From b7b4d267bde1a4eed6b72330658aee3609f33d0c Mon Sep 17 00:00:00 2001
From: "andreas.zimmermann" <andreas.zimmermann@stud.hslu.ch>
Date: Tue, 24 Oct 2023 16:31:23 +0200
Subject: [PATCH] 08 done

---
 .../Gradient Descent.ipynb                    | 287 ++++++++++--------
 1 file changed, 168 insertions(+), 119 deletions(-)

diff --git a/notebooks/04B Gradient Descent/Gradient Descent.ipynb b/notebooks/04B Gradient Descent/Gradient Descent.ipynb
index db9e626..72f960d 100644
--- a/notebooks/04B Gradient Descent/Gradient Descent.ipynb	
+++ b/notebooks/04B Gradient Descent/Gradient Descent.ipynb	
@@ -11,7 +11,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": 1,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -49,7 +49,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 2,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -66,7 +66,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": 3,
    "metadata": {},
    "outputs": [
     {
@@ -94,7 +94,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
+   "execution_count": 4,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -104,7 +104,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 7,
+   "execution_count": 5,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -117,7 +117,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 8,
+   "execution_count": 6,
    "metadata": {},
    "outputs": [
     {
@@ -169,7 +169,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": 7,
    "metadata": {
     "solution2": "hidden",
     "solution2_first": true
@@ -192,7 +192,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 12,
+   "execution_count": 8,
    "metadata": {
     "jupyter": {
      "source_hidden": true
@@ -210,7 +210,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
+   "execution_count": 9,
    "metadata": {},
    "outputs": [
     {
@@ -219,7 +219,7 @@
        "1.9583333333333333"
       ]
      },
-     "execution_count": 10,
+     "execution_count": 9,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -245,9 +245,16 @@
     "> Implement the `gradient` function"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Frage"
+   ]
+  },
   {
    "cell_type": "code",
-   "execution_count": 14,
+   "execution_count": 10,
    "metadata": {
     "solution2": "hidden",
     "solution2_first": true
@@ -259,7 +266,7 @@
        "'\\nVERSTEH ICH NICHT!!!\\n\\ndef gradient(X, y, theta0, theta1):\\n    # START YOUR CODE\\n    grad_Cost = 2*(np.dot(-X.T, y) + np.dot(np.dot(X.T, X), [theta0, theta1]))\\n    print(grad_Cost)\\n    grad_theta0 = grad_Cost[0]\\n    grad_theta1 = grad_Cost[1]\\n        \\n    # END YOUR CODE\\n    return grad_theta0, grad_theta1\\n    '"
       ]
      },
-     "execution_count": 14,
+     "execution_count": 10,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -394,7 +401,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 14,
    "metadata": {
     "jupyter": {
      "source_hidden": true
@@ -431,13 +438,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 14,
+   "execution_count": 15,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "38ba9fe016544fadb88e11806ced6a4e",
+       "model_id": "520a42ac89f049e7a5764aec4711429a",
        "version_major": 2,
        "version_minor": 0
       },
@@ -452,16 +459,16 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Epoch 2 -  cost: 2.0570123706038372\n",
-      "Epoch 4 -  cost: 1.8055857782550788\n",
-      "Epoch 6 -  cost: 1.7753898247671647\n",
-      "Epoch 8 -  cost: 1.7715494045816478\n",
-      "Epoch 10 -  cost: 1.7708508787866062\n",
-      "Epoch 12 -  cost: 1.7705290038569232\n",
-      "Epoch 14 -  cost: 1.7702543590398294\n",
-      "Epoch 16 -  cost: 1.769987680178014\n",
-      "Epoch 18 -  cost: 1.7697242669368654\n",
-      "Epoch 20 -  cost: 1.7694635364701103\n"
+      "Epoch 2 -  cost: 6.434943616905465\n",
+      "Epoch 4 -  cost: 2.343803775020849\n",
+      "Epoch 6 -  cost: 1.8560538320118385\n",
+      "Epoch 8 -  cost: 1.7975454730969955\n",
+      "Epoch 10 -  cost: 1.7901726084696896\n",
+      "Epoch 12 -  cost: 1.7888950218269433\n",
+      "Epoch 14 -  cost: 1.7883474617410104\n",
+      "Epoch 16 -  cost: 1.7878907777683875\n",
+      "Epoch 18 -  cost: 1.7874487952392124\n",
+      "Epoch 20 -  cost: 1.7870124018080842\n"
      ]
     }
    ],
@@ -482,12 +489,12 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 15,
+   "execution_count": 16,
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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",
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",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -519,13 +526,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 16,
+   "execution_count": 17,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "80cc487857d541418294427d915529cc",
+       "model_id": "f191dc3ecb0f4e349f6bd1382e4419bc",
        "version_major": 2,
        "version_minor": 0
       },
@@ -553,9 +560,16 @@
     "We can visualize how our model parameters $\\Theta$ change after each epoch by displaying a contour plot."
    ]
   },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Frage"
+   ]
+  },
   {
    "cell_type": "code",
-   "execution_count": 17,
+   "execution_count": 18,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -570,7 +584,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 18,
+   "execution_count": 19,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -595,13 +609,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 19,
+   "execution_count": 20,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "e63d554f9c774e11965985749ed7415e",
+       "model_id": "1c7a02468e8b499784f95150b13acce1",
        "version_major": 2,
        "version_minor": 0
       },
@@ -644,7 +658,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 20,
+   "execution_count": 21,
    "metadata": {},
    "outputs": [
     {
@@ -655,7 +669,7 @@
        "        1.40556386,  1.40556386])"
       ]
      },
-     "execution_count": 20,
+     "execution_count": 21,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -675,13 +689,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 21,
+   "execution_count": 22,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "fae24ec4be1046c99f7158b39018ead9",
+       "model_id": "50dbfccedccd46a2881172d43da18795",
        "version_major": 2,
        "version_minor": 0
       },
@@ -696,21 +710,21 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Epoch 2 -  cost: 23.4282511813574\n",
-      "Epoch 4 -  cost: 22.573781298005358\n",
-      "Epoch 6 -  cost: 21.75298093739222\n",
-      "Epoch 8 -  cost: 20.964523385980673\n",
-      "Epoch 10 -  cost: 20.207134208040376\n",
-      "Epoch 12 -  cost: 19.479589185693744\n",
-      "Epoch 14 -  cost: 18.78071234013221\n",
-      "Epoch 16 -  cost: 18.109374030804414\n",
-      "Epoch 18 -  cost: 17.46448912950399\n",
-      "Epoch 20 -  cost: 16.845015266405557\n"
+      "Epoch 2 -  cost: 34.30330068241716\n",
+      "Epoch 4 -  cost: 33.020310457275855\n",
+      "Epoch 6 -  cost: 31.787875166136107\n",
+      "Epoch 8 -  cost: 30.604002742884088\n",
+      "Epoch 10 -  cost: 29.466779616759165\n",
+      "Epoch 12 -  cost: 28.374367619323834\n",
+      "Epoch 14 -  cost: 27.325001013311322\n",
+      "Epoch 16 -  cost: 26.31698363854846\n",
+      "Epoch 18 -  cost: 25.348686170340585\n",
+      "Epoch 20 -  cost: 24.418543485887\n"
      ]
     },
     {
      "data": {
-      "image/png": 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",
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",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -736,13 +750,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 22,
+   "execution_count": 23,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "4659175961de4ff4abb5582fba2ab7f0",
+       "model_id": "bf9951631f28404ea48ed24792918ae3",
        "version_major": 2,
        "version_minor": 0
       },
@@ -757,21 +771,21 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Epoch 5 -  cost: 8.44346581950841\n",
-      "Epoch 10 -  cost: 4.079564791805456\n",
-      "Epoch 15 -  cost: 2.557966588715202\n",
-      "Epoch 20 -  cost: 2.02741810080273\n",
-      "Epoch 25 -  cost: 1.8424272816399965\n",
-      "Epoch 30 -  cost: 1.7779249713815126\n",
-      "Epoch 35 -  cost: 1.755434406457738\n",
-      "Epoch 40 -  cost: 1.747592431363149\n",
-      "Epoch 45 -  cost: 1.7448581037198645\n",
-      "Epoch 50 -  cost: 1.7439047026224817\n"
+      "Epoch 5 -  cost: 10.510237042812236\n",
+      "Epoch 10 -  cost: 4.800203357990604\n",
+      "Epoch 15 -  cost: 2.8092377198485394\n",
+      "Epoch 20 -  cost: 2.115030926848464\n",
+      "Epoch 25 -  cost: 1.872975985158375\n",
+      "Epoch 30 -  cost: 1.7885766456713779\n",
+      "Epoch 35 -  cost: 1.7591484156335824\n",
+      "Epoch 40 -  cost: 1.7488874262890997\n",
+      "Epoch 45 -  cost: 1.7453096405305828\n",
+      "Epoch 50 -  cost: 1.7440621437732906\n"
      ]
     },
     {
      "data": {
-      "image/png": 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",
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XrsW6devg4eGBgoICFBQUoKKiAsBv4ae8vBxffPEFtFqtsY1erzceJzIyElu2bAEAlJWV4U9/+hMOHTqES5cuITExERMmTEC3bt0QHx8vyfckIiIi6yLpy1BXrFgBABg1apTJ+lWrVmHmzJlITU3F4cOHAQDdunUzaZOZmYmwsDAAQHp6unEEmVwux4kTJ7BmzRqUlJQgJCQEY8aMwdtvvw2VSmXeL/Q79AYReSUVUMgFBKtdJK2FiIjIkVlNJ2hrYq55gJZ8fxafJl3EzKFhWPxA73Y7LhEREdlgJ2hH0dnHDQBw6Wq5xJUQERE5NgYgCwrzcwUAXCpmACIiIpISA5AFhfvV3gHKuV6Bar1B4mqIiIgcFwOQBQV6OMNZKYPeIOLy9QqpyyEiInJYDEAWJJMJCPOtvQuUyX5AREREkmEAsrDOvuwHREREJDUGIAsLu9kPiAGIiIhIOgxAFhZufAR2Q+JKiIiIHBcDkIXxDhAREZH0GIAsrG4ofO71G6iq4VB4IiIiKTAAWViAhwquTnIYRCDnOh+DERERSYEByMIEQUBnXz4GIyIikhIDkATCb74SI5MBiIiISBIMQBKomwwxiyPBiIiIJMEAJIG6AMS3whMREUmDAUgCdUPh+QiMiIhIGgxAEgi72Qcor6QCuhq9xNUQERE5HgYgCfi7q+BWNxT+GvsBERERWRoDkAQEQbjlMRgDEBERkaUxAEmEr8QgIiKSDgOQRH57KSoDEBERkaUxAEmEd4CIiIikwwAkkbrZoBmAiIiILI8BSCJ17wPL01SisppD4YmIiCyJAUgivm5O8FApAADZHApPRERkUQxAEjEdCs/HYERERJbEACQhdoQmIiKSBgOQhMJ9b3aE5lB4IiIii2IAkhAfgREREUmDAUhCvz0CYydoIiIiS5I0AC1ZsgSDBg2Ch4cHAgICMHHiRKSnp5u0qaysxJw5c+Dr6wt3d3dMnjwZhYWFTR5XFEUsXLgQwcHBcHFxQVxcHM6fP2/Or9IqdbNBF2grUVHFofBERESWImkASkpKwpw5c3Do0CHs2rUL1dXVGDNmDMrLf3sk9OKLL+Kbb77Bpk2bkJSUhLy8PDz44INNHvf999/Hxx9/jJUrV+Lw4cNwc3NDfHw8Kisrzf2VWsTbzQlqFyUA9gMiIiKyJEEURVHqIupcuXIFAQEBSEpKwl133QWNRgN/f3+sW7cODz30EADg3Llz6NmzJ5KTk3HnnXfWO4YoiggJCcFLL72El19+GQCg0WgQGBiI1atX45FHHvndOrRaLdRqNTQaDTw9Pdv3S95mwvKfcTynBCsSBmJc32CznouIiMieteTvt1X1AdJoNAAAHx8fAEBKSgqqq6sRFxdnbBMZGYlOnTohOTm5wWNkZmaioKDAZB+1Wo0hQ4Y0uo+UwowjwdgPiIiIyFIUUhdQx2AwYN68eRg2bBj69OkDACgoKICTkxO8vLxM2gYGBqKgoKDB49StDwwMbPY+Op0OOp3O+Fmr1bb2a7RYmC/nAiIiIrI0q7kDNGfOHJw6dQobNmyw+LmXLFkCtVptXEJDQy127vC6ofDsA0RERGQxVhGA5s6di2+//RZ79+5Fx44djeuDgoJQVVWFkpISk/aFhYUICgpq8Fh1628fKdbUPgsWLIBGozEuOTk5bfg2LcPZoImIiCxP0gAkiiLmzp2LLVu2YM+ePQgPDzfZHh0dDaVSicTEROO69PR0ZGdnIyYmpsFjhoeHIygoyGQfrVaLw4cPN7qPSqWCp6enyWIpdUPhi0p1KNfVWOy8REREjkzSADRnzhysXbsW69atg4eHBwoKClBQUICKigoAtZ2Xn3jiCcyfPx979+5FSkoKHnvsMcTExJiMAIuMjMSWLVsA1L5kdN68eXjnnXewfft2nDx5EtOnT0dISAgmTpwoxddsktpVCW9XDoUnIiKyJEk7Qa9YsQIAMGrUKJP1q1atwsyZMwEAH330EWQyGSZPngydTof4+Hj885//NGmfnp5uHEEGAK+88grKy8vx9NNPo6SkBMOHD8fOnTvh7Oxs1u/TWmF+brieXYJLxTfQO0QtdTlERER2z6rmAbIWlpwHCADmb0zD/45dxp/iIzBndDezn4+IiMge2ew8QI6KL0UlIiKyLAYgK9D55mSIWewDREREZBEMQFbAOBcQ3wpPRERkEQxAVqDuEVhxmQ6lldUSV0NERGT/GICsgKezEr5uTgCALL4TjIiIyOwYgKwEO0ITERFZDgOQleBLUYmIiCyHAchKhPvVjgTjS1GJiIjMjwHISvClqERERJbDAGQljI/A2AmaiIjI7BiArETdHaBr5VXQVHAoPBERkTkxAFkJd5UCfu4qAJwRmoiIyNwYgKyIsSM0+wERERGZFQOQFfltKDz7AREREZkTA5AVMY4E4yMwIiIis2IAsiLhnA2aiIjIIhiArMhvQ+EZgIiIiMyJAciKhN3sBF1yoxolN6okroaIiMh+MQBZEVcnBQI9a4fC8zEYERGR+TAAWRk+BiMiIjI/BiArUxeAMjkUnoiIyGwYgKxM3VB4zgZNRERkPgxAVoazQRMREZkfA5CV6RbgAQA4X1gGg0GUuBoiIiL7xABkZcJ8XaFSyFBRrUf2NfYDIiIiMgcGICujkMvQPdAdAHCuQCtxNURERPaJAcgKRQZ5AgDOFZRKXAkREZF9YgCyQpFBtf2AzuUzABEREZkDA5AV+u0OEB+BERERmQMDkBWKDK69A5R17QZuVNVIXA0REZH9YQCyQn7uKvi5O0EUgV8Ly6Quh4iIyO5IGoD279+P8ePHIyQkBIIgYOvWrSbbBUFocPnggw8aPebixYvrtY+MjDTzN2l/dY/B0vkYjIiIqN1JGoDKy8sRFRWF5cuXN7g9Pz/fZPnyyy8hCAImT57c5HF79+5tst+BAwfMUb5ZRdzsCH2WHaGJiIjanULKk48bNw7jxo1rdHtQUJDJ523btmH06NHo0qVLk8dVKBT19rU1dSPB0jkUnoiIqN3ZTB+gwsJCfPfdd3jiiSd+t+358+cREhKCLl26ICEhAdnZ2U221+l00Gq1JovUbh0JJop8JQYREVF7spkAtGbNGnh4eODBBx9sst2QIUOwevVq7Ny5EytWrEBmZiZGjBiB0tLG76QsWbIEarXauISGhrZ3+S3WPdAdMgG4fqMaV0p1UpdDRERkV2wmAH355ZdISEiAs7Nzk+3GjRuHKVOmoF+/foiPj8eOHTtQUlKCr7/+utF9FixYAI1GY1xycnLau/wWc1bKEe7nBgA4y8dgRERE7comAtBPP/2E9PR0PPnkky3e18vLCz169EBGRkajbVQqFTw9PU0Wa2B8DJYv/SM5IiIie2ITAeiLL75AdHQ0oqKiWrxvWVkZLly4gODgYDNUZl7sCE1ERGQekgagsrIypKWlIS0tDQCQmZmJtLQ0k07LWq0WmzZtavTuT2xsLD755BPj55dffhlJSUm4dOkSDh48iEmTJkEul2PatGlm/S7mYBwKzwBERETUriQdBn/06FGMHj3a+Hn+/PkAgBkzZmD16tUAgA0bNkAUxUYDzIULF1BcXGz8nJubi2nTpuHq1avw9/fH8OHDcejQIfj7+5vvi5hJz+DaR2AXispQrTdAKbeJG3ZERERWTxA5xroerVYLtVoNjUYjaX8gg0FE38U/oLxKjx9fvAs9Aj0kq4WIiMjateTvN28pWDGZTDA+BjvHx2BERETthgHIykUGcyQYERFRe2MAsnIcCUZERNT+GICs3G+vxGAAIiIiai8MQFYu4mbH58slFdBUVEtcDRERkX1gALJyalclQtS1r//4tZB3gYiIiNoDA5ANMI4EY0doIiKidsEAZAOMI8HYD4iIiKhdMADZgEjOBURERNSuGIBsQN1IsPSCUnDibiIiorZjALIBXfzdoJQLKNPVIPd6hdTlEBER2TwGIBuglMvQ1d8dACdEJCIiag8MQDaip7EjNEeCERERtRUDkI2oGwp/lneAiIiI2owByEbwnWBERETthwHIRtSNBMssLkdltV7iaoiIiGwbA5CNCPRUwctVCb1BREZRmdTlEBER2TQGIBshCAInRCQiImonDEA25LcJETkSjIiIqC0YgGwI7wARERG1DwYgGxLBAERERNQuGIBsSI9ADwgCcKVUh+IyndTlEBER2SwGIBviplKgk48rAM4HRERE1BYMQDaG/YCIiIjajgHIxtSNBDuXz5FgRERErcUAZGOMr8Qo5B0gIiKi1mIAsjGRwXVzAZVCbxAlroaIiMg2MQDZmE4+rnBWyqCrMSDrarnU5RAREdkkBiAbI5cJiAhkR2giIqK2YACyQZwQkYiIqG0kDUD79+/H+PHjERISAkEQsHXrVpPtM2fOhCAIJsvYsWN/97jLly9HWFgYnJ2dMWTIEPzyyy9m+gbS4EgwIiKitpE0AJWXlyMqKgrLly9vtM3YsWORn59vXNavX9/kMTdu3Ij58+dj0aJFSE1NRVRUFOLj41FUVNTe5UsmMpgjwYiIiNpCIeXJx40bh3HjxjXZRqVSISgoqNnHXLp0KZ566ik89thjAICVK1fiu+++w5dffolXX321TfVai7o7QFlXb0BbWQ1PZ6XEFREREdkWq+8DtG/fPgQEBCAiIgKzZs3C1atXG21bVVWFlJQUxMXFGdfJZDLExcUhOTm50f10Oh20Wq3JYs183JyMr8Q4nlMibTFEREQ2yKoD0NixY/Hvf/8biYmJ+Nvf/oakpCSMGzcOer2+wfbFxcXQ6/UIDAw0WR8YGIiCgoJGz7NkyRKo1WrjEhoa2q7fwxwGdPICABzLLpG0DiIiIlsk6SOw3/PII48Yf+/bty/69euHrl27Yt++fYiNjW238yxYsADz5883ftZqtVYfggaEemFbWh6OZV+XuhQiIiKbY9V3gG7XpUsX+Pn5ISMjo8Htfn5+kMvlKCwsNFlfWFjYZD8ilUoFT09Pk8XaDejkDQA4llMCUeSM0ERERC1hUwEoNzcXV69eRXBwcIPbnZycEB0djcTEROM6g8GAxMRExMTEWKpMi+gZ7AmVQoaSG9XILOaM0ERERC0haQAqKytDWloa0tLSAACZmZlIS0tDdnY2ysrK8Kc//QmHDh3CpUuXkJiYiAkTJqBbt26Ij483HiM2NhaffPKJ8fP8+fPx+eefY82aNTh79ixmzZqF8vJy46gwe+GkkKFvBzUA9gMiIiJqKUn7AB09ehSjR482fq7rhzNjxgysWLECJ06cwJo1a1BSUoKQkBCMGTMGb7/9NlQqlXGfCxcuoLi42Ph56tSpuHLlChYuXIiCggL0798fO3furNcx2h4M6OSFo1nXcSznOiZHd5S6HCIiIpshiOxAUo9Wq4VarYZGo7Hq/kA7TuZj9lep6B3iie+eHyF1OURERJJqyd9vm+oDRKbqhsKfKyjFjaoaaYshIiKyIQxANixY7YJgtTP0BhEncjVSl0NERGQzGIBsHCdEJCIiajkGIBs3IPTmfECcEJGIiKjZGIBsnPEOECdEJCIiajYGIBvXp4MaSrmAK6U65F6vkLocIiIim8AAZOOclXL0Cq4d6neMb4YnIiJqFgYgO2B8Lxj7ARERETULA5Ad4EgwIiKilmEAsgN1I8FO52lQWa2XuBoiIiLrxwBkB0J9XODn7oRqvYjTeVqpyyEiIrJ6DEB2QBAE9Od8QERERM3GAGQnbp0PiIiIiJrGAGQnjAEoi3eAiIiIfg8DkJ2I6ugFmQDkaSpRoKmUuhwiIiKrxgBkJ9xUCkQE1U6ImJbDu0BERERNYQCyI5wPiIiIqHkYgOzIgFAvAEAqR4IRERE1iQHIjgzsXDsU/kSuBtV6g8TVEBERWS8GIDsS7usGtYsSuhoDzuWXSl0OERGR1WIAsiMymYD+Nx+DHWNHaCIiokYxANmZuo7QqZwPiIiIqFEMQHZmQKebr8TgjNBERESNYgCyM3WPwLKu3sDVMp20xRAREVkpBiA7o3ZRoluAOwAgjXeBiIiIGsQAZIfq5gPihIhEREQNYwCyQ3X9gDghIhERUcMYgOzQwM5eAIDjOSXQG0RpiyEiIrJCDEB2qHuAB9yc5Civ0uN8ESdEJCIiuh0DkB2SywREsR8QERFRoyQNQPv378f48eMREhICQRCwdetW47bq6mr8+c9/Rt++feHm5oaQkBBMnz4deXl5TR5z8eLFEATBZImMjDTzN7E+nBCRiIioca0KQG+99RZu3LhRb31FRQXeeuutZh+nvLwcUVFRWL58eb1tN27cQGpqKt544w2kpqbif//7H9LT0/HAAw/87nF79+6N/Px843LgwIFm12QvBnJCRCIiokYJoii2uJesXC5Hfn4+AgICTNZfvXoVAQEB0Ov1LS9EELBlyxZMnDix0TZHjhzB4MGDkZWVhU6dOjXYZvHixdi6dSvS0tJaXEMdrVYLtVoNjUYDT0/PVh9HSlfLdIh+ZzcA4PiiMVC7KCWuiIiIyLxa8ve7VXeARFGEIAj11h8/fhw+Pj6tOWSzaDQaCIIALy+vJtudP38eISEh6NKlCxISEpCdnd1ke51OB61Wa7LYOl93FcJ8XQEARy9dk7gaIiIi69KiAOTt7Q0fHx8IgoAePXrAx8fHuKjVatxzzz14+OGHzVJoZWUl/vznP2PatGlNprohQ4Zg9erV2LlzJ1asWIHMzEyMGDECpaWNj4ZasmQJ1Gq1cQkNDTXHV7C4od38AAA/nS+WuBIiIiLr0qJHYGvWrIEoinj88cexbNkyqNVq4zYnJyeEhYUhJiamdYU08QisuroakydPRm5uLvbt29eix1IlJSXo3Lkzli5diieeeKLBNjqdDjrdb+/N0mq1CA0NtelHYADw/cl8zPoqFd0C3LF7/kipyyEiIjKrljwCU7TkwDNmzAAAhIeHY9iwYVAoWrR7q1RXV+Phhx9GVlYW9uzZ0+JA4uXlhR49eiAjI6PRNiqVCiqVqq2lWp2hXf0gE4CMojLkayoQrHaRuiQiIiKr0Ko+QB4eHjh79qzx87Zt2zBx4kS89tprqKqqarfi6sLP+fPnsXv3bvj6+rb4GGVlZbhw4QKCg4PbrS5boXZVol9HLwB8DEZERHSrVgWgZ555Br/++isA4OLFi5g6dSpcXV2xadMmvPLKK80+TllZGdLS0owjtjIzM5GWlobs7GxUV1fjoYcewtGjR/HVV19Br9ejoKAABQUFJiErNjYWn3zyifHzyy+/jKSkJFy6dAkHDx7EpEmTIJfLMW3atNZ8VZs3ojv7AREREd2uVQHo119/Rf/+/QEAmzZtwsiRI7Fu3TqsXr0a//3vf5t9nKNHj2LAgAEYMGAAAGD+/PkYMGAAFi5ciMuXL2P79u3Izc1F//79ERwcbFwOHjxoPMaFCxdQXPzbH/fc3FxMmzYNERERePjhh+Hr64tDhw7B39+/NV/V5o3oXvu9f84ohoHvBSMiIgLQwj5AdURRhMFgAADs3r0b999/PwAgNDTUJIz8nlGjRqGpPtjN6Z996dIlk88bNmxo9vkdwYBOXnBzkuNaeRXO5GvRp4P693ciIiKyc626A3THHXfgnXfewX/+8x8kJSXhvvvuA1D7CCswMLBdC6S2UcpliOla23eKj8GIiIhqtSoALVu2DKmpqZg7dy7+8pe/oFu3bgCAzZs3Y+jQoe1aILXdcON8QFckroSIiMg6tOoRWL9+/XDy5Ml66z/44API5fI2F0Xta0SP2n5ARy9dR0WVHi5O/N+IiIgcW5sm8klJSTEOh+/VqxcGDhzYLkVR++ri54YQtTPyNJX45dI1jOzhmB3CiYiI6rQqABUVFWHq1KlISkoyvperpKQEo0ePxoYNGxx2xJW1EgQBw7v74eujufjp1ysMQERE5PBa1QfoueeeQ1lZGU6fPo1r167h2rVrOHXqFLRaLZ5//vn2rpHaQd1w+AMZ7AhNRETUqjtAO3fuxO7du9GzZ0/jul69emH58uUYM2ZMuxVH7WdYNz8IAnCuoBRF2koEeDpLXRIREZFkWnUHyGAwQKlU1luvVCqN8wORdfFxc0KfkNo5gHgXiIiIHF2rAtDdd9+NF154AXl5ecZ1ly9fxosvvojY2Nh2K47a13C+FoOIiAhAKwPQJ598Aq1Wi7CwMHTt2hVdu3ZFeHg4tFot/vGPf7R3jdRO6t4LdiCjuFmzbBMREdmrVvUBCg0NRWpqKnbv3o1z584BAHr27Im4uLh2LY7aV3Rnb7go5bhSqkN6YSkigzylLomIiEgSLboDtGfPHvTq1QtarRaCIOCee+7Bc889h+eeew6DBg1C79698dNPP5mrVmojlUKOweE+AICffuVjMCIiclwtCkDLli3DU089BU/P+ncO1Go1nnnmGSxdurTdiqP2V/cY7Cd2hCYiIgfWogB0/PhxjB07ttHtY8aMQUpKSpuLIvOpmw/o8MWrqKzWS1wNERGRNFoUgAoLCxsc/l5HoVDgyhW+cNOa9Qh0R4CHCroaA1KyrktdDhERkSRaFIA6dOiAU6dONbr9xIkTCA4ObnNRZD51r8UAgP18OzwRETmoFgWge++9F2+88QYqKyvrbauoqMCiRYtw//33t1txZB7G4fCcD4iIiByUILZgQpjCwkIMHDgQcrkcc+fORUREBADg3LlzWL58OfR6PVJTUxEYGGi2gi1Bq9VCrVZDo9E02OHb1hWVVmLwu4kAgJTX4+DrrpK4IiIiorZryd/vFs0DFBgYiIMHD2LWrFlYsGCBcTI9QRAQHx+P5cuX23z4cQQBHs6IDPLAuYJSHMgoxoT+HaQuiYiIyKJaPBFi586dsWPHDly/fh0ZGRkQRRHdu3eHt7e3OeojM7mrh39tADrPAERERI6nVTNBA4C3tzcGDRrUnrWQBQ3v5ofP9l/ET+drX4shCILUJREREVlMq94FRrZvcLgPnBQyFGgrceFKmdTlEBERWRQDkINyVsoxOKz2tRj7+VoMIiJyMAxADmz4LW+HJyIiciQMQA6sbj6gQxevoqrGIHE1RERElsMA5MB6BnnC180JN6r0SM3mazGIiMhxMAA5MJlMMN4F2n2mUOJqiIiILIcByMGN7VP77rYdJ/PRgknBiYiIbBoDkIMbFeEPNyc58jSVOJZTInU5REREFsEA5OCclXLE9ap9fcl3J/IlroaIiMgyJA1A+/fvx/jx4xESEgJBELB161aT7aIoYuHChQgODoaLiwvi4uJw/vz53z3u8uXLERYWBmdnZwwZMgS//PKLmb6Bfbi3b+1jsO9P5sNg4GMwIiKyf5IGoPLyckRFRWH58uUNbn///ffx8ccfY+XKlTh8+DDc3NwQHx+PysrKRo+5ceNGzJ8/H4sWLUJqaiqioqIQHx+PoqIic30NmzeyBx+DERGRY5E0AI0bNw7vvPMOJk2aVG+bKIpYtmwZXn/9dUyYMAH9+vXDv//9b+Tl5dW7U3SrpUuX4qmnnsJjjz2GXr16YeXKlXB1dcWXX35pxm9i25yVctzDx2BERORArLYPUGZmJgoKChAXF2dcp1arMWTIECQnJze4T1VVFVJSUkz2kclkiIuLa3QfqnVfvxAAtaPB+BiMiIjsndUGoIKCAgBAYGCgyfrAwEDjttsVFxdDr9e3aB8A0Ol00Gq1JoujGdHdD+4qBQq0lTiWw0kRiYjIvlltALKkJUuWQK1WG5fQ0FCpS7K4Wx+DfcvHYEREZOesNgAFBQUBAAoLTWcoLiwsNG67nZ+fH+RyeYv2AYAFCxZAo9EYl5ycnDZWb5vu6/vbpIh8DEZERPbMagNQeHg4goKCkJiYaFyn1Wpx+PBhxMTENLiPk5MToqOjTfYxGAxITExsdB8AUKlU8PT0NFkc0YgefvBQKVCo1SGF7wYjIiI7JmkAKisrQ1paGtLS0gDUdnxOS0tDdnY2BEHAvHnz8M4772D79u04efIkpk+fjpCQEEycONF4jNjYWHzyySfGz/Pnz8fnn3+ONWvW4OzZs5g1axbKy8vx2GOPWfjb2R6VgqPBiIjIMSikPPnRo0cxevRo4+f58+cDAGbMmIHVq1fjlVdeQXl5OZ5++mmUlJRg+PDh2LlzJ5ydnY37XLhwAcXFxcbPU6dOxZUrV7Bw4UIUFBSgf//+2LlzZ72O0dSw+/oF43/HLmPHyXwsvL8XZDJB6pKIiIjanSDyDZj1aLVaqNVqaDQah3scpqvR4453dqO0sgZfPxODweE+UpdERETULC35+221fYBIGiqFHGN61XYY/+5EnsTVEBERmQcDENVzX7/aAPT9qQLoORqMiIjsEAMQ1TO8mz88nBUoKtXh6KVrUpdDRETU7hiAqB4nhQzxvW8+BjvJ0WBERGR/GICoQff1q50UkY/BiIjIHjEAUYOGdfWDp7MCV0p1OMLHYEREZGcYgKhBJo/BOCkiERHZGQYgahQfgxERkb1iAKJGDevmB7WLEsVlOvySycdgRERkPxiAqFFKuQxjjaPBOCkiERHZDwYgatK9Nx+D7TxVgBq9QeJqiIiI2gcDEDVpaFdfeLkqUVxWxcdgRERkNxiAqEm3PgbbfpyPwYiIyD4wANHvmjSgAwBgW1oetJXVEldDRETUdgxA9LsGh/ugR6A7Kqr1+F9KrtTlEBERtRkDEP0uQRDw6J2dAQBrD2dDFDknEBER2TYGIGqWSQM6wNVJjoyiMhy6yM7QRERk2xiAqFk8nJXGvkBrD2VJXA0REVHbMABRs9U9BvvhdAEKtZUSV0NERNR6DEDUbD2DPTEozBs1BhEbfsmRuhwiIqJWYwCiFqm7C7TulyxUc2ZoIiKyUQxA1CJj+wTB180JhVodEs8WSl0OERFRqzAAUYuoFHJMHRQKAFh7KFviaoiIiFqHAYha7A9DOkEQgAMZxbhwpUzqcoiIiFqMAYharKO3K2IjAwAAX/EuEBER2SAGIGqVus7Qm1JycKOqRuJqiIiIWoYBiFrlru7+6OTjitLKGnzDt8QTEZGNYQCiVpHJBCQM6QQA+M+hLL4fjIiIbAoDELXalDtC4aSQ4dRlLY7naqQuh4iIqNkYgKjVfNyccH+/YADAf5L5fjAiIrIdDEDUJn+82Rn6mxN5uF5eJXE1REREzWP1ASgsLAyCINRb5syZ02D71atX12vr7Oxs4aodR/9QL/QO8URVjQGbUvh+MCIisg1WH4COHDmC/Px847Jr1y4AwJQpUxrdx9PT02SfrCw+njEXQRCMd4G+OpwNg4GdoYmIyPpZfQDy9/dHUFCQcfn222/RtWtXjBw5stF9BEEw2ScwMNCCFTueB/qHwMNZgayrN/BTRrHU5RAREf0uqw9At6qqqsLatWvx+OOPQxCERtuVlZWhc+fOCA0NxYQJE3D69Okmj6vT6aDVak0Waj5XJwUeiu4IAFhz8JK0xRARETWDTQWgrVu3oqSkBDNnzmy0TUREBL788kts27YNa9euhcFgwNChQ5Gbm9voPkuWLIFarTYuoaGhZqjevv3xzs6QCcCec0U4ySHxRERk5QTRhmawi4+Ph5OTE7755ptm71NdXY2ePXti2rRpePvttxtso9PpoNPpjJ+1Wi1CQ0Oh0Wjg6enZ5rodxYsb07Dl2GXcHRmAL2cOkrocIiJyMFqtFmq1ull/v23mDlBWVhZ2796NJ598skX7KZVKDBgwABkZGY22UalU8PT0NFmo5Z6P7Q65TMCec0VIzb4udTlERESNspkAtGrVKgQEBOC+++5r0X56vR4nT55EcHCwmSqjOuF+bnhwQAcAwEe7fpW4GiIiosbZRAAyGAxYtWoVZsyYAYVCYbJt+vTpWLBggfHzW2+9hR9//BEXL15EamoqHn30UWRlZbX4zhG1zvOx3aGQCfjpfDF+ybwmdTlEREQNsokAtHv3bmRnZ+Pxxx+vty07Oxv5+fnGz9evX8dTTz2Fnj174t5774VWq8XBgwfRq1cvS5bssEJ9XPHwoNpO5Et3pUtcDRERUcNsqhO0pbSkExXVl1dSgVEf7EOV3oB1Tw3B0K5+UpdEREQOwC47QZPtCPFywbTBN+8C/fgrmLGJiMjaMACRWcwe3Q0qhQxHs65j/3nODk1ERNaFAYjMItDTGY/efEfY0l28C0RERNaFAYjM5tmRXeGilON4Tgn2nCuSuhwiIiIjBiAyG38PFaYP5V0gIiKyPgxAZFbP3NUVbk5ynM7T4ofThVKXQ0REBIABiMzMx80Jjw8PB1A7O7TBwLtAREQkPQYgMrsnh3eBh7MC6YWl2HEq//d3ICIiMjMGIDI7tasSTw7vAgBYtvs89LwLREREEmMAIot4fHgY1C5KZBSVYfvxy1KXQ0REDo4BiCzCw1mJp+/67S6QrkYvcUVEROTIGIDIYmYODYOfuwpZV29g5b6LUpdDREQOjAGILMZNpcCi8b0AAMv3ZuDClTKJKyIiIkfFAEQWdX+/YIyK8EeV3oDX/neSkyMSEZEkGIDIogRBwNsT+sBFKcfhzGvYdDRX6pKIiMgBMQCRxYX6uGL+PT0AAO/uOIviMp3EFRERkaNhACJJPDYsDL1DPKGpqMY7356RuhwiInIwDEAkCYVchiUP9oVMALam5SHp1ytSl0RERA6EAYgk06+jF2YMDQMAvL71JCqqODcQERFZBgMQSeqlMREIUTsj51oF/i/xvNTlEBGRg2AAIkm5qxR4a0IfAMDnP13EmTytxBUREZEjYAAiycX1CsS4PkHQG0Qs2HKSL0slIiKzYwAiq7D4gd7wUClwPKcEaw9lSV0OERHZOQYgsgqBns54ZWwEAOD9neeQr6mQuCIiIrJnDEBkNRKGdMbATl4or9Jj0bbTUpdDRER2jAGIrIZMJmDJg/2gkAn48Uwhvj6aI3VJRERkpxiAyKpEBHlgXlx3AMAbW0/h1GWNxBUREZE9YgAiqzN7VDfcHRkAXY0Bs75KgeZGtdQlERGRnWEAIqsjkwn46OH+CPVxQc61CszbeAwGDo0nIqJ2xABEVkntqsSKhGioFDLsTb+CT/ZmSF0SERHZEasOQIsXL4YgCCZLZGRkk/ts2rQJkZGRcHZ2Rt++fbFjxw4LVUvtrU8HNd6ZWDtL9Ee7f8W+9CKJKyIiInth1QEIAHr37o38/HzjcuDAgUbbHjx4ENOmTcMTTzyBY8eOYeLEiZg4cSJOnTplwYqpPU25IxTTBneCKALzNqYh59oNqUsiIiI7YPUBSKFQICgoyLj4+fk12vb//u//MHbsWPzpT39Cz5498fbbb2PgwIH45JNPLFgxtbdF43uhX0c1Sm5UY/ZXqais5lvjiYiobaw+AJ0/fx4hISHo0qULEhISkJ2d3Wjb5ORkxMXFmayLj49HcnJyk+fQ6XTQarUmC1kPZ6Uc/0wYCC9XJU5e1uDNbzhJIhERtY1VB6AhQ4Zg9erV2LlzJ1asWIHMzEyMGDECpaWlDbYvKChAYGCgybrAwEAUFBQ0eZ4lS5ZArVYbl9DQ0Hb7DtQ+Onq74uNHBkAQgPW/5ODrI5wkkYiIWs+qA9C4ceMwZcoU9OvXD/Hx8dixYwdKSkrw9ddft+t5FixYAI1GY1xycvjH1Rrd1cMfL8b1AAC8vo2TJBIRUetZdQC6nZeXF3r06IGMjIaHRAcFBaGwsNBkXWFhIYKCgpo8rkqlgqenp8lC1mnu6NpJEqtqDHh2bQqul1dJXRIREdkgmwpAZWVluHDhAoKDgxvcHhMTg8TERJN1u3btQkxMjCXKIwu4dZLE3OsVmLnqF5RWcqZoIiJqGasOQC+//DKSkpJw6dIlHDx4EJMmTYJcLse0adMAANOnT8eCBQuM7V944QXs3LkTf//733Hu3DksXrwYR48exdy5c6X6CmQGalclvpgxCN6uShzP1eCJ1Udxo6pG6rKIiMiGWHUAys3NxbRp0xAREYGHH34Yvr6+OHToEPz9/QEA2dnZyM/PN7YfOnQo1q1bh88++wxRUVHYvHkztm7dij59+kj1FchMegR64D9PDIGHswK/XLqGp/+dwuHxRETUbIIoinzJ0m20Wi3UajU0Gg37A1m5lKzr+OMXh3GjSo+7IwOw8tFoOCmsOtcTEZGZtOTvN/9SkE2L7uyNf824AyqFDHvOFWHexmOo0RukLouIiKwcAxDZvKFd/fDpH6OhlAvYcbIAr2w+wbfHExFRkxiAyC6MigjAJ38YCLlMwP+OXcZftp4Cn+4SEVFjGIDIbsT3DsJHU/vfnC06G299e4YhiIiIGsQARHblgagQ/G1yPwDAqp8v4cMf0yWuiIiIrBEDENmdh+8IxdsTegMAlu+9gPe+P8c+QUREZIIBiOzSH2PC8Jd7ewIAViZdwJx1qaio4jxBRERUiwGI7NZTd3XB36dEQSkX8P2pAkz9LBmF2kqpyyIiIivAAER2bXJ0R3z15J3wdlXiRK4GEz75mW+RJyIiBiCyf4PDfbB1zjB09XdDgbYSU1Ym44fTBVKXRUREEmIAIofQ2dcN/5s9DCO6+6GiWo9n16ZgZdIFDpMnInJQDEDkMNQuSqyaOQiP3tkJogi89/05vLL5BKpq+OoMIiJHwwBEDkUhl+HtCX2weHwvyARgU0ou/vjFYVwvr5K6NCIisiAGIHI4giBg5rBwfDFzENxVChzOvIZ7P/4JB84XS10aERFZCAMQOazREQH476yh6OzrinxNJR794jAWbTvF+YKIiBwAAxA5tIggD+x4fgQevbMTAGBNchbu/fgnpGRdl7gyIiIyJwYgcnhuKgXemdgX/358MII8nZFZXI4pKw/ibzvPQVfDu0FERPaIAYjoprt6+OOHeXfhwQEdYBCBFfsuYMInP+NMnlbq0oiIqJ0xABHdQu2qxNKp/bHy0YHwcXPCuYJSTFh+AMv3ZqBGz+HyRET2ggGIqAFj+wTjh3l34Z5egajWi/jgh3Q8uOIgjly6JnVpRETUDhiAiBrh76HCZ3+Mxt+nRMFDpcCJXA2mrEzGM/85iotXyqQuj4iI2kAQ+S6AerRaLdRqNTQaDTw9PaUuh6xAUWklPtp1HhuPZMMgAgqZgEfv7IznY7vDx81J6vKIiAgt+/vNANQABiBqzK+FpViy4yz2pl8BAHioFJg9uhseGxYGZ6Vc4uqIiBwbA1AbMQDR7/k5oxjvfncWZ/JrR4iFqJ3xp7ERmBDVATKZIHF1RESOiQGojRiAqDkMBhFbjl3Ghz+mI19TCQDoHeKJZ0d2xbg+QVDI2cWOiMiSGIDaiAGIWqKyWo8vDmRixb4LKNPVAAA6eLngsWFhmDooFB7OSokrJCJyDAxAbcQARK1xtUyHfydn4T+HsnDt5tvlPVQKPDI4FDOHhaODl4vEFRIR2TcGoDZiAKK2qKzWY8uxy/jXTxdx4Uo5AEAuE3Bf32A8OSIc/Tp6SVsgEZGdYgBqIwYgag8Gg4h9vxbhXz9l4uCFq8b1g8N9MPWOUIztEwQ3lULCComI7AsDUBsxAFF7O3VZgy8OZOKb43moMdT+X85FKUd870BMGtgRw7v5Qc7RY0REbdKSv99WPUxlyZIlGDRoEDw8PBAQEICJEyciPT29yX1Wr14NQRBMFmdnZwtVTNSwPh3U+Ghqfxz48914Ma4HwnxdUVGtx9a0PMz48hfcuSQR73x7BqfzNOB/kxARmZ9V339PSkrCnDlzMGjQINTU1OC1117DmDFjcObMGbi5uTW6n6enp0lQEgT+lzVZhyC1M16I647nY7vhWE4Jth67jG+O5+FKqQ7/OpCJfx3IRESgByYN7IBxfYLQ2bfxf86JiKj1bOoR2JUrVxAQEICkpCTcddddDbZZvXo15s2bh5KSklafh4/AyJKqagzYl16ELccuI/FsEapueet8F3833B0RgLsjA3BHmA+cFFZ905aISFIt+ftt1XeAbqfRaAAAPj4+TbYrKytD586dYTAYMHDgQPz1r39F7969G22v0+mg0+mMn7VabfsUTNQMTgoZxvQOwpjeQdDcqMaOU/nYnpaHI5eu4eKVcly8UntnyEOlwIgefhgdEYBREQHw91BJXToRkc2ymTtABoMBDzzwAEpKSnDgwIFG2yUnJ+P8+fPo168fNBoNPvzwQ+zfvx+nT59Gx44dG9xn8eLFePPNN+ut5x0gkpK2sho//VqMPeeKsC+9CFdvzi0EAIIA9OvohRHd/DAo3AfRnb3hzhFlROTg7HIU2KxZs/D999/jwIEDjQaZhlRXV6Nnz56YNm0a3n777QbbNHQHKDQ0lAGIrIbBIOJ4bgn2nivCnvQinLpsepdSJgC9QjwxKMwHg8N8MCjcB37uvENERI7F7gLQ3LlzsW3bNuzfvx/h4eEt3n/KlClQKBRYv359s9qzDxBZu0JtJfalF+Fw5jUcuXQNOdcq6rXp4ueGQWG1d4d6d/BE9wAP9iEiIrtmN32ARFHEc889hy1btmDfvn2tCj96vR4nT57Evffea4YKiaQR6OmMqYM6YeqgTgCAfE0Fjly6jiM3A1F6YSkuFpfjYnE5Nh7NAQA4yWXoEeSO3sFq9O7gid4havQM9oCrk1X/a4CIyCys+g7Q7NmzsW7dOmzbtg0RERHG9Wq1Gi4ute9Vmj59Ojp06IAlS5YAAN566y3ceeed6NatG0pKSvDBBx9g69atSElJQa9evZp1Xt4BIlunuVGNo1nX8MulaziRo8HpPA20lTX12skEINzPDb1C1Ojm746uAW7o6u+OcD83OCvlElRORNR6dnMHaMWKFQCAUaNGmaxftWoVZs6cCQDIzs6GTPbbbf3r16/jqaeeQkFBAby9vREdHY2DBw82O/wQ2QO1qxKxPQMR2zMQQO3d1NzrFTidp8Gpy1qcztPgdJ4WRaU6XLhSbnxnWR1BADp6u6Crv7tx6eLvhk4+rgj0dOas1URk86z6DpBUeAeIHEVRaSVO52lxLr8UF6+U4cKVMmQUlTV4t6iOUi4gxMsFHb1dEOrtWvvTx9X42c9dBRkDEhFJwO46QVsaAxA5MlEUcbW8CheKym7eHaoNRpnF5bh8vcL4LrPGyGUCAjxUCPB0RqCHCoGezghSOyPg5u+Bns7w91DBy0XJoERE7cpuHoERkeUJggA/dxX83FUY0sXXZJveIKJQW4nc6xXIuXaj9uf1G8i9Xvt7vqYSeoOIfE0l8jWVTZ5HJgDerk7wcatd/NxVxt993Z3g7eoEtYsSahclvFxrf3o4K/n4jYjaBQMQETWbXFb7+CvEywWDw+vPyF6jN+BqeRUKtZUo0FSisFSHott/11ai5EY1DCJwtbzKZILH5vBwVhhDkaezEu4qBdydFfC4+dNdpfzts0oBN5UCbio5XJ3kcHFSwM1JDhcnOZzkMr4nkMiBMQARUbtRyGXGx1z9mpivtFpvwPWb4efazZ9Xy3Qmv5fcqIam4rflRpUeAFBaWYPSyhrkXq8/91FLyGUCXJ3kNxcFnJVyOCtlcFbc/KmU/7bu5u8qhQxOChlUCnntT7kMKqUMTsafteuVcgFKuezm7zLjOid57WeFXIBSJuMjQCIJMQARkcUp5TIEeDojwNO52ftU1RigrbwlFN2ohrayGmW6GpRV1qBMVxuMTD7ralBaWY2KKj1uVOlRUaU3vmxWbxCNYQrQNX1yM5EJtaFRIROgkAnGcKSQ1f2s/V0uE6CQC7U/ZXU/a9fLZQJkggC5DLf8fnO5+btMJkAmAHKh7vff9pMJtfsJgmkbQYBxu0z4bXvt7zB+FtDI+pvb6tYJgPGYdb8DQr11t+9X2+q29TdX1u4F4zpjewEm54Dx99va3fzf4bdtpm1v1VSbJrc1cIyGtzZy3np11G/UUIy+vZnQYKum92mL5hzLQ6WE2lXZfidtIQYgIrIJTgqZsW9SW1TrDcYwdKOqBjduhqPK6tqloloPXbUBlTV16wzGn7oaPXQ1BlTdXHQ1tYFKV20w+VltXERU19Suq9IbcPuQE4NYG+xa9hCQyD7MHtUVr4yNlOz8DEBE5FCUchnULjKoXSz/X556g4jqm2GoRi+iRm9AteHmT72IGsPN9TfX1RhE6A3izZ8G6A2A3vDb+mq9CINBhF6s/Wy4+dO4iDe3GwCDKBoX4+ebbUQRxv0NYu1IwLrfDTe31x1bRO32unV17U0+39ZGFAERtdtQt66uDXBze+0vdZ/r9gN+Ox6MbetvE+s+3L7u5j6162/Z77Ywajz+LfvUHeHWc+GW7bd8anC9aXvTEzZ2rFvbNWuIdgONbl/VnMHezR0O3pxx42Izj6aQ+BEwAxARkYXUPpqSc5ZtIivANyMSERGRw2EAIiIiIofDAEREREQOhwGIiIiIHA4DEBERETkcBiAiIiJyOAxARERE5HAYgIiIiMjhMAARERGRw2EAIiIiIofDAEREREQOhwGIiIiIHA4DEBERETkcBiAiIiJyOAqpC7BGoigCALRarcSVEBERUXPV/d2u+zveFAagBpSWlgIAQkNDJa6EiIiIWqq0tBRqtbrJNoLYnJjkYAwGA/Ly8uDh4QFBENr12FqtFqGhocjJyYGnp2e7Hpvq4/W2LF5vy+L1tixeb8tqzfUWRRGlpaUICQmBTNZ0Lx/eAWqATCZDx44dzXoOT09P/h/Igni9LYvX27J4vS2L19uyWnq9f+/OTx12giYiIiKHwwBEREREDocByMJUKhUWLVoElUoldSkOgdfbsni9LYvX27J4vS3L3NebnaCJiIjI4fAOEBERETkcBiAiIiJyOAxARERE5HAYgIiIiMjhMABZ0PLlyxEWFgZnZ2cMGTIEv/zyi9Ql2YX9+/dj/PjxCAkJgSAI2Lp1q8l2URSxcOFCBAcHw8XFBXFxcTh//rw0xdqBJUuWYNCgQfDw8EBAQAAmTpyI9PR0kzaVlZWYM2cOfH194e7ujsmTJ6OwsFCiim3bihUr0K9fP+NkcDExMfj++++N23mtzeu9996DIAiYN2+ecR2veftZvHgxBEEwWSIjI43bzXmtGYAsZOPGjZg/fz4WLVqE1NRUREVFIT4+HkVFRVKXZvPKy8sRFRWF5cuXN7j9/fffx8cff4yVK1fi8OHDcHNzQ3x8PCorKy1cqX1ISkrCnDlzcOjQIezatQvV1dUYM2YMysvLjW1efPFFfPPNN9i0aROSkpKQl5eHBx98UMKqbVfHjh3x3nvvISUlBUePHsXdd9+NCRMm4PTp0wB4rc3pyJEj+PTTT9GvXz+T9bzm7at3797Iz883LgcOHDBuM+u1FskiBg8eLM6ZM8f4Wa/XiyEhIeKSJUskrMr+ABC3bNli/GwwGMSgoCDxgw8+MK4rKSkRVSqVuH79egkqtD9FRUUiADEpKUkUxdrrq1QqxU2bNhnbnD17VgQgJicnS1WmXfH29hb/9a9/8VqbUWlpqdi9e3dx165d4siRI8UXXnhBFEX+893eFi1aJEZFRTW4zdzXmneALKCqqgopKSmIi4szrpPJZIiLi0NycrKEldm/zMxMFBQUmFx7tVqNIUOG8Nq3E41GAwDw8fEBAKSkpKC6utrkmkdGRqJTp0685m2k1+uxYcMGlJeXIyYmhtfajObMmYP77rvP5NoC/OfbHM6fP4+QkBB06dIFCQkJyM7OBmD+a82XoVpAcXEx9Ho9AgMDTdYHBgbi3LlzElXlGAoKCgCgwWtft41az2AwYN68eRg2bBj69OkDoPaaOzk5wcvLy6Qtr3nrnTx5EjExMaisrIS7uzu2bNmCXr16IS0tjdfaDDZs2IDU1FQcOXKk3jb+892+hgwZgtWrVyMiIgL5+fl48803MWLECJw6dcrs15oBiIhabc6cOTh16pTJM3tqfxEREUhLS4NGo8HmzZsxY8YMJCUlSV2WXcrJycELL7yAXbt2wdnZWepy7N64ceOMv/fr1w9DhgxB586d8fXXX8PFxcWs5+YjMAvw8/ODXC6v13O9sLAQQUFBElXlGOquL699+5s7dy6+/fZb7N27Fx07djSuDwoKQlVVFUpKSkza85q3npOTE7p164bo6GgsWbIEUVFR+L//+z9eazNISUlBUVERBg4cCIVCAYVCgaSkJHz88cdQKBQIDAzkNTcjLy8v9OjRAxkZGWb/55sByAKcnJwQHR2NxMRE4zqDwYDExETExMRIWJn9Cw8PR1BQkMm112q1OHz4MK99K4miiLlz52LLli3Ys2cPwsPDTbZHR0dDqVSaXPP09HRkZ2fzmrcTg8EAnU7Ha20GsbGxOHnyJNLS0ozLHXfcgYSEBOPvvObmU1ZWhgsXLiA4ONj8/3y3uRs1NcuGDRtElUolrl69Wjxz5oz49NNPi15eXmJBQYHUpdm80tJS8dixY+KxY8dEAOLSpUvFY8eOiVlZWaIoiuJ7770nenl5idu2bRNPnDghTpgwQQwPDxcrKiokrtw2zZo1S1Sr1eK+ffvE/Px843Ljxg1jm2effVbs1KmTuGfPHvHo0aNiTEyMGBMTI2HVtuvVV18Vk5KSxMzMTPHEiRPiq6++KgqCIP7444+iKPJaW8Kto8BEkde8Pb300kvivn37xMzMTPHnn38W4+LiRD8/P7GoqEgURfNeawYgC/rHP/4hdurUSXRychIHDx4sHjp0SOqS7MLevXtFAPWWGTNmiKJYOxT+jTfeEAMDA0WVSiXGxsaK6enp0hZtwxq61gDEVatWGdtUVFSIs2fPFr29vUVXV1dx0qRJYn5+vnRF27DHH39c7Ny5s+jk5CT6+/uLsbGxxvAjirzWlnB7AOI1bz9Tp04Vg4ODRScnJ7FDhw7i1KlTxYyMDON2c15rQRRFse33kYiIiIhsB/sAERERkcNhACIiIiKHwwBEREREDocBiIiIiBwOAxARERE5HAYgIiIicjgMQERERORwGICIiBohCAK2bt0qdRlEZAYMQERklWbOnAlBEOotY8eOlbo0IrIDCqkLICJqzNixY7Fq1SqTdSqVSqJqiMie8A4QEVktlUqFoKAgk8Xb2xtA7eOpFStWYNy4cXBxcUGXLl2wefNmk/1PnjyJu+++Gy4uLvD19cXTTz+NsrIykzZffvklevfuDZVKheDgYMydO9dke3FxMSZNmgRXV1d0794d27dvN267fv06EhIS4O/vDxcXF3Tv3r1eYCMi68QAREQ264033sDkyZNx/PhxJCQk4JFHHsHZs2cBAOXl5YiPj4e3tzeOHDmCTZs2Yffu3SYBZ8WKFZgzZw6efvppnDx5Etu3b0e3bt1MzvHmm2/i4YcfxokTJ3DvvfciISEB165dM57/zJkz+P7773H27FmsWLECfn5+lrsARNR67fJKVSKidjZjxgxRLpeLbm5uJsu7774rimLtW+mfffZZk32GDBkizpo1SxRFUfzss89Eb29vsayszLj9u+++E2UymVhQUCCKoiiGhISIf/nLXxqtAYD4+uuvGz+XlZWJAMTvv/9eFEVRHD9+vPjYY4+1zxcmIotiHyAislqjR4/GihUrTNb5+PgYf4+JiTHZFhMTg7S0NADA2bNnERUVBTc3N+P2YcOGwWAwID09HYIgIC8vD7GxsU3W0K9fP+Pvbm5u8PT0RFFREQBg1qxZmDx5MlJTUzFmzBhMnDgRQ4cObdV3JSLLYgAiIqvl5uZW75FUe3FxcWlWO6VSafJZEAQYDAYAwLhx45CVlYUdO3Zg165diI2NxZw5c/Dhhx+2e71E1L7YB4iIbNahQ4fqfe7ZsycAoGfPnjh+/DjKy8uN23/++WfIZDJERETAw8MDYWFhSExMbFMN/v7+mDFjBtauXYtly5bhs88+a9PxiMgyeAeIiKyWTqdDQUGByTqFQmHsaLxp0ybccccdGD58OL766iv88ssv+OKLLwAACQkJWLRoEWbMmIHFixfjypUreO655/DHP/4RgYGBAIDFixfj2WefRUBAAMaNG4fS0lL8/PPPeO6555pV38KFCxEdHY3evXtDp9Ph22+/NQYwIrJuDEBEZLV27tyJ4OBgk3URERE4d+4cgNoRWhs2bMDs2bMRHByM9evXo1evXgAAV1dX/PDDD3jhhRcwaNAguLq6YvLkyVi6dKnxWDNmzEBlZSU++ugjvPzyy/Dz88NDDz3U7PqcnJywYMECXLp0CS4uLhgxYgQ2bNjQDt+ciMxNEEVRlLoIIqKWEgQBW7ZswcSJE6UuhYhsEPsAERERkcNhACIiIiKHwz5ARGST+PSeiNqCd4CIiIjI4TAAERERkcNhACIiIiKHwwBEREREDocBiIiIiBwOAxARERE5HAYgIiIicjgMQERERORwGICIiIjI4fw/ml8ZnjAiYoAAAAAASUVORK5CYII=",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -797,7 +811,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 23,
+   "execution_count": 24,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -819,7 +833,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 24,
+   "execution_count": 25,
    "metadata": {
     "code_folding": []
    },
@@ -827,7 +841,7 @@
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "8bfed612b6614343b24d0fcaa2b209fe",
+       "model_id": "1b974b93d9bd42d9b4eb1e0e50a3af5b",
        "version_major": 2,
        "version_minor": 0
       },
@@ -879,7 +893,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 25,
+   "execution_count": 26,
    "metadata": {
     "scrolled": true
    },
@@ -954,7 +968,7 @@
        "4  3000         4  539900"
       ]
      },
-     "execution_count": 25,
+     "execution_count": 26,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -980,7 +994,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 26,
+   "execution_count": 27,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -997,7 +1011,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 27,
+   "execution_count": 28,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1016,7 +1030,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 28,
+   "execution_count": 29,
    "metadata": {},
    "outputs": [
     {
@@ -1025,7 +1039,7 @@
        "<Axes: >"
       ]
      },
-     "execution_count": 28,
+     "execution_count": 29,
      "metadata": {},
      "output_type": "execute_result"
     },
@@ -1054,13 +1068,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 29,
+   "execution_count": 30,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "445c4c15d8224dfbac822e47a2fe26a8",
+       "model_id": "68fad56074114c5ba478e4d324fd63a9",
        "version_major": 2,
        "version_minor": 0
       },
@@ -1075,7 +1089,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Epoch 20 -  cost: 3.1400542524074265e+196\n",
+      "Epoch 20 -  cost: 3.242555516398099e+196\n",
       "Epoch 40 -  cost: inf\n",
       "Epoch 60 -  cost: inf\n",
       "Epoch 80 -  cost: nan\n",
@@ -1096,21 +1110,19 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "C:\\Users\\Pollux\\AppData\\Local\\Temp\\ipykernel_19612\\3911711650.py:3: RuntimeWarning: overflow encountered in square\n",
-      "  cost = np.mean((y - y_pred)**2) / 2\n",
-      "C:\\Users\\Pollux\\AppData\\Local\\Packages\\PythonSoftwareFoundation.Python.3.11_qbz5n2kfra8p0\\LocalCache\\local-packages\\Python311\\site-packages\\numpy\\core\\_methods.py:180: RuntimeWarning: overflow encountered in reduce\n",
-      "  ret = umr_sum(arr, axis, dtype, out, keepdims, where=where)\n",
+      "C:\\Users\\Pollux\\AppData\\Local\\Temp\\ipykernel_19072\\2965647539.py:2: RuntimeWarning: overflow encountered in square\n",
+      "  cost = np.sum((y_pred - y) ** 2) / (2 * len(y))\n",
       "C:\\Users\\Pollux\\AppData\\Local\\Packages\\PythonSoftwareFoundation.Python.3.11_qbz5n2kfra8p0\\LocalCache\\local-packages\\Python311\\site-packages\\numpy\\core\\fromnumeric.py:86: RuntimeWarning: overflow encountered in reduce\n",
       "  return ufunc.reduce(obj, axis, dtype, out, **passkwargs)\n",
-      "C:\\Users\\Pollux\\AppData\\Local\\Temp\\ipykernel_19612\\803254272.py:9: RuntimeWarning: invalid value encountered in double_scalars\n",
-      "  theta0 -= alpha * grad_theta0\n",
-      "C:\\Users\\Pollux\\AppData\\Local\\Temp\\ipykernel_19612\\803254272.py:10: RuntimeWarning: invalid value encountered in double_scalars\n",
-      "  theta1 -= alpha * grad_theta1\n"
+      "C:\\Users\\Pollux\\AppData\\Local\\Temp\\ipykernel_19072\\504446248.py:8: RuntimeWarning: invalid value encountered in double_scalars\n",
+      "  theta0 = theta0 - alpha * grad_theta0\n",
+      "C:\\Users\\Pollux\\AppData\\Local\\Temp\\ipykernel_19072\\504446248.py:9: RuntimeWarning: invalid value encountered in double_scalars\n",
+      "  theta1 = theta1 - alpha * grad_theta1\n"
      ]
     },
     {
      "data": {
-      "image/png": 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",
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",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -1146,7 +1158,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 34,
+   "execution_count": 31,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1164,6 +1176,13 @@
     "> z-normalise the training and test data by using the [StandardScaler](https://scikit-learn.org/stable/modules/generated/sklearn.preprocessing.StandardScaler.html)"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Frage"
+   ]
+  },
   {
    "cell_type": "code",
    "execution_count": 32,
@@ -1171,7 +1190,18 @@
     "solution2": "hidden",
     "solution2_first": true
    },
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "'\\nSTIMMT NICHT!\\nscaler = StandardScaler()\\nX_train_house_scaled = scaler.fit_transform(X_train_house_scaled)\\nX_test_house_scaled = scaler.transform(y_test_house_scaled.reshape(-1, 1))\\n'"
+      ]
+     },
+     "execution_count": 32,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
    "source": [
     "# z-normalise the training and test data.\n",
     "\"\"\"\n",
@@ -1191,7 +1221,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 35,
+   "execution_count": 33,
    "metadata": {
     "jupyter": {
      "source_hidden": true
@@ -1216,13 +1246,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 36,
+   "execution_count": 34,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "8f29e68207fb4c3d8ac5227d1dbc6fa1",
+       "model_id": "dd3850b73a4f4cfabff3abf4c7b78a1d",
        "version_major": 2,
        "version_minor": 0
       },
@@ -1237,8 +1267,8 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Epoch 20 -  cost: 1567167680.2997642\n",
-      "Epoch 40 -  cost: 1567167141.3091757\n",
+      "Epoch 20 -  cost: 1567167680.29778\n",
+      "Epoch 40 -  cost: 1567167141.309176\n",
       "Epoch 60 -  cost: 1567167141.3091712\n",
       "Epoch 80 -  cost: 1567167141.3091712\n",
       "Epoch 100 -  cost: 1567167141.3091712\n",
@@ -1290,13 +1320,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 40,
+   "execution_count": 35,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "e630eaae5c0b4a94a619ead99a110b70",
+       "model_id": "5ed7829eeb26490793499ce7c41f01f5",
        "version_major": 2,
        "version_minor": 0
       },
@@ -1328,7 +1358,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 42,
+   "execution_count": 36,
    "metadata": {
     "solution2": "hidden",
     "solution2_first": true
@@ -1356,7 +1386,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 37,
    "metadata": {
     "jupyter": {
      "source_hidden": true
@@ -1364,7 +1394,15 @@
     "solution2": "hidden",
     "tags": []
    },
-   "outputs": [],
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "R2: 0.5263014538841415\n"
+     ]
+    }
+   ],
    "source": [
     "\n",
     "y_pred_house_scaled = predict(X_test_house_scaled, theta0, theta1)\n",
@@ -1382,7 +1420,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 43,
+   "execution_count": 38,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1438,7 +1476,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 44,
+   "execution_count": 39,
    "metadata": {
     "solution2": "hidden",
     "solution2_first": true
@@ -1461,7 +1499,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 40,
    "metadata": {
     "solution2": "hidden",
     "tags": []
@@ -1483,12 +1521,23 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 41,
    "metadata": {
     "solution2": "hidden",
     "solution2_first": true
    },
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "'\\nVERSTEH ICH NICHT!\\ndef gradient(X, y, bias, thetas):\\n    # START YOUR CODE\\n    \\n    \\n    \\n    # END YOUR CODE\\n    return grad_bias, grad_thetas'"
+      ]
+     },
+     "execution_count": 41,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
    "source": [
     "\"\"\"\n",
     "VERSTEH ICH NICHT!\n",
@@ -1510,7 +1559,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 45,
+   "execution_count": 42,
    "metadata": {
     "jupyter": {
      "source_hidden": true
@@ -1541,7 +1590,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 46,
+   "execution_count": 43,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -1571,13 +1620,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 47,
+   "execution_count": 44,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "f61227a0691242278037579707ee3f26",
+       "model_id": "338602d21f824dc8a5f1f9a339199df3",
        "version_major": 2,
        "version_minor": 0
       },
@@ -1623,12 +1672,12 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 48,
+   "execution_count": 45,
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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       "text/plain": [
        "<Figure size 1600x500 with 2 Axes>"
       ]
@@ -1665,14 +1714,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 49,
+   "execution_count": 46,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "R2: 0.7477926795652788\n"
+      "R2: 0.7477926775060011\n"
      ]
     }
    ],
@@ -1705,7 +1754,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 50,
+   "execution_count": 47,
    "metadata": {
     "solution2": "hidden",
     "solution2_first": true
@@ -1766,7 +1815,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 51,
+   "execution_count": 48,
    "metadata": {
     "code_folding": [],
     "jupyter": {
@@ -1839,13 +1888,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 52,
+   "execution_count": 49,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "18efe6d743e3453fa98778f09f38e5d7",
+       "model_id": "4ea69e28df6c45f89a3251f2cf8e45ee",
        "version_major": 2,
        "version_minor": 0
       },
@@ -1860,12 +1909,12 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Epoch 50 - train_cost: 1.4e+08 - train_r2: -0.1979\n"
+      "Epoch 50 - train_cost: 1.4e+08 - train_r2: -0.198\n"
      ]
     },
     {
      "data": {
-      "image/png": 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       "text/plain": [
        "<Figure size 1600x500 with 2 Axes>"
       ]
@@ -1902,13 +1951,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 53,
+   "execution_count": 50,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "db55a6f04675420dbf157b6abee0b401",
+       "model_id": "bad2033baa034327be7de614f292e6d1",
        "version_major": 2,
        "version_minor": 0
       },
@@ -1928,7 +1977,7 @@
     },
     {
      "data": {
-      "image/png": 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       "text/plain": [
        "<Figure size 1600x500 with 2 Axes>"
       ]
@@ -1963,14 +2012,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 54,
+   "execution_count": 51,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "R2: 0.7477981521123799\n"
+      "R2: 0.7478676224160894\n"
      ]
     }
    ],
@@ -2011,7 +2060,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.11.5"
+   "version": "3.11.6"
   }
  },
  "nbformat": 4,
-- 
GitLab