diff --git a/Gaussians.ipynb b/Gaussians.ipynb
index 86a0a38..fc4e30b 100644
--- a/Gaussians.ipynb
+++ b/Gaussians.ipynb
@@ -1,7 +1,7 @@
{
"metadata": {
"name": "",
- "signature": "sha256:9a6dc147357bb4522160e2ebc131a4f64e7a03c2500c7f1f5facd8e9dc8248cd"
+ "signature": "sha256:35f8f47267a42738f2da4b329547de79758e5299ece9361cd407c64a8960b18b"
},
"nbformat": 3,
"nbformat_minor": 0,
@@ -27,8 +27,223 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "html": [
+ "\n",
+ "\n"
+ ],
+ "metadata": {},
+ "output_type": "pyout",
+ "prompt_number": 1,
+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 1
},
{
"cell_type": "markdown",
@@ -58,7 +273,25 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stderr",
+ "text": [
+ "/usr/local/anaconda/lib/python2.7/site-packages/matplotlib/font_manager.py:1236: UserWarning: findfont: Font family ['monospace'] not found. Falling back to Bitstream Vera Sans\n",
+ " (prop.get_family(), self.defaultFamily[fontext]))\n"
+ ]
+ },
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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LkYU7ZOKJmIt02IQRkeTeKKrH0uRwBProlS5FdW6YFIrG7kEU1nYqXQoRjRKbMJXj3L14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\nP38+AOCaa67B/v37lSzT4xiNRuh0OgwMDMBms2F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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 2
},
{
"cell_type": "markdown",
@@ -134,7 +367,25 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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YWunETXOM90ERHkNizEUdPm1tERYWhvT0dH/XQkQj5FWUoWYsxy67FDKApROH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\nLi4OHR0dkquT58RcTvTBBx9g4cKFkqqS78RceN4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+ "text": [
+ ""
+ ]
+ },
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Probability of 22 is 19.95\n",
+ "Probability of 24 is 12.10\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
},
{
"cell_type": "markdown",
@@ -177,7 +428,17 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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AkJqaitawuyjdaDSiT58+yM7ORmhoKIYNGyZZlH7w4EHMmzcP33zzDWprazF8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\nnEHIriA0rkA09obo7E3Q2NqjszdBa2uC1t6YpvYmtLQ2Q0JDIZCVlUX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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 4
},
{
"cell_type": "markdown",
@@ -208,7 +469,17 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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X6deyyhZdOINNAoBodMGMPP1jR5v2tfebjgLEFAorMIzuW12js47IUUaCx3QU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\nmHwAAAAASUVORK5CYII=\n",
+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 5
},
{
"cell_type": "markdown",
@@ -247,7 +518,25 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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+ "text": [
+ ""
+ ]
+ },
+ {
+ "metadata": {},
+ "output_type": "pyout",
+ "prompt_number": 6,
+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 6
},
{
"cell_type": "markdown",
@@ -291,7 +580,223 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "html": [
+ "\n",
+ "\n"
+ ],
+ "metadata": {},
+ "output_type": "pyout",
+ "prompt_number": 7,
+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 7
}
],
"metadata": {}
diff --git a/Kalman_Filters.ipynb b/Kalman_Filters.ipynb
index 2ebc95a..8fdf50f 100644
--- a/Kalman_Filters.ipynb
+++ b/Kalman_Filters.ipynb
@@ -1,7 +1,7 @@
{
"metadata": {
"name": "",
- "signature": "sha256:eb8fb6c7b3c058958756ae2a421b60bc30ea1fe666e553e82c7d2a8926accdee"
+ "signature": "sha256:7f0e4714da29bebd7f295be9d05ed70731b3573b9f5195ce553f68fc05a0f3f0"
},
"nbformat": 3,
"nbformat_minor": 0,
@@ -26,8 +26,223 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "html": [
+ "\n",
+ "\n"
+ ],
+ "metadata": {},
+ "output_type": "pyout",
+ "prompt_number": 1,
+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 1
},
{
"cell_type": "markdown",
@@ -69,7 +284,7 @@
"language": "python",
"metadata": {},
"outputs": [],
- "prompt_number": ""
+ "prompt_number": 2
},
{
"cell_type": "markdown",
@@ -89,8 +304,16 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "-0.0658\t-0.9407\t0.7251\t0.3994\t0.8913\t1.3388\t0.8315\t0.0733\t-0.4343\t0.1143\t-0.1462\t0.1979\t-1.6322\t0.8444\t-0.8237\t0.2480\t1.0962\t-1.5944\t-0.4201\t-1.9672\t"
+ ]
+ }
+ ],
+ "prompt_number": 3
},
{
"cell_type": "markdown",
@@ -120,8 +343,32 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "1.0000 2.0000 3.0000 4.0000 5.0000 6.0000 7.0000 8.0000 9.0000 10.0000 "
+ ]
+ },
+ {
+ "output_type": "stream",
+ "stream": "stderr",
+ "text": [
+ "/usr/local/anaconda/lib/python2.7/site-packages/matplotlib/font_manager.py:1236: UserWarning: findfont: Font family ['monospace'] not found. Falling back to Bitstream Vera Sans\n",
+ " (prop.get_family(), self.defaultFamily[fontext]))\n"
+ ]
+ },
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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XVFVVwe124/e//32rJ+SbkxSOll32tFyNUzbFDSNvTprquMvKypCTk4Nhw4YhOzsbY8eO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\nMv8PaqTsJb+Cy8cAAAAASUVORK5CYII=\n",
+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 4
},
{
"cell_type": "markdown",
@@ -156,7 +403,17 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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rV9X06pWDWg3qhFOM3TyC00sz2Dd7A7W6BfHV2648/3wO5crdOaHt6QleXgrn\nzqllTsNByUjDDki/1kRyYVJYLlavdqJLl7yCQXY27l274vxMO47O20T3d5rw558ali51YtiwO0cZ\nt9w6M/zsWdtpT8nnwnxkpCGEg1CUvKLx5ZfpeXc4O3Nj1y4oVYqOKJw4nUVYmAd9+uRQocLdl83W\nrm1g504tzs4Knp4lFLywGjLSsAPSrzWRXJj8OxdHj6rJyICmTW8bHZQqlf8/R4zI5q23MnnttXtf\nnjU4OO8qfbYynwHyuTAnKRpCOADVxYusXqXj2WdzUanucowKhg/PvucoA/KKRl5rynaKhjAfixeN\nlJQUnnvuOWrXrk2dOnX45ZdfuHr1KqGhodSsWZOwsDBSUlIsHaZVk36tieTCpFWrVnk70i5ciGeb\nNhxZftws25XXqpU3UqlSxTbmM0A+F+Zk8aIxcuRIOnbsyNGjR/njjz8IDg4mMjKS0NBQ4uPjad++\nPZGRkZYOUwibcu2aiq/euISmQ3eco6L49dMNHNU1oFGjh/+id3eHwECDjDQclEWLxvXr19m1axcD\nBw4EQKvV4uXlRXR0NOHh4QCEh4ezZs0aS4Zp9aRfayK5ABSF42MWE7GgJVP/6kCviruYvLYR3brl\n3LU19V8NGJBN8+Z687xYCZDPhflYtGicPn2acuXKMWDAABo3bsyrr75Keno6ycnJ+Pn5AeDn50dy\ncrIlwxTCtuj1ZO08yPdDv2Tgsf/xaDM4fFhDz57m26585MhsqlWTkYYjsmjR0Ov1HDx4kIiICA4e\nPEipUqXuaEWpVCpU5vp5ZKekX2siuYAjJ5wZ7jafnu89jbs7RERks3fvDYKDHfdLXj4X5mPR8zQC\nAgIICAigadOmADz33HNMmjQJf39/kpKS8Pf35+LFi/j6+hb6/IiICAIDAwHw8vKifv36+R+OW8NR\nuS23He32smXOtGjxN3v2HLOKeOS2ZW/HxcWxZMkSAAIDAwkLC+NhqBRFsejm923atGHevHnUrFmT\n999/n4yMDAB8fHwYN24ckZGRpKSk3DEC2bJlC40bN7ZEyFYnLi5Ofknd5Ci5UBTYs1vDtc+W0OSj\np/CvUxoAvR4aNPBizZpULl3a6RC5KApH+VwUxcGDB2nfvv0DP9/iZ4RPnz6dF198kZycHKpXr86C\nBQswGAz06tWL+fPnU6VKFVasWGHpMIWwCllZsHixMzGzk/gw6VVqOd9g9KD2zNkMrq6wfbuWChWM\n1Kxp5NIP2D0cAAAgAElEQVQlS0cr7JHFRxoPSkYawtGcPaumf7gb/XPmMuTC/2EYNYysoUN5ZbAX\nOp3CzJkZDBpUimbN9LzySralwxVWyuZHGkKI+4uJ0TFmuI7dZToQ6JFCesxajMHBqIDp09Pp2NGD\nyZNd2LxZy+TJGZYOV9gxi5/cJx6erEE3scdcfPutE6+/7saCqGzKRUaQ+lMMxuDg/Mfd3GDx4nTm\nz3emTRs93t55zQN7zMWDklyYj4w0hLByixY5M3NmOs2aGdATUugxlSoZ+fHHVFxcSjg44XBkTkMI\nK3bpkorHHvPkxInr6HSWjkbYg4ed05D2lBBWRp2QgHuPHmh++42tW3W0aaOXgiGshhQNOyD9WhOb\nzsXNHWk9QkLIbdMGQ716xMbqePLJ3Ad6OZvOhZlJLsxH5jSEsAL7vr9ApfeHU7P8dVLX5q2M0uth\n2zYtEybIaihhPWSkYQfkTFcTW8xFcqKBKkN78X1KGNs+3Jy/MurAAQ0VKhipWPHBph1tMRfFRXJh\nPjLSEMKCjEYYPMyLx4fH4VPRiSlTnVi+PA3gZmvKdrYfF45BRhp2QPq1JraWiy++cCE3F0a/CS++\nmMPhwxp++00D5BWN0NAHm88A28tFcZJcmI8UDSFKkOr8+bxdBYGdO7XMmePM7NnpaLXg7AwjR2bx\n6acuJCerOHNGTdOmMtIQ1qVIRSMhISH/Ot2ZmZksX76c77//nuxs2d/GGki/1sRqc3HrWt1PPMHB\nuX/Svbs7gweXYsaM9AJzFi+9lM3Bg1qmTXN56KW2VpsLC5BcmE+Risa0adPytyxfvHgxx44d48SJ\nE8yZM6dYgxPCFs2Z48xPP5m+7dUJCbh37456QRTdymxl1NI29OqVw6FD12nfvuBIwtUVhg3LYtYs\nl4dqTQlRXIpUNP755x8qVKiA0Wjkl19+YfTo0YwZM4bffvutuOMTRSD9WhNL5yI9HSZNcmHYMDd2\nx2nyz7tIa96OluwmuHsQO3ak8vzzOTg7F/4a/ftn06SJ/oHPz7jF0rmwJpIL8ynS6iknJycyMjJI\nTEykXLlyeHp6otfryc2VX0LCcSkK/PtKxD/+6ESzZnoiIrIZOMCNQ+3iyfhhLT3fa0LDR42MG5d5\nx3P+zc0NNm1KLb7AhXgIRSoaLVu25IMPPiAzM5MOHToAcPr0afz8/Io1OFE00q81KalcrF2rY9Ei\nZ77/Pq1AEVi82Jlhw7Jo00bPJ59m0fStGTTK0OPurjBlSsZ9C4Y5yefCRHJhPkUqGv379+e3335D\nq9VSr149ANRqNeHh4cUanBDWassWHdu3a1m7VkeXLnkj7uPH1Zw5oyYsLO921665pKRksnGjjnnz\n0tFoLBmxEOZR5CW3jRo1wt/fn/j4eC5fvkz16tXzC4iwLOnXmpRULvbu1fL++5m8954rWZl5K6PW\nzrrMCy9kF1jxFB6ew7Jl6bi6lkhYBcjnwkRyYT5FGmlcu3aNL774gvj4eDw8PEhNTaVmzZqMHDkS\nb2/v4o5RCKty7ZqKCxfUDB6czaltiWS0+h9lva6z+Wwnvt6UY+nwhChWRRppzJ07l8qVK7NgwQLm\nzJnDggULqFKlCnPnzi3u+EQRSL/WpCRysW+flkcb5+IWtZA5h1qwOCmMz5/bhnPdqlSvbiz2v19U\n8rkwkVyYT5GKxrFjx+jXrx8uNy8L5uLiQt++fTl+/HixBieENdq3V8XshGdwjooiY8Narr4yijff\n9aBfPznZVdi/IhUNd3d3zp8/X+C+xMRESpUqVSxBif9G+rUmJZGLn39xImnga6TG5F2r+7XXMunR\nI4dOnaxrCbp8LkwkF+ZTpDmNLl26MHHiREJCQihbtiz//PMP27dvp3fv3sUdnxAlKjUVUlLUVKpU\neJspOxv+/FNL1eWP5f/r8fSEOXPkmhfCMRT5GuGHDx8mLi6Oa9euUaZMGVq2bEn9+vWLO767kmuE\ni+Lw+ecuLFrkRFzcDTw8uOMMvn37NIwd68b27XLynbBNJXKN8NzcXA4fPsxff/1V4L+cHFkpIuzL\n/v0aNBqYONE1f88o7e7d+Y/v3aulWTPZeVY4riKvnvrrr78YOHAgkyZNYuDAgfz111/MmzevuOMT\nRSD9WpOHyYWiwK+/aolanEqZFQtwaR1Cbrt26Js1yz9m3z7bKRryuTCRXJhPkeY09u/fz/Tp03F3\ndwegUqVKBAUFMXz48GINTojicOWKimnTXPjgg8wC958+raaa5iyPvTOAWmXT6Jq7jfmvBuB281+J\nosAvv2iZPFnmL4TjKtJIo0yZMne0onJycihTpkyxBCX+G1mDblKUXHzyiQtffeXC338X/Pjv36dh\nSfZz5LZrh2bvRko1rcVHH7lya9bv5Ek1rq7KA1+zu6TJ58JEcmE+RRpptGnTho8//pgOHTrg4+PD\n5cuX2bRpE23atOHw4cP5x8m2IsLaxcerWbXKiU6dcti8WUf16qZzK349oOXqqC0MGZlXFCIjM+jU\nyYMDB7S89lomyclqmje3jdaUEMWlSEVj8+bNAKxevfqO+289BjBjxgwzhiaKKi4uTn5J3XS/XLz3\nnisjR2ZRpYqRBQucGTzYVDT279fSs6caMABQtqzCnj03WLNGx3vvuXH2rPqOlpY1k8+FieTCfIpU\nNKQYCHuwY4eW48c1LFyYjv7vBEbvCyI9HUqVyrt40smTGho0MBR4jkYDPXrk0q1bLlu3amna1HCX\nVxfCMRR5l1thveQXlMndcmEwwLvvuvLe/2XgsXQhFbqG0Kf6HnbtytuS9rfftNSubeDmTjl3UKvh\nySf1eHnZxnwGyOfidpIL8ynSSEMIW3b+vIpPPnGluvYsLy58GVVaKqlr11IutiGbN2vo0CGXX3/V\n0KSJzFcIcT8y0rADsgbd5PZcnDypZuhQN9q09qBjwlxWnm1G7hPt8veMCg3NZfNmLYqSN5/RtKl9\nFQ35XJhILsxHioawSydOqOnY0YPKlY0cOHCDZx89Tfr6tWSPHAnavAF2zZpG1Go4elR9s2jIfIUQ\n91Pkvaesjew9Je7mxg0IDfUkIiKL8PB7b3XzxhuuGI0qNm7U8ddf10v0Gt5CWEKJ7D1V3AwGA488\n8gidO3cG4OrVq4SGhlKzZk3CwsJISUmxcITCVhgMMGhQKdq2zb1vwQAIDc0lKsqJJk30UjCEKAKr\nKBrTpk2jTp06qG7+q42MjCQ0NJT4+Hjat29PZGSkhSO0bo7cr01Nhd9/1xAfr+Z8AqwM/Yoyl0/y\n0UdFO5+iVSs9ajV2OQnuyJ+Lf5NcmI/Fi8b58+fZsGEDr7zyCrc6ZdHR0YSHhwMQHh7OmjVrLBmi\nsGKTJ7vy4ovujO19hZSmPWlxdA2RkzLQ6Yr2fDc3GDgwmyeftK4LKAlhrSxeNEaPHs2UKVNQq02h\nJCcn4+fnB4Cfnx/JycmWCs8mOPIa9O3bNGx+7ku2pT3Go2+2IjAhBq+m1f/Ta3z0USZ16ljPtb3N\nxZE/F/8muTAfi56nsW7dOnx9fXnkkUfYvn17oceoVKr8tpUQt0tOgk9PdCfI5QKpa9diDA62dEhC\n2D2LFo09e/YQHR3Nhg0byMrK4saNG7z00kv4+fmRlJSEv78/Fy9exNfXt9DnR0REEBgYCICXlxf1\n69fP/0Vxq4fpCLdv79daQzwldXv79ooozd+k+aog4vbuhUJyYk3xlvTtP//8kyFDhlhNPJa8PXPm\nTIf+fliyZAkAgYGBhIWF8TCsZsntjh07+PTTT1m7di1jx47Fx8eHcePGERkZSUpKyh2T4bLk1sQe\nN2O7dEmFTgdlytz94zl0qBuNGxt4+WXTpoP2mIsHJbkwkVyY2MWS21tutaHGjx/P5s2bqVmzJlu3\nbmX8+PEWjsy62ds/huPH1bRr58kHH7ia7lQUuO33jaLA9u062rYtOIFtb7l4GJILE8mF+VhN0Wjb\nti3R0dEAeHt7ExsbS3x8PJs2baJ06dIWjk6UlMOHNTz7rAcDBmSzYYMOg4H8a3XrNm3KP+7ECTUa\njUL16vY3gS2ENbOaoiEenL2sQT9wQEOPHu5ERmbwxhtZ+PkauDjhWzxC8q7VnXvbkHrHDh1t2955\nQp695MIcJBcmkgvzkV1uhVXQ66FvX3emTcugQ4dc1AkJrE4bhXb5jUJXRm3frqV79/uf8S2EMC8Z\nadgBe+jX/vyzlvLljXTokAuKgltEBNqn29LOaTeGWgULhl4Pu3dradPmzrO47SEX5iK5MJFcmI+M\nNIRViI7W0bnzzUltlYq01avx1GjRxWr57TcNjzxi2oH24EENgYFGypWzioV/QjgUGWnYAVvq1xoL\nmbc2GmHdOic6d76t3aTVolLBM8/ksG5dwT1B8lZNFb5XlC3lorhJLkwkF+YjRUOUqPHjXZk0yXRN\nVXVCAge3p1O2rJEaNe6sKM88k8vatU75q23T02HdujuX2gohSoYUDTtgK/3a7GxYudKJuXOdSTwP\nTgsX4hESwtFvDtGlS+FF4JFHDGRmqjh+XE1ioopOnTyoV89Au3aFjzRsJRclQXJhIrkwH5nTECUm\nNlZH3boGwmqdgrAhOFe4zo3otUzu2Ywf3k0t9Dm3WlRTpriyd6+W//0vi+HDs+XaF0JYiIw07ICt\n9Gt/+MGJ98vP5O01LVmdGsa+qZvYl1YXDw+FWrXufpLes8/msHmzjilTMhgx4t4Fw1ZyURIkFyaS\nC/ORkYYoEWlpsGWLjnmDr5K2bi3qrQ2ZOElL9erGghPghWjWzMDx4ym4ut7zMCFECbCaDQv/K9mw\n0HpdvariwAENoaGmeYfvv3di5Uonli9PA/LmNx57zJOUFDUbNqRSt67hbi8nhDAju9qwUNiHCRNc\n6dPHnU2bTAPZH37Q0aOHaUTh7AzvvptJhQpG6tSRgiGErZCiYQesqV97+LCGmI1a9g74kln/i+fo\nUTVXr6r4+WcdTz9dsA313HO5bN9+w6yT2taUC0uTXJhILsxH5jSE2SgKfPXGJfaXfpWKB64zaEQr\nXnzRnZdeyiEkJBcPjzuf4+xc8nEKIR6cjDTsgFWsQVcUTo37lln7m+PTqzWpP/1Eh9HVeOaZXCZO\ndC3QmipOVpELKyG5MJFcmI+MNIRZuA4YiPNPifwcuZEWr9TIv/+99zKpVMlIaKicwS2EPZCRhh2w\nRL82Jwf69StFz57uDBnixhsp7zKq2U6av1yjwHEaDbz6anaJtaGkd20iuTCRXJiPjDQcSHy8mpo1\nzXOlux9+cOLKFRUjR2Zx+bKaK1dqM/XZHDlTWwg7J+dpOIgzZ9Q0aeLJ8ePX8fF5iP/LFQXFqNCq\nTWk++CCD9u0L3wNKCGGd5DwNUSR79mgxGlXExuruf/Bd3LpW9/GJP6JWK4SESMEQwtFI0bADRenX\n7tmj5ZFH9MTEFK1oZGTA8uVO9OrlzndRuvwdafVt2vD2oRcYNsw6Nw2U3rWJ5MJEcmE+MqfhIH7+\nWcvnn2cQHl6KnBxwcir8OL0e3nrLlZUrnWja1ECfliep/vpw0vyvoY+O5lBOPY7Pd6Z79+sl+waE\nEFZBioYduN8a9AsXVFy/rqJ1az01ahj5+WftXa98FxXlxB9/aImLu0GFCgqlnh/FpVda0mTV27z5\nWy5btuj43/+y0D14l6tYyXp8E8mFieTCfKRoOICff9bSooUetRo6dMglJqbwy6XeuAGRka6sWJFG\nhQp5k+XpS5ZQSq1mZb9MunXzICsLPv88vaTfghDCSsichh24X7/2VtGAvKLx0086Clsz9+mnroSF\n5dKgwW0bCKrzPiI1axpZsyaV6dMz8PQ0W+hmJ71rE8mFieTCfGSk4QD27NHx4ot5o4O6dQ3k5uZd\nPjU42HTOxvnd54mJ8mPtz3eZ7ACCgowEBZnnPA8hhG2SkYYduFe/9soVFefPq6lfP2/0oFJBhw45\nbNp0c1JCUXBauJDAHiFMeGo7fn42edpOPuldm0guTCQX5iNFw87t3avlscf0aG8bU4aF5c1rqBMS\ncOnanWtToujhvYUnpoZaLlAhhE2QomEH7tWv3bNHy+OPF5z0bt1aT5NDC9A0a8+nB8MY9dguPlxd\nGReX4o60+Env2kRyYSK5MB+Z07BzP/+s5eOPMwrc5+ICLZum87H3Jnr8XzWGVcu2UHRCCFsje0/Z\nsRs3oG7d0pw8mSIXOxJCALL3lLiHvXu1NGqkl4IhhDAbKRp2oLB+7eXLKsaPcyWy6ky0e/ZYICrL\nkN61ieTCRHJhPlI07FBWFrze8wo/KU/R/K+FGL29LR2SEMJOSNGwA7evQVeMCtGdlvDt0eZU7NeS\n1J9+whgcbMHoSpasxzeRXJhILsxHVk/ZmXPthtHqVDzZMT9ibFTb0uEIIeyMRUcaCQkJPPHEE9St\nW5d69erx5ZdfAnD16lVCQ0OpWbMmYWFhpKSkWDJMq3erX6soMDz5XdI2/YTOQQuG9K5NJBcmkgvz\nsWjR0Ol0TJ06lb/++ou9e/cyY8YMjh49SmRkJKGhocTHx9O+fXsiIyMtGabNOHlSzWmnWgTVlq6j\nEKJ4WPTbxd/fn0aNGgHg7u5O7dq1SUxMJDo6mvDwcADCw8NZs2aNJcO0TooChrz9pG71a+PitLRu\nnWuVV9QrKdK7NpFcmEguzMdqfpKeOXOGQ4cO0axZM5KTk/Hz8wPAz8+P5ORkC0dnXW5dq9tp8eIC\n9+/apaNVK7lutxCi+FjFRHhaWho9evRg2rRpeHh4FHhMpVKhustP54iICAIDAwHw8vKifv36t/3q\nzuth2tVtRSHk779x/egjjj7didNVq9Ly5mOKAtu2hTFhgt564rXA7Vv3WUs8lrz9559/MmTIEKuJ\nx5K3Z86caf/fD3e5HRcXx5IlSwAIDAwkLCyMh2HxbURyc3N55plnePrppxk1ahQAwcHBbN++HX9/\nfy5evMgTTzzBsWPHCjzP0bYR2bP0AlU/HgHXrtNXv5Ca3YKYOTNvT6m4uDi8vdvQt687Bw/esHCk\nlhUXFyetiJskFyaSCxOb3kZEURRefvll6tSpk18wALp06cKiRYsAWLRoEc8++6ylQrQKK1Y4kfva\nRJJqt+H0ks0s+jWAn37ScfFi3gisVatW0pq6Sb4YTCQXJpIL87Foe2r37t1ERUXRoEEDHnnkEQAm\nTZrE+PHj6dWrF/Pnz6dKlSqsWLHCkmFa1MaNOv7v/1xZs2UWwbVvDQoVnnsuh2++cebtt7OAvEnw\nrl1zLBeoEMIhWLRotGrVCqOx8MuHxsbGlnA0lnfqlJozZ9QEBRmpWNFIXJyWkSPdWL487baCkWfQ\noGw6dvRgzJgs9u2LY/fuTkyZknGXV3Yc0oYwkVyYSC7Mxyomwh3dhQsqPvnElfXrdTxR7RSnzjpx\nLK0SOp1CVFQ6jzxiuOM5NWoYadxYz8qVThiNXpQrp+Dvb5O73AshbIjVLLl1VFOnutC6tSelvYwc\nGz2N5aeas2NSLEePprBv3w1atrz7PMXgwdnMmuXCjRtNaN06twSjtl7ya9JEcmEiuTAfGWlY0Pr1\nOqKinNiz9DDVJ41AlZpKanQ0xtq18QA8PO49cmjbVo+iwKxZLnz0kbSmhBDFT0YaFvLPPypef92N\nH7vMpOaLIeS2bUtqTAzG2kXfM0qlgv/9L4uLF9Wycuom2WPIRHJhIrkwHxlpWICiwJgxbvTunUO1\nmur80cWD6NUrh7//PknZsoFmjlIIIe5k8ZP7HpQtn9y3bJkT06e7sHXrDbkUqxCiRD3syX0y0ihh\nSUkq3n3XlVWr0qRgCCFsjsxplARFwWnhQrSbNjF9ugvPPZdD/fp3LqN9UNKvNZFcmEguTCQX5iMj\njWKmTkjAbUTeyqjED2ewdKkTu3Y59v5QQgjbJSON4nJzdOERYloZNX1LQ7p2zaViRfNOI8kadBPJ\nhYnkwkRyYT4y0jCTjAz49VctzZrpcXYGt5Ej0Rw5kr8y6vp1FQsWOBMbm2rpUIUQ4oHJSMMMDAZ4\n9dVSjBzpRu3aXowY4cauNmO5sdF03sW8ec6EhuZSpUrhe209DOnXmkguTCQXJpIL85GiYQbvvutK\nWpqKX365wc6dN6hRw8Dwz+vQorU3Cxc6cfmyijlznBk1KsvSoQohxEOR8zQe0tw5Tiycp2H9pixK\nlzalUlHytiufNcuZbdt0hIXlsnBhugUjFUIIOU/Don5edoHm/zeSPsNCKFV6SIHHVCpo3VpP69Z6\nzp5V4+5uk7VZCCEKkPbUfRw+rOGjj1wK3nlzZdTjI9vh1rk1pca/es/XqFzZiI9P8RUN6deaSC5M\nJBcmkgvzkaJxHzNmOPPVVy6kpeXdVick4N69O9pFUYRqt+E3dQRoZcAmhHAMUjTu4do1FRs36qhT\nx8C2bToAXD77jNy2bVk+YgsezWvh7m7hIJE16LeTXJhILkwkF+YjP5HvYcUKJ0JD9TRvrmfDBh2d\nO+eSMXUqqFT8NMyVsDC58JEQwrHISOM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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 5
},
{
"cell_type": "markdown",
@@ -179,7 +436,17 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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ZGQCAjIwMbN261Z3LJHQjSExDwBFZ8ErD19e2e0qlohEayiImhnEqrmGcchsQ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\ngg==\n",
+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 6
},
{
"cell_type": "code",
@@ -189,7 +456,17 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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QoaGhPAnNjwhv1KgRs2fPpmLFiowePZq0tDQAfHx8GD58OBERESQlJd01ApEj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\nsQAAAABJRU5ErkJggg==\n",
+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 7
},
{
"cell_type": "markdown",
@@ -216,7 +493,17 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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c5cuXo9PpAAgJCWHKlCldPbIrr6iynUFGRoaq8lyRn5/PJxciWJoerXieHrOD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\nycyrB6t4bGaMFHqhmMypkVR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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 8
},
{
"cell_type": "markdown",
@@ -244,7 +531,17 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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uE0UBFOYpqPf392PXrl0AgFQqha1bt+LSpUsAgD/8wz/EX/7lX/r+wKmyFswP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\nnRBC4gh16oQQEkf+Hy3rIfG15F58AAAAAElFTkSuQmCC\n",
+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 9
},
{
"cell_type": "markdown",
@@ -331,7 +628,17 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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ll+vZ90UO9zy6YJzTCdbG2Llx9O4iZWRkEBUVRVhYGEqlkrVr17Jz584By/j4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\nPWVMC70MuPEOceSNYHlzr40keqofH/7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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 10
},
{
"cell_type": "markdown",
@@ -369,7 +676,17 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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IPe7XUfTXK5WsTMhmzal8Ppzi36zRAxQfOoWlmzPWPh560dfH0YblM/pwvqCc\nd3amUVXXNJd8g/7aWgW/rT1FVto17lscrhejBzC1s8EhMpT82P3NHu8V5Mw9T4RxLD6duK3nUd7y\nHKKjzJ3OgjB7geSpUdSzbM8VzuSV8+n03nh3s2qxbe5vu3CZPkaP6qCrlRn/N7EnNhYmvPhHCsWV\ntU2OV5TXsH7lUUxMZMx9ZIhGyynbg8v0MeT9trvF490dbbl30TDys0r5/edT1NUq9KhOoC1EzF4g\naarq6nlrRypWpnJeGe2DhYqVKvV1dcT1n0547EqsvVz1J/J/KJVKfjiey97UEpZN9sfJ1pyy61X8\nsvIoPQOdGBnVW+WmKF1RV1bOnpCZ3HV0Y5NQzh3t6uqJWZ9IRVkNsx4YhLkRp47oDLQ1Zi/u7AWS\npaJGwT9iL9PdypTXxvqqNHqAa/HHsfZ2M4jRA8hkMh4KdWNKgAMv/JHCpaxSfv42gaAQN+6a2Mcg\nRg9gamuDw8gh5MfsU93OVM6U+QPo6mDNhv8eo7qqVmV7gXEhzF5DpB73k6r+ihoFr8ZexqyqmBfu\n8lb54LOBhopUhmZuf2dm+Nqz7tsEzBwUDBtlmFz6t+IyTXUopwG5XEbUzL44uXXhu0/jJG34Up37\n7UWYvUByVNXV88b2VLy7WTLFuQa5Grno62vryI/dh8s0w5t92fUqiven4jnAlT9kXSgsrzG0JBzH\nD6fk2BlqrpW22lYmlzF2WiC2XU3Y9MNxampE1SspIMxeQ6SeNU9q+msU9byzMxVHWzOejfAkMlI9\n/Vf3H8PGzxMrDxcdK1RNRXkN6787RvBgdx6Y3Y95IR68vPUSxRWGvUM2tbHGYeQQCmJVh3IakMlk\n3Pf4GLo62LD5xxOSfGgrtbmvKcLsBZKhXqnkg71XsDCR88JIb7Xu6BvIi96ptfQI7aWmpo5NPxzH\nP9CJof8L3czr78wov268tv0ylQY2TJfpY8n9bZfa7WVyGRNm98PS2pyYDWeaLMsUGB/C7DVE6nE/\nKen/9kg2Vytq+fton8YYvTr662tqKdi2H5epo3WssGUUinp+X3uaHs62RET1anw/Pj6e+we54NvN\niqVx6Wrl09EVjuOGU3r8HDVXS9RqHx8fj1wuY/K8YMquV7F/+0UdK9QuUpr72qBVs4+NjSUgIIBe\nvXqxbNmyO46fP3+e8PBwLC0t+eijj5oc8/HxoX///oSEhBAWFqY91YJOx6azBRzLvsHb4/0wb2Mi\nsKK9Cdh07Y4iAAAgAElEQVT28cPSzUlH6lSjVCrZGZ0EwPiZfe+odyuTyXg2wpPqunq+PpzVagIy\nXWFqY0WPUUPJVzOU09jPzIQZ9w0i5Vw+p49k6EidQFNUfmoUCgVPP/00sbGxJCUlsXbtWpKTk5u0\ncXBw4PPPP+eFF164o79MJmPPnj2cPHmShIQE7So3EqQe95OC/oTMUn5JzOdfE3reURZQHf03i4ob\n7sHs8QNXyMsuZdqCAZiYNP3INeg3M5Hz+lhfTuWW8eu5QkPIBBo2WKkXyrn12lvbmDP7ocEc3H2Z\n1AuG098WpDD3tYlKs09ISMDf3x8fHx/MzMxYsGAB0dHRTdo4OjoSGhqKmZlZs2MYeM+WQOJklFTx\nwd4MXh/ji5Nt27MvKqqqKdhxAOepo7QvTg3SLhZydH8aM+9rfROSrYUp70b1ZH1iAfHp6oVStI3j\n2OGUnkiipqi4zX27Odgw4y8DiVmfSH7OdR2oE2iCSrPPzs7G0/PP5EceHh5kZ2erPbhMJmPcuHGE\nhoby7bfftl+lESP1uJ8x679RXcdbO1J5dIgbfV2aL5vXmv6rexOwC/LH0sVRFxJVcq2onJj1Z5h2\nz0DsW0jhcLt+Zztz3o7y49P4TC4WVehDZhNMrC3pMWYY+TF7W23b3LV38+rGuBl92bzqBGXXq3Qh\nUWsY89zXBSpvNW6PLbaVAwcO4OrqSmFhIePHjycgIIDIyMg72i1evBgvr5u5xe3t7QkODm78E6vh\nF2Ksr8+cOWNUejqK/vDhI/i/3em4y8uwLbwGfdqnP/HbtZj09aEBfekPHTyUX388joufjPSsc3j4\ntE3/MyP68s+dadzvWoy1iX6vf10vN2p/243n/TPbPV5wqAdbfj6NW0ANcrnM4POpI7yOj49nzZo1\nAHh5eREVFUVbUJkb5/Dhw7z11lvExsYCsHTpUuRyOS+//PIdbd9++21sbW15/vnnmx2rpeMiN46g\nOb4+nEV6cRX/mtBTrd2xzaGorCZuwDQiD/yMhWN3LStsmfp6JZt+OE73HjaMmRbY7nG+OZJN6rVK\nja5Be1BUVN28bgfXtfu6KeuV/LrqBF0drBkztf3XQNAyWs2NExoaSkpKCunp6dTU1LBu3TqmT5/e\nbNvbvzMqKiq4ceMGAOXl5Wzfvp3g4GC1hQk6LztTrnEk4zr/GOOjkckVxR2mS/8+ejV6gP3bL1Jf\nr2TU5D4ajfPoEDcU9Up+PJGrJWXqYWJtSY+x4eRvbT2U0xIyuYzJd/fn8vkCkk/naFGdoL2oNHtT\nU1OWL1/OhAkTCAoKYv78+QQGBrJixQpWrLhZ/CEvLw9PT08++eQT3n33Xby8vCgrKyMvL4/IyEgG\nDhzI0KFDmTp1apv/7JACUo/7GZv+K8WVrDiSzRvjfO9YedMcqvTnGmAj1eXzBZw/ncvUBQOQm7S+\nRFSVfhO5jFfH+LAz5RoHr+j3ga3r9LGtrsppbe5YWpkx4y8h7P49mcK8G9qUpxWMbe7rmlY/TZMm\nTWLSpElN3lu4cGHj/11cXMjMzLyjn62tLadOndKCREFnobJWwbu70nkszA3f7i3npFcHRUUVRbsP\nE/Svv2lJXeuUFleybeNZZtwXgrWNduq2drMy47WxvjdzAXW1xN3eUivjtkaP0cM489y/qC68ptFf\nRk6uXRg9JZDo1Se5/6lwLCybX7Un0D1iB62GSH2trjHpX34wi16O1kT1Ut9cWtJfuOsg9oOCMO/R\nfMUqbaOoq2fLz6cIjfTF3Vv9c6pz/QOdbHhwsCtvN1PpSleYWFngOG44+X/sabGNunMnKMQN3149\niFl/xqiWYhvT3NcHwuwFRsG2i1e5WFjBM8M9NF4FBpAbvUuvIZx92y9iZWPOkAgfnYw/JcABv+5W\nrDicpZPxm6O1ClZtYdTkAG5cr+LkYbHD1lAIs9cQqcf9jEF/2rVK/pOQw2tjfbAyM2lT3+b015VX\ncHVvAs6T7tKWRJVcSson5Wwek+YGt7kAibrXXyaT8cwIT07m3GB/mn7i9z1GDeX6uRSqC642e7wt\nc8fEVM7UBQM4tOsSBbnGseHKGOa+PhFmLzAoN+P0aTwe5qaydmxbKNxxkK6hwZh3t9fKeKooLa5g\n+6/nmLpgIFbW2onTt4SNuQmvjPLhswOZ5N/QfQ58E0sLHMeFk7dlj1bG6+Zgw+gpgWz5+bTIgW8A\nhNlriNTjfobW//XhbPo42RDV26Fd/ZvTn/e7fipS1Svq2fpLIqGRvrh5dW3XGG29/gFONszr78R7\ne/STIVPVqpz2zJ2gEDdcPOyJ23JeU2kaY+i5r2+E2QsMRnx6CadybvBUuIfWxqwrK+fqvqM4Txqp\ntTFb4sjeNExM5DqL07fE3GAnLEzlrD6Zp/NzOdwVxo3ky1TlF2ltzHHTg8hMu8b5RP3uH+jsCLPX\nEKnH/Qyl/2p5LZ8fyOSlUd7YmLctTn8rt+sv2H6AbkMHYNa1i6YSVZKbWcLJQ1eYNK+/RoXC23P9\n5TIZL93lzdYLRSTm6nb9uomlBU7jR5DfTCinvXPH3MKUqQsGsOv3ZEqL9Z//pwGpf3bbijB7gd6p\nVyr5cN8VpgT0oK9z8wnO2kveb7pfhVNTXccfvyQydnoQdnpa93473a3NeD7Sm2V7rlBWrdv4t8v0\nseT9rn4FK7XGdLcnbKQvW39JpF5UuNILwuw1ROpxP0Pojz5XSEWtgr+EaF4P9lb9tdfLuHbgBE4T\ndPszxf1xHnfvbvQJ1q7+tjLEswvDvOz58pBul2P2uGsIZedTqcptmqde07kTOsIHuVzOsfg0jcZp\nL1L/7LYVYfYCvZJ2rZI1p/J5eZRmeW+aoyBmH91HDMLM3k6r495Kyrl8MlKvMlaDBGfa5LEwN5IK\nKojX4XJMuYU5jlGR5P0Rp9VxZXIZE+f24+i+NKNMp9DREGavIVKP++lTf42invfi0nk8zA23LhZa\nGfNW/bmbd+A6c7xWxm2OsutV7Ig+x5S7+7daiERdNL3+VmYmvHSXN58fzKS4olYrmprDtZkNVtqY\nO/bdrBk5qQ9b1yei0NPu4Aak/tltK8LsBXpj9Yk8XLtYML4N6RDUpaaomJJjZ3EcP0LrY8PNrK47\nNp+jf6gHbl76ScGgLkHONkzs7cAn8Rk6S0fgMHII5RfTqMop0PrY/Qa506WrFQd3X9L62II/EWav\nIVKP++lL/4XCcmIvXuXZEZ5aSYfQQIP+vC1x9BgbjqmNdjZm3U7SqRyul1QRPsZfq+Nq6/rfN8iF\ngrJatqdc08p4tyM3N8NpQiR5W/4M5WhLu0wmI2pmX84cyyIno+3lENuL1D+7bUWYvUDn1NTV88He\nDJ4c5kE3a91kPczdvBO3WboJ4dworWLP1gtMnBuMialxfmTMTOS8PMqb/yTkkHejWifncFEj7XF7\nsbGzYNz0ILauPyN21+oI45y5EkLqcT996P/xRC5eXS25y699u0xVER8fT1VOAWUXUukxaqjWx1cq\nlWzffI6BQz1xdtP+2n1tXn/f7lbMC3biw70Z1OsgnOMQGUr55Qwqs/MB7c+d3v1ccPPqyr6Yi1od\ntyWk/tltK8LsBToluaCcHSnXeGaEdrJZNkfub7twmjgSuYX2c9OcO5FN+fUqho3qqfWxdcGcYCcU\nSiWbzxW23riNyM3NcJo4Umd39wBjpgZy+XwB6Sna27EruIkwew2RetxPl/qr6+r5YO8Vngr3oJuV\nbsI3ERER5G3eievMcVof+0ZpFXtjL+o0fKPt628il/HiXd6sPZXPleJKrY4N4DprPLm/7gB0M3cs\nrcyYOKcf2zadpapSd6uLQPqf3bYizF6gM344nktPBytG+ulu9Up5WhaVWXl0H6HdovVKpZJtm84y\nKNwbJ1fdpl7QNm5dLHgo1JX3916hTsu7Ux1GDKI6/yplKelaHfdWvP174B/kxK7fk3R2js6IMHsN\nkXrcT1f6z+WVsfvSNZ4e7qmT8Rs48tlKXKaNQW6qnXXvDZw5lkVleQ1hd/lqddzb0dX1n9zHAXtL\nU9adztfquDITE1xmjiV30w6dzv2RE/qQl1lKyjnt6r8VqX9224owe4HWqaqr58N9GTw9whN7S+2a\n8O3UHTit9RDO9ZJK9m/7X/hGjaLhxohMJuOvkV5sPlfI5avaTTbmNiuKnE3bdFpi0MzchIlzg9n5\nWxIV5brP3d8ZkOZMNiKkHvfThf7/Hsuht6M1ET7aX31zKzeSL2OuUNJ1SLDWxmwI34RG+ODooru0\nCw3ocv442pjzWJgbH+7L0Go4p8uAAGSmpgRb63Zzmbt3NwIGuLLrN92Ec6T+2W0rwuwFWiUxt4x9\nqSVazVHfErnRO3GZPhaZXHvTODEhk+qqOoZE6jZ8oy+ienXHwdqMtae0l/teJpPhNjuKnI3btTZm\nS0SM70Vh7g0unNF97v6OjjB7DZF63E+b+itrFXy8/wpLRnjSRcfhG6VSSe6vO8j37aG1MUuLK4jf\nkcLEOcHI9RS+0fX8kclkPBfhyW9JRVwq0l44x3V2FJkbY6mv0+0GKDOzm+Gc3VuSKS/T7mYxqX92\n24owe4HW+O5oLkFONoR76772a0lCIiYWFsh93bUynrJeybaNZxky0pceWs6xb2h62JizcKg7H+y9\nQq1CO8nGbHw9kDl15+q+Y1oZTxVuXl0JCnFjZ3SSTp8TdHSE2WuI1ON+2tJ/OucGB9JLeFIP4RuA\n7A2xuM2bSGRkpFbGO5WQSW2tgtAI/YZv9DV/xvp3w8XOQqulDHs/OJvcTdu0Np4qRoz152pBmVbD\nOVL/7LYVYfYCjamsVfDR/gyejfDETkupf1WhqKomf0scbnMmaGW8kmsVHNyZwqS5wci1nGPfWJDJ\nZCyJ8GTr+atcLNROOMd1xjgKth+grlz7m7dux9TMhElzg9n9ezLlOsr909ERZq8hUo/7aUP/twk5\nDHC1ZaiX7sM3AIXbD9ClX28s3Zw01q+sVxK74QxDR/nR3VH/4Rt9zh8HazMWDXPng31XqNFCOOfo\nhSS6Du5L4Q79/Ayunl0JDvXQWjhH6p/dtiLMXqARJ7NvcCSjlIVDtRM7V4fs9TG4zZuklbFOHr6Z\nA37QcB+tjGfsjO7ZDY8uFvx0QjvhEFc9rcppIHysP9eKyjl/Oldv5+wotGr2sbGxBAQE0KtXL5Yt\nW3bH8fPnzxMeHo6lpSUfffRRm/p2BKQe99NEf3mNgo/3Z/BchBe2egjfAFQXXqP4yGmcp9wFaKa/\n+Go5h3ZfYsIcw4Vv9D1/ZDIZS0Z4su3iVc4XlGs0VkREBM6TRlJ8+BQ1V3VXFvFWTE3lTJoXTNwf\n5ym7XqXRWFL/7LYVlWavUCh4+umniY2NJSkpibVr15KcnNykjYODA59//jkvvPBCm/sKpM23CdkM\ncrdjiKf+csfkbt6BU1QEpjbWGo1T/7/wzbDRPenew0ZL6qRBN2szFod78MHeK9RoWArQ1NYGx3HD\nG5Oj6QMXd3v6h3myY/M5sTqnDag0+4SEBPz9/fHx8cHMzIwFCxYQHR3dpI2joyOhoaGYmZm1uW9H\nQOpxv/bqP5Z1nWNZ13lCj+EbgJz1sbjd/WcIp736Txy8gkwmY1C4t7aktQtDzZ+7/Lrh092KH463\nPxzSoN39nqlkr/tDW9LUInx0T66XVJF0MqfdY0j9s9tWVJp9dnY2np5/JrLy8PAgOztbrYE16Ssw\nbsprFHyyP4O/RnhhY26it/PeOJ9KdeE1HDTMcHmtqJwjey4zcU4wsg66+kYdnhnuwa5L10jK1yyc\n4xAxmJprpVw/q5+iIwAmpnImzg1mT8wFbpRqFs7pLKgMtGpSbKItfRcvXoyXlxcA9vb2BAcHN8bT\nGr59jfV1w3vGokcf+n/LNSfM04XBHl30qjdnQyz1YX05cOhQu/Xv37+fc4cqCR/bh64O1pK8/tp6\n3dXKjLHdyvjntvN8f28IFqbyNvWPiIj48+5+/hSyf/6DxIkFetPv7NYFBzdY991+Hn1uHDKZrN36\njeXzqOp1fHw8a9asAcDLy4uoqCjagkypIuh1+PBh3nrrLWJjYwFYunQpcrmcl19++Y62b7/9Nra2\ntjz//PNt6rtr1y4GDdJuLnKB7jicUcqXh7L4elYA1nq8q1cqFOwJnU3omo+xC2x/1agje1O5klLE\nvEeGdOq7+lv5v91pOFibsXBY+zfEVVzJ4dCkxxh9crNOKoa1hEJRz+ovDxEy3JvgwfrZ0GcsnDhx\ngrFjx6rdXmUYJzQ0lJSUFNLT06mpqWHdunVMnz692ba3f2e0pa+UkXrcry36r1fV8Wl8Ji+M9NKr\n0QNcPXACC8fudxh9W/QX5t3g2P40JhhR+MYY5s9Twz2JSy3mbF5Zm/rdqt3a2w27QD8Ktuv35zEx\nkTNpbn/2xVzgeknbNncZw7XXJyrN3tTUlOXLlzNhwgSCgoKYP38+gYGBrFixghUrVgCQl5eHp6cn\nn3zyCe+++y5eXl6UlZW12FcgXb44lMVIv670d9V96t/byV73B27zJra7v0JRT8yGM4yc2Af7blZa\nVCZ97C1NeXq4Jx/uy6BKg9U5HvdMJWutfh/UAji62jFouA/bfxWrc1ShMoyjD0QYRxrsSyvm+2O5\nfDUrAAsd1WNtiZri6+wbOpeRh9dj3r19u3QP7rpEblYpsx8YpLPC51Lnvbh07C1N253fSFFRxZ5B\nMxgR9xOWro5aVtfKuRX1rPn6MAPCPOk/RLfV0YwFrYZxBAKA4spavjiYxYt3eevd6AFy1sfgOH54\nu40+P7uUU4czmDCrrzB6FSwO92BfWgmJuTfa1d/E2hLnaWPIXh+jZWVqnNtEzsQ5wezfdpFSHRRa\n7wgIs9cQqcf9WtOvVCr5ND6TqN4OBDrpf/ORUqkkc1U0nvfNaPZ4a/rr6urZuv4Mo6YEYNvFUhcS\nNcKY5k8XS1OWjPDko30ZVNYqWm3fnHaPe6aSvXaLQcIpji52hEb6sm3TWbXOb0zXXh8IsxeoZNel\nYnKuV3P/IBeDnL8kIRGU9XQbNrBd/Q/uTKG7ow2BA1y1rKxjEu5tT18XW1Yebd9mJfuQIGSmpjd/\nbwZgSIQPNdV1nE7INMj5jRlh9hoi9fwaqvQXldew4kg2L93ljbmBCm9nrorG474ZLYZfVOnPySjm\n3Mkcxs0IMtrwjTHOnyeHuXMwvZSTOarDOc1pl8lk/3tQu0VX8lQi/18458COFEquqU7lbIzXXpcI\nsxc0i1Kp5OP9GcwI6oF/D83y0LSXmuLrFGyPx/3uyW3uW1ujIGb9GcZOC8TG1kIH6joudhamPBfp\nycf7MqioaT2ccztu8yaSH7OPuhua7cxtLz2cbRky0u9mOEeLhdaljjB7DZF63K8l/TEXrlJaVceC\ngYYJ3wDkbIzFcZzqB7Mt6d+/7SIunvb07mc4/epgrPMnzNOegW62fJPQcoqTlrRbOHbHIWIwORv1\nU8WqOUIjfKirVXDycEaLbYz12usKYfaCO8gureK/x3J56S5vTA20+UipVJL1Y8sPZlWRdrGQlKR8\nxk4L0oGyzsOiYR4cz7rBoSulbe7r9dBsMn741WDr3uVyGZPn9efQ7ksU5bdts1hHRZi9hkg97ne7\n/rp6Je/tucL9g1zwNuDmo5KjZ6hXKOgWrvrB7O36K8pr2LbpLJPmBmNpZdZCL+PBmOePjbkJL43y\n5tP4DIorau84rkp79xGDqK+uoeToGV1KVEm3HjZETujN1l9Oo2hms5gxX3tdIMxe0ITVJ/PoYmHK\ntMAeBtVxc7nl9DY9WFUqlez49RwBA1zx6umgQ3Wdh2AXWyb0duDj/RltukuXyeV4PjCTjB826VBd\n6wSHetClqxUHdqYYVIcxIMxeQ6Qe97tV/7n8MmLOF/H8SC+Drl6pLblOwbb9aj2YvVX/2ePZlBRX\nEDG+ty7laRUpzJ/7B7tSXFnHluSiJu+3pt19/hQKdxykpqhYl/JUIpPJiJrVj6RTOWSkXm1yTArX\nXpsIsxcAN3PUv7/nCs9GeNHd2rDhj+z1MTiODcfcoavafYqvlrMv9gJT7u6PqQF2+XZkTOUyXh7l\nzY8n8sgoUT93vHm3LjhPGmmwZZgNWNuaEzWrHzEbzlBVeWc4qrMgPhUaIvW4X4P+rw5lEeJuR7h3\n+1ISaAulQkHGyg14PTpXrfYRERHUK+rZ+ksi4WN60sNZ/0naNEEq88ezqyUPDnblvbh0ahU349/q\naPd6ZC4Z32+ivq5O1xJV4tfHEf8AJ3b9ltT4nlSuvbYQZi9gb2ox5/LLWajnEoPNUbjrMGZdu9B1\ncD+1+xzcfRkLS1NChhm2xGBHZ0qAAz1szNpUytB+QACW7s4UxOzToTL1GDmpD/k51zl3snNWzBNm\nryFSj/v9tvsAyw9m8eoYH6zM9Jujvjmu/OcXvB+bp/Yzgz827+HMsSwmze1vNDnq24KU5o9MJuP5\nkd7svlzMsazramv3eexurqxcr2N1rWNmZsK0BQPZ88d5rhWVS+raawNh9p2YWkU9m3IsuHegM70M\ntEv2Vm6cT6XsQhou09VL21p+o5pLp6uZPC8YGzuxS1Yf2Fua8soobz7ce4Ubtep9uTpNGkllRi7X\nz1zQsbrWcXS1Y8T4Xvy+9hT1is61u1aYvYZIOe638mgO3s7dmdlXv7nHWyLjuw14PjATuXnrD4iV\n9UpiNiQyKNwXb3/DLhPVBCnOn/6udkwJ7MHuCicUaqQjkJuZ4vXwbNK/NfzdPcCAME+6OVhTU9q5\nlucKs++kHM4oJT69hOcjDbvMsoHqwmvkRu/C84GZarVP2J9GbY2CEWP9daxM0Bz3/i+NxtrT+Wq1\n9/jLDAq376cqr1CXstSiYTlm2oVCLp7NM7QcvSHMXkOkGPcrLK/hk/0Z/H2UD4nHDhtaDgAZ/92E\ny/QxWDh2b7Vt9pVijsenM2X+AA4eOqgHdbpDivMHwEQuY4x1Ab8nFZKY23o6AvPu9rjOnsCV/xjH\n3b2llRmegbAjOonSYtXZMTsKwuw7GYp6JUvj0pnZ15G+LraGlgNAXXklmT9swnfRPa22rayo4Y91\np4ma3Y8uXUUtWUNiZ6bk+ZFevLcnnRI11q/7LFxA1prfDZYN83Zsu5oQNtKXLT83n06hoyHMXkOk\nFnNdeTQHS1M58wc4A8ahP/vnP+g2dAA2Pb1UtlPWK9n6SyK9+jrjH+gEGId+TZCy/oiICMI87Rnb\nsxtL4660Gr+39nbDITKUzJ+i9aRQNREREYSO8MHKxpw9MecNLUfnCLPvROxLLWZ/WgmvjPJBbgRx\neoD6ujrSV/yMz+J7W217cPclamsUjJzYRw/KBOryUKgbSpRqrb/3XfwXrnz7C/W1ht1k1YDsf9kx\n0y4UkXSqfdW5pIIwew2RSsz1SnElnx/M4o1xvnSxNG1839D6837bjaWrI91Cg1W2u3y+gDPHsph2\nz0BMbqmaZWj9miJl/Q3aTeQyXh3tw+7L1ziQXqKyj/2AAGx6epGzIVYPClXToN/SyowZfwkhbksy\nhe0sti4FhNl3AsprFLy9M43Hw9yMYj19A8r6ei5/8j09//qQynYlVyuI3XiWafcMFOvpjZSuVma8\nNsaXf8dnktlK/hy/5x4i9bMfDZ5C4VYcXe0YPTWQ6NUnO2z+HGH2GmLsMVelUsmHe68wwNWWqN53\nris2pP78LXswtbPB4a6wFtvU1iiIXnOS8DE9cffudsdxY7/+rSFl/bdrD3Cy4aFQV97ZmUZlbcvl\nDLsPD8HC2YG8zTt1LVElt+sPGuiGb58ebF2f2CHLGQqz7+D8kljA1Ypangz3MLSUJijr67n875t3\n9S2t81cqleyIPoejsx0hw1Q/vBUYB5P7OBDgZM3H+1rOfy+Tyej514e5/OkPKBVtr3GrS0ZNCqC6\nspZDcZcNLUXrCLPXEGOOuR66Usrmc4W8NtYXc5Pmf9WG0l+wbT8yUxMcxw1vsc3R/ekU5Zcxfmbf\nFr8QjPn6q4OU9TenXSaT8cxwT/LKalhzquUNVw4jh2BqZ0velj06VKia5vSbmMqZds9AzhzL6nAb\nroTZd1AuX63g4/0ZvDHOFydbc0PLaYKyvp5LH6yk598ebtHEU5LyOXEwnVn3D8LM3PAJ2gTqY24q\n563xfmw9X8S+1OYLl8hkMvxfeJRLH640urt72y6WzLwvhB2bz5GX3fb6u8aKMHsNMcaY67WKWt7c\nkcpT4R4EOtmobGsI/bnRO5FbWuA0IbLZ4/k519n+6zlm3jcIO3tLlWMZ4/VvC1LWr0q7g7UZ70T5\n8fnBLC4UNr+JqsfooZg72JO93jArc1Tpd3a3Z/zMvkT/dJIbpeoXbDFmWjX72NhYAgIC6NWrF8uW\nLWu2zZIlS+jVqxcDBgzg5MmTje/7+PjQv39/QkJCCAtr+SGcQHtU19Xz5o5UJvR2YFTPOx9oGpr6\n2jouLfuW3q8ubPauvux6FZtXnWDc9CBcPAxbSEWgGT0drPlrpCdv70ijoKzmjuMymYzef1/EpQ9X\nUl9953FD07ufCwOHebF51Qlqaoxn5VB7UWn2CoWCp59+mtjYWJKSkli7di3JyclN2mzdupVLly6R\nkpLCN998w5NPPtl4TCaTsWfPHk6ePElCQoJufgIDY0wxV6VSyYf7ruDWxYL7QlzU6qNv/dk/b8HK\nyw2HiNA7jtXWKPh11QkGhHnSJ9g49WsbKetXR/tw767M7OfImztSm12h023oAOz6+JK5Sv+7atXR\nHzbSFwdnW2LWn5H8Ch2VZp+QkIC/vz8+Pj6YmZmxYMECoqOb/lJ+++03HnzwQQCGDh1KSUkJ+fl/\nPphpS0V6gWb8eCKP/Bs1/M1IMlneTl15JZc+/i+9/77wjmP19Uq2rk/EwdGWoaP8DKBOoCvmBTvh\n72DF0rj0ZlMq9Pr7QlI/+5G6MuPImXMrDRkyK8pq2Lf9oqHlaIRKs8/OzsbT07PxtYeHB9nZ2Wq3\nkTAc3tsAABwGSURBVMlkjBs3jtDQUL799ltt6jYajCXm+ltSIXGXi3l7vB8WbSi4rU/96V+toVtY\nf+xDgpq8r1Qq2fVbElWVtUTNannlTXMYy/VvL1LWr652mUzGkhGe1CqUfBqfeccNYJd+vXEYOYTU\nz1bpQmaLqKvf1FTOjPtCuJxcwLH4dN2K0iEqXUHdD11Ld+/x8fGcPHmSmJgYvvjiC/bv3992hYJW\n2XO5mJ9P5bN0Uk+6Wbde+MMQVOUUcGXlevq8tviOYwd3XSI3q5SZ9w3C1AhKIwq0j5mJnDfG+ZJW\nXMl/j92ZQ6f3q4vIXLWZigz169vqE2sbc+Y+HMrxA+kknZRmDh1TVQfd3d3JzMxsfJ2ZmYmHh4fK\nNllZWbi73yxc7ebmBoCjoyOzZs0iISGByMg7V2AsXrwYL6+bm2bs7e0JDg5u/NZtiKsZ6+uvvvrK\noHp/2HaQzTmWfDQ9EFc7C6PV3+Xn3Xg+MJPjVy7DlcuNxzf8tJu89FoefnYUFpamRqu/o84fTV7f\nGvNWp72VmQnT7Av5PrkMe0tT5gQ7NTnu/eg8Dj73DpZ/+4tR6u/S1Qrf/nJ2RJ/B0toMvz6Oer/e\na9asAcDLy4uoqCjagkypIqheV1dHnz592LVrF25uboSFhbF27VoCAwMb22zdupXly5ezdetWDh8+\nzHPPPcfhw4epqKhAoVBgZ2dHeXk5UVFRvPnmm3cI3LVrF4MGDWqTaGMiPj7eYH+KXygs57Vtqbwx\nzpfgduam14f+khNJnHz4FSIPrMXU9s+loOcTc9mz9TwLnhhK1+7ty9ljyOuvDaSsv73aC8pq+Ovv\nF3k41I1xvf4sVlNXXkl85D0M+PoduoX116bUZmmv/pyMEn5ddYKZ94U0m8JDX5w4cYKxY9Wr1wyt\nhHFMTU1Zvnw5EyZMICgoiPnz5xMYGMiKFStYsWIFAJMnT8bPzw9/f38WLlzIl19+CUBeXh6RkZEM\nHDiQoUOHMnXq1DZ/E0kBQ31QM0qqeHN7Kn+L9Gq30YPu9SsVCpJe+ZDery5qYvTpKUXs/j2ZOQ+G\nttvoQdoxb5C2/vZqd7I15/8m9uTbhGwOZ/y5acnUxoo+bzzFuZc/0EsK5Pbqd/PqyuR5wUT/dJLC\nPOlkyVR5Z68PpH5nbwgySqp4eeslHh3S9M7IGLmycgN5W+II27S88RlQekoRf6w7zYz7BuHhY3x7\nAQT6IbmgnDe2p/LiXV6Eed7cU6FUKjk2/zl6jB6K75Ot1zgwJOdP5xK39TxzHw7F0cVO7+fX6p29\noHX0vU46o/im0T8yxFUrRq9L/VX5RVz66Dv6LnuxqdH/kqg1o5fyOnWQtn5NtQc62fBOlB8f7M3g\nyP/u8GUyGUHvvUDq56uozFavmHl70VR/wABXRk8OYMN/j0niDl+YvYS4UlzJyzE37+jH97ozXbGx\ncf6NT/G8bzq2vX0ASLtYyB+/JDLzvhBxRy8A/jT8D/dlNIZ0bPw88Xp4Dsn/+Njo9+kEDHBl9JT/\nGb6RFz4RYRyJkF5cySsxl3hsiLvRh24A8rbEcXHpCkbs+B4Ta0vSLhaydf0Zgz/UEhgn5wvKef1/\nz6DCve2pr67h4PiH8fvrg7jNMv5nfecTc9m9JZm5D4fi5NpFL+cUYZwOyOWrFbwSc4nHw6Rh9DVF\nxSS/+jHBn/4DE2tLLicXCKMXqCTAyYZ3J/jx8f4M4tNKkFuYE/zpPzj/+qdU5RcZWl6rBPR3Zey0\nIDb89xh5WcaZKVOYvYboOuZ6MucGr8RcZnG4B2P9tW/0utCf9PePcJs7kW6hwSQezWT75nPMfmCQ\nToxeyjFvkLZ+bWvv42jD0ok9+eJQFr8lFWIfEoTHfdNJeul9nYRztK4/2IWomX3Z+MNx0i4WanVs\nbSDM3oiJu1zM/+1O57UxPoz0lcYdcfb6GG6cT6Xni49yaPcljuxNZf7jYbh6djW0NIEE8O9hzcdT\ne7HpbCH/PZZDz+ceojIzj6zVvxlamlr4Bzkz874QYtaf4dzJ7NY76BERszdSNpwpYNPZAv41oSe+\n3a0MLUctyi9ncHjaIkLXf0ZCSjW5WaXMeXCwKBIuaDPFlbW8sT0Vn26WPOZcz7FZTxG2aTl2AdJI\nkleUX8bGH44xcKgXYSN9dZKYUMTsJY6iXsmKw1nEXrjKv6f1lozRK6qqObXwdfyef5S4k9cpuVbB\n/MfChNEL2kU3KzPen+zPtYo6Pkivx/fvizi98HUUFdIoJNLD2ZZ7Fw4j+VQOu7ckU6+oN7QkYfaa\nos24343qOt7YnkpKUSUfT+2ll3KC2tJ//o3PMHNzZV+ZMxaWpsx+YDAWlipTL2kFKce8Qdr6da3d\nysyEt6P8cLA2Y6mlPya9/Ej6+4dai9/rWr+dvSULnhjK1YJyNv5wnMoKwxZoEWZvJKRdq+SZ6Iu4\n21vw3mR/uujBKLVFxo+byd97jOO+Iwke4sHEOcGYtCHNskDQEqZyGc9FeDK9ryOfhU8n73gSGSs3\nGFqW2lhamTH3ocE4utjx0xeHKMi9bjAtImZvBOxPK+GzA5k8MVQam6Vu5dqhkxx96O9kzHiUiYvG\n4uln/EtDBdLkbF4Zn64/yqwvPyDs23fo0Uy1M2Mm+XQOu39PZuy0IAIGuGo8Xltj9tK5feyA1NUr\n+eFYDnGpxfxrYk9692h/QjBDUHIhnSMP/J3SqXcz/9WpdOkqjecLAmnSz8WWpY+M4MuKEuoefZ2h\nv36Bc5A0HtgCBA5ww8HJluifTpKbXcrIqN56/Qv4/9s78/ioqnuBf2cyk2RmskxmyL6wJAQSIhol\nLAq4obRYcevjoUXRQp8fgVLr08KzrwWV9kkt4keJYC3Fj+Cz2KcoVEDcUFBWEyCYAAlJzL5NMktm\nMtud8/4IRJAkJCyZmXK/n8/9zM3ce+d+PzdzfnPuuef8jnyvfZFcaLtftdnJ45tPUNHm5JW7Rvgt\n0F+of8U35eyavgDlnXdy359m+y3QB3ObNwS3vz/cB+lCWfzkXVhm3c+un/6Kbw5XXvBn+cM/LjGK\nWfMnYDE5eGv1HkxN7QN2bjnYDzBCCP5Z0sIT/yzl9kwDz90+jBhNYM4u1R2S18eXHxzhyCOLiL9r\nClNfnI9anl1KZgAJDVHy4O8eIu7ff8LxR37DXz87gTsAerv0FY02lLtm5XLN+DT+/pd9FO75bkBy\nAMlt9gNIW4eHlbuqaLF7WHzTENJiwv2t1C9MTe1sfesAhnfWkTx2BFe/9HRATmwuc2UghODw4hWU\nflXEl/Me5z9/PJIhMcHVlNjWYufDd46g0aqZem8OEVF9jwn9bbMPWbp06dILcLxkVFRUkJh48Q8r\nAhmfEGw9buK5TyvJS4li0U2DMQToXLHd4fVI7Pn8JJ/+o5Chn24k6bpMRr/4XyiU8o2hjP9QKBTE\n3zoejpcR9+FWVoakYfUpyI7ToVIGRyVEow1l1LXJtJkcfLTpW0JDQ4hLiupTJaq+vp5hw/r+zEIu\nrRfJ+dr9TpocPLGllI9PtLL8xxn8PC8JdUjgXPbz+VeWtvDGy1/RUtHE1QffJ+6qYeSsWBwwgT6Y\n27whuP0DwV2hVJL9/JOkXZfFY//3FxprWvjFuyXsrz5/MrJA8AcICVEy8bbhzJiTR8nhev53zV4a\nay99MrXAKLH/gtjdEq/trWHxtpPcnmngxTuHM8wYPLeYNouTLW8f4uP3v2XS2EEY17+KIW8UOXKN\nXibAUCiVZC9/krhJ13HDn//I/KFqXt1Tw7OfVNDU7t+BTP0hNiGSmb8Yy9XjUnn3jW/4bEsJzg7P\nJft8uc3+EuP2+thS0sLGw42MTY1i7tgk9EH0ANbZ4WH/F+UcOVDD1eNSyTZ6KfqP3zJ47r8F/DRx\nMjKVf32Hivy3GPXaMraHDOKD4mamZhqZeXV8UA1U7HC42fXRCUqLmxg7eSjXjE87pyNEf9vs5WB/\niZB8gk/LWnmzoJ50g5aHxyQGTV4bAI9bomDPdxzcVcHwUfFMuCUD647PObbkFUYtf5KEO2/xt6KM\nTJ9o3P4lR594nhH/PQ/N3VN5q6CBLyvauDcnjntyYtEEUe8xU1M7u3eU0lBrYcIt6eRcm4zyVDOw\nHOwHmC927caTkM3Gw41EhoUwJy+JUQkR/tbqM1/s3IVOlcrB3RUkpemZeNtwonUqji19BdOuA+T+\n7X+IzEr3t2aP7N69m4kTJ/pb44IJZv9Adm8/UUnhzxcTM/ZqRj73Kxq9St74pp6ihnbuy4lj2shB\nFO7fE7D+P6S+2syX209gt7mYMTePiKhweQTtQGF3S2w91sLGkxqG2Uw8Oj6Z65Ijg6YrYrvVScHX\n31G4x076SDN3P3gtCcnRWI4c5+v5S4kaPYIJH/0NdVTw/HDJyJwmInMIE7atpfi3K/n6tkcYvWoJ\nv70lm5MmB+8caeKhjd+So1Mzwu4mVnf5Ew5eLImpembMzaO2su2CM8nKNft+Um12su24iY9OmBiT\nEsVPr4pjeJCkORBC0FBj4dC+ak6WNJF1TSLX3TAEvUGL197ByRf/Ru3fP2Tkc4+TdG/gz/spI9MX\nGjZ/RvHTK0i6byoZv5mLSqelweZi07fNfFLayrjUKO7IGkR2nC5oKmsgN+NcFjo8El9WmNl+3ESd\n1cWUDAN3Zg8iIUhytTva3RQfqqXoYC2S5OOqMSmMzktBow1FCEHjhzs5/swq9HlXMfKZhYTFysnM\nZP61cLe0ceyZVbR+XcCI380n4a5bUSgU2Fxeth03sf24CQXwoxFGpgw3BMWodjnYXyLcko9DdTZ2\nVZj5+jsL2XE6fjTCyLi06LMGbARqu6XL6aX8eBMnjjZSddJEelYcV12XQsrQmK7aS+ueQg4uWo5O\nHcbIpb/EOCm4sghC4F7/vhLM/sHobvqqgOPPvIJCqcR19yRufHQ2CoUCIQTfNtrZftzEV99ZGJ0Y\nweShesanRaMLDcwHunKb/UXg9Pr4psbKrgoz+6utDI4JZ+IQPbOvS2RQELTrdTjcnDzWTOnRBqor\nWkkeHENmTgJT780h/FRNRQhB86d7KH/5TZwNzajvnMT1T/9S7jsvc0VgvOFaJmxfS/2mjylals++\nD/cw7JcPETtlAjkJEeQkRPCYW2J3pZmdJ9t45atqrkqIYOKpwB8dRN03f8gVXbP3CUGZqYNvaqwU\n1No40eJgRKyWiUP03DBEjzHAUxpIXh91VWa+K2uhssxEa3M7aelGMkclMGxkbFeAB/CYrdT+YxtV\nb2wiJCyUoQtmkTD9FpSq4P3yyshcDEKSaNjyORX5G/C2O0idfQ/JM6YRaoju2sfulthXZWF3pZmC\nWhsp0eFcmxzJtcmRZMfrCPXjaHi5GacXOjwSpS0OipvslDQ6+LaxHb1G3fXPG50QgTZAb9mgc8BT\nXZWZuioz9dWdiyE2gsEZRgZnGElKi0F1Rn5sr72Dls/3Uv/eDky7DjLo1gkMfuQ+9GNHB9WDKBmZ\ny4kQAvM3R6la9y7NO77CcH0uiffczqCbx6GOjuzazyP5KGlyUFDbWTmsMjsZEaslK05HdryOkbG6\nAR24dcmD/fbt23n88ceRJIm5c+eyaNGic/ZZuHAh27ZtQ6vV8sYbb5Cbm9vnYy9XsLe5vJSbOihv\n7VxOmjqotrgYGhNOVryO7Dgdo+J1F908cznaLYUQ2G0umhtsNNXbaK630VRvxWZxkpASTVKavmvR\naL/3Fz4ftpKTtO4pxPTFAVr3FKK/dhSJd08h/ic3d9uNMhjbXc9E9vcfwewO3ft7bXYaPtxJwwef\n0rb/CFFXZRJ76wRip1xPxMhhZ1WSbC4vJU12ihvtFDfZOdHswKBVk2HUMMyoYZhBQ7pBi0GruiyV\nq0vaZi9JEgsWLOCTTz4hOTmZvLw8pk+fTlZWVtc+W7dupaysjNLSUvbt28djjz3G3r17+3TsxWJ3\nS9RbXdTZXNRZXdRZ3J2vVhcOj8SQmM6LPiJWx7SRg0g3aAi9xDPDNDQ0XNBxQgicHR7MJgdtJgdm\nkwNza+drW4sd6MyVEZsYyZDhRsbeOJRBcRFdo+cA3CYzpoIirEdP0Lb3EG17D6E2xmCYcA2J997G\n6FW/P6tmcin9AwXZ338Eszt076+K1JEy8w5SZt6B5HDS+nUBzZ/uoeCh3yA5XUTnZqPPzSI6N5uo\nq7MYmxrN2NTOZh/JJ/iuzcnJVgflpg7eLWqivNWJEILk6DCSos5dosJCBuwuu9dgv3//fjIyMhgy\nZAgAM2fO5IMPPjgrYG/evJnZs2cDMG7cOMxmMw0NDVRUVJz32O7wCYHDLWFzSVicXlo7PLQ6vJgc\nHkx2DyaHh9YODy12D06vj6TIUJKiwkiMCiMzVsvN6TEkRoUSFxGKcgAuYljY2d0vfT6By+nB6fDg\nsLux21y0W12025zfr1tdtFudAOiNWvQGLXqjltRhBkaPSUFv1KKLDEOhUOC1d9BRXU9HURHV1fU4\nqmppP15Be0k5UoeTyKx0IrMzSLx7CtnLnyI8ftBF+Qcbsr//CGZ3OL9/iDac2CnXEzvlesQfn8BZ\n04DlUAmWwhLKX16P5cgx1NGR6IaloktPQ5uRRuSwNCYkx3PzqDhUkSkIIWjr8HZVQuusLvZVWaiz\ndlZMBTBIp8agUWPUqTFq1Rg0qq51fbiKyDAVEWEhFx3Peg32tbW1pKamdv2dkpLCvn37zrtPbW0t\ndXV15z32NAs/OI7NJWFzeWl3S4SrlESGqYgMC8Go/f4ijIjTdv59aonR9O/2SPgEkk/gk3xIkg+f\nJJBOrUve79+XJIHk9eHxSHhcXjweCbdLwuOW8Li9uN3fr9dUh7C+6mucHZ0B3u2WCAtTER6uQqMN\nIUKrRqsJQReqICHUR3icj7B4JWHKMJReD5K9DU9bJe5yCx6TmSZTGzWtFtwmM26TGZ/bjSYlAU1q\nEprUBDSpiRhvGENkdjrhyfFy27uMzACgUCjQpCaiSU3syhMlJImOmkbsJ6uwl1fhKKuiecdXdNQ2\n4qpvBoWC8MRBhCXEotZHkaSPZHB0JGp9FGp956tbq6VdocIqlFjcSswdShp8Cr71Kmj2KDB7BDa3\nD4dHIiI0hKhwFX++Y/gFzYfRa7DvayC52Ge8t7zwJzrPJOg646nPFEJ0rXsFNApB45nnPGM7XS9n\nvic6V4VACIFCoUABnedRnP161vqZrwrF2a+A2udDLXlJbbehDQtDeCXwehFeCZ/Xi3B7QKlEqVaB\nWoVLq8GrDceh0xKi0xCiDUel0xKiCUdtiCbUEI02LZFQYwyhRj1qo55QYwxq/eVNwVBVVXXZPnsg\nkP39RzC7w8X7K0JC0A5OQjs4idhbxp+1TQiB12bHVd+Ms7EFT5sVj9mKx2LD02bFUVmDx2zDY7Yi\nOV34nG40ThdhThexTheS043P6UIIQUh4GMowNahUCJWK8Imvgza23769Bvvk5GSqq6u7/q6uriYl\nJaXXfWpqakhJScHj8Zz3WACn00nay/P7Lf6vgAC8p5aOs7ZIYDV1LpeZCRMmUFBQcNnPc7mQ/f1H\nMLvDAPpHhEBEDKTGnLNJRf8HOx2rr4b6apxOZ7+O6/U8Y8aMobS0lMrKSpKSkti4cSNvv/32WftM\nnz6dVatWMXPmTPbu3Yteryc+Ph6j0XjeYwHuuOOOfgnLyMjIyPSfXoO9SqVi1apVTJ06FUmSmDNn\nDllZWbz22msAPProo0ybNo2tW7eSkZGBTqdj3bp1vR4rIyMjIzPw+H1QlYyMjIzM5UdOiCIjIyNz\nBSAHexkZGZkrgAHNgvXqq69SWFhIVFQUK1as6Hp/27Zt7NixA6VSSW5uLrNmzRpIrT7TnX9ZWRlr\n165FkiRCQkKYM2cOGRkZfjY9l5aWFvLz87FYLCgUCm699VamTZtGe3s7K1eupKWlhdjYWH7961+j\n0+n8rXsOPfmvX7+egoICVCoV8fHxzJs3D6028CaT6cn/NFu2bGHDhg2sXbuWiIjAmx2sN/9gKL89\n+QdD+XW73SxduhSPx4PX6yUvL48HHnig/2VXDCDFxcWivLxcPPHEE13vFRUViWeffVZ4PB4hhBAW\ni2UglfpFd/5LliwRhYWFQgghCgoKxNKlS/2l1yttbW2ioqJCCCFER0eHWLhwoaiurhbr168X77//\nvhBCiE2bNokNGzb40bJnevI/fPiwkCRJCCHEhg0bgs5fCCGam5vFsmXLxLx584TNZvOjZc/05B8s\n5bcn/2Apv06nUwghhNfrFU8//bQoKSnpd9kd0GacrKysc355duzYwT333IPqVKrdqKiogVTqF935\n6/V6HA4HAHa7nZiYc/vSBgJ6vb4rdUV4eDjJycm0trZy8OBBbrzxRgBuuukmDhw44EfLnunOv62t\njdGjR6M8lYt/+PDhmEyXf2zChdCTP8Cbb74ZkLXhM+np+/Pxxx8HRfntyT9Yyu/p1A5erxefz4dO\np+t32fV7MvOGhgaKi4t5++23UavVPPjgg6Snp/tbq8/87Gc/4/e//z3r169HCMGyZcv8rXRempqa\nqKysZPjw4VgsFvR6PQDR0dFYLBY/252fM/3P5LPPPguKLIxn+h84cACDwcDgwYP9rdVnzvTfsGFD\n0JXf0/6ZmZkkJiYGRfn1+XwsWrSIxsZGbr/9dlJTU/tddv3+gFaSJOx2O3/4wx+YNWsWK1eu9LdS\nv1izZg2PPPIIq1evZvbs2axevdrfSr3idDpZsWIFDz/8MBqN5qxtwZBnx+l08uKLL/Lwww8THh7e\n9f57772HSqUK+GB/pr9CoWDTpk3MmDGja7sI8J7QZ/prNJqgK78//P4ES/lVKpW88MILrFmzhpKS\nEo4ePXrW9r6UXb8He6PRyLhx4wDIyMjonATYZvOzVd8pKytj7NixAIwfP56ysjI/G/WM1+tlxYoV\nTJ48ucs5Ojoas9kMQFtbG9HR0b19hF857T9p0qQuf4CdO3dSWFjIwoUL/Wh3fn7o39jYSHNzM089\n9RTz58+ntbWVxYsXB+zdVXfXP5jKb3f+wVR+AbRaLbm5uZSXl/e77Po92Ofl5XX9StXV1eH1eomM\n7D0HeyCRkJBAcXExAEePHiUpKcnPRt0jhGDNmjUkJyeflaJizJgx7Ny5E4AvvviCvLw8Pxn2Tk/+\nhw4dYvPmzTz11FOEhgbuPMHd+aelpfH666+Tn59Pfn4+BoOB5cuXB+QPbk/XP1jKb0/+wVB+rVYr\ndnvnHBdut5uioiKGDh3a77I7oCNoX3rpJUpKSrDZbERHRzNjxgwmTZrE6tWrqaysRKVS8dBDDzFq\n1KiBUuoXp/2tVit6vZ4ZM2aQlpbG2rVr8Xg8hIaGMnfuXIYOHepv1XM4duwYS5YsIS0treuW74EH\nHiAjIyMoul5253///fezbt06vF5vV3fFzMxM5s6d60/VbunJ//SsbgALFizg+eefD8iulz19f3Jy\ncoKi/PZ0/aOiogK+/FZVVZGfn4/P50MIweTJk5k+fXq/u17K6RJkZGRkrgD83owjIyMjI3P5kYO9\njIyMzBWAHOxlZGRkrgDkYC8jIyNzBSAHexkZGZkrADnYy8jIyFwByMFeRkZG5gpADvYyMjIyVwD/\nD6jKj8BlfNBHAAAAAElFTkSuQmCC\n",
+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 11
},
{
"cell_type": "markdown",
@@ -409,7 +726,17 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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h1/uZoFXgOzM/Bmm5SDTr4viRqFPg6bbB5yH7nMaDliYrsnPVY3a0xiJzXAra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\n",
+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 12
},
{
"cell_type": "markdown",
@@ -440,7 +767,8 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [],
+ "prompt_number": 13
},
{
"cell_type": "markdown",
@@ -458,7 +786,8 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [],
+ "prompt_number": 14
},
{
"cell_type": "markdown",
@@ -482,7 +811,35 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "time: 0 \tposition = 0.203 \tvariance = 2.500\n",
+ "time: 1 \tposition = 0.282 \tvariance = 1.667\n",
+ "time: 2 \tposition = 0.201 \tvariance = 1.250\n",
+ "time: 3 \tposition = 0.341 \tvariance = 1.000\n",
+ "time: 4 \tposition = 0.313 \tvariance = 0.833\n",
+ "time: 5 \tposition = 0.239 \tvariance = 0.714\n",
+ "time: 6 \tposition = -0.085 \tvariance = 0.625\n",
+ "time: 7 \tposition = -0.184 \tvariance = 0.556\n",
+ "time: 8 \tposition = -0.042 \tvariance = 0.500\n",
+ "time: 9 \tposition = 0.042 \tvariance = 0.455\n",
+ "time: 10 \tposition = -0.020 \tvariance = 0.417\n",
+ "time: 11 \tposition = 0.027 \tvariance = 0.385\n",
+ "time: 12 \tposition = 0.095 \tvariance = 0.357\n",
+ "time: 13 \tposition = 0.041 \tvariance = 0.333\n",
+ "time: 14 \tposition = -0.086 \tvariance = 0.312\n",
+ "time: 15 \tposition = 0.008 \tvariance = 0.294\n",
+ "time: 16 \tposition = 0.039 \tvariance = 0.278\n",
+ "time: 17 \tposition = 0.042 \tvariance = 0.263\n",
+ "time: 18 \tposition = 0.020 \tvariance = 0.250\n",
+ "time: 19 \tposition = 0.008 \tvariance = 0.238\n"
+ ]
+ }
+ ],
+ "prompt_number": 15
},
{
"cell_type": "markdown",
@@ -542,7 +899,8 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [],
+ "prompt_number": 16
},
{
"cell_type": "markdown",
@@ -586,7 +944,53 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "UPDATE: 1.0000,\t502.0000\n",
+ "SENSE: 3.3611,\t9.8047\n",
+ "\n",
+ "UPDATE: 4.3611,\t11.8047\n",
+ "SENSE: 1.4162,\t5.4138\n",
+ "\n",
+ "UPDATE: 2.4162,\t7.4138\n",
+ "SENSE: 2.9041,\t4.2574\n",
+ "\n",
+ "UPDATE: 3.9041,\t6.2574\n",
+ "SENSE: 5.3093,\t3.8490\n",
+ "\n",
+ "UPDATE: 6.3093,\t5.8490\n",
+ "SENSE: 6.1276,\t3.6904\n",
+ "\n",
+ "UPDATE: 7.1276,\t5.6904\n",
+ "SENSE: 5.3634,\t3.6267\n",
+ "\n",
+ "UPDATE: 6.3634,\t5.6267\n",
+ "SENSE: 5.7098,\t3.6007\n",
+ "\n",
+ "UPDATE: 6.7098,\t5.6007\n",
+ "SENSE: 7.8917,\t3.5900\n",
+ "\n",
+ "UPDATE: 8.8917,\t5.5900\n",
+ "SENSE: 8.3542,\t3.5856\n",
+ "\n",
+ "UPDATE: 9.3542,\t5.5856\n",
+ "SENSE: 10.7324,\t3.5838\n",
+ "\n"
+ ]
+ },
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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6iUdsNrBYtE5RuF17c86KFamZN+fYbBAQIAVcR9T0wD26E/PKlSvs3LmT5f9M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\nBoOBhx56SPMx9Xa7nUmTJuFwOHA6nTR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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 17
},
{
"cell_type": "markdown",
@@ -704,7 +1108,32 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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v+UePHnV6vMXl+OjRo8UqHkcex8XFsXz5cgBCQkKIjIykKIq01srUqVPx9vbm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\ndemFWkguLCQX1pMRuQtbNNu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+ "text": [
+ ""
+ ]
+ },
+ {
+ "metadata": {},
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+ "text": [
+ ""
+ ]
+ },
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "[102.0, 6.3099, 4.6267, 4.2812, 4.1939, 4.1708, 4.1646, 4.1629, 4.1624, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623, 4.1623]\n"
+ ]
+ }
+ ],
+ "prompt_number": 18
},
{
"cell_type": "markdown",
@@ -753,7 +1182,8 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [],
+ "prompt_number": 19
},
{
"cell_type": "markdown",
@@ -808,7 +1238,33 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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+ "text": [
+ ""
+ ]
+ },
+ {
+ "metadata": {},
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+g399pP7F027B3r59OxYtWgSv14v58+dj8eLFoRhXVGJ/TmAWQntZGA0SYgxG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\niKLE/wcmBBxsw7gzqAAAAABJRU5ErkJggg==\n",
+ "text": [
+ ""
+ ]
+ },
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Variance converges to 0.0907297673624\n",
+ "Last voltage is 15.230349143\n"
+ ]
+ }
+ ],
+ "prompt_number": 20
},
{
"cell_type": "markdown",
@@ -832,7 +1288,8 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [],
+ "prompt_number": 21
},
{
"cell_type": "markdown",
@@ -862,7 +1319,17 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 22
},
{
"cell_type": "markdown",
@@ -915,7 +1382,25 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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AwPTp0xEbG4sZM2Zg/vz5uHPnjstmrtsiKtnZqGV9EIQjjzzyCEaMGIGnn34aEydORK1a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\n/RdfCP4mmBMnQFdU2M2W69SJhUzGIfpGAr5cdB1r10rx9dd1WLlSZmh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+ "text": [
+ ""
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+ },
+ {
+ "metadata": {},
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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 23
},
{
"cell_type": "markdown",
@@ -970,7 +1455,17 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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fjsLJk4lhXQHT7t1yv4cK1K1boZ2LpF17gP4VKlUC17JlyKqtsIKBYllAEFAp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pe4CgQCiFvzAfylJZDbjeC4cZAbN4ZzxgzmQw2wSV8QIDx4AOnaNcj16sH15psIt20LuX59UFwc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\nhQin7c9ubJuYaYMa2pIpyaRAByn79nmQQ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VLKyN+vLV2K+JVXorS0FJl4XExV7/35Z+yW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\nJCXB8sMfun+0rlkzslAwTCkvvwyNdynKMDC9Hv2uMqn9/bwZczUffSS56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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 24
},
{
"cell_type": "markdown",
@@ -1017,7 +1512,17 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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O0qVLAVi6dCkjRoxwav/h4Ua+/z6Hm24y8um8Kxwb/BSzB2xi4ebOTr1PTZH9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\n6fzpNOa+pSLm/ZE8fecBZs+27vABcr/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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 25
},
{
"cell_type": "markdown",
@@ -1064,7 +1569,17 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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zcUgMtl07cLcocnGjFQyu4MEH9fjrLxWuXCHgO2ECyJwcdzfJinrpT319Uf7n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\nK3XvWAzx3EaN0gUd7dbWjz+WkzZXz5yRx/WfWH/ZwOBzGuooCuqRIwQ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2NWq5YKHk6VXCx+jXMlk3gtnTBF0yi1zp/txVB45gzxYcOEYbymoXXtKj43L09Kj9jfx7V7N743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\nkzT7MoCGp8XDh2H/5BPTQ9k2b9bJfDc0L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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 26
},
{
"cell_type": "markdown",
@@ -1106,7 +1621,17 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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WVt7YV44ePeDo00d3Ox8bC/uwYQHpmq+odYYh5KmnwPqaCasDISIC9ttvB4CA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I20evXsukSxGPh86OGw7BVFW7WySabgcBDp2JH8N97A/eWX8lkjPXrEvb/Nm79hCOV7+230pCRi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\nPAm8qGPHBBdGSZ1j8AkJHIMUDx7umERCFbYxYzyLNRSANScHHQK1+H7jg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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 27
},
{
"cell_type": "markdown",
@@ -1144,7 +1669,17 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "pyout",
+ "prompt_number": 28,
+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 28
},
{
"cell_type": "markdown",
@@ -1189,7 +1724,25 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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Do4Fvv9Vxzz2BvPKKNz17+jFxog+jR2ePVT92LJm4uGSGD8/iww9vfmZg9Wo9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\nJqB5c7ynTkV1+XKul809eqC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+ "text": [
+ ""
+ ]
+ },
+ {
+ "metadata": {},
+ "output_type": "pyout",
+ "prompt_number": 29,
+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 29
},
{
"cell_type": "markdown",
@@ -1218,7 +1771,8 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [],
+ "prompt_number": 30
},
{
"cell_type": "markdown",
@@ -1256,7 +1810,17 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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31WXITp4E27WrQ1oqywJXrtA4e1aGuz8XYHrcSXjNmuqCXoqLLbbIyaFw5QoD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\nAABJRU5ErkJggg==\n",
+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 31
},
{
"cell_type": "markdown",
@@ -1281,7 +1845,8 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [],
+ "prompt_number": 32
},
{
"cell_type": "markdown",
@@ -1319,7 +1884,17 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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sYmLphuJi1Nu8uUwvMy+PwAcfBOOrrzROa9vo9HTQRoPwxBMcXnxRh5SUMLzw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\nEBtDiZ0QQmwMJXZCCLExlNgJIcTG/B+XpnWFzmtpWQAAAABJRU5ErkJggg==\n",
+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 33
},
{
"cell_type": "markdown",
@@ -1347,7 +1922,8 @@
"input": [],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [],
+ "prompt_number": 33
},
{
"cell_type": "code",
@@ -1383,7 +1959,33 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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PNXkyXBL6L5rSUn8YRwr744/LPrFHS9JlAi67zI0VK6IrriCNjYJGne3QQVSG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\ny/UwLY4+I9yx6fILr6oKQGdjfdHx49BKJNZ1fSshQyQoLYV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+ "text": [
+ ""
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+ },
+ {
+ "metadata": {},
+ "output_type": "pyout",
+ "prompt_number": 34,
+ "text": [
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+ ]
+ },
+ {
+ "metadata": {},
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iKMKiTkQURcLy7Jeamhr85S9/gc/nw8MPP4y1a9eG42MiUktLC/bu3YvOzk5I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\n",
+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 34
},
{
"cell_type": "markdown",
diff --git a/Multidimensional_Kalman_Filters.ipynb b/Multidimensional_Kalman_Filters.ipynb
index 0ef772e..6d70e2b 100644
--- a/Multidimensional_Kalman_Filters.ipynb
+++ b/Multidimensional_Kalman_Filters.ipynb
@@ -1,7 +1,7 @@
{
"metadata": {
"name": "",
- "signature": "sha256:a5092fdb457092655d7be09664d2cce0ee1940411b8e794c1b3d9108c51bceca"
+ "signature": "sha256:3d6dcb53cebe9cf8598551dcc370e439718b360c783852dd1b9c8c9eeb335e02"
},
"nbformat": 3,
"nbformat_minor": 0,
@@ -27,8 +27,223 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "html": [
+ "\n",
+ "\n"
+ ],
+ "metadata": {},
+ "output_type": "pyout",
+ "prompt_number": 1,
+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 1
},
{
"cell_type": "markdown",
@@ -113,7 +328,7 @@
"language": "python",
"metadata": {},
"outputs": [],
- "prompt_number": ""
+ "prompt_number": 2
},
{
"cell_type": "markdown",
@@ -136,7 +351,7 @@
"language": "python",
"metadata": {},
"outputs": [],
- "prompt_number": ""
+ "prompt_number": 3
},
{
"cell_type": "markdown",
@@ -154,7 +369,7 @@
"language": "python",
"metadata": {},
"outputs": [],
- "prompt_number": ""
+ "prompt_number": 4
},
{
"cell_type": "markdown",
@@ -172,7 +387,7 @@
"language": "python",
"metadata": {},
"outputs": [],
- "prompt_number": ""
+ "prompt_number": 5
},
{
"cell_type": "markdown",
@@ -189,8 +404,16 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "0.0174395374407\n"
+ ]
+ }
+ ],
+ "prompt_number": 6
},
{
"cell_type": "markdown",
@@ -210,8 +433,16 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Probability dog is at (2,7) is 1.78%\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
},
{
"cell_type": "markdown",
@@ -258,8 +489,33 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "pyout",
+ "prompt_number": 8,
+ "text": [
+ "(-10, 20)"
+ ]
+ },
+ {
+ "output_type": "stream",
+ "stream": "stderr",
+ "text": [
+ "/usr/local/anaconda/lib/python2.7/site-packages/matplotlib/font_manager.py:1236: UserWarning: findfont: Font family ['monospace'] not found. Falling back to Bitstream Vera Sans\n",
+ " (prop.get_family(), self.defaultFamily[fontext]))\n"
+ ]
+ },
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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HMffXaQ0lfsO4ejnJ0PsJ29fjAq47GzknNCAy9gXis65BMz+4f1vS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6Wg4BTJghMICNvr9aJt347vxRdRv/22NKopPZ3wrbcSu/TSJFBOOKDVTZswFixA2bWL8NNP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\nKGcvi7QC+4EHtpSCOw08aHjjvjkxWza2cbOiK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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 8
},
{
"cell_type": "markdown",
@@ -293,8 +549,17 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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fsF6np6drqj/BfH3q1EZUq3Ybli2LRs+e+cL7U9bXZXn/paWlYf78+QCAhIQE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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 9
},
{
"cell_type": "markdown",
@@ -367,8 +632,17 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 10
},
{
"cell_type": "markdown",
@@ -385,8 +659,17 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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hXp9/7LHH4gtf+EIFJwLoP9znGKACLr744tiyZUs0NDTE4MGDo7W1NS688MIY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\n/j//jtwYbZOe0QAAAABJRU5ErkJggg==\n",
+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 11
},
{
"cell_type": "markdown",
@@ -403,8 +686,17 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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jns/s5OXa6dZhnphgwUzpx3dxohhdXb5F7zA3NFg4dYp/apS8oSH9hj/bBo4c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\n85V1a9y9sJ3rU8rgSwc/qHdXGMkgm9QQiMWgrbu6OrlgXrmyiEwGGBg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DGilX/iAT62s5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\nqAwWzEREREREZfw/VRNCe5hFbpAAAAAASUVORK5CYII=\n",
+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 12
},
{
"cell_type": "markdown",
@@ -425,8 +717,17 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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+1GjxhofNF/zpOtDS4sDatfbj1SphTk8XUwhmZqI6VUoispaMoSEF+fm65Tzw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\nU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gKGYd84fNgGRfHnJ19yiYJbb2XWof7y1puxCmYdihK8aOx2FnkYSEwM28oO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\n",
+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 13
},
{
"cell_type": "markdown",
@@ -462,8 +763,17 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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l92cdc9CgP/aPipI6dfKsPD1h+9Ahp3bt2qZKlVLVo0dHORxZ9/v7V1Xz5m30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\nLPI0hyzNIk+zyNMcO2RZ6BXfWrVq6dS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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 14
},
{
"cell_type": "markdown",
@@ -605,7 +915,7 @@
"language": "python",
"metadata": {},
"outputs": [],
- "prompt_number": ""
+ "prompt_number": 15
},
{
"cell_type": "markdown",
@@ -629,7 +939,7 @@
"language": "python",
"metadata": {},
"outputs": [],
- "prompt_number": ""
+ "prompt_number": 16
},
{
"cell_type": "markdown",
@@ -720,8 +1030,25 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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3oh6k59Vr1tj54INAtmyxExOTxsqVCVSunMWOYBYLZ0227L3YlCyLX9FcMzGj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\nnBiE1Wrw6KMp3HabM0NdEFenjoQMGwb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fFSp4qVDBR1SUL2/bDRsGvvKZP7kWEZErKVmW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+ "text": [
+ ""
+ ]
+ },
+ {
+ "metadata": {},
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+ "png": 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i9feee+5RaWmp1q5dq4aGBnV1damhoUHNzc1avXq1du7cqdbWVi1fvlz79+//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\nbWlpifXlUtaJEyei7777bjQajUb7+/u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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 17
},
{
"cell_type": "markdown",
@@ -760,8 +1087,17 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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l92cdc9CgP/aPipI6dfKsPD1h+9Ahp3bt2qZKlVLVo0dHORxZ9/v7V1Xz5m30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\nLPI0hyzNIk+zyNMcO2RZ6BXfWrVq6dS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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 18
},
{
"cell_type": "markdown",
@@ -826,8 +1162,25 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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KYuLEiQAcO3aMl156ib179xIYGEidOnVskwwhhBBCCDuyujXCy8sLgNzcXMxmM/fccw8A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+ "text": [
+ ""
+ ]
+ },
+ {
+ "metadata": {},
+ "output_type": "display_data",
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IIeHpSUrPntnusnmzJ0OH+jNxYjz3358/DxlTISxSSKnPzdiUP+NS7oxN+XOPefO8mTTJ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\nGFry9sO3KHbtgn7cOBS88QbMAwY4NLYoAidPyrF5swrnz8vQu7cZnTp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NG0XHN27cQHh4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\nRBSQ/h9NVqTEYs9E7QAAAABJRU5ErkJggg==\n",
+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 19
},
{
"cell_type": "markdown",
@@ -854,8 +1207,17 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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YDAVr3GrFMHMm3pMnkz58OBlDhuQ5kc5Z6ekwbZo3M2caGDAgg2nTUvB1onZV\ny5fH9OqreE+ZQtpnnxXZZDvNuXMY5syBP1ddc/g6l0XwkMptiEX58uU5e/Zs1nFERATR0dFs3LgR\nq9VKeno6RqORy5cv37ctIYQQQjghLQ3t/v3ujiIbzblzlOzWLWuLZrVyZRK3bkVz+jQlO3ZEe+RI\ngdvXb95M0rp1ZAwf7rLiWFVhzRo9LVuW4uBBLRs3JjF2bLpTxfFd6cOGoYtcwvTV42i6oClDY4ZS\n3rc80RHRRPeKZkDoAJcVx5qLF/F74w1KduyIqtc7f71LoniI3dvre+/XI0eO5D//+Q/BwcFMnz6d\nypUrs2jRIiZPnkxISAgNGjRg+vTp2Ypi6UGWMYXCPskLYY/khbDHaDTiFRmJz182KHM33caNmNu3\nz7aahlquHCkLFpAxeDAlXngBw9dfg9War/ZtNWqQvHRpZg+1i8TGaujZswT//rcPU1+MZuGnJ6hS\nxflFBK6lXmPmHzNpv7E3nd7QctnXyuynZ7Ozz07ebfZuoaxEofr6YmnWjDv795P+4YdOX18sh1i4\n04oVK7K+nj59etbXYWFhHDp0KOu4S5cudOnSJdu1TZo0YWUu+5Lf264QQggh8slmw/ubb0j94osC\nNaOLicFat65Tqy7kRb9hA6YXX8z5hKJgeuUVLGFheE+enLk0hFbrknvmV2IifPGFD4sXe/H22+kM\n6JdCuQavk/jGJofbsLez3biW42jdK3Nnu8Km+vuTMXhwvq+XHmThUTx57JhwH8kLYY/khbCnbXo6\nqrc3lqeeKlA7hiVL0N9n11yHmUzojUYsbdvmeoqtShVSJ0++/1jkxES8Fi50OgQlPv6+vdPx8QoL\nF3rRsmVpEhIUtm9PZPDgDHz27cQWFIR6n+XyzFYzMediGLh2IPW+q8cvJ3+hd53eHH3zKDM6zaB9\n1fYuLY6V27fx/vJLdNu2uazNu6QHWQghhBAPDO/p08kYOrTAKzdYGjRAe+AAvPxygWPS7dqFtWZN\nVH//grWzbh1+77yDuW1bTC+/DE6MrfUbPBhTz56YXnkFgFu3FPbv1/LHHzr279eyf7+O9HR44gkL\nCxYk06TJ/4pp/erVmLt2tdtuUU22u5fm/HkMM2bgFRmJuUsXbM895/J7SIEsPIrRaJReIZGD5IWw\nR/JC/JX20CEsR49icnLFAnusoaHoo6NdEBVgMpHRp0/+rk1MRL9+PV6//op2715Spk3D0qaNs01g\n7PIFR9+DcS6JAAAgAElEQVRby29rDfxxyMCtWxoaNrTQsKGVnj1NfPJJGlWq2NkCWlXRr1lD8g8/\nZHvYFTvbKTduYFi4MHNYidkMViuK2YytXLnMiYZ/obl4Ed8RI9AePIipTx8St29HrVjRqffCUVIg\nCyGEEOKBYAsMZPf771M/H6sW/JW1QQN0hw6BzebwNtW5sbRvn+9rNZcu4T1lCpY2bUgxGnFk+QhV\nhV9/1RMVpeePP3RcuaKhXr2GNKtwmec1q3g/sjM1atgcelnaI0dAo8H2+OOu39nOakVJTETV6TJX\n3fD2xqbToZYvb/d0W+nSZAwYgPmpp6BkSefv5wRFddPaYhs2bKBx48Y5Hr98+TKVXDQgXhQv8r0X\nQgjhSUqFhpL800/YHnvM3aE4RFVh7Vo9n33mjarCm29m0LSphZAQGzrdn0vNdehA4o4dqAEBDrWZ\nevUiu7csZKphX9Zku4haEbR+tGgm27nKvn376NChg8Pne+Qrs9lsaAr4aU0ULzab88vGCCGEEIUp\n/e23XbrZRmFRVVi3LrMwNpthzJh0unY15+ghtlWrhql3b3w++4zUL7/MtT27O9vVdu/OdkXN477r\n5cqV49KlS1SuXFmK5IeEzWbj0qVLBAQEyJhCYZfkhbBH8kLY48q8MPXt65J2Couqwvr1Oj77zIe0\nNIUxY9J45pmchfG90keNQrl61U5bRT/ZzpN5XIHs5eVFQEAAV+1888SDKyAgAC8vL3eHIYQQQni8\newvj1NTMwvjZZ/MujLOuLVMGtUyZrGNXTLZ7EHncGGQhhBBCCKepaoGXdnM17ZEj6IxGMv72N5e0\np6qwcWNmYZyUpDB6dBrPP+9YYXwve5PtImpF5H+yXTHwQIxBFkIIIYRwWGoqpVq0IHHPHvCgv0bq\nV69GSUoqcDuqCps365g40YeEhMzC+IUXzE5tuJfrzna5TbYzmTJ39HPzrn7uIoN8hUcxGo3uDkF4\nIMkLYY/khbhLt2dP5nq4Xl4elRf6DRswO9Fr+VeqCjExOrp0KcnYsb4MHJjOjh2J9OjhWHFckJ3t\nvJYtw3fYsHzHXtxJD7IQQgghijWd0Yi5kCZs6rZsQRMfj6lXL6euU27fRnvsGJYWLZy+p9UKK1bo\nmTzZG5sNRo5Md7jH2KnJdmYzvmPHkjp+fI71lfWrV2N+/nmnY39QSIEsPIrMSBf2SF4IeyQvxF26\n7dtJf+cdwPV5oSQlof/5Z6cLZN3mzVhatgRvb4evMZkgMtKLKVO8eeQRlXHj0unUyezQ0Op8TbbT\n61Fu3sR75szMJe3uSklBv20bqdOnOxz7g0YKZCGEEEIUX6mp6A4exNKsWaE0bw0NRTd6tNPX6Tdu\ndHh4RWoqLFxoYNo0b2rWtDJ5ciqtWlnuWxi7Yme7tA8/pGSnTmS89hpqhQqZsW/ahKVJk2yrXTxs\nZAyy8CieNHZMeA7JC2GP5IUA0MbGYmncGEqUAFyfF7agIMjIQImPd+q69FGjMPXsmec5d+4ofPml\nN40alWb7dh3z5yfz88/JhIXlXhwnm5JZcmwJPaN60mxBMw5cO8C4luM43P8wn7b+lEYBjZxaicJW\nvTqmXr3w/vzzrMf0a9Zg7trV4TYeRNKDLIQQQohiy9qwIclRUYV3A0XB2qAB2oMHsYSHO3yZrWrV\nXJ+7fl1h5kwD8+YZ6NTJTFRUEo8/nvuOsnZ3tqvjup3t0keNolTz5mQMHIitVi2U1FRMXboUuN3i\nTNZBFkIIIYTIg89HH6GWKpU1zjm/btxQmDTJm8hIL1580cSwYRlUrWq/MM5tst0LNV8olJ3tDP/9\nL2qpUpheftnlbXsCWQdZCCGEEMKFMvr2zVxaIp9UFZYs8eKjj3zo3t3Ejh2JBAba75901852GW+9\nVajtFzdSIAuPYjQaZWa6yEHyQtgjeSHsKYy8sFWvnu9rz53T8Pbbvty8qbB4cTKNGuUstF0x2U64\nlhTIQgghhBCukpQEfn5YbBq++cbA1197M3x4OoMHZ6DX/+80p3e2E0VKxiALIYQQoljSGY1YnngC\nDAZ3h5LFZ8wY9uqaMWR7Px55ROXLL1MJDs4cZ2xvsl1E7Qi6BHdxyWQ7kTsZgyyEEEKIB19KCiV6\n9ybhxAl3R5IlJQXGRzZjofI6//o4g969TYDK7isO7mwnPIasgyw8iqxrKuyRvBD2SF483HS7dmGp\nXz/HFsnuyouNG3WEtfDlSkZZtv+eQrMuR5m4cwJNFzRlaMxQyvuWJzoimuhe0QwIHSDFsYeTHmQh\nhBBCFDu67duxtGpVZPdT4uLwGzaM5F9+yfb4zZsK48b58NtvOiZ2+IF68V/x8saPZbJdMSc9yMKj\nyIx0YY/khbBH8uLhpjcasdjJgcLKCzUwEN3u3ZmT8Pjf0m0tW5bkBicIfu85yuzqz6ZahgLtbCc8\ng/QgCyGEEKJ4SU5Ge+RI5gS9IpJq0nE4KILfJySz93Z5tu00k2K7jqXXG+iaedG7Vk/aB2Xw5PBZ\nqGXLFllconBIgSw8iqxrKuyRvBD2SF48vJTkZNL/8Y8c44/BNXmRlgaHD2s5cEDH/v1aDhzQcvas\nlse8x1F+0xF21f2WKq/cYFj7UHrU/m/WeOK0yJ4Fuq/wHFIgCyGEEKJYUQMDC7zt872OHNGyc6eW\n/ft1/PGHljNntNSsaaVhQytV61xB12I5qaYZPLf7Ft1vB6JMmlfoO9sJ95J1kIUQQgjx0Jo3z4uJ\nE33o1MlMo0YWQkOtlK92ldUXfsq2s11ErQiaXFLxGzGCpG3b3B22cJKsgyyEEEII4YBvvzUwbZqB\nX39NonzlRFafXs2nJ5ayZ5f9ne1s/haSVq92c9SiKMgqFsKjyLqmwh7JC2GP5IWwx9G8+OYbA9O/\nMTB6xq98euJN6n1Xj19O/kLvOr05+uZRZnSaQfuq7bNv+6zTQalShRS58CQu6UG2Wq00bdqUoKAg\nVq5cya1bt3jppZc4f/481apVIzIykjJlyrjiVkIIIYQQ+aaqKu9+fINli0uj7deSBXGGAu9s57Vo\nEea2bVGDglwbrHAbl/QgT5kyhTp16mSt8zdx4kTCw8OJjY2lQ4cOTJw40RW3EQ8BmZEu7JG8EPZI\nXjycfD76COXSpVyfzy0vTt0+xYTfJ1DjtXks/F7L65O+Y/3AuQXf2c5qxeejj0Ajf5R/kBT4uxkX\nF8eaNWsYMGAAd+f7rVixgr59+wLQt29foqKiCnobIYQQQjzskpMxfPedw+sMX0u9xsw/ZtJhcQe6\nLXuGDXPbUubkWxzcUpZ/dxnkkpUotPv2YatYEbVSpQK3JTxHgQvkkSNH8sUXX6C555NTfHw8AQEB\nAAQEBBAfH1/Q24iHhIwpFPZIXgh7JC8ePrqdO7GEhoKPT67nxGyJYcmxJfSM6kmzBc04cO0A77cY\nx0txZ8k42ol1ayz8WaLkX3IyWK0A6DduxNK+fQEbFJ6mQAXyqlWrqFChAo0aNSK31eIURZEtFoUQ\nQghRYLrt27G0apXjcbPVTMy5GAauHUj/w/2zTbb7JnwGG/7bjW1bvVi+PJly5Qq+um2pjh3RnDgB\ngH7DBsxOLB8miocCTdLbsWMHK1asYM2aNaSnp5OYmEifPn0ICAjg6tWrBAYGcuXKFSpUqGD3+iFD\nhlClShUASpcuTf369bPGDt3tGZBjOZZjOb77mKfEI8dyLMfuOdYbjezq3p2bRiOtWrViz9U9TNk8\nhe23txNSLoSIWhG8YHiB0vrShIWEYbNBnz4JnDoF0dEKpUurLomnUWAgjxw4gLliRdQjR9hqs/Ek\nuP39keP/Hd/9+sKFCwAMGDAAZ7hso5AtW7YwadIkVq5cyejRo/H392fMmDFMnDiRhISEHBP1ZKMQ\nIYQQQjgsKYkydeqwd/daIs+tYNmJZWgVLRG1I+gZ0jPHeGKbDd5+25fjx7VERia5dHU2w9SpaC5d\nIu2DD9Dt3o2lXTvXNS4KhbMbhbh0yuXdoRRjx44lJiaGkJAQNm7cyNixY115G/EAu/eTnxB3SV4I\neyQvHh7XUq/x3xML6D08iG6repBkSmL207PZ2Wcn7zZ7N1txbDQasVph2DBfTp3SsGyZa4tjAGto\nKNqDB6FECSmOH1A6VzXUpk0b2rRpA0DZsmVZv369q5oWQgghxEMm2ZTM6tOrWXpiKXuuZu5sF9Hr\nE6bes7OdPVarwuDBvly/rmHJkmT8/Fwfm7VBA3SHD2d2U8vybg8klxXIQrjCvWNOhbhL8kLYI3nx\n4DFbzWy+uJnI45HEnIuhRaUW9K7TmwXdFuCr973/9WaYP78TiYkKP/yQnNdiFwWilimDpV49lGvX\nUAMDC+cmwq2kQBZCCCGE26iqyp6re1h6YilRJ6MILh2cr53tLl9WGDjQjzJlVBYtSsbbuxCDBpLX\nrCncGwi3kr8LCI8iYwqFPZIXwh7Ji+Lt7s52TRc0ZWjMUMr7lic6IjpfO9tt3KijQ4dStG9v4W9/\niy704lg8+KQHWQghhBBF4lrqNX6O/Zmlx5dyKfkSL4a8yOynZ9OwQsO890zIyACDIcfDVit89pk3\n339v4NtvUwgLsyCfm4QruGyZN2fJMm9CCCE0Z8+iPXAA8wsvuDsUUUjsTrarFUHr+0y2u1fJ8HBS\nJ0zA2rRp1mPx8QpvveWHRgOzZqVQoYJbyhlRTDi7zJv0IAshhHAbr59+Qrl5UwrkB0xBJ9tlk5iI\n9vhxrPXqZT20dauOwYP9eP31DEaNSkerdfELEA89GYMsPIqMKRT2SF48uPS//oq5a1cAlIQEp66V\nvPAsqqqy+8puRm8eTd3v6jJp1ySaV2zOntf3sPjZH+kR0sP54hjQ7dyJpVEj8PbGaoXPP/dm0CA/\npk9PYcyYnMWx5IVwBelBFkII4RbKpUtozp/H0rIl2GyUCgsjKSoK22OPuTs04YRTt0+x9MTSbDvb\nRUdEZ23e4ff66+i3bCH13//G9PrrkNdYYzv0RiOWVq24fj1zSIXFAhs2JFKxogypEIVHxiALIYRw\nC8OcOWj37CF1xgwAfD78ELRa0j76yM2RifuxN9kuolaE3cl2SlwcmoQEfIcPR33kEVKmTEENCnL4\nXiU7dmR9r2n0n9KcV17JYMyYdHTSvSec5NatpoUQQghH6deswdylS9Zxxmuv4bV4ceZuD8LjJJuS\nWXJsCT2jetJsQTMOXDvA+MeGcEo3hikzz9FiyTa7K1GoQUFY69Ujad06LK1aUapdO/QOriFsyzDz\nWVwf+n3ZjK+/TmHcOCmORdGQAll4FBk7JuyRvHgwpf/jH5jbt886toWEYA0ORr9unUPXS14UPrPV\nTMy5GAauHUi97+rxy8lfeLN8Fy7e+RuLPj9Jl4hRGIzbMb34YubwibzodKS//TZJy5djdWAYzc2b\nCi+99girqg9l/YYkOnSwOBSz5IVwBfkcJoQQwi0sTz2V4zHTa6/htWgR5m7d3BCRgPvvbKeJjcUr\nYS5p//xn5vhxLy+n2rfVqWP3casVDh/WsmWLjq1b9ezapaN//wzGjUtDr3fFKxPCcTIGWQghhOdI\nScHn449J+/RTpydziYKxN9muZ0jPrMl2rqaqcOqUhq1b9WzZomP7dh3lyqm0aWOmdWsLYWEWypSR\niXjCNWQdZCGEEMWXnx9pEya4O4qHRr53tsunS5cUtm7Vs3VrZi+xRgOtW5t55hkzX/m9R2DzIEx9\n+8qHI+F2UiALj2I0GgkLC3N3GMLDSF4IeyQv8sfeznbjWo6zu7Od5vx5bJUrk9+ZcaoKO3dqWbbM\ni61b9dy6pRAWZqFNGzOjRqVTvbotqxbW1HsRw7BheC1fTurXX2N79NF83VPyQriCFMhCCCGKVno6\neHu7O4oHhnbfPry/+oq0f/4TW82ads/Jz8522l27KNGnD8kLFmBt3typmG7fVliyxIv58w1YrfDK\nKxnMmZNC3bpWNLksD2CrU4ek6Gi8p06lZPv2mNu1I+2jj1ArV3bq3kK4goxBFkIIUXRsNkqHhpL4\n669OrYUrcuf95ZfoV61Cc+ECGX37kv722+Dnl+tkuxdqvkA533J5tqmLicFvyBBSvvkGS3i4Q3Go\nKvz+u475871Yu1ZPp05m+vY18eSTFqdHTGiOHcNvyBBSp07NtsW0EPklY5CFEEJ4LO0ff6D6+jpe\nHKuqjEe9j/QRI0j/299QEhPx/fBDfJs/wZR/dWNmyka7O9vdj1dkJD7//CfJ33+PtVmz+55/86bC\n4sVeLFhgAKBv3ww++SQNf//897/ZHn+cpE2b8n29EAUlBbLwKDJ2TNgjefHg0K9Zg7lrV4fO9Z40\nCbV0aTIGDrT7vOTFn7Rarikp/By/nKUdzlC5QjpVymqY/ZTzk+30UVH4jB+fueX344/nep6qwvbt\nOubPNxATo+Ppp8189VUqLVo431vsapIXwhWkQBZCCFFkvNasIeWrrxw619KsGT7vv0/GgAHSi2xH\nrpPteuWcbOcoc/v2JDZtmmsP/40bCj/+6MXChQa02sze4s8/T+WRR2Q5NvFgkQJZeBT51C/skbx4\nMGjOnEG5dQtr06YOnW8JC0NJTUW7fz9WO3NWHsa8yM9ku7uUq1dRAwPzvkGpUqilSmV76O7Y4rlz\nvVi3Tk/XrmamTk2hWTOrR35ueRjzQrieFMhCCFEQNhve//kP6aNGSS/nfWguXCDjtdfIdRmDHBdo\nML32GoaFC0l9iCd1329nO0f5vfUW6p/rTNuqVbvv+XfuZK5EMXeuAZsN+vXL4LPP0qS3WDwUHPwp\nJUTRMBqN7g5BeCBPzgtNbCw+EyagOX7c3aF4PEvbtqR/8IFT12S8/DL6qChIScnxnCfnhSucun2K\nCb9PoOmCpgyNGUp53/JER0QT3SuaAaEDKOdbDuXOncwuXgckL12KpXlzSnbsiPfnn6Ncvw4ZGdnO\nUVXYt0/LsGG+hIaWYudOHV98kcrvvycyeHBGsSiOH/S8EEVDCmQhhCgA3f79AGji490cyYNJrVQJ\n83PPoT11yt2hFIlrqdeY+cdMOizuwDM/PUOSKYnZT89mZ5+dvNvs3RwrUZTo2RPdb7851rjBQMY/\n/kHi5s1ojxyhdN26eP38MwDJyTB/vhft25ekf38/atSwsmtXInPmpBAW5v6Jd0IUNVkHWQghCsDn\n3XexBQeTMWSIu0MRxZS9yXYRtSLs7myXjdVKmWrVSDhyBP4ybtgRSlwcR+5UYe48Az/95MWTT1ro\n1y+D9u0tDo+CEaK4kHWQhRCiCGkSEjA1aeLuMEQxU5DJdndpzp7F5u/vdHEcF6ewapUXv/zyOHFx\nGvr0yWDr1kSCgjx/+IQQRUUKZOFRZP1KYY8n50XKt9+6O4SHVpHlhcmUOTjXYChQM66abHeX9tAh\nrPXrO3TuuXMaVqzQs3KlF2fOaHj6aTPvvJNG+/YWdA9YJeDJPy9E8fGA/bcQQgjhabS//47m+nXM\nzz7r7lDypeQzz4CqkhQTk6/rT90+xdITS1l2Ylm+drbLjfbIEax16+b6/MmTGlas8GLlSj2XL2vo\n1s3Me++l8dRTFvT6At1aiAeeFMjCo8infmGP5EXxZli4EGuDBi5vt0jyIiMD7d69JK1f79Rl11Kv\n8XPszyw9vpRLyZd4MeRFZj/t/M52eVFSUrC0bZt1rKpw7FhmUbxihRcJCQrPPmvi44/TaNnSglbr\nktt6PPl5IVxBCmQhhHARr+++w/zss6jly7s7FM9hsaBft470sWML3JTm5EkMc+aQNnGiCwJzjD46\nGktYGNZGje57bq47291vsl0+pU2YAMCZMxq+/96LlSu9SE+H554zM3lyCk88YZXJdkLkk/zXER5F\n1q8U9hSXvNBv3ox+0yZ3h+FRdLt2YatYEdujjxa4LVtQEF5Ll6LExQFFkxdeS5ZgeumlXJ83W83E\nnIth4NqB1PuuHr+c/IXedXpz9M2jzOg0g/ZV2xdKcQyZ6xX36+dH584lMZsVZs1K4cCBRD7+OI3m\nzR/e4ri4/LwQnk16kIUQIj9SUtAdOIDlySezHjK3b49u0yZMvXq5MTDPol+zBnPXrq5pzMcH04sv\nYvjhB9JHj3ZNm3m5cZMdW1Sm6ftxZo6B0qVVSpdWKVPGRpruCmcz9nE0ZQeB/gba1erFdw2+pFpg\nacqUUTFoCmdFCFWF9et1TJ3qzblzGoYMyWDatBRKlCiU2wnx0JJ1kIUQIh90W7fi8+mnJK1dm/WY\n5vx5SnbuzJ1jx2TbaQBVpVTTpqTMneuyMcjagwfx69OHxP37Hd+y2kmJiRAZaeC777ywpZt5428q\njRtbOH75CjHH9/Db6eOoaaWp6dOMSro6WFNLceeOwp07CgkJmf+SkhTKlFEJC7PQvr2Z9u3NVK6c\n/1+3JhP8/LMXU6d6o9WqDB+ezvPPm2WynRAOknWQhRCiCGj378fylw/5tqpVUUuUQHv0aJ6rCzxM\nUmbNcngpMkdYGzRALVsW3ZYtWNq1c1m7AIcOafnuOwNRUXratrXw2WdphDS+zC8nf2bs8aXE34nj\nzWodGdlvwF8m2+XcBttmgytXFLZs0bNxo57/+z8fKlRQs4rlJ5+04O19/5iSkmDBAgMzZnhTs6aV\n8eNTaddOdrYTorA9pCOUhKeSsWPCHk/MC93evVjsbBBibtcO3caNbojIAykK1qZNXd6bntGnD/ro\naJfkRXo6LFniRefOJenduwSVKtlYv/UKT4/+jik3X6D5wmYcuHaAcS3HcajVUj76ZBuNHFiJQqOB\nypVVXnnFxOzZKZw4cYepU1MoXVrliy98CAkpQ8+eJZgxw8CJExr++rfc+HiF8eO9adSoNPv26Vi0\nKJlffkmmffvM4li3fXtmt7LIwRN/XojiR3qQhRAiH3T795P2r3/leDxj4ECwWos+oIeI6fXXQauF\n7dvz3cbZsxrmzTPw449e1K9vZcjfkzE8HsNPp5bQYXUuO9upKnh7o92/H6uTQwS1WmjSxEqTJlbe\nfTedO3cUtmzRsXGjnhkzDKiqQvv2Zlq3NrNtm54VK/T07Gli/fokqlWzZW8sI4MSEREknD6d79cv\nhMibjEEWQggnKfHxlGrZkjunT8tYYw9mMkFSkkJiYuaY4KQkhatXFRYvNrB/v5bevTNo0m0vO9Ln\nZ9vZ7oWaL+S6s533+PEoNhtpH33ksjhVNXNTj40b9WzdqqN+fSsDB2ZQrpz9X8/agwfx+9vfSPzt\nN5fFIMSDTsYgCyFEIVPS0sgYOlSKYzcxmSA6Wo/RqCMxMXsBfG9BbLVCqVIqpUqplCyZ+a9MGZVW\nnS9S/++zWX5uMdGxOXe205w7h6pLRw0KynFv83PP4de/P2kffuiy77+iQEiIjZCQDAYNyrjv+drD\nh7G4cFy3ECInKZCFRzEajbILksjB0/LCVq0a6e+84+4wPJpy4wZqOfu9sPkVG6th0SIDkZFe1Khh\n5fHHY2nTpholS2Yvgu8eGwz/q2Hv3dluZvIlXlRy39nO+4svsNarR8bgwTlisDZoAFYr2sOHXTr5\n0BnaQ4ew1qvnlnsXB57280IUTwUqkNPT02nTpg0ZGRmYTCaef/55JkyYwK1bt3jppZc4f/481apV\nIzIykjJlyrgqZiGEEJ4sMZHSTZqQcOwY+PoWqKmUFFi+3IuFCw2cO6fhpZdMrFyZRM2aNozGM4SF\nVcr12nztbJeSgn7NmtyHUCgK6aNGgcVSoNdVENojRzCHh7vt/kI8DApUIHt7e7Np0yZ8fX2xWCyE\nhYVhNBpZsWIF4eHhjB49ms8++4yJEycysQi3BhXFl3zqF/YU27xQ1YdyGIY+JgZLixb5Lo5VNXOX\nuEWLDCxfrqd5cwvDhqUTHp593d+wsDD0P/+MYrViiogAMne223xxM5HHI4k5l8tkuzx4rV6NpXlz\n1AoVcj3H9Npr+XpdrmKtU8dtvdfFQbH9eSE8SoGHWPj++QPQZDJhtVp55JFHWLFiBVu2bAGgb9++\ntG3bVgpkIcRDxWfsWKyhoZh693Z3KEXO69dfMeVj97xbtxSWLvVi4UIvUlMVXnvNhNGYSKVKuc8l\nt1WujN9bb7GjWWUiz0Zlm2w3ofWEXCfb5Rr74sVk9OnjdOxFKU1+nwpR6Aq8DrLNZqNhw4YEBATQ\nrl076tatS3x8PAEBAQAEBAQQHx9f4EDFw0HWrxT2FMe8sD7+OLpNm9wdRtEzmdBt2ID56acdvmTv\nXi0DBvjRuHEp9u7VMmFCGnv2JPL22+l5FsdL1i/hY3UjRr8bbP30Dcr7lic6IproXtEMCB3gdHGs\nXL6M9o8/nIpdeJ7i+PNCeJ4C9yBrNBr++OMP7ty5Q+fOndn0l18IiqLkuqD6kCFDqFKlCgClS5em\nfv36WX8auZvgcvxwHd/lKfHIsWccHzp0yGPi0f/0E/uSkrjz2GN5nu9TogTtN28Gmw3jjh0eE39+\njytv2ULNJ5/E2qgR2w4fzvV8ndFIQsWKbD95krA/O0ryav/777344AMdL710gv37H+WRR1SMRiM7\ndtg//1rqNSatncTmW5u5YbrBy/Ve5tKrA3lvyg9kfD0cDIZ8v96nHnuM1C+/xLh3r9vfbzl+MH5e\nyLF76wmj0ciFCxcAGDBgAM5w6TrI48ePx8fHh9mzZ7N582YCAwO5cuUK7dq14/jx49nOlXWQhRDF\nUckuXUh77z0srVvf99xSzZqRMnt25soHxZz3F1+g27IF3cGD2AICsDRujLVRIzJefz3bWGP9qlUo\nCQn3Hadrs8HHH3sTFeXF4sXJhITYcj3X3mS7iFoR2SbblejVC3PnzmS8+aZrXrAQ4oHi7DrIBRpi\ncePGDRISEgBIS0sjJiaGRo0a8dxzzzF//nwA5s+fzwsvvFCQ2wghhGewWDLXoG3Y0KHTze3aFc9h\nFjZb5r97pL/7LsmrVpFw9izJ8+djad0azalTZJs1B5ifeea+xXFaGvTv78dvv+mJiUmyWxybrWZi\nzrCNRhsAACAASURBVMUwcO1A6n1Xj19O/kLvOr05+uZRZnSaQfuq7bOtRJE2dizaffsK8KKd57Vk\nCYZvvy3SewohikaBCuQrV67Qvn17GjZsSPPmzXn22Wfp0KEDY8eOJSYmhpCQEDZu3MjYsWNdFa94\nwP11qIUQ4Dl5oT1+HFulSlCqlEPnW9q1QxsbW8hRuZ521y5KPP98Lk9qsdWpg+nVV0mbNClHgXw/\n164pPPtsSby8VH75JQl////9EVNVVXZf2c3ozaOp+11dJu2aRPOKzdnz+h4WP7eYHiE9sq1EcW9e\nWBs3JnX6dOdeaAHZKlbE68cfi+6GyckY/vvfortfMeUpPy9E8aa7/ym5q1+/PvvsfGIvW7Ys69ev\nL0jTQgjhcbR792JxYmiYuXPnYjnhS/f774WyjNixYxp69y7Byy+bGDMmPWsFvFO3T7H0xFKWnViG\nVsm5s52nsjz5JJq4ODTnz2OrWrXQ76c9fBivyEgy3nqr0O8lxMOuQAWyEK52d5C9EPfylLzQ7d+P\ntVEjxy8opmsg63fscPlSZxs36hg0yI9PPkkjIsKUbWe7S8mXeDEk953tcuOyvEhPB29v56/T6TB3\n6YJ+5Uoy/v5318SS1+2OHMFat26h36e485SfF6J4K/Ayb0II8bAwvfRSvtb3LVasVrS7dmVu9OEi\n8+Z5MWSIHzNmX8dWbyE9o3rSbEEzDlw7wLiW4zjc/zCftv6URgGNHC6OXclv8GD0P/+cr2tNzz2H\n14oVLo7IPu2hQ7JBiBBFRApk4VFk7Jiwx1PywtKyJWpQkLvDKFTao0dRAwJQy5cvcFtWK7w/zsAX\nU6w0GjucN4+G3HeynTPyzAuTyaE2lIQE9Bs3YmnfPl8xWFq3RnPxIsrt2/m63hnaw4ex1KtX6Pcp\n7jzl54Uo3mSIhRBCiCyaM2cwt2tXoDZUVcV4Zj/Dh5bl8o0U6g3/Fx0adWZqzT1Ob96RH8r165QM\nDydx+3bw88vzXH1UFOZ27VDLlMnfzfR67hw4AF5e+bveUVYr2uPHZYiFEEXEpesgO0PWQRZCPCw0\nJ0+ipKU9EOsh5+XuZLvFu7ZybfZsQh7P4NupGkIqVCvyWPz69cPSuDEZw4fneV7JLl1IHzHC8ydT\npqVh+OEHWedZiHwq0nWQhRBC3J9u5068p0xxdxiF4lrqNWb+MZMOizvwzE/PcPZ4aTJmbWZU3+ps\nXlzdLcUxQNro0XhPnw7Jybmeozl7Fs3p05id+KXpNj4+UhwLUYSkQBYeRcaOCXuKe16Y27ZFt2VL\n5qDcB0CyKZklx5Zkm2z3VtVP6H7mLBs/fo8JH1t4552MQl/EI6+8sNWpgyUsDMPs2bmeo7l0ifQh\nQ5xey1l4tuL+80J4BimQxf+3d9/RUVRtGMCf2Z4eegtVeq8JKEQggAQw0kITkCYoiIJSRUVEKSIq\nKGBBQGxA6IofGIIBogQIoSYQCEoLJbSQun2+PwKRwIbsJrPZzeb5neORmZ25cwPv2bx79733ElE+\nhLt34dmnT4HvF/38IJYtC/mJExL2qmjltbPdTy3OQbduLd4e+hyUChkiI1PRp4/B0d0FcH8Uefly\nIDXV4uvG9u2hmzSpiHtFRMUBJ+mRU+H6lWSJo+NCfvQoYDQWqg1Dp05Q/vmnbesoO5goioi5HoOw\nhDBsPbcVNX1qIrReKD58Zj4O762EZW9ocO2agHHjdFiyJANeXkXbv/ziwlyvHrJmzICQlQXRyt0P\nC0OxezdMrVpBLFXK7s+ivDn6/YJcAxNkIqJ8KGJjYSrkpGJD587QLF0KvPmmRL2SniI8HMZOnZCY\ndsHiznblFDXxyy9q9BilRunSIiZM0KJXLwMUTvybRD9qVJE9S/3TTzBcuwa9xJusEFHRY4kFORXW\njpEljo4L+dGjMBZy5Nf49NMwOPEmI7f/OQnFyyPQZUM39NrUC2n6NKzsvhIHhx3Ei37T8MPSBmje\n3AdRUQosX56B8PA09O7t2OTY0XHxKHttGiKPiYF66VLJ23VVzhYXVDw58ed+IiInIIpQxMYia8GC\nwrXj4QHdq69K0yeJpOvTseP8DoQlhKHaHwcwoU4pvP3MOwisGgiFTIGTJ+UY/74au3YpMWCAHrt3\np6FGDbOju+20DF27wuONNyCkpBR8XWULFAcOQHbtmmTtEVH+OIJMToW1Y2SJI+NCuHoVMJlgdpEd\n9PKabPeF+wA0DBmHztU741yCCoMGeWDQIE80aGBCbGwqFizIcrrkuKBx4TZ9OmTx8RL3BoCnJwzP\nPgvlzp2SNis/dYpbTNuAv0dIChxBJiJ6ArFyZaTu3w+7r1lmR3lNtpsfOD9nZzvNwc9xvusofPi6\nO3btUmLyZC2+/z4DarWDOy8h2ZkzgFwO1fr1yHr3Xbs8wxASAuWWLdAPGiRZm4pTp6CbMEGy9ogo\nf0yQyalERUXx0z89xqFxIQgQK1RwzLML6cHOdo9OtqvpWzPXdelJqfj07FAsG98ew4frcehQKnx8\nHLLJqk1sjQvN8uVQREVl14J7etqlT/rnnoMo5brKWi1k//4LU7160rXp4vh7hKTABJmIyIUkZyZj\n89nNCDsThqT0JPSt2xcru69E8/LNITwyCm4wAD/8oMKiBZUR1LA79v6QCj8/50+MC0o7ZQq8162D\nfsAA+z3E2xuG3r0la06ekABTrVpwqaF8omJAEEXRIe+GERERaFnIZZOIiIob+aFDUG3eXPhJfw95\neLJdzPUYBNcKRmi90JzJdo8SReD335WYM8cNVaqYMWdOFpo2dY1d/vIjS0yE+amnik/JTGoq5Bcv\nsgaZqJBiY2MRZMO28hxBJiIqQuaqVaHasAFZH30EyOUFbsdgMiDyciQ2nNmA8AvhaFu5LQY3HIy1\nPdfCXeme532HD8sxe7YbUlMFzJ+fic6djcUmV5SCuXZtR3fBNt7eTI6JHIAJMjkV1o6RJQ6Li4wM\nwM0NkEm34I9YqRLESpUgP3YMplatrLrHZAISEmSIjZUjOu4GErVHEJ8RhYrllOjaoC/WtV2MmpV8\nUKqUCFUe5a///CPDBx+4ISZGgbffzsLAgfrC5OdOge8XZAnjgqTABJmIKA9uH3wAc40akq9fnLPt\ntIUEWRSBK1dkOHJEjthYBY4elePYcRlUPnegr/gXVGUvobZ7SzwrzIbxHy8cOSLD7rsCUlIE3L0r\nQKMBfH3NKFVKRKlSInx9RchkwL59CkyYoMPy5Rlwz3uAmaRkMhXqWwIichzWIBMR5cGra1dkffAB\njO3aSdquIiICmk8/RfqOHbhzR0Bs7H/JcGysAjIZ0KhZBuR+sfjHYx3ulYlA/+ZBCK0XanGy3QOi\nCKSlASkpMty9K+T8l54uIDjYgLJlXXcCntPJyID3008jPSwM5rp1Hd0bohKPNchERFLQ6yE/fRrG\npk0lbdZoBP40dMRvMZmIbOGFW3fkaNHCiBYtTOg7IBXPvvI/hN9Zg5gb2ZPtxtULRWDVDyxOtnuU\nIADe3oC3txnVqlnXH838+dAPGgRzzZr5X0zW8/CA9o034PHqq0jbuROQcuk3IrI77qRHTiUqKsrR\nXSAn5Ii4kMfFwVSjBuDhUei2RDF7ctyMGW5o3NgHHy7yxVPTe+GnXzJwNvEmJny+BVcChmLqjacQ\nee9HDGk0GPGj47Gi2wp0rt7ZquS4QIxGaFasgOjjY5/27czZ3y/0I0dCLFUKms8+K9D96iVLoP72\nW4l75fqcPS6oeOAIMhGRBfKjR2Fq0aJQbcTHy7B5swqbNqmgUgH9+umxY0caatUyIeZ6DFYlhGHr\nfss72xUF+YkTMFetCrF06SJ7ZokiCMhYuhTeHTvC0K0bTM2b23S7IiYG+r597dQ5InoSJsjkVDjz\nmCxxRFzI7tyBsW1bm++7dEmGzZuV2LhRhZQUGfr10+P77zPQpIkJ51MSsSEhDBuj8tjZLitL4p/i\nyRQHDsAgcX11USoO7xdi5crInDcP7pMmIe3PP21af1l+6hRM771nx965puIQF+T8mCATEVmgnTLF\n6mtv3hSwdWv2SPH58zKEhBjw8cdZaNvWiFva7J3tJq/Pf2c7t/ffh/zsWWTNnm3zaGNBKKKjoZdw\n1zeyzNCvH0z+/rZtTpKaCtmtWzDXqmW/jhFRnliDTE6FtWNkiTPHxd69CgQEeCMmRo633spCfPw9\nzJmfjMulfsKA7f3hv9Yfx5OPY1a7WTg16hTmBc5DiwotLK5EkfXhh9C/8AI8hwyBx+jRkP37r/06\nLopQHDhQoFFyZ+HMcZGLIMBs7azJ+xRxcTDVr89l4gqg2MQFOTWOIBMRFdCRI3KMGeOBH3/MQJuA\nLERejsT4CNt2tstFqYR+xAjoQ0OhWbECXl27Qv/ii8iaM0f6zosi0tetg1ilivRtU6HJ4+JgatzY\n0d0gKrG4DjIRUQEkJMjwwgtemPDecVyuvBxbz/032a53nd6STLYTbt2C4sgRGJ57ToIeU7FiNmfX\npEuwigoRcR1kIiK723/qEob2qwZ11yn4wfgrQt0fmWwnEbFsWSbHLkq4eRNiuXJ5XyCTMTkmciDW\nIJNTYe0YWWJzXJhMUC9blr0AcQEowsOzd/R4SHJmMr469hUCv+2Pvn090CQkHOvf7YWDww5iqv9U\nyZNjyl9xfb+QJSTAu2NHCHfuOLorLqm4xgU5FybIRORyZBcuQP3NN4+vGvBI0muJcPMmPMaOBeRy\npOvTsf70evTfmj3ZLubCWWSu2Yg3XqqE3xZ1zXOynV2ZzVBu2ZL9FTwVS+Z69aDv3RvuNqyUQkRF\niwkyORWuX0mW2BoX8vh4mBo2zHVOSEmBt78/VBs2PHlkOeYwkutXw8u7xqLxqsbYcm4LBjccjCND\n4nHju2/Q6Wk3zHpbX5AfQzKar7+Gas2agjdgMknWF0cqzu8XWe+8A3l8PJSbNjm6Ky6nOMcFOQ8m\nyETkcuTx8TA1apTrnOjri4yVK6FevhyevXtDdvbsf6+JIg5fO4xpkdPw7aqX8b9StxBQKQAxw2Ow\nLmQdXqjVD6+/Wg4VKohYuDDLpuVsJSeTIePTT+E2fz6Ea9cK1IT71KlQ/fSTxB0jm7i5IWPFCrjP\nnAnh6tVcLwkpKfyGgMjBmCCTU2HtGFlia1zI4+JgatDgsfOmli2Rtns3DD16wKtHD2S9OwWL9n6A\n1mtbY0L4BJRzL4exxpYIffFjjGk2BmXdy8JsBt54wx16vYDlyzMgc4J3TXPDhtC99BLcZ84s0P2K\nv/92iSXEivv7halFC+hGj4bbwoW5znuMHg1leLiDelX8Ffe4IOfAVSyIyOXIT5+G6e23Lb6WrL+D\nzQEiIqdUwtgNP0HR+KGd7QB4nfwaqfeXoBRF4N133XD+vBybN6dBpSrCHyIf2rfegneHDlDu2mXT\nShfC7duQXbvmEgmyK9C++Sag0+U6J4+Lg/GRb0CIqGgxQSanwtoxssSmuBBF6IYPh/mpp3JOpevT\nseP8DoQlhCHmegyCawVjbPAcBI4NRGfZQ2+DmZnQDxgAsVIlAMBnn2mwd68Cv/2WDncr9/ooMm5u\nyFy8GOrVq21KkBXR0TC2aeMSO7S5xPuFUpn9333CjRuAwcANXArBJeKCHI4JMhG5FkGAbuJEGEwG\nRF4Ix4YzNuxs5+6OrHnzAACrV6vw448q/P57Gnx9HbKfUr6Mzz4LY2CgTfcoDhyAsV07O/WICkt+\n6lT26L5DC92JyAmq6Yj+w9oxssTauHh4sl2jVY3wyaFPck2261e3n1XbPm/erMQnn7hh8+Z0VKzo\nnMlxDhsTKdnlyy6TILvi+0VOgkwF5opxQUWvUCPIly9fxvDhw5GcnAxBEDB27Fi8/vrruHPnDgYO\nHIiLFy+iRo0a2LBhA3x9faXqMxFRLol3ExGWEIaNCRshF+QIrV/wne0iIhSYOdMdmzeno0YN11tJ\nIOP77wu8gQrZn5CRAeP9GngichxBFAv+Tnn9+nVcv34dzZs3R3p6Olq1aoWtW7di9erVKFu2LKZN\nm4aFCxfi7t27WLBgQa57IyIi0JJvAkSOk5FRrLeyTc5MxuazmxF2JgxJ6UnoW7cvQuuFZk+2K8DX\n06mpwNatKsyd64YffkhH27ausVYwEREBsbGxCAoKsvr6Qo0gV6xYERUrVgQAeHp6okGDBkhKSsL2\n7duxd+9eAMBLL72Ejh07PpYgE5HjKP78Ex6vvYa07dtzTWZzdpYm281qNwuBVQOhkNn+dpaVBYSH\nK7Fxowp79yoRGGgo1smxcOsWYDRCvP++TEREBSPZJL0LFy7g6NGjCAgIwI0bN1ChQgUAQIUKFXDj\nxg2pHkMuLioqijOQ7clggGbBAqjXrUPGihW5kmPZxYswV6/uwM5ZZjAZsGznMsTJ4/KdbCfcvAnN\np58ia/78PNszGoF9+xTYtEmF339XonlzE/r10+OLLzLh41O8Sw/UP/wAeUwMMn78sURM8uL7BVnC\nuCApSJIgp6eno1+/fliyZAm8vLxyvSYIQp5fd44fPx7VqlUDAPj4+KBJkyY5Qf2gyJ7HJev4AWfp\njysdu928iY5ffw3R0xPhCxdCL5Phwa+QqH370GX0aOi3bYO5YUOH93f//v1IyEzAWfVZbD23Fe5a\ndwT7BSNmeAzKupdFVFQUYpNjH7u/o14PeVychfaikJBQCufOtcbWrSqUKnUPgYEXceCAHypWFBEV\nFYWTJ53r36tAx+PHwzswEImLFuH60087vj98v+CxA45PnjzpVP3hsePeH6KionDp0iUAwJgxY2CL\nQtUgA4DBYECvXr0QHByMSZMmAQDq16+PyMhIVKxYEdeuXUOnTp1w5syZXPexBpmoCIkivLp0gf6F\nF6B77TVY2g5O89FHENLSkOXAcihLk+361+1v9WQ79ZdfQnblSs7PEB8vw6ZNKmzapIJGA/Tvr0ff\nvnrUquV6k+8eUPz9Nzxefhn3DhwAvL1zzgtJSZClpDy2BTcRUUlgaw1yoZZ5E0URo0ePRsOGDXOS\nYwAICQnB999/DwD4/vvv0bt378I8hqjYE27dcuzKAYKAtB07oHv9dYvJMQDohw2DauNGQKu1Sxeu\nXhWwcqUaf/yhyPVXkZyZjK+OfYWgdUHotakX0vRpWNl9JQ4OO4ip/lNtWolCHh8PY4OGCA9XoFMn\nLwwc6AWTScCPP2bgwIFUTJmidenkGACMTz8NQ1AQ3D78MNd51caNUP3wg4N6RURUvBRqBDkqKgqB\ngYFo2rRpThnF/Pnz4e/vjwEDBuDSpUt5LvPGEWSyJCrKNWvHvIKCkPXeezA++6yju/JEnv36QT9o\nEPShoZK0d+2agF9/VWHrViXOnJGjW7s7OPWPF9QeQPuh4Tjl8xmO3MiebBdaLzTPyXbWxkW8/0TM\ncF+KZK0P3n03C8HBhrw+D7g04e5deLdvj9RduyD6+QEAPAYNgn7wYBheeMHBvZOOq75fUOEwLsiS\nIl3Fon379jCbLY/G7N69uzBNE7kU3dChUH/3XdElyGZzniPFT6IbPhzqlSsLlSBfv/5fUhwfL0dw\nsAFvvKHDM0+nwefZ1tjV1BsvubdFwscfoErFH7HqfQU6BxbqrQjnzskw9wMNjp1fgKkLgcEjUqEo\nXJPFmliqVO4SC7MZioMHkbl0qWM7RkRUTJTAsRVyZi73qf/+FzT6/v2hiIqCkJRk3+dlZMB94kRo\nliwp0O2G4GAYO3XKTrBtcONGdvlEr16eaNfOG7GxckycqMPp0ykY+e5eRKgnY960uhCTbyDgoh7H\nP3kbF054YvJYb0yZVBp9+nji8GF5nu3nFRfXrgmYPNkdPXp4oXVLA478fATDxgglOjnO8VD9sfz0\naYhly0IsX96BHZKey71fkCQYFyQF/hohsiOvbt2QsXw5zHXqQB8aCvWaNdDOmmWfh4kiPAcOhNnP\nD9qXX7b6tuhoOSIjldBoRGg0amhKz4BmA6DRiHBzA9RqMdef3dyyXzMYgF27VNi2TYmTJ+V47jkD\nJkzQoVMnA65kZU+2m7X+v8l245q+AXlIQ1QdNw4pSh9AAQwapEe/fnr8/LMKo0Z5olEjI2bO1KJZ\nsyevQ3zvnoClS9VYs0aNYcP0OHw4Fb6+IoDAQv4luibFgQMwtm3r6G4QERUbTJDJqbhS7ZiQnAxZ\nYiLMtWoBAHQjR8KrTx9op04FVCrJn6fYswey27eRvn27VeUVly/LMHu2Gw4fVmDgQB1SUmTQagGt\nVoBWC2RlCdBqBeh0D/7832tarQBRBDp1MuCVV3To3NmAVHP2znY9t/63s93K7iv/29nOHzAASAsL\ny7VGr1IJvPSSHoMG6bF2rRpDhniiVSsjZszIQsOG2SPZD+JCqwVWrlRj6VINnnvOgL17U+HnV7zX\nLi4K5sqVYapd29HdkJwrvV+QdBgXJAUmyER2oti/H8ZnngHk2aUD5vr1oX31VQjp6RBLl5b2YaII\nt0WLkDVlSr7JcXo6sGSJBqtXqzF2rA5ffpkBd/cn3pJ3W/d3thu60/qd7UwBARbPq9XAyy/r8OKL\nOqxapUbfvl7o0MGI6dOzYDIBv/yiwvz5GjRtasL27WmoX9+1V6OQkqFHD0d3gYioWGGCTE7FlT71\nK/ftg7FDh1zndK+/bpdnyQ8ehHDnDgxPWFLRbAY2bFBh7lw3tG+fPfpapYrto68GkwGRlyOx4cyG\nfHe2Kwh3d+C113QYMUKHb77RIDjYCx4ePVCpkohvvskotttAk/Rc6f2CpMO4ICkwQSayE8X+/dC+\n8kqRPMvk74+0zZtzRqsfFR0tx6xZ7pDJgDVr0tGmjRVJpigCej2gVkMURcRcj0FYQhi2ntuKmj41\nEVovFPMD56Ose1mJf5psnp7Am29qMWaMFqdPy+HvbyoJuycTEZETYIJMTsVVaseEW7cAuRzm+vWL\n5oEyWc56tw+7ckXA+++7Izpagdmzs9Cvn97q1d80ixfj7r3r+LxnmVw72+0K3WX15h1CUhLEypVR\nmMzW2xswGPZCEPKOC3lsLNTffYfMZcsK/Bwqflzl/YKkxbggKTBBJrIDsWxZpB46VKjEsDAyMrLr\njL/7To0xY3RYsiQDHh7W3ZucmT3ZLla2GUt+PIuMzmNyT7azll4Pr549kbF6NUwtWjz+uihK9vcj\nP3HCYX/XRETkergOMjmVIv3Ur9UCmZn2az+/hM0OzzabgfXrVfD398G//8qxd28qZs7U5pscp+vT\nsf70evTf2h/+a/1xPPk4BvX7EOXqtMBCXUe0qNDCtuQYgOrnn2GuVcticqzasAFuU6da3VZ+cSGP\nj4epUSOb+kfFH0cJyRLGBUmBI8hUYrm/+SaMbdpAP3JkkT9bfvIkPMaNQ+pff0ky8imKwN69Csyd\n6wZBAFatSkdAwJPrjK2ZbKcffhWqtWth6N7dtg7p9dB8+ikyVq60+LKpTh1oPv8cWba1mid5XBwM\nPXtK1BoREZV0HEEmpxIVFVVkzzIEB0O1fXuRPe9hpsaNAVGE4q+/CtyG/PhxqNaswaFDcvTu7Ymp\nU90xfrwWf/yRlmdyLIoiDl87jGmR09BoVSN8cugTBFQKQMzwGKwLWYd+dfvlWolC37s3FAcOQLh6\n1aa+qX76Cea6dWHy97f4uqlxY8iuXIGQkmJVe0+MC1HkCHIJVZTvF1R8MC5IChxBphLHbdYsaCdO\nhCEoCB6vvQbh1i2IZe2zEkOeBAG60aOh/u47GAv4deC5dzbgvTuTcTzVE1OnZmHIEH2eWywn3s3e\n2c7myXaentC+8QZk167BVLmydR3T6eD26adIX70672uUShhbtoT88GEYu3a1rt08CElJ2SttFPW/\nIRERuSxBFEWHbEMVERGBli1bOuLRVILJLl2CV1AQ7sXHA0olPEaMgKFzZ+iHD5fsGYqoKBibNQO8\nvJ58YWoqfJo3R+pff0GsVMnq9v/5R4aFM3TYtwd4/T01Ro41Q6N5/LoHk+3Czvy3s11ovVDbJ9vZ\nSq+HMiIChuDgJ16mmTcPMJuhfeedwj3PbM7+kFO+fOHaISIilxUbG4ugoCCrr2eJBZUoyq1bYejV\nK3t/YwD6kBCofv1VugeYTPAYPhxCRkb+13p7Q9+3L9Rr11rVdFKSgMmT3dGtmxcaXf4Dx99eg1df\nz50cW5psN6vdLJwadQrzAucVaLKdzVSqfJNjADAGBEB+9mzhnyeTMTkmIiJJMUEmp2Lv2jHVli3Q\n9+mTc2zo1g3mUqWyZ7lJQH7iBMQKFSBWrGjV9brRoyHms8TErVsC3nnHDR06eMPXV8SRHw/j3btv\nQTVuCIDsyXbhF8Lx8s6X0XhVY2w5twWDGw5G/Oh4rOi2Ap2rd85z22dHMnbqhIzvv7fqWtYUkiWM\nC7KEcUFScL7fmkR2Ijt/HrLr12F85pn/Tnp6IvObbyR7hmL/fhgCA62+3tygAXQNGlh8LTUVWLZM\ng5Ur1ejXT4+//05FxYoiNJ9sh/bVV3E4NR5hh4tuZzvJWbtjCRERURFjgkxOxZ7rVyp//RX6kJA8\nt2OW5Bl790I3apTV16emAklJMiQlyXDlSvb/r17N/v+pU3J062bAnj1pqF7dDOD+ZLv2Bmw6/TNk\n4T/ZvLNdccV1TckSxgVZwrggKTBBphJDN2GCdbXBBaXXQ3H4MDK++y7X6StXBPz1lzInAX7w/6Qk\nAUajgCpVzKhSxQw/v+z/t2tnhJ+fGbVrm+DnJyI5MxlfHcs92e7bHt/Zf7LdI4SrV+HxyitI37bt\n8bWbMzOh2r4d+kGDiqw/AACDIfsDD0ejiYhIQkyQyalERUXZ79O/UgnR19c+bQMQMjKQ9eabuZ4R\nFaXA6NEeaN/eiOrVTWjUyIRu3Qw5ybCvr2hxn5B0fTp2nN+BsK1hiLkeg+BawZjVbhYCqwY6rJ5Y\nrFQJsps3ofj779xlKgDUq1dDER1ttwQ5r7hQbtsG5R9/SFomQ8WHXd8vqNhiXJAUmCATSUQsSpfx\n7AAAIABJREFUVQq6SZNyjteuVeGjj9zw7bcZCAw05nu/wajH3ot/Yv25jXnubOdQggDd8OFQrV2b\nO0HOyIDmyy+RHhZWoGZlZ85kT2wsVcrmexVxcTDXqVOg5xIREeWF30uSU3HYp35RhPv48UB6eqGb\nMpmAd991wxdfaLBjR9oTk+OHd7bb1LcGzn8244k72zmafuBAKHftgnD3bs459apVMPr7Z+8OWABu\nH38M5a5dT7wmr7iQx8VxB70SjKOEZAnjgqTABJnyl5YGaLWO7oV9CQJkyclQhocXqpn0dGDYMA+c\nOCHHH3+koXZts8XrEu8mYn70fLRe2xoTwiegnHs5dBn7KaYc88CYpqMfW4nCbdYsKArZNymIpUvD\n2LUrVBs2ZJ/IyIBm2TJkTZ9e4DaNAQFQREcX6F5uMU1ERPbABJny5TlqFJQREUXyLHusXymPjYVw\n716+1+lDQqDavr3Az7lyRUCPHl4oV05EWFg6SpXKvbZy9mS7rxC0Lgi9NvVCmj4NK7uvxMFhBzHV\nfyrK9hgAQa+H/ODBXPcJV65A9csvMDnJzpO6l16CPD4eAKAKC4OxXTuYGzYscHvGgAAoHvmZH2Up\nLoSUFAipqTBXrVrgZ1PxxvVuyRLGBUmBCTLly5oExmmJIjzGjIHs33/zvdTQsyeUe/YAmZk2PyYm\nRo7nnvPGwIF6fP55JlSq7PM27Wwnk0E3ahQ0K1fmaluzdCn0w4ZBLFPG5n7Zg7F9e2QuWQIA0A8f\njoz7fy4oU+PGkCUl5SrbsIbs4kUYW7XiChZERCQ5/mahfBnbti3wV+C2krp2TH7sGCCTwdSsWb7X\nimXKwNiihc2j5Zs3K/FiCLD47cuYMEEHo7ngO9vpBw+GIiICwo0bAADh2jWoNm6EdsIEm/pUZGQy\nwNu7cG0oFDC2bAn54cN5XmIpLkzNmiF9y5bCPZuKNdaakiWMC5ICV7GgfBlbtsz+Sj0zE3B3nglj\n1sjZWtrK9YL1ISFQ7tgBw/PP53utKAKLFmnw0w8KhAsdkNz+XUyL3Fqone1EHx/oxo+H7PJlmCpU\ngOaLL6AfNAhi+fJWt1Ec6QcOBJRKR3eDiIgIAEeQKS8GQ07drujmDlODBlAcPWr3x0paOyaKUG7d\nmp0gW0k/cCAyFy/O9zqtFhg71gO/7TThrdCXkVL9BMbvnYRy7uWwK3QXdg3YhTHNxhRo22ft1Kkw\ntW4NIHttZe3EiTa3UdzoBw+GsVOnPF9nTSFZwrggSxgXJAWOIJNFyt9/h3rtWuycvA2jR3vg3Tbv\nYeSdO47ulk3khw8D7u4wN2jw2Gv37gmIjlagbFkzKlQwo0IFMXsA08Mj33bjL97G4BfdkOZ+EMrQ\ncWj2lxeq9BqGg8PmS76zXWYh63uJiIjIdkyQySL16tX4uf5sTBnlgfffz8Knn/bExRN6vN1La221\nQoFIWTsm+voia86cx8orrlwR0L+/F8qUMSMrS8CNGzLcuiXAx0fMSZYrVDCjYsX//uxdJgNx2t3Y\nfmo/jiydiYZd/sanb8vwbLUYlP6+PTKmDIKpCLd9LmlYU0iWMC7IEsYFSYEJMj1Gdu4cvjzSAYvO\nPYvNm9PRuHH29siDBnni6lUZPv88s1iUi5rr1oW5bt1c5+LjZRgwwAvjx2sxfrwu57zJBNy+LeD6\ndRlu3Mj+/9VrIvYcuY5TF27jxnUByswukBv64cuPMzF4QBcA2ZPohORkmJo0KdKfraQTkpMBkwli\npUqO7goREbkg1iBTLmYzMHtsKr5Rv4adO7OTYwAoW1bEtm1puHNHwMCBnkhLs8/z7Vk79vffCvTp\n44U5czJzJccAIJcD5cuLaNLECN/GB3Cy6iR8V6om7gYNwaSP9+H0gVK4ek6FyxeyMHjAfyPFYvny\nSNuzJ7sBsptH40K9di00X3/toN6Qs2CtKVnCuCApMEGmHDodMG6MGjFxnvjf5puoWjX3LnAeHsAP\nP2SgRg0zevXywvXrxaek4NdflRgxwgNff52Bfv0Mj73+6M52lWW+2F93cf6T7eRymGvUsG/nSwq9\nHpq5c7OXB8kHd9AjIiJ7YoJc3JhMcB837r+d4fR6SZpNTQUGDvSEPsOEbdMj4NPUz+J1CgWweHEm\nQkIM6N7dCwkJ0oaQPWrHVq1SYcYMd4SFpaNjR2PO+SftbDe51nDUHT0ZMDyeTJOdKJVQr1tncVOX\nR+NCHhcHUyF27yPXwFpTsoRxQVJgglzMKH//HfLz5yHe35zBc9AgKAq5DfS1awJ69vRC3bomrPrZ\nCNlb4y1faDBA9cMPEATgrbe0mDZNi5AQL0RHO1l5gTl75FsUgXnzNFi+XIMdO9LQrJnJ6p3tRD8/\nmGvUgOKvvxz8w5QggmDdro1abfY60XXqFE2/iIioxGGCXJyIIjRLl0L7+us5KzPoRo6E2+zZ2bPM\nCiAhQYbu3b3Qr58eCxdmPbmUVqGA29y5EK5cAQAMGaLH8uUZGDbME9u3SzNrT4raMfcpUyBs2IxJ\nk9yxe7cS23+7g3PYZfPOdvqQEKi2by90f8h6eSXID8eFPCEBplq1kLOfN5VYrDUlSxgXJAUmyMWI\nIjoawt27MPTsmXPO0KsX4OUF1fr1NrcXHS1HSIgXZs7UYtIkXf7LtwlC9rbTDyUwQUFGbNyYjpkz\n3fH112qb+yA5vR6GbeEYsq4/4s+nodnUSej4a0N8cugTBFQKQMzwGKwLWYd+dfvBXfnkXQEN93fV\ny+vDh3D3rj1+ghLNqhHkrCwYevQomg4REVGJxAS5GFEvXQrta6/lXjFBEJA5Zw7c5s3L3graSr/9\npsTw4Z5YsSIDgwZZX8ds9Pd/LIFp1syE//0vDatWqfHee24PKhwKpLC1Y+fWbUZH7RbsS9uDlL6B\nqFzGu8A725lr1IC5UiUooqMff1EU4R0QkDOaTtIwNW4MWVLSYx8+Ho4LU9u20L79dlF3jZwQa03J\nEsYFSYEJcnGRmgrZtWvQDxz42Esmf38YW7eG5quvrGrqu+/UmD49e9Ja5873J61ZOdnP2LatxYSx\nWjUz/ve/NBw6pMDYsR7Q6SzcbCcPJtt1WP4i+s7oiMq1z2HrWh8cGhmFqf5TUdO3ZoHb1k6fnlPv\n/TDZ6dMQvbwg+lmezEgFpFAgffVqiMVhoW0iInJZhU6QR40ahQoVKqDJQxsl3LlzB127dkXdunXR\nrVs3pKSkFPYx5O2NtD//BNzcAACXLskQGanA/v0KHDigQGTvjxHt/iyOHZPj1Ck54uNlSEiQ4fx5\nGS5ckOHKFQFXrwqYO1eDr75S50xaAwCIIry6dIE8Li7fbpiaNoX833+zl714ROnSIrZsSYNeD4SG\neiI52fZl4KytHXt0st3eI7dxfWkYJuNHrF3XHK0qtZBk22dDcLDFTUCU+/bB2KFDodunxxmDggBP\nz1znWFNIljAuyBLGBUmh0DvpjRw5EhMnTsTw4cNzzi1YsABdu3bFtGnTsHDhQixYsAALFiwo7KPo\nfsJ38aIMzz3nhfr1TTCZsktkjcanYDY/BeO6B8cCzGbAaMx9XLeuCTt3pqFMmf/WmpUfPAhBq7Vu\n2SyVCpkffQTBYICl1Wrd3IDVqzPw/vtuaN3aB2XKmNGihQnNmxvRsqUJTZsaYWFA1ioGkwGRlyOx\n4cwGhF8IR0DFdniu7GgMFDfgnRmlsODVcxh+Ih4ZRbC7mmLfPuj79bP7c4iIiKjoCaJoxar8+bhw\n4QKef/55nDx5EgBQv3597N27FxUqVMD169fRsWNHnDlzJtc9ERERaNmyZWEfXeJkZADBwV4YMkSP\nV16Rpo7Bfdw4mJo1g258Hsu7FZDZDCQmynD0qAJHj8px9KgCcXFyVKliRosWxpzEuUkTE9zzmC9n\nMIj4PTYO6w/EYP+Ja/BMb4Yymf7Q36qGpMsqeHuLqFnThGnTtLnWOLYroxE+tWsj9dAhiOXLF80z\niYiIqMBiY2MRFBRk9fWFHkG25MaNG6hQoQIAoEKFCrhx44Y9HlPiiCLw+useaNLEhHHjpEmOhVu3\noNy1C1l2GOGXyYC6dc2oW1ePB6XTRiNw5ow8J2Fev16FhAQ5atUyoUULE556yoSkJBnizmpxOtGI\ne8lekHvVhF/1SniugQ+aNvdArVpm1KypQ/XqmY9+E18khBs3YOzYkcmxA8hjYyFqNDBzkxAiIrIj\nuyTIDxMEQZJaUAKWLlXj4kUZfvstLf8l2ayk+vlnGHr2hFiqlDQN5kOhABo3NqFxYxOGDcueGKjT\nAXFxcuw7mIVNkcdx1/cY0p86juCBdfBS+2fh79cMguBxv4UinP2XB7FKFWSsWePobpQoUVFRaN++\nPdSrV8PYqhX0TJAJ/8UF0cMYFyQFuyTID0orKlasiGvXrqF8HiNt48ePR7Vq1QAAPj4+aNKkSU5Q\nPyiyL8nHMoMB3T7/HOk//oglq67iiy+aY+/edGg0+dyv0+HyBx/gYvfuaH9/Ille1weJInSjRzvs\n523u3xw7/tmBb058g7Pms/B/3h/vd5gA+aW6kAtyBFRt7hT/HhfmzoVHUhLK3V8pxNH9cfXj0ytW\nwG/PHniFhQFATvlWcHw8dEOHOrx/PHaO4wecpT88do7jB+8XztIfHjvu/SEqKgqXLl0CAIwZMwa2\nsEsN8rRp01CmTBlMnz4dCxYsQEpKymOT9FiDnD/VDz9AtX07ji/YhOBgL6xdm462ba3YMc9kglen\nTtBOmQJDSIj9O2qjRyfbta3cFqH1QxFcMzjfzTscRX7qFDyGDUNqbCwkG76nPAlXrsA7KAj3zpz5\n7+/bZIJv9epIiY9HgWd6EhFRiWRrDXKhl3kbPHgwnn76aSQkJKBq1apYvXo1ZsyYgfDwcNStWxd7\n9uzBjBkzCvuYksdshubLL3FzzGQMHeqJmTOzrEuOAUAuR9b778Ptgw+sXt/YVvLjx+E2Z47V14ui\niMPXDmNa5DQ0WtWoQDvb5UURGQnlzp0FutdapkaNALkc8hMn7Pocyib6+QFKJWT//ptzTvbvvzCX\nLcvkmIiI7E5R2AZ++eUXi+d3795d2KZLNOXOnTB5eGHsD13Rtq0RI0falugaO3eGuXp1qNesgW7s\nWMn7Zy5TBqqffkLWe+89cUQ18W4iwhLCsDFhI+SCHKH1Q7ErdFeem3dERdlYO6bTwW3BAuhGjLDx\nJ7CRIMDw/PNQbt8OU7Nm9n0WAfhv22l9rVqIiopCpzt3sj+oEN1n8/sFlQiMC5JCoRNksg/N0qV4\nv/q3uHlNhpXfpRWojawPPoBn377QDRok+aib6OcHUaOB7Px5mGvXzvVacmYyNp/djLAzYUhKT0Lf\nun2xsvtKNC/fXNoJm3o9PEaOhLlCBej795eu3bweFxIC76Ag6F5/HaKPj92fV9LlJMiDBwNA9r+z\nhZ0kiYiIpMYE2QkJd+9im747Vh9uht2706BWF6wdU6NGMHTpAtWOHTlJBoDs9eIkSFQfbDutr10b\n6fp07Di/A2EJYYi5HoPgWsGY1W4WAqsGQiGzPsys/tRvMMBjzBhAJkPGypXZy2PYmal5c+hGjICo\nUtn9WZQdX6offwSQHRcmAFYWGVEJwVFCsoRxQVJgguyEziSXwStXZuOXX9JRsWLh5lBmfv45oFTm\nOqf87Tco9u9H1scfF6ptfZvWuLV7M6aW3Zsz2W5ww8FY23Ot3Sfbuc2cCUGnQ/ratY/9fHYjCMj8\n9NOieRbB1Lgx0sLDHd0NIiIqgQo9SY+kde+egKFDPTF7dhZatZJgvMxC8qhetQqmNm0K1NzDk+16\nXVsA2cFoySbbAY8v35QX3YQJSP/+exR4eJ2cn0yW8+9rbVxQycK4IEsYFyQFjiA7EZMJePllDwQF\nGfDii/ZZfUJ2/jzkcXHQ27j8m6XJdq9O+AO+w+QYU9PyhDt7MjvgmURERFQyMEF2IvPmaaDVAnPn\nZtntGeo1a6AfMsSqkVdrJtuZy0jbP9aOkSWMC7KEcUGWMC5ICkyQncSWLUps3KhCRESa/Upqs7Kg\n+uknpEVE5HmJVJPtJCXRpEIqvlQbNsBUuzZM3FyIiIiKAGuQ7cFkW+1wXJwc06a6YbPQD2XdM+zU\nKUB+9ixMrVo9Vp5gMBkQfiEcL+98GY1XNcaWc1swuOFgxI+Ox4puK9C5euciS44fqx0TRbi9/TZU\nGzYUyfPJ+Qi3bsG4YAGElBRHd4WcDGtNyRLGBUmBI8h24DZ3LhT79sHQowf0PXrA3KCBxRFQUQQi\nIhSYMsUdizptQ1MokOFuv9UfTM2aIT0s7P6zRcRcj0FYQhi2ntuKmj41EVovFPMD56Ose1m79cEm\nogi32bOhiI6Glrsxlliajz+G5sIFpHCTECIiKiJMkO0g6513oIiOhnLHDngOHgzI5TD06AHt+PEQ\nK1eGwQBs3arC0qVqmM0C3ns7DS/NeQ3peexKKCVbd7azitkM6HSAm1uh+5dTOyaK0Hz0ERSRkUjf\nto0bc5Rg5urVAQBi+fIO7gk5G9aakiWMC5ICE2R7UChgbN8exvbtkTVvHuRxcVDu2IGMLBnWfqXG\n8uVq1KhhxnvvZaFLFyPUv/wMU716MDVtapfu2HtnO81HHwHu7tC+9ZYEvb3f5scfQ/W//yFt+3aI\npUpJ1i4VP/qhQ7M/ILEOnYiIiggTZCmkpQGenpZ/gQsCrldogm9NrbG6uxpPP23EqlUZaN36fp2y\n0Qj3GTOyN7yQUFFOtjO1bAn1mjWStBUVFYUOjRpBER2NtC1bIJaReJkMKnZEHx/sqVEDHBOiR0VF\nRXG0kB7DuCApMEGWgMf48TCEhEAfGprr/L//yrBsmRqbNqnQp48BO3em4amnzLmuEe7dg/aVV2B8\n9tlC98NgMiDyciQ2nNlQpDvbGQMC4D5hQvbkRLm80O2JpUohfcsWCXpGREREZDtBFMXC7WVcQBER\nEWhZBEs2yWNi4D55MtL27s3emUtistOn4dWnD+7FxgL3J9gdOybH0qUa7NunwIgROowdq0P58vb5\na85rsl3vOr2LdLKdd0AAMr77DqbGjYvsmURERETWiI2NRVBQkNXXu/wIsvzff6GIi4Nq/XroBw+W\nvH3NkiXQvvIK4O6OuDg5Zs1yQ2KiHOPHa7FkSQa8vCR/JAA7TbYrBGNAABTR0UyQiYiIqNhz+XWQ\n9aGhSN29G24ffADh3j1J25ZduADl7t3QjRqFy5dlCA31REiIHrGx9zB+vE7y5Dg5MxlfHfsKQeuC\n0GtTL6Tp07Cy+0ocHHYQU/2nOiw5BgBDYCCEW7cKdvNDX2Jw/UqyhHFBljAuyBLGBUnB5UeQgexJ\nZIZu3aBZsABZ8+dL1q7miy+gGzkSqfDGoEGemDhRi1Gj9JK1DzjpznYWGPr3h6GA92o+/xyiuzt0\n48ZJ2iciIiKignD5GuQHhNu34TFuXPZawxLt5axavRpZwc9j4Gs1UKOGCYsWZUmyEpWlyXah9UMR\nXDPYrpPtHEEeEwPPF19EakQERD8/R3eHiIiIXBBrkPMglimD9I0bJW1TN2Ikpk1xhyAACxYULjku\nFjvbSS0tDR7jxiFz0SImx0REROQ0XL4G2Z5WrFAjOlqB775Lh6KAHzUS7yZifvR8tF7bGhPCJ6Cc\neznsCt2FXQN2YUyzMa6bHANwnz4dxg4dYAgJyTnH2jGyhHFBljAuyBLGBUnBZUeQZQkJkCcmwtCz\np13a//13JZYt02DnzjR4e9t2r713tisOlNu3Q3HkCFL37HF0V4iIiIhycdkaZM28eRD0emS9/77k\nbR87JkdoqCfWr09Hy5Ymq+6xNNkutF6o0022KyzFH3/A2LYt8v3UkJoK2c2bMD/1VNF0jIiIiEos\n1iDfp9yz54nJsXD3LoT0dJirVrWp3WtRF/DiuKZYvDgz3+TYUTvbOZJm2TJoBQHGrl2ffKG3N8y2\nDr0TERERFQGXrEEWbt2CLDERRn//PK9RbdoE94kTc63Bm5+0WzoM6avCKy9cQkiI5UXNRFHE4WuH\nMS1yGhqtaoRPDn2CgEoBiBkeg3Uh69Cvbj+XTY6B+xuGHDxY4PtZO0aWMC7IEsYFWcK4ICm45Aiy\n8s8/YezQAVCp8rxGN2IEVGvWQLltGwy9e+fbptEIjHshE60qXMJrH7V97HVn29nOUYxt20Lz6aeO\n7gYRERFRgblkgqyIiIAhvzoThQJZH38Mj3HjcK9LF8DT84mXvzNLDf0/V/HxRlnOcm6cbPc4Y+vW\nUBw/Duj1uT+gpKZmH2s0T7y/ffv2du4hFUeMC7KEcUGWMC5ICi6ZIOuHDYOpTp18rzM+/TQM7dpB\n89ln0L77bp7XffutGpG/6hDV/ENktvkWO06vd/qd7RzG2xumWrUgP34cpjZtss+JIjxefx2mZs2g\nnTzZsf0jIiIiyodL1iAbn3kGYvnyVl2bNWcO1D/8AOHmTYuv//GHAosXq7FB2QtfdcpA41WNseXc\nFgxuOBjxo+OxotsKdK7emcnxQ7QTJ0L08Mg5Vv30E2SJidC++mq+97J2jCxhXJAljAuyhHFBUijx\nWZ1YqRJSDxyAWKZM7vOiiPWRZ/Dm2CbQDOmJ1fKbqNJtDGLqrnLpzTukYOjfP+fPsnPn4DZnDtK2\nb8+3vIKIiIjIGbjsOsgF9WCy3bpD+3Dt883o+epevPdyvRI32U4Sej28nnsOumHDoB81ytG9ISIi\nohKK6yAXQHJmMtaf2oaf/zyOq4kVUS0zBMaTczD1VRFTp3Z3dPeKLdXmzTBXrgz9yJGO7goRERGR\n1VwrQRZFwIrVI+7eFXD4qB5hexMRFZOBm/9UhnBnEvxqZKJHKw2atjejxUQDAgKs2yWPLNMPHAj9\nCy9Y9W/yQFRUFGcg02MYF2QJ44IsYVyQFFwqQXafNAmGZ5+FoW/fnHMGAxARocTx43IcPyHDkWNG\n3L0rg1jhNCrXvonnOpXC4A/KoXnjDKjVAJAFmEyAXO6wn8NlCALg5uboXhARERHZxHVqkEURPo0a\nIe2332CuVevBKUye7Ia/Dunh2TAK/2g2o0a9u3ixfVv0rdfb4mQ7xe7dUK9ejYyffoLy119h6NKF\nSR4RERFRMVZia5DlcXEQ3d1zkuPEu4mY+ckV7PujIapOGogezXugf93x+U62M3boAPe334bm00+h\n/vZb3IuNLYruExEREZGTcJl1kBUREUgNbIevjn2FoHVB6LZwAf7+pTNWfX8Hh1/eg6n+U61biUKt\nRub8+XD78MPsdXs5elykuH4lWcK4IEsYF2QJ44KkUOwT5HR9OtafXo+z65ZgrHkzjicfx5iq86Dc\nGoZf1sjQs019m7d9NgYFIePLL6Hj0mREREREJU6xrEE2mAyIvByJDWc2IPxCOJ4p74+f555C5p/7\nYJSXRffu3njpJR3GjtVJ3GsiIiIiKm5ctgZZFEXEXI9BWEIYtp7bipo+NRFaLxTzA+ejrHtZiH1E\nqEUBY1/yQKtWRrz8MpNjIiIiIrKd3Uosdu7cifr166NOnTpYuHBhgdtJvJuI+dHz0Xpta0wIn4By\n7uWwK3QXdg3YhTHNxvy3EoUgYOFCDW7dkmHRokxblt4lJ8LaMbKEcUGWMC7IEsYFScEuI8gmkwmv\nvfYadu/ejSpVqqBNmzYICQlBgwYNrLo/OTMZm89uRtiZMCSlJ6Fv3b5Y2X0lmpdvnmc98datSvzy\niwq7d6fdX8+YiIiIiMh2dkmQDx06hNq1a6NGjRoAgEGDBmHbtm1PTJDT9enYcX4HwhLCEHM9BsG1\ngjGr3SwEVg2EQvbkbp48KcfUqe7YuDEd5cs7pKSaJMLdj8gSxgVZwrggSxgXJAW7JMhJSUmoWrVq\nzrGfnx8OHjz42HWPTrZrW7ktBjccjLU918Jd6W7Vs27eFDB0qAcWLsxEs2bcGpqIiIiICscuNcjW\nLqvWaFUjfHLoEwRUCkDM8BisC1mHfnX7WZ0c6/XAyOd1CA1JR9++hsJ0mZwEa8fIEsYFWcK4IEsY\nFyQFu4wgV6lSBZcvX845vnz5Mvz8/B67LuBUABpVaoRb/9xC2N9haNKkSc5XIw8C/EnHK5Y2RJnz\nCXh7V2NERR3P93oeO//xA87SHx47x/HJkyedqj88do7jB5ylPzx2jmO+X/D4gaioKFy6dAkAMGbM\nGNjCLusgG41G1KtXDxEREahcuTL8/f3xyy+/5KpBLsw6yACwapUKKz83IspvAGS/r5Oi20RERETk\ngpxiHWSFQoEvv/wSzz33HEwmE0aPHm31ChbWiIpSYOFCN/zZ8R24NWwHrnhMRERERFKx2zrIwcHB\nSEhIQGJiImbOnClZuxcvyjBmjAe+/joD9WPWwWjDpwFyfo9+dUoEMC7IMsYFWcK4ICnYLUG2h/R0\n4MUXPTBpkhadq52FkJUFU6NGju4WEREREbkQu9QgW6MgNchvvukOvR744otMyK4mQXHkCAwhIXbq\nIRERERG5AqeoQbaX6dOz4OsrQhAAsUoVGKpUcXSXiIiIiMjFFKsSiwoVRG4j7eJYO0aWMC7IEsYF\nWcK4ICkUqwSZiIiIiMjeilUNMhERERGRrWytQeYIMhERERHRQ4pdgiy7fBmeffo4uhtkJ6wdI0sY\nF2QJ44IsYVyQFIpdgqzYvRvm8uUd3Q0iIiIiclHFLkFWRkTA2KWLo7tBdtK+fXtHd4GcEOOCLGFc\nkCWMC5JC8UqQ9Xoo9++HoVMnR/eEiIiIiFxUsUqQFQcPwlSnDsSyZR3dFbIT1o6RJYwLsoRxQZYw\nLkgKxStBPnQIhs6dHd0NIiIiInJhxW8dZIMBUCql7xARERERuSTXXweZyTERERER2VHxS5DJpbF2\njCxhXJAljAuyhHFBUmCCTERERET0kOJXg0xEREREZAPXr0EmIiIiIrIjJsjkVFg7RpYwLsgSxgVZ\nwrggKTBBJiIiIiJ6CGuQiYiIiMilsQaZiIiIiKgQmCCTU2HtGFnCuCBLGBdkCeOCpMDycWy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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 20
},
{
"cell_type": "markdown",
@@ -916,8 +1278,17 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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2diM/96P5BRA3333nUaNG7PaAxGjSxJyL3gCYi7MEomL2yV4mZPf99x7l5dH8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\nU04J6u9/5xL/ZBSJ7L3QbcQ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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 21
},
{
"cell_type": "markdown",
@@ -936,8 +1307,17 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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sTEd+zkfzCyDufPCBT4WFUp8+zI6aoqSk9GK3Ll3IDEDF0PwiLGafzEV2JxYM\nSo8/nqjhwwts/fY5+f3cmjUe1a8fVO3a9tqV40TIzmzk53w2fukHgOhbsMAnj0fq2ZMVRJOYMvIA\nwP5ofhEWs0/mIrtfK131TdIDDxTI5bK6mvDI7+cyM83Z4ozszEZ+zkfzCyBuzJ3rU1JSSD16mNFE\nodT337u0fbtbHTqw8gug4mh+ERazT+Yiu58LBKQnnkjSAw/k237VVyK/4334oU9du5bYdmeOXyI7\ns5Gf89H8AogLs2f7VLVqSBkZrB6aZuFCn3r2LLK6DAAO4QqFQjG9dDYzM1Pp6emxPAUAhBUISB07\nVtPjjx/hoinDHDkiNWtWXRs2HFL16vbf6QGAtbKyspSRkRH2Maz8AnC8GTP8qlEjpEsvpfE1zSef\n+HTBBSU0vgCihuYXYTH7ZC6yKxUMSk8/naihQ82Y9T2K/Ep98IFPv/+9WRcokp3ZyM/5aH4BONqC\nBT5VqRJi3MFAwWDpxW7syQwgmmh+ERb7HZqL7KRQSHrmmUTdc4/99/X9JfKTsrI8Ou20kM45J2h1\nKeVCdmYjP+ej+QXgWEuWeFVQ4GLl0FDz5/vVqxe7PACILppfhMXsk7nIrnTV969/LZDbwFe6eM8v\nFJLmzPHpD38w7weXeM/OdOTnfAZ+SwCAU1u1yqM9e9zq3ZuVQxOtX++R2y2df37A6lIAOAzNL8Ji\n9slc8Z7d008n6S9/KZDXa3UlkYn3/ObM8esPfygyblZbIjvTkZ/z0fwCcJz16z366iuP/vQnVn1N\nZPLIAwD7o/lFWMw+mSues3vuuUQNHlyghASrK4lcPOe3YYNHktSqlZkjD/GcnROQn/PR/AJwlOxs\nt5Yt8+rGGwutLgUROrrqa+LIAwD7c4VCoZjeMzIzM1Pp6emxPAUAHDN8eJL8funRR/OtLgURCIWk\ndu2q6bXX8nTBBWau/AKwTlZWljIyMsI+xtBLQQDg1w4edGnaNL8+/TTH6lIQoQ0bPAoGpdataXwB\nxAZjDwiL2SdzxWN2b7zh1+9+V6y6dWP6hlaliMf8JGn6dL+uvtrMXR6OitfsnIL8nI+VXwCOUFQk\nvfxyoqZNy7W6FEQoEJBmzvRr9uzDVpcCwMFY+UVY7HdornjLbuZMv5o2DTjmpgjxlp8kffKJV2ee\nGVTTpkGrS6mQeMzOScjP+Wh+ARgvFJLGj0/QnXcWWF0KKuDoyAMAxBLNL8Ji9slc8ZTd0qVehUIu\nZWSUWF2R0siOAAAgAElEQVRK1MRTfpJ05Ij0wQc+9eljfvMbb9k5Dfk5H80vAOO9/HKCbr+9wOiL\npOLdBx/41LZtQLVrm3+xIgB7Y59fAEbbscOtHj2qasOGQ0pKsroaROr666uoT59iXXut+Su/AKxT\nln1+WfkFYLRXX01Qv35FNL4G27/fpVWrvLrsMhpfALFH84uwmH0yVzxkl5cnvfuuXwMHOu9WxvGQ\n31H/+lfp/swpKVZXEh3xlJ0TkZ/z0fwCMNb06X516FCiBg3M3hornoVC0pQpfvXvz6ovgMpB84uw\n2O/QXE7PLhQqvanFLbc4b9VXcn5+R61b51FenksXX+ycnTriJTunIj/no/kFYKQVK7wKhaRLLnFO\n0xSPpkwpndl2890IQCXh5QZhMftkLqdn9/LLCbrlFudub+b0/KTSvX1nzfLp+uudtXofD9k5Gfk5\nX4Wb34ULF6pZs2Zq0qSJnnjiiWjUBABhffutSytWeNkWy3Dz5/vVtm1A9eqxty+AylOh5jcQCGjI\nkCFauHChNm/erHfeeUf//ve/o1UbbIDZJ3M5ObspUxL0xz8WOWZ3gBNxcn5HTZ3qV79+zlr1leIj\nOycjP+erUPP7xRdfqHHjxjr77LPl8/l0/fXXa86cOdGqDQB+JRCQ3norQTfe6OxV3+XLvVaXEFM7\ndri1ebNHPXsWW10KgDhToeb322+/Vf369Y8d16tXT99++22Fi4J9MPtkLqdml5npVZ06QZ1/fsDq\nUmLq7bf3WF1CTL39tl9XX12khASrK4k+pz734gX5OV+FlhZcZbzSZPDgwWrQoIEkKTU1VS1btjz2\ntsLR/2Qc2/N448aNtqqHY46ffvpC3XST2zb1RPt448bTdehQG7377rmSvlbLlgd0xx3NbVNfNI7b\nt++kKVMS9NBDH2v58lzL64n28VF2qYdj8nPy8dHfZ2dnS5IGDRqkU3GFQqGIrzRYtWqVHnnkES1c\nuFCSNGbMGLndbt1///3HHpOZman09PRITwEAx+zZ41KnTtW0YcMhR8/7StLjjyfqgQcKrC4jJmbP\n9unVVxM0f36u1aUAcJisrCxlZGSEfUyFxh7atWunrVu3aufOnSoqKtK0adN05ZVXVuRLAsBJTZ2a\noN69nXMb3Hj1+usJjrwlNQAzVKj59Xq9Gj9+vH73u9+pRYsWuu6669S8efNo1QYb+OXbQDCH07Ir\nvdDNr5tuio+mKTV1rdUlxMTXX7v19dceXX65cy90c9pzL96Qn/N5K/oFevbsqZ49e0ajFgA4qSVL\nvDrjjJBatXL2hW5HtWx5wOoSYuL11xN0ww2F8vutrgRAvKrQzG9ZMPMLIBpuuqmKunQp1oABzt7i\nzMny8qRWrVL18cc53NgCQEzEfOYXACrDjz+69PHHXvXu7dy3yuPBjBl+tW9fQuMLwFI0vwiL2Sdz\nOSm7mTP96tatRKmp8dM0OSk/SQqFpEmT4uNCN6dlF2/Iz/lofgHY3rvv+nX99c5vmpzsyy89yslx\nqWvXEqtLARDnaH4R1tHNpGEep2S3ZYtbe/a41aVLfDVNTsnvqIkTE3XLLYVyx8F3HadlF2/Iz/ni\n4GUIgMnefTdB11xTJI/H6koQqd27XVq61Kt+/Vi9B2A9ml+ExeyTuZyQXSAgTZ8enyMPTsjvqNde\nS9R11xWpWjWrK6kcTsouHpGf81V4n18AiJVly7yqUyeo5s2DVpeCCOXlSVOm+PXRR4etLgUAJLHy\ni1Ng9slcTsju3XcTdP318bmvrxPyk6T33vProotKdM458fMDjFOyi1fk53w0vwBsKS9P+ugjn3r3\njs/m1wmCwdIL3W6/Pf7GVgDYF80vwmL2yVymZ7dwoU+/+U2JataMn719j2d6flLpLakTE0Pq2DG+\ndupwQnbxjPycj+YXgC3NnOlXnz6s+prs6Kqvy2V1JQDw/1yhUCimyyqZmZlKT0+P5SkAOMzBgy61\nbp2qjRsPxs0OAU6zebNbV19dVWvXHlJCgtXVAIgXWVlZysjICPsYVn4B2M6CBT799rfFNL4Ge+65\nRN12WwGNLwDboflFWMw+mcvk7GbMYOTB5Py++catxYt9uvnm+LzQzeTsQH7xgOYXgK388INLWVke\n9ehRbHUpiNCECQnq3z9+bmoBwCzc5AJhsd+huUzNbu5cv3r0KFZystWVWMvU/A4ccOm99/xauTLH\n6lIsY2p2KEV+zsfKLwBbmTXLpz59WPU11SuvJOiKK4pVp058blEHwP5ofhEWs0/mMjG7fftc2rTJ\no0svpfk1Mb+8PGnSpAT9z/8UWF2KpUzMDv+P/JyP5heAbXzwgU8ZGSVKTLS6EkRiypQEXXRRiRo3\njp9bGQMwD80vwmL2yVwmZrdggV+9esX3Lg9HmZZfcbH0wgsJuuuu+F71lczLDj9Hfs5H8wvAFnJy\npFWrvOrWjZEHE02b5lfDhkG1bRuwuhQACIvmF2Ex+2Qu07JbtMinjh25scVRJuVXUiI9/XSihg1j\n1VcyKzv8Gvk5H80vAFuYN8+vXr1Y9TXRv/7lV716QXXoUGJ1KQBwSq5QKBTT/WgyMzOVnp4ey1MA\nMFx+vtSsWXWtWXNINWuyRZZJAgHpoouq6emnj6hzZ5pfANbKyspSRkZG2Mew8gvAcsuW+dSqVQmN\nr4FmzfLpjDOC6tSJxheAGWh+ERazT+YyKbsPP/SpZ09GHo5nQn6BgDRuXJKGDSuQy2V1NfZhQnY4\nOfJzPppfAJYKhUovduvRg+bXNHPn+pSaGtJvf8uqLwBz0PwiLPY7NJcp2X31lUeJiSE1asSNEY5n\n9/yCwdJV36FD81n1/QW7Z4fwyM/5aH4BWGrRIp+6dy+mgTLMnDk+JSWFlJHBqi8As9D8Iixmn8xl\nSnaLFnnVvTsjD79k5/xKSqQxY5I0YgSrvidi5+xwauTnfDS/ACzz008uffWVVxdfzOqhSaZN86t2\n7aAuvZTcAJjHa3UBsDdmn8xlQnZLlnh18cXFSky0uhL7sWt+hYXSk08m6qWX8lj1PQm7ZoeyIT/n\nY+UXgGUWL/Yx8mCYN99M0LnnBnXRRQGrSwGAiND8Iixmn8xl9+yCQWnJEp+6deOt8xOxY35HjkjP\nPJOoESPyrS7F1uyYHcqO/JyP5heAJf79b4+qVg2pfn22ODPFq68m6De/KVHr1qz6AjAXM78Ii9kn\nc9k9u48/9uqSS1j1PRm75ZeTI40fn6h58w5bXYrt2S07lA/5OR8rvwAs8cknXl1yCfO+phg/PlHd\nuhXr3HNZqQdgNppfhMXsk7nsnF1xsfTZZz517szK78nYKb/vvnPptdcSNHx4gdWlGMFO2aH8yM/5\naH4BVLqsLI/OPjug008PWV0KymDMmCT171/EfDYAR2DmF2Ex+2QuO2f3ySc+5n1PwS75bd7s1sKF\nPq1enWN1KcawS3aIDPk5Hyu/ACod877mePTRZP31rwVKTWWVHoAz0PwiLGafzGXX7PLzpXXrvOrQ\ngZXfcOyQ3yefeLV1q1t//nOh1aUYxQ7ZIXLk53w0vwAq1dq1Xp17bkApKVZXgnCCQWnkyCT97W/5\n8vutrgYAoofmF2Ex+2Quu2a3apVX7duz6nsqVuc3Y4ZfHo/UuzfjKeVldXaoGPJzPppfAJXq88+9\nuugiml87y8+X/vGPRP397/lyuayuBgCii+YXYTH7ZC47ZhcMSqtXe1j5LQMr85swIVEXXBBQx47k\nFAk7PvdQduTnfBE3v9OnT9d5550nj8ejrKysaNYEwKG2bHHrtNNCqlWLnQPs6ttvXXrxxQT9/e/5\nVpcCADERcfPbsmVLzZo1S5dcckk064HNMPtkLjtm98UXzPuWlVX5PfJIsgYOLNRZZ3FDi0jZ8bmH\nsiM/54v4JhfNmjWLZh0A4sDnn9P82tmqVR599plXzz6bZ3UpABAzzPwiLGafzGXH7Gh+y66y8wsE\npOHDk/XII0dUpUqlntpx7PjcQ9mRn/OFXfnt3r279u7d+6uPjx49WldccUWZTzJ48GA1aNBAkpSa\nmqqWLVsee1vh6H8yju15vHHjRlvVw7G5xz/95NL33wf1ww+fqHlz6+vh+OfHb7/tV1FRjmrXXiHJ\n+npMPj7KLvVwTH5OPj76++zsbEnSoEGDdCquUChUoStPunTpoqeeekrp6ekn/PPMzMyT/hmA+LF0\nqVfjxiVqwYJcq0vBL+TkSO3bp+qdd3J1wQUBq8sBgIhlZWUpIyMj7GOiMvZQwf4ZQBxYv95DY2VT\nTzyRpG7diskHQFyIuPmdNWuW6tevr1WrVqlXr17q2bNnNOuCTfzybSCYw27ZrVvnpbkqh8rK76uv\nPJo+3a+RI9naLFrs9txD+ZCf83kj/cTevXurd+/e0awFgIOtX+/Rgw/SYNlJMCjdc0+yHnwwXzVr\n8g4egPjAbg8I6+hgOcxjp+x++smlAwfcatyYvWPLqjLymzLFr2BQuvHGopifK57Y6bmH8iM/54t4\n5RcAymr9eo9atSqRmx+3bePAAZdGjUrS9Om55AIgrvCSh7CYfTKXnbLbsMGjVq2Y9y2PWOc3cmSS\n+vQpIpcYsNNzD+VHfs7Hyi+AmNuyxaMOHUqsLgP/Z9Uqj5Yu9emzzw5ZXQoAVDpWfhEWs0/mslN2\nX3/tUbNmrDCWR6zyKy6W7r23iv7xjyOqVi0mp4h7dnruofzIz/lofgHEVDAo/ec/Hp17Ls2vHUyY\nkKA6dYK66qpiq0sBAEvQ/CIsZp/MZZfsdu92KzU1xCpjOcUiv23b3Bo/PlHPPHNELlfUvzz+j12e\ne4gM+TkfzS+AmNqyxc2qrw0Eg9JddyXrvvsK1KABW84BiF80vwiL2Sdz2SW7LVuY941EtPN74w2/\niotduuWWwqh+XfyaXZ57iAz5OR+7PQCIqa+/9qh9e3Z6sNLu3S6NHp2kefMOy+OxuhoAsBYrvwiL\n2Sdz2SW7bds8atKEt9nLK1r5hULSffcl65ZbCtWsGTlUBrs89xAZ8nM+Vn4BxFR2tltnncXYg1Vm\nzvTpm288evPNPKtLAQBbcIVCoVAsT5CZman09PRYngKATR05IjVuXF27dx/kFroW2L/fpU6dqmnq\n1Fy1bcsPIACcLysrSxkZGWEfw7cjADGTne1W/fpBGl8LhELSPfck6/rri2h8AeA4fEtCWMw+mcsO\n2WVnu9lWK0IVze+99/zavt2j4cPzo1QRysoOzz1Ejvycj5lfADGzc6eHeV8L7N7t0kMPJelf/8pV\nQoLV1QCAvbDyi7DY79Bcdshu1y63zjqLld9IRJpfKCT95S9VdOuthWrVih88rGCH5x4iR37OR/ML\nIGZ27y6d+UXlmTQpQTk5Lt19d4HVpQCALdH8Iixmn8xlh+z27XOrdu2YbijjWJHkt327W2PGJOqF\nF/LkZajNMnZ47iFy5Od8NL8AYmbfPpfOOIOV38pQUiINHlxF991XoKZN+TcHgJNhn18AMdOgQXVt\n2nRQ1apZXYnzPf54oj7/3KsZM3LZWg5A3CrLPr+8MQYgJvLySlcjq1a1uhLn++wzr954I0FLl+bQ\n+ALAKfAyibCYfTKX1dn98INbZ5wRlMtlaRnGKmt+Bw+6dNttyfrnP/NUpw7z1XZg9XMPFUN+zkfz\nCyAm9u1zqVYtmrFYCoWku+5K1mWXFatHjxKrywEAIzD2gLDY79BcVmf3449unX46F15Fqiz5vfGG\nXzt2uPXSS3mVUBHKyurnHiqG/JyP5hdATOTmMu8bS1u2uDVqVJLmzz+sxESrqwEAczD2gLCYfTKX\n1dnl5rpUpQpjD5EKl19+vnTLLVX00EP5OvdcVtftxurnHiqG/JyP5hdATND8xs6wYck699ygbrih\nyOpSAMA4jD0gLGafzGV1dnl5LqWk0PxG6mT5vfWWX6tXe7V4cQ47adiU1c89VAz5OR/NL4CYyMtz\nqWZN3pKPpg0bPPr730vnfFNSrK4GAMzE2APCYvbJXFZnl5fnUpUqlpZgtF/md+iQSwMGVNETTxxh\nztfmrH7uoWLIz/lofgHERHGx5PMx9hANwaA0eHCyevQoVp8+xVaXAwBGY+wBYTH7ZC6yM9vx+T3/\nfIJ++MGt119nP18T8NwzG/k5H80vANjY0qVeTZyYqEWLcuT3W10NAJiPsQeExeyTucjObMuXL9f2\n7W7dfnsVTZqUp3r1GCExBc89s5Gf89H8AoAN5eV51bdvioYPz1eHDiVWlwMAjkHzi7CYfTIX2Zkr\nEJAmTeqm3/62WAMGcCML0/DcMxv5OR/NL4CY8HqlEhYsI/LYY0kqKJBGjcq3uhQAcByaX4TF7JO5\nrM6uatWQcnO5BVl5vfeeX3Pm+HTbbZny+ayuBpGw+rmHiiE/52O3BwAxUbVqSIcP0/yWx6pVHo0Y\nkaQ5cw7rxx/ZzxcAYoHmF2Ex+2Quq7OrWjWk/ft5c6mstm51a8CAFE2cmKcWLYKSeO6ZyurnHiqG\n/JyP70wAYiIlhZXfstq3z6XrrkvRiBH5yshgUBoAYonmF2Ex+2Quq7OrWjWknBya31PJy5P69k3R\n1VcX6YYb/n9nB6vzQ+TIzmzk53w0vwBiomZNxh5OJRCQbrmlipo2DWj48AKrywGAuMDML8Ji9slc\nVmdXr15Qu3fT/J5MKCQ98ECS8vNdmjw5T65fLJJbnR8iR3ZmIz/no/kFEBNnnhnUvn0ulZSU7vmL\nn3v88UR9/rlX8+cflt9vdTUAED8iXpYZOnSomjdvrtatW6tPnz46dOhQNOuCTTD7ZC6rs/P5Skcf\n9u5l7veXJkxI0OzZfs2Ykatq1U78GKvzQ+TIzmzk53wRN789evTQV199pfXr16tp06YaM2ZMNOsC\n4AB16zL68EtvvunXyy8naMaMwzrjjJDV5QBA3In4u1L37t3ldpd+evv27bV79+6oFQX7YPbJXHbI\nrn79oHbt8lhdhm3MnOnTE08kaebMXNWrF77xtUN+iAzZmY38nC8qSzKTJk3SZZddFo0vBcBBzjsv\noE2baH4l6aOPvHrwwWRNn35YjRoFrS4HAOJW2Oa3e/fuatmy5a9+zZs379hjRo0aJb/fr759+8a8\nWFQ+Zp/MZYfsWrYsofmVtHixV0OGVNHUqbn/d/e2U7NDfogM2ZmN/Jwv7DXYixYtCvvJkydP1vvv\nv6/MzMywjxs8eLAaNGggSUpNTVXLli2Pva1w9D8Zx/Y83rhxo63q4dis4/z8z5SVdalCIcnlsr4e\nK45Xr66liRMv1NSpucrP/1jLl9urPo6jf3yUXerhmPycfHz099nZ2ZKkQYMG6VRcoVAooisuFi5c\nqHvvvVcff/yxatasedLHZWZmKj09PZJTAHCAZs1StXhxzilnXJ1o/nyf7r03We+8k6v09IDV5QCA\n42VlZSkjIyPsYyKe+f2f//kf5ebmqnv37mrTpo0GDx4c6ZcC4GCtWgW0dq3X6jIq3ezZPt13X7Le\ne4/GFwDsJOLmd+vWrdq1a5fWrl2rtWvX6oUXXohmXbCJX74NBHPYJbtLLinWsmU+q8uoVDNm+DR8\neLL+9a9ctW4dWeNrl/xQfmRnNvJzPjbgBBBTXbsWa8kSryIbsDLPK68k6OGHkzVjxmGdfz4rvgBg\nNxHP/JYVM79AfAuFpPPPT9Xcuc7e4isUkkaNStTcuX5Nn56rs85y7t8VAOwqpjO/AFAWLpd06aXF\nWrLEuaMPxcXSkCHJWrbMp/ffP0zjCwA2RvOLsJh9Mpedsrv88mLNmuXM5jcvT+rXL0X797s1Z85h\n1awZnTfT7JQfyofszEZ+zkfzCyDmunUr1o4dHm3d6qyXnD17XLryyqqqVSuoKVNyVaWK1RUBAE7F\nWd+JEHVHN5OGeeyUnc8nXXttkd5+O8HqUqLmiy886t69mq68skjPP39EvigvbNspP5QP2ZmN/JyP\n5hdApejXr1DvvutXcbHVlVTcW2/51b9/ip59Nk933VUol8vqigAAZUXzi7CYfTKX3bJr2jSoc88N\naNo0v9WlRKy4WLr//iSNH5+oBQsOq3v3kpidy275oezIzmzk53w0vwAqzfDh+XryyUQVFlpdSfl9\n841bV15ZVTt3erRoUY6aNGFHBwAwEc0vwmL2yVx2zK59+4BatAho8mSzZn9nz/YpI6OqevYs0jvv\n5Kpatdif0475oWzIzmzk53xeqwsAEF9GjCjQNdek6JprilSjhr1v+5aXJw0fnqyVK72aNi1Xbdpw\nxzYAMB0rvwiL2Sdz2TW7li0D6tOnSH/9a7Ktb3m8erVHXbtWUyAgLV2aU+mNr13zw6mRndnIz/lo\nfgFUuocfztfWrR69+679Ln7LyZGGDk3STTel6IEH8jVhwhFVrWp1VQCAaKH5RVjMPpnLztklJkov\nv5ynhx9O0ubN9ngZCoWkuXN96tAhVcXFLq1cmaPeva3bl83O+SE8sjMb+TkfM78ALHH++QE9/vgR\nXXNNVc2Zc1iNG1u3e8LmzW79/e9J2rH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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 22
},
{
"cell_type": "markdown",
@@ -1018,8 +1398,25 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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fvgQFBeXeSJ+QdevWUb9+fSZNmkRYWBh6vR4ljRUaP//8M15eXixbtoywsDCG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\nXC28oKr21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r1abDZo3tz1dgzp6bBsmQeBgSq//JKU6f3uBkWB995L5aGHrHTr5sfzz5t4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\nYyWVVatWERIS4nC73AxGCCGEEEKIuyXPM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+ "text": [
+ ""
+ ]
+ },
+ {
+ "metadata": {},
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RtToseBsg114WV8DspcX8pcX8bRUXC/DxqacwLS+H8Y9kuF1Jxy8Dl2N42DW0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3+73c6sWbP45JNPiIqKOoOrCm3x4sUUFhby97//nT/96U/Mnj2bXbt28c477wT93N/+9jc++ugj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\nTkSuQmCC\n",
+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 23
},
{
"cell_type": "markdown",
@@ -1061,8 +1458,223 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "html": [
+ "\n",
+ "\n"
+ ],
+ "metadata": {},
+ "output_type": "pyout",
+ "prompt_number": 24,
+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 24
}
],
"metadata": {}
diff --git a/g-h_filter.ipynb b/g-h_filter.ipynb
index 6f9892b..01139bb 100644
--- a/g-h_filter.ipynb
+++ b/g-h_filter.ipynb
@@ -1,7 +1,7 @@
{
"metadata": {
"name": "",
- "signature": "sha256:9ab8aab8c1f9fc795707c579ec0d6653fce8590a5adb3a019b0b88bc8101642b"
+ "signature": "sha256:5d2660e0f612f8eba9585339a1f5ee844e45a59b1f388e4115e04a587c67b011"
},
"nbformat": 3,
"nbformat_minor": 0,
@@ -27,26 +27,223 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- " toggle input"
- ]
+ "outputs": [
+ {
+ "html": [
+ "\n",
+ "\n"
+ ],
+ "metadata": {},
+ "output_type": "pyout",
+ "prompt_number": 1,
+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 1
},
{
"cell_type": "markdown",
@@ -129,8 +326,25 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stderr",
+ "text": [
+ "/usr/local/anaconda/lib/python2.7/site-packages/matplotlib/font_manager.py:1236: UserWarning: findfont: Font family ['monospace'] not found. Falling back to Bitstream Vera Sans\n",
+ " (prop.get_family(), self.defaultFamily[fontext]))\n"
+ ]
+ },
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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VjVocyNdg46kK/GNPPoaFuGNMpBdGhHnAxcFW7lIBAB16Ca/vKcC91wchxNNJ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\nzvRR/XFLHnOgUqmwaEwYSurb8J9001x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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 2
},
{
"cell_type": "markdown",
@@ -153,8 +367,17 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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0+Nvf/LB/fw5XwMitrl1TYPduDXbs0CI1VY1WrQoRFlaIrl0LUbmydH+YLVni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\n2xkOBKSsrCj95S9e/elP14I0GQAAAIaKId0ZPnb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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 3
},
{
"cell_type": "markdown",
@@ -178,8 +401,17 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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ERPS3KVOCERVlYyHsJV262PD000a89poOX3+twscfm1C1agn34/4eiaYxGKD6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\nERERUfmQzcywIAAdO/pg8mQTm2EiIiIiemQuNTO8fr0GCgXQvTsbYSI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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 4
},
{
"cell_type": "markdown",
@@ -207,8 +439,17 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 5
},
{
"cell_type": "markdown",
@@ -233,8 +474,17 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 6
},
{
"cell_type": "markdown",
@@ -278,8 +528,17 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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LjIOgF7Dv3D60qd0G2lZaLO+3HLXVtct/vr59kRMfD/W8efDu2xcFK1fC2Lu3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\nH/+1awl+/HEq772Xisceg4AAs0sSEREf4/EV4ya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MzEyAS74ueuwx/jNiBFe1bVun79e1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\nAAAASUVORK5CYII=\n",
+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 7
},
{
"cell_type": "markdown",
@@ -317,8 +576,17 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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p/qKXK5CfT/iTT5I/daqa4gpOM8biFXx6ZlCumurC+4W++iq2nj1x3HlnmV2z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\nRCGQAAAAAElFTkSuQmCC\n",
+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 8
},
{
"cell_type": "markdown",
@@ -397,8 +665,17 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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AXoq/6OUK5OcT/tRT5E+Zoqa4gtOMsXgFn54ZlKumuvB+oa+9hq1HDxx33llm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\n8H9kqhi4ATS9ZgAAAABJRU5ErkJggg==\n",
+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 9
},
{
"cell_type": "markdown",
@@ -438,7 +715,7 @@
"language": "python",
"metadata": {},
"outputs": [],
- "prompt_number": ""
+ "prompt_number": 10
},
{
"cell_type": "markdown",
@@ -459,8 +736,17 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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N3Bb0KdHRJk7nqRfvLstdWOpLd2fjbd0a2549kJ9/xu2C//1vXKNHQ1jYmY8X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\nndHU/zbQt7x/v8GhLVnYMjPZ7WzBnj0nC+HZs520aeOjTp1AS0VMjEl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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 11
},
{
"cell_type": "markdown",
@@ -486,8 +772,17 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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moLZW/0mHis3GyHnnxZ+RDvHrhmak/fF3uz2TMUtLdZtsyMAArgsumLCM9FBH\nN5aqWbi6IxxzAeUKA9EzI/3RX/oZcOVzwScm8fjjeVFrqIOce9KZpIR0XV0dCxcuBKC4uJizzz6b\nY8eOsWHDBlatWgXAqlWrWL9+PQAvvvgiK1euJCcnh/r6embPns22bduS/ApCtqGEeSxnVEba14gh\n5+WXJ3zfgpDSeEvMaSUlKZWRBih22aibW8KnPz3MzJna6VrSiVbZCLB2KApcd90wz24uYoq5i3s/\n74inQ/TYGB4GpxPXwoWeSXxxEEtI+9/X1+cR0CaTbpMNFbudkYsumpCMtMUCO17t46E/zGP4RC87\nd5qC3+Br3242j/qsni3Cn/6xg1NaFaDwne8UcPCgOGkzFd3+skeOHGHHjh1cfPHFdHV1UVtbC0Bt\nbS1dXV0AdHR0MHXqVP9npk6dyrFjx/QagqADaeHTGhxEC2jIAgZ2N7TbGb72WnL+9CddNpcW8c9g\n9Iq/un8/Spaf25T+fo8gU9XTNoIoTyAn8tj3WU58aDU1oKoox48ntr0Qq0BODjQuNEN5GSWOk0mP\nd9T+vBlj1+zZmA4f9ty0xEDt7sYdWP4uxNrhi7/S2+ufIKentcM1axaMjKCcOJH09qJx4ICJro97\naWU6OQzzq/8O8ac7HGGz0aDf9wU4I+8U3XjibTIRszuknPvTF12EdH9/P5/5zGf4yU9+QklJSdA6\nRVFQlMgTLaKtE4RwhMtIuysqDKnaoTgcDF9zDeY9e8a9k5mQPuT/9KfkjXNDjlTHZ+sAPNm/ggJi\nPt+eIILGBqAoSXU4VOx2wqWd3XV1qAmK86j7842/qAh3VRVqe3vsz4Q0B4nU2dBfQxr9rA5Kfz9a\nYaEuNbtjUVioMYlTnKKaXsqZXdUdPJaQhl4hH9bNI33HNV0oleXMmePil78coKFBbKyZyuhnG2Nk\neHiYz3zmM9x1113cdNNNgCcLffz4cerq6ujs7KSmpgaAKVOm0NbW5v9se3s7U6ZMCbvd1atXM336\ndADKyspYsGCB/47N5yWSZf2XA31aqTCecMsdhw7hqKnhDO84t27dyhnHj7PA65GeyPEodjsfdXQw\nbcECyl55haE778z4+Gfysl7xP7+lhUpvUiGVvt9ELl9RUYFWWupfvq68HNVq5c1du8K+3/faRIzv\n3JYWqhoagtYv84q8t4qKcLlcY9re8r4+vzgLXK9NnszezZvp6uvTdfylBw/ySe+NgKW6mkPr19Pw\nL/8S8f0QRRiyAAAgAElEQVSmwUFWaBoUFp5ev3AhSl/fqPh/tHUrDYAJj5A+fvAgu7duTWq819hs\nUFyMa948Wv/wBw6ZzeP297Xb3+eCaV1MKirD1VHOlefsYetWt3/9e2+9xeKABF7g54dzC3F02Hhj\ns42LLiqlpCTx8VxV0I1pcRk//ecdDA+fwmy+OOr7fa+lyu83k5d3796N1Ttno7W1lXvvvZdkUDQt\n8dZLmqaxatUqqqqqeOihh/yv33///VRVVbFmzRqampro7e2lqamJ5uZm7rjjDrZt28axY8dYunQp\nBw4cGJWV3rx5M+edd17i30pImK0BJ8xUpfArX2Fk/nyGPv95/2vmLVvIf/hh+l94YULHUnzddTj/\n9V9R29rIeeklBp59NqntpUP8Mxm94l/8qU/hnjEDu46lEdMN8zvvUPCtb9HntT2VXHYZ9scew7Vg\nQdj3T+SxX7RqFUM338ywN/kD0PPj3zCw/g3+dOcvWL58hBkz4ssgdnfDjPnT+NbfH+KKv8nn/PNP\n2ywK/+VfGFm0iKG779Z1/Oa33iL/u9+l/w9/oOCBB3BPn87g6tUR36+0t1N6zTVYAzPumkZ5TQ29\nnZ1gNvvjn7NhA7m//z0DTz9N7rp1mF97DfvPfpbUeMtrauhtbyf3+ecxv/su9kcfTWp7sSibP59T\n6/9E5T98Hvt3voPr4ov969SDBym+/XZs778f9BlNg7e+v4PJTQ9wMdtYs8bBF7/oTNjfnvff/426\nfz+O738/rvfLud84tm/fzpIlSxL+fFLWjrfffptnn32WLVu2sGjRIhYtWsTGjRt54IEH+POf/0xD\nQwOvvfYaDzzwAACNjY3cdtttNDY2smLFCh577DGxdqQYafFDHhyEUI+0kZMNCwoYXr6cnDffTPqx\nYFrEP4PRK/6KxZJSk+vGSt7DD2N6772ktjHKhxyjcsdEHvuKzYZWVuZftlgU/nXdBbCrmTVrivjG\nN/LjLlbxykYzpkE7D/6kkptuKmHv3tOXVffkyagdHXoPn+FTNmxKKXv2qAzVz8YUY8Kh2tMT5I8G\nQFE8DVe8Pmlf/JXeXn9sdPEMDw15ZmDm5iZlnxkLSk8POXUVYY+5SKXvenvh8WerKMLzfb/73XyO\nH09cnygWS5CVJhZy7k9fzMl8ePHixRHL17366qthX1+7di1r165NZrdClhPO42bUZENf2SutooKR\nhQvJeeMNhlesmPBxZAV2u2fGTqxZOymAOsaLaKqRu2EDec88g+3NN/3VKMZKqA85lSp3hArpvj6F\n9S0LeJID5DLIe+/lYLcrFBXFfmC7+wM3I5hxYWZgALq7T4svd10d5u3bdR378DDs2mKn8+1qVl1e\nyvovns21LS9G/UxoV0Mfvsodgceq3kJasdvRvGldfwOZkZGwVTN0wW73TGotKkIL1/E2Qum7/Hyo\nPTOf4naPj3/KFHdS1VaU3l7c9fWJb0BIG6QeixBEoF8rZYnUkMWgOtIUFQEwvGJF0mXw0iL+RjA8\nTMmKFeQ+//y47kav+Cs9PYYcj3rhyyYXfO97iW/DZsMdIFZjtQmfyGM/NFteXe3ms/cpHGYmc9nL\nF77gpLw8PtfjjctsOPDcbJxzzgjTp59OLrnPOAO1s1PXsZ88qbDpdw6slKFpCg/88hyUlugZ6YjZ\n0YASeL74KzZb8GTDZCeI9vefnohZVOTJ0utUdz8c/jJ/ioI7zJNKZXAwbHvwggL40v81UZU/wJ13\nOvnNb/qpq0u8/ndoucFYyLk/fREhLaQd4R7NaaWlnsxJHGWgdMVr7QAYvu46cjZtmvgxZAF5jz6K\nefdu1HSojGK3ozidhlSR0Qulp4eBRx4h97nnMO3cmdg20igjXVQEX/uag9LFZ/PUl//K5z43GPeD\nj0vO6SO/soD/+Z8+nn66n2nTTosvra4u4ZJ6kcjLg6klvf4W56bpkzE5BiBKC3bVYhlt7cBz3iSk\nlnRQ1Y7iYn0y0sXF/mVXY+O42jvUnh7c3puGsJY/p3NUIsbHjMZ8ihjgkUcczJ+fXJUN1WLxj0PI\nbERIC0GkhU9raGiURxpVxV1cwpGdtmjXE93xNWQBcM+YgXvSpKS8pWkR/wlGPXiQ3If/i71X3cOR\nnTZOnRq/eRV6xF+xWDyPzFNENI4ZTUOxWnHPmYPjW9+i8Itf9PgJxkhYIZ0KHmnv9wsqfwdUVUHF\nHUuZt+0ZQqq4RsU05MRcks9VV40wfXpwBnM8yt9VVWl8ZukppjYWcdNNQ/zsv+24Z8+K2uEwUkY6\nsASeL/5qQB1pPTobKgMDDOcU+v3GrnnzxrUEntLdjea9aQgnpBWn05/8GEVBgeeJpw7JkNByg7GQ\nc3/6IkJaSDvCtQjft0+lbaCKW5e5+Pa3C+jujvBhPXG7R/nthlesIFen5iwC4HaT+49f4qeVa3lo\ny4W89ZKdn/88L6WT/mpPD67p0z0X5KEho4czdvr6PMd0Tg5Dt92GNnky+T/5yZg3M0pIl5eHrVs8\n4Tidng4ZYbKSQ7fcgtrZifmtt+LfXrQGH9XVnu88OJjoaMNSnWPl1nvzefLJAc4+241rzpzYQjpc\nRjpMd0PFatXVI/3x+052HijjyitLef1187jXkg68aQg7wTVKRhpV9YhpPWpnj9HaIaQvIqSFINLC\npxWmIcv//m8uJ0cqqKSHJ5/MZ+9eU4QP64jvAqqe/hl1L74O1wt/Yu9eNaFuw2kR/wkk95lncA04\n+dKhL9FLOeX08sILuaFPo3VDj/j7LqBGVZJJFtVq9T/aR1EY+NGPyP3pz2h7pYUTJ+J/GjBWa8dE\nHfvhstF+zGacX/sa+U1NcbcLD3wqNQpVRaupQfV299UL33fwFb1yz5kTtVV4JFEX2N3Q75HWcbKh\nxaLwsx+5sAwVceKEyt13F9E5af64WzuiZqSjNWRBvyY0qnikswYR0kLaES4jXVqqYaGSCnoALWLC\nQddxhFxAe3vh/710KT3tDr5wRQdvvTVOs9KzBKWzk4L/+A8s3/0Jl37S7RfSn/rUEAGWy4Qwbd+O\n6a9/1WegIfgyYlpFRVpOOAxsEQ3QxjQemfT/GFj5JW6/tZBDh+IT02MtfzdRhPqjQxm65RbUEycw\nv/lmfNuLUE7Nh3vyZBSdS+CF3qS4Zs/G1NIS8f1qdzfuSFU7Qp4SKIE3Uvn5HlvPyEjCYy10DzBA\nkX95cEo9qsUS1dOdDErAdw07CT3MZPVAtMLC5Ev+DQ+D3R75hk3IKERIC0GkhU9raGjUifBv/maY\n4qllnF1ziocestPYOP7P/n2l73wcPary5C8K+AufYN7wTn70o7FbENIi/hNE4Zo1DN59NyWfaOTR\nR+380//N5fwzu7nvvsGkK2flPfMMuS+OLhmmR/x7DvSwv6eablc53QeMF45jRenpOS2kgN27TXyl\nZTXTacW6+xjbtsUX/HAZ6WgTMCfq2FesVrRoJmizGef991PQ1MSpk7B9u4n9+6NcKu32iNYOGB+f\ndGhs3Q0NUWtJKz09UcvfQfg60iiKxyedYIa2slLjC39nwV1QRHW1m1/+coAp0xRcZ501bvaOUGtH\n6DGnOBxRb3woLEw6I+2fsKnGL7Hk3J++iJAW0o5w5YtmzHCzaEkJ/7q6g7vuGkqq/mfc2O1BNXaL\nizWKijS6qGUSJ5k7141pAhwmmYh5yxZM+/bh/OpXAZg+3c3lnyqmXLEyaVLiJal8mHbtGhe/bk8P\nbHquj/Vv1fHeoUms/+UATqfuuxlXAqs2gEcjaqg008hc9sb9NGCU2Isx2XCiiJWRBhj69Kdxnezh\n2bv/wtKlpVx9dSnbtoX/MStOZ2RrB+NTAk/p6wvOSJ95JuqRIxEzxxE90gHWDs8LWnBGmuRL4M2q\n7WP5zTm8+aaNq67yjG88JxwqAdaOsMdcGGtgIFphYfITLMUfnVWIkBaCSAufVoSC+kp1BUVDvWNJ\nAiSF4nCgFZ1+ZDlrlsbvf99H+Zwqrrugg3/4h7FPMEqL+E8Apn37GL7qqqAnD3qVT9OGhlE/2oOj\nwzrqiUGy8bfZFPqP9tBNFT1UcHS7jb6+9OreGiqkFy0a4ZvftHOi4izuu/wjLrwwvsf8Y63akRIe\naR8mE3tvXcO173wH0BgYUHj66fB2ACXC+cjHuGWkA28GCgpw19SgtraGfX+kUmxaaB1pu93TKCXw\nd5fshEO7nYJJRUE1mZ0N8xh4p5m2Nv1/G2qotSNc1Y5o1g4dPNKhT3XiQc796YsIaSHtiFRQXysr\nm1BP6qDFTr+rkO3bTf4ExsUXu/j0P5RxVWMnM2YkV4c0mwkVYeDNnlmtcU8Ci8R7Tx9EHR7iwzcH\nePnlHCI0Z02IigqNhdNPcopqLFRy1cJTlJUln0EPJeeFF1D37tV9uwB9rVZa+yrZvt3E8DCUl8M/\n/dMgK740nWtnNlNbG+ckvJCsabp4pH30X3cT5Vi5hlcAmD07gk8rxOIVijZ5MoreGekwvw/37Nnh\nJxwODnr+C2NnCfVIB9k6fO9JUkgrAwNBGXu7HV48vJD9/7OXyy8v5f339X1sF2RjKSry+JUDqqbE\n8rRrOlg7VIslrCddyExESAtBpIVPK8KjuYlsEz48DG+9Msxfd5ewdGkJv/pVnv9crVVXoyTYOCQt\n4j8BhM0a5uV52oMncZE7cUJh439+TDNnU6pZ+cd/LKKz83RWLNn4l5bCeTNOcs//V8DSW4u4fP6J\nUSXP9SD/v/+bnDfe0H27x48rvPrbfn61oZbly0t47TWPH1pRIGfBHMwHIpdYC8Ll8vydAn0ghYWe\n+Q0RSgJOmEc6jAgNx9x5Cv1fvZ+flP07a+63c8st4ccdtS4x45CRHhrynIBC7CS9dQ0c/MNB3n3X\nFGQnCuz0F0qoRzqw9J3/PToL6SNHVL70iwtYwG6sVoXvfCdf13KWQe3QFWV0VjrGEwT0yEgnYO2Q\nc3/6IkJaSC9GRjwZyTCzzSay3Fh3t8KG50e8s9EV/uM/Cjh50nOhcldXo548OSHjyFQiZQ1j2QNi\nYTZrLNJ2sIWrKKeX4mJNdx97wYCFRUvLqF9USuHQOGRgNQ1Tc7PuvluAY8dU+ttt9FCB263w1FOn\nn/y45syJOqEtEKWvz9PNLtBnpShJ//30IJxYDIeqwuyv38Dsqm7WXvsuU6dGyMTHsnZMnqzr30qx\n2TyTJQOEcWenwpNb57Ht2SOsWFHCpk2n2zJGawwS6pFWQ/zRQNJNWRS7PcgCl5MDA7mV2ChlBkep\nrtZ0teOFlp0LTbDELH+nl0dauhpmDSKkhSBS3qcV5aI1kRnpwkKNM2v7sOPJtMye7fIniLRJkxLO\nSKd8/CeISD5Wv70jQSor4cbpH3B45uVUqb08/XR/kHdTlzrS3kfL41X+Tm1vR+nr0731NEB5uUZN\njoUePCLgkktO+6G1M87wTDqLY5JmxL9flJvdCfNIx5mRBjwdU2fMiPp7Dq3eE4o/I52kJcm/vzDj\n7+xUeaV1HnPZCyj8+tenH4Oo3d1h24NDsLVj69ato0ofQvKTDZWBAY8Y9zJrlptnn+3nUNEC7l74\nHvff7wyXLE+MoSFwOqPXL9ep/J0SpeuX0ts75oy0nPvTFxHSQloRyR8N4C4vR50gj3RpKdx1i5X6\ns/O4914nP//5AJWVngule9IkyUgnSai/1kfSPlu3m7LDu/nK+vMpwcYF54299XUsAhuyjMfxaNqz\nB62oaFwy0rNmubny3FMsvbWI//qvfm6/PcDOoCieesVROuj53xpBrEbMSA8Pc+7DDycz9LiJNyPt\nQysujiqsYlk7KC31ZI916iIULraVlRqnKudwFvsAuPLK0zdA0bKjoZ0Nx8Pagd0eZO1QVVi6dIRz\n7juXry3+Cw0N+k1S8H/XAGUees6IVf4u3smGJcuXo0aoPCIe6exChLQQRMr7tKJlpEtLJ7QFcW3x\nABdemcv3vufgrLMCLgYlJZ7MiMMx5m1OdPzznngC0/btE7rPeIhm7VCTENLqwYO4q6oomFbl8ZiG\nZNqSjv/ICEp/P1pZGe5xshqd2vIxu6qvxNp8nNZW/aselI70cOt9hdxxx/CoiYXusQjpMVhz1EOH\nmP7qq+g68zPa2MbQKEMrLo6ekY3lucWbldbpxifc+Ovr3Tz+YjHleQ6ee7SNW289fQMUqfQdBFs7\nFi9ePKpiC8S+kYg53hBrhw/TJy8kb/u2hLcbdl9hvMnu0FrSMcrfxVVHemQEtbU14m9BsVjGXLUj\n5a+9QkRESAtphTI0hBZh9tZEC2klJNNyeoXimXAY5dFfqpCzaRPmHTuMHsYoIlkDkq1FbNq1C9c5\n5wDjc7z4qx6o6rhYjdraFHY+vY+fHb2O/O4OfvxQnu7aM5yY8uGaMwc12Yx0SEwsFnj1kUMA/ObJ\nkfFqeOdHTSQjHUVIx7J2gL4+6Ug3KY3zNEzz5vA3U7ZTXX36BihqdrSg4PTkRcapakd/f9jz5MgF\nF2Detcu/bz0I911DuxvGU/4ulkda7ehAcblQDx8Ouz5SAxwhMxEhLQSR8j4tpzOyv6242FMpQM8p\n4NFwOIIasgSSqL1jouOv9PSgWCwTus94GLM1IE7Mu3bhOvdc/7ZCs9vJxj8wIzYek1/7+xUaBnfz\nNp8EoOUDR2BlL12IJaSTsnaUl4+6eXn/fTMfPHcEgG+ugR07kmxbmeDYIhGPtSPSecCHnpU7oo1/\n8P/8Hwq//OWgm/ioFSQUxW/v8HmkR4n0JDobgvdGI1wXn9JS3NOmYfroo4S3PWpfYb5rWI90rLrf\nMW56nPvaABhqDi+kQyc8xkPKX3uFiIiQFtKKqDOuVdVTuiiJiTFjGkukjDTJlcCbSJSentTLnPu6\nq42DkDbt2sXIggWAN7utd0Y6pD2x0tur2yQzgDMq7cw2HWYvcznGFL76t4diabix4XZ7/OkRMrbu\nZIV0mDbhvb2Kd5IcFDGA1Tq+DWwUqxX3GDLSFBePsgAFEaMuMXhqSY+ntcPH0O23M3zjjRR99rMw\nOMjHH6t07u6hdaA64mEYaO9QbLbR1o5kPdIDA6NK9fkYuegizNv0s3eEFdIhN7Sx6ki76+s9XSIj\ncOqUwkuPHKeDyez741FaWkbLKKWnJ2wDHCEzESEtBJHyPq1oGWkm1t4R7ZFuohnpiY6/YrFMaBOb\nuHA6PTdF4WqFJ1O1Q9Mwffjh6Yx0mG0lG3+1p+f0o+XcXM930GmSGUBlVwvamfWsf3mQmoW1XNXQ\nNqbPK+3t5PzP/0Reb7N5RE+Y8pLgbUV99GjEVtSB2wlrzQkzWfS881ycm/cxAIvmWFmwYHyfKI05\nIx3j5jwua0ddnW5VVhSr1VP+LgKOf/s3tMpKhu75KtetKKZ5q42v/2AK27eHr/Poy0hH9EgXFiZX\ntSNKwmHkwgsxv/dewtsOJVwmeNRkw1hCesYMTEePRrwB/vhjldatHbzKUqY6DvDHP+YEv0HTErJ2\npPy1V4iICGkhrVCGhqL72yZSSDscETMtaZGRdrlQrFbUFLN2ROs8l0zVDrWtDQoK0GpqPNsah5rG\noRmxZCdHhmJqbkY5Zx6XXOKisGEyuSfHluU079hB/hNPRFwfrvxZEIWFUVtR+7cT7YlCSEZ69iwX\n8837sE+dxQ++eYqZM8dxwmG4RjExiGuyYTzWjgnISAOgqgw8/jjmPXu4z/ZDqjlF58gkmpujCGnv\nOXNcPNIRJhuCJyNt0jkjHdYjPZbyd+XlaCZTRMtbbi7Uc5i3+SSVWKjMCzk27HZPIkDXR0VCKiNC\nWggi5X1aMU6C4/G4PiIOR8RMS6JNWSYy/orViqJpKeeRVqxWhgpK2b9fDerQBuGFWLyYdu1ixDvR\n0L8tvT3S3d1BpcbcOteSNu3Zg6uxEQAtAXGmOBwoJ05EXh/FH+0jnsodY/G4K52dKEUF2CsKqS5I\nrhFGLMI2iolBzMmGMcqpwThMNoyVUS8qYu93f8M/8zAL2E03lcycGT7T77N2bN26NWxDlqSqdrjd\n0eeSzJqFYrejdHQktv0Qwlo7QhuyxJhsCNHtHfPnu1gy+zCOuhl0l9az4qzg34LS0zPmih2QBtde\nISIipIW0ItZjuWQbdoxpLAMDER/pJtOUZaJQenrQzOaUE9IfvjnAR20VXHxxKb/5TW6QmNaSuFEy\nffghLq8/Gsbn6YUa8khX7wmHpuZmRubNAzzibMx2AbsdNZaQjuHtjKdyx1iqdpj278c1Zw6uvLyk\nWzPHYqw1pCEOa4fDEdPaoU2erO9kwzi+w1lL6mh/5FkoKuLh54s4//wIlpmSEr/9SOntHe0fT6az\nod3ueWoX6cZFUXS1d8RV/i6eJwjTp3ssTGEoKoKpI0f5zjNVVF86kyn2g0HrpYZ09iFCWggi5X1a\nsR7LTbC1Q++M9ETGX7FYPJmXFJpsODAAv37UicVdDih87WuFtLefPk0lY8cIrNgB4+ORDn20HFp6\nK1lMzc3+jHQiWU7F4fBkFyMIQ6WnJ6ZIi6dyR1QhHfL7NO3fj3vOHCqmTk2qOkQ8jNUfDTpZO2pr\nPU8CdKhVGO93MJngrDvPZfDIx1yyvDDiEIM80uEy0klYO5SBgYjnSB+uCy/UbcJh2PJ3IeeMaE29\nfLjr6z0+6bAr3agdHZTMmwqzZo4qgRe1SkoUUv7aK0REhLSQVsQ6CU5oLeloHulxzEib3n2XUZ6H\nBFB6e3FPn+7Z1tBQ7A9MACYTnFHUixWPmCsqgpyAuTzJCGnTrl2MBArp8fBI9/QEZXT1bBOunDrl\nsRNNmQIkLqSBiFnpcEIqFPecOagHDkTfT7TydyEZadWbkY63NXMyJJSRLimJXv4uDmsHeXmec5MO\n54RIXT8jYgrvjfbh90gPDXn+C/EzJyWko0w09DFy0UXjmpEedczF0UDHNWNGxIy0cvy45zeen4/r\nzDMxHTo0egxSsSOrECEtBJHyPq1UykhHq9oxjh7poi9/WZcLjy97o6fYS5b8fPi7G05ROLmUc88d\n4fnn+5gx43QWL1Hxqxw/DkNDfhEaaVt61pEGHVqaB+DPRnvbHyfku/UK6Ug+6Xg80klnpEPiYWpp\nwdXQQIfVOv7WjgQy0hQVRS1/F23ScSCD1ZN55/cneOMNc1JNZxL6DlHweaS3bdrkuclQgssPRhXS\nTicll18escJFtImGPkYWLcLU3KxPciBcF8fCQk+VGafT0/xFUSJWpfHhjiKk1dZW3FOnet43M0xG\nurc3oYx0yl97hYiIkBbSiphdqSZaSMeq2qFjDWH/fjs79fE19/QwkF/JSFlFStWSnlzQw5WfKuCP\nf+zjE58I9nX6/75jjKtp925PR8MAkTAuHukQIe2uqEDV6SbF1NyMy+uPBtBqa1FOnoxZii4Qn1BV\nu7rCrld7e2PWv9Vqa1Gczqg3X5Gypn4hHfD3M7W04G5oYCQ/PzU90nFYO2JlpLu7FXadmsqj/2rl\n5ptLWLcufHfWeNBdSHutHTn9/WFvoqJ9f7WrC/NHH0W25PT3x77JKCry3Jx9+OFYhx7MyEj4GuiK\ncjorHUc2GmII6fZ2z5M8PJMlTQfFI53tiJAWgkh1n5YSoytVqlg7yM+H/PwxjyVm/O12VKs16Qzy\nyAgcfLeXX7xQx66OGo5u17cDXzIofX2oFaXhQ5uT4/GjjrGurTmgfrSPcH7dpD3SgXWk0XeyYWDF\nDgByctAqKz1iOt7xORxoZnNka0c8FQcUBVdDQ9QJh5HK35GT4/lt+P5+fX2eBilTpjC1oWFiPNKJ\nCOlIGdmREU9JvdzowvjkSYVd3VOZwjEAnnkmL+H5exFjmyBaSQlYbSycMSt8bAoLPX+XMDeviveG\nLNIxHk9GGk43ZrHZxnRfGLyv3l5PXMJYWXy/w3j80QDuadNQOzrCDsbU2op72jTP+6ZM8SQhvE96\nIHFrR6pfe4XIiJAW0ovBQbQoF61UsXaApynLWEROPPhm/idb+/nIEZWtG/o5OlBNm72a//lZP8PD\neowweWJlDROpzBJa+g7GwSPtLSU4ytqhV0b644+DhTQJ2DscDtzTp0e3dsQhNF3RSuAND3syfxFq\nNQfG3XTgAK5Zs0BVJ84jHaWZSVjy8jwiMtw8Al9pNyV6N8byco2hqjrOwFPmbdmy4XjcIKMZHPQI\ndx1rFB8bKOPDN+18+6tD9BLmJsps9twohLFe+J5shHar9KEMDMQlpPvnX0j77z5gxYpS/v3fC+jo\nGHt3y7C2Di/+ajExGnr5yctDmzQJ9dixUavUtjZc3ow0JpOnwkdAqbzQeRJC5iNCWggi1X1aKZOR\nHhnx/BfNZpJAU5ZY8fcJ6WStHW43VGoWLFRyimqKnJbxcKEkRKxH14k0OTHt2uWxdoRsJ/RYSer4\n7+/3CI6AYyK0hm3CuFyY9u7FdfbZQS+PVUgrdrvnsXUEa0c8kw0BRmbNofsvB9m82czhw8GXEaWv\nzyNWI4jLwL+fz9YBcKCzc2I80mPMSEPkEnixynH6qKvTuP6+am655Ci//GU/9903GEt7h8U//kQ+\nHIahIXjyt9UMHO/n+N4+3tg1iaNHR8uCSD7p7o88N2Sde6JkpOO4Y/iw6BJKPtrGxx+rPP54Plu3\nRvcwh91XlEywVl7ueZLndMYsVegj0oRDNSAjDYyacBiuu2I8pPq1V4iMCGkhvUgVj7TP1hHlgpZo\nm/BoKF7RlKyQnjnTzScbTzKQV8lQSQW3XNkZ6+n0hBFL7LjHmEke7urxlKU788yg1/2ZbZ3uINSe\nnlH+Yr2sHeqRI7irqyHkBmOsTVkUhwN3fX30jHQc2bS9nMXO5w9z660l3HprEUeOnL6UxPr7DZeU\n0/mxla4uxV+xA2BExzrS6r594a0ICdoiIvmE46kh7aP6nFoaio/xqU8NU1ub2DGntz96ZASO9pRR\nio0Kejg5UhY28R7uaUFzs8rv/8vztOV7DzjZty+MnLDbR1UBCUdP6QwA6jkCgM0W5UbBbg8vcC0W\n3JgdZ+MAACAASURBVBEy0m7vDW281g7w+qTDNGVR29v9kw3BO+EwQEgrFkvMeQZCZiFCWggi1X1a\nyuBg7IYsEyCkY9k6ILGMdKz4q52duGbOTFpI5+RAXU43P/xlLrf+fTFn5KXOZMNYYmcsloxDLSNs\nu+6HvOO+hJf+mBdsX8nL8/gpA/yNyRz/Ebuq6WDtGOWP9jLmpiwOhyfTloxHGni17WwatL0AHDpk\nDspiRhN7Fgu0dFVy/33DXH99Mfbtp4V0w6JFunmkS669FnXv3lGvJ5qRprg4vC8/Ste+UNyTJ/tv\nhBNFbyFdWAif/3Ie5YqVCiwsuKyEKVPC1LoO05Tlo49MlDuOM4IJpbeXvXtHe5OV/v64MtKN89wc\nrruES3mHhoYRrrgislE679e/pvDz94zeV0hX0UDGOtkQvEK6tTVkQxpqW1tQRtp95pmYAip3JFq1\nI9WvvUJkREgL6UWKlL+L1ozFR6Il8KKhdnbiamxM2iMNoPb2UH1WBUXTK1Om/B3EZ+2IR0grx49T\nevPNmA4f4kb783zuc0WjsmZ6+qTDPVoe1VUtQUIrdvi3P1ZrhzcjHa1qRzxC+ozL66nnCGaGKSjQ\nqK4+Lb6i/f327jWx42gV5Vg5dMjM8K4DfmuHVlioT0a6rw/VasUcpgpEokI0WWsHgLuuLunuhnoL\naYALlxQyo8LK6pUnmH9ZSVjvdrjvX1OjMZlO9jOHCixMmjRagMdr7Zg8WaPh7kX86JbXWb++nzlz\nwjeuOXRIYc9j75CzYzvb/xh8blVCuooGjd/rkR5TRrq+HlNIRlo5edLzfQL8/64zzxyVkU5ESAvp\niwhpIYhEfVrmt95CaW/XeTSjSZmGLHZ7zExUIk1ZYsXf1X6ck5Pn4TqZvPD1efm0ysqUKn8Xc7Jh\nHLWZzW+/TenVV7Oj8mqu549YqMLtVhgaCqmRG3K8hMbf9OGHcVs/wl7IS0o8WcskZ3IGdjQMxD15\nsqe6QJwovsmGp06N7rLncsHAQFxCbfFSE8M1Z/CDf2jmxRf7aGyMT0jn5kIvZVTQg4kRqmyHcXkt\nNx8eOKCLkPbdWJh27hy1LmGPdKQScGPISGvV1Z5jbXBwzPv3MR5CmtISzPY+Rk7txTwpfGzCVS65\n8MIRLp7RgaP+LD53YxeLFo1uQa7Y7WgRJp2GknvFRVTv30ZdXfjfm6bBQz/Mpf7oVt5iMS/c8zqH\nDp3+PUezdvgz0g5H3BnpcB5ptbXVX/rOhztQSLtcnr9RHDejoYhHOn1JWkh//vOfp7a2lgULFvhf\ns1gsLFu2jIaGBpYvX05vQEbmwQcfZM6cOcydO5dNmzYlu3shRcj72c/IfeGF8d9RjIw0xcUekesa\nfVIfM1G6/cWTadE7I93TA53vd/HPT1yIvbWHPXuS+PkOD4PdjlZSgruyUpcMt17EzEiXlkb1Hef9\n139RdM89DDzyCLWPfpVJNQAaX/2qg9mzw9SljiLKS268MWI92VDU7u7R9WMDa9gmQTRrx1irdmhl\nZZ7awSF/c7+lRo19XJWXQ/65s7ln8R4uuMAVNFUgmjWnsdHFJdcUUV9m4QtL9+Kuq/MLUVd+vi7W\nDrWjA62gANOuXaPWJeyRjtDdcCweaVQVraYm4tOAeNC79B3gEZYuF3lRKraEm2xYVAQVzuOc/ZnZ\nzKroDn8/MTAQV7MaANe553oqwUQobTkyAtqefVgp4zFWc83QSzgcpw+8mNYOqzWmNTCQcLWk1ba2\nIH80gHvqVM953un0/H2Ki2N2kxQyi6SF9Oc+9zk2btwY9FpTUxPLli2jpaWFJUuW0NTUBEBzczPr\n1q2jubmZjRs3snr1atyhWRHBUBL1aSlWK6aPPtJ5NGH2E+tRqqp6sid9fcntqK+PspC6w0HjiMPa\nkUhGOlr8W1pMKJ3H2cN8SjQrT/1i7DPbffg72KmqJyOdKkLa7faUzIpSoiyaHUOxWCj43vewvfoq\nI0uWcM45bjZvtrFtm41/+Rdn6Fy9UdsKir/djtLX56+VG4tIVQOSFtL9/ajHj+OeNWv0thOwdmgF\nBWg1NaMmHMbT1TAQ15w5YWtJR7sRKiyE+ZeVcPdNXXz7zl2oZ8/xr1v4yU/qk5Hu6GD4iis8jUJC\nbqh1r9oRT3vwANx1dShjeIIwan8229jL98XcqIJWUkK13R7x7x+2aofLhdLdjeussyJaw+KtIw1A\nfj4jF1xAzhtvhF2dkwNrLt7MW6Yr+BMrWJb7BjOqT5/nlZ6eyOXvfGUo4y1/h7fx0MBAkLBX29pG\nZaQxmz11p48eTcrWIR7p9CVpIX3ZZZdREXLx2LBhA6tWrQJg1apVrF+/HoAXX3yRlStXkpOTQ319\nPbNnz2bbtm3JDkFIARSbzXPhGm+GhmKeCPWwd6hdXZ7MUaS2tXE80tU7I52Xq3EGHbQxDRulTC1K\nXPwGij6tqip1hHR/vyeuUTI60YS02t6Oa/p0tICs0ZQpGrNnu8OWNQ5XAs+/La/QjDeDGMmjmWwt\nadPevZ4JeWHaGmvl5Z6nC3E2qPE9SXHX1o76XvFONPThmj0bU0vL6H3Esh+Ul1EwaCP/6OmJhqCf\nR1rt6MDV2Oj5/R04cHqFpuletWMs1g5IsK17AAlPloyBVlKC2tYW+e8fZrKhcvIkWkWFx7ISqY50\nnJMNfQyvWEHOyy9HXD/3+Jtc/m8X8+LrCtqF51HxwWnRrXZ3R/ZIe+cqjCUjjaJ4BHLAhMPQiYY+\n3DNnYjp0KOFmLEJ6My4e6a6uLmprawGora2ly3vC7ujoYGrABW7q1KkcC1PwXDCORH1ais2G2tIS\nWXjqhOJ0Rm3IAjoJaa8Ajpj5HBiIXbVDZ4904+Ru1II8pp2Vz2BRJbdclcQj4oCmAVpZmSeDn2hL\nMR2JxwMaVfyGlKaKRTSPtC8THa+QjlQ/NtmMdCR/tGeQikecxTuJzSv83DU1oyp3xNuMxYe7oSFs\nU5aY1hxvPEz79gUJ6Xd27Uq6IYvbDad2dvL6/ul0Tl6Ea1vAhEOn03ODFmdGMoji4lFCEhhTXWLw\ntpQOFPdjZFw80niFdBSRHi4jr3Z14a6tjXp8jykjDQxfdx05mzaFPxdpGuZ33qHq05dyzjlutL+5\nlpw//en0vqKUnXMnULUDwBUy4TCSkHZ5S+CpUSY8xkI80ulL4s+G40RRFJQotXYjrVu9ejXTvY9Q\nysrKWLBggf/Rh++Ak+XUWb7GYkGprsa0bx9veG0V47K/wUF27t2LdWQk4vutwN6tW2mcPz/h/U1+\n+20uwCOk3/KKhcD1U3ftotF7gYi4vU98AsVm4+033kAzmZL+/pdXVmKeXsejj26n8Iv5FBWewsWs\nhLZX++67LPRedLa+8w7XFBZ6hFR1taHHk2q10p+Tw9atWyO+f1drKw2trfhy1r71l166mBN/7WTY\nPplDb/WzeHExihJ9f1pZGa0ffsiBMPu7yptF7tyxg+Yo4/EtX+u9kIeu7xoZ4cS77zJz+fKE4nPi\nz3/GXlvLGSHf17e+t6CAfZs2cfbs2dG3d/HFALy73cpZbpVa7w2C//t6a0jHPb6FC1H37ePdl19m\nuLT09Pfdv59eTcP3ADzc3++s1lbKTp1i8K67/OsVr0d661tvgaIkdPzs3m3C/qcT/FQ7k3k4uKdq\nN3tneiJ32ezZaKWlCR2fc7q7meF9ShK4XnE46OzpYXccx8fixYtxNTZiffppPrj00oS+n2Kz0WI2\n0xbn/uJd/oSmUYXnJifc+obubqaHnO+utNvRamvZduAAnwi4kQv6vN3OroMHsRQUxDUe97Rp9JWW\n0vzEEzT+/d8Hrb+8qgqtpIS3jhyBI0e4/Npryf/Rj9j6xhtgMnG919oRbvv5p06xxNuQ5Vh3N3vi\njJ+7vp4jW7Zw2Ht8m1pb+aC7G1vI5+uBOYcPo1VV0TUywo4E/j5h4yfL47K8e/durN4kWWtrK/fe\ney/JoGha8t0Ijhw5wg033MDu3bsBmDt3Lq+//jp1dXV0dnZy1VVXsXfvXr9X+oEHHgDg2muv5Zvf\n/CYXe0/wPjZv3sx5552X7LCEiULTKK+pYfiGGxi++mqG/u7vxm1XpZdcQv8vf4k7pMNbIEV/+7cM\n3X03w9dem/B+8p54gsL778e2cSOuiy4Ku17duxfHD34QdTtlc+die+MNNO8TmmQwb95M/qOP0v+/\n/5v0d8x97jnMW7dif+wxAEovuoj+Z5/1lyIzCvM771DwrW/RF5BpCsW0axeFX/wifSFeyvffN/Hh\ntd/B4i7nxwVf509/6uOcc6JPOs1/6CEUmw3HN74R9LrTCW1f/xULn/k6LRfcTv6vf0wE+6Wfkquv\nxv797+M6//yg1wvWrMF95pkMfuEL0TcQgeLrr8d5//2MXHFF2PVF997L8PLlDN12W9Tt7N7az8JP\nzaecXjYufZBL648x8t3v+Nfn/uIXmD/6CPuPfhT32IruuYfhyy5j6O67T7/2uc8xdMMNDH/602E/\nY9qzh6L77kPp6MD2/vtBvtbyujp6jxwZU9YwkFdeMTN35WV8jl9SzSmerP8WJds3AKC2tFB8113Y\n3n13zNvNe/xx1CNHcHivYf7XH3kEtasLx3e+E+GTwZj27KHo859PaAwARZ/9LEOf+QzDn/pUQp+P\nuN2VK8l95RV6Tp4Ma6vKe+QR1BMncHz72/7Xcp95BvO772L/z/+kfP58ekNrLgMlV16J/cc/xrVw\nYdxjyW9qQunvHxXTvCeewLRrF/aHHz69/cWLsf/oR7guuIDy2lp6Ozo8ZupQ7HbKZ8/Gcf/9qFbr\nqN97JPIeewy1tdXzd9c0ymfMwLp796jMvfnVV8l/9FGGly1DbWvD8eCDcX9fwXi2b9/OkiVLEv78\nuFg7brzxRp566ikAnnrqKW666Sb/688//zxDQ0McPnyY/fv3c1EYkSKkGQMDkJfHyKJF4z/hMEaL\ncNDH2uGbiBWxokMc5e/A65Meo70jEmpnJ+7JkwGSniCoWCxBfkitoiIlfNJxWzvCPEo+cEDlDHc7\nbUzD4VBGta4OhzuCTWTXLhMbn7LwoXsBR7ed4q9/DXNxDh17JGtHhPHGhaZ5KnZ4n66EI56mLJoG\nP3vIzYBWiKYpPP3naTgOB/v31Z4e3GMs2zV0yy3k/v73Qa/F+hu6y8o8HeNMplGTw5L1Sc+c6Waa\n0k47U/koZxFnnPjQX+ZPsVoTnqgXaQLzWK0drtmzUdvaErbAKX1942bt0EpKIs5NCFf+zmftiFbi\ncazWDvDaO15+eVTZSfPWrYx88pPB7/3/2Tvz+Dbqa+0/M7K8afO+x3YSb3FisidAwxIgQAKUsi9t\nKXBpXwj720IpbSm0pcBbaCltc3vvLYVe2qZAW6BsIRDaFHMvCdkXZ7GzeY/t2JYXWZalmfePkRQt\nM9LMSPZo5PP9fPi02kY/nYxnzpx5znNWr4ZxwwZhnzOZxJNoQDhWcxwwMKisObSyEo79J/CTn6Tj\nlV+MgGNYUfnLUMEsOPcfx8evD6NlIDcWh0NCh8ScSN900004++yzcejQIcyYMQMvvfQSHnnkEXz4\n4YeoqanBxx9/7K9A19fX4/rrr0d9fT1Wr16NdevWRZR9EFNP6G0mOfhOnJ558yY9kWZcrsTQSMtw\n7QC8OmkFDYeR4s92d59OpLOzY/J+Dp2+xeXmJoQFHmO3g4ui05VqNpw5k0M5WtGKcqSm8igvj+4I\nFGp/54v/wACDYnRjFxagGF3o7Ix+nJLUSMcw3ZBpbYM7zYRDp/IlT85yvKQZBsg3jcIBYZ/tZYuQ\nOhDSbKjQtQMAJi64AIYDBxDoIS9rMuXYGLgAfTTgjX1mZkwWeDUzRpFtHMGv1qdh/cZUMLlZfo/f\nWBr1xBJJAIp8iQEAaWngKipEteVymBT7Owh/B2ORLgjEmg1PnhTutEWweGRGRxU1GwKAp6EBcLvB\nHjgQsEAeKf/zP5gITaQvvRSp778vWN9F0Cbbhxg4UrPwz/Wn8NkuE+Qe6rozKtC7pQ3PPpuBl3/Y\nh86UClFn1f/tmgVjXzdO7u7Fb14rxu7dyu3v1Jx7icQg5kR6/fr16OzshMvlQltbG2677Tbk5OTg\no48+wuHDh7Fx40ZkBRycH330UbS0tODgwYO45JJLYv16IgHwWTL5E+nY1ULSyGgWiUtFurdXaMiS\nSqRlTuxSMyZcCrarC3xRkbDdnNimEbIh3eWxJubxQlZF2mIRGp9CrDMXLfJgcUErvvHDHLz77jDm\nz4/uJS6VlNfVcaixdGEnFqKU6cLZZ0fZlssFOJ2ia4+l2XD/nw7g41MLcNZZVrz+eqroXBeuqEiW\nE8S/3TQI1pSBqioP7nnSBvNI7Ik00tIwcfnlQR7yUaumZjN4gyGo0dCHqM2aAtiuLvAlxbj4Eg/m\nz/cI3sTeCYexJKER7e8UVKQBwFNfD0NTk6p1TJZrBywWTESoHPOZmdIVaUTYx0dHhSRcCQyDiTVr\nkBog72IPHgRvNge58QCAZ+FCePoG8bdv70X7WC6OHBFPaXbsSEHrSA6MfSfx5gdWbN+eImsp/bZK\nlLmPA+BRieNocVeK3kzoOJmKNszAEmxDH/LQ10cFwukETTYkglDjZelLfvj8fCAzU7h1OUnIGfEa\nl4p0Tw88VVXS0o6xMVmDBpRa4EWKPxNQkY51iAozMBDU4c7n5ibEmPBoUw0BCLefTaawW+1G1oP0\ngW6s+Xo+Fi/2yJkrElaR9sW/ooLD0vJO3PqzKhSwfZhbJz2cBwiwjhO5w8ZnZ6tKpPv7ga2/PYid\n3HzwPIMHH8xER0f4j+JKSmQl0hX5oyitScMHHwzhnOtyw1077HZVE9lc11yD1L/+9fR2ol0MMQx4\nmw2eED3+ihUrYpZ2sJ2d4EpK/I89CxYgxTvhMKaKtO/iLQSl0g4A8MyZA0NgtVUBk+nakRnB7Ubs\nAoft7g5OpEOPHzwvu+AQysTq1UGOHMZPPw2TdQBAX78Bb7ovR/nHf8D+kwV4+OFMUSfIoSEGA8hG\nMbrgRDrsdnmJbv4sE9xpJhTiJCpwHHmLS0WvCxYu9OBEymzMwz4Y8rNQU6N8Poaacy+RGFAiTcRM\n4MF90uUdU1mRrqqKbOsk4wSqxgJPCrarS5gEhzhopENsmhJluqHcRIETqSQz3d3Cb1JgbxZpX0kf\nOImai4rBZ9mi/htGGsTAZWWBVXGRkpoKLMQu7IYwGMhm45GaGn63R+5QFmZsDIwpE9nZ3sRndDRo\nXLVSH2kf7i98AWxPj2B/CXkJq1giDcSukQ5NpN3z5/snHMaUhErY3yn1kQbiUJGeJGlHpH8zsYo8\nc/Lk6TtkYheLLpdwYRlFiieG++yzwRw5it//5BSuvdaEntf+B2PLwxNNh4PBH4evxIX4GKeQi4MH\nDXA4wpPkM87wwG3JQgk6kVWUigUL5E2+zcoCUmvL8foz+/Dgl5pRcW6J6PsaGjyYd3UFDODw/ecz\nUFVFg+amE5RIE0Go0kjb7Zgw2zAxAbjnzYPB694Sd3zeoiKDKQKJNvZZDmxvLzzV1dIaaZmJtNKK\ntGyNdIzSjkAfaUBf0g5AXJLBdnSAKy1V9H2hntT++HOcMHAiP18YXhJSvQ2FHRgIHw/u+w6V0g6z\nGViesRvpy+uxdKkb69ePoKQkPJHmioqE5thoU2IDkz6WFWRHAfumKmkHABgMcH3pS5j477/hnTcA\nbnwCR7sj384f//rX4Vm6NOi5eGikmc5O8IEVaZ+0g+djq0jHabIhEEMi7dMUqHQ0iYS7oQEHI1Wk\nQzXiPA+2pwdcQQEAgMvODrtYVNNo6MdoxPE5l+DQsx/i44+NyNz2KXZnnRP2tvx8Dgu++QU4kIE+\n5OKhh8aQkxP+NzJzJoczzjMjBwO451tQlOgaqiqwKOsoilytYGeVS77PunAmAKB4nrqBLKSR1i+U\nSBMxwfNAy/ZRvP9pLm65xYSOvDNg2L9/cr5Mppl+zBXpkRHwHh6Hx8ow1hVB2iHjJBG3irTbLTTU\neE9cfIwV5NDGuISSdshJpEWSU7ajI6gaKQcpjTQzOAjebAbS0oRRwVFcMSJVpNVKOzA0hPTBHjzz\ntxK89dYwli6VqKKlpWEi04rX19nxj3+kiBZOgfCLv9DphqzXR1oNzquvBf+nv+LBf/NgkLPi9n+z\noKdH+vb5+J13io9TF9HiKiG0Is3n5QEWC9hjx2LTSEtMNmScTsUVaa68HIzdrvhif7Kq0QDgWb4c\nJ9askX5DSLMhY7cLlWavbENU2jE6Kkv+JsXuystxJd5CPZowDAtOpoUnsRkZwL/dw2DkrAtw5W0W\nXH+9S7LOkl4sXCRmFysbyOOpqAB7/LjkMBb/+2bNAgDFzjeE/qFEmghCqU7r6FEGr//WiaP92fjg\ng1Q899HiSatIy9FHA7En0sc+O4V2dyEe+kkp9n86gqNHwxMCuU1G8dJIMz09glWY9yzBxWhXxwwO\nBh3w+ZwcsDFWpFMaG2FQ6Y/rX9cUV6SRmSnYdrkEDbQv/kx3t/+iRWycdti6I4wG9icZCptwDU1N\n8NTVITXDEPH6samJxaHhUvzmsUFcc40Fn34qnkmEOs2ETjeU45gihb16IcZGgQuxCXbYsGdPCgYH\nlTVcrVixQqj8xlHaAQDuBQtg2LVr0lw7lGqkwbLw1NYGu1LIYDITaSDysT9UI810d/tlZoD4hS0z\nOqq+Ig2g5Pbz8QXmf/BF/B37889FXZ34haTFAqT9+kfI+dZNEfN237+9nHNIIFxFBdgTJ8C2toIr\nl65IczNngjcahVtJKiCNtH6hRJqICZeLQabbDjuEg9Su0RqwPb1AjBplUaaoIn18Sx86PYUYQDbS\nxwaxf394YiJnRDgQv4p0oD4aCNBIq3FIGR8XEseAAz4Xo+YaANJ+/3ukvvNOTNuQ1WwIiURa4Xhw\n4QsZ0f2F7ek53UglQ9oRqSKNtDSheqew0pqyfz88c+dGfV93N4s2rhSl6AAA7NwpUZIL0fPyBQX+\nMeiYmBBeV+mzbLEyOH72dbgL/w47bLjgggnk5SnXiUbVSA8NRazuiyXSnjPOQMqePbFZx6WnCzEK\nGV2tRtoBqJN3TJb1nRxCE+lAxw5A/K5LTNIOALVLTODOPhM/ND+Dxd9cjhkzpI91XGUleK/sTQr/\nha7SOwiVlTDs2wdmYiKixR43c6YwLIYsfacdlEgTQSjVaVVUcLh4eT/ssMJi4fH9x13wzKlDyiTI\nO+R4SAOxJ9KFTA9OohCDyEIWBkU1d3KlHU5rHrjuPtx9dybWrzcimnpCKv6B+mgAwok9NRWiLepR\n8FdPAw74sWquAWHiIBOlcht1bXIr0iI6eLazU3lFGsFJuS/+QfrPwIRTAra/X1IjDajTSRv27Ys4\niMVHeTmH/owSlKIDLMtjxQoRjzyISDsCKtLM4KBwAaMyCWAYYNZ3r8T52IySOjN+8YtRRAiHKHI0\n0ukvvoj0CFMEpSrS2LEb7j47XJkqreMYRlwnraLZEPAm0moq0pNhfecl4rE/5EKC9XlIexHzSlfj\nIR1KyjWrYRyxw7Qm3LFDKT79v5qKtGHvXkHWEenvw2CA64YbVK+PNNL6hRJpIiYyM4G5pQN44Adp\n2Lx5CGed5YGnoWFynDucTlmODLzVKjqFTC51Wd2o+kIOzl5jQqlpAAsWuMPeI1fasbvFiolxDm+t\nd+Puu8347DN5/qWhBHpI+xBr8JFDaKMhEFBRitawJsXoKNiWFvCdMSbSMie3xU3aIbEt5uTJuEk7\nAK9zxyQl0lVVHM6/OQ93f+kYPvhgGMuWid8CD91n+cLC0xM8Y9BH+zAtqYW7oQHZMy0oLVXnJR9N\nI8309yPF68IRhssl7Nv5+UFPt+YtwMSWPTixewR/eDsPaodMwmwOu3BVY38HeC3wlFakvX79msAw\nQuHAe5HDBFjfARLHIocjJo00IEw5dH3xi2H+0WrwJ9IK7yBwpaUAy0bURxPTG0qkiSDU6LRSRu0o\nrLGgslJIwtwNDZOik2bGx+UdBM1m4SAuNoJKBpnDPZh1Zi5+8XIK0pxDMGWEJ5dyXTtO9bPoQQHy\nIeikxXyAA5HUSIdWpKHeAo8N8ZAGABiNQhKjspLf/LdDGGXM6N5+Ert2KZ/q5SMmaUdHh3Jph29b\n3t/ti3+QtKOoKHoiHWInGPYdWdmwHxuUr+7weGA4eBBuGdIOAMieW4gaUwcWL/ZITkkO9T4XrUjH\niOv668MSWbnI8ZFm7HYhARX522Z9uvaQMdcf7S2FfSITsz2H8eyLRdi7V93FrFjDYczSDgXSLC01\n0kDw7w+Tdths4RXpkZGYpB2AID8affnlmLbh35avJ0Tpv1dKCriysklPpEkjrV8okSZiJvQA75k7\nd3KcO2RWpMGywkFfZVWa6e0VTsgpKcJtW7FufZn6v9paDkNp+ShAD7KyOCxfri65D9VIA+ot66SS\nPj4nR9X2enoYvPHYQXzArUL2eDe+/nUTTp1SIRFwuYTbx3ImRmZlBSfS4+PC7/JWkZXAWyziFWlv\noiBX2iGVSI+NAa0jOfjRg07ceqtJcvpa0PaOHQOXmwvITJzkDGURlXZ4f5dq67sQxu+8E46nn1a/\ngSjNhozdDsbhAHvsWPhrIrIOQNildmARUjEBO2yhMmfZiDp3qJR28Pn5QGoqmCij3QOZ7EQ6GoE6\nabanJ1zaEfo3pHIYy2TBqWw2BASdtCdCoyExvaFEmjiN0wnHlVcqruSGJdL19TAcPBjWmBMrjMsl\nu/oTi046UB/L22ziY8JlnkBnzuRQuSwH635wHBs3DqOhIXJsJTXSnZ3iFWk10o7+ftGkSW2F2+0G\nahy78U+cj1S44B4aU/VP79+PZOh0QyvSbGencKFhUF4Nj6qR9jUbRqgeMv394VV+L4cOGfDPPXng\n+u3YtCkVr7wSXecvV9bh/w0yhrJEknawcUqkYTCo9jlubGwUEq9IibRX3iB2x0vK/nDlygn05Zoi\nlAAAIABJREFUlC0ABwY33mGM+jcohWhFWqW0A1A+4XCyE+loGl0+MxMYERJpRqzZUMxHWqWDxWSg\nuiINwHXVVXCfE+5jHU9II61fKJEmTpOeDnNbGwzbtin6WNgB3mIBV1wMx87m+ObS4+Oyp2TFlEj7\nKtIQn6Dns0qTvoceTNqMPMzJPRnTtKuwZkOon0bIDA5KVqTVbK+oiMcVM7Zjr2EBulGMX333CAoK\nlGtklSQKYYm0SlmH2LYA761rX3XblwxEuMMRSdrhdgP9yEUOhNiOjUW/UDDIdOzwwRUXR/W6Dr34\n4/Lz/RcIzOCg5IXAVBJVI223w33mmaI9GGKNhgAwaxaPy39QD95iwfd/MI68PJX67VALPI4Tjkkq\nLxw8c+bAseUAtm41oLk5+qlYy4r0xAQw4DLj8W958Mwz6eA6QhJpXzNtQI8FE6OPdLxR22wIAK5b\nboFn0aJ4L4lIEiiRJoJIveYapG7YoOgzoQf4kRGgxXwGfva1o/j2tzPQ3h4fOyDG6ZySijTT0wPO\nq/MU9UcN8eONuhYFFniSGumurjB7J9UaaQmHCS43V932ODdyuw/i+X/MRP78Apwzu0OV+UPMibSK\nRkMgeF/x+0gH3rpmmMgNh95EVKpZr7bWgzPOMyOX6UdVlRu33TYu+r5AFFekc3KExGVsTPI9YQ2y\nZrNQQR4ejpu0IxbkaqQnvvAFpChIpAEg/fwlcF9ysRyjHUnCXDucTuHCnlV3Gu0rnovtLx/GpZda\nsWqVBbt3C9tpa2OwezeL7u7gPyItNdIHDhiw7aANh3eO45lnMoCuk8HNz0ZjuAwuwaQdyMiA68or\nVUlxpgLSSOsXSqQJAEIhYedOAz7KvAKeN96Xb97AcYLTQkA3+d69BryyZzEKu/fgpZfS8c9/yqvc\nRmV8XJ5GGrGNCWd7e4OkHWHbUdiNrnQoSxijo4KsJSTRUS3tGBgQl3aoHPLCNjeDKy5GxTwTUssL\nYOiJUhmVWpfMRkMgXHLDtreDV5tIh4wJx/i40CgVkBhHGhPODA2dtiMUwWIBll1qwb9dfRLvvjuC\nurrof1wpChNpsGyQ5ll0nSINsr7fxQwMTKq1mmwCnCHEYIaG4F6xQlFFGhAmdzr+8z9jW1uItCMW\nWQcANKfNRdEpwbljaIjFBx+k4vBhFldcYcHKlTbccosJra2nk+nJtr+LxPAwMAwzzBhBBhxgJ8bD\n1hLqTBOPZsO4wjAYfeklVfIvgogEJdIEAGDXLgNWr7bgyh+dg8HWERx+J7yZR5SRESGpDJjL6nQy\n2IUFmI/dAAC7PU4VaZmTDYEYKtIOh3Af03thENbUBvmOHf61KKhIi+nkWN8UsZAyr9pphJLNhior\n0il798LT0ABAkBhEc7iQXJeCiluo5CaminSIRprp7RWawQIqjXxBgaR0goniIQ0AxoIsWCf6kZ8f\nXVbADAwIUwYrKhT8Cu++GmmfD3HtAE47dzB2u+YVaZ9GWrIizfNg7HZB8uJwhP1NRUqk4wFvNgcP\n1VHZaOiDmVeHOhyEAYL+bdYsNz77LAUdrTwuwQZs22bE/v2nkz4tNdJVVRyySjNhxghqzB1w5xWG\nH49CdNKJ1myY6JBGWr9QIk0AAI4dY+FyMeDB4m1cAfad92V9TszbdO5cD8rW1GEBdqG62o2LLxYf\nEKEYpRVpFYk029sryDq8Jwneao1Z2hFrRVpMHw2oHxMu5iMNqNdcG/bs8SfSfGEh2GhaXal1KZnc\nZjYLiYxvQEQcNdKh1l4AwBUVSVekI0019H2HyAWZFH59tELJAG+xRNznxbzPfRcIiSDtACJPNuw+\nOgYPa8Sb75vhqJ4XVpVWO5BH9tpCnIDUWt/5qF+WAa6wEGtXNeGZZ0Zx3nlu5ObyeArfwQasxgr8\nK8i0RUuNdGEhj6UXpOGRu3vx5+ePwjgj3B1HNJFOoGZDgpgsKJEmAAgTClNShGrZO+wXUXPoPVmf\nEzu4FxTw+PYvc5BrncA7Lx5FdbX6Jrug73I6J70izfT0BFmoSUo7JqkiLaaTY0SGsQDqpR1SVm1q\n7fQM+/bB7atIFxaqnm6oKFFg2aDEkYmjRjrQscP/ngga6WjDWABxVwMpDPv2wa1E1uH7DoslouVj\nRGlHHAayxIpfIy3SbOhwAP/xjBM9rizcfrsZH/UtxMTnAc4dbjeYvr4gS7Z4E6qRjlXaYTQCqYvm\n4Cc378DXv+5Cfj5w4eDfcEfW63i+8jm8XvlNLJh/ugihtY90ep4JZVkjKDOEW3EC3ovFwH08wZoN\nEx3SSOsXSqQJAMDChR68994w/uM/RvDg35fAdmKfrKRK6uCelc0AsypQNN4atzUyCjrkY65I+7Yj\nJe1QWpGWmUiLrqmrS7QirVaKwQwOghPTSOfmKk/MeV6oSJ9xBgBvYqa2Iq2k2ZAHnOk2vPBDJ157\nzQimrT0u0g4geKqhj0he0mxHh2hiEfQdCkaEG/buVeTY4f+OaBM9RaQdfEEBmJ4esBK6+SlHQiM9\nNMRg20cODEJY4zutC8HsOe1Vz5w8CT43V7aTjhrC7O/GxlQ7dvjwD2aB0GtQ+MQ3Yfjr7/CVLV9D\nnmUcWZv+7n+v1j7Svn8bsTs2QMB0VC8k7SCmC5RIEwCE/oslSzwoLv4HFp1thPu882DcuDHq5yI1\nwHBFRVG9bRWhpCId2kAmE6anJ2gym+j4aKWuHbm5wkWJjA5OUY20yDAWQOWIcJ6XlCKosb9j29uB\ntLTTdoGxaKQVNBs2NbE4dDIHb/23E9+6kwc37lZdUQ1sXGxsbBStSEu5dhw/zmLPS/vwxwNLsWOH\ndBMTr+DfyrB/v7JGQx/RKtIi0g5fgyJjt/sHVmhFJI10VhaPK8/r9SfS2SvnwtRyuiI92fpoINz+\nTulxQAy/l/TICMy33IKx734XnoULYTCyGHviCWT88IeC3SbPa+8j7R3IEjisKOj1RG82THBII61f\nKJEmRJlYvRrG96PrpCMd3PniYtXVSdHvcrmmRiMdKO0QqyQqlHYgNVU4CamQYQDSGmlYLIJufDy6\nnZqfsTFB/y2yfk6FnZ4hoNEQ8A75mIKKdH8/gwE+C1kYxAy04VRmmaxBLmKE7itMT0+YlEZM2sHz\nwPPPpyF17y78164zce21Zpw4IX5I5S0WYb+JZqw+MQFDczM8c+Yo/x0WS2SvaxEpgj2jEAMHe8Gd\nGkQ/nwAV6dRU4YJzIrivIj0duGl1LyoXmPGHPwzj9mcrYWw9LljQYQoT6VD7u1gr0nPmwNDUBNMD\nD8C9eDFct9zif819/vngZs1C2ssvY7BrDDxrgNug3AM5XvikLWx3t2hFmhPTSFMiTUwDKJEmgvDp\ntCZWrYJx82b/iUqKSMkPV1wMRquKtFqNtM+xwbcdsYq0iluWXFmZUL2NgphOjhXxkBYWwii2rIuk\n5/X7UkeY4BeKYc8euL2yDv82HI6o+43o2hQk0hUVHHirDVkYxGzjCaRUqk+ieItF0HN6PIJGOnAY\nixcuYAqgD5cLaNnnxhwcwG7Mx+AgC8lZIiwry5KRbWkRJCoqEpCIzYY8H3YB6HAAr3xYhv6dHeBc\nbvz65Vw1/2xxY8WKFcLFkERVOpuxI2+2FWvWuFFUkQrPzJkwHDoEYGoSaZjNQT7JjMMRU7MhAHBV\nVWDb28G2tMDx05+GXQyOPf44Up55DvdfPYhelw2vvWZUdN2shGgaXV9FWlLaEaqRdjhU7cfTFdJI\n6xdKpAlR+NxcuBsa4HzvE3R0MJIH74iJdJylHcz4uPyBLFEcDKRgA4axAOHeqIC6W7pceTnYEycU\nrwcAGKmKNJQ1sQEAOzAgPcEuLU2oCEbS2YYQWpEGw4D3TcyT+syWLaLJuhKf3PJyHgtXmvC9uzvx\nsweaYamPIYli2SBHBrFEms/NFZJg31RLCOF6/JptaEE1xpCJO+5worRUWr4j59/KcPgwPLW1qn5G\nRI20bypogIdufz+D//x7BarRjAFk48XfpaO/Pz5WlbHAm0wQuyIJlZ94Ghr8o8I1kXY4nbFrgI1G\nOB98EKMvvyx6l8gzdy4aLZfia4cfwyBvw733mtDSos1pO6q0I1QjPTpKGmliWkCJNBFEoE6rc/Fq\n/M+3P8Ty5Tb89rdpQUOrfESrSEdLpA3bt8P05S/LS96mwP6OCRgP7t9OaBVRhX+s3EQ6TCfH86d9\npMW2m5urSNccaZQ14LXAU5CYpwRY3/m3UVQkLe9wOmG57DKwx4+Hr02hBjSz1IbaggGU8W2qre98\n+O48NDY2Bk819GEwgM/LC6tKn2XcjoLLzsDGjUP4znfGEOk6QI4riqGlBVxVlbrfEEEjLaaPtlh4\nzD4zGwZ4MIBsnHWWGxaLuvHZ8cC370vppEPtET3zTlvgTUkiLTbZMMaKNAA4v/1tcJWVkq+vr38c\na/Ae7LCB5xXdMFJEVI2u9wKH7emRVZGmZkNlkEZav1AiTUjycv+XcNapdzHm4PH972fg4MHwZio2\nQoOYnEQ6ZedOGBsbYbn++qjJ9FQMZAlz7RBpWlRTaeEqKsC2tSleDzMwICRAEom70jHhTH9/RHeG\nsYwc/PMvdnz2mSHqbX6mvx/M0FBYEsAVFUlq49mjR8FwHAw7doRvT0GzIXD63yaWYSz+bfn2F54P\nuyvhQ2y6oXH3TlhWLsCSJR5E63X0zJoFw9Gjkq8PDQE9nxzBp7212L9f+aE5ov2diK7fZgOe+dkE\nnOZcWCtseOqpMYRYwmuCZCIdcsciNJHmp1gjHQ9phxxu/V4uXsm9H8OGbPziFw5UVcXHTlQpvMkE\nxm4Xjkkifx9BFWmPR7jQSNBx3AQRTyiRJoII1Gn1Zc/GILKwBNsAiM+HiNZsGK3xjG1rg/P+++GZ\nMweW664TsgkplFakFUgUfIT6SMNsFk4IAc1PYtW9aHAVFTDIqEiH6uRYCQ9pH4o10oODkhXpgwdZ\nbDlagH9/cgxr1liwZUuK6Pt8GPbuFfyOQ3YMKYcLAOjefAQAMPjhrvC1KaxI+6rI8UikPWYb2vcN\noSJ7gTClU0TbKfa7DLt3w7Nggazv4Gpq/JpeMT76yIjufx3FY386A1deaVF8Cz9qRVrk4q+ykkNq\neQHya2yoqNAmQfPh3/czM0Ut8EIvtPyJNM+D0au0Qwb19Rwu+tcDmPH207jxRlc8iuCiyNFIG06c\nEGwGRcZsc1lZp+9mORzCv6PCoULTGdJI6xfaywlJvvpVF7YVX4br097CU085UFvrCXtPxEQ6K0tw\n2pDswBLs0zzl5XA8+yzc8+Yh9Yrr8NffOfDaa0a0tQXrNRmnU34FyGyW55IQiNMpJByBFVuGCW84\nFPHjjYZHpUaakfCQ9qHUso6NMM66vZ3FSXcecnEKAIOtW6Mk0iKyDsDr3CGSSB84wOK1H7VhOxbh\n+F/2YOfOgJOxd/yz6kQ6BmnHyAhwtD8bj949gdtWj8KRJX7hwod6SY+NwXDkiGzPZ09NDdjDhyVf\n/+RfBtTiEA6hFv39LHp6lOmVI/UFRLr44wsKRH3FtUJqKEvo/sHn5gJmM9jjxyPKn+JGZqZwUe3x\nHgfj4CMtl+ziNOSfWTmZNtlR8WmkxWQdQHBFmmQdxHSCEmkiiECdVnU1h1U/Ow9razfi9ttdog3Y\nEauIDBPxNv/oKDDa1I7/ba9Aa7sB3d/7KTYNLMK8b12Dh+/04PHHM4JzcAUV6dAGMjkwfX3g8/LC\nOudDLfBUuXaUlwvSjigCx1CdnJSHtH+7SivSEQZvlJVxGErNRR76APBYsiTyRYhh3z7RRFrq37yl\nxYBy52H8CTdjPrcTB/cHvOhwCM1wqamyfwtvs4EdHIx5NPTx4yy2NufChiFYRk+iZbjYnysFElqR\nNuzbB09Njex90lNbC0OERPrKszrhgQGnkIcZMzwoKVEmho14FyaCZSNXWJgQw1j8GmmTSVojHSL9\ncc+dB8db/wRnsU1+Uut1FPEdlGIdEZ5oRPWR9o77Dh1W5CczU7jIGBsT5G/k2KEI0kjrF0qkiYhk\nzK1Aem+HZCUk2u34SDrpd981wnGoA7f/cA6+8Q0TTvYYcN3JdTiKWXgAz2PzZiOGhk4ntcz4OHgl\niZZCnbRkE03o5DuRUctRMZuFSltvr6KPsd3dEW9ZKx0TLjWMBQDq6jis/rIZX7u8C++8M4wzz4yc\nSKcETDQMRCqRLi7mUIeD+AxnohtFqGeaTq9LxbAJ3mYDe+yYoJuP4aSdmgqMGKzIwiCK0A2HrVDs\nznWYl3TKrl3wzJ8v+3u4mTPBdnZKWgOeU3AQ7Jwq/Pd/D+Ovfx1BZaUyqYUaaQcAcCUlQnU3QZCr\nkZ6YAPYb52PPU5twyFGGpqbJP53xFstpnbTTOb1GYHt/q1RFGgzjLzpQRZqYTlAiTQQRqtPiCwvB\n9PVJSiSi3Y7nJSzwPB5g/e8Z5KEPXSjG1q1GuFw8vnqLC+9hDebgAL7ylXFkZwdU5RSMCAdUJNIh\nHtJB2wmsSKucaMZVVESVdyjWSCscE84MDkacAJhfl436gl6cfbYncp+QwwG2tVXUqk1K2jH/DDcW\nmQ7h6kdmIP2cBZg/se30uhTKOgCAs9nAHjkSs2NHdTWHC67KRF1hPy6a245ZZ4knlaFe0oZdu+CW\nqY8GABiN4MrLYThyRPTljLYWZC6Yjcsvd6tqKFPq2uHDef/9cN55p+LvizdKNdItLSyeen8pzp34\nGC3OGXjyyQw5w0NjIrDhMNkq0lE1uikp4NPTI94h89+9GxkhD2mFkEZav1AiTUTGaBSSNYnmMWZo\nKOJoYamhLAYDcNXS4+hCMTxIQWmpBzYb8PDDTtz6kzJcMvMg7r3XGZQ3MwoGsgDKE2lGwq2Bz8oK\n1kj7GmkUwpWXg21tVfSZSB7SgHdMuEKNdFT7uyjb6+5m8NHPD6PLUo19h8MTCalmw9TBXhhSWdz+\nsAW5lyxAxv7TDYdqK9IMz8fcaMgwQMV8C756RQ9uvqAd1hrxW9dcYSHY7m5/32nKzp3wLFyo6Ls8\ntbVgJRoODS0t8FRXK9peEOnpwhWqmOl7pGmcVqvwX4LAZ2RIa6RDjjW7+PnIgBPtKAPHTZ41nH9t\nARZ4apqO9Q5vMol6SPtfz84GSxVpYppBiTQRhJhOS1Ke4fEIJ2ivdk6MSNKOqxcfRUZtKZ57bhSv\nvz6CGTN45OfzWHJTJbJ6WpCbE3JWnIKKdOggDiDcAk/tCZQrL4/q3CGqkY7SbKhI2jEwELGxTM72\nXnklDX3PvYaXei7H1VdbcPx48GGEz8sTLjxCxjwbWlrAeRNF96JFSNm58/S6VFSkfUlVrIk0IOwr\nRscQTu3fK3nruoctwkhzD664woI3/uACc/yE4lHengjOHWwMHtIAhFvrEjppPSR9ETXSIs2os2dz\neOCXRRiBCc7cEnz3u2Oikpx4EmSBl2T2bnI0urzJJC3twOkx4TQeXDmkkdYvlEgTUZFKhhnf7bsI\nFkeRmg1zRtqQNb8Mt93mQl3d6XuyvM0m6CRDPse4XMoq0iIe0JFgenrEpR1izYYqTqAeGdKOUKI1\nG/I5OVGHfAQSbSALn5sbcXscBxz6uBvX4zU8jwfQ18ciZPDj6eElIVVptrkZHm+i6GlogOHgQf+k\nQCVTDf2YTOANBvDxSKS9+0rawIDoxRQA/PNgCTKGe7B1qwEv3teMofI5ipojgcgNh4aWFn981CIl\n71ArR9IEMY302JhwGyvgQjo1Fbj2eg+YBXNx80O5mDdv8u37Ai3wkk3aIQfeYol8PPIl0tRsSEwj\nNEmkN2zYgLq6OlRXV+OZZ57RYgmEBGI6LclEWsbteL6kRLIizbZJT6TzzJ4driV1OuW7dgCww4q3\n/zCGb3wjE3v2RN/V2Z4eyYo0GyrtUHGSkCPtCIr/xISQ+Ep1ycOb5A8Noaudi+Qy6H0zL2wvgkY6\nmrSDZYEf257Fy7gVfcjHhRdOiLpLiHouB0oXTCZ4Kith2C9YdzDDw4or0j5rwlg10sDphtIcl0vy\n1nW33YQxZCAH/ViC7ThVqUzWAQCcVCI9MSH8PcycqXibgUjqpFVM45xqfPs+L6KRlhrWYzQCnp89\njfTrL52SNSJE2pHoMVWCHI3u6EsvwbN4seTrvM0m3NFSKX+bzpBGWr9MeSLt8Xhwzz33YMOGDWhq\nasL69etx4MCBqV4GoQBeKpGWcTueKyoS1UgDgoe0VBLEzZ4NtqUl+PsUTDZ0uYDNO3Ox91MH/vKX\nNFx3nQUdHZF9eRmJZkMutCKtVtpRUaFII82cPCnY8UW4X93Va8SowYrLvsDh0Ucz0dUV4TcODwsV\nvQhV1GiTEpmeHtRu/ROW/vn/4G9/G8YLL4yioEBeIs02NwdJFzwLF8LglXconWroX6/NFh9ph8+T\nWuJiCgAuuGACvSnFKEI3Li/civQVChoNvXiqqsAeOxbWvMsePy5IeBRcKIohWZFWeRdFC8R8pCNd\ntHsWLJgy+z7ebBYa6QDA6dRNTOMFV1UV8Q4kn50tTD8cGaGKNDFtmPJEeuvWraiqqkJlZSWMRiNu\nvPFGvPXWW1O9DEICKY20WDIcrdEQ8Eo7Tp4U7QKKWJGuqhKvSMu8lep0Aq32LNggVJJ7exmMjUVO\npKVGQ/NWa7D9ndpEuqwMbEcHRE2KvQTGv3fXSfSlleDvfzdKJsg7dqSgy5UL4/AAXnklDdu3Sw9R\nYQcHow/e8FWRAiqCPT0MDh9m0d8PpK9bB9e116Lh4nycf74bxcXi3V18UVGYtCNUuuBetAgp3lHh\napoNAWDssceUOWdIwFutwgVEf79w8SLCnDkcihbmY/1zLTjXtA2WlSq+NyNDuMg4fjzoaUOs+mgv\nepZ2+DXSItIONRr6ySCZXTviodHlAzXSCb6/JRqkkdYvU55Id3R0YMaMGf7HZWVl6OjomOplEAqI\nRdqBjAyheUhEd8t2dIAL2BeCvrOqKrgi7XYL9gopkaft+bBagS+syUQWhEryN7/pRHFxZA0l09sr\nKqPgbbbTFWmeV3/bMj1d0CBLVOgDGRgAXnmmH58en4FbbzXj5z9PFzVj4DjgFHK90wgjuxZE8pAO\n2mZenr8R8MgRFtdcY8aZZ9rw3TudSPn9K3Ded1/0bRQWBu8zLpfw7x0gXfAsXOj/HrWJ0sSVV8bl\nFjJvs4Ht6IDLYol4ByCtvABVXDNST3aIWv/JQUwnHagfjwXJBls9yRBEmg3V3rGIN4GuHbqK6RTB\nZWeDpWZDYpox5Yk0wygbe0tMLfHWSANeL+nQhkOejyjtCNNIK9RHA8CcM024amUfPvpoCPfe64ws\na3a5hNuRIvphnw4ZgOAcYjRGTLYiwZWXwxBB3uGLv93OYGB/NzohDGN5//1UDA+H/+0sXuxGalE2\nSoy9uPbacSxeLD1Ehenvj6iP9jH29NMw3XorjO+9h08/TcH+/cLFS/1H/44Ti74IXoYm2X8nwgt7\n7Jjwbx0gK/HU1wuV2dFRdc2GcYS3WsHwPFIkLux8cIWFSPnwQ3jq62Vf1IVtQ8S5I2brOx86lnZE\n1EhrvH/4CKpIJ5m0Ix4aXT4rC6Ptg+g56sCQhxJpJZBGWr+oOxPEQGlpKdra2vyP29raUCZyYl67\ndi3Ky8sBADabDQ0NDf4dzXcLhB5PzeNPT5zAxb7x1gzjf/1CbyId7fOn0tNx7KOPUDNvnv/11MFB\nrMrMBEwm0c+zExNY09YGTEygccsWpA4NYZU3kZa7/vNzrMhi7HA4NmPPnsjvT+/rw4V5eQDLhr2+\nraUFy7wXAszYGCaMRjQ2NqqKp6eiAi0ffoh2jov4/rS0QpxX1YYdLYL+96qrRmC18mHvLynhMTYX\neGLBPljvOwcWi/j2UlMrkP7RMMpGc9GytQcu12HJ7/+H1Qrbo49ixUMPYfk5bQC+DSuGsBbrsPOG\nj9Ek4/cWnjqFBd5EurGxEUWffYb53oprUDzmzEHTH/+IquPHYfJelGm1v19uMoEvKIj4fq6wEMbf\n/hatq1bBJ5JR+n0HGQa5jY0wP/ig//Wzd+xA6nXXxfx7eIsFJ/buRUvI/rmorQ22lSs1ja/cx7ua\nm9EQcBHW2NiIiu3bUetNpLVcH2824+SRI9jT2IjLvdIOreOVSI93t+YiY9sQ9vET6DuRjcu/wuDw\n4U8SZn30mB43NjZi7969sHvlmq2trbjjjjsQCwzPT7aFfTButxu1tbXYtGkTSkpKsGzZMqxfvx5z\nAvxYN23ahEWLFk3lsggvgQliIFnl5bDv3RtUFUp/7jlgdBTOxx6LuM3Me+6Be+lSuL72Nf9zhh07\nkPl//y+G//lPyc9ZFy7EyF/+Am72bDAdHbBefDHsXpcHORg++wyZjz2G4Y0bo7931y5k3n8/hjdv\nDnuN6e2F9eyzYW9uBtPeDuull8K+b5/sdQSS/uSTgMEA5yOPiL4eGH/ma3ehqeh8tF/0ZSxc6EFe\nnvifasajj4IrKcH4PfeIvj4+Djz2WAaK/uv/oRAn8eo5z+Oll0YQTeXBtLcj/ZobsDX1HOzuLsJ5\nM5phfePXkFMYNOzcKfz7/uMfAIC0X/wCbF8fxn70o+C1P/QQuJkzkfr224Le+ayzom98krDNnYv2\n+npYXn9d8j2pr70G0513YvTXv4brpptUfY/h88+R+cgjGN606fR319RgaPNm8BE8w+WQ/txzgMMB\n5/e/H/S86eab4frqVzGxenVM259MfPs+29QE8+23Y+izz/yvpf/852CGhjD2gx9ouELA+Ne/IvX9\n9zH6X/+FrPx8DHZ1CXeokgCpY78SHvtyFx54/wrswgKsx034+oaLsWyZdE8IcZp4xJ9Qx44dO3Dh\nhReq/vyUSztSUlLwq1/9Cpdccgnq6+txww03BCXRRGLCFReD6ewMek7u7VauuDhM2sG2t0vqo/2f\nmz0brFfeocSxw4eSgSxSjh3AaUcH8HzMTVtKnDtM9i40XFqAVavckkk04PV+jjBEZXjvSV6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2Ji5UqkBFSlt7/9tjAanKU/TS1IBp1i2ECWeIy1nwICY7/y8hR/Ip3F2JFfrcwhaDLxSzuSrCKd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\nHTt24MILL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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 12
},
{
"cell_type": "markdown",
@@ -527,8 +822,17 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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MsgmjKioqUkpKikfHWLqygP1N8Ny5c5Wenq7c3FzFx8drxYoVkqTk5GSlp6cr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\nWKjy8nKlpqZq27Zth+w+r1+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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 13
},
{
"cell_type": "markdown",
@@ -562,8 +866,17 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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vrw8+ESkqVNsQ9a4MU/5mKX9zikr2J09aSZ79LbtowhpXB+4s9QPZYRFUq+ak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\nIaTQhs1sGfgGZSb05+1vK/Ha61ksWJB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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 14
},
{
"cell_type": "code",
@@ -572,7 +885,7 @@
"language": "python",
"metadata": {},
"outputs": [],
- "prompt_number": ""
+ "prompt_number": 14
},
{
"cell_type": "code",
@@ -581,7 +894,7 @@
"language": "python",
"metadata": {},
"outputs": [],
- "prompt_number": ""
+ "prompt_number": 14
},
{
"cell_type": "code",
@@ -590,7 +903,7 @@
"language": "python",
"metadata": {},
"outputs": [],
- "prompt_number": ""
+ "prompt_number": 14
},
{
"cell_type": "code",
@@ -599,7 +912,7 @@
"language": "python",
"metadata": {},
"outputs": [],
- "prompt_number": ""
+ "prompt_number": 14
},
{
"cell_type": "markdown",
@@ -624,7 +937,7 @@
"language": "python",
"metadata": {},
"outputs": [],
- "prompt_number": ""
+ "prompt_number": 14
},
{
"cell_type": "code",
@@ -639,8 +952,223 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "html": [
+ "\n",
+ "\n"
+ ],
+ "metadata": {},
+ "output_type": "pyout",
+ "prompt_number": 15,
+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 15
}
],
"metadata": {}
diff --git a/histogram_filter.ipynb b/histogram_filter.ipynb
index 5b25b3e..965c29f 100644
--- a/histogram_filter.ipynb
+++ b/histogram_filter.ipynb
@@ -1,7 +1,7 @@
{
"metadata": {
"name": "",
- "signature": "sha256:a8af5361cea4c2e2bdc01b6a821bd8d7def5d34141cebfae64113a2a8e4e037b"
+ "signature": "sha256:3d773f480fbe09157a394cf32f8c6a660062f7144c89a064fee3bf3c44734623"
},
"nbformat": 3,
"nbformat_minor": 0,
@@ -25,8 +25,223 @@
],
"language": "python",
"metadata": {},
- "outputs": [],
- "prompt_number": ""
+ "outputs": [
+ {
+ "html": [
+ "\n",
+ "\n"
+ ],
+ "metadata": {},
+ "output_type": "pyout",
+ "prompt_number": 1,
+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 1
},
{
"cell_type": "markdown",
@@ -63,7 +278,8 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [],
+ "prompt_number": 2
},
{
"cell_type": "markdown",
@@ -80,7 +296,8 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [],
+ "prompt_number": 3
},
{
"cell_type": "markdown",
@@ -104,7 +321,25 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stderr",
+ "text": [
+ "/usr/local/anaconda/lib/python2.7/site-packages/matplotlib/font_manager.py:1236: UserWarning: findfont: Font family ['monospace'] not found. Falling back to Bitstream Vera Sans\n",
+ " (prop.get_family(), self.defaultFamily[fontext]))\n"
+ ]
+ },
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 4
},
{
"cell_type": "markdown",
@@ -124,7 +359,16 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "pos = [ 0.3 0.3 0. 0. 0. 0. 0. 0. 0.3 0. ]\n"
+ ]
+ }
+ ],
+ "prompt_number": 5
},
{
"cell_type": "markdown",
@@ -150,7 +394,16 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "[0 1 0 0 0 0 0 0 0 0]\n"
+ ]
+ }
+ ],
+ "prompt_number": 6
},
{
"cell_type": "markdown",
@@ -197,7 +450,17 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "[ 0.12 0.12 0.04 0.04 0.04 0.04 0.04 0.04 0.12 0.04]\n",
+ "sum = 0.64\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
},
{
"cell_type": "markdown",
@@ -236,7 +499,18 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "sum = 1.0\n",
+ "probability of door = 0.1875\n",
+ "probability of wall = 0.0625\n"
+ ]
+ }
+ ],
+ "prompt_number": 8
},
{
"cell_type": "markdown",
@@ -282,7 +556,17 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "pos before update = [ 0.4 0.1 0.2 0.3]\n",
+ "pos after update = [ 0.3 0.4 0.1 0.2]\n"
+ ]
+ }
+ ],
+ "prompt_number": 9
},
{
"cell_type": "markdown",
@@ -319,7 +603,16 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "[ 0. 0. 0. 0. 0.1 0.8 0.1 0. ]\n"
+ ]
+ }
+ ],
+ "prompt_number": 10
},
{
"cell_type": "markdown",
@@ -338,7 +631,16 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "[ 0. 0. 0. 0.04 0.38 0.52 0.06 0. ]\n"
+ ]
+ }
+ ],
+ "prompt_number": 11
},
{
"cell_type": "markdown",
@@ -357,7 +659,17 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 12
},
{
"cell_type": "markdown",
@@ -378,7 +690,24 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "[ 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1]\n"
+ ]
+ },
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 13
},
{
"cell_type": "markdown",
@@ -399,7 +728,25 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "[ 0.10407069 0.10329322 0.10125784 0.09874205 0.09670682 0.09592945\n",
+ " 0.09670682 0.09874205 0.10125784 0.10329322]\n"
+ ]
+ },
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 14
},
{
"cell_type": "markdown",
@@ -429,7 +776,27 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "[ 0.1875 0.1875 0.0625 0.0625 0.0625 0.0625 0.0625 0.0625 0.1875\n",
+ " 0.0625]\n",
+ "[ 0.0875 0.175 0.175 0.075 0.0625 0.0625 0.0625 0.0625 0.075\n",
+ " 0.1625]\n"
+ ]
+ },
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 15
},
{
"cell_type": "markdown",
@@ -448,7 +815,25 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "[ 0.15671642 0.31343284 0.10447761 0.04477612 0.03731343 0.03731343\n",
+ " 0.03731343 0.03731343 0.13432836 0.09701493]\n"
+ ]
+ },
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 16
},
{
"cell_type": "markdown",
@@ -467,7 +852,17 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 17
},
{
"cell_type": "markdown",
@@ -486,7 +881,17 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 18
},
{
"cell_type": "markdown",
@@ -522,7 +927,25 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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+ "text": [
+ ""
+ ]
+ },
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "[ 0.2245871 0.06288015 0.06109133 0.0581008 0.09334062 0.2245871\n",
+ " 0.06288015 0.06109133 0.0581008 0.09334062]\n"
+ ]
+ }
+ ],
+ "prompt_number": 19
},
{
"cell_type": "markdown",
@@ -541,7 +964,17 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 20
},
{
"cell_type": "markdown",
@@ -563,7 +996,17 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 21
},
{
"cell_type": "markdown",
@@ -601,7 +1044,17 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 22
},
{
"cell_type": "markdown",
@@ -653,7 +1106,102 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [
+ {
+ "html": [
+ "\n",
+ "\n",
+ "\n",
+ "\n",
+ "\n"
+ ],
+ "metadata": {},
+ "output_type": "pyout",
+ "prompt_number": 23,
+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 23
},
{
"cell_type": "markdown",