ml-finance-python

python scripts for finance machine learning

git clone https://9o.is/git/ml-finance-python.git

notebook.ipynb

(359277B)


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      7     "# Mean Reversion on Futures\n",
      8     "by Rob Reider and Maxwell Margenot\n",
      9     "\n",
     10     "Part of the Quantopian Lecture Series:\n",
     11     "\n",
     12     "* [www.quantopian.com/lectures](https://www.quantopian.com/lectures)\n",
     13     "* [github.com/quantopian/research_public](https://github.com/quantopian/research_public)\n",
     14     "\n"
     15    ]
     16   },
     17   {
     18    "cell_type": "markdown",
     19    "metadata": {},
     20    "source": [
     21     "Introducing futures as an asset opens up trading opportunities that were previously unavailable.  In this lecture we will look at strategies involving one future against another. We will also look at strategies involving trades of futures and stocks at the same time. Other strategies, like trading calendar spreads (futures on the same commodity but with different delivery months) will be topics for future lectures."
     22    ]
     23   },
     24   {
     25    "cell_type": "code",
     26    "execution_count": 1,
     27    "metadata": {
     28     "collapsed": false
     29    },
     30    "outputs": [],
     31    "source": [
     32     "import numpy as np\n",
     33     "import pandas as pd\n",
     34     "import statsmodels.api as sm\n",
     35     "from statsmodels.tsa.stattools import coint, adfuller\n",
     36     "\n",
     37     "import matplotlib.pyplot as plt\n",
     38     "from quantopian.research.experimental import continuous_future, history"
     39    ]
     40   },
     41   {
     42    "cell_type": "markdown",
     43    "metadata": {},
     44    "source": [
     45     "## Pairs of Futures (or Spreads)\n",
     46     "Before we look at trading pairs of futures contracts, let's quickly review pairs trading in general and cointegration.  For full lectures on these topics individually, see the [lecture on stationarity and cointegration](https://www.quantopian.com/lectures/integration-cointegration-and-stationarity) and the [lecture on pairs trading](https://www.quantopian.com/lectures/introduction-to-pairs-trading).\n",
     47     "\n",
     48     "When markets are efficient, the prices of assets are often modeled as [random walks](https://en.wikipedia.org/wiki/Random_walk_hypothesis):\n",
     49     "\n",
     50     "$$P*t=\\mu+P*{t-1}+\\epsilon_t$$\n",
     51     "\n",
     52     "We can then take the difference of the prices to get white noise, stationary time series:\n",
     53     "\n",
     54     "$$r*t=P_t-P*{t-1}= \\mu +\\epsilon_t$$\n",
     55     "\n",
     56     "Of course, if prices follow a random walk, they are completely unforecastable, so the goal is to find returns that are correlated with something in the past.  For example, if we can find an asset whose price is a little mean-reverting (and therefore its returns are negatively autocorrelated), we can use that to forecast future returns.\n",
     57     "\n",
     58     "## Cointegration and Mean Reversion\n",
     59     "The idea behind cointegration is that even if the prices of two different assets both follow random walks, it is still possible that a linear combination of them is not a random walk. A common analogy is of a dog owner walking his dog with a retractable leash. If you look at the position of the dog owner, it may follow a random walk, and if you look at the dog separately, it also may follow a random walk, but the distance between them, the difference of their positions, may very well be mean reverting. If the dog is behind the owner, he may run to catch up and if the dog is ahead, the length of the leash may prevent him from getting too far away. \n",
     60     "\n",
     61     "The dog and its owner are linked together and their distance is a mean reverting process.  In cointegration, we look for assets that are economically linked, so that if $P_t$ and $Q_t$ are both random walks, the linear combination, $P_t - b Q_t$, may not itself be a random walk and may be forecastable.\n",
     62     "\n",
     63     "## Finding a Feasible Spread\n",
     64     "For stocks, a natural starting point for identifying cointegrated pairs is looking at stocks in the same industry. However, competitors are not necessarily economic substitutes. Think of Apple and Blackberry.  It's not always the case that when one of those company's stock price jumps up, the other catches up. The economic link is fairly tenuous. Here it is more like the dog broke the leash and ran away from the owner.\n",
     65     "\n",
     66     "However, with pairs of futures, there may be economic forces that link the two prices. Consider heating oil and natural gas. Some power plants have the ability to use either one, depending on  which has become cheaper. So when heating oil has dipped below natural gas, increased demand for heating oil will push it back up. Platinum and Palladium are substitutes for some types of catalytic converters used for emission control. Corn and wheat are substitutes for animal feed. Corn and sugar are substitutes as sweeteners. There are many potential links to examine and test.\n",
     67     "\n",
     68     "Let's go through a specific example of futures prices that might be cointegrated.  "
     69    ]
     70   },
     71   {
     72    "cell_type": "markdown",
     73    "metadata": {},
     74    "source": [
     75     "## Soybean Crush\n",
     76     "The difference in price between soybeans and their refined products is referred to as the \"crush spread\".  It represents the processing margin from \"crushing\" a soybean into its refined products. Note that we scale up the futures price of soybean oil so that it is the same magnitude as the price for soybean meal. It certainly seems from the plots that the prices of the refined products move together. "
     77    ]
     78   },
     79   {
     80    "cell_type": "code",
     81    "execution_count": 2,
     82    "metadata": {
     83     "collapsed": true
     84    },
     85    "outputs": [],
     86    "source": [
     87     "soy_meal_mult = symbols('SMF17').multiplier\n",
     88     "soy_oil_mult = symbols('BOF17').multiplier\n",
     89     "soybean_mult = symbols('SYF17').multiplier"
     90    ]
     91   },
     92   {
     93    "cell_type": "code",
     94    "execution_count": 3,
     95    "metadata": {
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     98    "outputs": [
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KDAD4cvfZiI2JYgNL44iIiIgoYlIS9ACAmkYbAKAvFcPZ7fZID4G87HY7dDpdp17DjBAR\nERERRYwUCNU2iIGQ1e6K5HBCptPpOn3h3ZFjx4516/FiyYX8/2BGiIiIiIgiRqtRAQBcbg+AwEBI\nEAQoFL0zR6RQKKDX67v9uOE4JrWOGSEiIiIiihinyyPfdrk9AYFQs61vZIeob2IgREREREQR43S5\n5dsf/uc4rH7BT32TLRJDohjBQIiIiIiIIkbKCCkUwPpt+djs1y3unX8fhSAIkRoaRTkGQkREREQU\nMVIg9PwvL4VBp0JhWaP8WO7JSpwsqovU0CjKMRAiIiIiooiRAqHhGYm46cpR8v2D+8cDAL7aw/2E\nKDwYCBERERFRxEhrhDRqJQb1M8n3/27Bj5CeYsT3B0thsTkjNTyKYgyEiIiIiChipIyQRq1EeopR\nvt9k0GDOJUNgc7ix41BZpIZHUYyBEBERERFFjC8QUqG/XyBk0Kkx+5LBUCiAr/aci9TwKIoxECIi\nIiKiiHG6PFAqFVApFUiO920mqlErkZ5sxEWj++FEUS3+tu4wahqsOFlUG8HRUjRhIEREREREPaK2\n0YbvD5TC7fG1xHa6PdCoxUtSpVLR4jUP3DgR8UYN/rOjEC+9vwdPv/U9yqube2zMFL0YCBERERFR\n2FlsTty3ZDOWrtyH3UfL5ftdLg80Kt8l6Zv/exX+9NgV8s9DBybg1z/LAQDkFdfDIwDf5hb33MAp\najEQIiIiIqKwq2uyy7cr66zybYfTLWeEAGDEoESMHZoS8NqcUWkBP2/JLeZGq9RlDISIiIiIKOwc\nTrd8u77JJt/2L41ri1GnDvj5fI0FJ7hWiLqIgRARERERhZ3UHQ4IzA45XR0HQjqtCsHLh7bsY3kc\ndQ0DISIiIiIKO/9AqL5FIKRq97UKhQJ6b1YoMz0OqYl6bD9YGpBlkpw6W4v7lmzGsYKabho5RSsG\nQkREREQUdk6XL2ip8y+NCyEjBPjK40x6DaZPHIhmmwuFZQ0tnvfNvmLUNtrwzNvbcSS/GsUVTd0w\neopGDISIiIiIKOwcbWSEXC53SIGQRiNmjfQ6FRLjdQAAi83V4nmJJp18e9GyHXho6RaUVZsveNwU\nvdQdP4WIiIiIqGsCSuPMdjz/j51IMGnhERBSICQtEdJr1TB4s0M2R8tAyGJzAgB+NGEAzFYnjhXU\noK7Rjoy0uK7/IyiqMCNERERERGHn9K7nSYrTQRCA/acq8e3+EgDocI0QACi8kZBarYReKwZCVnvL\nQKjZGwj98qaJmDS6HwBxryKiYAyEiIiIiCjspIzQL24Yj3Wv3YD7bxgvPxZKRkjOCQm+9ULWVkrj\nmq1iIGQyaKBWia9xuhkIUUsMhIiIiIgo7KQ1Qlq1Chq1CikJevkxjarjS1Kl9ykeQYBB7w2EHC27\nxjVbxeDIqFPLmSYnM0LUCgZCRERERBR2UjCi9mZ/kuJ9TQ102lBK43wbCUlrhNoqjTPoVFCplHKm\niaVx1JqwB0J2ux1XX3011q9fj/Pnz2P+/Pm499578fjjj8PpFFOXGzZswLx583DHHXfgs88+C/eQ\niIiIiKiHSe2ztRrx8jMxzhcIDUg1dfh6KQwSBAF6b+DUaiBkdcKk1wAA1N5Mk9PdMnNEFPZAaNmy\nZUhKSgIAvPnmm5g/fz5WrlyJIUOGYO3atbBarVi2bBk+/PBDrFixAh9++CEaGxvDPSwiIiIi6kEO\np5iV0bSSEcroF0Ig5M0ICQJ8pXFtrBEyGTQBv8vpErowcopWYQ2ECgoKUFhYiJkzZ0IQBOzduxez\nZs0CAMyaNQs//PADDh06hJycHJhMJuh0OkyZMgX79+8P57CIiIiIqIfJGSHvup0Eo1Z+bFC/jltb\npySKa4oSTFpfaVxQ+2xBEGCxOWH0ZoSktUcuFzNC1FJYA6GlS5fimWeekX+2Wq3QaMQ3ZmpqKior\nK1FTU4OUlBT5OSkpKaiqqgrnsIiIiIioh0lrhKQsjcqvQcLAEErjHr3tIlw7fRjuu348DG20z7ba\nXfAIkDNC0nokp5sZIWopbBuqrl+/HpdccgkyMjJafVwQWn9DtnU/EREREfVdwYEQAPRLNqC63gq9\nruNL0rQkAx6aNwmAeL2oVLQsjWuyiOvP44zBpXHMCFFLYQuEtm3bhpKSEnz55ZeoqKiARqOB0WiE\nw+GAVqtFRUUF+vfvj/T09IAMUEVFBSZPnhzS78jNzQ3X8GMWz2l48fyGD89tePC8hhfPb/jw3IbP\nhZ7b8opaAMCpUydQVSpegv56bgoEQbigY2rUCtTWNwW8trDCBgBw2xqQm5uLwvPiz+eKS5Gb23RB\n4+5pfO/2nLAFQm+88YZ8+6233kJmZib279+PL774AjfeeCM2b96MK664Ajk5OVi8eDHMZjMUCgUO\nHDiAZ599NqTfMXXq1HANPybl5ubynIYRz2/48NyGB89rePH8hg/Pbfh05dxuObEPgAVTLspBaqKh\ny2MxfV4NhUoZMJ7qXWcBVGPKxJGYOnUo9AU1wJbt6JfeH1Onjm/7YL0E37vdr73AMmyBUGsee+wx\nPPXUU/jnP/+JjIwM/OxnP4NKpcITTzyBBQsWQKlU4tFHH0VcXMcL5oiIiIio7/CVxnW8Z1AojHo1\n6prsEARB7ihXUdsMwNeO21cax32EqKUeCYQeeeQR+fZ7773X4vG5c+di7ty5PTEUIiIiIoqA1tYI\ndcXwjESUHCxFWXWz3HWuvLr1QMjlZiBELYV9HyEiIiIiik1rvjmNJ97cBqfLDYdTap/dPZef2SNT\nAQBH8qrl+87XWqBRK5GSILbaljdUZUaIWsFAiIiIiIjC4nBeNU6fq8fJs3VwujxQKgLbZnfFhBFi\nIHTybK18X4PZjuR4HZRKsVSOpXHUHgZCRERERBQWUhbo4OkqOF1uaDTdsz4IAPolGwEADWaHfJ/Z\n4kCc30atLI2j9jAQIiIiIqKwkAKhQ6er4HB5oOmmbBAA6LUqqFVKNDbbAYhZH6vdjXjvHkIAS+Oo\nfT3aNY6IiIiIYofdKQYgZ4rrYNCpEW/SdvCK0CkUCiSYtGhqFjdRNVvFzBAzQhQqZoSIiIiIKCyk\njJBHAJptLrm7W3dJMGnljJDZIgZE8a0EQswIUWsYCBERERFRWNidbni3+AGAsARCzTYX3G4Pmixi\nRsi/NE6lbDsQEgShW8dCfQ8DISIiIiIKC4fTjcz0eBh04mqMQendGwhJ2Z8mi1POCMUZfBkhpVIB\ntUrRojTOYnPixic34L2Nx7p1PNS3MBAiIiIiorBwON0w6tTIGZUGABiU1s2BkHfNUWOzvdWMECCW\nxwVnhM6WNwEA/vVtXreOh/oWNksgIiIiom7n9ghwuQVoNSrMmz0a8UYtxo9I6dbfkWDyZYSapDVC\nQQ0Z1Cpli4yQy8M1Q8RAiIiIiIjCQGqUoNUokTU0BVlDuzcIAnylcf4ZoThDxxkhN7vIEVgaR0RE\nRERh4AuEum8T1WAJcmmcE2fLGwEAA9NMAc9Rq1UtMkJ2hztsY6K+g4EQEREREXU7uzcQ0vVIIGTH\niaJapCcbkJpoCHiORqVokRGy2F1hGxP1HQyEiIiIiKjbSRkhnTZ8gZDUGOHU2To0NjuQNaxl+V2c\nQQuzxQGzt3QOAKwMhAgMhIiIiIgoDBxOMQsT3tI4HQDg4JkqAMC4VgKhS7MHwuUW8N3BUvk+i42B\nEDEQIiIiIqIwkNbhaNXhu9yUOsRJv6u1jNDlORkAgOMFtfJ9FpszbGOivoOBEBERERF1O0cPrBEy\n6dVQKhXi79GqMHxgQovnxHnL5xwuX4MEKzNCBAZCRERERBQGdlf4u8YpFAokeFtojxmcDJWq5aWt\nxpuR8m+Y4N8sQRCEsI2PejcGQkRERETU7XqifTYAxJvEjE/WsORWH9eoVQHjAQKbJQR3lKPYwUCI\niIiIiLpdTwVCUsOE1holAIBKqYBKGdhC23+NkH+ARLGFgRARERERdTu7t2ucThPey82MNBN0WlWr\njRIkWo0yYI2Qf9c4OwOhmKWO9ACIiIiIKPo0W8Wsi9GgCevvWXDjRMybPRrx3rVCrdGoVXI7bwAw\nW30ZIQZCsYuBEBERERF1uwazHQCQFKcL6++JM2gQ10GwpVUr4fTLCDV6xwYgIECi2MLSOCIiIiLq\ndvU9FAiFQqNRyWuEnC4Pmv1K47hGKHYxECIiIiKibtfQJAZCifGRD4S0aiVqGmxY+tE+1DbaAh6T\nNmOl2MPSOCIiIiLqdvVmOww6dVg3VA2VtJfQ9wdL0S/JEPAY1wjFLmaEiIiIiKjbNZjtvaIsDvDt\nJQQAn+8oBADEG8V1RSyNi10MhIiIiIioW3k8AhrMDiTGtd3JrSdp/Vp4S4FPv2QjAMDmcEEQBLm5\nA8UOBkJERERE1K2abU64PQISe2FGSDJ0QDwAoK7RjjXfnMHPl2xGRa2lp4dGEcRAiIiIiIi6VUWN\nGFCkJuojPBKRlBFKjNNi1OAkAMCIQeJ/K2ot2Li9AB6PgIra5oiNkXoeAyEiIiIi6lZnSuoBACMz\nkyI8EpHWmxFSq5T49U3ZmDEpA5fnZAAAvjtQgnpvhzubneuFYgm7xhERERFRt8orFgOh0YN7RyCk\nUIj/VauUGDc8BeOGp0AQBGjVyoA9hWwOVxtHoGjEjBARERERdav80npo1EoM7h8f6aEAAFxuAQCg\nVink+xQKBVKDWmnbuKdQTGEgRERERETdqq7RhtREPdSq3nGp6XJ7AKDFeNISxUDokvH9AQA2OzNC\nsaR3vDuJiIiIKGqYLU7EGTSRHoZMCoRUQYHQtAkDMHpwEmZfMgQAM0KxhmuEiIiIiKjbOJxuOFwe\nxBl6xx5CAOByiYGQJigQunnmSNw8cySOFdQA4BqhWMOMEBERERF1iSAIqGu0AQDMVicAwGTsPRkh\nt8e7Rkjd+qWvXit2lbMzIxRTGAgRERERUZd8sessfr5kM/adqIDZ4gCAXlUa53RJa4QUrT6u14lF\nUlauEYopDISIiIiIqEv++fVpAMCWfcVyRqg3BUJSG+8xQ5JbfZwZodjENUJERERE1CVOlxhAqFUK\nORCKN/aeNULzrxuHMUOSMT17YKuP67TiJTGbJcQWBkJERERE1CUOp1h6Vt9kh9nizQj1ojVCeq0a\nM6dktvO4mBFis4TYwtI4IiIiIrpgZotDXltzvtYCs1VaI9R7MkIdUauUUKuUDIRiDAMhIiIiIrpg\nZ4rr5dsVtRZ8tfscgN61RigUeq2KpXExhoEQEREREV2wk0W1AICLx/WHTqNCUXkjACAlUR/JYXUa\nA6HYwzVCRERERHTBTngDof+5czLiDBrklzbAYnNicP/4CI+sc/Q6NRqbHZEeBvUgBkJEREREdMHO\n11iQHK9DYpwOQNstqns7g06NilpLpIdBPYilcURERER0wRwuN7QaVaSH0WUmvQZOl0duBU7Rj4EQ\nEREREV0wl9sDjbrvX1IaDWKhVLOVneNiRd9/1xIRERFRxDhd0REImfRilzuLzRnhkVBP6fvvWiIi\nIiKKmGgJhAx6MSNksTEjFCv6/ruWiIjoAgmCgG/2noPZyhlgogshCII3EIqONUIA0MyMUMxgIERE\nRDHrqz3n8H8/OYClK/ZGeihEfZLLLQAANKq+f0lpZGlczOn771oiIqIQmS0O7D9VKf9cXNEEADiS\nX9Op4xSWNWDLvuJuHRtRXyR1WFNHQWmcSc9mCbGG+wgREVFMsDvd+MWLX8LucOPN/70KIwYlwiOI\ns9lKReeO9d6GYzh4pgrTxvdHnFEbhtES9Q1OlwcAomKNkNHAjFCs6fvvWiIiohAcyauG3SHOXheU\nNgCA/LOyE5GQIAjI977eYufMMcU2l9sbCEVBaZyUEVq79QwcTu4lFAv6/ruWiIgoBHWNNvm2VBJX\n672vM4FQTYMNTRYHAF8gRRSrpIxQNJTGSWuEahvt2PRDYYRHQz2h779riYiIQlDXZJdvn/MGQjUN\nYiDkcHogeMvkOlJQ1iDfZiBEsS6qSuP0vhUj7CQZG/r+u5aIiCgE9WZfIFRU1gBBEFDrDYRcbg+a\nQ7zwKfQLhGwOlsZRbIumQCgt0SDf5iRHbOj771oiIqIQSKVxOaPSUN1gw8HTVQHBkX/GqD2FpY3y\nbTvXEVALPQccAAAgAElEQVSMk7rGRcM+QnqdGn99+scAgAZzaJ8H1LeFtWuczWbDM888g5qaGjgc\nDjz44IPYvHkzjh49iuTkZADAAw88gJkzZ2LDhg1YsWIFVCoVbrvtNsybNy+cQyMiohhTb7ZDoQBu\nmz0ah/OqsWLT8YDH65psGNw/vsPjBGaEGAhRbIumjBDgywo1NDsC7t99tBy5Jyvxm1tyOrWmkHq3\nsAZCW7ZsQXZ2Nh544AGUlZXh/vvvx5QpU/Dkk09i5syZ8vOsViuWLVuGtWvXQq1WY968eZg7dy4S\nEhLCOTwiIoohdY12xBu1mDS6HzLSTMgrEQOa9BQjKmstqGvseAbYYnOivKZZ/tnO0jiKIW6PALvT\nE3Cf3DUuSgIhvU4NvVbVIiP00vt7AAA3zBiOIQN4fRotwvquve666/DAAw8AAMrKyjBw4EAAaLEg\n9dChQ8jJyYHJZIJOp8OUKVOwf//+cA6NiIhiSO7JCpRWmZEcr4NCocBPLh0qPzZheAqA0ErjzpY3\nQRCA5HgdAK4joNiy8fsC/HFdudxtEfDLCEVB+2xJYpwODW18HjRZ2EQhmvTIu/bOO+/EU089hUWL\nFgEAVq1ahfvuuw9PPPEE6urqUF1djZSUFPn5KSkpqKqq6omhERFRlKuss+C1FXsBABeP6w8A+PHF\nQ6BWieUt44enAgDqm2ytH8BPYbmYRcoaJn5nsTSOYsnJs7VwuQWUVprl+6KtNA4AEuO0qDc7Wu0k\nKTVYoegQ1tI4ySeffIKTJ0/iySefxKJFi5CUlISsrCz84x//wFtvvYXJkycHPD/UFqa5ubnhGG5M\n4zkNL57f8OG5DY++fl4FQcCqb2tgtbvx02nJyB5ok/9N2cMMOF1qA6znAQB5RWXIzW3/ImfPoToA\nQLzaAgAoKCpGbm5Dey9pV18/v70Zz233KyoRJ6kPHDkBR4MRAHC6SPxbKCsrQW5ufcTG1q1cNrjc\nHmzfuQ8atQLvbK6UHzp0/AyMnvNh/fV87/acsAZCR48eRWpqKgYOHIisrCy43W6MGTNGzv7Mnj0b\nL7zwAq655hps3bpVfl1FRUWL4Kg1U6dODdvYY1Fubi7PaRjx/IYPz2149PXz+vWec3jz0wMAgItG\n98Ovbp8OhcK3yPmiizzwCALcHgFv/+c/UGpMHf57P97+HdQqC66aPhFfHtiB1LR0TJ064YLG19fP\nb2/Gcxseb278AgCwZnstRvx8BGZMGoQ69zkAtRg1YhimTh3a/gH6iMNlx3C6LA9J/YfDpNegor5U\nfswQn4apUyeG7Xfzvdv92gssw5rH3LdvH95//30AQHV1NSwWC55//nmcOnUKALBnzx6MGTMGOTk5\nOHr0KMxmM5qbm3HgwAG+CYiIqEsOnfGVWD9826SAIAgAVColNGoV9Fo1jHp1SGuEahqsSEk0IM4g\n7kDPNUIUK5wud8DfyGsr9on3e5slqKOgfbZk1OAkAEBecT3M1sDucf7ro6jvC2tG6K677sKiRYtw\nzz33wG634/nnn4fRaMTChQthMplgMpnwyiuvQKfT4YknnsCCBQugVCrx6KOPIi4uLpxDIyKiaOeN\ne1741aUYkGpq96nJ8XrU+NX+2xwulFSaMSozSb6vvsmOerMDwzISoNOKF33cR4hiRXV96wGAbx+h\n6FkjNNovEEpJ0Ac8VsM1QlElrIGQTqfD66+/3uL+devWtbhv7ty5mDt3bjiHQ0RdZHe6ceezm/CT\nS4fiN7fkRHo4RADEjQ8/+Pw4fnbVyIC2tlab2Np6zJDkDo8xMM2E0iozzBYH4oxa/P+r92PnkXK8\n9sgMjB+eilNna/Hkn78HACSatNBrxa9PNkugWFFVb2n1flcUNkvon2JEnEGDMyX1GDM08PODzRKi\nS/S8a4ko7GobxAWk/9lRGOmhEMlefn8Pvt57Dp98dTrgfpt3jx8paGnPoH5iFUJpldgNa+eRcgDA\nmWJx8ffeExXycxNMWug0qoDfQRTtquqsLe57dcVeNHo3Ho2m9tkKhQKjMpNQXt2MEr8OeQBQ02gL\nuakX9X7R864lorDjhz/1NoIg4ERRLQCgsTlwjY/N7oZapQxppnpQP7F0TgqEJK5W9khJMOmgl0rj\nmBGiGFHZSiC041AZ/v1dPoDoyggBvnVC+7yTIK88eDkuGd8fDqcbzVbuJRQtoutdS0Rd0tF6B4fL\nt6O428OgiCJP2tUeAM6dbwp4zOpwwaALbQH3oHQpI9QccH+Dd7bb/28jMU4LlUoJtUrJQIhiRlVd\nG6VxbvG7IFoDoep6q/xzaqIBgJgVougQXe9aIrpg3x8sxbxnPseOw2VtPsfhdzHIOmnqDRxOXyBU\n12THZ1vOyD/b7C7odaEthZVL44LKYKSLoLpGX7YpwaQFAGg1SjhcDIQoNlR5/xbuvSpNvq9/ihEj\nMxMBAPHev4toMdqvUYpBp4JBp5YbJ4TSMMFsdWLHoTJWUvRyDISICADkdT+b2ln/4/TLCFW2MTtI\n1JOCA5GPNh2X35tWuwuGEAOhlAQ99FoVSqvMcPtlmaRAqN7sC4RUSvGrU6tWBQRiRNGsqs6KBJMW\nozL0mJKVDgCIN2rwyoOX4w8PXY6MtOjq9tsv2SDflhqupCaKgVAoE4Evvbcbr67YG7C+kHofBkJE\nBACQtlhpb/LKPyN0vqa57ScS9RApOJ81NRO/uH48PALwn+1iMG+1u2EIoVECIC6OzugXh7Lq5oCg\np7ymGU6XB3VNvgsfqVGCRqOUWwcTRTNBEFBVb5WDA6dT6hSnglGvwcSRae29vE/y33dseIaY9ZIC\noZrGluulgh0rqAEAlFQ0dfBMiiQGQkQEAFB6P/Q97URC/hkh6UOeKJKk96RWo8KNV45AUpwOm3ef\nhdnigMvtgT7ENUIAkNkvDg6nG/klDfJ99U12fPrVKbk07q65Y3HZpAzxd6pVAevmiKJVY7MDDqcb\n/ZLEQEjKxGo10X0ZefdPsgAAM6dkAkDIpXH1fhvPBnedo94lut/BRBQyv8mvNvmXIR08U8XaZ4o4\nKUupUSuhUatw3WXD0Gx1yqWeoZbGAUCGd53QtgMlAIA75oxBerIBn359GrWNNmSPTMPdP8mCSin+\nsWg1Sji5oSrFAKl1dnqyEYD/313oEw190e1zxuCjF66RN1aWmiV0VBp3JL9avv3VnnM4UVgbvkFS\nlzAQIiIAvjIATzvd4PzXQ1TVWdFgdoR9XMGWrT2EFZuO9/jvpd7J6fKV6ADANZcNg1qlxKdfi3sK\nhdosAfB1jvvuQCmUCmDupUPxP3dNkR//8cWDA57PjBDFCmkzVak0TgoIBqQYIzamnqBSKpAUr5N/\njjdqoFErW3SN83gELP1oH5a8swsAcCSvOuDx1ZtPhn+wdEEYCBERAEBKCAWXxu05fh6/efUbvLvh\nqLweQu3dU8Vi79m9FJwuDzbvLMK/vs2H1c6NLMk3M631tu5NjtfjRxMHyAFSqGuEAN9eQgCQPSoN\n6clGZI9Mw8+vG4dJo9Mwc8qggOeLa4Q87U4eEEUDKSPUL0kMfP7nzsm45apRuO/68ZEcVo9TKBRI\nSdAHZITqmmxY+tE+fH+wFPtOVKDZ6sThvCoYdCr8Y+EcAEB+aQMrKHopBkJEBABQeMt9gj+sv95z\nDqVVZmz8vkDOCCWYNAB6fjPJqjoLPIK4d8zB01U9+rupd5IyMhq/tQpZQ5Pl253KCPXzdb0aPdh3\njNtmj8FLv7m8RRmQ1vuz082sEEU3qXW2lBFKjNPh/p9O6NTfV7RITdSjvskGt9uDI/nVeOi1LQHb\nThw6U4XSqmaMH56KgWkmTM8eiCaLA7Xce6hXYiBERAD8myUE3i8FO26PgJoG8csw3ijuF2Gztx0I\n/evbPPz6la/x7F93BLQj7opyv051e4+f75ZjUt/mkpol+AUpo/z2/zDqQ79QM+o18m1pb5T2SBtI\ncp0QRTObwyV/3krNEmJZSoIeHkFsqf/vbfkwW5341U0T8dC8SQCAP3y4FwCQM0rspDdikPhZkl/a\ngMo6C9Z8c7rbvhOp62IvlCeiVkmBUHBGyO53kZdXUg/At3GezdF6eVqD2Y73Nh4DIAYvNQ02pHdD\nLfn5al8gtO9EBTweAUplCF0eKGrJ3av8drWXLjwA4LLsgRd0XKldbnu03jbaXCdE0WxrbglKq5ox\ncWRqwHqZWCWtj6ppsKGx2QGlArhhxgicOlsX8LxsbyA0uH88AKCsqhlb9hVjx6EyZKbHY/oFfjZR\n92IgREQA/PYRCrqmCwyExLbCckaojdK44PU77a3n2XeiApnpcRiQamrzOZLyGnHB7pAB8Th3vgl5\nJfXyRncUm6RyTY3GlxEy6jV48p6pSE7QYciAhE4d76X/cxlOnK1FRlrH70cpI+RgRoiiWJV3g+K7\n52YF7K0Tq/xbaDc2OxBv0kKpVGBYRgISTFq4PQKunjYEIweJmen+3k57+SX12H20HABwvLCGgVAv\nwUCIiAD4BUIIzAj5X+Q1W8XmCAnejJC9jYxQ8NqhtgKhyloLlryzC2qVAv9aemOHY5Q2cb3xihF4\na80h7D1ewUAoxkkNPDTqwEpvad+Pzpo0ph8mjekX0nOljVWdQRkht0eA2eJAYhxnz6nva2wWu4My\nGySSNlWtbRQDocQ48fvQoFPjg+fmQq1SBgSM0rqq7w6Wyo1V1m/Lx7WXDUNGWhwosrhGiIgAiBdv\nAFBY1oilH+2T77c73Ig3agL2GfLPCO04XIb//lAYcKzgkjlLG4FQRa040+hyh9ZNp7ymGUa9Gldc\nNAhqlQJ7uE4o5kkZIW0E9jORGjS8t/GY/PcDAB98fgz3Pv8FCssa2nopUZ/RYBY3B5UmwGJdijcQ\nqq63otnqkL8PAbGNf3DWLMGkhU6rgscjQK1SYNhAMUu96r9sqd0bMBAiIgCBs9rfHyyVbzucbsQb\ntRiQ4isV8gVCLvxt7WEs//fRgLVFUjmdySAuPre1EQid92t+0BFBEHC+xoIBqSYY9RqMHpyMwrKG\nXr3o9Gh+tRzsUXjIGaEI7HAvBV/7TlTgO+8mrIA42wsA+09W9viYiLpbg1lcB+N/wR/LpIxQcUUT\nPELHAaJCoZA3op02YQCWPnoFALHZAkUeAyEKu7+uPYR3/n000sOgDgSX90gpfLvTDZ1WhSED4uXH\npA/+/NIG1JvtcLo8AWuJpNK4ZG8pRVulcf5d4DraY6G20QaH042B3rVE/ZIMEITe+2VisTmxcNkO\n/PLlryI9lKjmlLvGRSIQ8v1Os6Xlnlp2rh2iPsbl9uBkUW3A3liNzXZ5HQz51ggVljcCCC1Tlu4t\nj7t62lAYdGoYdOpWPzN6u+KKpqjbD4mBEHWLo/nV2LzrLDbvOouz3g8HACgqb8SmH4qweVdR1P3x\nRBtXUCAklUM4nG5oNa0HQv4z3v4f6lIThaQOAqHzNb5syfufH2/3PfL5drH8bkCqOLMmlSfU+G1s\n53J78PqqXGzZd67N4/QUs7Xvfcn1RfI+QhEpjfP9Tv+1ddIFY7ON7wHqWz74/Dh++5fv8fVe32do\ng9mBBBPXB0n03k2aK73Z/lAyZTfPHImfXTUKk8emAwDijBo0WR3hG2QYfL3nHB5augX/+jY/LMeP\nVHUHAyHqsrJqM5792w94a81BvLXmoNxDHwA27RAvXm0ON+qbeufMPYmCN4WsbrDC7fbA5Rag06gw\npL8vEJI++KVFtEDghb+UEUqKazsQcnsEnD7nazf6r2/zUFJpbnVs9U12fLblDADI9dXSrJz/JnU7\nD5fj2/0leOPjAy0yXD2t2e98vPHx/oiPJ1pJzTyCmyX0BP+MkNXme4/rvGV6NfXcQJH6lu8PiiWe\nJ4tqAYiTS2arU24IQCL/rpKhbCp70Zh0LPjpBKi8kyTxBm2fywhJm8Zu21/SwTM7djivCl/v8QXb\n3+4vwbyFn+Pc+cZ2XhUeDISoy9Z/mw+PR8Bts0djYJoJlXUWCIKAZqsTW3OL5eeVVYe+HoR6XvCF\nenW9TS7tETNCvjbE8SYNgjVZfEGR9Lr2MkK7jpS3WD/T1s7bJZVNAIAxQ5JwxUWDALQeCH25+6x8\ne9+JyDZS8A8Mt+wrxqEzVREcTfSSS+M0kc0INfhNCkiLpcU9tKwskaM+Q5rEki7upcmuRGaEAjxx\nz1T59oVMwsQZNbDaXXD14jWuwaSKDWU3RA7P/vUHvPnpAbnJzBc7i+ByCziSX9P1g3cSAyHqstyT\nFUgwaXHPNeOQmR4Hp8sDi82FrbnFsDncGOidOenMwnjqecGlcf4XcDqtCpnpcVAqAJVSAaO+ZSBk\n9g+EvF3j5EDIFhgICYKAz7achkIRuPlldb211bGVVonvnWunD4NKJX5sSaVxtX6lcVLABADl1ZFt\nUtAcVBrnX8JH3UfKCEV6jZBUSupyi59/AFBQ2oBf/P5L3P/7L9lBjvoE+TPfG+Rv/L4AADA8o3P7\ncUW7MUOS8enL1+G+68fj+suHd/r1cUbxOzT4e6I3kyrXu3MvKavNidpGG44XigEQM0LU59Q0WFFZ\nZ0XW0BSolAq5FCqvuB5rt+ZBrVLgnp9kAQDKmRHq1aTuW5LqeqvcmlinUUGrUWFgWhwMOjX0Wt9M\n+OjB4qZx/ml+X2mcGKxYg9ppHzpThbySBlyWk4GH500K+J2tKasSS+Yy+vn2XEgNygg5XR7UNNrk\n0oPG5siWYgZ/wRVXNLXxTOoKqaQzEmuE/Nu+S4GQNIOuVCowc3ImLs/JQJPFgb+uPdzj4yPqLOk9\nLWVYvztYinijBjfNHBnJYfVKRr0G8348GoYQSuOCxRnEUkP/SoreTmqg0dWmGf7VJ2arEz8cLpOD\nrLPne/57khuqUpecPCuu8cgaJm5qmey9OF389x8AADdcPhyTRoubE546W9fKEai3aLFGqN4mZ3ak\n2cFHb78IzTYndFrfR8elEwfiTHE9mlpplpCc0Hpp3NoteQCAebNGY9TgJLz921l4+I9bUdVmRkgM\nhAb5BULSe62m0QZAi5oGKwQBGDUkCafO1gWsX4qE4GYJkZjpimZrvjmN44W1qKgVJ1i0EWif7f++\nrqyz4svdZ1HqXed2zaVD8eCtYpD/v/93G84U18Hpcnc6YCutMkOnUSEtydB9AyfqiPfK1GxxID3Z\nKDcIoO4R591aoi811fFIpXFdzAjV+ZWzW2wu7DhcBoW3Pfs5BkLU10ilSMMzxPKmJL+d1G+8YgR+\nedNEKBQKjMxMxNGCaljtrguaPaHwa7FGqMGXEZJmByeMSJUf16qV0GlV8n1maytrhOJaL407XliD\nYQMTMMqbTZIu8sqqmuH2CHJWBxAzK0fyq5GSoA9oU2rQqWHUq72lcVpU1omlcKMye0cgFJwRKixv\nhCAI3VpWEMv+/V0+Gszi/2OFIjJrhOxO3/u6vLoZf/nnQflnaQ0bIJbRnCmuR2FZI8YMSQ75+IIg\n4Jm3t2Ngqknee6Sr8krqodeqkJke3/GTKWY5XB64PQIsNhf3DwoDqTSuLzVMkK4RutoBuLrBN+FZ\nWmnGsYIajBuWAp1GhQOnq2BzuHo08GZpHHWJ9EcsdZSRMgAAcPucMfJF39Ss/nC5BRwr6PmFcBQa\np8uDzPQ4/H3hbKQk6FusEQp2x9Vj8fPrxsvBSZPFiQazHRabUy6NizdqoVIqAmbOHU43HC6PvH4I\nEEsMkuN1OJJfjV+98hX++0MhHE43ahtt2PRDISw2F356xYgWQURKgl4ujausFT9ch2ckQKlU9LpA\nqL7JznVC3cRqd6HB7MDYocn4zS05+P/umByRCZbrLhuO8cNT8OOLB+PySRmYc8kQ+bGLx/WXb48Z\nIgb8nf38M1udqG+y40xxfbd1HXz8jW148LUt3M6A2uVwuuXPMOminbpPnLHvlcZJ2StLG9thhMq/\nm+bXe89BEIDLczKQ6J04bTT37Dnh1Dx1ifRHLM0YmfwW0Sf6ZYekBfEllU0BFwjUO5RWmeF0eZAY\np0NGWhzSkvQoKG2UA5rWyo5unzMGAFDXJH6oNVkc+O2fv4dKpZBL2PRaFVKTDCgqb0R9kx1J8Trf\nl6sh8Mv1xf9zGTZuL8DWfcVY/u+jOHm2Dlv2iV0HjXo1rp0+rMUYUhL0KKk0w+UW5IxQerIRCUYt\nThTV4ofDZbgsJ6MbzlDnSV8aV04ehJQEPdZvy8eZ4jqWOHUDaf+OYQMTLmihcneJN2rx2iO+TI3F\n5pT3X/FvAnLRmHRoNSqs25qHuT8aCpMhtAtLac2cy+1BSWWTnHm/UP77dJyraMLQAVwATz7+wbbd\n6Zaz/MGf1dR1/bzfA8GdU3szqSGSpYvlfP4l8PtPiXsRTpswABXe7/CGZjvSU4xd+h2dwYwQdYmU\nEZJmN6Q9Xq69bFjA86QL47b2iaHI+s2r3wAQS4wAIDXRAJfbg6p68YNJp2l7zkQKgmsbbCivaUZJ\npRl7joutq3VaFW6ZORI2hxtrtpwG4AsQgi8Ghw5MwCO3XYSJI9PgdHnkIAgQZ95bu3iUOsc1Wd2+\nQCjFCI03cPvDh3sjNvMtBXwP3pKDi7PE4P9McX1ExhJtpIuH/j34ZRkKo16DN//3KixfNCcge5mS\noMe8WaNQb7YHbCnQEf8Lhu7oOue/HmHv8YouH4+ii392wuF0y9/voQbuFDrpmkha/9oWp8uDHYfL\nIr4PnSAI8jrgrm4UXVYd+G9WqxTol2yUW7Q3+GWEVm8+id/9/YewthlnIETYeaQMv/j9ZtSZO5/u\nbGx2QKlUwKQXL5STE/T45yvX4zc/ywl43sA0ExQKcQ0I9V5ny8U1X/5rdgDfBpGtUauUiDdqApoB\nSLGHTqPC3EuHIT3FiE07ilBZZ2kzIyRp7Uv3xitHtPpcqXNck9WNqjrxorFfkkG+DYhNH3qKzeFC\nfkk9/vn1aRw8UwWtRgWDXoOR3rVQZ84xEOoOvTUQAsRM0IBUU4v7r7lsGFRKBTZ+XxDQar49/l0U\n80u7Hgj5X8Acyavu8vEouviX8zqcHr+JTgZC3S09xQi1Sik3V2nLn1btw6sf7g3YIy8S7A63HIxY\n7e6A7HJnBQd/aUkGqJQKeYmFf8fXj788hYOnq/BVGP/9DIQIr3ywFzUNNhRWdL7dsNnqQJxBEzD7\nadCpW7RX1GlU6Jdk6HD2gyJLmhFM82ZaCrwXX4ZW9g3yl2DSodnbEEHKCqpVSqhUSmjUStzzk7Fw\nuT345MtTbWaEJMH3P37XFCTH61t9bkpCYEYoOV7XYtF8XknPdSv85MtT+J83tuGj/56AXqvC/941\nBSqlAnEGDQb1M+FMcZ3cgpQunH/2r69IjtfjusuHo6y6Gc/+7YeQ1rD5B0KFpV3vOui/MPtEUU2X\nLmYo+vhv/Otw+ZfGsVlCd1MpFRiYZkJZlbnNqgWxtXQ5AOBEYW1PDq+F4M6vzbYLXycUXBmUnix+\njicEZYSkLQkAYOeR8rB9XjEQinH+KcoLaQ3fZHEiPsTZosH941HbaENNQ+stkiky/FPOMyaJ62lS\nE8WM0MEzVQCAkYPaX5sgzeQA4pqYW2eNwqypmfJ9M6cMxsBUE77dXyJfAMa10YlIyi4CkBeit6Vf\nsjjO2iYXquqs8gfqM/ddIh+nJ8vRpED/munD8Ldn5uDySb71SaMHJ6PZ5kI5NxbuMuk95N+lsi/4\n5Y0T8ZNLh6KgtAG/+/sPHQbFFTViwKfXqlBQ1tDlMk//GX+r3Y0Dp6u6dDyKLg7/QMjplietuEYo\nPAb3j0OzzSUHO8H820yfq4js9gvBgdBbaw4GvF9CJTWAGZjmy5pLmX3pOkIKgPyz4AdOV+HnSzaH\nZU0VA6EY55+Wdbg69yX7n+0FqG+yt3lBG2xKVjoAYM+x8536PRRe0izx+OEpePyuKQAQsKDfZNAE\n7N/TGv/GGElxOvzihgl47I7J8n0qpQJjhiTD6fKgqFz8QA+lNM6/s1xrpMXe+eftcHsEOTC6PCcD\n7zx7NYCeLUeTLhx+c0tOi3/faLk8jvtpdVXw2sS+QqlU4OF5k3DxuP4oKG1ATVPbs6pNFgd2Hz+P\nfskGTMlKR7PVicq6rk0iSe/Pq6cNgVKpwF/XHe5T+5hQeAUGQiyNC7fbZ4+BQafCn1bl4kh+y1JV\n/6zx2fNNsHWxW1tXSIHQ7EsGI3tkGnYeKcdz/9jZYiP2jpR6t1wZ67eNQLocCHm7xnn/3XlBk5iN\nzQ58+tWpC/sHtIOBUIyr9Iuu7c7Q0442uwt/+9cRAECoiaRLJwwEgDZnPygypHK4wf3j5bKy1ERf\nKdrYIckd7iTtHwglthG8ZPQTZ4BOewOBtkrj/AOIjmb8+6eaoNOqcK5SnEHyXzMSZ9RiYJoJZ0rq\ne6xhgtnihEmvDtgHSTJ6sPjBH5yhqmmw4mw5N1vtDLPVAYUCMPbBPckUCoW891Z7gdDmXWdhd7hx\nw+UjMMLbLa64omubDUoZoZxRabh99hhU1lrwxur9LNckAJD3jQPEMjnpu4EZofAYmZmEhfdNAyDg\npfd2B2SAAN93s16rgscj4Ks95yIwSpG0SXpqogFLfn0pLh7XH8cKanAkv3NbAkhlceOGp+Dicf0x\nqJ8JU72T5NJ1hFQad9QbHPpXHX2zrxjl1aFVVQiCEFI5HQOhGFfhN8MYnBHyeAQ89/cfsOYbsduX\n3enGziPl8HgEHPXbD+NUiDPc6SlGjBuWgkN5VXKNP0Vea80LpNI4AJg4MrXFa4Il+m102lbwkuHN\nKkmBQGgZodbXBklUSgWG9I+HdB3XLzlwzcjowUlotjp7rBzNbHG0maUYPkjc32j/qcqAwOyPK3Px\n2798H/GuQH3B/pOVWL35JJos4trEjgL03krKsH7yXQ32Hm+ZIXe5Pfh8ewEMOhXmXjpULiM538X3\nsf/6vDvnjsVFo/thz/HzWLv1TJeOS9HBf42Q0+XG4bxqqJSKDisC6MJNHpuOeT8eA4vN1eJaSsqM\n3E+ZMlMAACAASURBVDV3rNh+/9u8iH1PSBkhvVYFjVqFaRMGBIxRUlFrQX5J21UYUiA0uH88nv/l\npfjbM3PkSUKTXg2tWonaRitcbg+OF9VicP94+doBEK9LPwkxK/TnTw/i169+A5uj/UwaA6EYV1Hr\n+2K1OwMDobomGw6crsKG7wsgCAJefHcXXvlgD/YcP48D3t7vgFgGFKo504ZAEIBv9obeQpbCq7Xm\nBRq176PhojH9OjxGQlwIgZD3Yk4qvwglEEruoDQO8DVnAID05MA9ekb3YLe2uiYbqhtsbZaR6LVq\nDBuQgJJKM5b/+ygAMQg9UVgDq92FW57eyE5eHXh++U58/OUpFFeY+1xZnL/MdN8X+59W5bZ4fPuh\nMtQ02DBn2lDEGTRyIBTqTGhbfJMe4kbHT947FWmJeqzYdAI/e2oDth8q7dLxqW/zL42rqLWioLQB\nk8em9+m/tb5g6MB4AIEVOgDQ5A0yMvvH4yeXDkV1vRXb9pf0+PgAyMGEtHG1lKUJ7oD5y5e/wv+8\nsa3NgE1aR5vZSnCtUCiQmmRAdYMNecX1sDvcyB6ZKl8rxBu1GDogHt/mFqOs2owj+dX469pDrZbn\neTwCvt57DpW1FmzNbf+cMRCKcf5/eI6gN25lrZgtqm+y42h+DQ6dES/Syqqasf9UJfRaFda9dgOu\nuyz0DQ1nTMqAXqvC13vPsRyjl5A+yIK/7Ab3Fz+oRgxK6vAY2SPTkJqox3WXDZPX6QQLnlVsa/2P\nfyA0ooMmDUBwIBScERJnmvLamaHqDg6nGz9/YTMAIL6dDku//lk2AOBkkdgB6Eh+Nfz/DBb9dUfE\n9j3q7dxBnxd9uVzHv722xeaCxa+tdYPZjk07CqFQAD+dIbaNH+h9flkXAyHfpId4MZMYp8MdV48F\nALjcApZ9drhLx6e+LbhZAgBccVFkNqSOJdL3VkVQpYxUGpdg1OLmmSOhUirw2ZYzLT4Le4JNzgiJ\nnx3S52+TXydK/3EF7xUkKalsgkmvbvP7PzVRjwazXZ5szx6VJl8TqFUK3DxzJDyCuNb8sy1nsOmH\nIuw60jKrXlzpKyPuqPU4A6EYVlDagIKyRvnCNTgjJG2mCQDrvs2Tb588W4uSSjMmjkyDRh3Yqrgj\nRr0GMyYNQmWtBTf9doNcdkeRI10cBXf/+9NjV2LV769tdb1LsOEZifjguZ/gwVsnBbRS92cyaOQ1\nPOkpRhjbaMlt8rt/eEYIgVCGLxAKDsJGDEqEUhH+znH+C85N7SwsnjAiFekpRtR6a8EPnWnZtauz\nZXxuj4Bv9p7rMP3f1wWXhcX34VlqjVqJJ+6egowU8b0ilRofya/Gvc9/gRNFtRiVmSRnguKMWsQb\nNThRWIPnl+/EW2sOtphIOl/TjJt/uyFgI2J/TpcbJwrF3+O/pu+yHN+Frn8mmGJP8DphtUqJH3nX\n9lL4SN+LVUHNUKSyswSTFunJRsyckonSKjNOn63DyaJa/H3dYXx/sDTkfcm6wmoXA2ODtxurNHHq\n/7v9P6P/uvZwwAQPIJb8llc3IzM9vs3rhLREAwQB2HZAzE5PHJEGrfc6U6FQYPJYcT3RgdNVOOWd\nUPx6X8u1U8f92o0HN10Ixk+9GOV2e/CXfx6AxyPIm586gj4E/TsU7T/p24V85xGx2cHksR2XTLVm\nzrQh8u0Vm05EzXqhL3efxX6/ksG+QprRCZ5hN+o1SDB178WmNAuUFNf2cdsq0WuL1Dku3qhpEVwZ\ndGoMSo9HQemFN0xoMNs7DDL82xLrNO1PDqQm6FHXJHa5k7Ks/qSWyaHa+H0B/u8nB/CXTw926nV9\nTWFZ4Iainj6eObtq6mD8eJIY6J8orIXHI+C9jcfkx8cNSwl4ftawFDTbXNh/shKbd51FZZ0Fe46f\nx+Zd4mzn13vOwe0R8MbH+1v9fe9tPIaz55sw90dDAwKhBJMWi35xCVRKBWobbT1yUUW9U3A75KlZ\n6W02taHuk2DSQqdVtWgNLQVC8d7vYanUu7reinXf5uHzHYVY+tE+3PP8F23+3XcXuTROK5XGeQMh\nv+++ojJf059jBTX497b8gGNU1FrgcgsYlN72mjOpUVNplRmD+8cjKV4nf9YrlQqkJhowqF8c9p+s\nlPcyOniqssW2LNKkz7WXDevw38ZAKIq53R6cPd96N6qN2wuQV9KAWVMzccn4/lApFSiosAfMSFR5\nAxSDTo3WMrFTvJF5Z40fnoKRmb6Z/lNn+347YUEQ8PZnh7DyvyciPZRO68lN86QuX1J6vTUpCXrc\nc00WXn7wspCOmRinw8BkDcYNa72pQ/8UI6x2d4t9EIJZ7a6ADdwA8cP/3ue/wNN/2d7ua/1nvjra\nKDMlUQ+PR0BhaQOKK5pw0eh+GDYwQQ46O9siWeokduB03wvCO6PQ+yUrZSjrmzq/AXRvk5mmhVIB\nbD9Uijc/PRAwczlkQELAc5/9xTR88Nxc3DxzJACgpsGGDz4/jrc/O4iyarO80F2tajnTuutoOT7f\nXojB/ePxq5sntnh8enaGfNzCMnYwjFVSICQ1IbniokGRHE7MUCgUSE82tlgj1NjsgFLhq5JI9m4g\nXtdkQ12jDSqlAvdck4VEkxZb9hUHNLvobnKzBJ040SdVkDT5TZzsPRFYolbn9xldVN6I37z6DYDA\nNZLB/Bs1ZXsbNcmBkPejbYZfueb44SnwCMC3QeuAThTVwmTQ4LYfj+nw38ZAKIqt+zYPj/xxK3Yc\nLgu43+nyYPXmk4g3avHAjROhUCggABAE4LHXt8otC6u8u5pfOdn3YajTin8E/ZINF9xJRqFQYOkj\nV+Cx2y8CgKjYx+L/sXfe4W2VZxu/j7ZkSbYk7x3vxCvOIntCgATCSCCsUEZboC0fO5TRQimjUEYL\nNBRoA6VsSAk7EBJCNokdJ3ESx3tvW7b2lr4/js6R5CHLjpfs93dduWIdHZ3zSpbPee/3eZ77sdqd\ncDpd0ATQLX6iMZa9In59RS7SEsJwm7tWZiCuuSATeWmBRxxvXR2Jh2+a2+9zniZt/n83m1/Zhxse\n2+Fjt8lEeqp7RSN6491lezDBxax4/XiMTmEqyIzEK/evwIM3zgHgWYAIFCZq1rvGb7LBRITmTI8C\nMPjnHAyI+BxkJSvR2mXE7sIGCHgc3HvdLCzMi+lTm8HlcqAKFSPanUbT2WOCWmuGywV8e7CWFYYC\nr4ik3mTDH14/iKfeOgIel4MHN80ZcBGCmZycax0SIXhhJtKpcaFQykWsMxhh9IlSSqA32dh7jsli\nR1VjD+IiZawwZcyD1FozunUWhMmEuOaCTPaa2FtIjSSMfTZjliAW8sDhUOz8oblTjx+LGpEQJcN1\nF2YBAHrcC4ulNWq84GUK408IMbXJAF0fBIBNA2Y+h9XnJQGgjZkevmke+DwOdhXWs1kf3VozWruM\nmJ6sRIRCzEbSBiL4mjAQAma7Oyz52Y+VWOSVB67RW2CyOLB0ZjSbIsF80egb5yHce+0stHYZESLi\nYUl+HJt+cePF07HzSD3WLEweMMczEAR8Lru6MRlSMZiVNJ0h+Fap+7PPHi3iI2V46e5lI35cHpcC\nl9v/ug7jYte7m7U3DqeLbfR6tLQNDqcLi/JiA15hM3kJocFEnkpOr3jtdjsnMq58EWH0BHeoqaLM\njcg2iquBE4GaZi0UMiF+uyEfWoMVt1yaPd5DGhEe++V81lJWIRMhQiHGitkJA+6vcjc7bu0ysH+7\nO4/UI9wtsDle1+U9RQ04Xk7XoaXGhSIpRo6BiAmXssclTE2Y+9idV89EbIR00DRfwsjB1Ld+d7gW\nB493gnvoEKx2JxbmeWq0FDImImRBt86CRLdoYGqM2tRGJETJRmV8vc0SKIqCTMJnI0If7SyH0+nC\ntaszsTg/Fp/urkCb2oivD9Tgn//zNWGJjxx4jPnpEVizMBkHS1rYxdDUuDDsLW5CbiotjCIVErx0\n9zIo5EKESoWYnxODfcebUNWoQVpCGM64a4eY9OKrVqUD1oH7VxIhNEkxW+0wuidnZfXd+Nfnp3Dz\npdngcig2/ae/xpdrF03Dj0UNePGDItgdLqQlhGFGihJCARchIj7WLU3FuqWpIzJGKWu/GPwRIYt7\ntcRkccBqc/isyk509CYb3ZxyAPOCYIepS+rRDyxSm7wcZp566wgA4K0/rIbZEpi4MLhT4+65tmBQ\ngwcmIqQ32SCTCFjXu/AwMSjKE4kNlC4tvb/TRRfED9XAJBjQGa3o7DFhVmYkFHIRnrtzyXgPacSQ\niPjI8OqyPhjM94dxQuRQ9GIGI4r0Jht7DTJ6CfTEaP8TpGgVPZk6V4tuQvDC1AkLBVwigsaYKLdz\n3NtfnwEd2DBDwOdi+ax4dh8mItTcoYfV5mD77DFCyN8imtPpgs5o9akPHAq9U+MAOp1eb7KhqUOP\nPUUNSIqWYVFeLCiKQkSYGPWtWrz+ma8IuufaAr9ijaIo3LE+H7ddkcdGgC5flopIpRjzZngilGle\nUZ6ZGRHYd7wJNc20ECp1GyVMn0YLoQW5sSgqGlgIkdS4SUp9qw52hxPzZkQjIUqKz/dW4em3jtB1\nEO70rdB+CuEvX5aKuzYWwO6gI0SxqhDweVzcf/1s3OlOZRspmAjEZEiN844c6IIswqUzWhEiCt7m\nlIPBRIT+9XnJgN+1ysa+qW9qrdnHJMGf2QJTIxSImPRelc9KVrCfO5/HQYRCgpomDbv65s2hkma8\n8vFxlNWpfbarNZ5u5OVj0C9prGls1+H5d+m0immxA0c0pgrh7hx6pp5ocT91HIwrobeoiVJJ+uzn\njVIugoDPZV/z3eE6HCpp9vsawuSCiQgRETT2RLrFjMsFzEyR4MMn1+DDJy/2iZ6IhDyIhTxUu+v4\nGGHEvNaf0c62Hytww2M7UF4/vJpsNjXOK7VWHiKAzmDFtt0VcLqAay/MYu9nkQox7A4XJEIebl3n\nid6vnJOIQPCej3A4FBbnxw24wMy0F2AcV0tru8DlUIOmxLHHD2gvQtDB3AizU1R47s6lmJlBdxB/\n/t0iNiIk91oZuPmSGciKFyFKKcH8HE8oNtqdSjQ/J4bNQx0pmOJ8plg/mGEiQsDgxfITDb3RNib1\nQeMFswLW3m3Ch9/335GaWV1PiJKybjg6o9UnIuS9ut4bg4l+TiIaPMie4JUfzfQ5Ylg1JwEGsx0/\nHPW1A9WbbPj7h8X4/uc6/POzEna7y+VCl9YjhLb9WDHo+YONza/sY90YkwOwU5/shEqF4HIodLoF\ncHpCGJYVxEPA52LFbHr1uL3biI5uk8/3KDbcf00nRVGIj5Civk2LAyeb8eonx/H020ehNVhHtfaA\nMHFgFvSCKaNhssBEdQBgQZYMIWJ+v9F9pVzIClYm24ERAqdrugbsz/jON7SR077jw2uarDX0rUFM\niQuFw+nCziP1EAt5PnPH6clKiIVc/OHW+bhoQTKEAi4uXpA8rHMPBrPI09ZlhNlqp1Pk4sP8mjJ5\nQ4TQJKXbPTlSyoWQivl47JfzERchxcnKDlYIeVsYX7kiHdcsDQdFUeBwKPDc9RaCUewrMRlT4wBA\n209RvtPpwo6iHpRU9bVLHm/0JltQN6ccDO/Gbd5GCN5UNvSAQwEv3r0Mmy6mCz11BitMXhEhf5E+\noyXwiJB3LVPvdKU1C6eBz+Pgi73VPs3pPv+pijVkqGrsYevqOrpNsFgdWJgXg+nJShw904bqJv/G\nDsGE3mj1adhHIkL06qh3Kp1CJsL/bZyJNx8+n3XyrGrU4I9vHARAuzvdc20BFucP3hhz05rpACj8\n5T9H2W1Pbv0Zv3x6J1795HgfV0XC5MJKhNC4ERMeAh6Xg4KMCESFDXwfyUzy2Ooz9zaFXIT5OdEo\nq+vGz6f7Nhf1JtCFWqPZhsLSNjz25iE88toBlNf3YMY0pU+kJsvL4n96stKn5+A1qzPx7p8uRnaK\nCiIBDx89uQZ3rM8L6NxDRRUqBo/Lwd7jTfjtX3+Ew+li0+ICgQihSYpaS9+wGEMCHpeDpBgZzFYH\nWxQuDxk4V/Qvv12E6clKXOB25xgNeFwOxELu5BBCNs+Eub8LTUVDNw6X6fHwlgNjOaxBsdnpmqax\nsM4eL7yFEON66I3D6UJ1swaJ0XKIBDy2Z4PWaIXF6v/3ymB0R4RCAqyzuu2KXMSGh2Bmuq8zXphM\niBWzE9DSZcCR03ROs95oxRf7qhAqFWD9ijS4XMDJSlpQM/9np6hw9fm0TejHI9CkuL3bOODK4lhS\ndNbXEjx+mE6Vkw1vNy9VKJ3SppSL2LTL9787i8Z2PcRCHh64YQ5WzkkMyNxmzvQoPHrLPJ8FsNJa\nNVwuOlXulj9/j492lgVd1JsQGIzz5GgugBL6RyYR4MW7l2Lzpjl+97tp7QxEKsRIjpFj7nTPdeAi\nd7Slvp+WKTa7Z6G2dz+2/jBb7dj4yDf4078O49jZdpys7IRQwMWvLvM1AprhJYRmpPgKD4qifAQ1\nl8s5J4Mtf3A5FOzuRU4met27D5s/yLc9yNAbrXhoy34cOeOr+jV6Cz7fW8V+Gbp1TERIxO7DpEYw\nhWRh/ZglMGQmKfHcnUt8Xj8ahIgFkzA1ru+qKVNzNdFgRGjIJE6NU8hEWDWXduEy9JPe1tiug8Xq\nYHtbsalxBhvbTRvwHxEysDVCgYXiL1mcgtcfOr/fZoVMP5fP9tCuj9v3VsFotuPK5ensBPhERYfP\n/7mp4ZidFYnU+FAcPNnM9hYaDkfPtOLWJ3fif3sqh32MkYKJoF4wLxG/uixnQGfAqcbSgjjEqEJw\nwbxEzJjm6Z8VFyEFh0PBbHUgRhWCdx67kO3EHiizs6Lw1G8W+Wy7+ZJs3HBRFqx2J97dcRbbfxr/\n7wZh5LHYHBDwRm/CSvDPtNhQSCX+FyUVchH+/ehqvHL/Ch8X1HC3m2R/ZjsNbXr257pWHVs6MRDe\ntYVxESH437OX4KMn1/gYFAB0bdLtV+bhyuVpuGh+st9jjjbrlqYgLkKKBbkxUMpFrPV2IBDXuCDj\n20O1OFXVhTPVXfj8+cvY7f/49AQOlbTQSv78THQzESEvsRPr/qNh+kT0Z5Yw1kjF/CHbBU9EGLcd\noP/IwWg2OjsXGPMA2SAX32Bn08XTsetoA+us5U2Vuz4oPZ6+yDONTXVGK0ReESRdP5HLrV+eRnFZ\nO9rU9N/USDjvJUTJMGOaEmdq1LDYHPjhSD1kEj7WLEwGj0dHUU9UdKK8vht7ixsRowpBUrQcFEXh\nqlUZ+Mt/juLT3RW459pZwzo/k0P+9f5q/G5t4DeT0eBUVSfEQh5+uyGfiCAvIhUSvPHw+X22C/hc\nxEVI0diuw13XFEAkHN4tPitJiZsvycZbX50GAMzPjUaMKgQagxVf7qsmznKTlGBzPCV4iHALoc5+\nhBCTBZQQJUVDmx67CxuwYWX6gMfy/vvm87h+nUjXLpo23CGPKL+6LBe/XOei+2K6XEMS8+TOEmTU\nut1CnC7ghLs/BADWSarwTBsAQK0zg8/j+Kw4x3qllYSIeP2uRo81MokARrOdzU0OVgZLjetvAj4R\nYKIck7lGCPCkrDGRG28q3O5bqe7VLk9EyMo65QDAzp/rfJzj9CYbPv+pEo3tOnA4HMyZHsU2Nz1X\nWDtUtRFdGjOmxYZCJOSBx+UgOyUcTR16PPjqfjhddM8PJm97QU4M4iOl+OlYo4/j3VBwuKOXnHEW\nHnaHE00dBqTGhxIRNAT+b+NMPHLTPGSnqAbf2Q/MxCouIgSx4VJQFIVbL80Gh8KgK8qE4IQIoeBF\nIuJDIuL1K4Tq3ELoxjUzwOdx8MOROr8uqN69xJiU62CAET9DjWiSu0sQ4XK5cNKr2P7R1w+iuUMP\ni83BTr7LG3pgsTnQrjZCKRf5fCG8rQSXFsRPiPB3srv4mZmMBiuDucZNVCGkH8NmquOJUMAFl0PB\n2M/vobKhBxwOxfb/8a4RYsREmFSIk5WdKKvzWI+equqE0wVctSoDHz65Bo/9cv6IjZdpnMe4pUUq\nPI5Cy9x9JewOJ9YumuaTAsDhUJiZHgGH04X61uGlxzEmDbxxtlM3TJFo5UiTlaTEeV7uTcMlwW3k\nsSDXY7LA5XKgkItYxzrC5MJscUA8zCgiYfwJDxP3HxFy1w1lp6iwKC8WTR0GnKlR99kPoHsUvfXV\nGQDA079ZhCX92PNPNogQCiLa1Eb06HzrT97/rgxVjT1sDYrT6cIPP9dBa7D2yQ0X8Ll44tcLkBYf\niitXpI3ZuP3BrFqeqp54bmpDwTv1bTAhZLP371w2HjA1QpPZPhugV4gkIr5PjVBDmw6bHt+Bs3Xd\nSE8IY3tnCPlcCPhc9OgsbBO5y9x1O+/tOIsHX92Hp98+gsJSOvqaN4Rc5EBhTE7+9fkpAHRPBoYl\n+bGIiwhBjCoEv1g7o89rGYvpmua+RbOBwLxnLnechZB5aoj0iUpyjBwv3b0M112Y6bNdFSqCWmOe\nEGYahJHFZLVDLCQRoWAlIkwMg9nO9rVjqGvRQikXQSYRsO6R/c25XC4Xnv1vIfs40D48wQ6R/kGE\n92o0w0/FjeyEIVIpQbvaiI930b1ELpjXt3FVQWbkkItnR5MctxA6eroNV6/KmBBRquEwaETI68Kk\nM1pH3YQiUBijisnsGscQIub53CCOlbWzCwv39qqnSU8Iw+nqLnb/+TnReP+7szhe0eGzX5RS4mMh\nOlIoehmZRHr1mOByOXjx7mUA0O/qbUocHWV99ZPjyEgMYyNdgdKloVcUvb/T4wGzeDARUninKr2L\nowHaqra8vgdag9Wv4Q4huHA4XbBYHcOuKyOMP0nRchSdbceZGjXb91FvtKJLY2at9RlnSe+MAZfL\nhR6dBaequtj2C1csTwu4D0+wE1BESKPR4Nlnn8X9998PANi9ezfU6v7DaoTRo8zdEfiO9XlYkBuD\np+9YBB6XYlemF7jTIdRaM5Jj5EGh5kOlQsybEY2y+m6fHjvfHa5FSWXwRIl8I0J9XeP0Jl8hNFEw\nTJGIEEDnUHsLoaZ22knn5fuW+9TPAcDtV+aBx6XQ3k2LgjCpEA/cMAe/ujwHK+cksPtdsTyN7bk1\nkijkvhNMVaivcKbzwfv/nSVGe3rt9HaXDIQud9pTj87iN498tGjtMqCl00CE0ASF+S72l4JDCF6Y\nVgEkNS54YVxFvXsJMUYJjACKVEggFHB9hFBJVSdu/NN3eO7dQvC4HLzx0Pm45dLsMRz5+BLQHfzR\nRx9FTEwMGhsbAQBWqxUPPvjgqA6M0Jfyum7wuBRWzU3EwzfNQ25aOK5ZTactCHgcVvEDdDQoWKIr\n16ymi/E++L4MAO15/49PT2DLthPjOawhwaye83kcaA3WPhNI79Q43QTqwaGbIjVCAG2YYLI42Kaq\nTR20EGK6cnuTHCPH1ed7UoKEAh4W5MZg3ZJUn2aWM4bQtG0oMDVCnvEEHtUR8rl45OZ5APw3K35v\nx1k89sYhnxQnk8XOinar3QmrfeyF0JNbf8bmV/dB425MHGhvJsLYkBpHL7AdOtUyziMhjCRMSqx4\nikQBJiNZyUrIJAIcOd3CXtcZo4RktxDicCgkRMnQ2K5n74UllV3sMS5ZPM3HlnsqEJAQUqvVuPHG\nG8Hn0zekiy66CGYzKZYcS2x2B6qaNJgWG8rWMgDAhhXpmJ0ViWWz4hEdTqfP8LgUW1AdDKQnKDBn\nehROVXWhpKoTBpMdLhfQ2K5n03RcLhd2/lyHs3UTMxLJRIQiwsSw2p2wWB1o7tTjqHtF3jBBI0J6\nxjVuChSkh4jpG7zRfcNv6tAjPEw8YCrIhpXpSI0PRXioyMcNLtbrJhEfKRuVsXqnTn701JohpyAx\nN72BGl92a834dHcFjpW1o7HdszLo/TMA6M1jV8/21pen8c3BGjS06dCjs2D/CdrGm0SEJhaLZ8ZC\nJuFj+09V+GRXuU+zRkLwwgghkhoXvHA5FObOiIJaa8GZmi509phQ00sIAXSrCLvDiYMnW/C/Hyvw\n4c4y9rmNQeQSN1IE/I232WxshKGzsxNGY/D3fgkmqpo0sDucyPRajQboeoHHf7UAAF2EH6EQY3ZW\nFEKlwZW7vfGCDBSWtuGTH8px+/o8dvuJik6snJOAbw/V4rVtJxGtkuDNhy8Yv4EOACuEFGI0dxqg\nMVjx/LtFqGjowS/WzkBrl+fvxWAanq3xSPP1gRr8WERHeadCREgVShsOHCppQWx4CLo0ZuSnD2x0\nwOdx8JffLu5jbuG9WjZSdtm9CRHzce91sxAfKR1WbyLWAnwA0f3toVq2+fInuyvA53Jwx/p8NLrT\nBaViPvQmG7RGO11A+04hUuJCR81K1Wy192ngesSd3jEVvpvBhEjAw10bC/DKJ8fxzjel2FvchBfu\nWkpsl4Mcs7t5NEmNC27m50Rjd2EDHtpygN0mFfORGO1ZtLtieRp2HqnD29+cQbvaMzf596MXTIlF\n0d4E9I2/4YYbsGHDBnR0dOD2229HSUkJHnnkkdEeG8HN6eoubP2Sdo/KTFIMuB+fx8G/JqBICISs\nJCViw0NQ1aSB0UsonKjowMo5CdhbTK8OewuKiQSTGsd0d9YaLGyjzv98fcZnX2blbbz55/9Osj9P\nhZvf2kXT8O3BGrzy8XF228UL/DeDEwl4EPW6L0QqJFg1NwG5qaPbbHTF7ITBdxoAiYgHLofqNw3T\nZnfg24O14HIoOJwu7HGL4cUz41ghVJAZiX3Hm6AxONDYrseBk804cLIZc2dEDdl8IRC0+r7jZDL2\nSERo4nFeTgyyU8PxwntFKCxtQ1WjBtNHKU2UMDZ4IkJE0AYzBRl9zbCyU1Q+tawx4SG4ZHEKtv9U\n5bNf75TsqUJAs5+LL74YBQUFKC4uhkAgwBNPPIHIyInjPDaZsdoc+P0/9rOPM5P832w449z741wI\nlQrRqjb6OKydqOiAy+XySfExmm3DWiUfTZgxR7vrTWhHJRHUWjNuv5KOcJVX1WL3Ce2EEULeQJWY\nCgAAIABJREFUBPP3JlASomT4v40FKK2l0yuzkhRYlB87yKv6wuFQuPuaWYPvOI5QFAWZRNBvRGhv\ncRN69BZctjQVJyo62GLa/ceb2H5eBRkRtBAyOtjPCwD+8PpBvHL/ihG/YfbofQ1GkmPk7LhIRGhi\nIhXzsbQgDoWlbfj7R8fw59sWIcLL5p0QXJjcZgmSKbAoNpkRCXkQ8Diw2p3ITw9Hl8bcbyR/4/kZ\n2HW0HjqvOtLRynCY6AT0risrK/Hee+/h4osvxqpVq/DSSy+hvLx80NeZzWbcfffd2LRpEzZu3Ig9\ne/agtbUVmzZtwg033IB77rkHNhv9S/jiiy+wYcMGbNy4EZ9++um5vatJBBMJYYhWSQbYM/gJEfPh\ndLpY1yqAdrBq6tD7rGy3qSdeVMhgskEi4iHMnZKo0VvQo7dgerISaxdNw9pF05AcST/X2+N/vAgR\nTb0b3qq5ifjdVTPxu6tm4vx5SeM9nFFFFsKH1tD3u/b1gRpwOBTWLU3BC3ctxR9uPQ8AsPNIPWpb\ntFiQG8NGnjUGB+tKuWRmHDR6K7btruxzzHNF4yWEOBRw0yWe/kgkIjRxSYunjROaOgw+EWZC8GEm\nNUKThj/eOh+ZSQrce91svPbgKh+DHwapRIBbLs0Zh9FNPAL6xv/pT3/CXXfdxT5ev349nnjiCbz7\n7rt+X7d7927k5ubi1ltvRXNzM26++WbMmjULN9xwAy688EK89NJL2LZtGy677DJs2bIF27ZtA4/H\nw4YNG7B69WrI5XK/xw8mtpd+h4quGtw5/2aIeAPX7+hNNlhtDrZYmrHMBoCZ6RFB4wQ3HGRuC+f2\nblroZCYqUFbfjePlHdB6rWy3dBpGJT3nXNCbbJCK+ZCH0HlUje16OJ0unyJ3IZ9ed5goESFVmBiG\nVh2U8uCqJyMEhkwiQJP7e0hRwN8+LEZilAyVjT2YMU2FSAW9qDJvRjTy0sLR0KbDLetysKwgDmZ3\nqufxGgOcTgPiI6W465oCnK1T4+sDNVi7aGSdhRiHuDuvnok506OglIuQEheK2hYtiQhNYLxt58vr\n+/a5I0x8Gtp0aO7Qe1LjiGtc0JOfEYH8jIhB9zt/XiLy0yNwy5Pfj8GoJi4BfeMdDgfmzJnDPvb+\n2R9r1qxhf25ubkZMTAyOHj2KJ554AgCwYsUKbN26FcnJycjLy0NICH1jnTVrFo4dO4bly5cH+j4m\nPO+f3A4AeOvYx7hj3qYB9/vlUzthMNnwxfPrQFEUGtp04FDAaw+umvTN65giPaZ4b0FuDMrqu3Hw\nZIuPxe9ErBPSG22IVklYIcR49PsKIVrEThQhZLM7QVHAqw+sHO+hEEYBmUQAp4tO23Q6Xdhd2MA+\n19t05YnbFoJDgV1oEQt5kEn40BltyEpS4JGbz4OQz8XNa7Px3LuF+Nfnp9hI0kjARITCZEJ2Eej+\n62ejtctAVqgnMFwOhb/euQR/3vozevQWaPSWoDPqmeps/fI0CkvbkO1ubj4V6kUJHiIUYvz+xrk+\nZgpTjYBS42QyGd5//31UVVWhoqICW7duZUVLIFxzzTXYvHkzHnroIZhMJtaGW6VSob29HV1dXVAq\nPbUvSqUSHR0dAx0uKAkV0dGtvbWHoTb29LuPy+VibZaZyXJjuw5RyhDERgzPPSqYkLlXfpnUt2lx\noQgPE7ONVpkGsa1dhvEZ4AA4HE6YLHZIxQJ2EsAIIe9aCoE7//bHokb899vSsR9oLyxWO2JUIazD\nGGFywYhyjd6Cjl7NL3unSnA5VJ9o82VLUzEvQ4qn7ljECvrFM2ORk6rCkTOtbMrcSMDUCIV5TaIT\nomSYOyN6xM5BGB2ykpW4ZBFtOnK2dmK2NyAMjNqdin66mu4lIyZmCVOORfmxSIiaukIoIOn/zDPP\n4IUXXsAHH3wAACgoKMAzzzwT8Ek+/PBDnD17Fvfff79Po8mBupYH2s28qKgo4DGMNwYLPXl3uJx4\ne9+HWBY+t88+OpOnH8OBn49ByKOg0VsRJeeM2Xsdz89U3UWLh4ZWOsWivrYSMqETne7nw0S0SCyr\naUFR0cSIqgCA0W07arPoUVNJC5wWt1jTdreiqIh24mIiQgDwya5yRIu1UMrGb/XNYLKCz3EG1d+R\nPybL+xgpnBbabGDPwRPonVFr0zWiqMh/Q8w0JZCmDEPJyeM+2xdncHG6Gnj140L8bm3UiKTrVrv7\ng9XXlEPXMbVWpCfD95ZnpyfTuw+fAc/SPM6j8TAZPtvRwu5w4eN9XahuNoNDeVwaa2sq4dA1+H8x\nyGc72pDPd+wI6I6jVCrx1FNPDfngp06dgkqlQkxMDLKysuB0OhESEgKr1QqBQIC2tjZERUUhMjLS\nJwLU1taGgoKCQY8/e/bsIY9pPLDarbBXOjA9Ih2N2haUGCvwm/y+tULHy9sB0JOTpGkZKC6jH8/J\nScLs2VmjPs6ioqJx/Uy1aMCOomPo1tPCYvbMXNT3VKKmrR4AkJOZjIrWShht3An1u2/u1ANoQXxM\nJBbNz8fzn30JRsvnZKVjttuZzPvC5nIBZR1C/G75zHEYMY3joyYoQqUT6rMcLuP93Z2IuCRt2HXi\nMLiSCHd0iF7x/eVlOVi+ODWgYwz0uRbWHkZhaRsypuexkadz4YP9e0FRRixeMHtK1ShMlu/tDIsd\n7+75Bq0aLtIycyZEetxk+WxHi+Pl7Shvps2YUuPDkBIXil1HG7BswSwo5P5dIclnO7qQz3fk8Scs\n/abG3X333QCAZcuWYfny5X3+DUZhYSHeeustAJ4mrAsWLMCOHTsAAN999x2WLFmCvLw8nDp1Cnq9\nHgaDAcXFxZPqS6Cz0tEBpTgUF6YthcFqxE81h/vsx6RTAXT616e7K6CQCbFuaWCTlmCnd1G0RMRD\npNLjkicPESBaKUF7twkOx9h1vB8Mvdt+Uirhg8vl+LwPoWDgNINdRxvQpTEN+PxoYnc4YXe4/I6P\nENwwncTrWrTodKfGPfHrBbhsBK4nqlB6otSjM/tsDzSa701LpwFl9d3ISwufUiJoMiEW8pCREIbq\nZg02Pb4D9/99Lw6cnDiRIUJfvCO5oVIhfrshH+89cdGgIohAmGz4ves8+uijAID3339/WAe/9tpr\n8fDDD+P666+HxWLB448/juzsbGzevBkff/wxYmNjccUVV4DL5eK+++7DLbfcAg6HgzvvvBNSqXTw\nEwQJ++qOAABkAilWpy3D9tLvse3MN5gdl4twiac2qrnTU/vy1f4amK0ObFiVPmz7WLPNjFPtZZgd\nmxcUbnO936dYyEOkV1+KCIUY0eEhOFvXjY4eE9uzZ7xh6roYAUT3b6G3iQYQGmkJYahs6MH2n6pw\n67qxt7BkGsCSiefkRRUqglTMx+FTLWx9obfL17nA1Az16C1IdG978/MSFJW24ZnfLPaZTHVrzXj6\n7SP41eW5/dq4/lhEp+GsnDP8BrKE8efBG+fip2ONKDzbhjPVXdj6xSksyht6ny7C2MDctwB6kZGi\nqElfh0wg9IffWVB4ON05/dlnn8XLL7885IMLhUK88MILfbZv3bq1z7bVq1dj9erVQz7HRKe8s5p1\njJMKQxAmkuO6vMvwzvFt2Hb6W9w293p23xYvIVRaqwaHQ+H8uYl9jhko75d8jh0Ve3DjzPW4JPP8\n4b+JMULpNXm6bGkqJCI+VKEeIZSTomILOls6DRNGCOndNxRGyEm8+vMMFHHZsCIdb2wvwTcHa3HZ\n0lSEh41tI0KLjRZCQj6JCE1WKIrCbzbk45Nd5ahp1kIs5Pn8jZ0LCqZflo62vTZZ7PhibzUA4I3t\nJXjwRk8N5FcHanC2rhuPvHYAnzxzic9xXC4XfixqgFDAxYJcMmkOZsLDxFi/Mh3rV6bj0X8ewImK\nTuiMVr9mLP/5+gzsDidy08Ixd/rI1JsRAkPvJYRIry7CVCYg17jExER8+umnqKqqQkNDA/uPMDAO\nhxMOp4tNiwOA42d6sO94E9akr4RMKMWx5hKfVBJvIQQA82ZE+QiBoVLXQ+f//lh9cNjHGEuiVSF4\n5f4V+OTptfjlZXSUJDU+DBEKMW5dlw0ul8OKn4nkHKdz9zhiIkLedr8DRVyilBLccFEWrDYH/rdn\n5BtUDsauo3TdFUmNm9wsmRmHl+9bgVcfWIHn/2/JiHUOD3VHhLr1dGrcz6c8xgsnKzt9rmuM2DZb\nHfjgu7M+xymtVaO1y4iFuTHEtncSwThQXfeHb9HUoe93H43egk93V2D7T1X4879/xsmKzn73I4wO\neq/efPYJlGpOIIw1Ad15vvnmG1AU5XNzoygKu3btGrWBBTNWmwO/evoHzM+JRv5cj7vZmeoemJsr\nsWRmHAqis7G37mfU9TQiWZEAu8OJtm4j27sDAC6cn3xO41CJabvpBm0LDFYjQgSSQV4x/jB1DQxS\nMR9bH/VECmPcQqhlAvUSqmrUAAASo+mxe4ufgSIuoVIhVsxJwJZtJ8fccrZdbcQ739DudkQITQ2S\noke2OTVjc92jo22vfyqmF12SY+SobdGiTW1kFy3MVs818P3vy3D1+Rngcjk4VNKCp9+m04ZJWtzk\nItHLire4rB1x/aRk9hY+pXXqgJpAEkYG74iQzUaEEGHq4nd5UK/X47nnnkNGRgauvfZafPfdd9i9\nezd2795NRJAfWjoNUGvN+OFIPboNHgMEOLmobdHC7nAiM5wuWGaiNu3dRjidLmQm0TVDEQoxCjIj\nz2kc3tGofxd9eE7HmihEq2gxN5EiQqW1aoiFXCS5G5JJhAOnxr1w11L87qp8RCjE4HE5SIyWoa5F\nO6bmD94TU5IaRxgObI2Qjm6iWVzWjtT4UFbQlFR2oltnRrfOjI5uX0MQJkLw/c91AIBQqQC5aWQC\nPJnw7kmi1prx5b5qPP7mIWgNVlhtDhjNNny+twoA8OjN8wAAFfX999cjjA7MgisALC2IG8eREAjj\ni9+I0OOPP47IyEhs3LgR33//PbZs2YK77rprrMYWlDidLhSdpRsNWu1OnGmgf06QpKC8KwYOONHY\nrkeMjBY5LXr6+a4eOsUkNS4UM6YpkRYfBi7n3PKltRYdeBwepoXFY3/9URTE5GBJ8rxzOuZ4EyYT\nQsDn4lBJC/Ydb8KSmeN7AdebbGho0yE/PRxcLr2uIPIjhDISFT4F49Ni5ahu0qC50zBmDc2YZr0A\nEUKE4RHmbhTco7fg4MlmOJwuLCuIR0FmJDhfncbLHx8f8LW1LVokRstR06yBgMfBaw+uOudrHWFi\nkZ2iwu1X5OKfn5Vgz7FGVgxf/8dvffZbOjMO87KjoQoVoaKhGy6Xi9QJjRFMSveWzSundDNNAsFv\nRKipqQmbN2/GihUr8OSTT6KwsHCsxhW0/OPTE3jrqzPs44omuj9SGn8OAPoCX93Ug1hZFACgWdcO\nAOh229AqZEJctSrjnKNBAKCzGKAQyXHnglsg4gnxr2MfoN3Qdc7HHU8oisL8HLrb/NcHasZ5NHSa\nGQAkRHpuJCKvztyDCY3kmFAAQF2rdhRG1z/eQogxTSAQhkKIiAelXIiztd3YdbQBFEXXIyXHyPHr\ny3MRFyHFwrwYnwnWk7cvBEALoW6dGV0aM/IzIvwW0xOCE4qisGbRNIgEXHR0myAScCEW+l4LV8yO\nx73XzQJFUZierES3zuLjnEoYXQzuiNBEMR0iEMYLv0KIx/OsbHO5ZOV4MJo79Gy6BwAo5UJ06ugJ\nrt6rXrSqUQOFOBRCrgAtbiHE5NozK61DxeVywWD1rZvRWnSQCaWIlkbgllkbYbKZ8Wbhe3A4HXj0\nh7/ivROfDetc480DN8xBWkIYyurUMHtN6seDHj3ze/M0EBR71QgNtrqpcL9Oa7D63W8k8RZC3e7v\nHYEwFCiKwnk5MdAZrSir70ZBRiTrfLh2cQr++ftVeOgX83D1+Rnsa5j6v9oWLQ6coHvMpMeHjf3g\nCWMCRVGIdwvhu6+dhRfuWoY3HjofD/1iLm5aOwN3XTOLjaLnpdOpkScqOgY8HmFk0ZmsEAm4I2ag\nQiAEK37/AnpP4kjI2j+lvYreN6zMAHj0qkt3t6cGpKpJA4qiECOLRKuuHS6Xi52Qek+oh8J3lT/h\n5s/uw5n2CgCAxW6F1WGDXEgXqS5Lno8MVQpOtp5FWWc1yruq8UXZTjRqWvwddsKSnxYOu8OFs3Vj\nazTQG0bAendSFw3B/UoqoZ3m9F752qONtxAKmwAd4AnBibe1/5XL0/rdZ0ayp09aqFQIpVyI6iYN\n3v22FCFiPlbPTxr1cRLGj99tyMcfbz0Pi/JikRAlQ0x4CBbmxWL9ynSfdMiZRAiNOTqjDVISjSUQ\n/NcIFRcXY/ny5ezjrq4uLF++nM3j3bNnzygPL7iobqbdwxblxSJUKsCquQl45yydelRSrkF8ZCgo\nCqhu0sDpdCFGFoXankZ0mzTshFoxTCH0WekOAMAPVfswIzIdWgtt0iBzCyGKojA3Lp8WQGe/B0BH\nkT4o+RwPLL59+G96nIh3p6L1LsQea3r6EbBDsQFmLLe9m9uNNiYzLYQyExW47qKsMTsvYXKRkajA\naw+uRFePeUC3rwiFGOtXpGFaLJ0CmhwTimNldBR8cX7sObUHIEx8UuPDkBrAftEqCSIVYpRUdsLp\ndIFDasZGFZfLhR6dBYlRk6dxPYEwXPzO2Hbs2DFW45gUVDdpQFHAXdcUsJPh2CgBWowUEiJD8eAN\nc/HJrgo0tDWiVW1AjIyePDTr2vpNsRoKYUI5uk0aaCx0Kl63iRZlYSKPbe7s2Fy8d/IzHGs5BQAI\nEUhwtOkE7vrmMdwxd9Pw3vQ44d3ZfjzRML83qbcQCjyNlFmR04+yEOrWmtHRY0JGogJGd0TomtWZ\nxCyBcE7ER8rYRYn+oCgKN12SzT5OjpGzQmismwgTJi4URSE/PQI7j9SjulmDtAFSJr//uQ5VjT34\n9RV5xGDjHDBZ7LDaHMNOxScQJhN+U+Pi4uL8/iN4sNocqGrsQVyE1CciQPHskItCsOWBVUiKkSM1\nnl4ZrW7SIEZKGya06NrRrTNDwOcOu6mgREBPKnrMOvaYABAt9ZguxMmjES7xpKrcNud6dt/tpd8N\n67zjRe8+JuNFfwJ2oCaq/REicqfGmUa3RuiuF/fgvr/vRZfGxKbGkQaWhLEmOdazMEOEEMEbpk7o\npJ/0uK/2V+Obg7X4348VYzWsSQmbyUBSowkE/0KIEDjHytphsjgwb0Y0u83pdEJj0fk0Mk2Jo4VQ\nVaOGtdCu6mxCa6cBCplw2HVYegvtttOu74TT6WRtuZlzAPSqW14UnQqVFBqH+QmzcGnm+QAAm3Ps\nUrNGgokSEWLO710jNJQmpWNVI8TUoHV0e4SQRESEEGFs8W6YTIQQwZv8tHAAwIlejVa9Ya5j7+04\ni8pG0ndouJxrTTKBMJkgQmiEYFyQFuXHsttOtZfBYDViekQ6u40RQpWNPYiV0xGhn8pKYDDbkFGg\ng9o4vIt7j7smyOKwol7TzNpyMzbdDBuy1+LKGRfjsZX3AAA2zVwPmSAEaqNmWOcdL0KldErZeEaE\nXC4XOntMEAp8I3lDSdngcTkQCbijnhrH0NFDIkKE8SM+Usb+fUQQIUTwQiEXITFahlPVXbDZ+9r6\nO5wuaPUWyCQCOJwuvPBeEWz2sWtEPZk411R8AmEyQYTQCGC1OfDz6VZEKiVIT/DkNv9YcxAAsGLa\nAnabTCJASmwoTlR0oLreCL4xCg6RGrOXGlCo24n7djwx5PM7XU7WHIE5b2VXLYRcARTiUJ99w0OU\nuCZ3HaQCT+8AlUSBThPdzC5Y4PO4CBHzxzUitP94M+pbdT7OWMDQ3RWlYv6YCaF2tZEIIcK4wedx\n2N5CJCJE6E12igpWmwM/HKn3cbcEAK3BAqcLyE1T4YJ5iWhs1+N09cDRI8LAkNQ4AsEDEUIjAJ0W\nZ8fivFh2Eqy3GnCk8ThiZVHIUKX47H/Lumy4XMC/vzgNfX0CAKDafhQAYLCZ0OqO5gSK3mKAy+Vi\noz/fVvyITqMaOVGZAU3KlRIFLHYLLM6x62UzEoRJhejsGR/XOI3egn9+dhICPhe3r8/zHZd7lS3Q\n1DOpRACDcfQ+e6fTI3Db1EbWNY4IIcJ4sGbRNCwriCeTMEIfmNTJLdtO4tWPj/s853FWFWHxTLpG\nuejs0O6VBJr+3E4JhKkKmQmNAP2lxR2sL4TNacfyaQv6iJFUtyNOdZMGgApKQQTUVk+BaHV3A6K9\nansGo8dMO8XNiEhHmioZTpcLy5PnIycyM6DXq8T0eHT24OrqHSYToqlDjy2fnsBvNuSP6bnf2F4C\nrcGKW9flIDbc14I0KVqO3984F+mJgTWLDBHzUdtih8PpgsPhhAsYUTc372hT0dk22B1OcDkUaaRH\nGBcuXpCMixckj/cwCBOQpGhPDdne4014YNMcuFwuWGwOtq5FIRMiJ0UFAZ+L4+Wk79BwaFPT93pV\nKHGNIxCIEBomdocTb391Bitmxw+QFncIFEVhafJ5fV4bIuJBLOTCZHEAoLA2YyX+e+oj9nm1qXtI\nY1G7rbJVEgXWZ68Z8ntRSRQAgk8IXb4sFaeru7C3uBG3XTl2dqpWmwP7jjchKVqGS5ek9LuPtyge\njHB3L5XH3ziE0jo1ZGI+/nz7Qr+2xENBa/CkD7a7+y5FqySkQTKBQJhQJEZ7rnnM9fyVj49j/4lm\nbLp4OgB6AUzA5yI+QoqmTj3b15AQOKW1aoSI+X0W8QiEqQhZEh4mh0+14PO9Vbj7pZ9gstiRm6ry\npMVZDKhS1yEnMhNKcd+oAEVRbH58lFKCC7MWQSkOY1/fNUTDBEY4MYJmqMjdTVdNTvOwXj9ezM+J\nwerzkmAw21E1hg5C7d1GuFx0Q8mREF8bL8igVzcrOkAB6NSY8eb2U+c+UDcaPZ12t35FGt76w2r8\n9f+W4C+/XTxixycQCISRQCYRQCmnoxQOpwu7Cxuw010vdMpdD8SkVEapJLBYHePuHBpsqLVmtHYZ\nMT1ZSRrXEgggQmjYmHsVckYpPeYDahM9KY+RDpzexoieuEgpBFw+nl39EJ6/8FEAQJdx8IjQV2U/\n4G+H/g2ny8nu35/oCgTGOMHkCL4bSn46bbl6snLsimbb1EYAQKRSMsiegZEQJcPL9y3Hls0r8ckz\nlyAzSYHj5e3o0oxM/ZPWQAuhMJkQ4WFiZCUpoQolheoEAmHi8fpDq7DOHWl/6YNj7PayOveCX6hn\nERHwXI8JgVFaowYAzJimHGRPAmFqQITQMOnS+EZPopSeiWW3mU5V6+3Y5g0zOQ0NoW2gQ0VyxMmj\nwaU46AogNe6d49twsL4QxS2nWSEUPsyIkIyJCAWhEMp1957w14RvpGl333ijRkgIAUBchJR101oy\nMw5O18iJu24d/V2Vh5DCWAKBMLERCXhYNTeRfcw0IWfuuUxdS7T7+tvaNXQh1NShR3On/lyHGpSc\nqekCAMyYphrnkRAIEwMihIbAG9tLcP/f98LlcqGjl1tZpIK+KButJnxT/iMA/0JoZgbdRTvPPZEH\nAA7FgVIcNmgvoaNNJ9ifXz/6Lko7KwGcS0SIHnuwpcYBtINQUrQMp2vU/faeGA3YiJBi5ISQN8xx\nNSOU8lHfSlurJ0aNTM0RgUAgjCYpcaG4dEkK8tLCcdvlHldOLodim1dHqehMBqbwfyg8/uYh3PbM\nLhw+1TLk1+4rbsKBk81Dft1E4UxNF3hcjk9NM4EwlSFmCUPgy33VAICaZm1fIeRenXq98D0Ut9D1\nHWGigYXQHVfmYXFeLOZlR/tsDw9R4mxnFawOGwRcfp/XnWmvwF/3/5N9rLXo0WPWIoQvhog/PAcY\nmYCOCJmDMCIEAHnpEahrrUZZXTdyUsMHf8E50jYKESFvmGaxTG3PuVLTrAGHAhKiiRAiEAjBwa8v\nzwXguyCkDBWxdS1satwQI0IOp4uNIr380XFkp6ggkwgCeq3L5cJz7xYCAL584bIhnXe0qG/V4v3v\nyvCLtTMQEx7id1+TxY7qZi0yExUQjKAzKYEQzJCI0DD477elqG7SIETsESoqd4HnmfZydpvST0RI\nIuLjvJyYPm438fIYuFwuNGlb+31djzvtDgDmxuXjTyvvRbhEiXTVtGG9FwCQCumLZ6m+Gl+V7Rr2\nccaLfHdU7UTF2NQJedfcjAbyEEYInbswdblcqG3RIjZCOqKW3AQCgTAWyEMErNU/c58Fhl8j5H1d\n1RmtQ0pBZq79AGCzO4d03tFi/4lmHDjZjCff+hlGs//G3OV13XA6XaQ+iEDwggihAOjWmbHpsR3s\n48LSNvToLEiKluH5uxciYWkRnt3/D/SYNJCLPKvuYX6E0EAkhtKN4up7mvp93unyXHxDRXJkhqfi\nlbVP4MElvxnyuRi8I0//PbEN5Z3VA567ZYjNXseC7NRwcCjgxBjVCZksdvB5HPC4o/Pnw6R+eN90\nh4taa4bRbPfpz0EgEAjBAkVRrK22d5RcwOdCKRehtWtoqXHqXrVGHd2e7A6j2YbdhfVwOl04Xt6O\nF98vwt8+PIazdbTBgLfoUmsnRip5ezc9pvpWHf7+UTEqGrpR2dB/ej1THzQ9mQghAoGBpMYFwN7i\nJtaiMztFxfYzSIqW4Wz3WXSaO9DZ2oHN3z/NNjcFPLbUQyExjO4/U9ZVjaXJ5/WJGOksnot+qJC+\nOXA5I7fS73K5sOXIO3hu9cMQ8AQ+2185/BYO1Bfij8vvQk5U1oid81yRivmIi5Shvk03JuczWewQ\nC0fvTydExAeHQ42IEGJSOCMUxCWOQCAEJ1cuT8Nf3y1CTqpvgX+UUoKyOjXsDmfAC1Nqt3lMRqIC\nh0pa0NHjETfPv1eEo2faYLO78NX+atS20PfzXUcbsLQgDskxngWlzh7TqKVHHypphstFn6O4vAN3\nXJk3oEtpu5q+xmenqHDwZAsOnqTrnrZsXomObhNmZXnca8vdAimLCCECgYUIoV7Y7A51Elb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s9HrDya3cbn8pEXlYUWXTuaB3B4680HJz/HN+W74XQ5Ud/TjMgQFcT8vg1AkxV0l++6nsYBj8VG\nhEwDR4Q0eit0RhsSvcSMUiZCj84Mp9PXbY4RQvNmROH+G2YjIUqG267IHXXLdIbzsqORHCPHwZIW\n1tFwIBrb9T6P77x65qBWsQQCgUAYPlwOhewUTx52a5cR/9tTCQC4YF6iT5+fC+cnI0TMx4c7z6JL\nY8LfPyrGG9tLAABXr8og12sCYRyYlKlxrV0GmCwOpMSF4vYr8iAR8SEW8nwcuI6caUVhaRu4HAo3\nrpkBqZiPA+50qf6EkHeRfptbFGWFp47+mwlCZsfm4mjTCRxrPoXYTP+52Wa7BZ+V7gAAfFv+IzQW\nHeao8vrdNzmMdqmr6W7AjMiMfveRepklDER9Gy1uEqM9QkghF8Je74LOaPXJ065u0tDnjgmFUi7C\nls0r/b6fkYaiKCzIjUFtixbHKzqwKC92wH2bvITQi3cvRXqCYiyGSCAQCFOatPgw7DtOZzPcuo6u\nw1GFijEtNtRnP3mIANdfmIU3tpfg7x8Wo7jcs8DqfT8iEAhjx6QUQowN8qK8WEx3NxsTCXiw2p1w\nOJzgcCh8sqscAN01uqi0DdkpKpyt60ZeWni/BYvFzacAAA8svh0zo2cAAHicSfnxnTMFMTkAgOKW\nElySucrvvkyaG5fioM3QCQBYmNh/bRETEaoNICLkLzWOiZx4d/BWyukIlFprZn//TqcLp6u7EB4q\nQnhY3wjVWDFnehQ++L4Me4sb/QqhxnY9BHwuPnl6bb9mHwQCgUAYeZg+PXERUly+LM3vvudlR+ON\n7SUoLu+AgMeB1U43bA2TkUanBMJ4MCln8p09dJFiuFfhIePyZbY6UNnYg/L6HsRFhKCpw4DSWjU0\nBrpQflF+34nmqbaz2F1zEHHyaORGZYHPJQ3J/KEQh2KaIgFn2itgdzrA81NHxfRjWpWyGPGhMeBz\neFic1L8rTqw0CkKuALXdDQMeTxZARIgxRVCFesQNI4RaOg3sKl5dqxZagxUr5ySMWSpcf6TFhyE9\nIQwHT7agoqG730iPw+FEfZsOybFyIoIIBAJhDJmZEYF7r5vlU0c6EJFKCWJUIWjpMuDGtTOglInA\n4VLjeo8hEKYyQV0j1GXs7ne7Rwh5JroiAS2ETBY7Gw26Y30+AKCpQ49dRxpAUcCCHN+0OJfLhe2l\n3wMAfjPvRoh4ZNUmEKKkEXC4nKzQ6TJ2461jH8Ns93VmYyJCMqEUF6Uv9zFI6A2Hw0FiWBwatS2w\nOfqP+DCpcWdq1HjnmzM40cs5EAArer0jfzmp4aAo4I3tJbA7nHh3Ryke2nIAAJCb6seHewzgcChc\nsZxeZTxV1dXvPk0detgdTiRHj76bHYFAIBA8UBSFFbMTfBZf/bFpzXRcsTwNly5OwZKCOL+RfgKB\nMLoEdUTou8qfcF3e5X22d2r6iQi5G2C2qY04UdGJ7BQV8tMjoJAJWdeWnFQVFO7IwGdndqBB24Ko\nkHCcbCtFdmQGaw1NGBy5kG4AqjXrECaS4+XDW1HaUQkuh4tN+Vfi9cL3IOQKkO2u9Qm0H1NyWDwq\numrQoGlBirJvYziJkAelXISWTgM+2VWB3YUNePuPF/rso2Wa14V4bNKzU1RYVhCPPccaceR0Kz7a\nWc4+NxYOcYOR5M4fb2jT9fs8Y+qQPAa23gQCgUAYPktmxmHJzLjxHgaBQECQC6GdVftw5f+zd9+B\nUZXZw8e/U9N7LwRIA0LvvYrY6w+xr66u69pddS2L67ru2l93dd1FV8VV1oaKFZEmIEU6oYSEhFTS\ne5vUae8fM3OTSSOBFMr5/ENy586dZybDzD33Oc85CZe0m6Upr7KVQQ7waQmEXPW29KwT9hPJmAhb\n+pOvlwuVtU3otWoeun68sv+nR75Vfg7xCOSh6Xf2zZM4RymBUJNtPU5Fg63oQFl9BZuzfmFT5g5U\nKhUB7raKOp7dDISG+tkKJmRX5XYYCKnVKpY9voDiinre+CyR7MJqzBarUzUex4yQl4dzvyjHYtV3\n7VV8HIL9B75pbligJ2q1ql1lOAclEAqTQEgIIYQQojvO6tS4uuZ6fs7a1W57aVUDXu56XHQta1Mc\na4QclbUc60PK7EHTtFFhhAbYymE3t0q78tJ78NTc+/F1lRPMnvB2sQUVtc2219tFYws6CmuK+fDg\nl4At7XB7zl6g+4GQo3Lcp4e/7TQ10sNNR3SEDyEB7lisUFvnvF6opq4ZTzcdWo3z2z8y2Ba8lVU7\n9xPyPUm37/6g06oJC3Anr6TWqTS8gwRCQgghhBA9c1YHQlq1Vuk/49BsNFNSWU+Iv3OurmONUF6J\nbUbIMVt0z7VjcHfVcsOiYcq+JQZb9bIAdz+eX/g44V5dl4AW7Xm52ILKmkZbIKS3F5jIqc6nwdjI\nJXHzgZYKcN1NjYvyseVSVzfV8vGhr7vc11GFp9rgvC6pxtCMj6e+3f7hQZ7Kz2PjWha9nimLWCOD\nvaitN1JR08gbnyXy2if7lduyC2vw93bpsOKhEEIIIYRo76wOhGYNnkyhoYQDBUkYzUZe2f42H+1d\nh9FkYXSsc4dmxxqhvDYzQrPHR7Dy+cuc1oE4GoFeEjefUK/g/ngq5xzHjFBNky3wbDC1zLKMDhnG\nreP+D12r8uPdbU6r17asK0opTe9yX8dMzv3/bzNF5baiDRaLlZr6Zrw92gcM4YEe6LRqgv3cuHxW\ndLfG059iB9nSCN/4LJGNe0+wNTEfs8WKocFIaWUDQ8J8TnIEIYQQQgjhcFYHQpfH23rU/JD2E9tz\n9rIv/xBrc78HbRMThwVT39xAlX1tipteg8qlnuIK2wlx6/VDbTkCoTAJgk6ZY41QbZPt9a5ubFnk\nf23CpWjVGiK9Wyr0dXdGCOBP8x5isG8k5Q2VJJekUW9s6HC/1n0ZPl57DABDgxGLxdrhjJBOq+Ev\nd03n2bumMyomEE83HbddltDtcfW1eHvZbEcTPovFyrc/p/PQ37cAMFjS4oQQQgghuu2sLpYQ5RvB\n6JDhHCk+Rnp5trLddVAW4eEXcv8Pf0Kn0fLWFS9Qay3HdexWTCWRGLNHOfWQaSuvuhDA6URd9IyX\nUiyhFpPFrJTRXjLqchKC4gAI8Qoiq8rWE6i7M0IAapWaCO9QcqryeHbzP/B19ebh6XeSYJ8pcmid\nJmZoMJKSVcHKjakAhAd60pHRsS0pcZ/+7dJuj6k/xEXZZoRUKltQlHqikv+uTlZul/VBQgghhBDd\nd1bPCAFcGr8AgCZzM6EeIVga3VAHnuCDgysxNNdR2VBNfk0R2bUZAGiD8xg73Ae9rvMmnznV+eg1\nOkI8Tt4cTXTM28ULN60re/IP8UXSagCmD5rI4pGXKWtuRgbZApcF0TOVNUTd5Qim/Nx8qGky8Jct\nr7Pu+M/OY2hVFW5fSjGP/2sb+4+VMComgOsvdA6azgZe7npuvng49y0ey5zx7UuvDpXS2UIIIYQQ\n3XZWzwgBjApuKXLgYQ3ElB+COuYwe/MPKdtTyzIwqFoaa3oMSwLmOR3HarWiUqkwWczk1xQx2DcC\ntfqsjxMHjFat4ZGZd/HPne/zdcpaAAb5ODeNuyB6JtH+UcT4D+7x8RdEz2SIbySxAUM4Xp7Fy9ve\n4rMj37Iodo4SaAW1aW43dWQoV82JYVRMwBlTAKGnbrjQ9n7fcbig3W2OqndCCCGEEOLkzvpAaMfB\nIuXnY2lNmMtjCBldRHF9CV4untQ2GXhn3yeALf0q0juUxMKjlBjKCPa0zfgYzUb+sO55hgfGcEn8\nfEwWE1E+0uzsdI0NTeCVi5byzr6P0Wl0XDX8QqfbtRrtKTep1ao1xAfaChoMC4xheFAs+/IPUdtk\nwNvVVqghNMCDNx+bj4+nHovF2uW6sLNN2yAPbGuchBBCCCFE95zVgVBtfTOvf5aIPsEbtUcN1iZ3\nQMVfL3yUjw59xUWxc9mStZPC2hLAlpoFcKwsgwOFSVwcNw+AYkMZBbXFFNQWc6zMlkI3LPDMqxp2\nNgpw9+OpOff3+eOE2wtbFNSWKIEQnLvrZhwV7sIDPbj98pFnRK8jIYQQQoizyVkdCG3al4vVCk1p\nE9H4FWMuD+O3V4/G19Wb+6feDtBuxqG8vhL2w46cvUogVFJXrtzuqBg3IWxUvzwH0TtCPW2BUGFt\nMcODYgZ4NH3P013Pe0svxMdDj0YjKZxCCCGEED11VgdCP/6SjVaj5p0nrqCsqoERQ/1Pep8Adz/G\nh40isTCJpOJjbMjYjkZtSym6YfSVrEv/mXCvEHzdpCfL2cQxI1RoKBngkfQff+/OKx8KIYQQQoiu\nndWBUH6pgXkTIgnycyPIr/vrPy4fdgGJhUm8uG0ZRrNR2T4qeBiXxs1XAiNx9nCs9yptNbsnhBBC\nCCFEZ876nJqLpw/p8X1GBQ9jsE+EUxAEEOQRgKvOFV0PSzmLgefrYlsLVNVYM8AjEUIIIYQQZ4Oz\nOhAaHOpFQjfS4dpSqVRcNuwCp206jQ6fVovsxdlFq9Hi5eJJRUPVQA9FCCGEEEKcBfo8Ne6VV17h\nwIEDmM1mfvvb37Jp0yaSkpLw8/MD4M4772Tu3Ll89913rFixAo1Gw3XXXcfixYtPeuxr58eecj+Y\nmVGT+OLoD/i4eHFx3DwivUNRq87quPC85+/qQ051Pp8c/oYbR1911vYKEkIIIYQQfa9PA6Hdu3eT\nnp7OZ599RlVVFddccw3Tpk3jscceY+7cucp+DQ0NLFu2jFWrVqHValm8eDGLFi3C27vr0sdzJww6\n5bHpNDpevWgpGpUGF63+lI8jzhy+brZA6JuUdVw+bCHeLtJgVAghhBBCdKxPA6HJkyczZswYALy9\nvamvr8disWC1Wp32O3ToEGPGjMHDwwOACRMmcODAAebNm9fl8TXq07vi7647dxpsCpwC2qqGagmE\nhBBCCCFEp/o0F0ytVuPmZgs2vvjiC+bNm4dareajjz7itttu49FHH6WyspKysjL8/VvW+vj7+1Na\nWtqXQxPnoPL6SuXnysbqARyJEEIIIYQ40/VL+eyNGzfy1VdfsXz5cpKSkvD19WX48OG88847/Otf\n/2L8+PFO+7edMRKiOxYMnUlGRQ4AlQ0SCAkhhBBCiM6prH0cdWzbto0333yT5cuX4+XlXJUtIyOD\nZ599lgcffJDPPvuM1157DYCnnnqKiy++2GkdUVv79+/vy2GLs5DVauVQzTHWle5gjv8kRnjF8EPx\nFsb5jGCkV+xAD08IIYQQQgyAiRMndri9T2eEDAYDr776Kh988IESBD344IPcd999DBs2jD179hAf\nH8+YMWN4+umnMRgMqFQqEhMTWbp06UmP39mTEqdm//79Z/1rGlAZwrr1O6jU1fJl6XrKGyvJayzm\nxtnXDnh/qHPh9T1TyWvbN+R17Vvy+vYdeW37jry2fUte397X1eRJnwZCa9asoaqqiocffhir1YpK\npeLaa6/lqaeewsPDAw8PD1544QVcXFx49NFHueOOO1Cr1TzwwAN4espCd9Fzfq62SoNHilNR0VJM\n42BRMpMjxg7UsIQQQgghxBmmTwOhJUuWsGTJknbbr7766nbbFi1axKJFi/pyOOI84O3ihYfeHa1a\ny0PTfo3JYuGFrW/y+i/v8cC0XzNt0ISBHqIQQgghhDgD9EuxBCH6i1qt5tWLluKudcNd70ZFQxUA\nRouJZXtWMCIoFh9X5/5U7x9YicVq4TcTbxyIIQshhBBCiAHQp+WzhRgIge7+uOttZdv9XH2U7Y2m\nJr5KXuu0b3JJGmuPb2F9+laqpNKcEEIIIcR5QwIhcU5TqVRKkQQ/Vx/WZ2wlpyqPNWmb2JN3kE8O\nf6vse6Dw6EANUwghhBBC9DNJjRPnvFcvWkqJoRxDs4F/7vovf1j3vNPtMX6DyajMYXvOHhZEzxig\nUQohhBBCiP4kM0LinBfuFcK4sARmRE0iwiu03e33Tb2NUcHDSCpJ5W9b/onFapGmvkIIIYQQ5zgJ\nhMR5Q61SM3XQOOX3SRFjWTzyUiJ9wlgy6nIADhenUNlQzUvblvH8z28O1FCFEBW9OmIAACAASURB\nVEIIIUQfk0BInFfGhIwAIMQziMdn/Y4lo64AYHhQLFePuAiAbTl7SCxM4nBxCkazccDGKoQQQggh\n+o4EQuK8khAcz4PTfs2f5j3U7rYg9wAAvrZXlrNarfxj53Lqmuv7dYxCCCGEEKLvSSAkzjuzBk8h\n2COg3fYg+7YGU6OybV/+If574PN+G5sQQgghhOgfEggJYRfs2RIcTY0cr/y8M3c/JXXlAzEkIYQQ\nQgjRRyQQEsIu0N0fjUqNn5sP19jXCwEYLSbe2rNiAEcmhBBCCCF6m/QREsJOr9Hx+xl34efmQ7T/\nYO6d8iuGB8Xyn70fcbQkjaLaEkK9ggd6mEIIIYQQohfIjJAQrUyJHEdcwFAA5g2dTqhnEPOH2pqs\nbsneOZBDE0IIIYQQvUgCISFOYmrkeNx0rmzJ2oXFYhno4QghhBBCiF4ggZAQJ+Gi1TNz0CQqGqo4\nXHxsoIcjhBBCCCF6gQRCQnTDvKHTAdiS9csAj0QIIYQQQvQGCYSE6Ia4gKGEe4Wwt+AwTabmgR6O\nEEIIIYQ4TRIICdENKpWKSRFjMZqNHC1JHejhCCGEEEKI0ySBkBDdNDF8FAAHC5MHeCR9q6C2mIr6\nqoEehhBCCCFEn5I+QkJ001C/KADya4sGeCR9x2g28vCaZ9GoNXyy+E1UKtVAD0kIIYQQok/IjJAQ\n3eSqdcHH1ZsSQ9lAD6XPJJceB8BsMZNWnjnAoxFCCCGE6DsSCAnRA6EegZTWV2C2mAd6KH1iX/5h\n5efNWdJAVgghhBDnLgmEhOiBYM9ALFYL5fWVAz2UXtdgbGRrzm58XLzwdfVm54n9NJqaBnpYQggh\nhDgPWK1WMitysFj7r3m9BEJC9ECIZyAAxXXnXnrc/oLDNBgbuShuLguiZ9JgamR3buJAD0sIIYQQ\n54HEwiSe3PAS7+9fCUBmxQm+PPoDJ6ry++wxpViCED0Q7GEPhAxljA4Z4MH0sqrGWgCifCKI8o3g\nq+Qf2ZK9k7lDpw3wyMS5pt7YwEeHvsZkMRHtF8XFcfMGekhCCCEGWI494FmfsZWKhiqOFB+jydzM\nkeJU/rLgkT55TAmEhOgBx4xQyTk4I1RvbADAXedKqGcQQ3wjSS3LxGq1SvU40asOFiazMWMbAFuy\ndjIlchz+br4DPCohhBADyWgxKj/vKziMi9YFgPSKbEwWM1q1ptcfU1LjhOiBEI8gwDYjdK5pCYTc\nAPBz88VkMck6IdGr6o0NpNirEzpskcIcQghx3nNkpjy/8HE+uObvLL/6VRbGzMZoNpJTldcnjymB\nkBA94OvmjU6tPSdLaLcNhLxdPAGoaaodsDGJc89fNv2Ddek/A/Dcgsdw0ejZlLmjXxfHCiGEOPNU\nN9YAEOoZhLveDb1GR3zAUACOl2f1yWNKICRED6hVaoI9As/JYgltAyEveyBU21Q3YGMS5xar1UpW\nVa7y+2DfCKZHTaSkrpyk4tQBHJkQQoiBVtNYi1qlxkPvrmwb4jsIoM8KJkggJEQPBXsGYmiuo665\nvk+OX1BbzF82/4Oyuoo+OX5n6pt7d0boWGkGT6x/gRe3/uuc7bskeqas3vk97aZzZWH0LAB+ytwx\nEEMSQgjRz6xWK6/teIdHf3yO9PJsZXtVUy0+Ll6oVS3hSYR3CBqVmpxqCYSEOCOEeDgKJpT3+rEN\nzXW8tPXfHC1J46PDX/fovm/sXM6zm/5+yo9db2xAr9Gh1dhqqHi7eAFQ02To8bEMzXW8sv0tsipz\nSSw8SnlD1SmP61Q0m40cK02n9hTGLvpORkVOu21xAUMZ5B3GnvyD1DRKGqYQQpzr6oz17M5LJLem\nkI8Pf01yyXFyqvKobqzBx9XLaV+dRke4Vwi51QUklxwnt7qAmsZams3GTo7eM1I1TogeCnb0EjKU\nMtRvUK8d12q18tzm1ykylAJgMpu6fd8mUzM7TuwDoKKh6pQqcNUbG5TZIABvFw/g1AKhjRnbMTS3\npNTVNzeAR48Pc8o+OvgVa9O3MNRvEC8v+mP/PbDokiMQGh82kgtj5gCgUqm4IGYWHyR+wf/b8R+e\nnH0f7nq3rg4jhBDiLNY6iDlaksbRkpaLuD6u3u32H+w3iNyaQp7d3LLfUL9BLBl1BRPCRp1WZVuZ\nERKih05WQttitfBNyjoyK0706LjHy7PIblUVxYq1R/ft6OeeaB8IndqMkMliZu3xLbhqXZT+MI71\nR/0ls9L22mdV5mKQNU5njMxKWyD00LQ7mRQxRtk+Z/BUAI6VZbDBXlZbCCHEuanZ1AxAQlAci0de\npqRIAwwLjGm3/5JRl3PdyMv4v4RLCXDzA2zf7y9vW8aq5B9PaywyIyREDzlS4w4UJJFenkOYVzA3\njL5SuSKRUprOJ4e/4RO+4fPr3+r2cTe3KSFcXl/Z7fu2Lkf82o53mBE1iQen/prvUjdQ2VDNrycs\nOekx6o2NSsNYaCmW0NM1Qrty91PRUMWlcfPxd/ezH7t/A6HC2mLl52Nl6UyKGAvAh4lfcqT4GADx\nAUP57eSb+3Vc5zOL1UJGxQnCvILbzfh4unjwyIy7+Psv7zr97YQQQpx7msy2QCjKN4Iloy7HZDGz\nMXM7ABPDR7fbP9QziOtGXQ7ApfHz2ZWbyLv7PwHg86TvCXDzZX70jFMai8wICdFDwR4BACSXHmdX\n3gG+TlnLLV8+yO68RAAOFh5V9u1uANBoauIXe2qbQ1drkJbtWcGLW/+t/J5Smg6Axt5s7JcT+8is\nPMEnh7/hx+ObTzpL1Gw2YrKYnGaEAtx80ajU5NcUOe1b22TA2ElurtVqZXXqT6hQcUn8fOV4/RkI\n1TYZqG2uUxqxJdtfm3pjA2vSNpFfW0R+bREbM7fLbFE/KjaUUW9sIMZvcIe3TwgbBUBpfc/X3tU1\n19Nkv8IohBDizOb4vHbR6AHQqjVcN/IyJoWPYYhvZJf39XLx5MLY2Xy8+J+8fsmf8dR78J99H5Nb\nXXBKY5FASIgectW5csPoK7k0fgHTB00EwGgx8dqOd6hqrFHW6gCsTt3YrWPuyTtIg6mRq0dcxGXx\nF6DT6DA01ynrbJrNRrZm7yap+BjNpma2ZO0ksTCJtce3cLDwKGnlmQzyCeflC59SjvlVq+niTZm/\ndPn4jgp4rQMhvVbPYN9IsipzlcCnpsnAnd/8gTd2vt/hcY6VpZNZeYLJEWMJ8Qzq80DoaEkaFfXO\nhRgKa0sAmDN4Chq1RpktSy/PxoqVy+Iv4LL4CwA40UdVaER7jvVBMf4dB0J6rR5fV29KDD0LhCxW\nC7/++lGWbnzltMcohBCi7zXbZ4RctHpl23WjLufx2fd0e72PTqMj3DuU28YtxmK1cLAw+ZTGIoGQ\nEKfg2oRLuH38dUyNHO+0/eVtyyirr2D+0BkEuvuzKvnHbpXZ3pxlC1QWRM/ktvGLuSx+AdBy8rg1\nexf/2v0Bz215g0PFKcr93j+wkhe2/otms5ERQbFE+UZw75RfAbCv4LCyX2kHs0uZFSdYn74Vq9VK\nZUM1AH5uPk77xAdEY7KYyKq09X7Jtv+7J/9gu+MdL8/i+Z/fBODyYbZAoy8DoY0Z2/jL5n/w38TP\nnbbn2HsNDPUbRKzfYLIqc2k0NiqzYvEBQ4nyCXfaV5ya7Mo8vk5e261mqCcLhACCPAIoq6/AYun6\neHnVhfyQ+hNmi1lJIZWgVgghel9pXTlfJK3u1e/xJvvFVb1Gf5I9Ty4hOA6AtPLMU7q/BEJCnIaR\nwXGoUClV2jIqcojwDuXOiTcwKXwMVquVYkPXzVctVgsppelE+0UR6hkE0K6TcmZlSxPK7Tl7OzxO\nQpDtwyDInroHMDliLG5aV6o7WOfz1IaXeG//p2RVnqC8wXYyGeDuXG3O8QGzM/cAAHk1he2OYzKb\n+M/ej1m68RWazUaGBcYoix3dda5A7wdCNU0GVhxcBdhSFFtLLEwCYHTIcEYEx2GxWkgtz2RX7gHU\nKjXDAqMZ7BsBwIlTnEoXtuqEj69/nk+PfEtqWcZJ98+szEGlUjGki0qLwR4BmK0W5f3YkarGGh5Z\n+xwfHvyS7Tl7lRlAsL2nPz7Us7LzQgghOrfq6Bq+OPoDr+34T4+q2XalbWrc6Qh098fX1ZvdeYls\ny97T4/tLICTEafBx9ebDa//OCwufAGylgO+d8iv0Gh3BnraApO2ahwZjo1PpyPrmBixWi1JYAGy9\nVcCW+gXOHZX3t5rpaW14UCzQsoYJYP7Q6fi4elHdWNNuf0dVuoNFycpV9YBWYwCYFD4GP1cfNmXu\n4FhpOsdanfA6nsPO3AP8ZF/kmBAUx5/mPaRMbTu6QzuatfaWb5LX0mhqAsBd66psf2//p+wrOEyE\ndyghnkGMsL8mXyX/SE51PlMjx+Pj6k2EVygalbrfZhH+ueu/PPrjc3x5dA1/WPs3vjy6pl8ety9Y\nrBaW7V7B775rScNMKzt5pcJiQxmB7v642tdudSTavn5oV25ip/scapX+8MXR1RwoOKL8nlGRw7fH\n1lNsL0EvxPnuh9SfePCHZ7qVmfDv3R/y3ObXaTQ29sPIxNnAZDGzJ/8QAEeKU/ks6fteOW5HqXGn\nSqVSMXfINADlXKQnJBAS4jS56lzxd/flquGLuHPC9UoQ45iZaZ2WZrFYeGTtczz/8z+xWm2BSK19\nHZCXvqXRjo+rNyOCYjlakkZqWYbTIsBms5EIr1AujJnN72f8RtnumJXyd/NFq9bi4+rNuLBR+Lh4\nUdVY49TMsvVVnc2ZvygpYo6ylA5ajZbrR19Bg6mRZza9xi77zBBAWV05NU0GPj+6GrCVvLx36m3o\nNTpln75IjSurq2Bd+s8EufszyDuMKvtsV5OpWam8d91IW3WZYQExqFQqpZjEBdEzlecV7h3KieqC\nbqV1na69+YfIrSnk86TvyanO57tj6/v8MXtTRkUOZfUVWK1WViR+yZZs5wqH3UlJqGuud3qPd2T+\n0Om4aPSsTtvYafDsCF4TguIoqStnzfHN7fbZkrXrpOMR4lyXXZnHR4e+oshQqqQ3d+Xn7F0klaTy\nZfLZe6FG9K6k4lQMzXUsGDoDF42eQ0Wntg6nLUcg1BupcQA3j70GN51rtwL+tqR8thC95Oax1zj9\nHuRuC4RaL/7OrSmgvL6S8vpK9uYfYkrkOGrtfXo87bMnDjeOvopnNr3Gsj0raDA14q5zUwKKkcHx\n/GbSjQCoZqicOjFr1BoenPZrvF080ao1SnOypza8xNtXvoi/my/FrXogFdeVUWy/itJ2Rghs65Z0\nap2SppdUkkpeTSF5NUV8d2wDxYZSrh5xETeNubrdfR2BUF0vBkJfHP0Bo8XEklFXsOPEXnJrCmm2\nGDlakorRbOSq4YuYEWUrYuGudyPaN4oMe/8aR/ogQJRPOLnVBZTWlRNiT0nsC82mZppMTQwLjGHu\nkGm8s+/jkwYEZ5IGYyNPbXgJgMuHLWTN8c146N2VL5wAdz8OFiWTVpZJfGB0h8cwmo00mZuVGcLO\neLp4cOXwC/ni6A+sOLSKUcHxBLr7K7OdaWWZfG8vQPKHWb/jYNFR/rP3Y2V2EMBN68rP2bu4btRl\nqFVyrU+cn0wWM8v2fIjZfqGno3WirbWeBUorO7W1FuLsV9VQzbacvXjo3Yn2G8Su3P0AzB06jZzq\nfDIqclidupFFsXOdLnr2VJPJsUbo1I/RlqfOHYOx54GQfEsI0UccqXE7cvfx502v8UnealYmrVZu\n//TIt5gtZqUynKNvj8PwoFgmhI9uqYI2ZKpy24jgWOXnaYMmMKLVCb5jW0JwPADerYIkRzDj6NVy\n4+irmBE1CQAVKvxcnYslOMweMoU7Jl7PHROvZ4m9lv9be1aQVp7JrMFTuGH0lR3eT6/RoVGpSSvP\n5M+bXmPlkc6n1b9NWc8XSau7zEGubTKwNWc3EV6hzB48RXlu9eZG9ttTpNr2ILh9wnXoNDrmDpmG\nVtNy7SfKx7ZOqK8LJtQ02wLdII8AFsbMIsZ/MJWNNcqM4JkuoyJb+Xl16ka89B48v/BxwFby+q6J\nN2KymHh5+1tO63VacwRNnt0IAK8ZcTGDfSPZlLmDf+76L89seg2j2cjx8iye/ulVZT8PvTszoybz\n2sV/4vbx1wFw05irmT5oAmX1FSQVp57qUxbirPfdsfVkV+UxyF4Ypqt2DGBb8+dworrgrPl8Er3r\nzd3/5X+HVvH23v/x+PoX2JN/CD9XH4YFxijfmSsOrmLpxlco6KDn2/acPd1K/W7qxdQ4B0+9xynN\nCEkgJEQf8dC5MywwBkNTHcdKM8htLGKfPdd2eGAM+TVFbM3eTa29l01HJ4k3jr4SFbb1NguGzlS2\njwiMa7dvZ1pfLXcEQtlVeQAM8gnnvim/YlL4GMaFJTgFCp2ZGD4aH1dv6owNjAoexr2Tb+30yrtK\npWJ0yHAajU2klKbzTcparFYrzWajUy+iemMDnxz+hi+O/sAzm17r8Eu72dTMztz9mC1m5kfPQK1W\n42uf7aozN3CgIAkPvbuSmugwLDCGt694gbsnOTdP7Y2CCX//5V1uXfUwt656mF+tetipZLlDTaMt\nEPK2/339XH0wWUyn9IE9ENLa9KAaGzaScK8QPrjm7zwy87dMCB/NXRNvorbJwMvblnWYamiwP9eT\nzQiBLW3xPnvlQ4dvUtbx0rZlyu+X28ufgy3AvDR+Ae9d/SpXDV/EvKG2pnqOSowOFouFBln7IM4D\njcZGvj+2AW8XT+6fejsAq5LXsCF9W6f3KWvVwLve2NCjht7i3JFc4lx8yNBcx9TI8ahVLd+3ADlV\neTy1/qV2M43/3PVfPk/6/qRFFZQ1Qr2UGge275dGUxMmi7lH95NASIg+olKp+OsFj7Hy+mWsvH4Z\n/jrbbIuH3p0Hp92BTqPjq5S1LWuEXNoHQoN9I7lxzFVcPeIionzC0ag1hHgE4t+multXPHUtJ5+7\n8w5S11yvpD7EBwxFp9Hx+Ox7eGrO/d06nk6j466JNzJnyFQem3n3SYOnP859gJXXL2N82CjMVguN\npiaeXP8iz/z0mvJh6ejx4+fqQ3pFNs9t/ofTCXVySRq//e5J3tv/GSpUzLTPYvm42D6Ys+vzKW+o\nZHzoSKWpbGteLp7txum4unWqBRPqmuvZlXsArVpDhFcIJouZnztYm1JrnxFyzF752kuUVzZWn9Lj\n9re2gVCsvfy1u95NSWtYGDOLKRHjKKgt7vAEyqDMCJ08EAIY4jeI3066iWi/KMCWDlnbZOC3k27i\n8+vf4lfjF7e7j7eLJyqVimGB0YR5BbMn76ASbDebjTy35XXuX/2004UBIc41pXXlfHNsPXXGBi6K\nnavMCAG8u/8Tp0I9rTlmhBxrW9v+vxfnPlvhpvYzgdMGTQDgoti5TAgfzd8veYbrR9nWDu/LP8zR\nkjRMFrNTU+uOKtW25ti3t9YIQcvF5LrmnjVKlzVCQvQTjcp2gh7k7k+ghz9jQxPYl3+IHPvsTGfr\nRq4ecZHy8/1Tb1NO/rvrhtFX4uXiQUVDNT9lbufV7W+TUZFDiGeQU9pcT0yJHMeUyHE9uo/jJDi/\npkgpw/1Vyo+EegYraW13TryBbTl72J2XyN78Qxwvz+JI0TGyqloW+gZ7BChrmRz/7quylcye0CYt\nrisB7n6469ycKvL1xPHybAAuip3DDaOv4vmf/8mhohRqmgx4t0pzdMwIeelt2/zsV9UqG6qdTlLO\nRFarlePlWQS5++Pr5sPx8ixi/Yd0uG+UbwR78g9SWFviVMIdUNI/uxsIASyMmc2CoTO54Yv7ABgb\nmsDCmNknvZ9KpWKoXxSFtSXUNtXh6+bNm7v+q5RZz6zIUdJGhTjX3Lf6aeXn6YMmom1zYei9fZ9y\nw5gr8XP1YXPWLyQExxPqGaTMCF0SN48VB1fxQ9pPDA+MUWbMx4Ul9N+TEAPiWFkGVqzEB0TjpnPh\nUFEKg30jGR5ka4fh7+7Lk7Pvte08CFYmfc8nh7+hydzMHROud/puqG6s6XDNsUNfpMY5Mg4MzfXK\n2ujukEBIiH4y2XcUa0q2ck3CxYBtNmZf/iF+zrbNInRn/cTMqMk9flx3vRvXjboci8VCbZNBaYY6\nsp9PBh0fUn/c+LKyrXUusQrb1fyKhip25yXy2o53bNtVKiaFj8HTxYMtWTtZMuoK5T6TIsYwLDCG\n1LIMVCoV40K7/2WtUqmI8gkntTyTZlMz+m58IFssFlan/US9sUFJB4wPsBUIiAuI5lBRCimlx50a\n7dbYr4x5u9oDIfuMUFUHJc3PNJXGGmqbDIyOmsSdE64nuyqv04II4V7BABTUFjMmdITTbT1ZI9Sa\nWt2StOAohd4djoDrYNFRVqf+RF5NIT4uXlQ31ZJWniWBkDgnrE//GVCxKHYO4LzOByDcOwSAv1/8\nDIbmepbv/5Qt2Tv5OWeXsgYowiuUf1z6Z9LtawEnRYwlqSSNAwVHuGf1H5X9Vi5ZprRFEOemFPvF\noiWjLichOJ79BYcZFzqyw9T3cK8QPHRuSiGkHTl7ndLMX9y2jBcXPkGgh3+Hj9Xci32EHByf+47v\nm02Zv1BkKOmwkFNrkhonRD8Z5RXHssufZ/ogW0Uzxwm0Q9tiCb1NrVbz4LRfMzY0gWi/KG4+yYdD\nb2t7ErzAvpbDITZgCD6u3kozWbBVnXv3ypd5fPY93DvlV/zr8r8xa3BLMKjX6Hhi1j2EuAQwfdBE\nPDtIL+zKEN9BWK1WZc1UV6oba3h+65t8dOgrvkr+kY0Z29CptcrfcULYKFSoeH//Sqf0KyU1zv73\n9beXKC+rr+jRWPuK1WrtNKe6oNFW/CA+YCheLp6MDhne6XHCvGwnXe8fWMmT619UKhxaLBblNejO\nGqG2fjf5FgLd/Znf5v3SFccX4vepG8mrKSTA3Y9n5j8MSEUscW5oNDby3v7PeG//p0oacdv3tuME\nNtInjOFBMTx3wWPcNfEmon2jlH3ya4sorSvnYOFRpan3w9Pv5K6JNxFr7+sFdNnkWJwbjpWmo1ap\niQ8YilatYWrk+E5nbNQqNTOiJhHpHUaEVyip5ZlszGhZg1bdWMO/93zY6WM5vh/02t6rGtcyI1TH\ntuw9vL33f3yTsq7Dog6tyYyQEP1EpVI5XR2JCxjCpIixFBtKGeQT7lQCu6/otXqWzn0Aq9Xa71f3\n2qZFXT58IYEe/hwtSUOFil9PWALY1kU5SoUvip3jlL4X3CblCmwll2+LvJpJkyb1eExxAUNZm76F\ntPKsTmc6wHYy/+zmf5BfU4Sr1oVGUxNVjTUsGDpDCb5iA4awKHYO69J/JrPiBAnBcVgsFqVAhbeL\nl9NzKK07MwKhr5J/ZGXS97x9xYvt1p61BEKdvzYOYZ7Bys+ZlSfIqsxlRFAst3/9iBIY9nRGCGzl\n2xdEzzz5jq04Hie/pgiAVy9aiqfeAw+9O4WGjivbCXE2OVLSUhXR0QJgX76t2baX3oN7p97W7j5u\nOlcujJ3NBTEz+eTwN3x3bAMA7+z7GIvVwryh0wFw1bpwYexsLoydzZdH1/B50vecqMon0L3jq/ui\naxaLhSMlxwh09yfCO3Sgh9OhJlMz6ZU5RPtF4apzPfkdgLsm3YTVamV3XiIbMrYxOWIsblpXJQDq\nrBDRhvRtHCi0pbP37oyQ7XN/V24i207sUbYfKEgijM7XVUsgJMQA0Wl0PD7rdwPy2AOR4tD6JPjC\nmNlEeIWyeORlLB55mdN+GrWG1y7+Ez+kbeLS+AXdOvapPp/4QNvsk60h6AWd7re34BD5NUXMGjyF\nWP/BfJD4BQDT7f2KHOIChrIu/WdOVOeTEBzHrrxEjhSnMjI4njB76lhHjXb7g8lsYlPWL0wbNEGZ\nndqXf5iV9k7hBwqTWBgzy+k++Y0l6DQ6hvhGnvT47no3bhu3mBUHV2HFSmldOcEeAU6zY/3VP8mj\nVYEQnVqr/B7o5nfSMsJCnOnSy7OVzyCwnXCeqC5ga85uBvtE8OKip9qtDWpNrVJzy9hrSQiK56Vt\n/+ZQUQpatZZZHaRet66u2ZM1mKLF+oytvH9gJSpU/GXBI0pftDPJ8fIszBZzj1KQwfbdO23QBKWg\nQrp97SzYetBZLBanFOe65no+SPxc+V2r7r0wxNd+0XRL9k60ai0PT7+T13cuJ7HwCGFena8vldQ4\nIUS/aJ0W9evxS7oMXgLc/fjVuP9zKtfZF4I9AvFz8+FIUUqX1cT22sueXzlsIeH2FDCAOH/nUt3K\nSYO9AIOjXPpt4xYraSouWj0+Ll6UtGpq2x/2FRzmvf2fcs93T2Eym8irLuSV7W8pt+e2uXrXaGyk\ntLmCaL+obpVVB7hs2AUsnfsAACV1Ze36CrV+7fpS6xRJXzcf5b3m7+5Hg6mR+uaWBr+rUzcqf18h\nzmRFhlJe2fYWf/rpVcrqKpTF6YcKk3l770foNDoenH5Hl0FQa3EBQ5SfJ0eM7TC1eLC9umZWZW67\n28TJWawWfkjbBIAVK2/t+R+bMnewxr7tTOFYH9TTQKit1pktJouJfQWHnW7/PnUDRouJuUOm8ef5\nv+/Vi7JjQxMYERSLChX3T72dGVGTiPEb3K4keFsyIySE6Betr9J398S6r6lUKi6InsWXR3/g56xd\nXBQ3t8P9aptsa1xCPYOc0gbc9W5O+0V4haJRqUmvyMZisXCwKJkANz8Gt5lRCfYIILMqt93Vsr6U\nZ08TM1pM7C04xJY2pb43Zm5nT95BBvtF8sSse0ivyMGKtV1fppMJ9gwEbA0cHemADv31d2/9XvNv\n1STYUcWorL6CSF0YFfVVrDi4CoDPr38LIc5kO3L2KieWT899kCjfCO7+7knWZ2wFbBeYelKJ0svF\nkzCvYAprSzpdgxfkEYC3i6d91lz0VLGhjGJDKTOjJuHn6sPqtJ94e+9HACyMntWtIj39IbfaVsk1\nppOqoN3l5+ZLoLs/YV5BJJWk8dmR78itLiCnOp/bx1/HD6mb8HP14TcTtVApCAAAIABJREFUb+zV\ninFgy7L507yHqWyoUjIvJoSPIqMyp8v7nRlnI0KIc15PSif3p0Wxc/gmZR1r0jZxYezsDivk1DbV\noVVrcdG6EKzVMzNqUoeFA7QaLWNCE0gsTOKjw19jaK5j0tAx7a56BXkEcLwim7KGyg7XPfWFolaz\nM2/sfL9d41N/Vx9qmgwcKDjCL7n7OFBgy+GO72EgFOjmhwoVOVX5Tn0lHD2B+kPr95qjbxNAgJst\nT/zJDS+h1+gY5B3Wb2MS4nQ5enS9etFS5eLKuNCRJBYmMSwgmovj5vX4mJfFX0BySRpjOimEolKp\niA+IZl/BYSrqqzrtYVfVUE1uTSHxAdG9foJ7Niu0L9SP8ong0vgFrE77Sbktr6aQaP/Bnd21217b\n8Q678xIB+NO8h7osatOZ6qYaVKjwcTm9tcpatYZlVzwPwNt7/semrF+U9Ov86kKazM38atziPnuP\naNUap/YNswdP4bvUjV3eR1LjhBD94lQqhvUHX1dvZg+eQqGhhHf2ftwunQugtrkOL70HKpUKtUrN\nQ9Pv7HQB/50Tb8BF68Jq+4dvR4UGYu3BRVLxsV58Jl0rrC1GhQp3nRsWq4VL4+az/OpXuTR+AW9d\n8QJvXv5XrhqxCLAFSttybItNuyoi0RGtRkuQhz85VXnKl/OCoTN4bNbdvfuEutB6PZpfBzNCJouJ\nemMDqa2ucje3CtqEOBOVt2l6CnDnhOu5KHYuj826+5TSjBbFzuHhGb/pcmba8RlwrCy9033++vM/\n+euWN/j0yLc9HsO5rMD+fRLmFYyLVs+rFy1FZ18X01kxgZ5yfM4CfHr41F7/6sZavFw8ejVDYfGo\ny5TnCpBbU4hKpWLukKm99hgnE+oVzFOz7+tyHwmEhBD9ws/Nhz/OeYB/Xf63gR5KO5fZizJsyvqF\n9/Z/2u52Q5Oh26W5gz0CuHXsNcrvHc2oTLQvOu6LtSm7cg/wTco6p21Wq5WC2mLCvUL407yHeHb+\nI9w+YQleLp7cPv46JUCIsq8HcPDX+eDv1nm1nc48MO3X3DD6Sm4YfSV/mPU7fjfl1n6tONV6RijU\nK0j5OcSetgdwcdw8/jjnAaXxXnmbHixCnGkq6itx07nirmtJyQ32DOTOiTf0qIFkT40JsfUFc1T6\nckgqPsaqo2swWczKGsPCk5QqPt84Xg9HsZzBvpFKKf9TbebdFZ2m++WoC2tLWJH4Jc1mI9WNNb3+\nHgp09+eSNgWPwjyD+z0dMCE4rsvbJTVOCNFvztTu5FG+EcyMmsSOE/vIrDzhdJvZYqbO2MBg/ckr\npzksjJnNgYIkCmqLiewg/SrMK5ihvoPYX3CEDenbuDB29klLmv+Q+hPHK7L53aSb0Wv1Habw7c0/\nxD92vofVamXaoAmEetqCgEJDCXXGBkaHjCCmi1QMR7EHgLeueIEjR450+zm3NiwwhmGBMad0396g\n1+qJ8A7FXevKwuiWSnjDAlrGFOc/lHFhCSyMnsWq5DWU11cqJytCnInKGioJsPch609D/Qbh5+pD\nYuFRzK16jn2dspYjxalKU02Ayobqfh/fmczRwya0VXsBxzqunOrTD4Ta9oBrNDV2+74fJn7BgcIk\nYgIGU2dsINq199OXbxp9FbOiJrP8wGeklmX0arns3iKBkBBCYJvFSC/PptHsnCLl6FLdk2atapWa\nx2ffA1Y6TTX4/cy7eHrjK7x34FMOFSdzrDSde6b8Spktaq2wtoT/HfoKi9XCLyf24aF3581Ln3Ma\nU1pZJm/sXK50gv8iaTVVjTXkVhcoJ/jjwkZ2Oe5Ad3+mD5pIrP8QAtz98NL2T7nrvvD/LnoatUrt\nFFyq1Woem3k33x/bwPhw22sRYF/zcKT4GKNChg3IWM93y/d/xvHyLF648IkOA3wBjaYm6prrie2F\nNSU9pVKpmBo5nrXpW9iTfxDHqWxVQw2AkgYMUNlY02uPa7VaKakrI9gjcEBaPpyuZrOR9PJsIrxC\nndbEuOvcCPII6JXUOIO9kI9DUW1pt/oE5tcUKTN8R4ptPanaFrfpDWq1miF+kUR4h5JaltHpGrOB\nJJ84QgiBLXjxd/elprHW6arnrrwDAHjpPXt8vK7yrUM9g3hy9n3o1Tr25B2kpsnAx4e+VgKZ1lYm\nfY/FalFmeOqa60mvyFZuL6wt4eVtyzBZzPx20s0AbMvZw5HiY1Q11pBSmo4KFRNOEgipVCp+P+M3\nXDF8YY+e65lIo9Z0eDIwJXIcf134B2UdUbCHLV3u65S1TgUlRP9JKU0ns/IEmRUnTr7zeWpP3kEA\nAt37p7hKWxfHz0OFitWpLYv9q5tq2wWurT8/MytylIbSp+L9Ayt54Idn+OzId6d8jIGUXJJGk7mZ\n8eGj2t0W5RNOdWMN1acZONa0CoS8XDxpMDWyMuk7LBZLF/dCKekNcKQoBaBP0ytvGXsNF8bM5q5J\nN/XZY5wqCYSEEMLO19UHK1aqm2oBqGqs4b39nwF9U/UuNmAIf1nwKItHXkaYZzB5NYXt+vlkVeby\ny4l9RPtF8cqiPzLeHszktMov/yDxC2qb6/jNxBtZGDOLeybfqtx269j/45EZd/H47HucKqgJm5HB\n8cric0eJcdG/HLOu+wtOLRXzXJdccpy3936Em86VS+PnD8gYwr1CmBg+muPlWeQ3FGO2mKltqmNY\nYLQyiz3YN9L2+dlYy+GiFJ7c8BLPbHoNk9nU48crMpSyLv1nwHaR4mDh0V59Pv3hYFEyQIcXoBzr\nMf/xy3s0GrufztaWIxD6v4RL+cv8Rwj2COCr5LU8seFFvk5ey0eHvqasrqLdfbZm7yLIIwAPvTul\n9bbb+7Jvn6feg7sm3XRKa077Wp8HQq+88go33HAD1113HRs2bKCoqIhbb72VW265hd///vcYjUYA\nvvvuOxYvXsz111/Pl19+2dfDEkKIdvzsXwRV9jz3tLKWqmKt8+B7U7R/FEtGXc4Vwy+0PWarSmYm\ni5kVB22fhzeNuRpXnSu/Hr8EgBP2/PKCmiJb+dzAGBbG2NbDzI+ewbUJF+OmdWVm1CSmDZrQYcqd\nsM0c3Tj6KgAqGioHeDTnpzqjLRA6YA+EMityeHnbMqV/1/ms3tjAm7v/i9Vq4Q8z7+5Rn6Dedtmw\nCwDYW51EbZMBK1Z8XLz5/Yy7eOnCJxkZHA/Ae/s/5fmtbwK2NZZdVZvrTLa9geuswVPQqNT8Z+/H\nTo2QzwYppcfRqrXEd7Be0vFaJZce58kNL3VaOCGvppA/bniZl7b+u8PKlo5AyNvFk0ifMF5e9Eem\nRIwjpyqPT498y3fH1nPv6qU8uvavPLf5dQ4WJnPf90tpNhu5NG4+o4NbSm23XiN6PunTQGj37t2k\np6fz2Wef8e677/LCCy/wxhtvcMstt/DRRx8RFRXFqlWraGhoYNmyZXz44YesWLGCDz/8kJqa3ssz\nFUKI7vCzX62qsAdCrdM6FnZSLru3OKrLpdkf80RVPjd/8QBHS9KYEDaKMaG2yk3BnoG4aPQklaRS\nUFPEzlxb6t6imDlOx7t+1JW8e/UrZ2RO9pnGsU6orF4Cof5mtphpNDUBkFWVS0V9FW/u+oD9BUdY\nlfzjAI+uZxpNTaSXZ5Nenk1GRQ73fr+Utce3nNYxPzr4FeX1lVyTcDGjTqE/TG9KCIpjqO8gUg1Z\n/Pa7JwHwcfVCr9ER7T9YKVW/r+Aw/m6+XDfyMgASezib02w2Kn3M5gyeyrUJl1DeUMkbu97H0FTX\ni8+o79Q3N5BdlUdcwBD0HVRyGxM6grevfJFL4+ZTUFvMHze+THJJmtM+zaZm3tq9gvSKbA4UJrHW\nPkPWmuNigberLXXbQ+/OY7PuZkrkOKf9KhqqSCpJ5YWtb9JkbkaFivnRM3h4+p38+/K/8e5VLzM+\nrH0K3/mgT4slTJ48mTFjxgDg7e1NfX09e/fu5bnnngNg/vz5vP/++wwZMoQxY8bg4WHL2Z4wYQIH\nDhxg3rx5fTk8IYRw4mdPHatqrMZqtXKwKBmVSsUH1/wdN51rnz52pHcYbjpXduclMjVyPCWGMqxY\nCXDz48Fpdyj7qVVqLh+2kFXJa3hiw0s0mZpQq9TK4n8HlUrV4RewaM9Riaui3lZCO6syFw+dG8Gt\nym2LvlHfZqb1m5R1SqWts60U8+s7lyuzWg7vH1jJguiZp/R/8XBRChsztxPlE8G1Iy7prWGeMpVK\nxY1jruYF+2wPOK8rmTpoPMfK0vF19eGmMVehUWn44ugP3U45LTaU8v2xjew4sVeZgY/yDWdUcDx7\n8g+RWJjE0o2v8MZlf+ndJ9YHUsszsFqtjAiK7XQffzdfbp+whBHBcbz+y3v8Y+dyXlz4BAerj1Ge\nXsfq1I0UGUrxd/Ol0dTE1ylruSB6plNPvgp72f+2hQ7GhSYo68o+XvxPdBodr2x/m332lg3/uOQZ\npQx7UD819T5T9emMkFqtxs3N9kJ/+eWXzJs3j4aGBnQ62wdCQEAAJSUllJeX4+/f0mPC39+f0tLS\nvhyaEEK048iRrmyoZndeIjlVeUwfNLHPgyCwfV7eNfFGTGYTL29bxn8TPwfgD7N+h7vezWnf60df\nwUPT78BRCiAhKM6piajoGUfeenlDJSaLmSfWv8D9P/xpgEd1fnCsD0oIsvX6WJu+BSu2giElhvIB\nG1dP1RsbOFR4lCCPACZHjHW67VTXt6xK/hEVKu6d8iu0mjOjyO+4sASWhF+s/O6YzQNbAZgnZt/L\n3ZNvxsvFE3e9m20NSl3Xf0er1cqqo2t4fN0LrM/Yit5eYtnH1Rs/Vx+0Gi1Pzr4XsLUCaBs8n4lS\nSm3pgCOCuu5hAzA1cjzzo2dS3VjDs5v/zrrS7by3/1OKDKWMC03gydn3cvWIi6hrruf71A1O9z1c\nnIJGpSbGz7maYOsUSkdvoYRWY2ldzvt81y//szZu3MiqVatYvnw5ixYtUrZ3VB2pq+1CCNGXHDNC\n5fWVbD+xF41KzQ2jrui3x581eAqR3uG8uuNt5eShs942M6MmMywwhtSyDBKC4vttjOcirUaLj6s3\nxYYy8qoLle0Wi6VXO62L9hxX/qP9okguPe50W35tEfvyDzMpYsxADK1HDhelYLZamDtkGgujZzk1\nS04ty2iXqnQyJrOJ9IpsonwjiPbv/f4up2OoeyS/nXQz7+z7mCltgr62gt0DKKgt7rKkc251ASuT\nvgdsayGvGLaQ8vpKTBaTcp8Adz8ujpvH2uNbKKotIXoAyoj3RErJcdQqNfEB0d3af2L4aDZmbKOk\nrhwXtZ67p9yCr6sXI4OHoVKpCPMK4ce0zfyQuolL4xbg7epFVUM1GRU5jAyOb3exzFGMYVbUZGVb\nrP8Q5Wf5XGvR54HQtm3beOedd1i+fDmenp54eHjQ3NyMXq+nuLiYkJAQgoODnWaAiouLGT9+/EmP\nvX///r4c+nlJXtO+Ja9v3+mN17bBbKvesynrFwDGeQ8nPy2XfHJP+9g9MdYtno11OwFIPtz11WRX\n1GSW9nwxcnedL+/ZMG0gxwyZvLzl38q2n3ZvwV/fcaW9LWV7yKrP59ZBV6JVaU75cc+X17cz2fW2\nReJVZVVcGDSDDaW/KLdpUPPvnR9wZ9T/4abp+axsf762O8r2AKCrgqyUDEZ6xWKxWjlmyGRb5h4O\n5iRRb2nk1sgrcVF33VSyydzM61krAPCzeJ6R7xG/Kjcejv4VtTmV7M/pfHw6o5omczPb9uzAQ+vW\n4T5Ha22fX9P9xjKoPpCDiQeV2wppKSJgqrLNPu04vJtKr7LeeBp9wmgxcbw8mxCXgJN+fre+j1al\nwWQ1E6z3x61MTRN1HLC3bwBIcI9hR8UB1u75iRiPQRyusa0pCjb7dfgeeST6djQqtXKb2WpmkGso\ncZ5Dzsj31EDp00DIYDDw6quv8sEHH+DlZctfnD59OuvWreOKK65g3bp1zJ49mzFjxvD0009jMBhQ\nqVQkJiaydOnSkx5/4sSJfTn8887+/fvlNe1D8vr2nd56ba1WK2/lfIbRYkKv0fG7ebcNSLnPSEMU\nG3+wBUID+Z45n96zI5oT+POm15y6vXtF+jJx0IR2+x4qSmZ3+mEA/IYEEh/Yvau+bZ1Pr29njLkq\nKIC4wTFcEj8fv6P+fJ60GoAlo6/g0yPfctB6nPsn3t6j4/bla9tkamZfwSGCPQKJsxc52bx9H1TB\n/Elz8HX1ZiK2x35i3QtkVeVSZbQVgAoYGsywDqqItZZckgb2Oi0zhk9h4tAz6z3Sk9f2aGIWaWk5\nhMdGEhswpMN9Ug6dgGK4aNwCEoI7n93WFLqxcetOmrzM6CM9GBEYe8akDLaWVJyKJdPCxMFjmDi+\n+3+7LQ37OFCYRLCLf4evb21WMzv2HCAwMoiJ0RPZvGMfAFdNvYRwr5BuPcaUSVO6PZ5zSVeBX5++\ng9asWUNVVRUPP/ywMi368ssvs3TpUlauXEl4eDjXXHMNGo2GRx99lDvuuAO1Ws0DDzyAp2fPmhcK\nIcTpUqlUWKy2RnRjQxMGrOdBiGcQ90+9nUjv0AF5/PORu96Np+bcz9KfXqHcXj3ux+ObmRQxFq26\nZcan3tjAf/Z+rPyeVp55yoGQaFkj5FgAPtweJEwKH8OVwy9kd14iW7N3c82Ii4k4Q/4/fJ+6kc/t\nqVxvXfECAe5+FBpKcNO54tNm0fqdE2/gWFkGtU0Gvj22nnJ7QY6ulNjTYoM8Apgx6MwKgnrKUXCk\nyFDSaSCUa7/44Ejn6kyYl62h9Pr0raxP34qX3oMLY2dz5bBFbMjYxiVx89Bru55t6w8p9hTPEcEn\nXx/U2uSIsRwoTCLUJajD2x2p25UN1ZjMJg4XpRDqGdTtIEh0rE8DoSVLlrBkyZJ2299///122xYt\nWuS0fkgIIQaC2R4IOa70DpQ5Q6YO6OOfj/zdfXlh4RMUG8r4PnUDe/MPcago2akH06eHv6WsvoI5\ng6eyNWc3aWVZMGwAB32Wc/QQcgRCo0KG89yCxxjsG4FGreHiuHks27OC/QVH2gVCOVV5fJOyjtvH\nX+dUvayv7Wu1/mdd+s/cMPpKimpLiPKJaLcOJj4wmvjAaKWCV3d6VTkCobsn3XxGnNifjkjvMABO\ntGkU7WCxWDhenk2guz+eLl0XfAl090etUmOxWtCqtahUKr5KXsvq1J9oNhsxWkwsHnlprz+Hnkoq\nSUWFSgnqu2t+9AwCPfxpzuu4RLijPHl6RTZ3ffs4jaYmJkh/uNMmq6WEEKIDMhtzfvJz82F4UAxX\nDLM1uP3lxD4KaouVSlW7cg/g5+bD3ZNvxlXrQqGhZCCHe9YrrLWtD3ac5AEMD4pRKjWOCxuJCpVS\nlrrJ1My7+z7h6Y2v8t2xDew4sU/pN1TTWMsf1j3PLyd6b/1DfXMDRrMRo9nW/L2yoZrMyhMMC4jG\n28WTDRnbyK8pwmgxdVrYBGyL/QFWHFzFlqydyvHaslqtSnPNc6F8e5S9SWfbhqEWi4XC2hL25B/E\n0FzHuLCRHd3diUatIcA+Sx/hFcLvJt8K2PoOAWdEA15DUx3HyjKICxiKl0vPMpvUKjVjQxNQqzo+\nNfe1zwjtLziiFBmRRtmn78xLrhRCiAH0xzn3szP3AOPO0+ZywiY+YCieeg+25exhW84e3HSuPDTt\nDqqbapkUPgadRoeXi+dZ0+DxTHW8PAu9RqecMLfl6+pNlG8Ex8uzyK0u4PWdy8m1zy6klWcCsDFj\nO1cNX8TW7N3kVOXx+s73eCL2N6c9tryaQp5Y/yJGsxE3rSt3T76FRpOtoMrUQROoN9bz5dE1/Hv3\nhwBdVncLaJVmu2zPCv536Cv+PO9hp+ddXl/J6zuXk1qWAUCgvb/V2czbxRNfV+92M0Lv7v+UnzK3\nK79P6ObnrZu9942vmw9xbVLtDM0t/xctFgtp5ZkMC4zptFpdX/jx+GasVisTwnv/+8NL74FGrcFs\nMQO2ctjdKc8tuiYzQkII0cq4sJHcM+VWp3Uh4vyjVqu5Z8qtXBA9i7lDptFoauLVHf8BbE0ewXZi\nUts88Fehz1b1xgZyqwuI8R/S5f+3+IChGC0m/rjxFXKrC5gU3lJOW6fWYrKY+DplLan2wAh6pw3H\nd8c2KDM3DaZGXt/5Hm/v/QiwXYlfFDsXrVpLZuUJgC7TlLxdndcO1TYZeHHrv5X1aCmlx3l83fNK\nEOTon3MuiPaLoqy+gv8e+ByT2cTPWbvYlLkDF60LF0TP4tqEixnfjRmh1tQqNT6u3gS3agZaWldO\nXk0hGzO2813qBp7Z9Bpr0jb19tPpVEVDFV8eXUOAux8Lomf2+vFVKpXS6y7Q3Z9nFzwi31O94Nz4\nXyaEEEL0sskRY5XmmHEBQ3hv/2cARPlEAvD/27vzsKjL9fHj71nYZoAZGHZZZRHcWTTQlNQyLcs8\n2WKLp6zOqVNZnTxl5vlmnV91Kuu0nhYtW2zTUvPY6hZq7gKCIoigIorDKrJvM78/gBFSE5VhQO7X\ndXldMjPM3J/PBTef+/M8z/24OGipb2qgvrG+x6/lsIUDJYcwYybiHOvxIgx9WZ2zkbrGOgJcfZl1\n+V95aNU/Ka4u5brIK/ktbxdrc39rN6WopOHcTQn+iMlkYlt+iuXru6NvZk3uJo6UHyNI18cyDe6K\n4HjW5G4iUNfnDxetKxVK3Bx1lNWWA81FU/KxdF7c8A4vXvUkn6Z+S1VDDffE3Eo/j75dOophbdOj\np2KsKubH7PWsztlIo6kRgFC3QP467PYLes/WszN71IPUNtbxn80LOFh2hNm/vGiZKgew4dA2ru03\n7mIPoUP2F+dixszVYYmWgqWz+bv6UlJdxkBvWZjYWaQQEkIIIc5hfFgi5bUV/HJgA1GeYQA42zcv\n7q6or8IghdB5yy5p7hF9rsYkrecbmtecKBVK/j3+KYqrSgjS++Pj7MV/t39KE024OekoqylnXfE2\nrjKPPet6i7P5Zu/3pB3fxzURY6lpqCUxOJ6bBk7CS2vgqtBRHC4/inebtTt3x9zM2L4j8XE5c6ev\ntv5zzTNgbh4JM2jceGvbx2w6vJ10YyaHyo4Q6hbI1eGJ5xVvT+Dn4s2LV83mra2L2m006+187nP2\ne/fG3soLG97mlkHXA+Cva27G4Kk1UFRdisbOiQZTo2VEsLyuguLqUpzUjpaGHNayv7h5RLKjm6he\niMdH/oX88oKzTiUV50+mxgkhhBAdcNPASXww+SVLG1sX++bF0BWyTuiC7G8phM7Vfrxt0wDfllEX\nVwdn+roHoVKqGBU0HF/n5hGaR+JnMNSnPwer8/kp+9fzjmlz3i4yi3N4bfMCAPp59LVMv1Kr1IS6\nB1kKYAA7lR1hhuB2j52Nxs4Jjb0THlp3FAoF8f7NG8f/lP0rTWYT4ZdwG3ZHtQM39m/f0c3N6fxH\nTSI9w/j0xtcJcQto9/iYkBHE+g3i5fFzGOrT3/J4ac0J/va/p7n3uydOa9hwNmazmdzSw+c9vXJv\n0X6UCuUfrhW7WI5qB8IMwdir7Kz2Gb2NFEJCCCFEB7WdstTa7rdS1gldkNzSw3hqDR2aRtS6mD6g\nZQSgLZVSxcPxd3PLwOuI9Azjb8On46R05PPdyzt88QvNF8BFVSW4OjjjpG7uWhfpEXaO77pwrSNh\nqcczAOuOJHQHbYuX6yOvYnLk1Z323okh8Tw56m94OXsw1OfUeqPRQZcR5zeYJlMTq7LWnvX7TWYT\nGYX7WZuzieX7fmL26n+z/uCWDn/+/uJcDpYdIdp3AI5qh4s6FtG1ZGqcEEIIcQGcW6baVLZsCio6\nrr6xnvK6CgbpIzv0+kcT7iH1eAaXtYyi/F6YIdiyYafeScc13qP4tmA1b25dxL/HP9WhReUn6yqo\na6pniE9//hw9leOVRZapV9bg5qTD29kTY2VzC/FBl/i6D4VCwfyr59JoaqSve5DVPifWbxCLUpYw\nMjCOh+LvwmQ28cj3z7AlP5n7h99hmS656fB2ymsr6OPqw8JdX1r2b2qVZtzH2L4jzvl5JpOJT1O/\nBWBSvys7/4CEVUkhJIQQQlyA1qlx5bUVNJmaUEkHpw4rrWluZmDoYItoRztH4gNiOvz+YdogLg8c\nxqa8HeSUHqLfOTa3NJvNGCuLgeb1Jq3/rC0x+DKW7FkFcN77zvREXbG2xcvZg3evewGXlumKSoWS\nCI++bDy8ncLKYnxcvDCbzby5dZHle1RKFSMD49h8ZJdlSpympVX3uXy/fx37S3IZERDLAK+Izj8g\nYVVSCAkhhBAXoPXC9cPkr/gifQUjAuIYHzb6tPUL4nQlLYWQu0Z/jldeuBi/gWzK28H+4oPnLIT+\nb+18S/ttT6271WL6vYnhY8gqzuWq0FFd9pm9QesGtq0CdS0bu5Yfw8fFC2NVcbvnrwodxYyYW7BT\n2vHroeYpcSdqyv/wM0xmE5sO7+CL9BW4OjgzI/bWTjwC0VVkjZAQQghxASI9Q/Fp7XxlhrW5m5iz\n5iWqW3Z97ynMZjOb83Z16eawrfvndHRE6EK0rrn5bPe3lFa3b6dd21jH5rydNDQ1cKzC2G4PIp+W\nxgtdQWuv4enEhxnuP7TLPrM3at376/CJfMxmM8nH0gFQKZSMDr6MKVETALgvbho3RDWvXWr9GW1V\nWFlMSsEey9cbD23n7W0f02Rq4t7Yabj2ghG9S5GMCAkhhBAXwFHtwLNjH2dvYRbx/jG8t2MxGw5v\no7CymOAeNCqUUrCH17csJNw9mOeverJLPtNSCGmsVwh5ag0YNG6UVJdx//+e4s4hNzKp3zgUCgUf\npyxlXe5vBOr64NCmA1eUZxiDvTu2bkn0HAG65kLoh+z1bM7bxdGK4ygUCv49/imC9P6W19mp7Lht\n8A1sy0+hpKZ9IbQ4bTlbjyTzytVPE6T3Z9vRVACmD516XtM2RfciI0JCCCHEBXJz0nF50HDUKrXl\ngur3i667u9a1Mdmlh7rk85pMTexvGYExWHFqnEKh4F/jZllaDX+0z0Y+AAAgAElEQVS2+1s2Hd5B\nZV0V63J/AyCv/CjZpYdwsnPk/437B/+84lHUKrlHfKlxd9KjVqqpqq/maMVxRgTG8cwVj7Yrgtoy\nOLlxsq6S+sZ6y2OFLb8n6w9uob6xnnRjJr4uXkzqog1bhXXIb7sQQgjRCbycmxfXd+dC6ERNOXYq\nu3abSxZXl1r+X99Yj72VNofNLy+grLacb/Z+z76iA/Rx9cGvZV8ga/HQuDNn9MO8tXURJTVlfJTy\nNdMamzfjvHngdVwVejkATmpHqx23sD2lQomnxp2CykLcnfQ8mnDPH74+SO/PnsIs9hbtJ7qldXvr\nKObGw9vxdfairrGOeH8ZCerpZERICCGE6ASemuZCqKgbF0JPr3mZGStmtVszU1BRaPm/tUaFjp48\nzt9/eo5//foG+4oOEO8fw/PjnsCuCzaG7O8VzrvXv8CMmFuoqq9m4a6vAIj0CEXn6IrO0VWKoF5A\n5+gCNI8OnUt8QHOb9i1HkgFoaGqgvK4CgIq6Sj5M/gqVQsnVYYlWilZ0FSmEhBBCiE7gpW0dESo+\nxyutz2w288uBJLa2XMgBVNVXU1Rditls5vO05ZbH2xZCKQV7rRLPwbIjQPMeL48m3MNjI+5FY9+x\n9sSdZXzY6HbtjcOsuJeN6H5MLW2xO7KnVLghBHcnPTuO7qaxqZGylg5yIfpTa/8Gekdateuh6BpS\nCAkhhBCdQGuvQWvn1K6wsJWfDySxcNdXvLZ5gaXTVduRqo2Ht/P+js+pb2rgeFURQXp/7FV2lm5a\nZ1LTUMsrm94jsyjnvOMpqDACMCH8CkYExqFQKM77PS6WUqFkZvwMvLUeDPCKwNHOsctjELbT+jPn\noHY452uVCiWX+UdTVV9NemEmxS3T4ob6DrC8RvYMujRIISSEEEJ0AoVCQYDOj4LKwnaLrLtafVMD\n3+z93vL16gMbgVNrl8INIUBzu+9FyUtoMjUR5h7MQO9I8k8WWBaF/97qnI3sOLqbFza8dd4xtRaH\nvl3YmvpM3Jx0vDbx/5ibONOmcYiud1/sNIJ0fbg75uYOvT6hpRPcixveYd7614DmaXVPXH4/IfoA\nrgiOt1qsoutIISSEEEJ0kkB9H8xmMyuz1lh2qO9qmw7v4GRdJTdEXU0fFx92Hktj65Fkjlc2FyPX\n9buSDya/hIu9lrW5m5rj1vkR07IoPLnNXilttU4Pqm9qOO+YCioLUSvVeGi6brPSs7FT2aHqwPQo\ncWkJ1PfhlQlzO9ygI8Kj72mPDfCKIK7PEF66eg56J11nhyhsQAohIYQQopO07mC/ZM//OFiW1+Wf\nbzab+T5rDSqFkglhVzDMfwgAr21ewOLdzeuCvLQG9I6uzIi95VTc+j7E+DUXQrvaTI9LO76P9bmb\ngVNds7R257e2x2QyceykER9nT5RKuewQPYNSoWRs35GWr8MNIfjrfG0YkbAGaZ8thBBCdJIozzDL\n/49VGOnbZkH+z9lJZBRlMzIwjhi/QVb5/HRjJkdOFnB54DDcNXr+1H8ifd0C2Vd0gE15OzCbzfi2\n3BEfERDHjvzdpB7PIEQfgMbeiSC9P3sL91PbUIujnSMLdn6BsaoYnaMreeVHLyim/JMF1DTWEuYe\n3IlHKoT13R19M2NDRqBWqvDSetg6HGEFUggJIYQQnSRA58cjCTN4Y8tHp+0ntGr/WoyVRWw5sgtv\nrQd3+Fx3UZ9V39RAk6kJpzaL/n/K/hWAa1s2eXRUOxAfEEN8QAx3DvkTTWYTDi2tohUKBTMTZlDX\nWG95jxjfgRw+kc/a3N/4Kn0ldU3Na53e3fEZ5bUnAaior+Kp1f9mzuiHcHFwPmec+0sOAqfWJgnR\nUzio7c84RU5cOmSMWgghhOhErbvVF1WVtnv8RO1JvJ096e8ZjrGqmOK6sov6nNc2L+CJn5+n0dRk\neezQiXwMTm6EnqE1tFqlthRBrZQKZbtCKrZlpOqT1G8sRZC7k95SBLXKKT3My5ve+8OmEIVVJSzc\n+SWLdy8DoJ9cUAohuhkphIQQQohO1Lqxatv9hGobaqlrrMPPxZsRgXEAFNWXnvH7O+pQ2RGMVcWW\nltcmk4mymhMYNG4X/J5nmr7212G3E6IPQIGC4X2GAqB3dCWrOIe3tn181qYQr/72Pr/kbMBBZc8d\nQ/5EoL7PBcclhBDWIFPjhBBCiE7koLZH5+jabmrciZYRFb2jK0EtBcHFFEImk8nynr8e3EJe+THM\nZhNNZtNFFUJKpZLxoaNZd3Azs0b+FbVSxWCfKELdgjhWYSRY709u2RjCDSE8u/51tuWnUFBhxM/V\np937FFeVcrDsCIO8+zFn9MPSpU0I0S1JISSEEEJ0skCdL+nGLEqqyzBo3NoVQgE6PwAK6y68EDpZ\nX4nJbAKa213vPJZmec7gdHG73d8VczM3D7oO1zbrf1wdXXB1dAGgf8tGkpf5R7O/JJfD5UfRO+nQ\ntHSTq22sY1XWGgCG94mWIkgI0W3J1DghhBCik13mHw3A1iPJwKkRIZ2jCxo7Jzw17hTXX/gaoRMt\ne/o42TlaCqJW7hcxIgSgVqraFUFn0zqy9d72xdy17O/knTiK2WzmyV9e4Ifs9egcXYkPiL6oWIQQ\nwpqkEBJCCCE62XD/aBQKxWmFkN6xeRPGQH0fqppqTmtC0FGlLYXQuL6Xo1a2n9xh0FzciFBHBbaM\nbNU01gKw+chODpYdoaCieePWZ654FJ2ja5fEIoQQF0IKISGEEKKT6R1d6e8ZTlZJLh/t+prv96+z\nPA6nNl7NKz/W7vsOlR3h/R2fU9tY94fvf6K2vOV9/BgZGIeD2oHglm51rVPvrE3n6IqzvdbydXbJ\nQVbs+xmARxPulc0nhRDdnqwREkIIIawg3j+GvYX7+enAr5bH9E7NhVDrtLK9hfsZ5B0JwOtbPmRz\n3k4ADBo3ympOkHfiKM+MeQy1qv2f67KWESG9o46/xN3G7UOm4OrgTGnNCTw07tY+NKB5H6InLn+A\nV397n/K6CtKNWQB4ag0M9e3fJTEIIcTFkEJICCGEsILL/IfyYfJX7R5rHREa6NUPjcqR5ft+YlTQ\ncJzsHC1FEMCSPf+z/H/9wS0khsRjr7KzPNbakc5D64adyg59y3NdVQS1ivQM5YPJL/Fj9nrSjJmM\nDIhjuP/Q0/YrEkKI7kimxgkhhBBWoHfStZs6plAocFI3b17q6ujCGMNlmM1mtuWnkF1y8LTvb50+\nt2DXFzyz7lVMplNNEQoqjCgUCny0nlY+inNTKBRcEzGW2aP+xqjg4VIECSF6DBkREkIIIazkpfFP\nMXfNK5TVloO5uWhoFaoNQKFQ8FP2r2jtNJbH4/1juCZiDKDg/9bNByCn9DCZxQeob2oko2g/xyqM\neGk9TpsyJ4QQouMkgwohhBBW4qk1cHnQMP6XtQYz5nbPOakcGdZnCNvzUzlRexJ3Jz1PJz6Mn4s3\nKqWK6vqadq/PKc1jZeYvlNdVABDqHtRlxyGEEJciKYSEEEIIK7L7g1Gbx0f8xdJ+2kFl327zUY29\nE1eHJVJSXcbOY2ksy/iBqoZTxZGPs5f1ghZCiF5A1ggJIYQQVqU4+zMKBRo7JzR2Tu2KoFb3xN7K\nA8PvBKCqoQaXNhudXhGS0PmhCiFELyIjQkIIIYQVDfKOZFnGj1wdlnhB3+/i4IyzvZbK+ipu7D+R\nQJ0fjmpHQtwCOjlSIYToXaQQEkIIIaxogFcEr18zDy+txwW/xyDvSPJPFnBV6Cjs2rTRFkIIceGk\nEBJCCCGszM/F+6K+/9GEezCbzSiVMqNdCCE6ixRCQgghRDenUCjatd4WQghx8eTWkhBCCCGEEKLX\nkUJICCGEEEII0etIISSEEEIIIYTodaQQEkIIIYQQQvQ6UggJIYQQQggheh0phIQQQgghhBC9jhRC\nQgghhBBCiF5HCiEhhBBCCCFEryOFkBBCCCGEEKLXkUJICCGEEEII0etIISSEEEIIIYTodaQQEkII\nIYQQQvQ6UggJIYQQQggheh0phIQQQgghhBC9jhRCQgghhBBCiF5HCiEhhBBCCCFEryOFkBBCCCGE\nEKLXkUJICCGEEEII0etYvRDKzMzkqquu4vPPPwfgqaee4rrrrmP69OlMnz6dpKQkAFauXMnUqVO5\n5ZZb+Oabb6wdlhBCCCGEEKIXU1vzzWtqanjppZcYOXJku8dnzZpFYmJiu9f997//5dtvv0WtVjN1\n6lTGjx+Pq6urNcMTQgghhBBC9FJWHRFycHDg/fffx8PD4w9ft3v3bgYPHoxWq8XBwYGYmBiSk5Ot\nGZoQQgghhBCiF7NqIaRUKrG3tz/t8cWLF/PnP/+Zxx9/nLKyMoqLi3F3d7c87+7uTlFRkTVDE0II\nIYQQQvRiVp0adyaTJ09Gr9cTGRnJBx98wNtvv010dHS715jN5q4OSwghhBBCCNGLdHkhFB8fb/n/\nuHHjmDdvHhMmTGD9+vWWx41G42nF0Zns2rXLKjH2ZnJOrUvOr/XIubUOOa/WJefXeuTcWo+cW+uS\n89t1urwQmjlzJg8++CD9+vVj+/btREREMHjwYObOnUtlZSUKhYKUlBSefvrpP3yf2NjYLopYCCGE\nEEIIcalRmK04D2337t3MnTuX0tJSVCoVOp2OmTNn8u6776LVatFqtbzwwgu4u7vzyy+/sHDhQpRK\nJXfeeSfXXnuttcISQgghhBBC9HJWLYSEEEIIIYQQojuy+oaqQgghhBBCCNHdSCEkhBBCCCGE6HWk\nEBJCCCGEEEL0OlII9VImk8nWIQhx3uTn1jpOnDhh6xCEEEKILieFUC9SXFzMlVdeSWlpKUqlUjau\ntYL09HRbh3DJ+vrrr1m0aBGVlZW2DuWSkZSUxP33309GRoatQ7lkbdu2jdLSUluHcclZtmwZ27dv\np7a21tahXFLWrl3LrFmzSE1NpaamxtbhXJLy8vJsHYJoQwqhXqS0tJT8/Hw++ugjW4dySdq8eTMP\nP/wwq1atAmT0orPs3LmTe++9l+TkZMaOHYuzs7OtQ+rxioqKePzxx1m8eDEzZsxgxIgRtg7pkpOT\nk8PTTz/N22+/TVVVla3DuSSYzWZKS0uZOXMmv/zyC0lJSezZs8fWYV0yli1bxieffEJ0dDQFBQVS\nZHayI0eO8OCDD/LPf/6Tzz//nMbGRluHJLDBhqqi65lMJpRKJU5OTtx666389NNPjB07lpiYGJqa\nmlCpVLYOsUczm80oFAo0Gg16vZ7ly5czevRoXF1dLc+JC3Py5EkWLFhAREQETzzxBADV1dVoNBob\nR9azHThwgJKSEmbPnk1kZCR1dXVUV1fj5uZm69AuCb/++iv/+Mc/eO6555g4caKtw7lkKBQKmpqa\nAHjvvfdsHM2lp6mpibFjx3L77bfT0NAgs0Y62YYNGwgKCuKxxx4jJycHtVouwbsD1bx58+bZOgjR\n+ZYvX05RURFBQUGWC/GNGzfi5eVFYmIiCxcuZMqUKSiVMih4sVrPb3JyMlFRUej1erZu3Wq5yy6F\n0PlpbGwkOTkZNzc3nJ2dqampobq6Gr1ezzfffMM333xDVVUVer0eFxcXW4fbYyxfvpzCwkKCg4MJ\nCAggOzubkpIS0tLSePPNN0lPTyczM5Phw4fbOtQey2QyoVAo8PDwYPny5Tz66KNoNBp++OEHCgsL\n8fb2louf89SaDwwGA2q1mqysLA4fPsygQYP48MMPWbJkCbW1tZZ8ITqu7XUCNE+Vtbe3p7S0lKef\nfprdu3dz+PBhYmJibBxpz2cymVi6dClXX301gYGB7N69G6PRiK+vr1yH2ZgUQpegsrIyZs+ejaOj\nI97e3ri7uwPQ0NDA/v37ufnmm1mwYAEffvghYWFhBAYG2jjinqWkpIRp06ZhMBgIDQ21PJ6Xl8eh\nQ4eYNm0aX3zxBSqVCkdHR/R6vQ2j7XnmzZvHzz//jI+PD0FBQYSFhfH999+zevVq3N3dGTduHMnJ\nySQlJXHllVfaOtweoW1O8PDwwGAw4O7uzrJly6iqquLJJ58kIiKC9evXU1RUxODBg20dco/SmhM8\nPDwICgrC0dERs9nMSy+9xIEDB8jMzGTnzp3k5ubi6elpycni3H6fD/R6PYsWLaKgoAAXFxdGjhzJ\nrl272L59O1dccYWtw+0x2uYET09PDAYDAO+++y46nY6ZM2cSHBxMUlISZWVlDBgwwMYR9yxtrxNC\nQkJQKpUcPHiQzz//nOPHj7Nz5062bNlCfn4+3t7ecp1gQ1KGXiJOnjxpWdi4a9cugoKCsLOzIzk5\n2TKVICsri8LCQl5++WXL1KKRI0faLOae6tixYzQ0NLBly5Z2i6BPnjxJbGwsGo2G0tJSXnvtNRkN\n6qD6+noAKioqyMvLY8iQIWRlZXH8+HEcHByYOnUqV155JQ888ACXX345d999N9XV1bLo9A+cLSfs\n3r2bxsZGoqKimDZtGnfddRcBAQEMHDiQMWPGcOLECZkSc57a5oTy8nIA7rrrLsvF+/z585kzZw5q\ntZq9e/faONru70z5IDMzk+PHj+Pk5MQNN9xAUlISEyZMYPTo0dx2222cPHmSI0eO2Djy7u1sOSE1\nNZWGhgaGDRtG//79ycnJISAggJiYGEaOHElpaankhPPUNieUlZUBcOedd6JQKCgrK2P+/PnMmjWL\nuro69u3bZ+NoezcZEerhmpqaePnll1myZAm7du1iwIABREZGcsMNN1BSUsL+/fvRarX4+vrS2NjI\nggULSEhI4IUXXmDLli3k5OQQHx9v68Po1hoaGti0aRNmsxk3Nzf27dvH6NGj2bp1K2azmaioKBQK\nBfn5+TzzzDOsWbOG8ePH09DQQGBgoGXagTid0WjkrbfeYtu2bfj6+uLj48OgQYPo06cPaWlpmM1m\nwsPD8fPzY9CgQZjNZlQqFbm5uWRlZXHjjTfa+hC6nfPJCcHBwbi7u1NdXY29vT2LFi0iIiJC7v6e\nwx/lBICIiAhUKhXDhw8nNjYWtVqNTqdjzZo1eHt7069fP1k/eAYdzQcDBgxg3bp16HQ6+vXrR0FB\nAXv27GHKlClyTs+gIzlBo9Hg5+dHZGQkq1atwt/fH51Ox5dffkloaKjkhHM4V06IioqyTItdsWIF\nd955Jx4eHiQlJWEwGCQn2JAUQj3cxo0bycjI4NVXXyUlJcVytzEwMBC9Xs/evXs5ceIEISEhBAUF\nceONNzJs2DAARowYQVxcHA4ODrY8hG4tPT2dBx98kKqqKj777DP8/PyIjY0lPDwcd3d3lixZQmxs\nLK6urlRUVODj48MTTzzBiBEjsLOzIy8vj6FDh9r6MLqlqqoqnnrqKaKiotBqtaxevZqmpiaGDRuG\nj48POTk5HD16FIPBgMFgID8/n3nz5rFjxw6+++47Ro4cyeDBg+WPx+90NCeEhobi4ODA119/zeLF\ni3nnnXeIjIxk2rRp2Nvb2/gouq+O5IS4uDhcXFxwcXEhOTmZzZs3U1hYyLp164iPjyc4OFh+Zn+n\no/lAp9Ph6elJSEgIqamprFixgpUrVxIfHy+59iw6khPKy8sJCgrCx8cHd3d3srKyePvttwkICOD2\n22+XnPAHOnqd4OLiwoABA0hJSSE3N5f8/Hw2bNhAfHw8ISEhkhNsRAqhHmjv3r00NDTg6urKDz/8\ngEKhYNSoUYSFhXH8+HEyMzPp378/BoOB6upqDh8+jMFgoKysDL1ej1qtxmw24+TkhIODg2WBrzjd\n8uXLiYiIYNasWRgMBlatWkVQUBDe3t4EBASwY8cOjhw5Qnx8PD4+PgwdOhQHBweampoIDQ0lOjra\n1ofQ7RQVFaHVaikoKODnn3/mueeeIzo6murqatLS0tDpdHh7e6PRaNizZw9qtZrw8HC0Wi1RUVGY\nTCbuu+8+EhISAGlGAeefE/Ly8nBzc6OqqoqYmBgSEhIYO3Ys1157Lfb29lJc/oGO5IT8/HzLSHtd\nXR2rV68mJSWFmTNnWm5EiWbnmw/s7e0JDw/H2dmZUaNG4e7uzrRp0yz5QDS7kJxgMBg4efIkkZGR\nDB8+nJEjRzJhwgTJCedwvjmh9Wf1t99+4/7775cGNTYmhVAPUllZySuvvMJXX33F4cOHSU1N5cYb\nb+Srr74iMTERT09PzGYzOTk51NfXEx4eTt++fdm4cSMffPABK1euZNSoUXh4eKBQKCxJTZLbKUVF\nRfz3v//l+PHj+Pn5UVlZSUZGBmPGjCE0NJSMjAyOHj1KcHAwWq2Wfv36sXTpUpydnfnkk0/w8vLC\n09MTpVJpOa/yB6TZ/v37mTdvHmvXriU7O5uxY8fy888/4+LiQkhICFqtlvz8fPLz84mJicHDw4PG\nxkZ+/PFH5s+fz/Hjx5k0aRJRUVHSHarFxeSEBQsWsHz5chITEwkMDMTNzQ2z2YzZbJYuRm1cTE5Y\ntGgRQ4YM4U9/+hMTJ07Ey8vLstait+eEi8kHr776KkajkVGjRuHr6yvt9Nu42Jzw3XffWa4TnJ2d\nJSecwcXkhI8//pjAwEBiY2MZM2aM5IRuQH6ye5DMzEyMRiNLly7lkUceISMjg7y8PKKjo1myZAmA\n5U5ZdXU1AD///DPLli3jhhtuYN26dfTr18+Wh9CtZWRk8Je//AWNRkN2djYLFy6kpqYGT09P0tLS\nAJg8eTKZmZmWJgl9+vShqKiIOXPm4OHhQf/+/U97X0luzf7zn/+QmJjISy+9RGlpKR9//DG33HIL\nP/74IwD+/v6EhoZSUVFhWXC+bNky0tPTuf/++3nyySdtGX63dLE5Yf369e1ygkKhkAueNi40JxQW\nFjJnzhy8vLzadZZsHX2XnHBx+eCvf/0rc+bMsWX43VZnXCdERkZa3k9yQnsXmxM8PT3bXSdITrA9\n+enuQXJyctq1B3Vzc8Pb25tRo0aRkpJCWloaGo0Gg8FARkYGAAEBAaxcuZL7778fQHYy/gMpKSnc\neOONPPjgg0ycOJGqqiqioqKor68nLS2NyspK+vbti5ubG99++y0Ab731FuHh4Xz33Xc89NBDNj6C\n7slsNpOXl4eXlxcjR47E1dWVyMhI7O3tiYiIQKlU8vXXXwMwePBgtm3bhkql4siRI8TGxvLDDz9I\nU4SzkJxgXZ2dE+SCUvKBtUlOsC7JCZcemRrXjbXeKWhqakKpVNK3b1/L/h4mk4lly5YxYcIEIiIi\nKC8v54MPPiA4OJhVq1YRGxvLgAED8PT0RKvV0tTUhEKhQKVS2fiouq+jR48SGhqKj48PPj4+vP32\n25Z2l9nZ2Rw7doxBgwZRU1ODSqVi6NChREREcP3117c7x3Jnpz2FQoFWq2XgwIH4+PgAsHr1apyd\nnUlMTESv1/P6668THx+P0Wjk0KFDjBgxAl9fX4YOHSo/s21ITuhakhM6n+SDziU5oWtJTrj0yBbX\n3ZhSqaSystKyHsLJycnyXGZmJnq93vKH5I477sDd3Z21a9cyYsQIbrrppnbvJYmtPZPJhFKpbLd+\nZ+LEiZbnU1NT8fb2xtnZmYSEBHQ6Hc8//zzp6emkpaXx4osvAs1321rfT85xs6ampnbnwmw2o1ar\n8fb2tjxmNBoZM2YMAHFxcUyfPp3PP/+cffv28dhjj+Hp6dnlcfcEkhOsR3KCdUg+sC7JCdYjOaF3\nkEKom5s1axbXXXcd1157bbs7CHv27LF0HlmwYAFarZbbbruNa665xvKa1l9icUrrOTnbeWl9PiMj\ng+joaBQKBfb29oSGhvL++++TmZnJc889h52dXbvvk/N86oJHpVJRU1PDvn37iImJOe3OV35+PnV1\ndcTExFBeXs7q1au59dZb5ee1gyQndC7JCdYh+aDrSE7oXJITeheZGtcN/L5jyJEjR9DpdAAcP36c\nwMBAAgICLK9VKBTs3r2bDRs2sHr1aurq6pg6dSouLi7tXiNDr6drPScbN27k5ZdfJjs7m0GDBrXb\nI0GhUJCUlERERARlZWU8++yzmM1mYmNjCQgIQKVSWaYhiFNaz0daWhp///vfWb16NQ4ODvTp0wdH\nR0fLFI6ysjI2bNiA2WzmjTfewN7enuHDh7frtNfbSU7oOpITrEPyQeeSnNB1JCf0LjIiZGNtpw3U\n1dVx4sQJZs6cyfTp07n22mtpbGzkwIEDjBgxot2dm2PHjmE2m7n99tstPeglsZ1Z2+HtqqoqXn/9\ndRoaGrjjjjv45JNP+PLLL5k0aZJl+kB9fT15eXls2rQJLy8v/vznP5+2R4UMb3PGtqqPPPIIGo2G\nt956i/z8fFatWoWXlxejRo2yvK6kpITs7Gw2bdrEnDlz2nXVEpITuoLkhM4n+cB6JCdYn+SE3ktG\nhGygvr6eY8eOodPpUCqV1NTU8Oabb7JkyRIGDRrEiBEjSE1NZd26dVx//fUsXbqUiRMnolKpLHfR\nwsLCmDZtGn369AFkePtM2ralrK+vR61WU1tby/z58xkyZAhTp04lMDCQ1NRUNBqNZbd3lUpFdnY2\nAwcOZPbs2afdZevtWu9ytZ7b/Px8du/eTVBQEHZ2dnz77bfcfffdBAQEkJGRQVFREX369LHciXR0\ndCQ2Npbp06fj7u5u46PpHiQndA3JCZ1P8oF1SE7oGpIThBRCXay0tJTp06eTlZXFmDFjqKqqYu7c\nuYSHhxMdHc0bb7zBhAkTmDRpEitWrODo0aPU1NQwbty4dnNWW/+ItP0jJNprPSdLlixh/vz5lJeX\no1QqiY+P58svv+Tmm2/Gx8eHbdu2YTQaSUhIoKGhAZVKxbBhwxgyZAggff5bNTU18cYbb3Do0CFC\nQkKwt7fnnXfeYeHChZhMJr7++mseeOABkpKSqKioYOjQoTg7O7Njxw4aGhqIjIxEoVDg5OSEn5+f\nrQ+n25Cc0HUkJ3QeyQfWIzmh60hOEHJroIu5u7vj5+dHbm4ua9euxcnJibi4OOLi4li3bh0lJSV8\n//33AMydO5e+ffuyYcMG6uvrz/gLJkOvp+zcuZP77ruPV/Q1rfsAAAWSSURBVF55hV27dgHw448/\nkpaWZtm079NPP2XAgAGEhobyyiuvABAUFERhYSHAaYsbZUftU5YtW8bmzZtJTU3l8OHDVFZWUlJS\nwnvvvUd0dDRZWVksWbKEuXPn8sUXX1BRUUFUVBSBgYE4OTlZ5riL9iQnWI/kBOuRfGA9khOsR3KC\n+D0ZEbKyY8eOsXPnTgIDA1EqlZhMJiorK9HpdGRkZBAbG0tISAjvvfceN9xwA3feeSfz589Hq9Xi\n6+vLZZddxtGjR1GpVPTt29fWh9Mt1dfX8+qrr/LTTz9x00034efnh0qlwt/fn1WrVlk25UtNTeXB\nBx8kJCQEX19f/vWvf2E0GklPT283faAtubtzyoABA7j55pvZs2cPRqMRf39/goODee+990hPT2f6\n9Ol888033HHHHaSnp7N161bGjRvHwIEDiYiIkHPZQnKC9UlOsD7JB51HcoL1SU4QZyMlrJWtWLGC\nBx54gHfffddy16C0tBS1Wk1cXBxfffUVbm5uJCUlkZCQQEBAADExMfz6669kZGRQW1tr2blYnFlJ\nSQn5+fl8+OGHXH311YwbN46EhAQUCgXh4eH84x//wN/fn48++oioqCh+/PFH+vfvz3333UdhYSHv\nvvuuZSGpOLvW3cbHjRvHgQMHyM/PJygoCHt7e5577jnGjx+P2WzmjjvuICEhgbFjxwKgVktPlrYk\nJ1if5ATrk3zQeSQnWJ/kBHE2kpGs7K677sJoNLJ8+XLUajX33HMPkyZN4vnnnychIYGUlBSMRiOT\nJ0/m9ttvR6VSMWnSJKZMmYKdnR2//PILHh4eGAwGWYR3Fu7u7uTn57NixQo0Gg25ubkUFhZy8uRJ\nnnnmGaKioix/fBcvXkxubi4TJ05k6tSp3HXXXezcuZO4uDgbH0X313oOBw8ezJYtW9i5c6flD/Cu\nXbvIz89nxowZlJWVMXXqVBtH231JTrA+yQnWJ/mg80hOsD7JCeJsZGqcldnZ2WEwGDAajajVajIy\nMlCr1fj7+1uGWNeuXcvs2bMBmDJlCldccYVlTm9gYCCJiYmo1WpJbmehVqvx8PDg008/ZePGjQQH\nB2M2mzlx4gSpqak8+uijLF++nE8++YSKigpmzJiBh4cHzs7OeHt7ExAQgF6vt/Vh9AitC0L9/f1Z\nunQpV111FXq9npUrV1JQUMD06dOJjo62dZjdmuQE65Oc0DUkH3QOyQnWJzlBnI3CLCsWra6uro7P\nPvsMaJ5X/eyzzxIREcGzzz5LZWUlX3zxBffccw8eHh7A6RuniY4pKirC09OT6upqNBoNAJMnT+az\nzz7D1dWVnJwcyx4VctfswhUWFuLl5cXzzz/PwIEDmTx5MpWVlTg7O9s6tB5DckLXkJxgfZIPOofk\nhK4hOUH8nowIdQG1Wo2rqytr1qzhtttuw83NjTVr1qBSqUhMTOTyyy+3/ELKZmcXTqvV0tDQgKOj\nIwAffvghDg4OjBs3DpVKZdmjQvZSuHBGo5EXXnjBcsd3ypQpeHh4tNtxW5yb5ISuITnBuiQfdB7J\nCV1DcoL4PRkR6iJms5kvvviCsrIyHnroITIzM/Hx8bEMtcov3cWrrq7m9ddfp7S0lMLCQiIiIrjv\nvvvw9va2dWiXlNLSUrZv387YsWPlguciSE6wPskJ1if5oPNITrA+yQni96QQ6kJGo5GlS5cyY8aM\n0+7siM5hNBpJSUnBz8+PwYMHA/LHQ3RfkhOsT3KC6EkkJ1if5ATRlhRC4pImyU0I0ZbkBCFEW5IT\nejcphGxA7u4IIdqSnCCEaEtyghBdQwohIYQQQgghRK8jY4FCCCGEEEKIXkcKISGEEEIIIUSvI4WQ\nEEIIIYQQoteRQkgIIYQQQgjR60ghJIQQQgghhOh1pBASQgghhBBC9Dr/HzCx0KuXN67HAAAAAElF\nTkSuQmCC\n",
    102       "text/plain": [
    103        "<matplotlib.figure.Figure at 0x7f56acf973d0>"
    104       ]
    105      },
    106      "metadata": {},
    107      "output_type": "display_data"
    108     }
    109    ],
    110    "source": [
    111     "sm_future = continuous_future('SM', offset=0, roll='calendar', adjustment='mul')\n",
    112     "sm_price = history(sm_future, fields='price', start_date='2014-01-01', end_date='2017-01-01')\n",
    113     "\n",
    114     "bo_future = continuous_future('BO', offset=0, roll='calendar', adjustment='mul')\n",
    115     "bo_price = history(bo_future, fields='price', start_date='2014-01-01', end_date='2017-01-01')\n",
    116     "\n",
    117     "sm_price.plot()\n",
    118     "bo_price.multiply(soy_oil_mult//soy_meal_mult).plot()\n",
    119     "plt.ylabel('Price')\n",
    120     "plt.legend(['Soybean Meal', 'Soybean Oil']);"
    121    ]
    122   },
    123   {
    124    "cell_type": "markdown",
    125    "metadata": {},
    126    "source": [
    127     "However, from looking at the p-value for our test, we conclude that soybean meal and soybean meal and soybean oil are not cointegrated."
    128    ]
    129   },
    130   {
    131    "cell_type": "code",
    132    "execution_count": 4,
    133    "metadata": {
    134     "collapsed": false
    135    },
    136    "outputs": [
    137     {
    138      "name": "stdout",
    139      "output_type": "stream",
    140      "text": [
    141       "p-value:  0.228842012164\n"
    142      ]
    143     }
    144    ],
    145    "source": [
    146     "print 'p-value: ', coint(sm_price, bo_price)[1]"
    147    ]
    148   },
    149   {
    150    "cell_type": "markdown",
    151    "metadata": {},
    152    "source": [
    153     "We still have this compelling economic link, though. Both soybean oil and soybean meal have a root product in soybeans themselves. Let's see if we can suss out any signal by creating a spread between soybean prices and the refined products together, by implementing the [crush spread](https://en.wikipedia.org/wiki/Crush_spread)."
    154    ]
    155   },
    156   {
    157    "cell_type": "code",
    158    "execution_count": 5,
    159    "metadata": {
    160     "collapsed": false
    161    },
    162    "outputs": [
    163     {
    164      "data": {
    165       "image/png": 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/eRG+ecNcTKkpgN3pw5d++BJ2HmwFAPQOsQbpr1sbcKYtuoTwnt/txHf/Zyv2He1AaZEJ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cAnlWI3kESKHcFi0mLY6VUaZLIaJEahEM2A4SsXzsG0miIAUHqD5SNkEwUIBkgJmqCXWA3QBfse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\nm1DFShqIGYgAAAAASUVORK5CYII=\n",
    166       "text/plain": [
    167        "<matplotlib.figure.Figure at 0x7f56ae7ce850>"
    168       ]
    169      },
    170      "metadata": {},
    171      "output_type": "display_data"
    172     }
    173    ],
    174    "source": [
    175     "sm_future = continuous_future('SM', offset=1, roll='calendar', adjustment='mul')\n",
    176     "sm_price = history(sm_future, fields='price', start_date='2014-01-01', end_date='2017-01-01')\n",
    177     "\n",
    178     "bo_future = continuous_future('BO', offset=1, roll='calendar', adjustment='mul')\n",
    179     "bo_price = history(bo_future, fields='price', start_date='2014-01-01', end_date='2017-01-01')\n",
    180     "\n",
    181     "sy_future = continuous_future('SY', offset=0, roll='calendar', adjustment='mul')\n",
    182     "sy_price = history(sy_future, fields='price', start_date='2014-01-01', end_date='2017-01-01')\n",
    183     "\n",
    184     "crush = sy_price - (sm_price + bo_price)\n",
    185     "crush.plot()\n",
    186     "plt.ylabel('Crush Spread');"
    187    ]
    188   },
    189   {
    190    "cell_type": "markdown",
    191    "metadata": {},
    192    "source": [
    193     "In the above plot, we offset the refined products by one month to roughly match the time it takes to crush the soybeans and we set `roll='calendar'` so that all three contracts are rolled at the same time.\n",
    194     "\n",
    195     "To test whether this spread is stationary, we will use the augmented Dickey-Fuller test."
    196    ]
    197   },
    198   {
    199    "cell_type": "code",
    200    "execution_count": 6,
    201    "metadata": {
    202     "collapsed": false
    203    },
    204    "outputs": [
    205     {
    206      "name": "stdout",
    207      "output_type": "stream",
    208      "text": [
    209       "p-value for stationarity:  0.0253387237046\n"
    210      ]
    211     }
    212    ],
    213    "source": [
    214     "print 'p-value for stationarity: ', adfuller(crush)[1]"
    215    ]
    216   },
    217   {
    218    "cell_type": "markdown",
    219    "metadata": {},
    220    "source": [
    221     "The test confirms that the spread is stationary. And it makes sense, economically, that the crush spread may exhibit some mean reversion due to simple supply and demand.\n",
    222     "\n",
    223     "Note that there is usually a little more finesse required to obtain a mean reverting spread. We usually find a linear combination that would make the spread between the assets stationary after discovering cointegration. For more details on this, see the [lecture on cointegration](https://www.quantopian.com/lectures/integration-cointegration-and-stationarity). We skipped these steps to test this known spread off the bat."
    224    ]
    225   },
    226   {
    227    "cell_type": "markdown",
    228    "metadata": {},
    229    "source": [
    230     "Here are a few other examples of economically-linked futures:\n",
    231     "\n",
    232     "* **3:2:1 Crack Spread**: Buy three crude oil, sell two gasoline, Sell one heating oil (this represents the profitability of oil refining)\n",
    233     "* **8:4:3 Cattle Crush** Buy 8 October live-cattle, Sell 4 May feeder cattle, Sell 3 July corn (this represents the profitability of fattening feeder cattle, where the 3 corn contracts are enough to feed the young feeder cattle)\n",
    234     "\n",
    235     "For widely-followed spreads like the crush spread or the crack spread, it would be surprising if the depth of mean reversion became so large that you could easily profit from it. If we consider futures that are linked to stocks, however, the number of potential pairs grows.\n",
    236     "\n",
    237     "## Futures and Stocks\n",
    238     "There are many examples of potential relationships between futures and stocks. We already discussed one of them - the relationship between the crush spread and the price of soybean processors. Here are several more, though this is not meant to be a complete list:\n",
    239     "\n",
    240     "* Crude oil futures and oil stocks\n",
    241     "* Gold futures and gold mining stocks\n",
    242     "* Crude oil futures and airline stocks\n",
    243     "* Currency futures and exporters\n",
    244     "* Interest rate futures and utilities\n",
    245     "* Interest rate futures and Real Estate Investment Trusts (REITs)\n",
    246     "* Corn futures and agricultural processing companies (e.g., ADM)\n",
    247     "\n",
    248     "Consider the relationship between ten-year interest rate futures and the price of EQR, a large REIT. Interest rates heavily influence the value of real estate, so there is a strong economic connection between the value of interest rate futures and the value of REITs."
    249    ]
    250   },
    251   {
    252    "cell_type": "code",
    253    "execution_count": 7,
    254    "metadata": {
    255     "collapsed": false
    256    },
    257    "outputs": [],
    258    "source": [
    259     "ty_future = continuous_future('TY', offset=0, roll='calendar', adjustment='mul')\n",
    260     "ty_prices = history(ty_future, fields='price', start_date='2009-01-01', end_date='2017-01-01')\n",
    261     "ty_prices.name = ty_future.root_symbol\n",
    262     "\n",
    263     "equities = symbols(['EQR', 'SPY'])\n",
    264     "equity_prices = get_pricing(equities, fields='price', start_date='2009-01-01', end_date='2017-01-01')\n",
    265     "equity_prices.columns = map(lambda x: x.symbol, equity_prices.columns)\n",
    266     "\n",
    267     "data = pd.concat([ty_prices, equity_prices], axis=1)\n",
    268     "data = data.dropna()"
    269    ]
    270   },
    271   {
    272    "cell_type": "code",
    273    "execution_count": 8,
    274    "metadata": {
    275     "collapsed": false
    276    },
    277    "outputs": [
    278     {
    279      "data": {
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YqY1L89zerD4+GE5Hk87Z/9EnrLvtj+a+T3g4A2+b631du50hd99J1LgTa71G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\nHp65bRBWq/W4paqG4SnB0lvu6SOMPPz2ZoorNXZCqbZRz3u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wsC5NBwCcggI7bQdwi4tF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\nOKX/D19TIsNk8mOxAAAAAElFTkSuQmCC\n",
    281       "text/plain": [
    282        "<matplotlib.figure.Figure at 0x7f56abf42710>"
    283       ]
    284      },
    285      "metadata": {},
    286      "output_type": "display_data"
    287     }
    288    ],
    289    "source": [
    290     "data.plot()\n",
    291     "plt.legend();"
    292    ]
    293   },
    294   {
    295    "cell_type": "markdown",
    296    "metadata": {},
    297    "source": [
    298     "If we apply a hypothesis test to the two price series we find that they are indeed cointegrated, corroborating our economic hypothesis."
    299    ]
    300   },
    301   {
    302    "cell_type": "code",
    303    "execution_count": 9,
    304    "metadata": {
    305     "collapsed": false
    306    },
    307    "outputs": [
    308     {
    309      "name": "stdout",
    310      "output_type": "stream",
    311      "text": [
    312       "Cointegration test p-value:  0.0299261276671\n"
    313      ]
    314     }
    315    ],
    316    "source": [
    317     "print 'Cointegration test p-value: ', coint(data['TY'], data['EQR'])[1]"
    318    ]
    319   },
    320   {
    321    "cell_type": "markdown",
    322    "metadata": {},
    323    "source": [
    324     "The next step would be to test if this signal is viable once we include market impact by trading EQR against the futures contract as a pair in a backtest."
    325    ]
    326   },
    327   {
    328    "cell_type": "markdown",
    329    "metadata": {},
    330    "source": [
    331     "Trading strategies based on cointegrated pairs form buy and sell signals based on the *relative prices* of the pair.  We can also form trading signals based on *changes in prices*, or returns.  Of course we would expect that changes in futures prices to be contemporaneously correlated with stock prices, which is not forecastable.  If crude oil prices rise today, oil company stocks are likely to rise today also.  But perhaps there are lead/lag effects also between changes in futures and stocks returns.  We know there is evidence that the market can systematically underreact or overreact to other news releases, leading to trending and mean reversion.  Let's look at a few examples with futures.\n",
    332     "\n",
    333     "The first example looks at crude oil futures and oil company stocks."
    334    ]
    335   },
    336   {
    337    "cell_type": "code",
    338    "execution_count": 13,
    339    "metadata": {
    340     "collapsed": false
    341    },
    342    "outputs": [],
    343    "source": [
    344     "cl_future = continuous_future('CL', offset=0, roll='calendar', adjustment='mul')\n",
    345     "cl_prices = history(cl_future, fields='price', start_date='2007-01-01', end_date='2017-04-06')\n",
    346     "cl_prices.name = cl_future.root_symbol\n",
    347     "\n",
    348     "equities = symbols(['XOM', 'SPY'])\n",
    349     "equity_prices = get_pricing(equities, fields='price', start_date='2007-01-01', end_date='2017-04-06')\n",
    350     "equity_prices.columns = map(lambda x: x.symbol, equity_prices.columns)\n",
    351     "\n",
    352     "data = pd.concat([cl_prices, equity_prices],axis=1)\n",
    353     "data = data.dropna()"
    354    ]
    355   },
    356   {
    357    "cell_type": "code",
    358    "execution_count": 23,
    359    "metadata": {
    360     "collapsed": false
    361    },
    362    "outputs": [
    363     {
    364      "data": {
    365       "text/html": [
    366        "<div>\n",
    367        "<table border=\"1\" class=\"dataframe\">\n",
    368        "  <thead>\n",
    369        "    <tr style=\"text-align: right;\">\n",
    370        "      <th></th>\n",
    371        "      <th>CL</th>\n",
    372        "      <th>XOM</th>\n",
    373        "      <th>SPY</th>\n",
    374        "      <th>stock_ret</th>\n",
    375        "      <th>futures_ret</th>\n",
    376        "      <th>spy_ret</th>\n",
    377        "      <th>stock_excess</th>\n",
    378        "      <th>futures_lag</th>\n",
    379        "      <th>futures_lag_diff</th>\n",
    380        "    </tr>\n",
    381        "  </thead>\n",
    382        "  <tbody>\n",
    383        "    <tr>\n",
    384        "      <th>2017-03-31 00:00:00+00:00</th>\n",
    385        "      <td>50.85</td>\n",
    386        "      <td>82.00</td>\n",
    387        "      <td>235.72</td>\n",
    388        "      <td>-0.020281</td>\n",
    389        "      <td>0.010279</td>\n",
    390        "      <td>-0.002331</td>\n",
    391        "      <td>-0.017950</td>\n",
    392        "      <td>0.014610</td>\n",
    393        "      <td>0.014610</td>\n",
    394        "    </tr>\n",
    395        "    <tr>\n",
    396        "      <th>2017-04-03 00:00:00+00:00</th>\n",
    397        "      <td>50.25</td>\n",
    398        "      <td>82.08</td>\n",
    399        "      <td>235.37</td>\n",
    400        "      <td>0.000975</td>\n",
    401        "      <td>-0.011870</td>\n",
    402        "      <td>-0.001486</td>\n",
    403        "      <td>0.002461</td>\n",
    404        "      <td>0.010279</td>\n",
    405        "      <td>0.010279</td>\n",
    406        "    </tr>\n",
    407        "    <tr>\n",
    408        "      <th>2017-04-04 00:00:00+00:00</th>\n",
    409        "      <td>51.13</td>\n",
    410        "      <td>82.35</td>\n",
    411        "      <td>235.50</td>\n",
    412        "      <td>0.003284</td>\n",
    413        "      <td>0.017361</td>\n",
    414        "      <td>0.000552</td>\n",
    415        "      <td>0.002732</td>\n",
    416        "      <td>-0.011870</td>\n",
    417        "      <td>-0.011870</td>\n",
    418        "    </tr>\n",
    419        "    <tr>\n",
    420        "      <th>2017-04-05 00:00:00+00:00</th>\n",
    421        "      <td>50.82</td>\n",
    422        "      <td>82.53</td>\n",
    423        "      <td>234.77</td>\n",
    424        "      <td>0.002183</td>\n",
    425        "      <td>-0.006081</td>\n",
    426        "      <td>-0.003105</td>\n",
    427        "      <td>0.005288</td>\n",
    428        "      <td>0.017361</td>\n",
    429        "      <td>0.017361</td>\n",
    430        "    </tr>\n",
    431        "    <tr>\n",
    432        "      <th>2017-04-06 00:00:00+00:00</th>\n",
    433        "      <td>51.74</td>\n",
    434        "      <td>83.02</td>\n",
    435        "      <td>235.39</td>\n",
    436        "      <td>0.005920</td>\n",
    437        "      <td>0.017941</td>\n",
    438        "      <td>0.002637</td>\n",
    439        "      <td>0.003282</td>\n",
    440        "      <td>-0.006081</td>\n",
    441        "      <td>-0.006081</td>\n",
    442        "    </tr>\n",
    443        "  </tbody>\n",
    444        "</table>\n",
    445        "</div>"
    446       ],
    447       "text/plain": [
    448        "                              CL    XOM     SPY  stock_ret  futures_ret  \\\n",
    449        "2017-03-31 00:00:00+00:00  50.85  82.00  235.72  -0.020281     0.010279   \n",
    450        "2017-04-03 00:00:00+00:00  50.25  82.08  235.37   0.000975    -0.011870   \n",
    451        "2017-04-04 00:00:00+00:00  51.13  82.35  235.50   0.003284     0.017361   \n",
    452        "2017-04-05 00:00:00+00:00  50.82  82.53  234.77   0.002183    -0.006081   \n",
    453        "2017-04-06 00:00:00+00:00  51.74  83.02  235.39   0.005920     0.017941   \n",
    454        "\n",
    455        "                            spy_ret  stock_excess  futures_lag  \\\n",
    456        "2017-03-31 00:00:00+00:00 -0.002331     -0.017950     0.014610   \n",
    457        "2017-04-03 00:00:00+00:00 -0.001486      0.002461     0.010279   \n",
    458        "2017-04-04 00:00:00+00:00  0.000552      0.002732    -0.011870   \n",
    459        "2017-04-05 00:00:00+00:00 -0.003105      0.005288     0.017361   \n",
    460        "2017-04-06 00:00:00+00:00  0.002637      0.003282    -0.006081   \n",
    461        "\n",
    462        "                           futures_lag_diff  \n",
    463        "2017-03-31 00:00:00+00:00          0.014610  \n",
    464        "2017-04-03 00:00:00+00:00          0.010279  \n",
    465        "2017-04-04 00:00:00+00:00         -0.011870  \n",
    466        "2017-04-05 00:00:00+00:00          0.017361  \n",
    467        "2017-04-06 00:00:00+00:00         -0.006081  "
    468       ]
    469      },
    470      "execution_count": 23,
    471      "metadata": {},
    472      "output_type": "execute_result"
    473     }
    474    ],
    475    "source": [
    476     "#Take log of prices\n",
    477     "data['stock_ret'] = np.log(data['XOM']).diff()\n",
    478     "data['spy_ret'] = np.log(data['SPY']).diff()\n",
    479     "data['futures_ret'] = np.log(data['CL']).diff()\n",
    480     "\n",
    481     "# Compute excess returns in excess of SPY\n",
    482     "data['stock_excess'] = data['stock_ret'] - data['spy_ret']\n",
    483     "\n",
    484     "#Compute lagged futures returns\n",
    485     "data['futures_lag_diff'] = data['futures_ret'].shift(1)\n",
    486     "data = data[2:].dropna()\n",
    487     "data.tail(5)"
    488    ]
    489   },
    490   {
    491    "cell_type": "markdown",
    492    "metadata": {},
    493    "source": [
    494     "We have a high positive contemporaneous correlation, but a slightly negative lagged correlation."
    495    ]
    496   },
    497   {
    498    "cell_type": "code",
    499    "execution_count": 24,
    500    "metadata": {
    501     "collapsed": false
    502    },
    503    "outputs": [
    504     {
    505      "name": "stdout",
    506      "output_type": "stream",
    507      "text": [
    508       "Contemporaneous correlation:  0.257312975324\n",
    509       "Lagged correlation         :  -0.0519203748947\n"
    510      ]
    511     }
    512    ],
    513    "source": [
    514     "#Compute contemporaneous correlation\n",
    515     "contemp_corr = data['stock_excess'].shift(1).corr(data['futures_lag_diff'])\n",
    516     "#Compute correlation of excess stock returns with lagged futures returns\n",
    517     "lagged_corr = data['stock_excess'].corr(data['futures_lag_diff'])\n",
    518     "print 'Contemporaneous correlation: ', contemp_corr\n",
    519     "print 'Lagged correlation         : ', lagged_corr"
    520    ]
    521   },
    522   {
    523    "cell_type": "markdown",
    524    "metadata": {},
    525    "source": [
    526     "And when we form a linear regression of the excess returns of XOM on the lagged futures returns, the coefficient is significant and negative. This and the above correlations indicate that there might be a slight overreaction to the shift in oil prices."
    527    ]
    528   },
    529   {
    530    "cell_type": "code",
    531    "execution_count": 35,
    532    "metadata": {
    533     "collapsed": false
    534    },
    535    "outputs": [
    536     {
    537      "data": {
    538       "text/html": [
    539        "<table>\n",
    540        "<tbody><tr>\n",
    541        "        <td>Model:</td>               <td>OLS</td>         <td>Adj. R-squared:</td>      <td>0.002</td>   \n",
    542        "</tr>\n",
    543        "<tr>\n",
    544        "  <td>Dependent Variable:</td>   <td>stock_excess</td>          <td>AIC:</td>         <td>-16587.6204</td>\n",
    545        "</tr>\n",
    546        "<tr>\n",
    547        "         <td>Date:</td>        <td>2017-04-25 18:21</td>        <td>BIC:</td>         <td>-16575.9124</td>\n",
    548        "</tr>\n",
    549        "<tr>\n",
    550        "   <td>No. Observations:</td>        <td>2576</td>         <td>Log-Likelihood:</td>     <td>8295.8</td>   \n",
    551        "</tr>\n",
    552        "<tr>\n",
    553        "       <td>Df Model:</td>              <td>1</td>           <td>F-statistic:</td>        <td>6.958</td>   \n",
    554        "</tr>\n",
    555        "<tr>\n",
    556        "     <td>Df Residuals:</td>          <td>2574</td>       <td>Prob (F-statistic):</td>   <td>0.00840</td>  \n",
    557        "</tr>\n",
    558        "<tr>\n",
    559        "      <td>R-squared:</td>            <td>0.003</td>            <td>Scale:</td>        <td>9.3463e-05</td> \n",
    560        "</tr>\n",
    561        "</tbody></table>\n",
    562        "<table>\n",
    563        "<tbody><tr>\n",
    564        "          <td></td>          <th>Coef.</th>  <th>Std.Err.</th>    <th>t</th>     <th>P&gt;|t|</th> <th>[0.025</th>  <th>0.975]</th> \n",
    565        "</tr>\n",
    566        "<tr>\n",
    567        "  <th>const</th>            <td>-0.0001</td>  <td>0.0002</td>  <td>-0.6881</td> <td>0.4914</td> <td>-0.0005</td> <td>0.0002</td> \n",
    568        "</tr>\n",
    569        "<tr>\n",
    570        "  <th>futures_lag_diff</th> <td>-0.0216</td>  <td>0.0082</td>  <td>-2.6377</td> <td>0.0084</td> <td>-0.0377</td> <td>-0.0055</td>\n",
    571        "</tr>\n",
    572        "</tbody></table>\n",
    573        "<table>\n",
    574        "<tbody><tr>\n",
    575        "     <td>Omnibus:</td>    <td>412.749</td>  <td>Durbin-Watson:</td>     <td>1.950</td> \n",
    576        "</tr>\n",
    577        "<tr>\n",
    578        "  <td>Prob(Omnibus):</td>  <td>0.000</td>  <td>Jarque-Bera (JB):</td> <td>6879.407</td>\n",
    579        "</tr>\n",
    580        "<tr>\n",
    581        "       <td>Skew:</td>     <td>-0.156</td>      <td>Prob(JB):</td>       <td>0.000</td> \n",
    582        "</tr>\n",
    583        "<tr>\n",
    584        "     <td>Kurtosis:</td>   <td>11.000</td>   <td>Condition No.:</td>      <td>43</td>   \n",
    585        "</tr>\n",
    586        "</tbody></table>"
    587       ],
    588       "text/plain": [
    589        "<class 'statsmodels.iolib.summary2.Summary'>\n",
    590        "\"\"\"\n",
    591        "                   Results: Ordinary least squares\n",
    592        "====================================================================\n",
    593        "Model:              OLS              Adj. R-squared:     0.002      \n",
    594        "Dependent Variable: stock_excess     AIC:                -16587.6204\n",
    595        "Date:               2017-04-25 18:21 BIC:                -16575.9124\n",
    596        "No. Observations:   2576             Log-Likelihood:     8295.8     \n",
    597        "Df Model:           1                F-statistic:        6.958      \n",
    598        "Df Residuals:       2574             Prob (F-statistic): 0.00840    \n",
    599        "R-squared:          0.003            Scale:              9.3463e-05 \n",
    600        "--------------------------------------------------------------------\n",
    601        "                      Coef.  Std.Err.    t    P>|t|   [0.025  0.975]\n",
    602        "--------------------------------------------------------------------\n",
    603        "const                -0.0001   0.0002 -0.6881 0.4914 -0.0005  0.0002\n",
    604        "futures_lag_diff     -0.0216   0.0082 -2.6377 0.0084 -0.0377 -0.0055\n",
    605        "--------------------------------------------------------------------\n",
    606        "Omnibus:              412.749       Durbin-Watson:          1.950   \n",
    607        "Prob(Omnibus):        0.000         Jarque-Bera (JB):       6879.407\n",
    608        "Skew:                 -0.156        Prob(JB):               0.000   \n",
    609        "Kurtosis:             11.000        Condition No.:          43      \n",
    610        "====================================================================\n",
    611        "\n",
    612        "\"\"\""
    613       ]
    614      },
    615      "execution_count": 35,
    616      "metadata": {},
    617      "output_type": "execute_result"
    618     }
    619    ],
    620    "source": [
    621     "result = sm.OLS(data['stock_excess'], sm.add_constant(data['futures_lag_diff'])).fit()\n",
    622     "result.summary2()"
    623    ]
    624   },
    625   {
    626    "cell_type": "markdown",
    627    "metadata": {},
    628    "source": [
    629     "A coefficient of around $-0.02$ on the lagged futures return implies that if the oil price increased by 1% yesterday, the pure-play refiner is expected to go down by $2$ bp today. This would require more testing to formulate a functioning model, but it indicates that there might be some signal in drawing out the underreaction or overreaction of equity prices to changes in futures prices.\n",
    630     "\n",
    631     "This conjecture could be total data mining, but perhaps when the connection between the futures and stock is exceedingly obvious, like oil stocks and oil exploration companies or gold stocks and gold miners, the market overreacts to fundamental information, but when the relationship is more subtle, the market underreacts.\n",
    632     "\n",
    633     "Also, there may be other lead/lag effects over longer time scales than one-day, but as always, this could also lead to more data mining."
    634    ]
    635   },
    636   {
    637    "cell_type": "code",
    638    "execution_count": 19,
    639    "metadata": {
    640     "collapsed": false
    641    },
    642    "outputs": [
    643     {
    644      "data": {
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tnZD24IcIT4T4BQH736NQdAlAaWK2nQpP9QbinLxoNQEfSaquXNr27NmDq6++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\nAAAAAElFTkSuQmCC\n",
    646       "text/plain": [
    647        "<matplotlib.figure.Figure at 0x7f5693810ad0>"
    648       ]
    649      },
    650      "metadata": {},
    651      "output_type": "display_data"
    652     }
    653    ],
    654    "source": [
    655     "data['futures_lag_diff'].plot(alpha=0.50, legend=True)\n",
    656     "data['stock_excess'].plot(alpha=0.50, legend=True);"
    657    ]
    658   },
    659   {
    660    "cell_type": "markdown",
    661    "metadata": {
    662     "collapsed": true
    663    },
    664    "source": [
    665     "*This presentation is for informational purposes only and does not constitute an offer to sell, a solicitation to buy, or a recommendation for any security; nor does it constitute an offer to provide investment advisory or other services by Quantopian, Inc. (\"Quantopian\"). Nothing contained herein constitutes investment advice or offers any opinion with respect to the suitability of any security, and any views expressed herein should not be taken as advice to buy, sell, or hold any security or as an endorsement of any security or company. In preparing the information contained herein, Quantopian, Inc. has not taken into account the investment needs, objectives, and financial circumstances of any particular investor. Any views expressed and data illustrated herein were prepared based upon information, believed to be reliable, available to Quantopian, Inc. at the time of publication. Quantopian makes no guarantees as to their accuracy or completeness. All information is subject to change and may quickly become unreliable for various reasons, including changes in market conditions or economic circumstances.*"
    666    ]
    667   }
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