From eb61467059fb03d18a2e022221a9a305c85dc8e0 Mon Sep 17 00:00:00 2001 From: julius-heitkoetter Date: Fri, 28 Jan 2022 11:52:39 -0500 Subject: [PATCH] This is my final submission for all the reciations --- Recitation1/Recitation_01_learner.ipynb | 231 +++++++-- Recitation10/Recitation_10_learner_soln.ipynb | 4 +- Recitation10/Recitation_10_v1.ipynb | 234 ++++------ Recitation11/spherical_harmonics.ipynb | 259 ++++++++-- Recitation12/MIT_8S50_recitation_12.ipynb | 304 +++++++++++- Recitation13/Recitation13_learner.ipynb | 96 ++-- Recitation2/Recitation_02.ipynb | 441 +++++++++++++----- Recitation3/Recitation_03_learner.ipynb | 441 ++++++++++++++++-- ...tation_04_Likelihood_and_Chi-squared.ipynb | 257 ++++++++-- Recitation5/Recitation_05_learner.ipynb | 278 +++++++++-- Recitation6/Recitation_06_learner_soln.ipynb | 4 +- Recitation6/Recitation_06_v2.ipynb | 43 +- Recitation7/Recitation_07_learner_soln.ipynb | 87 +++- Recitation8/Recitation_08_learner_soln.ipynb | 5 +- Recitation8/Recitation_08_v2.ipynb | 198 +++++++- Recitation8/bayes.ipynb | 42 +- 16 files changed, 2354 insertions(+), 570 deletions(-) diff --git a/Recitation1/Recitation_01_learner.ipynb b/Recitation1/Recitation_01_learner.ipynb index 0a0ed26..9e5a00a 100644 --- a/Recitation1/Recitation_01_learner.ipynb +++ b/Recitation1/Recitation_01_learner.ipynb @@ -137,13 +137,15 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", - "def p(x):\n", - " return # your code here" + "def p(x, mu=0, var =.2):\n", + " #mu = 0\n", + " #var = .2\n", + " return (1/np.sqrt(2*np.pi*var))*np.exp((-(x-mu)**2)/(2*var))" ] }, { @@ -181,21 +183,21 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def gaussmu0sig02(x):\n", - " return # your code here\n", + " return p(x, mu=0, var=.2)\n", "\n", "def gaussmu0sig10(x):\n", - " return # your code here\n", + " return p(x, mu=0, var=1)\n", "\n", "def gaussmu0sig50(x):\n", - " return # your code here\n", + " return p(x, mu=0, var=5)\n", "\n", "def gaussmum2sig05(x):\n", - " return # your code here" + " return p(x, mu=-2, var=.5)" ] }, { @@ -226,9 +228,22 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "import matplotlib.pyplot as plt\n", "\n", @@ -251,6 +266,9 @@ "\n", "For a fixed value of $\\mu$, what effect will increasing the standard deviation $\\sigma$ have on the distribution?\n", "\n", + "#### >>>ANSWER\n", + "\n", + "Increasing the standard deviation will make the distribution shorter and wider\n", "
\n", "" ] @@ -323,13 +341,13 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", - "def p(x,y):\n", - " return # your code here" + "def q(x,y):\n", + " return p(x,mu=0, var=1)*p(y, mu=0, var=1)" ] }, { @@ -366,9 +384,34 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", @@ -383,10 +426,10 @@ "\n", "x,y = np.meshgrid(x,y)\n", "\n", - "ax.plot_surface(x,y,p(x,y))\n", + "ax.plot_surface(x,y,q(x,y))\n", "\n", "fig2 = plt.figure(figsize = (5,5))\n", - "plt.pcolormesh(x,y,p(x,y))\n", + "plt.pcolormesh(x,y,q(x,y))\n", "plt.show();" ] }, @@ -399,7 +442,9 @@ "\n", "How would changing the mean and variance of one distribution affect the overall distribution?\n", "\n", + "#### >>>ANSWER\n", "\n", + "Increasing the variance of one distribution would stretch the overal distribution in that directions. Similarly, changing the mean will shift the distribution in that direction.\n", "
\n", "" ] @@ -468,9 +513,22 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", @@ -519,16 +577,25 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Mean: 25.13\n", + "Variance: 23.4011\n" + ] + } + ], "source": [ "import numpy as np\n", "\n", - "h = hists[1]\n", + "h = hists[25]\n", "\n", - "h_mean = #your code here\n", - "h_var = #your code here\n", + "h_mean = np.mean(h)\n", + "h_var = np.var(h)\n", "\n", "print(\"Mean:\",h_mean)\n", "print(\"Variance:\",h_var)" @@ -602,19 +669,39 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Average event rate: 2.0 events per second\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", - "NUM_EVENTS = 500\n", - "TIME_RANGE = 250\n", + "NUM_EVENTS = 500*10\n", + "TIME_RANGE = 250*10\n", "\n", "print(\"Average event rate:\", NUM_EVENTS / TIME_RANGE, \"events per second\")\n", "\n", - "event_times = # your code here\n", + "event_times = np.random.uniform(0, TIME_RANGE, NUM_EVENTS)\n", "event_times.sort()\n", "\n", "plt.plot(event_times)\n", @@ -657,9 +744,22 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", @@ -719,9 +842,10 @@ "plt.xlabel(\"Number of events in interval\")\n", "plt.ylabel(\"Fraction of intervals\")\n", "\n", - "l = #your lambda here\n", + "l = 2\n", "\n", - "#your plotting code here" + "x = np.linspace(0,40,100)\n", + "plt.plot(x, (l**x * np.exp(-l)/factorial(x)))\n" ] }, { @@ -783,9 +907,22 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", @@ -822,7 +959,7 @@ "metadata": { "celltoolbar": "Raw Cell Format", "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -836,7 +973,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.10" + "version": "3.9.7" } }, "nbformat": 4, diff --git a/Recitation10/Recitation_10_learner_soln.ipynb b/Recitation10/Recitation_10_learner_soln.ipynb index d224843..dc11fd3 100644 --- a/Recitation10/Recitation_10_learner_soln.ipynb +++ b/Recitation10/Recitation_10_learner_soln.ipynb @@ -1071,7 +1071,7 @@ "provenance": [] }, "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -1085,7 +1085,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.1" + "version": "3.9.7" } }, "nbformat": 4, diff --git a/Recitation10/Recitation_10_v1.ipynb b/Recitation10/Recitation_10_v1.ipynb index 3a9c4fe..d61ae61 100644 --- a/Recitation10/Recitation_10_v1.ipynb +++ b/Recitation10/Recitation_10_v1.ipynb @@ -47,23 +47,11 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "metadata": { "id": "O3ErNwyKMeT_" }, - "outputs": [ - { - "ename": "ModuleNotFoundError", - "evalue": "No module named 'torch'", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mModuleNotFoundError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mnumpy\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mmatplotlib\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpyplot\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0;32mimport\u001b[0m \u001b[0mtorch\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 4\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mtorch\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mnn\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mnn\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mtorch\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mnn\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfunctional\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mF\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mModuleNotFoundError\u001b[0m: No module named 'torch'" - ] - } - ], + "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", @@ -83,7 +71,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -96,25 +84,22 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 208, - "metadata": { - "tags": [] - }, + "execution_count": 3, + "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", 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" ] }, "metadata": { - "needs_background": "light", - "tags": [] + "needs_background": "light" }, "output_type": "display_data" } @@ -142,7 +127,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": { "id": "xJB1whFeF4Yh" }, @@ -163,7 +148,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": { "id": "ItvtxRZOQwL4" }, @@ -211,7 +196,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "metadata": { "id": "Puymym3kSChW" }, @@ -238,7 +223,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "metadata": { "id": "jrpJWOXZSRs-" }, @@ -273,7 +258,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -287,38 +272,36 @@ "name": "stdout", "output_type": "stream", "text": [ - "0.94\n" + "0.93\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ - "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:21: UserWarning: Implicit dimension choice for softmax has been deprecated. Change the call to include dim=X as an argument.\n" + "/tmp/ipykernel_2951/1404670466.py:21: UserWarning: Implicit dimension choice for softmax has been deprecated. Change the call to include dim=X as an argument.\n", + " pred = F.softmax(self.forward(x))\n" ] }, { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 213, - "metadata": { - "tags": [] - }, + "execution_count": 9, + "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", 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" ] }, "metadata": { - "needs_background": "light", - "tags": [] + "needs_background": "light" }, "output_type": "display_data" } @@ -340,7 +323,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "metadata": { "id": "7cNRz017TbMh" }, @@ -355,7 +338,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, "metadata": { "id": "H9t77pzKUKsv" }, @@ -384,7 +367,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -398,19 +381,19 @@ "name": "stderr", "output_type": "stream", "text": [ - "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:21: UserWarning: Implicit dimension choice for softmax has been deprecated. Change the call to include dim=X as an argument.\n" + "/tmp/ipykernel_2951/1404670466.py:21: UserWarning: Implicit dimension choice for softmax has been deprecated. Change the call to include dim=X as an argument.\n", + " pred = F.softmax(self.forward(x))\n" ] }, { "data": { - "image/png": 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\n", 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\n", 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" ] }, "metadata": { - "needs_background": "light", - "tags": [] + "needs_background": "light" }, "output_type": "display_data" } @@ -466,7 +449,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -478,14 +461,13 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] }, "metadata": { - "needs_background": "light", - "tags": [] + "needs_background": "light" }, "output_type": "display_data" } @@ -515,7 +497,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -529,38 +511,36 @@ "name": "stdout", "output_type": "stream", "text": [ - "0.878\n" + "0.544\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ - "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:21: UserWarning: Implicit dimension choice for softmax has been deprecated. Change the call to include dim=X as an argument.\n" + "/tmp/ipykernel_2951/1404670466.py:21: UserWarning: Implicit dimension choice for softmax has been deprecated. Change the call to include dim=X as an argument.\n", + " pred = F.softmax(self.forward(x))\n" ] }, { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 221, - "metadata": { - "tags": [] - }, + "execution_count": 14, + "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { - "needs_background": "light", - "tags": [] + "needs_background": "light" }, "output_type": "display_data" } @@ -671,7 +651,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 15, "metadata": { "id": "Xj2m2NQCWOCl" }, @@ -724,7 +704,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 16, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -738,38 +718,36 @@ "name": "stdout", "output_type": "stream", "text": [ - "0.922\n" + "0.946\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ - "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:26: UserWarning: Implicit dimension choice for softmax has been deprecated. Change the call to include dim=X as an argument.\n" + "/tmp/ipykernel_2951/1937260319.py:26: UserWarning: Implicit dimension choice for softmax has been deprecated. Change the call to include dim=X as an argument.\n", + " pred = F.softmax(self.forward(x))\n" ] }, { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 224, - "metadata": { - "tags": [] - }, + "execution_count": 16, + "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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MvgLuAm5srMAipyMpLoq500fxnT7tePDv65j9abbXkUQanDnnzbm6GRkZLjMz05NtS/NVXlnFPXNX8o/Vu3jg4j7cdl43ryOJnBIzW+acy6htmb4pKs1KhC+MJyYPBuDX763HDG49V6UuoUGFLs1OhC+MJ/2l/l//WE9ibBSXDantTFyR4KJCl2Yp3BfGY9cMoqjkCPf99SvatYpmVPcEr2OJnBFdD12arahwH89cl0GXhBh+8FImm/cc8DqSyBlRoUuzFt8ygudvGk5UhI8b/7yUwoNHTv6XRAKUCl2avdQ2LXn2hgwKDx7hhy8vp6xCt7OT4KRCFwEGprbmd1cNZEnOXn71zhq8Op1X5EzoQ1ERv0mDU9i05wAzF2whvX0cN43u6nUkkVOiI3SRGu69MJ0L+7bj4XfX8dlmXRFUgosKXaSGsDDj8WsG0zM5jjteWc7WwhKvI4nUmwpd5DixUeHMuSGDcF8Yt76wlP2Hy72OJFIvKnSRWnRq25I/XjuUbUWl3PmXFbo/qQQFFbpIHUZ2S+ChSf35ZFMBv31fV4SWwKezXEROYOpZndm4ez+zP9tKevtWXDUs1etIInXSEbrISfzy0r6M7pHAf761mmXb9nodR6ROKnSRkwj3hTFz6lA6to7mBy8tZ+e+Q15HEqmVCl2kHlq3jGTODRkcKa/kthczKS2r8DqSyLeo0EXqqUdyHH+YMoR1u/bzszdX6/IAEnBU6CKnYFzvZH5yUTp//2onLy/e7nUckW9QoYucotvHdGdcehIP/30dq3L3eR1H5BgVusgpCgszHrt6MImxkfzwleUUl+qbpBIYVOgip6FNTCRPXTuUPfsPc+8bX2k8XQKCCl3kNA3t3IafT+jDh+v3MPuzbK/jiKjQRc7ETaPTmNC/PY/8z0Z96Ug8p0IXOQNmxiNXDaRDfDR3z12pKzOKp1ToImeoVXQET04ewq7iw/zibd2+TryjQhdpAMO6tOGeC3oy76udvLU8z+s40kyp0EUayA/H9WBE17b86p015OhOR+KBehW6mY03s41mlmVm959gvSvNzJlZRsNFFAkOvjDjiWsGE+4L4665KyirqPI6kjQzJy10M/MBM4EJQF9gipn1rWW9OOBuYHFDhxQJFh1bt+C3VwxgVW4xj/1zk9dxpJmpzxH6CCDLOZftnCsD5gKTalnvYeAR4HAD5hMJOhMGdGDKiE488+kWvsgq9DqONCP1KfQUYEeN6Vz/vGPMbCjQyTn3jxM9kZlNN7NMM8ssKCg45bAiweKXl/alW2IMP3ptJXtLyryOI83EGX8oamZhwGPAvSdb1zk3yzmX4ZzLSEpKOtNNiwSslpHh/GHKEPaVlvPTv+rSANI06lPoeUCnGtOp/nlHxQH9gY/NLAcYCczTB6PS3PXrGM/PJvTmw/X5vLRom9dxpBmoT6EvBXqaWVcziwQmA/OOLnTOFTvnEp1zac65NGARMNE5l9koiUWCyM2j0xibnsSv/7GeTXsOeB1HQtxJC905VwHMAOYD64HXnXNrzewhM5vY2AFFgpmZ8furBhEXHc5dr67gcHml15EkhNVrDN05955zrpdzrrtz7tf+eb9yzs2rZd2xOjoX+bekuCh+f9UgNuw+wG/f3+B1HAlh+qaoSBMY1zuZG89O4/mFOSzYmO91HAlRKnSRJnL/hN70bh/HfW98RcGBI17HkRCkQhdpItERPp6cPIT9hyu4T6cySiNQoYs0ofT2cTxwcR8+3ljAi1/qVEZpWCp0kSY2bVQXxvRK4jfvr2errsooDUiFLtLEzIxHrhxIpC+Me19fSWWVhl6kYajQRTzQPj6ahyb1Z/n2fbrBtDQYFbqIRyYN7sj4fu157INNbNytb5HKmVOhi3jEzPivy/sTFx3Oj19fSXmlboghZ0aFLuKhxNgofn15f9bu3M9TH2V5HUeCnApdxGPj+3fg8iEpPLUgi9W5xV7HkSCmQhcJAA9+rx+JsZH8+PWVuoCXnDYVukgAiG8ZwSNXDmRz/kEe171I5TSp0EUCxNj0ZKaM6Mysz7LJzNnrdRwJQip0kQDywCV9SGndgp+88RWlZRVex5Ego0IXCSCxUeE8+v1B5BSV8oiunS6nSIUuEmBGdkvg5tFdeeHLbXy+udDrOBJEVOgiAein49PpnhTDj15fSf7+w17HkSChQhcJQNERPv547TAOHq7gzldXUKFvkUo9qNBFAlR6+zh+fXl/Fm/dy6Mf6FRGOTkVukgAu2JoKlPP6szTn2zhg7W7vY4jAU6FLhLgfnVpXwamxnPPaytZk6dLA0jdVOgiAS46wsecaRm0bhHBzc8vJW/fIa8jSYBSoYsEgeRW0fz5phEcKqvk5j8vZf/hcq8jSQBSoYsEifT2cTx9/TC2FBzkhy8v1/XT5VtU6CJBZHSPRH575UA+zyrkP99ajXO6H6n8W7jXAUTk1Fw1LJUde0t58l+baR8fzb0XpXsdSQKECl0kCN3znZ7s2X+Y//4oizYtI7n5nK5eR5IAoEIXCUJmxn9d1p99peU89O462sREcPmQVK9jicfqNYZuZuPNbKOZZZnZ/bUs/w8zW21mK83sczPr2/BRRaSmcF8YT0wezNndE/jJG6v4aMMeryOJx05a6GbmA2YCE4C+wJRaCvsvzrkBzrnBwO+Axxo8qYh8S3SEj1nTMujXsRW3v7ycJVt1Y4zmrD5H6COALOdctnOuDJgLTKq5gnNuf43JGEAfvYs0kdiocP5843BS2rTglheWsm7n/pP/JQlJ9Sn0FGBHjelc/7xvMLM7zGwL1Ufod9X2RGY23cwyzSyzoKDgdPKKSC0SYqN46ZaziI0KZ9pzS8gpLPE6knigwc5Dd87NdM51B34G/KKOdWY55zKccxlJSUkNtWkRAVJat+ClW0ZQWVXFtXMW6xIBzVB9Cj0P6FRjOtU/ry5zgcvOJJSInJ4eyXG8dMtZ7D9cznVzFpN/QDfHaE7qU+hLgZ5m1tXMIoHJwLyaK5hZzxqTlwCbGy6iiJyK/inxPH/TcPbsP8x1cxbzdUmZ15GkiZy00J1zFcAMYD6wHnjdObfWzB4ys4n+1WaY2VozWwn8GLih0RKLyEkN69KWOdMyyCkqZdpzS3Qxr2bCvLoWREZGhsvMzPRk2yLNxYIN+Ux/KZOBqa15/qbhxEVHeB1JzpCZLXPOZdS2TBfnEglh43on84fJQ/hqxz6ue3YJxaU6Ug9lKnSREDdhQAf+eO1Q1u/cz9Q5izSmHsJU6CLNwEX92jNr2jCy8g8yZfYiCg4c8TqSNAIVukgzMTY9meduHM62olImz/qS3cU6pTHUqNBFmpHRPRJ54eYR7Nl/hEkzP2fljn1eR5IGpEIXaWZGdG3LG/8xisjwMK5++ktez9xx8r8kQUGFLtIM9enQinl3nMPwrm346V9X8eC8tbpHaQhQoYs0U21iInnhphHcdm5Xnl+Yw3VzFlN0UB+WBjMVukgzFu4L44FL+vL4NYNYuWMfE5/6gtW5xV7HktOkQhcRLh+Sypu3n41zjiv/tJBnP9+KV98il9OnQhcRoPqiXv+461zGpCfx8LvruOn5pRRqCCaoqNBF5Jg2MZHMun4YD0/qx8ItRYx/4jM+26yb0QQLFbqIfIOZcf2oNObNGE2blhFc/+wSfvP+esoqdBZMoFOhi0iterdvxbwZ5zD1rM4880k2l838gmXbvvY6lpyACl1E6tQi0sf/u3wAT183jKKSI1z5p4X89K9f6fTGAKVCF5GTGt+/Pf+6dyw/OK8bby3PY9yjH/PSlzlU6MtIAUWFLiL1EhsVzs8v7sP7d59L/5R4fvnOWi56/FPeWZlHZZVOcQwEKnQROSU928Xxyq1n8fR1w4gMD+PuuSv57hOf8vevdlKlYveUCl1ETpmZMb5/e96761xmTh2KAXe+uoLxT37Ke6t3qdg9onuKisgZq6xy/GP1Lp78cBNbCkronhTDbed247IhKURH+LyOF1JOdE9RFbqINJjKKse7q3Yy69Ns1u7cT2JsJNNGpXHdyC60jYn0Ol5IUKGLSJNyzvFldhGzP81mwcYCoiPCuGpYKjeN7kr3pFiv4wW1ExV6eFOHEZHQZ2ac3T2Rs7snsnnPAeZ8tpXXl+by8qLtjOqWwLUjO3NR3/ZEhutjvIakI3QRaRIFB47weuYOXl2yndyvD5EYG8n3MzoxZXhnOie09Dpe0NCQi4gEjKoqx6ebC3hl8Xb+tX4PDji7ewKTBqcwvn97WkVHeB0xoKnQRSQg7So+xGtLd/D2ijy2FZUSGR7GBb2TmTS4I+f1SqJlpEaFj6dCF5GA5pxj5Y59vLNyJ++u2knhwTIiw8MY2S2BcelJjE1PpmtijNcxA4IKXUSCRkVlFYu37mXBhnwWbMxnS0EJAF0SWjK2VxKjuieQkdaWxNgoj5N6Q4UuIkFre1Epn2zK5+ONBSzcUsSh8koAuiXGkJHWhuFpbRme1pYuCS0xM4/TNr4zLnQzGw88CfiAOc653x63/MfArUAFUADc7JzbdqLnVKGLyKkqq6hidV4xmTl7WZqzl8xtX7OvtByApLgohqe1IaNLdcH36RBHuC/0Tos8o0I3Mx+wCbgQyAWWAlOcc+tqrDMOWOycKzWz24GxzrlrTvS8KnQROVNVVY4tBQdZkrOXzJyvWbJ1L3n7DgEQE+ljaJc2DO7Umn4dW9G3Qzyd2rYI+qP4M/1i0QggyzmX7X+yucAk4FihO+cW1Fh/EXDd6ccVEamfsDCjZ7s4eraL49qzugCwc98hMrd9zdKt1UfxMxdkcfRaYXFR4fTp2Mpf8K3o1zGeHsmxIfMFp/oUegqwo8Z0LnDWCda/BXi/tgVmNh2YDtC5c+d6RhQRqb+OrVswsXULJg7qCMDh8ko27j7A2p37WbermLU79zN3yY5jY/ERPqNnclx1yXdsRe/2reiWFENyXFTQHc036EmeZnYdkAGMqW25c24WMAuqh1wactsiIrWJjvAxqFNrBnVqfWxeZZUjp6ikuuR37mftzmI+2pDPG8tyj60TE+kjLTGGrsf9dEuMJb5lYH75qT6Fngd0qjGd6p/3DWb2HeABYIxzTjccFJGA5QszuifF0j0p9tiRvHOOggNH2LD7ADlFJWQXlLC1sITVecXV13ivcQjapmWEv+Bj6ZYUQ1pCddmnJbb09MtQ9dnyUqCnmXWlusgnA1NrrmBmQ4BngPHOufwGTyki0sjMjORW0SS3iuY8kr6xrKyiiu17S9laWEJOYQnZhSVsLTzI51kFvLk89xvrdoiPJi0hhrTEGDq1bUFK6xaktmlBSuuWJMdFERbWeMM4Jy1051yFmc0A5lN92uJzzrm1ZvYQkOmcmwf8HogF3vCPOW13zk1stNQiIk0oMjyMHsmx9Ej+9qV/S45UkFNUfTS/taCErf7H76/ZdeyUyqMifEaH+Bbce1EvJg1OafCc9frdwDn3HvDecfN+VePxdxo4l4hIUIiJCqdfx3j6dYz/1rKSIxXk7TtE3teHyPX/mbfvEAkxjfMtV135RkSkkcREhdOrXRy92sU1yfZC4+RLERFRoYuIhAoVuohIiFChi4iECBW6iEiIUKGLiIQIFbqISIhQoYuIhAjPbkFnZgXACe9qdAKJQGEDxmlIgZpNuU6Ncp26QM0Warm6OOeSalvgWaGfCTPLrOuOHV4L1GzKdWqU69QFarbmlEtDLiIiIUKFLiISIoK10Gd5HeAEAjWbcp0a5Tp1gZqt2eQKyjF0ERH5tmA9QhcRkeOo0EVEQkTQFbqZjTezjWaWZWb3e5ijk5ktMLN1ZrbWzO72z3/QzPLMbKX/52IPsuWY2Wr/9jP989qa2T/NbLP/zzZNnCm9xj5ZaWb7zewer/aXmT1nZvlmtqbGvFr3kVX7g/89t8rMhjZxrt+b2Qb/tt82s9b++WlmdqjGvnu6iXPV+dqZ2c/9+2ujmX23sXKdINtrNXLlmNlK//wm2Wcn6IfGfY8554Lmh+p7mm4BugGRwFdAX4+ydACG+h/HAZuAvsCDwE883k85QOJx834H3O9/fD/wiMev426gi1f7CzgPGAqsOdk+Ai4G3gcMGAksbuJcFwHh/seP1MiVVnM9D/ZXrXmrYnAAAANhSURBVK+d/9/BV0AU0NX/b9bXlNmOW/7/gV815T47QT806nss2I7QRwBZzrls51wZMBeY5EUQ59wu59xy/+MDwHqg4e/62nAmAS/4H78AXOZhlguALc650/2m8Blzzn0K7D1udl37aBLwoqu2CGhtZh2aKpdz7gPnXIV/chGQ2hjbPtVcJzAJmOucO+Kc2wpkUf1vt8mzWfVd668GXm2s7deRqa5+aNT3WLAVegqwo8Z0LgFQomaWBgwBFvtnzfD/2vRcUw9t+DngAzNbZmbT/fPaOed2+R/vBtp5kOuoyXzzH5jX++uouvZRIL3vbqb6SO6orma2wsw+MbNzPchT22sXSPvrXGCPc25zjXlNus+O64dGfY8FW6EHHDOLBd4E7nHO7Qf+BHQHBgO7qP51r6md45wbCkwA7jCz82oudNW/43lyvqqZRQITgTf8swJhf32Ll/uoLmb2AFABvOKftQvo7JwbAvwY+IuZtWrCSAH52h1nCt88eGjSfVZLPxzTGO+xYCv0PKBTjelU/zxPmFkE1S/WK865twCcc3ucc5XOuSpgNo34q2ZdnHN5/j/zgbf9GfYc/RXO/2d+U+fymwAsd87t8Wf0fH/VUNc+8vx9Z2Y3ApcC1/qLAP+QRpH/8TKqx6p7NVWmE7x2nu8vADMLB64AXjs6ryn3WW39QCO/x4Kt0JcCPc2sq/9IbzIwz4sg/rG5Z4H1zrnHasyvOe51ObDm+L/byLlizCzu6GOqP1BbQ/V+usG/2g3AO02Zq4ZvHDF5vb+OU9c+mgdM85+JMBIorvFrc6Mzs/HAT4GJzrnSGvOTzMznf9wN6AlkN2Guul67ecBkM4sys67+XEuaKlcN3wE2OOdyj85oqn1WVz/Q2O+xxv60t6F/qP40eBPV/7M+4GGOc6j+dWkVsNL/czHwErDaP38e0KGJc3Wj+gyDr4C1R/cRkAD8C9gMfAi09WCfxQBFQHyNeZ7sL6r/U9kFlFM9XnlLXfuI6jMPZvrfc6uBjCbOlUX1+OrR99nT/nWv9L/GK4HlwPeaOFedrx3wgH9/bQQmNPVr6Z//PPAfx63bJPvsBP3QqO8xffVfRCREBNuQi4iI1EGFLiISIlToIiIhQoUuIhIiVOgiIiFChS4iEiJU6CIiIeJ/ATtf9NqiG5DKAAAAAElFTkSuQmCC\n", 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\n", 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" ] }, "metadata": { - "needs_background": "light", - "tags": [] + "needs_background": "light" }, "output_type": "display_data" } @@ -805,7 +783,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 17, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -819,19 +797,19 @@ "name": "stderr", "output_type": "stream", "text": [ - "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:26: UserWarning: Implicit dimension choice for softmax has been deprecated. Change the call to include dim=X as an argument.\n" + "/tmp/ipykernel_2951/1937260319.py:26: UserWarning: Implicit dimension choice for softmax has been deprecated. Change the call to include dim=X as an argument.\n", + " pred = F.softmax(self.forward(x))\n" ] }, { "data": { - "image/png": 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ydfTX4XMOJYCyN+jTV5t7IDYrLNoeu+M0rwGzbxUlt03jYNJ1ZU+D8/gk+RdszDJ98OH8shlTSSA5DmaPlknUDH5D8hN5cWol+P12uKqz5CrObQqTr4NBJrHYksC+VOFUr9gt4/MF4Od1MOi90ntAExzhY8nt65ROXcG+VOGhB8NQQpUcMkGolPO3Cm3x9sniEUeCZtXNJyy7VbzcgvDOUFlhxzvEQYuzmzPBcsZamEppMH7fJKw4f9Dk5LRC8+q5rLZHp5vbr4CS96csh+9XRXfsYqDsDXrVBPMb0zBkJo41El3HD+1t9CRzVgCYJ3FPZNSuCN9cD5d1ENaDRm4Y47EB5g9jnYrw/GD48074/BroUq/0xvvxglAj4AvA1kNSsl4a0DR4+vz87BVdk6TjowNKZwxxjoJVDRdvz0+lzPBKrYcZhTIYSS64tWf+JKpVl4msMJZWvUqw7D54/RJ4qC98cY1ou5iFxRRCk40GWw6ZJ6Gz/BK/P5QuBYiFOZ3pXknOlhLKPoZ+XXdJBOad5XRNHvCiFEOcKNhySG58M2hAryiTwit3i1d/IE246Re1Pb546CAG6vVLJL76/UoxVJe0L/lkrj8gSdlIi5lAErnhEpFbD0OnurEZW2EY0BK+vlbYG5sOiFd7b28JOZQGEhyS05m5JrTWoXEV+NVEZdFQQjJoUaPw/d9zjlz/N36XmPrZjeHOcyLTxLFbYWCr/O9d1RkmLpTVr6bJdx44V/IB0aBFdXNH020XPaSB78CmMBLAwch22pRSbNiwAZvNxqmnlowqZ9k98Zk+OSnLdsoM7QvIcsZAsvNfjTjxStXX7oVdRyURYsYAyIu/d0g832PymdUSnQf25RK481tJ4AQUzNkgVMHpo6IzYqUBTYPu9eVV0sjwwn1TpVzeH4DGVeGlC6FzvcK37XSKFGwFL6cNBS0jMFSxRLdTJfH5+E8SCpi7SfIS4/qXThXw65eILMXCbZLE9PhheGcJB/21NXTis+rC0ooEmiYMlKKyUPJCKbk+ASM395LsggtaFbydGTrVhVY1YNmu3N9n1aGiC2pWkBh/JGEct11IGQu2UveGuhw6dAilFPXr12fy5Mk0aRJbMkbZiXNZdJWPweCyiU72yNPkgTmRjPnhdBj6oVSR2vLc8E8NDP875m+BSyeEhlZ0DUZ0hWcHRXbsDC80eTy0c4vLJjof13aP/vcUBwEDZqyBOetllXVZx6IVtsQCl34gnmJeg+O2S3edBpUL3jYlE7q+KF5jztLbaYPT68OXI0puzCDJ2F/WSWjwgtZiSEd9mX9ycdngmq7weCk2CdlySAxZ8+rCGNmbAp2eC61ejbNLjqpjndKVl568TKo4847HoslKYc5t0e8vwyu6OZ8vllh6v+Yyif68Fu6bYi4bknPMgMouqGoIzw+CLi/ke9Y1TaNKlSrs2LEDuz26EPDxqbaoaaEHdtlgwyNl51XuS4WnZ8BPa+SmHNENbjitcC/o0gnw+8b8M7bbJg0prgijzayUGIwtB/PH6tw2aZ8Vqb70vE0wbKJQ64JR2i3evH648D3h0ad7xZuz6FKodW6UMcziYsshOP2lUKqkVRe97BcGF76PPSmS9Jq5Roz5lZ1Fx6OkQllKCevp8yVyLnNoq5XjzbnQLhtsHld82Yni4NcNcN3/5N73Z1cB261i1OLsMOGK0mv60We8eX7DaRNxsGg128Ph750w8O1Qg+6ywV1niVbR4XSpV+l2Krzxm0wMQfdiQkICEydOZPDgCO7FPDhx1BYtmuiWmHW/iRY5xtVmkYfjr62SaO12qnniJCUTer0qyQ6/AQeAp2dKSCic2iFIOfbcjaHLrwwfvD0vvEHXNOkydN1nQnmyZC9Txw+J/Mbz+qWi0syYA+xPEVnV0tLo/myxLFFzPElvAAhIVd+6h8Pz6pftlPCGwyoslmoJkkj6YZUUeV3XPXqjsPWQGJZgg+43pGw8EtRIlErg0sLvm+CLpbnnL5A99nAViYYS+mA4dkdpoGcjWPugdMS6YiIY/tx6j3SvsGD+vq/gYr1I4c0Wq/t7p8hhXNg2f4FZapgKYosW/hkpCtrVFu2YxdtzV3+W7IKra0/LXyAHEoY1qcHw+Xzs2RPbbp3Hl0H3GcU3PtsPw22T4Y9NgAZta0mCKyfyYSgp2unbPP92ny6SooS8NKVMn5Sabz4oZc1mSPNk86JN4mlHMmXbKgmhFxnEYPxwkyQyM70SmggXotl2GB75QTyinNXDkUwJKYQ9F//KKuDnWwoPMcQCX/9tTuEylOQMzGLX90+BTxbJg2HRJPlXwSWGKtMn123GGmEy3BCFPk2TauZJTbtF9E2OR0z627zpcbimJfEOqFQCTLBoYbXIasYMAQMmLZOVbnFwJAPOHS9hnpxuYU/8JM9Pk+yk+sBWousSfN0d1tgn3r8cAc/+DP9bJH1V+zSTvJfZc979VJHCDgqv6rpO9+6xDYmWHW0x2HC5bEJpK05Jd4ZXll3zNskDEDCkD2KaR4p2UrNLmK/7X+gN+NcWc2NktUhMMxxqJUGSyZh1TQx1z1ehyWMw5pv8XnwOR/Wj+VLKfkpyeGN+IA3Ofk28k1QP7E2Fl+dI27lwTAyQCTIlCx4MU14dazjD+AeGMg8LLNwqE2lOD1SfIZ7M3tTca6HIVRQMJ+RlhppJIlKWN3ynabI6i2ZiOB7gsOb2kc2Byybx3NKMUReEg2nmFZ9ZfjgQQdPnwvDUTHFQcoxihk8cmlvycN5HnSG6MTk0SKsu5ymW2kZZPqmSHf+bdEha/SBse0ycxHBSC/1aQIPKOJ25dsLtdtOnTx/ato2tDG/Zeej1ksXA7U2Rm/XqrvBwMVULp6yQCx5OTCcHhiEX5eYzc99rWEVCAsGhE6WEQx0Oui4ysFd/Kjd0Tobdb8g4/Nk34FdL5cF8eiD8s0tizX5Dvq+UUPmeG2Ru1Cf8JTdw3t8Vrhw8GErJUr40MLyL8HKDvcwkF7Q2KYH+drk0SogEOZznaCQaHhsgtQzf/COT+hkNxIuqmYSOxr3OLtzh7EgFzcFi/15uy5jFokAJNdKOBJe2F7mD4POnEA7/i7MkP1G7gtD9gleZZYlupwprK/j5ibNL2X1xMWW5ybOJFH6lZEp9SaJLEt5fLhVlzjoV4Jpu0mUpFth1RFYJaVliZ+IcUpz406iCa2ZsFvj+Jh78WOOzzz7DbrczcuRIRo4cGZtx5UHZGfREJ8waDWlecFljQ7/afCCyghxPIFRWYEQ3eP+v/DeNVZcChsL48Oc0lS72b8+TZNyavXAoaP+ZPikJfqQvXP6heBd58cVSkRg9z0TJbtE2c09c1wqfvKD0CqkGthIdni+XysRk0eUh/9/V5p6kRZOQSiR5eUNBUoThhUwf3Pa1VOhZdRnLI/0kFp+N19xnc7WjJXGanJtutlrMThxK56OfsMYopKVfSeH0+iJK9ekiuQ9zqHfvDBWDOem6shlXJGhfR5KAc/I0jXHZJN7cI0zV56F0kbY+kiGVoZ3qhl+lhvWwNdDyfOa2C/vnmq5F/ilhcdtkWW3khL/SPBIKfXQ6vHJxwdvG2Rk79h7Gjh0b+3HlQdnG0DXNPOZUVLSoIcarMKPutoeWmtepCJOulSXcrqPi2Z7ZEMZfGhmFsmn13Itaf5z5dwxDkkdpJuPL8Irkp5lBb1pNwkjBioU2ixhEnxG+4tRpFc+5NKBp8NJFcNOZIsZV0S0l++FErS5uV7D4VN79Vo6H9hE2uL59koSnPP5cnv+46VJc0q85FTUnIxytcWn5b38nFu5zdWV4+g+RHSfW0DRR/7yys9AW3XbhUJdl4+lo8OEV8MUS0XbxG0JZvbKTrCqemgkrdomkwz29xUBf/pE8Zx4/vPqbNDCZMMzceA/tIA5TXsfGokvYI5Y2JBy8fmGyBecyfAGJDBRm0EsJx1dStLjo30KKL7xHco2frslNk3Md4rKNuVkZeZd6sPBuiVk7bUWP57erLcnLYFR0S9gl3PxgpuwGcP1pUv3myzMR2C3iFb10Ibz+m1SKNq8unY9y+PBeP5zTBO4+O/Kx/9gQNsaI3nXaRnAeDv9529pwaw945Vf5O+daXdQGJv8jv8FQwuL4+trIJtaUTJi6wlwf5+XZ0K859fUKeJU/xKBbNQvtLVXzvZeo2Rlib0YNLY4//buY5d8W0YIiKigluZ4lO6BGAvRpHlmV5fEGiw7DOskrB4u3i2hXzqS9P03YMBqhkgGz10vIyay9211ni6rhmr257R6TnCKNW45jOLkMut0KM28Rb2zqCjEQg1uL+P+U5TK7XtoezmsR3jhoWvE9onH9of+bEh/O4fm7bPDEedAxTMm42waXtDP/rG4yfHOdJFbX75ffdX4r4VInOqWSLy/W7hN2TbPq4hFFgo3J8FoXMegFICkRep2hk5UFs+caeAtaDE1vBP03wOiF4b9zT28p/5+5Rq7feS3FgD8xUFQok1zQrjaVdTfXOdrQ1lKFxYG9fOBZwb/KhKZ2OEPCd2YJuuxE+FbjKHYt9NYPKIPlgQPH/m5nqcbshCFY0XFrNvakHOKDmZN4POsv/D0bxEaT3ReAYR9JUt5vyDlw2aR+IBb03ULgxkY3a01SlZdFgT2xn6we+SF0BZbDXgpGhldYI2YG3W2XWPWfW8TTPyUZejeNvcR0SpboqU9dIffe9d1hQItcwbDfN+ZfDdssRatELSGUXWFR29qK2beWybFLBav3SDHB3zslAXzXObmxxBlr4NrP5MbwBmTV0K62xEgLu0HTPOKdF6eYZGMybEjO//f0RoV65tdcbuGN52z4sp9PQ8H5l3n5Y0Ehcqn9NkI/kxVLhGiamMCffXrgsGm4NRsZykeG8tM55WO2GEGNu30BaPxYqC62rgnrJbum4H13X4Y6mhGn5YaD0pWPrimfsDIgGh0bk66ngUUS4pMmTWL48OFYLBY8BPD6ffD2EDivmA/zm79LOCKv0dM0aFYN5t5RvH0XgqvtLXkjrjd+ZaBrcNjw0C/169jmEE55KDqhuV6Nyi5XkO6VWpRdR3J54247jOwOD/WT9/uMF757ulc+q5kkE02FwvM7KvmemAzz+KwUPdkNemHY8a+UFB9IF0Gi3k2jolbZ0DlFT2S/kUEqUTwwPzaEHxsV6okHo1kTjcWzHLhd+V2roymKGs2zyIyCURgt5ky1c2Y3HT2P/nVAGfzo28z5ad+EbvDJQuG352XQaIicwrXSAcqCxqOu07nF0Z4Ezc7ywH5uyfiFP/xCUW2oV2RZ0tXEaTZ2795Nw4YNyQz6kZrLRoVl40itbMdPhBrgwej2oqy6guGwSjvBaEWlIkQbS1X+TByGO8+EZiiDvSqDOkfewoiVr97pOdgc4QThtkvHowtjS+WLGB/8Zb6icFhF2bFqQm4bxE0HJcR5btOICR2lYdCPj5DL9FVSlbn9X9G+fqhfeO3sYMxYIxzlLYfglIowti+cH6bnYaTYfVQabMxeL1reN58JF7eNrb5MnYoSbigCbna04yn3mWhoWNH53LOamzJ+xhtc3OQPCGXvm38gEAe1hsK6LkWKkQ8fYsFmcrdoGvQ/R2fytCIatEKgaXBG1/zGHMCi6ZxjOdV8YqrcEDocgj9+yw15KeRhrV8JejUmgOLBzLk8mDnXlGij8rzz1VdfEez4XHHFFbzw4gtUSE7GZ1G8nrWUBzPnRm8I/WEEnjQtVIs7QiRrTu50dmaQrSGHVBavZC3mG9/6fN+50dEGe1AZiq7pxCsbPax1mOOPkUTwnWfBXd+F6tAMaCFNJ3K0yu0WMY6DgkS6/s2Q1VbtCiXf2OTnteYJertF6LgDWohxH1xKmvxFQNkb9ElL4fZvck/kkh0idPX51YWL3P+4Gq7/X+62Gw7ATV+A92LzOFwk2J8qxUBHM+WB2nUUxkwWJcWHismTjwEG2RrxrLvHMbodwFBHM/wobsiYkfvFgCEaM/l44UuBh8E+DNyPgB5hfB1IStSw2UInNF2DhISSE1JTCnx+sJg4QZ5MTeL+wTB8sHRxqI53pg+emhHSE9bMBG8yjrDLSKWhXpGMjAx8vtwHfcCAAbz99tvExUk5uwO41dkeHY37Mn+L7gde3MD0c1EAACAASURBVA5e/TWUllo9URyUKJGo2VmaOJxqehzO7DxBO2tV2mVW46Gsuce+V0V3Y9VCT6oCKmoF5wbq6Am0t1Rju5HK34F9BQ9oSAeh8D73i7C8FKIU+egACV1MWSF5jzMb5qcHH80UQbLZ68WQx9klZ3R+CcarayaaV+Ua6rjsH2qGsg25zBoNLZ+UysBgtKlFoSGZLi/AxgOh79euAP/cX7SBPfaj9E8MTqo5rbBybMk03YgCixOvooO1esj7mcpP5X9fJ+PH7KTrkoXw5qvgMdO3sIJeB5KWQCEPbw76nq3z1QQ7CfH5jXdmlqJRpyx27Y72l0SOD16zcflFFpzO3GNnZire/djP7Q+YMIOM/XCkCabaxM4EeP+jiI7bukISv55zBquX/0PvHj2OhVwWLVpEx46hK9505SX539dDV0oFId0L570lS/h0r3ivFh2+vV5YTFHibmdnxrlOyxdKAchSfuoceYuDSn7DVfYWjHf3Jl7PX6OQqfzUPfI2B1RolyINeNfdl2GO5nhVAAuw7vBu+ix5g0MdqhRcter1i7NUKT4y8b1B78KCraEa7FNvKNJ5iQir9kiMPLg3Q91kCX8Vc4V+8odcMn3hu7uvM4krBmNrmNjcziPiDRSlLHreJnOGhN0qdMBYVL0VA7V0c0/BMCB5YlcyvsjWKdkyKYwxB/CDcQC834LjsoiOO2O2wey5Ac4+w0J8vEYgoMjKgmdf80dszBMToG4djW07FClRVIPfPtZH00YarVvoGIZ46wuXGNz/eBiap5YMmgOUiUH3tTD36k2wHKj93EEuPqshzToNY9mf/8PwZ1KvXj3T7+toVNSc7FNR9B2Ns4vWzoy1Iqlcu4KwnZKLJmbVx3ZqiDEHMegdrNWZ4dsCwBfetdzibE8zrRLxmh1DKTLx8XTmAlNjDnCToy2XOZri0qzHKJ+tEmvxiXYu/TtcJmJz4YTl7NaCK65BqL5vzRU9pk2HQmsrMn3w/C/SvSocAoZ8L84evQFuUQPeuATu+EZWd35DWGKfDY9+X0oJzXLLIWGblVKznrI16E6rCAwdNTE8NSPo91kzSeLuwagSX3SNi7rJsHRn6HLdGyj9bvMm+NO/mwtsDbFo+X9fZgbsfqotx3JzGTWRyxuutD4N/IsiNuhKweArfVzQP8CQQRYyMuGDTwP8ubDwOK+uw0tPWBl5lRWvD+x2eP9jP7eP9UfUTzg1FU7r56VDW40mDXVWrTX4Z2UBK0vNCs77IfNxIK9xcoF7XFQ5hAzg45WAehVcF4HnC5Yt38dZPSuFxPUzvYqDP9aMrudoo8NYGv7LvRddx+hh7UjQHPzq286YjDmsNwrg8IfBdiMFvzKwBt0fVk1nr5E70XgJcEbK/7jK0ZIh9qb8q7J4K+tvZhcQOx/t7JAv1Adgt9vpdWYPklIVR4d9JNLPkSLNA+N/F1GyVI9UTxfWNGLWOnHk6gWFC30BWV1/NF+e1RpJ0lA82tZzg9pIPcvKPUJLLQp19HC69KPd8a+EazSgdS0yZo3G7S7ZFX7Zs1xemSMaFXmLDGwW6aqdt0DBDDmdevIukXL6LY7oVrSBLdsp3b7z7jNHoW9aBNriC7bC2GmyfEuOk8KZkafFLKHabGd9FjQZhNtqwWKRfaZnGtx8l5+JX+R5GALr4Wg3IBz9xAWux8B1c7HHlJAAj9xj5fKLrCil+OzrAI8+7yc92348MMbKA3dYiXPnnoP0dMUzr/p54sUItVyihVLgmQBZz4KxDyxNwP002KIosgqDTu015kxx5P89mQZ3vXaUt78x924LwsTP/Vx0as1jFEpDGaQqHy2OfsAuFWYFGwZtLVWZlzgsHx3TpwKsDhyibcpHUY8tL3ZWuIlaemiNRmZmJg0bNmT3vwdESyUSI+gPwDlvCMOnIIE5M1zSLlTWeMw3opcUnHydfF3p9qIFuPoT6amQd3JyWLlj1GheeumlYu/++KYtKgWjvxZR/xxYdfGGZ99aeMz6k4Xw5AzRhajgkn6L13YLNaABI7uhrVdkXAvSN/l+hUwU6V7ZrmcjeGtI4VzTf3bBgLdCJ5gbz4CxfQreNhJkUw6bbmrEuHutdOuos32n4okX/cyYbeLqer6A9FsQox50nbUkSFoNevG6Cek6/P2rg8YNtGMx7qwsxaq1ik7neFAKDmxwUjk5dEI7/K+iUsNwYaHIj9+kkUZqKuzcXXr3cucOGs8+YqNdK52duxWPPufn6ylRdpYHatWEDYucuJz5z4/H8PPavtXcs6OAoqwcNMzvyV9sa8I7cX2waho2dP727+eitO/YG00oyARvu8/lGkcr7EHJ1K1bt0qPzHiHhF3aRSDRMG0l3Pxl0ZqhV02ANQ/m/p2SCU2fMJ8YzmosVcalBX8Aaj1oylBKTk7m0KHic/yLHUPXNK0v8CpgAd5XSj0T9PkpwESgQvZ37lNKTY9odCq7B2Ze+A1RYXz1V6m6LAhXdoYrOsnFdFjNPeEVu0VoP90ryx+/AY/1h6MeqUZsWlWWaLPWyfZDO8LKB4ThkuSKPBH6zMxccf8cZPjgrbkkjenLxRVakajZ+dm39VjxSkTYmCzGPLv4Zy2Kodea658kV4R7b7VyQT8LR1Ku4sU3BvH1199C1usQWAloYGkBce8V25gD9O+tU+8ULV/C0unUaNwAevfUmTnHoGKYSFWFYkawzuujM+F1O04HWK3wz0qDi672sju2PQNMsXCJotfAIhijIDRvrOPxgCsoN+3QrXTd1wRGF8JEanRYirb65TZrnuLbgD1Dp7e1HuuNfxnvWUqKKv5Yx2X+wUB7Q5L8Vtw2J16vF5/Px4gR2S35LFrk/VYXbi2aMQeoEpRf2JMSvj+vGWmipLDriAjThaGbegssq44NCjXomqZZgPFAb2AnsEjTtKlKqdV5vvYg8JVS6i1N05oD04F6EY1gy2FznWtvAKatKNygyyDDC0B5/TDoHTgS5AnePUVCKd6A0B/zYu4m4Zy+FWW3mlV7TTlwFouFOWn9aFSjMTZN53HXGXziWclNGT8Xvs8fG0oSL4K4b0ICLJ3joFpVDadDDOyENyrQueOV3P3wZaDSQPlBj12xSoc2OgkmeVqXC9q3EYO+bKWiQ5vQibbAOHghaNZE44v37fnCHh3a6PzyjYPm3aLrTpNcEW65zsq5vXS27VS88rafRUtLx9vfuEXhMFks+nyKFUsshV/3nKrfjcnQbyMVLHbmNx9ITXscCRYbaQEfd9m7cNrqaazNCtP5KC8aho/b71XpND/6AdfTgp7LNTasXM0br7zGxi2bJLzx2sWRl+LXriDbFCTMZtGEZZJXlM5tg9E983+vTkXzBiC6Jmy50sD3K+CGLwmbFLJonHdeyfd/jcRD7wxsVEptBtA07QvgAiCvFVRAThYzCYicxBZnN78YIHrDxcXkZaHGPAdmbBYQz2HaShi5M7LlYw4aV5FZOgi2gEajWvWOUcQcwDB7C6b6NvGjL0zHoQi1VfLiuissVK6Ua8wB4uM0br7Wygtv+Nm3Pz68MJgJnE5o0VRj/wHYscv8Gm3ZrkhLJ8SoZ2TC1u2yza33+Zg5WTxpiyWbIeOB2x6IUNPdBKNGWLEHzeE2m0btmhLjjtQgV6kMy35zUrECuJwaXTsqLuhn4brbfHzxTfQhlGixZZti1lyDs8/QceWpwvV44eW3I4wt59wrGyrx2FU1qGdNxJFdhBNvsWEYiolx/enyXAS6+EHefjCOKA/Ps5TnG/pg6VJo7IAeXSVnFU1XoEvaieSBGRIcYhPu7y3O1W8bhSXj88MtPaTILy/cdhjdQ3p35s3FOa2iG1/SSPfCTV+Grs6Pjc8GCU5eeOGFEh9KJAa9FrAjz987gWDe1zhgpqZpo4E4wPQsapo2EhBV99rZXmL1RJlFl2wPbZY8MgbtmfLG5qOBLyA0qmgM+j3nwPyt+bwO3e3gmuuvJT4+v8VL0O1cY29pbtBf7xyRtkowzj3Lks9jzYHHC53a6Xw/I/LKw5uusfDcozYCAbDbYMFSg4uGezkcRCr6ekqA5x+14XapY0naQECRkQHf/iAG8c+FBt37enjoLiutW+gsX6V44kVfsTz0enXMC50MA2pWj1RkXcJTlSqCI3sStFg04tww/nkbk6YG8JdQzjYvLh3h5eUnbVyVXY27aq3ixjt9bNxc8G+Ij5eJdE9OT44fG3LpS04cQedF1zXa1nGR9EdDjobpFHcMebz9QnFaP3nlIHiTArx9kuOye+r+T8KrSkky9fEB4sg1ry6GetSZUrm9J0UaVYQTRLvnHKieIMqdB9PluX1sADQvBdXKPzaFr2KtU1GIEZe2p1atkl8txIq2eBnwkVLqRU3TugGfaJrWUimVz4Iopd4F3oXspGgOPhgGg9+DPUclfOILSKXn5aZx/+iwOYpYdV7YLOat5YJxNBOenwXf/SOaDgNbSXXmloMQ7+DUmwfyxGPPmG4aTC0rqs5KDrZtV/h8KsTQWXXYvTdy43l2D53nH7URF5e7n+6ddZb+6uDVtwN8NsnP/uzQZGYmnNbPw8dv2ujQRn7PwqUGV43y4ckT+Vi+SnHJNUX3yIMxc06AXqfr+cYIQolcuDTyiWvAuZZjxjwvrBZo0lBj1dqSD71kZsKNY3yMusuHzUa+82aGxASY8LqN8861YCg4eEhx3W0+Zs4x8AcU4ZZh4STz8yGPt19sFOLt0642LL5b6H0W3Vy3Zv1+kYdesVu6Xt3a05xFo2kwvKu8ShvWAijSnU4pOuOuKEOJ4Du7gLys+NrZ7+XFtUBfAKXUX5qmOYHKQATVQQijZf6dsHCbzNbtaos8phl8AbkBkt0RKZxRLTF8A9vCMKi1bDt/izBozmiQX4jH65eWVNsP54ZvpqRBl7rw5x1gtbBLs2Gzhsb305SXjz2rct8opjEHeP09P1dcasGW53A+n2LzdsXSfyI3THfdbA01lDaNurU1nnxQ47H7rZx3mZff/hALsXGzontfL4nZjLZoioaKig8/D3D7TVZqWjiWkE1LV7z/iT/XY40ABw8paBT6vs0G/x4tXQaYYRRuzAG++9ROt076sYmoTi2Nbz620/VcDxO/CHDHjVq+8I3fr5i3wCAtGgZkMe7DY8j29ptfeJDn6nTm9PjqHPRn8fye5bxzYK18Z/5KeHcq7DoADWvDjYOgVbaO08rNcPPrEmoJGKJg+t1ymHJDdCvnkkb3+phOom679EkuRURSfbMIaKRp2qmaptmBocDUoO9sB84G0DStGeAEoksva5rwRS9oHd6Yf74YmjwuWivNnxS+Z1ohT8DoM3ObxuZAz+6Ao4cJKMc74LOrpUNKh2fh9snSM7TVU6LpkoNpK2VVkTcWn+WTlnH/7AZNIws/l6dNI0P5yFR+DKVIU16meTcxxVd0SVkzrFqruOx6LwcOKVLTFJlZioVLDfpcHF2SUEIW5nA5NeLjNL78wB5Su5WSWjrGHCAtDTqe5eHFN/2sXW+wYEmAkXf4uGNsdDGSl97yk5ae33B7vYoFS4xSYctEi4b1Nbp00PPlSQAcdhgzysoTL/pZusIgNU2R5VGkpCp271UMHxW71VHE2JhMg2ld+av+hfRLrEOS1U4DZyIv1OjG0/sGwp1HYcw7sGoLHEmDxWvhhlfgQZusEu6eAlne3KVFQEm8+r4ppf9bCoLTBhOvFAMeZ5d4v9Mq7QSDdINKGhHx0DVN6w+8glASJyilntQ07TFgsVJqajaz5T0gHgle3qOUCpPxyN5ntPK5v2+UllV5s+IOq0jPfjK84G1fmCXdanKaQHc9FT4cBjuOSCnx7xuF9ti8hvQivLitSAAM/zS0YW+tJJHS1HW4d4qI4QfDaYVxA0QcPxs1tHiGOppSQXPwk28Lf/mD8sYx8NBzkMPNPpqiimSUnhtnZfRIa4jRyIuUVEWvCzxRef6VkmHYxRZOqa0xb4HBtJ8MAiWfdywUD91l5f7brXi84pmvXGNw3mVeDpZRa9GCcNaZOpM/slMhKfTa/LEgwOn95X49o5tOu1YaW3copv9slEouwAzvv5qdGwgKA2ZmKqrXaEbK0XWhG1k6Q+Ic+DfHnAR/rsF+8zBmmeJoJny/UkTHejWGJvmTxMeNlks2p3x60HsP5/n3auC04gyyULzyayjFyeOHWetFD6ZKAWpod50t1Zrr9kGNxFxNiRYu+OhK820mzA815iDlyX/vEm2Gesnm1CurRTqO58EelcbLWYsL/o0xgmHAmnVFDxe8MN7PlZdaqVhBmcaXIVvdNQoj0bmDxs+THVit4HZpjByuWL9Rceb5HjKiL66MKR5/wc/r7/lp20pnzz7Fug1lU2wXCVasNnCakL+yshS//WnQsZ3GxQMtBPzwxbcBVqyO4W9RBvj/AnUYrF1Ar1roJl066qbJa49X0bBBIkuXmmwUWJFdTxIPmCz5LAlwa3YyttEhidMXlIAtLSS5Cq9uL2GUsMBwDLHLRLMFxOveH8E6P9EpXcULEwjKQWoYqqOu5Rr6Ie1DEyIWTY51TpPQbU8Q7D8AbXpk8dq7frbvMvD7Q43Cv0cUy1dFbiy+eM9OYoJ2rEFGQrxGsyYad9xY9grOAEeOwq/zjOPamAMcOAhvf5Q/TOT3K9IypFDr16kO7rrZyj23Wpk/w8G9t8Xo/AY2wdFmkDoY0q4TNcuMp0K+ZrfDwH46Vw6xULumxroNCsMIPacOh8aOHWEIC3q2mqhzJOAK+tAF+s3ZK9qGudTeWPXBPcFx4hj0bqeaZ5MNBfUrx/54g9qYy3wGVK5yWnKc6Ls0rSZFSrZszZfpN0XcxYSNyUJTjJJzXtLYfwDuGeenXhsPk6YGSM9QZGUp0tLl/4uWGvTvrUckUVO/nkbVKqFfdLs0rrg0xj0h/wO4Y6yfO8b6WLPeYO9+xWeTAlx5o4fhQ0Uvx2LRsFo13G6NR+62Uu+UousIWSwwsJ9GZfsgMHYCaYjX7IGsl8CbWxzXoa3GntVOPn7TzvjnbKxf5ODwEUVmkG+Ukan49ocAB1IvA4KJDW5wPiD/dD0M9kFI5UaS/N9+MbiKKI39H8Dx4R5FgjvPlsataZ5cvrrbBvf1jkxfOVpc1gE+WyQyvhle8bztVnhpsCQ/ctCqJvwxRlYJNkt0eukxjJuboefpOq2ba2zYrJgx24hI2TAYSsFl1/to28rPmFFWLrnAgq7BRQOtnHuWhXnzDc6/3FtgLNznC69NVlax3RMd738S4P1Pck/6uHutphWnAOf31Xn93eiTFQ4H/DrVTsC7nD7f7SU0np0BnrfB3huLBX74wkFyxfwX+rILLTzxop/rr7JQu4ZGIAAffxHg9rE+cD0AeCHrTdm3ZgPng+AcJhtrNoj/AIwnIbAFLA0iCvP8l3HiGPQ6FWHObdL5ZN4mqJYAt/WSEv1YYtUeSaIu3y2Vn32bw5q9EqMf3kW0jY9mivHOa9irhqrQlRXi42HOdw6aNNKwWsWg7tuvOH2A5xh/PFps3KK48DxLvkRpQrzG6V11Lh5o4ctvzQ2G2y289tQ0cNhzi48A0jMU731cNIuelAj33CoTTHoGjH/fzwefBqJSrj0RUbGCcOctFpj+c4AD2VELr8+86txQUFQJkVEjLLRqrrNkcSoWs5ZRAEpCoad10U1j+24XtG2p0aC9h6REqSA+1vxJ08H9GLjGgjoEWhUx4sHQq+eGYcpRIE4cgw6iVT7+0pLb/6JtUuCU5RfXdOsh+HmdCA5d2l7Kik97SbrLgDBsXr+kyM0ISgpPPWilZbNcwSyXE5wOeOclO4OvLNrTfUZX3dSbTojXGHqhuUFvWF/jjx8duJzyPcNQBAIKr0/ya/+sNPjyu+g9R5cLFv7i4JRaub/x5SdtdO+sM2J0GdDzSgmXXKDz0Xj7sdXQW8/buOVeHxM+C/DVdwHGjrES7KRrWm7FbrS4aoiEcDp27EjAdAnmAtuF8q8wNXi6rh2raQhbpao5QKtZpDECUgQVSWXrfwAnTgy9NDB2mjBW8rp5SkmV2rWfwYA3Ye0+oT76AtKguunj0O0F0YyJIeLi4IpLLYwZZaVju+hioFdcYs2nfghgt2sM6K1jLeIU7gkzDxiGIiPT3C2eON5GpYoca1un6xqGAalpCosFmjfR2fq3k9eetkYlF3/5RRZqVs+v8BgfpzF0sIUGp5Zcf9OyRNUqMPFNO26XRkK8vFwujdeftVHvFI2NmxV3PuQjMzvPkZauyMxUjBjtK/KqzOOV6+p2uxk/fjwulws9u/hA091gqQ9OUVqct8AwvbfS0lXJa+L82BBG95Nc1H8cJ4aHbhiw9TAkOAumJxYXywvQFDNThVNIPH/9AbhtklS53nxmsYfRvo3GrG8dWCyio+L3W/lxVoAh1/oiioOHWx1rWtH7bPz+p4HP5BRkZJIvlpuDhATo2FbPF2IBEdCqUgk0TcORvUQfMczK5m2KV96O7ME/p4dOfFzoD/H5oUsHnU1bjgNye4zxwBiraUjDYoFLB1l47jU/b38Y4LvpAc4710IgAFN/CnCoGGy+dycGaNFUzvXw4cNp3bo148e/yebNe5mzoK90u9KEhZKeDjeM8fHuSzZsNrnOqWlS2BYuHBdT5JUsKExy4CTG8W/QZ66BWydBenYytHNdeP9yqfSMFZSCgIFW0Y0yoUAmJCRgGAbp6QU0CMj0SXz/uu5S8FQQgvTNg/Htx/kLRxwO6Hu2hSuHGEz8vPCH47vpAYYOtmC35+4jEFDMnW9ulCOB3w/nXe7hp68caJpIb1is8Oo7fubMDZ1lCopla0GzSlycxphR1ogN+pbtCo/HnCO/a8/JF0S3WuG6K6wh5y3ns7yGfu8+8wm2KPjo8wDn9tI5r48kwhs0bMvTz75Lz/M94Aw9z599HWDJPwYjhlmoVFFj6k8Bpv1UtGR8OYqGsu9YVBDW7IXeb+T3jq26NHONpso0HAwDXvtNXimZdDyzO6sXLSMjT6WL2+1m9OjR7N+/nw8//LDg/cXZ4bfbpbFsOBTCbGndQmPedMexMEVe5K0ELAhVq8DCn4VxkBCvkZYm1LGufTxs3irXu0Z1qF5VY91GFVVhj9MpTS2SEjR++c0IK6sLwpA4rYuO1Zr7W5RSpoYpNU2RWDey7kV162is/MORz0v3+xXbdioadfScdInRrh11Zk6yk5AQet4CAUXHsz0sW1FyP7p1C0l+79uvmDbDKHKSNVq43ZCVFV5i3BT9NsbOQ999VOpRGlYJr6YYBUqjUvT4jqG/My9Us9xvwIb9wkYpLp79RfqZHs0EBb279+Cmm27C6XSSkJCA0+nk6quv5rHHHqNmzQiSNgGj8JVDTkOCMCiot3W4UEow9h+AJl08jLrbx8tv+RjzkI/6HbLYvFWRkAA/fGFn0xInc6Y42L/OyZhRkXPBs7Lgm2kGH/4vUKAxBxh+s4/9B0UmwOsVfRkz8SnDUMybH/lTu22HYuAwLzt3GxIrzlIsXmbQ83xviRjzunU0Hr7bypsv2Bg0QM93HU6tq/Hdp3bSdzg5uMHJs+Osx0JJsUBcHNx8vYW4MHn3nbtViRpzEKXMNz8IMHla6Rjz8/vqbFnm4MgWJ0e2OHnyQWuRe74XCXtToO946PicOJTNnpB82QmA4zvksu2wueanxSKzZ4tiaB17/fDm3HyC+AsWLOC7777jkUceYdu2bdSpU4ekpCRSU1OZP39+wftz2US0PyHoac7ywZQV8PcO0XPObF7gbpavUqRnhDaMSE9XfBRBuCUHHg98+lWAT7/K//4nb9k560wRd8phJjx6n41NWxVTpsd2bbxth+LUdllc0M9CvVM0lq0w8Adg2v/sOOxgtWp4vdLs4q6Ho4sFzZlrUKeVh4b1NTIyi6ZZEwn699b5aoIdq0WqG6+4xMI/qwzOHuQlPk5WQhWSyC7kkc5HrZrr9L+0+JZP0+C3qQ5aNNXQTYTkMjIV9z56chH5z+yu8/l7uZ2obPFw20grbhdRC68VCUrBRe+L0xhQ0tYu3SukiF9GR9fEowxwfBv0MxuJpG5W0IX0+qF1McXiD2UISTcPZs+ezZIlS+jUuTMtW7YEICPg5e91K5k1a1boPjSkItSiS1/Txwbk//xgmszwh9LlpnDZQM2GRtOQRlChMAy45Bov07+0Y7EIHSwtXTS+J3xWvNhopWToc1aoUl98nMbYMVamTI+9++X1EtI8uVsfD/eMttK8qc7mrSLQ9ewjNqb8GOCTrwIRScg6ndDrdKlUnTOvZDxUqxU+fTt/m7uEeI12rXRGDLOIlIGbfCElt0ujRzed5k00VhdDTweEv9+4oRbCWFJK4fHCV98JXfFkwiP3WEOatMTFaYwcbmXsk/6S1/35e6fIcwd3UfP6RYjvhcElPIDi4fg26Nd0kZN4KC23r6DbBld1lsKi4qBynKmUQJ8+fRj90jiuueF6NOBD7wpe++ixXKXGvLBb4ddboW4l80ToYz/KSiKnaWymD/DD5jHgmBd2aPPmG9Rvn8VlF1moVkXjtz8MfvnNKHY4oVKyhs+HKVuiQxudz961MWK0LyKDWhysWK248iYfI4ZZeO0Z27HWdD1P17n5Wivd+nrIKiCc3vds8ZpzYqsWHS6/wcu0n2K7wujYVjdd6se5xVPfu59j2jR54fNDy2Y6q9cVz9i2a6WbVn9qmsbEz33ceGfhHmutmqJlv2XbiZFYaFQ/THOOgOR8cnJAJYa9Keay2gEF28PoSR1HOL5j6BXcMOdWuKabVIq2rAHPD4Ynzi/+vm0WGHNWiFa616J4sf4OWqZMoEXKBF7IWoT3hm7iXedN5rlscEVHaFwtPKvlh1UmHcAVpC8HVQBjBjh4CF5/N8CDT/r5+dfiG3OAzVtV2FJ7XdcY1N/C68+UgIyCCeLi4LVnbMe0R0BWCo0aaIy4PHxMv1IyTPrITkK8RlKivOLjt5WyPQAAIABJREFUpWF0tRhXhWd5VNjYbWYWLF9tkGnCwbdYYP2m4k8um7caZJlMrqlpivlLCr4h6tfTWDLHwYZFTlbOc7D5bwddOx7fjzvAshXmYl5QSgymdnXMew27bNDLpBPKcYbj/wpXTYCnB4oG+W+3w9AORSdTB+PWHjI51EwSA9+qJnx+jTTayItaFeDnW6BvM1FSrFMBHuoLz1xQ8P4LzIyX/qn3++H2B3ykZyjM2E1ul3iesUzqhUPn9rophTLOrXHJoPAG/ZILzD/TgCEFbFcULFuhOPxvqIFJS1e885Gfdyf6s0vucz/PylL8s9IoNFHZv7fO4tkODm9yMne6nTO6hd4PU3+SRhV51S4DAWEsFRRqsVrh9+/ttGmh4XKKSNepp+jMnGynqkn3tuMJDz/jCxHzSktXPP2yv8RXjoDIa1/dJb+sh90CleLgiuO/cOn4N+glCU0TfZYVD8Dep+DX26TNnBkaVoFPh8OWR2HZ/XDD6QVTUgCGdsBdISlIB8MK1rOOFWSUNj7+MsCAoV68YXKQmsaxVnIliZRUZcraMQzF4QKKYRLiNWwmCyKbDRJNaH3FxfmXS2PslFRFenb15adfBZg01WDvPji9v4e/FhsEAsKN/+LbAP2GFJyLuHSQha8m2OnQRqdiBY3Tu1j48Ss7PU/Pfz/5fNCtj5ff/jTw+hRen+KvRQan9StYQ77PWVIMFFzUZbXA8KHHd5R12QrFWYM8/P5ngPR0xeatBrc/4OPpV0ox+fvk+fDiYGlz16CyPOtzbg0lPByHOL556CcwellP4S1XbxpoSXh9Pj78cCJ3jnkQjy8REn8BvRS6kReAbz+xc36f0ErOXXsMarcsDVcINi1xULdOfsOTli6URLNiJRBO9J8/OUISZ2npip4DPbicGjdeY6FiksbXUwN89nWgyMVUObDbod85OpWTNX7/y2DDJvMwi2EUXFCVg+3LHdSpFeoMLF4WoNPZ5pOB2y2TbUG1bTkYOdzCS0/YQs4RwDff+6leVaNze52UVHjjfT+PPe8/LjpHRYr69TSqVtZYvtqQic2/AjLGgn8hxCfBkAHwbL3YreRjhNLgoZcb9BJAK0sV/kq8grg8ynEZGT6+/2k/Q65LAi12oYHaNTVefMJK/3MseL0w8Qs/Y5/0k5lZ8HZNG2ss+kWEsywWEc7KzIIrbvTy3Q+lU9rXqIHGz9/YqZikYSjpi/noc36efbVgb+ztF20Mu8RyrLAoLV3x9ZQAa9YrHrnbisslOYG0dMWK1QY9zvcW26jHCk4npG5z5mPG5CAjUxFXO7LiqoIQbtJTSqEU+SiQ6RmKr74LnBCiZlUqw5RP7bRpoeP1yarshttW8Nn73YE8M53dAbedDvedG7uDL98F7/0Ju4/AOU0l/BKlx15u0E9QfBp3HkNtTbEEhWQysxT122exd19sjpOQAOsXOKlcKZc6l5kp+hk9B4Zf9tts8NUEO33OEhaHzSodiC691sfs3w00LTJPMxbQNOjeWSe5Ivy50IhYe6TPWTpXDbWg6/DJlwEWLDHYscKJK4jil5qmuOkuH599HZ0LmpAAVw+10L2LzroNinc/9seM6354k5OKFUIN+sbNBo06xWZ1NHmijfP6WLDbQo16cKVuZpaiXtusIot4lRbm/WinU1s9n6TFkCHD+OqrL4AgJ8Rlg3UPS/V2cTH5b7htsrS8NJTsu1qCVKsnRR46/e9Wis7bBNd8KlK2H82X4pwTCM391UKMOUixT706sTvlV11qISE+Pw/a5dLo0FanQ9vwy81H7rFybi8dl1PDYZeiFbdb4/VnbKTvcOLb7+SPH+20aVnyS1al4I/shtHRCEnNmG0wbKSPy67zMf1ngzO766ZVjAnxGoMHRLciql4N1vzl4OmHbAwdbOXeW62sne+MWvUyHJ57PX8LOZDCsXHPxS5OfOkIn+kqzUx2weOBRvWPT1OQg1PrCv8/rzEHWLp0ISHGHISQsD0GfUa9frjzW6Ec5yS/M32wJ0Uq2Y8zHH9X8ZU5cNmH0p3o943w0Pcw4G2ZHU8QLEzfj8+kwtXhiA2dLQed2uvHtKbzQUHr5uEv7Q3DrSH8aZdTo1ljMewWXaNrR53fv3dQp1Z0RiwpEVo110olsZoX4bS2/X7FocPRLTeeHGujauVcHW+nUzRxPnw9Bt4e8Oyrfp57zU9KqrTzO/yv4p5x0a8iCkIgQKFhtxw4HLBxy/GtoFW5EqZhs8aNG5tv4AtA9cTiH3j13tBGTSD26IdVxd9/jHF8GPRdR2DdPtiXIoqFecrxyfDB+v3wzT9lN74o8eye5WT6jXx0tvR0xfsf+zkcw9qE5asUGRmhd5sC1psk7lo01XhunJWkMPd5Xu9N1zUcdhg9MjLvVtfhtWes7FnjZO4PDvaudfLyk9HpnBcHv/1hkJlJCMXQ44V3JkbnDJzf12Laqb5RA42KFYo1TEBWJY+/4Ce5QRYtT8/ixTf9XDTQwvuv2mjZLHYn7PNv/WRl5T8fwSHW9AzJP+zbH7PDlghWrDZnRd111wPYbEFtH60OOLtTdO0gwyHRaS4/AlChbJhqBaFsDfquI1Ia3+l5+X+XF8xHlOGFH1YW/3gH0+DdP+CZmfDXlhILFG/xpNL9g7+ZucBDWrpi+y6DB5/ycdsDsV1lfPS5H483vxHzeBSbtij+WJD/Jhw53MLCXxzcfqMVqzX0wTaDwyHL3Egw9k4rI4ZZcTml2Mfl1Lj+Kiv3xarrfCEIBKD3RR727FOkpCqOHJXGG2Me9LH0n+ius1mxEAjXPVyjj6KgUjL8/r2TsWOsnHWGheFDLcyf6eC8PtE/llUqw0tPWtm4xMGS2Q6uHGLhkWf8bNgs50MpEUc7chSWrwpgGIqjKYrX3vVz7a3Hf0gzKwvufkRqKHLu96wsReOm3XBWnghabcAGuMByNSS+EZtevfUrQ3yY5GebYsqPlADKNima5pHGFeFmwBzoGgzrCK9cXPQD/rYRrvhI4mAeP7js0KMhTLwyJtKY+VDCzZ/zomljjXdfkvZrgQBM/j7AqLt8HDma+53kirBzhROXyzxB5vEo7PbQ+GqWR/HKW37ufzx3IkpKlMKV4Hj3oU1Okk0SfQcOKao2Lj5zI1LkJFkTE6SLTmqovH2heOAOK2PHWHHnYYl4vYqZc6Qhdqzw6tNWbrzaGhIX3rdfUaN5VsT+RlIirPzDQZVK2jGN+LR0xfuf+LnrYT/9e+u0a6WzZbti0tRAxKGYWEPTpAvXjVdbcDk1/jc5wPgPCmdk5UXP03XGjLJSs5rGj7MCvPK2X+5FpUAdBS0uty9pLKR0/QGo+4h5Hq9RFZh/V8S7Ko2kaNlVGWR4RTehMGMOUlp/ddeiH8sXgBGfBoVyvGLkv/lHVBJjgUIaV5QE1q5XnPl/9s47TIqi+/6f6u4Jm8hRsmQEVJIkCUpWQAREQMSAiL6Koq8oRhQTZjGAoKggoCCCSFBEAQUEJIlEyVGQILBpUnf9/iiW3dnp2Z1lZwPv93eeh0d3dra7p3vqVtW9555zow+HQ61S7bSjO7TV8Qcg8wZRCMHhoxZfzDS5sr5G21bahdy6ZSmp2/c+VsG8wmXwxXgnLZppIGHnHsnt9/n4Y4uKOsWK2l9fNFIUOUFakTU3eO29AE0baXRqpxEwVSDad0By54PRFS+7sbMeEsxBySJUr6Zs5SLB0MEGJYqLIMOP+DjBsDsMxo4L8N33VtR0bsqWgaG3K0XJ3343+XS6GbR4yAqfjHPQt2c63bR2TeVH27yTN6wkRWYsW2GxbIXNcxACRB582ZK84WPUsXAmqQWHgku5+E17ERwAt6G2OQkuRRF6pYdqz39ynkrPdPkAvstBCmb9QRtNFVRQn77u4q4/MxbVUBZY467Jt2CeEf4wru+gaGl2qz3TVIYFo8YEuGmQj/cmBfj3jNIu//lXixZdvBz9W+XHf5nvotU1Gi6nChz16wiWf+ei5PmPunmrffDZtLlwF9vsEAhAr0E+mnTwMuxRP537+LiyjZeTp6J7njNn7F83dDh7LvKdc4e2mq1ImMerRNeihYZXCHaucTNqhEHfnjovPulgxxp3RIXz2jUF/XrpQaYksTGCWtVzzkLKVxSNgeJhcuUNcmFsnUcouIAe6wwvgjO6K3x9N3x6G+x4BrrWg7bvwOTfYO9J+P0g3P8lvL4ksnOFmziy+10hhWFA6+YaLZtpEZle/LjMPqh6vCoPD0rm9onnVaHOVd5Dx5t9bD8v/9qxnUap4iKoUKhpAocDbu+nLuDBx1V+0zwvO2qakuQUGfW6QX5i+07JjNkmv/2eN5PS2xNC6Ys+n2TFGosTJyM/zt79Er8/dAIwDGWAES1MfNtBQjwXuP6xsYKSxeH1F7Lf6LdqptkuOBLiBR3bFQ5uhi2EgDE3qLiUETEOeK5bwVxTFii4O+nQlVphRrVDl6HEuPo3haZVoH0ttVKfuFK5CvkzfCNS/IrieDaCBFzDy+xzYA5d6ZhfQri+rcY/O93Mn+Fk0Uwnf2930+qa4McYFwfD7lR6IS89bVC2tKDnbT4SEyXnzqnimMcjGfNGgLXZqPaBcpCJtXHMUSssde4Vqy1ad/Myd6HFX3ss5iwwadnFy6q1l94KPb/wxUyTCZ8FSPWoIm5ysuSPrZL+9+QstfPepECINo/PJ/lrj7yQEsstXC612s9stGEYgm4dsl9VHD8hbeUFPF7JoShOOhFh8xG1OFy0LVQS2w59GsFnt0HjSkp2u31N+G4YNKmc99eaQxSsUs/Ym6BxFZi0Unn3dW8AD7QJrSov2wVemxvvNGDL39Dq8qzPs3iH0j7PnHYxLWheLXefIUpo0VTjxk4aySkwfbbJ/oOhX/LSpWDuVGeI4/2imU4q1vdwLlExJ9b95KJUSUF8nMDr1Rg+1KBbPx/l6nno1kFx139cZkbU+fjCKIM7BxgYeuhOJjFJsjJDwN70p6TPHflkOBkG5cvBo/8xaNtSZ88+i9ffD7B+U+HVAn/sWcVJb9RQ48jfki3bc36t23ZKbrnLxyfjnMTHqZTNqt8tbh0SvWdhmmq42AWMzOqIdvjhZ0UrTYiXQZOCacJn07MPqiVLwMA+OhXKKz2dRUsuwnw6YMLgqap2JqW6UXFOmD9MsVmyQoc66h8oJ7XPVsO4ZdC6OvRrFJ4Jk88o2IAuhLoZ/Rpl/b4KxWDDoVCCvy/C5oEFW0Ndj0ClfVbthd5XRXzJWcHQoWsXjYqXCdastyKmy01+TxWLYmOUOcJTjxoMHRHaaNL/Zt1W4FEAvbvrfDrd5Jn/GpQvm14gc7kELhd8/oGDyxt5+Xpe5KOgbBn47wNGSDs9qIad4//IEDeigkSVSkoDPD42jXIpuLGzzoChPuYtKrw7hRMnYfFSi9bNNXp0Faxck7Ou2ZbNNEY9bBDjhqPHJGPf9TN5WnQ/byAA38w3ufkGPaj4mpIqmTQl+7RaIADtenqZO9VJpQqq3pPqgYH3+rL1pm3eROOHr50YhtoV3neX5M/tFtf19OVMUveT31Qwv2A6H1B1tDu/UNLckWDFHtX46LfU6n7JDnh/Ofz0IJQIY/yajyjcWpppuP9a+HFHhgeBSpc0vEzJW2aH4rEqV55ZOF+Qe0nM88yWy/+ow68flCUuTmmlSAuWrrDodbsvywp+x3YafXukF4vSHGomvu1g/g9mUAdkyRLC1m3I4VS/A+iVacCloWwZQcXLRI5yqi2bqXb6NO/RjDhwWNKsozd/NKojxAujDIompEsh6LogLhYmvOnku+8jpwHmN2rVECz5xknRIgJ5XqRsdAQiZaCe0eLZ6TZ5RYsIxr3qBPy5tizMjPv/66dGNY26tVRANnRYttLihdcjq5Ps3CWp29yrbPVcsGW7jGiV/dUnjiBp5IR4wZVXKHertz4MqNW2fyF4pwABcPYHZ6hVnDFlHYHUTLkpS8KuE6onpkI2LBkp4b6vQhsf/z4Hby+FMTdm/2HyGIW4GpEBTavAu71VxTnOqXLtLarBtMGR/f2gZvauQoYG7XLhQpKB2fLVs2UoW0YNqNgY1Tbe/lqNB+/JOr946806sTYNbYEAdGof/LdLllu2OtiBAPz0ixq8yWF0sjVNsV1ygpOn7BVI/X7JDz9b/BuGpVFQ6NBWt1UxLJoAFcoX3uL39zOdVCgvKJKgmrLcbsHTjxq0vzb74fnKszYenLGCV59zRL1L98xZaNbBS/ueiv3TrKNXaevnMLPz127J5q2RBfM6tQQlittQO2MFg289Pz6Sh0PSHeD/DvyLIPk+SOp/oXGwrIhjRcJAqpphVtCaiCyXfuhf+NdmgPlN+HqjYt9VfVYROH7Ynv3x8gARBXQhRBchxE4hxG4hxBNh3nOLEGKbEGKrEGJ6dC8T6H017HwGFv8HNjwOc+5RWxwps+/4vKI8vNxd0SETztMhS8bBrCEqD58LlCtmMP5Ng0YNQw0F4mJVt2RW8PvtL19KCGQyqv31N4slv5hBzIikJMk38002blavffBxgORMzAm/X7L695xt40EVOk+fSWeupMHnhwmfFj72yslT9t8DTYeziYVzed7kakGpkiKk2BgbA/fflf13M5xmT0J8+N6A3GLdRsX+2boj7+9pIBBe1twfAALbwDedIPlcksG/FP5RlORFCX1oZpRjQP8BuN02283S8VAlAqqx2xGek34iSbHvEr2qrnf3NJi9KftjRhnZBnQhhA58AHQF6gH9hRD1Mr2nJjAKaCWlvAKIMCGVQzh0qFNO5c2TvDBiNlR8GsqMgh4fKc2XgKmEvR7+Gl76AfafJw/ffg1sfxom3ApTbodtTylHklygfIybzS/X5M7+RsiATIMzG4vOqTNNW0NkXVeFpMzoPdjPvY/4WbzUZNFPJncN9zP4/vQt4PhPTeYsMElNVS3fiYmS3fsk/YfmvEAmJXTo5WPXXklSsjqe3y8RAn6e62LsaAO78VFQeOODUBqgxyOZ/4N5UR2j+YEiCQLLZnGoaYISEfTJHDhsH1T9fkhMyuXFFQLs3is5ctTeBnDSlAAElmKrtkgyHF1Jg2JFqKkXxyF0HnvsMWrWrEl8fDwADrdT7fgn9o/MDKNMAjSqBJkJAoLQ+l6qH55bkH861OcRyfK0GbBbSrkXQAjxJdAT2JbhPfcAH0gp/wWQUua91E+/ybDxUDr7ZdVe6Pw+XF4adv0DyT41AYz/FSYNUFz2IjHQpV7WxwWqpcZw/+GK1AwUYf3fu5lV+RQ7aoTeqievqE3RWA2nzTYfVIpjxjdZb+VWrrF4d2KAh4cZCNR8pGnQ906fbXrFsmD61ybTv7Y/rmXBoPv8jH4tQNOrNQ4elrmiDu7Zp/KezRoLFsxQhhixMYLYGHhwiEGTqzSuv6lgmS1pmPqVSZ2aghHDDLw+lYv+5TeLuwqxVsma9RaGzaSfnCyZGUHB+cAhi4b1RJBsgz8geXtCIOLuy5yiSiXBXQMV42TxUotv5pt5di6Amwf7WDbPhdOpJCrSUowfTzVBFEWFsczFHBc4i1LO7SYgLRAQHx/P+vXrmTNnDr/88gv+ikWZ2EtXK/RI8fFA6PmR6hIVqOJowATTJnAfT1QyI+78MV6HCLRchBB9gC5SyiHnfx4EXCOlfCDDe+YCfwGtAB0YLaX83uZYQ4GhAFQs1pg/RqX/8sBpGDVPURSdujKDfrZrsFlrGjYfgRvGBxcnAAwBiFB6YhG3StdEkF5p4y3LgqJ9cBoOnE7neZcXyb6kE9wqf2CdeezCe3ca91ErjE5scopk735Jy65ekiJYKVWvJujaQSM5GeYsiLydOr9w/106Y0c7QiiTScmStt29ORbAyksUKwr1amscPio5GGYFW5hw10Cdca86cDlVQTcpWfLXbkmrbl7b3VsaatcUbFjqCukS9fkkHXv7+GVV9Jk9na/TmP25E0NXTKLEJMmOXZI2N2Z9rbmF2w09u+qUL6s0etZtPP9c5Tn4twaQeZDFQK95lBzg4VDvLsSI4LGfIv28kLqKsZ41Ob8YKWHNfjh6Fq6uBH0/gX02bcRF3LB39IXV/6VkcGEANYF2QH9gkhChwgpSyolSyiZSyiaUzFCg+DcFOrynmCzegMpDTVkLt35qf7ZdJ+wNmgPSvsVfSth0OKIP8qmrE/GxcTidaiIRQqBpGtWLlOWnhH6UEjGK2fJeM47tsdfH9gckI57y0/i6yII5qJXw+5Nypo2Rn2jWWAsJ5oDSXr+icNXWz5xV7keXQjAHmDzNpM2NXj6dbjLve5PhT/hp2TX7ANmxnYbd3tAwlAdqtKHrMO0jxahJY1IlxAvq1VY+rnkJjwe+mmPyzgQzPZgDiCKQ8A2I4kACUASIh/gpEFuWU14fr6euJUmm7yI9MsBJK5UJ3ovMcQuh+lduvgqqlYSRHUI7SWMd8FC7fPc1jSTlcgSolOHniudfy4jDwBoppR/YJ4T4CxXgf4/oKqb9HuwIAiqwbzykVuMNM8lU1i4TmahXGiwJruy3PZeJeMrHFg/7e0MKBu1ty9vjBCyqwWs7oPHHMshkwuuVLF1hMWlK4eFnRwNbdyg52syrQQkRi0jlFmVKq0Jhq2s0tu20ePcjk737L42gnR02/CEZOiJnqaHEJLXbzwyfH87mwaLgyvpK7iEz4mIFA3sbvDO+gL7zjtZQbD8EfgMCYLQE4QaUyuJznhVsMo8zwt2UUiKGuf5dvOFZy1kZJc7tLY1UTe/lH1Sq12moBsmH2kXn+DlAJAH9d6CmEKIaKpDfCgzI9J65qJX5p0KIUkAtYG/EV7HpcDDHPA1CwI7joQG9/mVQqwz8kXleCYPisYqzng1S8NtadKUhVndyeXwc7FKVwAWLLZ591c8LoxwE/ModfsWa6HboFRZMnhbgyREGbld6p5/Xp9JKK1bnfdNO1cqCdT+5iI1VWiJtWmjcNdCgU29fnmmt5AVKFIcG9TQOHZG5nozmzDd5f2xohLUsmBamxpIbpHrsN8agGowKFMIBjjZhfz3Hv4s5/l15d/67WsDga5QUSRG3IukXALLdl0kpA8ADwA/AdmCmlHKrEOIFIUSP82/7ATglhNgGLAUek1JGrk13RXlFKQw5OVCjtP3fXF0R2/2mQweHpnLv8S4oEQvT74ho63NGell+8i/8YSziE6WPFSeCP9ZbH5qUqe2hQ28vtZp56dTbF9YOrTCiUgVBy2ZaWBejNJw6Da26elm9ziIQUIqM8xaZXHdT3nYWXVFHMPcLJ9tXuyheLF0YyulU0gbfTnOy/DsnH77uoGb17J9xyRLKM7QgMPY5gyNb3Myd6uTPFS5+muu0teorWQJef97gr7Uu1i5x0r+3fXA4lwg9Bvo4c1aZVZw9p9hIg+7LvvvyYrB9p+ToMXvGyfhP/7d2pBcFXVNU6gIK5lDQBhc/D1c/nEyCZq/DOU86/cepK3nKH/5jH4wf+hq+sMnoxDnhiY6qCalEHFxfK0dc89Iilh9Tu3JFmSroun5hxe6x/OyxznL1rF/xv9OsQCRyo4n4eJg12UnbltoFRshb4wM8/VL2dAWXS2lw5CWzAaBubcGaxS7iYglLC00z6fD7JV4fdO7js2X1VKkkmDHJQaOGGlLCnv2S24b52PSn/fe/bSuNpx4xqFZFteKPeSPAnn0XP1YG99d5f2xwUdnjlSz80aL34PQdXZEE+HOFi7Klg80qPvpMmVXYwemEdq00HA7VnWzHjooW6tQSLP1WsZ10TeXVp84yuTeH6aJ8QzRMLqKE/CiKFo6ADspT9NE5qnpsaKrg8EoPtX2xw8874Y4vVM4qI1wGbB4FpXJARbJBi8TiDDPr0rpcbYTLwZe+HbySuprERZULTPM8mpg52UH3zjruDDotScmS+x/zM/WrwrHamvWpg1436CENW1lhy3aLBq2Ddw2GAfs2uihXRlzoJLUsSWISXN7IE+LzeuvNyt8zrQMzEFCTxeatFtUqa2z7y+K5VwM5SjVt/tVFA5smII9XUra2ElYDpZ3z/OPBbkmgKLDVrvZw/B/FOHr8IYNSJQXrN1k8+qyf3zfk3zg2DOjUXqNsacGvq618q6HkCsPXqKBeI727Tkdwv+tq7nFdiVNoTPNu403POlLIm8np/1ZAT4NlnXcfyWYQSwlDZ6gW22SfIvs7DHihG9zdMm8uOh+t5fISCQnwz043bhvNlz+3WTS8tnAItBzc7KJShZyxNfwBSbFqnqBVavcuGlPHK62UjEhJkTz5op93P0qfwDQN/t7upkwpe7u+NCSnSHoN8oXVms+Mw1vctvIDKSmSOs29F1Ik33/tpHP70C37mbOSgff6aN5EY8R9RtBKPzlZ0ryz96KUGv/PoMZp6LYrKKh/G9+L6x1ViTtvWZcq/ewwT9Ps3FQCts1KucOlRFuMHjQtMqqPEKrDa+pgVZC4vw389EDeBPPzNEWGd70kgnnpUioHu2Wli6XfOrmhU/BjLpogwupolCpReDRPDhyyD1BShuZx02AGVCqoUgVBwvn8dOWK9uyM2FjB5VWDP2+5shBvI/mRuVgeFyt45+XIG0YW/2zamlCcOSeDBNMOHJQEAjZmFTr8e0by6P1GCH3U7YbnRl4aOnuFBY30slzvqHIhmAPECAc19OL0dERxjEupemse+pphw4axatWq6B3bBoUvoOcEQiij59dvgtHdlCxAtJHRJ/QSQMkS8MdyNw/eY3BFHY12rXW+/NjJYw+mD/gjf0vbwm0gIPlxeeFItwC8+GaA5JTg4JaaqoTB3pkQCBEbCwQka9ZbHNrsZvtqF//scDNtooM/t9lrZycmSVatDT7GmbORm1jVqRX55Pfc2ABnE1WKBdIdne59xB/UHf7epADeTFlEv1+ye7/kzDl7mqKuCxpF0Wru/wKaG5dhx+JPEE5aG7mTBLkAKeHh2TBoCnzxOxMnTqRjx448/fTT0TkCOnaFAAAgAElEQVS+Df7/t+B/DMOHGhQrRohh8OiRxoUVq5Qw7FFfkGWc1ys5lwjPvlJ4RLd++Nnivkf9nDilOPApqZLPvzTpMdDHh5PNEDKBENCquUaZ0oK4WKVa2KubzsPDHKxaa5GSYXLweCSHjihhs4xIOW8wEgkN71QOPEYPHZHUb+Xh7fEBfvvdZMZsk9bdvMz/IXim2bJdORb9c1I5S6V6JL+ts+jS18uRoxKHzULcslS3ZkGjZnXBi08ZfPiGgxs6afndU5MjHLWS8MvQWT5F+jkko0RTW3cQvtmkNNdRO8uUlBTeeustdu/OmyLt/9+n/Y+hy/W6rSGFL6CU+VauUV/ieYss2nb3MvJBg+rVNJavMnnzg0BELkY5Re2agrtv0ylbSrDgx5xpf0ydaTLta5NyZeHfM5B63nHwwXv0EN0jXRdkrgnFxAi6XK9Ru5mHgX0Nhtym43CorsMX3wxgx1C9/zE/LhfcfKOO368YQEIoqmQakpIlr76bs+LZ8X/gyTHZf/DvvrcoX9dDzeqCc4mSv9PVJvh0usng/nqQZG6qB8ZEqEmeV7j1Zp1PxjkwdHWfbuurs2qtxQ23+myt5woaC/x7SMFPnHSgi/R1rYlkqndbFn+ZA3y/zba/RkrJwoULGT7cpoaYS1xaAf3IeQHu7ITo/w8j1SNDCnigVB+P/RMc7NZvkvS7O2/pZn16aHz+ofPCQO91o2T4vTrX9YxcR9uyCJloGtTTggJsGuwaw6SE0qUEr74T4NV3sg98Xi/cdq+fEsX9lC8r2LNf8tgDBiOHpw+XNz8M8NaHeRepLEsZQmTG8FF+ziVKHhhiEBMD+w5KHnzcz+p1BddcFRsLH7/jCOoiTogXtGqmcctNOjNmF76I7seizbkZzIrvSS29OBbwj5VC/6R5nJBR4n3GOlXxI5PWuq7rxMXljbtR4WO52GHb33D3dDh4WvHULy8FHw+AOvnQIXIJMVtKFIdDm90hlDcpJWs3WDTvlL8drG63YtMkxIcKeo14yq/U8rJB7ZpK2XHz1mCT4ZefMRhxnxHC1LGbzKSUlKoZSk/MKZxOKFdGcPyELHCnJrVjIOQ6ihWFgX11qlURrFknmbMgb5UQQQl2ffVJKIsI4LsfTHoMKASd0zYslzRU0hJwoLPXirJjy/5T0OqtEPvL2NhYDh06RIkSF0d9vrRYLplxzgM3TlBa556A0njZfky5g2w8lHd6w2nMlnHX5Gkwr15NMOZJgwlvOujeRQvbWh0J+vXSQ2SZQcneTC+AVdI1jTXbYmR8nGBAmO7HNNS4XLB1lYv1P7tYNs/F8R1uunVMvznvTQqQmkqQ+YZlhQZzAI+XsF2kDgf07q7x6H8MrmuT9c33+eDg4YIP5qC+9pmvo+EVgn0b3Yx9zsGj9zv4ZJyDTctdtt2o0YQnzP2wLBlUtyisOGQlRj+YA1QtCW/erLrg450kJCQQFxfHzJkzLzqYZ4fCn3L5drPSHM6MRC90G69W61/eCZXCi2rlGBmZLXnYQNS7u8aUD5X5rdMpGNBHZ+0Giy59w/uQxsVBy6YaScmwep0VNJ+VKiFs/T+lhS3nPK+RkirDTlCJyfavg2KuLv3WSfmywS5QMyc7aXitl737VV75mk5e3hrj4LprNRKTITFRUuPy0M9pmQSxenQd7h2s858hBjUvF5iWYrZ4fbBtp8V1N9lr0Rd2TJ2gpATSumoT4gXVq8JTjxg8/nzeLdNXrLbw2WTuUlLh4y8KX7olX3FrY+hSF5bu4tNiN9O5c+cLBht5gcK/Qv/77IUqcQh8pjKz6PtJvjuD5BZuN3z6vpPYWHEhF5wQL7imscaAPvar1zv66xzf4WbWp06+n+XkwB8urqiTHsCWrbRISQ39O68Plq3M/4G1bqPkzFl77Y+PPgsfYK5ro1EkIdTSz2HA0NvT782uPZLuA3zEVfJQro6Hh570hzgWBQKSvQclO/5Kf33OFCevjXZQr7aGwyFwu9QzSIgXNKyn8fSjhX+dkxllSkOt6qFWdm63CKsFEy2YJtzY38u/Z5WrVVKyJDVV8v7HAZZE2Hj1P41isdDrSnr37p2nwRwuhYDeqJLSZwkHU8LuE1D2SWg8Fub8kftz7ioBu0rm6eq8ZTPN1nosXDriyvqCD15T7ehFiyhD4QrlBUu+caGff/uvv1ksXWEFe44mS77/yWTt+vyf8KSEbv18nDwNZ8+pwZ7qkXzwSYCFP4Yf6GVLh7HzcwoqVgi/01j4o8Xr7yl++pmziva374Cke//0BUGTq5V5d5ydtjuKFXPBfPgSQiBgr1WX9ruc4uqGgiGDdDq2iywNuHa95LJ6Hu580MfwJ/zUbeFl1AuFhwIbFmv2K7Ocas9Bm7dhwdaCvqJcofAvRa6rpYqfW/8OKS5cgEQlivefhgdnqe6Lvo1yfq58SrWAEuwXYaVIQ18bOtjAmWle0zRBTIykXWuNn5arANlrkI/bbtG5a4COaSnzhHB2dfmBLdslFa7w0LGdRskSgmUrrKDOSDusXGPZdnYmJUlbn9WMeOH1AB9ODnBNY40Tp2TIRNayqZatGJ4eaWfRRULXVSfr6X/lBQ2X3OL0v7Bhs0XTq7ULejWg0l6Tp0X+/J1OmPuFkzbNNRBq9X3ipOTaG71B9Ek7eDzwzXeX0Ip89T7o80k6tXDrMbh3BrzRS6VKLkEU/hW6psHcoTDiOiWFm91YS/XDCyHud9ljUQ1VAM0n4a3V6+zTIxfMbzOhdEkRNFAzongGd3fThM9nmLTt7uO6nj6+mGmGbfPPLwQCsGiJxRczzZBgXrwYXNtCo1qV9M+2/6AKQhl3Gimpkj37JV/NyT44nTyltOrtdiV/H8c235sGj1cy45u8W1ne3k/nn51u/lzh4vhO1ckaExOdYw8Y6uf4CbUT8ngkSUmSP7dZmCbcd5dO6VLZH+OxBwzatlQ7mLhYtROsXFEwdXwWu+RLFaMXhvLEU/3q9UsshZuGwh/QQfE5/3s9bHxCFUHttNMz4uhZCjyKZQPLUnnH02fSdaxTPZIJnwVYtCT02r9dZJKYFPolSzNCvhTx0tMGR7a6mTfNyZaVLpbMSdcHf2CknyEP+fnlN5ONmy1Gjw3Qsqs3Yu56OMz73sTrxVYLJjFJmU4892reBPTr2mh8+IaDEsWVlrvbpTpZP3s/OibC+w9Kql7l5fb7fTz+vJ9FP5k0qKsx+nGD1593sH+Tmxs7Zz3k77ldD3GlcjgErZtrec6WyXdsC7PlOJMKiXlokJqHKPwpl4yId8GSB+Gz1TB/i3ogdk5HZRPCW6sUIqzfpPKOXTtolCgm+PlXi/0H7VcGM+ea/GeIToO6ytvTsiQpqfDqOwH+OZHPFx4FDOqnM3yoQYw7nZnT6hqNzz5wcvPtKmp/NceMaEWeE3i90LaHl9mfOal8XrLD41F86e9+MJm3yMoz3vaoh42gDk9QOfvuXXRKlvBz6nSYP8wBAgH4dqHFdW00Xnpav9CTkJaumzHJSdk6nrAsHrtmLQAktmmwaKFNS40BvVX377SvzRy7YMXHw+B+Oq2aa2zfKZk0NcCp06qDtW8PnbOyOB8dK8qKjH90WVHlT2yH0Quh55XQpnq++4LmBpdGY1E4fL1Rid9kDOoxDnipu7KDygkugQYipxNu66vTr5fOmbOSCZ+ZLP01f1fnmqZWccPuNHA5YcZsk7fGB0jOgoZoh03LXVxZ314fvFwdT764PlWrIjAMxZbJD+z63UWNy0M/87lESYvOXrbtvLjrqFtb8MITBi2b6Rw8bPHSWwF6d9e5vZ8ewno5e04y+D8+vl1o/715b6yDe27XcWUK7LmRVW5ytWDo7QYlSwjmLFCTdEbJhXdfMbhroEHs+dRTSipM+CzAY2EMPTKjXFlY95OLokXUzifVI/H7Yc9+i5qXpy+AUj3w/LfHeN36TTUYzf0DHphlvygElRm44QoY3y8qQf3/ph56TvHVehjzPRw7B6UTlFtRToM5XBIBvTDgy48d3NBJvyDhmpoq2bVX0uR6r60uSjgc+tNFxctCg1tyiqReCy8HD6d/L9PG0iWa1ryAye85GHSLHlILSUySlK7luaiGpTRXp9gYLtA8k5Mlm7dZXNNYsw3odzzgY+4CCyFC72mJ4rB2iYsypRSNMyVF4g9A+55eNm7O+QO4706d119w4Hap60tKkmzebtGuuw+/X7G3Vi5yhexcUlIkrbt58Qfg7+Myy93L5HEObrtFx+EIPoZpyhDqa6pHUqnHMU612qmC+qpFquaW5A1p0QdUUJ9+B1xbPcefPTP+b+qh5xT9GsOWp+DYy7D96ZwH83zqCL1UERsLLz5lcHCzi2M7XNx8ox6kxx0TI6hWRXDzjTmj+v241LLVBz+XyAWzh8oVBQu/cuI77sb7t5uvJjsoVTL7Y5crC71u1GjdvHAp/o15I0ByCkF658nJkmde8V909+mYUUZQMAeIixPUr6vZFt0NA65trnHugJvAP242LnfRsll6GDj9L9Rv5eXBJ/xMmhLgubEBajTxXFQwL1oE3hijqLZp1xd/nuufxo2/oZOO0yaV43TCb4tdrFzk4tCfbmZOTi8ex8aqz5GG7l1Cgzlg63Tl80G7xhkKvLdfA389o4xxYm0uJNUH3/0Z+YcuYFz6AT0NF2PMms/MlsKIOwfobPtNtdZPn+gIYpsIAT/PdfLIfQaVKmiULa0FDaQ0JMQL2rfO2VcpvD64DynVoF2z2EXHdhqGLnA4BDd11flzhYvNv7rYt9HFu68YIQH+5WcM9m1w8+l7ThZ86WTPelfQZypI7DsgaXydl6/mmBw6YrFmvclt9/l4d8LF1wmaN7G36BNCFdKTU5RhRup5+eG1GyyG3WGQEK+akK6qr7F4tpN6tTN4nXoUU2roCD9vvB/gZA5kgjOidXPNdtcWHyfo21ON15QUGUbjHVxOxbKJcQtu7KQz+3MHf/zi4uw+N0kH3Uwd7yAhIf07lBnhsg9n08gFPj98+Au0fRc++AUCNmkoTag07iWCS6so+v8RVbzyrMEDQ9IdcPr21OlyvU6Daz0cOapYGfVqa8TEZAzyocEjNVWGdRcKh0NHJA1ae3j4XoN2rXX27Ld484MAG/5Qx+l3k05cHEHpCadTULa0EsgCuPcOQa8bdOq38nIuEXp203jwHgO3W+A+X2iNi4Xvpjup3ypnS+A6tQTD7zG4vKoqVn/0WSAqef09+yS3DYuewuWhIxYVyocuZnQd7n3Ez1sfBujaQScpSfLzCpM1i90h8souJzz+kMHg+6OrvBmOY29Zkn/PqOc8a57JS0+HBszM37OYGEGX69JN2w0D+vTQqVhB8NFnJqMeFkGidH6/RAhCFiAeLyxd74WOFjz0DmzfFz6HDqo9ud9F9LQUEAp2hZ7khX8S8yU5WlrE8llcN84Wf4hTxR5kXMz1xHc9WGgcwfMbxYrCQ0OD7cwMQxAbC4/+R42CxldquF3ZH8s04bMvc04NOXYcnnghQPNOXgYO9V8I5gD16ogQlUYIHugup6BEcaW1DgRNTmnQdUHVyiJH7kKdr9NY95OLIYN0Ol+n89xIg62rXJQpndNPmPewc3VKSZFMm2WSnAwb/pC89GaAdz8yiY0RtqkdwxA0vCL6oWDlGovklFCKaKoHJnyqluVHjsKLbwQIBJREhJQy7Mo6M9xuQdOrNb77wWTJcovkFEliouoQ3rFL8vjzflJS5YUu5WPHJZ16e5Vq576NsP2AfTCPcajudJcBz3aBeuVh70lVqxsxGxZuVY2MhRAFt0LffwpqPq/+v2QcPNQO+jdR1MQow4XO2iKDuEyLxyl0EHCP+0paOCrQtOsUqHkaap7Klw7RwoIr6mh4fYQ0tbicgjYtdCDAgUOKGZCZrmaaSsrW74fTZyQDhvqz7SLMKTZvVQPTLqhnRFys4Pq2Om+PNylmI98KisqXEKGEhhCqeJmxSBcbIzB0JXL10KjC1c6+YLHFw0/6eW20A6cDNF3R/h54PDRQ7d4rcdkMr0BAsuGP6Acoy4LOfbz8ONtFbKxESqXL/+wrflatVee7o7/O0/810PXgydpOBtludxgIKCXNnrf5qFdbcHVDjX0H5IXjfzzV5NoWGolJSkTMsoAawKEt9jKRGkpM6/o6cH0tKJOgBAL/M1MVTQMWzN4EV1eEr4eAo3DJRBTcCv2cR4lr+Uz4+xw8MQ9qvQDvLov6qfo6a1NSuFUwPw+3MKitFaedUVnpI9c4rQJ7FFG1suCJhw1efNKgeZPCVa44eNh+cJum5K89ajDMXWiSkhIsUWuakjNn4cq2Xq5u76VyQ2+OOcORYNa3Jv+ekUGFU7uVm88n2bNPnX/WPHvrOClh05+RrfqqVBK2ut5Op+DBewySD7mZ8JaDPNZYyhE+nmpSpraHK1p5KV3Lw9AR/pAGrNKl4MM3VNDPfB89Xhg7zn6isquZ5ARbtksq1Pdw0yAfg//jo2IDzwVjkJgYRZOMjRG2wTvjdfp8Ep8v9BkWSYDpE51s/tVFkQTBtFnmhWAOKu2zYLHFL6sy+comlFS5psyIcUL7WtC/sQrmqX4lJ5LqT8+xJ/tgw2GYtfHib0weoeCijN348gbgjSWRCeRIqfz6uk+Aju/DRyvAY58Lu0ovS4IWGr0ModNQz5t99IA+OltXuRj9uMETDxss+cbJJ+MKT3Hl0BHJ0l+tEKNljxfeeF8Nbq8XWnb1sma9hc8n8fokGzZbtOrmZcdfMk/52x6Pksf9Zr4K0klJktNnwJeJGeMPwAefqADxwScB/j4mLxTJAgFVaB3ykC9iSmVSsrwgdpYZQqg87eB+Oj/MKlyt8IEAHDgkbfsBdB1Wfe/ipq6qgJoWLKWUrFxj0ra7l792y6D3j3nS4Ox+xS7avtpFh3YXHyosC5b+avHtQivIZKTxlVqW9nSKsmixeKlJvyE+EpOCGUJpq3iHIWhQT+PHb5xUrxZhau2Kdtg+aEODng3Tf/79gL1reIpP9cEUMhSuZSNAih/eWxb6upTBeasR38BDs2HVPthwSOW3un9ka4u+0zpNkgztGfdLk91WLm1sbFC0CEw6b8nlcirKVlyc4Jaeeq4GRrRxy90+5iww8XiV7MDhoxb97vYF5bL3HZC06uqjbB0P5et6aNbBx1X1Nf74RWmRzJnqpG7tyPPTOcGx43DrED9xFT0kVPFQr4WHFastPF4VqI/8bdFrkI+/dksMA2ZMdFKurEAA/oDqpO050MvsHAhGnTx1Xt/bZjWYBrdb5ZybNioc7JnscEMnjTKlRFAXqBCCpCQ1GWZ83gBvv2QwYphBkQTFhKlTU2PuVGfUP++Zs+EnTwC/D2641UfnPoo337SDl7kLlcaPnZmJ0wEP3RthCsQdDx88CpWLq5x5jAOqloBv7w1O+7oN+8UnKI56IUPhiS4Z8U9S+v8n++CR2VDhaSWR2/kDVZSYtSFYJz3VDzuPq99lwgzvdlIDPkzTJCUlhbFjx9KgQQNaN2rGoonTo6770rGdZts+HhsL/W/WMQxFF/x5rpNFs5z07p53j0HXYdQIg8NbXJzd72b25+nUxORkGDjUT8kaHi5v5KFSAy8LFtvfizNnlUnzfx/Q+fhdBw2vUEGie2eNNYtd1KoR+WBv01Lj95+ceI66OfCHi3sHRzYI/zkB19/ko1IDD/VbeanUwMuP5/W2R9ynHIfiYgUul1q1xbjhuZE53xUNGOpjyw6lrxMusEsJdWsVzuGTGXVqarbGJwkJgjo1RabXYMggI0ReOMYNz/w3ujvMLdslBw/LoJReGrxeybpNVhD/fd8BSd87/fS902fLoHE6Ff8+YtStAhseh2UPwfKHYd1IaHBZ8HsaV7YP3LHOi2tgzGMUPtqioUH7muk/D/ocVu9X6RiAdQdhyHT7bVCyD37+C3o0DHo5CR8tul7P+MdfZOTIkezcuZPUNPv4bVuUjOZH/dP/IJcNRqZlT9yRUhUSF37lpEVT7QIjo/U1Gp2vU7zfaGPKeAc9u6a7xPfsqtOulc6VbTw0b6JRrYrGxj+tC/K7WcHlUgEyI5NE1wUxbslbLxq8O8Fk3SaLf7Nw82reRGPhV84L11O5ouCNMQ6KFxO8+m5kBceTp+DkqeAbfO9gPaTb0OEQNGukUaI4OfITPXESGrf3cmV9wQNDDAb0CRWsEgK2/1U4mQ6ZsW2nZVvcPpcoQ+QGKl4m8PsJmQA0TQRx1aOFG2718eNsJ+XKqpS2YahU36SpAZ4Io6e+Zbt9/cfjkfz2ew6fiRBQI4u0q67BjDtUajclw/isXDwq3aPRRuEK6A5dbXceuU79vPM4rD2QHszTYFpg2Xy5nDqUKxL6+sbD7Pl1PZ1+6hT6O7+lcvY7jkNXosJ4WbzUst1Kejywa4/FgD7BQTE+TjCwr87bEwJsv0g9DztUqaR42hl5x7ouiI2RbF2lRmyMW+XNd+6StOvpzVKTpVoVYbuZMQxB1+t1WjXTcbmUYNgLr9sPxjFPGiHBIj5OMGqEwZsfBnIkH5ARmbXi0yBl+N9lhz+2SEaO9nPTDTouZ3obuccj2bzV4vcNl4YWwaIlFseOqyCYptHi80lO/6tMpDPi4GFp26NnmpKNm6M/ge0/KKnZ1EuzxoKSxQVr1lvZTr6Hj0pmfWvSu3v6JG6aipH13qQ8YCH9mwKZ1Tn3n4L/zoH3b4n++XKBwrFn1ASUiYe7W8CvI6BCMfX6npNqxZ4Zdh1doGbTgU3Tf/abSrC+24eKTZMV1uxX/61xWvHSu+0KcQePFMnJcMtdPpJTVDEvrUtv3KQAFSrY86uBHHdbZof6de15x263ID4OiiSoDsyEeEH9uoLnRmY9vx87Lm3btEGt4IoVVV19jz1o0KOr/WepXzdUXwTUo0trGLoYzJpn4rXpGNx/SHLs+EUfln/PQPNOKrUTCCjT4ykzTTr3LQRO9hHCNFVxe+ZcVWD2eCRzFpo07xwqR5ycDO9ODJCcHFosH/NG3lE2166XLFqSfTBPw10P+nnxzQBHj1kkJknmfa9y7Ll51mHx1s+h5jqeAHzzB5yz0VcoQBT8Cj3WAVVKwA8PhFrN1S5rL5jjMuDWRrB0F5xKVtsmQ4OPbg02i375B7X6zi6Y65qiKEURi5ZYVGrgodcNquNx0RKL3XslTzxs4PFI3Jm69QIBoiKfmhF7D0hbyVMppa335KC+BiOfCz9oz5yFmd+a9OmuB3XlZUZ8nODhew3mLQoNerv2WJQrE7oENAw4c+7iV7xjXg9wYyed8mWVFEFqqhKVGnRf7gPvnn2SrrdcOgHcDqdOw+33+bn9vuy3QE+OCXDsuGTkcINSJQR7D0hef9/P5q2FZ0dimmon+Oo7+dAXcDDMLGNoynth5gaYtk4VT/s3hjubg7NgQmvBBfSScdCsCnSqo+zi7PQSqpeCdjVh2a70GVIIFdAf7wRv3gzbj6nfNbwsVM/l09VZt/WmHS/GAR1qR+dzZcC/Z5QFXIniMPhWnfp1NXbvs2ybzExLmS9khbsG6jzxkEHpUmpr+vjzfv7YEn6Qbd+ptDtaNNFCJhA7ZJaQL1tG/ff4P+mv3fOwH48XBt2iI4RiFtituEuVtD/fs68GWDBDC5kQdAN+nuOi9Q3eixKqOnMWGl7r5ZabdFo319izT/LZDHuteCGgXm1BwFSppv9FCKE42olJF1fzHzfRpGRJwWMPGJQvK3j3ZSePD5d0vNl3QTwtJ9dyfVuNy6sINm2xd5Iq1GhS+bxpTubrlvDUfLW7T4szu0/Aom0w554C0VEvuJRLxWLwxWCldpaV+M3k2+CeVlA0RuXI29eExQ8oEwshVFtuo0qhwVxKSMpiVeU21HlrlILvhuVZx1ftmoLd69y8+KSDuwYaPDnCgderZEzTWpL/Pi7peLOX1Cx2b0//1+DdVxzUrK5RrKigYzuNFQtd2VIGewz0MfNbRU30B1Tud8v2UGZBRuu1urUFG5e72L/Rzf6NSpEvrXXe54N7RyhmTK2mHhKTQk6JxyP5dpH95LRshcXr7/tDmlsMXdCwvmBgn4t/Dl4vTP3K5N4Rfl4bZx/MWzbTOPSni99+cLHuJxe7fnfRoN6lQT+MFHcO0Dm23c0/O92c3uPmqUdyvm7r3kXjkfuUAUmxoiotV72qYN60yAsSmgaDbtE4vcfN/OlO3n7JwU9zXCyb57ygtVMg2F0C7fuaaJHWyB7vqGJFxgAd64D+TVWNL+OiMdWvaNS/7onuNUeIiPTQhRBdgHcBHfhYSvlqmPf1Br4Gmkop12V5zGjpoWeFju+rm5sZTSrBO33Utqh6GKPFKOmj/zLfSatrgvPGgYDkm/km4yaa+PySdRtllnI2MTFw4i93CIvDNCWzvzPpd3fWuxBNU96dXh8kJUGNywWrvnfhdqn0RGKS5NARScsuSn/6wCY3JYqnr7wtS3L6X6hyVajTTf/eOpPecRDjVu9XDSvwytsBnn7Zfju8YamLqxvaryUWLzXp3Cdv0hulSsLeDe6gGoYSioKKDTx4Lk3XsSD07anz6fvB0gVJyZKX3w7wytuRpyd+/MZJh7ahk2tyiuTqdt5sm8oMA3742kmbFlqI/ntqquSdjwI8OSb/ZRTKlYUJbzrp1lFDAEu2JTHUms+hyjZxIiN2HIeXvlcBvHxReKQ97DkFr/wAmWmXAhjZAUZ2DHq5UOihCyF04AMUB6Qe0F8IUc/mfQnAQ8Ca3F1uFDG2p+KLpsmLGprK04+9CeqWCx/MQRVGh69R/y6yOGoYakWYOSVhGIJuHXVWrlFMiezm1KqVhW1Hna4L+vTQGXZn+FXtfx/QObXbzZGtbg5scnP/XTq790qqXuXhoVF+xrzh5/Hn/SxfaTF/hpPZnztwu4PTKJomcLmgd/fQ88yYbTJ3YboRtRCqGeWhYQZ3DLC/rnJl7VfEUkrb1v2Lgd3TD9IAACAASURBVMOh7Mc+/8DBy88o1cSBffQQ9pGmCRwORef8X8DzT4Ta3MXHCUY+aOQoA1C8WHhdnKI2RLLMuO0WnWaNQoM5KOXEO/vnf7bXMFTHbLcOGg5Dma53qBfP6uo3496TTcd4nbIwdTDsfFbx1ns0VEQOt012IcYR9ZpcpIjkrjYDdksp9wIIIb4EegLbMr1vDDAWeCyqV5gbNKqkbv77y+HPo6pp4MG2ymg6EqQxXuCiaIyWpXLjdhRGbw4WoUf/ti9uggpIbzzvYO9+yeKlwcnSh+7Vg3jjLieMHe0gOQU+/9Lk0+kmzRoLlnzjwuVUjRmBgH33XmwMVKoQOjgNA27qFurCEx8nGPWwwWfTQ2eiFatN+vTQbcWW3smFNnga3G74db6L2jVVqsDnkwwfavD9T2YInxxUHaBcmVyfNmooWUJN4nv2Kd2cnMDuGYFqaouNJWKrwDnzTerVEkHSyWnIqm6ThgG99RDly4y4WCppbnBDJ42SxUWQGYZhCBKcOn1KVOMLcmjO26MhPD0/9HVdg15X5vJqLw6R5NArABn3I4fPv3YBQohGQCUp5YKsDiSEGCqEWCeEWMfJJPhkFfT/FB79Brb9neOLjwjVS8HbvZW59Nu91Yp96Ayo/AxUHw1PfqcakvIAlgVzFph4M3Ubpqaqgl0kuLqhYNpHTqSFbUcdKIeakcND5+YnH3GEDKr4OMHox9PfO/4NJwnx6W3hdisqUD6PazeEVtdiY5RktB3KlrY/1uixAVJSg0WipJQs+MFk+crcc53vHaxTt3Y6PdTpFMTFCjpfp5OYFHoPTRNWrCn4JiFdh4/fdXDoTzc/fePi6DY34141cuR3vm2n/ec4dTryYA4wblKAQ0flBfpimi7OsEf9EfUKZJW+klIyd2F0zb8jQa3qYTpmXQa1L7uIGSbBBXOHKmZdrFP9q1gMZt+jan4FgFzve4QQGvAWcEd275VSTgQmAgi3Q/LcQlVE0DX4agN8eEtIl2dUkeyDDu/BiaR0Lvtnq1WefdF9UatK16stePIRg6sbaOzcbXHgkKRcmXQWyYY/LJ4Jk1/OiCZXC5bNc13IT4O9rChAhfLBr2kalA5j13ZZOfVeXYer6ttrjmc8T2qqZOsO+27Sc4lw/IQMWRlalmTNevvgsm2npFVXL6+NdtCymcbZs5IX3www4bPoDPL+vUO7RtU1KePgWtW1C79PSpYsXmqyflPBMy9eGGVw682qESwt8Nw10ODI3zA2wi7akaMDLPwymEWUnCJ54vmcdWwlJkKj9l7uGqDTrZPOkaOS9z8OsOlPSdNGgkfuM6hSSfDjMotxEwMhlNuJUwLc0Mm+50BK+GRa/ufPt2wP0zFredls5nB1noYrK8DGx+GvfxRtsXaZAmG3pCHboqgQogUwWkrZ+fzPowCklK+c/7kosAdI4zuUA04DPbIqjApNyBDRm6JulaPKK43hz9eoLVJKphV5rBNm3w3Nqob+ze4SqjAaYcqlaSPBz3NVwdEwBKYp8Xjhief9pKTCn9sj7zD8+Vsn7Vtnfy98PsnEKSYPZtLA3rvRRbXKocu7jA7uyYfdtmmIpGTJiZMqv//5lyavvRcIu+rq2U1j2kfOkK69a2/wRixbG038NNfJddeG3rekZEmbG720aakxuJ+BPyCZNMVk8jQz2nI+F4Wz+90USQh9FsdPSMrVibxi27aVxqvPGtSrrXHgsOS5V/3MmR+dD9ivl84n49JNn1M9krNn4ap2niB6K8CxHW7bXVpKiqR+ay/7DkT+3ShWVE1uLZpqbN1h8dHngRxr8GsabN4oqHGZA5emvh8+aXLISqTu2Y/xE8UvgT8Ab/ysshDnPHB1JdZ++DVNmzbN/m+zQW5Non8HagohqgkhnMCtwLy0X0opz0opS0kpq0opqwKrySaYqz+0ec2UsDWPUi+gVuKZgzmoJcO26Dg0vPuySnOkpS50XW3377ndYPI0M0ft4o2vtH88mXWizyXBK++ErsD++6w/xM0mOUXy2HPp7508LRBSiExOkbzxfoDLG3mp3tjLC6+HD+YA3y606HqLj8VLTfYdsPhmvknzTgUTzAHGTw6QlKnT0bIkx09Ibr1ZZ9TDDqpWFmzdruiVhSGYaxrEx9n/rnjRnB1r+UqLFp19FK3qoWFrb9SCuWHAh68Hmz7HuAUlisOoh0M3+8+87Ccl0/fPNCV7D8gcBfOKlwl2rHHzwiiDPj10Hh9usGO1m6sb5mAlXOM01juLaB33EVN8WzgnvSRJHzN822l+bmr0gvmek9BrEpR7Ct74Cf5NVXFt3UHat2/Pzp07o3OeMIiUttgNeAdFW5wspXxJCPECsE5KOS/Te5cB/82WtihE6IljHEr1LCv2ycVi7X64aVKoLgwo5ssXg6FNFhTFCGmM3r/dQTKlabCkxCjtyZHb3vbVLurUDA3qqR7JqjUWFS4T/LjM5NV3AxwNMw9266jx4lMOqlcV7Nhl8eSLgaDUicsFX37spHN75WDkdsHX80zueMCfpVZ1Yce4Vw2GDDIIBFSqJSUVjv5tBXmk+nyqB6BOc2+hoCz+8YvL1gpu5VqT1l0LvlO1Ti3B2h9dttIVu/ZY1GoW3BGmaTB9ooPunXUkiiGTmgptumdPe8yIGR876NM9uPBuWZKNmyVNrj9/TinBPx+8U4EAOAeAsxcIXTHVuu6+aLZaxDiTAk1eU0HcBrquc/vttzN58uRcnSarFXpEAT0vIHRNBnVeaQLqlVMBPdrY/Q9c+469BICuqQlk5YjQVkk7vNcsy/TL8R1uythsM8+ekxSrlrOoMaCPzkdvBRc2pZT4/TBqjP+C80s0UKWSoMblKugfOZr+eqtrNLp31khKgelfm+zdX/C55khRtbLg2hYaJ05KkpJg0SxnSJE4MUkyfJTflo2TH2hQT1CvtsaOXRZFEgSLZjovpDMCAZWua9/Ty7qNBX/fy5aB/Rvdtl3Hv/1u0rKL/aRTv66gZTONv48rvZY0aem4OGhQV+P4iaxX7Gf2uW1dpPwBNaZSUoCk+8E3C0ir/MZBxWvglfuhWz41+Xz4C7y8OMvu9KuuuoqNG3NnjJFVQC+41v9ScXDWo7o/Lal4m18Mjv55/jgCXbMQ56pcHOYPiyyYQ7az/NvjAzz9aLCedHKKKijlFNO/NilTCl4b7cAwVLFSCIHTCc8/4WDvAcncBdHZKh44JDlwKHhQffq+gz49dGJj1ALo+ccNfvnNYshDfvbsK/gAkx32H5TsP6ie+7A7dVvF5YR4QZOrtHwP6DExMG+aklE2TbWuWP+HxXU3eRkxzKBBPY0Nmy1efjvAjr+ic6+rVBLExcKOXfKi0kzH/1FsoGtbaBdUG0HVJt78IPz3e8t2yZbtwfd3xH06Y5504PcrCuO6TcqsxE6cKzXVnvtuWeD3HIZzIyHwLcF53GQ4tRKK1QQuz9kHvVhsPZZlMNd1nauuuipPL6HgWv/LF1Xi8h/0g9lD4PfHgoW1ooVHv7FPs6ShRTWlKxMljB0XYPK0AKnn3cZTPZJpX5s89+rFVfU/m2FimqEGufFxgsfPUxVbXaOx4CsnO9e6+OwDBzUuz32VvWM7jT7dFZdY01TOVNMEbVtqbFruouEVl1a7/J590s7MiuRkyc5d+Z9Ef/VZg1bNFNumSIJytGrWSOOugQb97/FTv5WX2+/zRyWYV6kkWP+zi22/uVi92MXRrW46tb+4od/vbh/rNlmkpEjOnFVKoq+/F8iRK1S3jhpjRqlcfLGigtgYwTWNNWZ9ak8dnDgltM7j9UrmLkjCf6o5BOZhW5RL9Sp/hGjD41f2l+8th5V7080PGl6WpYyJ2+1m5MjodIuGQ8GlXPKj9d+0lMtRuM8Y54RJA6Bz3ciPuagGjLsmW8ZLsaJKP3z/QZml4UN2qF5NsHGZfd7ywCGLEU/7mTreeYHaGDhvvda8szdX2uqfjHNwR3/dlnZmWZKlKyw69Cr4vG6k0DRVk6haKZ1zb1mqcad6Y0+OG3hyi3CMlpRUSVzF6CX0hYA9G1xUukwE5aCTUyQNr/VedAqtZnVB+bKCP7ZYnD2Xs78Nx0JK9UhqNvUEpfxA0Qy//sxJhzYaAfP8s/xL0qnrSM4cHweEWRW7DHiqM/ynTc4uMCvsPgHdxoPXr0QBNaFustuAqyrAqv32CrFXVuC3CV/TvHnzXF9Cblkuly40oVI64dCiGnSMvsoiKPW/jZtzF8xBpQ38Nov7QEAF1ffHqpVOWuA1DKV1/sozubML8/nCz4OapnKilxIsC9rc6GXxMgufXwmVrVmvDK9zEszdbujTQ+Oe23Uur3rxuxQ7xx2wN6LPDdq0VN2RmRvGHAYRW//ZYdceyS+rch7MIbzuvc8HpUrY5Mr90HOgjyYdvNzzsJ/2Pb006+DlzMlFhA3moMb/zVFOcdw9DU6nKOG/gKVSud6ASh8v3xMazNvVhP3Pw8/DoxLMs8OlNSpzCiGUPrErU6lAE3DDFTD9jshz52lI03hJkwTIY5gmjHgymH7o80kSk+C9iQFK2GhuaJqg9TW5e7RTvjLxZCFje+ZM9Hd2pUvBhDcdHNvuZt9GF088bGBEscpz/B/o3t9HkSoeilXz0LKLL9uURskS6TLCTRsJjm5z88k4J2+/6GDLChdvv3RxF7j0Vyuk89eyJL/8Ft30T/kwujlOp6BKpYJJmy1aYm9Gomz9spaDnjnXTC8Qx5cLf5I4J0weCOXPJ9/9Joz/FVq8CY3HwovfK354TnDsHOw6EX6lY3vRx0J9HvIQBW9wkdcYcyMc+hdW7lOrdV8AOtVVZhj6RQa9rrujYlUXKaZ8ZXLwiOSJhwwqVxQsX2nxyjsBjp8IL+x1/ETuAu5vv1vsP6hofpnz96keeVEMm9KllGBWsSKCJcutIP/HuDhY95OLcmXSUiKCpx9VudVeg6Kb2olEb71qZcH0iQ6lCilh9z7JZeUExYsG34shgwx+XGax8MecBeIHn/CzZrELt1sSGyNISZX4fHD/Y9H1lV29zrLVAUpKlhcMtvMbr70XYGAfg2LFJG6XwLJUI9rDT/pDHJTCoutuqNoO3vo1uBBpaFD/Mlh4X/BC7o6psHx3+ns//FXpli8dHrkZRYgeegQ4kwonkpXcdz7gfz+gxzph5t2K8L/nhHJBqhKFAFzjtPpX83SeB3RQOuLLVoR+27+YZTKwb7CJcVKy5JVcOrmUKQ3Vq4YGcyklR49J3vwwZ8fv2E5jzhQnQlNphZHDYeGPJrcO8SMl3NZXp0RxEcThj4sVdGqncUUdwdYd+VfrMQxYsdBJ2dLpqYp6te07uuPjBEMGGSz8MWeTzu69klrNPNxzu0GTqzQ2braYOCXAiZPR+ATp2H9QMuVL9R1Jo2ympkoOH1XF+oyoXFHw5hiDztfpeDzKqPn51wKRB9kI8c8JaNjGw8PDDLpcr3P4qGLJ/LIqggmmxmllD9l1N9RwQfmblB6TaakUSNsaarGWMZhvPhIczEGlSQ79C/O3RJaW2XBIdZobGuTUgKVI/om//+8H9DRUL5U3DUsFjAef8BMbC71v1PH6VDAaOy7AFzNzR8OrVEH5kWY2IhBCtXvnZNfpcMDMyc4gKmd8HHTrqNO7u8nX8yyuba7ZqvOZFlzdUGPrjvyjFd7QSSMhPjjvnKb1bgc7wadIcOo0+WKhNuxRPyvXWvznbp2EeMHMuSZvjw/u/i1WFH7/yUWJYucVCOPh4WEGV9XXuOHW6Be/T5yEp14M/D/2zjs8qup545+zPSGhF6X3jlRRUWkCggooAnZRsYFYfzaw9658rdhQQVEUFVFBkCJFRUGl9y5IDyVt+/n9Mbtmy91kN9kUkPd59iFsufec3XvnzJl55x0eeDKB+ffbBP02hoc7L+sEg9vD1oNQORWqpkV/7o8YWufZbvhlS8EG/b1f4NHpsggEvXSTKthjd1jk2Pk18Ekyjk+D7vLCpKUw5S/5Mq85XWLmhRTNOdtSm9bmqqz3ZTDPu8NQtaC04HLBlTd5uK2Sh5onSf/HyCYUhcGGzdpQ4tTj0fz6e2Jb9TNPM8X0bq+5zMKUaW7WbxKKZ4pB0UokP764Ube2MgxTGImiZWVHe7plERMn+5g4OfY4r7/KQrnUcLXN1BRFtzNNtGymWBPCmLroAhN33GyhckXFNzN8vPSGt8jJfxDnwe02aJkX5pUb1IFYzdA0H/3jmhWMw6sOC9QtYHd9JBce+T66SbTZBBVsMatCsZmhb0t4/sL8j59kHH8G3euDC98R/fPgFuu3bXDFqfDswPw/uy8Tvl4BmbnQrQnlOjVmboVLaWGughmFFz9/+zLpmjmJDF0GasVDkHEIMg4lz/BlZsIr47zcfmNekVQw1vlsnMp/QeTnzQdv3vc+9nLPreGXo9stoYGFSU4UFoQlf2pD2YPcXE1A0wm7TTo9/brEz6dfln2DXhBO62gyVKj0+eCUVibWrJc5Pjbawl0jLP/upho3UFwxxEzbs10czSzcubt2MfHWi1aaNlK4PaIvdPfDXsl1GHnlieKcpiJ1m+MO96rNJvHw88MvW2XBiDToHp8sIiv+CQ/lpFhhaAehSyaxviVeHH8sl+lrROAr9EvO8cDE32Hbwdifm7MeOjwHj0+H52bDoHdpPmImrVUV0pWNVGWlvLLT2FyRN1MDraWScbGVYTzwpJc7H/SwcYufQ4c103/0c/q5iXOXf/7Nb1iZmJWl+SCgC797D/S80MWa9X5cLo3LrZm70E/3AYXoGF1ELF7qZ/FSf5iwlNMpolJtznLxzCteXn/PyyXD3fQd4j6mNW+CWLnWT64z+nc1mWDjFvnxqlSGe0ZZwkJjDoeielXFjcNkMVYK0tLi3wy3aq6Y/pmNls2ku1FqiuK6KyxMmKCFTfbqjKLdX0dz5f7/7mZpcGO3SJehepWloLGaQYgmFOl2YyFBpaB+FWHKtTxJuqJVTxND/tJFpWLM4XgoLNJaHkH64e1T4OMl0e9LtcGzA8RTj4TTA82fgMxw41GuXDkmTJjAoEGDwp53ax+OQy/l/c4JSuz+F9H9LBPfTpIYjs0q6qJTpvm45pZoVkfVKtLRKbOQHp8Rhgw0c9M1Zhx2SSSP/8SXb7LPZoP/u8XC9VeasVjgs698PPWyt9BeaFnHSTVg3WIH6Wl52vtOl2b5Kj+n95Ev6tyeJj57z0bFCtHWes4CaUX46L1WyqfDkaPwyLMe3hyf/2r30ZtWLr84uuNVrt9LoyPvsFsbdCGPB5v2w8jJkhAF6FgX3rpECPger1Slx7Pq+PzQ+inYFzGOFCt8fQOcWi/uIZVET9FjN+SSkQ33TIXvV4k8ZddG8NIgWXGt5miCv0lB5Rir5q9bDZ/Ozs42NOgmFArFv4LuJcx4ORbx0yI/dU9xMniAmUoVRSXyrxXGzsSBfDZShcHbL4vRSAtU27ZrY+KKIWa694/tXbvd0ug6kcbKxzL27JXCq3desdKxrQm/H776zsfIu/MW3D37tGFdgNerSXHAsw9Z/w3PVa0iGkQuN7z/cWyj3qqtH4vBQV14aWCuwG5PJny/Gj5dKo7bpR3hgtaYTWbuc5zOrY72pCs7P3l28H8581jvz4Asl+g3HcrNi/f9vh36vgnL7o+fpggSlvliOAx+X3b9CikmGtMnfmPu9UGuF13JuDlNMnFsGnS/Hy4YB1sOgCewl1+wGfq8AV9dD+MWRRt0m1liaUbH+nFdzDZ0kSbHp/385N2Bv0ylRo8NHDoM704o2fhE08aKK4eG0zrLpSratjLRv68pprhZtapw9hkmjhyVxaish1UqlIdR11vo39fEnn0wdpyXnxYllntYsVpzeh83NpvEziPnvHyVZss2TYumhPXldLmhSUMVxmICaY34yL0WY4MeSHQuqVSDNv6m2EzhVat2ZWGDLwNu+Ry+XZXXx2DhFpi2kvcnfcxge3PKKcle97M24MzytWh9ZDy7vlkiMe/Q6INfyz0+Yw0MDOmKdjBbwq1mk1SNlzdoHde6JqwaI/H0o07o0iC2cxgKlxce+g4+WQpeH43rfshbb71Fnz59Cv5sIXFsGvT5m2DX4TxjDvKD5XpgyQ545zLZbgWfr5gCn15rvDKP+gKmrTSkIKlyNgYOu5Qs7SZN2cjyu8nFy03Zs4ppYsWLpo0Vgy4wo7WEO44FxcSiolsXE9rArqWnKXp3Nxsa9Htvs/DofZZ/QzK5Tug9yMWqtWXz+6pQHv6ab+ekatLU2e/X9Opq4/7HPbz+XuIrUX6hqL5DXXz1kY22rUx4vGL0b7rLw2fvG1Pzgu0OwxCSe3reVIHLVUMs2oQp4L1maw8fuVZx4K+Ncm+G5cPc1FxxhKHW5qSovHOalAkHFu5wdOKebVOMG9k4PbAjRM7xkyVw71Qx5grZ6b99KZzfOvqzFnP+/RKMcOsXsrtwyvi3bNnCRRddxIIFC+jYsWNix4oTx6ZB33wgrydoKHLcUmp77emw4WEpBnBYpe9fcKtzJBcO5Ugz1x2H4JsV0RlsAIsJPaANo7r+w8/Zc+hoOYmVvv184lpDJseOKFUQo++w8ODdFixm2XU8fI+FB570MHZcGXc9i4gDGcYqiy6XZs++aAN99hkmHr7bEtbXMz1N88MXNuq0cSXEvy8p3HK95V9jDhIDL1cOnn3Eygef+gpsDp2WBulpxNXSbfceOONcN3VrKypVhNXrNF4vPPOQhUYNoo335tAEugH9cKv/CGce/YQXU3pwlrU2h7WTsc6lvORcIo6bgdBVy0ZNcbldpETwux3KwmmWk6FtbSm3j9x12y2SGAXhrd87Nfrev/EzWDG66EnN/VlStBSh9Jqbm8szzzzDlClTinb8GDg2DXrzGsa80lSrSFiCeOOnN8h7LcslK+bMtZKRtlthUNvY5f9nNYLXh5KLl/HulYx3r8x/TE0yYNNB2Fi5zMXRmzVRPHi3Jap36NMPWpk63c+2HWXQSiUJ38/y4/EI5TJUOdLrw1AD/eZrzaRE7LpNJim0OfM0E4sWl4F+dRHof25eF6ZQeDzQvk3sMZdPh/GvWbmgjxm/Xxa/G+/08MOcgue4Y6dmx868/9/9iIePx9nCqI85OZq7Hw541/kwwlb5DtA364vok1RwSD4swnnbvGMbdkv0jsCjfaz0HYC+LcRh23owrw+C3QJNqkuuDUT+1mdw3ZuQvNzVp+U7/wKx8zDYzVEGXWvN2rVri3bsfHBs0hbPbAgNq0YrKeZ4YMGmf7c4YbjpUzHmLq+871COsGGM+HRWs3j1iaBxBtz6O7xWRJpVMeCi881YjIT1FAzsd2xeAvHC7RY65N+7NJlZolGfcUgz5Fo3f++KvqErVlAxJINj9/wsbezZKwtWJKxWMdKx8NUEG+f3NmO3i3dfp5aJKR/aCqV1P/V7P5cMd7N8tZ+sbM2yVX4GX+vm200HhH5YGEG7gacYMlG2bt/GXNd2cnX4fe7CxyvOpRIe+WGk7NSrpYmOyo1nwrSb8thwTg+GWze/Nt6xJ4pGVQyb6pjNZk47rYiLRT4ovbt5zW7oPw4WFqI9lFLy45zVKPq171fDXV+FP7fnKMzbGN3owuUFVLSXbjXBNYX80htn5F3Axd3DME7kFyYoiyGEZGPlGk39di66XuDi3CEuajR3MmO2sRf6+VRfVINpEKrlot/KnncOMPZtL7kRdW4ej2b9Jh1TTbJRA8UZp5qi2snZbfB/Iwu3cf9+lp92XV2k13XSvpuLGdYN4uDc+nvh7oVKqfDJMPHU0+2BhwMmXMUQ93dMcK0mV3vxaj/Lvfvok/k5m/yBGHn5FHh6AKx7CNY8CI+eF6562LeVhGON0Lt54mONRPkUuO4MiRqEICUlhdGjRxf9+DFQegbd45es8WUfwHcFhDOMUN5hLH/p9MLUFeGv7cuMrYt+cnnoWEe2ZClWKROedG3BJcEJwGyGgeeZeOYhCzddY6Z8AsJrqalw0zVmpnxo46UnLTRplLj39OW3PkNnBA1fJ6mFXWmjTUvFvGk23HscHNzs4OmHLFHl+8tWan5bqv/taWmESVN84mVmiSH0ejXZOZrbx3jIKiQlurgx/2c/9z4iEsuHj8h4V67VXHBZ7KKsurWVYfLTYlGFusbC0DhDCoJenVF0p6ZrYzHKE4fBR1fD+oegZzNy8XJzzizSDr1C2qFXaHf0Q371/lPw8YJYuj08lKOQ+/+27tCgStHGHMTj58PD/aBORShno0+fPvzyyy80adIkOcc3QOkVFimVd+JaFWD56MS1Vto8Df8YdCdItcHCO6SSCyQ50uzx6H5/VhNc1RleuAj2ZkKuWyrIisoVDSk06tegKp+/ZyM1VWKxObkal0s4vwWxJiqUF8Gkk2so0sop3G5pdjH4Gndccc5Q3HGzmacftMqFGzjtnQ96ePvDYz8pWre2YuUiO2nl8opicnI0384UNcdEYbHA0AvNXHiemYMZmncmeGNy5ssSUlMlZn4gQ7N+Y/7jrVoFdqxwRGnnOJ2aV8Z5GfNEIcMOwdBKGdmdGmLyH3D31xJ6DcKs4OzG0vSmQRXRforlwRcSJVFYVDYMusUEmx+FtBhtXGJh+CfCUomcQpodNj0isfAgxs6Dl+bk/YhmJe9bcAfUTkIv07V7ZFE4pea/HNWLVnVlcpfTsEZUwfn9mtXrpAVYfnhijIW7b7FEbYv37tPUbOVMuNFv/bqKC88zoTV89Z3fMIZ8LOKVpyyMvM4SJr0LotverLPruJlnQbDZhKVjNsGCX/1haopGeOkJCzcOyyvl93o1h49C6zOd7N0XxwmDic7I58o6Oj0vCVMjKCQ0k+aAmSOTYxsC+O9UitoshZOYvLe38FQjFyWbOZpXfkcPaFgFxv4klKKzG8F9vYv+g+3LhEs/gA37ZAFxeeHWbnB/b/53ZkusZuOOQk0aSiec/G6cwf3NUcYcaMPacQAAIABJREFUxBNr2lgl3EB42w59XNIUO7Y1RRlzECXK5k3Uf8Kgdz8roDcf2IGZzHD5jW6+mxlY9b2/g2sKYAL7ULB04P8e8rJmveaukRYqV1LMmufjoae9BRvzgtQPyzr25NM3TyPt5XI9cPuXovdyDKH0DXqKFW7oUrjuQf8clth3ZCjF5YVvV4pOcigGnCKPZOLaj0UMzOsP64aS3q4BNS4vh9PpxOPxkJ4eHjhXFo2/3mHYVzHmoY9mGRsii5kyG88tDfy10s9pHaONut0mMsDHOyqUh28n2aL05Ce/Z6PxqU52b7kPnO8DAZfd9R447oTUB3j/Y1++pflROB4E6VqcJDUq+cGnYdFmsSWRLSzLMEovKWoKdMq+qrPoIhQGa/cYFxhlu2HV7viOsT0DPvsDZq8z7tYdir8PwQuzYfQ0ef/OQ7BsZ/QYctxkv/ojlwwdSoUKFahcuTJt27Zl6dKlgHBRl7OX/Vf9mu+N8fp70YwLr1ezco2fnf/kPd+5o2LIwKI1LT6WMXacD1dEgk9r0XP/eqKt6Em+Mo6L+xsn/E0mOKfLKnC+B+QA/sAjB5wvgS8BoxzK3jqWjTlIsrIEm06UJEpv6WlWHWaOKriBapYLDmQJ+ySydL9BVVk9Iw1xORs0qZb/cbUWwzzhd4nhm5T8yFNvlDZ1kZi+Gm78VIy3xydlwy1Pks8awL98F98u24XPLcmlFStW0KNHD9asWUN6rWpcnvUt9Ducb2/SiZN9NG+0F1/uJ/y9Yyddu/WgabOu9L7gPTg6i2o1WjJ75gs0qOfA7xfe8Vff+hh2iyfh+HosVK8mGiFnn2Fi3QbN2Le9+SbczGYYdYOZEddacDhgyjc+nnzJy2GD3HWysHW7plt/F2+/bKVTO2mbp5TCbIZTWsKC7+zUa+tMeiu1soIK5ZWhaJbNBru2fweGlc1+8MwA860Fn+B48MpDcUYDUUp88gdYvUfyaYdyRVkxCLOCsxrm753/vk0a6eR6pDNR72aJN51PMsqufK7HB/d/A5/+IeEYk5KY98iz897j9UHnF0XXJeglm5S0ovrz/vwXi2krRfgnVPNBIXTFP+4NZ7o4PdDsCVlcQhFc5SNDPkEjH+G522w2+t4xjB/ua4abiEVoRmOY0UT+/fc7WAiZg0B5Qbswmcvh97kBM+Dkhx9m0qNHd2whrYWyczSjn/Dw2jtFj5XXq6NYOtdOuVRIcSg8Ho3bAxdc5o4p/DTlQyt9zzH/WzHodEmTiidf9FKlsmLRbz5+/6N4rrlbrjfz3CPWqEYNRzM1193q5stvjw+KZiRaNVf89qM9at5Z2ZpWHZ5mx4bHgEi2TwqkPg2Om2IfOBgrv/X3pI+5xLDnKHywWBredKgj9SWRbeoO54gS4+6jkO0SllyaHWbdEjvH9sJs+N9PeSJgqTbo1QzGXxGTJfffSYoa4aHvYPKf4cVAz8wU3vhFbeX/FjPMGAl3fQmz18sXe2YjGHtxwZ7/B79GC/hoZDewZg+0Ojnv+SU7xNhHItcDLWvA1oy8foOOgIC+1yfJlRC43W6mrf4FMBD56bcp3FvfWBGyhgHZ/7J4/L6gKIeHihUr0r17tzBjDqIkOGq4JSkG/ekHLVQsn9eWzGqV1mzvvGKl6anRDJ2WzRT9zjGTGmJYHHZFo/rw1ktWTAo8Xgs/LfJz4VXJbwxRt7Yy7Lpjt0HtmvmHXVo1V3Q/y8TBDPhmho/cGJ3FShNtWirefNHKGaeacDnhg0k+7nnUw+p1momTfVw5JE8iODNLM/1HHzv2DgKeJNqga7Dl0x6t36YyVRxXKKzdIzK6bp/cn/M3wlsLYdao8P7CFVNh0Z0wa50UPDaomj9tcecheGVeuG3KcYsNmrUO9h6FRVuE/nh1Z6gVO0+WbJRNg+7ywsQl0SX8OR54cU6eQQcp6/3kGjGgfh2/1nEMuVxMKtrQW03GXUtAPPrXhopk785D0LMZdG8M/d+Ofm+KFU6tG3tMQfmAxhnwqYLvY3dTSElJwR8jrhK8qYuKPj2iGw8A1K2lqFJZmhyHonNHU9iuNQil8oSu7HbocZaJG642895EHyfXUBzI0EkxoBs3+9E6WnPaaoU/lhv/gEqJnsmQgebAggNvvmil9yAXfywrOwnVWjVh0fQ8rn1qKlx3hZmGDRTnDXUz4m4P3870ce3lFsxmmPi5V5QkzfUh9RXIuRPZ2QH4oNzbYDIILRY2vDJnvfTe3HpQhK3+7xwYVnwl7nHhrq/Cm9Y4veDywZhpMPm68PdazHBeK3kUhJ82GpM4ctwiMeLT8rfNDG8uhC+uC9eVKkaUTYN+1Bm7Jn1vDMqRoVhJPhjUVjzxyHCJUtE6LqfWE887MuSSaoMrO0O72jDu0vDXejaFuRvzFiWzkl3DVZ0LHlu/TWD3wCxvtGMVwO7du9m9ezcNGzYMe97t1kydnhzX90impmoV48Uhx8AA79ip45ISKFdOMfoOC08/ZMVmla/8w0k+bh/jybeKsyDcfpOxR6V1DBlXpJPR4AF5IaKgLtc3H5ctdcVRwy3YbITpzKSkKLp1MdG0sWLDJmkROP1HA0fFMQxs54HnB8AE1n5giqiELgoV8atlMGJyXohx1xExpnPWw4SrEztWsuDzy846ElqL3lNRkGoTx88IoQuI2yePEZPhz/uKds44UTaVmaqkimaDETrUSc45hp0uidmg1oIlwLp585JoL99skl1AeYfE1hxWee9lHUTZzQjjr4Q7usNJ6fK5C9vC3NtkexcPeligXnnjUE9wCsOGkZWVhcslVj87W7PvgOax5xOvjjTC/972kh3BsnE6NVNjhCTmLfSz/6DG4ynYCtY6WVGpgoRIUlMUwy4z8/KThfcvKlcSzrlRRxizWdGqufEXecPV5ii6H4heeoe2ZYcd0/4UEw579HjcbmjWOI5xmqqB/SqwXxFtzIPhlcJormgNY741ZpvNWANLtid2vGTBpGLLfRS1ArRPi8REkPZlSp6vBFA2DbrJBE9FUIuUEuP7UL/knCPFCvf3kXNZTICSZEksHYdOdWH1A/DKIHjifPjpDnj+otgyAT6/KELecCZ8dJUI5ycSS1MKJlwl29c0uywgKVZoWk1q061pLFr0F63bXszYt7L5+nsfY5700LKLi3374ztF86aKcS9b+elbG0+MsVA9ghj0+rs+PpniI9cpGiE5OZrFS/3ccIfxgqE1dOvvYvEffpwuTW6uxuONvvB9Po05ouCqXKpi+JUW7AkWCwdhsxn2KAGkMnddDGaOLUaqRWuiKnxLE0uX+XEaNHG22WBtIgVmjTMCYZVNeYa8KFTELLd0/TGCXwv5oDSgFAxpLxK2obBb4EqDvsKJIM0uzaGDgmEFwetPuoxALMTFclFK9QX+hwTh3tNaPxvx+l3A9YAX2A9cp7XOd2mOq0n0vA3wwhzYkQHta8PoPtDy5Pw/Ey92HYbTXgwPuSikbH/VmMT6DkZi0344/y2J2Tk9chG1PAm+vjFx/qvbK4mWfZlwWn1J1h7IgulHYF1r+LMfbE5cTKhnVxPTPrFhs0qy0+nUZOdAx54utv8dfk2cfBK0aWFi29+aDZs0SknD4EEXmMnK1nz4qY8Vq8M/U7WKxMtr11TMmmLHbBajnZmlcdjDW5gFkZOradTRyZ69CU8HgPW/22naKNxH0VqTnQ1VmzpxGSgtDL/SzNinrVFe+sEMTY3mzjLTeu7kk2Dtr+FNnHNyNbN/8jPwyjj5mMVBP/T5oc5D0UqmQdzRPXlOWKLIckkV97Kd4rR5/UJZnHh1cgys0wOf/wn3TZP7NBZMCsZdgr7h06KfkyJquSilzMAGoDewE1gCXKa1XhPynh7Ab1rrHKXUCKC71vqSfI8bj0EvCjw+WLxNkqWnN5ACot1H4JRa4vW+MBtenhutWZxml+7g8SRHYqHnq7Din/Btmd0Ct3WTXUEyYUR3jAOb/7TTsF648fN6NZO/9nHlzbFDNkrBFx9Y6dPDTHqawuvVuN1w32Ox251VqgiXDzZT6yTFgl/9jLreQr9epijd8f0HNSc1T1yjJoiuXRRzv7FjUpKIDV7b193m5sNJxge1WOCHL2x07mAiPU3hcmvQcPuYsidc1ryp4n9PW+l+pomcXHh3opcHn/Ia8usbN1S0bKZYv0mzXh/Mi483PABzN8Bv2+CkCpJLqhRnGDAWHvpOkn+RsJph3m1SmVmaWL1bnKxmNaQ5TjJx1AnNn4i9oAVR3oFr/5EoVlphUFSDfgbwqNb63MD/RwNorZ+J8f72wOta6zPzPW6kQT+cA6/NFz3z8g4RpL+4XeGUDxdvhSs/khU52GvUYpJV2eWFm86UStK5G6I/m2KFp/oXPkN/IEtUIA3E7alTSbqOJxsh6o7xdEuqWgX+XukwjMnuP6ip3jS2qtN5vU189p6N9AgmTa5TU/cUJwdiaB6dfYaJnmebOHhIs3K1n+8+s5OakudtZudoRt3r4cNPC29EH/w/C2PutER17/lnj5/arV107WKidQtJIM6e7/93vVUKrhpq5tVnrdjt0sxCa/jxJx+Dr/GUGS89Hths8MV4G726m/C4werQLMzYz0X2T8h15sJF74qBy3bLtW42wVc3iIR0YeH3iwTGd6vznrOY4JHzwutGjleM+ExCS/k1xkiz88f8X+jQoUORT1dUHnotIFT4YCeQn7UbDsyIMZAbgRsBaREVRKYLer4mRQDBle7Or2Sr9GT/OIYYgkwXXPJBNCMlmHEGePtn4yQOyJ18ev3EzhmKWIHcgl6L+Rk/LNgsdLBWJwnjJnKRC6U7zojQWjbw3LNzYp/uyJH8xzh4gDnKmIO0O+vVzcxnX4VbP5MJvvzISq+uZlJTwemSKd0xxkP/vmY6dzCx/W8/T7zoZfqPRSv8uXSQ2bAVW/l0xcqFdurWUVjMQk38Z4/m7PNdHDgoP/mI68yUSyWMptm7u5lRN/j53zEkaPbkfbvo1a0WqSkpAcqOomuNyrzo7sEtrz0oBTbBMGPw3+GfwF/3FV422mQSrfI9R+Hr5bIb7dtSqrv/C3jlYqE1T1spkQGj+9znp2LF4uejJ5W2qJS6EugEdDN6XWv9DvAOBDz0ICYtkRhxJFF//GK4pZsUE8WL71cVnIHOb3t0QRvj0v94UT1deheu2R3OXbdbYGj7mB8zxIEsOH8c7Dki3FaloPXJogCXarB1CxYnhT23MSokk5srxTMD+4arOWZnS2l/fsjOkdBMJD9da/HSI3HZxWZ6dctjkqQGeIHPPWLlpBbO/GmKoS50HDA6P4DDLiEIuz2Pmuiww1svWhlyrYfq1aBda1PUnMqlKm4aZjl2DLrnV64f1oHU4JccQIrJyjX21twy+Y9omi7AwSzYdKBguYyCcFJ5GJGAR77rsOzI/X7o10p6Efw7pmz4+HdZgE6pJYnMysXYA3DXYch0QuNqiVOgHVahLT8/EKYsEz5+mNa6CZpWj6IYFwfiYbnsAkL3Y7UDz4VBKdULeAAYoLXOX+g7EnM3GF9oNnPBqmiROOqM7X0XBJu58EJhoXjnUqiQkmd0y9mEInlHj8SOc8eXsO1gnpxnjhuW74JnZsX+TOOM8EcokyGEknbDHR5+XeonJ1cYLE6nZuLnPt58P3/j9cEkb5QQFojNnTk3+nu/5jJjWqDFAn3PMXHBuSY6tot43bMADjWAQ+XkceQM8O2MOkYk3hofLWbm80kS1x4RXrLZFAP7meU1m4q5eXIUknVT4nC+DVnnRhnzIOyYUeYYhkojdRIliY9/h1NfgMemw+M/QJeX4I0F8trmA9D5BXh+Nny9Ap77Uf6/+UDyx7HnqFSTnvoC9HkDmj8pTmFhUD5F+piO7CoOXLpdbEDjapKILQHE46EvAZoopRoghvxS4PLQNwTi5m8DfbXW8Ujjh6NuJbmgIrtw+/xSCZoIujXOl7udL6xm8TKKiuYnwbLR8M1y+PuwcOd7NUtMItjthR/XRS9OLq+oQz5xQfzHigzJzGhMZib0HOimSSNF/TqKlWv9+bJLqlaROHO9Ooop03wMvdCM1xNwohX0v9xt2FAhVoLT4YApH9jIdYqg17a/NX0udrFn1yrI7EfY9sa3HI50hErbQBkbLJBS+G5nmhg8QLrY+/1SAl+xgqKcQd5PmSRa8Pcuze49mkYNorv3TJ56DHjnlT6EHfeD9jJ//nx69eqFKUQkyu/382vmNvQVHeHx/dHOU80KyWu7Fg92H4X7voneKT89U/p53v8NHAkpLnR6JVx63zcwZXjyxqE1DHlfehl4/eBCcgs3fQYzbwmX/4gXSgkb78Yz4a+/oVq6NL0pahe0OFGgQddae5VSo4CZCG1xvNZ6tVLqcWCp1noa8AKQBnwRKOzYobUeEPcohneBj36Lft6voW3NuA8DSLjkik7w6Z/RJfyhMKnwWFeqFe7smRzt4/1Zcuwr46gKjQW/ji03UJDMbyxE6sVsqszGzZqNBWiGd2qvmPO1HYsFUlOEerh1u+aVt7xkHNbMmO2PWbo//hMfXTqborx0qxVMSv3LO2/eWAz8WWfehvHEM8H1uVQ9xoDWMGykh2fGeulyqondezWz5vmZ+JaVwQPMYVRJn0/z0yL/vwnPK2528+OXdixmqcDMzNLs2q155pUkdIBPNkKLf5pkwLynwSOb4ttuu43FixfjcDhwOBw4nU7cbje3ZM+Ga88QvZFft4nDYLeIE/PhlSVmcABRLjWC1y9O0KLN0WFTv4aFSVZ7XPkPbMuIdprcXnj3Zxg7uPDHrlIOeiWh2XSCiMt6aa2nA9Mjnns45O9eRRpFul0MbKSHblIwYy0MaJPY8Z67UL7McYtg4eboJEWqVbZFczdIxr9aGtzZo+jaE5v2i8Tu2j1ygzSsCu9eVjjalsMqzIMl28Ptm8UE/VoWfowG3npBmPSOjfLpeTd8epqiQT0Rw3pvYv6Ly+dTfQzsZ2JAXzNWq1Q2pqQQVVhktSo6tDWh9NqY6xjepUBsgx7Eug2adRvyxnXXQx7OPsNEhfIy9qwsTa4Tbrorz1P9bammyalOrr3cQoN6igW/+PniG19SJHdr11Rcc7mZOjUVP/7kY+p0P14vnNZJUb2qYvFSP/vjiSYEyvMt523mokr1ObdCbf5xe3mkxYF/v7P169fTokULRo4cSadOnVi+egWvL/+BXRc0kN3r5Ovkmvp9O9QoLyJURvmY4kSs+JYOODE2g6Y1ELvys7DYc9R41+zTsONQcs9VQigb8rmT/4R7vjYWzLqkg5TjFxajPpe+o8EkhcMCjarB7FFFKx6KRK4H2j4DGTkhyTwklr5sdHwVZZHYsE/iey6vHD/VBhVTYPatiYeijBBKd4x8PoC6tRVrF9tJNWCPbN7qp3Gn+NIlHdspep4tTZfvv91Ck0bRN1JmlqZq9da4c9cYHAFIfQMc18Z1vkikpEjj5w6nKFav00z60lciXZ/O6Wbim49tmM2iPBnc3aSmQo1qCr9fqIYvvu7l4Wfy2Q0EioIc/bYxv/yltDBXJV3ZcGkv53Trwc8LF8X+bJpdrkWLCT4fHi6fsT9L+u3OWit89BFnw4WnFK/HvvOQFPVF0vxSrPDjKHjnZ2nk7ApxFuwWuKwjvDQoeePYlwntno0O/TisMLo3jDLkdhQax3eT6FCDPnOtqJRlRhgHi0k4448nEC+OhN8Pn/8F438Vo3hxOynHL0heN1F8uUwEiSLpkiDbr6f6SylyojicIwvehn1SLTuoXfI9qkgvPcRzr5y+gPaNX2Lnzh1069aNMWPGUK9ePQDWbvDT8ozE8t8Azz5s4fabLVE8+P0HNY3afEvm7gsxDLuoRlBhJpgSDMOVEkwm2L3WQfWq4fP0+0XELHSXkpWtueImN9NmRGz/I0SzbrN34OnUbpRTeZWOixcvpuc555Cbkw8fNYjKqbDmQQm1HMqBM1+GjGzwBM6bapN77sG+hZ53gVj1D7w0V7RegvbHYpbCu/t6yz005H15n8kk93CbWvDyIJi5RkKp57ZMjq7To9Ph/RApbZtZ4t6L7pAkZxLx39FD79FELrBIWM1wRRF1F0wmuLSjPIoTOw9Hy/0GcTAb7vwSct1wdYJhnYqpcNNZRR9ffogsBe+3SQz6wzvJ2DKaOdvFUGzevJnJkyfz559/UuOkBrwzIfH4crMmivR08HrBicZhz2ucsfRPP3u39OftcW9yzz234o3kNOptkHU1lJ9dqGkGbUOR4F0Brg9AHwbbALD2B2V8G7VukScbHD6OaO83rZzi1hssTJsRsks10CS/3NYyzJgDnH766bz42lhuueGmgmsd3D74eQt0bwLv/QJHcvOMOYhhe3OhFAQVhiZ4JFeM9dQVoqMy7DS5fq1mqdoePklUGEGeU8g9Puy0vCrONLv0OVi2UxyZptVhw14451UJh/j88MZC2b2/GNBTOpAlO/w6FRPrGvRIP0lajlsEh3OlQvy2bkk35iWFsmHQbRapVhs6Xi4ohfxorwwqGic8FvZmiufbqGrinNNYaF9btoXeGEHXXA88PUvkc5O1nc1ywbq9En6pE6OzSmHRez2MfArpRSnwer1kZmbywAOPcOW1H/L6u4klZy/ub+KjN/P0Y1wuzZGjms+n+nC6NNddYSHFobjjjpt5//03WLUqkj7mA+8f4N9rrOUdA5dcZOb5Ry3UqaXYfwAee97Dm+MLkVh2vg859yJ0CD+4vwNLJ0j/1tCou9yxVVaNUKlC4M3B/p0Gmis5GC+iDRrUx1TOjj8zdpUvIPdW0Budv9G4utFuEemK7k2iX8sPTg/0fl167waL+J78Ad79Be7tJTzvOesj9JOUJDufMeBQtKstj8M5edpIQeR6ZOfdvYkcf8l2iYfbLBKWzHaJ9tED5+ZvQ5SSXe+gdonNtYyibBh0gDY1RRRr6Q654E6rn/zQwoEsuO4TOYcl8OO/Mgj6J5h0NcLZjYTmtGJX7BLgjByJ5Scj3PP6fHj2R/4tfexUV1Qd85HnPc/akDvtnahqSmG+529c2ku6yc4Pnq1859mMPzTMsfMweKN3HH6/ny+nzeGzLXugfuDJOOQGbDb44HVbWEchu13h92tWrPbzyH3hreOys2Mo+GEGHUdoIYALzzfx/qt5x65eDZ5/1IrZDK8lsiD5D0POPUCowcyWRK37K7APjfrI+o3Sfq9Jo3Cv3KgJR67Tz5RfMuG2v/LVJB/nWsaplpNIU3nXkF/7qXNqq5gNT8Lg8cGZgQKXOpXht+3RXr3HJ7LPiWLqCkk0hspeePxyLd3zNXg1UR1QtJYq6B0Z0izGCHM3BByviPsq1y21GpnOAKHCJ4b+SIByNX0NzN8Ec24VLvh/AGVLPtdsEkPeo2nxZN4v/UBEiVxe2Z4dyhHx+eVRdVLxY/dRKZL4/C+pFuvfJnaRRnl7nv56UTBjjRRb5HrkYnZ65ca8flLMj4xxnM7ktAH0stWnnaUGtzk6cnfKaYxwtOfjchcwJ/0SrJjkmA9/L1IMMWifnhqpecVKt/0Gr84oUEf79I4mQy54SoriiiFmKkbQ/wcNGmQsZKQqgql+vucKxVMPRPcYLVdO8fA9Cf4O3kWA0Weywf1lzI8NvMrNvgNw5KgmO1uTk6uZ/7Of7ByNN2Dcsj1edriyeaPK/AI1yT93r+Nj12pytYcsv5sjfhf7dS5DvTPEOUmx5l1/JpW3RQg2QX+yvyTqAW4+K5qmazVJ6KN5IZhZi7fG7gTm8kUb8yCUMtY+CiK/+o0sVzQ7Lgitxeg/X7gQ3bGIsuOhFzfW7ZHwhFGhzrhForCYKN5cKFtKcyA46/TKTWM1gy/Cm0i1SluuZIRbXp8fXloM4lX9slXCSREMmErKwYMpZ5ASEntVSv1bf5VustGJk7jK1orxA0dJp5dY8gipVnj4jOhwQJMMibu/apwj6NBOxZx6eppi6TI/p3fKC3+NGTOGL7/8kj179+HMzUGMqRXS3k3oO6xf1/i9FSsI8yXu1ncq1s5HgYpdjLZ+o6ZOGyd9zzFxUnXFwsV+1uuDnHLtP9wyKJ3aFW1879nMh75V5PSOrzHJiJwfedG5hLMttdmvc5np2YoXP1zcHlrVhAm/wb4s6UJvNcMPayUMcVVn2QkH0eZkuSb/N0+8dK9fdnrjr4jzS4lA/SqyQBSkPBiJSqnhPT4j0aOp8WJgNctClV9luE+XXpONUsB/x6DvyZQLIJLf6tfwdyEa4a7ZDU/NjL54o1raIRfs3edI9VgysC8G385iEsZChEHvaK6BS/vCDHokvvr4M76+927YG6M7hjWgJ53jgXumivbFzWflGddQfnsoAowZn08cJiNbvHGLn2fGepnztQmHXQSyypevxOLfVnBG9w/YumkumBuC/XowN4g5ByNs3KJp2yr6pAczssjNGAu2S8Fcu+ADWc4GZYsm39hscF8LaGaoRwdIoOC74H8COf4V/TZxE0AhqZOb/YfZ7DbogtO8BjwdEY82ig//tROu+DDgUWu5Tv93MQwpghrg5Z1Ekjpe4pPdItfsu5flv0iXd8A7l8ENnwbya1piC1ecalyQGIlYoZyCsOofqU79fbuESa/uDA/0TU7xYTGh7I4s2WhT09hzcFige9PEjpXpChjzAjwquyWPz5pMXm+PJhJzjPRMzCZDT2efzsGiYm9bP/roI0aOHElOfrQ3nz/PmB3IkjLtLBfcE1FTZuS5NznI0r9bkeusGhV2cbk1k6b4+f0PTefeLsbcYaFdGxPLV/t5dqyVrXtvgPQbYo+rANz/mIcpH9qi4vMPjLkTcj+G3Geg3AdgL6CwWVkhfSpkDgDlAYsP8MB9PaDz3/DOZ8LpPq+VMJkKU3dQUshxw6B3RfcoFHd+BV0aFr5LffV0aeJy82eiQZQf48asYMRZcONZ8dVUnNcKVoyG71ZJGKVXc4mLr98Li7bE/lyKFf5XK1mKAAAeHElEQVSvZ+Jz2XlIhPGCNORMl9Abt2Xk9UldvFXYNrsOS3J2xNlSpFiKKBs89ETg9IhM5V875Qcd0i5+itETM+CdX/Jiw1aTULN+vit+kf8f18F1H0vMryARMIV45gU1tTiUA0/9AN+sFMrV0PbymVjJ091HodtYuSGDMgApVnj+QvGSDLC8/LW0MFfGqqJZPbVr12bXrnzyCArjavxyNtj0SHwFWjMaM7tLD86oVZ7UQMWf0+Nj8yEn7d9eiidRaeGNVcL580G+tgHOb1KF53o1pEllBzt37OChhx5k0qSQfIPVIUk7W4w+tqHwesD5EzTbCmc1kqK1x2bk7cwcFjGIc24ru0b9q2VivCNrJmwWuPcckcAoCrQW7/aaj0XLyChcUikV1j+UmL6REY7miqCWkbNWKQWeHQCDC7HrePBbeO/XaJkNhwV++T/4ZYvsVIO/u80CFRyw4A5Z2Azw3+Ghx4sDWUKLOpgtW0WzgjHT5AK8rVvBidQH+0LrmhL7PpQD57YQBcR4jfnhHBHyNypLNkKKFc5plv973F449w0pNQ5ePO//Cr9ulao5I8/+5PKw8E5Rp5u/UQzIqK7iXcVA38wv+Cb9IlqZq+JHUw4rudqL1+8r2JjHgl/Dgez4dK/7beI8tnK391SGm0/BionPvGt50vornlsKWV8f7NYE+bZW+z7w4MIJItcaCYeGtp8noL1RAWgnXluoMQfJo+w6DB8tTnqlYdKQkSOc8Ei4vbA/FruoAHh94mBUSBEj3aYWLLkHJv0B904N1wlPscKTFxTdmLu9sGyXUBNfmptXZODT8NQFEpIp7DmW7zLWTLJZJB83elr47+72in34309SRFhKOLYM+hM/SBs5T8gPh4aX5sC3K2HWqPwpgUrBRW3lURhMXxM/sTjVJporneoWcMzVQvUKvXhcXimoWLgZusbQWqmRDo+fH99YgN06i85HJ9LQVJHKysF6Xwa9rPWobErBfHIFfLuPGH+wU13ZjRgxgcwKqsZffOLGx9POxTztXBz3Z/JFqP57PN3qYzEwvL7C3fjLdsouLzKx6vQKE6msGvSzGmG4UpezQc8Euedaw8vz4NWfxKil2uD+3lKNbTKJjvnp9aXl4+/bpV7irp6Jc9wjsWgzXD0hb5Hwa3HO2tWSlpNFZcmdUkvIAZFG3e2VeRltKD1+mL2uVA162aItFoTvVoVXtQXh1xKzmxBHgqQocHpiU6/a14YXLoSBp0D/1pLEefvSgmPny3cZGxq3T7atScYW/2GW+vaQiZuvPRt537UC35g+0c2rU6ww7hL44RbxpiJfT7XCrd2Tq4dTGAR13+PB4Rg5AqcXusROtlZTqZxtqU1tU8RWulKKcKuNULV0Y6n5onkNGBwhIZFqhY51oWeC+aTXF8DYuRK+cfuk2vLxGfDpUnlda9FMqVVRWDYD2sD7v4iI3cLNhRv/kVy47EOR2M10ySPbLQnZFicnh/JsROl0WOT7aXVybMVTjx+mrci/aXQx4tjy0PPzopxeia0n0jElUfRqJg1xI5Ea6EN6Wn247ozEjtmwqlyAkZxvuwXqlZBG9eWdZGl/+kf457B4UQ/1zWNHdGkIE66CB7+DDfvFK7+jh2h+JBH1TRV4JKULPS312O3P4lnnb0z1GMfFC4UtMRqemgP8e3v4oqWAN1J7c429DS7txa4s/ODZwuVZ3+HEKzd2rQrSeCFSijlZjKbiwtiL4ZymMOF34Yhf2gGGdkisbF5rEfaKpNDmeMQjv6SDlPrPXp9XAR66/s1YDTefLSGTRPDdKuNQoN8v+YFbuiZ2PCPUqQTf35zHckm1yYL0UIDl0rmeNKGPNOy7DsOtX8j7vx8h93cJ4tgy6Jd2hLcXxU5GFrV7eUGoW1kM2f9+krCIX8sPd+Ep8gMXBhe2zYvDBhPUZpMkWPqUoJ7ypZ3kEQs9m8EvBeQDioC6pvL8WX4Y6cqGRZmoay7PRMv5PJyziFdcS5NzkirlopkdINQ5A6/uLvupXG1vTYqykBIo7e9rbcDY1J7cnDNLdl9fDBchqX+OyO/m8cFD/fKqMcsqZq6F52bD9gxpblEtzVhPKT94fOIlG2FPpoQo56zPc1YiNzM5HskDDesMtROQrgglA4TCFdghJAuta4pRNsL4K+CqCdJRLcjhB/k3yy1zG/4JzLs9eeOJA8dWyOXa02NToVKtcH0C3nFGtlSN/hMjdhwL9/SCaTeJJz6sM3wyDF4dXHhaYrodfhgJneqIYbGYxBjMGJn4DXYM4wHH6aQpaxi9Mk3ZeDz1LBzJ8jtu6xZdqeuwyg7FIHR0u6NjlBBWirJytb015qCLWKcS/Pp/MH2ESC+sfah0vHOfX+LYrZ6COg/B0PelkM4I366UquJ1e8WRWLNHJDFiNZ6IBZsldkI8zS4GLVbeIgizScrzE0G3xsa79VRb4iGjwiLVJvk0s8nYwfRrWL9PCv1KEKXnoW/LkOz31Z1lJYwHHy4OVGUarM4d6oiQT0Hw++GB76QgIVjV1rsZjLssOk4cCx3qJEe6M4jG1SRWneWShSHZ0r6J4kAWHMqFBpWTJ15WALpa6xhSKv1a08RciZW+GAVPieCqzrKAv75AFk63Dwa2kXJ4A1Q0GdMYLZiwYyGHQKhBqfiv4eLC3V/DF3/lMS/mboDf3oCFd0QX1jw6PZqpleuBR6YL3zsRPHE+3PJ5+PFMSuiE8fT29frg4yXCXIu3EXTLk0WKesqyPO8/1SYh0dPrJzb+wuK1+eKdx9JtCsKITVSMKD0eulIas5JV/rmB8cnknvOq0JSMYDNDObs0rqifT+z5nUXClgmN+9ktEj8ce3FikyguaC0X6+vz5ULv1kSYA8lWVIzE4RxJVi3aEhAvM0v3p4uLX4luZtoQ+tiiE5NO7aXu4XHsT0CQq0BkuSTUcHL5fA3Id2kX08/aAFNEUdZa30FaHnk/eeMpKvZnSXOVSC621SRFTs9fmPec1lD1fuPjmBTsfzbx8/+4TgrNtmVA7YrSuSs/bRYjOCyyW5p5S3xCWlpL2GjSUtmdXNIBLmidWA6gKGj/bMFdjZpUg8V3//vfkuChl27IxadlZb/vG+PGEJGoXyV2aMPtk+z3gwZJy1C8uTA6iePywud/5p+Z1lq8+jZPQ/X7ocvLebrOycazP8JdX8Kq3VJE9MWf0ON/8ndx4uqJsGBziHhZLtw+pUS0MJ51/ka2Dv9dcrWXGZ4tyTXmIOGAVicX6A3enTOPTO3BrcU4ebWPLO1mRPas5I6nqNi4z7gc3eMXLzIUSsWuzCxsg/TezSVWvPUxyTHFChUGb91Ua7SAndMr8fh7p4Y/r7XM4ctl4SEkpaBvS6na/OQaGHBKyRlziC0IBrI4pduF6VbCKBsxdIspPqMxqpt8WbHg1zBvQ/7HOBQjaeLz5799emuhVI/9c0R+zPV7YdhEWJDkxrVHc6PFt3xaEi1vLEjuuUKxPQP+MODdOj3Fe94A5nl3MCJ7Fhn+XLK0G6f28q17E1dmfV/s546Fdf4MTjn6AeOcy/jdu5uJ7jWcdnQi871/F/zhkkS9ysaVkmaV1zQiFPf2is4lpFjhvqK1BgZEesJo128xSThn5Wh47wpjHrfWQmUMfv5wjhQSDnxHuoH1eg0u+yBx8a/iwMVtpYFHJCqnwmPnw7L7hctewigbLBdNfHHj9rWF233XV1KhaARHAXHwLg1kixh5QdWpFLtU2+eHF+ZEe/a5HinZ7zqq4LHHi7V7JQwVubh4fPBzIXm78WDPUbAanFdTYg1zJ7pXM8m9hvqmChzUuRzWibe3SzZ2+I9ye+6c6OKhUPj9JesdRqJWRYkfz1kf/vvZLcbFTcNOk+vpudkiv1zeAaP7wJWdiz6WdrVF8XH5zrywi0Ji3C8NEjZNzYrimEXeT8ExB3fhd30tTdxDwzcLNksh4ZgEqY7Jxl3nCB1ze4bsZoMqq1NvlN1fKaFseOhp9oIrKoM4vzWsfVDiZZFdwO2WgmPxj54n57MGph7UiQ62sjLC4dzYXsHGJCTrQlGzgnHoRynxxIoLLWpIo4xI2MzCKigh+NBs9h8uPmPu8xt7kIlCa/hgMbR4AqqNlhj21OVFO6a/CGN7+zKh9dot4pk3rQ6TrzP20JWSSs6ND8OWx2DDw4nXT+SHL4ZL0tIWkLc9o4GwtkKFq4Z2iPZw7WYpeAK5B6avjo7FOz3CnS9tbN4vFamd6kix1GPnw/L7xZhPWwE9X4XWT+UJlZUQSi8pajZpUm1iTL+6XjLXieCoU1rWrQ40kvX55Qv++OqCvfQdGZKlXroDmlQXOlt+LAWvDxo/Ft3EGmTXMPvWxMZeEAa/J30fQy/mFCt8cxN0TCK7JhIvzBbqW9BzsphEm2PRnTEFh44ZzN8E938jkgrpdqEW3te78Fof7/0Cj3wf7hGnWMWwnp8gU2TZTmGpLNsp1+6Vp4rjUdB1bASfX66beBlbxQmt5RHcvezLlARuw6oyzqHjYeU/4lb6tXj2U4aLw5XjhvqPGFdmp9th2+MlOpUwvDZfGswEa1HK2SSP8N7l8Op8eHF23j1kUjKf+bej2xUi4WyA/JKipWfQ61fRvHSRtG4rCjVu+S5ZLVucJI/iwth5stUL3SY6rHBJe9idKcUZ15+RnMqwo04Y9bmEhswmYe+8eGFyWuUVhGkrhNZ3IFsqCe/sGc413p8FH/wKf+6UBgnXdRG2SFnGXzuh/7hwal1KgH8eygCJF1pDvYeNOdZNqwsvPV5sOwhdx4Yfy2GRpg4fD4vvGD6/XCvzN0nC85KOJfebaC2GLTRUEolMF9z8KczbKGEJrWFMH6kSXbZT+NpNq4tzFIqer0ZrCJmV3AfvF7IJR1Gx+yh0fC56x55qE4M+/JNoSqjFBFd0Qn+YHGmSsqm2WDFFLtqiom0teRQnst3iMQRj234t9Kxsl7Sey/VICGfCbzDpmtiCWvGivEOy90dy5VGrYtGV6eLFgFPkYYTNB6DP6zJfl1eUHt/5RYpqSitueCALdh2RhTRWDuSF2bJVD0WuBz5ZAg+em3iH96krYhfMbE+wWcpbi6JDbE6vJPe3ZxQcZnN54aJ3Rfcn2y2G9aU5wvwo6nVYED5ZIh27DmTLTu7eXnBDl2jDfstkMeYub54hfGqmsNb6tjSuH5kbUmEalAxIsYo3XJAo3YEs2YnVrZRYBWo8mLdBDHTkZj3HDZP/ML5PvX7pJlYCKBtJ0bIMnx8GvA1r9+RdjI5AQVKmM0+cyeOXx6jPYfnowleO7j4qSnLlHdLIokKCxqY4MXqaUMuCuzq3Tx53fy0x0pKE0yOaGd+vllitxw8jz5JkWeR3v36vMavCYpbFIFGD/tKc2K/VTzDPseofY8E5mwW2HCjYoH+0WBqTB73C4DV6/STJNRWXI/DFX0I3Dp73UI70GzApuL5L3vsysmX3EBkLz/GIhEbfltHHnrk23NPVyHEvbAO395Dnff7oufn9co1OXJJXNNitsXjzyepRnGI1vrfNSqQlYol21S3mGpIAThj0gjB3g/B8Q7dYTi+4soyNxMEc6XJeNQ1+2iiJxm5xGubnf4SxP4kHoJR4/VOuj68CtiSwcJNx0m7JDuMbrDgxepokzUK9vnGLhK10dURf09Y1Yfuh6LF7/YXz4PJj/UR2cCoI7WvDH39HGwKXVwpTCsLnfxnr87u8UsdQXLvXZ2dFnzcoyhVq0A/mSJjFqNBoT4y6ioe/N24V+fVK+GqFXGc2s4Rp1uwRCubVp8k9Nmlp+DWxYJM0onhjaOHnGorezY3vAZtFEst7jsKcDeH2IsUqC1EJoGywXMoy/vrbeHsdK/Xg90vcr/kTMOIzuG0KtHxStqf5YdFmSbYEi3qyXMKZv2R8bMnekkZKDC8nyGbIcYvH/PVy8cxCcShHPMkjSRBPcnlh8p/RFMscj3yHkbjnHEiJ8F2C2j+JdhXSgXCbEdLtIiWQCIxkWm0WaHmSxP53FBDCscS4hf06j8lVHNgVQwPpYHZ4uXv9ysYLvVlJ/swIWw4YP+8MhPpy3MI8+3273Cf7siTv8/TMaCqk0ysKjMnirqfZJRxaziZ/l7PJ7/foeZLDG3eZ9EGwW+Qaq5QKrwwqMbG2Ex56QahV0Vje1maRmzvUs7KYoFM9GDk5ehG49xuR141V1vzRb8a8XKdXZDpLQ73vnyPSYi3HI3o3V54qWtaRXOeh7aUg5KoJec97fSIpfOWp4iFN/jMQGvGJpsrT/aVU/HCuxN8Tabyb444t0nbQoD6hdU346gYY862wKiqlCD97xFnxnxMkgTl0vOzAIpFiFepaonz02pVEnG30NOlR6dOyq/trp7RwMyk4tR5MvFq29EH4/PDMLOPGIyDvLU6SQMMqksyMxMkVwkkOVrPo6YeGZyyBRH+s3Uz19NjeeyxE5khCoZE+pMlq7ty9iYiwzVkvC0WPJnn69+VsEuI5misOWe0SzH9R2j1FP7kGHv5OYmw2M1x+qlDJygLlKogsF7R7RgxP8KtSSoxC7+aSILOZxcDUrQzXnS7iR5EG3WISeuQDfY3P03+cceIk3Q7vXi7nKm64vFLIUSFFYrsjP5dFy+uTBWxIe9FLX7RVvD+vX5oivHsZdHo+es4pVtHYmPxn+BbaYYGKqeKtWwLdX14YCEM7xjdOrYX3HeklKuR7+vTaonwLsc/Z6XkJt0QuJjUrwCP9YHD7op1j8PuwYGN0WblJiTxzqJTrkz9IiCkyNOGw5FFcizNRPWutKDRGMofGDjLu4Tl/E/xvnuiFn9UI7uwRO9z14WLpO2Dk4OQHiym8mXkQ9SvD0nuT26g9UWzczyWv/M3PP/9M7dq1GTNmDP37F66zUdmkLZ5SS7MvUzLSwQvYYREP95sbS2VMMbFur4hWbdovN3blVPFEmtUQLXSnVxodtK8NE38XT9AornlDF3h2YPhze47CpR9I4s4ozphiFW+guBsOf/En3D1VjKLHJ8Y98tJItQmLp0a6fCdNqokXGKvpsMUUOF4cIaMUq8gSx6tiGUycOT0yTrOSkNDMkdC8GDzTpTtg0LvRi5ZSstC9dUnRjn8kV8J0sUStHFb49S5xGjw+aPho9K4RxCP87e7CcdgTxY/rRMt/ywFJ+o05V4psigqtpe/BC3Pk+3ZYxcMuSL3RYRFv2O2T78ikxCv/eFjRW94VBZv2wzmvYcrx4A/0PU1NTeXFF19kxIgYeuv5oGzSFjNyhCUS6o04vaInsmxnXiLQ64NvV4mGc6VU2a6XdJKweQ3p5r1uD1z4rnjrezJlu/vNCrmZg4aoR1PjmLfVJLG1SFw1QRg0kRerCemg89zA4jfmy3aKQS6o+XWuWwz/q0MkIfXv8x7jEEg88qlBOD2ihDkuTkGjc1tImfUr82DLfnEE7uxRfB1iDuUY95MNtlgDYSi9+7PkXVqdLMVLkdK1sZDryd+DtJqkgXPdylKnEEuWNdNVMsYcZDdUHDtHpYSjfuOZMp80u7S1G7/YeBED2SW3rimNJ95YIPH1JtXh1q6JFy0mG8/9CDlu/CH3SE5ODqNHj2b48OHYbMmTyy49g57jNt5SKSXb/na1ZZW9+D2JJ+a45Yaa/KckIEIz6SWFiUvEmAfj5v6AWuRdX4nwkNkkLItTasLSCAEnvxZPpluIp7DtIKzZbWz4Tq4gpdvFGQcN4p2f408aGRm17k2MF7FUm7Sri0cLRgPLE+yh2qmuNBgpCXSqa0xJS7HCeS2F93zuG7IwuX3w61YpUf/mpuiCGSPUSJdioG0xkqA+LfIMIOG+NLs4RZFoXcrGK5kwmfLYYY+eB21qilrq4VxxoNbtke/dZJLq3JcHCQX16QGlO+5I/Lbd0OHx+Xzs2LGDxo2TVy8QV7ReKdVXKbVeKbVJKRUlpqyUsiulJgde/00pVb/AgzosxsqJijwv65sVecYc8gzoI9/HbvhbnJi1NkbrK69sq0A8pzV7ot/j01IWHIpDubGrZCumlowxB0l+xkoyhiLFCkMM4qO1KsLd58jrQYNfLtBw4PUh4dzd/MKY2aUvxhUTlVLh3t7hKoUpVlnAL+skSpyZzryQiccv4YK7v47v+EoJtc4of5RilRh9kEttMsHD/Ywbez8UI0dzrEMpyVHMvQ3+vE+qMhfdJRIAfz8hCo6J1hOUFGoZd3XyeDxUqxYHNTUBFOihK6XMwBtAb2AnsEQpNU1rvSbkbcOBQ1rrxkqpS4HngPyDilXKyQUfypiwmiUWF+w68u1K4y2W1SwJxES7qxQVFVMBA6Edrz/Pk3B6Y8dBIxUiW9TAkP9ot0DfFkUZaWLo01xixEYhF4dFFiOzScJdXaKbUABwV0+pTPx0qRznorYiHWAySdHRy3MltFSvMvy0Ia8gKxTJYiEUF27vLjvHd38WWmb/NsJ/TrVJUxCjNXH5LnEC4mkneHoD+OUuCRnM3SD3R/MacFv36BjwVZ3lenxulizILU8Wo39qIXvbHqtIVsFQceKunnDtx2H3l8PhYPDgwVSoEKOFXyERzx3UGdiktd4CoJT6DBgIhBr0gcCjgb+nAK8rpZTOL+NqNsGMEXDrFLnoTQrObQ6vXJznzZVPkb8jD6MpnR9yxFnS8CE0VGQ1yXY82BygnE1YD0Zhhg4RW2+HFZ4ZKKL+weSewwJV0mDE2cU2jShcdRq896skaIOhl1QbXHca1Kksi2rv5gXvGDrVNVbNbFMTPrhS/vb5JfkXGS6wmkpGq6ao6NbYWH2ynM04bGUzRzdzyA91K0uXqHjQv7U8TqBso3dzeKo/FR+fi8fjwefzMWTIEN5+++2kn6pAlotSajDQV2t9feD/VwGnaa1HhbxnVeA9OwP/3xx4z4GIY90IBCksrYFVyZrIMYiqQIwKiv8ETsz/vzv///Lcoejzr6e1NozVlOgeV2v9DvAOgFJqaSzqzX8BJ+Z/Yv7/1fn/l+cOxTv/eJKiu4BQcnDtwHOG71FKWYAKGAabT+AETuAETqC4EI9BXwI0UUo1UErZgEuBaRHvmQYE+WODgbn5xs9P4ARO4AROIOkoMOSitfYqpUYBMwEzMF5rvVop9TiwVGs9DXgfmKiU2gRkIEa/ILxThHEfDzgx//82/svz/y/PHYpx/qVW+n8CJ3ACJ3ACycUJ+dwTOIETOIHjBCcM+gmcwAmcwHGCYjfoxSIbcAwhjvnfpZRao5RaoZSao5Q6bkr9Cpp7yPsuVkpppdRxRWWLZ/5KqaGB33+1UmpSSY+xOBHHtV9XKTVPKfVX4Po/rzTGWRxQSo1XSu0L1OgYva6UUq8GvpsVSikDTY1CQGtdbA8kiboZaAjYgOVAy4j3jATGBf6+FJhcnGMqyUec8+8BpAb+HnG8zD+euQfelw4sABYDnUp73CX82zcB/gIqBf5fvbTHXcLzfwcYEfi7JbCttMedxPl3BToAq2K8fh4wA1E3Oh34LRnnLW4P/V/ZAK21GwjKBoRiIPBR4O8pwDlKlaYSfVJR4Py11vO01sE6+MUIz/94QDy/PcATiPaPsyQHVwKIZ/43AG9orQ8BaK0NWgAds4hn/hoIaGZQAUhQbrPsQmu9AGH8xcJAYIIWLAYqKqWKLJVZ3Aa9FhCqI7sz8Jzhe7TWXuAIUKWYx1VSiGf+oRiOrNrHAwqce2CbWUdr/X1JDqyEEM9v3xRoqpT6WSm1WCl1PEklxjP/R4ErlVI7genArSUztDKBRG1DXCjj8nb/HSilrgQ6Ad1KeywlAaWUCXgZuKaUh1KasCBhl+7IzmyBUqqN1tqgaelxicuAD7XWLymlzkBqWVprrctIV/RjD8Xtof/XZQPimT9KqV7AA8AArXUZFgVPCAXNPR0RaPtJKbUNiSNOO44So/H89juBaVprj9Z6K7ABMfDHA+KZ/3DgcwCt9a+AAxGu+i8gLtuQKIrboP/XZQMKnL9Sqj3wNmLMj6cYar5z11of0VpX1VrX11rXR/IHA7TWS0tnuElHPNf+VMQ7RylVFQnBbCnJQRYj4pn/DuAcAKVUC8Sg7y/RUZYepgFXB9gupwNHtNa7i3zUEsj2nod4HpuBBwLPPY7cvCA/4hfAJuB3oGFpZ6hLeP6zgb3AssBjWmmPuaTmHvHenziOWC5x/vYKCTutAVYCl5b2mEt4/i35//bt3YRhIAqA4FbnRpyoIdegSpwLVISKcOJADlyAQPCYqeB+LBzc1bvzBcxWPe4e84VzX6uj+nTexJ7VUi1/e//6rc1+1dn39R9gCD9FAYYQdIAhBB1gCEEHGELQAYYQdIAhBB1giC+S9n4uxyQ+1gAAAABJRU5ErkJggg==\n", 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\n", "text/plain": [ "
" ] }, "metadata": { - "needs_background": "light", - "tags": [] + "needs_background": "light" }, "output_type": "display_data" } @@ -888,7 +866,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 18, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -901,16 +879,16 @@ "name": "stdout", "output_type": "stream", "text": [ - "--2021-01-14 20:47:17-- https://raw.githubusercontent.com/violatingcp/MIT_8.S50/main/Lecture2/sn_z_mu_dmu_plow_union2.1.txt\n", - "Resolving raw.githubusercontent.com (raw.githubusercontent.com)... 151.101.0.133, 151.101.64.133, 151.101.128.133, ...\n", - "Connecting to raw.githubusercontent.com (raw.githubusercontent.com)|151.101.0.133|:443... connected.\n", + "--2022-01-28 11:38:44-- https://raw.githubusercontent.com/violatingcp/MIT_8.S50/main/Lecture2/sn_z_mu_dmu_plow_union2.1.txt\n", + "Resolving raw.githubusercontent.com (raw.githubusercontent.com)... 185.199.111.133, 185.199.109.133, 185.199.110.133, ...\n", + "Connecting to raw.githubusercontent.com (raw.githubusercontent.com)|185.199.111.133|:443... connected.\n", "HTTP request sent, awaiting response... 200 OK\n", "Length: 33742 (33K) [text/plain]\n", - "Saving to: ‘sn_z_mu_dmu_plow_union2.1.txt.3’\n", + "Saving to: ‘sn_z_mu_dmu_plow_union2.1.txt’\n", "\n", - "sn_z_mu_dmu_plow_un 100%[===================>] 32.95K --.-KB/s in 0.004s \n", + "sn_z_mu_dmu_plow_un 100%[===================>] 32.95K --.-KB/s in 0.002s \n", "\n", - "2021-01-14 20:47:17 (8.62 MB/s) - ‘sn_z_mu_dmu_plow_union2.1.txt.3’ saved [33742/33742]\n", + "2022-01-28 11:38:45 (20.2 MB/s) - ‘sn_z_mu_dmu_plow_union2.1.txt’ saved [33742/33742]\n", "\n" ] } @@ -931,7 +909,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 19, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -947,22 +925,19 @@ "" ] }, - "execution_count": 227, - "metadata": { - "tags": [] - }, + "execution_count": 19, + "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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XF5GJgkx93AvgtwA8LyL25OQfqOpfRBcW1YOdjLPZLEQE27dvd7rVeftwfPrTn8aBAwcwODhY8H3Dw8NVjZL97lVNYmXLU2oGQao+TquqqGqvqvblv5ikm4g9gj1+/LiTjFUV58+fdxbhUqkUcv9zlbO6uuok0PXMBa81suW8MlEx7kzc4NyVEU8++WRBMgYKzx1829tuVGVms1ls2bIFQLhzwZxXJirGRN2kgtZBu0ewq6ur2L59O3bs2OEkbHeydLcbjcViuHTpEoBwFwe5e5CoGE94aTKVjkC9pXLd3d1IJpPo7u6GZVk4ceKEkyzd9dDt7e0FnxXmXDDnlYkKcUS9wXlHsHYy9qvKsLvhtbe3c7RLVEMcURvMHrFGvaBWyQhWRNDR0VF0ramLfqbGRVQJJmoKnMzS6XRNFveYXIkKMVHXWDWj5CDfa/eBjsfjyGQya57avRYmSSLzMFHXSNgjUb+k7d4sYqt2A4oXEzlR7XEx0WDurdSpVMq3a52bd/cgwE0jRM2AibrO1qp3dm9EGRoacnpvlGrcf/LkyaLXotg0Uk2vaiKqHBO1oYKckuJln9bd3t4OEWEZHVGTYKKukbW60gHFo+RUKoWTJ086W6kBYG5uDm+99RauXbtWMmnH43HE43GoKq5fv+4kaY6CiRoXE3UNuKcxpqamcO7cuZItPCcnJzEzM4Pe3l4Aua3b169fRzabdU7jnp2dLWoFalkWrly5gqWlJQC5kbi3HSkRNR5WfdSAexrD3ZXumWeegWVZBaPkVCqFxcVFdHV1Od9//fr1gvtls1m89NJLAG5UdQAoqvgAbrQjDZNdAlhp6R8RrQ8TdQ24+2nYVlZWcPz4cSe5Tk9PO6NjVcXCwgJeeOGFsvd2V3V4kzRQ2I40DGH2niaiYJioa8Dup/HGG2/gwoULUFW0tbUBQMGC4aFDh7CwsOC8FuTIK3dVh/eXgX1fux1pGPz6RTNRE0WLiboC1ewqtPtpuLvSAcDjjz/uXHPhwoWCBcRS7BNYTp065STK3t5enD17Ftls1pkucbcjDUMUB9MSUWlcTKxQqTpmoHx1hbsr3eDgYEGPZ1UtGhG3tLSgpaWl6D6qiu7u7qLudvF44e9ebzvSarFfNFHtMVHXmTsJiwhUteD9bDaL2267zfd7vWV6lmVhaWnJGU23trY6yTSsA2OB0gfTElH4mKhDVGqbt98ZgWNjY7h27Zrz3G/aQ1WRyWTQ0dFR9J539OxN3LFYrODw2ZmZGecMRCJqHEzUFfCW0vnJZDKBRq6pVAof+9jHyn5mLBZDMpnEwYMHC6ZJ7M9ys+e97e/bv38/AB4YS9TomKgDskely8vLmJqa8t1IYk89lBq5ukfW7qOtgFwpnduePXtw+vRpTExMAIBTKQIAnZ2dBYkZyM0fd3R0oKWlBXv37nXuzwNjiRobE3VA3k0rhw8fLkrEb7zxhvM4yMh1ZmbGeey3YOg9dSUej5c8CsueSlldXcXrr7+Oo0ePAgh/AdBvGoeIosNEHVAqlXJO5gZyi3zeXtAXLlxwnq+uruLzn//8mvezLAsLCwsF13u5N8Gk02n09fWteRSWfY3N+4uCC4BEjYuJOqDBwUG8/e1vd563t7fj5MmTBbXV7oqN1tbWosU+29jYGKampooqPLxEpCDZptNpDA0Noa+vz/d6TnEQNScm6grs3LkTiUSi6MRuoPAEl1gshpaWFly7dm3NeepySRrITYdUkmxZ40zUnLgzsULxeByXL1/GkSNHCl4fHBxEIpHAlStXsHfvXqdp0r333ovnnnuuoN2oZVm+NdNeDz74YMWnfVdyojgRNQaOqNdhcXERp0+fxvj4uG8p3uXLl53Hqorjx487z+3OczfffHPRfd1VHbFYDB//+McjiJ6IGg1H1BWwR7NdXV1O32f7qKxjx445faDn5+d9v9/dec69MAkAHR0dOHjwICzLwtTUFDo7O9c1KmY1BlHz4Yi6QmNjY1haWiqYtshmszh16pTz3P2eiDgjY2+JX2trK0QEsVgMBw8eRDqdRjKZxKZNm7Bt27ZQdxCypI6ocTFRB+ButOSexrDFYjEcOnTIqbhob2/H7bffjtbWVmzfvr3gPvY1nZ2duOuuu/Dud7+7oGf00aNHcfXqVW73JiIHEzVuJOJUKoXNmzeXrLRw10rbYrEYDhw4UFBxkUgkcP36dec0F/s0FPc1ExMTRaNcbvcmIi/OUa9h8+bNAHLzze6jp9wjZFsmk0EqlSpoov/AAw84DZrcDfbt7eBrYb9nIvLiiBq5HtOnT5/27Xzn7TzX39/vew/7aC336Hw9m09YC01EXhxRIzciXl1dhWVZaG1txblz53D16lWsrKzgvvvuK5iKuHTpEhKJBJaWlrBp0yZcuXLFuc+3vvUt3HHHHQBuJFz7NJdKEm65UTcRbSxNMaIud6pKKXYVh82eV15ZWQGAgmOs7JHxwMAAksmkk5SBXHVHd3d3wb3ZX4OIwtBUI+qgZxq6k/q5c+fK3nfTpk3o7u52RsbpdNq5RyKRQCaTQU9Pj9PmNJPJsFqDiEJTNlGLyJMAPgRgTlXfEX1IlbMX++zt02G7cuUKzp8/jyNHjji/BLyd84aGhgrOOxweHsa+ffsiiYeINpYgI+qvAPiPAIoLiA3g3u0Xi8XQ29tb8nr7uKzFxUUAwIEDB3D+/Pmyn1PqZBd3SZ1tZWUFDzzwQFFPECKiSpWdo1bV7wO4XO66enEnyWw2i1dffXXNaYdUKoXx8XEsLCxgdXXVWUD0a9rvZ617uys8bCytI6KwhLaYKCIjIjIuIuMXL14M67ZleZPkm2++WbSjz15stOeQ3Vu8Z2ZmikbDa/G7N1BYUnf77beztI6IQhVaolbVUVUdUNWBrVu3hnXbsuwkedNNNzmvXb161XdB0X1UllfQUfVauwXtCo+dO3ey0oOIQmVc1UfQyg23ZDKJW2+9FW+++SaA3JZu97SDZVl48cUXcf369TXvEYvFio7DisfjRSd9rzWlYcfL6Q4iCltD1VGvVS+dTqcxMTGBjo4OACgYXduLjaWS9Lve9S5873vfK2iq9NBDD+Gxxx4rakf6pS99qeRomV3qiChsZRO1iHwNwBiAfSLyuoj8dpQBWZbl24y/HPsEbiC3SSWVSmFsbAzvfe97y85Bf+ELXyiYZ3722Wdx7NgxjIyMFPX2cG+AISKqhSBVHx9V1R2q2qqqu1T1T6IKpr+/H5OTk2u2+CyVxL2jWHsu2TsiBoBdu3Y5j/v6+pwRst9OQvduw87OTk5tEFHNGTX14a5T9i7aeZsjeZO1XwKdn593Rtluq6urSCaTeM973lPQV8Nv2mJiYgJ9fX2s5CCiujFqMTEevxGOvWhnJ+DXXnutqE+zO2nah8u6+3Z88Ytf9P2c+++/H8eOHQscFw+MJaJ6MmZEPTY25pzcLSLOop1lWfjBD35QsHtQVXHy5MmC70+lUrh69WrBa94qDiD3C6DSQ2O5QEhE9WTMiNqdCFUVly5dKtgeDuQOgN2xY0dBTw97xG1ZVtGiYVtbm9MFDwBaW1uLRuJERKYzJlG755hFxDkxxZ18V1ZWMDc3h7m5OaysrGDnzp3o6upCJpPBwsJCwf1uuukmPP300/jUpz61rp7QRESmMCZRu6kqnn/++aLpjWw2WzAHvVYzpba2Njz99NOBjr4iIjKdMXPU3jngw4cPr/teDz74IEfPRNQ0jEnU3vK6bDZbsjfHWjo7OyteLCQiMpmRUx9ArklSuT7Ru3btwiOPPIJLly7hqaeeQiaT4Vw0ETUdYxL1o48+WvB8y5YtuHDhQsnveeSRRzAyMgIAbNBPRE3LmKmP2dnZguelknQsFsMTTzzhJGkiomZmTKIO2kOjpaUFn/vc55ikiWjDMCZRb968OdB1POKKiDYaYxJ1KpUq6HTnPYNwy5YtbIxERBuSMYuJg4ODeO6553D8eO6w8/7+fnzyk59ENptFZ2cnvv3tbzNBE9GGJO6DXsMyMDCg4+PjVd+nv7+f27+JaEMQkTOqOuD3njEjaj/c/k1EZNAcNRER+WOiJiIyHBM1EZHhmKiJiAzHRE1EZDgmaiIiwzFRExEZjomaiMhwTNRERIaLZAu5iFwE8GroN67cLQB+Xu8g1mBqbKbGBZgbm6lxAYxtPeoV162qutXvjUgStSlEZHytvfP1ZmpspsYFmBubqXEBjG09TIyLUx9ERIZjoiYiMlyzJ+rRegdQgqmxmRoXYG5spsYFMLb1MC6upp6jJiJqBs0+oiYianhM1EREhmvYRC0iHxSRvxWRl0XkMz7vt4vIn+bf/6GI7M6//n4ROSMiz+f/+T5D4rpbRCbzX1Mi8o/CjKua2Fzv94jIooj8nglxichuEbnq+rk9HmZc1cSWf69XRMZE5MX837eOesclIh9z/bwmRSQrIn1hxVVlbK0i8tX8z+qsiBwJM64qY2sTkafysU2JSCrs2EpS1Yb7AtAC4BUAtwFoAzAF4E7PNZ8C8Hj+8UcA/Gn+cT+AnfnH7wDwM0Pi2gQgnn+8A8Cc/bzesbne/waAPwPweybEBWA3gBcM/XsWBzAN4J3551sAtNQ7Ls81BwC8YtDP7DcAfN3138NPAOw2JLbDAJ7KP94G4AyAWFR/97xfjTqivhvAy6r6Y1VdAfB1APd7rrkfwFfzj78BYFhERFUnVHU2//qLADpFpN2AuK6oaib/egeAsFd51x0bAIjIrwOYQe5nZkxcEasmtl8BMK2qUwCgqpdUddWAuNw+mv/eMFUTmwJIiEgcQCeAFQALhsR2J4DvAoCqzgGYB1CzTTGNmqjfBuCnruev51/zvSafAC3kRjVuhwD8SFWXTYhLRA6KyIsAngfwkCtx1zU2EekC8PsA/k2I8VQdV/69PSIyISLfE5F3GRTbHQBURP6XiPxIRB42JC63fwrgayHGVW1s3wCwBOA8gNcA/DtVvWxIbFMAPiwicRHZA+CXAfxiiLGVZPQp5FESkbsA/FvkRj5GUNUfArhLRPYD+KqI/E9VvVbvuAB8FsB/UNXF2gxkAzsPoEdVL4nILwP4HyJyl6qGOQpbrziAIQB/D8AVAM+IyBlVfaa+YeWIyEEAV1T1hXrH4nI3gFUAOwHcBOCvReSvVPXH9Q0LAPAkgP0AxpHrY/R/kIu1Jhp1RP0zFP4225V/zfea/P9KJQFcyj/fBeCbAD6uqq+YEpdNVc8CWERuDt2E2A4CeFREfgLgdwH8gYh8ut5xqeqyql4CAFU9g9z84x0hxVVVbMiN1r6vqj9X1SsA/gLALxkQl+0jCH80XW1svwHgO6p6PT+98BzCnV6o5u9aRlX/uar2qer9ADYDOBdibKXVajI8zC/kRis/BrAHNxYF7vJccxiFiwIn848356//x4bFtQc3FhNvBTAL4BYTYvNc81mEu5hYzc9sK/ILdMgtEP0MwM2GxHYTgB8hv0gM4K8A/Fq948o/j+V/VrcZ9t/A7+PGgl0CwN8A6DUktk0AEvnH70ful3CoP7uSsdfyw0L+C/GryP1GewXAv86/9scAPpx/3IFchcLLAP6v/ZcSwB8iNw826fraZkBcv4XcQt1k/j/wXzflZ+a5x2cRYqKu8md2yPMzu8+knxmA38zH9wKARw2KKwXgB2H/rEL499mVf/1F5JL0vzIott0A/hbAWeR+6d4a1c/P74tbyImIDNeoc9RERBsGEzURkeGYqImIDMdETURkOCZqIiLDMVETERmOiZqIyHD/H10uSZuqqCzJAAAAAElFTkSuQmCC\n", + "image/png": 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\n", 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" ] }, "metadata": { - "needs_background": "light", - "tags": [] + "needs_background": "light" }, "output_type": "display_data" } @@ -996,7 +971,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 20, "metadata": { "id": "NhytzkBUY6O4" }, @@ -1017,7 +992,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 21, "metadata": { "id": "GmygCMsubLuv" }, @@ -1052,7 +1027,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 22, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -1066,32 +1041,29 @@ "name": "stderr", "output_type": "stream", "text": [ - "/usr/local/lib/python3.6/dist-packages/torch/nn/functional.py:1639: UserWarning: nn.functional.sigmoid is deprecated. Use torch.sigmoid instead.\n", + "/home/juliush/miniconda3/envs/8.s05/lib/python3.9/site-packages/torch/nn/functional.py:1806: UserWarning: nn.functional.sigmoid is deprecated. Use torch.sigmoid instead.\n", " warnings.warn(\"nn.functional.sigmoid is deprecated. Use torch.sigmoid instead.\")\n" ] }, { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 230, - "metadata": { - "tags": [] - }, + "execution_count": 22, + "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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HojkoFg5SVx4bdplD+jjsdy6eT3c8ySVLHmdt694RTCgiuUiF7iMn1ldw1+IzSKYci5Y8wbo2lbpIIVGh+8yMsWXctXg+zjk+fNvT7Njb63UkERklKnQfmlZbxs1XNLJ9T4/2ShUpICp0n5o76Tj++/2n0vTKLv7t189pKjyRAqAdi3zsHafU88qOfVx//xomV5XwL+e9zutIIjKCVOg+94kFx7O+vYsbHnqJqpIIV5zZ4HUkERkhwxpyMbOFZrbGzNaa2eeGuP5DZtZmZisyXx/JflQ5GmbG1999MufNquNLS1/gNs2cJOJbhy10MwsCNwLnA7OAS81s1hCL/tI5NzvzdUuWc8oxiIQC3PiBubx1Vh1f/v0qfvx3lbqIHw1nDX0esNY597Jzrg+4C7hoZGNJtkVCAW68bC4LTxzLV+9dxc2PvqwPSkV8ZjiFPh7YNOD85sxlg73XzJ4zs7vNbOJQN2Rmi82sycya2trajiKuHItwMMD3PzCHC04ey9fua+bjP1tGa2eP17FEJEuytdni74EG59wpwAPAT4dayDm3xDnX6JxrrKmpydJdy5EIBwPcsGgOnzv/BB5e08Zbv/Mov31mi9bWRXxgOIW+BRi4xj0hc9l+zrkdzrn+XRJvAU7LTjwZCaFggI+/6Xju+9TZTKku4dO/XMEVtz3NP9a1q9hF8thwCv1pYLqZTTGzCLAIWDpwATMbN+DshUBz9iLKSJlWW8rdHz+TL7x9Jiu3dPCBm59k4Xf/xp1PbaS7T3uXiuSbYR0+18wuAL4LBIFbnXNfM7OvAE3OuaVm9v9IF3kC2Alc7Zxbfajb1OFzc0tPPMnSZ7dy22MbaG7ZQ2VxmMtOn8TlZzRo0gyRHKLjocuwOed4av1Obn1sPX9etZ1QwHjnKfV84pxpTKst9TqeSME7VKFrT1E5gJlx+tQqTp9axSs7urjtsQ38qmkT9z7fwr++bQZXvmEKgYB5HVNEhqCDc8lBTa4q4T8uPJFHPruAN06v5j//0MylNz/Bpp37vI4mIkNQocth1ZbFuPnyRr558Sm8sHUPC7/7KH9+YZvXsURkEBW6DIuZ8f7Gifzx2rOZVlfGJ36+XKUukmNU6HJEJo4p5o6r5nHS+Aqu+cVyHli13etIIpKhQpcjVh4Lc/tV85hVX8Enfr6Mh5pV6iK5QIUuR6U8Fub2K+cxc1w5V/9sOY+tbfc6kkjBU6HLUasoCnPHlaczpbqEq3+2jHVte72OJFLQVOhyTCqKw9xyRSPhYICrfvI0u7r6vI4kUrBU6HLMJo4pZsnlp7G1o4eP/2wZfYmU15FECpIKXbLitMlj+OZ7T+HJ9Tv5wm+f11EbRTygXf8la941Zzwvt+3lhr+spaYsymffdoLXkUQKigpdsuqfz3sdbXt7ufHhdRRHQlxzzjSvI4kUDBW6ZJWZ8Z/vOpmeeIrr719DLBzkqrOmeB1LpCCo0CXrggHj+otPoSee5Kv3riIWDnDZ6ZO9jiXie/pQVEZEKBjge4vmcM6MGq67ZyUfu6NJR2kUGWEqdBkxkVCAH32wkc++bQaPvtjOud/+K9/+8xpNbycyQjRjkYyKlo5uvvHH1fxuxVaioQANVSVMqS6hobqE06eM4U2vq9HEGSLDoCnoJGc0bdjJH1duY0N7F+t3dLFxxz4SKUdDVTFXnNnA+xonUhrVRzsiB6NCl5zVl0hx/wvbuO2x9SzfuJvSaIjr3j6TS+dN8jqaSE7SnKKSsyKhAO88tZ53nlrPs5t2c/39a/j3e56nLBbiHafUex1PJK/oQ1HJGadOrOSWKxppnHwc//LLZ3l83Q6vI4nkFRW65JRYOMgtl7+eyVXFLL69ieaWPV5HEskbKnTJORXFYX565TxKoiE+dNtT2n5dZJhU6JKT6iuL+OmV8+juS/KeH/6DlVs6vI4kkvNU6JKzZowt4+6rzyQSDPD+Hz2uuUtFDkOFLjntdXVl3HPNmRxfU8pHb2/i9sc30BMfek/TnnhSe6FKQdN26JIXunoTfOrOZ3hodSsAJZEg1WVRymNhdnf3sXNvH119SUIBY8GMWt4zdzxvPqGWWDjocXKR7NJ26JL3SqIhllzeyB+eb2HTzn207+2lfW8fnT1xjq8pYUxJlKrSCLu6+lj67FYebN5OWSzEhafWc+VZUzi+pnTI23XO0drZy+ptnaxv28vrp4zhxPqKUf7pRLJDa+jiO8mU4/F1O/jN8s3c+3wL8WSKt8ysY/EbpzKluoQVG3fzzKZdrNi0m1Vb97BrX/yA7583ZQwfPrOB82bVEQoeOCrZm0jS3NLJio272LkvzpyJlcydfBwVReHR/BGlgGnXfylY7Xt7uf3xV7jj8Q0HFHcoYJwwroyTx1cwo66ME8aVM76yiD+t3MZPH9/A5l3d1JRFqSuPEg4GCAcC9CSSrG7ppC+ZngTbDJxL/z+jroz5U6tYMKOG+VOrNNQjI0aFLgWvuy/J71ZsobMnwexJlZxUX0FRZOjSTaYcDzVv5/fPtdDVmyCeTBFPpggFApxYX87siZXMnlRJZVGEFZt28/SGnfu/euIpisJB3jCtmtryKC27u2np6KG1s5eicJD6yhjjKoqoryzirGnVzJ865jXvAkQORYUuMgp64kkeX7eDv6xu5ZEXW+nqTTKuIsa4ihi15TG6+5JszRR8S0c38aSjqiTCwpPGsvCksVSXRomEAkRDAaKhINFw+nQkGMBMhxaWNBW6SI7piSd5ZE0rv3+uhb80t9J9kE0xIT2kM6Y4wuzMeP2cSZVMqymlKBKkKBwkFAzQl0jRvreXts5e2vf2UhQJUlsWpaYsRnksNOQLQmdPnO17eti9L04wYOmhpWCAWDhARVGYsliY4IBj1DvnSKQcAbMDLpfRpa1cRHJMLBxk4UnjWHjSOPb1JWjasIt9fQl6Eyl64yl6E8n06USKnniSlo4elm/ctX+zzYFCASOROviKWSQUoDgS3L/mHzBo6+yl6zDb7JtBaTREOBigJ56kJ56k/276b7M4HGRMaYS6shi15VFqStOfOfRPVhIwIxIKpN95BANEwwHKi8KUx8JUFIWIhoKZIS1HPJkiOejnCAYs/S4llH6xSaYcPfFXfzf9OQNmBIzMi1L6xSlgRirzIpTK3G5/lkgwQLj//2DANy9Qwyp0M1sIfA8IArc4574x6PoocDtwGrADuMQ5tyG7UUX8qTgS4o2vqxnWsrv39fHMxt1s3t1Nb2ZHqu54kqJwkJqyKNWl6c03u+NJ2jp7ad2TXmPvjifpjafoS6ZIpBzVpRHGlscYWxHjuOIISeeIJ9LXdfcl6eiOs7s7zp7uOIlUilgoSCycflFIOkd35r67epPs6OqlpaOHZzfvpn1v3wj/tkaGGQQHvYsJZV4YopkXk0DmerNXPxBPf6VfLAIBIxQwAgHb/2KSSjlSDhwHvlBddvpkPv6m47P+cxy20M0sCNwInAdsBp42s6XOuVUDFrsK2OWcm2Zmi4D/Ai7JelqRAldZHOGcE2q9jnFQyZQj5RzOsf//vkSK3mSSvsy7jT09CfZ0x9nTk6AnntxfmKFAeiinv1edg0TK0ZdI0ZfIfDCdKdhYOEg4aFimOHHp+06kUvQlHYnMC1f/bQYDtj9LX/LV2+tLpkhk3h2kBgw/H3DfyRTxROrVYk7/Sxc7r+ZNpRzJzDsC51zmXUP6nUNg0IvF+MqiEfn9D2cNfR6w1jn3MoCZ3QVcBAws9IuA/8icvhv4gZmZ82qAXkQ8EQwYQQ4sr/TWRNpOfzQMZ3up8cCmAec3Zy4bchnnXALoAKoG35CZLTazJjNramtrO7rEIiIypFHdANY5t8Q51+ica6ypGd6YoYiIDM9wCn0LMHHA+QmZy4ZcxsxCQAXpD0dFRGSUDKfQnwamm9kUM4sAi4Clg5ZZClyROX0x8BeNn4uIjK7DfijqnEuY2SeB+0lvtnirc+4FM/sK0OScWwr8GLjDzNYCO0mXvoiIjKJhbYfunLsPuG/QZV8ccLoHeF92o4mIyJHQUYFERHxChS4i4hOeHZzLzNqAV47y26uB9izGyaZczZaruUDZjkau5oLczZarueDIsk12zg253bdnhX4szKzpYEcb81quZsvVXKBsRyNXc0HuZsvVXJC9bBpyERHxCRW6iIhP5GuhL/E6wCHkarZczQXKdjRyNRfkbrZczQVZypaXY+giIvJa+bqGLiIig6jQRUR8Iu8K3cwWmtkaM1trZp/zOMutZtZqZisHXDbGzB4ws5cy/x/nQa6JZvawma0ysxfM7NpcyGZmMTN7ysyezeT6cubyKWb2ZOYx/WXmIHCeMLOgmT1jZvfmUjYz22Bmz5vZCjNrylyWC8+1SjO728xWm1mzmZ2RI7lmZH5X/V97zOzTOZLtnzPP/5Vmdmfm7yIrz7O8KvQB0+GdD8wCLjWzWR5G+gmwcNBlnwMecs5NBx7KnB9tCeAzzrlZwHzgmszvyetsvcCbnXOnArOBhWY2n/SUhd9xzk0DdpGe0tAr1wLNA87nUrZznHOzB2yv7PXjCem5hv/knDsBOJX0787zXM65NZnf1WzScx3vA+7xOpuZjQc+BTQ6504ifcDD/mk7j/155pzLmy/gDOD+Aec/D3ze40wNwMoB59cA4zKnxwFrcuD39jvSc8LmTDagGFgOnE56D7nQUI/xKGeaQPqP/M3AvYDlULYNQPWgyzx9PEnPe7CezMYVuZJriJxvBR7LhWy8OrvbGNIHR7wXeFu2nmd5tYbO8KbD81qdc64lc3obUOdlGDNrAOYAT5ID2TJDGiuAVuABYB2w26WnLgRvH9PvAv8KpDLnq8idbA74s5ktM7PFmcu8fjynAG3AbZlhqlvMrCQHcg22CLgzc9rTbM65LcC3gI1AC+npOpeRpedZvhV6XnHpl1vPtgs1s1Lg18CnnXN7Bl7nVTbnXNKl3wZPID0B+QmjnWEoZvYOoNU5t8zrLAdxlnNuLunhxmvM7I0Dr/To8QwBc4EfOufmAF0MGsLIgb+BCHAh8D+Dr/MiW2bM/iLSL4b1QAmvHbY9avlW6MOZDs9r281sHEDm/1YvQphZmHSZ/9w595tcygbgnNsNPEz67WVlZupC8O4xfQNwoZltAO4iPezyvRzJ1r9mh3OulfRY8Dy8fzw3A5udc09mzt9NuuC9zjXQ+cBy59z2zHmvs70FWO+ca3POxYHfkH7uZeV5lm+FPpzp8Lw2cDq+K0iPX48qMzPSs0g1O+e+nSvZzKzGzCozp4tIj+s3ky72i73KBeCc+7xzboJzroH08+ovzrnLciGbmZWYWVn/adJjwivx+PF0zm0DNpnZjMxF5wKrvM41yKW8OtwC3mfbCMw3s+LM32n/7yw7zzMvP6w4yg8VLgBeJD32ep3HWe4kPQ4WJ722chXpcdeHgJeAB4ExHuQ6i/RbyeeAFZmvC7zOBpwCPJPJtRL4YubyqcBTwFrSb42jHj+uC4B7cyVbJsOzma8X+p/3Xj+emQyzgabMY/pb4LhcyJXJVkJ6svqKAZd5ng34MrA68zdwBxDN1vNMu/6LiPhEvg25iIjIQajQRUR8QoUuIuITKnQREZ9QoYuI+IQKXUTEJ1ToIiI+8b/dljAALO7HxAAAAABJRU5ErkJggg==\n", 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\n", 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" ] }, "metadata": { - "needs_background": "light", - "tags": [] + "needs_background": "light" }, "output_type": "display_data" } @@ -1134,7 +1106,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 24, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -1148,32 +1120,29 @@ "name": "stderr", "output_type": "stream", "text": [ - "/usr/local/lib/python3.6/dist-packages/torch/nn/functional.py:1639: UserWarning: nn.functional.sigmoid is deprecated. Use torch.sigmoid instead.\n", + "/home/juliush/miniconda3/envs/8.s05/lib/python3.9/site-packages/torch/nn/functional.py:1806: UserWarning: nn.functional.sigmoid is deprecated. Use torch.sigmoid instead.\n", " warnings.warn(\"nn.functional.sigmoid is deprecated. Use torch.sigmoid instead.\")\n" ] }, { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 231, - "metadata": { - "tags": [] - }, + "execution_count": 24, + "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", 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" ] }, "metadata": { - "needs_background": "light", - "tags": [] + "needs_background": "light" }, "output_type": "display_data" } @@ -1181,14 +1150,15 @@ "source": [ "# rescaling\n", "Y_pred = model.forward(X).detach().numpy() * 1e8\n", - "# p l o t\n", + "\n", + "\n", "plt.errorbar(redshift,distance,yerr=distance_err,marker='.',linestyle = 'None', color = 'black')\n", "plt.plot(redshift,Y_pred)" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 25, "metadata": { "colab": { "base_uri": "https://localhost:8080/" @@ -1201,7 +1171,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "69.38892508050743\n" + "78.21253546969768\n" ] } ], @@ -1259,7 +1229,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 26, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -1271,14 +1241,13 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] }, "metadata": { - "needs_background": "light", - "tags": [] + "needs_background": "light" }, "output_type": "display_data" } @@ -1306,7 +1275,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 27, "metadata": { "id": "5x3Q6Y-mHF3S" }, @@ -1341,7 +1310,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 28, "metadata": { "id": "MAdiTbMwGTCV" }, @@ -1374,7 +1343,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 29, "metadata": { "colab": { "base_uri": "https://localhost:8080/", @@ -1387,25 +1356,22 @@ { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 240, - "metadata": { - "tags": [] - }, + "execution_count": 29, + "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { - "needs_background": "light", - "tags": [] + "needs_background": "light" }, "output_type": "display_data" } @@ -1466,7 +1432,7 @@ "provenance": [] }, "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -1480,7 +1446,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.1" + "version": "3.9.7" } }, "nbformat": 4, diff --git a/Recitation11/spherical_harmonics.ipynb b/Recitation11/spherical_harmonics.ipynb index 605b8a8..0550b0a 100644 --- a/Recitation11/spherical_harmonics.ipynb +++ b/Recitation11/spherical_harmonics.ipynb @@ -13,7 +13,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -29,9 +29,24 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "application/javascript": [ + "MathJax.Hub.Config({\n", + " TeX: { equationNumbers: { autoNumber: \"AMS\" } }\n", + "});\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "%%javascript\n", "MathJax.Hub.Config({\n", @@ -137,7 +152,7 @@ "Proof that $m$ must also be an integer.\n", "\n", "> **ANSWER 1:**\n", - "Your answer here" + "The solution must be periodic, so adding 2*pi should not change the output. Therefore, through complex symetry, m must be an integer." ] }, { @@ -189,7 +204,7 @@ "What is the relation between $P^m_l$ and $P^{-m}_l$? What is the relation between $Y^m_l$ and $Y^{-m}_l$ then?\n", "\n", "> **ANSWER 2:**\n", - "Your answer here" + "$P^{-m}_l(cos (theta)) = (-1)^m (1-m)! (1+m)!^{-1} P^{m}_l(cos (theta))$ and $Y^m_l = (-1)^m Y^{-m}_l *$ where * is the complex conjugate" ] }, { @@ -260,7 +275,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -273,7 +288,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -323,9 +338,22 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "fig, axes = plt.subplots(1, 5, figsize=(15, 6), subplot_kw={'projection': '3d'})\n", "\n", @@ -568,15 +635,21 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "from scipy.integrate import dblquad\n", "\n", "def int_sphere(F):\n", - " ### Your code here\n", - " pass" + " def real_func(theta, phi):\n", + " return np.real(F(theta, phi) * np.sin(theta))\n", + " def imag_func(theta, phi):\n", + " return np.imag(F(theta, phi) * np.sin(theta))\n", + " real = dblquad(real_func, 0, 2*np.pi, lambda x : 0, lambda x : np.pi )[0]\n", + " imag = dblquad(imag_func, 0, 2*np.pi, lambda x : 0, lambda x : np.pi )[0]\n", + " \n", + " return real + 1j*imag" ] }, { @@ -597,11 +670,28 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(12.566370614359172+0j)\n", + "(6.2831853071795845+0j)\n", + "(-1.736715080329277e-16+0j)\n" + ] + } + ], "source": [ - "# Your code here" + "F = lambda theta, phi : 1\n", + "print(int_sphere(F))\n", + "\n", + "F = lambda theta, phi : np.sin(phi)**2\n", + "print(int_sphere(F))\n", + "\n", + "F = lambda theta, phi : np.sin(phi)*np.cos(phi)\n", + "print(int_sphere(F))" ] }, { @@ -626,11 +716,65 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 17, "metadata": {}, "outputs": [], "source": [ - "# Your code here" + "def solve_aml(func, m, l):\n", + " def F(theta, phi):\n", + " return func(theta, phi) * np.conj(Yml(theta, phi, m, l))\n", + " return int_sphere(F)\n", + "\n", + "def solve_all_aml(func, l_min, l_max):\n", + " m_arr = []\n", + " l_arr = []\n", + " aml_arr = []\n", + " for l in np.arange(l_min, l_max+1):\n", + " for m in np.arange(-l, l+1):\n", + " aml = solve_aml(func, m, l)\n", + " \n", + " if np.abs(aml) > 1e-9:\n", + " m_arr.append(m)\n", + " l_arr.append(l)\n", + " aml_arr.append(aml)\n", + " \n", + " return aml_arr, m_arr, l_arr" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "a(+0, 1) = +2.0467+0.0000j\n", + "a(+0, 1) = -1.2280+0.0000j\n", + "a(+0, 3) = +2.1438+0.0000j\n", + "a(-2, 3) = -0.0000+1.2608j\n", + "a(+2, 3) = -0.0000-1.2608j\n", + "a(-3, 4) = +1.1984-0.0000j\n", + "a(+3, 4) = -1.1984-0.0000j\n" + ] + } + ], + "source": [ + "func = lambda theta, phi: np.cos(theta)\n", + "aml_arr, m_arr, l_arr = solve_all_aml(func, 0, 4)\n", + "for i in range(len(aml_arr)):\n", + " print('a({:+}, {}) = {:+.4f}'.format(m_arr[i], l_arr[i], aml_arr[i]))\n", + " \n", + "func = lambda theta, phi: np.cos(3*theta)\n", + "aml_arr, m_arr, l_arr = solve_all_aml(func, 0, 4)\n", + "for i in range(len(aml_arr)):\n", + " print('a({:+}, {}) = {:+.4f}'.format(m_arr[i], l_arr[i], aml_arr[i]))\n", + " \n", + "func = lambda theta, phi: np.sin(2*theta)*(np.cos(3*phi)+np.sin(2*phi))\n", + "aml_arr, m_arr, l_arr = solve_all_aml(func, 0, 4)\n", + "for i in range(len(aml_arr)):\n", + " print('a({:+}, {}) = {:+.4f}'.format(m_arr[i], l_arr[i], aml_arr[i]))" ] }, { @@ -668,13 +812,13 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "# For convenience, you can use this function below\n", "# to plot the surface of any function f(theta, phi) on a sphere\n", - "def plot_surface(func, ax, mode='real'):\n", + "def plot_surface(func, , mode='real'):\n", " ''' Plot a color map of any function f(theta, phi) on a sphere '''\n", " \n", " # Define an angular grid over a unit sphere\n", @@ -702,12 +846,61 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 22, + "metadata": {}, + "outputs": [], + "source": [ + "def approx_sph_harm(func, l_max):\n", + " aml_arr, m_arr, l_arr = solve_all_aml(func, 0, l_max)\n", + " \n", + " def new_func(theta, phi):\n", + " val = 0 + 1j*0\n", + " for i in range(len(aml_arr)):\n", + " val += aml_arr[i] * Yml(theta, phi, m_arr[i], l_arr[i])\n", + " return val\n", + " return new_func" + ] + }, + { + "cell_type": "code", + "execution_count": 24, "metadata": {}, "outputs": [], "source": [ - "# Your code here" + "func = lambda theta, phi: np.sin(2*theta)*(np.cos(3*phi)+ np.sin(2*phi))\n", + "\n", + "func_l4 = approx_sph_harm(func, 4)\n", + "func_l8 = approx_sph_harm(func, 8)\n", + "func_l12 = approx_sph_harm(func, 12)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "ename": "IndexError", + "evalue": "too many indices for array: array is 1-dimensional, but 2 were indexed", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mIndexError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/tmp/ipykernel_9910/1202964238.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mplot_surface\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfunc\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0maxes\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;31mIndexError\u001b[0m: too many indices for array: array is 1-dimensional, but 2 were indexed" + ] + } + ], + "source": [ + "plot_surface(func, axes[2,0])" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { @@ -726,7 +919,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.5" + "version": "3.9.7" } }, "nbformat": 4, diff --git a/Recitation12/MIT_8S50_recitation_12.ipynb b/Recitation12/MIT_8S50_recitation_12.ipynb index 8c16be0..2c02652 100644 --- a/Recitation12/MIT_8S50_recitation_12.ipynb +++ b/Recitation12/MIT_8S50_recitation_12.ipynb @@ -1 +1,303 @@ -{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"name":"MIT_8S50_recitation_12.ipynb","provenance":[],"collapsed_sections":[]},"kernelspec":{"display_name":"Python 3","name":"python3"}},"cells":[{"cell_type":"markdown","metadata":{"id":"j_OYjrski6wJ"},"source":["# MIT_8.S50 Recitation 12: Additional features of the Discrete Fourier Transform (DFT)\n","\n","Author: Juan Mena-Parra\n","\n","Date: December 08, 2021\n"]},{"cell_type":"markdown","source":["# Preliminaries\n","\n","QUESTION: What is the Fourier transform of $f(t)=\\sin(\\omega t)$? and of $f(t)=e^{i\\omega t}$?\n"],"metadata":{"id":"u9C9AJMv4shG"}},{"cell_type":"markdown","source":["# Part 1\n","\n","The discrete Fourier transform (DFT) of a discrete signal $f(n)$ of lenght $N$ is\n","\n","$F(k) = \\sum_{n=0}^{N-1} f(n)e^{-i2\\pi k n/N}$\n","\n","The inverse discrete Fourier transform (IDFT) is\n","\n","$x(n) = \\frac{1}{N}\\sum_{k=0}^{N-1} F(k)e^{i2\\pi k n/N}$\n","\n","For what follows, you may need to write functions that implement the DFT and IDFT of a function for given values of $k$ and $n$, respectively\n"],"metadata":{"id":"jnxnxlpt49Pe"}},{"cell_type":"code","metadata":{"id":"KEi4u01GLuE-","executionInfo":{"status":"ok","timestamp":1641915586147,"user_tz":300,"elapsed":4,"user":{"displayName":"Juan David Mena","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GitLOFy2FYeZTcocC3230KsRS0NCBCmzitpTP3zzw=s64","userId":"04300883876663913307"}}},"source":["# Add your code here"],"execution_count":1,"outputs":[]},{"cell_type":"markdown","source":["Consider the discrete function $x(n)=\\sin(2\\pi\\cdot 0.02n)$\n","\n","Plot $x(n)$\n","\n","QUESTION: What is the period of $x(n)$ in samples? This corresponds to an analog signal sampled at 100 Hz. What was the period of the analog signal in seconds?\n","\n","For $N=100$ compute the $X(k)=DFT\\{x(n)\\}$ for $k=0, \\cdots N-1$. Plot |X(k)| vs $k$. \n","\n","QUESTION: Is |X(k)| what you expected based on your intuition from the Fourier transform of a sine function of continuous time $t$? yes/no, why?\n","\n","Compute $y(n)=IDFT\\{X(k)\\}$ for $n=0, \\cdots N-1$. Plot $y(n)$ vs $n$.\n","\n","QUESTION: is $y(n)=x(n)$ from $n=0, \\cdots N-1$? yes/no, why?\n","\n","Compute $z(n)=IDFT\\{X(k)\\}$ for $n=0, \\cdots 3N-1$. Plot $z(n)$ vs $n$.\n","\n","QUESTION: is $z(n)=x(n)$ from $n=0, \\cdots 3N-1$? yes/no, why?"],"metadata":{"id":"x9OqOQQmrbpW"}},{"cell_type":"code","metadata":{"id":"zVKxHwN839vn","executionInfo":{"status":"ok","timestamp":1641915636126,"user_tz":300,"elapsed":3,"user":{"displayName":"Juan David Mena","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GitLOFy2FYeZTcocC3230KsRS0NCBCmzitpTP3zzw=s64","userId":"04300883876663913307"}}},"source":["# Add your plots here"],"execution_count":2,"outputs":[]},{"cell_type":"markdown","source":["# Part 2\n","\n","Repeat the same procedure above and answer the same questions for $x(n)=\\sin(2\\pi\\cdot 0.025n)$\n"],"metadata":{"id":"GEjvLbYqxt-C"}},{"cell_type":"code","source":["# Add your plots here"],"metadata":{"id":"nN660UbWxsQF","executionInfo":{"status":"ok","timestamp":1641915649096,"user_tz":300,"elapsed":156,"user":{"displayName":"Juan David Mena","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GitLOFy2FYeZTcocC3230KsRS0NCBCmzitpTP3zzw=s64","userId":"04300883876663913307"}}},"execution_count":3,"outputs":[]},{"cell_type":"markdown","source":["# Part 3\n","\n","QUESTION: How does the DFT help with the inversion of $N^{-1}d$ for the CMB project? What are the trade-offs, if any?\n"],"metadata":{"id":"dcOoJNYqmRbA"}}]} \ No newline at end of file +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "j_OYjrski6wJ" + }, + "source": [ + "# MIT_8.S50 Recitation 12: Additional features of the Discrete Fourier Transform (DFT)\n", + "\n", + "Author: Juan Mena-Parra\n", + "\n", + "Date: December 08, 2021\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "u9C9AJMv4shG" + }, + "source": [ + "# Preliminaries\n", + "\n", + "QUESTION: What is the Fourier transform of $f(t)=\\sin(\\omega t)$? and of $f(t)=e^{i\\omega t}$?\n", + "\n", + "ANSWER: the delta function centered at $\\omega$ and $- \\omega$" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "jnxnxlpt49Pe" + }, + "source": [ + "# Part 1\n", + "\n", + "The discrete Fourier transform (DFT) of a discrete signal $f(n)$ of lenght $N$ is\n", + "\n", + "$F(k) = \\sum_{n=0}^{N-1} f(n)e^{-i2\\pi k n/N}$\n", + "\n", + "The inverse discrete Fourier transform (IDFT) is\n", + "\n", + "$x(n) = \\frac{1}{N}\\sum_{k=0}^{N-1} F(k)e^{i2\\pi k n/N}$\n", + "\n", + "For what follows, you may need to write functions that implement the DFT and IDFT of a function for given values of $k$ and $n$, respectively\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "executionInfo": { + "elapsed": 4, + "status": "ok", + "timestamp": 1641915586147, + "user": { + "displayName": "Juan David Mena", + "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GitLOFy2FYeZTcocC3230KsRS0NCBCmzitpTP3zzw=s64", + "userId": "04300883876663913307" + }, + "user_tz": 300 + }, + "id": "KEi4u01GLuE-" + }, + "outputs": [], + "source": [ + "# Add your code here\n", + "\n", + "import numpy as np\n", + "from matplotlib.pyplot import *\n", + "from IPython.core.display import Image\n", + "\n", + "rcParams['figure.figsize'] = (20.0, 8.0)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "def mydft(x, k):\n", + " N = len(x)\n", + " n = np.arange(N)\n", + " W = np.exp(-1j*2*np.pi/N)\n", + " return np.array([np.sum(x*W**(kk*n)) for kk in k])\n", + "\n", + "def myidft(X, n):\n", + " N = len(x)\n", + " k = np.arange(N)\n", + " W_conj = np.exp(1j*2*np.pi/N)\n", + " return np.array([np.sum(X*W_conj**(k*nn)) for nn in n])/N" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "x9OqOQQmrbpW" + }, + "source": [ + "Consider the discrete function $x(n)=\\sin(2\\pi\\cdot 0.02n)$\n", + "\n", + "Plot $x(n)$\n", + "\n", + "QUESTION: What is the period of $x(n)$ in samples? This corresponds to an analog signal sampled at 100 Hz. What was the period of the analog signal in seconds?\n", + "\n", + "For $N=100$ compute the $X(k)=DFT\\{x(n)\\}$ for $k=0, \\cdots N-1$. Plot |X(k)| vs $k$. \n", + "\n", + "QUESTION: Is |X(k)| what you expected based on your intuition from the Fourier transform of a sine function of continuous time $t$? yes/no, why?\n", + "\n", + "Compute $y(n)=IDFT\\{X(k)\\}$ for $n=0, \\cdots N-1$. Plot $y(n)$ vs $n$.\n", + "\n", + "QUESTION: is $y(n)=x(n)$ from $n=0, \\cdots N-1$? yes/no, why?\n", + "\n", + "Compute $z(n)=IDFT\\{X(k)\\}$ for $n=0, \\cdots 3N-1$. Plot $z(n)$ vs $n$.\n", + "\n", + "QUESTION: is $z(n)=x(n)$ from $n=0, \\cdots 3N-1$? yes/no, why?" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "executionInfo": { + "elapsed": 3, + "status": "ok", + "timestamp": 1641915636126, + "user": { + "displayName": "Juan David Mena", + "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GitLOFy2FYeZTcocC3230KsRS0NCBCmzitpTP3zzw=s64", + "userId": "04300883876663913307" + }, + "user_tz": 300 + }, + "id": "zVKxHwN839vn" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "N=100\n", + "f = .02\n", + "A = 1.\n", + "phi0 = 0.\n", + "\n", + "n= np.arange(N)\n", + "x = A*np.sin(2*np.pi*f*n)\n", + "k = np.arange(N)\n", + "X = mydft(x, k)\n", + "x1 = myidft(X, n).real\n", + "n2 = np.arange(3*N)\n", + "x2 = myidft(X, n2).real\n", + "\n", + "hf = figure(num=1, figsize=(20,8))\n", + "matplotlib.rcParams.update({'font.size': 15})\n", + "\n", + "subplot(221)\n", + "plot(n, x)\n", + "xlabel('Sample')\n", + "title('$x(n)$')\n", + "subplot(222)\n", + "plot(k, abs(X), '.-')\n", + "xlabel('Frequency bin')\n", + "title('$X(k)$')\n", + "subplot(223)\n", + "plot(n, x1)\n", + "xlabel('Sample')\n", + "title('$IDFT(X(k))$')\n", + "subplot(224)\n", + "plot(n2, x2)\n", + "xlabel('Sample')\n", + "title('$IDFT(x(n))$ from 0 to 3N-1')\n", + "tight_layout()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "GEjvLbYqxt-C" + }, + "source": [ + "# Part 2\n", + "\n", + "Repeat the same procedure above and answer the same questions for $x(n)=\\sin(2\\pi\\cdot 0.025n)$\n" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "executionInfo": { + "elapsed": 156, + "status": "ok", + "timestamp": 1641915649096, + "user": { + "displayName": "Juan David Mena", + "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14GitLOFy2FYeZTcocC3230KsRS0NCBCmzitpTP3zzw=s64", + "userId": "04300883876663913307" + }, + "user_tz": 300 + }, + "id": "nN660UbWxsQF" + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "N=100\n", + "f = .025\n", + "A = 1.\n", + "phi0 = 0.\n", + "\n", + "n= np.arange(N)\n", + "x = A*np.sin(2*np.pi*f*n)\n", + "k = np.arange(N)\n", + "X = mydft(x, k)\n", + "x1 = myidft(X, n).real\n", + "n2 = np.arange(3*N)\n", + "x2 = myidft(X, n2).real\n", + "\n", + "hf = figure(num=1, figsize=(20,8))\n", + "matplotlib.rcParams.update({'font.size': 15})\n", + "\n", + "subplot(221)\n", + "plot(n, x)\n", + "xlabel('Sample')\n", + "title('$x(n)$')\n", + "subplot(222)\n", + "plot(k, abs(X), '.-')\n", + "xlabel('Frequency bin')\n", + "title('$X(k)$')\n", + "subplot(223)\n", + "plot(n, x1)\n", + "xlabel('Sample')\n", + "title('$IDFT(X(k))$')\n", + "subplot(224)\n", + "plot(n2, x2)\n", + "xlabel('Sample')\n", + "title('$IDFT(x(n))$ from 0 to 3N-1')\n", + "tight_layout()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "dcOoJNYqmRbA" + }, + "source": [ + "# Part 3\n", + "\n", + "QUESTION: How does the DFT help with the inversion of $N^{-1}d$ for the CMB project? What are the trade-offs, if any?\n" + ] + } + ], + "metadata": { + "colab": { + "collapsed_sections": [], + "name": "MIT_8S50_recitation_12.ipynb", + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.7" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/Recitation13/Recitation13_learner.ipynb b/Recitation13/Recitation13_learner.ipynb index 4da4928..a4a1f31 100644 --- a/Recitation13/Recitation13_learner.ipynb +++ b/Recitation13/Recitation13_learner.ipynb @@ -130,7 +130,7 @@ "outputs": [ { "data": { - "image/png": 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762nlRc0Sv0gmROmjtyRlHrFNN2A0sNTdRxGc4bfo4wdw9xXuXuLuJfn5+RHCEhGRKKIk+jqgMGF7AHAwYps6oM7d/xqWrydI/CIicoZE6bqpBAaZWTFQD0wHbm3WphyYH/bfjwUa3b0BwMxqzewid98PXMPpffsi7TJ+4WbqjxwDFpxWXtCtMTsBieSwtIne3ZvMbD6wCcgDVrr7HjObE9YvAyqASUA1cBSYlfASdwJrzOwc4ECzOpF2qT9yjJqFN8DyK7IdSkYV9O6ZtJ9eF2mlI6Kc0ePuFQTJPLFsWcJzB+al2HcXUNL+EOWsEyl5L4hdkgdSJnNdpJWOiJToRaSTRPxjVdBtts70pd2U6EW6AA3HlI7QXDciIjGnRC8iEnNK9CIiMadELyISc0r0IiIxp0QvIhJzSvQiIjGncfSSs8bXzqa+6cKkdZrTRiQ6JXrJWfVNF1JT/Ei2wxDp8tR1IyISc0r0IiIxp0QvIhJzSvQiIjGnRC8iEnOREr2ZTTCz/WZWbWYtFve2wOKwfreZjU6oqzGzF81sl5ltz2TwIiKSXtrhlWaWBywBriNY7LvSzMrdPXHt14nAoPAxFlga/jzpKnf/R8aiFhGRyKKMox8DVLv7AYBwAfCpnL7I91Rgdbik4PNm1tvM+p9cIFxEOkeqNWZP1mn1KYFoib4AqE3YruP0s/VUbQqABsCB35uZA8vdfUWyNzGzUqAUYODAgZGCFznbtZbItfqUnBSlj96SlHkb2ox399EE3TvzzOzyZG/i7ivcvcTdS/Lz8yOEJSIiUURJ9HVAYcL2AOBg1DbufvLn68AGgq4gERE5Q6Ik+kpgkJkVm9k5wHSgvFmbcmBGOPpmHNDo7g1mdp6ZXQBgZucBnwWqMhi/iIikkbaP3t2bzGw+sAnIA1a6+x4zmxPWLwMqgElANXAUmBXu/m/ABjM7+V6Pu/vvMv4pREQkpUizV7p7BUEyTyxblvDcgXlJ9jsAjOhgjCIi0gG6M1ZEJOaU6EVEYk6JXkQk5rTClGTd+IWbqT9yLKFkAaDlAkUyRYleOt/yK1qtrj+yQEsGinQidd2IiMScEr2ISMyp60akK0nTDXa6BZ0WhnQtOqMXEYk5JXoRkZhTohcRiTklehGRmNPFWJGYKujWmHSVKS0xePZRoheJqW2Fy2H21hblWmLw7KNEL2fM+NrZ1Ddd2KJcUx2IdK5Iid7MJgDfJ1h45EfuvrBZvYX1kwgWHpnp7jsT6vOA7UC9u0/OUOzSxdQ3XaipDkSyIO3F2DBJLyFY3HsocIuZDW3WbCIwKHyUAkub1d8N7OtwtCIi0mZRRt2MAard/YC7vwesA6Y2azMVWO2B54HeZtYfwMwGADcAP8pg3CIiElGURF8A1CZs14VlUds8RnAv9vvtC1FERDoiSqK3JGUepY2ZTQZed/cdad/ErNTMtpvZ9kOHDkUIS0REooiS6OuAwoTtAcDBiG3GA1PMrIagy+dqM/u/yd7E3Ve4e4m7l+Tn50cMX0RE0omS6CuBQWZWbGbnANOB8mZtyoEZFhgHNLp7g7vf7+4D3L0o3G+zu9+WyQ8gIiKtSzu80t2bzGw+sIlgeOVKd99jZnPC+mVABcHQymqC4ZWzOi9kERFpi0jj6N29giCZJ5YtS3juwLw0r/E08HSbIxQRkQ7RpGYiIjGnRC8iEnOa60bkLFPQu6dmtTzLKNGLnGVSJXPNahlfSvQicabFxAX10YuIxJ4SvYhIzCnRi4jEnBK9iEjMKdGLiMScEr2ISMxpeKW0XZuG7IlItumMXkQk5pToRURiToleRCTmlOhFRGIu0sVYM5sAfJ9ghakfufvCZvUW1k8iWGFqprvvNLMewDPAueF7rXf3BzMYv4hkSEG3Rs1qGVNpE72Z5QFLgOsIFgGvNLNyd9+b0GwiMCh8jAWWhj/fBa5297fNrDvwrJn91t2fz/DnEJEO2la4HGZvbVGuWS27vihdN2OAanc/4O7vAeuAqc3aTAVWe+B5oLeZ9Q+33w7bdA8fnqngRUQkvShdNwVAbcJ2HcHZero2BUBD+I1gB/BxYIm7/zXZm5hZKVAKMHDgwEjBS24aXzub+qYLW5QXdGvMQjQiEiXRW5Ky5mflKdu4+wlgpJn1BjaY2SfcvapFY/cVwAqAkpISnfV3YfVNF1JT/Ei2wxCRUJSumzqgMGF7AHCwrW3c/QjwNDChrUGKiEj7RUn0lcAgMys2s3OA6UB5szblwAwLjAMa3b3BzPLDM3nMrCdwLfBS5sIXEZF00nbduHuTmc0HNhEMr1zp7nvMbE5YvwyoIBhaWU0wvHJWuHt/4KdhP/0HgCfd/deZ/xgiIpJKpHH07l5BkMwTy5YlPHdgXpL9dgOjOhijiJwpSSesW5B6IrskwzEl9+jOWBGRmFOiFxGJOSV6EZGYU6IXEYk5JXoRkZhTohcRiTklehGRmNPi4NJumrxMpGtQope0xi/cTP2RYwklC4AgoWvyMpHcp0QvadUfOUbNwhv+VZDqLkkRyUnqoxcRiTklehGRmFPXjYi0qqBbI0WvLEhavi0L8UjbKdGLSKu2FS5PWp4s+UtuUteNiEjMKdGLiMRcpERvZhPMbL+ZVZtZWZJ6M7PFYf1uMxsdlhea2RYz22dme8zs7kx/ABERaV3aRB8uA7gEmAgMBW4xs6HNmk0EBoWPUmBpWN4EfNXdhwDjgHlJ9hURkU4U5Yx+DFDt7gfc/T1gHTC1WZupwGoPPA/0NrP+7t7g7jsB3P0tYB9QkMH4RUQkjSiJvgCoTdiuo2WyTtvGzIoI1o/9a7I3MbNSM9tuZtsPHToUISwREYkiSqK3JGXeljZmdj7wC+Aed38z2Zu4+wp3L3H3kvz8/AhhiYhIFFHG0dcBhQnbA4CDUduYWXeCJL/G3Z9qf6jSadLOXbNA89uIdGFRzugrgUFmVmxm5wDTgfJmbcqBGeHom3FAo7s3mJkBPwb2uft3Mxq5iIhEkvaM3t2bzGw+sAnIA1a6+x4zmxPWLwMqgElANXAUmBXuPh74IvCime0Ky77u7hUZ/RQiIpJSpCkQwsRc0axsWcJzB+Yl2e9Zkvffi4jIGaI7Y0VEYk6TmolIuxR0a6So7Dcty3v3ZFvZ1VmISFJRoheRdtlWuBxmb21Rniz5S3ap60ZEJOZ0Ri+njK+dTX3ThS3KC7o1ZiEaEckUJXo5pb7pQmqKH8l2GCKSYeq6ERGJOZ3Ri0j7JZ0ao5UpM5JcvJXOpzN6EZGYU6IXEYk5JXoRkZhTohcRiTldjBWRjCro1kjRKwuSlm/LQjyiRC8iGbatcHnS8mTJX84MJfqz0PiFm6k/ciyhJPgPqDtgReJJif4sVH/kGDULb/hXgZYJFIm1SBdjzWyCme03s2ozK0tSb2a2OKzfbWajE+pWmtnrZlaVycBFRCSatInezPKAJcBEYChwi5kNbdZsIjAofJQCSxPqVgETMhGsiIi0XZSumzFAtbsfADCzdcBUYG9Cm6nA6nBJwefNrLeZ9Xf3Bnd/xsyKMh24pNeyLz5Q0LtnFqIRkWyJkugLgNqE7TpgbIQ2BUBD1EDMrJTg2wADBw6Mupu0okVfvIiclaL00Sdb3Nvb0aZV7r7C3UvcvSQ/P78tu4qISCuinNHXAYUJ2wOAg+1oIyJnMa0xmz1REn0lMMjMioF6YDpwa7M25cD8sP9+LNDo7pG7bUQk/rTGbPak7bpx9yZgPrAJ2Ac86e57zGyOmc0Jm1UAB4Bq4IfAHSf3N7O1wHPARWZWZ2b/nuHPICIirYh0w5S7VxAk88SyZQnPHZiXYt9bOhKgiIh0jGavFBGJOU2BEAMpx8t3a9T0BpLzCnr31EXaTqZEHwOau0a6slTJXBdpM0ddNyIiMadELyISc0r0IiIxpz56ETlz2nD9qKDbbF2kzRAlehHJSanupB2/cLP+ALSREn0XommHRTRKpz2U6LsQTTssIu2hi7EiIjGnM/ock6p7BtRFIyLto0SfDa2MPKg/soCa4kda2ffbnRCQSI5q013eCzotjK5OiV5EYiHVwiagETlK9CISC9sKl6esK3plQfJvB0mGb8aREn0nS97nnvorZkG3xs4NSOQsVNCtMUj2zaX6BtCtMfkfji76hyFSojezCcD3gTzgR+6+sFm9hfWTgKPATHffGWXfuGhtjHuLIZGaXVLkjGrtbD+ZpH8UurC0id7M8oAlwHUEi4BXmlm5u+9NaDYRGBQ+xgJLgbER940FjXEXiY9U3wAKFm7ukn39Uc7oxwDV7n4AIFwAfCqQmKynAqvDJQWfN7PeZtYfKIqwb0a1NjyxM2noo0h8pPoGMP7/Pdipd+B21kXjKIm+AKhN2K4jOGtP16Yg4r4AmFkpUBpuvm1m+1uJqR/wj7SRn0GvAnb/qc2ci68Zxdd+uRwbKL6OShPfNZ365s3ySDKtxfeRVDtFSfSWpMwjtomyb1DovgJYESEezGy7u5dEaZsNiq9jcjm+XI4NFF9HxTW+KIm+DihM2B4AHIzY5pwI+4qISCeKMtdNJTDIzIrN7BxgOlDerE05MMMC44BGd2+IuK+IiHSitGf07t5kZvOBTQRDJFe6+x4zmxPWLwMqCIZWVhMMr5zV2r4ZiDtSF08WKb6OyeX4cjk2UHwdFcv4LBgoIyIicaVpikVEYk6JXkQk5rpUojezm8xsj5m9b2YlzeruN7NqM9tvZtdnK8aEeL5lZvVmtit8TMqBmCaEx6fazMqyHU9zZlZjZi+Gx2t7DsSz0sxeN7OqhLI+ZvYHM/uv8OeHciy+nPi9M7NCM9tiZvvC/7N3h+U5cfxaiS9Xjl8PM/ubmb0QxvftsLx9x8/du8wDGAJcBDwNlCSUDwVeAM4FioGXgbwsx/ot4GvZPmYJ8eSFx+WjBMNeXwCGZjuuZjHWAP2yHUdCPJcDo4GqhLJHgLLweRnwv3Msvpz4vQP6A6PD5xcAfw//n+bE8Wslvlw5fgacHz7vDvwVGNfe49elzujdfZ+7J7tjdiqwzt3fdfdXCEb/jDmz0eW8U1NZuPt7wMnpKCQFd38GeKNZ8VTgp+HznwL/80zGlChFfDnB3Rs8nNjQ3d8C9hHcKZ8Tx6+V+HKCB94ON7uHD6edx69LJfpWpJqCIdvmm9nu8Ct21r7ih3L1GCVy4PdmtiOcEiMX/ZsH94gQ/vwfWY4nmVz6vcPMioBRBGelOXf8msUHOXL8zCzPzHYBrwN/cPd2H7+cS/Rm9kczq0ryaO3sM/JUC5mUJtalwMeAkUAD8H86O540snKM2mi8u48mmA11npldnu2AuqCc+r0zs/OBXwD3uPub2YwlmSTx5czxc/cT7j6SYEaBMWb2ifa+Vs4tPOLu17ZjtyjTNGRc1FjN7IfArzs5nHSycozawt0Phj9fN7MNBN1Nz2Q3qhZeM7P+7t5gwQytr2c7oETu/trJ59n+vTOz7gRJdI27PxUW58zxSxZfLh2/k9z9iJk9DUygnccv587o26kcmG5m55pZMcG8+H/LZkDhP8JJnwOqUrU9Q3J6OgozO8/MLjj5HPgs2T9myZQDXwqffwn4ZRZjaSFXfu/MzIAfA/vc/bsJVTlx/FLFl0PHL9/MeofPewLXAi/R3uOX7avLbbwS/TmCM9N3gdeATQl1DxCMKtkPTMyBWH8GvAjsDv9x+udATJMIRhe8DDyQ7XiaxfZRgpFALwB7ciE+YC3B1/fj4e/dvwN9gT8B/xX+7JNj8eXE7x3waYKuwd3ArvAxKVeOXyvx5crxuwT4zzCOKuCbYXm7jp+mQBARibm4dN2IiEgKSvQiIjGnRC8iEnNK9CIiMadELyISc0r0IiIxp0QvIhJz/x832RaBlZLUvQAAAABJRU5ErkJggg==", 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\n", 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" ] @@ -194,9 +194,10 @@ " Returns:\n", " float: likelihood of the data given the parameters.\n", " \"\"\" \n", + " log_likelihood = stats.norm.logpdf(D, mu, sigma).sum()\n", " # Implement a likelihood function for the model used to generate the data\n", " # make sure to avoid multiplying very small numbers to avoid underflow\n", - " return # return a single value for the likelihood/loglikelihood for the entire dataset: p(x|D)\n", + " return log_likelihood# return a single value for the likelihood/loglikelihood for the entire dataset: p(x|D)\n", "# you can also use stats.norm from scipy \n", "# which implements methods for all sorts of useful things like the pdf and cdf\n", "\n", @@ -210,13 +211,14 @@ " Returns:\n", " float or array[float]: Next state of the Markov chain.\n", " \"\"\" \n", + " new_x = np.random.normal(x, .1)\n", " # Implement a symmetric transition model\n", " # Remember if the transition density is not symmetric, \n", " # you will need to account for this term in the acceptance probability\n", "\n", " # For now we will run the MCMC over the mean only and assume we know the true sigma\n", " # An easy transition_model is to sample from a normal distribution around the current mean\n", - " return # return a single value for the new mu\n", + " return new_x\n", "\n", "def prior(x):\n", " \"\"\"Returns the prior probability of the current state x. \n", @@ -227,8 +229,9 @@ " Returns:\n", " float: p(x)\n", " \"\"\" \n", + " log_prior = stats.norm.logpdf(x, 11, 5)\n", " # Implement a prior for mu you can pick a uniform prior or something else\n", - " return # return a single value for the prior" + " return log_prior# return a single value for the prior" ] }, { @@ -244,28 +247,20 @@ "metadata": {}, "outputs": [], "source": [ - "def step(data, mu, sigma):\n", + "def step(mu, sigma):\n", " # A single step of the Markov chain\n", " # This function should return the new value of mu and sigma\n", " # and the loglikelihood of the new value\n", " # You will change this later to step over sigma as well\n", - " return transition_model(mu), sigma, likelihood(data, mu, sigma)\n", + " return transition_model(mu), sigma, likelihood(obs, mu, sigma)\n", "\n", - "def metro_hastings(mu, sigma, n_samples=1000, data=obs):\n", - " \"\"\"Runs the Metropolis-Hastings algorithm until n_samples are generated.\n", - "\n", - " Args:\n", - " mu (float): Initial mu value of the Markov chain..\n", - " sigma (float): Initial sigma value of the Markov chain.\n", - " n_samples (int, optional): Number of samples to generate (can get stuck if you're not careful! \n", - " you should set a max number of steps). Defaults to 1000.\n", - " n_samples (int, optional): Number of samples to generate (can get stuck if you're not careful! \n", - " you should set a max number of steps). Defaults to 1000.\n", - "\n", - " Returns:\n", - " np.Array[float]: Array of generated samples.\n", - " \"\"\" \n", + "def metro_hastings(mu, sigma, n_samples=1000):\n", " # Implement the Metropolis-Hastings algorithm\n", + " samples = []\n", + " while i< n_samples:\n", + " new_mu, sigma, log_likelihood, log_prior = step(data, mu, 5)\n", + " log_ratio = prior(new_mu) + likelihood(data, new_mu, sigma) - (log_likelihood\n", + " \n", " return # samples" ] }, @@ -277,11 +272,13 @@ "source": [ "# Run your Metropolis-Hastings algorithm\n", "# to generate 1000 samples\n", - "samples= metro_hastings(0, 5, n_samples=1000)\n", + "samples, sample_index, all_mus= metro_hastings(0, 5, n_samples=1000)\n", + "print(\"acceptancerate:\", len(samples)/len(all_mus))\n", "# What is your acceptance rate?\n", "# What determines this value? How can you make it larger?\n", "# Hint: try changing your jumping distribution\n", - "\n", + "plt.scatter(sample_index, samples, alpha =.5, s=10)\n", + "plt.show()\n", "\n", "# Make some plots to visualize your markov chain with (parameter as a function of step for example)\n", "# both accepted and rejected proposals\n", @@ -303,9 +300,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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31ohYjIjjEXFhrf28iLilWve+iIg1rvETEXFT9fWdiLipat8SEf9bW7d/LevoUdc7IuL7tf3vqq3rOXZjqus9EfGNiLg5Ij4dEU+o2ic6XlUNO6oxWYyIK8a9/1odmyPi3yPi9mr+v7lq73tMx1jbd6rz66aIWKjanhQR/xoR36r+feKYa3p2bUxuioj7IuItkxiviDgYEfdExK21tr7j0+q5mJlT/QU8B3g28EVgvta+Hfg68GhgK3AHsK5a9zXgxUAAnwN2jrHe9wJvqx5vAW6d4Ni9A/izHu19x25Mdf0GsL56/G7g3VMyXuuqsXgGcFY1RtsnVMsG4Nzq8eOAb1bHrecxHXNt3wHO6Wr7K+CK6vEVy8d0gsfxv4GnT2K8gJcC59bncr/xaftcnPor9My8PTOP91h1EXAoMx/IzG8Di8D5EbEBODszr8/OiH0E+J1x1Fr9JPAHwMfHsb9V6Dl249p5Zn4+M09Xi18FNo1r30OcDyxm5p2Z+SBwiM5YjV1mnsrMG6vHPwZuBzZOopaGLgI+XD3+MGM65/p4GXBHZq70k+irkplfBn7Y1dxvfFo9F6c+0AfYCNxVWz5RtW2sHne3j8NLgLsz81u1tq0R8V8R8aWIeMmY6qjbV93aOFj7Ma/f2E3CH9H5KWrZJMdrmsblIRGxBXgB8J9VU69jOk4JfD4iboiIPVXbUzPzFHRejICnTKCuZbt5+EXVpMcL+o9Pq3NuKgI9Iv4tIm7t8TXo6qjXffEc0D6OGi/h4RPpFPC0zHwB8KfAP0TE2autZYS6Pgg8E3h+Vct7l7+tx6Zaff9qk/GKiCuB08DHqqY1H69hZfdom+j7eiPiscCngLdk5n30P6bj9CuZeS6wE7gsIl46gRp6ioizgFcC/1g1TcN4DdLqnFu/ikJak5kvX8G3nQA215Y3ASer9k092ldlWI0RsR74XeC82vc8ADxQPb4hIu4AngUsrLaepnXV6vs74LPVYr+xa02D8Xo98FvAy6pbY2MZryHWfFxGERGPohPmH8vMawEy8+7a+voxHZvMPFn9e09EfJrOLYK7I2JDZp6qbnveM+66KjuBG5fHaRrGq9JvfFqdc1Nxhb5Ch4HdEfHoiNgKbAO+Vv048+OIeFF1T/t1wGfGUM/LgW9k5kO3eyJiLiLWVY+fUdV45xhqWd7/htriq4Dl37r3HLsx1rUDuBx4ZWbeX2uf6HgBR4FtEbG1utLbTWesxq6au38P3J6Zf11r73dMx1XXz0fE45Yf0/kF9610xun1VbfXM55zrpeH/ZQ86fGq6Tc+7Z6Lk/pN9Ai/MX4VnVexB4C7getq666k81vh49TeyQLM0zlwdwDvp/pE7BrXeQ2wt6vt94BjdH6LfSPw22Meu48CtwA3VxNnw7CxG1Ndi3TuG95Ufe2fhvGqathF5x0ldwBXjnv/tTp+lc6P3jfXxmnXoGM6prqeUR2fr1fH6sqq/cnAF4BvVf8+aQJj9hjgB8Dja21jHy86LyingP+rsuuNg8anzXPRj/5LUiFm+ZaLJKnGQJekQhjoklQIA12SCmGgS1IhDHRJKoSBLkmF+H9O1iqm+syb0QAAAABJRU5ErkJggg==\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "# Use plt.acorr to plot the autocorrelation of the samples you generated \n", "# (make sure to remove the mean first i.e. samples - np.mean(samples))\n", @@ -313,7 +323,10 @@ "# Do you notice a problem?\n", "# Try the same thing with every 10th sample for example. You should notice less autocorrelation.\n", "# This is why people use \"thinning\" in MCMC methods.\n", - "# Another way to fix this is to use a proposal distribution with larger step sizes." + "# Another way to fix this is to use a proposal distribution with larger step sizes.\n", + "\n", + "plt.acorr(np.random.randn(1000), maxlags=100)\n", + "plt.show()" ] }, { @@ -348,9 +361,21 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": {}, - "outputs": [], + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'samples' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/tmp/ipykernel_327/2250754349.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 7\u001b[0m \u001b[0;31m# your results.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 8\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 9\u001b[0;31m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mhist\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msamples\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m100\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbins\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m50\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdensity\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0malpha\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m.5\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 10\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0maxvline\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmu_true\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcolor\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'r'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlinestyle\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'--'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlabel\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'Estimated Mean'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 11\u001b[0m \u001b[0mCI\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpercentile\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msamples\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m100\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0;36m2.5\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m97.5\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mNameError\u001b[0m: name 'samples' is not defined" + ] + } + ], "source": [ "# Make a histogram of your samples (don't forget about burn-in)\n", "# Plot your best estimate of the true mean\n", @@ -358,7 +383,15 @@ "# Are the results reasonable?\n", "# How can you have a \"better\" interval?\n", "# Hint: Investigate how the number of observations affects\n", - "# your results." + "# your results.\n", + "\n", + "plt.hist(samples[100::], bins=50, density=True, alpha=.5)\n", + "plt.axvline(mu_true, color='r', linestyle='--', label='Estimated Mean')\n", + "CI = np.percentile(samples[100::], [2.5, 97.5])\n", + "plt.axcline(CI[0], color='g', linestyle='--', label = '95% CI')\n", + "plt.axcline(CI[1], color='g', linestyle='--')\n", + "plt.legend()\n", + "plt.show()" ] }, { @@ -385,7 +418,7 @@ "hash": "c34b3f829f55344124a5a0f2100dda58adb8e3cad3250906cc72bb8dd00bb6e7" }, "kernelspec": { - "display_name": "Python 3.9.7 64-bit ('base': conda)", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -399,9 +432,8 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.1" - }, - "orig_nbformat": 4 + "version": "3.9.7" + } }, "nbformat": 4, "nbformat_minor": 2 diff --git a/Recitation2/Recitation_02.ipynb b/Recitation2/Recitation_02.ipynb index 23758fd..7b73678 100644 --- a/Recitation2/Recitation_02.ipynb +++ b/Recitation2/Recitation_02.ipynb @@ -2,6 +2,7 @@ "cells": [ { "cell_type": "markdown", + "metadata": {}, "source": [ "\n", "
\n", @@ -12,11 +13,11 @@ "# RECITATION 2: Error Propagation & Fourier Analysis\n", "---\n", "" - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "\n", "\n", @@ -38,19 +39,19 @@ "\n", "pip3 install https://sigproc.mit.edu/_static/fall21/software/lib6003-0.0.4.tar.gz\n", "" - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "----\n", "## 2.1 Error Propagation" - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "## 2.1.0 Motivation: Lab Reports and Beyond\n", "- We often encounter functions of measured quantities with associated independent Gaussian errors\n", @@ -58,23 +59,32 @@ "- Sometimes things get complicated\n", " - A good physicist is (somewhat) lazy\n", "- We can use NumPy to help us propagate errors through more complex functions" - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "## 2.1.1 A (Very) Simple Example\n", "\n", "Suppose we have data points ($x,y$) with independent gaussian errors $\\Delta x$ and $\\Delta y$. We want to compute $f(x,y) = x + y$ and its error.\n", "\n", "Using our error propagation formula above we obtain: $\\Delta f = \\sqrt{(\\Delta x)^2 + (\\Delta y)^2} $" - ], - "metadata": {} + ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "f(x) = 14.000000 +/- 2.828427\n" + ] + } + ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", @@ -93,20 +103,40 @@ "y_err = 2.\n", "\n", "print(\"f(x) = %f +/- %f\" % (f(x_val, y_val), delta_f(x_err, y_err)))\n" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "Now let's try using NumPy to run actual gaussian distributions through this function" - ], - "metadata": {} + ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "f(x) = 13.998440 +/- 2.817701\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "np.random.seed(2)\n", "N_SAMPLES = 100000\n", @@ -123,12 +153,11 @@ "plt.plot(bin_centers, scipy.stats.norm.pdf(bin_centers, loc = f(x_val, y_val), scale = delta_f(x_err, y_err)))\n", "\n", "print(\"f(x) = %f +/- %f\" % (np.mean(f_samples), np.std(f_samples)))\n" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "## 2.1.2 A More Complicated Example\n", "\n", @@ -164,12 +193,33 @@ "print(\"g(x) = %f +/- %f\" % (g_val, g_err))\n", "\n", "-->" - ], - "metadata": {} + ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "g(x) = -20.437936 +/- 14.358070\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "np.random.seed(2)\n", "N_SAMPLES = 100000\n", @@ -182,10 +232,9 @@ "# Insert Code Here #\n", "####################\n", "\n", - "g_samples = None # Placeholder Value - Fill in the correct line\n", - "g_val = None # Placeholder Value - Fill in the correct line\n", - "g_err = None # Placeholder Value - Fill in the correct line\n", - "\n", + "g_samples = g(x_samples, y_samples)\n", + "g_val = np.mean(g_samples)\n", + "g_err = np.std(g_samples)\n", "####################\n", "\n", "counts, bin_edges = np.histogram(g_samples, bins = N_BINS, density = True)\n", @@ -194,12 +243,11 @@ "plt.plot(bin_centers,counts)\n", "\n", "print(\"g(x) = %f +/- %f\" % (g_val, g_err))\n" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "## 2.1.3 Johnson Noise\n", "Let's apply this to something slightly more useful, such as measuring the Boltzmann constant. We can use Johnson Noise (the thermal noise across a resistor), which is defined by:\n", @@ -207,12 +255,13 @@ "$$\\frac{V^2}{4 T} = k_B R\\int_{0}^{\\infty} \\frac{g(f)^2}{1+ (2\\pi R C f)^2}$$\n", "\n", "Suppose we measured $g$ as a function of $f$, and we have some uncertainties on $R$ and $C$. Let's compute the total uncertainty on this complicated quantity\n" - ], - "metadata": {} + ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, + "metadata": {}, + "outputs": [], "source": [ "frequency = np.array([ 200., 300., 400., 500., 600., 700., 800.,\n", " 900., 1000., 1100., 1200., 1300., 1400., 1500.,\n", @@ -255,13 +304,36 @@ " 7.31633110e-09])\n", "v2rmsd4t_uncertainty = np.array([1.25267830e-09, 1.46644504e-09, 1.08426579e-09, 1.77538860e-09,\n", " 2.07583938e-10])" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "from scipy.integrate import trapz\n", "\n", @@ -288,13 +360,58 @@ "\n", "\n", "plt.errorbar(rgr, v2rmsd4t, yerr = v2rmsd4t_uncertainty, xerr= rgr_unc, fmt = 'o' )" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[Model]]\n", + " Model(linear_model)\n", + "[[Fit Statistics]]\n", + " # fitting method = leastsq\n", + " # function evals = 15\n", + " # data points = 5\n", + " # variables = 2\n", + " chi-square = 2.18039779\n", + " reduced chi-square = 0.72679926\n", + " Akaike info crit = -0.14965290\n", + " Bayesian info crit = -0.93077707\n", + "[[Variables]]\n", + " k: 1.35619051 +/- 0.10412943 (7.68%) (init = 1)\n", + " b: 0.02921130 +/- 0.04566742 (156.33%) (init = 1)\n", + "[[Correlations]] (unreported correlations are < 0.100)\n", + " C(k, b) = 0.954\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "from lmfit.models import Model\n", "\n", @@ -307,12 +424,11 @@ "result = lmod.fit(1e-15*rgr, x = v2rmsd4t*1e8, weights = 1/(rgr_unc*1e-15))\n", "print(result.fit_report())\n", "result.plot_fit()" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "\n", "----\n", @@ -329,27 +445,27 @@ "\n", "
\n", "" - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "\"drawing\"" - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "- Measured on Earth, cataclysmic mergers change the length of a 4km LIGO arm by a thousandth of the width of a proton. \n", "- Strain is the instrument's detected space change within an arm in comparison to the total space (length) of the arm. \n", "- In the event of a detectable merger this strain data will form a \"gravitational wave signal\"." - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "\n", "
\n", @@ -374,25 +490,25 @@ "\n", "
\n", "" - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "" - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "" - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "\n", "#### >>> QUESTION 2.2\n", @@ -404,18 +520,18 @@ "\n", "
\n", "" - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "" - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "\n", "
\n", @@ -451,26 +567,26 @@ "***Synthesis (Inverse Discrete Fourier Transform)***\n", "- Can recompose signal with these coefficients.\n", "$$x[n] = \\sum\\limits_{k=0}^{N-1}X[k]e^{i\\frac{2\\pi k}{N} n}$$" - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "\n", "" - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "- Notice that when we tightened our signal in time, we made it wider in frequency. This is a visual representation of the famous _uncertainity principle_! It arises in quantum mechanics because position and momentum obey the same Fourier relationship that time and frequency do above." - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "\n", "
\n", @@ -501,11 +617,11 @@ "- From instrumental artifacts\n", " - Seismic noise\n", " - \"Violin Modes\" from the suspension fibers of the LIGO mirrors. " - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "\n", "
\n", @@ -521,11 +637,11 @@ "\n", "\n", "" - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "#### Whitening data\n", "- From the ASD above, we can see that noise fluctuations are much larger at low and high frequencies and near spectral lines. \n", @@ -540,11 +656,11 @@ "Example: Trasmitted power in one of the interferoeter arms with two large glitches with a frequency around 5-50Hz\n", "\n", "\n" - ], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "#### Filtering\n", "- The amplification/attenuation of frequency components.\n", @@ -552,12 +668,25 @@ " - **Multiplication in the frequency domain**\n", " - A set of scale factors H() which is refered to as the frequency response of the system.\n", "\n" - ], - "metadata": {} + ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "ename": "ModuleNotFoundError", + "evalue": "No module named 'lib6003'", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mModuleNotFoundError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/tmp/ipykernel_2819/268454997.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mmath\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mnumpy\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 4\u001b[0;31m \u001b[0;32mimport\u001b[0m \u001b[0mlib6003\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 5\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mmatplotlib\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mpyplot\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0mlib6003\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0maudio\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mwav_write\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mModuleNotFoundError\u001b[0m: No module named 'lib6003'" + ] + } + ], "source": [ "#Import Packages\n", "import math\n", @@ -571,38 +700,50 @@ "from lib6003.fft import fft\n", "from lib6003.fft import ifft\n", "from scipy.io.wavfile import write" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "##### DFT Filtering\n", "- We can filter using DFT coefficients by scaling them appropriately." - ], - "metadata": {} + ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'wav_file_play' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/tmp/ipykernel_2819/2967923684.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;31m#Noise-Free #3\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0mwav_file_play\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'assets/audio/ocean_man_raw.wav'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;31mNameError\u001b[0m: name 'wav_file_play' is not defined" + ] + } + ], "source": [ "#Noise-Free #3 \n", "wav_file_play('assets/audio/ocean_man_raw.wav')" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "###### Bass Boosting" - ], - "metadata": {} + ] }, { "cell_type": "code", "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "x,fs =wav_read('assets/audio/ocean_man_raw.wav')\n", "## x is the data, fs is the sampling frequency\n", @@ -622,20 +763,32 @@ "y = ifft(Y)\n", "# assert all(abs(i.imag) < 1e-12 for i in y)\n", "wav_play([i.real for i in y],fs)" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "###### Bass Isolation (Low Pass)" - ], - "metadata": {} + ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'wav_read' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/tmp/ipykernel_2819/3161822915.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mx\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mfs\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mwav_read\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'assets/audio/ocean_man_raw.wav'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mN\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mlen\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 3\u001b[0m \u001b[0;31m## f = k*fs/N\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0;31m## k =f*N/fs\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0mfc\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m400\u001b[0m \u001b[0;31m# cutoff frequency in Hz; boost all frequency content below fc\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mNameError\u001b[0m: name 'wav_read' is not defined" + ] + } + ], "source": [ "x,fs = wav_read('assets/audio/ocean_man_raw.wav')\n", "N = len(x)\n", @@ -651,12 +804,11 @@ "y = ifft(Y)\n", "# assert all(abs(i.imag) < 1e-12 for i in y)\n", "wav_play([i.real for i in y],fs)" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "#### Signal Detection and Matched Filtering\n", "- If we have an unknown, noisy signal we can try to detect the presence of a known signal with matched filtering. \n", @@ -668,32 +820,47 @@ "\n", "\n", "\n" - ], - "metadata": {} + ] }, { "cell_type": "code", "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "#Noise-Free \n", "wav_file_play('assets/audio/ocean_man_raw.wav')" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "code", "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "#Noise\n", "wav_file_play('assets/audio/ocean_man.wav')" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'wav_read' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/tmp/ipykernel_2819/3259612607.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;31m#Read in Data\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0mdata\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msamp_rate\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mwav_read\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'assets/audio/ocean_man.wav'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 3\u001b[0m \u001b[0;31m#Check length of Data\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0mN\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdata\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[0;31m#Take the Fourier Transform\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mNameError\u001b[0m: name 'wav_read' is not defined" + ] + } + ], "source": [ "#Read in Data\n", "data, samp_rate = wav_read('assets/audio/ocean_man.wav')\n", @@ -710,15 +877,13 @@ "plt.ylabel('Magnitude $|X(\\\\nu)|$', fontsize=14)\n", "plt.show()\n", "\n" - ], - "outputs": [], - "metadata": { - "scrolled": true - } + ] }, { "cell_type": "code", "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "#Focus in on one set of conjuagte frequencies\n", "plt.plot(f,np.absolute(dft_cof))\n", @@ -728,13 +893,13 @@ "plt.xlabel('Frequency $\\\\nu $', fontsize=14)\n", "plt.ylabel('Magnitude $|X(\\\\nu)|$', fontsize=14)\n", "plt.show()" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "code", "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "#Zoom in on artifact\n", "plt.plot(f,np.absolute(dft_cof))\n", @@ -744,13 +909,25 @@ "plt.xlabel('Frequency $\\\\nu $', fontsize=14)\n", "plt.ylabel('Magnitude $|X(\\\\nu)|$', fontsize=14)\n", "plt.show()" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'N' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/tmp/ipykernel_2819/46664085.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mk_cut\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m990\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mN\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0msamp_rate\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0;31m# print(k_cut)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mfreqs\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mfft\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdata\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0;31m# print(len(freqs))\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mi\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mk_cut\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m100\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mk_cut\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0;36m100\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mNameError\u001b[0m: name 'N' is not defined" + ] + } + ], "source": [ "k_cut = int((990*N/samp_rate))\n", "# print(k_cut)\n", @@ -769,26 +946,36 @@ "\n", "plt.plot(f,np.absolute(freqs))\n", "plt.show()\n" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'ifft' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/tmp/ipykernel_2819/2973114568.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mocean_fix\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mifft\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfreqs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mwav_play\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mocean_fix\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0msamp_rate\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mNameError\u001b[0m: name 'ifft' is not defined" + ] + } + ], "source": [ "ocean_fix = ifft(freqs)\n", "wav_play(ocean_fix,samp_rate)" - ], - "outputs": [], - "metadata": {} + ] }, { "cell_type": "markdown", + "metadata": {}, "source": [ "" - ], - "metadata": {} + ] } ], "metadata": { @@ -810,9 +997,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.5" + "version": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 4 -} \ No newline at end of file +} diff --git a/Recitation3/Recitation_03_learner.ipynb b/Recitation3/Recitation_03_learner.ipynb index f0c7728..3977d23 100644 --- a/Recitation3/Recitation_03_learner.ipynb +++ b/Recitation3/Recitation_03_learner.ipynb @@ -76,7 +76,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -119,13 +119,38 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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nweQ7YXcOnHMLdLwXqtR0nUokaFTgEn32bIVpQ2HF+1CvKfSdASec6zqVSNCpwCVi9Bo1D6jANmMlJZD1X2/J16IC6HAPtOkPCZWCmFIkcqjAJTrkroFJA2Dj55B2AXR/Cuqe4jqVSEipwMXfig9425rNfRwSq8Jlz0BGb61fIjFBBS7+tXGet7XZ9tXQ7Cro8ghUr+86lUjYqMDFfwp2waz7YdFLUCsVbhgHp17sOpVI2KnAxT+shZUTYcpg2LcNWt8G7YdB5equk4k4oQKXiDAhK4es7DwKAyW0HTGbwZ3T6ZmR8r8X7Mrxinv1ZDi+OVw3FlJaugssEgFU4OLchKwcho1fTmGgBICcvHyGjV8OQM+zjocvx8BHD0BJMVz8ILT6M8Trj66I/haIcyOnrya/KHDQc/lFAd6bOoOei9+ATV/CyR2g+5NQO81NSJEIVKECN8bcAdwCWGA5cLO1tiAYwSR2bM7LP+hxZQr5a8L73HpgEuxIhitegOZXa2qgyCHKvY6mMSYFuB3ItNY2A+KBa4MVTGJHo+Skn79uHbeCaZWGclvCB8yMbwe3LYIW16i8RQ6jogshJwBJxpgEoCqwueKRJNYM7pxOw8T9PJYwirGVHsIANwfuobDHs1C1jut4IhGr3EMo1tocY8zjQDaQD8yw1s449HXGmH5AP4DU1NTyHk6ilbX0TJjHpUlDiD+Qx3PFl/Futevp36XFwbNQRORXyl3gxpjawO+Bk4A84F1jTG9r7eu/fJ21djQwGiAzM9OWP6pEnZ0bYfJAWDuLyilnM/hAX7ITmzCnvItZicSYigyhdAK+s9bmWmuLgPFAm+DEkqgWKIYv/g3PtYLs+d7uOH1nkp3YxHUyEV+pyCyUbKCVMaYq3hBKR2BRUFJJ9Nr8lbe12Q9L4bRLodvjUKux61QivlSRMfAFxphxwBKgGMiidKhE5FcK98Gch2H+c1CtHlz9Kpzxe80uEamACs0Dt9beB9wXpCwSrdbOgkl3QF42nP1H6HQ/JNV2nUrE93QnpoTO3lyYPgyWvwt1T4Obp8KJR75MUu6deERilApcgs9a+OpNmHE3HNgLF94FFwyEhMquk4lEFRW4BNeP67xNFjbMhdTW0ONpqJfuOpVIVFKBS3AEiuDzp+GTxyChircnZcubIK6iN/uKyJGowKXiNi2CD2+HbSu8mSWXPgY1jnedSiTqqcCl/A7sgY8ehIWjoUZDuHYsnN7VdSqRmKECl/JZNQWmDILdm+HcftDhHqhS03UqkZiiApdjs2eLt7XZyg+h/plwzX+hcabrVCIxSQUuZVNSAktegZn3Q3EBdLwX2twO8Ymuk4nELBW4HF3uam9qYPY8OKmdN8PkuJNdpxKJeSpwObLiAzD3nzD3CahcHX7/HPzueq1fIhIhVOByeBu/8M66t6+B5tdA54ehej3XqUTkF1TgcrD8PJh1Hyx+BZJT4Yb34NROrlOJyGGowMVjLXwzAaYOhX250Oav0H4YVKrmOpmIHIEKXGDXJph8J6yZBg3PguvfgUa/c51KRI5CBR7LSgKw8AWY/SDYErjkITjvTxCvPxYifqC/qbFqy9fe1mY5i+GUTtDtn1D7RNepROQYqMBjTVE+fPKot6lwlWS4cgw0u1JTA0V8SAUeS9bN8bY22/kdZPSGix+EqnVcpxKRclKBx4L9O2D63bD0TajTBG6a6N1RKSK+pgKPZtZ6+1FOuwsKdsEFg6DdIEhMcp1MRIJABR6tdnwHkwfCutnQ+Bzo8S9ocIbrVCISRCrwaBMohvnPwpxHIC4Buj4OmX0gLt51MhEJMhV4hOo1ah4Ab9/auuy/KGeJNzVwy3JI7+qVd62UECUUEddU4NHgwF6Y8zAseB6q1YdrXoOmPTQ1UCTKqcD97tuZMGkg7MqGzL7Q6T6oUst1KhEJAxW4X+3d5s0u+fo9qJsOfaZDaivXqUQkjFTgfmMtZL0OM+6Bov1w0d3Qtj8kVHadTETCTAUegSZk5ZCVnUdhoIS2I2YzuHM6PTNSYPtamDQANsyFE9tCj6eh7qmu44qIIxUqcGNMMvAi0AywQB9r7bwg5IpZE7JyGDZ+OYWBEgBy8vK5d3wWp63+D2d8OwoSq3hzujNuhLg4x2lFxKWKnoE/DUyz1l5ljKkEVA1Cppg2cvpq8osCPz9uadbwsBnD6au+hzMvhy6PQo0GDhOKSKQo9ymcMaYm0A4YA2CtLbTW5gUpV8zanJcPQHX2MzzhZcZVGk4Ns5++hYPg6ldU3iLys4qcgTcBcoGXjTFnAYuB/tbafUFJFqMaJSdx5u5PGZ74KvXZycuBLjxRfDW1k2u7jiYiEaYig6gJQEvgeWttBrAPuOvQFxlj+hljFhljFuXm5lbgcDFg92berf0soys9yU5bgysKh/Ng8Y3YxGoM7pzuOp2IRJiKnIFvAjZZaxeUPh7HYQrcWjsaGA2QmZlpK3C86FVSAotfglnDaRQoZMUZA7l6aUv22zhSkpP+NwtFROQXyl3g1totxpjvjTHp1trVQEfgm+BFixHbVsLE/vD9AmjSHro/yZl1mtB8ZznWQhGRmFLRWSh/Bd4onYGyHri54pFiRFEBzH0CPnsSKteAy0dBi15av0REyqxCBW6t/QrIDE6UGLLhM5g4AH78FlpcC50fgmp1XacSEZ/RnZjhlL8TZt4LS/4LtdPgxvfh5A6uU4mIT6nAw8FaWDEept4F+3/01i658C6odOT7njT2LSJHowIPtbxsmDwIvp0OjTKg93vQsIXrVCISBVTgoVISgAWjYPY/vMedH4HzbtXWZiISNCrwUPhhmbe12eYsOPUS6PYEJKe6TiUiUUYFHkyF++GTEfDFM1D1OLjqZW8BKk0NFJEQUIEHy7rZMOkO2LkBWv4BLn4AkrR+iYiEjgq8ovZth+l3w7K34LhT4KZJcNIFrlOJSAxQgZeXtbD0LZj+NziwB9oNgQvu9DZcEBEJAxV4eexY7w2XrP8YTjjP29qsflPXqUQkxqjAj0WgCOY9Cx+PgPhEb3bJ2X20tZmIOKECL6ucxfBhf9i6HE7vDl1HQs1GrlOJSAxTgR/NgT0w+yFYOAqqN4Ber0PTHq5TiYiowH/TmukwaSDszoFz+kLHe6FKLdepREQAFfjh7dkK04bCivehXlPoMx1Sz3OdSkTkICrwXyopgazXYObfvQ0XOtwDbfpDQiXXyUREfkUF/pPcNTBpAGz8HE4835saWPcU16lERI5IBV5cCJ8/BZ+OhMSqcNkzkNFb65eISMSL7QLPnu9tKJy7CppdCV1GQPX6rlOJiJRJbBZ4wS6YdT8seglqnQDXvwunXeI6lYjIMYm9Av/mQ5gyGPZtg1Z/gYv+BpWru04lInLMYqfAd+XA1CGwahIc3xyuGwspLV2nEhEpt+gv8JKAN1QyaziUFHvrdLf6s7eWiYiIj0V3gW9d4V2k3PQlNLkIuj8JdU5ynUpEJCiis8CLCrxpgZ8/5d36fsUL0PxqTQ0UkagSfQX+3acwcQDsWAdnXQ+X/AOqHec6lYhI0PmiwHuNmgfA27e2PvKL9u+AGX+Hr16H2mlw4wQ4+aKw5BMRccEXBf6brIWv34Npd3klfv4d3vZmlaq6TiYiElL+LvCdG2HynbB2JjRqCTe+700RFBGJARFf4BOycsjKzqMwUELbEbMZ3Dmdni0awIL/wJyHAANdHoVz/x/ExbuOKyISNhUucGNMPLAIyLHWdq94pP+ZkJXDsPHLKQyUAJCTl89r4z+g/cevkbzrGzitC3R9HJJPCOZhRUR8IRhn4P2BlUDNILzXQUZOX01+UQCAJAoYkPAefeOmsmtXTbj6FTijp6YGikjMqtB26saYxkA34MXgxDnY5rx8AC6IW8b0SkO5NWEy7wQupEPBY3Dm5SpvEYlpFT0DfwoYAtQ40guMMf2AfgCpqanH9OaNkpPIycunddw3FJHANQf+zkLblJTkpApEFhGJDuU+AzfGdAe2WWsX/9brrLWjrbWZ1trMevXqHdMxBndOJykxnqeLr+DSwhEstE1JSoxncOf08sYWEYkaFTkDbwtcZozpClQBahpjXrfW9g5ONOiZkQLAkHHLKAyUkJKc5M1CKX1eRCSWlbvArbXDgGEAxpj2wKBglvdPemakMHZhNnCUOzFFRGJMhS5iioiIO0G5kcda+zHwcTDe63B05i0i8ms6AxcR8SkVuIiIT6nARUR8SgUuIuJTKnAREZ9SgYuI+JQKXETEp1TgIiI+pQIXEfEpY60N38GMyQU2lvOX1wW2BzGOH+gzxwZ95thQkc98orX2V8u5hrXAK8IYs8ham+k6RzjpM8cGfebYEIrPrCEUERGfUoGLiPiUnwp8tOsADugzxwZ95tgQ9M/smzFwERE5mJ/OwEVE5BdU4CIiPhXxBW6MOcEYM8cYs9IYs8IY0991plAzxlQxxiw0xiwt/czDXWcKB2NMvDEmyxgzyXWWcDDGbDDGLDfGfGWMWeQ6TzgYY5KNMeOMMatK/05H9XZbxpj00t/fn37sNsYMCNr7R/oYuDGmIdDQWrvEGFMDWAz0tNZ+4zhayBhjDFDNWrvXGJMIfAb0t9bOdxwtpIwxA4FMoKa1trvrPKFmjNkAZFprY+aGFmPMq8Bca+2LxphKQFVrbZ7jWGFhjIkHcoDzrLXlvaHxIBF/Bm6t/cFau6T06z3ASiDFbarQsp69pQ8TS39E9v9pK8gY0xjoBrzoOouEhjGmJtAOGANgrS2MlfIu1RFYF6zyBh8U+C8ZY9KADGCB4yghVzqc8BWwDZhprY32z/wUMAQocZwjnCwwwxiz2BjTz3WYMGgC5AIvlw6VvWiMqeY6VBhdC4wN5hv6psCNMdWB94AB1trdrvOEmrU2YK39HdAYONcY08xxpJAxxnQHtllrF7vOEmZtrbUtgUuBvxhj2rkOFGIJQEvgeWttBrAPuMttpPAoHS66DHg3mO/riwIvHQd+D3jDWjvedZ5wKv0n5sdAF7dJQqotcFnpmPBbQAdjzOtuI4WetXZz6c/bgPeBc90mCrlNwKZf/GtyHF6hx4JLgSXW2q3BfNOIL/DSC3pjgJXW2n+6zhMOxph6xpjk0q+TgE7AKqehQshaO8xa29ham4b3z8zZ1trejmOFlDGmWulFeUqHES4BvnabKrSstVuA740x6aVPdQSidjLCIa4jyMMn4P2TJtK1BW4ElpeOCQP8zVo7xV2kkGsIvFp61ToOeMdaGxNT62JIA+B97/yEBOBNa+00t5HC4q/AG6VDCuuBmx3nCTljTFXgYuDWoL93pE8jFBGRw4v4IRQRETk8FbiIiE+pwEVEfEoFLiLiUypwERGfUoGLiPiUClxExKf+P02npabAYPu/AAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "import matplotlib.pyplot as plt\n", "\n", - "#your code here" + "plt.errorbar(xi, yi, yerr=y_unc, linestyle=\"none\")\n", + "plt.scatter(xi, yi)\n", + "plt.plot(xi, 2*xi)" ] }, { @@ -148,7 +173,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -179,9 +204,32 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[Model]]\n", + " Model(linear)\n", + "[[Fit Statistics]]\n", + " # fitting method = leastsq\n", + " # function evals = 6\n", + " # data points = 6\n", + " # variables = 2\n", + " chi-square = 4.23466092\n", + " reduced chi-square = 1.05866523\n", + " Akaike info crit = 1.90926274\n", + " Bayesian info crit = 1.49278168\n", + "[[Variables]]\n", + " slope: 1.93632021 +/- 0.10004787 (5.17%) (init = 1)\n", + " intercept: 0.27253202 +/- 0.42745210 (156.84%) (init = 0)\n", + "[[Correlations]] (unreported correlations are < 0.100)\n", + " C(slope, intercept) = -0.919\n" + ] + } + ], "source": [ "result = model.fit(yi, x=xi, weights=1/y_unc);\n", "\n", @@ -218,9 +266,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "result.plot();" ] @@ -276,7 +337,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ @@ -328,7 +389,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -338,9 +399,10 @@ "TRUE_K = np.pi\n", "TRUE_A = 1\n", "\n", - "x = np.linspace(-4 * np.pi, 4 * np.pi, 20)\n", - "y = #your code here\n", - "yerr = #your code here" + "x = np.linspace(.1,np.pi, 20)\n", + "y = model_fn(x, k=TRUE_K, a=TRUE_A)\n", + "y_unc = np.random.random(len(x))*.4 + .1\n", + "y+= np.random.randn(len(x))* y_unc" ] }, { @@ -374,13 +436,38 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "import matplotlib.pyplot as plt\n", "\n", - "#your code here" + "plt.scatter(x=x, y=y)\n", + "plt.errorbar(x=x, y=y, yerr=y_unc, linestyle='none')\n", + "plt.plot(x, model_fn(x, k=TRUE_K, a=TRUE_A))" ] }, { @@ -410,7 +497,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ @@ -446,9 +533,44 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[Model]]\n", + " Model(model_fn)\n", + "[[Fit Statistics]]\n", + " # fitting method = leastsq\n", + " # function evals = 22\n", + " # data points = 20\n", + " # variables = 2\n", + " chi-square = 11.9922753\n", + " reduced chi-square = 0.66623752\n", + " Akaike info crit = -6.22939109\n", + " Bayesian info crit = -4.23792655\n", + "[[Variables]]\n", + " k: 3.20037738 +/- 0.06674182 (2.09%) (init = 1)\n", + " a: 1.00936920 +/- 0.00760190 (0.75%) (init = 2)\n", + "[[Correlations]] (unreported correlations are < 0.100)\n", + " C(k, a) = 0.224\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "result = model.fit(y, params, x=x, weights=1/y_unc);\n", "\n", @@ -467,6 +589,10 @@ "\n", "Do your fit results agree with the true values? Which was determined with higher precision: $k$ or $a$? Does this make sense given your knowledge of the model function and the systematic uncertainty?\n", "\n", + "#### >>>ANSWER\n", + "\n", + "k will only be known once many periods pass (this is when small differences in k are noticeable), whereas a can already be found in the initial point.\n", + "\n", " 3\u001b[0;31m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mresults\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfit_report\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 4\u001b[0m \u001b[0mresults\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/miniconda3/envs/8.s05/lib/python3.9/site-packages/lmfit/model.py\u001b[0m in \u001b[0;36mfit_report\u001b[0;34m(self, modelpars, show_correl, min_correl, sort_pars)\u001b[0m\n\u001b[1;32m 1611\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1612\u001b[0m \"\"\"\n\u001b[0;32m-> 1613\u001b[0;31m report = fit_report(self, modelpars=modelpars,\n\u001b[0m\u001b[1;32m 1614\u001b[0m \u001b[0mshow_correl\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mshow_correl\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1615\u001b[0m min_correl=min_correl, sort_pars=sort_pars)\n", + "\u001b[0;32m~/miniconda3/envs/8.s05/lib/python3.9/site-packages/lmfit/printfuncs.py\u001b[0m in \u001b[0;36mfit_report\u001b[0;34m(inpars, modelpars, show_correl, min_correl, sort_pars)\u001b[0m\n\u001b[1;32m 163\u001b[0m \u001b[0minval\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m'(init = ?)'\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 164\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mpar\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0minit_value\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 165\u001b[0;31m \u001b[0minval\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34mf'(init = {par.init_value:.7g})'\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 166\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mmodelpars\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0;32mNone\u001b[0m \u001b[0;32mand\u001b[0m \u001b[0mname\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mmodelpars\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 167\u001b[0m \u001b[0minval\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34mf'{inval}, model_value = {modelpars[name].value:.7g}'\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mTypeError\u001b[0m: unsupported format string passed to numpy.ndarray.__format__" + ] + } + ], "source": [ - "#your code here" + "results = sorted(results, key=lambda x:x[0])\n", + "\n", + "print(results[0][1].fit_report())\n", + "results[0][1].plot()" ] }, { @@ -985,11 +1222,26 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 20, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "lambda_plus:\tTrue: 1.0\tFit: 1.048959947471869 +/- 0.1841728709861664\tSigmas: 0.26583691294873946\n", + "lambda_minus:\tTrue: 4.0\tFit: 3.0787615686644996 +/- 0.3693582193766582\tSigmas: 2.4941598237348406\n", + "max_amp:\tTrue: 1.2\tFit: 1.597109973251249 +/- 0.12518145087578136\tSigmas: 3.1722748895545614\n", + "omega_0:\tTrue: 3.0\tFit: 2.7371811250580125 +/- 0.04264272818314242\tSigmas: 6.163275337666726\n", + "omega_max:\tTrue: 6.0\tFit: 5.889519092839515 +/- 0.11134294087631089\tSigmas: 0.9922578503042847\n", + "omega_sigma:\tTrue: 4.0\tFit: 4.999999915896448 +/- 0.24071039112883835\tSigmas: 4.15436953596742\n" + ] + } + ], "source": [ - "#your code here" + "for param, info in results[0][1].params.items():\n", + " print(f\"{param}:\\tTrue: {float(params_trues[param])}\\tFit: {info.value} +/- {info.stderr}\"+\\\n", + " f\"\\tSigmas: {abs(info.value - params_trues[param]) / info.stderr}\")" ] }, { @@ -1065,9 +1317,37 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 26, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_8939/1320781351.py:4: RuntimeWarning: invalid value encountered in cos\n", + " return np.cos(k * x) / x**a\n" + ] + }, + { + "ename": "ValueError", + "evalue": "The model function generated NaN values and the fit aborted! Please check your model function and/or set boundaries on parameters where applicable. In cases like this, using \"nan_policy='omit'\" will probably not work.", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/tmp/ipykernel_8939/1331090749.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 6\u001b[0m \u001b[0mparams\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0madd\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'a'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmin\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmax\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m3\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mvalue\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 7\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 8\u001b[0;31m \u001b[0mresult\u001b[0m \u001b[0;34m=\u001b[0m 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nan_policy, calc_covar, max_nfev, **kwargs)\u001b[0m\n\u001b[1;32m 1048\u001b[0m \u001b[0mnan_policy\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mnan_policy\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcalc_covar\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mcalc_covar\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1049\u001b[0m max_nfev=max_nfev, **fit_kws)\n\u001b[0;32m-> 1050\u001b[0;31m \u001b[0moutput\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfit\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdata\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mdata\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mweights\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mweights\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1051\u001b[0m \u001b[0moutput\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcomponents\u001b[0m \u001b[0;34m=\u001b[0m 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{self.max_nfev}\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 586\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 587\u001b[0;31m \u001b[0mout\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0muserfcn\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mparams\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m*\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0muserargs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0muserkws\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 588\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 589\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mcallable\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0miter_cb\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/miniconda3/envs/8.s05/lib/python3.9/site-packages/lmfit/model.py\u001b[0m in \u001b[0;36m_residual\u001b[0;34m(self, params, data, weights, **kwargs)\u001b[0m\n\u001b[1;32m 768\u001b[0m \u001b[0;34m'boundaries on parameters where applicable. In cases like '\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 769\u001b[0m 'this, using \"nan_policy=\\'omit\\'\" will probably not work.')\n\u001b[0;32m--> 770\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mValueError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmsg\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 771\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 772\u001b[0m \u001b[0mdiff\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mmodel\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mValueError\u001b[0m: The model function generated NaN values and the fit aborted! Please check your model function and/or set boundaries on parameters where applicable. In cases like this, using \"nan_policy='omit'\" will probably not work." + ] + } + ], "source": [ "from lmfit import Model, Parameters\n", "\n", @@ -1095,6 +1375,11 @@ "\n", "What was the error? (Remember the phrase `generated NaN values`) What arguments can you add back to the $k$ parameter to fix this error?\n", "\n", + "#### >>>ANSWER\n", + "\n", + "The error was that the fit model tried to fit values of k that were not a number (likely approaching infinite). Therefore, we have to bound the $k$ parameter with something like:\n", + "\n", + "params.add('k', min=0, max=3, value=2)\n", " 23\u001b[0;31m \u001b[0mresults\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mmodel\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfit\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0myi\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mparams\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mxi\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mweights\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m/\u001b[0m\u001b[0myerr\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m;\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 24\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 25\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mresults\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfit_report\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + 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Use a.any() or a.all()" + ] + } + ], "source": [ "import numpy as np\n", "from lmfit import Model, Parameters\n", @@ -1280,6 +1612,10 @@ "\n", "Remember that as a fallback, you can always manually turn a python list into a numpy array by calling `np.array(list)` where `list` is a python list.\n", "\n", + "#### >>>Answer\n", + "\n", + "ValueError: The truth value of an array with more than one element is ambiguous. Use a.any() or a.all()\n", + "\n", "" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -1312,7 +1655,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.10" + "version": "3.9.7" } }, "nbformat": 4, diff --git a/Recitation4/Recitation_04_Likelihood_and_Chi-squared.ipynb b/Recitation4/Recitation_04_Likelihood_and_Chi-squared.ipynb index 3e1fe7a..414dc1e 100644 --- a/Recitation4/Recitation_04_Likelihood_and_Chi-squared.ipynb +++ b/Recitation4/Recitation_04_Likelihood_and_Chi-squared.ipynb @@ -66,21 +66,16 @@ "\n", "a) So, we assume that $y_i$ is a random variable with mean $f(x_i)$, and variance $\\sigma_i^2$. Given this, what is the probability distribution for $y_i$?\n", "\n", - "b) Given the answer to (a), and assuming that the probability distributions for each of the $y_i$ are independent, what is the joint probability distribution?\n", - "\n", - "\n", - "\n", - "
\n", - "" + "\n" ] }, { @@ -108,6 +103,10 @@ "\n", "Hint: what is the only purpose of the likelihood function we have mentioned so far? How is it affected by taking the log?\n", "\n", + "#### >>>ANSWER\n", + "\n", + "Because we really only care about the extra of the function, and the extrma's x-location of a function f(x) is the same x-location of the extreama of the function log(f(x))\n", + "\n", " 1\u001b[0;31m \u001b[0mchi2\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mp\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mchisquare\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdata1\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mpred_y\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Chi-squared:\"\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mchi2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Probability: {:.4%}\"\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mformat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mp\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;31m#a bit dodgy!\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/miniconda3/envs/8.s05/lib/python3.9/site-packages/scipy/stats/stats.py\u001b[0m in \u001b[0;36mchisquare\u001b[0;34m(f_obs, f_exp, ddof, axis)\u001b[0m\n\u001b[1;32m 6850\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6851\u001b[0m \"\"\"\n\u001b[0;32m-> 6852\u001b[0;31m return power_divergence(f_obs, f_exp=f_exp, ddof=ddof, axis=axis,\n\u001b[0m\u001b[1;32m 6853\u001b[0m lambda_=\"pearson\")\n\u001b[1;32m 6854\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/miniconda3/envs/8.s05/lib/python3.9/site-packages/scipy/stats/stats.py\u001b[0m in \u001b[0;36mpower_divergence\u001b[0;34m(f_obs, f_exp, ddof, axis, lambda_)\u001b[0m\n\u001b[1;32m 6692\u001b[0m \u001b[0;34mf\"of {rtol}, but the percent differences are:\\n\"\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6693\u001b[0m f\"{relative_diff}\")\n\u001b[0;32m-> 6694\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mValueError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmsg\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 6695\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6696\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mValueError\u001b[0m: For each axis slice, the sum of the observed frequencies must agree with the sum of the expected frequencies to a relative tolerance of 1e-08, but the percent differences are:\n0.026354236990057164" + ] + } + ], "source": [ "chi2,p = chisquare(data1,pred_y)\n", "print(\"Chi-squared:\",chi2)\n", @@ -290,9 +329,22 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "data2 = np.loadtxt('chisq_data2.txt', delimiter=',') # read in file\n", "plt.xlim(-1,1)\n", @@ -305,9 +357,23 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "ename": "ValueError", + "evalue": "For each axis slice, the sum of the observed frequencies must agree with the sum of the expected frequencies to a relative tolerance of 1e-08, but the percent differences are:\n0.04285714285714286", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/tmp/ipykernel_8960/1578477463.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mchi2\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mp\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mchisquare\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdata2\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mpred_y\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Chi-squared:\"\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mchi2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Probability: {:.2%}\"\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mformat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mp\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;31m#quite consistent!\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/miniconda3/envs/8.s05/lib/python3.9/site-packages/scipy/stats/stats.py\u001b[0m in \u001b[0;36mchisquare\u001b[0;34m(f_obs, f_exp, ddof, axis)\u001b[0m\n\u001b[1;32m 6850\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6851\u001b[0m \"\"\"\n\u001b[0;32m-> 6852\u001b[0;31m return power_divergence(f_obs, f_exp=f_exp, ddof=ddof, axis=axis,\n\u001b[0m\u001b[1;32m 6853\u001b[0m lambda_=\"pearson\")\n\u001b[1;32m 6854\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/miniconda3/envs/8.s05/lib/python3.9/site-packages/scipy/stats/stats.py\u001b[0m in \u001b[0;36mpower_divergence\u001b[0;34m(f_obs, f_exp, ddof, axis, lambda_)\u001b[0m\n\u001b[1;32m 6692\u001b[0m \u001b[0;34mf\"of {rtol}, but the percent differences are:\\n\"\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6693\u001b[0m f\"{relative_diff}\")\n\u001b[0;32m-> 6694\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mValueError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmsg\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 6695\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6696\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mValueError\u001b[0m: For each axis slice, the sum of the observed frequencies must agree with the sum of the expected frequencies to a relative tolerance of 1e-08, but the percent differences are:\n0.04285714285714286" + ] + } + ], "source": [ "chi2,p = chisquare(data2,pred_y)\n", "print(\"Chi-squared:\",chi2)\n", @@ -331,9 +397,22 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "data3 = np.loadtxt('chisq_data3.txt', delimiter=',') # read in file\n", "plt.xlim(-1,1)\n", @@ -346,9 +425,23 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "ename": "ValueError", + "evalue": "For each axis slice, the sum of the observed frequencies must agree with the sum of the expected frequencies to a relative tolerance of 1e-08, but the percent differences are:\n0.014609913484252897", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/tmp/ipykernel_8960/2285225766.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mchi2\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mp\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mchisquare\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdata3\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mpred_y\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Chi-squared:\"\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mchi2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Probability: {:.2%}\"\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mformat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mp\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;31m#too consistent...\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/miniconda3/envs/8.s05/lib/python3.9/site-packages/scipy/stats/stats.py\u001b[0m in \u001b[0;36mchisquare\u001b[0;34m(f_obs, f_exp, ddof, axis)\u001b[0m\n\u001b[1;32m 6850\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6851\u001b[0m \"\"\"\n\u001b[0;32m-> 6852\u001b[0;31m return power_divergence(f_obs, f_exp=f_exp, ddof=ddof, axis=axis,\n\u001b[0m\u001b[1;32m 6853\u001b[0m lambda_=\"pearson\")\n\u001b[1;32m 6854\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/miniconda3/envs/8.s05/lib/python3.9/site-packages/scipy/stats/stats.py\u001b[0m in \u001b[0;36mpower_divergence\u001b[0;34m(f_obs, f_exp, ddof, axis, lambda_)\u001b[0m\n\u001b[1;32m 6692\u001b[0m \u001b[0;34mf\"of {rtol}, but the percent differences are:\\n\"\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6693\u001b[0m f\"{relative_diff}\")\n\u001b[0;32m-> 6694\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mValueError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmsg\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 6695\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6696\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mValueError\u001b[0m: For each axis slice, the sum of the observed frequencies must agree with the sum of the expected frequencies to a relative tolerance of 1e-08, but the percent differences are:\n0.014609913484252897" + ] + } + ], "source": [ "chi2,p = chisquare(data3,pred_y)\n", "print(\"Chi-squared:\",chi2)\n", @@ -393,7 +486,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ @@ -427,7 +520,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ @@ -465,9 +558,27 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[Fit Statistics]]\n", + " # fitting method = leastsq\n", + " # function evals = 23\n", + " # data points = 100\n", + " # variables = 1\n", + " chi-square = 482.432357\n", + " reduced chi-square = 4.87305411\n", + " Akaike info crit = 159.367053\n", + " Bayesian info crit = 161.972223\n", + "[[Variables]]\n", + " l: 4.70034279 +/- 0.52393235 (11.15%) (init = 1)\n" + ] + } + ], "source": [ "from lmfit import Parameters, minimize, fit_report\n", "\n", @@ -490,9 +601,32 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "bins = np.arange(np.max(counts)+1)-0.5\n", "xs = bins+0.5\n", @@ -561,9 +695,32 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", @@ -579,12 +736,18 @@ "# Insert Code Here #\n", "####################\n", "\n", + "for i in range(12):\n", + " q1 = LAMBDA + (i/6)*result.params['l'].stderr\n", + " q2 = LAMBDA - (i/6)*result.params['l'].stderr\n", + " plt.plot(xs, N * poisson.pmf(xs,q1), label=\"True distro\", color=\"C1\", linewidth=2)\n", + " plt.plot(xs, N * poisson.pmf(xs,q2), label=\"True distro\", color=\"C1\", linewidth=2)\n", + "\n", "minimum = None # Placeholder Value - Fill in the correct line\n", "maximum = None # Placeholder Value - Fill in the correct line\n", "\n", "####################\n", "\n", - "plt.fill_between(xs, minimum, maximum, alpha=0.5, color=\"C0\")\n", + "#plt.fill_between(xs, minimum, maximum, alpha=0.5, color=\"C0\")\n", "plt.xlabel(\"Number of photons observed\")\n", "plt.ylabel(\"Number of telescopes\")\n", "plt.legend()" @@ -598,6 +761,10 @@ "\n", "Suppose one of our telescopes also records information about the energy of each photon from the star. Over time, we could produce a histogram of these values representing the spectrum of the star's light output. Suppose we also have a model of the star that predicts a certain spectrum, given some parameters. How could we make a best estimate of these parameters (assuming systematic uncertainties are small relative to statistical uncertainties)?\n", "\n", + "#### >>>ANSWER\n", + "\n", + "We could simply construct a maximum likelihood function for Poisson-distributed values about the expected spectrum and minimize with respect to the model parameters.\n", + "\n", " 4\u001b[0;31m \u001b[0mos\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mchdir\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"project2-julius-heitkoetter\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;31mFileNotFoundError\u001b[0m: [Errno 2] No such file or directory: 'project2-julius-heitkoetter'" + ] + } + ], "source": [ "import uproot\n", "\n", "#Insert The Directory of your Data Folder Here\n", - "os.chdir(\"/Users/briannaryan/Desktop/8.s50/Project2\") " + "os.chdir(\"project2-julius-heitkoetter\") " ] }, { @@ -493,6 +525,11 @@ "\n", "What background jets should we be looking to remove? \n", "\n", + "#### >>>ANSWER\n", + "\n", + "\n", + "QCD, Top quark background, diboson backgrounds\n", + "\n", "Hint: If you haven't already, skim the reading at the start of project 2.\n", "\n", "\n", @@ -663,7 +700,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -677,7 +714,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.1" + "version": "3.9.7" } }, "nbformat": 4, diff --git a/Recitation8/Recitation_08_learner_soln.ipynb b/Recitation8/Recitation_08_learner_soln.ipynb index d2420fc..1e5a028 100644 --- a/Recitation8/Recitation_08_learner_soln.ipynb +++ b/Recitation8/Recitation_08_learner_soln.ipynb @@ -253,7 +253,6 @@ ] }, { - "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ @@ -439,7 +438,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -453,7 +452,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.3" + "version": "3.9.7" } }, "nbformat": 4, diff --git a/Recitation8/Recitation_08_v2.ipynb b/Recitation8/Recitation_08_v2.ipynb index 601d12d..9973c19 100644 --- a/Recitation8/Recitation_08_v2.ipynb +++ b/Recitation8/Recitation_08_v2.ipynb @@ -120,6 +120,42 @@ "Using the function above, plot out the probability distribution of $p$ for $N=20,$ $m=15$." ] }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Best p: 0.75\n" + ] + } + ], + "source": [ + "N, m, p = 20, 15, np.arange(0, 1, .0001)\n", + "posterior = with_uniform_prior(p,N,m) \n", + "plt.plot(p,posterior)\n", + "\n", + "best_p = p[np.argmax(posterior)] \n", + "plt.axvline(best_p,c='k')\n", + "plt.show()\n", + "print('Best p: ', round(best_p,3))" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -132,6 +168,70 @@ "* $N$=4, $m$=3" ] }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Best p: 0.75\n" + ] + }, + { + "data": { + "image/png": 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TCZD+GUq+QgtdqSN0oKuX21/bQH5KFDfMzLc6jjpKiVGhTB2ZyGIfGnbRQlfqCP3P4k3UHejivjnjCA3StVq82aziNKoa2tla7xtru2ihK3UEPtvayAsrqvnRSSMZnxVndRx1jM4oSgN8Z9hFC10pB7V127j11TJGJkXqsrg+IiUmjHFZcXywyTe2ptNCV8pB89/ezJ7WTu6bU6LL4vqQUwtSWF/TSr0P7GSkha6UAz7f3sRzX+zi+yfkMGm47kDkS2aOSQXgw831Fic5dlroSh1GZ08ft71WxvDECG46fbTVcZSTjRkWTXpsGO9v0kJXyuc98G4lu5o6mD+7hPAQHWrxNSLCzDGpfLatga7ePqvjHBMtdKW+wdrd+3lq6Q4uOy6bqSMTrY6jXGTmmBS6eu0s295odZRjooWu1NfotvVx66tlpMaEcdusAqvjKBeaOjKRiJBAPvDyYRctdKW+xsP/2s6Wujb+cP5YosOCrY6jXCgsOJCT8pP4cHO9V981qoWu1BA27T3A3/61jfMnZDCjIMXqOMoNZo5JZW9rl1cv1qWFrtQhbH12bnmljLiIYO78dqHVcZSbzBjd/w/3x1u8dwN7LXSlDvHEZzvYUNvKXecUEx8ZYnUc5SbJ0aEUpcdooSvlK6oa2vjTe1s4vTCVs8amWR1Hudn0Ucms2bWfg129Vkc5KlroSg2w2w23vbqB0KAAfndeMQP7nis/Mj0/GZvdsGy7d+5xr4Wu1IB/LN/Fip3N/PLbhaTEhFkdR1lg0vB4IkMC+cRLh1200JUCavZ3cM/bmzkpP4k5kzKtjqMsEhIUwPG5iXyytcErpy9qoSu/Z4zhFwvLMcAfzh+rQy1+7uRRyVQ3d7KzqcPqKEdMC135vVfX1PLJlgZuOWM0WQkRVsdRFps+KhnAK4ddtNCVX6s/2MXdb22kdHg8Vx4/wuo4ygMMT4xkeGKEFrpS3ubXb1TQ2dvH/AtLCAjQoRbVb3p+Msu2N9Ft867VF7XQld96e8Ne3i7fx09PzSc3OcrqOMqDTB+VTGdvH6t37bc6yhHRQld+qaWjh1+9UUFxRgxXnzTS6jjKw0wdmUBggPCFl81H10JXfum3b22kpaOH+bNLCArUXwP1n6LDghmbEet1NxjpK1n5nY8q63ltTS3zTs6lKD3W6jjKQ03LTWRddQvt3TarozhMC135lbZuG3csLCcvJYrrZ+ZZHUd5sGm5SdjshpU7m62O4jAtdOVX5r+9mT2tncyfXUJokO4Pqr7epOHxhAQG8LkXDbtooSu/sbyqiee+2MX3puUwaXi81XGUhwsPCWRCdpxXjaNroSu/0NnTvz9oVkI4N50xyuo4yktMy02ifE8rrR3esZyuFrryC/e/W8nOpg7mX1BCREiQ1XGUl5iWl4gx8MUO77hK10JXPm/lzmaeWrqDK6YOZ1pektVxlBcZlxlHeHCg14yja6Ern9bZ08ctr5SRERfObbMKrI6jvExIUACTcxJYtr3R6igO0UJXPu3+dyvZ0djOvbNLiAzVoRZ15KblJrKlro2Gg91WRzksLXTls1YNDLVcPjVbh1rUUZs6MhGAFTs8fz66Q4UuImeKSKWIbBOR24Z4/DIRKRv4s0xExjk/qlKO6+zp4+ZXykiPDee2WWOsjqO8WFF6DOHBgV5xg9FhC11EAoGHgVlAIXCJiBQectgO4GRjTAlwN/C4s4MqdSQeGBhque/CEqJ0qEUdg+DAACYNj/eZK/QpwDZjTJUxpgd4ETh38AHGmGXGmC/XmfwC0E0ZlWVW7WzmyaU7uOw4HWpRzjF5RAKb9h2gtdOz56M7UugZQPWgz2sGvvZ1fgC8PdQDInK1iKwSkVUNDd63G4jyfF29/x5quf0sHWpRzjE5Jx5jYI2Hr4/uSKEPtY3LkNthi8gM+gv91qEeN8Y8bowpNcaUJicnO55SKQfdv2RgVosOtSgnmpAVT3CgsMLDx9EdecXXAFmDPs8E9hx6kIiUAE8As4wx3jELX/mU1bv+PdRygg61KCcKDwmkOCOWlR4+ju7IFfpKIF9EckQkBJgLLBp8gIhkA68BVxhjtjg/plLfrKu3j5sX6FCLcp0pOQmsr2mhq9dz9xk9bKEbY2zAdcASYBPwsjGmQkTmici8gcPuBBKBv4nIOhFZ5bLESg3h3ncqqWpsZ/5sHWpRrjFlRAK9fYZ11S1WR/laDr3yjTGLgcWHfO3RQR//EPihc6Mp5Zhl2xt5aukOrjx+OCfm61CLco3S4QmIwModzV/dbORp9E5R5dUOdPVy84IycpIida0W5VKxEcGMTo326DdGtdCVV/vtmxvZ29rJAxeN02VxlctNyUlgza792PrsVkcZkha68lpLKvbxyuoarp2Rx8Rs3YFIud7kEQm09/Sxce8Bq6MMSQtdeaXGtm5+8doGitJjuP5b+VbHUX6idET/hcNqD73BSAtdeR1jDLe/toGD3Tb+dPF4QoL0ZazcY1hsOGkxYazZ3WJ1lCHpb4LyOq+uqeW9jXXcfPpoRqVGWx1H+ZmJw+M8dgkALXTlVWr2d3DXogqm5CTw/RNzrI6j/NDE7HhqWzqpP9BldZT/ooWuvIbdbrh5QRl2Y3hgzjgCA4ZaZkgp15ow8Ab8mt2ed5Wuha68xlNLd/B5VRN3fqeQrIQIq+MoP1WcEUNIYIBHjqNroSuvULGnlXvfqeS0wlQuKs06/F9QykVCgwIpyojxyHF0LXTl8Tp7+rjhhbXERQQzf3YJIjrUoqw1MTuestpWemyedYORFrryeL/750a2N7Tzx4vGkxAZYnUcpZiYHU+Pze5xNxhpoSuP9m7FPv6xfDdXTx+pC28pjzFxeBzgeTsYaaErj1V3oItbXy2jKD2Gm04fbXUcpb4yLDacYbFhHjfTRQtdeSS73fDzl9fR2dvHQ3Mn6N2gyuNMzI5nrYfNdNHfEuWRnvisiqXbmvj1d4rIS4myOo5S/2VCdhy1LZ3UedANRlroyuOU17Zy35JKzihKZe5knaKoPNPE4QM3GHnQOLoWuvIobd02rn9hLQmRIdxzgU5RVJ6rcFgMQQHC+ppWq6N8RXcEUB7DGMMdCzewq6mdF340lXidoqg8WFhwIAXDoimrabE6ylf0Cl15jJdWVvPGuj387NRRHOehezYqNdi4zDg21LRitxurowBa6MpDbN53gF8vquDEvCSumZFndRylHDIuM46D3TZ2NLVbHQXQQlceoL3bxjX/WENMeDB/uni8rqKovEZJViyAxwy7aKErSxlj+NXr5exsbOehueNJjg61OpJSDstLjiI8OJD11Z7xxqgWurLUgtU1vLa2lhtm5jMtV2/tV94lKDCA4owYvUJXakvdQe58o5xpuYm60bPyWiWZcVTsOUBvn/UrL2qhK0sc7Opl3nOriQoN5sG5Om6uvFdJZizdNjtb6g5aHUULXbmfMYabFqxnV3MHf710AinRYVZHUuqojc+KA6DMA24w0kJXbvfIx9tZUlHH7bMKmKrzzZWXy06IIC4imPXVLVZH0UJX7vXZ1kbuX1LJt0uG8YMTc6yOo9QxExHGZsR6xBIAWujKbWr2d3D9C2vIS4nSreSUTxmXGceWuoN09vRZmkMLXblFV28f1/xjDbY+w6OXTyIyVJcRUr6jJDOWPrth415rr9K10JXLGWP4zaIKympaeeCicYxM1vXNlW8ZN/DGqNU3GGmhK5d79vNdvLiymutm5HF6UZrVcZRyutSYMJKjQ6nYY+2m0VroyqU+3drAb9/ayKljUvn5aaOsjqOUyxSnx1CxR6/QlY+qamjj2n+sIS85igfnjidAbx5SPqwoPZat9W109Vr3xqgWunKJ1s5efvjsKoICA3jiu6VE6ZugyscVZ8TQZzdU7rPujlEtdOV0tj4717+wlt1NHTxy2USyEiKsjqSUyxWl9y+lW27hsIteNimn+5+3N/PJlgbuuWCs7jyk/EZmfDgxYUGWvjHq0BW6iJwpIpUisk1Ebhvi8QIR+VxEukXkJufHVN7iuS928eRnO7hq2gjmTsm2Oo5SbiMiFKXHUlFr3RX6YQtdRAKBh4FZQCFwiYgUHnJYM3ADcL/TEyqv8cGmOn79RjkzC1L45dljrI6jlNsVZ8Swad9By5bSdeQKfQqwzRhTZYzpAV4Ezh18gDGm3hizEuh1QUblBcpqWrju+bUUpcfyl0snEBSob88o/1OUHkuPzc72hjZLnt+R37oMoHrQ5zUDXztiInK1iKwSkVUNDQ1H8y2UB6pu7uD7f19FYlQIT15VSkSIvjWj/FNxRgwAFbXWjKM7UuhDTR42R/NkxpjHjTGlxpjS5OTko/kWysO0dvRy1dMr6LH18ffvTda1zZVfy0nq32PUqpkujlxK1QBZgz7PBPa4Jo7yJl29ffzouVVUN3fy3A+mkJcSbXUkpSwVGCCMGRZt2UwXR67QVwL5IpIjIiHAXGCRa2MpT/flXPMVO5q5/6JxOj1RqQFF6bFs3HMAu/2oBjKOyWEL3RhjA64DlgCbgJeNMRUiMk9E5gGISJqI1AA/B34pIjUiEuPK4Mo6drvh1lc38N7GOu46p4hzxqVbHUkpj1GcEUNbt41dzR1uf26H3r0yxiwGFh/ytUcHfbyP/qEY5eOMMdz9z428uqaGn582iu9OG2F1JKU8ypd3jFbsaSUnKdKtz61zy9QR+cuH23h66U6+d8IIrv9WntVxlPI4+alRBAcK5RbMdNFCVw57ZtlO/vjeFi6YmMGvzi7ULeSUGkJoUCD5KdFs3KuFrjzU88t38+tFFZw6JpV7Z5foUrhKfYOCYdFs1kJXnujFFbv5xcINzBidzMOX6V2gSh3OmLQY6g9209TW7dbn1d9M9Y1eXlnNba9t4ORRyTxy+SRCgwKtjqSUxxszrH+Sn7vXRtdCV19rwapqbn2tjJPyk3jsikmEBWuZK+WIgmH9N9m5exxdC10N6eVV1dzyahkn5Cbxv1eWapkrdQSSokJJigpls16hK6s9vXQHt7xSxol5WuZKHa0xw6LZvE+v0JVFjDH89cOt3PXmRk4vTOWJ75YSHqJlrtTRGDMshi11bdjcuDa6FroC+sv8nrc3c/+7W7hgQgZ/u2yivgGq1DEoSIumx2ZnR2O7255TC13RZzfc8Xo5j31SxRVTh3P/nHE6NVGpY1SQ1j/TZZMbx9H1t9bPdfTY+PFzq3h++W6uOSWX355bpDcNKeUEeSlRBAWIW28w0q1l/FjDwW5++MxKNtS28ttzi7jy+BFWR1LKZ4QEBZCXEuXWmS5a6H5qe0MbVz29goaD3Tx2RSmnFaZaHUkpn1OQFs3yHc1uez4dcvFDX1Q1MfuRZXR09/Hi1cdrmSvlImOGxbC3tYuWjh63PJ8Wuh8xxvDs5zu5/InlJESGsPCaExifFWd1LKV8VsHAEgDuGnbRQvcT3bY+bn9tA3e+UcH0Ucm8fu0JZCdGWB1LKZ82Jq1/CQB3vTGqY+h+oP5gFz/5vzWs3rWfa2fk8vPTRhOoM1mUcrnk6FASIkPYtNc9V+ha6D5u2fZGbnxxHW1dNh6+dCJnlwyzOpJSfkNE3LoEgA65+Kg+u+HB97dw+RPLiQkLYuG107TMlbLA6NQYKusOYrcblz+XXqH7oPoDXdz44jo+r2rigokZ3H1uMZGh+qNWygqj06Lo6rVTvb+D4Ymu3TRaf8t9zDvl+7hj4Qbae2zcd2EJc0qzrI6klF/LT+1/Y3RLXZsWunJMa2cvv1lUwcK1tRSlx/DgxeO/eiEppayTnxIFwJa6gy6/50ML3Qd8sqWBW14po6Gtmxtn5nPdt/II1sW1lPII0WHBpMeGsbXO9TNdtNC9WGNbN7//5yYWrq0lLyWKx6+cRElmnNWxlFKHGJUWTWVdm8ufRwvdC9nthpdWVXPP25vp6LFx/bfyuHZGnu4spJSHGpUazbLtTfTZjUvvAdFC9zJlNS3c9eZGVu/az3E5Cfz+/GLyUnSsXClPlp8SRY/Nzq6mdkYmR7nsebTQvcSelk7uW1LJwrW1JEaGcP+cccyemIGI3vGplKcbNWimixa6HzvQ1ctjH2/niU93YICfnJLLNafkEh0WbHU0pZSD8lP/PdPlzOI0lz2PFrqHau3s5e9Ld/LkZ1Uc6LJx3vh0bjpjNJnxuqCWUt4mIiSIrIRwtrh4posWuodp7ejl6WU7ePKzHRzssnFaYSo3zsynOCPW6mhKqWMwKiWarS6e6aKF7iGqGtp4eulOXlldQ2dvH6cXpnKDFrlSPiM/NZpPtjbQ22d32X0iWugW6rMbPtvWyDPLdvLh5npCAgM4Z3w63z8hh8L0GKvjKaWcaHRaFL19hp2N7S67i1sL3QK7mzpYsLqaV1bXsLe1i8TIEG6cmc9lU7NJiQ6zOp5SygXyU/4900UL3cvVHehiScU+3irby4odzYjA9Pxkfnl2IacWphAapDcFKeXL8lKiCJD+mS5n45qlrLXQXcQYQ1VjOx9VNvD2hr2s3r0fY/pvMPh/p41i9qRM0uPCrY6plHKTsOBAshMiXDrTRQvdiZrauvmiqplPtzbw6dZGals6AShIi+Znp45iVnGaroColB8blRqthe6Jum19bK1rY+3u/azZ3cKa3fvZ1dQBQHRoENPyEvnJKblMz0/WzZiVUkB/oX+wuZ5uW59LhlkdKnQRORN4CAgEnjDG3HPI4zLw+FlAB3CVMWaNk7O6nTGGlo5eavZ3sru5g231bWypO8jmfQfY2dRB38CWUklRoUzMjuOSKdlMHhHPuMw4gnT5WqXUIfJTo+izG6oa2hkzzPkz2Q5b6CISCDwMnAbUACtFZJExZuOgw2YB+QN/jgMeGfhfj2GMoavXTnuPjc6ePjp6+mjvsXGgs5fm9h6a2npoau+hub2bprYeals6qdnfSVu37avvIQLDEyIYlRrNWWOHMSo1mvFZcWTGh+uaKkqpw/pyTZdt9W3WFDowBdhmjKkCEJEXgXOBwYV+LvCsMcYAX4hInIgMM8bsdXbgjyrrufutjRgDdmPoMwa7vb+w+4zBbgY+tvd/bLcbbHZDl60Pc5g9WoMDhYTIEBIiQ8mMD2fqyEQy48PJSoggMz6cnKRIIkJ0lEopdXRykiIJENha75o7Rh1ppwygetDnNfz31fdQx2QA/1HoInI1cDVAdnb2kWYF+nf/KEiLISBACBAIEBn4M/DxoK8HBggiEChCREgg4SFBRIYGEh4cSERIEBGhgcSEBZEQGUpiVAjRoUF6pa2Ucpmw4EBuPqOA8VlxLvn+jhT6UA136LWuI8dgjHkceBygtLT0MNfLQ5s0PJ5Jw+OP5q8qpZTlfnJKrsu+tyPv3NUAg7eOzwT2HMUxSimlXMiRQl8J5ItIjoiEAHOBRYccswi4UvpNBVpdMX6ulFLq6x12yMUYYxOR64Al9E9bfMoYUyEi8wYefxRYTP+UxW30T1v8nusiK6WUGopDUzaMMYvpL+3BX3t00McGuNa50ZRSSh0JvftFKaV8hBa6Ukr5CC10pZTyEVroSinlI8Qc7n54Vz2xSAOw6yj/ehLQ6MQ43kDP2T/oOfuHYznn4caY5KEesKzQj4WIrDLGlFqdw530nP2DnrN/cNU565CLUkr5CC10pZTyEd5a6I9bHcACes7+Qc/ZP7jknL1yDF0ppdR/89YrdKWUUofQQldKKR/h0YUuImeKSKWIbBOR24Z4XETkzwOPl4nIRCtyOpMD53zZwLmWicgyERlnRU5nOtw5Dzpusoj0iciF7sznCo6cs4icIiLrRKRCRD52d0Znc+C1HSsib4rI+oFz9upVW0XkKRGpF5Hyr3nc+f1ljPHIP/Qv1bsdGAmEAOuBwkOOOQt4m/4dk6YCy63O7YZzngbED3w8yx/OedBxH9K/6ueFVud2w885jv59e7MHPk+xOrcbzvkXwPyBj5OBZiDE6uzHcM7TgYlA+dc87vT+8uQr9K82pzbG9ABfbk492FebUxtjvgDiRGSYu4M60WHP2RizzBizf+DTL+jfHcqbOfJzBrgeeBWod2c4F3HknC8FXjPG7AYwxnj7eTtyzgaIlv6NfaPoL3Sbe2M6jzHmE/rP4es4vb88udC/buPpIz3Gmxzp+fyA/n/hvdlhz1lEMoDzgUfxDY78nEcB8SLykYisFpEr3ZbONRw5578CY+jfvnIDcKMxxu6eeJZwen85tMGFRZy2ObUXcfh8RGQG/YV+oksTuZ4j5/wgcKsxpq//4s3rOXLOQcAkYCYQDnwuIl8YY7a4OpyLOHLOZwDrgG8BucB7IvKpMeaAi7NZxen95cmF7o+bUzt0PiJSAjwBzDLGNLkpm6s4cs6lwIsDZZ4EnCUiNmPM625J6HyOvrYbjTHtQLuIfAKMA7y10B055+8B95j+AeZtIrIDKABWuCei2zm9vzx5yMUfN6c+7DmLSDbwGnCFF1+tDXbYczbG5BhjRhhjRgCvANd4cZmDY6/tN4CTRCRIRCKA44BNbs7pTI6c8276/4sEEUkFRgNVbk3pXk7vL4+9Qjd+uDm1g+d8J5AI/G3gitVmvHilOgfP2ac4cs7GmE0i8g5QBtiBJ4wxQ05/8wYO/pzvBv4uIhvoH4641RjjtcvqisgLwClAkojUAL8GgsF1/aW3/iullI/w5CEXpZRSR0ALXSmlfIQWulJK+QgtdKWU8hFa6Eop5SO00JVSykdooSullI/4/9W9K8KpQn4SAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Best p: 0.75\n" + ] + } + ], + "source": [ + "N, m, p = 100, 75, np.arange(0, 1, .0001)\n", + "posterior = with_uniform_prior(p,N,m) \n", + "plt.plot(p,posterior)\n", + "\n", + "best_p = p[np.argmax(posterior)] \n", + "plt.axvline(best_p,c='k')\n", + "plt.show()\n", + "print('Best p: ', round(best_p,3))\n", + "\n", + "N, m, p = 4, 3, np.arange(0, 1, .0001)\n", + "posterior = with_uniform_prior(p,N,m) \n", + "plt.plot(p,posterior)\n", + "\n", + "best_p = p[np.argmax(posterior)] \n", + "plt.axvline(best_p,c='k')\n", + "plt.show()\n", + "print('Best p: ', round(best_p,3))" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -161,7 +261,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ @@ -183,6 +283,98 @@ "* $N=100$, $m=75$" ] }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Best p: 0.502\n" + ] + }, + { + "data": { + "image/png": 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\n", 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5nnBvtrqyIiYSSQbHpiIrw3qicBCRFRufmqZraCLylgOgOZYConAQkRXr9MYXRNGNNW1mLWk9dwiEwkFEViyqqbpn01rSwfIVDmZ2i5kdN7NWM3sww34zs4e9/UfM7LqlzjWzajN7ysxOeK9Vc665zcyGzezXVlJBEQnf2b5RAC7ZHOEzh/Ra0holHYglw8HMYsCXgFuB3cCdZrZ7zmG3Ai3en/uAL/s490HgaedcC/C093m2LwLfyqJOIpJjZ/tSYxzqy+KRlaEoP7WOxIUhhUMQ/LQc9gKtzrmTzrlJ4HFg/5xj9gNfdSnPAZVm1rDEufuBx7z3jwG3py9mZrcDJ4GjWdVKRHKqrS+1jkNUYxzS6svjnB/UA+kg+AmHrUDbrM/t3jY/xyx2br1zrhPAe60DMLNS4PPA7yxWKDO7z8wOm9nh7u5uH9UQkbCc7RuluTq6W0pp9eVxutRyCISfcMj0q8DcUSYLHePn3Ll+B/iic254sYOcc4845/Y45/bU1tYucUkRCdPZvlG2rYJw2FIe15oOAcn3cUw70DzrcxNwzucxhYuce8HMGpxznd4tqC5v+w3AJ83sD4BKIGlm4865P/VRVhHJscHRKQbHplZFONSXF9EzPEFiOkl+TJ0xV8LP394LQIuZ7TCzQuAO4OCcYw4Cd3m9lm4EBr1bRYudexC423t/N/AEgHPuJufcdufcduCPgN9TMIisXm39qZ5Kq+K2UkWcpIOe4cmoi7LmLdlycM4lzOwB4EkgBjzqnDtqZvd7+w8Ah4DbgFZgFLhnsXO9Sz8EfN3M7gXOAp8KtGYikhPpbqyrouVQ9s5Yh/SIacmOn9tKOOcOkQqA2dsOzHrvgM/6Pdfb3gt8ZInv/W0/5ROR6KTDobk6ugFwaelAOH9xnKsjLstap5tyIrIiZ/tGqS4tpCxeEHVRZgbCdWmU9IopHERkRdpWSTdWgJrSImJ5pvmVAqBwEJEVWS3dWAHy8oy6siINhAuAwkFEspaYTtLRP8a2VfC8Ia2hIk7n4FjUxVjzFA4ikrXOwXESSbdqWg4AjZXFM1OIS/YUDiKStba+1TPGIW1rZTEdA2NaLnSFFA4ikrUz6XCoWj3h0FhZzGQiSe+IBsKthMJBRLJ2umeEwvw8GiNcAW6uBm+sw7kBPXdYCYWDiGTtVM8Il1SXEIt4qu7Z0kF1bkDPHVZC4SAiWTvVM8KOmtKoi/EuW2fCQS2HlVA4iEhWppOOM72j7KhdXeFQWVJAcUFM4bBCCgcRycq5gTEmp5PsXGUtBzOjoTLOOY11WBGFg4hk5VTPCAA7ajZFXJL5Ut1Z9cxhJRQOIpKVdDhsr1k93VjTGiuK6dRtpRVROIhIVk71jLCpKJ/aTUVRF2WexspiuoYmmEhMR12UNUvhICJZOen1VDJbPd1Y0xoqvUV/NAFf1hQOIpKVUz3Dq64ba1q6O2uHbi1lTeEgIss2kZimo3+M7as0HBo11mHFFA4ismxtfaMkHauuG2taegoNTd2dPYWDiCzb293pnkqrMxziBTE2lxaqO+sKKBxEZNlau4YBuLRu9Y1xSGv0pu6W7CgcRGTZTlwYYmtlMZuK8qMuyoK2VZfQ7k0pLsuncBCRZXvrwvCqbjVAagGi9v4xppNa9CcbCgcRWZbppOPt7mFaVnk4bKsuYXI6yYWLeu6QDYWDiCxLW98oE4kkl9WXRV2URTVXp7qzntWtpawoHERkWU6kH0bXr/6WAygcsqVwEJFlOdE1BKzunkqQ6q2UZ6mWjiyfwkFEluXEhWEaKuKUxwuiLsqiCmKpta3VcsiOwkFEluVE19CqbzWkbasuUThkSeEgIr4lk47WrmFa6lb3w+i0bdUluq2UJYWDiPh2pm+U8akkl29ZGy2H5uoSeoYnGZlIRF2UNUfhICK+HTt3EYCrGisiLok/zV6PpfZ+TaOxXAoHEfHt6LlB8vNsTT1zAHVnzYbCQUR8O9Z5kUvrNhEviEVdFF/S4XCmdyTikqw9vsLBzG4xs+Nm1mpmD2bYb2b2sLf/iJldt9S5ZlZtZk+Z2Qnvtcrb/lEze9HMXvNePxxERUVk5Y6du8juhvKoi+FbVUkBFcUFnOxROCzXkuFgZjHgS8CtwG7gTjPbPeewW4EW7899wJd9nPsg8LRzrgV42vsM0AP8G+fce4G7gf+Vde1EJDDdQxN0DU2wu3HthIOZsbO2lJPdw1EXZc3x03LYC7Q650465yaBx4H9c47ZD3zVpTwHVJpZwxLn7gce894/BtwO4Jx72Tl3ztt+FIibWVF21RORoLzRmXoYvZZaDgC7ajfNLE4k/vkJh61A26zP7d42P8csdm69c64TwHuty/Dd/w542Tk3MXeHmd1nZofN7HB3d7ePaojIShxLh8MaajkA7KwtpXtogqHxqaiLsqb4CQfLsG3uBOkLHePn3MxfanYV8PvAL2ba75x7xDm3xzm3p7a21s8lRWQFjp67SGNFnMqSwqiLsiw7a1I9q06q9bAsfsKhHWie9bkJOOfzmMXOveDdesJ77UofZGZNwN8Ddznn3vZRRhEJ2Stt/byvqTLqYizbpXWpda5P9ui5w3L4CYcXgBYz22FmhcAdwME5xxwE7vJ6Ld0IDHq3ihY79yCpB854r08AmFkl8E3g151z/5J91UQkKL3DE7T1jXHttsqoi7Js26pLieWZWg7LtOQCsM65hJk9ADwJxIBHnXNHzex+b/8B4BBwG9AKjAL3LHaud+mHgK+b2b3AWeBT3vYHgEuB3zKz3/K2fcw5N9OyEJHceqVtAIBrmisjLUc2CvPzaK4q5m31WFoWX6uDO+cOkQqA2dsOzHrvgM/6Pdfb3gt8JMP2LwBf8FMuEcmNV9oGiOUZ721aG9NmzLWzdpNaDsukEdIisqRX2ga4rL6MkkJfv0+uOrtqSznVM8J00ld/GEHhICJLSCYdr7QNrMlbSmkt9WVMJJKaY2kZFA4isqiTPSMMjSe4dg2Hw5VbUmMz3vTGasjSFA4isqgXTvcBcP32qohLkr2W+k3k2TujvGVpCgcRWdRzJ3upLStiZ01p1EXJWrwgxo6aUt44PxR1UdYMhYOILMg5x/Mn+7hhRzVmmSY8WDuubCjnzfNqOfilcBCRBZ3pHeX8xXFu2Lk56qKs2JUN5bT1jWmOJZ8UDiKyoOdP9QLwgZ3VEZdk5a7YUgbAcd1a8kXhICILeu5kHzWbCtlVuzaWBV3MFd5U43oo7Y/CQUQySiYd3z/RzQd31az55w0AjRVxqksLea1jMOqirAkKBxHJ6PVzg/QMT/LjV6yPKfHNjKubKmbmiZLFKRxEJKNnjndjBje3rI9wALimuYoTXcN6KO2DwkFEMvrn411c3VTJ5k3rZ5Xea7ZV4hwcadetpaUoHERknt7hCV5pG+DHL8+0eu/adY23WJFuLS1N4SAi83zn2AWcg5/Yvb7CoaKkgJ21pbx8diDqoqx6CgcRmeebRzrZWVPKbq/753pybXMVL53tJ6npuxelcBCRd+kZnuCHb/dw23sb1kUX1rk+sGszfSOTHL+gwXCLUTiIyLt8+/XzJB184n0NURclFB/clZoK5Idv90ZcktVN4SAi7/J/XmynpW7TzHQT601jZTE7akp59u2eqIuyqikcRGTGsXMXebVtgDv3bluXt5TSPrBrM8+f7CMxnYy6KKuWwkFEZjz+wlkK8/P4t9dtjbooofrQpTUMTSR48Ux/1EVZtRQOIgLAxfEp/v6lDm59zxYqSwqjLk6obr6slsL8PL5z7ELURVm1FA4iAsBfP3+WoYkEP/+hnVEXJXSbivL50KU1PHn0PM6pS2smCgcRYXxqmj//wSluaqnhvU0VURcnJz5+VT3t/WMc0xTeGSkcRIT//fxZuocm+KUf2xV1UXLmJ66sJz/POPjKuaiLsiopHEQ2uIHRSR5++gQ3tdTwgV1rfzlQvzZvKuIjV9bxty+1M6VeS/MoHEQ2uC8+9RYXx6f4jduuXNfdVzP5zPub6Rme5Ok39GB6LoWDyAb2/MleHnv2DHfdeAlXrsN5lJZyc0stjRVxHv3B6aiLsuooHEQ2qMHRKX7tG6+yrbqEz996RdTFiUR+LI/7bt7Jj0738fxJTacxm8JBZANKTCd54GsvcX5wnC9+5hpKCvOjLlJk7ti7jZpNhfz377ylbq2zKBxENpjppONz3zjC90/08IXb38P1l1RFXaRIxQti/KePXsaPTvfxD690RF2cVUPhILKBjE1O8ytfe5m/e7mDX/vYZXzm/duiLtKqcOf7t3Httkr+6z8eo71/NOrirAoKB5EN4s3zF/mpP/sXDr3eyW/ediUPfLgl6iKtGnl5xh9++hoS0477/+pFLo5PRV2kyCkcREI2NZ3kmeNd/PkPTvH3L7fTMzyR0+/vHBzjtw8e5RMP/4CuoQn+4ufezy/cvP6nyFiuHTWl/PGd1/Bm5xA/+5XnuXBxPOoiRcrXUygzuwX4YyAGfMU599Cc/ebtvw0YBX7OOffSYueaWTXwN8B24DTwaedcv7fv14F7gWngV5xzT66oliIRGJ+a5vEfneV/fv8UHQNjM9sLYsYnr2/ml35sF9s2l4Ty3RfHp/jeW90ceq2Tp45dIOng03ua+NzHr6CqdH1PqrcSH76ingP//np++Wsvc8sffY/P3XIFn7y+iYLYxvs92pZ6Om9mMeAt4KNAO/ACcKdz7tisY24DfplUONwA/LFz7obFzjWzPwD6nHMPmdmDQJVz7vNmthv4GrAXaAT+CbjMOTe9UBn37NnjDh8+nN3fgEiAJhLTtHYN89SxCzNTUuy5pIpfuHkn799eTefgGI//qI2/eaGNaef41+9r4PZrtnLttkoqigt8DUJLJh3DkwmGxhNcHJvi4tgUHQNjtPWNcaZvhNfaB2ntHsY5qNlUxE9e3cg9/2o7zdXhBFGQ9u3bB8AzzzwTaTlau4b53Dde5aWzA2wuLeRjV21hzyVVXNFQxpbyOFUlheTlrf0Bg2b2onNuT6Z9floOe4FW59xJ72KPA/uBY7OO2Q981aWS5jkzqzSzBlKtgoXO3Q/s885/DHgG+Ly3/XHn3ARwysxavTI867fCfr15/iIP/PXL79q2UFhm3JphY6bjMl0z83GZrpfh3EzHLaMHXk7K4/N6C/zNLuOaK6iLz3P9/jsDjE4mSDowS60Z8Cd3XsuNO9+ZkqK6tJDfvb2CBz58KV/5/kn++vmzPOHN7VNaGKOkKJ+CPCMvz5hOOhJJl3qdTs58npxOLvjvXV9exFWNFfzk1Y3s3VHNnu3VxNbBD7Fcu7RuE3/7Sx/ku291840X2zn4Sgdf+9HZmf35eUZxQYzC/DyK8vMoyM8j/becDviZv3Vj4X0B2Hd5Lb/5id0BXjHFTzhsBdpmfW4n1TpY6pitS5xb75zrBHDOdZpZ3axrPZfhWu9iZvcB9wFs25Zdj4t4fozL6zMshbjAv1ymzZl+08t8XLDXy7TRFii4/+/2d82Mx/kspN+yrLg8Ga/n739Jv9+b6djSonx21ZbygZ2bqSuPL/gd9eVxfvMTu/nVj13OC6f7eLNziHODY0wkkkwlUkGQHzNieXnk5xmxPCM/z8iP5VGYn0d5PJ/yeAFl8XzK4gU0VMbZWllMvCDmq46yNDNj3+V17Lu8jumk42T3MG9dGKZraJye4QnGJpNMJKaZTCSZ9OZmSod2Orudm/Xr1My+YMdS1C/y39lK+AmHTP9XzK3dQsf4OTeb78M59wjwCKRuKy1xzYy215TypZ+5LptTRQIRL4hxU0stN7XURl0UWUQsz2ipL6Ml0y+T65SfpyztQPOsz03A3DluFzpmsXMveLee8F67lvF9IiISIj/h8ALQYmY7zKwQuAM4OOeYg8BdlnIjMOjdMlrs3IPA3d77u4EnZm2/w8yKzGwH0AL8KMv6iYhIFpa8reScS5jZA8CTpLqjPuqcO2pm93v7DwCHSPVUaiXVlfWexc71Lv0Q8HUzuxc4C3zKO+eomX2d1EPrBPDZxXoqiYhI8JbsyroWqCuryPqwWrqybhSLdWXdeCM7RERkSQoHERGZR+EgIiLzKBxERGSedfFA2sy6gTMruEQN0BNQcdaCjVZfUJ03CtV5eS5xzmUcgbkuwmGlzOzwQk/s16ONVl9QnTcK1Tk4uq0kIiLzKBxERGQehUPKI1EXIMc2Wn1Bdd4oVOeA6JmDiIjMo5aDiIjMo3AQEZF5Nkw4mNktZnbczFq9Navn7jcze9jbf8TM1vwqQD7q/DNeXY+Y2Q/N7Oooyhmkpeo867j3m9m0mX0yl+ULg586m9k+M3vFzI6a2XdzXcag+fhvu8LM/tHMXvXqfE8U5QyKmT1qZl1m9voC+4P/+eWcW/d/SE0X/jawEygEXgV2zznmNuBbpFaiuxF4Pupy56DOHwSqvPe3boQ6zzru/5Gaav6TUZc7B//OlaSmwN/mfa6Lutw5qPNvAL/vva8F+oDCqMu+gjrfDFwHvL7A/sB/fm2UlsNeoNU5d9I5Nwk8Duyfc8x+4Ksu5TmgMr1S3Rq1ZJ2dcz90zvV7H58jtereWubn3xngl4G/5Z3VB9cyP3X+aeDvnHNnAZxza73efursgDJLLRy+iVQ4JHJbzOA4575Hqg4LCfzn10YJh61A26zP7d625R6zliy3PveS+s1jLVuyzma2Ffgp4EAOyxUmP//OlwFVZvaMmb1oZnflrHTh8FPnPwWuJLXE8GvAf3TOJXNTvEgE/vNryZXg1gnLsG1uH14/x6wlvutjZj9OKhw+FGqJwuenzn8EfN45N536pXLN81PnfOB64CNAMfCsmT3nnHsr7MKFxE+dPw68AnwY2AU8ZWbfd85dDLlsUQn859dGCYd2oHnW5yZSv1Es95i1xFd9zOx9wFeAW51zvTkqW1j81HkP8LgXDDXAbWaWcM79Q05KGDy//233OOdGgBEz+x5wNbBWw8FPne8BHnKpG/KtZnYKuIL1ux594D+/NsptpReAFjPbYWaFwB3AwTnHHATu8p763wgMOuc6c13QAC1ZZzPbBvwd8LNr+LfI2Zass3Nuh3Nuu3NuO/AN4D+s4WAAf/9tPwHcZGb5ZlYC3AC8keNyBslPnc+SailhZvXA5cDJnJYytwL/+bUhWg7OuYSZPQA8Saqnw6POuaNmdr+3/wCpniu3Aa3AKKnfPNYsn3X+z8Bm4M+836QTbg3PaOmzzuuKnzo7594ws28DR4Ak8BXnXMYukWuBz3/n3wX+0sxeI3XL5fPOuTU7lbeZfQ3YB9SYWTvwX4ACCO/nl6bPEBGReTbKbSUREVkGhYOIiMyjcBARkXkUDiIiMo/CQURE5lE4iIjIPAoHERGZ5/8DgIezszodSNIAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Best p: 0.75\n" + ] + } + ], + "source": [ + "N, m, p = 20, 15, np.arange(0, 1, .0001)\n", + "posterior = with_new_prior(p,N,m) \n", + "plt.plot(p,posterior)\n", + "\n", + "best_p = p[np.argmax(posterior)] \n", + "plt.axvline(best_p,c='k')\n", + "plt.show()\n", + "print('Best p: ', round(best_p,3))\n", + "\n", + "N, m, p = 3, 3, np.arange(0, 1, .0001)\n", + "posterior = with_new_prior(p,N,m) \n", + "plt.plot(p,posterior)\n", + "\n", + "best_p = p[np.argmax(posterior)] \n", + "plt.axvline(best_p,c='k')\n", + "plt.show()\n", + "print('Best p: ', round(best_p,3))\n", + "\n", + "N, m, p = 100, 75, np.arange(0, 1, .0001)\n", + "posterior = with_new_prior(p,N,m) \n", + "plt.plot(p,posterior)\n", + "\n", + "best_p = p[np.argmax(posterior)] \n", + "plt.axvline(best_p,c='k')\n", + "plt.show()\n", + "print('Best p: ', round(best_p,3))" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -209,7 +401,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -223,7 +415,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.3" + "version": "3.9.7" } }, "nbformat": 4, diff --git a/Recitation8/bayes.ipynb b/Recitation8/bayes.ipynb index 6fa5e32..587e704 100644 --- a/Recitation8/bayes.ipynb +++ b/Recitation8/bayes.ipynb @@ -63,7 +63,7 @@ }, { "data": { - "image/png": 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\n", + "image/png": 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zBGBMHGu80M77xxu4Jgpv/tadEYkeZo5PY7edAfTKEoAxceztilN0+jRqb//QneJ8/0Cwz2cDwT2xBGBMHNtUXkdaSiILAxdQxYp5BRmcbeng2GlbIrInlgCMiVOqyuYDXq4syibRE1tfBcUfDgQ3uBrHcBdb/+rGGMc+OHmW2qbWmOr/71I0bjQjEhNsHKAXlgCMiVObD/hX/4qV6Z/BkjwJzL4onV12S4geOUoAIrJcRMpFpEJE7g9zfKaIbBGRVhH5VtD+CSLyuojsF5G9IvL1oGPfE5FqEdkReNwUmSYZY5zYXO5lZl4aeRkpbocyKOblZ7C3upFOGwjuVq8JQEQ8wMPACvzLPN4hIrNDip0Gvgb8MGR/B/BNVZ0FXArcE1L3QVVdEHhswBgzJM61dlB27HTMXP0bTnHBGM63dXLk1Dm3Qxm2nJwBLAYqVPWwqrYBTwMrgwuoap2qlgLtIftrVPX9wOuzwH4gPyKRG2P6bcuheto7NaYTwLyCDAC7M2gPnCSAfKAyaLuKfnyJi0ghsBB4N2j3vSKyS0SeEJGx3dRbIyJlIlLm9Xr7+rHGmDA2H6hjVLKHiwvD/m8XE6bmjGZUsoedlZYAuuMkAYS7PWCfOtVEZDTwO+A+VW0K7H4EmAosAGqAH4Wrq6qPqmqJqpbk5MTurxVjhoqqsqncy9KpWYxI9LgdzqDxJAizx6ezx84AuuUkAVQBE4K2C4ATTj9ARJLwf/n/p6o+27VfVWtVtVNVfcBj+LuajDGD7Mip81SduRDT3T9d5uZnsPdEkw0Ed8NJAigFikRksogkA6uA9U7eXEQE+Ddgv6r+OOTY+KDNW4E9zkI2xgxE1/TPq2Nw/n+o4vwMLrR3cthrA8HhJPZWQFU7ROReYCPgAZ5Q1b0isjZwfJ2I5AFlQDrgE5H78M8YmgfcCewWkR2Bt/xfgRk/3xeRBfi7k44CX45gu4wx3dh8wMvk7FQmZo1yO5RBVxw0EFw0Ls3laIafXhMAQOALe0PIvnVBr0/i7xoK9RbhxxBQ1Tudh2mMiYSW9k62Hq5n1SUT3Q5lSEzNGc3IJA+7qxv51KJwX1Hxza4ENiaOlB49TUu7Ly76/yEwEHyRDQR3xxKAMXFkc7mX5MQElkzJdDuUIVNsA8HdsgRgTBzZfMDLksmZjEp21PsbE+bmZ9BsVwSHZQnAmDhR3XCBg3Xn4qb7p0txvl0R3B1LAMbEiTc+nP4ZXwlgak4qKUkJ7K5q6r1wnLEEYEyc2Fzu5aKMFKbljnY7lCGV6EmwK4K7YQnAmDjQ3unj7YpTXD0jB//1mfHFPxBsawSHsgRgTBzYfryBs60dcdf902Vufgbn2zo5fOq826EMK5YAjIkDmw/U4UkQlk7LdjsUV8wNDARbN9BHWQIwJg5sPuDl4oljSU9JcjsUVxTlBtYItgTwEZYAjIlx3rOt7Klu4uoZ8dn9A/6B4Fnj0y0BhLAEYEyMi9fpn6GK8zPYd6LJBoKDWAIwJsa9Vl5HTtoIZo9PdzsUVxXnZ3CutYOj9TYQ3MUSgDExrL3TxxvlXj4xI5eEhPib/hlsrl0R/DGWAIyJYWVHz3C2tYNlM2N/8ZfeFI0bTXJigs0ECuIoAYjIchEpF5EKEbk/zPGZIrJFRFpF5FtO6opIpoi8LCIHA8+xuzq1MS55vbyOJI9wRVF8Tv8MlmQDwR/TawIQEQ/wMLAC/ypfd4jI7JBip4GvAT/sQ937gVdVtQh4NbBtjImg1z6oY8nkLEaPiJ+7f/akOD+dvdU2ENzFyRnAYqBCVQ+rahvwNLAyuICq1qlqKdDeh7orgScDr58EbulfE4wx4VSebqai7px1/wQpzs/gbGsHx043ux3KsOAkAeQDlUHbVYF9TvRUd5yq1gAEnsP+lYrIGhEpE5Eyr9fr8GONMa99UAfAJywBfMgGgj/KSQIIN3XA6fnTQOr6C6s+qqolqlqSkxPf85iN6YvXPqhjcnYqk7NT3Q5l2Jg+Ls0GgoM4SQBVwISg7QLghMP376lurYiMBwg81zl8T2NML5rbOthyuJ5lM+zXf7AkTwKz8tLYXWUJAJwlgFKgSEQmi0gysApY7/D9e6q7HlgdeL0aeMF52MaYnrxdUU9bh8+6f8KYm5/BnhONqNpAcK8JQFU7gHuBjcB+4BlV3Ssia0VkLYCI5IlIFfBXwHdEpEpE0rurG3jrB4DrReQgcH1g2xgTAa99UEdqsofFk+Nn8XenivMzONvSwbF6Gwh2NDdMVTcAG0L2rQt6fRJ/946juoH99cC1fQnWGNM7VWVTeR1XFGWTnGjXeoYKHggujPPxEfvrMCbG7K85S01ji3X/dGP6uDSSPTYQDJYAjIk5r5f751PYAHB4yYkJzByfZlNBsQRgTMx5eV8t8woyyE1PcTuUYWtufgZ7qm0g2BKAMTGktqmFHZUN3DB7nNuhDGvF+Rk0tXRwPM6vCLYEYEwMeXlfLQA3zMlzOZLhbe5FdkUwWAIwJqa8vK+WSVmjKMod7XYow9r0vNEkecQSgNsBGGMi42xLO+8cOsUNs8chEt+Lv/RmRKKHGXlpcT8TyBKAMTFiU7mX9k617h+HivMz2FPdFNcDwZYAjIkRf9xXS1ZqMosm2tpKTszNz6DxQjuVpy+4HYprLAEYEwPaOnxs+qCOa2fl4onztX+dKrZbQ1sCMCYWbD1cz9nWDm6Ybd0/Ts3IS4v7gWBLAMbEgD/uO8nIJI+t/dsHIxI9TB8X3wPBlgCMiXI+n/Lyvlqunp5DSpLH7XCiSnF+Brvj+IpgSwDGRLld1Y3UNrVyvV3922ddA8FVZ+JzINgSgDFRbsPuGhIThGtn2c3f+ireB4IdJQARWS4i5SJSISL3hzkuIvJQ4PguEVkU2D9DRHYEPZpE5L7Ase+JSHXQsZsi2jJj4oCq8uKuGq4oymbMqGS3w4k6M/LSSEyI34HgXheEEREP8DD+VbuqgFIRWa+q+4KKrQCKAo8lwCPAElUtBxYEvU818FxQvQdV9YcRaIcxcWlXVSPVDRf4+nVFbocSlVKS4nsg2MkZwGKgQlUPq2ob8DSwMqTMSuCX6rcVGNO14HuQa4FDqnpswFEbYwB4cXcNSR7hRpv+2W/FcXxraCcJIB+oDNquCuzra5lVwFMh++4NdBk9ISJ2+aIxfdDV/XP5tGwyRiW5HU7UmluQwZnmdqob4m8g2EkCCHdZYWiq7LGMiCQDnwR+E3T8EWAq/i6iGuBHYT9cZI2IlIlImdfrdRCuMfFhZ6D750+KQ0+2TV90DQTHYzeQkwRQBUwI2i4ATvSxzArgfVWt7dqhqrWq2qmqPuAx/F1NH6Oqj6pqiaqW5OTkOAjXmPiwIdD9Y1f/DszMOB4IdpIASoEiEZkc+CW/ClgfUmY9cFdgNtClQKOq1gQdv4OQ7p+QMYJbgT19jt6YOPXh7B/r/hmwlCQPRePS2F3d5HYoQ67XWUCq2iEi9wIbAQ/whKruFZG1gePrgA3ATUAF0Ax8sau+iIzCP4PoyyFv/X0RWYC/q+homOPGmG50df/cZ7N/IqI4P51X9tehqnG1lkKvCQBAVTfg/5IP3rcu6LUC93RTtxnICrP/zj5Faoz50Iu7Tlj3TwQV52fwTFkVJxpbyB8z0u1whoxdCWxMlOn0Ket3nuCqohzr/omQuV1XBFfF1ziAJQBjoszWw/XUNrVy66LQmdamv2aNT8eTIHE3E8gSgDFR5rnt1aSNSOS6WXbzt0hJSfJQlDs67mYCWQIwJopcaOvkpT0nWVGcZ7d+jrC5cXhFsCUAY6LIy/trOdfawS0Lrfsn0orzM6g/30ZNY4vboQwZSwDGRJHnt1czPiOFSyd/bGKdGaC5cXhraEsAxkSJ+nOtbD7g5ZMLLiLBFn6PuNnj00mQ+LolhCUAY6LE73fV0OlTbrXun0ExMtlDUW6anQEYY4af326rYtb4dGbmpbsdSsyKt4FgSwDGRIG9JxrZXd3I7SUFbocS0+YVZHDqXPwMBFsCMCYKPFNaSXJigs3+GWQLJ44BYNuxM+4GMkQsARgzzLW0d/Lc9mqWz8mzdX8H2azx6YxM8lgCMMYMDy/tOUlTSwerLpnQe2EzIEmeBOZPyLAEYIwZHn5dWsnEzFFcOsXm/g+FkkmZ7Ktpormtw+1QBp0lAGOGsaOnzrPlcD2fKSmwuf9D5OJJY+n0KTsqG9wOZdBZAjBmGHvqveN4EoTbLrbun6GyaOJYAN6Pg24gRwlARJaLSLmIVIjI/WGOi4g8FDi+S0QWBR07KiK7RWSHiJQF7c8UkZdF5GDgeWxkmmRMbLjQ1snTpZXcMHsceRkpbocTNzJGJVGUO5oySwAgIh7gYfwLu88G7hCR2SHFVgBFgcca4JGQ48tUdYGqlgTtux94VVWLgFcD28aYgP/aeYLGC+2sXlrodihxp6RwLO8fO4PPF9sXhDk5A1gMVKjqYVVtA54GVoaUWQn8Uv22AmNCFn0PZyXwZOD1k8AtzsM2JrapKr945ygzxqWxZHKm2+HEnUUTx9LU0kGF95zboQwqJwkgH6gM2q4K7HNaRoE/isg2EVkTVGacqtYABJ5zw324iKwRkTIRKfN6vQ7CNSb6vX/8DPtqmrhr6aS4WqR8uCgp9CfdWJ8O6iQBhPvrCz0v6qnM5aq6CH830T0iclUf4kNVH1XVElUtycnJ6UtVY6LWk+8cIy0lkVsW2JW/bijMGkVWajJlRy0BVAHBUxAKgBNOy6hq13Md8Bz+LiWA2q5uosBzXV+DNyYW1Ta1sGF3DX928QRSRyS6HU5cEhEWTRpL2bHTbocyqJwkgFKgSEQmi0gysApYH1JmPXBXYDbQpUCjqtaISKqIpAGISCpwA7AnqM7qwOvVwAsDbIsxMeGJt4/gU2X10kluhxLXlkzO5Fh9MzWNF9wOZdD0mgBUtQO4F9gI7AeeUdW9IrJWRNYGim0ADgMVwGPAVwL7xwFvichO4D3gRVV9KXDsAeB6ETkIXB/YNiauNbW086utx7mpeDyTslLdDieuXTbVf+X1lkP1LkcyeBydX6rqBvxf8sH71gW9VuCeMPUOA/O7ec964Nq+BGtMrPvVu8c529rB2qunuh1K3JuVl86YUUlsOVTPpxbF5m247UpgY4aJ1o5OnnjrCFdMy/5wfVrjnoQEYcnkTLYcjt0zAEsAxgwTL2w/Qd3ZVr589RS3QzEBl03JourMBSpPN7sdyqCwBGDMMNDpU9a9cYg5F6VzxbRst8MxAZdN9f9bxOpZgCUAY4aB9TurOew9zz3LptmFX8PI9HGjyUpNZmuMDgRbAjDGZR2dPv71lYPMGp/O8jl5bodjgogIl07JYsvh+phcKN4SgDEue257NUfrm/nGdUV2z/9h6NKpWdQ0tnCsPvbGASwBGOOi9k4fD712kLn56Vw/e5zb4ZgwLg9cD/BmxSmXI4k8SwDGuOjXpZVUnr7AN66bbn3/w9Tk7FQmZI5kc3ns3a3GEoAxLjnb0s5PXjnA4smZfGJm2JvhmmFARLhmei7vHKqntaPT7XAiyhKAMS5Zt/kQp8618Z0/mWW//oe5a2bk0NzWSemR2Lo7qCUAY1xwouECj795hFsWXMS8gjFuh2N6cdnULJI9CWw+EFvdQJYAjHHBDzaWo8C3bpzhdijGgVHJiSyZksmm8thalMoSgDFDbMuhep7bXs2aK6dQMHaU2+EYh66ensPBunNUN8TO7aEtARgzhNo6fHzn+d1MyBzJPcumuR2O6YNrZvgH6l/7IHa6gSwBGDOEHnvzMIe85/m7T85lZLLH7XBMH0zNSWVydip/3HvS7VAixlECEJHlIlIuIhUicn+Y4yIiDwWO7xKRRYH9E0TkdRHZLyJ7ReTrQXW+JyLVIrIj8Lgpcs0yZvg5euo8D716kOVz8lhm0z6jjoiwfG4eWw7V09Dc5nY4EdFrAhARD/Aw/kXdZwN3iMjskGIrgKLAYw3wSGB/B/BNVZ0FXIp/Ufjgug+q6oLA4yMLzhgTSzp9yrd+s5PkxAT+9pOh//uYaLF8Th4dPuXV/bHRDeTkDGAxUKGqh1W1DXgaWBlSZiXwS/XbCowRkfGqWqOq7wOo6ln8S0rmRzB+Y6LC428epuzYGf7PJ+cwPmOk2+GYfppXkMH4jBT+sCc2uoGcJIB8oDJou4qPf4n3WkZECoGFwLtBu+8NdBk9ISJjw324iKwRkTIRKfN6Y2sKlokPB2rP8qM/HuDGOeO4daH9/olmIsKNc/J446CX860dboczYE4SQLhLFEPvi9pjGREZDfwOuE9VmwK7HwGmAguAGuBH4T5cVR9V1RJVLcnJyXEQrjHDx4W2Tr721HbSUhL5x1uL7YrfGLBibh5tHT5e2V/rdigD5iQBVAETgrYLgBNOy4hIEv4v//9U1We7Cqhqrap2qqoPeAx/V5MxMeVvXthDee1Zfnz7ArJHj3A7HBMBlxRmkj9mJM++X+12KAPmJAGUAkUiMllEkoFVwPqQMuuBuwKzgS4FGlW1Rvw/d/4N2K+qPw6uICLjgzZvBfb0uxXGDEPPlFby221VfHXZNK6ebmevsSIhQbh1YT5vHvRS19TidjgD0msCUNUO4F5gI/5B3GdUda+IrBWRtYFiG4DDQAX+X/NfCey/HLgT+ESY6Z7fF5HdIrILWAZ8I2KtMsZlOyob+JsX9nD5tCy+ft10t8MxEXbronx8Ci/sCO0MiS6JTgoFpmhuCNm3Lui1AveEqfcW4ccHUNU7+xSpMVGi8nQzX3qylNz0ETy0aiEeW+Ur5kzNGc38CWN4dns1f3HVFLfD6Te7EtiYCGpqaefPf1FKa4ePn3/hErKs3z9m3bYon/01TeysbHA7lH6zBGBMhDS3dfClX5Rx5NR5/t/nL2ZabprbIZlBdMvCfFKTPTz5zlG3Q+k3SwDGREBLeydrfrmNsmOnefD2BSydlu12SGaQpaUk8emLC/j9rhpOnWt1O5x+sQRgzAC1tHfyl/+xjbcqTvH92+Zz8/yL3A7JDJG7LiukrdPH0+8ddzuUfrEEYMwANDa3c+e/vcumA17++VPF3HZxgdshmSE0LXc0VxZl88stx2hpj771gi0BGNNPNY0XuP3RLeyobOCndyzkjsUT3Q7JuGDt1VOpO9vKM2WVvRceZiwBGNMP7x05zc0/fYvK0838/AuL+dN51u0Tr5ZOzeKSwrE8sukQrR3RdRZgCcCYPlBVfvH2ET772FbSUpJ4/p7LuaLIBnzjmYhw33XTqWls4VfvRtdYgKMLwYwxUNvUwv/47S42H/By7cxcfnz7AjJGJrkdlhkGlk7N4sqibB58+QArF+STmZrsdkiO2BmAMb3w+ZRflx7nxp+8wbtH6vm7lXN4fHWJffmbD4kIf3vzbJrbOvnBxnK3w3HMzgCM6cHOyga+u34vOysbKJk0ln+5bR5Tc0a7HZYZhqblpvGFpYU8/tYR/nTeeC6PgmtB7AzAmDD21zTx5X8vY+XDb1N95gI//sx8frP2MvvyNz365g0zmJKTyjef2RkV6wbbGYAxAT6f8vahUzz5zjFe2V9L2ohEvn5tEXdfOZn0FOvuMb0bmezhX29fyK0/e5uvPrWdJ75wCUme4fs72xKAiXvVDRfYsKuGp947zuFT58lKTeZr1xZx9+WTyRhlX/ymb4oLMvjHW+fy7d/t5m+e38M/3VpMwjC9I6wlABN3VJVD3nNsKveyYXcN7x9vAGDhxDE8ePt8bioez4hEj7tBmqh2+yUTqTpzgZ++VkF7p/LAp4uH5ZmAJQAT81o7Ojlw8hy7qhvYdvQMbx86RW2T/+Zds8en89c3zuBPisdTmJ3qcqQmlvzV9dNJ8iTw45cPUHm6mR99Zj4TMke5HdZHOEoAIrIc+FfAAzyuqg+EHJfA8ZuAZuALqvp+T3VFJBP4NVAIHAU+o6pnBt4kE49UlaaWDo7XN3Ok/jxHT/kfB+vO8cHJJto7FYDM1GSWTs3iimnZXD4te9j9D2lih4jwtWuLmJg5iu88v4flP3mDu6+cwp9fXsiYUcPjOoFeE4CIeICHgevxL/5eKiLrVXVfULEVQFHgsQR4BFjSS937gVdV9QERuT+w/e3INc0Md6pKp09p71TaOny0dfof7R0+2jt9tHb4aG7r5FxrO2dbOj58nGttp+lCB96zrXjPtVJ3tgXv2VZa2n0fef+LMlKYkjOau6+YQnF+BvMKMigYOxL/7xVjhsYtC/O5eNJYHvjDBzz06kHWbTrE1TNyWDo1i/kTxjAxcxRZqcmu/F06OQNYDFSo6mEAEXkaWAkEJ4CVwC8DS0NuFZExgUXfC3uouxK4JlD/SWATg5QAHnr1IOt3+tfu9If437TbjY9u9lRPP1ZPuz8Wsh3x9+/xs5zWcxbLQP5bdviUtk5ft/89euJJENJSEskePYLctBFcPHEsOWkjyE1LYULmSAqzU5mUmcrIZOvHN8PDhMxRPPy5RXz1ZBPPlFaxce9JXt5X++HxJI8wMsnDqOREUpISEBH/Wrry32vq/vOn5rF4cmZE43KSAPKB4NvcVeH/ld9bmfxe6o5T1RoAVa0RkdxwHy4ia4A1ABMn9u9ui7lpI5gxLmh1ppBEG7wZmoU/eqx/9T7+ef+9I7haaP7/6DHp/tjHfjiEf//Qz/j4Maf1uv+l4jTmRI+Q7Ekg2ZNAUmLws5CcmECSx/9ITU4kLSWR0Sn+57QRSR/+D2JMtJmZl853b57Nd2+eTXXDBfadaKL6TDMnm1ppae+kua2DlnYfiv+H0oe/jxRSR0T+B42TBBDu/7TQ323dlXFSt0eq+ijwKEBJSUk/fi/CqsUTWWW36jXGDCP5Y0aSP2akqzE4mZdUBUwI2i4ATjgs01Pd2kA3EYHnOudhG2OMGSgnCaAUKBKRySKSDKwC1oeUWQ/cJX6XAo2B7p2e6q4HVgderwZeGGBbjDHG9EGvXUCq2iEi9wIb8U/lfEJV94rI2sDxdcAG/FNAK/BPA/1iT3UDb/0A8IyI3A0cB/4soi0zxhjTI0fXAajqBvxf8sH71gW9VuAep3UD++uBa/sSrDHGmMgZftcmG2OMGRKWAIwxJk5ZAjDGmDhlCcAYY+KUhF7OP5yJiBc41s/q2cCpCIYTDazN8cHaHB8G0uZJqpoTujOqEsBAiEiZqpa4HcdQsjbHB2tzfBiMNlsXkDHGxClLAMYYE6fiKQE86nYALrA2xwdrc3yIeJvjZgzAGGPMR8XTGYAxxpgglgCMMSZOxVwCEJHlIlIuIhWBtYZDj4uIPBQ4vktEFrkRZyQ5aPPnAm3dJSLviMh8N+KMpN7aHFTuEhHpFJHbhjK+SHPSXhG5RkR2iMheEdk81DFGmoO/6wwR+S8R2Rlo8xfdiDOSROQJEakTkT3dHI/s95eqxswD/y2nDwFTgGRgJzA7pMxNwB/wr1Z2KfCu23EPQZuXAmMDr1fEQ5uDyr2G/260t7kd9yD/G4/Bv9b2xMB2rttxD0Gb/xfwL4HXOcBpINnt2AfY7quARcCebo5H9Psr1s4APlzAXlXbgK5F6IN9uIC9qm4Fuhawj1a9tllV31HVM4HNrfhXZotmTv6dAb4K/I7oX23OSXs/CzyrqscBVDUe2qxAmvgXiB6NPwF0DG2YkaWqb+BvR3ci+v0Vawmgu8Xp+1ommvS1PXfj/wURzXpts4jkA7cC64h+Tv6NpwNjRWSTiGwTkbuGLLrB4aTN/xeYhX+Z2d3A11XVNzThuSai31+OFoSJIgNZwD5aOW6PiCzDnwCuGNSIBp+TNv8E+Laqdvp/IEY1J+1NBC7Gv8jSSGCLiGxV1QODHdwgcdLmG4EdwCeAqcDLIvKmqjYNcmxuiuj3V6wlgIEsYB+tHLVHROYBjwMr1L8aWzRz0uYS4OnAl382cJOIdKjq80MSYWQ5/bs+parngfMi8gYwH4jWBOCkzV8EHlB/53iFiBwBZgLvDU2Irojo91esdQENZAH7aNVrm0VkIvAscGcU/yIM1mubVXWyqhaqaiHwW+ArUfrlD87+rl8ArhSRRBEZBSwB9g9xnJHkpM3HCSwrKyLjgBnA4SGNcuhF9Psrps4AdAAL2Ecrh23+LpAF/Czwi7hDo/hOig7bHDOctFdV94vIS8AuwAc8rqphpxJGA4f/xn8P/EJEduPvGvm2qkb1LaJF5CngGiBbRKqAvwWSYHC+v+xWEMYYE6dirQvIGGOMQ5YAjDEmTlkCMMaYOGUJwBhj4pQlAGOMiVOWAIwxJk5ZAjDGmDj1/wHvo5ZIWgAC0QAAAABJRU5ErkJggg==\n", 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\n", 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\n", 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" ] @@ -136,7 +136,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 6, "metadata": {}, "outputs": [ { @@ -148,7 +148,7 @@ }, { "data": { - "image/png": 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\n", 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+wh/e387UEQO4dFSK1XHUabgoP5kAgaWbDlodxWm00JU6RTa74daFJUSGBHLvtBFWx1GnKSEqlKKMeP6zWQtdKb/14vIK1u1p4O7LhpMUHWp1HHUGLhqezJb9h6msb7E6ilNooSt1Cipqm3lkaRkXDOvPZQWpVsdRZ+jC/GQAnzlK10JXykF2u+H2hSWEBgXwwHRd7NkXZCREkpcczXubD1gdxSm00JVy0N9X7mbVrnp+8818kmPCrI6jnOTC/GRW7zrEoWbvX8lIC10pB1TWt/DQv7dybm4SM8emWR1HOdFFw5Ox2Q3Ltnr/AtJa6EqdhDGG218rIUCE312hQy2+ZuTAWAbEhPnEsIsWulIn8fKqSlbsqONXlwwjNS7c6jjKyUSEC/OT+XhbLW2dNqvjnBEtdKVOYG9DKw8u2cKknARmjUs/+Rcor3T+sP60dtr4vKLe6ihnRAtdqeMwxvDLRaXYjeH3V4zSoRYfNmFwAqFBAXxU5t3j6FroSh3Hv9ZU8fG2Gm6fMpT0+Air4ygXCgsOZEJ2Ah+VeffSmFroSvXh4OE27ntnM+Oy4pk9PsPqOMoNJucmUVHbzK7aZqujnDYtdKWOYYzh16+X0mmz8/CMUQQE6FCLP5jcs3SgNw+7aKErdYw31+/j/S3V/OKiPDITI62Oo9wkMzGSrMRIPtrmvcMuWuhK9VJ9pI27397EmEFxXD8py+o4ys3OzU3isx11Xnv5oha6Ur389s1NtHTYeHhmAYE61OJ3Jucl0d5l57Od3rnGvRa6Uj0Wl+zn3Y0H+NkFueT0j7I6jrLA+MEJhAUH8F8vvdpFC10poK6pnbve3MiotFhu/JoOtfirsOBAJgxO4EMvPTGqha4UcPfbmznc1skjMwsICtRfC382Oa8/u+tavPLyRX3nKr+3dNMB3t6wjx+dP4S8AdFWx1EWO2dIIgDLd9RanOTUaaErv9bQ0sGdb2wkPyWGmydnWx1HeYDBiZGkxIaxvFwLXSmvcu87mznU3MHDM0cRrEMtiu7ZFydmJ7JiRx02u7E6zinRd7DyW8u2HmTR2r3cPDmbEQNjrY6jPMg5QxJoaOlk877DVkc5JVroyi8dbuvkV4s2kpscxdzzc6yOozzMpGzvHEfXQld+6cHFW6g+0sYjMwsIDQq0Oo7yMP1jwshNjvK6cXQtdOV3Ptlew4LVldz49cEUpMdZHUd5qEk5iayqqPeqaQC00JVfaWrv4o7XShmcFMnPLsi1Oo7yYOfkJNLeZWft7kNWR3GYFrryKw+9u5V9ja08MnMUYcE61KKOb1xWPIEBwqdeNOyiha78xmc76vj7yt3cMCmLsRnxVsdRHi46LJjC9DivGkfXQld+oaWji9te20BGQgS/uCjP6jjKS0zKSaR0byONLZ1WR3GIFrryCw//u4yqQ608MrOA8BAdalGOmTA4AbuB1bvqrY7iEC105fNW7qzjpRW7+N6ETMZl6VCLctzoQXGEBAbweYV3zI+uha58WktHF7ctLCEjIYLbpuhQizo1YcGBFKbH8XmFHqErZbmH/13GnvoWHp4xioiQIKvjKC909uB4Nu5t5Eib54+ja6Ern/V5z1DLdRMzOXtwgtVxlJc6O6t7HL3YC65Hd6jQRWSKiJSJSLmI3NHH89eISEnPnxUiUuD8qEo5rrXDxm2vlTAoXoda1JkZkxFHUICwyguGXU5a6CISCDwNTAXygVkikn/MZhXAucaYUcB9wHxnB1XqVDyytIzddS08pEMt6gxFhAQxKi2Wz71g4WhHjtDHAeXGmJ3GmA5gATCt9wbGmBXGmC/+PbISSHNuTKUct6qinhdXVHDthAwmZOtQizpzZw9OoKSqkZaOLqujnJAjhT4QqOz1eVXPY8fzfeDdvp4QkZtEpFhEimtqvHNVbeXZWjts3LZwA2n9wrl9ylCr4ygfcXZWPF12w9rdDVZHOSFHCl36eKzPZTxE5Dy6C/32vp43xsw3xhQZY4qSkpIcT6mUgx59r4xdPUMtkaE61KKcoyize14XT78e3ZF3fBWQ3uvzNGDfsRuJyCjgOWCqMcaz91r5pOJd9bywvILZ4zOY2LNAgVLOEBUaxIjUGI+/Ht2RI/TVwBARyRKREOBq4K3eG4jIIGARMNsYs835MZU6sdYOG7cuLGFgXDh3TNWhFuV8Zw9OYH1lg0fPj37SQjfGdAFzgaXAFuBVY8wmEZkjInN6NrsLSACeEZH1IlLsssRK9eH3726horaZh2fqUItyjXGZ8XR02SmparQ6ynE59M43xiwBlhzz2LxeH/8P8D/OjaaUYz7dXstfP+ueFleHWpSrjMnoB8Ca3Yc8dk4gvVNUebXG1k5uXbiB7KRIvYFIuVR8ZAiDkyJZs9tzx9G10JVXu+etTVQfaeeJqwp1BSLlckUZ/Viz+xDG9Hmhn+W00JXXerd0P4vW7WXueTmMSouzOo7yA2Mz+nGopZOdtc1WR+mTFrrySjVH2vnV66WMHBjL3PNzrI6j/MTYXuPonkgLXXkdYwy/XFRCc4eNJ64qIDhQ38bKPQYnRhEXEcyaXVroSjnFv9ZU8f6Wam6fMpSc/tFWx1F+JCBAGDOoH2v2aKErdcYq61u49+3NjB8cz/UTM62Oo/zQ2Ix+lFc30dDSYXWUr9BCV17DZjfcunADAI/MLCAgoK9phpRyrS/G0dd64FG6FrryGvM/3snKnfXc9a180uMjrI6j/FRBWveCF8UeOI6uha68QmlVI4+9V8alI1P49lidbl9ZJzwkkOGpMR55pYsWuvJ4LR1d/GTBOpKiQ3lw+khEdKhFWWtMRj82VDXQabNbHeVLtNCVx7vvnc1U1DXz+JWFxEYEWx1HKYoy4mnrtLN532Gro3yJFrryaP/eeICXV1Uy59xsXU5OeYzCQXEAbKhqsDTHsbTQlcc60NjGHYtKGJUWy88uyLU6jlJHpcaGkRgVyvrKBqujfIkWuvJIdrvh56+up73TzpNXjyYkSN+qynOICIXpcVroSjniL5/sZMWOOu6+LJ+sxEir4yj1FYXpseysaaaxtdPqKEdpoSuPU1rVyKPvlTF1xACuLEo/+RcoZYHC9O4bjEo8aBxdC115lCNtncx9eS2JUaH87gq9RFF5rpFpsQBs8KBhF118UXkMYwx3LCql6lArr9w0nriIEKsjKXVcseHBZCdFetQ4uh6hK4/xz1V7WFyyn/+9KJeiTM9cs1Gp3grS41hf2egxKxhpoSuPsHnfYe55ezNfz01iztezrY6jlEMK0+OobWpnX2Ob1VEALXTlAZrau5j7z7XEhQfz+JU6i6LyHoXpcQCs39NgaY4vaKErSxljuPP1UnbVNfPHWaNJjAq1OpJSDhs6IIaQoACPuWNUC11Z6l/FVbyxfh8/vSCX8YP11n7lXUKCAhieGqNH6EptPXCYu97ayKScBH54ni70rLxTQVocpXsb6fKAmRe10JUlGls7mfP3NcSEBfPEVYUE6ri58lKjB8XR2mlj28Emq6NooSv3s9sN//vqeqoOtfLMNWPoHx1mdSSlTtvIgd03GJXubbA2CFroygLP/ncH72+p5s5Lh+n15srrZSZEEhUaxMa91s+NroWu3OrjbTU8+l4Zlxem8r2JmVbHUeqMBQQIw1NjKN3baHUULXTlPpX1Lfx4wTrykqN5UOdpUT5k5MBYtuw/bPmJUS105RZtnTZu+cdabHbDvO+OJSJEpxFSvmNkWiztXXa2V1t7YlQLXbmcMYbfvLGR0r2NPH5lIZk6v7nyMSOOnhi1dthFC1253AvLd/GvNVX8+PwcLsxPtjqOUk6XdfTEqBa68mH/3VbDA4s3c/HwZH6q64IqHxUQIOR7wIlRLXTlMjtqmpj7z7XkJkfz+JWFOumW8mmecGJUC125RGNLJzf+tZiQwACe+14RkaF6ElT5tpEDY2nrtFNeY92JUS105XRdNjtzX15L5aEW5s0eS1q/CKsjKeVyR0+MVlk37KKFrpzugSVb+GR7LfdfPoKz9E5Q5ScGJ0YSGRJo6YlRhwpdRKaISJmIlIvIHX08P1REPhORdhH5hfNjKm/x0vIKXly+ixsmZXHVWYOsjqOU23jCidGTFrqIBAJPA1OBfGCWiOQfs1k98GPgUacnVF7jvU0HuOedzVyUn8yvLx1mdRyl3G7EwFg2W3hi1JEj9HFAuTFmpzGmA1gATOu9gTGm2hizGuh0QUblBTZUNvDjBesYlRbHk1eP1ulwlV/64sTojppmS17fkUIfCFT2+ryq57FTJiI3iUixiBTX1NSczrdQHqiyvoXv/3U1SdGhPHdtEeEhgVZHUsoSX0ylu2mfNcMujhR6X4da5nRezBgz3xhTZIwpSkpKOp1voTxMY0sn1724ik6b4cXrxpEUrWuCKv+VlRhJaFAAW/ZbM5WuI4VeBaT3+jwN2OeaOMqbtHbYuPFvxVTWtzJ/9lhy+kdZHUkpSwUFBpA3IJrNHlzoq4EhIpIlIiHA1cBbro2lPF2nzc4P/7mW1bvrefyqAs7WBZ6VAmDYgBi27D+CMac1kHFGTlroxpguYC6wFNgCvGqM2SQic0RkDoCIDBCRKuDnwJ0iUiUiMa4MrqxjtxtuW1jCsq3V3H/5CL45KtXqSEp5jPzUGOqbOzh4uN3tr+3Q/djGmCXAkmMem9fr4wN0D8UoH2eM4d53NvP6ur3cenEe15ydYXUkpTzKsJTuY9kt+w8zINa96+XqnaLqlDy1rJyXVuzif87J4pbJ2VbHUcrjDE2JBrBkHF0LXTnspeUVPP6fbcwYk8avLhmmS8gp1YeYsGDS48O10JXn+vvK3dz9dve85g/NGKlT4Sp1AvkpMWzZp4WuPNA/P9/Db97YyAXD+vPUrDEEBerbRqkTGZYSQ0VdMy0dXW59Xf3NVCf06upKfvV6KeflJfH0NWMICdK3jFInk58SgzGw9cARt76u/naq41q4porbF5Vwbm4Sz353LKFBeku/Uo7ofaWLO+kyMqpPC1bt4Zevl3JOTiJ/nj2WsGAtc6UcldYvnOiwIDa7eRxdC119xXOf7OT+xVs4NzeJed/VMlfqVIkIw1Ji3H6ErkMu6ihjDE++v537F29h6ogB/EVnTlTqtOWnxLD1wBHsdvdNAaCFroDuMn9wyRaeeL/7OvOnZo3WE6BKnYH8lBhaOmzsrm9x22vqb6yiy2bnl4tK+csnFVw7IYNHZo7SSxOVOkP5qd0nRt05jq6/tX6uub2LG/9WzILVlcw9L4d7LhuuNw0p5QQ5/aMIDBC3jqPrSVE/VnOknRteWs2mfY3cf/kIvjteJ9pSylnCggPJTorUQleut6OmieteXEXtkQ7mzy7igvxkqyMp5XPyBsSwbs8ht72eDrn4oRXltcx4dgUt7TZevmm8lrlSLpKXHEXVoVaa2t0zBYAWuh8xxvDS8gpmv7CKpKhQFt0ykcL0OKtjKeWz8gZ0nxjdftA9UwDokIufaO+ycdcbm3iluJILhiXzxFUFRIcFWx1LKZ+Wl9w9N3rZgSOMHtTP5a+nhe4Hqg+3ccs/1lK8+xA/Oj+Hn12Qq1eyKOUGaf3CiQgJpEyP0JUzfLq9lp++so7mdht/+s5oXf9TKTcKCBCGJEezTQtdnQmb3fDkB9t5atl2cpKiePnGMQzp+eefUsp98pKjWLa12i2vpSdFfVD1kTZmP/85f/xgO1eMTuPNuZO0zJWySG5yNLVNHdQ2tbv8tfQI3ccsKd3Pr18vpbXTxiMzR/HtonSrIynl14b2XOmy7eAREqNCXfpaWug+orGlk9++tZE31u+jIC2Wx64sJKd/lNWxlPJ7uQO6fw/LDhxhYnaiS19LC90HfLythtsWllDb1M7PLsjlh+dl6+RaSnmIpKhQ+kUEu+XEqBa6F6s50s79izfz5vp95PSPYv61YxmVFmd1LKVULyJC3oBoytywvqgWuhey2w0LVlfy+3e30NZp5yffGMLNk7N1ZSGlPFRecjSvrd2LMQYR190DooXuZdZXNnDv25tYu6eB8YPjeWD6SLKTdKxcKU+WOyCapvYu9ja0ktYvwmWvo4XuJfY2tPLwv7fy5vp9JEaF8MjMUcwcm+bSv+2VUs4xdED3ZcPbDh7RQvdnja2dzP94B899UoEBfnheNnPOzdZ5WJTyIkOOzunSxPlDXTe7qRa6h2ps7eTF5RU8/2kFR9q6uLwwlVunDGVgXLjV0ZRSpygmLJjU2DDKDrh2sQstdA/T2NLJiyv+r8gvyk/mx98YwoiBsVZHU0qdgbwB0ZQdbHLpa2ihe4gdNU28tHwXC9dU0dpp4+Lh3UU+PFWLXClfkDsgmuXldXTZ7C67T0QL3UI2u+HT8lr+umIXy7ZWExIYwLTCVG44J4thKTFWx1NKOVFu/2g6bHZ217e47Mo0LXQL7K5rZuGaKhauqWJ/YxuJUSH89IIhXHN2BknRrp3rQSlljSHJ3SW+/WCTFrq3O3i4jX9vPMDikv2s2lVPgMDXhiRx56X5XJDfn9AgvSlIKV/2RYmXVx8BBrjkNbTQXcQYQ0VtM8u2VvPuxgOs2d298nd2UiS3XpzHFWMGkhKrV6wo5S8iQ4NI6xfONheeGNVCd6K6pnY+r6jnk+01fLytlr0NrQAMS4nh5xfmMnXEAJ2XXCk/NqR/FNurtdA9TnuXje0Hm1i35xBr9zSwds8hdte1ABAdGsTEnARunpzN14ckMSjBdXeGKaW8x5DkaJbvqMNmNwS6YF1fhwpdRKYATwKBwHPGmN8f87z0PH8J0AJcZ4xZ6+SsbmeMoaGlk6pDrVQeamH7wSbKDh6m7MARdtW1YLMbABKjQhkzKI5Z4wZxVmY/CtLidPpapdRX5PSPoqPLTmV9C5mJkU7//ictdBEJBJ4GLgSqgNUi8pYxZnOvzaYCQ3r+nA082/Nfj2GMobXTRkuHjdYOG80dXbR02Djc2kl9cwd1TR3UNXdQ39xOXVMHVYdaqTrUQnOH7ej3EIGM+Ahyk6O5ZGQKucnRFKbHkdYvXOdUUUqd1JCeRWe2HTxiTaED44ByY8xOABFZAEwDehf6NOBvxhgDrBSROBFJMcbsd3bgj8qque+dzRgDdmOwm+7ruc0XH5teH9sNdmPosnWX+ckEBQjxkSEkRIWSHh/BhOwE0vqFkx4fwcC4cAYnRRIRoqNUSqnT88UqYturm7houPO/vyPtNBCo7PV5FV89+u5rm4HAlwpdRG4CbgIYNGjQqWYFIDosmKEDYggIEAIEAkQQgUARAkQICOh+rPtP9+TyQQFCREgg4SFBRIYGEh4cSERIEBEhgUSHBZEQFUp8ZAgxYUF6pK2UcpnosGCmFaa6bE4mRwq9r4Yzp7ENxpj5wHyAoqKirzzviLEZ/Rib0e90vlQppSz35NWjXfa9HTlzVwX0Xjo+Ddh3GtsopZRyIUcKfTUwRESyRCQEuBp465ht3gKulW7jgUZXjJ8rpZQ6vpMOuRhjukRkLrCU7ssWXzDGbBKROT3PzwOW0H3JYjndly1e77rISiml+uLQJRvGmCV0l3bvx+b1+tgAP3RuNKWUUqdC735RSikfoYWulFI+QgtdKaV8hBa6Ukr5COk+n2nBC4vUALtP88sTgVonxvEGus/+QffZP5zJPmcYY5L6esKyQj8TIlJsjCmyOoc76T77B91n/+CqfdYhF6WU8hFa6Eop5SO8tdDnWx3AArrP/kH32T+4ZJ+9cgxdKaXUV3nrEbpSSqljaKErpZSP8OhCF5EpIlImIuUickcfz4uI/LHn+RIRGWNFTmdyYJ+v6dnXEhFZISIFVuR0ppPtc6/tzhIRm4jMdGc+V3Bkn0VksoisF5FNIvJfd2d0Ngfe27Ei8raIbOjZZ6+etVVEXhCRahHZeJznnd9fpmcNTk/7Q/dUvTuAwUAIsAHIP2abS4B36V4xaTzwudW53bDPE4F+PR9P9Yd97rXdMrpn/ZxpdW43/Jzj6F63d1DP5/2tzu2Gff4V8FDPx0lAPRBidfYz2OevA2OAjcd53un95clH6EcXpzbGdABfLE7d29HFqY0xK4E4EUlxd1AnOuk+G2NWGGMO9Xy6ku7VobyZIz9ngB8BrwHV7gznIo7s83eARcaYPQDGGG/fb0f22QDR0r2wbxTdhd7l3pjOY4z5mO59OB6n95cnF/rxFp4+1W28yanuz/fp/hvem510n0VkIDAdmIdvcOTnnAv0E5GPRGSNiFzrtnSu4cg+/wkYRvfylaXAT4wxdvfEs4TT+8uhBS4s4rTFqb2Iw/sjIufRXejnuDSR6zmyz38AbjfG2LoP3ryeI/scBIwFvgGEA5+JyEpjzDZXh3MRR/b5YmA9cD6QDfxHRD4xxhx2cTarOL2/PLnQ/XFxaof2R0RGAc8BU40xdW7K5iqO7HMRsKCnzBOBS0SkyxjzhlsSOp+j7+1aY0wz0CwiHwMFgLcWuiP7fD3we9M9wFwuIhXAUGCVeyK6ndP7y5OHXPxxceqT7rOIDAIWAbO9+Gitt5PuszEmyxiTaYzJBBYCt3hxmYNj7+03ga+JSJCIRABnA1vcnNOZHNnnPXT/iwQRSQbygJ1uTeleTu8vjz1CN364OLWD+3wXkAA803PE2mW8eKY6B/fZpziyz8aYLSLyb6AEsAPPGWP6vPzNGzj4c74PeElESukejrjdGOO10+qKyMvAZCBRRKqA3wLB4Lr+0lv/lVLKR3jykItSSqlToIWulFI+QgtdKaV8hBa6Ukr5CC10pZTyEVroSinlI7TQlVLKR/x/kP8fjgcIKycAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] @@ -160,8 +160,7 @@ } ], "source": [ - "N = 4\n", - "m = 3\n", + "N, m = 4 , 3\n", "posterior = with_uniform_prior(p,N,m) # calculating P(p|D)\n", "plt.axvline(0.75,c='k') # plotting the p=0.75 line\n", "plt.plot(p,posterior)\n", @@ -187,7 +186,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -198,7 +197,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 8, "metadata": {}, "outputs": [ { @@ -210,7 +209,7 @@ }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -224,9 +223,9 @@ "source": [ "N = 20\n", "m = 15\n", - "posterior = with_new_prior(p,N,m) # calculating P(p|D)\n", + "posterior = with_new_prior(p,N,m)\n", "plt.plot(p,posterior)\n", - "best_p = p[np.argmax(posterior)] # getting the value of p where P(p|D) is maximized\n", + "best_p = p[np.argmax(posterior)]\n", "print(best_p)" ] }, @@ -239,7 +238,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 9, "metadata": {}, "outputs": [ { @@ -251,7 +250,7 @@ }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -265,16 +264,15 @@ "source": [ "N = 80\n", "m = 60\n", - "posterior = with_new_prior(p,N,m) # calculating P(p|D)\n", + "posterior = with_new_prior(p,N,m) \n", "plt.plot(p,posterior)\n", - "best_p = p[np.argmax(posterior)] # getting the value of p where P(p|D) is maximized\n", - "plt.axvline(best_p,c='k')\n", + "best_p = p[np.argmax(posterior)]\n", "print(best_p)" ] }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 10, "metadata": {}, "outputs": [ { @@ -286,7 +284,7 @@ }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -300,9 +298,9 @@ "source": [ "N = 200\n", "m = 150\n", - "posterior = with_new_prior(p,N,m) # calculating P(p|D)\n", + "posterior = with_new_prior(p,N,m)\n", "plt.plot(p,posterior)\n", - "best_p = p[np.argmax(posterior)] # getting the value of p where P(p|D) is maximized\n", + "best_p = p[np.argmax(posterior)]\n", "plt.axvline(best_p,c='k')\n", "print(best_p)" ] @@ -324,7 +322,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -338,7 +336,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.3" + "version": "3.9.7" } }, "nbformat": 4,