{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# How to combine lightcurves from different Kepler quarters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Kepler mission took 17 quarters of continuous observations on the same targets. For applications such as finding long period planets or asteroseismology it is useful to be able to turn these quarters into one long light curve. We can do this using lightkurve's `append` function. The append function is called by doing\n", "\n", " stitched_lc = lc1.append(lc2)\n", " \n", "It works in the same way as appending a list in python.\n", "\n", "Below is an example of how to stitch together all the quarters for the exoplanet target Kepler-8b. (*Note: We'll use the jupyter notebook magic command `%%capture` to supress the output for the cell so that it doesn't print a long download message*)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from lightkurve import KeplerLightCurveFile\n", "target = 'Kepler-8b'" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%%capture\n", "lc = KeplerLightCurveFile.from_archive(target, quarter=1).PDCSAP_FLUX\n", "for q in range(2,17):\n", " lc = lc.append(KeplerLightCurveFile.from_archive(target, quarter=q).PDCSAP_FLUX)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Above we have created a `KeplerLightCurve` object from the first quarter of the data, choosing to use the PDCSAP_FLUX. Then we have looped through all the quarters, appending each new light curve to the fist one. We can plot this new `KeplerLightCurve` using the `plot` function (and all the other functions from previous tutorials will work too!)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAvMAAAFwCAYAAAA1yfQ8AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAPYQAAD2EBqD+naQAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJzs3X18U/XdP/5XQm9CBxEKQpROmRsK2TRDCqMO2Sy2dWtBp/ECvKlhOq4t1zWtgKVfggpqtda7OrfonJNOVMboUCdzaysdKFrFzj4qrOBdVcRdbdXC0pImvUl+f/T3OZ5zcnLTNKVp+no+Hjxocz7nJjTA+7zP+/P+6Px+vx9ERERERDTq6Ef6AoiIiIiIKDoM5omIiIiIRikG80REREREoxSDeSIiIiKiUYrBPBERERHRKMVgnoiIiIholGIwT0REREQ0SjGYJyIiIiIapZJG+gJGK5/Ph46ODowfPx46nW6kL4eIiIiIRgG/34/u7m6kp6dDrx96Xp3BfJQ6OjqwatWqkb4MIiIiIhqFtmzZgqlTpw75OAzmozR+/HgAAz+ItLS0Eb4aIiIiIhoN3G43Vq1aJcWSQ8VgPkqitGbjxo0Bj0jy8/ORn58/EpdFRERERKNArMq0GcwP0YMPPsjMPBERERGNCHazISIiIiIapRjMExERERGNUiyzISIiojHL7Xbj2LFj8Pl8I30plAD0ej0mT558UkuwGcwTERHRmOPz+bBjxw688cYbI30plIAWLlyIK6+8MiZ95MNhME9ERERjjgjkly5dirPOOgvjxo0b6UuiBNDf34+Wlha8+OKLAIDly5cP+zkZzBMREdGY4na7pUA+Ozt7pC+HEszMmTMBAC+++CKWLl067CU3nABLREREY8qxY8cAAGedddYIXwklKvHZEp+14cRgnoiIiMYUMdmVpTU0XMRn62RMrGYwT0REREQ0SjGYJyIiIiIapTgBloiIiGgUevbZZ/Hcc89hx44dite3bNmC5557Dna7HZdccknQcS6XCzt37sQbb7yB9vZ2JCUlYebMmfjRj36ExYsXhy1DeuONN1BVVYWPPvoIKSkp+Na3voXi4mJMnDgRAOD3+7Fz50689NJL6OjowOmnn44VK1bgwgsvlI7R0dGBF154AY2NjWhtbcX48eMxZ84cFBYW4vTTT5fGvffee/j73/+OgwcP4ssvv8SUKVPwve99DytXrlRMMN23bx/27NmDDz/8EJ2dnTjttNPwox/9CJdccknQNpEffPAB1q5di5SUlIA/I7nHH38cL774IvLz8/Hzn/885J/NycRgnoiIiChBPPXUU9i5cyd+8Ytf4JJLLgk6rrW1FRs2bEBvby8uu+wyzJo1C319fTh48CB++9vfwufzYcmSJUH3f/nll+F0OvGTn/wEhYWF8Hg8OHDgAPr6+qQxO3fuxNatW7F8+XLMnj0bb775Ju677z6kpqZiwYIFAAYC6ddffx0XX3wxZs+eja6uLuzYsQNr167FI488gqlTpwIAXn31VRw9ehQ/+clPkJGRgc8++wzPPPMMDh06hPLycilQf/7553Hqqadi1apVmDRpEt555x08/vjjaG1txU9/+tOA9+H3+/HYY4/BaDTC4/EEfb8ff/wxXn755ZO6GFSkGMwP0Zo1awLu9PLz85Gfnz9CV0RERERj0dNPP40dO3bg5z//OX784x+HHHv//fejt7cXDz74IE499VTp9fPPPx8FBQX48ssvg+7rcrnw+OOPY/Xq1YobBhGgA0Bvby+2b9+OpUuXYuXKlQCAuXPnoq2tDVu3bpXGms1mPPbYY4qnAN/5zndgs9lQW1sr7Wu1WnHKKadIY84991xMnjwZd911F/71r3/h3HPPBQDceuutinHnnXcePB4P/vrXv+Laa69FcnKy4r28/PLLcLlcyMnJkXrDa3nsscdw6aWXoq6uLuiYkcJgfogefPDBuLxLG+uqqqpQWVkJm80Gq9U60pdDREQ0rLZt24bt27fjZz/7WdiE4r/+9S+8++67+NnPfqYI5IX09HSkp6cH3X/fvn0AEDJz39raiu7ubsydO1fx+rx58/Db3/4W7e3tmDZtGiZMmBCw7ymnnIKpU6cqbijkAbog2j92dHSEHdfT04POzk7F++rq6sIf/vAH3Hjjjfjggw+Cvpc9e/agra0NmzZtistgnhNgKSFVVlaitbUVlZWVI30pRESU4Px+P/bt24eGhoYROf+f/vQnPPvss7j++uuxbNmysOMPHjwIAMjMzIzqfO+++y5mzJiB3bt3Y9WqVbjssstQVFSEpqYmaUxPTw8ABGTCxfdHjx4NevzPP/8c7e3t+PrXvx7yOv71r38BQNhxzc3NmDhxYkCg//TTT+Ob3/ym4omCmtvtxpYtW/DTn/4UBoMh5HlGCoN5Skg2mw0mkwk2m22kL4WIiEYpn88Hr9cbdtyePXtQVFSEn//851KgfLJ4PB5s3boVOTk5uOyyyyLaR2S8tbLykTh27Bg+++wzbNu2Dddeey1uu+02nHLKKdi8eTNaW1sBAKeddhr0ej3ee+89xb7vvvsuAKCzszPo8R9//HFMmDAhZOa/q6sLW7duhcViCbn41/vvv4+XX34Zl156qaKUp6WlBbW1tbjhhhtCvtdt27bhtNNOU0zajTcM5ikhWa1W7Nq1iyU2REQUlb6+Plx33XW48MILsXv37pBj5XPngnVMEdxuN1566SV89tlnMbnOlJQUfPvb38bevXvR3Nwc0T5+v39I5/T7/eju7sYvf/lLZGdn4/zzz8eGDRvwta99DTt37gQApKWl4Yc//CH+/Oc/o6GhAV1dXairq8PevXsBBP9z2rFjB/bv34+bbrpJswQHAPr7+/HAAw/A6/XixhtvDHqdx44dwz333IOzzz4bV1xxheL6H3vsMfz4xz8OmdU/cuQI/vrXv2L16tVh/0xGEoN5IiIiIpXjx4/j0KFD8Pl8ePPNN0OO/cEPfgCn04knn3wSZrM55Njy8nLcdtttsNlsMVkdVK/X47bbbkNGRgbuuOMOfPTRR2H3ER1iPv/886jOKYJsMekUAFJTU3HOOefgyJEj0ms33HADZs2ahc2bN2PlypX4/e9/j2uuuQYAMGnSpIDj7t69G1u3bsXq1atDlr785je/wcGDB3Hbbbdh2rRpmmNOnDiBTZs2ITU1FRs3bkRS0lfTRF999VV8+umnWLp0Kbq6utDV1SWVBcm//v3vf4/vf//7mDZtmjTO5/Ohr69P+joecAIsERERkcrUqVOxdu1avPPOOygsLAw7PlTwKafT6QCEz+APRlpaGjZv3oz169fj9ttvx7333ovTTjst6HgRhP/zn/9U9HKP1Ne//nXpfajJ39fEiROxefNmfPnll+jq6sLpp5+ON998E0lJSfjmN7+p2O/NN9/EI488AqvVGnIC75YtW1BXV4eNGzfi7LPP1hzT09ODO++8E8ePH8d9990Ho9Go2H706FF0dXXh+uuvD9h35cqVuOKKK2Cz2XD06FG0t7djz549ijHV1dWorq6G0+kMW69/MjCYJyIiItKwcuVKqTVirKxfvx5ZWVk499xzYxrQT5o0CXfeeSeKi4tx6623ory8PGhHGrPZjHPOOQc7duzABRdcgClTpii2Hzt2DF988QVmzZqluf/8+fOxbds2NDU1STcxHo8Hhw8fxg9+8IOA8VOmTMGUKVPQ39+Pv/3tb7jwwgsVnQAPHDiA8vJyZGdnh7xx+vOf/4znnnsON910U9DJu/39/bj33nvx8ccf45577tHM3C9ZskTxVAEYaFG5b98+bNq0SZpLcMstt6C3t1cxrry8HLNnz8ayZcuinnMQa3EbzLvdbmzfvh0tLS1oaWmBy+XCypUrcdVVV0W0f3d3N55++mns27cPnZ2dyMjIgNVqxeLFi0PuV11djV//+tcwGAwhVwGjk4MtJomIKJEYDAbk5uYOy7GnTZuGO+64AyUlJbj99ttxzz33BK07X7duHTZs2ICbb74Zl112Gb71rW+hr68Pzc3NeOmll3D99dcHDeZnzZqF733ve3jkkUdw3XXXYdKkSXjhhRfg9Xpx+eWXS+P27NkDr9eL008/HV9++SX+/ve/o62tDWvXrpXGfPrppygtLcX06dNx8cUX4/Dhw9K2tLQ0nHHGGdKxKisrsXjxYsyYMUMxburUqVLp0KOPPor9+/dj1apV8Hq9inFnnHEG0tLSMH36dEyfPl3xng4cOAC9Xq8I8mfPnh3w3lNSUjBlypSAm4GRFLfBfGdnJ6qrqzFz5kwsXLgQNTU1g9r/7rvvxvvvv4/rrrsOM2bMwN69e3HffffB5/Phhz/8oeY+X375JbZs2YL09HS43e4YvAuKlgji3W43XC4XKisrGcwTERGFccYZZ2DTpk3YuHEjNm/ejDvvvFNznMlkwkMPPYSdO3eiuroaTz/9NJKSkjBz5kxce+21mhl2ubVr16KyshJbtmxBd3c3zj77bNx1112KLL/f78fzzz+PtrY2GAwGZGZmYt26dYonBu+++y5OnDiBEydOYP369YpzfOc738E999wDAGhsbAQAvPLKK3jllVcU4+TJXjFuy5YtAdd89913x1UQHis6/1CnNA8TcVk6nQ7/+c9/cM0110ScmW9oaMDmzZuxbt06xYfx1ltvxZEjR/Dkk08q2hMJd9xxB3Q6HSZMmIDXX389ZGbe7XZj+fLl2L59OxeNigF1Br6goACtra0wGo1IS0uDxWJBU1OT1GpSna2vqqqC0+lET08PUlJSYLfbpW0OhwM1NTVITU1FUVGR5v5ERDR2fPrpp3jwwQexZs2auKh5psQT6jMW6xgybjPzwSZWRKK+vh7jx4/HokWLFK9ffPHFuP/++/Hee+9hzpw5im3/+Mc/cPDgQTidTmzdujXqc1N0Kioq4PF4UFZWhrKyMul1l8sFl8sl9a2Vb1OPFbSOI3893P5CcnIy1q5dy4CfiIiI4lZCtqb85JNPkJGREZB9nzlzprRd7vjx4/jd736H6667Tqq5ipTb7Y7ol3oCBSl5PJ6RvoQAvb29KCsri3qFPCIiIqLhFreZ+aHo7OyEyWQKeH3ixInSdrlHH30UGRkZ+PGPfzzoc61atSqicYOZvDvWOByOkb4EIiIiolEpIYP5wXjttdewf/9+PPzww1GV9mzZsiWieqfk5ORoLm9MqK6uHulLICIiIhqVEjKYnzhxYkD2HfgqIy8y9N3d3XjsscdQUFCA9PR0dHV1ARhYwhkYWAUsKSkJBoMh6LnS0tI4AZaIiGgUEf3d+/v7R/hKKFGJz1Ys1xIIJiGD+ZkzZ+KVV15Bf3+/om5e1MqfeeaZAAYmVx4/fhzPP/88nn/++YDjrFy5Et/73vewcePGk3PhY5TJZJImuMaCTqdDLJs0hVuam4iIRpfJkycDAFpaWqT5dESx1NLSAuCrz9pwSshgfuHChaiursbrr7+OCy+8UHp99+7dSE9Pl5b/nTx5Mu6+++6A/auqqnDw4EFs2rQpYAlgir1du3YFtKJUt42sqqpCRUUFvF4vcnNzUVpaKrWztFgsqK+vBwBFS0qxn7xfvclkwq5du8Luy8WqiIgSV1paGhYuXIgXX3wRAHDWWWdptqwmGqz+/n60tLTgxRdfxMKFC09K9UZcB/MNDQ3wer3o7u4GABw5cgSvvfYaAGDevHkwGAw4cOAANm7ciBUrVkhLLmdmZuK73/0unE4n3G43TjvtNLzyyit4++23sXbtWukvbEpKiubiAS+//HLAKmA0vGw2m2bvePFaZWUlPB4PTCaTIpDXCrbV+4mbBJPJBJvNBofDgdraWuTk5CiOpd53165dJ/uPgYiITpIrr7wSAKSAniiWFi5cKH3GhlvcLhoFANdffz3a29s1tz3xxBOYPn06Dhw4gA0bNgR0i+nu7sbWrVuxb98+dHZ2IiMjA1deeSUWL14c9rwPPfQQF42KA9nZ2XC5XDAajbDb7ZqLSolMe6T7AcCCBQvg8/mg1+uxf/9+xbEABD0uERElHrfbjWPHjsHn8430pVAC0Ov1mDx5csjYcMwsGgUAv//978OOOffcczXvqsePH4/Vq1dj9erVgz7vzTffjJtvvnnQ+9HwsVqtigy8xWJBe3s7LBbLoPYDgJycHCkzDyifCjQ2NkZ0XCIiSgxsZEGjXUIuGkWjT1VVFQoKClBVVSW9ZrfbYTKZYLfbA8Y3NTXB5/OhqakpYJvWfvLjl5aWYv/+/SgtLQUwEPDv2rULVqs15HGJiIiI4k1cl9nEM5bZxFaoshlgIBh3Op0AIAXpIpsu/zrYZNVQx5fXyUdyLCIiIqJojakyGxo75KUuWiorK+FyuaSvRSYd+CpQLy8vBwDNbjaibEbr+GKSrPq4scLOOERERDRcWGZDcUGUugAIKLcBBoJwo9EIo9EYEJDbbDbo9Xr4fD6pK40gAvWmpibNQL2qqgputzvguFplP+r95NsdDgcWLFiAwsLCgP2cTidaW1ulJwvBjl1QUIDMzEwsWLBA+rqwsFAxXpzH4XCE/gMlIiKiMYFlNlFimc3wEFl2vV6P4uJizUy2VqY7WPY7XFY8WPmNuu/98ePH4fF4NK/ZbDajubl5qG990IxGI+rq6k76eYmIiCh6sY4hmZmnuBIqyy7Iy2IErcx+uF70BQUFsFgsUv959XWYTCa4XC60trYGDeQBjEggDwysYJydnT0i5yYiIqL4wMx8lMRd1YwZM6DXK++J8vPzkZ+fP0JXNvqFm5AaanukPeO1MvLqxaSAgQXI4l1DQ8NIXwIRERFFKNaZeQbzUWKZzckRrsuNenuknWm0svbqxaQABvNEREQUW+xmQwlPHmiHWhwq2ORVQWvBqFDb1ItJEREREcU71sxT3JHXxIdaxEm0q0xLS5MCc616+kjJF5MSNfWiXEfIy8tDSUkJDAZDwP5Go1H62mAwoKGhAXl5eUHHRMNgMCAvL08q7VJfHxEREY0tDOYp7ojJpzabTfG1EGryqnx8sBaQVVVVyM7ORnZ2dtDWk+KmAABKSkpgMplQUlKCuXPnorKyEkVFRSgpKZHaZZaUlCgelU2aNAnAwA2CfP+6ujo0NDRIv+TbRGAujmk0GqXXzGYzGhoasG/fPpSWlqK4uFhz4i4RERGNLSyzobiiVcuuLoeRB9rqOnp5+UywxaTUC1BpleLIF7FSZ/vlC0yJY4h9RC95cTMhjhFsVVv5e21sbER7ezuysrKkCbgFBQUAgI6OjoDxXICKiIiImJmnuCCy6GKBJa0ymWAZ+WCZdnmbS6fTKWXp5QtQWSwWzey9aHVptVpDPimQB/pWqxV1dXWoq6uD1WoNWCxKTX2ToFVSJD9fuOMRERHR2MNgnuKCPNuuVSZTVVWF8vJyaTVXi8WC8vJyOBwOKdPucrlQWVkp7QdAKkcBoAic09LSYLfb0dTUJGXvg5XchKJVBhTtvlolQgA0V64lIiIiAhjMU5wQgWxWVpb0WkVFBVpbW1FWVgan0ym1jbTZbKitrYXP50N1dTXS09Oh0+lgMBhgsVhw7733ShlskWG32+1SoCzPiIsuOSJ773A4sGDBAjgcDuk65OPV2XR5Bl9NnNNut0f0ZyA/ltZE3sEej4iIiBIfg3mKK/X19VIQ6/V6pdd7enqg0+mQkpKCxsZGpKSkSNsOHz4Mv9+Pnp4e1NfXQ750gshwNzY2Sq/JM+Dykpaenh5UV1dLNwkiqA83IVd9LpHhDxXoA6E772idJ9zxiIiIaOwZt2nTpk0jfRGjUW9vL6qqqnDllVciOTl5pC9n1Fu9ejWOHz+O3t5e+P1+dHV1wWg0SgF9UlIS+vr60NfXhw8//BB9fX0ABlo1TpkyBV1dXfD7/dDpdOjv74fBYMCiRYvw1FNPoaurCx9++CG6urrwzjvvICkpCU1NTdi3bx/0ej28Xi+Sk5Oh1+ul4wKA3+9HS0sLKioqcNVVV8FsNsNsNiMlJQWVlZVISUmB2WyWxhcXF6O1tRWvv/46Jk+erNhWVVWF4uJixT4pKSn44IMPYLPZFGOBge41V111FZqbmwP20zoWERERjQ6xjiGZmae44PF4AAyUuwii4wwwkDUPtp+otRfj/H4/PB4P6urqoF7g2O12o6amJuAcvb29inPodDoAwLhx4wLOGSyjLp9wq96mtY+YXFtZWQmHw6E5EVe9n3zuQDS99ImIiCixMJinuKC1CJOcPMiPdFxvb2/A9v7+fqSmpobdV9wEaC2zLLrhuN1uRfBttVo1+7+HWqlWBOu1tbVBbxDk56qsrFTMHSAiIqKxjcH8EK1ZswZ2u13x669//etIX9aoU1RUBJPJBLPZLE1mDVZCkpeXp1hJNSnpq+USxMqo6q+TkpKg1+uRm5uLoqIiKfMuftcaH2yyqdVqRVpamtQ9R71N9JQXmXatlWoFURufk5OjWYuvPpcYX1xczNp5IiIigs6vrkOgiLjdbixfvhzbt2/XzN5SbIhg2GKxoKmpSbGYlHwRJafTCZfLBaPRCLvdjsrKSrjdbrhcLuj1+oDgV37cmpoa+P1+xb7y86jPZbVaFd8DCNhHLFgl76CjPma496x1Lgbwox9/nkREY1usY0gG81FiMB9ftAKkSIOmSMZlZ2dLNwt1dXWKbfLAXWTlQx0z3Pm0jkeJgz9fIqKxLdYxJMtsKCFotW2MtJXjUFs+WiwW6PV6qWe9mrplZbiVXNXHU+9PQ+NwODB//nwsXLgQixYtClg5GAj8M4/kZ6C1T3Z2dsA5gs25ICIiigYz81FiZn5sCZX5F+U88kyrPPsKQJGJDZXlV++7a9euIZXsUKDMzMyRvgRNOp0Ob7311khfBhERDTNm5olGgDx7LzKwIsMOIGDyaqiFpuQruYpjyVtTqsfLvw+10BSNbn6/P25vNIiIKH4lhR9CRILo8+7z+WA0GqUgW50lt1qtAa+JAFy+TWTd29vb4fP5UF5ejuLiYilw1zqWmLhbUFDADP0gORyOkb4EIiKimGJmnigMeS20vM+73W5X1NqLGmmtGmytjLq8/3xOTo5iwalg40WJTVNTEzP0UaitrR3pSyAiIoopBvNEYcgDa3Wfd3Wg73K5pJ7wDocDCxYsgMPhCCidEccV/edLS0ulgN5isUjjRQZeHF99HVw4anBycnJG+hKIiIhiisE8URihutXIO9PIt1ssFtTW1sLn86G2tlazY446IG9qaoLP50NTU5M0pr6+Hq2trSgvL0d6erp0HUPtwDNWlZaWoqGhAXl5edDpdEhKSoLRaERJSQlKSkoUC5CZTCaUlJTAaDTCYDDAaDQqFjITC5wJ8oXM1HQ6HcxmM4xGI4xGI/Ly8qRVj+WLlYkJ00RERJFiN5sosZvN2CHq2vV6PSZMmACXywWdToeJEyeip6cHHo9H+t7lcgEADAYDPB4PgIEAra2tDampqSgqKgLwVd373r174fV6MX36dGkybV5eHurr6+FyuZCUlIS+vj4AAwGh+OtqMBhQVFTEYH4IBrMQWLDuRGJug3xRM/EERSxWJj+W2MYe80REYxcXjYoTDObHDofDgerqagBQBNfAQDa2s7MTfr8fSUlJ6O/vR2pqKrxeL7T+ahkMBkyaNEkK9nw+X8CYYK9rHWvfvn1DeGdjm7pFaKh2okNZ8Tdca1GHw4Ha2lrk5OSgtLR0RP4siIjo5ImL1pRtbW0Rj92/f380pyCKG/X19dLX8kAeADIyMqSgva+vD36/Hx6PB+PGjdM8lsfjQXp6OgAgJSVFc4w8kJeXfWgdi2JHXvakLq2SlzVplTjJx6u3h9oGQFGOFa1IFxYLN44LlBERjT5RBfM33XST5mI3cj09PXA6ncw00ajX09MTdFtzc7Pm6+qgXzAYDDh06BCA4MG4vJY6VE22GEfRkff7V9Oav6C1JoDWeHVArHUsOTHxOdrJuaJdqry7kfoaxGTsioqKkF2QuI4BEdHoE1WZzRVXXIG+vj58//vfh91ux4QJExTbP/jgAzzwwAP47LPPYDKZ8Pjjj8fsguOFeEQyY8YMxQQ2AMjPz0d+fv4IXRnFmijHAIDk5GT09vZqjjOZTFLdu9FolPbJy8vD3LlzpfKKioqKgEDebDbj8OHDyMnJkTK1er0efr8ffr9fWh20qqoKTqcTwEAwypr52AlXDiOfO+Hz+RR17/IyHHVdfLgSnUhUVVWhrKwMwMDTmqlTpwZ8lnQ6HdavXw+r1Rp28Smz2YyjR4/C5XJJN4Uej0f6zOXm5jIRQ0Q0TOKiZv7TTz/F/fffj48++ghTpkzBzTffjPPOOw8AsGPHDmzbtg19fX24+OKLsXr16oTMILJmfuzQCsbS09Nx+PBhTJs2De3t7YOqdxbHk0+alAd28hpqAKynPknUE2KDbQ/2c4vkOPIbhkgnwI7UqrBmsxlPPfXUiJybiCiRxUUwDwD9/f3YunUrnnvuOQAD/0l9+OGHaG5uxsSJE/G///u/yMrKGvIFxisG80SJI1gAHi7Aj/Y84W4I5EYqmAeAhoaGETs3EVGiiosJsAAwbtw42Gw23HXXXRg/fjx27dqFQ4cOwWKx4Ne//nVCB/JElFiC1YqL18vLywMmhYZa8TfYRFIxAZYr+BIRUawMadEot9uNmpoauN1uqbb36NGjOHLkSKyuj4ho2Iig22KxaK6oa7PZpBp5rUBfvuKveptYTEwrqLfZbDAajXC73ewcQ0REQxJ1MH/w4EH88pe/xN69e3HWWWfhV7/6FaxWKzo6OnDbbbfhiSeeCDpRkIhopMiz5iLobmpq0lxR12q1ori4OGigL1Z0tdlsiuOKNpcApAy8fLvVakVaWprmjUC8KCkpGelLICKiCEQVzP/hD3/Axo0b8cUXX+Dyyy/H/fffj5kzZ6KwsBB33303pk6dihdffBFr1qzBxx9/HONLJiKKnrykRt5bXlCXyMh7w6sD8rq6OtTV1cFqtSqOK/YR7S/lXW5E8K51bi15eXnQ6/Uwm83SzUNJSQlKSkpgMpmQl5cnvZ6XlweDwQCdTqdoPGAymdDQ0CD9kh/TZDJJxxOduUwmEzslERGNElFNgF22bBmmTJmCNWvW4NwGYjqGAAAgAElEQVRzzw3Y7na78eijj2Lv3r1ITk7Gn//855hcbDzhBFii0SncpFb1yrCRbgu3kmssJtOGWqVW63zyNqaNjY0B16d1PL1ej+LiYgbzRETDJNYxZPDlJUNYtGiRZn95IS0tDWvXrsX8+fPx6KOPRnVhbrcb27dvR0tLC1paWuByubBy5UpcddVVEe3f3d2Np59+Gvv27UNnZycyMjJgtVqxePFixbimpibs2bMHhw4dwhdffIGvfe1rmDVrFlasWIFvfetbUV07EY094RaHigV5/3sAiq/VxGq1Qnl5ubTSrAjm5cdrbGyU2qwykCciGj2iKrMpLi4OGsjLLV68GI888kg0p0BnZyeqq6vR29uLhQsXDnr/u+++G7t378aKFSuwadMmzJo1C/fddx/27NmjGPe3v/0N7e3tWLZsGW6//XasXr0ax48fx7p164b1P2UiGhlanWvk5TPylWHVJTehtoUr2VGfN1jHm1DkJT/yryOhtdKs/Bgn42aEiIhiL+o+88NNXJZOp8N//vMfXHPNNRFn5hsaGrB582asW7cOP/jBD6TXb731Vhw5cgRPPvkkxo0bBwA4fvw4Jk2apNi/u7sbq1evxplnnom77rpL8xwssyEanbQWAXO73XC5XAElK/JVX9WlJ6G2iXPIj6vOqotM+WAWkBrMarKRlPXEYnVaoqGI9VoORKNBXPSZb29vH9SvaOh0Ouh0uqj2ra+vx/jx47Fo0SLF6xdffDE6Ojrw3nvvSa+pA3kAGD9+PM444wx88cUXUZ2fiOKXyEYDAwF1a2srACiy6vKWlaI1pbrXfLi2lerjyrPglZWV8Pl80Ov1YSfAah23srIyaG98rbGRHG+wmX6iWIjkc0pEoUVVM3/DDTcMKtB+4YUXojlN1D755BNkZGRI2Xdh5syZ0vY5c+YE3f/EiRP48MMPcd5554U9l9vtjuiakpOTkZycHNFYIhp+8oDabrcrglh5MF5cXCxl0UXAITKJxcXF0oquBQUFUmDudrthNBpht9ul8fJjWywWABhUNrKqqko6biQ18+onAepjqa+DaCSE+pwSUWSiCua//e1vawbzPp8PX3zxBT7//HP4/X7Mnj0bSUlRnWJIOjs7pe4MchMnTpS2h/LYY4/B4/Hgv/7rv8Kea9WqVRFd02Am7xLR8JMHEaLtpPhevQ0AnE4n3G43Kioq4PF44HQ6pbaUosuN6B4jOt6ot6WlpaG1tRVut1t6tBquC44gFqmSt42Ut8tU3xiIr8WNRLCbFXmJD0se6GRTT9QmosGLKtK+5557Qm4/evQofvWrX0Gn02HTpk3RnGLEPP3009izZw/++7//O6JuNlu2bImo3olZeaL4IM9Ku91uOJ1ONDY2oqamBn6/H06nU8qoNzY2SgE6MBCkCz09PcjOzpa+DnYuefLAYrGgvb0dPT090oJR7e3tAV1mtI6jzsoLIjAvLy8HoB20O51ORZAeLBuqLruhkcMbKyKKVNQrwIaSkZEBh8OBI0eO4Nlnnx2OU4Q0ceJEzey7eE1k6NW2bduG7du349prr0VBQUFE50pLS4voF4N5ovjgdDrR2tqK6upquFwuuFwuVFdXS5Pu3W43ysrKAsao9ff3K7YZDAZ0dnYiLS0NOp0OPT09qKiokI6bkZGB2tpa+Hw+6Ritra1SZ7DZs2cHvWaRlU9LSwsI7ELV7gdbiTZYkBjpQlY0/AZbSz6Y7kjysdF0VSKi+DIswTwAnHLKKTjnnHPwyiuvDNcpgpo5cyaOHj2K/v5+xeuffPIJAODMM88M2Gfbtm149tlncdVVV0VUXkNEo1OwLLrQ19en+boocRF6e3sV+3g8Hvj9frS2tsLv98Pj8cDj8UhjmpubpUDe6/UqjgsMPNEMJlSQbbVaUVxcrLk9kpVotcYzExw76mC5qqoKixYtQmZmJjIzM7Fw4UJkZ2crtovJ1waDAW1tbXA4HJrHzc7OlvaV/1zFMRwOR8C5CwoKpBva8vJy6WtOQCUavYa1NeWmTZvwzjvvYOfOnUM6TrStKYuLi3HhhRdKr99+++34+OOPFa0pAeCPf/wjnnnmGSxfvhzXXHNNRNfE1pREo9OiRYsUQXa80FpVNphQdfbhyjPU21nOMXwKCwvR3Nw80pcRkby8vJBzNogoduKiNWUkPvzwQxw4cADTpk2L+hgNDQ147bXX8NZbbwEAjhw5gtdeew2vvfaa9J/xgQMHcOmll2Lbtm3SfpmZmfjud78Lp9OJ6upqvPPOO/j1r3+Nt99+G6tWrVIE8s899xyeeeYZnH/++cjMzMThw4cVv4gosaSkpACAYnJ+sIn6ZrM56HG0JtlHSq//6p9ek8kEvV6PrKysiPcX5Tq1tbUB20SmVV7rL88Oq7PvWuMpNkZLIA8A1dXVI30JRBSlqCbAygNnNY/Hg88++wz//Oc/4fP5cMkll0R9cY8++qiiT70I5AHgiSeegMFgADDQRUf9gGHDhg3YunUrnnnmGXR2diIjIwO33HILFi9erBi3f/9+AMDbb7+Nt99+O+AaXnzxxaivn4jij91u11woqbGxUTPb7XA4UFNTg9TUVJx11lk4fPiwNEZ0qjEYDNJNQlZWFvbu3Quv14vp06ejra0NqampAAb+fRQtK8V5RYvMway8mpOTI11rJNSlNczEExEljqjKbJYtWwadThcQQMulpqbiJz/5ScK2Y2SZDRENpkQl2NhIy2IsFguamprCnkvrePLXRGCv1+uRk5OD+vp6AFD0xGegHxuZmZkjfQmD0tDQMNKXQDQmxDqGjCqY3717d9BtSUlJSE9Px6xZs6TMeSJiME9EJ0NBQYEUfPt8PphMpoDe8KJERr74VaibB7EIlvqY4lzqc1B0GMwTkZZYx5BRldksWbJkyCcmIqLwRDZdnpkHvgrW3W631BFH3h8+WP95+Xb5MUP1sqfolJSUSDdaYsEwQczT6O/vR25uLj799FM0NzcjOTkZ48ePV7RDNZlM0r7qp+ImkwltbW0YN24cfD6fovWplqSkJCQlJSElJQWdnZ3SsYYyByQanHhNFDvD2s0mkTEzT0Qnm1a5jNFolLarM/MiAx9Jpp1Z+diL9s9U/bQF+Kr8CYDi5wpA+hx0dXUF/LzDHcvpdEr7yUXS3Wb+/PmKm4EvvvgCfX19MJlM0mJoYrV4v98vtUe9//77A1rAJiUlIS0tTfEZJkpUcZGZJyKik8/pdMLlcsHpdCIrKwvt7e3IysoKGnSJBalsNlvIdpbAV6vTWiyWYX0PY4l8pd1wmWj1z0ddGiXIn6zIJ3G73W6pdEr+ZEUsOGYymWC1WqUbjMrKSingLysrC7ie6urqQXW4kT91kH8tzxe2trZqngsYWKvB5XKhrKwMZWVlLPkhGoSIMvM33HBD9CfQ6fC73/0u6v3jFTPzRMOHj+C/Ip8AK4IrUesODPSnT0tLC+gbf/z4cal7TlZWlmLf4uJi6Zii805qaio8Ho+0faz/ucea6HwUbD2BBQsWSMG46LIWyb7hJkirbxLkf7cA7UA+HjCYp0Q2Ipl5eXtIIqLhJm+lONaDSvFn0dbWJr0mL4no6emRMpqNjY2or69X1Fu7XC5FhnXChAlSACfPoIq1O3w+H5xO55j/cx9OWjerg2k3qlVuBUCzlKepqSlo61Ou+kqUGCIK5v/yl78M93WMWmvWrFEsAAMA+fn5yM/PH6ErIhr95OUJY116ejpaW1sV5QoGg0EKvnt6eqTXa2pqFIviaZEH+sG43e4or5aCUa8toL5ZLS0tlTLnBQUFikBfa20EsX+4vyvq7ep94zUzT0SR4wTYKLHMhohOBvkkw3CSkpLQ398fMD7YuiChXhcrb1PshSqNETXt6vIp+b5arUgHe25x3HhsnxmsFIkoUcQ6htSHH0JERCNFrB4rfwIo2hqKr0XHkLS0NOTm5kKv1yMvLw8lJSUwmUxYv3498vLyoNfrpX2NRiPWr18Pg8EAnU4Hs9ksfZ2bm3sS32HiEll2+QRWYGAS665du9DU1KRYmRcYyKTLu9SoS2HEhNa0tLSAQD7Y+eTb1eU9JSUlMBqNMBqNyMvLg8lkkj43gslkQkNDg/S6fLter0dJSYn0mtlshk6ng8FgULwuui7J9xfb5Z9tvV4vdd0hoshElJl3OBw4//zzccUVVwRsc7vdUs/asYSZeSI6GdQTFsN9He1KtBR7kWTZg/0sBrticCStSMO1ypRvt9lsIZ8AqK9D69jBPrvyidryFpnBzkWUaEZkBdhly5ZhyZIluOmmmwK2XXrppViyZAluvPHGIV/MaMJgnoiIQlEv7KUVRIcKeAdDvlKwuhtRuI43WtcSSfvMcNtCdeHhugY0lsVdmY3f74+4npOIiGisEOU0drtdynarS2HkE1LlXwPKshmtEhr5a6I8R6utqDhuU1MTdu3aJWXG1cezWq3ShFmtUp3a2lr4fD7U1tYGnD9U1xwtFosFer2e6xoQxQBr5omIiIaRCOqtVmtAwC6CcJvNpvgaCB3oq7fLzwFoB/ryjjdOpxOtra1SeYvWMdVycnKg1+ul9pnqzjjqc4ibGK0aeK3gP1zNPxFpYzBPRER0kmgFvYI6IA8V6Ic7ljxYVx83kuuzWCwBgXVpaSn2798vldHIz691Dvlr6kBd69pD3UgQUXAM5omIiIZRqIyzPIANNW4wAXkk1yHPmstfD9VpR32swdT3qwN1rUDfYrEEvTkhouAYzBMREQ2jUOUy8gy1elu4QD/Udq0Sl2BlOeL18vLykJnzYO9JrqqqCtnZ2cjOzlZca6jjadX0E1HkIu5mI/oYR+OFF16Iet94xW42REQUiWBtGLOyshTdZdRdZ+TdZ0TAK29zCXzV/UZs1+oOIzrNzJ49Gx0dHZrnE5NbI+0uEywzL7rUAIjoWENdBItoNBqxbjaia000v4iIiMYakS0HIGWcrVYr0tLS4HK5UFtbq8isi+BYlLjU1tZKwbJ6Many8nIAkAJ5i8UCo9EIt9sdUKYjAvXDhw8rMt/yjHhxcXFEJS5a70nOZrNJi1Bpde+RH0O852CLYBFRZCLKzFMgZuaJ4hcXRqJ4EKyXulbfd3lm3WazKRaAEttFoC3fJnrYi4y9+nwOhwPV1dUAgLy8PMydOzdsX/tQf38G2x9ea7x6cSr+XaWxJu76zBMRxRt2xaB4IK8TLywsRGZmJgoLCzXHir7r6enpqKysRE5OjmIlVnkbyQkTJkiZ72DnE0RPeL1ej9LS0qB18+psebC/P1rnCDVxN1wXnlhM7CUa65iZj5K4q5oxYwb0euU9UX5+PvLz80foyoiImXmKJ1VVVSgrK5O+N5lM0mqtPp8Per0eEyZMgMvlksYYjUb09PTA6/UiKSkJvb29MBqNAACXywWdTof169cDgJTlr6+vB6CsPZevzAogaJZe/WRgMH9/Qq30yr+LRIFinZlnMB8lltkQEVEoIpDW6/Xo6+sDMBCki6DdZDKhra0Nfr8fBoMBHo9H2jc5ORm9vb0BxxQ3AABgMBjg9XqRmpqKlJQUxXHFpNacnBypL/z8+fOleWzy82mV8gQLwLWCc3UwLx+jNXE30pIeokTFMhsiIqJRoKamBj6fTwrkASiy762trVJw3dPTo9hXK5AHIAXyAODxeOD3++HxeOB2u6XXLRaLdO7q6mpkZmYiKytL0ZVOfuMgSntEQB2qzEZrm7pnfXl5ecDKsOL9qttosiSOBoOrBGtjME9ERDQMxo0bF/FYeZAOYNDtoOU3DHv37kVqaqpie29vb8A5hEOHDgX0vg/WGUcE5xaLReonL16vrKyE0+mUSofkNfEi4Ff30w91Lkpc0Qbl6ps/BvcDGMwTERENA/H4PCkpSXrNZDJBp9PBYDBIGWstImOv1+uRl5cnvW4wGKSv1fO1BK/Xi6KiIphMpqDnkO+bmpoqBeii7aRon6nOmMtXiHW5XNIYEWSJ91hcXAwAASvLyttsimBfnEu+aBXFRrwGu2VlZWhtbVXMJYmEekI1n+wMYDBPREQ0DEQ2et26dWhoaEBDQwN27dqFt956C/v27cOuXbuk1/Py8qDX62E2m2EymWA2m6HX66Wa95KSEphMJhQVFUlfFxcXK/YzGAzQ6XTIzc2Vguddu3ZJY/Ly8hT7yo8pAnR1eUywvvM2m006n8Vikcbb7XYpaFd34RGsVissFgvKy8vhcDhgs9mkuQAM6GNruIPdcDcLsb6ZUHc/Cvc5DSdeb3YGixNgo8QJsERElAiqqqpQUVEBj8eDpKQkpKWlaa7GKu+MU1paGrZfvHxirN1uV2xfsGCBVI5TXFwMp9OJzs5O+P3+iHvYUyD5ugLByNckAJSToeUdiQoLC9Hc3AyTyYT29vagZVpD1dDQIH19sidED3bdhFhhN5s4wWCeiIgSgQho1AwGA4qKiqSgSgTgAGA2m9HS0gKv14vp06dL+8tbas6ZMwdHjx4FMDDB1+PxSIF9RUWFNObw4cOKDj3yc1LkMjMzY3YsdXel4SQP5tXBdaTB/WBuAuSLtonVkcdEML9t27boT6DTYcWKFVHvH68YzBMRUSKQZ3N1Oh3kYYE8yBGZ2lDkrTPVxwIQ0Ctf9NCX779///6hv6kxKJbB/MkkD+YXLlyomMytRb4ug3iyc++99wZ81rTk5eVJ5WShrmO4xTqGTAo/ZCCY1/pLKZ9tL7apX0vUYJ6IiCgRiMWmAIQMiFpaWsIeS16KoXWsjIwMvP/++9J2dQvO2bNnhz0HJQ5xcyeEC+SBgc+YaPHq8/kGNYk2XAnSaBVRMH/TTTcFvHbo0CHU1NTg1FNPxQUXXIBTTz0VAPD555/j9ddfx+eff47c3FzMmTMntldMox4XCSEiih/qHvdy8gym1+vVHJOUlBRREAYAhw8fDnnD0NHREdFxKDHIVwwWnZRo8CIK5pcsWaL4/vDhw/jNb36D5cuXY8WKFQG9dG02G7Zv346qqipcfPHFsbtaSgjy2fUM5omIRlZKSoo0+dXn82H27Nl477330NfXB7PZLI3Lzc1FTU0NUlNTcdZZZ+Hw4cPIyclBfX29lClV19K3tbUFjAe+ypCazWYcPXoUPT09SElJiborCcWOViXGyaBV+kKRiSiYV3vmmWcwY8YMXH311Zrbx40bh6uuugr19fV45plncOeddw7pIimxqJcNJyKikaPuNBNMaWkpSktLA16P5mmr1nFoaBoaGqQJpKKWXPw8qqqqpBahdrsdAKSfmXqNAPlEUPnPVuxjsVjQ1NSkua/8//cHHnggYD7EcHXEGeuiCubff//9iCZanHnmmSd1QsFIWLNmTcDCHfn5+cjPzx+hK4p/VquVGXkiojgx1H+T+W96/FAnywoKCqTXXC4XTCYTrFar1DbU6XTCbrdLgb46ySZ/ki76u1dVVaGpqUkaL99X/VlQB/+DXSRKiLa7juiuFGrfRGiFGlUwD0BqNzXUMaPdgw8+yG42RERENOLkwbTI0ssz8FpPxEPdjGnt53Q6pRuBuro6xb7qtQjUx5UH8/KVjdVKSkoUTxLETYW89Wlubi5KS0sV3ZjCtbQUTyjEmgZ6vT4hqgSiWgF2zpw5+Oijj7Bz586gY3bu3ImWlhZOgCUiIiI6ySwWC/R6PSwWS8A2sTqx3W4PuQqqesXVcETf9traWs3touOhTqcLKLUS8zPMZrN0PnHTIF9heN++fXjrrbcADKx9AAwE/0ajEW63Wwrk1SvfitftdjvWr18vrYScCE+Volo06qOPPkJxcTF6enowY8YMqZuNTqdDe3s7Xn/9dXz22WdISUlBeXk5vvGNbwzHtY8o9pknIiKieCVfgAlA0JVOQ62CqpXh1qqjF9vVmXn1eJHVNxgMmDRpUsh5FvIVhOVdbwT5KsL79+8PuyLxSK32qiXWMWRUmflvfOMbuOuuu3D66afj6NGj+NOf/gSn04nf/OY3+NOf/oSjR4/itNNOw5133pmQgTwRERFRPBPZbJvNpvg61Dg1rQy3PFuv3l5aWor9+/crsu7yMeKJQEpKSsBx1cI9PcjJyYFer5c6JIV6EhHufY52UWXmBb/fjwMHDqC5uRkdHR3w+/1IT0+H2WzGeeedp1hAKtEwM09ERETxJlS9+GC7Dol95JNYtWrQgYHgW+u44bL7kVxLJFn1SJ9ExIO4yMwLOp0O5513HlasWAG73Y7/+Z//wcqVK2GxWBI6kCciIiKKR1rZ9FCvhyKy8E1NTZr7Wq1WpKWlweVyBWwT2XQAirr7aG4qRFbdYrFo1vdXVVXB7XbDaDQGPIkINicg1FyB0WZIwbzQ29uLjo4OdHZ2xuJwFGcS6QNP8YGfKSKi2FMHtXKhykzC/Ztss9kUE0zDHbeqqgrl5eXSDYD8+KFuKoJdR7ibCtF6My0tTerOIzLy8uuQn8PpdA765iZeDSmYf+mll3DjjTfCarVi1apVePLJJ6Vtr776Ku6++278+9//jurYbrcbW7Zswa233oqrr74aS5cuxbPPPhvx/t3d3fjd736H6667DpdffjluvPFGvPLKK0MeOxZFczdPFAo/U0REsacOauVCdaYJ1v1FBNahMvDywFkesIvJqfLFpURGPlyNvtPp1Azqg+0b7HX1dcjPASBhauijCub7+/txxx134Le//S0+++wznHHGGQFL/37961/HG2+8gVdffTWqC+vs7ER1dTV6e3uxcOHCQe9/9913Y/fu3VixYgU2bdqEWbNm4b777sOePXuGNHa0iyYjOpyTRrKzs5GZmYnMzEzpcRwltlCZI7GdWXsiosFT/38d6b+nWv/PqwP8cKUrWgG7aP0o3zfUTYUYByBoWY+4OZCfO9gx1dchf81utw+q7WZc80dh586d/qVLl/rvvPNO/7Fjx/x+v9+/dOlSf0VFhWLcDTfc4L/llluiOYXf5/P5fT6f3+/3+48fP+4vKCjwP/PMMxHt+9Zbb/kLCgr8e/bsUby+ceNGf2Fhob+vry+qsXInTpzwFxQU+E+cODGYtzXi5s2bJ/0aaTt27FBcTzxcEw2//Px8/7x58/z5+flRbScioshcdNFF/nnz5vkvuugize07duzw5+fn+3fs2BGwbcOGDf758+f7N2zYELBN69/pUOMjPafWGPX4RPg/ItYxZFSZ+bq6OkyePBm33HILJk2aFHScyWRCe3t7VDcZOp0u6km09fX1GD9+PBYtWqR4/eKLL0ZHRwfee++9qMZSZAoLC5GZmYnCwsKgYwoKCqJe1plGt3BPetTtxRwOBxYsWIDCwkIpE8TsPRHR4Kj/3VTXtas1NTXB5/OhqakpYJtWG8hQ4yOtmRdCtb8M939IqP8fEvX/jqRodvr3v/+NefPmITU1NeQ4o9EIl8sV1YUNxSeffIKMjAyMGzdO8frMmTOl7WJl2sGMTTTZ2dmaCzEI6pZUFosF9fX1AIK3oAKA5uZm6XdRayc/Xnp6ulSvRomrsLAQzc3NSE5Oxtq1awNu3srKylBWVga9Xg+9Xo++vj7F9qamJmRmZkrfi8+V/DjiGHI6nS6g7E+n02HcuHHo7++XlgAnIko06laRdrtdKnuR16NXVlbC7XYH1JPLyRdeEscW32sF7vLx6o416hIc+XHDsVgsaG9vl24cxATXYOTnUo8LtW00iyozn5ycjO7u7rDjPv/8c3zta1+L5hRD0tnZiYkTJwa8Ll6Td90ZzFgtbrc7ol+9vb1DeUvDQtxoBbtTFR/66upq6XeXy6U5AUbIzs5WfF9WViYdW8wcF0GZWl5e3tDfFMUFEcgDA92uQj2F8fl8AYE8gKhv+NSBvHitr68Pfr8f1dXVipsEIqJEISbAiv+n5RludT06gIB6cjl1HXq4SazBsunqeVJaE2ZDiTTjL8ifGqi3J+rCUVFl5mfOnIn3339fWmZXS3t7Oz788EOcd955Q7rAeLdq1aqIxq1cuRJXXXXVMF9NdNR36yID73a7g+7T2tqKzMxMJCcnIzs7W8rcaz2JaW1tjaikhtnSxBHsho2IiIaPzWaTMvPqgFVktKNZxEkrIBfHEkk8+RN7efZd3GCYTCbFsbWy5FrXEeoJgdYx5MG/vJVlImXi1aIK5nNycvDwww/jgQcewC233IIJEyYotnd3d+ORRx5BX18fcnNzY3KhgzFx4kTNjLp4TZ6JH8xYLVu2bIlo9a7k5OSwY0ZCZmYmDAYDAEh384PJiPb29qK6uhpA9JlUAGhoaIh6X4o/SUlJmtl2IiIaPvISFJGVVgfo8ky7UF5eDp/PFxD0isDZ7XZLATkA6bgiUBfHE/vKzyHKY+Q3Fw6HA21tbTAYDJoddERyUX7joB6jLtmRlwbLz+d0OqX++Or6+1A3MKNJVGU2S5YswQUXXIDGxkbccMMN2Lx5MwDg0KFDuOeee3D99dejqakJixcvRlZWVkwvOBIzZ87E0aNH0d/fr3j9k08+AQCceeaZUY3VkpaWFtGveAnmtZ6keDyeEbiSr7C8JvGsW7dupC+BiGhMU5e6yMtNRNmrCJqD1c6LYwBf9WSX72v7/xeTMhqNsFgsWLRoEebPnw+HwyHtK+baAV/dYFRXV8Pv98Pr9SoC6WCtKcV+DocjaMmOmMzb1NQkBfkAFP3x5WU26sB+NIt60aj169fjuuuuQ1JSEv75z38CGJgYW19fD5/Ph6uvvhpr1qyJ2YUOxsKFC9Hd3Y3XX39d8fru3buRnp6Os88+O6qxiSDUhNeRolUHR6Ob1WqFXh+TBaaJiChC8qDdYrFAp9Ph+PHjUgBeVlaGwsJCRUWCqDHPyckJyMqLwFkrMdvZ2YnGxkakpaXBbrejvr4eHo9HmpskbgJ6enrQ2tqK8vJyVFRUKJ7iqxupiODcbrcrVpwVgXdtba3moljqG5Jg9f3y4D/UeiejTVRlNsBAd4grrrgCl112GVpaWtDe3ha/anUAACAASURBVA6fz4cpU6Zg1qxZMclENzQ0wOv1SpNtjxw5gtdeew0AMG/ePBgMBhw4cAAbN27EihUrsHLlSgADpSPf/e53pUcrp512Gl555RW8/fbbWLt2raJzzWDGUuzIa+0T4S8SBdq/f7/mI1rxDynwVWs0n8+nyMbo9Xr4fD4AA09uxHyKgoICRZZIfqxFixZJT5ny8vIUny1RQ5qRkYHDhw8jJydneN88EdEIcDqdcLlcKCsrQ3JyMvx+PzweD3p6eqQx8jlNaWlpqK2thc/nQ21tLebOnSsFyeJYOp0O9fX1cLlcKC8vx+zZs9Hc3Ay/3y/tW15eHjReEuf2+XwBlQBFRUWK7+X18MBA+a/T6URWVhba29sxe/ZsdHR0BHTMkZfbyEt85GU6DocD5eXlyMnJQVNTE1wuV8IknXR+rdYPceL6668P2qf+iSeewPTp03HgwAFs2LAhYIJpd3c3tm7din379qGzsxMZGRm48sorsXjx4oBjDWas4Ha7sXz5cmzfvj2imvl44nA4pDr34WA2m8NOgJQ/5kqEejUKTf0PtPznrrVNtENVjwegaLum3iY/rsPhQG1tLXJycgJuBtQ3AkREiWDhwoVDmq9kNBqlJ/jyY8kTLHIGg0GzVDfS1uTq+XLyf6NFEshgMKCnpwc+nw9GoxFpaWlSuY9oxGK326X/G7KysrB37154vV5Mnz4dbW1tSE1Nhdfrhd/vh06nw8SJE6Xrk7/nkyXWMWRUwfzDDz+McePG4fLLL8fpp58edFxNTQ0OHTqEm266aUgXGY9GczAvz26GotPpkJubG9BbXt4vXh2063Q6rF+/Ho2NjaitrcW0adPQ3t4u3QmLrGtxcbH0GIyB1dgy2IA61Pjs7GzpH3P1P8YLFiyQHrvu378fQPiODUREo9n8+fM12/Nqrb+hxWAwYN++fSGPNVgmk0mKOeTXIT+XIJIws2fPRktLC7xeL5KSkqT23uKmQqfTITU1FR6PR/F1KMEaM2hdx3CLdQwZ1fOF3bt3o7a2FuvWrQtZ79zc3ByXNdpjnXzCitls1nzMlJeXh7feegulpaWoq6tDXV2dYpb6rl270NHRAWDgL1deXh70ej38fj8qKyul1lCi/EpkWeU9bRO13yuFprVyoBCuZ/Bg5OTkSHWggrpvMhFRItHqIKjT6aSv9Xq91MFO/lqkxwo1Ppjjx49LX4tAXqfTBZTYAMDevXvh8/nQ3Nws1d/L1+kRTwfE2iHi60gaeagbnQgpKSmRv5k4FXWx0PTp0+H1erFp0yZmVUcRkZm02+2oq6vDsmXLMG3aNOTl5cFkMqGkpAR5eXmora2Fw+HQ3F8EWzabTbpLbmpqQnFxsRSci0A9JycnaMDOwCrxaQXn6gVAwi3zHWrBELvdDpPJJJXcyJWWlmL//v2K9QsSdSlvIiJg4N89kVwzm80wmUxYv349cnNzpeRGUVGR9P99Q0MDiouLpYBfHtiWlpZKHfAMBoOUBCwuLkZJSQlMJhPy8vJgMBig0+mQl5cnnVv8DgBer1caI78mrf/7vV5vxO81WDmReC/JycmKGxetpwx6vV7z/4/RJqoym2XLlmHJkiW45JJLUFpaiv/85z/IycnBL37xC8UEiIqKCvzjH//ACy+8ENOLjgejtcxGlCyoS11EUG4ymaRsurw8QVCXNYSqhQ52bpbVjB3iZy6vcwSUnxP550JrHoW8d7B4whNsURN5PX24Xsn8DBIRDQhWgjiU0kSteUuR7gN8lYUX5TGhymlEZYC8Nl7EOffee6/0vbzuX5QFj0RCMS5q5kUwf9NNN+GLL75AaWkpWlpaYDab8f/+3/+T7uQYzMcfdfcQETzJAyVR7671FzBUjbJWsD6YYJ8STyTdbIIF4GpaNwby8aE63YTbl4iI4kew2AEYiC29Xi/mzJmDo0ePAlD+/6G+iVAfK9L/c4ZTzGNIfxSWLl3qr6iokL73er3+srIy/9KlS/033HCD/+OPP/b7/X7/Qw895F+2bFk0p4h7J06c8BcUFPhPnDgx0pcyaDt27PDn5+f7d+zYEdHYiy66yH/RRRf5d+zYobmveG3Dhg0B2/Lz8/3z5s3z5+fnx+R6aHQK9jMO9vlQf+7kx7jooosi3ifc+YmIiE62WMeQQ87My/3xj3/Etm3bYDAYUFRUhDfffJOZ+TgX7hFaqGxnJKUL6uNrlUywq83YE650JtznLlh7SmbbiYgo3sVdmY1afX09HnroIXi9XkyaNAnHjx9P6GB+xowZATO78/PzkZ+fP0JXNjjh6thDlUFEU7ogr9lXl/owGEts8hu7cDdw4QJ2+ecWQNhj8fNFRETxItbBfNQrwAaTlZUFk8mEu+66C59//rmiJVIievDBB0d1Zl4eSGsRK6eF21c9JlgApVWjH+ocNHqpPwPq5bUH87kTwXtlZaXU1jRYPaX63PLz8nNGRESJJqrWlKWlpbjiiiuCbv/GN76BBx98EFdffTVWrFgR9cVR7Klb84n2kAAG1bIvXLZTq8Wg/HylpaVsS5ng1J8B+boCWm1JHQ4HFixYoNkSVd1rPlxbU6fTidbWVjidTq5nQERECS2qYP7cc89FRkZGyDGnnHIKli9fjpUrV0Z1YTQ8ggXZ4vXy8nJUVVVp9uMO1Q9cPV4eQLG399g02CC6trYWPp9PaksmN9je9HJcz4CIiBJZ1ItG0egULMiWLwBVWVmpGSCpyyTkgZp6vDyA0joWA/yxR/450Pr5a63YKoT6vGndNMgXk+JnjYiIEllENfMPP/wwdDodrr32WkyePBkPP/xwxCfQ6XS48cYbo75Aii15LbLoGe90OqWe8aHqkC0WC9rb22GxWAJqmuXb1LS2yZ8EiOuixKL+Gcvr3MU2p9MpvVZaWhqwWqu8lEu+iJTb7YbRaFRsE0G7eryot+dnjYiIElFEmfndu3dj9+7dcLvdiu8j/UXxI1SWMlw5grzUQX2cwW4TNdA+nw9Op5OZ0wQkf9ojD9rFBFZ5Jxp1iYxY3EzriU55eTlcLhe6uroU+6hLxYJdBz9rRESUSCJqTXngwAEAwDnnnIOUlBTp+0ide+650V1dHButfeblLf1CdaPRajsJICCzKtoBanUPEUspi/0sFotUF20ymaTvU1JS4PF42Gc+AWmtRRCsE418HQIxXpTdqNckENSrDctXNx7smghEREQnw4i0plQH44kYnI8V6enpaG1tRXp6ekCpjDwgF4GT2+2Wsp3FxcWKAMjpdMLtdqOqqirgWCKoqqyslLL9BQUF8Pl80Ov1sNlsqKiogM/nQ19fH7uNJLisrKyAgFx8NhobG1FeXo7GxkbU19fD5XLBYDDAaDQCAPbu3QuPx4N7770Xubm5ACC1Nk1PT8f8+fORmpqKoqIiFBcXS59h9ZLeVqtVek2rHIyIiGg04gTYMebQoUMAgObm5oBONfKyBlFyY7fbFRNjRZkMAKSlpcHlcgV0tAGA4uJiKfsuyhpEaY2Y4OjxeAAA/f397DaSoETgLg/k09PTpTaTVVVVqK6uhs/nQ01NjWLfrq4uuFwueL1eAIDf70dNTQ1sNhvmzp0LYODz7Pf74fF4pEWmBHl3HPHZrK+vV3TFISIiGu2iWgGWRm+ZzaJFi6QgWl5qIF+Zdfbs2Th8+DBycnIwd+5cVFRUwOv1Ys6cOVLwZDQaYbfbFat0qktvgK8m2YpyHXEOUVoDAGazGU899dQI/GnQcHI4HKiurgYw8FmTl8cIycnJ6O3tBTAwWV78cyRuIAHAaDTC5XJJ+xiNRnR2dsLv9yvG6fV6+P1++P1+GAwG9PX1SU99xLn1ej2mTZvG1WCJiGjEjEiZjdYiLoMh71BBI6uoqEgKzkVmVNSzAwOTBUWJTG1tLZqamqSgWwTywMAHsaysTDquvF5eZOPlZTPyYMzn80nHBICOjo7hfMs0QkQgD0AzkAcgBfIAIM8riAAdUH52AEiBvHqc/Gv550t+bp/Ph9bWVvzlL39hME9ERAkhomB+sBNe5XQ6XdT7UuxZrVY4nU54PB7s3btXKkUAIGXTGxsbUVNTg5SUFKnGHgDGjRuHvr4+AJB+lysvL5cmK4o6+5ycHCmoUwdlAmvlxxaDwaAItgcr2MNEeZY+nObm5qjPT0REFE8iCuafeOKJ4b4OOol6enoAKLOX8iy9zWaTJiLKg55QgZII+Kurq2E2m9HW1gafz4e9e/eGvBaj0cgMaYLKy8tDTU0NUlNTpc+aTqfDpEmTpHKradOmobW1FWazGV//+telCati0ivwVfCflJQUcBMptonJsuKGUSuw1+l0mDNnDpqbm2E2m4f77RMREZ0UrJmPkqh3mjFjBvR65Tzi/Px85Ofnj9CVhSevmxfkdchaQVM48myrXq/HuHHjFCUUYgwAqf6+o6ODtctjhLyzzNy5c4O2RBXkN5aAsn1lsGPJx8m/bmxsVHS1ISIiGkmxrplnMB+l0ToBFvhqUqqcfPKhnHzyoZisKM9wahEZWfXxSkpKGLgTERHRmBbrGJKtKccgu90Ok8mkKDUIdk/X1dWFhoYGNDQ0YO3atTCZTFi/fj2eeuoplJSUBIw3Go0oLS1Fbm4u9Ho9kpKSpNcZyBMRERHFVkQ181o8Hg9eeOEFvPHGG/i///s/dHd3Bx37wgsvRHsaGgbyBZ4KCwsDMux5eXnYu3cvvF6v1BNevZ/4HvhqdVfRSxwY6GBUWloaUC5BRERERLETVTB/4sQJlJSU4MiRI1L21e/3Y/LkyTh+/LiU5T311FNjerEUe6K/u3q1zEipA/zBbiciIiKi6EVVZlNVVYVPPvkEeXl52L59Oy644ALodDr84Q9/wI4dO1BUVITJkyfjnHPOYSecUaK0tBT79+/nBEEiIiKiUSSqYP6NN95Aeno6Vq9ejZSUFEUv+ZSUFGRnZ+POO+9EfX09nnvuuZhdLBERERERfSWqYL69vR3f/OY3pcmNojWjvJ3hGWecge985zvYvXt3DC6TiIiIiIjUogrmU1JSkJycLH0/fvx4AMCxY8cU4yZOnIi2trYhXB4REREREQUTVTA/depUtLe3S99nZGQAAA4ePCi91t/fj/ff///Yu/u4qMr8f/yvGbkZUEZFRUhMa70FddTM1LwpEimh7GbMm6/pdOO2UflJc10Sa7UC71qztkijTSJvMqfdUrtB0tRUykjEFBBvSUtkFWnAYQCZ+f3B75w9M3NmGGCAAV7Px8PHwjnXOeeaa2nO+1znut7XKQQEBDSwikREREREJKdewXx4eDgKCgpw/fp1AMDIkSPRrl07vP/++/jqq69w+PBhLF++HEVFRRg0aJBbK0xERERERDXqlZpy3LhxOH36NPLy8nDbbbehS5cumD17Nj788EOsX78eAMRUlcwvTkRERETUOOoVzIeHh+ONN96w2vbggw9i4MCByMjIQFlZGXr06IGJEydymA2RB5Eu4sX8/0RERC1fvVeAldO/f3/079/fnaf0eAsWLBCz+Qiio6MRHR3dTDUiciwlJQWFhYVISUlhME9ERNQKuDWYb4vWrFkDf3//5q4GkUt0Oh1SUlKg0WgQExPjcg89e/SJiIg8U4OCeZPJhNOnT+PatWuoqqpyWC4iIqIhlyEiGXq9HklJSQCA2NhYMciOj49Heno6IiMjAUD8ediwYWJALvTQr1q1CgCg1Woxe/Zs5OTkAACioqKsyq9atQpmsxmrVq2SvY6wcjCDfiIioqalsFgslroeZLFYsGnTJmzfvh0VFRVOyykUCnzxxRcNqqQnMhqNmDZtGrZu3cqeeWoWI0aMaO4q1CosLAypqanNXQ0iIiKP4e4Ysl4985988gk+/fRTeHl54Y477kBISAhUKlWDK0NErmkJgTwAsaefiIiIGke9gvldu3bB398fq1evRs+ePd1dJyIiIiIickG9Fo0yGAwYNGgQA3kiIiIiomZUr2D+pptuQnl5ubvrQkREREREdVCvYH7y5Mk4efIkLly44O76EJELMjMzERwcLP5uu9aBq6TnAAAvLy+7bY4olUqnZYODgxEXF1evehEREZFr6jVm/r777sOFCxfwyiuv4LHHHoNGo0GXLl3cXTeUl5dj48aNOHDgAEpLSxEaGgqtVovx48fXemx+fj42btyIvLw8WCwW9O3bF7NmzUJYWJhd2TNnzmDLli04deoUysrK0K1bN0yYMAEPPfQQJ/aSxxJSTEpTTQI1QfTOnTvFckK6SI1Gg+zsbOh0OgCwSiEpTSkp7DMajTAYDAAAtVoNf39/8RzSfVFRUVbpL4V0mUxPSURE1PjqlZoSAH799VesXLkSFy9erLVsfVNTvvzyyzh16hTmzJmDHj16YN++fdi1axdefPFF3HXXXQ6Py8/PR1xcHPr164cpU6YAAD777DOcPXsWiYmJGDBggNXnmD9/Pnr06IGpU6dCrVbjxIkT2Lp1K26//XYsWbJE9hpMTUmexDbnPIA65XuPiYlBYWGh2NNeWFgoBvA6nQ5JSUkwGAxQq9XYs2ePVfAvPEgIDxERERFWZYmIiOh/PCI1ZV5eHl555RWYTCYoFAoEBATA19e3wZWRyszMxNGjR7Fw4UJMmDABADBkyBAUFRVhw4YNGDduHNq1ayd77KZNm9C+fXssXbpU7FnXaDSYO3cuPvzwQ3GhHADYt28fKisr8dJLLyEkJEQsW1xcjLS0NJSVlaFDhw5u/WxE7qbVaq2CdiGgTkpKkg3mbRd30mg0KCoqgkajsVosSjhWeFBwdD1prz4RERE1nXoF8xs2bIDJZMKMGTMwZcqURumZzsjIgJ+fH8aOHWu1feLEiXjjjTeQn5+PgQMHyh6bm5uLESNGWA2R8ff3R3h4ODIyMlBcXIzAwEAANWOEhf1SHTp0gFKpFPcTeZqGrLYq9KanpKRAq9UiOzsbZrMZ2dnZSEhIEIfexMTEQKfTITY21ipgtx2WI2VbloiIiBpPvSLVc+fOoX///pgxY4a76yMqKChAaGioXe977969xf2Ogvmqqip4e3vbbRe2nT9/XgzmIyIi8MUXX+C9996DTqeDWq3G8ePH8c0332Dy5Mm1jpk3Go0ufR5vb2/ZOhHVlzQgF34XAnu5gFoagEvH2wPW4++FcsK4+JSUFOzcudOuJ1567cLCQvGNl22vPRERETWeegXzKpUKnTt3dnddrJSWlspmyggICBD3O3LzzTfj5MmTMJvNYpaP6upq5Ofn2x3bvXt3rF69GomJiZg7d664/f7777f63ZHHH3/cpc8zY8YMzJw506WyRK6QmwAr9LRLA2pXgnOhvF6vx6pVq2A2m6FWqxEcHCzbw277MCAcI1yfiIiImka9gvkRI0YgKyvLYQ94c4uJicHbb7+NdevWYdq0aTCbzdiyZQuKiooAWKfxu3z5Ml577TV06tQJcXFx6NixI/Lz87F161aYTCbMmzfP6bU2bNjg0jAjT2wnatlse8CTkpJgNBoRHx8vZq3RarVioG8bnMsN00lJSREfgmNjY+0Cc+kx0ow5wrEcWkNERNS06pWces6cOfD29sZbb73l8jCTugoICJDtfRe2CT30ciIjIzFnzhzs3bsXOp0OTzzxBC5cuICHHnoIAMQhNgDw0Ucfoby8HK+++iruvPNODBo0CA8//DDmzp2L9PR0/PLLL07r6e/v79I/BvPUmLRaLfz9/WEwGJCeni720uv1ehiNRqjVasTGxlr1yAtBflJSEmJiYqDX66HT6RAcHIxFixbJ9rDbDq+RXl8I7oVzERERUeOrV898SkoKevXqhe+//x4///wz+vTpgy5dukChUNiVVSgUtfZuy+nduzf279+P6upqq3HzBQUFAIBevXo5PV6r1WLKlCn4/fff4efnh6CgILzzzjtQqVTo06ePWO7s2bPo2bOn3dj4vn37AqhJXTl48OA615+oqQlDX6T55FNSUmAwGBAcHGwXnAv7jUajGKDbDr+Rkj4YSMfW2/bsS4f7EBERUeOqVzC/e/du8efr168jOzvbYdn6BvOjRo1CWloaDh06hHHjxlldOzAwEP369av1HN7e3mLQX1RUhAMHDmDSpElWaTS7dOmCgoIClJeXw8/PT9yel5cn7idqCRxNPHWUhUY6Tt7REBnbfPLSBwMhN700cLcdS09ERI41JCsZkaBei0bVNvTEVn17tl9++WWcPn0aOp0OISEh2L9/P9LS0qwWjfrll1+wZMkSTJ8+XcyuU1BQgEOHDqFPnz7w9vbGuXPnoNfrERQUhMTERKug/ccff0RCQoK4wJRarcbJkyeh1+vRtWtXvPXWW7JDZLhoFHmCut4I6rqgk3QxKWmgrtVqER8fL678mpCQ4I6PQ0TUpki/Y23nIVHr5RGLRjXVsJPFixfj448/xqZNm1BaWorQ0FD89a9/xfjx463Kmc1mSJ9JvLy8kJ2djR07dqC8vBzdunXDfffdB61Wazec5o477sDrr78OvV6P5ORkXL9+Hd26dUNUVBSmTp3Kse7k0YSVWaWLQ9n2tNuuDOuM7cOBbQAvfWCQ5qYnIqK649tMcod69cz/3//9H0JCQhAXF9cYdWoR2DNPnkCup13a0wPU5IAHINu7bsu2l8j2wUA6Jl86Nt92H18ZExERyfOInvnffvsNoaGhDb44ETWM3OJQtj09Qs+8be+6EKhLA3DbY+UWhyoqKoLZbAYAqww20n2cAEtERNQ06hXM33TTTU4XbSKipiEXnNvmgHcUVAuBujQAF45LSUlBVlaWVfYaYbtGo0FGRgaMRiP0er3VcBy5fURERNR46pVnPjIyEsePH8eFCxfcXR8iclF8fDxGjhyJ+Ph4AI5zwAv0er1VDnghp3xkZKTVYlLCedLT02EwGODv7y8+NOzcuRMJCQliTnshl73wECFMhBXG8RMREVHjqlfP/P33349ff/0VixcvxiOPPIKRI0eiW7dunCxK1ITS09NhNpuRnp6OYcOG2fWi25IG+1lZWVaZaISAXNobP3r0aHH4je3EWI1Gg6KiImg0GnES7sqVK5u2AYiIiKh+E2CnTJkCALBYLLILRdn64osv6l4zD8cJsNTcpKkhMzIyxImwtuPo5X5etWoVzGYzlEolDh8+LE6kVSgUsFgsUCqV4nkBoLy8HFVVVQAAtVoNoKb3HQCUSqU4ht6VSbZERERtmbtjyHoF808++WSdyv/rX/+q6yU8nvB/RI8ePaBUWo9Wio6ORnR0dDPVjNoSocf8ypUruHHjBgBApVLBZDJBoVDA19cXJpNJDPLXrl2LiooKBAQEiMF4WFgYcnNzxSBeCMydcVROrVbDaDTixo0bCAsLQ2pqqns/MBERUQvnEcE8sWeemt/s2bORk5Pjcnmh170pZWZmNun1iIiIPJ27Y8h6TYAlouYnDeRdGe7WkEDedrE1V4SFhdX7ekREROQatwXzRqMR5eXl7jodEdVCGizXNVD38nI8912lUkGhUCAsLEz8+dZbb7W7tlKpRFRUFKKiosSfhaBfpVJxiA0REVETqFc2G8HPP/+MHTt2IDc3FyaTCQDg6+uL8PBwxMTE4LbbbnNLJYnIXmpqqjhx1cvLSxwzLwT5OTk5CA4OhtFoBACMHj1anNAK1ExgVSqVGDBggNjLHxUVJaaXBICRI0fCYrEgLy8PUVFRVhlwpITfbVeMJSIiosZV72D+gw8+wI4dO8QeQWHMj9FoxM8//4wjR47g/vvvx1NPPeWemhIA2KUIpLZNmrmmLn8Prv4dRUZGWgXwtkG8LekiVkRERNT46jUB9vvvv8fq1avRsWNHTJs2DXfffTfat28PoCaY/+6777B161b88ccfWLhwIcaNG+f2ije35poAGxMTg8LCQgQHB1ut8klEREREns8jJsB++eWX8Pb2xooVKxATEyMG8kBND310dDSWL18OLy8vfPXVVw2uJP2PsGpnXYYx2K78SUREREStQ72C+fPnz2PIkCHo0aOHwzI9evTAkCFDcO7cuXpXjuxptVrs3LnTbiiDELDPnj0bI0eORHx8vLhPuvInERHVDTtEiMiT1SuYr6qqcilVnUqlEleNpMaj1+uxcuVKFBYWIicnB2azGWlpaRgxYgRGjBhRr958IiKqwQ4RIvJk9ZoAGxISguPHj8NkMjkM6k0mE44fP46QkJAGVZDsxcfHIy0tzeXyK1asgFqtbsQaERG1LHVJJqDT6ZiliYg8Vr165seOHYs//vgDy5cvR2Fhod3+S5cuYfny5TAYDK1y8mtzGjt2bJ0CeYHBYMDKlSsboUZERC1PXXrbHQ1vJCLyBPXqmX/ooYfw448/IisrC3/5y1/Qr18/BAUFQaFQ4PLly8jPz4fZbEafPn3w4IMPurvObZqQz78+LBYL9Ho9b0hE1Oaxt52IWot6BfO+vr5ITExEamoq0tPTkZeXh7y8PHG/j48PIiMjMXv2bPj6+rqtsm2dOyZfvfHGGwzmiajN45oIRNRa1HvRKD8/Pzz99NOYM2cOzpw5g+LiYgBAYGAg/vSnP7k0QbY1WLBgAZRK69FK0dHRiI6Odvu13DH5SlgllIiIiIhavnoH8wKVSoXw8HB31KVFWrNmTZMtGqXT6bBixQrZfQqFApMmTcKwYcOQkpICo9EIg8FgVy4sLKyxq0lE5BHcuWI2V98mIk9Vrwmw1Dy0Wi2ioqKgUCigUqkQFxeHzMxMBAcHw2KxIDs7W5yoFRsbi+DgYMTFxVmdIzU1tZlqT0TUNIS88ElJSW5LKbl27VoUFhZi7dq1Da8gEZEbudQz/9lnnzXoIo888kiDjqf/SUhIEHvfBXITuWzHg3KiFxG1FA3tBRcy1ajVars1NsaOHQuTyQQvLy907doVGo0G2dnZ4v86uqaQfMBkMiE+Pl78HrYtzx58ImpqCovFYqmt0AMPPACFQuHSCYXTSct/8cUX9aye5zIasAJsYQAAIABJREFUjZg2bRq2bt3aZMNsBDExMSgsLERwcDB27twJ4H83ELkbUkREBAwGA9RqNfbs2dOkdSWi1ik+Ph7p6emIjIwEAPHnhIQEu7LC91NgYCByc3Ph6+uLCRMmiN9V27dvR05ODsLCwtCzZ08x/a5arUZsbKzT4Fiv12PVqlUwm82y9VQqlQ73uZtSqYSPj48Y+KtUKvj4+CA2NpaBPRGJ3B1DuhTMb9682eVgHgCuXbuGPXv2oLKyEgqFgsG8m8n1/AgBvnDjUqvV8Pf3h06nQ1JSEoN5IqoTvV7vcI6Op1Cr1bJzgzxRZmZmc1eBWhi+5Wm93B1DujTMZubMmS6dzGAw4LPPPsPevXtRWVkJlUqFyZMnN6iC5BphqI3QM280GsWxotKeLSIiV3h6IA+gxQTyRPUhXdiMwTw50+BsNgBQWlqKf//73/jyyy9RUVEBHx8fPPTQQ3j44YfRsWNHd1yCJOT+A7cdI2/7RM8vAiIiopaDC5uRqxoUzJeVlYlBfHl5OXx8fPDAAw9Aq9UyiG9E0l74mJgY2VdwDOCJiDxDVFRUc1eBWiDex8lV9Qrmy8rK8Pnnn2Pnzp0oLy+Hl5cXHnjgATzyyCPo3Lmzu+tINoT/wIVx8nwFR0RUQ6VSiRNQ3S0qKgrp6el1nlArNymYiMhd6pRn/vr169i0aROeeuopbNu2DVVVVYiJicEHH3yAp556ioF8E9PpdFCr1TAajdDr9WJuZb1e39xVI6IWLjMz02mPspeXl91K38HBwU7PWZdECo44W/guODgYnTp1En+Oi4sT/zczM1P8PSoqymp7Zmam1XkVCgXi4uLsjh82bBiCgoLs9sXFxUGtVkOtVsv+TuRuvN+TlEvZbIxGI7744gt88cUXMBqN8Pb2xqRJkzB16lQEBgY2RT09TnNms5GSpqkEYJWykjPhicgdpNmyFi1aBAB23y3S7xthXo/cd5FwrLBKtdx3l2063dq+y+TOL5SVptCsrYdcmuYyODhYrKNQD2fft7b14HcuNSa5FNXUcrg7hnSpZ/7JJ5/EJ598gqqqKkRHRyM5ORlPP/10mw3km5Pt07hOpxMXRdFoNFAqldBoNACsJ8oSEdWX8D2zaNEiaLVa2e8W6Tbp9xIAcSXWpKQku1WqdTqdXXlbwjFarbbOPZLCsJj09HTZ/fHx8Rg5ciTi4+Oh1WqxaNEih3WRfsfK1Vn6OYkaU23/zVDb4tKY+evXr0OhUKC6uhq7du3Crl27XL6AQqFo1a+BFixYAKXS+pkoOjoa0dHRjXI9IWe8cFOUTpBJSUmB2WxGdnY2gJobT1FRkRjcExHVh+1EPLksG9Jtrkzcsy0j/dlZOl3b70DAvuNCOpcoMjLSanErW9Jg37bn3rYe2dnZ4nfssGHDnH4+9tJTY+LkWJJyecy8xWKB2WxGVVVVnf5VVlY2Zv2b3Zo1a5CUlGT1r7ECeVvOeukB6xsPEZG7SHvK5dh+Nwm98LGxsbJlbMvXtSde+t1n+z2YkJCAw4cPIyEhQTxXfHy8eM7IyEgolUox2LdN/Sv9nNJzy72dkH5Ovhkloqbi0ph5stdcY+blxqUK41iFG5+QtjIjIwMAuJQ4ETWIXq8Xh444+j6pbTx5fcu7Ml7fVbYrZctdz9Ue9bqM4+f3LxFJNcuYefIc0p4inU4n3pSE3h8hwE9PT4fBYIC/vz9vJETUICkpKTAYDDAYDA57mp31jksJveMajcal8rbfc7W9FZBew7Y3X7hOZGSkw+u5cn5pOQCy13L1PEREDdVu6dKlS5u7Ei1RVVUV9Ho9pk6dCm9v72apQ1hYGDp37ozMzEz88ccfKCgoQHBwMM6dO4egoCAYjUaMGTMG99xzT7PUj4haBx8fHxw7dgy+vr6YO3euVRpHvV6PRYsWYejQoXj99dcRFhaGsLAw+Pj4ICUlBT4+PmJ5IVtMaWkprl+/jp07d9qVP3HiBN58803xOOF77vTp09DpdE5TUwoWLVqEwsJCHDt2DNu2bbM618yZM3HPPfdY1S8nJweLFi2yu7b080m3yV3r0KFD6Ny5s0v1o5antr8DorpwdwzJYTb11JypKW1f344cORJmsxlKpRJBQUF2r5E1Go3LqdmIiFxlm8pROmRFGNKiVqvh7+/vcGigbXlXh8AAjofbCOWk6S8dDd+RDvORu3ZtKQCdtQG1Hk2ZCtLZEC0O32od3B1Dsme+npqzZ/65557D1atXcezYMcyZMwfnz58Xe+MLCwsBAAEBAaiqqsKYMWPEbA3nzp3D3Llzm7SuRNR6LVq0CKWlpVAqlXj22Weteix9fHxw+vRpVFVV4erVq2LP+unTp/Hss8/aBSJC+TFjxuD69evQ6XRij7nQGyr0gp8+fRpHjx4Vf545c6ZVz6lWq8XMmTPRvn178bq25xKup9PpMHToUKtrazQasYde2Cd9KxAfH4+XXnoJ58+fx/PPP1/nNwfU8ghvp65fv44PP/wQ77//PtatW4f3338fBQUF4htw6d+h7d+cQCjzzTffICEhAe+//z6Sk5NRUFCAN998E4cOHcLVq1dl3/YI9/8DBw5YXZdaFvbMe4jm7JkXFlQRVl80mUxOlzBXq9UwGAwICwtDampqU1aViFo4255AV3vHHR3v6j7AvjfU2bVtF5qq7VzO1FZW+jb08OHDdfpM1DLFx8cjLS3N4X6VSoVOnTqJHWpNSVhZ2WKx8O1QC8EJsITRo0dDqVSiurpaDOAdBfIAYDAYAABnz55tkvoRUethm2LRWepG6QJMAmcTQZ2lb9Tr9TAajVCr1Q2aqCqwXVTPWcpLnU4HtVoNo9Eo7peWt01nKcWFo1ofvV7vNJAHau7BzRHIAzVBvNAv21x1oObl0cF8eXk5kpOTMWfOHDz88MOYN28e9u/f79Kx+fn5eOWVV/Doo49i6tSpWLx4MXJychyWP3HiBJYuXYrp06fjkUcewZ///Gd88skn7voobiP0Dgg5/22p1Wqo1Wqx116qoqKiKapIRK2IbaYZZ5ln5FZbdZZP3jbAlhIy6EgzcjkL/mvLZW+77ob0XHJ57v39/a2y90jLy+Wub82LI7Z1K1asaO4qEDnl0cF8YmIidu/ejenTp2Pp0qXo27cvVq9ejb179zo9Lj8/H3FxcaisrMT8+fOxYMECVFZWYsmSJcjLy7Mrv3fvXixevBjt27fHggUL8Pe//x2PPPIIPHEEkrPegaioKOzZswd79uzBCy+8IL568/LyglKpxKRJk5qqmkTUCriSS10ayMr1WEuDYNtgXBpg2y7oJKSu1Gg04jWkDxKuLDQl9JILn8HRQ4ncQ4KwX7i+NJWmlO2xcg8VRESNyWPHzGdmZmLZsmVYuHAhJkyYIG5/+eWX8euvv+LDDz9Eu3btZI/9+9//jrNnzyI5OVnsoTYajZg7dy569OiBVatWiWWvXr2Kv/zlL7j77rvr9OXbXGPmR4wYIf7s5eUFs9nsMEtNbWNIiYickRs7XtfFoWzHuUsXnwL+N+5dmulGmhnG0fh1R9ul2WWkmXRsF9XLzs6WnQdg+9DiSjYbuQW1OHa+9ZDedx0JCwtz+va/KWVmZjZ3FagWbWbMfEZGBvz8/DB27Fir7RMnTkRxcTHy8/MdHpubm4vBgwdbDTXx9/dHeHg4cnNzUVxcLG7ftWsXTCZTi/myjYqKgkKhgEqlwsKFC8VXvXLYQ0REDSHtnY6IiEBERITdYk/C2HKhR912jDkAscdcOnwlKSnJKtiVLugkHa9uO35dbtEpaS99UlISzGYzFAoFYmNjrcbVSxfVk/amSxeAEj6nXq9HfHw8Ll++DJVKZXcd6eeTfiZhv7MhQdSyyGUoUiqViIuLQ2ZmJjIzM5Gamio+4CoUCqjVasTFxYnHent7IywsTLx/x8XFieWVSiWioqLE3wXe3t7w8vICAPEYYSitsF04Hqjp4GMg3zZ5bM/8woULYTabsWbNGqvtBQUFeO655/Dss8/i3nvvlT32oYcewvjx4zF//nyr7atXr8b+/fuxbNkyDB8+HEDNGPRz585h4cKFSElJQUFBAQICAjB69Gg8/vjjDp+YhKeqDRs2uPRU5e3t3WyLSxERNYTQOw3AYQ+5tEddp9M5zL0ulwPedi0M27eK0t5x4TjpG0dn++Pj48VzDxs2zK5nHrB/OyB8zqKiIqusNXJvJdRqtfjZKisrYTKZoFarMXr0aK7v0Yo4eqsjV0b6tw1Yv72S/g0Jf3PSc82ePRs5OTli9jlHGZwAcH2DFszdPfNetRdpHqWlpXZPqUBN/nRhvyM333wzTp48KX4JA0B1dbXYmy899urVq6ioqMCKFSswdepUzJ07F6dOncKmTZtQUFCAlStXimPP5Tz++OMufZ4ZM2Zg5syZLpUlIvIkOp0Oa9euRUVFBTQajVWAIQQkgYGByMvLg0ajQUpKivj9q9PprALqhIQEaLVacZsQyAsTZ20DX71ej5KSEigUCgQGBuLy5ct29dNoNLh8+TJKSkowYcIEZGRkiMfanlsYVrNv3z6sXLkS7dq1w40bN7By5UpMmjQJJSUlMJlMKCkpEdfuaNeuHfR6PTQaDYqKisQJu0VFRSgvL0dVVRXUajV8fHzEzGK2E26pZRPeLLlSxlkALv0bkjunbfpoaRnhQSAlJUUM3qXnprbLY4P5hoiJicHbb7+NdevWYdq0aTCbzdiyZQuKiooA/O+VFFCT0qmyshKzZ8/G1KlTAQCDBw+Gl5cXkpOTkZ2djaFDhzq8Vl165omIWhJpb2RlZSUsFguys7ORkZEBg8GAN954Q5y3IwSvQtBuNBoBANu3bxfHEqenp4u94yUlJTCbzcjIyEBkZKR4nF6vR2VlJRQKBUJDQ8XeRwBWY5JDQ0MRExMDnU6H7OxsWCwWmEwmMXgHgLVr18LHxwcVFRXiuVNSUnD16lUxG9iNGzcA1NwL9u3bJ2b9kqYarKqqQlJSEvz9/WE2m7F7927xOOFaBoMBUVFR4oNEYGCgVeBPbYc0ALfNctSQhzzbh0lXHjCobfDYMfMBAQGyve/CNqGHXk5kZCTmzJmDvXv3QqfT4YknnsCFCxfw0EMPAaj5kpVeB4A47EZw2223AQDOnDnjtJ7+/v4u/WMwT0QtjZANRkiHC9R8fwprV9y4cUMM4IUAw2w2Y9++fSgrK4PBYLAKwIOCgrBq1SoUFhaKPdgGgwEZGRkwm81IS0vDG2+8AZPJBIvFgpycHPG6tnJzc8V87tLvdGl5k8kknisjIwMrVqxAYWGhbFpfobyjkadGo1G8jhDIA9adQ+np6TAYDOLnFh5WqPXQ6/VW8yoclXE0d8JZRqbazsW3PeSIxwbzvXv3xsWLF1FdXW21vaCgAADQq1cvp8drtVps2rQJ77zzDv71r39h9erVKCsrg0qlQp8+fayuI0f4Qnc2xIaIqDWrrKy02yaXscM2t7zJZBKDamkigsLCQnG79LtVeDgArANlW3LrZxiNRuTm5jr7GHbXqI/q6mrZ60gfHuQePOTakFouYf0D6RoEcmUcpUSVplB1ZZK0s3NxjQMSeGwwP2rUKJSXl+PQoUNW23fv3o3AwED069ev1nN4e3ujV69eCAoKQlFREQ4cOIBJkybB19dXLDNmzBgAwM8//2x1rDAjvH///g39KERErZ6jHnRHq1O7mntBGsBLzyUcX11dbfWdHhUVBZVKBYVC4fCNaHBwsJgVRJibJc0cIggLCxPPJb132JZzxsfHx+Wy5PmE7EqOViYWyghBt7OVim3XMpAG5XJZm2zXUhDecjFjEnnsmPkRI0Zg6NChSEpKgtFoREhICPbv348jR47gxRdfFHPM//LLL1iyZAmmT5+OGTNmAKjpvT906BD69OkDb29vnDt3Dnq9HiEhIZg1a5bVdYYPH46RI0fik08+gcViQf/+/XHq1Cl88sknuP322xEeHt7kn52IyBMIEzpVKpVsUB4cHCy7fLxarZbtCRcy3gA1wXNVVZW4yJQwXt3Ly8tqGEynTp3ESbLChFTAep0NYRy+bYaRiIgIcXKqK9llhCw6CoUCf/vb3xxmK9HpdMjKypLNkiMMqxk9erRVxhxqeo2R69/ZOHXp9VzJLiOcSzqx1TaNKgDZc9lOMqe2zWNTUwJAeXk5Pv74Yxw4cAClpaUIDQ3F1KlTMX78eLHML7/8gsWLF1tli/ntt9/wz3/+E7/++ivKy8vRrVs3jB8/HlqtVvY1bUVFBbZs2YJ9+/bh2rVrCAwMxF133YUZM2Y47NlprkWjiIiailxWDtvUfLaZagRy2x1l+ZAGR7WlAKxLgFbXYI4LPbUutS341VC2fy/OFjKr7W/aduExZxlxakuRSZ7P3TGkRwfznozBPBERkeeqz8NZXY6xDd4dHSu3FoPtw4Wz/PN1XXWZPF+bWQGWiIiIqC4aOinU0aRUufM6m9waHx+PkSNHIj4+3mp1Y0eZbKTncpYBx/aaRIAHj5knIiKitic+Ph67du2Cr68vXnjhBWRlZYm/AxDncXTq1Ak6nU5cy8Db2xsWiwU3btzAihUroFAoYLFYsGLFCqxduxYmk8lqZd/g4GAEBgYiJyfHbl5IYWEhRowYYVc36bh2Z+QWK5MS5mckJSWJY+elZRwtBiU3Zp/Dw4jBPBERETW722+/3SrLkclkwooVK6x+l/5cWFhotd92/QDbcwGwmrBdWFgo/u4o65It6SJg0h502yBauhBaQ9n21NsG7s7qQW0Dh9kQERFRs2sJU/ikCzY5y/uekJCAw4cPW00Kl+6PjY1FcHAwYmNj7fY5G2YjNwxIo9FAqVRyteE2jD3zRERERC4QcsILPeO2Q2PkesiFAN1oNIqLTUnzxcfExFjt0+l0YlpuvV5f6xAcrgxLzGZTT8JM5B49elgt5w0A0dHRiI6ObqaaERERtTxyY9Q9SVhYGIqLi8XMNIsWLao1rSoArFq1CmazGWq1Gv7+/uKDgLDwk9w+IYON7XbbazlL80qei6kpPQRTUxIREbmP7Zh5T6FQKNC9e3e74NxRekhpKkmhx11YiAz4X+At9OQ7ezAQjhdWihXG4WdnZzs8ljwfU1MSERFRq/PTTz8hMzMTUVFRUCqVCAsLE998BwcHIzMzE5mZmYiLi7PaLuRfl5YR/kVFRYnnVyqViIqKQnBwMOLi4hAVFQWFQgGlUgmFQoGoqCjxOOGcSqUSAQEBVsNnFi1aJAbXcmkwNRoNFAoFSkpKYDQaAdTMB8jKysKqVavEcwlj3QcMGICUlBSr8whpLoWx9TqdzipDjk6ng0KhgNlsFhecoraLwTwRERF5DGEMeHFxsWzgLA2oHeVeF/K8A0BcXByCg4OxaNEiJCQkQKPRYNWqVQBqHiCCgoJgsViQnZ0tjmHXaDTiMaNHjxYnmMbHx2PlypUoKSnBvn37UFhYKAbTwrEZGRmwWCwwmUyorq4W6yQE44K0tDSYzWbk5uaisLAQq1atgl6vh16vR0REBCIiIpCVlYUrV65gxYoV6NChAxQKBXx8fJCVldUE/09QS8FhNvXEYTZERETuJ5c3XcjLrlarsWfPnlrLjxw5EmazGUqlEocPH7Yqb7tPerww9EU6hEYYNuOISqXCgQMHxDoK+e2BmrcFwrHSn52dy8fHBwaDQXa/t7e3XQpOYSw/x8y3HBxmQ0RERPT/k0vXGBkZCaVSicjISLvVVqX7AOuVW+XSPLq62mp5eTkA6xSbtnnta2MymcShObYUCoVdIA8AOTk5KCwsxD/+8Q+X6kmtD3vm64k980RERO4nnUAq9I7bZm8RhrYIedqdZXMRzudssqjchFPp5FZnmXaEtwV1mcCrVCqthtwIvfkqlQoVFRWy55H2+DuSmZnp0vWpebFnnoiIiFotuTHw0t7zlJQUGAwGMS+7dJ+j8wnBs7T3HvjfOPekpCSr4TC2k1uFSblRUVFWE3SlCz9NmjRJtoxKpYJCoUBwcDAUCgVUKhU6dOgAoCaoj4uLw9/+9jcEBwfjhRdewKRJk8Ry0gm7tucXCJOBw8LC3NL+1PKwZ76e2DNPRETU9PR6vVXPvKP8665sd5TPXe7tgLs/Q0Nzw7vjHNQ8mGfeQzCYJyIiajzOgnZH5WvLAS93jKPgvy7XJqoLDrMhIiKiVs92OI3tRFa58kKWGlcmrTrr2dZqtfD39xevTeTJGMwTERGRx9HpdFCr1VCr1VZpI6XBtTTAF8baC5Nc5YJ/6Tbb89mWlxu7T+SJOMymnjjMhoiIyL2c9ZbL7XM2tl0uN720vPCAIJzPWS57InfiMBsiIiJqleR63wVyWWvk8sI7Iy1fWxac2ob1EHkKr+auQEu3YMECMS2UIDo6GtHR0c1UIyIiopZJo9GgqKhINjiX65nPzs6G2WxGdna2XfnY2Fir3PR1LS99sOAEWPJkDOYbaM2aNRxmQ0RE5Aa2wbY0gJcLrqVDZeQy0AjlhPMIDwmulDcajVCr1WLOeaaAJE/FMfP1xDHzRERE7mW70qs01aQQuGs0GmRkZACwThspjIcHYDeGXm5svVx5uZVghZ85lp7chWPmiYiIqFWyXelVmmpS2JednW2VslIgzX4jXcFV2suu0+kQHx+PkSNHIjAwEGq1GiqVCkaj0SrDDQBmsqEWg8E8EREReQxh4qlGoxFTTQKwSkEpTVkpBOdZWVnYs2cP9uzZg4yMDBQWFiIpKUnMV+/v7w+tVov09HSYzWbk5eUhNjYWlZWV4oOBMEE2NDRUrE9sbCyCg4MRGxvbXE1C5BTHzBMREZHHSEpKgsFggNFoFIe1CGkjV65ciUmTJqGyshIVFRXIysoSg/P09HQMGzYMKSkpqKysBACUlpZi9OjRMBqNYu97ZGQk0tPTERkZiaSkJJjNZgBASUkJdu3aBYvFgtzcXFgsFqxYsQLBwcEoKipCVlYWx8yTR+KY+XrimHkiIiL3io+PR1paGgBApVIBACoqKuDl5YWqqirZY1QqFSoqKjBw4EAxCPfy8sKNGzes9gvbq6ur4evri1tvvRU5OTmy51QqlWKQL1AoFPjpp5/c9VGpDXN3DMmeeSIiIvII6enp4s/V1dViAO8okAcAk8kEAMjLy4PQPykE8tL90u0mk8lhIA/ALpAHAF9fX1c+AlGT45h5IiIi8ggDBgwQf3YUwCsUCtmf5QJwdwgLC0NwcDBeeOGFRjk/UUOxZ56IiIg8wsWLF2stIx0dLP1ZoVCIv0uH2cgNmbEto1AoMGnSJAA1bwcGDBiA4uJi5panFoHBPBEREXkcabAdFhaGs2fPimPjhaA/NDQUeXl5iIyMREZGBgwGAxQKBRYuXGi1AJSwONTo0aORnZ1ttcqrbcCekJDQhJ+SqOEYzBMREZFHiI2NtVuV1VXSBaekx0lXdrXFXndqDRjMExERkUdwFng35rFELRmD+QZasGABlErrecTR0dGIjo5uphoRERERUVvBYL6B1qxZwzzzRERERNQsmJqSiIiIiKiFYjBPRERERNRCMZgnIiIiImqhGMyTU1VVVdi8ebPTpbTJdWxP92J7uhfb033Ylu7F9nQvtqd7NXd7Mpgnp6qqqrBlyxb+B+8mbE/3Ynu6F9vTfdiW7sX2dC+2p3s1d3symCciIiIiaqEYzBMRERERtVAenWe+vLwcGzduxIEDB1BaWorQ0FBotVqMHz++1mPz8/OxceNG5OXlwWKxoG/fvpg1axbCwsKcHpeWloZ33nkHKpUK27Ztc9dHISIiIiJyO4/umU9MTMTu3bsxffp0LF26FH379sXq1auxd+9ep8fl5+cjLi4OlZWVmD9/PhYsWIDKykosWbIEeXl5Do+7evUqNmzYgMDAQDd/EnlffvllizhnY2gpn53t6fnnbAwt5bOzPT3/nO7WUj53S2hLoOV8dran55+zOXlsMJ+ZmYmjR4/imWeewX333YchQ4bg+eefx9ChQ7FhwwZUV1c7PHbTpk1o3749li5ditGjR2P06NF49dVX4efnhw8//NDhce+++y7Cw8MxdOjQxvhIdtryH2hL+exsT88/Z2NoKZ+d7en553S3lvK5W0JbAi3ns7M9Pf+czcljg/mMjAz4+flh7NixVtsnTpyI4uJi5OfnOzw2NzcXgwcPhkqlErf5+/sjPDwcubm5KC4utjvmu+++w/Hjx/HMM8+470MQERERETUijx0zX1BQgNDQULRr185qe+/evcX9AwcOlD22qqoK3t7edtuFbefPn7caSlNSUoLk5GTMmTMHXbt2rVM9jUajS+W8vb1l60REREREVF8eG8yXlpYiODjYbntAQIC435Gbb74ZJ0+ehNlshlJZ8/Khurpa7M23Pfa9995DaGgoJk+eXOd6Pv744y6VmzFjBmbOnFnn8xMREREROeKxwXxDxMTE4O2338a6deswbdo0mM1mbNmyBUVFRQAgBvgAcPDgQRw+fBhvvfUWFAqFy9ewWCwAgKSkJPj5+dVa3tvb264X32w2u9yz7yp3n1M4l6fXs6Wck+3J9vTkc7I93XdOtiX/Nj35nGzP5m1PoZwQSzaUwuKuM7nZwoULYTabsWbNGqvtBQUFeO655/Dss8/i3nvvdXi8Xq/Hp59+ivLycgDAgAEDEB4ejs8++wwrVqxAeHg4ysvL8ec//xl33XUXpk2bJh773nvv4fDhw9iwYQO8vLysxt4Lrly54nKvPBERERGR1IYNG+o8vFuOx/bM9+7dG/v370d1dbXVuPmCggIAQK9evZwer9VqMWXKFPz+++/w8/NDUFCQmD++T58+AACDwYCSkhJ8/vnn+Pzzz+3OMWPGDNxxxx1YsmSJ3b7AwEBs2LABfn5+derRJyIiIqK2y2KxoLy83G2p0D02mB81ahTS0tJw6NAhjBs3Tty+e/duBAYGol+/frWew9vbWwz6i4qKcODAAUyaNAm+vr4xSxjhAAAf7UlEQVQAgM6dOyMxMdHuOL1ej+PHj2Pp0qVQq9Wy51YqlW55miIiIiKitqV9+/ZuO5fHBvMjRozA0KFDkZSUBKPRiJCQEOzfvx9HjhzBiy++KPbW//LLL1iyZAmmT5+OGTNmAKjpvT906BD69OkDb29vnDt3Dnq9HiEhIZg1a5Z4DR8fHwwePNju2t9++y2USqXsPiIiIiIiT+GxwTwALF68GB9//DE2bdqE0tJShIaG4q9//SvGjx9vVc5sNltNIvDy8kJ2djZ27NiB8vJydOvWDffddx+0Wq3s+HciIiIiopbIYyfAEhERERGRcx7dM0/ulZ2djb179yI3NxdXrlxB+/bt0bdvX0yfPl2cFCwoLy/Hxo0bceDAAfGtiFartXsrUteyrVlaWpo4yXrbtm1W+9ierjlx4gS2bduGvLw8VFVVoUuXLoiIiMD06dPFMmxL15w5cwZbtmzBqVOnUFZWhm7dumHChAl46KGHrN5Qsj2tGY1GbN26FWfPnsXZs2dhMBgcrhPSGG3X2trY1fasy/0JaJvtWZe/TSln9yagbbYlUPf2dOX+BDRPezKYb0O+/vprlJaW4oEHHkDPnj1hMBjwn//8BwsXLsSyZcug0WjEsomJiTh16hTmzJmDHj16YN++fVi9ejXMZjPuuusuq/PWpWxrdfXqVWzYsAGBgYGyeWbZnrXbu3cv3nzzTYwdOxYLFiyASqXCpUuXUFxcbFWObVm7X3/9FYsWLUKPHj3w1FNPQa1W48SJE/jkk09w5swZqwxdbE9rpaWlSEtLQ+/evTFq1Cjs2rXLYdnGaLvW1sautmdd7k9A22zPuvxtCmq7NwFtsy2BurWnq/cnoJna00JtxrVr1+y2GY1Gy6xZsyzx8fHitp9++skSExNj2bt3r1XZJUuWWGbPnm25ceNGvcq2ZsuWLbO8+uqrljVr1li0Wq3VPrZn7a5cuWLRarWWd99912k5tqVrUlNTLTExMZbff//davs///lPS0xMjKW0tNRisbA95ZjNZovZbLZYLBZLSUmJJSYmxrJp0ya7co3Rdq2xjV1tT1fvTxZL221PV9tSytm9yWJpu21psbjenq7enyyW5mtPZe3hPrUWnTp1stvm5+eHm2++GVeuXBG3ZWRkwM/PD2PHjrUqO3HiRBQXFyM/P79eZVur7777DsePH8czzzwju5/tWbtdu3bBZDJBq9U6Lce2dI2XV81LV39/f6vtHTp0gFKpFPezPe0pFAqX1g5pjLZrjW3sanu6en8C2m57utqWgtruTUDbbUvA9fZ09f4ENF97Mphv465fv44zZ87g5ptvFrcVFBQgNDTUarEuoGYhL2F/fcq2RiUlJUhOTsacOXMcrjvA9qzd8ePHERAQgIsXL2LevHmYMmUKZs2ahXfffdfq1TDb0jURERFo37493nvvPRQWFsJoNOLw4cP45ptvMHnyZHHMPNuz/hqj7djG1uTuTwDb0xWu3JsAtqUrXL0/Ac3Xngzm27h169bBZDLh0UcfFbeVlpYiICDArqywrbS0tF5lW6P33nsPoaGhmDx5ssMybM/aXb16FRUVFVixYgXGjRuH119/HQ8//DD27NmDpUuXiqln2Zau6d69O1avXo2CggLMnTsX06ZNw2uvvYaIiAj8+c9/FsuxPeuvMdqObWxN7v4EsD1d4cq9CWBbusLV+xPQfO3JCbBt2MaNG7F37148/fTTstkCyLmDBw/i8OHDeOutt+r06pPsWSwWVFZWYvbs2Zg6dSoAYPDgwfDy8kJycjKys7MxdOjQZq5ly3H58mW89tpr6NSpE+Li4tCxY0fk5+dj69atMJlMmDdvXnNXkcgp3p/qj/cm92oJ9yf2zLdRW7ZswdatW/HYY48hJibGal9AQIDsU6GwTfo0WZeyrUl5eTnWrVuHmJgYBAYGoqysDGVlZbhx4wYAoKysDCaTCQDb0xXC5xo+fLjV9ttuuw1ATZpFoRzbsnYfffQRysvL8eqrr+LOO+/EoEGD8PDDD2Pu3LlIT0/HL7/8AoDt2RCN0XZs4xrO7k8A29OZutybALalK1y9Pwllm6M9Gcy3QVu2bMHmzZsxc+ZMu9eXQM2YrYsXL6K6utpquzCGq1evXvUq25oYDAaUlJTg888/x4wZM8R/+/fvh8lkwowZM/DGG28AYHu6QhgnaEt4fSn0LrEtXXP27Fn07NnTbsXrvn37AqhJXQmwPRuiMdqObVz7/QlgezpTl3sTwLZ0hav3J6Fsc7Qng/k25pNPPsHmzZsxbdo0zJgxQ7bMqFGjUF5ejkOHDllt3717NwIDA9GvX796lW1NOnfujMTERLt/w4cPh4+PDxITE/HYY48BYHu6YsyYMQCAn3/+2Wp7ZmYmAKB///4A2Jau6tKlC3799VeUl5dbbc/LyxP3A2zPhmiMtmvrbezK/QlgezpTl3sTwLZ0hav3J6D52rPd0qVLl9bpCGqx/vOf/yA1NRXDhw9HVFQUrly5YvVPmPF+0003ITc3F2lpaQgICIDRaMS2bdtw4MABxMbG4tZbbxXPWZeyrUm7du3QvXt3u39Hjx7FxYsX8dxzz4mp1tietQsJCcGZM2fw7bffAgBu3LiB77//Hps3b8bw4cPFcYpsS9d06NAB3377LY4dOwY/Pz+UlJRg//792LRpE0JCQvDEE0+gXbt2bE8HMjMzce7cORQUFODHH39Ex44doVAocOHCBQQFBcHLy6tR2q61trEr7enq/Qlo2+1ZW1v6+vq6fG8C2nZbAq79bbp6fwKarz0VFuk0XGrVXnrpJRw/ftzh/h07dog/l5eX4+OPP7ZaZnjq1KkOlyl3tWxr9+abb+LQoUN2S2azPWtXUVGBLVu2YN++fbh27RoCAwNx1113YcaMGfD29hbLsS1dc+zYMej1epw/fx7Xr19Ht27dcPvtt2Pq1KlQq9ViObanvSeffBJFRUWy+z744AN0794dQOO0XWtsY1fasy73J6Dttqerf5u2HN2bgLbbloDr7enq/QlonvZkME9ERERE1EJxzDwRERERUQvFYJ6IiIiIqIViME9ERERE1EIxmCciIiIiaqEYzBMRERERtVAM5omIiIiIWigG80RERERELZRXc1eAiDzL/fffX6fyQUFB+Ne//oXLly/jqaeewqBBg7B8+fJGqp3nuHDhAn788UdkZWXh999/R0lJCTp06ICBAwdiypQpCA8Pd+k8x48fx+LFi2GxWHDvvffi2WeftStT24I6S5cuxW233VbrtZYsWYLs7GwAQGpqKjp37mxXprKyEp9//jm+//57XLp0CWazGV27dsVtt92GRx991O6YoqIi7NixA6dOnUJhYSEMBoO4uuyYMWMwZcoUqFQqq2Oqq6uxdetWnDp1ChcuXIDBYMCNGzfQtWtXDBs2DI888giCgoJq/TyCzZs3Y8uWLeLvt9xyC95++23xd+Fv05aXlxe6dOmCoUOHYurUqbIL7giLyjhakCc5ORnbt29Hp06d8Prrr6NXr1745ZdfsHjxYrv/FoTtUj4+PvD390f37t3Rr18/jB8/HgMGDHD5s7tCuG5ERATmz5/v1nO70xdffIEPPvhA/F34biEi5xjME5GViIgIu225ubm4dOkSbrnlFtxyyy1W+6SribYlL7/8Mq5evQp/f3/069cPAwYMwIULF5CRkYEffvgBTz75JKZMmeL0HFVVVXjnnXdcvuaYMWPsAmMA6NKlS63Hfvvtt8jOzoZCoYCjtQIrKyvx0ksvIT8/HwEBARg8eDC8vb2Rn5+PnTt34uDBg1i9erVVUHv+/Hl8/vnn6Ny5M0JDQxEeHo6ysjKcPHkSGzduxIEDB7B8+XJ06NDB6jpbtmyBn58fevfujT59+uDGjRs4e/YsvvrqK+zbtw+vv/46+vTp43LbAMDAgQMREhKCbt26ye5XqVQYM2aM+LvBYMDp06eRlpaGAwcOYOXKlejVq5fL13v//fexY8cOdOrUCQkJCbj55ptdOq5Tp04YPnw4AMBsNqO0tBTnzp3DyZMnsWPHDgwbNgzz58+XfdhqzXr27Cl+/+zZs6eZa0PUcjCYJyIrcj13b775Ji5duoRRo0Zh5syZssd16dIFSUlJ8PX1bewqeoSePXvi8ccfx5gxY6yW8/7666+RlJSEDz/8EMOGDXMa4G3duhW///47IiMjsWvXrlqv+cQTTzhcrt2ZP/74Q6zPb7/95nD58m+++Qb5+fno378/Xn31Vfj7+wOoeej4xz/+gYMHD2Lz5s1WfyN9+vTBO++8YxcEG41GJCYmIjs7G3q9HjqdTtzn4+ODlStXon///mjXrp24vbq6Gps2bcK2bduwbt06vPHGG3X6nJMmTcLEiRMd7ler1XZ/3yaTCa+//jqys7ORmpqKl19+2aVrrV+/Hjt37kTnzp2RkJCAnj17ulzP0NBQ2f/OTpw4gffffx9ZWVlYvHgx/vGPf4j/H7QFw4cPFx9yGMwTuY5j5onILby8vNCzZ886DY9oyV577TVMmDDBKpAHgPvuuw/Dhg2D2WzGwYMHHR7/66+/4rPPPkNkZCQGDhzYqHVNTk5GRUUFnnnmGaflTpw4AQCYMmWKVRDp7e2NRx99FABw6tQpq2MCAwNle7P9/f3FB79jx45Z7WvXrh3CwsKsAnlh+//7f/8PPj4+OHnyJEwmk4ufsP5UKhWmTp0K4H+f3xmLxYL33nsPO3fuRGBgIBITE+sUyDsTHh6OlStXonfv3rh48SI2b97slvMSUevGnnkicgtHY+a//fZbvPXWW5gxYwbuvvtufPTRRzh27Bhu3LiBgQMH4sknn8TNN9+M6upqfPbZZ9i9ezf++9//omvXrpgyZQqio6MdXm/btm3IyspCcXEx/P39MWjQIEyfPt1uKFBTu+WWW5CVlYWrV6/K7rdYLHjnnXfQvn176HQ6/Pjjj41WlyNHjmDfvn2YNWsWQkJCnJa1fTCRIx0uUxulsqa/yMurbrcahUIBpVJpF+w3lk6dOgGoeTPgjBDIf/311+jSpQsSExNx0003ubUuKpUKTz31FJYsWYK0tDTMnj0bPj4+Lh17+fJlpKamIisrC1VVVejduzceffRR2aFZAFBcXIzvvvsOP/30Ey5dugSDwSDO+9BqtejXr59YtqqqCnPmzEFFRQVSU1PRvn17u/MJY/M1Gg1ef/11ADVt9v333+Orr77Cb7/9huvXr6Njx47o0aMHRo8e7fC/byJyHXvmiahJXL58GS+++CLOnDmDQYMGoXv37jhy5AgWL16Ma9euYfny5dDr9ejevTsGDx6M//73v1i3bh3S0tLsznXixAnMmzcPaWlpUKlUuOOOO3DTTTchIyMDCxcutOsJbmqFhYUA4HDM81dffYXc3Fw88cQTCAgIcPm86enpSEpKwrp167B9+3aHw2UEJpMJ7777LkJDQ/Hwww/Xev6hQ4cCqJmIaDQaxe1VVVX49NNPAQD33HOPS3U1mUziMa5MzgVqAj+9Xo+KigoMGTLEpYcLdzhz5gyAmuEvzuqWlJSEr7/+Gl27dsXy5cvdHsgLNBoNOnbsCJPJZPcmxJFLly5h4cKF2L9/P9RqNUaOHAmLxYLXXnsN33//vewxP/74I1JSUlBcXIzevXvjjjvuQGBgIDIyMvC3v/0NR44cEct6e3vjnnvuQWVlJfbu3St7PmGoWFRUlLjto48+wurVq3H27Fn86U9/wujRoxESEoJz587h3//+t4stQkTOsGeeiJrEnj178OCDD+Lxxx+HUqmExWLBW2+9hd27dyM+Ph5KpRJJSUno2rUrACA7OxtLlizBp59+ahUcGI1GrFy5EpWVlYiLi8Odd94p7jt69CiWLVuGNWvWIDk5ucmCQalLly7hp59+AgDccccddvuvXr2K1NRUDBkyRHaysTNbt261+n3Dhg2YNm0apk+fLlt+06ZNKCoqQmJiokttcffddyMzMxMHDx7EU089hQEDBsDLywv5+fkoLy/HY489ZvX/hVRZWRmSk5MB1EwsPXnyJEpLS3HHHXfgwQcfdHjNlJQUXLt2DeXl5Th//jwuXbqE0NBQ2aw+7mYwGHD8+HFs2LABCoUCWq3WYdn169cjMzMT3bp1Q2JiIoKDgxu1brfccguOHj2KCxcuuJQZ6b333kNJSQkmT56Mp59+WnwrkpaW5nCS9cCBA/H222/bvck6cuQIXnvtNaxbtw7r16+HQqEAANx77734/PPPsWvXLrse9bKyMhw6dAgBAQEYNWoUgJqJztu3b0dQUBDWrl1r9eBaXV2N3Nxc1xuEiBxiME9ETSIkJAQ6nU4MMhQKBR588EHs3r0bFy5cQEJCghjIAzW9k7feeivOnj2Ly5cvixM/09PTce3aNUydOtUqkAdqepYnT56M7du346effrLKXNIUqqursXbtWlRVVWHcuHGy2VjWrVuHysrKWsevS4WHh2PSpEkYOHAgOnfujCtXruDgwYPYunUrNm3aBH9/fzzwwANWx5w+fRrbt29HREQEBg8e7NJ12rVrh7/+9a8ICgrCf/7zH/GhRKhDWFiYw2NNJpPdpMU777wTf/nLX5xOij506BAuXbok/t6rVy+8+OKLjRIsFxUVyaZeDQkJwfz588XJl3IyMzMBALGxsY0eyAP/yxJVVlZWa9lLly4hKysLHTp0EB+WBVFRUdi9e7ds4Ny7d2/Z8w0fPhxjx47F3r17UVBQIJbr0aMHhgwZgmPHjuH06dNWf9979+5FZWUlJk+eLD44Go1GVFVV4ZZbbrF7A9WuXTsMGjSo1s9GRLXjMBsiahKDBg2yGwMtBEVeXl6yN3ZhjPe1a9fEbUePHgUAsffPlhBwujo8wZ3Wr1+PnJwcBAcHywbrhw4dwg8//ACtVut0SIetWbNm4e6770ZwcDB8fX3Ro0cPPProo4iPjwdQk2e9oqJCLF9dXS2OyX/iiSdcvk5ZWRmWLFmCr776CnPnzkVKSgq2bNmC+Ph4XL58GUuWLEFGRobssV27dsWOHTuwfft2fPjhh5g3bx5ycnLw/PPP4/Tp0w6vKaR33LhxI5YtWwZvb2/Mnz8fu3fvdrnerlKpVIiIiBD/jR07Fn/6059w6dIlfPDBBygoKHB4rDBJ+Z///Kc4jKoxCelDhV5xZ4RAfcSIEbLj48eNG+fw2KqqKvzwww9ITU3FO++8gzfffBNvvvkmzp8/DwD4/fffrcrfe++9AGA3/E34fdKkSeK2Tp06oWvXrsjMzMS///1vh3NIiKhh2DNPRE1CLhe6EHh07tzZqjdRIPToVlVVidsuX74MAHjxxRedXs9gMNRap7S0NOTk5FhtU6vVePLJJ2s91taWLVvw9ddfo1OnTli2bJldT6TRaMT69etx0003idlTGmr48OHo06cPTp8+jZMnT2LIkCEAgO3bt+PMmTOYN28eOnbs6PL5kpOTcfz4ccydO9eqp3/UqFHo0qULFi5ciOTkZIwcOdLh5FSFQoFu3bohMjISvXv3xsKFC/HWW2/h7bffdhqYduzYEcOHD0f//v3x/PPPIykpCUOGDHGYM74+5FJTAjXDSl599VXEx8dj/fr1spM7/+///g/Jycn4+eefER8fj1WrVrmU37++hL9fVyYcC0Gyo7ZytP38+fN47bXXnM69KC8vt/p99OjR6NSpE/bt24cnn3wSKpUK+fn5OH/+PMLCwuwy+7zwwgtYvXo1NmzYgA0bNqB79+4IDw/HhAkTnL4JISLXMZgnoibhLJBzpfdRYDabAdQM4XA2fEOaicORnJwcu6EhQUFBdQ7mv/zyS2zevBnt27fHsmXLZCdGnjlzBsXFxQgKCsLf//53q33Cm4fDhw/j4sWLCAkJwbx581y69k033YTTp0+juLhY3Hb48GEoFArs3r3b7vMJ10pMTISXlxdmzZqF8PBwVFdXY//+/QBgN3wJAPr27Yvu3bvj0qVLKCwsRI8ePWqtW9++fdGjRw+cP38ely9fdml4Svv27XH77bfjq6++wtGjRxEZGVnrMQ01fPhwjBo1CgcPHsSePXtkh+J4eXnhpZdewtKlS3H8+HEsWbIEK1asqNPDUl2cO3cOAFxeiKquLBYLVq5ciaKiItx3332477770L17d/j5+UGhUCA1NRXbtm2zW2DMy8sLEydOhF6vx4EDBzBx4kTZia8CjUaD999/H4cPH8aRI0dw/Phx7NmzB3v27MHYsWPxt7/9rVE+H1FbwmCeiFqUrl274rfffsO0adManIJy/vz5DV7efu/evVi/fj18fX3xyiuv4NZbb3VavqioyGFPaHFxMYqLi3H9+nWXry+Mqfbz87PabrFYnOZNz8vLA/C/HuA//vgDN27ckD2XQNheWlrqcv2Esd9//PGHy2PNpcc0FWFOxm+//eawjK+vL15++WW8/PLLyM/PxyuvvILExETZnvyGOHr0KAwGA/z8/FxaBTcwMBAA8N///ld2v9z2ixcv4uLFi+jTpw9iY2Pt9jsbShQVFYXPPvsMaWlpuPPOO7F//360b99e9iEQqFlz4K677sJdd90FoOZvb+XKlThw4ADuuecejBgxoraPSEROMJgnohZFo9EgOzsbP/zwQ7Pnk8/MzMTatWvRrl07LF682OkE0cGDB2PHjv+vvfsJafKP4wD+TrdlW6O2zLlholm5LPojWUwiiP7oXF0i8GIQrUNFUV3U7FKmhyioJdEugkq0gwTRX5Jdig4Ka8l0zT9zVgoxm5m63Jphv4PsQXPmTPvJ6v266fa478Pj4b3n+Xw/n0cRXwv34s/Pz59VF5fBwUGhTCgjI0P4/cQ+/z8zGo3o6+tDXV3dpNaZcrkcIpEI379/h9vtFkp2wkZGRoSgG+1gsJGREXg8HixatGhWk2tbW1sBYMa++PMpHF6n68keJpVKcenSJZSVlcHj8eDy5csoLy+f8bhoBYNBVFdXAxgfQBZNF6JwPb/NZkMwGJyylkitKcNfAiduOp/4WnhvSiTJycnYunUr7HY77t69i0AgAIPBEPX0Z61Wi927d6O+vh7v379nmCeaI26AJaKYotfrsWzZMtTX18NqtU4pAwh3VfH5fH90HW/fvhVCc3Fx8R+r/21ra4PD4Zhynl6vF5WVlQgGg9ixY0fEUDYbYrFY6AdfXV09qWwnFArhzp07+PbtG9avXy/cCQbGS4zCJSET9ff349q1awgEAti2bZswmAkY729us9kiXru6ujq0trZCoVD8bzXVdrsdjY2NAKLriS+Xy1FeXg6NRgOXy4XKyspJ+zp+l9PpRElJCd69e4fU1FQUFhZGdZxGo8HmzZvh9/tRW1srlKIB418UI3WyUavViIuLg8PhmLTJNRQK4fbt2zM+fQlvhH348CGAyRtfw/r6+mC1WqdM8h0dHRVmQcznngiifxXvzBNRTFm6dCnKyspQUVEBk8kEi8WC1NRUiMVifPr0Cb29vQgGgzCZTHMOuL9SXl6OUCgElUqFxsZGIQxOlJWVNW1f9mj19vbCZDJBqVRCo9EIrSm7uroQCoWQmpqK06dPz+kzwoxGI9rb2+HxeHDixAlotVpIJBJ0dnbi8+fPkMvlU54cvHr1CmazGatWrUJKSgpEIhF8Ph/cbjdGR0cjrq+rqwsWiwVKpRKrV6+GTCbDwMAAuru7MTw8DJlMhpKSkmnLfX7X0NAQbty4IfwcCoXw8eNHYWhUQUFB1G08FQoFrly5gtLSUjQ3N+Pq1au4cOHCpI3BkTZ1A+PXNLyOsbEx+P1+dHd3CxtZs7Ozce7cOUil0qjP7dSpUyguLsbjx4/x5s0bZGRkwOv1oqOjA3q9Hs+ePZv0/uXLl2Pfvn14/vw5zpw5g02bNmHx4sVwOp0YGxvDnj17ftlRaPv27VixYgX6+/uxdu3aiOVlfr8fJpMJZrMZa9asQWJiIoLBINra2jA4OIh169ZBp9NFfY5EFBnDPBHFnKysLFRVVeHBgwew2WxwOByIj4+HUqlETk4OdDrdlK4a8y1c1+71eoUOO5HMNcxnZmZCr9ejo6MDPT09cLlcSEhIQHp6Onbu3Am9Xh91ecNM1Go1bt26hfv37+P169dwOp348eMHEhMTYTAYcPjw4SlfkA4dOgS1Wo22tja0tLQgEAhAKpUiMzMTubm5yMvLg0QimXSMTqdDIBCA0+mE2+3G8PAwJBIJ1Go18vPzceDAgUl3/+fLz73w4+LiIJfLkZ2djby8vFnPJUhKSkJFRQVKS0vR1NSEmzdv4vz58wiFQgAw7XX58uWLsA6xWAyZTAaVSoXc3Fzs2rULWq121uem0Whw/fp11NbWorm5GU1NTUhLS8PFixchlUqnhHkAOHnyJFJSUtDQ0ACHwwGpVIotW7bgyJEjsFqtv/y8+Ph4bNiwAS9fvpz2fzw5ORnHjh2Dw+HAhw8f0NnZiYSEBKhUKhQWFmL//v0LMtiN6G+z6MfPzzmJiIhiyL1792CxWHD27Fns3bt3oZeDJ0+ewGw2o6CgYFbDwWJJMBjE0aNHMTY2hpqamlk9RYjGwYMHkZSUJOwfIKLp8c48ERH9FRoaGtDS0oKVK1eiqKhoQdYQCASE8pRoS3Zi0dOnT/H161cYDIZ5C/J2ux0vXryYl79F9C9hmCcior+Cy+WCy+VCenr6/x7mnU4nHj16hPb2dvh8PqSnp087pThWDQ0NoaamBgMDA7Db7ViyZMm8DUADgJ6enilzEYhoZiyzISIimiOr1YqqqiooFArk5OSgqKjojw2UWiherxfHjx+HSCRCWloajEYjNm7cuNDLIvrnMcwTEREREcUo9pknIiIiIopRDPNERERERDGKYZ6IiIiIKEYxzBMRERERxSiGeSIiIiKiGMUwT0REREQUoxjmiYiIiIhiFMM8EREREVGMYpgnIiIiIopR/wGnTA8Pn/X+uwAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc.scatter();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Unfortunately, as the light fell on difference pixels in each quarter and the spacecraft changed temperature during observation, these light curves all have difference offsets. We can remove them by normalizing each light curve before we append it. We can do this with the lightkurve function `normalize`." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "%%capture\n", "lc = KeplerLightCurveFile.from_archive(target, quarter=1).PDCSAP_FLUX.normalize()\n", "for q in range(2,8):\n", " lc = lc.append(KeplerLightCurveFile.from_archive(target, quarter=q).PDCSAP_FLUX.normalize())" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc.scatter();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that the light curves are normalized they don't have significant offsets. However, there are clear long term trends in some of the early quarters of the data. We can remove this using lightkurve's `flatten` method before appending each object." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "%%capture\n", "lc = KeplerLightCurveFile.from_archive(target, quarter=1).PDCSAP_FLUX.normalize().flatten(window_length=401)\n", "for q in range(2,8):\n", " lc = lc.append(KeplerLightCurveFile.from_archive(target, quarter=q).PDCSAP_FLUX.normalize().flatten(window_length=401))" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc.scatter();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now all of the light curves stitch together with no visible join. We can use the `fold` and `bin` methods to form a planet transit out of all of the data for Kepler-8b." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAvQAAAFwCAYAAADXFe9FAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAPYQAAD2EBqD+naQAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJzs3X98VNWd//H3hCRMgokQBYJESLcgEMqPKm21FVgRgpoIpY5NoFTDVm2Xb9cfgJAC7dJugz9wqT8wsotrohAjMtQitAosiJgGVyI1Qk0MKsQqSyOmmsAk5MfM9w/2TmeSSTJzM5Nkktfz8eChuffcez733sm9nzk59xyLy+VyCQAAAEBYiujuAAAAAACYR0IPAAAAhDESegAAACCMkdADAAAAYYyEHgAAAAhjJPQAAABAGCOhBwAAAMIYCT0AAAAQxiK7O4Dezul0qrq6WjExMbJYLN0dDgAAAMKEy+VSXV2dEhISFBHRdjs8CX2IVVdXa9GiRd0dBgAAAMJUXl6eLr300jbXk9CHWExMjKQLFyI2NrabowEAAEC4cDgcWrRokTufbAsJfYgZ3WxiY2NJ6AEAABCwjrpt81IsAAAAEMZI6AEAAIAwRkIPAAAAhDESegAAACCMkdADAAAAYYyEHgAAAAhjJPQAAABAGGMc+i6yZMmSVlP2pqWlKS0trZsiAgAAQG9AQt9F1q9fz8RSAAAACDq63AAAAABhjIQeAAAACGMk9AAAAEAYI6EHAAAAwhgJPQAAABDGSOgBAACAMEZCDwAAAIQxEnoAAAAgjDGxVBdhplgAAACEAgl9F2GmWAAAAIQCXW4AAACAMEZCDwAAAIQxEnoAAAAgjPXYPvQOh0Nbt27VRx99pI8++kg1NTWaP3++FixY4Nf2dXV12rJli4qKilRbW6ukpCTZbDZNmzbNdNnS0lIdOHBAZWVlOnPmjAYMGKDRo0crMzNTo0aNCspxAwAAAIHosQl9bW2tdu/ereTkZF199dXas2dPQNuvXbtWx48f1+23367hw4fr9ddf17p16+R0OvWP//iPpsq+8sorqq2t1Zw5c3T55ZerpqZGL730kpYtW6Zf/vKXmjRpUhCOHAAAAPBfj03ohwwZosLCQlksFn355ZcBJfQlJSV65513tGzZMk2fPl2SNHHiRFVVVSkvL09Tp05Vv379Ai77k5/8RAMHDvSq68orr9Rdd92lbdu2kdADAACgy/XYPvQWi0UWi8XUtocOHVJMTIyuvfZar+UzZ85UdXW1KioqTJVtmcxLUkxMjEaMGKEzZ86YihUAAADojB6b0HdGZWWlkpKS3C3rhuTkZPd6M2V9OXfunD788EONGDGi3XIOh8Ovf42NjX4eJQAAANCDu9x0Rm1trRITE1stj4uLc683U9aXjRs3qr6+Xt///vfbLbdo0aIO45YU0Iu/AAAAQK9M6LvKli1bdODAAf34xz/ucJSbvLw8v2aKjYqKClZ4AAAA6AN6ZUIfFxfns2XdWGa0vgda1lNhYaG2bt2qH/7wh0pPT+8wptjYWL8SegAAACAQvbIPfXJysj755BM1Nzd7LTf6w48cOdJUWUNhYaGef/55LViwoMOuNgAAAEAo9cqE/uqrr1ZdXZ2Ki4u9lu/bt08JCQm64oorTJWVpBdeeEHPP/+8MjIyNH/+/NAdBAAAAOCHHt3lpqSkROfPn1ddXZ0k6eOPP9Yf//hHSdJVV10lq9Wqo0ePavXq1crMzHQn2FOmTNHkyZOVm5srh8OhYcOG6eDBgzpy5IiWLl3qNaJNIGVfeuklFRQU6Morr9SUKVNUXl7uFe/YsWNDfUoAAAAALz06oX/qqadUVVXl/vmPf/yjO6F/+umnZbVaJUlOp1Mul8tr25UrV2rz5s0qKChQbW2tkpKSdP/992vatGmt6vG37FtvvSVJOnLkiI4cOdJqPzt37uzcAQMAAAABsrhaZsIIKofDoYyMDG3dupWXYgEAAOA3f/PIXtmHHgAAAOgrSOgBAACAMNaj+9D3JkuWLFFEhPf3p7S0NKWlpXVTRAAAAOgNSOi7yPr16+lDDwAAgKCjyw0AAAAQxkjoAQAAgDBGQg8AAACEMRJ6AAAQUna7Xenp6bLb7d0dCtArkdADAICQys/P1+nTp5Wfn9/doQC9Egk9AAAIqaysLCUmJiorK6u7QwF6JYatBAAAIWWz2WSz2bo7DKDXooUeAAAACGO00HcRZooFAABAKJDQdxFmigUAAL7Y7Xbl5+crKyuLrkkwhS43AAAA3YhRgNBZJPQAAADdiFGA0Fl0uQEAAOhGjAKEzqKFHgAAAAhjJPQAAABAGCOhBwAAAMIYCT0AAAAQxkjoAQAAgDDGKDddhJliex8mAgEAAD0BCX0XYabY3sdzIhASegAAzKGBrPPocgOYxEQgPZfdbld6errsdnt3hwIA6AAz5XYeCT1gks1m065du2hN6IF4OABA+KCBrPNI6GEKLaCtmT0n3Xkuu7LurqyLhwMAhA8ayDqvxyb0DodDeXl5+vnPf64f/OAHuvnmm/X888/7vX1dXZ02bdqk22+/Xd/73vd099136+DBg11atjfrCS2gHSWIwUggA9mH2XPi73aesRj/v2rVqlbxmY05WAm3rziN/pFtHWewk30eDkDP0d0NQN1df0vdHY/dbteMGTM0Y8aMoMYQzOMKxfOot+u3Zs2aNd0dhC/V1dXasGGD4uPjlZKSog8//FATJkzQhAkT/Nr+V7/6lUpKSrRw4ULNmTNHtbW12rx5sy677DIlJyd3SVlJamxslN1u16233qqoqCiTZyO47Ha7li9frj//+c/6zW9+o+joaKWkpPi9XpKio6P17rvvqrGxUQMGDHCvN7b1tU1768zEuXz5cp0+fVoffPCBFixY0GrbBx98UGfPnlVJSYn+6Z/+qcP67Xa7fvrTn2rTpk3asmWLBgwY4E5CfdXR8pg+/vhjffbZZ7rooov0/PPPe9WzatUq/exnP9PJkyd1/fXXtzqXH3zwgbKysvTee+/prrvu0lNPPaXKykqvsp7HW1xcrM8//1wfffSRzp496xWfZ7no6GivY6qoqFBOTo6effZZDRgwQJMnT3bXnZubq88//1zvvvuuBgwYoJ/+9Kfucp7X11heUVGh3/zmN62uj1H/u+++q9dee021tbXuOj744ANNmjRJOTk57Z7n9s4X0BsEej8MZx3dqz3Pgz/nxd9zZ9xHDh8+rC+++ELFxcU6efJkm8+1YPAnNuN8lJSUaOPGja3uc22dk5b3WrOfoZ/+9KeqqanR+fPn3c8JYz/tPYPaiy06Orrd56W/sRrPmP379+vs2bMqLi7WoEGD9N5777WbW3g+rzzLtowpHH/v/M0jLS6Xy9WFcfnNCMtisejLL7/UwoULNX/+fJ9JVUslJSX65S9/qWXLlmn69Onu5T//+c/18ccf65lnnlG/fv1CWtbgcDiUkZGhrVu3dssoN6tWrdLu3bslSbNnz1ZOTo7S09N1+vRpRUREyOl0KiIiQsuXL9ef/vQn7d27V/369VNjY6PXfrKzsyVJubm5kqRrrrlGe/bskcvlUnx8vK655hrt3btXERERampqkiRFREQoOjpa0dHRWrx4sXJzc1VTUyNJioyMVGRkpHvdn/70J+3Zs0f9+/fXvffeK0l6+OGH3fE5nU5FRkaqqalJKSkpmjNnjlcshw4dUkNDgxoaGuR0OmWxWOT50Y6Pj5fD4XDHZsS3fPly93HV1taq5a9DfHy8amtr1a9fP0VGXhgUyojZZrO5z2ViYqKqqqrkdDpb7d9ms+kb3/iGe98RERG66KKLVFNT4z5HTU1NXrEZrFarJLnXW61WTZ8+3X1NjaFQx44dq08++UQNDQ06f/58q+PwjMkzRuNaxMbGqqGhQfX19bJare7zaJyD/fv3S5JmzJjhvoYt92lsN3bsWFVXV8vhcLjLzp49W1//+td9nmeja4xxPRcvXuy+9kZ8zc3NSk1NlST3saekpLiPOTo62v05MPbRsnXen1EUAhlpwcyoDHa73es4+QtC+DCu96RJk1RaWur3dW/rc+J579i1a1coQw+pjn4P2vrMG9sZ94mIiAjNmjXL67li3HdWrVqlPXv2qF+/fu7nqOc2vq6H0ajTkuezwXimWK1W3XvvvV7bt6xz8eLFkuQ+Vklex2WsM47HuK89+uijOn/+vFJTU/X1r3/d/Rk6dOiQ+/5osVg0dOjQVsulC/fOvXv3+rxvNzc3y+VyyWKxqH///pL+/qxo+YyV5I4lMjLS6xlv3MON/dTX17vXxcfHe103X88A4xj69++v6OhoJSUlqayszOvceT7/jX0a58w4bkPL/VssFsXFxammpsb9/551GOdBuvA8keT+3Zo0aZJXbmEk+MbvnefvtZFHGM+T0tJSr9i6657tbx5pKqH/61//qqFDh/pV9q233tI3v/nNQKvwEmhC/8QTT+iNN95QYWGhV4L9+uuv65FHHtHDDz+scePGhbSsoTsT+ttuu03vvfdel9ZphnFT7S6+klx/WK1WNTU1qbm52X2z8SUxMVGnT5/ubJid1vJLTiDMnqOO9ulyuTR06FBVVVUpOjra/YXC84HSGZ4Pas8EKisry2dy1lGS5Zm8GA+G+Ph4xcbGuvfluU/J+6FvbGPEFh0d7V7n6wtIbm6u+wETzIeJ53FI6jAhayuRDYcvKIF+8WpZ3lfiaTQ0jB07VmVlZe5kwdf+PRtQjC/4HcXV3nltee08GzY8r0/LRMXXvvypr61z9Oijj7b6PTWSSEN0dLS7ocBisWjcuHHuJKyje35kZKScTqfGjh3r93PMaCCRFPA9xGKxuJPD1NRU9xcLz/WS3Al0e/fSttYby1ve40Jxf+2ImeeB2Wd1IPf0tsr6e44iIiK8GhZbmj17tkpLS5WQkNDu58rX+Wn5O9xVQprQZ2Zm6q677tKMGTPaLNPQ0KCnn35au3fv1o4dOwKtwkugCf2yZcvkdDq1fv16r+WVlZX66U9/qv/3//6fbrjhhpCWNRgXIi8vz6+EPioqKmhdc6ZMmRKU/QDhzPgrR319fauHgnHTtlgsWrFihSS5k2iDZ+u/55c2IyH3TFhcLpe7jvj4eK/yxheJhx56yGdSYLFY3K14vpKllg8Tz7++SRf+YlFRUaGmpiYlJibK4XCooaHB/aXT+OI0a9Ys97HEx8dL+nuLmHFMSUlJKi8v9yrrGeeKFSu8vgAZx9ddLc2rVq3S3r17NWTIEFVVVbn/StTeF6+srCz3XyWNv3AZjJbAlq2Vxpd4X8mC0XLY8i+O06dP90oOPVs8Pb+0SX//rHmWb3lePb90SmrVWGB8Tozj9vzMt3WNPFtdjc+E8RdNz5bepKSksGgkaqm7G43Qe1itVhUVFXVpnSFN6G+55RY1NTXpO9/5jhYvXqyLLrrIa/0HH3ygf//3f9enn36qxMRE/ed//mfgR+Ah0IT+xz/+sRITE/XLX/7Sa3l1dbVuv/123Xbbbbr11ltDWtZgXAh/+XuM/vBsoTfbApCSkhLwDdwzgfKlO1oj+hoeYIEzWugCOW+eSbnnn6193VaNxMhICDvzexDMv2KYNXv2bO3bt09NTU2KiorS0qVL9fLLL+u9995TSkqKnnvuuS6Jo+UXm57G1+fKSKw9vxC1xejSaHQHkNSqG4Wvz0JiYqL++te/enUXNBhf8saNG6ePPvrIvb2vLzG9VWf+YtkXcH7aVlJS0qX1+ZvQmxrl5tFHH1VycrKKior0L//yL3r33Xfd67Zt26bly5fr008/1cyZM/X444+bqaLXycvL09atWzv81/ILQWc899xz7taWlomDxWJp84UQIyG3Wq2aM2eOSkpK3PuR/t5vuy3nz5/X9OnTvbbx3HfLL4AtGfs3/sTZFovF4rMOY11KSkqHsba3b886Wj4Q29omOztbVqvV5/m1Wq3ueCMiIlrFHhER0eEx+2K1WpWdne1usUtMTNSyZcsUHx8vq9XaKnZfdVgsFkVGRio+Pr7dGIxynvtseZ4TExM1e/Zsn/vx5zwGqq1rHOi5dLlcAX8J8nzgGb9jbT0Em5qaVF9f766jM19quyPhank+d+/e7T6WxsZGPfjgg+4v/13Vimu323t0Mi/5/lydPn1aU6ZM8asrXk1NjXbv3q2amhrV19ervr5etbW1evnll/XQQw+1+Vk4ffq0u25jO+NfU1OTXC6X3nvvPa/tU1NTdf78+c4dsAkpKSlt3sv9EREREfALjv4kq4mJiabuyf4ynrVtCbRui8XS5r3X1/6MZ1J8fLxmz57t9exPTU1VYmKiUlJSZLFYvLY17rm+rptRPjIy0v0sbE9Hz+iW6z17MFitVs2ePdt9DMYzMBDx8fHKzs72+/PX0TXrTqayncsvv1zr16/X9773PVVXV+vnP/+5Nm3apOzsbG3evFkxMTH62c9+prvvvrtbDj4uLk61tbWtlhvL4uLiQl62pdjYWL/+BXsknMWLF3slyMaH9/Dhw15/Yo6MjHTfDIqKipSYmKj6+nr3cIbS33/5Z82a5f4F8kwk4+Pj3f2iS0tLtX//fvd647/Gw8NY5rne+P/ly5erpKREhw8fVklJibKzs903BavV6i5/+PBh7d+/v9UXjtmzZ+vw4cN67rnntHz5cneC6flfIwk1bgbGOTCWrVixQomJiVqxYoX279+vZcuWues1YjL2Z9y0UlNTZbPZVFRU5K7f8/iMl33j4+O1fPlyLV682Cum5cuXKzU1VREREe7fG8/E3zNe49yXlJSoqKhINpvNa+x1m82m/fv3q6ioSG+++ab7hhUfH68VK1Z4ffEwztebb76p/fv3u2OYPXu2Zs+e7T6vKSkpGjp0qJqamnTppZeqpKREJSUl7vNs7D8rK0s5OTk6fPiwV73Z2dlesRjJvXFT9nyYeB5zdna2Zs+e7X5oe97gjc9bS8Y17InMfsnsboG01oXii1tLdrtdDz30UMjraclisXT7NTSS8WC2oEZERGj37t1+7bPlvcFI4Dx5nicjIWz5fIuPj3ffQ4znhbGNcW80fu8TExPd9wij8cTzmfHcc8955RttJWgtcxIjJl/JsMPhUP/+/VvFbjTYGI0mntt4NjR53rONMp7Pw3vvvdfrGI37ohHLihUrfNbR8j5o/Gw8e43nl+f5lLxzFOP9ov3792v//v3KycnRwIEDJUkDBw7U17/+dUnSnDlzdPjwYff93PMZ/dxzz2nx4sVez5I5c+Zo6NChWrZsmQYOHNhqAATP8yRJQ4YM8XqGG/sxnhvLly/3ejYsXbrUfUwDBw5UTk6O+xh27drlfi55PnuMZ2zL53d2drb2798vm82mxYsXu8v7yg+Mz5TxHO+JOj3KzdGjR5WTk6O6ujpJ0sSJE7VkyRINGjQoKAFKgXe52bBhgw4ePNjq5dWDBw9q3bp1Xi+vhqqsobtHuZHafvnK6DfpOZqAr21avhXe3v6ltl+wMzMqiL/bhnLfwRLIqBaBvLTYlbrqXAXywqDRD3rWrFnKyclpde48R8yRLjwUzp8/L4vF0mYreVvdxnyNlhQM8fHx7r740t+7PrTVX9vT7NmzdejQIVNxGS8qVldX6/PPP/ca+aKtblv+dBVKSUlx98HPyckJKCZ/+dNdJdiMv075ahVv2T0xnLoW+hur0f+/vXtTe88Of0YK6uh339/ngGdsku8RaXwdg+f9RZLXiDX+3pM6Oi9m7p1tvazd1s8G4/2SWbNmuUfZ8ef8dfTcb0vLwQdavmzd1mcgkOveVc8hX3V3h5D2ofes5KmnntLrr7/uXnbJJZfo3nvv1aRJk8zuthWzw1YuX75cU6dOdS//13/9V508edLnUJTBLmvoCQl9W/z9oPaED3RvwHnsGi2/OLV8gLQcrcRgDN8peT/EjZdYjS++ni8QGi+RthzizPNl1HHjxumTTz5pNQqSkYgbjC/XsbGxbY4kY/Sldjgc7tE4PBNmo9Xac1i+2NhYd3wthxL13NY4Ls+XXo1zd+bMGffwftHR0aqpqZHVatXAgQNbjRbhmdhaLBYdPny4k1fUt5bH6jl0n6RWIwP5Gsml5T6M8yKpVRLkee486/Osx0iePEdsMoZy/eSTT3wOjWsMvehraEJPnX1vwnO0Lc99GdfR88uR0dqbmprqfina+FwEkuiF+z0v3OPvDLPH3pfPWaj4nUe6TDp69Kjrn/7pn1w333yz65577nGdOHHC9eyzz7rmzJnjmjNnjmvTpk2uhoYGs7t3uVwu1+HDh11FRUWuvXv3utLT010PPPCAq6ioyFVUVOSqq6tzuVwu17vvvuuaM2eO6/nnn/fadvXq1a7MzEzXq6++6iotLXU98cQTrvT0dNdrr73Wqp5QlXW5XK5z58650tPTXefOnevUuQDgn23btrnS0tJc27Zta3f9ypUrfZZruX1HPwcS13e+8x3XlClTXCtXrgwo5kDraWtfwVjnq5znsu985zuuq666yv0vGMfky7Zt21zXXXed6zvf+Y7ruuuuM12Pv+c+kPra2qfnZ++6667z2k/Lz+XKlStbfV5Wrlzp+sY3vuH1+fEVV1uxtnUdjfK+jitYn38A5vibR5pqoX/22Wf10ksvyeVyad68eVq4cKG7/9yf//xnrV+/XmfOnNGIESO0dOlSnzOo+uNHP/qRqqqqfK57+umnNXToUB09elQrV65s1XpfV1enzZs3q6ioSLW1tUpKStKtt96qadOmtdpXqMpKPbuFHgCCzXMSNSl0w1m212UQAHqLkHa5mTNnji655BItWbJEEyZM8Fm50RUnKipK27dvD7SKXoOEHkBfYnQ78RwLPhR/eiehB9AXhHTYymuvvVZPPPGEz2ReujCiy9KlS7Vs2TL3rG0AgN4vJydHy5cvD2kyL8k9SpTxEiIA9GWdHuWmI2fOnNGll14ayip6NFroAfQ1gYzoBABom795ZMgHC+7LybynJUuWtBq7OC0tTWlpad0UEQCEhjFcncPhkN1uZ7QLAAgxUwl9Wy+qtmXIkCFmqulV1q9fTws9gD7BZrMpNzdXNTU1ys3NDUlCz/B4APB3phL6O+64I6ApiXfs2GGmGgAAfDLGQ8/PzyehB9DnmUrox48f7zOhdzqdOnPmjD777DO5XC6NHTu2S6YABwD0LC1nFA02z5k7AaCvC8lLsZ988okef/xxWSwW/du//VufHumGl2IBAABgRkiHrexIUlKSVq1apY8//ljPP/98KKoAAAAAoBAl9JJ08cUXa8yYMTp48GCoqgAAAAD6vJAl9IYvvvgi1FUAAAAAfVbIEvoPP/xQR48eZchKAAAAIIRMDUFTWFjY5rr6+np9+umnevvtt+V0OnXDDTeYDg4AEL5CNVY8Y9ADgDfTCb3FYlF7A+T0799f8+bN03e/+13TwfUmzBQLoK8J1VjxjEEPAN5MJfT33HNP2zuMjFRCQoJGjx4tq9VqOrDehpliAfQ1oRornjHoAcBbSMahx98xDj0AAADM6NZx6AEAAAB0DRJ6AEBYsdvtSk9Pl91u7+5QAKBH8KsP/R133GG6AovFok2bNpneHgAAT7wUCwDe/Eroq6qqQh0HAKCXCdXwkrwUCwDe/EroX3755VDHAQDoZULVkm6z2WiZBwAP9KEHAIREVlaWEhMTaUkHgBAjoQcAAADCmF9dblatWqUrr7xSt9xyS6t1DodDkZGRio6ODnpwvQkzxQLoa3h5FQC6hl8J/dGjRzVkyBCf6+bPn6/rr79ed999d1AD622YKRZAXxOql1dD9bItAISrTne5cblcYrJZAEBLNptNu3btCnrS7dnyDwCgDz0AIMzwsi0AePOryw0AAD0Fw1YCgLcendDX1dVpy5YtKioqUm1trZKSkmSz2TRt2rQOt62oqNCWLVtUXl4ul8ul0aNHa+HChUpJSelU2Q8//FCFhYU6fvy4zp49q8GDB2v69OmaN2+erFZrUI4bAAAA8FeP7nKzdu1a7du3T5mZmVqzZo1Gjx6tdevW6cCBA+1uV1FRoezsbDU0NOi+++7TkiVL1NDQoNWrV6u8vNx02Y8//ljLly9XVVWV7rjjDv3iF7/QtGnT9MILL+iRRx4J9uEDAAAAHfK7hX7//v3av39/q+UWi6XNdYYdO3YEHFhJSYneeecdLVu2TNOnT5ckTZw4UVVVVcrLy9PUqVPVr18/n9sWFBRowIABWrNmjbvVfNKkSbrzzjv1zDPP6OGHHzZV9vXXX1dDQ4N+9rOfadiwYe6y1dXV2r17t86ePauLLroo4GMFAAAAzPK7hd4YzcbMPzMOHTqkmJgYXXvttV7LZ86cqerqalVUVLS5bVlZmSZMmODVBSY2Nlbjx49XWVmZqqurTZWNjIx0r/d00UUXKSIiwr0eAAAA6Cp+ZaAvv/xyqONopbKyUklJSa1a4ZOTk93rx40b53PbxsZGRUVFtVpuLDt58qQSEhICLjtjxgzt2LFDTz31lLKyshQfH69jx47p1Vdf1U033dRuH3qHw9HBEf+9Xl/xAAAYgx4AfOmxTcq1tbVKTExstTwuLs69vi0jRozQ+++/L6fT6Z6dtbm52d2q77ltIGWHDh2qdevWae3atbrzzjvdy2+++Wavn31ZtGhRu+sN8+fP14IFC/wqCwB9DbPPAkBrPTah74z09HQ9/vjj2rhxozIyMuR0OlVYWKiqqipJcifugZb961//qn/7t3/TwIEDlZ2drYsvvlgVFRXaunWr6uvr250tNy8vz6+ZYmmdB9BbhKI1PVSzzwJAOOuxCX1cXJzPVnhjmdFS78usWbP05Zdf6sUXX9Qrr7wiSRo7dqzmzZun7du3u7vQBFr22WefVV1dnR5//HF395qvfe1rio+P12OPPabrrrtOEyZM8BlTbGysXwk9APQWoWhNZwx6AGitxyb0ycnJOnjwoJqbm7360VdWVkqSRo4c2e72NptNc+fO1alTpxQTE6MhQ4Zow4YNslqtGjVqlKmyH330kS6//PJWfeVHjx4t6cKwlm0l9ADQ19CaDgBdo8eOQ3/11Verrq5OxcXFXsv37dunhIQEXXHFFR3uIyoqSiNHjtTg5z6qAAAgAElEQVSQIUNUVVWloqIipaamqn///qbKXnLJJfr4449VV1fnta0xXv0ll1xi5lABoFey2WzatWsXLeoAEGI9toV+ypQpmjx5snJzc+VwODRs2DAdPHhQR44c0dKlS92t9kePHtXq1auVmZmp+fPnS7rQil9cXKxRo0YpKipKJ06ckN1u17Bhw7Rw4UKvegIpO2fOHOXk5OjnP/+55s6dq/j4eL3//vuy2+26/PLLddVVV3XNyQEAAAD+T49N6CVp5cqV2rx5swoKClRbW6ukpCTdf//9mjZtmlc5p9PpNd59ZGSkSktLtXPnTtXV1Wnw4MG68cYbZbPZWnWXCaTst771Lf3617+W3W7Xpk2bdO7cOQ0ePFizZ8/WrbfeygutANACw0wCQOhZXGZnfoJfHA6HMjIytHXrVl6KBdDnpKen6/Tp00pMTNSuXbs6vT++IADoS/zNI3tsH3oAQPjLyspSYmJi0F6M9Rw5BwBwgV9dbgoLC01XYLFYlJmZaXp7AED4CvYwk4ycAwCt+Z3QWywWteydY7FY3P9vrGu5jIT+giVLlnhNUiVJaWlpSktL66aIACD8MA49ALTmV0J/zz33tFpWVlamPXv2aPDgwfr2t7+twYMHS5I+++wzFRcX67PPPlNqaqrGjRsX3IjD1Pr16+lDDwAAgKDzK6G//vrrvX4uLy/Xk08+qYyMDGVmZnpN/CRd+JPo1q1bZbfbNXPmzOBFCwAAAMCLqZdiCwoKNHz4cP3gBz9olcxLUr9+/bRgwQINHz5cBQUFnQ4SAAAAgG+mEvrjx49r5MiRHZYbOXKkjh8/bqYKAAAAAH4wPWzlJ598EpQyAAAAAMwzldCPGzdOJ06c0G9/+9s2y/z2t7/VRx99xEuxAAAAQAj59VJsS7fddpuOHTumZ599Vv/93//tHuXGYrGoqqpKxcXF+vTTT9W/f3/ddtttwY4ZAAAAwP8xldB/5Stf0a9//Ws9+uij+uSTT/Tiiy+6x583xqO/7LLLdO+99+orX/lK8KIFAAAA4MVUQi9JY8aMUW5uro4ePar33ntP1dXVcrlcSkhIUEpKiiZOnOg1yRQAoO+x2+3umV2ZEAoAQsN0Qi9dmBV24sSJmjhxYrDi6bWYKRZAX5Sfn6/Tp08rPz+fhB4AQqRTCb2hsbFRtbW1ioqKUlxcXDB22eswUyyAvigrK8vdQg8ACI1OJfR/+MMf9Oqrr6qyslKSNGPGDN1zzz2SpDfeeENvvPGGsrKydNlll3U+UgBA2LHZbEFtmacLDwC0ZmrYyubmZv3qV7/Sf/zHf+jTTz/ViBEj3C/DGi6//HK9+eabeuONN4ISKAAAnl14AAAXmEroX375ZZWUlOgb3/iG/uu//ktPPPFEqzLJyckaOnSo3n777U4HCQCAdKELT2JiIl14AMCDqS43+/fv16BBg3T//ferf//+bZZLTEzUX/7yF9PBAQDgKdhdeACgNzDVQn/q1CmNGTOm3WRekuLj41VTU2MqMAAAWrLb7UpPT5fdbu/uUACgxzCV0EdFRamurq7Dcp999pkGDBhgpgoAAFqhDz0AtGYqoU9OTtbx48fbbX2vqqrShx9+qFGjRpkODgAAT/ShB4DWTCX0s2bNksPh0L//+7/r7NmzrdbX1dXpiSeeUFNTk1JTUzsdJAAA0oU+9Lt27aIfPQB4MPVS7PXXX6/Dhw+ruLhYd9xxh8aNGydJKisr0wMPPKCjR4/q7Nmzmj59uq655pqgBhyumCkWAAAAoWB6YqkVK1bot7/9rV566SX30JSnTp3SqVOnFBsbqx/84Af6/ve/H7RAwx0zxQIAACAUTCf0FotFt9xyi7773e/qo48+UlVVlZxOpy655BKNHj1aUVFRwYwTABCGmNkVAELPdEJv6Nevn0aPHq3Ro0cHIx4AQC/iOSoNCT0AhIapl2Ife+wxbdiwQadOnWq33J49e/TYY4+ZCgwAEP4YlQYAQs9UC/2+fftksVhUXFysFStWaNKkST7Lvffee3rttdd0zz33mAqurq5OW7ZsUVFRkWpra5WUlCSbzaZp06Z1uG1FRYW2bNmi8vJyuVwujR49WgsXLlRKSkqnykrSn//8Z23btk3l5eVqbGzUJZdcohkzZigzM9PUcQJAb8XMrgAQeqZa6CVp6NChOn/+vNasWaNdu3YFMya3tWvXat++fcrMzNSaNWs0evRorVu3TgcOHGh3u4qKCmVnZ6uhoUH33XeflixZooaGBq1evVrl5eWmy0rSgQMHtHLlSg0YMEBLlizRv/7rv+qWW26Ry+UK5qEDAAAAfjHdh378+PG64YYblJOTo02bNunkyZP653/+Z/Xr1y8ogZWUlOidd97RsmXLNH36dEnSxIkTVVVVpby8PE2dOrXNugoKCjRgwACtWbNGVqtVkjRp0iTdeeedeuaZZ/Twww+bKvv555/rySef1OzZs7V48WL38okTJwblmAGgt+GlWAAIPdMt9JI0ZswYrV+/Xv/wD/+gvXv3avXq1e3OHhuIQ4cOKSYmRtdee63X8pkzZ6q6uloVFRVtbltWVqYJEya4E3RJio2N1fjx41VWVqbq6mpTZffs2aP6+noeSgDgJ8+XYgEAodGphF6SLr30Uj300EP69re/rT//+c9aunSpKisrOx1YZWWlkpKSWrXCJycnu9e3pbGx0eewmcaykydPmip77NgxxcXF6ZNPPtHdd9+tuXPnauHChXryySflcDjaPR6Hw+HXv8bGxnb3AwDhhJdiASD0Oj1spSRFR0drxYoVeuGFF1RYWKjly5fr3nvv7dQ+a2trlZiY2Gp5XFyce31bRowYoffff19Op9M9O2tzc7O7Vd9z20DKfv755zp//rwefPBB3Xrrrbrzzjt1/PhxFRQUqLKyUg899JAsFovPmBYtWuTXcc+fP18LFizwqywA9HS8FAsAoReUhN6QmZmpkSNH6je/+Y0efPBBDRw4MJi791t6eroef/xxbdy4URkZGXI6nSosLFRVVZUkuRP3QMu6XC41NDTotttu06233ipJmjBhgiIjI7Vp0yaVlpZq8uTJPmPKy8vza6ZYJuQCAN/ojw8AvgU1oZeka665RomJifr1r3+tzz77rM0W647ExcX5bIU3lhkt9b7MmjVLX375pV588UW98sorkqSxY8dq3rx52r59uxISEkyVNeq88sorveq76qqrtGnTJn344YdtJvSxsbF+JfQAAN+YpAoAfDOV0Ofk5GjQoEFtrv/KV76i9evX69VXX5XT6TQVWHJysg4ePKjm5mavfvRG3/mRI0e2u73NZtPcuXN16tQpxcTEaMiQIdqwYYOsVqtGjRplqmxycrLef//9VnUZQ1aa/fICAOhYVlaWu4UeAPB3phL6CRMmdFjm4osvVkZGhpndS5Kuvvpq7d69W8XFxZo6dap7+b59+5SQkKArrriiw31ERUW5E/+qqioVFRUpNTVV/fv3N1X229/+tnbv3q23335bX/3qV93LS0pKJF0Y9QcAEBr0xwcA34Le5SZYpkyZosmTJys3N1cOh0PDhg3TwYMHdeTIES1dutTdan/06FGtXr1amZmZmj9/vqQLrfjFxcUaNWqUoqKidOLECdntdg0bNkwLFy70qieQsldeeaW++c1v6oUXXpDL5dKYMWN0/PhxvfDCC/rGN76h8ePHd83JAQAAAP6PXwn9Y489JovFoh/+8IcaNGiQHnvsMb8rsFgsuvvuu00Ft3LlSm3evFkFBQWqra1VUlKS7r//fk2bNs2rnNPp9JqpNTIyUqWlpdq5c6fq6uo0ePBg3XjjjbLZbF7jzQdaVpKWL1+uwsJCvfrqqyosLFRCQoLmzp3r/jIBAAAAdCWLyzMTbsOcOXNksViUm5ur4cOHa86cOf5XYLFox44dnQoynDkcDmVkZGjr1q28FAsAAAC/+ZtH+tVCn5OTI0kaPHiw188AAAAAupdfCX3Ll2D9eSkWAAAAQOj12Jdie5slS5Z4TVIlSWlpaUpLS+umiAAAANAbkNB3kfXr19OHHkCfxAyvABBafiX0q1at6lQl9LkHgL6LGV4BILT8SuiPHj1qugJmTwWAvo0ZXgEgtPxK6J9++ulQxwEA6KWCNcMrXXcAwDe/EvohQ4aEOg4AANpF1x0A8C2i4yIAAHS/rKwsJSYm0nUHAFpglBsAQFgIVtcdAOhtTCf09fX12rFjh95880397//+r+rq6tosu2PHDrPVAADCHH3fASC0TCX0586dU3Z2tj7++GNFREQoMjJSLpdLgwYN0hdffCGXyyVJGjx4cFCDBQCEH/q+A0BomUro7Xa7KisrdcMNN+iOO+7Qk08+qQMHDujZZ59VQ0ODioqK9Oyzz2rMmDG6//77gx1zWGKmWAB9VbCGraSlHwB8M5XQv/nmm0pISNBdd92lyMhIr7Hmo6OjNWPGDI0aNUr33HOPXnrpJX3ve98LWsDhipliAfRVwer7Tks/APhmapSbqqoqffWrX1Vk5IXvA0bLc1NTk7vMiBEj9LWvfU379u0LQpgAgL6OUW4AwDdTLfTR0dGKiopy/xwTEyNJ+tvf/ubVbz4uLk5lZWWdDBEAAEa5AYC2mGqhv/TSS1VVVeX+OSkpSZJ07Ngx97Lm5mYdP35ccXFxnQwRAAAAQFtMJfTjx49XZWWlzp07J0n65je/qX79+uk///M/9Yc//EFvvfWWHnjgAVVVVelrX/taUAMGAAAA8HemutxMnTpVH3zwgcrLy3XVVVfpkksu0W233aZnnnlG//Ef/yFJ7mEs6esIAAAAhI6phH78+PF65JFHvJZ997vf1bhx43To0CGdPXtWw4cP18yZM+lyAwAAAISQ6ZlifRkzZozGjBkTzF0CAAAAaIepPvQAAAAAeoZOtdDX19frgw8+0N/+9jc1Nja2WW7GjBmdqaZXYKZYAAAAhIKphN7lcqmgoEAvv/yyzp8/3245i8VCQi9migUAAEBomEroX3jhBb344ouKjIzUt771LQ0bNkxWqzXYsQEAAADogKmEfs+ePYqNjdW6det0+eWXBzsmAAAAAH4y9VJsTU2Nvva1r5HMAwAAAN3MVAv9ZZddprq6umDH0kpdXZ22bNmioqIi1dbWKikpSTabTdOmTetw24qKCm3ZskXl5eVyuVwaPXq0Fi5cqJSUlE6V9bR7925t2LBBVqtV27ZtM32cAAAAgFmmWuhvuukmvf/++/rLX/4S7Hi8rF27Vvv27VNmZqbWrFmj0aNHa926dTpw4EC721VUVCg7O1sNDQ267777tGTJEjU0NGj16tUqLy83XdbT559/rry8PCUkJATjUAEA7bDb7UpPT5fdbu/uUACgxzGV0N94441KTU3VL37xC+3fv1+ff/55sONSSUmJ3nnnHf3zP/+zbrzxRk2cOFH/8i//osmTJysvL0/Nzc1tbltQUKABAwZozZo1uuaaa3TNNdfoV7/6lWJiYvTMM8+YLuvpySef1Pjx4zV58uSgHTMAwLf8/HydPn1a+fn53R0KAPQ4psehv+GGG1RaWqrHHnusw7I7duwIeP+HDh1STEyMrr32Wq/lM2fO1COPPKKKigqNGzfO57ZlZWWaMmWK18g7sbGxGj9+vA4dOqTq6mp3y3ogZQ2vvfaajh07ptzcXG3evDngYwOAvsRutys/P19ZWVmy2Wym9pGVleXeBwDAm6mEvry8XL/4xS9UX18vi8WiuLg49e/fP6iBVVZWKikpSf369fNanpyc7F7fVkLf2NioqKioVsuNZSdPnnQn6YGUlaQvvvhCmzZt0u23365LL73U7+NxOBx+lYuKivIZDwCEK8/WdbMJvc1mM70tAPR2phL6vLw81dfXa/78+Zo7d25IJkyqra1VYmJiq+VxcXHu9W0ZMWKE3n//fTmdTvfsrM3NzaqoqGi1bSBlJempp55SUlKSbrrppoCOZ9GiRX6Vmz9/vhYsWBDQvgGgJ6N1HQBCy1RCf+LECY0ZM0bz588PdjxBkZ6erscff1wbN25URkaGnE6nCgsLVVVVJUnuxD3Qsn/84x/11ltv6bHHHpPFYgkopry8PL+++NA6D6C3oXUdAELLVEJvtVo1aNCgYMfiJS4uzmcrvLHMaKn3ZdasWfryyy/14osv6pVXXpEkjR07VvPmzdP27du9utD4W7aurk4bN25Uenq6EhISdPbsWUlSU1OTJOns2bOKjIxsc8bc2NjYkPwlAwAAAH2bqYR+ypQp+tOf/tRm//NgSE5O1sGDB9Xc3OzVj76yslKSNHLkyHa3t9lsmjt3rk6dOqWYmBgNGTLEPWb8qFGjAi5bU1OjL774Qr/73e/0u9/9rlV98+fP17e+9S2tXr26s4cOAL1OZ1+MDcaLtQDQW5lK6G+//XYdO3ZMjz32mBYvXhySluerr75au3fvVnFxsaZOnepevm/fPiUkJOiKK67ocB9RUVHuxL+qqkpFRUVKTU31+QJvR2UHDRqktWvXttrObrfr2LFjWrNmjeLj400dKwD0dp19MTYYL9YCQG9lKqHPz8/XyJEj9cYbb+jtt9/WqFGjdMkll/jsV26xWHT33XcHXMeUKVM0efJk5ebmyuFwaNiwYTp48KCOHDmipUuXulvtjx49qtWrVyszM9Pdp7+yslLFxcUaNWqUoqKidOLECdntdg0bNkwLFy70qsffstHR0ZowYUKrOP/7v/9bERERPtcBAC7o7IuxvFgLAG0zldDv27fP/f/nzp1TaWlpm2XNJvSStHLlSm3evFkFBQWqra1VUlKS7r//fk2bNs2rnNPplMvlcv8cGRmp0tJS7dy5U3V1dRo8eLBuvPFG2Wy2Vn3cAykLAOgevFgLAG2zuDwzYT8dPXo0oPJ9ufXa4XAoIyNDW7du5aVYAH1Wenq6Tp8+rcTERO3atau7wwGAsOBvHmmqhb4vJ+gAgMDRZQYAQsdUQn/PPfdo2LBhys7ODnY8AIBeiC4zABA6phL6Tz/9VElJScGOpVdbsmSJ1yRVkpSWlqa0tLRuiggAAAC9gamE/rLLLvM56RPatn79evrQA4BJjEMPAG2L6LhIa7NmzdKxY8f0l7/8JdjxAADQiuc49AAAb6YS+ptvvlnXX3+9Vq5cqd/97nc6deqUGhsbgx0bAACSLrxUm5iYyEu1AOCDqS43c+fOlSS5XC7l5eUpLy+v3fI7duwwUw0AAJJ4qRYA2mMqob/00kuDHQcAAAAAE0wl9P/1X/8V7DgAAAAAmGCqDz0AAACAniFoCb3D4VBdXV2wdgcAgJvdbld6errsdnt3hwIAPY6pLjeGt99+Wzt37lRZWZnq6+slSf3799f48eOVnp6uq666KihBAgDCW2fHkfcctpKXYwHAm+mE/umnn9bOnTvlcrkkyT1pksPh0Ntvv60jR47o5ptv1h133BGcSMMcM8UC6Ms6m5BnZWW5vxAAALyZSujfeOMNvfzyy7r44ouVkZGh6667TgMGDJB0IaF/7bXXtHXrVu3cuVNjxozR1KlTgxp0OGKmWAB9WWcTcoatBIC2mUrof//73ysqKkoPPvighg8f7rUuNjZWaWlpmjx5su6++2794Q9/IKEHgD6OhBwAQsfUS7EnT57UxIkTWyXznoYPH66JEyfqxIkTpoMDAIAXYgGgfaYS+sbGRlmt1g7LWa1WNTY2mqkCAABJ3v3vAQCtmUrohw0bpmPHjrlHtvGlvr5ex44d07Bhw0wHBwBAVlaWEhMTeSEWANpgKqG/9tpr9eWXX+qBBx7Q6dOnW63/3//9Xz3wwAOqqamh/zwAoFNsNpt27dpFH3wAaIOpl2LnzZun//mf/9Gf/vQn/eQnP9EVV1yhIUOGyGKx6K9//asqKirkdDo1atQoffe73w12zACAMNPZcegBAG0z1ULfv39/rV27VmlpaYqMjFR5ebkOHjyo119/XeXl5YqMjFRaWppycnLUv3//YMcMAAgz9IMHgNAxPbFUTEyMfvzjH+v222/Xhx9+qOrqaklSQkKCvvrVr/r10iwAoG9gYigACB2Ly5jqFSHhcDiUkZGh4cOHM1MsAAAA/GbkkVu3bm13glLTLfQIDDPFAgAAIBT8Sui3b9/eqUpuueWWTm0PAAh/vBgLAKHhV0L/7LPPymKx+LVDowePZ3kSegCA54uxJPQAEDx+JfSZmZl+J/SS9Le//U379+9XQ0NDQNsBAHovsy/G0rIPAO3zK6FfsGCBXzurqanR9u3bdeDAATU0NMhqteqmm24yHVxdXZ22bNmioqIi1dbWKikpSTabTdOmTetw24qKCm3ZskXl5eVyuVwaPXq0Fi5cqJSUFNNlS0tLdeDAAZWVlenMmTMaMGCARo8erczMTI0aNcr0cQJAX2Cz2Uwl5Lm5uaqpqVFubi4JPQD4EJSXYmtra/Xb3/5Wv//973X+/HlFR0dr3rx5+t73vqeLL77Y9H7Xrl2r48eP6/bbb9fw4cP1+uuva926dXI6nfrHf/zHNrerqKhQdna2rrjiCt13332SLrwHsHr1aq1du1Zjx441VfaVV15RbW2t5syZo8svv1w1NTV66aWXtGzZMv3yl7/UpEmTTB8rAAAAYEanEvqzZ8+6E/m6ujpFR0drzpw5stlsnUrkJamkpETvvPOOli1bpunTp0uSJk6cqKqqKuXl5Wnq1Knq16+fz20LCgo0YMAArVmzxj0e/qRJk3TnnXfqmWee0cMPP2yq7E9+8hMNHDjQq64rr7xSd911l7Zt20ZCDwDtMNt1ZvHixYxhDwDtMDVT7NmzZ7Vlyxbdcccd2r59u5qamjRnzhxt2rRJP/rRjzqdzEvSoUOHFBMTo2uvvdZr+cyZM1VdXa2Kioo2ty0rK9OECRO8JreKjY3V+PHjVVZW5p4EK9CyLZN56cIEWyNGjNCZM2dMHScA9BVmZ4u12WzatWsX3W0AoA0BtdCfO3dOv/vd77Rz507V1dUpMjJS6enpstlsGjRoUFADq6ysVFJSUqtW+OTkZPf6cePG+dy2sbFRUVFRrZYby06ePKmEhISAy/py7tw5ffjhh5o4cWK7x+NwONpd71mvr3gAINxNmjRJVVVV/DUTAILMr4Te4XBox44d2rFjhxwOh6KionTTTTfp1ltvbTfZ7Yza2lolJia2Wh4XF+de35YRI0bo/fffl9PpdM/O2tzc7G7V99w2kLK+bNy4UfX19fr+97/fbrlFixa1u94wf/58v19CBoBwUlpaKqfTqdLS0u4OBQB6Fb8S+h/96EdyOByKjIxUWlpaSBP5YEhPT9fjjz+ujRs3KiMjQ06nU4WFhaqqqpIkd+IeaNmWtmzZogMHDujHP/5xh6Pc5OXl+TVTLK3zAHorM8NWMmQlAHTMr4T+3Llzslgsam5u1p49e7Rnzx6/K7BYLLLb7QEHFhcX57N13FhmtNT7MmvWLH355Zd68cUX9corr0iSxo4dq3nz5mn79u1eX0YCKeupsLBQW7du1Q9/+EOlp6d3eDyxsbF+JfQA0FuZGbaSyagAoGN+96F3uVxyuVxyOp2hjMctOTlZBw8eVHNzs1c/+srKSknSyJEj293eZrNp7ty5OnXqlGJiYjRkyBBt2LBBVqu1VWt6IGWlC8n8888/rwULFnTY1QYA8HeBtrjT7x4AOuZXQv/yyy+HOo5Wrr76au3evVvFxcWaOnWqe/m+ffuUkJCgK664osN9REVFuRP/qqoqFRUVKTU1Vf379zdd9oUXXtDzzz+vjIwMzZ8/vzOHCAB9it1u18MPPyyn0+l3izv97gGgY0GZWCoUpkyZosmTJys3N1cOh0PDhg3TwYMHdeTIES1dutTdan/06FGtXr1amZmZ7gS7srJSxcXFGjVqlKKionTixAnZ7XYNGzZMCxcu9KonkLIvvfSSCgoKdOWVV2rKlCkqLy/3Wu85CRUAwFt+fr77r7z+trib6XcPAH1Nj03oJWnlypXavHmzCgoKVFtbq6SkJN1///2aNm2aVzmn0ymXy+X+OTIyUqWlpe7hNQcPHqwbb7xRNpvNa7z5QMu+9dZbkqQjR47oyJEjreLduXNnsA4dAHqdrKwsdwu9vy3uZvrdA0BfY3F5ZsIIOofDoYyMDG3dupWXYgH0eatWrdLevXs1a9Ys5eTkdHc4ANCj+ZtHmpopFgAAMwLtE79q1Sp985vf1KpVq0IcGQCELxJ6AECXycrKUmJiol994u12u3bv3i2n06m9e/eGPjgACFM9ug99b7JkyZJWk1SlpaUpLS2tmyICgK4XSJ/4Rx991P3/s2bNClVIABD2SOi7yPr16+lDDwABOH/+vKQLExTS3x4A2kaXGwBAl/K3X3xqaqoiIiKUmpraRZEBQHgioQcAdKm9e/f61S8+JydHb731Fq3zANABEnoAQJeaNWuWIiIi2u0Xb7fblZ6eLrvd3oWRAUB4IqEHAHSpnJwcLV++XKWlpW0m7I8++qhOnz7t9WIsAMA3XooFAHQpu92uhx56SC6XSw899JAktRr5xngh1vgvAKBttNADALpUfn6+jEnKXS6X8vPzvdbb7Xb169dPkjRu3LiuDg8Awg4JPQCgS2VlZclisUi6MCRly0mm8vPz1dTUJEmqrq7u6vAAIOyQ0AMAulxcXJysVqvi4uJarcvKylJ8fLzi4+P9mlEWAPo6+tB3EWaKBYAL8vPzVVNTI4vFovr6euXm5spms8lutys/P1+TJk1SbGyssrKy/J5VFgD6MhL6LsJMsQBwQVZWlvLz83XmzBk1NTWppqZGdrtdubm5qqmp0enTpyVdSPxJ6AGgY3S5AQB0KZvNpl27dnk1cjz44IOqqanxKjdp0qSuDg0AwhIJPQCgWyxevLjd9aWlpV0UCQCENxJ6AEC3sNlsslqtPtdZrVZeiAUAP9GHHgDQbe699173JFOGkpKSbowIAMIPCT0AoNsYL55V3OoAABE0SURBVL0+8sgjampqUkpKSjdHBADhh4QeANCtbDYbo9kAQCfQhx4AAAAIYyT0AAAAQBijy00XYaZYAAAAhAIJfRdhplgAAACEAl1uAAAAgDBGQg8AAACEMRJ6AAAAIIz16D70dXV12rJli4qKilRbW6ukpCTZbDZNmzatw20rKiq0ZcsWlZeXy+VyafTo0Vq4cKHPSUsCKduZmAAAAIBg69Et9GvXrtW+ffuUmZmpNWvWaPTo0Vq3bp0OHDjQ7nYVFRXKzs5WQ0OD7rvvPi1ZskQNDQ1avXq1ysvLTZftTEwAAABAKPTYFvqSkhK98847WrZsmaZPny5JmjhxoqqqqpSXl6epU6eqX79+PrctKCjQgAEDtGbNGlmtVknSpEmTdOedd+qZZ57Rww8/bKpsZ2ICAAAAQqHHttAfOnRIMTExuvbaa72Wz5w5U9XV1aqoqGhz27KyMk2YMMGdoEtSbGysxo8fr7KyMlVXV5sq25mYAAAAgFDosQl9ZWWlkpKSWrV4Jycnu9e3pbGxUVFRUa2WG8tOnjxpqmxnYnI4HH79a2xsbHMfAAAAQEs9tstNbW2tEhMTWy2Pi4tzr2/LiBEj9P7778vpdLpnZ21ubna3oHtuG0jZzsS0aNGiNtd5mj9/vhYsWOBXWQAAAKDHJvSdkZ6erscff1wbN25URkaGnE6nCgsLVVVVJUnuxD3Qsp2Rl5fn10yxvv5aAAAAALSlxyb0cXFxPlu8jWVGq7gvs2bN0pdffqkXX3xRr7zyiiRp7NixmjdvnrZv366EhARTZTsTU2xsrF8JPQAAABCIHpvQJycn6+DBg2pubvbqs270Ux85cmS729tsNs2dO1enTp1STEyMhgwZog0bNshqtWrUqFGmynY2JgAAACDYeuxLsVdffbXq6upUXFzstXzfvn1KSEjQFVdc0eE+oqKiNHLkSA0ZMkRVVVUqKipSamqq+vfvb6psMGICAAAAgqnHttBPmTJFkydPVm5urhwOh4YNG6aDBw/qyJEjWrp0qbuF/OjRo1q9erUyMzM1f/58SRdazIuLizVq1ChFRUXpxIkTstvtGjZsmBYuXOhVTyBl/Y0JAAAA6Co9NqGXpJUrV2rz5s0qKChQbW2tkpKSdP/992vatGle5ZxOp1wul/vnyMhIlZaWaufOnaqrq9PgwYN14403ymazeY03H2jZQGICAAAAuoLF5ZkJI+gcDocyMjK0detWXooFAACA3/zNI3tsH3oAAAAAHSOhBwAAAMJYj+5D35ssWbKk1SRVaWlpSktL66aIAAAA0BuQ0HeR9evX04ceAAAAQUeXGwAAACCMkdADAAAAYYyEHgAAAAhjJPQAAABAGCOhBwAAAMIYCT0AAAAQxkjoAQAAgDBGQg8AAACEMSaW6iLMFAsAAIBQIKHvIswUG1qNjY3atm2bbr31VkVFRXV3OAgyrm/vxbXtvbi2vRvXt2ehyw16hcbGRhUWFqqxsbG7Q0EIcH17L65t78W17d24vj0LCT0AAAAQxkjoAQAAgDBGQg8AAACEMRL6LrJ79+4ur/P3v/99l9fZnfV2l752nvvS9e1r57gvXVup753nvnR9+9o57kvXVupb59nf/JGEvouQ0Pdefe0896Xr29fOcV+6tlLfO8996fr2tXPcl66t1LfOMwk9AAAA0AeQ0AMAAABhjImlusjp06e1ePFir2XMFAsAAIDOIqEPMZfLJUkaMmSIHnnkkVbrHQ5HyOp2Op0h3X9Pqteor68cb1+rt7uub186x91VL7+7vbderm3vrpfr23V1Sn/PJ9ticXVUAp1y5swZLVq0qLvDAAAAQJjKy8vTpZde2uZ6EvoQczqdqq6uVkxMjCwWS3eHAwAAgDDhcrlUV1enhIQERUS0/eorCT0AAAAQxhjlBgAAAAhjJPQAAABAGCOhBwAAAMIYw1YiLNXV1WnLli0qKipSbW2tkpKSZLPZNG3atID3tXv3bm3YsEFWq1Xbtm37/+3dfUyV9f/H8SccrZB7xFlhgCBNIWUwizCMdKSbCLluLMtitkY3sz8sXQsb0/7gD21rrLFcsmFpUrMlUc5sK4wpGRgg98SIGN4QQSA3QsaB3x+M8+tw4Ctw7jjf7+ux8QfX9bmu87nOa59dby8+fi479FZmypp8L126xNmzZ6mvr6ezsxNPT08iIiJ45plnWLZsmQN6L2BdhrYc32Ifs81I43Pus9X4073VsVTQi0vKysqiqamJtLQ0goKC+PHHHzl48CAjIyM88sgj0z5PV1cXeXl5BAQEOGVNW5mcNfmePn2avr4+UlNTueeee+jt7eXkyZPs3r2b/fv3Ex0d7ZiL+B9nTYa2Gt9iP7PNSONz7rPF+NO91fFU0IvLuXjxIpWVlezevZvExEQAVq1aRUdHB3l5eaxduxaDwTCtc+Xk5BAVFYWXlxclJSX27LZMk7X5vvLKK/j5+Zlti42NJT09nRMnTqhgcABrMrTl+Bb7sCYjjc+5zVbjT/dWx9McenE5P/30Ex4eHiQkJJhtT0pK4q+//uLXX3+d1nmKioqoqanh1VdftUc3ZZaszXdisQDg4eFBcHAwnZ2dNu2rTM6aDG01vsV+rMlI43Nus8X4073VOVTQi8tpbW1lyZIlFk8JQkNDTftvpaenh8OHD5OWlvYf37wmjmeLfCcaGBigubmZ4OBgW3RRbsGaDO2Rv9iWrTPS+Jw7rM1W91bnUUEvLqevrw9vb2+L7ePb+vr6bnmODz/8kCVLlrBp0yab90+sY4t8Jzp06BBDQ0Ns3brV6v7JrVmToT3yF9uydUYan3OHtdnq3uo8mkMvTlVdXU1GRsa02mZnZxMWFmb1Z54/f57S0lKys7Nxc3Oz+nwyNWfkO9GxY8c4e/YsL7/8slbREJljND7/e+je6lwq6MWpgoKC2Llz57TaLlq0CBh7UjDZU4LxbZM9XRg3ODjIoUOH2Lx5MwEBAfT39wMwPDwMQH9/P/PmzeOOO+6Y0XXI5Byd70T5+fl8/vnnPP/882zevHnax4l1rMnQlvmLfdgqI43PuWe22ere6nwq6MWpAgIC2Lhx44yOCQ0Npbi4GKPRaDbPb3xuX0hIyJTH9vb20tPTQ0FBAQUFBRb7t23bRlxcHO+8886M+iSTc3S+/5afn8/x48d59tln9ad8B7MmQ1vlL/Zji4w0Puem2Ware6vzqaAXl/Pggw9y5swZSkpKWLt2rWn7999/T0BAAPfee++Ux/r7+5OVlWWx/YsvvqCmpoZ9+/bh4+Njl37L9FiT77jPPvuM48eP8/TTT7Nt2zZ7dlcmYU2Gtshf7MvajDQ+567ZZqt7q/MZ9u3bt8/ZnRCZibvvvpv6+nrOnDmDt7c3N27c4MSJE5w7d47XXnvNbB52dXU16enpAKxcuRKDwcDixYstfiorK7l8+TI7d+6cdFk1cRxr8gU4efIkn3zyCbGxsWzcuJHOzk6zH628YH/TzXCy/GaSvziHNflqfM5ts81W91bn0xN6cUkZGRkcPXqUTz/91PRq6j179kz6auqRkRFGR0ed0EuZLWvyLS0tBaC8vJzy8nKL9l9//bX9Oi4m081wsvE5k/zFOWabr8bn3GfN2BXncRtVGiIiIiIiLkvr0IuIiIiIuDAV9CIiIiIiLkwFvYiIiIiIC1NBLyIiIiLiwlTQi4iIiIi4MBX0IiIiIiIuTAW9iIiIiIgL04ulRETEJCUlxex3Nzc3FixYQEhICOvXr2fDhg24ubmZ9r///vv88MMPZGVlmd4GKiIijqWCXkRELKxfvx4Yextke3s79fX11NXVUVVVxZ49e5zcOxER+TcV9CIiYmHXrl1mv1dUVLB//36Ki4tJTEzkgQcecFLPRERkIs2hFxGRW4qJiWHdunUAXLhwwcm9ERGRf9MTehERmZawsDAAOjs7J91fU1NDfn4+TU1NAERFRbFjxw6Cg4PN2vX391NUVERZWRmXL1+mu7sbDw8PIiIi2LJlCzExMRbnHhoa4ptvvqG4uJiOjg6MRiN+fn6Eh4ezYcMGYmNjzdoPDg5SUFDA+fPnuXbtGgaDgbCwMB577DHi4+Nt8XWIiMwZKuhFRGRaBgcHAZg/f77FvtLSUgoLCwkJCSEmJobW1lYuXrxIY2MjOTk5+Pv7m9o2Njby0UcfERgYSFBQEMuXL+fPP/+koqKCiooKXn/9dR599FFTe6PRSGZmJvX19QQGBnLfffcxb948urq6KCsr4/bbbzcr6Lu7u9m7dy9tbW0sXLiQmJgY/v77bxoaGsjKyuKFF17gqaeesuM3JSLiWCroRUTklkZHRykrKwMgNDTUYn9hYSFvvPEGiYmJwFgRfuDAAUpKSjh16hTbt283tQ0KCuLAgQOsWLHC7BzNzc3s3buX3NxcEhIS8PDwAKCuro76+nri4uLIyMjA3f3/Z4sODAxw7do1s/NkZ2fT1tbGE088wfbt25k3b+xW197eTmZmJseOHWP16tUsXbrU+i9GRGQO0Bx6ERGZktFo5OrVq2RnZ9PQ0MD8+fNJSkqyaPfwww+binkAg8FgegpeW1tr1vbOO++0KOYBwsPDSU5O5saNG1RXV5u29/T0ALBy5UqzYh7A09OTZcuWmX7/7bff+OWXX1ixYgVpaWmmYn78c1988UVGRkb47rvvZvI1iIjMaXpCLyIiFiauRw/g4eHBrl27uOuuuyz2TTbvPSgoCBibAjOR0Wjk0qVLNDQ00N3dzc2bNwFMT9uvXr1qahsWFoa7uztffvkl/v7+rF69mgULFkza78rKSgDi4uLM1ssfFxkZCWCa5y8i8t9ABb2IiFgYX4fe3d3d9GKpNWvW4OXlNWn7wMBAi23jU2b++ecfs+2dnZ28++67tLS0TPn54/P1YewfBjt27ODjjz/m4MGDuLu7ExISQnR0NElJSYSEhJja/vHHHwAcOXKEI0eOTHn+3t7eKfeJiLgaFfQiImJh4jr0tzLZ0/CpfPDBB7S0tBAfH8+TTz5JUFAQHh4euLu78+2335KTk8Po6KjZMVu2bOGhhx7iwoULVFZWUltbS0FBAYWFhaSnp5OcnAyMvQgLxlbYWbx48ZR98PHxmdH1iYjMZSroRUTEYYaGhqisrMTPz4+33noLg8Fgtr+9vX3KYxctWkRKSgopKSkYjUaKi4vJzs4mNzeXxMREvLy8TH8pWLNmDampqXa9FhGRuUL/KVZERBxmYGCAkZERAgICLIp5o9E47ZdWGQwG1q1bR0REBMPDw6Y599HR0QD8/PPPtu24iMgcpoJeREQcxs/PD09PT1pbW6mrqzNtNxqN5OXlceXKFYtjqqqqqKysNE2nGdfR0UFbWxtubm4sXLgQgOXLlxMdHU1VVRWHDx82m4sPY1NyysvLLVbeERFxZZpyIyIiDmMwGHj88cc5evQob7/9NqtWrcLb25vGxkZ6enpITk7m1KlTZse0tLSQm5uLr68v4eHh+Pj4cP36dWpra7l58yapqammgh7gzTffJDMzk8LCQoqKili6dCm+vr50dXVx5coVrl+/zksvvURUVJSjL19ExC5U0IuIiENt3bqVwMBAvvrqK+rr67ntttuIjIzkueeeo7m52aL9/fffT19fH1VVVfz+++/09vbi6+tLZGQkmzZtIj4+3qy9v78/7733HqdPn+bcuXM0NTUxPDyMv78/YWFhxMXFkZCQ4KjLFRGxO7fRiUsJiIiIiIiIy9AcehERERERF6aCXkRERETEhamgFxERERFxYSroRURERERcmAp6EREREREXpoJeRERERMSFqaAXEREREXFhKuhFRERERFyYCnoRERERERemgl5ERERExIWpoBcRERERcWEq6EVEREREXJgKehERERERF/Z/9NfCcTKPcY4AAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc.fold(3.52254, phase=0.38).bin().scatter();" ] } ], "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 }