python-pour-finance/10-Plateforme-Quantopian/03-Premier-Algorithme-Tradi...

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298 KiB
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Premier Algorithme de Trading\n",
"## Trading de Paires\n",
"\n",
"Le trading de paires est une stratégie qui utilise deux actions qui sont fortement corrélées. Nous pouvons alors utiliser la différence de prix entre les deux actions comme signal si l'une d'entre elles sort de la corrélation avec l'autre. Il s'agit d'une stratégie plus ancienne qui est utilisée classiquement comme guide pour commencer le trading algorithmique. Il existe un guide complet fantastique et vous pouvez le trouvez sur Investopedia [ici](http://www.investopedia.com/university/guide-pairs-trading/)! **Je vous recommande vivement de lire l'article dans son intégralité avant de continuer, il est divertissant et instructif !**\n",
"\n",
"\n",
"Créons notre premier algorithme de Trading base ! Il s'agit d'un exercice d'utilisation de l'algorithme quantique, **PAS** d'une représentation réaliste de ce qu'est un bon algorithme ! N'utilisez jamais quelque chose d'aussi simple que cela dans le monde réel ! Il s'agit d'une version extrêmement simplifiée du Trading de paires, nous ne prendrons pas en compte des facteurs tels que la co-intégration !"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## United Airlines et American Airlines"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"start = '07-01-2015'\n",
"end = '07-01-2017'"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"# en local\n",
"# united = quandl.get('WIKI/UAL',start_date=start,end_date=end)\n",
"# american = quandl.get('WIKI/AAL',start_date=start,end_date=end)\n",
"\n",
"united = get_pricing('UAL',start_date=start,end_date=end)\n",
"american = get_pricing('AAL',start_date=start,end_date=end)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>open_price</th>\n",
" <th>high</th>\n",
" <th>low</th>\n",
" <th>close_price</th>\n",
" <th>volume</th>\n",
" <th>price</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2015-07-01 00:00:00+00:00</th>\n",
" <td>54.05</td>\n",
" <td>54.14</td>\n",
" <td>50.10</td>\n",
" <td>51.69</td>\n",
" <td>12129258.0</td>\n",
" <td>51.69</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2015-07-02 00:00:00+00:00</th>\n",
" <td>51.88</td>\n",
" <td>52.51</td>\n",
" <td>50.98</td>\n",
" <td>51.48</td>\n",
" <td>4551677.0</td>\n",
" <td>51.48</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2015-07-06 00:00:00+00:00</th>\n",
" <td>52.05</td>\n",
" <td>53.95</td>\n",
" <td>52.05</td>\n",
" <td>53.80</td>\n",
" <td>5458762.0</td>\n",
" <td>53.80</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2015-07-07 00:00:00+00:00</th>\n",
" <td>53.99</td>\n",
" <td>54.49</td>\n",
" <td>52.54</td>\n",
" <td>54.25</td>\n",
" <td>5373987.0</td>\n",
" <td>54.25</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2015-07-08 00:00:00+00:00</th>\n",
" <td>53.44</td>\n",
" <td>53.72</td>\n",
" <td>52.25</td>\n",
" <td>52.82</td>\n",
" <td>4050933.0</td>\n",
" <td>52.82</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" open_price high low close_price volume \\\n",
"2015-07-01 00:00:00+00:00 54.05 54.14 50.10 51.69 12129258.0 \n",
"2015-07-02 00:00:00+00:00 51.88 52.51 50.98 51.48 4551677.0 \n",
"2015-07-06 00:00:00+00:00 52.05 53.95 52.05 53.80 5458762.0 \n",
"2015-07-07 00:00:00+00:00 53.99 54.49 52.54 54.25 5373987.0 \n",
"2015-07-08 00:00:00+00:00 53.44 53.72 52.25 52.82 4050933.0 \n",
"\n",
" price \n",
"2015-07-01 00:00:00+00:00 51.69 \n",
"2015-07-02 00:00:00+00:00 51.48 \n",
"2015-07-06 00:00:00+00:00 53.80 \n",
"2015-07-07 00:00:00+00:00 54.25 \n",
"2015-07-08 00:00:00+00:00 52.82 "
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"united.head()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>open_price</th>\n",
" <th>high</th>\n",
" <th>low</th>\n",
" <th>close_price</th>\n",
" <th>volume</th>\n",
" <th>price</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2015-07-01 00:00:00+00:00</th>\n",
" <td>39.846</td>\n",
" <td>40.091</td>\n",
" <td>37.052</td>\n",
" <td>38.023</td>\n",
" <td>23439886.0</td>\n",
" <td>38.023</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2015-07-02 00:00:00+00:00</th>\n",
" <td>38.248</td>\n",
" <td>39.018</td>\n",
" <td>37.640</td>\n",
" <td>38.253</td>\n",
" <td>10226556.0</td>\n",
" <td>38.253</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2015-07-06 00:00:00+00:00</th>\n",
" <td>38.317</td>\n",
" <td>39.209</td>\n",
" <td>38.307</td>\n",
" <td>38.934</td>\n",
" <td>8025562.0</td>\n",
" <td>38.934</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2015-07-07 00:00:00+00:00</th>\n",
" <td>39.140</td>\n",
" <td>39.934</td>\n",
" <td>38.483</td>\n",
" <td>39.865</td>\n",
" <td>9341995.0</td>\n",
" <td>39.865</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2015-07-08 00:00:00+00:00</th>\n",
" <td>39.503</td>\n",
" <td>39.513</td>\n",
" <td>38.366</td>\n",
" <td>38.542</td>\n",
" <td>9976525.0</td>\n",
" <td>38.542</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" open_price high low close_price \\\n",
"2015-07-01 00:00:00+00:00 39.846 40.091 37.052 38.023 \n",
"2015-07-02 00:00:00+00:00 38.248 39.018 37.640 38.253 \n",
"2015-07-06 00:00:00+00:00 38.317 39.209 38.307 38.934 \n",
"2015-07-07 00:00:00+00:00 39.140 39.934 38.483 39.865 \n",
"2015-07-08 00:00:00+00:00 39.503 39.513 38.366 38.542 \n",
"\n",
" volume price \n",
"2015-07-01 00:00:00+00:00 23439886.0 38.023 \n",
"2015-07-02 00:00:00+00:00 10226556.0 38.253 \n",
"2015-07-06 00:00:00+00:00 8025562.0 38.934 \n",
"2015-07-07 00:00:00+00:00 9341995.0 39.865 \n",
"2015-07-08 00:00:00+00:00 9976525.0 38.542 "
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"american.head()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f5c657cdd68>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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qfd+XNVQQERZOUmQCAGHGMK6YsJDpQyfR0NIUtMWFSqJFREREZFBpcngS4ZzkUbjdbr4o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EAAAg\nAElEQVSTrCTFhue7afmsNP695RQHS5tYMTtt4DtEgDO1nTzyy60ALJ2ZKs42GfSDT340mYVj+rNF\n9DukbNhWjlIh4/Orxk4XGqROtEQIaeno6SjLZPDADbORy2Ws8V29TkqM4pIAi6LcNEEL/PTf9nMy\nYOgi3Gw7XMvmvZVs3F0xYuccLLNTp/HMxd/myinruW32tXxp3o2RXtKEZUXWQgAWZQR33owaoYg2\nOXo60Z9U7BJ/DnT08Hq9/Gbvi3TausQCennmAi6fvJalGfNZmjmfi3KW4fF6RIu9JjEgR9iBSNDH\nkRSVQGnLmX4jwN0eN7/f/w/x3912y9D+aHqK6FB0oiHY0i49WiqiI4FfmpB0AV3o8cw0n2a5L130\nW1vLOFvfxfYjQtBVqDrR57JsljDUuONILe7zxJ1HkiOneuZBrlmdL/5s0Pk10YMoosVOdN/dZX8R\n3dFtZ3puQi8TgtGO1ImWCBmB0Z1XrcwT06FuXD+Fa3ym6YEdvRl5CcwuSORYWQu/fu0Qv/vWurAb\nq1tsTv72bjEAbV127E63OOAwWkiPTuWL874Q6WVMeK6Yso706FRmpQQPw4lFdICv947Knh2YZnPP\nBWGLpS2oqAa4aeZVQZ3qg3VFbD27h8qOGhamz6bF3IZCJide27MDMS2xgO2V+6jtaiAzpnfX6nTr\nWSraq1EpVDjdTuxuR69jBotdlHOEJlBD4+toGzUGYrWh0ZdKXBihliaMdWIMGjJTDJysbMPt9ojW\ned0WB598Vk1SnI7cSTHsL2kImSb6XPLSY0iO17PraB2nq9r58/cuGTGt+WAprxU+u/783YuZlNjj\nrBMlyjnO/zmz40gtx8paiDVo+hxeBUFa895OoaE136fXH0tInWiJkNHeJUQi33fNTO79fLAhvVql\n6DU8qNMoeeYrK7hqRS61zWb+8/GpsK/x9S2naOuyoVELhXNT29A7dhLjG7lMzrxJM1Ge42scremR\ncwCUt1VS2VHD/LRZqORKKtqrOFB7FJfHLXaX/cOdMRojk4zBuuBsX1x2ZUctzeZW6k2NJOrjkct7\nPp5FXXRz33KQFp8EZG7qdAAcwymi/XKOEHWi60xCaMySjHkTeoA4Upyt7+KuH20GwidNGItMz03A\n5nBzpq7nIvfDfZXYHW6uWpHHE/cs5q9PXMKcyUnneZShI5PJuME3ZNfUbhUdKkYTZ2o70WuVvRw4\nBqOJfmd7OT//52eolHK+dUf/0rKVc9KI84X3LJg29mYmpCJaImT4O9F56TEDphgFcvvl00iM1fHv\nLafCKuuoaTLx9vZykuN0ou6qUSqiJS6QaLET3Y3H4+EvB18D4IrJa0mKSqDR3MLPd/6Rxzc/w7aK\nvYAQy65RapiTOr1XIZmgiyNKredQfRFfff8HmBzmXraEhUk+XXQ/w4WtFmHmIM1XoPsL4aFg81nc\nqUOgiQ5kqS9xU2Jk+djn7wvhkyaMRfw+2MVnhO8ct9vDe7sq0KgVXLokC5lMNmAC4nC5Ynmu+F3U\n2mkL67kuFKvdRW2zYIF47ve5qInuR87x8YEqXnj7OLEGDc8+tPK8FyIymYzffWstT92/LGxd/3Ai\nFdESIcPfiY6LvjDbL4NOxTdunY/X6+WXrxwaVArSUHjzkzJcbi9f/vxMcWhEKqIlLhRjQCd6c9k2\nytsqWZG1kNmp04LkCjVdDXxWdwyA2SnT+OVl3+fLC27p9XgymYzJ8Tk43E7So1N5eMndPLz4i0HH\npBtTMaqjKG3up4i2Ci4D/i73sOQcYic6NEX0N5bfx6UFq5mZMnqGeCcSrgC9bX/DXRORGXnByYV7\njzfQ3G5l/cJM0Qd5JIj3fV+2dY2eIvpkZRv7ixvweiE/I6bX76MG6ERvPVgDwE8fWkleeu/7n0uM\nQSNaL441JE20REh469MyPtovdDz8WzMXwqyCRK6/qIA3Py3jhQ1FfO3m0Het6lvNyGWwZOYkTvni\na6UiWuJC8RfRZzuq2VV1gCi1ni/6BkD9Q4FzUqdz08yreOnwG0RrjRg0UedN6/vK4rtoMrcwJSGv\nT8mDTCZjalIBn9UepdXS3su20O8pnmYUvogcw+hE20NocQewNFMYoJSIDH5ruzXzMlg++/wJfROJ\n5DgdiTFajpe3YrE52bBNuEC9eoTdIeJjfIFEo6SIPnqqme//eTder/DvWfm9HVk0KgVKhbxPTbTd\n6aa4opWcSdFBgT3jFakTLTFsTle387f3hGE9pUKGbohJQ7dfNo28tBg+2l/Fax+W4vZ4Q7lM2rts\nRBs0KOQyUhKEbbrGNvMA95KQCMagEl475W2V2Fx27pxzvdiBvn3OtciQceusa5ickMuPL36Mx1Y+\nMOBjxulimJqYf17NcGa0UAA1mXtHjrdZOlDJlWJx7XAPPDXfHza/O0eI5RwSkaG5w4pGreCbt8/v\nd7hrIiKTyVi7MBOTxcEtT2zkZGU7S2akkpEc/jTGQPyd6I8PVFFU1vu9HU5OVbXzxB938fSL+3C6\n3HR22/nlawfFAhpgdh+2hjKZDINe1cud49DJJr756204XR7mTgmPlny0IRXREhdMRV0nf3zrGA6n\nG4B/f9QzEOhyDz19UKWU8927F5EUp+PVzSf5wZ924/WGrpBuN9mINwofWHFGDTqNgpqm7gHuJSER\njFwuF4vVWSmFrM1dLv5uRdYiXrvxOfLiQx9lf+5AYyCt1nbi9XFi93h4cg6hEx2qwUKJyNLcLljb\nSUOdvbn10kJmFyTi9UJijHZEg2T8JPg60aWV7fzk7/uD5DfhZsuBKo6ebmFfcQNF5a38+l+Haeuy\nixaAAHpt39Z0cUYN7Sab+B1dfKaVH76wh8oGEwBLZ06MXQ/pslTigvnu73ditrkoyIjBoFezr7h3\nQttQSU2I4hdfW83PXv6MY2UtnKpqZ2r20GKvA7HaXVjtbmKjhcJAJpORMymG0qp2mtosxMdoUSqk\na0qJwfH4ygfpsHUyM3lqr+Ik0FUjlBgDBhoDcblddNpMTEtKEbvHoXDnCJXFnUTksDlcmCwOCvrQ\ntUoIjZunH1hOTVM30VHqiHgUxwfMEHVbnZRUtPYKgAkXbQHDjH986xj1LWbmTkniiXuW8PwbR1k5\np/8QmKRYPRV1XZitTgx6NQ2twq7uVStyuW5tQdiHMkcLUtUwzui2OkPavT0Xr9eL2SYM/p2sbOf5\nN46iVMh57ltruWRxFl+/dfha5vhorWj94ze8Hy4dPueQQL12Tlo0Ho+XLz/zEa9uPhmS80hMDHLi\nMpg7aQZKxcj1IaI1wjbzuZ3oys5avHiJ18eh8q1nWO4cIdZES0QOfwBW0gQpaIaCTCYjM8UYsZCP\nczu9e4+Hrik1EO0moYhWyGXUt5iJMaj5xq3z0agUfP3W+Sya3n84kt/ppdn3GvN/x86bmjxhCmiQ\niuiw8sGes3z/T7uxhclt4lzqmru59YmNvBKmgrC60RQkf9i8t5J2k53bPjeV7EnRfO3meaxbGJpt\n7LlTkjHoVOw8UjtsbXRFXSc/emEPEHzVnxtgp/PfrX377/aFw+lmw7ZyyWNaYkSJ9g0mBhbRHq+H\nvx96HYBV2YuQy+SoFarQuHNImugxz6FSIXEuUUoqHBPoNEr2Ha8PayMskLYuO0lxOqblCru9j94y\nf9DuWv70S//gaofP5zp2CMYCYxmpiA4TNruLf7xfwpFTzSMWL+3/wAzUKIfysR/82Sf87OXPgm4v\nyIjh+osKQn4+lVLO8tlptHXZRQuiofLGJ6epaxG2mgLf4P7YcYCp2XG97tcfm/ac5a/vHOebv9nO\nqar2Ya1tolHV0MWRU03sOlo34kM0Yx1/J7quq4F6k/Be/+TMbkpbz7A0Yz7zJgkBR2qFenjuHC6p\nEz0e+GhfJX95+zgGnYrV89IjvRyJ8/DU/ct4/K6FLJqeQlO7lYq6rrCf0+v10uGbE3rk5nk8/cBy\nFl5A2InYiW4XmkliET3GYruHi1REh4ktB6pED8V/fXSK3cfqwn7OJt8VIQhd6VDyyYFqQEi/kstg\n7YIMdBoFj94yX4xMDTX+D/5th2qG/Bhuj5fDpc3iv+OMAZ3o9BjR3N1iG7ybwZ6iemQy6DLb+e7z\nu9h7vJ6XNpbw5F/2jlgHYSzy2YlGHvr5p3z/T3t49qUDfO8Pu6gN8et0POPXRB9pKOGRjT+k2dzK\nK8f+i06p5e75N4rHaRTqYcZ+O5EhQ63oe6BIYvTzwZ6z/Pb1Ixh0ap75yooJYTU2lpk3NZmVc9LF\nYbx9x+vDfs4uswOX20t8jJbUhKgLTmb0p1+eK+eQOtESw8bt8fL29nLUSjn/c90sPF4vv3v9SNjP\nW9nQc/X6v3/YxaY9Z3G6hj/pa3O42Ffc86aeX5jCo7fM5x8/vIzsMCYMzcxPJDFWx5b9VRSfGVo3\nurymA5Olp6CIjurZotaoFPzuW2tJidfz/9m778C2ynPx419NS7a8t+OV2M5eznQSkhACBCgkjMsq\nUKCM0kLpuKWXUcaFXwdQ2nJLgbaMFgIts2EmgSRAFs5w9rDjxPHee0iy5u8PWbIdO46V2JYtP59/\ncKSjo9cH+eg573ne52lq7R502OyOXgPrhhYzR07WMSk1gkdun49CAb/5x07e25jP7qNVEhT24WRH\ne93lc5NYmpkIcNb/X0ejALW2W9m532/7K20WIzdMW0mEPszzuFatof0cSty129rRqrVSzWGEamxp\n56UPDxBq0PKbHy3qV7MLMTzMnhiDWqUYkrxod3OXs+nrAF1nojuD6ECdGq1GNTADHCEkiB4EOw5V\nUFlnZNmcJC4/bxzT0qJoNVm9mu08G8UVzYQHB3DNsnSajVZefH8/9z67iVbj2c9KAeQcrcZssTM9\nPYpAnZqrz09HqTz7etD9pVIq+Pl3Z+EEnnlzl6cjojdyC10tXd1jTYrtWQM01KCluc3SbRb5+Xf2\ncv0jn/foyPTV7lKcTlg0PYF5U+L43Y/O63b7yv1+oif3yfbKpelcc4ErBUiOl3e61n8+2VBCvCGG\nFelLu20TcM7pHBYCZBZ6xDp4ohaHw8mqJWkjso3yaBao0zA9I5qC8iav19zkFdXzvSfWsWl3MW+u\nPUp7RwlaU7ut17J5Dc2umeMILzsMu4WH6FApFeQVN2A0W2lsbffZ4kxfkiB6EPzna1fno1VL0oDO\nD2ld0+B1JGo1WqhtMjN2TCi3XT6Fvz98IbMmxFBR2+ap23i2Nu9zpVPcuWoq7/z6O0zrpfj6YJmW\nFsVt35lMfXM7T7+52+samu48rUe/P5+3n7q01xNGSFAANrvD027c4XB62pZ2DfIcDifrvi1Eq1ay\nbE4SAOlJYfz5F8u4/7qZABw5KUHh6VR35M7FhOtJjgtBH6DmqATRXnHSPV1oUnR6j5J655LO0dLe\nSq2xnmCt3P4ficprWlm7vRDovdOcGP6yprgqYmQf9i6l4/VPj9DQ0s4f/7WXdzcc48lXsnljUw03\n/upzHvvrtz2298xEn2UQrVIquGzRWKrqjTz9xm6aW9tHXT40SBDttZ1HKnnlo0M4TlMx4uCJWnKL\nGpg7OdYz6+kupl4/iEF0dkcOlbtIekSIjlkTXS2Am9vaz3q/RrOV3UeqSIwx+GxW48qlaSyansDh\ngjrWfNP/KhrgyvsCV55WcGDv1QbcKR7ulI6uaTFdFw4eLaynoq6N82aO6bavUEMAF8xJQh+gkiC6\nixajhd1Hq6hrcs1AVzeYCNJrCNRpUCkVTEgJp7S69ZzvlIxm4yJSejymVWtxOB3YHHav9/dp3kba\n7RaWp503EMMTQ8jpdPLIy9s5eMK1YDc9KewMrxDDUeYE1/d2XmEDtY0mcnKrThtvdHVq9tWB47UU\nVLq++4+XNnZ7zmyx8cWOIgDiIs++HN0dV0xhzqRY9uRV43COvnxokCDaK+U1rTz16g4+2nzCk98J\nrpJnv359Bx9vOcFzb+WgUMC1F4z3PO8OouuaTT32OVA2dCz8WzY7yfNY6CnB4dnYebgSi83Bkplj\nfJYjqVAouO+6mahVSrbs9a5udFPHTHRft5nczzV1XGzsz+9ciNh1Jvrbg64LlcUze650V6mUTE+P\npqymtVsQPhp9vaeU+5/7ipseW8v/vpLNs6tzcDqd1DQYiQnvLLWVnuj6kj9R1nS6XYlTLEye0+3f\nab0E0Z6GK16mdDS3t7I2/ytCdSFclLb47AcpfKKyzuipC33F4nHSPGqEig4PRK1SsnlfGbc/9QVP\n/D2bjbuKz/i68po2z88ZSWH8+LqZ/HRVHJkTYjC12zzppDa7g6ff2M3RwnqWZI5h6rizv2OhUin5\n5S1zSOto5iNB9CiUW1TPXz880K9axGs2d86CHu5Sdu1YcQPZhyr5+5pD1DWZufWyyZ66iwCRoa7A\nYbDSOU6WN3G4oI7p6VHERnReVYYEuT7Q7tnYs+FudnJeL4HjUDLoNUxLi6SgvMmTW+tmdzhPWxWj\nqdWCUuF6/em4Lzbcx8k9m6xVKzlW3IDT6dr/t4cqCNSpmZHR+0ln6SzXYjl3Ksho9fa6XIoqW5iW\nFkV8VBCHC+q48zcbMFvsnhXdgGfBU4EE0f1237xbeeXKZz3/Tg7t2VFM29Fp0NuUjk/zNmC2tXPl\nxIulW+EI5E6NuuvKqdx95TQfj0acLZVS0e17HGDr/t6rezmdTqw2O9UNRk96BsBlC1O5eH4KYUFq\nTwpjfbMZU7uNP/1rL7uPVjFrQgw/vWEWSuW5TY7pA9Q8dkcWi2YkeBaMjyZ+3fY7+1AFFbVtXNVH\nHeMH/m8L4OrzPmN83yVeirvkFh8pqGflYlfOc0mXBiS3fWcyVy/r/n6eD/EgBNElVS289slhgB7v\nG3JKcOgtq83O3rxqUuNDel2QN9TmTYlj77EaXv3kEIcL6piZEU1No4mCskZiwgP58y+W9Zgtb25r\nJzhI2+eJItTQcZw6Zq1PlDURatAyKTWC7EOVNLdZqKxro7reyNLMRDTq3lcfz5sSR6BOzabdJUy8\nNHKAfuvhL7ewnk+2FvCDq6a7Ol/VtTEjI4r/d88iPt9+kpc+OOBZJKML6Dx2aRJEe02tUhOiMvDY\n+T+l1dKGppcFgO6ZaG+C6GZzC2vzvyZcFyqz0COU+66ZO6VPjFzxUUGeSk+BOjX782v447/20NBs\nZky0gbuvmoap3cZP/vA1lXWdCxBXLUljWlok86Z0dhp0xx+FFc386uXt1DWZmZASzkO3zkWjHph5\n1IgQHQ9+b+6A7Guk8dsg2mK183/v7KPFaGFqWiQZSX030+jP1VhJVQvxkUG0W20cOVmH0+lEoVBQ\nWu0Krn9//2ImpPQ8gXWmcwxcEL3tQDlvfn6Eso5bOJNSI5jVkUvlFtIRHDadZU50i9GKze4kMWZ4\nLDKaNzmOv/7nINs6rsq/3lOKQgEatYqiyhbqm82eWX+3plbLGRdOuGfsDxXUMWdSHNX1RmZ1aV1a\n02Bi4+6OdJk5p7/SDtCouHBuMh9vKeBIsYn58/r+fSpq21D2MuswnLln/GsaTESE6jhR2shjf/sW\nU7uNuZPjPJ/1tDGuVI2F0xJ44/OjRIbqKK5s6fYZjYsMQh+glnSOszA1dsJpn+srnSO35gTN1p5l\nGNcd/5p2Wzs3TlvpmckWI0dTazvZhyoI0Kq6NZESI1PXPOXrLxzP658eYVPHd9DeYzXccPEE1mcX\nUVlnZFxCKBGhOnRaFd9ZNJb4qKBu+4roOCe/vymfuiYzF81L5s5VU9ENcnWt0cJvj+L2gxWe+sAf\nby7gv2+a3ef2ZkvfrbmbWttpbrMwISUcrUbFtv3lVNS1kRBloLTK9aWUGNP7bG1IkBa1SulZYDUQ\n3t+UT0VtGwumxZM1NY4F0xJ6zMKe60x0W0d5t6A+UiGGUkxEIKnxIRRWNBMRouPRO+aTEBXE+5vy\neW9jPuU1bd2CaJvdQavJSmpC3wsiJ6ZGEBGiY+OuEvYfc+VDpyWGeo5fWU0rm/eWERGiY+b4mL52\nxRWLx/HJ1gK+zWvhto6LrNO5+7cbAPjkuVX9+v19zel08sD/baGqwUhzazsZSeGU1rR6qprUNBg9\nOejuVI2w4AD++fgKtGolrSZrt7QapVJBSlwwx0oasdsdg9a0Z7Q5XTpHcWMZj296jghNKIsd56FW\ndt4VKKh35VwuSZ0/dAMVA+a1Tw7T0NLO9y6bJLnQfqBr2tuqpenMyIgmSK/hw6+Ps3Z7IVX1Rj7a\nfAKDXsNv711EoO7039HuiY0TpU2oVQpu/c7kPrcX3vHbv7Z13xYCrtsM2w6U91qjuWtVAKO57yC6\ntCNlIykmmCljXbfqjxTUdzzXQkRIwGmDTYVCQVhwgKejz7myO5wUV7aQGh/Kw7fN44I5yb3WbNZp\nXYXP3WkK3mrrOGZBw+gPbu5kV1vSRTMSSE8MI1Cn8XTjKq1pxW538OFX+Rw8Xuu5iAoN6nuxQ0iQ\nlhceWMay2YnUdqTcjBsT6jmRfbbtJG0mK8tmJ6I6wx2LuMggsqbGU1Fv7bNSR0PL4FVqGSz1zWby\nihtobGnH4cRTH/S/LsgA4I3Pj/LKR4cAujV4CNCoUCgUBAf2bOAREx6Iw+Gkvnlg/jYEnhrP7afM\nRL9/5HOcOKmzNrIu/6tuz9UaG9BrdBi03WexxPBntzvYcaiCmHA91yzL8PVwxADQd6S96bQqVEoF\naYlhxEUGkdjxXZdbWE9zm4UZ46PPGBB3Les6f2r8qKzlPJj8cia6pKqFwwV1zMiIYlJqJP/+Mo89\nedWcN6P74riKus7VrMb2voPokipXykZSrMFzu2zLvjJyi+qpbjAx/Qy1k0MCtVTUedfNznmamcyq\n+jYsVjvJ8WfOU3Y3EjkbRpPrmATqh8/H5JKsVArKmvjOorGex8Z0pJuUVbfy1zUHWbu9EKVSweXn\nubZxp7X0JThQy8+/O5slmYnsz69h3uQ4CitcVTbcC3YumJPU1y48Vi1J49uDFXy0+QRTxvWeG11U\n0VnBw2pzDFhu2kAymq2cLG/2/A7HSzrLJC2YFo/V5mDprETmTorl/U35nufmTY7rd5vhqDDXnYPa\nRpOnA5bT6WT7gQrqmkxcNL9n9Qlv1TWZ0GpUpy1x6G+CtK6Lv+b2zjUcjaYmdpTuJSkknprWet47\n9BnnJc8lTO86l9UZ64nS953yJoanY8WNtJltLM5MPOdFYmJ4WDYnidyiBlYuHtft8ZiO1L89edUA\n/TrPRnYJoi+alzyAoxTgp0G0exb6kgWpJEQZ+PeXeXyzp5RF07unPFTWdibkm87QTdAdSKUmhJKa\nEIo+QO35IEeF6T2NVU4nOEhDQbm93wHTvc9uIjYikMfuyOrxXFGF68sxJe7MdZtDgrSUVZ9dK2p3\nOodhGM1Ex0QE8sRdC7o95j6RfNRRPSUp1kBTq4WPNxcAZ56J7mrOpFjmTHLNdkeHdaaGZCSFkdyP\n4w0weWwE8REasg9VUFnXRlxkz9m9worOAKe5rb1HLvdw8Jf397N5bxmP35nFnEmxntxl97+70geo\nMbXbGBMdxKN39D8loGsQ7ZZ9qILfvbELcM1+T4vv/5jbTFbKa1s9ayBaTVbufWYTVpuDB26ZQ9ZU\nL3Y2QsUZXClHFS3Vnse+LdmD0+lkedp5lJeW80XNNlYf+A/3zb8No9VEm9XE+Khxp9ulGMb2HnP9\nf541oe+F8WLk0GnV/OzGWT0ed6+f2duRdtifIDrEEIBWrSQkSHvGdEThPZ9Mf7W3t3PhhReyZs0a\nKisrueWWW7j55pv52c9+htV6bq2x2612Nu4uIcwQwPwp8YxNCGFsQgjZhyq58Vefs+ab455t3QsC\noe90DrvDye6jVYQHBzAuIRSVUsHNl0xkSeYYHr8zi1ceuajbatjeGDpmwfrTWKLdaqe4soVdR6qw\n2no2TCjuqEOcEnfmmeiQQC1mi50NO4vOuO2p3OkcgcMkJ/p0ggO1uCdgIkN1PHn3Qn5//xISOhZY\nhIec3e2rUEOAJ79w+dz+X8ErFAoWTAjG6YRPthSQW1jPbU+u71ZbvOtM9ECl+Qy0zR01ubcfKMdi\ntXOko6yjuyZoV+5r01QvFzV5gugu6wXcC2gA1mUX0W7tf5fKf3x2hJ//abNn8ek3e0ppM9uw2Bye\nTm7+Lj7Y9UVZ2dpZ73x7SQ4KhYKFSbOZETKBsWFJbC7cQV7tCeqMroZCkTITPSLtzatGqVQwLV2C\naH8X3bHY3d18ZUz0mdOvVEoFj9w+n0dun3/GdEThPZ8E0S+++CLh4a4T9vPPP88tt9zC6tWrSUhI\n4IMPPjinfW8/UE6bycqF85LRqJUoFAoeuyOLiSnhtJltvPH5USo70jjcV3PQPZ1jw84iDh6v9fz7\nWFEDzW0W5k6O89wuW7kkjQdunsOcSbH9+mCGdATRLf0IorsG2rlFDd2eM7fb+Gavqw5xavyZAxZ3\nkPL8O/u8TusYbgsL+/Kj/5rBysXjeO4nS4gK0xMfFcSz9y/hzlVTWXKWNa5dlTP0qFVKlmR6t4/J\nyXoiQ3V8ubOI3/xjJ3VNZt5alwu4SgceLuisM34uzXAGmsPh5NuDFZ4FggDf7C3ju4+tZX9+LdHh\nesKDe1Y7cV+ExoZ7V2kk+pSZ6KMn69l9tIrU+BCuu3A8bSarp+tWf2R3NMT5/Vu7ued3G/nnZ4c9\nf7NV9W19vdRvRAdFolQoqewyE13cVEZiSDxh+lCUCiXfn309AK/lvENNm+uzGBUkpdGGmtPp5N9f\n5rHmmxO9rts5ddvdR6u6radoNVo4VtzAhOTwPmvhC/9g0Gu6fR+POU0xg1PNmhgjHSwHyZAH0QUF\nBRQUFLB06VKcTie7du1i2bJlACxfvpzt27ef0/7dbZoXdLkHHBWm59n7l/CLm2ZjtTn4x6dHaGpt\nJ6+onoiOWUr3CcxotvL8O/v4w7/2eK72dh6pBGDe5O63sL1hCHR98FuMZ55pb4PmYMsAACAASURB\nVO2yTdfueQAvfXiAkqpWLl801pND2pebLpnoWZ3rzuvur+G4sPB0VmSlcteV07qlRYQEaVm1JM1z\nF+Bs3HftTB65fZ7X+bRqlYLvLBqLqd1OQ8dMs9XmmlF9a10uFXVtntnzxrNc+DkY3EH/r1/f6XnM\nYrUTHabnyqVpvaYXAYR1LFbpz2eyK/dFXmlNK39fc5D/+csWbHYnV52fztiOqipNxr7XK3TlrkOt\nD1DTZrISqNOwakkaGUlhVNWb+tU+d6RTK1XEBEVS0eoKotttFkxWMxH6zovuCVFpLEmdz8nGEtbl\nfw3ITLQvnCxv5q11ubz68aFu6wp68/6mfP73lWze/Pyo57H9x2txODtbRQv/515caNBr5MJpGBjy\nnOinn36axx57jP/85z8AmEwmNBrXByE6Opqampq+Xn5G7q6AvX2ZL8kcw6dbC9h2oBx9gBqHE5Zk\nJnbMAri+qN1VOGobTRwqqGV6ejQ7j1SiVSvP2IylL96Um+s6W71hZzHzp8Rx8HgdOblVHDheS3pS\nGN9fOaVf7xsZqufmSyby/Dv7KKlqOe1Ct96MpJnowTI17exbol6yIJV3Nhyj3eJKySmsaOLoyXr+\n8/Vx4iID+e6Kifzh7T3UNBpPu4h0KDkcTtZ848ord68BePi2uUxKjTxjO9cnf7CAtdsLudjLhYCh\nBi0atZI9udXsya0mISqI+6/PZMq4SE/ziGZjz5Sm3tjtDmoaTExMCefZ+5d0e+53b+wiv6SRhpae\ntcT9UXxwDHsrDmO0mGi2uM5pYbrud66WpmaxuXAH+yqPABAZKEH0UOt6d+TQibrTbrdxVzFvdATP\nXe9O7u1Yl5Mp+dCjxi9uns367CJS4/u3RkcMriENotesWUNmZiZjxnTeGu8aOHgTSOTk5Hh+Nlsc\nfLKzgSVTQygub0CphON5h1D2sq/FEzXkFsGGXcUoFJAY7PqCqaqpJycnh30FnSe199bvo7oshOLK\nFjISdBw+uN/r39mtttq130NH89Faem/h6Xa0xHVrW61yXRT8/E+bPc+NidTwnUwdB/bv6/d7tza4\nZjpzDp4gWtv7ibrr8XQrKXcFMSfyj1JX7pdrUAfVsaMHmZaiY3e+6/99fXM7v3zB1SHz0swgGmtc\nub+r1+aSX1DKpbN9e7vtWJnJcxEJoFKCylzOiWMV/Xr9/LFw8ED/P5du4UFKapodLJwUzPlTQzA3\nFJKTU0hjm+vCttlo7/XzeaqGVht2hxONor3n9hZXDvrmb/eSHO3/JZ6URteM+6Zd32B3ui5C2htN\nnuOSk5NDi617ektdYTU5pWe3CHm068/ns9fX5XbeHTxWXE/2zt1oVN2/t46Xm3n7m1p0WgVBOhUl\nVS1sz96FVq0g+2AlOo2CluoCcmpPntPvMNyc7TEdDabGAU4TOTlVZ9xWjuPgGtLI6JtvvqG0tJSv\nvvqKqqoqNBoNer0ei8WCVqulqqqK6Oj+XVHPnt3ZPOWNz49wuLic+jYlVruKyFA9c+fM6f11wIm6\nPWzaXcL5sxJZsWw2f133CWqtntmzZ3Oo8gjQgFKpIK+snekTw4FKLlo4gdmzU8/6d7frKvkoeweR\n0fHMnt13Lc96WxFQx/evmMbeY9UEBmiYNTGazPExZ+y+15uJJiuvfvE57U59t+PmlpOT0+vjn+7N\nBowsmDdLirN7yX1MU9JM/G3NQSJDdXy61fUld9X56Vx96RTKa1t57cuNAOzIa+VXdy/35ZD5cOc2\nAO6/bibvbcznJzdkenXn4mz9OrUNm93Ro1mRze7g+Y8/ocVk7/XzeSpX6lMlk9MTmT17UrfnqttP\nsu3oAcKik5g9u3+lCkey6mPN5Ow9QliiKz+aMpg4djyzx8/2fDadTif/KFuD0WoiUh/O0vnS7vts\nnO782a/XlhwEmpiUGsHRwnoabJFkpsUQHR6ISqlgT141727dgUql5Im7FpJ9qII135wgNGYcYcEB\nNLWVsWh6AnPn9v59N1KdyzEVneQ4DpzTXYwMaRD9xz/+0fPzCy+8QGJiInv27GHdunWsXLmS9evX\ns3ix9yfy+o522i1GC6Z2GxlnSKD//hVTCAnScuVSV1m6QJ3ak87hzhu+aF4y67OLPLfQziUfGvDk\n1PYvncOVRnG6EnfeCtJriAjRsfdYDX95fz/3/teM026bW1hPUWULK7JSMJqtKBSucjvi7ESF6Xn4\ntnk4HE5Xh7/qFm64yNWyuWvpPa1G1evr//VFHrmF9Tx2x/xB7ehXUNbEgeO1zMyI5qL5KQNSn7m/\neisBCKBWKQkzBNDcz5zoqnpjx/56Lm6MjQjqto2/61qhI1DjuvAO13dP51AoFOg1OoxWEynhp29n\nLwZPdcfncfncZI4W1vPiBwcACA7U8NMbZvH3jw7iBB6+bR5TxkV6ut5+saOIxI76+JLKIYTv+Dw6\nuv/++/nlL3/Ju+++S0JCAldddZXX+2hpcwWdFpsDu8N5xpzHUEMAd6yc6vm3u8at1WbnZHkTwYEa\nrj4/nfXZrrJw8ZFB55xH6V5Y2Grqx8JCk6XbawbCZQtTWb0ul3XfFrJy8TiSYntf1fvCe/soqmzh\nvBkJnoVZUsD/3CmVih7NWgJ1aoIDtbQYLT1u4QI0NJt5e72rosfeYzU9ajMPpP90lH5ctbTveudD\nLTJMz8myxn6lepXXuFIRYnsJyt1rJLrWo/Znce4guqXaEzyH63pW83F3NQzS+H+e+HBUVW9EH6Di\nwnnJhARpKKxoobymle0HK3jqtR0ALJwe7/nbz5wQQ2xEoKcMpEatHBW1z4UYrnzWJu2+++7jyiuv\nJCoqitdee43Vq1fzzDPPoFL1PiPXF/fsscXqyv1zV6Por8AADW0mK8+uzqG6wcS8KXEkRBu460pX\noH1x1rnPynm3sNAVaA9kh7XrL5rAg7fOBeDzbb3nzlXUtlFU6TqWTW3ttJltBOl8fp3ltxQKBa89\nehGTx0a4ahlbuy+gW/ttoefnDTuLAVeFj5PlTbRb+7fYrj9OlDayZW8ZSbHBzJ44vFb5R4bosDv6\n93eTX9KIQgHjeqlVHd6xMHK41uQeaNGBEagUSipaq2kwu+qTh+l7HpcrJ10MuBYZ+juj2dqtdONw\nUN1gJKYjdWPBtARuvHgC/33TbO67tvNuYWaXBhnBgVr+/Itlnu+TRdMTpI2zED40/HoNe8lssVF5\nSv1Xb4NovU6N2WLn24MVTE+P4kfXuE5gKxen8deHlnPVAMzOuUvR9Ock7q7OMZAz0QBZU+KIDNWx\ncXdJrzVJdxzuXEDW2NJOi9EiudCDTKdVEx3mSj84tdTdnrxqVEoFMRGB7DhcSV2Tie//vy+4/7mv\n+VfHDPW5ajNZ+f1bOdgdTu5cOdXnFUJO5S6B98rHh9h9tPfmQ+BqiJRf0khijKHXajJBeg1qlXLU\nBNEqpYoYQxSVLdU0mlyLKnubib58woW8dMVvmB43qcdz/uYX/7eZmx9fh93e/+Y9A+l4SSMfbT6B\n0+la9NnU2o7RbPO0cu7qvBmdi+9nnlIVSh+g5nf3nseiGQnccqn//38TYjgb0UG00+nkrXW5OE8p\n/RrhZepFYMdsa0ZSGI/cPq9bfmpClGFAclFVKiVjog2cLG/GfoZate5mKwb9wM1Eu8dw6YJUTO02\nvsop7fF89qFKz89b9pbRbrEzIUXKXg02d0fFrgGe1WbnRGkTYxNCuOK8sdjsDl7/5IhnG/cdA3Cl\nKGzdX+b5cvbG8+/spbS6lSuXpjFrmM1Cg6vee2CAkq9zSvnfV7L57+c39xoElVa3dKyH6P3zqlAo\nCDNoaRhmM5GDKd4QQ4uljZLmcgI1egLUPc8nSoVyVJS2M7fbKKlypfuU1vimAsl//99mXvnokKfR\n0oky1x2C3u6caNRKHr8zi+9fMaXXNQNJscE8+L25vQbgQoihM6KD6Hc3HGPNNydIijVwyYJUz+Mz\nMryr7bs0M5H5U+J44q4FgzrzOnlsBKZ2m6dt9+m0GK3oA1Ro1AP/v+firBTUKgWfbTvZLehqbGnn\n6MnO8nefdqR8XDiv/+2uxdlxNyrpGkQXlDVhszuYkBLB+bOSUCkVnk6VAPUd9dAPHK/hJ3/4mqff\n2N0tsO4Ps8XGzsOVpMaHcNvl/as7PtRmZETzi6vi+d295zEzI5qT5c3dOo265Ra6auf2ddEXFhxA\nY0v7WV1sjETuvOgGUxOxQWdf79wfHO5ybjvZEbwOhdpGEy++v5/mNoun0c+Rk67SocdLGgFO20lu\nzqRYrjo/fWgGKoQ4KyM2iP50awGr1+USE67nybsXMqaji09aYmivbYn7snRWIr/6/nxPntlgmZjq\naqvrPom6df1St1jt1DeZCRrgWWi38GAdC6cnUFLVwspffMwbnx/h2Q/LWb3uKA4n3UqaRYfrmZDs\n/7NUvuZuZNLQJYh2NzuZkBJOWHBAj0WFdc0mPt5ygkf/+q0nX7ih2Yw3TpQ2YXc4mZ4R1a/W9b6i\nVCqYMi6SWy5z3br+238O9ui+uf2gq/b6zIzTVyoIC9Zhsdoxtfe/A+JIFmfoPBYxhtEdRO/rcuFV\nUN73JMZA+veXeaz9tpCvcko8dzxzcqswtds4XuoKos9UTUoIMXyN2CD6r/85SFhwAE/ds5CoMD2X\nZKVw8yUTefLuhb4e2mlN6gii3Z3YAD786jjXP/I5RRXNWG0O/vL+fhpb25k/JW7QxnH5onGen9/b\nmE+b2eGpRHLx/M6Z5+TY4GGXI+uP3EF0cVUze/Kq+XjLCd758hhqlZJpHR0T3XcEgnRqpqZF0tRq\n4e9rDhESpGXZbFd5sv5Ufukqr8j1OZyYEjFQv8qgykgKIzU+hIq6tm5tyasbjOw7VkNGUhgJHRfT\nvfHM+I+SlA53mTuA2FEeRBdXdm1q0oBtCPKijWYr3+xx3T062mXi5MjJeq57+DN2HKogIiRgVHTQ\nFMJfjdjSC0F6DU/evYCEKNeXpi5AzfUd9XeHqzHRBoIDNZ5ZxsMFdbz+6WEA3v4il7omM3lFDYxL\nCOW2yycP2jgmjY3gybsX8Na6XPKKO1vIJscFdwuo4k9Tv1cMLHdw9/HmAj7eXOB5/CfXz/QsrJsz\nKZbEGAMZSWHd1gDc918zMFvsfJVT6sml76/DBZ2z3SOBQqHgt/eex/+8sIXiyhZycqvYebiSDbtK\ncDicLDtDE5WwLhU63OcNfxZv6AyiY0Z5OkdjSzs6rYqIEB2HC+q4+bG1ZE6I4boLxzO2l5zkgfD1\nnlLMFtdC2APHazCabQQHajh/dhLFlc2UVrf2KHsphBhZRmwQ/ZPrZw7ayW+wKJUKJqZGsOtIFfXN\nZg4V1Hqe237AVRljaWYi9147Y9AbnGROiCEsOIBH/7qdVqMFuwOypsZ3S2mJi5IgeiikxodwwZwk\nrDYHiTEGxkQbGDcmtFstb7VKyV8euAClUsHrnxz2PJ6eFEZRhWuWzV0asT+27C1j55FKUuKCiQ4b\nOTNhBr2GVUvS+PO7+3ji79kAxITrWbU0jcsWje3ztWGjrMxdVGAEaqUam8M26meiG1vNhAUH8D/f\nm8sXO4rYdaSSrfvLsdoc/Or78wf0vTbvLWVsQihrtxeiUioYnxzumTiZNSGWu6+cNqDvJ4TwnREb\nRC+YluDrIZyVSR1B9NHCeqrrXY0fVmSl8M2eUr6/ciqXZKUMWQrF2IRQVv/vpbz76Ta+2G9k+Zyk\nbgsrZSZ6aKhUSn5246wzbuduetO1hGNEiI66ps6Onf1xsryJP72zF32Ail/eMmfEpex0zQ//2Y2Z\nLM1M7FcFHfeMf8MoCaKVSiWxQVGUtVSO6oWFDoeTxlYL45PCGDcmlHuuns4PrprGLU+s65bmMRD2\n5lXz7OrO9sCLpicwIaUziA4NHtx1N0KIoTVig+iRyp0XffRkPdUNrpavd66cyg+vmeGzxV1p8Tpe\nuXxRj8fjZSZ6WArQdpZgVCgUnnribSYrb649Sm2j6bRBeVNrO//v9Z1YrHYeuX0eyXEhQzLmgRQR\nouPh2+YSFaY/bUm73ri7Fp4sH7rqDL42KSYDs62dqKDIM2/sp1pNVhwOp+dOBLj+bpJigzlcUEe7\n1U6AxvsmX6eyO5z88/Mj3R67ZEEKKmXnBV6YNEYRwq9IED3E0pPCUCkV5BbW02qyEBKkRRcwPP83\nxEoN0mHJneaxYJqr3a+7s2VTq4UvOzob/vi6mahPmZ212x088+ZuquuNfHfFxBHdLvhs7kRNSIkg\nKlTH5r1l3Lly6rD9uxtId8y6HnvmtaiV5x4kjlSNLa47NWGnVG1Kig3m0Ik6yqpbGTfm3FID39mQ\nx+q13RsgxUcFMT09uls1GAmihfAvI7Y6x0il06pJSwzleGkjZTVtxIQPv3zU+66dwXUXju/WdEYM\nH5PHRvKHny7hFzfNBvCk4Bwt7KyFW99LubsNu4o5cLyWrKlxXH/h+KEZ7DCiUiq4aH4KpnYbW/aV\n+Xo4Q0KlVKFVje6uo+5qLKcGsMkdF6PFVeeW0tHYZvME0MGBGv720IXMzIjme5dNQqlUdOugKS26\nhfAvEkT7wMTUCE/Xwujw4TfbuyIrVdrJDnMZSeGeixxVxxd114WFdY09g+jCCld93BsumuDJrx5t\nLpyXjEIB63cU+XooYoi4F5J2TeeAzjs6p9Yc99bOY64OiJcuSOWZHy8mPiqIp+5Z2K11t9upd4eE\nECOb/EX7wOTUzvzEmGEYRIuRJziw+2xjbZOpxzbuhayjOU0nJjyQ2RNjyStqGFW50aNBc5sFs6Vn\nI53TBdHJAxBEm9pt5BxvI8wQwF1XTiUxJrjX7Z77yRK+s2is1910hRDDmwTRPjBncqxnFqRrGTMh\nzpb+lPzeulOC6NLqFqobjOgD1N1uL49GF89PAeCLbJmN9hdWm4ObHlvLIy9t6/Gcu3rNqekcYcEB\nGPSac6rQsWlXMe1WJ5ctTEWjPn362/jkcO65enq/qsgIIUYO/19ZMwwFaFT8+RfLOFbUQEaytHwV\n5+5kRyvjcWNCKShrorZLOkdObpWnpnJKnHShnDs5loiQAL7KKeE754097eyh8J3jpY1YrQ4mje29\nm2a71U6byUpEiGuxYGm1KxA+VtyI0+lEoVDQbrXzr/W5rPnmOBq1koRTqg25K3TkFTdgtdn7DIJ7\n43A4+WRrASolXLIw1ftfUggx4sllsY+olAomjY2QHDkxINydDa84z9VwpGs6x+4jVZ6fh2MO/lBT\nq5RctnAsbWYbP/79Vxw6UXvmF4kh9dSrO/jlC1u44ZHPePGD/TgcnW069+ZVc/uT67nz119SUdsG\ndOb7A1Q3mDhcUMf9v/+KD746TkxEIE/clUV4iK7H+yTHBeNwOCmvafN6jHvyqimraWNaaiDhwT33\nLYTwfxLBCeEH/veuLO67dgbL5iSjUiqoa+wMoltNnQsOo0ZQd8LBdO3y8fz0hkwcTnjurRysNruv\nhzSiORxO3lx7lCMn68688Rm0Gi2e6jJtZhtrtxfytzUHcTqdGM1W/vTvvbQYrVhtDk+VlaIuQfSa\nr4/z0Itbqahrc3W3/O9lTE+P7vW93Ol0b3+Ri8Xq3WfA/d5zM/y/hbwQoncSRAvhB5LjQliRlYpK\nqSAuMojCimZP8Nx1lq6lrX9dDf2dUqlg+dxkLpqXTG2TmRNlssjQW7mF9WzbXw7AibJG3t1wjP95\nYStb9pZhNPe/Bf2p3J/X5XOT+OtDy0mND+GzbSd5c+1RPtlaQH2zmZWLx6FWKdi0u4TdR6vILWrw\nvP7TbSdxOuHJuxdw56q+64GPTXA1G9p+oIKNu0u8Gmd+SQP6ADXxEaN7jYEQo5kE0UL4mQvnJWO2\n2PlyRxE2u4PS6lbPc1edn+bDkQ0/U8e5KuXkdQnCRP+8/J8D/O6NXXy5o4hjxY2ex59ZvZtPt548\n6/26g+iZGdEkRBl48u4FJEQF8d7GfN798hg6rYqbLpnInEmxlNW08r+vZHO4oI4gvcazePD82YnM\nHB9zxvealhbFtcszADhR2niGrV1aTVaMZiul1a2kJ4ahHOVrDIQYzWRhoRB+5pKsFP79ZR6fbC1g\n5vhobHYHF85N5v7rZ476RYWnmpDiWrgmQXTf6ppM7DhcyfGSRpLjQrhoXjJVdUYA/vL+fpLjui/O\nPJfj6V4km5rg6iIYHqLjqXsW8j8vbKW20cSKrBQCdRp+csMsluRVU17bSnlNG7MmxJA1LZ7C8ibP\na89EoVBw48UT+fCr4xSWN59x+8MFdTz4l62MiTbgdLo60ELPmuxCiNFBgmgh/IwhUMvyOUl8vr2Q\n1z85DLi+7CWA7ikuMpCQIC15RfW+HsqwY7M7+P3qHIqrWnrUUn53wzFaTVZiIgKpbzJzsrwZfYCa\nfz11Kbc9+QWFFWeXHmO3OzhwvAaNWsmY6M5c45jwQH59z0I+3lLgmTk26DUsntmzoYn7wqi/NGol\niTEGiiqbcTicfTYiyi10fU7Kalx3dzISw8BR6dX7CSH8h6RzCOGHVi5xpW3sPVYDwLS0yL42H7UU\nCgVpY0KpbjBhau/ZqGM0K6lqYduBckqqWpiREcUPrprG//33+SyakUCL0ZVbPzMjmp/ckAnAxJRw\nVCol4zqOZ4vRgtFspdXY/zz8r3JKqawzcuG8ZDTq7l9PCdEG7rl6OpGhA784NiU+BLPFTlFlM06n\ns9tzOw9XelI9yjuqgWRNjePSBanMnRI74GMRQowcMhMthB8aE21gzqRYdh+tItSglaY+fYiNDAJq\nqK43khIf4uvhDBu1HRVevnfZJK5dPt7z+LzJcZ4FhVFhes6flUhkqI7YjvKJ48aEsievmh///ivq\nm81o1Cr+8djFBAdq+3w/m93Bv7/MQ61Scl2X9xsKYxNC2by3jPuf+xqNWsnUcZE8fPs8SqpaeOq1\nHegD1Pzhp0soq2lFoYBf3jLH67rSQgj/IzPRQvipKztmo6elRUkqRx9iwl0zm1UNRh+PZHhxB9Gn\nlkXsmv8c3fHctLQoYjrayWdOcJWTM7XbCDUEYLHaPfnTfdm0u4SqeiOXZKUMeSnGC+cms3LJOOZP\niSMmPJC9x2r4ZEsBb35+FHD9Lr/95y5KqlqICQ+UAFoIAchMtBB+a3pGFA/eOpfxSeG+HsqwFhfh\n6mTXn0BvNKk5TRCdGNOZqxzdS7A7PT2ad359GTqtmvc2HWP12lyaz5DSYTRbeefLPDRqJf/VkfM8\nlMKCA7hr1TTPWO789Qbe6AigJ6VGkJ4UxidbCgBIT5Qus0IIF5mJFsJPKRQKFk1PIDpcGqz0JSbC\ndXyqZSa6G/dM9KmBsk7bOfcSdZrPVqBOg1KpICTIVXKuuY/65N8eLOf6Rz6nusHEpQtSByXn2RuB\nOg0rslI8/547OZbbL5/CxBTXxWhCdNDpXiqEGGUkiBZCjGruNISqegmiu6ptdJVuiwzt2dJ6Skd9\n7TOlXYR05EE3t7X3+rzN7mBXR1v6iJAAn8xC96Zr1Y/MCTFo1EoevHUui2YkcMGcJB+OTAgxnEg6\nhxBiVAszBKDVqCitbsXUbkOnVbHvWA3pSWFnXAznr17+8AAHT9QSFhzQa/7vk3cvwGJzEKDpOzc4\nJMgdRLtmok3tNixWO6GGAA4cr+GJv2djtTkI0Kp47VcXo1INj3mdsQkhBAdqMbXbGNdRczoyVM+D\n35vr45EJIYYTCaKFEKOaQqEgMcZAQVkTNz++jtgIPSVVraxcPI67rpzm6+ENOafTyWfbXB0HG1t6\nn0HWalRozxBAQ/cg2ul08pM/fE1FbRsRIToaW9txOFzl5NLGhA6bABpcn4mXH1yO3eHos260EGJ0\nGz5nLSGE8JGHb5vH9ReOJzrMFUAD5Jf0rw20v7HZHZ6frz4//Zz25Q6iW9os1DWZqahtIyw4AKUC\nTwANrjzk4SYkSEt4cM9UFiGEcJOZaCHEqBcbEcjNl07ipksmUlHbxr3PfoXRbPX1sHzC1G4HXA1F\nbr9iyjntyxDYORNdUO7qYnj5orFcf9EEzO028ksaeeLv355zsC6EEL4gQbQQQnRQKBQkRBtIjDGM\n2mod5o7OjQMxO6xRKwnUqWlus3CyzBVEjx3jyjHWBaiZlh7F+7+7XOqYCyFGJEnnEEKIU0SF6TGa\nbbSZus9Gf7OnlDc+P+KjUQ0Ns8UVRAdoB6ahSEiQ1hVElzcDMDY+tNvzEkALIUYqCaKFEOIU7tra\n7oYjbr9/K4f3NuafdsGdPzBbXOkceu3A3KgMDtTS0GJmx+EKQg1aosIkz1gI4R8kiBZCiFO4G4zU\ndEnp6JojXVTRPOhjsNocvPrxIYoqB/+9ujJ1pHPoAgYmiI4K0+N0ukrE/fy7s2XmWQjhNyQnWggh\nThEd7mrA0nUm2p2OAHCyopkZ46MHdQx7cqtY880J1nxzgg+fvgKNemjmPNw50fqAgUnn+P4VU1g6\nK5F5k+OG7HcQQoihIEG0EEKcYkxHa+dvD1bQ1GohKlRHYZcZ4aGYiS6qbPH8vGFnEZcuHDvo7wmd\n6RwBA5TOERcZRFyktMoWQvgfCaKFEOIU6YlhjIkOYt+xGvYdq+nxfOEQpFgUdgnUN+4uGcIgumMm\neoAWFgohhL+Se2tCCHEKhULBRfNSAEhPDOW+a2eycsk4brx4AilxwZRVt3Tb3ul0cvBELRW1bQM2\nhsKKJgJ1amZmRJNX1EB5beuA7bsv7jrRA5UTLYQQ/krOkkII0YuVS8YRqFOzODMRg76zZvKx4gaK\nKlswmq2eWsrbD1Twuzd2AfDEXVnMnhh7Tu9tbrdRVt3KxNQIls1JYl9+DV/nlPLdFRPPab/9eu+O\nmWidzEQLIUSfZCZaCCF6oVGruHTh2G4BNLiqTADUNZk9j23dX+b5ecPO4nN6X4fDyf97fQcOJ0we\nG8mCafEEaFV8nVOK0+k88w7OkXmAq3MIIYS/kiBaCCG8EBnqqnNc3xFErJDiawAAIABJREFUW212\ncnKriY0IZEy0gZ2HK2nt0qRl55FKXvnoEAdP1PZr/1X1Rvbn1zJ5bAQ3XjwBfYCarCnxVNS1kVfc\nMPC/0CkGuk60EEL4KwmihRDCC+4guq7ZVf5uzTcnMLXbyJoaz/K5SVhsDh59eRsny5toNVl5+p+7\n+GjzCV76YH+3/TgcTo4VN7Anr7rbDLM79zlzQgxajSul4vzZiQB8nVM66L/fQNeJFkIIfyVnSSGE\n8ELXdI69edWsXnuUyFAd11yQTnCgloraNr7cWcxP//A1GcnhWGwOAEqqWj2dDjfsKuaL7CIq6lwL\nER+8dS6LpicAUF7jeiwhqrMsXOb4aMIMAWzeW8adq6aiVg3e/IfkRAshRP/ITLQQQnjBPRN95GQ9\nz67ejVKp5KFb5xIerEOtUnL/9Zk8fmcW8VEG8ooaUCoVfGeRqzzdnb/5ktufWs8/PztCXbOZyWMj\nAHj9k8PY7K5g2z0TnRBl8LynSqVkwbR4WowWCsqaBvX3c6dzyEy0EEL0Tc6SQgjhhYgQVxC9+2gV\nAPddO4MJKRHdtpkzKZaZ46P5cmcxOq2KmPBAPtt2knaLnaTYYC5dkMqyOUkY9Br+9O89bNxVQlFF\nM2mJYZ0z0dHdG5QkRLuC6tpGE+OTwwft9zO321AqQCvdBYUQok8SRAshhBdCgrSeny9dkMqKrNRe\nt1OrlFy6wPWc1eZgYko4Gcnh3LFyKiqlwrPdhJQINu4q4WR5kyuIrm0lLDjAUz7PLTrMlUZS26UV\n+WAwt9vRBahRKBRn3lgIIUYxCaKFEMILCoUrPcNmd/CDq6b16zUatZJn71/S63PjEkIAOFHWROW6\no1TWGZk1MabHdlFhrhnwmkEOok0Wm+RDCyFEP0gQLYQQXrrn6ukDtq+UuBAUCvgiuwiLzUF8ZBA/\numZGj+2iwnrWpx5opdUtVNS2MS0tatDeQwgh/MWQBtFms5kHH3yQuro6LBYLP/zhD5k4cSIPPPAA\nTqeT6OhonnnmGTQazZl3JoQQfkAXoCYhykBZTStJscE89YMFngogXYUF61AqFYOazvHZ1pMAXLYo\nddDeQwgh/MWQBtGbNm1i2rRp3HHHHZSXl3P77bcza9Ysbr75ZlasWMGzzz7LBx98wA033DCUwxJC\nCJ+6bGEqe4/V8NMbMgk1BPS6jUqpICJER02jCbvD2S2veiAYzVY27i4mMlRH1tT4Ad23EEL4oyFd\nfn3ZZZdxxx13AFBeXk58fDy7du3iggsuAGD58uVs3759KIckhBA+t3JJGo/fmXXaANpNH6CmttHE\nPb/bgN3Rewtwd9tub23cVYKp3c5lC8cOah1qIYTwFz45U95www388pe/5KGHHsJkMnnSN6Kjo6mp\nqfHFkIQQYthLTwwFoLLO6Gk73tWGnUVc+/BnHC6o82q/DoeTT7cWoFErWZGVMiBjFUIIf6dwdu03\nO4Ryc3N54IEHaGhoYOvWrQAUFxfz4IMP8vbbb/f52pycnKEYohBCDCtNbTbe2FRLXYuN718UTXJ0\n58x1XYuNP39SCcDCSQYuzgzr937zy8289XUtM8cFcmVWxJlfIIQQo8zs2bN7PDakOdGHDx8mMjKS\nuLg4Jk6ciMPhQK/XY7FY0Gq1VFVVER0d3a999fbLiLOTk5Mjx3OAyTEdOHIsuzOpTvLyhwcIj0lm\n9qxEAHJyq/jz29mebSampzB7dnqvr+/teG48shuAW1fOJT2p/8G3kM/nYJBjOjDkOA6c003eDmk6\nx65du3jttdcAqK2txWg0smDBAtatWwfA+vXrWbx48VAOSQghRpTocFfljpoGI+BaEPjqx4e7bWPy\nIi/a4XCy71gNUWF60jrSRYQQQpzZkAbRN954I3V1ddx0003cc889PPHEE9x///2sWbOGm2++mebm\nZq666qqhHJIQQowoMeGBANQ0mCiqbObnf9pMSVULlyxI5cm7FwDeBdEFZU20GC1kjo+WLoVCCOGF\nIU3nCAgI4LnnnuvxuHt2WgghRN/c7b/XflvIppwS2i12rlyaxq3fmUxFbRtw+iD6cEEd1Y3Wbo/t\nz3ct5p6R0b9UOiGEEC7SsVAIIUaQIH1nMyqlQsFDt85l4fQEwFUCD8Dcbu/xuhajhUde2obD6aSs\n9RA3XTIRfYCak+XNAExICR+C0QshhP+QIFoIIUaY5LhgiitbeOKuLCaPjfQ87g6ie5uJLqlqwe5w\nolDAR5tPsG1/GXdfNZ2ymhY0aiXRHWkiQggh+keCaCGEGGEeuW0eRrOtRyUNnVYFgNnSM4gurW4F\n4NLZYYSEx/L+pmP85h87AUiJCx7wDohCCOHvpC2VEEKMMAnRhl5L0alUSrQaFcZeZqLdQXRcuIab\nLpnIk3cv7LY/IYQQ3pEgWggh/Ig+QNVr6+/S6hYAokJcNyCnjOtMAxkjQbQQQnhNgmghhPAj+gB1\nrznRpdWthARpCQxwpXwolQqUHSkcWo1qSMcohBD+QIJoIYTwIzqtusdMdKvRQlVdG8lxwd0e/92P\nziM9KYyL5ycP5RCFEMIvyMJCIYTwI+6ZaKfT6WmecuB4LQ4nTE+LAto8204aG8Eff7rURyMVQoiR\nTWaihRDCj+gD1DicYLE5PI/t62ioMnN8jK+GJYQQfkeCaCGE8COeWtHmzpSOA/m16APUjE/uWdFD\nCCHE2ZEgWggh/IguoHutaHO7jfLaVtITw1Cp5JQvhBADRc6oQgjhR07tWlhc1YLT6WqoIoQQYuBI\nEC2EEH6kRxBd2QxASnyIz8YkhBD+SIJoIYTwIwa9FoD6ZjMARZWuJispcRJECyHEQJIgWggh/Mjk\nsRGAazEhQFGFayb61BrRQgghzo0E0UII4UcyksII0qnZe6wagMo6I2HBAQTpNT4emRBC+BcJooUQ\nwo+oVEqmZ0RTWWekoraNuiYTUaE6Xw9LCCH8jgTRQgjhZzLHRwOwZV8ZFpuDyFC9j0ckhBD+R4Jo\nIYTwM+7OhBt2FQMQKTPRQggx4CSIFkIIPxMfFURcZCAVtW0AMhMthBCDQIJoIYTwQ+7ZaICoMJmJ\nFkKIgSZBtBBC+CF3XjRAZIjMRAshxECTIFoIIfzQ9IxolArXz5EyEy2EEANOgmghhPBDBr2GCSkR\nqFUKyYkWQohBoPb1AIQQQgyOn96QSU2DCX2AnOqFEGKgyZlVCCH8VEK0gYRog6+HIYQQfknSOYQQ\nQgghhPCSBNFCCCGEEEJ4SYJoIYQQQgghvCRBtBBCCCGEEF6SIFoIIYQQQggvSRAthBBCCCGElySI\nFkIIIYQQwksSRAshhBBCCOElCaKFEEIIIYTwkgTRQgghhBBCeEmCaCGEEEIIIbwkQbQQQgghhBBe\nkiBaCCGEEEIIL0kQLYQQQgghhJckiBZCCCGEEMJLEkQLIYQQQgjhJQmihRBCCCGE8JIE0UIIIYQQ\nQnhJgmghhBBCCCG8JEG0EEIIIYQQXpIgWgghhBBCCC9JEC2EEEIIIYSX1EP9hs888wx79uzBbrdz\n9913M23aNB544AGcTifR0dE888wzaDSaoR6WEEIIIYQQ/TakQfSOHTs4ceIE//73v2lsbOSqq64i\nKyuLm2++mRUrVvDss8/ywQcfcMMNNwzlsIQQQgghhPDKkKZzzJs3j+effx6A0NBQjEYju3bt4oIL\nLgBg+fLlbN++fSiHJIQQQgghhNeGNIhWKBTodDoA3nvvPc4//3xMJpMnfSM6OpqampqhHJIQQggh\nhBBe88nCwg0bNvDBBx/w6KOPdnvc6XSiUCh8MSQhhBBCCCH6bcgXFm7ZsoW//e1vvPrqqxgMBgID\nA7FYLGi1WqqqqoiOju7XfnJycgZ5pKOLHM+BJ8d04MixHFhyPAeWHM+BJ8d0YMhxHFxDGkS3trby\n7LPP8o9//IPg4GAAFixYwPr167niiitYv349ixcvPuN+Zs+ePdhDFUIIIYQQ4rQUTqfTOVRv9u67\n7/LCCy+QmprqSd14+umneeSRR7BYLCQkJPDb3/4WlUo1VEMSQgghhBDCa0MaRAshhBBCCOEPpGOh\nEEIIIYQQXpIgWgghhBBCCC9JEC2EEEIIMUJJVq7vDNsgurS01NdDEEIMkfb2dl8Pwa8YjUZAvlzF\n8GWxWHw9BL+Ql5dHRUUFIH/vvjDsguiysjIeeughnnnmGdra2nw9HL/x1ltvSb3IAfThhx+yc+dO\nzGazr4cyopnNZh5++GGefPJJ3n77bV8PZ8QrKSnh0Ucf5amnnqK0tFSaVw2QPXv2UFVVBUigMhDW\nrFnDfffdx6FDh3w9lBHLaDTy8ssvc8stt/D0008DyN+7Dwx5s5W+vPnmm3z66adcd911XHPNNb4e\njl/Ytm0bH3zwATabjSVLlvh6OCOa0+mkoaGBJ554AovFQlpaGkqlkjlz5vh6aCPW+++/T0BAAPfc\ncw8HDhzA4XCgUCjky+As/fa3v2XmzJkkJibS3Nzs6+GMeIWFhfzsZz9jzJgxaDQannnmGTQaja+H\nNWJ9++23vPXWWwDodDoSEhJ8PKKRaevWrbz44ossWLCAl19+mZMnTwLgcDhQKofd3KhfG1ZBtM1m\nIzY21hNAHzx4kHHjxhEUFOTjkY1MVVVV/OAHP+C5555jxYoVQOcfmbRY955CocButwPw8ssv+3g0\n/mH37t1cfPHFxMbGkpycTFNTE+Hh4b4e1ohUVVVFcHAwd999NwDFxcUYjUYCAwN9PLKRpeu58fjx\n41x88cX88Ic/pL6+3hNAy/nTe3V1dbz//vtcf/31LF68mGeffZacnBwuuugiXw9txFGr1Tz99NMk\nJSWxdetWtm3bxjXXXCMBtA+onnjiiSd89eb5+fk899xzzJkzB51OR2ZmJq+99hpms5l33nmHTZs2\nsXXrVlQqFWlpab4a5ohis9mwWq2o1WoMBgMtLS04nU5mzpzJSy+9RF5eHhEREYSGhvp6qCOCzWZj\nz549REZGolarycvLo6ioiOnTp/P666/zzjvvYDabCQ8Px2Aw+Hq4w1pjYyNPPfUUNpuN9PR0ANra\n2jh+/DjZ2dm8//77bNy4kcLCQubPn+/j0Q5/7vPnvHnzCAgIwGAw8Mc//pGgoCDWrFnDhx9+yJYt\nWzAYDKSkpPh6uCOCzWbDZrOhVrvml9asWUNDQwPnn38+b775JgcPHiQqKkrOn/3kPn+Gh4cTEhLC\nihUrPJ/F/Px80tLSiIuLk4uSM3CfOy0WCxkZGSQmJno+gwaDgUOHDjFp0iSZcPQBn1627Nmzhw0b\nNrBz506sVisAd9xxBy+++CIrVqzglVdeYeHChezevZtjx475cqgjQlNTEytXrqTrddGdd97J6tWr\nufPOO7HZbJSVlfHHP/6R7Oxs3w10BHnyySd5/vnn2blzJwCTJk0iPz+ft99+G4PBwKpVqzh8+LDM\nTPfD8ePHqaioYPXq1Z4Z/bCwMIxGI1arlX/+8588/PDDfPHFF7KwuB/c58/s7GzPIq0f/vCHvPzy\nyyxYsIBXX32VzMxMsrOzKSgo8PFoh7/ezp/XXXcdeXl5PPHEEzidTsrKynjuuefYv3+/7wY6grjP\nn13X47j/9svKyjyPS55539znzrfffttz/Nz/ra+vx263yx08HxnyILqqqsqzEt9kMnHjjTfy3nvv\nUVNTA8All1zC448/TlZWFgAXXnghFRUV6PX6oR7qiFNTU8OMGTPYs2cPeXl5AERGRnLrrbeSmZnJ\nj3/8Yx588EHGjBnDiRMnADl59cYdkLS0tFBYWMj06dPJzc2lsrISvV7PqlWrWL9+PRdccAFLlizh\nu9/9Ls3NzZSUlPh45MPPgQMHPD9nZ2dz2223kZCQwEsvvQRAZmYmoaGhNDU1UV9fz7hx45g5cyYb\nNmzw1ZCHtdOdP+vq6gDX+VOn03HkyBEALr/8ckpKSggICPDZmEeK3s6fYWFhZGVlkZ+fzw9+8AMe\neeQRIiMjPZM6cv7sqbfz59GjRz3f8e5jtmrVKg4ePIjRaJQ0hF6c7tx56oRNeno6eXl5fP3110Bn\ncC2GxpClc2zbto17772X/Px81q1bx6WXXkpKSgrLli1j27Zt1NbWMn36dFQqFRkZGRw+fJi4uDj2\n7dvHzp07WbZsGSEhIUMx1BGjqqqK1157DZvNRkxMDBUVFSxbtgytVsu7777LypUrAdfs6Zw5czwL\ntgoKCqipqWHBggVyC62Lqqoq/vznP7Njxw7i4+OJi4tj6tSpJCUlceDAAZxOJxkZGUydOpWNGzcS\nGhrKhAkTqKys5ODBg1x99dVyPDvk5uby+OOPs2nTJvLz83E6nVx77bWkpKSQlJTEq6++yqJFi4iN\njUWlUtHa2kp2djaxsbGsXbuWK6+8kri4OF//GsPGmc6fNTU1TJ8+HY1Gw9SpUz3HNy8vj127drF0\n6VJJQThFf86fWq2WiIgINm/eTHx8PElJSZSWllJeXi7nz1P05/yZnp7uCZibm5upqqoiKChIFhh2\n0Z9z53nnnUdoaCgWiwWVSoXBYODNN9/k6quvlguSITYkQXRzczN/+9vfuP/++/ne977HmjVrqK+v\nJz09ncDAQMaMGcPq1auZNGkSMTExAPzrX//itddeY8eOHfzsZz8jIyNjsIc5Irhzx/bs2cOTTz5J\nUlLS/2/v3oOiug44jn93V3YX3IVddnF5mPASlIAUliJoVeRhhjxEgiYS4xDbSdphmoY+pmOcdtLW\nRpvYaJORpLExNs3EJqQm5CGmxIiiFuMSg4BFIg9Dg5KFiDyCII/d/mH3CibTSFiy6J7PP44jOucc\n7/3dc889D2prayktLSUvLw+tVovZbOb555/Hz8+P8PBwZDIZDQ0NbN++ndOnT1NSUsLKlSu5+eab\nXV2dKaOvr4/169cTFRWFp6cnpaWl2Gw25s2bh7+/P01NTZw9exadTofRaCQ0NJQTJ07w9ttvs3fv\nXpKSkoiLi3N1NaaM4uJidDodTzzxBCMjIzz55JOkpaWh0WgwGAycO3eOAwcOkJGRQWBgINHR0dTX\n13Pw4EHS09NJSUlxdRWmjGvJz127dkn5OWPGDLy8vKisrOS9996joKCAyMhIV1djShhPfhqNRsLD\nwzEYDHh7e7Nz504+++wzSkpKyMnJEfPMR7mW/GxtbcVgMGAwGADw8PDg/fffR61WExERgUKhcHEt\npobxZKejzXx9fWlqamLWrFlisPFbNmmd6J6eHoqLi/H390ev11NSUsLNN99MWFgYERERlJaWYjQa\nCQgIwGQy8Z///IempibCwsIoLy8nLy+P7373u+Tl5WEymSajiNelgYEBPDw8qKmp4cKFC6xfv57U\n1FReeOEFpk+fTlhYGHK5HL1ez5///Gdyc3OlEei+vj7Onz/PunXriIqKcnVVpoSOjg6mT59OW1sb\npaWlbNiwAbPZzMWLF6mpqcHHxweTyYSXlxcnT55EqVQSERGBt7c3CxcuxGAwsGrVKmn6kTvbu3cv\nn3/+ubRifM6cOYSHhxMSEkJLSwslJSXcfvvt2Gw2wsPDefPNNwkICKC5uRmVSkV6ejrp6enMmTMH\ncO8dEL5pfoaEhHDw4EGWLVtGYmIiWVlZIj9HGU9+Pvfcc+Tm5gIQFhZGcnIy/f39PPjgg0RHR7u4\nJlPDePNz2rRpRERE0NXVhY+PDwaDgcTERLefrjne7CwuLiYwMJDm5mZsNhuBgYGkpKSIDrQLTEon\nuqSkhI0bN9Lb20ttbS3t7e0EBQXR3d1NVFQUJpOJlpYWmpqaMJvNKJVK5s6dy7p169i/fz8BAQEk\nJCSg1WqdXbTrVk1NDX/60584evQoAQEBDA4O0t3dTXBwMFqtFr1eT3FxMYsXL0alUhEREcHhw4c5\nduwYhw8fRq1Wc8cdd5CcnCx2kQBOnz7Nb3/7W/bv309DQwNpaWmUlpai1WoJDQ1Fo9Fw9uxZWltb\niY+Px2g0Mjg4SGlpKdu3b6ezs5OkpCT8/f3d/gHQ3NxMfn4+fX19vPnmm+j1eux2OxaLhYyMDADm\nz5/Ptm3biI6OJjAwEI1Gg8Vi4Y9//CN6vZ7U1FRp+zB33yt6IvlZVlZGYGAgZrMZEIcvOHzT/LRY\nLBw+fJiBgQHi4uKIiIgQ+cnE87Onp0fKT6VS6erquMxEsnPz5s3o9XrS09O/lJ3Ct2dSJs/U1NSw\nfv16tmzZQmRkJF988QU+Pj6cO3eOqqoqALKzsykvL6ezs5Pe3l62bt3K/PnzefbZZ6V9ToXL2tvb\n2bx5M+np6QQGBkpvrb29vdIuBhkZGdjtdt555x3pJlKr1Rw4cID4+HhSU1NdWYUp56mnniIlJYUn\nnniCzs5OXnzxRVatWsW7774LwMyZMwkLC6Onp4fu7m4A3n//fU6fPs3999/Pww8/7MriTylHjhwh\nPj6exx57jHXr1vHSSy9x9913c/LkSY4dOwaAQqFgxYoVHDp0CIBNmzbR09PDyy+/zCOPPDJmL2N3\nn9PnjPx055eQq00kP8vKyoiPj5f22Rcum2h+/uQnP3Fl8acMkZ3XP6e1+OhVyufPn5c+IWo0Gurq\n6liyZAne3t4cP34cq9WKn58fsbGxfPbZZ8jlcvLy8ti6dSszZ850VpFuGEeOHMFkMrF06VLuuece\nqqqqmD9/PkajkQ8//JCWlhYA1q5dy759+wB47bXXiImJoaysjGXLlrmy+FOK3W7n008/ZcaMGSxa\ntAhvb2/mzJmDUqkkMjISuVxOUVERALGxsRw7dgyFQsG5c+eIj4/njTfeYPny5S6uxdTguOeDg4OJ\niorCbreTmJiIl5cXSqWS1atX8/zzz9Pe3g6ASqWS5pGuXr2awsJC4uLisNvt2Gw2l9VjKhD5OXlE\nfjqPyE/nENl545jwdI7CwkJMJhM6nY6hoSEUCgVLly6VpmJUVFSg1+tJSkpCp9NRV1fH7t27aWxs\npK6ujnvvvRedTodOp3NGfW4IjnYcGRlBLpcTHBzMrFmzMBqNeHp6cuDAARYtWkRoaCgfffQRjY2N\nJCUlUVNTg1arJTExkcjISBISEsRijavIZDK8vLyIiYmROir79u1Do9FIOxg89dRTJCcnY7Va+eST\nT1iwYAH+/v5ER0e7fXuO/lzo+DUkJITZs2cjk8k4deoU+/bt4+6772bu3LnU1dVRWVnJ0aNHOXTo\nEN/73vcIDQ2V7nfHNe6uo6YiP51P5OfkEfn5zYnsvDF945Ho4eFh4PK2Nlu2bAGQ5uXIZDLp8JTm\n5mZpEVtERAQFBQXk5ORgMBjYvn07RqNxQhW40XR0dEh7vDoCx9PTU1psdeHCBaxWKyqVitDQUHJz\ncxkZGeFHP/oRr776KgsWLACu/F+4u6v3zLTb7Xh4eIxZbGW1WomJiQEgMTGRvLw8du3axZYtW1i9\nejV+fn7fapmnMsfnwqamJvr7+7/05/X19SxatEj6/QMPPMC9996LRqNh69atpKWljfl5d32oivyc\nHCI/nUvkp/OI7LwxTfvGf/F/x6Ju2LCB7OxsDh06xOLFi7HZbMjlcjw8PBgZGaG9vZ24uDhOnDjB\nP/7xD3Jzc8X8sq/gaLfe3l4OHjxIRUUFt99+O8HBwWPeNMvLy4mJicHX15eBgQF6enr4xS9+QVNT\nkzgafZSRkREUCgUKhYL+/n5OnTqF2Wz+0lt7a2srly5dwmw2093dzb59+8jNzZX+P4QrbQmXD1DY\ntm0bnZ2dPProo9KiSsdOGlarlZSUFM6cOcMzzzxDZmYmGRkZ/PjHPwbEokEHkZ/OJfLTuUR+OofI\nzhvfNXeiR18MDtu2bUOv1/PII4/w5JNPsnjxYunGsdvttLe34+npyW9+8xu6urq4//77mTt3rnNr\ncJ1z3ECOdlMqlfz9738nJiaG++67T/oZuDxCpVQqSUhI4J133uGVV17hrrvuIjY2VjwAruK4Vmtq\nanjsscfo7+9n7dq1ZGRk4OPjI4X8yMgIQ0ND7Nmzh+LiYm655RaGh4fFWz5XOiYKhYLBwUHkcjkt\nLS1UVVVx33334e3tLf2MI9j/9a9/SUciL1myRFphDpevY3d9sIr8nBwiPyeHyM+JEdnpPr52TvTI\nyAhPP/00n3zyCbNnz0ahUFBfX4/RaESj0fD444/zy1/+UlopHhcXN+YCKiws5LbbbuPXv/612Jz+\nKqPf1isrK9m5cyehoaGEh4fj6+uLSqUiKChozNvn3/72N/7yl7+g1+t5+OGHx3z+cWd2u/1L+woX\nFBTw8ccfS3uXHjlyBC8vrzGjU83NzRQVFTE8PMxPf/pT7rjjDjHP7H8cbbB3715+/vOf09bWhlwu\nJzY2lrKyMpYuXSo9LB3z886ePYuXlxe/+93viI+PB650dNyxTUV+Th6Rn84j8tO5RHa6j6/tRL/+\n+uv885//ZGBgAH9/fyorK9mzZw/R0dGEhYXR2NhIZWUlDz30EJs2bSI7OxuVSsXQ0BBqtZpVq1aJ\nk9xGaWtrw2KxoNPpUKvVyGQydu/ezY4dOzCbzbS1tbF06VJOnjxJW1sbs2bNwtPTc8wiGbPZzA9+\n8AN8fX1dXR2XG724QiaT0draSnV1NcHBwXh4ePD666/z/e9/n5tuuom6ujo6OjoICgqSFm6p1WoS\nEhLIy8tz+/asrKxEq9WiUqkAOHv2LFu2bOHChQsUFBSgVqvZs2cPc+fOpb+/n7a2NqKjo7HZbNID\n4Tvf+Y6057P4/Cjy09lEfjqXyE/nENnpvr62Ex0dHc0999zDyZMn6e/vJyAggIsXL9LW1kZsbCyJ\niYk8/vjjrFixAqvVynvvvcett94qXRju/lnHwWaz8cwzz1BYWChtOn/8+HEWL16MxWIhMzOT5cuX\nExcXh0ajQS6X09DQQE9PDzKZTDoO3dfXl1mzZrm4Nq43eoQvNDQUpVLJs88+y44dOxgeHqaoqIj8\n/HzKy8vp7e2V2rWyspKhoSHmzJmDTCbD09OTwMBAV1fH5To6OlhWqllEAAAFl0lEQVSzZg3Hjx9H\np9MREhKCSqVi586d+Pn5cdddd3HTTTfR1dVFVVUVGRkZvPXWW8ybN2/M4ROOub5iTuRlIj+dQ+Sn\nc4n8dB6Rne7tazvRw8PDyOVyvLy8KCsrIzIyErVaTUNDAyaTiYCAAD766CP27NnD5s2bUavVhIaG\nfkvFv368/PLL0oKB9PR0kpOT2blzJ0ajEYvFQk9PD8nJydhsNj7++GMuXryIWq3mhRdewNPTk/j4\nePFWOopjhO/SpUuEhIRI1+fvf/977HY7b7/9trTf5h/+8Aeys7MJCgrizJkz6PV6wsPDRXuOMjw8\nzAcffEBUVBTl5eXI5XJuueUWdDodFRUVLFiwAK1Wi1wup6mpiYSEBM6fP4/BYCAgIOBL/55o28tE\nfjqHyE/nEvnpPCI73dvXdqIdb0T+/v40NjZitVqZPXs2nZ2dVFZW0tLSgslkIjw8nISEBPEA+AqD\ng4Ns376d/Px8TCYTFy9eRKvVotPpOHr0KMuWLWPHjh3Exsbi7+/Pa6+9xvDwMDk5OWRmZrJw4UJx\nY11l9Aif1Wpl5syZBAcH89xzz1FbW0teXh67d+9mzZo11NbW8sEHH5Cenk5MTAyRkZGiPUex2+2o\n1WoqKiowGAzceeedvPjiiygUCm677TYqKiqoq6uTHhJnzpxhzZo1JCUlERQU5OriT2kiPydO5Kfz\nifx0DpGdwjV9M3CciJOdnU11dTVqtZqcnBwGBgaoqalh+fLl5OXlTWpBr2dKpRKdTkd9fT1weR4Z\nXD5qtrm5mUuXLpGfn09RUREPPfQQx48fl1aLu/M8s//Hsc9ueno6jY2NtLa2EhwcjFKpZMOGDdx6\n660ArFmzhvnz50t7bDo+mQlXOB6IixYtQqVSsWDBAsxmM08//TR//etfeeCBB6iqqqKwsJDm5mYe\nfPBB4PJUg9En7QlfTeTnxIj8dD6Rn84hslO4phMLZTIZ7e3tmEwmamtrsdvtzJs3j5SUFDIzM6X9\nDoWv5tiuqqOjg8jISDw9Penr60OpVNLV1UVDQwNr164lISEBb29vfvazn33lZx7hCscIn8lkorm5\nmU8//ZSRkRHq6urw8vLiyJEjpKWlERYWxsqVKwkLC3Nxiae+6upqjh07hsViobq6mh/+8Ie88sor\neHh40NfXh4+PD48++ih+fn5i1fg4iPycGJGfzify07lEdrqvaxqJtlqtbNy4kfz8fE6dOiWdTiTe\nSq+NTCYjOTmZL774gv379wMwffp0ANrb21m4cCEAPj4+Y/aGFP4/xwhfVlYW//73vwkICCA1NZU3\n3niDDz/8kISEBFauXOniUl4/MjIysFgsaDQaioqKyMrKYuPGjSQlJfGrX/2Ko0ePYrFYxhxfK3w9\nkZ8TI/Jzcoj8dB6Rne7rmkaiNRoNSUlJaLVaCgoKxhz5KVwbX19fBgcHefXVV+nu7mZgYIDNmzfT\n1dVFVlYW06dPFzfXODlG+Pz9/amurkahULBs2TJSUlKkrcKEazdt2jQ+//xzsrKymDFjBjabDZPJ\nhMlkQqPREBgYSExMjBg5HSeRnxMn8tP5RH46j8hO93XNQyG+vr5kZmZOZllueKmpqWg0Gk6cOMGu\nXbtITU0lJyfH1cW6blmtVjZt2sTg4CB9fX2sWLECYMy2QcK18/DwoL6+nqGhIeDKJ1/H58clS5a4\nsHTXN5GfEyfy07lEfjqPyE73JbOL2e0ucfXpUMI309nZicViIS0tDaVS6eriXPc6OzvFYixhyhP5\n6RwiP51HZKd7Ep1oQRC+RHRSBEEQxk9kp3sRnWhBEARBEARBGCdxtqQgCIIgCIIgjJPoRAuCIAiC\nIAjCOIlOtCAIgiAIgiCMk+hEC4IgCIIgCMI4iU60IAiCIAiCIIyT6EQLgiAIgiAIwjj9Fw5hOOhT\nUd/XAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f5c66da4278>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# american['Adj. Close'].plot(label='American Airlines',figsize=(12,8))\n",
"# united['Adj. Close'].plot(label='United Airlines')\n",
"american['close_price'].plot(label='American Airlines',figsize=(12,8))\n",
"united['close_price'].plot(label='United Airlines')\n",
"plt.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Dispersion et Corrélation"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 1. , 0.91653673],\n",
" [ 0.91653673, 1. ]])"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# np.corrcoef(american['Adj. Close'],united['Adj. Close'])\n",
"np.corrcoef(american['close_price'],united['close_price'])"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f5c600bf400>"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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KOQhJALvDu7EwhkH0pkvmQMQAZpsLX7mmClsfvBy3X1MFAPj4YFvAsUfqevGzv36Gx149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\nFmvXru13+/XXX4/rr78+WssgIiKiUUoxaNDU5hs7FxhqPV4Rbo8X6j6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OfJtep0aXrX8l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WHCBDz33HMAgPnz5yM1NRUdHR1obW1FYWEh5s2bh507d8ZqyXFtsNfPlpYWAL7XT51OhxMnTgAA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\nEI30X781jwiHR7kAAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f5c65da57b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# spread = american['Adj. Close'] - united['Adj. Close']\n",
"spread = american['close_price'] - united['close_price']\n",
"spread.plot(label='Spread',figsize=(12,8))\n",
"plt.axhline(spread.mean(),c='r')\n",
"plt.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Normaliser avec un z-score"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"def zscore(stocks):\n",
" return (stocks - stocks.mean()) / np.std(stocks)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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XCfbxojpsrZJBc3M4nHzwbS6GCB2XLhgJwIol4/jp1dP44x3nMyw9ltkT1eDF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\nf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qChsYlQm+Wk+w5X1WEwQERIBy6CPvroIwIDA1m4cCEFBQXMmjWLxYsXe+6vq6tj/vz5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\nEelUVASJiIiIiEin8v8DqMmuWlr6QbYAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f5c64b152e8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"zscore(spread).plot(figsize=(14,8))\n",
"plt.axhline(zscore(spread).mean(), color='black')\n",
"plt.axhline(1.0, c='r', ls='--')\n",
"plt.axhline(-1.0, c='g', ls='--')\n",
"plt.legend(['Spread z-score', 'Mean', '+1', '-1']);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Rolling Z-Score\n",
"\n",
"Notre écart est actuellement American-United. Décidons de la façon de calculer ce spread sur une base continue pour notre utilisation en Quantopian"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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i3T3RYqAgOp2SIIrkiXbSTJ3o4f4ssmmJlGgOt0RNVlTfSzXxu7Ab6ktuw5Uo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\nxohHiMR8yDwAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f5c6acb6a20>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Moyenne mobile sur 1 jour de l'écart de prix\n",
"spread_mavg1 = spread.rolling(1).mean()\n",
"\n",
"# Moyenne mobile sur 30 jours de l'écart de prix\n",
"spread_mavg30 = spread.rolling(30).mean()\n",
"\n",
"# Prendre un écart-type mobile de 30 jours\n",
"std_30 = spread.rolling(30).std()\n",
"\n",
"# Calculer le z score pour chaque jour\n",
"zscore_30_1 = (spread_mavg1 - spread_mavg30)/std_30\n",
"\n",
"\n",
"\n",
"zscore_30_1.plot(figsize=(12,8),label='Rolling 30 day Z score')\n",
"plt.axhline(0, color='black')\n",
"plt.axhline(1.0, color='red', linestyle='--');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Implémentation de la Stratégie sur l'IDE Quantopian\n",
"\n",
"#### AVERTISSEMENT : VOUS NE DEVEZ PAS FAIRE DE TRADING AVEC ÇA !"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
" \n",
"def initialize(context):\n",
" \"\"\"\n",
" Appelé une fois au début de l'algorithme.\n",
" \"\"\" \n",
" \n",
" # Chaque jour, nous vérifions le status de la paire\n",
" schedule_function(check_pairs, date_rules.every_day(), time_rules.market_close(minutes=60))\n",
" \n",
" # Nos 2 compagnies aériennes\n",
" context.aa = sid(45971) #aal\n",
" context.ual = sid(28051) #ual \n",
" \n",
" # Flags pour nous dire si on est dans une position de Trading\n",
" context.long_on_spread = False\n",
" context.shorting_spread = False\n",
"\n",
"\n",
"def check_pairs(context, data):\n",
" \n",
" # Par commodité\n",
" aa = context.aa\n",
" ual = context.ual\n",
" \n",
" # Obtenir l'historique des prix\n",
" prices = data.history([aa, ual], \"price\", 30, '1d')\n",
" \n",
" \n",
" # Nécessité d'utiliser .iloc[-1 :] pour obtenir un dataframe au lieu de séries\n",
" short_prices = prices.iloc[-1:]\n",
" \n",
" # Obtenir la moyenne mobile longue sur 30 jours\n",
" mavg_30 = np.mean(prices[aa] - prices[ual])\n",
" \n",
" # Obtenez l'écart-type' de la fenêtre de 30 jours\n",
" std_30 = np.std(prices[aa] - prices[ual])\n",
" \n",
" # Obtenir la moyenne mobile courte sur 30 jours\n",
" mavg_1 = np.mean(short_prices[aa] - short_prices[ual])\n",
" \n",
" # Calculer le z-score\n",
" if std_30 > 0:\n",
" zscore = (mavg_1 - mavg_30)/std_30\n",
" \n",
" # Nos 2 cas d'entrée\n",
" if zscore > 0.5 and not context.shorting_spread:\n",
" # spread = aa - ual\n",
" order_target_percent(aa, -0.5) # short top\n",
" order_target_percent(ual, 0.5) # long bottom\n",
" context.shorting_spread = True\n",
" context.long_on_spread = False\n",
" \n",
" elif zscore < -0.5 and not context.long_on_spread:\n",
" # spread = aa - ual\n",
" order_target_percent(aa, 0.5) # long top\n",
" order_target_percent(ual, -0.5) # short bottom\n",
" context.shorting_spread = False\n",
" context.long_on_spread = True\n",
" \n",
" # Notre cas de sortie\n",
" elif abs(zscore) < 0.1:\n",
" order_target_percent(aa, 0)\n",
" order_target_percent(ual, 0)\n",
" context.shorting_spread = False\n",
" context.long_on_spread = False\n",
" \n",
" record('zscore', zscore)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3.5",
"language": "python",
"name": "py35"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.5"
}
},
"nbformat": 4,
"nbformat_minor": 1
}