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TB Lecture 5: SVD approximation (matlab)
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Lecture 5: More SVD"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"One of the most far-reaching ideas from this section is the use of the SVD for dimension reduction. We're all swimming in data, and the SVD provides a way to reduce large data sets to its most essential components. \n",
"\n",
"Here we load data about all the votes made in the U.S. House of Representatives during the 111th Congress. "
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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IgZwXzCfLXHB1LAMoYLkB+3rp9N4u2R0NLTkTRW8IhbCUpbjs9ge7VYcnHN3m9etoaDHN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\nO+RjZCkAAAAASUVORK5CYII=\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"load hou111kh\n",
"imagesc(A), colorbar"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The rows represent voters, the columns represent bills or other vote items, and the color shows the vote: yellow is 'yea', blue is 'nay', and green is 'no vote'. Each row is the fingerprint of a particular representative. As you can easily see, there is a great deal of dependence among those rows, indicating party affiliation. \n",
"\n",
"Extracting meaning from the data is a bit cleaner if we use the difference of each vote from the voter's average vote. "
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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HfdzfaS7Hg3mVM2/Km3PC82ZCifALW3svDXUqPqI9Qm0ZbY+SBp4hxBPOnDnzRFajg+Sv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+ePS+eJatTZpiqm+oeTzxbtSwqLO5RO7lA6Ob46O34oa0lhsbaF//hAM6qHo4YnodH8QNP4iMB/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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"mu = mean(A,2); \n",
"A = bsxfun(@minus,A,mu); % subtract each voter's average from all votes\n",
"imagesc(A)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We're going to use the SVD to find principal directions in the data. First we transpose the matrix so that it's got a tall, thin shape like we're used to."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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2uXva29sLCwt1Ot2cOXP8aQAAaIOK17IrLS3dtGmTwWBYsmTJ3Xff3dHRcfjw4ba2tscf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\nAJACgQQAkML/B/oehfGs+SiGAAAAAElFTkSuQmCC\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"B = A';\n",
"[U,S,V] = svd(B,0);\n",
"sigma = diag(S);\n",
"plot(sigma,'o','markersize',3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Clearly there's a lot more information in the first two singular directions than in all of the others. We project each voter's record into those two directions."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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xeT5BANAnMzMz+htjjXumBiYfDOnOkMLDwxsaGtrGu3Xr5u7uPnHiRA6Ho7PEAADAtNAV\npAULFugtDwAAMHGdH2UHAACgRXRnSHV1dVKpVPNt2djY2NravnFKAABgiugKUmhoqNrJVRUtWLBg\n1apVb5wSAACYIrqC5O7uLpFIamtrCSEWFhaurq4sFquqqooaC+7g4EA9Rlaue/fuOs0VAACMGF1B\nSkxMjIiIaG1tXbVq1YwZMywtLQkhEonkzJkzW7ZssbCwOHz4cOceIAsAAKCEblDDli1bHj16tGfP\nnrCwMKoaEUJYLNY777yTkpLy7Nmz5cuX6yVJAAAwfioLUktLy5kzZ/z8/IYOHdp2qYeHx5gxY65f\nv/7q1StdpgcAAKZCZUESCoWvXr3q37+/qgb9+vWTSCQPHjzQTWIAAGBaVBYkZ2dnNptdUlKiqsGd\nO3cIHkQEAABaorIgcTgcb2/vmzdvFhcXt1167dq1/Px8Nzc3LU6uCgAApoxuUENERIREIlm0aNHe\nvXvlNyTV1dUdOHBg4cKFr1+/nj9/vl6SBADogLpGsZlqXZ0dqKTmxtibN2+mpaVt3759+/btHA6H\nzWbLHxH7/vvvR0RE6CVJAIAOqGsSE0JUTem9N8wwnlFggtQ8oG/9+vWTJk1KSkq6ceNGc3Pz69ev\nra2t/f39lyxZMnr0aP2kCAAApkD9E2NHjRo1atQoQkhNTY1MJnN2dtZ9VgAAYHLUFySZTFZYWHj6\n9GmhUOjv77906dLMzEx/f39PT0895AcAACZCTUF68ODB4sWLy8vLqT+5XC4hJD09fc2aNdHR0bGx\nsfiFEAAAtIJulF1paWlkZGR5eXlwcHBcXJw8Pm3aNBsbm/379//www+6zxAAAEwCXUFKSkqqra2N\ni4tLSkqaNm2aPB4eHp6dnW1tbZ2cnNyhByYBAACoQleQiouLeTxeZGRk20Wurq6jRo2qra2tqqrS\nWW4AAGBC6Oayq66u9vf3V9WAz+cTQqinJQEAALwhlQXJycnJysqqpqZGVYOHDx8SQvr27auLtAAA\nwNSoLEgsFovP5xcVFZWWlrZd+ujRo/Pnz7u5udnb2+syPQAAMBV0vyGtXr26tbU1KioqLy+vpaWF\nCkokkgsXLsTExDQ2Ni5dulQvSQIAgPGjuw9pyJAhn3/++ebNmxcvXsxmswkhOTk5J0+elEgkhJCw\nsLBZs2bpKU0AADB2dGdIhJDIyMgTJ04EBQXZ2dkRQlpaWmxtbd9+++20tLT4+Hi9ZAgAACZB/dRB\nnp6ee/bsIYTU19dLpVInJyfdZwUAACZHZUF6+fLl+vXrLS0tN2/eTEXwLD4AANAdlZfsuFzu9evX\nMzMzcacRk9E/iAwzDQKAAaG7ZDd8+PDjx4/n5+fPmDFDbwlBh+BBZABgNOgGNXz22WeDBw9OSEi4\ne/eu3hICAADTRHeG9Pjx42XLlm3evHn69OkTJ04cMGBAr169OByOYpt3331XxxkCwZU3ADAFdAVp\n2bJlQqGQ+ndeXl5eXl7bNihI+qHqohzRzXW5ukaxqkWOthZafzkAAEJfkN57772Ghga9pQLM4cS1\npFkqk8n0lgkAmA66ghQbG6u3PIBpMFACGA6Xso3PHwpSWlpaenp6YmKip6cnISQ5OZnD4Xz88cdd\nkxpog6qLb7jyBgaB5uox0fulbNC1PxSkx48f379/Xz6P6qFDh+zs7FCQDBr9xTcAJqtrFOMDbFL+\nUJDGjBnz3XffffPNN3PnzrW2thaLxc3NzVevXqVZf8iQITrOEN4I/VdIXJcD5sOn1HT8oSCNHDnS\nzs4uNzc3NzdXHvzwww9p1sctSgAAoBV/KEgWFhY//vhjWlpaZWWlVCotLi5msVhDhw7tquSAmTAo\nHAB0QXmUnaen59/+9jfq3wEBAXZ2dgcOHNB7VsBoGBQOALpAN+x7xIgR1tbWektFc7m5uVlZWSUl\nJVwul8fjRUVFeXh4dHVSJkTVNX1HW4uvQ7z0nAwAGA26grRt2za95aG5hISE1NRUDofD5/NFIlFG\nRsbx48eTkpLGjh3b1akBIbR3h9ytblS1iNfTRjfpgJ7cq2nydralaaDq1Bm3E4Gc+gf0MUpRUVFq\namqfPn1SUlLc3NwIITk5OStXroyLi8vJybGysurqBE0a9dsSzZiozh2wwCCoffdpCg9uJwKKgRWk\no0ePEkJiY2OpakQIEQgEU6ZMyc7OLigoCAoK6tLsjNyPGT/ODpv9JltQddzh9bSJnajyoqvab9AG\nVMm8vb1NdmCqVkZvv/mHEJjMwApSUVERi8UaP368YjAoKCg7O7uwsBAFyVipOpaN7ttt/gjXTmzw\nXk0TzVjB0X27dWKbpuBy2QtVi+7WNOkzEzBKhlSQxGJxdXW1u7u70qU5aqKjysrKLspLO0z5Sjr1\nmEF99gD9xUPSqbMuDacVULWbtS9b2o3raKoCVS9X1yRW2zkAOmJIBUkkEkml0m7dlL+9UpEXL1R+\nd2M+tdff9ZuOvnXJ7tOPFex0daTZiwUZv6u64rQ3zJem8NBvU9Va9DNx0Ne5Tr8izTYB1DIzoOvv\nVVVV48ePHzx4cHp6umK8pqZm7NixAwcOPHLkiKp1vb29dZ/gG7l37x6Px+voIvqldXV1jo6Oqlak\nWaqLbeoiGWqpqkX0aLbZ6b0wjvdCzx/FTm9T/ysaDcb+kGlIZ0gsFosQIhYrX/qnItRSVRj7BgAA\nAMW8qxPoAOou3ebmZqU4FWHmPbwAAKAhQypIXC7Xzs6uoqJCIpEoxsvKygghLi4uXZMWAABogyEV\nJEKIr69vS0vLrVu3FIPUAzL4fH4XJQUAAFpgYAVp8uTJhJCtW7fKI0+fPj18+DCLxQoMDOy6vAAA\n4E0Z0ig7QohYLJ4xY0ZJSYmfn19ISIhQKMzOzq6trY2JiYmNje3q7AAAoPMMrCARQmprazds2JCb\nm0v9kmRra7to0aKoqCj6UXYAAMBwhleQAADAKBnYb0gAAGCsUJAAAIARUJAAAIARUJAAAIARDGku\nu85pbm6OiIhwcHDYu3ev0qLc3NysrKySkhIul8vj8aKiojw8VD4mzgRlZmaeP3/+3r179vb2AwYM\niI6O7tWrl1Ib9KEm0Esdgg+eFhnWAdD4R9mtX78+IyPDz8/v2LFjivGEhITU1FQOh8Pn80UiUWlp\nKYfDSUpKGjt2bFelyhwSiWTZsmVnz57lcrl+fn5VVVXl5eVWVlYHDhwYNmyYvBn6UBPoJc3hg6d1\nBnYAlBm1s2fP8vn8gQMHhoaGKsYLCwt5PF5wcHBlZSUVOX36tK+vb0BAQHNzc1dkyiyHDh2ivjHJ\neyMjI4PH440bN66lpYWKoA81gV7qEHzwtMvgDoDG/BtSbW1tXFzc4sWLHRwclBYdPXqUEBIbG+vm\n5kZFBALBlClTqqqqCgoK9J0o86SkpLDZ7I0bN8ofzvvBBx+MGzdOKBTKnz+EPtQEeqlD8MHTIkM8\nABpzQVq3bp2Li8vixYvbLioqKmKxWOPHj1cMBgUFEUIKCwv1lB9TyWSyJ0+eeHt7Ozs7K8bfeust\novCoePShJtBLmsMHT7sM8QBotIMa0tPTCwoKjh071nZKIbFYXF1d7e7uLv8WRvH09CQKn3uTJZFI\nvvrqq7Y/I5eUlBBC+vbtS9CHmkEvdQg+eFpkoAdA4yxIZWVlmzdvXrFiRf/+/dsuFYlEUqm0W7du\nSnEq8uLFC32kyGBsNnvWrFlKwUuXLl2+fNnLy8vLy4ugDzWDXuoQfPC0xXAPgEZ4yU4ikaxevdrH\nx+eTTz5ptwH1yHM2W7kYU5G2j0iH//znP0uWLOFwOPHx8YoPkkcf0kMvvSF88DrBoA+ABnyGFBsb\n+/r1a8XIhg0bevTokZSUVFJSkpmZaW7efrlV/GQroiImNWu4qj6U/ykSib7++utjx445OTklJiYO\nGTKEiqMPNYFe6jR88DrNoA+ABlyQzp4929TUpBj54osvKisrv/322xUrVjg4ODQ0NFBxqVQqlUob\nGhpYLJaNjY21tTUhpLm5WWmDVIRaaiLa7UN5QcrLy/vyyy9rampCQkLWr1+vWKjQh5pAL3UOPnid\nduPGDYM+ABpwQbp27Vrb4Pnz5yUSyY4dO3bs2KEYr6qqGjZsmI+Pz/Hjx7lcrp2dXUVFhUQiUfw6\nUFZWRghxcXHRceIM0m4fUr7//vtNmza5ubkdPHhw1KhRSkvRh5pAL3UCPnhv4ubNmwZ9ADTggtQu\nPz+/JUuWKAVTU1Otra0/+OADJycnKuLr61tcXHzr1q2BAwfKm129epUQwufz9ZYtY+Xl5W3atGnY\nsGHJyclcLrfdNuhDTaCXOgQfvDdk8AfALrwpV28mTJigdKNyamoqj8cLDw+XR548eTJo0CBfX9/H\njx/rPUFmaW1tnTRp0tChQxsaGmiaoQ81gV7SHD54OmJAB0BjO0PS0Jw5c9LT04uLi2fOnBkSEiIU\nCrOzs5uammJiYlxdXbs6uy5WUlJSXl7ep0+fnTt3tl06f/58d3d3gj7UDHpJc/jg6Q1j+9D4J1cl\nhEycOLFHjx5KcwvW1tZu2LAhNzdXIpEQQmxtbRctWhQVFYWBOkeOHFm3bp2qpenp6YMHD6b+jT7U\nBHpJQ/jg6YgBHQBNoiDREIvFZWVltra2Li4uZmZmXZ2OQUIfagK9pHXo0jfHtD409YIEAAAMYYQz\nNQAAgCFCQQIAAEZAQQIAAEZAQQIAAEZAQQIAAEZAQQIAAEZAQQIAAEZAQQIAAEZAQQIAAEZAQQIA\nAEZg/f3vf+/qHAD+QCwWX758+f/9v/9XVlY2cODA+/fvnzp1SiKRGP3j15R2vG2kc11hOh0Ihs5E\nHz8BjPXgwYPZs2dTT1/u379/eHj4lStX4uPjo6Oj5ZM9d1pWVpZQKAwNDXVwcNBGstrUdse11RVa\n7MC2mNylYHBQkIBZ0tLSGhoagoODly1bZmFhQQgxNze3tLTUyqz4hw4dunr16pgxYxh49Gy749rq\nCi12YFtM7lIwOChIwCyVlZWEkLlz5/r4+FCR2bNnz549u0uT0oe2O66trjCRDgQjgEENwCxSqZQQ\nYm1trfkqL1++VPqzvLxcJBJpJR+JRPL48eNXr17RtJHJZE+fPm1tbVW7KaFQqGpp2x3vUFdokmdH\nU5JraWmpqqrCo2pA1/A8JGCK2NjY4uLiZ8+etbS0ODg4WFhYzJs3b+HChZmZmTt27Pjwww8XL15M\nCNm2bduJEyf+8Y9/uLm5bdmy5b///e+gQYOoh14fP35837599+/fpzbYu3fv2bNnL1q0yNzcfOHC\nhb///nt9fb1YLHZ0dGSz2bNnz166dClNPnl5ecnJyXfu3KGO8v3794+JiZk+fbpim+Li4t27d9++\nfbuxsdHS0rJ///7z5s2bNWuW0qauXr26devW27dvv3r1ytnZecSIEUuXLu3Xr5+qHe/du3dVVZXa\nrtAwz3bXok9p7969aWlpGzdutLGx2b59+40bN16/fm1jYxMSErJ27VobGxtCSCe6FIAeLtkBU1hb\nW9vZ2VFnNtbW1tbW1hwOhxDS3NwsFArlp0ENDQ3Un3/5y1+uXbtGCBkxYgQhJC0tLT4+nsPhBAYG\nuri4PH36ND8/PzExsb6+ft26ddTGX7x4IRaLbWxsOBwOtXFVdu/evWfPHnNzcx8fH29v7+vXr9+/\nf/+zzz6rrKyUH3P37du3Y8cOqVQ6YMAAHx+fioqKK1eurF279tKlS1u3bjU3/7/LD6mpqZs2bWKz\n2SNHjuzZs+eNGzeysrIKCwtTU1M9PT3b3XENu0LDPNuupTYlqpOLiooOHTrUs2dPgUDw5MmTX375\n5ciRIy9fvty1a5c8bc27FEA9GQCTfPLJJzwe75dffpFHDh8+zOPxtmzZQv355Zdf8ni8d999d9iw\nYf/6179qamqo+OTJk3k8XkFBgXzFu3fvDhw40M/Pr7m5mYrMmTOHx+P9/vvv9DncuHGDx+MNGjQo\nPz9fHjx//jyPx+PxeOXl5TKZ7Pbt2z4+Pn5+fllZWfI2169fHzNmDI/H++mnn6hISUkJn8+fMGHC\ngwcP5M0OHjzI4/EmTZoklUppdlxtV2iSZ9u1NElp27Zt1EZ27twpkUioNteuXePxeD4+PkKhUL6i\nhl0KoAn8hgQG6d69e2lpaTNmzHByciKEyGSy58+fkz/+4sLj8WJjY+fOnVtfX9+hjf/jH/8ghCxc\nuHDMmDHyYEBAwNSpU7t161ZYWEgI2blzp1QqjYiICAkJkbf585///MUXXxBCfyPDfgAAIABJREFU\ndu3aJZFICCHbt29vbW1dv369/GoYISQyMjI4OLi8vLyoqKhTe9+BPNvSPCUfH58VK1bIT/UGDRrE\n5/OlUumjR4/eJG0AVXDJDgzSxIkTvb295X+amZkFBgYeO3ZswYIF8+fPDwwM5PF45ubmERERndj4\n1atXCSEzZsxQilO/VFGoq4UffvihUpupU6f+/e9/r66ufvz4cZ8+fa5evcpms/l8vlJRHDlyZG5u\n7qlTp0aNGtWJDDXPs921NExp7NixZmZmim28vLxu375N1X4ArUNBAoM0YMAApciaNWsaGxtzcnIS\nExMTExPt7OyGDx8eHBw8ffp0NrsDn/Pnz5+LRCJLS8vevXuralNXV0e1cXd3V1pkZmbWr1+/69ev\nl5WVcbncZ8+eEULGjx/f7nY0GeH2Jnm2VV9fr3lKvXr16nR6AJ2AggQGqe1RuHv37rt3737w4MHP\nP/9cWFh4/fr1vLy8vLy87777Li0trUePHhpuuampiRBC//s8NcKbzWYrnUBQqFtQW1tbqXHblpaW\nAoGg3e289dZbGmbVuTzb6lBK7e4dgO6gIIFBsrS0bDfu6enp6ekZFRUlkUjOnDmTkJBQUlKyZ8+e\nuLg4Dbfcu3dvS0vLhoaGhoYGOzs7xUUPHz68ffu2h4fHgAEDbGxsmpqahEJh29JYVlZGCOnbt6+T\nk5O9vX1jY+PmzZu1PlGChnkqraXTlADeEAY1gDEoLy+PiIiIj4+XR1gs1jvvvEPdeXPnzh3NN2Vu\nbk792n/69GmlRevWrfv000+prfn5+RFCjh8/rtQmPz+/rq7O3t6+T58+hJABAwZIJJKCggKlZmlp\naXPmzMnMzNQ8sc7l2ZbuUgJ4QyhIYAzc3Nxu3ryZkZFx69YtxTj1i4h86h3qxyTqYheNmJgYQsg3\n33zz8OFDefDixYtXrlzhcDgTJkwghCxfvpwQkpyc/N///lfe5tGjRxs2bCCELFmyhHqtJUuWEEIS\nEhIUR6Y9efJk+/bt165d8/f37/w+a5ZnW9pNScMuBdAELtmBMWCz2TExMYmJiXPnzg0KCvLy8pJK\npb/++uuFCxdsbW1DQ0OpZn/605+Ki4uXL1/u5eU1ZcqUOXPmtLu1kJCQzMzMixcvhoWFBQQEuLi4\n/Pzzz9QEEGvXrqUGmo8YMSIyMjI1NfWjjz6aOHEidWNsbm5uY2PjiBEjwsPDqU0NHz48LCwsIyNj\nxowZAQEB/fr1u3XrVnFxcVNTU3R0NHUXaqdpkmdb2k1Jwy4F0AQKEhiJJUuWcLnc77//Pjs7m4qY\nm5uPGTNm5cqVfD6fiixcuLC0tPTOnTuXL19WHDWuxMzMbO/evQcOHEhJScnKyqKCbm5usbGxU6dO\nlTeLi4sbMmTIrl27zp49m5ubSwhxdnaOjo6mJiuSN4uPjx80aFBSUtKpU6eoiJOT08qVKzs3JL0T\nebalxZQ07FIATWAuOzAqUqlUKBQKhUJra2sXFxd7e/s33GBtbe2TJ09cXV1VnXAQQhobGx8+fOjq\n6kr/CAaRSFRWVubk5NS7d2/FiqUVmuSp55QAOgoFCQAAGAHfiQAAgBFQkAAAgBFQkAAAgBFQkAAA\ngBFQkAAAgBFQkAAAgBFQkAAAgBFQkAAAgBFQkAAAgBFQkAAAgBFQkAAAgBFQkAAAgBFQkAAAgBFQ\nkAAAgBFQkAAAgBFQkAAAgBFQkAAAgBHY+n/JFy9ehIaGfvLJJ+Hh4W2X5ubmZmVllZSUcLlcHo8X\nFRXl4eHRoQYAAGCIuuAMaf/+/Y8fP25sbGy7KCEhYenSpXl5eVwuVyQSZWRkvPfee/n5+Zo3AAAA\nA6WnMySJRFJRUVFeXp6ZmXny5Ml22xQVFaWmpvbp0yclJcXNzY0QkpOTs3Llyri4uJycHCsrK7UN\n9LMvAACgC3o6QyotLRUIBAsWLFBVjQghR48eJYTExsZSxYYQIhAIpkyZUlVVVVBQoEkDAAAwXHoq\nSC4uLrv/Jzo6ut02RUVFLBZr/PjxisGgoCBCSGFhoSYNAADAcOnpkh2XyxUIBP/3kux2XlQsFldX\nV7u7uytdefP09CSEVFZWqm2gq9QBAEAvmDLsWyQSSaXSbt26KcWpyIsXL9Q20E+eAACgI10w7Ltd\nYrGYtHfyREXEYrHaBvTb9/b21laqAAAG7e7du12dQvuYUpBYLBZpr65QERaLpbaB2pdg7HugH97e\n3ugBE+8Bgk5ADzD72zlTLtlZW1sTQpqbm5XiVMTa2lptA31kCQAAOsOUgsTlcu3s7CoqKiQSiWK8\nrKyMEOLi4qK2gf5yBQAAHWBKQSKE+Pr6trS03Lp1SzF49epVQgifz9ekAQAAGC4GFaTJkycTQrZu\n3SqPPH369PDhwywWKzAwUJMGQMPEr5sT9AAhBJ2AHmA2pgxqIITMmTMnPT29uLh45syZISEhQqEw\nOzu7qakpJibG1dVVkwYAAGC46ApSZWWlu7u73lKxsLA4ePDghg0bcnNzqetytra2q1atioqK0rAB\nAAAYLjOZTKZq2fjx43v16vX+++9PnTqVy+XqMy2tw1hPAADC7IMh3W9Ijo6Ov/766/r168eNG7dm\nzZri4mKa6gUAAPAm6M6QZDLZtWvXTp48eerUqdraWkKIh4fHzJkzQ0NDe/XqpccktYDJXwoAAPSG\nyQdDuoIkJ5VKi4uLs7Ozz5w58/z5cxaLNXbs2FmzZgUGBlpYWOghyzfH5PcAAEBvmHww1KggybW2\ntl66dCk7Ozs3N/fly5c9evSYPn36+++/379/f92lqBVMfg8AAPSGyQfDjt2HxGazBw8ePHz4cKoC\nPXv2LCUlZdq0aVFRUffv39dNhgAAYBI0vQ9JLBb//PPP//73v8+dO9fS0sJmswUCQVhYWGNjY3p6\nen5+flhY2OHDh319fXWaLgAAGCs1BUkmk125cuXEiROnT58WiUSEkD59+nzwwQczZ850cnKi2ggE\ngoyMjPXr16ekpGzevFnnKQMAgDGiK0h79uw5cuTIkydPCCFsNnvKlCmzZ88ePXq0mZmZUsvQ0NAv\nv/xSKBTqMFMAADBqdAUpPT1dKBR6eHiEhYWFhoY6OjqqaikSiQQCwfDhw3WQIQAAmAS6giQQCIKC\ngkaOHNn2lEiJo6NjYmKiVhMDAADTQjfKLi4ubtSoURUVFRkZGfLgzZs3f/rpJ+o+WQAAAG1RM+w7\nKSlp0qRJ27Ztk0fKy8vj4uICAwPT09N1nBsAE9U1ilX919WpARg2uhtjp02bdv/+/X379gUEBCgt\nunjxYnR0tJubW15eno4z1A4m3wsGhsXMzGxBxu/tLtob5ov5HoHhmHwwVHmG9OrVq5KSkn79+rWt\nRoSQcePG9e/f//Hjx7h2BwAAWqGyINXV1clkskGDBqlqMGHCBEIINSgcAADgDaksSL1797aysqI5\ns3v69CkhBI9qBQAArVBZkFgslo+Pz507dwoKCtouffjw4YULF5ycnOTzNQAAALwJulF2CxculEql\nf/nLX7799tuqqioq2NDQcOTIkY8//lgkEn388cf6yBEAAEwA3Y2xgYGBS5YsSUpK2rlz586dOy0t\nLTkcTkNDA7V03LhxUVFRekkSAACMn5r7kJYvX3706NEJEybY29u3tLQ0NDRYWFj4+Phs37593759\n5uYde3oFAACAKuofPzFgwIDk5GRCyPPnz5uamnr37o06BAAAWqfp85AIId27d+/evbvuUgEAAFOm\nviBVV1c/evTo+fPn7S4NDg7WdkoAAGCK6ApSU1PT2rVrc3JypFKpqjaMnYICAAAMC11B2rhx46lT\npwghfD7fy8tLXykBAIApUlmQZDJZdna2mZlZeno6zQRCAAAAWqFyvJxQKGxqaho6dCiqEQAA6IHK\nguTg4MDhcDBVHQAA6IfKgmRpaenv7//bb7/RjGgAAADQFrpbXFetWlVTU7N79248cwwAAHRNzbDv\nefPm/fOf/zx37tzYsWN79eplZmam1CYiIkKX6QEAgKmgK0hr164VCoWEkDt37ty5c6fdNihIAACg\nFXQFKTw8XD63NwAAgE7RFaQFCxboLQ8AADBx6ueyk8lkhYWFp0+fFgqF/v7+S5cuzczM9Pf39/T0\n1EN+AABgItQUpAcPHixevLi8vJz6k8vlEkLS09PXrFkTHR0dGxvbdpgDAABAJ9AN+y4tLY2MjCwv\nLw8ODo6Li5PHp02bZmNjs3///h9++EH3GQIAgEmgK0hJSUm1tbVxcXFJSUnTpk2Tx8PDw7Ozs62t\nrZOTk3HbLAAAaAVdQSouLubxeJGRkW0Xubq6jho1qra2tqqqSme5AQCACaGbXLW6utrf319VAz6f\nTwipra3VSV4AAGBiVBYkJycnKyurmpoaVQ0ePnxICOnbt68u0gIAAFOjcpQdi8Xi8/lFRUWlpaX9\n+vVTWvro0aPz58+7ubnZ29trMZuTJ0+eO3dOKejo6Pj5558rRnJzc7OyskpKSrhcLo/Hi4qK8vDw\n0GIaAJ1GM+4Uc0IC0KMb9r169erw8PCoqKj169dTF+gIIRKJpKCgICEhobGxUXHonVZkZ2fn5eXZ\n2toqBpUegZGQkJCamsrhcPh8vkgkysjIOH78eFJS0tixY7WbDEAnLMj4vd343jBfPWcCYHDoCtKQ\nIUM+//zzzZs3L168mM1mE0JycnJOnjwpkUgIIWFhYbNmzdJuNnfv3h0yZMihQ4dUNSgqKkpNTe3T\np09KSoqbmxuV0sqVK+Pi4nJycqysrLSbDwAA6A3dKDtCSGRk5IkTJ4KCguzs7AghLS0ttra2b7/9\ndlpaWnx8vHZTaWpqqqys9PWl+yJ59OhRQkhsbCxVjQghAoFgypQpVVVVBQUF2s0HAAD0Sf3UQZ6e\nnnv27CGE1NfXS6VSJycnHaVy7949mUzm4+ND06aoqIjFYo0fP14xGBQUlJ2dXVhYGBQUpKPcAABA\n19QXJDkHBwfd5UEIuXv3LiGkd+/eW7duvXnzprW1tbe3d0REhLwEisXi6upqd3d3pUtz1Kx6lZWV\nOk0PAAB0iq4gXbx48fXr1/TrBwcHaysVqiD99a9/ff36dd++fSsqKs6dO3f48OHExMS3336bECIS\niaRSabdu3ZRWpCIvXrzQViYAAKB/dAUpLi6OekAfDaqKaMXdu3fNzMyio6Pnz5/P4XAkEsnevXt3\n7dr1+eefnzx5ksvlisViQgg1vEIRFaGW0vD29tZF2gAADKd49GMyuoIkEAieP3+uGJHJZDU1Nbdv\n3xaJRAKBQLt3xe7atUssFssHebNYrMWLF5eWlp44cSInJ2fWrFksFou0V3ioCLWUBooQaO5eTZO3\ns636dgCGQPHox+TipOYMqd14Y2Pj119/fe7cuRUrVmgxlZ49e7YNTp48+cSJE/fv3yeEWFtbE0Ka\nm5uV2lARaimAVtQ1iomKm4pwRxGAjqgZ9t0uW1vbr776qkePHqtXr9ZiKlKptO2t7NQTmOrq6qh/\n29nZVVRUUDdCyZWVlRFCXFxctJgMAADoWWcKEiGExWKNHj36999/b2xs1EoeZWVlvr6+n376qVKc\nOtP08vKi/vT19W1pabl165Zim6tXr5L/TfYKAAAGqpMFiRAikUikUik1xeqb8/DwcHBwyMvLu3Pn\njjz4/PnzAwcOsNnsSZMmUZHJkycTQrZu3Spv8/Tp08OHD7NYrMDAQK1kAgAAXaID9yEpEovFp06d\nIm0mmus0MzOzv//978uXL58zZ86HH37o7e399OnTQ4cO1dTUrFixQj6765w5c9LT04uLi2fOnBkS\nEiIUCrOzs5uammJiYrSVCQAAdAm6gnT06NGmpqa28crKyqysrPr6eh6Pp8W7ZQUCwT//+c9t27Z9\n9913hBAzM7M+ffp888038tMjQoiFhcXBgwc3bNiQm5tLXbiztbVdtWpVVFSUttIAAIAuQVeQEhMT\nae5DcnZ23rJli3azCQwMVHvlzcnJaffu3dp9XQAA6HJ0BSk8PLyhoaFtvFu3bu7u7hMnTuRwODpL\nDAAATAtdQVqwYIHe8gAAABPX+VF2AAAAWkR3hlRXVyeVSjXflo2NjdLDXgEAADREV5BCQ0PVTq6q\naMGCBatWrXrjlAAAwBTRFSR3d3eJRFJbW0sIsbCwcHV1ZbFYVVVV1FhwBwcH6jGyct27d9dprgAA\nYMTUDPuOiIhobW1dtWrVjBkzLC0tCSESieTMmTNbtmyxsLA4fPiw7h4gCwAAJoVuUMOWLVsePXq0\nZ8+esLAwqhoRQlgs1jvvvJOSkvLs2bPly5frJUkAADB+KgtSS0vLmTNn/Pz8hg4d2naph4fHmDFj\nrl+//urVK12mBwAApkLlJTuhUPjq1av+/furatCvXz+JRPLgwQM/Pz/d5AYm6l5N072aduasIoSM\n9ujmaGuh53wAQD9UFiRnZ2c2m11SUqKqATUtN55CBFpX1yh+16+dpzVS2j40CwCMg8qCxOFwvL29\nb968WVxcPGLECKWl165dy8/Pd3Nz0+LkqgCK8LRWAFNDN6ghIiJCIpEsWrRo79698huS6urqDhw4\nsHDhwtevX8+fP18vSQIAgPFTc2PszZs309LStm/fvn37dg6Hw2az5Y+Iff/99yMiIvSSJAAAGD81\nD+hbv379pEmTkpKSbty40dzc/Pr1a2tra39//yVLlowePVo/KQIAgClQ/8TYUaNGjRo1ihBSU1Mj\nk8mcnZ11nxUAAJgc9QVJJpMVFhaePn1aKBT6+/svXbo0MzPT39/f09NTD/kBAICJUFOQHjx4sHjx\n4vLycupPLpdLCElPT1+zZk10dHRsbKyZmZnOcwQAABNAN8qutLQ0MjKyvLw8ODg4Li5OHp82bZqN\njc3+/ft/+OEH3WcIAAAmga4gJSUl1dbWxsXFJSUlTZs2TR4PDw/Pzs62trZOTk7u0AOTAAAAVKEr\nSMXFxTweLzIysu0iV1fXUaNG1dbWVlVV6Sw3AAAwISoLklAorK6u9vf3V9WAz+cTQqinJQEAALwh\nlQXJycnJysqqpqZGVYOHDx8SQvr27auLtAAAwNSoHGXHYrH4fH5RUVFpaWm/fv2Ulj569Oj8+fNu\nbm729vY6zhDgTWEsKIBBoBv2vXr16vDw8KioqPXr11MX6AghEomkoKAgISGhsbFRcegdAJO1O1Ur\nIWRvmC/NIl1mBADK6ArSkCFDPv/8882bNy9evJjNZhNCcnJyTp48KZFICCFhYWGzZs3SU5oAAGDs\n6EbZEUIiIyNPnDgRFBRkZ2dHCGlpabG1tX377bfT0tLi4+P1kiEAAJgE9VMHeXp67tmzhxBSX18v\nlUqdnJx0nxWASjQ/COHZfQAGTWVBevny5fr16y0tLTdv3kxF8Cw+YAL85ANgrFResuNyudevX8/M\nzMSdRgAAoAd0vyENHz6cEJKfn6+vZIDRzGhpdy2jhH4AoEf3G9Jnn3326NGjhIQEX19fb29vveUE\nXaiuUXyvpknV0s5dLmt3LUdbi69DvDqaHr3LZS+0u0HtarcfeD1tYid66D8ZAAaiK0iPHz9etmzZ\n5s2bp0+fPnHixAEDBvTq1YvD4Si2effdd3WcIejVvZqmt9/q3rkVtZ5MR3UucwBgCLqCtGzZMqFQ\nSP07Ly8vLy+vbRsUJANV1yimWdrud3n60yBvZ1utp9FRGO8AYNDoCtJ7773X0NCgt1RAb+oaxU5c\nS+1us6PFgCpFWk8DAAwXXUGKjY3VWx6gf0w4n2BCDgDAEH8YZZeWljZt2rQHDx5QfyYnJ6ekpHRB\nUgAAYHr+UJAeP358//79lpYW6s9Dhw4dOXKkK7ICAACT84dLdmPGjPnuu++++eabuXPnWltbi8Xi\n5ubmq1ev0qw/ZMgQHWcIYKLu1TSpGrs42qObo62FnvMB0LU/FKSRI0fa2dnl5ubm5ubKgx9++CHN\n+nfv3tVVagCm7V5N07t+PVUtxcR9YHz+UJAsLCx+/PHHtLS0yspKqVRaXFzMYrGGDh3aVcnBG1I1\nqLquSZuDreHN0Qx/78QQfAADpTzKztPT829/+xv174CAADs7uwMHDug9K9AODKpmPuqiHN4pAEI/\n7HvEiBHW1tZ6S0Vzubm5WVlZJSUlXC6Xx+NFRUV5eGDylfZhXLVBwNsEQOgL0rZt2/SWh+YSEhJS\nU1M5HA6fzxeJRBkZGcePH09KSho7dmxXpwbQ9einasUvT8Bk6h/QxyhFRUWpqal9+vRJSUlxc3Mj\nhOTk5KxcuTIuLi4nJ8fKyqqrEwToenqbzRZAu9Q8wpxpjh49SgiJjY2lqhEhRCAQTJkypaqqqqCg\noEtTY7ofM37s6hS6GHqAEGI60/Zn3a5t9z/3gPe7OjVQyfDOkFgs1vjx4xWDQUFB2dnZhYWFQUFB\nXZUYgJ4x/FkbqnQibUdbC15Pm3YX3atpUjVAkWbEvJmZGS5dMpMhFSSxWFxdXe3u7q50ac7T05MQ\nUllZ2UV5dTHtTpgNhqJzz9qQWNq2+4FRdZutdj9ddU3izqWtqn7QzzHf7qXLn9K+qz+xtUOdAHpj\nSAVJJBJJpdJu3bopxanIixcG+YXxzWHEsGnq3PTqD25eU/WBafegr4tPF03mnbjpqqP9ILG0JbT7\nhZOnLmRIp65VVVXjx48fPHhwenq6Yrympmbs2LEDBw6kmXnPiC+d37t3j8fj6WERzSp1dXWOjo4d\nfaFOrEWzit5y6NzWtJu5Lna23TghRLs724n0aHKjSU/rH1djwtgZdgzpDInFYhFCxGLlc20qQi1V\nhbFvAAAAUAxplB11l25zc7NSnIow8x5eAADQkCEVJC6Xa2dnV1FRIZFIFONlZWWEEBcXl65JCwAA\ntMGQChIhxNfXt6Wl5datW4pB6gEZfD6/i5ICAAAtMLCCNHnyZELI1q1b5ZGnT58ePnyYxWIFBgZ2\nXV4AAPCmDGmUHSFELBbPmDGjpKTEz88vJCREKBRmZ2fX1tbGxMTExsZ2dXYAANB5BlaQCCG1tbUb\nNmzIzc2lfkmytbVdtGhRVFQU/Sg7AABgOMMrSAAAYJQM7DckAAAwVihIAADACChIAADACChIAADA\nCIY0l13nNDc3R0REODg47N27V2lRbm5uVlZWSUkJl8vl8XhRUVEeHh5dkqTWSSSSQ4cOXbp06eHD\nh05OTn/+85/nz5/fs6fyE2KMuAcIIZmZmefPn7937569vf2AAQOio6N79eql1Ma4e0DuxYsXoaGh\nn3zySXh4eNulptAJprCPbRnc+278Z0gbN268ceNGbW2tUjwhIWHp0qV5eXlcLlckEmVkZLz33nv5\n+fldkqR2tba2fvTRRwkJCb/99puzs/OtW7cOHDggEAgePnyo2MyIe0AikSxZsmTNmjUXLlxwdHSs\nq6tLTU2dPHnylStXFJsZcQ8o2b9//+PHjxsbG9suMoVOMIV9bJfhve8yo3b27Fk+nz9w4MDQ0FDF\neGFhIY/HCw4OrqyspCKnT5/29fUNCAhobm7uiky1KSUlhcfjrVmzRiwWy2SyV69eff311zweLzIy\nUt7GuHvg0KFD1Dc++b5kZGTweLxx48a1tLRQEePuAZlM1tra+vDhw59//vmvf/0rj8fj8Xjffvut\nUhuj7wSZaeyjIoN+3435DKm2tjYuLm7x4sUODg5Ki44ePUoIiY2NdXNzoyICgWDKlClVVVUFBQX6\nTlTbjh8/bmNjs27dOjabTQjhcDgLFiywtLT89ddfpVIp1ca4eyAlJYXNZm/cuFH+cOEPPvhg3Lhx\nQqFQ/nAd4+4BQkhpaalAIFiwYMHJkydVtTH6TiCmsY+KDPp9N+aCtG7dOhcXl8WLF7ddVFRUxGKx\nxo8frxgMCgoihBQWFuopP92QSqV1dXWDBw/mcrnyoIODg729vaWlpex/90EbcQ/IZLInT554e3s7\nOzsrxt966y2i8Kh7I+4BiouLy+7/iY6ObreN0XcCMY19VGTQ77vRDmpIT08vKCg4duxY2ymFxGJx\ndXW1u7u7/OszxdPTkygcsAyUubn5+fPnlYL//ve/a2trZ82aJX/IoRH3gEQi+eqrr9qOXygpKSGE\n9O3blxh7D1C4XK5AIKD+TZ0rKzGFTjCFfVRi0O+7cRaksrKyzZs3r1ixon///m2XikQiqVTarVs3\npTgVefHihT5S1IubN2+ePXv21q1bFy5cmDx58rp166i4cfcAm82eNWuWUvDSpUuXL1/28vLy8vIi\nxt4DGjKFTjCFfewoJveJERYkiUSyevVqHx+fTz75pN0G1CPP2353oCJtH5FuuH799dcDBw68fv2a\nENKjRw/5gw1Npwco//nPf1avXs3hcOLj4+XniMSUeqBdptAJprCPHcXkPjHgghQbG0sdauU2bNjQ\no0ePpKSkkpKSzMxMc/P2fyFTPCQpoiIGNGu4qh6Q/zlv3rx58+aJRKIjR45s3749Ly/vxIkTDg4O\nptMDIpHo66+/PnbsmJOTU2Ji4pAhQ6i40fQA0aATVDGmTlDFFPaxo5jcJwZckM6ePdvU1KQY+eKL\nLyorK7/99tsVK1Y4ODg0NDRQcalUKpVKGxoaWCyWjY2NtbU1IaS5uVlpg1SEWmoQ2u2Btkcie3v7\nqKio+vr6/fv3X7x4cfr06SbSA3l5eV9++WVNTU1ISMj69esVe8ZoeoBo/DFoy5g6QRVT2MeOYnKf\nGHBBunbtWtvg+fPnJRLJjh07duzYoRivqqoaNmyYj4/P8ePHuVyunZ1dRUWFRCJR/DpQVlZGCHFx\ncdFx4lrTbg/cvn07PT09ICAgODhYMT5+/Pj9+/dfunRp+vTpxt0DlO+//37Tpk1ubm4HDx4cNWqU\n0lKj6QFC2wn0jKkTVDGFfewoJveJsQ379vPzW9IGl8vt2bPnkiVLwsLCqGa+vr4tLS23bt1SXPfq\n1auEED6f3wV5a49MJvvxxx+TkpKU4vX19YQQR0dH6k8j7gFCSF5e3qbKnVfoAAAMYElEQVRNm4YN\nG3bixIm21Yhi3D2gIVPoBFPYx45ibJ8YW0EaOHDgijbs7e2dnZ1XrFgxb948qtnkyZMJIVu3bpWv\n+PTp08OHD7NYrMDAwK5JXUs8PT27det2+/bt27dvy4OvX7/et28fIWTo0KFUxIh7QCKRbNq0yc7O\nLjk5WfFmLCVG3AOaM4VOMIV97CjG9okBX7J7E3PmzElPTy8uLp45c2ZISIhQKMzOzm5qaoqJiXF1\nde3q7N6IlZXVunXrVq9eHRERER4e3q9fv6qqqoyMjMrKynfeeYe6940YdQ+UlJSUl5f36dNn586d\nbZfOnz/f3d2dGHUPaM4UOsEU9rGjGNsnJlqQLCwsDh48uGHDhtzcXOq81dbWdtWqVVFRUV2dmha8\n9957XC538+bN3377LRXp0aMHVaLkbYy4B3777TdCyKNHj9LS0tounTZtGlWQjLgHNGcKnWAK+9hR\njO0TM/lcMqZJLBaXlZXZ2tq6uLiYmZl1dTpaJhKJKisre/bs2fbBE3LG3QOaQA8Q0+gEU9jHjmJa\nn5h6QQIAAIYwtkENAABgoFCQAACAEVCQAACAEVCQAACAEVCQAACAEVCQAACAEVCQAACAEVCQAACA\nEVCQAACAEVCQAACAEUx0clWATjhx4oRIJJo1axbTnjQqFouLiooKCgrc3NzCw8PbRu7fv19UVOTn\n5zd48GDNN9u5tQA6DQUJQFPffPNNeXm5QCBgVEF68ODB7NmzGxoaCCH9+/cPDw9vG7ly5Up8fHx0\ndHSHSkvn1tJQVlaWUCgMDQ11cHDQ+sbBQKEgARi2tLS0hoaG4ODgZcuWWVhYtBsxNze3tLRUfF61\nJjq3loYOHTp09erVMWPGoCCBHAoSgGGrrKwkhMydO9fHx0dVZPbs2bNnz+7olju3FkCnYVAD6NbL\nly/Ly8tFIhFNG4lEIhQK6bcjkUgeP3786tUr+mYymezp06etra1qE2tpaamqqqJ//Mrr168rKipa\nWlrUbq0tTRLWMFv6/pFKpYQQxauIbSNvmGdHU5LTpJMB5PA8JNCV48eP79u37/79+9SfvXv3nj17\n9qJFi8zN//+vQVevXt26devt27dfvXrl7Ow8YsSIpUuX9uvXT3E7eXl5ycnJd+7coQ6a/fv3j4mJ\nmT59utLLFRcX7969+/bt242NjZaWlv379583b96sWbPkDfbu3ZuWlrZx40YbG5vt27ffuHHj9evX\nNjY2ISEha9eutbGxUdzav/71rx9++OHu3butra1WVlaTJ0/+7LPP5s2bV15enp+fT/PAQw0TVput\nJv0TGxtbXFz87NmzlpYWBwcHCwuL3r17V1VVKUbmzZu3cOHCzMzMHTt2fPjhh4sXL9Y8z3bXok9J\nk05euHDh77//Xl9fLxaLHR0d2Wz27Nmzly5dStOlYCJwyQ50Ii0tLT4+nsPhBAYGuri4PH36ND8/\nPzExsb6+ft26dVSb1NTUTZs2sdnskSNH9uzZ88aNG1lZWYWFhampqZ6enlSb3bt379mzx9zc3MfH\nx9vb+/r16/fv3//ss88qKysVD2H79u3bsWOHVCodMGCAj49PRUXFlStX1q5de+nSpa1bt1IlsKGh\nQSgUFhUVHTp0qGfPngKB4MmTJ7/88suRI0devny5a9cu+dbi4+PT0tJYLNaAAQO8vLzu37+fnZ19\n48aNxsZGtTuuScKaZKtJ/1hbW9vZ2VFnn9b/oxThcDiEkObmZqFQ+PLlyw7l2XYttSlp0slUki9e\nvBCLxTY2NhwOh0oSgMgAdGDy5Mk8Hq+goEAeuXv37sCBA/38/Jqbm2UyWUlJCZ/PnzBhwoMHD+Rt\nDh48yOPxJk2aJJVKZTLZjRs3eDzeoEGD8vPz5W3Onz/P4/F4PF55eTkVuX37to+Pj5+fX1ZWlrzZ\n9evXx4wZw+PxfvrpJyqybds2asWdO3dKJBIqeO3aNR6P5+PjIxQKqcjly5d5PN7gwYOLiorkW7ty\n5cqIESOo1aurq1XttSYJa5itJv1D+eSTT3g83i+//EITOXz4MI/H27Jli+Z5tl1Lk5Q07GSZTDZn\nzhwej/f777+r6kwwQfgNCbRPJpM9f/6c/PFnDB6PFxsbO3fu3Pr6ekLI9u3bW1tb169fr3iBLjIy\nMjg4uLy8vKioiBDyj3/8gxCycOHCMWPGyNsEBARMnTq1W7duhYWFVGTnzp1SqTQiIiIkJETe7M9/\n/vMXX3xBCNm1a5dEIpHHfXx8VqxYIT8LGTRoEJ/Pl0qljx49oiJJSUmEkEWLFo0YMUK+1tChQ1et\nWqV2xzVJWMNsNemfTtOwY5VonpLaTgZoFwoSaJ+ZmVlgYCAhZMGCBXv27Llz5w71M3tERMTatWtd\nXV0JIVevXmWz2Xw+v/6PRo4cSQg5deoU1YYQMmPGDKXt79y5s7i4OCwsjPrz2rVrhJAPP/xQqdnU\nqVPt7e2rq6sfP34sD44dO9bMzEyxmZeXFyGEqqCEkBs3bhBC2v5GNWPGDGoINQ1NEtYwW036p9M0\n7Ni2a2mYktpOBmgXfkMCnVizZk1jY2NOTk5iYmJiYqKdnd3w4cODg4OnT5/OZrPr6+ufPXtGCBk/\nfny7qwuFwufPn4tEIktLy969e9O8UF1dHdXM3d1daZGZmVm/fv2uX79eVlbWp08fKtirVy+ardXU\n1DQ3N3M4nLbNLC0tXV1dy8vLVa2rScIaZsvlctX2D81e0NOwY5Vo8pbJ/03fyQCqoCCBTnTv3n33\n7t0PHjz4+eefCwsLr1+/npeXl5eX991336WlpVEnTJaWlgKBoN3V33rrraamJkKI2p+7qTHTbDZb\n6Ss5hbqpU3FcdbvN5GQyGbW1dpfS3yKqScIaZqtJ/9C8Cj0NO1ZJh1Ki72QAVVCQQIc8PT09PT2j\noqIkEsmZM2cSEhJKSkr27NkTFxdnb2/f2Ni4efNmVUd5qVRqaWnZ0NDQ0NBgZ2enuOjhw4e3b9/2\n8PAYMGBAr169bGxsmpqahEJh26/8ZWVlhJC+fftqmLCzs7O1tXVjY2NdXZ2jo6PiIolEUlVVRbNu\n7969NUlYk2ydnJzU9k+naZin0lo6TQmAgt+QQPvKy8sjIiLi4+PlERaL9c4771C3s9y5c4cQMmDA\nAIlEUlBQoLRuWlranDlzMjMzzc3NqR/PT58+rdRm3bp1n376KbUdQoifnx8h5Pjx40rN8vPz6+rq\n7O3t5dfrNOHv708IyczMVIqfOXOGOrdQRcOENcxWbf9ovkedy7Mt3aUEQEFBAu1zc3O7efNmRkbG\nrVu3FOPUzwzUfDZLliwhhCQkJCiOvHry5Mn27duvXbtGVYWYmBhCyDfffPPw4UN5m4sXL165coXD\n4UyYMIGKLF++nBCSnJz83//+V97s0aNHGzZsoF5I1SW4dlGJJScnU6MPKOXl5Vu2bFG7riYJa5it\nJv3TaRp2rBLtpkTtJn2NB1ODS3agfWw2OyYmJjExce7cuUFBQV5eXlKp9Ndff71w4YKtrW1oaCgh\nZPjw4WFhYRkZGTNmzAgICOjXr9+tW7eKi4ubmpqio6OpuyxDQkIyMzMvXrwYFhYWEBDg4uLy888/\nU1M/rF271snJiXq5ESNGREZGpqamfvTRRxMnTqRuNc3NzW1sbBwxYgT1OAbNjR49+v333//pp58+\n+uijsWPH+vj4lJaWFhQU9OjRw8HBgRqzroomCWuYrSb902kadqwS7ab0pz/9qbi4ePny5V5eXlOm\nTJkzZ86b7BEYBxQk0IklS5Zwudzvv/8+Ozubipibm48ZM2blypV8Pp+KxMfHDxo0KCkpST5i2MnJ\naeXKlREREdSfZmZme/fuPXDgQEpKSlZWFhV0c3OLjY2dOnWq4svFxcUNGTJk165dZ8+ezc3NJYQ4\nOztHR0crzVSkoYSEBB8fn++///7s2bNnz55lsViDBg3avXu3/CYqVTRMWMNs1fZPp2nesUq0mNLC\nhQtLS0vv3Llz+fJlb2/vTuwFGB/MZQc6JJVKhUKhUCi0trZ2cXGxt7dvt5lIJCorK3Nycurdu7eq\n+lFbW/vkyRNXV1dV398pjY2NDx8+dHV11cpDDerr658+ferp6WllZdXRdTVJWMNsNemfTtOwY/WZ\nEpgsFCQAAGAEfLX5/9qrYwEAAACAQf7W09hREgGwICQAFoQEwIKQAFgQEgALQgJgQUgALAgJgAUh\nAbAgJAAWhATAgpAAWBASAAtCAmBBSAAsBPpm5VPnGISAAAAAAElFTkSuQmCC\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x1 = U(:,1)'*B; x2 = U(:,2)'*B;\n",
"subplot(211), histogram(x1,32)\n",
"xlabel('first coefficient'), ylabel('frequency')\n",
"subplot(212), histogram(x2,32)\n",
"xlabel('second coefficient'), ylabel('frequency')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The first coefficient shows clear polarity, with most voters having a large-magnitude coefficient. Political scientists call this quantity _partisanship_. The second is a little less obvious, but it is commonly called _bipartisanship_. It shows how willing a voter is to go against his or her party. The 21st century has seen some of the least bipartisan Congresses in history.\n",
"\n",
"We can now represent each voter by these two coordinates. A scatter plot dramatically illustrates the nature of the voting. We also use the known party affiliation to color each voter. "
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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sQWCs/oucnJzMvx4fH79o0aLExETxpvrggw/0n5Gea6iBGN7HGHv44YfFvfpPyu6kD2p4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\nGaUtmNYAAAAASUVORK5CYII=\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"c = zeros(size(A,1),3); \n",
"c(party==1,3) = 1; % blue \n",
"c(party==2,1) = 1; % red\n",
"scatter(x1,x2,20,c)\n",
"xlabel('partisanship'), ylabel('bipartisanship')\n",
"title('111th U.S. Congress, House voting')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It's clear as day that this Congress was very politcally polarized. Note that those with the higher (more positive) bipartisanship scores are the ones willing to meet in the middle. "
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Matlab",
"language": "matlab",
"name": "matlab"
},
"language_info": {
"codemirror_mode": "octave",
"file_extension": ".m",
"help_links": [
{
"text": "MetaKernel Magics",
"url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md"
}
],
"mimetype": "text/x-octave",
"name": "matlab",
"version": "0.11.0"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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