{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# How to remove K2 motion systematics with SFF?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can use `lightkurve` to remove the motion from K2 data. Targets in K2 data move over multiple pixels during the exposure due to thruster firings. This can be corrected using the self flat fielding method (SFF), which you can read more about [here](LINK?). There is a full tutorial on how SFF works [here](http://lightkurve.keplerscience.org/tutorials/motion-correction/replicate-vanderburg-2014-k2sff.html). Here we will show a quick tutorial on how to use the correct function for light curves.\n", "\n", "Let's download a K2 light curve of an exoplanet host star. Remember that for K2 data, we can use the same Kepler functions `KeplerTargetPixelFile` and `KeplerLightCurveFile` as they are the same instrument." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Downloading URL https://mast.stsci.edu/api/v0/download/file?uri=mast:K2/url/missions/k2/lightcurves/c13/247800000/87000/ktwo247887989-c13_llc.fits to /home/gb/.lightkurve-cache/mastDownload/K2/ktwo247887989-c13_lc/ktwo247887989-c13_llc.fits ... [Done]\n" ] } ], "source": [ "from lightkurve import search_lightcurvefile\n", "lcf = search_lightcurvefile(247887989).download() # returns a KeplerLightCurveFile\n", "lc = lcf.PDCSAP_FLUX # returns a KeplerLightCurve\n", "\n", "#Remove nans and outliers\n", "lc = lc.remove_nans().remove_outliers() \n", "\n", "#Remove long term trends\n", "lc = lc.flatten(window_length=401)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc.scatter();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This light curve is of the object [K2-133b](https://exoplanetarchive.ipac.caltech.edu/cgi-bin/DisplayOverview/nph-DisplayOverview?objname=K2-133+b&type=CONFIRMED_PLANET), which has a period of 3.0712 days. Let's plot the folded version of it to see what it looks like." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc.fold(period=3.0712).scatter();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see the hint of an exoplanet transit close to the center, but the motion of the spacecraft has made it difficult to make out above the noise. We can use the `correct` function on the lightcurve to remove this motion. An in-depth look into how the algorithm works can be found [here](http://lightkurve.keplerscience.org/tutorials/motion-correction/replicate-vanderburg-2014-k2sff.html). You can pass the following keywords to the `correct` function:\n", "\n", "* `polyorder` : *int*\n", " Degree of the polynomial which will be used to fit one centroid as a function of the other.\n", "* `niters` : *int*\n", " Number of iterations\n", "* `bins` : *int*\n", " Number of bins to be used to create the piece-wise interpolation of arclength vs flux correction.\n", "* `windows` : *int*\n", " Number of windows to subdivide the data. The SFF algorithm is run independently in each window.\n", "\n", "This [tutorial](gully-tutorial) will teach you more about how to tune these parameters. For this problem, we will use the defaults, but increase the number of windows to 20." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "corr_lc = lc.correct(windows=20)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now when we compare the two light curves we can see the clear signal from the exoplanet." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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4evQo+fn59OvXzzn9yJEjfPPNN0RFRYW03JycHCIjI+nTp4/b9IkTJxITE1OrPAejoqKC7OxsVq5cyXXXXcewYcOIjo5m165dLFmyhB9++IEXXnjhnOWnNj777DMGDBiA2Wxu6KwETQG9iIiISD2JiIigX79+rFixwi2gX7VqFfHx8SQkJNTp+i6++OI6XV5NPv/8c5YvX87vf/97brzxRuf01NRUfvWrX7Fhw4ZaLb+iooIzZ87QokWLap+dPHmSVq1a1Wr5zYUCehEREZF6NHjwYN566y0efvhhZ2C6YsUKBg0axPfff18tfVFREe+//z4FBQWYTCbS0tK4//77SUpKAiArKwuAGTNmMGPGDABeeOEFUlNTeeCBBxgwYABjx451Lm/t2rXMmzePnTt30rp1awYOHMi9997rfDqQn5/PxIkTefbZZ7FarWzYsIGYmBgyMzO5/fbb/W7bggUL6N69u1sw72Aymbjyyiud/586dYrZs2ezcuVKjh49SqdOnbjjjjsYMmSIM81rr73Gjz/+yH333cfMmTOx2+2MHz+etm3bMnHiRP70pz+xbNky/v3vf9O3b1/+/Oc/A7Bs2TIWLlzIrl27iI2NxWKxcPfddxMeHu5c9oEDB5g5cyb//ve/KS0tpX379tx00038+te/5oEHHqC4uJjFixezePFiAB599FGuv/76gJdfWFjI3/72N3bs2EFiYiL33Xef331XlxTQi4iISLP244/w9dcwYABceum5X/+VV17Jm2++SV5eHunp6RQXF7NlyxYefvjhagH9vn37mDBhAh06dOCxxx6jvLycuXPn8tRTT/Hmm2/Stm1bpk2bxhNPPMHNN9/M4MGDAbjooou8rvtf//oXL774Itdccw333HMPe/fuZebMmezatYvnn3/eLe306dP5xS9+wQ033MCaNWv44IMP6Nq1K/379/e67P3797Nnzx7uuuuugPbDK6+8Ql5eHr/5zW/o0qULK1eu5NVXX6W8vJzrrrvOme7gwYP893//N8OHD6ddu3a0b9+eAwcOAPDWW28xZMgQbrrpJkwmEwCffvopM2bM4JZbbuH+++9n586dfPjhh5SXl3PvvfcCcPToUR5//HEAfvOb39CxY0d2797Nzz//DOCs0KSkpHDrrbcCkJiYGPDyDx06xJ///Ge6dOnChAkTOHbsGNOnT6esrCygfVNbCuhFRESkySkvh82boW1b8BHLOv3zn/Dpp7BjR8ME9K1atSI9PZ0VK1Y4fycnJ9OtW7dqaRcuXMiZM2f4y1/+Qtu2bQHo1asXDz30EIsXL2bUqFH07t0bgPbt2zv/9mXu3Ln06NGDCRMmOKfFxMTwyiuvkJ+fT2pqqnP6wIEDGTVqFABpaWls2LCB1atX+wzoHUF2u3btatwH27dvZ+3atYwdO5bMzEwArrjiCg4ePMicOXPcAvpjx47x7LPP0rNnz2rruuqqq5xBNEBpaSlz587l9ttvZ/To0QBcfvnlhIeH8/7773PbbbfRpk0bPv30U44cOcL06dPp0KEDgFsXqIsvvpgWLVpwwQUXuO3TQJe/cOFCAP785z8732GIi4tzPkGobxrlRkRERJocmw1eecX4OXjQf9r+/eGyy+Cqq2pe7sqV8OGHUBk/1pkhQ4awfv16ysrKWLFihVs3E1ebN28mLS3NGcwDJCQk0Lt3bzZv3hzUOsvKyti+fTsZGRlu0zMyMggPD6+2vMsvv9z5d1hYGMnJyc5A2puKigoAZ0u5PwUFBQBce+21btMHDRpEcXEx+/btc05r06aNWzDvyvOF1S1btlBWVsY111zD2bNnnT9paWmcOnWKoqIiAL777jvS0tKcwXygAl3+Dz/8QFpamtsLyVdccQXR0dFBrS9UaqEXERGRJqdFC4iIMH7CamievOYaGDgQaoo7jx6FuXOhqAguuABuvrnu8tuvXz+io6OZP38+RUVFDBo0yGu648eP071792rT4+Li2LVrV1DrPH78OBUVFcTFxblNDw8PJzY2lpKSErfprVu3dvs/IiKCEydO+Fy+o2XeNRj35dixY4SHh9OmTRu36Y68HTt2jPbt2wO4VWY8eX529OhRAB577DGv6ffv3+9M56tbkj+BLv/gwYPOLjr+8ltfFNCLiIhIk3PZZTBxIsTGGsF3TQJoRCYmxmjNb9sWevWqfR5dhYeHk5GRwYIFC+jduzcdO3b0kYcYDh8+XG36oUOHgh6OsnXr1phMpmrLO3v2LCUlJcTGxga1PE/t2rUjMTGRvLw87rnnHr9pY2JivK7XMU6967b5a/H3/Mwx38SJE712/XG0yLdp04aDNT3K8ZHvQJYfHx/PkSNHqn3ubVp9UEB/jowbN44wjyaEzMxMZz8yERERCZzJBHU9QmNYGPzHf0BFRWAVgGDdcMMN7Nu3j1/84hc+06SkpPD5559z9OhRZ2v2vn372LJlC3feeaczXUREBKdPn/a7vqioKLp168aqVaucL3oCrFmzhrNnz9K3b99abhEMGzaMt99+m6VLl/LLX/7S7bOKigpsNhsDBgwgJSUFMIbrHDp0qDPN119/TUJCgrN1Plh9+vShVatW7N+/n6uvvtpnun79+rFgwQKKi4t9DhUaERHBqVOnQlp+z549+ec//8nx48edTzo2btxIaWlpCFsVPAX050h2dvY560clIiIioauPYB6ge/fuTJo0yW+aW265hWXLlvGnP/2Ju+66yznKjWMYSYfk5GTWrVtHSkoKkZGRdOrUyWucMWrUKKZMmcK0adO47rrr+Pnnn5k1axb9+vVzeyE2VDfeeCMFBQW89dZbbNmyhfT0dOcXSy1dupRWrVoxYMAAunXrxsCBA3nvvfc4efIkF110EatWrWLjxo3853/+Z8jrb926NXfffTcffPABBw4cIDU1FZPJxN69e1m3bh1PP/00kZGR3HLLLXz55Zc8/fTTDB8+nI4dO/Lzzz+ze/du50u2nTt35rvvvuPf//43MTExdOjQgTZt2gS0/F//+tcsXryYyZMnc8cdd3Ds2DHmzp1b66cggVJALyIiItJItG/fnpdeeon333+f7OxswsLCSE1NZdKkSW79sceOHcu7777L5MmTOXXqlHMcek9XXXUVTz/9NPPmzeP5558nJiaGIUOGuI0UUxsmk4lx48ZxxRVXsGTJEl599VVOnTpF+/btGTBggNuTgfHjxzN79mwWLFjA0aNHSUpKYvz48T5fEA7UsGHDuPDCC/n0009ZtGgRERERdOzYkQEDBjjH/W/Tpg0vv/wys2bN4oMPPuDkyZMkJCRw0003OZdzzz33MH36dF588UXKysqc49AHsvz4+HgmT57Mf//3f/PSSy+RmJjI2LFj+eCDD2q1bYEyVTheUZZ6UVpayvDhw5k/f75a6EVERGqwc+dOsrOzGTduHJ07d27o7IjUq5rKe6BxpIatFBERERFpwhTQi4iIiIg0YQroRURERESaMAX0IiIiIiJNmAJ6ERERaTQc39ly9uzZBs6JSP1zlHPP7yoKlgJ6ERERaTTi4uIA2LZtWwPnRKT+Ocq5o9yHqtGOQ19aWsr8+fPZtm0b27Zt4+jRo4wcOZJRo0YFNH9ZWRkffvghq1atoqSkhOTkZO644w4GDRpUq7SulixZwn/9138RGRnJxx9/HNJ2ioiISJXo6GjS09NZtGgRYHwZU3h4eAPnSqRunT17lm3btrFo0SLnl3HVRqMN6EtKSliyZAldu3YlPT2dpUuXBjX/Cy+8wNatWxkzZgydOnVixYoVTJs2jfLy8mpfYBBMWocDBw4wY8YM4uPjz9nX+oqIiJwP7rzzTgBnUC/SXKWnpzvLe2002oA+ISGBnJwcTCYTR44cCSqgt9lsfPPNNzz++OMMHjwYgLS0NIqLi5kxYwbXXnuts7YfTFpXb731Fn379iUmJoY1a9bUwRaLiIgIGP2Jhw8fTlZWFocOHaK8vLyhsyRSp8LCwoiLi6uzLx1ttAG9yWQKed61a9cSFRVFRkaG2/Trr7+eV155hR9++IE+ffoEndbhq6++YtOmTbz99tvMnj075HyKiIiIb9HR0fqWdZEANNqAvjaKiopITk6u1rLetWtX5+eOID2YtACHDx/m3XffZcyYMbRr1y7gPAXaLadFixa0aNEi4OWKiIiIyPmtWQb0JSUldOzYsdr02NhY5+ehpAWYPn06ycnJ3HTTTUHl6b777gsoXTAv/oqIiIiINMuAvr6sXr2a9evX8/rrrwfdJWjGjBkBPTZU6zxgs4HVChYLmM0NnRsRERGRRq1ZBvSxsbHVWtahqrXd0foeTNqysjLeeecdbr75ZuLj4zl27BgAZ86cAeDYsWNEREQQGRnpNU/qBxgEqxVyc42/FdCLiIiI+NUsA/quXbuycuVKzp4969Y3vqioCIAuXboEnfbo0aMcPnyYTz/9lE8//bTaOkeOHMlVV13FpEmT6mWbzisWi/tvEREREfGpWQb06enpLFmyhDVr1nDttdc6p1utVuLj4+nZs2fQaePi4njhhReqreuTTz5h06ZNTJ48mTZt2tTjVp1HzGa1zIuIiIgEqFEH9DabjZMnT1JWVgbAjh07WL16NQD9+/cnMjKS/Px8Jk2axIgRIxg5ciQAZrOZyy67jLfffpvS0lISExNZuXIlGzduZPz48W4t8YGmbdmyJampqdXyuGzZMsLCwrx+JiIiIiJS3xp1QD99+nSKi4ud/69evdoZ0L/33nvO/url5eVUVFS4zTtx4kRmz57NnDlzKCkpITk5mSeeeIJBgwZVW08waUVEREREGhNThWckLHWqtLSU4cOHM3/+fL0UGyANciMiIiISeBwZFsrC9+7dG3Da9evXh7IKOY85BrmxWhs6JyIiIiKNX0gB/aOPPsqXX37pN82pU6d4++23mTJlSkgZk/OXxQJDh2qQGxEREZFAhNSH/vTp07z++uvYbDZ+97vfERMT4/b5jz/+yKuvvsquXbu8fguriD8a5EZEREQkcCG10P/1r3+la9eurFq1ikceeYTvvvvO+dnHH3/Mk08+ya5du7j++ut544036iyzIiIiIiLiLqQW+s6dO5Odnc3s2bNZsGABf/zjH7n55pv56aefKCgoIDY2lv/3//4fV199dV3nV0REREREXIQ8bGV4eDj33nsv/fv3Z8qUKfzv//4vAP369WPcuHHExcXVWSZFRERERMS7kLrcOJSWlrJ06VJKS0upqKigoqICu93Ojh076ip/IiIiIiLiR8gt9Js2beK1115j3759dO/enccee4yVK1fy97//nT/96U9kZWUxZswYWrRoUZf5bbLGjRtHWJh7/SkzM5PMzMwGypGIiIiINAchBfQzZ85kwYIFVFRUcNttt/Gb3/yGiIgIunbtSv/+/cnOzmbRokV8++23jB8/nq5du9Zxtpue7OxsfbGUiIiIiNS5kLrc/P3vfycuLo7nn3+ee++9l4iIqnpB3759efPNNxk0aBBFRUWMHz++zjIrIiIiIiLuQgroMzIyePPNN0lNTfX6eXR0NOPHj+fxxx+nZcuWtcqgiIiIiIj4FlKXmyeffDKgdIMGDSIlJSWUVYiIiIiISABqNcpNINq1a1ffqxAREREROW+F1EJfXFwcVPqEhIRQViMiIiLNlc0GVitYLGA2N3RuRJq0kAL6Bx98EJPJFHD6hQsXhrIaERERaa6sVsjNNf5WQC9SKyEF9H379vUa0JeXl7N//3727dtHRUUFvXv3dhsBR0RExI1aac9fFov7bxEJWUjR9osvvuj3c7vdzhtvvIHJZGLy5MmhrEJERM4HaqU9f5nNOuYidaReXopNTk7mmWeeYceOHcydO7c+ViEiIs2BxQJDh6qVVkSkFuptlJu2bdvSq1cvVq5cWV+rEBGRJs6GmalMwIZaakVEQlXvw1YePny4vlchIg3MZoOpU43fIsFw9LixWhs6JyIiTVe9vbH6008/kZ+fryErRc4D9doNWi9NNmt6L1JEpPZCCuhzcnJ8fnbixAl27dpFXl4e5eXl3HjjjSFnTkSahnoNyvTSZLOm9yJFRGov5IDeZDJRUVHhM02rVq0YNmwYt956a8iZa07GjRtHWJh7D6fMzEx6TnTpAAAgAElEQVQyMzMbKEcidadegzI14YqIiPgVUkD/6KOP+l5gRATx8fH06NGDyMjIkDPW3GRnZxMdHd3Q2RBpetSEKyIi4ldIAb1FLWUi4qoe+7mrC72IiIh/+hpXEam9euznri70IiIi/imgF5Haq8d+7upCLyIi4l9AAf2DDz4Y8gpMJhPvvvtuyPOLSBNQj/3c1YVeRETEv4AC+uLi4vrOh4iIiIiIhCCggP6zzz6r73yIiIiIiEgIwmpOIiIiIiIijZUCehERERGRJiyggP6ZZ57h73//u9fPSktLOXXqVJ1mSkREREREAhNQQJ+fn4/dbvf62ciRI3nnnXfqNFMiIiIiIhKYWne5qaiooKKioi7yIiIiIiIiQVIfehERERGRJkwBvYiIiIhIExbQOPRSe+PGjSMszL3+lJmZSWZmZgPlSERERESaAwX050h2djbR0dENnQ0RERERaWYCDui//PJLvvzyy2rTTSaTz88cFi5cGFruRERERETEr4ADeo1kIyIiInXFZgOrFSwWMJsbOjciTVtAAf1nn31W3/kQERGR84jVCrm5xt8K6EVqR33oRURE5JyzWNx/i0joFNCLiIjIOWc2q2VepK5oHHoRERERkSZMAb2IiIiISBOmgF5EREREpAlrtH3oS0tLmT9/Ptu2bWPbtm0cPXqUkSNHMmrUqIDmLysr48MPP2TVqlWUlJSQnJzMHXfcwaBBg0JO++2337J8+XIKCwvZv38/rVu3pkePHowYMYJLLrmkTrZbRERERCQYjTagLykpYcmSJXTt2pX09HSWLl0a1PwvvPACW7duZcyYMXTq1IkVK1Ywbdo0ysvLGTJkSEhpc3NzKSkp4de//jWdO3fm6NGjLFiwgMcff5xnn32Wfv361cGWi4iIiIgErtEG9AkJCeTk5GAymThy5EhQAb3NZuObb77h8ccfZ/DgwQCkpaVRXFzMjBkzuPbaawkPDw867dixY7ngggvc1nXFFVfw29/+lo8//lgBvYiIiIicc422D73JZMJkMoU079q1a4mKiiIjI8Nt+vXXX8/Bgwf54YcfQkrrGcwDREVFcdFFF7F///6Q8ioiIiIiUhsBtdDn5OSEvAKTycSIESNCnj8URUVFJCcnO1vWHbp27er8vE+fPkGn9eb48eP89NNPpKWl+c1TaWlpQHlv0aIFLVq0CCitiIiIiEjAAb3JZKKiosJtumsLuuMzz2kNEdCXlJTQsWPHatNjY2Odn4eS1pt33nmHEydOcNddd/lNd99999WYbyCoF39FRERERAIK6B999NFq0woLC1m6dCnt27dn4MCBtG/fHoB9+/axZs0a9u3bxy9/+Uu/rdtN3Ycffsjy5ct56KGHahzlZsaMGURHR9e4TLXOi4iIiEgwAgroLRaL2/9btmzhrbfeYvjw4YwYMaJad5V7772X+fPn88knn3D99dfXXW4DFBsb67Vl3THN0foebFpXOTk5zJ8/n3vuuYebb765xjxFR0cHFNCLiIiIiAQjpJdi58yZQ6dOnbj77rurBfMA4eHhjBo1ik6dOjFnzpxaZzJYXbt2xW63c/bsWbfpRUVFAHTp0iWktA45OTnMnTuXUaNG1djVRkRERESkPoUU0G/dutVroOupS5cubN26NZRV1Ep6ejplZWWsWbPGbbrVaiU+Pp6ePXuGlBZg3rx5zJ07l+HDhzNy5Mj62wgRERERkQCEPA693W6vkzT+2Gw2Tp48SVlZGQA7duxg9erVAPTv35/IyEjy8/OZNGkSI0aMcAbYZrOZyy67jLfffpvS0lISExNZuXIlGzduZPz48W5PFYJJu2DBAubMmcMVV1yB2Wxmy5Ytbvnt3bt3rbZXRERERCRYIQX0ffr0YePGjfzjH//gtttu85rmH//4B9u2baN///4hZ2769OkUFxc7/1+9erUzoH/vvfeIjIwEoLy8vNoIPBMnTmT27NnMmTOHkpISkpOTeeKJJxg0aFC19QSadv369QBs3LiRjRs3VlvOokWLQt5WEREREZFQmCo8I+EAbN++nSeffJJTp07RqVMn5yg3JpOJ4uJi1qxZw65du2jZsiUvv/wy3bp1q4+8NwmlpaUMHz6c+fPn66VYEREREQlYoHFkSC303bp14/nnn+evf/0rdrudjz76yDn+vKN+kJSUxGOPPXZeB/MiIiIiIvUt5D70vXr14u233yY/P5+CggIOHjxIRUUF8fHxpKSkkJaW5vYlUyIiIiIiUvdCDujB+FbYtLQ00tLS6io/IiIiIiIShJCGrfR0+vRpDh486PULmkREREREpP7UqoX+n//8J59//rnzS5iuu+46Hn30UQC+/vprvv76a+69916SkpJqn1MRERFpXGw2sFrBYgGzuaFzI3LeCqmF/uzZs/zlL3/hb3/7G7t27eKiiy6qNmxk586dWbduHV9//XWdZFREREQaGasVcnON3w3NZoOpU43fIueZkAL6zz77DJvNxoABA/if//kf3nzzzWppunbtSocOHcjLy6t1JkVERKQRslhg6FDjd0NrTJULkXMspC43X375JXFxcTzxxBO0atXKZ7qOHTuyc+fOkDPXnIwbN46wMPf6U2ZmJpmZmQ2UIxERkVoymxtPVxtHpaIxVC5EzrGQAvrdu3fTv39/v8E8QJs2bTh69GhIGWtusrOz9cVSIiIi9aUxVS5EzrGQuty0aNGCsrKyGtPt27eP1q1bh7IKEZH6pz63IiLSDIQU0Hft2pWtW7f6bX0vLi7mp59+4pJLLgk5cyIi9Up9bkVEpBkIKaC/4YYbKC0t5dVXX+XYsWPVPi8rK+PNN9/kzJkz/PKXv6x1JqVpUGOnNDmN6YU+Eak13YfkfBVSH3qLxcKGDRtYs2YNDz74IH369AGgsLCQF198kfz8fI4dO8bgwYO5+uqr6zTD0ng5GjtB3RiDonGcG4763IrUSmO7fOk+JOerkL9YasKECfzjH/9gwYIFzqEpd+/eze7du4mOjubuu+/mrrvuqrOMSuOnAQZCpDuQnAuNLfKSZqGxXb4siQUQVYwlMQFIaejsiJwzIQf0JpOJ22+/nVtvvZVt27ZRXFxMeXk5F154IT169KBFixZ1mU9pAtTYGSLVhORcaGyRVzN1vtWbGtvly7xnEeayXNgzFAX0cj4JOaB3CA8Pp0ePHvTo0aMu8iNy/lFNSM6FxhZ5NVPnW72p0V2+VM7lPBVSQP/6668THh7ObbfdRlJSks90S5cupbCwkEcffTTkDIrIeeZ8a+KsL577sdFFXs2T4skGdi7Kuee5pWuWNAIhBfRWqxWTycSaNWuYMGEC/fr185quoKCAr776SgG9iATufGvirC/ajw2iWdWbFKh653lu6VyTRiDkLjcdOnTgwIEDTJ48mQceeICbb765LvMlcn7RjbOKmjjrhvZjYOr63GtO57ICVe88z63z9VxrTmW9GQg5oO/bty833ngjU6ZM4d133+X//u//ePjhhwkPD6/L/ImcH3TjrNKsmjgbkPZjYOr63GtO5/L5GqjWxPPcOk/PNdvMzVgXX4DFvhnzebj9jU2tXort1asX2dnZTJkyhS+++IJdu3bx9NNP06ZNm7rKn8j5QTfOBqEGJqnzc685ncvnaaAqgbFiIZdyIAyVkoZX61Fu2rVrx9SpU3nttddYvXo148ePZ9KkSXTp0qUu8idyftCNs0E0p8bUZqEhalh1fe6dy3NZNVJpQJYxyZB8juquKus1qnVAD9CyZUsmTJjAvHnzyMnJ4cknn+Sxxx6ri0U3G+PGjSMsLMxtWmZmJpmZmQ2UIxE/zpNRHJpTY2qjFmj5ORc1rOZUls/3GmlzOpZNUI1117o8Pud7WQ9AnQT0DiNGjKBLly689tprvPTSS1xwwQV1ufgmLTs7m+jo6IbOhjQVDX2jOk9GcQilMbWhD02TFGj5ORc1rKZclj0Ln+f+as6F09u21dWxbM77rb657jtw//uPf4TiYuPv2u7Xc9T60pSLQp0G9ABXX301HTt25Pnnn2ffvn2YTKa6XoVI01fTVaOhgw6N4uBTQx+aJinQ8hNoDaum88fX5zYb2O2Qmmp81tTu3p6Fz3N/NefC6W3b6uq61Nj2W2Mol6E8VQP3v4uLoVUr45yz2Wq3LWYzNsxGlghyUUE8cW5sRSEYIQX0U6ZMIS4uzufn3bp1Izs7m88//5zy8vKQMydNTGO4CDUFNlvNLRcNHUBrFAefGvrQBKWxnJN1XX5quuv6+txqhfx8GDrUmD51atPq4lNT4TsXhbM221Obrnzetq2uylVjO6kbQ9ez2jxVc/3bbjfOOau11uUl5N0SxBPnxlYUghFSQJ+amlpjmrZt2zJ8+PBQFi9NVVOu2vrjr7UvlBub1WoE8wkJvh+VK4ButJrUoWmu52SogW1DPHmqy2NQU+E7F4WzNttTm6589bltje2kbgzlMtSnap5/e3bJqUUeA94tNXVN87OgxlYUglHnXW7kPNaUq7b++GvtC+XG5rqf6rovqJwbjaXluybN9Zz0vOsGWiH29eTJZjNa6+vjeDa3Y1Cb7VFXvsCci6iypn1fV3mozXI88ljZ6YbKTje+56upa1pTjtr9CCigf/311zGZTNxzzz3ExcXx+uuvB7wCk8nEH/7wh5AzKI1EIAFMMz1JAm7tg9D3k25sTUcgXabk3Kpthbg+K9SN+LoYUr20Nu85NJPAqs4HAWsOw7U61GWXLM88zpwJixcb3XjA93rO0/tpQAG91WrFZDJx++23ExcXh9VqDXgFCuibKM8T63xuQQ60tQ8C30/BdrFpKi3CTVUw+9dbl6nGyqU8Ol8oq4si1NjKY0038JryW9cBQEPtnyDXa51pJ3dxOdjDMJuT/S+OILcplHtGqPvtHO9vt03DhvWPx8gt7g/EVq0+2GtKYxmtp7bLqMsuWf7yYrXCRx/B8uXw3HPn/slbIxRQQD9lyhQA2rdv7/a/NGOeJ1ZTrvGey4t9oPvJ10XPV169pbfZjBYLgDFjzosLVr0J5ibkrctUQwikXLvktU7r5I2tgu/adc31f4ea8uurQh3MtcM1bUPtn2ACIsCCFTiBhUhgDMyaBTk5MHIkjB7tEbgGuU2u50kwI6b4CtKC2e565naZt1qxFG+DBLBYhnjPk+N/b9vvOfKSN+fiexwc63C8xBrKMqBuu2R5bs+YMZDs8k1WCxca+f7DH+CNN0JvYGsmAgroPV+CDeSlWGniPE+sc/FotL4C73N5Uge6n3xd9HzdBLylt1qNx49gXOQaqkWmibRG+hXMTcjbMQ7mxem6akULpNuPS14dW1ZtE0PJT2Os4Ps7z0PNb6BBmWfahto/NQVEHsfaPKYv5mSXFxZzcmDtWuPv0aM9FleLbfJ3bFzzZLEYwXxxcc2jonjOF2reCP4UcL8EWDADZksMYIOpXvLkb/s9R17yJtCKWm32g2MdqalGXrwtoy663vpbhue8NcUh/fvDli1QVGQ0bnkutzFep+qRXooV7+ozgA+mFbouNMaT2tf+9XUT8JZ3i6WqL6Hj81CCs8bc//hcrbe25T2YF6d9PW0JtjtDDd1+nItMLMC8ZxFmiwXzhBoCUcf/NeUj2P11Lip9dXGe+xsdo6agyvPJTSBP3mqbP081BUQ1nTMjR1b9ttkwW62QmIXVmgIWs/fy40ugFRzXdBMmGC3zjm2sqcuF63yBVrJryGpAh8dbl0moGgbVbq9qSfZ2PFwFUm4DPI7GK6NmLAUFmK0BdjVxbEtiYlUgH2jFIhSBVu4c+9XfesaMcf/fc7nBXKcaWzfCECigl+DURWuur5bFQG/ItWlOCXbeQNNXprMlZmHdkxL47gnkAuarhcdb2lAuuKEGQt5uBHXA5y537WI0YEDNj6nPJc996G/f+HjaYpuRj/X99lieicY8OiXw9fkIHK1Ws9F74VgrnovZZowJEUwlsqk9JfN38/Zcv0fXEp/pfJ2Pgab1tdxgBNOVp6brSU2B4ejRVfujMji1Rl1FbllK4Fn3FyB66xLlrxXW3/cE+Ltu1fQEy2M/BX0J9FW5c2xzXl7Vy5s1lQ1/n7nmc8KEquk+rjdW+93k5idDVDHmsgDLm2Nbhg51X4c3rusN4M1gr9fyxESIijJ+1/ZdPV/39lA0g+45AQX0zzzzTK1Woj73zUhdtOb6aln0dWGryxd0g5030NbLyr6f1mPtyTXFw/ItmJ+Lqbki4a+1NjHR+L+gwGvw6nWRoQTnobZOB3Mj8Md1e/fsqbop4ZEt1y5GP/4IZWX+H1PXhsvOtWHGOtOOBSvmMX19t4w68uj47Wvf+AgSre+3J3dXGuQUVw/oA225cilPFovZ6L1wvCPWhJGVXQK88Be01oVA+gjXN8/zwqNrSbWALDGx+st0NQXHwazfM/ioq648NV3fgtmGymmWxATYE0Kw61n2feXNW/kLpLGgpgqUvydYHnkxm6l66RfflWTndM/A9g9/MLp93HYbvPkmPPKIz90T1LtPge6zynSW1I4wdEzlMQuwkcVf2fTMm+t1ztHX3m53/98lndfs79ljXLv37DF+Qn1Xr66/u6UxPskPUkABfb7jIIXAZDKFPK80QrUp9I4b+8CBwb3E6XlVqE0egp03gNZLmw2s9ruxtNqF5fiXUAGW7V/CHw9Uvdjl68Lso7WW3FyjFaOsrOq3R/DqdZGeFzWPYLnOHifWNkjz1upYuZ2W1I6QasFit4Ktr/tN1NHFaMCAqu3xXPSsAqw5xVhGJtTc0u2Ly8612juSO+cgRB0x+ht77D/nptg3Y873E3j5u5GbzVieiYbKfFfjOlybv+NnsRitgwsXYk5M5LnnRmO1tsZiGYK/YZvdNySEMuLvHQJHS+ldd4Ve9oJ9F6Gmm316OmzbZvyG6kFoIN8gG0wA4SMAc/LXBcFuNwJTR9n3rCDWpi95AI0oZnOK/6Ljr+uRa5q8PDh40PhtsxnTfV2bQmks8LUfvLUe+7vuOvaLY7EzN2P9RxSWhbMwv0H18vTII/Dtt3DmDOzdW7VtmZnVu4Q41hPou08u+fR7elamM1v6Vn6WUvkTAH9l09u17o/HsBRvwzywpXF87Haffe+r7WZf9w1vT2d8qc3Lu4H032/CI+MEFNC/99579Z0PaWiB3swDvYl5W57V6v3ln9oMKVe7t5lCS++RD+fQb+YxTLhlGebECMg5ANu3G8HMc8/53gbPll3Xm43jRnfiBCxZAl98YVzEKm8SFvtmI/C1JNf8BMBRKXBdJ/jueuDK26PVYII0X2XBs9WxcnvNlr6YrXOMz2emVg/MHMvcs8fruqxTvjNauvHS0h0ol+NlmWmFqCNYuvwIFpd95HjMnXc9ubb2YL4Us2sXA8/A0273eyM3j04JLL9+gmfbzM1Y/zUEy4GPMOfkYM4dXT1G9FXhCbY7hytf81a2lNpaXWNUem0h3iO9Ld9ffv09+bJYIDLSKG+RkcZnnuenr/M11FFvHHmqnM+WmIU16iqjJRWcf1dbouOaGRVV9aKo67LAvWuJt77kgeSvch6vldOaKlCOfW23GxXPvXuhQwf3Vc3cjHVZfyxn9mM+sNrI8yWXVG2b57WppopJTdcURyXA84mZYx3+ruuOVvfK5VuxkFt2EIow3inwtn/Dw42fDh2q3+c885qYCB07uo/W4mubXPJp9VfHrE3rtI/Kji0xC7du+LNmYZ1yhtyT10GfkZjHxHjfPkdAnJiIec8ezL5iAMf/iYnu97+a8up4GnLNNdWf3tR0fgbyhL4Jd70JKKBPSPDSYiRBGTduHGFhYW7TMjMzyczMbKAcefBViENttfO2PB8XzKAfEwfauhUIfy2Lfi6urp9b2AycwNIhsupGkpJSdaOdOdP9BSkvXYhsH23DuvwqLM+B2fXi59g/P/8Mhw8brYrJld1R1nwErfKw8iTg4wbsaA3x1aLt2fXA27Z7Hh+r1aisVFRUdQvyt09rKgvebkYFBcaNfu9e760wnst0CZotpkPQCSwj06vnzVc+Xfe3xw3fDJUjgYyunoePPsKyfz2cGYylQ1vj+Hu28DjymppqtNq5br8jHy+/bByrsWPdu4A4luHa0vfyy1XH1mPbrYsvJffoNRB5HHN6qdfNtr6zldyNHeDIVveA3jOI8qzs+TtPXStlrtteOd3ZjcoRD7k+OdqwoSoI9PXkzluA5y/odm3VnjXLKPuuLXqe83qWQc//fbUKBlrJAZgxA95/H555Buue0Ua/9Mo6qePvalvuWbn3vF5C6N+J4PnUx+YynvpAC+ahP7tfqyu33WbviNVqrtpkx3odFdbDh+GCC6r2gSMojiqD+E6YY9828nzJJVXdmzyvTT6utc5lemud9Tym3hoN/O0j13W6PKGxDMiCvO1Ykk94n9/13HT921s+zGZjW1u2NEZo8Th/WbPGGIqxf/9q54IlsQCiiisrgSE2VDj4u/9W/linQu5HJbA8z+g+mpODZVeZcW197v6qwurZsu04Np4VNc/WeavVOCf274d27arS+WO1GsF8WZlxvfC83tYUS3iWA29PsIN9ytWI6KXYcyQ7O5vo6OiGWXkgQbmvQhxqbdX1xRcHHxfMoE8gfzf3YPkJDP3euF3mM4+xYKayK4Wji4jZXDVag+ORpGNZnuu0WLAuv8q4kToCHs+bUV6eMTxX795V27p8OdbvLiH353LIdLkBu27bF18YgfeAAVUXPNfPHV0OHKNbeNsnFouxDXa7sR8slqqh5by1knub37EdDjW1KO3ZY7Tsbm3LzEO/hR+jGPPFU5j7HDdudL5u3qmpmO9LxWxJA3NKcAGXS57dW7E9bliuwery5ZgP5GGO2QTtRrnf0Dz3Hxh5LygwWpmSk+HJJ418LFsGpaVGAO2oDG7f7j4etyO/Bw8aQdPevdW23ZIZiX3FYewHLsa2v8S453q+AJj8PWzahOXYT2Dr5L3CCvDOO7BxIxw5YgT0Li13Mx+p2hy3LxzyERxYbIBLTOb25Oj7742bekRE1XyVqrLuZYQVX2XIEah27GiU0bw8o0JsNru/pOmr/Plr/fXsVuDvScCJE3DqlLH+m282zsNdu4zA6LnRRuXTbjWCmajWWE4ch6mbfDciePK8/oXamrh3r7PcWopPQasjWDhctczKa7Ut4SasUbdj39vHPZZ2Degcy+vQAdvezlgXt8Vi34xljBmSwWLpAfT23YgydWr1gQW8nafehlZ0PVau+8f1eAfancJlXrN1EeaTH0FJAnBd9bTeKn8uXJ/GmD3z5cjvRx9Bq1bGT1GRUV49nuKZ9yzCXPwR5CRAynM1Vyj98by/2O1GOX3kEWdFwmIBludhKc4Ba3cYORIzOZhHRhjBvK97ouPYOIJkRyXfcV10fUL//vtQUmL8XVPjEBjLuOaaqsq/t21x/e3J5Vi5dR9KWF5V+ajliEkNKXzy5MmTGzoTzdnp06f55JNPuPPOO2nRokXDZGL2bKPAh4dDRob3NElJxmdJSe7TIyON+SyW6p/58/nnsH69EZT07u0+r80GX39tnJTDhhknSEYG7N5t5DUy0v+6XPJq253E7O0ZRHZPMmax2fwvw/Nzz+1z7KsOHYxWEs/pjn3oOp/ZbFyoVq/GtqcTs/MvMxZvrsxnQoJxYTt61Pi7e/eqeXfvBquVyKuvILxLctVu9lz+tm1GMNC9Oxw4YAQLJ04QGd+a8MvTsIxJJukuj+MXGQlz5sDOncZ6WrY0bhzr1xvTVq+GPn1g+nQ4fbpqv5w4YVQeOnaEf/2rap2rVxt5uusu45hGR1ftH9f96rp9SUnGurdvN6Z7pvVxnG3WI8xe2oGv96ew+PhgtpYkEr97Exl7PoH4eLjrLmyRGcy2JhmL6V65v4YNM/LnKEtff12V74yMqnVv22ZsY4cO0KtX1d/DhkFSErOf2kzu2gsIP3yAjN77vS8rKQnKy41WNZMJjh+HwsLqZScpyVk+CA+H//1f46nIzp3GZxaLUT6OHzduKj/84Axybfu6MHtxPJFtW5F0VWdj/tOnjaD+8svhppuqysqwYSRdlkC+dR+rj1xKeJ+eZNzUplrZTerWiowfZ5J0YptxDH1dE5YsMY5bVBRceaXzPJ39eXtycmDrppPEF6wi0raK2YsuILL0EEnDrvJ6vUhKgoxIG0lWjzJy9dXQurVRaTh92iiPN93knC+QS1c1ubmwdatRRgcNMvbr7t3G/poypebrjLeVRnqUL8d8ruepZ5nbu9cIznbvNsrYTTcZxzw8nKRdG8hgNUn5S0ja+28yypaRtPffRvlxWa/nqWKbVcDsNw4RefUVJA3tV/36F4yEBONcKi838tuhA0lXdyEj5huS8pc482GzHmH22kv45EQmnxSkULzzBFemHGfYPTHu60xKMrbxzjvhppuYvbILuZs6E15awl1Dj5FxV2UePa8HDi++CDk5zN4ygNztvat2g+s+dpQb1+PgupMcwfH69XDdde7Hytex9cY1j927G8srLjbOl8jIauXH9bLy+Rs/ELn+a5KiDzvPl9zCroR3bE9GpJfAMDLSaHgpKoJLLzUaX3r2dF6LnCIj3fORkRHiCYL3+9eiRbBpk9Hg0Ls3SeYkMspXkrR9tXGejh4Nv/kN9OtXtS8d+7p376r7xq9+Bb//PbbT/Xjx6wxyF50m4TsrScd+MO5hffrAkCHGtrVta6y7dWvjiY3rNji6dq5fb2zv9u1GOR00yDiPvZ2DjlgigJNh9mzIXX8h4QkXkjHyImxnLmP21nQiV37B7v0tmf15+6pDHOp+riOBxpEht9CfOHGChQsXsm7dOvbs2UOZo3bjxcKFC0NdjdSCs1KZmIV5KG6PT70Nr+i1b21NLaleV2gxatv798OOHUaLmdlc9Qg/Nta4KHn2pQ/yaYBrV27nLDUsY9bLP5OzbDAj835m9EcuHxQUVD1684Hu1RwAACAASURBVDYWr6+htsDZX5ChQ7HaLVWPKUfuqOpOYLfDyZNGq4trC8Ajj8DixZgz7ZjHjKlsXTJGVplpN8NMGANGP0Soau2v7FNrbtUKc4ed2AoeZurMNiQWfsme0rZYfhWBOXIT9OhhtIA4uvwsXAjffWccA18tjWAEluvWVbVa1NRFwbP/qr/j6vm/l3781nWtyT3xC1Iv2E5mTCFgwtL1BPTJdJbjmX8wsXhrD+wLtxovq3kbUSMiwvkegtcWmaFDjc89Wo6MF1OLsaQfhz9ONQrZwIHVWwX37IGYGCM4Gjmy2st9zqJy4lLMUcuNcpKeDgUF2DpkGv3KScb80UfGsteuNY5Nt25w4gTWYjO5Ry7F/k4Z1lvMRku1xaP8ubZM2u1YTp6CLhitrLa+3p+WXXKJ8eP56Nm13D/5pFHeHF/aUrkOS2IW9swUyMvHUpyD9chN5HI5EIbZ7OclP2+tgna7EcA4eLxEGNLTb8e3STpaCPv2NbqJ7B1j9OH39VTOo5uQ3ydKrvM4yt3UqfDRR9hO98Ma859YfhGB+ZLPjZbqPAuWDpsg+VasyyqwFK7BfNtF1VsyXVs0ExOxvtOW3KIUsEdhNidjzSkmd+0FON4PCeBU8s211dqzD7TjWjh1KtYlvcndewWnTrSg7OgZDpypINn+L8zmW/y2XFrGJEPeQixF78PMi6qW7WM4SdvezlgPP0Ri9yMMvcFl93vrDuWtm4XjKVirVt6/mMqzy0egT+88x8Z3/aygAHJysMY+T25xf6OXSXF/SAASE7A6bg2plU9jZtq8P/lNTjZa5Q8erBrD3rWozbRjYTPmkSONe4rr01IAi8UlnRXzAJP7taiml8RdW+kd3UQdT5eLi42ndRs2uHcDcn1S63gq4hi9pnIXLl4MnEwlOW0k5iMTjXvhunVV25YyGusvrzPynGiqOqZQ9ZSyWzdjWkEBtlNpWPOud38XJ5gYxYXFAtiPYKEIUvpi3WMmd/EO4AT8WOw2VGu1pyyNVEgB/fHjx3nqqafYsWMHYWFhREREUFFRQVxcHIcPH6aiogKA9u3b12lmJTjO687QFMwTKgN0x9jCp3qT+3MM2I2bsM0Gf5zSiuJdicAeny/nVVUSjC+rcbtguF6owXjr/+zZqnnfsWG1mbHE/xvzoISqi5LrBcL1dw2Puawz7RR/F0FCl0gslso+m94Cb5f+cTn2DNYeawn/2s5ox+euL436GlXBMdTWhg3GHdOxnXY7tn/swNrlfixvjDa+S/HH5Vi2vwdTNmA72B3rsauwxJRg7nHE7bGmDbNxcSr5EfOKFbBiBbYdCVhfa4m9/TEWH0yHVpHGtd1S+YUh7RZjjvrRCArXrTO2ccsW48XMny8nas9FlFVEwq6NmMP/Zuy3CROq9mH//saNw5H3l7/EignLwUOYT50y9lVKinFs9u6tCvq8PLK2Ya46PP6OnednJ05UvewLXvvxWzr/AJFHsFx9CnN6ROUxjAPLHUY+HnkENpnhZMfKgPOrqm4O69YZ+yc1FT77zHi6sG4d1kjI3d4bKq7C/OvKpzOObiT2jljtFiyzXL6EKXeIsa2OPsqOm5lrMOH5WJ/KivEfl2MZmYB1T4pRwTu2F3OM0UXJtr8r1vCJ2CP6k7+mLfy4HEYmYI19HkvKTMxjzc5uNxbyoVVn7MmZxrlstzu/2dOG2ej6sncvY+yzMB9cCvHxmAf2x8wyI3CwVr585nKjtc3cjHXxpVgyI3F7X8OzIlxZXmxF7Y1yWvmehnkomN9MgVkF8E4+RMdBZn8jgHPleEkXC5YxyVVlJDHRuFZ8950RfLkOQQpuXSICuVf7vExs2ODsy2v9+VZyf25vdGnz0V2rqm+4GbOFqiDFWwa8RNK2Od9jLf4Necd7YTtzOXnRLel/QyZ2IN8RKHTsRW5UCnTpjXnAEfcuaykpRvl3dEeMisJS1BLKBmKhIzCmqqJZORKS56bk5MDar8/AtiJGpxwKfud59q3+6CMsp/tBu6tJZA8b2qfC0aNYkvf6Dc4d/5r7L8NWcJyps5OMa1fkpqrzKTGxanjHMWOMfva0IJUWJENlI8si/6PguG68o0tH//7eXzj1fJHf9UugPAuQS/cy48VQL12+EhNhyhRsOxKwt91GavcKBvwinj2R3bFYhjizOHQoTEieU9UdJTUV8vKw3fUyVnsvLCe3wcVmrL1+h2XXLMw/zDVayktK4LnnsFrNxqALnMCcfNjYttxcI88ujSfWR+xVo3H9mOvef71aGfc4XJ6VO9eRaxISjHPVsxuQ2VxV0XG8C+Myeo3FYtzu7PZWJI4cAow1Kgaxsc77vtWK8W7N0DGY91Qej7w8Y9SgkyexJf0a6yVPGo0ee6xYf+5bdR5jXF9m7r0ROnSoqmsE+F6c2UzV4AvWoSQmmonq2IbE5E6k3JwAG+zOkdase8y+33NpREIK6D/55BOKioq48cYbefDBB3nrrbdYvnw5M2fO5NSpU6xatYqZM2fSq1cvnnjiibrOswTIW0OTo6aZGLGDoeRiIRIYg9UKxaaOJHT62bhZ2GzuQ+wBWF1G9Oi41ehXWNnH1zZzM9bvhpJ44Un25FXWuF37us2ahfX7ZHLPXg0nW2MuWeG9FcVuh5dfNoLFyoudGbzemCxYodUJLP0jMZuNPNo2VGD9biiWIzZI/hmr7QIsMcsxH1sOdjsjx74JU35ipGkhWMOrdo63F7Pw8pTjiy+MR4BduhhpZ87EWjbQaEVzXF+fizGGrNxuwhqdRS6DocflmPsvM5osTp6EvDysJb8j9+fLIToL84EpUFKC9fjN5B65gtSSn8i82AQxrUk8Ec8f/tCdoiKwXxiD+cB3RheFsWON30VFWJK/x56czt6NsVwSVYKlww7YRtWLQw6O1svKF9ishx8i94wJTkdiji8yAs6U0Vh/PIalOAdzh8oAcGZHIyhzuZFaMXsNMq1TqRolw9s3Jq5b59ZSY+s8DOuG67B0bovZZjMqGUvPYjn5T8xrt8KKU1VdA774Alq0gNOnGRO7g+Qu4Vj67DZuAmvWGE+F9u419ssttxgVtU6dYORILClgX7gLe9EF2PaHY36zqjXYajW2xZ6Xh/XnC4z8e7TW2jBjfcSOJW8W5pOrjele+ls6W1GPbMXSfwP2vW2wF5/CdtElmC0WrC+byD3cgtR2ZaTu/xL7tqPMLDhCfrvr4K43MDPLCD7S0+GSrrD3UgawgeSERBJXfMkje7rAQiB5L4uXtYQz4STHXoI5ZolRthx8DA1nxcJHJyNY/v/Ze/Pwtq7z3PeHeQZJkMREiJMocZAoyiKowZItybCtymPl2E7kutZJnJMmcZw4bU/kNlVzGjfXR+69Pbdu2rgZbFNMotrxcGWbJi0ZtgbLmkBJHERS4kyCBAESICZiHs4fm5Isx/eenDxN0/s8Z/1DPng2Nvbae6+1vu/93vddXUqeuZpPfxIxv5pkL3GBnRVfEpwtCGFvdF0/xuOB2VnsvIr9jiKw770+aFpbcR1bZN/4l/ApcjB8VBgXVy0hfT5hDF1FIq8mjr9Jle5Tglpn1+10JG/D3RXDGRnAoTuL3Xed8+1YdgVHqA9sdhyO8l8/39X74nZc/2muX4erX/3rlctPVz0OHsQ5aKdDtJGAuIT5hIbjH8YZGfZz873F7LxbjMMbAkLQ3Ixjz/1csy25CiZcDSyvVgkTCeyh97DbumDPd8Dlwu5xYn/GAf0u2Pln2Hfvxr73OhS/ezcwOsHu5MuwzyV8cO6c0I+Wr+E8p7+2n4ILO859USxjWTyHpnE0XxL0EFe9xQEUCux0Y087wePhMYMB/uBWYV5pbb1BkPvpJcNuB1pacP6shI7EZvjlMHz3XpzGDcK99Lx9fT4cHsah2w6FBbhjzYJ+eN7EI9pSlIoMDlEv9kOHbkCub7DyXJqLbzAA+GRzOn/dbemTicBLL+H657M4N/wlju80Q78a59ENdKVNuEY/5RZ79Z99+yCZxKm5j95sAztnP+IxZfDG+faqTqLlE5XfJejaGWwWkrs1BYCOjsulUL1beAbT00JC/NwHuE12Gu0KwXThM8bzteHgvchOySCWhJv9Qw/gqBzB/gkk39UlYt9bdnyqRUDz2cPLbr++70bj0r4bcP3BfjpJWgqQr4IEFnsZHqcdB0LA3RyJ4ks24/HoYO9jwrv4xhuChuj557FY7NdkJq57ltbYQ4eE/hcX0zq5nfYuEe6BAeyPWXCYXdfHsdOJs72Q9qAcCsGGG3vrfuFkV+fB/xkD4BPz+7lWuDyh4hxmHmuICe/nq6/CsBHH7v8Ldjb8r1UKfw/ttwroT58+jcFg4Ctf+QpSqfQGr3m5XM5tt91GTU0N3/rWt3jzzTd54IEH/s0u+H+337x9Frrl9DTQ4VvGTkWIvXefu26B6ADQ4HAsF76zf78w8CIRYYA0N0NvL47UNLAKh3oM/FGBn+p04uSP6CCOyhchPg5d4iYips+x+7vLecyOgDZGQiCN4qgPXl9oPu1CseSS4OT6ZGe3TN6A2l2jBm0sYe+f9F0rDbss9/LNYw8w5MtyKDhOcyRIL9WQ12DnKLC0EWLDwvVgfukmuVzg9CAg7J+l8bta5Th0CFIpXKIWWlvtMKChxfYOjcbMtTgH7DhrfoKjxomjpQU8DTgcq4AyIdg8cwaGhnAkXwTpDhwbRGB6ALxeHOdHwf0BDl0X9jo19PSw/x8fZyL7deJZBWR9EIsIqLTHA88/D04ndsdttLaacOVM3L0NwVKsdZEDAy0cvDnI7q8WCuC33S4gX4cOQXU1DoMI9/lZ3J5yXMU7sDsctD7n5Y3jazmkW8bzAz/BedbNq9koR7uCPPPV6/Stq3Obpesi+9uFINhpWwryG5dEul1dQgXjUB2Wr9qFnGnjNwRN1cZv4NwP7r519GakMBXE7nTifB86Fm+FAilIT+KcX4VD5MJeMCQgV8EgrFyJ/Zt/hN2Sg4MfCqVqg0EI9uXyGxG6pb/21idxRjbQwQac3jD2T7xTQvnVjftoRAheB8YFC8qNG69ZGzpb3XS86IF0Afba1GfzQA4cwDF9FEo24Yiewv5xN87og3RkNuNM57ADDncrqGpwSIdxZmroSGzAmA+iUvqwJOYEfuj0tPCb275HR/skO3Gxt/af2O/fSXv0Vpgo5m76uFsyBHIJjrJBSCigqOj6graERLpcQvIlLLICFeJoVxDfQIDWHe/itOZw/Jd14F2GszON49g/Y3/x659YpCXsbNbhcOhwtdpxticEtH6P48aA6pPoXns7zvnH8WFCIUnj7gngap0QnvuRBZzzj+P4UoWA2HZ0XHf8uNr+v1bOTwlqHclJWFOAewA6hpS4batpNTro+riUZDgJFW4c6QD4u6FfBR4nB17KcvDFInZ/Fx5bEj07DvQL1TWLERquvzvOfTfSXDhwQHhGIhGuc3lazwH+/0qJ5ENUmShGURo3xWRzIoyzPezxnsP+ndvAmYeODuzN+aXk5xMVq6tJ7hL1y+XYK1R5AkPYC/w39hsEIOVqVauh4Voi0HAuz7am1TS4Q0KwffAgrh45zvjNuI/66J3OCAgurTiHo3SM1aHKLyM+kYOJDuwVS3M94Po4hVOxF8fNQewDbcL5sllhTfD5oLER1/LP89x5B+4v2LCpBnDNlhGIyDjYJuHJb8v5ntKDw9gLUTWORxqE9ecq0umIXad5jI1hN4Sw392Mq+UWDv8ApmOF/JL7sSjTEE9g73tLGP8gBJ1FD+Io6RbAhKXrbVV8Bbry7EmepL9rFQcjsHvZRzzWdwiKimj1fY72f9Xj7uq6TtNzueCtt2iduo32WTNuvNi6T9MxvYaUNkgyJqfrKBw4oBPmL0s/9oP7cA1ocCr+GssXt7FzXi6AYxYLridbcXpX4zD1sdfbLpzfu1Tt6lfz3OsPM+h5AKMuRuNmPY7vrIDWVtxJLe5YBa6tf4b9jb8UAJ4zWnpVs+ysGsT+nU/syfGJsXLVNnmn3YJjxWH2dd2PL2LEnTbiHJ3FMfAadlk3Tvcf4fOCUezCkYiCy/SZ+2LcgJp/Oon5rHEIS+t/DpVbT7xnFl58F3tTJw5fkSCydi/R/0BIXicmwOnEg53ZWQH8d5r02G0IHPyCAgHJPzRHMpWny5XDZZjFPvvO0vhp5kD7Q/wipkGsVrLOvgTwXU0Q16y5YQ5xuRASuUYzWFo+Ier/ROWlFYjHliq+R4XPluhbds/b11kO/4HbbyWKfemll2hoaGD79u0AnD17lrGxMR566KFr1owFBQVcunSJ/v7+/zjWjL+H9vsWxbpcgtaoo+MTesyzp3B4fs5MUM2zvffQcVzL2rVLWsL3+2l7+hJKcxHW+R5h4o7HBSFLczPW7bVsqZ3HGuyHkREhmH7iCZRr65D097Jp+jXM2WnOidZzIbScYFjMo48CIyPMXFpgrHQ91X/2ANbHbr8uFBwcvC72qauD6mqU1WVIystwlA9hnXFdFxQqlbQ91UVH3zI8UR29dQ8xemyKzrfTnBgs5bSnilBcRkqmo35TIc33lmHRhOmcWsWobSudh8WMHh6mM3cnyrV117Qz1zQvHjcnXhzi4GEDsZSUXfJ2JKc+wqJf5KdtCjqGV2KUh3D6Gjl4upKhGS218jH0RiUnpyuRSATaX8dJPR7TWvwXJrF8+AvePWWgY7oJozbGzGSGZ1N/RnfRdnZt9gmL/dq1kEhgvWcdW6LvCffX7YbFRZSReVIGM2tqYrTEj9Op3CWI4v54KSFZEoN1nClmaEzGStkYd4k6IRzm6cPbOTVuJdg7yaObRgWx11NPCTSHqiqsh35Ex0d62kfriRVYuGvlMC//NEN3sIJoXoNFHsDhO8jZ9Dp8C3LUpVq2/OAusFqvCR07XwnR4V+PBwvhvklMFgm7nrAKIt3jx2k7v4qOxVsZnCsWNH/1K9nyo0dpO7NS0B9bJJgUIcKlyzE2L6M6M4REp8byyDaeH7uXDyPNXCi9k1zzen46vZOO6C2cy9zE/tGHyZ06TZP/AyGYB2Eyr6gAvV7o41XRdVsbHDyIMjCDpECLw3wJa/cnhKJW2NLxXYzn3xPEyelOrBfahYc5OwsSCcrwHJJzp3FkDwsi3J07f11c+fTTWLs72JI5hjU/Dbkcoyt2MBgpY9O9JTQFj2Ht6WRLtYeZbY9wor8YU9aDtljJoGQVY71R6pI9zKiW01b9PSzNVsyaCI6VU1h3NKIsUBArW8nKlgJa1iQQDw9Rm+qlZ6oI5ZybmTkZz859mY7cnRjv24S1qfSGd3tL74+YGQgxdXyMZYFuvIsaXvNt5dR5OT4fdM6u5exCDXXSEYECMVSD+SYLe3+gF7ThL2fp6K9AYiphy2YEOtOuXULf9+3D9WGEtuC9KI0FVMvcqDc2oa0o4cjgMl7vqaGg/zQ95zN0BDchkYnZsin36wLsTwsZP92uiuCWBLUzhtWMlW+lNn4R83wfQ6o1HJpqZsGfZUWyj00yF8+H/xNn56pQ95xhy10FfO3wH3JqqpzpGRGPP75UVHhmkqG+BMNjYuYr7HRGBbFpdfwSnoEFwoUVGBtKmXnmZ7T1N6MUpXAmNvPyB8s4P1lMSFRIPi9iVa4Pky6GjAzbRMeZmgJlLs5M7XbaBluEsZte0iWEw7jGigUhvbVYeK+Ghmh7RU6HZy2eeAG9EwUozx7Hur1WuE8OB674KkEMu6aWmdYjtB02MfrxLM8fa+LsjA31nVuEe2s203a2lo7oLZiiozSnT+NQfYx16BjK+WkkK6rZtCaGefAojtjbWEMDsHo1rpavsc+5lbOJNaiXW9iSOy649CxfDoWFuDRbefbSfbx4vIaP51fgDmjRBKfZqnbRE6kilFAyPSPiyT9XYi1OsuWvb8P6yDZGnaMMfjjDpmAnTbeXwpe/DDIZrsMB2rx3oizVY9ddpqDeSlhazJqNamKRDJuC79IUOy30v7SUNv9ddMS2Iikzs+WJJkgkaGs3cHBsgyCgX1HMO3PrOXFOycVuEZt8b2GNj9AxexNDMRsr05e4y+i6LqwPeul2lzAkbWBldoBdcz9GUqBle72X4WkVE6EChicVjI2BZPASW8Z+TlvwXjo0D5KxLCOMnm7WYpy5iLM9wasXVnC2S0rdogtrYkwAX8bGaLvYSJurHne6lEBMyV2zL/Fw8wjWO1bR2y/lZLgRyTIrWziJa8rEiUgTpuAVakNn6RyoYHQkR+f+bpQjl7CeeROXM8SJf53GFLrCLsW7OG17+HByOSmZBm1FMR8trObshIm68U6qGUUd8fF49sfYR14RTByOx3i26046jqoxDhzDaswwmrAyOAibzKOkX3+Lto4SlEb9jaYTnzQV2LVLWP9jETZJzpK5PELYs4iROey7V1wXWV+tmphMUF4OuRzK2kpimlJBA8ybWE/+6rpRQ1UV813jnJlbTkKsoSDjZ0u0U4gT+vt5+t2tdE2WkslJeOjzYh6u7RGuafVqoXqyBP61PX2JEy4VnT1WzibXMpUopb1d0M0bDNc1rkYjGHJ+dtVfFgTqhw8LGqxbbvl1gfK/c/udimLlcvkNJ1WpVAAsLCzcwJvX6XQMDAz8Nj/xv9u/UXM6of2NBMQT4E1iazaRWFbDN0/9Bb4RDZ7TeiTyJHT1YX8+j/NgdAmNAvvzz+N67gNaBzeAt449e0zCOT3g4DnsCpeAhDqd2B1LVJPWFDCLpUTFwdNSli0T4p7dumY8ajMduR3gKYcD/Th/XoYjbsZuGMU1bcGZ3YajuRT7P+4RaDZPtuJsT4B9GfadtmuQuUPUC2XQldlO+/4FzOo1yGPlNFbL2LwZBj8OUpfpo6VQwjm3iUPvVZL0l2I8JiWezpGar2BWqsHNErPgQD/uQ3EabTYc3l/S2meCrE24J/wApuXse+Pv6EmpUKSaQPkA3rASLQGMqgRuczMtyxLsnLqK7gmZfFcXtL9txZy6hdmhApIDMFxxPzWGVbzhbyQeUIBppwB+LIljuftuDmz8Jw5+OMHudCuPVX2E/SYt9t0haChj/z6HYG/ZrLtOedwXxTHWy574WWySTTiGTsHCOAeKvkVvagWZdBblcB/7vxjBUT+DPRCA4uLrVpUmE0gXhMD1Bz/AlPwrDPJVVFQrlo4f55nsP+CU3InFW83+/bbrGgq3G8tMIaqklYFBLQOzZVS4ptgT+O/w3x6EPXsEn35vGAvv4KlZi8MhlM2vouIOnDhNDl792MTwQRPPPNPAXjs8+bCXngk1Up0MnzTL3x0vYDhQjDYXweD34/UXgGYTj61+U+hHIIDLcKfA2T75InZF+3XOZyIBsRj23FnsojEw3QHNO38NCRYKznMCSkQDrsxanKkdOCwrsCd+BdoztGaeoFXdwp7n3sbu+pcb/eB1OkEkG43iSqzGqboHd/Ea4qvtnFOAp0uFQzGNfbcd57kmeqen2Zk+iUM7yLBxE2MzVvYp9qNbVojLVczdJvjHf7QhSKOBBrBdqx5V06EtReUfJJ7L4s6bGY5W08MaFDkJtncmsHv247DcK5SL3QKi5vSU0utfw07dZVgUE0+pmAjLsRUbiYr1+EVm9nXZ2bijEFUtJEqu677dbmhUDWNBzv59WkFgzJIGoWcnbmkFvYEN4PezV3sEu+llXNg5zA6mI3oODjXzzO3tcL4Xx/QpeCcqAAbvvScgY4cOCVWnq5PXZ+lnPlF6dDU8xr5vBvGdTPDw5lXs3evh4SOVZHxQpgnzTP45WpV/jivahDo3j8V7Edc7NqIFNuQLgnnGVUe99olVBKN5CifEDB+8zoKxdWVgIUhvdw7nvqOgvpcOrQlKa3Ek3+VQvoYJSlBrQFZUSos6iscowTeg53T2TuISHaACj40O3zI42IW95nWhchVZj1tdRW+2AdzD2E1T4HLhSCaFqoNuIx3vV8HEUeznzl2jnDiVd/Nqcp5DByYgv46kVItiIc5E0kxFQQzHnuW42Ivzm4ewRDrYmQ3gWDyCXXIBMkUQjEJxHnQ6Gt77P3gs8Lbg1CTRwMAAzsOn8SXvw1ivwTLwOvtPNuBQBLCHhiCTwWm4j/Z+M8mchEqJG22BmB3JD5hPl7Gy2I83mWXr4sfsf1qOo958jXfsea+X+HQxnoUpYSGx23Gdy7Nv4duMZcv5hVOMtn2ery5/nY4Xt7O/1cyVwQCepEpAS3fuxNXyNdz7hmiMjeBoToL9fmFdyHxMF+W4JfVYdFF2bwzQP11IIFDCc5q/wRSfxRuXcbfpLHt2RQTR8b6jwny6/CH2NLdiszXjCHRinz6DfYMO7rmHc0OjzAbM2EaP0bw6hUN3AZf8ZtwZM43BE3g7qnnftwaVIo9tRSEO+2WOHo/hCxTjVN2LfUVYAAaMRhy6y3T1KxkMWTDiwR1Q4fr+u9hXHMSx8Rug1GGx6Nh/+BHciSS9uTp2ijrxhNRCNeXCDPF5KVy4gr3uE2NZeUWgAZqaOdqwHN9EAvR6ol41i9llOIsfZq/+R9j97wnPOaaBiQmc6u/SnrwbJoA3/DiHo7hrIO6L4HmxE8/CAh26OCxNo0LVrhCH2YVdft1IwA7Q6sR5MgTpEnqVLTjr7Nj3Nl+r3B04YuHg+ZVsXJdGKcti6fkYz7CPPbsR1hKLBWw7b6i4Hyx+EpF6lqrkIBbVAvul38Ux8gp4htFJRlipSFBXkcZiqefJF1bBxJ+zpzki0CUPHMD5p146Ylsx1gSIJk0sLgrsPrtdGNuJxKddTG04nXvA68Uef18ALP5nu/n+B2q/FUJ/7NgxEokEO3bsAMDn8+FyuaiurqaqqgqAbDbLgQMHkMlk/OEf/uG/6UX//6n9vhF6pRJip7pZuXgRxCJOjlk51aen31uMP6sng5RcNs+yaD8PlZ1CaS5CMjaMZU0pncGNnMhtpv28maH+DIauI4z5tHSc1COprmDLbXLButnY0QAAIABJREFUpvHtQka7gnQeU6HcsQ3rX+yhaVsRdbl+/v7/FtN3RUbYG+fxojeRrFmF44+tOJ+/RMe5EiQL82wJvUtb4iFejd/L2UgDdeuX0MCOEl49X8OR0WoujhVi9PVhPfEK1hUatvz9Axx/L87QuAJjZIhELIdkMYRpQxWR88PcGnmXaDDLwe56/AEx1SUhdj8mw2yTMjWWYSxowJSZ5qHAj2l7YZHO3jKSoThmdYSZaVipnWGP+jWslXLaYp/jrGQjxSYpWyvGocjAsbkGUhIVxuV6pnV1mGOj7I3/V6zmHDPVWxj78RE8Hw4yg5U6g5ebVsbwBmVc8RTgVy1DrZPe4NLnerlPQP1MBTw/eg+nRoxM5CuYt65B+Q/PMVPaxFNPK2jvMhFOKiAcpv9AF3/zIyMX521E0kr8MTUO9Snsqku4dNt5avxbTMxrSCFjLF/BeLiYAk2GLekPca3/Om26rzO6BNqvNIXZI/sl1sQoxnIVxns38MT3SqGoiLa5PyCx/laiqlIGFU2c7NYKKNXAT3Fh55lLD3AlYiUvkeKLafDlDDA+gXHhCm2Jh0jI9UTfP4Nuso+opJDq2yqvunViGTpOz7EFLAUxxmQrb3CGe/Hvg4SCeTZVzHBH+RV6h5TMpQvRyNOsEI8gVcsoM6apyo9hjV7BZbiTfXyfszPLUIsTbKmZFYIAo1FAlQYHceXW0aZ/AuUXdmF9YhfMzOB69oiAQrWswTrXLdiLNjWBVkub00qHrxlJqYEtPT/i2cFdtCY/T/dcGd6wkuNzDXQEN2HUxrA+/zSuyzra8o+iTIZoTT/Cy8kv4JNaWb9ZDl6v4Obqq6SuNEA1Y3guBRjKVDKcr2bHTXNcipRzxa1mMS0nnZezcuV1F0fXgX72PRXmw9MqjnYmWOwdobokwg5zN+bcDOFFMV2ZJnISOes1l/hj2SvM9MzjHKvGYb6EveMZiMVQbmlBUqjDUTfN2pkOPCkD81IzQ7EyRPk8iiIVaXUh4+OCg2Z3txCPjI3BoKcAX64YV6SWHr8NtU6CcmqIbx65h8PRzRiqCrg1cQRH8l2sRYIQ1zr+MQXLSwlLi9j9mIzSL97D2MEzJEZn+OnMXbwse5zjwSaM8/1CVRCEhfQ3sIlra4Ozb05jDAzyeOKHWL/zKL86X8P4OGywZ/nWfwrTwV10DRWQyEgplSzgV9oYzNdRbw1Sm+7jZI8O5ApyYinly2XcfKuUHTsEMDgchpPHs5iiI5gyM4TnU8jNBq4kK1ici7G5ysPOzxdglIdQGIuYDqgx37EGR2kPnoEFvJoqEmU1BHN63noLSiOjfMX7t1gNCdrEe3jJfQfnoysQkWOH7EPS2iLaQvdRrfZSfWcNh+duYiGpprJSxOv99bzcXsLxQwvIDVq6TqWZSBjxZkuxyv3YxNP4MFFXOk9iMceJbj0nT0vIJLLopTESOTmdop0obSVYtWHaqv6ajkvlSEIBtsjOwKpVQsDcr+bEFRPLcpN8+zsyek4t0jG9Bo/ISm+kEmUsQLV6lthinvpcPw9ZPiLf2MSJ2RpOR1YRSalYLbuCMTjESXcFnvEEvf1SRnOVDB71wsICOaUGozLCTLyIb/5yI30BKyKdjtmYnslYMb0+I5te+TbV8mk8PglDklp+ZfgKx/X30B2qotdfRvOKCA9/23bNfnhmKkvnbBPhiISKORcbKrycnF1ONJRFbLVywV/OTLqU2xq8PPz656GzE+XZE0iMxVgUAXp6RVjme3l3rJ6O6C0YfZewJscwJt2MeVUMhiykZ3xsnn+L1sTnaQ9sZGWsG218nmFxLRX6AE8ofoa9fpG6Ej9qrQTHt1Zj/fwtAoVk0yasoQEearrC15pO4bkc5aTkVjxZIx2D1XQPq9n1dB09PfDqMRO+mAaLxEdOrqRWPoY5MYE5PYU3UcAm1UWayoMo19QiiYZwZN7Dmp3Cqo9Sp/cQmIpy2VtIIpigSjyBeY2R/YvfYES0gjOq7SilGWZU1ZxY/kUKGiuwGuJcDpo4NV1OcHgeS3oSjwc8qWI0JSo8AQXHX+inO1TFyYUGJHUr2HLrEm11yTq07cU0He5GIE/ObGXTl1fR1ASuGSvPntjCC0drGQxZmUhZmM2bGQxbGPAUIbngYsvRH8DFixzw7uDp15rJ9Q3Qc0nChxcKycdifF31Eh7TTXQsbESSTjCmqKM728gDDZf5h39R0vlujpfbSzgfriGn1XPXY6Xw9NMoh3rxKCq4rN9AIqdAnlnEP+BDr04zNxGj67CfixfzXDidoO6953G+Ms+rp5ZxZMHOe9K7OS5zYMTHTH+Qtv0zKHMxrE3//mYvv1OEftWqVRw5coTFxUU0Gg3r16/nJz/5CT/+8Y+Jx+OUlJRw+PBhfD4ft95662/VgVgsxiuvvMLo6Cijo6OEw2F2797NI4888ht9Px6P8/Of/5yPPvqISCSCzWbjwQcf/Mzr+V0d+3tvLhd2pxP7VwXxmGtAgzM2zUjDRrxeE9FIhlwuj4wUppxX4LYOTWBJTXDwjUbGtHEMVhX24lFMkXM4Jt6g3yZBpbJhabFBgwPnoWk6kg2kziWZCBdx6GyE5xuEhLb1hTiBoJhiqZ/d2V8Ii3QkQn/7KO5pEY26MSzJBfar/waLNoLRF8QXKMHZ6sbu/AWOlns59JaevkkrE8FCmJrEmbgDS1SLx2mnZLWb2isedP55RmlmYl5NxbEIzYZpHIbLUDBH13w5bkrYvcHNY9+7B4CuYwMwmyEwEuDh/9POYLScPBl8MQ0HY/cRLwmz0z6HvbkaHA4s/XYULwiJess9ds6dA7vejyk2RsvqBJ6pYRwbF3HNfxHnEStd//0YrrkV2HNnubvgMN5bH8M72I8oGCSZ1uL35Hlg+wI292ksAyGefHgHXQNfI6laBFOG3fdAaDpHxFfJq+nVuJ/zMnx8mpPeGmKokImy5MJ5ziRr8GRkWGxS2LCRjpMNoDdjr5fgdDsQiUCtyhOPi8ggJ19QiGVHI/tPv4ibeno7hH1vhD13TLSqv0brtIOW1cVgs9HfPsoLL+qZiNVQPC0nGhUYESoVjCjr2Tn6M3TSQiZkWuLSHHU3xdBe8DAR0OEVmdh3pp6xHsjPF6CNbcIor8d3ysihe0aIas14QhrUkttRZaNUDSTYqGrn9HwlloQKp7OapKqINVWzfOfP84CRruk02nwcmymLb7SCMrMe36yY1snttLKNrug2AskMVWovFlWQ/VOP4Fg4A1ziucm/w51LYCuI4NPawaMTUKUlYVUHOdw04Kz5CRbdRTzutTgGfkgilmUwa8X9SxmWz30XLH6YlUAyiRsbLmk1yVkNw/uGeCYGTvXNvCp6mKNFW9Flg8Tn1PhDMoHSTydd2SZcqdV8qeMmtlZOgrIPV2IDZOXYTAnU5+eZj1gQpULsWtNHS8d77G+sxvFf1tH6dz5cV1YTF2WZEsuYwMADV97Cowtjkfhwp6owyCIkzcWY9BKcvkbc0UI+9q/m6LkxdgfteCQ2LKIQbK2hv6Scc8erGMitZDxsIIsEOWKWpRcpKhIo3ZHI9Zxo9244+EKanj49xBSssctx1ARx/qKIoWAJUbEaEjPs1f4TVBuhplkQKisUPFZ/jobH7Dg9DZx7zkvvfAuqfA2XE2sIus0UqpZjKxmDmFpw1GlZ8WtWu59pjegA/vk9LOEzOKdqofUSJpNd2KjUUMx+9tJyD3S5YWJIAitW4fiqWnCw6HoOZmZozf8xXaGNJON57n8gw95/tF3T/La0wMCbYt7K3MWK/AgLSRvzF8wsBPIMsYbIaQXP1I+y9xkTrtazOEcTOLwh7KYpnBW30z5hhVkhMQoGQaktwm7oBdPdWO65n9mvpwknJczHDOyb/TobbFlGAmmORiqpedGPK5MAhY73vGsZvCImmRahiKSpey+C1qgiNJMjlpOgZhGTIYNdNovbp2DkDSk3PwCNm/V0nbmTIykt8UiWTF6CW3wRu2UCCx5UWSuW4hSuzO04Q3dhKdnGCzENE/kcDyTegXfewW3bQyNToN5Ix6nVkMmz19CJ3fgSRCLsD/xn2s+biaBFLfUjy0XpSaxEZ0hhlKR5y7sB0SkN+X7IxDZSYZrDFwvhfH8K3EMMzTYQzYGxGJKALB4imVewL/xnPON7DZvdTHvPRuZ9SuiEykqoq9PhNm3DBdiX3g+n6Y/wSaQYJcM4KoZx8h2SngXWpEfZrerlgP52hnJGEqsFjcCBxEMcjObZ2KzgYJ8WX6QW4/wklzPLIQ+2gBu724n94WYiz5m4kljBeLKKSKAQnTxBMivhGJsxiqIUy0LYTGna9Y+y7y0DG0VnmLfaeO6dBkznlrjazv03aCTcCmgEGNDTfrKAZKiArm8Kev7BWSM5jKiyqykXebGlptkb+y772YtPZuOF8COcO97Nnk1X2Jt6E3xjQvKby2G/24RzzXo+dsmoYoxnip5n3/iznHKXMKq8F0tsFHdWwrBkJT6flIf3uMEEIwNS8vEEgWAGv6KMKJUoxAnMSBk8qUKVrWBz3Twpczmvj5dzyN3MVy3CnrWt3xQx0G8lpS6AUhXxtIZzL3TheQfcAxHaR+uIZTUU62CZbJ765WpairrwnPfgiJ8XymHj4xy8XMapTDnY7mdjZpzZkBIRCs7Rwp4dUtyX9LjdO2hR99M4MIibClzYcdDKofwqhvKVdA3p+Ju/gdd7f05eEsRkyDMxARUVESJzIVyBUi57EmhzEVJZCelElkQ0z74L69koOUc0t45JhYm+bDPS5CJeT5bIu3p8qcJf3137P1j7rRB6lUrF+Pg4FosFq9WKWq1GoVBw9uxZurq6OHHiBNPT0xQVFbF3797faofUQCDAD3/4Q/R6PQ0NDYyMjNDY2EhjY+Nv9P3vf//7uFwuHn30Ue677z4ikQhtbW1YrVYqKyv/XY6F3y9Cf+Cp8zzd1kAuk6d7sYa9nds5M13GbECGWKslF0+iyMaoYpxK6QyHp+p5O7CFwVQVnqSB2UUdwaiMquVi6op8VK9W02O6g4FpPWYzKF/7OSc+lmKyiJEshumPV+JLFuJdkDN63M1Q9yL+uIb1xSOEtFZeTP4Rne5VvH5Ez6i/AHmxjoS5is7IZi4qN1CqiVOvn2GXqpP3D0V5/u1qJIYCwotSVLIUFxN1HM3cwuHoJpzHZPQMKZCIoV4zxcrcZWLyQpKBGMtyE/glRqrdx0mkJZxiE4dnG2nvlPLOOzAwqSYWFzOfLaIrVMNsphidPMVjO3xseqQasyZCYmqO/X13cfy8hrafJBmfkTE2IWF8HMbHITbiwTrdRZnvItH5BNWyKcFS63QRkwta5jBRrZmlbn0hr51fTvdkIam0mGUiN0ZtjPsrunniylN0jtXy8pVNuEN69FYthko9d9wB8uAcg70ZFKkwVwazXAqYgDwSsojJIxOnSeVkxHMKDJIFHrk3gjntxpFoxyqbQxn2UVBZxIYvVDM/FUcjWqSiSsyRXgtHxytBqyWREOiIiQSIxXDhgoihQAken5izfRqc76aYDqpJpcVkFuP4FmTk8mLU2Qh9PXkGF0yk5VqMFilrW2R853tqKgxh5kajKIp1XE5UMO/LkhHJECkUrLH46J0pYSxaykJUSjIjRSSTojKoSYdijI/lmAgWoel3sUvejnrNCh7/fiWUlrLv+VIu+0sxVyj43OZZzN5uNql7yEgUdE2bOB5vwRPVUZyfp6xgkQ+Sm+nJriZQtJzXu5fz/pVyJnM2RAoFD5g+xjH1MtZzh6C2FmXUjySXJiwp4mSPjsEhMQOX8ngWdfw/C1tx58sIJVTEIll2OLJMXklQKR7HZMyR0hQxOyvCv6jk/fgWekVryJaY8YuNpGNp1mbO0bLMy65vV2KX93DxTILuZB2BuJrpaREF4SnCWTUyaZaVpUGcPUYCaQ2LWRW5WR9HAjdx0WelwHuFoVApPQtlpJEhJUuZZBZ/Sk9Pso4T0q18kLiZkMJEcaWe86OF9M2ZWM4oHy/U0xut5CSbCSpMDIYtnB0twXl5Gd2xGnxxPcm8DBCRR0QkoWTBn0GpllAs8mNJjPHFm6/w2F+VU3fxFaZ6g4hTSbZpXZyKrGYouYwkSlCraWkRY6wv5tn0n9MxtZr5iJzO5G0oZ8ZovdjEwWNWsuNTKKLzLCuKEiuvo7xGwfJaKTlbOYeTt/C2p0XQc/xgy2dv6sZ1bVB3N+za7OPdHhsHk7uIaUppuauUwUFBQnHypACO3l/8EXMD8+zYmqT0D5oZe/08ibEZ3g3eTFe0lkBUji4dQJsNYWyyXtP7TU+D80IRgWwBGamKyuUSJuZUpNIiIE80r6X3kpi6rl9iv7+MLbXzzHhEPHt4HWdSTaQLSllj83OT+jK+dBFKvYxfZHcj27weT6KIM+ckJBIi8nkIJxXMh6SUGiV4AgqCMQXGohQKtRT1zBV8MQ3JvIycWEaJVUZpTRElBSmSoRQKjRS/eTW5gkLCIUin8/j9IkISA8NuJblkmlBeRzSroaxex0M7InT22Tg7buQia2n130Onbx0fnZJwZa6QWF6NRprkLfc6Tl8pxlCpR1tfDrOz5JIZjNo4Vm0YNmzAye2c91egLlRgMIgoUKZIKIuw3rKcM+eluDNG4kkxqUSexbiY5TUidpRewOLrZjBiw6+vBJmcxUUh6TFpY8hSMYKSEiKrNhKubaHAIFQ0QyFBl1tUBNODETy/cNLxw1FePlGFJ6TGUKlHIcsxXNhCbW6AisRlHudnlMpD/GjybjwpA3F5IU2yfp56ppgLXjMf9xUSjCvxZ3RMpK0kJSryShU3FbvRaqBtaCPmVcXEFlIkMhKGc9UYtCk0qSB9uXpG0hVEEnLCC3n6p3QMRm0MZFbg8pZzZVjM9GCE2JuddAxU8vKUg+PRdfzr+6UcPgyy+WlyE1OEtVZUpgJmZwXmWS4vAsRkkKKRprhP4+Sn0d0M5ZcTk+qZSFkYSNfQHzBTJxthBivPiv6SDu1DGMuVVE8dQ72smMcVP4eFBVzxVShEKXbVDqBLBTgWs3Mluxx1Noxh0U2tapIK3znuWjWJW2QjKCtFJ40jzywymyggmlFhLYqxulnFhStaRkaEsdHbC9Eo/Ot7hQxGyoiJNFRtsrAwHqR7SMXJ/iLC80mmUkYSWSn6XIixQAEmkZe/tR9iy9RBrM1W2LQJl2Izh31NLGaV3FszyHuTdYwuGskioVnSzZdrP6K37iFOjlkxrypG7x3m5JARiXeGh58opWnoNS57i/As6jl6QsxksID5bDHprJhcPEUqlWMuqiGVlZDPi5CTRpZPkhHJyUmkzInNjOfKCaXVGPUJ5EVaIqEs6ZyYRF6JUTzP4y09WB/a/O8ax8FvHkf+VgG90WjkzjvvxPoJkUBdXR3r1q1Dq9WybNkybr31Vr7xjW9QWFj4W3VAo9Hw4IMPcscdd1BXV8cbb7zxGwf0LpeLV155hW9961vcfvvtmEwmNmzYwMDAAMeOHeO+++67Jt79XR17tf0+A/qvfd/CqelyprExNF/Emdly/PlCgkk1Wp2YIl2Gcsk0qbyC02xgKm8jgpaIshSdDhZSWqIxMXHU+IrqkNy6GccuPRKJQHN75qdmTgfrqDcGeOKLcbouSAiJCvGNx+jryZGOJtla3Is2F6E9cgt+uZVgREoiJSErlqLWy5GH5+jzmxkJFOGJF/IHiqM8bD3J17q+zMlII5GYlAe/VMD0QIjxxRISeTmJtIR0GvKpLAX5BfwF1dx/WxS7+xAXF1dwJV9DV2IVF1INmIszvJ+8hbmg4porXyYFBdIYsYSEWFYOiBBlMlSIp7jjP1fysP9HPPmL9ZweM9FzWUEoJiObAaVG0ATMz8O4R87FeB1HY3bOJdcyFS7g0hUpI0kbsnwaf97ArLaGmx5eyXj/IkF/jmX5SbZJT+LXVmEul7Mld4LRwnW0+zcSiYoI+1NMj2foHZBi9nYzPpTGt6hiPGEhhpIcUrJISaIgllWQzEoRkUeejlNw6RThqIjDczdx3F2NvFjHoGkbJy5oic6EES0uMrOgxuNXEItmyQWCTM3KSMWzaHNBvH4JelGEkswsK/JX6PWZmEkWkRVJaDFNkYss4k/rMatCVIS6mQmqUKvzpDMi5qfitNQEkRdp+cHfKwnGFKy5WUt+1ksqGCePiEReSQAhScznYbnWy+aNWarUXsy+HgwGGI5ZmE0WMbuoZfRymlw0jnxlJc8/E2TsQpB4MMHEjJSxgQTbva/gmckzFDXTFVlJHBVKtQStFrqDVSzkC1lRmcLrg9OjJiSkkZFlo3WSf5h/lJnBMG19N6Es1YNWy2vOQk70F5MOLbJq/hixcBYvpYynl6EgSbXaw58UvIJnPMlYqBiFUkzIsJz56RShRSliCXhyRjyxQmQyETIZBAM59NkgO+on6RE14XwzzIkRCzIZZFI5ahlElVvkYraRTEZMemqWaEJKFB05xMzkzfgxICXLXxX9M8Nl2+ge05NDzArpGNtuinDJV0oKBeGMmkCmgHhait+bJpZRUKBI8oWCDv41eCc5pKSQcdcfKkhnIKYqIRhTEEtKkUihKjeKOeehWBomgQJFJoY1O0VwPs1Ywkzu8hBV6SGc7ybJBUKMJyx0eaycc5sZiZipqZNgrdGycp2Wtp61HP5YS/eIlvFIMWO5CiTVFYRLlzM0o0WRDJNPpvFIlzEbVnPzqjB1zVpOdmtZkJQSDWVZGbvIXU0zn72bM0KM//KPk5w/nSZXVMzApJr+iA1VdA5jo5ljhxPMzWbIZcFkEdP1rhffggzJnIcXT9bxzgUrzuhGXKkmZtPFxLJy8tkccyEl6vwijl16PB744AMIhcUoxCmeLHuDP9kxTtZaQWg2RjynRqZTks9BICSlN1DGqPlmnn+nisNzNzEUKCE0nya3ECI1G8AT1jK9oMEdLaBvRMVdwYMYEtOUF4VJZKVEk3Lk2QRNuQvMiq0kxBqKZWHCCzkiUTHxnIJYXk02LyG9sIjEN8s60QVuS3ayvWkB833r2bRdSUXgAr0jano8pbinc2QWU6yRXKKwWMJCRs90QE3nzGpGR0W4o4W44wa8aQPJvIzFrIIcEiTkUGrEDAVLiafELATAv6gkJtFxOljHKflW3IYm9k9+gdOBWnwBKSUloJYkUeei3LwhyyJaXL3ypcpPmhJpCFEuizidIl1WyaHJtZwIriYZSXFL2Si68BSzKQN5RKgshRjqTHjSpVy6JGwiLJFALCYwgzZvBm+Xm/TENMcSG+hPryQgMaGz6uj1lDI0JqM2cIq9d17AescqnvV+iZPjVvKIWV8wSOLkeS66S4jkteREUqSkiEbyxLIKElkZ8bSCkYSVxGyQkzPV1Jcv8tLK/8ZrffW4cxaUijwpiQpPsog8YgyaJJuU55FHAxRKIqgrSvGFVSglSSShALlQmBPzDXRHa7gypcI9K2ExLiESSNMXXsZcRElDiZdazTQLURmJlJgcIiTkuaNyCJ0mz8HgHzAjtrF1bZh65RixlJSwxoq6cTlj2jW8PLmd8+EV5K4M82XP37LFMIA1Nc5TU39KZ3wbkKNMNg8rV3J+1kokrSSaVwvXWapDb1Sy4dEV3PbVWgqKZaSjSS5OFhPNKFGopWxoSqL1T5JVqolllSSTggeBTAbu8QzJrATyeTJ5KZNzSuYWtWTzYrJ5MXOUkkZOHBXJvJwQBRRvXU1nYhvKz93N+2V7eOq1zYyHDCgVIBNnuegxkUSBQRlnq/gj/rl3Cx+eUqLT5VDYjMxdmMI1X0FwLABGIz2eUjbNvI47WkQ4q0GhFGEsV7LclkAjijMWLiGWVmBRh9he2keL6hKFohB+sZGiMjXxpJiFuJK4SM3KZTHkiTCzMS3+bBHyIjXfWHmEndHXhA5f3S3336n9TgP6/7dWUlLC2rVrWb9+PfX19SgUit/6XCKR6JodZjKZ/F8K6F9//XVmZmb40z/90xsCbIlEgtPpZN26ddfEu7+rY6+232dA/95RBVPTEspXKCiMTRMPpRDJZSjVYrYYL3PXnTkWpQW4JkqI5RTI9WrECjmRhJysUks8ISaVEhARhUKYVIuKhIz82DH4uE9PCiVrt2j58j/dRNPtRs6+48PrF4KH+XwJfoUVVbEKa40GbamaxUVAJEKtlUIiTjAixpspJo0MrTSJ3GLgV5MbGF4wEM5pkYsyrLaFGBiSsJBUISaPlAxykhhEASJZNVORQsIUkJBoORKwE6AYuV5FVG6gl0YWY2LSOTFSqZj6eliTv4jc50YsylNuWESaz5DJipiIGzEQYEu4gxcGtuGN6wFQkEAuyVNn8GEqTjMyo0aST5NOi0jk5KQlCmYypQyEyljIaAjm9WSQEI3LGOhJoQ7NEE3JEQGV+gBD2Wp6xrTMpQr4mX8XkwsF5PN5Mjkx0mwamVrOQr6AiYCeuYyBFDLyeTFSqQitLEkuC1KyKKVZllviVEomORWo5dxCDX2LVXTHV3DcW8+ZywV4Z0EuyyPLJtAVSsjI1MiSUZTxAJGMGptqjuAC+OJ6UiIFZeoQsVgeT6aUMHrSIgUzsUKiaQUW6Rx/Uf4LPpht4HKyCnEuTTAovCNrIyc43qWlb0SFLBklF48zG9awij5sKj9TsRKiSSniXI4GyWW+Kf8XdNkQnukcrvkqcsEI86JSwlk1gXwhA7mVXJhbxuUhCYnZILrwNKJsGl+6CG9Mz5ncesbktcT0ZuZiWkRSMTpZkpxSw2JagSibIj87y3xAwkK2gOWiCe5f3sti5Wp+5d7IK/H76Mk1EhgN8fqVRj6cW40vU0QopcafL2KQWnypQkRaDdaCRbati5LSl9LuuQlFPk6hWUm1xovNkiUQkWNfl2PcpyOVFpHLCeMlGhMRzmr42FPF0KiErskSLi+YmEtoSWUkiLJZzCUZ/gd37x4lV3me+f6XKEBYAAAgAElEQVT2rfaue3VVd1ffr2qpJaEL6hYSYINBtmXMxddggxN0THJm8CRmxs4ET47D5Cw7mRNw1skaJ8shmRkcmcHYnEACNgYB4iIigVC3QFJL3VJL6ruqq7qquq679n2fPwo742TOWs7FGa/z/vnVt9b+1l717e/5nvd9nydjtZLy1giKJrJn0i8vs+z14CECIqpo8yvVPyUQ1zhu7EAyG+wOnCZiFFgWerlipag4YVxEwMf1BRRs7mh7kydXbyDrtwKwM7WMWTE5r/fhamGMssH6ukfDkhke8JjY8xvU4j1MrbZiuApxM8sFbxgDjbzbwktvx3huZScX7EF8UaQkpvAQMS2Bcgkkz2H+RI4LCyq2J+O4AgMdDVpHEpyobSHVF0HRS4yYU8zWupgzOqjoMhdnXGrnFtk66vGxuyNsWvsbPlE5SFeo9Lc27n/Hzl3T4KXvFVirBCjnLfIlhbyb4Iregl2uI2WWKBsasuyxmFEpeXEUz+REbZS5KwF0U6FqvrdOT8T0FUpelKS5ypf6n2b8epXnH83wznIr4ZjEh64p8/nrL8Lu3ZwqD7JQjGGhcu2NKps3OEzmengzP8IPXg4yW0giSc3LruXJVC2NebOLih/Go7l3Q2aJ0dXX+ET9cS7Wu3BiSYKKw7A9w3S5i6VGG0gSnwi/yLrSxgWjj7IbxUdAxEXwbDzDISGU+ZXgU9xyQx3tEx/l9GnYd63Om8c85iopPNcD32dnYJq7P2Hwg1N9rK/D3JUAy3oSzwPHE/FF+b1/j0CIBrfvztKmL5Kth4kIOkI4xHq9eZ6s6wHW6iEuWAPMzGs4DZMucRW/WmF1TaZa9rk5/DaZi3XOrnfiIxKWbT7WM0HObDKo5xYjrNlxdE9D91SW1zS6zHlsX6ZgRWlVq1z3wQjz880+hgsXYGmpmU1sD1W59NYaF4ptRMJQNjWKXox6HUa7Koy/L0RcqZOxUxwJfoT2sV5efEngcqWVrkiZnfU32VQ8xgb3PHsjZ1EiKnvFExTrKhZNggd8bE/kojeIIML+G012XHwK5coCK1I/JTvIot6GCHTH6/yr34xzeSlAoSTzqdjLxLpirHhdONUGBTOKhkG7XGTdS+AhIIs+ahAG1AwZo6XJxJcyqLUCgmVxHW8iqQFaUx4f+EiQ1cQo7noFVRNIbWnn6OUuSnqAra1ZxgaKzDgj5HJgGy6bhRnaW30eE+5BW53n+407mPd7qbohVith4pQRzQZlK0iVKK4nMleIMuWMEt/Qxp13NrfbkRMhzl1o4oWbdhQovjPPi5eGER0TT2tmeH2/eckSBQ/LAk+UsW2RUETCdXwSXpH94ouU1A4CqTg7d0kU1kUsV2ah3MKcP4DU0cbjj1SZmg2A67KtbZUT1U3k6yHCskV/h8283s6rtV2sNuIUCgJ1U2G23M5SvYVFp4tXj4c4PDfEtLeRfy38ORGxwdbeKiPtZWZLaWTBZcCZJRiW6BOXGPDm2D2Qo+xF2bgzzPjtXZx6rUjBieL6Ir7rkS9IlK0Qtq+wXle5uJ7kmtyP6KrM0JTu+5eLn2sN/S96LCws0NPTgyRJPzX+45KYhYUFNm/e/HOd+3dD1/Wfae2KovyzAf8HHmgKmExOwnJlgJH+K+y9cZ23Xje5rfIE91yc4M753wN7I21KmWQ8gqZ6ZBcs9HUJ0dUAhUpF4Py0z4UZn2efcukI1YilNVzCaBGZLGm+852mrPxio5WSJ6N6YPsy1XyYZT3FrnZ4993mZUAUoaF7VL0IqqQhBGQ6lTKa5PDCpY24LkiuwSZmuVE+AcvbKYvbUUToDa4RcirMm52se83sj4zJ2xdbOCNdg+sDrku8XSPi2xQvr7OFNVaUbgpuC6nLpxlLvMufOR8EQeTGDXmyDsyc8xgdFdnHESaOWYx2V8k1KriGQ2cgT82PMqb/DegbUNUU46kF0vMnOK5fxQVjAxUjgOvLgICHjCZa2JJEtQqSF0YWPApiO4fsfeTqISwUHird1fx4+B4AMdVmaNBDLmfpNSZYie1FbA+C0SCfh3hC4N6+I7w1ITHtb8L3FEa1LCetDSx54fcKJgR8RKq+hGP7qAGHPS0XGMu9wGR1jIKzl3a1hO+ZqIKJUK8h+0EUTLojFYLpJL3ZS5TdCol4nEtXwhimjEGchGRwz79P852vxRHmwLcc8GXapQLZsoZdWmGIErof4o25HlxPpBzey57hKv1Zk2LZZVC+yF2xH/FE/hPMXeqlgUaBGBm7jZRTIiYJrHtRPARsH9bW4JeuWmf6hMNUvRctLGD7MmUxBVKYETJ88HqZ5dkGC5kAZUPFABxLpOz30aqU6UnU0I0Er1VbWX1TpdT4AK4PgutzPtsPgCT4BHwbH5HLDOEjovo2ac1jvhil8KaKrPWQKaqEiDNsrDKWnoRNm7jQ34WRydHTGmJVDuI4zSyObHv4loPgmtglGdeWsX0RFwUfF0EWSUfq3N92iMnZKC+YN4Ev0OIWkQUHQVLwPA/DUzlofIaeLAjRKL5rMW8PcjTbzKDohLCRkEQf3/PxELE8mSevvI+aH8JHIirotDur5OYi+KEymXqQ6rqI44Ii2oTWl/mi/X8zXVTJuwlMNBalQYKCg+AJmGhcNhI0kKkTRsUhoEkYgoppiRi6CMt1rlIy4MZBUbFcmanaIG3ZZkPtuXMQ9kSWjV7O233YKChYFN0Yb69oKKdyHLitwD0bnoINgb+vI334b4cefhhydgJkKJoRkloD0fIwUTn6jkzcS1Lyonh1EbEBLS0RnEAb2UoUSfDRQk0LjaapeZM4EoCo3HTXfOjBGtlZj6io0zEUIOekeHj6Nk49AVnTxrAVZLlZfjddjLCUFUGWMewADjAczhCR8pxubAAkwqqDbUqIQDxgslm5yL72Mxyu3c7TpdsoriVIylW6PYsc7VgEKNZF/rjxMT7ZcYwVLU7V7iCmWFxtHSfrpVhgkKPetRzsb+FgtofnP95geVXij+LDXNVyhRahRN0PIuAzb3Xy+0/3v+e348N734l40KbsKNgeBCUTH4Frdrqk9wySBTavXyLnpPB9kaIepW42iSzX9og0cmStJHXbx/errDpteIpMskXCKBsszzlEqYGq0hGssZQJILgGtu3hiw6yquIYHr4vUCbGm94eWkMNbCPAmp0gm4XrhrNk7QJPLY8CIrIMoeIyb690gyIy37eD+TUbFwk8ePUt+JVtkN6c4rnLKThqkj0yw5H8Zix8alqEl/TruGi3stc7xluVLfQyySF/PzohItTIk0LCwUIlTwjLDXLiu8c5Efq3EHfpkatMrY3iIhCWDGKtCmfPwpzdQ6OllZcinyLpwK0dE0wHuzh5IUK7UiUZc1ixJQTLxPdtHNtiILTEwHCVk0tt5KwWKkKcrjab5dooGbcH1wpyaKrJhOdrKk7d5PJzMjm7BQB7NcjJv06Rc9sYDc7R72eY9jdxr/JZMksKz2jXsn9sBopFnIqO4SqcXOuhXJNwfBFBgDohSmWJqGPT2an8ZLMd2H07k5NbmJ2FmSmHXLmXmhdGiCiMDxQ4WYZ1J0q5HCAuWQTxqdkhpEaVXVstXiqkyAodlFIjXPzCf2MiP8D9r38S244CUMvVubF9mk4jSe5KHB8VBQfFaeCKKpJoE3FLqIaBE47i1GV8RGq2wtkzDl1hj2TModqQqZgqjidyliG+FvtPtMvrmBkYXr3EijFAyY0xQoAPxF/i6dqHOSmM8NqlCvW6yJBisLQERZK4iCgy1IggaRYyAq7d3DOzjV4+F3yMr/Yu8LdWbr9Y8U8C9IZhcPHiRdbX17Ft+/9z3s033/xPecw/OKrVKh0dHX9vPBqN/uT3n/fcvxuf//znf6a1/0Maf3+WuDhZojjr4IfCzAnDXH4dhEqJRwof44fLO5mRw4iCR83RqC+LCILIB/1XSDsrZJVufuR/kLoXxHV9XF8EJEo1kWvSM8xLY9Rq8OqrzVrWWg3yZQ3HB9dq+vsIOOhll6Ov+ZheAFEU0RQH0XHoVNYoiq04qBieg2mYuIKLoKqILuACmooZiGI3XEIhhVv+ty7IShSe83FdCwmfuqdRNEJIqAxIi9hanLU1jVwV2twG9yW+D5rKHy7fxWwhgV0bZSiaI0ea13KjrGZ8TAMi2RLPmfv47qX9CAL8UtcxyK1x3BujbAm0xi1IyygXCmzdYfG7N05wy2MbMcsKLgIBTGJUEEWBvk6bget6mD+rszgrk5aLxNMNQukI+skGVRc8T0TBwgdEwSeRgLlclGpeYYJ9iAKkOuH64DmO22n0cpx8I8zXY7/Hg7WvcNrbysR8G3qgeUAL+KiySzSlclVfiaRxhfRoigMcZvyFh/hi9T+Bv42cEsH1YkhYzLudqJiMKWepBQaZuBzmHev9SMEA/R1hBgKwMO/h2jCyXWNiyz3owSpJrUFK1qk5HiFZ4OXG+wiKBtuFk0y4O/EARbDJGjFeOJtgtCWLr2n09oV5ZPFXOWe3gueToISHhEGQgi9xu/oKy6lRyl6UhWqSeh0mZ6NUTRHLUxhos7nxlgCTr1WZnXF5O9dK+7pFqKWFRKJOoRTAdprcdlix0FIR8gWXip1AMjxiko7rg4+Ij0CdMOAj+D4BwcXzm50K4NPT5WFUTRp2kHYnT1IwWGKUKk3loM5IhROFINvyr9BqXYHADcQiCU7lOnA9iZAoskc6QVrM8/9U7yJvRnDx4b138yH5NbKZdhjqgYSAm5VwBIV0VGdLX57e4BqHTnVQ9qK8ru5nNC3iLxrUaxIXGMDDRRVdknGPqqEQjYLgmFRLFp4nUPHD+IjEwi6bEmVmS/0Yro/meMT9LBUvAUi0s4q+bvG914epiVF8bERcIlGBoUiZuSWZhqfRIuYRiAE+aa2E3B/n3FIAF8AH3Q+S7I0QKcvUy2BbHrks2A2HVCpAcc0hb6gYQroJwIAADh2BImt+ilfnBvj8A3m+3W0xfufQT5vn/A+eSgAvv2BTq0lElQau4RKU6+xqW+FcqRNFFoi4JgXLbT4j0AQupUYQEAgHHL589yqPPhagYIaQNZlgXCMWaHDfniyH03fz/KU42zpPcqt+jGwuDQMDHD6msd5Q0QQbXxbRdYmTkx6yJ+EgotkW4YiC0hLgU3fAYGmZLz87hG7JRKkhSTaWpCGFA+y92md8cxscm+EZtYFVjiLUDY4543hSgLjSoGIEKHgt/MWVDxEV6iB62IpKJdjOXL0fC4X2sM8kYyy8apLPg4VMrgizSicj7Su8kw3SQONdewtuQUYQHSQ8JBzalAojV2nkjAjz5w0CrsVIdx1d7uG//3cwjEHiQpyap5Aql7lmV4l3zjezrCPxHFGjhOcmcWQFIaDg2iIOCvVQmkOFcRb8IFvCi9z3WxEyh85gnLvMZb0PAXA9EVmEkOZhGuD4QpMJ37rE6+VWikWZiQm4tWOZdGGesc4YWaeV/X3TvHIuTQOVFqnBlStBXCRkbFTBRhAVnn66qcorWg0qOZ2nnGvxkBHxcS0HXwmQCwzxqLGdrBFDo4FOCEkS6A6vU6562L6Ci4QAyNg8X7+eXD2NKrmEfB1R9NFkAcMPMTsvEg1VSSpwqhhgtdhHa07n/tYXOXDrWQ7fvI/J15K8vDCCpMqMJMtU8wZFWkmPxPnjb/pcd5vNfLaDiNPgmlGHS8uthFZNHEkkFFJZWYFsI0rAV2j3c5QI40kyFTuIbkdxkLhgDhBWDKp+FHNRBtfnnNNPoTzMV3/lMicOrfP41HZ0Q8D2fryThPfyEVCrC3zjgSxbbniF8dzzjG9bZowDTOk7OdtoxfehJeay9+Ywh75rkKmHcRAJhmCPdpJlX2PK34xkmZycEKnXPUDiSG0XE2ePc/BVlamigCs5yAGZxWWR1xfDvD5hkvEjAFQJkzNixFuhUXKou2FWdZVIexByIiCAIGPaHoulGAOxAu1JcE2H86U2XGTm62lyUpyr5BkA1t0IFgqXGSLqC6TiNgUxQUNNUdJ93lmTKddBFAMEgw6yZyMIIm4oSkwDvdhAck1kVWJF7OWJpd7/fwF63/d5/PHHefbZZzH/R6vx/8k8QRD+xQH9L2J8+9vf/pmag/85y3IOPzzJ3Ik4viBw945p3tK3MTfr0GgITNkbmWKEqKcjBwSqtoZvNcvD5pVhql6Yu3qOsXVbP4++1EPDlihYzYvLRmGWYkXF85qg3fNg7pKDhMuGPoeCHsYwms1oet6kZoq477FggUCzfthFxBUVOjogX4OIItEV0KkqKkt5FUyY8/uYXR8hfqyOY7ukKENWYPdtaXrGfuL8ziuvgH7eRfRd8rSSsGvY1QYVM4wu9vOH8lfAcFhBpUiUeXOAAW+FotSOVA4haSamIXD6SoqJRwPYrkBSWCcbjjMdGuNCrgXfh0PGjRTeiLCyHuTQyVa0vX/M3juXeecvdPJ2DAWHDcyxKnQzV+ukfLxBwNQpeUksP8A9e2bZ90APh+9/BuPcZd6SrmNv8DT5RphJYwtFtwckKCLjISLhk0rBci6B7muYjswkYxz48If5evEwB+dtsqSZr7hg2fRpWeRIkKLWhZJKcNveIpm3pnlO+zAPiu+nV5hC9h0ydhofkShVECQ6tDI9gQIvrF2F6SvIvoxquoScEvHBBDfcIDM1BZlVhQ9cZ+B5Cm1Snb1b15nKtpFbFZBck/7IGncNz1BeHGK2HkHyHapOAByH7JpEWdA4ZG9gfV3A8AM/+Z9eE5lmxtmA7DQgEmH/HSrfPRRFqdjohsBUvoNrwqfoCZzgrl0l2H0bk8+WEXyVmh+hWgwjFj2iso8g+kQDFh8OHiERdniy9GHqdhM8SoKPoknIuov9E2a2WWjgI2L7zYuV4Pu0tom09wU5dVLBB9qlIj0Jm8k6eEgs2R38MDPGab2ThtWDIvuU3QiSYyD7BrIkMdCuk67pUPNwDQs8l4DoI/kWvxx7hqzUxw9K70edl9gy2GCYGhmjBXnLZr7+TTj4sIJzVkVyfWaMAWbegahfJY6FFmwCdWQZt55HFTT2X+swvDfN8jMT/OCtNpbpBAS2bleAbuYzHr7nozQ8dsmn2RU8wYywGd+2KXpthGISiBKdcQNqNQpuglBaws6KGGaAuFdikMtcZpgZvZ/RbB4cDVUSkH2D0XSDab2PbBYk1SIScGmYEqJlckf3GSbNBKcaHdR9jYDo4AoBgqpAe6fK0lwAyxNYKMY4PPRRxvd1/9S37O+Y/jL5+EWWz9fJuUnmrH7WpU2MhRfYFFhAjcj0NGbBssjQiSz56GUf2/YBH9MROPtKlnvt53jLv4a9XTm0//0eDCPII4duwzlbpbhqseyMEmwUsT2FRl6iZATxaYLPdneVaiCF6YiERR3TUzC8AEZVpCUAebWHt5YjRGSLsGwx0u+SW60zsx6hWpT506n3k09u5MDwQb45/F0OL2/ij96+lgoxcAXimkMTbHnYKBT9JEHRISo1OGeNUEdBwqNdWsU0e0hJJYJKA0MI4kQSCJpGLTaMm3fAFbGRkfCICCZpMUvNC6LbQaZnJPoHqnyk9wJFI8SsOYg11xQdcRywJYUIdQpuHC643P/lAPk8kFVoLa5TO72Gr+vsVU4yJfQSEmw2WwWyjSALgd0wOMiWW6Pcc2uRhx6MU3mjlYat4SPQ0D00ySUlVUGRSYRdhve08a8OwMGHs2RnCkzmeiha/SQ7Ve6ITMHCIjlrEx4yJTuK7QKIxDSHYeEyRT/Jeq2dS6UAkiNQd2J4SIBAgiI3Bd6laIbRCZOOCVTFOBvkVQxTxE8k+PQX0uQPTfJXE92s2O0giJSJs04cHwEPB9m3AA8UmRaxjmQY7NcmyWcdppybQWp623V66xx+zGffnT/ipeCd1Os+vbEGPWmbo6tx+ntNDnxznAkgJzfwEZunZC6H2ogyQobNIwIkezmVD+O6QZSwwoBcJFi3WHXTdMp52ttspko91LwgRjCC4IBftQj4Jrqucumiy7/5P9tQhQRewCEclCjZYvOMETySShXbESi6Uc5lk/yblz5Oqv1T3CUf5YD5X5iMPsBb+gA+IpGExNISZPQYNk2ArWlAXx9OrY5ieAgBEddtXhp9RFzT4eDMHibtVlQMQhhUnQS6E2DaHXqvtFB47/2KnKn0IZlg+yqpmMmtH3aZLoaZWQQJ2LYNLp13MQyfTC2GWjEYDV6hRY1RciQEEQw3gNPWygy9CDokKdElrlJsBEl2wo17Shw/5rDipgmaJvgyqirSpZYR6lV8omR0FcuC/m6IOAZlIY4tNc3Df1HjHwXov/e97/Hkk08iyzJ79uyhs7MT7T179F+EiEaj/1O2/MdjP2bUf55z/26EQqF/lNrPPyX2LR/kcefXmBcGeKOSIlm8RLLiE4orTPv9pOQSo9EVilaEqWIXJS+C5HpkI/2cs0a4bF/P418NomWf4Q/efH+zBlxaZI86xePlz2D5TVBtmmC7TdAe15e5eahENjTAfCbAYs5lKFqmYMcxBNBEm5KgIUoC6eEwcjxIj1Nis3yRA/eFePg7QS7Oyai+gwTovsy6HSYi1FF8k5deDTO53JSQTKeBbJZGJkBclqlbEoYXwHctdoqTzLSMU6rJnM/EsD0JEQ/wcRFZddtACiDbMLhRRZqpUq971L0m0DR9haP5UUpSCs+3SFEgVF1l1txCJGBRVVp48tt17hy8yJAcp2hvplVcZ3/kGIfYjy6lWbki0OHrpEWPkfAyRtHg/vsh5NwIrduYXwuzvJ7it7Y+zwH5UQ6GvsD0fAW3GKIqxFFDIrnLOhUtzUhvCWIqRTvK/cfvZsx5mwOfXONwz0c5+ocmluSwJzLNbu00v1/7d0y/K/D7rytESFMLtbNixtGUrU02xmx+QHVCpFM+0Y4Oig0JMjJtLRJJJ8+o+S7prMEZ92aWiLK6YLB4JfAea+XjSDJLxTCr6xqm5zEiXKSnnuGHi9vp6RNh8QpXanEIB4gEPdS6C3adSLXAut9OVLSoEUH3IwS3beBLYzX+7PEwE9JeTr2uspIxifhVRNnDIEzy6gEeSP43Di9v4plvVDmd68DxXX6cmRBxiTjrbOkTuO9eiy2HnuNzk1+iZosIErRrOpGETNmMklRNJKNKzVSouKH3YL2HiIvtyyiCR1pc4/Q7KUxboCNc5r69M5xI7if6okytBgZBZqSt5IUYZTeAKIDoOqi+Tytr7JFPUdS28fj6L7ErfpbP8iLTpTS6kuC+jr/mns0TbJv9S6ySiuDCQiHK9TdE6a5Cbq7O4QdPQHQzqgpuzcR1Q3hAlSCj2hrd29qI9rRy9LkSWb0NEZ+lkxf5871/wcT+q7h4zoYKqAG4b7/Ld94YQpJF4iGTDeoy9/Ud4549F3go28mTR7vp6dfYuz/KoUPQEzIgW2SimCBnJBCizbI23YkTVywkwwUfsgUFR3CJeHVa/TXKq2GKQhDTAsX3iMYktqZzjClnOLDwCAeu2sz9tbuZqvejKiIjuzR6QgYzb9UIotKiONwQP01nj8RDh8fZx0873f+EsJ+Y4MkbD0L7NHe+8x9YKPXhizKhvhQfS73L8myDM2sR2slRJIluKNjue+weYLoyz1zexnG/lVZxHW1A4itfgeu2VTk+FcIniMB7bL4YplPIolsykizi2R4OCroXZKt2idXwMOPBOU6tdjBb78D3RUKhpuTn6VPQb88xlpznjPYRIpEyyrqNi0ixKPHIX6X5rvQF9kmvc9vWOSLhveQrHvGwzXCiyEU/xYaWAmfW0hiWj2LXuZ5XOabciCEmiKsm+/eDNgxP/ZnAbC7N9QMr3DN0iAeOfJQrCzEkBUIRme5kA0mv0R6qQqHAvNVFMGBDNMjCvMNYdIGqvInVjIQnuMQTzUtwa0QmadSZzCVZrsg89RT4ep2FpQTX7NhGxFphod7CVHCEgGrxIf8wX1n9fb7j/zLHlZ2cW0px//1w333jLEezNAzwEAmhM9RSxnccAo7B8FaVamqQzt3N0qzXj0Cu2I4WklHjKgvzNqvqJm4dEfhId5bj52KsGWFcAVTJpWprnPI2IfoevuXj+g6xELTKJgVdIy6U+aPQf+REy208d/k6HF/k/c4JvnLTAp29Mk88rZLTWtE0+ONv+mTvLfLsTCuCJBLVoFSWEESRYNAlZtRxPAXXcejrNjFzVQ5dGiZkrjMQyjG6N8EDf5Di4Q9s4+X6Xia/+xa5iInjRajldIoYNJwWnNVl7r+tRjXSQbmmEJZMNmsLpNsVJgqtIEb40FitKXcr7eKUuJGaoTId20YqsY5Z1PAFgXs+WuBrr2xmbQ4cDwJSk1yzaaqS4XvUCVH3fVKax1BghUm6AZGIYtPtrTAsXuRH7j7qhJgsDeGXZY6t9LE1dTP7+04RquWYdQa5d7/D4Pt6KM8WWVz0qXhRuoImExcTZBpd2J6Ebngk5SrXCCfpCRWgo4PXi1exqKvEpQoj6gKnvO005DCO4eK6AgICIc3HMF0SCR/LslF9h3vvrPG7f97DF7/YVKyybajlG3xpyyscujRMrqrR8BR6vEXGdnn81eIYKysAIueKHfi2S0B0uNv/Pgf8gzwoP8yccA2vH6lwORfH8X0E0SLk+/QHSvzWJ+c5MRUk6/j0FsvkjDjtSgU91kphOYhhwNmzP2fg9k+IfxSgf/HFFwmFQnzjG9+gt7f3n3tN/+QYGBjgyJEjuK77U/XuCwsLAPT39//c5/4ixPh940TOSejVEK9NCuBtR8Xi2sAi28cS3HVXgswT8zz/aoM2clQJoXgmaSeLGR2iqAc5+HCWA7Vn+JZwNXU/TEg0yUaHCXkSgttk9AXLIK0ZRCSdasXj2Lsh2ntLXFzsRDcDqCpIyQRb5GV69AscFXfTf1WUnp4oL7wAlh5iVurG/JNVjpwL4Ho+Eg7DsbWmgYupoItRNDWALClMTTVLfFTJYZeyTIcpIXzJiwAAACAASURBVKqd2E6IOEX2yO9yyR/BqLm4loTim8iCRItQRMOkpiTQWkLUbJl6xSF7Os8nty9gXsnzVOZa6l4IAYGgX8fVIhi+z1CgCAENt+6hhmEhF6Y/lKVz7hg9yi4wLfanTvBWdQzT9blh9DLViEc0P8clZTNKe5K/nO9geh5EMYHnJXBdD4E2Hln8KMdGf5WDuRwnl8YJKjZbhxzemVax3CAtZo37vmix5dYoDz4IpyfaWDA/xMVJl7t2Q/+IysKUCa5LRh0komkYqwZZM4ahKOx/v8Pr52QKhRi2AyHHQHcV+hIVOkZSLCwESKWiRBNNVq7gtpCOGey2jnFxoYu9Y51sKGc5XlRYdLvoS1QZ8OcorseJuCLj/WXSFHj68jUUswkiBZMRLiA7PkU9TrGqotCK6pkoYrPpLCgYtIgVggGXvVepLGeVplmNEyAQSVEIhehTq8yVA3iOS5EUD576FNPzQQwF1JAMrkNYqBJUbBxHQJYU4hTYMihweOwBzHMRIopHJKFgmlFqDROMGu2dAqO7Wjh5uICzLqKJFppbx0ChRJIkedLF85y1r8dHQNJr/HB+Kyfn02haU4c/FhMZ3ZHGOg3hBoyMNFmg5bdWMA2fsfQKzwRvpmIEmHC3cM8tC/ScW+D5Sg8n/HEy0Y+TVkss4KOIMqCRTjcVPL57wsAwLnPg9gV6PrePS8fXePZ8ELNmo/oG7TGdxmqFDT0m/dEadd1HEyyibomJJy9zbngrK63biTqrfFp7jsx3IyR747S2puiX17gv+H1OyPs5wRfZfRvcOfYTE+ambF4+QL+lc6v2JNPqtSzXuukI1fHqJu1SHhQXXQyTjLl0iyvsd57jrcoW5txBRtoK9AzXoT0NyRTpdA+7p1/h8Mnr2JcU+Oa3ZA4+cpFsaID0ZmByjktuiGuj09y1cYKM3MeJ4kbO/NkiLIuMj/f8fRn6w4fhzBkmrO2kxTybgwsUgj1s3pOgc/cHeOaBS/QoU9zWepwTSZvX9HEuLylgO7QoFUpuHEdQ0P0o7dJFOsnw0EMQaqwh04lL8/IvKSIxsU6vvcCO2DLccCPFokju9Crt1YskuxP0dNZJzy5zozZHmf1EOqL8x/fKG1S6GRPe4YD7Vxxub6Pzjj5OPHWC46t9TOb78HyJohPmB+xj+lKBshOhVS5xlbpA0iyzZ0eMA98c5+GH4Qd/aRDwLapOkEhAJ6GqtMYd8lNZsu/avDPXjYPC1HILmVIG3ZZxEekU8zz1cgeHD4d5/kkP5fwFzte7yUtJ5GCYpAbVdYfX3Ou5NjGL5Nv4nkJKv8Ld+wscyu4kFBqmd74pcev7sLAkUbckJk6rKGI/rmDTM6gwdnMbnc9LPLT8VV7ybmLVasF3PBYWRJ54pERuqkIrOppk0hdbZ49yit3uG2TUbpblfeRyrWQeeYXXVjZwLjeK78OGuMVX9xzmxFET+vvZfd84mSde47bgD/iG9Wtc9gdoEcokUwK6HCOf93EcD8l30awan+yboMeeZ5/wCnR18bXFm9B9FRB4xbyWzPEs5hGBjB5nyF+nsxO+eHCcaR8CWrO5PRhSsWwHjTpXxZepODZlN86ObSb3DJzgiZdbOW1souH1k0iKFFH53Oeg7u9BJ8Qxbw+lSgIBMFyZqUInDgqLeiulegKpINAa1tkhnyHpl8nmhhi/XiOd1th3IAHndjM22aCWc8iUVfpHAoRCaWZfs1gy2njwuwlWdAfPlxAEgdHwEoapo2k+8mA/zmqOs/k0giTR2hFEXjNJUiYU9Ll3/xW0k8fYV3sG1h2e8W9vNgb7PjVd4qTTQ7w7wh9s/48cXthAZ2mIzAn4ZvvDUJ7loPlZss4ASC7Fzk7mq0kAdkUv8sD6/wE+PGh/i0xeoWHLeFKC5GCJEb3GuUUf1bdplRq0tEp8+gtptPwyndl3eeL4ILk1Ee31N5n4zl5gC9dfD7OzIOg6b50JE7Dz3CJP0xPPs2+8zPgffJpnbzMAFUn0kT0bz3MZCGTAVyCc4K7h0zy4uIfL+TZc3yMYcMEF1WuwuT5JZilONjTAxBsGt8qH+FCrwfP56+jpM3jH2IxhwMmT/wvA3M8Y/yiVm8cee4wdO3Zw++23/xyW9PfjH6pyI4oiL7/8Mn19fT8Fsh999FFM0+Tee+/9iUrNz2vuj+N/qVPsjh0oXe28fkRE15vMiCAItPWF8RUVx4GKHYR6nYKfouKG8TzA9elN6dg2bJx9jl8THiXVG+JKdBOmFOTd0iDFigyui4dE1C3z9a5HCCk2J0vDpJQKn996AieRwndcdDFCtQq74pd44LqjtF+/kZs+FuOZZ5rmLbYrUHXDnMqm0S2lCaIkEZIp3t87T7SRY7jbpK1XJbPSZNjDEYmAXSNslwmoIlpvO+56hdu9Z/n1/ud4KXgHWT1CSqnxGzuOsu+6Bt3Lb2NYEjelzrDv6nXG9sosTlVxDRupXsWPxblc68ATZUQ8AoJNNOgiyQLZWoSM09rUrJUDGJZEa6vAgjDAsjLMp/auIG8a5u0rPbQnbR78HXjgNxoMrr3N2/khckoPngf1qkcw6KGoEqIooAQExsd8BreGefTEVazXA7RH6liGR91RkTwLPI+Fd4rcMp7n5s+0Ybky8xmVmTkNz4Pfu/Y5rFMzEIsRuOk65jMqRsmgZqkovs02a5Lhq2PMLcnUKx6tMYukXOPWvim6hoNczkXY3lNALBWZWwuhWwo9V7cRLS8zXWhns3yR3/9mlKvzL2EToGdIZclo5Y3MCGU7xMbOKnU1yexaHIsAoaBHyKtT80KUiYHvoeASkD1a2hTqtkZDDBPE5MPiYU5nWplZCBIrLuAbFplGC1UvSjpSJ2WsUHNCVGtQswKU6go6IRJJiWjQYSBRoiGEMbwAli9jNTzi1RX2fWk7L7ymsV6WmqVfOmCaJL0CQcVFER3c3DpbpAv8+9ifs9U+xZg3gYrNl9sewzLhvDuEhsk2YYqjtavJrjezN9dsKvEn7/8+198UIL6hjTvuaBovjb0vxGpBJlcLYW/ezrW3JHj7b0xqVoDZ9Va+9PUU0pFXqeRtXljZhl+qEDLXqXthhrZo/PbHzvHYtyrMFNoQki088LUo2s5R/vqtTtYWDRzbJyA6+A2LRtWmofsoURW5VCAkGVTkVkIjPfxw7RpOTMcoeXGyfjtv5kfQ1hYxbBlDDLOsDvHm2jCzl2U2bYKvfKXpFvzGGxB3C4jrBYo1Fd+0SFhrFL0EKSuDbfkIjsM8g1TFOEgyn7spw/69FZbmXIYbZ/ntzc/Qcvv7mDxqoAZ85lZDzBj9TDsbkbrSDJXfpdC1Da+tgzNnIN0pcW3XAr+65U1+dHaAJ1ZvIi5VucE6zL6NS3R9dOffl6HXNMhkeOzCHo4WRrlGO8PmERe6uvjBD+DcUgy1LUb3x3fzid/dzsc/HUCUJa6WTrG5+CYNV6W3y+XDPdN8SfjPnA5fy/Nzo2zdYNFjXkJoGKSkEsgBGq5KQ4py+36L//xkF/dsmeALM/+WTCXCKX8H63mXdzJd6FKUdJfMZ4Yn+HXtUdrn3ybZHeITG84wHrvA+z4/wo7rI3x04us8PbeTi2YvICJJHvGAQTRgUjZD6E6ARauDvN/KhzrOcOctNQav70K6NMtV+gn2b15k2evCqlkkjaaL6rHFbgwCgE9H3OC2Xat4NZ2YUOeB/adom3ubN2Y7SWdPs3/1L6j5Ia6IvRAKoWlQqohYSgQ31kK15BP2Kow408xk4syW2rlypSkT+ZnPwP794JXKVIsOwahCSGwgOwZXyTMkN3cwE7uGo9XtXDK6qVoayVCDT+8rsfHij5gs9CMFZDaPhVjKh5gtp9nUWuArN7xJe8xE0qt0nj7EQiFCI5SkpS/O1cMVPh58kV/bfZqP/vZOXviRx5MvJpiTNhCMKiw2WpEkkdv6zjBydRQn3IIiOAz6c+zjVQ40HmHIv8Th6Md5Y+OvcuxsAssSaGZrBPJGmJqtYqMwFCvSndB54nGXmi6xcbNEKtUkOcLWOkJDZ7HRypLTQc0L094X5J67HSamNHQtSftAiJjS4PyUxXI2gOXJJKQaJS9Kww4QDbts6SiSdxMIssKO1hU8z6fuasgBCVOOMG0NcamQ5NrRdf742xG6uuD/+q9tPPdOFz2DAXp74fOfbxoCXpiysGyBqq3i+QKCAPGEyIbQFZRGlTt2LvHrf7ad/PcOc3XjTT7UeZZ6xzAf0J/nBo7wHz56hruvuYg2N8Nh4YOMKWe4kthC1VAIezVaNJ3uRI1//f4ZTuc6eL58HTP1XqaPFsnkJArRASrpEeYCo9ywtcCf/7tpGu+cJ1cOMpQoUjCjvGHvZUbcQrtSJGbkcRWN3Z/sR7p4nnP5dixfBknmjo84PPT5Gd731Jewz19mwtyGXve5STzC6XwXL8wMEIvBrl0wvyiwPZ1FUgTOG/0M+PMsJXdyuf9mlt9cwq2b/NLGU3SHS2iKy9BGiTf1HTxl3EYlZ7DQaMfwFMIhaO8OUC5B3F8HQeS0OYp+pUSt4uG6PlPiDjp7JNKbk0zOBHFdgWTI4P4v/8tiuZ+ryk1XVxeNRuMfvbifNSYmJjBN8yfPWlxc5OjRowCMjY2haRpnzpzhd37nd/jsZz/LXXfdBcD4+Dg7d+7kW9/6Frqu09nZyZEjRzh58iS/+Zu/+VPs+s9r7i9KbOEcOxNB3qm3EfTrjA47JDd3N8tVgDO5NMGRNEoOrsovE1qbJ2clCTVsbpXepHV9nutq3ye0qYdqMM1SHvT3+iY0VycUCiAIIU4k9zOZ64FQiLH+IlvWj5Jp7yO95wM8/T0T2dJJl2cZH/MZ/0oPDz0ExSJIgossuSA2W7VU0aBDXGOgx2HzLYMc2O0znvkRdHZyy5c3U9O30J2scPcXUrx1yGNvqIq2eZDO3VFOfO0NWJIhmWTMuMTClQDdgSvcOnCW8bEpJhItHDxUBCXCvrn/CuUk+cGP8fpsFxP1UbyagCkotLR4SLqJIAQYHJGJXj7Jy842dEdG0DRGN4EsQy4XZqI4zMgI7Pv6B5ovdOxvmcSJCThcrXFX8Bkyg9fRGa2R8VYwhrbwlr6NvaEzaJsH2be7wuEn+jG1OOPDRTYEljg218m1vTWivQlefk1hod7GwUeW6PlY073y2WebEm7LyzBe/RMOl67hSf2Xqb3eQ3G5hmmEGZCWuNF9lexiBxNFlZHkFbZYOfZebaMpbvMdLCfpufUB9nGYg9MRpoRbQZVJb06xL1mDl99gX48AdHP4VCvPXR6EWQU33oLji3jIHD+fwIm2YMsSIRn6pBXKhNgVmKLbvkJVjGGLGgHfhjxsCIoYqW5GWSWbaed0vpv+IYm7us+QyUoYgzpvZfrZu6VK/uQC5OGKMUDDcRgSlpATMfbfO4yWz2NMz3FoqoswPraikZRqLBeCnHv4h5RzH8QwNEIhuOUWyE4bkKuTbtfZnfshGc9in3iYceU8jPe/V8dVhN272fLDVXpOPs0+DnMueT254rXoNA+UB9LPwLFjHJy8imyowMl3IKdH6Y+vU3eD5Cthlt+WSW+GjnafyyvNmuTxE3/KuPM03+F2nm3cgS600RG6QjQo0dMDh5/Isde8DG17uGvHHNDB4cNNhRg5FGBXewZ9tcpCPUXDC7GcizZz0G6YoOywfURm3946nU/9F85F70MXo/jxDlipoNch4q/SHle466tbOfHDLCxPsa8zxMTEFh68v0RuweDO/uM80P0jHrTvZa4yTDJgMy6d5nhtKzla+X/Ze/fwqM773vczuktIICSY0UgDmDsIhLH1ymCb2MSrriMLQu005Mg50STOxSTZdp7knKK22cTnPKqfRn72Tk/s3cbZu7Ez5DFqSdNdipXxbdnCNhisETYIBBhxEVowmgGBhO7388c7a2bN0ow0EsIWLb/n0SNpZq33/v7e7+/6JscNkZieRFZ8B9YBL3a8qCgc6OommeswuJZ9v5rBSV8mWec6eGDtOejtIWORDe1AHS5vF/UzW7E+7CA1FYo22cjPt+F6fiXu3gR83emc6F7A9pJahHMVMNp/HiHwPP8OWtMQBVYfzuI+VGzsPiCHY/6iBDpGHOw+ADigXPEgHCoU2fG85sOhnUXZthSw4nrpZ5wYXEw/ULSqi1ptBE9rNiK5HltCA75ridhmD2A/2UjlVlBsxxF+P/bsPlLTZ5IwCH2+Ifw9w1gvt2HnAJ6MeajWe7Cvn4/rDQeupntw1nYgvHIySxP/hYszHYxkzOTPVxwnpfsq9qvHqU1fxb4rq/CSw4KMVpSml8E1H+EE8bAKP1dAfJX8nQ2oz72L5k/kwNB6rPFXSRvsJJ0uZg2CN2sVu/+vt6U/ZFUVT/+Tk+qhZEryoGz2a3gHlnEmU8G6EjJaz9HTnEF2soWOkWySkjpYgMbZwaV0DM5lAGmFtdmk4AdQVpaNZ2cD6kun2XNqOQ1Deey7nM+n1cMkLLLhTYS7RSu93mbWP5hMSnMjb/mW4h22scBuofQRH7X+k5DUhfLkAkgphN1noD+X2v478Y9Y+W72v8F3f8DuFwZ4su1x0jMsbDuxH8X/D9T0PYk/YwnJ83PI6utnwcAF8Hqp71xIYQk4tqRi703F+0Y2DK5A9a3GbXmUApuNL30J3nsPrl2DkaFhHIkt9PePMEgij9zbgcIHaKnpkJWN0/ERAGrhE9jn9PPc36Xh60wmIUFmxHKkdaJ68/F0SrfThAu9dLcOkTzSTUZSApbERLr70xkciicpCbY+kciGvH5eetmPY2kq23++kh1fP8PF01m0d8WRnJdDGm0MdndJxo4t7Czv7pb1VFXJW5trfn+dk12ziY8bId96lRXzu7EltFK0upfaY6loactwPeOhvm8ZBQnXODhYiL+plxR6KL//A9heIfu3ZwVu/zwKkjNwWLthcBBHxwnOsARrfxv5B18mv7UVFjyJ3RGP9+pZtIQFuFMfpiDjIsWFgyjOjaBWoljqIQ+0pEXs7ttCcsoIi++cgc13lqK4vXiXPoBStJTnd10jkQES40dIyUzlxNWZFH+9k9I+gTd5IZ7ry2G4F+/M5djXz6dzl8xKdfYs+NpTOZa3gdZBuOjrpXVkJvamYVJfauNaezz5Oa18b9UBXPsXs7/7YTqvxtMzMEBr7wyy4+08nv4mdZ3L6EvMYnFaHx1zesi4ep4zw4uxJrexfoaHg5dnoyXOp7lvCbMcCWzfDvve83H+8gzuzrqAvB93+tGkNPQWi4W33nqLe++9l1mzZt2EZknasWMHb7zxBocOHQKgubmZDz74gA8++IBHHnmE9PR0/H4/b7/9NqtXrw7T3t97771cv36d6upq3njjDQYGBvjud7/Lgw8+OKqem/UsfM4aeo+H323bz9sXlpFiGeAHc37P4oRmjvjtFLapPNb+W+J7u7h3YxIL7pzND7+sYTlyhA+vLqOlJ5PupFm817eOT4cWo12dQUd3vLxV1AL2xFa+sLaDq8OzGYlPJH1ZLpe701m0MpkfP9WNem4Rbn8htnnJrOw7wpruQzjtb5I70ATvvUfK8jvonzUXR/OHPNDzFo8sPUvSXatZPa+d+MF+Hnk0geecn3LplTf4Xe0KUho+Jker43p8Fj9Y9ha9R09zomU2Kx+YS/mLDu68E+pPp7K/ZTHeuDw4f57ugQT6RpJJ8zex4eQ/khvXQv29T7H/8jLi+3s4dzmd/ddWER83wuXhOfSNJJEcP8jiNC/JPe3ckeqn4qd93L/Ez/DZ83Sk59I/nEBq1xWSEka41JrM0JDUWn1nrYdLrrc4d30Oi9bODF1w+W4KOSNeyn/QwZ1/tpANWSf4Q5vChx/F42g7xnMP7yP35DucffMM5xKXUfrscvJyhznXFEfpExb+bGM7w6fPsHLOZVi8mP1H0jl5UqZFtFjgiSdgo+MMKafr+WimQlt8Npb+PhIH+yhe2siLi3/JewkPcZql3LdumFe/uoeNGwbZ0Ps2uW0N5PadY8O8C+T6PubKFQsNyWuZNWsEMXiID3vu4vosB2ufWEXu0ddJ+eQQ3f3xzEroIi0ziRlpMKdXk+thzgB3K1ncm/YJPu8I5wfnY0++xrtDD3JPwifMyhjhXJeVxsGFJPR2Yc0c4IHCboavtXNiYCmZjnTKik6yqNVD89V0vp2+m+bkpewfuZ+1eVeIn5uFt8VC/2A8X1+wn5/e7WbDdTeHPrJwbvgO1i2/zuIZPrzXUjl+KYv3jmcz1D9EuqWLtXmX+eFPZ9NrSePIyRQKr7zBuu4azqXks2hNOrnLM6TPzA9/CGvX4vmjH7VrPYq9Aex2Xuh8kta+mSxeDDt2AElJPFP9p7x1bgmNZyxc7U6mfzCO9MF2bHGXYWiIfpLoG05i7owurvkHWRn/KbXty3GnPs6l2as53reY7qEUZi/MYk2RvPTsqHcu2dYE1sw8z7rL1eSmtZGibODjj2EkPoEvl83mh+s89J/VSMybS3xWJkvyuliVdYmiDSn8+G/mIH73I+48vosvrGzF/mQxj2xKYnlOO1+88i/E93YxkJxO++GzOFt/wXdG/pHceB+/+0MaH32ciLXzLN9eXIP4ci4rUpr4+OJcrg+mk9h9nc7hVAYTUpnpmMmdd8WzztrE+QvxnGtJ4d64Q5xriuPTwYWcuJ5HJzIo3jIyQufVAfytCbRcTcZ3NZF5Q2cpTG5g+L4vcPFkB4OfHOMP7jTerJvD5Y40holjgCROpaxlxUO55F7ykKv+jg1KCrkiV0rJv/sdv3snj/2Xl1G45DqL/uprvH9kZtAlxG4P5Cu3wre/DblqQMWfk0PuL8vZ8O0V5N45l9+9Ppeqfbmcu5TC4CAs973H9WPNHOteTBzD/JXdxY+SfsWjuHn9Qj67zxXx0dDdrFiXydHUdZyoH2JVUiOJXW2c67ZxuS+T7KVZtC69F/fFNZz0zabmWDaH25cwnDqDR5NVaGvjzq4DfD/pZS73zmRXYxErra386IFPeDTzQ4rmnMOePcAP8/YgOt6FZcugtRXP7rP87qPlpKy4A1E8lw33DmEd8ZO2dhkMDXH5soXChCM8PONDlMT3yD36unRNamvDbSnmdPwKlt2dwaN/nkZKUQFpfW18u7Sb2e/t4bIf8uJbuD6QxqLMVr6V8zozVi2kL8tOfLx0A/vxj+U1AIHhp3ffIU4euEZ7bzKZ2XE8VnSRlfdlcey4hfNnR7Bbh3F/ksuhhpm4P8rmTFs2bf0zSJqRzENJ+7l05Aq+3pnsP2vnvRNzOTJUwP6rK7HhozD9FMq2pSx6ZBkffThI/cUstM7ZdF66zkP9r9M8cxXz7p3HlifSWXX1fX44+AJrHVeIf3ADjxVpbO18mddb7sJ9fiXey/Fc707E5kjA+Ve5/OhHsHGjVMiIojiW5fVw9gzy0rn5l9j6YwePWut4NOsQufuqyL3kYcNDSdz5083MOlxD58XrfM32Hg9lePjGfWdZ9Nhaus/56D7vw3clgc6hFFITh/k/tvSyZsNM2jsT6OyKIzNTKhVOVp/h48aZ3DWnme/syGX4ahtH6+NIyUhk5fxONs/ez5WuVOKHB1iY2UbunXOx1laT1fABX7yni3ND8/H7ZdDtubMjeK8kkTN3mF2vZfKjlP/Jo+f+gTvvSaZ+xVd5vXoIv9aHfe4Ap9Luwps4n4zZCaRb07BuXEVu8yFYtIgUfzOf1MfxTvd6TnfnMZA8k9w8C82DdtoG05nV52dRz3He77iLSxkreGx5A2vTThPvu8Rjg79n0WILautaUuxZiCVtbPi/78W6LJOPjiZzPcNBd8IsPm6x05luI3fGdRa1fEhjUyIXh/PY8EAcj30jg2PHoPbUTD7hLh79jp0ZsxKYRRvDufO4dPI6Ph84Ok9SLC5jsecwd650ActIHeCJwlOsfGAu98Z/xLkzQ/jjc0krWsVp3yyO+O30dw+yIaWWnOwBvqU081dxldx5yU3aQDvfSP492x9rZOG8Ia5a5pC1Opfu1h4uts3gDscQ1rsclJbKuSv6dBeO8x/wjYf95G4u/Eyh3E3V0BcXF9Pc3MzPfvYzvvGNb3DnnXeSnZ096cZGo9/85jfjPlNQUMDevXtHfZ6amsr3vvc9vve9741bxs169nMnVcXefpEcCnHMHUSZ3yjV4iOgNO1B9LyPyNwNKU8FnWgbHryfnPYhOnp6aeq10Z+Sgp0OlmZeJmuFlZP+bFpbE/jy4zk4nRLg+M91YdNOUnifDXuRA7V2JvaMsxQvaUcpakbwWygEmAHVNQAIhwPxYj7U/QVcOQyz7gb31/B4slHVbKmNU1/FVT2X6p41aLO7eDHrv1KW44GWFjy+eTDciOJLA7YDoDgdgIZWM0J9sqAwrQFH96cove9K5+DWVpSMXbB1O/Yzy6h9o5UC+2WK4g9Tm/IAvgu90NUJA8nYZl3DmbkH4S2AZ8sRz8rDbMfXz+A5M5u+a4lY50nQUFQkx1qtzsTNMDiAhgbqXrXQ35aEPbMFT20eqlegKAI0IFX6hHrsK3G9epm66zPoIwNvrQaNF+hJL8SbkkGZtxKR5YbiYjzKRlQ1qHjD75feB2hXEPEfU3H3v6EWbsdetw+v5yLKQynw4gGcHnCooCgpIMqhslLe2V1YCA4HnjoLrtcFdb35tFpGSE7u4eDVRE6RQ1/qbBqroKIUeDgHh28VnOjAf3WIrz/eg1I0glrVjFJqRZQBHtj5vEaVdgelqy1wMB8x0o74827s/2svVd7rrM8+TUrJn6FwDOYcoDFlNf6rOag18XD9Ttz98mpt5ctdkJKBokjm6XreB5of++A1KitBsV9HGXoTVi5C+fnDqC6NA60J9FyNo3s4jqXD5ykcrqW+/m5UV6JcHzV1KF3voCY/itvyKCSeRNj+IMfD5YK6OtRjJbgpgASZYtKf2stIQg/+o+2orkFw5NM0Qy0lugAAIABJREFUCMSDNf4SDPWRmjzMyqXD+AeyKc66SCMZ+PugcOAIDyftQxuZR3XzFrDEIe4eYkFGMh0dgVsWNXnd+4IFM6CwEPeBZZAMQnsbgYeKChHyIceGSFGp1Apx18PDBZ2UO/YGvrThWf9fUM9+FeURW1CjSpkDPI/i3dFJ9XuL4VIvjtQ7EA94wedD8VTC4H0o6QcQK5dA+c8RHg8VtuOovtX0ei7CpQRK118ipfghuTddH9G4fwH+q9l4u2dRsfkjnj+cwaHOVSSmJFM42wdXrnA1wUrPYCLdg2lkW2dRNKjhnb+OIt9rOJKHqDudwdG+OOLTZGxCfLz8OXdO4lFBIF9lXR10dEBGBp4zs9Es67Eum0ld2lL2fKuDvqtd3He/BUehDbtduvIFfe4b7LJwuz2MPSr2BrScHnxzsqC3B82fRFFcHY3Ji/AnL0Bd8UNE4XLo7UV5o5WajlT8fZmoDicKLrQOoANKV1yn/VgKTf25kJYm15lL+gK32x+kqTkOPLWgvQUPP4zH8Weoh9J5uf3LXBzKYVdDEs8mPAd9fQhrByLpIKwswLPyWVQUFPt1VKsft78QzaXHEwhwClABH3DyCrahq5Tbd4JjBZwckLx+6VKc25bi8KYE97+orET0uMFbjLriT+jRElkyW6OwZzfKwD5E4nnKVl7Ag5D1Ox3BgGQ9fWhq/wZOMQhJ8NQDTZQXHgAlVfo/X5xDqeMKsClgVcmgtxd27ZJKiCpNvts2mArNkGlpp+RuL8UbU1EYRji/GIyAXv9IJh+f6sM6eJXS5fW4esr515b7WKAl4cyH/FIratV3UEqtlJc5JG9zu1EKctCSV1Pnc9A3ksx9afGoquyDEIF+7O6gIFmj5P406O5CKbWCyA+aVz2HhlA/nYdyZjYCKNueQ1mhiufMbNR9iTT0Lcb7fB3O957F2daGK8GJb84ybA+swLndFrTSulyB9aaAq24enEwCh4w9LHt2EfklgTnV/hm1upeW7rto6ZqJWvUpoiwfcfB/wMUe1H1lrH9iAwcPyqW87SuXqeobofQJC0IsAqQJy2PfTN1rcGUok9TkRGZZ4+nry2ShFZYsgfp6gXqwRq4BQDgVOt6cTeuFOWTPTKDkywArST8A1s4zKJY61CuPUH31XjicjmPdPZSffRIx2AcL11CJIlPKFucjyvODY1yRL/tVVwctLcloAzb8DdKLwfnFUzi0j1DKliLKsrHb4bnnEujry6bqX3qoyHgOdYUTt2cu1o5LWLu6KB3ZRZmvHrZswWPfjGqbid33CbUUATaUTdepsNWi4kBxOtB8PrKaulgws43t8/cgHsmWB+aJHsTwcRgZwtX2NC7fIzi323C4NNzVfRQsslHs8KHMO4po/q9AKVCGaP7fiMEPofleYHriv0nnof/Sl77EkSNH+OUvfznus3v27JlsNbfpRkhR8O65SNLpdArnNyK2CaitRRx6CdovyN29bl0oIs7txpu6jqQVi9nYXwdNdbBgAc7C44j6V+DhYjxKeViAWkVpA+pzB1GuvoNwFFDpLWf3vyZg7ZlD6Z98glqVDv5AXmlFkekfNA1P72rUSlBWfxPR2irV3BB2cGDfDBnHoTdOXlH73aeCuSrFvn2I1v8FtseD3RUChPoqnqSzqKIUpXQVvHYO13tP4Wr7Gs7hKoStWWLa4kHqW/Mo7nqXsgX/RFn2O3D9HJVtX8Pd+6cUrmiBjQ9TqSkonlCbSp+w0P6razR1xGFNHSApKQOvV461oh0H4uRw7vDj+XQZJCXhves+vCyRTK+uDqfmwnG/E2W7BGrVrb30JQ+wZukQCnvg3FvQ04BS1wmreoNgJJjpw+Mhf8lx1CUKiuKAwIGh982zcxHejnQosobGBRlZ6KlejfrGChSHBeF8CIRAfVqjmhT6RoZZkKhRuKCNopWd1LKQOk0KDqo3H5iJ2zNMQXonxcnvoJCCKHMi8rtB3Qs7PeD1UrZdoUxkAhvg6QehuhquXKHs35yUBRePAzyrwNFChb0P13/zoJ3qpij1JMW2FJT0Q4jj1xAd/wPspVBWhthtA2xU3ncRd7cNLg5TTiUisRvEw4ADHPDWH9o4XJ+MY1EKzs63Ubu7UJiLEE5ERTqoBWBfD1UnA65XZ6VwA9DUhIKKZr0LLXUdRbYLbF05SO8JDwcPJ9J7YoArOLj//kCWpRNd1H/UQ/GCBpS/uBu1dlAKKkWpqN5MlLpDCO3/Y+fw/0ndyD04EnzYumfiT8pm40bp5SMPPNkEZ1EDaqMfJeMUHDgAjY2IigpEeWBjVKpBwEKxE0VTYfdu2LMHCgtRfd/E3bkM3mhAlAQWbgBRKKXfR7t4Ct+nbWgZK/GU/rl0Axp6G5HqkQvF6ZRgxnVcgrlN11GPDNOTkEFKaqcUEjwewEPF/SdQu+9F2bYUUbYF21Yfg6/3s2DuAC9sfB3eegt15CHemvU4hxuTcNw3H2/h87h/fYHiK27KS47xNE6Sm5IR90u8fvQo0N9PVo8frS4Rz6bNiGJk/xoaID8fV3I51ReWkpN2nZbWGfR1DLAm4TxO2ylEuXM0H/R6pc+T1xv2sfDuRSS5gX4qtS244zfhsK2ltO9NqpK/iX1TIZTJdSGehQpjcC6rUOsu4m7Kx7EulRcSnkc9PBul+xpCvIBQX4UDu8lPvx9X8hfgShc7276Ml2fQbA7q53SwNPEKKS0+nhh0yWg/IaQvRUAaUVURyL2voSyphSVL0MiQn2kaWp2P6tNLEfaLPLWgDqXl99DeDmfOQHo6ZGRAYaEEhaZzAU0DTUNZ1QIdM1DWjyAOuqUkZV0o+1z/CqK4RSoBApHJin0zFOdjt2cG3LaaUXgneElA2XaFssLQDWBBfu7S+Om8d/B2z8L+SAG1hYvw+eDq+Ta6fcMUPTKbsmcdQPj8HXyjjd72BO5KO03+upm8VLeRjiYpAEuAno+7Jx+8gAdU7esoBTkI5ypUbBw41oMVH/gGcf96BtpbXajdn2JPa6c4eRb2Sx68I3aUdZ2IfEN6bSFQ24/KvbTvUzl+AQasFtfg9mWSui+Dnstd0L6G8oT/jigchhdeAGEzFmO8TgG2y5TLhjvTDHx9FXAc7UR7UMDweEDN+Bu0bI36vjtJ3XWGnnQrXm8G5Sm/p8zuhpRioDxYnlo7E8/+Xga7B1i4Op7SbZl4azUUVCgqQnXkY++dT+XB/wfFbkWIfEp/CgRcecrK5HQ7HKDY+xC1s+FEK9r5o5CahrK+CzIEnpPpqBk/pHeOI5K8HOyXHtRu7+3He7ANpXQpwnsS4f878BYD+ZSVQX5+QEG4vwe1fzZ2fzWpQ1+BWZn0zMjGm7wO0s7Ar3+NKNEQDgeV1ZlUt90PqX04Gv2Ul1oQ3lcBBWzHcWS0o8TvQ/Sdh4NWPP75qD3PoGT8E+rAA1RbNoEnSyq8UIFelJUpiBedcN9fywjY9nbZuIwM+Tvg2j0daVKA/uTJk/zsZz+jt7cXi8VCRkYGycnJU92223SjJATKCwKe2YO9QaVyxwqUdfMQja9Kh7xFi+SubWiQDL6gAKXICl5Q7KkIbyMoC4BVoBZLUKlWInp7YcdBWL8e8cYbCF+DTDrfuxTliouaLAX/1Tuo0lbQ0xcPVhBKutzdhYV4zsxmx64V+NMB6zKwFKHumoeysAFRlo/LJTGgVpKP83lwVJ1DKV0A+XMlZ3A65Y/h6shgJgz7ZsTWvYH68qn05lO9vxeSOnGstiKcMr+1UmqFswdR+g7hSb4fNcOJkuVCadkPfRaUlWmoju3ynHJpUFeH+/QSipc2sm11O1WHlzFveJBmrx37GS8e7Uy4NqvUitbuxZd2B9qSjRQVQbEDlD0uxNGXEa1vAK+CItC0FCAFpxNoKEJ9cwil+/cIzynoWD4ajKgqot6NKPCA6pAmAocjOBaqN3TIBTP9uY6jVmeiDQ1S374AZs2S3z39NIpvHtqX5EHqtB1BFFkkMFdy8GALDbNLhb52lPRPECUz5BwE2oPbLSO1WloCjv1hEEIKckZJMMjl7QjvXtSRPNwjq3GkdFE+b5dcnyc65H3vIE+ZACnblkKVH2VeNhwLMFqPB4HU6Gp3fJOzVzKxPbQa4fwrhKqC3SK1d4oC5eXy2fxu2NEK/r6w8ROAyhrc9Q4cKzXKHa9S6fsTelJncvBYBz0nTlNw/0wcDhv2opU4EmtQ/O8jag8hGhulBOTYKrVVnofYeTWH5zx/iiU1lS1rL6OUpqF6Rw+FooBQ90rN2ZIC6LAGpCk1NJ56G+0WhLcSiuzQaJVIuKUFJccCPXkoTQdAvQ9PnQV1b7YUkBx7ES8rVO4YYfe5IupemkFh2g9wOroQKzrl1dJCQGVlyNrU6Efp+yOktGKfd68cQu04or4eUVyMKN8SmmOtmeT+XAr5FOGrhp5DiFQPWsKdnM0sxGYLNF+LQyEFnE6cThGwHskiXM/74NBBuHqN+r0rUa9el7La6tXS9WT1N9n3zgquXIVFPc2UrPGBw4GT9xA0w06LST0fGrMwFKX/r2lQU4MSXwNLV6BsW4/6UjY9TcN4X6sD79vBssLBWYC36vNWJBC6c7Nedk0N4tybqCzEnfYgjXM301PvoKAAirdmoNibES99XYL5pUuhogJPQxpqjR/FnhZqtqYGwXVQoaKpuJoyoDMXW+sJyh8/BI3AuVRpNiwtlZd06MxR36f6uASYrMipQyQlSVBYURF+Ha/LJcdn586gSVBsJaiFLfP+Fs7sBi1ZSqN62aa9r6rgrh6muM2LkvoH1IM/xlmxKLDUMnG7M/FGyXpdmvbvEJ9HqXU/Kk/S1yeXQmGhtLDw2mvQvxzFvhRVzWf3AQc1VicVgOIE0FA4Az4f6v6jaJ7ZuLsWUZzwMeWbG6hs/RLucyvg7fcRhWrYhlQenA29R1HmXQgbQ2X9agDs62fiPT6AcrIFVmwJ7R8jGfgcXi9CUULCufkZRUG86AwJXx4PlTtq2H2uiOS8Qgo7aihq2Ys3+wEUZctoy5MaEva1Bavh9GmcHEDkl4E3wKMdLYjyfCorF+HuWRQ8I8rKAizW44GnXZI/Op2yP16HPG+WHpH86KBU9aue1bg9c0nV2uhpuY73tcth+yW0U6SthxIFnt0oP9zpCW+7x4NQVSpKN+Nq7UA7Ng9NG6Ynrosla+Mp3HIHivIkuD6WjvSBPaZox9F8/aCdkcqZ52qlMAuIIjvizb+XgQfWlXjW/xeJO9oTIf4qSvoBtAXnwDGAor2OmHMesfwgFAX2sMMBJ0/K3y6XHJuSkrCzaLrRpAD9K6+8Qm9vL6WlpWzZsuUzz69+m2InIUAUvk3lx9m4vWvhxFmEwyGdTR0Oqd3r7JSbYOtWRFm+1HSo+aDkBzW70l4YQNpDQ9DaKg8Mi0VumMFBOHgQ0fMuFRtBRcF+4t/xMguldKk0ZSLNgTuujHCufQYLs9tQSq2ozz2E++IaqPJLkFVngb5V4GuXWrQKRb5fWSnbW1MjDx/dp8DjQd3RidtfCFvzwS415EppA4odtAU94HCgbN8CeKCyUjLWV9eAeplK7eu46x1QaKO8sBJBKzg3SUEn1Y/i+whOvwvX7kY5fRh16TZ6MnNp7uygp70D775P8Q4MBN1thEBqxcqCFmAcjkBz7QLPjouoV+9FcR1HvCjCzoBKNR93+jzIzkYUvi3Bug5QdNL/1jRwu/EUfAvVUS7zdhM46FL9KHYrkC/Hpy4Td18+BSsHKU70SYFG3SsPdUA8NRJooDPUaECUi9AaKLJDXSNq01pgFkI//ALCID6fBPQ66YdgSYn8rV/1aQAU5ORAUhLKykflHA34pFYkNVWm1nA45E0elZXSMfrgQURpKcJdBmyEymuyXN2e7nbjLMjB8ZRTjoO+do1XjRqTmxtBjAGMKB4kWAtowJXki5B1D/azH+CNn4emPcLuo+lYR1qoeKILkbJIjoPfLwGVPkdCUJUouDgIeTNl8LS0mJj2qP6BfkgXFYWEVrs9JIzoD+7YIevaulX2IaCFF0UCUVsLzJda3j0XcQ/NhTQrQrlHCvkVULMjIAP02HFkrkMUtoXATF0dSno6rBAom6yIqi6E/5+obC7C/SlQoEjNrXFNejw4He/g6MiVKQL375cCXkoKzkdacKQYh1hqYj07G1CraqS7VoA/YHsddbAd++BxHP2fohw7CoOdwcNfbV5Gq38IRuLoTpiJc5sFUWaDyhFw10NjoxSA9YE157w0ASwABgYQWWcR29qhLF/ytZZ3pMXNf1TOa1jezAjzJspCB71eR2kpVFWhnKuDu+7CXnp3uKxRuVfyTn0dCoG6owb3h5mAn3J3gP+6PHJ/Kcooba7DdwnF1hEmXHvsm1G9+SiMSMtqwJWMpqbRwrbDEQLjRtL9UnbvhjfflHx+4UL5nA7w16+Xa93vl+VA+Do1avVLZqL4LKjak5JPB7BzNFlLf7csq46yPA8Ul+AJuFQqvl0Inwdekr5qIjkZvE+Bkk9NTUgGLi8PrTU8HsQzz+A5moRq+QJK8odgW4ny0/Xw0mkZ+K88FBxD3G4psP4AcB/E41qJWpeJ0nQA8biGcL9oaOzLRKWgj1KqbJh+dhnnIBJvCnyu+M9SMzIPf99iHBntlHX9byjsB7EFVIPlycCHhXMVwjkCO1yBwciT6z2wh4KPWn0o2ut4dhbJ9WJvQFQFGENycmhOdf5eVITnJQ/q0SUoGb0oJSlAHHbfB3hbLob2S4R+jOqf19T2AD8TW0HNXoe7fwUFw0coztqHsq1EunOCnEtd+SJE4AwC1TUAdVlw1RLiv6oqcc2iRVBRgaoK/OlgzW6TFmrbfDlO6m9Dc2RUnm3fLs2wPp+ctzEuUZ0uNClAf+7cOZYvXx7MKnObpjk5nSgn/gVOf4JiuwCDWTLKQ1HkRurqkpsgABxUHeBi8GE10tKl0hetrw9yc/GkPSBN7+sTEFdelxK5rxoOvy03ifcZ9Khw1ZuPf7CFhXHnKU37FLVqPvYHl1Hc3ClBputXOE834kjbjEJnOIAPaL3w++UhpTsnAoq/H6ygKBtRd/jloagdpry/AmGxwJZvSdPx07r6X4MXX5QAZ2cDNNZI60RZiFELtTKkLV3ajjj9P2Xfty0F73zsvWfxHryMst4mo1QD7jZGEKEoAYCoH1hlZai1D+GuHgbiECaAodg3w9Z8qYERBu2nxzMa1LlcUFCAqvswEgAZ3r1BH1mQjoxK31lYM0uCp9o/QC0SNOpgW2+gEaDrn+kMubgYtXA77pZA2/Xv6uvlejJZTcK+0wVCTQsBfZBrJ/FLKJuslJflw9N/gBOpMurLoDHG7ZaM1ucLjmNYuw2IQCirQoBJH5hoyCGCRjHsY88qaLQi/PsRGR7IbJKxD9seo/G5FvzN/ai7fIhXA+UaDhuddDZZWmr4eFRy9QAZD7r8AMitrZXjqDdMVcMFB3Mf8vODAk7QmlG6MShU6/jR5QJ8fSi2FLn+nn46CPxEcrL0Hy8rh/yKADALWO8UR8gNo7JSvvvSS4imJsSCBZIvZGdLU7XFInmC4xig4PGE4gHUqsA+bT+N8O6Vwn7dFvz0sjX795S3bof5BVD8FcP+sFI3MMAhTzxXMxehelPlOtTn1ehAD7KT//qv0mXnhRdGA6zkZMjKkv7mVVVyfPAgSggI03nSRXD3WdQ9K1AKj8vsO5E0sc8/L9e3wyHLLpZab6GqAYuhaZEZ16QuSJZaof20dLnypIf2UEGB/LuhIdg/4VyFUE0aUSFQdXncuhqRmir3TFNTSNABuVfNa9UgyAfRdk2NPB8WLpQLWFVhzx4JjM/OQ/npVxG1v5L9drlkW3UBSNOgvh5RDOLFcmA76IJygE8KlyswLE7CBkifp4ICeOqpkHUYDTzV0NYm53DBgqBAIvBQkfEOarvU2IdlIglYh8XJVxEJn0iL8gkQ/ArxgjOc10bgFaqm4G7qgZ77ZBv0OTfvYfNnxnWpBz4ZLW5R6tP/F0Bpr4Wqg2BfXxCKdzO/Z+S1+vitX0/Q4d7AV1Rv4NH+gwjP/0tl3d/hTsqHVD9Cj7jVhTxjufrZ1TIMtjjKX3TIGfO0gOuNAG+2hqw6+j40uHjh8YyW5FwuKUQsWACKgr03i9SP2yhKb6XsZ3dIIdsYjKBbDoxLpd4BhdsRjoDwop+pW7cG50IfXUXJRIjt4cJ9cXHo6nljO10ueP11qcRcvDg0xxHOjOlAkwL0KSkpzJ49e6rbcptuBgUWrVjZhbj2G/APQHq69GFXBUrpf0d494ZpMYP+uQqAgSFpGpSU4Cn6PmrtTBRU6auoCty7O+BgHWLghNSwZmWFGK6BUUmT+yAKp6TWuCGTYtoor0gH169gn/R3E0lHpX+80e2gvDykUdU0Ccz7ZHCpiB9ENLwO1U9C6VcBP8rFd+DiRcjLC7XB55OHwYkTEsAgjxHRUx8CwPq41dVJLaNRW6ooCLqlu4PRhAgBcP4qvPWWHIO6OsT27QjNJf3cG6S2XSnaDI589MBfo3ZAFIdM2mFk1nIYGK2iOOQhaW+Ap38l+2gE5IGDQdgvQFVluAbmxRdH16Mz8AguC0rAT12xN4TAnA7YzcDSfPAE3VEcQUARFB5196BIQEN/P6ChD/NhNNcZy0E5ETKiX58v4OjuRIh8KgjEj1jeAfWyrhIcVURZWQQrbTStnKLg0XJQNQXFJV2rpI9GceSDPNLBYihbKApi4yHIDx+D0LDZCFpl9P2UnS01W7o5PPCw8HjkutdtQUZw3NQkneA7O6Wgcfp0SKsL0pKk5bCjUeD3B5pfagUC8QJuN2rqOvx9+VjXgH1gFpUf/VeU3jMIQz8FUFirceZEAtZcUJRUc4dGU0+PbJ8OCKwytoT2dgnks7Lkj98vQVdPjxxzg2CgNnbi9syFk69Jrbm5LlWFt98OXHgAbNkS1QUlIjjR+bSiILaclIqMHe8STLHx1lvw6quSlxkTUERYQyFXnWPg75GxUo8/HqrPPF5mYGPcL0uWyB+d/wXMjWrrl3D3PQRV5xFLCAkdxcVBy+GodWuepkpVrjmQez7C3vX0rkatmYGS8RHCHyizpCQk2NtsoT7t2CHX6NAQ1H49TDkT1nfdWnH4sHTfMNYdCaQLEYij0lDIAadJ0WEcf92qoSuhdMrPH+3SFHFQTG0oL8dbCT3+DrwHL0BF4N2AcifogmVPk7EmRmukUeMcxsMDf9adghZQHKdkumW7FWrvC42VENIFLHUdSm8XorJSnl3Isx/PqlDb9XNDF5SNlrLy8lCbdGHG0GfP8++gdvwApfMMAvCmLKInrwOv9QHITw+Nq3Gt6J8pCoo9DfpPo/hOybnRrb8lJaF1CwhhsDZjGKeCglCZxjPKOCfx8ZIn1tePFsimEU0K0Ash+PjjjxkYGPjsUzHepomRzmCSk+XPhQswNITKIO4kwiLTaWiA/n7Eid/JhY8ztPH0zCjFxdJHux4odkphG2T2EH8VXDktDzWHA7773ZC0DBIU4EHoUZyrC+DiRZSBC+DqCgEK3UnS6KNtcGEA5KYVQh4efX2SQbe1wa5diFPPStehnRegyhuuGrXZIDNTtlFnECUlIQld14KrakiT7PVKRBZNk2Uca3cgsKy7O6Sp0usJMLlw0B5Fs2imSGAu8DvIGyv3hup66qmwAyk4h2YNDIQfIObyTQec8AT8IWs1GbRptY42IetkPKj0uo3uKIAy5wikNobcgyIBoLHA2lhkrt88Z9G05JFIZ/R68KzJbWvCQsMYFoNgMGSBIuMkYNQ+GrO9Zs1dpH6bAaWuRdOpvn5UEGmwLH1d6wCwt1eCYz1tT3OzdMnLywuBGlVF1RSTYSE/4OKXDuqIwQIA6vOrcA8sB2+yjIEwunD4LJA8C6UwBSEiBMEayWn6XgcdPT1yLvV5XbxYtn/9eml91LQwYKZUbIRn9sjYBOaHxtG4b+rq5HvbtkX2s9XHvaZG8quMjBBwMM6TokiLwtGjwcBWfD7JUyyW0aDbtIaEINxVx6TRHEUGC1woNRKRhfvAGlF+uh6qzkuevyQpxD+93vCYnkj1GgUIs4XQ9L26o0m6is6fjVgacEXTx1bf0/q+8PshLU26f0YiIeQZV1cHK1dKIS4Y2GEaC/35QHuEqiKcChjXW6Q9bLYi6+sLJPhGBF0jo1KgDR4tB1UVcptZA+erukg+E1ibasbfSEGzZGbACmIgc7ong1As8IDWDCUlCOdDga/ywRtww62rCwXZn1oE7R8jktzy7HIQGPeANUBXdgTccvB6R2u7x1CuqLYncOOH826Ey4XiFCE8oS4azZ9MfE0AouXX0AKoIxHHMjifxv91NySfL1wYMZ5RRv4xZ07I4jFNaVKA3ul0cuzYMX75y1/ygx/84LYP/XQmI4O5LyB9NzWFpHLj/vJ6pQ90W1u45sKorbbbUfJDRUOAV1Sky8135hHYtw++8hV5ODz9dMjFRd9QAdApljci4k/BWWBlSUjzomtdjIDUSMaDZvt2+f+ZM7LeJ54IPWdWjRp9uouKQkFjel1GH/3S0siHjfH/aJ8bNcn5+SFGFMkfXqf8/LGDbSJpos3jYmZ6Zoqm2TUCNfNBbNY4GbUaVmtkE3IkoGyuO3AYi9QaaeatskrXjkjazFhBd6Tnx9I+RtOSm8ns4hKM2g65bcXcLuMhW14e8dHQUAUyGFVXy/2XlDR+W/Xv9WcaGkanbDRru0was7AxjNAwz1vXUF8F5U9aELvL8TztQm1xyuvX8UjN58KF8Bd/MVrLGQnn6UBD3YtQuuX/tmOQfhkl7UPoXSPXi+7CYbUilnfI4DXzfO/cCS+9JPulu2xF0kQb96Fu8dPzwJYH3Il0MKaqMpZkWztUBSx2+nv6+ikvl/tkLNLH/coV+b/RemneH4WFoQBzv18CUIcjlIbENHajxiESGI+2l8bjZ0ZGr/uXOwIXP1V+AAAgAElEQVSxTeqiUXt6lGCgk15/YB4pLh5tITSOa2oqSjcQ70dJuzA6OYDBLzzIZ0+ckIJPUVHk/lZVyT1x770R58tj3yw10nZrCHRH4xPRlA+B2Al8vjC+ESu7CVqF6lbjrr5AcUmctGDrYw1BgU/J/ntgHYqvXcaRRLMKRRpj8/rQ666pCQ+yZxWKox0KIwiSRl7y1FPha9PrDQlcRuulaV4Up0z1pTR9BMwPxxNhICNCnxRFzmdOTlhig+DfZv5nXDO6G1JGhvxMF+ajKU8qKyNmy5pONClA/9vf/pYFCxbw/vvvU1dXx5IlS8jOzsZisYx61mKx8Mwzz9xwQ291+slPfkJcXFzYZyUlJZTooPFmktFsGjBBCeWh8P2h+04bNdnGA08Hw7W1iEC0fhhg0gFKZSV8+qncGDt3wu9/LwWEmhr5rN0e2nybNkUG1UbTXCQyH36xam9N/oBBX+OGQPBkb690Gejqkps20mEzFsCM1pZYtGPjPRcLjTcWYzFFCJnK9Wd1Qe7KFTkmRpBnXBtmbb5+YBv7ZK5bf2cs31K9/ImMTzSNTCSQEatLjnm9Pf+8XNO62T8WoUNvhzkTUIR3w4bKBZ6+AtSOr6KsvITQmkM+nLHUGylloy74BVLIjvIJHWsdC4G6Z49MG6r5AhmBFBkQbotDNAbufMjLC8UARCo2EgA1zJtwrkLUPQNNTXj+vgdX6yZ8M4oh7c+xad04Z/0bwusNgQadnntOWshOnpQ8LJLfrSH2JtgosxAjxGgXCXMgnznWZDzStfgnT8KKFeFZUfR27Nwp45rWrw/6jo/K2hOJzIJ3pLU9EWAa7fOxeO841r0wZYBZuI5UR28vov0NhKNBnhXe5eHveL0hN6mKCnmnxj81onb+KcprLXJ9mPtrDGiJQGrtTNyn0qE2LnCvxiTmWV8nS5aEZf/R3x63mMC4Kk+7gF6ZEUqYrCwBgU+s6JQB7Zomg8KNfR2LxrAQjgqyj7T+9D2j87EAXgib8mh1mPe6APFCHqj3RQfw5rVk/F5VpbKjsBCEkMH2NetQen2Ig4GzRed/tbVw6pT8XVQkgTwEsvccDFdamccy1vPic6RJAXpVl16Arq4ujhw5EvXZ24Be0i9+8YvP3pLh8cAz8lDk8cfDDw/jM6oqDxo9LZMOZI1Bb0bBI5oJS4jwRb9jh/RRHR6Wv/V1o2++SM7FkTZNtM0cKVB0LIoERo0gKydH+smZ3ELC2qFnFzGP42TJ2Kap0kbH8H74o1FAjS7IDQ5KjauuuTCWb6wn1gNbf09/Nz9fptUM5PwPa/pEmWgkjafxd6S1NB6ZtbyaJn0qdTAci9Ch168nnddJ1/YHTNyj5s7plP7b/kLoqEP4/xgSfCZSr3H89P6MJTyPsZaURxKgtQHlEZv83+kIat5pKJXWPYslvNxxADyKIv3E/+Ef5MU9i7+H4vgzRMtLqJcL+dfhL3O5Yy6DHQnE+UaoySrgFft1aRHo7w+5u1gscp2uWyfLNlsiIlknjGNipEjzrgO7aBrOsUgIOce661ak96qq4MMP5d/mZARGMrtN6ZpVY7wRhGsax9sLsfYh2rPm78Y6G8bi3/rfO3ZId0r9rDCTuc+KgvoPGbjb14J2GbE9L7y/ENlqa9QW67nISZE+4sZsUrGOkbmf5uHxeGT8wDjjLpyrEMacrkYyxhpBMEFCzHwylnmMsj6CHwfS1xqVJWpYIjohU3QacYTujjPe+WAms8A6BtAOBtufPYtIH+3mGSSj4NXREbaOgNHZxWI9Lz5HmhSgf+6556a6HbfpZpCqjs5uEOkZHdTqNJZp1LjJI2kvjIu+tFT61qalSZOx2VwXiSJtmmjAZSxAE2inp3c16sEZgZtMo2iUdJBlTOEWCYiYXS/MFOsBGQ1URvPNj0bRtNF6xgmI6j8bk+Jb1+Tq5YzFVPXn9d8TEbiEwW/cjC3H09QYyQhydKuLbjnSv79RgUxVJcjIypK/I1ktIglGejuiubPorhXmdgmZZhKXJtOnLikYXV8sglOkuRjrfeNcGy47AhBvPIfobIIrj8POVkRVFaK0FESZ/NEtX2Nph811CyF97y9exLUrkeqkNrS7NyOeGkE5OMgetw9/n40RLAxhoalzLqrXgWCv3LstLVLp8K1vha8/nYz1jeWWFo3GclGYCI03Z+NokMPaYxRMjAkDzAoLiAxIojGByQD9SGR0bzC2Ybz69e/G4rX6O6a0s0pFWiCrUyBV8njtN7rPCREOomNpQ7R2jVVvrFbHsfau+dyIRbgcj3eavzO1c5QBNkL6WrOMJYShHD12RQfzRmFzvDGJWLBpnAL9UDI+gvzlUuGQsjW8T2ZBSC9b76/xTJ7oeTwNaFKAvqCgYKrbcZtuBpkBWbRnINy0G03Tat70ZkZi/j6SBl4XAnTgFctGiSYxjwdI3G5U71zcvruDqfEiMrNNm8KBvJGBGhmNsR0GZhSusYjRJzsWk954B2s0YKdnAILR0fpRXo3aLqNPfUODdElqbZXA2AzqJ3Jgx9KeSGQu0yxw6YHVb74ZvGAk7ICazAEdqaGRAs70daMFAoZravS71kPtMI+RfsCMERQtBPLm0Xq39GMdS6scjSIJY2O9bzxA9cwvOhmVBEaNsr7XI5UbywQ/8QSel4+yr/ULXGlPwOcfCV4C9oIHnv/LVg7XDsLQEHfneFHsqTJ7j5HHjbUedTKu6VjBayQBJJaxH8tVIBJFTIkUobxIAaXmsscZ84j+4jBxN7doFOWG3lHt01OmQniQtv5MLKBX/7dMD7SeoPU2SnkR2zBZgWeseJ6xKBawa/w9mXIi8QdjuZ7QXS8F92UEmh9IX2ugMBnL3iATNRjTQpoxhv7SeH0wC2/R5kBVEX43Yot+r0rJ6HLMPCLS38a2TPas+BxoUoD+Rz/6EXa7nb/8y7+c6vbcpqkkI5CJ5Rnj5jBqsfTPTNqMUQs+loMgmsl7vH5EkpjH0t4G2qT02uCNJpTOPbD7yOg+R8vuoGu6QQJA/W89TsCQ7SOYejHShTuRKBqjGA8QR9P8mgFeJM2kiSLiCrNGzVy/1xsCydF83mPpZ6ztiUCjQIhZ4NLkrb5cvRoE7sFhs29GbOXGNI9jNdQoCOsBw0uWjH14R1rDkYDIjR4uZg2X3t5oY2E8QM3ChgFAe6p9qGe/irLeFrqVONJZG4uw9+yzqCnQ+t/6SBgaxrYiO3D5lB/7+vkUdtezPf1lxILL0m3PWyzz5E9kLqNZtYztMHbCbsdTOxK4Bbp84ssmVnAcK0g08qxIMT5GGmdTRbpRGpg6IDNWOZEEcRiVkjAmTXIkinXcI2lsdYo2fsbzYSLAPtp5M1HFTaztNJOZv5vrMGvAjeVWVqL4z8q7Xpwb5cdRXIeCr+n3gEQLkjb2KZY+mNozplLMrPyLZd1MVPiehjQpQH/x4kUc+sa7TdObYgXZZqCsfxYJtPl8ozUqENtBEM3k7fFIP2oUFKcjclNN5YftP0zuFIGoegGIlEoJ5s2a2WjtNQIXYzorfSyM6a4OHJC3iBZul77EIgrjMlKsjGIsgQmiz+tYgs5Y9Zo1atEsAOOl2IzWjimgUUFrZk1eBMFHfWYP7qZ8eDxCareppEjzNd6Yj+dbrtNExzLS4WTUcMXCF6LVafhMVcFtB1JCoDBmdy7jb8PHmpaMzwc+UvnWdrh6dS4LGvpIGsxH63gc1d+PYq1H2O0T15ZGW9Pmtayq8jKpzrlonZnU0wN1e+TtzeOlgYyhn6MoVgA6hVrDUTdK6zRV+zZaOWbXN/OZMJ4meSLjZLfLLEz6ucIUgDbj+TARS8YYa23McqZqPsaymJj5g5kUBaFpCP4ApIN+D0WsLpiR6ruRPo2nFDMD/ongILOgNlUuaJ8BTQrQ5+bm0tHRMdVtuU03g2IF2eZnzJ/pWl8h5IJ/913p2rBvHzz4YOiQi8bAzUzUTKqKWp0ps2VEU9yb3g3bo4zhThHNfDsWYDFuZGMwT2Wl1ACfOiWfsQZuEXW8GhuYH4/GGqux5mksmiqwEKs2eaooAiMNC1ojypoza5aaDkDPffJSGMbJW34jZG7LRLR2+vPRNEwTpUhzHmmsbhAYKgqgaSiain7RTNgyMgdvjtUWpGAuHCpP+77Jy9U2enrmkhQ3SHbiAA+uSwRtFe6mWdAyPDrLTSzjZKhXLi+BoojRryoKas063F0rKFhwkWIaUJpehpb62C2LY/RzFMUK1CcAhMbDIaNulI6VbhTgRHJ9i5S33jwWE8k4YwB2YecKMfLCWMqOFA8zmSxo0eZ+qoHkRPh7pHPIrOSLpNWPVt5U03hlxyq4R3rHLKhNlQvaZ0CTAvQPP/wwr7zyCs3NzcybN2+q23SbppJi2VTjgSKQi1rXVvf1yUDXvj44f176VevPRGI+kTaEmWEoCop2HIiLvufMGQnC9mgU0B6tf7EwS/N7utSvBxDbbKE8+OOZlWNlBGMxj8kARqL4ykZqm/7b6JIxFiO72YwuQvnmzA/jDnFQs6SFbniM6cXPiMwHTTQN042Wa6aJHrZRxksIpH+/ftGMEOFFj3UbaCQKaP1OnP8TurvnAnEkpCTR2pMEthk4t9tQXZoU6BQlcp79GCni8jX0U6nYCCooSg6CEXDNB+aHKzmmag3dBPAz7vacrLb/Rve9WcEyniulsd6JZhYada5MnYUjYjvHG5uJZCa7kXGOxt9jaVO0uiPxqrG0+p8ljecuM5G+mzMGTaFV7GbTpAD95s2buXDhAn/913/NV77yFe655x7mzp17+9bY/0gUSTttDGzRb4LTL4KCcHcQE1gHwjdEBDcfeTUz0dN6md4J36MTPBAnyniN7Y9yA9+U1nEDzGOUF0ckX9lobTP7pI/VlpvN6CKVbxrvcc+8scDBVAkjNwLszO2bbODceOXeKI01XmOtA92dIlrO+wiCPTU1dJ+Mx8IwcXEwK66Dq1fSOXGoA+H4NRRtRvVKS4vwquFuBBOYi4jNNvRTlIux+cs019yNuz3HWiNjjeNk972xTKNPdazlTaZe47kiP7h5cxWLBWGsGA79+7HOzVhpImszFvCuf2cqS94bHsPtt/rzN0uPMtm9GGk+zEKjkPfbq6oUB6fhVg/SpAD9li1bABgZGeGVV17hlVdeGfP5PXv2TKaa2/R5kr7QjammzIEt0fL5RvLJn8ihEG1zToTBTTTQKBZf5omCpPFMqbFcwDQJiubFEdaMaG0za8/GastN0CpOtPxJn3lTKYxMJbDTyzLut1jiS242jbdfxmqUHm9VXz/aNB+JV1RUsO15jU//uJzOrjgud6QwCBz7ZAjP9XrUheukgAqjL6+ZwFxEbPZE1sU019zd0PaciKXwRsuMtbybzW/gxhBnLBaEsVxBIvmkT7a/N7qOx9JoG1zogumGia2pN00GnuxeHGs+DDTNZfcgTQrQz5kzZ6rbcZumA0XIEhNTAGQ0JjjWO0aGEUlLF+n9iTC4iQYaxYSCJ0jjaYdjuYBpEhTNiyOmtn0Wh+YUUkB3AtF0RNHW5lT2cyqBXRRr1rjxJTebxtsv0Wi8tR4FTJTtBra+xo5/uxvvQDYWRugdiGdHyw8pLbVRHPC4GdWuG5mLiYK5W2yvTIhuhrAyVWXeTHe5G0FusfTPvGbM/4/lkz4RmsjanOi5anChU+xpaP09aHUOPB7buMXcNBl4sntxvPkI0DSX3YM0KUD/m9/8ZqrbcZumAxmZWfkE0sHFopGf6Pv65/pnE6WJ7sCYUPAUkVkLPsUUbHqMNxLe0vR5+/nr5U5V2VGsWePGl3yG5PGAqn0dpSAHoawa++Hx1voYY5e/aRF5h4bpbrdgj2+B9naOdi9myfERXtwdpb4bmYtbRQ33GdBEXSlioqnaJzdznm4EuUXq30R85gPWqWnhkx6NdBe6wN9C3Yvakom7ZW5MMsi0k4FjFA6nXbuj0KQA/W26RelG3VCiUSQmOBEtShStpJlpT0gxM9Ed+Fnu2M+qLvMYTpdA0Kkk09oZ1cXJrulY6LMaT2H2A/58SVWR9y4UOye+DycwZqo3n745IPLaqHDswvXeQqpb18Ohw+DJ+/zA3H/EfWSiKcXMn3W2lhuhqebNY/nMm+oZM+vSdKEI4zNK2XAr7Y/AfHi0nMDYG5ocLUPXNKYpA/Td3d1YLBZSU1OnqsjbNNV0o24o0SgSE5zIiRBFKxn223BTHWTcCnvr86cb8C++ZXiyae2M6qLpe4/rOGp1przV90Y7Fm08b5nBmxzdEJ6KYQ16djbgeqkHX9od3HdfNk72IOr/SMPqJ2n8pIUiiwfUk1M/trGCuf8EmvwpxcxTPV63iroUYvbRhlt0WUVSNtxKHQnMg6opo5tsdC/S/5/mPP2GAH1dXR179+7lxIkT9Pb2ApCcnMyqVavYtGkThYWFU9LI2zRFdKNuKDezLjNFEC6CN9UpGydX5n82Mo/hBObkVuLJRhqviyqK9EUnDt0radJ8Olplt+rgxUgTwVOTsZioVX6qDy+DtHieehjp1qMW49UeoufaLLzWLlDSp75jsXYo1lzo45UzzsL7POXCG8bMkeKxpqsbyc2kGH20IYZhulUUBbfSfAfmQ/EAZk8no3sRjH2J1jShSQP6f/zHf2Tv3r2MjIwAkJaWBkhNfV1dHYcPH2bz5s185zvfmZqW3uL0k5/8hLi4uLDPSkpKKCkp+ewaMVHz941w9Qjv3ih4EoBQ0qfQqfMG6VZhsDpNYD5vJZ5spPG6qDgdYLjpXXVpuKuHQYtDiAnefh2tsikYvFttaUWj8SwmkYQfpdSK1u6VQXeGwFfFQ2DuNn5+PCCWTCaxljOO0HdDa/PzpsnGY00B3TJ7x9TQcdnzraIoGKsj03RyIkMjgeIMuD95PNDYODUByzeRJgXo33//ff793/+dWbNm8bWvfY0vfvGLzJgxA5CA/t133+Wf//mf2bt3L8uXL+cLX/jClDb6VqRf/OIXQaFn2tBnzCDGdemezC17nyfdKgw2BhqVhXC87DE3s/KbSKOMFuabZ29GJZOg/yhLazzZJtKlZ6IsH1Fmem664ABFkf62moLiuYG2xCD03ZS1+VnR56gRuGX2zkQbeqtqWYx0i0xOREXEdA9YZpKAvrq6msTERH7+85+Tl5cX9l1aWholJSWsXbuWZ555hj/+8Y+3Af10oEjR9lNhOp4AjevSfYts9iD9R2CwAfpc52Iq6zKt83GNUKabZ6cL/UdZWuPJNhEvPTPTdIqfESKUe1uVgm9MksZ4N1lGqmqq1+ZnKRVNpQJmnHbHmvV42tFEGzodlVoTpVtkciI28xYY/0kB+vPnz7NmzZpRYN5IeXl5rFmzhhMnTky6cbdpCilStP1UmI4nQOO6dE9ks08HlV2UDT4dmjZRuqG5mPLKb4BM63xcWWGaMulp2qwpp1Eu9TsbUKv8KKVWRH63zDJRV4dydREsnB7xM2Ftnmg+/vGeM9IUL4IpDQj/LGmcsbvRrMmfG90yDQ1R2P4sy594AdO1zxN1f5qmNClAPzAwQEpKyrjPpaSkMDAwMJkqbtNU0wSi7T8rGrVpJrKLpnGGkVvN0AA3OBdTXvkNkGldKwqgaSiaCp5Vt86E3Ko0wf03yqW+yo/7w0xoP42Y9RIcPSqfWzMLUTE94mfC2xwjH50G/NYcEH7L0DhjNw2G9j8NBfcn/siAfhqcv5OiW/HQjkCTAvR2u51jx47R29sbFdj39vZy7Ngx7Hb7DTXwNk0RmU/OW1UE1WkaZxi5JQ+YW5URm8m0roUAob4q14T62Vmj/tPSDe4/pdQK+FEyTsEZPyxYAIWF0zcPdKx8dBrwW3NA+C1D44zduEM7TXnbNG3WmBTcn6XW0IfGjkyD83dSdEse2qNpUoB+w4YN7Nq1i7/927/l+9//Pjk5OWHfe71eXnrpJa5fv86mTZumpKG36TaFUTQuPg02ZuSI+WnOuG9VRhwLTYM18Z+FIgW5ToREfjdi4yGw28G7VZbnzQ+FZt8Sm2l60jSQKT4fmqa8bZo2a0ySAesmzbyxI7cqr70lD+3RNClA/9hjj3Ho0CE+/vhjtm3bxrJly7BarVgsFnz/f3t3HxxFffhx/JMnIAkJEAFJE0jkSSACgihigajlYSA8iAQBS01pBVrHOkMEq5HSWG2mgkMHK+oUx4iAQQXlQQbBiWIGwWrE8JiniRhF0BTCQ0IOg3f5/UFzPy93IZfcJbd7937NOA6737397n6z3/3s9/Z2f/hBJSUlstls6tu3r+655x5v1xlonAHPWqbouM3aEbvDgH8T/sqtH7le8wP+d7BMmiT96lfK/UuFdlX0lP3HsKY4mGAoBu3bDFEtbwTXn2+Iv/S1Ju1nWhTo27dvr6ysLL3++uv64IMPVFRUpKKiIvv8du3aafz48XrggQfUvn17r1UWMKQmOkVDdNxN8ZeOGD7l8d/6zz/A1cvkYmOl8PCr/wfcYdC+zRDV8kZwNcSGeJkpTtrOWvxiqfDwcC1atEhpaWkqKytTZWWlJCkmJkZ9+vRx60ez8BMm/XrKa5roFP2xvwNc8fhvveFvICTHl8mdPi1ZLFf/D8AzJg2urc6kJ+0WB/p6HTp0UFJSkjfqArMy6ddTXkOnCHifq5NqKx5rgT4ugQBk0uAK1zwO9EDAB1o6RaBttOKxFujjEt7ExZFB0TB+za1Av2XLFo9WMnPmTI+Wh8ERaNFcnFhgMIE+LuFNXBy1AVd9aFP9Kg3j19wK9OvWrVNQUJBbH1hXVydJDuUJ9H6mDcNYc99MR040CU4sMBjGJbyHi6M24KoPbapfpWH8mluBfs6cOW4Hekk6d+6cPvzwQ9XW1jZrOZhEG4axJt9M57uqwROcWAC/xcVRG3DVhzbVr9Iwfs2tQH///fe79WEXL17Uli1btHfvXtXW1qpDhw6aPHmyRxX0F+np6QoODnaYlpKSopSUFB/VyAPeCmNuDKe7fDNdG1QNzdTcr0Y4sQDwhkD9WtZFH5qvEcrVCF7EFqC88qPYqqoqvfPOO9q5c6d+/PFHtWvXTjNmzNC9996rTp06eWMVprdq1SpFRET4uhot07BTaGkYa/g5bgynu3wz3TWQE32Er0YA+AJ9j53TrmDfBBSPAn11dbU9yFssFrVr107Tpk1TamoqQd6P5K87ptydnfWrk8c0wpNOoWHnwnC6/2jYlowMAWgLnEfsnHYF+yagtCjQV1dXa+vWrXrvvfdksVgUGhqqadOmaebMmerSpYu36wgfy9WvtEs2ScEte517vYadC8Pp/qNhWzIyBKAtcB6xc9oV7JuA0qxAf+nSJW3dulU7duywB/kpU6YoNTWVIO/HfpUWL8V74SLfC51Lc596Ax9hZAgIHEb6Rs5IdTE4dpV/cSvQ19TUaNu2bdq2bZtqamoUFhamyZMna9asWYqJiWntOsLHmsrhbdkpNPepN2gbTn8DDf9oGhTgRAL4ESN9I2ekuhgcu8q/uBXof//736umpkahoaFKSUkhyMNBW3YKzX3qjU8EYFpt8m+gQQFOJHBLAB5LjfHprmhq5Ub6Rs5IdTGYhs3IrvIvbgX6S5cuKSgoSFarVXv27NGePXvcXkFQUJA2b97c4grC+NqyU3B66o0RT/gBmFab/BtoUIATCdwSgMdSY3y6K5pauZHu1TZSXXysqQfLsav8i9v30NfV1amurk42m6016wMT8mmnYMQTfgA+8aWJO2ycCnAigVu48rPz6a6gHUyJB8sFFrcC/fbt21u7HkDLGLGH4okvgbjJaA1c+dn5dFfQDqbEg+UCi1deLNVaLBaLNmzYoH379qmqqkrx8fFKTU3V2LFjm1y2pKREGzZsUFFRkerq6tSvXz/NmzdPgwY5/5CyOWXLysqUk5Oj0tJSVVdXq1u3bkpOTtaMGTPUoUMHr2w33Of0ZjwjMuJFRysLwE0GAkcAfOvoDwjwgcXQgT4rK0ulpaVKS0tTXFycPv74Y61cuVI2m0133nlno8uVlJTo8ccfV//+/bV48WJJ0pYtW7Rs2TJlZWVpwIABLSr7zTff6LHHHlNcXJwefPBBRUdH69ixY9q0aZPKysq0bNmy1tkRBmOkvtwUI8EB2KsG4CYDrYuOF8A1GDbQ5+fnq6CgQEuWLFFycrIkaciQIaqoqFB2drbGjBmjkJAQl8tu3LhRkZGRyszMtI+aDx06VAsWLNCrr76qFStWtKjsxx9/rNraWj3xxBOKjY21l62srNTu3btVXV2tjh07tsr+MBIj9eWMBAMICD7seJ2uJRp0vEa61gAClWED/YEDBxQeHq7Ro0c7TB83bpyee+45lZSUaODAgS6XLSws1IgRIxxugYmIiFBSUpIOHDigyspK+2M3m1M2NDTUPv/nOnbsqODgYPt8f2ekEM1IsDlwwgc85MOO1+laokHHa6RBHiBQGTaBlpeXKz4+3mkUPjEx0T6/sUB/5coVhYWFOU2vn/b111/bQ3pzyt59993atm2bXnrpJf32t79VdHS0jh49qvfff1+TJ0++5j30NTU1TWzx/6/XVX2MhBCN5uKED3jIhx1vU9cSRhrkAQKVYQN9VVWVevTo4TQ9KirKPr8xvXr1UnFxsWw2m4KDgyVJVqtVJSUlTss2p+z111+vlStXKisrSwsWLLBPnzp1qsO/XZk/f/4159ebO3eu7r//frfKAmbBCR8wr6auJRjkAXzPsIHeE1OmTNHzzz+vl19+WbNnz5bNZlNOTo4qKiokyR7cm1v2hx9+0NNPP63OnTvr8ccfV6dOnVRSUqI333xTly9f1iOPPNJonbKzs51u1XHF6KPzQEtwwgcAoPUYNtBHRUW5HIWvn1Y/Uu/K+PHjdeHCBb311lva9b/v+QcMGKAZM2Zoy5Yt9ltomlt23bp1slgsev755+2319x0002Kjo7W6tWrddddd2nw4MEu61GBClwAABP7SURBVBQREeFWoAcAAACaw7CBPjExUXl5ebJarQ730ZeXl0uSEhISrrl8amqqpk+frlOnTik8PFzdu3fXCy+8oA4dOqhv374tKvvVV1+pZ8+eTvfK9+vXT9LVx1o2FugBAACA1hDcdBHfuP3222WxWLR//36H6bm5uYqJiVH//v2b/IywsDAlJCSoe/fuqqio0L59+zRhwgS1b9++RWWvu+46ffPNN7JYLA7LFhUV2ecDAODP8vOlZ5+9+n8AxmDYEfoRI0bo5ptv1osvvqiamhrFxsYqLy9PBw8e1KOPPmoftT9y5IiWLVumOXPmaO7cuZKujuLv379fffv2VVhYmE6cOKHNmzcrNjZW8+bNc1hPc8pOmzZNf//73/WXv/xF06dPV3R0tIqLi7V582b17NlTt9xyS9vsHAAAfISnVgHGY9hAL0kZGRlav369Nm7cqKqqKsXHx2vp0qUaO3asQzmbzaa6ujr7v0NDQ3Xo0CHt2LFDFotF3bp106RJk5Samup0u0xzyo4cOVLPPPOMNm/erLVr1+rSpUvq1q2bJk6cqFmzZvGDVgCA3+OpVYDxBNX9PAnD62pqajR79my9+eab/CgWAAAAbnM3Rxr2HnoAAAAATSPQAwAAACZGoAcAAABMjEAPAAAAmBiBHgAAADAxAj0AAABgYgR6AAAAwMQM/WIpf5Kenq7gYMfrp5SUFKWkpPioRgAAAPAHBPo2smrVKl4sBQAAAK/jlhsAAADAxAj0AAAAgIkR6AEAAAATI9ADAAAAJkagBwAAAEyMQA8AAACYGIEeAAAAMDECPQAAAGBiBHoAAADAxAj0AAAAgIkR6AEAAAATI9ADAAAAJkagBwAAAEws1NcVCBTp6ekKDna8fkpJSVFKSoqPagQAAAB/QKBvI6tWrVJERISvqwEAAAA/wy03AAAAgIkR6AEAAAATI9ADAAAAJkagBwAAAEyMQA8AAACYGIEeAAAAMDECPQAAAGBiBHoAAADAxAj0AAAAgIkR6AEAAAATI9ADAAAAJkagBwAAAEyMQA8AAACYWKivKxAo0tPTFRzseP2UkpKilJQUH9UIAAAA/oBA30ZWrVqliIgIX1cDAAAAfoZbbgAAAAATI9ADAAAAJkagBwAAAEyMQA+/cOXKFb3xxhu6cuWKr6uCVkD7+i/a1n/Rtv6N9jUWAj38wpUrV5STk0PH4qdoX/9F2/ov2ta/0b7GQqAHAAAATIxADwAAAJgYgR4AAAAwMUMHeovForVr1yotLU333nuvHnnkEeXl5bm1bElJiZYvX6777rtPs2bNUkZGho4fP+5xWUk6duyYMjMzNWfOHM2cOVMLFy7Upk2brlmf3bt3u1Vvb9q5c2ebr9OX6/WVQNvPgdS+gbaPA6ltpcDaz7Qt6/UngXQMuZsfDR3os7KylJubqzlz5igzM1P9+vXTypUrtXfv3msuV1JSoscff1y1tbVavHix0tPTVVtbq2XLlqmoqKjFZSVp7969ysjIUGRkpNLT0/XXv/5VM2fOVF1d3TXrRKD3X4G2nwOpfQNtHwdS20qBtZ9pW9brTwLpGHI3P4a2cj1aLD8/XwUFBVqyZImSk5MlSUOGDFFFRYWys7M1ZswYhYSEuFx248aNioyMVGZmpjp06CBJGjp0qBYsWKBXX31VK1asaFHZs2fPas2aNZo4caIeeugh+/QhQ4Z4ffsBAAAAdxh2hP7AgQMKDw/X6NGjHaaPGzdOlZWVKikpaXTZwsJCDR482B7QJSkiIkJJSUkqLCxUZWVli8ru2bNHly9fVmpqqjc2EQAAAPCYYUfoy8vLFR8f7zQKn5iYaJ8/cOBAl8teuXJFYWFhTtPrp3399deKiYlpdtmjR48qKipKJ0+e1DPPPKPy8nJFRUVp1KhRmj9/viIiIhrdHpvNppqamia2+up6XdUHAAAAcMWwgb6qqko9evRwmh4VFWWf35hevXqpuLhYNptNwcFXv4SwWq32Uf2fL9ucsmfPntWPP/6of/zjH5o1a5YWLFig0tJSbdy4UeXl5Xr22WcVFBTkUJf6e+tPnz6t2bNnN7ndqampmjVrVpPl3OHuRYS3+WK99esLlO0NtPX6qn0DaR/7ar0cu/67TtrWv9cbaO3ry7aV1ORvNYPqmirhI4sWLVKPHj301FNPOUyvrKxUWlqaHnjggUaD7wcffKDnn39ekyZN0uzZs2Wz2ZSTk6Pc3FzZbDY99thjGjNmTLPLLlq0SKdOnXJa9/bt27V27Vo9/fTTuvnmmx3qcubMGc2fP9+buwYAAAABJDs7W127dm10vmFH6KOiolyOwtdPqx+pd2X8+PG6cOGC3nrrLe3atUuSNGDAAM2YMUNbtmyx30LT3LL16xw+fLjD+m655RatXbtWZWVlToE+JiZG2dnZCg8Pdxq9BwAAABpTV1cni8XikEddMWygT0xMVF5enqxWq8N99OXl5ZKkhISEay6fmpqq6dOn69SpUwoPD1f37t31wgsvqEOHDurbt2+LyiYmJqq4uNhpXfVfcrgK7MHBwde8ogIAAAAaExkZ2WQZwz7l5vbbb5fFYtH+/fsdpufm5iomJkb9+/dv8jPCwsKUkJCg7t27q6KiQvv27dOECRPUvn37FpW94447JElffPGFw7L5+fmSpBtvvLHZ2wkAAAB4wrAj9CNGjNDNN9+sF198UTU1NYqNjVVeXp4OHjyoRx991D5qf+TIES1btkxz5szR3LlzJV0dxd+/f7/69u2rsLAwnThxQps3b1ZsbKzmzZvnsJ7mlB0+fLhuu+02bdq0SXV1dbrxxhtVWlqqTZs26dZbb1VSUlLb7BwAAADgfwwb6CUpIyND69ev18aNG1VVVaX4+HgtXbpUY8eOdShns9kcfv0bGhqqQ4cOaceOHbJYLOrWrZsmTZqk1NRUh+fNN7esJD322GPKycnR+++/r5ycHMXExGj69On2iwkAAACgLRn2KTfAtVgsFm3YsEH79u2zX+ylpqY6Xey5Y/fu3fbfTLz99tutUFs0lyfte+jQIe3du1eFhYU6c+aMIiMj1a9fP82ZM8fp9zNoPZ60oTePb7SOlrYRx6fxeev449zatgw9Qg80JisrS6WlpUpLS1NcXJw+/vhjrVy5UjabTXfeeafbn3P27FllZ2crJibGJ8+XhWuetO+uXbtUVVWladOmqWfPnrp48aLeffddLVmyRE899ZSGDh3aNhsR4DxpQ28d32g9LW0jjk/j88bxx7m17RHoYTr5+fkqKCjQkiVLlJycLEkaMmSIKioqlJ2drTFjxji9Ybgxa9asUVJSkjp27Oj0A2z4hqft+4c//EGdO3d2mDZ8+HAtXLhQb7/9NoGhDXjSht48vtE6PGkjjk9j89bxx7m17Rn2KTdAYw4cOKDw8HCNHj3aYfq4ceNUWVlpf8tvUz766CMdPXpUf/zjH1ujmmghT9u3YViQpPDwcPXq1Utnzpzxal3hmidt6K3jG63Hkzbi+DQ2bxx/nFt9g0AP0ykvL1d8fLzTKEFiYqJ9flPOnz+vtWvXKi0tjfcEGIw32rehS5cuqaysTL169fJGFdEET9qwNdof3uXtNuL4NA5P25Zzq+8Q6GE6VVVVLt8UXD/N1RuGG3rppZcUHx+vyZMne71+8Iw32rehl19+WZcvX9Z9993ncf3QNE/asDXaH97l7Tbi+DQOT9uWc6vvcA89fOrIkSPKyMhwq+zq1avVu3dvj9f5ySef6LPPPtPq1atdvt0X3uOL9m1ow4YN2rt3rxYtWsRTNACD4fj0H5xbfYtAD5+Ki4vTww8/7FbZbt26Sbo6UuBqlKB+mqvRhXoWi0Uvv/yypkyZopiYGFVXV0uSfvrpJ0lSdXW1QkNDXb6DAM3X1u3bUE5Ojt5880395je/0ZQpU9xeDp7xpA292f5oHd5qI45P42lp23Ju9T0CPXwqJiZGEydObNYyiYmJysvLk9VqdbjPr/7evoSEhEaXvXjxos6fP6+tW7dq69atTvPnzp2rkSNHatmyZc2qE1xr6/b9uZycHL3xxhu6//77+Sq/jXnSht5qf7Qeb7QRx6cxtbRtObf6HoEepnP77bdr9+7d2r9/v8aMGWOfnpubq5iYGPXv37/RZbt06aKsrCyn6Zs3b9bRo0eVmZmp6OjoVqk33ONJ+9bbtGmT3njjDc2ePZu3OPuAJ23ojfZH6/K0jTg+jaulbcu51fdCMjMzM31dCaA5fvGLX6iwsFC7d+9WVFSUampq9Pbbb2vfvn166KGHHO7DPnLkiBYuXChJGjx4sEJCQnT99dc7/VdQUKCTJ0/q4YcfdvlYNbQdT9pXkt599129/vrrGj58uCZOnKgzZ844/MeTF1qfu23oqv2a0/7wDU/al+PT2FratpxbfY8RephSRkaG1q9fr40bN9pfTb106VKXr6a22Wyqq6vzQS3RUp6072effSZJOnjwoA4ePOhUfseOHa1Xcdi524aujs/mtD98o6Xty/FpfJ4cu/CdoDpaAwAAADAtnkMPAAAAmBiBHgAAADAxAj0AAABgYgR6AAAAwMQI9AAAAICJEegBAAAAEyPQAwAAACZGoAcAAABMjDfFAgDspk6d6vDvoKAgRUREKCEhQXfffbcmTJigoKAg+/x//vOf+vDDD5WVlaXBgwe3dXUBACLQAwBcuPvuuyVdfb37999/r8LCQh0/flyHDx/W0qVLfVw7AMDPEegBAE4WL17s8O8vv/xSTz31lPLy8pScnKzbbrvNRzUDADTEPfQAgCYNGzZMd911lyTp008/9XFtAAA/xwg9AMAtvXv3liSdOXPG5fyjR48qJydHpaWlkqSkpCTNnz9fvXr1cihXXV2tjz76SJ9//rlOnjypc+fOKTw8XP369dM999yjYcOGOX325cuX9d577ykvL08VFRWyWq3q3Lmz+vTpowkTJmj48OEO5S0Wi7Zu3apPPvlEp0+fVkhIiHr37q3p06dr1KhR3tgdAGAYBHoAgFssFoskKSwszGneZ599pu3btyshIUHDhg1TeXm58vPzVVxcrDVr1qhLly72ssXFxfr3v/+trl27Ki4uTgMGDNB///tfffnll/ryyy/1pz/9SePHj7eXt1qtWr58uQoLC9W1a1fddNNNCg0N1dmzZ/X555+rffv2DoH+3LlzevLJJ/Xtt9/quuuu07Bhw/Tjjz+qqKhIWVlZeuCBBzRr1qxW3FMA0LYI9ACAJtXV1enzzz+XJCUmJjrN3759u9LT05WcnCzpaghfsWKF9u/fr507d2revHn2snFxcVqxYoUGDhzo8BllZWV68skn9corr2j06NEKDw+XJB0/flyFhYUaOXKkMjIyFBz8/3eLXrp0SadPn3b4nNWrV+vbb7/VzJkzNW/ePIWGXj3Vff/991q+fLk2bNigESNG6IYbbvB8xwCAAXAPPQCgUVarVadOndLq1atVVFSksLAwjRs3zqnc2LFj7WFekkJCQuyj4MeOHXMo26NHD6cwL0l9+vRRSkqKampqdOTIEfv08+fPS5IGDx7sEOYlKTIyUn379rX/+6uvvtIXX3yhgQMHKi0tzR7m69f7u9/9TjabTXv27GnObgAAQ2OEHgDgpOHz6CUpPDxcixcvVmxsrNM8V/e9x8XFSbp6C0xDVqtVhw4dUlFRkc6dO6fa2lpJso+2nzp1yl62d+/eCg4O1jvvvKMuXbpoxIgRioiIcFnvgoICSdLIkSMdnpdfb9CgQZJkv88fAPwBgR4A4KT+OfTBwcH2F0vdcccd6tixo8vyXbt2dZpWf8vMlStXHKafOXNGf/vb33TixIlG119/v7509cJg/vz5WrdunVauXKng4GAlJCRo6NChGjdunBISEuxlf/jhB0nSa6+9ptdee63Rz7948WKj8wDAbAj0AAAnDZ9D3xRXo+GN+de//qUTJ05o1KhRSk1NVVxcnMLDwxUcHKz3339fa9asUV1dncMy99xzj375y1/q008/VUFBgY4dO6atW7dq+/btWrhwoVJSUiRdfRGWdPUJO9dff32jdYiOjm7W9gGAkRHoAQBt5vLlyyooKFDnzp315z//WSEhIQ7zv//++0aX7datm6ZOnaqpU6fKarUqLy9Pq1ev1iuvvKLk5GR17NjR/k3BHXfcoWnTprXqtgCAUfCjWABAm7l06ZJsNptiYmKcwrzVanX7pVUhISG666671K9fP/3000/2e+6HDh0qSfrPf/7j3YoDgIER6AEAbaZz586KjIxUeXm5jh8/bp9utVqVnZ2t7777zmmZw4cPq6CgwH47Tb2Kigp9++23CgoK0nXXXSdJGjBggIYOHarDhw9r7dq1DvfiS1dvyTl48KDTk3cAwMy45QYA0GZCQkJ07733av369XriiSc0ZMgQRUVFqbi4WOfPn1dKSop27tzpsMyJEyf0yiuvqFOnTurTp4+io6N14cIFHTt2TLW1tZo2bZo90EvSo48+quXLl2v79u366KOPdMMNN6hTp046e/asvvvuO124cEEPPvigkpKS2nrzAaBVEOgBAG3qvvvuU9euXbVt2zYVFhaqXbt2GjRokH7961+rrKzMqfytt96qqqoqHT58WF9//bUuXryoTp06adCgQZo8ebJGjRrlUL5Lly567rnntGvXLu3bt0+lpaX66aef1KVLF/Xu3VsjR47U6NGj22pzAaDVBdU1fJQAAAAAANPgHnoAAADAxAj0AAAAgIkR6AEAAAATI9ADAAAAJkagBwAAAEyMQA8AAACYGIEeAAAAMDECPQAAAGBiBHoAAADAxAj0AAAAgIkR6AEAAAATI9ADAAAAJvZ/yWIVHxFdKhYAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = lc.fold(period=3.0712).scatter(color='red', alpha=0.5, label='With Motion')\n", "ax = corr_lc.fold(period=3.0712).scatter(ax=ax, color='blue', alpha=0.5, label='Motion Corrected');" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.6" } }, "nbformat": 4, "nbformat_minor": 2 }