diff --git a/python/denoising/Main.ipynb b/python/denoising/Main.ipynb index 8a1f63b..e3436cc 100644 --- a/python/denoising/Main.ipynb +++ b/python/denoising/Main.ipynb @@ -48,7 +48,7 @@ }, { "cell_type": "code", - "execution_count": 63, + "execution_count": 3, "id": "e7d69a97", "metadata": {}, "outputs": [], @@ -76,11 +76,12 @@ "\n", " return (gs, ys)\n", "\n", - "def p(n, x):\n", + "def p5(x):\n", " \"\"\"\n", " Vectorized version of the function\n", " described in the pdf.\n", " \"\"\"\n", + " n = 5\n", " result = 0\n", "\n", " for k in range(n + 1):\n", @@ -88,16 +89,6 @@ "\n", " return result/(n + 1)\n", "\n", - "def sample_p(n, points):\n", - " \"\"\"\n", - " Samples the test function given in the pdf at\n", - " a given set of points, introducing noise in\n", - " the process.\n", - "\n", - " See `sample_with_noise` for the full return value.\n", - " \"\"\"\n", - " return sample_with_noise(points, lambda x: p(n, x))\n", - "\n", "def smooth(data, beta):\n", " \"\"\"\n", " Smooth noisy data (y) by means of solving \n", @@ -148,13 +139,13 @@ }, { "cell_type": "code", - "execution_count": 65, + "execution_count": 6, "id": "2b9f2b79", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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XBx98EDc3N1xdXenQoQN//PFHue3/77//ZsSIETRr1gxra2tUKlWheXNycpg+fTrBwcHY2trSqFEjvvjii3IrS3np2rUrXbt2LTZfcHAwKpWKsWPH5ntt27ZtqFQqfv/99zKX5+rVq7z66qtERETg6uqKSqVi8eLFhebfvHkzHTp0wMHBAQ8PD0aNGkVcXFy+fNXl/RCiokhwI0Q1FBcXR+/evbl27Rpff/01K1asICgoiMcee4xjx46VyzFWrVrFvn37aNKkCS1atCgy7wsvvMDMmTN58cUX2bBhA48++iivvPIKM2bMKJeymMr333/P2bNnK2z/Fy5cYOnSpdjY2NC3b98i827fvp0+ffrg7e3NH3/8wWeffcbmzZvp3r07WVlZBnnN9f0QwmiKEKLaWbJkiQIo//zzjz4tKSlJAZRPP/20XI6h0Wj0j1988UWlsD8XJ0+eVFQqlTJjxgyD9GeffVaxt7dXEhISyqU85SEiIkKJiIgoNl9QUJDSoUMHRa1WK4MGDTJ4bevWrQqg/Pbbb2Uuz73X+MCBAwqgLFq0qMC8bdu2VZo0aaLk5OTo03bv3q0Ayvz58/Vp1en9EKKiSM2NENVQTEwMAE2aNNGnXb9+HQBra+tyOYaFhXF/HlavXo2iKDz99NMG6U8//TQZGRmsX7++yO0vXLjA008/Tf369XFwcKB27dr079+fEydOGOTLaw5atmwZb731Fn5+fri4uPDQQw/lq11RFIUPP/yQoKAg7OzsaN26NevWrTPqfPK4ubkxefJkVq5cyb59+0q0rbGMvcbXrl3jwIEDDB8+HCsrK316x44dadCgAatWrdKnlfX9EMIcSHAjRDWUm5sLgJWVFcnJyezevZsRI0bg6OhI//79DfJqtVpyc3OL/dFoNKUqy8mTJ/H09MTHx8cgvXnz5vrXi3L9+nXc3d2ZNWsW69evZ968eVhZWfHAAw8U2CT05ptvEh0dzXfffce3337L+fPn6d+/v0H5p0+fzqRJk+jRowerV6/m+eef59lnny1xE9Mrr7xC7dq1mThxYpH5FEUx6hrnvW8llXcN867pvZo3b25wjcv6fghhDqyKzyKEqMqaN29OdHQ0AG+//TYBAQEGr48ePZolS5YUu5+IiAi2bdtW4uMnJCTg5uaWL93R0REbGxsSEhKK3L5Lly506dJF/1yj0fDwww/TtGlTvvnmGz755BOD/E2aNOGnn37SP7e0tGTIkCEcOHCA9u3bc+fOHWbPns2jjz7Kd999p8/XtGlTwsPDadiwodHnZm9vz7Rp03j22Wf5+++/6devX4H5tm/fTrdu3YzaZ1RUFMHBwUaXAdBfw4Kus5ubm8E1Luv7IYQ5kOBGiGru119/JSYmhnXr1jFjxgzOnTvH8uXL9a9PmzaNcePGFbsfZ2fnUpehqJFURb0GulqoDz/8kJ9++okLFy6Qk5Ojf+306dP58j/yyCMGz/NqJKKjo2nfvj179+4lMzOTp556yiBfx44dCQoKKvZc7vf000/z6aefMnny5EI7/bZp04YDBw4YtT8/P78SlyFPYdfy/vSyvB9CmAMJboSo5tq1a0e7du147LHHqFOnDm+//TavvPIKHTt2BCAwMBB/f/9i91Pam567uztHjx7Nl56WlkZ2dnaBtQj3mjBhAvPmzWPSpElERERQq1YtLCwseOaZZ8jIyCjwePeytbUF0OfNq5m4v1mmsLTiWFpaMmPGDAYOHMiSJUsICQnJl8fJyYmWLVsatb97+8wYK++cC6p1uX37tsE1Luv7IYQ5kD43QpiRTp06AXc7F4OuWcra2rrYn+7du5fqmM2aNePWrVvcuHHDID2vQ3BoaGiR2//000+MGDGCGTNm0KtXL9q1a0dYWBjx8fGlKk9eIHB/eQpLM8aAAQMIDw9n6tSpZGZm5nt9+/btRl1ja2trLl++XOLj513D+ztZ56Xde43L+n4IYQ6k5kaIauzSpUt4eHjon+fNcVO3bl19WkU3Sw0YMIC3336bJUuWMGnSJH364sWLsbe3p3fv3kVur1Kp9LUvedasWcO1a9eoV69eicvTvn177OzsWLp0KYMHD9an79mzh+jo6BL3d8kze/ZsOnXqxOeff57vtYpulqpduzbt2rXjp59+4vXXX8fS0hKAffv2cfbsWV599VV93rK+H0KYAwluhKjG+vXrx9SpUwkNDeXEiRNMnTqVzp07GzSRBAcHl+qGHh0drb9hX7x4EUA/K29wcDBhYWGArqPumDFjmDp1KpaWlrRt25aNGzfy7bff8v777xfbDNKvXz8WL15Mo0aNaN68OYcOHWLOnDlGNaUVpFatWrz++uu8//77PPPMMzz++ONcuXKFadOmlapZKk94eDgDBgwocBZoZ2dn/fUoqbxreunSJQAOHjyIk5MTAI899pg+3+zZs+nRowePP/44L7zwAnFxcUyePJnQ0FCDYd9lfT+EMAumnWZHCFEaU6dOVQDlhRdeUAIDAxVbW1ulTp06yvPPP6/cunWrXI6xaNEiBSjwZ+TIkQZ5s7OzlalTpyqBgYGKjY2N0qBBA+Xzzz836jiJiYnKmDFjFC8vL8XBwUHp1KmTsnPnznwT7hU2eV5UVFS+ye+0Wq0yc+ZMJSAgQLGxsVGaN2+u/PXXXyWaxO/hhx/Olx4ZGalYWlqW2yR+iqIUeo0L+vO8ceNGpX379oqdnZ3i5uamjBgxQrl582a+fGV5P4QwBypFUZRKj6iEEGUybdo0pk+fzq1btwyapYQQQkiHYiGEEEKYGQluhBBCCGFWpFlKCCGEEGZFam6EEEIIYVYkuBFCCCGEWalx89xotVquX7+Os7OzrLEihBBCVBOKopCSkoKfnx8WFkXXzdS44Ob69ev5Vk0WQgghRPVw5cqVYif5rHHBTd4U81euXMHFxcXEpRFCCCGEMZKTkwkICDBqqZgaF9zkNUW5uLhIcCOEEEJUM8Z0KZEOxUIIIYQwKxLcCCGEEMKsSHAjhBBCCLNS4/rcGEuj0ZCTk2PqYogaytraGktLS1MXQwghqiUJbu6jKAo3btzgzp07pi6KqOFcXV3x8fGR+ZiEEKKEJLi5T15g4+XlhYODg9xYRKVTFIX09HTi4uIA8PX1NXGJhBCiepHg5h4ajUYf2Li7u5u6OKIGs7e3ByAuLg4vLy9pohJCiBKQDsX3yOtj4+DgYOKSCHH3cyh9v4QQomQkuCmANEWJqkA+h0IIUToS3AghhBDCrEhwI8rdqFGjGDhwoKmLUWrbtm1DpVLJiDkhhKimJLgRJnf58mVUKhVHjx41dVEA6NixI7GxsajVaqO3qe4BnRBClJfYpAz2XIwnNinDZGWQ0VJmKjs7GxsbG1MXo1qysbHBx8fH1MUQQohqZ/mBGKasPIFWAQsVzBzUjKFtAyu9HFJzU4EqM3rt2rUr48aNY8KECXh4eNCjRw8APvnkE5o1a4ajoyMBAQG88MILpKamArr5VDw9PVmxYoV+Py1btsTLy0v/fO/evVhbW+u3uZ9Go2HChAm4urri7u7OxIkTURTFIM/69evp1KmTPk+/fv24ePGi/vWQkBAAWrVqhUqlomvXrgAcOHCAHj164OHhgVqtJiIigsOHDxd5HfJqUKZPn46XlxcuLi4899xzZGdn6/NkZWXx8ssv4+XlhZ2dHZ06deLAgQP61+9vllq8eDGurq5s2LCBxo0b4+TkRO/evYmNjQVg2rRpLFmyhD/++AOVSoVKpWLbtm1kZ2czbtw4fH19sbOzIzg4mJkzZxZZfiGEqK5ikzL0gQ2AVoE3V540SQ2OBDcVZPmBGMJnbeHJBf8SPmsLyw/EVPgxlyxZgpWVFbt37+abb74BwMLCgs8//5yTJ0+yZMkStmzZwsSJEwHdaJwuXbqwbds2ABITE4mMjCQnJ4fIyEhAd6Nv06YNTk5OBR7z448/ZuHChXz//ffs2rWL27dvs2rVKoM8aWlpTJgwgQMHDvDPP/9gYWHBo48+ilarBWD//v0AbN68mdjYWFauXAlASkoKI0eOZOfOnezbt4/69evTt29fUlJSirwO//zzD6dPn2br1q0sW7aMVatWMX36dP3rEydOZMWKFSxZsoTDhw9Tr149evXqxe3btwvdZ3p6Oh999BE//vgjO3bsICYmhtdffx2A119/nSFDhugDntjYWDp27Mjnn3/On3/+ya+//srZs2f56aefCA4OLrLsQghRXUXFp+kDmzwaReFyfHrlF0apYZKSkhRASUpKyvdaRkaGEhkZqWRkZJTpGNfvpCshk/9Wgibd/akzeY1y/U56mfZblIiICKVly5bF5vv1118Vd3d3/fPPP/9cCQ0NVRRFUVavXq2EhYUpgwYNUubNm6coiqL07NlTmTRpUqH78/X1VWbNmqV/npOTo/j7+ysDBgwodJu4uDgFUE6cOKEoiqJERUUpgHLkyJEiy56bm6s4Ozsrf/31V6F5Ro4cqbi5uSlpaWn6tK+++kpxcnJSNBqNkpqaqlhbWytLly7Vv56dna34+fkpH374oaIoirJ161YFUBITExVFUZRFixYpgHLhwgX9NvPmzVO8vb0Njnv/Ob/00kvKgw8+qGi12iLPqzDl9XkUQojKUNH3vqLu3/eTmpsKYKroNSwsLF/a1q1b6dGjB7Vr18bZ2ZkRI0aQkJBAWloaoGvOOnXqFPHx8Wzfvp2uXbvStWtXtm/fTm5uLnv27CEiIqLA4yUlJREbG0uHDh30aVZWVvnKcfHiRZ588knq1KmDi4uLvhkqJqbo2qy4uDjGjh1LgwYNUKvVqNVqUlNTi92uRYsWBhMxdujQgdTUVK5cucLFixfJyckhPDxc/7q1tTXt2rXj9OnThe7TwcGBunXr6p/7+vrql0cozKhRozh69CgNGzbk5ZdfZuPGjUXmF0KI6sxXbc/MQc2w/G+OLkuVihmDQvFV21d6WaRDcQUI8XDEQoVBgGOpUhHsUbEzHzs6Oho8j46Opm/fvowdO5b/+7//w83NjV27djFmzBj9rLehoaG4u7uzfft2tm/fznvvvUdAQAAffPABBw4cICMjg06dOpWpXP379ycgIIAFCxbg5+eHVqslNDTUoB9MQUaNGsWtW7eYO3cuQUFB2Nra0qFDh2K3K4xKpdL3B7p/gjxFUYqcNM/a2rrQfRWmdevWREVFsW7dOjZv3syQIUN46KGH+P3330tVfiGEqOqGtg2kSwNPLsenE+zhYJLABqTPTYWoKtHrwYMHyc3N5eOPP6Z9+/Y0aNCA69evG+TJ63fzxx9/cPLkSTp37kyzZs3Iycnh66+/pnXr1jg7Oxe4f7Vaja+vL/v27dOn5ebmcujQIf3zhIQETp8+zdtvv0337t1p3LgxiYmJBvvJG9Wl0WgM0nfu3MnLL79M3759adq0Kba2tsTHxxd73seOHSMj424Htn379uHk5IS/vz/16tXDxsaGXbt26V/Pycnh4MGDNG7cuNh9F8bGxiZf+QFcXFwYOnQoCxYsYPny5axYsaLIvj1CCFHd+art6VDX3WSBDUjNTYWpCtFr3bp1yc3N5YsvvqB///7s3r2br7/+Ol++rl27Mn78eFq1aoWLiwsAXbp0YenSpUyYMKHIY7zyyivMmjWL+vXr07hxYz755BODye9q1aqFu7s73377Lb6+vsTExDB58mSDfXh5eWFvb8/69evx9/fHzs4OtVpNvXr1+PHHHwkLCyM5OZk33nhDv6BkUbKzsxkzZgxvv/020dHRTJ06lXHjxmFhYYGjoyPPP/88b7zxBm5ubgQGBvLhhx+Snp7OmDFjjLiqBQsODmbDhg2cPXsWd3d31Go1X375Jb6+vrRs2RILCwt+++03fHx8cHV1LfVxhBBCFE9qbiqQqaPXli1b8sknnzB79mxCQ0NZunRpgUORu3Xrhkaj0Q/BBoiIiECj0RTa3ybPa6+9xogRIxg1ahQdOnTA2dmZRx99VP+6hYUFv/zyC4cOHSI0NJTx48czZ84cg31YWVnx+eef88033+Dn58eAAQMAWLhwIYmJibRq1Yrhw4frh28Xp3v37tSvX58uXbowZMgQ+vfvz7Rp0/Svz5o1i8GDBzN8+HBat27NhQsX2LBhA7Vq1Sp234V59tlnadiwIWFhYXh6erJ7926cnJyYPXs2YWFhtG3blsuXL7N27VosLOS/nRBCVCSVUlzHATOTnJyMWq0mKSlJX0uRJzMzk6ioKEJCQrCzszNRCUVZjBo1ijt37rB69WpTF6XM5PMohBB3FXX/vp98hRRCCCGEWZHgRgghhBBmRToUC7OyePFiUxdBCCGEiUnNjRBCCCHMigQ3QgghhDArEtwIIYQQwqyYNLjZsWMH/fv3x8/PD5VKZdTw3e3bt9OmTRvs7OyoU6dOgZPSCSGEEKLmMmlwk5aWRosWLfjyyy+Nyh8VFUXfvn3p3LkzR44c4c033+Tll19mxYoVFVxSIYQQQlQXJh0t1adPH/r06WN0/q+//prAwEDmzp0LQOPGjTl48CAfffQRgwcPrqBSCiGEEMIoWi1sfAuCO0P9HmBpXfw2FaBa9bnZu3cvPXv2NEjr1asXBw8e1K9yfb+srCySk5MNfsRd06ZNo2XLliXapmvXrrz66quVXo7du3fTrFkzrK2tGThwYLkev6RGjRpl8jIIIUSVE3sE9s2Hlc+CojVZMarVPDc3btzA29vbIM3b25vc3Fzi4+Px9fXNt83MmTOZPn16ZRWx2nn99dd56aWXSrTNypUrsbau/Gh8woQJtGzZknXr1uHk5FQpx7x8+TIhISEcOXLEIPj67LPPqGErlwghRPHOrtf9rvsgWNmarBjVquYGQKVSGTzPu8Hcn55nypQpJCUl6X+uXLlS4WWsDhRFITc3FycnJ9zd3Uu0rZubG87OzhVUssJdvHiRBx98EH9/f5OvrK1Wq01eBiGEqGyxSRnsuRhPbFJGwRnOrdP9bmh8l5OKUK2CGx8fH27cuGGQFhcXh5WVVaE3aFtbW1xcXAx+zFFWVpZ+1Ww7Ozs6derEgQMH9K9v27YNlUrFhg0bCAsLw9bWlp07d+ZrDsrNzeXll1/G1dUVd3d3Jk2axMiRIw2aYO5vlgoODmbGjBmMHj0aZ2dnAgMD+fbbbw3KN2nSJBo0aICDgwN16tThnXfeKbQp8X6XL19GpVKRkJDA6NGjUalULF68mMWLF+cLMFavXm0Q6Oad348//khwcDBqtZphw4aRkpKiz6PVapk9ezb16tXD1taWwMBAPvjgAwBCQkIAaNWqFSqVSr9y+v3NUsZe/3/++YewsDAcHBzo2LEjZ8+eNeoaCCGEqS0/EEP4rC08ueBfwmdtYfmBGMMMd67AjROgsoD6PQveSSWpVsFNhw4d2LRpk0Haxo0bCQsLq7hmEkWB7DTT/JSg2WPixImsWLGCJUuWcPjwYerVq0evXr24fft2vnwzZ87k9OnTNG/ePN9+Zs+ezdKlS1m0aBG7d+8mOTnZqCH6H3/8MWFhYRw5coQXXniB559/njNnzuhfd3Z2ZvHixURGRvLZZ5+xYMECPv30U6POLSAggNjYWFxcXJg7dy6xsbEMHTrUqG1BV+OzevVq/v77b/7++2+2b9/OrFmz9K9PmTKF2bNn88477xAZGcnPP/+sb/7cv38/AJs3byY2NpaVK1cWeAxjr/9bb73Fxx9/zMGDB7GysmL06NFGn4cQQphKbFIGU1aeQPvfbUmrwJsrTxrW4Jz7r0nKvx04elR+Ie9h0j43qampXLhwQf88KiqKo0eP4ubmRmBgIFOmTOHatWv88MMPAIwdO5Yvv/ySCRMm8Oyzz7J3716+//57li1bVnGFzEmHGX4Vt/+ivHkdbByLzZaWlsZXX33F4sWL9aPPFixYwKZNm/j+++9544039Hnfe+89evToUei+vvjiC6ZMmcKjjz4KwJdffsnatWuLLUPfvn154YUXAF0tzaeffsq2bdto1KgRAG+//bY+b3BwMK+99hrLly9n4sSJxe7b0tISHx8fVCoVarUaHx+fYre5l1arZfHixfqmtOHDh/PPP//wwQcfkJKSwmeffcaXX37JyJEjAahbty6dOnUCwNPTEwB3d/dCj1uS6//BBx8QEREBwOTJk3n44YfJzMzEzs6uROckhBCVKSo+TR/Y5NEoCpfj0/FV2+sS8oKbhr0rt3AFMGlwc/DgQbp166Z/PmHCBABGjhzJ4sWLiY2NJSbmbrVXSEgIa9euZfz48cybNw8/Pz8+//zzGj8M/OLFi+Tk5BAeHq5Ps7a2pl27dpw+fdogb1hYWKH7SUpK4ubNm7Rr106fZmlpSZs2bdBqi+71fm8tkEqlwsfHh7i4OH3a77//zty5c7lw4QKpqank5uZWWhNhcHCwQR8hX19ffdlOnz5NVlYW3bt3L/X+S3L9771OeR3g4+LiCAwMLPXxhRCiooV4OGKhwiDAsVSpCPZw0D3JSoGoHbrHDUzb3wZMHNx07dq1yBEnBa3wHBERweHDhyuwVPexdtDVoJiCtYNR2QrrVK0oSr40R8fia4IK67RdlPubBVUqlT4g2rdvH8OGDWP69On06tULtVrNL7/8wscff1zsfotiYWGRr2wF9eMpqmz29vZlKgOU7PrfW5a814oLHIUQwtR81fbMHNSMN1eeRKMoWKpUzBgUerfW5uJW0GRDrRDwbGjawlLN+tyYhEqlaxoyxU8hI8DuV69ePWxsbNi1a5c+LScnh4MHD9K4cWOjT1WtVuPt7a3vZwKg0Wg4cuSI8derALt37yYoKIi33nqLsLAw6tevT3R0dJn2Cbomo5SUFNLS0vRpR48eLdE+6tevj729Pf/880+Br9vY2AC661CY8rr+QghRlQ1tG8iuyd1Y9mx7dk3uxtC299Q465uk+hh976pI1WqeG1EwR0dHnn/+ed544w19f6UPP/yQ9PR0xowZU6J9vfTSS8ycOZN69erRqFEjvvjiCxITEwsdam+MevXqERMTwy+//ELbtm1Zs2YNq1atKvX+8jzwwAM4ODjw5ptv8tJLL7F///4Ca/uKYmdnx6RJk5g4cSI2NjaEh4dz69YtTp06xZgxY/Dy8sLe3p7169fj7++PnZ0darXaYB/lef2FEKIq81Xb362tyaPV3A1uGpi+vw1IzY3ZmDVrFoMHD2b48OG0bt2aCxcusGHDBmrVqlWi/UyaNIknnniCESNG0KFDB5ycnOjVq1eZOrwOGDCA8ePHM27cOFq2bMmePXt45513Sr2/PG5ubvz000+sXbuWZs2asWzZMqZNm1bi/bzzzju89tprvPvuuzRu3JihQ4fq++RYWVnx+eef88033+Dn58eAAQMK3Ed5XX8hhKh2rh6E9ASwVUNQR1OXBgCVUsOmWU1OTkatVpOUlJSvQ2tmZiZRUVGEhITI6JX/aLVaGjduzJAhQ/i///s/UxenRpHPoxCiWtg8DXZ9CqGD4bGFFXaYou7f95NmKWEgOjqajRs3EhERQVZWFl9++SVRUVE8+eSTpi6aEEKIqujsf7MSV4FRUnmkWUoYsLCwYPHixbRt25bw8HBOnDjB5s2bpWOsEEKI/G5Hwa0zoLKE+g+ZujR6UnMjDAQEBLB7925TF0MIIUR1kNeROKgj2FedPoZScyOEEEKI0jmzRve7ioySyiPBjRBCCCFKLi0BovfoHjd62LRluY8EN0IIIYQouXPrQNGAdzNwCzF1aQxIcCOEEEKIkjv9t+534/6mLUcBJLgRQgghRMlkpcDFLbrHjfuZtiwFkOBGCCGEECVzfhNossCtDng1MXVp8pHgxox17dqVV199tVKPefnyZVQqVYkXsCyJUaNGMXDgwArbP8C0adNo2bJlhR5DCCGqrTP3NElVgYUy7yfz3IhyFRAQQGxsLB4eHqYuihBCiIqQmwXnNuoeN6p6/W1Aam5EObO0tMTHxwcrK4mbhRDCLF3aDtkp4OxLrHMT9lyMJzYpw9SlMiDBjZlIS0tjxIgRODk54evry8cff5wvT3Z2NhMnTqR27do4OjrywAMPsG3bNv3rixcvxtXVlQ0bNtC4cWOcnJzo3bs3sbGx+jxarZb33nsPf39/bG1tadmyJevXr9e/fn+zVGJiIk899RSenp7Y29tTv359Fi1apM9/7do1hg4dSq1atXB3d2fAgAFcvnxZ/7pGo2HChAm4urri7u7OxIkTKWqt16SkJOzt7Q3KBLBy5UocHR1JTU0FdKufN2jQAAcHB+rUqcM777xDTk5OofstqIlv4MCBjBo1yujrGx0dTf/+/alVqxaOjo40bdqUtWvXFnpMIYSokk7/CcB5ty6Ez97Gkwv+JXzWFpYfiDFxwe6S4MZI6Tnphf5kabKMzpuZm2lU3pJ644032Lp1K6tWrWLjxo1s27aNQ4cOGeR5+umn2b17N7/88gvHjx/n8ccfp3fv3pw/f/5uedLT+eijj/jxxx/ZsWMHMTExvP766/rXP/vsMz7++GM++ugjjh8/Tq9evXjkkUcM9nGvd955h8jISNatW8fp06f56quv9E1W6enpdOvWDScnJ3bs2MGuXbv0AVV2djYAH3/8MQsXLuT7779n165d3L59m1WrVhV6HdRqNQ8//DBLly41SP/5558ZMGAATk5OADg7O7N48WIiIyP57LPPWLBgAZ9++mkJrnh+xV3fF198kaysLHbs2MGJEyeYPXu2vjxCCFEtaDVwVvelbPr5umj/+66pVeDNlSerTA2OtB0Y6YGfHyj0tc61OzP/ofn6511/7UpGbsFvcJh3GIt636256L2iN4lZifnynRh5wuiypaam8v333/PDDz/Qo0cPAJYsWYK/v78+z8WLF1m2bBlXr17Fz88PgNdff53169ezaNEiZsyYAUBOTg5ff/01devWBWDcuHG89957+v189NFHTJo0iWHDhgEwe/Zstm7dyty5c5k3b16+ssXExNCqVSvCwsIACA4O1r/2yy+/YGFhwXfffYfqvw5pixYtwtXVlW3bttGzZ0/mzp3LlClTGDx4MABff/01GzZsKPJ6PPXUU4wYMYL09HQcHBxITk5mzZo1rFixQp/n7bff1j8ODg7mtddeY/ny5UycOLHIfRfGmOsbExPD4MGDadasGQB16tQp1bGEEMJkYvZCegI5Nq7sy2xk8JJGUbgcn46v2t5EhbtLghszcPHiRbKzs+nQoYM+zc3NjYYNG+qfHz58GEVRaNCggcG2WVlZuLu76587ODjoAxsAX19f4uLiAEhOTub69euEh4cb7CM8PJxjx44VWLbnn3+ewYMHc/jwYXr27MnAgQPp2LEjAIcOHeLChQs4OzsbbJOZmcnFixdJSkoiNjbW4LysrKwICwsrsmnq4YcfxsrKij///JNhw4axYsUKnJ2d6dmzpz7P77//zty5c7lw4QKpqank5ubi4uJS6D6LY8z1ffnll3n++efZuHEjDz30EIMHD6Z58+alPqYQQlS6038BkFOvJ9ojVnDPn2JLlYpgDwcTFcyQBDdG+vfJfwt9zdLC0uD5tiHbCs1roTJsCVw/eH0hOY1X1I0+j1arxdLSkkOHDmFpaVjee5tGrK2tDV5TqVT59q+6b9ifoij50vL06dOH6Oho1qxZw+bNm+nevTsvvvgiH330EVqtljZt2uRrQgLw9PQs9pwKY2Njw2OPPcbPP//MsGHD+Pnnnxk6dKi+k/O+ffsYNmwY06dPp1evXqjVan755ZcC+ynlsbCwyHcd7u2jY8z1feaZZ+jVqxdr1qxh48aNzJw5k48//piXXnqp1OcqhBCVRlH0sxI7NH+UmSGhvLnyJBpFwVKlYsag0CpRawMS3BjNwdr4aLSi8hamXr16WFtbs2/fPgIDAwFdR95z584REREBQKtWrdBoNMTFxdG5c+dSHcfFxQU/Pz927dpFly5d9Ol79uyhXbt2hW7n6enJqFGjGDVqFJ07d+aNN97go48+onXr1ixfvhwvL69Ca018fX3Zt2+f/ni5ubkcOnSI1q1bF1nWp556ip49e3Lq1Cm2bt3K//3f/+lf2717N0FBQbz11lv6tOjo6CL35+npadCxWqPRcPLkSbp16wYYf30DAgIYO3YsY8eOZcqUKSxYsECCGyFElRSblEFUfBohHo66oOX6YUi+CtaOULcbQ63t6dLAk8vx6QR7OFSZwAYkuDELTk5OjBkzhjfeeAN3d3e8vb156623sLC4W0vUoEEDfV+Ujz/+mFatWhEfH8+WLVto1qwZffv2NepYb7zxBlOnTqVu3bq0bNmSRYsWcfTo0QJrXwDeffdd2rRpQ9OmTcnKyuLvv/+mcePGgC4AmTNnDgMGDNCPwIqJiWHlypW88cYb+Pv788orrzBr1izq169P48aN+eSTT7hz506x5YyIiMDb25unnnqK4OBg2rdvr3+tXr16xMTE8Msvv9C2bVvWrFlTZCdlgAcffJAJEyawZs0a6taty6effmpQDmOu76uvvkqfPn1o0KABiYmJbNmyRX8thBCiKll+IIYpK0+gVcBCBTMHNWNo4mrdiw16grUukPFV21epoCaPBDdmYs6cOaSmpvLII4/g7OzMa6+9RlJSkkGeRYsW8f777/Paa69x7do13N3d6dChg9GBDej6jSQnJ/Paa68RFxdHkyZN+PPPP6lfv36B+W1sbJgyZQqXL1/G3t6ezp0788svvwC6/j07duxg0qRJDBo0iJSUFGrXrk337t31NTmvvfYasbGxjBo1CgsLC0aPHs2jjz6a79zup1KpeOKJJ5gzZw7vvvuuwWsDBgxg/PjxjBs3jqysLB5++GHeeecdpk2bVuj+Ro8ezbFjxxgxYgRWVlaMHz9eX2uTp7jrq9FoePHFF7l69SouLi707t27zCO0hBCivMUmZegDG8gbCXWCwZ4rdUFD00GmLJ5RVIoxHTbMSHJyMmq1mqSkpHxNIZmZmURFRRESEoKdnZ2JSiiEjnwehRCmsOdiPE8uMOxn2lJ1gdW27+qapCZe1NfcVKai7t/3k3luhBBCCKEX4uGIxX1jRPpZ7tM9aNjHJIFNSUlwI4QQQgg9X7U9Mwc1w/K/UbBWKoUnnA7rXmz6qAlLZjzpcyOEEEIIA0PbBupHQtXPjsRx+Q2wcYJ6D5m6aEaR4EYIIYQQ+ehHQq3/bw28hn3Bunr0/5NmqQLUsD7WooqSz6EQwuS0Wji1Wve4mjRJgQQ3BvJm501PL/nClUKUt7zP4f2zRgshRKW58i+kXAdbF6j7oKlLYzRplrqHpaUlrq6u+rWUHBwcCl1WQIiKoigK6enpxMXF4erqmm85ByGEqDSn/pvgtBo1SYEEN/n4+PgA6AMcIUzF1dVV/3kUQohKp9VA5B+6x9WoSQokuMlHpVLh6+uLl5eXwcKIQlQma2trqbERQphWzD5IvQG2aqjbrfj8VYgEN4WwtLSUm4sQQoiaK69JqtHDYGVr2rKUkHQoFkIIIYQhTc7d4KaaNUmBBDdCCCGEuN+lbZAeDw7u1a5JCiS4EUIIIcT9jv+q+910EFhWv+koJLgRQgghxF3ZaXBmje5x8yGmLUspSXAjhBBCiLvOrIWcNKgVDP5tTV2aUpHgRgghhBDEJmWw52I8mUeW6RKaPQ7VdCJbGQouhBBC1HDLD8QwZeUJXJVk9ttuBRXQrHo2SYHU3AghhBA1WmxSBlNWnkCrQF/Lf7FSaTmpDSHWJsDURSs1CW6EEEKIGiwqPg2tons80HI3AKs0HbkcX30XkZbgRgghhKjBQjwcsVCBvyqOMItzaBUVa7UdCfZwMHXRSk2CGyGEEKIG81XbM3NQMx613APAXqUprw7qgq/a3sQlKz3pUCyEEELUcEPDAsjZewRuQ9PeYwhvG2jqIpWJ1NwIIYQQNV3sMaxvnwdLW1xbDzZ1acpMghshhBCipjv239w2DfuAndq0ZSkHEtwIIYQQNVlu9t21pFr9z7RlKScmD27mz59PSEgIdnZ2tGnThp07dxaZf+nSpbRo0QIHBwd8fX15+umnSUhIqKTSCiGEEGbm/AbIuA1OPlCn+q0AXhCTBjfLly/n1Vdf5a233uLIkSN07tyZPn36EBMTU2D+Xbt2MWLECMaMGcOpU6f47bffOHDgAM8880wll1wIIYQwE0d/1v1uMRQszWOckUmDm08++YQxY8bwzDPP0LhxY+bOnUtAQABfffVVgfn37dtHcHAwL7/8MiEhIXTq1InnnnuOgwcPVnLJhRBCCDOQGgfnNuget3zKtGUpRyYLbrKzszl06BA9e/Y0SO/Zsyd79uwpcJuOHTty9epV1q5di6Io3Lx5k99//52HH3640ONkZWWRnJxs8COEEEIIdH1tFA3UDgPPhqYuTbkxWXATHx+PRqPB29vbIN3b25sbN24UuE3Hjh1ZunQpQ4cOxcbGBh8fH1xdXfniiy8KPc7MmTNRq9X6n4CA6rtWhhBCCFFuFAWOLtU9bvmkactSzkzeoVh133LqiqLkS8sTGRnJyy+/zLvvvsuhQ4dYv349UVFRjB07ttD9T5kyhaSkJP3PlStXyrX8QgghRLUUewziIsHSFkIHmbo05cpkPYc8PDywtLTMV0sTFxeXrzYnz8yZMwkPD+eNN94AoHnz5jg6OtK5c2fef/99fH19821ja2uLra1t+Z+AEEIIUU3EJmUQFZ9GiIfj3WUV8joSN3oY7GuZrnAVwGQ1NzY2NrRp04ZNmzYZpG/atImOHTsWuE16ejoWFoZFtrS0BHQ1PkIIIYQwtPxADOGztvDkgn8Jn7WF5QdiIDcLTvw3t40ZdSTOY9JmqQkTJvDdd9+xcOFCTp8+zfjx44mJidE3M02ZMoURI0bo8/fv35+VK1fy1VdfcenSJXbv3s3LL79Mu3bt8PPzM9VpCCGEEFVSbFIGU1aeQPvf93+tAm+uPEni0b8gIxGcfaGuecxtcy+TDmgfOnQoCQkJvPfee8TGxhIaGsratWsJCgoCIDY21mDOm1GjRpGSksKXX37Ja6+9hqurKw8++CCzZ8821SkIIYQQVVZUfJo+sMmjURQ48pPuSfOhYGFZ+QWrYCqlhrXnJCcno1arSUpKwsXFxdTFEUIIISpMbFIG4bO2GAQ4tVW32WX3MipFC+MOgkd90xWwBEpy/zb5aCkhhBBCVAxftT0zBzXD8r9RyJYqFV83i9QFNkGdqk1gU1LmMc+yEEIIIQo0tG0gXRp4cjk+nWA3W3wX6UYcnwsYjHNSxt3RU2ZEam6EEEIIM+ertqdDXXd84/dC8lUSFSf6b651d/SUmZHgRgghhKghMvd9D8BKTWeysNGPnopNyjBxycqXBDdCCCFETZByA9tLGwFYprk7/FujKFyOTzdVqSqEBDdCCCFETXDkJ1SKhoPaBlxQ/PXJlioVwR4OJixY+ZPgRgghhDB3Wi0c/gEATauRBqOnZgwKNbtOxTJaSgghhDB3UdvgTjTYqXmg3xh2PYhu9JSHg9kFNiDBjRBCCGH+Di3W/W4+FKzt8VVjlkFNHmmWEkIIIcxZ6i04s1b3uM0okxalskhwI4QQQpizw0tAmwP+bcG7qalLUykkuBFCCCHMlSYXDi7UPW77rGnLUokkuBFCCCHM1bl1kHwNHDyg6UBTl6bSSHAjhBBCmKv93+p+txkJVramLUslkuBGCCGEMEe3zkLUDlBZQJunTV2aSiXBjRBCCGGO9i/Q/W7YF1wDTFuWSibBjRBCCGFGYpMy+Pd0FNqjP+sS2tWcjsR5ZBI/IYQQwkwsPxDDlJUneMpiIw9Yp5HsGIJLSISpi1XppOZGCCGEMAOxSRlMWXkCraIwwnITAJ/e6UJscqaJS1b5JLgRQgghzEBUfBpaBTpYRFLf4hqpih2/aTpzOT7d1EWrdBLcCCGEEGYgxMMRCxWMtNwIwCpNJzJUjgR7OJi4ZJVPghshhBDCDPiq7fm8lys9LQ4C8JO2FzMGhZr1ApmFkQ7FQgghhJnol/EnqBQS/SJYPHR4jQxsQIIbIYQQwjxk3IEjPwFQ68FXoIYGNiDNUkIIIYR5OPwDZKeCZ2Oo+6CpS2NSEtwIIYQQ1Z0mF/79Rve4w4ugUpm2PCYmwY0QQghR3Z3+A5KvgqMnNHvc1KUxOQluhBBCiOpMUWDPl7rHbZ8BazvTlqcKkOBGCCGEqM6u/AvXD4OlLYSNMXVpqgQJboQQQojqbO883e8WQ8HJ07RlqSIkuBFCCCGqq9tRcOZv3eP2L5i2LFWIBDdCCCFEdbX3S1C0ULc7eDU2dWmqDAluhBBCiOooNU4/aR+dxpu2LFWMBDdCCCFEdbTvK8jNBP+2ENzJ1KWpUiS4EUIIIaqbzCQ48J3ucafxNX7SvvtJcCOEEEJUNwcXQlYyeDSEBn1MXZoqR4IbIYQQojrJyYS983WPO70KFnIrv59cESGEEKI6OfYzpMWBiz+EPmbq0lRJEtwIIYQQ1YUmF3Z/pnvc8SWwsjFteaooCW6EEEKI6iJyNSReBns3aD3c1KWpsiS4EUIIIaoDrRZ2fap7/MBYsHE0bXmqMAluhBBCiOrgzN9w8yTYOEO7Z01dmirNytQFEEIIIUTBYpMyiIpPI8TdHt/tH+oSH3gOHNxMW7AqToIbIYQQogpafiCGKStPoFWgl+UBvrE+ATZO0OFFUxetypNmKSGEEKKKiU3K0Ac2oPCy5UoAUluOkVobI0hwI4QQQphAbFIGey7GE5uUke+1qPi0/wIb6GFxiKYW0aQqdpwOHlHJpayepFlKCCGEqGT3NjlZqGDmoGYMbRuofz3EwxELFWgVhVesdLU2P2p6MrB2bVMVuVqRmhshhBCiEhk2OYFWgTdXnjSowfFV2zNzUDN6Wh4m1OIyaYotPn1ex1dtb6JSVy8S3AghhBCV6N4mpzwaReFyfLpB2tCwAObV3gSA0vZZHg1vUVlFrPYkuBFCCCEqUV6T070sVSqCPRwME8+uwzruOFg74NRtfOUV0AxIcCOEEEJUorwmJ0uVLsKxVKmYMSjUsMlJq4Et/6d7/MBz4OhhgpJWXyYPbubPn09ISAh2dna0adOGnTt3Fpk/KyuLt956i6CgIGxtbalbty4LFy6spNIKIYQQZTe0bSC7Jndj2bPt2TW5m0FnYgBO/A5xkWCnhvBXTFPIasyko6WWL1/Oq6++yvz58wkPD+ebb76hT58+REZGEhgYWOA2Q4YM4ebNm3z//ffUq1ePuLg4cnNzK7nkQgghhPH0Mw17OOpraHzV9gV3EM7Nhq0f6B6HvwL2tYrcj8hPpSiKUny2ivHAAw/QunVrvvrqK31a48aNGThwIDNnzsyXf/369QwbNoxLly7h5mbcJEZZWVlkZWXpnycnJxMQEEBSUhIuLi5lPwkhhBCiCMUN+85n/wJY+zo4esErR/ULZJZ4P2YmOTkZtVpt1P3bZM1S2dnZHDp0iJ49exqk9+zZkz179hS4zZ9//klYWBgffvghtWvXpkGDBrz++utkZOSfACnPzJkzUavV+p+AgIByPQ8hhBCiMMYM+zaQnQY75ugeR0zUBzZF7aeoyQBrKpM1S8XHx6PRaPD29jZI9/b25saNGwVuc+nSJXbt2oWdnR2rVq0iPj6eF154gdu3bxfa72bKlClMmDBB/zyv5kYIIYSoaEUN+y6wWenfbyD1JrgGQeuRxe5n0a7LfLfrUo2tzSmMyWcoVqkMx8MpipIvLY9Wq0WlUrF06VLUajUAn3zyCY899hjz5s3D3j7/B8XW1hZbW9vyL7gQQghRjLszDd9NK3DYN0BGIuyeq3vc7U2wsilyPxagD2zgbm1OlwaeNb4/jsmapTw8PLC0tMxXSxMXF5evNiePr68vtWvX1gc2oOujoygKV69erdDyCiGEECVl1LDvPLs/h8wk8GwMzR4vdj/PdA4xajLAmshkNTc2Nja0adOGTZs28eijj+rTN23axIABAwrcJjw8nN9++43U1FScnJwAOHfuHBYWFvj7+1dKuYUQQoiSGNo2kC4NPLkcn06wh0PBgU3SNdj33+Ca7u+AhWWx+wH4bleUcbVCNYxJ57mZMGEC3333HQsXLuT06dOMHz+emJgYxo4dC+j6y4wYcXcF1CeffBJ3d3eefvppIiMj2bFjB2+88QajR48usElKCCGEqAp81fZ0qOteeHPRlv+D3AySvNoS69PNqP2UqFaohjFpn5uhQ4eSkJDAe++9R2xsLKGhoaxdu5agoCAAYmNjiYmJ0ed3cnJi06ZNvPTSS4SFheHu7s6QIUN4//33TXUKQgghRNlcPwrHlgEw/MojnJy91eiOwUbVCtVAJp3nxhRKMk5eCCGEqFCKQtb3fbG9uofVmo68mjMO0NXC7JrcTYKVe1SLeW6EEEKIGu/sOmyv7iFLsWZOzlB9snQMLhsJboQQQghT0OTApncBWKTpzTU89S9Jx+CykeBGCCGEMIVDiyHhPDi449V3inQMLkcmn8RPCCGEqHEyk2Dbf2sodp3CoHZN6dC0jnQMLicS3AghhBCVbdssSE8AjwbQZhRQxCrhosSkWUoIIYQoZ0UuZhl3WreGFEDvmWBpXbmFqwGk5kYIIYQoR8sPxOhX8M63mKWiwLqJoGigUT+o95BpC2umpOZGCCGEKCexSRn6wAbuLmapr8GJXA1RO8DKDnp9YLJymjsJboQQQohyEhWfVvhiltlpsOFtXWL4q1AruLKLV2NIcCOEEEKUkxAPRyxUhmn6OWt2fgLJV0EdCJ1eNUn5agoJboQQQogyuLfzcKGLWWpiYc/nug16zwBrGRVVkaRDsRBCCFFKhXUeNljM0sUOfh4Kmmyo003XkVhUKAluhBBCiFIorPNwlwaehnPWRP4B5zeAhTX0+RBUqsJ3KsqFNEsJIYQQpVBk5+E8mUmwdqLucafx4Nmg8gpYg0lwI4QQQpRCkZ2H8/zzf5B6A9zqQufXKreANZgEN0IIIUQpFNp5OK856soBOPCd7nG/T8HazkQlrXmkz40QQghRSvk6D+cFNpoc+PtVQIEWT0CdCFMWs8aR4EYIIYQogwIXvNw7D26eBHs36CkzEVe2EjdLjRo1ih07dlREWYQQQojq73aUbtVvgJ7vg6O7actTA5U4uElJSaFnz57Ur1+fGTNmcO3atYoolxBCCFH9aLXw50uQmwHBnaHlk6YuUY1U4uBmxYoVXLt2jXHjxvHbb78RHBxMnz59+P3338nJyamIMgohhBDVw6GFcHknWDvAI5/LnDYmUqrRUu7u7rzyyiscOXKE/fv3U69ePYYPH46fnx/jx4/n/Pnz5V1OIYQQompLjIaN7+oePzQN3OqYtDg1WZmGgsfGxrJx40Y2btyIpaUlffv25dSpUzRp0oRPP/20vMoohBBCVG2KAn+Og5w0COwIbZ81dYlqtBIHNzk5OaxYsYJ+/foRFBTEb7/9xvjx44mNjWXJkiVs3LiRH3/8kffee68iyiuEEEJUPYcWQdQOsLKHAV+ChUwjZ0olHgru6+uLVqvliSeeYP/+/bRs2TJfnl69euHq6loOxRNCCCGquDsxsPEd3eOHpoJ7XdOWR5Q8uPn00095/PHHsbMrfKbFWrVqERUVVaaCCSGEEFWeVgt/jIPsVAjsAO2eM3WJBKUIboYPH14R5RBCCCGqn33zIWq7bnTUgHnSHFVFyLsghBBClMaNE/DPdN3jXh9Ic1QVIssvCCGEECUQm5TB5Zu3CdswBmtNNjTsC22eNnWxxD2k5kYIIUSNEJuUwZ6L8cQmZZR6H8sPxBA+awunf5iAdcJZMmzd4ZEvZLK+KkZqboQQQpi95QdimLLyBFoFLFQwc1AzhrYNLNE+YpMymLLyBOGq44y2Wg/AuNQxvJ/riG9FFFqUmtTcCCGEMGt5QYlW0T3XKvDmypMlrsGJik9DrSTzkfXXACzJ7cE/mpZcjk8v7yKLMpLgRgghhFmLik/TBzZ5NIpS4qAkxN2eT6y/xlt1hwtaP2bmPomlSkWwh0M5llaUB2mWEkIIYdZCPByxUGEQ4JQmKPE99R2+lkfJVKwZl/MyOSo7ZgwKxVdtX84lFmUlwY0QQgiz5qu2Z+agZry58iQaRcFSpSp5UBLzL2zWDfvOfGgGU/0GE+zhIIFNFSXBjRBCCLM3tG0gXRp4cjk+veRBSfpt+H00KBoIfQzXTs/SQUZHVWkS3AghhKgRfNX2Ja9pURRY/QIkXwW3utB/rgz7rgakQ7EQQghRmL1fwrl1YGkLjy8GW2dTl0gYQYIbIYQQoiBRO2HTVN3j3jPBt7lpyyOMJsGNEEIIcb+kq/DbKF0/m+ZDIWy0qUskSkCCGyGEEOJeOZmwfDikx4NPM+g3V/rZVDMS3AghhDCZ8ljvqVwpCqx9Da4fBvtaMHQp2MgkfdWNjJYSQghhEuWx3lO5O7gQjvwEKgt4bCGxFl5EXYwnxMNR5rSpRiS4EUIIUekKW++pSwNP0wUR0Xth3STd4+7vsvx2PaZ8t6VqBV/CKNIsJYQQotKV13pP5eZ2FCx/CrQ50GQAsaHPlctim8I0JLgRQghR6fLWe7qXyRahzEyCZcMgPQF8W8DAr4hKSK9awZcoEQluhBBCVLq89Z4s/xuFVKr1nsqDJhd+expunQFnX3jiF7BxrFrBlygx6XMjhBDCJMq03lN52fAmXPwHrOzhiWXg4geU02KbwmQkuBFCCGEypVrvqbzsXwD7v9E9HvQt+LUyeLlKBF+iVCS4EUIIUfOcWQPrJuoed38XmjxSYDaTBl+i1Eze52b+/PmEhIRgZ2dHmzZt2Llzp1Hb7d69GysrK1q2bFmxBRRCCGFeYv6F30eDooVWw6HTBFOXSJQzkwY3y5cv59VXX+Wtt97iyJEjdO7cmT59+hATE1PkdklJSYwYMYLu3btXUkmFEEKYhVvnYNlQyM2EBr1laQUzpVIURSk+W8V44IEHaN26NV999ZU+rXHjxgwcOJCZM2cWut2wYcOoX78+lpaWrF69mqNHjxp9zOTkZNRqNUlJSbi4uJSl+EIIIaqT5Fj4vickxUDtMBj5J9g4mrpUwkgluX+brOYmOzubQ4cO0bNnT4P0nj17smfPnkK3W7RoERcvXmTq1KlGHScrK4vk5GSDHyGEEDVMZhIsfVwX2LjVhSeXS2BjxkwW3MTHx6PRaPD29jZI9/b25saNGwVuc/78eSZPnszSpUuxsjKuL/TMmTNRq9X6n4CAgDKXXQghRDWSnQY/D4WbJ8DRC4avBEcPU5dKVCCTdyhW3dfWqShKvjQAjUbDk08+yfTp02nQoIHR+58yZQpJSUn6nytXrpS5zEIIIaqJ3Cz45SmI2Qu2avjfCqgVbOpSiQpmsqHgHh4eWFpa5quliYuLy1ebA5CSksLBgwc5cuQI48aNA0Cr1aIoClZWVmzcuJEHH3ww33a2trbY2tpWzEkIIYSoujS5ulFRl7aCtSP873fwbW7qUolKYLKaGxsbG9q0acOmTZsM0jdt2kTHjh3z5XdxceHEiRMcPXpU/zN27FgaNmzI0aNHeeCBByqr6EIIIao6rRb+eAHO/A2WtrrZhwPambpUopKYdBK/CRMmMHz4cMLCwujQoQPffvstMTExjB07FtA1KV27do0ffvgBCwsLQkNDDbb38vLCzs4uX7oQQogaTKuFNRPg+HKwsIIhP0CdCFOXSlQikwY3Q4cOJSEhgffee4/Y2FhCQ0NZu3YtQUFBAMTGxhY7540QQgihlxfYHFoEqHTLKjTsbepSiUpm0nluTEHmuRFCCDOl1cLfr8LhJaCygIFfQ4uhpi6VKCfVYp4bIYQQojRikzLYczGe2KSMu4laLfz18t3A5tFvJLCpwWThTCGEENXG8gMxTFl5Aq0CFiqYOagZQ9v4w18vwZGf/gtsvoXmj5u6qMKEpOZGCCFEtRCblKEPbAC0Cry78igZv465G9gMWlCmwKbAWiFR7UjNjRBCiGohKj5NH9gA2JLNPKvPsD9zRDcqatACCB1U6v0XWCvUNrAcSi4qm9TcCCGEqBZCPByx+G8Ce0cyWGz9IQ9ZHkGxtINhy8oU2BRUK/TmypNSg1NNSXAjhBCiWvBV2zNzUDPcVakstfmADpaR5Fg5ohq+Ehr0LH4H97m3Cer+WiEAjaJwOT69nEovKpM0SwkhhKg2htaHQb5zsL59Ca2dG9YjVoJfqxLv5/4mqEm9G2GhwiDAsVSpCPZwKMfSi8oiNTdCCCGqtLwallvn98N3D2F9+zw4+2ExZn2pApuCmqA+XH+WSX0aYfnfws2WKhUzBoXiq7Yvz1MRlURqboQQQlRZeTUs4arjfGU9F1SZ4NUEnvod1LUL3S6vqSnEwzFfgFJYE1Tz2q7smtyNy/HpBHs4SGBTjUlwI4QQokrKq2EZZLGdmVbfYa3SsFfbhJDHVuOj9i50u+JGPeV1TC6oCcpXbS9BjRmQZikhhBBVUtStFF61/JWPrL/BWqVhlSacEdmTiUop/Hu5MaOe8jomSxOU+ZKaGyGEEFVPdhqt9r1KR6s1AMzPfYQ5uUOwUFkW2cm3qFFP9wYvQ9sG0qWBpzRBmSkJboQQQpRYUX1ayizpKix7Avsbx9FYWDMlawy/aroYVcNSVJPT/aQJynxJcCOEEKJEKnQm3ysH4JcnIS0OHDywHLaU8eoWPFpMDcu9wdbMQc14c+VJNIoiTU41lAQ3QgghjFZYn5YuDTzLFkAoChxaDOsmgiYbvEPhiWXgGogvFLnvgoItGfVUs0mHYiGEEEarkJl8czLgz3Hw96u6wKZRPxi9AVyLrw0qLNgC6FDXXQKbGkpqboQQQhitJH1ajJIYDb8Oh9hjulW9u78L4a/CfyOZimNsB2JRs0jNjRBCCKOV6zDqcxvh2whdYGPvBv9bCZ3GGx3YgOFimnlk2QQhNTdCCCFKpMzDqHOzYct7sOcL3XO/VjDkR3ANKHFZ8oIt6UAs7iXBjRBCiBIr9TDqxGj4fTRcO6h73u7/QY//A2u7UpdF5qwR95PgRgghROU4tRr+fBmyksBODQPmQeP+5bJrmbNG3EuCGyGEMEKFTlpXxZX53DOTYd0kOPaz7rl/W3hsoVGjoYQoDQluhBCiGBU6aV0BqlIgVeZzj94DK5+DpBgUlQXXmj6H5YNv4uvqUnGFFjWejJYSQogiGLMQY3lafiCG8FlbeHLBv4TP2sLyAzEVcpw8sUkZ7LkYX+D5lOncc7Ng01RY1BeSYki1r83QrLfpdLAz4XN2Vvh5iZpNam6EEKIIlTmPSoXN/luI4mplSn3uVw/BHy/CrdMApDd9go6Hu5OsOFTKeQkhNTdCCFGEypxHpUJm/y2EMbUyJT73nAzY+A58/xDcOo3GwYMzEfPZ0vBdfWCTp6LOSwiQ4EYIIYpUrpPWFaOqBVIlOvfovfB1J9jzOShaLvs9TNvED+i9wZWXfj7C/dPyyUR7oiJJs5QQQhSjsuZRqcwJ6YxdRqHYc0+/DZunweEluudOPtx+cDYP/mat37cCqEB/PJloT1Q0CW6EEMIIlTWPSlUMpAo8d0WB47/ChjchPV6X1mo49HyfM9dz0Sr/GmYHvhjWCncnW5loT1Q4CW6EEKKKqfKB1K1zsO4NuLRN99yjIfSfC0EdAQjxyCiwVqhNcC0JakSlkOBGCCFqsBIFUpnJsH02/Ps1aHPByg66vAEdXwYrG4N9ynpPwpQkuBFCCFE0rRaO/6KbtyYtTpfWoA/0ngFudQrcRNZ7EqYkwY0QQojCRe+FjW/BtUO65+71oPcsqN+j2E1lvSdhKhLcCCFENVThSzQkXITNU+H0X7rnNk4QMREeeN6gCUqIqkiCGyGEqGaMXe+pVAFQWjzsmAMHvtP1q1FZQOsR0PVNcPYu5zMRomJIcCOEECZU0gDE2CUaSrzgZWYS7J2n+8lO1aXV7wk93gOvxmU5RSEqnQQ3QghhIqVZcduY9Z5KtEZVdjocWAC7PoWMRF2abwt4aDrU7VYepylEpZPgRgghTKC0i2QaM7OwUQteZqfDoUWw+zNIvalL82gA3d6CJgNAdf+CCUJUHxLcCCHMRoV3si3H45d2xW1j5pApMgDKToeDC3VBTd6wbnUAdJ0CzYeCpdwWRPUnn2IhhMmVR1BSmiae8lTS4xu7tlNBiptDpqAAaE7/IHxPfK3rU5N2S5dRHQidJ0DLp6rMCChTB6jCPKgURVGKz2Y+kpOTUavVJCUl4eLiYuriCFHjlUdQEpuUQfisLfkChV2Tu1XKDbK0x19+ICZfDUx5BmSxSRlcuxJNo+ifcDq+BLKSdS+4BkGX16H5sAKDGlMFGKYOUEXVVpL7t9TcCCFMprT9Tu5X2iae8lLa41foLL7xF/DdNw/fI0tBk6VL82wE4a9Cs8fA0rrAzUwVYJTXZ0EIkOBGCGFC5RWUlKWJpzyU5fjlOouvosDlXbqmp3Pr7qb7t4VOE6BBb7CwKHRzUwYYpg5QhXkp/FMuhBAVLC8ouFdpgpK8PiaW/43wqeyFGk19fHIy4ejP8G0ELOl3N7Bp0AdGrYExm6BR3yIDGyg6wKho5fVZEAKk5kYIYUIlWT26uH4gZWniKY8+JiZZKPLOFd3Ip8NLID1Bl2ZlDy2fhPYvgEe9Eu3OlDVgspK4KE/SoVgIYXKxSRlFBgVl6QdSXOBS7TqxajVwcatujpqza0HR6tLVARD2NLR5GhzcSr37iu7kXJziPgui5irJ/VuCGyFElVaWkVDFBS5l2XeljyhKjoWjP8GhHyAp5m56SAS0+3+6/jTlNEeNBBiiKpLRUkJUIJmHo3KVtqOpMZ1jS7vvSqvt0eTA+Y1w5Cc4twEUjS7dTg0tnoQ2o8CrUbkftlw7OQthAhLcCFEC1a4JwwyUth+IMYFLafZdKSOK4k7rAprjy+9OuAcQ0F7X9NRkAFhXreBDgn5RlUhwI2qsilqNWZSv0nY0NSZwKc2+K2zIcspNOPk7HPsFbhy/m+7oBS2GcaveYM4r/rrPaxULbCToF1WNyYOb+fPnM2fOHGJjY2natClz586lc+fOBeZduXIlX331FUePHiUrK4umTZsybdo0evXqVcmlFtVdRa3GLCpGaUYiGRu4lHTf5TqiKDMZzqyBE7/Bpa13OwdbWEODXtDqf1DvIZYfjmXKghNolWtVLniQoF9URSYNbpYvX86rr77K/PnzCQ8P55tvvqFPnz5ERkYSGJj/P+6OHTvo0aMHM2bMwNXVlUWLFtG/f3/+/fdfWrVqZYIzENVRRa7GLMrP/TVrpekHYmzgUpJ9l3nIcnY6nN8AJ1fAuY13Zw8G8G8HLYZC00H6EU9VPXiQoF9URSYNbj755BPGjBnDM888A8DcuXPZsGEDX331FTNnzsyXf+7cuQbPZ8yYwR9//MFff/0lwY0wWkWuxizKR3k2c1RE51hjg6a8AK2OGnxu7oTIP3QBTU7a3UweDSD0Md2SCO518+2jqgcPEvSLqshkwU12djaHDh1i8uTJBuk9e/Zkz549Ru1Dq9WSkpKCm1vhczpkZWWRlXX3m1FycnLpCizMRkWuxizKrqrXVOQpLmhaueckO9cspafFAdQWx0CVffdF10AIHawLarybgkpV6H6qevAgQb+oikwW3MTHx6PRaPD29jZI9/b25saNG0bt4+OPPyYtLY0hQ4YUmmfmzJlMnz69TGUVlacyRlyU9Y+xDJOtWFW9pqJISdfg7FqyTv5F/+hdDLLW6F+KVrxwb/s4Tq0eA79WRQY096oOwYME/aKqMXmHYtV9/8EVRcmXVpBly5Yxbdo0/vjjD7y8vArNN2XKFCZMmKB/npycTEBAQOkLLCpMZY64kD/GVVdVr6kwoNVC7FE4tx7OrtOPcrIFUMFZrT+btG1Yp3mAU0oQyxp3INjJgahLCSUK4KvD51WCflGVmCy48fDwwNLSMl8tTVxcXL7anPstX76cMWPG8Ntvv/HQQw8VmdfW1hZbW9syl1dULFM0Rcgf46qpytdUZCbplj+4sAnOb4bUe/+GqcC/LckhvRj4jyuXtL76VyxVKo5fu8NT3+0rVQBfXp9XmY9G1AQmC25sbGxo06YNmzZt4tFHH9Wnb9q0iQEDBhS63bJlyxg9ejTLli3j4YcfroyiikpQVZsi5EZgGlWqpkKr1dXIXNwCFzZDzL67MwUD2DhB3W66Fbjr9wQnT1yA51wM12ia2Lshs9edMWlfIpmPRtQUJm2WmjBhAsOHDycsLIwOHTrw7bffEhMTw9ixYwFdk9K1a9f44YcfAF1gM2LECD777DPat2+vr/Wxt7dHrVab7DxE2VXFpoiqcCOoycGVSWvWkq7BpW26gObS1rsrbudxr68LZOo/BEHhYJW/dvj+AM3UAXx16agtRHkwaXAzdOhQEhISeO+994iNjSU0NJS1a9cSFBQEQGxsLDExdxeI++abb8jNzeXFF1/kxRdf1KePHDmSxYsXV3bxRTmqak0RVeFGUBWCq+KYTfCVfhsu74RL2yFqOyRcMHzdxglCukDdB6F+D6gVbNRu7w/QTBnAmzq4EqIyyargokqpKqsR77kYz5ML/s2XvuzZ9nSo617hxy/LatVlOWZJApXqEHwVKiMRovfA5V26oObGSeCei62y0I1oqvug7se/LVhal/mwyw/E5AvgK+uameIzJUR5klXBRbVVVTr5mrqZrLK/ZRcUqHRp4FlosFMVarZKJOUmxOyB6L26oObmfcEMgGcjCImAOhG6piZ713Ivhin7ElW12lEhKpIEN0IUwNQ3gsoMrgoKVCavOIHqv+MXVCtTVPCV97rJmqoUBeLP6Tr+XvlX9/v2xfz5PBpAcCcI7qz77XR3SonYpAyirsdXyDmYMoCvUh21hahAEtyIfMymH0UZ1ZRv2QUFKgq6GAEKrpUpLPgqy1DnUstKhWuH4Op+uHIArh6AjNv3ZVKBdygEdSDRM4wL9s3xDwgu8HpW6+Y2I1SV2lEhKpIEN8KAuf9hL6ma8C27oEDlfvc3iRUUfFXKUGetBm6dhWsH4epBXVATF3l3Ne08VnZQuw0EPACBHSCgLdjXuufzfQkL1aV8n+9q19wmhCiQBDdCT/6wm1ZBNWaVEVzdH6hY8F/NzT15CmoSq/ChzooCiZfh+hG4fhiuH9X9ZKfkz6sO0HX6DWin++3THKxsDLIY8/mu7iOKpNZVCB0JbsxIWf+wVfc/7NWZqWvM7g9Udpy7ZVSTWLkNdVYUSIyC2GO6ACb2qO5xRmL+vNaOULv1fz9h4B8GLn7FHsKYz7epO5KXhak/Q0JUJRLcmIny+MNWnf+wV2dlrTErr2/r9wYqpWkSM7qfUG62rsPvjeMQe1z3+8YJyErOv1NLG11fGb9WumDGr5VuVJOFZYnPz5jPt6k7kpeW1LoKYUiCGzNQXn/Yqusf9uquLDVmFfltvTRNYvmCIstU3TpMN0/phl/fOAm3zoA2J//Gljbg3RR8W4JfS91vr8YFzv5bGsZ+vqvjiCKpdRXCkAQ3ZqA8/7BVxz/s1V1pa8yq1Lf1rFRdR9+4SHzjTuMbd0oX0KTdKji/rQv4NNP1jfFtrvvt2bBcJsorirGf7+o2okhqXYUwJMGNGSjvP2zV7Q97dVfaGjOTfFvPTtMFMbfO6H7izsCt03AnppANVOAWAl5NdAGMT6iumck1EFSqiiljMczx8y21rkIYkuDGDMgftuqvNDVmFfZtXVF0C0XGn9P93DqnC2Tiz0HSlcK3c/LWNSN5Nfnvd1PwagQ2jmUrjzCK1LoKcZesLWVGqsq6TKZQU4fAlmmtopxM3QilhAsQfx4SLuoCmITzBY9SyuPoqevU69lIF7x4NgLPxuBY8WtuCSFqLllbqoYyx+p2Y9TkIbDFflvX5MCdGG5fOc2dq2fwzrmKY2q0LqBJupp/8js9la7pyKM+eDQEzwb//W4IDm4Vfl5CCFEWEtyIaq1Kdao1EV8HFb7Ot+BGFERGwe1L/9XIXNT1hVE0uAEFhiS2LuBeF9zrg3u9/4KZBro065px/YQQ5keCG1GtVdUhsOXaTKYokBavm61X/xOl+307ClKuF7l5hmJDtOLNZcWHKMWHaMWX15/si0dgE91ikSbq2CuEEBVFghtRLkzV56UqDoEtVTNZVoquliUxGu5E/xfA3PM4J73o7W2cdaOS3ELArQ7UCgH3uhxMceXxpVHoFlW4a4Bdczycq38fmZra10oIUTQJbkSZFXYzr4wbT1UbKVZYM1lEiAM+2nhdAHMn2vB3YnQBq1jfTwUutaFWELgG6YKYWv8FM7WCwcG9wBqY2kkZqFTRKFUo+CsvNbmvlRCiaDJaSpRJbFIG4bO25Ks5mdjn7grRlXHjMflIsaxUSLrC6dMnWbpxN/6qW/f8xOOhKmBpgfvZ19J14q0VrAtgagWBa/B/zwNKPVNvmUZUVVGFfe52Te4mNThCmCkZLSUqTWF9XmatO6OvLaiMTr4VPlIsKwXuXPmvxuXe2pcY3dwv6QkANAbeL2SS3VxrJxTXIKzdQ8A1kCRbH66rvPDwb4Cnf32wq5hg2xznP6mqfa2EEFWDBDeiTArq82IB1e/Gk51+X+ByT5PRnRgjmo0AOzW4BnJV8WTTNRtiFE9i8aR+wyb8cFohKdMRi1SY2a4ZwD1NKjeYOciToW0rribx/uCvtE2GpdmuIponq2JfKyFE1SHBjSiTgvq8TOzdkNnrz1StG49WA8nXdZ1z9R12L+uCl8TLkBZX/D7sXHXNRq6BumYj/eNAXbORnRoAf6D3f81kDjYWPDp/j0EfnCkrTsA9N+bKHr5e2r4qpdmuovrFVLW+VkKIqkWCG1FmBTV7uDpYV/6NJzdbF7jcvnTPT5Ru2PSdGNBkF729rcs9fV3uDWICdI//C16MkVdTsudifL5aLC2AiWq2SjsvUGm2q+g5iMyxuU0IUT4kuBHl4v5mjwq78Wg1ukAl4aJult2EC3D7ohEz7gIWVnc77N7baTfvsX2tcp/zpbBmOyqwSaWoZqDS9lUpzXaV0S+mps7KLYQomgQ3osKU6caTk6Fb7+jWWYg/+98ijv+tf6TJKnw7a0fdPC95c77Uuue32h8sLEtXnlIqrPkEqJCareKagUrbV6U020m/GCFqnv2x+1lwYgEP13mYgfUGmqwcMhRcmFZutm6hxpuREBcJcafh1mldX5j7227+k6VYcVnx4bLiS2CDZjRu2lq3XIBb3So7425BQ9XLe/i6scOjSzs0vDTbmeMwdCFE4XK1uRy7dYyEjAR6Bvcs132X5P4twY0olVKNgEmLhxvH4cZJuHECbp7U1chocwvOb19Lt+K0RwPwbMht+0AeXX6LK4on2v9m3JW5Te7aczGeJxf8my992bPt6VDXcDbi0gZWpdnO5HMQCSHMgsxzIyqUUSNgUm/B9cMQewyuH9X9Tr5a8A5t1eDVGLybgFcTXUDj2QgcPQxqYc5cjCdaMbx5F9aHoyZOy1+SZqDSNhmWZjvpFyOEqGwS3IgSKWgEzPSVh+nueAmPxOO6gObaIV2n34K41QWfUPBu9t/vUF1fGCOakoy9edfUaflleLQQwpRWX1jNyfiTDKg7gGaezUxaFgluRIlExadRS0mircVZ2lico43FOUJVUdj8qrkvp0rXnOTXCnxb6H58mpVpFl5jbt4VPfy4qpPh0UIIU/nr4l/sv7GfEHWIBDeiGki5AZd3QfRu2l7aySG78/myaBw8sQx8APzDoHYb8G1ZIcsJFHfzlmn5pRlICFH5UrJTOHzzMABdancxcWkkuKkWKr3/SFYKXN4Nl7bpfm6d1r+Ut2zSGW0AB7QNOaI04MGe/enXpUOpRimV5tyKunnL8GMhhKh8e67vIVfJJUQdQoBLgKmLI8FNVVcp/UcURTcM+/xGOL8Zruy7bwSTStekFNwJgsIhqCPqHHvqxafzUBmaPiri3KTfiRBCVL4dV3cAVaPWBiS4qdIqtP9IbhZE7YAzf8P5TZB8zfB1tzoQEgF1ukJIF3BwM3jZF0pchntraYAKOzfpdyKEEJVHo9Ww8+pOACICIkxcGh0JbkysIqbKL1Rmsq525szfuhqa7JS7r1nZQ0hnqN8T6j2km9W3HN1fS/NMp5AK7Rsj/U6EEKJynEw4SWJWIs7WzrT0amnq4gAS3JhUWabKN7qvSnYanFsPJ1fqamjuXbrA2Rca9oGGfXVNTtYVEwwUVAP13c6oKtk3pibOjyOEEGVxJ/MOtZ1qE+oRirWFdfEbVAIJbkzEmCanwvqP7Dh3q+i+KppcuLgFji2Ds+sgN+Pua+71oPEj0Kifbpi2hUWFn2tBNVBa4P91qsP3u6KqTN+Y6jA/jgRfQoiqJiIggi7+Xci4915jYhLcmIixTU739x8BDNYPMgiKMi7A0WVw4jdIi7u741rB0HQQhA7STZpXyWsvFVYD9XSnYJ7uFFwl+sZUh/lxqkPwJYSomVQqFQ7WVWdUqgQ3JlLaqfL3XIw32MaRDB6x2IPzkg/g9sm7Lzh4QLPHofkQXQ2NCReTLG4EU1UIHsrSv6kyalOqQ/AlhDBfOdocjsYdZe/1vaTnpmNvZY+DlQOZmkz+1/h/1LKrZeoiGpDgpgIVddMr7ZDlvKCoMVE8ZbmZAZZ7cFRlwW3A0kbXh6bFE7pOwZZVo+0Tqv4IptLOj1NZtSkyOaEQwpSeXv80x24dK/C1ZaeX8V74ezwU9FAll6pwEtxUEGNueiW+4Wty8b26nn99PsMz8Yg+OdkxGJfwZ3VBjaN7ETswrao8gqk0wWZl1qaY2+SE0ndIiKpFo9VwNvEsR+OOcjTuKMfjj7PykZX6pqbWXq2JTo6mU+1O+Dj6kJGbQUZuBuk56dhZ2dHWp62Jz8CQBDcVoCQ3PaNu+Bl34NBi2L8Akq/iCSgW1iQE9kbVdjTuTbqZtNnJXJQ02KzM2hRzmpxQ+g4JUbmSspI4dusY2ZpsQj1C8XH0AeDinYtsvbKVgzcPcizuGKk5qQbbnYw/STvfdgCMbTGWV1q/gqWFZaWXvzQkuKkA5XbTS7kBe+fBwUV356Rx8ICw0ajajsHD2afMZa0O36Ars4wlqV2q7NqUqt60ZwzpOyRExUvOTmbPtT0cvHmQQzcPceHOBf1rc7rMoXdIbwD2xe7js8Of6V9zsnaihWcLWnq1pJVXK4PFL6tSZ2FjSHBTAcp604uLPoN211y8L61ElTcvjVcT6DAOQgeDtZ1R+ykuKKgO36CrchlNUZtSlZv2jCF9h4SoWFtjtjJxx0QyNZkG6SHqEFxtXfGw99CntfNpR4+gHrTxbkMb7zbUd61fbWpmiiPBTQUo9U3vTgyXVkwlMGY1ViotAPG1WuLRe4pu5uASzElTXFBQkm/QpqrdqQ7f8s2hNqUymVvfISGKoygKcelxXEq6RI42hy7+d9demrJzCipUBLgEEOAcQKBzII7WjlxKuoS1hTVdA7rq807fOx2NVoOHvQdqWzUWKgssVLp7gqe9Jz2DewLQxL0JOdoc6qjr0NGvI22829DKqxXu9vn7Y9avVZ9Pun5SsRfARCS4qSAluuklX4cdH6Ec/oE62hxQwXZNc+blDuDQjcbs8onAtwSBjTFBgbHfoE1Zc1JdvuVX99qUymROfYeEAF3worqnz+PS00u5mnKV25m3iUmOISo5irScNADqudYzCG4iEyK5lHSpwP0292xuENxsiNpASk5KoXnzghtvR29WDlhJiEuIQblqGgluKlCxN72MO7DzY/j3G9BkoQJ2akL5NPcxDisN9NlKejM3Jigw5hu0qWtOyvtbfnXoX1QTSG2XqK6Ss5O5dOcSF+5c4HTCaSITIrGxtGFJnyX6PCvPr+Rc4jmD7SxVlgQ4B9DYrbFB+vg247lw5wJXUq4QkxxDTEoMaTlpBLsE08StiT6foii8FvYa8RnxJGQmkJSVhKIo5P0LdDb8wllHXacCzr56keDGFHKz4dAi2DYLMm7r0gI7kvDA64z8KbPMN3NjggJjvkGbuuakPL/lV+W+OzWR1HYJgJtpN9l/Yz8tPFsQ6FIx/x8zczPZcHkDv579lXc7vEtDt4ZA/hqXokzbM42dV3cSlxGX7zUbCxtytDn6NZUeqfsIiZmJuNq64u/sT4g6hEDnQKwLmHesa0BXg9qZwqhUKgY3GGxUWYWOBDeVSVHgzBrY9C7cvqhL82wEPd6D+j1xV6mYOSimzDdzY4OC4r5BV4X+EeXxLd/UNVBCiPzOJ57n8b8eR6NosLKwYniT4TzX/DkcrR0N8mm0Gs4kniEuLY7ErERuZ97mduZtFEXBz8mPeq716ODXAQCtoiUmOYbk7GSSspL4N/ZfVl9cTVJWEgC/nv2Vdzq8A8CGyxv47sR3dPbvjKIoZGmyyNZkk5abxrWUa/zQ5wd98JOUlaQPbLwdvKmjrkMjt0Y0cW9CU/emWKnu3kpHNh1Z4ddOFE+lKIpSfDbzkZycjFqtJikpCRcXl8o7cMJFWDcRLmzWPXf0hG5vQavhYGkYY8YmZZRLlX157Gf5gfzBVnWr8dhzMZ4nF/ybL33Zs+3pULfqTnooqo4cbQ57r+8lW5NNS6+WBiNOylNSVhJXUq5wNeUqIeoQfS1DRVEUhZPxJ0nMSiTEJQQ/J78CR8scvnmYTdGbSMhM4HbGbRIyE0jJTqGVVyv61+1PR7+OWFkY/h27mXaTkwknuZN5h9ScVNJy0tAoGl5q9ZL+2AP/GEi2JpurqVcB8LD3YHyb8fSr00/fWfZW+i0e/O3BQs+hrU9bFvZaCECuNpdWP7bKl8fX0ZchDYcwsN5A/Xv34j8vsuPqjkL3+9fAvwhWBwO6vjG52lxC1CE42zgXuo2oWCW5f0twU9Gy02HXJ7D7M9Bko1jacK3xGKwiXsPH07Pij18OyivYMpXYpAyDxUZBVwO1a3K3Up1PjianwCpmUXpXUq6w69ouXGxc8HLwIsglCC8HLwCyNdlcS71GanYqCgqN3RoXev33XN/DwRsHsbeyx8XGBRdbF5xtnPF19CXIJSjfDRggIzeDS3cuYWVhRbA6GFtLW4PXTyecZtyWccSl322SCHYJpo13G5p6NOUBnwf0TSqnE07z58U/CVGHEOwSTLA6GE97zwKbP26k3WDv9b0cjz/O6YTTxKTEkJJ9t8PovfORXE+9zoU7F0jJTuFKyhV9AORo7UjXgK70Cu6F2lat3zY5O5ldV3ex49oOMnIyaOLehFCPUEI9QvX5Dtw4wFu73iI2LVa/nY2FDYEugfg4+jCu5TiaejQF4M+Lf/LWrrcKff8+6PQBj9R9BICPD37MpuhNXEu9li+fraUtB/93UP88NTsVR2tHdlzdwewDs7mScgWAUPdQlvVbps83dvNYkjKTcLN3o5ZtLdzs3QC4lnKNBrUa8FyL5/R5H/rtISxUFrjYuODv7M+j9R6lU+1O+YK2pKwk1kWt43zieWwsbbC1tNX9WNlSV12Xtj5tq93cLuauJPdvaZaqSOc2wprXICkGgFjPcJ66NohLB32xOLS/Svb7UBSFO1l3cLV11f9Brqz+EbfSb7H+8npytDkMqDugwKGLpVFQM92U/n58dXIm0cnRPNbgMXoH9y7whpmQkcCcg3O4lX6LuPQ4bmXcIi0njZaeLXm59cvlNuV4jjaH66nXuZF2g9ScVDr6dcTeSnfNszRZWKmsKmz+ifScdM7cPkNkQiQZuRlYqCxo6NaQTrU73S3ffQGdoihcSbnCsVvH8HX0JcwnDIA7mXfYemUrfk5+NHFvUuy33BxtDktOLeHrY1+TlTenEzCiyQjeaPsGABfuXGDo30P1rzlbO9PJvxMPBj5IJ79OONk46V/74dQP7L6+u8BjWVtYs3bQWv3srLP2z2L3td1EJ0ejoIt8LVQW+Dv5U9e1Lp90/QQrCyuCXILIyM3Azc4Nd3t3LiRe4HLyZS4nX2bF+RW80/4dfXCTnJ3MT6d/MjiuvZU99lb22Fja8ErrV+hXpx8Au6/tZtreafnK6WnvSW2n2gafrb8v/c0XR74o8Lx2XttJW5+2qG3V5GpzeX7z8xy8cZBcJVefZ8uVLYBh0FDbqTaxabE4WDng5+RHTHIM2dpsLty5wIU7Fwj3C9cHN629WvN006dxt3fX/di5Y2VhxZaYLWy9spXugd31x4pLj+Na6jXd56hWQ7wcvHC0dsTZxhlHa0e0ilZfK5P33kUERNDBrwM/Rv7It8e/5cztMyRnJ+Nio7uBff3Q1wWee0E2P77ZqHxqWzXDGg0zer+iejF5cDN//nzmzJlDbGwsTZs2Ze7cuXTu3LnQ/Nu3b2fChAmcOnUKPz8/Jk6cyNixYyuxxEZIvw3rp8DxX3TPXfxJ7DKd8BV2aBVdwFAe/T60ipYzt8/QyK2R/o/F6YTTXE6+TLeAbthZ5Z/sr7ARQ0lZSfx96W9+P/c7F+5coG9IX2Z3mV3ocW+m3SQ2LZbYtFh6BvfUd6bbeHkju6/vxkJlgZXKCn9n3Y2inms9vB28832DTc9J55+Yf/j70t/si92HVtHN77Pk1BI2PbYJG0ubfMe+nnqdy8mXuZpylaspVxnacCgBLgEAXEu9xpG4I9RzrUeIOkT/Lfz+vju3cy/x+d+rUVA4HHeYuYfm8kTjJ3is/mOkZKfo9+dm58aJWyeISYkxKMfRW0cZvWE0/ev0Z0bnGYCuhuHM7TOciD9BZEIkGkWDraUt1hbW2FraMrLpSH1txK5ru9hxdQexqbH6c7n3ZrTm0TX6G+YvZ37hx8gfeaTuIwysN5AA5wAuJV1i17VduNq6MqDeAP12s/bPQm2jxs3OjdtZt4lPj+dWxi0SMhNo5dmK19u+rs/73t73OHrrKBfvXNRf9zyD6g/SBzfZmmzCl4UT6BJII7dGJGYmciL+BHey7gAwoc0EfXBzNfUq7+55V7+fYJdgmno0pal7Uxq5NaKxW2P9De1k/Emm7ZnG2cSzADT3aI6dlR1x6XH4O/vr9+Fs44yztTNONk5k5maSmJXIuqh1rItap/vMDd6Ir5MvAEMaDsHNzg1LC0tSslNIzk4mOSuZKylXUFD01x/Qf47y3meNoiEpK4mYFN1NPq+Wx8Hage96fkc913rYWNqQlJXEkbgjHLp5iPOJ53Gzc9Pvs466DiOajNAFP0mXuZZ6Tb8GT961zNPSqyVtvNvQ3KM5oR6hhKhD8Hf21we197JQWRDsEoy7vTv+Tv4EOAfg7+xPbFos526fI0QdAoCVhRXZmmxylVzqquvSNaArbnZunEo4xamEU4R6hOr36efkx4KeC2jp2RI7Kzs0Wg2xabFEJUVxPfU6Lb1a6vP6O/szIWxCvnK19WnLxLYTDf5f/6/x/xhQbwAtPFvk6z9TFBtLG8Y0G8PjDR8nMTMRZ2tp/hGlZ9JmqeXLlzN8+HDmz59PeHg433zzDd999x2RkZEEBuav0YiKiiI0NJRnn32W5557jt27d/PCCy+wbNkyBg82rid5hTdLnVoNa1+HtFvctrTiWPOBOLUeScwdR177OQYU3c1aZXUHS8eLDGxrhco6EScbJ9zs3HTfDu3cae/bHlc7VwDWX17Pt8e/xQILbCxtsLawxsrCiot3LpKQmcAv/X6hqbvuG9Zbu97iz4t/4mztTJ+QPnQN6Iqfkx/eDt6sOXbbYMTQK30daByQw5YrW9h0eRPZ2rt/eGd0mkH/uv0BSMxMZMX5FcQkx3DxzkUu3LlAem66Pu/6weup7VQbgE8OfsKiU4sKvDSO1o6sG7SOWna1AF319U+RPxnc1Ft6tiRXm0uYTxivhb0GwIlbJ1hxfgXn75znQqLhsQE+6foJPYJ6ALDi3Ar9t2FLlSVBLkE0rNWQBm4NqO9an4iACP12i04uIj03nRXnVnAr45bufUGFs40zW4Zs0QdGB24cIC49Di8HLzztPbG0sGTJqSWsOLeCie0m8kSjJwD4v73/x6/nfi30o7HqkVXUq1UPgHlH5/H1McNvo3aWdvg5+eFs48yMTjP0wc3IdSM5HHdYn8/Nzo3bmbpRdk3cm7C833JAd+Nsu7RtvkAlT6/gXnwU8RGg66TZ8seW+tc87T0J9Qilll0tNFoNbbzb8Gj9RwFdf4N7a07y2FjY0Ni9MS+0fIGOfh0BuHTnEnMOziEqKarAZonxbcYzOnQ0iqLwv7X/43j8cdS2aia2nUj/Ov2LHb2iVbQcv3WcLVe2sDVmK5eTL/NK61d4ptkzxW4XnxFvENwciTtCRk4GDdwa4GHvgaIoJGQmcPHORdJy0ngwsPB+HsbK0eRwI+0GmZpMsjXZ+Dr5GgRDFeFU/ClcbFz0Afq97q01EaK6qTZ9bh544AFat27NV199pU9r3LgxAwcOZObMmfnyT5o0iT///JPTp0/r08aOHcuxY8fYu3dvgcfIysoiK+tudXdycjIBAQHlH9ykxsGa10g78xdbHO1ZW8uLvdaguedGk3VjANmJul79VuqD2Pv9XujuPu/2Od0CuwGwPmo9b+x4o8B8DlYOTO84Xd82/92J7/j17K8G7eh5tDlq0i5M0T93rDcbC+tE/fOGtRoyuMFgugV0w83OTV9rsuTUEj46+JHBvqxUVng7euPr6Mu7Hd7Vf3P8N/Zfjt86jkbRkK3J5nLyZS7euUhMcgy5Sq7Bt+w5B+bwQ+QPBDoH0q9OP/rV6UeASwCKopCjzdEff3P0ZsZvG68/trWFNUEuQfpvr/3q9KOJu25OiA2XN/Dz6Z+5cOcCydnJhmW2sGL1gNUEuQQZpOdoclh/eT0/RP7AmdtncLR2ZEGPBQbrqhTkSsoVvB289eVcdX4Vnxz6hGYezWjm0QwHaweyNdlka7PJ0mQxquko/Y1tX+w+9sfu1/cvCVGH4OXgVeCNJ0uTxdYrW1l9YTV7r+9Fq2ixsbAhzCeMTrU78b/G/0OlUpGek86yM8uITo4mMSsRdzt3POw98LT3xMPeA18nX/11ytZks+DEAhq5NSLUPRRvR+9Cz1NRFG6m3+R0wmnOJp7F2caZFp4taFirYZF9j25n3iYyIZKT8SeJTIjkzO0zTOs4TR8Inb19liWnlvB629dLfcO/mnIVB2uHCg8YhBCmVy2Cm+zsbBwcHPjtt9949NFH9emvvPIKR48eZfv27fm26dKlC61ateKzz+4u9LVq1SqGDBlCeno61tb5/9BOmzaN6dOn50sv9+DmxkmOLn6IZ73dybxnNuG66rpoFA0JGQn09B7Hj5td0SgKVnbXadR0Kx0CmuLv7E96bjq3M3RDHBMyExjeeDjdg3Tt2AkZCbqqe0XXRyFHm0O2JhsPew9aebXKd4PRKloO3DjAnxf/5PTt09xIu0FKdgqaTG/So+4GCXa1f6RBbS1tfZvxaP1HaeretMBvzt+f+J5TCaf0zUv1XOsR6BKob4oyRo4mh+jkaPyd/fXNZYmZiWRpsgpsrjK4tGk3+PXsrzSo1YD6teobdWxFUbiVcYtziec4l3iOs7fPcjX1Kv9r/D/6hPQpdJurqVdxt3MvVUfCXG0ulirLCp0V9GbaTa6mXqWJe5MCmy+qupLMLSKEEPeqFsHN9evXqV27Nrt376Zjx4769BkzZrBkyRLOnj2bb5sGDRowatQo3nzzTX3anj17CA8P5/r16/j6+ubbptJqboDMA98RcfYbvBx96FunL31D+hrUEiiKwo3kTJOMPLqUkECPuevR5Ljq08oyYkgIIYSoTNVqtNT93+KK+2ZXUP6C0vPY2tpia2tb4Gvlza7tM6xq3BdfR98Cy6NSqUw2M2sdd3dmPNJZ1vQRQghh9kwW3Hh4eGBpacmNGzcM0uPi4vD2Lrj938fHp8D8VlZWuLtXjcnY/Jz8TF2EQsmaPkIIIWoCk3Wbt7GxoU2bNmzatMkgfdOmTQbNVPfq0KFDvvwbN24kLCyswP42Ij9ftT0d6rpLYCOEEMJsmXRM4IQJE/juu+9YuHAhp0+fZvz48cTExOjnrZkyZQojRozQ5x87dizR0dFMmDCB06dPs3DhQr7//ntef/31wg4hhBBCiBrGpH1uhg4dSkJCAu+99x6xsbGEhoaydu1agoJ0nXBjY2OJibk7eVpISAhr165l/PjxzJs3Dz8/Pz7//HOj57gRQgghhPmTtaWEEEIIUeWV5P4tU1UKIYQQwqxIcFOOYpMy2HMxntikDFMXRQghhKixTD7PjblYfiDGYN2mqrjitxBCCFETSM1NOYhNytAHNnB3xW+pwRFCCCEqnwQ35SAqPk0f2OTRKAqX49ML3kAIIYQQFUaCm3IQ4uGIxX2rLViqVAR7lHzxRSGEEEKUjQQ35cBXbc/MQc2w/G89KVm3SQghhDAd6VBcTmTdJiGEEKJqkOCmHJlqxW8hhBBC3CXNUkIIIYQwKxLcCCGEEMKsSHAjhBBCCLMiwY0QQgghzIoEN0IIIYQwKxLcCCGEEMKsSHAjhBBCCLMiwY0QQgghzIoEN0IIIYQwKxLcCCGEEMKsSHAjhBBCCLNS49aWUhQFgOTkZBOXRAghhBDGyrtv593Hi1LjgpuUlBQAAgICTFwSIYQQQpRUSkoKarW6yDwqxZgQyIxotVquX7+Os7MzKpWqXPednJxMQEAAV65cwcXFpVz3XRWY+/mB+Z+jnF/1Z+7nKOdX/VXUOSqKQkpKCn5+flhYFN2rpsbV3FhYWODv71+hx3BxcTHbDy2Y//mB+Z+jnF/1Z+7nKOdX/VXEORZXY5NHOhQLIYQQwqxIcCOEEEIIsyLBTTmytbVl6tSp2NramrooFcLczw/M/xzl/Ko/cz9HOb/qryqcY43rUCyEEEII8yY1N0IIIYQwKxLcCCGEEMKsSHAjhBBCCLMiwY0QQgghzIoENyXwwQcf0LFjRxwcHHB1dTVqG0VRmDZtGn5+ftjb29O1a1dOnTplkCcrK4uXXnoJDw8PHB0deeSRR7h69WoFnEHREhMTGT58OGq1GrVazfDhw7lz506R26hUqgJ/5syZo8/TtWvXfK8PGzasgs+mYKU5x1GjRuUrf/v27Q3yVNf3MCcnh0mTJtGsWTMcHR3x8/NjxIgRXL9+3SCfKd/D+fPnExISgp2dHW3atGHnzp1F5t++fTtt2rTBzs6OOnXq8PXXX+fLs2LFCpo0aYKtrS1NmjRh1apVFVX8YpXk/FauXEmPHj3w9PTExcWFDh06sGHDBoM8ixcvLvD/ZGZmZkWfSqFKco7btm0rsPxnzpwxyFdd38OC/p6oVCqaNm2qz1OV3sMdO3bQv39//Pz8UKlUrF69uthtqsT/QUUY7d1331U++eQTZcKECYparTZqm1mzZinOzs7KihUrlBMnTihDhw5VfH19leTkZH2esWPHKrVr11Y2bdqkHD58WOnWrZvSokULJTc3t4LOpGC9e/dWQkNDlT179ih79uxRQkNDlX79+hW5TWxsrMHPwoULFZVKpVy8eFGfJyIiQnn22WcN8t25c6eiT6dApTnHkSNHKr179zYof0JCgkGe6voe3rlzR3nooYeU5cuXK2fOnFH27t2rPPDAA0qbNm0M8pnqPfzll18Ua2trZcGCBUpkZKTyyiuvKI6Ojkp0dHSB+S9duqQ4ODgor7zyihIZGaksWLBAsba2Vn7//Xd9nj179iiWlpbKjBkzlNOnTyszZsxQrKyslH379lX4+dyvpOf3yiuvKLNnz1b279+vnDt3TpkyZYpibW2tHD58WJ9n0aJFiouLS77/m6ZS0nPcunWrAihnz541KP+9/5eq83t4584dg/O6cuWK4ubmpkydOlWfpyq9h2vXrlXeeustZcWKFQqgrFq1qsj8VeX/oAQ3pbBo0SKjghutVqv4+Pgos2bN0qdlZmYqarVa+frrrxVF0X3Qra2tlV9++UWf59q1a4qFhYWyfv36ci97YSIjIxXA4MO1d+9eBVDOnDlj9H4GDBigPPjggwZpERERyiuvvFJeRS210p7jyJEjlQEDBhT6urm9h/v371cAgz/OpnoP27Vrp4wdO9YgrVGjRsrkyZMLzD9x4kSlUaNGBmnPPfec0r59e/3zIUOGKL179zbI06tXL2XYsGHlVGrjlfT8CtKkSRNl+vTp+ufG/n2qLCU9x7zgJjExsdB9mtN7uGrVKkWlUimXL1/Wp1W19zCPMcFNVfk/KM1SFSgqKoobN27Qs2dPfZqtrS0RERHs2bMHgEOHDpGTk2OQx8/Pj9DQUH2eyrB3717UajUPPPCAPq19+/ao1Wqjy3Hz5k3WrFnDmDFj8r22dOlSPDw8aNq0Ka+//rp+dfbKVJZz3LZtG15eXjRo0IBnn32WuLg4/Wvm9B4CJCUloVKp8jW9VvZ7mJ2dzaFDhwyuK0DPnj0LPZ+9e/fmy9+rVy8OHjxITk5OkXkq872C0p3f/bRaLSkpKbi5uRmkp6amEhQUhL+/P/369ePIkSPlVu6SKMs5tmrVCl9fX7p3787WrVsNXjOn9/D777/noYceIigoyCC9qryHJVVV/g/WuIUzK9ONGzcA8Pb2Nkj39vYmOjpan8fGxoZatWrly5O3fWW4ceMGXl5e+dK9vLyMLseSJUtwdnZm0KBBBulPPfUUISEh+Pj4cPLkSaZMmcKxY8fYtGlTuZTdWKU9xz59+vD4448TFBREVFQU77zzDg8++CCHDh3C1tbWrN7DzMxMJk+ezJNPPmmw4J0p3sP4+Hg0Gk2B/38KO58bN24UmD83N5f4+Hh8fX0LzVOZ7xWU7vzu9/HHH5OWlsaQIUP0aY0aNWLx4sU0a9aM5ORkPvvsM8LDwzl27Bj169cv13MoTmnO0dfXl2+//ZY2bdqQlZXFjz/+SPfu3dm2bRtdunQBCn+fq9t7GBsby7p16/j5558N0qvSe1hSVeX/YI0PbqZNm8b06dOLzHPgwAHCwsJKfQyVSmXwXFGUfGn3MyaPMYw9P8hfzpKWY+HChTz11FPY2dkZpD/77LP6x6GhodSvX5+wsDAOHz5M69atjdp3USr6HIcOHap/HBoaSlhYGEFBQaxZsyZfIFeS/Rqrst7DnJwchg0bhlarZf78+QavVfR7WJSS/v8pKP/96aX5P1lRSluWZcuWMW3aNP744w+DoLZ9+/YGHd7Dw8Np3bo1X3zxBZ9//nn5FbwESnKODRs2pGHDhvrnHTp04MqVK3z00Uf64Kak+6xopS3L4sWLcXV1ZeDAgQbpVfE9LImq8H+wxgc348aNK3bUR3BwcKn27ePjA+giWV9fX316XFycPmr18fEhOzubxMREg2/+cXFxdOzYsVTHvZex53f8+HFu3ryZ77Vbt27li7ALsnPnTs6ePcvy5cuLzdu6dWusra05f/58udwYK+sc8/j6+hIUFMT58+cB83gPc3JyGDJkCFFRUWzZssWg1qYg5f0eFsTDwwNLS8t83+bu/f9zPx8fnwLzW1lZ4e7uXmSeknwGykNpzi/P8uXLGTNmDL/99hsPPfRQkXktLCxo27at/vNamcpyjvdq3749P/30k/65ObyHiqKwcOFChg8fjo2NTZF5TfkellSV+T9Ybr13apCSdiiePXu2Pi0rK6vADsXLly/X57l+/brJOqP++++/+rR9+/YZ3Rl15MiR+UbYFObEiRMKoGzfvr3U5S2Nsp5jnvj4eMXW1lZZsmSJoijV/z3Mzs5WBg4cqDRt2lSJi4sz6liV9R62a9dOef755w3SGjduXGSH4saNGxukjR07Nl9nxj59+hjk6d27t8k6o5bk/BRFUX7++WfFzs6u2I6debRarRIWFqY8/fTTZSlqqZXmHO83ePBgpVu3bvrn1f09VJS7HadPnDhR7DFM/R7mwcgOxVXh/6AENyUQHR2tHDlyRJk+fbri5OSkHDlyRDly5IiSkpKiz9OwYUNl5cqV+uezZs1S1Gq1snLlSuXEiRPKE088UeBQcH9/f2Xz5s3K4cOHlQcffNBkw4ibN2+u7N27V9m7d6/SrFmzfMOI7z8/RVGUpKQkxcHBQfnqq6/y7fPChQvK9OnTlQMHDihRUVHKmjVrlEaNGimtWrWq9PNTlJKfY0pKivLaa68pe/bsUaKiopStW7cqHTp0UGrXrm0W72FOTo7yyCOPKP7+/srRo0cNhp1mZWUpimLa9zBvmO3333+vREZGKq+++qri6OioH1kyefJkZfjw4fr8ecNQx48fr0RGRirff/99vmGou3fvViwtLZVZs2Ypp0////buGCS5NY7j+P8NPSlkkCA5WeCQQ0QG1RJKi0sN7QaH5iJagraaohZzkailQWipaKmICHIIIQpECl4IKjJoiaYgocH/O9z7em9XX7gtnnz4fsBBeTj8H/7n4I/H8xx/6srKiuPbiP/v/La3t9Xlcmkmk/njtvylpSU9Pj7Wu7s7LRQKOjU1pS6X61PobaSvznFtbU339/f19vZWb25udGFhQUVE9/b2qmOauYe/TU5O6vDwcN1jfqcevr29Vb/rRERTqZQWCoXqbsrveg0Sbr7Atm0VkZrX2dlZdYyI6NbWVvV9pVLRxcVFDQaD2traqrFYrCapl8tlnZmZUb/fr16vV8fHx7VUKjVoVv94fX3VZDKpPp9PfT6fJpPJmu2Y/52fqurGxoZ6vd66zz0plUoai8XU7/erZVkaDod1dna25jkxjfLVOb6/v2sikdBAIKBut1tDoZDatl3Tn2bt4cPDQ91z+t/ntdM9zGQy2tXVpZZl6cDAwKfVItu2NR6Pfxqfy+U0Go2qZVna3d1dN3Tv7OxoT0+Put1ujUQin744G+0r84vH43V7Zdt2dczc3JyGQiG1LEsDgYAmEgnN5/MNnFGtr8xxdXVVw+Gwejwe7ejo0JGRET08PKw5ZrP2UPWv1V6v16ubm5t1j/edevh7helP59x3vQZ/qP59pw8AAIABeM4NAAAwCuEGAAAYhXADAACMQrgBAABGIdwAAACjEG4AAIBRCDcAAMAohBsAAGAUwg0AADAK4QYAABiFcAMAAIxCuAHQ9F5eXiQYDMry8nL1s4uLC7EsS05OThysDIAT+ONMAEY4OjqSiYkJyefzEolEJBqNytjYmKTTaadLA9BghBsAxpienpbT01MZHByUYrEol5eX4vF4nC4LQIMRbgAYo1wuS29vrzw9PcnV1ZX09fU5XRIAB3DPDQBj3N/fy/Pzs1QqFXl8fHS6HAAOYeUGgBE+Pj5kaGhI+vv7JRKJSCqVkuvra+ns7HS6NAANRrgBYIT5+XnZ3d2VYrEobW1tMjo6Kj6fTw4ODpwuDUCD8bMUgKaXy+UknU5LNpuV9vZ2aWlpkWw2K+fn57K+vu50eQAajJUbAABgFFZuAACAUQg3AADAKIQbAABgFMINAAAwCuEGAAAYhXADAACMQrgBAABGIdwAAACjEG4AAIBRCDcAAMAohBsAAGCUX2E61RysPmonAAAAAElFTkSuQmCC\n", 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" ] @@ -170,7 +161,7 @@ "def plot_denoise_results(β, N, ax):\n", " # Create the data\n", " x = np.linspace(-1, 1, num=N+1)\n", - " g, y = sample_p(5, x)\n", + " g, y = sample_with_noise(x, p5)\n", " s = smooth((x, y), β)\n", "\n", " ax.set_title(f\"{β=} and {N=}\")\n",