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author | hardythe1 | 2015-04-07 15:58:05 +0530 |
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committer | hardythe1 | 2015-04-07 15:58:05 +0530 |
commit | c7fe425ef3c5e8804f2f5de3d8fffedf5e2f1131 (patch) | |
tree | 725a7d43dc1687edf95bc36d39bebc3000f1de8f /Satellite_Communications/Chapter_6.ipynb | |
parent | 62aa228e2519ac7b7f1aef53001f2f2e988a6eb1 (diff) | |
download | Python-Textbook-Companions-c7fe425ef3c5e8804f2f5de3d8fffedf5e2f1131.tar.gz Python-Textbook-Companions-c7fe425ef3c5e8804f2f5de3d8fffedf5e2f1131.tar.bz2 Python-Textbook-Companions-c7fe425ef3c5e8804f2f5de3d8fffedf5e2f1131.zip |
added books
Diffstat (limited to 'Satellite_Communications/Chapter_6.ipynb')
-rwxr-xr-x | Satellite_Communications/Chapter_6.ipynb | 75 |
1 files changed, 15 insertions, 60 deletions
diff --git a/Satellite_Communications/Chapter_6.ipynb b/Satellite_Communications/Chapter_6.ipynb index cafbce7e..db813f9b 100755 --- a/Satellite_Communications/Chapter_6.ipynb +++ b/Satellite_Communications/Chapter_6.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:d4f3edf7b06c27dae9c3606668732bde107181b7fbb92b919da02c632b969fc0" + "signature": "sha256:d37ccbfd5f3c0bd5bc07cc06bbf51cbb242c58f6b867e2289a02a699857760db" }, "nbformat": 3, "nbformat_minor": 0, @@ -30,7 +30,7 @@ "input": [ "import math\n", "from pylab import *\n", - "%pylab inline\n", + "%matplotlib inline\n", "#Variable Decalration\n", "a=3\n", "b=2\n", @@ -79,38 +79,23 @@ "metadata": {}, "outputs": [ { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Populating the interactive namespace from numpy and matplotlib\n" - ] - }, - { - "output_type": "stream", - "stream": "stderr", - "text": [ - "WARNING: pylab import has clobbered these variables: ['linalg', 'draw_if_interactive', 'random', 'power', 'info', 'fft']\n", - "`%pylab --no-import-all` prevents importing * from pylab and numpy\n" - ] - }, - { "metadata": {}, "output_type": "display_data", - "png": 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K9IWWkGQwe/ZseHt7w9vbG9HR0bhe4zJkxYoV8Pb2hp+fH3bbQ09XPTZsAKKi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\nQUREBPz8/Op87Ny5EwCwbNk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HJQMFuHKFbSL1+uu8IzGesaUiGhnIg7EjA6V2EpU3dSorFRnyRip3lAwU4Ouv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\nyd27QHY2W2NAqq6iNxR6M5E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"text": [ - "<matplotlib.figure.Figure at 0x230e550>" + "<matplotlib.figure.Figure at 0x321d450>" ] }, { "metadata": {}, "output_type": "display_data", - "png": 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vf9VxntOnw5Il8Ne/wvDhsGoV/OEPNZ+S5++kMvBT33wDd98NL7wA991X/rbX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\nVUFYlc2mPuj5QqtIT5sIzWQ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9qB7MgVpFykDJgEiOKgPlaaoyMFeLiEfTS5WB2kREcuasDGjMQJimKgNzJwOq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\noKQWEaDcNpHQ77m5KDEZCB1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"text": [ - "<matplotlib.figure.Figure at 0x331be90>" + "<matplotlib.figure.Figure at 0x423ebd0>" ] } ], - "prompt_number": 2 + "prompt_number": 1 }, { "cell_type": "heading", @@ -126,7 +111,7 @@ "input": [ "import math\n", "from pylab import *\n", - "%pylab inline\n", + "%matplotlib inline\n", "#Varable Declaration\n", "\n", "N=5 #Number of elements of dipole\n", @@ -162,30 +147,15 @@ "metadata": {}, "outputs": [ { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Populating the interactive namespace from numpy and matplotlib\n" - ] - }, - { - "output_type": "stream", - "stream": "stderr", - "text": [ - "WARNING: pylab import has clobbered these variables: ['power', 'draw_if_interactive', 'random', 'fft', 'linalg', 'info']\n", - "`%pylab --no-import-all` prevents importing * from pylab and numpy\n" - ] - }, - { "metadata": {}, "output_type": "display_data", - "png": 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cMZA2mlEoFHTo0CGT5lJhheM4Wr58ObNzOj2d6P33iRwciN59l+jMGVUDUheW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\nsSl9VH/99VcEBgbC19cXJ06c6LSu2tpaNDY2AmDMxM+cOQNfX1+dc9r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RHjx4gLGxsWpr71VDFUbrxsZG3LNnT5vPGAwGkVE4NzcXraysmPHx8eOwC7w7\npEXjHVBFqaiosLG3t39x7do16b9iB9Dp9Fa/ETqdjrdv3yaqRxpcLlclu1a1tIWiKNy3bx/Rvebz\nEblcRA4Hkc0W/CuN3NzcNnF75SEiIgL79u3b2J19UF661ZyWlhbDCRMmpM6YMcPthx9+6HjSKiMl\nJSVgZmYGZmZmyuheK4cPH4bZs2dD3759lVovCXw+HxgMRut3TE5OBjqdDtOnTwcAgKSkJKirq4Np\n06ZBbGwsGBoaQn19PUydOhUAABITE6GhoaH1+NGjR0Cj0cDd3V0zX0gKfD4fdHV1AQAAEaCyEiAj\nAyA9HSA/H6CiQvBZZSVAXR0AjfZfQQQwNATo1w/A2lrwr5sbgKtrLQwdyoNRo6xAEVPazp07+adO\nnXp29+7dEcbGxkwlfWW18VIpE0SkLV269HxJScms6OjoHspYAr506RJMmTJF6cpEk9TU1EBOTg68\n8cYbAACQlZUFdXV1MoVkjI2N7fS6+vp6aG5uBltbWwAAiI6OBl1dXZgwYYKiXVeY/fuvQGmpGzx8\nOAzu3wfg8wG8vQFGjBAoBltbABsbwb8WFtBGOSACNDUBVFUBVFcLFE5WFhMiIy9CWZklsNkzYdw4\ngLffBpg+HWDAAPn6hoiwbNmyFiaTGXXx4sUZNBqte72cmh4aKbMEBgZ+7eXlxVDUq7WpqQmPHj2K\niIJpjmheXFL4fD7+9ttvGlnyra+vx7///rv1+MWLF23SiaqbkJAQvH//vlraoijElBTE9esR3dwQ\nra0Rly5FvHABsaREcF4RmpubW43nL14gXryIuGQJopUV4uDBiJs2IUpZIW4Hi8XCwYMHs3755ZdN\n2AXeKXmKxjugrBIbGzuhX79+Sokiz+VyVZLrVl17aCiKahOekMlkKn17vTI5evQoKjv6P52OuGcP\noocHorMz4k8/IaamCuwgQjIyMpS+OpWWloYMBgP5fMSkJMSPPkI0N0cMCEAMC5NNeZWVlaGDgwPz\n+vXrU7ELvFuyFo13QBmFwWAY9+/fv+bChQud/1IKsH37drkVQnp6uop60zF8Ph+vXbumklGQqpeG\nKYrCnTt3EhunnzxB/PBDRDMzxIULEaOj2yoQcUg29PF4PNy6davEc1VVVZiVldXmMwYD8ehRxBEj\nEL28EK9d61ypREVFoYODw4v6+noz7ALvmCxF4x1QRlm7du2hxYsXK5wsZdeuXVIfYnn9Curr6zE6\nOlrRbskmlq+CAAAgAElEQVTEgQMHpHpcKgt1+JmIhnrkcDgyeRs/fow4fz5i376ImzcLRiby0NLS\nItcfChIfE4oSKBJPT0QfH8TOFgmXLVvWsmTJkvPYBd4xWYrGO6BoiYmJ8bOzs2MqI4ZIV3Gnl4Xm\n5malBz7qipSUlODJkyc7PP/sGeL77wtsIb//jkgacra8vBw7y0gg728uGh+3bT2Ily4hOjoiLlqE\n2FE8qMbGRuzfv3+zaIa/rlw03gFFinB6ExYWJvnXUBF8Ph83bdok8VxVVRUePnxY5X3Iysp6JZSJ\nOMnJydjc3IwslsC4aWkpGIkoIZJEp2zevBnliRMcExMj9XoGA/HrrwWjqaNHJU99oqKi0N7e/kVH\nwdC7UtF4BxQpa9euPfTee+8pFAE5OztbqVMRPp8v1wMnKxRF4YULFzQ+ItK0O31+fj4GBxeiiwvi\nnDmIqsjaWlJSgg8fPlR+xR2QmSkwFM+bh9jQ0P78Rx99xOoO0x2Nd4C0KGt6U1NTg1wuedA1Ho+H\njY2NCtUhK0+ePFF5G52hSWXS2Cgwrrq4IEZGCqYB169fV3o7fD4fk5OTEVHgIq/oH4fKyspOXfqb\nmxFXrUJ0dUUUt9k3Njaira0tq6tPdzTeAZLCYDCMnZycqtU9vZFEfX097t+/H//44w+l111TU9Ph\nvPtVIzlZoET+7//aTmlUPYI4fvy4wnt7GhoaZFZ6Z88i9umDePVq28+7w3RH4x0gKWvXrj301ltv\nKbRlMzQ0VONThs549uyZWjccdkV4PMQtWwROYJcvS782OTlZ6b9pcnKyWiK6iZKaimhjg7h3b9vP\nP/roI9ayZcu6bIIujXdA3nL37t3XlTG9UYYHpngfSkpKFH75q6qqlOJxqyrUOc1pbER8+23E8eMF\n3qqdkZaWRrzRThQGg4HPnj1DROUHl5Y1w2FBAeLAgYjfffefYbaxsRGtrKxabt68ORm7wLsoXrpV\ncCREpH399dd/bd26tae5ublCdfn4+Cjcn9OnTwNFtSazB2NjY0hNTVWozrt37yrarZeCkhKA118H\nsLMDiIoCcHDoXMbb2xusra0BAIDL5RK3nZqaCj179gQAQRAjCwsL4rrEOXjwoOCveCc4OwMkJABE\nRgJs3Cj4zNTUFPbt29djw4YN+yiK6nrvrqa1mTwlJCRkpqOjI0uRrft5eXnEsi87z58/bzU8Igrs\nERcvXmxzLBpc+cGDB22OMzMz2+wBIiU5GdHWFjEwkHzvTFxcnNJjxBw5ckQl2yykUVODOHSoYPkb\nUTBS8vX1bTp37tx87ALvpGjReAdkLTweT9fd3b2QNEYJomBaEh4eTiyPKPB8bJC0fidGfHy8TFMe\niqLwl19+0Yj9pry8vHVDI6JAmTx9+lShOkW/R3Jycpv7LcsfgdBQgd9FaKhC3ZAbBoPR6RSuqalJ\nIzFoKioEUx5hLKaoqCh0cnKqZrPZBtgF3k1h0XgHZC3Hjx9fMm7cuCZNB1q+du2aTJvS6HS6zKMg\ndX2n5uZm3Cti1eNyuXIrMUVsJrdv38b4+PgOz//9t8DQKpIeWSlkZWW12y8jzrNnz9SamvTgwYNy\njXKKigRG2chIwfFrr73WvG/fvk+wC7ybwqLxDshSWCyWob29/Yu7d+/KfPPF0bQSEufhw4dq6VNJ\nSUnrnhM+ny+zAbAjlGmADQ4OxoKCAkQUrNRYWyOmpSmt+lb4fL5Sp7fNzc0YHBysUB1MJlNuRX73\nrmDUlp0tMDbb2NjUMRgMY+wC7yh2F2USGBj45fjx44k38mVlZSk8l1ckfMDp06fbTI34fD5e7myd\nU0lcvHgRmUymWtoi5cIFRCsrPh4+HKNWpc9gMPDEiRNEspWVlUrujWwcPy5wbKuvR5w3bx7z119/\n/RG7wDuK3UGZNDQ09LKysmp88OAB6f1HiqIUskkIAxuRUltbiyyWQl7/MhMbG9utHN0iIgQjksxM\nCmNjY1WuTO7fv4+h/xpkOByOwqk/FSU5OVluD9uPPxaEV8jNzUMzMzPWixcvLLELvKsa70BnZePG\njVs+/PBDhcMLdAUuXryocrd7ZaRfkIYypzlpaQJvT0lpmlNTUzEqKkppbYmiTGN3eHi4Qu72OTk5\nWFhYKJcMkylY4Tl5UuDI9uWXX+5BsfeGx+Ppenl5ZQQEBISJn0NEWLdu3R5XV9enHh4eWenp6SMk\nXSNv0biykFaqqqqse/Xq1SLvzRZSW1uLqampRLKqIDs7G7du3apUhcJms3GzcN1QDShLmRQXI9rZ\nSfdqVYXznugoUxmjxYKCArUvFyMiZmUJFHFiYgVaWFg0i0e1DwwM/GLhwoVnZsyYEYpi71VERMT0\nadOmRSIiJCUljR49enSS+DUkReMKQ1r59ttvd6xevZr4T21OTo5CFvq8vDyl+E2Ioqodxd2JujpE\nd3eBH4ksUBSFQUFBSlPCwt8gLCys01UedUHyG/7+O+JbbyF+/vnnnDVr1hzGf9+b0tJSe39//9vR\n0dETJY1MVq9efeD8+fPzhMdubm45VVVV1uLXyVs0rjA6Ki0tLT2srKwaNRmzg8ViKfzyx8bGdhh3\nhNRnITExEW/duqVItzQGn484fTrimjXyOaQpugqlav+QyspKhYz0x48fl3u6w+EIQhfs3l2IZmZm\nrKamJhNEhLlz515KT08fERsbO0GSMgkICAi7d+/ea8Jjf3//2/fv3/cRv07e0vVccv/l8uXLc4cP\nH04bNGgQkbyomzsphoaGUvPFyoKzszMMHDiw3ec8Hg+2bdtGVKe3tzdMmjRJoX6Romiu4e3bBflo\ngoIEuWhkxdTUtPX/8fHxwGTKl1Zmx44dwGazOzyvaG7ipqYmSExMJJZfvHgxODo6yiWjrw9w8CDA\ntm1OMG6cH//s2bMLw8PDA6ysrGpGjBiRgYgd3mHxc0pJq6GoNlJV8fX1zT537pxcmlpIUVGRQn4A\nOTk5WCLLzjI1kp2djeXl5ZruhkI2k/h4wcqNore2vLy8dSOesvjjjz+63C5yFouFo0aNQk9PTxwy\nZAh+++237a6JiYlBff1eaGbmjIaGhuzx48fH2dvblzo5ORX269evsmfPnszFixefRLFpjqg7/ks9\nzcnIyPCyt7dnKjJHVsSOkJiYqND0hsfjtdmz0hlsNrtTF/34+Hi1BGBSFTU1iA4OgqVgZSJNATAY\nDLUtySuLpKSkNsdCHyEul4ujR49u50EcExODU6bMQHNzPtrY2LNEpy8dTXNEDbCJiYljlGWA7ZLT\nnP3793+xevXqHnp6esR1KJLNb8yYMQpNbzgcjly7kpubm+HatWtSrxk3bhwocj+UCZ/PlzplEAcR\nYPlygAULBJnulMm9e/cgOjpa4rnQ0FBoamqSqz5ExUb7+fn5cPnyZWJ5JpMJLS0trcfC3cscDgf4\nfL7EHcwGBgjr1ulAv34f9di3b99XoueE05eDBw+uPnjw4GoAgOnTp0c6Ozs/c3V1zV+9evXB/fv3\nf0LcYVGUoZGUWerq6nr36tWrhdTDUJGlYC6X26VWRnbv3t0uZoo6KC8vxyNHjrQeFxYWtk4bY2Ji\nsKioCM+cOdN6vqCgoI0nKYvFamPwPH1aYChUUw4yhUhISMB//vlHoToUzSgpCp/PR09PTzQxMcGv\nv/663fnY2Fi0sLDAYcM8UF/fH01MTDnV1dVWqIF3V+PKQ7zs2rXrs6lTpxI5qVEUhYqEcjx9+nTr\nXhESKisrsaioiFgeUfBiCncbq2sOX19fjzt37mw95vF4HbYti80kPz+/dZpXU4NoZdWCKSmqV9JP\nnz7Furo6haP2d6U/KELq6+tx9OjR7e5/Y2Nj61Ro6dJI1NfvhVu2bPkfvurKhKIompubW1lcXBzB\n7dY8sbGxCjtaVVVVqWXZd+/evWpJV7pgAeIHHySr5TsVFBTgoUOH1Lr7tyMqKirapGSVxZiKiLhu\n3Tp0cXFBW1vbdtkgN23ahNu3b++wzfp6RIB+aG3dr57H4+niq6xMoqKi3nR3d9d4mAFNcubMGZWt\nJIkacNUxfQoLEwSBFt9nGBwc3CVWpqTR3NyM58+fJ5ZvaGhol0KlM2NqREQETps2DRERIyMj0dvb\nu9W7trm5GcePH4+3xdIAVlVVtY6kkpOT0czMER0cfFvCwsIC8FVWJvPnz7/2yy+/EGmSy5cvE7s1\n0+l0hXICNzerZutQdHS00gJKX758GR89eqRwPbIuDbe0CBKG37zZ/hyPx1OqJzCDwcCbYg3duXNH\n4ekK6TaOzmAymThy5Eh8/Phxm89Xr17dRoE5OTnh8OHD0dPTE4cPH96aAeHAgQN44MABRBSMMN3d\n3dHT0xPHjh2L4eGJaGR0BGfPnnMLX1VlwuFw9C0sLJikf5VlCVjUEU+ePFEoEHFgYKDCG+wkLQ3T\n6XSFHmhVRLaXVZkEBQk8XTujvr4eA2X1q++AsrKydlOb1NRUjeyZkUZnxtSAgIA2kfD9/PyIFhRm\nzXqOxsambBaLZYivojKJiYnx8/Hx6Twe4ktIUVGRXH4pssBgMPCvv/5Sap2yUlsrCOKjhIGQxuHz\n+QoZ5c+fP481NTVtPuvImBoQEICiAcA8PT2JnovoaMTevYdzIyIipqMa3+Eu42cSGhr67syZM41J\nZPl8vrK7o1YcHR1h7ty5Uq85fvy4TD4TiAI/CWNjY/joo4+U0j952bIFYM4cAHd3+WUPHDgAVVVV\nnV7X3NwMR44c6fQ6BoMB+fn58nfkX2g0mkIZA6ZPnw4mJiZtPjMzM4O3334b7t+/3+ZzOzs7KC0t\nbT1uaWmB8ePHy92mnx+AgcGHeteuhc4j6jQp6tRcHRWKomgODg7PMzIy5NbCPB6PeAs+h8PBHTt2\nEMkiIoaEhCjkYSnP0m9dXV2ndoaEhASVpMsUpbNpTlERooUFImkgMoqiZLJ18Hg8mfLZ8Hg8VCQI\nuSRKSkrQz88Phw4diu7u7rh79+5218TExGCvXr3Qy8sLvby88Ntvv+3UmCpqgE1MTMTRo0cT93H9\n+lzs08e2kaIoGr5K05zs7OwhDg4OTFKDmSJyioQ0VDQ15Y4dO7p0wi1JdKZM1q5F3LBBOW2lpKR0\nyZCTlZWVKPzD19TUhIMGDcLs7Ow218TExOCMGTNajxMSEnDEiBFSjamIiGvWrEEXFxf08PDAtLQ0\n5HA47eqWhYICRBOTAVxl7AaWtWhckSAibNu27dtPPvlEtSHCuiCkSvDXX39tHdU8f/5cKas0yqCm\nBtHcXJCaQRlUVFS0eZGEaUFI75sinqktLS1tvIJFmTVrVrtRRkxMDAYEBLQek46AKYoijhdsY7OS\n2rjxx834KimTsWPHPrpx44bcN4vFYhE7KNXV1RGvwJCkiFAmoq7qycnJCsf6UBYbNyKuWqXaNhSJ\nS7J9+3aFfjdJWzwKCwuxf//+7UaYQjd3Dw8PnDZtWrtlYHWwbt0dHDzYqxRfFWVSXV1tZWJiwiF5\nsdPT04lzBp84cUKmZFqSuHDhgkIu2ydPniSWFUcVkduk0dE0p6lJEEZQFQkTORwOXrp0SeGtCsqm\nqakJfXx8JEbjE3Vzj4yMxIEDB6q7e5iby0UjI0ueeEhHVRWNK5Njx44tmzt3bvcyHCiIolnz6HQ6\nRkREIJvNxm3btimpV53D4/FaI7uLs2cP4ty5qml3+/btWFdXpxL7iSzGVESBm7urqyu6u7u3RpSf\nMmUKBgUFydSOk5MT3rlzh3g0TDJyR0Ts02cGf+/evWvwVVAmc+bMuUmau+RVpaqqSmGHtMxMxNWr\nEf38EN99F3H/fkRxk8KLFy/avFzPnz9vs1u4qqoK9+3bhxSFOGwYYnh4o8ZTR8hCcHBw63RHFmOq\n6CrLiRMncPDgwbh48WL8/PPPO2xD3M3d0dERMzMziZ0rEySF8JeBadOC8Y03ptzHl12ZUBRFs7a2\nbiAZvhYVFbVzBpKVFAXyT6YpkHJOES/bzmAymTIrmJMnBWk4t2xBvH0b8cwZxDlzEK2tufjBB7/K\nbeBMThbswamqqsGQkBCS7reDwWB0aAsKCgpSyFW+rKysw0BTkoyp4m7uDg4OSKPR0NPTs3XpNzIy\nUqqbe2JiInF/FeHq1Rrs2dOMzefzdfBlViZlZWV2ZmZmbJIHIy4ujthdmjRMAZfLVSjx+b59+4hl\nEQU5WjoyINbW1uLZs2c7rePRo/9STCIi5ubmthoW4+MRnZwQt27tWF6SzWTVKkRJOcri4uLavZiy\ncunSpQ6N66rapNiRMVXczd3f35/YVqdumpsRTUz6c/Py8gbiy6xMQkJCZr711lvK30DykqKMB/iD\nDwQpEoTEx8e3cbwrL0ccPBjxXzeIdogrEwZDsBxcVtZ526QGb1Uh6vQmzZgq7ubu7++PR48eJWqz\nrKyMeGR86tQpIjlr6wlc0ZivqioadadPS0vz9fHxMen8Si0AIHMoyNzcXGhoaGj3OZcLEBpKwdCh\n91o/GzduHBgaGrYe29oC3L4tiB5/61b7uv38/Noch4QAjB0LYGfXeb+Cg4OBx+N1eJ7JZMLjx487\nr+hfoqOj20SpX758OVhbW8Pw4cMlXh8bGwtmZmYwYsQIGDFiBCxevBgAALhcLrz77ruwaNEimD17\ndjs5cTf3srIyMDYm2vkB1tbW0KNHDyLZUaNGEcm5uY3XTUlJe41IWB5Ura2klalTp969cuWK3Jo2\nOzsbS0tL5ZZDxA5XIzojKyuLeDk4ISGB2L6DiHIvidLpdIkGu4cPEV1d6zE5ObnTOmJiEPv1Q+zM\nY33uXEQFEgG0ISUlRS67Unl5OZaJDInu3LmD6enpOGzYMInXi3ulIgqcwjozpirTzV0TbN58HUeN\nmvgYX9ZpDkVRtL59+zaSGF8zMzOJhswURRHHiH369Cnx0mRaWhqxwbClpYV4eCsKRVF44wbipEmy\ny3zyCeJHH7X9THSaw2IhmpkhPn8uf3+OHz+uEr+RwsJCqcpE1CsVUTDN68yYitjezb078eRJDRoZ\nmXFUbYTVmDIpKyuzs7S0ZL3KUdXUwY0bNzArKwuPHz+OERGI//6BlYnaWkGeG9EMmqLKJDwcccIE\nsn5RFIV8Ph8ZDAZGKJj/orGxsVVZS1MmkrxSnz17Rhwz5tKlS0Qetc+fPyde9dq/fz+RXM+eVjxV\nG2E1ZjNJS0vz8fHx4SiSkkJL5/j6+oKlpSV8+OGHYGIC0Ngou6y5OcAXXwCIJh4UtZlcuwYgwcQg\nEzQaDXR0dIDJZMKQIUPIKvmXlJQUyMzM7PQ6b29vKC0thaysLFi3bh3Mnj0b+vTpA8+fPydqd8SI\nEcDhcOSWs7S0BA8PD6I258yZQyTXr98oflpamuz5VwjQpDLxHTJkiNxWrJqaGkhISCBq8/Tp00Ry\nR48ebZPLRFYQEQIDA4naBAA4dOgQsSyAINeKhYUF2NnZAY1GAwcHgOJi+er46COAmzcBCgrafo4I\nEBEBMGOGQl0EKysruHHjBjTKo+XE8Pf3hxEjRnR6nampaWsemmnTpgGXywUulwu+vr5E7bq4uLQx\nXssKjUYDJycnojb79etHJOfsPEZf1UZYjSmTlJSUid7e3rryytFoNLC3tydqc/To0URyM2bMIHpo\nAAD+7//+j0gOEeHtt98mkhXKb9++vc1nt24dhoYGBrx4IXs9vXoBLFsGIIxDJMw1nJ8PoKcH4Ows\nf99aWlrgwIEDrccff/wx9OrVq801na3MAAB8+umnMHDgQPD09ISMjIxO262urhbM7UEwmkFEiUmt\nXkbGjPGhJSSk+au0EVXOoaQVe3t7urLzxWqRTkNDA06Zwkd5F9AePBCk9uTz/7OZHD2KuHAhWT8o\nipLorSsaGKmzlRnRFZakpCQcPXo0Tpw4EW1sbFBfXx/t7e3x6NGjMnmlUhRFvPkyODiYKEBWdnZ2\nuyDYssDj8XDXrl1yy929W41GRr04+LIZYHk8nq6enh5f3Tte1Q1pXhoWi6WyEAe7dyMuWSK/nKen\nILaokCVLEEUWO5SCeMJ5acZUcRd3Nzc3DA0NJb5v+fn5RHLPnz8n+p05HA6xEx/Jviw2m0I9PUM+\ng8EwxpfJAFtTU2NlZmbGJcnne/HiRaI2Dx8+TCS3d+9eovl8bW0tcZunT58GOp1OJFtWVgYXLlzo\n8PzcuQDXriH88MOm1iG/LMydCxAWJvg/RVEQG9sI8oQnRUTYtEl6m46OjrBkyRKZ6isvLwcHB4fW\nY3t7e7C1tQUdHbJH2sXFhUiuT58+YGBgILecvr5+u6mdrJiZmcktY2BAA2NjG35lZaUNUaMyoBFl\nUllZadOnTx8uieywYcOI2pw2bRqR3MqVK4l+dAsLC1izZg1xm3379iWStbKyglmzZnV43tYWYPx4\nGtjZ/SBzcveWlhaoqNgKt24JbCalpS1QXX0GhIswzc3NUFdXJ7UOGo0GP/zQeZvyrO6JKybtyqB0\njI1tqJdSmTg7OxOFlB86dChRm6RGW1LDq6YwMDDotM9ffQWwc6cOcP9V52w2u901e/fuhdraWgAQ\n3IM///wOyssBamsBnj3rCSNHfgzCd5fNZsMtSb73/55DRLhx4wYMHToUBg4cCL///nu760Rd3d3d\n3WHdunVSv4MkF3c7OztISkqCBw8eSJXtiN27dxPJka7Y7dq1i2hp+eTJk1BRUSG3nJ6eno4qlYlG\nbCaHDh36v+XLl3e9SMFiyBopXRLPSdxCUbHASbLmd6EoxClTBImyWCyWxCRYkrboz5yJePGiIBCS\nuGesKKKerXv27MG6ujp0cXHBwsJC5HA46OnpKTUAM5fLxaSkJKk2k45c3Jubm4ljqsgS7V4SpLYP\nJpNJZONpaWkhCl85duwn3KCgoM/xZbKZVFRU2Pbq1UvuP/n37t2DoqIiudtLTU2FpKQkueXy8vKk\n2h86gqIoOH/+vNxyAACJiYlEcnw+X2b/GxoNYPdugN9+A2hoMIQvvvgCAACuX7/eeo2enl47uREj\nALKyAB49ApA220xPT28d1axbtw6ePHkCrq6u4OTkBPr6+jB//nwICQlpJ4f/Tlv09PRg165d8Npr\nr0Fubi44ODjAsWPH4ODBg3Dw4EEAEOSjcXZ2BldXV1i9ejXs378fAACMjIzA0tJSpvsgDukyMant\no2fPnkQ2nh49eoCurtxeFWBtba9XXl7ZX25BGWn/xKiB8vJyFzc3N7nvoqOjI5ibm8vd3pAhQ4h+\nNDc3Nxg0aJDccjo6OrB27Vq55QCgdServOjq6sKiRYtkvn7wYIClSwHWrwc4cwaAz+eBkZERNDQ0\ndGjg8/QE+OOPWNDR8YOFCzuue8qUKW2G75KMpcnJyW1kaDQaJCQkgKenJ9jZ2cGOHTvg3LlzUr/D\n3r17O/2eWv6jf39bKCrKHqyq+jUyMqmurnZwJvB2sre3J9r6bWJi0ur5KC8vs1Hvl18Eo4xDhwSj\nAQ8PD7h9+3aH13t6Cjxhnz0DcHXtuN6oqCjgcrlAURTcv39fpnsoydWdVFkkJCTAvXv3Or9QjKqq\nKjh+/Ljcci0tLRAUFCS3HJfLbedYKAuICFu2bJFbbsCAflBQUES2bCULqpo/SSsjR47MS0pKknvO\np246Cu3XGWWyRAqSwOPHj4kCDtfW1mKW6G48OUhJqUVz83yUJV4Pj4dIoyECIMp6a8LCwjAxMRHf\neuut1s+2bNnSaSBsJycn4pAPbDab6D5SFIXNzc1EbZJmdiSVI/l+EREP0cFhyHN8mWwmZWVlVjY2\n8huVSffW7Nmzh0hu69atRHIRERFEck+fPgUS35vGxkbiYD1c7hPYvdsMZs0CyM7+7/OHDx+2C7Ak\nOk0XN6kwmUyJm+0CAgJg5MiR8PTpUygqKgIOhwMXLlyAmTNntrlOkqs7yRQTQLCiRRKAiEajgZGR\nEVGbpKt+pHIk32/AABug0yvld1KRFVVpKWlFX1+fT6JZ8wiTsnSHiOma5uRJRFtbROFggE6nS4z9\noqMTI/CbFiMzM1NqQrTIyEgcNGgQuri44JYtWxARu2QA5pcZJpNCHR09is1mG6AK3mu1KxI+n68D\nAApFF9eiGo4dE0RXu3On42v09CQrE2k0NDTgwYMHifq0VVp0ayn8JinCtQxs3rz5pZWjKERdXUOq\nqanJBNWtTJYtW3bMysqqetiwYQ+FnyUnJ4/y9fVN8fLyyhg5cmRqSkqKr/Dcli1bvnN1dX3q5uaW\n888//0wRfh4aGjrDw8Mja+XKlYc5HI6+np6e5nJrygHp3pqSkhIiOdJAw5GRkURykvIV/fOPIA3G\n3r2Chw9RYPcQ7gcxMsJWZcJgMPDatWsytUWawlSdNgVE8t+8u8j16GHGq6ur640S3vfr169PdXNz\ny3F1dX26bdu2bxARCgoKnH19fVPefPPNqI7kUBZlcufOnfHp6ekjRJXJhAkTYm/cuPEWIkJkZOQ0\nPz+/GESEx48fD/X09MzkcDj6hYWFTi4uLvkURdEQEebNm3eez+frbNy4cVNqaqpPjx49iBLGku7s\n7ChLW2eQ/tU4fPgwkRxpCg7SKUFHDnJ5eYi+vohvvon49KlgyiOMYSuqTGpra4lzPWvRDEZGlrzn\nz5/3QbF3ncfj6bq4uOQXFhY6cTgcfU9Pz8zs7OwhX3311faioiLHqKioNzvLDCjVADt+/Ph4c3Pz\nNpsubGxsKhsaGswAAOrr63vb2dmVAwCEhITMWrBgwTl9fX2uk5NTkaura35ycvJoAACKonTYbHaP\n5ubmnrq6unx9fX2KxL4zduxYEjH44IMPiOS+//57IrmVK1cSyQUEBBDJjRkzhkjOtYP13YEDARIS\nAKZNAxgzBuC77yzg+XPBXiE+P7b1OnNzc7CysiJqW4tm0NHRQx6P186/LCUlZZSrq2u+k5NTkb6+\nPnf+/PnnQ0JCZunp6fEYDIYJg8Ew0dfXl7qfTm6ntW3btn07bty4u1999dUOiqJ0EhMTxwIIvFrH\njM+P25MAACAASURBVBnT6mZqb29fVl5ebgcAsGrVqkPjx4+P9/f3j3J0dCwRKhNhoB1hKMDOjsvK\nyqCsrEzm67XH5Md6egAjR8bCsWMAKSl+MHkyQHV1LPD5awFgLAAclqvOxsZGcHR0bN0QKGuffvzx\nR3Bzc2v9gyBre0VFRTBp0iTIz8+Xq73PPvsMJk+e3KrYZW0vMTERNmzYAPHx8XK1t3LlSli0aJHc\nv9Hdu3fhhx9+kPs35vN5NEnKpLy83M7BwaF1s5O9vX1ZcnLy6G+++eb3RYsWne7du3f92bNnpbgq\nQucG2MLCQifRaY6/v//tq1evzkFEuHjx4nuTJk26hYiwdu3aP0+fPv2B8LoVK1YcuXLlyjvi9b14\n8cLS3NycbEKrZtRpM2Gz2a05b+WhoaEB4+Pj5ZYrLS2VKThPU5MgBoqLi2B6A7AMATbK3R6XyyXa\nh6JuOQ6HQ7Q4QCpH6pMUFxdHJGdk1IdXXFzcH8Xey8uXL7+7cuXKw8LjU6dOLVq7du2f4tdJK3L7\nmaSkpIyaM2fO3wAAc+fOvZySkjIKAMDOzq68tLS01We6rKzMXjgFEkVfX5/L4XCI/FtOnTpFIka8\nG5TEOxEA4J9//iGSq6mpkVvGwMAATEzkz2PWWVBjigI4cQLAzQ3gzh2AkycFnxkZHQOATXK3p6en\nR7SlgVSOx+MReS9nZGQIjIlycuzYMaL2/v77b7llAKBN8jF5oNF0UNJ0Rfz9LS0tdbC3ty+Tq/LO\ntI34yGTEiBHpsbGxExARbt++7T9y5MhUFDHAstlsg2fPng1wdnYuEBpgRQuTyexpaGhI5FpKuqNW\n62ciH1VViJMnI44ciZiYKFi1Ee6MFV/NkTXqF+lK1dmzZ4lWZnbt2kXkzRoZGanWEYa66cgAy+Vy\n9ZydnQsKCwud2Gy2gdAAK36dtCL15Pz588/Z2NhU6Ovrc+zt7UuPHTu2LDU1deSoUaOSPT09M8eM\nGZOYnp4+Qnj9b7/99j8XF5d8Nze3HOGKj3hhs9kG3WVp+FXk7l1EGxvE77//z2X+8uXLras2BgYx\nrcqETqe3CZ0oDdKVqmfPnml9kpSItKXhyMjIaYMGDcp1cXHJ37Jly3eSrpFW5LpYGaU7Oa2R2kyK\ni4uJ5Ej3K5EmdLpw4QJWVFS0HoeFIfbpg3j9escyJE5rWjqGdGldUvrXzqAoRD09I76qnNbUvjdH\nR0eH0tXVRS5X/qiN6raZ7Nixg0iuo6hjnUEa99XW1pZIbvr06a0xPK5cAVi5EiA8HGDqVMGc/OHD\nhxKk/CTW9eTJE4nJ0jUFqU2BNJ6MMM6KvFy6dIlIjuRet7QgUBSP1tkSLzGq0FCdFWtr6waSxOOk\nNhPSCFqvCnfvCkYkootJqampEpOI6+igxJEJnU6X6DzHZDKRJDk9oiA6PWnq0N9//51I7rq0YZkU\nREd4XZW8vFo0NFRduguNKBNvb++npAY5LcolPx/R0rIAZfHI5/MRAQTTHFmjBjY2NmJlZSVR3xgM\nBrEbvpb2XL/+GO3t3eioovdaIyEIbG1tK0kC4qobNpsNfL78ca9fvHgB9fX1csvV1tbCo0eP5JYD\nEAQZlhceD2DRIoCZMzNh3LgmYDKZEB4e3uH1ZWUAFhYAVlYA0laxb9y40ToMNzU1JU5paWxsDKam\npkSy3QE+n0+U5xgRiYI/PX1aDpaWfcjm0jKgEWVibW1dWiCevFYGIiIiiG5+eHg45OXlyS13/fp1\nePr0qdxyNTU1RHImJiadpozoiNdff11umR07AIyNAY4ceQdMTU2BxWJJzbublQXg6+sHAwa0zz0s\nyqhRoyA1NZXIb0YIRRHtuAAAIE5E/uTJE6I+FxcXS1XCHUGn0yEuLk5uOT6fT5T7+tmzShgwoH+R\n3IIyohFlYm9vn19VVSW3Z5C3tzdREKA333yTKFH07NmzYfBg+UNmDh06lCgZtoGBAYyXJ7OVCPIm\nkXryBCAwEODYMQChT5ilpSWUlXXsp5SZCeDlJQgmLW0AZWFhAUZGRtCnTx+5+iRKcHAwlJe383mU\nCdJEbUwmkyhYkZWVFbzxxhtEcnPnzpVbTk9PD/z95U8bXFJSCQMG2D2RW1BGNKJMbGxsKurq6lgE\nckSxXHv27EmUda27gYgyT8s2bAD47jsAK6sW2LdvHwAIIo1VVFQIjGkSyMoC0NePhWHDAB4/bn9e\nNIj066+/Djo6OnDw4EGilZXly5eDnZ2d3HIAQJz8bOTIkUSR5o2MjIgj1KuTmppKvr29TbGq6teU\nMqmsrKxUzfKUkiGxfQAIwh529FJKo7GxUWpQZ2lkZ2fDtWvXOr0uNVWgGNasEYT/E41qP2PGjFa3\n8CdPnrQuV1OUwK1++HAAd3fJI5OgoCAQX/JfsGABUSjElzmQtxBpo0BppKamQnNzs9xypaUPKBsb\nm0qiRmVAUwbYivz8fPkTfwDA0aNHidrctm0bkVxwcDCRXE1NDZEiMjU1JZ4euLu7wzvvvNPpddu3\nA3zxBUCPHoKXtqPUFsbGxq32h6wsACOjRHjtNVcYNgzg4UOAc+fOw5Mn/42av/nmm3YxbHv16iXX\n3ho+ny8xlqysPJY0ZJKB8vJyyMjIIJIlzeh348YNIjkGg0EUA5bLbaFsbW1Vt/KhqmUiaaWsrMyu\nb9++RCG0SL1Lmcwun0BQLdTUIPbqReG33/4slxfy778jLllSgnV1dUhRiPb2iDk5su+KoCgKf/65\n8zYLCgrw4cOHMtcrzsWLF4nkSkpKiH1FSDP6qZvevV04ubm5g1BF7zUNCYbiisLj8fSMjIzYLBZL\nR1LmOC2K8fTpU+ByuRLzMh84IJiunD5NyTViGD1akGfH0DAW/Pz84IMPAPz9AZYvl71fFCVfm1qU\nB4+HYGRkTNXWVvc2NTVtUkUbGvll9fT0eH379m1St68JqeIUTZAtD8nJycRu3du3byfu74ABA9rZ\nLgAEfjPh4QgzZ4JcL3VuLkBxMcCkSf999sYbAqUkD6Jtii9tcrlc4PF48lXYBSD9jV68eEHkBsDj\n8VoDHslDenot6OrqUqpSJAAaUiYAAO7u7rkkjjcJCQlEc9sXL17AX3/9JbccAHl8EnNzc2ID7scf\nf0xshNTT0wNPT892nx88eAju3WuCf4Nuyczp0wALFghy5Qgjdo0fL78yEcJisdr9FhcuXIDKSnLb\nYFJSElEeagCAuLi41ohs8vLrr78SyT1+/BiamuR/r1ksVoc2LmncuJEBQ4d6PZNbUB5UNX/qrPzv\nf//b9vXXX8sdioDJZBK7WJNE3uruiEZhKy4WhBeQByZTEK3+8eO2n1OUYD8PoQlL6WRnZxP/vqWl\npciTdX+AGN3lmZo6dRu1bt3nB1CF77TGRiY+Pj4pjx8/Zsgr17NnT2IX6+42X+fz+VBcrJhbAIPB\ngKqqKgAAKCkBkNd379gxgNdeAxCaX4RDbBpNEHCawPGzDeXl5UrZbUyanB5AkMNaV5docbHbPFPP\nnqVxR43yuavKNjSpTNLS0tL0UY0GYB6PByyW3L5yAADEy4ZMJhPOnz9PJKujowMxMTFEskK4XG7r\nA9/YCCDPCJnBAPj9d4Bvv5V8fvZsABncWjokNzcXoqOjISoqirgOiqKIf1OhPCm1tbVEcjU1NcR2\nuNDQUCK5srJ4XR8fnzQiYVlR5bBHWqEoimZubs4kCXe3b98+bGpqkluuvLwcT506JbccIuLff/9N\nJIeIWFRURCyrLCiKwtWrd+GkSbIPyzdsQFy0qOPzDAaiqSliXZ0SOkhITEwMcVApRMRffvmFWHbX\nrl1EchkZGcQuDvfv35dbprCwFnv0MOXyeDxdVOE7rTFlgogwefLkJJIoYUwms9vMVTUBg8HAtLS0\ndp/Hx9fhkCGy1ZGaKrCJdBY9YMYMxDNnZO9bYWEhRkVFSTyXlZUlc0xZZfEqPEd//HELvb3H56KK\n32eNTvh8fX1j09LS5B5n9uzZs9vMVYWw2WxiWUSErVu3ynx9QUEB2Nvbt/vc17c3lJUB1NUJXLI7\ninZHpwPMnSvwSRGPHiC+LDl7NsDlyzJ3DXr06NHhDmd7e3viVRVSuttzRMLt2/fx9dd9FJsvy4BG\n76SPj09KWlqa3EZYACCKMwIg2IxGuifi9u3bwGAQdRcuX75MvHRJo9Fg/fr1Ml/v4eEhMdNejx4A\nkycDnDkjCHcgyc+ntlYQtnHBAoB33+28rXffBYiOBpC26//q1aut/jY2NjYduoJbWFiAj49P540C\nwJUrVyT2X1ZKSkqIwz20tLS02UYgDw8ePCDeDU0atjQzM5xStfEVADQ7zSkqKnK0sLBoIQkuvX37\ndqJUBjwejzhncUlJSZfNrctgMPDq1audXpeaimht3XZJl8Fg4OHDh/HBA0R3d8Qvv/wvabksfPgh\nYmBgx+fz8vJkr+xfQkNDpU55nj9/LnedooSHhxMnRc/NzSV2+U9LSyNOqk4StrSlBdHU1Jkrb9oK\nkqJRZUJRFM3S0pJBYoTtDtHtVUFoaKjEPED19fUyK7rduxHt7BAPH0bMzET85x/ERYvo2KcP4rFj\niNXVNXIZCOPiEIcM+U8BXb9+nSh6uih0Ol1hhaEFMTKyFg0NVW98RU3bTGg0Go4dO/a+MD+rnLIq\n6JHquXHjhkCLE9JREB4zMzOZk4h/+qlgqnPjhiBs49atAIMGWcDjxwDLlgHo6uq0WbpMT09v3eEa\nGxsL+fn5bcIG9uiRAg0NkZD0b6bpqVOnEieZF2JhYdFu9zSbzYZz584pVO+rxtGj0eDt7Zutq6tL\nZheQB1Vrq87KgQMHVi9cuJBBonVramqIRygk+XkRBSOiLVu2EMkiIj58+JBoWVsSbDabeHlSHiiK\nap0SxMTEYH19fbtRw++/Iy5erJr2//zzT2QymchisbC8vFyhusLCwvCxuDuvHJyRZ+lKjCNHjhA/\nrzt37iSSs7Sczg8MDPwC1fAua1yZlJWV2ZmamnI4HI7cNyo0NJTYh+PWrVtEcohIPNdWNvv27VP7\nUmpH1NYimpurxr2ewWAobVrLYPx/e2ceFsWVLfDbLCpGBdxYRaFFWVRAVGJG4zJjYnAkCsYlCSaO\n0SS+LxONcTR55r0XIO7GLXEZBFQUATVIgxtxQRARZVVWWW2QZm2g6X2p8/7odE9DQLqrqrsarN/3\nnU9vddWt003dU3c59xxc7y01ZWVluK/F61uCYRiuv/OLFwoYOtRGVlFRwYTXwZgAAJoxY0bZ3bt3\ndf6x+jNEYmCoGlZzc7NRzR19+y3A11+TWyeGYbB//3719zSm72vsbNv2CFxcPBrAQO3YKBbZAwIC\nYpKSkqR9n2k8tLe3E4q+fufOHVRVhW8TZ1hYGMIwDI0ePVo9d4R3qVxXXrX9ffNmhM6dU/qpkAWD\nwUBffPEFYjAYCABQSEiI8i2oI0+ePEE8Hg+3HhKJBNd9VRAJr4DXRyk+Pg5WrAg4j/vGumIoq/Uq\nyc/P92IymZ143jqtra1QXV2t83UAAFlZWZCfn4/r2o6ODtw5fonS0+8UGhqKe+erLty7d++Vn69f\nD0DAQ11Nbz03vD2T1NRUQr2aEydO4M4MWVtbC1FRUbiurampwbUFpLYWYNgwpvzhw4ezwUDtmHJD\nAqBcIra1tW3DMzEmFArh5s2bOl8HACAWi43Wb6Q7QqGwX7h+l5Up3fCJZGSVyWRw6NChVzZ+DMP6\nVShOQw/PvvuuCqytxwoMsSSsEqMY5jAYDAgKCrrMYrF0dq23sLBA7777Lq77Dh48WOvlVH3R3Nys\nVdCm6OhorbvpcXFxuL07iTJpktIVPywMfx1mZmZo8+bNr1z+FwgEWgX7xpPsTR8Y0pUBAKFz55LQ\n0qVLkg2yJPyfG1PfMwEAdOvWrXdmz55NSWReIku1paWluJNrqyB7eNLe3q63t3ZfwxwAgIYGgFGj\nACorta+3qKgIYmNj8SvWAyKRiHCdGRkZuHMlA0CPGy61pbKyEpe37MOHACNH+skTEhKWgQHbMOVG\nRCVisXiwpaWlCO+wIy4uDtd1AMo1fDxL0yq4XC7ua18Fn88n9CADKF3Z09LSSNJIO2MCABAaCrBy\npfb1EhkGNDc3622JPC8vj5BuV69exX3txYsXcQ1tV69uBwuLYTI+n/8GvI7GBABQYGDgTbzOOc+e\nPev3y4YRERGgubXgxo0b0NDQQKhODMMoiaciEChd9jMyej/n0KFD0EZCMJTW1lZgsVjqMofDwb3/\npb/T0gJgYXEe3nvPPx0M3H4pNyCacu3aNf8ZM2bgC/BKMe3t7VBYWEioDplMpvdJ1rNnz0JFRYVe\n76Hi4kWAKVMAJBJlWSAQAJvN1vt9o6OjCTsWNjQ0GGR1jGxCQgDGj39bcunSpRXwOhsTuVxu6uzs\n3Pj48WPcPyaR3smNGzdwX6tQKHCvKmnC5/Ph0aNHeu1ladadkpKiU6PRdpijvA/AkiWYeqk4KysL\n185XXcjOziZlyBMeHk7ImISHh+OeixOJRJCUlKTzdXw+gLV1AYwZY8OTSqXmYOD2axSrOSpMTU0V\nn3/++aGwsDBx32f/GQ6Hg8LDw3Hf38rKCve1JiYmuFeVNGGz2WjChAlo165dvQYvIopqZQEA0PDh\nw9VliURCKB6rqg4VFRXl6N13Y9CxY8pE57NmzUITJ04kVH9v1NbWoqqqKuTs7IzYbDbh+j777DPc\nQaYRQigwMBANGzYM17VisRhNmzZN5+siIhAaM+aEYtOmL46am5sbPpe3oa1XX9Lc3Dx6xIgR4p62\n2WuDMfhi6GtCVt/IZDJ48uSJutza2tplI2FbWxtcunRJXW5uboajR4+qyxwOB06fPv2nek+cAHjz\nTQB9jhrS09NJ2TPVX+fdhEIAe3seWFpai+vq6hyAgrZLufHoSYKDgy8dOHCAMqtAdPLuyJEjOhk1\nPp//yiVMIrtcyUQqlXbJx4thmFaNT6EAmDcP4Kef9KhcD1y+fFmnIY9AIIC9e/cSumdlZSWuoF0q\n8L4M9+4F8Pb+FYKCgm4ARe2WcsPRk2RmZr7JZDL5eH/YwsJCkMlkuK4FAEIhBvDA5/Nf6Yl75coV\nkKhmMSlGlzkTTWprlRHe7t8nT5fY2NhXRnFrbW3VeUMl0Z7JpUuXCM214ImW39oKMGoUBg4OTqI7\nd+4sBNqY/EcwDGNMmTKlSnO5TxcKCgr0PtGnDTKZrN92m3sDrzEBALh+XblcTNYOBiK+QcYKnufl\nm28AAgLSYPLkyXUYhjGAonZrVBOwKhgMBnz99de7wsPDcUVvnjZtmt4m+nShpKQEJSYm9viZXC5H\n+/fv17nO06dP4w6ITQbzdU1UrMF77yG0di1CwcEI4c19lZWVpU66ZW5urvV1P//8c6+7b6OionAH\neVYBQE4yOV3d7p89Qyg6GiFT0+PCTZs27WcwGIbLatcdqqxYX8Ln898YOXKkgMoEVhEREXqd0MUz\nttZ2nsJYkckA3n4b4Icf8F1/584dXN//Vb81GUPIH3/8kdDfJT09XednTaFQTmzv21cPlpaWora2\nNiugsM0aZc8EIYTeeOMNQXBw8NmDBw/iXuI6ffo0am9vx63D4sWLSXvjSKXKcC2a9VlYWOhcD4PB\nUL+9CgoK0O+//06Kftryqngm2mBmhlB8PELnzyN05ox212gu9S5cuBDXpjnN37r733TQoEE619ed\nnTt3EtrMJxaLdc7hc+oUQqamCDU0HJQHBQVdsbKywv+wkwGVlqwvefHihdOIESPEmisIusDn843G\ni/HUqVPQ1NQEISEhhCaHu8PjGdZhmMiciSYlJQBjxwL0FT3z5cuXhDdSaqJQKODHH3+EoqIiiI+P\nJ61eQ1Nergz18OBBC4waNUr0/PlzV6C4vVJuMPqSb7755tiXX35JadDV3Nxc0uK+6nOIcvDgQULL\nkobm/n2AMWMACgq6Hq+qqtKrrw6GYSCXywn/LSQSCe7c1SrwDKMlEoAZMwCOHQPYunWr5IsvvogE\nI2irlCvQl7S0tIwaNWoUn8jqTG5uLqEHp7a2ltC+G4FA0KU3gjcyXF+IxeJ+Fys1JgbA0RFAc7vQ\nrVu39GYUNetVKBSEwk+IxWLC0fJDQkJ07j1v3w7w978D1NS8AEtLS1F9fb0dGEFbpVwBbSQkJOR/\nFy1ahLtr8ODBA0ojqkVERHRJnHXhwgW972qtrq7GHSrwVZA1zNFk584CGD2aBTgS/+lEY2MjRERE\nqMsdHR1w6tQp/d60D3Q1+gkJSuPb1ATwj3/8Q7hjx479YARtFPqLMeHz+W/Y2tq2Ewk0QwZyuZyS\n7fxkcPv2bcK7mgHIMSZyuRyKi4vVZYlEAv/+NwaOjgClpYSr1zvPnj0zyO7n7uTnK+dJHj9WekWP\nGTOmk+oVHE2hXAFt5ddff/2vd955h1DSE6LLvBiGwZkzZ7Q6l8/na5UnJSoqyiCxN+RyeZfYIRkZ\nGQbNuaMZjJnL5UJKSsqfzomMVDq1lZSQd1+JRAK3b9/u87yXL19q/Xs8evSI8MS+5h4nbWhoABg/\nHkC168Lf31+wf//+f4ERtE2VUK6AtiKRSAa5uLhwiGzzv379OmRlZeG+Xhdu376tVWAjquJmlJeX\nQ1NTk7ocGxtLSqAiFRkZGWoPVYVCAUePHtWqS3/2rNLtnqzgcBwOB6qqqvo8r7W1lZQQEtry9OlT\nrc/lcgG8vQH+7/+U5czMTLC1tW0TCoUWYARtUyWUK6CLxMTErHFzcxMSmVwka2Kyvr6edHduMhuz\nrrS0tHTpIR0+fLhLb+LYsWPQ3t6uHuaEh4d32fdy8ODBLm/2+/fv4/59bt1SrvKcPYvrcgAgP66u\nXC6HO3fukFqnNnR0AMyaBbB5szI+DIZhMG/evM7Tp0+vByNok5pCuQK6iEKhMPH29n5++fJlHH8W\ncqmsrITuWQj5fD7uHMYAAAkJCVq9RalAKpWCQqFQGxMej6dX7+CiIgAXF4Dvv1d6eupCRkZGj8Mo\nbXn48OGfhjxNTU1QSsKEji51dHYCzJkD8MUXSkMCoOxdu7m5sWUymRkYQZvUFMoV0FVSUlIWOTs7\nC4gs6XG5XIiJicF9fW+Ul5f3mzw8/YGmJoC//AUgIEAZ29RQtLa2QgmZEzd/0NjYCLdu3dLqXA4H\nYPp0gA0b/mNMRSIRjBs3TmToqPPaCuUK4JHg4OD4wMBAQhsqiEZ910Qfwayzs7MB767pgYRYDLB1\nq3I59FXpqCMjIwn7fPTE5cuXDe6zU1oK4OysnCPRvPW//vUvSVBQ0DUwgjbYk1CuAB7hcrnW9vb2\nXH34POgKn8+HnTt3Al6X/1dhjI5nVP3mN28C2NkBfPcdQE9TMfqI94JhGOzdu5fwqpdYLNZ6Dufm\nTeUEtIY7DAAoJ11tbGw6Ghsbx4IRtMGehHIF8EpycvISFxcXQsMdAAAWi0Wo0YrFYmhubiakQ18o\nFAoICwszCuNCpQFvbATw91d2/+/e7YCTJ0/q/Z5cLpdwQrOoqKg+e8IymXJ+yMEBIDW162cikQiY\nTKYwLi5uJRhB2+tNKFeAiKxduzbuk08+IeSkUVRURGr2u8uXL+tlYtJYNixSDYYBREcD2NrK4dNP\n+XqZSzl06JBBI9tVVQHMnQuwaFHPgaO2bdsmWb58OWXhGLUVyhUgIlwu19rW1rbd0G9LhUIBu3fv\n7vGz58+f690JLS0tDX7va7vtAOT8+fPqCHptbQD//Kdy5/HJkz0PffDC5/fsG7l3716dlrv7egFI\npQB79ihTqe7d2/OqVX8Y3qiEcgWIClnDndbWVsjLy9P6fG3eXIYaluhj4rE3DG24NXuNPfX48vIA\nFixQLiOfPv2fhF+6ok0oB116K1wut0tk/+6kpgJMnQrw7ru952QWiUTg5ubGN/bhjUooV4AMWbt2\nbdymTZsIxQjAMAxSuw9Wu6Hr8KW7I5e+iIuL6+Jgpk8MaUwKCwu1XtFKS1MOE8aPV/ZUdI0YcejQ\nIZ16HXiHsunpAAsXKo1fbGzX1ZrufP755/1ieKMSyhUgQ7hcrrWNjU2HNnswiLBr1y6jiRLfG52d\nnbBv3z6q1cCFWCwmrPvDh8pJ2lGjAL766s+xUshALpdDaGhor591RyYDSExUGrsJE5QrNX3Zrf40\nvFEJ5QqQJcnJyUucnJwEZDiNZWRkkB7BLDU11WCBizSHV8+fP++zx0UlN2/e7DJHQdYWhepqgP/5\nH6V/ysyZykBCmmFk5HI5HD9+nPSh6K5du9TfobISYOdO5QrNW28BnDmj3TCMy+XCxIkTBfHx8R+A\nEbQtbYVyBciUnTt37pkzZw6faO+hubkZysrKAEA5GUfGhCqbzaZk27pcLoe6ujp1uaCggFAoAqLD\nnCdPnnTZAPns2TO9rlTJ5QA3bgCsXavc7+PhAfDttwB37mBQVUX8xSOTydQvHolE6Vj37bcA7u7K\nyeGvvwbQ5eeWyWTg5eUl3rx5869gBG1KF2EAUBcZn2wwDDNZtmxZiqmp6dzffvttEJEAvyrOnz+P\nFi9ejEaPHk2ChkpEIhEaMmQIoQDEeOns7EQdHR3I0dERIYRQSkoKGjFiBHrzzTcRQsqXy6v0Sk1N\n1SndBYvFQi4uLmjKlCkIIYQKCwuRi4sLGjp0KP4vgROFAhCLVYUKCpjo5k2Enj5FyMkJoenTEfLx\nQcjNDSE7O6XY2CiDX3cHAKG2NoQaGxHicBDKyWlHiYmXkECwFpWVDUZTpiDk74/QkiUI+foipGOM\naLRlyxZJUVFR9vXr1+ebmZnJyfnmBoJqa0a28Hi84Z6entW//PILKa+7mJgY0ocnBQUFkJycTGqd\nRNDsGVy7dq1LmAYWi9Ul/zCLxYLs7Gx1OTExsUs5ISEBcnNz1WWyYueSAZvN7rLzVypVzqmcOaOc\nX1myBMDHB8DWFsDMTDnvMmaM0iPV1lb576BBAFZWAJMnK1N2bNwIsG7dBWCx6qCXFWWtiYyMBEZ6\nGgAAEmdJREFUVLi6utZxuVxrMIK2pKsMqJ6JiqqqKpe33norLyYmZsTChQt1vl4gEKCGhgbEZDJR\nQ0MDsrS0xJWWQlugj94ADX4UCgWSSqU6//3kcmUPBMOUvRFV0rCRIxEaMqTna168eIGsrKyQpaWl\nznrev38fBQYGCjMyMnzd3NxKda7AGKDamulL7t69u2DkyJHiCs1IxVqSlpZmsN2/MpkMQkJCjMJV\nXhuMYT+ULsTHx0Nlb44cBGhvb/9TCtrW1lZcMU/YbDbY29sLr1275g9G0HbwCuUK6FOOHTv2laen\nJ5+slZk9e/bovdtu7EalPxgTQ4TBTEtLI8W3RyAQwPTp0/n79u3bAUbQZogI5QroUzAMY2zcuPFs\nQECAoC8nIz6f3+dbRZ/BgFR0n5Og0Q2RSAQHDx6kWg24f/9+nw6Lf0RNE3/00UeXqUw4TpYMyDkT\nTaRS6aC//vWvmePGjZsWExPTw/y8EjabjQYPHoxsbGy0qpfNZiMnJyfS9OwNqVRKSvrKgYxEIkEi\nkQhZWVnp9T5paWnIwsICzZw5s89zuVwuamtrQ0wms9dzQkND5UlJSc/T0tJ8hwwZIiZTV0qg2poZ\nQpqamsZMmjSpds+ePaTl5bx48SKhBE7aIJVKYc+ePUY19DHGYU5SUpJWmQCIQubWiKNHj8pdXFw4\nL1++tAcjaCNkCOUKGErq6uocmExm/eHDh9XroAKBACIjI7v/nY2WoqIitTMdVRiDMWlsbDRYnmCR\nSET4pXHu3LkuwbdDQkLkjo6OLTU1NePBCNoGWUK5AoaUmpqa8Y6Oji2hoaEKAOVKSgsJATHOnj0L\ntbW1hOvpC6FQ2CV51euEpi9MZ2dnr2ECyCY+Pp5wFD0ul6ve03X27FnM3t6eW15ePhGMoE2QKZQr\nYGipqKhgOjo6tkZERJA2myqXy0lPe6ENFy5cICViurGDYRiEhYUZZAJcn1y8eBGzs7NrKy4udgcj\naAtkC+UKUCGlpaWTHR0dW06ePEn601lYWAhcLpfsarXi8OHDel+6NtQwJyoqirJUrHv27CF9efnI\nkSPY2LFjeU+fPp0KRtAG9CGUK0CVVFRUMB0cHFp/+uknUneZtba2dnE/NyQCgUA9WSsSiSA6Opr0\ne+jLmNy7d6/L70ZlL4TsjYenTp2SOzg4tA7UHolKKFeASqmpqRnv4uLCIXOVRxOFQtFl4s2QYBjW\nZZdyQ0MDnDt3jhJdeuLhw4ddQk/yeDzKVq34fD7ExcXppe7Dhw/LnZycmgbiHEl3oVwBqqWurs5h\n8uTJ7C1btkjJfhvy+Xw4deoUqXUSQdMTuLKysksSdh6PR8pktIrOzs4uy7U5OTmQmJioLstkerHf\nuBAKhaSnKsEwDHbu3ClzcnJqqq6ungBG8KzrWyhXQFths9nj5s+ff8/Dw6PI09Oz8MiRI/8EAPTt\nt9/ud3NzK5k2bVrB8uXLf2tvb7cEAFRdXT1hyJAhIm9v7zxvb++8L7/88riqLhaLtXTatGkFn332\nWTgAoMbGxrF+fn5PAwIChPr0HaFiklZb6urq4MaNG+pyUVERXLx4sUs5NjZWPcxRlVUUFhZ2ebtX\nVlbC48eP9a84TmpqavS2MiYQCGD16tXCmTNnFlZWVjrPmjUry8vLK9/d3b14x44duwEAxcfHf+Dh\n4VFkYmKiyMnJmQ5/PJu6PLfGJpQroK1wOBzbvLw8bwBAnZ2dwyZNmlRWXFzsnpKSskihUJgAANq+\nffue7du371H9UaZMmfKsp7pWrVoVq1AoTH744YeQwsJCTwBAYrF48Pr1689PnTqVr698v1FRUQZZ\nQtYnxuBnQga5ubl6iXzHZrPB09NT+NFHH10WCoUWAIAEAsFQAEAymczMz8/vUXp6+pySkhK3srKy\nSfPnz7/X3Zjo8twak+gYuoU6bG1tG7y9vfMRQmjYsGF8d3f3kvr6evtFixb9bmJigiGEkJ+fX1Zd\nXZ1jX3VhGGYikUgGC4XCoYMGDZIihNDgwYMl4eHhwRs2bPjvmTNnSlJSUkj/Dp9++qk6KJFMJkNy\nef+KfYMQ0ikwkjGhUChQcnKyuuzj40N6WInMzEzk5+cnCg4ODouOjv7AwsJChBBCQ4cOFSKk3Nqh\nUChMR44cyXVzcyudNGnSc13q7+m5NSb6jTHRpKamZkJeXp6Pn59flubxyMjIf/j7+19Xlaurq519\nfHzy5s+fn/rgwYM5quMbN27899y5c9NNTU0Vrq6u5arjDAYDvvrqqyNxcXFLgoODO0+cOIHp6zu0\ntrai6OhofVVP0w0AUBtyfRAVFYW9//77/NOnT6/Yvn37LgaDod70hmGYibe3d76NjU3jggUL7nl4\neBS/qi5dn1ujgequka7S2dk5zNfXN7t7JviwsLD/DgwMvKIqSySSQaqIVTk5OdPHjRvH5vF4w7W9\nT0VFBdPDw6N648aNIkNEpC8rK+sXWfv60zDnzp07UKCP8PQayGQy+Oyzz8TOzs6ckpISN3jFM9Xe\n3m7p5+f36N69e/NVx7oPc4g+t1RKv+qZyGQy86CgoCsff/zx+WXLll1VHT9z5syn169f979w4cJH\nqmODBg2SWltbtyGE0PTp03OZTGZleXm5q7b3YjKZlZmZmV51dXWZ8+bNEzU3N5P7ZbrB4/FQdXW1\nXu/xuuHj44OmTZumt/rb2tqQv7+/kM1mP8nJyfHoK0KapaVlx5IlS65lZ2fP6O0cos8tpVBtzbQV\nDMMYwcHB5zZv3nxI8/iNGzcWe3h4FDU3N4/WPN7c3DxaLpebAgCqrKx0cXBwqGtra7PS9b4KhcLk\n+++/3zdhwgRBenp69xeTXpDJZHDgwAGj2i3cH6ipqYGIiAiD3Ovu3bswfvx44TfffHNMJpOZQS/P\nT3Nz82jVcycUCi3mzp2bdvv27b+qPp8/f/697OxsXyD5uaVCKFdAW0lPT5/DYDAwLy+vfNWy2fXr\n19+bOHFiuZOT04vuS2mXL18O8vT0LPT29s6bPn16TnJy8hIi97969er7NjY2HR9++KGEzETnvaF5\nD6FQ2C+GQIYGwzC4c+eOQX8bkUgE27dvl4wdO5anTdrOp0+fTvXx8cn18vLKnzp16tN9+/ZtAwD0\n22+/LXd0dKwdMmSIyMbGpmHx4sU3QA/PrSGFcgX6k7S0tIxas2bNb66urnxD9VIAAKqqqgy25b4v\njGHORLPH9uDBA4O53j98+BDc3d35gYGBNxoaGmzACJ5JYxLKFeiPkpCQsMzOzq49ODjYIL2U7ly7\ndg0yMzMNfl8A6o3JuXPnAE+QcCKoeiOjR4/ujI2NXTUQQizqQyhXoL9KS0vLqNWrV191dXU12FxK\nb1y4cKFLlryBxO3bt+H+/fuU3T8rK4vujWgplCvQ3+WPXkrbhg0bKOmlACjfnJqhByIjI4EqXYiS\nn58PV65coVoNEIlEsG3bNsmoUaP4dG9EO6FcgYEgLS0to1atWpXIZDIFSUlJlK/CtLS0qDfSYRgG\noaGhpM0rkDHM0fx9um84pPq3wzAMbt26BR4eHnRvREehXIGBJMnJyUs8PDxqZs+ezb979y4YC5qG\nRCKRwE8//aQui8ViSE1N1bouXY0Jj8eDq1evqsv19fVw8uRJneowFFlZWeDr6ytkMpn1V65cCaR7\nI7oJ5QoMNJHL5aZRUVGfOjg4tC5dupT/7NkzMGakUik8evRIXe7o6IADBw6oy21tbV3y0LS1tcHP\nP//ca5nL5cKhQ4fUZbFYTFnENG0pLS2FoKAggYODA/fUqVMbX+U3QkvvQrkCA1VEItGQn3/+eevY\nsWN5y5cvF1VXVwONcVFbWwvr168XWllZCXfv3v29ancvLfikX7nT9yeGDBki3rJly8Hnz5+P8/T0\nPOzr6yvasmWLRN9u+fomNTWVahUIw+Vy0bZt26ReXl6i0aNHn6iqqnLYsWPHLtXuXhp80MZEz1ha\nWnaEhoZ+V1xc7CyTyaInT54s/uSTTxQcDodq1V47mpqaUFhYmGLixImS9vb2uKdPn7ru2bNnq2ov\nDA1BqO4avW5SUVHB3LBhwzkrKyvhypUr+ampqZSvYAxkMAyD+/fvg7+/v8jS0lK0bt26mNLS0slg\nBM/CQJMBn2vYWOno6LCMjo5ee/To0R0AYLV582aL4OBgxogRI6hWbUDA5/NRTEwMHD9+nM/n8wWb\nNm3av27duii6F6JHqLZmr7tgGMa4e/fughUrVly3trYWffDBB+L8/HwwVqh2p++L4uJi+Oqrr8TD\nhw+XLFu27HfNsJ606FfoOROKYTAYsGDBgnuXLl3yLywsZHp4eOz39/dvf/vttzsvXLiAOjo6qFbR\n6Ons7ES//PILmjNnDn/hwoUdlpaWh4qKiiYmJCQs0gzrSaNf6GGOESKTycxZLFZAZGTkP1NTU2fP\nnj1bFBAQMHzp0qUMZ2dnqtUzCthsNkpMTETJycm8hw8fDnnzzTdz169ffyQwMPA3Y4yP+jpAGxMj\nRyAQvPH7778vYrFYq5KSkv5uaWlpsnr16kEBAQFmM2bMQCYmr0fnEgBQbm4uYrFYChaLJWSz2abv\nvffezeXLl8e88847KcOHD++kWsfXHdqY9CMUCoVpVlaWX1JS0nIWi7WqqalpzNy5cxnr1q0bPHfu\nXGRlZaV3HVJTUw0WoZ7H46EHDx4gFoslTkxMBAsLC15QUFBsQEDAldmzZ2eamZn1v/D+AxjamPRj\nKioqJrJYrIDk5OQPHz9+PNXa2lrh5eWFzZs3b6ivry9j+vTppBsYfRkTHo+HcnNzUU5ODsrJyeE/\nefIE1dXVDZk1a1bh0qVLY5YuXcqaPHlyGek3piEN2pgMEBQKhWlpaalbTk6Ob05OzuycnJw5ubm5\nk21sbKSzZs0CX1/fN3x8fBgzZsxA1tbWlOra0dGB8vLy0PXr1xGbzebn5uaily9fDnZzc6t56623\n7vn6+mb6+vrmuLu7l9C9j/4DbUwGMAqFwrSsrGxydnb2jJycnNmZmZnzS0pKXBBCDDs7O7GFhYWJ\nq6srjB8/frCdnZ35mDFjkJOTE7Kzs0P29vZo+PDhiMFgaH2/zs5OVF9fjzgcDqqvr0clJSVIIBDI\nGhoaxBwOBysvLx/E4/FMFQoF8vLyqvDx8Xk4c+bMDNpwDAxoY/KaAQAMHo83gsPh2NXX19tzOBy7\nP/4/ns1muzY1Ndk1NDSMra+vHymTyUwtLCwUZmZmmJmZGWAYxhg6dKiCwWCAXC5nCIVCsz/+byKR\nSEwQQsjBwaHV3t6+0d7evs7GxuaFo6NjtZ2dHcfOzo5jb29fb2dnx7G0tOzQTFJFMzCgjQlNrwiF\nwqFSqXSQXC43k8lk5nK53Ewul5sBAMPc3FxmZmYmNzMzk5ubm8vMzc1lQ4cOFdJG4vWFNiY0NDSk\n8Ho4KdDQ0Ogd2pjQ0NCQAm1MaGhoSIE2JjQ0NKRAGxMaGhpSoI0JDaqtrR23YMGCe56enkVTpkwp\nPHr06D8RQmjVqlVxPj4+eT4+PnnOzs7VPj4+eaprdu/e/Z2rq2u5m5tbaUpKyjuq40lJSUu9vLwK\nNmzYEE7Fd6GhEKoDqtBCvXA4HNu8vDxvAECdnZ3DJk2aVFZcXOyuec7WrVsPhIaG7gQAVFRU5OHl\n5ZUvlUrNq6urJzCZzApVjplVq1bFKhQKkx9++CGksLDQk+rvRovhhO6Z0CBbW9sGb2/vfIQQGjZs\nGN/d3b2kvr7eXvU5ADDi4+NXrlmz5iJCCCUmJr6/Zs2ai+bm5rIJEybUTJw4sSIrK8sPIYQwDDOR\nSCSDhULhUDquyOsFbUxoulBTUzMhLy/Px8/PL0t1LD09fa6NjU0jk8msRAih+vp6e0dHxzrV546O\njnUvX750QAihjRs3/nvu3LnppqamCldX13LDfwMaqjCjWgEa44HP5w9bsWLF5SNHjnw9bNgwvur4\nxYsX13z44Ycxr7pW5Ub/t7/97XZ2dvYMfetKY3zQxoQGIaQMFRkUFHTl448/Pr9s2bKrquNyudws\nISFheW5u7nTVMQcHh5e1tbXjVOW6ujpHBweHl4bWmca4oIc5NAgAGOvXr4/w8PA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"text": [ - "<matplotlib.figure.Figure at 0x35cfc10>" + "<matplotlib.figure.Figure at 0x35677d0>" ] } ], - "prompt_number": 3 + "prompt_number": 1 }, { "cell_type": "heading", @@ -201,7 +171,7 @@ "input": [ "import math\n", "from pylab import *\n", - "%pylab inline\n", + "%matplotlib inline\n", "#Varable Declaration\n", "\n", "N=5 #Number of elements of dipole\n", @@ -239,30 +209,15 @@ "metadata": {}, "outputs": [ { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Populating the interactive namespace from numpy and matplotlib\n" - ] - }, - { - "output_type": "stream", - "stream": "stderr", - "text": [ - "WARNING: pylab import has clobbered these variables: ['power', 'draw_if_interactive', 'random', 'fft', 'linalg', 'info']\n", - "`%pylab --no-import-all` prevents importing * from pylab and numpy\n" - ] - }, - { "metadata": {}, "output_type": "display_data", - "png": 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GQSMjIwQFBXGik8fj4c8//8S9e/fwyy+/cCJTlzQYZ3Lx4kWsWLECoaGhnKbH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\n5Zq42dnZMDU1rZcZqiwoKCiAs7MzMjMz0axZM53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+4+LieMvmPmHCBKb3sWPHDmzatAlZ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\nSBAUFIT09HTmfEpKCiQSCebOncv5fQjwhxByKAAAsLOzw8aNGxEYGAi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SkpIgOjq6/ljZOZuMDAAfH7qs0j58fQFevFBNB0VRcPLkSfFfTw1w5swZqKmp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\nvY7U7bo5KqZNm3Y5ODg47m9/+xt1ORZfARHh559/bnOuT58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