From b010d2c053f470258d8d5eadf2c67dc33a2ed53e Mon Sep 17 00:00:00 2001 From: SamTov Date: Fri, 9 Jul 2021 09:54:09 +0200 Subject: [PATCH] Update docs --- docs/source/_theory/algebra.rst | 31 +++++- docs/source/_theory/mathematical_groups.rst | 10 +- docs/source/examples/SO_example.ipynb | 112 ++++++++++---------- examples/notebooks/SO_example.ipynb | 112 ++++++++++---------- 4 files changed, 147 insertions(+), 118 deletions(-) diff --git a/docs/source/_theory/algebra.rst b/docs/source/_theory/algebra.rst index 3149995..c4bd42c 100644 --- a/docs/source/_theory/algebra.rst +++ b/docs/source/_theory/algebra.rst @@ -9,4 +9,33 @@ arbitrary complexity, e.g. 2\cdot x + 1 = 5 -please solve for x. \ No newline at end of file +please solve for x. + +While this is in fact Algebra the concept goes far beyond replacing some numbers +with letters and torturing students for hours on end with systems of linear +equations. + +*More to come* + +Lie Algebra +^^^^^^^^^^^ +A type of algebra we will come across in this package quite a lot is known as +Lie algebra. A Lie algebra is vector space :math:`\mathcal{g}` together with an +operation referred to as the Lie bracket. This operation should be an alternating +bi-linear map (:math:`\mathcal{g} \circ \mathcal{g} \rightarrow \mathcal{g}`) +satisfying the Jacobi identity: + +.. math:: + + [X, [Y, X]] + [Y, [Z, X]] + [Z, [X, Y]] = 0. + +What this identity implies is that we can commute elements of the Lie algebra +[A, B] and generate either 0 or a new element C. C can take on two possibilities: + +1.) C is a linear combination of A and B +2.) C is a new element of the algebra. + +While there is the possibility that this commutation property can go on +indefinitely, typically a finite number of these elements are found. This is a +defining property of a Lie algebra. + diff --git a/docs/source/_theory/mathematical_groups.rst b/docs/source/_theory/mathematical_groups.rst index e6bfd1a..3eea362 100644 --- a/docs/source/_theory/mathematical_groups.rst +++ b/docs/source/_theory/mathematical_groups.rst @@ -2,9 +2,9 @@ Mathematical Groups =================== We will talk a lot about groups and Lie groups in the theory sections, so it is important to have some -background on what a group is and why they are interesting. The first step is understanding up the +background on what a group is and why they are interesting. The first step is understanding the notion of a *set*. Without getting into the details (and there are many details), a set is a collection of objects -which may or may not have a relationship to one another. The integers are a archetypal example of a *set* which we +which may or may not have a relationship to one another. The integers are an archetypal example of a *set* which we write as: .. math:: @@ -121,9 +121,9 @@ of the theory and if interested, you should go and see the :ref:`algebra` part o studying operations in physics, we will often come across certain symmetries. These can arise in all areas from classical mechanics and quantum mechanics through general relativity and string theory. These symmetries allow us to make some assumptions about what it is we are studying. If the operators we are studying appear to form a Lie group, -we can then use all the information and properties of Lie groups as mathematical tools to study our system. This is, -it a vastly simplified summary, the benefit of identifying and understanding Lie groups. On a mathematical level, the -benefits of Lie groups arise mostly in their underlying algebra, and so I will leave it to the algebra section to +we can then use all the information and properties of Lie groups as mathematical tools to study our system. +This is -- in a vastly simplified summary -- the benefit of identifying and understanding Lie groups. On a mathematical level, the +benefits of Lie groups arise mostly in their underlying algebra and so I will leave it to the algebra section to outline these. References diff --git a/docs/source/examples/SO_example.ipynb b/docs/source/examples/SO_example.ipynb index 0c11b81..8d02ffe 100644 --- a/docs/source/examples/SO_example.ipynb +++ b/docs/source/examples/SO_example.ipynb @@ -59,7 +59,7 @@ "metadata": {}, "outputs": [], "source": [ - "circle.load_data(100)\n", + "circle.load_data(500)\n", "sphere.load_data(1000)" ] }, @@ -77,7 +77,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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\n", 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\n", 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" ] @@ -174,7 +174,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "Producing generator candidates: 100%|█████████████████████████████████| 5/5 [00:12<00:00, 2.44s/it]" + "Producing generator candidates: 100%|█████████████████████████████████| 5/5 [05:01<00:00, 60.35s/it]" ] }, { @@ -182,23 +182,23 @@ "output_type": "stream", "text": [ "Principle Component 1: Explained Variance: 1.0\n", - "[[-0.00988949 1.02525676]\n", - " [-0.97377332 -0.02272221]]\n", + "[[-0.00394716 -1.00563269]\n", + " [ 0.99432246 0.00318606]]\n", "\n", "\n", - "Principle Component 2: Explained Variance: 9.400275030283838e-36\n", - "[[-0.31742967 0.79510964]\n", - " [ 0.85738922 -0.72933037]]\n", + "Principle Component 2: Explained Variance: 1.3757697081439634e-36\n", + "[[-0.6030852 -0.85736421]\n", + " [-0.87072257 0.37822883]]\n", "\n", "\n", - "Principle Component 3: Explained Variance: 1.6824503570218127e-68\n", - "[[1.28310461 0.37054741]\n", - " [0.37054741 0.28112596]]\n", + "Principle Component 3: Explained Variance: 3.6551465466088217e-38\n", + "[[0.16740142 0.24032105]\n", + " [0.23935278 1.36269322]]\n", "\n", "\n", - "Principle Component 4: Explained Variance: 0.0\n", - "[[-0.50277547 0.42349009]\n", - " [ 0.42349009 1.17835865]]\n", + "Principle Component 4: Explained Variance: 1.2289433030919476e-70\n", + "[[-1.26816774e+00 4.42578002e-01]\n", + " [ 4.42578002e-01 1.00352521e-14]]\n", "\n", "\n" ] @@ -212,7 +212,7 @@ }, { "data": { - "image/png": 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Mn1DKP8/YF0lJRzKzRi7jXUMRUQaMrKMsBrRv1YxzjxzCKwtXMWnGu0nHMbM8kM3to69LeljStySdUP7KebI89o29ejOs+w78evJs1m0sSzqOmTVy2RSClsBKUg+RjU2/js1lqHxXkB7WctnqddzybF49X2dmCcjm9tFT6yKIfd6+AzozZpfu3PTMfL5W3IseHVolHcnMGqlsOp1rKelMSX+SdFv5qy7C5bsLjh5KBFz96Oyko5hZI5bNqaE7gR2Bo4BnSHUe564y60DvTq0546AB/N/r71CycFXSccyskcqmEAyMiEuATyPi78AYvjiugOXIDw/ZiR13aMm4CaVs2eLeSc2s9m1Lp3OrJe0MtAfyYkjJ+qB186ZccPRQZixbw/2vLk06jpk1QtkUglskdQQuIdWNdClwdU5T2ed8afce7NGnA795dA4fr/ewlmZWuzL1NVQq6WJgakR8mB6LYEBEdI2IP9dhxrwnicvGDueDTzbwx6nzk45jZo1MpiOCk4A2wGOSXpH0U0nd6yiXVbJb7w58dc9e/O3fC1n4wadJxzGzRqTaQhARb0TEhRGxE/BjoA/wsqSpkn5QZwntM+cfNYRmBeLKybO2vrKZWZayuUZARLwUET8Fvg10AP6Yy1BWta47tOTMQwfyeOn7PDdvRdJxzKyRyOaBsr0kXSdpEfBL4M9Aj1wHs6p9b2R/+nRqzfgJpWwu87CWZlZzmS4W/0rSW8CfgGXAyIg4JCJuzsdxheuLls0KuGjMMOYt/4S7Xl6cdBwzawQy9TW0HhgdEfPqKoxl58iibowc2JnrHp/Lcbv1oGOb5klHMrMGLNPF4vEuAvWTJC49djgfr9/E9U/MTTqOmTVwWV0stvpnyI7tOHmfvvzvy4uZ8567fjKz7edC0ID97IjBtG3RlPETZxLhfojMbPtUe41A0h6ZNoyIV2s/jm2Ljm2a89PDB/HLCaU8Xvo+Rw7fMelIZtYAZbpYfG36Z0ugGHgDELArUALsl9tolo2T9+3LXS8v5srJszh4SCEtmhYkHcnMGphMF4tHRcQo4F1gj4gojog9gRGkbie1eqBZQRMuHVvEopVr+dvzC5OOY2YNUDbXCIZExIzyiYj4DzAsd5FsWx04qJDDh3Xlhifnsfzj9UnHMbMGJptC8KakWyUdkn79BXgzm8YljZY0R9J8SRdkWO8rkkJScbbB7fMuGlPExrItXPPonKSjmFkDk00hOBWYCfwk/SpNz8tIUgFwI3A0UAScJKmoivXapdt9OfvYVln/Lm343sj+3Dd9KW8sWZ10HDNrQLZaCCJiPXAzcEFEfDkifpeetzV7A/MjYkFEbATuAb5UxXqXkxroxuc0auisQwfSpW1zxk8s9e2kZpa1bDqdOw54HXg0Pb27pIezaLsnsKTC9NL0vIpt7wH0johJW8lwuqQSSSUrVrjXzeq0a9mM848ayvRFH/LwG+8kHcfMGohsTg1dRurb/WqAiHgd6F/TD5bUBLgOOHdr60bELem7looLCwtr+tGN2lf37MXOPXfgqkdms3bj5qTjmFkDkNXg9RGxptK8bM47LAN6V5juxedvO20H7Aw8LWkhsC/wsC8Y10yTJqlhLd9ds56bn1mQdBwzawCyKQQzJX0TKJA0SNINwAtZbDcNGCSpv6TmwInAZ6eUImJNRHSJiH4R0Q94CTguIkq2/dewivbq14mxu/Xgz8+8xdIP1yYdx8zquWwKwdnAcGADcDfwEXDO1jaKiM3AWcAUYBZwb0TMlDQ+fd3BcuiCo4ciwa8fmZ10FDOr59TQ7i4pLi6OkhIfNGTj+ifmcv0T87j3jP3Yu3+npOOYWYIkTY+IKk+9Z3PX0GBJt0h6TNJT5a/aj2m17YyDdqJH+5aMmzCTsi0Nq+CbWd3J5tTQfcBrwMXAeRVeVs+1al7ABccMY+Y7H3FfyZKtb2BmeSmbQrA5Im6KiFciYnr5K+fJrFaM3bU7xX07cs2UOXy0flPSccysHsqmEEyQ9D+SukvqVP7KeTKrFVLqdtJVazdyw5MeedTMvijTeATlvpP+WfF0UAADaj+O5cIuvdrz9T17c/sLCzlp7z4MKGybdCQzq0ey6WuofxUvF4EG5udHDaFF0wKunDQr6ShmVs9kGqry0Ih4StIJVS2PiAdzF8tqW2G7Fpx96EB+/chsnp6znEOGdE06kpnVE5lODR0MPAWMrWJZAC4EDcx3R/bj7lcWc/nEUkYO7EKzgmwuEZlZY1dtIYiIy9I/tzr2gDUMLZoWcPGYIr5/Rwl3vriI7x1Q474DzawRyOZiMZLGkOpmomX5vIgYn6tQljuHDevKgYO6cP0Tczl+RE86tWmedCQzS1g2TxbfDHyDVJ9DAr4G9M1xLssRSVx6bBGfbizjusc9rKWZZfccwf4R8W3gw4gYB+wHDM5tLMulQd3a8a19+/KPlxcz692Pko5jZgnLphCsS/9cK6kHsAnonrtIVhfOOXwQO7RqxvgJHtbSLN9lUwgmSuoAXAO8Ciwk1R21NWAdWjfn3CMG8+KClUyZ+V7SccwsQdk8UHZ5RKyOiAdIXRsYGhGX5D6a5dpJe/dhSLd2XDFpFus3lSUdx8wSkumBsiofJEsv8wNljUDTgiZcOraIk299mb/++23OHDUw6UhmloBMt49W9SBZOT9Q1kiMHNiFo4Z348ap8/nqnr3otkPLrW9kZo1KpgfK/CBZnrjomCIOv+4Zrn50Ntd9ffek45hZHcvmOYLOkv4g6VVJ0yX9XlLnughndaNP59acdmB/Hnx1Ga8t/jDpOGZWx7K5a+geYAXwFeCr6ff/zGUoq3tnjhpIYbsWjJtQyhYPa2mWV7IpBN3Tdw69nX5dAXTLdTCrW21bNOUXo4fy+pLV/N8by5KOY2Z1KJtC8JikEyU1Sb++DkzJdTCreyeM6Mluvdpz1SOz+XTD5qTjmFkdyaYQ/AD4B7Ah/boHOEPSx5LcP0Ej0qSJuHTscN7/aAM3Pf1W0nHMrI5k80BZu4hoEhHN0q8m6XntImKHughpdWfPvh05fvce3PLcApasWpt0HDOrA9ncNXRapekCSZflLpIl7RdHD6VA4leTPaylWT7I5tTQYZImS+ouaWfgJaBdjnNZgrq3b8X/HLITj/znPV58a2XSccwsx7I5NfRN4O/ADGAScE5E/DzXwSxZPzhoAD07tGLchJmU+XZSs0Ytm1NDg4CfAA8Ai4BvSWqdTeOSRkuaI2m+pAuqWP4zSaWS3pT0pCQPeFNPtGxWwEVjhjH7vY+5Z9ripOOYWQ5lc2poAnBJRJxBakD7ecC0rW0kqQC4ETgaKAJOklRUabXXgOKI2BW4H/jNNmS3HDt65x3Zu38nfjtlDmvWbko6jpnlSDaFYO+IeBIgUq4FvpzNdsD8iFgQERtJ3Xb6pYorRMTUiCi/NeUloFf20S3XJHHZ2CJWr9vE75+cl3QcM8uRaguBpPMBIuIjSV+rtPi7WbTdE1hSYXppel51TgMeqSbL6ZJKJJWsWLEii4+22jK8R3tO3KsPd7y4kPnLP0k6jpnlQKYjghMrvL+w0rLRtRlC0ilAMalR0L4gIm6JiOKIKC4sLKzNj7Ys/PzIwbRqXsAVk0qTjmJmOZCpEKia91VNV2UZ0LvCdK/0vM83JB0OXAQcFxEbsmjX6ljnti34yWGDeHrOCqbOXp50HDOrZZkKQVTzvqrpqkwDBknqL6k5qSOMhyuuIGkE8GdSRcB/Yeqxb+/XjwFd2nD5xFI2bt6SdBwzq0WZCsFukj6S9DGwa/p9+fQuW2s4IjYDZ5HqoG4WcG9EzJQ0XtJx6dWuAdoC90l6XdLD1TRnCWvetAmXHFvEgg8+5Y4XFyYdx8xqUaYRygpq2nhETAYmV5p3aYX3h9f0M6zujBralUOGFPL7J+Zx/IiedGnbIulIZlYLsrl91OwzF48pYt2mMq59bE7SUcyslrgQ2DYZ2LUt39m/H/dMW8LMd9YkHcfMaoELgW2zHx82iI6tmzNuQikR7ofIrKFzIbBt1r5VM849cjCvvL2KyTPeSzqOmdWQC4FtlxP36sPQHdvxq8mzWL+pLOk4ZlYDLgS2XQqaiMvGDmfZ6nXc8uyCpOOYWQ24ENh222+nzhyzy47c9PRbvLtmXdJxzGw7uRBYjVx49DDKIrj6kdlJRzGz7eRCYDXSu1NrTj9wAA+9/g7TF61KOo6ZbQcXAquxHx2yE912aMG4CaVs8bCWZg2OC4HVWJsWTbng6KG8uXQND7y6NOk4ZraNXAisVnxpt56M6NOB30yZwycbNicdx8y2gQuB1Yom6dtJV3y8gRunzk86jpltAxcCqzW79+7AV/boxV+fe5tFKz9NOo6ZZcmFwGrV+aOH0LRAXDlpVtJRzCxLLgRWq7rt0JIzRw3ksdL3+fe8D5KOY2ZZcCGwWnfaAf3p3akV4yfOZHOZh7U0q+9cCKzWtWxWwEXHFDH3/U+4+5XFSccxs61wIbCcOGp4N/bfqTPXPj6X1Ws3Jh3HzDJwIbCckMSlY4v4aN0mrn9iXtJxzCwDFwLLmaE77sA39+nDnS8tYu77Hycdx8yq4UJgOfWzI4bQpnkBl0/0sJZm9ZULgeVUpzbN+ekRg3lu3gc8OWt50nHMrAouBJZzp+zbl4Fd23LFpFI2bPawlmb1jQuB5VyzgiZccmwRC1eu5fbnFyYdx8wqcSGwOnHw4EIOG9qVG56az/KP1ycdx8wqcCGwOnPRmGFs2FzGb6fMSTqKmVXgQmB1ZkBhW04d2Z/7pi9lxtI1Sccxs7SmuWxc0mjg90ABcGtEXFVpeQvgDmBPYCXwjYhYmMtMlqyzDh3IP15exFdueoFNZVvo0aEV5x01hONH9Ew6mlXw0GvLuGbKHN5Zvc77qB6q7f2Ts0IgqQC4ETgCWApMk/RwRJRWWO004MOIGCjpROBq4Bu5ymTJe2rWcjZs3sKmstQzBctWr+OCB99k7cbNHLNL94TTGcDkGe8yfmIp6zelOgz0Pqpfqto/Fz44A2C7i4Fy9ZCPpP2AX0bEUenpCwEi4tcV1pmSXudFSU2B94DCyBCquLg4SkpKcpLZcm/kVU+xbPW6pGOYNTo9O7Ti+QsOrXa5pOkRUVzVslyeGuoJLKkwvRTYp7p1ImKzpDVAZ+BzHdlLOh04HaBPnz65ymt14J0MReCysUV1mMSqM25CabXLvI+SV93+yfT/1tbk9BpBbYmIW4BbIHVEkHAcq4EeHVpVeUTQs0MrTh3ZP4FEVtmtz73tfVSPVbd/enRotd1t5vKuoWVA7wrTvdLzqlwnfWqoPamLxtZInXfUEFo1K/jcvFbNCjjvqCEJJbLKvI/qt1zsn1weEUwDBknqT+oP/onANyut8zDwHeBF4KvAU5muD1jDV34xy3ek1F/eR/VbLvZPzi4WA0g6Brie1O2jt0XElZLGAyUR8bCklsCdwAhgFXBiRCzI1KYvFpuZbbukLhYTEZOByZXmXVrh/Xrga7nMYGZmmfnJYjOzPOdCYGaW51wIzMzynAuBmVmecyEwM8tzLgRmZnnOhcDMLM+5EJiZ5TkXAjOzPOdCYGaW51wIzMzynAuBmVmey2nvo7kgaQWwKMvVu1BptDOrV7x/6j/vo/ptW/ZP34gorGpBgysE20JSSXXdrlryvH/qP++j+q229o9PDZmZ5TkXAjOzPNfYC8EtSQewjLx/6j/vo/qtVvZPo75GYGZmW9fYjwjMzGwrXAjMzPJcoysEkm6TtFzSf5LOYlWT1FvSVEmlkmZK+knSmey/JLWU9IqkN9L7Z1zSmaxqkgokvSZpYk3aaXSFALgdGJ10CMtoM3BuRBQB+wJnSipKOJP91wbg0IjYDdgdGC1p32QjWTV+AsyqaSONrhBExLPAqqRzWPUi4t2IeDX9/mNS/yH3TDaVlYuUT9KTzdIv31VSz0jqBYwBbq1pW42uEFjDIqkfMAJ4OeEoVkH6lMPrwHLg8Yjw/ql/rgfOB7bUtCEXAkuMpLbAA8A5EfFR0nnsvyKiLCJ2B3oBe0vaOeFIVoGkY4HlETG9NtpzIbBESGpGqgjcFREPJp3HqhYRq4Gp+LpbfTMSOE7SQuAe4FBJ/7u9jbkQWJ2TJOCvwKyIuC7pPPZ5kgoldUi/bwUcAcxONJR9TkRcGBG9IqIfcCLwVEScsr3tNbpCIOlu4EVgiKSlkk5LOpN9wUjgW6S+xbyefh2TdCj7THdgqqQ3gWmkrhHU6PZEq9/cxYSZWZ5rdEcEZma2bVwIzMzynAuBmVmecyEwM8tzLgRmZnnOhcASJSkkXVth+ueSfrmdbR0iaU36dtRZki6rsGxvSc9KmpPurfFWSa0rLH9I0ktbaf9oSSXpXlNfq5i7oZJ0TsV/B8tPLgSWtA3ACZK61FJ7z6W7RigGTpG0h6RuwH3ALyJiSESMAB4F2gGkH57aE2gvaUBVjaa7WPgjcEq619RiYH4tZU7SOYALQZ5zIbCkbSY17upPKy+Q1E/SU5LelPSkpD7ZNhoRnwLTgYHAmcDfI+LFCsvvj4j305MnABNIPap/YjVNng9cGRGz09uXRcRNmXJKul3STZJekrQgfcRyW/po5fYKv+cnkn6X7vv/SUmF6fm7p7d9U9K/JHVMz39a0tXpMQPmSjowPb9A0jWSpqW3OSM9/5D0NvdLmi3pLqX8GOhB6uGxqentb5f0H0kzJH1hn1jj5EJg9cGNwMmS2leafwOpP+C7AncBf8i2QUmdSY11MBPYmVRRqM5JwN3p10nVrJOpjUw5OwL7kSp0DwO/A4YDu0jaPb1OG6AkIoYDzwDlp7TuIHUUsyswo8J8gKYRsTepb/Tl808D1kTEXsBewA8k9U8vG5FetwgYAIyMiD8A7wCjImIUqbEHekbEzhGxC/C3an5fa2RcCCxx6Z5H7wB+XGnRfsA/0u/vBA7IorkDJb0GPAZcFREzM62cPm00CPh3RMwFNm1HT5uZck6I1OP7M4D3I2JGRGwhVaD6pdfZAvwz/f5/gQPSRbFDRDyTnv934KAK7ZZ31De9QjtHAt9Odx/9MtA5/bsBvBIRS9Of/XqFbSpaAAyQdIOk0YB7hM0TLgRWX1xP6httmxq281xEjIiIPSPi5vS8maSuAVTl66S+tb+d7smxH1UfFWRqI5MN6Z9bKrwvn25azTbZ9PtS3lZZhXYEnB0Ru6df/SPisUrrV97mvx8a8SGwG/A08ENqYcATaxhcCKxeiIhVwL2kikG5F/jvOfuTgee2s/k/At+RtE/5DEknpI8GTgJGR0S/dE+Oe1L1dYJrgP8naXB6+yaSflhLOZsAX02//yapo5M1wIfl5/9JddL3TFUbVzAF+FG6i28kDZa0tcL6Mf+9aN4FaBIRDwAXA3ts4+9hDVR130jMknAtcFaF6bOBv0k6D1gBnApQ/ge4wjf+jCLifUknAr+V1JXUt/FnSXWt3Bd4qcK6b6dvQd2n4qhcEfGmpHOAu9O3WwZQ3iNnlTm3waekBn+5mNSIYN9Iz/8OcHP68xZk0e6tpI5oXpWkdJbjt7LNLcCjkt4hdQ3hb5LKvyBeuG2/hjVU7n3ULGGSPomItknnsPzlU0NmZnnORwRmZnnORwRmZnnOhcDMLM+5EJiZ5TkXAjOzPOdCYGaW5/4/vdyQOXm9We8AAAAASUVORK5CYII=\n", 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\n", 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" ] @@ -242,72 +242,72 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "Producing generator candidates: 100%|██████████████████████████████| 20/20 [41:28<00:00, 124.45s/it]" + "Producing generator candidates: 100%|██████████████████████████████| 20/20 [39:25<00:00, 118.29s/it]" ] }, { "name": "stdout", "output_type": "stream", "text": [ - "Principle Component 1: Explained Variance: 0.5642590201738314\n", - "[[ 6.18070516e-04 -8.75785275e-02 8.76973913e-01]\n", - " [ 1.51448435e-01 2.07168005e-02 8.21324143e-01]\n", - " [-9.29131072e-01 -8.13509834e-01 1.49804056e-02]]\n", + "Principle Component 1: Explained Variance: 0.46671539974762427\n", + "[[ 0.05844208 -0.32381881 0.62057826]\n", + " [ 0.28774448 -0.02250414 -1.03720561]\n", + " [-0.58151916 1.00458252 0.01261541]]\n", "\n", "\n", - "Principle Component 2: Explained Variance: 0.2788839544196798\n", - "[[ 0.02057035 0.7544479 -0.61498106]\n", - " [-0.71249835 -0.03825055 0.77952334]\n", - " [ 0.59097218 -0.76540708 0.01771293]]\n", + "Principle Component 2: Explained Variance: 0.3661267379481377\n", + "[[ 0.01377112 -0.21760786 -1.04643506]\n", + " [ 0.24085093 -0.02704169 -0.54790929]\n", + " [ 1.08442963 0.5678619 0.00557409]]\n", "\n", "\n", - "Principle Component 3: Explained Variance: 0.15324042600653215\n", - "[[-0.01319797 -1.00286466 -0.60782321]\n", - " [ 0.94153788 -0.00117608 0.48559 ]\n", - " [ 0.52268631 -0.47866973 0.00457542]]\n", + "Principle Component 3: Explained Variance: 0.16367819938563596\n", + "[[-0.00900815 1.14664787 -0.07380354]\n", + " [-1.17862591 0.01075561 -0.35990301]\n", + " [ 0.03008574 0.39905439 0.02675986]]\n", "\n", "\n", - "Principle Component 4: Explained Variance: 0.00186738431043254\n", - "[[ 0.34694576 0.26186132 -0.40482218]\n", - " [ 0.27606556 -0.74197705 -0.97513116]\n", - " [-0.41562889 -0.94319092 -0.08483451]]\n", + "Principle Component 4: Explained Variance: 0.0019987866414263628\n", + "[[-0.17531942 0.95499605 -0.72271103]\n", + " [ 0.97772672 0.02657505 0.05269328]\n", + " [-0.74880255 0.10521146 0.06105195]]\n", "\n", "\n", - "Principle Component 5: Explained Variance: 0.0008884608101736901\n", - "[[ 0.38515652 -0.92251311 -0.66896582]\n", - " [-1.00469092 0.14032397 0.03876601]\n", - " [-0.71660663 0.05110934 -0.07983769]]\n", + "Principle Component 5: Explained Variance: 0.0008879535857574221\n", + "[[ 0.73828142 0.51982124 0.51438996]\n", + " [ 0.4450838 -1.17974628 -0.15465756]\n", + " [ 0.49909809 -0.21904251 0.09607828]]\n", "\n", "\n", - "Principle Component 6: Explained Variance: 0.0004886498609081997\n", - "[[ 0.8794788 -0.37516122 0.66133177]\n", - " [-0.32704131 -1.040945 0.21021753]\n", - " [ 0.61952682 0.17074918 -0.02699441]]\n", + "Principle Component 6: Explained Variance: 0.0002806185888669158\n", + "[[-0.03988915 0.21619255 0.15018774]\n", + " [ 0.18116085 0.6416449 -1.10590239]\n", + " [ 0.17993401 -1.09788315 0.15440886]]\n", "\n", "\n", - "Principle Component 7: Explained Variance: 0.0002302582235060851\n", - "[[ 1.2618087 0.54994524 -0.37259137]\n", - " [ 0.57961492 0.39329502 0.37124407]\n", - " [-0.34502854 0.42321165 -0.19991331]]\n", + "Principle Component 7: Explained Variance: 0.00023051641457079604\n", + "[[ 0.54214099 -0.54510292 -0.82754125]\n", + " [-0.52557848 -0.64373052 -0.37601348]\n", + " [-0.79104147 -0.4099838 0.31349681]]\n", "\n", "\n", - "Principle Component 8: Explained Variance: 0.0001321324730282438\n", - "[[-0.57144583 0.2324958 -0.53734147]\n", - " [ 0.23092662 -1.09070523 0.58931408]\n", - " [-0.56409889 0.64976438 0.00145281]]\n", + "Principle Component 8: Explained Variance: 7.545114250391106e-05\n", + "[[-1.45655983 -0.08268353 0.04563956]\n", + " [-0.07316153 -0.86646382 -0.24725111]\n", + " [ 0.02532708 -0.2102651 0.08611501]]\n", "\n", "\n", - "Principle Component 9: Explained Variance: 9.71372190806117e-06\n", - "[[-1.96190976e-01 -2.36441406e-02 8.33655721e-02]\n", - " [-3.26080744e-02 -4.31339686e-04 1.68562104e-02]\n", - " [ 8.32356895e-02 -2.34656972e-02 -1.71615087e+00]]\n", + "Principle Component 9: Explained Variance: 6.3365454765386406e-06\n", + "[[-0.05867582 0.00650376 0.13430265]\n", + " [ 0.03976397 0.17112102 0.20551123]\n", + " [ 0.12796177 0.18002171 1.69014709]]\n", "\n", "\n" ] @@ -321,7 +321,7 @@ }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -358,7 +358,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.5" + "version": "3.8.10" } }, "nbformat": 4, diff --git a/examples/notebooks/SO_example.ipynb b/examples/notebooks/SO_example.ipynb index ee87326..8d02ffe 100644 --- a/examples/notebooks/SO_example.ipynb +++ b/examples/notebooks/SO_example.ipynb @@ -59,7 +59,7 @@ "metadata": {}, "outputs": [], "source": [ - "circle.load_data(100)\n", + "circle.load_data(500)\n", "sphere.load_data(1000)" ] }, @@ -77,7 +77,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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\n", + "image/png": 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gwIE8++yzpKamsnHjRoYMGcL48eOZN28eZWVl+Pr6Mm3aNHr37t2t626r+daScGKxWETt+WLV5y+mJ+9KNNXY2IijoyPR0dFER0efz9MHAIUt/l/0n5/9bxl5d2rfOp2O5ORkPDw8xMzvjnAuRi41JhiNRmJiYi7YA5WZmcnu3bsB2LlzJ3K5nGeffZZBgwYRFRVFYmIiQ4cOxWw2s2LFCsxmM7Nnz8bOzo7i4mL+9a9/odVqKS4upqmpid27dxMXF0djYyPNzc0sW7YMvV6PVqtFLpfT3Nx8xlq+TqejqKiIwMDAVmF5dXU1tbW1hIWFnUY4aVl7zs7Oprm5mby8PGH0F+LedUUR9nyeq7OFSzLySwWXlJF3tfYNpws7dIazNfK6ujpSU1NRq9X07dv3gj1MJpOJzz77DIvFQmZmJmq1mtzcXF577TU+/fRTrr/+egoLC3FycuK9995j+fLlyGQy9u7dyxdffMHhw4epqqoiLy+PiooKlEolFouFlJQUTCYTTU1NouwI4OjoSEBAABkZGRw9epSSkhLGjh0rvHpFRQUvvfQSGo0GZ2dnnn/+ecLCwigrK+OVV15Bq9UyY8YMbrrpplafo2Xt2Wg0kpSUhK2tLSUlJaI/XNrPn69W0YvpyaHzpGhTUxMODg4X4tTFQFCL/wf+52dnxCVh5G1r3x0ZuFSaOHnyJE1NTd3KanfXyCUSTWlpKdHR0SQnJ5/Tw5SamsrOnTsZM2YMUVFR4ufNzc3s2bOHb775hpMnT9KvXz9CQkKoqanBxcUFBwcHPvvsM37++WcMBgPr16/H1dVVdEAdOXKEOXPm0NDQIPbKKpUKg8GATCajqalJjBlueX+tVislJSU8/PDDVFVV0b9/f+Lj4/n3v/9NSkoKd9xxBxUVFaLDqqysjKVLl1JSUiKSbykpKYwZMwYHB4d22V1WqxWFQnEaKadlq6jUNebu7n7WPIaLbeSdQavVXigj/x14RCaT/cyphFt9Z/txuASMvKuyTAqFgsbGRlJTU/H19aV///7d8gJyubyVJzsTpN5vlUpFbGysaB8822yxwWDgzTffxGq1snXrVgIDA3FwcOCmm27i22+/Ze/evVRXV6NWqykrKyMiIoJJkyaxefNm4FTobjAYxELo5eWFTCYTC8GJEycYOHCgGMiYlpaGSqXCZDKhUqkwm808+uij/Prrr1RVVdHY2IhcLqeyspK6ujqMRiPJycnY2dlRU1PDZ599Rl1dHc3NzVgsFkJCQjAYDBQXFxMfH49CoUChUBAYGMjLL7+MTCbj4YcfZsiQIa0+d9vQtr2MtEajEZwGiZQjleu6Ssq51Iz8bMN1mUz2EzAO8JTJZEXAa4AKwGq1fg1s4lT5LItTJbS7unLcv9XIu1r7hlO128TERAYNGoSLi0u3zyU1qHQGjUZDcnJyq95v+K8i6NlAo9GQkZGBTqdDqVSSnp4uElWFhYXY2dnR3NyMyWQiMzOT6upqtm/fzs8//4xOp+Pxxx+nsbGRuro6HBwcUCqVvPLKK+zduxc7Ozu2bdtGYmIiDzzwAAsWLGDKlClUVVWJPEJwcDCFhYXs2bOHLVu28MYbb1BeXi5aJi0WCyaTifj4eO68806qq6uFrp1EhvHx8eGzzz5Dr9dTWVlJVVUVcXFx9OnTh8TERPLz83n11VcZPXq0+Nyd7V9lMlmrrrGWDST5+fldJuVcakZ+ts0pVqv1lk5+bwUe7u5x/xYjP9NIoraQhB2MRiOxsbFnndCQeMdnQlFREQUFBe0OLzyXnvL9+/dTV1eHTqcjKCiI/Px8zGYzf/zxBwMGDMDb2xuVSoVKpSIjIwOLxUJ9fT2NjY2Eh4czdepUsrOzycnJEYvB0KFD6d27NwsWLKCmpgY7OzsWLVrExo0bqauro6mpSYTsGo2GUaNG4eDggE6no7KyEpPJRFRUFNdddx3vv/8+TU1NWCwWjh07hr29Pba2tqI8Fh4eTmFhIRkZGSgUCpRKJXq9XmTW5XI5dnZ2pKWldcvI26I9Uk7LkctqtVrs51uSclrqBFxIdLVUdyl1oMHfYORd1TyHUx4wJSWFwMBAsSCcLc7kiVv2fnfUgtrVPX1WVhYbNmygd+/eTJs2TbzPbDajUqmIjIykvLyciooK0ZL41VdfYbVaycvLY/PmzRw8eJCZM2ditVr5/vvvWbRoEXK5nClTptDU1MSwYcPYtm0bb775ptiba7VaAEpKSk773F5eXgwfPpykpCTef/99EcaXl5fT2NgoPq8kfuDi4oKPjw9yuZybb74ZhULB559/TlNTEyqViuDgYIqLi4VRSou2xWIRQw5aHu9sPW1bLnlbvTeJYabX68+5pNkVdJWMJF3bpYKLauTdoaa2FXaoq6s7Jx0vKSxti5a934GBgWdUA+3MyA8fPszcuXOprq5GoVAwb9483njjDS6//HJSU1ORy+XcdNNNHDt2jJqaGmxsbDAajbi7uxMUFISPjw9vvfUWtbW1/PDDD4wZM4a6ujpUKpW4d3feeScKhYKZM2e2GgjYEaxWK8ePHxclRimiUavVjBo1ioaGBlxcXGhsbBSChmq1GgcHB5ydnUlPTycuLo6mpiYUCgU2NjZUVVWJaoO3tzd2dnaUlpayYsUK1q5dy/Lly/H392f9+vWsXLmSYcOG8fLLL59zg1BbkUcp0VhVVUVlZSU1NTUdzmQ7H+hqxNDU1ERgYOB5P//Z4qIYeXdq3yaTidTUVBQKRSuvqlAozsnI2/PEZWVl5OTkdKn3u2XiTdIT8/Lyon///uI1P/74I1VVVWg0GmQyGatWraKmpoYJEyawbt06lEolP//8s6gtWywW1Go1t956K2+++SaDBg0iPz8fg8FAfX09d999t9iXWq1WwsPDiY2NRa/X4+vrS11dXatr7GxLIXlcgNjYWO644w4KCws5fvy4SLR5eXmh1+sJCAhg//79HDhwQLSm2tjY4ODgQFVVFUqlEqPRyKOPPgrAhx9+KJJ9Op0OgK1bt+Lu7k5GRgaFhYXdIt10hpakHEnmSaVSUVNTQ3FxcStSjqur63kJ5ztiu7XFBSyhnRUueLbCarVSVlYmNK3PFHLX19cL44mMjGwVNp8rY63l+y0WCydOnKC0tJTY2NguiTu0fP/ixYv56KOPeOGFFzh06BBWq5WdO3eyb98+GhsbxefWaDRkZmayePFifvzxR9auXYuvry9KpRJHR0dmzpwpPM7u3bvx8PDA3d1dZK+lfXV2djZNTU0sX76cwsJCbGxs+Pe//02vXr3EQ+ft7Y2Xl1eXw+K8vDycnJy4+eabCQwMRKlUYmtri7OzMxMnThSLmoeHB2azGa1Wi0KhwNPTUyTqSktLef/997Gzs2P8+PGEhITw1FNPER4eDsCECROora0lNDT0gno2ycO6uLgQGhrK0KFDGTJkCG5ubtTU1JCQkEBCQgK5ubnU19ef9XPUnXD9/82eXBpJlJuby4ABAzoUUmipRx4VFdXuKni+PLnU++3t7d2tMlxLL5mTk0N5eTnFxcU8/PDDzJkzh7i4OMxms9iKSCWm8vJyampqiI+Px93dHS8vLwYPHoytrS0ODg74+fmh1Wrp27cvL7/8Mi+99BIbNmzA19eXxMRE0tPTUSqVIhSV6tHR0dEMHTpUZKF1Oh0LFy5k7ty5Xfo80nVarVYuu+wyjhw5go2NDQsXLmTo0KHU19dz3333kZiY2Er2WK1W4+HhgZOTE2q1mtraWt544w0KCwuFoUmYMWMGffr0Yc+ePTz55JM89dRT9OnTp3tfXBfQ3p5fqVTi4eGBh4cH8N/e8JakHKk+31VSTndUYf7xRt42PJfYV+1BEnaws7Nj+PDhHXqijvbUXYVcLken05GQkHBWvd8tPbnEIGtubsbd3Z2lS5fi6+tLUVGRIJ64uLgQHh5OdXV1K09oMplQKpWYzWaCg4N54403aGxsZNKkSZhMJnbs2MGOHTuor6/HYDDwyiuvkJKSgsVi4c033+S1115j//79TJs2jYcffpitW7ei1WrR6/W88847REVFkZSUJB789hZG6V6+/vrrlJSUMGLECK655homTZrE22+/TUNDAwsWLGDOnDmEhISQk5ODSqXCx8eHlJQU5HI5YWFhpKen4+DggIeHB0VFRaITqyVycnLYvHkzSqWSBQsW8MUXXwBQVVXFli1bcHFxYcqUKeckVNGVxF7L3vCWpJzc3Fwh1STt5ztK4nU1gfiPN/L2qKkdeeG2wg5nQldKYGe6Jkm7/IorrjirpIxMJsNsNpOeno5cLic6Ohqr1UpWVhZNTU0UFBQgk8kICAjAzs5OJNIiIyOpr68XXn7q1Kn07t2b8vJy+vTpg0x2avieWq0WkkG1tbXivn388cd89NFH+Pr68sorr5CVlYWDgwPr168nLS0NBwcHmpubcXBwwGg08sknn5CQkMDRo0f5+eefxbVLXlutVgvRy507dwrm23333cehQ4dEPuSbb77hlltuwd7enkGDBnH77bdTX1/Pzz//jEqlIiAggGnTpjF16lQUCgWLFi3C3d2diRMnintmNBrx9vbGbDZTXV3NZZed6opcu3Ytb775JnV1dchkMm666Sbee++9szb07mbv2yPlNDY2UlNTQ3p6OgaDodV+XopAu+rJJSbfpYLzZuRnkmWSPFjL1+bk5FBVVdVK2OFMONtwXer9dnZ2FiHm2UAul/Pdd9+xefNmVCoVt9xyC08//TQLFy5k1apVWCwWAgICePzxx7npppvIy8sjLy+P0aNHU1xcLHrhJXXVwMBAdu3ahZeXFwMHDmTRokWsX7+eLVu2MHHiRIYMGcKHH37IN998w8aNGzGZTJjNZmxsbNDpdPj4+HDixAn8/PwwGo0MGzaMPn36cOedd2KxWBg3bpwIQV1cXFiwYAEVFRV89tlnuLu7U1BQAPx3RJCrq6sg2shkMoYPH87w4cPx8PDAxsaGXr16AdC3b19qa2vRaDT07t1bGMDzzz8v7pUUJWzbto3JkycTFhaGTqcTXIHly5djtVqpr6/HxsaGQ4cOUVtbe9b6e+dKhmmp3y6RciS5a+k+Sd9bVxaiC0hrPSucV0/eETVVCk/hv0bn4uJymrDDmaBQKERNuKuoqanhxIkT9OvXD1dXV44ePdqt97eETCbj2LFjQhEkIiKCPn36UFtbS69evaipqeGaa67h7rvvFkoqgYGBeHl5cfDgQZ5//nkMBgOPP/44119/PfPnz2fRokVotVqefPJJnnjiCbZs2UJiYiJKpZLjx49TWVmJTqfDarWiVCoZNmwYZWVlzJw5k7lz5/L666+zZcsWbrnlFiZNmsS8efOoq6vD3d0dk8lEaGgo1dXVNDc38/rrr7NgwQLCw8M5cuSIKBk2NTVx++2388gjj2AwGBg4cCBlZWX4+PiQlpbWipwCiJ7pM6GsrIxdu3ahUChYu3YtkydPFoqxCoWCkSNHUl5ejr29PTY2NvTr1w+lUklRUREBAQHd5kOcb8Zby3HK8F9STmFhoQjzpf18e0o5jY2N/0xPLnmE9vbNkheuqqoSTRjdFVzoTrjeMlKQer8tFku39/QVFRXk5eURERGBXC7njjvu4Ntvv2XQoEEMGDCAp556ihMnTlBXV4e/vz+33HILNjY2WK1WHnzwQeLi4hg1ahSurq7U1tZiY2PD9u3buf766zlx4gTV1dWYTCa++eYbrrzySlJTUzGbzZjNZgYNGoSnpydPP/00tra2uLq68sADD7SKRObPn8/jjz9OfX09S5YswcbGRmTF7733Xpydnfnuu+9ETfntt9+muroaBwcH6uvrGTlyJCEhIWL/qFar8fX1FRM+4+LiCA4OZtOmTRw8eJCbb76Ze++9t1OxRy8vLzw8PDhy5AhqtZqAgABiY2Pp168farWaf/3rX8ycOZO9e/eiVqu54oorRGfb9ddfz3XXXdet7+lCi0ZIpJzm5mahZ19bW0thYSEajUaQciSlnLMh58hksqs5Je2kAL6zWq3vt/n9XOAj/tt19qXVav2uK8e+KIRfaWpJbm4uMTExZ6Wo0tVw3WAwkJCQIGiw0s3uboNJWVkZ9957L2+++SZvv/02AAEBAfz000+89tprHDp0iMbGRvr27Yu9vT39+/enpqYGOBVBxMXF4enpyb59+4TgRGpqqsguP/vss0JM0cnJifT09FY03zfeeAO5XI6Hhwevvvoqjz322GlbjZycHGbMmMEtt9yCTqdDrVYTGhrK77//TmxsLCdPnhRlNZPJxJAhQ3B3dxd5gISEBJYsWSLUSzQaDWvXruXAgQMsWLAAhULBX3/9xYEDB7C3t+eHH34gNzeXqVOnEhMTw4YNG2hoaBD3taamhsWLF7N3716effZZUQZctGgROp0OT09Pampq2L9/P3fddRcffvghH3/8Mffccw/Hjx/HxsaGpKSkLn9HEi5WP7m0J5dIOREREQwfPpzQ0FAhXnL11VfT2NjImjVrqKys7NJxZTKZAljIKXmnCOAWmUwW0c5LV1mt1iH/+dMlA4eLQIbR6XQUFBRgb2/fqbDDmdCVOnl9fT0pKSldSuSdCRaLhaeeeoq4uDgcHR2xt7fn+++/Z/369TQ1NXHVVVfx+uuv09jYyM6dO/H19WXAgAEisXTo0CFsbGzIycnhxhtvpLq6Gl9fX+C/vchqtZpPP/2U0tJS7O3t2b17tyCTuLu7k5SUREpKCg899BABAQFkZmaSmZnJ2LFjRbh84sQJmpubkcvlHD9+nBtuuIH8/HyOHDlCREQEY8aMIScnh4CAAF555RVmzpxJZWUlW7duJSsriy+//BK5XM6vv/7KRx991Gqr5erqSk1NDcHBwfj6+lJRUcGwYcPIzs6moKAAhULBypUrCQ8PF97sww8/JD4+HrVazXfffYerq6tQq5k/fz5HjhzBarWybds2MjIyMJlMoruwsbGRkpISPvzwQ3Q6Hba2tl1+Vi5Wg0p7ibeWsk9BQUH89ttvjB8/noyMDFavXs0vv/zSlc8xHMiyWq05/znmz5ySeko7H9d9QY28vLycrKws/P39OyXCdIYzefK2vd/29vZnfR44FQ2UlZUREhJCWVkZCoWCZcuWCYPKzc2luLiYWbNmMWvWrFbXsWHDBr799ltmzZpFUVERr776Kn/++SeJiYnY2Nhw9dVX8+uvv/Kvf/0LmUzGLbfcwrp164Sne/jhh4mJieGOO+5Ar9dz/Phxvv76a2bOnInBYCA2NpY5c+ZgY2PD6NGjGTRoEJmZmcTGxrJ3717S0tJEa+ozzzxD//79SUlJYeDAgSiVSvz8/Ljjjju44447RMXAzs6Ow4cPM2LECG666SaKiorE+W1tbXFycqKyspIxY8awefNm5HI5MpmMsWPHEhERIQQvjh49Krjq2dnZvPvuu6xYsYKUlBQKCwvZsWMHkZGR+Pj4kJ+fj8ViwcHBAYPBgK2tLRqNhkcffZTPP/+ciRMn8uKLL3YpUXoxteQ6W0xsbGxQKpW8+uqr3Tl0e7JO7Qk0zpTJZGOADOBJq9Va2M5rTsN5NfKWXUHp6ek0NzcTGxsr2gfPBR0ZeXu93+cKW1tbHn30UVavXs2sWbOIj48nNDSUhIQEZDIZeXl5PPjgg4wePZr33ntPZJh37drFY489Rm1tLdnZ2TzzzDPY29vTp08fNm/ejIuLCwcPHmTlypXU1tbi6OjI8ePHUalUaDQalEolN998M0VFReJaDAYDpaWlIpSPi4sjLi4OmUzGe++9x88//4zFYuHPP//k6NGjWCwW6urqePvtt/Hx8eG1114THvLJJ5/k1Vdf5bXXXmPTpk3CwG+++Ways7MZMWIEAQEBBAQEAKe2A59//jnV1dX4+fkxd+5cwej75JNPmDJlCuvWraOgoIDFixej1+txd3fnpptuYsSIEdTX1zN9+nS2bt2KxWKhqamJOXPmoNPpuOOOO5DL5axatQqDwcDx48dpaGjAYrFQXFxMUlIS7777LnV1dTzwwAOt6MNtcbGMvCsltAt4LRuAn6xWq14mk90PLAMmdOWN5z3G0Wq1HD58GHt7e6Kjo1Gr1efMVoP2w3WNRkNcXBze3t4MHDjwvLUbSoom0dHRTJw4UTC83N3d6d+/P6WlpZhMJrZv387x48dbXY9Wq8XGxgYbGxuuvfbaVhHMb7/9xvPPP8/evXtFJ959993HnXfeiV6vp7GxkQ8//JCoqCieeeYZRo4cSa9evdi5cyfXX389oaGhXHbZZYJJKA3tO3nyJK6urqxcuZKIiAhRkkxISKC5uVlUJZYsWcKWLVvYsGGDKGl6eHgIDv60adOIiYnh4MGDAPz5558oFAqSk5PJyspCr9ej0WhoaGjgjTfe4Pnnn+eFF17giy++wGg0olAoCAgIwGg08scff+Ds7ExycrLw/AaDgcLCQq644gpiY2OpqalBo9GQlpbGmDFj8PLyws7ODhsbG1xcXIiPj6eoqIhvvvnmvHyv54quGPlZjkfqVNbJarVWW61WSRDhO2BYVw9+Xj15eXk5GRkZDBw4sBW98XwYedtjFBcXk5+f327v97nAbDbz22+/8cEHH2A2m9m3bx+rVq2ioqKCRx99lMLCQry8vDAYDFRUVHDnnXfy0ksvcdtttzFixAiCg4OprKzk8ssvFyUYScXlmWeeobm5maamJjw8PHBzc+Oxxx6jqalJJM5+//135s2bx/XXX8+iRYvIysrCarUSFRXFXXfdxcKFC3F3dycqKoo5c+ZQXFzMjh07kMvl9O/fn++++4777rsPhULBDTfcQGRkJM899xwWiwUPDw9ycnKoqKgQn3fu3Lk88MAD/PDDD5w8eRK5XM7nn3/O5ZdfTkBAACkpKXh5eRESEsLQoUN5//33BXEnPj4ek8mEWq3mlltuwdvbm/r6epG912q1REdH4+vrS1VVFaNGjRLzvU+ePElJSQnx8fEiCbh+/Xrq6+vx9fVFJpPx5JNPCinuM3nIv1uOuSXOss00Hugjk8lCOWXcNwOtxNrbSC9fB5zo6sHPq5E7Ojq224+tVCq71BZ5JkjlOUlEwmw2d2v8cFexePFili1bRlZWFl5eXoLBZmNjw/vvv49eryckJIT169fz8ccf4+joyJIlS7jttttoaGhgypQpKBQKQkJCxLXJZDLUajX29vaYTCbs7e2xs7Ojd+/ebNmyRWSHLRYLMTEx6HQ63N3dRdlP2iK8/vrrYh7Xq6++iru7OwaDoVX7aO/evdm5cydVVVWsWbMGo9HI4sWLheiD1LIrGcaECacivsGDB2NjY4PZbGbcuHEATJkyBVtbW+Lj47GxsWH69OlERkayevVqwQXYtm0b06ZN44UXXkCpVJKdnc2ePXsYPHgwxcXFJCYm8sknn4jyKUB8fDxffvklVqsVPz8/0VFWXV2Nvb09BoMBe3t7nJycOHr0KH/99RcHDx5k5MiR5/W77i660mp6NpRWq9VqkslkjwBbOVVCW2K1WlNlMtmbwBGr1fo78JhMJrsOMAE1wNyuHv+8G3l7xny+wnWDwUBcXBwBAQEEBQV1ewWXesLPtBonJiaKa62qqhKJJMlQIyJOVTamT5/OypUrqaysZPbs2QD06tWL4OBgdu/eTUBAgJgYKpPJsLOzY/Xq1axevZqRI0cybtw47r//flQqFUajUdSHGxsb0Wg0FBQU8NZbbzF//nwKCgp44IEH2LhxI0VFRTg7O4vGC19fX6699lqhIiNBo9GIhFZ6ejo6nQ4bGxsGDRpERESEyAVs2bKFmJgYBg0axJ9//kl9fT29e/fGYDCg0WgYN24cvXv3RqFQEBQURHh4OOPGjWPRokU0NDTwwAMPcNdd/5UaCw8PJzw8nMbGRi677DKam5vZtGkTBw4c4NixYyJnYTQacXNz4/LLL2f69OkMHjwYf39/qqqqeOSRR0TEYTabKS4uPmM56mJNaulKuH62bDer1bqJUxpuLX/2aot/vwC80O0Dc5H6yc+HkVdUVKDVarnsssvOSuMN/ruvb8/Im5ubBUEkISEBk8mEk5MT+/bto6qq6rQ6u7u7O3/88Qc1NTVCC87GxgZ3d3eCg4M5ceIE2dnZREREIJPJhKrJPffcI/jSDz/8MCkpKTg6OvL222+L41itVpF8mz9/PhaLBTc3N2bNmkVqaipDhw5t9SAFBQVx4sQJiouLxZSZoKAgoqOjaWhowM3NjYMHD2Jvb09YWBgvvfQS999/v2DS3X///dx7773ExMSgUqlYvHgx69evJyMjgyFDhrB69epWHYRqtZrbb7+d8vJykaSTvqP9+/cTGBhI3759RW6j5aJpMBhwcnKiqamJ0NBQwfRbsmQJDz/8MBqNhtLSUnx9fUXC0cnJCZ1OR1xcnJi+2h2hx/OFrmTXLzVKK1yg7HpbnIuRWywWTp48KYQLztbAoeNa+7Zt21i4cCGenp7Mnz8ftVrNm2++SXl5OSNHjhQkjrbvtbOza/WQwylCyKJFiwAYMmQIfn5+NDc3U1ZWxpAhQ1pd/8CBA1m1ahUPPPAA9957L//+978JDAwkOzsbOzs70clmMpmora2luroaT09PKisrMZvNuLu7Y2dnx48//sjLL7+M2WzmmmuuYd68eURHRzNmzBjgvzJaEr9+4MCB7Ny5k4SEBB5//HH0ej3bt28nOztbLE7Hjh3DxcWFlJQU8vLyTmsRdXFxOe272Lx5M/X19WRmZtKrVy/eeecddu7cyZw5c1i5ciULFizAarVisViIjY1lwIABaDQafvzxR1QqFc899xzR0dHU1dVRX1+PWq2mubkZs9nM999/zw8//IBMJhNCj3K5HDc3NywWy0XLsHd2jkutlxwukic/Wznjtr3fUtb3XK6jraEajUaWLVsmvEtJSQmDBg0iODiY/v3788orrwgWWkdknNLSUmQyGb6+vpSXl6NSqZDJZCxbtkx02Y0dO5b169eTkJDAbbfdRmxsLCUlJVx99dUUFRVhb2/PwoUL0Wg0/Pnnn7i5ufHdd6dITUqlEi8vL/78809effVVIiIi+Pjjj6msrMRoNPL777+L7PyqVatEOc3Z2Rmj0UhaWppQoZFq6pJx6HQ69Ho9er2eNWvW4OzsTEFBAV5eXmg0GqKjowkJCenS/XV3d6e0tFTkToYOHcrIkSPx8fHhzjvvxMbGBoPBwNSpUwU1VC6XY2trS1NTkxDUGD16NOHh4fz44480NDRQX18vyD6zZ8/mwQcfFNn66upqjEYjcXFx2NvbC679WWS4zwuampouOSO/dHRs26CyspKEhAT69u1LaGjoeVml2xqqRqPhp59+EprigYGB9OrViwULFpCZmcnevXt56aWX2LdvHzKZjJKSEk6cONEq77Bjxw7Gjx/PuHHj+Ouvv7jhhhtEKcjb21v0saenp/Paa6+xfPlyZs6cSXl5Oe+88w4lJSWYzWYMBgORkZFs374dhULRqgNKwscffwwgQvMhQ4YwdOhQHnzwQVxcXETvvvR5Vq1aRWRkJNOnT2fDhg1otdpWnV6Ojo7069dPaLcdPnyYiooK9u3bR319PR9//DG//vrraWIfVquVb7/9loceeoiMjAzglL7d8uXLSUxMZPHixVx11VVkZmYik8nYsmULjo6ONDQ04OjoiE6n48iRI0RGRjJ48GBWrlzJBx98IPoCIiMjufvuu5kxYwa+vr7Y2tqK0PzgwYNCWlutVuPp6SkSvmFhYVgsFjIyMoiLi+PkyZNCmfZi4VITcYSLFK53B1arlczMzAsy97ulkZeWlpKbm8uBAwfw8/NDr9eLQYIhISEi2ebk5ERRUREeHh6sXbsWV1dXxo0bx1VXXQWcMnKp5r17925eeeUV9u/fz6FDh9i8eTM//PADAQEBPP/882i1WpH802g02NnZIZfLsbGxYebMmcyZM4eqqio+//xzhgwZcpom2vjx41m/fj12dnYiAWixWLC3t+evv/4iJSWFJUuWMGHCBGbPni1kt9RqNSUlJcTFxREfH88777yDq6srAQEBPPPMM7z11lvY2Nhw//338+mnnwrRj7S0tFaMPgmHDh0SlYYTJ06wa9cuHnnkESoqKgTF1Ww2i9FNa9euZebMmeTl5REZGYlGo8HV1VVUR4KCgggKOlUmvu+++8R5qqurueqqq9ixYwcqlQp3d3fGjx/fShBS2ie3pZdKstY1NTWtQnt3d/cLNpMNLj3BCLgEJqi0RFfmfp/L3ksul9PQ0MBff/2Fp6cnw4cPZ//+/fz+++8UFxfz3nvvMX/+fJ588kkiIiJITEzE3d2dyZMnk5+fL1Rd6uvrxTFvueUWNm/ejEwmY9asWUIIIzo6mm+++QaZTEZ+fj55eXksXLiQJUuWCG/v7+9PdHQ0WVlZNDQ0sH//fp566imeeOIJ6uvrqaqqanX9H330EXfddRf+/v6i/fP+++9n9+7d2Nvbs2vXLpYtW0ZFRQUvvvii0EeXSlTbt28Xoh7ffPMNOTk5bN++nZdeeokbbrgBOFU1kKirV155Zbv3sWWHlUQh9vb2JjMzUwgwBAcH07t3b44ePYqtrS2HDh3i5ptvJiwsjA0bNuDo6Nhhf0FJSQk7duygV69enDhxgttvvx1XV1cOHDggpsRI6CgZJhm1xFVoKf/U0NDQ7dC+q9vNttHSpYCLZuSdla9a9n531KUm7e3P1sj1ej133303tbW1jBo1itjYWO677z5WrlxJU1MThw8fpqSkhF69enHNNddwzTXXiPeqVCqGDx+Ou7s7EyZMENNOpD51mUwmppTs27ePnJwcYmNjOXjwoOgCk8lkPPjgg4wfPx6ZTIaNjQ0pKSk0NTWxceNG/vrrLzZv3kxkZGS7yqtyuZzIyMhWPzt48KCQM8rOzhY65XPmzGHt2rXMnTuXxx57jMOHD/PII49gNpuxtbUlLS2NZ555hoaGBn7//Xf69+9PREQEV111FYcPH0Yul3f4PURHR7Nw4UJSU1O5/fbbAfjss88YN24cKpUKuVzOrl27yMnJIS0tTUw4LSgo4Oabb6Z3797Y2tp22GOwatUqqqurMRgMvPDCCzg5OfH000/T3NzMN998w9VXXy3C9662mbaVf2pqaqKmpkbMWO8sa98dVZh/dLh+JkgZ9rZGLs3irqys7HTut0T6OJtQq7a2loMHD1JeXo5areaPP/7g2WefxdHREaPRKOifbTXKJCiVSmJjY8W8r02bNrFnzx5RgtJoNJjNZr777juOHz/OL7/8grOzMxaLBScnJ3Jycjh06BCXX345rq6ujBkzhlmzZrFs2TLhAWUyGdXV1d36XM8//zzvvPMOsbGxDBt2iukok8l4//33ef/9/7YkX3fddchkMqqqqrjlllvQ6/ViTlpzczPff/89d999N83Nzfz111+MGTNGGLmU6W7p8aZMmcKUKVPE//v06cMbb7zBTz/9hJubG9dddx2zZs2id+/eLF26FBcXF7777jvuueceUePvCJJmnJ2dnRijpNVqSU5OxtXVlaSkJHHc+vr6VtfRFXQW2stkMuHlpdD+f1WpFS7inlwy8pZJHIPBQHJyMg4ODl1SiWnvGJ1B6lD77bffWLlyJVVVVTQ1NeHv78/XX3/N008/La49MDBQfEFto462Sbva2lrUarWIAGJjYwkODkapVIo9bVVVFQ4ODq0y7mazWYRz3t7ebNq0iUWLFrF3716uuOIKrrjiCnE9XQkR77zzTu68885OXyeTyVqJMZSXl/PKK6/w888/ExkZibe3NwqFgtmzZ1NXV4etrS0bN27EaDRy8OBBbG1tmTlz5hlLmPPmzWP06NFMmzYNg8HA22+/jZOTE1qtVggvdEXd58Ybb2TgwIH4+fmJBWHs2LFCaOPkyZPExcXx5ZdfotfrSU5OZs2aNZ0etyO0De2NRiM1NTWtQnsnJ6cufR//L/bkHT2cbWvlZ9P73V3FVrPZLCaXNDU1iUEFbm5ueHp64uDgwJNPPklRUREWiwV/f3+GDRvGl19+yVtvvYVcLufLL79k5syZgtBy/PhxvLy8uPrqq2lubmbXrl28+uqrTJkyhfnz5/PVV1+xZMkS+vXrx/bt29m6dSu33norY8aMISIiAmdnZzHGF06pqLz44ou8+OKLXf5c54rq6mp+//13amtrueuuu9BqtfTp04eQkBD0er1YqJqamoiLixNss5ycHAYPHnxGj+bt7S1KaBaLhdraWhQKBUOGDKFPnz4sX76cBx98sEOt+8bGRr766ivKy8uFeOTbb7+N1WqloaEBg8HAhx9+yOWXXy74/uXl5ef1/kjKtC1D+9LSUrRabaeEnEuxhHbRwnVJ503yrCUlJd3u/e6OBFRTUxOJiYkEBQURGBiInZ0dBw4cwNbWljlz5ghlTkn3TS6XExgYyLZt23j//fdpaGhAoVDw/PPPM3PmTORyOdu2bUOr1WJnZ8esWbMYMGAAr732mtAymzdvHhEREbz00kvAKY9kMpnIyMjA0dFRiCF2BV315GeDxsZGjEYjKpUKe3t7pk+fLn63ePFivvnmG2bMmMHw4cPp1asXmzdvRq1Wo1arSUhIQKVS4eLigre3dyvN8n379vHHH39w1113kZeXJ3Ickkqss7MzOp0OnU7XoZHn5+dTUFCAyWRi/fr1YsqNVqulubkZW1tboVPg6uqKj49PK1rt+YYU2nt5eWE2m+nTp88ZQ3tJ3rmb5+hM+skGWM6pzrNqYLbVas3r6vEv6p5cr9cLDe/hw4d3uzW0q8y5yspKMjIyiIyMFOFlWFgYsbGxxMfHC0ZWcXExffr0wc3NjZCQED7++GN++eUXgoKChJST1Mcsl8vRarWo1Wry8/MpKSlhwoQJREVFkZKSgpOTU6tRx3Aq0ffTTz+RmZnJkCFDOjRySddNKhcmJCQwa9Ys5HI5GzZsOGMv9dkgICCAyMhICgsLiYmJafW7iRMntpJV9vX1bWVEUpdeWloa/fr1Izg4GGdnZ5RKJXfccYeQh964cSMLFixg69atQqc9OTmZoUOH4u3t3eG1BQYGioRYnz59CA0NpbKyksbGRry8vGhqasLPzw9HR0f69OnD448/ftp9vxCQ9uTthfZS1v6tt94iIyODtWvXcsMNN7TqJTjTcTkl/TSZU2IR8TKZ7Her1dpSFeYeoNZqtfaWyWQ3Ax8As7t67ee9WNjRvlzqHjuX3u/OJKAkHfS8vDxiY2Nb7R+bm5s5fPgwfn5+HD58GF9fXxQKBQ4ODnz22WcsWbIEFxcXpk2bxi233MK//vUvlixZwo8//ig+18iRI0lNTaWxsRGz2YxSqWTNmjV8//337Ny5U8j2SqitraW8vBxPT09OnjyJXq8/zTtnZmYSERFB79692bVrFwBff/218BYrV67s8PNKyai2k0w7g1KpZPjw4YwZMwY3NzeSk5N55JFHWLduXafv3b9/P08++STLly8nIyODmJgYfHx80Gg0mEwmEaq7u7tz33338d577/Htt9/i4ODAlClTqK2tPWOziYuLC1dccQWXXXYZnp6eREVFCXpwcHAwkyZN4ttvv2XixIn4+fnx0ksv8cYbb3Rp9vy5oKPKkEqlwtvbmwEDBrBy5UocHR1RKBQ8/fTTYibcmRAXFwf/kX6yWq0GQJJ+aonpnBKJAFgLTJR1o8R0UTy51EUUGhp6TqvumTy50WgkKSkJR0fHdrXkKisrCQkJYdeuXYSEhDBw4EDeffddAPz8/MTrfHx8eOyxx047fmNjI3q9nuDgYMLDwzl69ChTpkzB3t6e8ePHA6eM+siRI4SGhvLWW2+h1WqZMmUKBQUFODs7C0nk6dOniwdG2hvL5XK+/fZbxo8fz9VXX83GjRuxWq3i2O1h165dFBQUoFQquemmm05bZDqDdI9uuukmqqqqWL9+PZGRkWccZbRy5Uq0Wi2NjY0UFha28mwrV67k119/5eqrr6a8vJy6ujr69u2Lp6cnhw4d4vvvvyczM5Pt27ezcePG0+rJRqORw4cPExgYiFqtxt/fn4EDB3LkyBFsbW1xd3dnxowZDBkyhKioKCZNmoSHh4eQ4woLC+vW5+8OupJdl5zQ448/zlNPPdWl4xYXF0Pn0k9CHuo/ban1gAdQRRdwQY28Ze93cHBwt7Li7aEjI9doNCQnJxMeHt5uEu/kyZO8+uqrpKen09DQQFFREd9//z1PPvlkl84r7Qt9fHyIiYkhPT2dqVOntnqNwWBg3LhxVFVViSQdnAp3X3jhBb766iv69etHVlYW9fX1ItwbN24cX3zxBWazWRBSbrjhBvr27Ut5eXmr0LmyshKDwSCaYiQhxJZy04WFhRQXF9O3b1/glKfpbI8oPbwSR7896PV69uzZg7Ozs9iHt2XDRUZG4unpSUBAAC4uLiQnJ+Pj48PChQtZunQpDQ0NODg4UFJSwu7du1u9v6amhldeeYW8vDz69+/P9ddfz+jRowF46aWXaG5uxsfHRyjMXnXVVcycOZOVK1cycOBAwZi7UOhqCe1iKcd2Bxckuw7/nfst9X4XFxefM4e4vXC9pKSEvLy8MyrEFBUViaSNtEhIemvr1q0jOjqa2bNnt1vDz8zMRKPRiP28t7c3e/fuPW2xOXLkCAUFBeIapT7yXr16oVAoGDRoEAUFBYSFheHi4kJhYSG5ubk4OjqyceNGHB0dCQ4OFseTJq5IOHToELNmzcJisfDFF19www03MGHCBE6ePImnpyfu7u40NjaydetWlEqlUIxVqVTMmDHjjDLYa9euZcmSJYwbN67DfWReXh5JSUn06tWLt956SzSRSDAYDKxatQqNRoOHh4fYxzs5OXHo0CHq6+vFpFe5XM7XX39N//79xSTXN954gw0bNmAwGE6bYy51vGVmZnLnnXdiNpvZsGED69atY/LkydjZ2Z2zA+kMXWkzPZtE6X8W7DNKP/FfeagimUymBFw4lYDrEi6IJy8rKyM7O7tV4utsJqC0RUtPLrWg6vX6ThVihg8fzmWXXUZRUREzZ86kf//+TJ06lWeeeQYnJyf27t3LuHHjWoXtUvjv7OzM0KFDkclkNDQ08PDDD2M2m9m1axfJycmCvKNWqxkxYgRJSUlMnz6dqVOn0tzczPXXXy+GPEyfPh2VSsXJkyeFLrxer6e6uprq6moqKipwd3cXg/hcXFwER33Hjh3odDpkMhlLly4lNjaWoKAgYmNjxTXL5XLRoCJleaU+9rZG3vKB7N+/Px9++OEZ772zs7OQjI6Ojj5tMZBINfb29jQ1NWG1WgXBx93dXQy9tLW1FQMowsLCqK6uJj09nYqKCtFgo9FoOHz4MEOHDm1Vffnxxx+pqakRE01efvll+vfvLxR8zGYzlZWVouZ/PtEdfkZ3GJn/+f7OKP0E/A7cCRwEbgR2Wruxopx3I8/NzaWqqorhw4e3uinnS+dNYqclJSUJAcLObqqTkxO33XYbH374IcXFxdx///3AKZZWSkoK3t7erfazjY2NJCUlERYWJvTSpfOrVCr0er1IsEiIiori1VdfxWKxnPbZpXKYQqFg3759yOVyYmNjWzGvevXqJWZ+//HHH1itVvR6PQqFgrfffhtXV1dcXFzQarX079+fzZs3M2vWrFbTWe3t7bnmmmuoqqrC3t6euLg4/Pz8Ogxlu/Mw+vn5cfvtt2MwGFrdEwl2dnZMnz6d9PR0AgICGDduHIWFhfz73//mqaeeEpNrr7zySvLz83nuuedaffYvvviCL774guPHj+Pn50dSUhK7d+/GaDQyfPhw/Pz8cHBwoH///hw/flz00YeHh+Pm5oa/vz/Lli0jPT2dyy+/nBdffPG89pd3JVw/G/33/zinzqSfFgMrZDJZFqekn27uzjlknSwI3Y4/mpqaRFdQS1RXV1NZWXlO5aDS0lJqamqoq6sToV5XsXDhQnbv3k19fT1XXHEFubm5KBQKxo8fz4wZM4THqKioICsri0GDBp22l5UmiezatYspU6Z0+bNUVlZSXl5OVVWVqMuHhIRwzTXXnHafTCYTq1atory8HLPZzNatW0Vt+umnnyYoKIj6+nrkcjk33nhjqzll3UFNTQ01NTWndbq1h9LSUvbu3cuAAQNwd3fH39//jA/zypUrefnllzGZTAwaNIjNmzeLyKEzw5O2UM7Ozmzbto3i4mJsbW35+OOPRSXg008/pbm5GZ1OR1RUFFarFVtbW3Jzc8W8uHXr1p3XDsbMzEw8PT3POPJao9Fw0003sW/fvu4e/oKqXZx3T25jY9Pu3vtcxRytVivV1dVUVVUxYsSIbs+a6t+/Pzt27KCiooIVK1bQ0NDAxIkTycjIwN7eHqvVSnJyMvHx8Vx77bUdJquGDBki+Otwai+al5dHWFhYh1uGhoYGKioq6Nu3LwkJCTg5OVFWVtbqNcuXL+fo0aM8+uijTJ8+ncLCQsG0Sk9PB05NFA0KCiItLQ0/Pz8MBgMGg+G8PsxtYTQamThxohgz/NRTTzFgwACCgoLo06dPu99DTEwMarUai8UiWnIlSq9erz8jAeryyy9n0KBBqFQqli1bJnTkFy1ahL29PTNnzmTSpEnk5OQQFhZGr169xLimxsZGMjIymDt37nm/J13x0pdiLzn8DQ0qZwOTyURqaiomk0mICHQXEyZMwNvbm08//ZSDBw8KgcAHH3wQk8nE8ePHeeaZZ6iqquLnn39m06ZNne7BTCYTV155JZmZmQwbNozffvutlaeyWq3k5+eLKaGBgYGMHTuWzMxMMVIJTtVKX375ZZqbmzly5Aj79+8nJCSErKwsPvjgA0aPHo2np6eYe3377bfT2NhIdXU1ycnJwClVFkkfvj1vWVNTw9KlS+nXrx/XXHNNl7v5mpubqampETTVhoYGNm3aRGhoKMXFxVx99dWnvad///7s37+fffv2ce211wKnIrwffviByspKrr76aoYOHdrhOaUE6vXXX8/atWtxdnZGoVCgUCjw8PDg7bffJi0tDaVSSU5OjlgI/Pz8WLx4sagsnE90JVy/FCmt8D9g5FKWPigoCAcHB0pLSzt/UzuQyWSEhoZy3XXXkZCQQK9evRg2bBhDhw4lPj4eDw8PKioqUKlUIq/QMhHXHkpKSsjIyECtVnP48GEhBKFSqbBYLKSlpWG1WunXr58ggAwbNoxhw4aJPbckpihdY9toQKVSccMNN3DXXXexdetWALZv305ERAROTk6EhISIhoqioiI0Gg1OTk4ia61SqbBardx2220cOXIEmUzGypUrRcdaZ3BycuLNN99k0aJFjB49mj59+mBjY3PazPm28PLyolevXmIhqaiooKKiAltbWx555BGqq6u5/fbbefnll5HJZOh0OhITE3FxcWHAgAHAqfJiU1MTWq2WhoYG7OzsiIyMFEowAC+++KLYIs6dO5f6+npycnLEgne+ylldMfL/N578fIo5VlRUkJmZKbL0DQ0NZ7VQ6PV6Dh8+LOZ6DRs2DIvFIiZ03nTTTTz00EPccccdLFy4kF69erFnzx5uvvnM+Y3AwEAmT57M5s2buemmm/jxxx+pqqriuuuuo7m5GW9vb4KDg6mrq2uVzW5qahILgdVqJTIykk8++YSdO3cyZcoUtFotCoWi1XuOHDkiurni4uJE1h0Qss7Lli0jIiKCGTNmCKO3Wq24urqKqS/SHPCOjFxqKnFychIh73333ddKseXEiRPU1NQwePDgM96fltGCr6+v6Pw7ceIEMpmMr7/+mltuuYWysjL27NlDfX09KpWKe++9l5CQECZNmoSrqyuvvvoqCQkJODo6ctlll7XqupOGO9jY2LBnzx62bNnCo48+il6vFx1k0oJ3NhFgy/vSY+Sdnagbe3KJnlpfX99KAqork03borGxkfnz57Nnzx5KS0vFgqFQKDhy5Aj29vZ89tlnXHfddVx77bVkZmaSlZXF0qVLiYqKEl6l5bVJD65cLmfZsmWYTCZyc3NZuXIltra2rF69mscff1wwulo2m/z111/ExcURFBTE9OnTqa+vx2QyERsbS1ZWFjk5OcjlciZMmNDKyK+88kpWrFghrr3t9dx1110cO3YMGxsbgoODGTduHN7e3qxfv56KigruvvtulixZQkhICJMnT+5wsdy9ezfp6elCamnevHliUunixYuZPHkyAwYMwGw2k5+fT2NjY4cRj9VqFdrp/v7+3HnnnWzdupWTJ0+KZFlhYSEbNmwgOzsbZ2dngoKCxLVJGm7p6eliqyBpykl4+umnOX78OGq1mh07dmBnZ8dff/3FSy+9JDrIpDKd0WjE1dUVDw+P0+5jZ+iKjsGl2GYKF1kZpiulPanHXPK4LSOD7kYDFouFl19+mZ07d1JaWipq4gEBAahUKvz8/KipqcHBwQEnJyf8/PwYOnSo0CLbvn17KyOXPkPbaEWaFlpTU0NCQgKzZ89uVZeW3me1Wjl69Cg+Pj4UFBSQkZHBrl27MJvNaLVajh8/jru7O/369aO+vh6ZTIbRaEQulzNkyBDKy8sxmUxCWz0vL4+dO3fi7e2NwWAQi6g0lLC0tJS6ujpcXV3x9/fn2LFjNDQ0UF1dTW5uLuXl5Wg0Gnr37o2DgwMymYycnBzc3d2pqqpi4cKF7N+/H5PJhF6v54MPPmDy5MnAqSko+/fvF5Ta9gy9rKyMXbt2YbFYmDp1KoMHD+aTTz4R7agvvPACxcXFgjQUHh7OmDFjWtFTpUmyMpkMZ2dnysvLefTRR3n11Vfx8vIiKCiIsWPHUl5ezuHDh2lubmbUqFHivrcs05nNZurq6qiqqiI7Oxu1Wi1yGXZ2dmfMUXR1T97dDrSLgYsWrnclydPQ0EBycnKHPebdNXKTyURhYSERERGCiaXX6zEajfj4+DB//nxSU1OJiYkRpJ1bbrmF8vJyGhoaWmXR4ZTn3r9/PwUFBYwfP17w8LVaLVu3bqWmpoZZs2YJGWGp9i5JX5lMJmJiYjh06BC9e/dGp9NhNpuFwMTYsWMpKSmhd+/elJSUEBkZKWirU6dOJTAwEBcXF3Fdx44dw87OjqKiIiZMmEBSUhJms5k//viDa665Bi8vLxwcHNDpdPTp0weZTCbYY0eOHCE1NZX8/HzR3OHi4sLAgQNJS0sjKiqK4uJi1Gq1oM+21HxraGgQ24SOGjEaGxvFFkHSq/P392fBggVkZGSwatUqRo8ezezZs7FarQwbNuy0nIRU8tTr9djZ2UkNHXz99de8/PLLIusdGhrKokWLMBgMHWqsSYk7qfSq0+moqakhKyuL5ubmTiWgOnuGtVrtOY/NvhC4ZIQci4uLKSgoYMiQIR3ua7obrqvVah5++GHWr1/PCy+8wK+//kpzczN2dnY8+eSTREZGnqaZ5u7uzgsvvCASPocPH2bAgAE4OztTXV3Nnj17sLe3p7q6mnnz5rFq1SrWr18vZngVFxfTr1+/Vp9BJpNRV1dHcXExUVFRNDQ0kJ+fT1BQkPAwUVFR5ObmEhwczOrVq7niiitQKpUiw+/p6cnYsWNFl5fZbCYkJITDhw/j7OyMwWAQRid5chcXF2699VYxf60lpL54aSabm5ubMFyVSkV1dTUWi4WFCxdSX1/P0KFDiYqKEu8fMWIEVqsVZ2fnVnTclujVqxdOTk4YDAaRbNyzZw8Ajz32GHV1dXz77bfs37+/Q86Dv78/iYmJogadmppKbW0tP//8M1VVVcyZM0eE0d0dvCENxwgICGhX3VXay3c1BL8UpZ/gEjByaZa5wWAgNjb2jPTU7nrylJQUEXJ/8sknQgGmV69eyOVyVqxYIWZmtzQCOzs7mpub+fLLL2lubqZPnz48+uij2NraCsmn3r17k5mZyYEDB5DL5TQ3N9OvXz9mzpxJVFSUyGpLVM7Kykqee+45MVjQ39+fvXv38uijjyKTyTCZTHh4eLBhwwZ8fHxYvnw5R44cYdq0aQwYMAC5XC4eZilhFxUVRXBwsKCJpqSkkJqayj333CM+iyT20BKNjY0sXryYzMxM/vWvfwkDc3V1xdXVlbKyMmbNmoXRaGTAgAG888472NnZUV1djZubGwqFAmdnZ1ED7whqtbqVGOaSJUt44403xGeQhESMRmOHx0hMTBSiksXFxXz++ec89thjhIaGcvz4ca688srzkkFv2yeu1+uF9r3UgVheXi4qFu1B6nW/1HDRwnUJLfe0zc3NJCYm4uPjw4ABAzp9b3dpiq+++irl5eU0NTVRVVWFSqUSE0M2btwo6KM5OTm88sorrVZho9GIyWTC1ta2lWecN28eGo0GHx8fjhw5QmBgoNgbXnbZZURHR4s9uOR1ZTIZDz/8MAaDgezsbB599FGam5txc3Nj//79ODk5odFoCAkJYdiwYRw+fFiEnceOHRN5ASk0lR5qhUKBl5cXFouFpqYmtmzZQmNjI3PmzCExMRFXV9d2O8skJVWj0cjSpUt55plnWv0+NzdXzEDPzs4mJiaG+vp6sZdXqVQi7O1sL9sSJ06cEP0LU6dOxWq1Ul5ezty5c/nggw+IjIw8bV87bNgwobgyefJkwsPDufHGG1m+fDmOjo7o9foL0vVlY2ODn58ffn5+WK1WDh8+TFNTk6hYtOQlSOc/l8SbTCZzB1YBIUAecJPVaq1t53VmIPk//y2wWq3XtX1NW1xUTy55YqVSKSSYJark+YZer8dgMJCZmYnFYiEqKkqUYUJDQ2loaBDGsXz5cvbt28fq1atFG6e3tze33norWVlZYqaYXC7Hy8sLW1tbMjMzGTNmDGPHjkWv17eiO1qtViF1JSWNfH19KS4uRqlUcvvtt6PT6di5cyeHDx+mT58+hIeHU1JSgoeHB5MnTyYoKIjGxkbRbrlv3z4SExMZMmQIo0aNwmq1snbtWqqqqrjjjjvEZ4ZTC1TL9lOTySQWB7lczqBBg8RQh7Fjx55272JjY5k0aRIHDx7ktddeO83LNTc3U11dLfayUsba1dW1VXJKo9EIjoM0iz0tLQ2FQsFbb73FoUOHePbZZzGbzbz88stotVry8vJ47LHHCAwM5NixY0ydOpUtW7Zw8uRJnnjiCRYsWMDUqVPx8PBApVLxyy+/cP3115/vx+c0KBQKQkNDCQ0NbaUGI7XP1tXVUVtbey4ltOeBHVar9X2ZTPb8f/7/XDuv01mt1iHdOfAFMfIziTmaTCaKioooLy/vVIL5bCGJRE6ZMoUDBw4Ap7xgZWUlX3/9NSdPnqS0tBQ/Pz+qq6uxtbWlvr5etMZKGDZs2GnySFL4FhsbK8K2lqF+SwOXPFxqaipvv/02+fn5jB49ml69enHkyBEqKiqoqqpi0KBBDBw4EDhVXZBUXiUp5MLCQo4dO4a/vz9Hjx5lz549/PXXXxw5ckTQcd98801mzpzJwYMHufvuu0UTSUtRRWkvHxAQwJYtW8jOzhaMtJZQKpV89dVXFBYWtitEYWtr22ovW1dXR3V1NTk5OajVajw8PHB2dhYttG5ubjzyyCMEBQWxceNGcZyQkBAUCoUQ2MzIyMDGxoalS5cyefJkvL29+f333xk1ahQlJSVoNBpUKhXHjx/H1tYWk8mEj4/PBR902JbSKqnBeHt7Y7Va0Wq1rF27Vnwv06ZN49lnnz2jzFU7mA6M+8+/lwG7ad/Iu42L6snlcjmpqanY2dl1SYL5bCAl8KKjo6moqBCeRcryDh06lMTERGxsbAgICOCOO+7gyy+/FOG2hKKiIr7++mvUajUPPPAAHh4eNDQ0IJfLGTp0aLvXLhlTyxA5NzeXX375BavVyogRI4iMjBQLwA8//CD64SdPnixmoPv7++Pv7y8MSJpiKhFifvrpJyFKoVAohKZdXV0dQ4YMaaW+095eXroXQ4YMwWQyCW9kY2NDfn4+fn5+bNu2jczMTGxsbLj99ts7TGrJ5XIhZAinMtaSbLJGoxFRm3TOlhg6dChr1qyhpKSEmJgYpk+fTllZGbfeeiv29vaUlJTg7+/Pq6++ioeHBxaLheLiYpqbm7npppu44oorLihvX8KZymfSdJq5c+fy119/CWr0WQxc9LFarRKdswzoSMLYViaTHQFMwPtWq3V9Zwe+aEau1Wqpra0lJCSkSwJ33UXL/nIpgTdx4kQmTJhAfn4+zz77LIBIpmRnZzN+/HgmTpwoGhpaeoS4uDiysrKorKwkKCiIiIgIbGxsCA0NbWXgdXV1gnElGbgUyUgevb6+XsxTmzx5shhYWF5ejkwmY+/evdTU1JyWYW5pQH369KGqqoqvvvpKeBYXFxc8PDy4/vrrMRgMuLi4oNPpOuyUkqoTmZmZqFQqgoOD2b9/P/Hx8bi4uLB161Z27tyJr68vTzzxBDY2NhiNxjMmxtrCzs6OwMBAAgMDKSoqoqGhgcDAQJKSkoSEk7SXBxg8eLBgzu3atYu6ujq8vb3R6/XU1tYyZ84cUe+PiYmhsrISW1tb1qxZw4svvkhCQkKXr+1s0VVVGK1Wi7e3t6DctsWkSZNOa0wCSE1NbaXpZrVarTKZrCNSSbDVai2WyWRhwE6ZTJZstVqzz3RdFyVcl+ipUkniXI/dNnwyGAwkJibi4eHRqr/c2dmZn376CaPRKNRGioqKABgwYAAHDx7k+eef5/rrr+e2225rdR5fX1+ys7ORy+Vs3bqV6667jrKyslYlvCNHjrBq1Srs7e154IEH8PLyEgSWH374gZycHKZMmYJKpSIgIICKigr27NlDWFgYw4cPx8fHh4qKCkJCQs7YwginDPSHH37gyy+/xGKxMGPGDPz8/PD09OTw4cNcffXV9OvXDycnJ6KjozGZTJw8eZKwsDDs7OxoaGigqqqK0tJSjEYjERERor9dUqbdtm2b2NYEBQVhNBoJCAg46+8sMDCQoUOHYjAYsLOzE+wzSTSj5V5eLpeLJhRJWcfX11dUKSQjs7e3R6/XC/33Cx2qQ9f7xDtLvG3fvr2jX/0mk8nKZTKZn9VqLZXJZH5ARXsvtFqtxf/5O0cmk+0GooGLb+QtLqgVPTU3N/echSMkbyTddIlA07dv33ZJEFKCCU6F8vn5+Xh4eFBaWoq3tzeOjo4kJiaeZuSDBg0iNjaWiooKLr/8ctHA0nLxkvaGFRUVpKamCtHFyspKsrOzhVRUREQEcXFxVFRUEB4eLqSZN23aRGpqKuPGjevSQ7Rp0yYx/GDYsGH06dOHtLQ0xowZw8iRI+ndu7fIgD/zzDOkpaXh6+vL7t27WbFiBdnZ2dja2uLt7U1SUhIRERF8+umnmM1mxo0bx9y5c8VgiDFjxogxStIfaRvS0bUmJSWRmZnJiBEjCAgIwGAwsGjRIsrLy7n66qu57LLLsLe3F9TV2tpa8vPzufPOO8nNzcXd3R25XM4NN9wgxDS/+uor1q9fT//+/XF2diY5OZnVq1cTEhJyzkpDXUV3PPk51Mkl9Zf3//P3b21fIJPJ3IAmq9Wql8lknsAo4MySPlxAIzcYDCQlJeHi4iLoqedLHUbK0Evjh89EoAHIysrihx9+YNeuXdTX1+Ph4cHy5cv56aefyMnJOc3ApdLODTfcgIeHB/369QP+G0VIrxk1ahTJycnk5OSwYcMG7O3tueyyy/Dw8MDf35+SkhLGjx9PUVERFRUVhIWFtbrO3r17d0m0QcILL7zA7bffLqa+RkVFMXLkSFHGcXFxoU+fPjQ2NnLs2DHg1MK2ceNGMjIyCA0NJSsrCwcHB44fPy6GA5jNZqqqqvj111959913W5XFJKmr8PBwgoODhcEDonIgl8s5evQor732Gh4eHuTn5/Pkk09SXV1NaWkpHh4exMfHt8p5KBQKPD09+fXXXzl8+DAmk0koz+bn5zNp0iShavP444+L9y1atIiwsDDS09PJy8u7YAMoWqKrRm4ymU7Tp+sG3gdWy2Sye4B84CYAmUwWAzxgtVrnAQOAb2QymYVTcurvt9FnbxcXxMgbGhpITEykT58+rTKMEvnhXCBl6KXmiM703eCUcRQWFpKTk4Ovr69YJKR9uk6nE8kws9kstNsmTpzYKhyUjFxKsPXu3Zs77riDH374AXt7ezIyMoiNjSUzM5PLL7+ckJAQmpqa2L17N4MHD8ZsNtPU1NRlRZuqqirBgvP29mbChAkUFBSwYsUKDh8+THZ2NrfffjsWi4WtW7dSVFSEj48P/v7+zJ07l++//54RI0YI8k9OTg7jx49n48aNQk4pJiaGkpISPvroI4DTmHG33347+/fvRyaTceDAAXr16iXyDdKCZzab2b9/PyqVipKSEkG79fDwIDAwkJKSEqZNm9buZ/Ty8hIRA5wylMbGRlavXk10dDR+fn7Y2dmJuvyYMWNYu3atuOb25qefb3Q1XD+XBcdqtVYDE9v5+RFg3n/+fQAY1N1jXzAjb8+7dtaD3FWkpKTg7u4uiCedwcHBAZPJJAT+rrjiCjw9PbFarSxfvpwvvviCPn368OWXX7J161Z+++03Ro4cKTy4BGlMk5Rgq6iooKmpSYzO2b9/P8888wwhISFMmDBBhNQPPPAAe/bsEQkpOPVAHDhwgOzsbMaMGUNISEirc5nNZtasWUNxcTE7d+5k3LhxvPnmmyIb7ujoSF1dHWazmYqKCtLS0qisrGTz5s0MHz6cefPm8fzzz1NUVCT2r9K9r6urIzU1FYD33ntPqMzodLrTssKJiYlC6TYrK4uQkBAsFgsGgwEHBwdh8FFRURQVFSGTycR4KBsbG+65555WOZG2mDFjBkqlkri4OL777jsxoKGxsZFdu3bxySefiDHDaWlpDBw4kISEBLKysoiPj8fV1bVT5t25oiue/GJEFGeLC2LkLdsFW0IalXS2aGxspKamhtDQ0G4J6X/wwQf8+eefrFmzBoPBwPbt29m2bRthYWGUlJTg4OBARkYG69evZ8WKFeTn55OQkMDw4cO5/PLLAUTyR2I8NTY2MnHiRAwGAzfeeCNvvPEGAwYMQKlUkpmZSd++fUXmWCaTccsttwCntMKqq6vx8fFh9+7dODk5sWHDBh599NFW1ywx5jZs2EBOTg5ZWVkMHDiQ2267jalTp5KSksKQIUPEXDIbGxuOHTtGY2MjeXl5VFRUYDKZGDp0KE1NTfz0009oNBquu+467r77boqLi3F1dcVsNvPzzz+TmpqKp6cnd999N/7+/sIoP/zwQ1544QWGDRvGmDFjsFqt/Prrr5w4cYLBgweLQRETJkxg4MCBaDQaNmzYgI2NDZGRka204dvzhjKZjGuvvZYpU6ZQWFjI5s2bcXJy4siRI1xzzTXI5XIcHR1xdHQkKCiI7Oxs/vrrL0pLS1EoFJSXl4stwYUqp3U1XJcqK5caLlh2vT2cy55cEljsTEyvPfj4+DBnzhxOnjzJvn37KC8vJyQkhLy8PJqamsjLy8PX15dp06axbds28vLyRMcW/JfgEhgYiJOTE1VVVUJXzGw28+uvv3LPPffQt29fcnJy8Pb2ZurUqdxwww2t7kVpaSmrV6/GYrEQFhaGo6MjGo3mNEFIq9VKQkICSqUSDw8PCgoKsFgsZGVl8c033zB48OBWLC9HR0euuuoq8eBrNBq8vb2JjIxELpdTVlZGXV0dTk5OIknp7+9PfX09np6e6PV6oqKiKCsrE/RVi8WCh4cHEyZMECIPcCq5lJ6eTmBgIMnJyUyZMgWj0chPP/2En58fmZmZ5ObmipKXJMXc0V4eTkUWX3/9NYMHDxaDEYuKinjggQfEZywrK+OJJ54gPz9fTEp1dHQU6rkpKSlYLBZRonN2dj5vBtcVI+9Kv/nfhYtKhjmbPbnELa+trSUmJuacMvQvvPAC69ato6KigvXr16NWqzEYDGJr4evry7///W9+++03+vfvT0RExGkUValufe+99/LVV1+JWd6PP/44er2eK6+8kldeeeW08LslJNLL3LlzqampESG8hMLCQj7++GPq6uoIDw/Hy8sLq9XKwYMHmTRpEjt27GDgwIGtJoOGhoYSExPDpk2bGDBgANu3b2fhwoU899xz+Pv74+XlRV1dHdHR0ej1epYvX05VVRVRUVFMmTKFPXv2MG7cOKKiosRWJC8vD41GI6aQSkMchgwZwvHjxxk+fDhqtZqHHnqIDRs2YLFYGDhwII2NjYwfPx4/Pz/BCpSIOG338nK5nLfeeot169Yhl8u5/vrrqaurw2g0ctlll+Ht7c13331HXFwcJ0+exGAw0NTUJKIDR0dHAgIChAyWRDdNT0/H0dFRlG3PxctLzTRnglarvSRVYeBv4K53Z09uMplITk7Gzs5OsMzOJRpwcHBg6NCh+Pn5MXv2bDIzM/n222+pqKhgxowZwKlW01mzZmFrayvYYcBpq7SzszMrV67kp59+Yvv27WRlZYnrOn78OE1NTXh5eeHu7k5eXh5lZWUMHjyYG264gerqaqKionBycsLFxYXs7Gx27txJv379uOKKK4QyrYODA3q9nsmTJ1NeXk5ycjI1NTX06tXrtL2zNB7Y29ubkydPsnbtWoxGI8nJyRw4cIDp06fzww8/8PvvvzN58mSqqqrw8PDg5MmTTJ06tZWcVG1tLcuXL0en0zFs2DCmTJlCfX09X375JT/++CNXXXUVDz/8sGjekKSlrFYrNjY2DBw4kJtvvrlVR1bLppqWRt6SYw9w2WWXkZeXx7p166isrKSuro7nn38eb29vysrKaG5uRq1WY29vL/rL9+7dy8SJE0+jm3ZX7LIj/C/ru8Hf1KDSFUjzxYODg1vRNFs+JGcDuVyOTqejoKCAvn37smLFChobG0Vovm3bNpYvX46Pjw/33HMPxcXFor7bFiNGjCAnJ4eioiL27NmDXC6nvLyc2tpa/Pz8qKysJD4+nrVr16JSqYiOjm4Vgkr45ZdfMJvNrFq1imPHjonchYuLC19//TWXX345SUlJXH/99Tg6OuLp6Ulubi5lZWVERUWhVqtJSkoiODiY1NRUIdAgCUNmZ2fz7bffYjAY8Pb2pqioiOjoaDIyMloJQUhobGxEp9Nhb28vJpuoVCo+//xzrFYrK1euZPjw4fTu3Ruz2cxjjz2GwWDA1dWV0aNHExIS0qr3vL3voOXfr7/+Ot7e3ri7u3PNNdewZcsWXFxckMlkNDU1ERcXh7OzM3369CEzM5OgoCAqKyupr6/Hxsam3dq0TCbDycmpy2KXZ8L/slIrXKJ78qqqKk6ePNlqzJIEKcN9tpA606KiokTzhYuLCwUFBRQWFrJ161aMRiP79+8XrajR0dH88MMPpx3LarXi4uKCo6MjkZGRwjtK1FI3NzccHR356aefaGhoIDc3l7i4ODw8PPDy8hIexd/fn0OHDgkdsubmZpRKJUajEQ8PD9zc3Fp1i1VUVPDTTz9hMBjYtGkTgwcPZty4cSQlJTF27FimTJnCZZddRnp6Ovfddx9XXHGFUG8ZMWIEKpWKhx56qF05ZTg1n2v06NFiBjucar309PSkrq6OxsZGnnzySaKjo/njjz9ISkrizTffBE7RWj09PUlKSkKr1TJs2LBO1VLc3d15+eWXgVOh8fTp0wW3Pz4+HqVSSVhYGGlpaSKB5+7uLnrwO6KRtoRKpcLHxwcfHx8xk626ulpUBCQv7+joeNrz+78s4giX2J7carWSl5dHZWUlMTEx7ZZdziVcLyoqoqamhvDw8FbdVcXFxdxxxx3odDr8/f1JSkoSs8+8vLxEuUmCXq/n2LFjIgSXppKuXbsWnU7XKin2888/s2HDBqxWK4MGDSI6Oprq6mpR53dxcWHcuHH069ePwsJCdu3aJVhlEgOsI0+SmZlJZWUlCoWChQsXkpOTg0qlIiEhgbvvvhs4xdVvamrCaDSiUCgYNmwYGo2G1NRUAgMD8fHxOW0rIpfLGT9+PPX19cI7KZVKdu3axU8//cR7772H0Wjk4MGDJCcn4+zszJAhQ5DJZGi1Wo4dO8bXX3+NyWQiJCSEQYMGMWHChHYFFQwGAxqNhqKiIvr06YO9vT1lZWW89tprNDU14eDgwLXXXsuYMWN4+eWX8fX1xWKxiJlro0eP7naCTdKLc3Z2JjQ0FIPB0EogwtnZWXh56Zn9Xx2sAJfQntxsNpOSkoJKpSImJqbDmyqXy7vVMAGnFo+TJ0+i0+kIDAw8LYlSUlKCTqdDrVaj0+mE8L+k8S6NOK6srGTTpk3s27ePgoIC/P39GTRoEOvWreODDz5gzJgxLFy4sJVB/v777+IhOX78OCqVCl9fX5ydnUXrZFVVFWazmb59+4pZaXPnzgVgzZo1HDhwgFWrVnHFFVfw3nvv4e3tzaRJk6iqqiI4OBilUklGRobYFxcWFgohSXd3d959912++uorRo8ejUqlorm5mdWrV+Pk5MSoUaNajUeW8Oqrr7aSp3Z2dsbX15fHHnuMAwcOsHPnTmbPno27u7ug6QIigent7U1TUxNHjx6lrKxMqOB4enqKXvBjx46xYMEC0tLSxMz4V155hebmZiH0oVarufbaa/noo4+EBsDtt9/OrFmzyMzMJCAgoFW//NlArVbj6+uLr68vVqtViF1KU2qNRqOYf9fRgtITrv8HHWm0ScL60pjjM+FsxBwTExOFt8nPzxfXYLFYqKqqYvDgwUybNo3k5GSeeOIJEhMTKSsr45NPPmmVD1iyZAlr1qwhLy8PZ2dn/Pz80Ol0vP3221itVrZt20ZSUhLR0dHiPc8//zy33XYbNjY2go/d0NDAggULqKur48orrxT74hUrVohFMC0tjcDAQBwcHPjwww/RarXk5ORw3XXXCbbau+++y/Hjx3FxcSEoKIj33nuPCRMmnLYf7tWrF9dffz0ymYzRo0ezbt06kpOT8fLyorm5WfDUW2Lp0qVYrVbKyso4evSo4OUrFAp+/PFHNm/ejNFobPfBDg8P5+abb6agoEBktaXvtqqqShjPr7/+Kii1rq6uZGdni2ETUuJTUtytrKxErVbz6KOPMm/ePGpra4W+nMRU7KhE1x20FLsMCwtDr9dz/PhxiouLycnJEV6+rdjjpSrHDBfZk3c0vufEiRNERER0qf59Nsm7kJAQESpKC43VauXZZ5/lwIEDxMTEMH/+fBoaGvjoo4/Ytm0bNjY2jBkzppWR63Q6cnNzheJrv379iIiIYPjw4Rw6dAhHR8fTSmeNjY3ccsstuLu74+rqitFopLKyktraWlxdXTl06BCTJk1CLpfz0ksvkZWVBcAXX3xBfHw8lZWVQsJZyhhLXVhyuZwrrrgCONVQM3v2bBwcHE57uNuObpJkiqXOwPj4eEaOHNnqPbNnz+b777/H3d291Uij5uZm9u/fz+bNmykuLmb//v188sknp51v+PDhDB8+nGHDhon58ZLxhIeHo9frKS0t5auvvsJoNJKXl0f//v1pbGxkxowZFBYWiqYYJycnMd0mOjqaqqoqcnJyiI6OFlu69kp0EhHnbA0eTuUi1Gq16NqTvHx+fr5Qf3VxcTmncF0mk80CXucUN334f6is7b3uauBzTk0//c5qtb7fleP/bUKOUlhZWlraLYWYriq2SotH2+SdtMdtaGhg//79+Pj4EBcXx9tvv81vv/0mpqZ6e3tTXl4urjUvL48BAwYIiWKlUkm/fv2Qy+UsXbqUhIQEoXraEgcPHsTJyUkYxVVXXcWMGTNEB1h5eTkJCQn8+uuv+Pv7i1FIgGD13Xrrrfz44484OTkJkcmSkhK8vLzEQ75hwwaOHj1Knz59uPXWW6mqqiIrK4uwsDB8fHxITk5m5MiRjBkzBo1GQ05ODi4uLq0WzD///JN169Yxd+5c5s+fz9NPP92KSabVaklOTiY0NFRIU//111/ceeedHWbTJcmktrCxseHaa68lKCiIjz/+GKVSidVq5c8//yQrK0t8x35+fvTv35+ysjJCQ0Px9vYmNzeX6OjoVrXvliU6aK2II/275e+7Y/RSTkQulwuxS0DMlv/hhx/46quvCA0NpW/fvkyYMKG70swpwA3ANx29QCaTKYCFwGSgCIiXyWS//20NKp0lQlrOCYuJienWJIuuePLCwkKKi4vbXTzkcrngXV955ZX8+eef9OrVi++++466ujrBSzebzQQHB4trVSqVTJ48mXHjxrF//36Cg4MFZ1qtVjNixIh2r2XKlCli8omrqysVFRVC1qmsrAw7OzsOHTpERUVFu3O/ATEeKCAgAH9/f7RaLVVVVSQnJ2OxWHB1deXgwYOEhoaSmZlJXV0d33//vRC0+OmnnygrK+PAgQNMmTIFZ2dnSkpKBMlHaqmVtOdWrVrF7t276d27tzCkhoYGUlNTiYyMxMnJSRiPnZ0dOTk5ZyyZnQmDBw/mxhtvJCkpiYkTJ/Lll18KHriTkxOPPPII69evx9fXl8LCQg4fPsyMGTM6LXu1VcRpaexSM1JXw3qJCNUWkuruQw89JMQ+9+7di5eXV6uOu85gtVpPQKd2MxzIslqtOf957c+ckoz6e4z8TLBYLMTHx+Pr69tqIF5XcaY6uaQOI8k7t7d4SHVyaa/3zDPPsHLlSv7880/xGpVKJUpgx44dE8P74FQYXV5eTp8+fbrEopo0aRIxMTGsWrUKg8HAzJkzWbNmDQUFBfj4+FBZWcno0aM71AOTvGefPn1E95oUbgcHB2M0GqmqqiIkJIT4+HgiIyPR6XTodDrS0tJoaGho1S+gUCg4efIkcrmc4uJiXFxcqKqqEp5U2gePHz8ehULBypUriY2N5eTJk0RFRQkP9fXXX/PEE08wcOBApk6d2ul9gFORwq5du5g5cybx8fFYLBZmz57NwIEDWblyJUePHiU3N1eUIV955RXuv/9+ysvL+eqrr0TvgFSq7CqLrT0JrLaG31mvfGfQ6XSMGTOG667rVDz1bBEAFLb4fxHQpZXkghl5e2KOdXV1NDU1ER0d3eGUi87QUZ3caDSSmJiIm5tbK3WYlrBarTg5OVFeXi4IFt7e3lx11VUsXLiQuro6ANzc3LjzzjtJSEhg6NChFBcXk5WVxYEDBxg1ahRubm488cQThIaGCj32jmC1Wlm0aBEFBQW4u7sTHx9PWloacrmca6+9lrlz53Lw4EF69epFdHQ0a9asEcerr68nLS0NR0dHiouLT2tR1ev1YlRSSUmJ4M9XVVURFhbGoUOHGDZsGBEREdja2hIREYHRaGTUqFFs3LgRf39/wsPDycnJYdSoUSxevJj33ntPcAnMZjMLFy7kxRdfbLX/BRg9ejRHjvx369jc3Mxvv/2GyWRi+vTpODo60tTUJIZI1NTU8MADD6DX61m6dKloOjEYDAwcOJCmpibs7Oy44oorKC0tJSYmhkmTJnHs2DF8fX3x8vISyTkpUQsIzsGZMt9tnx9oHda35NafbfKus+x6R9JP77zzDtOnT2/nHecPF82TFxUVUVhYiLOzc7cnXbREe+G6VqslMTGR8PDwdscrwX8plFJ3lKS9VlFRQU1NDR9//DHl5eVkZ2ej0WhYvnw5CoWCuro66uvr0el0ODg4sGbNGtGNdfz4ceHhJLSdlZaXl8eJEyfw9/cnPT1dTOfo27cvs2fPJjQ0lGuvvRaTycSxY8c4ePAg48ePp6KigtzcXOrr60Xd/fXXXxeMueLiYpYsWUJeXh55eXlceeWV7Nu3jxEjRuDu7k54eDgVFRVs2rSJ/v37ExMTw4YNG0hISMBsNnPgwAEUCgWjR48W87yvu+46xo4dy759+5g3bx4mk4kxY8YwdOjQ08Jjq9VKWlqaEOF49913yc/PF8IYI0aM4LXXXkOn0xEaGiomkUrJMUnP3tbWluHDhzNw4EBqamp47LHH6Nu3L0lJSTzwwAOiFt63b1/q6+u56667CAsLIywsDIPBIJRwtFotLi4uokTX1S2g5L2lRpqWevmAKEt21lN+DtJPXUUx0LL0FPifn3WKC27kLQUWhw8fLuZ1nS3aGrnEjhs0aFCrhg0JLUOzlq2AMpmsVRJFq9Vy5513cvjwYRoaGrCxsUGlUqHVasUx6uvrhWDiyZMnSU1N5V//+hdNTU2EhISIjrFHHnmECRMmsGzZMtG4YWdnx1VXXcWhQ4ewWq0MHjxYJKTGjRvH5s2bsbGxYcCAARQWFlJRUYGHhwcvvPACWq0WuVzOjh07mDFjBidOnGDFihXs2LGDwMBALBYL27ZtY+LEiSJJpFAoxN6/traWrVu3kp6ejr29vRieoFAo6NevX6uoysXFhWnTprF9+3YqKioYM2aMKHN5eHiI+7d9+3buvfdeamtr8fb2JjY2lsrKSjw8PLC1teW9995j3759uLu7U1JSQk5ODk8++aRQYD18+DD9+vVj+/btLF26lE8//VQMKgSEBLPkTdevXy++NwlqtVoMQJC+H0loQ6VS4enpiaenZ5eTYC29vCRkkZWVJRKUUnmzvYz9RSihxQN9ZDJZKKeM+2bg1q688YKG63q9/jSBxXMVjmiZXc/Pz6esrKxDdlzLVVkKvzqCvb09FosFnU4nDFx6UGpqasRMLxcXFyoqKjh06BB1dXUUFBRga2tLTk4OcGrU0KJFi0hISODDDz/EaDQyevRoxo0bx4033iiEDaVa+s8//0x8fDxXXnkl7733Hg0NDeh0OqKjo1m3bh1qtVp4mAkTJvDBBx+Ql5dHamqqqPMPGTKEkJAQwdpyc3MjNzeXpKQkNBoNVVVV9O3bl9zcXAwGA0FBQTQ0NKBWq1EqlSxbtozo6Gj69euHWq0mOzsbi8XC5Zdfzr///W+2bNmCn58f06ZNE1HFhg0bBEe+srISmUzG0KFDufvuu8W1R0REkJWVRX5+Punp6WzdupWbb76Z5uZm3nrrLRISEli8eDEajYa5c+eKBW3GjBm4ubkRGxuLyWTigQce6DQUbzsAQqfTCQeg1+txd3fH09NTiEZ2BXl5eZhMJtGN2F4XnWTs5zg95XrgC8AL2CiTyY5brdarZDKZP6dKZVOtVqtJJpM9AmzlVAltidVqTT3DYQUumJFLElBtBRbPVedNMvLU1FTMZnOH+u3tTTHpCBLb7qmnnsLNzY0jR44wYsQInnjiCXbs2EFISAjZ2dm8+uqrlJaWsnbt2lYKMUajEbPZjIuLC83NzYSEhLBt2zb0ej1WqxW9Xs/o0aNZvHgxBw4c4LrrriM2NhY4NfjPbDZTXl7OhAkTkMvlTJkyBblcTlRUFFlZWcjlclQqFSdPnsRkMomEk7SVkIQhXF1dUavVvPfee2RmZtLY2EifPn3w9fXFaDSKrURzczMRERGEhoYKzfmNGzcSGxtLZGQk7u7u9O/fny+//JKlS5dSV1eHXq8nPj6e6dOns3btWvbu3SsGLA4dOpTXX39d8L8B5s2bx759+3Bzc2PdunWioiHNcP/ll1/45JNPxORTg8HA119/jZ2dHQsXLsTHx4e3335b8AC6Czs7O4KCgoSASU1NDeXl5Zw8eRJ7e3u8vLzw8PDoULFG2vsPHDiwVQTYXonOaDSSlpZ21v3rVqt1HbCunZ+XAFNb/H8TsKm7x79gRl5ZWdmhBNS5Npg0NTXh7+9PSEhIhwm2lgZ+JkjRRkBAAFFRUYwePRqj0YhSqUQmk4k5ZKtXrxbH1uv1qFQqlEolvr6++Pv7i8misbGxPP300yxdupSkpCRsbGx46KGHxB66urqa1NRUsRBI+nIqlYqlS5dSWVnJypUr+eWXXwgLC+P+++/no48+EnPAExMTqaqqoqmpicrKSuRyOXFxcYwaNYqwsDDUajXx8fFiLPJdd91FVFQU9fX1/Prrr9TW1tKrVy88PT3FQpSZmUlISIjYn956663k5+eLBKHZbBYRU0FBAb/88gtGoxFnZ2fs7e1xc3Pjjz/+IDIykgkTJqBQKIiNjWX79u1s2rRJqKqGhISQkZGB2WymtLSUNWvWCBGO5uZm9Hq9YL0FBQXx559/nrWRt4Q0M07qy9dqtVRWVooSpIeHB56enkJoIicnp5WBtwfpXpnNZp566imuuuqqVsSpSwkXzMilNsS2OBcjb2xsJCkpCbVa3S7BAtqfYtIRNBoNKSkp9OvXr5W2eHs12GnTpqFUKjGZTGK2mZeXF/PmzeO3337DYDBw5513cu211+Lg4EBxcbG4nt69e2Nvby+SO7a2tshkMpYvX45arcZoNBITE0NZWRnOzs4UFxdTWlrKY489xpEjR4iKiuLKK68U3ikqKorZs2dz7bXXUlNTQ0hICC4uLqxbtw5HR0fCw8PJzs4mKCiI/v37C6ZZenq6mLzy2WefsXPnThHleHt7o1arCQ4OFvvcl19+mXfeeYf9+/ej0+l47bXXGD9+PI6OjiiVSpRKJcXFxZSVlbFz505RlXjttdeAU227knqOjY0NU6ZMYfLkyXz//fd4e3uTmJiISqXCycmJ0NBQHB0dMZlMYq5Yy4mo5wvSxBNpJp7RaKS6uprCwkKRA1AoFKLh5kywWCw8/fTTuLm5MX/+/B5lGHHC/xhKd1FZWUlmZiaDBg0SIgAt0VGC7UzHy87OZvDgwV2iIzo4OPDggw+KCSYlJSVUVFTwxhtvcN111/HII49gZ2dHZmYmSUlJ/Pzzz2g0GuRyOfHx8dx999189dVXbN++nSFDhjB48GBmzJjBggULBA9+2LBhfP/992Ka6bFjx5DL5Rw6dAh/f3927dpFQEAAMpmMkSNHMm7cODEmaf369djY2LB//34xzre8vJxvvvmGp556CgcHBzHGWKLVBgYGUl1djaurK7fddhu9e/cWc8SrqqoIDAzk3nvv5dChQ8IAqqqquPLKKxk9ejTff/891dXVIolnNBo5cuQI7733HgMGDMDFxUU0/RiNRr777jsGDhyIVqslOzsbR0dHAgMDGTBgAH379mX48OEsXbqU8PBw3n///VZCFhcKUsOQr6+vUCBydnYW8ltS8q7tM2KxWHj++edRq9WXtIHD32Dk3fXkVquV/Px8KioqiImJaZcA0R0Dl+i0lZWVDB06tFuyQM899xweHh4sXbqUoqIi9Ho9zc3N/PXXX9x2223Ex8eTmZnJkSNHqK+vB049DHFxcVxzzTX079+fgQMHihKWv78/n3/+ORkZGYwdOxaNRsPo0aNxd3cnNzeXyMhIDh8+jJ2dHUePHhXqsc3NzSQkJKBWq9FoNNTV1QkD3LRpE7/88oso+Rw7doxevXoxceJENm3aJOigGo1GJPXkcjlZWVlMnDiRt99+m7y8PNF//dBDDxEdHc3Ro0cxmUyEhYVx0003oVKpCAoK4oknnkClUuHn54dWq6WxsZGPPvoImUzGc889R1paGhqNhvr6eurr69m7d6/gT+j1ejE+67nnnmPkyJFMnToVuVx+NrPEzgm5ubk0NjYSHR0tDLa5uZmqqioyMzPFqGlbW1s8PT15//33RR7hUjZwuMDZ9fYgrfhdgUQpBU5rP5WSSC33350ZuFTOs1gsrb7MruKNN95gx44dNDU14e7ujlarFUID+fn5LFy4kBMnTmAymVppibu5uVFfX09OTg7bt2/nzz//pK6ujgEDBjB58mTeffddPv30U44dO0ZBQQH29vZcddVVPPLIIzzyyCM0NjZiNpv56KOPOHLkCKtXr6a0tBSz2YyzszOVlZViDy6x+aTPW1tbyyeffMKLL76IWq0mICCAFStWMGDAAI4dOybaOn18fFi5ciXZ2dkkJycTHBzM4cOHKS0tZcqUKaL3vX///qIkNWnSJCGgKA1mvO6661rVmFevXs0LL7xAXFxchyQmnU7H/v37GTly5N/Sky1p2UnClxJsbW2FjLZ0Lzds2MCHH36I1WrlpZdeora2tss6+n8XLvoS1FVPbjAYOHLkCI6OjgwcOLDVzZeO0R0DNxqNYqxRRETEWa2+EofdycmJjz/+mNTUVL7//ntWr16Nra0tWq1WED1sbW2xs7PD2dmZ3Nxc+vTpQ3R0NPv27cPe3p7a2lrq6uo4ePAg48aN4/vvv8fX15f+/fvzzDPPUF9fT3l5Oa+88go33XQTH374ISEhIfTv3x8HBwcxREGtVmNnZ4eNjU2rCS8SLBYLhYWF1NfXU1tbS3l5Oc3NzYwcORKNRiN05GQyGb///jt79uzBzs6OyspKvL29RfnO29sbpVLZLv22ubmZoqIiQkJC+Pjjj7G1tUWtVotk2gcffEBMTAxeXl5cf/31+Pn54eHhwbBhw/D398fDw6NVe+7FRH5+PvX19acZeFtIIh7l5eWMHDmSjRs3otFoKCws7PA9lwouyT25NLz+TPPNWpaEOjNYnU5HUlISISEhHTLiuoJXXnmFDz74gCFDhohEnLu7O++88w4///wzjo6O2Nvb09jYKPTFpMYWq9VKbm4ugwYNIjs7m7FjxzJ27Fg+/fRTiouLsVqt7Nu3j4cffpg1a9awb98+ioqKiImJYdSoUaJxZMuWLdjY2GBnZ8e0adNYu3atMHJpOKD0B05FPAaDQTTd2Nra8tdffxEdHY2LiwsajQZXV1cRmkoKtp9//jlr1qwRumsjRowQpTcJFRUVvPvuu/zxxx8olUoGDx7M4sWLCQwMpKKigmXLljFz5kz++OMPEhIScHZ2Jj8/n3379lFYWEhgYCCNjY3IZLJujYs6X8jPz6euro5BgwZ1qUnls88+Iy0tjR9//BGVSkVkZORFutJzw98Srp/Jk0v66lFRUe2SC6SyWF1dHZ6enp0m2Orq6kS/+rnQaQEuv/xywbxqiV9++QU3NzcyMjJQqVSiB3rIkCE8++yzREVFkZiYiFar5Y033kCj0eDh4YFcLufdd98VpIqhQ4cyZMgQfv/9d1Hn3rx5M7t372bQoFPTcUJCQti1axcRERFotVpmz57NihUryMjIEGqpUqedJPkkl8txcHAQCcNffvmFzZs3C4HGu+66i5kzZ/LTTz+RlZVFQ0MDjz76KIcOHcLe3l5ECCtWrKCkpESIXOzfv5/ExEQqKytxcnIiKSkJo9Eo5KZsbGyor6/n0KFDQgknNjaWjIwMZDIZ5eXleHl5CRWbi4mCggJqa2tFX/6ZYLVa+fe//018fDyrV6/utAPuUsMlk3iTPF11dXWnCbaQkBCKi4vJzs7GxcVFKH22/bLKysrIz89nyJAhFzSRc+ONN/Lzzz9jZ2eHi4sLTU1NNDQ0kJCQwKOPPsrrr7/OggUL2Lt3L0qlkhUrVhAbG8u3335LY2OjKGPdeeedKBQKUlJSqK2txdbWFpPJhNlsRq/XExQURFZWFnV1dSQmJvLRRx8REBDAvn370Gg0mM1mPDw86NWrFwqFguTkZIxGIy4uLiLykSivSqVSzERPTEzk8ccf58EHH+T5559HoVBQUFDAXXfdxb///W9cXFy45pprOHHiBAqFgvnz55OdnU1WVhYpKSkolUp0Oh133HEHX3zxBRUVFRgMBlQqFatXr2bAgAE0Nzfj5OTEtddey4ABA/D09BS1fqle7enp2a1mk7NFQUEBNTU1XTbwxYsXs2fPHn755ZcLNqXlQuKSMHKz2UxqaqoYydsZg03qzW6Z8MnMzMTR0VEYvLQPHTZsWKfC+OeKF198kYceeoiSkhKWLVtGVFQUn3/+Oc3NzVRUVFBdXc2BAwcE//mtt97irrvu4ujRo5jNZhwcHLCzs8Pd3Z2XXnqJiooKXF1dGThwILm5uZSWluLn58cdd9zBli1bOHToEA0NDTQ2NtKvXz/q6+vFFqi6uhqlUslDDz2EUqkkPT2dhoYGlEolkZGReHh4MGPGDCZMmMAbb7xBYWEhV111FRs2bOCHH34Qc8Tlcjk7d+5k6dKlhIWFCSEHi8XC559/jkqlIj8/X6jKjh49mieeeIKrr75aDCPQ6XSkp6czcuRIPvvsM8rLyxk0aNBpLbPSGOKWzSaurq54eXnh5ubWLb2BzlBYWCh077uSl1m2bBkbN27kt99+O5eJpX8r/pY9eUsjlzS0/Pz8WgkCtkRHCbaWE00kmd3y8nLhcUJDQ89Jo707kJpdPvjgA3bu3El9fT1lZWWMHDmSq6++mvDwcNLS0lAoFIwdOxZ/f39kMhn9+vWjsbGRq6++mqqqKurq6pDL5TQ3N+Pt7c2uXbuwWq2sX7+e+fPno9Vq+eabb4Q3lgyisrJS3CtHR0dGjRpFY2OjkDE2GAz4+Pjw7bff0tTUJEY5ffHFF3z55ZcMGzaMrKws9Hq9YHJZrVaWLFmCQqEgLCyMlJQUZDIZubm5ghFoNBqRy+WUlpYKctDbb78tPLNcLicoKIj6+noGDx7cinTUEm2bTVou3nZ2diKsPxdDKywsFFNjumLgP/zwA7/88gsbNmzosnLRpYi/ZU8ueZ2GhgaSk5Pp379/h2WIM00xaXs+W1tb6uvrCQ8Px8PDg4qKChITE5HJZHh5eeHt7X1R6q+7du1CpVIRHh7O9OnTcXV1Ze3atcyZM4fGxkZ8fX2ZOnUqgYGB/PHHHxw4cID09HTi4+NJT09HqVRy9913k5qaKhJocrmcjIwMevXqxdChQ2lubmbIkCE0Nze3MnI41TKanJzMrl270Gg0ohYuTVDV6XTMmjULrVbLyZMnqa+vp6SkBLVaTX19PQqFAj8/P8GHLyoqEvcYTmXsfX19ufrqq1m7di0ajYbc3Fx++eUXHnroIe655x7R6CJJaPXv37+VDPaZ0HbxPh9hvSQ20ZUQHU6p5K5cuZKNGzd2V8rpksPfVkIrKysTkznbM3DJe0s00s6+GK1WS0JCAiEhIQQFBWFvb09ISAixsbEMGjQIhULBiRMnxFxvjUZzQcbNFhcXEx0dTa9evQgJCRGqKXV1dSgUCoKDg8W0lSFDhuDo6CgEAufPn099fT0ymYyMjAxSU1PFHnD06NGkp6dzzTXXUFxczNSpU5k0aRLV1dX07t0blUqFXC7H3t6e4OBg1q9fL8JcKXGWnZ1Nfn4+JpOJbdu2ER0dTU1NDWazGa1Wy8iRI0V+4NZbb+Wll17C1taW3r17Exsbi4uLi/DMc+fOJScnB7VajVwuJzQ0lIMHDwKIcp6fnx9yuZxBgwZ12cDbQiaTiZA+JiZG5Fdyc3M5dOgQJ06cEJLWZ/pOKioqxAjnzrB+/Xq+++47fv/990tWgbU7+FuEHPV6PUVFRcTGxrabqewuRbW6uprMzEwiIyPb/VJsbGwEqUHiKkt7P3d3d7y9vXF1dT2nZI80mFGj0TB9+nRuuOGGVr/v168f0dHRHD9+nEcffVQ0qkyfPh2VSsWCBQtahdy9evUiJydH8OSXLVvGlClTBMvuwIEDFBcXi5FKnp6eVFZWYjKZmD9/PtXV1TQ1NQmevFTvNhgMNDQ0cMcdd5CSkiKuz2g0MmTIEEEZDg4O5rbbbuOyyy7Dw8MDi8UieO8ffvghjY2NbNq0ifDwcE6ePImnpydz5swRx5P6AgYNGnReDeVMYb29vb2goUphfXFxMeXl5URFRXXJwDdu3MiXX37Jxo0bz7kac6ngoobr5v9r78yjojrPP/4dRUAWWUZmRBANmxIQ0WCsy3FB40JRQI1bmrrhFo2kVaMeqzX1KCFNTKv2mJ7qr1gbl8gmlcXdaKNVVBBBFNlUYGBmYCCA4DAz7+8PvW+G/Q6zwXg/53AODPdwnxnuc+/7Psv3USrx8OFDEELoAMOWaOrgJSUlEIlEreSJ2kO9VplpQRSJRHj8+DHs7OxoC6ImxTIqlQqPHz8Gj8ejU0FbYmFhgW+++QaEEDQ1NWHevHl4/PgxAODo0aNUCJD5DK5evYrNmzejsbERjo6OmDt3LpVk6tu3L7Kzs5GVlQVPT0+sXr2atqwqFApUVFTQqsLGxkb07t0bjo6OkEql6NWrF7y8vLBx40bcu3eP1uIzDTQDBw6ETCaDg4MDLSkuKSnBzJkzcfLkSWqjUqnE1KlTkZ6ejsOHD1NRS+AX0Ue2fQFdpeWynhG4zMrKounEV69eYdSoUawc/MKFC/j666+RkpKi8Xjs7oxen+TqOm+NjY3IzMyEi4sLjd62RJMKNkIIrSlm+09sScsWxOrqapqnt7a2hkAgQP/+/TuMzjOTV+3t7dttfVWHx+PRsUDV1dUghGDXrl2wsrKiGnOMPnt+fj6uXLmC8vJy2h3l5OSEIUOG4MGDB1AoFBCJRFQHnvncLCws6M0EeO2QjY2N6Nu3L83Hl5WVwdraGpGRkfj3v/+N+vp6ZGZmQqlUwszMDN999x1KSkrw17/+FcBrvbnFixc3++x27NjR6v1VV1fj8ePHzUQfDYF6d9mQIUPw/PlzlJSUwNraGunp6TRa31aqFXgdR9m7dy+Sk5O7fZmqphhkuV5TU4Ps7Gz4+PjQ9FZL2AbYgF9EHqytrTF8+HCd5FR5PB5VFmGGGIjFYjx79oyOxFXXOQd+6UUfNGhQm3O+2oPP52PVqlXYt28fbGxs4OzsjFevXtH5XB4eHlT2mHlyM1pjIpGIKtbK5XKIRCIcO3aMVhLa29sjJiYGaWlpOHr0KC1ZNTMzo3vqPn36oLy8HEFBQRg6dChOnjwJPp+Pmzdvon///rC0tIRSqYRYLKZ7XbFY3On7qqqqQl5eHgICAowajRaJRJBIJBgzZgz9rGQyGW02YZb1Tk5OMDc3x40bN7Br1y4kJye3q5rbk9G7k4tEIhQXF2PkyJH0zs7sEXv16qXx8ryxsRFZWVlwdXXVW5M+U7Fma2sLDw+PZtFdQgidSPr06dNmUsma8Mknn2DWrFnIz8/HmDFjkJaWhvv372PZsmUYNmwYAODhw4f473//C2tra+zduxdz585FQ0MDKioqqByVhYUFRCIRbG1t0bt3b7i5ucHBwQHXrl1DYGAgCgoK4Orqivz8fDg5OSE/Px+5ubnNgp6TJk3C3bt34ejoiMjISNy4cQOBgYHw8fGBVCqFpaUlnc3WHpWVlcjPz2e9bdIXIpEIZWVlCAgIaDZIgc/ng8/nN1vWHz9+HIcPH0ZdXR2OHj2qVclzd4bXSYRZq/BzTk4OampqMGLEiGZL3vT0dAQEBFARBbYOzuz1hg0bZrQ9k1wux7Nnz/DixQtYWlpCKBRCIBDorUpLLpdTFZKZM2fSJpvo6Gj84x//QFVVFUaNGoWtW7ciMzOTNsJEREQgOzsbVlZWqKioQENDA2xtbeHk5ESlqk6cOAFra2vI5XLk5OTA3d2dBpvkcjmkUinEYjGNCzCyyC3fp0QiQVFREQICAoxaEVZeXo6SkhJ6bXVGeno6Nm3ahN/85je4desWQkJCmgUPNWXFihU4d+4cBAJBs6AmAyEEkZGRSElJgZWVFWJiYpgRVPor74OenVwkEsHBwaHVRXH//n06coitg4vFYhQWFsLf39+oeUtGKpm5cTGOoMtIfXs0NDTg2rVr8Pb2ho2NDQoLC+Ho6IjBgwe3Wh4zN6OysjJERkZCqVRi5cqVWLRoEe7duwc/Pz8MHjyY1XmZAKVEIkFNTQ369etHA5TMAMOAgACj1nRr6uCZmZlYt24dEhMT21UZ0pTr16/DxsamVeaCISUlBQcPHkRKSgpu376NyMhI3L59G+jJTt7U1NRmxRkzhJBpfugswPbs2TNUVlbC39/fqBcSI5Xclh0qlQpVVVV0DBIzuMHR0VGnZZkAqOQS288jMzMTMpkMkyZN0lrggNGrl0gkKC8vh1KppPPWjLVMr6iowPPnzzFy5EhWDp6dnY1Vq1bhzJkzVHNeVxQXFyMkJKRNJ1+zZg0mT55MA5hDhw7FtWvX4OzsrFcnN3ienKk9f/jwYadPPiY1RQjpksiDriCEID8/n0olt2VHr169aI5WfXBDQUEB+vbtSyP12t6kiouLUV1d3WzP2RkBAQFanVMdRq++rq4OVlZW8Pb2RmVlJY1XMAEta2trvTaZMGjq4Lm5uYiIiMDp06d17uCdUVpa2mw0t6urK0pLSzUK2nYFvafQ1GFEFl1dXeHi4oKqqiqUlZXh8ePHsLe3h0AggIODA+0XZ24EzAxqY8DIP1tYWLCO5KsPbmAi9RKJBBkZGTAzM6Mltpo8+ZiUoVwuZ12aqS+eP3+OyspKeqOxtbWlTSbMNNXO9vG6QCwW060CGwfPy8vD8uXL8f3331MV3rcBgzzJ24qg83g8+uRjKpcqKiqQl5cHKysr1NbWwtPTs91Jn4agqakJWVlZzQYeaop6pN7d3R0NDQ2tIvXMk689VCoVcnNzYWZm1qFMsCEoLi6mwdSWNxpzc3MMHDgQAwcObFVopL6P18X2hUlvso0FFBUVYenSpTh27BjtzTc0Li4uzdLHJSUlcHFx0ft59e7kbFJk6pVLMpkMOTk5sLOzQ1FREZUh6t+/v873th3R2NhIYwe6TK307dsXbm5ucHNzg1wuh0QiQV5eHi1NFQgEsLW1pZ8TUxPQr18/VsU2+oIp23358iUrJZWWhUbMPr6wsBAWFhb0d13Zx0skEpqWZePgz58/x5IlS3DkyBGjyUwBrxuHDh06hEWLFuH27duws7PT+1IdMEDgTS6Xs6pgA15H41+8eAF/f39YWlrS9lGxWAypVEr3tk5OTnrtEa+rq8PDhw/h4+PT5cYKTVEoFKisrIRYLEZdXR0cHBzA5/Px7NkzDBgwAK6urgaxoy2YmIRcLse7776r9Y2GGW4glUo13scz6Tq2Dl5aWooPP/wQhw8fxtixY7WyuzMWL16Ma9euQSqVQigU4osvvqBVh2vXrgUhBBs2bEBaWhqsrKzwz3/+E4GBgUBPjq4vXrwYSqUSYWFhmD59erupL/XmDj8/vzYdmCliqKiooFpkjMPrMjfLVG0NHz7cKMqhwOvluVgspnPEmb2trpa6mkAIwZMnT0AIaXcktDYw+3hGcZZNPp6tg5eXl2P+/Pn4y1/+gokTJ+rUbh3Tc51cpVLh7t27iI2NxYULF+Du7o7Q0FDMnDkTtra2AF4vRx89egRzc3N4e3uzvohevnwJsVgMsViM3r17QyAQaBzMagmzkhgxYoRRq7aY+dteXl5wdHSkS93KykoqoODk5KT3dCIhhApwaPK/6Sot8/G2trYQCATg8/mQyWQoLCxkXXAjFosxb948fPXVV5g6dape7dYBPdfJ1VGpVHjw4AFiY2ORmpoKFxcXBAUF4fz589i/fz+GDBnS5b/NyCyJxWIqH6yJQASTi2d0v/QtF9URzFahLeFJZjXDbF+Ym5uTk5POa8UZzXtLS0t4eHgYPBagvo9nNOPc3d0xYMCATm/AUqkU8+bNw549ezBz5kwDWawVpuHkzf4oIUhKSsLatWvh4eEBGxsbhIWF4de//rXWHUCvXr2iF4ZCoaDpqvaW3sxyVKlUwsfHx6ipqZqaGjx69Ih1DzZzc5NIJFAqlZ2+V7aoVCpkZ2fTGWXGhKmJHzZsGG0y6WgfL5PJMHfuXOzcuVMvs9T0hOk5OQDs2bMH8+bNg4+PD/Ly8hAbG4tz587B2toac+bMwezZsyEQCLR6gjQ1NUEikaCiogJyuZxGr5k6cyZybWNjA3d3d6OmphjhixEjRnRJoqplrTmfz4dAIKCTOtnC9Pw7ODiwLnvVF+pNL+pL9Lb28QqFAkKhEAsXLsSWLVvoHPUegmk6eZsnexOAi4uLw9mzZ9GnTx/Mnj0boaGhcHZ21soJFQoFdQJGu0wmk2HQoEFGjVwDr6u2mJyvLoKISqWSOkFtbS0cHByo8mlHKxWlUokHDx7AycmpWWWWMaiqqsLTp09bOXhLmH18dHQ04uPjMWzYMERGRiI4OFjruEpaWhqt+4+IiMC2bdua/T4mJgZbtmyhue4NGzYgIiKiK6d6e5y82YnfDCaMi4tDYmIilEolQkJCEB4eDldXV60cvq6uDhkZGejbty+ampr03ljSESUlJVSeSB+xAKaXmplkqh7MUo/UKxQKPHjwAM7Ozkafs804eEBAACtHra+vx4IFC2ibblJSErZv366V7JRSqYS3tzcuXrwIV1dXjB49GidPnmw2QSYmJgZ3797FoUOHunyeN7ydTq4OI5YQHx+PhIQE1NfXIyQkBKGhoRovs5l2VSaw1bKxpGV5rT7fE1M9xghN6htCCH7++WeqBW9paUlvbjk5ORg0aJBRKwyB13vqJ0+esO5Lb2howIIFC/DRRx9hxYoVOrPj1q1b2L17N86fPw8AiIqKAgBs376dHtNTnNx4YWQN4PF4GDhwIJ3yKRaLkZiYiM2bN6OqqgrBwcEIDQ3F0KFDO3R4pq5aXZpIvbGEKa8Vi8XIy8ujnWSaar51BiEEeXl5UCgUBq1D5/F4sLOzg52dHby8vFBfX0/LTvv27Qu5XI7Gxkajqbpo6uCNjY346KOP8OGHH2L58uU6taWtZpI3baHNiIuLw/Xr1+Ht7Y1vv/3W6NuctugRTt4SgUCA1atXY/Xq1aiqqsLZs2exa9cuiEQizJgxA2FhYa0ml5aWlqKsrKzDmeQthQGZTrL8/Hw6nUXb8lomNWVubq6T6jFtMDMzoy28NjY2kEgkyMnJgVKppEFKQ3WTVVdX48mTJ6yX6K9evcJvf/tbBAcHY82aNUb5HGfPno3FixfDwsICf//737F06VJcuXLF4HZ0Ro9YrrOlpqYG//nPfxAfH4+ioiJMmzYNc+bMQWpqKoKCgqjml6a0V16raesoE7lmRB+NCSOs6e3t3WqqCZOVYKLXfD4fTk5OsLOz04szMeKPbLXhmpqasGzZMowfPx6bNm3Si01sluvqKJVKWrjUBbg9eVeora1FUlISdu7cCRsbG0yePBlz585FYGCg1stjRuRRKpU2E3nsKArMdLQJhUKjR/OZijo2U02USiWtqWfGHOsyZqGpgysUCqxcuRIjR47E9u3b9fYEVygU8Pb2xuXLl+Hi4oLRo0fjxIkT8PX1pccwM+oAICEhAdHR0fjf//7XldNxTt5VoqOj0atXL6xfvx4XLlxAbGwsHjx4gIkTJyIsLAy/+tWvtA54MeW1EokEvXr1arO8Vi6XIzMzE4MHDza6WODLly/x4MGDLo1yVo9ZyGQyuoXh8/ldygzU1NQgNzeXtYMrlUqsXbsWXl5e+OMf/6j3JXpKSgo+++wzKJVKrFixAjt27MCuXbsQGBiIOXPmYPv27UhKSqJz6g8fPkxFODWEc/KuwijCqvPq1StcvHgRsbGxuHv3LsaNG4fw8HCMHz9e6xRWW+W1/fr1w5MnT9pcFhsapmTWz8+P9g50lZZbGAsLC40ahhgHZ1v8o1QqsXHjRgwYMAD79u0zaixDD3BOri+amppw9epVxMbG4ubNm3j//fcRGhqKSZMmaV2UIpfL8eLFCzx79gyWlpZwdnbWSclpV9HX2CIGpn1UIpF0OmBSUwdXqVT4/e9/DxsbG3z99ddGLT3WE5yTGwKFQoEbN27gzJkzuHHjBgICAhAaGoqgoKAupZSqq6uRm5sLf39/mJub03p6dXEIfck4t4Spidf32CKGxsZG6vAKhaLZFNLa2lrk5OTQwYWdoVKpaKXZgQMHTNHBAc7JDY9SqcTNmzcRFxeHK1euwMfHB2FhYfjggw9YyUF3VIfesry2qzXmbFEfW2SIsc0taWpqou+3rq4OTU1NGDZsGIRCYafvV6VSYdeuXaivr8fhw4dN1cEBzsmNi0qlQnp6Ou2J9/T0RFhYGGbMmNHmsre8vJyKC3a25G8ZudZ1eW13GVsEvN4uPHz4EG5ubqipqcHPP/8MOzs7Klvd0oEJIdizZw/Ky8tx9OhRg4tlGBjOybsLKpUKmZmZiI2NRVpaGlxdXREaGorg4GDY2dnh/v37IIR0qQ69ZXmtnZ0dhEJhl1NVUqkUBQUFrItL9AkTD1CvNFQfO1xVVUUHTDKR+ujoaBQUFOBf//qXqTs40NOc/MyZM9i9ezdyc3Nx584dRsOqFZ11+HR3CCHIzs5GbGwskpOTQQiBjY0Njh8/jv79+2v1t1umqmxtbSEUClkPahCLxSguLjb62CLgFwfvKB6gHqnfv38/MjIy0KdPH5w9e1ZnaqadXW9MBd29e/fA5/Nx+vRpQxYs9azadT8/P8THx2PNmjXtHqNUKrF+/fpmHT5z5sxp1uHT3eHxeBg+fDiGDx+O2tpaPH/+HMOHD8eCBQtga2tLe+KdnJw0Xnp3VF5rbW0NoVDYbnlteXk5Xrx4wVoHTZ/U1dV16uDA68+yX79+sLW1ha+vLyQSCSZOnIglS5bg4MGD8Pf318oONtfb0aNH4eDggPz8fJw6dQpbt27F6dOntTpvd0HnTs5GtP7OnTvw9PSEu7s7AGDRokU4e/Zsj3JydebOnYvx48eDx+Nh165dKCwsRGxsLJYsWQILCwvaEz9gwACNHb7loAbmiVdUVEQHLjLltWVlZRCJRKyniegTJifPNqJPCMGRI0fw448/Ij4+HhYWFti6datObGFzvZ09exa7d+8GAMyfPx8bNmygKsM9HaNcCWw7fHoKEyZMoN/zeDx4eHhg69at+Pzzz/H8+XPEx8dj+fLlIIQgJCQEYWFhXeqJZ554/fr1g6enJy2vzcjIoLPdu5ODs1W8JYTg2LFjSE1NRWJios5jCGyuN/VjmFnulZWVWm+9ugNduhqmTZuG8vLyVq/v3bsXoaGhWhtlKvB4PAwePBi/+93v8Nlnn9Ge+HXr1qGhoYH2xL/zzjtdemLY2NjAxsYGvXv3hlQqhaOjI7Kzs2l5rT4EHjujvr6eOjjbopsTJ04gPj4eSUlJRs8CmCJdcvJLly5pdVJjjYsxJuo98evXr4dEIkFCQgI2bdoEmUxGe+I1lT4uKipCbW0tHcT4zjvv0PLanJwcqFQqODk5QSgU6j1PXl9fj6ysLI0c/IcffsD333+P5ORkvY2kZnO9Mce4urpCoVCgpqZGa1HR7oJRqgtGjx6Np0+foqioCHK5HKdOncKcOXOMYYpR4PF4EAgEWLNmDc6fP4/U1FS4ubnhD3/4AyZNmoS9e/dSB20PZqpJfX09/Pz8mqXZLC0t4ebmhvfee4+m85hsR1FREerr63X+nhgH9/PzY+3giYmJOHr0KJKSkvRaicfmepszZw6OHTsGAIiNjUVQUJBJ7McBPaTQEhIS8Omnn0IikcDe3h4BAQE4f/48ysrKEBERgZSUFABtd/hwvK5QY3rii4uLMW3aNISHhzdTkGEmnCoUCvj4+LC+GJk+cUbRtX///hAKhVqX1zKdbZo0viQnJ+Pbb79FcnIyHBwcunxutnTWUdbY2IiPP/4YGRkZcHR0xKlTp2igzgD0rDw5h+6ora1FcnIy4uLikJeXh6CgIMyePRsJCQlYuHAhRo4c2WXnbFle6+joCKFQqHF5bVcc/MKFC4iKikJKSorJLIm1hHPytqiqqsLChQtRXFyMIUOG4IcffmjzidC7d286qtbNzQ1JSUmGNlUnNDQ04Ny5c9i+fTusra0xYcIEhIeHd1ntRp2W5bUODg4QCoWdltcyDu7r64t+/fqxOteVK1fwxRdfIDk5GQKBQCu7TQjOydvi888/h6OjI7Zt24Yvv/wSMpkM0dHRrY6zsbFBXV2dESzUPQcPHoRMJsOWLVtw6dIlxMbG4t69exg/fjzCw8Mxbtw4rdNnjIRzRUVFh+W1jLrMu+++y9rBr1+/jh07diA5OdnoqrDdDM7J22Lo0KG4du0anJ2dIRKJMHnyZDx58qTVcabk5EqlstVTWy6X0574W7duYcyYMQgNDcXEiRO1LmklhEAmk7Uqr7WysqKjndmqy9y6dQubN2/GuXPnTD6T0gU4J28Le3t7VFdXA3h9MTo4ONCf1TEzM0NAQADMzMywbds2hIWFGdROQ6JQKHD9+nXaEz9q1CjaE69tgQmj2V5aWgqRSAR7e3u4urqykn5KT09HZGQkkpKS4ObmppUdJsrb6+QdFd0sXbq0mVM7ODhAJpO1Ora0tBQuLi4oLCxEUFAQLl++DA8PD32a3S1QKpX46aefaE+8r68vwsLCMG3atC7noxmF12HDhqF3796oqKhAZWVlM+mnlvXyGRkZ+OSTT5CYmGj04YndmLfXyTuC7XJdnWXLliEkJATz5883kJXdA5VKhTt37iA2NhYXL16Ep6cnwsPDMX36dNY5bXUHb6nwWl9fj4qKCkilUpiZmUEgEKBPnz4Qi8VYtWoV4uLi4OXlpdP3ZGKBV87J22LLli3g8/k08FZVVYWvvvqq2TEymQxWVlawsLCAVCrF2LFje3QjjC5geuLPnDmDtLQ0uLm5ITQ0FLNmzWp3f92Rg7ekoaEBhYWFWL58OSQSCVatWoV169bpfB9uYoFX/VbdEEI6+uq2SKVSEhQURDw9PcnUqVNJZWUlIYSQ9PR0snLlSkIIIT/99BPx8/Mj/v7+xM/Pjxw5csSYJnc7VCoVycrKIjt37iTvvfcemTVrFvnuu+/IixcvSH19PamvryeVlZXk8uXLpLS0lL7W2VdGRgYZPnw4uXDhAjl48CDZuHGjzm339vYmZWVlhBBCysrKiLe3d5vHWVtb6/zceqAzP9Tqq8c+yTl0CyEEjx8/pnPi7ezsMGXKFKSmpuL48eNwcnJi9XcKCwuxZMkSHDt2DCNHjtSbvSYWeOWe5IYmNTWVeHt7Ew8PDxIVFdXq942NjWTBggXEw8ODvP/++6SoqMjwRuoRlUpFbt68SVxcXMj48ePJlClTyP79+0lBQQGpq6tr9wn+6NEj4u/vT+7cuaMTO6ZOnUp8fX1bfSUmJhI7O7tmx9rb27f5N0pKSgghhBQUFJDBgweT/Px8ndimY/T6JOecvAUKhYK4u7uTgoIC8urVK+Lv709ycnKaHfO3v/2NrFmzhhBCyMmTJ8mCBQuMYape+fOf/0yuXr1KVCoVKSoqIt988w2ZMGECmTBhAomOjiZPnjxp5vB5eXlkxIgR5ObNmwaxj+1yXZ2lS5eSM2fO6Nu0rsA5uSG5efMmmT59Ov153759ZN++fc2OmT59Or2Ym5qaCJ/PJyqVyqB2GgOVSkVKS0vJgQMHyOTJk8nYsWPJ3r17ydWrV0lAQAD58ccfDWbL5s2b6SorKiqKbNmypdUxVVVVpLGxkRBCiEQiIZ6enq1u2N0EvTq5yQpZd5W2VERKS0vbPUZdRcTUYXriP/30U1y5cgUJCQlwdHTEypUrsXnzZkycONFgtmzbtg0XL16El5cXLl26RIUZ7969i4iICABAbm4uAgMDMWLECEyZMgXbtm17KzMrPXI+OYfx4fF4EAqFWLt2LdauXWvw8/P5fFy+fLnV64GBgThy5AgAYNy4cXj48KGhTet2cE/yFmiiIgLA5FREOEwPzslb8LariHCYHtxyvQVmZmY4dOgQZsyYQVVEfH19m6mIrFy5Eh9//DE8PT2piggHR3eFK4YxIp1N9YiJicGWLVvodmHDhg00qMRhUvSsCSoc7GA7RWbhwoU4dOiQkazkMAW4PbmRUJ/qYW5uTqd6cHDoGs7JjQSbfDwAxMXFwd/fH/Pnz28W9efgYAvn5N2Y2bNno7i4GFlZWfjggw+wdOlSY5ukc86cOQNfX1/06tULd+/ebfe4tLQ0DB06FJ6envjyyy8NaGHPh3NyI8EmH8/n86lsU0REBO7du2dQGw0BMwW3o2o5Jn6RmpqKR48e4eTJk3j06JEBrezZcE5uJNjk40UiEf0+KSmJ1cTYnoaPjw+GDh3a4TFc/EI7uOi6kWCTjz9w4ACSkpJgZmYGR0dHxMTEGNtso2BqU3ANDefkRiQ4OBjBwcHNXvvTn/5Ev4+KikJUVJShzdI53BRc49JZMQyHicDj8f4PQAgAMSHEr43f8wD8FUAwgJcAlhFC7hvQvmsANhNCWkXfeDzeWAC7CSEz3vy8HQAIIT3/DmgAuD3520MMgJkd/H4WAK83X6sBHDaATWxJB+DF4/He4fF45gAWAeiWsqvdEc7J3xIIIdcBVHVwSCiAf70RMfgfAHsej+esb7t4PF44j8crATAWQDKPxzv/5vWBPB4v5Y3tCgAbAJwHkAvgB0JIjr5tMxW4PTkHgwsA9Wqbkjevido+XDcQQhIAJLTxehlebx2Yn1MApOjTFlOFe5JzcJg4nJNzMJQCGKT2s+ub1zh6OJyTczAkAfgt7zW/AlBDCNHrUp3DMHB78rcEHo93EsBkAP3fBLr+CKAPABBCvsPr/W4wgHy8TqEtN46lHLqGy5NzcJg43HKdg8PE4Zycg8PE4Zycg8PE4Zycg8PE4Zycg8PE4Zycg8PE4Zycg8PE4Zycg8PE+X99Kp1hwVmacwAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] @@ -165,7 +165,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 6, "metadata": { "scrolled": false }, @@ -174,7 +174,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "Producing generator candidates: 100%|█████████████████████████████████| 5/5 [00:13<00:00, 2.63s/it]" + "Producing generator candidates: 100%|█████████████████████████████████| 5/5 [05:01<00:00, 60.35s/it]" ] }, { @@ -182,23 +182,23 @@ "output_type": "stream", "text": [ "Principle Component 1: Explained Variance: 1.0\n", - "[[-0.00508574 -0.99223631]\n", - " [ 1.0071366 0.03342334]]\n", + "[[-0.00394716 -1.00563269]\n", + " [ 0.99432246 0.00318606]]\n", "\n", "\n", - "Principle Component 2: Explained Variance: 8.676290722631014e-33\n", - "[[-0.00500768 1.00770388]\n", - " [ 0.99167773 0.03291031]]\n", + "Principle Component 2: Explained Variance: 1.3757697081439634e-36\n", + "[[-0.6030852 -0.85736421]\n", + " [-0.87072257 0.37822883]]\n", "\n", "\n", - "Principle Component 3: Explained Variance: 0.0\n", - "[[ 0.00000000e+00 4.17453621e-18]\n", - " [-4.69069703e-02 1.41343544e+00]]\n", + "Principle Component 3: Explained Variance: 3.6551465466088217e-38\n", + "[[0.16740142 0.24032105]\n", + " [0.23935278 1.36269322]]\n", "\n", "\n", - "Principle Component 4: Explained Variance: 0.0\n", - "[[1.41419555e+00 1.83995210e-18]\n", - " [7.13341418e-03 2.36733025e-04]]\n", + "Principle Component 4: Explained Variance: 1.2289433030919476e-70\n", + "[[-1.26816774e+00 4.42578002e-01]\n", + " [ 4.42578002e-01 1.00352521e-14]]\n", "\n", "\n" ] @@ -242,72 +242,72 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "Producing generator candidates: 100%|██████████████████████████████| 20/20 [41:28<00:00, 124.45s/it]" + "Producing generator candidates: 100%|██████████████████████████████| 20/20 [39:25<00:00, 118.29s/it]" ] }, { "name": "stdout", "output_type": "stream", "text": [ - "Principle Component 1: Explained Variance: 0.5642590201738314\n", - "[[ 6.18070516e-04 -8.75785275e-02 8.76973913e-01]\n", - " [ 1.51448435e-01 2.07168005e-02 8.21324143e-01]\n", - " [-9.29131072e-01 -8.13509834e-01 1.49804056e-02]]\n", + "Principle Component 1: Explained Variance: 0.46671539974762427\n", + "[[ 0.05844208 -0.32381881 0.62057826]\n", + " [ 0.28774448 -0.02250414 -1.03720561]\n", + " [-0.58151916 1.00458252 0.01261541]]\n", "\n", "\n", - "Principle Component 2: Explained Variance: 0.2788839544196798\n", - "[[ 0.02057035 0.7544479 -0.61498106]\n", - " [-0.71249835 -0.03825055 0.77952334]\n", - " [ 0.59097218 -0.76540708 0.01771293]]\n", + "Principle Component 2: Explained Variance: 0.3661267379481377\n", + "[[ 0.01377112 -0.21760786 -1.04643506]\n", + " [ 0.24085093 -0.02704169 -0.54790929]\n", + " [ 1.08442963 0.5678619 0.00557409]]\n", "\n", "\n", - "Principle Component 3: Explained Variance: 0.15324042600653215\n", - "[[-0.01319797 -1.00286466 -0.60782321]\n", - " [ 0.94153788 -0.00117608 0.48559 ]\n", - " [ 0.52268631 -0.47866973 0.00457542]]\n", + "Principle Component 3: Explained Variance: 0.16367819938563596\n", + "[[-0.00900815 1.14664787 -0.07380354]\n", + " [-1.17862591 0.01075561 -0.35990301]\n", + " [ 0.03008574 0.39905439 0.02675986]]\n", "\n", "\n", - "Principle Component 4: Explained Variance: 0.00186738431043254\n", - "[[ 0.34694576 0.26186132 -0.40482218]\n", - " [ 0.27606556 -0.74197705 -0.97513116]\n", - " [-0.41562889 -0.94319092 -0.08483451]]\n", + "Principle Component 4: Explained Variance: 0.0019987866414263628\n", + "[[-0.17531942 0.95499605 -0.72271103]\n", + " [ 0.97772672 0.02657505 0.05269328]\n", + " [-0.74880255 0.10521146 0.06105195]]\n", "\n", "\n", - "Principle Component 5: Explained Variance: 0.0008884608101736901\n", - "[[ 0.38515652 -0.92251311 -0.66896582]\n", - " [-1.00469092 0.14032397 0.03876601]\n", - " [-0.71660663 0.05110934 -0.07983769]]\n", + "Principle Component 5: Explained Variance: 0.0008879535857574221\n", + "[[ 0.73828142 0.51982124 0.51438996]\n", + " [ 0.4450838 -1.17974628 -0.15465756]\n", + " [ 0.49909809 -0.21904251 0.09607828]]\n", "\n", "\n", - "Principle Component 6: Explained Variance: 0.0004886498609081997\n", - "[[ 0.8794788 -0.37516122 0.66133177]\n", - " [-0.32704131 -1.040945 0.21021753]\n", - " [ 0.61952682 0.17074918 -0.02699441]]\n", + "Principle Component 6: Explained Variance: 0.0002806185888669158\n", + "[[-0.03988915 0.21619255 0.15018774]\n", + " [ 0.18116085 0.6416449 -1.10590239]\n", + " [ 0.17993401 -1.09788315 0.15440886]]\n", "\n", "\n", - "Principle Component 7: Explained Variance: 0.0002302582235060851\n", - "[[ 1.2618087 0.54994524 -0.37259137]\n", - " [ 0.57961492 0.39329502 0.37124407]\n", - " [-0.34502854 0.42321165 -0.19991331]]\n", + "Principle Component 7: Explained Variance: 0.00023051641457079604\n", + "[[ 0.54214099 -0.54510292 -0.82754125]\n", + " [-0.52557848 -0.64373052 -0.37601348]\n", + " [-0.79104147 -0.4099838 0.31349681]]\n", "\n", "\n", - "Principle Component 8: Explained Variance: 0.0001321324730282438\n", - "[[-0.57144583 0.2324958 -0.53734147]\n", - " [ 0.23092662 -1.09070523 0.58931408]\n", - " [-0.56409889 0.64976438 0.00145281]]\n", + "Principle Component 8: Explained Variance: 7.545114250391106e-05\n", + "[[-1.45655983 -0.08268353 0.04563956]\n", + " [-0.07316153 -0.86646382 -0.24725111]\n", + " [ 0.02532708 -0.2102651 0.08611501]]\n", "\n", "\n", - "Principle Component 9: Explained Variance: 9.71372190806117e-06\n", - "[[-1.96190976e-01 -2.36441406e-02 8.33655721e-02]\n", - " [-3.26080744e-02 -4.31339686e-04 1.68562104e-02]\n", - " [ 8.32356895e-02 -2.34656972e-02 -1.71615087e+00]]\n", + "Principle Component 9: Explained Variance: 6.3365454765386406e-06\n", + "[[-0.05867582 0.00650376 0.13430265]\n", + " [ 0.03976397 0.17112102 0.20551123]\n", + " [ 0.12796177 0.18002171 1.69014709]]\n", "\n", "\n" ] @@ -321,7 +321,7 @@ }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -358,7 +358,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.5" + "version": "3.8.10" } }, "nbformat": 4,