diff --git a/notebooks/01.06-Errors-and-Debugging.ipynb b/notebooks/01.06-Errors-and-Debugging.ipynb index 8b3110d3..6284cbd4 100644 --- a/notebooks/01.06-Errors-and-Debugging.ipynb +++ b/notebooks/01.06-Errors-and-Debugging.ipynb @@ -29,7 +29,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 3, "metadata": { "collapsed": false, "jupyter": { @@ -49,7 +49,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 4, "metadata": { "collapsed": false, "jupyter": { @@ -62,11 +62,12 @@ "evalue": "division by zero", "output_type": "error", "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[0;31mZeroDivisionError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mfunc2\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", - "\u001b[0;32m\u001b[0m in \u001b[0;36mfunc2\u001b[0;34m(x)\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0ma\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6\u001b[0m \u001b[0mb\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mx\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 7\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mfunc1\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ma\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mb\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", - "\u001b[0;32m\u001b[0m in \u001b[0;36mfunc1\u001b[0;34m(a, b)\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mfunc1\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ma\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mb\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0ma\u001b[0m \u001b[0;34m/\u001b[0m \u001b[0mb\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mfunc2\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0ma\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mZeroDivisionError\u001b[0m: division by zero" + "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[1;31mZeroDivisionError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[1;32mIn[4], line 1\u001b[0m\n\u001b[1;32m----> 1\u001b[0m \u001b[43mfunc2\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m1\u001b[39;49m\u001b[43m)\u001b[49m\n", + "Cell \u001b[1;32mIn[3], line 7\u001b[0m, in \u001b[0;36mfunc2\u001b[1;34m(x)\u001b[0m\n\u001b[0;32m 5\u001b[0m a \u001b[38;5;241m=\u001b[39m x\n\u001b[0;32m 6\u001b[0m b \u001b[38;5;241m=\u001b[39m x \u001b[38;5;241m-\u001b[39m \u001b[38;5;241m1\u001b[39m\n\u001b[1;32m----> 7\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mfunc1\u001b[49m\u001b[43m(\u001b[49m\u001b[43ma\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mb\u001b[49m\u001b[43m)\u001b[49m\n", + "Cell \u001b[1;32mIn[3], line 2\u001b[0m, in \u001b[0;36mfunc1\u001b[1;34m(a, b)\u001b[0m\n\u001b[0;32m 1\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mfunc1\u001b[39m(a, b):\n\u001b[1;32m----> 2\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43ma\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m/\u001b[39;49m\u001b[43m \u001b[49m\u001b[43mb\u001b[49m\n", + "\u001b[1;31mZeroDivisionError\u001b[0m: division by zero" ] } ], @@ -89,7 +90,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 5, "metadata": { "collapsed": false, "jupyter": { @@ -111,7 +112,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 6, "metadata": { "collapsed": false, "jupyter": { @@ -124,11 +125,11 @@ "evalue": "division by zero", "output_type": "error", "traceback": [ - "Traceback \u001b[0;36m(most recent call last)\u001b[0m:\n", - " File \u001b[1;32m\"\"\u001b[0m, line \u001b[1;32m1\u001b[0m, in \u001b[1;35m\u001b[0m\n func2(1)\n", - " File \u001b[1;32m\"\"\u001b[0m, line \u001b[1;32m7\u001b[0m, in \u001b[1;35mfunc2\u001b[0m\n return func1(a, b)\n", - "\u001b[0;36m File \u001b[0;32m\"\"\u001b[0;36m, line \u001b[0;32m2\u001b[0;36m, in \u001b[0;35mfunc1\u001b[0;36m\u001b[0m\n\u001b[0;31m return a / b\u001b[0m\n", - "\u001b[0;31mZeroDivisionError\u001b[0m\u001b[0;31m:\u001b[0m division by zero\n" + "Traceback \u001b[1;36m(most recent call last)\u001b[0m:\n", + "\u001b[0m Cell \u001b[0;32mIn[6], line 1\u001b[0m\n func2(1)\u001b[0m\n", + "\u001b[0m Cell \u001b[0;32mIn[3], line 7\u001b[0m in \u001b[0;35mfunc2\u001b[0m\n return func1(a, b)\u001b[0m\n", + "\u001b[1;36m Cell \u001b[1;32mIn[3], line 2\u001b[1;36m in \u001b[1;35mfunc1\u001b[1;36m\n\u001b[1;33m return a / b\u001b[1;36m\n", + "\u001b[1;31mZeroDivisionError\u001b[0m\u001b[1;31m:\u001b[0m division by zero\n" ] } ], @@ -145,7 +146,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 7, "metadata": { "collapsed": false, "jupyter": { @@ -167,7 +168,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 9, "metadata": { "collapsed": false, "jupyter": { @@ -180,11 +181,12 @@ "evalue": "division by zero", "output_type": "error", "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[0;31mZeroDivisionError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mfunc2\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m \u001b[0;36mglobal\u001b[0m \u001b[0;36mfunc2\u001b[0m \u001b[0;34m= \u001b[0m\n", - "\u001b[0;32m\u001b[0m in \u001b[0;36mfunc2\u001b[0;34m(x=1)\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0ma\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6\u001b[0m \u001b[0mb\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mx\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 7\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mfunc1\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ma\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mb\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m \u001b[0;36mglobal\u001b[0m \u001b[0;36mfunc1\u001b[0m \u001b[0;34m= \u001b[0m\u001b[0;34m\n \u001b[0m\u001b[0;36ma\u001b[0m \u001b[0;34m= 1\u001b[0m\u001b[0;34m\n \u001b[0m\u001b[0;36mb\u001b[0m \u001b[0;34m= 0\u001b[0m\n", - "\u001b[0;32m\u001b[0m in \u001b[0;36mfunc1\u001b[0;34m(a=1, b=0)\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mfunc1\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ma\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mb\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0ma\u001b[0m \u001b[0;34m/\u001b[0m \u001b[0mb\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m \u001b[0;36ma\u001b[0m \u001b[0;34m= 1\u001b[0m\u001b[0;34m\n \u001b[0m\u001b[0;36mb\u001b[0m \u001b[0;34m= 0\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mfunc2\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0ma\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mZeroDivisionError\u001b[0m: division by zero" + "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[1;31mZeroDivisionError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[1;32mIn[9], line 1\u001b[0m\n\u001b[1;32m----> 1\u001b[0m \u001b[43mfunc2\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m1\u001b[39;49m\u001b[43m)\u001b[49m\n", + "Cell \u001b[1;32mIn[3], line 7\u001b[0m, in \u001b[0;36mfunc2\u001b[1;34m(x=1)\u001b[0m\n\u001b[0;32m 5\u001b[0m a \u001b[38;5;241m=\u001b[39m x\n\u001b[0;32m 6\u001b[0m b \u001b[38;5;241m=\u001b[39m x \u001b[38;5;241m-\u001b[39m \u001b[38;5;241m1\u001b[39m\n\u001b[1;32m----> 7\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mfunc1\u001b[49m\u001b[43m(\u001b[49m\u001b[43ma\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mb\u001b[49m\u001b[43m)\u001b[49m\n a \u001b[1;34m= 1\u001b[0m\u001b[1;34m\n \u001b[0mb \u001b[1;34m= 0\u001b[0m\n", + "Cell \u001b[1;32mIn[3], line 2\u001b[0m, in \u001b[0;36mfunc1\u001b[1;34m(a=1, b=0)\u001b[0m\n\u001b[0;32m 1\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mfunc1\u001b[39m(a, b):\n\u001b[1;32m----> 2\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43ma\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m/\u001b[39;49m\u001b[43m \u001b[49m\u001b[43mb\u001b[49m\n a \u001b[1;34m= 1\u001b[0m\u001b[1;34m\n \u001b[0mb \u001b[1;34m= 0\u001b[0m\n", + "\u001b[1;31mZeroDivisionError\u001b[0m: division by zero" ] } ], @@ -416,7 +418,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.2" + "version": "3.12.1" } }, "nbformat": 4, diff --git a/notebooks/01.07-Timing-and-Profiling.ipynb b/notebooks/01.07-Timing-and-Profiling.ipynb index 203ca1d5..692d017b 100644 --- a/notebooks/01.07-Timing-and-Profiling.ipynb +++ b/notebooks/01.07-Timing-and-Profiling.ipynb @@ -40,14 +40,14 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "1.53 µs ± 47.8 ns per loop (mean ± std. dev. of 7 runs, 1000000 loops each)\n" + "1.41 µs ± 923 ns per loop (mean ± std. dev. of 7 runs, 1,000,000 loops each)\n" ] } ], @@ -522,7 +522,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.2" + "version": "3.12.1" } }, "nbformat": 4, diff --git a/notebooks/02.00-Introduction-to-NumPy.ipynb b/notebooks/02.00-Introduction-to-NumPy.ipynb index 62257da1..7d6adedc 100644 --- a/notebooks/02.00-Introduction-to-NumPy.ipynb +++ b/notebooks/02.00-Introduction-to-NumPy.ipynb @@ -109,6 +109,124 @@ "\n", "More detailed documentation, along with tutorials and other resources, can be found at http://www.numpy.org." ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\u001b[1;31mType:\u001b[0m module\n", + "\u001b[1;31mString form:\u001b[0m \n", + "\u001b[1;31mFile:\u001b[0m c:\\users\\steve\\appdata\\local\\programs\\python\\python312\\lib\\site-packages\\numpy\\__init__.py\n", + "\u001b[1;31mDocstring:\u001b[0m \n", + "NumPy\n", + "=====\n", + "\n", + "Provides\n", + " 1. An array object of arbitrary homogeneous items\n", + " 2. Fast mathematical operations over arrays\n", + " 3. Linear Algebra, Fourier Transforms, Random Number Generation\n", + "\n", + "How to use the documentation\n", + "----------------------------\n", + "Documentation is available in two forms: docstrings provided\n", + "with the code, and a loose standing reference guide, available from\n", + "`the NumPy homepage `_.\n", + "\n", + "We recommend exploring the docstrings using\n", + "`IPython `_, an advanced Python shell with\n", + "TAB-completion and introspection capabilities. See below for further\n", + "instructions.\n", + "\n", + "The docstring examples assume that `numpy` has been imported as ``np``::\n", + "\n", + " >>> import numpy as np\n", + "\n", + "Code snippets are indicated by three greater-than signs::\n", + "\n", + " >>> x = 42\n", + " >>> x = x + 1\n", + "\n", + "Use the built-in ``help`` function to view a function's docstring::\n", + "\n", + " >>> help(np.sort)\n", + " ... # doctest: +SKIP\n", + "\n", + "For some objects, ``np.info(obj)`` may provide additional help. This is\n", + "particularly true if you see the line \"Help on ufunc object:\" at the top\n", + "of the help() page. Ufuncs are implemented in C, not Python, for speed.\n", + "The native Python help() does not know how to view their help, but our\n", + "np.info() function does.\n", + "\n", + "To search for documents containing a keyword, do::\n", + "\n", + " >>> np.lookfor('keyword')\n", + " ... # doctest: +SKIP\n", + "\n", + "General-purpose documents like a glossary and help on the basic concepts\n", + "of numpy are available under the ``doc`` sub-module::\n", + "\n", + " >>> from numpy import doc\n", + " >>> help(doc)\n", + " ... # doctest: +SKIP\n", + "\n", + "Available subpackages\n", + "---------------------\n", + "lib\n", + " Basic functions used by several sub-packages.\n", + "random\n", + " Core Random Tools\n", + "linalg\n", + " Core Linear Algebra Tools\n", + "fft\n", + " Core FFT routines\n", + "polynomial\n", + " Polynomial tools\n", + "testing\n", + " NumPy testing tools\n", + "distutils\n", + " Enhancements to distutils with support for\n", + " Fortran compilers support and more (for Python <= 3.11).\n", + "\n", + "Utilities\n", + "---------\n", + "test\n", + " Run numpy unittests\n", + "show_config\n", + " Show numpy build configuration\n", + "matlib\n", + " Make everything matrices.\n", + "__version__\n", + " NumPy version string\n", + "\n", + "Viewing documentation using IPython\n", + "-----------------------------------\n", + "\n", + "Start IPython and import `numpy` usually under the alias ``np``: `import\n", + "numpy as np`. Then, directly past or use the ``%cpaste`` magic to paste\n", + "examples into the shell. To see which functions are available in `numpy`,\n", + "type ``np.`` (where ```` refers to the TAB key), or use\n", + "``np.*cos*?`` (where ```` refers to the ENTER key) to narrow\n", + "down the list. To view the docstring for a function, use\n", + "``np.cos?`` (to view the docstring) and ``np.cos??`` (to view\n", + "the source code).\n", + "\n", + "Copies vs. in-place operation\n", + "-----------------------------\n", + "Most of the functions in `numpy` return a copy of the array argument\n", + "(e.g., `np.sort`). In-place versions of these functions are often\n", + "available as array methods, i.e. ``x = np.array([1,2,3]); x.sort()``.\n", + "Exceptions to this rule are documented." + ] + } + ], + "source": [ + "np?" + ] } ], "metadata": { @@ -131,7 +249,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.2" + "version": "3.12.1" } }, "nbformat": 4, diff --git a/notebooks/02.01-Understanding-Data-Types.ipynb b/notebooks/02.01-Understanding-Data-Types.ipynb index 2649cc36..0a6877d8 100644 --- a/notebooks/02.01-Understanding-Data-Types.ipynb +++ b/notebooks/02.01-Understanding-Data-Types.ipynb @@ -343,7 +343,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -856,7 +856,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.2" + "version": "3.12.1" } }, "nbformat": 4, diff --git a/notebooks/05.01-What-Is-Machine-Learning.ipynb b/notebooks/05.01-What-Is-Machine-Learning.ipynb index b5a95252..f298fdd5 100644 --- a/notebooks/05.01-What-Is-Machine-Learning.ipynb +++ b/notebooks/05.01-What-Is-Machine-Learning.ipynb @@ -34,7 +34,7 @@ "source": [ "## Categories of Machine Learning\n", "\n", - "Machine learning can be categorized into two main types: supervised learning and unsupervised learning.\n", + "Machine learning can be categorized into two main types: **supervised** learning and **unsupervised** learning.\n", "\n", "*Supervised learning* involves somehow modeling the relationship between measured features of data and some labels associated with the data; once this model is determined, it can be used to apply labels to new, unknown data.\n", "This is sometimes further subdivided into classification tasks and regression tasks: in *classification*, the labels are discrete categories, while in *regression*, the labels are continuous quantities.\n", @@ -79,6 +79,98 @@ "Imagine that we have the data shown in this figure:" ] }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [ + "# common plot formatting for below\n", + "def format_plot(ax, title):\n", + " ax.xaxis.set_major_formatter(plt.NullFormatter())\n", + " ax.yaxis.set_major_formatter(plt.NullFormatter())\n", + " ax.set_xlabel('feature 1', color='gray')\n", + " ax.set_ylabel('feature 2', color='gray')\n", + " ax.set_title(title, color='gray')" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "3.8.3\n" + ] + } + ], + "source": [ + "from matplotlib import pyplot as plt\n", + "# check matplot version\n", + "import matplotlib\n", + "print(matplotlib.__version__)" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [ + "# import make_blobs new version see link https://www.datasciencelearner.com/python-exceptions/modulenotfounderror/no-module-named-sklearn-datasets-samples_generator-solved/\n", + "from sklearn.datasets import make_blobs\n", + "#import matplotlib.pyplot as plt\n", + "from sklearn.svm import SVC\n", + "\n", + "# create 50 separable points\n", + "X, y = make_blobs(n_samples=50, centers=2,\n", + " random_state=0, cluster_std=0.60)\n", + "\n", + "# fit the support vector classifier model\n", + "clf = SVC(kernel='linear')\n", + "clf.fit(X, y)\n", + "\n", + "# create some new points to predict\n", + "X2, _ = make_blobs(n_samples=80, centers=2,\n", + " random_state=0, cluster_std=0.80)\n", + "X2 = X2[50:]\n", + "\n", + "# predict the labels\n", + "y2 = clf.predict(X2)" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# plot the data\n", + "fig, ax = plt.subplots(figsize=(8, 6))\n", + "point_style = dict(cmap='Paired', s=50)\n", + "ax.scatter(X[:, 0], X[:, 1], c=y, **point_style)\n", + "\n", + "# format plot\n", + "format_plot(ax, 'Input Data')\n", + "ax.axis([-1, 4, -2, 7])\n", + "\n", + "fig.savefig('figures/05.01-classification-1.png')" + ] + }, { "cell_type": "markdown", "metadata": { @@ -107,6 +199,46 @@ "See the following figure shows a visual representation of what the trained model looks like for this data." ] }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Get contours describing the model\n", + "import numpy as np\n", + "xx = np.linspace(-1, 4, 10)\n", + "yy = np.linspace(-2, 7, 10)\n", + "xy1, xy2 = np.meshgrid(xx, yy)\n", + "Z = np.array([clf.decision_function([t])\n", + " for t in zip(xy1.flat, xy2.flat)]).reshape(xy1.shape)\n", + "\n", + "# plot points and model\n", + "fig, ax = plt.subplots(figsize=(8, 6))\n", + "line_style = dict(levels = [-1.0, 0.0, 1.0],\n", + " linestyles = ['dashed', 'solid', 'dashed'],\n", + " colors = 'gray', linewidths=1)\n", + "ax.scatter(X[:, 0], X[:, 1], c=y, **point_style)\n", + "ax.contour(xy1, xy2, Z, **line_style)\n", + "\n", + "# format plot\n", + "format_plot(ax, 'Model Learned from Input Data')\n", + "ax.axis([-1, 4, -2, 7])\n", + "\n", + "fig.savefig('figures/05.01-classification-2.png')" + ] + }, { "cell_type": "markdown", "metadata": { @@ -129,6 +261,48 @@ "This stage is usually called *prediction*." ] }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\Steve\\AppData\\Local\\Temp\\ipykernel_40580\\3580052162.py:5: UserWarning: No data for colormapping provided via 'c'. Parameters 'cmap' will be ignored\n", + " ax[0].scatter(X2[:, 0], X2[:, 1], c='gray', **point_style)\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# plot the results\n", + "fig, ax = plt.subplots(1, 2, figsize=(16, 6))\n", + "fig.subplots_adjust(left=0.0625, right=0.95, wspace=0.1)\n", + "\n", + "ax[0].scatter(X2[:, 0], X2[:, 1], c='gray', **point_style)\n", + "ax[0].axis([-1, 4, -2, 7])\n", + "\n", + "ax[1].scatter(X2[:, 0], X2[:, 1], c=y2, **point_style)\n", + "ax[1].contour(xy1, xy2, Z, **line_style)\n", + "ax[1].axis([-1, 4, -2, 7])\n", + "\n", + "format_plot(ax[0], 'Unknown Data')\n", + "format_plot(ax[1], 'Predicted Labels')\n", + "\n", + "fig.savefig('figures/05.01-classification-3.png')" + ] + }, { "cell_type": "markdown", "metadata": { @@ -176,6 +350,60 @@ "Consider the data shown in the following figure, which consists of a set of points each with a continuous label." ] }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.linear_model import LinearRegression\n", + "\n", + "# Create some data for the regression\n", + "rng = np.random.RandomState(1) # seed random number generator\n", + "\n", + "X = rng.randn(200, 2) # 200 points in 2 dimensions\n", + "y = np.dot(X, [-2, 1]) + 0.1 * rng.randn(X.shape[0]) # y = -2X_0 + 1X_1 + noise\n", + "\n", + "# fit the regression model\n", + "model = LinearRegression() # create a linear regression model instance\n", + "model.fit(X, y) # fit the model to data\n", + "\n", + "# create some new points to predict\n", + "X2 = rng.randn(100, 2) # 100 new points in 2 dimensions\n", + "\n", + "# predict the labels\n", + "y2 = model.predict(X2) # predict the value of the new points" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# plot data points\n", + "fig, ax = plt.subplots()\n", + "points = ax.scatter(X[:, 0], X[:, 1], c=y, s=50,\n", + " cmap='viridis')\n", + "\n", + "# format plot\n", + "format_plot(ax, 'Input Data')\n", + "ax.axis([-4, 4, -3, 3])\n", + "\n", + "fig.savefig('figures/05.01-regression-1.png')" + ] + }, { "cell_type": "markdown", "metadata": { @@ -203,6 +431,92 @@ "We can visualize this setup as shown in the following figure:" ] }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'3.8.3'" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "matplotlib.__version__" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "ename": "AttributeError", + "evalue": "'Axes3D' object has no attribute 'w_xaxis'", + "output_type": "error", + "traceback": [ + "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[1;31mAttributeError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[1;32mIn[38], line 26\u001b[0m\n\u001b[0;32m 23\u001b[0m ax\u001b[38;5;241m.\u001b[39mset(xlabel\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mfeature 1\u001b[39m\u001b[38;5;124m'\u001b[39m, ylabel\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mfeature 2\u001b[39m\u001b[38;5;124m'\u001b[39m, zlabel\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mlabel\u001b[39m\u001b[38;5;124m'\u001b[39m)\n\u001b[0;32m 25\u001b[0m \u001b[38;5;66;03m# Hide axes (is there a better way?)\u001b[39;00m\n\u001b[1;32m---> 26\u001b[0m \u001b[43max\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mw_xaxis\u001b[49m\u001b[38;5;241m.\u001b[39mline\u001b[38;5;241m.\u001b[39mset_visible(\u001b[38;5;28;01mFalse\u001b[39;00m)\n\u001b[0;32m 27\u001b[0m ax\u001b[38;5;241m.\u001b[39mw_yaxis\u001b[38;5;241m.\u001b[39mline\u001b[38;5;241m.\u001b[39mset_visible(\u001b[38;5;28;01mFalse\u001b[39;00m)\n\u001b[0;32m 28\u001b[0m ax\u001b[38;5;241m.\u001b[39mw_zaxis\u001b[38;5;241m.\u001b[39mline\u001b[38;5;241m.\u001b[39mset_visible(\u001b[38;5;28;01mFalse\u001b[39;00m)\n", + "\u001b[1;31mAttributeError\u001b[0m: 'Axes3D' object has no attribute 'w_xaxis'" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from mpl_toolkits.mplot3d.art3d import Line3DCollection\n", + "\n", + "points = np.hstack([X, y[:, None]]).reshape(-1, 1, 3)\n", + "segments = np.hstack([points, points])\n", + "segments[:, 0, 2] = -8\n", + "\n", + "# plot points in 3D\n", + "fig = plt.figure()\n", + "ax = fig.add_subplot(111, projection='3d')\n", + "ax.scatter(X[:, 0], X[:, 1], y, c=y, s=35,\n", + " cmap='viridis')\n", + "ax.add_collection3d(Line3DCollection(segments, colors='gray', alpha=0.2))\n", + "ax.scatter(X[:, 0], X[:, 1], -8 + np.zeros(X.shape[0]), c=y, s=10,\n", + " cmap='viridis')\n", + "\n", + "# format plot\n", + "ax.patch.set_facecolor('white')\n", + "ax.view_init(elev=20, azim=-70)\n", + "ax.set_zlim3d(-8, 8)\n", + "ax.xaxis.set_major_formatter(plt.NullFormatter())\n", + "ax.yaxis.set_major_formatter(plt.NullFormatter())\n", + "ax.zaxis.set_major_formatter(plt.NullFormatter())\n", + "ax.set(xlabel='feature 1', ylabel='feature 2', zlabel='label')\n", + "\n", + "# Hide axes (is there a better way?)\n", + "ax.w_xaxis.line.set_visible(False)\n", + "ax.w_yaxis.line.set_visible(False)\n", + "ax.w_zaxis.line.set_visible(False)\n", + "for tick in ax.w_xaxis.get_ticklines():\n", + " tick.set_visible(False)\n", + "for tick in ax.w_yaxis.get_ticklines():\n", + " tick.set_visible(False)\n", + "for tick in ax.w_zaxis.get_ticklines():\n", + " tick.set_visible(False)\n", + "\n", + "fig.savefig('figures/05.01-regression-2.png')" + ] + }, { "cell_type": "markdown", "metadata": { @@ -235,6 +549,46 @@ "![](images/05.01-regression-3.png)" ] }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from matplotlib.collections import LineCollection\n", + "\n", + "# plot data points\n", + "fig, ax = plt.subplots()\n", + "pts = ax.scatter(X[:, 0], X[:, 1], c=y, s=50,\n", + " cmap='viridis', zorder=2)\n", + "\n", + "# compute and plot model color mesh\n", + "xx, yy = np.meshgrid(np.linspace(-4, 4),\n", + " np.linspace(-3, 3))\n", + "Xfit = np.vstack([xx.ravel(), yy.ravel()]).T\n", + "yfit = model.predict(Xfit)\n", + "zz = yfit.reshape(xx.shape)\n", + "ax.pcolorfast([-4, 4], [-3, 3], zz, alpha=0.5,\n", + " cmap='viridis', norm=pts.norm, zorder=1)\n", + "\n", + "# format plot\n", + "format_plot(ax, 'Input Data with Linear Fit')\n", + "ax.axis([-4, 4, -3, 3])\n", + "\n", + "fig.savefig('figures/05.01-regression-3.png')" + ] + }, { "cell_type": "markdown", "metadata": { @@ -246,6 +600,41 @@ "Visually, we find the results shown in the following figure:" ] }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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xKC4u7rMO7X4uW2O49zHeqFEp2/q7+/mtVitKS0v7PV6SJBw4cKDHsQcOHEB4eDhGjx4NAMjKykJzczMOHjzY5+vNZrM92rA/tmgXm5CQEMTHxw8q7pCISClOehPRsBIREYHFixdj+/btyM/PR0ZGBjQaDSorK3H8+HGkpaUhIyNjyNcJDw/HAw88gPz8fLz66qvYsGGDw7f89Wfp0qU4c+YMXnrpJcyZMweiKOLAgQOwWCw9drMHvtqg8tq1a1i+fLn94+PGjcPp06ehUqmcvpV0MJqbm3H06FEAXdPdV69eRVlZGVpaWpCbm4vs7Gz7sRMnTkRxcTFee+01+871JSUliI+P75MhPmbMGJw9exZFRUX2+JaxY8di4sSJOHLkCLRaLUaMGIGLFy/i7Nmz9ox1IiIiIgo+KSkpmD17Nnbv3o3q6mqkpaVBFEXU1dWhrKwMN998M7KyshAREYH58+dj9+7deOONN5Ceno7q6mqcPn3aabyIIAjIy8vDG2+8gRdffBEzZsxAVFQUamtrcfXqVaxfvx4A7E3gTz/91F7HlClTvFJjd5cvX+63wZ6SkoLk5GSEhobiww8/xLx58wAAR48eHXBQJCoqCnv27EFDQwMSEhJw4sQJVFdXY9WqVVCpVACA6dOno6ysDJs2bcL58+eRnJwMSZJQW1uLsrIyrF+/fsC/N/785z8jJSUFo0ePRlhYGC5fvoyysjLMnTtX8fMlInIVm95ENOwsXrwYsbGxKCkpwc6dOyFJEuLi4rBkyRIsWLBgUG/X6090dHSfxrcrC1mdTocNGzZg27Zt2L17N2RZRlJSEtasWYOxY8f2ODYxMRERERFobW21N8CBr5rhSUlJ/WaVD1V1dTU++OADAF0bVkZHR2PixImYNWsWkpKSehybmpqK22+/Hbt378bmzZsRFxeHG2+8EQ0NDX2a3itWrMCmTZvwxRdfwGKxYPr06Rg7dixuvvlmCIKAY8eOwWKxIDk5GQ888ABee+01tz83IiIiIvIfq1atwujRo3HgwAFs27YNoigiNjYWU6dORXJysv24ZcuWQa1Wo7S0FOfOncPYsWOxfv16bNy40ek10tPT8dBDD2Hnzp0oKiqCLMuIj4/vEcExadIkzJ07F8ePH7cPf0yZMsVrNdpcunQJly5d6vPxpUuXQq/X42tf+xo+++wzfPHFFwgLC8PUqVMxfvz4ftfNoaGhWL16NT799FMcPHgQERERuOWWWzB79mz7MYIg4J577kFxcTGOHDmCkydPQqPRIC4uDvPmzeuzMWd3c+fORUVFBc6cOQOLxYLY2FgsW7YM8+fPV/x8iYhcJch8TzgRERERERERERERBQlmehMRERERERERERFR0GDTm4iIiIiIiIiIiIiCBpveRERERERERERERBQ02PQmIiIiIiIiIiIioqDBpjcRERERERERERERBQ02vYmIiIiIiIiIiIgoaKh9XYCNyWSCyWSyP5YkCXV1dUhISIAgCD6sjIiIiIiGI1mW0dzcjDFjxkAUh9+sCNfnRERERORPXFmf+03T++mnn8ZTTz3l6zKIiIiIiHqorKzE2LFjfV2G13F9TkRERET+SMn6XJBlWfZSPQ71niRpbGyEXq9HZWUloqOjfVgZEREREQ1HTU1NSE5ORkNDA2JiYnxdjtdxfU5ERERE/sSV9bnfTHprtVpotdo+H4+OjuaimoiIiIh8ZrhGeXB9TkRERET+SMn6fPiFExIRERERERERERFR0GLTm4iIiIiIiIiIiIiCBpveRERERERERERERBQ02PQmIiIiIiIiIiIioqDBpjcRERERERERERERBQ02vYmIiIiIiIiIiIgoaLDpTURERERERERERERBg01vIiIiIiIiIiIiIgoabHoTERERERERERERUdBg05uIiIiIiIiIiIiIggab3kREREREREREREQUNNj0JiIiIiIiIiIiIqKgwaY3EREREREREREREQUNNr2JiIiIiIiIiIiIKGiw6U1EREREREREREREQYNNbyIiIiIiIiIiIiIKGmx6ExEREREREREREVHQYNObiIiIiIiIiIiIiIIGm95EREREREREREREFDTY9CYiIiIiIiIiIiKioMGmNxEREREREREREREFDTa9iYiIiIiIiIiIiChosOlNREREREREREREREGDTW8iIiIiIiIiIiIiChpsehMRERERERERERFR0GDTm4iIiIiIiIiIiIiCBpveRERERERERERERBQ02PQmIiIiIiIiIiIioqDBpjcRERERERERERERBQ21rwsgouBgNpthMpmg1Wqh0Wh8XQ4RERER0bBU02FEybXNONd6HJIsYVRYCubG34yUiMkQBMHX5REREXkFm95ENCRGoxFFRUUoLy+HLMsQBAEZGRnIzc2FXq/3dXlERERERMOCLMvYVrMRO6++CxEiJEgAgLrOKhxv3IOMqGzco/8hNKLWx5USERF5HuNNiGjQSkpKkJ+fj4qKCsiyDKBrsV1RUYH8/HyUlpb6uEIiIiIiouFhb+3H2Hn1XQCwN7y7/3NF8wG8f/EPPqmNiIjI29j0JqJBMRqNKCwsBABIktTjc7bHBQUFMBqNXq+NiIiIiGg4MUsmbL/ylsNjZMg43rgHNR1cnxMRUfBj05uIBqWoqAii6PhXiCiKKC4u9lJFRERERETD08mm/TBJ7U6PEyHiYN1WL1RERETkW2x6E5HLzGYzysvL+0x49yZJEgwGA8xms5cqIyIiIiIafuo6qyFC5fQ4CRLqzDVeqIiIiMi32PQmIpeZTCZ7hrczsizDZDJ5uCIiIiIiouFLI4RAhvP1uQABaiHECxURERH5FpveROQyrVYLQRAUHSsIArRa7hBPREREROQpaZHTIcPxuzCBrlzv9MjpXqiIiIjIt9j0JiKXaTQaZGRkKMr0zszMhEaj8VJlRERERETDz6iwFCSHZ0Bw8Ce+AAFaMQxTYxd5sTIiIiLfYNObiAYlNzdXUaZ3Tk6OlyoiIiIiIhq+7hz7XYSqwiH282e+cP3/1ul/gBCR78IkIqLgx6Y3EQ2KXq9HXl4eAPSZ+LY9zsvLg16v93ptRERERETDTYJ2DB5LfwYTo2YD6BlFmBQ2ARvG/+r654iIiIKf2tcFEFHgys7Ohk6nQ3FxMQwGA2RZhiAIyMjIQE5ODhveREREREReFB8yCven/ByNnbWobK+ALEsYEZqMUaHjfF0aERGRV7HpTURDotfrodfrYTabYTKZoNVqmeFNRERERORDMSGJiAlJ9HUZREREPsOmNxG5hUajYbObiIiIiIiIiIh8jpneRERERERERERERBQ02PQmIiIiIiIiIiIioqDBpjcRERERERERERERBQ02vYmIiIiIiIiIiIgoaLDpTURERERERERERERBg01vIiIiIiIiIiIiIgoabHoTERERERERERERUdBg05uIiIiIiIiIiIiIggab3kREREREREREREQUNNj0JiIiIiIiIiIiIqKgwaY3EREREREREREREQUNNr2JiIiIiIiIiIiIKGiw6U1EREREREREREREQYNNbyIiIiIiIiIiIiIKGmx6ExEREREREREREVHQYNObiIiIiIiIiIiIiIIGm95EREREREREREREFDTY9CYiIiIiIiIiIiKioMGmNxEREREREREREREFDTa9iYiIiIiIiIiIiChosOlNREREREREREREREGDTW8iIiIiIiIiIiIiChpsehMRERERERERERFR0GDTm4iIiIiIiIiIiIiCBpveRERERERERERERBQ02PQmIiIiIiIiIiIioqDBpjcRERERERERERERBQ02vYmIiIiIiIiIiIgoaLDpTURERERERERERERBg01vIiIiIiIiIiIiIgoaal8XYGMymWAymeyPm5qafFgNEREREdHwxvU5EREREQUqv5n0fvrppxETE2P/X3Jysq9LIiIiIiIatrg+JyIiIqJAJciyLPu6CKD/SZLk5GQ0NjYiOjrah5URERER0XDU1NSEmJiYYbse5fqciIiIiPyJK+tzv4k30Wq10Gq1vi6DiIiIiIjA9TkRERERBS6/iTchIiIiIiIiIiIiIhoqNr2JiIiIiIiIiIiIKGiw6U1EREREREREREREQYNNbyIiIiIiIiIiIiIKGmx6ExEREREREREREVHQYNObiIiIiIiIiIiIiIIGm95EREREREREREREFDTY9CYiIiIiIiIiIiKioMGmNxEREREREREREREFDTa9iYiIiIiIiIiIiChosOlNREREREREREREREGDTW8iIiIiIiIiIiIiChpsehMRERERERERERFR0GDTm4iIiIiIiIiIiIiChtrXBRDR8GE2m2EymaDVaqHRaHxdDhERERHRsHSpvQafVe9CefNZyJCRHpmClSMXQR8xxtelERERuQWb3kTkcUajEUVFRSgvL4csyxAEARkZGcjNzYVer/d1eUREREREw4Isy/jnhQ/w8eWtECFCggQAONtSic3VO7Fy5GJ8ffw6qAS+KZyIiAIbm95E5FElJSUoLCyEKIqQZRlA12K7oqICBoMBeXl5yM7O9nGVRERERETB752Lhfj48lYAsDe8u//zlpovEaoKwYMpa31SHxERkbvw9i0ReYzRaERhYSEAQJKkHp+zPS4oKIDRaPR6bUREREREw0mLpQ3vXdzi9LhPLn+B+s5GL1RERETkOWx6E5HHFBUVQRQd/5oRRRHFxcVeqoiIiIiIaHjadbUEVtni9DgZMnZc2eeFioiIiDyHTW8i8giz2Yzy8vI+E969SZIEg8EAs9nspcqIiIiIiIafqo4rEAWV0+NEQUB1x1UvVEREROQ5bHoTkUeYTCZ7hrczsizDZDJ5uCIiIiIiouFLLagAKFufq0XnzXEiIiJ/xqY3EXmEVquFIAiKjhUEAVqt1sMVERERERENX1NjMmGVHb8LEwCssoQpMRleqIiIiMhz2PQmIo/QaDTIyMhQlOmdmZkJjUbjpcqIiIiIiIaf6bGZ0GkTIGLgwRQBAmI1UZgbP82LlREREbkfm95E5DG5ubmKMr1zcnK8VBERERER0fAkCiL+deIjUAmqfhvfAgSIgojvXz+GiIgokLHpTUQeo9frkZeXBwB9Jr5tj/Py8qDX671eGxERERHRcDMxKhX/NfWHSI8c1+dz4yOS8f8mfx9TGW1CRERBQO3rAogouGVnZ0On06G4uBgGgwGyLEMQBGRkZCAnJ4cNbyIiIiIiL0qL1OPpaT/GhdZLON1yAQCQGpGM8ZHJPq6MiIjIfdj0JiKP0+v10Ov1MJvNMJlM0Gq1zPAmIiIiIvKhcRFJGBeR5OsyiIiIPIJNbyLyGo1Gw2Y3ERERERERERF5FDO9iYiIiIiIiIiIiChocNKbiIgGjZE1RERERET+4XxDPera2xETqsX42HgIguDrkoiIfIZNbyIicpnRaERRURHKy8t7bE6am5vLzUmJiIiIiLxo06ly/OXAPpTVXrV/LD0uHt+cNQd3Zk5m85uIhiU2vYmoD07vkiMlJSUoLCyEKIqQZRkAIMsyKioqYDAYkJeXh+zsbB9XSURERBQcZFlGi6UFnZIZUZoohIhcn9NXnt+/F8/tL4KAno3tM/V1+NG2LThx9QqeXLSUjW8iGnbY9CYiO07vkjNGoxGFhYUAAEmSenzO9rigoAA6nY4/M0RERERDIMkS9tQWYXP1VhjbKgEAGkGNhSPm45ZRKzA6bJSPKyRf2115Ac/tLwIAyJB7fM726OWjhzB3zFjckj7Ry9UREfkWm95EBIDTu4HOW9P5RUVFEEWxT8O7O1EUUVxczKY3ERER0SBJsoS/nP47iutKekzwmmULdl7ZjT21xfhxxveREc1Gpj861VCL4upKmCUrxkfHY9GYFKhE0e3XeenwQagEAVZZHvAYURDwf0cOsOlNRMMOm95ExOndAObN6Xyz2Wy/jiOSJMFgMMBsNjMeh4iIiGgQNl3ejOK6EgB9J3glSDBLZvxPxQv43xm/RaQ60hclUj/ONF7DT/duRknNRQgABAiQIGNUeCR+lr0Ud4zPctu1zFYrdlw4C8crc0CSZRyouoyGjnbEhoa57fpERP7O/bcaiSjg2KZ3HbFN75L/KCkpQX5+PioqKvpM5+fn56O0tNSt1zOZTE4b3jayLMNkMrn1+kRERETDgUWyYHP1Zw6PkSGjw2rCrqt7vVQVOXOm8RrWFLyKg1cuAeiKF5Gut6Sr21rwvS8/wWuGQ267XrvF4rTh3V1Lp9lt1yYiCgRsehMNc7bpXUdxFUDP6V3yPaXT+Uaj0W3X1Gq1ijfAEQQBWq3WbdcmIiIiGi7Km0+h2dLi9DgZMvbWcijFX/x87xa0mjsdRo38x77PcbW91S3Xi9BoEKpW9uZ9lSAgPoxT3kQ0vLDpTTTMcXo3MPliOl+j0SAjI0PRdTMzMxltQkRERDQIrRblTVElzXHyvNMN17CvptJhwxvomv5+q+KIW66pEkXcmTkZKidDKSpBwK3pExHOtTkRDTNsehMNc5zeDTy+nM7Pzc1VdN2cnBy3XZOIiIhoOInSRCk+NkYT7cFKSKl9NZWKjpNkGUXV7nsn5obps6AWRQz015zt49+YOcdt1yQiChRsehMNc5zeDTy+nM7X6/XIy8sDgD4/M7bHeXl53PCUiIiIaJAmRqUrbmYvTJzv4WpICaskDdh47q1Tsrrtumlx8fjrrasRolL3mfhWCQJUoog/rFyFKbqRbrsmEVGgUBYARURBLTc3FwaDweExnN71H7bpfCWNb09M52dnZ0On06G4uBgGgwGyLEMQBGRkZCAnJ4cNbyIiIqIhUAkq5I2+GRuNbw94jAAB4apwLEjk+twfpMXEK9pUUiUImBib6NZr3zAuBdvWb8DG40fwnqEM9R3tiA7R4o6MSVg/ZTpSYuPcej0iokDBpjcR2ad3CwoKIIpij/gK22NO77qH2WyGyWSCVqsd9NS8bTq/oqLCYdSIKIrIyMjwyHS+Xq+HXq93y/MhIiIiop5WjroRl9qrsPPqLogQIaHb+hwitCotfpz5fYSrw31YZeCSZRkHai/i84sVaDGbMDI8CqtTpkAfObgGce7ocUiKiMal1iaHx1llGV+bOGNQ13AkKSoaP8pdhB/lLnL7uYmIAhWb3kQEgNO7nmY0GlFUVITy8vIer21ubu6gXlt/mc7XaDRsdhMRERG5mSiI+Hrqg5geOwVbqrehvLkCABCmCsOSEYuwYtRyJGoTfFxlYDrfXIfHd78PQ8MVqIWueD4ZMp4/tgt5+iz8dt6tCFeHuHROURDwizlL8fiOjwY+BgLyUjIxOYFRI0RE3iDISoNhvaypqQkxMTFobGxEdDQ35yDyJk7vuldJSQkKCwsdTtFnZ2e7fN7S0lKn0/mDOS8REXXherQnvh5EvtMpmWGWzAhThUIUuDXXYFW1NeH2zS+hobMd1n5aIaIgIEenx8tL7oPayZ5H/Xn71FH8omgLrJIM6XrgiUoQYJVl3JYyCc8svBWhas4eEhENlivrUf62JSLyIKPRiMLCQgDoE0Vie1xQUACdTufyxDen84mIiIiCnyRLqO9sgFmyQNSKCFOF+rqkgPXH47sHbHgDgCTL2FtzAVsuGpCnz3L5/OsmTMONyel4+9QxFFVfQKfVigmxibh34nRkxeuGWj4REbmATW8isnN3BAcBRUVFfSaxexNFEcXFxYN6jZmtTURERBSczJIZhVVfYEv1DlzrrAcAqAU1FibOwR1JN2NMGGMyXNFsNuG9c8cGbHjbiBDwz4oDg2p6A0B8aDgemzoPj02dN6ivJyIi92DTm4gA9IzgsKUeybKMiooKGAwGRmUMgtlstt9AcESSJBgMBpjN5iFtbslmNxEREVFwMFk78ZuTz6O8+SxkfLWWtMgWfHl1H4qvHcQvsr6HiVHjfVhlYDnbdA2dktXpcRJkHK+r8kJFRETkSQwDIyLFERxGo9HrtQUyk8nktOFtI8syTCaThysiIiIiokDw2oX3+jS8bSRI6JQ68TvDn9Bh5frRMwRfF0BEREPEpjcR2SM4HLFFcJByWq0WgqBswSwIArRarYcrIiIiIiJ/12ppwxdX9vTb8LaRIKPF0oq9taVerCywpUUnQKty/mZ3URAwNX6UFyoiIiJPYtObaJizRXA4ypwGekZwkDIajQYZGRmKbihkZmYynoSIiIiIcLjhBCyyxelxAgQUXWPTW6lIjRZrU6dC5WQoRZJlPDiRsY5ERIGOmd5Ew9xgIjj8vTnrT5s65ubmwmAwODxGkiTk5OR4qSIaKn/6+SIiIqLg02ZpV3ScDBktljYPVzN0rRYT2iydiNGEIUTBpLUnfWfyQnx+sQL1prZ+N7QUIWD+yHFYMTbDB9WRq6yShF2G89hdfh4dZgvGxEXhjtlZSIqP8XVpROQH2PQmGuZsERxKGt/+HsFhNBpRVFRk3zxSEARkZGQgNzcXer3eJzXp9Xrk5eWhoKAAoij2mKi3Pc7Ly/NZfaScP/58ERERUfCJ0UQpOk6EgPiQWM8WM0iyLGN7zUm8dm4vDtZdAACEiCrcMmY6Hhg/H+lRI31S16jwKLx704N4Yvf7OFFfA7XQ9Y5MCTJkWcZt47Lw9NxboXbyTk3yvWOV1fi3VzehqqEZalGEDBmyDPzl82Kszp6Mf1+7DCFqtryIhjP+BiAa5mwRHBUVFQ4jTkRRREZGht9OtpaUlKCwsBCiKNob+LIso6KiAgaDAXl5ecjO9s3bFLOzs6HT6VBcXAyDwdCjYZqTk8OGaQDw558vV3FSnYiIyL/NiJ2MMFUo2q0dDo+TIGPxiHleqko5WZbxTFkhNp4vhthtQ8hOyYpNlw6j8PIRPDf7fizQTfBJffrIOHy88hEcvnYZWy6Wo9XciZFhkVidMgVjI2N9UhO5pqKqFhtefAedFisAwNLr79gPD5ShucOEZx9YpXiPJW9raTOhYG8Zdhw6jdb2ToxKiMJtC6Zg/rQUqHjThcgt2PQmooCP4DAajSgsLASAPo172+OCggLodDqfTnzr9Xo2HANQIPx8KcFJdSIiosAQogrBqtE34Z2Lnwx4jAgRI7QJmB033YuVKfPRxYPYeL4YQFdjvjurLEGSgX89sBGfLPk+Rob5JoZCEATMTEzCzMQkn1yfhuZ/C3fBbLFCGuDdyrIsY+vx0yg9ewlz0sZ6uTrnio+fx0/+9AnaTWb7vyHlxivYfuA00scm4oV/XYsRcZE+rZEoGPD2ERHZIzgA9Nl00fbYnyM4ioqKFG0WWVxc7KWKBqbRaBAZGcmGdwAJpJ+vgZSUlCA/Px8VFRV9JtXz8/NRWspNsIiIiPzJ2rG3YFFi1xS32OvPdgECYkOi8fOs70ItqnxR3oBkWUb+mV1wNFsrA7BIVrxrLPFWWRRELtc3YU/5+X4z2btTiQLe2HvYO0W5oOxcNf71+Q/R3mnucUtIkroenbt8DY///l10mMy+KZAoiLDpTUQAuiI4NmzYgIyMDPtbwGyToBs2bPDb6Aaz2Yzy8nKH0SxA10SuwWCA2czFAykXDD9fSifVjUaj12sjIiKi/omCiCfSH8YPMx7DpOgJEK63kRNC4nCffjWemfbvGBU6wsdV9nW6uQYXWq/B2W5BEmRsunTEKzVRcCm/fNXpzxcAWCUZxy/WeLweV/3toyJIclf+eH+skozzVXXYss/xO7GJyDnGmxCRXSBGcJhMJkWbcAJdkycmk8nvnxP5j2D4+bJNqjvL7C8uLvbbd3MQERENR4IgYE78DMyJnwFZliFBgkrwr8nu3hrM7YqPbexs82AlFKxcyej2tzTvq/Ut2Hv0nNOmvSAA724/gjsWT/VKXUTBik1vIupDo9H4XeNuIFqtFoIgKGpMCoIArVbrhaooWAT6z5dtUt1Z/d0n1QPl330iIqLhRBAEqODfDW8AiNWEKT42JiTcg5VQsJqUpIMoCAPmeduoRAEzU8Z4qSplLl5tUDSlLsuAsabB0+UQBT3GmxBRQNNoNMjIyFCUuZyZmcmGHrkk0H++BjOpTkRERDRY6VEjkRKR6HTCVoSA25JmeKMkCjIjYyKxJGs8VKLjnzKrJOOeXP/a6FWjUn7jSqNiu45oqPhvEREFvNzcXEWZyzk5OV6qiIJJIP982SbVlfDHSXUiIiIKLIIg4OG0RQ6nWQUAGlGFO/X+uWcQ+b8f3LoI4SEhUA2wzhUArJ6dhRnjRnu3MCfSkxMRERbi9DiVKGDuZMYOEg0Vm95EFPD0ej3y8vIAoM9Eru1xXl4e84ppUAL55yvQJ9WJiIgo8NwxdibWp84H0DXR3Z1KEKER1Xg2+36MDIvxRXkUBMaNiMOrj69Dqi4eAKASRahVIgQBUKtEPLhoFp66+yaX8r+9ITREg7U3TIOoZEp9+UwvVUUUvJjpTURBITs7GzqdDsXFxTAYDJBlGYIgICMjAzk5OX7ZkKTAEcg/X7m5uTAYHO/+7q+T6kRERBR4BEHADybdjOyEFLx+rggl184BAEJENVYlzcD61FyMj9L5uEoKdOmjEvHBvz2AQxcuY5fhPDo6zUiKj0HezEzERSjPlve2R26bh6Lj53H28jVIUv/vifjaitmYPiHJy5URBR9BVhr26WVNTU2IiYlBY2MjoqOjfV0OEQUQs9kMk8kErVbLyVVyG9vPlSiKkCQpoH6+SktLUVBQYK/dxvY4Ly8P2dl8izFRb1yP9sTXg4gGo93SiXarGVGaUGhE/9+Mk/xfe6cZJacr0dRhQnxkOOakjXUpL9vXWtpM+P3G7di8zwCr9au1eWxkGDasmof7bprpd1PqRP7ClfUom95EREQOGI1GFBUVoby8vMeEd25url9PePdmNBr7TKpnZmb6/aQ6kS9xPdoTXw8iIvIls8WKP39WhDf2HEGrqdP+8fjIMDyydA4eXDwroJrF9U1tKD5xAe0mM3RxkciZPA5qdeA074l8gU1vIqIgxSl27yopKUFhYWFQTUjzZ4hIOa5He+LrQUT0lcqmBrxdcRznGuuhVamwMGkcbknNQKiaKbKeYLZa8Z2XPsLeigsYqIt1d85U/PudywOq8U1ErnFlPcrfxkREASBYpo0DidFoRGFhIQD0aHh3f1xQUACdThdQ3wONRsNmNxEREdEgmSUr/n33VrxVfhSiIEAGIAB479QJ/GfRF3hh6SrckJzq6zKDztt7j2Jv+QU4mtp8p/gYlmSNx+Ks8V6ri4j8l+jrAoiIyLGSkhLk5+ejoqICtjfnyLKMiooK5Ofno7S01McVBqeioiKIouP/TIqiiOLiYi9VRERERES+9qOdm/FW+VHIAKyyDEmWYb2+Rm8ydeCRLe9hf9VF3xYZZGRZxmu7Djk9TiUKeH238+OIaHjgpDcRkR/zxLSxJ+MtgiU6w2w226fqHZEkCQaDAWazOaCfLxERERE5d+RqFT48XTbg52UAsgz8qvgLfLLmQafns0oSdl44j+0XzqLDYkFSVDTuzJyM5JiYIdfaYurElopTqGpuRphGg6XjUzE+IX7I5/WFqvpmXKxrdHqcVZJRfKoSkiRDFBlxQjTcselNROTHbNPGvRve3dmmjZ01vT0ZkRJs8Ssmk8lpw9tGlmWYTCY2vYmIiIiC3Otlh6ESBPtkd38kyDhWW4MT12owOWHkgMcdu1KDbxV+jEvNTVCLon3t+cL+IqzJzMJvlt4E7SDywSVZxgt7ivCP/QfQYbFALYqQZBlPb/8S8/XJ+F3eSoyOinL5vL5kslgUHyvJMqySBFHkhpBEwx3jTYiI/JRt2thRwxvoOW08EE9GpARj/IpWq1W8AY4gCNBqtR6uiIiIiIh87fi1Kw4b3t0Zrl0d8HOn6q7h3vfeQlVLMwDAIkmwXo9JkQF8WH4S39m8SfEQho0sy3jys23449596LjeKLZIEqTr59lXeRF3vfomrra0unReX9NFR0KtUta+SowKh0bNhjcRselNROS3BjNt3B+lESlGo9HlGj15bl/SaDTIyMhQlOmdmZnJKW8iIiKiYUBUOBTh7Njf7vkSJqvF3ozuTZJlfH7uDPZUuraGLr14CW8eOTbg562yjNrWVvzvrj0undfXIkJDcMuMDKicRJaIgoB1udO9VBUR+Ts2vYmI/JS7po09uSFjMG/2mJubq2jKPicnx0sVEREREZEvzRk1FiqF6/MZujH9fvxycxO2nz/rdGJcJQh49dhhl+p77dARp/VZZRkflRnQ1NHh0rl97etL50AtigPeTFCJAmLCQ7Eud5qXKyMif8WmN5ETZrMZLS0tDqMjiDzBHdPG7oxI8ea5/YFer0deXh4A9Pke2B7n5eUFZGY5ERFRoLFIZpxo3ImN53+Jv5z6Bl4686/Ye/UdtFqcb25H5C7rJ81Q1KyeP0aP1Ji4fj9ffq0WSt7LaZVlHK2pdqm+fZUXFcWvdFqtOFEzcPyKP0oblYC//MtahIVo0L3tbeuBx0eG46Vv3YWEqHCf1EdE/sdvNrI0mUw93prf1NTkw2qIgm9jPgpMubm5MBgMDo9xNG3syQ0Zh8Nmj9nZ2dDpdCguLobBYOjxuyAnJ4e/C4goqHF9Tv6iobMaG8//O+rNVRAgQkbXDffqjtPYdXUj1oz9KSZGz/NxlTQcpMXG4/EZ8/Dnw/v6/bxKEBCq1uCp+csHPIcrESlK3/VpY5WUZ4BLsuPBFX80J20sPvvl1/FJ6Ul8ergcDa3tGBEdiduzs3DLzAyEavymxUVEfsBvfiM8/fTTeOqpp3xdBhGAro35CgsLIXbbRdu2MZ/BYEBeXh6ys7N9XCUNB7Zp44KCAoii2GOq2vbY0bSxLSJFSXPa1Q0ZPXluf6LX66HX62E2m2EymaDVagOueU9ENBhcn5M/MFnb8Nr5n6PJXAsA9oZ31z/LsMgWvFf5GzyY+jskhWf6qkwaRn6UvQhRGi3+cKgIbRYz1Nf/ZrTKMibEJeC5paswIS5xwK/PStRBFIQB87xtVIKA2aP7j0gZyCRdIoqNF52eWwCQlpDg0rn9RXRYKO5fNBP3L5rp61KIyM/5TdP7Zz/7Gf7t3/7N/ripqQnJyck+rIiGK6Ub8+l0Ok55klcMZdrYFpFSUVHhMIZEFEVkZGS41Mz15Ln9kUaj8bvnwEY8EXkS1+fkD441fIFG8xUHR8iQIWPX1Tdw7zjepCHPEwQB35oxDw9OnonCcxW40FiPEJUKC5LGYZZujNPp7BEREVg5Ph2fnT3tMIrEKstYP3WGS7XdP3M69l6odHiMShCweHwKRkVFunRucqyuqQ07Dp5GY0s7oiNCsWRWOhJiInxdFtGw5jdNb61WG7BTgBRcbBvzOWviFRcXs+lNXjOUaeOhRqT46tw0MMYvEZE3cH1O/uBg/adOj5Eh4UzLATSZaxGtGXjClsidIjQhuHvilEF97U8WLMaei0a0dnb22/gWANyRMQlzxyS5dN7l6WnIThqDg5er+p32FgUBapWIf1u0YFB1U18dnWb8fuN2bNpdBkmS7L2EZ17/ArfOz8KP7l+GMC2HU4h8gRtZEnUT7BvzUeDTaDSIjIx0aarXkxsycrNH7yspKUF+fj4qKir6xC/l5+ejtLTUxxUSERG5T0On8o38HE+EE/mPcTGxeO+u+5Ae3xUxohZEaEQRIgSoRREbps/CMzfe7HKmt1oU8fe7VmNhyjgAgOr6etyWIx4bFop/rrsTk3Qj3Phshi+zxYrvPfsBPtl1AlZJggx0+/8yCvaU4Tv/8x46zRZfl0o0LPnNpDeRPxgOG/ORc8EYGeHJDRm52aP3MH6JiIiGG5WggVk2OT8QgFoI8XA15AvXOlpxqbURGlGF9JhEaESVr0tyi/T4BHx634M4WH0ZX5w/B5PFgqSoaNyekYmEsPBBnzdKq8VLd6/B8eoavHe8DFVNzQjTqLEsbTxWTEyHVq2GJMto6jBBLQqI5Dt6Bu3jXcdxsPzigJ+XZBlHz1zGBzuP4Z4bmUFO5G1sehN1M1w25qP+BXtkhCc3ZHR27mC8keALjF8iIqLhJj0qG2WNuyDB6vC4MFU0dNpxXqqKvKGsvgZ/OLELWy+eQtfsLBCvDcf69Fn4xqRchKkDf00pCAJmj07C7NGuxZgoMWXUSEwZNbLHx661tuEvu/dj44EjaGjvAABMHJGAB+bMxNrpWdCoguOGgjfIsow3tx6CAMBZ9+DNrYewbvkMlyf3iWho2PQm6ma4bcznbf7c+CwpKUFhYSHE67uvA19FRhgMBuTl5SE7O9vHVbqHJzdk7H3uYL+R4E22+CVnN+W6xy/5279nRERErsqOX4XjjTscHiNAwOz4PKhE/ndPqYbOVuy6YkCTuR3x2ggs0k1CpDrU12XZ7ak+h0e/fBtWWbI3vAGgztSGP5btwY6qM3ht6f2I0HC6X6nzdfW4/5/v4FprW4+871NXr+HfC7di88kKvHjPHdCq2SZSorWjE+er6pweJ8vAxSsNaGzpQGxUmBcqIyIb/jYj6oUb87mfvzc+GRnhGcPpRoI3MH6JiIiGo6TwTCxIvAd7at/q9/MCRIwJm4D5iXd5ubLA1G7pxP+c/ASFlw/BIksQIUCCDK2owd36HDw+cQXUPo4Pae7swLd2vwezJEHuZ4ZWkmUcr6/Gbw9vw6/m3OKDCgOPRZLw6BsfoK5Xwxv4akp573kjfrf1Szx58zLvFxiArFbH+4D1ZnGybxgRuR83siTqhRvzuVcgbLpni4xwxBYZQcoovZFgNBq9XlugssUvKcH4JSIiCiY36Nbj1tHfRpQ6scfHNYIW2fF5uD/lv6AR+d89Z0xWM75d+hI2XToIi9y1HrNNUZskM14/vxs/P/wGrLJvm3Pvnz+GNktnvw1vG0mW8e65o2jq7HDLNWVZRrvFHLSNyR2nzsFY3wirgwEKWQbePnQcje3ueU2DXVR4KOIUTm5Hh2sRG8kpbyJv46Q3UT+4MZ97BMIEta8iI/w56sUdmD3tfoxfIiKi4UoQBMyMvxnT425CZdsJNJuvIUQMx7iIqdCqBr/h33DztrEIxxsqB2wmy5Cx40oZtlYdw8ox071c3Ve2VJYrOq5TsmJX9Vnk6bMGfa2a1ma8cvIQXjccRoOpAwKA+aP12DB5Nm7UpwdNBvOmEwaoBMFh0xsAOq1WbKs4g7XTJ3upssAligLuXDodL23aB0ka+HUVRQFrl06HWsWZUyJvY9ObaACe3PRvuAiExqe3IyP8PerFHZg97TmMXyIiouFMFFQYFzHN12UEJEmW8PaFIofT0wAgQsBbF/b6tOndZO5wujGgTau5c9DXOV5bg699+haazSZ75IcMoLi6EnuqjFifOQO/nn9TUDS+61rbnTa8AUAUBNS3tXuhouBwz/KZ+HjXcVxrbIW1n8a3ShQQFxWOe2+c6YPqiIi3moic0Gg0iIyMZFPORbbGp6OGN9Cz8ekL3oyMCISoF3cYzI0EUobxS0RERDQYVzqaUNPR6PQ4CTKON1bCIlm9UFX/RodHQ1S4PteFRQ3qGi2dJjyw5e0eDW8bW3P4NcNh5J84MKjz+5u4iDBFr6kky4gNYwyHUrFRYfjbT+9B8sg4AF1N7u7/f8yIGPztp+uQEBPhsxqJhjNOehORRwTKpnveiowIhKgXd7HdSFDy/Wf2tOsYv0RERESussiuNbElxbPW7ndX6jR8cfm00+PitGFYMCplUNf44EwZ6jqcTzT/5eg+PJQ1Cyon+//4u1uzJuLTsgqnx2lUIpZNHO+FioJH0ogYvPWrh7Cv7AK27DOgvqkdsZGhWDEvA7lTUiGKgf9OAaJAxaY3EXlEIDU+vREZEQhRL+7C7GnPY/wSERERuSJRG41QUYMOyfm7K3XaaISIvmsVLE+aiNSoeBhb6h1Gcnxr0nxoRNWgrvHeqeMQAKet/SvtrdhfcxG5owN7fb58YhqSYqJR3dQ84GsqCgLunD4ZceGc9HaVKArInZKC3Ckpvi6FiLoJ7NuVROS3bI3P3hEMvQmCgPT0dC9V1T9PR0b4IurFbDajpaXFZ7Exubm5ip4vs6eHhvFLREREpESoSoNVY2dBJQy8NpdlQJYFzIxPw4mGS4rftelualHEK0vuw5jwGAgAus/J2up/aGI2HsmYO+hr1La3KZ5lv9beNujr2NS1t+Hk1Ss411DfJ07FG9SiiH/ctwax4aFQ9Yo5sb3Gc/RJ+PlNS7xeGxGRp3DSm4g8RskEtSzLOHXqFJ5++mmfbujoycgIb0a9+MtGmbYbCQUFBX0m3G2PAyV7mtPUREREFAweSF2MLZePoNVi6hFfIsuAVRYgyV3tz08uHsUnF48iJSIRj01cipvHeH/z0KSIGGy6+et4/9wxvH76IIwt9dCIKiwclYr1E2YjVzduSBtMxmhDUdniPOMcAGK1oYO+zpHqKvypZB+2nTtjf8XHRkdjw4zZeGDaDKi9GJuSlhiPjx5dj1dKDuHNA8fQfH1fnXHxsXhw7kysmzkVIarBTc57S1llDd7dewynq2qhUakwZ0Iy7sydghExkb4ujYj8kCD76vatE01NTYiJiUFjYyOio6N9XQ4RDVJpaSkKCgoURZ10b4ZmZ2d7qcK+3N3kNJvNePrppxVHvfzsZz8b1HVLSkpQWFjosMns7dfVaDT2uZGQmZkZENnT/nIDgYh8h+vRnvh6EAW+iqYqfP/Ay6g1NcO2NLVI4vWGbN8JYBnA9zJXYEPaIu8W6mF/PbYfT+/f4XTaO1Ybiv33PQ6tyvV5wc/OnMIThZ8AQI9IEdurvCw1DX/Ju92rjW8biyShvq0dKlFEXFjokG4geIPJbMEvXtuMzw+fgkoUYJW6Xk9REAAB+Onapbhn0XQfV0lE3uDKepST3kTkUdnZ2bh27RqKi4udHusvGzpqNBq3TvR6I+PaXzfKDNTs6e43EGw3K2RZRkVFBQwGg89vzBARERENxsTo0ZgWk4qt1ccAQYYkC/02vIGv8q6fN3yG3MQ0ZMaM8WKlnrVuwlQ8f3AP2i2WATftFAA8Mnn2oBre1S3N+M6nmyDJcp+z2x5/ce4MXizdj2/P9X7cn1oUMSIywuvXHaxfvr4F2450bW5qa3gD6IqKkYHfvPsFIsNCkJc9yVclEpEfYqY3EXmUbdLXFbYNHYOJpzOubRtlOuLL1zWQsqeV3kAwGo1er42IiIhoKAyNl/FZ9XFIEGCVRHukiSMqQcSb5/d5p0AviQsNwz9uWguNStVvxjUArBg3AU9Mzx3U+d84fhTWfhre3ckAXj5yEGardVDXGC5OXryCzw5VOM1Cf/ajXbA6+XuLiIYXNr2JyKOUNGN7c+eGjv7Ck5tl+mKjzGDm7zcQiIiIiAbr/crSXptZOo+1sMoSdl5xvE9PIJo/ZhwKVj+EtemToRG/yrJOi03A0wtW4C/L7hh09MiminJFG1bWtbfjUHXVoK4xXLy/9xhUovOf06tNrSgyXPBCRUQUKBhvQkQeY2vGDmbrgKFu6OiPPLVZpjc3ygx2Sn9mu99A4GtJREREgeJMcw2ssuvTsCarxQPV+N6E2AT8fvGt+H+5N+JqeytCVWrowiOHnHHd0mlSfGyzC8cOR+dq6npEmgxEFARcuFKPhVmpXqiKiAIBm95E5DGuNGN7EwQBWq3WzRX5nicyrrVaraKNQoHgfV3dhTcQiIiIKJipu000KyUAGB0W6/Za/Em4JgTjNCFuO9+IiEjUtrU53SgTAEaEB062ti+EqJX9zMqyDI3CY4loeGC8CRF5jK0Z6ypRFJGZmRnUzUR3ZlzbNspUEsnhD6+r2WxGS0uLX8asuPIzyxsIREREFGiy41MhXo806VryyICC1uxd+jkerSvY3J012ekxAoCU2FhM1Y30fEEOSJKMc7X1KK++isb2Dp/W0p+5E/VQsjyXAWSnj/V4PUQUODjpTUQeY2vGVlRUOM2b7m4oGzoOV7m5uTAYHGct+vp1NRqNKCoqsseH2KJdcnNzBx3t4m5Kf2ZFUURGRobPbyAQERERuWJ1cjb+dno7cP2dbQJsLW8Z/eV7qwQRidpI3DZ2hveKDAJrMifjD/uK0WDqGDDbWwbw7Tk5Q45SGaxOixWv7juEV/cdQnVTCwBAJQpYMWkCHls0FxmjRvikrt7umDcZfyzYA7N14LW5ShQwI3UMxo9K8GJlROTvOOlNRB6Vm5uruOE91A0dhzNPbpTpDiUlJcjPz0dFRYU9PkSWZVRUVCA/Px+lpaU+qas/Sn5mfX0DgYiIiGgwRoRG4cdZefbHgtC91f1Vc9b2sRHaKPwt5xFEakK9VWJQiNZq8eqauxCt1ULs1dRWXX/8nbk5WDvJ+US4J3RaLPjG6x/g91t32RveAGCVZHx28hTu/vsb2HvGPzaFjIsMw5P33gig/21XVaKAcG0Inrz3Ju8WRkR+T5AHG7jrYU1NTYiJiUFjYyOio6N9XQ4RDUFpaSkKCgogiuKAzURBEJCZmTmkDR2pa5q690aZvn5djUYj8vPznR63YcMGv/neD/Qza3ucl5eH7OxsH1ZIRN7A9WhPfD2IgkfBpcN4wbAFV03NECFAkmVIALSiBpFqLcaGx2N18mzcnDQVYSr3ZV0PN1fbWvHm8aN44/hR1LS0QKtWY2nKeDw0fSbmJvkuiuP3n+/C/+09MOBeNoIAhKo12P6vjyI23D9ueGw9cgr/+9GXuHStqcfH50xIxi/XLUeKLs5HlRGRN7myHmXTm4i8YqBmbHZ2NnQ6nVs2dKSvuHOjzKF66623FMeFrFu3zouVOeaPNxCIyLu4Hu2JrwdRcLHKEoqunsL5llqoRRWyE1KRHuXbfOlgZltP+lpbpxkLf/9XtHU63l9HAPDjFYuxYf5s7xSmgCTJOHDmIs7V1EGtEjErbSyb3UTDjCvrUWZ6E5FX6PV66PV6v2rGBjONRuMXr6/ZbLZneDsiSRIMBgPMZrNf1A3wZ5aIiIiCm0oQsVCXgYW6DF+XMiz4Q8MbAPadq3Ta8Aa6wm42n6jwq6a3KAqYMyEZcyYk+7oUIgoAbHoTkVf5SzOWvMNkMjlteNvIsgyTyeR3Px/8mSUiIiKiYNFiMik+trGjw4OVEBF5FjeyJCIij9FqtYqnWgRBgFar9XBFRERERETDV2JkhKLjREHAyKgoD1dDROQ5bHoTEZHHaDQaZGRkQBQd/+dGFEVkZmZyopqIiIiIyIPmjBuLEQoa35IsY82MLC9URETkGWx6ExH1Yjab0dLSArPZedYdOZebm+twE0ugK9M7JyfHSxURERERUaDotFpxrqkOZ5vq0GG1+LqcgKdWifiXhXMcHqMSBIyKjsTNkyd6qSoiIvdjpjcR0XVGoxFFRUX2jRcFQUBGRgZyc3Oh1+sHfd6hbIQYDJso6vV65OXloaCgAKIo9miA2x7n5eUN6TUmIiIiosGzrX39SYOpHX87sR+vVxxGY2dXtnSkJgT3TpiOb06ehxFhymI6bGRZRmn1Jbxx8ihO1V+DVqXCwrEpuG/SNIyMiHT69VZJwi7jBRy9Ug0AmKYbhUX6cVA5eUejP3pg3gxU1jXg1f2HoRIFWKWv9uARBQFxEWF46YE7Eaphy4iIApcgK91hzMuampoQExODxsZGREdH+7ocInIjf2zklpSUoLCw0GFTNjs726VzDqWJ7qkGvC8ZjUYUFxfDYDDYn1NmZiZycnIC9jkRUXDjerQnvh5EweVM81VsPLsfBRePotliQpRai9uSp+NrqXORGpXo09qutLfgrk9fx8XWRki9WhYqQcCIsAi8c/N6JEfGKDpfm7kT3/r8E+ysPAeVIMB6/ZyiIEAA8P8W3oj7s6YP+PVfnDuLX+7YiqqWZqiu3xywyjJGR0bh10tuxLLU8YN7oj4kyzL2njXi1X2HsOfMBVisEkbFROG+7Gm4e/ZUxIWH+bpEIqI+XFmPsulNRF7jr41co9GI/Px8p8dt2LBBcZ1DaaJ7ogHvT/zxpgcRUX+4Hu2JrwdR8Nh86Th+fOB9AIBV/mq9qRJECAB+n30Xbhrjuzzne7dsRMmVi/bmdG8qQUBG7AgUrHrY6YS6LMvY8On7+PLi+T4N9O7+sHwVbkvP7PPxz8+exjcLPuo6V6/P2a7817w7cNP4dId1+Dt/nPYnIurNlfVo4L0Ph4gCUklJCfLz81FRUQHbvTZZllFRUYH8/HyUlpb6rLaioiJFGy0WFxcrOp/RaERhYSEA9Mmytj0uKCiA0Wh069e6gzfyzDUaDSIjI9nwJiIiIvKBsobL+NGB92CVpR4NbwD2j/2w9F0YGqt9Up+h/iqKayoHbHgDXVPWZfVXcODqJafnO1hzGTsqzzlseAPAb/d92eeYTqsVP9m2BUDfhnf3j/1k2xZ0Wq1Oa3FFi6kTbx0+ht9s3Yn/3r4LO06fg9XJPjlDwYY3EQUbBjQRkccpbeTqdDqvT3ybzWb75LkjkiTBYDDAbDY7bdbamuiONm+0NdF7P9+hfO1Q+OsUPhERERG518uni9AV6tH/+le+/r9XzxTjv2at9mJlXT69UN4jgmQgakFE4YVyZOvGOjzujZNHFZ3vUksTii4ZsWDsOPvHtpw5hfqODodfJwOo7+jAZ2dOYdXEvpPirpJlGS/tP4jnd+1Fu9kC9fXhnL8Xl2J0VCSeuf0WzNM7fs5ERMRJbyLyAndPUruTyWRy2vC2kWUZJpPJ4TG2JrqjpjXQs4nujq8dCn+ewiciIiIi9zFZzdhy+USfCe/erLKEgkvH0ClZvFTZV5rMHRAVTB3LAJo6HTekAeB0Q53ThrfN+aaGHo8PVF22N50dUYsiSqsuK7qGM3/Zux+//eJLtJu7XnuLJMFy/e+DmpZWPPzGeyitdD7hTkQ03LHpTUQe5atGrlJarVbxW/kEQYBWq3V4zFCa6O5uwCvh6zgVIiIiIvKexs52WJw0vG3MkhUt5qGvN12VGBqhuEmdGBrh9BitSqX42ppeDW5nkSjdObuRoERVUzOe31U04OclWYYky/j3zVsV/91ARDRcselNRB7li0auKzQaDTIyMhRNomdmZjqNNhlKE93dDXgl/HkKn4iIiIjcK0KjfP0oAAhXh3iumAHcnpql6O8Hqyxh9fjJTo9bNDZF0eS4ACB3THKPj2UkJCrK0bZKEjITRjg9zpm3Dx9zeowkyzhdW4dDl6qGfD0iomDGpjcReZQvGrmuys3NVTSJnpOT4/RcQ2miu7sB74y/T+ETERERkXtFqLXIGTHeaRNYJQhYqEtHqMr7G48nR8Ygb1ymwxpVgoDFY1KRGee80XxP5lRFz/eG5FQkR8f2+PjtGZnQqp1vhaZVq3F7xtDzvI9UVSuaLhcFAUerfLPRKBFRoGDTm4g8ytuN3MHQ6/XIy8uz19G7LgDIy8tTvKHjUJro7mzAO+PvU/hERERE5H4Pp+U6baxaZRkPpuV6qaK+fjf/FswekQQAEPFVw9r2T5lxOvxh0e2KzjUiPAK/WXRTj6/vTiUIiA0Nw68X3djnc1EhWvwod6HTa/wwZyGiQtwwvONCYgnTTYiIHGPTm4g8zpuN3MHKzs7Ghg0bkJGRYZ9MFwQBGRkZ2LBhA7KzsxWfayhNdHc34B0JhCl8IiIiInKvRSMn4PGMGwD0bCh3f/ydzKWYr0vzem02EZoQvH7Tvfjv+bdgUrzOXuWEmET8et4KvHfz/YjRhio+37rMqXjxptv7THILAG5ITsVHa+7H2KiYfr92w/RZ+OmCxVCLIoRu/ycKAtSiiJ8uWIxHZswa3BPtZfIonaIoFkmWkTVy6HEqRETBTJD9dPeDpqYmxMTEoLGxEdHR0b4uh4Yps9kMk8kErVbrkwnkYFJaWoqCggKIotijAW57nJeX51Jj2ZPc9X03Go0oLi6GwWCALMsQBAGZmZnIyclx2rQeyte64q233kJFRYXDmxKiKCIjIwPr1q1z23WJiAIB16M98fUgX7rUXok9tdtR3XEZakGNiVFZyE1YjAh1pK9LC1ifXy7D/53eg2P1l+wfmxE3Fl+fsBDLRg89qsOdbLnaKifvHnVGlmXsq7qI84310KhUmDt6LJIHaHb3dq29De+UHcexKzUAgKm6kbg7awoSwsKHVFN3FxsasewvLzkc+BYAjIuLxWfffFjxAAsRUbBwZT3KpjdRP4xGI4qKilBeXm5vOGZkZCA3N9etDcfhxluNXH8zlCa6p2+8GI1G5OfnOz1uw4YNQf09IiLqD9ejPfH1IF8wS2a8duHvKKnfCxEiJHQ1PwUIUAkqfE3/deQkLPJxlYGtqr0RDZ1tiAsJx6gwZQ1g8pxntu/C34pL+/2cgK53YP7fPWuwMHWcdwsjIvIDrqxHne/IQDTMlJSUoLCwEKIo2vOOZVlGRUUFDAaDX00kBxq9Xg+9Xj/sJug1Gs2gn+dQvlYJW5yKsyl8NryJiIjIF1698DccqC8GAHvDGwBkyLDIFvzzwl8RqgrFjNg5viox4I0Oi8FoNrv9xg+XLESISoUXi0pglWWork9zWyQJMaGh+O/bVrLhTUSkAJveRN0YjUYUFhYCQJ+4B9vjgoIC6HQ6NgGHwNbINZvNaGlpUdz8Hm7Ncm/Jzs6GTqfrM4WfkZER9FP4RERE5L+MbedQWl/k9Lj3Lm7EtJjZEAVuWTVYsiyjoukK6jvbEBsSjoxondPoDENDDXZXn4NJsmBcZDxuSpoIrYothqESBAHfWzwf67Nn4INjZThTWwe1SsTc5LFYkZEOrZqvMRGREi7/trQ1Q/r7uG3EnChQFRUV9Zl27U0URRQXF7MROASuxscwbsbzhusUPhFRMOD6nILVntodPSJNBnKt8ypOtRiQEZXlpcqChyzLeP/CEfy9Yg/OtVyzf3xcRDz+ZeJ83JUys8/vl3PN1/CjfZ/g0LVLECFAEARYZQlRGi2+N2UxHp4wh1nTbpAQHo5H5/EdxkREg6W46W0ymfDxxx+joqICWq0Ws2fPxg033ADx+kYSra2teP755/Hkk096rFgiTzKbzfamqiOSJMFgMMBsNrMpOAiuxscwbsa7PB2nQkRE7sP1OQW7y+2VThveNtUdl9j0dpEsy/jv45/jpVPF6N2iNrbW4ZeHNqG86Qp+MW2lvYl9vrkOd259GS1mEwBAggxcX6M3m0349aHP0dzZge9OWezNp0JERNSH4qb3F198gZqaGqxZswYdHR348ssvUVVVhXvuuQcqlQoAnDYLifyZyWRS/DMsyzJMJtOwbA4OZRLY1fgYxs0QERENjOtzCnYqQeWRY4PFpbZ6fFh5AJVtdVALKuQkpuGm0ZOhVSlbo2+vrsBLp7ry0nv/prA9fvXMfsxNHIcVSZMAAL869BlazCZYHfxuef7ELtw2bjJSoxJcfUpERERuo7jpXV5ejtWrVyMlJQUAkJmZiY0bN+KNN97AvffeCwB8CxMFNK1WC0EQFP1xKAgCtFqtF6ryH+6IGHE1PoZxM0RERAPj+pyC3cSoLJxqMUDu05LtKz0y0wsV+QezZMVvj2/C+5WlEAUBstz17/qmS4fxuxMF+O3MdVigm+D0PK+c3geVIDhsYIsQ8MrpfViRNAkXWxuws+qM0++GShCw8fRB/GLmTS4+MyIiIvdRvNNHa2trjzzA8PBwPPDAAzCZTNi4cSPMZrNHCiTyFo1Gg4yMDPtbggciiiIyMzOH1ZR3SUkJ8vPzUVFR0SdiJD8/H6WlpU7PYYuPcdTABr6Kj2lra3PpeP4OIiKi4Ybrcwp2CxKXQOgTvNGTCBETIjMxKnSMl6ryvaeOfoj3Kw9ABmCVZUiQYZW71swtFhO+W/oaSq+dc3iOdosZxVfPO2x4A13xJaXXjGgxm3Cw9pKC2w9dNRVfuaDw2RAREXmG4qZ3TEwMamtre3xMq9XigQcegNlsxltvveX24oi8LTc3V1GTNScnx0sV+Z7SiBGj0ejwPK7GxzQ3N7scN0OByWw2o6Wlhc0ZIiIXcX1OwS5GE4e7kx8Y8PMiRISIWtynf8SLVflWWeMlbLp0eMDpdxkyZFnG78s+dXiedmunS9dts3TaG+tKWFw4lvyLLMuobmjGhdoGtHdyfU5EgUtxvElaWhoOHz6MCRN6vk0qJCQE69evx6uvvur24oi8Ta/XIy8vDwUFBX1iNWyP8/LyhlWUhrsiRlyNj4mKimLcTJBzR2QOEdFwxvU5DQc3jLgJoWIYPrj0JposDRAg4nprFykR6bhf//VhNeX97oUSqATRYQNaggxDUxVONl7GpJj+X5soTSi0ohomyeL0mhpRhdiQMEyMGaGoRpUgYlLsSEXHkv8wW614u/goXt19CJV1jQCAEJUKt82ahK8vyca4xDgfV0hE5BrFTe8lS5agubm538/ZJkqqqqrcVhiRr2RnZ0On06G4uBgGg6FHMy4nJ2dYNeNskSTOGs/dI0YGin2xxcdUVFQ4baBnZGQgPDzcpeOHU9xMMCgpKUFhYSFEUewTmWMwGJCXl4fs7GwfV0lE5N+4PqfhYl7CQmTH56Ks6ShqOqqgEtSYGDUJSWHJvi7N6042VimeuK5oqh6w6a0RVVg9bjrePX/I4flUgojbk6ciRKXG5LhRmBw7EicbrkByEHRilSV8LW2WohrJP3RaLPj2Kx9jb0XPWJpOqxUfHjiBwiPl+MejazFj3PC5wUREgU9x0zssLAxhYWEDfl6r1do30SEKdHq9Hnq9HmazGSaTCVqtdlg2VV2NJDGZTA5fp9zcXBgMBofn6R4f4+rxFBiURubodLphdZOJiMhVXJ/TcKISVJgaMxNTY2b6uhSfEl3YnNbZsQ+lz8MHFw5DktFvC1u4fo4NE75aa/9sxo14cOdGCAN8jQgBy5MmYHbiWMV1ku+98Nle7D11od/vqVWSYTJb8K38D7H1Z48iQhvi9fqIiAZDcaY30XCk0WgQGRk5LBvewFeRJEooiRixxccA6LNhqO1x9/gYV4+nwGCLzHHEFpnjLcwVJyIiokAwK34cVIKyP+OnxTqehE+LSsSLufdCq1L3aZCLgoAQUY0/5azDhGid/eO5I1Pw14V3I1zd1fgUr280aqvpluRJeD53jeK/Icj32jrNeLPoKBzNOkmyjKZ2EzYdOunxemRZRml5JfI378f/fbofu46dhdXJvltERP1RPOlNRMOPq5EkSm4OuBofw7iZ4OLOyBx3YK44ERERBZK79HPw6rm9Do8RIWBWQgrGRSY6Pd+CkWn4bMW38da5g/jQeBQNnW2IDQnDbclTcW/qbIwOj+nzNcvGTEDxHd/DRxeOY2/NeZisFugj47Bu/AzFud/kP4pOXVC0YaUAoPBIBe7Jme6xWg5UXMSvXvscxisNUIldN06skgxdbCR+fM9SLJuZ7rFrE1HwYdObiBzyRMSIq/ExjJsJHu6OzBkK5ooTERFRoBkXmYhvpC/B307v6PfzKgjQqjT46eQ8xeccGRaN72YtwXezlij+mnB1CO5Lm4X7mN0d8JraTIqOkwE0tLZ7rI7S8kp86/n3IV3PmLdKX/3NcLWhBT/86yd4+uu3YuWcDI/VQETBhfEmROSQJyNGXI2PGe5xM8HA3ZE5g6U0V9xoNHrk+kRERESD9a2Jy/D9zJUIV3VFjKgF0R4vkho5AvnzH0V61EhflkgBJD5y4L0huhMFASOiIzxSgyTJ+I9XtkCW5X5jVmR0TZr/6rXP0W5iHCERKTOoSe+6ujocPnwY9fX1uPnmmxEREYFTp04hJiYGOp3O+QmIKKAwYqQvTp0Pjicicwbi6HtkyxV3VkNxcfGw/PkmosDD9TnR8CEIAh5OW4h7xs3F59UnYGy9hhBRhbkJaZgelzws87SrWppR3dqCcLUaE+ITXdrwc7jLnaBHdJgWTe2OJ74lWcYds7IGdQ3DxSv4uLgMNfXNCNNqsGhyKpZNT4dGrQIAFJ28gKq6ZofnkAG0mczYXGLAmoVTB1UHEQ0vLje9z58/j9dffx16vR4XLlzAsmXLEBERgZqaGhw6dAjr1q3zRJ1E5GOMGOnCDOih80RkTnfOvkf+litORDRUXJ8TDU9h6hDcPnamr8vwqb2XjPjjgWLsvfTVu/PGREbhkWmz8fDUWVA72TydgBC1GhsWZ+P5LXsGPEYlCEiMisCKqRNcOndrRyd++nIhdh0/B5UoQJJkiKKATftPIj4qHM/+y22YPn4MDp++BJUoOt2wUiUKOHzmMpveRKSIy/8F2LZtG5YtW4YHHngAKpXK/vHU1FRcvHjRrcURkf8ZzhEjJSUlyM/PR0VFRZ8M6Pz8fJSWlvq4wi5msxktLS0wm/3zrX+ejMxR8j0aTK44EZE/4/qciIaj98pP4P6P30bx5coeH7/c0oz/2rsD39ryESxOmqiedrGhEX8vLsUz23fhH/tKcamxyaf1DOTRJXNwx+xJANBnSl4UBMRGhOFvj66FVqN8btIqSfjuix9hz4nz1x/LkPFVVndDSzu++Yf3UHHpKiRJhpLhfPn6eYmIlHB50rumpgZr167t8/GIiAi0tbW5pSgiIn+jNANap9P5bOI7kKbQPRGZo/R7FB8fD0EQFDe+zWYzp72JyK9xfU5Ew835xnr8ePtmyEC/azoZwNbzZ/CPI6V4bOZcr9fX3GHCzwo/w2flpyEIAkRBgCTL+O8vduHmzAn4r1tvQpSH9q4ZDFEU8F93r8TSrDS8tucwDpy9CBlAQmQ47smZhntzpyMhMtylc+48dhYHTg9841WSZZitVvzpk71YOXMiLFbnzWxZkhEeosHxs1VIT0pEqJbrcyIamMtN79DQULS0tCAuLq7Hx6uqqhAdHe22woiCwXCPAgkm/p4BXVJSgsLCQoii2GfC2WAwIC8vD9nZ2V6vyxF3R+Yo/R6VlpYqyhW3eeGFF/z6BgIREdfnRM5VtlVhS/UunGrpisHIiEzBylGLkBTODR8D0avHDzs9Rgbw0tED+Jfp2VB5Meak3WzGAxvfheHKVXtTXurWmN9SfhoXG5uw8f51CHVhctrTBEHATVMm4KYpE2CVJFiskkuT3b299eURe7N/IFZJxpcnzuIHd96AyLAQtLR39n+gLEOwdm1m+f72o3h/+1GEh2qwetFUPLoqB9ERoYOuk4iCl8u/waZMmYKtW7fi7rvvBtD1C9xoNOLzzz/HtGnT3F4gUSAKpIlbcs7fM6ADYQrdEY1GM+TXy9Xv0fr1653minfn7zcQiGh44/qcaGCSLOGlc++hoGoHRIiQ0LU2Ot18AZ9UbccdY5bjwZTVEAVmPweSwjPlsCp4196VtlYcr63BdN1oL1TVZePBoyiruYKBqpNkGceravDm4aN4eM4sr9XlCpUoDvlGwalLVx02vG1kGbhU24jvr12MX7++td8DBGvfD7d1mPHmtkPYffQcXvrpvYiNChtSvUQUfFz+LbZ8+XIkJCTg2WefRWdnJ/70pz/h5ZdfRnJyMhYvXuyJGokCSqDkPpNy/p4BbZtwdsQ2hR6sXP0e6XS6AXPFB9L9BoLRaHRyNBGR93B9TjSw1y98goKqHQBgb3h3/+ePLm/D25Wf+qI0GoIWF/auaekcYHrYA2RZxj9LDw3Y8O7u1dLDitevgUgQFYR0X6cSBaxdNBU/vmcp1CoRgiBAEABBliFen/Du72ySJOPS1QY8/Wo/zXIiGvZcmvSWZRktLS245ZZbcMMNN+DKlSvo7OzEqFGjkJCQ4KkaiQJGoE/cBjpPxclotVrFGdCCIEDrxXw+f59C786TcT+D+R71lyuuhC9jbIiIeuP6nGhgDZ3N+Oiy82bYexe3YNWYpYhUu5ZZTANr7jThw7MncKi2CrIsY3K8DnemTUVcqHumcUdGRKK5U9mgyciISLdcU4n69g5cbmp2epwMwNjQiGaTCdGh3o/mMJkt2HK0AvvPXITZakVKYhxWz5mM0bFRbrvG7PSx2Hb4lH3jyoFoVCIyk3UAgHuXzsDNczLw8d4TOHauCpevNqH8fI3Dr7dKMrYfOo2aumaMjHdf/UQU+FyON3nhhRfw+OOPIyEhATExMZ6oiShg+Xvuc7DydJyMRqNRlAEtiiIyMjK82lQezBR67/o8nT3vjbifwX6PuueKt7S04A9/+MOgbiAwv5+IfInrc6L+7by6T1G8glWWsPPKfuSNWeL5ooaBNyuO4D/3b4XJaoEodM3nfnj2BH538Ev8cOYifGPyXAiC8ing/tyTOQW/KdrpcKJaFARMShiB9Djv3QB0dXK7v35wbUsr2s1mxEeEIyIkxE2VfWWX4Rx+8sanaGo3QSUKsJX8561F+Nr8GfjRqhugVg097ueexdPx2cEKh8eoRAG3zpmE6PCvGv+xkWF4cEVXlOAP//gRKoQaOHtZJVnG7mPnkJM1Du9uPYzCPWVoau1ARJgWK3MzcffyGUgZEz/k50REgcWlprcgCEhISEB7e7un6iEKWIE0cRtMvLWBY25urtMMaEmSkJOTM+RruWIoU+jeaEZ7c4PNoXyPbLnirt5AqKqqYn4/EfkU1+dEA7vcfgWiIMIq9xMI3I0oiKjquOKlqoLbO6eP4adFm+2Pu+dumyUrnj6wAwKAb0yZN6Tr3J05BX8+tA8NHSbIA0wSS4KM78zOHdJ1XBUbFor48DDUtTn/nTwiIgLRoV1rc1mW8dHRk3il+CBOVl8FAKhFETdPnohH52cjc9QIt9S3/3Qlnsj/yL7m7T2FvXHPYZjMFvznXTcN+Vqz0pKwZv4UfLD3eL+fV4kC4qPC8cSq+QOeo6Wj02nDG+i6wVF2tgrPvrodVqtkf15NrR14/4sjeP+LI/h/j92Km+ZlDOq5EFFgGlSm9+eff44rV7goIOrO33Ofg5HSOBl35C/r9Xrk5jpeNPui0WmbcFaS6Z2ZmWm/0eKN7PnBfH9sE9dmF3IabfR6/YA53bbHeXl5A36PbDcQlBAEAcePH2d+PxH5Ba7PifqnFtWAonRlGWrB5TdBUy8dVgt+VbLN6XHPHNqFRlPHkK4VGxqGb06fC0EGvkp87v4/ALKAU3XXhnQdV6lEEffPmm6fcB+IKAhYP7vrOEmW8dMPt+CnH25Bec1V+zEWScKnJ8px1983Yuepc0OuTZZlPP3xdsiQB/y3Qgbw7v7jOFVdCwAwW6w4V1OHM9XX0GZybX0uCAJ+ee9y/MvN86DVdP37pRZF+2szMy0Jr/7wPuhiB46fGRUfBZWCbHBJllGwuwxms7VPI98qybBKMv79xUKUna126TkQUWBz+b/sH374IcxmM1588UWoVCqo1T1P8ZOf/MRtxREFEn/OfQ5W3oyTKSkpQVFRkdN64uPj3Ta5rJSrE87eyp535ftjO36oE9P95XTbzpWTk+PwXK5EpCQnJ2PLli0A/D+/n9ErRMGP63Oi/k2NmYjCqp1Oj7PKEqbETPRCRcFty4UKNCnI2bZIVrx35jgeyRr8mvlPB/bhmeLdDo7oapT+z749SAwLx32Tpw36Wq56MHsmPjhWhqqm5h6T7jYqQcCYmGisnz0dAPDavkP46OhJAH3jTqySDAEyvvv2J/jsO49gZPTg88mPV9bgVLXzmwAqUcBruw8hITwc7+w9isa2rhsUWo0ad8zJwqPL52JUnLLsbJUo4olV8/HQ8tnYevgUquqaEabVYNHkVKSNdh47s2p+FjbtLXN6nFolAp2Sw1tcAoBXPy3F00+sUlS7J1ScqcFHBYdw9MRFSJKMjAmjcMetMzBt8tghR/4QUV8uN71XrlzpiTqIAp4/5z4HI2/GyXRvEjvji0anbcK5oKCgT5PZ9rj7hLMnbhb0bqy68v05efIkTp486bYIlO453a42e5XeQJBl2e/z+70RX0NE/oHrc6L+zYmfijhNNBrMzQPOtgoQkBASi5lxWV6uLviU1dVALYqwOFgfAV1TzifrB//OlNKqS04a3j09u38v7p40BWon74x0l9iwUGxcvw7fevdjnKi5ArUoQpJliIIAiyQha6QOf77rdkSHhsIqSXip6IDD88kAzFYJbx88hu8sURbXcv5qPY4YqyDJMiaOSsTksSNhuKzsNbdKMjYdOAlrp9QjE99ktuC94mP47EgFXv72OowfqTwrPTJMi9W5UxQfbzM7IxlTxo/GyfPVjjfEtAJOfuy6NrwsPYW2jk6Eh7o/K90RSZLxx79tw3ufHIRKJcJq7Sq2qqYB23aexJKFGfjFD/MQouE7TojcyeV/o2bMmOGBMoiCg7/mPgcjd2zgqJSSJrGNrxqdSiec3X2zYKDG6owZM1zfyMfNE9O2nG5XKLmBcPPNN2PLli1+nd/vzSx1IvI9rs+J+qcSVPi3jA34zxN/hCRLfRrfIgT7MSrBOw3RYCYIgqI0GQGC0/gPR14+eggqQeh3iro/V9pasbvyApaMSx30NV01OjoKH2z4Gg5cvIzCkxWoa2tHfHgYVmVlYGbSaPtU74mqK6huanF6PkmWsemYwWnT+3RNLf7ro+3Yf/Zij49njh6B3DTla2mTxQqxn5fXKslobjfhO//4CJ/8bANEBdEjQyEIAp79zh144n/fQ0Xl1R7vrFaJAqySjNsWZGHTjjIoqUSSZNQ3t3u96f3yxj1475ODAGBveHf9c9dz2bmnAmGhGvz0X2/1al1Ewc7lpndjY6PDz3PHeBrOXJ24pcHzVpyM0iaxjS8bnUomnN15s8BZY9VdvH0jwdkNhPj4eGzevNn5idAzv99bESPeiq8hIv/B9TnRwKbETMSvp3wf/zj7Ds609tznJS1Sj0fHr8PEqBTfFBdkZo4YA4vsfEjEIkuYkTh60Nf5/NxpxQ1vm0vNTYO+3mAJgoDs5CRkJycNeExju/Js8wYnxxouX8UDL74Fk9nS53MV1VdRUX21n6/qhwyHNy+skozKa43YW34BCyelKDvnEMRFhSP/5/fh8/3leGfHEZyrqoNKFDAnU491y6ZjetoYfLrzZI+pdEcqztfgzxu/xLlL16BRqzBv6jisXj4dY3Se+W9lS6sJb7y7z+Exsizj063H8dB98zF6VKxH6iAajlxuej/33HMOs4aefPLJIRVEFOiGkilMynkrTsaVJrHNUCfLh8rRhLO7bhYoaazazuHq69ebL24kOLqBYDabXXoNP/nkE5w6dcprESPezLonIv/A9TmRY5nR4/H7GT/BmRYjzrV2TcCmReqRGjHWx5UFl+Vj0zEiLAK17a0OB77D1RrckTq4OBlJlmGyWl3+ulC1f8ZGxEeEKT42ISJ8wM/Jsoyfvr0ZHWZLv81fSe7KtBbFrml8Zw1iwcm9C5Uo4POjp7zS9Aa68sRXLZiMVQsm9/v5hTPGY8+Rsw4jUERBQLhWg58/+4l9ShwAThuv4rVNJfjO/Utw362z3V77F1+ehNni/GdWFAUUfn4MX39gkdtrIBquXP7N/81vfrPHY0mSUFVVheLiYixbtmzQhZhMJvs0HAA0NXn/TiyRuwwlU5iU80acjCtNYht/3qjUXTcLlDRW3dHwtvHVjYT+biAofQ1tz//06dNeixjxZtY9EfkPrs+JlEmL1CMtkjd8PUUtivjd/Fvw9W3vQsDAw8K/zlmBcM3g4iVEQUBCWDiutbe59DULk8cN6nqeljVKB318LCrrGhxvwigAa6YPfKPgiLEKp6prHV5LBmCVZYSIIiAN3PhWEvQjyTKaXZhS97R7V87El4fOODxGkmW0t3YCQI/muHT9n194bQeiI0ORt7j/xvpgVVU3QqUSYbE4fxfE5eoGt16baLhzObhs1KhRPf43ZswYzJ49GzfddBP27XP8lg1Hnn76acTExNj/l5ycPOhzEfkLjUaDyMhINpU8xBYnA3Q1abuzPR5qnIytwdn7/AMRRRGZmZl+/T3Pzc11mk/u6GaBrbHq7BzdG68DfX+U8rcbCUpeQ9vzdxQxYjQa+3zdUAwmvoaIAh/X50TkL5aNTcNLy+/CiLAIAIBaEO0bSMZpw/D8otuwNs31DQ27uzdrquJMcJUg4Ja0CRgZETmka3qKIAj45sI5DhveoiAgIiQEd84cuBlbfLoSKqX52oIAXXTX90clClCrur4/4SEaLM9KA5z3ZiEKIkZE+89rmj1Jj2/dtQAA+vxs2B4KVhmyo80wAfz1rd2wKtjHyRVarVr5u2xD/PMdCUSBym27dSQmJuLy5cuD/vqf/exnaGxstP+vsrLSXaURURDLzs7Ghg0bkJGRYX9rty1CYsOGDW6ZpFXS4LQJhI1Kh3qzYDCRLzqdrt/vT2ZmptMGuD/eSFDyGjqKGrAdV1xc7Na6bO9MUMLfbiQQkftxfU5EvrB0bBr23vU4/r50LR6bMg/fnDwPf7zhduy7+wncMX5wsSbdrZ8yHeFqjdPGtwggKSoa/2/x8iFf05PWzpiMr8/vitVQ9XpOKkFAqEaNv31tNeIdxJt0Wq0QFG3lCJitVlxtasVPb1+Cbyybh4cWz8av7l6BHU9+E0/eeWOfGvpjlSSsmj1J0fUc1mKxuu2doRtum4f//u7tmJQ6ssfH08YmYmZ6EtQKXqGr9S0oOebeoZTsmSn2DSsdsVolzJ093q3XJhruXL6N1HsqTJZltLS0YMeOHYiPjx90IVqtln98E9GgeDpOpvsGpQNFdtg+HigblQ4le34wkS/V1dV44IEHoNPp+nx/PB1RY+Pun4+BXsMJEyb4LGLEW1n3RORfuD4nIn+jFkXcpJ+Am/QT3H7u0ZFReOX2O/HwJ++h1WzuN6ZDLQi4a9IU/DhnIeLDBm4W+wNBEPCjmxYjJ1WPf+47hN1nzkOWgUhtCO6aOQXr583A2FjHmyzqE2JgUTik07VPpYx39h3Fh//2YI+BifAQDdbOm4L3io8PGH+iEgVMHzcaU/Qj+/28M5drG/HW9iP4aM9xNLeZoFaJWDIjDfcum4mZEwbe9FOJJbPTsWR2Oqpqm1Df1IboiFAk6WLwjf98wx5j4ogA4PKVhiHV0NvkzDFISxmBc8baAWsQRQEx0WFYmJPu1msTDXcuN71/+9vf9pkik2UZMTExuPPOO91WGBGRqxxt4DhU/TU4u8vMzAy4jUoHe7NAaWO1O1EUUVpainXr1vWpwXZDoXdGuO3xUG8kGI1GFBUV2RvR7txMsr/X0GQyoby8XNHXeyKr3BtZ90TkX7g+J6LhZvaoMdh+/9fxVtkxvG04jmttbQhVqzFr1BjcmJqGlePTEaMN9XWZLlmUnoJF6SmwSBI6LVaEadSK38G3YupE/NdH29HWaXZ+sNyVYHKmpg6HL1RhZsqYHp/+yZolqKpvxm7DeYiCYG9+2yoZPzIB/7vhNsW1dXeg/CK++4cPYLZY7bnaFquE7YdOY+uBU/jO2oV4+OY5Lp+3t9GJ0RidGG1/rDQ2RAag0aiGfP3uBEHAkz+5DY//4HW0d3T2aXyLogCVSsRTP7sDarV7r0003Lnc9H7ooYd6PBYEAREREYiPj3c5o5WIKJD0bnDamrJDnRz29Yang7lZoKSx2p2jqeahTJ07U1JSgsLCQoii6NHNJHu/hkon4T0RMeKNGwlE5F+4Piei4SgxPBxPZM/DE9nz3HI+iyRh+5mz2GQox7W2NiSGhyMvMwNL08bbc8m9QS2KUIe4dr3wEA0evzEHvy/cNfBB15emtla1IAg4frG6T9M7RK3GC1+/A58dqcAbuw/j2IVqyJCRqovHfQtn4PY5WQgLcf1vlqsNLfjeHz+Eydw30sTWAP/D+7uhHxmHZTPdO/GcMy0FB8suKlqfZ092/xo5RZ+Ivz73AP70j+0oLjmD7mVMmzwW3/r6EmROGO326xINdy43vQVBQHJycp8FtCRJuHDhAsaN889dkYmI3MVdE+WenED2tO6NVaUcTTV7IqLGaDSisLAQgOPNJHU63aBe74Fq9YeIEU/eSCAi/8P1ORHR0Jyrq8cj776PysZGqAQBVlmGShCwyVCO5JgYvHTXWqTGx/m6TIceXjQbLR2dePGLfV0Nblt3u/c/Xyf0etydWiXi1lmZuHVWpr1RPJjJ7u7e+/IoTJ0Wh41nURCQX7jf5ab36cqr2LLXgMaWdkSFh+LGeRMxafwo++dX3TAFf3tnL8wW64DnUIkC5k1LwegRjqNkBis5KR6//Y87UXOlCeWnqiHJMtJSRyA5afAxZETkmMtN71deeQU/+MEPEBER0ePjHR0deOWVV/Dkk0+6rTgiomDlrQlkT8rOzkZ8fDxeffVVRccrmWp2Z0RNUVFRn0nn3mybSbrSBFZys8IfIkY8nXVPRP6D63MiGs46rVZYJAlhauVxIN3VtrbivjfeQn17OwDAen1tbvv/l5ua8LU338InDz2AxF6/Z/2JIAj4zor5qGtuwzv7j/WYJoaEPps4SrKMSUk6Red1h4/3lA2YE969prILNai80oBkXazTczY2t+MXfypAyQkjVKIACAIgy3itsBTTJozBb76zCiPiIhEbHY5ffHMl/vNPhbZDelCJAmKjw/Hjr984hGeozEhdNEbqop0fSERD5vJ7dAa6K9fe3s4/poko6JnNZrS0tMBsVpCXNwClE8hGo3t3DveE8ePHIzMz0+liWBRFZGZmeu2/E2azGeXl5U4zx7vHrihRUlKC/Px8VFRU9LlZkZ+fj9LSUgBfTcID6DN5aXvsrYgRjUaDyMhI/jeaKIhxfU5Ew41VkvBh+Umseft1ZPz5OUx+8QXMe+lFvLC/CHXtbS6d6+UDh1DX3m5vcve5liyjrq0drxw85I7SPe7RpXMgyOj5v17HCAKQMiIOs1OHtnGkKxpalH9frjW1Oj2mvcOMx59+BwdPVgLoikixWiV7VMqJM1X45q/fQlNrBwBg5YJJ+P2P1iBlTEKP84iCgEWz0/HSr+7HyAQ2o4mCieJJ77feegtA112+jz76CCrVVwH7siyjpqYGycnJ7q+QiIY9f5hUdWcUiacmkH3FH6aaezOZTIoy+wDlm0m6GpfCiBEi8jSuz4nIm2RZxp6qC9hYcRgVDbXQiCIWjUnF/RNnYFy096I/zFYrvr15Ez47expit8GLq21teH5/ETYeP4I3196DlFjnNVklCW8cOeJ0Atkqy3jj8FF8f8F8qPx8r4Sk+Bg8umwu/v7F/n4/LwiAAAG/XL3MbVPcSkSEamEyK2t8R4c734T0wx3HcOZibZ+pbRurJKOqtglvbj6Ib9w5HwCwYOZ4zJ+RirIz1aisrodarcK0iWOgi49S/DyIKHAobnqHhnb90pFlGSEhIT2aA6IoYtasWZg9e7b7KySiYctfMq/dGUVim0B21pB1tPGjv9Hr9bj55puxefPmPhs4+mrjRK1W6/bNJAdzs4IRI0TkSVyfE5G3tJhN+Ob2D7Cn6oI98xoAKhpq8fcT+/GT2Uvw2BT3bCjpzP8U78HnZ08DQJ9mtSTLqG1rw8Mfv4+t6zc43YCyob0DjR0mRddt6OhAQ0cHEsLDB1e4F1yub8JbRUfwYUkZBPmryG6VKEAQBFgkCbHhYfjNPSuRM8G7Axgr5kzEOzuO2CexB6LXxSJ1tOOca1mW8c5nhwbMJLeRJBnvbTuCR1bnQK3q+lkQBAGT00djcjo3jiQKdoqb3nfccQcAICYmBvPnz0dISIjHiiIi8pfMa3dvhuiJCWRf6n5jAuj5FntfTjW7ezPJod6scGdWORGRDdfnROQNsizjiR0foai6K3qvewyI7Z9/e2AH4rShuGfCdI/W0tLZiX8ePeSw12mVZVxobMC2c2ewMm2Cw/PZGqFKaVyc8pZlGWZJQki3d+J4SvEpI76d/xHMFmuP75EgCLBKMuamj8W6nKlYPjkdGrXn6+nt7iXT8c6OI06Pe2DFbKcT6B0mCy5dbVR03YbmdlxrbMVITnMTDTsuvy9nyZIlXFATkUf5U+a1bbrXEdt0rxK2CWQllE4g25jNZtTX16O+vn5ImeNK9ZdvDXyVWb1y5UqsW7fOZzEeubm5ijK9lcSuDOZmBRGRt3B9TkSedPDqZey8fM5pBMjvD+2Cxcnaa6i2nz+LdovF6XGiIOCj8pNOj4vWajE+Pr5P5nVvAoD0hAREKVybF5014rE3P8LkXz+Pqf/1Amb/7k/47Wc7Ud3UrOjrXVV5rQFPvPQhTBZLn2xy2xq25EwlEqMifNLwBoCUUfH4f4/cDFEQujad7Mb259HqhVOwZtFUp+fyYioLEQUwxZPe3ZWVleHEiRNobGyE1Wrt8blvfvObbimMiIYvf8m89kQUibsnkIGumwRffPEFLly40OPjer0ey5cv98hrpOTGxObNmzF69GifNb1tm0kWFBT0+XlyNXbFE3EpRETuxPU5EXnKW6eO9Ig0GcjV9lbsunwOS8emeayW2vY2iILgtAEvyTKutDnfDFEQBDw8eyae/Hybw+NkAA/Nmul0eEWWZTz7xR78dU9Jj4+3mDqRX3wQr5Ucxov33oGFaSlOa3PFG3uOwCJJA+ZbA103Av5vewmyx49167VdcfPcTIxJiMbLm0vw5dGz9nrTkxJx/42zsCo3S9GAkDZEjeSRsbh4pcHhcwaA+JhwJMZGuKF6Igo0Lk9679u3Dx999BEiIiJQXV2NpKQkhIeHo76+Hunp6Z6okYiGEVujWcmErq3R7Cmemu515wSybdq6d8Mb6GpM5+fno7S0VFFdrnD3BLynZGdnY8OGDcjIyLAvoG2xKxs2bFAckWO7WaHkOWdmZjLKhIi8iutzIvKkc031ThveQNc09IXmBo/WEqsNddrwBroavPGhYYrOedfUKcjVJ/fYFLP3uebr9bhr6mSn5/rgSFmfhnd3ZquERzd+gLNXrymqTakPSk84zcq2SjJ2G86jvrXdrdd21bS0MfjfJ+7Atv/9Ft596kEU/u5RvPHv63Hb/MkuvSN23YqZTo8TBQF3Lp/u95uPEpFnuDzpXVJSglWrVmHq1Kk4cuQIFixYgLi4OGzfvh3t7b795UlEgc+fMq89Nd3bfQJ5KBs/dp+2dsSVzHElAm0zTndtJpmbmwuDweDwGKU3K4iI3InrcyLypFC1sraBDEDr4ezqZSnjEaJSobPXO1p6k2QZqyZmKDpniEqFf9y5Bv/x+TZ8cKIMVlm2T5NrRBHrpk3Fz5feAI2T5ybLMv68a5/T68ky8J13NqHg8YcU1eeMxSqhuV3Z8I0MoK6lDXERym4IeFJMRChiIkIH/fW3L5mCgl0nUGG8Cqmfhr9KFJCki8W9K2cNpUwiCmAu3+5qbGxEcnIyAECtVtsnG6dNm4bjx4+7tzoiGnY8mXntKk9N9xqNRpw5cwZA/xs/Kp1ALioqUnQ9AG6duA7UfGuNRoPIyMhBN+BtNysA9PmZsD1WGpdCROROXJ8TkSfdMCbVaeY10DXpvWB0ikdriQkNxbqsKQNOZQOAShCgC49wuomlTUN7B578bBs+PG6A1SoDEiBZZcSHhuE/li/DUzcth1ZB4/9E1RVU1ivbXPF0bR0uNig71hmVKCDEhZzuCG1w7AERGqLBH396F+ZPSwXQ9TqoVaI9L3xm5lj89Zf3IDKcsYNEw5XLk96RkZFob29HbGwsYmJicPHiRYwaNQoNDQ2KmyBERAPxROb1ULh7urekpASFhYV9mqa2ie/x48craprapq2VOnnypNsmrodzvnV2djZ0Oh2Ki4thMBggy7L9ZkVOTg4b3kTkE1yfE5En3ZU+Fc8c+hKdVisG+o2iEgQsHJMKfVSsx+v5xcIbUHHtGkouXwSAHjWpBAERISHIv30ttCrn7Y7Gjg6se+1NXKhvuB7h8lUzva6tA7/csg3tZgs2zHE+LXyttc2l57Hz1HncP2e6S1/TH0EQcOOUdGw5WuEw4kQUBGSMGYFRsVFDvqa/iIoIxf/8YDWMVfX4rNiA+qY2REeG4sa5GUhLTvR1eUTkYy43vVNTU1FeXo7Ro0djxowZ2LJlC06ePInLly8jMzPTEzUS0TDjTzES7twM0dHmj7amhNIoElemrbt/jTua3v52Y8Lb3BWXQkTkLlyfE5EnxWrD8D8L8/CdnR9DAPo0vlWCgPjQcDydu9Ir9YSqNfjn6jvx+rEjeOXIIRibuiamw9Ua3J01BY/OzMbY6GhF5/r9zt3dGt79+80XO7EkLRWp8XEOzxUd6tqgR7sb9yZav2gmCg87HoiRZBkPLQ7OqA/96Dg8uibX12UQkZ9xuel922232Rstc+fORXh4OCorKzFx4kTFG4IRETnizkazO7hrute2+aOzRnFxcbHTc7oybd39a9zFn25M+IpGo2Gzm4j8AtfnRORpq1ImIUqjxdMHdsBQf9X+cVEQsEI/EU/OWYbREcoaze6gVanxyIzZ2DB9FmpaW2CRJIwIj1AUQ2LTbDLhvWNlTjfpFAUBrx86gl8uX+LwuKlJoxCqVqPDYlF0/VHRkUpLdWqafjR+cvsN+N3HO+155DaC0JUjfu/86cibyRuhRDR8uNz0FgShR97ulClTMGXKFLcWRUTkbzESQ53udffmj7Zpa2eNZ5tJkya5tUHrbzcmuuMENhENN1yfE5E33JA0HovHpOJ4XQ3ONtZBLYrI1iVhZLjv4jIEQcCoyMFd/+ClKqcbYgKAVZax88w5p01vtShi7YwsbCw96vScoRo1lmekKS1VkQcWzcK4xDj83/YSHDh3yf7x9JEJePiG2bh9dpbivZPc4VpTKz7cdRwFRSfR0NKOmIhQ3JIzCWsXT0ViTITX6iCi4cvlpjcAXLhwAQcOHEB9fT3uvvtuREdH48iRI4iLi2OeKRG5jT/GSAx2uncwmz86u46SaWsbT0xc+9uNCaPRiKKiIvvNBVstubm5/G8TEQU9rs+JyBsEQcDUhFGYmjDK16UMWafCiWwA6LA4b44DwC9WLsGnJypQ397h8LhvLJiDMA/8XbN4UioWT0pFdUMzrrW0ISpUi+SEGK82uwGgxFCJf/3jRzB1WuxT542tHfj7J8V4ZXMJ/veJ2zEva5xXayKi4cflpndZWRk++OADTJ06FVVVVbBevzNqMpmwa9cu3H///W4vkoiGt2CIkfDE5o/dp60d8eTEtb/cmOi+QajtNZZlGRUVFTAYDMjLy+Nb/IkoaHF9TkTkuuTYGEXHiYKA1PhYRceqVSoUPP4Q7vrHRlxubO73mHtmTcW3Fs1TWuagjIqN8tmGlReq6/G9Fz5Ep8WC3n/6SLIMk9mC7//hI2x8cj1SR8f7pEYiGh5EV79g165dWLVqFW6//XaoVCr7x5OTk1FVVeXW4oi8yWw2o6WlBWY3bihCZGOLIxFFx792RVFEZmam4sZxdnY2NmzYgHHj+k5KjBs3Dhs2bPBKs1ej0SAyMtInDW9HG4TaHhcUFMBoNHq9NiIib+D6nIKNLMsobz6Lz6p3YWvNHhjbLvu6JApCmboRyBqpg7MZaEmWce+MaYrPmxARji3f3oBnVt+MKaNGIiJEg5hQLW7OmoBXH7wbT+Uth+jlyWtven3rQVis1j4NbxtZBqyShNc/P+Ddwoho2HF50ru2trbf5kpoaCg6Ohy/hYfIHzESgbzFU5s/6vV6PPzww/YbNwB81oD2BXduEEpEFIi4PqdgcqThJF469y4utve8YZMZNR7/Mv5epESM9VFlFIx+sHgBHn3ngwE/rxIETEhMwE0TXMvfDlGpcPu0Sbh92qShlhhQzBYrNhWVwSo5fnerVZJRUHQSP75vKUI0g0rdJSJyyuVJ78jISNTV1fX5uNFoRFxcnFuKIvKWkpIS5Ofno6Kiok8kQn5+PkpLS31cIQUTWxwJgD4T37bHQ4ki0Wg0iIuLQ1xc3LBpeNs2CHXU8AZ6bhBKRBRsuD6nYFFSdxS/KvsjLrVX9/lcRfM5/PzY73G2he/cIve5YXwKnll1M9Si2GP6WnX9nzNGJOLle9ZC0+1dNDSwlnYTTJ3KstI7LVY0tvLGLBF5jsu31GbNmoXNmzfj9ttvBwA0NzejsrISn332GRYvXuz2Aok8RWkkgk6n43SoH/B1ZrS7+Nvmj4HOExuEEhEFGq7PKRiYrJ14/tTLAGT09192CTLMkgUvnHoFz874pdc35qOvtJk78en5CpxvqodWpcaipBRMHzHa12UN2urJk5CrT8bbR49j26kzaLdYoI+NwT3Tp2JJWirUTuIJ6SuhIa6ts8O0XJcTkee43PReuHAhZFnGP//5T5jNZuTn50OtViM3Nxfz5nl2MwYid2IkQmAIxvgZf9n8MRh4YoNQIqJAw/U5BYPdtaVotzqe+pQgobK9CuXNZ5EZ7VrcBA2dLMv467H9eP7QXrRZzFALImTIeObALkxJGIlnb8jDxLhEX5c5KCOjIvGdBTn4zgLXYgappzCtBrMmJuHw6cuQHESciIKAqWmjERnGtTkReY6ipndNTQ10Oh0EQYAgCFi8eDEWLFiAuro6dHZ2YsSIEQgJCfF0rURuY4tEcNYo6x6JwKak95WUlKCwsBCiKPaJnzEYDMjLy/PKJo2eotFo+HM1RLYNQisqKpzewMrIyODrTURBg+tzCjbHmyogQoQEx5FlIkQcayxn09sHnjmwC386Umx/bJG/+l6drLuCtZ+8jo/veADjY+J9UR75ifuWz8LBiksOj5FkGfctn+mliobGYpXQ3t6JsFAN1GrG3BAFEkXv0/nrX/+KtrY2AMDzzz+PtrY2qFQqjBgxAklJSVxQU8AZTCQCeZfS+BmjkbmOw11ubq6iTG9XNwj1FduGpMwfJyJHuD6nYGORLAMEm/QkCAIsstULFVF3pxqu9Wh492aVZbRZOvGfRdu8WBX5o6Uz03DPshkAgN4hRLbHd90wDTfOnuDNslxmOFWNX/1+E1bc+SxW3fcHrLjrWfzn7z7GCcNlX5dGRAopmvQODQ1FfX09IiIi0NDQoLhZSOSvGIngOe6K7GD8DCll2yC0oKCgz8+M7fFQNgj1lmCM8iEiz+H6nILNmLCRECA4bXxbZSvGhOm8VFVgu9zahO2XTqPVYsaosEjcmDwB4erB3RB77eQhqAQBVge/a6yyjC8vnYOxqQH66NhBVk2BThAE/OjeJUgbk4CXN5fgcm2T/XOjEqLx4Mps3L1kml/n8m/edhy/fX4zRBGwWrt+5q1WGV8WVWD77nL84IkVuP3m6T6ukoicUdT0njRpEl5++WVERUVBEAT8/e9/H/AX1Pe+9z23FkjkCYxEcD93NuwYP0OuCvQNQoM9yoeI3I/rcwo2y3Xz8e7FT50eF6YKRU58YMQi+EpdRxt+vm8zPqssB9CVn2yVZYSrNfhmVg6+PXUBRBcbjvuqKx02vG1kAIevVrHpPcwJgoDVi6Zg9cIpqLh4FfXN7YiNDEWmfiRE0X+b3UDXhPdvn98MWZZh7fWmElsD/H/+9BlSkhMwbfJYH1RIREopanrfdtttmDRpEurq6vDpp59i1qxZfMskBbzc3FwYDAaHxwRSJIIvubthN5j4GTa9hzez2Yz4+HisWbMGAAJqg1ClUT46nc7vm/dE5D1cn1Ow0YUmYOXIxfisZpfDae97k1dBq+LP+kAaTe24a8s/YWxpsL+KtmZ1m8WMZ4/uwuW2Jjw97xaXJm0lF95NYpUdx85R8KptbMV724/ggy+PobaxFWqViAVTU3HP8pnIShnl6/IUefvDEoiiYG9w90clCnj7wxI2vYn8nKKmNwCkp6cDAKqqqjBv3jzGPVDAC5ZIBF/zRMOO8TOkVDBEgjDKh4gGi+tzCjZfH383LLIF267s7bGppQgBEmTcp78NeaOX+rhK//bCsT0wtjQ4nMp+6/QR3J6ShfmjUhSfd3LCSJxuqFPU0M6MH/H/27vz+Kjqe//j73Mmk0lCNgKENQOokIAgIEESBBVFtESr1rVWa9vbTbu3t9tte73e21tve3t7b2+Xn61tsfW21mrdE/cdTTABWWWIbA6yrwkJMJnMOb8/wkRCyGSSzJYzr+fj4aM9mZOZTw6T5OR9Pufzjfp54Rwb/Xt1x08f1pGjgc6LJO0hS8vWbNGrqzbr45eX60vXLUjpsSbt7SG98kajQqHI7/OQZeuN5Zt19FibcrK5CAekqqhD77CrrroqHnUASTHYRyL0R6xmbofFI7Bj/Ayi4YSRIIzyARALnJ/DKVyGS3ecdYuqRi/Uc3uWaWvrdpkyNCX/LF06cr6Ks4Ylu8SYOx4K6nDgmLIz3CrIzB7Qcx1rD+qvm1b1OobEZZj608YVfQq9bymbqUc2rY+4j2kYmj58lKYUMXM93bQcC+iLP/t7l8A7LGR1bP/pmQaVFBfqmgvPSUaJUWk92tZr4B1m2bZaWgOE3kAK63PoDTiN1+uV1+uNeRicauLRERvPwI7xM4jEKSNBGOUDAEB344eM1WfOuDHZZcTVxqY9+n1jrarfX6f2E93Ts4rG6ROTKnTZmCn96ob1Hd6ro+3BXvcL2ZZq9/ijft5Dx49p+a7tyna5dSx0+uc31dGR/4Pz6MRPRzW1G3T4yLGIy9AakpbWvKWrFkxP2bneOdmZMk1DlhXFHceScnO4wwpIZWayCwBShdvtVm5uriMDpfr6ei1dulSNjY3dOmKXLl2qhoaGfj1vfwK7aIQD+p6YZsePLsbPpK/wHQaRhO8wSGXhUT7RYJQPAADO8MquRn3kpXv11EmBtyStPrRDX1n+sP5t9TNRn2OfrD3CHZKnCkW578aD+3TJw3/QTxqW6Vh7UF1STbsj+JOkvEyPli6+VnNGMeM4HT35xvqIgbfU8dbZub9Z67fuSkRJ/eJ2u7SgYpJcvYTyLtPQ3PKJysmhyxtIZXR6Aw4Xz47YeMzePnlkRU+cPH4GvXPSSBBG+QAAkF52Hm3Sl5Y/pJBtdQsJw2Mh/rylXlMKRur6ief26bkn5BV1zj+PxJShMwt6HxXT0tamjz39Nx0OHDuxuOiJIPCkczDblm4um6E7Ky5RVgbxQrraf7g16n0PNB2NYyUDd8PV5Xr1zcaI+4QsWzdePSdBFQHoLzq9AYeLZ0dsOLCL5vnLysp6DewiBfQnI/BOb/G6wyBZKisrI77fJUb5AADgFA9uXaH20wTeJzMk3dv4Zp+7vUdkD9GlJZPk6uUuMku2Pj6590D9kU3rtf/Y0dPMCDc6/zNkqHbXdnlcrj7VCmfJ78OYj1QfCTJtylh97fZFktSt4zs8luUL/7BQ584Yn/DaAPQNoTfgYOGO2GgCtXBHbF/FMrBzysgKxJfTRoJ4vV5VVVVJUrf3P6N8AABwlif8a7st9HcqW9J7rQe1sXlvn5//q+csUIbpkqnTnyu5DENThhbriglTe32uvzWu7XUfW9LWpkNad2BPX0uFg1x6XqnMKM7PC3OzNeOsMQmoaGCuXjJL/3v3TZpbfobCX5Yh6bxzJ+hnP7xBN1xdntT6AESH+48AB0vEInnhwK66ulqmaXYJwMPb0QR2ThpZgfhy4kiQ8vJyFRcXq66uTj6fr8tis9zZAACAcxwOHot636a26PcNKxtarPsvuUmffeXvOtx2TIY6gmmXYShk25o+bLR+d9H18rh6jwJ2t7b0Oqc5bE9ri6YP73O5cIirL5iuP1QvV7A9pJ7+nDMM6aZFs+TOGBx3BcyYVqIZ00p09GibjrQcV26uR0NSvEsdQFeE3oCDxWPm9unEIrBLREAP56isrJTP54u4z2AbCeL1euX1ehUMBhUIBOTxeHiPI6XxXgWAvhuama2j7W1R7pvTr9eYU1yi2o98QdV+n57f3qgjwYDG5OTr2jPP0dzikqjvmMvLzNS+Y9HNas7NJAxMZ8MLhugnd1ypf/zlE7JtWyHrg7/rDKNj9vuCc87QJ5acl8Qq+ycnJ5MFK5HyDu4+pGeXvqJt6/1yZbg07fwyLbx5vrKHZCW7tKQi9AYc5tQQIlEdsQMN7BIV0MMZ+nuHwWAI6dxud8rWBkgd6y/U1tZ23p0TvshZWVnJXQkAcIJt21q+b5se96/R/kCL8txZWjx2iq4omaZ7G9+MOOLEkDQxd5gm5Y/o9+tnZbh17RnTde0Z0/v9HFUTy/Sr1XW9jmMp9GTp3OLUH1mB+Jp/zhm673sf1dKat/Tyyk2yTgTf40YU6qZFs3TdwhlynTTKr7n1uGpef0crN2xXsD2kCWOG6aqF0zVhTFGyvgRg0LEsS3+682964D8e7bi6dOKi5vP3v6p7vvFHfe23n9fCm85PcpXJQ+gNOERPIcQZZ5yR0I7Y/gZ2ThxZgfjqyx0GhHRAbNTX16umpkamaXZepLRtW42NjfL5fKqqqlJ5OXMuAaS3PceO6PY3H9A7TbvlMkyFbEumYajm/fUakZWrDMNU0A71ODrElvTZ0vlRd2THy81l5+ieNctl23aPtRqSPjH1XGWykCUklY0fqR/ffqWaW49r3+EWZWW6NWZ4frf38tPL3tHdv39ewfaQZHe8599a+54eeHqFrrjgbH37U4sGzRgUIJmWfv+v+ut/PHrSRz74aX2s9bh+9LH/kduTofnXzE18cSmA0BtwgN5CiGnTpmndunUDmrmdCE4cWYH4iuYOA0I6IDb8fr9qamokqdvFyfB2dXW1iouLU+J3CgAkQ0swoNte/5O2tx6UJIXsjp+P4W7pA4FWecwM2YZkye58XPpg7vanJ8/T1d5zEl/8Kcbk5uvnC6/QF196Uqak0Ckd34akC8ZN1BdncW6OrvKHZCm/h7EKr9S/q7vueabbx8MjUapfXy/LtvXPn7s8rjUCg93e7fv14I8f63kHW5Ih/erLf1Dlh8vlSsOLk2bvuwBIZdGEEOvWrdOSJUtUWlraeZU93On6yU9+MmUCv/DICqkjkD9ZeDtVAnqkFrfbrdzc3G6Bd7Qhnd/vT0yhwCBWW1vb7WfzqUzTVF1dXYIqAoDU88h7q/Rey4FuAXGYZdtqs0K6dEypbphwrrJOLChpSKoYMVG/nfdRfXPaoqR3eYdVTSzV36pu0oKxE3RyRaOH5Ok7512o3y++Rm4z/YIU9I9l2fr5n1+NuI9tSzWvv6PN2/cnqCpgcHr6dy/KMHv5XWFL+3ccVMOzqxNTVIqh0xsY5MIhRG8jQbZu3aobbrgh5Wcax2JRTCAs2u+Puro63ltABMFgsHM8UCSWZcnn8ykYDKbk7xgAiLe/bKnvdZ+QbemlXY1684p/1PdnXK6W9oCyXW55XKn55/mcUeP0x8uv096jLdrVekTZGW6dWVDUZT4zEI2Gd/zatb+51/1cpqFHX1qjf7zt4gRUBQxOm1dvkxXq+e/cMFeGqa1r3tPcJecmoKrUkpq/VQFEpb8hRKoHEQNdFBPO0t/3ASEdEDuBQCCqhYaljvFBgUCA7ycAaceybb3XcrDH+dcnC1jt2nW0SWflj1BhZnbca4uF4pxcFefkJrsMJFF7e0ivrd6itVt2ybZsTfaO0CXlk+Vx9x4t7T/Uoh/d+1xUrxOybG2h0xuIyHSZMoyOuyMisW3JSNOLlITewCDm9BBiMAT06Ju+BNgDXXxy+fLljv7+ABLJ4/HIMIyovqcMw5DH40lAVQCQWgxJ5om53NFwGekZQiD5LMvWG+u36sFXV2vt1l2SLZV5i3XDhTN00YwzT9vF/9qqzfrhfc/r4JGjynB1PN4esvSTP7+sr990oT48f1qPr9d6rE13/PtD2nPwSNQ1ujL4/gAimTJ3st58vL7X1NsKWZpSMSlBVaUWQm9gEHN6CEGnt3P0NcAe6OKTfr9fL774YtT1xfL7g/ctnMjtdqu0tFSNjY29jgsqLS3lvQ8gLRmGoZlFJXr7wHZZvfR7D/MMUcmQoQmqbOB2tRzRwxvXaWvTIXlcGaoc69XlEycpMw0XRhvsgu0hfft31Xpl9Wa5TKNzAckV776v+o3bNae0RP9z+1XK9nzwu/y1VZv1jV8+rvDbuv2kkQotxwL616XPKRSydM2Fp1+A9fGX12r7nkO9dqSGmYahWWXj+vcFnmTLe/v05LNrtHnbPrkzTJ1zdomuWDxdw4ZyxwIGv8s/tVD3/eABtVuhHvcxTENjzxql6QumJLCy1EHoDQxiTg0hBtrhi9TS1wA72sUni4uLe3w/RDPLOyxW3x+8b+F0lZWV8vl8EfexLEsVFRUJqggAUs+tZ56nFQciL5BtytBNE2crYxDcbt5uWfr3N1/RH9e/Lamjm92QoQc2rFFRVrZ+fkmVFpRMSGqNOD3bthVsDynzlNEj//m3V/Tqms2S1Bl4Sx3d35K0ovF93fmnZ/WTz1whqSPg/vc/PS/Zingp56cPvKJLzytVbnb3RpKHn3876sBbkgxDuuqi6dF/wina20P66a+eU82L67oE+w2r/brvgTf0xU9frGuvSL/5xnCWguH5+tx/3aZfffkPp33cMA25XKa+fu/tKbM4cqIRegODnNNCiIF2+DpdKncRn662/gTYA118MtpZ3ifXMdDvD963SAder1dVVVWqrq7u9j0a3q6qquIiD4C0tnjsFF06pkwv7PSdNiB0GYbOyi/WpybPS3ht/fGD11/QXzesOeVr6dg6dPy4PlnziP7y4Rt03uiBd+UOJkfbgqpe7dNz6xvVdCygkfm5umrWVF1Uekbn6I9kqW/crr+88rZeW7dFIctWXrZH18ybppsunCm3y9Qjy9ZGDKAt29YLK9+Vf+8heYuHatmaLTrQdLTX120LtqumdoNuuHhmt4/v3Nf74pUn++otF2lY4ZA+fc7Jfvb/XtDTL62T1DXYt21bIVv6+W9fVHaWW0sW9T9YB1LB1V/8kDI9bv32W/ertemoMtwu2bYUag+p2Dtc31z6hbTt8pYIvYFBz0khRCw6fJ0qlbuII9XW1wA7FotP9mXWvSQtWrRoQMeQ9y3SSXl5uYqLi1VXVyefz9fle76iooL3OIC0ZxqGfnbetfrZ+hf15831arNCchmmLNuSIUOXjZ2qf5lZpSEZmckutVcbDuzTAxvW9Pi4LVuWLd31xkuqvu7jCawsuVa+t0N33P+4mo8HOheRe2fnXr24YbMmDBuqez9xjcYOLUhKbffU1Oqemrou3c1HjgX055dX6uFla3TleVOjeh6Xaeipug2648Pz9M7WPcpwmV1GmpyOaRpav3V394/3scP0SzdfoOsXz+rT55zM//5BPfV8z+/bsHvue1WLL5qqjAxG9GBwW/KZRVp06wVa9shybVu/Xa4Ml6bNL9OsS6bLHAR3FMUToTfgAE4JIQba4etUqdxF3Ftt0Tg5wI7F4qx9mXUvSeedd15U+/WE9y3Sjdfr7bxIlap3ngBAMrlNl749fbFuL71Az+/0aX+gRfnuLF08erJGZucnu7yo/eWd1XL1sjCnJVvr9+/V2n27NX3EqARWlxyb9x7Qp+97RG3tHTN0w4fGOvF/th86rE/8/mE98sVblJeV2PWUnm7w6Z6aOkldu5vD28fagvr7m2tlmJJ6HgHcac/hjkUnoz4372HfjAyXJo8v1ib/Xlm9PFVRQY5uunxgY0eeen5Nl9C/J4ebj6m2YYsWpOkCf3CWzKxMXXzzgmSXkXIIvQGHGOwhRCw6fJ0olbuIo6ktWuEAOxaLsyZy1j3vW6Qzt9vN+xkAIsjPzNK1E2Ymu4x+W713d8TA+2QbDuxLi9D7N6++pWAo1Blynypk2dp5uFmPrFiv285P3Mxo27b1+2ff6uw8P/0+UihkyYjqn9RQdmbH7/hSb3GvXd7hGkq9xad97IbLZumHv3024uebhqHrLp0p1wA7U/3vH+w18JY6utnfe/+giAkB50rvPnfAgdxut3JzcwddENGfDt90EO4ijiTcRZxo0dQWrXCAHQ6so/may8rKenyfV1ZW9hq8x2KWN+9bAADgVH0dS+F0zceO65m1jVEFqg8sXxX/gk6yefcBbdp1oNfFIm1J0bSmhCxLF804U5J04awzVZCb1evnZJimrph3+vEpl88rU/nZJT2+p0zT0Bnjhg24y1uSMjJMRfPWtaWkz18HEF98hwNICeEO32j01OHrNOEu4mjC23AXcaJEW1s0Tg2wYxFYh2fdh5//1NeTFJNZ97xvAQCAU5WPGiNXlOc5M4tHx7ma5NvVdETtUZz72pK2H2rq0xozA3XoyLGo9zVNQy6z539Xl2moZEShzivtOE92Z7j0zZsv7vV57/jIfBXkZp/2sYwMl376jatVdcHZcpmGDKMjcA6H4Bece6b+3/dvUE7WwGfdz5xWEtV+lmVHvS+AwYnxJgBSQiJHUgwWsZhvHS99XSwyklMD7FgtzpqIWfe8bwEAgFPdPHWGfrdmRcR9TMPQrOLRmlw0PEFVJY/bFf2ChxmmGXVjRCzkZUffWFGUlyOj3dbh1mPdutZdpqGcrEz97PNXyjwpGL98bpksy9Ld97+oY4Fg5wgSy7KUkeHSFz4yXx9bHLlLOyvTre99ZrE+f/35eumtRh1qPqq8IVm6sPwsjRkRu4U/L1t4tu7542tqa2vvcR/TNHTWxGKVTXL+SB4gnRF6A0gZlZWVvS5+GIuRFINFLOZbx0tfF4uU1KcAO1aBdSJm3fO+BQAATnRGYZHumDVXv357+WkfNw1DmaZLdy24JMGVJYe3qFDDc3O0v+VoxP1chqG5ZyS2g3jy2BEaXZSnXQePRNzPNA1dOXeKbrpgpu55qlY1b/kUPLEop8s0tXj2ZN1+ZaXGjSjs9rlLKqdq4bmT9Oxyn9Zt2SXLtjW5ZISq5k1VXk7v40/ChhUO0fWLZ/Xp6+uLvNwsfeuLl+mHP6s+7eOmaSgzM0Pf+fLlcasBQGog9AaQMmLV4esUqdxF3NfaKioq+hxgxzKwjueCe7xvAQCAU33zvPka4nbrFyvqFAi1K8M0ZdtSu23Jm1+on1+yRNOGj0x2mQmR4TJ189yZ+uVLtT0uZClJIdvWxyriF+qejmkauu2Scv3HQy/3uI+hE4tFzj9HI4fm6c5bF+vr116gzSdmgU8cVaTCHsaThGV73Lr6gum6+oLpMf4KYmvxRVOVneXWL373knbvbe6Y8W13jJ4pmzRK37xjsc6cePpFNwE4B6E3gJSSiJEUg0kqdxH3pbaBBNjxDKxjhfctAABwIsMw9IVzK/TxabP05CaftjUdUqYrQ/PGelU5piShIzxSwSfmz9YrG7do3Y49PQbfHzn3bF0weUJiC5N0w4IZWu/frSeXb5BhqMuiluEZ3j/+5BKNHfbBKJG8nCzNPHNsoktNiAUVk3T+eWfp7bV+bfXvl8tl6pwpYwm7gTRi2IlcXaEPmpubVVBQoKamJuXn5ye7HABJEM+RFINJQ0NDr13E5eXl1JYieN8CzsH5aFccDwCQWgNt+snTr+qxt99RMPTB+W9elkefnD9bn73gvC7zsBPJtm09sfwd/d9LK/Xuzv2SOrq7L55xlj5xabmmjWeGNYDBrS/no4TeADAI+P3+bl3EZWVlKdFFnMq1AcBAcD7aFccDAD5w+OhxLXt3m1qOBzQ8b4gWTJogjzs1bqa3bVt7m1p1LNCmorwc5fdh5jYApLK+nI+mxk9kAEBEiViQsb9SuTYAAAAgHgpzsnTFjLJkl3FahmFoZGFusssAgKQi9AaAQSSV51uncm0AAAAAACB9EHoDMUSnKwAAAJB8tm1r1aH3tP3oAWWaGZpdNFEjshjLAwBAuiD0BmLA7/ertrZWGzdu7JxpXFpaqsrKSmYaAwAAAAn0/K61+uXG5/T+sYOdHzNl6OJRZ+ubU6/QcE9eEqsDAACJQOgNDFB9fb1qampkmqbC68Latq3Gxkb5fD5VVVWpvLw8yVU6E531AAAAONnD/uW6e/0T3T5uydbLe97R2sPb9ad5txN8x1BzIKC/b1ivv65bo51HmpWVkaFLzzhLt5wzU1NHFCe7PABAmiL0BgbA7/erpqZGkmRZVpfHwtvV1dUqLi6m4zuG6KwHAADAqXYfO6wfr3+yx8dDtqX9gSP66TtP6T9mfTSBlTnX5oMHdMujD2lva6skyZbUGgzqoXfW6a/r1+qf5l+oT59LAxAAIPHMZBcADGa1tbUyzcjfRqZpqq6uLkEVOV99fb2WLl2qxsbGbp31S5cuVUNDQ5IrBAAAQDI8sr2+131CtqUXd6/X/sCRBFTkbK1tbbrl0Ye1/+hR2eoIvMNCJ87Tf7TsVdW825iU+gAA6Y3QG+inYDCojRs3duvwPpVlWfL5fAoGgwmqzLmi7az3+/0JrSsYDKqlpYV/YwAAgCR6c9+7srpEr6dnydbKg9viX5DDPbZxg/a0tnQG3KdjSPrft2o7m1XiLdDerhd8m/Tn+lV6bM07Oth6NCGvCwBIPYw3AfopEAhEffJm27YCgQBzpwco3Fkf6UJDuLM+EWNOGLMSHWavAwCARAhY0TcgBK32OFaSHh5cv1aGFPEygy2p8cB++fbv05Q4zve2bFu/e7Ne977ZoObjgc66MkxTV0wr1fcvW6i8LE/cXn8waTka0O5DR5SZ4dLYEQVy9XLnMgAMVoTeQD95PB4ZhhFV8G0YhjweTrIGItxZ39vxPrmzPp4BKwuY9o6LAgAAIJEmDhmh91r3K2RHvhNTkkpyhiWgImfb3XIkir76DrtaWuIWetu2rX97+iX9ZcWaDz524n/bLUtPrPXJt2e//vKJGzQkMzMuNQwG23Yd1B9qluu5tzaqPdTxPTKicIhuuHiWbr70XHncxEMAnIWfakA/ud1ulZaWqrGxsdfO49LSUjpcByiVOuujHbNSVFSk4uLitOxw5qIAAABItGtK5ujFPesj7mNI8g4ZrumFJYkpysFy+nB+OySO58J127Z3CbxPZdm2Nu7Zp9v/8riyMjLUblmaPHK4bpx9jiYOHxq3ulLJ6k079YWfPaxge0gh64O/qfYdbtWvH12m11dv0a+/fq2yPOn1NwsAZyP0BgagsrJSPp8v4j6WZamioiJBFTlXKnXWRzNmRZLuv//+znrSqcM52osCxcXFaXE8AABAYswdfqZmDR2vNYf9Pc6ZtiV9cfJiGYaR2OIc6PKzJuv3KxsizvSWpAKPRzNHjY5bHfe/tUou0+gS5nZhSbYtvbXt/c4PLd+6XffVrtSNs6frB0suVobLuSM+jgWC+tovHlNbMCTrNP9Wti2t27JL//PQa/rOLZckoUIAiA/n/mQHEsDr9aqqqkpSR0f3ycLbVVVVBHsxEO6sP/U4n8o0TZWVlcWtszraBUxPFu5wXrp0qRoaGuJSVyoJXxSIJDx7HQAAIFZMw9R/z75VMwrHS5JcxgfnI6YMuQxTP5h2jS4edXaySnSUj02b0es+pmHo1nNmyZMRv367um3+iIG3YXd0+J8sHNT/bcVa/eiZV+JWWyp4ZvkGNbceP23gHWbZtp5Ytk5Hjh5PYGUAEF90egMDVF5eruLiYtXV1cnn83WZXVxRUUHgHUOp0FnflzErJ0uXDudUm72eyljgEwCA2MtzZ+s3c/9B9Qe26JHt9Xqvdb88ZobmjZisj5TM0Yis/GSX6BglBQX6z0sv1zeee1qGYXQLVQ0Zqhg7Tl+YMzeudQRDPTSj2B3/2eoeep+8ywP1q/XJynNVUlQYl/qS7YWGRhlGR0d3JG3tIb25bpsuO68sMYWlCNu2tX79Dj1ds1o7dx5SVpZb5513pi5dPE25uVnJLg/AAKRM6B0IBBQIBDq3m5ubk1gN0Dder1der5cQK87CnfXV1dXdxouEt+PdWd+XMSunE+5wdmronUqz11MVC3wCGCw4P8dgZRqm5g4/S3OHn5XsUhzv6rKpGjFkiH75Vp2W7/hgfMiw7Bx9fMZMfW72ecp0ueJaw/iiQm3ad+C0i2pGM8TGNAw9tHKdvr5ofqxLSwnNrYFeA++wI0cDve/kIC0tx3XXvzyqlSu3yeUyFTpxAaW+fovuvfdlfe/7V+n88ycnuUoA/ZUyoffdd9+tu+66K9llAAPidrvTLsBLtGR31ke7gGlPnN7hnEqz11MRC3wCGEw4PwcQjfNLxuv8kvF6v7lJO48cUbbbrbJhw+WOc9gddnP5DN319EvdH+ilyzssZNvavO9gPEpLCSMKh2jjdkNWTyNgTjK8YEgCKkoNoZCl73/vYa1f/37ndphtS21t7fqXOx/RT//rZs2YQWMKMBilTOj93e9+V1//+tc7t5ubm1VSworaALpLdmd9NGNWInFyh3O0FwVM01Rpaakjj0FPWOATwGDD+TmAvhiXX6Bx+QUJf92rz5mqPy5/W9sPH+55tncEhiFHL2S5pHKqXlu9pdf98nI8qpw2If4FpYj6+i1au3Z7j4+He3ju/e3L+uWvbktQVQBiKWV+sns8HuXn53f5DwAicbvdys3NTXhwGmkB02g4vcO5srKy1y74WM5eDwaDamlpUTAYjMnzxQsLfAIYbDg/BzAY5GS69adbr9OZw4dJklxGR2+3YUQ33kS2NGf8uPgVmGQXzTxTJcWFcpmRj8Yti8vlcfe/L9K2ba1Y59dP7n1e3//vJ/XT37+g1b73+z0WMt6efOJtmb0cE9u2tWHDTm3bui9BVQGIpZTp9AaciBnfznW6MSvRSIcO50TNXh9Ms7FZ4BMAgORpC7XruV3v6JH3VmjH0cPKycjUxaPLdP34co3KTnxnMmJvZH6uHvvMx7Rs83t6ZM167W46oiGeTG3ec1D7jrR2W2TzZJkZGbpqxpQEVptYGRku/eJrH9Hn/vMh7T10pMt8b5dpKGTZuvL8s/XJJef1+zV27W3St/7zMW3275fLZcqybJmGoUeeW62yM0bqx9+8WiOKcmPw1cTOtm37ohr5Iknbtx/UhIkj4lwRgFgj9AbiYDCFcei/U8es7N27V/fff3/Ez4llh3Mqi/fs9cE2G5sFPgEASI6dRw/rs7V/1HutB2XKkHViucMtR/bp9+8u0w9nXaMrxp2T5CoRCy7T1IWTJurCSRM7P7Z+5x597A9/U1so1C34NtQx8/vfrlykvCzn3oUpSeNGFOqBO2/V48vW6aGXV2nX/ma5XKbKS0t04yWzNP+ciTKMqPriuznUfFS33/lXHTjcKumD2dihE8f73W179YW7HtQf7r5FuTmpc5wzMqKfOe/KSJkhCQD6gNAbiLHBFsZh4MILmObm5iakw3mwiNfs9cE4GzuZC3xyxwkAIF0da2/Tp9+8TzuPNUlSZ+Dd+f9tW/+08u8a5hmiyhFnJqtMxNHZY0bqL/9wo37wxPNav2vviZEnhizb1qiCPH33sgu1eOqkZJeZEPlDsnTrZeW69bJyWZbdcSz6GXSf7MHqFdp/uLXHrumQZWvHniY9+vxq3XpV/7vJY2327AnateuQQqHI5+cul6mpU8fG7HX37WnSyrotagsEVTy6ULMrzlSGOzGLvgLphtAbiKHBGMYhtuLd4TwYhS8KxEp4NnZvC2XW1dWlzPFOxgKf3HECAEh3T+9Yq+1HD0Xcx5ChX/teJvR2sKmji/X3z31M63fu0Qr/ToUsS5OKh2veGd5eZzo7Vay+7vaQpUefX9PrmBDbtvXwM2/rlg/PiUnQHgsf/vC5evzxlRH3MV2GLlo4RYWFOQN+vUMHWvSLHz2lN1/xyT5x0cG2pcKiIbrlcxfpiutT59gATkHoDcTQYAzjEHvx6nDG4J6NXVlZKZ/PF3GfWI2/4Y4TAACkh95bIUOGbPV83mDJ1qpD27WtZb8m5A5PYHVItLPHjNTZY0YmuwxHOdTUqiOtx6Pad9/BFh09HtSQ7Mw4VxWdCRNH6Lbb5uuPf1x22sddLkNFRbn63OcuHvBrHT7Yqq98/F7t29Ms2wqfm3/w2C/vrtbhg6269fMLB/xaAD7AYCIgRsJhXKTAW+oaxsHZwiNPUiV0dYL+zMZOFeEFPqWOi18nC2/HaoHPaO448fv9A3odAABS3Y6jhyIG3l33PRzfYgAH6mtnsplincy3fny+vvyVxSoo6OjkPvnrmTPnTP3il7dp2LCBL8D5h188r317mmSFes4K/u83r2jru3sG/FoAPkCnNxAjLFQHxF8yZ2PHQiLG33DHCQAAHTLN6P/c9bj40xjoq6KCIRpRlKt9B1si7mcY0vgxRcrOSq2/fw3D0FVXzVZV1Uy9tXyLdu0+LI8nQ+XlEzVqVGFMXuNI8zG9WL1GVi+zw02XqSf/9pa+/L0rY/K6AAi9EWPpPM5hsIdxwGCQjNnYsRbP8TeDefwLACD2trX61XhkkyxZGpc9RlPzy2Qa6XOz70WjSvXweysUsiPfiZmb4dG0wtgtVAekC9M0dN3ls3TPA8sinn/atnT9h85NYGV9k5Hh0rzz47OgqW/t+2oPhnrdzwpZWlG7OS41AOmK0BsxwYJpzgjjgMEgkbOx+yPaMDvWC3xK3HECAOjwXut2/W7rn7SldZsMddyub8vW8MxhunX8jSovmpXkChPjxglz9OC2+oj7mDJ0/fhyZbn4fQj0x3WXzdILb/q02b//tAtamqahaZNGq+qisxNem23b2rHjkI4da9OwYbkqKhr4qJK+iibw7s++AHpH6I0BY8G0D6R6GAc4QXg2dnV1dbcxHuHtWMzG7qtUuPjHHScAgG2tft31zo/VbrVLUpeZ1vvbDui/3/217jjz0zp/+NxklZgwk/JH6h+nLtZP33lOhtRturdpGJpSMFqfL70oCdUBzpCd5dYv//kG3f2b5/TK8ndlGoZM01DIsmVIunRemb71mUuV6U5c/GRZtp586m09/HC9duw41PnxOeUTdfPHKjXjnMT9nTB2/LCo9jNNQ94zRsS5GiC9EHpjQKJdMK24uDgtOr5TNYwDnCYRs7H7IlUu/nHHCQCkN9u29ZstS9VutctSz78H7t3yR80qPEc5GdkJrC45bjvrfBVn5+tXvpf1XuuBzo9nu9y6dvxsfansEuVkZCaxQmDwyxuSpR99/cPata9ZL9c1qrn1uIbmZeviyskaUZSX0Fosy9aPfvSEXnp5Q7fHVqzcpoYVW/Wdb1+hSy+dlpB6vBNHaOqMEvnWvn/aTvgwy7J1xfVzElITkC4IvTEgLJjWXaqFcYBTxXM2dl+k2sU/7jgBgPS1pXWb/Eff73W/oB3Usv21Wjzq4gRUlXwfGjtdl4+ZpnWHd2jXsSZluzI1e5hXORnc8QTE0ugR+br5yuTe5f3oow2nDbwldYbOP/5JtcrKxqikpCghNX3qS4v0rc/eJ8PomG9+KtNlaNKUMaq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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# plot the model fit\n", + "fig, ax = plt.subplots(1, 2, figsize=(16, 6))\n", + "fig.subplots_adjust(left=0.0625, right=0.95, wspace=0.1)\n", + "\n", + "ax[0].scatter(X2[:, 0], X2[:, 1], c='gray', s=50)\n", + "ax[0].axis([-4, 4, -3, 3])\n", + "\n", + "ax[1].scatter(X2[:, 0], X2[:, 1], c=y2, s=50,\n", + " cmap='viridis', norm=pts.norm)\n", + "ax[1].axis([-4, 4, -3, 3])\n", + "\n", + "# format plots\n", + "format_plot(ax[0], 'Unknown Data')\n", + "format_plot(ax[1], 'Predicted Labels')\n", + "\n", + "fig.savefig('figures/05.01-regression-4.png')" + ] + }, { "cell_type": "markdown", "metadata": { @@ -294,6 +683,52 @@ "For example, we might have some two-dimensional data like that shown in the following figure:" ] }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [], + "source": [ + "#from sklearn.datasets.samples_generator import make_blobs # old version\n", + "from sklearn.datasets import make_blobs\n", + "from sklearn.cluster import KMeans\n", + "\n", + "# create 50 separable points\n", + "X, y = make_blobs(n_samples=100, centers=4,\n", + " random_state=42, cluster_std=1.5)\n", + "\n", + "# Fit the K Means model\n", + "model = KMeans(4, random_state=0)\n", + "y = model.fit_predict(X)" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# plot the input data\n", + "fig, ax = plt.subplots(figsize=(8, 6))\n", + "ax.scatter(X[:, 0], X[:, 1], s=50, color='gray')\n", + "\n", + "# format the plot\n", + "format_plot(ax, 'Input Data')\n", + "\n", + "fig.savefig('figures/05.01-clustering-1.png')" + ] + }, { "cell_type": "markdown", "metadata": { @@ -316,6 +751,55 @@ "Using the very fast and intuitive *k*-means algorithm (see [In Depth: K-Means Clustering](05.11-K-Means.ipynb)), we find the clusters shown in the following figure:" ] }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[-10.10851833 5.05125208]\n", + " [ -5.65935137 -8.72640607]\n", + " [ -3.2134092 9.82812619]\n", + " [ -4.77543572 -8.98288619]\n", + " [ -8.30164672 8.16469971]]\n" + ] + } + ], + "source": [ + "# to see a number array X limit to 5 rows\n", + "print(X[:5])" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# plot the data with cluster labels\n", + "fig, ax = plt.subplots(figsize=(4, 3))\n", + "ax.scatter(X[:, 0], X[:, 1], s=50, c=y, cmap='viridis')\n", + "\n", + "# format the plot\n", + "format_plot(ax, 'Learned Cluster Labels')\n", + "\n", + "fig.savefig('figures/05.01-clustering-2.png')" + ] + }, { "cell_type": "markdown", "metadata": { @@ -366,6 +850,39 @@ "![](images/05.01-dimesionality-1.png)" ] }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.datasets import make_swiss_roll\n", + "\n", + "# make data\n", + "X, y = make_swiss_roll(200, noise=0.5, random_state=42) # 200 points in 3D space, noise added to data points\n", + "X = X[:, [0, 2]] # only retain the first and third dimensions\n", + "\n", + "# visualize data\n", + "fig, ax = plt.subplots()\n", + "ax.scatter(X[:, 0], X[:, 1], color='gray', s=30) # plot data points in 2D with size 30\n", + "\n", + "# format the plot\n", + "format_plot(ax, 'Input Data')\n", + "\n", + "fig.savefig('figures/05.01-dimesionality-1.png')" + ] + }, { "cell_type": "markdown", "metadata": { @@ -380,6 +897,41 @@ "The following figure shows a visualization of the results of the Isomap algorithm, a manifold learning algorithm that does exactly this." ] }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.manifold import Isomap\n", + "\n", + "model = Isomap(n_neighbors=8, n_components=1)\n", + "y_fit = model.fit_transform(X).ravel()\n", + "\n", + "# visualize data\n", + "fig, ax = plt.subplots()\n", + "pts = ax.scatter(X[:, 0], X[:, 1], c=y_fit, cmap='viridis', s=30)\n", + "cb = fig.colorbar(pts, ax=ax)\n", + "\n", + "# format the plot\n", + "format_plot(ax, 'Learned Latent Parameter')\n", + "cb.set_ticks([])\n", + "cb.set_label('Latent Variable', color='gray')\n", + "\n", + "fig.savefig('figures/05.01-dimesionality-2.png')" + ] + }, { "cell_type": "markdown", "metadata": { @@ -455,7 +1007,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.2" + "version": "3.12.1" } }, "nbformat": 4, diff --git a/notebooks/05.02-Introducing-Scikit-Learn.ipynb b/notebooks/05.02-Introducing-Scikit-Learn.ipynb index 60b614cc..55cc8326 100644 --- a/notebooks/05.02-Introducing-Scikit-Learn.ipynb +++ b/notebooks/05.02-Introducing-Scikit-Learn.ipynb @@ -218,7 +218,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 5, "metadata": { "collapsed": false, "deletable": true, @@ -230,14 +230,12 @@ "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ - "
" + "
" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -260,7 +258,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 6, "metadata": { "collapsed": false, "deletable": true, @@ -276,19 +274,19 @@ "(150, 4)" ] }, - "execution_count": 3, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "X_iris = iris.drop('species', axis=1)\n", + "X_iris = iris.drop('species', axis=1) # features matrix (X) is a DataFrame droping the column 'species'\n", "X_iris.shape" ] }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 7, "metadata": { "collapsed": false, "deletable": true, @@ -304,13 +302,13 @@ "(150,)" ] }, - "execution_count": 4, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "y_iris = iris['species']\n", + "y_iris = iris['species'] # target vector (y) is a Series with the column 'species'\n", "y_iris.shape" ] }, @@ -324,6 +322,51 @@ "To summarize, the expected layout of features and target values is visualized in the following figure." ] }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "fig = plt.figure(figsize=(6, 4))\n", + "ax = fig.add_axes([0, 0, 1, 1])\n", + "ax.axis('off')\n", + "ax.axis('equal')\n", + "\n", + "# Draw features matrix\n", + "ax.vlines(range(6), ymin=0, ymax=9, lw=1)\n", + "ax.hlines(range(10), xmin=0, xmax=5, lw=1)\n", + "font_prop = dict(size=12, family='monospace')\n", + "ax.text(-1, -1, \"Feature Matrix ($X$)\", size=14)\n", + "ax.text(0.1, -0.3, r'n_features $\\longrightarrow$', **font_prop)\n", + "ax.text(-0.1, 0.1, r'$\\longleftarrow$ n_samples', rotation=90,\n", + " va='top', ha='right', **font_prop)\n", + "\n", + "# Draw labels vector\n", + "ax.vlines(range(8, 10), ymin=0, ymax=9, lw=1)\n", + "ax.hlines(range(10), xmin=8, xmax=9, lw=1)\n", + "ax.text(7, -1, \"Target Vector ($y$)\", size=14)\n", + "ax.text(7.9, 0.1, r'$\\longleftarrow$ n_samples', rotation=90,\n", + " va='top', ha='right', **font_prop)\n", + "\n", + "ax.set_ylim(10, -2)\n", + "\n", + "fig.savefig('figures/05.02-samples-features.png')" + ] + }, { "cell_type": "markdown", "metadata": { @@ -418,7 +461,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 18, "metadata": { "collapsed": false, "deletable": true, @@ -430,14 +473,12 @@ "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ - "
" + "
" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -476,7 +517,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 14, "metadata": { "deletable": true, "editable": true, @@ -527,7 +568,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 16, "metadata": { "collapsed": false, "deletable": true, @@ -539,11 +580,418 @@ "outputs": [ { "data": { + "text/html": [ + "
LinearRegression()
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" + ], "text/plain": [ "LinearRegression()" ] }, - "execution_count": 7, + "execution_count": 16, "metadata": {}, "output_type": "execute_result" } @@ -580,7 +1028,27 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(50,)" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "x.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 22, "metadata": { "collapsed": false, "deletable": true, @@ -596,16 +1064,37 @@ "(50, 1)" ] }, - "execution_count": 8, + "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "X = x[:, np.newaxis]\n", + "X = x[:, np.newaxis] # X should be a 2D array with one column (feature) and 50 rows (samples)\n", "X.shape" ] }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[3.74540119]\n", + " [9.50714306]\n", + " [7.31993942]\n", + " [5.98658484]\n", + " [1.5601864 ]]\n" + ] + } + ], + "source": [ + "print(X[:5])" + ] + }, { "cell_type": "markdown", "metadata": { @@ -621,7 +1110,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 25, "metadata": { "collapsed": false, "deletable": true, @@ -633,11 +1122,418 @@ "outputs": [ { "data": { + "text/html": [ + "
LinearRegression()
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" + ], "text/plain": [ "LinearRegression()" ] }, - "execution_count": 9, + "execution_count": 25, "metadata": {}, "output_type": "execute_result" } @@ -659,7 +1555,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 26, "metadata": { "collapsed": false, "deletable": true, @@ -675,7 +1571,7 @@ "array([1.9776566])" ] }, - "execution_count": 10, + "execution_count": 26, "metadata": {}, "output_type": "execute_result" } @@ -686,7 +1582,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 27, "metadata": { "collapsed": false, "deletable": true, @@ -699,10 +1595,10 @@ { "data": { "text/plain": [ - "-0.9033107255311146" + "-0.903310725531111" ] }, - "execution_count": 11, + "execution_count": 27, "metadata": {}, "output_type": "execute_result" } @@ -744,7 +1640,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 32, "metadata": { "deletable": true, "editable": true, @@ -752,7 +1648,7 @@ }, "outputs": [], "source": [ - "xfit = np.linspace(-1, 11)" + "xfit = np.linspace(-1, 11) # create a range of values from -1 to 11" ] }, { @@ -767,7 +1663,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 33, "metadata": { "collapsed": false, "deletable": true, @@ -794,7 +1690,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 34, "metadata": { "collapsed": false, "deletable": true, @@ -806,14 +1702,12 @@ "outputs": [ { "data": { - "image/png": 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", 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neqGiLgkAhacr1GWVTYaTlgSQSr0Bb/33HN7/+RIAILyTDzbOjEY3fy+zP4vEYc79m9MuREQEoLpVeWPBA6heS1FUVtnoaxJUj4iMCVOaNdpwo6gc8+NVUF0tAgDMHdYVz03oB7lL49Ms5NgYPoiICEDr+2DUbeZl6vkse9Nz8dTXqVCXV8Lb3QVvThuI8QO4PqOtY/ggIiIAluuDYUqIqagy4I3Es/jPkUwAQERnBTbOikaIr6dFarAkriOxPIYPIiIC0Hy/DFM1F2KuFZYhLl6F1OtqAMD/jQjFMzF94eZifyd+mLLzh8xnf/9PExGRKGr6ZQB/LiCtUfO4vadrg9fqXhPUTDOvxLRs3Lf+MFKvq6HwcMWHfxuM5RPD7DZ4zNuqarAOhifltp79/b9NRESiqemXoVTUH71QKtyxZU40Xp86AEDj4aSxZl7aSj1W7ErDv7eqUKytQnSX9tizcCTGhAVa4Z+i9fQGASsT0o2OAPGk3NbjtAsREdUTEx6EMWHKRtc5mNvM63J+KWLjVTidpQEA/Ovu7nhqbB+4yuz3v39N2flj7uJa+hPDBxERNSCTShq9qTYXTur6PjULz+04hRJdFTp4umLt9EiM6htg7fJbzdSdPzwpt2UYPoiIyGxNhROgeprl5d3piD92FQAwpJsv3p0ZiSCFh61KbBWelGtdDB9ERGRRGTdLEPuFCmdziiGRAE/8tQcWj+4NFzueZrkdT8q1Lsf5m0BERHZvZ/J1TNpwBGdziuHfzg2fPz4ET4/r61DBAzBt5w9Pym05x/rbQEREdqm8Qo+l36Ri8fZUlFXoMay7H/YsGImRvTqKXVqLNbXzp6Vn2FA1s6ddfv75Z6xZswYnTpxAdnY2du7ciSlTptS+/uijj+Kzzz6r955x48YhMTGx1cUSEZH9uZBbjCe+UOFCXgkkEmDhvb0w/55eAICkjAKH7gxqzuJaMp3Z4aO0tBQRERF4/PHHMXXqVKPXxMTE4JNPPql9LJfLW14hERHZra9/v4blu9KgrTSgo7cc786IxF09/NtUZ9DmFteS+cwOH+PHj8f48eObvEYul0OpVLa4KCIism+luios35WGHaobAICRvfzxzsOR8G8nr+0MevtCzZrOoJyyIKus+Th48CACAgLQp08fzJs3DwUFBY1eq9PpoNFo6v0hIiL7dTZHg/s3HsEO1Q1IJcDT4/rgs8eGwL+dnJ1BySQWDx8xMTH4/PPPsX//frzxxhs4dOgQxo8fD71eb/T61atXQ6FQ1P4JCQmxdElERGQBgiBg2/GrmLzxF2TcLIXSxx1f/nMYYkf1hPSPNRDmdAYl52XxPh8zZsyo/d8DBgzAwIED0aNHDxw8eBD33ntvg+uXLVuGJUuW1D7WaDQMIEREdqZYW4nndqYhITULADCqT0e8PT0Svl5u9a5jZ1AyhdWbjHXv3h3+/v64ePGi0fAhl8u5IJWIyI6l3VAjLl6FywVlkEklWDquD/4xsnvtaEdd7AxKprB6+Lh+/ToKCgoQFMTFRUREjkQQBGw9egWv7D6DCr0Bndp7YP3MKAzq2qHR97AzKJnC7PBRUlKCixcv1j7OzMxESkoKfH194evri5UrV2LatGlQKpXIyMjA0qVL0bNnT4wbN86ihRMRkfWoyyuxbMdJ7DmVAwAY3S8Qbz00EO093Zp8X01n0HlbVZAA9QIIO4NSDYkgCGYtOT548CBGjRrV4Pm5c+di8+bNmDJlCpKTk1FUVITg4GCMHTsWr7zyCgIDA036fI1GA4VCAbVaDR8fH3NKIyIiCzh5vQix8SpcKyyHq0yCZ2L64v9GhEIiMT0wtKU+H2Qac+7fZocPa2P4ICIShyAI+PiXy3j9xzOo1Avo3MEDG2dFIzKkfYs+T28Q2BnUiZhz/+aptkREhKKyCjz19UnsO5MLABjXPxBvPhgBhYdriz+TnUGpMQwfRERO7sSVW1iwLRk3isrhJpPi+Qn98LdhXc2aZiEyB8MHEZGTMhgEfHj4Etb89xyqDAK6+nli06xohHdSiF0atXEMH0RETqiwtAJPfpWCA+duAgAmDgzC6qkD4O3e8mkWIlMxfBAROZnjmYVYsC0ZORot3FykeGlSf8wcEsJpFrIZhg8iIidhMAjYfCgDa/eeh94goLu/FzbNjka/IO4sJNti+CAicgL5JTos3p6CwxfyAQAPRHXCq1PC4SXnbYBsj3/riIjauF8z8rHwyxTcLNbB3VWKl+8Px0ODO3OahUTD8EFE1EbpDQI2/HQB6/dfgEEAegW0w6bZ0egd6C12aeTkGD6IiNqA27uJdvPzxJNfp+LXjAIAwEODOmPl5P7wdOOvfRIf/xYSETk4Y+eoSCWAQQA83WR4dUo4pkZ3FrFCovoYPoiIHFhiWjbmbVU1OL7e8McTS8f1YfAguyMVuwAiImoZvUHAyoT0BsGjrvd/vgS9wa7ODyVi+CAiclTHMwvrTbUYk63W4nhmoY0qIjINwwcRkYPKVpebdF1ecdMBhcjWGD6IiBzQjaJybDmUYdK1Ad7uVq6GyDxccEpE5GD2pefiya9ToS6vhARodM2HBIBS4Y4hob42rI6oeRz5ICJyEBVVBry6Ox1///x3qMsrMbCzAi9P7g8JqoNGXTWPV0wKg0zKTqZkXzjyQUTkAK4VliFuWzJSrxUBAB4fHopnx/eFm4sUHb3lDfp8KBXuWDEpDDHhQSJVTNQ4hg8iIjuXmJaDp79JRbG2Cj7uLnjroQiM7a+sfT0mPAhjwpT1OpwOCfXliAfZLYYPIiIR3d4WvW5o0FXpseqHM/gs6QoAIKpLe2yYGYXOHTwbfI5MKsGwHn42rZ2opRg+iIhEYqwtetAf0yV9lT6I26ZC2g0NAOBfd3fHU2P7wFXGpXrk+Bg+iIhE0Fhb9By1Fv/eqoK7qxTaSgM6eLpi7fRIjOobIEqdRNbA8EFEZGNNtUWveU5bacDgrh2wYVYUghQetiyPyOo4fkdEZGOmtEUHgEWjezN4UJvE8EFEZGOmtjsvKNVZuRIicTB8EBHZmKntztkWndoqhg8iIhsbEuoL/3Zujb4uQfWuF7ZFp7aK4YOIyMZ2qK5DU15l9DW2RSdnwN0uREQ2UqqrwvJdadihugEA6Kv0RmFpBfKK/1zbwbbo5AwYPoiIbOBMtgZx8Spk3CyFVAIsGdMbT/y1JwSAbdHJ6TB8EBFZkSAI2Hb8GlYmnIauyoBAHznWz4jC0O5/tkJnW3RyNgwfRERWUqytxHM705CQmgUAuLt3R6ydHgG/dnKRKyMSF8MHEZEVpN1QIy5ehcsFZZBJJXh6XB/8c2R3SDmlQsTwQURkSYIgYOvRK3hl9xlU6A3w83LDI8O6IqJze6Pt1ImcEcMHEZGFaLSVePbbk9hzKgcAIHeRoqC0Auv2XQBwofbEWu5kIWfHPh9ERBZw8noRJq4/gj2nclAzs6KrMtS7JketxbytKiSmZYtQIZH9YPggImoFQRDw8ZFMTNv8K64WlqFTew908DTevbRm2mVlQjr0Bk7CkPNi+CAi+oPeICApowC7Um4gKaOg2YCgLqvEv/7fCby8Ox2VegHj+gfipfv7o6C0otH3CACy1Voczyy0cPVEjoNrPoiIACSmZWNlQnq9o+6bWqOhunoL8+OTcaOoHG4yKZ6f0A9/G9YV3/+xrbY5pp5sC1SHIjYio7aE4YOInJreIGDjTxfxzr7zDV6rWaOxeU50bQAxGAR8dOQS3kw8hyqDgK5+ntg4MxoDOisAWP7EWnNDEZEj4LQLETmtxLRsDH99v9HgATRco3GrtAJ///x3rNpzFlUGARMGBiFh/oja4AFUn1gbpHBHY+MS5pxYm5iWjXlbVfWCB8CFq+T4GD6IyOnoDQLe3Xce/96qQo5G1+S1NWs0Pk+6jPvWH8ZPZ/Pg5iLFaw+EY+PMKPi4u9a7XiaVYMWkMABoEEDMObFWbxCwMiHdaG8QLlwlR8fwQUROpXq04ye8s++CWe97ZXf11Ed3fy9898RwzB7aFRKJ8QAREx6EzXOioVTUn1pRKtzrTeE05XhmYYMRj7q4cJUcGdd8EJHTqJnGaMlYgUEApkQG49UHBqCdvPlfnTHhQRgTpmzxQlFTF6Sas3CVyF4wfBCRU2hqGsMUq6cOwIw7Qhod7TBGJpW0+MRaSy9cJbInnHYhIqfQ3DRGU16c2A8zh3QxK3i0liUXrhLZG4YPInIKLZme8HCV4d0ZEXh8RHcrVNQ0Sy1cJbJHDB9E5BTMnZ6I6OSDj/42GBMHdrJSRc2zxMJVInskEQTBrvZpaTQaKBQKqNVq+Pj4iF0OEbUReoOAEW/8hBy11qx1H/bQ0IsdTskRmHP/5sgHETmFpqYxmmIPDb1qFq5OjuyEYT38GDzI4TF8EJHTaGwaoyls6EVkeQwfRORU7u0XiAGdzJvSZUMvIstinw8ichpZReWIi0+G6uqtFr2fDb2ILIPhg4icwr70XDz1TSqKyipb/Bls6EVkGQwfRCQqa+/kqKgy4M3Es/joSCYAIMTXA9cKy836DAmqt7eyoReRZTB8EJFoEtOysTIhvV7nUUtubb1WWIa4bclIvVYEAHh8eChG9emIRz4+bvJnsKEXkeUxfBCRKBo75K1ma2trm2glpuVg6Tep0Gir4OPugrceisDY/kroDQKCFO4m9/tQ2kGfD6K2huGDiGyuqUPeBFSPNqxMSMeYMKXZow26Kj1W7zmLT3+9DACI6tIeG2ZGoXMHTwB/9vuYt1UFCVCvhprHi0f3Qjd/Lzb0IrIShg8isrnmDnmru7XVnFNhrxSUIi4+GaduqAEA//pLdzw1rg9cZfW7CtT0+7h9yoejHES2YXb4+Pnnn7FmzRqcOHEC2dnZ2LlzJ6ZMmVL7uiAIWLFiBT788EMUFRVh+PDh2Lx5M3r16mXJuonIgZm6ZdWcra27T2bh2W9PoURXhQ6ernh7egTu6RvY6PUx4UEYE6Zk23IiEZjdZKy0tBQRERHYtGmT0dfffPNNrF+/Hlu2bMGxY8fg5eWFcePGQavl/ngiqmbqllVTrtNW6vH8zlOIi09Gia4Kd3TrgD0LRzYZPGqwbTmROMwe+Rg/fjzGjx9v9DVBELBu3Tq88MILmDx5MgDg888/R2BgIL777jvMmDGjddUSUZswJNS3yUWfpm5tvXSzBLHxyTiTrQEAPPHXHlgypjdcZGzeTGTPLPpvaGZmJnJycjB69Oja5xQKBYYOHYqkpCSj79HpdNBoNPX+EFHb1twhbwKA5RP6NTkS8V3yDUzccARnsjXw83LDZ48PwdKYvgweRA7Aov+W5uTkAAACA+sPdwYGBta+drvVq1dDoVDU/gkJCbFkSURkp5o75O2VH84YPUm2vEKPZ745iUXbU1BWoced3X2xZ+FI3N27o7VLJiILEf0/EZYtWwa1Wl3759q1a2KXREQ2EhMehOUTwoy+Zuwo+wu5xZi86Qi2/34NEgmw4N5e+OLvdyLQh23PiRyJRbfaKpVKAEBubi6Cgv7cqpabm4vIyEij75HL5ZDL5ZYsg4gchN4g4JUf0o2+dnu/jx2q63hx12mUV+rh306O9TMicVdPf5vWS0SWYdGRj9DQUCiVSuzfv7/2OY1Gg2PHjmHYsGGW/CoiagNM7ffx6CfH8fQ3J1FeqceInv74ceFIBg8iB2b2yEdJSQkuXrxY+zgzMxMpKSnw9fVFly5dsGjRIrz66qvo1asXQkNDsXz5cgQHB9frBUJEBJjex+PwhXxIJcDi0b3xr7t74MSVW/g1I5+9OYgclNnh4/fff8eoUaNqHy9ZsgQAMHfuXHz66adYunQpSktL8c9//hNFRUUYMWIEEhMT4e7OOVkiqs/Ufh8dPF2xec4gFJVV4O41B6x2EB0R2YZEEARTzlayGY1GA4VCAbVaDR8fH7HLISIL0BsEo51E9QYBI974qclD3uQuUhxeOgqqq7eMHkRXM+bR2oPoiKh1zLl/82wXIrKqxLTsBmeo1B2taOyQtxpvPxQBv3Zyqx1ER0S2J/pWWyJquxLTsjFvq6rBotK622hjwoPw3uwoeLsb/2+h1/acwcafLph8EB0R2T+GDyKyCr1BaHK0AqgerSgqq8DukznQaKuMfk6OWot39l0w6TvNOYiOiMTDaRciMklj6zYaY+o22rHv/Iy8Yl2T15nK1AWsRCQuhg8ialZz6zaMMXUUIq9YB/92bsgvqWhxfaYeREdE9oHTLkTUJFPWbRhj6ijEHd064MmxvU2u5/axlprHKyaFcbEpkYNg+CCiRpm6bkNvaHjFkFBfBCncjZ5aW8PH3QXb/nEnuvm1M6mexaN7NziITqlw5zZbIgfDaRciapSp6zaOZxZiWA+/eq/JpJLabbSNefPBgXCRSWuDSmP9PmqmVeLu6Ym4e3qatfaEiOwPRz6IqFGmr9swfl1MeBDWPDQQcpf6v2oCfeTYUme0oiaoAM1Pq8ikEgzr4YfJkZ0wrIcfgweRA+LIBxE1ytR1G41d9/vlQrz9v/PQVRngKpNgSlQnPBDZCUO7NwwNMeFB2DwnusHCViXbpxO1OQwfRNQoU6dDbt9lYjAI2PJzBt7+33noDQJC/b2wcVYU+gcrmvy+mPAgjAlTclqFqI1j+CCiRtVdt3F7+/PGdpkUlOiw5KtUHDp/EwAwOTIYrz0wAO3kpv26qZlWIaK2i2s+iKhJNdMhpuwyOXqpAPetP4xD529C7iLFG9MGYN3DkSYHDyJyDvyNQETNam46RG8QsOnARazbdx4GAegZ0A6bZkWjj9Jb5MqJyB4xfBCRSRqbDskr1mLx9hT8crEAADAtujNemdIfnm789UJExvG3AxG12C8X87HwyxTkl+jg4SrDK1PC8eCgzmKXRUR2juGDiMymNwh4d995bDhwEYIA9An0xqbZUegZwGkWImoewwcRmXViba5GiwXbknEssxAAMOOOEKyY1B8ebjJblkxEDozhg8jJmXNi7cFzeVjyVSoKSyvg5SbDqqkDMDmyk61LJiIHx622RE7M1BNrq/QGvJF4Fo9+8hsKSyvQL8gHCfNHMHgQUYtw5IPISTV3Yq0E1SfW9g9WYPH2FPx+5RYAYM6dXfDChDC4u3KahYhahuGDyEmZemLt+HcPo0RXBW+5C1ZPG4CJA4NtVyQRtUkMH0ROytQTa0t0VRjQSYGNs6LQ1c/LylURkTNg+CByUqaeWBvTX4l3Z0ZC7sJpFiKyDC44JXJSNSfWNnVebAdPV2yaHc3gQUQWxfBB5KRqTqxtyuqpA3icPRFZHMMHkROLCQ/Cy5P7w1VWP2AofeTYctuJtURElsI1H0QOxJxOpKb44WQ23kw8h0q9gHZyF8wcEoJ7+ga2+nOJiJrC8EHkIMzpRNocbaUer/6Qjq1HrwIABnftgPUzoxDc3sOiNRMRGcNpFyIHYGonUlNculmCB977tTZ4PPHXHtj2zzsZPIjIZjjyQWTnTO1EOiZM2exUya6UG3huxymUVujh6+WGdx6OxN29O1qjbCKiRjF8ENk5UzuRHs8sxLAefkavKa/QY2XCaXz52zUAwNBQX6yfGYVAH9N6fRARWRLDB5GdM7UTaWPXXcwrRuwXyTiXWwyJBJg/qicW3NsLLjLOuhKROBg+iOycqZ1IjV33zYnrWP5dGsor9fBvJ8e7MyIxvKe/pUskIjILwweRnavpRJqj1hpd9yEBoFRUb7utUVZRheXfnca3qusAgOE9/fDOw5EmBxkiImviuCuRnavbifT25aQ1j1dMCqtdbHoupxj3b/wF36quQyoBlozpjc8fH8rgQUR2g+GDyAHEhAdh85xoKBX1A4RS4Y7Nf3QiFQQB23+7ivs3HsHFvBIEeMsR/487seDeXmwYRkR2hdMuRA4iJjwIY8KURjucluiq8MLOU/guJQsA8JfeHbF2egT828lFrpqIqCGGDyIHIpNKGmynTc/SIC5ehUv5pZBJJXhybG/8+y89IOVoBxHZKYYPIgclCAK+OHYVL+9OR0WVAUEKd6yfGYU7uvk2/2YiIhExfBA5II22Est2nMIPJ6vbqt/TNwBvPxSBDl5uIldGRNQ8hg8iB3Pquhpx21S4UlAGF6kES2P64O8junOahYgcBsMHkYMQBAGf/XoZq/acRYXegE7tPbBhVhSiu3QQuzQiIrMwfBBZmN4gGN2R0hrqskos/TYV/z2dCwAYGxaINQ9GQOHpaomSiYhsiuGDyIIS07KxMiG93kFwQQp3rJgUhpjwoBZ9ZvLVW5i/LRnXb5XDVSbBc/f1w6N3dYNEwmkWInJMbDJGZCGJadmYt1XV4ATaHLUW87aqkJiWbdbnCYKAjw5fwkNbknD9Vjm6+Hri23l34bHhoQweROTQOPJBZAF6g4CVCelGz14RUN0GfWVCOsaEKU2agrlVWoGnvk7F/rN5AIAJA4KwetoA+LhzmoWIHB/DB5EFHM8sbDDiUZcAIFutxfHMwgZNwm534koh5scnI0uthZuLFMsnhmHO0C42G+2wxpoVIqK6GD6IzGTs5pxX3HjwqKup6wwGAe//fAlv/e8c9AYBof5e2DgrCv2DFZYqvVnWWLNCRHQ7hg8iMzR2c55xR4hJ72/sZNmCEh2WfJWKQ+dvAgAmRwbjtQcGoJ3cdv+K1qxZuX3qqGbNSs0BdkRErcXwQWSipm7O7+y7gPaerlCXVRpd9yFB9Qm0Q0Ibtj4/dqkAC75MRq5GB7mLFC9P7o/pg0NsuqjU0mtWiIiawvBBZAJTbs41JH88V/cxAKyYFFbvxq03CHjvwEW8s+88DALQo6MX3ps9CH2U3havvzmWXLNCRNQcbrUlMoEpN+eiskosGt0bSkX9qRWlwr3BlMXNYh3mfnwcb++tDh7TojsjYf4IUYIH0PRalJZcR0TUFI58EJnA1JtuN39PHHnmniZ3i/xyMR8Lv0xBfokOHq4yvDIlHA8O6myt0k3S2FqUll5HRNQUhg8iE5hzc5ZJJUanJvQGAe/uv4ANP12AIAB9Ar2xcVYUegWKM9pR15BQXwQp3JGj1pq9ZoWIyFycdiEyQc3NubGllhJU73pp7Oacq9Fi9kdHsX5/dfCYcUcIvosdbhfBAwBkUglWTAoDgAb/jI2tWSEiaimGDyITNHdzFlAdKHafzEJSRgH0hj/HDw6dv4n73j2Mo5cK4eUmw7szIvH6tIHwcJPZrH5TxIQHYfOcaJPWrBARtYZEEARjo6yi0Wg0UCgUUKvV8PHxEbsconqM9flo/8fJskVllbXPBSnc8cKEfkjL0mDzwQwAQL8gH2yaFYXuHduZ9Z227jjKDqdE1BLm3L8ZPojMVPfmfDm/DOv2nTe6TqKuOXd2wQsTwuDuat5oBzuOEpGjMOf+zWkXIjPVLCidODAYX/52tcngIQGwfkYUXp0yoEXBw5Kn5BIR2QuLh4+XXnoJEomk3p++ffta+muIRNdc7w+gei1IR2+52Z/dXFMzoLrjaN21JUREjsIqW2379++Pffv2/fklLtzRS22PNRtzseMoEbVlVkkFLi4uUCqV1vhoIrthzcZc7DhKRG2ZVdZ8XLhwAcHBwejevTtmz56Nq1evNnqtTqeDRqOp94fIEUSGtIdnE9tlm+v90RR2HCWitszi4WPo0KH49NNPkZiYiM2bNyMzMxMjR45EcXGx0etXr14NhUJR+yckxLSjyYnEdLWgDA9/kISyCr3R11vbmKu1Tc2IiOyZ1bfaFhUVoWvXrli7di3+7//+r8HrOp0OOp2u9rFGo0FISAi32pLd+vFUNpZ+cxLFuiq093TFrCEh2JmcZfHtsDW7XQDjp+Sy8RcR2RNzttpafSVo+/bt0bt3b1y8eNHo63K5HHK5+bsBiGxNW6nHqj1n8HnSFQDAoK4dsGFmFILbe+DJsX0t3pirpuPo7X0+lOzzQUQOzurho6SkBBkZGXjkkUes/VVEVpOZX4q4eBVOZ1WvSZr31x5YMqY3XGXVM5eNHSbXWjHhQRgTpmTHUSJqUywePp566ilMmjQJXbt2RVZWFlasWAGZTIaZM2da+quIbOL71Cws+/YkSiv08PVyw9rpEfhrnwCbfb+1gg0RkVgsHj6uX7+OmTNnoqCgAB07dsSIESNw9OhRdOzY0dJfRWRV2ko9ViakY9vx6t1aQ0J9sX5GVIOD14iIyDwWDx9ffvmlpT+SyOYu5pUgLl6FsznFkEiA+aN6YsG9veAiM75BjIexERGZjq1HiW6zQ3Udz+9MQ3mlHv7t5Fj3cCRG9PJv9Hoe/kZEZB4eLEf0h7KKKjz1dSqWfJWK8ko97urhhz0LRzQbPHj4GxGReTjyQQTgfG4xYr9Q4UJeCaQSYOG9vRF3T88mp06aO/xNgurD38aEKTkFQ0RUB8MHiUrstRKCIOCr369hxfenoa00IMBbjndnRJm0u4SHvxERtQzDB4mmtWslWhtcSnRVeGHnKXyXkgUAGNnLH+88HAn/dqY1vePhb0RELcPwQaKoWStx+5RFzVqJ5lqHtza4pGdpEBevwqX8UsikEjw5tjf+/ZcekJoRXnj4GxFRy3DBKdlcc2slgOq1EnqD8WOHWrPIUxAEbD16BVPe+wWX8ksRpHDHl/+8E0/8tafJwUNvEJCUUYAcjRa+Xq6NXsfD34iIjOPIB9mcqWslPv0lE48OD603ldKaRZ7F2kos23EKu09Wh5N7+gbgrYci4OvlZnLtxkZcjGntqbZERG0ZRz7I5kxdA/HKD2cw/PX99UYyzFnkWdep62pM3HAEu09mw0UqwXP39cVHfxtsdvAwNuJijFLhzlNniYgawZEPsjlz1kDkaHT491YVtvxxIzd3kacgCPjs18tYtecsKvQGdGrvgfUzozCoawezam5qxAWoHunw9XLDCxP6QanwYIdTIqImMHyQzQ0J9UWQwh05am2jN/PbPbvjFMaEKc1a5Kkur8Qz35xE4ukcAMCYsEC89WAEFJ6Nr9NojCkjLgWlFVAqPLitloioGZx2IZuTSSVYMSkMwJ9rI5pTVFaJoxkFtcGlsffVLPKUu0gxYf1hJJ7OgatMghcnhuGDRwYZDR41C0h3pdxAUkaB0YWu3FZLRGQ5HPkgUcSEB2HznGiTFm/WSLqUj+G9/LFiUhjmbVVBAtQbOal5PLyHH6a/n4Qqg4AQXw9snBmNiJD2Rj/T1C273FZLRGQ5HPkg0cSEB+HIM/dgSmSwie+Q1L5v85zoBkfbB3jLMbCTAt+obqDKIOC+AUr8sGBkk8HD1C27po64cFstEVHzOPJBopJJJXhocEhtl9Gm1F1LERMehDFhytoOp0VlldhyKAMnb6jhJpNi+cR+mHNnV0gkxuOCuVt2a6aKGhtxAbitlojIVBz5INHd2d0P7U1YBKouq6z3WCaVYGioL7LVWry8u3rqpJufJ3Y8cRceGdat0eABtGzLbmMjLtxWS0RkHo58kOhkUglWTQnHE/HJTV73yg/pGBf+Z/OwghIdnvw6FQfP3QQATIoIxqoHwuHt3nyQaekC0ttHXMQ4DI+IyNExfJBd6ODV/GFu2Wot3tl7DsN7dgQALNqejFyNDnIXKV66vz9m3BHS5GhHXa1ZQCqTSridloioFRg+yC6YOhKx8UAGNh7IqH3cvaMXNs2KRr8gH7O+r7leIxJUT6dwASkRkeVxzQfZhZZuUV1wT0+zgwfQdK8RLiAlIrIuhg+yC81tZTVGAuCNxHONnn7bHC4gJSISB6ddyC40tZW1MXV3pLR0DQYXkBIR2R7DB9mNlnQ9BVrf0pwLSImIbIvTLmRXarqeLhvfFx6uMpPew5bmRESOhSMfZFeq9Aa8s+883juYAUEAXKQSVDWypoM7UoiIHBNHPshuZKvLMfPDo9h0oDp4zB7aBWunR0AC7kghImpLOPJBduHA2Tws+SoFt8oq0U7ugtenDcDEgdUHzrm5SBusA1EaOXmWiIgcA8MHiapSb8Bb/z2H93++BAAI7+SDTbOi0dXPq/Ya7kghImpbGD5INDeKyjE/XgXV1SIAwKN3dcOy+/pC7tJwoSl3pBARtR0MHySKvem5eOrrVKjLK+Ht7oI1Dw7kFAoRkZNg+CCbqqgy4PUfz+LjXzIBABEh7bFxZhRCfD1FroyIiGyF4YNs5lphGeLiVUi9rgYA/H1EKJbG9IWbCzddERE5E4YPsokfT2Vj6bcnUaytgsLDFW8/FIHRYYFil0VERCJg+CCr0lbqsWrPGXyedAUAMKhrB6yfGYVO7T1EroyIiMTC8EFWk5lfirh4FU5naQAA/7q7O54a2weuMk6zEBE5M4YPsorvU7Pw3I5TKNFVwdfLDW9Pj8CoPgFil0VERHaA4YMsqlRXhQXbkrH/bB4A4I5uHbBhZjSUCh7+RkRE1Rg+yGI+/SUTr/5wpt5BcNcKy5By7RZiFOzhQURE1Tj5Thbx0vdpeCkhvcEJtLkaHeZtVSExLVukyoiIyN5w5INapayiCi/uOo1vTlw3+rqA6hNoVyakw1vuivxSHc9mISJycgwf1GLnc4sR+4UKF/JKmrxOAJCt1mL2f47VPhfEU2mJiJwWp13IbFV6A1bvOYMJ6w/jQl4JvN3Nz7A5ai2nY4iInBRHPhyM3iCIerT8d8nXsWzHKZRXGmqfa8n3152OGROm5BQMEZETYfhwIIlp2ViZkI5stbb2OVtOX3x0OAOv/nC2wfPqssoWfV7NdMzxzEIM6+HXyuqIiMhRcNrFQSSmZWPeVlW94AHYZvpCEAT8v6QrRoMHUB0iWiOvWNv8RURE1GYwfDgAvUHAyoR0ozf5mudWJqRDb2htDGioWFuJ+duSsXxXmknX+3q5mv0dAd5sQEZE5Ew47eIAjmcWNhjxqMta0xdpN9SIi1fhckEZpBLAlGyzfGJ/KH3ckVeshX87OZ78KgW5Gp3R4CQBoFRUr1shIiLnwZEPB2DqtISlpi8EQcBnv17G1Pd+xeWCMnRq74EVk/qb9F6ljzuG9fDD5MhOGN7THy/dX/2+25eT1jxeMSmMi02JiJwMw4cDMHVawhLTF+rySszbqsKK70+jQm/A6H6B+GHBCMy5syuCFO4NQkQNCaoXv94+ihETHoTNcxqe7aJUuGPznGj2+SAickKcdnEAQ0J9EaRwR45aa9Xpi5RrRYiLV+H6rXLIpBLMHtoFL04Mg4usOqOumBSGeVtVkKD+ItPmRjFiwoMwJkwp6hZhIiKyHxz5cAAyqQQrJoUBsM70hSAI+OjwJUzb/Cuu3yoHUL3I9fOkKxj55oHanTQcxSAiIkuQCIJg+S0SraDRaKBQKKBWq+Hj4yN2OXbFGn0+isoq8NTXJ7HvTK7R12viTN1wYW6jM7H7kxARkfWZc/9m+HAwluxweuLKLcyPVyGriZ00wJ/TOkeeucfs76rpT3L7XzJjoYaIiByXOfdvrvlwMDKppNXbaQ0GAR8cvoQ1/z0HvUGA0scdORrLb+Vtrj8J26sTETknrvlwMoWlFXj8s9/w+o9noTcImBQRjMVjepn0XnO38prTn4SIiJwHRz7auLrTNIUlFXj/50vI0Wghd5Hipfv7Y8YdITh6ybSbv7lbeW3dn4SIiBwDw0cbZmyhJwAE+sjx6WND0C+oek7OWlt5bdmfhIiIHAenXdqoxg6iA4BcjQ5XCkprH1trK29NqDG3MRkREbVtDB9tUFMLPYE/F3rWPYjOGj08rN2fhIiIHBOnXdqgoxkFLTqIzhqdSGtCze3TP0r2+SAiclpWCx+bNm3CmjVrkJOTg4iICGzYsAFDhgyx1tfRH/I0WryUcNq0a40s9LTEVt7bsb06ERHVZZXwsX37dixZsgRbtmzB0KFDsW7dOowbNw7nzp1DQECANb6SABy+cBOLt6cgv6TCpOttudDTGqGGiIgck1XWfKxduxb/+Mc/8NhjjyEsLAxbtmyBp6cnPv74Y2t8XZulNwhIyijArpQbSMooqLdGo64qvQFv/fcc/vbxceSXVKCv0hsd27lxoScREdkli498VFRU4MSJE1i2bFntc1KpFKNHj0ZSUlKD63U6HXQ6Xe1jjUZj6ZIckqnnoWSry7FwWwqOX67u1TFraBc8f18/fHQ4E+/sO9/gc7nQk4iIxGbxkY/8/Hzo9XoEBgbWez4wMBA5OTkNrl+9ejUUCkXtn5CQEEuX5HAa2yabo9Zi3lZV7SmzB87m4b53D+P45UK0k7tg/cwo/KWXP0avPWQ0eAA8gZaIiMQn+m6XZcuWYcmSJbWPNRqNUwcQU85Deen70zhxpQgfHr4EAOgf7INNs6JxNkdj9BC3GotH90LcPb044kFERKKy+MiHv78/ZDIZcnPrH9Gem5sLpVLZ4Hq5XA4fH596f5yZKeeh5Gh0tcFj7rCu+HbeXQjx9Wy2t8eXv12zeL1ERETmsnj4cHNzw6BBg7B///7a5wwGA/bv349hw4ZZ+uvaHFPPOfFwlWLz7GisnBwOd1cZD3EjIiKHYZVplyVLlmDu3LkYPHgwhgwZgnXr1qG0tBSPPfaYNb6uTTF1++vrUwdi/IA/123wEDciInIUVgkfDz/8MG7evIkXX3wROTk5iIyMRGJiYoNFqNRQc4e8AYDSR46JEcG1j/UGAfnFukauro+HuBERkdgkgiA0do8ThUajgUKhgFqtdtr1HzW7XRo7YbbubpXGTq419j6lwh1HnrmHC06JiMjizLl/82A5O/TXPgG4u0/HBs8H3bZNtqmTa+tibw8iIrInom+1pfou55ciNl6F01nVzdYmDQzCqL4BCFJ41DsPpbmTa+viIW5ERGRPGD7sSEJqFpbtOIUSXRU6eLpi7fRIjOpr/Cyc5na31Fg+oR8eHR7KEQ8iIrIbDB92QFupx8u70xF/7CoAYEg3X7w7MxJBCo9G32PqrhV/bzmDBxER2RWGD5Fl3CxB7BcqnM0phkQCxP61JxaN7gUXWdPLcUzdtcLdLUREZG8YPkS0M/k6nt+ZhrIKPfzbueGdhyMxslfDhabGNLclt2Z3C0+uJSIie8PdLiIor9Bj6TepWLw9FWUVegzr7oc9C0aaHDwAQCaVYMWkMAB/7mapwd0tRERkzxg+bOx8bjHu33gEX/1+HRIJsGh0L2z9+1AE+Jg/PRITHoTNc6KhVNR/L0+uJSIie8ZpFxsRBAFfn7iOF3elQVtpQEdvOd6dEYm7evi36nNjwoMwJkyJ45mFyCvWIsDbvd6WXCIiInvD8GEDpboqLP8uDTuSbwAARvbyxzsPR8K/ndwiny+TSjCsh59FPouIiMjaGD6s7Ey2BrHxKly6WQqpBHhybB/Mu7sHpByZICIiJ8XwYSWCIGDb8Wt4KeE0KqoMUPq4Y/3MKO4+ISIip8fwYQXF2ko8tzMNCalZAIC/9umItdMj4evlJnJlRERE4mP4sLC0G2rExatwuaAMMqkET4/rg3+O7M5pFiIioj8wfFiIIAj4f0ev4NXdZ1ChN6BTew+snxmFQV07iF0aERGRXWH4sAB1eSWW7TiJPadyAACj+wXirYcGor0np1mIiIhux/DRSqnXihC3TYVrheVwlUnw7Ph+eHx4N0gknGYhIiIyhuGjhQRBwCe/XMbqH8+gUi8gxNcDG2dGIyKkvdilERER2TWGjxZQl1Xi6W9S8b/0XADA+HAlXp82EAoPV5ErIyIisn8MH2ZSXb2F+fHJuFFUDjeZFC9M7IdH7uzKaRYiIiITMXyYyGAQ8NGRS3gz8RyqDAK6+Xli46xohHdSiF0aERGRQ2H4MEFhaQWe+joVP53NAwBMigjGqgfC4e3OaRYiIiJzMXw047fLhZgfn4wcjRZuLlK8NKk/Zg4J4TQLERFRCzF8NMJgELD5UAbW7j0PvUFA945e2DQrGv2CfMQujYiIyKExfBiRX6LD4u0pOHwhHwDwQFQnvDolHF5y/riIiIhai3fT2yRlFGDhl8nIK9bB3VWKl+8Px0ODO3OahYiIyEIYPv6gNwjY8NMFrN9/AQYB6BXQDptmR6N3oLfYpREREbUpDB8A8oq1WPRlCn7NKAAAPDioM16e3B+ebvzxEBERWZrT312PXMjHou3JyC+pgKebDK9OCcfU6M5il0VERNRmOW34qNIbsG7fBWw6eBGCAPRVemPjrGj0DGgndmlERERtmlOGjxy1Fgu2JeP45UIAwMwhXbBiUhjcXWUiV0ZERNT2OV34OHAuD09+lYrC0gp4ucmwetpA3B8RLHZZRERETsNpwkel3oC3/ncO7x+6BADoH+yDjbOiEervJXJlREREzsVpwsf+M7m1wWPusK5Ydl8/TrMQERGJwGnCx7j+Ssy5swuG9/DH+AFBYpdDRETktJwmfEgkErw6ZYDYZRARETk9qdgFEBERkXNh+CAiIiKbYvggIiIim2L4ICIiIpti+CAiIiKbYvggIiIim2L4ICIiIpti+CAiIiKbYvggIiIim2L4ICIiIpti+CAiIiKbYvggIiIim2L4ICIiIpuyu1NtBUEAAGg0GpErISIiIlPV3Ldr7uNNsbvwUVxcDAAICQkRuRIiIiIyV3FxMRQKRZPXSARTIooNGQwGZGVlwdvbGxKJROxyrE6j0SAkJATXrl2Dj4+P2OXYPf68TMeflen4szIdf1amc7aflSAIKC4uRnBwMKTSpld12N3Ih1QqRefOncUuw+Z8fHyc4i+npfDnZTr+rEzHn5Xp+LMynTP9rJob8ajBBadERERkUwwfREREZFMMHyKTy+VYsWIF5HK52KU4BP68TMeflen4szIdf1am48+qcXa34JSIiIjaNo58EBERkU0xfBAREZFNMXwQERGRTTF8EBERkU0xfIhs06ZN6NatG9zd3TF06FAcP35c7JLszurVq3HHHXfA29sbAQEBmDJlCs6dOyd2WQ7h9ddfh0QiwaJFi8QuxS7duHEDc+bMgZ+fHzw8PDBgwAD8/vvvYpdll/R6PZYvX47Q0FB4eHigR48eeOWVV0w6x6Ot+/nnnzFp0iQEBwdDIpHgu+++q/e6IAh48cUXERQUBA8PD4wePRoXLlwQp1g7wfAhou3bt2PJkiVYsWIFVCoVIiIiMG7cOOTl5Yldml05dOgQYmNjcfToUezduxeVlZUYO3YsSktLxS7Nrv322294//33MXDgQLFLsUu3bt3C8OHD4erqih9//BHp6el4++230aFDB7FLs0tvvPEGNm/ejI0bN+LMmTN444038Oabb2LDhg1ilya60tJSREREYNOmTUZff/PNN7F+/Xps2bIFx44dg5eXF8aNGwetVmvjSu2IQKIZMmSIEBsbW/tYr9cLwcHBwurVq0Wsyv7l5eUJAIRDhw6JXYrdKi4uFnr16iXs3btXuPvuu4WFCxeKXZLdeeaZZ4QRI0aIXYbDmDBhgvD444/Xe27q1KnC7NmzRarIPgEQdu7cWfvYYDAISqVSWLNmTe1zRUVFglwuF7Zt2yZChfaBIx8iqaiowIkTJzB69Oja56RSKUaPHo2kpCQRK7N/arUaAODr6ytyJfYrNjYWEyZMqPf3i+r7/vvvMXjwYDz00EMICAhAVFQUPvzwQ7HLslt33XUX9u/fj/PnzwMAUlNTceTIEYwfP17kyuxbZmYmcnJy6v27qFAoMHToUKf+XW93B8s5i/z8fOj1egQGBtZ7PjAwEGfPnhWpKvtnMBiwaNEiDB8+HOHh4WKXY5e+/PJLqFQq/Pbbb2KXYtcuXbqEzZs3Y8mSJXjuuefw22+/YcGCBXBzc8PcuXPFLs/uPPvss9BoNOjbty9kMhn0ej1ee+01zJ49W+zS7FpOTg4AGP1dX/OaM2L4IIcSGxuLtLQ0HDlyROxS7NK1a9ewcOFC7N27F+7u7mKXY9cMBgMGDx6MVatWAQCioqKQlpaGLVu2MHwY8dVXX+GLL75AfHw8+vfvj5SUFCxatAjBwcH8eZHZOO0iEn9/f8hkMuTm5tZ7Pjc3F0qlUqSq7FtcXBx2796NAwcOoHPnzmKXY5dOnDiBvLw8REdHw8XFBS4uLjh06BDWr18PFxcX6PV6sUu0G0FBQQgLC6v3XL9+/XD16lWRKrJvTz/9NJ599lnMmDEDAwYMwCOPPILFixdj9erVYpdm12p+n/N3fX0MHyJxc3PDoEGDsH///trnDAYD9u/fj2HDholYmf0RBAFxcXHYuXMnfvrpJ4SGhopdkt269957cerUKaSkpNT+GTx4MGbPno2UlBTIZDKxS7Qbw4cPb7Bl+/z58+jatatIFdm3srIySKX1bxkymQwGg0GkihxDaGgolEplvd/1Go0Gx44dc+rf9Zx2EdGSJUswd+5cDB48GEOGDMG6detQWlqKxx57TOzS7EpsbCzi4+Oxa9cueHt7186TKhQKeHh4iFydffH29m6wFsbLywt+fn5cI3ObxYsX46677sKqVaswffp0HD9+HB988AE++OADsUuzS5MmTcJrr72GLl26oH///khOTsbatWvx+OOPi12a6EpKSnDx4sXax5mZmUhJSYGvry+6dOmCRYsW4dVXX0WvXr0QGhqK5cuXIzg4GFOmTBGvaLGJvd3G2W3YsEHo0qWL4ObmJgwZMkQ4evSo2CXZHQBG/3zyySdil+YQuNW2cQkJCUJ4eLggl8uFvn37Ch988IHYJdktjUYjLFy4UOjSpYvg7u4udO/eXXj++ecFnU4ndmmiO3DggNHfUXPnzhUEoXq77fLly4XAwEBBLpcL9957r3Du3DlxixaZRBDYno6IiIhsh2s+iIiIyKYYPoiIiMimGD6IiIjIphg+iIiIyKYYPoiIiMimGD6IiIjIphg+iIiIyKYYPoiIiMimGD6IiIjIphg+iIiIyKYYPoiIiMimGD6IiIjIpv4/KoBoJh3CjJcAAAAASUVORK5CYII=", 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" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -822,6 +1716,46 @@ "plt.plot(xfit, yfit);" ] }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1.9776566])" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model.coef_" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "-0.903310725531111" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model.intercept_" + ] + }, { "attachments": {}, "cell_type": "markdown", @@ -854,7 +1788,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 37, "metadata": { "deletable": true, "editable": true, @@ -879,7 +1813,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 38, "metadata": { "collapsed": false, "deletable": true, @@ -908,7 +1842,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 39, "metadata": { "collapsed": false, "deletable": true, @@ -924,7 +1858,7 @@ "0.9736842105263158" ] }, - "execution_count": 17, + "execution_count": 39, "metadata": {}, "output_type": "execute_result" } @@ -967,7 +1901,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 40, "metadata": { "deletable": true, "editable": true, @@ -993,7 +1927,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 42, "metadata": { "collapsed": false, "deletable": true, @@ -1005,20 +1939,18 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" + "
" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], "source": [ - "iris['PCA1'] = X_2D[:, 0]\n", - "iris['PCA2'] = X_2D[:, 1]\n", + "iris['PCA1'] = X_2D[:, 0] # add the first principal component to the DataFrame\n", + "iris['PCA2'] = X_2D[:, 1] # add the second principal component to the DataFrame\n", "sns.lmplot(x=\"PCA1\", y=\"PCA2\", hue='species', data=iris, fit_reg=False);" ] }, @@ -1052,7 +1984,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 43, "metadata": { "collapsed": false, "deletable": true, @@ -1082,7 +2014,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 44, "metadata": { "collapsed": false, "deletable": true, @@ -1094,14 +2026,12 @@ "outputs": [ { "data": { - "image/png": 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zjrmXJEmSJElLZmKozm3b3EaxVJ60ViyVHXMvSZIkSZKWzMRQnTuwezulcmJoZJSUsmupnBxzL0lSvTl5FLpfC3dfn11PHq11RJKkNaDnTA/7793Pvo/tY/+9++k501PrkNRgTAzVuT0727nzll20b2jliWKJ9g2t3HnLLvsLSZJUT04ehU++BS48Cq2bs+sn32JySJK0rHrO9HDovkMMFAfY2LKRgeIAh+47ZHJIC2Lz6Qaw2DH3kiRphXzmvdDUAi2Vo94tbTBSWd+xt6ahSZJWr+7ebvK5PIXmAsCla3dvt82qNW9WDEmSJC3VuYchX5i8li/AuUdqE48kaU3oG+yjNdc6aa0110rfYF+NIlIjsmKoxo6d6Ofw8VOcPjvEts1tHNi93eogSZIazaZrs+NjLROGQ5SKsOlZtYtJkrTqdazvYKA4cKlSCGC4PEzH+o4aRqVGY8VQDR070c8dR3rpvzDMpkKe/gvD3HGkl2Mn+msdmiRJWoibboexERgZgpSy69hIti5J0jLp2tVFqVyiOFokpURxtEipXKJrV1etQ1MDMTFUQ4ePnyKfC9pamonIrvlccPj4qVqHJkmSFmLHXrj5LthwDQyfy64332V/IUnSsurc2snBGw+ypbCF8yPn2VLYwsEbD9pfSAviUbIaOn12iE2F/KS1Qj7HmbNDNYpIkiQt2o69JoIkSSuuc2uniSAtiRVDNbRtcxvFUnnSWrFUZuvmthleIUmSJEmSVD1WDK2gqY2mf2D70/joF/oYGhmlkM9RLJUplRMHdm+vdaiSJEmSJGkNsGJohUzXaPqjX+jj9S/poH1DK08US7RvaOXOW3Y5lUySJEmSJK0IK4ZWyMRG0wCj5UT/hWHed+wbvORZm/nN173AhJAkSZIkSVpRVgytkNNnhyjkcwCcL5b49hNFxsYS5bExx9RLkiRJkqSaMDG0QiY2mn5s8EmaCCKCdc05x9RLkiRJ0hrSc6aH/ffuZ9/H9rH/3v30nOmpdUhaw0wMrZADu7dTKieGRkYZKY+RSKQEWzasAxxTL0mSJElrQc+ZHg7dd4iB4gAbWzYyUBzg0H2HVjw5ZHJK40wMrZA9O9u585ZdtG9opSmCpgieuamVDa15wDH1kiRJkrQWdPd2k8/lKTQXiAgKzQXyuTzdvd0rFkO9JKdUH0wMraA9O9v58G0v5/BPvZT2ja3kmoKUsioix9RLkiRJ0urXN9hHa6510lprrpW+wb4Vi6EeklOqHyaGamBi9ZBj6iVJkiRp7ehY38FweXjS2nB5mI71HSsWQz0kp1Q/HFe/wo6d6Ofw8VOcPjvEts1tjqmXJEmSpDWka1cXh+47BGTJmOHyMKVyia5dXSsWQ8f6DgaKAxSaC5fWVjo5pfpR04qhiNgXEV+LiK9HxNumeb4rIgYi4oHK18/VIs5qOXainzuO9NJ/YZhcwBdPn2X/H97PzXcfd1S9JEmr2cmj0P1auPv67HryaK0jkiTVSOfWTg7eeJAthS2cHznPlsIWDt54kM6tnSsWQ9euLkrlEsXRIikliqPFFU9OqX7UrGIoInLA+4C9wBngcxFxJKX0lSm3/llK6RdWPMBlcPj4KfK5YLSc+PYTwzQR5AK++dhF7jjSy51g9ZAkSavNyaPwybdAUwu0boYLj2aPuQt27K11dJKkGujc2rmiiaDpPv8gB+nu7aZvsI+O9R107eqqaUyqnVoeJXsZ8PWU0imAiPgI8DpgamJo1Th9dohNhTzffOIiTQRNTUECymOJfC44fPyUiSFJklabz7w3Swq1VKaPtrTBSGXdxJAkqUZqnZxS/ajlUbIO4PSEx2cqa1P9WEQ8GBEfjYht071RRNwWEfdHxP0DAwPLEWtVbNvcRrFUZqQ8RkS2lhK05Joo5HOcOTtU2wAlicbZU6VlsRxHvs49DPnC5LV8Ac49svT3Vt1zT5Uk1bt6n0r2/wHXpZReCBwFPjTdTSmle1JKN6SUbtiyZcuKBrgQB3Zvp1RO5JqCsZQYS4mUYMuGdRRLZbZubqt1iJLUMHuqVHXjR74uPDr5yNdSk0ObroVScfJaqQibnrW091VDcE+V1paeMz3sv3c/+z62j/337qfnTE+tQ5q3Ro5dS1PLxFAfMLECaGtl7ZKU0uMppScrDz8AvHSFYlsW42Pqr3taG+WUCOAZV64j1xSUyokDu7fXOkRJktauiUe+IrJrU0u2vhQ33Q5jIzAylJUKjwxlj2+6vTpxS5LqQs+ZHg7dd4iB4gAbWzYyUBzg0H2HGiLB0sixa+lqmRj6HPC8iHh2RLQAPwEcmXhDRDxjwsNbgK+uYHzLYs/Odj71S/8/Pvgz38/3PWszYwnaN7Ry5y275tVf6NiJfm6957O84t2f5tZ7Pus0M0mSqmW5jnzt2As33wUbroHhc9n1ZhtPS9Jq093bTT6Xp9BcICIoNBfI5/J093bXOrQ5NXLsWrqaNZ9OKY1GxC8A9wI54A9SSr0RcSdwf0rpCPCLEXELMAp8F+iqVbzLJS3g3vFx9/lcsKmQp//CsNPMJEmqlk3XZsfHWiYc7a7Wka8de00ESdIq1zfYx8aWjZPWWnOt9A32zfCK+tHIsWvpatpjKKX0iZTSjpTSc1JK76ys3VFJCpFSentKaVdK6UUppR9KKZ2oZbzVMp7g6b8wPCnBM1f1z/i4+7aWZiKy6/g0M0mStEQe+ZIkLUHH+g6Gy8OT1obLw3Ssn27GUn1p5Ni1dPXefHpVmi3BM9tRsdNnhyjkc5Pey2lmkiRVyWKOfC3HFDNJ0oqpZsPlrl1dlMoliqNFUkoUR4uUyiW6dnVVL+Bl0sixa+lMDNXATAmef370/KyVROPj7idympkkSVW0Yy90fRze/GB2nSsptBxTzCRJK6LaDZc7t3Zy8MaDbCls4fzIebYUtnDwxoN0bu2scuTV18ixa+lq1mNoLdu2uY3+C8O0tTz1x18slRkpJ66sVBIBtLU089jgML/4kS+ysZBnfUuO88USkCWSiqWy08wkSaqViVPMILuOVNbtJyRJdW9iw2Xg0rW7t3vRCZHOrZ0Nm0xp5Ni1NFYM1cCB3dsplRNDI6OklF1L5URLc9OkSqILwyUeuzDC0EiZTYU8pbFEAlpyTTxRLC1ompkkSaqy5ZpiJklaEX2DfbTmWietVavhcjWPqEnLzYqhGrmiJcepxy4C8Oyr2vi1f/V8Dh8/NamSaODCkxCwLtd0qRcRwKa2Fj755t01i12SJLG8U8wkScuuY30HA8WBS5VCcHnD5Z4zPXT3dtM32EfH+g66dnXNWVUzfkQtn8tPOqJ2kIUdzVrMZ0uLYcXQChufSDZSHuN57evZurnAUGkMuLySaHg06yd09fp1l15vs2lJkuqEU8wkqaHN1XB5sT2IJh5RiwgKzQXyuTzdvd3zjq3a/Y+k2ZgYWmGzTSTbs7OdO2/ZRfuGVp4olriipZmrrmhhYyF/6fU2m5YkqU4sZoqZJKluzNVwebEJnmocUZvus0tjJd7a81aPp6nqPEq2wk6fHWLThEQPTK4C2rOz/VLPoPHqoqGRUZtNS5JUj3bsNREkSQ1stobLfYN9bGzZOGltPgmeahxRm/rZgyODPF58HICt67cu+niaNB0rhlbYQkbOT60gstm0JEnL5ORR6H4t3H19dnXkvCSteR3rOxguD09am5jgmanBdDWOqE397MeKj0FAS65l0cfTpJlYMbRMjp3o5/DxU/xz/wVGRsfI54Id12zkB7Y/jY9+oW/eVUATK4gkSdIyOHkUPvmWbPR85ODM/fCRN8DVO+HVv2FFkCStUV27ujh03yEgqxQaLg9fSvDM1WD6IAdnrAiaeEwMuHTt7u2+dM/Uz36y/CRN0cRVrVddiq9aE9QkE0PLYPwIWKlc5omhEgScH0589tTj/OOpx1nX3MSW9S2MjI6xdXMbB3ZvN/kjSVKtfOa9WVIojcL5PiAgmuG7p7KEEfYNkqS1aLYEz/5798+a3FnqEbWpn92Wb6OtuY0N6zZcumfq8TRpsUwMLYPxBtOPD47S1BSURrOpY6ny/JOjY3zn/JPc/srn8ouv3lG7QCVJEpx7GFo3w3e/AQQ0NWVTxlI5Sxh95r0mhiRpjZopwTNbcmeu/kHz6UE09bPHK5SKo8XLqpekpbLH0DI4fXaIQj7HSHmMCBib8FwEBNAU8IF/+GatQpQkSeM2XQulIpRHICr/r1FKkGuBfAHOPVLb+CRJdWem/kNXNF8xZ/+guXoQTWeuCWrSUlgxtAy2bW6j/8IwLbkmRsfS5CdTlhxqCrg4Up7+DSRJ0sq56fbsyFjkYKyc/UVNgiu2ZAmjTc/K7jt5NKseOvdwlky66XYriSRpjZqp/1A+n5/xiNn4tW+wjyvyV0CC8yPnp60qms5sx9OkpbBiqIqOnejn1ns+yz/3X+DM2SItzcHY1MQQ0NzUxFiCK1pyNYhSkiRNsmMv3HwXXPUcoJxVDW3ogKY8jI1kCaDxBtUXHs2OnV14NHvs9DJJWpNmquC5WLpIa6510r2tuVa+ce4bkyqJSmMlhkaH+JUbf4UP/sgHTfiopqwYqpLxhtMjo2WKI2VGy2OcK46xLhcAlCrnyZqbIJEYS/Bzr3h2DSOWJEmX7NibfV2qCnoENlzzVFVQ92uzfkMtbdn9LW0wgv2HJKke1Kiic7oKno7e6fsHjYyNsDG3cdZJZFKtmBiqksPHTzEyWubxiyM0EeRzTZRTIhH895+5gQfPnOMD//BNLo6UuSKf4+de8WwbT0uSVG/GE0RTjTeonsj+Q5JUe+MVnU0tkys6azRRcsYjZpGftpKo0cfNz9VoW43BxFCVnD47xIXhUZoImpqyKqFcQKk8xuHjp/jwbS83ESRJUqPadG32j43xiiGY3H9oInsRSdLK+cx7L6vo7CmX6f7M2+n78m+teLJiphH33b3d85pE1kjGJ6Xlc/lJjbYPYlPsRmNiqEq2bW7jX54YprmSFIJsoMm6XBNnzg5dWjt2op/Dx09x+uwQ2za3cWD3dvbsbK9FyJIkaS7jSZ6Br8GT56H1abC+0pR6vP/Q1Pvr6DfXkrTqTano7Gka4VBLmXy5VLNkxUxNoqerJGrkcfPdvd0zNto2MdRYbD5dJQd2byfXFJXjY4mxlEgJrmzLs3Vzlr0e70PUf2GYTYU8/ReGueNIL8dO9Nc4ekmSdJmJDac3PAParoLh78L5b2f9h26eJtkz8TfXEdm1qSVblyRV36Zrs2R9RXdumHwao5BrISIoNBfI5/KXpoLVymocN9832Lcqj8etRVYMVcmene28ac9zeN+xb1Aqj7Eu18SVV+TJ53Ic2L0dyPoQ5XNBW0v2x97W0szQyCiHj5+yakiSpHoz9XjCFVsgf0WWFOr6+PSvsReRJK2sm27PkvgjQL5AX4yycQxY/9S/r6qVrFhqP53VNm6+Y/30jbYb+XjcWmXFUBX94qt3cPinXsrLrruKq9av47qr1nPnLbsuJX1Onx2ikJ88or6Qz006aiZJkurEuYezpM5EcyV5pvzmGpi5F5Ekael27M0qODdcA8Pn6Ih1DK9vh9aNl26pRrJivJ/O+Lj58SNqPWd6lvoTNKyuXV2UyiWKo0VSShRHiw1/PK7aIuITEbGp1nHMxYqhKtuzs33G6p9tm9vovzB8qWIIoFgqXzpqBvYgkiRpRcynQfRCGk6Pm/Kb6xl7EUmSqmfCRMmuSgKH0WJVe/nYT+dyMzXaXqt/HtNJKb2m1jHMhxVDK+jA7u2UyomhkVFSyq6lcrp01MweRJIkrYCJvYMmNog+eXTyfTfdniV1RoayiRIjQ3Mneab85nrGXkSSpGWxmF4+PWd62H/vfvZ9bB/7790/bRXQbP105vP61apzaycf/JEP8qkf+xQf/JEPNmRSKCKuiIi/jogvRcRDEfGGiPhWRPyXiPhyRPxTRDy3cu+WiPhYRHyu8vWDlfX1EfH/VO5/MCJ+rLL+rYi4uvL9T1Xe64GIOBwRucpXd+VzvxwRv1STP4OUUi0+d9nccMMN6f777691GDMarwg6c3aIrVMqgm6957OXVRQNjYzSvqGVD9/28lqFLGl1iLlvuVy976nSonS/9vJKoJGh6XsHXaoseiSrFHL0vDLuqdIqMXHk+sQKo6nJpP337r+sn05xtEg+8gyNDs35es1oUftpVQPIkjj7Ukr/ofL4SuBLwH9PKb0zIn4G+PGU0msj4k+B30sp/UNEPAu4N6X0vRHxbmBdSunNlffYnFI6GxHfAm4AtgD/BfjRlFIpIn4P+CzQC7wrpbS38rpNKaVzK/jjA1YMraiJx8SmJoXAHkSSJK2IhfQO2rE3Sxa9+cHsalJIklaViUfEZptiNlM/HYJ5vV517cvA3oh4d0R0ppSeqKx/eML1Byrfvxr43Yh4ADgCbIyI9ZX1942/YUrp7JTPeBXwUuBzlde+CtgOnAK2R8TvRMQ+4Hy1f7j5MDG0QuZzTGzb5jaKpfKk103tQSRJkpbIBtGSpIr5jlyf6YjaxdJFR7Y3uJTSSeAlZAmi/xwRd4w/NfG2yrUJeHlK6cWVr46U0uA8PiaAD0143feklN5RSSC9CDgG/DzwgWr8TAtlYmiFTBxVH5Fd87ng8PFTl+6ZqweRJElagpNHs2Nk/V+FJx6BiwPz7x0kSVqVOtZ3MFwenrQ23RSzmUbVz/f1ql8R8UxgKKX0x8B7yJJEAG+YcP3Hyvd/A/wfE1774sq3R4E3TVjfPOVj/g54fUS0V55/WkRcW+k/1JRS+hjwqxM+e0WZGKo4dqKfW+/5LK9496e59Z7PVr3h82zHxMY/+1f/6iHa8k205Jp4oliifUPrpHH3kiRpkSY2nN7YAa1Pg6HH4cJ3bBAtSWvYfEauzzaq3pHtq8L1wD9Vjnj9OvCfK+ubI+JB4HZgvCn0LwI3VBpMf4WsyofKazZXmkh/CfihiR+QUvoKWeLnbyrveRR4BtABHKt89h8Db1+eH3F282o+HRH5lFJpytrVKaXHli2yRVpMU7/xY175XFDI5yiWypTKqapJmZkaS+ebgqHS2LJ+tiRho1StdQtpOC3NzT1VWkVmqgYaN1Pj6S2FLXzwRz445+s1q5o3n57OeNPoesx5LIfm2Z6MiB8C/ghojYgvALellL5VefpvqFGZU7VNPOYF0NbSzNDIKIePn6pacubA7u3ccaSXoZHRSQmgllzTsn+2JElr3rmHs9H0E83UcFqStCb0nOnh7i/czbee+BYEXLfhummTOn2DfWxs2ThpbWIfoc6tnSaC1NDmOkr2X4AfSSldDdwDHI2I8bnpdZnZW4zlmgY28Xja4eOneP1LOmjf0DrpmNiFJ0edRCZJ0nKz4bQkaYKeMz3c8b/u4BvnvkEiQYJTT5zi1/7h1+g50zPpXvsIrT0ppevWSrUQzJ0Yakkp9QKklD4K/GvgQxHxr5ncobuhLcc0sOmmkH30C30c2L2dnre+kg/f9nL27Gyf87OXu/eRJElrwk23Zw2mR4ZsOC1Joru3mwulC+SacuQiR1M00RRNXBy9OO9R9fYR0moxV2KoFBFPH39QSRK9CngH8LxljGtFLcc0sPlMIZvrs+cz4l6SJM3Djr1Zg+kN18DwORtOS9Ia1zfYR3msTNOEfxIHQTmV5z2q3uNjWi1m7TEEvA24BviX8YWU0pmI2MOEUWyNbs/Odu4kS+acOTvE1s1tHNi9fUk9fk6fHWJTIT9pbbojYrN99q33fNb+Q5IkVcuOvYtPBJ08Cp95b9araNO1WaWRSSVJahhTG0Rfkb+CXFOOMcYuJYcSiVzkpj0iZh8hrWazJoZSSn87w1MbgJHqh1M7e3a2LyrZcuxEP4ePn+L02SG2TUjqbNvcdtkUspmOp8302fNNLkmSpGU0Puq+qSVrYH3h0ewxVhxJUiMYHzefz+UvjZs/P3yedbl1XCxdJEUiCMbSGBvyGzwipjVnrqNkl0TEloj4jxHRAxwjqyRa02Y76lWN42nL0ftIkiQt0GfemyWFWtogIrs2tWTrkqS6193bTT6Xp9BcICIoNBfY2LqRp7c9nedseg5BQMD2K7fzm6/4TSuDtCQR0RURz6x1HAsxa2IoIjZExM9GxL3APwHPAZ6dUnpOSuktKxJhHZutj9Cene3cecuuy6aQLaQqaTl6H0mSpAU693A22n4iR91LUsPoG+yjNdc6aa0118rF0Yu8+SVv5rorr4ME37rwLe7+/N2XTSVTY7nubX+977q3/fXfXfe2vz5Vue5b4RC6gNWTGAL6gX8P/Gdge0rp/2SVHSFbirnG3O/Z2c6Hb3v5pClkC1GN5JIkSVoiR91LUkObadz8Ffkr5j2yXo2hkgR6H/AM4LuV6/uWmhyKiCsi4q8j4ksR8VBEvCEiXhoR/zMiPh8R90bEMyLi9cANwJ9ExAMRUYiIV0XEFyPiyxHxBxGxrvKe74qIr0TEgxFxV2Xtf4uI+yr3/21ErMhJrbkSQ28H1gG/B7w9Ip6z/CE1jpU46rXU5JIkSVoiR91LUkObadw8iXmPrFfD+GXgSWC8Me9Q5fEvL/F99wHfTim9KKX0AuBTwO8Ar08pvRT4A+CdKaWPAvcDP5lSejGQgG7gDSml68n6PL8xIq4C/g2wK6X0QrJiHIB/AF6eUvo+4CPA/7XEuOdl1sRQSunulNLLgddVlv5f4JkR8daI2LHcwdW7hR71Onain1vv+SyvePenufWezzp2XpKk5XTyKHS/Fu6+PruePLq493HUvSQ1tJnGzV8cvTjvkfVqGM/mqaTQuKHK+lJ8GdgbEe+OiE5gG/AC4GhEPAD8KrB1mtd9D/DNlNLJyuMPAbuBJ4Bh4IMR8aMTYt4K3BsRXyZLZu1aYtzzMte4egBSSqeAQ8ChiHgBcCvwCeC5S/nwiNgHvBfIAR9IKb1ryvPrgD8EXgo8TpZl+9ZSPrOaFjLmfrxRdT4XkxpV31l5H0mSVEXVniS2lFH3kqSam27cfEdvB48VH5v3yHo1hG+SHR+bmBxqq6wvWkrpZES8BHgNWXXPp4HelNIPLPL9RiPiZcCrgNcDvwC8kqwK6bdTSkciYg/wjqXEPV9zNZ9+bkT84MS1lNJDwCfJSqkWLSJyZGf/bgaeD9waEc+fctt+4GxK6bnAfwXevZTPXA7zPeo1W6NqSZJUZU4SkyTNoWtXFxvyGyiPlSmnMmNpjLE0xhXNVziyvnG9h6wdznh/l7bK4/cs5U0rU8aGUkp/XHmvG4EtEfEDlefzETFe3XMB2FD5/mvAdRExXlTz08D/jIj1wJUppU8AvwS8qPL8lcB4udrPLiXmhZirx9DdwPlp1p8gS9QsxcuAr6eUTqWURsjOz71uyj2vIyu1Avgo8KqIiCV+bk3M1ahakiRVkZPEJElz6NzayZ0/eOeKjKzvOdPD/nv3s+9j+9h/736bWy+Tb73rX30KeBPwHeBpleubKutLcT3wT5VjY78O3EFW6fPuiPgS8ABwU+XebuD3K/cG8L8Df1E5HjYG/D5Z4ujjEfEgWV+h/1R57Tsq934eeGyJMc/bXEfJrkkpfXnqYkrpyxFx3RI/uwM4PeHxGbKs27T3VEqtngCuYgX/gKpl2+Y2+i8M09by1B95tRtVS5Kkik3XZsfHWib8PeskMUnSFNMdMau2njM9HLrvEPlcno0tGxkoDnDovkMc5OCyf/ZaVEkCLTURNElK6V7g3mme2j3NvR8DPjZh6e+A75ty23fIimWmvvavgL9afKSLM1fF0KZZnivM8tyKiojbIuL+iLh/YGCg1uFMy0bVkhpFI+yp0pwWOkmsWo2qpSncUyV193aTz+UpNBeICArNBfK5vJPPVDfmSgzdHxH/YepiRPwc8PklfnYfWSfvcVt56izdZfdERDPZebvHp75RSumelNINKaUbtmzZssSwlseene3cecsu2je08kSxRPuGVu68Zdesjar7LwxPalRtckjSSmiEPVWa00ImiY03qr7w6ORG1SaHVAXuqdLaMNtRsb7BPlpzrZPub821OvlMdWOuo2RvBv4yIn6SpxJBNwAtwL9Z4md/DnheRDybLAH0E8C/m3LPEbKGS/9Idn7v0ymltMTPrZk9O9vnNYFsYqNqgLaWZoZGRjl8/JQTzCRJmq/5ThKb2KgasutIZd1JZJKkOcx1VKxjfQcDxQEKzU8duhkuDzv5THVj1oqhlNKjKaWbgN8AvlX5+o2U0g+klP5lKR+cUholG8l2L/BV4M9TSr0RcWdE3FK57YPAVRHxdbJmTG9bymc2ChtVS5K0gmxULUlagrmOinXt6qJULlEcLZJSojhapFQuOflMdWPWiqGIaAV+Hngu8GXgg5WETlVURrN9YsraHRO+Hwb+bbU+r1HYqFqSpGmcPJpV8Zx7OGsufdPt1anosVG1JGkJ+gb72NiycdLaxKNinVs7OchBunu76Rvso2N9B127umw8rbox11GyDwEloAe4GfhesuNlWkYHdm/njiO9DI2MUsjnKJbKszaqliRp1RvvA9TUMrkPEDP0DVqIm27P3muErFKoVJy9UbUkaemWK9lfA/M5KrYS08+kxZqr+fTzU0o/lVI6TNbj57JRbMpUc4rYQhpVS5K0JkzsAxSRXZtasvWlWkijaknS0q2ypv8eFdNCVVrovHoRr9sTER+vdjxzVQyVxr9JKY1GRLU/f1UYnyKWz8WkKWJ3wqKTOfNtVC1J0ppw7uHsHw8TTewDtNTfPM+3UbUkaelWWdN/j4rVmXdcuQ/4ZeDZwDeB9/COJz610mFElkCJlNLY1OcmttBZ5hia59MOaK7E0Isi4vz4ewKFyuMAUkpp48wvXTvmmiJ27EQ/h4+f4vTZIbZtbuPA7u0mfSRJWojZ+gAt5zEzSVL1zZXsJ5v01UiJFo+K1YksKfQ+4Engu8AzgPfxjivftNjkUES8CzidUnpf5fE7gEGyvMiPA+uAv0wp/XpEXEc2YOs+4KXAayLiN8imuyfgD1JK/zUiuoGPp5Q+GhHfD7wXuKIS96vIinTeX3ndKPCfUkp/PyWupwF/AGwHhoDbUkoPVuJ7TmX9EeDWuX7GuaaS5VJKGytfG1JKzRO+NylUMdsUsfFqom8+NsjZiyN87lvf5cAff57/9rcnaxStJEkN6Kbbs74/I0OQUnYd7wO0HMfMTh6F7tfC3ddn1wY93iBJdWnTtVlyf6IJTf/Hx78PFAcmjX/vOdNTg2DVYH6ZLLkyPtJ7qPL4l5fwnn9GlgAa9+PAAPA84GXAi4GXRsR4653nAb+XUtoFXA10pJRekFK6Hvh/Jr5xRLRU3v/2lNKLgFcDReBNZMU415Mldj5UGQ420W8AX0wpvRA4CPzhhOeeD7w6pTRnUgjm7jGkedi2uY1iqTxpbXyK2OHjpxgZLfP4xRFGy4nmpmAsJd537BtL6kMkSdKaMlsfoGqPm19lvS8kqe7Mluxn7vHv0iyezVNJoXFDlfVFSSl9EWiPiGdGxIuAs8D1wA8DXwS+AOwkSwgBPJxS+mzl+1PA9oj4nYjYB5yf/O58D/CdlNLnKp91vnL06xXAH1fWTgAPAzumvPYVwB9V7vk0cFVEjBfwHEkpTcm+zmyuo2SaxfgRsZOPnmfwyTJPuyLPVVesmzRF7Ff/6iEuDI/SRNDUlPVoygWUymMcPn4KwGNmkiTNx0x9gKo9bn6V9b6QpLqzYy9wV6U33CPZfj2hN9xs498b7YiZVtw3yY6PTUwOtVXWl+IvyAZyPZ2swuda4P+uDOq6pHKU7OL445TS2Uoy6UeAnyerNvr3S4xlPi7OfctTrBhapPEjYv0XhnnGlQU2t+X57sUS/3J+eNIUsW2b23hydIyJfbtTgnW5Jv65/8Kl95jYtNpKIkmSFmCO3zwvWLUrkCRJl9uxF7o+Dm9+MLtOSLx3rO9guDw86fbh8jBXNF/hETPN5T1kPX/Gf1vUVnn8niW+758BP0GWHPoLsj5C/z4i1gNEREdEXFbhERFXA00ppY8Bvwq8ZMotXwOeUekzRERsiIhmoAf4ycraDuBZlXsnmnjPHuCxlNLUiqR5MTG0SBMbTkcEWza0snVzgee1b+DDt738UtXPgd3byTUF5ZRIJMZSIiW4si3PyOjYpPdoa2kmn4tLlUSSJGkeFjtufqY+QnP0vpAkVU/PmR7237uffR/bx/5799NzpmfG8e8EHjHT7LIG028CvgM8rXJddOPpcSmlXmAD0JdS+k5K6W+APwX+MSK+DHy08vxUHcCxiHiA7GjY26e87wjwBuB3IuJLwFGgFfg9oKny3n8GdKWUnpz605L1NnoQeBfws4v9+SKltNjX1qUbbrgh3X///cv+Oa9496fZVMgTE0qBUko8USzR89ZXAk8dNfty31kuPjlGU8C65iaubMuTz+W4+GSJZ1xZmPU9JKlKYu5bLrdSe6q04iZOMssXssTP2EiWUIKZn/MomTLuqVIVjDeZzufytOZaGS4PUyqXOHjjQYDLjoy98753srFl42X/fjo/cp5P/diKTyNXdSxqP1V12WNokbZtbqP/wvClEfXwVMNpeOqoWT4XXHfVeh4bfJKzQyXa1jVz3VXrObB7O4ePn5r1PSRJ0jKZro/QxYvwP/ZD65WwbmN2LG343GW9LyRJ1TGxyTRAobnAUGmIt/a8lY0tG+lY38Gv3Pgrl3oIdfR2MFAcuHQ/ZEfMOtZ3LDkWexdpLfMo2SId2L2dUjkxNDJKStl1vOE0XH7UbF1zjgi4MDw67/eQJEnLZGofoSfPw2A/jFzMJpGNjkDpIrzmty7rfSFJqo6+wT5ac09N4B4cGeTx4uMUS8VpewjNdMSsa1fXkuIYr1yyd5HWKiuGFmnPznbuJEsAnTk7xNYpE8VOnx1iUyEPwPliiW8/USSA0XLii6fPsv8P72dH+3pe/5IO/vHUd6d9D0mStEymTjIbrAx+aG6FCCeRSdIK6Fg/uQLoseJjENDS1HKphxBwqYdQd283Q6UhSiMlWppaeM6m51Slsme6yqXxdauGtBaYGFqCPTvbZ0ziTDxq9tjgkzQRlNMYCUhj2cj6bz52kY9+oe/SBDNJkjSDk0crY40fzpI6Sz3addPtWR+hEbLKodFhiCa4YstT9ziJTJKWVdeuLg7ddwjIxtE/WX6SpmjiqtarLt3TmmvlG+e+cakX0TVXXHOpF9FCk0IzHRfrG+xjY8vGSfe25lrpG+yb9XXSauFRsmUy8ZjYSHmMRKI8BrmmoKnyVU7JKWSSJM1lvFH0hUezY14XHs0ej08RW4ypk8xaroDC1Vl/oXFOIpOkZdW5tZODNx5kS2EL50fO05Zv42mtT2PDuqeGOw2XhxkZG1nyNLLZjot1rO9guDw86f7x3kXjr3v4/MOcHT7LFx79Ar907Jd4/wPvr9Yfg1RzVgxVyfgEsn/uv3BpDH37hlZSSjRFEEBTEzQ3ZU3XU4KWXBOFfI4zZ4dqG7wkSfVsukbR1TjmtWPvU68fTz6NDE2eRHbT7UsOX5I0s86tnZeqb8aTMMXR4qQpZfnIT+pFBJMreuZjtuNiUyuXJlYkdfd2Uxor8d3h7xIEuchRTmU+8NAHeMHVL7BySKuCFUNVMD6B7FuPD/LEUIliqcz54VHODo0wVBrjTXueQ/vGVvK5YCwlxlIiJdiyYZ1TyCRJmsvURtFQ/WNeUyuINlzjeHpJWmFTK4i2FLZw8MaDPHfzc2es6JmvqY2u4ank0kyfO37M7MLIBYKgKZqICJqjmfJY+VLFUs+ZHvbfu599H9vH/nv327R6DYiIZ0bERxfxuk9ExKY57rkzIl696OAWwYqhKhifQPb44Gh2TCyCsbHE2aESESXed+wbbL/6Cq5uy/OdC0+Sj+DpV64j1xROIZMkrT7V7gc0tVE0LM8xr4kVRJKkmphYQTTRTBU98zW10TVMTi7N9Lkd6zt49OKj5CJ3aW2MMVqaWugb7LtU5ZTP5ScdUTvIQauJauT6D12/D/hl4NnAN4H3fPlnv/ypan5GSunbwOunrkdEc0ppdJqXjL/uNfN47zuWGN6CWTFUBafPDlHI5xgpjxHZSTHGUuLJ0THGxhLlsTFGymM05XLc/srn8X3P2sxYgvYNrTaeliStLsvRD+im27NjXSND2VnskSGPeUnSGjJbRc98LXbUfdeuLnJNOcqUgSwplFJi47qNdKzvmHREbbH9j1Q9laTQ+4BnAN+tXN9XWV+UiHhXRLxpwuN3RMRbIuKhyuOuiDgSEZ8G/i4i2iLizyPiKxHxlxFxX0TcULn3WxFxdURcFxFfjYj/HhG9EfE3EVGo3NMdEa+vfP/9EfGZiPhSRPxTRGyovLYnIr5Q+bppsT/bOCuGqmB8AllLronRsUQE2RWICNblmmhraWZoZJR/PPVdPnzby2sdsiRJy6Oa/YAmVh61bMjGyA+fyyqFllqFJElqKDNV9Czk9Qc5uODpYp1bO9n/gv184KEPUBor0dLUwsbWjeSb8nTt6uKd971z1olmWnG/DDwJjDfyHZqwvtiqoT8D7iZLOAH8OHAA6Jpwz0uAF6aUvhsRbwHOppSeHxEvAB6Y4X2fB9yaUvoPEfHnwI8Bfzz+ZES0VD77DSmlz0XERqAI9AN7U0rDEfE84MPADYv82QATQ1VxYPd27jjSy8ZCM49dGGEsEolsJP14LyHARtOSpNXv3MNZpdBEi+kHNF551NSSvd94M+jX/JYJIUlag6oxMn6xyaU3vviNvODqF0z7+R29sx9R04p7Nlml0ERDlfVFSSl9MSLaI+KZwBbgLHB6ym1HU0rjn/sK4L2V1z4UEQ/O8NbfTCk9UPn+88B1U57/HuA7KaXPVd7rPEBEXAH8bkS8GCgDOxb5o11iYqgK9uxs506yXkOlcjaVLKVRmpuaePqVrWxozQPYaFqStPpVqx/QTJVHf/vr1e1fJEmqe/XQx2empNJsE81UE98kOz42sSKjrbK+FH9B1lPo6WRVPFNdXMR7Pjnh+zJQmOnGKX4JeBR4EVl7oOHZb5+bPYaqZM/Odj5828u5/1f38uA7foQP/Mz3076xlVxTkFJiaGTURtOSpNWvWv2ApptEVi7BYyeq279IklT36rmPTzX6H6mq3gOsI0sGUbmuq6wvxZ8BP0GWHPqLOe79X2THzYiI5wPXL/IzvwY8IyK+v/JeGyKiGbiSrJJoDPhpIDfLe8yLFUPLZGIV0ZmzQ2zd3MaB3dttNC1JWt127AXuqlT1PDL/fkBTJ5mt25hVGk2sPBr8l+r1L5IkNYy+wb667uOz1P5Hqp4v/+yXP3X9h65/E1WeSpZS6o2IDUBfSuk7EXHdLLf/HvChiPgKcALoBZ5YxGeORMQbgN+pNKYuAq+uvP/HIuJnyPomLaZaaRITQ8vk2Il+Dh8/xemzQ2wzKSRJWksWOvZ9aj+hC49mTaapjPrMF57qMXTllCNpi+lfJElqKHONmpcmqiSBqjqeHiCldP2E778FvKDyfTfQPeHWYeCnKs2hnwP8LfBw5d7rKvc8Nv76yvpdE77vmvD954Cp06v+GXjhhMdvXdQPNIGJoWVw7EQ/dxzpJZ8LNhXy9F8Y5o4jvdwJJockSZpqun5CpYtQPAtPnoMEXP082PK9MDoy+bWL6V8kSap/EypJuzZt4VDrGLTax0cNoQ34+4jIk/2W6z+mlEbmeE1NmRhagPlWAR0+fop8Lmhryf54x0fVHz5+ysSQJElTTZ1k9uR5GOwHErTvypI/I4Pwon8HX/rT7PjYxCqihfYvkiTVtymVpJ0XLnDw4jDdz9xM38j5RU8lk1ZCSukCSxwfv9JMDM3TQqqATp8dYlMhP2nNUfWSJM1g6iSzwf7s2twKETBWyp7v+a2sciil7KjZfPoXTe1d5BQzSap/01SSdo5A5xMl6Kr6CSFpzXMq2TxNrAKKyK75XHD4+KnL7t22uY1iqTxpzVH1kiTNYOoks9HhLCF0xRYYfgLO90Eay75GR7JjZq/5Lej6+NxJoU++xSlmktRopptMaU85admYGJqn02eHKOQnT4GbqQrowO7tlMrZiHpH1UuSVq2TR6H7tXD39dl1sQmXHXvh5rtgwzVZJVDLFVC4GlqvhIsDXGpC3bwu++1xU0v22+S5TPyNc8Tlr61W/JKk6tp0bXZceKIZesr1nOlh/7372fexfey/dz89Z3pWKEhp9TAxNE8LqQLas7OdO2/ZRfuGVp4olmjf0Mqdt+yyv5AkafWodjXOjr1ZBdCbH4Qf/SDkW7IKotEnsyoiEqyv/D06398az/YbZ6uJJKl+Ta0kHRmatqdcz5keDt13iIHiABtbNjJQHODQfYdMDkkLZGJonhZaBbRnZzsfvu3l9Lz1lXz4tpebFJIkrS5zVeMsxcQKoqYmaMrBlVth3cbs+flOIpvtN87LGb8kaWmmVpJuuCZ7POX4cHdvN/lcnkJzgYig0Fwgn8vT3dtdk7ClRmXz6Xnas7OdO8l6DZ05O8TWWaaSSZK06k2dJAbL0/+hZUM2kWz0SWhJC5tEdtPtWRXQdFPMPvGfViZ+SdLi7Ng757CAvsE+NrZsnLTWmmulb7BvOSOTVh0TQwuwZ2e7iSBJkuDySWIw/0qeuUwcU7yxAwYHYOhxKJdgy/fMf7LYjr3AXZWpZI9MnmL2mWWMX5K0IjrWdzBQHKDQ/NSx4eHyMB3rO2oYldR4PEomSZIWbp79HxZl6jGvDe1w5bOypNBck8gmmjSqfspo++WMX5JUXTMMC+ja1UWpXKI4WiSlRHG0SKlcomtXV23jlRqMiSFJkrRw8+z/sCjVGFM8V3Pp5YxfklQ9s+znnVs7OXjjQbYUtnB+5DxbCls4eONBOrd21jpqqaF4lEySJC3OPPo/LEo1jqlNrDqC7DpSWR+PebnilyRVzxz7eefWThNB0hJZMSRJkupLNY55VaPqSJJUe+7n0rIzMSRJkupLNY55zTaqXpLUONzPpWXnUTJJklR/lnrMa7ZR9ZKkxuF+Li07K4YkSdLqMj6NbGQILj4K579tc2lJalQOC5CWnRVDC3TsRD+Hj5/i9Nkhtm1u48Du7ezZ2V7rsCRJEjw1vaapBTY8Y/Jvlv1HhCQ1JocFSMuqJhVDEfG0iDgaEf9cuW6e4b5yRDxQ+Tqy0nFOdexEP3cc6aX/wjCbCnn6Lwxzx5Fejp3or3VokiQJJk+viciuTS3ZuiRpzeo508P+e/ez72P72H/vfnrO9NQ6JKlu1Ooo2duAv0spPQ/4u8rj6RRTSi+ufN2yXMEcO9HPrfd8lle8+9Pces9nZ0z0HD5+inwuaGtpJiK75nPB4eOnlis0SZI07uRR6H4t3H19dj159PJ7nF4jSZqi50wPh+47xEBxgI0tGxkoDnDovkMmh6SKWiWGXgd8qPL9h4B/XaM4FlQFdPrsEIV8btJaIZ/jzNmhlQpXkqS1afyI2IVHoXVzdv3kWy5PDjm9RpI0RXdvN/lcnkJzgYig0Fwgn8vT3dtd69CkulCrxNA1KaXvVL7/F+CaGe5rjYj7I+KzEfGvZ3qziLitct/9AwMDCwpkIVVA2za3USyVJ60VS2W2bm5b0GdKUj1byp4qLZv5HhG76fasp9DIEKSUXZ1eoxpyT5Vqr2+wj9Zc66S11lwrfYN9NYpIqi/LlhiKiL+NiIem+XrdxPtSSglIM7zNtSmlG4B/B9wdEc+Z7qaU0j0ppRtSSjds2bJlQXEupArowO7tlMqJoZFRUsqupXLiwO7tC/pMSapnS9lTpWUz3yNiTq9RnXFP1Zo2nyPAVTJbD6GO9R0Ml4cn3T9cHqZjfceyxSM1kmWbSpZSevVMz0XEoxHxjJTSdyLiGcC0TX1SSn2V66mIOAZ8H/CNasa5bXMb/ReGaWt56o9ipiqgPTvbuZOsyujM2SG2OpVMkqTlNT56fvBRGByAjc+AdRuz52Y6Iub0GkmqvYlTIiceAab6yfrxHkL5XH5SD6GDHKRzayddu7o4dN8hIKsUGi4PUyqX6NrVVdU4pEZVq6NkR4CfrXz/s8BfTb0hIjZHxLrK91cDPwh8pdqBLLQKaM/Odj5828vpeesr+fBtLzcpJEnScpnYV2j9M2GslFUIDT/hETFJqncrOCVyrh5CnVs7OXjjQbYUtnB+5DxbCls4eGOWNJK0jBVDc3gX8OcRsR94GPhxgIi4Afj5lNLPAd8LHI6IMbIE1rtSSlVPDFkFJElSnZr4jwqAAC78C5z/Nmx7WZYUsjJIkurTuYezSqGJlmlKZN9gHxtbNk5am9pDqHNrp4kgaQY1SQyllB4HXjXN+v3Az1W+/wxw/UrEs2dn+6ITQcdO9HP4+ClOnx1im0klSZKqZ+o/KlqvzI6RDZ+Dro/XLCxJ0jxsujar+GyZ0KJjiVMi3//A+/mjr/4RQ6Uh2vJt/PT3/jRvfPEb6VjfwUBxgELzU73o7CEkzV+tjpKtCgsZdS9JkiaYT0NSR89LUuOq8pTI9z/wfg4/eJjiaJHmaKY4WuTwg4d5/wPvp2tXF6VyieJokZQSxdGiPYSkBTAxtAQLGXUvSZIqJvYOmtiQdGpyyNHzktS4qjwl8o+++kdEBM3RPOn6R1/9I3sISUtUqx5Dq8Lps0NsKuQnrc006l6SJFVM7R3U0gYjlfWJ/2DYsRe4K1s/90hWKWRfIUlqHAuYEtlzpofu3m76BvvoWN9B166uSYmdodIQzTH5n685cgyVsn972UNIWjwTQ0uwkFH3kiSpYiENSR09L0mr3lzj5gHa8m3ZMbIJ/4QtU6Yt77+9pKXyKNkSLHTUvSRJwt5BkqRJ5ho3D/DT3/vTpJQYTaOTrj/9vT9du8ClVcLE0BLs2dnOnbfson1DK08US7RvaOXOW3Y5lUySpNnYO0iSNEHfYB+tudZJa1PHzb/xxW/kwAsPUGguMJpGKTQXOPDCA7zxxW9c6XClVcejZEu0lFH3kiStSfYOkiRNMN9x82988RtNBEnLwMSQJElaefYOkiRVdO3q4tB9h4CsUmi4POy4eWkFeZRMkiQ1rpNHofu1cPf12XXqyHtJUt1z3LxUW1YMSZKk6jl5tHJE7OGsyfRCjogt9LUnj8In3wJNLdmUswuPZo+5y2okSWowjpuXaseKIUmSVB3jiZoLj05O1Mynimcxr/3Me7OkUEsbRGTXppZsXZIkSfNiYkiSJFXHUhI1i3ntuYchX5i8li9kDa0lSZI0Lx4lkyRJ1XHu4azaZ6J8AQa+lvX/me2I2EyvnS3Js+narLKope2ptVIxm3ImSZKkebFiSJIkVcema7PEzERDj8GT5+c+Ijbda+dK8tx0O4yNwMgQpJRdx0aydUmSJM2LiSFJklQd0yVqhh6H1qc9dUQsjWbJoT//yclTxBaT5NmxF26+CzZcA8PnsuvNNp6WJElaCI+SSZKk6tixF7irMlnskazap/hdWL8le/7J8/DEGUgAaZopYlNeO5+JZjv2mgiSJElaAhNDkiSpeqYmarpf+1QfoMF+ICCAXKXR9AhZMmj8dSZ5JEmSVpSJIUmSVqOTRyvVN7M0fF4JN92eVQWNAKNPQjQBCa6oVBE5RUySNI2eMz1093bTN9hHx/oOunZ10bm1s9ZhSauSPYYkSVptTh7NkjFzNXxeCRP7AEVT9rWxA1qvzJ53ipgkaYqeMz0cuu8QA8UBNrZsZKA4wKH7DtFzpqfWoUmrkokhSZJWm8+8F5panmr43NKWPf7Me2sTz4690PVxeMOfZAmiprxTxCRJM+ru7Safy1NoLnCxdJFHLz7Kdy5+h7f2vNXkkLQMTAxJkrTanHs4O6I1UT0c2XKKmCRpHvoG+2jNtTI4Msh3Ln6H0TRKczRTLBWtHJKWgT2GJElabTZd+1TD53H1cmTLBtOSpDl0rO9goDjAY8XHiAiaaGKMMVpyLeRzebp7u+03JFWRFUOSJK02N92eHdEaGfLIliSp4XTt6qJULvFk+UkiBWNpjETiqtaraM210jfYV+sQpVXFxJAkSauNR7YkSQ2sc2snB288SFu+jXIq09zUzNPbns6GdRsYLg/Tsb6j1iFKq4pHySRJWo0a9cjWyaNZk+xzD2dH4m66vTF/DknSknRu7eTdne/m0H2HyOfytOZaKY4WKZVLdO3qqnV40qpixZAkSaoPJ4/CJ9+S9Udq3ZxdP/mWbF2StOaMVw5tKWzh/Mh5thS2cPDGg/YXkqrMiiFJklQfPvNeaGp5qml2SxuMVNatGpKkNalza6eJIGmZWTEkSZLqw7mHIV+YvJYvwLlHahOPJEnSGmBiSJIk1YdN10KpOHmtVIRNz6pNPJIkSWuAiSFJklQfbrodxkZgZAhSyq5jI9m6JEmSloWJIUmSVB927IWb74IN18Dwuex68132F5IkSVpGNp+WJEn1Y8deE0GSJEkryIohSZIkSZKkNcrEkCRJkiRJ0hplYkiSJEmSJGmNMjEkSZIkSZK0Rtl8ugqOnejn8PFTnD47xLbNbRzYvZ09O9trHZYkSZIkSdKsrBhaomMn+rnjSC/9F4bZVMjTf2GYO470cuxEf61DkyRJkiRJmpWJoSU6fPwU+VzQ1tJMRHbN54LDx0/VOjRJkiRJkqRZmRhaotNnhyjkc5PWCvkcZ84O1SgiSZIkSZKk+TExtETbNrdRLJUnrRVLZbZubqtRRJIkSZIkSfNTk8RQRPzbiOiNiLGIuGGW+/ZFxNci4usR8baVjHG+DuzeTqmcGBoZJaXsWionDuzeXuvQJEmSJEmSZlWriqGHgB8Fjs90Q0TkgPcBNwPPB26NiOevTHjzt2dnO3fesov2Da08USzRvqGVO2/Z5VQySVL9OnkUul8Ld1+fXU8erXVEkiRJqpGajKtPKX0VICJmu+1lwNdTSqcq934EeB3wlWUPcIH27Gw3ESRJagwnj8In3wJNLUAOztwPH3kDbPleeNU7YMfeWkcoSZKkFVTPPYY6gNMTHp+prEmSpMX6zHuzpNBYCS70QRoDcvD4N7KEkdVDkiRJa8qyJYYi4m8j4qFpvl63DJ91W0TcHxH3DwwMVPvtJWlNcU9d5c49DPkCXBwAApqaoCkHqZwljD7z3lpHKK0q7qmSpHq3bEfJUkqvXuJb9AHbJjzeWlmb7rPuAe4BuOGGG9ISP1eS1jT31FVu07Vw4VEoj0BUfj+UxiDXkiWMzj1S2/ikVcY9VZJU7+r5KNnngOdFxLMjogX4CeBIjWOSJKmx3XQ7jI1A5CAlGBsDEqxvh1IRNj2r1hFKkiRpBdVqXP2/iYgzwA8Afx0R91bWnxkRnwBIKY0CvwDcC3wV+POUUm8t4pUkadXYsRduvgueth3SaFY1tLEDojlLGN10e60jlCRJ0gqq1VSyvwT+cpr1bwOvmfD4E8AnVjA0SZJWvx17s6+TR7OeQucegQ3XZEkhp5JJkiStKTVJDEmSpDowniCSJEnSmlXPPYYkSZIkSZK0jEwMSZIkSZIkrVEmhiRJkiRJktYoE0OSJEmSJElrlIkhSZIkSZKkNcrEkCRJkiRJ0hplYkiSJEmSJGmNMjEkSZIkSZK0RpkYkiRJkiRJWqNMDEmSJEmSJK1RzbUOQJIkSZJUP3rO9NDd203fYB8d6zvo2tVF59bOWoclaZlYMSRJkiRJArKk0KH7DjFQHGBjy0YGigMcuu8QPWd6ah2apGViYkiSJEmSBEB3bzf5XJ5Cc4GIoNBcIJ/L093bXevQJC0TE0OSJEmSJAD6BvtozbVOWmvNtdI32FejiCQtNxNDkiRJkiQAOtZ3MFwenrQ2XB6mY31HjSKStNxMDEmSJEmSAOja1UWpXKI4WiSlRHG0SKlcomtXV61Dk7RMTAxJkiRJkgDo3NrJwRsPsqWwhfMj59lS2MLBGw86lUxaxRxXL0mSpnfyKHzmvXDuYdh0Ldx0O+zYW+uoJEnLrHNrp4kgaQ2xYkiSJF3u5FH45FvgwqPQujm7fvIt2bokSZJWDRNDkiTpcp95LzS1QEsbRGTXppZsXZIkSauGiSFJknS5cw9DvjB5LV+Ac4/UJh5JkiQtCxNDkiTpcpuuhVJx8lqpCJueVZt4JEmStCxMDEmSpMvddDuMjcDIEKSUXcdGsnVJkiStGiaGJEnS5XbshZvvgg3XwPC57HrzXU4lkyRJWmUcVy9Jkqa3Y6+JIEmSpFXOiiFJkiRJkqQ1ysSQJEmSJEnSGmViSJIkSZIkaY0yMSRJkiRJkrRGmRiSJEmSJElao0wMSZIkSZIkrVEmhiRJkiRJktYoE0OSJEmSJElrlIkhSZIkSZKkNSpSSrWOoaoiYgB4eJk/5mrgsWX+jGowzuprlFiNs7oaJU6YOdbHUkr7FvpmK7CnroY/23pjnNXXKLEaZ3XNFqd76tI0SpzQOLEaZ/U1SqyNHuei9lNV16pLDK2EiLg/pXRDreOYi3FWX6PEapzV1ShxQmPFCo0Vb6PEapzV1yixGmd1NUqcEzVKzI0SJzROrMZZfY0Sq3GqGjxKJkmSJEmStEaZGJIkSZIkSVqjTAwtzj21DmCejLP6GiVW46yuRokTGitWaKx4GyVW46y+RonVOKurUeKcqFFibpQ4oXFiNc7qa5RYjVNLZo8hSZIkSZKkNcqKIUmSJEmSpDXKxJAkSZIkSdIaZWJokSLiNyPiwYh4ICL+JiKeWeuYphMR74mIE5VY/zIiNtU6pulExL+NiN6IGIuIuhtjGBH7IuJrEfH1iHhbreOZSUT8QUT0R8RDtY5lNhGxLSL+PiK+Uvnf/fZaxzSdiGiNiH+KiC9V4vyNWsc0m4jIRcQXI+LjtY5lIdxPq889tToaYU9tlP0U3FNXintqddX7fgqNsac2wn4KjbOnup+q2kwMLd57UkovTCm9GPg4cEeN45nJUeAFKaUXAieBt9c4npk8BPwocLzWgUwVETngfcDNwPOBWyPi+bWNakbdwL5aBzEPo8D/mVJ6PvBy4E11+mf6JPDKlNKLgBcD+yLi5bUNaVa3A1+tdRCL4H5afe6p1dFN/e+pjbKfgnvqSnFPra663U+hofbUbup/P4XG2VPdT1VVJoYWKaV0fsLDK4C67OKdUvqblNJo5eFnga21jGcmKaWvppS+Vus4ZvAy4OsppVMppRHgI8DrahzTtFJKx4Hv1jqOuaSUvpNS+kLl+wtkf1F01Daqy6XMYOVhvvJVl/+tR8RW4F8BH6h1LAvlflp97qnV0Qh7aqPsp+CeulLcU6urzvdTaJA9tRH2U2icPdX9VNVmYmgJIuKdEXEa+Enq97cxE/174JO1DqIBdQCnJzw+Qx3+BdGoIuI64PuA+2ocyrQqpa8PAP3A0ZRSXcYJ3A38X8BYjeNYFPfTNcU9dZnU+34K7qkrxT11TXFPXSb1vqe6n6qaTAzNIiL+NiIemubrdQAppV9JKW0D/gT4hXqNs3LPr5CVRv5JPceptSUi1gMfA9485TecdSOlVK6U428FXhYRL6hxSJeJiNcC/Smlz9c6lpm4n1afe6omaoT9FNxTq8U9deXj1NrSCHuq+6mqqbnWAdSzlNKr53nrnwCfAH59GcOZ0VxxRkQX8FrgVSmlmpUYLuDPs970AdsmPN5aWdMSRESe7C/cP0kp/Y9axzOXlNK5iPh7svPx9dY48QeBWyLiNUArsDEi/jil9FM1jusS99Pqc0/VuEbbT8E9dancU6urgfdTcE+tukbbU91PVQ1WDC1SRDxvwsPXASdqFctsImIfWeneLSmloVrH06A+BzwvIp4dES3ATwBHahxTQ4uIAD4IfDWl9Nu1jmcmEbElKlNSIqIA7KUO/1tPKb09pbQ1pXQd2f99frqR/sJ1P11z3FOrqFH2U3BPXSnuqWuOe2oVNcqe6n6qajMxtHjvqpSYPgj8MFmn9Xr0u8AG4GhkY0t/v9YBTSci/k1EnAF+APjriLi31jGNqzRG/AXgXrIGdH+eUuqtbVTTi4gPA/8IfE9EnImI/bWOaQY/CPw08MrK/10+UPlNQr15BvD3lf/OP0d2ftsxm9Xnflpl7qnV0SB7aqPsp+CeulLcU6uonvdTaJw9tUH2U2icPdX9VFUVNa6ElyRJkiRJUo1YMSRJkiRJkrRGmRiSJEmSJElao0wMSZIkSZIkrVEmhiRJkiRJktYoE0OSJEmSJElrlIkhaQEiolwZW/lQRPxFRLRV1p8eER+JiG9ExOcj4hMRsWPC694cEcMRceWEtasi4u8jYjAifrcWP48k1Yr7qSRVj3uqpKUwMSQtTDGl9OKU0guAEeDnIyKAvwSOpZSek1J6KfB24JoJr7sV+BzwoxPWhoFfA96yMqFLUl1xP5Wk6nFPlbRoJoakxesBngv8EFBKKf3++BMppS+llHoAIuI5wHrgV8n+8h2/52JK6R/I/vKVpLXM/VSSqsc9VdKCmBiSFiEimoGbgS8DLwA+P8vtPwF8hOwv6e+JiGtmuVeS1hT3U0mqHvdUSYthYkhamEJEPADcDzwCfHAer7kV+EhKaQz4GPBvly88SWoY7qeSVD3uqZIWrbnWAUgNpphSevHEhYjoBV4/3c0RcT3wPOBodsybFuCbgI38JK117qeSVD3uqZIWzYohaek+DayLiNvGFyLihRHRSfabmHeklK6rfD0TeGZEXFurYCWpjrmfSlL1uKdKmpdIKdU6BqlhRMRgSmn9NOvPBO4GXkrWqO9bwJuBe4HXpJROTLj3t4FHU0rvjohvARvJfktzDvjhlNJXlvWHkKQ64H4qSdXjnippKUwMSZIkSZIkrVEeJZMkSZIkSVqjTAxJkiRJkiStUSaGJEmSJEmS1igTQ5IkSZIkSWuUiSFJkiRJkqQ1ysSQJEmSJEnSGmViSJIkSZIkaY36/wMXkUSdBmKHVQAAAABJRU5ErkJggg==", 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" + "
" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -1158,7 +2088,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 45, "metadata": { "collapsed": false, "deletable": true, @@ -1174,7 +2104,7 @@ "(1797, 8, 8)" ] }, - "execution_count": 22, + "execution_count": 45, "metadata": {}, "output_type": "execute_result" } @@ -1198,7 +2128,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 46, "metadata": { "collapsed": false, "deletable": true, @@ -1210,9 +2140,9 @@ "outputs": [ { "data": { - "image/png": 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RI0YoMd2x19WsmwfsumxpadHSwo4jKipKid3K48xgY8rGnmlm+aw7TnY0s8ITvXv3VmLsuoyLi1NimZmZSoxhRzPTwnKDfRbTrAvT3ImlxTM7O5u2G/sm7GJmVW50K4Xoto9xuVzKxrOuZl3YyWEXAavwwl5nRzOrErRq1SolxsbPTsUTXc3sIl29erUSY3nA9LGKMawqDase4nRusHxmx6abBwxdzbp5wK5L1sKOsXXrViXGroVbeZwZbEyZPhabNUt9fItdCww7mnWvGd35mR0bw45m3bZnrOKYnepYTHMncttWEARBECwii6cgCIIgWEQWT0EQBEGwiO2uKgx2T53ty6xYsUKJsXvbLNbd3SoArvn0afUWOIuxvRCnOyuw7hfsO9j4OdUJwR9sz5N1OGBa2PixriDseJ3omNCVFjamumYPp3OjokItb7d3714lxrpksGuQ7RE5abqzAssXNlbB6FrCunjodoJh+tixBQOmhR2bnbnE6Xxhvg027+ru0zqB/PIUBEEQBIvI4ikIgiAIFpHFUxAEQRAsIounIAiCIFjEtmGIbY4zow0zt7CHXJmZgm1mB4PS0lKt102cOFGJBcNgwb6DmRBYcYFgGIbYRj07l7oPQDPDCzs2p9E1NDFTAztHdgqBMJhBio0zex07tmCYbxhMMzM+sQIQwYAZVHTHXtdYFAzYNcMKHegWhAnGXKc7zuvXr1dibC5xQrP88hQEQRAEi8jiKQiCIAgWkcVTEARBECwii6cgCIIgWMS2YUjXXKBbESgYZgVm9mDGCWYQMAUzF7BNdDZ+powJuuiaZZhBwGmzAjNOMBMCM60wLZcuXVJiTldAYuhWwmJaTOWLrjEwGCYxxpw5c5RYVlaWEmOGSZbj7DjY2Dud4+yc65o8dbu+OA2bn5k5ko0Ve68dg14n8stTEARBECwii6cgCIIgWEQWT0EQBEGwiCyegiAIgmAR24YhU9V/7MA25VmMmQF0TRdOwzbCWeUMhqmWabowk45uNRwnNv5vRNcsw4wT7DgYo0aN0hekgZ2WUCUlJY5qsQPLScagQYOU2MiRI5VYWVmZEmOmHzvYOZfMiKbbxs8OzKjExo+ZPE3NEXZaurHj1a3A5Q/55SkIgiAIFpHFUxAEQRAsIounIAiCIFhEFk9BEARBsIhtw5DuJiurtKLbfkzXGKML08w2n1nVDbb5bMc8YgdmCmFaWCsvUxv/DHYcuhv67Lyxll+66LbJY0YlluPMdOa0aYWdS2b2YPnMcMJMEQi617luq0D2Ojtjz/JgxYoVSozlJDMCsXNkqnqSbitDp81LwYCZ4liuWTUfyi9PQRAEQbCILJ6CIAiCYBFZPAVBEATBIrJ4CoIgCIJFuqUl2cSJE5UYa+H0hz/8QevzgmFWYDCjDcOU+YZVlikvL1di7DjYe3WNJ7owg8XevXuVWENDgxJjhitmyHG6fRYbA2bCYseWlJSkxOyYl3TRHWfWYopVljF1vemaVhi614KdfGG5wYwn7Jph58hpIySDfS8z6LHXhVIrQ11zKaO6ulqJMfOc1eMNePHcfmI7SreXwtvhxdLCpXh+/POBflTQeGzLY9j2+TakxqSi8nuVpuVoUXOpBo+8/QjOXz0Pl8uFZYXLUHqnntvQFK3trZhQMQHNnmZ4O7yYnTsbPxz3Q9OyusTb4cWYdWOQHpeObYu2mZajRfbqbERHRsPtciMyIhK7F+42LalLGlsbsXTrUlTWVcLlcuHXs3+NcZnjTMu6KVUXq/DgWw9e//fJhpN4YfILWH7ncnOiNFj151V47cBrgAsY1ncYXpn6CnpF9jItyy/ln5Rj3aF18MGHxwsfD+kxDmjx9HZ48dS7T2HHd3cgIz4DY9eNxey82RiWMsxpfY7yaMGj+P63vo9H/vCIaSnaREZEYuW0lShMK8SVa1cw+rXRmDp4akiPdU93T+wq3oX25na0edsw480ZmJI9BWPTxpqW5pfyv5QjPzkfl69dNi3FEn+c/0f07d3XtAxtSreXYnrudLz1wFvweD1obms2Lckvecl5OPLkEQBfz33pv0jH3KFzzYrqgtrLtXh5/8v4ePHH6B3ZGyXvlmDz55uxaNgi09JuSmVdJdYdWof9j+9HlDsK0zdMx6whs5DbJ9e0NEpAe577a/cjt08ucpJyEOWOwkO3P4Qtf9d7hswkE7ImoE/vPqZlWCItLg2FaYUAgLiecchPyUft5VrDqvzjcrkQGxULAGjraENbRxtcLpdhVf45e/ks3jn+DpYWLjUt5ZbmUuslfHD6AywZtQQAEOWOQmKvRLOiLLCzeicG9xmMrET1+d1Qo72jHa3trWjvaEdzWzP6x/Q3Lckvxy4cQ1F6EaJ7RCMyIhITsyZi87HNpmXdlIAWz9ortciMz7z+74z4DNReCe0J/VbgVOMpHD53GEUZRaaldIm3w4tv/8e3MWTdEEwaOAlj+o8xLckvy7cvx8+m/AwRrvDy0LlcLsz7wzxM2jgJv/n0N6bldEl1YzVSolNQsqUEo9aOwtKtS9HkaTItS5tNlZuwcPhC0zK6JD0+Hc+OexYjfj0CQ381FPE943F31t2mZflleOpw7DuzD/XN9Whua8a7J95FzaUa07Juim3DEINVamAb+mzDl5kzTMGME8xgcfToUSXmdMuvq56rmP/GfKyevhrxPeMBcGMC2/Rmx8HOEdMXqOHFHeHGH+/7Iy57LuOJ3U/gL9V/QV5SHjWO6cKqw9gxNHXSuQ8+esBo7Dm1R+s9LJ+ZMcsJff74sORDHD90HA2eBjz7l2fhqndhZOJIag5ihiunW7p1RXtHOw6dO4Q1M9agKKMIpe+V4qUPX8KP7/6xdhs6ZrRh5iCWL7qt2hgerwdbq7bixXte9Ps6du0Hwzh2Iw0tDdhStQXVpdVI7JWI+9+8H9vObMPDdzysrY+NaXeSn5KP5+56DtM2TENMjxgU9CuAO8INgK8LTz/9tNbnsjmb5YbV+TmgP7PT49JRc/l//iI4e/ks0uPSA/koQYM2bxvmvzEfi0csxrz8eablWCI+Kh7j+o/D3lrV/RkqfHTmI2yt2ors1dl46K2HsKt6Fx7e/LBpWVqkx3993SVFJeHbyd/G36/83bAi/2TEZyAjPuP63ZMFwxbg0FeHDKvS473j76EwrRD9YvuZltIl7598H4MSByElJgU93D0wL38ePq752LSsLllSuAQHlx3EByUfIKl3Eob0HWJa0k0JaPEcmz4Wx+uPo7qhGh6vB5v+tgmz82Y7rU0A4PP5sGTrEuQn5+OZcc+YlqPFhaYLaGxtBPC183bfl/swOGGwWVF+eHHKizj7zFmcWn4KmxZswt2D7saGeRtMy+qSJk8Trly7AgBo8bbgQMMBDIpRG0WHEv1j+yMzIRNVF6sAfL2HOCw5dM1vN7KxcmNY3LIFgIEJA/FJ7SdobmuGz+fDzuqdyE/ONy2rS+qa6gAAZy6dweZjm7FoROganAK6bRsZEYlfzvwl7t1wL7w+Lx4reAy3p97utDbHWfj7hdhzag8uNl9Exi8yUDapDEsKl5iW5ZePaj7C6399HSNSR6Dg1QIAwE/u+Qlm3jbTrDA/nLt6DsVvF6PlWgt8Ph/uy74P92TeY1rWLcf5pvOY+7u5uHr1Krw+L6akTsG3+nzLtKwuWTNjDRZvXgyP14OcpBxUzKkwLalLmjxN2HFyB9bOWmtaihZFGUVYkL8AhWsLERkRiVFpo7Bs9DLTsrpk/hvzUd9cjx7uHnhl5ishbSYLeM9z5m0zQ3oCZ2ycv9G0BMuMHzgevhU+0zIscUe/O3D4icMh9ZC1LpOyJ2FS9iTTMrTIScrB0SePhl2ni4L+BTiw7IBpGZaIiYpB/Q/qTcuwRNnkMpRNLjMtwxL7SvaZlqCNy+fTn5hdLtcFAKe7T45tsnw+X8qNAdHcLYjm4CCag4NoDg63hOZOLC2egiAIgiBIYXhBEARBsIwsnoIgCIJgEUuGoeTkZJ/OQ8bNzWqtSmYeiYqKUmJxcXFKrF8/veeqDh48ePGb96d1NTM8Ho8S+/TTT7XeO2LECCXGjteO5i+//FKJnTt3TokNHqw+JmKnYIOuZq/Xq7z3q6++UmKXL6u1ZFkOud1uJZaTk6PE4uPjA9Zsh6qqKiU2aJD66AjLA4YdzUwLu7YYbJyDcQ2yfGHHwV7Hcjw6OrrL7wSczw12XdbX65mN8vLylJjT8wabi9vb25UYO+e6OcSwo7mmRq00dOXKFSXWt69a41k3dxlMcyeWFs/s7GwcONC1S45VDmKVVtigsUoXrMoIw+VyKRvPupoZLMnYZMjYunWrEmPHa0czq7RSVqa661auXKnEWIUNXXQ1s1ZjP/3pT5XYjh07lNihQ+qD8+zC/b//9/8qsSlTpigxp3ODwXKXVUbRnZTtaGZadKvcsD+sgnEN6la+Ya/77W9/q8R0W6s5nRvsutStnBaMeUO3ZRo753YqJdnRzLQwlzk7Nt3cZTDNnchtW0EQBEGwiCyegiAIgmARWTwFQRAEwSLd0lWF3fNnnUdYbMsWtS/ov/7rvyoxJ40eNyOUKuSwPQnWEYPtZbLxC8bzvSdPnlRiBw8eVGJTp07VirG90eeee07rO5yG7WGxfLFjzNKFeQz27lUL8bMYy5dgdwDpZPXq1UqMzRGsS0YwxlkXXS+HbvepYHS+YfuHuvMfe6/T54PlOMsN1mmlu9YP+eUpCIIgCBaRxVMQBEEQLCKLpyAIgiBYRBZPQRAEQbCIbcMQ2yxmpp/S0lIlxoxFug8224GZb9iGNNPHmDhxohJz2tDENuDZWDEjC3sdO16nx3706NFKjJl+GMxs9MYbbyixJ554wrowi7AcLykpUWKrVq1SYswEo5tXurDcyMrKUmLsnJsy2jAzCivwwbBTeCIYsAf1dYvEBON82DE0sfeyvAqG6YwZx5iJSLeYglXkl6cgCIIgWEQWT0EQBEGwiCyegiAIgmARWTwFQRAEwSLdUmGIwYwTjNOnb1rE3jGY4YBVpgh1WDUSZoZim+ihZLBg5iDWYqqwsFCJLVu2rFs03QgbZ2aAY69zuVxKjI29HQMDO78M3QpDwYDlKSMYZjxdmMmJzSXMQMOOl811wTg2XaMmMy/pmo2chl0fzLTHYMcrhiFBEARBMIAsnoIgCIJgEVk8BUEQBMEisngKgiAIgkVsG4Z0N4vZhjnbkGYGAbYpb6dKCzN2sONgJqf169crMVOty9gmPzs2Nqah1MIpJydHiQ0aNEiJPf/880osKSnJUS0s15ghh409a33EcMKscCOs0gq73pg+ZnzSNffZQdcYyK4tU8Ynlhu6VZF0cfq6ZHnA8k/XdMbMUMFAt2oTyxc2lzhRYU1+eQqCIAiCRWTxFARBEASLyOIpCIIgCBaRxVMQBEEQLNItFYYSEhKUGDP4MGMC2+AORtUNtlms+72mKp6wTW9mamAmp1Bn6tSpSuy5555TYvfff7+j38tMCMyU9Ic//EGJmTKOsfxj15GumYKZzpzOcdYyjcGMRbrGrIqKCiVmx6zF5jBd4yLT3F2tsrqCfe/hw4eVGJtLmD72OlOwPNU1xVk9DvnlKQiCIAgWkcVTEARBECwii6cgCIIgWEQWT0EQBEGwSLcYhtim8ttvv631Xt3KKMFA1yTBKp4wc4bTpgvdcWFmABZjn2e16kZX/PSnP1ViDQ0NSuyNN95QYrptrJyGVa9hMWY40G2b5DTMFMJijGDkLvs8ZiKy06JQ1/DiNMxwtWXLFiW2atUqJeZ0hSH2eSymaz40NRczfSyf2TrD8pnlldWqdQEvnttPbEfp9lJ4O7xYWrgUz49XS6eFGo9teQzbPt+G1JhUVH6v0rQcLWou1eCRtx/B+avn4XK5sKxwGUrvVN1joURreysmVEzANe81tHe0Y0H+ApRNdraMWXfg7fBizLoxSI9Lx7ZF20zL0SJ7dTbiesbB7XIjMiISB5YdMC2pSxpbG1H8TjGO1R+DCy6smboG30r7lmlZN6XqYhUefOvB6/8+2XASL0x+AcvvXG5OlAar/rwKvzr8K7jgwoh+I1AxpwK9InuZluWX8k/Kse7QOvjgw+OFj4f0GAe0eHo7vHjq3aew47s7kBGfgbHrxmJ23mwMSxnmtD5HebTgUXz/W9/HI394xLQUbSIjIrFy2koUphXiyrUrGP3aaEwdPDWkx7qnuyd2Fe9CbFQs2rxtGF8xHjNum4E7M+40Lc0v5X8pR35yPi5fu2xaiiV2F+9GcnSyaRnalG4vxT1Z92D9fevh8XrQ0t5iWpJf8pLzcOTJIwC+nvvSf5GOuUPnmhXVBbWXa/Hy/pfx2fc+Q+8evfHAmw9gU+UmPFrwqGlpN6WyrhLrDq3D/sf3I8odhekbpmPWkFnI7ZNrWholoD3P/bX7kdsnFzlJOYhyR+Gh2x/Clr+rtyVCjQlZE9Cndx/TMiyRFpeGwrRCAEBczzjkp+Sj9nKtYVX+cblciI2KBQC0dbShzdsGF1yGVfnn7OWzeOf4O1hauNS0lFuaS62X8MHpD/Dd278LAIhyRyGhp/pceKiys3onBvcZjKxEvedUTdLe0Y6W9ha0d7Sjua0ZA+IGmJbkl2MXjqEovQjRPaIRGRGJiVkTsfnYZtOybkpAi2ftlVpkxmde/3dGfAZqr4T2hH4rcKrxFA6fO4yijCLTUrrE2+FFwasFSP15KqbmTA15zcu3L8fPpvwMEa7w8tC5XC5Me30aRr82Gq8dfM20nC6pbqxGSnQKntrxFCb8dgL+/f1/R1Nbk2lZ2myq3ISFwxealtEl6fHpeHbcsxi4aiDSVqYhoVcCpg2eZlqWX4anDse+M/tQ31yP5rZmvHviXdRcqjEt66Z0i2GIbZjrbviyTWpT7bNYmzLW3osdm9Omi6ueq5j/xnysnr4a8T3jAfBxZhvmukYRO+/9Ju4IN448eQSNrY2Y+7u5qKyrxPDU4XjppZeU1zIj0JQpU5TY2rVrA9LSFZ374KMHjMaeU3sC/hyWuytWrAhcmAYflnyI9Ph01DXVYerrUzE0eSgmZE2gFVRYnrLqK7ptBgOhvaMdh84dwpoZa1CUUYTS90rx6qev4sd3/5jmn+5cwuYIp80tHq8HW6u24sV7XvT7OqaPtY3rTvNSQ0sDtlRtQXVpNRJ7JeL+N+/Hhr9uwMN3PEy/V7d6Undqzk/Jx3N3PYdpG6YhpkcMCvoVwB3hBqBvDmKweddORblOAvozOz0uHTWX/+cvgrOXzyI9Lj2QjxI0aPO2Yf4b87F4xGLMy59nWo4lEnslYnL2ZGw/sd20lJvy0ZmPsLVqK7JXZ+Ohtx7CrupdeHjzw6ZlaZEe//V1lxqTirlD52J/7X7DivyTEZ+BjPiM63ciFgxbgENfHTKsSo/3jr+HwrRC9IvtZ1pKl7x/8n0MShyElJgU9HD3wLz8efi45mPTsrpkSeESHFx2EB+UfICk3kkY0neIaUk3JaDFc2z6WByvP47qhmp4vB5s+tsmzM6b7bQ2AYDP58OSrUuQn5yPZ8Y9Y1qOFheaLqCxtREA0NLWgh0nd2Bo8lCzovzw4pQXcfaZszi1/BQ2LdiEuwfdjQ3zNpiW1SVNniZcuXbl+n//6Ys/YXjqcMOq/NM/tj8yEzJRdbEKwNd7iMOSQ9f8diMbKzeGxS1bABiYMBCf1H6C5rZm+Hw+7KzeifzkfNOyuqSuqQ4AcObSGWw+thmLRiwyrOjmBHTbNjIiEr+c+Uvcu+FeeH1ePFbwGG5Pvd1pbY6z8PcLsefUHlxsvoiMX2SgbFIZlhQuMS3LLx/VfITX//o6RqSOQMGrBQCAn9zzE8y8baZZYX44d/Ucit8uhrfDiw5fBx64/QHMGjLLtKxbjvNN5zH3d1+7Pts72rFo+CJMz51uWFXXrJmxBos3L4bH60FOUg4q5qgF3EONJk8TdpzcgbWzumfrwGmKMoqwIH8BCtcWIjIiEqPSRmHZ6GWmZXXJ/Dfmo765Hj3cPfDKzFeQ2CvRtKSbEvCe58zbZob0BM7YOH+jaQmWGT9wPHwrfKZlWOKOfnfg8BNqEYZwYFL2JEzKnmRahhY5STk4+uRR0zIsU9C/ICyeR72RmKgY1P+g3rQMS5RNLguL56tvZF/JPtMStHH5fPoTs8vlugAg8JIf3U+Wz+dLuTEgmrsF0RwcRHNwEM3B4ZbQ3ImlxVMQBEEQBCkMLwiCIAiWkcVTEARBECxiyTCUnJzs03mQlBUIuHLlihLr3bu3EhswQC0hFR0draXv4MGDF795f1pXs8fjUWInTpxQYuxhbKZZF13NuvpaWgKvE5qQoJZJy81V60rqaq6vVw0W58+fV2Js/Jqbm7vUCwD9+qnP3LndbiVmJzcYrLBDTY1aDSUvL0+JRUVFaX2HrmY2Vp9//rkSS01N1frenj17KrG+fftqvdfOOLN8+fLLL5VYXFycEmM55PQ4Mz777DMlxuarzMxMJcbyVBc7mtk1yGDng80vQ4aoz2Kyc6Sr2ev1Ku9leVBXV6fE2JrCcpfNGwymuRNLi2d2djYOHOjaJceqULAKEazKA6tqodsWy+VyKRvPuprZgs8qlLCY1VY2N6KrWVff0aOBuy9ZZRlWxUNXM6u4wyrflJWpjkDWMo3BKtCwP3Ds5AaDtZhi1Xq2bt2qxHQXbF3NrKINO5fLluk9qsD06VaWsTPOLF/YtcWOjb3O6XFmsLmJxVje26mcZkcz08Jg54PNL6zyFztHuprZH6bs/JaXlysxtpCz3GXzBoNp7kRu2wqCIAiCRWTxFARBEASLyOIpCIIgCBax3VWF7WWuX79eibGuArp7irpdFOzAjoPd32cxO3tEuuhqKS4uVmJz56qNe5k5SHdvWRe2T8s02+l+EYyxZ3swrFuKE50aAoHpu3TpkhJje8sMdq2yPSynj013H4rNB2zsdX0WurB9bpbP7Hyw/UPd43UapoXB9LH36u6568K+g3kvdu/eHfB7nRh7+eUpCIIgCBaRxVMQBEEQLCKLpyAIgiBYRBZPQRAEQbCIbcOQLmzTlhkO2OuCsdmelJSkxJipRlez06aVhoYGrdcxQ0RWVpbW65xG11DCigvomm/sGBN02bt3rxJjRhGWB8FA1zzHxpldR8EwOTEzGTM5MQMcmw9YvugW6dCFzQcMdu2z7zVlGGJjxTSz8WO55vRcx76DmbDY9cbMqnPmzHFAlYr88hQEQRAEi8jiKQiCIAgWkcVTEARBECwii6cgCIIgWKRbKgwxdE0IbLN40KBB+oIChG0qs0r+Tz/9tBJj5genYVU8GEwfo6KiQok5vfGvC+uOwMwZzAwQDJhZi+nTrT7lNLqGITbOzBTidGUehq5mVh1L9/MmT55sQVHXsHPJzHi6lZzY2AfjGmTHwcaKmbWCYYpjY8DmPzbvrlq1SonZMYn5Q355CoIgCIJFZPEUBEEQBIvI4ikIgiAIFpHFUxAEQRAsErQKQ7ows4IpIwurAKJbkUW3bZIubAyYSYJV3NGtbuL0OLPPY2OlW1mGmQGcrh7CKpmwsdLVzM6HbuUWXdiYsrFi38G0OF2Zh6F7vMyQw2DnTbcqly661zmLMaMNG1PWns9ObjAtui3JdF8XDOzkHzN+MrORVXOf/PIUBEEQBIvI4ikIgiAIFpHFUxAEQRAsIounIAiCIFjEqGGIbfKfPn1aiQWjfZYdmKGEbVLbqc7BxoDF2JiymCmYgYaZGpghJxh5wMaKGQnY69hxMAMIyw2nDTksJ5lmpiUYVZGYFla1ic0HutW22Ng7ja5pj8VYPjvd3lD389iYbtmyRYl1V3uv7oSNvRPGVPnlKQiCIAgWkcVTEARBECwii6cgCIIgWEQWT0EQBEGwiG3DENuMZS15mEGAbdAy04CdCht2YJvo7DjYxn8wWpexTW9mFGGtslhLMqdhY8WMMczUwPLAVLsmppm1cGIVWUyZtZjZo7S0VInpmoichl3TzCTG8pRdl2weCsa8wcb58OHDSmzUqFFKjGlmY28n73UrXLG8Z8cRDMMQO79sDJghjI0z+7ySkpIAlP0jAS+e209sR+n2Ulxtuor70u7DooGLbIvpbso/Kce6Q+vggw+PFz6O5XcuNy1Ji+zV2YjrGQe3y43IiEgcWHbAtKQuyV6djejI6Ouady/cbVpSlzS2NmLp1qWorKuEy+XCr2f/GuMyx5mW5ZdwzI3OucPb4cXSwqV4fvzzpiV1STjOHav+vArl/1UOF1zIicnBc0OfQ1RElGlZfin/pBxrPl4DH3yYlzUPiwcvNi3ppgS0eHo7vHjq3aew47s78MXhL/DkoSfxL33/Bdkx2Q7Lc47KukqsO7QO+x/fjyh3FKZvmI5ZQ2Yht0+uaWla7C7ejeToZNMyLPHH+X9E3959TcvQpnR7KabnTsdbD7wFj9eD5rZm05K0CKfcuHHuyIjPwNh1YzE7bzaGpQwzLe2mhOPcUXu5Fi/vfxlrC9eip7snfvTZj7Crbhem959uWtpN6Rzn1ye8jh4RPfDUn5/Ct/t9GwNjB5qWRgloz3N/7X7k9slFTlIOekT0wN2pd+Oj+o+c1uYoxy4cQ1F6EaJ7RCMyIhITsyZi87HNpmUJIcKl1kv44PQHWDJqCQAgyh2FxF6JZkXdgtw4d0S5o/DQ7Q9hy9/VW5+hRLjOHe0d7bjWcQ1enxfXvNfQNyq0/5DtHOfekb0RGRGJ0cmjsevcLtOybkpAi2ftlVpkxmde/3dKzxRcvHbRMVHdwfDU4dh3Zh/qm+vR3NaMd0+8i5pLNaZlaeFyuTDt9WkY/dpovHbwNdNytHC5XJj3h3mYtHESfvPpb0zL6ZLqxmqkRKegZEsJRq0dhaVbl6LJ02RaVpeEW258c+7IiM9A7ZVag4q6JhznjvT4dDw77lk8+MmDmP/n+YiJjMHYPmNNy/JL5zg3ehrR0t6CD89/iK9avjIt66Y4YhiqOVqDy7WXr29Os03lpKQkJTZx4kQlxkwwTpCfko/n7noO0zZMQ0yPGBT0K4A7wn39/zMzD9ts1602M3LkSBtq/5EPSz5E23+34WLLRXx3x3eR0JaAov5F1LTCjDYrVqxQYt1tvvmw5EMcP3QcDZ4GPPuXZ+Gqd2Fk4khqJmOaWR50Z4Wh9o52HDp3CGtmrEFRRhFK3yvFSx++hB/f/WOaB8zkxAwM3W18+rDkQ8R0xOBC8wXM/cNcpPdKx13pd9H2aMxAw/LelEGPtVFjxjs2vzhdoelG/M0d7NpiMH3MIOXUvNHQ0oAtVVvw6ZJPkdAzAY+++yiqelXhwaEP0vlq/fr1SiwYpsIb6Rzn/3XgfyGmRwzuyrkLPSN7oqCgQNv4xK5L9l629lgloF+e6XHpqLn8P395nb18Fulx6bbFdDdLCpfg4LKD+KDkAyT1TsKQvkNMS9IiPf7rsU3unYx7B96LoxdV92yo0ak5KSoJ307+Nv5+5e+GFfknIz4DGfEZKMooAgAsGLYAh746ZFhV13SOc0p0CmYNnhXymmXuCA7vn3wfgxIHITk6GT3cPfCd3O9g/5f7TcvqknAa54AWz7HpY3G8/jiqG6rh8Xqw6W+bMDtvttPaHKeuqQ4AcObSGWw+thmLRoS+Q7jJ04Qr164AAJrbmrHvy33IS8ozrMo/N2pu8bbgQMMBDIoZZFiVf/rH9kdmQiaqLlYBAHZW78Sw5NA1sQD/OM5NbU3YdWYX8vvmG1blH5k7gsPAhIH4pPYTNLc1w+fzYW/NXuT1Ce15AwivcQ7otm1kRCR+OfOXuHfDvfD6vHis4DHcnnq709ocZ/4b81HfXI8e7h54ZeYrYWEIOd90HnN/NxcejwfeDi9m58zGxHT7txy6k07NV69ehdfnxZTUKfhWn2+ZltUla2asweLNi+HxepCTlIOKOcG9bWWVznH2er3wdngxP28+pmRPMS3LLzJ3BIeijCIsyF+ASRsnwR3hxh0pd6B4uHorP9QIp3EOeM9z5m0zMfO2mU5q6Xb2lewzLcEyOUk5OPrkUccLLHQnnZq7a/+6uyjoXxAWz0l20jnOodQ1RweZO4JD2eQyPD1K3TMOZcJpnF0+n0//xS7XBQBqj6DQIcvn86XcGBDN3YJoDg6iOTiI5uBwS2juxNLiKQiCIAiCFIYXBEEQBMvI4ikIgiAIFrFkGEpOTvaxIgHf5MSJE+oXRapfde3aNSU2YMAAJRYXF6el7+DBgxe/eX9aVzOjpkatIlJfX6/ERowYocTcbrcSYzitmVFVVaXE+vXrp8R0H443Nc69e/dWYnl5evZ7O5qZvrq6Oq3vZQwePFiJsbEPhmY2piw3+vbVK+2mq9nr9Srv/fTTT5UYGyvd+UAXp/OZHVt1dbUS69mzpxLLzMxUYgw7mj0ejxL77LPPlFhUlFpEnn1+dHR0l98J2NOsmy9MM5sj7MzPnVhaPLOzs3HgQNduRFZpRbe6CWvJwypEMFwul7LxrKuZwdp7saoWu3erHUN0FyKnNTPY+OlWbmGYGmdWYUjX0WtHM9NXXl6u9b2MlStXKjE29sHQPGSI+hA6e69uVSRdzcwhzCbRtWvXKjHd+UAXp/NZt/2ibvs7hh3NbN5l1xbTp3tdMuxo1s0XFnN6fu5EbtsKgiAIgkVk8RQEQRAEi8jiKQiCIAgWsd1VhcHuT+t2LWGdQhoaGpSY050f2N4Z2yNi1fhNdaFgsHHeu3ev1nt19zztwMaZ7VOwve/u7JzRCctd1qmBdS1hx8G6yBw+fFiJOT32bB9KtxNMSUmJEnO6Cw8bZ9ZlhM0HjKysLCWmm2tOw/YFt2xRe5Y62XnJCuzaYrCxYnN2MCpcsTFl+cK0sHlDdwz8Ib88BUEQBMEisngKgiAIgkVk8RQEQRAEi8jiKQiCIAgW6RbDEDMhsA1f3TZbwTDkMM3MhMCOg72XbUjrPkysi+7D2AxTJidmONB96J2N/ZEjR5SYnXHWLebB0DU0sXxxGpYHLCcTEhKU2Pr167tB0T+iW9yCGal0z28wjCzsOHTzwOliDwx2fbDzW1Gh9q5lOeS0cYzB8pSNc2lpqRJjBT7Y9aZbtMIf8stTEARBECwii6cgCIIgWEQWT0EQBEGwiCyegiAIgmCRbjEMsc1Y1sWDbeizCvhOwzafWbUKdhzMPMKqhzDjCTO86MK+l+nTrSYUDMMQG2dW5caOScfpijHMYME0s9fpmmCYIYJ9h9OMGjVKibGxZ0Y5p0lKSgr4vew4glEdi11vzHzDtJw+rTbnCMY1qGua0r3emCGH5bOdCj5sXJhJjH0Hey/TzK5Vq2Yo+eUpCIIgCBaRxVMQBEEQLCKLpyAIgiBYRBZPQRAEQbBItxiG2AYtg23uBqPqhq45g22i6x6bEy1vboRtcLPx022fFYxxZrA2b6zKDTNwMdjx2qmCwj6PtRVjsONg5hGnc0MXpoUZ9FhuMIOUHbMW08Ji7HtZZZlgtApkhj/dqlfMVBiM9mhs3mCGMN2qV8Go2jRo0CAlxuZi3fPLzEZ2zJudyC9PQRAEQbCILJ6CIAiCYBFZPAVBEATBIrJ4CoIgCIJFusUwxDapV61apcSYOYO189E16eii2zKImVsYbAPeaTOAbnsgtqHPzDfM1OA0zHji8/m03svGj+WL023emJmHjTMzNbD3Op27TsOuBd1qVroVlXRh55cZbXRbHob62OtW9bEDGyt2znXnK2bScdqYxYxjzPTIzq/uvOHE/Ce/PAVBEATBIrJ4CoIgCIJFZPEUBEEQBIvI4ikIgiAIFrFtGNI1DTBjB9vINbXxzzbR2UY4qzZjqmIMw+kWRMFAd+PfaXOQLrrVSOxUNnIadl2ymG5rtWCMPRvnkpISrfeayg0Gaz/GCMY1yMaFzWssd5nZiM11usZKOzB97NjYvHH06FElVlFRYVtTwIvnqj+vwq8O/wrNTc3IicnBc0OfQ1RElG1B3Y23w4sx68YgPS4d2xZtMy2nSx7b8hi2fb4NqTGpqPxepWk5WlRdrMKDbz14/d8nG07ihckvYPmdy82J6oJw1Nza3ooJFRNwzXsN7R3tWJC/AGWT9UoJmiR7dTbiesbB7XIjMiISB5YdMC3JL+F4DQLA9hPbUbq9FN4OL5YWLsXz4583LalLwklzQLdtay/X4uX9L+PA4wdQMbYCXnixq26X09q6hfK/lCM/Od+0DG0eLXgU2x/eblqGJfKS83DkySM48uQRHFx2ENE9ojF36FzTsvwSjpp7untiV/EuHH3yKI48cQTbv9iOT85+YlqWFruLd+PIk0dCfuEEwvMa9HZ48dS7T+G9xe/hs6c+w8bKjfjswmemZfkl3DQHvOfZ3tGOlvYWeH1eXPNeQ9+ovk7q6hbOXj6Ld46/g6WFS01L0WZC1gT06d3HtIyA2Vm9E4P7DEZWovosbKgSLppdLhdio2IBAG0dbWjztsEFl2FVtx7heA3ur92P3D65yEnKQZQ7Cg/d/hC2/F19ZjaUCDfNAS2e6fHpeHbcsxi4aiDm/3k+YiJjMLbPWKe1Oc7y7cvxsyk/Q4RLfFLBYlPlJiwcvtC0DEuEk2ZvhxcFrxYg9eepmJozFUUZRaYldYnL5cK016dh9Guj8drB10zLuSWpvVKLzPjM6//OiM9A7ZVag4q6Jtw0B7Tn2dDSgC1VW1BdWg20Ao+++yiqelXhwaFf7xmxjVy24cs2d3Wr/1ilc89i9IDR2HNqj9Z7dM03ptp7MXQ1B8Ng4fF6sLVqK16850W/r2PGCd0WSU7DNOu2eXO60ooO7gg3jjx5BI2tjZj7u7morKvE8NTh9DrSbSvGDFxOmuI+LPkQ6fHpqGuqw9TXp2Jo8lBMyJpAv4NV72LGolC6BkeOHKnE2HGY0szGT7c6FssrVhHIadj3MmMbm/9WrFihxJww9wX0E+z9k+9jUOIgpMSkoIe7B76T+x3s/3K/bTHdyUdnPsLWqq3IXp2Nh956CLuqd+HhzQ+blnVL897x91CYVoh+sf1MS9EmHDUDQGKvREzOnoztJ0J/by49Ph0AkBqTirlD52J/bWjPHeFIelw6ai7XXP/32ctnkR6XblBR14Sb5oAWz4EJA/FJ7SdobmuGz+fD3pq9yOuT57Q2R3lxyos4+8xZnFp+CpsWbMLdg+7GhnkbTMu6pdlYuTFsbn92Ek6aLzRdQGNrIwCgpa0FO07uwNDkoWZFdUGTpwlXrl25/t9/+uJPGJ463LCqW4+x6WNxvP44qhuq4fF6sOlvmzA7b7ZpWX4JN80B3bYtyijCgvwFKFxbCBdcuCPlDhQPV29jCfZZ+PuF2HNqDy42X0TGLzJQNqkMSwqXmJbVJU2eJuw4uQNrZ601LUWbcNN87uo5FL9dDG+HFx2+Djxw+wOYNWSWaVl+Od90HnN/97WLub2jHYuGL8L03OmGVfknHK/ByIhI/HLmL3Hvhnvh9XnxWMFjuD31dtOy/BJumgN+zrNschnKJpdp77GFEpOyJ2FS9iTTMrTYOH+jaQkBERMVg/of1JuWYYlw03xHvztw+InDpmVYIicpB0efVB9aD2XC9RqcedtMzLxtpmkZlggnzS7dFlEA4HK5LgDQK59hhiyfz5dyY0A0dwuiOTiI5uAgmoPDLaG5E0uLpyAIgiAIUhheEARBECwji6cgCIIgWMSSYSg5OdnHHqrWgRmLampqlFhUlFpcftCgQVqvO3jw4MVv3p+2o7m5uVmJff7550qMPRyfmZmpxNxutxKzo5npY2N69erVLj8L4A/M9+2rll20o/nKlStasXPnzimxwYMHKzHdwgRO54bX61Vin32mV4eTHUd0dLQSs6PZ4/EosaqqKiXGjoN9vqlxZugeR16e+vic09cgg2n58ssvldi1a9eUWG5urtZ3OK2ZFSph84vumDJ0NbPxY/MaW1NiY2OVGFs/7GjuxNLimZ2djQMHAivkvGWLWqOwtLSUfsc3YRUx2OtcLpey8WxHM6vIwqqCzJqlPh6g2+LMjmamj1UF2bt3b5efBehX4rCjWbdVFmv9tnLlSiWmW93E6dxgF65u1abf/va3Wu+1o5lNhix32XGE0jgzdI9j9+7dSszpa5DBtLAKPuwcsWpWDKc1s+uczS+6Y8rQ1czGj81rbKxYbrD1w47mTuS2rSAIgiBYRBZPQRAEQbCILJ6CIAiCYJGAKwz5g+336VbtZ/en2d6AkwaEm8E0s24f69evV2JsD8HpLgq6+6qrVq1SYk8//bQSY3sITnQf6Oo7ysvLlRjbf62oqFBiwejowGC5y/Ytdfe1nO5yw3L39Gm9Z9FZxxh2HMHoIsOOg+3hJyQkKDG2dxYMzew6P3rUTFUlNgbsmtZ9XTDGT3e+Z9cg26dlczbzWVhFfnkKgiAIgkVk8RQEQRAEi8jiKQiCIAgWkcVTEARBECzSLYYhtqnMNnLZJnUwzBS6MH3M0MQ0s01vp2FaGEyLrtnIaSZPnqzEdB8q1zXkBMNMxrTomoichl1bzMTGjEAM9l7dgiF2YAYVpoXBxjkYecDQNe2xa9Bp2LXFCtZMnDhRibF8DgbsXLIYOw42J7IxcMJMJr88BUEQBMEisngKgiAIgkVk8RQEQRAEi8jiKQiCIAgW6RbDkG4FC1b5wZSRhcG0MOMEw2mzAtscZxV32MY6G3tWbSYYBgFWEYhVE2IVQIJhwtKFjRXLF6bZ6XHWrRykazALxtiz79A1BzFYjpuCHZtuhRyn0T1vpuZYO7D5j+UBm7OdOF755SkIgiAIFpHFUxAEQRAsIounIAiCIFhEFk9BEARBsEi3GIZ029uwCiVOVy2xA9to1jWKOH0cu3fvVmLMRMRiujBDSTCqoLCxYpWImLHIaWMWM3voxli+sOpTpswZ7Pyy65KNaTAMOawKDzPAsdwwVQ2HXW/sOEwZhnRh+cyqfIXSnM3Gz4lWY7rIL09BEARBsIgsnoIgCIJgEVk8BUEQBMEisngKgiAIgkVsG4bYpnJZWZkSGzlypBJjZopgwDaVWbWjS5cuKbHS0lIlxkwXTsPGmWlmY1peXq7EWHUOU8fBjCxZWVlKbNSoUd2g6B9hFVlYPjPYmAbDTMHaSSUkJCgxZv7SNQc5bXLSNZ7oGpWCUX2Kjd/TTz+t9V6WG6EEm+vYXMKuBVNzCcsXZjDTnXOsIr88BUEQBMEisngKgiAIgkVk8RQEQRAEi8jiKQiCIAgWsW0YYiYOZvY4evSoEtNtSeZ0FRm20cy+g2nW3WhmG+ZsM1sXZthgx8HGj52PYGzoM5jhgBkTmDGLmWCcRrcSFnsdyw2WV7oxXXRzg1XDYdV62DibypdQgl2/LE+ZIbGkpESJsbxnVXPsmM7Ye1kFJGZ80s1xZshxOl9Y9S5mJmPXEWt150Try4AWz5pLNXjk7Udw/up5XL16FdP6TsN3Ur4TyEcFjRs1u1wuLCtchtI71cQPNaouVuHBtx68/u+TDSfxwuQXsPzO5eZEdcGqP6/Crw7/Ci64MKLfCFTMqUCvyF6mZfklXPNj+4ntKN1eCm+HF0sLl+L58c+bluSXx7Y8hm2fb0NqTCoqv1dpWo4WnblRXVcNAJiVNgsLMhYYVtU1ja2NWLp1KSrrKuFyufDr2b/GuMxxpmXdlNb2VkyomIBr3mto72jHgvwFKJus53Q3QUCLZ2REJFZOW4nCtEJs2rwJ/+vz/4WCuAJk9sp0Wp9j3Kj5yrUrGP3aaEwdPBXDUoaZluaXvOQ8HHnyCADA2+FF+i/SMXfoXLOi/FB7uRYv738Zn33vM/Tu0RsPvPkANlVuwqMFj5qW5pdwzA9vhxdPvfsUdnx3BzLiMzB23VjMzpsd0pofLXgU3//W9/HIHx4xLUWbzty4XHUZze3NeOLQExiTNAbZMdmmpfmldHsppudOx1sPvAWP14PmtmbTkvzS090Tu4p3ITYqFm3eNoyvGI8Zt83AnRl3mpZGCWjPMy0uDYVphQCA3u7eyOiZgfq2ekeFOc2NmuN6xiE/JR+1l2sNq7LGzuqdGNxnMLIS1duwoUR7Rzta2lvQ3tGO5rZmDIgbYFpSl4Rjfuyv3Y/cPrnIScpBlDsKD93+ELb8PfDGAMFgQtYE9Ondx7QMS9yYG9GR0RgYPRAXr100rMo/l1ov4YPTH2DJqCUAgCh3FBJ7JZoV1QUulwuxUbEAgLaONrR52+CCy7Cqm2PbMHT+2nmcbDmJIdFDnNATFE41nsLhc4dRlFFkWoolNlVuwsLhC03L8Et6fDqeHfcsBq4aiLSVaUjolYBpg6eZlmWJcMmP2iu1yIz/n7s9GfEZqL0S2gt+uPNV61c4cfUE8uPzTUvxS3VjNVKiU1CypQSj1o7C0q1L0eRpMi2rS7wdXhS8WoDUn6dias7UkL4GbRmGrnquYm3jWqyduxbz8uddj8+ZM0d5LdtoZjFmImKvC9R8c9VzFfPfmI/V01cjvmf89TjbkGYb/2yTn8XYxrUdw5DH68HWqq148Z4X/epjppBgVnJqaGnAlqotqC6tRmKvRNz/5v3Y8NcNePiOhwHwaiTsnLOqOXbGTxeWH+xcsjHVba2mmy920G0lxyrzBKMNnS7MxMFyIxitqMb8yxhM/M1E/L85/w/35d8HQN/Mo9s+y6lKTu0d7Th07hDWzFiDoowilL5Xipc+fAk/vvvH2q3QmBGIwQw5geKOcOPIk0fQ2NqIub+bi8q6SgxPHU4NSMzQycxuxcXFSsyJcQ74l2ebtw3z35iPxSMW/8PCGcqEo+ZO3jv+HgrTCtEvtp9pKX55/+T7GJQ4CCkxKejh7oF5+fPwcc3HpmVpEW75kR6XjprLNdf/ffbyWaTHpRtUdOsSbrmREZ+BjPiM67/cFgxbgENfHTKsSp/EXomYnD0Z209sNy3lpgS0ePp8PizZugT5yfl4ZtwzTmvqFsJR841srNwY8rdsAWBgwkB8UvsJmtua4fP5sLN6J/KTQ/sWFxCe+TE2fSyO1x9HdUM1PF4PNv1tE2bnzTYt65YjHHOjf2x/ZCZkoupiFYCv/RLDkkPXSAYAF5ouoLG1EQDQ0taCHSd3YGjyULOi/BDQbduPaj7C6399HSNSR6Dg1QIAwE/u+Qlm3jbTSW2OEo6aO2nyNGHHyR1YO2utaSldUpRRhAX5C1C4thCREZEYlTYKy0YvMy2rS8IxPyIjIvHLmb/EvRvuhdfnxWMFj+H21NtNy/LLwt8vxJ5Te3Cx+SIyfpGBskllWFK4xLQsv4RjbgDAmhlrsHjzYni8HuQk5aBiTmgXpz939RyK3y6Gt8OLDl8HHrj9AcwaMsu0rJsS0OI5fuB4+Fb4nNbSrYSj5k5iomJQ/4PQdjPfSNnkspB+PosRrvkx87aZIT+J38jG+RtNS7BMuOZGQf8CHFh2wLQMbe7odwcOP3HYtAxtXD6fflK4XK4LAE53nxzbZPl8vpQbA6K5WxDNwUE0BwfRHBxuCc2dWFo8BUEQBEGQwvCCIAiCYBlZPAVBEATBIpYMQ8nJyT6dh7nZg9esAr7b7VZi7PPj4uI01AEHDx68+M3707qa6+tVQ8758+eVWEtLixJjn9+3b98uvxOwp/nTTz9VYh6PR4lFRUUpsQED1JJ5TmtublZraR47dkzrO5jm1NRUJZacnKzEWF7ZGWcGyxeW90OGqJW3gpHPjJqaGiXm9XqVmJ2CDU5rZmPa3t6uxHJzcwP6fMCeZjavsXEeMWJEwPoYwcgNRmZm4PXLnZ6fL15USySyfO7XT3023s5c14mlxTM7OxsHDnTt3mLVIFhVFVblYe1a9XEM3SoeLpdL2XjW1cyqGLFKK6yqxYoVK5SYbkseO5pZ0p0+re69p6WlKbFgaGZVm1gLOwbTzCqjMM0sr+yMM4PlC2s7ZSqfGWz82OSv23aP4bRmdn6ZZjtVtOxoZhW9WJuyQI//ZgQjNxh2qk85PT+zGMsN3XmDwTR3IrdtBUEQBMEisngKgiAIgkVk8RQEQRAEi9jqqnIz2P1kts/D7p+zLhTV1dVKzI6pge3Fsf2qrCy1byar2s/eyzqFONUxoRN2L58dG+t6wDSzriV2Opmwc8T2gxhsP+Ppp59WYkyf7p6iLmwfheUuy41gdIJhMH3l5eVKbNWqVUFQowfLZ5a7rDOPKdj4sWs/lGBzBMsN3WvVaXT9BEyf7tzO5gira4r88hQEQRAEi8jiKQiCIAgWkcVTEARBECwii6cgCIIgWKRbDENsM5Zt5LKCA2wT2I45iMFMHOwh6zlz5iixH/3oR0qsrExtv8VMJsEwDLGHtpnpguH0OLPjZUYWFrt06ZISmzhxohJz2pDDzhszwLHc1S0EEgyY6WLkyJFKTPdh8WAQjprZvGankIDTMH3M0FRcXKzE2HGwik9OzxvsGtSFHS/LISc0yy9PQRAEQbCILJ6CIAiCYBFZPAVBEATBIrJ4CoIgCIJFusUwxNDdoDVVkYWZg+xgZ9PbDmxznMG6qpgytzATAoMZSpzWzEwSzITFDBYsh3SrbTltgmFjysxups45g2kxNR8w2DXNjG2hpJnlM+u8NHfuXK33shxiuWYnr5gRcs+ePUqMzQfsfHSXgUt+eQqCIAiCRWTxFARBEASLyOIpCIIgCBaRxVMQBEEQLBI0wxDbQGamC7YJ7LSZglWhYCYOtvmsCzuOYFQeYcYsVpmHVcNhG/XBMJSw88vGT1ezHZgxgcHGWbelFjNY2MlxppnlLjN7sDFlFWicHmdmvmExXeMTGz+nK9/owjSzcQ5GOz02Vmyc2VzMckjXkOg0bPx024o5PaadyC9PQRAEQbCILJ6CIAiCYBFZPAVBEATBIrJ4CoIgCIJFgmYYYjADTVJSkhJjhgg7m8CswgbbaGYb6+y9upVlTMFMA5MnT1ZizKTjtFGEwYwTbPzYcTitj40B08fa0OnCDDl2sFO9i40puy6ZyY6NlS661YT27t2rFWPnQ7fNli66lbAGDRoU8Hewlox2NLPcYOYb9h1PP/20EgtGlS8Gyz+WByyfuwv55SkIgiAIFpHFUxAEQRAsIounIAiCIFhEFk9BEARBsEhAhqHW9lZMqJiAa95r8LR5MDt3Nn447ofX/7+uQaWhoUHr+3QrAnVF1cUqPPjWg9f/fbLhJF6Y/AKW37mcmn7YdzATUXduot841u0d7ViQvwBlk782R7BWWbt371ZizCDQnXRqbvY0w9vh/Yf80DX4sMo8DJYbgbaE8nZ4Mfc/5yI9Lh3bFm27HmfnnJnYWI6zvHLS5NTY2ohn9z+LyrpKuFwu/Hr2rzEucxxtOafbwknXZBIoja2NWLp1qaKZGamYKYRVzGKwHArUyNfY2oj/8/n/UTQnJCRovZ+NHzsf5eXlSsyOYcjb4cWYdWOUnP4mbL5ix9bd7dbKPynHukPr4IMPjxc+juV3Lgegb4oLZlWpgBbPnu6e2FW8C7FRsbhQfwEz3pyBKdlTMDZtrNP6HCUvOQ9HnjwC4OukSv9FOuYOVfvYhRI3jnWbtw3jK8Zjxm0zcGfGnaal3ZROze3N7WjztoVNfpT/pRz5yfm4fO2yaSnalG4vxfTc6Xjrgbfg8XrQ3NZsWlKXiObgEU45XVlXiXWH1mH/4/sR5Y7C9A3TMWvILOT2yTUtjRLQbVuXy4XYqFgAQFtHG9o62uByuRwV1t3srN6JwX0GIysxy7QUvyhj7W2DC6E91uGYH2cvn8U7x9/B0sKlpqVoc6n1Ej44/QGWjFoCAIhyRyGxV6JZUV0gmoNHuOX0sQvHUJRehOge0YiMiMTErInYfGyzaVk3JeA9T2+HFwWvFmDIuiGYNHASxvQf46SubmdT5SYsHL7QtAwtOsc69eepmJozFUUZRaYldYm3w4tv/8e3wyY/lm9fjp9N+RkiXOFjA6hurEZKdApKtpRg1NpRWLp1KZo8TaZl+UU0B49wy+nhqcOx78w+1DfXo7mtGe+eeBc1l2pMy7opAY+qO8KNI08ewd+W/A2Hzh/CZxc/c1JXt+LxerC1aivuH3a/aSladI712WfOYv+X+1FZV2laUpe4I9zYt3hfWOTHts+3ITUmFaMHjDYtxRLtHe04dO4Q/m3Mv+HwE4cR0yMGL334kmlZfhHNwSEcczo/JR/P3fUcpm2YhukbpqOgXwHcEW7Tsm6K7QpDWf2yMDV3Kj6u+xj/kvsvAPjmODN2sBgzWDhdkeW94++hMK0Q/WL7XY8xAwgzK6xatUqJBaPCBgAk9krE5OzJ2H5iO4anDqemkKNHj2p9Fqu+4nRVpE6jzdjksdj2920YMHwAPedMMzOFsIonThgYPjrzEbZWbcW7x99Fa3srLl+7jIc3P4wN8zbc9D3sOBjdWfEkIz4DGfEZ1+9ELBi2AC999NJNv5eZKVg+s0o6Tl2D/jQzIxXTolsFSreNVVf408y+g11HzEzGcpydj0CwmtMsN5iZjJkU2ZwdKEsKl2BJ4de3x//3zv+NjPgMAHyc2fcG0zAU0C/PC00X0NjaCABoaWvBjpM7MDR5qJO6upWNlRvD5pZtOI71jZpb21ux78t9GJww2KwoP7w45UWcfeYsTi0/hU0LNuHuQXf7XThDhf6x/ZGZkImqi1UAvt7HH5Y8zLAq/4jm4BCuOV3XVAcAOHPpDDYf24xFIxYZVnRzAvrlee7qORS/XQxvhxcdvg48cPsDmDVkltPauoUmTxN2nNyBtbPWmpaiRTiOdafmlmst8Pl8uC/7PtyTeY9pWbcka2asweLNi+HxepCTlIOKORWmJXWJaBZuxvw35qO+uR493D3wysxXQtqYFdDieUe/O3D4icNOawkKMVExqP9BvWkZ2oTjWHdq1i2kHUpMyp6ESdmTTMvQpqB/AQ4sO2BahiVEc3AJp5zeV7LPtARtwsOGJQiCIAghhMvn8+m/2OW6AEDtyRU6ZPl8vpQbA6K5WxDNwUE0BwfRHBxuCc2dWFo8BUEQBEGQ27aCIAiCYBlZPAVBEATBIpbctsnJyT4nH0L99NNPlVhqaqoS69evnxJjHDx48OI3708zzV6vV3lvVVWVEvN4PEqsd+/eWlqYZlZMQVczQ/c4oqOjlZid82hnnE+cOKHE2OsyMzOVWFxcnFWp17Ezzp99plcdiZ3f5ORkJRYVFaX1eXY061JTo5Y/u3LlihIbNkzvuUZdzc3NamF1dr0xfW63WnWGXW99+/btUi8QnHFmeX/16lUlNniw+jw0y3s7mpkL/tq1a0qsZ8+eSiwY8waD5SQ7DjY/5+YGXlieae7E0uKZnZ2NAwecs2uzQWNVRnRbOLlcLmXjmWlmLaZY5RF2cnQr2rBqOKwihq5mhu5xMM2sSosudsaZVaphr2NtmAKpDtOJnXHWPefs2Fi1Gd0JyI5mXdi1xapt6X6nrmZWoen0adU3UlpaqsTYHynsOHQrZgVjnFlusHFeu1Z9/pzlvR3NbFzYXMfyNBjzBoONFTsO3UpTujDNnchtW0EQBEGwiCyegiAIgmARWTwFQRAEwSK2u6rowu5Fsz2OYJR00+3swbqWMNjegJOdBgC+B8j2VRns2Nj50N1b1oWNM+tUw2BdKA4fVssUOtFV5UZY1wjdTjXsdWyvhsWCAbu2ysvLtd7L9qXtdBNie2dMC+s8orsX53SXIF1Y3rO8YrBuOHbyhWlZv3691nvZtcrG1I4XgcE063b1YePM5jU2n1pFfnkKgiAIgkVk8RQEQRAEi8jiKQiCIAgWkcVTEARBECzSLYYhtqmsa7pwsqrHzWAb0iNHjlRibPPeFMywwWDHwUw17NicNgw5Ddvkt/PQNoMZVBISEpQYG1NTRiBd2DXIihCwMbVjDmLoGr3YOWd56rQ+O7CH8rOyspQYM0w6DctJls/sdew42Niz+dQO7HvZusC+l8WYoYnNf1ZzSH55CoIgCIJFZPEUBEEQBIvI4ikIgiAIFpHFUxAEQRAsYtswxDb0WQULVq2nrKxMielWkrADM9/odlBhrwsl841uBwH2OrbZbqeCD9uor6ioUGIlJSVKjBksWF45bRhipgE2BrqdYJh5zpS5RbfqlZ0uFLqw65yNH4uxyjcsr0wxatQoJcbmDZbPTldFYnnK8lk3xq43p6tPMXQ/T7dyGstxq2MvvzwFQRAEwSKyeAqCIAiCRWTxFARBEASLyOIpCIIgCBaxbRhim6yDBg1SYg0NDVqfxypdOL2JzjaQWQWLpKQkJcbaYulW4rADMyGwSiEMdmy6FXKcbvnFzqXu+XW5XEqMaXa6RRL7PGZ2Yy3iWG6YqkTEDGHFxcVKLBiVtXSNWcxUwzQHo/0YM8YwAw07v6xVFqsGZqqNmi667b1CqTobw4nWl/LLUxAEQRAsIounIAiCIFhEFk9BEARBsIgsnoIgCIJgEduGIbbxzyqZhFK7JqZZd6N+1apVWp/nNKxVFkPXQMOqtLCN/1CCGSx0WxDZgZkf2Hcwc1B5ebkSc7qSEztvzLzEYNdqMKpjMfNNMCob2YHlATu/DFYxKxhzIjMa2hnnYLTi09UcjMpG/pBfnoIgCIJgEVk8BUEQBMEisngKgiAIgkVk8RQEQRAEiwRsGHpsy2PY9vk2pMakovJ7lV2+nlW5MUH26mzE9YyD2+VGZEQkDiw7AIBXnGBtk9gmNTOAOMX2E9tRur0U3g4vlhYuxfPjn7/+/5hpRbd6EsOpakLln5Rj3aF18Hq9eGT4I/i3Uf92/f+x8WMxZkLo7rG/WW6w77106ZISY6YGVgXKqWuh5lINHnn7EZzvcR4ulwvLCpeh9M5SAHz82FixyjfMgMRyLdB8WfXnVfjV4V/BBRdG9BuBijkV6BXZi44pM8oFozXdjXSO8+nM03C5XJifNR+LBi8CwA0qTMvp06eVGDMgOWna235iO35Q8wNl7igtLdXSwmLs2Jyc27ef2I6nTz6NDl8HHrztQfzbiK/nDt2WkUwLy3snxjngxfPRgkfx/W99H4/84RHbIoLN7uLdSI5ONi2jS7wdXjz17lPY8d0dyIjPwNh1YzE7bzaGpQwzLe2mVNZVYt2hddj/+H40X2nGgrcX4N5B9yInMce0NC3CJTcAIDIiEiunrURhWiGuXLuC0a+NxtTBU0M6P2ov1+Ll/S/js+99ht49euOBNx/ApspNeLTgUdPSbkrnOEecj0BTWxMW7V2EopQiDI4fbFraTQnHuaNT82+m/Ab9o/tjzjtzMCVzCm5LvM20NErAt20nZE1An959nNQifIP9tfuR2ycXOUk5iHJH4aHbH8KWv6u/FEKJYxeOoSi9CNE9ohEZEYm70u/CH0/80bSsW5K0uDQUphUCAOJ6xiE/JR+1l2sNq+qa9o52tLS3oL2jHc1tzRgQN8C0JL/cOM4xPWIwKG4QLrReMKzKP+E4d3RqHhg3EFHuKHxn0Hewo2aHaVk35Z9uz9PlcmHa69Mw+rXReO3ga6bl+KX2Si0y4zOv/zsjPgO1V0J7chyeOhz7zuxDfXM9mtuasePUDtReDW3NnYRTbnyTU42ncPjcYRRlFJmW4pf0+HQ8O+5ZDFw1EGkr05DQKwHTBk8zLUubL5u/RNWlKgxPGm5ail/Cce74pub+0f3xVdNXBhX5x3aRhHDjw5IPkR6fjrqmOkx9fSqGJg/FhKwJpmXdMuSn5OO5u57DtA3T0NPVE8NThsPtcpuWpUW45sZVz1XMf2M+Vk9fjfie8abl+KWhpQFbqragurQaib0Scf+b92PDXzfg4TseNi2tS5rbm/Hs/mfx7PBnEdsj1rQcwTBBWzzZRi4zAzDThZNtetLj069vII9LHIe3/+ttxDfEU3MQM0mwjebuqmqRHpeOmss11/999vJZpMelX/+37uY9M7ysWLHCCYmUJYVLsKRwCU6dOoWfH/o5+vfsf10DO5es2hGryMKOzclqOOnxX49takwq5g6di/21+zEhawL9DmZaYVRUVCgxJ/OlzduG+W/Mx+IRizEvf971uG4VGXZszCjCzlsgpov3T76PQYmDkBKTAgCYlz8PH9d8jIfveJi2+9OtFsWMT6x6UqC0edtQ9vcyLC1aimfGPXM9zkwrbEzZ+OlWnwqkgo+/uYPpY/nCjs1Odbau6NTceZ1fq7mG/PR8ZGdn0+tN19Cpez6s8k9127bJ04Qr164AAFraW/Dnuj9jcFzobvqPTR+L4/XHUd1QDY/Xg01/24TZebNNy+qSuqY6AEDt1VpsP70dc3Kcm8S6ixtzo8nThD998ScMTw3tW3M+nw9Lti5BfnL+P0zooczAhIH4pPYTNLc1w+fzYWf1TuQn55uW5ZdwHOdwnDvCTXPAvzwX/n4h9pzag4vNF5HxiwyUTSrDksIlTmpznPNN5zH3d3PR0tICr8+LGekzcFe/u0zLuimREZH45cxf4t4N98Lr8+Kxgsdwe+rtpmV1yfw35qO+uR4+rw8v3PkC4qNC+1Yi8D+5AXxtaFk0fBGm5043rMo/H9V8hNf/+jpGpI5AwasFAICf3PMTzLxtpllhfijKKMKC/AUoXFuIyIhIjEobhWWjl5mW5ZdwHOdwnDvCTXPAi+fG+Rud1BEUcpJycPTJo936XKbTzLxtZkhfpIx9JfsAONOtPVh05kY4MX7gePhW+EzLsEzZ5DKUTS4zLUObcB3ncJw7wknzP9VtW0EQBEFwApfPp/8XlcvlugBALZUROmT5fL6UGwOiuVsQzcFBNAcH0RwcbgnNnVhaPAVBEARBkNu2giAIgmAZWTwFQRAEwSKW3LbJycm+QCvoe71eJfbZZ58pMbdbrUaTl5en9bqDBw9e/Ob9aV3Nzc3NSuyLL75QYh6PR4lFRUUpsREjRnT5nYA9zQzmcGUPDg8ZMkSJRUdHa32HrmY2VidOnFBi7HXsYey+ffsqsbi4uK7kAtDXzPK0qqpKiTHNw4apRbdZbujidG6wY2PO88GD1WefdQs72NHMxrShoUGJnTt3TomxcQ7GvMGoqalRYnV1dUqMXYNO57MubN5ob29XYrm5uQF9PmBPM1srWlpalBg7vyyf7YxzJ5YWz+zsbBw4cMDKW67DJnDdCha7d+/Wep3L5VI2nnU1s0mEVbBgrYXS0tKUmO442dHMYJUzWPWQ3/72t0pMt8WUrmbdNm/sdbNmzVJi7Nh0K9DoamZ5yr6Dad66dasSs9OuyencYMeWlJSkxFauXKnEdKv12NHMxpTlLquAxMY5GPMGg1W0YdWE1q5dq8Sczmdd2LXF8kW3chXDjmY2Nx09qj5aFhurlk10epw7kdu2giAIgmARWTwFQRAEwSJGu6qwW6AspttF3A7stgW7xcNi7PYB0+xkx3WAF+ZmBZTZLTenx4/BjresTK0sk5CQoMTYrS92y5fdbrczzuy2lG6lJHY+nOhY7xSsAD+DFbN3ssj6zWC30ti51N2aYGPPbvnqwm5jss9jt2hHjhypxJyeD3Rh1wybN4qLi4OgRg+WG2w+YHkwefJkJcaaEFidE+WXpyAIgiBYRBZPQRAEQbCILJ6CIAiCYBFZPAVBEATBIrYNQ6yDOzMcBNINvZNgmFuYPmYOYkaWYJiDGL/5zW+UGDPfsNeZQtd4wsYvGMYsZqbQPed2cjwYrFq1yrQEv7Dx0z2XwWgzyOYhZnDMyspSYszcYsowpPusZijNG7rGO91jY7kmhiFBEARB6GZk8RQEQRAEi8jiKQiCIAgWkcVTEARBECxi2zDEDCpsM/bSpUsBf14wYJVCmAmBxdixsSooTm/AM9MKq8Sh2xEjlGBGtIkTJyox3QLPurBqJMwAwkxEpsaZmSmYcUK3wpDTY6qLHQMNq/5j5/O8Xq/ymew72HzFKgwxwxD7vGBUpGLzM8vxUIeNHzMVsnmDXb9WkV+egiAIgmARWTwFQRAEwSKyeAqCIAiCRWTxFARBEASL2DYMMXOBbuse1p7KTssgXdiGOdvk14VVzXFiQ7ormFGJmYjYmIaS4YXBWjgFQx87l8wkxsw3rLJWMGCVUdg1yGDHEYyKXswQxkw1dkhKSgr4vW63W8k31raLadY9DlPXG5sjWKUkpo8Zmpg5MhgwfczA1V2VnOSXpyAIgiBYRBZPQRAEQbCILJ6CIAiCYBFZPAVBEATBIrYNQ7qwTWpGMKqbsO/YvXu3EmNVWliMbaIHo90Q2xxnFTZYjGkOJTMAM13othuyAzOyFBcXKzE29k4bXnRh+cxizCTGDEPByF1mCGPnt7q6WomxSl3MIMW+ww7MTMb0sTxg12AwTIUMdn6ZYYgZx3Q1m5o3mL7uqtokvzwFQRAEwSKyeAqCIAiCRWTxFARBEASLyOIpCIIgCBYJmmFI14TAqrkEo+IJ08eMCWwjPBgGCwYzJrAqKKzdEDMIsEpEdgxczMTBTCHMTMbGPhjj3NDQoMRYJSc7hiFWGSUYZijdqkPBgJ1LFtOtVsbyPhj5onscDFMVhlie6hrHdM+H04Yh3faQzBzErl/2OqsGroAXz8e2PIZtn29DakwqKr9XGejHBJWqi1V48K0Hr//7ZMNJvDD5BSy/c7k5URo0tjZi6dalqKyrhMvlwq9n/xrjMseZlnVTWttbMaFiApo9zfB2eDE7dzZ+OO6HpmX5peZSDR55+xF8/uXnAICJsRMxLX6aYVX+kWsweHg7vBizbgzS49KxbdE203K0CNd545r3Gto72rEgfwHKJqslXEOFgBfPRwsexfe/9X088odHnNTTreQl5+HIk0cAfH0xpP8iHXOHzjUrSoPS7aWYnjsdbz3wFjxeD5rbmk1L8ktPd0/sKt6F9uZ2tHnbMOPNGZiSPQVj08aalnZTIiMisXLaSvz1P/+Klo4WlJ0rw+29bkd6VLppaTdFrsHgUf6XcuQn5+PytcumpWgTrvNGbFQs2rxtGF8xHjNum4E7M+40LY0S8J7nhKwJ6NO7j5NagsrO6p0Y3GcwshJDu4P6pdZL+OD0B1gyagkAIModhcReiWZFdYHL5UJsVCwAoK2jDW0dbXC5XIZV+SctLg2FaYUAgN4RvZHWIw2N3kazorpArsHgcPbyWbxz/B0sLVxqWoo2t8S84W2DC6E7b/zTGoY2VW7CwuELTcvokurGaqREp6BkSwlGrR2FpVuXosnTZFpWl3g7vPj2f3wbQ9YNwaSBkzCm/xjTkrS52H4RZzxnkNMzx7SUW5pwuQaXb1+On035GSJc4TNdhvO8UfBqAVJ/noqpOVNRlFFkWtJNCZphiG0gM5ME27RlphU7ZgCP14OtVVvx4j0vXo8x0wr7jmC0TLuR9o52HDp3CGtmrEFRRhFK3yvFSx++hB/f/WO66c1MCMx8w2DGrEDH2R3hxh/v+yMuey7jid1P4C/Vf0FeUh7VwsaeadE9DjtMmTkFs34/C6unr8Z3cr8DQN/kxEwXjIkTJ9qRGDDs2mKmC1YNx2nzDbsGGWzeYDFW/ccJOveURw8YjT2n9nTLd3QH/uYNlgcsn1nrRpYHTlbWcke4ceTJI2hsbcTc381FZV0lhqcOp2sAMwIxWG44YWgKnz+lHOS94++hMK0Q/WL7mZbSJRnxGciIz7j+F9iCYQtw6KtDhlXpEx8Vj3H9x2Fvrd7CYpI2bxuK3ynG/Xn3X184he4hXK7Bj858hK1VW5G9OhsPvfUQdlXvwsObHzYtq0vCfd5I7JWIydmTsf3EdtNSbso/5eK5sXJjWNwuAoD+sf2RmZCJqotVAL7eJxqWPMywKv9caLqAxtZGAF876PZ9uQ+DEwabFdUFPp8PS7YuwZA+Q/BU4VOm5dzyhMs1+OKUF3H2mbM4tfwUNi3YhLsH3Y0N8zaYltUl4T5vtLS1YMfJHRiaPNSsKD8EfNt24e8XYs+pPbjYfBEZv8hA2aQyLClc4qS2bqHJ04QdJ3dg7ay1pqVos2bGGizevBgerwc5STmomFNhWpJfzl09h+K3i9FyrQU+nw/3Zd+HezLvMS3LLx/VfITX//o6hvUdhm//x7cBAP/fv/x/mDYodB9XkWtQ8Ee4zhveDi86fB144PYHMGvILNOybkrAi+fG+Rud1BE0YqJiUP+DetMyLFHQvwAHlh0wLUObO/rdgcNPHNbupBMKjB84Hr4VvpAqJNAVcg0Gl0nZkzApe5JpGdqE67wRLrh8Pp/+i12uCwDU0jShQ5bP50u5MSCauwXRHBxEc3AQzcHhltDciaXFUxAEQRCEf1LDkCAIgiDYQRZPQRAEQbCIJcNQcnKyL9CHpb1erxI7ceKEEouLi1Ni/fqpz4K53W4ldvDgwYvfvD/NNF+5ckV5LzO3eDweJcaIjY1VYrm5uUrMjmZGTU2NEmPHxsY+MzNTiel2ebCjmcHygD0APXiw+rhLMDQ3N6s1QdnYX716VYn17dtXiemOk6lxTktLU2IDBgzQ+g5dzSwnv/zySyVWV1enxNh1xPLA1DizfPniiy+U2LBh6qMj7NgYuprZHPbZZ58pMXY+GL1791ZibK6LiopSYnbGmen79NNPtb6XjbMuTHMnlhbP7OxsHDgQmHuLuRhZZQpWSYJVxGAXi8vlUjaemWZWOYNVnGBtuxijR49WYqwqjR3NDDYu7NjY2K9cuVKJ6VZpsaOZwfJgy5YtSsyUZlaFh409qzA0a5ZqtdetlGRqnJctW6bEdCtr6WrWbW1VXl6uxNgfq6E0zixf2Njv3r1bien+MairWbd6l261niFDhigxNtexBdHOOLN80W0HF+h5BLjmTuS2rSAIgiBYRBZPQRAEQbCILJ6CIAiCYJGgdVVh+wBsj4jF2P6SHXTvlbPvZZ1MmGa2D2Cnkj/by2T7QcXFxUpMdw/G1DO/uvs8wYDtEbGxYvnCuqWYqrLE9vvY/ubIkSOVmJNdMm4Guz5YPq9YsUKJsXx5+umnlRi7ftl+n9Ow69zprjS6sLHSzWeWQ6zjDntdMLpPsX1apo/lvRNdeOSXpyAIgiBYRBZPQRAEQbCILJ6CIAiCYBFZPAVBEATBIt1iGGIPtOqafthGrtOGErY5zgw5bKOZFU5gJh075iAGKx7BzB66xRkY7Lw5PfZsnNevX+/od9iBGQ7Y2DOTBDvnplqc6RqVmHnElKmG5S4bZ3YNsnkjGCYdZiBkOcSOTbeAgR3Y9atbPKKsrEyJJSQkKDGnDZ0MXc0MJ8xBDPnlKQiCIAgWkcVTEARBECwii6cgCIIgWEQWT0EQBEGwiG3DEDNEMDMA20TX/TxTsM1xRjAMFgxWOYjFmEmHVWRx2sCg28VDl6ysrIDfqwszF7AYy1M2zmwM2Dg7bW5hBhWG08Y2Xdj4sXFh5qCKigolFozjYNcWq6Sja1AZNWqUEquurlZipqoTMXQ7XDmNrmGImSi7C/nlKQiCIAgWkcVTEARBECwii6cgCIIgWEQWT0EQBEGwSLcYhliMtRZiFSxCaXNcl1BqqcUMPromLKeNTyUlJVrfoVtFxtQ4M1MIy10Ga7PFzoedCioM3QpDzMhnqjKPrmZTBj2Wk6wtFoOZnBjMdGbK1MUMesFoP6Zbtck08stTEARBECwii6cgCIIgWEQWT0EQBEGwiCyegiAIgmAR24Yh3fZeDLYxHEqGIWZMYFWHWDUXU5v8DF2DBaugYsecoVutx2mzjNPo5iSrbsLywOkWTsxoo2tkYRWQWD473daJVddhhjCmjxlUdCsq2YGNATMCsXzeu3evEmP5YsoMxWBaWIUwp1sZsmtGt2VkMJFfnoIgCIJgEVk8BUEQBMEisngKgiAIgkVk8RQEQRAEi9g2DOnCNnyZqWHSpEndroVtcOtWPGGag1H5hmlmRpb169crscOHD2t9h6kKPsyYwKq5mIIZGFj1JFZ1yGmjDYOdt+LiYiXGcoNRWlqqxJw+DvZ5TDPLDdZOz2mzmy4sN5jJiV2r7L1Oa2ZzGJtjWQ7pVvVxupUh08LmZ2YYCmYlooAXz8e2PIZtn29DakwqKr9X6aSmbqG1vRUTKibgmvcaPG0ezM6djR+O+6FpWV1S/kk51h1aB6/Xi0eGP4J/G/VvpiV1SbjlBgBUXazCg289eP3fJxtO4oXJL2D5ncvNidKgsbURxe8U41j9Mbjgwpqpa/CttG+ZluWXVX9ehV8d/hVccGFEvxGomFOBXpG9TMvyi7fDizHrxiA9Lh3bFm0zLadLOue7Ky1X4O3wYkb2DDxdoP7REUqE27wR8G3bRwsexfaHtzuppVvp6e6JXcW7cPTJo/hg0QfYeXon/uvcf5mW5ZfKukqsO7QO+x/fj32L9+E/q/8TJxtPmpbVJeGWGwCQl5yHI08ewZEnj+DgsoOI7hGNuUPnmpbVJaXbS3FP1j3Y/8jXOZLXJ8+0JL/UXq7Fy/tfxoHHD6Dye5XwdnixqXKTaVldUv6XcuQn55uWoU3nfPfe7Pfwzux3sLd2Lw5f0LsDZYpwmzcCXjwnZE1An959nNTSrbhcLsRGxQIA2jra0NbRBpfLZViVf45dOIai9CJE94hGZEQk7kq/C3888UfTsrok3HLjm+ys3onBfQYjK1EtjB1KXGq9hA9Of4Dv3v5dAECUOwoJPdXnkEON9o52tLS3oL2jHc1tzRgQN8C0JL+cvXwW7xx/B0sLl5qWos2N8117RzvaO9oNK+qacJs3/qkMQ94OLwpeLcCQdUMwaeAkjOk/xrQkvwxPHY59Z/ahvrkezW3N2HFqB2qv1pqWdcuzqXITFg5faFpGl1Q3ViMlOgVP7XgKE347Af/+/r+jqa3JtCy/pMen49lxz2LgqoFIW5mGhF4JmDZ4mmlZflm+fTl+NuVniHCF13Tp7fBi5taZGPO7MRg/YDxGpaiFKYTACZphiG0Cswob3Yk7wo0jTx7Bf/z+P/BS1UsYfHUwsnp//etCt8UUqzDENrOdID8lH8/d9RymbZiGmB4xGJ0+Gj0je14fS1ZphZkumMmJmUJMVXfSrWQSjHZIHq8HW6u24sV7XvSrheVuMMxBN9Le0Y5D5w5hzYw1KMooQul7pXj101fx47t/TMeKGTtY5RvdFnaB0NDSgC1VW1BdWo3EXom4/837seGvG/DwHQ9TIwszB7H2ht1lDurcgxs9YDT2nNqj9R42froVn5zEHeHGu7PfxWXPZTyx+wlUNVQhLymP6mMGPdaSjLXYC4Yxi60fTB87ju4yk4XXn1IOERsZixGxI3D4SmjvAQDAksIlOLjsID4o+QBJvZMwpO8Q05Juad47/h4K0wrRL7afaSldkhGfgYz4DBRlFAEAFgxbgENfHTKsyj/vn3wfgxIHISUmBT3cPTAvfx4+rvnYtKyb8tGZj7C1aiuyV2fjobcewq7qXXh488OmZVkiPioe4/qPw95a9Q8lIXD+aRbPC00X0NjaCAC41nENR64cQXrPdLOiNKhrqgMAnLl0BpuPbcaiEYsMK7q12Vi5MSxu2QJA/9j+yEzIRNXFKgBf79UOSx5mWJV/BiYMxCe1n6C5rRk+nw87q3eGtBHnxSkv4uwzZ3Fq+SlsWrAJdw+6GxvmbTAtq0tunO9a21ux78t9GJww2KyoW4yAb9su/P1C7Dm1BxebLyLjFxkom1SGJYVLnNTmKOeunkPx28Xwdnhx6fIl3JV4F8YmjDUtq0vmvzEf9c316OHugVdmvoLEXommJXVJuOVGJ02eJuw4uQNrZ601LUWbNTPWYPHmxfB4PchJykHFHLVQeShRlFGEBfkLULi2EJERkRiVNgrLRi8zLeuWo3O+a7nWAp/Ph/uy78M9mfeYluWXcJs3Al48N87f6KSObueOfnfg8BNf36Y1XY3fCvtK9pmWYJlwy41OYqJiUP+DetMyLFHQvwAHlh0wLcMSZZPLUDZZz2MQSkzKnoRJ2ZNMy9Cic75j+9yhSrjNGy6fz6f/YpfrAoDQKf2ikuXz+VJuDIjmbkE0BwfRHBxEc3C4JTR3YmnxFARBEAThn8gwJAiCIAhOIYunIAiCIFhEFk9BEARBsIgsnoIgCIJgEVk8BUEQBMEisngKgiAIgkVk8RQEQRAEi8jiKQiCIAgWkcVTEARBECzy/wN+yLdPe3Vk5gAAAABJRU5ErkJggg==", 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", 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