diff --git a/Exercise7/exercise7.ipynb b/Exercise7/exercise7.ipynb
index 2dbde78..2197fbd 100755
--- a/Exercise7/exercise7.ipynb
+++ b/Exercise7/exercise7.ipynb
@@ -18,9 +18,18 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 11,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The autoreload extension is already loaded. To reload it, use:\n",
+ " %reload_ext autoreload\n"
+ ]
+ }
+ ],
"source": [
"# used for manipulating directory paths\n",
"import os\n",
@@ -142,7 +151,7 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
@@ -185,8 +194,10 @@
" idx = np.zeros(X.shape[0], dtype=int)\n",
"\n",
" # ====================== YOUR CODE HERE ======================\n",
- "\n",
- " \n",
+ " for i, x in enumerate(X):\n",
+ " diff = x-centroids\n",
+ " dist = np.linalg.norm(diff, axis=1)\n",
+ " idx[i] = np.argmin(dist)\n",
" \n",
" # =============================================================\n",
" return idx"
@@ -201,9 +212,19 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 13,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Closest centroids for the first 3 examples:\n",
+ "[0 2 1]\n",
+ "(the closest centroids should be 0, 2, 1 respectively)\n"
+ ]
+ }
+ ],
"source": [
"# Load an example dataset that we will be using\n",
"data = loadmat(os.path.join('Data', 'ex7data2.mat'))\n",
@@ -230,9 +251,42 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 17,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "\n",
+ "Submitting Solutions | Programming Exercise k-means-clustering-and-pca\n",
+ "\n"
+ ]
+ },
+ {
+ "name": "stdin",
+ "output_type": "stream",
+ "text": [
+ "Use token from last successful submission (coursera@dbauer.me)? (Y/n): Y\n"
+ ]
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ " Part Name | Score | Feedback\n",
+ " --------- | ----- | --------\n",
+ " Recover Data (PCA) | 30 / 30 | Nice work!\n",
+ " Find Closest Centroids (k-Means) | 0 / 30 | Your answer is incorrect.\n",
+ " Compute Centroid Means (k-Means) | 0 / 20 | Your answer is incorrect.\n",
+ " PCA | 0 / 10 | Your answer is incorrect.\n",
+ " Project Data (PCA) | 0 / 10 | Your answer is incorrect.\n",
+ " --------------------------------\n",
+ " | 30 / 100 | \n",
+ "\n"
+ ]
+ }
+ ],
"source": [
"grader[1] = findClosestCentroids\n",
"grader.grade()"
@@ -257,7 +311,7 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
@@ -305,7 +359,8 @@
"\n",
" # ====================== YOUR CODE HERE ======================\n",
"\n",
- " \n",
+ " for i in range(K):\n",
+ " centroids[i] = np.mean(X[idx==i], axis=0)\n",
" \n",
" # =============================================================\n",
" return centroids"
@@ -320,9 +375,25 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 19,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Centroids computed after initial finding of closest centroids:\n",
+ "[[2.42830111 3.15792418]\n",
+ " [5.81350331 2.63365645]\n",
+ " [7.11938687 3.6166844 ]]\n",
+ "\n",
+ "The centroids should be\n",
+ " [ 2.428301 3.157924 ]\n",
+ " [ 5.813503 2.633656 ]\n",
+ " [ 7.119387 3.616684 ]\n"
+ ]
+ }
+ ],
"source": [
"# Compute means based on the closest centroids found in the previous part.\n",
"centroids = computeCentroids(X, idx, K)\n",
@@ -344,9 +415,42 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 21,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "\n",
+ "Submitting Solutions | Programming Exercise k-means-clustering-and-pca\n",
+ "\n"
+ ]
+ },
+ {
+ "name": "stdin",
+ "output_type": "stream",
+ "text": [
+ "Use token from last successful submission (coursera@dbauer.me)? (Y/n): \n"
+ ]
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ " Part Name | Score | Feedback\n",
+ " --------- | ----- | --------\n",
+ " Recover Data (PCA) | 30 / 30 | Nice work!\n",
+ " Find Closest Centroids (k-Means) | 30 / 30 | Nice work!\n",
+ " Compute Centroid Means (k-Means) | 0 / 20 | Your answer is incorrect.\n",
+ " PCA | 0 / 10 | Your answer is incorrect.\n",
+ " Project Data (PCA) | 0 / 10 | Your answer is incorrect.\n",
+ " --------------------------------\n",
+ " | 60 / 100 | \n",
+ "\n"
+ ]
+ }
+ ],
"source": [
"grader[2] = computeCentroids\n",
"grader.grade()"
@@ -367,11 +471,27864 @@
},
{
"cell_type": "code",
- "execution_count": null,
- "metadata": {
- "scrolled": false
- },
- "outputs": [],
+ "execution_count": 22,
+ "metadata": {},
+ "outputs": [
+ {
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p8UHfom9g/d2+wLrNwa16Aa2dbTBS3BIlnE6Y0ASO7LHXl78+dXvmFl11o/cYOPc518FgsxWj4BQ/b4nuWvaHNZ8HduujuRAbgiy9+gEUjY1PhNvX6q+dRRWviCGECJ2IfoMCXXz1n7+5KlUr/SeplV5E2f9h3easJwO4oaG3FehxvXkz5Qj8N2g7tcqiY3V1h+sWWxe0vcStgOcHA+0HJ38WPV82bOlw6G00AnWHjyE4pxNm3APv9tMLPfNzoFX/4PpoVrHcrgE2lxZ4C2VwchbBB2frTf9KMw1fOkEngQgh7In4AAX6TeauTHi4RP+5a7PnOpq+Y6HfQ9jKygI90d6gK8TW89/mwvcC76ed4bszH9H/bNYL7t0Hp/opthpbT2+BUMrOsFW0jbmh793WYJ3xX+v27tqfDwue1QGo1K+P6/T8RS/Atnl6bm98kk7/rwrdrqn6tyCnU2dwbvoZj2HUg5v1ovO/f6+yrgkRdnv27GH58uWWx+yoNqWO7FrxIXx7vfXwXeNT9FvMx4NdCzZdfw1xyXo1fTDzD84ieCIOv3M7cfXh3v3lj2/8CT46x/c1qSdC7i695svKiA90irwV99JEU6+D5e9YX+OteR+9ieGUS/y3iUvWGw1WBhUF6XfBuRMq53lmPh1hnmIfmwD3H668/ghRWfbs2cOAAQMoKSlh2bJlxMXF+TzmrdrX4gvEs6k6vdtK7VS4ZYWuhReMPavgy6tcRVZLIDoO0k6CrD/09+5q1Yd7tvnOgLOqp2fXyI/gqyut23nXzivKh+l36h107Sz+PUZhmWhRt5kumRMuccmQ0g7anwf9TBb/ViY7/z7v3nr8VagQNVtpIFq9ejUAY8eOZcyYMeWOjRs3rty1x1WA+uEO+MNmqrFy6IoIsQFu1T5/PPxssjlh60F60a+jFvR/RG+X7svKz+CrywJ7ti+x9XTZpydqWbc95Wbf2Y++agRW1G3r9BvgzHugIEfv+5S3G/5eyLHgFl0bio+E5nnD39Lbn1SlR20MNbc7Dzb9VPamn9IeRn0BDbuFt29ChIN7cGoDbAaIiqJ169ZkZmZ6HFuwYAHp6eke11coQCml5gC9gdJcuR2GYXTwf0WZqghQTic8EYPtNOoOF8JlAax5yt+vs+KsjJoCnS3mpZ5O9CwFFKwRH+iqEW/2cr3BWfB+izqwGV4Ocst0MzdkeO475cueVXpuJlTqNIbEpnqRclUUOn00iqBT+K+cDm3PDWl3hAgr7+C0AHgOeNZ1vjMwGxgHTAA6duxYbqjPX4AKJEnidsMwElx/bAWnquJwwM3LXbun2rAhwAn9L20MowFMu6X8scyf9PXTbtWFY0MRnPo/VlbS6NqF9q6Z/ajn93Z/pkA5nZ5f5/vI0ks70ZWlGSJ5O/UatrfT4ZlkvQbu6Xo6yzBnR+ie40/zAJcnuPvkvND1Q4jKkJWVRUmJntPYjA5ODwAdKQtOANNd/4yKiiIvz942AdUiiy8YDbvBQ0fhhMHWbUsCnP/ZafOF0H0+J3uNTqD48BxY9TFkvAqTzwzsud5OfwAeLIYz3Uof2a3GvtxrEfSuMBVF3bdWV4h4Jkln+41P0kNgL7fzXDx8+3podHL561UFF+4WHtBr4IoO6yzDF5vpzMNwunxq8NujlxSXlX0Sojro3r07y5YtY+zYsRAVxbPAacC96ODkAAYAq4HOnTsze/ZsUlJsDEERWIB6Wim1Vyk1XynV36yhUupGpVSGUiojOzuQWffQKMrV80Pf3mCvblxsncDu7whwvqooHyZ1sc4sDETtNBj4ZPDbgzhLrNuEwtFCXcbIuzzTgY16i/fSNyqHA25aqrPbznpKLxu4+294qEin4puVJArUnIfCux4pPhnu2aETRNxF2/zvZsMP1m2EiCRxcXGMGTOG1q118cooYCiQBtShLGdsyJAhpKXZ3x3V7hxUOjoAFgGXAa8A3Q3DyLS6trLnoN7tD9sC2PQP9FCgUQwoaHiSrsGW3MZ/+wXPw09+Ko27i0+BsXv18NmqjwPrk5XLv9OZa768fgrsWmp9jzs3lRVDfa+//RJBdsXW1SWlnAX+27ToB/8M4LlFuXprlIpKOwluCXxZRsCcRbq+YN3mumrFE7X811gsNfhl2Y9JVC/u81Clw3oOdHCKAxYDfSDgJAlbb1CGYSw2DOOwYRiFhmFMBuajA2RECSY4gSs4ARi6UvbEtnp+yJ8+Y3R2npXSSuJrAyw6a8fKzz3nd9xdb3Mh6KQuZV9f/Kn/dsG66GPz4AR62C0Qubvt/d1b2bu64vewwxGr59hKN1rsaGMxd89bw9snIULJO0midM6pH9ADHZzSgbuBkpISRo8eTUGBxQeDS7BzUAa26zZUjqL84IKTPx+cbX5+TJb5UF+jU6DrpfprqzqBwVj1gZ7T+ezi8uccDnsJIsX5ZfMdCY3g4gBr5/nToDNcPcvedimBZLtNuUL/8hCKodJg54gqasR75v9uTr0t/Ls6CxFK3kkS4yibc1qDfnMaQ5iSJJRSSUqpc5VScUqpaKXUlejgON3q2so095HQ3q+kyHyH1vhk87eDXUvKMsbqmwwXlnLfhqNWAAVT134JHw3zPJb5k9tboYXS9WJF+dAsHa4KMsh3vxbuPwINOum3k/fPsrdo2O6vSIsnwl+fBNc3X1oPDN29AuGIhf/shoTGnsdVFJz2HxhagY0ya6QffoCGDUEp/ScuDh5+uKp7Jdx4J0lMoCwhYsyYMeWOBZIkYScROwZ4Ap016ATWAhcahlHRnXtC6kgYSuqs/9az5p+7eU9j+dv/V5fDP+fCyA/hTZO9raJi4X6vtw07iz1LbfxBB5jSxcarAhiuO5QFT8ZDsb037vKi4PT7dKr703UCf7tp46fEk7eZNub8AjHyg9DeLxDxyfoNPH+/LrNVt0nglfOPCxMnwp13eh4rLITHHoNffoHffquafoly4uLiGDduHCNHjmT06NFERUUxe/Zs0tLSGDVqVLljdlkGKMMwsoFTK9L5ytD1Slj2VmjvmWSym+q676yvLy322uQU6HmLTi0vR8H1i30cdgRW/mjW/TD4Rf11nQb2r7OTTGHK0DsWZ2UEHpwcrsrudpRYJBYEolFPHSRCzemEjEmQsx06jYTmvc3bxydDl1Gh70eN4HSWD07u5s+HGTPgXFnVHEnS09NZtmwZeXl5x96SfB2zKyL3gyrKhbf7uGrcudROhUu/9v2b5t718NmFgT3DTnkds8nqWjYyyaLdaiIOmwTdroZvrtZVrZUD2g2DEZP97FAb4Axf7q6yr/s9oksxVQoDcrbqP4FQMTD2oL3K40U2lgoEIhwZcl9fAyveL/t+4bP63/+1C6Fx99A/r8Z76inrNjffDJs3h78vIiBxcXHlCsL6OmZHxC3ULcqFccmewQn0otd3T4fNszyP5+6C/3W03gY9po6uV5fUCi75Cv6z13xtTY8bzCerz3nW/7lSvby20mjeW++n9H9H4cECuPRL38Epa4n9OaRSHc4v+zo2HlqdZd4+OsC1X6FWu779+oe5WaF7rnJA96tDdz+Ab671DE6ligvgjZM9f3kQNtkZvtslf7E1XcQFqE8u0Fuj+z0/3PP7zy/Gci7oimnwQC7cn6P3kuo0Qn843rXVx1CP0gtDh79hfs+G3aCeSTVqFa3XS5VuVveogsdrmaevl1r+rnUbj2c5oKvXdvPX/AInDPLVGEZ8Av0C3Asq1Jr1sd82sVXonjs6xGu9nE740+Lf1xeXhvaZx4WWLa3bJNjYAE1UaxE3xLdltvn5o0cgZ1vZVgV2tlmP9vNmmdgUxu7T2XYbvod6Tf0vfvXlzk0wqRPs3+B5PKYuHD0MhQc9j5cU6fJGF38GXUz2UbIzfOjuimm+j//jJ70odO6TekK+65Vl8yLb5tu7d1yyngtrdhpkr4ZD2wLrmz+BJCk4HHo+8KDFaE6vO+D3ib7PNeur/57iQ7ClvLsVNn6O7TKXH7gJE+DNN83b3H9/5fRFVJmIe4Oysy5mp3sFABvts9eZn09sCj1vCiw4gf7gHPo/XTHiGKWDqJkpFr9RB7rT7ZZZ/s85YqHvf2DoRM9J+xZ97a2VGvgU3HcQrvoRokOwQBZgyCQ/825+5O6CE22krGe8pn/haDNYp+3HJup5vwcL4brfQh+cwN5eV2He0aZmSkiAi0xWNScmwj33VF5/RJWIuDcoO5vguU86O2pZZ4+1tZnKHKgVH/rYwdZAJ+NbWPstdDzf97nYBGjaG3YssteP+ePhj0m6bNDID/Sw5faFunyRe/Zb7Ua6rFCD9vr7Rj1gp0XVibmP6+A9qVv5N0Vfmp8Ofy8Aw1V8K8qVBKEUNDkVLvrI/kZ9RfnwSnv7Gx6WHIVdK3QwrSwdL4TZ/2feJjYEpZmOS1Om6ESIN97wjPJdu8KyZVXXL1FpIi5AtewPW02G+aLjPT/get4Mi1/y3z62rnldvYr45prgr13zlWeAytkBX12hN/IzDEjpACmdYN8ae/crytXrocanQNthsNHHsN+RXfC/DnoTwQbtIcrG+3NRLnxwLmSvtG6b0ASuDbB0kZnnUuGovQXnx2yb53/tWjiknaj/Gysy2cJ9wKP+zwkLr72m/yxfDgcPQp8+EGsj9VPUCBE3xHfFt+ZDT5d5rZsZ/CLUbeq//XU25qiCsebrsreEYKyYrDcJBP029WIz2DZXvwUYxbD3Lx2c+oyFJiaLfH3xFZzcfeh6o7Szb1Fia9g007pdale4O0TzU6ArRwQanAAa+9iyI9xuWobfZQFNekHvuyu1OzVT9+7Qv78Ep+NMxAWo2ASdAt6gi+fx+AZwza/QxkeNvHv+1pl3x9bUKD1Edvff+jfccNgyp+L3eMMVeMzWcC0YD+38DAUGq3TN0qBx1m172dwC/tYVoa0hN99G37ypqMDnEUMhuQ2MPaCfraIBBbXqw7DX4AYfi7CFEPZE3BAf6Mns21z79Tid9j74hk7UfyqLr831AlWwH2b8B8s5t82/VPxZvjgcMGQi/Ohn4WrXq/T26VWhKIi3p3NfDH0/7IpP1FugCCFCJ+LeoLxFamXnk0cTknrua7+ybrNnJTQMUzWCXrfrN9OkVmXH4pLhgsk64aKdjR2JAylua1eDTvbbRsfB8LdkDyUhapqIfIOqLgY85j+DKzre3m6+8SlwcJN5m+g4uCEDJrYJvKSQLwlec3at+ukFzL44YvU8SpZJtl843lxGfqC31jBzxya9TYjdihRCiOol4t+gIlm/B/Xup9715NK66rVDaSeZX68ccJ6vArJe0u/Ub5J3b4HrFusqDBXZAr1+K3g0qqzCxdOJsNKkAvq1C3SGni/dr3W9TYZYchtdYNef4W9BcmsJTkLUZLa2fK+Iyt7yvaoU5UJeti5/VDoseWAzvHyC/2vOfk7vzvt8U//15hyxeqGpN2eRvi5/r9cJpeeVpt/luxq6WZFcFQX9HoL+frbb2fCD3vYi/wCktNdvOXbXNAVr7bcw7eayenYNOsLIj6UAqxA1ib8t3yVAhdnuFfBOXx3ASqkoGPg09B2rv3c69YJU76G+WklwV6b51hDb5sMvD+ig03EknOFW/eX3V3UR06ho/ba3/jv443/WfT71Ntk4TwhReSRAVbH9mboSe0oHPefjS84OmP80FBfqCf+G3ULbhyfi7O/Z9GBx5CaoCCFqFn8BSpIkKklyG+uKFolNw/vm4gxg0785D+q3PCGEqCqSJHEciYqx33bv+vD1Qwgh7JAAdRzpaqMieKlm6eHrhxBC2CEB6jgy/E29PsuO0gQOIYSoKhKgjiMOh16fZVWm6ZznK6c/QghhRgLUccYRCzcthYcN6HaN54LfuPowagqcJvvACSEigGTxHcdGvKf/CCFEJJI3KCGEEBFJ3qCEEBUyh3VksJViSkimNiPpQQMSqrpbogaQACWECEo+RUzgZ5xuG5rt4jCT+JWetGQoYdotVBw3ZIhPCBGUV5jjEZzcZbCVzWRXco9ETSMBSggRsP3kks9R0zZTWVFJvRE1lQzxVXPrv4dv/lm27YaK0lu1j5hctf0SNdsStlu2OURBJfRE1GTyBlWNZbwOnwz33BPKKNFbbLzYqsq6JY4D0dMhGRkAACAASURBVDY+OlQl9EPUbBKgqrFpJjvO5myFRWHYil0IgL60tmzTiHqV0BNRkwUUoJRS7ZRSBUqpD8PVIWHP0rfBz/z0MXMeq5SuiONQLLGWAehielRSb0RNFegb1P+AP8LRERGYrXOt2xQdCn8/xPHrOvqQQh2f50ZxCvX9nBPCLttJEkqpy4CDwAKgbdh6JGxJ62Ldxm7lciGC4cDBbfRnP7nMZA0FFNOOVPrKx4MIEVtvUEqpesBjgK0yokqpG5VSGUqpjOxsWQsRDr3HWLfpdWv4+yFEMglcxqmM5jQJTiKk7A7xPQ68bRjG33YaG4bxhmEYPQ3D6Jmamhp874RfDgec9h//52MSYMBTldcfIYQINcshPqVUd2AQYLGLkKhs54yH2ikw+/+gxG3NZMOT4YZFOogJIUR1ZWcOqj/QCtimlAJIABxKqc6GYUiaThU7/V79J38/5B+AxFYSmIQQNYOdAPUG8Knb9/9GByyTVTiissUn6z9CCFFTWAYowzCOAEdKv1dK5QIFhmFI9oMQQoiwCbgWn2EYj4ShH0IIIYQHKXUkhBAiIkmAEkIIEZEkQAkhhIhIEqCEEEJEJAlQQgghIpIEKCGEEBFJApQQQoiIJAFKCCFERJIAJYQQIiIFXElCCCFENeN0wrRpcOgQXHghJCRUdY9skQAlhBA12YUXwtSpnsfq1IGNG6FRo6rpk00yxCeEEDVVv37lgxNAXh40bgwjRlR+nwIgAUoIIaqr33+H8eNh1qzy57KzYd488+u/+Qbuvjs8fQsBCVBCCFHd/PAD1KoF6elw770wcCBER8Orr5a1uf12e/d65ZXw9DEEZA5KCCFCwImT2awng60UU0JtYhlMFzrTOLQPmj8fhg3z0QEn3HorTJ4MGRn6e1sdd0JubkQmTkiAEkJEjJ3kUEQxjalLEU7iicWBw9a1Tpx8zyq2sZ8YHJxJezoR+iSA9ezie1aRSyEAqSQwnG68zyKKKTnWLpdCprCUpiRyHaeHrgOjRpmfX7w48HsWFQXXlzBThmGE9QE9e/Y0MjIywvoMIUR5u1fAF5fCvnWAAbUSYdA46HlTVfesvKn8yZ/87fNcHNFcRk9akOL3+iVsZRqryh2vRTT/YhCxNoOclWmsYAnbA76uP+3pR7uQ9AGlQnMf9/uVlFi3CyOl1BLDMHp6H5c3KCFqoNVfwhcXex4rzIFpN8O67+DK76umX758xGIy2ev3fAHFvMciRtPbI0jlUsivrOMwhaxnj89rCynmFWZxD2f7vb8TJ0vZTgFH6UYzEok/dnwyi/mbA0H+ZGV+Y2PoAlSonX9+VffALwlQQtRAUy7xf27jNNg8B1r3r6ze+JdPkWlwcvcJGdzLuThx8ga/kU2uretyKeIAedSnTrlzH7KITew79v1s1lObWG7mdF5mjseQXUWE6j6AfuMJ1chXu3Y6ky9CSRafEDXM76+AYfF5+O21ldMXKz/4GJbzp5BinDh5jXm2g1OpBWSWO/YuCzyCU6kjFDGBWaENKqF0zjnBX9uyJdSvD23b6soS69eHrl9hIG9QQtQwmTOs2xzOCn8/7DhEQUDtd3CQfeQF/Bzv9418itgegqE7uxKJO/a1Eye7OEQs0aRSN/CbTZsGycm6bFEgHA7YsiXw51UhCVBC1DB1bCSuRcdZtwmHhWzibw6QTB36046mJAUUKH5nS1DP7cMJHt/PZE1Q9wnWSHrgxMk7LGAnnoGlB805j24ArGQH89hIMU6ak8z5dC2fxehwwP79cPPN8P77OgPP4dBvVjNm+E94GD8+HD9aWEmAEqKGOfs5WPaWeZvKzuRbzGZmsNrj2Hwy6UHzgO5zNIhhNwUk47nG5wihT6uOxUER5dcejaA7zanPs8wkn6Plzi9lO3vJZSeHOOp2/UF2sJIdDONETqGl50UOB7z5pv7jbscO6NED9rgljcTEwPPPwx13VOjnqwoyByVEDROfCK0H+j/viIUBT1Vef9ayq1xwKrWU7bQySR/3diJNQtKntqSG5D6l4onhPgbzXwbTm9a0J40mJNKMJLawj0Vs9hmcSm3jgEdwcjeNVRywO6zZtCns3g0HD8L06bBunX7Dqmhw+v57fW+HA2JjYfBg/RYXZhKghKiBrv4ZOlxY/nhCYxizR3/OVJZv+dP0/Fb2cTptbN2rK00Dfr6vfLdTaUUoVxPlc5RPWIwDB0coYj17yCKHvznIMrYz00+Atusrlgd2QWIinHsutG9foecCcNllMHw4ZGXp4cOjR/VQYkoKLFlS8fubkCE+IWqoy77WVWxWfwb5+6HzpZAQ2hcHWwooNj1vAL/5yLLzFoODySwIUa9gFKfwOaH7gN3AXn5mDSvYEbJ7ltpJTsjvactPP8Fnn/k/36cPFBaG7fHyBiVEDeZwQNcroNftlROcsjjIb2xgA7tDfu/2pLI1iMy7GD9VJDrSiFs5k4aErgbdAjaF7F4R4YYbzM8XFenCtWEib1CiWtmzZw9ZWVl0797d9FhNtuB5WPAcHD0CKR3g4k8g2d4IWdhsZi8f8wdOtyQGBQEnQfiTRBx/sSuoa88wGT5sQAI3cSYAc9nAHCJzXVATEqvmwTtsvA1+9hkMHRqWx0uAEtXGnj17GDBgACUlJSxbtoy4uDifx2qqolx4Ng2K88uO7fwDJraFnrfAsElV06/d5PAB5QuUGhBU3TpfDga4XqpUHWJZzx4y2csA2pvW8+tBs4gNUCOool++oqOh2HyIlvr1w/Z4GeIT1UJpIFq9ejVr167l4Ycf9nmsJpvY3jM4uct4FTaEb6TF1GchnMcJldIPtjyK+JuDbGU/77GI8czwmQoOkEA8dalVeZ20aTjdfJZpqhR26vQ98UTYHi/VzEXEcw9E9WnDQTajoqB169ZkZmZ6HFuwYAHp6elV3eWQy9kBLzYzb1O3KdzjuyB4SPzASpaynRIMFNCKBlzMyTzLT+F7aBjEE8N/8F0uqAgnE/jJZxA7jRPYwQG2hbECxcX0YC4bKKCIQoopdPUjBgdn0IbTLQrO5pDPUZw0CNW8Wn4+1Knjv/bfGWfA3LkVfoy/aua23qCUUh8qpXYqpQ4ppdYrpa6vcI+EsME7OF3HAk5jDCUlJWRmZpJKZ65jAb25m5KSEkaPHk1BQXDDQZHMauEthK98kRMnzzKTDLZR4kraNtDzTs9Vs+AEOiX8G5bh9BGEYnFwH4MZTjeSiKcOsbQmhXs4i7PpxGj60J/2RLt9dNYhNmR960xjBtGRQxQeC04AR3Eyi/W8zXyf133HCh5nGi8xi0n8ymNM40Mfw64Bi4+HtWv1P7316xeS4GTG7hzU08B1hmEUKqU6AnOUUssMw4i8d3tRo2RlZVHiKt1ykM0s4DnO4AHW8x2KKK5hNgAbmQ5AVFQUeXl5NW4uKsbH50M5Id4mqNRUVvhdZBre8ZfwWUEWK8iiE40ZRY9y50+mOSf7SfDoR7tyW2e8zCwO4mf8NUCf8Iffczs4yEp2eKwH867IXmoTe3mRX7gbk1XbdrRvD0eOwKJFurRS/frw4IO+g1aI2XqDMgzjL8MwSpPdDdefKs4bEseD7t27s2zZMsaOHauH8HiWtzmNvtzLNcwmCgeTGUA2q+ncuTOzZ88mJcV+ZYLq4lQbhQDSuoTn2asIX2XZ2sQwgu7EExO2Z5hZw06+DmAR7H5yWcJWtnkFhOGuWnoVkUAtVrPTMui7V+XIJd9ncCp1iALWBpn9WE7v3jBpEjz5ZKUEJwggi08pNQkYDcQDywC/U7JKqRuBGwFatGhRsR6K415cXBxjxozhyy+/JDMzE0UU7RhKAmkcpQDDldo8ZMgQ0tLSqri3wXMWwbv9YcfCsmO1U2HUFGjVD5r0gqzf/V9/0ceh7c9KdjDVogpEKX916KycRzc60sjjjWA8MywX94bSSnZYZsntJIf3WOhRjkgBg+jEaZxAaxrQljQ2+tk40Y7SLeKt5LvVEZzGX5btZ7KajtioIOzlAHkUU0IytcsXrK0ktrP4DMO4FagLnAF8BfhdPmwYxhuGYfQ0DKNnamoVLF0XNUrpPFTpnFPpm9NRCoghjgt5D0UUL7zwAosXh2DcvQo4i+CZJM/gBHAkGyafCeu/hxsWQ0on39eP+ADSTgxdf9awi69ZfmzOyUprGnAqLXG4PlIU0ALz9OMYonx+cNajcn47d7eMbX7P7SeXN/mtXK08A/iJNSxmMwBXcCpR4RpndeNw+9g+ZGNY0awGoC/fsYLHmMZE5vAqc3mS6aGZzwpCUFl8SqnXgNWGYbxs1Vay+ERF+EqSAJjMAAwMLuRdmpHODMawkAl07NixWq6H+mIUrJ7i/7yjFjzoyv3YnwnT74L8A3DCIOj3UOhr6z3D9IDeiGJwcD+Dyx3fwG4+ofz//wnU4h4G+bzXNvbxHovsdzZETqQJIzm53PFXmUO2SbHWKBQPoheqbmQPH5vMIYXCyTQ/NqQ4lT/5E/PUzVQSuMW1GLnUd6zgT/4+9gtIS5K5hFOYwlI2+xkyTCSOuyo6n+WHvyy+YBfqRiNzUKISeCdJzGccG5lOtmsc/m360Ju7q32SxJqvzc87C2HncmjcXVeNuOL78PXFiTPg4boSP9tg1CaWesSV25gwl0Je4GcupDutaeBxrgUppJIQ8K65FbWKLNayCwdRNCGJEXQngVqmwQmgBINsDpNKXdqSxpX04guWBDXkaUWhGErZZOMQTrQMUBdw0rGvnTiZwC/l3qq2st9yuUAOBaxnF+2DGC4MlmWAUkqlAWcB3wP5wCDgctcfIcKqNEni4Ycf5rnnnmNhyQQAOnfuzJAhQ3jhhRc8jlXXJAnDxmfZpl90gLLLiZPPWcoGt3mRJOKJIYr95BMFtKWh6wPMyUzWcogCmpEUcP+TfAzLrWWXaTHWwxTyAYsZTldOxnOu+hbO5EMWs4m9AfelIoopoZgSNrOXCfxMPZsLdw+Qd2x33DakMpyufBloBXILtYnlNs70mA+KxUFvWrPINczorTXJNHH792mWkWnHdNZEVoBCD7XeAryGnrPaCtxtGMa34eyYEKXi4uIYN24cI0eOZPTo0URFRTF79mzS0tIYNWpUuWPVkXJYB6k//gd9x9i7nxMn4/mp3LyJeyq0E53FtoadHm02km3vIW4u9JFk8IXNChPfsbJcgAK4inR2k8NbzMdZRQnth/xPtXtoTrLH90Ft5e7HME6kA2kk+JmbO4fOpJLADFYfe2tT6GG7SznFo+1fFczILAjDRo9mLAOUYRjZ4DWAKUQVSE9PZ9myZeTl5R17S/J1rDpqN0QnQpjJ8f1Lsk9TWOZ3A7xQU0AitT2OrWdXQCFlAZn08TFr0JBE/stQHmdaxK65qoWDDLZSm1i604zV7OIHVlle15AEdlsMY7Yltfxuuj7UIZZONGIduymgGAPYwn6e4SdSSeBGTseBo8J/h/Wo3KFzKRYrqpW4uLhy80u+jkWS1V/CdzdAgatCTlQ09LwVhrxU1uaiz+Hp2r6vd+cs0jviWlkfhu0u/DGAiczifoYcO5YZ4NDcVvb7DFCl0k2GsUBnBAazHXwoFOJktqvI7DQbganUlfRiNhtYZlJQ1yr9PZNsPuZ308CTTS4vM5t/+UlKCcQFlVy0VorFCoH+4P/2BnilE7zREzJDVMHnt3HwxcVlwQmgpBh+fxlec0sYi7WZWW0nOEFoKzzYSZw+SonHgtC0AIe4En38Zr6fXF5zle0xC06xOBgTpuyycIgnhts5kwTiGU43nxUrYnFwO2cSb1JGKZvDfGQRnEodppCt7KNBBYrOtiaFxpW87Ye8QYnjXsbrMO1mz2MfngPxqTDmb/tBwZvTCb/c5//87uU6e6/TCP197VS97smfWuHb1cDU/zGM5/mZPIv5mPlkHlvXdAotA3qbGERnj+93cIC3TXbPdaCIwUEfTjhWQHU0vaskPT0Q9YnnDs7yODacbgynGyvZQQ5H6EhjW8Ve7SzqdfcTa7iEnkziV79tzqUzsUQzg7+OzWc5iKIvJ9CfDgE9LxQkQInjWvaa8sGpVH42TOwAdwcw9+Nu7mPWbX68syxAXfo1vHu6/7ajTHbe9taYeuzkkP0L/Cgrimr9e7p3qnkfTrC1w2wnGlFEMRlsIQYHPWjOZItA04c2DPD6wGxBCv9lMLNZH7E72+aZJBm4V9OwI9A0/EKKaUAC19OXySz0GBJVwEA6kk5rAL91CCubBChxXJtisVgiZwvk7oKEIDJrd5iUJSrl/sbUoi9cNRM+vcBz3ydHLbhkCrQ52/6zL6cXE/jZ/gV+nEFbAFqRwl9e2X7euuG5H8ggOhFLNL+y3m9460bTYyndpX60Ub5nIZvKBSgABw4G0YklbPWoBh4p4qqo5iBwbHiuCUnczxCyOcwW9pFGXVqabORYlSRAieNato1RqAUT4Jzxgd87uQ1kWrSJ9ZqqaXM2/PcI7F0POzOgcU9o0D7wZydQizvoz9ss4EiQqcHNqc8ZruGz4ZxkGqAUHPvt211p5e+95HKYAlKpRxb7iacWzanPU/xIcRDJDVbXnEMXvmNFwPcNt4F0DNm9Ak0MOc+roG0qdUOaDh8OEqDE8c3GDLMRZN3SQc/qtUtmznzI9/EG7YMLTO7qU4d/czZFFLGLwyRTmwTi2cBulrCNaBycRXuSSWAuG1jEJo5SQgKxDKMrbSlbUxaLg4vp4Xfe4zr6mvalAQnH5lVKF3rOZ2NQwQmsEzdOpnnEBagEYgMexjNzOm2PZQ9aGUgHYquo4GtFSIASx7WUDrB3jXmb3ncHd+/YeOh2DayY7Pt8fDKk29hGo6JiiaWF2xBOOxrSjoYebXztceStM425j8FM5U82k00Uis404Vw6BVXt2iwzz8oJWBehjqSkieYkcTW9Q3rPM2jHOnaTRY7fNknEcwEnRewQnhUJUOK4NvJjeKN8fdBjEppAYgV2jBnxHtRJg0UTPCtFNOkF1/pPUotYsTh8bvAXjIosJB5pYz1OC1K4iJP40uaWIaFyDem0pAEHyOMoTlKoE7btKq7ndP5kOzNZQwFHiSKKLjRmOF2rbIuMUJIAJY5rjbvDoHHw873lz8XWgzs2VvwZ54zXf3J2QNEhSG4f+urj1VF9arObw0Fda7Y+yF0XmrGLXOZbzgaWF+weV9+ygjs4i/oVWHMUiJNozkkRknUXarJQVxz3+o6F+w9Dx5FQrzmkdISRn8L9OfYX0NqR2BRSO0lwKmVVJcGf6AA/tgbSkbu81h6ZcRBFD5pzTwDXuDsQoq3fhbxBCQFAbAJc+mVV96Jm+4FVLGXbsT2IUqhNe1JZH2Bx2pOCSDRIJJ5hnGi6ePgaenvM1TgjME39eCMBSggRdi/xCzlee0Lt4wj7OEI/2pLBtmPp8HFE+93y3UEUg932QwrEKbSkkGJ+Ya1H8qYCLuaUcokEDhwogi8blcVBlrGNGKI5g7a2hyWPFwfI4xv+5ABH/LaRACWECKs5rCsXnNz9RuaxHWlLzWMDc7wW+CZTmxvpV6HJ/z60oQ9tWM1OdnOIViTT2iQj8CSasdxiQ0Bv9YgrtyPxIjbTkLrcRL+g+16TTGEpqy0WfoMEKCFEmC20SCcvwWAr+zzeYM6gHWfQjhzyyaOQhtQNaVZaZxrTmcaW7c7nJLLJZQcHbd/be/fgUrs5zCTmcCv9bd+rJlrIJlvBCSRJQggRZnbSyf1tkphIPE1IqtKU6evoy02cTlOSqEstmpHE5fQstzdSEvGcRBPTe+0lj5zjPIliDutst5U3KCFEWCkUhsVMTqqN6t1VqSGJ5apl3O212BlgHDMs7/UTa7g4RGvJqqNAyjPJG5QQIqzau5VM8se70Gx15bTx4VvoJwFElCcBSggRViM42bR2Xh9OqLS+hFsy1tsidyaI0vg1SCA1ASVACSHCKhYH/2KQK2m7vEick5nHBt5mPh+ymD0B7Ks1EpO6WeiU9pOpQO2sGuBcr80pzcgclBAi7JaxDaefeai/2Eky63zu71TZ1rCLL1jicew15pFIHLfT3zJZI4169KQFGWzzef4qeoWsr9XVybRgJzl+/47cSYASQgQti4NM5U9yyKcW0ZxFB5914eaywfQ+88ms8gCVQ3654FR2roDXmMdtNlLEh9KVLjQ59veiULQgmZGcRAIhrJ1VjQ2lKwPowHesZK9JPUYJUEKIoHzCYjaw99j3RTiZygpmsoZ7GOjxtuHv7alUCQZOnFWaTv4ly0zP7yOPXApJoJblvVqSwp1B1vI7XsQTyyWcAsBtftrIHJQQImAL2eQRnNzlc5S3mV/JPaq4HRywbDOfEJS3F7ZJgBJCBGyOxU6uuzjsUWzVagdcBdVi/yI7aeQidCRACSECZqc6xCa3N6zuFvsVdbGowFAZ6ttIEe9Jy0roiSglAUoIERaxblPcw+lGI+r5bJdKgmV6dmW4wGJ/qlpEk+bnZxDhIQFKCBGw2ja2jvDevuJGzuAfpJNCbWoRTTK1+Qe9uIUzw9VN9uzZw/Llyy2PATSnPn1p4/M+USjuZEBY+ij8kyw+IUTAzqcrn/pJyQb8VgpvTQNuq6QP+j179jBgwABKSkpYtmwZcXFxPo+5G0hHetKSr1jGHg4TTRS9aMUZtKuUPgtP8gYlhAhYexoxgPY+z7WgfpUXQy0NRKtXr2bt2rU8/PDDPo/5kkg8/6QP93IuYzhbglMVUoYR7H6R9vTs2dPIyMgI6zOEEFXDiZOZrCGLHOoSx1A6V/liVPdAlNymMQc270YBrVu3JjMz0+PYggULSE9Pr9L+ClBKLTEMo6f3ccs3KKVULaXU20qprUqpw0qp5UqpIeHpphCiOnHgYAgnch19uYRTIi44XbfgWfqMuZCSkhIyMzNJ7dyC6xY8S++7z6ekpITRo0dTUOB/t19RtewM8UUD24EzgUTgQeBzpVSr8HVLCCECl5WVRUmJXqt0YPNuFjz3FWc8cAkNOjYjtXMLRs9+CoCN05cCEBUVRV5eXpX1V5gLaohPKbUCeNQwjC+t2soQnxCiMhUUFPDwww/z3HPPUVJSQoOOzTj93otpN7QnUY4o3ul3H9mrt9G5c2dmz55NWpr1flUivIIe4vNxo4ZAe+AvkzY3KqUylFIZ2dm+t3IWQohwiIuLY8yYMbRu3RoAFRVFu6E9SUhLIqZOHIbrDWvIkCESnCJcQAFKKRUDfARMNgxjrb92hmG8YRhGT8Mweqampla0j0IIYVvpPFTpnNPo2U8R5YjiaEERMXGxjHjvX6ioKF544QUWL15c1d0VJmwHKKVUFPABUATcHrYeCSFEkLyTJErnnN7pdx+v97iLvxevo1l6B0mSqCZsLdRVSingbaAhMNQwjKNh7ZUQQgTBO0nit3FT2Dh9Kdmr9eZ4b/X5D73vPr9ckoT3gl0RGey+Qb0KdAKGG4YRefszCyEE0L17d5YtW8bYsWNRwMIJ3xxLiBgzZky5Y7NnzyYlJcXqtqKKWGbxKaVaAluAQqDY7dRNhmF8ZPUAyeITkcBZBHMehYNboN0Q6HZVVfdIhNvixYsZPXo0UVFRx7L1fB0TVc9fFp9UkhA13pdXwqqPPY+pKBg1BTqNqJo+icpRUFBAXl6ex1uSr2OiaoUszVyI6uT7m8sHJwCjBD4fCTvLF7UWNUhcXFy5QOTrmIhMEqBEjbbkDfPzUy6pnH4IIQInAUrUWJk/ARYj2Ps3VEpXhBBBkP2gRI2Vtzv091w4AbYvgJQO0P8xcDhC/wwhhCYBStRY7YZat4m2WXx78USYfhceb2S/PQWn3gZDXwmqe0IICzLEJ2oEp7P8sfhkqNvM/LozHrC+95qvYfqd+Bwu/ON/MNv3vndCiAqSACWqrZWfwdN14VEFT0Trf77ZW695KnXLKoiK9X19k17Q70Hr53x7vfn5eU/Z77MQwj4JUKJayngdvroMinI9j2cthnHJZW9U8YnwwBE49XaIqQ0qGmo3hJGfwg0264QW7Dc/bxRDrhTtFyLkZA5KVEs/3Or/3NE8+PE2OO81/b3DAUMn6j/hUnAAEqRwvxAhJW9QotpZ87VeaGtm+Xuhe56ykalXv03onieE0CRAiWon63frNu7zUBXV/Z/m5xv31M9b9CLMHw/5bkOCTifMuAdeag0vtdH1AIUQ9sgQn6iw7Yv0PE3LARBrM23bl99fgd0roGU/82KuTU+zvpfDT2JEMM5/E7bNhX3ry5+LqQvOYni6dtmxn++FpBP0de8PwiP779dHYO7jcPNySDsxdH0UoiaSYrEiaN/dCEvfwuMDuEFHuPnPwALErP+DeU94HlNRcN4b0OM639c85jAf5ktuD4UHgSjocgmcM6Hii2qXvQc/j4WCgzrhos+/Yek7kLM58HspBzxUbN1OiOOBVDMXIfX5xbDmS9/nYhPg/sP27rNwAswc4//8FdN8L7hd+jZ8Z5H+7a31QEjtAgOfqdibXqmsJfBmuf+l7Bv8MqTfUfF+CFHdSTVzETJF+f6DE+jU73lP27vXz/ebn//6Gt/He1wH57wMjlr2ngOw+Rf4/WU9HPfhEPvX+TP97opdv/TNivdBiJpMAlQ1sfIzGJeiF6M+quCZJP0WURVm/su6zYLnrNsU5UKJRTJD/t7yx7LXwFN1Yead4Cx0HVSQ1Nb6maUyp8NnF9lv70vBwYpdr+T/PiFMSZJENTDj37Doec9jhTl6iGv7ArgggED1+ysw60EoPARKQbM+cNGnkNi0fNuifFjgykrreiU066WP52y3fs7RPOs2+RYLYH3JzYZJXShfdsiAgxsDu9far3SWXbBzU81Pg+xVwV0Luo6fEMI/+R0uwhXllg9O7pa/Azk77N3rnb7w4x06uGHoJIPtv8GLzfR8irsPztZDYb8+oofF3k6Hp+rA/kydZWcloZGNNj6Cojfvt4wpo7DcQiMQKz+y164oVyeFfHyenjeDKepttgAAHLxJREFUihWJjYqBU24I/nohjgcSoCLcN6NttLnaus3St/Xblj/v9C37evJA2PRz+TZHj8DEdtDrTkCZP++816375HBAw+7mbTpd7Pn9tnnW9w3E1Gth/ffmbT4apmv+LX0TNkzTSR2PRsFfn8O5L/i/zl8NwKgYuG1N8H0W4nghASrC7bExhORrfY63n8aan3cWwpa5elhvyyyThgZMHQ3DXvXfJLEVtD3Xuk+g6+HF1PZ9LqEJjPrM6/EWFSQC5oRPhvsPUlOugI0/+DhhwNf/0EOk1y50VZJQ+k+8azdxX/NrKgru3Q/JbpUninDyOUt4gh94jGk8zXTmsK6CP5gQ1Z8EqAhXu4F1m/j61m3sTOiv/Qrm2Ng6Yt1U6HkTXDzF9/mcLfBKZ11d4bsbYVJXeOeM8sOIoNdL3XsI0u/SezOpKIitC2c9BWN8DF3G1LHuXzCmXOb7+F+fmF/3djrMHwd3boSHS/Sf4nz/7Y0S+OSCsu9zKWQc01nLLkpcY5dHcTKXjbzELwH+FELULBKgItywSdZtmpxqXdonykYiQN0mcMRH1py3Elel8B9v999m3xp4opYeFstepee63uwJL7Yuv3eTwwGDX4T/HoGHnHD/ITjDT/r56fdZ9y8YR/MgP8fzmNXQX6l138Dzrvm0nG16KNTMltllX7/BPL9TajkU8D0rAHDiY8MrIWo4yeKrgJ3LYcWHUCcVTvtXaMvrlGrYDVJPNM8WW/6O/tP+Arj8G99t2g6B9d+aP2vJW3A017wN6ASI3GzI22Xd1lvOFnjrVLhpaeDXgt6/aeUnsHd1cNebWTcNul9R9v2RALIMc7NgwfOQ3M5GYwPmPgHxrYo4fGUhymQ+bynbWUpZ2qSDKAbQnj5IdVpR80kliSDsz4TXTiqfSt12MFz5Y3ie+cFg2DTDup2/ILV7FbzWNTR9uWKaHjL86srg73H/kYpVc5j7BMz+v+Cv90dF6zqArQZA2/Pg+RT719ZKglv+hBdb2ryg2RFY/ysqPvCJtVNpyRCkmJ+oGaSSRIgU5cMr7X2v89k4Xadnh8M/psODxdDoFPN266f63v48VFULOlyoSw9ZbaVuZYlJkoUdJ15esev9MYrhz/dg6jWu4GSRreiuKBcSW0CU3XGJwzEQFdwviH+wVYb9RI0nASpAU0ebZ5Jt+lkHsWAU5eo1NgueL5sP2b1CJxk85tDbmu/ykWjgbaGPKg525qCs9LgFLvtaf92qX8UqIZS4CqXmZuuK349F69TtcSm6KKuVP98P/tkBCSB+HMtGtPv3khMDi5MC7dExM5FcdVGzSYAK0Lqp1m3mPhLYPZ1OePUkvdZm5hj46d8wPgmeTdNDidmrAkuvzttd/lhvk4Ksdv35juf3nUcFf68e1+s5vOfTdI08wwkYetuOb/8J7w0wvz4uMfhnh0uff+t/WpVv8vCvLhh5wf32sJRtQV0nRHUhASpAJTa2SMjNDuyeL7eGPSvKHz8S4H1Kdb6k/LHEplCveXD3K+Us9PzZ/l4U3H2SToD4ZHjHZF+nrXN0Aoo/vUwyCKtCXDKcGcyc2NJEGJiOsSpBB+kAODFYic0yIkJUQ5LFF6CEhnA4y7zNiZfav9+2+XDIRm07u6LjoXlv/XV+jq4ysWORrvrd82Y9hJi/L/j75+2EhFT9dU4Qv8DXSoLb1+ifu7jAvO2Me8o2Lpz3tE6MKHalcMfWC/zZ4RIdD//eU/a9itZzWbYtrg9dz+TMtTtwdjhMW1I5RAFfs9zy0q9Zzi4OcTadAu+4EBFOAlSAzntdVx7wJyrWfhUFgJn3VLxPxyi4wbUd+qIXYYZX1fFZ/9X9u+hzWDAOivLgwBYosQgU7hp0dPvGxvxMcjsoPKz3iOr3kA5w0++2DvJQtibr1ZPKv2EWHbLd5bBLbutZcLbnzfBHgHX6ouOhfwfP4oTf8idOG3/JC9nEGnZxJxbjokJUMxKgAtT+PGh/vv81RdeZ1LvzpSCEH7RjD0B8IhzYXD44lSopgu+u04thQSd0PO2n1JC3pFaea73qNPQ93+XuwGb9NpEHTLVRM9CDAY/XCnBOpwr09SojNXSizpo8thWIDdf7GC49meZk2JxnOsgR5rKBfthZiCVE9WBrDkopdbtSKkMpVaiUei/MfYp4l0+FkZ9C7VRA6SGd1gNhzB5oYpEG7q1pr9D0qVkfHZwAvrAYYiw6DH+73rRi42HsPsBinl5Fw41eGYTnvWHdr4CGunyI9OAUHVc2DFlq53J7wUlFQYt+MGanXpDt7Vw6B9SX+WQG1F6ISGc3SSILeAJ4x6rh8aLrpfCfPbr22kNH4eqfy+ZmAjHstYr3xVEL/uFWfXz3n9bXLHqx7Ov4ZHiwEGqZZMaN+kK3c9fxfF1DryZo2jvwa2IS4C4fLzjTbrW+Nq2bLuv0z1/9b03iwEE6rWz356isixI1jK0AZRjGV4ZhfANUYHpd+BIbD4PG+T8fZ1IIVkVB26F6uM69KoNZ6ZxSjhjP7xeMd+0T5ccUPynlg1/UbwCtB0KdRpDcHlKq4Xx989Ng5EegfLxJxtTRc2l97tM/5wmD4KqZ8MBh37+U2ElCKThg3eZ3NrMM+xk0AawpFqJaCMsclFLqRuBGgBYtWoTjETVK37HQvK/evuHgFn2sXjM4/21oc7beeXbRS3q4q+ftvne/ddfy/9s78/CoqvOPf95MFoLDTgIpKAQsiqBFwKpFEVkEtVUh0griUi0qruVRa+vSn4hLS61tf66lFaUC7oiACnXFrSoiyCKLIKhQkAAKCYSETE7/ODNkljtz751JvHfgfJ5nHs295855Mxnu955z3vN9T7au5xTNybfE/vzuPanb19XC2vnWCSDB9noEWVMJG97SJSqyjcF/0OtrR4+GVbN1mnvLLlB8FBQd5awAY4R2R8MOmxIobY/QBrBv8Tkb2E4BuQzlKIpoBsA0PuALl8+DXUljCG8w+JhGESil1GRgMmgvvsbo40DjsH5w3RfW5wpbw6kTnL/X8Bl6A2wygiXQtlvssRoHJrHrkghUTSU81BN2fuk8xhhygIau8+SCXpfEJX8Uwyf/1Gt1EfKawi9m6QcGO855HFY+n7pNtxkbuYvYudiHeZvWNOVMeroWJwGGY1P90WDIMsxG3QOQYBGMmoPlnE9hG/j1hsTjOXmJx+JpazF1FwrBpDYZiBPaaT0T2nSHQgd1s3LjshUloEevZz9af2zzEr2BOFqcQJfQmHYarH/Lvp/8IJx4o8UJUZAfIveh5cwvsl4o3MEepvORfSdRNCGXaxlIIY1gp28weIhJMz9A6fZTuHUfLLgdPp+rb84D74LSAdbtu5fZF+frMzbx2Lxr7GtR2bHpQ73+k647esVG7SL/2EnJ21y4AEr7a0HdsUYXebSatptxZuq+nhmhK+La0WWQ3me26Il9UJmr94wpgTxF7YTD4aTtyNHWw1Yng8kOtKQ3h9GFtrQgA1t4g8HHOE0zzxWRJuhk5ICINBERI24pCIVgwUR48VJY+YI3MQQCMHAiXL4YLn0vuTgBDH8c21X2125KPLbk8fTji1C1Q6/9/G4P9Bytky1SJYfEU1erp0gvfDOx4m5+EC4KixPoz6Soe/I1pUqbDcR2yQ3PjYYJAtOHwaIptVArWpgiH+7uXPimAAaciNqV/j+hYppxLIcacTIc0Dj9F3IrEF0MfAwwAbi9oQM6EHjhIlga5ba9ZIqeThr9kjuXie+T2WOxdYZ4bxKcMD725p7p6AkgJ/yYlF8IZdPdbR4GKAnvPSsdADdXar/A8mVQdHR6qf921FRZ17J6Ykhcckptjn4lIFCdA1M7wDXpzY0O5Uj7RgZDluM0zfx2pZTEvW5v5NiykrlXxIpTBBXST9XlPqyQEApZx2zFzLhNqU3Srxaxn65xoj33MnfXlz0V+3OwCEoH6qm8WZfAy1e7N/BNhZU4Ve2wyJzMSzFZtzsXZiVPDcxJMZztQhvyzXqT4SDAJEk0MIts3BWeyaBERWNhVT8qGd8si/15kE16ui0Cw6fHHlr3b+eXD7m3Pu2+pgqWzYCFj8CdTfWa1KePwcIHdVbjgz2tizlGmDrIvr9WSSqtz7OyllI2c6ZiPWQNks9vGEwzmiSc604JY0hjV7HBkIWYdaQG5POXsZ0m2/ZZ4/T91Xvw3C+gIlx9QXLgyOFQ9nSskakVbtzU8+Km3vqM1SMUO0uinDyo2xd7LLcpXPZxvUVThL0OkhByC3VafrC9Fp1HesK2Vamv2bYCHjoKrlmdeG7rctjwhk2nOXDJf6xPVVhVvahJ8fx3SC2cuznhcC45XM0p5JPPeAZRRQ2fsZkm5HIk7QnYeVIZDAcQRqAakIrE+00ijbArbNVsePrsuG7q9F6c+0q0JVMqjjhbjzKc0PdKbeVTVwvHXwvFPXUJ+NWzUl9X3BN+tRA++htUbNElSZL5FtY5cOw5rH/9WtikNlCTwgUjmh1rdJmQFnH7x2dfan9t6cDka1qdTtGFF2OoEygIQXWcqEgdNA1RPLySAlpRTgV5BOhHV46nNKZpIfn0oZN9cAbDAYgRqAak21n2beL34jQEz5YlP7enHP79GzhtUvI2XYdYj3CseD3KufuTf+hsu7GL7AXqrCl6JHeig/IiOQH7wpAqBE+dA3t3OhenCP++EUY+HXts50b76ypStDnpZnjr9xYnqnMgUAf5Smf05ddBmxraTV7PFe1+YvleIUKNPlLaSRUb2UERzSjGR8W1DIYojEA1IMEinSK9e0vyNif/rmH7XP+G/c184QOpBQq02ezUU1I0ECxHf3u/1dNmR4+BZUkq4HbqDyUuTA46nghfvZO6zXobK6dUVFuUOGnW3j7FvHkK165AQBv/vnRF/BmBkJBXGCKv526K++1j1MQW5Ad6xLRay1aeZzHV1P8xiwlyCSc2aELEVnbxGP+J6ScH4XR6mJGawXeYJIkG5qoVujSFFSV9of+tDdvfF/HTShbYVa4F6Nwfrv0C2vdh/5adnDxtjjpyJimnJkN7ddmQUydqZ/UIkqvdzi9eYN9/NCNsNgxnSs9RiceclA456x+pz/e9XO+5ihayvCAM/QvcvD3AjQuacdHdrcmPWxRcyRZmsDBGNAC2UskkXqOmgVzKd1LFI7yT0E8dipdYziIysAMxGBoBM4JqYApbwy27Ye44WD4DQvv0NNhpf4Zebgv2OaC9g5FJjsO/cqtSuPzjxONTTra/9v17YfyXDSPALTpoq6Ynz6LB1+wkYP13+EEf/QCx2eL3B+g6LHHdyorO/fXn4IaZfJL0XB2K5/mEURzn7k0teNLGQukVVphRlMFXGIFqBAL52t8t2uOtsegxEp5LMv0Wofu5mfWxz4GRrJNRmhu6/VTX2npvEqyeAwXNYe0rZCxYF6bI1LtsIbxwMSx7QieZgBa0466C0/+WWb/xrKOceSyngmrbsu5rsc5yWcYmXmE5e8MjogJyOY3uHIu1km4l9R+yDsU2KmlL0MFvYDA0PkagDgAG3QOv/9b6XE5e2MYoA7qeBluWpG5T0juzPpLR7zf1JdUnpFnwSHJ1Daey6YlFF+MZ/rh+RRwyAo2wH/YB3mQHexy3t5Kv+azgQzbEHKumljksYyPf8TMsSvQ64Ft2G4Ey+AazBnUAcNJNMOz/E2+mrQ7XxqaZ3mRPvdu+Tdl0+zbx1FRp77q7msLEPPhb19Ru4QVpuFaMeEpXPB7zir04RRPIbxxxeoqFrsQJEi0Sq6hJEKdoFvM1O6myfR8rOuLCBNFgaGTMCOoA4fhr9KuyHPZ8o0tQ2G3QhXp370A+tE7ikhAIwLnPwHM/tz4/6A/ubv4AO9bBA93qp9IAvvsC/nWqzggc8UTiNUMmpbZBym+m14lqq7Wb+OkPOvsM0mHnJph9MWxfC03bwBkPQccf21+3Jsl0XSp+SGxxr9kstb1mNp9yQZzjxJGUsJLkm/UKyTMlOwy+wgjUAUawyLlB6tTBsCE6C1DgRxfDOVMS2/YYCR03wsxRsPEDUAraHgnnPqk34brlkWNixSmaZdPgmDGJxrp9xsKqF2HtS4nX5OTpOlduhTKaD++H8hU6c7FHCkuqFy6GpVPrf965AR49XtfLuiqFU0ilxajGCa2I3TxXbrOWBLDNos0IfsS9lCdk8UW4FOt9WQaDVxiBOkj5a2eLIoNKe9ft/BJ+/iy8facu1NfnCr2PqUUH+OXbmff99Qf6fVMxZyyM/yrx+Plz9d6v2ZfCrv9CbgH0/hUM/lP6o6XXbtLJGBEW/R2ez4HhT+gyINF89HCsOEWzbSXM+CmMnpusp/Rm1D9kAy1put9loil52LlBNbUYCQUIcAODmcWnfMbm/WtbJTRnFH0JmtIdBp9hBOogZM3c1BVwN7yh7YMiLPo75DfXHnbJ6ii54dPH7dtUpNg0WzoQrlufeRwA79wTK04RVJ0uoBhsr/uLEO2kYcXnL+lpUyuxDFKQbL+zLa+xar9AnUlP/s67KdsPo4fl8QAByuhNCvMRg8E3GIE6CJl/vftranbBfYfCLXszX9cpdLAOL99T+o6lPVEUz58PN0Qt29Q4SLn/Zklyn8HeHMoiXLjzhglRt98CqR0tKOIQytlt2bYFhXSijeW575O1bGU2S6mkGoB8AgzkCH4c5zdoMCTDZPEdhOzZlt51qhbevDnz/p14FpY6KH2RKZVb7G2iUtlWpcOZHEOXBhCPcQywfJ9DacV1DLS44vvlfdYxg4X7xQmghhDz+IynWehhZIZswoygDkJaHOaspIUVi/4Jg/+Yft+V5TDFwVp8OmnryZh/A3x0f31JkOAPYMR0aJpGQkV+M6ipSN0m2egpwhhOoJIq5rCcXVTRliArUmTXRYg3kB3DCYQIsYEdKBSltPFFOY4QIV4jee2T1WxlMzspoUXSNgYDmBHUQcnZj6V/bajavk0qnvuFfZtfvp9ZNl40Dx8DH/w5tl5V5X91OvumRfbXS9z9fsifUrc/4uzU5yMEKWQUx3E5/SmjN91JvbhXSlvL4wECdKWIwyn2hTgBvJpCnCK8iM3Ob4MBI1AHJSW9oMtQ+3ZWtDkys76/cpAFuGUxPDsS7iyAOwLwp3aw7Gn76+JZ8i/Yuiz5+TmX6lT5VBwdV+K+7+XQe6x12+Jj4DybsiPJGEkfywq6oDPyRtM3vTf2gE18Z9vmuzRT7g0HF0ag0uA/98E9zbT1zoQceORYvfE0m7hgHpxye6z7eL6DskBlMzLrN9nep2heuQo+e07bDak62LMVZp4HU10urbx6g10w0Hsc5FrrAi06WdtE/WwyXL8VDj9Du3V0OBEuWwzjPnUXXzzjGcQwjqKQPHIQmpDLELpzA0N8MzpyQpAC2zYFZnXB4ADzLXHJP38Cm6LLfiudtXX/4XDh67EpyX5nwP/pVzTrXoVpp1m3P2E8tO2WWZ/5zXRGYDpseBMW/UNv2HXC3m/t22x6H35bCfOvg8VT9BRmXhD631LvAWhFsAjOt9gwnClH0J5a6jiEfHryg6wSpgjD6MFqvknZZgAZfpEMBwVGoFywdFqcOMUxbSjc5qAqrZ/pOgSu36w98r5+V49gWnaGc6bCYf0yf/9TJ8D88elf/+pNzgUqt9A+oaFVV502f8YD+uUVlVTzMAuoov4L9CJL6U4JI2kkJ95GogWFdKQlG5NM9TUhN6njusEQjZnic8F8m3LldbV6E2y2E2wPF78Bt9XA72vh2rUNI04AJ/xa111Kl2r75Y39HDfOvs2AO9KPpaEIEeIvvBYjThFWspkn+dCDqDLjEvpZJn4UEeR6BnsQkSEbMSMoF1Q5SM1e9aKuZWRIzmULte/dm7fp8usS0FOjpYPg9ZtSXysuSm6cerfupzbJenyvSxrPTNYNL7MipbvE52yjhhD5WTbdN5I++9Pgq6nlcIqz7ncweIsRKBfk5Gobm1Q4qbpqqHdfjyYUsheoji78TAMBuHE7TD4Wtq+uPy45cPx4GHqv8/dqTJaxybbNAtYwhO7fQzQNSyQN3mBIB1GqgWtqx3cgUg64KYLdFkjT68BTsjVuyN7YszVuyN7YszVuMLF7gdO4OymlEp5kGl2g3CIiHyulsmfTR5hsjRuyN/ZsjRuyN/ZsjRtM7F6QadwmScJgMBgMvsQIlMFgMBh8iR8FarLXAaRJtsYN2Rt7tsYN2Rt7tsYNJnYvyChu361BGQwGg8EA/hxBGQwGg8FgBMpgMBgM/sQIlMFgMBh8iREog8FgMPgSI1AGg8Fg8CVGoAwGg8HgS3wjUCLSWkReEJHdIvKliIz2OiYniMjVIvKxiFSLyONex+MUESkQkUfDn3WFiCwRkdO9jssJIjJNRDaLyC4RWSMiv/I6JreIyA9FZK+ITPM6FqeIyFvhmCvDr9X2V/kDETlPRFaG7y/rRORkr2OyI+pzjrxCInK/13E5QUQ6i8jLIvKtiGwRkQdExLU5uW8ECngQqAHaAecDD4tID29DcsR/gTuBKV4H4pJc4GvgFKAFcCvwjIh09jAmp9wDdFZKNQfOAu4UkT4ex+SWB4GFXgeRBlcrpYLh1xFeB+MEERkC/BH4JdAM6A984WlQDoj6nINAe6AKeNbjsJzyELAVKAF6oe8zV7p9E18IlIgcApQBtymlKpVS7wKzgQu8jcwepdRMpdQsYLvXsbhBKbVbKXW7UmqDUqpOKTUXWA/4/kavlFqhlKqO/Bh+dfUwJFeIyHnAd8DrXsdykDABuEMp9UH4u75JKWVf48RflKFv+O94HYhDSoFnlFJ7lVJbgHmA6wGHLwQK6AbUKqXWRB37lDR+IUN6iEg79N9hhdexOEFEHhKRPcAqYDPwsschOUJEmgN3ADb1mX3LPSKyTUTeE5EBXgdjh4gEgL5AkYisFZGN4emmQq9jc8lFwL9U9lj//BU4T0SaikgH4HS0SLnCLwIVBHbFHduJHo4bGhkRyQOmA1OVUqu8jscJSqkr0d+Pk4GZQHXqK3zDROBRpdRGrwNJg5uALkAHtMfaHBHx+8i1HZAHnIv+rvQCjkVPaWcFItIJPUU21etYXPA2eoCxC9gIfAzMcvsmfhGoSqB53LHmQIUHsRxUiEgO8AR6/e9qj8NxhVIqFJ4O7giM8zoeO0SkFzAY+IvXsaSDUupDpVSFUqpaKTUVeA84w+u4bKgK//d+pdRmpdQ24D78H3c0FwDvKqXWex2IE8L3lHnoB8dD0EULW6HXAV3hF4FaA+SKyA+jjv2ILJluylZERIBH0U+ZZUqpfR6HlC65ZMca1ACgM/CViGwBbgDKROQTL4PKAAWI10GkQin1LfoJPnpqLFumySJcSHaNnloDhwEPhB9mtgOPkcZDgS8ESim1G622d4jIISLSDzgb/WTva0QkV0SaAAEgICJN0kmn9IiHge7Az5RSVXaN/YCIFIdThoMiEhCRocAosiPhYDJaSHuFX48ALwFDvQzKCSLSUkSGRr7fInI+OhvO9bqCBzwGXBP+7rQCxgNzPY7JESLyE/SUarZk7xEepa4HxoW/Ky3Ra2hL3b6XLwQqzJVAITpT5UlgnFIqG0ZQt6KnEX4LjAn/v+/nt8Pz2pejb5RbovZanO9xaHYo9HTeRuBb4F7g10qp2Z5G5QCl1B6l1JbICz21vVcpVe51bA7IQ2+nKAe2AdcA58QlNvmVieiU/jXASmAxcJenETnnImCmUirbljtGAMPQ35e1wD70g4ErTD0og8FgMPgSP42gDAaDwWDYjxEog8FgMPgSI1AGg8Fg8CVGoAwGg8HgS4xAGQwGg8GXGIEyGAwGgy8xAmUwGAwGX2IEymAwGAy+5H/eg0IAF13tPgAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
"source": [
"# Load an example dataset\n",
"data = loadmat(os.path.join('Data', 'ex7data2.mat'))\n",
@@ -422,7 +28379,7 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 23,
"metadata": {},
"outputs": [],
"source": [
@@ -450,11 +28407,12 @@
" m, n = X.shape\n",
" \n",
" # You should return this values correctly\n",
- " centroids = np.zeros((K, n))\n",
+ "# centroids = np.zeros((K, n))\n",
"\n",
" # ====================== YOUR CODE HERE ======================\n",
"\n",
- "\n",
+ " idx = np.random.choice(np.arange(len(X)), K)\n",
+ " return X[idx]\n",
" \n",
" # =============================================================\n",
" return centroids"
@@ -503,9 +28461,22 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 24,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
"source": [
"# ======= Experiment with these parameters ================\n",
"# You should try different values for those parameters\n",
@@ -586,9 +28557,22 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 25,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
+ "image/png": "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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
"source": [
"# Load the dataset into the variable X \n",
"data = loadmat(os.path.join('Data', 'ex7data1.mat'))\n",
@@ -627,7 +28611,7 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 26,
"metadata": {},
"outputs": [],
"source": [
@@ -669,12 +28653,13 @@
" m, n = X.shape\n",
"\n",
" # You need to return the following variables correctly.\n",
- " U = np.zeros(n)\n",
- " S = np.zeros(n)\n",
+ "# U = np.zeros(n)\n",
+ "# S = np.zeros(n)\n",
"\n",
" # ====================== YOUR CODE HERE ======================\n",
"\n",
- " \n",
+ " cov = 1/m * (X.T@X) # same as np.cov(X.T)\n",
+ " U, S, V = np.linalg.svd(cov)\n",
" \n",
" # ============================================================\n",
" return U, S"
@@ -699,9 +28684,30 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 27,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Top eigenvector: U[:, 0] = [-0.707107 -0.707107]\n",
+ " (you should expect to see [-0.707107 -0.707107])\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
"source": [
"# Before running PCA, it is important to first normalize X\n",
"X_norm, mu, sigma = utils.featureNormalize(X)\n",
@@ -735,9 +28741,42 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 28,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "\n",
+ "Submitting Solutions | Programming Exercise k-means-clustering-and-pca\n",
+ "\n"
+ ]
+ },
+ {
+ "name": "stdin",
+ "output_type": "stream",
+ "text": [
+ "Use token from last successful submission (coursera@dbauer.me)? (Y/n): Y\n"
+ ]
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ " Part Name | Score | Feedback\n",
+ " --------- | ----- | --------\n",
+ " Recover Data (PCA) | 30 / 30 | Nice work!\n",
+ " Find Closest Centroids (k-Means) | 30 / 30 | Nice work!\n",
+ " Compute Centroid Means (k-Means) | 20 / 20 | Nice work!\n",
+ " PCA | 0 / 10 | Your answer is incorrect.\n",
+ " Project Data (PCA) | 0 / 10 | Your answer is incorrect.\n",
+ " --------------------------------\n",
+ " | 80 / 100 | \n",
+ "\n"
+ ]
+ }
+ ],
"source": [
"grader[3] = pca\n",
"grader.grade()"
@@ -763,7 +28802,7 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 29,
"metadata": {},
"outputs": [],
"source": [
@@ -804,11 +28843,12 @@
"\n",
" \"\"\"\n",
" # You need to return the following variables correctly.\n",
- " Z = np.zeros((X.shape[0], K))\n",
+ "# Z = np.zeros((X.shape[0], K))\n",
"\n",
" # ====================== YOUR CODE HERE ======================\n",
- "\n",
- "\n",
+ " \n",
+ " U_red = U[..., :K]\n",
+ " Z = X@U_red\n",
" \n",
" # =============================================================\n",
" return Z"
@@ -823,9 +28863,18 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 30,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Projection of the first example: 1.481274\n",
+ "(this value should be about : 1.481274)\n"
+ ]
+ }
+ ],
"source": [
"# Project the data onto K = 1 dimension\n",
"K = 1\n",
@@ -843,9 +28892,42 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 31,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "\n",
+ "Submitting Solutions | Programming Exercise k-means-clustering-and-pca\n",
+ "\n"
+ ]
+ },
+ {
+ "name": "stdin",
+ "output_type": "stream",
+ "text": [
+ "Use token from last successful submission (coursera@dbauer.me)? (Y/n): \n"
+ ]
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ " Part Name | Score | Feedback\n",
+ " --------- | ----- | --------\n",
+ " Recover Data (PCA) | 30 / 30 | Nice work!\n",
+ " Find Closest Centroids (k-Means) | 30 / 30 | Nice work!\n",
+ " Compute Centroid Means (k-Means) | 20 / 20 | Nice work!\n",
+ " PCA | 10 / 10 | Nice work!\n",
+ " Project Data (PCA) | 0 / 10 | Your answer is incorrect.\n",
+ " --------------------------------\n",
+ " | 90 / 100 | \n",
+ "\n"
+ ]
+ }
+ ],
"source": [
"grader[4] = projectData\n",
"grader.grade()"
@@ -864,7 +28946,7 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 32,
"metadata": {},
"outputs": [],
"source": [
@@ -913,7 +28995,9 @@
"\n",
" # ====================== YOUR CODE HERE ======================\n",
"\n",
- " \n",
+ " U_red = U[..., :K]\n",
+ " print(U_red.shape, Z.shape)\n",
+ " X_rec = Z@U_red.T\n",
"\n",
" # =============================================================\n",
" return X_rec"
@@ -932,9 +29016,31 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 33,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "(2, 1) (50, 1)\n",
+ "Approximation of the first example: [-1.047419 -1.047419]\n",
+ " (this value should be about [-1.047419 -1.047419])\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
"source": [
"X_rec = recoverData(Z, U, K)\n",
"print('Approximation of the first example: [{:.6f} {:.6f}]'.format(X_rec[0, 0], X_rec[0, 1]))\n",
@@ -962,9 +29068,43 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 34,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "\n",
+ "Submitting Solutions | Programming Exercise k-means-clustering-and-pca\n",
+ "\n"
+ ]
+ },
+ {
+ "name": "stdin",
+ "output_type": "stream",
+ "text": [
+ "Use token from last successful submission (coursera@dbauer.me)? (Y/n): \n"
+ ]
+ },
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "(11, 5) (15, 5)\n",
+ " Part Name | Score | Feedback\n",
+ " --------- | ----- | --------\n",
+ " Recover Data (PCA) | 30 / 30 | Nice work!\n",
+ " Find Closest Centroids (k-Means) | 30 / 30 | Nice work!\n",
+ " Compute Centroid Means (k-Means) | 20 / 20 | Nice work!\n",
+ " PCA | 10 / 10 | Nice work!\n",
+ " Project Data (PCA) | 10 / 10 | Nice work!\n",
+ " --------------------------------\n",
+ " | 100 / 100 | \n",
+ "\n"
+ ]
+ }
+ ],
"source": [
"grader[5] = recoverData\n",
"grader.grade()"
@@ -1168,6 +29308,13 @@
"ax.grid(False)\n",
"pass"
]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
}
],
"metadata": {
@@ -1186,9 +29333,9 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
- "version": "3.6.4"
+ "version": "3.7.6"
}
},
"nbformat": 4,
- "nbformat_minor": 2
+ "nbformat_minor": 4
}