmr1eLj48ONGzeoW7cuarWa6OhoypUrR3Z2tqlfw+OoNPztx48fB+Dll1+m\nfv36DBgwgC+++IJ9+/bRtm1bK0dnGaVhv+cNtjl69Gj69u3L5MmTOXnyJHPnzmXEiBHF2qaLiwsu\nLi5cuXKFK1eumDFa8ygN+720Sk5OZt68eYSHh2NnZ0efPn149dVXzdIfsazs940bN7J161Y8PDwY\nOnQoe/fuJSIiglGjRvHJJ59YO7wiKyv7/VFR0ovnHvnGezs7Oz755BO8vLy4fPkykZGReHp6Mn/+\nfItP4iv+XV7Svnr1asLCwti2bVu+5UWhKApr1qxh6NCh9O/fnxkzZlhsDK6yLm+/dOnShYoVK9Ki\nRQsg/2S34vGg0+kYN24cO3bsIDk5mbi4OL777jsWLVpk7dAeqkuXLgHw7LPP8sorr5iuUo6MjLRm\nWOJxYd5WU0XRarWKjY2N8uuvv+ZbPnbsWKVLly75lpW0jbUokpOTla1btypbtmxRkpKSLF5eaVaa\n+hQcOHBAsbW1zddnrGbNmkpCQkKRtzVr1qx82+FO36ucnBwLRF50pWm/Dxw4UAGUhg0bKuPGjVOc\nnZ0VQFm3bp21QzO70rTfS6MdO3YogFKpUiXlzJkzyubNmxVAsbGxUbKzs4u93bK23z/66CMFUFq1\naqUcO3ZMGTt2rAIoHTp0sHZoRVLW9vujoqT5jNlrxmxtbWnZsqVpHrI827dvt+jglP/G3d2dp556\niqCgIKuOiC3ya9euHfv27WPAgAEEBgby8ssvc+jQIby8ijY+lcFgYO7cuQB89913hIaGUrFiRcLC\nwggODrZE6GXa559/jp+fH2fOnGHRokVkZGQwcuRIBg0aZO3QxEOWmGgcJqhx48Y0aNCAp556CgcH\nB3Q6nWnWh8fBSy+9RKVKlTh8+DDNmzfnq6++QqVSWXQcPyHyWGRoiwkTJjBixAhatWpF+/btWbJk\nCbGxsYwZM8Ys2/9tzzdcjj2Pm7Mn3QMG3neCYUv5448/2L9/P66urgwbNgxf35JPDfQ4CwwM5Pff\nfy/RNjIzM8nMzEStVvPCCy9gY2NDmzZt2LBhA3FxcWaK9NFRtWpVjh49ys8//0xcXBzNmjWjd+/e\nMkzLY6h58+ao1Wr++usvXnrpJaKjo8nOzqZmzZqUK1cu37qKohAZGUlSUhJ169bFzc3NSlGbn4+P\nDwcOHGDChAmcOnWKihUr8sEHHxAUFGTRcvV6PTdu3MDJyanA/haPD4skY8888wyJiYnMmTOH2NhY\nGjVqxNatW6lWrZpZtn8jPpqYW8aJZzs2sewX5e/effddFixYYHo+b948tm/fTuvWJZuoXJSMi4sL\nfn5+REVF0a9fP+rVq2eaLqhJk6LPHfo4cHd3Z/To0dYOQ1hZ7dq1WbhwIePHjzfN7ODm5sbq1avz\nJecZGRkMHz6cTZs2Acbv3IoVKx6p2lRfX98SnxgWxdGjRxkyZAhRUVEADBw4kBUrVuDqKgPePm4s\n1oH/tddeIyoqiqysLA4fPmzWJsoHHfDV3EJCQliwYAF2dna88847dO/endTUVF566aWHFoO4vxUr\nVuDs7MzWrVtZuHAher2eqVOn0qxZs3zrnTx5kh49elCzZk06depkmplBiMfVuHHjOHToEB9//DGf\nffYZp06dol27dvnWmTBhAps2bcLBwYE6deqQnp7O8OHDTXNxiqJJSEggKCiIqKgo3N3d0Wg0rF+/\nntdee83aoQkrKDVXUy7dOItc3YNNn5Kace9USA8vGTtx4gQAgwcPZv78+WzcuBGAM2fOoNPpHloc\nonAdO3bk+PHjzJo1i0mTJrFt2zZmzpyZb52LFy/SsWNHtm/fTnR0NPv27aN79+4cOnTISlELUXzp\n6els3bqVTZs23bc5Pjg4mFatWlGhQgXatGnDgQMHCl0vMDCQiRMn8tZbb5nmQ73Xhg0bAOOYdOfO\nnWPgwIFotdp843KJB7dz507i4uJo3rw5cXFxnDp1CjDOYGOpqcRE6VVqJgo/e+UIiam38PH65+mS\ntLocsrSZgHESY2fHh1ed6+3tDcD+/fs5cuQIoaGhAHh5eRVpWiVhObVr12bKlCn3ff2rr74iNTWV\nnj17snDhQubOncsPP/zA/PnzWb9+/UOMVIiSOX36NL169eLq1auAsWlx3bp19OjRw7ROSEgIPXv2\nNJ0sxsfH8+STTxISEkLTpk2LVa6iGCcFNxgMANLPsJjyEi4PDw9sbW1NAyUbDAbTvhWPj1JTMwZw\nOzn2X9fJ30Tp8VDnOQsKCqJp06bExMQQEBDA2LFjAfjggw/kgFRG3Lp1C4BBgwZRv359hg0bBiCd\n/EWZYjAYGDJkCFevXqVu3boEBASQmppq6q+b5/PPP0en0/HCCy8QHR3N4MGDyc7O5ssvvyxymQMH\nDgSMY9PVqVOHDRs2YGdnZ/EO7o+qjh074ujoyK5du2jVqpUpOe7SpQv29vZWjk48bKUrGUv592TM\n07UCU0YsZtzgOQx78o2HENVdDg4O7Nixg+eff56aNWvSuHFjFi9ezIQJEx5qHKL48g54M2bMYObM\nmbz99tv5lgtRFty4cYNz587h6urKsWPHCAsLo2nTpqSkpOQbeT0+Ph6A/v37U716dfr06QMY+ysV\n1aeffsqAAQPIycnh0qVLuLq6snbtWurXr2+eP+oxU716ddasWYOzszNHjhwhNjaWxo0bs2rVKmuH\nJqyg1DRTAsQn3/zXdTRqDd6elfH2rGyRGBRFITMz875zA5YvX54ffvjBImULyxs/fjybN2/m4MGD\nTJs2DYB69eoV6FsmRGmWV3OSnZ3NrVu38PT0NNWI3Vur0rJlS3bs2MHbb79NWFiY6diVN+NCUTg5\nOfH7779z+fJlEhMTqVOnjkWu+lMUhdzc3Meiqa5nz57cuHGD9PR0NBoNrq6uqNVqsrOzi73NvHk0\nS7INkZ+dnR1qtWXrrkpVMvYgNWOWtHjxYiZPnkxycjLVqlVj2bJlUgX/iHFwcCA4OJiVK1dy4cIF\nqgR2FkgAACAASURBVFevzsiRIx+p8ZLEo69ChQoEBQWxdetWatWqhY2NDVqtlrp169KmTRvTelOm\nTGHnzp2Eh4eb5lfs2LEj77zzTrHL9vX1tdjYioqikJ2djZ2dHba2to9F9w8HBwezHn9kmj/zyvtM\nOjg4WPTzWGqSsRE936ZSuYJX8DwsP/30k6kPmEql4urVq/Tv35/Q0FCaN29utbiE+dnb28v4WqLM\nW716NS+++CKbN29Gq9USEBDAzz//nK9mzMXFhX379rFmzRquXLlC7dq1GTp0KHZ2dlaM/P5yc3Ox\ns7OTC6JEqaFSqbCzs0Or1Vq0L1+p6TMWUK8zVSpYbyT7b775BoC5c+ei0+kYPnw4ubm5rFy50mox\nWYOiKHzzzTe0atWK+vXrM3r0aJk8WohSyNPTk02bNpGamkpCQgJhYWH4+fkVWM/BwYFRo0YxY8YM\nXnjhhVKbiIHxwgRLNwcJUVQajcZ0FbGllJqaMWvLyMgAjKO1q9VqGjVqlG+5pRw6dIiIiAiqVKlC\nt27dsLGx7r/ks88+y3dBwrlz5zhx4gT79u0r1QdxIR5Xj9po7Y9D06QQf1fmkrFFv00hIysVNydP\nnn3yP5Rz8zHLdjt16kRYWBgjRoyga9eupql0OnfubJbt/52iKPznP/9h6dKlpmVdunThf//7330v\nHrA0RVFMHdk///xzWrRowTPPPENYWBjbt2+nd+/eVolLCCGEeJSVufrgWwlXiU2I4fzVE2jU5ssl\nZ8yYQdeuXUlISGDdunVkZ2czZswYnnvuObOVca/Vq1ezdOlSHBwceOaZZyhfvjy7d+/mww8/tEh5\nDyInJ4fk5GQAXn/9dTp06ECnTp0AuHnz3690FUIIIUTRlalkTG/Qk56VCoAKFa5OHmbbtpOTE3/9\n9Rd//fUX33//PYcOHWLp0qUWqzLft28fAFOnTuXnn382XXK+d+9ei5T3IBwcHPD39weMg6JOmTLF\nNGluXrOtEEIIy6latWq+C4wiIyP5//buPKyqao8b+HdvZpRRAUEcQEVxxsjpeEBKQXA251LUrmOp\n2bXQul4hM8ebdZ26aeFAJb4OpaWkJiLOQuoVcwzT1wFCBAQUEM56//BlX0+AMpzDOeD38zzneThr\nr73276xD9mPttdeSZRnffvutAaMifTOaZCz64BdYvWM+vjuwusw62Q8zIfBkEl1dK1uYyLp94sbE\nxAS9e/fGuHHjtB4P14fiW5Hnz59HUVERzp49q1VuKOvXr4e1tTV2796NhQsXoqCgAO+88w66dOli\n0LiIiGq6jRs3QpblUl8zZswAAMiy/NxBgKNHjyIiIgI5OTnVETZVA6OZM3b0fAwAwNmhYZl1tLZC\nqsYNwvVh7NixWL16NbZs2YItW7Yo5YZecsHPzw+//vorvvnmG+Tk5ECtVmPQoEEGjYmIqLaQJAkR\nERElnnxt2bIlgCcjYc9b2uPIkSP46KOPMHHiRNStW1dvsVL1MZpkrFh6Vio0miLIpYx6ZeX+b881\n2zqO1RmWznXs2BG7d+/GxIkTcfPmTTg4OGDBggUYPXq0oUNDy5YtuSI9EZGeBAYGonPnzqUeMzMz\ne+75+lpm4eHDh7C2ttZL2/RsRnObsnj+V5GmEBk590qt07rpS/joza8we+RyDFCNqc7w9CIwMBA3\nbtxAbm4u0tPTlUVniYjoxfTXOWN/NW/ePHzwwQdKXVmWYWJigmPHjil19u7dC39/f9StWxe2trYI\nCQnB+fPntdp54403YGNjg+vXr6Nfv36ws7PjXRADMpqRMSc7V2Q/fPIk373MlFKXrDCRTWBftx7s\n69ar7vD0in+JEBG9OLKyskps1l6v3pP/rz1vvtjw4cNx7do1bN26FatWrYK9/ZOBjOLbnJs3b8a4\ncePQp08fLFmyBHl5efjPf/4DtVqNxMRENGvWTLlOUVERAgMDoVKpsHz58nKNypF+GE0yVt++AZLv\nXgQApGXeRcvGHQwcERERkW4JIRAUFKRVJkkSsrOzy/WHebt27dCxY0ds3boVgwYNgpubm3IsJycH\n06dPx6RJk7B27VqlfMKECfDy8sKCBQuwYcMGpTw/Px9Dhw7FokWLqv7BqEqMJhnr3jYQbTxehpN9\nAzjZuz3/BCIieqHtOfEdYk5Glyjv02UEQrqOqnJ9fZAkCStXrkSrVq20yq2srKrcdkxMDLKzszFy\n5EitkTchBFQqFWJjY0ucM3Xq1Cpfl6rOaJIxTzdvQ4dARESkd76+vmVO4K+Kq1evQgiBgICAEsck\nSSqx0bWpqSkaN26s8zio4owmGSsPIQT3LSMiIiqFRqOBJEmIioqCi0vJedd/3YT9r8kZGU6NScY0\nQoM5X7yBOpY2sKljj5lDP9H5oq9ERFRzhHQdVaHbixWtb6zKGpQonpzv5OSEV155pTpDoioymqUt\nnif3UTbyCh4i/UEqUtP/LxMxIiJ6IRXv1JKRkaFVHhwcjLp16+KTTz5BYWFhifPu3St92SgyPJ2O\njGVkZGD+/PnYv38/bty4gfr166Nfv374+OOP4ehYsUVa/3pLMvvh06vv1+wFX4mI6MWkiwVbfX19\nIYRAWFgYRowYAXNzc/Tu3RuOjo5Yu3YtQkND4ePjg1GjRsHZ2Rk3btxATEwMfHx88OWXX+rgU5Cu\n6TQZu3PnDu7cuYPly5fD29sbt2/fxtSpUzF69GjExMQ89/xjSftw+lIc7mXeRUjXUejWtrdyLKsW\nbYVEREQvpufNe5YkqUSdv77v0qULFi5ciC+++AI///wzNBoN4uPj0b17d4wePRru7u5YvHgxli9f\njvz8fDRs2BA9evTAxIkTKxQLVR+dJmNt2rTBtm3blPeenp5YtmwZ+vfvj5ycnOfuoZWZk47fb18A\n8GStsafVpn0piYjoxRMaGorQ0NBn1rl586bW+2bNmqGoqKhEvblz52Lu3LmltuHn5wc/P79nXmfz\n5s3PiZaqk97njGVlZcHCwqJci9k52bsqP9/LStE6Vrw6PwDYMRkjqjaZmZk4ceIErly5orc98YiI\nXmR6fZoyMzMT//znPzFp0qQSj9SWpr7d/5KxtCztkbFXXxqM7u0CkZWTAQszS53HSkQlRUdHY8KE\nCXj48CEAoG/fvoiOjlYmEBMRUdVJohx/6s6bNw8LFy4suxFJQmxsrNawaG5uLvr06QNzc3Ps3bsX\n5ubmJc7LyspSfr569SryHj/E1lOfAgBMZXOM6voe72kTGci1a9cwZswYFBYWwsPDA3fv3kVeXh6G\nDBlS5u0Roqpo0qQJnJycDB0GUQlpaWm4ceNGmcdbtGih/GxnZ1fh9ss1MjZr1iyMGTPmmXWeXsU3\nNzcXwcHBMDExwe7du0tNxEpjYWoFMxMLPC7KR6GmAPmFD2Fpxr/AiQzh+PHjKCwsRK9evfDJJ5/g\nwoULGD9+PA4dOsRkjIhIh8qVjDk6OpZ7aYqcnBwEBwdDkiTs2bOnXHPFgCeP6gKAves/UNfKHvXs\nnGFuytWB9SEhIQHA//qcqkdN6/dDhw4BAGxsbODr64uCggIAgLm5eY35DEDN6/faojL9npeXp69w\niKqk+N/Bsjx9p68ydDqBPycnB71790ZmZiYiIyORnZ2N1NRUpKam4vHjx+Vqo4V7O7jWa8REjMjA\n+vbtC3Nzc+zcuRPNmjVTVvR+7bXXDBwZEVHtotNkLDExEadOncJvv/0GLy8vuLm5wdXVFW5ubjh+\n/Hil29UIDYo0JR/tJSL98fb2RnR0NGxtbXH9+nUUFBRg6NChWLZsmaFDIyKqVXT6NKW/v3+p66FU\nVVrmXXyy6W3UtbJFkwZemDTgQ51fg4hKGjRoEO7cuYOrV6/C0dFRa24oERHpRo3YKPxB7n0ICGQ/\nysLDvBxDh0P0QqlTpw46duxo6DCIiGoto94o/FF+LoQQXH2fiIiIai2jHBlbteOfuH3vD+Q+eoBF\nkzZxX0oiIiKqtYxyZCzn0QPkPnoAAEjLSuHIGBEREdVaRpmMOdk1UH5Oy7yLvIKHynvuS0lERES1\niVEmY/Wf3jA88y5GvjoN/3rr/yB8/Jdo36yrASMjIiKqnI0bN0KWZeVlZmYGd3d3jB8/Hnfu3AEA\nfPXVV1p1yno9vbNNUlIShg8fDg8PD1hZWaFhw4YICAjAggULDPVRqYKMcs6Yk33JDcPNTM3gaOts\nqJCIiIiqTJIkREREwNPTE3l5eThx4gQiIyNx9OhRJCUlISAgAFFRUUp9jUaDsWPHIjAwEGPHjlXK\nZfnJWMqRI0fQq1cvNGrUCG+++Sbc3Nxw+/ZtJCQkYOnSpZg3b161f0aqOKNMxurbPUnGZEnG48IC\nA0dDRESkO4GBgejcuTMAYMKECahXrx6WLl2KXbt2YejQofD09FTqFhUVYezYsfDy8sLo0aNLtLVg\nwQLY29sjMTERtra2WsfS0tL0+0FIZ4wyGWvawAvzQtfC0cYJJiZGGSIREZFOqNVqLFmyBL///nuF\nz01OTkabNm1KJGIA4OTkpIvwqBoY5ZwxczMLONm7MhEjIqJa7/r16wAAB4eKP6DWtGlTJCYmIikp\nSddhUTUy+mzncWEBNJoiWJhbGToUIiIyIuFfCXz0tf7a/+cEIPxNSeftZmVlIT09XZkz9tFHH8HK\nygr9+vWrcFthYWEIDg6Gj48PfH19oVarERAQgFdffVVrkj8ZN6NPxn77IxFf/bQEFmaW8G3pjxGv\nTjV0SERERJUihEBQUJBWmaenJ7799lu4ublVuL1evXohLi4OS5YswS+//IJTp05h+fLlsLe3x+ef\nf44xY8boKnTSI6O8Tfm04tX38x/nQUAYOBoiIqLKkyQJq1atwoEDB7B9+3b0798f6enpsLS0rHSb\n3bt3xw8//ICsrCycOXMGCxYsgBAC48ePR3x8vA6jJ30x6pExIQTu3PtDec/V94mIqFj4mxLC3zR0\nFBXn6+urPE05cOBA+Pv7Y9SoUbh8+TKsrCo/JcfExATt27dH+/bt0blzZwQFBeGbb76BWq3WVeik\nJ0Y7Mnb97mWEffE6jiXtU8rs6jgaMCIiIiLdkmUZixcvxq1bt7By5UqdtVuc7BUvJkvGzWiTMVtr\ne61tkACOjBERUe2jUqnQrVs3fPbZZygoqNjamgcPHoQQJafw/PTTTwAAb29vncRI+mW0tyntberD\nRDZFkaZQKbO1ZjJGREQ1V2mJEwDMnj0br732Gr7++mtMmTKl3O299dZbyM/Px+DBg+Ht7Y3CwkIk\nJiYiKioKLi4umD59uq5CJz0y2pExE9kE9Z7a/uitwRFo6NTUcAERERFVkSSVvlTGoEGD0Lx5cyxb\ntgwajabEOWWdt2LFCrz66quIiYnB7NmzMWvWLBw8eBDjxo3DqVOn4O7urvPPQLpntCNjAFDfrgH+\nzHxyvzuv4CFMTcwMHBEREVHlhIaGIjQ0tNRjkiThypUrJcpNTExQVFRUZpt9+vRBnz59dBYjGYbR\njowBQP3/vwq/i6M7NGUM7RIRERHVZEY9MtZfNQZD/CZAlk0MHQoRERGRXhh1MmZhVvlF8IiIiIhq\nAqO+TUlERERU2+k1GQsODoYsy9ixY0eFzxVCYNmyZWjSpAkcHBwQHByMmzdv6iFKIiIiIsPRWzK2\nfPlymJqalvk47vMsWbIE77//Pm7evInMzEzExMQgICAA2dnZOo6UiIiIyHD0koydPn0aK1euRGRk\nZJkL3D3Pp59+CgCIjIxEcnIyWrVqheTkZOzatUuXoRIREREZlM6TsezsbLz++utYt24d6tevX6k2\nhBDIyMgA8GQTVQ8PD7z88ssAgPv37+ssViIiIiJD03kyNnXqVISEhCAwMLDSbUiSBF9fXwBAUFAQ\nJk+ejO+++w4AlKSMiIiIqDaQRDnuI86bNw8LFy4suxFJQmxsLG7cuIGlS5ciMTER5ubmAJ7sSL9t\n2zYMGTKkxHlZWVnKz1evXtU6lpycjKlTp2qNhL355psV2rOLiIhqjiZNmsDJycnQYRCVkJaWhhs3\nbpR5vEWLFsrPdnZ2FW6/XMnY/fv3ce/evWfWadSoEaZNm4bNmzdrTdovKiqCLMvo3r07Dh8+rHXO\ns5Kx4uvGxsYiJycHbdu2xUsvvfTcD0RERDUTkzEyVkaRjJXX3bt3lblexdq2bYvPPvsMAwYMQNOm\nTbWOPZ2MVSZ4qpyEhAQAUG4FU/VgvxsG+90wKtPveXl5sLTkYt+1RVxcHAICAnDo0CH4+fnVuPaf\n9rzfzarmMzqdM+bq6orWrVtrvQDA3d29RCJGRET0oti4cSNkWVZeZmZmcHd3x/jx43Hnzh1Dh6c3\nlV3eqrLt7927FxEREXq9pj7ofTskfX8RRERENYEkSYiIiICnpyfy8vJw4sQJREZG4ujRo0hKSlLm\nWlP5+Pv749GjR1r9tmfPHqxZswbz5883YGQVp/dkrKioSN+XICIiqhECAwPRuXNnAMCECRNQr149\nLF26FLt27cLQoUMNHF3N89cEVoczr6oV96YkIiIyELVaDSEEfv/9d63y3bt3Y8CAAWjUqBEsLS3R\ntGlTvP/++8jPz1fq/Pjjj5BlGWfOnFHK9u3bB1mWERQUVOI6AQEBZcaxfft2yLKM2NjYEseioqIg\ny7LWQ3hXr17F8OHDUb9+fVhZWaFTp07Yvn17uT5zXFwc/P39UbduXdjb26N///64cOFCiXopKSmY\nPHmy0gceHh6YNGkScnNzlXaejmv8+PFYs2YNACi3g01MTHDz5k306NEDHTp0KDWeTp06oVu3buWK\nXV/0PjJGREREpbt+/ToAwMHBQas8MjISlpaWmDlzJuzs7HDixAmsWLECt27dwrfffgsAUKlUkCQJ\nhw8fho+PDwDg8OHDkGUZx48fh0ajgSzLKCgoQEJCAsLCwsqMo2/fvrCxsUF0dHSJpC06OhoNGzZU\nJslfvHgRKpUKrq6uCAsLQ926dbFz504MGzYMUVFRGD16dJnXiY2NRVBQEDw9PREREYG8vDysXr0a\nKpUKCQkJaN68OQAgNTUVL7/8Mu7fv4/JkyejdevWuHPnDnbu3In09HTUqVMHgPZUqClTpuDOnTs4\ncOAAvvnmG2WUzMnJCaGhoZgyZQqSkpLQtm1b5ZxLly7h7NmzShJnMMKAMjMzlRdVn9OnT4vTp08b\nOowXDvvdMNjvhlGZfn/06JHO40hNTRVDhgwRjo6Owt3dXcyfP18UFhbq/DrPs2HDBiHLsti3b5+4\nd++euHXrlti2bZtwdnYW1tbW4vbt21r1S+uLTz75RJiYmIhbt24pZe3atRNDhgxR3vv5+YmRI0cK\nWZbFqVOnhBBCHD58WEiSJA4cOPDMGN944w3h5OQkioqKlLLMzExhYWEh3n33XaWsd+/eol27diI/\nP1/r/MDAQNGoUSPl/aFDh4QsyyIuLk4p8/HxEU5OTiIjI0Mpu3r1qjA3NxfDhg1TykJDQ4Wpqekz\nf4dKa//tt98WsiyXqJuZmSmsrKxEWFiYVvncuXOFhYWFSE9PL/M6Qjz/d7Oq+QxvUxIRUa2Un5+P\nwMBA7NixA/fv38etW7cQERGBuXPnGiQeIQSCgoLg5OSERo0aYdiwYbCxscGuXbvg5uamVbd4GQUh\nBB48eID09HSoVCpoNBr8+uuvSj21Wo0jR44AAAoKCnDq1CmMGDECnp6eyu27+Ph4mJmZPfdW3MiR\nI5Geno4DBw4oZTt27MDjx48xYsQIAEBGRgZ++eUXDBs2DNnZ2UhPT1deQUFBuH37dqnrhgJPbjue\nPXsW48aNg729vVLevHlzDBgwADExMRBCQAiB77//HiEhITpbksbOzg4DBgxQRhWLfffddwgJCYGj\no6NOrlNZTMaIiKhWOnjwIM6dOwd3d3dcunQJO3fuBAB8/vnnKCwsrPZ4JEnCqlWrcODAAWzfvh39\n+/dHenp6qetXXbhwASEhIcq8KicnJ/Ts2ROSJGmtaaVWq3Hv3j1cvHgRJ0+eREFBAdRqNfz8/JRk\n7MiRI/Dx8YG1tfUz4wsKCoK9vT22bNmilG3ZsgVNmzZVHjq4du0ahBAIDw+Hk5OT1mv27NkAgD//\n/LPU9osXTfXy8ipxzNvbG7m5ubh37x7S0tLw4MEDtGnT5pnxVlRoaChu376tzIs7fPgwbty4gTFj\nxuj0OpXBOWNERFQrFW+n17FjR7Rs2RIeHh4wNTVFQUEBHj58CFtb22qPydfXV0lsBg4cCH9/f4wa\nNQqXL1+GlZUVAODBgwfo2bMnbGxssGjRIjRr1gxWVla4ffs2QkNDodFolPb8/PwghMDhw4eRnp4O\nb29v1KtXD2q1GrNnz0ZRURGOHTuGiRMnPjc2U1NTDBkyBNu3b8eXX36JrKwsxMbG4r333lPqFF97\n1qxZCAkJKbWdp+dkGZOgoCA4OzsjKioKAQEBiIqKgoODA/r162fo0JiMERFR7dSpUydIkoSffvoJ\nEyZMQHJyMgoLC+Hl5WWQROyvZFnG4sWLoVarsXLlSrz//vsAnkxyv3//Pnbu3IkePXoo9Z++fVjM\nzc0NHh4eiIuLQ0ZGhjLJ3s/PDxkZGYiKisKDBw/KvUL9yJEj8fXXXyMmJga3b99GUVGRcosSADw9\nPQE8SdxeeeWVCn3eJk2aAAAuX75c4tjFixdRp04d1K9fHwBga2uLpKSkCrUPPHttU1mW8frrr2P9\n+vX49NNPsX37dgwfPhxmZmYVvo6u8TYlERHVSt7e3li2bBmEEIiMjERcXBzs7e2xefNmQ4emUKlU\n6NatGz777DMUFBQAAExMTCCE0BoBE0LgX//6V6nJhlqtRlxcHI4fP64kXZ6ennB1dcXixYshyzLU\nanW54gkICICzszO2bNmCrVu3olWrVmjfvr1y3MnJCQEBAVi3bl2pOwc8ax/rBg0aoFOnTti0aRMy\nMzOV8t9//x27d+9GSEgIJEmCJEkYPHgw9u7di9OnT5cr7mLFT1k+fSv3aaGhoXjw4AEmT56MzMxM\no7hFCXBkjIiIarG///3vUKlUiIuLg7W1NQYPHgx3d3eDxCLKWJB09uzZeO211/D1119jypQpUKlU\nqFevHsaOHYvp06fDzMwM27ZtU9bX+iu1Wo1NmzZBkiStETC1Wo3o6Gi0bdtWa8L8s8iyjKFDhyIy\nMhJ5eXmlrmS/du1a9OjRA+3bt8fEiRPRrFkz/Pnnnzh58iQuXryIK1eulPmZly9fjqCgIHTt2hUT\nJ07Eo0ePsGbNGlhbW+Pjjz9W6i1atAj79++Hv7+/srRFSkoKdu7cie+//x6NGzcutX1fX18IIfDW\nW28hODgYpqamGDBggHILuF27dujQoQO2bt0KT09PdO/evVz9om8cGSMiolqta9euCAsLw/Tp0w2W\niAFl30IbNGgQmjdvjmXLlkGj0cDBwQF79uxB48aNER4ejkWLFqFDhw7YtGlTqeer1WpIkgRPT0+t\npzKLy/39/SsU58iRI/Ho0SMA0LpFWczLywsJCQkYOHAgNm/ejLfffhtr165FUVGRVkJV2mfu2bMn\n9u/fjwYNGmD+/PlYvnw5fH19ER8fr6wxBjwZRTt16hRGjRqFLVu2YMaMGdiwYQO6du2q3Mosrf0h\nQ4Zg1qxZOHjwIEJDQzF69GikpaVp1QkNDQUAoxkVAwBJlJWqV4Oq7nJOlZOQkAAAOntkmMqH/W4Y\n7HfDqEy/5+XllfpkIZEurV69GjNmzMDly5e1EsBned7vZlXzGY6MERER0Qtj/fr16NatW7kTserA\nOWNERERUqz18+BA//PAD4uLi8N///rfc+2hWFyZjREREVKulpaXh9ddfh4ODA8LCwjBo0CBDh6SF\nyRgRERHVak2aNNFaKsTYcM4YERERkQExGSMiIiIyICZjRERERAbEZIyIiIyGAZe+JCpVdfxOMhkj\nIiKjYG5ujry8PBQVFRk6FCIATxKxvLw8mJub6/U6fJqSiIiMgizLsLS0REFBAR4/fmzocGqk7Oxs\nAICNjY2BI6k9LCwsIMv6HbtiMkZEREZDkiRYWFgYOowaKykpCQC3/6ppeJuSiIiIyID0koydOnUK\ngYGBsLGxga2tLXr06IH79+/r41JERERENZrOb1OePHkSffr0QVhYGD7//HOYmZkhKSkJZmZmur4U\nERERUY2n82Ts3XffxfTp0zFnzhylzJh2RiciIiIyJjq9TZmWlobjx4/DxcUFarUaLi4u8PPzw8GD\nB3V5GSIiIqJaQ6fJWHJyMgAgPDwcf/vb37Bv3z6o1WoEBQXh/PnzurwUERERUa0giXIsLTtv3jws\nXLiw7EYkCbGxsTAzM4NKpcKHH36IBQsWKMe7d+8OHx8frF69Wuu8rKysKoROREREZFzs7OwqfE65\n5ozNmjULY8aMeWadxo0bIyUlBQDg7e2tdax169a4efNmhYMjIiIiqu3KlYw5OjrC0dHxufWaNm0K\nNzc3XL58Wav8ypUraN++feUiJCIiIqrFdP405XvvvYfw8HC0a9cOPj4+iI6OxsmTJ7FmzZoSdSsz\nlEdERERUm+g8GZs5cyYKCgowe/ZspKeno02bNoiJiUHbtm11fSkiIiKiGq9cE/iJiIiISD8Mtjfl\nmjVr4OnpCSsrK/j6+uLIkSOGCqVWio+Px8CBA+Hu7g5ZlrFp06YSdcLDw9GwYUNYW1sjICAAv/32\nmwEirV0WLVqEzp07w87ODs7OzhgwYAAuXLhQoh77XrfWrFmDDh06wM7ODnZ2dujevTv27NmjVYd9\nrl+LFi2CLMuYMWOGVjn7XfciIiIgy7LWy83NTasO+10/UlJSMG7cODg7O8PKygpt27ZFfHy8Vp3K\n9L1BkrHo6Gi88847+Mc//oGzZ8+ie/fuCA4Oxq1btwwRTq2Uk5ODdu3a4d///jesra1LHF+yZAlW\nrFiB1atXIyEhAc7Ozujduzdyc3MNEG3tcfjwYbz99ts4fvw4YmNjYWpqil69eiEzM1Opw77XSXXl\nHgAABVpJREFUvUaNGmHp0qU4c+YMEhMT8corr2DQoEFISkoCwD7XtxMnTmDdunXo0KGDVjn7XX9a\ntWqF1NRUpKSkICUlRWstT/a7fmRlZUGlUkGSJOzduxeXLl3CypUr4ezsrNSpdN8LA+jSpYuYPHmy\nVlmLFi3EBx98YIhwar26deuKjRs3apW5urqKRYsWKe8fPXokbGxsxJdfflnd4dVqOTk5wsTERPz4\n449KGfu+ejg6Oip9yj7Xn8zMTNGsWTNx6NAh0bNnTzF9+nTlGPtdP8LDw0W7du3KPM5+14+5c+eK\nHj16PLNOZfu+2kfGHj9+jMTERPTu3VurPDAwEMeOHavucF5I169fR0pKitZ3YGlpCT8/P34HOvbg\nwQNoNBo4ODgAYN9XB41Ggy1btiA3NxcqlYp9rmeTJk3C8OHD4e/vr1XOftev5ORkNGzYEJ6enhg1\nahSuX78OgP2uTz/88AO6dOmCkSNHwsXFpcRi9lXp+2pPxu7du4eioiK4uLholbu4uCiLxpJ+paSk\nQJIkfgfVYObMmejUqRO6desGgH2vT0lJSbCxsYGFhQWmTZuGnTt3onXr1uxzPVq3bh2Sk5Px8ccf\nlzjGftefrl27YsOGDfj555+xfv16pKSkQKVSISMjg/2uR8nJyVizZg2aNWuGffv24Z133sGcOXOU\npbuq0vc6X9qCiJ549913cezYMRw9ehSSJBk6nFqvVatWOHfuHLKysrBt2zaMHTsWcXFxhg6r1rpy\n5Qo+/PBDHD16FLJssGfBXkhBQUFa77t27QoPDw9s3LgRXbp0MVBUtZ9Go0Hnzp2V7SE7dOiAK1eu\nYPXq1Zg2bVqV2q72/4Lq168PExMTpKamapWnpqaiQYMG1R3OC6lBgwYQQvA70KNZs2YhOjoasbGx\naNKkiVLOvtcfU1NTeHp6wsfHBwsXLkTHjh2xYsUK9rmeHD9+HOnp6WjdujXMzMxgZmaGuLg4rF69\nGubm5qhXrx77vZpYW1ujTZs2uHr1Kn/f9cjV1bXEdo/e3t7Kdo9V6ftqT8bMzMzw0ksvYf/+/Vrl\n+/fvh0qlqu5wXkgeHh5o0KCB1neQl5eH+Ph4fgc6MHPmTCURa9GihdYx9n310Wg0yM/PZ5/ryeDB\ng3H+/HmcO3dOefn6+mLUqFE4d+4cvLy82O/VJC8vD5cuXYKbmxt/3/VIpVKV2O7x8uXLyh/cVer7\nKj5cUCnR0dHCwsJCrF+/Xly8eFHMmDFD2NjYiJs3bxoinFopJydHnD17Vpw5c0ZYW1uLBQsWiLNn\nzyp9vGTJEmFvby927Nghzp8/L0aMGCEaNmwocnJyDBx5zTZt2jRha2srYmNjRUpKivJ6ul/Z97o3\nZ84cER8fL/744w9x/vx5MWfOHGFiYiJ+/vlnIQT7vLr89WlK9rt+zJ49W8TFxYnr16+LEydOiL59\n+wo7Ozv++65np0+fFubm5mLhwoXi2rVrYuvWrcLOzk6sXbtWqVPZvjdIMiaEEGvXrhUeHh7C0tJS\n+Pr6iiNHjhgqlFrp0KFDQpIkIcuy1mv8+PFKnYiICOHm5iasrKxEz549xYULFwwYce1QWp/Lsiwi\nIiK06rHvdWvcuHGiadOmwtLSUri4uIjevXuL/fv3a9Vhn+tfQECAVjImBPtdH0aOHCkaNmwoLCws\nhLu7uxg6dKi4ePGiVh32u37s2bNHdOjQQVhZWYmWLVuKVatWlahTmb7ndkhEREREBsRHYIiIiIgM\niMkYERERkQExGSMiIiIyICZjRERERAbEZIyIiIjIgJiMERERERkQkzEiIiIiA2IyRkRERGRATMaI\niIiIDOj/AUI3lrwqQ+13AAAAAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -2986,7 +3088,7 @@ "metadata": { "anaconda-cloud": {}, "kernelspec": { - "display_name": "Python [default]", + "display_name": "Python 3", "language": "python", "name": "python3" }, @@ -3000,7 +3102,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.5.1" + "version": "3.5.2" } }, "nbformat": 4, diff --git a/07-Kalman-Filter-Math.ipynb b/07-Kalman-Filter-Math.ipynb index d0051ee..2255d45 100644 --- a/07-Kalman-Filter-Math.ipynb +++ b/07-Kalman-Filter-Math.ipynb @@ -785,15 +785,17 @@ "\n", "$$\\mathbf Q = \\int_0^{\\Delta t} \\mathbf F(t)\\mathbf{Q_c}\\mathbf F^\\mathsf{T}(t) dt$$\n", "\n", - "where $\\mathbf{Q_c}$ is the continuous noise. This gives us\n", + "where $\\mathbf{Q_c}$ is the continuous noise. The general reasoning should be clear. $\\mathbf F(t)\\mathbf{Q_c}\\mathbf F^\\mathsf{T}(t)$ is a projection of the continuous noise based on our process model $\\mathbf F(t)$ at the instant $t$. We want to know how much noise is added to the system over a discrete intervat $\\Delta t$, so we integrate this expression over the interval $[0, \\Delta t]$. \n", "\n", - "$$\\Phi = \\begin{bmatrix}1 & \\Delta t & {\\Delta t}^2/2 \\\\ 0 & 1 & \\Delta t\\\\ 0& 0& 1\\end{bmatrix}$$\n", + "We know the fundamental matrix for Newtonian systems is\n", "\n", - "for the fundamental matrix, and\n", + "$$F = \\begin{bmatrix}1 & \\Delta t & {\\Delta t}^2/2 \\\\ 0 & 1 & \\Delta t\\\\ 0& 0& 1\\end{bmatrix}$$\n", + "\n", + "We define the continuous noise as \n", "\n", "$$\\mathbf{Q_c} = \\begin{bmatrix}0&0&0\\\\0&0&0\\\\0&0&1\\end{bmatrix} \\Phi_s$$\n", "\n", - "for the continuous process noise matrix, where $\\Phi_s$ is the spectral density of the white noise.\n", + "where $\\Phi_s$ is the spectral density of the white noise. This can be derived, but is beyond the scope of this book. See any standard text on stoochastic processes for the details. In practice we often do not know the spectral density of the noise, and so this turns into an \"engineering\" factor - a number we experimentally tune until our filter performs as we expect. You can see that the matrix that $\\Phi_s$ is multiplied by effectively assigns the power spectral density to the acceleration term. This makes sense; we assume that the system has constant acceleration except for the variations caused by noise. The noise alters the acceleration.\n", "\n", "We could carry out these computations ourselves, but I prefer using SymPy to solve the equation.\n", "\n", @@ -1250,7 +1252,7 @@ "\n", "$$\\mathbf Q=\\begin{bmatrix}0&0&0\\\\0&0&0\\\\0&0&\\sigma^2\\end{bmatrix}$$\n", "\n", - "while not correct, is often a useful approximation. If you do this you will have to perform quite a few studies to guarantee that your filter works in a variety of situations. \n", + "while not correct, is often a useful approximation. If you do this for an important application you will have to perform quite a few studies to guarantee that your filter works in a variety of situations. \n", "\n", "If you do this, 'lower right term' means the most rapidly changing term for each variable. If the state is $x=\\begin{bmatrix}x & \\dot x & \\ddot{x} & y & \\dot{y} & \\ddot{y}\\end{bmatrix}^\\mathsf{T}$ Then Q will be 6x6; the elements for both $\\ddot{x}$ and $\\ddot{y}$ will have to be set to non-zero in $\\mathbf Q$." ] @@ -1756,7 +1758,7 @@ "metadata": { "anaconda-cloud": {}, "kernelspec": { - "display_name": "Python [default]", + "display_name": "Python 3", "language": "python", "name": "python3" }, @@ -1770,7 +1772,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.5.1" + "version": "3.5.2" } }, "nbformat": 4, diff --git a/10-Unscented-Kalman-Filter.ipynb b/10-Unscented-Kalman-Filter.ipynb index 6fcd231..80cd9a0 100644 --- a/10-Unscented-Kalman-Filter.ipynb +++ b/10-Unscented-Kalman-Filter.ipynb @@ -3451,7 +3451,7 @@ "metadata": { "anaconda-cloud": {}, "kernelspec": { - "display_name": "Python [default]", + "display_name": "Python 3", "language": "python", "name": "python3" }, @@ -3465,7 +3465,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.5.1" + "version": "3.5.2" } }, "nbformat": 4, diff --git a/11-Extended-Kalman-Filters.ipynb b/11-Extended-Kalman-Filters.ipynb index 917578f..7956feb 100644 --- a/11-Extended-Kalman-Filters.ipynb +++ b/11-Extended-Kalman-Filters.ipynb @@ -1869,7 +1869,7 @@ "metadata": { "anaconda-cloud": {}, "kernelspec": { - "display_name": "Python [default]", + "display_name": "Python 3", "language": "python", "name": "python3" }, @@ -1883,7 +1883,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.5.1" + "version": "3.5.2" } }, "nbformat": 4, diff --git a/Appendix-E-Ensemble-Kalman-Filters.ipynb b/Appendix-E-Ensemble-Kalman-Filters.ipynb index 4dbae79..04bfba9 100644 --- a/Appendix-E-Ensemble-Kalman-Filters.ipynb +++ b/Appendix-E-Ensemble-Kalman-Filters.ipynb @@ -767,7 +767,7 @@ "metadata": { "anaconda-cloud": {}, "kernelspec": { - "display_name": "Python [default]", + "display_name": "Python 3", "language": "python", "name": "python3" }, @@ -781,7 +781,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.5.1" + "version": "3.5.2" } }, "nbformat": 4, diff --git a/code/mkf_internal.py b/code/mkf_internal.py index 41c02c4..5c2cdb5 100644 --- a/code/mkf_internal.py +++ b/code/mkf_internal.py @@ -374,7 +374,7 @@ def plot_3_covariances(): plt.gca().grid(b=False) plt.gca().set_xticks([0,1,2,3,4]) plot_covariance_ellipse((2, 7), cov=P, facecolor='g', alpha=0.2, - title='|2 0|\n|0 2|', std=[1,2,3], axis_equal=False) + title='|2 0|\n|0 2|', std=[3], axis_equal=False) plt.ylim((0, 15)) plt.gca().set_aspect('equal', adjustable='box') @@ -385,7 +385,7 @@ def plot_3_covariances(): plt.ylim((0, 15)) plt.gca().set_aspect('equal', adjustable='box') plot_covariance_ellipse((2, 7), P, facecolor='g', alpha=0.2, - std=[1,2,3],axis_equal=False, title='|2 0|\n|0 6|') + std=[3],axis_equal=False, title='|2 0|\n|0 6|') plt.subplot(133) plt.gca().grid(b=False) @@ -394,8 +394,8 @@ def plot_3_covariances(): plt.ylim((0, 15)) plt.gca().set_aspect('equal', adjustable='box') plot_covariance_ellipse((2, 7), P, facecolor='g', alpha=0.2, - axis_equal=False,std=[1,2,3], - title='|2 1.2|\n|1.2 2|') + axis_equal=False,std=[3], + title='|2.0 1.2|\n|1.2 2.0|') plt.tight_layout() plt.show() @@ -450,15 +450,16 @@ def plot_track(ps, actual, zs, cov, std_scale=1, plt.xlim((0,count)) plt.title(title) + plt.show() if plot_P: - with interactive_plot(): - ax = plt.subplot(121) - ax.set_title("$\sigma^2_x$ (pos variance)") - plot_covariance(cov, (0, 0)) - ax = plt.subplot(122) - ax.set_title("$\sigma^2_\dot{x}$ (vel variance)") - plot_covariance(cov, (1, 1)) + ax = plt.subplot(121) + ax.set_title("$\sigma^2_x$ (pos variance)") + plot_covariance(cov, (0, 0)) + ax = plt.subplot(122) + ax.set_title("$\sigma^2_\dot{x}$ (vel variance)") + plot_covariance(cov, (1, 1)) + plt.show() def plot_covariance(P, index=(0, 0)): diff --git a/experiments/slam.py b/experiments/slam.py new file mode 100644 index 0000000..b0656a3 --- /dev/null +++ b/experiments/slam.py @@ -0,0 +1,179 @@ +# -*- coding: utf-8 -*- +""" +Created on Mon Oct 3 07:59:40 2016 + +@author: rlabbe +""" + +from filterpy.kalman import UnscentedKalmanFilter as UKF, MerweScaledSigmaPoints +from math import tan, sin, cos, sqrt, atan2 +import numpy as np +from numpy.random import randn +import matplotlib.pyplot as plt +from filterpy.stats import plot_covariance_ellipse + + + +def move(x, u, dt, wheelbase): + hdg = x[2] + vel = u[0] + steering_angle = u[1] + dist = vel * dt + + if abs(steering_angle) > 0.001: # is robot turning? + beta = (dist / wheelbase) * tan(steering_angle) + r = wheelbase / tan(steering_angle) # radius + + sinh, sinhb = sin(hdg), sin(hdg + beta) + cosh, coshb = cos(hdg), cos(hdg + beta) + return x + np.array([-r*sinh + r*sinhb, + r*cosh - r*coshb, beta]) + else: # moving in straight line + return x + np.array([dist*cos(hdg), dist*sin(hdg), 0]) + + +def fx(x, dt, u): + return move(x, u, dt, wheelbase) + + +def normalize_angle(x): + x = x % (2 * np.pi) # force in range [0, 2 pi) + if x > np.pi: # move to [-pi, pi) + x -= 2 * np.pi + return x + + +def residual_h(a, b): + y = a - b + # data in format [dist_1, bearing_1, dist_2, bearing_2,...] + for i in range(0, len(y), 2): + y[i + 1] = normalize_angle(y[i + 1]) + return y + + +def residual_x(a, b): + y = a - b + y[2] = normalize_angle(y[2]) + return y + + +def aa(x, y): + if y is not None: + return x % y + else: + return x + +def bb(x,y): + try: + return x % y + except: + return x + + + +def Hx(x, landmarks): + """ takes a state variable and returns the measurement + that would correspond to that state. """ + hx = [] + for lmark in landmarks: + px, py = lmark + dist = sqrt((px - x[0])**2 + (py - x[1])**2) + angle = atan2(py - x[1], px - x[0]) + hx.extend([dist, normalize_angle(angle - x[2])]) + return np.array(hx) + + +def state_mean(sigmas, Wm): + x = np.zeros(3) + + sum_sin = np.sum(np.dot(np.sin(sigmas[:, 2]), Wm)) + sum_cos = np.sum(np.dot(np.cos(sigmas[:, 2]), Wm)) + x[0] = np.sum(np.dot(sigmas[:, 0], Wm)) + x[1] = np.sum(np.dot(sigmas[:, 1], Wm)) + x[2] = atan2(sum_sin, sum_cos) + return x + + +def z_mean(sigmas, Wm): + z_count = sigmas.shape[1] + x = np.zeros(z_count) + + for z in range(0, z_count, 2): + sum_sin = np.sum(np.dot(np.sin(sigmas[:, z+1]), Wm)) + sum_cos = np.sum(np.dot(np.cos(sigmas[:, z+1]), Wm)) + + x[z] = np.sum(np.dot(sigmas[:,z], Wm)) + x[z+1] = atan2(sum_sin, sum_cos) + return x + + +dt = 1.0 +wheelbase = 0.5 + +def run_localization( + cmds, landmarks, sigma_vel, sigma_steer, sigma_range, + sigma_bearing, ellipse_step=1, step=10): + + plt.figure() + points = MerweScaledSigmaPoints(n=3, alpha=.00001, beta=2, kappa=0, + subtract=residual_x) + ukf = UKF(dim_x=3, dim_z=2*len(landmarks), fx=fx, hx=Hx, + dt=dt, points=points, x_mean_fn=state_mean, + z_mean_fn=z_mean, residual_x=residual_x, + residual_z=residual_h) + + ukf.x = np.array([2, 6, .3]) + ukf.P = np.diag([.1, .1, .05]) + ukf.R = np.diag([sigma_range**2, + sigma_bearing**2]*len(landmarks)) + ukf.Q = np.eye(3)*0.0001 + + sim_pos = ukf.x.copy() + + # plot landmarks + if len(landmarks) > 0: + plt.scatter(landmarks[:, 0], landmarks[:, 1], + marker='s', s=60) + + track = [] + for i, u in enumerate(cmds): + sim_pos = move(sim_pos, u, dt/step, wheelbase) + track.append(sim_pos) + + if i % step == 0: + ukf.predict(fx_args=u) + + if i % ellipse_step == 0: + plot_covariance_ellipse( + (ukf.x[0], ukf.x[1]), ukf.P[0:2, 0:2], std=6, + facecolor='k', alpha=0.3) + + x, y = sim_pos[0], sim_pos[1] + z = [] + for lmark in landmarks: + dx, dy = lmark[0] - x, lmark[1] - y + d = sqrt(dx**2 + dy**2) + randn()*sigma_range + bearing = atan2(lmark[1] - y, lmark[0] - x) + a = (normalize_angle(bearing - sim_pos[2] + + randn()*sigma_bearing)) + z.extend([d, a]) + ukf.update(z, hx_args=(landmarks,)) + + if i % ellipse_step == 0: + plot_covariance_ellipse( + (ukf.x[0], ukf.x[1]), ukf.P[0:2, 0:2], std=6, + facecolor='g', alpha=0.8) + track = np.array(track) + plt.plot(track[:, 0], track[:,1], color='k', lw=2) + plt.axis('equal') + plt.title("UKF Robot localization") + plt.show() + return ukf + + +landmarks = np.array([[5, 10], [10, 5], [15, 15]]) +cmds = [np.array([1.1, .01])] * 200 +ukf = run_localization( + cmds, landmarks, sigma_vel=0.1, sigma_steer=np.radians(1), + sigma_range=0.3, sigma_bearing=0.1) +print('Final P:', ukf.P.diagonal()) \ No newline at end of file diff --git a/experiments/slamekf.py b/experiments/slamekf.py new file mode 100644 index 0000000..7a73d79 --- /dev/null +++ b/experiments/slamekf.py @@ -0,0 +1,125 @@ +# -*- coding: utf-8 -*- +""" +Created on Sun Oct 9 08:25:01 2016 + +@author: roger +""" + +import numpy as np + + +class WorldMap(object): + + def __init__(self, N=100): + + self.N = N + pass + + + + + def measurements(self, x, theta): + """ return array of measurements (range, angle) if robot is in position + x""" + + N = 10 + a = np.linspace(-np.pi, np.pi, self.N) + return a + + + +def get_line(start, end): + """Bresenham's Line Algorithm + Produces a list of tuples from start and end + + >>> points1 = get_line((0, 0), (3, 4)) + >>> points2 = get_line((3, 4), (0, 0)) + >>> assert(set(points1) == set(points2)) + >>> print points1 + [(0, 0), (1, 1), (1, 2), (2, 3), (3, 4)] + >>> print points2 + [(3, 4), (2, 3), (1, 2), (1, 1), (0, 0)] + + source: + http://www.roguebasin.com/index.php?title=Bresenham%27s_Line_Algorithm + """ + # Setup initial conditions + x1, y1 = int(round(start[0])), int(round(start[1])) + x2, y2 = int(round(end[0])), int(round(end[1])) + dx = x2 - x1 + dy = y2 - y1 + + # Determine how steep the line is + is_steep = abs(dy) > abs(dx) + + # Rotate line + if is_steep: + x1, y1 = y1, x1 + x2, y2 = y2, x2 + + # Swap start and end points if necessary and store swap state + swapped = False + if x1 > x2: + x1, x2 = x2, x1 + y1, y2 = y2, y1 + swapped = True + # Recalculate differentials + dx = x2 - x1 + dy = y2 - y1 + + # Calculate error + error = int(dx / 2.0) + ystep = 1 if y1 < y2 else -1 + + # Iterate over bounding box generating points between start and end + y = y1 + points = [] + for x in range(x1, x2 + 1): + coord = (y, x) if is_steep else (x, y) + points.append(coord) + error -= abs(dy) + if error < 0: + y += ystep + error += dx + + # Reverse the list if the coordinates were swapped + if swapped: + points.reverse() + return points + + +world = np.zeros((1000,1000), dtype=bool) + + +def add_line(p0, p1): + pts = get_line(p0, p1) + for p in pts: + try: + world[p[0], p[1]] = True + except: + pass # ignore out of range + + +add_line((0,0), (1000, 0)) + +def measure(x, theta): + + dx,dy = world.shape + h = np.sqrt(2*(dx*dx + dy+dy)) + p1 = [h*np.cos(theta), h*np.sin(theta)] + + + hits = get_line(x, p1) + + try: + for pt in hits: + if world[pt[0], pt[1]]: + return pt + except: + return -1 + return -2 + + + + +measure([100,100], -np.pi/2) diff --git a/pdf/Untitled.ipynb b/pdf/Untitled.ipynb new file mode 100644 index 0000000..f8616a1 --- /dev/null +++ b/pdf/Untitled.ipynb @@ -0,0 +1,1617 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "%matplotlib notebook\n", + "from matplotlib.pyplot import *" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "application/javascript": [ + "/* Put everything inside the global mpl namespace */\n", + "window.mpl = {};\n", + "\n", + "mpl.get_websocket_type = function() {\n", + " if (typeof(WebSocket) !== 'undefined') {\n", + " return WebSocket;\n", + " } else if (typeof(MozWebSocket) !== 'undefined') {\n", + " return MozWebSocket;\n", + " } else {\n", + " alert('Your browser does not have WebSocket support.' +\n", + " 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n", + " 'Firefox 4 and 5 are also supported but you ' +\n", + " 'have to enable WebSockets in about:config.');\n", + " };\n", + "}\n", + "\n", + "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n", + " this.id = figure_id;\n", + "\n", + " this.ws = websocket;\n", + "\n", + " this.supports_binary = (this.ws.binaryType != undefined);\n", + "\n", + " if (!this.supports_binary) {\n", + " var warnings = document.getElementById(\"mpl-warnings\");\n", + " if (warnings) {\n", + " warnings.style.display = 'block';\n", + " warnings.textContent = (\n", + " \"This browser does not support binary websocket messages. \" +\n", + " \"Performance may be slow.\");\n", + " }\n", + " }\n", + "\n", + " this.imageObj = new Image();\n", + "\n", + " this.context = undefined;\n", + " this.message = undefined;\n", + " this.canvas = undefined;\n", + " this.rubberband_canvas = undefined;\n", + " this.rubberband_context = undefined;\n", + " this.format_dropdown = undefined;\n", + "\n", + " this.image_mode = 'full';\n", + "\n", + " this.root = $('
    ');\n", + " this._root_extra_style(this.root)\n", + " this.root.attr('style', 'display: inline-block');\n", + "\n", + " $(parent_element).append(this.root);\n", + "\n", + " this._init_header(this);\n", + " this._init_canvas(this);\n", + " this._init_toolbar(this);\n", + "\n", + " var fig = this;\n", + "\n", + " this.waiting = false;\n", + "\n", + " this.ws.onopen = function () {\n", + " fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n", + " fig.send_message(\"send_image_mode\", {});\n", + " fig.send_message(\"refresh\", {});\n", + " }\n", + "\n", + " this.imageObj.onload = function() {\n", + " if (fig.image_mode == 'full') {\n", + " // Full images could contain transparency (where diff images\n", + " // almost always do), so we need to clear the canvas so that\n", + " // there is no ghosting.\n", + " fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n", + " }\n", + " fig.context.drawImage(fig.imageObj, 0, 0);\n", + " };\n", + "\n", + " this.imageObj.onunload = function() {\n", + " this.ws.close();\n", + " }\n", + "\n", + " this.ws.onmessage = this._make_on_message_function(this);\n", + "\n", + " this.ondownload = ondownload;\n", + "}\n", + "\n", + "mpl.figure.prototype._init_header = function() {\n", + " var titlebar = $(\n", + " '
    ');\n", + " var titletext = $(\n", + " '
    ');\n", + " titlebar.append(titletext)\n", + " this.root.append(titlebar);\n", + " this.header = titletext[0];\n", + "}\n", + "\n", + "\n", + "\n", + "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n", + "\n", + "}\n", + "\n", + "\n", + "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n", + "\n", + "}\n", + "\n", + "mpl.figure.prototype._init_canvas = function() {\n", + " var fig = this;\n", + "\n", + " var canvas_div = $('
    ');\n", + "\n", + " canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n", + "\n", + " function canvas_keyboard_event(event) {\n", + " return fig.key_event(event, event['data']);\n", + " }\n", + "\n", + " canvas_div.keydown('key_press', canvas_keyboard_event);\n", + " canvas_div.keyup('key_release', canvas_keyboard_event);\n", + " this.canvas_div = canvas_div\n", + " this._canvas_extra_style(canvas_div)\n", + " this.root.append(canvas_div);\n", + "\n", + " var canvas = $('');\n", + " canvas.addClass('mpl-canvas');\n", + " canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n", + "\n", + " this.canvas = canvas[0];\n", + " this.context = canvas[0].getContext(\"2d\");\n", + "\n", + " var rubberband = $('');\n", + " rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n", + "\n", + " var pass_mouse_events = true;\n", + "\n", + " canvas_div.resizable({\n", + " start: function(event, ui) {\n", + " pass_mouse_events = false;\n", + " },\n", + " resize: function(event, ui) {\n", + " fig.request_resize(ui.size.width, ui.size.height);\n", + " },\n", + " stop: function(event, ui) {\n", + " pass_mouse_events = true;\n", + " fig.request_resize(ui.size.width, ui.size.height);\n", + " },\n", + " });\n", + "\n", + " function mouse_event_fn(event) {\n", + " if (pass_mouse_events)\n", + " return fig.mouse_event(event, event['data']);\n", + " }\n", + "\n", + " rubberband.mousedown('button_press', mouse_event_fn);\n", + " rubberband.mouseup('button_release', mouse_event_fn);\n", + " // Throttle sequential mouse events to 1 every 20ms.\n", + " rubberband.mousemove('motion_notify', mouse_event_fn);\n", + "\n", + " rubberband.mouseenter('figure_enter', mouse_event_fn);\n", + " rubberband.mouseleave('figure_leave', mouse_event_fn);\n", + "\n", + " canvas_div.on(\"wheel\", function (event) {\n", + " event = event.originalEvent;\n", + " event['data'] = 'scroll'\n", + " if (event.deltaY < 0) {\n", + " event.step = 1;\n", + " } else {\n", + " event.step = -1;\n", + " }\n", + " mouse_event_fn(event);\n", + " });\n", + "\n", + " canvas_div.append(canvas);\n", + " canvas_div.append(rubberband);\n", + "\n", + " this.rubberband = rubberband;\n", + " this.rubberband_canvas = rubberband[0];\n", + " this.rubberband_context = rubberband[0].getContext(\"2d\");\n", + " this.rubberband_context.strokeStyle = \"#000000\";\n", + "\n", + " this._resize_canvas = function(width, height) {\n", + " // Keep the size of the canvas, canvas container, and rubber band\n", + " // canvas in synch.\n", + " canvas_div.css('width', width)\n", + " canvas_div.css('height', height)\n", + "\n", + " canvas.attr('width', width);\n", + " canvas.attr('height', height);\n", + "\n", + " rubberband.attr('width', width);\n", + " rubberband.attr('height', height);\n", + " }\n", + "\n", + " // Set the figure to an initial 600x600px, this will subsequently be updated\n", + " // upon first draw.\n", + " this._resize_canvas(600, 600);\n", + "\n", + " // Disable right mouse context menu.\n", + " $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n", + " return false;\n", + " });\n", + "\n", + " function set_focus () {\n", + " canvas.focus();\n", + " canvas_div.focus();\n", + " }\n", + "\n", + " window.setTimeout(set_focus, 100);\n", + "}\n", + "\n", + "mpl.figure.prototype._init_toolbar = function() {\n", + " var fig = this;\n", + "\n", + " var nav_element = $('
    ')\n", + " nav_element.attr('style', 'width: 100%');\n", + " this.root.append(nav_element);\n", + "\n", + " // Define a callback function for later on.\n", + " function toolbar_event(event) {\n", + " return fig.toolbar_button_onclick(event['data']);\n", + " }\n", + " function toolbar_mouse_event(event) {\n", + " return fig.toolbar_button_onmouseover(event['data']);\n", + " }\n", + "\n", + " for(var toolbar_ind in mpl.toolbar_items) {\n", + " var name = mpl.toolbar_items[toolbar_ind][0];\n", + " var tooltip = mpl.toolbar_items[toolbar_ind][1];\n", + " var image = mpl.toolbar_items[toolbar_ind][2];\n", + " var method_name = mpl.toolbar_items[toolbar_ind][3];\n", + "\n", + " if (!name) {\n", + " // put a spacer in here.\n", + " continue;\n", + " }\n", + " var button = $('');\n", + " button.click(method_name, toolbar_event);\n", + " button.mouseover(tooltip, toolbar_mouse_event);\n", + " nav_element.append(button);\n", + " }\n", + "\n", + " // Add the status bar.\n", + " var status_bar = $('');\n", + " nav_element.append(status_bar);\n", + " this.message = status_bar[0];\n", + "\n", + " // Add the close button to the window.\n", + " var buttongrp = $('
    ');\n", + " var button = $('');\n", + " button.click(function (evt) { fig.handle_close(fig, {}); } );\n", + " button.mouseover('Stop Interaction', toolbar_mouse_event);\n", + " buttongrp.append(button);\n", + " var titlebar = this.root.find($('.ui-dialog-titlebar'));\n", + " titlebar.prepend(buttongrp);\n", + "}\n", + "\n", + "mpl.figure.prototype._root_extra_style = function(el){\n", + " var fig = this\n", + " el.on(\"remove\", function(){\n", + "\tfig.close_ws(fig, {});\n", + " });\n", + "}\n", + "\n", + "mpl.figure.prototype._canvas_extra_style = function(el){\n", + " // this is important to make the div 'focusable\n", + " el.attr('tabindex', 0)\n", + " // reach out to IPython and tell the keyboard manager to turn it's self\n", + " // off when our div gets focus\n", + "\n", + " // location in version 3\n", + " if (IPython.notebook.keyboard_manager) {\n", + " IPython.notebook.keyboard_manager.register_events(el);\n", + " }\n", + " else {\n", + " // location in version 2\n", + " IPython.keyboard_manager.register_events(el);\n", + " }\n", + "\n", + "}\n", + "\n", + "mpl.figure.prototype._key_event_extra = function(event, name) {\n", + " var manager = IPython.notebook.keyboard_manager;\n", + " if (!manager)\n", + " manager = IPython.keyboard_manager;\n", + "\n", + " // Check for shift+enter\n", + " if (event.shiftKey && event.which == 13) {\n", + " this.canvas_div.blur();\n", + " event.shiftKey = false;\n", + " // Send a \"J\" for go to next cell\n", + " event.which = 74;\n", + " event.keyCode = 74;\n", + " manager.command_mode();\n", + " manager.handle_keydown(event);\n", + " }\n", + "}\n", + "\n", + "mpl.figure.prototype.handle_save = function(fig, msg) {\n", + " fig.ondownload(fig, null);\n", + "}\n", + "\n", + "\n", + "mpl.find_output_cell = function(html_output) {\n", + " // Return the cell and output element which can be found *uniquely* in the notebook.\n", + " // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n", + " // IPython event is triggered only after the cells have been serialised, which for\n", + " // our purposes (turning an active figure into a static one), is too late.\n", + " var cells = IPython.notebook.get_cells();\n", + " var ncells = cells.length;\n", + " for (var i=0; i= 3 moved mimebundle to data attribute of output\n", + " data = data.data;\n", + " }\n", + " if (data['text/html'] == html_output) {\n", + " return [cell, data, j];\n", + " }\n", + " }\n", + " }\n", + " }\n", + "}\n", + "\n", + "// Register the function which deals with the matplotlib target/channel.\n", + "// The kernel may be null if the page has been refreshed.\n", + "if (IPython.notebook.kernel != null) {\n", + " IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n", + "}\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "figure()\n", + "plot([random() for _ in range(20)]);" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.2" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +}