{ "cells": [ { "cell_type": "markdown", "id": "d6cf904d-7062-41d4-852a-bdf49911a2b0", "metadata": {}, "source": [ "![](Rydiqule_Logo_Transparent_300.png)" ] }, { "cell_type": "markdown", "id": "114e9a5c-e1e3-4acd-85b5-29931b70d7df", "metadata": {}, "source": [ "# RF heterodyne with Doppler Example" ] }, { "cell_type": "markdown", "id": "049681de-fce1-46e5-8ae1-c964f899fb66", "metadata": {}, "source": [ "This notebook demonstrates two-tone detection using a Rydberg sensor in the time domain with Doppler averaging. An RF local oscillator (LO) and signal (sig) are imposed on the Rydberg sensor. This is useful for RF phase detection, and can be used to linearize the detection, as shown below. The main results of this example showing how different levels of Doppler averaging affect the beat signal size of the sensor. \n", "\n", "This notebook can be downloaded [here](https://github.com/QTC-UMD/rydiqule/blob/main/docs/source/examples/RF_Heterodyne_Doppler.ipynb)." ] }, { "cell_type": "code", "execution_count": 1, "id": "e06df43e-922a-4266-b537-c07435bdd6ee", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2026-01-20 09:34:52.435245\n" ] } ], "source": [ "import datetime\n", "##***LAST UPDATE***##\n", "now = datetime.datetime.now()\n", "print(now)" ] }, { "cell_type": "markdown", "id": "a204176b-9632-4346-8ca9-47a2c8129798", "metadata": {}, "source": [ "## Imports" ] }, { "cell_type": "code", "execution_count": 2, "id": "91a6c8c9-31ed-4433-9c12-aa2c79e15e08", "metadata": { "tags": [] }, "outputs": [], "source": [ "import numpy as np\n", "import rydiqule as rq\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "id": "7b320f83-4867-4c10-abd9-c008ebc40bf1", "metadata": {}, "source": [ "## Define the Sensors" ] }, { "cell_type": "code", "execution_count": 3, "id": "ff1c0834", "metadata": {}, "outputs": [], "source": [ "atom = \"Rb85\"\n", "(g, e) = rq.D2_states(atom)\n", "r1 = rq.A_QState(150, 2, 2.5)\n", "r2 = rq.A_QState(149, 3, 3.5)" ] }, { "cell_type": "code", "execution_count": 4, "id": "5ecc2713-4df5-4015-9331-154a915aae26", "metadata": { "tags": [] }, "outputs": [], "source": [ "rf_rabi = 100 #Mrad/s\n", "red_laser = {'states':(g,e), 'rabi_frequency':2*np.pi*5} #fields are stored as dictioniaries\n", "blue_laser = {'states':(e,r1), 'rabi_frequency':2*np.pi*7, 'detuning': 0}\n", "LO_ss = {'states':(r1,r2), 'rabi_frequency':rf_rabi, 'detuning':0}\n", "\n", "\n", "RbSensor_ss = rq.Cell(atom, [g, e, r1, r2],\n", " gamma_transit=2*np.pi*1, cell_length = 0.01)\n", "RbSensor_time = rq.Cell(atom, [g, e, r1, r2],\n", " gamma_transit=2*np.pi*1, cell_length = 0.01)" ] }, { "cell_type": "code", "execution_count": 5, "id": "57758dbd-c908-4507-9e1e-399693cb6fd1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1: (150, 2, 2.5)\n", "2: (150, 2, 2.5)\n", "applied field, V/m: 0.09799930011573187\n", "Rabi frequency, Mrad/s: 100.0\n" ] } ], "source": [ "state1 = RbSensor_time.states[2]\n", "state2 = RbSensor_time.states[3]\n", "print(\"1: \", state1)\n", "print(\"2: \", state1)\n", "dipoleMoment = RbSensor_time.atom.get_dipole_matrix_element(state1,state2, 0)\n", "\n", "field = rf_rabi/rq.scale_dipole(dipoleMoment)\n", "\n", "print(\"applied field, V/m:\", field) #V/m\n", "print(\"Rabi frequency, Mrad/s: \", field*rq.scale_dipole(dipoleMoment))" ] }, { "cell_type": "code", "execution_count": 6, "id": "f96ced46-d1ea-4ae7-96c8-a7212e92c289", "metadata": { "tags": [] }, "outputs": [], "source": [ "def sig_and_LO( delta, beta):\n", " def fun(t):\n", " return (1+beta*np.sin(delta*t))\n", " return fun" ] }, { "cell_type": "code", "execution_count": 7, "id": "f05250eb-6cd3-4b57-a0fd-49ea72d298fd", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "658.5872654159832" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rf_freq = RbSensor_time.atom.arc_atom.getTransitionFrequency(*r1[:3],*r2[:3])*1E-6\n", "rf_freq #MHz\n" ] }, { "cell_type": "markdown", "id": "9d38af40-852b-4fc6-8d7b-0fd82faf306a", "metadata": {}, "source": [ "## Observe a heterodyne beat between the Signal and LO." ] }, { "cell_type": "markdown", "id": "66a829b6-6ec7-4b48-8f15-774f26f93b2d", "metadata": {}, "source": [ "### Define the RF LO and signal" ] }, { "cell_type": "code", "execution_count": 8, "id": "e69a9e0e-7631-4bfd-95fe-ef5a89b6ea43", "metadata": { "tags": [] }, "outputs": [], "source": [ "sampleNum = 200\n", "endTime = 10 # microseconds\n", "rf = sig_and_LO( 5, .1)" ] }, { "cell_type": "markdown", "id": "94fd1121-5d55-4aa2-9637-db3105cb8504", "metadata": {}, "source": [ "### Solve without Doppler averaging ###\n", "\n", "Observe the beat between signal and LO fields." ] }, { "cell_type": "code", "execution_count": 9, "id": "88225979-583f-45b7-bc18-3799c17fd7cf", "metadata": { "tags": [] }, "outputs": [], "source": [ "red_laser = {'states':(g,e), 'rabi_frequency':2*np.pi*5, 'detuning':0}\n", "blue_laser = {'states':(e,r1), 'rabi_frequency':2*np.pi*7, 'detuning': 0}\n", "rf = {'states':(r1,r2), \"rabi_frequency\": rf_rabi, 'detuning': 0, 'time_dependence': sig_and_LO( 2*np.pi, .05)}\n", "\n", "RbSensor_time.add_couplings(blue_laser, red_laser, rf)\n" ] }, { "cell_type": "code", "execution_count": 10, "id": "d8f79e1a-7239-4cd2-9b24-245e1b471188", "metadata": { "tags": [] }, "outputs": [], "source": [ "#Solve Without any doppler broadening\n", "\n", "time_sol = rq.solve_time(RbSensor_time, endTime, sampleNum, atol=1e-6, rtol=1e-6)" ] }, { "cell_type": "code", "execution_count": 11, "id": "9871ccc7-b704-4727-98d9-8c6d1882ef89", "metadata": { "tags": [] }, "outputs": [], "source": [ "transmission = time_sol.get_transmission_coef()" ] }, { "cell_type": "code", "execution_count": 12, "id": "26960785-6f71-4812-a6de-8ab1aff17cfd", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Doppler-Free Solution')" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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wC+L//b//59WX4bBHG2pPb+gwAMhrgNZrAnwa6ERAvT0OUMfP9TbA2HrCCSck+h7UuGEaJaC7ANcBLZ+E3E4PvAYMptRKCd9FbgIpvuaYY47xupWKjUX038DBwcHBoXegVxIXZDGccsop7Be/+IW3iMPc9+ijj/II8ahAdwEWYhhyyQyIWHacIBwkBFEAEyEWccK9997L8yrOOecc72PockAnUJTvgWGUWp8xVsTSo3U12HmCMYN4EElBTDh+NzIm4nP42XTtYApFRxW+LuxYRP8NHBwcHBx6B0q2Hbq1tZUddthh3vkmJ598Mu/wQSYDcPfdd/PzRJDtgDZd5EY88cQTPAskKqAy4FwPBFShM4ZeA6+31157xRr/rrvuynNocMIwxoazVl544QXelknAgk/dKmG/By2iOFcFWSyUN4P2ztyOBLxB0UAVAmfgnHTSSd7ncf4O3ujaQfX429/+xrbbbrtIYxH5N6BuGxyCh4wcdEUhJwS/X6EOEVOBdlh0xaArC90zuD4gwvm6g9B2/8tf/pL///e//z0PXsN1dnBwcChV9EG9SPcgHBwcHBwcHBzCoFeWihwcHBwcHBzshCMuDg4ODg4ODtagpDwuMJviYDR4JehQOwcHBwcHBwezAdcK/H3oYA16N0ueuIC0xI3Yd3BwcHBwcNALnBOGxpBeQ1zoRFn84vlOyk2CTZs2cVIk47X32WcffpKtDMh6bVmv666zmmst8zrbeN/Jem13nd111nHf2ThH0+sWOhm+ZIkLlYdwMWVMxrJeG/kossYr67Vljhlw11nNtZb1rNh437nr7K5zKd135RbO0UAYm4cz5zo4ODg4ODhYg5JSXIISGaW8Ei644AL+5uDg4ODg4KAPd9xxB38LAsfk9GrigrqeTInMwcHBwcHBIR7yCQnwuNTX14f6flcqMgAylSBZr22jemXjdZb92rJg433nrrO7zqV0311g4bzRKyP/ibFt3LhRSleRrNd2cNdZNdz97K5zKcHdz/Zf6yiv6xQXBwcHBwcHB2vgiIuDg4ODg4ODNXDExcHBwcHBwcEaOOISEtXV1ezqq6/m/zrIg7vOauCus7vOpQR3P/eua+3MuQ4ODg4ODg5aEcWcW5I5Li6AzsHBwcHBoTQD6Jzi4uDg4ODg4KAVrh3aoSiWN2xlm5vbrLpSLe0drKm1XfcwHBwcLAKiykoorszBmXN7Jz5ZvZlN/a+X2Nn3ij/yXBY6O7vYqX+YwybfOJut3tzMbMK6LS1u4nSwHtjoPP3eCqs2Dys3NrO9r3+BXfq/86x6Bh98cwm7+dkPWUenPWNWCddV1AvxyFvLWGt7J3vrsw3ss3WNzAY8/f4K9u/PNrBNze3slQVrmS247m/z2V7Xv8CemPc5swk2TfK2AmTcJtz+4ifs/AfeZifd9QZbs7mF2YAX/m8VW9fYyv4673P2/PxVzAZsaWlnV/31ffa7lz7l43foDkdcEjD51z9dx2wDGHxwEX3h/1YzG8Z86wsfe+/PWWjHdX/kraXsT/9axP//vCUTEAjLY28vY/vc8AK75skPmC34vGEre3juUmsWp+8/+A7b4apn2FG//ScntxubzC/b/nvxBv7ve8s3shN+/5oVm563l6THDFz39/msuS28AVQX3vh0HWvPkNr/fn2x7uEYCUdcYuJHf3mXnfKHN9i/PrFn90+L/spNfqlltgUL6lPvrWAfr97ivf/GIvOJy3+WNbCf/fV97/15SxqY6UAJ4MIH32GXPfwuW7ullRMY05UXjPm4O//FvnzTP9iPH/0P+879b7Gl65uYyYDaiZJLW0cXJwEgtw/OXcJMV4f+b8Um/v9BqSr22bomdrUFxJaeu4qyPmzZhq3s9y9/ykzHqx+v8f7/r0/W8dK+QzYccYmJ95dv5P/+/T8rmE14/J3l/N8DJg3h/85ZtN7o3R7Ulttmp9WW7x44gZWX9WFL12/lO2yTgUkdC9RXthvC+vRJm6FNl9fv/ddi9tR/VvBJHtcZZTlM9ibjzUXr2dtLGvg1rq4oY+BZIAMmY9HaRr6jrq2uYCftPZp/7KOVZi9On61vYo2tHfwa3/3NvfjH3l+eJjKmYkNjK1u4Nq0KXXP0zvxflF9QijEZr2Y2wyCIwP2vf6Z5ROahrFRzXHbaaaest9ye8STAjb8hs9hDsaBadUNTq9FmKsikz7y/kv//4kO3Y9ttU8vH+9ICc8tFmNA/Wb2FparK2YUHT2K7jEwHE80xWHWBSkG7U0yYuM7Au0sbrCDjPzp8B/aFEXX8/x98bjYJwL0BfHXn4ezYPUbx/3+YufamYsGqNEnZflgtO/gL2/D/f2z4rnr+5+lruuPwOrbD8PS9sXZLi9Gdie8sTZeJJgxNsdP2HcOG1FaxlvZOtjhDZkwENjgL1zSysj6MXX/sLvxjj7693HiyFRVYj3PXaKzbvZq4zJ07l82fPz/r7YILLhD2+kEpevXmFr7Dm7e0gU2eMZtd8r/zmKmY/X+r+QOw7cB+bK8xA9mhOw3zPm4qlm5IX+tJ29Syur6VbN8Jg/n7cxauZ6YCykpzWyeffEYPrGG7bzuAfxz3iOlKAICFaecR9Vbsqj9ds8W7P3bMkK0PDVcvfOJS55HaT1c3Gm3WJQK708j+/DkcUpuOe1+81tyy3NufpZ+3PUcPZH369GFjBtXw95cYXEr8Z6ZMtPvoAWz6LsM56cKc/Vxmw1kquOCCC7qt0Vi3ezVxkY3cGx+GwBuegvGr02jj6H+Wpx/kQ3bchpWV9WGHfiFNXF78aDVr6+hkJmJ5plQxamA//u/kCYP4v28YfJ0hqwMjB/RjVRVlbI8xaeLy7jJziQsWTSIuE4bUsl1G9bdKceHEZXh/64gLFtOq8jK2ta2D77ZNxfyMirXTyDShnTAkxf9duNb3nplqzP3i2PTzZwNxefXjdJnoK9sN5WRr/4npkj49mw5pOOKSQHHpV1nO/733X4vY3Izjfs2WFu5tMBErGtKm3G0Hph/gPUYPYHXVFWxzc7uxDwZN5qMGpInL3uMGcSVj8bomtipgMjYJMC4GJ8qg4mLqrvrzjVu5jF5Z3oeTRFqg3s+UCEzFp2vS9+3EoSAudd7CZLK0vmDVFo+4VJSX8V11kISZiA8y98FOI9LkcHyGuJg6b6AETqXZL44ZaAVxwdxAzR7wxgU3bMsyyrNDGo64xAAZFo/dcyQ3McK0RoA50NQFFS3cwIgBffm/GDs9GCsynzNWcckQl/59K7lcbbLqQhPj2ME1Xumlb2UZJ4hkFjQNtACNHZzi9wU8LiCIKHutNvR+Xt/Yyt8ALP4DU1VsWP9qo82u8JktzrQRbz+81lOLTPa5IPAR9wEM0OR9Gmc4ccHfH/MyDNAgiMCYwekxm9p1tmD1Zu6dhJ8Pm0oAZX3AdJO8ajjiEgN04+8yqp7tMy7N5gfUVLJt6qqNJgHYVQMj6tPEJfj/FYbK1J7iklGJgN0yCgbttk3DkszCNGZQeqKsLC9ju2QUDFMNurQA0U66pqqCqxjB3bZpIIUCpBbjBfxykbljxuZmYE0lG5rxiXjEJaPEmGrMxb1B15nuE1ONrlQm2n10PSfiNigu1Ck5YWgtnzOC6rgjLtlwxCWBYRTGyzP2G8fbR392xBe8h3lFhiCYJkOSEjSiPs3igeGZ/5tKtnJLRcDw/mmyZaoSQB4XmigB2kGZatBFJwNA9zCwc0bZom4jk/0tBM+gu8JM9YL8LdsNq+MeBv7/bdJjDmYVmehv2TlDvgEqb0FBNDHrh0zbwTHT8wgVt91AT9+qTem4BNoABxWXVZubjbUg6IAjLhGBhxQ5IsDoQTXsiF1HsAXXT2ff2Hs0N2MCn2e8JCZhbWMLD7zC5iP4YIzMKC5URjItXIxKAVTSAqgcYGpJbmlOqQjYLUNcTDW75ioupCiarLjQ4kTKEPAFwxUX8rfskClfANsNqw2oMV3G+1uIBIB3ofyJSH3TQJlJwzKbHADzHszyyNAxcaNG89k2gTEPTlXxMjNuCxM3xLrgiEtEIFEUHQB4aEdmvCLo0Mkquxh4g5Exd5u6vtwQSBieGTOVkUz0t9T1rWD1/Sq9j9NktDKzQzEJMIXiHgHGBIgLKUa0q7KBuNBu9f3P7VRcTCQBwQwXwriMrwj3TjDV2hQsyPiFyN8C9K0sZyMzaq2JPhciLkMDmzTM06MzGyATy0U0N9DGDIAqR3OHKxeVOHGRGUBHZSKUK6or0l1FhBEGKy5EpsiYS6CykYmKy7I8ZaIgcTGxVLQk01EEzxOMxARSuTChmragtrR3eF0L1OYKkAkaE+bGrW1WEBe0cqMzanNLu5HtxWQaJsMoABVgXIbkmuhzQVZVvueQykWLDPSaobsTIB8RwWSfC81nQZUo2+di3ph1BdClnVYlBgTZ9O/vy5oyygAoE+VipMmKC3UUBYy5QSJjonRKigvVeXM9LpCosejmEkgjOopy7g/a+bV2dHISMKAmHedtAnBPo0sb3QzBHSpULrxhvJCxg6qXCWVEIiZB4gISgNIRslygutCkbwKgqNCYg8SFfC4wm8PncuD2Q5kpgK+CSOvgHBIApQi5I4vW2aG4mE5c4GPJVVyC8x/Nh6USQJcbCrtp0yZWX+97knqd4iITJNfBmJsLUi9MJAE+cclPAjCpmhbfnc+YS2oGQrsA087/WbK+Mav1Miit08JPO1jjjLlDU55hNJ9SZOKYcZ4LnelCmJghMmSSNk2Nw3jRuh2E73Mxy1RMHjOUsgbkEFcvy8UwxQUt5/De5CUumefSSOLimXMLKS6lQ1ySQitx2XHHHdmUKVOy3iZNmsQOPPDAbl/7wx/+kE+qixfrPebbV1yyF1OAPC942E07Pr2Q4pKqrmD9+1YYWS7KTc0l4D7YxlCDrh8+1/3+IBKw2jCfi+9v8ZULwlBDiYtvzM0miMHyAM7SMQnrGvOXL4JlF9Mi9OkagmyRl48Aomuix4XuVahvNLflKi6mZbmgy4mudfdSkfO4GFUqGj58OHvppZeyPnbCCSewqVOnZn1s3rx57L777mMmgJh6PsUFO2qk6cK8C6IQNDrqBuW05Cou9LFNzZvZ5xubeZumKaCa7qgB3a81lCLsQEwzu/qlou5/e5AtlAIQ6GW6Mdd04kIE0aYxr8uYtgfXdi8TDq2l8qdZY6bFlM4mCmJ8Rr1AqQhxC7nExgR/S66CaGqpCIZ+WN+gbKGTKD9xMWvMvVZxuffee7PeX79+PXv++efZqaee6n2ss7OT18KuvvpqZlSGSx6PCx4SzzNimDHQU1xyzLnBj600zJtDpaJcj0tWZ5FhKhFNiMGOIgJJwMaVijzi0n3MpA6YRrbW0eKUUwowW3FJE5fc0laQzBC5MQU0HpysnAtSQuGD2dBkzrjXFvC3BJXyhqY2owznXit0XXU3AkjXGR1npp4p16uIy/jx47Pef/DBB9n06dPZwIHpNFrg9ttvZ1/5ylfYLrukj/jWLedRx1C+UhFALYJQL0w6t8MPn8tDXDxTsTljxmTodTPkIS5eqcigBRX3B5W3guFzppeKSJmgezffdTZOvfBIQPfFaUhdlZnEpQf1gojL+qZW/rzaoLgg3ZVKMeSFMUpxyUNckPxLv4tJ5SKa64IZW0EiXl1Rxg30pm3UdMGorqKZM2ey66+/3nt/+fLl7J577mGvv/46e/PNN0O/DtzJYVBdXc3fwgIGVppU8tWpTY3Qx+SD0CXIkLnGL2B4/4yp2KA2bnRmQTpF+FKudJqdnmvO4rRqc/o6ox2XxhcEBUuZRLaCi04+JcAruxhGAmjM+e4NKrsYWyrKM+ZBNVU8Gwr3PNSLfERBJ0HMN2b+8dpqtikTQrcdM7ujiAD/GeZEqKMUsmhi+FxWlsvAftyQDsV/dJ5NkcloaWnhb6LWbaO6iubPn89WrlzJpk2b5n3soosuYjNmzGA1NdH+UKNHj+ZtVcXe8NpRgORZAp1/kQsvy8UgZkxnYAyrq847bq+8ZZDRlZQLpBHn1qlNLRVtyEzyA2u6GxmzOnQMIltQiUgyz+10MZkE9ES2SHEBUTDpNG6PBOQhJQiFxH1jmlJEZZchBUgAXX+jFBciLgXIH80dpICZleGSf8w2dxbNmDEj1HqMdds6xQVqyxlnnMHKytJc6sknn2QVFRXsiCOOiPxaS5cuDZXjEkVtAUhtwdlE+RZTU7NcaHGnlNxCKpFJHpdC4XO5k49J6gXV+WkBKlgqMmjMDYE6f267a3DXapovp0e/SKZ8BPULpCwfIdMBMt7mGzOpGiAAJvlc1hZRXOh3MSn2v5jiQvfD+kaTPC6ZjqI8irjtnUVXXHEFu+yyy0IpLmHJixHEpaOjgz3wwAPs5Zdf9j721FNP8dZntEgDDQ3pw+lOPvlk1rdvX/b3v/+d1dZ2b98EQFpkBNC1d6aNURXlhd3zpLiYVHYh9YfGVri8Zc6YC7UGdjuvyCTFpanNy5nJB5KBTSIBpBKhIy54FEQu2YKZ0ZSwPyQP07jzdeigDRZ/A4wZJS5jiEsPRlf6XT5ebZfiQoRm/RY7PC5UlgNMMhT74XPFiIs5vpywiGrJsIa4zJo1i02cOJFnuBDuuuuurK9B2zTapB966CE2btw4TbI6KS6FK2wjDTz7h/w2NLZc0AnRmzMhdHWBqHpd2JghAQMLkAB6wBtbO7j3qLZa/63cEFJxaTJozMU8DCA08OygTIqFlw4S1YlNW9u5mtKTegGPCIgLFt7clFpdoNJEvlJR8OMmKS6kEg3JY4LOLhW1WKi4tJoXPlegVETeRDoHrbejzJQy0dlnn81MB02WhfwtQVUDyY1YnEwAeVeIoOQCCygOMjQp0A2LDlAoGh/BeXWZhd8Un8uGjPQ8MFVZcMyI1TfpnCXPl1OAAMCrQ0ZRU3wutJjivi2kAJGqYYqpGIGUINk9kS3T2rjhD/JUooxvyPRSEdS4Yh6XQZnn0yTFpdA5Rbljps1Rb4d24oIS0OzZs9k3vvGNgl+D8tAll1zS7f+qEfS4FAImU4TQmSSfkhk0X6dLbrnIlAMiG7amr13/Hs7Hod2JMSQgM6n0dA6RaeUitN/2pBKZ6HPpyZhLGJrZoZpDttJjhnqVm+ZKINXLFMVlU3NbUWXLa+M2hLhANW5p7+xZcakxa8yIfqD7oxBxGWDYmHVDu1Y9YMAAtnbt2h6/BuUhExDG4wKgvr51YwdffMewGmNIQCHvBakxC1ZtMUa98BSXHogLHnIcTGeKQdcvFRUeMyZTJNWaQgJIcaEdXT6Ydl5RT8bcXMXFFGndKxOluqe5disVGVJ2IeUHRKuQskU5OqYsqHSPQkHG+WA2dEKRKghSW2juILJF82Jvh3bFxSaE8bgE2TGZNXWDbvaeTvcdknmYTZFPqUW3R7LltUS3GGbO7UFx8ULozCBb1FnRk4HVtAj9njJcCOaVtwqbiQmDDSNbNI5CxtwslcgUElDE35KruKC0ZE5qbt+CpJYMxbAftGYUpd4M7YqLDOyzzz6svLy86DHaMjwuQZWgwTAS0BNxqc8QhGB7rBmKS/Gyizm+nOJlF5KCTVlQiajSxJgP5BVYs6XZolKRWX4RKv/0rBKZNWYvNbeAMTf4+2zIkIBCC68qFPO3BMeMkhLOlUOark7QJqaQMZcUJCw7WIIamlrzBtXZhDvuuIO/5XYX92riMnfuXCnt0J7HpUipiMyZJsh6MAVSzZfIST4QQTBhzKHLW4adEE2KS0+lIj/LxZ6yi+dx2WQYCehBvTDN6NpT3H9uecsUj0sxY27wvsGmDt1ePc0xpiguNVXlvGUeygVIsG7iUizDhUzyUHIx3g1NbdYTl3xCAnJcEEQXBq5UFDFltJg5F6g3iARsyigoGHJtDw8oEQQTVCKQrea24mTL9wToH3N4c65ZIXQbohhdDSEB1HprU6koTHmL7meoAE2t+jsSifRRoF8+wEdCbf0meHOKZbgAUIW8LBcDQujClBGDG6L1hsx3OuGIS6xSUVmoG8wEv0hDoEzU07HzPnFpM6a0hZIctTz3NGYiZ7pJLVrgiysuZp2xRJOgTR6Xng5YzB0zvtaE2P+1IVQitMrjMD1TVBfP41Lk3CSTzK5hFJesLBcD5uhNIUr52QbdVtbb4YhLjFIR3N89gRZUE45ND+NvCX7eBI9L0EzcU83cG7MBZCt43Xq61qaVisJ4XIJdRSaYGcOpF1XeM2vCPV0syA3Ave4pRQaoW57iUkQJMCnLJYzHJSvLxYAxo+28WPSDiU0fOuGIixRzrjnMmBJow7L5jQaMma5bT63Qwd/JBIJIY0braL7o/FzFBWNGhL7ukhxSfMMqLvBK4SRgG8y5leXp2H9TlCLvZOgiJMAkn4tnzi1CArzYfwNIgEcQi4zZpCyXsIqLicF5uuCIiwSPC02YJjBjWtSLs3mDFBd6kIsY/YggwhOgmwR4xtwi5+JQd0CQVOoCTYC4nwuFopGPgZKVdZMAKD5hDMWmGXQ9lagYCfBi/1uMP1vJxFIRDMJh5juvG6rJoDEXOWqFyNYGA66zbjjiIkNxIfXCJBLQLxwJwA5cNwmgBb2Y4oLFlCpJuq81TSY9GXMB+IxoUtU9ZlqYQLaKtbGa4nMJ5lgUVy/MIC4gW77Rtecxm5SLElZxGWSQSoSz1oCeiLhxiotXKup5zK5U5MMRl1geF3vMuWGC3EwjAX4rdAgS0NcMgy75bHoy5ppW4grjb+me5aKXBNBC07eyrGgb6xBDyBbOKGoJS7YMGTO6mqiMWGzMfqlIP0GkUqZdiguRLVcq6tU5LrIC6NoypaJiiguVOLAwoaOhp24eU+qnGCO+BgswFA/yYpia9EvA1+A66zbobggRPmcacfE7iopfZ89wrnmi90+z7lkFMIpsZZQInGFWjGyZorjQvVFVXlb0FHPq7tI9ZpSMaXNJpc1CMOmE6LANFL7i0spshwug0xFAF9KciwYMyIDFlAMTHgoqzYAA6Pa5NIRUiehrlqzXTwL8uH+LFJeQXpHgmHWbc4kEhBkzBafpVi/WUu5MEeUiWJbR7XGh1n6UL4qVEU0x55JXBPMzHXRbCKbkuMA3SaeGh1WJGgzwTiaFC6DT4HEpdlYRUhmRyWDCTUbdLqHUC0MO8grrcTGJBISJ+yeY4nFZ75W37FOJwpAAWlB1389eR1EIsjXYEL8IEZe6IuULk8y55G9Jl73DpZvrznGh6xxKJXIBdB6cxyVGV1F5kRwXk2Q9X3EpPmmacsZSWI9LkASYUyqyh2yFSaAlUP1ddydU2I4iwBT/k3edi5hcsxQXzX4RumbFFtPcHBedOT9h81CCpUY6Y0kXaA7AMQTFvJM0H25qbvPWot4KR1xiKS5hiIsZ7cWRSkWGBOd5Yw5TKjKEBIQ5Gdo04kIyebEW7uDfghYHK8iWV94y5N4ItaD66oXOxN/NLeEMo0GVCN1eVPbQASpjhiFbNNdhTt/coq/8Sfdm2FI+0NWlf+7QDUdcYnhciplzTYpn3pip+4Z5MLycAN2KS4mXikwZc5ggN9PGHCbu37Qxb4mwoBLZwlTTqPG8os0RxgzDMbq8gh4kk7tzKJuIyvk6c1HCZrgACLakNu8NJeBzSQJHXGIoLpVFPC7BHarOEgYk0I2ZsksY9cKUCH3P4xKCBJiiEsUx5+ouYUTphPJKRYaQrSjlLVoc9Hsvwi2o6OTRbYSOQlyCpRedJa4oiktQadTZDRU2wyV3zA0l0FmUBI64REB7R1doj4uf5dKmtT2wLTPmKKUineUttJyTdGuL4gKC6CkuqdJUXEwpu4RNgg4uBngOKLTOBhJA49ZJbDdFIFumGHT98LloY9apuEQp5ZsWnKcTLsclAjo6w0X+B1uideZe0EOB8ZIsGi6rQ+OEGZiswyxOvkqk7zqjrk8EMYw51wT1AmRrQxyy1WRG2aVYMmruoouFuFgCrHwlINzihPsDJzPrJC5RyZbfLq9z7oh2nU0gAVHKW8H5pcHyUpHLcVGY4xK2HdqU84rCnrLc7XDITHlJB0jtwcIUxktE3VI6SQDt2NAGXyw/whTFBdH5RLbCJOfSmKGG6QxVjNKmi/unrrqCjxkLhC7iEmzTDYM6utZGlIrCLaj0u+kdc7SyiwnpuVE6oUzyISaFy3FRCI+4RGiH1ll2iSpDmuDL8Yy5IUP7fBLQbkTcfxiCaAJxoQWmsryPZ6zsCbQYoKNBZxcGCFe0sov+4LzIpaLM1+lULyKTLQOIS1Rly1dc9M/RYRTErMTfJruJS1I4j0scj0uoUpH+iPQofoDsMet8kCnDJeSYPXOuvjyGKCbXIHFpbuvUdqAlEQDEuYchW9UV5R7B0VXCQFefN+6oxEWzuhW1VKTd4xKxhEG/mwlkKywJGJQJoTOiqyi04pLZXGpO/NUNR1xieFwqw7RD00OhlQSE73RJf1164cWOms5lMvmcouDXoewBE6YNxMWEAy1pZxyWAJigFBEBiKNe6FW32uKZcw1QicKSABM6uPzQvJAE0QRfTsRSEc3R653i4hC1VFQeph2a/CI6FZeIJCA4Sena7UUtFSFxkszSukpc/om04Sb5soz3gn+vZhJQWx3u3jBBCaAxo10YCpANixNUwOilIvK4tFnocdE/5rDPIY05SIhNV7b884paWW+GU1xilIrCeFxI0sOipiueOarHJRhwpMub4x2wGHLMKHPoznJpjEECgieIaw1FK3Lyr0mKS1TlIjszR8/ihHIgbXiikgCd6oWdHpdoJICeV53KVtQ52oSmDxPgiEssxSW8AVPngxH1ocgyFWt6MMgTFLa8ZcKhhUQCaqvDqQAmkIAtmUh3q0pFEZULE1rPiQBgyggTSWCCSgQvEUX3hycu5qhE/S1SiaKqtV5XUWPvVlxcjoukHBeoF3gw8DDBAxEm5MsM4lLJlqz3TbK6FJdIY9ac+BvVMGoCCfA8LhEUF90Lahxfju8X0VtGDGuCzirJNesliNEMxXp9OfDkNUUmWwaoRBFLRcG8nK6urtD3lGlwOS4Kc1zaIhyySCQAD4WuBTUOCdAd+x+1E8qECP04fhHdgW42ki0vzbXannsjStx/LtnStaDSda6uKOPZRGFAz+tmI8iWHV6i5rYO1pJJdA4739Hv1tbRxb8XR0TYCJfjohAdXuR/uIdZ90GLSUpFumqovl/EngXVH3OcUlG7NR4X7SW5GGRLd6koau5M+mt1k61oLbomqBdEtrhZP+T8TGOGD0lHFyWNGaJJ2OcwVeV3JOpUinTDeVxiHbLYx4oFdVOCsouu/JktLR2RiYsf9qdrzHFKGPYtqF45QBPZitqdY0IAXawxe6UivSQgDtlCuUZHM0JUfwuQCswxQcVG+REF1RWhk6jxdbVV+r05vdrjsuOOO7Lhw4dnfWzZsmVs5MiR7JVXXmH33nsvu//++1lZWRnbsmULr+dde+217LDDDtMy3vaMxyWMOdeEXYinuEQwuuo+aJHUi+CkYgsJSGUmlFL1uOges39OUfRS0WYLS0XYeOjwMURthU5/bYAEtLSHjjMQn+ES/n6uLE8f0YH8J/zOYc7s0pnhQqiDd7KlXWsbd68mLiAtL730UtbHTjjhBDZ16lT+/1/84hfsrrvuYgceeCB//7e//S07+uijObkZMmSIFrd92HboYC1eBzPGhOcF0GUyZWzwuMQpFWk351oY5kax/bUxSIDuDp1ohmK9AXRJFBcovFhUayIQYh0JtEQCkKyMsguUBOXEJQEJwDXWYYT24/6jjbkWf5eNrlSkDVBUgli/fj17/vnn2amnnsrfnzlzpkdagClTprCWlhZOXPRG/pcZr7jgYSSiFUda1yVD0oKasqi1OIkvR5uhOAYJ0D3mZGWXtHqh7/yc8GOGT4NUXR1zR5zrrLsbKs51Dn69juscp5Sf3XreznortHpcxo8fn/X+gw8+yKZPn84GDhzI39933329zzU2NrJbb72VqzG77ror04GOiB4X//wO9TcYyYhQmTERhgWZxBozXhOVgEGuNeOyt2pBtdBQHMvjorsdOkEnFLowoAbYUCpCacgPoWvTN+YI3VumkICo6oXO/JmoGS6E2sw8o2PMyxu2spcXrGELVm1mOmFUjgsUluuvv77bx4899liuxBxyyCHs8ccfZ+XlPS/EmzZtCvXzqqur+VtYtEX0uNAEq6MWScQjxV3o4Wvk5C3RcQIwKRfBcZjuy8Eu3sZOKD80L96Y9XgvopMAUi+w6QDh6heBxOtWL1D61EES445ZJwmIP2Z9c3R8slWhjSD+48PV7Kq/vs8O33kYu+ube4f6HlRJ8FYMYddto7qK5s+fz1auXMmmTZvW7XN//etf2dq1a9mgQYPYQQcdxJqamnp8rdGjR7P6+vqibzNmzJDrcdGYzOibXKNN1D7ZatN3Fk1FGa+Z20ACUJLL3BaWelziqRc6DrT0VKIIZAvkSudBi37ab7TFyTfoalhQY7RDa1dcEnhcbC0VbdG4uYyyscQ6G2Y9xrptneICteWMM87gHUT50K9fP27OHTp0KPfGIMCmEJYuXRoqgC6K2pJ1VlFIj0t/jQ/Flhg3WHBR0NEeSCpRlIUpt1SkWgmg6wQRDh0KUccMAoDyWNigLxHANYpDArLUi63tGkyj8XbVuNbIJdJSdmmJbnQNlmn0KC7RO3R0e1xiKy4aGyiSk602phpx1OUrrriCXXbZZaEUl7DkxQji0tHRwR544AH28ssvZ02u7e3trLLS/6PW1dWxUaNGcXWmJ4C0yEjOpXbosMm5OqXTODcY//qAdKqcBMQkWzRmKB+quzCCY45yrYI7cCgBQ+uikegkQNYG+VSjKC74/UAC1je28jEPr+/LTG/T1e3NidN2nn1UgT7FJa5KZJfHReeYqb0/5uayxY4NcVRLhjWlolmzZrGJEyeySZMmeR/77LPP2Ne//vVuBGfNmjU858X0QxZ1PxRxskWCEyxFSpsuQwJQOuhPolopiqNc0D1Up6mEQWOOqhLpLnHFaTvXnZ4bm2xpTM+Nq7jY6XHR10CRVHHZpGHMTZ53Uu9RA2WmlInOPvvsbh+fPXs2+/e//+29f9NNN3HyctJJJzEd8D0uZca3rXnm3IgLaipAdFQzev/Mn2gPBZQAXabiuCqRThIQVAGiKmp+em6b8nNdWjOJrHFKRbr8IrHLLv1sLLvY63HRoV7EVeNqNa4rW1rjz3ciob1U1NDQwAnKPffc0y2c7qqrrmLnnXce97fAlYxSEbqLgsqMSvgel5BdRQFJr7OzK3Sss67zc7xI6eoKPmbscIfUVltBAjBp4kEOdiaZrALQgrpsw1blJMBvhY42yetMKQ4uLKmIKmIwiVY1bMwX8QPo4ioB+shW1LILPbc6VKKmmCSgjsiW1qaPXk5cBgwYwDuGctG3b1/205/+lL+ZgriR/8RUo04EIib6mhg3mEdcFJOAJA8FpUmqLhU1tsbbNWUtTprIVtTF1BSVKOzzp7tU1NKeNl7bVypK2g6tUXGJfJ0rrFPF6zQqW3G9kyVZKrIFUduhceR4VaaspPomS3KD6cqf8cYcw1yrrVQUU+4Nfo96X0701FzdJYy4JRedYw7+XaObc/V4L3BAIszbfAyxTdBqx4wmgrheIq0NFKS4RPSL1Glth45HtkpOcZGBffbZp1tIHdqne2qhjmLODdsOTRPtusbWzIPRj6l/KGxaUOM/FDRm5aUiC8fsqRcWKS5JCGJ/TR6XZCqRnvJWcDGMen/oatMF0YpzvEnw6zdrNLpGVcXrdKpEMclWLu644w7+FgT8q72auMydO1dOO3REj0s2cdG1oEa/wYLeHC2KS4wFVZfJLol6oUslimsK1Gl0jesVAXQF0CW5zrrODKMxo9ssSgikzgW1MebxJlnqheIxo4RIZvOoCnNtYK4DYYtKik3wuOQTEpDjgiC6MHClIokeF53mr0SlIk0LalxDMZDKPPzKCWKCBZXuDfUqUfwx04Sla8xRTrPuRrYsKm/panklchePIOrx5TRmSlupiMebZG14WtMNFKqNuUDUYyjqAn8bUkDUd346j4s18A5ZjLAT8ZMZ7WnT9Ri94jH7J0PbRAISlIoyZEtX9kwsQ7EmNc5Gj0sylUgPCYhrzA2OGflPZEpWAXrmo6otwWcAgYzU6quSbMEDGTU1u7pCj3cS6x8dVKrb4+IUlwgGMISyRVVcdMuniUyjis8rarRwQU1SKvIIouJdk1/CiK5epLQRl3jtrunvyfhymnQpLvHbzkECkGFjw5iDJV6VCjOZieMsproaKJpiniXXvSW6nalCUN2JQxJFwhGXkAiqiNE8LnoUlyS1SB0PRdaYE3QVqR9zR2KPizbFJVapqFxzOGECEzQ/6qDLipIciDhVPVTOHUkUF2zoyLS5WcOCGncx1WEq9uIqYh5PUqdhzDQ/Y/2rVni2Wj444hLR3xKlHVqn016EOdemFFpdLdybBahE6kPzMrvqWGOu1NQJlVwJgNSt8hiLuC26XhCk59tSqV7EJy7p71NflvNi6GOWL3Rs1HyVKB7ZqtWg5Ac3wyrPsMsHR1wi+luitkPrCjiiCShRCcMi9UJ3J1ScSVNX2cVGxSVJh05N4DwmleP2E2jjLag6clHIe5FcCWi3pkVXhyqetDunjryTCu9n2gzrNuYCjriEBPlbbOgqgjs+Sd3Xl9Z1kQB7WrhFdBXZRAKCJmiVZZckJQyoF7SoqVSKklxnXWoteS/ill10tHF7Y455nenvo1IlSpKzpWtdSerLEQn91MmSALpsxSW6x0Xl4hQkHEmi6FUqLlgEyaQaRwmwUXGptVBxoTHjcdja1hF7Z66yq4j+PlATbPGL6Go9F6W46FCJ4isuOsoudJ3tMeduSejLCcIF0CkKoCOPCzhLlMMStTzImYeiPKaJKkW1dYUTJhQi2sDbUt7KIlsJk3PxWqrqxjQBxSlhIJgMtz+IC15HFXFJcjAkXevVm1uUkoAknq3g95FEr/TgP4vKLjTm+GRL35jjqnH9dZS3Eo45CBdApwh+am7UNEn1N5g3YVaVx1oMdZAAWlCwKGJxtEG9SEq2aGFCGVKVaZSTrQTt0LifdHRDCVMvWu1ZnHSUtzwlIGF5S2X+jH9+TkL1QmH8A5HRmrjm3GodnVDJrrNIOI9LxFJR1HhlnW1rsWvrmQVNJQnwyVY8xzr9rsFzS1SNGfdE38roj1Lw76NqcQJBojO34pSKspWiDivOKso2FXdYQwJ0ki2byi5JFRcdDRSeXySpCbpFR/aMfoeJIy5RD1iM0Aqt6wjypI51WtBUkoCkp44Gv0/VRB80X8YhWyA8pC6pIok0Zn6uSwxlK/uMpTZlZvMk/if+fRrauJOSAB2HcCZWXDSO2abylufLia1sVWpbV1xXkUXoyHhcohhzc825qrowktfW1beP+mOON/nAy1OZIZWqShgiHmTVnUWeMbeqIpJXS6fiAhMwPTqkBkYFnX9lk9GVngWVylZSskW/q0qVyAugS7hR06GKxzXn1mox5ya7n0XCKS4h4cf9xzsxFcoFJmAbTFT8LIyMqVfVgpqUBEDxUL1DFXHgmOfNUTQBeSWXmMoF/17F15nuZ6hEcUpyujJztiYMGdMx5qRkS4dK5AXQWdQJ5RHEpK3yLTosCM7jYg2oZBJVcQGjJl+MKllPhIlKteTr5RokIAF+CcMOlUhHZg7tKkWQLVXXmRYmlLbidl6pJohQV/0oeptIQLJ7msymRIDUKi7JSkVqmxESloqqNQb9GeBx0T8CS3Jc4npcSAnAcfFYNIb178tM97jQjnxdY6uyByNpWFfwe5UpLp56Ea98EVwglF1nAfeG6nwRClOMWwrQYXTFKbpU3opNAqrsU1x0ZM/Q/VFrk3ohqO18i0XeySBcjouqHJeOeB4XejBAXFRJkUkOK9TVXizCL6I6lMkvySVRXMg02mFFi276e8uVXme/ayT+dVadiZJV3qqIa84tz1qY1ZYwkhmKVY45sV9EQ5ecP+aEZKtZhwna5bhYg/aY7dDZPfeqSxjJd6iqja42lYrEqERqTaNbW9MEvF8CEqDaUJxUBdBxnYPlrbgmaNXqRWt7p+fli3utiTyozlMCUglVIh1jjjt31GaewdaOTtbS3mFNaVwUnDk3oselsrwsQcphmzUmKqqhqgpl8n059pSKRJXklPpFMjvqOCF/uhbUrQll9aCypY5sJet00bGg0r0hRr3Q4CWKa4LO/K5p4tapNj4/rrJV5d9XqjbEItRaUXDEJSToho6juCgvYYggAYqlSCFkS/F19mLoLfKLUKdLkrKLT2rV3s9JVCK/tdie8pb67q30dUZHYZwNWlCpgaKA/B2lXqLYKpH/fSpKXCBbSVWisjK/i1J904cjLiXfVaSjHimiVKTa40IBY4lKRYrNjCKus0cCVO2a2kSQAD1KQMoqz1by8pZPahX5nwJHhcRFcDdO95pMBM3WcVVEELWqDFFTQRKRXk3rSaLOz756yvlOcbEIfldRWYKUwzb7gtEs8rio9l54PgYR5YBWexQX9cQl2bkuejqhkpMAr4TR0cnLGDZ4iZCzQ3s7IkJKnsGq+F4i/v2eEVr+mIP3oAhiu0XBdQ7mkCWZO0TBlYokn1UUXFCVdRUljJPWUQ5IehZN8HuVLaj0ICfwi6jOF0l6rouejJ8OexUXAaRW1YKaNMPFO4RTofLpeUUSdrqkvDF3KCPiIHlx1pNcYqvk3gj8DBNKRfpHYEmOC3lckpSK1LcWC1hQXQqt1Ime7g1lHpe29H3cV4g5V20JQ4RKBE8Eog3iKKeqFRf4TFDGgNqC53BATRVTomwlJAFQL2A2V+EXSdq+TaDvV6ESJU02755NpKAkl3nWsf7heJWkcDkuinJckiguKc+wZlPZRU8XhlWlosyE0c8SuTfYoZPINKr4bBcRJYzgwobXq+9XZvyYaXFb396qhCQ2CiMB+J1blNzToq6zWhIgRiWqoXOhFCpbuE5x06uLCQmbNm1i9fX1ob7flYoielziuO1V71C9m0yEtK64E8qmUpGImq/y8pYAj4t/TAEOP+xS1w6dYEHl528pNGCKUOOC36/i/hCluKQUbtREGIrT36+OBPjGbTH3RqOSMZtjzAW0jmLHHXdkw4cPz/rYsmXL2MiRI9k//vEPNnPmTPbAAw9whrdx40a25557sptuuokNGTJE+VjbO5IoLupqkZDB4VoXlkKruFRkFwlInomii7iIyHGBCol7LUnZKQxoF5ykE4om+tamTjUTvWASoHJxSkwCPLKlQiUS06LrkQCFfhFRpaImpSqRfmOuduIC0vLSSy9lfeyEE05gU6dOZStXrmQXXXQRmzNnDtttt91YS0sLO+KII/jnc79HBTo643tcyKCnRO4N/AwhKbQKFBcsgNQ1IaJUpPwMHQFlF4wZ6oUIGTZcV1H865w+7BB5FOn7QzZxEdEOzb+/uoJtaGpTEvYnwuPCv1+hEVrEmVBZsf8qr3NSZUtp2UXMdU5l7i2VRNwEY672UtG9996b9f769evZ888/z0499VRWVVXFzjnnHE5agOrqava9732Pvfzyy2zFihVWtUOrVFyorbYqY+yzQQkQkdgJpKrUkS2QDBEkgCYCRK2TUqaivJVEvUDbaUrhRC+CIKoOdBNFApR6LwSRLZWHQ4rIy+Hf75VdFBqKBV3nRoUt3K5UxBgbP3581sV58MEH2fTp09nAgQM953EQffumT1aG+mJTAJ1/g6mT9IS57BU8FEQAsItP4lin8hYIALrA4qZ/hgGyNYjMJsoXCUy4+NvJVy+Sl4poAsPCpITYCkrsVKle+AfSJb3O6nbVfiaKPSUMG5UtEcnmqg+HNOmcIuPMufC0nH322QU///rrr/NW53HjxjHVaEvicVHYaicizTU4eeH3lh1+5e1OeQkiQa5B4HeWPQER2Uqa44L7SeXBdCK6ilSbRmlHmdzjojKro11QOUCheiGs7KLSNCqq7KJhc5lUcalWb841pVRkxigYY/Pnz+e+lmnTpuX9/Nq1a9k999zDnnzyyaKvhbaqMED5CW/SPS7ksm9Ln9+RJOFRlaQXXNgwCVdVVBndVgxAYYFiA8UF5SKZuRc0ZpTkkmaC4G+F15O9OPEzUtrsK7sQSUwlbi1W7wlIQmqVe1y8M6HEKC4qy8yiFBclybmCSW2TkjJi/GcQFZIwVZKw67ZRigvUljPOOIOVlXUfUnt7OzvllFPY9ddfz770pS8Vfa3Ro0fzfvBibzNmzIjhcYmvuMDM2Cz5CHKfBCR7kCn8SsUuZGubOMe6qm4oUddZZes5CB11Lycdt8rMHG+iF9Tyqqa8RYuTRS2vwkhAufIFNXn3lvqSnKiuoi2GKy5YZ8Osx1i3rVJcOjo6eNszjLe56OzsZGeeeSY79NBD2bnnnhvq9ZYuXRoqgC6s2hJsh67IQ6yKoW+F34UBaTPpQyb7LJrgw4wykewSlyjzJU0Ga7e0Sn+YRV5nr7NI8m4vuJAk9bikFJEAeMuQditEJVJItpKe/qvDnCssx0XLgpq07KLQLyKMiJcrP18pThr7FVdcwS677LJQiktY8mIEcZk1axabOHEimzRpUrfPIV1vzJgx7PLLL+fvv/DCC2zChAn8rRBAWkQn55LiEsfjgtIQJGNMPumbLDxhim++TP6nxQSG9lHZk6ZI9UJVmqSX4SKEIKrphqKOIlHlLRUqkcgzUlSWt0T5RZSOWZSxX2EAnagUWq+MqDQ0L2knVIUGc270MUexZFhVKipkyv3JT37CPvzwQ3b88cezt956i789/PDDbMmSJcrH6HlcYpSKVN5k/iF6AhZURaZiUTkdwTEHzbMyIMorkp3lIrkkJ5BsqcrMob8j9gtJz0hR6r0Q1aGjsrwlXHFRpxIlVlxUBv0JykSpVRqaJ0ZBFAXto2hoaGCzZ8/mxtsgPvjgA3bzzTfz/6OTKAjkvKiG53GJaayFrLdGwS6kWeCCqqqNW4riInvMgham7MycNmtKcqoWp6CHIWk4nyqjK8qraJcXWiqyKsxN/YGFKQFnQilPoRVEtpoUEMStAufokiAuAwYM4B1Dudh5552VnIMSPfK/zAoSICIPRFWWi0i/CL2G7DGLVLZ84mIPQVRFtkRGjftdRbKVrYCXSFj3lrrU7ZRNZEtQJorKSALR/qfWjk5OlpMEjoZVmJN640qqVGTVIYtxFRdlZRfxiovsXYiMMUtfnNokqBeyPS6CTdAqr7OI/IiUorJLo6D06uCuXIUJWtQ9rSPtV9SYMRfJ3jALMxRXZUdWyESzwLlDBBxxiehxKY/rcVGkuIjuKlJjdBVnKPY9LhaNWZFK5MX9C1HjFJEAoYqLqlZ5MaWA7BKGmntD6IGFmfO3pOYSCTtkMfvgUBsUl0qFkRVNmciKvoYQF+2lIhmAJ6a8vLxbdxLe4sJvh06ouMheUL2zaAR0FSmq+4pKcw1K8402qUSKdqiigv7UkgAZJmjZZEuckdEvu8j2bLULN0FDpUYZo7pCzmIHgkFHsSS9P4JBgTKP3gDZahRMbNe3tyozyYtSXHCcT+6RPohF6dXEZe7cuRLboRN6XFosVFxUqRcCW4vl+3IEdm9VqVGJvDELmJRVtemK6nRRqhKJ9D9VqfExBJNRk5qgs0lAhzTiEtxQJb0/eGRFVTl/TbwNZnKATCISoUTc0zVV5Wx9o7ruPlEel3xCAnJcEEQXBq5UFBLE7CtjlopUlV0ohVbEDabKtS6ytdg359pjdFXXKi/Sl1OuJHtGVKdLLtmSWcLwOs5E+HICv7fMuUNUpwuAjKC+lWXKxoyfFSdfS8ep1sGSnJCSbZV8VTx4VIgpXUWOuIQEThsG4j4gfjnAIvVCUU6AUJVIMQlIiVAClHVCie8qCk7EMkB/RzH+p/RrYA9CabwyQJN80uh8IgFUupG5oIrO6aDXkTl3iB4zdZ3JfA7ptaGciSBbKQXm7eBRITJT36PAEZeIikuSHBcV6oXY1mJFiosXjCZGOg2+pg3Juap8OUIzfpSVisQpLsEShlQSINBQnN2lI1G9EOi7UNUSLXrMvuLSYY1XJKXAvJ3V3u/aoe2CH0CXNMfFHjOjcsVFZHnLInNuyiOIqjqhxPlysBtrz6iRpntc4GNQUbIVdfBf9y6dDisCFdOvI3/MXlux4Oss8zn0Ws4FEYAaL3+mQ/5RIYJUIhFwiktUxSWux0XRial+y6uYs4rsIwH2heZ590abPV1FQaVJ5rj94yDE7lBVKC4iVCL+Ogri6EWdDK3SvE2kSLyy1SE/IFS04tIivyRnitoCOOKiyuOi6CwMkdHMKWUHFnaIL7soS6EVSBClh7mJK2Hwgxozz4LMcXseF8ELqkwyLlpxUUECvPKWAENx8HVkkgD/fhbsy1GhuIgiLlUKrrNh4XOAGU4bC3JcEntcFCgu6UAmcYtTjWKVSGTLq6rALpGdULJbXkUSRLTMYtybmtslmxnFJecG72m5plH7VCK/HVoUQZRfktva2imU1KoojYtuK04pILWeii+QuLgcF8U5LiZ7XOA3yAzTqkwUoWRLWTu0yDFXZE1ssomLSGk9TVzkl4pEjbkmU0JVoRKJUi+UKC7edRblcVHRVSQu+kGVKu4r4qJUonJlnVAiS0Uux0UR2hNG/nsStQLHujijq/yyS2dnl9eaKvJ0aOmmUYFmRhAVygeiaG2ZXUWiJqB+FhpdfRXRHsXFew5llre8wwrt8biI79BRYIL2nkExm5MaBfEPIrsRRUHo1u6DDz5gpYqkkf/+5CNf0uP+g/IyYTIkXpdKZaIRzAERqbjINI0GA5mEKQEKkpVFloqAlALz9lbRZRcFYxbfVWSf4qKCBIguYagoM/uHFYrNnmlUYM6VdQxCHMS+ehs3buQRvcEEym9/+9vstddeY6UI3+NSJuT00aSx2j3fYILYfGBCwCRBuyiRCC4gfQVEgyOsCwZqftptawfr37eSiQa8KHQ/iCMB5Wzj1jYleQyiW16lkgDBZRc/M8eiriIFXjOfbNlTdhHd7ZJSuHkQRQJqFAb9maS4RJ4Nnn/+eU5Qli5dmvVxWYtxqbRD0x+dTh+VwV5FL0xBEoDJWAZxCcq9yNkQZRpFFL2sSVN0SU5VN5Rov4iKYDThY1YQBCm8vFWlUgmwp3tLdAlDxf0svKuoWv68IbrELAKRn6yLLrqI/eAHP2BTpkxhdXV1HlkBcTnllFNYqaKtU0w7ND3MMoiL6Ek+iwRImoBEHkhHoDHLmjTpdUWV5FTJ1KJ3qJ7iosTjImjMChZUkWm/wb+X3DGLVgLkR9GLHrOKcEIqfQpXiVoVzBuGxP0DkUcyfPhwTl7y4b777mOlio6Mx6UyZqkIhAclHBhR8WAMSlXJM34JJAGpqgqp6oVo3wWQ4g9Yi3TiInLMsssunRmlL/izTDeNtmfaw4GURV0YfjCa4ERXmcRFYCRBtuKiooQhOHvGRl9Oi/wxm1QqirwKT548mX388cd5P/enP/2JlSqoHTpJ5HFKsjFQtNzLX0vypOnH/Ytj87KzOmjMogyj6deSO9FnnUor2Mcga8xBc7Wo82ho1yg3HVWsitjPwlIRkQCZUfSiS0VqDlmUo3o2qmjhtrlUtGLFCrbffvuxPffck40cOTIr6O3ZZ59lN910EyvFALr2hB4XmnzXNcpbUGW4v1OSpUiRhxWqyupolDFmybs90SZoFUoA/f2wWUBZTgSIbJJkLxoomQvfVXtjlqm4tEspu6hoOxdtdLXpkMXagC9HXtNHu/0BdLNmzWJHHXWU936wq6ikA+gSRv4DKcnR7qJbdIM3q6wxy5AhVSkuIo94J5OvNMUlsGsSYYJWcVRBULkQNSHLJogox9GUKOr+UHF6uOgFVcU5Z6K7XVSUt0ST2prMmLGvltb0QTlbBgXQRX6yjjzySPaHP/wh7+cuvfRSVupdRXE9LiqyXGgXKXJB9QxrklUikcQllfn9t9rkcfHIlixSK8cEreLeSFlEEIMLtehEV6mKi3DiIt+4LbpUFPSZwRMmiuBLLRVV+q8DI7ScblXxc0dSRF6FC5EW4Ne//jUrVbSRxyVBqUh254icBVXu6aMyHOuyszpEexiAlOTFSeThm4SU5F011e3lqHFyVSKkISdRZ1VuHmSUtzwS0JbOrbKiqygQ9yArvNInW2Lmu7KydOenClVc5NyRFLHkgzfeeIMdffTRbPz48fwN/58zZw4rZSQ9ZFFFhL5XdhHqcZE70XtsXsKYrSxvSc6eESn3yh6zrC45FQRRSrm2VX55S5gSkCEBeF3qZjP9OaTcKkB+F6W40Poaz5sjecwGmXMjX72//OUv7OCDD+bm1xNOOIG/VVRU8I89+uijrBSBHYMI4pKS3TkipU3XYpVIdqlIZCeU5KwOqSW5NntIgOwTgOVsHtLXuVXS+VvBe06YLyfw+0sn44Jzq2SSAE+9EDh31EruhpLh6UuKyCOZMWMGe/PNN9kuu+zS7ZyiM844gx1//PGs1BA8pydu5H/2DtUe74X0zhEpC6pkH4PgSPcs06jk1mIZ2TONVpURZRuKM+ULCYoLf/22DtZfUIdVtzPOBJa3grlVuCaDmVhwEpeZl0VGKaQyuVU2lWxrJLf4+6UiOafWx0HkkVRVVXUjLcDOO+/MP1eKoAckscdFkeIicrcnu3NEjrQu90GWF5onMy9HvHFbdueIzNInzptqk6BeyLifUcIgPiFjQRWd5qri/pCRSyQ7CDLoJZKiIrbILhVZrLg0NzezTz75hE2aNCnr459++in/nAkQneMSJC7JPC6yF1QLu4o8Ni9+zLKyOry2cwmheXaV5GT7ciTk5eQcvVHfT456IfLeQAkjBSWgRU6CtaxD9PyjCsSPmQgclJ3KBJtJlc9h8HBWoVlb1XIPtKRwQqtzXC677DL2xS9+kX3961/3yAuIzBNPPMFuv/12Voo5LhT3n9jjQg+F7PqpRX4RGa12srM6pHgvZCtbEg5KS0n3uGTyIwReZ5RD8AxjM4LFqb5fpfGlIroGIC4ynkMZpDY430lRiQJqnMjQNS+8UsKYmzP3s6y5o1HCugKVSEY+mPIcl29+85ts2LBh7MYbb2RPPfUU/xhKR4888gibNm0aK+UDFoEkNWDptUgJ7u+U5OPpZez25Gd1yFACVIXmiVdc2jq6uOcApEBG9oz4EkY528TP35JXdhFZ3vJ21ZtbpJBEWWfRyCzZyngGZR9xQvcziHOlQJ9SjcTOTzzbpBKZ1A4dS8887LDD+FtS7LjjjvzQxiCWLVvGjxJ45ZVXPBaGYDucg6QrpZf+cCAtSdi9b3S1iAQoMudKadO1yFAsO4tBSqko8DfDPV1VUWU82SISAOIiVQmQVHaRsYGQdRaNzA2EDJNrtsel3SJlq0Ki/0l8oKIICHXbIM/lySefDP31IC0vvfRS1sfQXj116lT+/3feeYede+65bOLEiUwnvHOKEjruZZ+FIdM0alN8fkpZVofAMVNJLhPYJfrMEY9sCfReVJSXcZUFagtI4oAaZsXiJDOgUFapiBZUGfe0jO4tVaUiqwzFsrxEVRLv54xKBB+RSJUoKULdqbfeeisnGSeddBLPaymEefPmRfrh9957b9b769evZ88//7yXztvS0sLLUTi8EaUoXSCPS1Li4gejSc6QENo5IlkJoCj6anvKLo0SFReoezLOHJEV2417GsRFxj3tGbdFl10kdvfJ6OyT7TWT0b0lv1QkWXGRoWxJu5/Lpc3RdD/LOEogCUKtcFBFJkyYwInLokWL2FlnnZX36xYvXhzphyN1N4gHH3yQTZ8+nQ0cOJC/P3nyZGaSxyVpxoF8o6uMVjtViosEQ7E0c66Mc3+yu12EExdJsd0Y94amNklmRjk7VJktr7JKRXLLLvJIbfD1bVAvVCguopWtGhqzBP+TrI6zpAh1BR9//HHv/yeeeCK7+uqr835dU1NTosHMnDmTXX/99Swp4IsJg+rqav4W+oDFhFKZzGA0HApGk6bQVrvAJC+jhEEGSbEhUtlZHaIlThm7PZBi5HVAbYGPYVCqyorYbplJtKLPoulWlpNAbGWXimR2FcnohJKluMhIoJVtdPWfwTJrVKJmASo+Kid4E7VuA5FHc/PNN8f6XDHMnz+frVy5Ukhn0ujRo0N9HQjYNddcU/Tr2jOloqSKi8wHubndf00Z6oWMEkaQbFmZ1SHcE1DBWtpbLauvyyMBsq6zTE+AvFKRfBIgfMxKfDmyxmwmCVCt5DcJ2Dwgbf/aa6/Vm5z73HPPsXPOOYdH/AOXX345771G6NuCBQsSqS04MqAsQaQ+YenSpWzjxo1F36644opQr9eeKRWJMufKOHMkeNOK3FUHX0v0gyGLbFFWh/SOBkkTvVUdDSpIgKQxyy0VySkH2Fl2kUgCJJlzZSouohXEGollRBGlIqyzYdZjrNthEfnp+uUvf8lOP/103unz8ssvs//6r/9iv/3tb1lrayu7+OKL2TPPPBP1JXli3gMPPMBfTwQQPicygI66ipLE/ef+8UWfOeKbqMr4UeeiAJUJCzQmZNElDFlkK5jVIXpxQumJ7gfxJKDC4gVVXu6F8Ile4oJKr+lKRbLLLu32huZZlD3TLMBQHNaSEQWRZzH4HMice//997Njjz2WnX/++d28MFEwa9YsToRyjxEwBZ7HJaEaRGeO4OXwYPTvW2n8wkQPMycugid6WWQrmNUhuoSRdUaK8C4MeVkd/nEQsjwuMspbnVLNuXIC6OSWXaSWEV2pyM/LkWiCtqmFu0mSUpsUkVdiMuDCSPPoo4+yM8880/tcXOMmykRnn302MxV0GFtSjwudOSLjJpNlvuSvKWnS9GVI8WRLlo9B1hkpsk/iltXW6B/Cac9E75lzDZXWe/QSyVhQJatxMoi4rFKR1DC3NgvLtW3y1pUkiHynIt4fAXEbNmxgQ4YMYUceeSRraGhgDz30UCx/Cr539uzZ7J577un2uSVLlnDfC0y7wJQpU9iuu+7KS1O6knNFnTki+mGWJZ0CKUnlAG/MEh6KlKSJPrg7Fd1hpeI0XWnqheAxyzpJN/h6TRYuTk02xeeT0VVim66N4YTijymoyHp9G1rllRMXHKSIQLrPP/+cXXjhhZysvP3222zOnDncqBsVAwYMYGvXrs37uTFjxnRL1tUB8jSIaKuVdeaILIOdzBKGrIUp+JqiH2av5VwKQZRjsoNiiDNH5BpdxY4ZHWx0KLvoa51SktVhEdmSZja3r4QhsxNKmqG4sjyr6QOJ1qVeKopMXGCy+fGPf5z1MaTp9pSoazsoOVeI4iLpzBGZpaKUpFOAZU3yMhN/ZV5nWadaZ5mgLdntBReOGqu8ROJziWxX4+Tmi8ghtTL8T/IUl3J5TR+Glooi/4Zz585l1113HVu4cCF//84772S77747D6ZbtWoVK0WIaoeW6VqXqV74E72cMUslAYKVAFkTpsy2xqAvp0pwGJ8sxYXuDYxX5A5SppcoWN5yh/8FiIvMUpEkUou/I3KmbCAuVeVl3qZaeDOCocm5kWcEBMl0dnbyWH4cgnjRRRexww8/nI0aNYqXjkwAMmV22mmnrLc77rgj+SGLAsyYss7vkKleyFqcZMqQsjwBMs/ukEW2ggFjon053v0sSSVCx5loyGqHbm7zs5lkeS+sKm9J9V7QmAWHQAZeT7TCLGvT06dPH2kZUDLS2AGsx7lrNNbtsIj8V29sbPTSZpE8C6PuL37xC/7+AQccwEwAVCGROS67bzuA3fKN3dmg2iphu2rRQVL+DkRGh46cCUiqeiFpcZJ18J9MsiUrW0QmqZWVMpp+TbnXWebBkDJTaIWXtyR6L2SptSDK4PZdXenrQl1GxpeZq8rZZgm5VbI6Py+44AL+FgQ6lRFmGwaRR9PW1sb/xdkDOLH5V7/6lfe5qiqx56uYgtGDavibyWFBMt3f8hZUieqFpPKWrIP/+GtKOkNHptwra1ctU42T1aZLiynymkT44QqdeC7yzDCZ5a3g64n2XsjKJeLqRWU5V8SFl/MlqURAir9mi/h72tBSUeQrOGLECB5ARy3Kxx13HL/5cRRAmIOUejtktY/KPMVTmgwpccyy8hhUdBWJLhXJNW7LVS+kjJl8ZhaZzek1oQSIPDMsWN4S/RwSgUOcBMi40MBNqde6gs/Pskq2cjx95VL8RLJKRUkRmQLfddddLJVKsb59+/KkXHQZPfHEE/yARVM8LiYjJenMEVm7pvRrSuockfkgSyYBojtd+GtKD/qzR71QUUZEizjKGHbcG/4eU+S1Dm5GRC9OpF7k/hzT5w5Z5m2pymelHLVW5tyhVHEZNGhQN6MrYv/xRp1GDupPiJaVxZD9ILdbI53KznGxqYRhp19Efqt8+ue0s6qKKuPvDSgXUDCgtuDaDLagvEVKAAI3Rd4fMnOJgnOo+GYEOWdvZVsQ5MwdpuW4CLXsn3vuuSJfriSRkpZC26HgQbZJcZHkY7CwhCHVS1Sd7b2w4d5AkCS1hYvcQMgsX2SVPwXeH7I9DDLyZ4K/v4x72j8SQnQzgpyzt1QYzk3LcQm1Bfv617/OD0HESdBIyhXdUtmbICv8yut2kXLIon2mUWk+BiWKi5zJR45xu0KK90I2CQDham3qFFqyldWdIzO8Uqb/Kfi6IpUAujcgEEEpssHTh66q1syZdzI3ak0WxWwkQagn7KCDDuKmXABhc7/5zW+6fQ12W5deeikzAegHLy8vL9p+pQOyzu+Q2VXkZUi02VOnprZw8YqLvMknJft8JYlqHF1rUcRFdm0d3osG1iaUJMoktbLi6GVHussI3PTv5wopm2gZ6kXWqfI2NVC0yXkOYTfJtZx0dHSIJS6XXHKJ93/E/YPI5EPuUQClkuNiBTOWOGmmvBOALcoXkWWwy5A3mZ0jGDNSO8sEeQ58NU78mDFGkBfcfzK8FzJyiWSF/cksI2aPucMK/5OswE2Zpc/sE8/Fk60+0lSiCv6vSCKe5SWqNCvHJfIVPOWUUwp+bunSpVFfrtfBzxexp+VVntE1U/O1UTqV6HGxzcdA4xZLAohsiZ/kg23cMtQLmSpR+udIKBXJuje869wufPMgz5cjfr4LdpzJUIlSnpLfLsdLJOk5jItYNOrVV1/lcf8bN27MMuTNnDnTGNXFVMjOkLArx0WeeiGtE0qietG3olxKaqdMsuWTxFax0rqkxM5uO9ReXnaRbb6U0UVJ5Vr5xEU8CZDhQZR1npzMM86SIvJVvPjii9k999zDzxZAnksQDQ0NIsdWkvC9F/Z0FdlY3iJpk7I6qgTJszJJAMoulNqZnjSrjTduyzqJm8YsrxxAY263IntGVtlF9pjlqBfy2oplzXdNshXEagndW4G5zrSGnMgzGRJylyxZwvNccnHmmWeKGlfJwt81WZSJkhkzDpu0hQQEyRB+jrAxSzZgeqmdQndOcqV1mjRllIqkLagS/CKyO3RknHMmv1QkPnBTlmFUZnilRxBlebaq7CsjJkHk2RxdRflIC3DFFVeIGFNJw+/Q6RCWexFstZPiFwm8poy2RhkTEIiKn9UhQfKVtDjJKHFJ915IkdYlky0J3gt/opdlKJbovaiyqVQkmSBKOC7EMxRblZfTnnlt84hL5CfsZz/7GbvlllvYfvvtx1ukg23H55xzDnvttddEj7GkkArkXiCQSASbld1qh1NdQQSgtuDBGCDgvEmQNpknLfPXrSpnrVs7JZGtCvtkasllF5EqkezOERkLqo1lF9lE3MYWbtqoCSVbnuJi0eahVV70Q1JEnn2XL1/Og+hWrVqVVfcSeWJpKSN4E+AmE0JcJLfa0YORJi5iHgyElZHgJLOjYeNWwVkdkkmAf2ihDO+FHLKVkpAGLb0Tymt5FX/uj1wTtBzVU57/SXyekqpSkdDylsRGBHmbB7ljToLIdysyXX7+85+z/fffn9XU1GQRl55apVXC5AA6GDD7VpZxtUVU7oXsVrtgYJeo3R4tpiokX1FjDqpEstoDPe9Fiz3GwGDsvzVKgMSyi/TFyaJSkYzATVWlIikbHpuOg2iTd52VBNAFMWrUqIJnEv3pT39iJsDkADogVVXBmtvEtY/Krq3LeJhpzPChoBRlg3waVImklYpkZnVIMwZK7GiQrbhYWCoSqmxRoKJFHTqyW4tlkC3pZfFK8flgMlVP5QF006dPZ//617/yfu7mm2+O+nK9En59vd0K6TT42qICjmjMUJ9kQfQONagS9a2QrV7Y01UkI1RR9q5a9DOoxksks1Rkz72hzrMlsFwrPQSywttcdXR2WeEzS4LIlPXpp59m119/PRs2bFg3c+68efNEj68kkRLsCZA9ycuooao4vCsluBVThUqUqpJX3pLuF5EyZrm+HKHZM4pIgE1dRXJKRbKJuLyuItlki4htXd9KZsOGOC4izwqLFy9ml112WcHPOag/IVqFiUr0w+w/FPaUt2RnuGR5L1rsMUH7fhExY0ZoIO0apY9ZYES6/HN/5HUVySYBckpFkg3ymcgKEb5BmeeFAWjKwNFmeGwwRwshLpI7KJMg8ohOP/10dvXVV+f9XN++fUWMqeQhOvZfZalIlLSuQoYU7RdRoWylBKejBommvE4osYuTijF794YMxUX2dZZQdrEpoVj2dSZyAfIM4i/i2sguFfXp04cTjC0t7eLmDsnp1UkQWe9GR1EhXH755UnH0ytAJknR5lwVxEX04iR1zII7R5QoLoINxbTTk1neEq0g0nWuwBkpkrxEotN+cZq37PvDuzekHMApOdFVYOCm9FTlwLUQpTDLJlsyvDkq1pW4KIsT+Y+guQ8++MAjK3ACowV5wYIFMsZYchB9g8nOYpBhDJTdzQCkJCkBcicfweUtBWXElODrLDsPRQYRx84897VNb+9XUiqqzg7cFAHZBBGHClIelugGCplzdEpwS7Q3dxiouES+ir/85S95uWjixIns5Zdf5mF0v/3tb1lrays/gPGZZ55humFyjouMU179fnv5HTriSECn9AVVlhIglQR4ZUR7dk2ilS0VZ6QED6UT4WMIEnppZZfM6yIIEsd8iFDQpJ8OLTFwU+qmp7qCtbS3WtVA0a/SnvlOeY4LHvKzzjqL///+++9nxx57LDv//PP5+48//jgzAabnuHgnRAveodaoYPMW7apTNpa3BCsuSkiAYDVOdh6KDB8DXWfs1LFjl4Hg3xCll/4JiQvKW6SCyFQvRAduqjD2eyRAeDOCgk1Pq/kWBOU5Lk1NTd4PefTRR7NOhHaR/3pOiFaxOIl+kFUsTr60Ljp7xh6Pi+wEWhmt8iqN26ImehULU5AUiTAVN7f7r6GCjItX5OQpzKIPO6XXkXlP9xNs7Kc5uiRKRbvssgubOnUq27BhAxsyZAg78sgjWUNDA3vooYdYWVm0G2nHHXdkw4cPz/rYsmXL2MiRI9krr7zC37/rrrvY3XffzTuWBgwYwP+P9F6bIfqAN08JULA4bbWQBIhTtuwjAWpUIr9LDgpGUsVBBQlAmQVEAGoLfAwDU1XGt47yzpHKcra5pV3IghokEn0r5G96hHf3yVRcBOf8kLIlVXGpsm9DHBeR//K33347u+222/hhixdeeCEnK2+//TabM2dO5K4ikJaXXnop62MnnHACJ0bAY489xq699lr2n//8h5Ok6667jhOlf//735FJkklIScpEkZsvIqeEIfdBtq+EIdpgp+I4CBozjbs28L6p4YT0dwRxEaEE+CqR3HkJfqI0cRGgEgXGjDPUbChhwNvT2pEhASrKzMKeQ/km+X6iN8QGKy6Rn7Lq6mr2ox/9iP3mN79hkyZN4h87+OCD2b333su23XbbSK+F7wli/fr17Pnnn2ennnoqfx8JvShFgbQAMP++//777KmnnmI2ww+SsocZe7kXbfbIkLJauJWoRMI6zjL+J4ljpvArQKQSIOtsJRknF5OZWnZYl8iyiwqviOgSRpDQK4klEG10VdFF2SJW2TIxgC729mDjxo1s6dKlbMmSJd7bt7/97UivMX78+Kz3H3zwQX4W0sCBAzmJeeedd9jee+/tfR7Gne2335698MILzGakJIWMKekcEZwRoKRzxEKjK5QA7C5tULZQwkgJlNZVRY2LVAJUdMmJLruoKH2KDoKkvxWawKhl2XSCqMIELbe7z7zqRmQqBUUEBAWkJQgRLYUzZ87kKguwaNEi/i/ORMotL9HnCgHG4bDqEd5UQ/Qpr36HjoocF8HtgUqkU8GHWUo12IntHFFRRqTXRwlDxLVWlR/hKS5CSkVqxiySbKkoX2QbXQWS2spyqc0gIk3yykzQlYI3xIKyZ1paWvhbMYRdt4HII7rooovYD37wAzZlyhRWV1fn3TwgLqeccgqLi/nz57OVK1eyadOmZXUv5RILvE+fK4TRo0eH+pk4uuCaa65hqiF6QVXjF7Gv2yUV8BKJINZeeUtB5whMrlAv+ic8c0RFfoSnbm1uEbo4qfC4CFMCFKlEIssuKjxbWUZXgV4i+feG+DHLNkGnBHarYv5BXpCIjdqMGTO4V1UkIhMXKB4gL/lw3333JVJbzjjjDM90W1NTw//NZWp4P5VK9fhaUIPC5LjoUFuAlGBzrsrcC6syUTIPcjsewo5OVp1w0lDR0pg+c6ScbW4W2zkie3ES6SeycXFSZiiuFLc4qSoViex2UU9q7TFB9xNozhXpJbriiisKHsycq7iEFR0iE5fJkyezjz/+mG233XbdPvenP/2J3XTTTVFfkifmPfDAAzyJlzBhwgT+76pVq7K+NqjKFAJIi9EBdJLOlJC5oKYC3gsRLa+qszqgXiQlLlsVtDQCqaqKDHERSQLkGuxSAo2BHhFXVHYR8Rwq84vQmAXeG/IVF4ELqqLrLLKBQpUJOiVwQ0y/twgvkQxLRuQruWLFCrbffvuxPffck+etBKP1n3322VjEZdasWfwIAepSAmDQxc9A6/Pxxx/vMTKch3TzzTczmyH8dGgFE1CW96K1PfGx6c0KHmZkdeCQvlZBWR3Nqhcnod0u9i2oVu2qFZVdRI5ZRelTtKdPHRGXcD8rIluNAk3QGLOJwbJlcUjGUUcdxVufUdaBd4DekpSJzj777G4fv/LKK3n5ad26dfx95McgAO+II45gNoNMVG0dfh0xLnDdmxSQgKzUToseZl+mFjBmOhjSosVJPQlot65UJHSiV7artq/tXKh6oci4LabjTM39nLKwsy8uIt+xCID7wx/+kPdzl156aeQBIHV39uzZ7J577un2ueOOO46tXr2al4aQnAsV5m9/+5vV4XO5NzBuaqgCcQHvBko3ua8rN7XTJgNmBdvQ1GaVTC1lQVU1ZhFR9KraoWUoAcp21faUikQmWKs47VyW6qlKqW0ScECryam5sYhLIdICnHvuuZEHgBj/tWvXFvz8eeedx99KCSAqleV9uOKCm6yexS+7NGfyI1SVA3jLq4iHWbUSIMR7oSarQ+ThkMoyUQQaMNX5RcSRLWUlOYFkywsnVKQE2KReBI+xsCXjp8ab6wRsHhQ9g3ERWyNEdw/UkGCJCPkur732mqixlTRwQ7R1gAQku8mIXVeU9WGVAo65L76rbkn8MKuK7c4+aFGcYU0+QRRndFVWdiESIHRxkl3CEB+Mpqy8JUQJkG+QF92MQGVxVQqiyHlDflm8IvPz7PESxUXkUeGMIrQtowMoia+ltwO5F5ua2xPvQlRKet4J0QknoOaAr0eVeiGk7KJooicyJ5IESI+iF5mOauXipGrM4pQA1aUiMeqFYhO0yC45Rd1bW9s6eFpvktZrnyCaacuIPJt9//vf54cg3nnnneyss87ip0JDfXn00UcjJd/JxD777JPV7QRccMEF/M0UiGq3U/Ugi0ztFNlqp8romhXbrSLMTZjRVa1KJKLsomrMIkMV1XUVic+esXHMyjJ+BBJEVYoL3Y/Bw0/jlopkbXjuuOMO/pYbixIWkUeF8hC6fQAYZseOHeuFzMBMawLmzp1rdI4LkBL0MPu7JvmSnqgETPLlqGi1EzVpZsd2qyphCDRBK+resmlx8ksY9oxZ5CGcyhREgeqFulKROL+IqkaEvpVlfDOIQggU5iTERXZ5K5+QAOED5xGGQeTtbrCjp62tzYvfB1v68MMPo75cr4WoJFqVR4+L2qF6bcUqxizocMigyiRbJRJ1OKSqw92yvUT2lIrEKluKSnJSSkWKiLhFpaJU5prAi9eW8LBTVZ19fTKdnyLmDgrbNLWrKPIMXFtbyy6//HJOWL70pS/xVuUbbriBn+o8ZMgQOaMsQYjyXqhqDxRKtpT6csSYRpsUxXZnt48mvDcCC4WqskvS64xFAt12toW52ejLUVYqEnhKuyrjdnbgpihVXP58VyOoGUFVx5ky4nLjjTeyMWPGsNbWVl4yQjszkmwh8/z+97+XM8oShKiAI5UPRUrQAW+qdiDZJ9MmNBQrVLZELaiqDnfLIrUt4siW7BJGSkLniE2mUVWnQ5MKAPUCHYU2lIooskLEHC3qlGWVnXJNpdYODTkKJ0ODsABPPfWUjHGVPETFM6u8wfwMCTGLk5IdiIVeIlEtr0GCKFslSgm6zjTmMoXGbTyDSU4PV1uS88suSU88V2U2pzHTuPsniG3wTaPl6iIrBDVQqOjQqRH1HCry5cRF5Cu5xx57sF//+tdyRtOLICq1U2VXkZ/oKqrsolK9EEQQVXZvJfQEqCSIopStYPu2dON2RlaHmRGHh4owbqsqFWHMRDxMV4mqygPHhQjKrVKj1opRxVUdsihyvlOpiishLgcccAD74x//KGc0vQiiOnR0yJDiHmR1xCVp54iqZFSRigtNXmoIon2kNjgpJ7nWwWdYeuR/8MRzS8h4lmnUkjEHf4aw51DhfNdk0RwdB5FXOxxy+Pnnn/OToXNx9NFHsyeffJLphg05LsI6dFSWigSd36HSnCtq16TyOqcEl11UEkQcGgqDbdwUZ5UTJlQAmK2hXOBaD054nVUYt0WNGeUtUplUzR0izjlTWSpKCcpyoQ4d2SnhIs+Fkr2BUJ7jUldXx7785S+zQw45hJ8QHSQI77//PjMBNuS4iOvQUakEiC1hyD6VVmSHjkoTtLidnvoyIv3c+n5lVkjUqaoK1tzWmuj+UBlJQNcaY04yd2R3nKnybbUk95opvNa+4VzMHK1ko1Yl5rgQ2eWtpDkukUd19913c5/LwoUL+VvuSc8O0ZSAxGcV6WgtFrSg9quyyKym0Jzr+0UETfIK7o2sg0Nb21l9v0qjO12CSsC6xmTXWqVxO7hoJ1FracywEUHBsWHMytVaUX4Rhc9hjaC5Q6VaGweRn7S99tqLvfDCC1kfa29vZ7NmzWL33HOPyLGVNHz1ImmYmw4DpiiVyB6zmkqCSNelvbOLl15ACky/zvRzNm5tE6IEqJowazJkPMmuWuViKuo5DCpbsk3Qosbcobq8JXjTo3bM7db44+Ig8ozY2dndyY7aFNqike3iENWAaU/NV3S+iMrOgORJkuqvc9IJSH3ZJbm0rnrMnm8rUalIXacL/zkCFlTV5S2RY1Z3xIl96kWNoDFTx5qpiosQjbC6upobbTZu3Cji5XoFRHXoqG0tttc0SlkdievUCq4zjK1oIU1qslNZKgr+HCF+EVXqhYAgSJVqnKgShuqSnB//kJyIAyrKWyKuM+Yclb6cGmGbS7X3R1SEoq333XcffwPmzZvHDj744G5fs2HDBk5gHCKyeWGlIvvKLpSjoWLMnZmsjrgET/XiBCWgtakzkclOdZ1axNk/qhM7RZi3VV9nEYuT6jH7pNae8pYIlQhzDu2XVJaZm0T5cgwtFYVaOcaNG8cOOugg/v9FixZ5/w8evDh06FB2/PHHyxllCSLlub9t6irK7E7bOng7ZdzWT1ok1LQHZne7xCUuyklAVQVraErmF1FOtgQsqHS0gnIS0NI7yy6qCWKi+1lhlpIoxSWoEtmiuHQGkqBNLRWFIi4gKkRW0GZ86aWXMpNhQ46LaL+IyrILT+1s74it8qgkAci9QHQ8dj7ohhqUqkpIAiqsUQK8e0NB2zmQEkDGlV9n6u4ToRJZVHZRP2YqyQnwbClWiZKRrfT3ovRbkeCoA5XhlVsDXiJZ11p5jovppMWWHJdgJkoS9UJlK2Z2amd84qJ80qyuYC3tyXIvvJKcMtNochKgXL0QSQIUG4q39tKyi7IWbsGlIrWlz17WcdYm/3DWpDku8imgQ14EJ4wkgW6qzhsBQK5o0kg00Sv05aR/jgjJV61MTQQpGQlQFzUO+LHu9pAtUnZsCqBLCTAUqzZBi2hGUN4qL7BUZFNJbqvCJOi4cMRFE3BTkL8s7qTZoaEWSYxexIKq0i+S/rn2+EVE7Jz8UpHi1uIWe8iWiBZuvwNDsXoh4HwllWm/osasKltERBelerJVIXDMau7nOHDERROCB4/F3YWozjUQVvfVJa0L6dBRF+ZmW+dISsikqe5cF/5zBJQDVN/P3q46gVKrXEEUcFyItu4tAaRWHdkqz/q5NpDaOHDERSOSdgfQzakqthtIJTRg8lwDxSSA1ItkJTnVrcU0adpjwPTjxpOX5FQbXZMoiKrLWykLs2dsVAJ8gmjPvVGT0/lZihkugCMuGuGXA9qT7UAU5RpkKy7xxtza0clLXMHXsiGlWPkZOp73wqKJ3vPl2LSgilMQVe2qhSiImtqhrSwVCemSU3uduzKdn0nWFSL1JsIRF43wDx6Ld4PRQqyqti5iog/uEm0y2an2EllpDPQ6oZIvqDUWei9c2UV2qUhPecumvJx+gZ8Td6NGGw+nuDhIOSGazkhRGRKUVPKl78NJwoi2t0Fxae/o5EqRHjOjPSpRSqAvR7UJOsmCqqscIMSca5NnS1NXUZKyi+r7uaysT+IOLtWHs8aBuSMr8QA6ESdEq97piVACdBi/vM6RuNdZQSBT4QVVgHqh3ONiz+LUr1IEQVRdwhDYWqzaNGpRqYg2lnS9gu+baiimn4VrFde3paK8pTyAzgbYEECXXfdNViqySXHx6qcKzikS1R1AY0YKLx1+aLri0tbRydo6urSYRkUE0KlbnMSV5FSbzZN1FWkybrd1cIN+HE+ealKLxG0ME34R3NNx5iz6G6m6n/37MH7gZpMCj4sLoLMYngM8dju0ekkvaRQ9fZ/K+mnSRNcmDSZoUcqWFqNrTLIF03ZrO3mJ1JYwEpUDNIXmJTKNtukxm3PTaMYvZjrZwrOeSjpHeyRAhw+xPWHOlrm6hhHm3IULF/IDGqdOncp23nlnNnnyZPbWW2/xz61evZqdeeaZbP/992d77rknO/HEE/nHSgFJzV86SkVJI9K3WjhmHe2BSdU48l2oVYmSkdrsXCK1ikuSLgzv/lBVdsn8HPiuoKzZEE6YfVyIPWXmfolVcX1zR1PCdcWZc3vAmjVr2CGHHMIuvvhi9uKLL7J3332X1dTUsE8++YR1dnayo446ijPff/7zn+ydd95hgwcPLplTqBMzYw2lIi8iPeaDrPrgPxGtxVrIVkYlimsaDU7yqlQib8yt6XJAklwiyPQqEDyLJc49HTxJV3XZJcni1Ky4vAUCTVlTscvMGhJdvU1PQn9cSks5vz3W97t26BC4+eab2X777ccOPPBA/n5FRQW7++67+ftvvvkmfwOpockX/weJefXVV5ntSB5Ap74dOqlpVKd6EdcYqOM6J8290Hmd21HyiaEENLd2KidbwS6MOBN9UKVRRWz5ScOZM2Rib3q8s4rKrPPHqRxz4o1a5vmlcrUV3slW9fOddaWixx57zCMthEmTJrGRI0eyJUuW8PeHDRvmfW7EiBH831deeYXZjqSpnVSnVsnmSaaN38KtwVCcMNZdT0lOzCSvw7gd13/h+S4UR40nWVCD3yPrJN283ouEUQo6yLifW5WslEidYDaUXRp1qrWtSduhzQ2g00qpGhsb2aJFi3gb1GmnncYWL17Mamtr2SWXXMKmT5/Oxo0bx78OBAZEBli+fDn/d9myZQVfF8djh0F1dTV/04WkbY06SkVJHwq/E0q93Bt/wtSRl+OT2jhdGDr8ACgHoMTT0t7Jxz0wVWVFbT2J4qLrJF3c0xu3tsVS5LJM0CpjCRK2yzdp9YskLbsoJIhVCTfEgslWS0sLfyuGsOu2duLS0NDA/73qqqu4v2X33Xdns2fPZocffjh75pln2KGHHsqNujfeeCN75JFHeDbLDTfcwCorK3vs+R49enSon3/11Veza665hulCUu+Fll1TwkwUHWzef5CT+0VUq0TUhRF1stahbBGxbWlvjUVsfd+FHuISR73QdZJukk65oG9KJQlIWhqn57c24PExX3FRT7ZSiZsRxN7TM2bMYNdeey0TCa3EhULiYMAFaQFg1D344IPZrbfeyqZNm8aefvppduWVV7IpU6awfv36sbPPPpv7XgYOHFjwdZcuXRoqx0Wn2pKtuCRTAmgnowK0Q4vbiqm17BLTL6Kj7JLbhRGZuGhUL9Y3xiOJuk6lJRWxycYxxynJaTBBC1E+FRuKgZQwo6vKzWVFQsVF7ObyiiuuYJdddlkoxSWs6KCVuAwdOpSTh1GjRmV9fOzYsey1117j/wdBCSbsQTY///zz2a677lrwdUFarAigS+i98M4qUir3JvSLeKZAlepFsvArHSQAZRf8XbE7xrUeHHtBVfuIpxKQRM/DYFGpSNdJukn8cToOZ+U/L4HigtIWGb5TOhTm2HO0PsWlyZB2aBmWjDLdigvyWVasWJH18VWrVrExY8bw/7/00ktZn0NLNMpERxxxBLMdog4srLGofqrTNBo3/MojW6pJQHX8ay1616SiLKf6UMjufqL4Y1Zf3opvztVFEL37OQ6p1RCoKGSj5iWF6+ii7Ij1/bruaau6ii6//HL2xBNPeB1E8+fPZ7NmzfLOFbrwwgu9DqLm5mYuO8GbMmjQIGY7krrsyWcSzHWQjVSVmKwOHd0MiXeoukhAnMVJ05iTROjr8oukRKhEislWbYLrTPeTymM3gj9vS4zrTM8tWsGrFJa3kszRUIkQDaA+3bxCiDk3ZXA7tPaRHXbYYey2225jxxxzDO8oam9vZ/fddx878sgj+edh1IWvBeUkBNKdfPLJnMyUApLUqYPfp7IzoF9OVkd1xBZQFedg9FR2iWNY01cOiF9f11GSE9VarHzMCbpd9I05vuKiK9K9NpGXSP0mLWknVPC5Vdv5Wc7/jTPXIVBRlyJnFXEBTj/9dP6WD7fccgt/K0V4kl5M74Vo93cYBB9APBhxiYsOJQAPZLyyi95ulyaLyi6e9yJWOUB3jos9alwSjwv9bVRuHoLXKJbiQiqRYrLlB9DFnzegElUqOnYj25wbv4wIuFKRQ17QjYFcBWRf2LALwQNIZ98k6hxRPgHZWHaxb0FN0vKqq4U7kcdFk//J97jEJwEq01yDikusMWvybPklOZuU2vLY3ao6AhWt9Lj0ZgSVknglDE0TvSdFxt9Vq9+hxg/O00a2EqQU+6Ui1X6RJIZiCnOz8d4os67sol5xSVDe0kS2UpkxJ1OJ7DHINwXmZ5WBilaWikRjn3328TJiCDD7kuHXFASTRrHQFE6mKWL8Ur3bqyxnDQypnfbkXiQ5uZhIgEovUXLFRQ9BpIVlq02KS4JuFzL0qja60pjjGV11mXPjX2d6blWTgCQqkbex1ES2thq8GUbESTDmBOgpVLZXEJe5c+dakeNCNwgnLhEfDF3tgUnzZ3S3j1pFAhJ4XLR5iQSU5PTluHQkWFA1dULFIeItmklAIp+Znk6oZCZofZu0rojeSVVm83xCAgLo6uvrQ32/KxVpRtwuDHr4K8v7KG0PTBLYhYfIm+hV71ATLKi6OkeSZEjoatP1SW38xUmXOTee0VWv/ynO/ewd/Fdtky9HfUp4+ufFLxXpa0So4P8irSJotjU16TcOHHHRjLglDF2TfJIdKpSlTHVLGwmIVcLQtNvzyVa7PeoF+XISlYpsktbbs9QEG7q3mrSXXZIoiPoMxVFzq3S1nddUIRGZxSJcOs5WigNHXDQj7gnRHjNWPGEmKbsEf0fVfpEkib/a1AsbS0XUhZGIbJVZc2/o6tBJUq7VcUJ70iRoXR4XGnN7jM5PXc9gnz59PDIelSTakJoLOOKiGXFPiNbJjOOe30EmV7RTVyjMNUhyfgd2WfrO0EluDNTVppvEL6JrQY0TBKnPNJqke0tv2SWWeqG5qyjOc6gzgbaWSlzNcZV8VypykHBCtE5mHJcEeAFjGsYcVyXC2UY0x+pSL6LWqbW2nSeIoqfFKaXN6BpHvdBVDohPaql8oMvo2hnjzDBdBBEtwXH9cToOWMx9DqOWinSR2qhwiotm0A5iS9SHQtPuNPgzoy5OuqTTJLvq4O+ozTQacfIJqkTKA+gyO7U4HhffuK2nJIdrhjDIOPe0eo9L+ue1dXTxaATTD/7LLQ9H9vRpUlz4z4yZ5aLrOidp49Y5R0eB2XpQiee42HqDxfVe6OrAyI7Bjned+1aWKQ9kSsVUAoIm6L6WeFx4x5muTJRgEGRbRyQS4ikuqklA4OeBXFdVVBmvEpF6gfsZYxhSW2284kJlubVb4swd+jaXqZit56pKRS7HxfIcF69WHTPHRStxiWr8atP4IMctb2nqdEliGtVpgvbUuIjnbwXJlmriAlKKYaIkCMIVlrjg99PlY+BHb1SUcbUF6taAGvNVIvrb4ufHVS90koD4Y9anuGyO6HFRVWJ2OS6WI+5DYUSpKKL3QlceShLTqM6289jlLZ0m6MyYuyL6GIL3v+prHezCiHJ/tATTqzWUA+K2RPuKi74FNbpaq897ETQV20ZcGiOvK1SSM7tU5DwumhH3BjNDcbHnQY6biaIr/RJIxSVbmsoXdDAbiSxRlCIiZyAtOArDBnWrSaOyFXdBzVKJtPhF4plGdSqfsUmAppJcErLlrSsa7ucocMRFM7y2tZgkQIt6EXPMWjuhYp7yagJBjGoapb9LSsOECR8DKSZRlCJdicpJSom0KKDUpFrZAlIxiG1rR0Al0vIcZsYcuUNHn9HVV8XjlZltGnOTRiU/Chxx0Yz49VN9i1Od4cYvKaUijeWtqC3RNMnr8DDEjdDXWQqIe3/ozOmIe9BikDDYpF7onO/i+hC9duhKfWPe0tJmzXwXBY64aEbcGGyt9dO+ccesb3GKe76Srrj/oGk0allui2YSEEfdatRMAuJ0Q3l5KLquc4xYAiKTuLd0lOTilIo6O/3yls6Sbdyyi9526A5rWrijwBEXzUhq/Oqn8UGO6lg3Qb3AGDARhgUtCjrGHNc0qqutOEnOj27FxW+X77BCBeA/11MCoqtxKU1j9s254e+NoNpoU1eRZ3TVWJLbElPZMj051+zR9aIcl80WSad1GcUlrgxZo+GhCC6ImAjDLuqNms1qmPQw+UQqu2g6+K97t0t0sqWrtu57XKKQLb1hXakYSoDXjahNjYvuvaAxQ32EUmRbecumktxWRWTL5bhYn+Nin+JCY0a7a3tHZ2hjoq4YegCGUSjjEFtwrUMTl8zfhcpjqsHHubklouKir7yVfZZV9A4d3b6caB4XzcqWd15RhDFrVlzitHAHxxw2F0g32UK+DlKN+fdbpBI1KTIUuxwXyxH0A0QpYXj1U40PRdRdtU6yhQmPFsVNEUpc9OCTIVk1qEMn0q6ayJZm70WUBdU/P0efshXV46Lfl0MdOu32dG/FMPb7mVV6PVtRnsFgCKSWzWXfmMSFYglcV5FDaBIQ42HW8VAgsRNvwOYI5SJd5+cQ6vpWRn6YfaOrZtNoDBKgWwmIcnCojeqFrrh/QipG95bOXCL+c2MozDpzZ7JU8SjXOZMSXlnex5srTVfy2zs6ebs84HJcHHpEdUUZq8i4+6MsqDrzRYIKRJQx6/YxxDnq3RSja5zrrC8TJXpHg86cDv5z45SKNOblAHFOLdZvzk3if9Lty4nuf9KRuJ3d9BHhfg6YoF07tEPxEkbfBLsQXRNQjDF7ZRdNfpE4pmJjxtxsjzk3Tuu5blIba8yGKAHRvEQ2qkS6yVac+Vnv5qE2c62goLS0d0TaDKNNHhtqk2H26HoJUt6uuiNyroEuZpyK0RJNi6+uBZXIVjSPi95J0ydbMcasPYCuwzpzbjTPFikuessucZSAlGZfThzPlu5OKFv8fLnKZdhxe9e5slyLCToKHHExAFEZfXOAQeuST+OYvzZr7tCJUyra0tymlQSQL2dzZhxRShjazLmex8Uec67vJYpOEIlA2HRMgY0kIKU7L6e1nZ/1ZEPGT0V5mdc6HnZd0U22osARFwNAD0ZY9SL40OuqoXqx/yEfCjzwjZo7dOKoF3StdZWK4pxl5ZMAe3w5uqX1mkQeF90kwJ5OKM/jYlFXET2D4Cxh7w+dSb9x5w7dzRNR4ALoDEBtZlcddgKiGxE3Jg610wFSTcKSLTwU1O2tS3GJ01Wk2+haF6O8pbvl1b832iwqb8XxuJB6YY8JWntXUYzQPC/HRWMkQdQMKBqzThKQqq5ga7e0hp7vVPrMXACd5QF0cXYhur0icZz2NGZMALpUIi+luDm8SrRFs9E1XieUXr9IHGVLu18kRoeO78vR5XGJoV5oJgH0cxHOhpC2MK3CuhUXOnoDpW7c09tEMkFX2KO4tKojWy6ArgSQiiitU3aKrvIF/9kRF1TP31KtJ/2SfnYUJQALE5W0ay3yuOg+ZLF/RDXOpAU12incuo8p8Mtbkb0Xmn05kbwXmu+N4M8ObXTVfFRInFKi87hExMKFC9nxxx/Ppk6dynbeeWc2efJk9tZbb/HPffbZZ/xzOH/owAMPZNOmTWPvvfceKyV46kVzRMVFI3GJGspkgkoU1VBMD3yZpjNS4qgXbQiRau/UrBIR2YpRktOeiWJTh056zB2dXawl8zcP73Ep12YapVbb0M+hZsUleK3Djlk3QYzT9NFkkcdFuzl3zZo17JBDDmEXX3wxe/HFF9m7777Lampq2CeffMI/f/rpp/Md+pw5c9grr7zCjjzySHbEEUewlpYWViqgxSnsDbbZoFJR2MXJ8+VoJFukBNikEtG9Ed647X+dbl8OVKIwSgAWXs8YqDlfBAQA5M+GAwuDSk949UKvSpSdPxPN6JoyYMxR1QvdHpcoc4fuQEWriMvNN9/M9ttvP66mABUVFezuu+/23p83bx47+OCDWVlZeqhQXJYtW8bmz5/PSgVRD/HSHYoWR70wgWyREhBVcdE5Zr9UFHZ3mr6H4B2oDHn4pWjQfQkfQxglIGiI1Z3xE5bYgpDpXlARFEZKYGQSoIlspX92tLlDd2henDOWTDDn1kZMKaa5w7VDh8Bjjz3mkRTCpEmT2MiRI/n/USbC1zQ1NfH3H3jgAU5ihgwZwkoFUWuRwa4iXYjaDu0rLumF2IZOKJNKcrh+YQ7h9EsuGid5foovC32taTFFSU5XYidIHpnGw4wZhAxKkW4SELVk65dd9N3TUctyugliLLLllV3sK+fXaZyjw0KrJtTY2MgWLVrEOjo62GmnncYWL17Mamtr2SWXXMKmT5/Ov+aee+5h3/nOd9ioUaN4p9CqVavYjBkz2OjRowu+7qZNm0L9/Orqav6mG8SMo6oXdVaRgIyh2ICab1ijq+7DCnNVNXQ49S/yNzdhzGjRR+Q4Sm241kPrqkO3nOtM7MS1RslqU4j7I7jo6iUB+NmtoUmAf631k62wree6zyqKVSoyYMypiGSL5kXRSj5sHWGsHWHXbe3EpaGhgf971VVXcX/L7rvvzmbPns0OP/xw9swzz/Cy0FlnncVWrlzJli5dylKpFPvLX/5SlGz0RGqCuPrqq9k111zDdCNqCYPO2jHB47LFJpUoUN6C1F9skdR95g8ABQInzKLsgh1RMeJiQnmLrjW1j5pucg2OefXmlkgqEUo1KNnoQpQ2bpi2cR+lv8+EuSNqeUvnmGlzGbbsYlA7dHO0OVo0cYHQcO211wp9Ta0zRXl5+mY46qijOGkBYNSFp+XWW29lQ4cOZX/+85/ZP//5T67EAEcffTQbPHgwe/bZZ9kBBxyQ93VBcsLkuJigtmRFSkfMRDGiHTp0C7f+sgtdLyj82FkXm7xN6IQCuYKytr6xNdSCqjswj8DVwI3N4cZsgIchauu5F/KnmWxFUQKCCocJHTo2KS5Ry/lbLWyH3ixpXbniiivYZZddFkpxCSs6aH3qQExAHlAGCmLs2LHstddeYwsWLODvjxs3zvscvn748OHs0UcfLUhcQFrsCqCzr6soeDp0KPXCACUgmIAJUlKUuBiQH0HXDMQlzKnWxow5QnquCfdG1A4u3bkzscZsgHEbSEXIrcoyQeuc76piztGG+OMilYoyFQBRkGHJKNOtuOy///5sxYoVWR+Hj2XMmDEeoQl+Hn6Y1atX85bpUoHXtmaRekEPRdjOERNUIpArGneYCH0TSnJRY/9pF6srzTXOmL2wLs35EVSGC0O2dEfnE/r3S485jC/HP3xT7/0cRQlo7ehk7RkTtAmKS1gSQPd9sdKuSebczQasK9a0Q19++eXsiSeeYEuWLOHvo8151qxZPBL4S1/6Eg+ku+WWW1hnZ3pxvPPOO9nWrVvZcccdx0oFwQ6dMLkXJpQwUgG1IszDbIJpNOp5Rbqj8+PUqr3rXGXIdQ5DtqxUXMy4n2lh3LS1zRqC6JfGO0K3FRvToaPZ6Coz2HSzAZvLsNA+wsMOO4zddttt7JhjjuE+lvb2dnbffffxoDngqaeeYj/60Y/YvvvuyzNeABCdvfbai5UK6AbDxqK5rbNoH71voqrU2jmClltMhniYh9RWG1/eyjLoRiEB2sdcad2CGoUE6D7NutuYI5Ba3SQgkhpnCKmNorjQvQGTuk4TdJTI/5b2Dk+FJkXMBkPxFiIugktFJUlcKB0Xb/kAv8vDDz/MShmY/GARgdiCc4jCExf9PgYQlyiLk24Z0q/7hvCLGFCnzu6GCuMX0R8wFlQRw5VdDBlzjFJRSjMJiFIq8hQXY65z8XmDvkYnAYga+R/8vfRmbVWGJohIi6b0at3rihWlIgf/9NGwjN6EUlHUuq9HtnSXXSJ5L8zyi0QhiDYpLrrPKUriyzGnVBTe/5TSTbYy13ljiPIWETL6Hhv8IlS2w1ynVyUq5/+CkFBYYiEEFWjdG7UwMH+EMYADGanVuqdjtE0CHgwsOsXYcXNbBzesGaEERJF8DVEvovhFaNFNGdLyGoUE1NrkJTIg8yKqEuCVXTST2v79witbfklO75jrI6hERAL0Ky7hN5ameEVSgecJz1hPRmG6N5BLpKLj7I477uBvQaDxplcTl7lz51rVDh1Figx+PqV7QY1wXlHwwEJ7zLlmkK1IHhcD4tEBv3srTLdLh2HKVvi2c/2+HCIB9vifiISEU1z0d+dETd32VCLNZKu6ooxVlPXhXVnFwitpzKp8k/mEBOS41NfXh/p+VyoyBGGVAPo8jLE6ZcgoSgDMakjtNMH4FUzPtUe9iOJxMWNxstqcG6HtXOeZUMESSpiuIiIKpHhoV1wijFk3CaivSf98mG6hetuguPRB/EMgbyucMdcOLcMRF0MQ9vRREzqKonpcgvKqbmk9Stlls4UkoNFCZcsUc26s1mJD1ItQSkDGB6ObBHh5OSEODqW/RX2mJKYzgI72icXuD6+8ZcIcXRVujjaFbIWFIy6GIGzKoQmJjFE9LvR5JNdWaEzsjCL5Ik+Hxq17FxJFJfLUC6vKLmZ4iSIpLh5BNOQ6hyABnnqhee4gXw7voixyrX1zrl4SgPiHsCUuk0hAXci5A92spqwrYeCIiyEIG3BkwmGFUU+I9kyuBo252IMMJz6tA7rHTYdw2qW4xCi7aB9zpfe3R3toT6D7p5/2Dp1KjwTg9PAwJEB3qai6opybQINjMl0lAgaEJi5q/SJh7o9iY7YpwwVwxMUQhE05NCGRMWqpyJTcmeBus6iXKDNm5Ovo7sKw8wydSq8M1F6EBJgzZv/nF7s/fNOo3jH3rSznZw+FuT9M8YsEyVOxBdUUxSU45oamYmMmsqV/vquviTZmE+boMHDExRCEPerdJMUlbKnIlDN/0mMI573w4v6rKooeIGlKeQsGaK9V3pCuojAtpP5Jy3oJItpASQkoWsIwxOgaxaBr1pjD+Yn8dmj9c0fYUpHqDh0RKpEpAaFh4YiLISCmW4wEmFQ/DVt2MSXun48hpHrhdW8ZMGaa5NHRQN1ZPZVcTDC6QgVAO2aYcgC1Q+s2uma3F7dZ0aEThQRspLJLX5sUF3PGPKCmKtyYDbrOA2rsK2+Fgf6ZQgJsDKCj3WbYsgspBzZ4L0xi82HVC5PGHCQhGNegivQE2tO5LrpN0DQJtmxp6fH+MEklog3Bms09jxmlL7rWJhCXOq+zKKTHJbOY2XBUgSkBdMHOpobQJKDCGLLV0NQabkOsaPPgAuhKJIAu7INsSgJtpNA8gzICPI9L5iTuQmUgU6LzAZAQ+GzgF8GkOChVZbRXJHit13LiUvieDiqMujuhwp5XFAx7629SqaiHMfPEbTr4z4C5I7rHxZwxFy1vGXK+UnAMxTwu3hyt6Dq7ALoSwcAMM95QhBmbcuZPlEO8TFIvaAzoGKJDxfLBlFboKPkzPtnSTwDCtmLSwgVipiJqvBhogezpOtOYU8aMufiCSp9DFokJJVvfl1P4OqO9m+4dE0hAWLJllOLSL0NcQrdw67/OYaD/qXOI5P6mh8IkElC8E8ocjwuyZChIaouFJKCnBdWUwwqj+IloQqUJVjfC5M+Y5G/JPq+oONkCAdBtNg9LApBNgzZvc0hAtLKLSR6XTcWIi0GbyzBwxMUwxaU4cTGHBHihea3tPZ4+apLiwmOwvXN0whAX/WMGakMk0ZqS4ZKryPVEAmgRqM/c/+aMORwJMAGe4tJjecs0shVizJnrjE4vZL/Y0FWE8vNmg8pbAzyyZY9KFAaOuBgC2nFiYeop/MqkTBRi89gV9cTojVtQI5AAU0pFfgmjh+vsReebMWa6R3siiBtNVVxClLdMIQF1IcoufmquGWMOQwJMynAJqxLhGaQ9nAnEdgAp+VvtsSCEgSMuhiAt4bKi7Ngk4oL6Po1jfQ/yqUnZM1neix4WVJPSfqP6RUyYMMO2y9O9PjBlxpjDnP1jGnHxxtzDIZxEaowZc4hEV5NSc8O2FtMGrrK8jxcHYIIFobmt8OGQaZXIeVwcYgAnPfuMvgcS4JWKzHiYqcNlQ2OrFeWtbCWguEqUssicS3+DQQa0u4bt0CHiUp+RtG1QiUwKcss254YhtWbcz2E6dEzqKMpVXLDY50OQAJjgJaoNHA5ZiHChSYFK/SZsiMPAjlH2ghwXkssxkW/oQXExzUSFnIDP1jX1OGaTPC5BP9G6HsgWpbma8iD7JKAH4pJRvSi7wYYOHZKwaTdrw3U2TXEJQ8SNI1sZAkWheKZnuASvXVtHF1/sa/KY4E0jW2WZDTHmZ9y3w/r3LbgZLlN4vInLcSmRHBdvwQEJKLCgtrT7WQymqBe0u+9JcTHtAK/BtemFff2WwmOm3asp1zlMcB4Rl0I5LyaW5DY2Gepx6alU5KlEppW37PG4eIpLiLwcU8acbtnvw4kLNpj5iIuJCbQDaqo4cSlkQaDrjDlGlUrkclxKCL6RKv8NFlwATFlQB2YWyVAeF0N2IbSwr29sKfg1pMaYQgLCmBk3NLYZpV6ESVb22qENGXOYtnNPcTFkzKFyXEgJ6GcWccFGrJD3wrTyFhb1YgZdrxXakDFnHw7ZWsQ3aca9EQb63UMOeVqie77BEHwFT4wJGETBeQUUl2CIlClka1Cqmv+7vofyFpGawZmv1Y0hpBL1oGyZqrhsCtMObYjHhUiATebc4HUu5L0wzbidCngvChEur1Rk0IJabANBYzZFXQ6zIbatFRpwxMUgFDs23TO5GnSDeYpLgQU1uGiZsgsZlOlgKaS4YPKn32dQhjDoBpGRdVuKExciwDaoFzYrLqaQABoHShg4iNOGriJ4L4qSAMNUoqwk2iJlF1PmOsBTiYqsK464OCSM/S9QKjJMuQgz5rWZhRYPhQkhUkHFpRAJgAEaiwAw2BD1gpSfdT2QLdNKRVH8IuaMOT0OnAuFwxRtUFygwBZTL3yPizlzR7HgPJNOWQ7bDUW/i0lllwFFCKLfqWrOvVEMTnExCH5OQGsRxcWch4LUi0JnLK3bkl5oh9SaUXIJkpFCKhGZdmHG61tZblypCOW3XGChpVOWTSkVEanFLjRfqCLIlh/5b8aYg7vOQvkzpnXowHtRV4wEGJacC9SHVlzMWVBDe1wMmqPryYJQYF0xkWwVgyMuBhIX2jnbsGvyFJcCJIBMrqYoF1nZM02teT0BphlzgyU5cJZ8tWoijlUVZfw8JlPuDVIC8pFEEAPKjzBFcUGoIiLmC5WLMF6KJDCJBNDiXih/xrTyVtaYC7REm+hxqQ/rcTFojh5QpLxlWvNEGNgz0t6Q4+Ix40JlF/PUC69Dp4jiQi3IJo0Z5SBM9LkL0HoDyRYWVIwTEyauaS6pIrILs7QJwVfkY0BZDvct3nIzJGgiRcKoKcoW7Tyb21ryqhfBEoFRxIUv7lvzljCCBnmTxhy+Q8ce9cLEMQ8okvirw+PiclxKKMdloHdCdP6HYu1mIi5VxpEtPBTYjeZ2O5HHZbBBZAuLJHwBOFcEJKU7cWkxTnEh8seJS2Mr265g+Jw5Eybdq2ni0lr4nCLDxowJfM3mlrxKAI05nelRZqBfpD3vwkTCoknqRbE2bl9xqTCQbBVQiQzs0Kkv2vShXtlyOS4lhGIneZLiMrTOHBIQPGgxH6P3VCLDSAB1C+XrLPJLReZcZ2BID6Zi01qhCXSvEukOgu5zU/wtYTxQphlzwxihaTFFCRGlRBsUl2BJziT1wkaPy4AiiouJTR/FYM5d7MAGZIyuiJPOF8pEu1aTSkXYddKOKN9Ev85AxaVYZxGZc00qb2W1ROchW+QxMqUVmkD3ar4xk9xuSpBbLtlas7nZGuJCi3tPKpFJJlegp3boYNimSeqF16FTQBU3MROl3tsQ91zeMmnMxWDESBcuXMh+9KMfsfXr17PVq1ezuro6dvvtt7MhQ4awyZMnsx133DHr699//312/vnns+uuu46VEnCkOEot2G3gYc6t+5vocaEFFRJ1vs4iWrBMG3NPu2ovw8Uw9YKIVL6yy3rDTlnOvc75xuydDG0YcdmmLu3FWZ1HJTLR5Fqstdi0LqhuZKsHlQhGaVNiFIIku7A511zFZVNze95yPm3eTCvZGk1c1qxZww455BB23333sQMPPJC1t7ezww47jH3yySecuHz1q19lM2fO9L4enx89ejQ76aSTWKkBpkowepQqQAJyzYymEhd0vCxe11REcTFVvchHtkwlLpnE33zqhWHhc4QhPZaKWo0sFfmKS2HiYhoJ6CnW3bRzigik1OYjAaaOuadSEVr+oZabpm7VB+5VkFjqUCSsziiL+Q5gNBXar+7NN9/M9ttvP05a+IAqKtjdd9/Nampq2NChQ9kNN9yQ9fXPPvssJy4777wzK0WA0WPhzPW5gCkTMRhSZ9ZE31NLtE+2qoxUAvKN2cSuouB48pa3DC8Vrc1znT2Pi2E7vaGZMa+2iLhs0z895lWbWqzIcMkOc2u3IjU3N8wN3VronMu9n9HUZ5JfpLK8jI8HXpaGHOICskVqqE3ERbvH5bHHHvNIC2HSpEls5MiRrLKyko0aNSrrc1BmzjnnHNbbziviwWNd6YeCzgcybcy5LdE4QI26HEw58yfMUQWml4rW9VR2Ma1UROWtfIqLYYcVEob2L6y4mFp2GZ5ZdFZuLOzLMY0E9ORx8Usu5hCA4JgxF29pzSZcdO1BfCsM6jjrSSmiexynXpu2rvQErXdFY2MjW7RoEevo6GCnnXYaW7x4MautrWWXXHIJmz59erevhwfm+eefZ3/4wx96fN1NmzaF+vnV1dX8zSQUCguiGww3l2kPBaXn5o6ZCABqqqZN9D2Xisw6YDFM7D9da2pPN029IOXNhq4iGxUX2i2v2tRs/DlFudd5zZYWHgQZzB+i9HDTyBZ8h8gdwplQOK4iWMpasXEr/3fEgH7MNNT3q2TLG7Z22xDT/QJfV1A9EomWlhb+Vgxh123txKWhoYH/e9VVV7EXX3yR7b777mz27Nns8MMPZ8888wybNm1a1tc/9NBD7IgjjmADBgzo8XVRSgqDq6++ml1zzTXMJAwocPaPqf6WntQLGjNIgqyHQrQ5t6m1nTW3ZaLzaw1VXPKWXTIqkbFdRemjCoL3AS1OppWKqOwCL1GumdFU4jK8vq93nVvaO7IMrSYmbhPZAleBMotyRTDmYUVGvSAlySTgfkVJDtc1uNLQmEcYOuZ8iguVFumel4EZM2awa6+9Vuhrar2TKd32qKOO4qQFgFH34IMPZrfeems34gKTbq7nJR+WLl0aKoDONLUlK4QuJ5nRIy6G+VuCi2WuX8TEuP9uib+5Y86UYZB3gZA6k0DXEUoFatPBADQiuqZ5XOg6U6dcsL7uKy6Vxilb4CooB0Ddoi4jk4kL5g3csyABqze1sNGDaoz3i2C829RV88Xz84atWcRl+Ya0ejHSQPUC9wPGDKKyy6j67sRlgLnEpSFnQ+wZcwP3uGhcccUV7LLLLguluIQVHbQSF5hvQR5yfSxjx45lr732WtbH5s+fz1atWsWJTTGAtNiYnJt1gzXao7gMKOBxMfGAxWJll6Ax15To/OB1pgUVJHGbzM4OmT/UzWCaxwWLEx1VgHs4i7gY6nEpDxxVABJgA3HBvTqsfzVbun4rl/+DxIXuadPGTMSEiMvuo30l/fNM2WWUgcRl24H92HvLN7JlG5qyPu6VijLql0moLxBuSqUi3DuyIMOSUaZbcdl///3ZihUrsj4OgjJmzJhuptwzzzyTlZWZ5e+QVypqNT58rtuhhQXUC9NaoYNlIJSFUB4y3ZjrL6jdy0V0r1SU9TGqm4FAHWXwMhDgaYBHwERfDgAlIHfMJhtdgRH904v8yhyfC6kXowaaRwJIUYH/wpYxEykESQzCU1zq+xn7DK7KCVX0S0Xmka2eoJ0FXH755eyJJ55gS5Ys8ZSVWbNmZR2ICPPuAw88wM466yxW6vAUl5xaJHVlmBT3n2vO7ebLMTR8DkAZiOLPg106pma4EDziEhiz1wptoEqU5XMJjBkKUWtHp5Gloqwsl5z2YlMVF2BYfffOIviKlmVIwOiBvgpjCkhR+bwhe8z0vqmKC2CT4jLaI1tNBRQX88bcE7RvzxA2d9ttt7FjjjmGdxQhYA7qypFHHul9DTqJ0CI9YcIEVuoo1A5NOz8TSQCNGZN6e0en1/VksuKCBR7lIOySsPDTg03hbib6cvwS15asEpepCbTdsly2dB8z2jBxYKGxxCUwZn5+Tqa930TiMtzLcvFJAMYPggi1zsQFdWRmTCgVBTc8GDM4OJmOTQIRwKUZQkhka9XGFmO7isZm5rfP1mUTF5RCZZeKSpK4AKeffjp/KwSk5+KtN6DQSZ5+qajKyDFjksFBi1CK/B02HbBYbax6QcTF9AMWe8pyMTV8jkD3bD7igtq7iSqRVyoKtETT4lpVXmakIke75pUBlYh22CAtpsUoBEtF5GkJlolgGDXpBG7C6EEZxWV9k9fGjXmDyBbdOyZh7OCUV5ILGvupdGSb4mLeXdHLQW1pmOSDBy2abM7FhEh5BkGfi9dVZCDZAvL5RUw9YLFbem6W4mI6celeKmowtBU6V3Ghrgtg4dpG/u/YwTXdznsxAaROrAqUipZmyhkmlomyiEtAcfHKRAb6W4BRA9LXEqdXU0YOledAWkwkW9vUVfPSOFRDutZYX2gDIbOrqGQVF9HYZ599vFZrAjwzQd+MqUAoE07phCS9eF0j23F4f36zkXphoseFSEC6c6SVbTcs25dj2snQPcX+m2zODV7LbMWFUnPNHnNQcdmQGbOJ/haAOomCisviDHEZNyS9ezUNlHmyYpNPAshASiqBaSAPC+YNLKQIeFve0GSsvwXoV1XOyTjuZxDD+pp6TzEabqAxF0B+0phBNeyT1Vt4uQgKDN3bCNRTfbbSHXfcwd+CgJe1VxOXuXPnWtsODdlxu21q2dtLGvhNBuKCrhG0wJq8oI4bXMMWrW1kn6zezPabOJhLqHQ+jal+ESoHBRUX0825+U6Ipq4icz0u1FXkj3nhmi38X0ymZisuPnHB/Q2MN5S4+Om5fhItlYq2NVRxgeIGj1NTawcv2+LakuJiYoZL0KDLicv6Jp7lQooLeXZMxNgMcVmSuSeCxlzV5dp8QgJyXOrr/VycnmCepuXAJm1Ty68CbrLgThULk4kyJLDTyDRR/ODzdGwzDvRCGJbJZZeRmaCoTzOLqMkHLHZP/PUXVP/+MHPMdEI0qYbAh6s28393GF7HTES+E6KhgALjMn4BU4kLnjvq8PM6igxVXLBg5paLaMymlooAMvPTWH3FxVziMmZwesw+cbHTmAuYuQr2chBx+ZiIy2ZzM1wIO49MM+X5KzZllTKwm6qpMlPYo8CreUsb+A4Vb7S4DjK+7OKrF0QWJw1L3zemIXheEa4xsGBlmrhsbyhxIYMllIDGlvasUpGpigs8DERsSQEw3eOSL8uF/h1lYAItYXSGVNH19RUXc8nWWK+zqDH7nCLLjLmAIy4GE5dPcxQXk4nLTiPSisuHKzdz17p3UKGhaguwy8h6brLErvrzjc1c4WpsRZ29zNjdHu32MWEiwA3GXCph7LFtz2d46cLgQNgfri/O0iGj646GEpdUdYXXpo1yEe5pan81lbjkHraIaAIKRQsm6ZoGIiikuNC/ZII1EVR6o1Lcikx5y2TFZWxm7qCWaK+jyDJjLuCIi4HYbpv0ZI7JHcZc/5wic4kLvApIbYVMvXBNI/to5ZasNE9TTXa0cM5b0sBe+3Qd//8+4wZlHVJnWgljwpAUbz2fu3g9V4toMTXVnAvFjUgAFC3cH7ivYUI38RC9fC3RWKAw5n6V5UZL67RwIj0XpAVjhhJDqpeJIJUChAUlZgr5o1KuifBaojNklgzRJo95TKBUBOXT1gwXwBEXAwE3PXb9IAGYMCkEy+TJB671L4xIk4APPt/IZv/fKv7/A7cfwkzGHl65aAN77dO1/P8wF5uMfScM4v/OWbSOvbOkIev3MH1B/XjVFvZRpkwE0mhihku+lmjyt6AV2uQxe1kuG5u9Msa2A/oZdzp7EL7HpdlTW3CSdV0mYsFEUOkNxAXhc1QqMrWriAzFuHVR/kSp2dbUXMARFwOBSWbCEN/n8t6yjcaz+aDP5a3PNrB/fpImAYfulOmNNhS04KOL642F6/n/vzzRbLK17/g0sZqzyFdc9hxjNnE5YFL6ms7+cBX7KGPM3X6YmWWifAbdRWvTJGDCUHPLRAApWFiUlmVaobc1uEwEBM25/hlFZo8ZJ0CDBODoigWrUR7v4gegmhg+R4CKPCJzf0B1oTOtKDvMJjjiYrjP5R8fruYlDDwkh+88nJkM8rk89vYy1tLeyeXUHQxfnGjB//dnG7hEXVddwXbJdEiZrri8v3wje/uzDVYoLod+IU1gX/i/1ez/MgZuU/0tuVkuUIi8DBdDO4oIw+vTixAWJd+Ya64KEMxrgSl3mQXGXCIBRBLnLlrvEV1Tuz5zy0W4nymo0EbFxcx2j14cQEdAlgvw8FtLvR2ryQa7YEs0TJi0WJksqwNQtijwj0iBidHoQeD0WXiKsGtCeic8DMj7MRm4rvBAQb3458dpNW4Hw8d82E7D2MzXFrPH31nOJg6tNTp8jkClivmfb/Kyn0yfN4bVV/ONGTY7D7zxmdHhc7mlF/iIZjzzobGnQudi7KAUV5ZvevZDbpSH90xHJ5QLoCuxALpcxQXmOuCkfUYz07HdsFpWUdaHtWfGPC2zyza9LLf7tgO80tZ+hpeJCPuOH+TlMew6qt476drkHepBOwxlT/1nhXd/mK7GweuElvl3lzZ4bf4mdxQBe40dyM8lwoK6evOarNOMTb43sFFbsGoL70q0gWwBYwal2NzFG7hnBOe1nXPAeGY6xmQUF8onuun43XiTgmq4ALoSBREXCp6bZrhXxJuAMosRzHX7jE+XNExHsMzyZcONuYR9J/jjNL1MRAgSWcjs9YYm/RKgFp4/ZWLWx0wnLlC1/ufbk7O8FiZnuBAeOHcy++UJu7HvHjiBfXPyWHbCXtsy0/G9KRPYiXtvy/7rG7uzOT89hB29+0hmOsZmiAtw1ZE7WTHmXlMqKgWg557Ui6/vua2x7bn5fC7wMEzdcRvj6725PheEzpmuAgQVF9uIy9QdtuG5OVARTQ2ey0e2oAbAJA//k6mJyrnk6sHvTGan/uENXrYNboJMBfwh39jbfFU5iEnb1LFfnLA7swkHbT+UHbj9UHbApMHsWxYoRIXgiIuhgPT/pfGDeLvrqfuOYbbguwdN4EmjFx+yHbMFU3bYho97rzEDjW4bDQLy/27b1rNFaxo9s67pgMLypXGD2OsL17EdDE35zQXuh+9Nmcgue/hd9oWR/Y33bBHgyXnxh1NYW3sXD9NzcADQYv7f53yJ2Y4+XZTBXQKgQ5o2btxovccFAAHAm42RzA7ysam5jbW0dRp7Yng+oHvrNy8sYNcfu4uX5Gk6MEU+98FK9oUR/a0Zs4NDKa/fjrg4ODg4ODg4WENc7DAhODg4ODg4ODiUqselFHJcHBwcHBwcShF33HEHfwuio6Mj9Pe7UpGDg4ODg4ODVrhSkYODg4ODg0NJwnlcQqKlpYVdc801/F8HeXDXWQ3cdXbXuZTg7ufeda1dqaiXtlqbCned3XUuJbj72V3nUsMmSWuhKxU5ODg4ODg4lCRcqcjBwcHBwcHBGjji4uDg4ODg4GANyko1x2WnnXbKesvtGTcJMscm67VNvp6ldJ1lv7Ys2HjfuevsrnMp3Xd3GDxvYGy5azTW7dDoKiFs3LgR5y7xf2167S984QvCX1P2a8t6XXed1VxrmdfZxvtO1mu76+yus477zsY5OsrrlqTi4uDg4ODg4FCacMTFwcHBwcHBwRo44uLg4ODg4OBgDUrqkMWuri4vyEY06DVlvDYOl5LxujJfW9bruuus5lrLvM423neyXttdZ3edddx3Ns7R9Hq0jvea5Nxly5ax0aNH6x6Gg4ODg4ODQwwsXbqUbbvttr2HuHR2drLPP/+c1dXVsT59+ugejoODg4ODg0MIgIps3ryZjRw5kpWVlfUe4uLg4ODg4OBQ2nDmXAcHBwcHBwdr4IiLg4ODg4ODgzVwxCUEHn/8cR5H/JWvfIUddNBB7IMPPpD/l+llePjhh9lhhx3GDjnkEH6tv/GNb7DFixfrHlZJ4/bbb+desJdeekn3UEoWCxcuZMcffzybOnUq23nnndnkyZPZW2+9pXtYJYWWlhZ26aWXst13353Pz/vuuy+fsx2SobW1lf3kJz9hFRUVeefiu+66i+21115s//33Z1/72tfY8uXLmTIIzewtQcyZM6errq6ua8GCBfz9++67r2vUqFFdmzZt0j20kkJlZWXXs88+y//f0dHR9c1vfrNrhx126GpubtY9tJLE8uXLu8aMGcMjtl988UXdwylJrF69umvcuHFdL7/8Mn+/ra2ta+rUqV0PPvig7qGVFK688kp+nRsaGvj7b7/9dldVVVXXvHnzdA/NWixatKhr8uTJXWeccQafI/B+EI8++mjXiBEjutasWcPfv/baa7v22GMPPnergFNciuCmm27ibHK77bbj759++umsvb2dzZw5UwWv7DU45phj2OGHH87/D0f597//ffbRRx+xt99+W/fQShIXXXQR++lPf6p7GCWNm2++me23337swAMP5O9j53r33Xd77zuIwbx587hKW19fz9/fc889+f//8Y9/uEscE1u2bGH3338/O/vss/N+/vrrr2dnnnkmGzJkCH//4osvZu+//z576qmnmAo44lIEs2fPZnvvvbd/wcrKuDz2wgsvyP7b9Co88sgjWe/37dvXk4EdxOJvf/sbq6ys9Iiigxw89thj3UjKpEmTeLungzigFPfqq6+yJUuW8Pefe+45tmbNGjZs2DB3mWNil1124fdqPqxfv5698847WesiiOL222+vbF0sqeRc0Vi3bh1P88t9AIYPH87mzp2rbVy9Aa+//jqf4FE/dRCHxsZG9rOf/YxP7o4Uyr3OixYt4umlp512GvcI1NbWsksuuYRNnz5d4k/ufTjrrLNYU1MT22233diIESPYggUL2AknnMBOPPFE3UMrSSxatIj/m29dpM/JhiMuPQAPA1BdXZ31cbxPn3MQDyyov/zlL7l5FMqAgzhcddVV7LzzzuMTvDM/y0NDQ4N3vV988UVuHIV6C5XrmWeeYdOmTZP403sX/vjHP/KS/r///W82ceJE9u677/Kdf7EQMwd710X3l+0BNTU1/N/cnSnep885iMd3v/tddtJJJ7Gvf/3r7vIKBPxCc+bM4cTFQS7Ky8v5v0cddRQnLQA65g4++GB26623ussvCMhP/fGPf8znDJAWANf76aefZjfeeKO7ziW6Ljri0gMGDx7Ma3erVq3K+vjKlSvZhAkTZP9teiXQfoeb/+c//7nuoZQcYJzbunUrXzynTJnCTj75ZP5xlC/w/ieffKJ7iCWDoUOH8h3oqFGjsj4+duxYZXJ6bwC8LBs2bGDjxo3L+vj48ePZo48+qm1cpYwJmbVP57roiEsRYJKHBBlk+Ni5HnroobL/Nr0OkHtxwBZKRACue/DaOyQDyha4d5HbgreHHnqIf/w3v/kNf7+QGc8hnuICf9aKFSuyPo7JfsyYMe6SCgK6WkAQc68z3nequBwMHDiQd24F52Z4QeEtUrUuOuISQgHATpV2ow888ACflNAK5iAOv//979mf//xn3qaLxRUhXeh+ee+999xldrASl19+OXviiSe8bpf58+ezWbNmsQsuuED30EoG8LFgLobPBcoLgPnj+eefd+ZcibjyyivZfffdxxtYgNtuu413Ih1xxBFMBdwhiyGAFMYbbriB9evXjz8od955J0/BdBADnAg6YMAAfrp3Lu69917eNeAgFigPvfHGG9zzAk/Ajjvu6CkwDuIAMn7LLbfwjiLkP+G6w7/lIA4whF5zzTXckAuVBfMJyAzSdJEM7RAvNRdJ5jCZw+yMNOLRo0dnxVZgs4lcIkRXQIVBku62227LVMARFwcHBwcHBwdr4EpFDg4ODg4ODtbAERcHBwcHBwcHa+CIi4ODg4ODg4M1cMTFwcHBwcHBwRo44uLg4ODg4OBgDRxxcXBwcHBwcLAGjrg4ODg4ODg4WANHXBwcHEoGCHlbvXq1kNdavny5kNdxcHAQC0dcHBwcIgNnG82cOTPrY83NzTxdc+7cuVquKA55mz59uhf9nhQ43gPnOzk4OJgFR1wcHByEEJfKykq2ww47sP79+yu/ojj8FEdDnHfeeXwMIvDjH/+YzZs3jz388MNCXs/BwUEMHHFxcHAQAhw+ivNiRBGHKHjuuefYwoUL2XHHHSf8oMQf/OAHnBg5ODiYAUdcHBwcIuFXv/oVV1ugRkyZMoW/bd26lR/KhsMyceAd8Je//IXtscce/KC7v//97+yoo45i48eP5weWbty4kX3rW99iX/ziF9nhhx/erbzz3//93/xzBx54INt///35Qac94dFHH2VTp071DtV79tlnvZ9NOPvss7PGRycJH3TQQfx3+PKXv8zOOeccXnIi7Lfffmzt2rX8MEoHBwczUKF7AA4ODnbhsssuY5s2beLlIrwRZs2axQkA4YQTTmBDhgzhhGLBggXsb3/7G/8XJ1GvWLGC/fa3v+Uny37lK19ht912G7v66qs99QQ/A8QIp81++umn/ATr559/nhOJfHj99dfZN7/5Te/9r371q/y18bODJ40vWrQo6/tOP/109sMf/pATlo6ODjZt2jT24YcfsuHDh3sq0rhx49hrr73GJk+eLPAqOjg4xIVTXBwcHKTjxBNP5P9uv/32nMyAGNTU1LCysjKudLzzzjve1954443s5JNP5qQFmDhxIicgd955Z8HXX7VqFRs0aFCszqHPPvvMIyl33XUX22233bK+BioNXt/BwcEMOMXFwcFBOkaMGOH9H4Ql+H4qleKlI8L777/Pli1blqXeoFwDpaYQ8P0VFdGnsxkzZrBLL72UPfLII+yUU07hyksuAYLpWFSnkoODQ3I4xcXBwUE6oGb09H6u+RUlHCpF4Q1kBp6ZQoAq0tbWlvWxoL+FgHJQEOeffz5bsmQJ99v8z//8DydHuX4WvG4cNcfBwUEOHHFxcHCIPnGUlWXlt+SShiTYZZdd2EcffZT1sRdffJH97ne/K/g9KD2tX78+62N1dXX8382bNxcMlQMZGjZsGO8ceu+99/jP/vOf/5z1NXhdfI2Dg4MZcMTFwcEhMoYOHeqVT2CkhTFXFH72s5+xJ598kr377rv8/cbGRvbTn/60x1IROo8++eSTrI9tt912vAwFYy0we/bsbqm65557LjcKB5N34cMJvg8PDAzEDg4OZsB5XBwcHCLj+OOP5106BxxwAKuvr2eHHnoob4dGJ9DixYv5go/P/eQnP+FfD7/KY489xk23aDe+6aabWFVVFf8/WqsbGhr45x566CH+OnfffTfvEqqtreXqzoUXXpjVIZRvPN/5zndYZ2enpwZBcUHnEr53zJgxvGNo77335j8P47v++ut5qejII4/koXlbtmzh7df4GOHVV1/lfhx8n4ODgxno0+WSlRwcHEoAxx57LPvGN77BTjvtNCGvh6kRGTMgPkcffbSQ13RwcEgOVypycHAoCdxzzz1csfnggw+EvB7asqHSONLi4GAWnOLi4OBQMkCpCK3RAwcOTPxa69atY4MHDxYyLgcHB3FwxMXBwcHBwcHBGrhSkYODg4ODg4M1cMTFwcHBwcHBwRo44uLg4ODg4OBgDRxxcXBwcHBwcLAGjrg4ODg4ODg4WANHXBwcHBwcHBysgSMuDg4ODg4ODtbAERcHBwcHBwcHZgv+P6usjwLUN0hsAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.plot(time_sol.t, transmission)\n", "ax.set_xlabel(\"time (us)\")\n", "ax.set_ylabel('transmission')\n", "ax.set_title(\"Doppler-Free Solution\")" ] }, { "cell_type": "markdown", "id": "8182b875-c4f7-4f74-af06-58e1145db5cc", "metadata": {}, "source": [ "### Solve with Doppler averaging ###\n", "\n", "Doppler averaged results require larger Rabi frequencies to observe similar sized signals." ] }, { "cell_type": "code", "execution_count": 13, "id": "26eb18ed-907b-4410-a8af-d66587f49097", "metadata": {}, "outputs": [], "source": [ "red_laser = {'states':(g,e), 'rabi_frequency':2*np.pi*5, 'detuning':0, 'kunit': np.array([1,0,0])}\n", "blue_laser = {'states':(e,r1), 'rabi_frequency':2*np.pi*7, 'detuning': 0,'kunit': np.array([-1,0,0])}\n", "rf = {'states':(r1,r2), \"rabi_frequency\":rf_rabi, 'detuning': 0, 'time_dependence': sig_and_LO( 2*np.pi, .05)}\n", "\n", "RbSensor_time.add_couplings(blue_laser, red_laser, rf)" ] }, { "cell_type": "code", "execution_count": 14, "id": "0bddbca2", "metadata": {}, "outputs": [], "source": [ "#Solve with a doppler peak calculated from physical system properties\n", "sampleNum = 200\n", "endTime = 10\n", "time_sol_doppler = rq.solve_time(RbSensor_time, endTime, sampleNum, doppler=True, rtol = 1e-6, atol = 1e-6)" ] }, { "cell_type": "code", "execution_count": 15, "id": "6045cbfd-8ac4-4a39-92ad-7d8459d1f0d8", "metadata": {}, "outputs": [], "source": [ "transmission_doppler = time_sol_doppler.get_transmission_coef()" ] }, { "cell_type": "code", "execution_count": 16, "id": "591abd35-dcaa-44d6-a873-65219083985b", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Doppler Solution')" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.plot(time_sol_doppler.t, transmission_doppler)\n", "ax.set_xlabel(\"time (us)\")\n", "ax.set_ylabel('transmission')\n", "ax.set_title(\"Doppler Solution\")" ] }, { "cell_type": "markdown", "id": "ec9936b0", "metadata": {}, "source": [ "### Compare the size of the beat signals\n", "\n", "Here we ignore the starting transient, and normalize the beat signal. As the Doppler broadening is increased, the size of the beat is reduced (for the same optical depth)." ] }, { "cell_type": "code", "execution_count": 26, "id": "db808765-29c9-4c89-bf23-6cde8dcb1240", "metadata": {}, "outputs": [], "source": [ "def normalize_trace(trace,expand=1):\n", " ave = trace[100:].mean()\n", " return (trace - ave)/ave*expand" ] }, { "cell_type": "code", "execution_count": 29, "id": "bb9b5bde-f118-4d94-8174-4470c63ff468", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(time_sol.t, normalize_trace(transmission), label='Doppler-Free')\n", "ax.plot(time_sol_doppler.t, normalize_trace(transmission_doppler,10), label='Doppler broadened')\n", "ax.set_xlim((1,10))\n", "ax.set_xlabel(\"time (us)\")\n", "ax.set_ylabel('transmission (%)')\n", "ax.legend()" ] }, { "cell_type": "code", "execution_count": 30, "id": "919a9577-1cad-436a-9857-37b3557fd797", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " Rydiqule\n", " ================\n", " \n", "Rydiqule Version: 2.2.0.dev48+g6f06f9960.d20260120\n", "Installation Path: ~\\src\\rydiqule_public\\src\\rydiqule\n", "\n", " Dependencies\n", " ================\n", " \n", "NumPy Version: 2.2.6\n", "SciPy Version: 1.15.3\n", "Matplotlib Version: 3.10.8\n", "ARC Version: 3.9.0\n", "Python Version: 3.10.19\n", "Python Install Path: ~\\src\\rydiqule_public\\.venv\\Scripts\n", "Platform Info: Windows (AMD64)\n", "CPU Count and Freq: 16 @ 3.91 GHz\n", "Total System Memory: 256 GB\n" ] } ], "source": [ "rq.about()" ] }, { "cell_type": "code", "execution_count": null, "id": "27bc6170", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "rydiqule_public (3.10.19)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.19" } }, "nbformat": 4, "nbformat_minor": 5 }