{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "*This notebook was created by Sergey Tomin (sergey.tomin@desy.de). Source and license info is on [GitHub](https://github.com/ocelot-collab/ocelot). January 2018.*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Tutorial N5: Coherent Synchrotron Radiation (CSR)\n", "\n", "*Second-order tracking with CSR effects using 200,000 particles.*\n", "\n", "As an example, we simulate the **BC2 bunch compressor** of the European XFEL accelerator.\n", "\n", "The CSR module in Ocelot uses a fast **projected 1D model** based on the approach from the [CSRtrack code](https://www.desy.de/xfel-beam/csrtrack/), following:\n", "\n", "* [Saldin et al, Radiative interaction of electrons in a bunch moving in an undulator, 1998](http://www.sciencedirect.com/science/article/pii/S0168900298006238), \n", "* [M. Dohlus, Two Methods for the Calculation of CSR Fields, 2003](https://flash.desy.de/sites2009/site_vuvfel/content/e403/e1642/e740/e741/infoboxContent746/fel2003-05.pdf), \n", "* [M. Dohlus, T. Limberg, CSRtrack: FASTER CALCULATION OF 3-D CSR EFFECTS, 2004](https://accelconf.web.cern.ch/f04/papers/MOCOS05/MOCOS05.PDF). \n", "\n", "The particle tracking uses matrices up to the second order. CSR wake is calculated continuously through beam lines of arbitrary flat geometry. The transverse self-forces are neglected completely. The method calculates the longitudinal self-field of a one-dimensional beam that is obtained by a projection of the ‘real’ three-dimensional beam onto a reference trajectory. A smooth one-dimensional charge density is calculated by binning and filtering, which is crucial for the stability and accuracy of the simulation, since the instability is sensitive to high frequency components in the charge density.\n", "\n", "---\n", "\n", "### This example covers:\n", "\n", "- Initialization and placement of the [**`CSR` class**](https://www.ocelot-collab.com/docs/docu/physics-processes/csr) \n", "- Second-order matrix-based [**tracking**](https://www.ocelot-collab.com/docs/tutorial/tutorial-beam-dynamics/tracking/) with CSR effects \n", "- Use of the [**`Navigator`**](https://www.ocelot-collab.com/docs/docu/OCELOT%20fundamentals/navigator) to assign physics processes \n", "- Lattice construction with [**`MagneticLattice`**](https://www.ocelot-collab.com/docs/docu/OCELOT%20fundamentals/magnet-lattice/)\n", "\n", "---\n", "\n", "### Requirements\n", "\n", "- `in.fmt1`: Initial beam distribution in CSRtrack format \n", " (obtained from an s2e simulation performed with ASTRA + CSRtrack)\n", "\n", "- `out.fmt1`: Output distribution after BC2 bunch compressor \n", " (reference output from CSRtrack used for comparison)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "initializing ocelot...\n" ] } ], "source": [ "# the output of plotting commands is displayed inline within frontends, \n", "# directly below the code cell that produced it\n", "from time import time \n", "\n", "# this python library provides generic shallow (copy) and deep copy (deepcopy) operations \n", "from copy import deepcopy\n", "\n", "# import from Ocelot main modules and functions\n", "from ocelot import *\n", "\n", "# import from Ocelot graphical modules\n", "from ocelot.gui.accelerator import *" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Load beam distribution from CSRtrack format" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'dE/pc')" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# load and convert CSRtrack file to OCELOT beam distribution\n", "# p_array_i = csrtrackBeam2particleArray(\"in.fmt1\", orient=\"H\")\n", "\n", "# save ParticleArray to compresssed numpy array \n", "# save_particle_array(\"test.npz\", p_array_i)\n", "p_array_i = load_particle_array(\"csr_beam.npz\")\n", "\n", "# show the longitudinal phase space\n", "plt.plot(-p_array_i.tau()*1000, p_array_i.p(), \"r.\")\n", "plt.xlabel(\"S, mm\")\n", "plt.ylabel(\"dE/pc\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### create BC2 lattice" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "b1 = Bend(l = 0.5001, angle=-0.0336, e1=0.0, e2=-0.0336, gap=0, tilt=0, eid='BB.393.B2')\n", "b2 = Bend(l = 0.5001, angle=0.0336, e1=0.0336, e2=0.0, gap=0, tilt=0, eid='BB.402.B2')\n", "b3 = Bend(l = 0.5001, angle=0.0336, e1=0.0, e2=0.0336, gap=0, tilt=0, eid='BB.404.B2')\n", "b4 = Bend(l = 0.5001, angle=-0.0336, e1=-0.0336, e2=0.0, gap=0, tilt=0, eid='BB.413.B2')\n", "\n", "d_slope = Drift(l=8.5/np.cos(b2.angle))\n", "\n", "start_csr = Marker()\n", "stop_csr = Marker()\n", "\n", "# define cell frome the bends and drifts\n", "cell = [start_csr, Drift(l=0.1), b1 , d_slope , b2, Drift(l=1.5), \n", " b3, d_slope, Marker(), b4, Drift(l= 1.), stop_csr]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Initialization tracking method and MagneticLattice object" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# for second order tracking we have to choose SecondTM \n", "method = {\"global\": SecondTM}\n", "\n", "# for first order tracking uncomment next line\n", "# method = {\"global\": TransferMap}\n", "\n", "lat = MagneticLattice(cell, method=method)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Create CSR object " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "csr = CSR(n_bin=300, m_bin=5, sigma_min=.2e-6)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Track particles with and without CSR effect" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " tracking without CSR effect .... \n", "z = 21.610000676107052 / 21.610000676107052. Applied: \n", " time exec: 0.5548112392425537 sec\n", "\n", " tracking with CSR effect .... \n", "z = 21.610000676107052 / 21.610000676107052. Applied: CSR\n", " time exec: 12.593474864959717 sec\n" ] } ], "source": [ "navi = Navigator(lat)\n", "\n", "# track witout CSR effect \n", "p_array_no = deepcopy(p_array_i)\n", "print(\"\\n tracking without CSR effect .... \")\n", "start = time()\n", "tws_no, p_array_no = track(lat, p_array_no, navi)\n", "print(\"\\n time exec:\", time() - start, \"sec\")\n", "\n", "# again create Navigator with needed step in [m]\n", "navi = Navigator(lat)\n", "navi.unit_step = 0.5 # m\n", "\n", "# add csr process to navigator with start and stop elements\n", "navi.add_physics_proc(csr, start_csr, lat.sequence[-1])\n", "\n", "# tracking \n", "start = time()\n", "p_array_csr = deepcopy(p_array_i)\n", "print(\"\\n tracking with CSR effect .... \")\n", "tws_csr, p_array_csr = track(lat, p_array_csr, navi)\n", "print(\"\\n time exec:\", time() - start, \"sec\")" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# recalculate reference particle \n", "from ocelot.cpbd.beam import *\n", "\n", "recalculate_ref_particle(p_array_csr)\n", "recalculate_ref_particle(p_array_no)\n", "\n", "# load and convert CSRtrack file to OCELOT beam distribution \n", "# distribution after BC2\n", "# p_array_out = csrtrackBeam2particleArray(\"out.fmt1\", orient=\"H\")\n", "# save ParticleArray to compresssed numpy array \n", "# save_particle_array(\"scr_track.npz\", p_array_out)\n", "p_array_out = load_particle_array(\"scr_track.npz\")\n", "\n", "# standard matplotlib functions \n", "\n", "plt.figure(2, figsize=(10, 6))\n", "plt.subplot(121)\n", "plt.plot(p_array_no.tau()*1000, p_array_no.p(), 'g.', label=\"OCELOT no CSR\")\n", "plt.plot(p_array_csr.tau()*1000, p_array_csr.p(), 'r.', label=\"OCELOT CSR\")\n", "plt.plot(p_array_out.tau()*1000, p_array_out.p(), 'b.', label=\"CSRtrack\")\n", "plt.legend(loc=3)\n", "plt.xlabel(\"s, mm\")\n", "plt.ylabel(\"dE/pc\")\n", "plt.grid(True)\n", "\n", "\n", "plt.subplot(122)\n", "plt.plot(p_array_no.tau()*1000, p_array_no.p(), 'g.', label=\"Ocelot no CSR\")\n", "plt.plot(p_array_out.tau()*1000, p_array_out.p(), 'b.', label=\"CSRtrack\")\n", "plt.plot(p_array_csr.tau()*1000, p_array_csr.p(), 'r.', label=\"OCELOT CSR\")\n", "plt.legend(loc=3)\n", "plt.xlabel(\"s, mm\")\n", "plt.ylabel(\"dE/pc\")\n", "plt.grid(True)\n", "plt.savefig(\"arcline_traj.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### display trajectory of the reference particle in CSR region " ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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m+L77pHnzpOrVra0L7u+yy6T166UGDaSffjIh64svrK4KADwaAQsAPFlWlpkS+MYbkr+/9PLL0qRJkh8v7yinc84x6/Quukg6dEjq1MlMGwQAVAp/gQHAU6WmmuYVq1ebTYOXLpVuucXqquCJYmLM71Hv3mZEdMAA0wDDbre6MgDwOAQsAPBEX30ltW4t/fCDVK+etG6d1LWr1VXBk9WoIb37rnTnneb43nul2283a/oAAOVGwAIAT7NokdShg5SZKV1wgfTll9J551ldFbyBv7/09NPSM8+YboOzZkk9e0qHD1tdGQCL2X1kRNsRPycBCwA8hd0uTZ8uXXWVlJsrXXGFtHatFBdndWXwNqNHmyAfHGw6DbZtK+3fb3VVACwQEBAgSTp27JjFlbhGyc9Z8nNXhtsFrJSUFF188cUKDQ1VVFSU+vTpo127dpU5Z8iQIbLZbGUurVu3LnNOXl6eRo0apcjISNWoUUO9evXSfv44APBURUXmTe+YMSZo3X679P77Zu0V4Ay9e0tr1kjR0dK330qtWkku2kMGgPvw9/dXrVq1lJmZqUOHDik3N1fHjx/3uktubq4OHTqkzMxM1apVS/7+/pX+N6vmwH9/h1izZo1GjBihiy++WIWFhZo4caK6du2q7777TjVq1Cg97/LLL9frr79eehwYGFjmcZKSkvThhx9qwYIFqlOnjsaOHasePXpo8+bNVfoHAwCXO3pUuu466cMPzfGTT0pjx5opXIAzXXyx6TB4xRXS99+bkax33jGdKwH4jJiYGElSZmamxZU4X61atUp/3sqy2d18QuVvv/2mqKgorVmzRu3atZNkRrD++OMPLV68+KTfk52drbp162ru3LkaMGCAJOnAgQOKj4/X0qVL1a1bt3I9d05OjsLDw5Wdna2wsDCH/DwAUCHp6WYNzObNZl+ruXOlq6+2uir4mj/+kPr1k1atMuu0XnhBuu02q6sC4GJFRUUqKCiwugynCQgIOO1ATHmzgduNYP1Tdna2JCkiIqLM7atXr1ZUVJRq1aql9u3ba9KkSYqKipIkbd68WQUFBer6t45acXFxatasmdavX1/ugAUAltq504wc7NsnRUZKH3xgNoIFXK1WLbMW69Zbpf/+Vxo2TNqzR5o8mT3XAB/i7+/PTLBycOtXRbvdrjFjxujSSy9Vs2bNSm/v3r275s2bp5UrV2rq1KnatGmTLrvsMuXl5UmSMjIyFBgYqNq1a5d5vOjoaGVkZJzy+fLy8pSTk1PmAgCW+PRTs8fVvn1SkyZmmhbhClYKDJRmz5YeftgcP/GEmbp6/LilZQGAu3HrEayRI0dq27ZtWrduXZnbS6b9SVKzZs100UUXqUGDBlqyZIn69et3ysez2+2ynWbNQkpKih4u+cMBAFZ5/XUz/aqwULr0UmnxYqlOHaurAsy6vwcflBo2NJtav/226S74/vtmlBUA4L4jWKNGjdIHH3ygVatWqV69eqc9NzY2Vg0aNNDu3bslmYV4+fn5ysrKKnNeZmamoqOjT/k4EyZMUHZ2duklLS2t6j8IAJSX3W7evN58swlX110nrVhBuIL7ufFG6ZNPpPBwaf16M7r6599gAPB1bhew7Ha7Ro4cqffee08rV65UQkLCv37PoUOHlJaWptjYWElSy5YtFRAQoBUrVpSek56erh07dqhNmzanfJygoCCFhYWVuQCAS+TlmTetjz5qjidOlN54wzS2ANxRx47Shg1mNOunn0zI+uILq6sCAMu5XcAaMWKE3njjDc2fP1+hoaHKyMhQRkaGcnNzJUlHjhzRuHHjtGHDBu3du1erV69Wz549FRkZqb59+0qSwsPDNXToUI0dO1afffaZtmzZohtuuEHNmzdX586drfzxAOBEWVlSt24mUPn7Sy+/LD32GM0D4P6aNjXrAy++WDp0SOrUSXrrLaurAgBLud1f75kzZyo7O1sdOnRQbGxs6eWtP1+w/f39tX37dvXu3VtNmjTR4MGD1aRJE23YsEGhf9twc/r06erTp4+uueYaXXLJJQoJCdGHH35I5xMA7mXPHvPJ/5o1ZtPgpUvN2hbAU0RHS6tXS336mJHYa681DTDcexcYAHAat98Hy0rsgwXAqb780uxx9dtvUr16Jlw1b251VUDlFBVJ48ZJTz9tjm+7TXr+eamaW/fTAoByK282cLsRLADwCe+9J3XoYMLVhReasEW4gifz95emT5eeecZ0G5w1S+rRQ2LLEwA+hoAFAK5kt5s3oVdfbfYPuuIKae1aKS7O6soAxxg92mwtEBJiOg22bWtauQOAjyBgAYCrFBZKo0ZJY8aYoHXHHWb/oJo1ra4McKxevcy6wuhoads2qVUraetWq6sCAJcgYAGAKxw5IvXta9akSNJTT7E+Bd7tootMh8FzzpEOHDAjWcuWWV0VADgdAQsAnC09XWrfXvroI7Ov1TvvSGPHmnUqgDdr2NDsjXXZZeZDhp49pZdesroqAHAqAhYAONOOHVLr1tI330iRkdKqVWb9FeAratUyI1eDB5tOg7ffLt1zj1RcbHVlAOAUBCwAcJZPP5UuuUTat09q0sRMl2rd2uqqANcLDJRef1165BFzPGWK2S/r+HFr6wIAJyBgAYAzvP661L27aVHdtq20fr105plWVwVYx2aTHnhA+u9/pYAAM1W2Uyfp4EGrKwMAhyJgAYAj2e3mTeTNN5uugdddJ61YIdWpY3VlgHsYNEhavtxMHVy/XkpMlHbvtroqAHAYAhYAOEpennnz+Nhj5njiROmNN6SgIGvrAtxNhw4mXDVsKP30kwlZ69ZZXRUAOAQBCwAc4fffpa5dpXnzJH9/6ZVXTNDy42UWOKmmTc26xIsvlg4dMtMF33rL6qoAoMr4yw8AVbVnj9SmjbR2rRQWZjqmDR1qdVWA+4uOllavlvr0kfLzTeOLxx83U20BwEMRsACgKko6A+7aJcXHm2lOXbpYXRXgOUJCpIULpaQkczxhgjRsmFRQYGlZAFBZBCwAqKz33pM6dpR++0268EITtpo3t7oqwPP4+0vTp0vPPmum1b78stmUOCfH6soAoMIIWABQUXa7NG2a2TD4+HHpyivN9MC4OKsrAzzbqFHSokVmVOuTT6RLL5X277e6KgCoEAIWAFREYaF5Ezh2rAlad9whLV4s1axpdWWAd+jVy3xgERMjbd8utWolbd1qdVUAUG4ELAAoryNHpL59peefN5umPvWUuV6tmtWVAd6lZUsz5facc6QDB8xm3cuWWV0VAJQLAQsAyuPAAaldO+mjj6Tq1aV33jGjWDab1ZUB3qlBA+mLL6TLLjMfbvTsKb30ktVVAcC/ImABwL/Zvt10CtyyRapbV1q1SrrqKqurArxfrVpm5GrIEKmoSLr9dumee6TiYqsrA4BTImABwOl8+qlZaJ+WJjVpIm3YYMIWANcIDJRee0165BFzPGWK2S8rN9faugDgFAhYAHAqr70mde9uWkW3bWvC1ZlnWl0V4HtsNumBB6S5c6WAADNFt1Mns0UCALgZAhYA/JPdLt1/vzR0qOkaOHCgtGKFFBFhdWWAb7vhBmn5cjN1cMMGKTFR+vFHq6sCgDIIWADwd3l55k3cpEnm+P77pTfekIKCrK0LgNGhg7R+vdSwofTzzyZkrVtndVUAUIqABQAlfv9d6tpVmj/ftF5/9VXp0UfpFAi4m6ZNTRv3//zH/H/bqZO0YIHVVQGAJAIWABh79kht2pgNTsPCpKVLpZtvtroqAKcSHW06evbtK+XnS9ddJz3+uJniCwAWImABwMaNpjPgrl1SfLyZbtSli9VVAfg3ISGm4cVdd5njCROk226TCgqsrQuATyNgAfBt774rdexoupG1aGHCVvPmVlcFoLz8/aVp06TnnpP8/KRXXpF69DDdPwHAAgQsAL7JbpemTpX695eOH5euvFJas0aKi7O6MgCVMXKktHixGdVavvyv/esAwMUIWAB8T2GheTM2bpwJWsOHmzdmNWtaXRmAqujZ06yjjImRtm83U3+3brW6KgA+hoAFwLccOSL16SO98ILpDjh1qjRjhukaCMDztWxppvqee6504IDZJHzpUqurAuBDCFgAfMeBA1K7dtKSJVL16tLChdKYMbRhB7xNgwamWU2nTuZDlZ49pRdftLoqAD7C7QJWSkqKLr74YoWGhioqKkp9+vTRrl27ypxjt9uVnJysuLg4BQcHq0OHDtq5c2eZc/Ly8jRq1ChFRkaqRo0a6tWrl/bv3+/KHwWAOymZLrRli1S3rmnv3K+f1VUBcJZatczI1ZAhUnGxdMcd0vjx5joAOJHbBaw1a9ZoxIgR2rhxo1asWKHCwkJ17dpVR48eLT1nypQpmjZtmmbMmKFNmzYpJiZGXbp00eHDh0vPSUpK0qJFi7RgwQKtW7dOR44cUY8ePVRUVGTFjwXASitW/LXg/eyz/2rLDsC7BQZKr71mNgyXpCeflAYMkHJzra0LgFez2e3uvSPfb7/9pqioKK1Zs0bt2rWT3W5XXFyckpKSdM8990gyo1XR0dF64oknNGzYMGVnZ6tu3bqaO3euBgwYIEk6cOCA4uPjtXTpUnXr1q1cz52Tk6Pw8HBlZ2crLCzMaT8jACd67TVp2DDT2KJdO2nRIikiwuqqALjaG2+YzcMLCqTEROn9981oNgCUU3mzgduNYP1Tdna2JCnizzdEqampysjIUNeuXUvPCQoKUvv27bV+/XpJ0ubNm1VQUFDmnLi4ODVr1qz0HABezm6X7r9fGjrUhKuBA03rZsIV4JtuuMGMZteqJW3YYELWjz9aXRUAL+TWActut2vMmDG69NJL1axZM0lSRkaGJCk6OrrMudHR0aX3ZWRkKDAwULVr1z7lOSeTl5ennJycMhcAHigvz7yZmjTJHN9/v/n0OijI2roAWKt9e2n9eikhQfr5ZxOyPv/c6qoAeBm3DlgjR47Utm3b9Oabb55wn+0fXb/sdvsJt/3Tv52TkpKi8PDw0kt8fHzlCgdgnUOHpC5dpPnzTev1V1816y/oFAhAkpo2Nesw//Mf6fffpc6dpZO8zwCAynLbgDVq1Ch98MEHWrVqlerVq1d6e0xMjCSdMBKVmZlZOqoVExOj/Px8ZWVlnfKck5kwYYKys7NLL2nsAA94lp9/ltq0MZ9Ih4VJy5aZNRcA8HdRUaaTaN++Un6+mUKckmKmFgNAFbldwLLb7Ro5cqTee+89rVy5UgkJCWXuT0hIUExMjFasWFF6W35+vtasWaM2bdpIklq2bKmAgIAy56Snp2vHjh2l55xMUFCQwsLCylwAeIgNG0xnwB9/lOLjpS++MJ9MA8DJhIRI77xj9sKTpPvuk2691TTBAIAqqGZ1Af80YsQIzZ8/X++//75CQ0NLR6rCw8MVHBwsm82mpKQkTZ48WY0bN1bjxo01efJkhYSEaODAgaXnDh06VGPHjlWdOnUUERGhcePGqXnz5urMGy7A+7z7rllzdfy41KKF9NFHUmys1VUBcHf+/tLUqVKjRtLo0WZK8b59ZhNyPmQFUElu16b9VGukXn/9dQ0ZMkSSGeV6+OGH9dJLLykrK0utWrXS888/X9oIQ5KOHz+uu+++W/Pnz1dubq46deqkF154oULrqmjTDrg5u12aNk26+25zvUcPs5aiZk2rKwPgaT76yOyRdeyY1Ly5tGSJGQ0HgD+VNxu4XcByJwQswI0VFppPnGfONMcjRkjPPGM+kQaAyti82XxQk5FhRsGXLJEuvNDqqgC4Ca/ZBwsATnDkiNS7twlXNpsZxXruOcIVgKpp2dJ0GDz3XCk9XWrbVlq61OqqAHgYAhYAz3LggNSunXnTU726WStx1120YQfgGA0amCY5nTpJR49KPXv+NVIOAOVAwALgObZvl1q1krZskerWlVavlvr1s7oqAN4mPNx8iHPTTVJxsTR8uFnrWVxsdWUAPAABC4BnWL5cuuQSaf9+6eyzzTSeVq2srgqAtwoM/Gujckl66inTBCM319q6ALi9KrVp71eJT45ffPFFRUVFVeVpAfiaV1+Vhg2Tioqk9u2l996TIiKsrgqAt7PZpPvvlxISzKblCxeaD3k++MCMogPASVRpBGvx4sUKDAxUeHh4uS5LlizRkSNHHFU7AG9XXCxNnCjdcosJV9dfL33yCeEKgGtdf70ZRa9d24yet24t7dpldVUA3FSV2rT7+fkpIyOj3CNSoaGh+vbbb9WoUaPKPqVL0aYdsFBenln/8Oab5viBB6SHH6aZBQDr/PCDdMUVUmqqCVvvv286DQLwCS5p075q1SpFVOCT5GXLlumMM86oylMC8AWHDklduphwVa2a9Npr0iOPEK4AWOv//u+v9Z9ZWVLnztL8+VZXBcDNsNHwaTCCBVjg55/NJ8Q//iiFhUnvvmvexACAuzh2TLrhBmnRInM8aZI0YQIfAgFerrzZoEpNLk4mMzNTmZmZKv5HK9PzzjvP0U8FwNts2CD16iUdPCjVry8tWSI1a2Z1VQBQVkiI9M470vjxZqPziROlPXvMflkBAVZXB8BiDgtYmzdv1uDBg/X999+rZFDMZrPJbrfLZrOpqKjIUU8FwBstXCgNGiQdPy61aCF99JEUG2t1VQBwcv7+0tSpUqNG0ujRptvpvn0meIWHW10dAAs5LGDddNNNatKkiV599VVFR0fLxjA5gPKw282blLvvNsc9epi1VzVrWlsXAJTHiBFSgwZmj6wVK0zTiyVLpPh4qysDYBGHrcEKDQ3Vli1bdNZZZzni4dwCa7AAJyssNJ/8zpxpjkeOlJ5+2nwyDACeZPNm8wFRRoYZff/oIzMaD8BruKSL4N916tRJ3377raMeDoC3O3JE6t3bhCubTZo+XXr2WcIVAM/UsqX05ZfSuedK6elSu3ZmJAuAz3HYCNbBgwc1ePBg/ec//1GzZs0U8I9Fnr169XLE07gUI1iAk/zvf+aT3q1bpeBgad48qW9fq6sCgKrLzpauvlr69FPJz0967jlp+HCrqwLgAC7vIrh+/XqtW7dOy5YtO+E+mlwAKLVtm3TlldL+/VLdutKHH5o9ZQDAG4SHS0uXSrffbvbwGzHCbEz8xBMmcAHweg77P3306NEaNGiQ0tPTVVxcXOZCuAIgSVq+XLr0UhOuzj77rw07AcCbBARIr7wiPfaYOX7qKemaa6TcXGvrAuASDgtYhw4d0l133aXo6GhHPSQAb/LKK2YD4cOHpfbtpfXrTXtjAPBGNpvZH+uNN6TAQLNp+mWXSb/9ZnVlAJzMYQGrX79+WrVqlaMeDoC3KC42bzJuvVUqKpJuuEH65BMpIsLqygDA+a6/3oze165tRu1bt5Z27bK6KgBO5LA1WE2aNNGECRO0bt06NW/e/IQmF6NHj3bUUwHwFMePSzfdJC1YYI4feEB6+GHzyS4A+Ir27aUNG6Tu3aU9e6TERGnxYtNpEIDXcVgXwYSEhFM/ic2mPXv2OOJpXIougkAVHDok9ekjrVsnVasmvfyyNGSI1VUBgHUyM6VevUw798BA6fXXpYEDra4KQDm5vItgamqqox4KgKf76Sez3mr3biksTHrvPalTJ6urAgBrRUVJq1aZqdLvvWemD6amSvfdx8g+4EXoFwrAsTZsMNNfdu+W6tc3zSwIVwBgBAdL77wjjR1rju+/X7rlFqmgwNq6ADiMw0aw7Ha7Fi5cqFWrVikzM1PFxcVl7n/vvfcc9VQA3NU770iDBkl5eVLLlmaPq9hYq6sCAPfi52datzdqJI0aZfbLSkszr6Hh4VZXB6CKHDaCdeedd2rQoEFKTU1VzZo1FR4eXuYCwIvZ7dKTT5p9XvLypJ49pTVrCFcAcDrDh0vvvy/VqCGtWGH2Cdy3z+qqAFSRw5pcRERE6I033tAVV1zhiIdzCzS5AMqhsNB8Avvii+Z45Ejp6aclf39LywIAj/HNN1KPHlJ6uvlg6qOPpBYtrK4KwD+UNxs4bAQrPDxcjdg0FPAthw+bjlgvvmgWaE+fLj37LOEKACqiRQuzR1azZiZktWsnLVlidVUAKslhASs5OVkPP/ywcnNzHfWQANzZ//5n3gQsW2YWbb/7rpSURCcsAKiM+vXNthadO0tHj5oPr154weqqAFSCw6YIHjt2TP369dMXX3yhhg0bnrDR8DfffOOIp3EppggCp7Btm3TlldL+/abt8IcfSv/5j9VVAYDnKyiQbr/dNL6QTLfBKVNMYwwAlnL5PlhDhgzR5s2bdcMNNyg6Olo2PsUGvNMnn0j9+5vpgf/3f9LSpdJpNhoHAFRAQID0yiumw+D990tTp0p790pz55rZAgDcnsNGsGrUqKFPPvlEl156qSMezi0wggX8w8svS3fcIRUVSR06mI0ya9e2uioA8E7z50s33STl50utW5uOg1FRVlcF+CyXN7mIj48nhADeqrhYuu8+6bbbTLi64Qbp448JVwDgTAMHmvbttWubJhitW0u7dlldFYB/4bCANXXqVI0fP1579+6t8mOtXbtWPXv2VFxcnGw2mxYvXlzm/iFDhshms5W5tG7dusw5eXl5GjVqlCIjI1WjRg316tVL+/fvr3JtgM85ftz8kU9JMccPPij9979SUJC1dQGAL2jXTtqwwUwZTE2VEhOltWutrgrAaTgsYN1www1atWqVzjzzTIWGhioiIqLMpSKOHj2q888/XzNmzDjlOZdffrnS09NLL0uXLi1zf1JSkhYtWqQFCxZo3bp1OnLkiHr06KGioqJK/XyATzp0yHS0eustqVo1afZs6eGH6RQIAK509tkmZLVqJWVlSV26mOmDANySw5pcPP300456KHXv3l3du3c/7TlBQUGKiYk56X3Z2dl69dVXNXfuXHXu3FmS9MYbbyg+Pl6ffvqpunXr5rBaAa/100/SFVdIu3dL4eGmDXunTlZXBQC+KSpKWrVKGjTIvB5ff70Z0brvPj70AtyMwwLW4MGDHfVQ5bJ69WpFRUWpVq1aat++vSZNmqSoPxd+bt68WQUFBeratWvp+XFxcWrWrJnWr19/yoCVl5envLy80uOcnBzn/hCAu1q/3uzBcuiQ2Ztl6VLp3HOtrgoAfFtwsPT229I990hPPWW6DO7ZYzZ7/8f2OACsU6UpghUNIIcPH67K05Xq3r275s2bp5UrV2rq1KnatGmTLrvsstJwlJGRocDAQNX+xwL86OhoZWRknPJxU1JSFB4eXnqJj493SL2AR3nnHemyy0y4atlS+vJLwhUAuAs/P+nJJ6XnnzfXX3vNzDbIzra6MgB/qlLAql27tjIzM8t9/hlnnKE9e/ZU5SklSQMGDNCVV16pZs2aqWfPnlq2bJl+/PFHLVmy5LTfZ7fbT7s/14QJE5SdnV16SUtLq3KtgMew281mltdcI+XlST17SmvWSKeYigsAsNDw4dIHH0g1akiffipdeqm0b5/VVQFQFacI2u12vfLKK6pZs2a5zi8oKKjK051SbGysGjRooN27d0uSYmJilJ+fr6ysrDKjWJmZmWrTps0pHycoKEhBdEaDLyoslEaNMtNMJHN9+nTJ39/augAAp3bllaajYI8e0o4dpgnGkiVSixZWVwb4tCoFrPr16+vll18u9/kxMTEKcMIc4UOHDiktLU2xsbGSpJYtWyogIEArVqzQNddcI0lKT0/Xjh07NGXKFIc/P+DRDh+WBgyQli0zC6WnT5fuvNPqqgAA5dGihZnKfcUVJmS1ayctWGBCFwBLVClgOWLPq5M5cuSIfvrpp9Lj1NRUbd26tbTle3Jysq666irFxsZq7969uu+++xQZGam+fftKksLDwzV06FCNHTtWderUUUREhMaNG6fmzZuXdhUEIOl//zOfgH77rVk8PX++1KeP1VUBACoiPl5at07q399sTNy7t/Tcc2YaIQCXc9g+WI709ddf68ILL9SFF14oSRozZowuvPBCPfjgg/L399f27dvVu3dvNWnSRIMHD1aTJk20YcMGhYaGlj7G9OnT1adPH11zzTW65JJLFBISog8//FD+THkCjG+/NdNJvv3WtP9dvZpwBQCeKjzcTA8cOlQqLpZGjJDGjjXXAbiUzW63260uwl3l5OQoPDxc2dnZCgsLs7ocwHE++US6+mrpyBGpaVPzRzkhweqqAABVZbdLKSnSxInmuF8/ae5cKSTE2roAL1DebOCWI1gAnGjWLDMt8MgRqUMH6YsvCFcA4C1sNrP58Pz5UmCg9N57ZuuNCnR9BlA1BCzAVxQXSxMmSMOGSUVF0qBBZiTrH/vFAQC8wHXXmfbttWubJhitW0s//GB1VYBPqHLA+uabbxxRBwBnOn5cGjhQevxxc/zQQ9KcOebTTQCAd2rbVtqwQWrUSEpNldq0MW3dAThVlQNW69at9eijj6qYRZSAezp4UOrcWXrrLalaNWn2bCk52UwjAQB4t7PPljZuNCNYWVlSly7SvHlWVwV4tSoHrMWLF2vWrFlKTEzUjz/+6IiaADjKTz+ZTyy/+MJ0mPrkE2nwYKurAgC4Ut260sqV0lVXSfn50g03SI89ZhpiAHC4KgesK664Qjt27FDTpk3VokULPffcc46oC0BVrV9vPrHcvVtq0MAcX3aZ1VUBAKwQHCy9/bZ0993m+IEHTEv3ggJr6wK8kEPbtC9cuFDXXnutatSoccJ+U7///rujnsZlaNMOj/X229KNN0p5edJFF0kffijFxFhdFQDAHcycKY0caZofde4sLVxoZjkAOK3yZoNqjnrCTZs26YEHHlCTJk00duxYVavmsIcGUF52u/Tkk9I995jjXr1Mq94aNaytCwDgPu64w8xsuOYa02nwkkvMfogNGlhdGeAVqpyCCgsL9dBDD+mpp57SiBEjNHnyZFWvXt0RtQGoiMJC84nkSy+Z49GjpWnTpH+MJgMAoCuukD7/3OyLuHOnmVL+0UdSy5ZWVwZ4vCoHrBYtWujw4cNavny52rdv74iaAFTU4cPmk8iPPzbdAadPl+680+qqAADu7MILzR5ZV14pbd8utWtnOs726GF1ZYBHq3KTi4svvlg7duwgXAFW2b/f7HXy8cdmEfN77xGuAADlEx8vrVtn2rcfOyb17i09/7zVVQEercoBa968ebr66qs1c+ZM/e9//3NETQDK69tvzbSOb7+VoqKkNWukPn2srgoA4EnCwswarFtuMY0vRo6Uxo411wFUWJUD1o8//qgrrrhC7777rho1aqSLL75Yjz76qLZt2+aI+gCcyscfS5deKv3vf1LTpmYjyYsvtroqAIAnCgiQZs2SJk82x9OmSf37m1EtABXi0Dbt2dnZWrp0qd5//319/PHHql27tnr16qXevXurffv2J7Rud3e0aYfbmjVLGj5cKiqSOnQw0wJr17a6KgCAN3jzTWnIELMp8X/+Y7b6iIqyuirAcuXNBlUewfq78PBwXXfddVqwYIEOHjyol156ScXFxbrppptUt25dzZs3z5FPB/ie4mLp3nulYcNMuBo0SPrkE8IVAMBxrrvOtG+PiJC++spMRf/hB6urAjyGQ0ewTmfLli0qLCzUxR40hYkRLLiV48elwYPNJsKSlJwsPfig6RoIAICj/fijaef+889SrVrS4sUSTc3gw1w2gvXggw+qsLDwlPfv27dPXbp00YUXXuhR4QpwKwcPSp07m3BVrZo0e7b00EOEKwCA8zRpIm3YICUmSn/8YToNvvGG1VUBbq/KAWv27Nm6+OKLtX379hPumzVrlpo1a6Zq1aq83Rbgu3bvNn/cvvhCCg83UwIHD7a6KgCAL6hbV/rsM+nqq6WCAjM1/dFHJddMgAI8UpUD1o4dO9S8eXNdfPHFSklJUXFxsfbt26fOnTtr/PjxmjZtmpYtW+aIWgHf88UXJlz99JPUoIG0fr102WVWVwUA8CXBwWYD4rvvNscPPigNHWoCF4ATOGwN1vvvv69hw4YpJiZGqampSkxM1Msvv6z4+HhHPLwlWIMFS731lhmpysuTLrrIdHGKibG6KgCAL5s50+yTVVwsdeokLVxo1mcBPsDlXQRbtWql5s2ba9u2bSouLtb48eM9OlwBlrHbpSeekK691oSr3r2l1asJVwAA691xh/nAr0YNM3Xw0kulX36xuirArTgkYL355ps699xzVVxcrO+//1533HGHunfvrjvvvFO5ubmOeArANxQWSrffblqxS9Kdd0rvvmv+kAEA4A6uuEL6/HMpLk7audO0cd+82eqqALdR5YB19dVX67bbblNycrI+++wznX322ZoyZYpWr16tjz/+WOeff742bNjgiFoB73b4sNSzp9lE2GaTnn7aXDxsg24AgA+48EJp40apeXMpI0Nq186MbAGoesBKT0/Xli1bNGrUqDK3JyYm6ttvv1X37t3Vnj0TgNPbv19q21b6+GOzmHjRIjN6BQCAu4qPl9atk7p2lY4dk/r0kWbMsLoqwHJVbnJRXFwsP7/T57S1a9eqXbt2VXkaS9DkAi6xdat05ZXSgQNSdLT5BJA94wAAnqKgQBo+XHrlFXN8113Sk08yAwNex2VNLv4tXEnyyHAFuMSyZWbk6sABqWlTM92CcAUA8CQBAWZ6++TJ5nj6dKl/fzOqBfggh3URBFBBs2aZNVdHjkgdO5o9rxo2tLoqAAAqzmaTJkyQ3nxTCgw0U907dpR+/dXqygCXI2ABrlZcLN1zjzRsmFRUJN14o1l7Vbu21ZUBAFA1114rffqpFBEhffWVlJgo/fCD1VUBLkXAAlzp+HHzx2fKFHOcnCzNnm0+7QMAwBu0bStt2CCdeaaUmmpC1po1VlcFuAwBC3CVgwfNrvfvvGPmq8+ZIz30kJlWAQCAN2nSxISsxETpjz+kLl2kN96wuirAJQhYgCvs3m3+yKxfL4WHS598YqYGAgDgrerWlT77zDS8KCiQBg2SHn1UqloDa8DtuWXAWrt2rXr27Km4uDjZbDYtXry4zP12u13JycmKi4tTcHCwOnTooJ07d5Y5Jy8vT6NGjVJkZKRq1KihXr16af/+/S78KYA/ffGFCVc//SQ1aGBCVseOVlcFAIDzBQdLCxZI48eb4wcflG6+WcrPt7YuwIncMmAdPXpU559/vmacYrO6KVOmaNq0aZoxY4Y2bdqkmJgYdenSRYcPHy49JykpSYsWLdKCBQu0bt06HTlyRD169FBRUZGrfgxAeustMy3w0CHTfn3jRumcc6yuCgAA1/Hzk554Qpo501yfPVvq3t1MHQS8UJU3GnY2m82mRYsWqU+fPpLM6FVcXJySkpJ0zz33SDKjVdHR0XriiSc0bNgwZWdnq27dupo7d64GDBggSTpw4IDi4+O1dOlSdevWrVzPzUbDqDS73TSyuPdec9y7tzR/vhQSYm1dAABYaelS6ZprpKNHzQeOS5ea2R2AB3DZRsOulpqaqoyMDHXt2rX0tqCgILVv317r16+XJG3evFkFBQVlzomLi1OzZs1KzzmZvLw85eTklLkAFVZQYFqwl4SrO++U3n2XcAUAwBVXSJ9/LsXFSd99J7VuLX39tdVVAQ7lcQErIyNDkhQdHV3m9ujo6NL7MjIyFBgYqNr/2Ffo7+ecTEpKisLDw0sv8fHxDq4eXi8nx2we/PLLpjvgM89ITz8t+ftbXRkAAO7hwgulL7+UzjtPysiQ2reXPvzQ6qoAh/G4gFXC9o/W1na7/YTb/unfzpkwYYKys7NLL2lpaQ6pFT5i/36z98cnn5hFvYsWSaNHW10VAADup149M5LVrZt07JjUp490irX3gKfxuIAVExMjSSeMRGVmZpaOasXExCg/P19ZWVmnPOdkgoKCFBYWVuYClMvWrVKrVtK2bVJ0tNlQsXdvq6sCAMB9hYWZkatbbpGKi6VRo6S77pJoSAYP53EBKyEhQTExMVqxYkXpbfn5+VqzZo3atGkjSWrZsqUCAgLKnJOenq4dO3aUngM4zLJlZuTqwAGpaVPTKfDii62uCgAA9xcQIM2aJaWkmOOnn5auvtqMagEeqprVBZzMkSNH9NNPP5Uep6amauvWrYqIiFD9+vWVlJSkyZMnq3HjxmrcuLEmT56skJAQDRw4UJIUHh6uoUOHauzYsapTp44iIiI0btw4NW/eXJ07d7bqx4I3euklacQI82nbZZeZZha1alldFQAAnsNmM42hEhKkG2+UFi82+0V+8IGZFQJ4GLcMWF9//bU6/m0j1jFjxkiSBg8erNmzZ2v8+PHKzc3V8OHDlZWVpVatWmn58uUKDQ0t/Z7p06erWrVquuaaa5Sbm6tOnTpp9uzZ8qfZAByhuFiaMMG0YpekwYPNJ3CBgdbWBQCApxowQDrjDDPF/quvTIfBpUvN7BDAg7j9PlhWYh8snFRurglU77xjjh9+WHrgAfMJHAAAqJrdu81GxD//bGaFLFokdehgdVWA9+6DBVjq4EGpc2cTrgICpP/+V3rwQcIVAACO0rixtGGDlJgo/fGH1LWrNHeu1VUB5UbAAspr927zYr9+vRQebtqxDxpkdVUAAHifunWlzz6T+veXCgrM2qxHHpGYeAUPQMACymPdOjMX/KefpIYNzSdrf1snCAAAHCw4WFqwQBo/3hw/9JB0881Sfr61dQH/goAF/JsFC6ROnaTffzft1zduZMEtAACu4OcnPfGE9OKLkr+/NHu2WZ/1xx9WVwacEgELOBW7XXr8cem668ynZX36SKtX0zIWAABXGzbMbEpcs6a0cqV0ySXSL79YXRVwUgQs4GQKCqTbbjOt2CUpKUlauFAKCbG0LAAAfFb37tLnn0txcdJ330mtWklff211VcAJCFjAP+XkSD16SK+8YqYmPPusNH26mZoAAACsc8EF0pdfSuedJ/36q9S+vdmQGHAjBCzg7/bvly69VFq+3IxWLVokjRpldVUAAKBEvXpmJKtbN+nYMTOF/7nnrK4KKEXAAkps3WqmG2zfbtZZrVkj9epldVUAAOCfwsLMmqxbbzVrpkePlu66SyoqsroygIAFSJKWLZPatpUOHJDOOcdMP7joIqurAgAApxIQIL30kmlIJUlPPy1dfbUZ1QIsRMACXnxR6tlTOnJEuuwy6YsvpAYNrK4KAAD8G5tNuuces6VKUJC0eLHUoYNZnwVYhIAF31VcbDYvvOMOM6Vg8GAzklWrltWVAQCAihgwQPr0UykiQtq0SWrdWvr+e6urgo8iYME35eZK114rPfmkOX7kEen116XAQGvrAgAAlXPppdLGjdJZZ0l790pt2kirVlldFXwQAQu+57ffpE6dpHfeMfO3//tf6YEHzDQDAADguRo3ljZsMOHqjz9Mp8G5c62uCj6GgAXf8uOPUmKiefGtVcu0Yx80yOqqAACAo0RGSp99Jl1zjVRQIN14o5mpYrdbXRl8BAELvuPzz024+vlnqWFDaf16sxAWAAB4l+rVpTffNA0wJOmhh6SbbpLy862tCz6BgAXfsGCB1Lmz9Pvv0n/+Y+ZoN21qdVUAAMBZ/PxMC/cXX5T8/aU5c6TLLzdTBwEnImDBu9ntUkqKdN115lOrvn3NgtfoaKsrAwAArjBsmNmUuGZN8x7gkktMEwzASQhY8F4FBdJtt0n33WeO77rLNLYICbG2LgAA4Frdu0vr1klnnCF9951p4/7111ZXBS9FwIJ3ysmRevSQXnnFTBF49llp2jQzRQAAAPie8883SwTOO89sRNy+vfTBB1ZXBS9EwIL3SUsze2EsX25GqxYtkkaNsroqAABgtXr1TNOrbt2kY8ekPn3Mh7CAAxGw4F22bDHD/tu3SzEx0tq1Uq9eVlcFAADcRViYWZN1221mrfadd0pJSVJRkdWVwUsQsOA9li6V2raVDhyQzj3XTANo2dLqqgAAgLsJCDDdBZ94whw/84x01VXS0aPW1gWvQMCCd5g5U+rZ07wwXnaZWcjaoIHVVQEAAHdls0njx5utXIKCpPfflzp2NOuzgCogYMGzFRdLd98tDR9urg8ZIi1bJtWqZXVlAADAEwwYIH32mVSnjrRpk1lq8N13VlcFD0bAgufKzTUvik89ZY4feUR67TUpMNDaugAAgGe55BJpwwbprLPMHllt2pg9s4BKIGDBM/32m9Spk7RwoZlHPXeu9MADZrgfAACgoho3NiGrTRspO9t0Gvzvf62uCh6IgAXP8+OPZvh+wwYzFXD5cumGG6yuCgAAeLrISDNd8JprpIICafBg6eGHTbdBoJwIWPAsn38uJSZKe/ZIDRtK69dLHTpYXRUAAPAW1atLb74p3XOPOU5ONmu88/OtrAoehIAFz/Hmm1LnztLvv0v/+Y9pw960qdVVAQAAb+PnJz3+uPTSS5K/v5kqePnl0h9/WF0ZPAABC+7PbpcmT5YGDjSfHvXtaxaeRkdbXRkAAPBmt90mffSRVLOmee/Rpo1pggGchkcGrOTkZNlstjKXmJiY0vvtdruSk5MVFxen4OBgdejQQTt37rSwYlRaQYF0663SxInm+K67pHfekUJCrK0LAAD4hssvN/trnnGG9P33Zh34pk1WVwU35pEBS5LOPfdcpaenl162b99eet+UKVM0bdo0zZgxQ5s2bVJMTIy6dOmiw4cPW1gxKiw7W7rySunVV81Q/XPPSdOmmaF6AAAAVzn/fLM04fzzzUbE7dubjYmBk/DYgFWtWjXFxMSUXurWrSvJjF49/fTTmjhxovr166dmzZppzpw5OnbsmObPn29x1Si3tDSpbVtpxQozWrV4sTRypNVVAQAAX1Wvnmm2dfnlZi/Ovn2lZ56xuiq4IY8NWLt371ZcXJwSEhJ07bXXas+ePZKk1NRUZWRkqGvXrqXnBgUFqX379lq/fv1pHzMvL085OTllLrDAli1Sq1bS9u1STIy0dq3Us6fVVQEAAF8XGip9+KFZm2W3S0lJ0p13SkVFVlcGN+KRAatVq1b673//q08++UQvv/yyMjIy1KZNGx06dEgZGRmSpOh/NECIjo4uve9UUlJSFB4eXnqJj4932s+AU1i61IxcpadL555rhuNbtrS6KgAAAKNaNenFF6UnnjDHzz4rXXWVdPSotXXBbXhkwOrevbuuuuoqNW/eXJ07d9aSJUskSXPmzCk9x2azlfkeu91+wm3/NGHCBGVnZ5de0tLSHF88Tm3mTDNSdfSo1KmTWVDaoIHVVQEAAJRls0njx0tvvSUFBZn1WB06SP/yYT58g0cGrH+qUaOGmjdvrt27d5d2E/znaFVmZuYJo1r/FBQUpLCwsDIXuEBxsXT33dLw4eb6kCFmJKtWLasrAwAAOLVrrpE++0yqU0f6+mvTYfC776yuChbzioCVl5en77//XrGxsUpISFBMTIxWrFhRen9+fr7WrFmjNm3aWFglTio317w4PfWUOX70Uem116TAQGvrAgAAKI9LLjFLGs46S/rlF7NX1sqVVlcFC3lkwBo3bpzWrFmj1NRUffnll7r66quVk5OjwYMHy2azKSkpSZMnT9aiRYu0Y8cODRkyRCEhIRo4cKDVpePvfvtNuuwy6d13pYAAae5c6f77zbA7AACApzjrLGnDBhO2srNNp8H//tfqqmCRalYXUBn79+/Xddddp4MHD6pu3bpq3bq1Nm7cqAZ/rtcZP368cnNzNXz4cGVlZalVq1Zavny5QkNDLa4cpXbtkq64QtqzR6pdW1q0yOwpAQAA4IkiI6VPPzVLHd56Sxo82LzPeeghPjz2MTa73W63ugh3lZOTo/DwcGVnZ7Mey5HWrpX69JGysqSEBLPe6v/+z+qqAAAAqq64WJo4UXr8cXM8aJD0yissf/AC5c0GHjlFEB5s/nypSxcTrlq1MnOWCVcAAMBb+PlJKSnSrFmSv79ZAnH55ea9D3wCAQuuYbdLkydL118v5eeb3c9XrpSioqyuDAAAwPFuvVVaskSqWVNatcqsz9q71+qq4AIELDhfQYF5kZk40RyPGSO9844UEmJtXQAAAM7UrZvZ1/OMM6TvvzezdzZtsroqOBkBC86VnS1deaX06qtmyHzGDGnqVDNkDgAA4O3OP1/68kvzNTPTNPV6/32rq4ITEbDgPPv2SZdeKq1YYUar3n9fGjHC6qoAAABc64wzpM8/N2uxcnPNUolnnrG6KjgJAQvO8c03ZjfzHTukmBjTObBHD6urAgAAsEZoqPThh9KwYWZtelKSdOedUlGR1ZXBwQhYcLwlS6R27aT0dOncc82weMuWVlcFAABgrWrVpJkzpSlTzPGzz0r9+klHj1pbFxyKgAXHeuEFqVcv80LRubP0xRdS/fpWVwUAAOAebDbp7rult9+WgoKkDz6QOnSQMjKsrgwOQsCCYxQXS+PGmTVWxcXSTTeZDYTDw62uDAAAwP3072+2rKlTR/r6a7O0YudOq6uCAxCwUHW5udI115jugJL02GOma2BAgLV1AQAAuLM2baSNG6XGjaVffjF7Za1caXVVqCICFqomM1O67DLp3XelwEDpjTfMflc2m9WVAQAAuL+zzpI2bDDhKjvb7J01Z47VVaEKCFiovF27pMRE88lL7drS8uXS9ddbXRUAAIBnqVNH+vRT6dprpcJCacgQKTnZdBuExyFgoXLWrjXhas8eKSFBWr/ebJwHAACAiqteXZo3T5owwRw//LA0eLCUn29tXagwAhYqbv58qUsXKStLatXKjGD93/9ZXRUAAIBn8/OTJk+WZs2S/P2luXPNlMGsLKsrQwUQsFB+drs0aZKZBpifb/ZtWLlSioqyujIAAADvceutZl/R0FBp9WrTDCM11eqqUE4ELJRPQYF0yy3S/feb47FjpXfekUJCrK0LAADAG3XrJq1bJ9WrJ/3wg2nj/tVXVleFciBg4d9lZ0tXXCG99poZup4xQ3rqKXMdAAAAznHeeWYpxgUXmM7NHTpIixdbXBT+De+QcXr79kmXXmo624SESO+/bzYTBgAAgPOdcYZpLta9u9l7tF8/6emnra4Kp0HAwql9841pYrFjhxQbK33+udSjh9VVAQAA+JbQUOmDD6Tbbzdr4u+6Sxo9WioqsroynAQBCyf30UdSu3ZSRobUrJkZnm7RwuqqAAAAfFO1atILL0hTppjj556T+vaVjh61ti6cgICFE73wgtS7t/kftnNns8Cyfn2rqwIAAPBtNpt0993S229LQUHShx+afUgzMqyuDH9DwMJfioulcePMGqviYunmm6WlS6XwcKsrAwAAQIn+/c1WOZGR0ubNpsPgzp1WV4U/EbBgHDtm/medOtUcP/aY9MorUkCAtXUBAADgRG3aSBs2SI0bS7/8Il1yiQldsBwBC6bt52WXSe+9JwUGSvPmSRMnmmFoAAAAuKezzjIh69JLzbY63bpJc+ZYXZXPI2D5upKN6778UqpdW1qxQho40OqqAAAAUB516pj3b9deKxUWSkOGSA89ZLoNwhIELF+2dq0ZXk5NlRo1Mp+AtGtndVUAAACoiOrVzQyk++4zx488Ig0eLOXlWVuXjyJg+aq5c6UuXaSsLLPX1YYN0tlnW10VAAAAKsPPT5o0SXr5Zcnf37zXu/xy814PLkXA8jXFxdL990s33ijl55vdwFetkqKirK4MAAAAVXXLLdKSJWZz4tWr/5qtBJchYPmSrCzp6qvNpxuSdO+90jvvSMHB1tYFAAAAx+nWzexjWq9e2fX2cAkClq/44gvpggukRYtM6/XXX5dSUsxwMgAAALzLeedJGzea93+ZmWad/ZNPSkVFVlfm9Xh37e3++MNsHNy2rbRvn3TmmSZsDRlidWUAAABwpjPOME3Nevc2S0PGj5fat5e2bbO6Mq/m9QHrhRdeUEJCgqpXr66WLVvq888/t7ok1zh2TJo+3TSueOEF06pz8GDpm2+kiy+2ujoAAAC4QmiomcH06qvmesmspltuMR++w+G8OmC99dZbSkpK0sSJE7Vlyxa1bdtW3bt31z5v/mXavdu06ExIkMaMMUPC//d/Zmfv2bOlsDCrKwQAAIAr2WzSzTdL27dL11xjPnh/9VWzTc+115r3iYWFVlfpNWx2u/fuQtaqVSu1aNFCM2fOLL2tadOm6tOnj1JSUv71+3NychQeHq7s7GyFWRxMjvyWa4Z2Cwr+uuTnSzk50o8/Slu2mP85fvj+r2+q30AaN066/nopMNC64gEAAOA+Nm6UHn1UWrvmr9si60qXXWa272na1EwvDA83Ld/9/U1Is0i16tVUvVZ1y56/RHmzgdcGrPz8fIWEhOidd95R3759S2+/8847tXXrVq1Zs+aE78nLy1Pe3zZky8nJUXx8vFsErABbgQoVYGkNAAAAgKtd1+ALzd97idVllDtgee0UwYMHD6qoqEjR0dFlbo+OjlZGRsZJvyclJUXh4eGll/j4eFeUCgAAAMBLVLO6AGez/WM40263n3BbiQkTJmjMmDGlxyUjWO4gJzNPCig2LdZprQ4AAABnstul4mLT1t3i1u7+gZ7VoM1rA1ZkZKT8/f1PGK3KzMw8YVSrRFBQkIKCglxRXoUF161pdQkAAADwGTZJ/n9eUBFeOxQSGBioli1basWKFWVuX7Fihdq0aWNRVQAAAAC8mdeOYEnSmDFjNGjQIF100UVKTEzUrFmztG/fPt1+++1WlwYAAADAC3l1wBowYIAOHTqkRx55ROnp6WrWrJmWLl2qBg0aWF0aAAAAAC/ktW3aHcGd9sECAAAAYB2fb9MOAAAAAK5GwAIAAAAAByFgAQAAAICDELAAAAAAwEEIWAAAAADgIF7dpr2qShos5uTkWFwJAAAAACuVZIJ/a8JOwDqNw4cPS5Li4+MtrgQAAACAOzh8+LDCw8NPeT/7YJ1GcXGxDhw4oNDQUNlsNktrycnJUXx8vNLS0tiTC5bidxHugt9FuAt+F+Eu+F10LrvdrsOHDysuLk5+fqdeacUI1mn4+fmpXr16VpdRRlhYGP/DwC3wuwh3we8i3AW/i3AX/C46z+lGrkrQ5AIAAAAAHISABQAAAAAOQsDyEEFBQXrooYcUFBRkdSnwcfwuwl3wuwh3we8i3AW/i+6BJhcAAAAA4CCMYAEAAACAgxCwAAAAAMBBCFgAAAAA4CAELAAAAABwEAIWAAAAADgIAQsAAAAAHISABQAAAAAOQsACAAAAAAchYAEAAACAgxCwAAAAAMBBCFgAAAAA4CAELAAAAABwEAIWAAAAADgIAQsAAAAAHISABQAAAAAOQsACAAAAAAchYAEAAACAgxCwAAAAAMBBCFgAAAAA4CAELAAAAABwEAIWAAAAADgIAQsAAAAAHISABQAAAAAOQsACAAAAAAchYAEAAACAgxCwAAAAAMBBCFgAAAAA4CAELAAAAABwEAIWAAAAADgIAQsAAAAAHISABQAAAAAOQsACAAAAAAchYAEAAACAgxCwAAAAAMBBCFgAAAAA4CAELAAAAABwEAIWAAAAADgIAQsAAAAAHISABQAAAAAOQsACAAAAAAchYAEAAACAgxCwAAAAAMBBCFgAAAAA4CAELAAAAABwEAIWAAAAADgIAQsAAAAAHISABQAAAAAOQsACAAAAAAepZnUB7qy4uFgHDhxQaGiobDab1eUAAAAAsIjdbtfhw4cVFxcnP79Tj1MRsE7jwIEDio+Pt7oMAAAAAG4iLS1N9erVO+X9BKzTCA0NlWT+EcPCwiyuBgAAAIBVcnJyFB8fX5oRToWAdRol0wLDwsIIWAAAAAD+dekQTS4AAAAAwEEIWAAAAADgIAQsAAAAAHAQ1mABAAAAkGRakRcWFqqoqMjqUlzO399f1apVq/L2TAQsAAAAAMrPz1d6erqOHTtmdSmWCQkJUWxsrAIDAyv9GAQsAAAAwMcVFxcrNTVV/v7+iouLU2BgYJVHcjyJ3W5Xfn6+fvvtN6Wmpqpx48an3Uz4dAhYAAAAgI/Lz89XcXGx4uPjFRISYnU5lggODlZAQIB++eUX5efnq3r16pV6HJpcAAAAAJCkSo/aeAtH/PyMYPmiggIpJUU6cKD831ORIeLynuuMx+T5rX1+b/yZeP7yn9uli9SmTfkfFwAAL0TA8kVLl0oPPWR1FQC8zbPPSgcPViy8AQDgZQhYvujHH83XCy+U+vQp3/fY7Y49z1nn+vJjWv38/Eye8fzO+plmzZJ+/1369VcpJqb83wcAgJchYPmi1FTztXt36cEHra0FgHdYskRKSzOvLwQsAICLFRcX65xzzlHv3r31xBNPlN7+ySefqGfPnpo3b5769+8vSbr//vsVExOjkSNHOqUW317F5qtKAlZCgrV1APAeJa8nJa8vAAC4kJ+fnyZMmKCZM2cqKytLkvTtt9+qf//+mjx5cmm4kqRFixapXbt2zqvFaY8M90XAAuBoBCwAgMWuv/56RUZG6tlnn9X+/ft15ZVXatCgQRo3blzpOQcOHFBkZKTOO+88p9VBwPI1xcXS3r3mOgELgKMQsAAAFqtWrZruuecePfvss7riiivUokULPfvss2XOWbFihdOmBpbW4dRHh/vJyJDy8iQ/Pyk+3upqAHgLAhYAeB+7XTp2zJrnDgmpVFfa66+/XklJSbLb7XrzzTfl7+9f5v49e/bogQcecFSVJ0XA8jUlb37i46WAAGtrAeA9CFgA4H2OHZNq1rTmuY8ckWrUqPC3lYxOHTx48IRwJUkPP/xwlUv7N0wR9DWsvwLgDCWvKfv2SYWF1tYCAPBJDzzwgJYsWaKNGzeqsLBQr776qiV1MILlawhYAJwhLk4KDJTy86X9+6WGDa2uCABQVSEhZiTJqueugFdeeUVTp07VypUrdf755yspKUlTpkzRbbfdpgAXz9ryyBGsmTNn6rzzzlNYWJjCwsKUmJioZcuWld5vt9uVnJysuLg4BQcHq0OHDtq5c6eFFbsRAhYAZ/Dzkxo0MNeZJggA3sFmM9P0rLhUYP3VsmXLNGLECL3xxhtq3bq1JGnUqFHKycnR3LlznfWvc0oeGbDq1aunxx9/XF9//bW+/vprXXbZZerdu3dpiJoyZYqmTZumGTNmaNOmTYqJiVGXLl10+PBhiyt3AwQsAM7COiwAgItt3rxZ/fv315QpU9SvX7/S28PCwjRq1Cg9/vjjKioqcmlNHhmwevbsqSuuuEJNmjRRkyZNNGnSJNWsWVMbN26U3W7X008/rYkTJ6pfv35q1qyZ5syZo2PHjmn+/PlWl249AhYAZyFgAQBcrGXLljpy5IjuvPPOE+575JFH9OOPP5602YUzeWTA+ruioiItWLBAR48eVWJiolJTU5WRkaGuXbuWnhMUFKT27dtr/fr1p32svLw85eTklLl4lYICKS3NXCdgAXA0AhYAAJ4bsLZv366aNWsqKChIt99+uxYtWqRzzjlHGRkZkqTo6Ogy50dHR5fedyopKSkKDw8vvcR72z5RaWlmo+GgICkmxupqAHgbAhYAAJ4bsM4++2xt3bpVGzdu1B133KHBgwfru+++K73f9o+FcXa7/YTb/mnChAnKzs4uvaSVjPZ4i5I3PQ0bmgXpAOBIBCwAADy3TXtgYKDOOussSdJFF12kTZs26ZlnntE999wjScrIyFBsbGzp+ZmZmSeMav1TUFCQgoKCnFe01Vh/BcCZSl5b0tOl3FwpONjaegAAsIDXDGPY7Xbl5eUpISFBMTExWrFiRel9+fn5WrNmjdq0aWNhhW6AgAXAmerUkWrWNNd/+cXaWgAAsIhHjmDdd9996t69u+Lj43X48GEtWLBAq1ev1scffyybzaakpCRNnjxZjRs3VuPGjTV58mSFhIRo4MCBVpduLQIWAGey2aRGjaRt28zrzf/9n9UVAQDgch4ZsH799VcNGjRI6enpCg8P13nnnaePP/5YXbp0kSSNHz9eubm5Gj58uLKystSqVSstX75coaGhFlduMQIWAGdLSPgrYAEA4IM8MmC9+uqrp73fZrMpOTlZycnJrinIUxCwADgbjS4AAD7Oa9Zg4V8cOyb9+qu5TsAC4CwELACAjyNg+Yq9e83XsDCpdm1LSwHgxQhYAAAfR8DyFSVvdho1MgvRAcAZCFgAAB9HwPIVrL8C4AoNG5qvWVnSH39YWQkAAJYgYPkKAhYAV6hZU6pb11xnFAsA4AKFhYU688wzNXr06BPuu/3223XmmWcqMzNT999/v2bMmOH0eghYvoKABcBVmCYIAHChatWq6d5779Wrr76qQ4cOld6ekpKihQsXatmyZYqKitKiRYvUrl07p9dDwPIVBCwArkLAAgC42ODBg1WnTh09//zzkqR58+bp0Ucf1QcffKAmTZrowIEDioyM1Hnnnef0WjxyHyxUAgELgKsQsAAALhYYGKjx48frkUce0UUXXaRbbrlFb7zxhtq0aSNJWrFihUaOHOmSWghYviArS8rONtdLFqADgLMQsADAK9jtZitVK4SEVLzx9S233KJJkyapZ8+emjp1qq666qrS+/bs2aMHHnjAwVWeHAHLF5S8yYmONr+tAOBMBCwA8ArHjpneRVY4ckSqUaNi31O9enV17NhRaWlpSkpKKnPfww8/7Lji/gVrsHwB0wMBuFLJa83evebjTwAAXGTbtm1q1aqVpTUwguULCFgAXKl+fTOvIzdX+vVXKSbG6ooAAJUQEmJGkqx67orKzc3VDz/8oIkTJzq+oAogYPkCAhYAVwoMlOrVk9LSzOsPAQsAPJLNVvFpelbaunWrioqK1KJFC0vrYIqgLyBgAXA11mEBAFzsm2++Uc2aNdW4cWNL6yBg+QICFgBXI2ABAFxsxIgROnz4sPz8rI04BCxvZ7ebheYSAQuA6xCwAAA+ioDl7TIypOPHJT8/KT7e6moA+AoCFgDARxGwvF3Jm5v4eCkgwNpaAPgOAhYAwEcRsLzdnj3mK9MDAbhSyWvOvn1SYaG1tQAA4EIELG9HgwsAVoiLM+3ai4qk/futrgYAAJchYHk7AhYAK/j5SQ0amOtMEwQA+BAClrcjYAGwCuuwAMDj2O12q0uwlCN+fgKWtyNgAbAKAQsAPEbAn83Qjh07ZnEl1ir5+QOq0ByumqOKgRsqKJDS0sx1AhYAVyNgAYDH8Pf3V61atZSZmSlJCgkJkc1ms7gq17Hb7Tp27JgyMzNVq1Yt+fv7V/qxCFjeLC1NKi6WgoKkmBirqwHgawhYAOBRYv58v1gSsnxRrVq1Sv8dKouA5c1K3tQ0bGgWnAOAKxGwAMCj2Gw2xcbGKioqSgUFBVaX43IBAQFVGrkqQcDyZqy/AmClRo3M1/R0KTdXCg62th4AQLn4+/s7JGj4Ko8c1khJSdHFF1+s0NBQRUVFqU+fPtq1a1eZc+x2u5KTkxUXF6fg4GB16NBBO3futKhiixCwAFgpIkIKDTXXf/nF2loAAHARjwxYa9as0YgRI7Rx40atWLFChYWF6tq1q44ePVp6zpQpUzRt2jTNmDFDmzZtUkxMjLp06aLDhw9bWLmLEbAAWMlmY5ogAMDneOQUwY8//rjM8euvv66oqCht3rxZ7dq1k91u19NPP62JEyeqX79+kqQ5c+YoOjpa8+fP17Bhw6wo2/UIWACslpAgbdtGwAIA+AyPHMH6p+zsbElSRESEJCk1NVUZGRnq2rVr6TlBQUFq37691q9ff8rHycvLU05OTpmLRyNgAbAaI1gAAB/j8QHLbrdrzJgxuvTSS9WsWTNJUkZGhiQpOjq6zLnR0dGl951MSkqKwsPDSy/x8fHOK9zZjh2Tfv3VXCdgAbAKAQsA4GM8PmCNHDlS27Zt05tvvnnCff/cHM1ut592w7QJEyYoOzu79JJWskmvJ9q713wNC5Nq17a0FAA+jIAFAPAxHrkGq8SoUaP0wQcfaO3atapXr17p7SWbg2VkZCg2Nrb09szMzBNGtf4uKChIQUFBzivYlf4+PdCHduEG4GZKAtaePdbWAQCAi3jkCJbdbtfIkSP13nvvaeXKlUr4xxS4hIQExcTEaMWKFaW35efna82aNWrTpo2ry7UG668AuIOGDc3XP/4wFwAAvJxHjmCNGDFC8+fP1/vvv6/Q0NDSdVXh4eEKDg6WzWZTUlKSJk+erMaNG6tx48aaPHmyQkJCNHDgQIurdxECFgB3ULOmVLeu9Ntv5nXpwgutrggAAKfyyIA1c+ZMSVKHDh3K3P76669ryJAhkqTx48crNzdXw4cPV1ZWllq1aqXly5crtGTTS29HwALgLhISCFgAAJ/hkQHLbrf/6zk2m03JyclKTk52fkHuiIAFwF0kJEhffUWjCwCAT/DINVgoBwIWAHdBJ0EAgA8hYHmjrCzpz82XSxeYA4BVCFgAAB9CwPJGJW9ioqKkGjWsrQUACFgAAB9CwPJGTA8E4E5KXov27pXKsYYWAABPRsDyRgQsAO6kfn2z4XlurvTrr1ZXAwCAUxGwvBEBC4A7CQyU6tUz15kmCADwcgQsb0TAAuBuWIcFAPARBCxvRMAC4G4IWAAAH0HA8jZ2u1lILhGwALgPAhYAwEcQsLxNRoZ0/Ljk52cWlgOAOyBgAQB8BAHL25S8ealXTwoIsLYWAChBwAIA+AgClrdh/RUAd1TymrRvn1RYaG0tAAA4EQHL2xCwALijuDjTrr2oSNq/3+pqAABwGgKWtyFgAXBHfn5SgwbmOtMEAQBejIDlbQhYANwV67AAAD6AgOVtCFgA3BUBCwDgAwhY3qSwUEpLM9cJWADcDQELAOADCFjeJC3NLCAPCpJiY62uBgDKatTIfCVgAQC8GAHLm5S8aWnQwCwoBwB3wggWAMAH8C7cm7D+CoA7K3ltSk+XcnOtrQUAACchYHkTAhYAdxYRIYWGmuu//GJtLQAAOAkBy5sQsAC4M5uNaYIAAK9HwPImBCwA7o6ABQDwcgQsb0LAAuDuCFgAAC9HwPIWublSRoa5TsAC4K4IWAAAL0fA8hZ795qvoaFmITkAuKOSgLVnj7V1AADgJAQsb/H36YE2m7W1AMCpMIIFAPByHhuw1q5dq549eyouLk42m02LFy8uc7/dbldycrLi4uIUHBysDh06aOfOndYU6wqsvwLgCRo2NF//+MNcAADwMh4bsI4eParzzz9fM2bMOOn9U6ZM0bRp0zRjxgxt2rRJMTEx6tKliw4fPuziSl2EgAXAE9SsKdWta64zigUA8ELVynviBx98UOEH79Kli4KDgyv8feXRvXt3de/e/aT32e12Pf3005o4caL69esnSZozZ46io6M1f/58DRs2zCk1WYqABcBTJCRIv/1mXrcuvNDqagAAcKhyB6w+ffpU6IFtNpt2796tRo0aVbSmKktNTVVGRoa6du1aeltQUJDat2+v9evXnzJg5eXlKS8vr/Q4JyfH6bU6DAELgKdISJC++ooRLACAV6rQFMGMjAwVFxeX6xISEuKsmstVpyRFR0eXuT06Orr0vpNJSUlReHh46SU+Pt6pdToUAQuAp6DRBQDAi5U7YA0ePLhC0/1uuOEGhYWFVaooR7H9o5ue3W4/4ba/mzBhgrKzs0svaWlpzi7RMf6+WLxkATkAuCsCFgDAi5V7iuDrr79eoQeeOXNmhYtxlJiYGElmJCs2Nrb09szMzBNGtf4uKChIQUFBTq/P4UrepNStaxaQA4A7I2ABALyYx3YRPJ2EhATFxMRoxYoVpbfl5+drzZo1atOmjYWVOQnTAwF4kpLXqr17Jbvd0lIAAHC0co9gjRkzptwPOm3atEoVUxFHjhzRTz/9VHqcmpqqrVu3KiIiQvXr11dSUpImT56sxo0bq3Hjxpo8ebJCQkI0cOBAp9fmcgQsAJ6kfn2zIXpurvTrr9Kfsw4AAPAG5Q5YW7ZsKXO8efNmFRUV6eyzz5Yk/fjjj/L391fLli0dW+EpfP311+rYsWPpcUkAHDx4sGbPnq3x48crNzdXw4cPV1ZWllq1aqXly5crNDTUJfW5FAELgCcJDJTq1ZPS0szrFwELAOBFyh2wVq1aVXp92rRpCg0N1Zw5c1S7dm1JUlZWlm666Sa1bdvW8VWeRIcOHWQ/zdQSm82m5ORkJScnu6QeSxGwAHiahIS/AlZiotXVAADgMJVagzV16lSlpKSUhitJql27th577DFNnTrVYcWhnAhYADwNjS4AAF6qUgErJydHv/766wm3Z2Zm6vDhw1UuChVgt5uF4hIBC4DnIGABALxUpQJW3759ddNNN2nhwoXav3+/9u/fr4ULF2ro0KHq16+fo2vE6fz6q1kobrOZheMA4AkIWAAAL1XuNVh/9+KLL2rcuHG64YYbVFBQYB6oWjUNHTpUTz75pEMLxL8oeXNSr55ZOA4AnoCABQDwUpUKWCEhIXrhhRf05JNP6ueff5bdbtdZZ52lGjVqOLo+/BvWXwHwRCWvWfv2SYWFUrVK/TkCAMDtVOkv2i+//KIDBw4oPz9fv/zyS+ntvXr1qnJhKCcCFgBPFBdnRt3z86X9+6WGDa2uCAAAh6hUwNqzZ4/69u2r7du3y2azlbZLt9lskqSioiLHVYjTI2AB8ER+flKDBtLu3eZ1jIAFAPASlWpyceeddyohIUG//vqrQkJCtGPHDq1du1YXXXSRVq9e7eAScVoELACeinVYAAAvVKkRrA0bNmjlypWqW7eu/Pz85O/vr0svvVQpKSkaPXq0tmzZ4ug6cSoELACeqlEj85WABQDwIpUawSoqKlLNmjUlSZGRkTpw4IAkqUGDBtq1a5fjqsPpFRaaBeISAQuA52EECwDghSo1gtWsWTNt27ZNjRo1UqtWrTRlyhQFBgZq1qxZalTyiSScb/9+qajILBSPi7O6GgCoGAIWAMALVSpg3X///Tp69Kgk6bHHHlOPHj3Utm1b1alTR2+99ZZDC8RplLwpadDALBgHAE9CwAIAeKFKBaxu3bqVXm/UqJG+++47/f7776pdu3ZpJ0G4AOuvAHiykteu9HQpN1cKDra2HgAAHKDCwx4FBQXq2LGjfvzxxzK3R0REEK5cjYAFwJNFREihoeb63/ZSBADAk1U4YAUEBGjHjh2EKXdAwALgyWw2pgkCALxOpRbu3HjjjXr11VcdXQsqioAFwNMRsAAAXqZSa7Dy8/P1yiuvaMWKFbroootUo0aNMvdPmzbNIcXhXxCwAHg6AhYAwMtUKmDt2LFDLVq0kKQT1mIxddBFcnPNwnCJgAXAc5W8fu3ZY20dAAA4SKUC1qpVqxxdByqqZEF4zZpSnTrW1gIAlcUIFgDAy1QqYEnS8ePHtW3bNmVmZqq4uLj0dpvNpp49ezqkOJxGyZuRRo3MQnEA8EQELACAl6lUwPr44481aNAgHTp06IT7bDabioqKqlwY/gXrrwB4g4YNzdc//jCXWrWsqwUAAAeoVBfBkSNH6pprrlF6erqKi4vLXAhXLkLAAuANataU6tY11xnFAgB4gUoFrMzMTI0ZM0bR0dGOrgflRcAC4C2YJggA8CKVClhXX321Vq9e7eBSUCEELADegoAFAPAilVqDNWPGDPXv31+ff/65mjdvroCAgDL3jx492iHF4TQIWAC8BQELAOBFKhWw5s+fr08++UTBwcFavXp1mb2vbDYbAcvZsrOlrCxzvWSBOAB4KgIWAMCLVGqK4P33369HHnlE2dnZ2rt3r1JTU0sve9xss8gXXnhBCQkJql69ulq2bKnPP//c6pKqruRNSN26ZoE4AHgyAhYAwItUKmDl5+drwIAB8vOr1Le7zFtvvaWkpCRNnDhRW7ZsUdu2bdW9e3ft27fP6tKqhumBALxJyWvZ3r2S3W5pKQAAVFWlEtLgwYP11ltvOboWh5s2bZqGDh2qW265RU2bNtXTTz+t+Ph4zZw50+rSqqZklJCABcAb1K9vNkzPzZV+/dXqagAAqJJKrcEqKirSlClT9Mknn+i88847ocnFtGnTHFJcVeTn52vz5s269957y9zetWtXrV+/3qKqKslu16L7NsmeXyAVFEhrjkjqK+X3kN6zujgAqKpAKeIW6dBBafxGKTa27N02m7n887a/f63K7f92bund5bg9KkqqXVsA4BWysqRdu6yuQvWahuo/N51rdRnlVqmAtX37dl144YWSpB07dpS5z/bPP1QWOXjwoIqKik7Yqys6OloZGRkn/Z68vDzl5eWVHufk5Di1xoq45vELVaiSINvBfFn05wUAPN4s82WutVUAAP6utqTWVheh6xp8ofk3WV1F+VUqYK1atcrRdTjNPwOf3W4/ZQhMSUnRww8/7IqyKsZmU5vwnSqy+0t+fpKfTQoMkho2kPwr9Z8QANxLVpa0f/+fa7BOsg7rhJvsjr2/zE2nWAf2b4+Rl2fqP7eZVKvWyR8DADxFcZG0YYO5Hhqqvw3bu1yThgWWPXdleO2788jISPn7+58wWpWZmXnCqFaJCRMmaMyYMaXHOTk5io+Pd2qd5bXmjwusLgEAnKj2nxcPdsUV0rJl0p2zpFtvtboaAKia73+UzmlrwlV29onTqXFK5W5ysW3bNhUXF5f7gXfu3KnCwsJKFeUIgYGBatmypVasWFHm9hUrVqhNmzYn/Z6goCCFhYWVuQAAUC60mwfgTf7etZpwVSHlDlgXXnihDh06VO4HTkxMtLwd+pgxY/TKK6/otdde0/fff6+77rpL+/bt0+23325pXQAAL0TAAuBN2Bao0so9RdBut+uBBx5QSEhIuc7Pz8+vdFGOMmDAAB06dEiPPPKI0tPT1axZMy1dulQNGjSwujQAgLchYAHwJgSsSit3wGrXrp12VaBNY2JiooKDgytVlCMNHz5cw4cPt7oMAIC3I2AB8CYErEord8BavXq1E8sAAMDDlbwJycyUjh6VatSwth4AqAoCVqWVew0WAAA4jdq1pfBwc33vXktLAYAqI2BVGgELAABHYZogAG/wxx/mIhGwKoGABQCAoxCwAHiDktewqCimO1cCAQsAAEchYAHwBkwPrJIKBawXXnhBO3bscFYtAAB4NgIWAG9AwKqSCgWs9PR0XXvtterYsaPeffddFRcXO6suAAA8DwELgDcgYFVJhQLWo48+qh07dmj+/Pk6evSoHn30UWfVBQCA5/l7wLLbra0FACqLgFUl5d4HS5IOHjyoyMhIxcbG6sYbb3RWTQAAeKaGDc3XnBwpK0uKiLC0HAColD17zFcCVqVUaAQrMTFRP//8s7NqAQDAs4WESNHR5jrTBAF4Irv9r738CFiVUqGA1alTJyUmJurLL790Vj0AAHg21mEB8GQZGdLx45Kfn1S/vtXVeKQKBawXX3xRd911lzp16qTFixc7qSQAADwYAQuAJyt57apXTwoIsLYWD1XhfbAmTJigl156SQMHDtRzzz3njJoAAPBcBCwAnowGF1VWoSYXJa6//npFRESoV69eWrhwoVq1aqWWLVuqRYsWaty4saNrBADAcxCwAHgyAlaVVThgZWVl6fnnn9eMGTNUt25d1atXT8uWLdP06dNVVFSk0NBQZWdnO6NWAADcHwELgCcjYFVZhQLWnXfeqddee00RERF64IEHdMsttygoKEiSdPz4cW3ZskVbtmxxSqEAAHiEkjcle/dKxcVmoTgAeAoCVpVVKGAtWbJE06dP1+DBgxXwj0Vv1atXV2JiohITEx1aIAAAHiU+3oSqvDzTjSsuzuqKAKD8CFhVVqGP1fr27avmzZufEK4AAMCfAgJMyJKYJgjAsxQWSmlp5joBq9IqFLAOHjyonj17KjY2VrfddpuWLFmivLw8Z9UGAIBnYh0WAE+UliYVFUlBQVJsrNXVeKwKBazXX39dv/76q95++23VqlVLY8eOVWRkpPr166fZs2fr4MGDzqoTAADPQcAC4IlKXrMaNGD9aBVU+F/OZrOpbdu2mjJlin744Qd99dVXat26tV5++WWdccYZateunZ566in973//c0a9AAC4PwIWAE/E+iuHqHI0bdq0qcaPH68vvvhC+/fv1+DBg/X555/rzTffdER9AAB4HgIWAE9EwHKICnURfOGFF9SuXTs1a9bspPfXrVtXQ4cO1dChQx1SHAAAHomABcATEbAcokIjWOnp6br22mvVsWNHvfvuuyouLnZWXQAAeK6SNydpaVJBgbW1AEB5EbAcokIB69FHH9WOHTs0f/58HT16VI8++qiz6gIAwHPFxJguXMXFf7U8BgB3R8ByiApNESwRGxurG2+80dG1AADgHfz8pIYNpV27zBuWRo2srggATi8312yOLhGwqqhCI1jvvvuus+oAAMC7sA4LgCfZu9d8DQ2VIiIsLcXTVShgDRw4UNOnTz/tOXa7vUoFlcekSZPUpk0bhYSEqFatWic9Z9++ferZs6dq1KihyMhIjR49Wvn5+U6vDQAASQQsAJ7l79MDbTZra/FwFQpYH3zwgZKTkzV69OgTglRRUZFmz56tpk2bOrTAk8nPz1f//v11xx13nPT+oqIiXXnllTp69KjWrVunBQsW6N1339XYsWOdXhsAAJIIWAA8C+uvHKZCa7C6deumtWvXqkePHkpLS9P8+fPl7++vV199VVOmTFF2drZGjRrlrFpLPfzww5Kk2bNnn/T+5cuX67vvvlNaWpri4uIkSVOnTtWQIUM0adIkhYWFOb1GAICPI2AB8CQELIepcJOL888/Xxs3btQVV1yh1q1b6+DBgyooKFBSUpJGjRql0NBQZ9RZIRs2bFCzZs1Kw5VkwmFeXp42b96sjh07WlgdAMAnELAAeBIClsNUOGBlZ2frtdde0//+9z8dO3ZMNptNGzduVPPmzZ1RX6VkZGQoOjq6zG21a9dWYGCgMkq6o5xEXl6e8vLySo9zcnKcViMAwMuVvEn59Vfp2DEpJMTaegDgdEoCFl1Pq6xCa7AmTJigBg0aaPbs2Zo8ebJ+++039e/fX507d9amTZuqVEhycrJsNttpL19//XW5H892ksV5drv9pLeXSElJUXh4eOklPj6+Uj8LAACqXVsqmZJe0p0LANwVI1gOU6ERrMWLF+vZZ5/V9ddfL39/f0lmHdQDDzygjh07at68eerdu3elChk5cqSuvfba057TsGHDcj1WTEyMvvzyyzK3ZWVlqaCg4ISRrb+bMGGCxowZU3qck5NDyAIAVI7NZt6ofPuteeNyzjlWVwQAJ/fHH+YimT38UCUVCljffffdSUeAHn30UTVo0EADBgzQU089pZEjR1a4kMjISEVGRlb4+04mMTFRkyZNUnp6umJjYyWZxhdBQUFq2bLlKb8vKChIQUFBDqkBAIAyAQsA3FXJa1RUlFSjhrW1eIEKBazTTa+75ZZbdMYZZ2jAgAGVClgVsW/fPv3+++/at2+fioqKtHXrVknSWWedpZo1a6pr164655xzNGjQID355JP6/fffNW7cON166610EAQAuA6NLgB4AqYHOlSFm1ycTvfu3bV69WpHPuRJPfjgg5ozZ07p8YUXXihJWrVqlTp06CB/f38tWbJEw4cP1yWXXKLg4GANHDhQTz31lNNrAwCgFAELgCfYs8d8JWA5hEMDliS1aNHC0Q95gtmzZ59yD6wS9evX10cffeT0WgAAOCUCFgBPwAiWQ1WoiyAAAKgAAhYAT0DAcigCFgAAzlLSjSs7W8rKsrQUADglApZDEbAAAHCWGjVMVy6JUSwA7slu/2uvPgKWQxCwAABwJqYJAnBnGRnS8eOSn59Uv77V1XgFAhYAAM5EwALgzkpem+rVkwICrK3FSxCwAABwJgIWAHfG+iuHI2ABAOBMjRqZrwQsAO6IgOVwBCwAAJyJESwA7oyA5XAELAAAnKnkTcvevaZbFwC4EwKWwxGwAABwpvh4053r+HHTrQsA3AkBy+EIWAAAOFNAgAlZEtMEAbiXwkIpLc1cJ2A5DAELAABnYx0WAHeUliYVFUlBQVJsrNXVeA0CFgAAzkbAAuCOSl6TGjQwU5nhEPxLAgDgbAQsAO6I9VdOQcACAMDZCFgA3BEByykIWAAAOBsBC4A7ImA5BQELAABnK3nzkpZmunYBgDsgYDkFAQsAAGeLiTFduoqK/mqJDABWI2A5BQELAABn8/OTGjY015kmCMAd5Ob+tfk5AcuhCFgAALgC67AAuJO9e83X0FApIsLSUrwNAQsAAFcgYAFwJ3+fHmizWVuLlyFgAQDgCgQsAO6E9VdOQ8ACAMAVCFgA3EnJa1GjRtbW4YUIWAAAuAIBC4A7YQTLaQhYAAC4QsmbmIwM070LAKxEwHIaAhYAAK5Qu7YUFmaul3TvAgCrELCchoAFAIAr2GxMEwTgHrKypD/+MNdL9uiDw3hcwNq7d6+GDh2qhIQEBQcH68wzz9RDDz2k/Pz8Muft27dPPXv2VI0aNRQZGanRo0efcA4AAC5FwALgDkpeg6KipBo1rK3FC1WzuoCK+uGHH1RcXKyXXnpJZ511lnbs2KFbb71VR48e1VNPPSVJKioq0pVXXqm6detq3bp1OnTokAYPHiy73a7nnnvO4p8AAOCzCFgA3AHTA53K4wLW5Zdfrssvv7z0uFGjRtq1a5dmzpxZGrCWL1+u7777TmlpaYqLi5MkTZ06VUOGDNGkSZMUVjIHHgAAVyJgAXAHBCyn8rgpgieTnZ2tiIiI0uMNGzaoWbNmpeFKkrp166a8vDxt3rz5lI+Tl5ennJycMhcAAByGgAXAHRCwnMrjA9bPP/+s5557TrfffnvpbRkZGYqOji5zXu3atRUYGKiMjIxTPlZKSorCw8NLL/Hx8U6rGwDggwhYANwBAcup3CZgJScny2aznfby9ddfl/meAwcO6PLLL1f//v11yy23lLnPZrOd8Bx2u/2kt5eYMGGCsrOzSy9paWmO+eEAAJD+6tb1xx+mixcAWIGA5VRuswZr5MiRuvbaa097TsO/tZE8cOCAOnbsqMTERM2aNavMeTExMfryyy/L3JaVlaWCgoITRrb+LigoSEFBQRUvHgCA8qhRw3Ttysw0b3Bq17a6IgC+xm7/ay8+ApZTuE3AioyMVGRkZLnO/d///qeOHTuqZcuWev311+XnV3YgLjExUZMmTVJ6erpiY2MlmcYXQUFBatmypcNrBwCg3BIS/gpYLVpYXQ0AX5ORIR0/Lvn5SfXrW12NV3KbKYLldeDAAXXo0EHx8fF66qmn9NtvvykjI6PM2qquXbvqnHPO0aBBg7RlyxZ99tlnGjdunG699VY6CAIArMU6LABWKnntqVdPCgiwthYv5TYjWOW1fPly/fTTT/rpp59Ur169MvfZ7XZJkr+/v5YsWaLhw4frkksuUXBwsAYOHFjaxh0AAMsQsABYifVXTudxAWvIkCEaMmTIv55Xv359ffTRR84vCACAiiBgAbASAcvpPG6KIAAAHo2ABcBKBCynI2ABAOBKJW9q9u413bwAwJUIWE5HwAIAwJXq1zfdu44fN928AMCVCFhOR8ACAMCVAgJM9y6JaYIAXKuwUEpLM9cJWE5DwAIAwNVYhwXACmlpUlGRFBQk/blXLByPgAUAgKsRsABYoeQ1p0EDM1UZTsG/LAAArkbAAmAF1l+5BAELAABXI2ABsAIByyUIWAAAuBoBC4AVCFguQcACAMDVSt7cpKWZrl4A4AoELJcgYAEA4GqxsaaLV1HRXy2TAcDZCFguQcACAMDV/PxMFy+JaYIAXCM396/NzQlYTkXAAgDACqzDAuBKe/ear6GhUkSEpaV4OwIWAABWIGABcKWS15pGjSSbzdpavBwBCwAAKxCwALgS669choAFAIAVCFgAXImA5TIELAAArEDAAuBKBCyXIWABAGCFkjc5GRmmuxcAOBMBy2UIWAAAWCEiwnTzkv7q7gUAzrJnj/lKwHI6AhYAAFaw2ZgmCMA1srKk7GxzvWFDS0vxBQQsAACsQsAC4AolrzFRUVKNGtbW4gMIWAAAWIWABcAVWH/lUgQsAACsQsAC4AoELJciYAEAYBUCFgBXIGC5FAELAACrELAAuAIBy6UIWAAAWKWkm9cff5gLADgDAculCFgAAFilZk2pbl1znVEsAM5gt/+11x4ByyU8MmD16tVL9evXV/Xq1RUbG6tBgwbpwIEDZc7Zt2+fevbsqRo1aigyMlKjR49Wfn6+RRUDAHAKTBME4EwZGdLx45Kfn1S/vtXV+ASPDFgdO3bU22+/rV27dundd9/Vzz//rKuvvrr0/qKiIl155ZU6evSo1q1bpwULFujdd9/V2LFjLawaAICTIGABcKaS15Z69aSAAGtr8RHVrC6gMu66667S6w0aNNC9996rPn36qKCgQAEBAVq+fLm+++47paWlKS4uTpI0depUDRkyRJMmTVJYWJhVpQMAUBYBC4Azsf7K5TxyBOvvfv/9d82bN09t2rRRwJ+pfMOGDWrWrFlpuJKkbt26KS8vT5s3bz7lY+Xl5SknJ6fMBQAApyJgAXAmApbLeWzAuueee1SjRg3VqVNH+/bt0/vvv196X0ZGhqKjo8ucX7t2bQUGBiojI+OUj5mSkqLw8PDSS3x8vNPqBwBAEgELgHMRsFzObQJWcnKybDbbaS9ff/116fl33323tmzZouXLl8vf31833nij7HZ76f02m+2E57Db7Se9vcSECROUnZ1deklLS3PsDwkAwD+VvOnZu9d0+wIARyJguZzbrMEaOXKkrr322tOe07BkvxBJkZGRioyMVJMmTdS0aVPFx8dr48aNSkxMVExMjL788ssy35uVlaWCgoITRrb+LigoSEFBQVX6OQAAqJD69SWbTcrNlX79VYqJsboiAN6EgOVybhOwSgJTZZSMXOXl5UmSEhMTNWnSJKWnpys2NlaStHz5cgUFBally5aOKRgAAEcIDDTdvdLSzBshAhYARyksNK8tEgHLhdxmimB5ffXVV5oxY4a2bt2qX375RatWrdLAgQN15plnKjExUZLUtWtXnXPOORo0aJC2bNmizz77TOPGjdOtt95KB0EAgPthHRYAZ0hLk4qKpKAg6c9BBzifxwWs4OBgvffee+rUqZPOPvts3XzzzWrWrJnWrFlTOr3P399fS5YsUfXq1XXJJZfommuuUZ8+ffTUU09ZXD0AACdBwALgDCWvKQ0amI2G4RJuM0WwvJo3b66VK1f+63n169fXRx995IKKAACoIgIWAGdg/ZUliLIAAFiNgAXAGQhYliBgAQBgNQIWAGcgYFmCgAUAgNVK3vzs22e6fgGAIxCwLEHAAgDAanFxpl17UZG0f7/V1QDwFgQsSxCwAACwmp+f6fIlMU0QgGPk5koZGeZ6o0bW1uJjPK6LIAAAXikhQdq9W/rhB+mii8r3PXa7Y8/zxse0+vn5mTzj+b3xZyr5sCYsTKpdu/yPjyojYAEA4A5KpvAMH24uAOAICQmSzWZ1FT6FgAUAgDvo2VOaM0c6ftzqSlBe5X3TWpE3t844l+f33eevVk265ZbyPyYcgoAFAIA7uPJKKSfHNLooL094g+dpzw8AVUTAAgDAXQQEmAsAwGPRRRAAAAAAHISABQAAAAAOQsACAAAAAAchYAEAAACAgxCwAAAAAMBBCFgAAAAA4CAELAAAAABwEAIWAAAAADgIAQsAAAAAHKSa1QW4M7vdLknKycmxuBIAAAAAVirJBCUZ4VQIWKdx+PBhSVJ8fLzFlQAAAABwB4cPH1Z4ePgp77fZ/y2C+bDi4mIdOHBAoaGhstlsltaSk5Oj+Ph4paWlKSwszNJa4Nv4XYS74HcR7oLfRbgLfhedy2636/Dhw4qLi5Of36lXWjGCdRp+fn6qV6+e1WWUERYWxv8wcAv8LsJd8LsId8HvItwFv4vOc7qRqxI0uQAAAAAAByFgAQAAAICDELA8RFBQkB566CEFBQVZXQp8HL+LcBf8LsJd8LsId8HvonugyQUAAAAAOAgjWAAAAADgIAQsAAAAAHAQAhYAAAAAOAgBCwAAAAAchIDlAV544QUlJCSoevXqatmypT7//HOrS4IPSk5Ols1mK3OJiYmxuiz4gLVr16pnz56Ki4uTzWbT4sWLy9xvt9uVnJysuLg4BQcHq0OHDtq5c6c1xcKr/dvv4pAhQ054nWzdurU1xcJrpaSk6OKLL1ZoaKiioqLUp08f7dq1q8w5vC5ai4Dl5t566y0lJSVp4sSJ2rJli9q2bavu3btr3759VpcGH3TuuecqPT299LJ9+3arS4IPOHr0qM4//3zNmDHjpPdPmTJF06ZN04wZM7Rp0ybFxMSoS5cuOnz4sIsrhbf7t99FSbr88svLvE4uXbrUhRXCF6xZs0YjRozQxo0btWLFChUWFqpr1646evRo6Tm8LlqLNu1urlWrVmrRooVmzpxZelvTpk3Vp08fpaSkWFgZfE1ycrIWL16srVu3Wl0KfJjNZtOiRYvUp08fSeZT2ri4OCUlJemee+6RJOXl5Sk6OlpPPPGEhg0bZmG18Gb//F2UzAjWH3/8ccLIFuBMv/32m6KiorRmzRq1a9eO10U3wAiWG8vPz9fmzZvVtWvXMrd37dpV69evt6gq+LLdu3crLi5OCQkJuvbaa7Vnzx6rS4KPS01NVUZGRpnXyaCgILVv357XSVhi9erVioqKUpMmTXTrrbcqMzPT6pLg5bKzsyVJERERknhddAcELDd28OBBFRUVKTo6uszt0dHRysjIsKgq+KpWrVrpv//9rz755BO9/PLLysjIUJs2bXTo0CGrS4MPK3kt5HUS7qB79+6aN2+eVq5cqalTp2rTpk267LLLlJeXZ3Vp8FJ2u11jxozRpZdeqmbNmkniddEdVLO6APw7m81W5thut59wG+Bs3bt3L73evHlzJSYm6swzz9ScOXM0ZswYCysDeJ2EexgwYEDp9WbNmumiiy5SgwYNtGTJEvXr18/CyuCtRo4cqW3btmndunUn3MfronUYwXJjkZGR8vf3P+HThszMzBM+lQBcrUaNGmrevLl2795tdSnwYSWdLHmdhDuKjY1VgwYNeJ2EU4waNUoffPCBVq1apXr16pXezuui9QhYbiwwMFAtW7bUihUryty+YsUKtWnTxqKqACMvL0/ff/+9YmNjrS4FPiwhIUExMTFlXifz8/O1Zs0aXidhuUOHDiktLY3XSTiU3W7XyJEj9d5772nlypVKSEgocz+vi9ZjiqCbGzNmjAYNGqSLLrpIiYmJmjVrlvbt26fbb7/d6tLgY8aNG6eePXuqfv36yszM1GOPPaacnBwNHjzY6tLg5Y4cOaKffvqp9Dg1NVVbt25VRESE6tevr6SkJE2ePFmNGzdW48aNNXnyZIWEhGjgwIEWVg1vdLrfxYiICCUnJ+uqq65SbGys9u7dq/vuu0+RkZHq27evhVXD24wYMULz58/X+++/r9DQ0NKRqvDwcAUHB8tms/G6aDU73N7zzz9vb9CggT0wMNDeokUL+5o1a6wuCT5owIAB9tjYWHtAQIA9Li7O3q9fP/vOnTutLgs+YNWqVXZJJ1wGDx5st9vt9uLiYvtDDz1kj4mJsQcFBdnbtWtn3759u7VFwyud7nfx2LFj9q5du9rr1q1rDwgIsNevX98+ePBg+759+6wuG17mZL+Dkuyvv/566Tm8LlqLfbAAAAAAwEFYgwUAAAAADkLAAgAAAAAHIWABAAAAgIMQsAAAAADAQQhYAAAAAOAgBCwAAAAAcBACFgAAAAA4CAELAIA/rV69WjabTTabTX369KnSY+3du7f0sS644AKH1AcAcH/VrC4AAAB3s2vXLkVFRVXpMeLj45Wenq6nnnpKn376qYMqAwC4O0awAAD4h6ioKNWqVatKj+Hv76+YmBjVrFnTMUUBADwCAQsA4NUWLlyo5s2bKzg4WHXq1FHnzp119OjRCj1Ghw4dNGrUKCUlJal27dqKjo7WrFmzdPToUd10000KDQ3VmWeeqWXLljnppwAAeAoCFgDAa6Wnp+u6667TzTffrO+//16rV69Wv379ZLfbK/xYc+bMUWRkpL766iuNGjVKd9xxh/r37682bdrom2++Ubdu3TTo/9u7Y5XIoSgMwH8YVITBRlELRZtBRhjnASwFwVawsLC08Q0EEWzsBMHSh7BUEEHsphJ8AUUQQRHBQpvB3U7Y3Wo1izvh+6rkFIdzy//mJllby+vr6z9YCQC9QsACoLLu7+/T7XazvLyc6enptFqtbGxsfOrYXrvdztbWVhqNRjY3NzM4OJiRkZGsr6+n0Whke3s7T09Pubq6+gcrAaBXCFgAVFa73c7CwkJarVZWVlZyeHiY5+fnT/Wam5v7uK7VahkeHk6r1fqojY2NJUkeHh6+NjQAPU3AAqCyarVaTk9Pc3x8nNnZ2RwcHGRmZibX19d/3auvr++X+6IofqkVRZEkeX9//9rQAPQ0AQuASiuKIvPz89nZ2cnl5WX6+/tzdHT03WMBUFH+gwVAZXU6nZydnWVxcTGjo6PpdDp5fHxMs9n87tEAqCgBC4DKGhoaysXFRfb39/Py8pKpqans7e1laWnpu0cDoKIELAAqq9ls5uTk5Mt9zs/P/6jd3Nz8UfvM598BqBbvYAHAbyYmJrK6uvqlHre3t6nX69nd3S1pKgB6QfHDdhsAJEne3t5yd3eXJKnX6xkfH/90r263+/GUa2BgIJOTk2WMCMB/TsACAAAoiSOCAAAAJRGwAAAASiJgAQAAlETAAgAAKImABQAAUBIBCwAAoCQCFgAAQEkELAAAgJIIWAAAACX5CaxgYu9Q6je1AAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(10, 8))\n", "ax1 = plt.subplot(211)\n", "# ax1.plot(self.csr_traj[0, :], self.csr_traj[0, :] -self.csr_traj[3, :], \"r\", label=\"X\")\n", "ax1.plot(csr.csr_traj[0, :], csr.csr_traj[1, :] * 1000, \"r\", label=\"X\")\n", "ax1.plot(csr.csr_traj[0, :], csr.csr_traj[2, :] * 1000, \"b\", label=\"Y\")\n", "plt.legend()\n", "plt.ylabel(\"X/Y [mm]\")\n", "plt.setp(ax1.get_xticklabels(), visible=False)\n", "ax3 = plt.subplot(212, sharex=ax1)\n", "ax3.plot(csr.csr_traj[0, :], csr.csr_traj[1 + 3, :] * 1000, \"r\", label=r\"$X'$\")\n", "ax3.plot(csr.csr_traj[0, :], csr.csr_traj[2 + 3, :] * 1000, \"b\", label=r\"$Y'$\")\n", "plt.legend()\n", "plt.ylabel(r\"$X'/Y'$ [mrad]\")\n", "plt.xlabel(\"s [m]\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.10.15" } }, "nbformat": 4, "nbformat_minor": 4 }