From b1e5bfa2ad208b63088e305c4179f1f270322a11 Mon Sep 17 00:00:00 2001 From: MauroMendizabal Date: Thu, 23 Jan 2025 15:54:22 +0100 Subject: [PATCH 1/3] notebook --- .../examples/emu_sv_getting_started.ipynb | 645 ++++++++++++++++++ 1 file changed, 645 insertions(+) create mode 100644 examples/emu_sv_examples/examples/emu_sv_getting_started.ipynb diff --git a/examples/emu_sv_examples/examples/emu_sv_getting_started.ipynb b/examples/emu_sv_examples/examples/emu_sv_getting_started.ipynb new file mode 100644 index 0000000..77e8b55 --- /dev/null +++ b/examples/emu_sv_examples/examples/emu_sv_getting_started.ipynb @@ -0,0 +1,645 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Getting started with Emu-SV\n", + "\n", + "In this tutorial, we will explore how to simulate a quench sequence using EMU-SV as the backend for Pulser. EMU-SV is a state vector emulator tailored for efficiently simulating the dynamics of the Rydberg Hamiltonian, offering both speed and precision for quantum system simulations.\n", + "\n", + "Our primary objective will be to study the evolution of the $\\sigma _z$ operator. However, we will utilize the number operator $n_i$, also referred to as the qubit density operator, for practical calculations. By carefully adjusting the detuning, we can account for and effectively compensate for additional terms in the Hamiltonian, simplifying the analysis.\n", + "\n", + "This tutorial will take you step by step through the process of setting up the simulation, running it with EMU-SV, and interpreting the results to better understand the system's behavior during the quench sequence.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from dataclasses import replace\n", + "\n", + "#pulser imports\n", + "from pulser.devices import AnalogDevice\n", + "from pulser import Sequence, Register, Pulse\n", + "from pulser.channels import Rydberg\n", + "\n", + "#emulators imports\n", + "from emu_base import QubitDensity\n", + "import emu_sv" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "# define the register arregement function and the device for the quench\n", + "def chain_coordinates(N,R1,R2):\n", + " \"\"\"Generate the coordinates of a chain of points arranged in two parallel \n", + " lines.\"\"\"\n", + " coords = [(-R2/2,i*R1-(N-1)/2*R1) for i in range(N)]\n", + " coords = coords + [(R2/2,i*R1-(N-1)/2*R1) for i in range(N)]\n", + " return coords\n", + "\n", + "\n", + "# device settings\n", + "VD = AnalogDevice.to_virtual()\n", + "VD = replace(\n", + " VD, \n", + " max_atom_num=50,\n", + " max_radial_distance=38,\n", + " max_sequence_duration=None,\n", + " channel_objects=(\n", + " Rydberg.Global(48.69468613064179, 12.566370614359172),\n", + " ))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The registers will be arranged in two parallel lines, each containing $N$ atoms, as generated by the function `chain_coordinates`. The atoms will be vertically separated by $R_1$ and horizontally by $R_2$ . The $U_i$ terms represent the interaction energies between pairs of atoms at various distances. For instance, $U_1$ represents the interaction energy between nearest neighbors along the same line, separated by a distance $R_1$. $U_2$ is the interaction energy between atoms across the two parallel lines, separated by the horizontal distance $R_2$, and so on." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Parameters for the system\n", + "N = 10 # number of atoms in a line\n", + "R1 = 7.5 # vertical distance between atoms in a single chain\n", + "lam = 1\n", + "R2 = R1/(lam**(1/6)) # # Horizontal distance between the two parallel chains of atoms\n", + "\n", + "U1 = VD.interaction_coeff/R1**6 #interaction with nearest neighbors in the same line\n", + "U2 = VD.interaction_coeff/R2**6 #interacion between atoms across two paralell lines\n", + "U3 = VD.interaction_coeff/(np.sqrt(R1**2+R2**2))**6 # interaction between diagonal neighbors\n", + "U4 = VD.interaction_coeff/(2*R1)**6 # second-nearest neighbors interaction in the same line\n", + "U5 = VD.interaction_coeff/(np.sqrt(4*R1**2+R2**2))**6 # second-nearest interaction across lines\n", + "\n", + "coords_exact = chain_coordinates(N,R1,R2) # generate the coordinates of the atoms\n", + "\n", + "hx = 1 \n", + "hz = 0 \n", + "\n", + "t = 4000 # duration of the sequence\n", + "dt = 10 # time step\n", + "\n", + "NN_coeff = U1/4\n", + "omega = 2*hx*NN_coeff\n", + "delta = (-2*hz*NN_coeff+U1+U2/2+U3+U4+U5) #compensate the interaction shift\n", + "T = t/1000*NN_coeff\n", + "dT = dt/1000*NN_coeff\n", + "\n", + "\n", + "# pulser register\n", + "qubits = dict(enumerate(coords_exact))\n", + "reg0 = Register(qubits)\n", + "reg0.draw()\n", + "\n", + "#pulser sequence\n", + "seq = Sequence(reg0, VD)\n", + "seq.declare_channel(\"rydberg\", \"rydberg_global\")\n", + "simple_pulse = Pulse.ConstantPulse(t, omega, delta, 0)\n", + "seq.add(simple_pulse, \"rydberg\")\n", + "seq.draw()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### SVBackend, SVConfig and operators \n", + "\n", + "In order to run a sequence, you need to instanciate *SVBackend* and *SVConfig*. This goes in a similar way of __EMU_MPS__. " + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "step = 1/400, RSS = 819.108 MB, Δt = 0.336 s\n", + "step = 2/400, RSS = 868.164 MB, Δt = 0.328 s\n", + "step = 3/400, RSS = 868.164 MB, Δt = 0.351 s\n", + "step = 4/400, RSS = 884.564 MB, Δt = 0.314 s\n", + "step = 5/400, RSS = 884.564 MB, Δt = 0.327 s\n", + "step = 6/400, RSS = 884.564 MB, Δt = 0.321 s\n", + "step = 7/400, RSS = 884.564 MB, Δt = 0.345 s\n", + "step = 8/400, RSS = 884.564 MB, Δt = 0.342 s\n", + "step = 9/400, RSS = 884.564 MB, Δt = 0.373 s\n", + "step = 10/400, RSS = 884.564 MB, Δt = 0.356 s\n", + "step = 11/400, RSS = 884.564 MB, Δt = 0.352 s\n", + "step = 12/400, RSS = 884.564 MB, Δt = 0.359 s\n", + "step = 13/400, RSS = 884.564 MB, Δt = 0.351 s\n", + "step = 14/400, RSS = 884.564 MB, Δt = 0.318 s\n", + "step = 15/400, RSS = 884.564 MB, Δt = 0.326 s\n", + "step = 16/400, RSS = 884.564 MB, Δt = 0.328 s\n", + "step = 17/400, RSS = 884.564 MB, Δt = 0.316 s\n", + "step = 18/400, RSS = 884.564 MB, Δt = 0.298 s\n", + "step = 19/400, RSS = 884.564 MB, Δt = 0.281 s\n", + "step = 20/400, RSS = 884.564 MB, Δt = 0.273 s\n", + "step = 21/400, RSS = 884.564 MB, Δt = 0.309 s\n", + "step = 22/400, RSS = 884.564 MB, Δt = 0.296 s\n", + "step = 23/400, RSS = 884.564 MB, Δt = 0.299 s\n", + "step = 24/400, RSS = 884.564 MB, Δt = 0.305 s\n", + "step = 25/400, RSS = 884.564 MB, Δt = 0.314 s\n", + "step = 26/400, RSS = 884.564 MB, Δt = 0.296 s\n", + "step = 27/400, RSS = 884.564 MB, Δt = 0.300 s\n", + "step = 28/400, RSS = 884.564 MB, Δt = 0.298 s\n", + "step = 29/400, RSS = 884.564 MB, Δt = 0.327 s\n", + "step = 30/400, RSS = 884.564 MB, Δt = 0.310 s\n", + "step = 31/400, RSS = 884.564 MB, Δt = 0.307 s\n", + "step = 32/400, RSS = 884.564 MB, Δt = 0.287 s\n", + "step = 33/400, RSS = 884.564 MB, Δt = 0.301 s\n", + "step = 34/400, RSS = 884.564 MB, Δt = 0.279 s\n", + "step = 35/400, RSS = 884.564 MB, Δt = 0.287 s\n", + "step = 36/400, RSS = 884.564 MB, Δt = 0.310 s\n", + "step = 37/400, RSS = 884.564 MB, Δt = 0.288 s\n", + "step = 38/400, RSS = 884.564 MB, Δt = 0.281 s\n", + "step = 39/400, RSS = 884.564 MB, Δt = 0.275 s\n", + "step = 40/400, RSS = 884.564 MB, Δt = 0.293 s\n", + "step = 41/400, RSS = 884.564 MB, Δt = 0.295 s\n", + "step = 42/400, RSS = 884.564 MB, Δt = 0.286 s\n", + "step = 43/400, RSS = 884.564 MB, Δt = 0.277 s\n", + "step = 44/400, RSS = 884.564 MB, Δt = 0.275 s\n", + "step = 45/400, RSS = 884.564 MB, Δt = 0.326 s\n", + "step = 46/400, RSS = 884.564 MB, Δt = 0.290 s\n", + "step = 47/400, RSS = 884.564 MB, Δt = 0.286 s\n", + "step = 48/400, RSS = 884.564 MB, Δt = 0.293 s\n", + "step = 49/400, RSS = 884.648 MB, Δt = 0.303 s\n", + "step = 50/400, RSS = 884.648 MB, Δt = 0.287 s\n", + "step = 51/400, RSS = 884.648 MB, Δt = 0.286 s\n", + "step = 52/400, RSS = 884.648 MB, Δt = 0.289 s\n", + "step = 53/400, RSS = 884.648 MB, Δt = 0.303 s\n", + "step = 54/400, RSS = 884.648 MB, Δt = 0.294 s\n", + "step = 55/400, RSS = 884.648 MB, Δt = 0.288 s\n", + "step = 56/400, RSS = 884.648 MB, Δt = 0.296 s\n", + "step = 57/400, RSS = 884.648 MB, Δt = 0.308 s\n", + "step = 58/400, RSS = 884.648 MB, Δt = 0.290 s\n", + "step = 59/400, RSS = 884.648 MB, Δt = 0.288 s\n", + "step = 60/400, RSS = 884.648 MB, Δt = 0.283 s\n", + "step = 61/400, RSS = 884.648 MB, Δt = 0.307 s\n", + "step = 62/400, RSS = 884.648 MB, Δt = 0.287 s\n", + "step = 63/400, RSS = 884.648 MB, Δt = 0.284 s\n", + "step = 64/400, RSS = 884.648 MB, Δt = 0.310 s\n", + "step = 65/400, RSS = 884.648 MB, Δt = 0.330 s\n", + "step = 66/400, RSS = 884.648 MB, Δt = 0.311 s\n", + "step = 67/400, RSS = 884.648 MB, Δt = 0.315 s\n", + "step = 68/400, RSS = 884.648 MB, Δt = 0.326 s\n", + "step = 69/400, RSS = 884.648 MB, Δt = 0.355 s\n", + "step = 70/400, RSS = 884.648 MB, Δt = 0.334 s\n", + "step = 71/400, RSS = 884.648 MB, Δt = 0.341 s\n", + "step = 72/400, RSS = 884.648 MB, Δt = 0.338 s\n", + "step = 73/400, RSS = 884.648 MB, Δt = 0.352 s\n", + "step = 74/400, RSS = 884.648 MB, Δt = 0.314 s\n", + "step = 75/400, RSS = 884.648 MB, Δt = 0.305 s\n", + "step = 76/400, RSS = 884.664 MB, Δt = 0.312 s\n", + "step = 77/400, RSS = 884.664 MB, Δt = 0.322 s\n", + "step = 78/400, RSS = 884.664 MB, Δt = 0.318 s\n", + "step = 79/400, RSS = 884.664 MB, Δt = 0.312 s\n", + "step = 80/400, RSS = 884.664 MB, Δt = 0.325 s\n", + "step = 81/400, RSS = 884.664 MB, Δt = 0.356 s\n", + "step = 82/400, RSS = 884.664 MB, Δt = 0.354 s\n", + "step = 83/400, RSS = 884.664 MB, Δt = 0.338 s\n", + "step = 84/400, RSS = 884.664 MB, Δt = 0.349 s\n", + "step = 85/400, RSS = 884.664 MB, Δt = 0.359 s\n", + "step = 86/400, RSS = 884.664 MB, Δt = 0.331 s\n", + "step = 87/400, RSS = 884.664 MB, Δt = 0.345 s\n", + "step = 88/400, RSS = 884.664 MB, Δt = 0.342 s\n", + "step = 89/400, RSS = 884.664 MB, Δt = 0.362 s\n", + "step = 90/400, RSS = 884.664 MB, Δt = 0.318 s\n", + "step = 91/400, RSS = 884.664 MB, Δt = 0.301 s\n", + "step = 92/400, RSS = 884.664 MB, Δt = 0.324 s\n", + "step = 93/400, RSS = 884.664 MB, Δt = 0.336 s\n", + "step = 94/400, RSS = 884.664 MB, Δt = 0.291 s\n", + "step = 95/400, RSS = 884.664 MB, Δt = 0.289 s\n", + "step = 96/400, RSS = 884.664 MB, Δt = 0.319 s\n", + "step = 97/400, RSS = 884.664 MB, Δt = 0.333 s\n", + "step = 98/400, RSS = 884.664 MB, Δt = 0.313 s\n", + "step = 99/400, RSS = 884.664 MB, Δt = 0.342 s\n", + "step = 100/400, RSS = 884.664 MB, Δt = 0.357 s\n", + "step = 101/400, RSS = 884.664 MB, Δt = 0.396 s\n", + "step = 102/400, RSS = 884.664 MB, Δt = 0.368 s\n", + "step = 103/400, RSS = 884.664 MB, Δt = 0.345 s\n", + "step = 104/400, RSS = 884.664 MB, Δt = 0.342 s\n", + "step = 105/400, RSS = 884.664 MB, Δt = 0.359 s\n", + "step = 106/400, RSS = 884.664 MB, Δt = 0.333 s\n", + "step = 107/400, RSS = 884.664 MB, Δt = 0.374 s\n", + "step = 108/400, RSS = 884.664 MB, Δt = 0.348 s\n", + "step = 109/400, RSS = 884.664 MB, Δt = 0.356 s\n", + "step = 110/400, RSS = 884.664 MB, Δt = 0.339 s\n", + "step = 111/400, RSS = 884.664 MB, Δt = 0.345 s\n", + "step = 112/400, RSS = 884.664 MB, Δt = 0.338 s\n", + "step = 113/400, RSS = 884.664 MB, Δt = 0.362 s\n", + "step = 114/400, RSS = 884.664 MB, Δt = 0.341 s\n", + "step = 115/400, RSS = 884.664 MB, Δt = 0.339 s\n", + "step = 116/400, RSS = 884.664 MB, Δt = 0.335 s\n", + "step = 117/400, RSS = 884.664 MB, Δt = 0.359 s\n", + "step = 118/400, RSS = 884.664 MB, Δt = 0.305 s\n", + "step = 119/400, RSS = 884.664 MB, Δt = 0.312 s\n", + "step = 120/400, RSS = 884.664 MB, Δt = 0.318 s\n", + "step = 121/400, RSS = 884.664 MB, Δt = 0.326 s\n", + "step = 122/400, RSS = 884.664 MB, Δt = 0.309 s\n", + "step = 123/400, RSS = 884.664 MB, Δt = 0.312 s\n", + "step = 124/400, RSS = 884.728 MB, Δt = 0.309 s\n", + "step = 125/400, RSS = 884.728 MB, Δt = 0.333 s\n", + "step = 126/400, RSS = 884.728 MB, Δt = 0.317 s\n", + "step = 127/400, RSS = 884.728 MB, Δt = 0.325 s\n", + "step = 128/400, RSS = 884.728 MB, Δt = 0.343 s\n", + "step = 129/400, RSS = 884.728 MB, Δt = 0.386 s\n", + "step = 130/400, RSS = 884.728 MB, Δt = 0.352 s\n", + "step = 131/400, RSS = 884.728 MB, Δt = 0.337 s\n", + "step = 132/400, RSS = 884.728 MB, Δt = 0.327 s\n", + "step = 133/400, RSS = 884.728 MB, Δt = 0.335 s\n", + "step = 134/400, RSS = 884.728 MB, Δt = 0.324 s\n", + "step = 135/400, RSS = 884.728 MB, Δt = 0.335 s\n", + "step = 136/400, RSS = 884.728 MB, Δt = 0.280 s\n", + "step = 137/400, RSS = 884.728 MB, Δt = 0.316 s\n", + "step = 138/400, RSS = 884.728 MB, Δt = 0.306 s\n", + "step = 139/400, RSS = 884.856 MB, Δt = 0.293 s\n", + "step = 140/400, RSS = 884.856 MB, Δt = 0.316 s\n", + "step = 141/400, RSS = 884.856 MB, Δt = 0.342 s\n", + "step = 142/400, RSS = 884.856 MB, Δt = 0.330 s\n", + "step = 143/400, RSS = 884.856 MB, Δt = 0.314 s\n", + "step = 144/400, RSS = 884.856 MB, Δt = 0.323 s\n", + "step = 145/400, RSS = 884.856 MB, Δt = 0.347 s\n", + "step = 146/400, RSS = 884.856 MB, Δt = 0.328 s\n", + "step = 147/400, RSS = 884.856 MB, Δt = 0.317 s\n", + "step = 148/400, RSS = 884.856 MB, Δt = 0.322 s\n", + "step = 149/400, RSS = 884.856 MB, Δt = 0.338 s\n", + "step = 150/400, RSS = 884.856 MB, Δt = 0.326 s\n", + "step = 151/400, RSS = 884.856 MB, Δt = 0.339 s\n", + "step = 152/400, RSS = 884.856 MB, Δt = 0.324 s\n", + "step = 153/400, RSS = 884.856 MB, Δt = 0.347 s\n", + "step = 154/400, RSS = 884.856 MB, Δt = 0.339 s\n", + "step = 155/400, RSS = 884.856 MB, Δt = 0.326 s\n", + "step = 156/400, RSS = 884.856 MB, Δt = 0.325 s\n", + "step = 157/400, RSS = 884.856 MB, Δt = 0.357 s\n", + "step = 158/400, RSS = 884.856 MB, Δt = 0.336 s\n", + "step = 159/400, RSS = 884.856 MB, Δt = 0.309 s\n", + "step = 160/400, RSS = 884.856 MB, Δt = 0.327 s\n", + "step = 161/400, RSS = 884.856 MB, Δt = 0.334 s\n", + "step = 162/400, RSS = 884.856 MB, Δt = 0.339 s\n", + "step = 163/400, RSS = 884.856 MB, Δt = 0.347 s\n", + "step = 164/400, RSS = 884.856 MB, Δt = 0.339 s\n", + "step = 165/400, RSS = 884.856 MB, Δt = 0.347 s\n", + "step = 166/400, RSS = 884.856 MB, Δt = 0.328 s\n", + "step = 167/400, RSS = 884.856 MB, Δt = 0.320 s\n", + "step = 168/400, RSS = 884.856 MB, Δt = 0.346 s\n", + "step = 169/400, RSS = 884.856 MB, Δt = 0.366 s\n", + "step = 170/400, RSS = 884.856 MB, Δt = 0.349 s\n", + "step = 171/400, RSS = 884.856 MB, Δt = 0.345 s\n", + "step = 172/400, RSS = 884.856 MB, Δt = 0.320 s\n", + "step = 173/400, RSS = 884.856 MB, Δt = 0.332 s\n", + "step = 174/400, RSS = 884.856 MB, Δt = 0.318 s\n", + "step = 175/400, RSS = 884.856 MB, Δt = 0.316 s\n", + "step = 176/400, RSS = 884.856 MB, Δt = 0.311 s\n", + "step = 177/400, RSS = 884.856 MB, Δt = 0.337 s\n", + "step = 178/400, RSS = 884.856 MB, Δt = 0.285 s\n", + "step = 179/400, RSS = 884.856 MB, Δt = 0.296 s\n", + "step = 180/400, RSS = 884.856 MB, Δt = 0.317 s\n", + "step = 181/400, RSS = 884.856 MB, Δt = 0.332 s\n", + "step = 182/400, RSS = 884.856 MB, Δt = 0.352 s\n", + "step = 183/400, RSS = 884.856 MB, Δt = 0.321 s\n", + "step = 184/400, RSS = 884.856 MB, Δt = 0.312 s\n", + "step = 185/400, RSS = 884.856 MB, Δt = 0.336 s\n", + "step = 186/400, RSS = 884.856 MB, Δt = 0.320 s\n", + "step = 187/400, RSS = 884.856 MB, Δt = 0.314 s\n", + "step = 188/400, RSS = 884.856 MB, Δt = 0.332 s\n", + "step = 189/400, RSS = 884.856 MB, Δt = 0.354 s\n", + "step = 190/400, RSS = 884.856 MB, Δt = 0.317 s\n", + "step = 191/400, RSS = 884.856 MB, Δt = 0.324 s\n", + "step = 192/400, RSS = 884.856 MB, Δt = 0.325 s\n", + "step = 193/400, RSS = 884.856 MB, Δt = 0.338 s\n", + "step = 194/400, RSS = 884.856 MB, Δt = 0.293 s\n", + "step = 195/400, RSS = 884.856 MB, Δt = 0.333 s\n", + "step = 196/400, RSS = 884.856 MB, Δt = 0.318 s\n", + "step = 197/400, RSS = 884.856 MB, Δt = 0.338 s\n", + "step = 198/400, RSS = 884.856 MB, Δt = 0.325 s\n", + "step = 199/400, RSS = 884.856 MB, Δt = 0.315 s\n", + "step = 200/400, RSS = 884.856 MB, Δt = 0.312 s\n", + "step = 201/400, RSS = 884.856 MB, Δt = 0.340 s\n", + "step = 202/400, RSS = 884.856 MB, Δt = 0.313 s\n", + "step = 203/400, RSS = 884.856 MB, Δt = 0.286 s\n", + "step = 204/400, RSS = 884.856 MB, Δt = 0.348 s\n", + "step = 205/400, RSS = 884.856 MB, Δt = 0.343 s\n", + "step = 206/400, RSS = 884.856 MB, Δt = 0.300 s\n", + "step = 207/400, RSS = 884.856 MB, Δt = 0.311 s\n", + "step = 208/400, RSS = 884.856 MB, Δt = 0.311 s\n", + "step = 209/400, RSS = 884.856 MB, Δt = 0.335 s\n", + "step = 210/400, RSS = 884.856 MB, Δt = 0.307 s\n", + "step = 211/400, RSS = 884.856 MB, Δt = 0.312 s\n", + "step = 212/400, RSS = 884.856 MB, Δt = 0.312 s\n", + "step = 213/400, RSS = 884.856 MB, Δt = 0.333 s\n", + "step = 214/400, RSS = 884.856 MB, Δt = 0.316 s\n", + "step = 215/400, RSS = 884.856 MB, Δt = 0.318 s\n", + "step = 216/400, RSS = 884.856 MB, Δt = 0.313 s\n", + "step = 217/400, RSS = 884.856 MB, Δt = 0.388 s\n", + "step = 218/400, RSS = 884.856 MB, Δt = 0.325 s\n", + "step = 219/400, RSS = 884.856 MB, Δt = 0.316 s\n", + "step = 220/400, RSS = 884.856 MB, Δt = 0.323 s\n", + "step = 221/400, RSS = 884.856 MB, Δt = 0.333 s\n", + "step = 222/400, RSS = 884.856 MB, Δt = 0.319 s\n", + "step = 223/400, RSS = 884.856 MB, Δt = 0.320 s\n", + "step = 224/400, RSS = 884.856 MB, Δt = 0.314 s\n", + "step = 225/400, RSS = 884.856 MB, Δt = 0.333 s\n", + "step = 226/400, RSS = 884.856 MB, Δt = 0.327 s\n", + "step = 227/400, RSS = 884.856 MB, Δt = 0.318 s\n", + "step = 228/400, RSS = 884.856 MB, Δt = 0.317 s\n", + "step = 229/400, RSS = 884.856 MB, Δt = 0.332 s\n", + "step = 230/400, RSS = 884.856 MB, Δt = 0.282 s\n", + "step = 231/400, RSS = 884.856 MB, Δt = 0.281 s\n", + "step = 232/400, RSS = 884.856 MB, Δt = 0.286 s\n", + "step = 233/400, RSS = 884.856 MB, Δt = 0.312 s\n", + "step = 234/400, RSS = 884.856 MB, Δt = 0.291 s\n", + "step = 235/400, RSS = 884.856 MB, Δt = 0.294 s\n", + "step = 236/400, RSS = 884.856 MB, Δt = 0.294 s\n", + "step = 237/400, RSS = 884.856 MB, Δt = 0.335 s\n", + "step = 238/400, RSS = 884.856 MB, Δt = 0.319 s\n", + "step = 239/400, RSS = 884.856 MB, Δt = 0.327 s\n", + "step = 240/400, RSS = 884.856 MB, Δt = 0.333 s\n", + "step = 241/400, RSS = 884.856 MB, Δt = 0.335 s\n", + "step = 242/400, RSS = 884.856 MB, Δt = 0.316 s\n", + "step = 243/400, RSS = 884.856 MB, Δt = 0.310 s\n", + "step = 244/400, RSS = 884.856 MB, Δt = 0.310 s\n", + "step = 245/400, RSS = 884.856 MB, Δt = 0.338 s\n", + "step = 246/400, RSS = 884.856 MB, Δt = 0.317 s\n", + "step = 247/400, RSS = 884.856 MB, Δt = 0.314 s\n", + "step = 248/400, RSS = 884.856 MB, Δt = 0.317 s\n", + "step = 249/400, RSS = 884.856 MB, Δt = 0.338 s\n", + "step = 250/400, RSS = 884.856 MB, Δt = 0.315 s\n", + "step = 251/400, RSS = 884.856 MB, Δt = 0.315 s\n", + "step = 252/400, RSS = 884.856 MB, Δt = 0.323 s\n", + "step = 253/400, RSS = 884.856 MB, Δt = 0.333 s\n", + "step = 254/400, RSS = 884.856 MB, Δt = 0.318 s\n", + "step = 255/400, RSS = 884.856 MB, Δt = 0.321 s\n", + "step = 256/400, RSS = 884.856 MB, Δt = 0.315 s\n", + "step = 257/400, RSS = 884.856 MB, Δt = 0.337 s\n", + "step = 258/400, RSS = 884.856 MB, Δt = 0.330 s\n", + "step = 259/400, RSS = 884.856 MB, Δt = 0.331 s\n", + "step = 260/400, RSS = 884.856 MB, Δt = 0.322 s\n", + "step = 261/400, RSS = 884.856 MB, Δt = 0.335 s\n", + "step = 262/400, RSS = 884.856 MB, Δt = 0.313 s\n", + "step = 263/400, RSS = 884.856 MB, Δt = 0.309 s\n", + "step = 264/400, RSS = 884.856 MB, Δt = 0.315 s\n", + "step = 265/400, RSS = 884.856 MB, Δt = 0.328 s\n", + "step = 266/400, RSS = 884.856 MB, Δt = 0.288 s\n", + "step = 267/400, RSS = 884.856 MB, Δt = 0.310 s\n", + "step = 268/400, RSS = 884.856 MB, Δt = 0.323 s\n", + "step = 269/400, RSS = 884.856 MB, Δt = 0.333 s\n", + "step = 270/400, RSS = 884.856 MB, Δt = 0.292 s\n", + "step = 271/400, RSS = 884.856 MB, Δt = 0.293 s\n", + "step = 272/400, RSS = 884.856 MB, Δt = 0.308 s\n", + "step = 273/400, RSS = 884.856 MB, Δt = 0.349 s\n", + "step = 274/400, RSS = 884.856 MB, Δt = 0.317 s\n", + "step = 275/400, RSS = 884.856 MB, Δt = 0.306 s\n", + "step = 276/400, RSS = 884.856 MB, Δt = 0.317 s\n", + "step = 277/400, RSS = 884.856 MB, Δt = 0.335 s\n", + "step = 278/400, RSS = 884.856 MB, Δt = 0.317 s\n", + "step = 279/400, RSS = 884.856 MB, Δt = 0.316 s\n", + "step = 280/400, RSS = 884.856 MB, Δt = 0.319 s\n", + "step = 281/400, RSS = 884.856 MB, Δt = 0.333 s\n", + "step = 282/400, RSS = 884.856 MB, Δt = 0.309 s\n", + "step = 283/400, RSS = 884.856 MB, Δt = 0.313 s\n", + "step = 284/400, RSS = 884.856 MB, Δt = 0.320 s\n", + "step = 285/400, RSS = 884.856 MB, Δt = 0.339 s\n", + "step = 286/400, RSS = 884.856 MB, Δt = 0.321 s\n", + "step = 287/400, RSS = 884.856 MB, Δt = 0.319 s\n", + "step = 288/400, RSS = 884.856 MB, Δt = 0.323 s\n", + "step = 289/400, RSS = 884.856 MB, Δt = 0.337 s\n", + "step = 290/400, RSS = 884.856 MB, Δt = 0.349 s\n", + "step = 291/400, RSS = 884.856 MB, Δt = 0.321 s\n", + "step = 292/400, RSS = 884.856 MB, Δt = 0.325 s\n", + "step = 293/400, RSS = 884.856 MB, Δt = 0.337 s\n", + "step = 294/400, RSS = 884.856 MB, Δt = 0.328 s\n", + "step = 295/400, RSS = 884.856 MB, Δt = 0.319 s\n", + "step = 296/400, RSS = 884.856 MB, Δt = 0.328 s\n", + "step = 297/400, RSS = 884.856 MB, Δt = 0.337 s\n", + "step = 298/400, RSS = 884.856 MB, Δt = 0.320 s\n", + "step = 299/400, RSS = 884.856 MB, Δt = 0.318 s\n", + "step = 300/400, RSS = 884.856 MB, Δt = 0.319 s\n", + "step = 301/400, RSS = 884.856 MB, Δt = 0.337 s\n", + "step = 302/400, RSS = 884.856 MB, Δt = 0.322 s\n", + "step = 303/400, RSS = 884.856 MB, Δt = 0.289 s\n", + "step = 304/400, RSS = 884.856 MB, Δt = 0.293 s\n", + "step = 305/400, RSS = 884.856 MB, Δt = 0.303 s\n", + "step = 306/400, RSS = 884.856 MB, Δt = 0.324 s\n", + "step = 307/400, RSS = 884.856 MB, Δt = 0.322 s\n", + "step = 308/400, RSS = 884.856 MB, Δt = 0.319 s\n", + "step = 309/400, RSS = 884.856 MB, Δt = 0.335 s\n", + "step = 310/400, RSS = 884.856 MB, Δt = 0.339 s\n", + "step = 311/400, RSS = 884.856 MB, Δt = 0.310 s\n", + "step = 312/400, RSS = 884.856 MB, Δt = 0.321 s\n", + "step = 313/400, RSS = 884.856 MB, Δt = 0.336 s\n", + "step = 314/400, RSS = 884.856 MB, Δt = 0.324 s\n", + "step = 315/400, RSS = 884.856 MB, Δt = 0.319 s\n", + "step = 316/400, RSS = 884.856 MB, Δt = 0.311 s\n", + "step = 317/400, RSS = 884.856 MB, Δt = 0.319 s\n", + "step = 318/400, RSS = 884.856 MB, Δt = 0.315 s\n", + "step = 319/400, RSS = 884.856 MB, Δt = 0.321 s\n", + "step = 320/400, RSS = 884.856 MB, Δt = 0.318 s\n", + "step = 321/400, RSS = 884.856 MB, Δt = 0.338 s\n", + "step = 322/400, RSS = 884.856 MB, Δt = 0.315 s\n", + "step = 323/400, RSS = 884.856 MB, Δt = 0.311 s\n", + "step = 324/400, RSS = 884.856 MB, Δt = 0.307 s\n", + "step = 325/400, RSS = 884.856 MB, Δt = 0.327 s\n", + "step = 326/400, RSS = 884.856 MB, Δt = 0.309 s\n", + "step = 327/400, RSS = 884.856 MB, Δt = 0.309 s\n", + "step = 328/400, RSS = 884.856 MB, Δt = 0.312 s\n", + "step = 329/400, RSS = 884.856 MB, Δt = 0.329 s\n", + "step = 330/400, RSS = 884.856 MB, Δt = 0.311 s\n", + "step = 331/400, RSS = 884.856 MB, Δt = 0.306 s\n", + "step = 332/400, RSS = 884.856 MB, Δt = 0.311 s\n", + "step = 333/400, RSS = 884.856 MB, Δt = 0.328 s\n", + "step = 334/400, RSS = 884.856 MB, Δt = 0.325 s\n", + "step = 335/400, RSS = 884.856 MB, Δt = 0.316 s\n", + "step = 336/400, RSS = 884.856 MB, Δt = 0.318 s\n", + "step = 337/400, RSS = 884.856 MB, Δt = 0.334 s\n", + "step = 338/400, RSS = 884.856 MB, Δt = 0.312 s\n", + "step = 339/400, RSS = 884.856 MB, Δt = 0.318 s\n", + "step = 340/400, RSS = 884.856 MB, Δt = 0.315 s\n", + "step = 341/400, RSS = 884.856 MB, Δt = 0.326 s\n", + "step = 342/400, RSS = 884.856 MB, Δt = 0.306 s\n", + "step = 343/400, RSS = 884.856 MB, Δt = 0.304 s\n", + "step = 344/400, RSS = 884.856 MB, Δt = 0.312 s\n", + "step = 345/400, RSS = 884.856 MB, Δt = 0.334 s\n", + "step = 346/400, RSS = 884.856 MB, Δt = 0.303 s\n", + "step = 347/400, RSS = 884.856 MB, Δt = 0.308 s\n", + "step = 348/400, RSS = 884.856 MB, Δt = 0.305 s\n", + "step = 349/400, RSS = 884.856 MB, Δt = 0.324 s\n", + "step = 350/400, RSS = 884.856 MB, Δt = 0.306 s\n", + "step = 351/400, RSS = 884.856 MB, Δt = 0.310 s\n", + "step = 352/400, RSS = 884.856 MB, Δt = 0.309 s\n", + "step = 353/400, RSS = 884.856 MB, Δt = 0.331 s\n", + "step = 354/400, RSS = 884.856 MB, Δt = 0.312 s\n", + "step = 355/400, RSS = 884.856 MB, Δt = 0.283 s\n", + "step = 356/400, RSS = 884.856 MB, Δt = 0.279 s\n", + "step = 357/400, RSS = 884.856 MB, Δt = 0.304 s\n", + "step = 358/400, RSS = 884.928 MB, Δt = 0.292 s\n", + "step = 359/400, RSS = 884.928 MB, Δt = 0.278 s\n", + "step = 360/400, RSS = 884.928 MB, Δt = 0.279 s\n", + "step = 361/400, RSS = 884.928 MB, Δt = 0.310 s\n", + "step = 362/400, RSS = 884.928 MB, Δt = 0.287 s\n", + "step = 363/400, RSS = 884.928 MB, Δt = 0.313 s\n", + "step = 364/400, RSS = 884.928 MB, Δt = 0.302 s\n", + "step = 365/400, RSS = 884.928 MB, Δt = 0.331 s\n", + "step = 366/400, RSS = 884.928 MB, Δt = 0.312 s\n", + "step = 367/400, RSS = 884.928 MB, Δt = 0.307 s\n", + "step = 368/400, RSS = 884.928 MB, Δt = 0.305 s\n", + "step = 369/400, RSS = 884.928 MB, Δt = 0.321 s\n", + "step = 370/400, RSS = 884.928 MB, Δt = 0.301 s\n", + "step = 371/400, RSS = 884.928 MB, Δt = 0.306 s\n", + "step = 372/400, RSS = 884.928 MB, Δt = 0.304 s\n", + "step = 373/400, RSS = 884.928 MB, Δt = 0.328 s\n", + "step = 374/400, RSS = 884.928 MB, Δt = 0.323 s\n", + "step = 375/400, RSS = 884.928 MB, Δt = 0.336 s\n", + "step = 376/400, RSS = 884.928 MB, Δt = 0.294 s\n", + "step = 377/400, RSS = 884.928 MB, Δt = 0.314 s\n", + "step = 378/400, RSS = 884.928 MB, Δt = 0.291 s\n", + "step = 379/400, RSS = 884.928 MB, Δt = 0.306 s\n", + "step = 380/400, RSS = 884.928 MB, Δt = 0.310 s\n", + "step = 381/400, RSS = 884.928 MB, Δt = 0.335 s\n", + "step = 382/400, RSS = 884.928 MB, Δt = 0.289 s\n", + "step = 383/400, RSS = 884.928 MB, Δt = 0.286 s\n", + "step = 384/400, RSS = 884.928 MB, Δt = 0.290 s\n", + "step = 385/400, RSS = 884.928 MB, Δt = 0.295 s\n", + "step = 386/400, RSS = 884.928 MB, Δt = 0.283 s\n", + "step = 387/400, RSS = 884.928 MB, Δt = 0.280 s\n", + "step = 388/400, RSS = 884.928 MB, Δt = 0.314 s\n", + "step = 389/400, RSS = 884.928 MB, Δt = 0.329 s\n", + "step = 390/400, RSS = 884.928 MB, Δt = 0.295 s\n", + "step = 391/400, RSS = 884.928 MB, Δt = 0.290 s\n", + "step = 392/400, RSS = 884.928 MB, Δt = 0.310 s\n", + "step = 393/400, RSS = 884.928 MB, Δt = 0.328 s\n", + "step = 394/400, RSS = 884.928 MB, Δt = 0.316 s\n", + "step = 395/400, RSS = 884.928 MB, Δt = 0.322 s\n", + "step = 396/400, RSS = 884.928 MB, Δt = 0.325 s\n", + "step = 397/400, RSS = 884.928 MB, Δt = 0.340 s\n", + "step = 398/400, RSS = 884.928 MB, Δt = 0.317 s\n", + "step = 399/400, RSS = 884.928 MB, Δt = 0.322 s\n", + "step = 400/400, RSS = 884.928 MB, Δt = 0.310 s\n" + ] + } + ], + "source": [ + "# emu-sv backendsd\n", + "sim = emu_sv.SVBackend()\n", + "\n", + "basis = (\"r\",\"g\",)\n", + "density = QubitDensity(evaluation_times=[x for x in range(dt, t, 4*dt)], basis=basis, nqubits=2*N) \n", + "\n", + "#emu-sv config\n", + "svconfig = emu_sv.SVConfig(dt=dt,observables=[density]) # gpu = True\n", + "#svconfig = emu_sv.SVConfig(gpu=True,dt=dt,observables=[density]) \n", + "\n", + "results = sim.run(seq,svconfig)\n", + "magnetization_values = np.array(list(results[density.name].values()))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Plot the evolution of the qubit density $n_i$ of all the atoms" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "times = np.arange(4*dt,t+dt,4*dt)\n", + "\n", + "plt.figure(figsize=(10, 6)) \n", + "\n", + "for i in range(2*N):\n", + " result_plot = np.array(magnetization_values)[:,i]\n", + " plt.plot(times,2*result_plot-1,label=f'atom {i}')\n", + "\n", + "plt.title('Qubit Density Evolution')\n", + "plt.xlim(0,t)\n", + "\n", + "plt.xlabel(r'$tJ$')\n", + "plt.ylabel(r'$\\langle \\sigma^z \\rangle$')\n", + "plt.grid()\n", + "\n", + "plt.legend(loc='upper right')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": ".venv", + "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": "3.10.14" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} From 0033d7276c1e33debbab70f7b16c647a3a4dcd06 Mon Sep 17 00:00:00 2001 From: MauroMendizabal Date: Thu, 23 Jan 2025 16:48:01 +0100 Subject: [PATCH 2/3] performance improvement in correlation mat and mypy max-lin-length --- emu_sv/custom_callback_implementations.py | 19 +++++++++---------- emu_sv/sv_config.py | 12 ++++++++---- pyproject.toml | 2 +- 3 files changed, 18 insertions(+), 15 deletions(-) diff --git a/emu_sv/custom_callback_implementations.py b/emu_sv/custom_callback_implementations.py index 958648c..f108a3b 100644 --- a/emu_sv/custom_callback_implementations.py +++ b/emu_sv/custom_callback_implementations.py @@ -36,19 +36,18 @@ def correlation_matrix_sv_impl( num_qubits = int(math.log2(len(state.vector))) state_tensor = state.vector.reshape((2,) * num_qubits) - correlation_matrix = [] + correlation_matrix = [[0.0]*num_qubits for _ in range(num_qubits)] + for numi in range(num_qubits): - one_correlation = [] select_i = state_tensor.select(numi, 1) - for numj in range(num_qubits): - if numj < numi: - one_correlation.append((select_i.select(numj, 1).norm() ** 2).item()) - elif numj > numi: # the selected atom is deleted - one_correlation.append((select_i.select(numj - 1, 1).norm() ** 2).item()) - else: - one_correlation.append((select_i.norm() ** 2).item()) + for numj in range(numi, num_qubits): # select the upper triangle + if numi == numj: + value = (select_i.norm()**2).item() + else: + value = (select_i.select(numj-1 ,1).norm()**2).item() - correlation_matrix.append(one_correlation) + correlation_matrix[numi][numj]=value + correlation_matrix[numj][numi]=value return correlation_matrix diff --git a/emu_sv/sv_config.py b/emu_sv/sv_config.py index b7280a2..66577cc 100644 --- a/emu_sv/sv_config.py +++ b/emu_sv/sv_config.py @@ -69,14 +69,18 @@ def __init__( for num, obs in enumerate(self.callbacks): # monkey patch obs_copy = copy.deepcopy(obs) if isinstance(obs, QubitDensity): - obs_copy.apply = MethodType(qubit_density_sv_impl, obs) # type: ignore[method-assign] + # type: ignore[method-assign] + obs_copy.apply = MethodType(qubit_density_sv_impl, obs) self.callbacks[num] = obs_copy elif isinstance(obs, EnergyVariance): - obs_copy.apply = MethodType(energy_variance_sv_impl, obs) # type: ignore[method-assign] + # type: ignore[method-assign] + obs_copy.apply = MethodType(energy_variance_sv_impl, obs) self.callbacks[num] = obs_copy elif isinstance(obs, SecondMomentOfEnergy): - obs_copy.apply = MethodType(second_momentum_sv_impl, obs) # type: ignore[method-assign] + # type: ignore[method-assign] + obs_copy.apply = MethodType(second_momentum_sv_impl, obs) self.callbacks[num] = obs_copy elif isinstance(obs, CorrelationMatrix): - obs_copy.apply = MethodType(correlation_matrix_sv_impl, obs) # type: ignore[method-assign] + # type: ignore[method-assign] + obs_copy.apply = MethodType(correlation_matrix_sv_impl, obs) self.callbacks[num] = obs_copy diff --git a/pyproject.toml b/pyproject.toml index 94907d9..adeefdc 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -41,7 +41,7 @@ exclude_lines = [ [tool.flake8] max-complexity = 18 -max-line-length = 110 +max-line-length = 100 exclude = """ .git, .venv, From f08dd9598dd40938d32aa842044d47860c3aefc6 Mon Sep 17 00:00:00 2001 From: MauroMendizabal Date: Thu, 23 Jan 2025 17:19:55 +0100 Subject: [PATCH 3/3] update notebook --- emu_sv/custom_callback_implementations.py | 16 +- .../examples/emu_sv_getting_started.ipynb | 645 ----------------- .../examples/quench_emu_sv.ipynb | 665 ++++++++++++++++++ 3 files changed, 673 insertions(+), 653 deletions(-) delete mode 100644 examples/emu_sv_examples/examples/emu_sv_getting_started.ipynb create mode 100644 examples/emu_sv_examples/examples/quench_emu_sv.ipynb diff --git a/emu_sv/custom_callback_implementations.py b/emu_sv/custom_callback_implementations.py index f108a3b..5960e8c 100644 --- a/emu_sv/custom_callback_implementations.py +++ b/emu_sv/custom_callback_implementations.py @@ -36,18 +36,18 @@ def correlation_matrix_sv_impl( num_qubits = int(math.log2(len(state.vector))) state_tensor = state.vector.reshape((2,) * num_qubits) - correlation_matrix = [[0.0]*num_qubits for _ in range(num_qubits)] - + correlation_matrix = [[0.0] * num_qubits for _ in range(num_qubits)] + for numi in range(num_qubits): select_i = state_tensor.select(numi, 1) - for numj in range(numi, num_qubits): # select the upper triangle + for numj in range(numi, num_qubits): # select the upper triangle if numi == numj: - value = (select_i.norm()**2).item() - else: - value = (select_i.select(numj-1 ,1).norm()**2).item() + value = (select_i.norm() ** 2).item() + else: + value = (select_i.select(numj - 1, 1).norm() ** 2).item() - correlation_matrix[numi][numj]=value - correlation_matrix[numj][numi]=value + correlation_matrix[numi][numj] = value + correlation_matrix[numj][numi] = value return correlation_matrix diff --git a/examples/emu_sv_examples/examples/emu_sv_getting_started.ipynb b/examples/emu_sv_examples/examples/emu_sv_getting_started.ipynb deleted file mode 100644 index 77e8b55..0000000 --- a/examples/emu_sv_examples/examples/emu_sv_getting_started.ipynb +++ /dev/null @@ -1,645 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Getting started with Emu-SV\n", - "\n", - "In this tutorial, we will explore how to simulate a quench sequence using EMU-SV as the backend for Pulser. EMU-SV is a state vector emulator tailored for efficiently simulating the dynamics of the Rydberg Hamiltonian, offering both speed and precision for quantum system simulations.\n", - "\n", - "Our primary objective will be to study the evolution of the $\\sigma _z$ operator. However, we will utilize the number operator $n_i$, also referred to as the qubit density operator, for practical calculations. By carefully adjusting the detuning, we can account for and effectively compensate for additional terms in the Hamiltonian, simplifying the analysis.\n", - "\n", - "This tutorial will take you step by step through the process of setting up the simulation, running it with EMU-SV, and interpreting the results to better understand the system's behavior during the quench sequence.\n" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "from dataclasses import replace\n", - "\n", - "#pulser imports\n", - "from pulser.devices import AnalogDevice\n", - "from pulser import Sequence, Register, Pulse\n", - "from pulser.channels import Rydberg\n", - "\n", - "#emulators imports\n", - "from emu_base import QubitDensity\n", - "import emu_sv" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "# define the register arregement function and the device for the quench\n", - "def chain_coordinates(N,R1,R2):\n", - " \"\"\"Generate the coordinates of a chain of points arranged in two parallel \n", - " lines.\"\"\"\n", - " coords = [(-R2/2,i*R1-(N-1)/2*R1) for i in range(N)]\n", - " coords = coords + [(R2/2,i*R1-(N-1)/2*R1) for i in range(N)]\n", - " return coords\n", - "\n", - "\n", - "# device settings\n", - "VD = AnalogDevice.to_virtual()\n", - "VD = replace(\n", - " VD, \n", - " max_atom_num=50,\n", - " max_radial_distance=38,\n", - " max_sequence_duration=None,\n", - " channel_objects=(\n", - " Rydberg.Global(48.69468613064179, 12.566370614359172),\n", - " ))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The registers will be arranged in two parallel lines, each containing $N$ atoms, as generated by the function `chain_coordinates`. The atoms will be vertically separated by $R_1$ and horizontally by $R_2$ . The $U_i$ terms represent the interaction energies between pairs of atoms at various distances. For instance, $U_1$ represents the interaction energy between nearest neighbors along the same line, separated by a distance $R_1$. $U_2$ is the interaction energy between atoms across the two parallel lines, separated by the horizontal distance $R_2$, and so on." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAALIAAAPzCAYAAAATZlY8AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuNSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/xnp5ZAAAACXBIWXMAAA9hAAAPYQGoP6dpAABvCklEQVR4nO3de1xUdf4/8Nc5Awz3Qe4gIKAgKYoXRCk1LVPLtN3MrCy13LI27WJtrd9q7bJlW65WunbZWmzLyu5lZa2ZJiooKCqkpigg95sww20G5pzP7w9+zMKCBjpzDvM57+fjweNxPMycz3vG93x4z+dzzucIjDEGQpycqHYAhNgDJTLhAiUy4QIlMuECJTLhAiUy4QIlMuECJXInjDGYTCbQ0LrzoUTupKGhAQaDAQ0NDWqHQvqIEplwwUXtAIh9McbQ0tICAPDw8IAgCCpHpAzqkTkjyzIOHDiAAwcOQJZltcNRDPXIHHJx0d5/q0Bnv/2XyWSCwWCA0WiEr6+v2uGQPqDSgnCBEplwQXvFFOdkWcbJkycBAPHx8RBFbfRV2niVGsIYQ0VFBSoqKjQ1Q0k9MmcEQUBsbKxtWysokTkjiiKioqLUDkNxVFoQLlCPzBnGGFpbWwEAbm5umikvqEfmjCzLyMjIQEZGBk1RE+emlV64M5qi7oSmqJ0XlRaEC5TIhAtUI3NGlmXk5+cDAIYMGUJT1MQ5McZQVlaGsrIymqImzksQBERHR9u2tYISmTOiKNoSWUuotCBcoB6ZM4wxSJIEANDpdJopL6hH5owsy9izZw/27NmjqSlqSmTCBZqi7oSHKWrGmG3YTRAEzZQWVCNzRkvJ2xmVFoQL1CNzRpZlFBQUAABiYmJoipo4J8YYiouLUVxcTFPUxHkJgoDIyEjbtlZQInNGFEUMHjxY7TAUR6UF4QL1yJyhcWTCBVmWkZ6eDgCYNGkSdDqdyhEpg0oLwgXqkTkjiiImTpxo29YKSmTOCIKgyVsvaOcjS7imvY8u52RZxtmzZwEAUVFRmikvKJE5wxhDYWEhANhm+LSAEpkzgiAgPDzctq0VlMicEUUR8fHxaoehOG0UUIR7lMiEC1RacEaSJOzZswcAMHHiRM1MUVMic0hLJ9R3oETmjCiKSE1NtW1rBSUyZwRBgF6vVzsMxWnnI0u4Rj0yZ2RZRklJCQAgIiJCM+UFJTJnGGM4c+YMAGDgwIEqR6McSmTOCIKA0NBQ27ZWUCJzRhRFJCQkqB2G4rRRQBHuUSITLlBpwRlJkpCRkQEASE1NpSlq4rysVqvaISiOEpkzoigiJSXFtq0VlMicEQQBnp6eaoehOO18ZAnXqEfmjCzLKC8vBwCEhYVpprygROYMYwynTp0CANsMnxZQInNGEAQEBQXZtrWCEpkzoihi+PDhaoehOG0UUIR7lMiEC1RacEaSJOzfvx8AMH78eJqiJs6rtbVV7RAUR4nMGVEUkZycbNvWCkpkzgiCAG9vb7XDUJx2PrKEa9Qjc0aWZVRVVQEAgoODNVNeUCJzhjGGEydOAIBthk8LKJE5IwgC/P39bdtaQYnMGVEUMXLkSLXDUJw2CijCPUpkwgUqLTgjSRKys7MBAMnJyTRFTZxXS0uL2iEojhKZM6IoYvTo0bZtraBE5owgCDAYDGqHoTjtfGQJ16hH5gxjDNXV1QDaZ/a0MilCPTJnZFnGsWPHcOzYMciyrHY4iqEemUN+fn5qh6A4SmTO6HQ6jBo1Su0wFEelBeECJTLhApUWnJEkCTk5OQCA0aNH0xQ1cV6NjY1qh6A4SmTOdD4fmaaoidPqfIWIlmjnI0u4Rj0yZxhjOHfuHADA39+fpqiJc5JlGbm5ucjNzaUpauLcfHx81A5BcZTInNHpdBg7dqzaYSiOSgvCBUpkwgUqLTgjSRKOHDkCAEhKSqIpauK8TCaT2iEojhKZM6IoIjEx0batFZTInBEEAYGBgWqHoTjtfGQJ16hH5gxjDEajEQBgMBhoipo4J1mWcfjwYRw+fJimqIlz8/T0VDsExVEic0an0yElJUXtMBRHpQXhAiUy4QKVFpyRJAl5eXkAgMTERJqiJs6rrq5O7RAUR4nMGVEUcdlll9m2tYISmTOCICAkJETtMBSnnY8s4Rr1yJxhjKGhoQFA+7V7NEVNnJIsyzh06BAOHTpEU9TEubm7u6sdguIokTmj0+kwYcIEtcNQHJUWhAuUyIQLVFpwpuOuTgAwbNgwzUyKUCJzhjGGmpoa27ZWUCJzRhAExMfH27a1ghKZM6IoIjw8XO0wFKeNAopwj3pkzjDG0NzcDKD92j2tlBfUI3NGlmVkZWUhKyuLpqiJc3N1dVU7BMUJTEtjNL/BZDLBYDDAaDTC19dX7XBIH1BpQbhAiUy4QDUyZ2RZxokTJwAACQkJmpmi1sar1BDGGKqqqlBVVUVT1MR5CYKAIUOG2La1ghKZM6IoIiIiQu0wFEelBeEC9cicYYzBYrEAAPR6vWbKC+qROSPLMjIzM5GZmUlT1MS5aWXIrTOaou6Epqidl/Y+uoRLlMiEC1Qjc0aWZZw6dQoAEBcXp5l6WRuvUkMYYygvL0d5eTlNURPnJQgCYmJibNtaQYnMGVEUMWjQILXDUJzTlhYvvvgiBEHAQw89ZNtnNptx//33IyAgAN7e3pg7dy4qKyvVC5IoxikTOSsrC2+++SZGjhzZZf/DDz+MrVu34pNPPsHPP/+MsrIy3HjjjSpFqQ7GGFpbW9Ha2qqpGhnMyTQ0NLC4uDi2fft2duWVV7IHH3yQMcZYfX09c3V1ZZ988ontscePH2cAWEZGRq+ObTQaGQBmNBodEboirFYr27lzJ9u5cyezWq1qh6MYp+uR77//fsyaNQvTpk3rsv/gwYNoa2vrsj8hIQFRUVHIyMjo8VgWiwUmk6nLD3FOTvVl76OPPsKhQ4eQlZXV7XcVFRVwc3ODn59fl/0hISGoqKjo8XirV6/GM88844hQVaPT6TBlyhS1w1Cc0/TIxcXFePDBB7F582a73Vpg5cqVMBqNtp/i4mK7HJcoz2kS+eDBg6iqqsKYMWPg4uICFxcX/Pzzz3jttdfg4uKCkJAQtLa2or6+vsvzKisrERoa2uMx9Xo9fH19u/wQ5+Q0pcXVV1+N3NzcLvvuvPNOJCQk4PHHH0dkZCRcXV2xY8cOzJ07FwDw66+/4uzZs0hNTVUjZFXIsowzZ84AAGJjYzUzRe00iezj44PExMQu+7y8vBAQEGDbv2TJEqxYsQL+/v7w9fXF8uXLkZqaqqmbwzDGUFJSAgC2GT4tcJpE7o1169ZBFEXMnTsXFosFM2bMwMaNG9UOS1GCICAqKsq2rRV0Yn0ndGK989JGAUW4x1VpQdpr5I6LTkVR1Ex5QT0yZ2RZRnp6OtLT0zV1FTUlMuEClRacEUURkyZNsm1rBSUyZwRBgE6nUzsMxWnnI0u4Rj0yZ2RZRmFhIQAgOjpaM+WFNl6lhjDGcPbsWZw9e1ZTV4hQj8wZQRBs6yNrZQwZoETmjiiKthXrtYRKC8IFSmTCBSotOCNJEtLT0wEAkyZN0syYMvXIhAvUI3NGFEVcfvnltm2toETmjCAIcHNzUzsMxWnnI0u4Rj0yZ2RZtq3PERkZqZnyghKZM4wxFBQUAICm7oBKicwZQRAQFhZm29YKSmTOiKKIoUOHqh2G4rRRQBHuUSITLlBpwRlJkrB3714AwBVXXKGZKWpKZA5paRmADpTInBFF0bZoo1bGkAGqkRVz8OBBzJw5E76+vvDx8cH06dNx+PBhu7cjCALc3d3h7u6u6vBbY2MjVq1ahZkzZ8Lf3x+CIGDTpk09PnbDhg247LLLoNfrMXDgQKxYsQJNTU19a1DF+5f0O466Gc7BgweZu7s7i4uLY2vWrGEvvfQSi46OZr6+vuzEiRN2bau/KCgoYABYVFQUmzJlCgPA0tLSuj3uscceYwDYTTfdxF5//XW2fPly5uLiwqZPn96n9iiRO3FUIl933XVswIABrKamxravrKyMeXt7sxtvvNGubUmSxIqLi1lxcTGTJMmux+4Ls9nMysvLGWOMZWVl9ZjIZWVlzMXFhd1xxx1d9q9fv54BYF9//XWv26PSQgHp6emYNm0aAgICbPvCwsJw5ZVX4ptvvkFjY6Pd2mKMIT8/H/n5+apeRa3X6897y4sOGRkZsFqtuOWWW7rs7/j3Rx991Ov2KJEVYLFY4OHh0W2/p6cnWltbkZeXZ7e2BEFAcHAwgoOD+/0UtcViAYBu742npyeA9u8VvUWJrIChQ4ciMzMTkiTZ9rW2tmL//v0AgNLSUru1JYoihg0bhmHDhvX7UYuOqfSOce8OHZdq9eV96d+vlBN//OMfcfLkSSxZsgTHjh1DXl4eFi5ciPLycgBAS0uLyhGqY8yYMRg/fjz+9re/IS0tDYWFhdi2bRuWLl0KV1fXPr0vlMgKuPfee/F///d/+OCDDzB8+HCMGDECp0+fxmOPPQYA8Pb2VjlC9Xz22WdISkrCXXfdhZiYGMyePRs333wzRo8e3af3hRJZIc8//zwqKyuRnp6Oo0ePIisryzYDFx8fb7d2Oqao9+7d26WU6a8GDhyIPXv24OTJk9i9ezdKSkrw0ksvobi4uE/vC83sKWjAgAGYOHGi7d8//vgjIiIikJCQYNd22tra7Ho8JcTFxSEuLg4AcOzYMZSXl2Px4sW9fj4lskq2bNmCrKwsrFmzxq5fykRRxLhx42zbzkaWZTz22GPw9PTEvffe2+vnUSI7AGMMv5T9gtK6Uhg8DGg624TVz6/G9OnTERAQgMzMTKSlpWHmzJl48MEH7dq2IAjw8vKy6zF/C2MMJytPoqi2CJ5unkiOToa7qzs2bNiA+vp6lJWVAQC2bt1qu5nl8uXLYTAY8OCDD8JsNmPUqFFoa2vDBx98gAMHDuDdd9+13S+wN+g+e53Y4z57p6tO47lvnsPRkqNoam2Cm4sbguVgmH4yofDXQjQ0NCAmJgaLFi3CihUrnP7S/bL6Mjz/7fPYX7AfDeYGuOpcETEgAvdPvR/Lb1iOoqKiHp9XUFCA6OhobNq0Ca+88gry8/MhiiJSUlLwxBNPYOrUqX2KgxK5k0tN5OqGaty56U6cqjyFMEMYvPXeMFvNKKsvg6+7L9bfuh7jYsY5IPL/kmUZFRUVAIDQ0FCHlhdNlibctekuHC4+jBCfEPh6+KJVakW5sRxuOje8OPdFXDPsGoe135nzFVH92DdHv0F+ZT5ig2Lh4+4DQRDg4eqB2MBY1DfX4/3M9x0eA2MMJ0+exMmTJx0+Rf3j8R+RW5KL6IBoGDwNEAQBehc9ogOi0dLWgk17Nyl2bjQlsh3tPrkbrjpXuIhdv3oIgoABXgNwoPAAGswNDo1BEAQEBgYiMDDQ4VPUGaczwMDg5tK9PAryDsKvlb+iuK7YoTF0oC97dtQmtUEUeu4bREGEJEuwSlaHxiCKIhITEx3aRgdJPv84tSiIYIxd8DH2RD2yHY2LHgez1QyZdf9zWtdch4TQBPh5+ikfmIOMjBgJhp6TtbapFgP9BiJigDKLxFAi29ENo25AmCEMBTUFaJPaJyUkWUJZfRncXNxwS8ot/f6MtL64NvFaDAoYhDM1Z2Cxtp/JJjMZVaYqyEzGrSm39lh2OAKNWnRij+G3ffn78MzWZ9prQwYwMPh7+eOeyfdgYepChyeyJEnIysoCAIwbN87hV1EfLTmKJ754AqerT4O1X6gBg4cBCyYswLKpyxSblKFE7sQeiQwADeYG7Pp1F8rqy2DwMODK+CsR5hdmx0jPT40V681tZvz8688oOtc+ITIpbhIGBQxyeLudUSJ3Yq9EVhNjDA0N7SMjPj4+XJUyF0KjFpwRBMFpP4SXgr7sES5Qj8wZxhiqqqoAwCmu27MXSmTOyLKM48ePAwACAwNp7TfivAYMGKB2CIqjROaMTqdDUlKS2mEojr7sES5QIhMuUGnBGUmSbCv0jB07lr7sEefV3NysdgiKo0TmjCiKGDVqlG1bKyiROSMIAvz8/NQOQ3Ha+cgSrlGPzBnGGGprawEAAQEBmpmiph6ZM7IsIy8vD3l5eZq6uxP1yBzS4mmclMic0el0GDNmjNphKI5KC8IFSmTCBSotOCNJku1GlKNGjaIpauK8Oi4+1RJKZM6IoogRI0bYtrWCEpkzgiB0uTGlVmjnI0u4Rj0yZxhjqKurA9B+7R5NUROnJMsyjh49iqNHj9IUNXFuWrwBJSUyZ3Q6HZKTk9UOQ3FUWhAuUCITLlBpwRlJkpCbmwsAGDFiBE1RE+dVX1+vdgiKo0TmjCiKGDZsmG1bKyiROSMIAoKDg9UOQ3Ha+cgSrlGPzBnGGEwmE4D2a/doipo4JVmWkZOTg5ycHJqiJs7Nw8ND7RAURz2yQk6dOoVbbrkFERER8PT0REJCAp599lm7Lzio0+kwfvx4jB8/XtUx5MbGRqxatQozZ86Ev78/BEHApk2benzsxx9/jAkTJsDPzw8BAQG48sor8e233/atQUZsjEYjA8CMRqNdj3v27Fnm5+fHBg0axFavXs3efPNNtnjxYgaAzZkzx65t9RcFBQUMAIuKimJTpkxhAFhaWlq3x7322msMAJs1axZ7/fXX2bp161hSUhIDwD777LNet0eJ3ImjEvn5559nAFheXl6X/QsXLmQA2Llz5+zaXn9gNptZeXk5Y4yxrKys8yZyXFwcGzduHJNl2bbPaDQyb2/vPn3IqbRQQMcoQkhISJf9YWFhEEURbm72u/F4fzkfWa/XIzQ09DcfZzKZut1GzdfXF97e3n2q9SmRFTBlyhQAwJIlS3D48GEUFxdjy5YteP311/HAAw/Ay8vLbm0xxnDu3DmcO3cOzAnuzjxlyhR8//33WL9+PQoLC3HixAncf//9MBqNePDBB3t/oEv8C8IVR5UWjDH23HPPMQ8PDwbA9vPEE0/YvR1Jklh5eTkrLy9nkiTZ/fgX40KlRWVlJbv66qu7vC+BgYFs3759fWqDht8UEh0djcmTJ2Pu3LkICAjAt99+ixdeeAGhoaFYtmyZ3doRRbFXf9L7C09PTwwdOhQRERG4/vrr0dDQgHXr1uHGG29Eeno6hgwZ0rsD2elDxwVH9cgffvgh8/DwYMXFxV32L168mHl6erKamhq7ttffXKhHnjlzJrv++uu77KutrWX+/v7s5ptv7nUbVCMrYOPGjRg9ejQiIiK67J8zZw6am5uRk5Njt7YYY2hsbERjY2O/r5HPnDmD77//HnPmzOmy39/fHxMnTsTevXt7fSxKZAVUVlZCkqRu+9va2gAAVqvVbm3Jsozs7GxkZ2f3+ynqyspKADjve9OX94USWQHx8fHIycnByZMnu+z/8MMPIYoiRo4cadf23Nzc7Dqk5yhDhgyBKIrYsmVLl78eJSUlSE9Px+jRo3t9LPqy5yCldaUoqy+Dr4cvHn30UWzbtg2TJk3CsmXLEBAQgG+++Qbbtm3DH/7wB4SHh9utXZ1Oh8svv9xux+utKlMVimqL4OnmicvCLoMoitiwYQPq6+tRVlYGANi6dStKSkoAAMuXL0dQUBDuuusuvP3227j66qtx4403oqGhARs3bkRLSwtWrlzZ6/YF1t8LKQWZTCYYDAYYjcaLvn1BeX051m5fi90nd6O5tRluLm4YMXAErg68Gh++8SFycnJQW1uLmJgYLFq0CI899hhcXJy3P6lrqsMrP76C7ce2o8HcABedC+JD4rFs6jLcMf0OFBUV9fi8goICREdHw2q14o033sA777yD/Px8AMC4cePw1FNPYerUqb2OgxK5k0tNZGOzEXf/+24cKT6CQJ9AeOu9YbaaUWmsRIhvCDYu2IjhA4c7IHJ1mNvM+OPmP2Lvqb3w9/KHr4cvWq2tqDBVwOBhwNqb1+LyIcr8daAa2Y6+zf0WuaW5iA6Mhr+XP9xc3ODr7ovBwYNRYarAvzP+7fAYZFnGL7/8gl9++cXhX/Z2/boLmWcyEekfiUCfQLi5uMHb3RuDgwajvrkeb+95W7GRE0pkO9p5Ymf7uRMuXb9oiYKIAZ4DkJ6fjiZLk0NjYIyhuroa1dXVDk+i9FPpkGUZHm5dz4kQBAFBPkHILc1FaV2pQ2Po4LzFWT/U3NoMF7Hnt9RF54I2qQ0WqwVeevudW/G/BEFAXFycbduRzG3m816p7aJzgWSRYLFaHBpDB+qR7SgpIgnmNnOPPWF9cz2iA6Lh5+Hn0BhEUcTAgQMxcOBAhy8HMCxsGCRZ6rGEqW+uR7BvMAYOGOjQGDpQItvRnFFzEOAVgLPnzkKS2wf5GWOobqiGAAG3jLuFq7UmrhtxHcIN4SisLYRVbp+8YIyhrrkO5jYz5o2dB3dXd0VioVGLTuwx/LYtdxte+O4FVDf+t0b1dffFbeNvw4NXP+jwRGaMoaWlBUD7tXuOLi/25e/DU189hbL6MjDGwMDg5eaF2Umz8eSsJ+Hq4urQ9jtQIndij0QG2seStx/bjtL6Uhg8DLgq4SoMDR2qyKX5kiQhPT0dADBp0iRFrturbazF9mPbUVhbCE83T0yOm4ykyCRFlyKgRO7EXomsJkmSkJGRAQBITU3VzCKGlMid8JDIWsXPNw+iaZTIhAs0IcIZWZZtp4vGx8dzNdx3Idp4lRrCGENFRQUqKir6/RUi9kQ9MmcEQUBsbKxtWysokTkjiiKioqLUDkNxVFoQLlCPzBnGGFpbWwG0X7unlfKCemTOyLKMjIwMZGRk9PurqO2JemQOaaUX7oymqDuhKWrnRaUF4QIlMuEC1cickWXZtj5Ex0o+WqCNV6khjDGUlZWhrKyMpqiJ8xIEAdHR0bZtraBE5owoirZE1hIqLQgXqEfmDGPMtt6wTqfTTHlBPTJnZFnGnj17sGfPHk1NUVMiEy7QFHUnPExRs/a72QJoH7XQSmlBNTJntJS8nVFpQbhAPTJnZFlGQUEBACAmJoamqIlzYoyhuLgYxcXFNEVNnJcgCIiMjLRtawUlMmdEUcTgwYPVDkNxVFoQLlCPzBkaRyZckGVZ8YW++wMqLQgXqEfmjCiKmDhxom1bKyiROSMIglPf2/piaecjS7imvY8u52RZxtmzZwEAUVFRmikvKJE5wxhDYWEhANhm+LRAGx9XlS1evNg2ptvTT2mp/W48LggCwsPDER4eruoYcmNjI1atWoWZM2fC398fgiBg06ZN3R53offlmmuu6XV71CMrYOnSpZg2bVqXfYwx3HvvvYiOjsbAgfa7X7MoioiPj7fb8S5WTU0Nnn32WURFRSEpKQm7du3q8XHvvfdet33Z2dl49dVXMX369N43yJzECy+8wJKTk5m3tzcLCgpiN9xwAztx4kSXx7S0tLA//vGPzN/fn3l5ebEbb7yRVVRU9LoNo9HIADCj0Wjv8LtJT09nANjzzz/v8LbUYDabWXl5OWOMsaysLAaApaWl9eq5S5YsYYIgsOLi4l635zSlxc8//4z7778fmZmZ2L59O9ra2jB9+nQ0NTXZHvPwww9j69at+OSTT/Dzzz+jrKwMN954o4pRn98HH3wAQRBw2223qR2KQ+j1eoSGhvb5eRaLBZ999hmuvPJKRERE9P6JF/Np6w+qqqoYAPbzzz8zxhirr69nrq6u7JNPPrE95vjx4wwAy8jI6NUxleqRW1tbWUBAALviiivsfmyr1cp27drFdu3axaxWq92PfzH60iN//vnnDAD75z//2ac2nKZH/l9GoxEA4O/vDwA4ePAg2trautSiCQkJiIqKst2b+X9ZLBaYTKYuP0r44YcfUFtbiwULFjjk+KzTiUPOZvPmzdDr9bjpppv69Dyn/LInyzIeeughXHHFFUhMTAQAVFRUwM3NDX5+fl0eGxISgoqKih6Ps3r1ajzzzDOODrebDz74AK6urrj55pvtfmxRFJGammrbdiYmkwnffvstrrvuum7/j7/FuV7p/3f//fcjLy8PH3300SUdZ+XKlTAajbaf4uJiO0V4fo2Njfjqq68wY8YMBAQE2P34giBAr9dDr9c73Smcn332Gcxm80X9pXK6HnnZsmX45ptvsHv37i5fBkJDQ9Ha2or6+voun+bKysrzfuno+A9X0pdffonm5maHlRXObPPmzTAYDLj++uv7/Fyn6ZEZY1i2bBm++OIL/PTTT4iJieny+7Fjx8LV1RU7duyw7fv1119x9uxZ25/a/mDz5s3w9vbGnDlzHHL8jinqs2fPOtWSWeXl5di5cyfmzp17UZ2L0/TI999/Pz744AN89dVX8PHxsdW9BoMBHh4eMBgMWLJkCVasWAF/f3/4+vpi+fLlSE1NxYQJE1SOvl11dTV+/PFH3HrrrfD09HRIG4wxnDlzBgDsOtHiaB999BFkWb7ov1ROk8ivv/46AGDKlCld9qelpWHx4sUAgHXr1kEURcydOxcWiwUzZszAxo0bFY60nanFhKqGKvi6+yLYNxgAsGXLFlitVoeWFYIg2EopJWvkJksTyo3l8HLzQphfGABgw4YNqK+vR1lZGQBg69atKCkpAQAsX74cBoPB9vzNmzcjPDy82/9vb9Hab53YY+23+uZ6vPXzW/g291s0mBvg5uKGSXGTcM/ke7Dwdwtx5swZlJWVcXMJUrOlGe/seQdfHv4SdU11cNG5YFz0OCy9cinmTJyDoqKiHp9XUFBgW5D8119/RUJCAlasWIG///3vFxUHJXInl5rITZYmLPtgGfad3gdfd1/4uPvA3GZGTWMNYgJj8PrtryM2KNYBkaujzdqGRz95FD8c+wFebl4weBjQam1FdWM1Qn1Dsf629RgZMVKRWJzmy54z+D7ve+w/sx9R/lEINYTCS++FAO8ADAkegoKaAry77121Q7SrPfl78NOJnxDmG4Zwv3B46b0wwGsAhgQPQYWpAm/+/KZisVAi29GPx38EBMDd1b3Lfp2og5+nH3ac2IFmS7NDY5AkybbQd8fK9Y7y88mf0Sa1wdvdu8t+URAR5B2ErMIslNeXOzQGW5uKtKIRxhYj3HRuPf5O76JHm9QGs9Xs8DisViusVqvD2zG2GKETe6713VzcYJWsaGpt6vH39kaJbEcJoQkwt5l7PM/B2GJEmCEMBg9DD8+0H1EUkZKSgpSUFIdPUccFx8EqWyGz7uPVxhYjBngNQJghzKExdKBEtqM5SXPg4+6DcmN5l2Sub66HJEuYN3beeXswexEEAZ6envD09HT48Nt1I65DoHcgis8Vd0nmRnMjmlqbcMOoG+Cl93JoDB0oke1oVNQorLhmBVxEF5yqOoUz1WdwqvIUTGYTbhxzI25Otv9JQmqKDozGk7OehI+7D/Kr8m2vt6axBjOGzcAfJv5BsVho+K0Te91D5NeKX/Fd7ncoqi2Cv5c/pl02DRNiJyhyNposyygvb/+CFRYWpkibhTWF+C73O5yqOgVfd19MGToFk+ImwUWn3HwbJXInPNwMR5IkTa795jRT1KR3BEFAUFCQbVsrKJE5I4oihg8frnYYiqMve4QLlMiEC1RacEaSJOzfvx8AMH78ePqyR5xXa2ur2iEojhKZM6IoIjk52batFZTInBEEAd7e3r/9QM5o5yNLuEY9MmdkWUZVVRUAIDg4WDPlBSUyZxhjOHHiBADYZvi0gBKZM4Ig2NbDoylq4rREUcTIkcpc8NmfaKOAItyjRCZcoNKCM5IkITs7GwCQnJxMU9TEebW0tKgdguIokTkjiiJGjx5t29YKSmTOCILQZXFArdDOR5ZwjXpkzjDGUF1dDaB9Zk8rkyLUI3NGlmUcO3YMx44dc6oV6y8V9cgc6usdkXhAicwZnU6HUaNGqR2G4qi0IFygRCZcoNKCM5IkIScnBwAwevRomqImzquxsVHtEBRHicyZzucj0xQ1cVqdrxDREu18ZAnXqEfmDGMM586dAwD4+/vTFDVxTrIsIzc3F7m5uTRFTZybj4+P2iEojhKZMzqdDmPHjlU7DMVRaUG4QIlMuEClBWckScKRI0cAAElJSZqZoqYeWUGHDh3CnDlz4O/vD09PTyQmJuK1116zezsmkwkmk8nux+2LxsZGrFq1CjNnzrQNA27atKnHx8qyjNdffx2jRo2Ch4cHAgICcNVVV9k+kL1BPbJC/vOf/2D27NkYPXo0nnrqKXh7e+P06dMoKSmxazuiKCIxMdG2rZaamho8++yziIqKQlJSEnbt2nXex951113YvHkzFi5ciGXLlqGpqQk5OTm2VUV7hREbo9HIADCj0Wj344aEhLDf//73TJIkux67vzKbzay8vJwxxlhWVhYDwNLS0ro9bsuWLQwA+/zzzy+pPSotFPDBBx+gsrISzz//PERRRFNTE/eTFXq9HqGhob/5uLVr1yIlJQW///3vIcsympqaLqo9SmQF/Pjjj/D19UVpaSmGDh0Kb29v+Pr64r777oPZbLZrW4wx1NfXo76+Hqyf353ZZDLhwIEDGDduHP7v//4PBoMB3t7eiI2Nxccff9ynY1GNrIBTp07BarXihhtuwJIlS7B69Wrs2rUL69evR319PT788EO7tSXLMg4fPgyg/9+L+vTp02CM4aOPPoKLiwteeuklGAwGvPrqq7jlllvg6+uLmTNn9u5gl1SYcMZRNXJsbCwDwO69994u+5cuXcoAsJMnT9qtLavVyvbv38/279/PrFar3Y57Kc5XI+/evZsBYABYZmambX9DQwMLDAxkV1xxRa/boNJCAR4eHgCAW2+9tcv+2267DQCQkZFht7Z0Oh1SUlKQkpLSr3tj4L/vS0xMDMaPH2/b7+3tjdmzZ+PAgQOwWq29OhYlsgLCw8MBACEhIV32BwcHAwDq6uoUj6k/ON/7ArS/N21tbb3+8keJrICOk3hKS0u77C8rKwOgrZvWdBYeHo7Q0NBu7wvQ/t64u7v3+kw+SmQF3HzzzQCAd955p8v+t99+Gy4uLpgyZYrd2uqYoj5y5AgkSbLbcR1l/vz5KC4uxvbt2237ampq8NVXX+Gqq67q9aQOjVo4iFWywmQ2wdPNE6NHj8Zdd92Ff/3rX7Barbjyyiuxa9cufPLJJ1i5cqXtT6y9qFGqSLIEY4sR7i7u8NR7AgA2bNiA+vp621+erVu32mYyly9fDoPBgJUrV+Ljjz/G3LlzsWLFChgMBrzxxhtoa2vDCy+80Ov2Bcb6+WCjgkwmEwwGA4xGI3x9fS/qGC2tLdi8fzO+OPQFappq4O7qjusSr8OtybcibWMa0tLSUFZWhkGDBuH+++/HQw89ZNfXwBjrcsNIR1/q1GZtw8fZH+OTg5+g3FgOV50rrk64GosuX4Srxl2FoqKiHp9XUFCA6OhoAMCZM2fw6KOPYseOHWhra0NqaipefPFFjBs3rtdxUCJ3cqmJ3GptxZ8++RP+c+w/0Lvo4ePuA3ObGcYWI4aFDcPrt7+OML8wB0SuDlmW8fTXT+OzQ59BJ+pg8DDAYrWgvrkeMYEx2HDbBsSFxCkSC9XIdrT92Hb8ePxHhBnCEOkfCT9PP4QaQjE4aDCOlR/DvzP+rXaIdpV5JhNfHfkK/l7+GBQwCH6efgjxDcGQ4CEoqCnAW7vfUiwWSmQ7+uGXH8DA4KX36rLfRecCg4cB3+V9B3Obfaek/xdjzHYap6P/2O44vgOWNgv8PP267NeJOgR6ByL9VDqqTH04g+0SUCLbUXVDNdx0bj3+zt3VHeZWM5osF3dSTG/JsoxDhw7h0KFDDj8xqbapFjqx50kXd1d3tFpbYWwxOjSGDpTIdhQbFAuL1dLj7xrMDQj0DoTBw/E3qnF3d4e7u7vD2xkUMAhW2dpjz99gboCPuw9CfLtPdjgCJbIdXT/yeri7uqO6obrL/iZLEyxWC34/5vdw0Tl2xFOn02HChAmYMGGCw6eorxtxHfw8/FBuLO+SzOY2M0xmE2aNmAVfj4sb/ekrSmQ7mhA7AX+Y9Ae0WltxquoUis8V43T1aVSaKnHNsGuwYPwCtUO0q6GhQ/HQtIcgCiLyq/Jtr7e0rhSXD74c91x5j2Kx0PBbJ/YYR2aMYf+Z/dh6dCvOVJ9BoHcgZibOxDXDroGbS8/1s7M7fPYwvj7yNY6XH4fBw4Dpw6djxvAZ3b70OhIlcif2SGS1ddzVCQCGDRummaVlaYqaM4wx1NTU2La1ghKZM4IgID4+3ratFZTInBFF0e4nITkDbRRQhHvUI3OGMYbm5mYAgKenp2bKC+qROSPLMrKyspCVlcX92hmdUY/MIVdXV7VDUByNI3fCwziyVlFpQbhAiUy4QDUyZ2RZxokTJwAACQkJmpmi1sar1JCOi0+rqqpoipo4L0EQMGTIENu2VlAic0YURURERKgdhuKotCBcoB6ZM4wxWCzt1w3q9XrNlBfUI3NGlmVkZmYiMzOTpqiJc9PKkFtnNEXdCU1ROy/tfXQJlyiRCReoRuaMLMs4deoUACAuLk4z9bI2XqWGMMZQXl6O8vJymqImzksQBMTExNi2tYISmTOiKGLQoEFqh6E4Ki0IF6hH5gxjDG1tbQDar93TSnlBPTJnZFnGvn37sG/fPk1NUVMiEy7QFHUnNEXtvKhHJlygRCZcoFELzsiyjDNnzgAAYmNjaYqaOCfGGEpKSlBSUkJT1MR5CYKAqKgo27ZWUCJzRhRFxMbGqh2G4qi0IFygHpkzjDHbjJ4oipopL6hHVsCuXbsgCEKPP5mZmXZtS5ZlpKenIz09XdUp6sbGRqxatQozZ86Ev78/BEHApk2buj1u8eLFPb4vCQkJfWqPemQFPfDAAxg3blyXfR3LW/GmpqYGzz77LKKiopCUlIRdu3ad97F6vR5vv/12l30GQ9/u2U2JrKBJkybhpptucmgboihi0qRJtm21hIWFoby8HKGhocjOzu72Ae7MxcUFt99++yW1R6WFwhoaGmC1Wh12fEEQoNPpoNPpVK2P9Xo9QkNDe/14SZJgMpkuuj1KZAXdeeed8PX1hbu7O6ZOnYrs7Gy1Q+oXmpub4evrC4PBAH9/f9x///1obGzs0zGotFCAm5sb5s6di+uuuw6BgYE4duwY1qxZg0mTJmHfvn0YPXq03dqSZRmFhYUAgOjo6H4/RR0WFobHHnsMY8aMgSzL+P7777Fx40YcOXIEu3btgotLL1OUERuj0cgAMKPR6PC2Tp06xTw8PNiMGTPselyr1cp27tzJdu7cyaxWq12PfbGysrIYAJaWltarxz///PMMAPvwww973Ub//rhybMiQIbjhhhuwc+dOSJJkt+MKgoCIiAhEREQ47Rjyww8/DFEU8eOPP/b6OVRaqCgyMhKtra1oamqy24n8oig6/ZCeh4cHAgICcO7cuV4/h3pkFZ05cwbu7u7w9vZWO5R+paGhATU1NQgKCur1cyiRFVBdXd1t35EjR/D1119j+vTp/f4LmaOYzWY0NDR02//cc8+BMYaZM2f2+lhUWjgQYwyCIGD+/Pnw8PDA5ZdfjuDgYBw7dgxvvfUWPD098eKLL9q1TUmSkJ6eDqB9Akan09n1+BfC/v/5zx21+YYNG1BfX4+ysjIAwNatW1FSUgIAWL58Oerq6jB69GjceuuttinpH374Ad999x1mzpyJG264oddt08Wnndjj4lOrZMXXR77GFzlfoKCmAP6e/vDK98KpfadQcKYAJpMJQUFBuPrqq7Fq1Sq717NKJzJjDN/nfY/PDn2GExUn4KP3wayRs3Bz8s1IGZmCoqKiHp9XUFAAPz8/LF++HJmZmSgrK4MkSRgyZAgWLFiARx99tE/31KZE7uRSE9kqWfHM1mfwRc4XYGDw0fvA3GaGuc2MMYPGYMNtG+Dv5e+AyP+LKbhAC2MM67avw6Z9m2CVrfBx90GrtRXNrc24LOwy/OO2f2DggIEOa78zbRZnDrLr11348vCX8PfyR2xgLIJ8ghDpH4mogCgcLDqId/e96/AYBEGAm5sb3NzcHD78dujsIbyf+T689F4YHDQYwT7BiBgQgdjAWBwrO4bXd73u0PY7o0S2o21522CVrDB4dD1zS++ih7feG98c/Qat1laVorO/7b9sR3NrMwK8Arrsd9G5wN/LHztO7MC5pt4PoV0KSmQ7Kqsvg95F3+PvPN080WhuRIO5+7d0e5JlGUVFRSgqKnL4+cgVpgroxJ5PTvJ084SlzYLaxlqHxtCBEtmOIgZEwGK19Pi7ptYm+Hr4wsfdx6ExMMZQUFCAgoICh19FHe4XDqts7bGdptYmeLh5INA70KExdKBEtqPrRlwHV50r6prruuw3t5nRbGnG70b/Dm4ubg6NQRAEhIWFISwszOE18ozhM+Ct90Z1Y9dx8lZrK+qa6nDNsGswwGuAQ2PoQKMWnVzqqIUsy1i9bTU+OvARZCbD080TZqsZVsmK8THj8eotr8Lg2bcrH/ozxhg27tqIf+7+JyxWC7z13miVWmFps2BExAisv3U9Qg29Pyf5UlAid2KPcWRJlvDDLz/gy5wvcab6DPy9/DE7aTZ+N/p3Di8r1MAYw65fd+HzQ5/jeMVx+Lr74roR1+HGMTc6fKixM0rkTmg1TudFU9SckSQJe/fuBQBcccUVik5Rq4kSmUNaWqm+AyUyZ0RRxIQJE2zbWkGJzBlBEODu7q52GIrrcyIXFBQgPT0dRUVFaG5uRlBQEEaPHo3U1FRNvoGkf+h1Im/evBmvvvoqsrOzERISgvDwcHh4eODcuXM4ffo03N3dsWDBAjz++OOavGFhfyHLsu383/DwcM2UF71K5NGjR8PNzQ2LFy/GZ599hsjIyC6/t1gsyMjIwEcffYTk5GRs3LgR8+bNc0jA5MIYY8jPzwfQfqm9VvRqHPmHH37AjBkzenXA2tpaFBYWYuzYsZccnNJ4GEeWZRknTpwAACQkJGimR6YJkU54SGStuuhRi6qqKlRVVXUbsxw5cuQlB0VIX/U5kQ8ePIhFixbh+PHjXS427LjQ0p6LjRDSW31O5Lvuugvx8fF45513EBIS4rSr2fBKkiTb4uETJkygKerzOXPmDD777DOnX82GZx0Xn2pJnxP56quvxpEjRyiR+ylRFG2LamtlxAK4iFGLmpoaLFq0CCkpKUhMTOy29sCcOXPsGqCSaNTCefW5R87IyMDevXuxbdu2br+jL3tELX3+27N8+XLcfvvtKC8vhyzLXX4oidXXMUVdVlamqdM5+9wj19bW4uGHH0ZISIgj4iGXiDGGkydPAoCm/o/63CPfeOON2LlzpyNiIXYgCAICAwMRGBioqaHRPvfI8fHxWLlyJfbs2YMRI0Z0+7L3wAMP2C040neiKCIxMVHtMBTX51GLmJiY8x9MEHDmzJlLDkotNGrhvC7qxPr+7h//+AdefvllVFRUICkpCevXr0dKSoraYREHstuIeXl5OV566SV7He6ibdmyBStWrMCqVatw6NAhJCUlYcaMGaiqqlI7NEV0TFFnZmZqahSpz6XFXXfd1eP+oqIiHDhwoMel9JU0fvx4jBs3Dhs2bADQPhwVGRmJ5cuX489//vMFn9tRWpw7dw5+fn62L0uyLNtOiuo8W9aRKKIoOvyxjDHbcFrn8yf+97GSJGH37t1gjGHixIlwc3Ozy3Ev9NieXoc9HtsXfe6R6+rquvzU1NTgwIED2LVrF9asWXNRQdhLa2srDh48iGnTptn2iaKIadOmISMjo9vjLRYLTCZTlx8A2LdvX5fzFYqLi5Geno5Tp051ef7evXuRnp4Oi+W/CxeWlZUhPT3ddnJ7h8zMTKSnp6O5udm2r6KiAunp6Th27FiXx2ZlZSE9Pb1Lp1BVVYX09HTk5eV1eezBgweRnp4Oo9Foe70xMTFoa2vr9tjDhw8jPT29y92S6urqkJ6ejpycnC6Pzc3NRXp6epf7n5hMJqSnp3e7Y2teXh7S09O7/NVrampCeno69u/f3+Wxx48fR3p6OsrLy237WlpakJ6e3uP/UW/1uUb+4osvetz//PPP48svv8TSpUsvOphLVVNTA0mSuo2fhoSEdEssAFi9ejWeeeYZpcJThCAI8Pb2hl7f8/K2vLLbFSJnzpzB8OHD0dLSYo/DXZSysjIMHDgQ+/btQ2pqqm3/Y489hp9//rlb72CxWLr0piaTCZGRkU5dWqjx2P5QWthtXYsjR47Y9Z7KFyMwMBA6nQ6VlZVd9ldWVvZ4p3q9Xt9jz6XTdV28+nxnkfX0pjvqsYIg9Lj/f/cxxmx/4oODg+123As9tqfXYY/H9kWfE3nFihXd9lVWVuKrr77CrFmzuvx+7dq1lxRcX7m5uWHs2LHYsWMHfve73wFo7wF27NiBZcuWKRqLWmRZxvHjxwH894OtBX1O5P/9UtBh3Lhxtuv4AHTp0ZS0YsUKLFq0CMnJyUhJScErr7yCpqYm3HnnnarEo4YBA5RZXLtf6fXt153I+vXrWVRUFHNzc2MpKSksMzOzV88zGo0MADMajQ6OkNgbLQfQCU1RO69ejSPPnDnTdkHjhTQ0NOBvf/sb/vGPf1xyYIT0Ra9q5Hnz5mHu3LkwGAyYPXs2kpOTER4eDnd3d9TV1eHYsWPYs2cPvvvuO8yaNQsvv/yyo+Mm5yFJEg4ePAgAGDt2rGa+7PW6tLBYLPjkk0+wZcsW7NmzxzaTJAgChg0bhhkzZmDJkiW47LLLHBqwI/FQWqh5U3U1XXSNbDQa0dLSgoCAgD7d/Lo/4yGRGWO2TsZgMGjm5PqLnhAxGAwwGPi51RYvBEGAn5+f2mEoTjsLHxCuUSKr4Pnnn4cgCA65JIkxhpqaGtTU1Dj8Fr4X0tjYiFWrVmHmzJnw9/eHIAjYtGnTBZ/T1taGYcOGQRCEPp9JSYmssJKSErzwwgvw8vJyyPFlWUZeXh7y8vJUXQ6gpqYGzz77LI4fP46kpKRePWf9+vU4e/bsRbVHiaywRx99FBMmTEBycrLD2vD19VX9y2pYWBjKy8tRVFTUq+HYqqoqPPvss3j88ccvqr0+J/KiRYuwe/fui2pM63bv3o1PP/0Ur7zyisPa0Ol0GDNmDMaMGaPq0Jter+/xjMPz+fOf/4yhQ4fi9ttvv6j2+pzIRqMR06ZNQ1xcHF544QWUlpZeVMNaI0kSli9fjj/84Q8YMWKE2uH0KwcOHMC7776LV1555aKHC/ucyF9++SVKS0tx3333YcuWLYiOjsa1116LTz/9VJPLmfbWG2+8gaKiIjz33HNqh9KvMMawfPlyzJ8/v8vFEH11UTVyUFAQVqxYgSNHjmD//v0YMmQI7rjjDoSHh+Phhx/udm2b1tXW1uIvf/kLnnrqKQQFBTm0rY4p6oMHDzrFVdSbNm1Cbm4u/va3v13ScS7py155eTm2b9+O7du3Q6fT4brrrkNubi6GDRuGdevWXVJgPHnyySfh7++P5cuXK9JeQ0OD6lez94bJZMLKlSvxpz/9qdst7/qqzzN7bW1t+Prrr5GWlob//Oc/GDlyJB566CHcdttttm/KX3zxBe666y48/PDDlxQcD06dOoW33noLr7zyiu1GjgBgNpvR1taGwsJC+Pr6wt/f3y7tiaJoq8H7+0Lfa9asQWtrK+bPn4/CwkIA7cOTQPvV3YWFhQgPD++ypMF59fUE5oCAADZgwAD2xz/+keXk5PT4mLq6OhYdHX1xZ0iryBEn1u/cuZMBuODPgw8+aLf2+qOsrCwGgKWlpXXZv2jRot98b86XY/+rzz3yunXrMG/evAved9rPz88pltZSQmJiYo9LKDz55JNoaGjAq6++isGDB6sQmfoeeOAB27WVHaqqqrB06VIsXrwYN9xwwwXXGuyMrhDpRMmz36ZMmYKamppui6hcKsYY6urqALRfu6fm2W8bNmxAfX09ysrK8Prrr+PGG2+0XWm/fPnyHk86KywsRExMDF5++WU8+uijvW7LbssBkHaMMez6dRe2HtmK09WnEeQThGsTr8V1I66Dh5uHw9uXZRlHjx4FoMz5yIwxHCg4gC8Pf4ljZcfg5+mH6cOmY3bSbKxZswZFRUW2x37++ef4/PPPAQC33367Xc+epB65k0vtkRljWLt9Lf6d8W+0Wlvh4eYBi9UCxhgmxU3C3+f9Hd7u3g6I/L8kSbJd6T569GiHJ/KmvZuw/qf1aG5thoebB1qtrZBkCWOixuDVW15FoE+gQ9vvQIncyaUm8p5Te7Dsg2XwdPNEgHeAbX9zazNK60vx8LSHsfRK9ZYUs7dfSn/B4k2LAQaEGv47HW2xWlBUW4SFqQvxxKwnFImlf4/POJlvc7+FxWrpksQA4OnmCQ9XD3yR8wXarPzMfn7/y/cwtZgQ4tt1rT29ix4GDwO+z/sexmajIrFQIttRYU0h9C49Lx7orfdGXVMdTGaTwlE5TvG5YriILj1+ofTWe6PJ0oSqBmXWpaZEtqNg32BYrJYef9fS1gJPvSe89Y6vkQ8fPozDhw87fIo6yCcIktxzGy1tLdC76DHAU5lVjyiR7ejaxGuhE3VoMHedHm61tqLB3IDrRlwHvavjl3utr69HfX29w9uZdtk0uLu5o66prst+SZZQ21iLyfGTFfuyR8NvdnR1wtW4NvFafJv7Lc41nYOPuw/MbWY0WhoxMmIkFqUucngMoihi2LBhtm1HSolJwbyx8/DhgQ9R31IPXw9f24c2LiQO9025z6Htd0ajFp3YY0LE0mbBpwc/xacHP0WFqQJeei/MHjkbt42/DUE+jj3zTQ1WyYqvDn+FTw5+grO1Z6F31ePa4dfi1vG3ItL/0k4E6gtK5E7sObPHGENzazP0Lnq46Pj/w6f26+X/HVaJIAjw0jvmAtMLYYzZ7oXi6+ur2BS1Wq+3A33Z44wsy8jJyUFOTg7dVJ04Nw8Px5/T0d9QInNGp9Nh/PjxaoehOCotCBcokQkXqLTgTMeSWUD71Sn9/bo9e6FE5gxjzHaLXi1NEVAic0YQBCQkJNi2tYISmTOiKPZpzTVeaKOAItyjHpkzjDE0NTUBALy8vDRTXlCPzBlZlpGdnY3s7GyaoibOrVdLTHGGTuPshIfbk2kVlRaEC5TIhAtUI3NGlmUcP34cAHDZZZdpZopaG69SQxhjqK6uRnV1NU1RE+clCALi4uJs21pBicwZURQxcOBAtcNQHJUWhAvUI3OGMYaWlhYA7dfuaaW8oB6ZM7Is48CBAzhw4ABNURPn5uKivf9WmqLuhKaonReVFoQLlMiEC9orpjgnyzJOnjwJAIiPj6cpauKcGGOoqKhARUUFTVET5yUIAmJjY23bWkGJzBlRFBEVFaV2GIqj0oJwgXpkzjDG0NraCqD92j2tlBfUI3NGlmVkZGQgIyODpqiJc9NKL9wZTVF3QlPUzotKC8IFSmQF/PLLL5g3bx5iY2Ph6emJwMBATJ48GVu3blU7NIdpbGzEqlWrMHPmTPj7+0MQBGzatKnb4/75z3/iyiuvREhICPR6PWJiYnDnnXeisLCwT+1RjayAoqIiNDQ0YNGiRQgPD0dzczM+++wzzJkzB2+++Sbuueceu7UlyzLy8/MBAEOGDFFtirqmpgbPPvssoqKikJSUhF27dvX4uJycHMTExGDOnDkYMGAACgoK8M9//hPffPMNjhw5gvDw8N41yIiN0WhkAJjRaHR4W1arlSUlJbGhQ4fa/bg7d+5kO3fuZFar1a7H7guz2czKy8sZY4xlZWUxACwtLa1Xz83OzmYA2OrVq3vdHpUWKtHpdIiMjLT7zc8FQUB0dDSio6NVHb3Q6/UXvU5zdHQ0APTpvaHSQkFNTU1oaWmB0WjE119/jW3btmH+/Pl2bUMURVsiOJPa2lpIkoSzZ8/i2WefBQBcffXVvX4+JbKCHnnkEbz55psA2hPuxhtvxIYNG1SOqn8YOHAgLBYLACAgIACvvfYarrnmml4/nxJZQQ899BBuuukmlJWV4eOPP4YkSbbpZHthjEGSJADt5YuzTI5s27YNZrMZx48fx/vvv29brLzXLqKO55aSX/YYY+yaa65h48aNY7Is2+2Y/eXLXmd9/bKXn5/P3N3d2fr163vdBn3ZU9FNN92ErKws2xUdpN3gwYMxevRobN68udfPodJCRR0LqRiNRrsdUxRFTJ48GYBzn3PR0tJiq5l7g3pkBVRVVXXb19bWhn//+9/w8PDAsGHD7NaWIAgQRRGiKPb7RLZarairq+u2/8CBA8jNzUVycnKvj0U9sgKWLl0Kk8mEyZMnY+DAgaioqMDmzZtx4sQJ/P3vf4e3t7faITrEhg0bUF9fj7KyMgDA1q1bUVJSAgBYvnw5GGOIjIzE/PnzMXz4cHh5eSE3NxdpaWkwGAx46qmnet0Wnf3WiT3OfmOM4WjJUXyX+x0KagoQ4B0AlwIXZGzLQF5eHmpra+Hj44OxY8di+fLlmDNnjl1fgyzLKCgoAADExMQoMkX9a8Wv+PbotzhRcQIGDwOuSrgKVyVchaFxQ1FUVNTjcwoKChAeHo7HHnsMO3fuRGFhIVpaWhAeHo5p06bhySef7NN4OPXIdsQYw6Z9m/CPnf9Ao7kRri6usEpWuIguuO7e6/Dd776Dm4tj77jEGENxcTEAKDIx8mXOl3hx24uoa66Dm84NVtmK73K/w+T4ycg9kQsfd58LPv+VV16xSxyUyHZ0sOggNvy0AaIgYkjwEFuNajKbsPXIVgwLH4ZFly9yaAyCICAyMtK27Uinq07jb9v+BnObGXHBcbb2mlub8dOJn/B2+tt4+JqHHRpDB/qyZ0dbj2xFk6UJoYbQLknk6+4LV50rPjv4GayS1aExiKKIwYMHY/DgwQ4vK77L/Q7nms8hYkBEl9fr6eYJH3cffHX4KzSYGxwaQwdKZDs6WXkS7q7uPf7O18MXlQ2VMJlNCkflOKerT8NFdOmx5/d194WpxYRKU6UisVBpYUf+Xv5olXqecrZYLdC76OHh6uHQGBhjthWGBEFwaHkxwHMAJFnq8XcWqwWuOld465UZkaEe2Y6mD58OAGhpbemyX5Il1DfXY8bwGfBwc2wiy7KM3bt3Y/fu3Q6/inpqwlS4urh2+ysjMxnVjdWYEDsBoYaLO5WzryiR7WjG8BmYOGQiSupKUFZfhgZzA6obqpFflY+44DgsTF2odoh2dfngy3Ft4rWoMlWhpK4EJrMJNY01OFV5ChF+EVh65VLFYqFx5E7sMY7cYG5A2t40fHX4KxhbjNC76HFVwlVYMnEJogOj7RtwD5jCZ7+Z28x4P/N9fHbwM9Q01sBF54KJQyZiycQlSAhLcGjbnVEid2LP5QBaWltQ01gDX3dfGDwNdoqw/7K0WVDdUA1PvSf8vfwVb58SuRNa18J50agFZ2RZxtmzZwEAUVFRmlnomxKZM4wx25oQHTN8WkCJzBlBEGxrQfT30zjtiRKZM6IoIj4+Xu0wFKeNAopwjxKZcIFKC85IkoQ9e/YAACZOnAidTqdyRMqgROaQFqcGKJE5I4oiUlNTbdtaQYnMGUEQoNfr1Q5Dcdr5yBKuUY/MGVmWbZfcR0REaKa8oETmDGMMZ86cAdC+wqVWUCJzRhAE2wLbNEVNnJYoikhIUO6E9v5CGwUU4R4lMuEClRackSQJGRkZAIDU1FSaoibOy2p17GpG/RElMmdEUURKSoptWysokTkjCAI8PT3VDkNx2vnIEq5Rj8wZWZZRXl4OAAgLC9NMeUGJzBnGGE6dOgUAF30LXWdEicwZQRAQFBRk29YKSmTOiKKI4cOHqx2G4rRRQBHuUSITLlBpwRlJkrB//34AwPjx42mKmjiv1taeb//AM0pkzoiiaLv1rVbGkAFKZO4IgsDtLYEvRDsfWcI16pE5I8syqqqqAADBwcGaKS8okTnDGMOJEycAwDbDpwWUyJwRBAH+/v62ba2gROaMKIoYOXKk2mEoThsFlMqysrKwbNkyDB8+HF5eXoiKisLNN9+MkydPqh2awzQ2NmLVqlWYOXMm/P39IQgCNm3a1OUxsixj06ZNmDNnDiIjI+Hl5YXExET89a9/hdls7lN7dHuyThx1e7KbbroJe/fuxbx58zBy5EhUVFRgw4YNaGxsRGZmJhITE+3WVn9RWFiImJgYREVFITY2Frt27UJaWhoWL15se0xjYyN8fHwwYcIEXH/99QgODkZGRgbeffddTJ48GT/99FPvyyNGbIxGIwPAjEajXY+7d+9eZrFYuuw7efIk0+v1bMGCBXZty2q1sszMTJaZmcmsVqtdj90XZrOZlZeXM8YYy8rKYgBYWlpal8dYLBa2d+/ebs995plnGAC2ffv2XrdHpYUCLr/8cri5uXXZFxcXh+HDh+P48eN2b6+lpQUtLS2//UAH0uv1v3liv5ubGy6//PJu+3//+98DQJ/eG/qypxLGGCorK+1+7rAoihg9erRt2xlVVFQAAAIDA3v9HOd8pRzYvHkzSktLMX/+fLseVxAEGAwGGAwGpx1+e+mll+Dr64trr72218+hHlkFJ06cwP3334/U1FQsWrRI7XD6lRdeeAE//vgjNm7cCD8/v14/jxJZYRUVFZg1axYMBgM+/fRTu58vzBhDdXU1gPaZPWfqlbds2YInn3wSS5YswX333den51JpoSCj0Yhrr70W9fX1+P7772232rUnWZZx7NgxHDt2DLIs2/34jrJ9+3YsXLgQs2bNwhtvvNHn51OPrBCz2YzZs2fj5MmT+PHHHzFs2DCHtdWXP8n9wf79+/H73/8eycnJ+Pjjj+Hi0ve0pERWgCRJmD9/PjIyMvDVV1/Zbh/mCDqdDqNGjXLY8e3t+PHjmDVrFqKjo/HNN9/Aw8Pjoo5DiayARx55BF9//TVmz56Nc+fO4f333+/y+9tvv12lyBxrw4YNqK+vR1lZGQBg69atthv1LF++HKIoYsaMGairq8Of/vQnfPvtt12eP3jw4F5/6GmKuhN7TVGfrT2L73/5HqV1pTB4GPDBqg9wMPPgeR/v7P8F5fXl+OGXH1BQUwBvd29MjpuMcdHjEBsbi6Kioh6fU1BQAACIiYk573EXLVrU7fyM86FE7sQeifxlzpf42/d/Q11THQCAgcHLzQvzkufhsZmPQSc69qpmSZKQk5MDABg9erTDr6LeeWInnt76NCqNlQDaX6+HqwdmDJ+BZ294FnpXZW5eSaWFHeWV5mH1d6thsVowOHgwREEEYwx1zXXYvH8zBgcNxs3jbnZ4HI2NjQ5vAwCKzxXjL1/9BXXNdRgcNNg2k2hsMeKrI18hJjAG9065V5FYaPjNjr4+8jXqW+oRMSACotD+1gqCAH8vfwgQ8En2Jw4fEus4H3nkyJEOn6LelrcNVQ1VGBQwqEtbBg8DPF098XnO52hpVeacD0pkO8orzYOHq0ePkxAGTwPO1p1FfUu9Q2PouEKk4xxgRzpRfgIuoovtQ9uZwdOAmoYalNWXOTSGDpTIduSt90ab3Nbj79qkNriILtC78HPDcy+9FyQm9fg7q2SFi84F7q7uisRCiWxH0y6bBlmWYbFauuyXmYz65npMHToVXnovh8bAGENtbS1qa2sdPhoyOX4yXEQXNLc2d4uhqqEKoyJHIdzP/rOXPaFEtqNrR1yLMVFjUFhTiOqGapjbzKhvrkd+ZT4G+g3EHal3ODwGWZaRm5uL3Nxch9fjV8ZfiUlxk1BSV4JKUyXMbWaYWkzIr8pHoHcg7pl8j2LnelAi25GPuw9eueUV3JpyK0RBRFVDFcxtZkxNmIrXbn0NQ0OHKhOHjw98fHwc3o6bixv+NvdvuPOKO6F30aOqoQqNlkZMiJ2AdfPXITk62eExdKBx5E7sec1edUM1yo3l8HX3xaCAQU51FtrFqGuqQ3FdMbzcvBAbFKv466VE7sRRF58Sx3OK0qKwsBBLlixBTEwMPDw8MHjwYKxatarb8qlHjx7FpEmT4O7ujsjISLz00ksqRUyU5hQzeydOnIAsy3jzzTcxZMgQ5OXl4e6770ZTUxPWrFkDoL03nT59OqZNm4Y33ngDubm5uOuuu+Dn54d77rlH5VegHEmScOTIEQBAUlKSZhb6dtrlAF566SUWExNj+/fGjRvZgAEDulx2//jjj7OhQ4f2+piOWg5ASVarle3cuZPt3LlT1eUAlOYUpUVPjEajbY0zAMjIyMDkyZO7XHY/Y8YM/Prrr6irq+vxGBaLBSaTqcuPsxNFEYmJiUhMTHTaq6gvhlO+0vz8fKxfvx5Lly617auoqEBISEiXx3X8u+Py8v+1evVq2xXHBoMBkZGRjgtaIYIgIDAwEIGBgdyPlHSmaiL/+c9/hiAIF/zpWCK1Q2lpKWbOnIl58+bh7rvvvqT2V65cCaPRaPspLi6+pOMR9aj6Ze+RRx7pshZYT2JjY23bZWVlmDp1Ki6//HK89dZbXR4XGhqKysrKLvs6/n2+FW/0ej30en7OfQDap4eNRiMAOPXaFn2laiIHBQX1ejHq0tJSTJ06FWPHjkVaWlq3+i81NRVPPPEE2tra4OrqCqD9ytyhQ4diwIABdo+9v5JlGYcPHwYATJo0STOjFk5RI5eWlmLKlCmIiorCmjVrUF1djYqKii6172233QY3NzcsWbIEv/zyC7Zs2YJXX30VK1asUDFydXh6esLT01PtMJSl9rBJb6SlpTEAPf50duTIETZx4kSm1+vZwIED2YsvvtindngYftMqmqLuhKaonZdTlBaE/BanmKImvSdJEvLy8gAAiYmJmvmyR4nMofPNZPKMEpkzoijisssus21rBSUyZwRB6DZVrwXa+cgSrlGPzBnGGBoaGgC0X7unlSlq6pE5I8syDh06hEOHDjnVQt+XinpkDrm7K7MoSn9CicwZnU6HCRMmqB2G4qi0IFygRCZcoNKCMx13dQKAYcOGaWZShBKZM4wx1NTU2La1ghKZM4IgID4+3ratFZTInBFF0SE3ouzvtFFAEe5Rj8wZxhiam9sX3vb09NRMeUE9MmdkWUZWVhaysrJoipo4t47lELSELj7thC4+dV5UWhAuUCITLlCNzBlZlm0LPyYkJGhmilobr1JDGGOoqqpCVVUVTVET5yUIAoYMGWLb1gpKZM6IooiIiAi1w1AclRYKaGxsxKpVqzBz5kzbzc43bdqkdlgO1dvXfODAAfzxj3/E2LFj4erqetF/RSiRFVBTU4Nnn30Wx48fR1JSkkPbYozBbDbDbDarWiP39jV/9913ePvttyEIQpdF3fuKElkBYWFhKC8vR1FREV5++WWHtiXLMjIzM5GZmanqFHVvX/N9990Ho9GI7OxsXHPNNRfdHtXICtDr9ee9/YMj9Icht96+ZnutikSJzBmdTofJkyerHYbi1P/oEmIHlMiEC1RacEaWZZw6dQoAEBcX1y/qZSVo41VqCGMM5eXlKC8vpylq4rwEQUBMTIxtWysokTkjiiIGDRqkdhiKo0R2gLqmOuw4sQNl9WXwdffF1ISp2PrhVtTX16OsrAwAsHXrVpSUlAAAli9fDoPBoGbIl6TB3ICfTvyEotoieLp5YnLcZMSHxmPDhg2/+ZqLiorw3nvvAQCys7MBAH/9618BAIMGDcIdd9zRqxjoUqdO7HGp084TO/HcN8+h3FgOAQJkyDB4GJD/Wj7OVZ7r8TkFBQWIjo6+hMj/izGGtrY2ALikcxd662DRQTzxxRM4W3sWDAyMMfi4++CmsTfh9fteR1FRUY/P63jNu3btwtSpU3t8zJVXXoldu3b1Kg5K5E4uNZHzq/Kx+F+LUd9Sj0j/SLiILpCZjCpTFSxWC174/Qu4Pul6B0T+X5IkIT09HYDj70VdZarCbW/fhtK6UgwKGARXnSsYY6htqoWpxYQ/X/tn3JHaux71UtGohR19ffhrVDdWIzogGi5ie9UmCiJCDaGQZAkfZX3E1UjCtrxtKKkrQUxgDFx17VduC4KAQO9AuOhc8NGBj9BqbVUkFqqR7ehg0UG4u7r3+Od8gOcA5Fflo765HgO8BjgsBp1OhylTpjjs+J0dLTkKESJ0Yvde39/THxWmCpTUlSA26OLPaust6pHtSO+qhyRLPf5OkiWIgggXHT99h95FD4ae/8JI7P+/XlGZ10uJbEdT4qfAKlvRJrV12c8Yw7nmc5gQOwE+7j4qRWd/qYNTIQgCzG3mLvsZY6huqMZlYZch0j9SkVgoke3o+qTrkRCagIKaAtQ310OSJTRZmnC6+jQCvQOxMHWhw2OQZRn5+fnIz893+PnIVydcjTFRY3C29izONZ2DJEtoaW1BYW0hfNx9sGTiEsUmZSiR7cjfyx+v3fIarkq4Ci1t7f+h55rOIXFgIl6+6WWMihrl8BgYYygpKUFJSYnDv1h66j2x9ua1mJ00G21SGwprC1HVUIXBQYPx19/9FVcOvdKh7XdGw2+d2GvJLMYY8qvyUVpfCoOHASMjRvb4hcgRZFlGYWEhACA6Olqxk4YKawptEyJJkUlwc3FTpN0OlMid0NpvzotKC8IFfsaCCID2sqbjS54oipo5A456ZM7Isoz09HSkp6draqFvSmTCBSotOCOKIiZNmmTb1gpKZM4IguDQM976K+18ZAnXqEfmjFoTImrTxqvUEMYYzp49i7Nnz3J17vNvoR6ZM4Ig2NZH1soYMkCJzB1RFG0r1msJlRaEC5TIhAtUWnBGyauo+xPqkQkXqEfmjCiKuPzyy23bWkGJzBlBEODmpuzVGf2Bdj6yhGvUI3NGlmUUFxcDACIjIzVTXlAic4YxhoKCAgDQ1B1QKZE5IwgCwsLCbNtaQYnMGVEUMXToULXDUJw2CijCPUpkwgUqLTgjSRL27t0LALjiiis0M0VNicwhLS0D0IESmTOiKGLChAm2ba2gROaMIAhwd3dXOwzFaecjS7hGPTJnZFm23dcuPDxcM+UFJTJnGGPIz88HANsMnxZQInNGEAQEBwfbtrWCEpkzoihi2LBhaoehOG0UUIR7lMiEC1RacEaSJGRmZgIAJkyYQFPUxHm1tbX99oM4Q4nMGVEUMW7cONu2VmjnlarMYrHg8ccfR3h4ODw8PDB+/Hhs377d7u0IggAvLy94eXmpOvzW2NiIVatWYebMmfD394cgCNi0aVOPjz1+/DhmzpwJb29v+Pv744477kB1dXXfGmTExmg0MgDMaDTa/di33HILc3FxYY8++ih78803WWpqKnNxcWHp6el2b6s/KCgoYABYVFQUmzJlCgPA0tLSuj2uuLiYBQYGssGDB7NXX32VPf/882zAgAEsKSmJWSyWXrdHidyJoxJ5//79DAB7+eWXbftaWlrY4MGDWWpqql3bkiSJlZaWstLSUiZJkl2P3Rdms5mVl5czxhjLyso6byLfd999zMPDgxUVFdn2bd++nQFgb775Zq/bo9JCAZ9++il0Oh3uuece2z53d3csWbIEGRkZtsv37YExhpMnT+LkyZOqLvSt1+sRGhr6m4/77LPPcP311yMqKsq2b9q0aYiPj8fHH3/c6/YokRWQk5OD+Pj4brcFTklJAQAcPnzYbm0JgoDAwEAEBgb2+ynq0tJSVFVVITk5udvvUlJSkJOT0+tj0aiFAsrLy3s8gadjX8fZavYgiiISExPtdjxHKi8vB9DzyU1hYWE4d+4cLBYL9Hr9bx6LemQFtLS09Pif0XECfEtLi9Ih9Qsdr9se7w0lsgI8PDxgsVi67Tebzbbfa1HH67bHe0OlhQLCwsJQWlrabX/Hn9bw8HC7tSVJErKysgAA48aN69dT1B0lRcf70Fl5eTn8/f17VVYA1CMrYtSoUTh58iRMJlOX/fv377f93p7MZrOtR+vPBg4ciKCgIGRnZ3f73YEDB/r0vlAiK+Cmm26CJEl46623bPssFgvS0tIwfvx4REZG2q0tURQxZswYjBkzximmqOfOnYtvvvmmyxDkjh07cPLkScybN6/Xx6HSwgEsbRbsyd+Dsvoy+Hr4YlLiJMybNw8rV65EVVUVhgwZgnfffReFhYV455137Nq2IAjdhvkcrc3ahswzmSisLYSX3gsTh0xEsG8wNmzYgPr6etuozNatW1FSUgIAWL58OQwGA/7v//4Pn3zyCaZOnYoHH3wQjY2NePnllzFixAjceeedvY5BYGqOmvczJpMJBoMBRqPxopPhYNFBPP310yioKbAtlBLkG4R7Lr8Hh788jPfffx91dXUYOXIknnvuOcyYMcOOr0B5v1b8iie/fBInyk/AKlsBAP5e/rjrirvw3B3PoaioqMfnFRQUIDo6GgDwyy+/YMWKFdizZw/c3Nwwa9Ys/P3vf0dISEiv46BE7uRSE7n4XDEWpy1GWX0ZIgdEQu+qh1W2ory+HDpRhzXz1mBqwlQHRP5fjDFUVVUBAIKDgx06KVLXVIfb37kdp6tOI2JABDzcPCDJEqoaqmCxWvD07Kcxd+xch7XfWf8vopzI1iNbUVJXgtjAWOhd279tu4guiPSPREtrCzbv3+zwaWNZlnH8+HEcP37c4Utn/fDLDzhTfQYxgTHwcGsfJtOJOoQZwgAGbN6/GVbJ6tAYOlAi21HmmUzoXfQ9fska4DUAeaV5MLYYHR7HgAEDMGDAAIe3c7DoIADARdf9q1aAdwCKaotw9txZh8cB0Jc9uxIEAQw997iMMQiCAAGOPf9Bp9MhKSnJoW10EIXz94Md78OFHmPXWBRpRSMmDpmINqkNkix12c8Yw7nmcxgdORq+HsqOKDjSuJhxECCg1dra7Xe1jbUYEjwEkf72G1q8EEpkO5qdNBvRAdE4U3MGTZYmAECrtRVFtUXwdffF7RNu7/dnpPXF9GHTkRCWgMLaQjSYG8AYQ5vUhuJzxXDVuWJh6kLoRGVmFmnUohN7DL8dKzuGZ7Y+gxPlJ9AqtUIUREQMiMBD0x7CtSOutXPE3UmShIMH22vXsWPHOnyKurCmEE9//TSOlByBuc0MAQJCDaFYeuVS3Jx8s2IfXErkTuyRyAAgyRKyC7NtEyKpsanw1HvaMdILtK3CTdUZYzhcfBiFNe0TIhNiJyheQlEid2KvRFYTYwxGY/vIiMFg4KqUuRAateCMIAjw8/NTOwzF0Zc9wgXqkTnDGENtbS0AICAgQDOlBfXInJFlGXl5ecjLy9PU3Z2oR+aQs35RvRSUyJzR6XQYM2aM2mEojkoLwgVKZMIFKi04I0mSbeWiUaNG9eurqO2JEplDDQ0NaoegOEpkzoiiiBEjRti2tYISmTOCICAgIEDtMBSnnY8s4Rr1yJxhjKGurg5A+7V7NEVNnJIsyzh69CiOHj1KU9TEuXl7e6sdguIokTmj0+l6XAGed1RaEC5QIhMuUGnBGUmSkJubCwAYMWIETVET51VfX692CIqjROaMKIoYNmyYbVsrKJE5IwgCgoOD1Q5Dcdr5yBKuUY/MGcaY7aY7vr6+NEVNnJMsy8jJyUFOTg5NURPnpsUbUFIic0an02H8+PFqh6E4Ki0IFyiRCReotOBMx5JZAJCYmKiZSRFKZM4wxnDu3DnbtlZQInNGEAQkJCTYtrWCEpkzoigiNDRU7TAUp40CinCPemTOMMbQ1NR+azQvLy/NlBfUI3NGlmVkZ2cjOzubpqiJc3Nzc1M7BMXR7ck64eH2ZFpFpQXhgtMlssViwahRoyAIgm0d4A5Hjx7FpEmT4O7ujsjISLz00kvqBEkU53SJ/NhjjyE8PLzbfpPJhOnTp2PQoEE4ePAgXn75ZTz99NN46623VIhSPbIs45dffsEvv/yiqS97TpXI27Ztw3/+8x+sWbOm2+82b96M1tZW/Otf/8Lw4cNxyy234IEHHsDatWtViFQ9jDFUV1ejurpaU1PUTpPIlZWVuPvuu/Hee+/B07P7DcozMjIwefLkLt/YZ8yYgV9//dW2OuX/slgsMJlMXX6cnSAIiIuLQ1xcnGbGkAEnSWTGGBYvXox77733vOuaVVRUICQkpMu+jn9XVFT0+JzVq1fDYDDYfiIjI+0buApEUcTAgQMxcOBAzZz5BqicyH/+858hCMIFf06cOIH169ejoaEBK1eutGv7K1euhNFotP0UFxfb9fhEOapOiDzyyCNYvHjxBR8TGxuLn376CRkZGdDr9V1+l5ycjAULFuDdd99FaGgoKisru/y+49/nO4lGr9d3O6azY4yhpaUFQPu1e1opL1RN5KCgIAQFBf3m41577TX89a9/tf27rKwMM2bMwJYtW2zXp6WmpuKJJ55AW1sbXF1dAQDbt2/H0KFDMWDAAMe8gH5IlmUcOHAAADBp0iRa+60/iYqK6vLvjoWsBw8ejIiICADAbbfdhmeeeQZLlizB448/jry8PLz66qtYt26d4vGqzcXFKf5b7YqbV2wwGPCf//wH999/P8aOHYvAwED85S9/wT333KN2aIrS6XSYOHGi2mEojs616ITOtXBe2hmfIVzjprQg7WRZxsmTJwEA8fHxmhlL1sar1BDGGCoqKlBRUaGpKWrqkTkjCAJiY2Nt21pBicwZURS7DVdqAZUWhAvUI3OGMYbW1lYA7dfuaaW8oB6ZM7IsIyMjAxkZGZo6sZ56ZA5ppRfujGb2OqGZPedFpQXhAiUy4QLVyJyRZRn5+fkAgCFDhtAUNXFOjDGUlZWhrKyMpqiJ8xIEAdHR0bZtraBE5owoirZE1hIqLQgXqEfmDGMMkiQBaL/sSSvlBfXInJFlGXv27MGePXs0NUVNiUy4QFPUnfAwRc0Ysw27dazWpAVUI3NGS8nbGZUWhAvUI3NGlmUUFBQAAGJiYmiKmjgnxhiKi4tRXFxMU9TEeQmCYFvnWUu1MiUyZ0RRxODBg9UOQ3FUWhAuUI/MGRpHJlyQZRnp6ekAtLXQN5UWhAvUI3NGFEXbQt9aGUMGKJG5IwiCJm+9oJ2PLOGa9j66nJNlGWfPngXQfhMhrZQXlMicYYyhsLAQALi4k2tvUSJzRhAEhIeH27a1ghKZM6IoIj4+Xu0wFKeNAopwjxKZcIFKC85IkoQ9e/YAACZOnKiZKWpKZA5p6YT6DpTInBFFEampqbZtraBE5owgCNDr9WqHoTjtfGQJ16hH5owsyygpKQEAREREaKa8oETmDGMMZ86cAQAMHDhQ5WiUQ4nMGUEQEBoaatvWCkpkzoiiiISEBLXDUJw2CijCPUpkwgUqLTgjSRIyMjIAAKmpqTRFTZyX1WpVOwTFUSJzRhRFpKSk2La1ghKZM4IgwNPTU+0wFKedjyzhGvXInJFlGeXl5QCAsLAwzZQXlMicYYzh1KlTAGCb4dMCSmTOCIKAoKAg27ZWUCJzRhRFDB8+XO0wFKeNAopwjxKZcIFKC85IkoT9+/cDAMaPH09T1MR5tba2qh2C4iiROSOKIpKTk23bWkGJzBlBEODt7a12GIrTzkeWcI16ZM7IsoyqqioAQHBwsGbKC0pkzjDGcOLECQCwzfBpASUyZwRBgL+/v21bKyiROSOKIkaOHKl2GIrTRgFFuEeJTLhApQVnJElCdnY2ACA5OZmmqInzamlpUTsExVEic0YURYwePdq2rRWUyJwRBAEGg0HtMBSnnY8s4Rr1yJxhjKG6uhpA+8yeViZFqEfmjCzLOHbsGI4dOwZZltUORzHUI3PIz89P7RAUR4nMGZ1Oh1GjRqkdhuKotCBcoEQmXKDSgjOSJCEnJwcAMHr0aJqiJs6rsbFR7RAUR4nMmc7nI9MUNXFana8Q0RLtfGQJ16hH5gxjDOfOnQMA+Pv70xQ1cU6yLCM3Nxe5ubk0RU2cm4+Pj9ohKI4SmTM6nQ5jx45VOwzFUWlBuECJTLhApQVnJEnCkSNHAABJSUk0RU2cl8lkUjsExVEic0YURSQmJtq2tYISmTOCICAwMFDtMBSnnY8s4Rr1yJxhjMFoNAIADAYDTVET5yTLMg4fPozDhw/TFDVxbp6enmqHoDhKZM7odDqkpKSoHYbiqLQgXKBEJlyg0oIzkiQhLy8PAJCYmEhT1MR51dXVqR2C4iiROSOKIi677DLbtlZQInNGEASEhISoHYbitPORJVyjHpkzjDE0NDQAaL92j6aoiVOSZRmHDh3CoUOHaIqaODd3d3e1Q1AcJTJndDodJkyYoHYYiqPSgnCBEplwgUoLznTc1QkAhg0bpplJEUpkzjDGUFNTY9vWCkpkzgiCgPj4eNu2VlAic0YURYSHh6sdhuIokftAlmW0traqHYYi3NzcnKq+pkTupdbWVhQUFDjFbFlHjJeSiKIoIiYmBm5ubvYKy6EokXuBMYby8nLodDpERkb2656KMYbm5mYA7RehXkydLMsyysrKUF5ejqioKKeotSmRe8FqtaK5uRnh4eH9/gplxhgkSQLQPlV9sUkYFBSEsrIyWK1WuLq62jNEh6BE7oWOxHCGP7OCIMDb2/uSj9PxWiVJcopE7r9/I/shZ/gTay/O9lopkfux+vp6vPjii2qH4RQoke2spbUF3+V+hzU/rMFbu9/CmeozF32si0lkxhhaWlrQ0tKiqZk9SmQ7qmuqw33v34dHP3kUb6e/jbX/WYsFby/AN0e++c3nLliwAMnJyRg5ciRmzZqFiooK3HvvvWhoaMCoUaOQnJwMAMjPz8e0adMwcuRIjBo1Cl9++aXtGIIg4Pnnn8ekSZOQkJCAL7/8EqtXr0ZycjLi4uKwa9cuAEB1dTWmT5+OESNGYOTIkbjzzjsd8XYoixEbo9HIADCj0dhlf0tLCzt27BhraWm54PPXbV/H4p+IZ1f//Wp2/WvXs1mvzmIjVo1gk/42idU01FzwuVVVVbbt1atXs6VLl7KCggJmMBi6PC4lJYW98cYbjDHGTp48yfz9/VlhYSFjjDEAbN26dcxisbBt27YxLy8vlpaWxhhj7OOPP2bJycmMMcbWrl3L7rnnHtsxa2tru8XT29fcX1CPbEfb8rbBy80LHq4eANp7yIgBEahpqEHmmcwLPveDDz5AcnIyEhMT8fbbb+Pw4cPdHtPQ0IBDhw5hyZIlAIC4uDhMnDgR6enptsfccsstcHNzQ2pqKpqamnDLLbcAAFJSUnDq1CkAwIQJE7Bt2zY88sgj+Oqrr+Dl5WWPl68qSmQ7skrWbpMlgiCAgcEqW8/7vD179uC1117Dd999h7y8PKxduxZms7lXbf7v6ELHZU4dKwx1/rfV2h5DamoqDh8+jPHjx+Pzzz/HuHHjbEOMzooS2Y6mDp0KU4sJVum/SVtpqoTBw4DkQcnnfV5dXR18fHwQEBCA1tZWvPnmmwAAX19ftLS02M7v8PHxwZgxY5CWlgagvV7es2cPJk+ebDsWYwyyLF9wKr2goADe3t64+eabsX79epw8eRKNjY2X9NrVRhMidrTo8kU4UHAAJytPQqfTQZIleLh6YOnkpRg4YOB5nzdz5ky8//77GDp0KAICAjBt2jSUlpbC398fCxcuxMiRI+Ht7Y3s7Gxs3rwZ9957LzZs2ABBEPD2228jKiqqy/GamprQ1NR03vZ27dqFtWvX2nrpl19+GQaDwW7vgxoExjQ0RvMbTCYTDAYDjEYjfH19bfvNZjMKCgoQExPzm1coV5mq8OXhL5FzNgcBXgGYMXwGJsZNVGyCgTFm6129vb0vut2+vOb+gHpkOwv2DcY9k+9RrX1BEDR5U3WqkQkXKJEJF6i06ANn+DrBGIPFYgEA6PX6i66RneG1dkaJ3Auurq4QBAHV1dUICgrq12eGsU4n1jPGLipWxhiqq6shCIJTnMIJUCL3ik6nQ0REBEpKSlBYWKh2OBfEOp1Yr9PpLvpDJwgCIiIinObWDZTIveTt7Y24uDi0tbWpHYoiXF1dnSaJAUrkPtHpdE71n6sllMicYYzZ/mp01PZaQMNvnJFlGfv27cO+ffucYukCe6EeuZOOISeTyaRyJBdPkiTbeRYmk8npS6He3j6CErmTjntvREZGqhwJ6fC/572cD5001EnHwiS/1QuYTCZERkaiuLi4V2+y0niKj3rkiyCKIiIiInr9eF9f336ZKB20FB992SNcoEQmXKBEvgh6vR6rVq2CXq9XO5QeaTE++rJHuEA9MuECJTLhAiUy4QIlMuECJfIlio6OhiAIXX7UXAr2H//4B6Kjo+Hu7o7x48fjwIEDqsXS2dNPP93tfUpISLDb8Wlmzw6effZZ3H333bZ/q3U5/pYtW7BixQq88cYbGD9+PF555RXMmDEDv/76K4KDg1WJqbPhw4fjxx9/tP3bxcV+6Uc9sh34+PggNDTU9qPWooBr167F3XffjTvvvBPDhg3DG2+8AU9PT/zrX/9SJZ7/5eLi0uV9CgwMtNuxKZHt4MUXX0RAQABGjx6Nl19+2bZYoJJaW1tx8OBBTJs2zbZPFEVMmzYNGRkZisfTk1OnTiE8PByxsbFYsGABzp49a7djU2lxiR544AGMGTMG/v7+2LdvH1auXIny8nKsXbtW0ThqamogSRJCQkK67A8JCcGJEycUjaUn48ePx6ZNmzB06FCUl5fjmWeewaRJk5CXl2efUkzxFZmdwOOPP84AXPDn+PHjPT73nXfeYS4uLsxsNisac2lpKQPA9u3b12X/n/70J5aSkqJoLL1RV1fHfH192dtvv22X41GP3INHHnkEixcvvuBjYmNje9w/fvx4WK1WFBYWYujQoQ6IrmeBgYHQ6XSorKzssr+yshKhoaGKxdFbfn5+iI+PR35+vl2OR4ncg6CgIAQFBV3Ucw8fPgxRFBUfJXBzc8PYsWOxY8cO/O53vwPQfqHAjh07sGzZMkVj6Y3GxkacPn0ad9xxh30OaJd+XaP27dvH1q1bxw4fPsxOnz7N3n//fRYUFMQWLlyoSjwfffQR0+v1bNOmTezYsWPsnnvuYX5+fqyiokKVeDp75JFH2K5du1hBQQHbu3cvmzZtGgsMDOxy75RLQYl8CQ4ePMjGjx/PDAYDc3d3Z5dddhl74YUXFK+PO1u/fj2Liopibm5uLCUlhWVmZqoWS2fz589nYWFhzM3NjQ0cOJDNnz+f5efn2+34dBon4QKNIxMuUCITLlAiEy5QIhMuUCITLlAiEy5QIhMuUCITLlAiO6l33nkH06dPd3g733//PUaNGtXv11qmRHZCZrMZTz31FFatWuXwtmbOnAlXV1ds3rzZ4W1dCkpkJ/Tpp5/C19cXV1xxhSLtLV68GK+99poibV0sSmQVVVdXIzQ0FC+88IJt3759++Dm5oYdO3ac93kfffQRZs+e3WXflClT8NBDD3XZ97vf/a7LedXR0dH461//ioULF8Lb2xuDBg3C119/jerqatxwww3w9vbGyJEjkZ2d3eU4s2fPRnZ2Nk6fPn3xL9bBKJFVFBQUhH/96194+umnkZ2djYaGBtxxxx1YtmwZrr766vM+b8+ePUhOTr6oNtetW4crrrgCOTk5mDVrFu644w4sXLgQt99+Ow4dOoTBgwdj4cKFXe58GhUVhZCQEKSnp19Um0qgRFbZddddh7vvvhsLFizAvffeCy8vL6xevfq8j6+vr4fRaER4ePhFt7d06VLExcXhL3/5C0wmE8aNG4d58+YhPj4ejz/+OI4fP97tSpPw8HAUFRVdVJtKoETuB9asWQOr1YpPPvkEmzdvvuByqy0tLQAAd3f3i2pr5MiRtu2OC1VHjBjRbV9VVVWX53l4eNhuDdwfUSL3A6dPn0ZZWRlkWf7NWwQHBARAEATU1dX95nE7buXbWed7S3fcm6Onff873Hbu3LmLvvxLCZTIKmttbcXtt9+O+fPn47nnnsMf/vCHbr1hZ25ubhg2bBiOHTvW7Xf/Ww6cOXPGLjGazWacPn0ao0ePtsvxHIESWWVPPPEEjEYjXnvtNTz++OOIj4/HXXfddcHnzJgxA3v27Om2/6uvvsLnn3+O06dP4/nnn8exY8dQVFSE0tLSS4oxMzMTer0eqampl3QcR6JEVtGuXbvwyiuv4L333oOvry9EUcR7772H9PR0vP766+d93pIlS/Ddd9/BaDR22T9r1iy89NJLGDZsGHbv3o2NGzfiwIEDeO+99y4pzg8//BALFiyAp6fnJR3HkeiaPSc1b948jBkzBitXrgTQPo48atQovPLKK3Ztp6amBkOHDkV2djZiYmLsemx7oh7ZSb388svw9vZ2eDuFhYXYuHFjv05igHpkbjiqR3YWlMiEC1RaEC5QIhMuUCITLlAiEy5QIhMuUCITLlAiEy5QIhMu/D/2/fZoeJRT7QAAAABJRU5ErkJggg==", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# Parameters for the system\n", - "N = 10 # number of atoms in a line\n", - "R1 = 7.5 # vertical distance between atoms in a single chain\n", - "lam = 1\n", - "R2 = R1/(lam**(1/6)) # # Horizontal distance between the two parallel chains of atoms\n", - "\n", - "U1 = VD.interaction_coeff/R1**6 #interaction with nearest neighbors in the same line\n", - "U2 = VD.interaction_coeff/R2**6 #interacion between atoms across two paralell lines\n", - "U3 = VD.interaction_coeff/(np.sqrt(R1**2+R2**2))**6 # interaction between diagonal neighbors\n", - "U4 = VD.interaction_coeff/(2*R1)**6 # second-nearest neighbors interaction in the same line\n", - "U5 = VD.interaction_coeff/(np.sqrt(4*R1**2+R2**2))**6 # second-nearest interaction across lines\n", - "\n", - "coords_exact = chain_coordinates(N,R1,R2) # generate the coordinates of the atoms\n", - "\n", - "hx = 1 \n", - "hz = 0 \n", - "\n", - "t = 4000 # duration of the sequence\n", - "dt = 10 # time step\n", - "\n", - "NN_coeff = U1/4\n", - "omega = 2*hx*NN_coeff\n", - "delta = (-2*hz*NN_coeff+U1+U2/2+U3+U4+U5) #compensate the interaction shift\n", - "T = t/1000*NN_coeff\n", - "dT = dt/1000*NN_coeff\n", - "\n", - "\n", - "# pulser register\n", - "qubits = dict(enumerate(coords_exact))\n", - "reg0 = Register(qubits)\n", - "reg0.draw()\n", - "\n", - "#pulser sequence\n", - "seq = Sequence(reg0, VD)\n", - "seq.declare_channel(\"rydberg\", \"rydberg_global\")\n", - "simple_pulse = Pulse.ConstantPulse(t, omega, delta, 0)\n", - "seq.add(simple_pulse, \"rydberg\")\n", - "seq.draw()\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "#### SVBackend, SVConfig and operators \n", - "\n", - "In order to run a sequence, you need to instanciate *SVBackend* and *SVConfig*. This goes in a similar way of __EMU_MPS__. " - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "step = 1/400, RSS = 819.108 MB, Δt = 0.336 s\n", - "step = 2/400, RSS = 868.164 MB, Δt = 0.328 s\n", - "step = 3/400, RSS = 868.164 MB, Δt = 0.351 s\n", - "step = 4/400, RSS = 884.564 MB, Δt = 0.314 s\n", - "step = 5/400, RSS = 884.564 MB, Δt = 0.327 s\n", - "step = 6/400, RSS = 884.564 MB, Δt = 0.321 s\n", - "step = 7/400, RSS = 884.564 MB, Δt = 0.345 s\n", - "step = 8/400, RSS = 884.564 MB, Δt = 0.342 s\n", - "step = 9/400, RSS = 884.564 MB, Δt = 0.373 s\n", - "step = 10/400, RSS = 884.564 MB, Δt = 0.356 s\n", - "step = 11/400, RSS = 884.564 MB, Δt = 0.352 s\n", - "step = 12/400, RSS = 884.564 MB, Δt = 0.359 s\n", - "step = 13/400, RSS = 884.564 MB, Δt = 0.351 s\n", - "step = 14/400, RSS = 884.564 MB, Δt = 0.318 s\n", - "step = 15/400, RSS = 884.564 MB, Δt = 0.326 s\n", - "step = 16/400, RSS = 884.564 MB, Δt = 0.328 s\n", - "step = 17/400, RSS = 884.564 MB, Δt = 0.316 s\n", - "step = 18/400, RSS = 884.564 MB, Δt = 0.298 s\n", - "step = 19/400, RSS = 884.564 MB, Δt = 0.281 s\n", - "step = 20/400, RSS = 884.564 MB, Δt = 0.273 s\n", - "step = 21/400, RSS = 884.564 MB, Δt = 0.309 s\n", - "step = 22/400, RSS = 884.564 MB, Δt = 0.296 s\n", - "step = 23/400, RSS = 884.564 MB, Δt = 0.299 s\n", - "step = 24/400, RSS = 884.564 MB, Δt = 0.305 s\n", - "step = 25/400, RSS = 884.564 MB, Δt = 0.314 s\n", - "step = 26/400, RSS = 884.564 MB, Δt = 0.296 s\n", - "step = 27/400, RSS = 884.564 MB, Δt = 0.300 s\n", - "step = 28/400, RSS = 884.564 MB, Δt = 0.298 s\n", - "step = 29/400, RSS = 884.564 MB, Δt = 0.327 s\n", - "step = 30/400, RSS = 884.564 MB, Δt = 0.310 s\n", - "step = 31/400, RSS = 884.564 MB, Δt = 0.307 s\n", - "step = 32/400, RSS = 884.564 MB, Δt = 0.287 s\n", - "step = 33/400, RSS = 884.564 MB, Δt = 0.301 s\n", - "step = 34/400, RSS = 884.564 MB, Δt = 0.279 s\n", - "step = 35/400, RSS = 884.564 MB, Δt = 0.287 s\n", - "step = 36/400, RSS = 884.564 MB, Δt = 0.310 s\n", - "step = 37/400, RSS = 884.564 MB, Δt = 0.288 s\n", - "step = 38/400, RSS = 884.564 MB, Δt = 0.281 s\n", - "step = 39/400, RSS = 884.564 MB, Δt = 0.275 s\n", - "step = 40/400, RSS = 884.564 MB, Δt = 0.293 s\n", - "step = 41/400, RSS = 884.564 MB, Δt = 0.295 s\n", - "step = 42/400, RSS = 884.564 MB, Δt = 0.286 s\n", - "step = 43/400, RSS = 884.564 MB, Δt = 0.277 s\n", - "step = 44/400, RSS = 884.564 MB, Δt = 0.275 s\n", - "step = 45/400, RSS = 884.564 MB, Δt = 0.326 s\n", - "step = 46/400, RSS = 884.564 MB, Δt = 0.290 s\n", - "step = 47/400, RSS = 884.564 MB, Δt = 0.286 s\n", - "step = 48/400, RSS = 884.564 MB, Δt = 0.293 s\n", - "step = 49/400, RSS = 884.648 MB, Δt = 0.303 s\n", - "step = 50/400, RSS = 884.648 MB, Δt = 0.287 s\n", - "step = 51/400, RSS = 884.648 MB, Δt = 0.286 s\n", - "step = 52/400, RSS = 884.648 MB, Δt = 0.289 s\n", - "step = 53/400, RSS = 884.648 MB, Δt = 0.303 s\n", - "step = 54/400, RSS = 884.648 MB, Δt = 0.294 s\n", - "step = 55/400, RSS = 884.648 MB, Δt = 0.288 s\n", - "step = 56/400, RSS = 884.648 MB, Δt = 0.296 s\n", - "step = 57/400, RSS = 884.648 MB, Δt = 0.308 s\n", - "step = 58/400, RSS = 884.648 MB, Δt = 0.290 s\n", - "step = 59/400, RSS = 884.648 MB, Δt = 0.288 s\n", - "step = 60/400, RSS = 884.648 MB, Δt = 0.283 s\n", - "step = 61/400, RSS = 884.648 MB, Δt = 0.307 s\n", - "step = 62/400, RSS = 884.648 MB, Δt = 0.287 s\n", - "step = 63/400, RSS = 884.648 MB, Δt = 0.284 s\n", - "step = 64/400, RSS = 884.648 MB, Δt = 0.310 s\n", - "step = 65/400, RSS = 884.648 MB, Δt = 0.330 s\n", - "step = 66/400, RSS = 884.648 MB, Δt = 0.311 s\n", - "step = 67/400, RSS = 884.648 MB, Δt = 0.315 s\n", - "step = 68/400, RSS = 884.648 MB, Δt = 0.326 s\n", - "step = 69/400, RSS = 884.648 MB, Δt = 0.355 s\n", - "step = 70/400, RSS = 884.648 MB, Δt = 0.334 s\n", - "step = 71/400, RSS = 884.648 MB, Δt = 0.341 s\n", - "step = 72/400, RSS = 884.648 MB, Δt = 0.338 s\n", - "step = 73/400, RSS = 884.648 MB, Δt = 0.352 s\n", - "step = 74/400, RSS = 884.648 MB, Δt = 0.314 s\n", - "step = 75/400, RSS = 884.648 MB, Δt = 0.305 s\n", - "step = 76/400, RSS = 884.664 MB, Δt = 0.312 s\n", - "step = 77/400, RSS = 884.664 MB, Δt = 0.322 s\n", - "step = 78/400, RSS = 884.664 MB, Δt = 0.318 s\n", - "step = 79/400, RSS = 884.664 MB, Δt = 0.312 s\n", - "step = 80/400, RSS = 884.664 MB, Δt = 0.325 s\n", - "step = 81/400, RSS = 884.664 MB, Δt = 0.356 s\n", - "step = 82/400, RSS = 884.664 MB, Δt = 0.354 s\n", - "step = 83/400, RSS = 884.664 MB, Δt = 0.338 s\n", - "step = 84/400, RSS = 884.664 MB, Δt = 0.349 s\n", - "step = 85/400, RSS = 884.664 MB, Δt = 0.359 s\n", - "step = 86/400, RSS = 884.664 MB, Δt = 0.331 s\n", - "step = 87/400, RSS = 884.664 MB, Δt = 0.345 s\n", - "step = 88/400, RSS = 884.664 MB, Δt = 0.342 s\n", - "step = 89/400, RSS = 884.664 MB, Δt = 0.362 s\n", - "step = 90/400, RSS = 884.664 MB, Δt = 0.318 s\n", - "step = 91/400, RSS = 884.664 MB, Δt = 0.301 s\n", - "step = 92/400, RSS = 884.664 MB, Δt = 0.324 s\n", - "step = 93/400, RSS = 884.664 MB, Δt = 0.336 s\n", - "step = 94/400, RSS = 884.664 MB, Δt = 0.291 s\n", - "step = 95/400, RSS = 884.664 MB, Δt = 0.289 s\n", - "step = 96/400, RSS = 884.664 MB, Δt = 0.319 s\n", - "step = 97/400, RSS = 884.664 MB, Δt = 0.333 s\n", - "step = 98/400, RSS = 884.664 MB, Δt = 0.313 s\n", - "step = 99/400, RSS = 884.664 MB, Δt = 0.342 s\n", - "step = 100/400, RSS = 884.664 MB, Δt = 0.357 s\n", - "step = 101/400, RSS = 884.664 MB, Δt = 0.396 s\n", - "step = 102/400, RSS = 884.664 MB, Δt = 0.368 s\n", - "step = 103/400, RSS = 884.664 MB, Δt = 0.345 s\n", - "step = 104/400, RSS = 884.664 MB, Δt = 0.342 s\n", - "step = 105/400, RSS = 884.664 MB, Δt = 0.359 s\n", - "step = 106/400, RSS = 884.664 MB, Δt = 0.333 s\n", - "step = 107/400, RSS = 884.664 MB, Δt = 0.374 s\n", - "step = 108/400, RSS = 884.664 MB, Δt = 0.348 s\n", - "step = 109/400, RSS = 884.664 MB, Δt = 0.356 s\n", - "step = 110/400, RSS = 884.664 MB, Δt = 0.339 s\n", - "step = 111/400, RSS = 884.664 MB, Δt = 0.345 s\n", - "step = 112/400, RSS = 884.664 MB, Δt = 0.338 s\n", - "step = 113/400, RSS = 884.664 MB, Δt = 0.362 s\n", - "step = 114/400, RSS = 884.664 MB, Δt = 0.341 s\n", - "step = 115/400, RSS = 884.664 MB, Δt = 0.339 s\n", - "step = 116/400, RSS = 884.664 MB, Δt = 0.335 s\n", - "step = 117/400, RSS = 884.664 MB, Δt = 0.359 s\n", - "step = 118/400, RSS = 884.664 MB, Δt = 0.305 s\n", - "step = 119/400, RSS = 884.664 MB, Δt = 0.312 s\n", - "step = 120/400, RSS = 884.664 MB, Δt = 0.318 s\n", - "step = 121/400, RSS = 884.664 MB, Δt = 0.326 s\n", - "step = 122/400, RSS = 884.664 MB, Δt = 0.309 s\n", - "step = 123/400, RSS = 884.664 MB, Δt = 0.312 s\n", - "step = 124/400, RSS = 884.728 MB, Δt = 0.309 s\n", - "step = 125/400, RSS = 884.728 MB, Δt = 0.333 s\n", - "step = 126/400, RSS = 884.728 MB, Δt = 0.317 s\n", - "step = 127/400, RSS = 884.728 MB, Δt = 0.325 s\n", - "step = 128/400, RSS = 884.728 MB, Δt = 0.343 s\n", - "step = 129/400, RSS = 884.728 MB, Δt = 0.386 s\n", - "step = 130/400, RSS = 884.728 MB, Δt = 0.352 s\n", - "step = 131/400, RSS = 884.728 MB, Δt = 0.337 s\n", - "step = 132/400, RSS = 884.728 MB, Δt = 0.327 s\n", - "step = 133/400, RSS = 884.728 MB, Δt = 0.335 s\n", - "step = 134/400, RSS = 884.728 MB, Δt = 0.324 s\n", - "step = 135/400, RSS = 884.728 MB, Δt = 0.335 s\n", - "step = 136/400, RSS = 884.728 MB, Δt = 0.280 s\n", - "step = 137/400, RSS = 884.728 MB, Δt = 0.316 s\n", - "step = 138/400, RSS = 884.728 MB, Δt = 0.306 s\n", - "step = 139/400, RSS = 884.856 MB, Δt = 0.293 s\n", - "step = 140/400, RSS = 884.856 MB, Δt = 0.316 s\n", - "step = 141/400, RSS = 884.856 MB, Δt = 0.342 s\n", - "step = 142/400, RSS = 884.856 MB, Δt = 0.330 s\n", - "step = 143/400, RSS = 884.856 MB, Δt = 0.314 s\n", - "step = 144/400, RSS = 884.856 MB, Δt = 0.323 s\n", - "step = 145/400, RSS = 884.856 MB, Δt = 0.347 s\n", - "step = 146/400, RSS = 884.856 MB, Δt = 0.328 s\n", - "step = 147/400, RSS = 884.856 MB, Δt = 0.317 s\n", - "step = 148/400, RSS = 884.856 MB, Δt = 0.322 s\n", - "step = 149/400, RSS = 884.856 MB, Δt = 0.338 s\n", - "step = 150/400, RSS = 884.856 MB, Δt = 0.326 s\n", - "step = 151/400, RSS = 884.856 MB, Δt = 0.339 s\n", - "step = 152/400, RSS = 884.856 MB, Δt = 0.324 s\n", - "step = 153/400, RSS = 884.856 MB, Δt = 0.347 s\n", - "step = 154/400, RSS = 884.856 MB, Δt = 0.339 s\n", - "step = 155/400, RSS = 884.856 MB, Δt = 0.326 s\n", - "step = 156/400, RSS = 884.856 MB, Δt = 0.325 s\n", - "step = 157/400, RSS = 884.856 MB, Δt = 0.357 s\n", - "step = 158/400, RSS = 884.856 MB, Δt = 0.336 s\n", - "step = 159/400, RSS = 884.856 MB, Δt = 0.309 s\n", - "step = 160/400, RSS = 884.856 MB, Δt = 0.327 s\n", - "step = 161/400, RSS = 884.856 MB, Δt = 0.334 s\n", - "step = 162/400, RSS = 884.856 MB, Δt = 0.339 s\n", - "step = 163/400, RSS = 884.856 MB, Δt = 0.347 s\n", - "step = 164/400, RSS = 884.856 MB, Δt = 0.339 s\n", - "step = 165/400, RSS = 884.856 MB, Δt = 0.347 s\n", - "step = 166/400, RSS = 884.856 MB, Δt = 0.328 s\n", - "step = 167/400, RSS = 884.856 MB, Δt = 0.320 s\n", - "step = 168/400, RSS = 884.856 MB, Δt = 0.346 s\n", - "step = 169/400, RSS = 884.856 MB, Δt = 0.366 s\n", - "step = 170/400, RSS = 884.856 MB, Δt = 0.349 s\n", - "step = 171/400, RSS = 884.856 MB, Δt = 0.345 s\n", - "step = 172/400, RSS = 884.856 MB, Δt = 0.320 s\n", - "step = 173/400, RSS = 884.856 MB, Δt = 0.332 s\n", - "step = 174/400, RSS = 884.856 MB, Δt = 0.318 s\n", - "step = 175/400, RSS = 884.856 MB, Δt = 0.316 s\n", - "step = 176/400, RSS = 884.856 MB, Δt = 0.311 s\n", - "step = 177/400, RSS = 884.856 MB, Δt = 0.337 s\n", - "step = 178/400, RSS = 884.856 MB, Δt = 0.285 s\n", - "step = 179/400, RSS = 884.856 MB, Δt = 0.296 s\n", - "step = 180/400, RSS = 884.856 MB, Δt = 0.317 s\n", - "step = 181/400, RSS = 884.856 MB, Δt = 0.332 s\n", - "step = 182/400, RSS = 884.856 MB, Δt = 0.352 s\n", - "step = 183/400, RSS = 884.856 MB, Δt = 0.321 s\n", - "step = 184/400, RSS = 884.856 MB, Δt = 0.312 s\n", - "step = 185/400, RSS = 884.856 MB, Δt = 0.336 s\n", - "step = 186/400, RSS = 884.856 MB, Δt = 0.320 s\n", - "step = 187/400, RSS = 884.856 MB, Δt = 0.314 s\n", - "step = 188/400, RSS = 884.856 MB, Δt = 0.332 s\n", - "step = 189/400, RSS = 884.856 MB, Δt = 0.354 s\n", - "step = 190/400, RSS = 884.856 MB, Δt = 0.317 s\n", - "step = 191/400, RSS = 884.856 MB, Δt = 0.324 s\n", - "step = 192/400, RSS = 884.856 MB, Δt = 0.325 s\n", - "step = 193/400, RSS = 884.856 MB, Δt = 0.338 s\n", - "step = 194/400, RSS = 884.856 MB, Δt = 0.293 s\n", - "step = 195/400, RSS = 884.856 MB, Δt = 0.333 s\n", - "step = 196/400, RSS = 884.856 MB, Δt = 0.318 s\n", - "step = 197/400, RSS = 884.856 MB, Δt = 0.338 s\n", - "step = 198/400, RSS = 884.856 MB, Δt = 0.325 s\n", - "step = 199/400, RSS = 884.856 MB, Δt = 0.315 s\n", - "step = 200/400, RSS = 884.856 MB, Δt = 0.312 s\n", - "step = 201/400, RSS = 884.856 MB, Δt = 0.340 s\n", - "step = 202/400, RSS = 884.856 MB, Δt = 0.313 s\n", - "step = 203/400, RSS = 884.856 MB, Δt = 0.286 s\n", - "step = 204/400, RSS = 884.856 MB, Δt = 0.348 s\n", - "step = 205/400, RSS = 884.856 MB, Δt = 0.343 s\n", - "step = 206/400, RSS = 884.856 MB, Δt = 0.300 s\n", - "step = 207/400, RSS = 884.856 MB, Δt = 0.311 s\n", - "step = 208/400, RSS = 884.856 MB, Δt = 0.311 s\n", - "step = 209/400, RSS = 884.856 MB, Δt = 0.335 s\n", - "step = 210/400, RSS = 884.856 MB, Δt = 0.307 s\n", - "step = 211/400, RSS = 884.856 MB, Δt = 0.312 s\n", - "step = 212/400, RSS = 884.856 MB, Δt = 0.312 s\n", - "step = 213/400, RSS = 884.856 MB, Δt = 0.333 s\n", - "step = 214/400, RSS = 884.856 MB, Δt = 0.316 s\n", - "step = 215/400, RSS = 884.856 MB, Δt = 0.318 s\n", - "step = 216/400, RSS = 884.856 MB, Δt = 0.313 s\n", - "step = 217/400, RSS = 884.856 MB, Δt = 0.388 s\n", - "step = 218/400, RSS = 884.856 MB, Δt = 0.325 s\n", - "step = 219/400, RSS = 884.856 MB, Δt = 0.316 s\n", - "step = 220/400, RSS = 884.856 MB, Δt = 0.323 s\n", - "step = 221/400, RSS = 884.856 MB, Δt = 0.333 s\n", - "step = 222/400, RSS = 884.856 MB, Δt = 0.319 s\n", - "step = 223/400, RSS = 884.856 MB, Δt = 0.320 s\n", - "step = 224/400, RSS = 884.856 MB, Δt = 0.314 s\n", - "step = 225/400, RSS = 884.856 MB, Δt = 0.333 s\n", - "step = 226/400, RSS = 884.856 MB, Δt = 0.327 s\n", - "step = 227/400, RSS = 884.856 MB, Δt = 0.318 s\n", - "step = 228/400, RSS = 884.856 MB, Δt = 0.317 s\n", - "step = 229/400, RSS = 884.856 MB, Δt = 0.332 s\n", - "step = 230/400, RSS = 884.856 MB, Δt = 0.282 s\n", - "step = 231/400, RSS = 884.856 MB, Δt = 0.281 s\n", - "step = 232/400, RSS = 884.856 MB, Δt = 0.286 s\n", - "step = 233/400, RSS = 884.856 MB, Δt = 0.312 s\n", - "step = 234/400, RSS = 884.856 MB, Δt = 0.291 s\n", - "step = 235/400, RSS = 884.856 MB, Δt = 0.294 s\n", - "step = 236/400, RSS = 884.856 MB, Δt = 0.294 s\n", - "step = 237/400, RSS = 884.856 MB, Δt = 0.335 s\n", - "step = 238/400, RSS = 884.856 MB, Δt = 0.319 s\n", - "step = 239/400, RSS = 884.856 MB, Δt = 0.327 s\n", - "step = 240/400, RSS = 884.856 MB, Δt = 0.333 s\n", - "step = 241/400, RSS = 884.856 MB, Δt = 0.335 s\n", - "step = 242/400, RSS = 884.856 MB, Δt = 0.316 s\n", - "step = 243/400, RSS = 884.856 MB, Δt = 0.310 s\n", - "step = 244/400, RSS = 884.856 MB, Δt = 0.310 s\n", - "step = 245/400, RSS = 884.856 MB, Δt = 0.338 s\n", - "step = 246/400, RSS = 884.856 MB, Δt = 0.317 s\n", - "step = 247/400, RSS = 884.856 MB, Δt = 0.314 s\n", - "step = 248/400, RSS = 884.856 MB, Δt = 0.317 s\n", - "step = 249/400, RSS = 884.856 MB, Δt = 0.338 s\n", - "step = 250/400, RSS = 884.856 MB, Δt = 0.315 s\n", - "step = 251/400, RSS = 884.856 MB, Δt = 0.315 s\n", - "step = 252/400, RSS = 884.856 MB, Δt = 0.323 s\n", - "step = 253/400, RSS = 884.856 MB, Δt = 0.333 s\n", - "step = 254/400, RSS = 884.856 MB, Δt = 0.318 s\n", - "step = 255/400, RSS = 884.856 MB, Δt = 0.321 s\n", - "step = 256/400, RSS = 884.856 MB, Δt = 0.315 s\n", - "step = 257/400, RSS = 884.856 MB, Δt = 0.337 s\n", - "step = 258/400, RSS = 884.856 MB, Δt = 0.330 s\n", - "step = 259/400, RSS = 884.856 MB, Δt = 0.331 s\n", - "step = 260/400, RSS = 884.856 MB, Δt = 0.322 s\n", - "step = 261/400, RSS = 884.856 MB, Δt = 0.335 s\n", - "step = 262/400, RSS = 884.856 MB, Δt = 0.313 s\n", - "step = 263/400, RSS = 884.856 MB, Δt = 0.309 s\n", - "step = 264/400, RSS = 884.856 MB, Δt = 0.315 s\n", - "step = 265/400, RSS = 884.856 MB, Δt = 0.328 s\n", - "step = 266/400, RSS = 884.856 MB, Δt = 0.288 s\n", - "step = 267/400, RSS = 884.856 MB, Δt = 0.310 s\n", - "step = 268/400, RSS = 884.856 MB, Δt = 0.323 s\n", - "step = 269/400, RSS = 884.856 MB, Δt = 0.333 s\n", - "step = 270/400, RSS = 884.856 MB, Δt = 0.292 s\n", - "step = 271/400, RSS = 884.856 MB, Δt = 0.293 s\n", - "step = 272/400, RSS = 884.856 MB, Δt = 0.308 s\n", - "step = 273/400, RSS = 884.856 MB, Δt = 0.349 s\n", - "step = 274/400, RSS = 884.856 MB, Δt = 0.317 s\n", - "step = 275/400, RSS = 884.856 MB, Δt = 0.306 s\n", - "step = 276/400, RSS = 884.856 MB, Δt = 0.317 s\n", - "step = 277/400, RSS = 884.856 MB, Δt = 0.335 s\n", - "step = 278/400, RSS = 884.856 MB, Δt = 0.317 s\n", - "step = 279/400, RSS = 884.856 MB, Δt = 0.316 s\n", - "step = 280/400, RSS = 884.856 MB, Δt = 0.319 s\n", - "step = 281/400, RSS = 884.856 MB, Δt = 0.333 s\n", - "step = 282/400, RSS = 884.856 MB, Δt = 0.309 s\n", - "step = 283/400, RSS = 884.856 MB, Δt = 0.313 s\n", - "step = 284/400, RSS = 884.856 MB, Δt = 0.320 s\n", - "step = 285/400, RSS = 884.856 MB, Δt = 0.339 s\n", - "step = 286/400, RSS = 884.856 MB, Δt = 0.321 s\n", - "step = 287/400, RSS = 884.856 MB, Δt = 0.319 s\n", - "step = 288/400, RSS = 884.856 MB, Δt = 0.323 s\n", - "step = 289/400, RSS = 884.856 MB, Δt = 0.337 s\n", - "step = 290/400, RSS = 884.856 MB, Δt = 0.349 s\n", - "step = 291/400, RSS = 884.856 MB, Δt = 0.321 s\n", - "step = 292/400, RSS = 884.856 MB, Δt = 0.325 s\n", - "step = 293/400, RSS = 884.856 MB, Δt = 0.337 s\n", - "step = 294/400, RSS = 884.856 MB, Δt = 0.328 s\n", - "step = 295/400, RSS = 884.856 MB, Δt = 0.319 s\n", - "step = 296/400, RSS = 884.856 MB, Δt = 0.328 s\n", - "step = 297/400, RSS = 884.856 MB, Δt = 0.337 s\n", - "step = 298/400, RSS = 884.856 MB, Δt = 0.320 s\n", - "step = 299/400, RSS = 884.856 MB, Δt = 0.318 s\n", - "step = 300/400, RSS = 884.856 MB, Δt = 0.319 s\n", - "step = 301/400, RSS = 884.856 MB, Δt = 0.337 s\n", - "step = 302/400, RSS = 884.856 MB, Δt = 0.322 s\n", - "step = 303/400, RSS = 884.856 MB, Δt = 0.289 s\n", - "step = 304/400, RSS = 884.856 MB, Δt = 0.293 s\n", - "step = 305/400, RSS = 884.856 MB, Δt = 0.303 s\n", - "step = 306/400, RSS = 884.856 MB, Δt = 0.324 s\n", - "step = 307/400, RSS = 884.856 MB, Δt = 0.322 s\n", - "step = 308/400, RSS = 884.856 MB, Δt = 0.319 s\n", - "step = 309/400, RSS = 884.856 MB, Δt = 0.335 s\n", - "step = 310/400, RSS = 884.856 MB, Δt = 0.339 s\n", - "step = 311/400, RSS = 884.856 MB, Δt = 0.310 s\n", - "step = 312/400, RSS = 884.856 MB, Δt = 0.321 s\n", - "step = 313/400, RSS = 884.856 MB, Δt = 0.336 s\n", - "step = 314/400, RSS = 884.856 MB, Δt = 0.324 s\n", - "step = 315/400, RSS = 884.856 MB, Δt = 0.319 s\n", - "step = 316/400, RSS = 884.856 MB, Δt = 0.311 s\n", - "step = 317/400, RSS = 884.856 MB, Δt = 0.319 s\n", - "step = 318/400, RSS = 884.856 MB, Δt = 0.315 s\n", - "step = 319/400, RSS = 884.856 MB, Δt = 0.321 s\n", - "step = 320/400, RSS = 884.856 MB, Δt = 0.318 s\n", - "step = 321/400, RSS = 884.856 MB, Δt = 0.338 s\n", - "step = 322/400, RSS = 884.856 MB, Δt = 0.315 s\n", - "step = 323/400, RSS = 884.856 MB, Δt = 0.311 s\n", - "step = 324/400, RSS = 884.856 MB, Δt = 0.307 s\n", - "step = 325/400, RSS = 884.856 MB, Δt = 0.327 s\n", - "step = 326/400, RSS = 884.856 MB, Δt = 0.309 s\n", - "step = 327/400, RSS = 884.856 MB, Δt = 0.309 s\n", - "step = 328/400, RSS = 884.856 MB, Δt = 0.312 s\n", - "step = 329/400, RSS = 884.856 MB, Δt = 0.329 s\n", - "step = 330/400, RSS = 884.856 MB, Δt = 0.311 s\n", - "step = 331/400, RSS = 884.856 MB, Δt = 0.306 s\n", - "step = 332/400, RSS = 884.856 MB, Δt = 0.311 s\n", - "step = 333/400, RSS = 884.856 MB, Δt = 0.328 s\n", - "step = 334/400, RSS = 884.856 MB, Δt = 0.325 s\n", - "step = 335/400, RSS = 884.856 MB, Δt = 0.316 s\n", - "step = 336/400, RSS = 884.856 MB, Δt = 0.318 s\n", - "step = 337/400, RSS = 884.856 MB, Δt = 0.334 s\n", - "step = 338/400, RSS = 884.856 MB, Δt = 0.312 s\n", - "step = 339/400, RSS = 884.856 MB, Δt = 0.318 s\n", - "step = 340/400, RSS = 884.856 MB, Δt = 0.315 s\n", - "step = 341/400, RSS = 884.856 MB, Δt = 0.326 s\n", - "step = 342/400, RSS = 884.856 MB, Δt = 0.306 s\n", - "step = 343/400, RSS = 884.856 MB, Δt = 0.304 s\n", - "step = 344/400, RSS = 884.856 MB, Δt = 0.312 s\n", - "step = 345/400, RSS = 884.856 MB, Δt = 0.334 s\n", - "step = 346/400, RSS = 884.856 MB, Δt = 0.303 s\n", - "step = 347/400, RSS = 884.856 MB, Δt = 0.308 s\n", - "step = 348/400, RSS = 884.856 MB, Δt = 0.305 s\n", - "step = 349/400, RSS = 884.856 MB, Δt = 0.324 s\n", - "step = 350/400, RSS = 884.856 MB, Δt = 0.306 s\n", - "step = 351/400, RSS = 884.856 MB, Δt = 0.310 s\n", - "step = 352/400, RSS = 884.856 MB, Δt = 0.309 s\n", - "step = 353/400, RSS = 884.856 MB, Δt = 0.331 s\n", - "step = 354/400, RSS = 884.856 MB, Δt = 0.312 s\n", - "step = 355/400, RSS = 884.856 MB, Δt = 0.283 s\n", - "step = 356/400, RSS = 884.856 MB, Δt = 0.279 s\n", - "step = 357/400, RSS = 884.856 MB, Δt = 0.304 s\n", - "step = 358/400, RSS = 884.928 MB, Δt = 0.292 s\n", - "step = 359/400, RSS = 884.928 MB, Δt = 0.278 s\n", - "step = 360/400, RSS = 884.928 MB, Δt = 0.279 s\n", - "step = 361/400, RSS = 884.928 MB, Δt = 0.310 s\n", - "step = 362/400, RSS = 884.928 MB, Δt = 0.287 s\n", - "step = 363/400, RSS = 884.928 MB, Δt = 0.313 s\n", - "step = 364/400, RSS = 884.928 MB, Δt = 0.302 s\n", - "step = 365/400, RSS = 884.928 MB, Δt = 0.331 s\n", - "step = 366/400, RSS = 884.928 MB, Δt = 0.312 s\n", - "step = 367/400, RSS = 884.928 MB, Δt = 0.307 s\n", - "step = 368/400, RSS = 884.928 MB, Δt = 0.305 s\n", - "step = 369/400, RSS = 884.928 MB, Δt = 0.321 s\n", - "step = 370/400, RSS = 884.928 MB, Δt = 0.301 s\n", - "step = 371/400, RSS = 884.928 MB, Δt = 0.306 s\n", - "step = 372/400, RSS = 884.928 MB, Δt = 0.304 s\n", - "step = 373/400, RSS = 884.928 MB, Δt = 0.328 s\n", - "step = 374/400, RSS = 884.928 MB, Δt = 0.323 s\n", - "step = 375/400, RSS = 884.928 MB, Δt = 0.336 s\n", - "step = 376/400, RSS = 884.928 MB, Δt = 0.294 s\n", - "step = 377/400, RSS = 884.928 MB, Δt = 0.314 s\n", - "step = 378/400, RSS = 884.928 MB, Δt = 0.291 s\n", - "step = 379/400, RSS = 884.928 MB, Δt = 0.306 s\n", - "step = 380/400, RSS = 884.928 MB, Δt = 0.310 s\n", - "step = 381/400, RSS = 884.928 MB, Δt = 0.335 s\n", - "step = 382/400, RSS = 884.928 MB, Δt = 0.289 s\n", - "step = 383/400, RSS = 884.928 MB, Δt = 0.286 s\n", - "step = 384/400, RSS = 884.928 MB, Δt = 0.290 s\n", - "step = 385/400, RSS = 884.928 MB, Δt = 0.295 s\n", - "step = 386/400, RSS = 884.928 MB, Δt = 0.283 s\n", - "step = 387/400, RSS = 884.928 MB, Δt = 0.280 s\n", - "step = 388/400, RSS = 884.928 MB, Δt = 0.314 s\n", - "step = 389/400, RSS = 884.928 MB, Δt = 0.329 s\n", - "step = 390/400, RSS = 884.928 MB, Δt = 0.295 s\n", - "step = 391/400, RSS = 884.928 MB, Δt = 0.290 s\n", - "step = 392/400, RSS = 884.928 MB, Δt = 0.310 s\n", - "step = 393/400, RSS = 884.928 MB, Δt = 0.328 s\n", - "step = 394/400, RSS = 884.928 MB, Δt = 0.316 s\n", - "step = 395/400, RSS = 884.928 MB, Δt = 0.322 s\n", - "step = 396/400, RSS = 884.928 MB, Δt = 0.325 s\n", - "step = 397/400, RSS = 884.928 MB, Δt = 0.340 s\n", - "step = 398/400, RSS = 884.928 MB, Δt = 0.317 s\n", - "step = 399/400, RSS = 884.928 MB, Δt = 0.322 s\n", - "step = 400/400, RSS = 884.928 MB, Δt = 0.310 s\n" - ] - } - ], - "source": [ - "# emu-sv backendsd\n", - "sim = emu_sv.SVBackend()\n", - "\n", - "basis = (\"r\",\"g\",)\n", - "density = QubitDensity(evaluation_times=[x for x in range(dt, t, 4*dt)], basis=basis, nqubits=2*N) \n", - "\n", - "#emu-sv config\n", - "svconfig = emu_sv.SVConfig(dt=dt,observables=[density]) # gpu = True\n", - "#svconfig = emu_sv.SVConfig(gpu=True,dt=dt,observables=[density]) \n", - "\n", - "results = sim.run(seq,svconfig)\n", - "magnetization_values = np.array(list(results[density.name].values()))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Plot the evolution of the qubit density $n_i$ of all the atoms" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "times = np.arange(4*dt,t+dt,4*dt)\n", - "\n", - "plt.figure(figsize=(10, 6)) \n", - "\n", - "for i in range(2*N):\n", - " result_plot = np.array(magnetization_values)[:,i]\n", - " plt.plot(times,2*result_plot-1,label=f'atom {i}')\n", - "\n", - "plt.title('Qubit Density Evolution')\n", - "plt.xlim(0,t)\n", - "\n", - "plt.xlabel(r'$tJ$')\n", - "plt.ylabel(r'$\\langle \\sigma^z \\rangle$')\n", - "plt.grid()\n", - "\n", - "plt.legend(loc='upper right')\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": ".venv", - "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": "3.10.14" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/examples/emu_sv_examples/examples/quench_emu_sv.ipynb b/examples/emu_sv_examples/examples/quench_emu_sv.ipynb new file mode 100644 index 0000000..104ab33 --- /dev/null +++ b/examples/emu_sv_examples/examples/quench_emu_sv.ipynb @@ -0,0 +1,665 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Quench dynamics with Emu-SV\n", + "\n", + "In this tutorial, we will explore how to simulate a quench sequence using EMU-SV as the backend for Pulser. EMU-SV is a state vector emulator tailored for efficiently simulating the dynamics of the Rydberg Hamiltonian, offering both speed and precision for quantum system simulations.\n", + "\n", + "Our primary objective will be to study the evolution of the $\\sigma _z$ operator. However, we will utilize the number operator $n_i$, also referred to as the qubit density operator, for practical calculations. By carefully adjusting the detuning, we can account for and effectively compensate for additional terms in the Hamiltonian, simplifying the analysis.\n", + "\n", + "This tutorial will take you step by step through the process of setting up the simulation, running it with EMU-SV, and interpreting the results to better understand the system's behavior during the quench sequence.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from dataclasses import replace\n", + "\n", + "#pulser imports\n", + "from pulser.devices import AnalogDevice\n", + "from pulser import Sequence, Register, Pulse\n", + "from pulser.channels import Rydberg\n", + "\n", + "#emulators imports\n", + "from emu_base import QubitDensity\n", + "import emu_sv" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "# define the register arregement function and the device for the quench\n", + "def chain_coordinates(N,R1,R2):\n", + " \"\"\"Generate the coordinates of a chain of points arranged in two parallel \n", + " lines.\"\"\"\n", + " coords = [(-R2/2,i*R1-(N-1)/2*R1) for i in range(N)]\n", + " coords = coords + [(R2/2,i*R1-(N-1)/2*R1) for i in range(N)]\n", + " return coords\n", + "\n", + "\n", + "# device settings\n", + "VD = AnalogDevice.to_virtual()\n", + "VD = replace(\n", + " VD, \n", + " max_atom_num=50,\n", + " max_radial_distance=38,\n", + " max_sequence_duration=None,\n", + " channel_objects=(\n", + " Rydberg.Global(48.69468613064179, 12.566370614359172),\n", + " ))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The registers will be arranged in two parallel lines, each containing $N$ atoms, as generated by the function `chain_coordinates`. The atoms will be vertically separated by $R_1$ and horizontally by $R_2$ . The $U_i$ terms represent the interaction energies between pairs of atoms at various distances. For instance, $U_1$ represents the interaction energy between nearest neighbors along the same line, separated by a distance $R_1$. $U_2$ is the interaction energy between atoms across the two parallel lines, separated by the horizontal distance $R_2$, and so on." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAABpwAAAF8CAYAAADSPhg4AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuNSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/xnp5ZAAAACXBIWXMAAA9hAAAPYQGoP6dpAABfFklEQVR4nO3dd3wVZaLG8eek005oKUBCKEpvEpGNSJGOgIAsArJSFLy4wKooKrpKc4VdG7oiukhTQUQUUEEWCISI9CBVQDoEkgAhBQLpc/9AzhoJgeM5J3OS/L6fTz7LzLwz73Pc956b5XFmLIZhGAIAAAAAAAAAAAD+IA+zAwAAAAAAAAAAAKBoo3ACAAAAAAAAAACAQyicAAAAAAAAAAAA4BAKJwAAAAAAAAAAADiEwgkAAAAAAAAAAAAOoXACAAAAAAAAAACAQyicAAAAAAAAAAAA4BAKJwAAAAAAAAAAADiEwgkAAAAAAAAAAAAOoXACAAAAAAAAAACAQ7zMDgBzXL58Wfv27VNqaqoMw3D4eh4eHvL391eTJk3k5+fnhIQAAAAAAAAAAKCooHAqYWJiYjT19de1cuUKXU3PcPr1y5UtrQd79dYrr7yqunXrOv36AAAAAAAAAADA/VgMZ9zegiJh69at6typg6pa0zWsdY46NZYqlZU8LI5fOydXOn9JWrlLmvuDp66qvKI2bFS9evUcvzgAAAAAAAAAAHBrFE7FXG5urs6ePatSpUqpQf26uqNCklY9n6typVw357kUqf1UTxlla2vzlu2umwgAAAAAAAAAANjFMAxdunRJVatWlYeHh9OuS+FUzMXGxio0NNS2vW2y1KK26+f9Jkbq9bbr5wEAAAAAAAAAAPY7ffq0QkJCnHY93uFUzJUrV06SNGLECH3/9VzdXSu7UObt3Fgq7euh8X+fpL/97W+3fd5XX32lvn37ujAZAAAAAAAAAAAlV2pqqkJDQ239gbNQOBVzFsu1FzSlpqaqVqAhixPe13Q7/HykapU8lZKSIqvVevvn+fnZNR4AAAAAAAAAANjP4uTCwHkP54Nby8rKko9X4T490ddLyszMtOuc2rUL4Xl/AAAAAAAAAADAqSic4FaqVatmdgQAAAAAAAAAAGAnCie4lejoaLMjAAAAAAAAAAAAO1E4wS4fRUoNxpmdAgAAAAAAAAAAuBMKJ9jlwiXpUJzrrt+uXTvXXRwAAAAAAAAAALgEhRPcyqlTp8yOAAAAAAAAAAAA7EThBLdy7NgxsyMAAAAAAAAAAAA7UTjBrXh5eZkdAQAAAAAAAAAA2InCCW6lX79+ZkcAAAAAAAAAAAB24nYS6O2Vtz/2x19cl0OSvvrqK/Xt29e1kwAAAAAAAAAAAKeicIKeW2jfeItrYkiSMjMzXXh1AAAAAAAAAADgChRO0PqXzU7wP2FhYWZHAAAAAAAAAAAAdqJwgtrWNzvB/9SuXdvsCAAAAAAAAAAAwE4eZgdA0bLtqDRytuuuv27dOtddHAAAAAAAAAAAuAR3OOGWEi9Jn2yU5kRJP5+5tu/Dx02NBAAAAAAAAAAA3AiFE/JlGNKq3dLsKOm7XVJmtlSjsjT2AalvC9fNe99997nu4gAAAAAAAAAAwCUonJDHsXPX7mSa/4N0Nkkq6ydlZUvvD5H+2sn18587d06hoaGunwgAAAAAAAAAADgNhROUnil9uVWas0GKPih5eUrdm0lD20h3BksNX5CCyxdOll9++UXh4eGFMxkAAAAAAAAAAHAKCicoeJR06arULEya/qj0yL1SpXLXjh1NMDcbAAAAAAAAAABwfxROUOpV6Y6ga+9neqiFVMrHvCwDBw40b3IAAAAAAAAAAPCHeJgdAOabMVTyLy09OlMK/qs0fJb0w0FzsixfvtyciQEAAAAAAAAAwB/GHU7Qkx2v/ew+Kc2OkhZukuZukGoESJ0bS5ZCynEl44p+OfeL9p/ZX0gzAgAAAAAAAACKq7rBdeXlSQ1SWPgnDZumYdJ7Q6Q3B0lLt18rn2atlwxJ/1gmnU6U+twtVa/smvn3nd2nCTsnaOKuia6ZAAAAAAAAAABQYvzw/A9qHtbc7BglBoUTbuDjJfWPuPZz6oI0Z4M0/wfpmc+ksZ9J4TWlbVOcP+89Ne/RvEHztPfCXgWWC3T+BAAAAAAAAACAEuHcpXNKz0o3O0aJQuGEAlWvLE3se+1nzd5rdz0tj3HdfGf3n1WVOlUUWjHUdZMAAAAAAAAAAIq1rJwsWSyF9cIYSBROsEOnxtd+ktLMTgIAAAAAAAAAANwJhRMKlJQmbT0iXUqXmteQagdJFcq4br6g2kFKUpLrJgAAAAAAAAAAAE5H4QRJ0rurpHnR197fNLKDNKytND9aGjNfSsv437gn2kszH3NdjsyrmVJZ110fAAAAAAAAAAA4H4VTAdavX6/IyEj9+OOPio2N1YULF1S6dGkFBASocePGatu2rXr06KHg4GCzozrki83SM59J3p6Sn7c0fJaUkyuNnCM1qCZ1aChl5Ujf75b+s066q8a14skVks4myaeOj2suDgAAAAAAAAAAXILC6XfS0tL03nvvadasWTp58qQMw5Ak+fn5qWLFirp69ar27dunPXv2aMGCBfL29lbPnj31zDPPqFWrVian/2NmRkp1q0g/Trj2uLzH/iM99anUtr60+kXJ0+PauPRM6Z5XpdlRriucAAAAAAAAAABA0eNhdgB38uGHH+qOO+7Qyy+/LKvVqilTpigyMlIpKSm6cuWKYmNjlZiYqKysLB08eFDz58/Xww8/rNWrV6tNmzZ66KGHdPz4cbM/ht0OxUlDWksVy0oWi/R0V+lqpjS09f/KJkny85EGtZJ+PuO6LLVa1HLdxQEAAAAAAAAAgEtQOP3GmDFj1KlTJ+3Zs0e7du3SSy+9pPvvv1/lypXLM85isahOnTp69NFH9emnnyohIUEfffSRdu/erU8//dSk9H/cuRSpWoX/bVcpf+0/q1a4cWy1CtKVjBv3O8vpvaddd3EAAAAAAAAAAOASPFLvN/bv3686derYfV6pUqU0fPhwDRs2TKdOnXJBMtcylPdOput/tlhuHJvfPmfKSs+Sj3iHEwAAAAAAAAAARQl3OP3GHymbfsvT01M1a9Z0UprClW+5VPgxVNq/tAmzAgAAAAAAAAAAR3CH0x9gGIaOHDkiPz8/hYaGmh3HKV5cJE395tqfc3KvlU3DP5bK+OYdl3LFtTkqh1VWfHq8aycBAAAAAAAAAABOxR1OBfj66681ePBgJSUl2fadOHFCTZo0Ub169VSjRg0NGDBAOTk5JqZ0XPVKkoeHdCn92s+VTKl6ZSnX+N++6z8eHteOucqpPUXvkYQAAAAAAAAAAJR03OFUgJkzZyohIUEVKlSw7XvmmWe0f/9+tW/fXomJifryyy/VoUMHjRgxwsSkjjnxrtkJAAAAAAAAAABAUcYdTgX4+eefdc8999i2L126pBUrVqh///5au3attm3bpvr162vOnDkmpixeAmoGmB0BAAAAAAAAAADYiTucCnDx4kUFBwfbtjdu3Kjs7GwNHDhQkuTt7a1OnTppwYIFZkV0idOJ0t7T197X5F9aahwqhVYqnLlzsnIk78KZCwAAAAAAAAAAOAeFUwGsVqsSExNt2+vXr5eHh4dat25t2+ft7a20tDQz4jnduv3Si4ukmOM3HguvKU0bILVv6NoMF2MvyqeOj2snAQAAAAAAAAAATkXhVIB69erp22+/1WuvvSZPT08tXLhQ4eHhed7pdPLkSQUFBZmY0jk+ipRGzZMMQ4q481rBZC0lpV6Vdp6QNv0idZ4mfTBMeqK92WkBAAAAAAAAAIA7oXAqwN/+9jf169dPISEhtjuZXnvttTxjtmzZoubNm7ssw9SpU/X111/r4MGDKlWqlO69917985//VN26dZ02x+6T0uj5UqMQaeEoqUHIjWN+jpX+MvNaKfWnO6Qm1Z02fR41w2vqzKUzrrk4AAAAAAAAAABwCQ+zA7izvn37asaMGWrYsKHq1Kmjf/7znxo6dKjt+IYNG5SamqquXbu6LMOGDRs0atQobdmyRWvWrFFWVpY6d+7s1Mf4vbVSqlRWWvdy/mWTdG3/2vHXxr290mlT3+DsgbOuuzgAAAAAAAAAAHAJ7nC6hSeffFJPPvlkvsfatm2rpKQkl86/atWqPNvz5s1TYGCgYmJi1KZNG6fMseGANKyNVLFsweMqlpWGtpE+3+SUafOVcSVDPuIdTgAAAAAAAAAAFCXc4eSgl19+WQMGDCi0+VJSUiRJFStWzPd4RkaGUlNT8/zcSkKqVKfK7c1ft8q18a7iV87PdRcHAAAAAAAAAAAuwR1OBZg8eXKBx7Ozs7Vo0SLFx8cXSp7c3Fw9/fTTatWqlRo1apTvmKlTp2rSpEl2Xbesr3Tx8u2NvXj52nhXCaodpLgrca6bAAAAAAAAAAAAOB2FUwEmTpxY4HGLxSJJGjhwYCGkkUaNGqV9+/Zp48aNNx0zfvx4jR071radmpqq0NDQAq/bNEz6arv0bPdbZ/h6u9Sk+m1HttvJXSflU4dH6gEAAAAAAAAAUJRQOBVg/fr1+e5PT0/XL7/8ohkzZig7O1tvvfWWy7OMHj1a3333naKjoxUSEnLTcb6+vvL1te8WpMH3ScP+I726RJr855uPm/iVtOWINOcJuy4PAAAAAAAAAACKOQqnArRt2/amx7p06aIhQ4aocePGGjNmjBYvXuySDIZhaMyYMVq6dKmioqJUs2ZNp88xuLW04EfpH8ukyH3S8Pulu8Ik/9JSyhVp5wlpdtS1sql9w2vjXaVy9cpKlQtfEgUAAAAAAAAAAJyOwskBVqtV3bt312effeayOUaNGqWFCxdq+fLlKleunO19Uf7+/ipVqpRT5rBYpGVjpf+bLS3YdK1Y+j1D0sAI6aPHr40HAAAAAAAAAAC4jsLJQd7e3vL29nbZ9WfOnClJateuXZ79c+fO1dChQ502T2lf6dO/Ss/3uPY+p32npdSrkrWU1ChUeqiFa9/ddN2FUxd4hxMAAAAAAAAAAEUMhZMDMjIytHLlSvXu3dtlcxiG4bJr56dx9Ws/N7Nos/TJD9LK5wsvEwAAAAAAAAAAcG8UTgX45JNP8t1vGIbOnj2rBQsWKCUlReHh4TeMHTx4cGFELHRHE6T/7nHd9cOahSnuSpzrJgAAAAAAAAAAAE5H4VSAoUOHypLPC4t+f9fRmDFj8hyzWCzFtnBytYSjCVIVs1MAAAAAAAAAAAB7UDgVYM6cOfkWTnCd9Evp8qnCO5wAAAAAAAAAAChKKJx+54MPPlCvXr1UrVo1DR061Ow4JY5vaV8ZKtz3VgEAAAAAAAAAAMd4mB3A3YwePVrVq1dXixYt9I9//EN79+41O1KJUrV+VbMjAAAAAAAAAAAAO3GH0+9s375dy5Yt0zfffKNXXnlFr776qmrUqKHevXvrwQcfVOvWreXhUbx6uq+33/7Y/bGuyyFJx2OOy6cOj9QDAAAAAAAAAKAooXD6nfDwcIWHh2vKlCk6ceKEli5dqm+++Ubvvfeepk+frooVK6pHjx7q1auXOnfurNKlS5sd2WF/fle63TdVGbr9sQAAAAAAAAAAoGSgcCpAjRo19Mwzz+iZZ57RxYsX9d1332nZsmVasmSJ5s+fLz8/P3Xo0EF9+vRRjx49FBgYaHbkP2TuE2Yn+J+KIRV1WZfNjgEAAAAAAAAAAOxA4XSbKlasqMGDB2vw4MHKyMjQmjVrtHz5cn333XdasWKFPDw89Kc//UkbN240O6rdhrQxO8H/eHp7mh0BAAAAAAAAAADYicLpD/D19VWPHj3Uo0cPGYahLVu22N77BMecP36edzgBAAAAAAAAAFDEUDg5yGKxKCIiQhEREfrnP/9pdpw/LC5Jslik4PLXttMzpQ/W3jgutJLUr2WhRgMAAAAAAAAAAG6Owgk6dFZq9KL0Wj/phZ7X9qVlSM8tlCySjN+M9fKQmoVJdwa7Jkv1JtUVnx7vmosDAAAAAAAAAACXoHD6jccee+wPnWexWDR79mwnpyk8c6OlimWkZ7rdeOzNQVLzGtf+nJsr/fk9aU6UNHWAa7JcOHlBCnLNtQEAAAAAAAAAgGtQOP3GvHnz8t1vsVhkGMZN9xf1wmndfunB5pJPPquhaXWpbf3/bff/kxS533VZrqRckU8Q73ACAAAAAAAAAKAo8TA7gDs5fvx4np+jR4+qR48eqlSpkqZMmaKoqCgdOHBAUVFRmjx5sipVqqSePXvq8OHDZkd3yOH4a4/Jux31qkhHElyXxdvP23UXBwAAAAAAAAAALsEdTr8RFpa3dZk2bZq2bt2q3bt3q0qVKrb9devWVZs2bTRs2DDdddddWrJkiZ5//vnCjus0aRlSWb+8+yqUkfZOk2oG5N1vLXVtvKuENg5VbEqs6yYAAAAAAAAAAABOxx1OBZg9e7YefvjhPGXTb1WrVk0PP/ywZs2aVcjJnKt8GSkuOe8+Dw+pYYhU2jfv/vgUyb+067Ic237MdRcHAAAAAAAAAAAuQeFUgNjYWPn5+RU4xs/PT7GxRfuOnMah0uq9tzd29d5r4wEAAAAAAAAAAK6jcCpASEiIli5dqvT09HyPX7lyRUuXLlVISEghJ3Ouvi2kDQekb2IKHrdsx7Vxf77HdVkqVK3guosDAAAAAAAAAACXoHAqwPDhw3Xs2DG1atVKy5cvV2JioiQpMTFRy5Yt03333acTJ05oxIgRJie9PYaR//7H20l1q0gP/1t6dYl08nze4yfPS698KQ14X6pfTXqs7W3O9wcy+pTy+QNnAQAAAAAAAAAAM3mZHcCdjRs3Tr/88ovmzp2rhx56SJLk4eGh3NxcSZJhGBo2bJjGjRtnZszbUrp0aZ3N9JCUe8MxX2/pu3FS9zek15ZJ/1gmWUtd+0m9eu3HkFSvivTdc9fG347L6VKZMmXsyplwNEE+dSidAAAAAAAAAAAoSiicCuDh4aHZs2dr8ODBmj9/vvbs2aOUlBT5+/uradOmevTRR9WuXTuzY96WWrVqaekSQ1czpfxuIqoVKP30D2nWemnJNml/rBSXfK10al3v2mP0hreT/G6zC4pPlk6dz9Kdd97pxE8BAAAAAAAAAADckcUwbvagNRQHqamp8vf3V0xMjMLDw7VotNQ/wvXzTv9eGrfIUwkJ51SxYsXbPm/Jj0t0LvOcQiuGujAdAAAAAAAAAKA4O5xwWBG1IxRRuxD+QryIud4bpKSkyGq1Ou26vMOphLjjjjvUoX07/d9cT20+7Nq5Vu6SXvzCQwP697erbJKkpLNJrgkFAAAAAAAAAABchkfq3aacnBxduHBBGRkZ+R6vXr16ISey39Jl36hrl066d+JWhdfyUqeG2apYVvJ0Qu2YkyudS5W+3+Ol/aez1aN7V308e47d10m7mCafyrzDCQAAAAAAAACAooTC6RZiYmL00ksvKTo6WpmZmfmOsVgsys7OLuRk9itXrpzWRq7Xt99+qy8XL9aCLT8qJfWSnPFURQ8PD5X3t6p12/Z6vV8/devWTd7e3nZfx8uHJQkAAAAAAAAAQFHD3+4XYNeuXWrdurW8vLzUuXNnffvtt2ratKmCg4O1c+dOnT9/Xu3atVNYWJjZUW9bqVKl9PDDD+vhhx82O0q+ajSvoVMXT5kdAwAAAAAAAAAA2IF3OBVgypQpkqStW7dq+fLlkqQ+ffro+++/14kTJzRy5Ejt27dPEyZMMDNmsXJkyxGzIwAAAAAAAAAAADtROBVg48aNevDBB1W/fn3bvuuPnytVqpTef/99Va1aVS+99JJZEQEAAAAAAAAAAExH4VSAlJQU1apVy7bt7e2ty5cv27Y9PDzUrl07RUZGmhGvWPIP9jc7AgAAAAAAAAAAsBOFUwECAwOVlJRk2w4ODtbhw4fzjElPT9eVK1cKO1qxVapcKbMjAAAAAAAAAAAAO1E4FaBBgwY6dOiQbbtVq1ZavXq1Nm/eLEk6cOCAFi9erHr16pkVsdiJPxxvdgQAAAAAAAAAAGAnCqcCdO/eXdHR0YqLi5MkvfDCCzIMQ/fdd58CAgLUuHFjJScn8w4nAAAAAAAAAABQolE4FWDkyJE6c+aMKlWqJElq2rSpIiMj1bVrV1WuXFkdO3bUt99+qz59+pictPioVr+a2REAAAAAAAAAAICdvMwO4M68vb0VFBSUZ9+9996rFStWmJSo+Es9lypVMjsFAAAAAAAAAACwB3c4FcDT01ODBg0yO0aJcinxktkRAAAAAAAAAACAnSicCmC1WhUaGmp2jBLFw4slCQAAAAAAAABAUcPf7hfgnnvu0e7du82OUaLUuruW2REAAAAAAAAAAICdKJwKMHHiRK1bt06ffPKJ2VFKjKPbjpodAQAAAAAAAAAA2MnL7ADubM2aNWrXrp2GDRumf//732rRooWCgoJksVjyjLNYLHrllVdMSlm8GLmG2REAAAAAAAAAAICdKJwKMHHiRNufY2JiFBMTk+84CifnsQZYla50s2MAAAAAAAAAAAA7UDgVYP369WZHKHHKViqr9FwKJwAAAAAAAAAAihIKpwK0bdvW7AiKjo7WG2+8oZiYGMXFxWnp0qXq3bu32bFc5uzBs/Kp42N2DAAAAAAAAAAAYAcPswOgYGlpaWratKlmzJhhdhQAAAAAAAAAAIB8UTj9RteuXbV9+/Y/dG5aWpqmTZvm9GKoW7dueu2119SnTx+nXtddValbxewIAAAAAAAAAADAThROv3H+/Hn96U9/0v3336+5c+cqJSXlluds2bJFo0ePVlhYmKZMmaKgoKBCSHpzGRkZSk1NzfNTlKQlpZkdAQAAAAAAAAAA2Il3OP1GTEyM5s+fr0mTJunxxx/XiBEjVLduXYWHhysoKEjly5dXenq6Ll68qEOHDmnHjh26dOmSPD09NWDAAL322muqXr26qZ9h6tSpmjRpkqkZHJF6LlU+5XmHEwAAAAAAAAAARQmF0+8MGTJEgwcP1sqVKzV37lxFRUXps88+u2Gch4eHmjRpoj59+mj48OGqUsU9HgU3fvx4jR071radmpqq0NBQExPZx2KxmB0BAAAAAAAAAADYicIpHxaLRd27d1f37t0lSQcOHFBsbKwSExNVqlQpBQQEqGHDhvL39zc56Y18fX3l6+trdow/rHbL2jp18ZTZMQAAAAAAAAAAgB0onG5D/fr1Vb9+fbNjlAjHdxyXZy1Ps2MAAAAAAAAAAAA7UDi5ucuXL+vIkSO27ePHj2vXrl2qWLGi6e+LcoWc7Bx5isIJAAAAAAAAAICihMLJze3YsUP333+/bfv6+5mGDBmiefPmmZTKdcpWKqtMZZodAwAAAAAAAAAA2IHCyc21a9dOhmGYHaPQ+Af563z2ebNjAAAAAAAAAAAAO3iYHQD4rTM/nzE7AgAAAAAAAAAAsBOFEwAAAAAAAAAAABxC4QS3EnxnsNkRAAAAAAAAAACAnRx+h1P79u3tGu/n56fy5curYcOG6tq1q8LDwx2NYKrU1FQlJyerevXqZkcpFtIvpUtWs1MAAAAAAAAAAAB7OFw4RUVF2f5ssVgkSYZh5BmT336LxaJXX31VHTp00Pz581WlShVHozjdN998o7lz52rbtm26ePGiKlSooAYNGmjgwIEaOnSoPD099c4772jy5MnKyckxO26xkByfLB+rj9kxAAAAAAAAAACAHRwunCZMmKCsrCzNnDlTSUlJql69utq2batq1apJks6cOaPo6GidPHlSFStW1MiRI3X58mXt2LFDmzZtUmRkpLp06aJt27bJz8/P4Q/kDJcvX9agQYP03Xff5SnJ4uPjFR8fr/Xr1+v999/XokWLTEwJAAAAAAAAAADgHhwunF5++WV17NhR6enpmjdvngYPHpzvuE8//VQjR47Utm3btGrVKnl4eGjDhg3q3bu39u/fr1mzZmnMmDGOxnGKgQMHasWKFbr77rv1wgsvqHXr1qpQoYLOnDmjnTt3asaMGVq/fr3uv/9+tW3b1uy4xUrtlrV1Oum02TEAAAAAAAAAAIAdPBy9wDvvvKMffvhB77333k3LJkl69NFH9d577ykyMlLvvvuuJKlt27aaNm2aDMPQV1995WgUp1i2bJlWrFihRx55RJs3b1bfvn0VGBgob29v1ahRQw899JAiIyP1ySefKDk5WYsXLzY7crFyctdJsyMAAAAAAAAAAAA7OVw4LViwQF5eXnr00UdvOfYvf/mLvLy89Mknn9j2DRgwQBaLRfv373c0ilPMnTtXAQEB+s9//iNPT8+bjvvLX/6iL7744ob3VcEx2RnZZkcAAAAAAAAAAAB2cviRekePHlXZsmXl4+Nzy7G+vr4qW7asjhw5Ytvn7++v8uXLKzU11dEoTrF9+3Z1795dpUuXvuXYnj176o033tC+ffsKIVnJUKZCGWUpy+wYAAAAAAAAAADADg4XTl5eXkpOTlZcXJyqVKlS4Ni4uDglJyfLarXm2X/lyhX5+/s7GsUpEhMTVbVq1dse/+yzz7owTclTMaSiEjISzI4BAAAAAAAAAADs4PAj9Zo3by5JeuGFF2459sUXX5RhGLZzJCkhIUEZGRkKCgpyNIpT+Pv76/z587c9fsmSJZo8ebILE5Usp/eeNjsCAAAAAAAAAACwk8OF09/+9jcZhqEFCxaoW7du+uGHH5Sd/b/38GRnZys6OloPPPCAPvvsM1ksFv3tb3+zHV+1apUkqWXLlo5GcYpmzZrp+++/V1bWrR/rtnnzZg0cOFCTJk0qhGQAAAAAAAAAAADuyeHCqVevXho7dqwMw9Dq1avVrl07lS1bVtWqVVNISIjKli2r+++/X//9739lGIaefvpp9erVy3b+9u3b1bRpU/Xu3dvRKE4xcOBAxcbG6sUXXyxwXHR0tHr37q2cnJxCSlYyBNYONDsCAAAAAAAAAACwk8OFkyS9+eabWrhwoWrXri3DMJSZmam4uDidPXtWmZmZMgxDtWvX1oIFC/TWW2/lOff999/XTz/9pB49ejgjisMGDx6sFi1aaPr06XrooYe0c+dO27Hc3Fzt2rVLTzzxhDp16qQrV66oc+fOJqYtfrLSb31nGQAAAAAAAAAAcC9ezrrQgAEDNGDAAO3atUs7d+60vQcpICBAzZs3V7NmzZw1lUt5enpq+fLl6t69u5YtW6bly5erdOnS8vf317lz55STkyPDMFS1alUtXrxYa9as0Zo1a8yOXWwknUmSTx0fs2MAAAAAAAAAAAA7OFw4TZ48WZI0bNgwhYaGqlmzZkWmXLqZ4OBgbd68WR9++KHmzJmjvXv3Ki0tTZJUo0YNPfLIIxo3bpz8/f21Zs0aGYZhcmIAAAAAAAAAAADzWAwH2xJPT095enoqLS1N3t7ezsrlVjIyMnTx4kWVL19epUqVynPs5MmTOnHihNq2bWtSuoKlpqbK399fKSkpslqtZse5pW9ivlFsaqxCK4aaHQUAAAAAAAAAUEQdTjisiNoRiqgdYXYUt+Oq3sDhO5wqV66snJycYls2SZKvr6+qVKmS77GwsDCFhYUVcqLiK3Z/rETXBAAAAAAAAABAkeLh6AWaNm2q5ORkJSYmOiMPSrjMq5lmRwAAAAAAAAAAAHZyuHD6v//7P+Xm5urtt992Rh6UcKWspW49CAAAAAAAAAAAuBWHC6e+fftq7NixmjZtmp5//nlduHDBGblQQgXUDDA7AgAAAAAAAAAAsJPD73Bq3769JKlMmTJ666239M477+iOO+5QYGCgPD098z3HYrEoMjLS0alRDJ3afUo+dXzMjgEAAAAAAAAAAOzgcOEUFRWVZzsnJ0eHDh3SoUOHbnqOxWJxdFoAAAAAAAAAAAC4CYcLpwkTJjgjByBJCqgRoBSlmB0DAAAAAAAAAADYgcIJbiU3J9fsCAAAAAAAAAAAwE4eZgcAfivxdKLZEQAAAAAAAAAAgJ0onAAAAAAAAAAAAOAQhx+pd92VK1f08ccf67///a9Onjypq1ev6ujRo7bjKSkpWrFihSwWiwYOHOisaVHM1GheQ2cvnzU7BgAAAAAAAAAAsINTCqddu3apV69eio2NlWEYkiSLxZJnjNVq1WuvvaZDhw4pKChI7du3d8bUKGbiDsVJ1cxOAQAAAAAAAAAA7OHwI/USExPVvXt3nT59Ws2bN9ebb74pq9V6wziLxaLHH39chmHom2++cXRaFFMZaRlmRwAAAAAAAAAAAHZyuHB65513FBcXpw4dOmjr1q0aO3asSpUqle/Y7t27S5I2b97s6LQopvzK+pkdAQAAAAAAAAAA2Mnhwunbb7+VxWLRv/71L3l4FHy5unXrytvbO8+7nYDfCr4z2OwIAAAAAAAAAADATg4XTseOHZOPj4+aNWt2y7EWi0VWq1WpqamOToti6sRPJ8yOAAAAAAAAAAAA7ORw4ZSbmysvLy9ZLJZbjjUMQ5cvX1aZMmUcnRYAAAAAAAAAAABuwuHCqVq1arpy5YrOnTt3y7Hbt29XRkaGatas6ei0KKYqVa9kdgQAAAAAAAAAAGAnhwundu3aSZLmzp17y7GTJk2SxWJRp06dHJ0WxdTt3CkHAAAAAAAAAADci8OF01NPPSWLxaLXX39da9euzXdMQkKCBg0apO+//14+Pj4aNWqUo9OimLpw8oLZEQAAAAAAAAAAgJ0cLpwaNmyo119/XZcuXVKXLl109913KyUlRZL0yCOPqFWrVgoLC9OiRYskSe+++66qV6/u6LQAAAAAAAAAAABwE17OuMjzzz+vSpUq6bnnntPOnTtt+7/44gsZhiFJKl++vKZPn67Bgwc7Y0oUU9WbVlf81XizYwAAAAAAAAAAADs4pXCSpMcff1z9+/fXV199pR9//FFnz55VTk6OgoOD1apVK/Xr10/+/v7Omg7F1Pnj56Vgs1MAAAAAAAAAAAB7OPxIvd8qW7ashgwZov/85z/67rvv9P3332vu3LkaPnw4ZRNuKSMjQ0f2HFFWZpbZUQCHZWVmaeHMhaxnFHmsZRQnrGcUF6xlFCesZxQXrGUUF6xlFCfZmdn6+N2PlZGRYXaUEsOphRNcZ8aMGapRo4b8/PzUsmVLbdu2zexITpeRkaH9u/crOyvb7CiAw7Iys7Too0X8goYij7WM4oT1jOKCtYzihPWM4oK1jOKCtYziJDsrW3P+PYfCqRA57ZF61+3fv187duzQuXPnJEmBgYG6++671bBhQ2dPVWJ88cUXGjt2rD788EO1bNlS06dPV5cuXXTo0CEFBgaaHc+pIiMj1eGvHcyOAQAAAAAAAAAA7OC0wum7777TSy+9pP379+d7vGHDhnrttdf04IMPOmvKEuPtt9/WiBEjNGzYMEnShx9+qBUrVmjOnDl68cUXTU7nXH379jU7AgAAAAAAAAAAsJNTCqfJkydr0qRJMgzj2kW9vFSpUiVJUmJiorKzs7Vv3z716dNHr7zyiiZOnOiMaUuEzMxMxcTEaPz48bZ9Hh4e6tixozZv3nzD+IyMjDy3CKakpEiS7b+bouD8pfMqm1zW7BiAQ66mXZUkxaXEqVR2KZPTAH8caxnFCesZxQVrGcUJ6xnFBWsZxQVrGcVJ8tVksyO4ret9gbN7A4vh4BVXrVqlBx54QJLUpk0b/f3vf1fr1q3l6+sr6VphEh0drddff11RUVGyWCxauXKlunTp4nj6EuDs2bOqVq2aNm3apIiICNv+559/Xhs2bNDWrVvzjJ84caImTZp0w3U+/vhjlS5d2uV5AQAAAAAAAACA+7py5YqGDx+u06dPKyQkxGnXdbhw6ty5s9auXat+/fpp0aJFslgs+Y4zDEMDBgzQl19+qU6dOum///2vI9OWGPYWTvnd4VS9enWlpKTIarUWWu4/6osvvlD//v3NjgEAAAAAAAAAQLGUmpoqf39/JScny9/f32nX9XD0Ajt27JDFYtHbb79907JJkiwWi9566y1J0vbt2x2dtsSoXLmyPD09lZCQkGd/QkKCgoODbxjv6+srq9Vq+3HmYikMubm5ZkcAAAAAAAAAAKDYK6jT+SMcLpwyMzNVvnx5VatW7ZZjQ0JCVKFCBWVlZTk6bYnh4+Oj8PBwRUZG2vbl5uYqMjIyzx1PxUXt2rXNjgAAAAAAAAAAAOzkcOFUq1YtXb58WZmZmbccm5GRocuXL6tWrVqOTluijB07VrNmzdL8+fN14MABPfnkk0pLS9OwYcPMjuZ0t1NcAgAAAAAAAAAA9+Jw4fTII48oKytLn3zyyS3Hfvrpp8rKytIjjzzi6LQlSv/+/fXmm2/q1VdfVbNmzbRr1y6tWrVKQUFBZkdzuujoaLMjAAAAAAAAAAAAO1kMwzAcuUBWVpY6dOigHTt2aObMmRoyZEi+4z755BONHDlSLVq0UGRkpLy8vByZFrfp+su/UlJSZLVazY5zS59//rkGDhxodgwAAAAAAAAAAIolV/UGdhVOkydPznd/RkaGPvjgA6Wmpio0NFTt2rWzPRrtzJkz2rBhg06dOiV/f3/99a9/lY+Pj1599VXnfAIUqKgVTnFxcapSpYrZMQAAAAAAAAAAKJbconDy8PCQxWK56fHrl/r9mPz25+Tk2BUUf0xRK5y2bt2qli1bmh0DAAAAAAAAAIBiyVW9gV3PtWvTpk2BhRPgqGPHjlE4AQAAAAAAAABQxNhVOEVFRbkoBnAN7/YCAAAAAAAAAKDo8TA7APBb/fr1MzsCAAAAAAAAAACwE4UT3MpXX31ldgQAAAAAAAAAAGAnCie4lczMTLMjAAAAAAAAAAAAO9n1wpz27ds7ZVKLxaLIyEinXAvFS1hYmNkRAAAAAAAAAACAnewqnKKiogo8brFYJEmGYeS7//qx324Dv1W7dm2zIwAAAAAAAAAAADvZVThNmDAh3/2ZmZmaOXOmkpOTVa1aNbVr104hISGSpDNnzigqKkqxsbGqUKGCRo4cKR8fH8eTo1hat26dBg4caHYMAAAAAAAAAABgB4cLp+zsbHXs2FFXr17VRx99pOHDh99wB5NhGJo9e7bGjBmjTZs2ae3atY6lBgAAAAAAAAAAgNuwq3DKzzvvvKMffvhBM2bM0IgRI/IdY7FYNHz4cGVnZ2vUqFF655139Nxzzzk6NYqZ+GNJOrnCQ+9Ffmt2FAAAAAAAAABAETfsjY4qV6GU2TFKDIvx+xcu2alZs2Y6cOCAUlNT5evrW+DYjIwMlStXTg0aNNCuXbscmRa3KTU1Vf7+/kpJSZHVajU7ToHOnUzW9NFfyjOTLwAAAAAAAAAAgGMefvk+NW5Tw+wYbsdVvYHDdzgdPXpUZcuWvWXZJEm+vr4qV66cjh496ui0KIYCw8orpL0UnFtblUPcuxwDAAAAAAAAALivuCMX5enlaXaMEsXhwsnLy0vJyck6c+aMqlWrVuDYM2fOKCkpSf7+/o5Oi2LKYrHIp5S3fEt7mx0FAAAAAAAAAFBE+ZTylsViMTtGieLh6AXuvvtuSbqtdzJdH3P9HOD3wu9oY3YEAAAAAAAAAABgJ4cLp7Fjx8owDC1evFgdOnTQ+vXrlZWVZTuenZ2t9evXq2PHjlq8eLEsFovGjh3r6LRFUo0aNWSxWG74GTVqVL7j582bd8NYPz+/Qk5duPac2GJ2BAAAAAAAAAAAYCeHH6nXrVs3vfrqq5o8ebKioqIUFRUlLy8vVa5cWZJ04cIFZWdnyzAMSdLf//53devWzdFpi6Tt27crJyfHtr1v3z516tRJ/fr1u+k5VqtVhw4dsm0X91sAs7IzJR+zUwAAAAAAAAAAAHs4XDhJ0sSJE9W8eXONHz9eBw4cUFZWluLi4vKMqV+/vv7xj3+od+/ezpiySAoICMizPW3aNNWuXVtt27a96TkWi0XBwcG3PUdGRoYyMjJs26mpqfYHNVH5MpWkrFuPAwAAAAAAAAAA7sMphZMkPfjgg3rwwQe1d+9e7dixQ+fOnZMkBQYG6u6771bjxo2dNVWxkJmZqc8++0xjx44t8K6ly5cvKywsTLm5uWrevLlef/11NWzY8Kbjp06dqkmTJrkicqEIrlBdaecMs2MAAAAAAAAAAAA7WIzrz7pDoVq8eLEeeeQRnTp1SlWrVs13zObNm3X48GE1adJEKSkpevPNNxUdHa39+/crJCQk33Pyu8MpNDRUKSkpslqtLvkszjRz+scK9WmmgFD3zwoAAAAAAAAAcE9nD19UvYgQ1Y/I/+/SS7LU1FT5+/s7vTdw+A6n6OhotWnTxhlZSpTZs2erW7duNy2bJCkiIkIRERG27XvvvVf169fXRx99pClTpuR7jq+vr3x9fZ2eFwAAAAAAAAAA4GY8HL1Au3bt1KBBA02fPl0XL150RqZi7+TJk1q7dq2GDx9u13ne3t666667dOTIERclM1+NoLpmRwAAAAAAAAAAAHZyuHCSpIMHD+rZZ59VSEiIHn30UUVHRzvjssXW3LlzFRgYqO7du9t1Xk5Ojvbu3asqVaq4KJn50jOvmB0BAAAAAAAAAADYyeHC6fDhw3r++ecVGBio9PR0LVy4UPfffz93Pd1Ebm6u5s6dqyFDhsjLK+8TDQcPHqzx48fbtidPnqzVq1fr2LFj2rlzp/7yl7/o5MmTdt8ZVZTEJ502OwIAAAAAAAAAALCTw4VT7dq1NW3aNJ0+fVpLlixRp06dZLFYuOvpJtauXatTp07pscceu+HYqVOnFBcXZ9tOSkrSiBEjVL9+fT3wwANKTU3Vpk2b1KBBg8KMDAAAAAAAAAAAUCCLYRiGsy966tQpzZo1S/PmzdOZM2euTWSxqG7dunriiSc0ePBgVaxY0dnTOmT9+vWKjIzUjz/+qNjYWF24cEGlS5dWQECAGjdurLZt26pHjx4KDg42O6pdUlNT5e/vr5SUFFmtVrPj3NLmbw4oMTZNAaHunxUAAAAAAAAA4J7OHr6oehEhqh8RYnYUt+Oq3sAlhdN1ubm5WrFihT7++GOtXLlSOTk5slgs8vX1Vd++fTVy5Ei1atXKVdPfUlpamt577z3NmjVLJ0+e1PV/FH5+fqpYsaKuXr2qlJQU5ebmSpK8vb3Vs2dPPfPMM6bmtkdRK5zmzFigQEtdCicAAAAAAAAAwB9G4XRzruoNHH6kXoEX9/BQz5499eSTT6ply5ayWCwyDEPp6elasGCB2rRpo1atWmn79u2ujJGvDz/8UHfccYdefvllWa1WTZkyRZGRkUpJSdGVK1cUGxurxMREZWVl6eDBg5o/f74efvhhrV69Wm3atNFDDz2k48ePF3ru4i4j66rZEQAAAAAAAAAAgJ1cVjjFxcXptddeU61atdS9e3dt2rRJhmHovvvu07vvvqvu3bvLYrFo8+bNuu+++xQVFeWqKPkaM2aMOnXqpD179mjXrl166aWXdP/996tcuXJ5xlksFtWpU0ePPvqoPv30UyUkJOijjz7S7t279emnnxZq5pLAWrqC2REAAAAAAAAAAICdnPpIPcMwtHLlSs2aNcv2CD3DMGS1WvXoo49q5MiRatiwoW38sWPH9OSTT2rNmjVq1aqVfvjhB2dFuaVffvlFderU+cPn5+Tk6NSpU6pZs6YTUzlfUXuk3oavf9Kl+BweqQcAAAAAAAAA+MN4pN7Nuao38HLGRWJjYzV79mzNmTNHsbGxtnchNW/eXCNHjtQjjzyi0qVL33BerVq19OWXXyowMFB79uxxRpTb5kjZJEmenp5uXzYVRT+filGoTzOzYwAAAAAAAAAAADs4XDj16NFD//3vf5WbmyvDMFS6dGn1799fI0eOVIsWLW55vtVqVXBwsE6fPu1oFJcwDENHjhyRn5+fQkNDzY4DAAAAAAAAAADgdhx+h9P1R+fVq1dP06dP15kzZzR79uzbKpuu+/Of/6zBgwc7GsUhX3/9tQYPHqykpCTbvhMnTqhJkyaqV6+eatSooQEDBignJ8fElMVf9YA7zI4AAAAAAAAAAADs5PAdTkFBQfriiy/UuHFjVahQ4Q9d480333Q0hsNmzpyphISEPJ/hmWee0f79+9W+fXslJibqyy+/VIcOHTRixAgTkxZv2TlZ8jQ7BAAAAAAAAAAAsIvDdzglJCSoQ4cOzshiqp9//ln33HOPbfvSpUtasWKF+vfvr7Vr12rbtm2qX7++5syZY2LK4u/sxZNmRwAAAAAAAAAAAHZyuHDy9/eXv7//H767yV1cvHhRwcHBtu2NGzcqOztbAwcOlCR5e3urU6dOOnr0qFkRAQAAAAAAAAAA3JLDhdMdd9yhS5cuKSMjwxl5TGO1WpWYmGjbXr9+vTw8PNS6dWvbPm9vb6WlpZkRr8RoUvNPZkcAAAAAAAAAAAB2crhwGjBggLKysrR48WJn5DFNvXr19O233yoxMVHJyclauHChwsPD89y5dfLkSQUFBZmYsvg7fHav2REAAAAAAAAAAICdHC6cnnrqKUVERGj06NFauXKlMzKZ4m9/+5vOnj2rkJAQVa9eXXFxcXryySfzjNmyZYuaNm1qUsKS4WoGd5ABAAAAAAAAAFDUeDl6gddff11t2rTR3r171bNnTzVs2FCtWrVSYGCgPD09b3req6++6ujUTtW3b1/NmDFDs2fPlnTtzq2hQ4fajm/YsEGpqanq2rWrSQlLhjJ+VinX7BQAAAAAAAAAAMAeFsMwDEcu4OHhIYvFot9exmKx3PK8nJwcR6bFbUpNTZW/v79SUlJktVrNjnNLPyzdrZS4LAWEun9WAAAAAAAAAIB7Onv4oupFhKh+RIjZUdyOq3oDh+9watOmzW0VTMXByy+/rKNHj2rRokVmRym29p3crlCfZmbHAAAAAAAAAAAAdnC4cIqKinJCDPNNnjy5wOPZ2dlatGiR4uPjCykRAAAAAAAAAABA0eBw4VRcTJw4scDj1+/iGjhwYCGkKblCKteSUs1OAQAAAAAAAAAA7EHh9Kv169fnuz89PV2//PKLZsyYoezsbL311luFnAwAAAAAAAAAAMC9UTj9qm3btjc91qVLFw0ZMkSNGzfWmDFjtHjx4kJMVrLEXjjGO5wAAAAAAAAAAChiPMwOUFRYrVZ1795dq1atMjsKAAAAAAAAAACAW6FwsoO3t7e8vb3NjlGsNQprYXYEAAAAAAAAAABgJwqn25SRkaGVK1eqd+/eZkcp1o4nHDI7AgAAAAAAAAAAsBPvcPrVJ598ku9+wzB09uxZLViwQCkpKQoPD79h7ODBgwsjYomQlp6qij5mpwAAAAAAAAAAAPagcPrV0KFDZbFYbthvGEae7TFjxuQ5ZrFYbrtwmjhxoiZNmpRnX926dXXw4MGbnvPll1/qlVde0YkTJ3TnnXfqn//8px544IHbmq8oKuVbRjJuPQ4AAAAAAAAAALgPCqdfzZkzJ9/CydkaNmyotWvX2ra9vG7+X8GmTZs0cOBATZ06VT169NDChQvVu3dv7dy5U40aNXJ5VjPcWbWxks6kmx0DAAAAAAAAAADYoUQXTh988IF69eqlatWqaejQoYUyp5eXl4KDg29r7LvvvquuXbtq3LhxkqQpU6ZozZo1ev/99/Xhhx+6MqZp9hzfolCfZmbHAAAAAAAAAAAAdvAwO4CZRo8ererVq6tFixb6xz/+ob1797p8zsOHD6tq1aqqVauWBg0apFOnTt107ObNm9WxY8c8+7p06aLNmzff9JyMjAylpqbm+QEAAAAAAAAAAHClEl04bd++XS+99JIyMzP1yiuvqFmzZqpdu7aeffZZbdiwQbm5uU6dr2XLlpo3b55WrVqlmTNn6vjx42rdurUuXbqU7/j4+HgFBQXl2RcUFKT4+PibzjF16lT5+/vbfkJDQ536GVytasUwsyMAAAAAAAAAAAA7lejCKTw8XFOmTNHu3bt17Ngxvfnmm6pevbree+89tW/fXkFBQRo2bJiWLVumK1euODxft27d1K9fPzVp0kRdunTRypUrlZycrMWLFzvh01wzfvx4paSk2H5Onz7ttGsXBi9Pb7MjAAAAAAAAAAAAO5Xowum3atSooWeeeUbr169XQkKC5s6dq9atW2vJkiV66KGHVLlyZfXs2VNz5szRuXPnnDJn+fLlVadOHR05ciTf48HBwUpISMizLyEhocB3QPn6+spqteb5KUpOnc//nwUAAAAAAAAAAHBfFE75qFixogYPHqyvv/5aFy5c0DfffKNBgwZpx44dGj58uKpWrar77rvP4XkuX76so0ePqkqVKvkej4iIUGRkZJ59a9asUUREhMNzAwAAAAAAAAAAOAuF0y34+vqqR48emjVrls6ePasff/xRzz77rBITE+2+1nPPPacNGzboxIkT2rRpk/r06SNPT08NHDhQkjR48GCNHz/eNv6pp57SqlWr9NZbb+ngwYOaOHGiduzYodGjRzvt87mbBtXDzY4AAAAAAAAAAADsROFkB4vFooiICP3zn//UgQMH7D4/NjZWAwcOVN26dfXwww+rUqVK2rJliwICAiRJp06dUlxcnG38vffeq4ULF+o///mPmjZtqiVLlmjZsmVq1KiR0z6Tu4m9cMzsCAAAAAAAAAAAwE5eZgcoSRYtWlTg8aioqBv29evXT/369XNRIveTeiVJ/j5hZscAAAAAAAAAAAB2KLGF02OPPfaHzrNYLJo9e7aT0+A6X+9SZkcAAAAAAAAAAAB2KrGF07x58/Ldb7FYZBjGTfdTOLlW/dDmSoxNMzsGAAAAAAAAAACwQ4ktnI4fP55nOzc3V0899ZS2bNmip556Sq1bt1ZQUJASEhIUHR2t9957TxEREXrnnXdMSlwy7Dr2o0J9mpkdAwAAAAAAAAAA2KHEFk5hYXnfEzRt2jRt3bpVu3fvVpUqVWz769atqzZt2mjYsGG66667tGTJEj3//POFHRcAAAAAAAAAAMBteZgdwF3Mnj1bDz/8cJ6y6beqVaumhx9+WLNmzSrkZCVLcIVQsyMAAAAAAAAAAAA7UTj9KjY2Vn5+fgWO8fPzU2xsbCElKpn8fEqbHQEAAAAAAAAAANiJwulXISEhWrp0qdLT0/M9fuXKFS1dulQhISGFnKxkOZFwyOwIAAAAAAAAAADAThROvxo+fLiOHTumVq1aafny5UpMTJQkJSYmatmyZbrvvvt04sQJjRgxwuSkAAAAAAAAAAAA7sXL7ADuYty4cfrll180d+5cPfTQQ5IkDw8P5ebmSpIMw9CwYcM0btw4M2MWe/VC7lLaOcPsGAAAAAAAAAAAwA4UTr/y8PDQ7NmzNXjwYM2fP1979uxRSkqK/P391bRpUz366KNq166d2TGLvfikUyqnULNjAAAAAAAAAAAAO1A4/U7btm3Vtm1bs2OUWMlpiSrnQ+EEAAAAAAAAAEBRwjuc4Fa8vXzMjgAAAAAAAAAAAOzEHU75yMnJ0YULF5SRkZHv8erVqxdyopKjSY0/6dypVLNjAAAAAAAAAAAAO1A4/UZMTIxeeuklRUdHKzMzM98xFotF2dnZhZys5Ig5Eq1Qn2ZmxwAAAAAAAAAAAHagcPrVrl271Lp1a3l5ealz58769ttv1bRpUwUHB2vnzp06f/682rVrp7CwMLOjAgAAAAAAAAAAuBXe4fSrKVOmSJK2bt2q5cuXS5L69Omj77//XidOnNDIkSO1b98+TZgwwcyYxV6Af1WzIwAAAAAAAAAAADtROP1q48aNevDBB1W/fn3bPsMwJEmlSpXS+++/r6pVq+qll14yK2KJUK6Uv9kRAAAAAAAAAACAnSicfpWSkqJatWrZtr29vXX58mXbtoeHh9q1a6fIyEgz4pUYx+IPmB0BAAAAAAAAAADYicLpV4GBgUpKSrJtBwcH6/Dhw3nGpKen68qVK4UdDQAAAAAAAAAAwK1ROP2qQYMGOnTokG27VatWWr16tTZv3ixJOnDggBYvXqx69eqZFbFEqFOtidkRAAAAAAAAAACAnSicftW9e3dFR0crLi5OkvTCCy/IMAzdd999CggIUOPGjZWcnMw7nFzsQmqc2REAAAAAAAAAAICdKJx+NXLkSJ05c0aVKlWSJDVt2lSRkZHq2rWrKleurI4dO+rbb79Vnz59TE5avF28dN7sCAAAAAAAAAAAwE5eZgdwF97e3goKCsqz795779WKFStMSlQyeXqwJAEAAAAAAAAAKGq4w+lXnp6eGjRokNkxSrxmte41OwIAAAAAAAAAALAThdOvrFarQkNDzY5R4v10dKPZEQAAAAAAAAAAgJ0onH51zz33aPfu3S6dY+rUqWrRooXKlSunwMBA9e7dW4cOHSrwnHnz5sliseT58fPzc2lOM+UauWZHAAAAAAAAAAAAdqJw+tXEiRO1bt06ffLJJy6bY8OGDRo1apS2bNmiNWvWKCsrS507d1ZaWlqB51mtVsXFxdl+Tp486bKMZqtkDTY7AgAAAAAAAAAAsJOX2QHcxZo1a9SuXTsNGzZM//73v9WiRQsFBQXJYrHkGWexWPTKK6/8oTlWrVqVZ3vevHkKDAxUTEyM2rRpc9PzLBaLgoNLRhFToWxlZaSbnQIAAAAAAAAAANiDwulXEydOtP05JiZGMTEx+Y5zpHD6vZSUFElSxYoVCxx3+fJlhYWFKTc3V82bN9frr7+uhg0b5js2IyNDGRkZtu3U1FSnZC0sR87uU6hPM7NjAAAAAAAAAAAAO1A4/Wr9+vWFOl9ubq6efvpptWrVSo0aNbrpuLp162rOnDlq0qSJUlJS9Oabb+ree+/V/v37FRIScsP4qVOnatKkSa6MDgAAAAAAAAAAkIfFMAzD7BAl0ZNPPqnvv/9eGzduzLc4upmsrCzVr19fAwcO1JQpU244nt8dTqGhoUpJSZHVanVKdlda/cVmZSZ6KyDU/bMCAAAAAAAAANzT2cMXVS8iRPUjbv/v30uK1NRU+fv7O7034A4nE4wePVrfffedoqOj7SqbJMnb21t33XWXjhw5ku9xX19f+fr6OiOmKVLSElVKJeN9VQAAAAAAAAAAFBceZgcwS9euXbV9+/Y/dG5aWpqmTZumGTNm2HWeYRgaPXq0li5dqnXr1qlmzZp2z52Tk6O9e/eqSpUqdp9bFFxIjTc7AgAAAAAAAAAAsFOJLZzOnz+vP/3pT7r//vs1d+5cpaSk3PKcLVu2aPTo0QoLC9OUKVMUFBRk15yjRo3SZ599poULF6pcuXKKj49XfHy8rl69ahszePBgjR8/3rY9efJkrV69WseOHdPOnTv1l7/8RSdPntTw4cPtmruosFgsZkcAAAAAAAAAAAB2KrGP1IuJidH8+fM1adIkPf744xoxYoTq1q2r8PBwBQUFqXz58kpPT9fFixd16NAh7dixQ5cuXZKnp6cGDBig1157TdWrV7drzpkzZ0qS2rVrl2f/3LlzNXToUEnSqVOn5OHxvx4wKSlJI0aMUHx8vCpUqKDw8HBt2rRJDRo0cOjzu6vmtVvr3KlUs2MAAAAAAAAAAAA7WAzDMMwOYSbDMLRy5UrNnTtXUVFRunjx4g1jPDw81KRJE/Xp00fDhw8vUo+zc9XLv1xl1r/nqYpnIwWEun9WAAAAAAAAAIB7Onv4oupFhKh+RIjZUdyOq3qDEnuH03UWi0Xdu3dX9+7dJUkHDhxQbGysEhMTVapUKQUEBKhhw4by9/c3OWnJkJ2TLXmanQIAAAAAAAAAANijxBdOv1e/fn3Vr1/f7BglVoWyAVKm2SkAAAAAAAAAAIA9PG49BCg8Af5VzY4AAAAAAAAAAADsROEEt/LLmd1mRwAAAAAAAAAAAHaicAIAAAAAAAAAAIBDKJzgVmoG8/4sAAAAAAAAAACKGgonuJW09FSzIwAAAAAAAAAAADtROMGtnEs+Y3YEAAAAAAAAAABgJwonAAAAAAAAAAAAOMTL7ABmmj59ujZu3KjPP/9c3t7ekqSDBw9q7ty5io+PV5UqVdSqVSt16dJFPj4+JqctGZrXvk/nT182OwYAAAAAAAAAALBDiS6c5syZo9DQUFvZtHfvXrVs2VLp6em2MRaLRUFBQXrjjTc0aNAgs6KWGPtObleQR32zYwAAAAAAAAAAADuU6EfqHT16VPXr/6/cGD16tBo2bKglS5Zo3bp1+vjjj9WzZ09dvHhRgwcP1tSpU01MWzJkZmeYHQEAAAAAAAAAANipRN/hlJOTozJlykiSLl68qBMnTmjPnj3y9/eXJLVr106PPfaY9u3bp0ceeUSvvPKK2rdvr5YtW5oZu1jzL1NRyjI7BQAAAAAAAAAAsEeJvsMpICBAycnJkqQNGzaoR48etrLptxo1aqTIyEhVqFBBb7/9diGnLFmqVAwzOwIAAAAAAAAAALBTiS6cGjdurLVr1yonJ0eff/55nsfr/V5AQID+/Oc/Kzo6uhATljwHT/9kdgQAAAAAAAAAAGCnEl04DRs2TAcOHFBwcLC++uorzZo1S2lpaTcdb7ValZSUVIgJAQAAAAAAAAAA3F+JLpz69eunf/3rX/L09FSDBg00ffp0tWvXTtu2bbthbHp6upYvX67AwEATkpYcYYF1zI4AAAAAAAAAAADs5GV2ALM999xzeu6552zbo0eP1r333qs6deqoY8eOCgoKUlJSkpYvX65jx47pr3/9q4lpi7+MrKvyVmmzYwAAAAAAAAAAADuU+MLp94YMGaKQkBCNGTNG77//fp5jEREReu2110xKVjLEJ51WqE8ls2MAAAAAAAAAAAA7UDjlo0OHDvr555+1c+dO7d27V1evXlX9+vXVtm1bs6MBAAAAAAAAAAC4HQqnAjRv3lzNmzc3O0aJ0qzWvUqMvWJ2DAAAAAAAAAAAYAcPswMAv3UwdpfZEQAAAAAAAAAAgJ0onOBW0jO5uwkAAAAAAAAAgKKGwglupVyp8mZHAAAAAAAAAAAAdqJwMsGMGTNUo0YN+fn5qWXLltq2bVuB47/88kvVq1dPfn5+aty4sVauXFlISQtfaMAdZkcAAAAAAAAAAAB2onAqZF988YXGjh2rCRMmaOfOnWratKm6dOmic+fO5Tt+06ZNGjhwoB5//HH99NNP6t27t3r37q19+/YVcvLC8fOpHWZHAAAAAAAAAAAAdqJwKmRvv/22RowYoWHDhqlBgwb68MMPVbp0ac2ZMyff8e+++666du2qcePGqX79+poyZYqaN2+u999/v5CTAwAAAAAAAAAA5M/L7AAlSWZmpmJiYjR+/HjbPg8PD3Xs2FGbN2/O95zNmzdr7NixefZ16dJFy5Yty3d8RkaGMjIybNupqamOBy9EIZVqKzsxW1kZ2WZHAQAAAAAAAAAUUdmZOTIMw+wYJQqFUyG6cOGCcnJyFBQUlGd/UFCQDh48mO858fHx+Y6Pj4/Pd/zUqVM1adKkG/Z/+eWXKl269B9MXngSEi5ImV468YvZSQAAAAAAAAAARVny7l+0+6Sf2THczpUrV1xyXQqnYmb8+PF57ohKTU1VaGio+vXrJ6vVamKy27Pgs4Xq0aWX2TEAAAAAAAAAAEVcaauvvH2pQX4vNTVVw4cPd/p1+SddiCpXrixPT08lJCTk2Z+QkKDg4OB8zwkODrZrvK+vr3x9fZ0T2AQenhb5B5QxOwYAAAAAAAAAALCDh9kBShIfHx+Fh4crMjLSti83N1eRkZGKiIjI95yIiIg84yVpzZo1Nx1f1PXu3dvsCAAAAAAAAAAAwE4UToVs7NixmjVrlubPn68DBw7oySefVFpamoYNGyZJGjx4sMaPH28b/9RTT2nVqlV66623dPDgQU2cOFE7duzQ6NGjzfoILhUdHW12BAAAAAAAAAAAYCceqVfI+vfvr/Pnz+vVV19VfHy8mjVrplWrVikoKEiSdOrUKXl4/K8HvPfee7Vw4UL9/e9/10svvaQ777xTy5YtU6NGjcz6CC518eJFsyMAAAAAAAAAAAA7WQzDMMwOAddJTU2Vv7+/UlJSZLVazY5zS6tXr1bnzp3NjgEAAAAAAAAAQLHkqt6AR+rBrdx3331mRwAAAAAAAAAAAHaicIJbWb58udkRAAAAAAAAAACAnSicAAAAAAAAAAAA4BAKJ7iVZs2amR0BAAAAAAAAAADYicIJbsXDgyUJAAAAAAAAAEBRw9/uw63s3LnT7AgAAAAAAAAAAMBOFE4AAAAAAAAAAABwCIUT3EqPHj3MjgAAAAAAAAAAAOxE4QS3sm3bNrMjAAAAAAAAAAAAO1E4wa2cO3fO7AgAAAAAAAAAAMBOFE5wK/7+/mZHAAAAAAAAAAAAdqJwglvp0KGD2REAAAAAAAAAAICdKJzgVr7++muzIwAAAAAAAAAAADt5mR0ArmUYhiQpNTXV5CS358qVK0UmKwAAAAAAAAAARc31v4O/3h84i8Vw9hXhVmJjYxUaGmp2DAAAAAAAAAAA4EZOnz6tkJAQp12PwqmYy83N1dmzZ1WuXDlZLBaz4xQoNTVVoaGhOn36tKxWq9lxAIewnlFcsJZRnLCeUVywllGcsJ5RXLCWUVywllGcsJ5vzjAMXbp0SVWrVpWHh/PevMQj9Yo5Dw8PpzaUhcFqtfIFgGKD9YzigrWM4oT1jOKCtYzihPWM4oK1jOKCtYzihPWcP39/f6df03nVFQAAAAAAAAAAAEokCicAAAAAAAAAAAA4hMIJbsPX11cTJkyQr6+v2VEAh7GeUVywllGcsJ5RXLCWUZywnlFcsJZRXLCWUZywngufxTAMw+wQAAAAAAAAAAAAKLq4wwkAAAAAAAAAAAAOoXACAAAAAAAAAACAQyicAAAAAAAAAAAA4BAKJwAAAAAAAAAAADiEwgluY8aMGapRo4b8/PzUsmVLbdu2zexIQB4TJ06UxWLJ81OvXj3b8fT0dI0aNUqVKlVS2bJl1bdvXyUkJOS5xqlTp9S9e3eVLl1agYGBGjdunLKzswv7o6CEiY6OVs+ePVW1alVZLBYtW7Ysz3HDMPTqq6+qSpUqKlWqlDp27KjDhw/nGXPx4kUNGjRIVqtV5cuX1+OPP67Lly/nGbNnzx61bt1afn5+Cg0N1b/+9S9XfzSUQLdaz0OHDr3hu7pr1655xrCe4Q6mTp2qFi1aqFy5cgoMDFTv3r116NChPGOc9btFVFSUmjdvLl9fX91xxx2aN2+eqz8eSpDbWcvt2rW74bt55MiRecawluEOZs6cqSZNmshqtcpqtSoiIkLff/+97TjfyygqbrWW+V5GUTVt2jRZLBY9/fTTtn18N7sXCie4hS+++EJjx47VhAkTtHPnTjVt2lRdunTRuXPnzI4G5NGwYUPFxcXZfjZu3Gg79swzz+jbb7/Vl19+qQ0bNujs2bN66KGHbMdzcnLUvXt3ZWZmatOmTZo/f77mzZunV1991YyPghIkLS1NTZs21YwZM/I9/q9//UvvvfeePvzwQ23dulVlypRRly5dlJ6ebhszaNAg7d+/X2vWrNF3332n6OhoPfHEE7bjqamp6ty5s8LCwhQTE6M33nhDEydO1H/+8x+Xfz6ULLdaz5LUtWvXPN/Vn3/+eZ7jrGe4gw0bNmjUqFHasmWL1qxZo6ysLHXu3FlpaWm2Mc743eL48ePq3r277r//fu3atUtPP/20hg8frv/+97+F+nlRfN3OWpakESNG5Plu/m2Rz1qGuwgJCdG0adMUExOjHTt2qH379urVq5f2798vie9lFB23WssS38soerZv366PPvpITZo0ybOf72Y3YwBu4J577jFGjRpl287JyTGqVq1qTJ061cRUQF4TJkwwmjZtmu+x5ORkw9vb2/jyyy9t+w4cOGBIMjZv3mwYhmGsXLnS8PDwMOLj421jZs6caVitViMjI8Ol2YHrJBlLly61befm5hrBwcHGG2+8YduXnJxs+Pr6Gp9//rlhGIbx888/G5KM7du328Z8//33hsViMc6cOWMYhmF88MEHRoUKFfKs5RdeeMGoW7euiz8RSrLfr2fDMIwhQ4YYvXr1uuk5rGe4q3PnzhmSjA0bNhiG4bzfLZ5//nmjYcOGeebq37+/0aVLF1d/JJRQv1/LhmEYbdu2NZ566qmbnsNahjurUKGC8fHHH/O9jCLv+lo2DL6XUfRcunTJuPPOO401a9bkWb98N7sf7nCC6TIzMxUTE6OOHTva9nl4eKhjx47avHmzicmAGx0+fFhVq1ZVrVq1NGjQIJ06dUqSFBMTo6ysrDzruF69eqpevbptHW/evFmNGzdWUFCQbUyXLl2Umpqa598yAgrT8ePHFR8fn2ft+vv7q2XLlnnWbvny5XX33XfbxnTs2FEeHh7aunWrbUybNm3k4+NjG9OlSxcdOnRISUlJhfRpgGuioqIUGBiounXr6sknn1RiYqLtGOsZ7iolJUWSVLFiRUnO+91i8+bNea5xfQy/Z8NVfr+Wr1uwYIEqV66sRo0aafz48bpy5YrtGGsZ7ignJ0eLFi1SWlqaIiIi+F5GkfX7tXwd38soSkaNGqXu3bvfsOb4bnY/XmYHAC5cuKCcnJw8/0cvSUFBQTp48KBJqYAbtWzZUvPmzVPdunUVFxenSZMmqXXr1tq3b5/i4+Pl4+Oj8uXL5zknKChI8fHxkqT4+Ph81/n1Y4AZrq+9/Nbmb9duYGBgnuNeXl6qWLFinjE1a9a84RrXj1WoUMEl+YHf69q1qx566CHVrFlTR48e1UsvvaRu3bpp8+bN8vT0ZD3DLeXm5urpp59Wq1at1KhRI0ly2u8WNxuTmpqqq1evqlSpUq74SCih8lvLkvTII48oLCxMVatW1Z49e/TCCy/o0KFD+vrrryWxluFe9u7dq4iICKWnp6ts2bJaunSpGjRooF27dvG9jCLlZmtZ4nsZRcuiRYu0c+dObd++/YZj/M7sfiicAOA2devWzfbnJk2aqGXLlgoLC9PixYv5fzwA4CYGDBhg+3Pjxo3VpEkT1a5dW1FRUerQoYOJyYCbGzVqlPbt25fn3ZBAUXSztfzb9+Q1btxYVapUUYcOHXT06FHVrl27sGMCBapbt6527dqllJQULVmyREOGDNGGDRvMjgXY7WZruUGDBnwvo8g4ffq0nnrqKa1Zs0Z+fn5mx8Ft4JF6MF3lypXl6emphISEPPsTEhIUHBxsUirg1sqXL686deroyJEjCg4OVmZmppKTk/OM+e06Dg4OznedXz8GmOH62ivoOzg4OFjnzp3Lczw7O1sXL15kfcPt1apVS5UrV9aRI0cksZ7hfkaPHq3vvvtO69evV0hIiG2/s363uNkYq9XKvzADp7rZWs5Py5YtJSnPdzNrGe7Cx8dHd9xxh8LDwzV16lQ1bdpU7777Lt/LKHJutpbzw/cy3FVMTIzOnTun5s2by8vLS15eXtqwYYPee+89eXl5KSgoiO9mN0PhBNP5+PgoPDxckZGRtn25ubmKjIzM82xZwN1cvnxZR48eVZUqVRQeHi5vb+886/jQoUM6deqUbR1HRERo7969ef6ic82aNbJarbbb2oHCVrNmTQUHB+dZu6mpqdq6dWuetZucnKyYmBjbmHXr1ik3N9f2P0wiIiIUHR2trKws25g1a9aobt26PH4MpoqNjVViYqKqVKkiifUM92EYhkaPHq2lS5dq3bp1NzzG0Vm/W0REROS5xvUx/J4NZ7nVWs7Prl27JCnPdzNrGe4qNzdXGRkZfC+jyLu+lvPD9zLcVYcOHbR3717t2rXL9nP33Xdr0KBBtj/z3exmDMANLFq0yPD19TXmzZtn/Pzzz8YTTzxhlC9f3oiPjzc7GmDz7LPPGlFRUcbx48eNH3/80ejYsaNRuXJl49y5c4ZhGMbIkSON6tWrG+vWrTN27NhhREREGBEREbbzs7OzjUaNGhmdO3c2du3aZaxatcoICAgwxo8fb9ZHQglx6dIl46effjJ++uknQ5Lx9ttvGz/99JNx8uRJwzAMY9q0aUb58uWN5cuXG3v27DF69epl1KxZ07h69artGl27djXuuusuY+vWrcbGjRuNO++80xg4cKDteHJyshEUFGQ8+uijxr59+4xFixYZpUuXNj766KNC/7wo3gpaz5cuXTKee+45Y/Pmzcbx48eNtWvXGs2bNzfuvPNOIz093XYN1jPcwZNPPmn4+/sbUVFRRlxcnO3nypUrtjHO+N3i2LFjRunSpY1x48YZBw4cMGbMmGF4enoaq1atKtTPi+LrVmv5yJEjxuTJk40dO3YYx48fN5YvX27UqlXLaNOmje0arGW4ixdffNHYsGGDcfz4cWPPnj3Giy++aFgsFmP16tWGYfC9jKKjoLXM9zKKurZt2xpPPfWUbZvvZvdC4QS38e9//9uoXr264ePjY9xzzz3Gli1bzI4E5NG/f3+jSpUqho+Pj1GtWjWjf//+xpEjR2zHr169avz1r381KlSoYJQuXdro06ePERcXl+caJ06cMLp162aUKlXKqFy5svHss88aWVlZhf1RUMKsX7/ekHTDz5AhQwzDMIzc3FzjlVdeMYKCggxfX1+jQ4cOxqFDh/JcIzEx0Rg4cKBRtmxZw2q1GsOGDTMuXbqUZ8zu3buN++67z/D19TWqVatmTJs2rbA+IkqQgtbzlStXjM6dOxsBAQGGt7e3ERYWZowYMeKGf4GF9Qx3kN86lmTMnTvXNsZZv1usX7/eaNasmeHj42PUqlUrzxyAo261lk+dOmW0adPGqFixouHr62vccccdxrhx44yUlJQ812Etwx089thjRlhYmOHj42MEBAQYHTp0sJVNhsH3MoqOgtYy38so6n5fOPHd7F4shmEYhXc/FQAAAAAAAAAAAIob3uEEAAAAAAAAAAAAh1A4AQAAAAAAAAAAwCEUTgAAAAAAAAAAAHAIhRMAAAAAAAAAAAAcQuEEAAAAAAAAAAAAh1A4AQAAAAAAAAAAwCEUTgAAAAAAAAAAAHAIhRMAAAAAAAAAAAAcQuEEAAAAAMXIAw88oBEjRrjk2omJiSpTpoxWrlzpkusDAAAAKLoshmEYZocAAAAAAOS1adMmrV69Wk8//bTKly9/W+f8+OOPatu2rQ4ePKg77rjDJbmeeuopbdy4UTExMS65PgAAAICiiTucAAAAAMANbdq0SZMmTVJycvJtn/PGG2+oQ4cOLiubJGnkyJHauXOn1q1b57I5AAAAABQ9FE4AAAAAUAycO3dOK1as0MMPP+zSeerXr69GjRpp3rx5Lp0HAAAAQNFC4QQAAAAAbmbixIkaN26cJKlmzZqyWCyyWCw6ceLETc9ZsWKFsrOz1bFjxzz7582bJ4vFoh9//FFjx45VQECAypQpoz59+uj8+fN5xu7YsUNdunRR5cqVVapUKdWsWVOPPfbYDXN16tRJ3377rXhCOwAAAIDrvMwOAAAAAADI66GHHtIvv/yizz//XO+8844qV64sSQoICLjpOZs2bVKlSpUUFhaW7/ExY8aoQoUKmjBhgk6cOKHp06dr9OjR+uKLLyRdu0Oqc+fOCggI0Isvvqjy5cvrxIkT+vrrr2+4Vnh4uN555x3t379fjRo1csInBgAAAFDUUTgBAAAAgJtp0qSJmjdvrs8//1y9e/dWjRo1bnnOwYMHCxxXqVIlrV69WhaLRZKUm5ur9957TykpKfL399emTZuUlJSk1atX6+6777ad99prr91wrVq1akmSfv75ZwonAAAAAJJ4pB4AAAAAFAuJiYmqUKHCTY8/8cQTtrJJklq3bq2cnBydPHlSklS+fHlJ0nfffaesrKwC57o+z4ULFxxMDQAAAKC4oHACAAAAgGKioHcqVa9ePc/29dIoKSlJktS2bVv17dtXkyZNUuXKldWrVy/NnTtXGRkZN53ntwUWAAAAgJKNwgkAAAAAioFKlSrZyqP8eHp65rv/t+XRkiVLtHnzZo0ePVpnzpzRY489pvDwcF2+fDnPOdfnuf5uKQAAAACgcAIAAAAAN2Tv3UP16tXT8ePHHZ73T3/6k/7xj39ox44dWrBggfbv369FixblGXN9nvr16zs8HwAAAIDigcIJAAAAANxQmTJlJEnJycm3NT4iIkJJSUk6duzYH5ovKSnphkfyNWvWTJJueKxeTEyM/P391bBhwz80FwAAAIDix8vsAAAAAACAG4WHh0uSXn75ZQ0YMEDe3t7q2bOnrYj6ve7du8vLy0tr167VE088Yfd88+fP1wcffKA+ffqodu3aunTpkmbNmiWr1aoHHnggz9g1a9aoZ8+evMMJAAAAgA2FEwAAAAC4oRYtWmjKlCn68MMPtWrVKuXm5ur48eM3LZyCgoL0wAMPaPHixX+ocGrbtq22bdumRYsWKSEhQf7+/rrnnnu0YMEC1axZ0zbu4MGD2rdvn6ZPn/5HPxoAAACAYshi/P6ZCQAAAACAIumHH35Qu3btdPDgQd15550umePpp59WdHS0YmJiuMMJAAAAgA2FEwAAAAAUI926dVNISIhmzZrl9GsnJiYqLCxMixcvvuExewAAAABKNgonAAAAAAAAAAAAOMTD7AAAAAAAAAAAAAAo2iicAAAAAAAAAAAA4BAKJwAAAAAAAAAAADiEwgkAAAAAAAAAAAAOoXACAAAAAAAAAACAQyicAAAAAAAAAAAA4BAKJwAAAAAAAAAAADiEwgkAAAAAAAAAAAAOoXACAAAAAAAAAACAQyicAAAAAAAAAAAA4JD/B52SXmlnQRTNAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Parameters for the system\n", + "N = 8 # number of atoms in a line\n", + "R1 = 7.5 # vertical distance between atoms in a single chain\n", + "lam = 1\n", + "R2 = R1/(lam**(1/6)) # # Horizontal distance between the two parallel chains of atoms\n", + "\n", + "U1 = VD.interaction_coeff/R1**6 #interaction with nearest neighbors in the same line\n", + "U2 = VD.interaction_coeff/R2**6 #interacion between atoms across two paralell lines\n", + "U3 = VD.interaction_coeff/(np.sqrt(R1**2+R2**2))**6 # interaction between diagonal neighbors\n", + "U4 = VD.interaction_coeff/(2*R1)**6 # second-nearest neighbors interaction in the same line\n", + "U5 = VD.interaction_coeff/(np.sqrt(4*R1**2+R2**2))**6 # second-nearest interaction across lines\n", + "\n", + "coords_exact = chain_coordinates(N,R1,R2) # generate the coordinates of the atoms\n", + "\n", + "hx = 1 \n", + "hz = 0 \n", + "\n", + "t = 4000 # duration of the sequence\n", + "dt = 10 # time step\n", + "\n", + "NN_coeff = U1/4\n", + "omega = 2*hx*NN_coeff\n", + "delta = (-2*hz*NN_coeff+U1+U2/2+U3+U4+U5) #compensate the interaction shift\n", + "T = t/1000*NN_coeff\n", + "dT = dt/1000*NN_coeff\n", + "\n", + "\n", + "# pulser register\n", + "qubits = dict(enumerate(coords_exact))\n", + "reg0 = Register(qubits)\n", + "reg0.draw()\n", + "\n", + "#pulser sequence\n", + "seq = Sequence(reg0, VD)\n", + "seq.declare_channel(\"rydberg\", \"rydberg_global\")\n", + "simple_pulse = Pulse.ConstantPulse(t, omega, delta, 0)\n", + "seq.add(simple_pulse, \"rydberg\")\n", + "seq.draw()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### SVBackend, SVConfig and operators \n", + "\n", + "In order to run a sequence, you need to instanciate *SVBackend* and *SVConfig*. This goes in a similar way of __EMU_MPS__. " + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "step = 1/400, RSS = 510.032 MB, Δt = 0.009 s\n", + "step = 2/400, RSS = 510.192 MB, Δt = 0.007 s\n", + "step = 3/400, RSS = 510.192 MB, Δt = 0.007 s\n", + "step = 4/400, RSS = 510.512 MB, Δt = 0.008 s\n", + "step = 5/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 6/400, RSS = 510.512 MB, Δt = 0.007 s\n", + "step = 7/400, RSS = 510.512 MB, Δt = 0.008 s\n", + "step = 8/400, RSS = 510.512 MB, Δt = 0.007 s\n", + "step = 9/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 10/400, RSS = 510.512 MB, Δt = 0.008 s\n", + "step = 11/400, RSS = 510.512 MB, Δt = 0.008 s\n", + "step = 12/400, RSS = 510.512 MB, Δt = 0.008 s\n", + "step = 13/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 14/400, RSS = 510.512 MB, Δt = 0.008 s\n", + "step = 15/400, RSS = 510.512 MB, Δt = 0.019 s\n", + "step = 16/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 17/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 18/400, RSS = 510.512 MB, Δt = 0.008 s\n", + "step = 19/400, RSS = 510.512 MB, Δt = 0.014 s\n", + "step = 20/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 21/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 22/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 23/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 24/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 25/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 26/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 27/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 28/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 29/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 30/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 31/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 32/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 33/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 34/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 35/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 36/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 37/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 38/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 39/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 40/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 41/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 42/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 43/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 44/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 45/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 46/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 47/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 48/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 49/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 50/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 51/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 52/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 53/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 54/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 55/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 56/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 57/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 58/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 59/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 60/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 61/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 62/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 63/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 64/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 65/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 66/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 67/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 68/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 69/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 70/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 71/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 72/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 73/400, RSS = 510.512 MB, Δt = 0.014 s\n", + "step = 74/400, RSS = 510.512 MB, Δt = 0.013 s\n", + "step = 75/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 76/400, RSS = 510.512 MB, Δt = 0.015 s\n", + "step = 77/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 78/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 79/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 80/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 81/400, RSS = 510.512 MB, Δt = 0.015 s\n", + "step = 82/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 83/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 84/400, RSS = 510.512 MB, Δt = 0.013 s\n", + "step = 85/400, RSS = 510.512 MB, Δt = 0.016 s\n", + "step = 86/400, RSS = 510.512 MB, Δt = 0.014 s\n", + "step = 87/400, RSS = 510.512 MB, Δt = 0.008 s\n", + "step = 88/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 89/400, RSS = 510.512 MB, Δt = 0.012 s\n", + "step = 90/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 91/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 92/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 93/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 94/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 95/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 96/400, RSS = 510.512 MB, Δt = 0.019 s\n", + "step = 97/400, RSS = 510.512 MB, Δt = 0.024 s\n", + "step = 98/400, RSS = 510.512 MB, Δt = 0.020 s\n", + "step = 99/400, RSS = 510.512 MB, Δt = 0.019 s\n", + "step = 100/400, RSS = 510.512 MB, Δt = 0.013 s\n", + "step = 101/400, RSS = 510.512 MB, Δt = 0.014 s\n", + "step = 102/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 103/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 104/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 105/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 106/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 107/400, RSS = 510.512 MB, Δt = 0.015 s\n", + "step = 108/400, RSS = 510.512 MB, Δt = 0.015 s\n", + "step = 109/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 110/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 111/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 112/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 113/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 114/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 115/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 116/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 117/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 118/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 119/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 120/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 121/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 122/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 123/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 124/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 125/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 126/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 127/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 128/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 129/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 130/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 131/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 132/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 133/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 134/400, RSS = 510.512 MB, Δt = 0.012 s\n", + "step = 135/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 136/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 137/400, RSS = 510.512 MB, Δt = 0.016 s\n", + "step = 138/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 139/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 140/400, RSS = 510.512 MB, Δt = 0.015 s\n", + "step = 141/400, RSS = 510.512 MB, Δt = 0.019 s\n", + "step = 142/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 143/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 144/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 145/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 146/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 147/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 148/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 149/400, RSS = 510.512 MB, Δt = 0.013 s\n", + "step = 150/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 151/400, RSS = 510.512 MB, Δt = 0.012 s\n", + "step = 152/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 153/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 154/400, RSS = 510.512 MB, Δt = 0.012 s\n", + "step = 155/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 156/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 157/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 158/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 159/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 160/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 161/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 162/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 163/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 164/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 165/400, RSS = 510.512 MB, Δt = 0.014 s\n", + "step = 166/400, RSS = 510.512 MB, Δt = 0.015 s\n", + "step = 167/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 168/400, RSS = 510.512 MB, Δt = 0.012 s\n", + "step = 169/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 170/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 171/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 172/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 173/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 174/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 175/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 176/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 177/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 178/400, RSS = 510.512 MB, Δt = 0.012 s\n", + "step = 179/400, RSS = 510.512 MB, Δt = 0.013 s\n", + "step = 180/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 181/400, RSS = 510.512 MB, Δt = 0.017 s\n", + "step = 182/400, RSS = 510.512 MB, Δt = 0.013 s\n", + "step = 183/400, RSS = 510.512 MB, Δt = 0.018 s\n", + "step = 184/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 185/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 186/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 187/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 188/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 189/400, RSS = 510.512 MB, Δt = 0.012 s\n", + "step = 190/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 191/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 192/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 193/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 194/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 195/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 196/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 197/400, RSS = 510.512 MB, Δt = 0.012 s\n", + "step = 198/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 199/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 200/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 201/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 202/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 203/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 204/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 205/400, RSS = 510.512 MB, Δt = 0.012 s\n", + "step = 206/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 207/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 208/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 209/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 210/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 211/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 212/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 213/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 214/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 215/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 216/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 217/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 218/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 219/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 220/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 221/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 222/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 223/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 224/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 225/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 226/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 227/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 228/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 229/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 230/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 231/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 232/400, RSS = 510.512 MB, Δt = 0.020 s\n", + "step = 233/400, RSS = 510.512 MB, Δt = 0.013 s\n", + "step = 234/400, RSS = 510.512 MB, Δt = 0.013 s\n", + "step = 235/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 236/400, RSS = 510.512 MB, Δt = 0.012 s\n", + "step = 237/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 238/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 239/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 240/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 241/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 242/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 243/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 244/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 245/400, RSS = 510.512 MB, Δt = 0.013 s\n", + "step = 246/400, RSS = 510.512 MB, Δt = 0.012 s\n", + "step = 247/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 248/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 249/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 250/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 251/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 252/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 253/400, RSS = 510.512 MB, Δt = 0.014 s\n", + "step = 254/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 255/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 256/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 257/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 258/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 259/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 260/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 261/400, RSS = 510.512 MB, Δt = 0.013 s\n", + "step = 262/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 263/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 264/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 265/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 266/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 267/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 268/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 269/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 270/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 271/400, RSS = 510.512 MB, Δt = 0.020 s\n", + "step = 272/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 273/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 274/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 275/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 276/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 277/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 278/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 279/400, RSS = 510.512 MB, Δt = 0.021 s\n", + "step = 280/400, RSS = 510.512 MB, Δt = 0.019 s\n", + "step = 281/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 282/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 283/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 284/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 285/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 286/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 287/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 288/400, RSS = 510.512 MB, Δt = 0.012 s\n", + "step = 289/400, RSS = 510.512 MB, Δt = 0.023 s\n", + "step = 290/400, RSS = 510.512 MB, Δt = 0.017 s\n", + "step = 291/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 292/400, RSS = 510.512 MB, Δt = 0.015 s\n", + "step = 293/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 294/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 295/400, RSS = 510.512 MB, Δt = 0.012 s\n", + "step = 296/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 297/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 298/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 299/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 300/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 301/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 302/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 303/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 304/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 305/400, RSS = 510.512 MB, Δt = 0.015 s\n", + "step = 306/400, RSS = 510.512 MB, Δt = 0.018 s\n", + "step = 307/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 308/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 309/400, RSS = 510.512 MB, Δt = 0.012 s\n", + "step = 310/400, RSS = 510.512 MB, Δt = 0.017 s\n", + "step = 311/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 312/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 313/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 314/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 315/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 316/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 317/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 318/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 319/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 320/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 321/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 322/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 323/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 324/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 325/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 326/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 327/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 328/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 329/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 330/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 331/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 332/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 333/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 334/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 335/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 336/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 337/400, RSS = 510.512 MB, Δt = 0.019 s\n", + "step = 338/400, RSS = 510.512 MB, Δt = 0.021 s\n", + "step = 339/400, RSS = 510.512 MB, Δt = 0.018 s\n", + "step = 340/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 341/400, RSS = 510.512 MB, Δt = 0.014 s\n", + "step = 342/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 343/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 344/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 345/400, RSS = 510.512 MB, Δt = 0.020 s\n", + "step = 346/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 347/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 348/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 349/400, RSS = 510.512 MB, Δt = 0.012 s\n", + "step = 350/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 351/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 352/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 353/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 354/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 355/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 356/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 357/400, RSS = 510.512 MB, Δt = 0.013 s\n", + "step = 358/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 359/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 360/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 361/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 362/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 363/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 364/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 365/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 366/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 367/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 368/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 369/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 370/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 371/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 372/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 373/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 374/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 375/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 376/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 377/400, RSS = 510.512 MB, Δt = 0.013 s\n", + "step = 378/400, RSS = 510.512 MB, Δt = 0.013 s\n", + "step = 379/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 380/400, RSS = 510.512 MB, Δt = 0.013 s\n", + "step = 381/400, RSS = 510.512 MB, Δt = 0.018 s\n", + "step = 382/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 383/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 384/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 385/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 386/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 387/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 388/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 389/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 390/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 391/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 392/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 393/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 394/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 395/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 396/400, RSS = 510.512 MB, Δt = 0.009 s\n", + "step = 397/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 398/400, RSS = 510.512 MB, Δt = 0.010 s\n", + "step = 399/400, RSS = 510.512 MB, Δt = 0.011 s\n", + "step = 400/400, RSS = 510.512 MB, Δt = 0.010 s\n" + ] + } + ], + "source": [ + "# emu-sv backendsd\n", + "sim = emu_sv.SVBackend()\n", + "\n", + "basis = (\"r\",\"g\",)\n", + "density = QubitDensity(evaluation_times=[x for x in range(dt, t, 4*dt)], basis=basis, nqubits=2*N) \n", + "\n", + "#emu-sv config\n", + "svconfig = emu_sv.SVConfig(dt=dt,observables=[density]) # gpu = True\n", + "#svconfig = emu_sv.SVConfig(gpu=True,dt=dt,observables=[density]) \n", + "\n", + "results = sim.run(seq,svconfig)\n", + "magnetization_values = np.array(list(results[density.name].values()))" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "int" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "type(list(results[density.name].keys())[0])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Plot the evolution of the qubit density $n_i$ of all the atoms" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAA3gAAAImCAYAAAABnSh9AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuNSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/xnp5ZAAAACXBIWXMAAA9hAAAPYQGoP6dpAAEAAElEQVR4nOzdd3gU1dfA8e9sT2+kEEIXaaFJE+mCVGmidAEBK7wgTVGRpqKoIKiAWCgKiiiIFA0dUUBAlK70XtJ7sn3eP1ai+dGSsMkGPJ/n2Ucyc++dMzuL7MltiqqqKkIIIYQQQggh7ngaTwcghBBCCCGEEMI9JMETQgghhBBCiLuEJHhCCCGEEEIIcZeQBE8IIYQQQggh7hKS4AkhhBBCCCHEXUISPCGEEEIIIYS4S0iCJ4QQQgghhBB3CUnwhBBCCCGEEOIuIQmeEEIIIYQQQtwlJMETQghRIIqiMGzYsFuWW7hwIYqicObMmcIPysMGDhxIuXLlPB1GoVIUhUmTJrm1zf/SZ0QIIQqbJHhCCHGXO3z4MP369aNUqVIYjUYiIyPp168fR44c8VhMc+bMYeHChXkuryhKzkun0xEcHEzdunUZMWKER+/jVrKyspg0aRJbt251a7tXE6IbvX799Ve3Xs9dpk6dysqVKz0dhhBC3NV0ng5ACCFE4VmxYgW9e/cmODiYwYMHU758ec6cOcNnn33Gt99+y9dff02XLl0KNYbHH3+cXr16YTQac47NmTOHEiVKMHDgwDy389BDD9G/f39UVSU1NZX9+/ezaNEi5syZw7Rp0xg1alQhRJ8/n3zyCU6nM+fnrKwsJk+eDECLFi3cfr0pU6ZQvnz5a47fc889br+WO0ydOpVHH32Url275jp+vc+IEEKIgpEETwgh7lInT57k8ccfp0KFCmzbto3Q0NCccyNGjKBp06b069ePAwcOXDdJcBetVotWq73tdu6991769euX69hbb71Fp06dGD16NFWqVKFDhw63fZ3bodfri/R67du3p169ekV6zcLgrs+IEEIIGaIphBB3rXfeeYesrCw+/vjjXMkdQIkSJZg3bx4ZGRm88847OcdvNIds0qRJKIpy3essWbKEypUrYzKZqFu3Ltu2bct1/n/nV5UrV47Dhw/z008/5QwpLGjvVkhICEuXLkWn0/HGG2/kOmexWJg4cSL33HMPRqOR0qVL88ILL2CxWHKVuzqXcOXKlURHR2M0GqlevToxMTG5yqWnp/P8889Trlw5jEYjYWFhPPTQQ/z+++85Zf79/p05cybnfZ88eXLOvU6aNIkFCxagKAp//PHHNfc0depUtFotFy9eLNB7cpXNZiM4OJgnnnjimnNpaWmYTCbGjBmTcywuLo7BgwcTHh6OyWSiVq1aLFq06JbXyetnRlEUMjMzWbRoUc57cbUH90Zz8ObMmUP16tVzhhYPHTqUlJSUXGVatGhBdHQ0R44coWXLlnh7e1OqVCnefvvtW8YuhBB3I0nwhBDiLrV69WrKlStH06ZNr3u+WbNmlCtXjtWrVxf4Gj/99BPPP/88/fr1Y8qUKSQmJtKuXTsOHTp0wzozZ84kKiqKKlWq8MUXX/DFF1/wyiuvFDiGMmXK0Lx5c3799VfS0tIAcDqddO7cmXfffZdOnTrxwQcf0LVrV9577z169ux5TRu//PILzz33HL169eLtt9/GbDbTvXt3EhMTc8o888wzzJ07l+7duzNnzhzGjBmDl5cXf/7553XjCg0NZe7cuQB069Yt514feeQRHn30Uby8vFiyZMk19ZYsWUKLFi0oVarULe89NTWVhISEXK+rMev1erp168bKlSuxWq256q1cuRKLxUKvXr0AyM7OpkWLFnzxxRf07duXd955h4CAAAYOHMisWbNuGUdefPHFFxiNRpo2bZrzXjz99NM3LD9p0iSGDh1KZGQk06dPp3v37sybN482bdpgs9lylU1OTqZdu3bUqlWL6dOnU6VKFV588UV+/PFHt8QuhBB3FFUIIcRdJyUlRQXULl263LRc586dVUBNS0tTVVVVBwwYoJYtW/aachMnTlT/958MQAXU3377LefY2bNnVZPJpHbr1i3n2IIFC1RAPX36dM6x6tWrq82bN8/z/QDq0KFDb3h+xIgRKqDu379fVVVV/eKLL1SNRqP+/PPPucp99NFHKqBu3749V9sGg0E9ceJEzrH9+/ergPrBBx/kHAsICLhpDKp67fsXHx+vAurEiROvKdu7d281MjJSdTgcOcd+//13FVAXLFhw0+tcfU+v9zIajTnl1q1bpwLq6tWrc9Xv0KGDWqFChZyfZ86cqQLq4sWLc45ZrVa1UaNGqq+vb87nQ1XVa+4nP58ZHx8fdcCAATe8n6ufkbi4ONVgMKht2rTJ9f58+OGHKqDOnz8/51jz5s1VQP38889zjlksFjUiIkLt3r37NdcSQoi7nfTgCSHEXSg9PR0APz+/m5a7ev5q+fxq1KgRdevWzfm5TJkydOnShXXr1uFwOArUZkH4+voC/9zHN998Q9WqValSpUqu3q0HH3wQgC1btuSq37p1aypWrJjzc82aNfH39+fUqVM5xwIDA9m1axeXLl1yS8z9+/fn0qVLuWJZsmQJXl5edO/ePU9tzJ49mw0bNuR6/bvX6sEHH6REiRJ8/fXXOceSk5PZsGFDrp7MH374gYiICHr37p1zTK/XM3z4cDIyMvjpp59u51bzbePGjVitVp5//nk0mn++qjz55JP4+/uzdu3aXOV9fX1zzc80GAw0aNAg1/MTQoj/CllkRQgh7kJ5TdzS09NRFIUSJUoU6DqVKlW65ti9995LVlYW8fHxREREFKjd/MrIyAD+ue/jx4/z559/XjP38Kq4uLhcP5cpU+aaMkFBQSQnJ+f8/PbbbzNgwABKly5N3bp16dChA/3796dChQoFivmhhx6iZMmSLFmyhFatWuF0Ovnqq6/o0qXLLRPzqxo0aHDTRVZ0Oh3du3fnyy+/xGKxYDQaWbFiBTabLVeCd/bsWSpVqpQrmQKoWrVqzvmidPV6lStXznXcYDBQoUKFa+KJioq6Zo5oUFAQBw4cKNxAhRCiGJIePCGEuAsFBAQQGRl5yy+4Bw4cICoqCoPBAHDDhVSKsjeuIA4dOoRWq81ZDdTpdFKjRo1rereuvp577rlc9W+0gqOqqjl/7tGjB6dOneKDDz4gMjKSd955h+rVqxd4npdWq6VPnz4sX74cs9nMli1buHTp0jUrhd6uXr16kZ6enhPnsmXLqFKlCrVq1XJL+8XhM5OX5yeEEP8VkuAJIcRdqlOnTpw+fZpffvnluud//vlnzpw5w2OPPZZzLCgo6JpVCuHGPTjHjx+/5tixY8fw9va+Ye8Z3DgpKIhz587x008/0ahRo5yer4oVK5KUlESrVq1o3br1Na//7RnKq5IlS/Lcc8+xcuVKTp8+TUhIyDWrd/7bre6zf//+pKWlsXr1apYsWUJoaCht27YtUGw30qxZM0qWLMnXX39NQkICmzdvvmahmbJly3L8+PFce/gB/PXXXznnbyQ/n5m8Pver1zt69Giu41arldOnT980HiGE+K+TBE8IIe5SY8aMwdvbm6effjrXapAASUlJPPPMM/j7+zNs2LCc4xUrViQ1NTVXz9/ly5f57rvvrnuNnTt35tom4Pz583z//fe0adPmpvua+fj4XDcpyK+kpCR69+6Nw+HItRJnjx49uHjxIp988sk1dbKzs8nMzMzXdRwOB6mpqbmOhYWFERkZec22C//m7e0NcMN7rVmzJjVr1uTTTz9l+fLl9OrVC53OvbMnNBoNjz76KKtXr+aLL77Abrdfk+B16NCBK1eu5JqrZ7fb+eCDD/D19aV58+Y3bD8/n5m8PvfWrVtjMBh4//33c/XCffbZZ6SmptKxY8dbtiGEEP9VMgdPCCHuUvfccw+ff/45vXv3pkaNGgwePJjy5ctz5swZPvvsM5KTk1m6dGmuTc579erFiy++SLdu3Rg+fDhZWVnMnTuXe++9N1cid1V0dDRt27Zl+PDhGI1G5syZA7j2fbuZunXrMnfuXF5//XXuuecewsLCchZAuZFjx46xePFiVFUlLS2N/fv3880335CRkcGMGTNo165dTtnHH3+cZcuW8cwzz7BlyxYaN26Mw+Hgr7/+YtmyZaxbty5fG4Snp6cTFRXFo48+Sq1atfD19WXjxo3s2bOH6dOn37Cel5cX1apV4+uvv+bee+8lODiY6OhooqOjc8r0798/Zz+6/A7P/PHHH3N62f7tgQceyDU3sGfPnnzwwQdMnDiRGjVq5Mytu+qpp55i3rx5DBw4kL1791KuXDm+/fZbtm/fzsyZM286JzA/n5m6deuyceNGZsyYQWRkJOXLl6dhw4bXtBkaGspLL73E5MmTadeuHZ07d+bo0aPMmTOH+vXru30YqxBC3FU8u4inEEKIwnbw4EG1T58+akREhKrRaFRANZlM6uHDh69bfv369Wp0dLRqMBjUypUrq4sXL77hNglDhw5VFy9erFaqVEk1Go1qnTp11C1btuQqd71tEq5cuaJ27NhR9fPzU4FbbpnAv7YB0Gg0amBgoFqnTh11xIgRN7wPq9WqTps2Ta1evbpqNBrVoKAgtW7duurkyZPV1NTUa+7jf5UtWzZnSX+LxaKOHTtWrVWrlurn56f6+PiotWrVUufMmZOrzvW2DNixY4dat25d1WAwXHfLhMuXL6tarVa99957b/oe/NvNtkngOtssOJ1OtXTp0iqgvv7669dtMzY2Vn3iiSfUEiVKqAaDQa1Ro8Z1t2u43j3k9TPz119/qc2aNVO9vLxUIOf9vd5nRFVd2yJUqVJF1ev1anh4uPrss8+qycnJuco0b95crV69+jVx3mj7BiGEuNspqiozkIUQ4r/k888/Z+DAgfTr14/PP//c0+H85yUkJFCyZEkmTJjAq6++6ulwhBBC3OFkiKYQQvzH9O/fn8uXLzNu3DiioqKYOnWqp0P6T1u4cCEOh4PHH3/c06EIIYS4C0gPnhBCCOEBmzdv5siRI7z66qu0bNmSFStWeDokIYQQdwFJ8IQQQggPaNGiBTt27KBx48YsXryYUqVKeTokIYQQdwFJ8IQQQgghhBDiLiH74AkhhBBCCCHEXUISPCGEEEIIIYS4S8gqmoXA6XRy6dIl/Pz8UBTF0+EIIYQQQgghPERVVdLT04mMjESjKfz+NUnwCsGlS5coXbq0p8MQQgghhBBCFBPnz58nKiqq0K8jCV4h8PPzA+D06dMEBwd7OJr/JpvNxvr162nTpg16vd7T4fznyPvvefIMPE+egefJM/A8eQaeJ8/A85KSkihfvnxOjlDYJMErBFeHZfr5+eHv7+/haP6bbDYb3t7e+Pv7y//MPEDef8+TZ+B58gw8T56B58kz8Dx5Bp5ns9kAimzqliyyIoQQQgghhBB3CUnwhBBCCCGEEOIuIQmeEEIIIYQQQtwlZA6eEEIIIYQQxZCqqtjtdhwOR4HbsNls6HQ6zGbzbbUjbkyr1aLT6YrN9miS4AkhhBBCCFHMWK1WLl++TFZW1m21o6oqERERnD9/vtgkIHcjb29vSpYsicFg8HQokuAJIYQQQghRnDidTk6fPo1WqyUyMhKDwVDg5MzpdJKRkYGvr2+RbLL9X6OqKlarlfj4eE6fPk2lSpU8/j5LgieEEEIIIUQxYrVacTqdlC5dGm9v79tqy+l0YrVaMZlMHk887lZeXl7o9XrOnj2b8157kjxlIYQQQgghiiFJyO4cxelZFZ9IhBBCCCGEEELcFknwhBBCCCGEEOIuIQmeEEIIIYQQQtwlJMETQgghhBBCFIkzZ86gKAr79u3zWAznzp2jY8eOeHt7ExYWxtixY7Hb7R6Lx91kFU0hhBBCCCHEf4LD4aBjx45ERESwY8cOLl++TP/+/dHr9UydOtXT4bmF9OAJIYQQQghRzKmqSpbVXqBXttVR4LpZVjuqquY5zpiYGJo0aUJgYCAhISE8/PDDnDx5Mud8+fLlAahTpw6KotCiRQvAtZ3DlClTiIqKwmg0Urt2bWJiYnLqXe35W7ZsGU2bNsXLy4v69etz7Ngx9uzZQ7169fD19aV9+/bEx8ffML7169dz5MgRFi9eTO3atWnfvj2vvfYas2fPxmq15vOpFE/SgyeEEEIIIUQxl21zUG3COo9c+8iUtngb8pY2ZGZmMmrUKGrWrElGRgYTJkygW7du7Nu3D41Gw+7du2nQoAEbN26kevXqGAwGAGbNmsX06dOZN28ederUYf78+XTu3JnDhw9TqVKlnPYnTpzIzJkzKVOmDIMGDaJPnz74+fkxa9YsvL296dGjBxMmTGDu3LnXjW/nzp3UqFGD8PDwnGNt27bl2Wef5fDhw9SpU+c23qniQRI8IYQQQgghhFt0794918/z588nNDSUI0eOEB0dTWhoKAAhISFERETklHv33Xd58cUX6dWrFwDTpk1jy5YtzJw5k9mzZ+eUGzNmDG3btgVgxIgR9O7dm02bNtG4cWMABg8ezMKFC28Y35UrV3Ild0DOz1euXCngXRcvkuAJIYQQQghRRLLMWcSsX4zB248a1e+nbMnyearnpddyZErbfF/P6XSSnpaOn79fgTfj9tJr81z2+PHjTJgwgV27dpGQkIDT6QRcC5tER0dft05aWhqXLl3KSdKuaty4Mfv37891rGbNmjl/vpqY1ahRI9exuLi4PMd7N5IETwghhBBCiEKWZc5i5bJpPHDxGx6xXHQd/AUSdEGcN0RyxRBBqqkkamAZyt7TgCCfiFz1FUXJ8zDJf3M6ndgNWrwNugInePnRqVMnypYtyyeffEJkZCROp5Po6Gi3zW/T6/U5f1YU5brHriaV1xMREcHu3btzHYuNjc05dzeQBE8IIYQQQohCYraYWb7sLR648A19LBcASNH6YdEYCLclUsKeTAl7MmQddlW4AuYLpTncdA4ORxkPRp5/iYmJHD16lE8++YSmTZsC8Msvv+Qqc3XOncPhyDnm7+9PZGQk27dvp3nz5jnHt2/fToMGDdwaY6NGjXjjjTeIi4sjLCwMgA0bNuDv70+1atXcei1PkQRPCCGEEEIINzNbzKxY9jYNLyyjr+U8AMk6f9aV6ETz7uMpGRrJxbgLHDi0g+RLf6FLu0CQ5QolrZeogAVvZzbWpDMo2vJ4m7w9fDd5ExQUREhICB9//DElS5bk3LlzjBs3LleZsLAwvLy8iImJISoqCpPJREBAAGPHjmXixIlUrFiR2rVrs2DBAvbt28eSJUvcGmObNm2oVq0ajz/+OG+//TZXrlxh/PjxDB06FKPR6NZreYokeEIIIYQQQrjR0q+nUe/0EvqYzwKuHrt1oZ1o8sgr9AqLyilXKiyKUg/2uKb+8pVzqYIGL9WCNvkkKT6RBPqHFFn8BaXRaFi6dCnDhw8nOjqaypUr8/777+dshQCg0+l4//33mTJlChMmTKBp06Zs3bqV4cOHk5qayujRo4mLi6NatWqsWrUq1wqa7qDValmzZg3PPvssjRo1wsfHhwEDBjBlyhS3XseTJMETQgghhBDCTZYseJm+Z12rPqZqfVlXohONur5Mz5J5H27Zsd0T/PnXESzoCVDt+GecJ9FqJqREqcIK221at27NkSNHch373330hgwZwpAhQ3Id02g0TJw4kYkTJ1633XLlyl3TTosWLa45NnDgQAYOHHjTGMuWLcsPP/xw0zJ3MknwhBBCCCGEcIOl38yg51nX/murg9pRs8db9MjjKpn/y2T0QgksRXrWFfycmYRY40iJteBXoixabd5XtRT/PYW/lI4QQgghhBB3uVXrPqfLn2+hw0lMwIN0GLokz1sg3IjBYMAn7B6SdEEABDpSMccfJ9uc5Y6QxV1KEjwhhBBCCCFuw0+7Ymiy5xW8nBZ2+NalydOfo9W5Z6CcRqMhOKwcSaaSONDg48xGm3ySLHOmW9oXdx9J8IQQQgghhCig/X/9RsVNwwm2p3HI614qDFyCr7ef268THBxBpn85LIoeg2rHmXLhmvlnQoAkeEIIIYQQQhTI2cunMX7/JFHWWM4YS6HrsZCIEiUL7Xr+vgFY/KJwouDrzCIp4UKhXUvcuWSRFSGEEEIIIfIpJS2ZuMUDqJ99inh9EJfazuGB8tUL9Zp2u52sDAdZahARShJBtkTOX9QDOhRAUUCjKHib9PgH+qEoSqHGI4onSfCEEEIIIYTIB5vNyt5P+9Eqcz8ZGi/2PvAO7e5rUWjXc9gdxCekkGhTcChaIABvsvFXsilBIifUSFQUuDpiM9OJT0YiJYO8MXmbCi0uUTxJgieEEEIIIUQ+rP7oSR5J+wWrouPHGuN5rOVjhXIdh8NB7JUkEmy4EjsFDE4HQQaFTELwcl7GS7ESqSRhJgBVBYcKaaqWTEXHyRQrgSlZeJukJ++/RBI8IYQQQggh8mjVus/pmvg9AN9UGE7fbsPcfg1zZjbpaZmcjkvHqTeBAnrVQZhJS1BIEBqNaxmNpCQHwebLhJBGkpcfwUFhrvrZZi4nZJCu6EhGR2q2E3tcCqFhgTl1xd1LnrAQQgghhBB5YLaYuWffLDSorAtsSd/HJ7r9Gj9+u5m+728m1aHBoWjQqw4iDSqVSwUREpo7QQsOjiBF6w+AnzkWsyUbAJOXifKlS1DOV4vRacepaIi1azh2IZnUpDS3xyyKF0nwhBBCCCGEyIMVX7xCtewTpGp9Kd1pitvbX/nlOv5vdzopBh+0qpNQvUrlyCBKhAXdsOfNJ6QMFsWAXrVjTT6fa+sE/0A/KpUKpgQWtKoTq0bL2Swn5y8meGyLhTNnzqAoCvv27fPI9QGGDx9O3bp1MRqN1K5d22NxFBZJ8IQQQgghhLiFg8f/oOPlrwBYG9mHahVrurX95V/EMHqfBbtGRyNHIhGB3gSHBKDR3vzrul6nx+xTEifg78wkKfFS7gIKePsauTfcjxCNHQVIVnVcvpzk1vjvNIMGDaJnz56eDqNQSIInhBBCCCHELVxeM4kARyaHvCrxSL/X3Nr2t5//yNiDVhwaLQ85Y5n4fCcUzf8sjKKqYM287ivAZCRFNYEtm8DM82QkX8ldxpaF1mmmVAkvIpRMFFsWiRYLcRcu3LDNXK989PbFxMTQpEkTAgMDCQkJ4eGHH+bkyZM558uXLw9AnTp1UBSFFi1aAOB0OpkyZQpRUVE5PWsxMTE59a72/C1btoymTZvi5eVF/fr1OXbsGHv27KFevXr4+vrSvn174uPjbxrj+++/z9ChQ6lQoUKe7+tOIousCCGEEEIIcRMrVn/CI6lbcaJwpu5ooo3u23pg6YK1vPynA6dGSzs1lg/f6I/dYb+2oC0LpkbesJ3gv/+rBXz/dVwDBP7r59C/X/ny8iUw+OSpaGZmJqNGjaJmzZpkZGQwYcIEunXrxr59+9BoNOzevZsGDRqwceNGqlevjsFgAGDWrFlMnz6defPmUadOHebPn0/nzp05fPgwlSpVyml/4sSJzJw5kzJlyjBo0CD69OmDn58fs2bNwtvbmx49ejBhwgTmzp2b37u8a0iCJ4QQQgghxA1kZKVT8/AHAPwQ1IaHW/d2W9tffraa8cfAqdHSgVjef70/Or3u+gneHaJ79+65fp4/fz6hoaEcOXKE6OhoQkNd6WVISAgRERE55d59911efPFFevXqBcC0adPYsmULM2fOZPbs2TnlxowZQ9u2bQEYMWIEvXv3ZtOmTTRu3BiAwYMHs3DhwsK8xWJPEjwhhBBCCCFuYM0XL9PLfJZEXQBVu73utna/+OR7JpzQoCoaOiuxvPfaALQ67Y0r6L1dPWm3kBR/lmB7CmbFgCGsMgBp6en4+/nlWqhFVVXOXUwiTdGhUVXKBhjw9fO+8bXz6Pjx40yYMIFdu3aRkJCA0+kE4Ny5c0RHR1+3TlpaGpcuXcpJ0q5q3Lgx+/fvz3WsZs1/5j6Gh4cDUKNGjVzH4uLi8hzv3eiOnYOXlJRE37598ff3JzAwkMGDB5ORkXHLejt37uTBBx/Ex8cHf39/mjVrRnZ2ds75cuXKoShKrtdbb71VmLcihBBCCCGKob2HfqVT7DIA1kU9TsUy97ql3YUfrcxJ7rpq4m6d3AEoimuY5C1ePqEVsOt9MOm0JGemu47rva8ppxh9KV02Cm+dAYfBh7NZWrJtmuu3q+R9o/ROnTqRlJTEJ598wq5du9i1axcAVqv1dt6yHHq9/l9viXLdY1eTyv+qOzbB69u3L4cPH2bDhg2sWbOGbdu28dRTT920zs6dO2nXrh1t2rRh9+7d7Nmzh2HDhl2z7OyUKVO4fPlyzuv//u//CvNWhBBCCCFEMZS2fjI+TjN/eFfjsb7u2fNu5ZfrmHxai6po6K6LY8breUju8sFoMJGmCwTA15qMU71xsqPRaihbMhCT045D0XAmKQuL2VLgaycmJnL06FHGjx9Pq1atqFq1KsnJybnKXJ1z53A4co75+/sTGRnJ9u3bc5Xdvn071apVK3A8/1V35BDNP//8k5iYmJwVcwA++OADOnTowLvvvktk5PUnoI4cOZLhw4czbty4nGOVK1e+ppyfn1+uMcFCCCGEEOK/ZdmKD+iRtgM7GuLvfwG93nDbbZ47dpbxe9NR9V5008bxzpQBN9zf7nb4BkZgT0jFqFpJTI5Fq7vxAik6nY7yEQGcvJKGVaPlTFwGFUtq0enznyYEBQUREhLCxx9/TMmSJTl37lyu790AYWFheHl5ERMTQ1RUFCaTiYCAAMaOHcvEiROpWLEitWvXZsGCBezbt48lS5bkO45bOXHiBBkZGVy5coXs7OycPfmqVauWk4Deye7IBG/nzp0EBgbmJHcArVu3RqPRsGvXLrp163ZNnbi4OHbt2kXfvn154IEHOHnyJFWqVOGNN96gSZMmucq+9dZbvPbaa5QpU4Y+ffowcuRIdLobv1UWiwWL5Z/fdqSlpQFgs9mw2Wy3e7uiAK6+7/L+e4a8/54nz8Dz5Bl4njwDz7tTn0FyWiINjs4BYE1wBzo2evi278FuszNszmYyTGFUNsfz2muP4XA4cvVkXWWz2VBVFafTWaDhhjqdnmRdICH2RPxsyWRovHLaux6tTku5UB9OJWRh0Wi5GJtM6ciQfF8X4Msvv+T5558nOjqaypUrM3PmTB588MGce9FoNMycOZPXX3+dCRMm0LRpUzZv3sywYcNISUlh9OjRxMXFUa1aNVauXEnFihVzvQ//++ebHbuRIUOG8NNPP+X8XKdOHQBOnjxJuXLlCnTfTqcTVVWx2Wxotbl7ZIv686+ontrG/jZMnTqVRYsWcfTo0VzHw8LCmDx5Ms8+++w1dX799VcaNWpEcHAw7777LrVr1+bzzz9nzpw5HDp0KGf51RkzZnDfffcRHBzMjh07eOmll3jiiSeYMWPGDeOZNGkSkydPvub4l19+ibd33ielCiGEEEIIz0s7s4rHk78lVh/ChkqT8TP633abP/10mhWGSnjZLYy7J53AkoE3LKvT6YiIiKB06dIF7lFyOB34Wy6iVx3E60LQG259D1azjSt213y2cI0Vo/ed35tVVKxWK+fPn+fKlSvY7blXQc3KyqJPnz6kpqbi73/7n6VbKVY9eOPGjWPatGk3LfPnn38WqO2rWfzTTz/NE088Abiy9U2bNjF//nzefPNNAEaNGpVTp2bNmhgMBp5++mnefPNNjEbjddt+6aWXctVLS0ujdOnStGzZkpCQgv32Q9wem83Ghg0beOihh3JNvBVFQ95/z5Nn4HnyDDxPnoHn3YnP4FLcBQIODAVgY1Q/enbrddtt7ti4m5V611DMl+/V0uuJPjctbzabOX/+PL6+vphMBd9zLzkxixBbAoGOVFSfCHTaW3z19wfr5SSSVB1JDi2VfHzRaO/YJTuKlNlsxsvLi2bNml3zzBITE4s0lmKV4I0ePZqBAwfetEyFChWIiIi4ZvlTu91OUlLSDefOlSxZEuCaiZpVq1bl3LlzN7xew4YNsdvtnDlz5rrz9QCMRuN1kz+9Xn/H/M/sbiXPwLPk/fc8eQaeJ8/A8+QZeN6d9Ax2rplOL0c6p41RdO/18m3HnXQlkbHrz+E0+tNWjeXxpwbdso7D4UBRFDQazW3N0QsILok1LgWDaicx5QohoWVuWadkeCDpl1OxKVquxKUQVapEga//X6LRaFAU5bqf9aL+7BerBC80NDRn88ObadSoESkpKezdu5e6desCsHnzZpxOJw0bNrxunXLlyhEZGXnNsM5jx47Rvn37G15r3759aDQawsLC8nEnQgghhBDiTpOQHEerhDUA7IjsRl9jwXvPwDWCbPT074kzhhNpTmHaq4+4I8w802l1JOqDCLHG429LwWaLuOViMVqdjkhfPWcznSSpOgLTMvH1v/EiLaL4uSP7XKtWrUq7du148skn2b17N9u3b2fYsGH06tUrZwXNixcvUqVKFXbv3g249sQYO3Ys77//Pt9++y0nTpzg1Vdf5a+//mLw4MGAa/GWmTNnsn//fk6dOsWSJUsYOXIk/fr1IygoyGP3K4QQQgghCt/65dMItSVzwRBOl8devO32FsxbyRZtOFqng5ldKxMYEnj7QeZTQGAEFkWPHgfpyZfzVifInwBc88gupmTjdPy395W70xSrHrz8WLJkCcOGDaNVq1ZoNBq6d+/O+++/n3PeZrNx9OhRsrKyco49//zzmM1mRo4cSVJSErVq1WLDhg1UrFgRcA21XLp0KZMmTcJisVC+fHlGjhyZa36dEEIIIYS4+6RlpNEy9nsAtoV3oY+33221d+S3I7x9UgEdDA3NpEGLereuVAg0Gg1J2gDC7An421OwWCMwGq6/rsS/RYYFkBGbjkWjIzYumZIlZV2JO8Udm+AFBwfz5Zdf3vB8uXLluN4CoePGjbtmP46r7rvvPn799Ve3xSiEEEIIIe4Mq795i762eGL1IbR77PrfFfMqOyOL/1v8GxZTCPWssYwYOcBNURaMTu+L2ZGGSbWSlnIZY1i5W9bRG/REeGm4aIYEu5bAzGy8fLwKP1hx2+7IIZpCCCGEEEK4S5Y5iyZXvgNgc+jDBPvfXm/VpLeXcdIUQoA1k1nD2qDVaW9dqRBpFIVMg2u6UYA9FbMlO0/1gkMC8FHtqApcSMy8bueJKH4kwRNCCCGEEP9p333zDmUtl0jS+dPykZduq61tP+7ga6tr0cCp9wdTqkKUO0K8bYGB4WQrRrQ4yU69kqc6iqIQFeqHRlXJ1uiIj0su5CiFO9yxQzSFEEII8d/gdDo5uu8Y67fs50hcGiEmAyUDTZQM8adUZAhR5UtSskxJdHr5WiPyz2az0vDicgA2hHSkZ4mSBW/LYmXSuhNgCqGLEkfHHk+4K8zbpigK2cYgvMxX8LOnYbPb0OtuvXy/0WQkzJDJFZtCnFUhwGzBaLr1HD7hOfJ/QiGEEEIUO9lZZn5e/ysb957htwwnDb0P0VO7hRFepzjjDOdAUgX2J1Tg6z8rckgth8WpJ8SWSUVNNk+3vJeWDzfx9C2IO8S3y9+jt/ksaVofGnZ+4bbamjdnJadMIfjZshg/uqObInSfwMBwrLGJGFQbiSmxhJTIW+9iaGgQqRcSydbouBifTvkoA4qiFHK0oqAkwRNCCCFEsWA1W/hqUQwbjyewh0Cq6c/RS7uFSf6/4q1YcsqV08RSjlg6a3cC4FAVjqlRHDBU5BdnNE/8EkbtTQsY/mBFT92KuEM47HZqnv0GgPXB7Xi0VIUCt3Xx1AXmXNSCDkZU0BIaWfz2UNZoNGTo/Am2JeJjS0VVS+UpUVM0ClEhPpxItpCh6EhLTicg2L9AMZw5c4by5cvzxx9/ULt27QK1cTv279/PW2+9xS+//EJCQgLlypXjmWeeYcSIEUUeS2GRBE8IIYQQHndg10FGffU7SSYD3Yx7maDdSiXNxZzzJ42l2RP8IGXqdePiuUM4rxymZNYp7jWfIMKWSFXlPFU15+nJVto4fuMFnmLQ9nRqZFwhQLeLFh2lR09ca/n3s+mRfZwsjYkaHcbcVltT5q0nSxdOFXMCA5/q66YI3c8nIAxHQhIm1UpyagJBgaF5qufl40VQSiZJqo4rGVb8g9Q7shdv7969hIWFsXjxYkqXLs2OHTt46qmn0Gq1DBs2zNPhuYUkeEIIIYTwGLvNzgezvmFOrDcdvP9imv4TTIoNgCyNiZ/8G2Ot0oWHW/elou7vry11W+ZqY/9fv/Hn/i0Y4w7wcNJaOml/5R79FZ7OHM5B3ygG/pxKvU3zGdW+Og881LCob1EUUw67nUonlwKwLughupWvVuC2tv2wnXVKOIrqZErX6oUyH1RVVbLteVv98t+cTifZ9mx0Nh0ajQYUSFL1BDjTsWZcJsvH55ZteOm8UBSF8NAAUmIzsGh0JCemEVwi4JqyMTExvP766xw6dAitVkujRo2YNWtWzr7T5cuXB6BOnToANG/enK1bt+J0Onn99df5+OOPiY+Pp2rVqrz11lu0a9cO+Kfn7+uvv+aDDz7gt99+Izo6miVLlpCamsqzzz7LX3/9RdOmTfn8888JDb1+4jpo0KBcP1eoUIGdO3eyYsUKSfCEEEIIIW7H8QPHGDl/O4dMYfQzbGCKfiEaVI543cMfoa1p1n4o7UuWuWU7tarUo1YV1ybSK3+YT5Pfp1DVfoaVvpN4O6s/3zga8pshnD6bEmixfj4fvNwdv6Brv5iK/5bvf1zAI1lHsCh6Kjz0fIHbsZotTFx/EkwhdNYm0KBFJ/cF+S/Z9mwafumZX1Ds6rMLb703eoOeYK2TBKeWuCw7QU4VRZO7Fy8zM5NRo0ZRs2ZNMjIymDBhAt26dWPfvn1oNBp2795NgwYN2LhxI9WrV8dgMAAwa9Yspk+fzrx586hTpw7z58+nc+fOHD58mEqVKuW0P3HiRGbOnEmZMmUYNGgQffr0wc/Pj1mzZuHt7U2PHj2YMGECc+fOzfP9paamEhwc7J43qxiQBE8IIYQQRcrpdPLJ7BXMOKvFYgpjqHYlY/XLAFgV3IH2zy6imt5QoLa7dhjE3jLViF07jOrZx3ndOIeqIen8dqkWPzhC2aoNp9vklSz8v1ZEVSwey9cLz4g8ugSA9YGt6PT3LwgKYt7clZwuxguruFtYaADJV9KwarQkJqZSIjQw1/nu3bvn+nn+/PmEhoZy5MgRoqOjc3rWQkJCiIiIyCn37rvv8uKLL9KrVy8Apk2bxpYtW5g5cyazZ8/OKTdmzBjatm0LwIgRI+jduzebNm2icePGAAwePJiFCxfm+X527NjB119/zdq1a/Ncp7iTBE8IIYQQRebcsbOM+mgTvxnCQacywfglg5Q1AHwb+ijdnp6HVnd7X0/qRt9PQqkfWL/wSdqkbmVA4iLCwlvR7d7hjNoYxwlTCbp9+DOfPFaN2g/UcsdtiTvMmo1f8XDGH9jRENqi4MPyLp66wNyLOtDB8xULd2EVL50Xu/rsync9p9NJeno6fn5+riGaf0tOvkKQJQ4HGtTQKui0N/5756XzyvmzTq8jRK8SZ4d4s4NghxON9p92jx8/zoQJE9i1axcJCQk4nU4Azp07R3R09HXbT0tL49KlSzlJ2lWNGzdm//79uY7VrFkz58/h4eEA1KhRI9exuLi4G97Lvx06dIguXbowceJE2rRpk6c6dwLZ6FwIIYQQReL3n/+g47zd/GYIx+iwMMNvQU5yt7Rkfx4d+tltJ3dXlQgKo9kzS1kY3AsHGtqnbKLEoRd5u70fZcxJxBv96b3iJDHLt7jleuLOYjz4FQCbA5pxf62mBW7HtbCKiSrmeAY+1cVd4V2Xoih4670L9PLSeV1zrGSJcuh0Pvhp9dgy0m9a/38XUwkNDUSnOrEpWhISUnKd69SpE0lJSXzyySfs2rWLXbtcSanVanXL+6DX/7N339W4/vfY1aTyZo4cOUKrVq146qmnGD9+vFtiKy4kwRNCCCFEodu/8yADVp4gXe9NZXMcH4TN5xHbRpwoLCnzLL2e/sDt19TqdASV7cDymlNI0fpRM+svqu55ng8HR1PHEke2zshzu9L5+MPlbr+2KL4On9hH87TtANhr9SlwO/9eWOW1rjXQ6rTuCrFIuLZMcM1F9baloqpqnutqtVpK/D2KOsEKDocDgMTERI4ePcr48eNp1aoVVatWJTk5OVfdq3PurtYB8Pf3JzIyku3bt+cqu337dqpVK/jiNzdy+PBhWrZsyYABA3jjjTfc3r6nSYInhBBCiEJ15Lcj9P/mT9L13lS3XGZ81Je0yfwZm6JlaaUx9B30VqFev1unZzjS4QvOGyIobb1C4oaXWTLlMToQi1OjZeoFEy9PXITD7rh1Y+KOd3jDRxhUO/u9q9DhwZ4FaiNnYRWgizaB+i3qujPEIuPtH4oTBS/VQkpaYr7qligRiF51YFc0JMSnABAUFERISAgff/wxJ06cYPPmzYwaNSpXvbCwMLy8vIiJiSE2NpbU1FQAxo4dy7Rp0/j66685evQo48aNY9++fW7fn+7QoUO0bNmSNm3aMGrUKK5cucKVK1eIj49363U8SRI8IYQQQhSaY/uO0u/LA6QafKhsjmViyUU0zdiNWWNgRfXx9OlbNEOjHqjbkv0NJmFVdLRM28HKZVP4cOpAnglIAeBLSwkGjVtEZlpGkcQjPCMjK51mSRsAOFSyfYHbubqwir8ti1eG3bkLq5iMXqRrfQHQZiffonRuGq2GUJOr1zLBpmC329FoNCxdupS9e/cSHR3NyJEjeeedd3LV0+l0vP/++8ybN4/IyEi6dHENbR0+fDijRo1i9OjR1KhRg5iYGFatWpVrBU13+Pbbb4mPj2fx4sWULFky51W/fn23XseTJMETQgghRKE4eeQkfRf9TpLBjwrmRJ4qt5kGWQdI13rzQ52p9Hx01K0bcaOHW/dmeUnXBtSPXJjPxl++Z9xLfXnzXhW9w85PunAGTFqG1Wwp0rhE0Vm18gMibAkk6ILo2KVgPUNxF+P46IJrruiIQl5YpUh4hwDg58wgKzszX1WDQ/wxOB04FA3x8a6euNatW3PkyBHMZjP79++nefPmqKpK165dc+oNGTKEc+fO4XA42Lp1K+AaMjpx4kQuXLiA1Wpl3759OXvgAZQrVw5VValdu3bOsRYtWqCqKoGBgTnHBg4cSEpKyg1jnjRpEqqqXvM6c+ZMvu69OJMETwghhBBud/boGfp8sot4oz9lzEkMrp9I95TVAKy993ke6fSkR+J69Il32e5bD5Nqo+L2V7mScJnegx7mswdDMdkt/GYIZ/TkJXlapEHcee69+AMAW4NaEegfVKA2Zsz7gUy9iYrmxEJfWKUoBPgFkanxQgHM6fkbpqjRaAjzdiW7iXYNNqutECIU+SUJnhBCCCHc6vzJ8/Seu51YYwClzMm81aMcrc+4FlFZG9SGXj1f9Fhser2BkO7vc0UfQkXLef5YPBSAZu0fYHoDfzSqk9VqONPfWeqxGEXh2PDz99TLPIgdDRVaPFWgNk4cOsG3Zldi+GKLMnfcwio3Yta7Flvxs6dhd9jzVTcoxB+j045TUYhLSC2M8EQ+SYInhBBCCLe5fOYifT74iUumQCIsqSx55gEcO18j3JbISWNp6j/+oadDpEr56uyoMS5n+4QlX0wGoGOP1owtZQZgdnIASxfcPRsfC7D+vhiAn/3v577qDQvUxluLtmHX6KhvjaVN1xZujM6zAoPCsCo69DhITY7NV11FUYjwda2MmeTQYjW7ZzsEUXCS4AkhhBDCLbLSM3l85ibOm4IIs6Tx5ZP3s2P7XJqm78Ki6DnRaDJhweGeDhOARzo/xYqwRwHocnou23/bBMCzwx+jtyEBgFeP2Phl/a8ei1G4z5mLp2iZug2A5EqPFKiNPVv3slHr2hbh5e73uTM8j9NqtGRo/YH8b5kA4B/kh5fTjqooxCamFUaIIh8kwRNCCCGEW7ww9WtOmEIItGby5aB6nEk5wiMXFwKwomQ/2rbo7tkA/0fHQbPY6xONrzOboE0vkJLmWkXwtVf70sx+BZtWz3PrznP8wDEPRypu18617+PtNHPMVI4u7Z/Id32n08kb3x8AoC3x1Glc280Rep53QFjOlgmp+dwyQVEUIvyNAKSoOunF8zBJ8IQQQghx2xbN+541ajga1cn0liUJLhtMqW2vYnJa+dX3Ph594m1Ph3gNb5M3SocZJOn8qZZ9gq0LhwGg0+uYO6EnVcwJpOm9GTh/N/GX4jwcrSgom81Ko8R1AOwJa4dWp8t3GzHLt7DPGIbeYWPcwJbuDrFY+PeWCYo5Jd/1/QL98FLtqEB8kvTieZIkeEIIIYS4Lft3HmTqCdeqk08FptGqU1O2LRxOZfMpEnSB+HSZgV5v8HCU13df9YasrzwSgK5Ja1j6zQwAfPx9WTiyDeGWVC6aghj8zlqys8yeDFUU0Her5lLOcolUrQ8Pdsr/1gh2m523t18CoKdPKuWqlnd3iMWG0xQIgK8jA6st/71woT6uv+fJDi12W/4WaxHuIwmeEEIIIQosJTGF577ej0VroKE1lrFje7Fs+Sy6Jq0BYGPlEdSoVMfDUd5cr8dGsTL4YQCaHp9L0t/D0yLKlmR+n1r42MwcMIYxfNKXsn3CHajUGdf2HFsCWlIyNDLf9Rd/toYzpmB8bdmMeuZhd4dXrAT6h2BRDGhRSU/Nf691QJBfzoqaCbKipsdIgieEEEKIAnE6nYx8awUXTUGEWtL4YPTD/HXmIA/++R4Aq4I70Ouxot3MvKAe6DeDy/pQSlnjWP/VpJzj1etX5/3moWidDjZowpnx7teeC1Lk2469W2iU/hsAIY0G5rt+ZloGHxx19dwOKWknOCLEneEVO4qikKnzA8DLnl6g+iW8XENgk+wKTofDrfGJvJEETwghhBAF8tH7y9miDUfrdPB+x4qElQoj6fuxlLAnc8xUjgcen+XpEPMsLDicLVG9AWgft5yjp4/knGvVuRkvlXUNN5ub4MOuzXs8EqPIv9gd89GgssO3Lk3rP5Tv+nPmriLR6Ee4JZWnn+lcCBEWPya/EqiAt9NMWkZKvusHhfijVx3YFQ2JsqKmR0iCJ4QQQoh8+3XTbmZccs23GVnSTKPWDfj62/domr4bq6LjbOMplAgK83CU+fNIr1f406siAY5M/lr9eq5zg57tyoOOKzg0Wp5ffYyUxBTPBCnyLC4plgdTNgNwrmz+h1bGXohlQbxrZcgR0X54+Xq7Nb7iytvkTYbGBwBHZlK+62s0GkIMCgAJZieqM/eWC2fOnEFRFPbt23fbsRZEYmIi7dq1IzIyEqPRSOnSpRk2bBhpaXdPMioJnhBCCCHyJf5SHMPXnMSu0dHCHstzIx4lLSONBsc/BWBtcEceatrFw1Hmn8lo4nCVIQB0SI7h5z0bcs5pNBqmj+1GuCWVy8ZAXnx7hafCFHm04fuZBDgyOG+IoGvn5/Jdf/q8H8nSmbjHnEDPAR0KIcLiy2Zw7Ynn68jAUYBhliEhAWhVJzaNluRitqKmRqOhS5curFq1imPHjrFw4UI2btzIM8884+nQ3EYSPCGEEELkmcPuYNi7a4gz+lPKnMLMF7uh0WhY++V4ylsukKAL4r5HJ3s6zAJ7tMtz7PCt6xpi9vOMXOeCwoKZ0b4iGqeDdUo4iz9d5aEoxa047HbqxsUAsD2kDSaj6ZoyiXFH2b1rHmvWjWPRd/2Z+dXDTPqiOaMWNaDfZw1ZFbINjSGOlx4sj1anLepbuIaqqjizsgr2ys7OV3k/gw8Wsw1tdibJV87ma+PzmJgYmrdozgPR5WlWowLdez7GiRMncs6XL+9ahbROnTooikKLFi0A15zeKVOmEBUVhdFopHbt2sTExOTUu9rzt2zZMpo2bYqXlxf169fn2LFj7Nmzh3r16uHr60v79u2Jj4+/YXxBQUE8++yz1KtXj7Jly9KqVSuee+45fv7553w+keIr/xuBCCGEEOI/a9Z7y9hlCMfgsDG7RzSBoUEcOXmADrHfArCuVB/6lryzl5HPavg8jk0DaJm2g+9jFtGl3YCcc43bNOSpvUv4KDWQN/6y0/DAMSrVvNeD0YrrWbtxCZ2zT2HWGKjf/v+uOf/6kgdZbo/DjnL9BnSgD9qDIfB39qSH0sL+Y4H2z3MnNTubo/fVLXD92Nu4dvDve1G88zZENTMzk1GjRlG1SlUOn4vnw+lv0rVLVw4cPIBGo2H37t00aNCAjRs3Ur16dQwG11DvWbNmMX36dObNm0edOnWYP38+nTt35vDhw1SqVCmn/YkTJzJz5kzKlCnDoEGD6NOnD35+fsyaNQtvb2969OjBhAkTmDt3bp7ivXTpEitWrKB58+b5f2OKKenBE0IIIUSeHN5zmLlxri95L1ZwUvuBWgCcXvMaAY5MjnjdQ/c+EzwZolu0btqZdYGtACh3YA4Oe+79vMaM6UltSxzZOiPD5u/EIvvjFTuGP1cC8JN/YyqW+ScBN2en8uyi+/jaHo8dBaOiEqRRKaVRuVeBOoqGWtYALPGtsWfcg6o4WGK/Qp8v63DmxGYP3Y3nZZmz8ly2e/fuPPLII1StVpX7a1Rj8vQPOXzkMEeOuBYuCg0NBSAkJISIiAiCg4MBePfdd3nxxRfp1asXlStXZtq0adSuXZuZM2fman/MmDG0bduWqlWrMmLECPbu3curr75K48aNqVOnDoMHD2bLli23jLN37954e3tTqlQp/P39+fTTT/N8j8Wd9OAJIYQQ4pbsNjtjluzBZgrlflssTzw9EIB1W5fTPtk1V+1Yjeeodp2hcHeiqPYvk/X1z9TK+ouvlk2jd59Xcs7p9Dref64VHT/axVFTCV57+2tenzTgJq2JonT28mmap28HwFylW87xuMsHeW5DH47+/XNXTSCTem+5pmeux6j5WA3htHZcpkzNJaxwxnNEVeizYzjPHWpAv67zi+pWclG8vKj8+95813M6naSlp+Pv54dGk7++nczYY/g4s0m2ZeBLiTzVOX78OBMmTGDXrl0kJCRgd7j2jjz21zGio6OvWyctLY1Lly7RuHHjXMcbN27M/v37cx2rWbNmzp/Dw8MBqFGjRq5jcXG33sPvvffeY+LEiRw7doyXXnqJUaNGMWfOnDzdY3EnPXhCCCGEuKUPZn3Ln6ZQvO1m3n6mNRqNBofdTok9M9Cgssm/CV07DPZ0mG5Ts/J9rC3hWiim8dkvSMvIvVBEmUpleK2uayGKxeYSrPtua1GHKG5g+w+z8XJaOGEqy8Ot+wJw8MBS+m7szVEV9KiM8KnOa4//fE1yt3n1z+w2uLb+GDegBRMe38Ks8v0J16ikqwrTUvfw3KK6pKScLfL7UhQFjbd3wV5eXgWqZ/ULReNlwteZked5eJ06dSIpKYlPPvmEXbt28f0q1zy6+JQMt7wPer0+13tyvWNOp/OW7URERFClShU6d+7MvHnzmDt3LpcvX3ZLjJ4mCZ4QQgghbuqvP/5ibqyrZ25sRQ1lKpUB4Otlb1M38xBmjQH/1q/crIk7UpPHJhGnD6aM5TJrv7x26GnXPm15ROvqKRj3cyyx564UdYjifzjsdu5L2ATAnuAH0ep0/LjhFZ7e9zpXnAp+ispbUd0Z8ujSa+o6nU7e2XQSgG6GRO6JvgeA5s1e4NtOa2mGa67Yz1h5dHVHftr2dhHdlef4B4TiQINRtZGSmnDL8omJiRw9epTx48fTqlUrqlatiuJwDWE2o8WcZc6Zc/fv1Tn9/f2JjIxk+/btudrbvn071apVc+MdXd/VhNBisRT6tYqCJHhCCCGEuCG7zc6YRTuxavXUt8Yy4GlXr1ZCchzNziwEYHWJrtSv+YAHoywcJUMj2RDZC4D2sd9y6vyJa8q8Pq4H5cxJJBt8GT7zhzz1HIjC8+PWb6iSfQqzoqde22eY981jvHzpe9JVhZIalU/um0ybVtdf5fX7rzbwpykUo93K6CFtcp0LDCzL7AF7GRfQAD9FJdap8Pzpz9mybVpR3JbH6PUGMrS+AGgsqbcsHxQUREhICB9//DEnTpxg8+bNvDz+ZQBUIC4pg7CwMLy8vIiJiSE2NpbUVFe7Y8eOZdq0aXz99dccPXqUcePGsW/fPkaMGOHWe/rhhx9YsGABhw4d4syZM6xdu5ZnnnmGxo0bU65cObdey1MkwRNCCCHEDX304QoOmcLwslt49+kHc+bwbF46gShrLJf1oTTv9fotWrlzde8zkWOmcgQ60tm/cso15739fHi/d20MDhu7DOHMn7uy6IMUOTSHlwPws38jPt/2JB9m/YUdhaoKLGnzNdWju1+3ns1i5b09rt7YPgEZlCxX6rrl+nb9jC8bf0hFBewovHH2C9JTLhbOzRQTqikAAD9HBhbrzXu4NBoNS5cuZe/evURHRzNy5EjeeeednPOpqhanw8n777/PvHnziIyMpEsX1y+Nhg8fzqhRoxg9ejQ1atQgJiaGVatW5VpB0x28vLz45JNPaNKkCVWrVmXkyJF07tyZNWvWuPU6niQJnhBCCCGu68TB43xwyTW3ZWQ5lbKVywHw++FdPBz/HQBbyvYnLDjcUyEWOpPRxL57ngCgQ9IP/Lpv2zVlajaswf9Fur74zjitcvbomaIMUfztYtwFmqX+AsCOAD0rnSkANMPA4p47CQ2vfsO6Sxb8wDlTMH62LEY88/BNr1OuYgtmPjAL37978l7+vovb7qE4CvAPwawY0KCSkXbj/eWuat26NUeOHMFsNrN//36aN2+O0+mkY5u2qIpCQmIaQ4YM4dy5czgcDrZu3Qq4ksOJEydy4cIFrFYr+/bto127djntlitXDlVVqV27ds6xFi1aoKoqgYGBOccGDhxISkrKDeNr2bIlO3bsICUlhezsbI4dO8Zbb72Vq407nSR4QgghhLiGw+5gzPxfsGgN1LHEMfiZrjnnEte/gbfTzB/e1ejZ62XPBVlEuncdxi7f2hhVG0lb379umWeHdSfaHEeWzsSYeZtlqKYHbF3zIb7ObA6aolivOwZAC4zMHrAXg9H3hvWyM7KYfTQbgMElHQSGBt3yWuXueZBn/Vx70m3FwjdrhrrhDoonRVHI1PkB4G1Lu0XpG7cR6uP6ZVGyQ3PN1iPCvSTBE0IIIcQ1PpnzHfuMYRjtVt4Z3BStTgvAqphFPJT6E04ULtd7Pk+bPx/7cw2fLu/N84vq88jnNXhqUR0OHrh2kYviSqvTcbm6qxevdeoW/jiy+5oyOr2Odwc0wuCwsccQzqJ53xd1mP95teJdi6u8G+pHmqpQQqPyWpflt6z3yceriTf6E2pJ46mnO+X5ev27LaLR3zuOzUr+iUvn9xQs8DuAt38oTsBLtZCWnlKgNgKC/TE4HTgUDYmJBUsURd5IgieEEEKIXE4dOcXMc66vCMNL2XJWE3TY7ZQ+8BEA6wIfpMODPa+pm5URz8ofRzHxi+b0WVSTJl9E0333S8zKOMQmzBxXYSd2Hv/jdYYtqsfZU78U3Y3dhq7tB/K7TzQG1c6ZTdfvxatSpwrPhrtWDHznpJNzx88VZYj/aeu2Lic6+xjbvbz5XZcJwP+FtCIwsOxN66UkpvDpRddn/bl7TXj7+eTrum+2X0oJjUqqU2HcliEFC/4O4GX0IlPjem8cWUkFakNRFEKMrm0NEq0qqjNv2y6I/JMETwghhBA5nE4nL3y6FbPOSA1LHM/83z+LUiz/fjZ1so5g1hiIbHft0Mxjf66h83cteTVuAyucSRzE9cVXQaWkRuV+dPTVRXCPAg4UfsJC91+e4aXPHyAx7ug17RU3J8o/BkCb5A0cP/vXdcv834hHqWaOJ0tnYuzcjTJUs4hY9y8jW1F4NSwMgAfQ8UiHWbes98Hc1aTpvSltTqbfoI75vm5IWGVeiOiCBpU/VCdzlj2S7zbuFDbDP4ut2B0FG2IZXCIArerEpmhJSZZevMIiCZ4QQgghcnz+8Sp+M4RjcNiYPuCBnKGZDrud6ie+AODHoHbUqlIvV72DB5by1G/jiHUqeCkq0YpCV00gk0MfZEv75ax//BCfDPiDcX038G2fP3g5sBGRGhWLqrBGTadTTHfeXNKarMyC9Q4Uhe5dh/GnV0V8nGb2rZ1x3TI6vY53+zVA//eqmos/XV3EUf73XEm4TPO0n5kbGEC8xkmARuW1Np/fut7ZyyxJcfVKPV+3BHqjoUDXb//QG7RRXHP8FpqP8efh7wrUTnEXGBiKTdGhw0Fqyq0XW7kerVZLkNbVc5eQaXNneOJfJMETQgghBADxl+KYcdz1peuZsGzurV0559yyb6dTPfs4GRovqj48Lle9P/Yu4Ln9r5PoVAjWqHxScxxf9T/Aa4//zCMdZhESVjlXea1OR+8uH7O2528861WJEI1KuqrwpT2WDiua8d0Pzxf6vRaEVqfjjyhXD03rpB+5HH/puuWq1avG06GuRTvePmrjwskLRRbjf9GmtbM5r7WxKMC1EMiTvvcRVrLGLetN/3QdZp2RKuYEuvVtc8vyNzO5+w+U1qhkqwov752A3Wq+rfaKI41Gk7MnnqGAi60AlAjxQ1EhW6MjIy3DXeGJf5EETwghhBAAvP7BWtL03pQ3JzLs//4Zama2mKl3ZgkAMSEdqVL+n+Xmd+78kGGHp5PiVAjVqHx032vUqt0vT9fTGUw812MFP3TbQm9dGL6KSqJTYWrCRnbt+si9N+cmjzw6hjPGSILsaWz97u0blhsxojtVzAlk6L14Yc56GapZiKrEbmBCiWCcikIdRcOAbrfuvTt55CTfWVyrZY5tVSFnf8eC8vYJZuK9w9CjckKFN5e1v632iiutdzAAvs4sss1ZBWrDYDTgr7iGeMan3n2JcHEgCZ4QQggh2LFhF9+rrvlLU9pXwmAy5pxbvmwalcxnSdX6Uq/rKznHt2ybxsjjH5GmKkRoVD65/z2qVu+W72t7+4byct9NrGm3nHKKillVeOnYh8Re2nfb9+VuJqOJ7RFdAWgZv5qUtOTrltMbDbzd+z70Djs79OF8tWBtEUb537Hx51Xs1V/imNGAtwJTGt963h3AWwt/wq7RUc8aS6tOTd0SS8OGz9BDVxKAFY54tm9/zy3tFif+vgFkaUwoQFZ6QoHbCQ30BiBD0WHOliTP3STBE0IIIf7jbBYrr651LXLSkViatm2Ucy7LnEXjC64tDWJKdKJcqQoArN80kRfPfEGmqlBKo/Jp44+oWOmh24ojJKwyMxu9R4BGJd6pMGzj41gtxW8IV8fuL3BFH0KELYG1y9+5YbmaDWswJMQV/5tHLFw+c7GoQvzPOLPvYz4Kci3+0c9YkXIVW9yyzp6te9mgCUdRnbzcrY5b4xnb80eqKGBH4bVTn92VQzWz/94Tz8eejqoWbCVMb19vfFQ7KpCQVPz+jt/pJMETQggh/uM+mvMdJ00h+NqymTAs90qC3331OuUsl0jUBdDs0QkArIoZyysXl5OtKpRRVBa0XETZCk3cEkvFSg8xqdRj6FD5S4UXlz7olnbdKdA/iC2hDwPQ+MpKzJYbf4kf+fyjVLo6VPPDGBmq6UZX4i6wyXgCm6JQUTXyXPdvb1nH6XTyxvcHAGhLPPc1dW+Cp9XpePP+dzEqKhedCotWD3Jr+8WBr38oThRMqpW09Ov3YOdFCV/XKIEUpxa7TTY+d6c7NsFLSkqib9+++Pv7ExgYyODBg8nIuPFvAM6cOYOiKNd9ffPNNznlzp07R8eOHfH29iYsLIyxY8dit8uHTgghxN3p/MnzzLmoB2BkRQ3hUeE551LSkmlx2fVv5PqwrpQMjeT7H8cwOe5HzKpCBUVlYduvKRlV160xtX5wIkO87gVgI9nMLoZLz7foNo5knT/lLBf5bvn0G5YzmIy827MOWqeDn3URrFi8rgijvLu9/f1ADhn1eDlVJtUag1anu2Wdtcs2sc8Yht5h46VBhfPLg3vubUsL1bU657KsAzjusu+RRoORjL/3xFOzU/Jd/+p38lNnTmB02nEqCgmJqW6OMm8SExOJiopCURRSUlI8EkNhuGMTvL59+3L48GE2bNjAmjVr2LZtG0899dQNy5cuXZrLly/nek2ePBlfX1/at3dNhHU4HHTs2BGr1cqOHTtYtGgRCxcuZMKECUV1W0IIIUSRmvjRerJ1RqqZ4xn4VJdc535Y9jqlrHFc0Yfw0GPjSUk4zfSEGKyqQiUFFnVYTWh49Ru0fHuG9lhBa0wAfJp9jI2bJxfKdQqqZGgkG4PbAVDr/Iqbfomv1agmT/i7Vh18fV868ZfiiiTGu1nc5YNs18UC0NIaSu06vW5Zx2ax8s6vrjp9fNMoW7lcocU3ovkMDIrKJafC4ruwF89u9AfA15GBw+EoUBuKohDi5UrKk2wKTkfR924PHjyYmjVrFvl1C9sdmeD9+eefxMTE8Omnn9KwYUOaNGnCBx98wNKlS7l06fpLFmu1WiIiInK9vvvuO3r06IGvr2vJ1/Xr13PkyBEWL15M7dq1ad++Pa+99hqzZ8/GarUW5S0KIYQQhW7dd1vZrI1Aozp547HaOXveAcQlxdI6dgUAmyO6UyIojNfX9iLZqRCoqHzS7lsCS5Qv1Pim9dqSM59p0sVvOHl8Q6FeL79qdxxNpsZEtewTLF8196ZlR496lLLmJFIMPkyYtaaIIrx7TY35P7I0UN5qo3vDKXmqs+CT1ZwzBRFgzWTkc50KNb7S5RrTTPUC4OuM393Si6eqKjaLo0Avu7Vg9a6+/neuXWDAP3vipaTm/oVFTEwMTZo0ITAwkJCQEB5++GFOnjyZc758edf/N+rUqUNoWBBDHnsYu6IhMSGFKVOmEBUVhdFopHbt2sTExOTUu9rzt2zZMpo2bYqXlxf169fn2LFj7Nmzh3r16uV03MTH33qfvrlz55KSksKYMWNu57EUS7fuyy6Gdu7cSWBgIPXq/bPJauvWrdFoNOzatYtu3W69gtfevXvZt28fs2fPztVujRo1CA//Z3hK27ZtefbZZzl8+DB16lx/nLbFYsFiseT8nJbm+i2dzWbDZpNNHD3h6vsu779nyPvvefIMPK+4P4PszGym/HQRTIE8akggukG7XLFuWvYavW1JnDdE0PaRcezcOZuNZAIK/b2i8Q+qUOj3pmiMvNd8If23DSDeqfD8zpEsDt2At0+JPNUv7GdQLrIia4Meomviaiqc/Bqb7ZkbltXptbzRviKPb07kRyWcH77ZyENdmxdKXMVJYTyD1JRz7FJcc7+aWwKoU/3+W7aflpTKnFMOMMCTUSo+gb6F/vl9ruEbbNs9ivNOha/WPEXPjvPyXNdms6GqKk6nM2feps3i4NORPxdWuDc15L2m6I3aXMcytL4E2VMwWNNxOv/57pyens7zzz9PzZo1ycjIYOLEiXTr1o3ff/8djUbDr7/+yv3338/69eupXr06KSlZ2IEZs+cwZ9Z05s6dS506dViwYAGdO3fm4MGDVKpUKed9mDhxIjNmzKBMmTIMGTKEPn364Ofnx3vvvYe3tze9evXi1VdfZc6cOTe8nyNHjjBlyhR27tzJqVOnAHK91wXhdDpdSbjNhlab+70q6n8H7sgE78qVK4SFheU6ptPpCA4O5sqVK3lq47PPPqNq1ao88MADudr9d3IH5Px8s3bffPNNJk++dujIli1b8Pb2zlM8onBs2FC8ftv7XyPvv+fJM/C84voMfvrpNBdNlQi2pFGvpjc//PBDzrl0SxodEr4H4MeA9oRu2cqijLk4UKgClNA+lqt8YRvgbMWHyibOqAqjvmvHwwET0Gjz/hWmMJ9BYlATrEk/Ui/zILMXvk1UWPRNy7czn+FHr3uYuD2ODPt3GL2NNy1/t3DnM9gV9w4ZBieRNjsGTbM8fRa3bD1NirESJbOTKFnau8g+v/fb9WzT2vkqbTc+q1fl+XOr0+mIiIggIyMjZxSZ3VqwoZDukJ6ehs7yP0mLxgtIwdeZSWJyIjqtay7vQw/9s5puWFgYM2fO5J577mH37t1Uq1YNLy9Xz6bJZMLb2xuT0cilLJXPPp7D0OeG0qFDBwBefvllNm3axDvvvMO7776bs9bGc889R6NGrpV+hwwZwpAhQ/j++++pUcO1uX2fPn346quvcjpc/pfFYqFXr15MmjSJwMBAsrKy/r7H9NvaD9FqtZKdnc22bduuWb/j6jWKSrFK8MaNG8e0adNuWubPP/+87etkZ2fz5Zdf8uqrr952WwAvvfQSo0aNyvk5LS2N0qVL07JlS0JCQtxyDZE/NpuNDRs28NBDD6HX6z0dzn+OvP+eJ8/A84rzMzh+8ARjtK4hVy/U9KPbY21znV/xyTCC7WmcNkbRs/9kvlg7gJOqgg6VF6uNplbtzkUccQc0a57inbQ97NY4qW39nGfysGJiUT2DDbM30CFlIzXTtnL/wBduWrbZA+n8MTWGK6YAdh+O482J+d838E7i7meQnZnEO9+nA/BIpoNeg8bjbbr5L9MvnbrICz+7emZG3RdM565tbjuOvKpyXMeOPS9yTlWwaNfTvcOHeapnNps5f/48vr6+mEyuuaiqqjLkvfzv2aeqKhkZ6fj6+qEoSr7rA+gMmuvU9ScrLhlvpxnFmY1/kOs77/Hjx5k4cSK7d+8mISEhp1csKSkJf3//nKlRPj4++Pu75vJdiT9LfOxlou9rmHMMoGnTphw4cCBXvQYNGuSUKVeuHAANG/5Tr0yZMiQkJORq599Gjx5N9erVefLJJwFyOmP8/PxuWCcvzGYzXl5eNGvWLOeZXZWYmFjgdguiWCV4o0ePZuDAgTctU6FCBSIiIoiLyz3e1263k5SURERExC2v8+2335KVlUX//v1zHY+IiGD37t25jsXGxuacuxGj0YjReO1v4PR6fbH7R/2/Rp6BZ8n773nyDDyvuD0Dp9PJ5MU7sRnCqWeNpceAgbl+a33y3DHaJ64GYGfpnrRKP82X1hOAQjvFn3r1n/BI3I93W8Chzxvxg5rB17aTPJ56Ic9zAAv7Gfg+8DTOHzbRNH03m3b/SKvGN06Ag0KDeb1FKYbszGC5rQRdt+ylSZv7Cy224sJdz2DOj0NIxUmww4Gf7gEC/AJuWefdhZux6MKJNsfT/fH+t9VLk1+Vq3XkgT0T2IaVL1O385ii5Gm1T4fDgaIoaDSaXPFqvbQ3qXV9TqcTnVWLwaRz+71na33xdprxsWfktN2lSxfKli3LJ598QmRkJE6nk+joaOx2e677+fefSwS6VuU0o8OSbcHLx9XLdzWp/HdZo9GY8+erQyH/95jT6bzhvW7ZsoWDBw+yfPlygJz5hWFhYbzyyivXHZWXFxqNKwm+3me9qP8NKFaLrISGhlKlSpWbvgwGA40aNSIlJYW9e/fm1N28eTNOp5OGDRve8jqfffYZnTt3JjQ0NNfxRo0acfDgwVzJ44YNG/D396datWruu1EhhBDCQ1Z+uZ5dhnD0DjtT+ze+5kvQH6vfwt+RyTFTeR7rOY4pGwaTriqEalRe6brCQ1G7jO/8LYEalVSnwjs/9PNoLP/WrEEbfvJ3DRmz7ll0y/KtuzSnI7GoioaXfzhBdkbRDt+6U9mtZlbazgLweGo6lZreePX0qw7sOshap+v73ksdqhZpcnfViAaT0aFyWlVYuW7UrSvcQXwDru6JZyE1PZnExESOHj3K+PHjadWqFVWrViU5OfdeeQaDASDX6pthEWGEh0ew77dfiU/OzDm+fft2t38HX758Ofv372ffvn3s27ePTz/9FICff/6ZoUOHuvVanlKsEry8qlq1Ku3atePJJ59k9+7dbN++nWHDhtGrVy8iIyMBuHjxIlWqVLmmR+7EiRNs27aNIUOGXNNumzZtqFatGo8//jj79+9n3bp1jB8/nqFDh163h04IIYS4k2SkpPPWXteXrccD0ri3duVc54+f/Yu2ST8CsLdcb376eRo/41pE7OnAJvj633qUTGHyCyxFT0MlANaRWqxW1Uyr5lqmv2XqTxw+se+W5V97vgvB1gzOmYJ4+73lhRzd3WHh6idIUFX8HE7KOytQv+YDt6zzxtd7cCoaWthjadzm1p0AheHeqg9zP66k5ovELR6JobAYDaacPfGcWckEBQUREhLCxx9/zIkTJ9i8eXOuaUzg6inz8vIiJiaG2NhYUlNde+CNfH4kC+bO4utVqzh44CDjxo1j3759jBgxwq0xV6xYkejo6JzX1VU9q1ates0aH3eqOzLBA1iyZAlVqlShVatWdOjQgSZNmvDxxx/nnLfZbBw9evSaSY3z588nKiqKNm2uHX+t1WpZs2YNWq2WRo0a0a9fP/r378+UKXlbflcIIYQozt79YCVxRn/CLamMHn7t3K/9a97Gz5HFX14V6NrpWWZc+BoVhdqKhp6dPvJAxNd6pttXRGlULKrCOzte9HQ4OR5u3ZcD3lUwqTaOrJ99y/LBESGMv881vPDz9AD27dhf2CHe0Rx2O99mHgSgV3o68VEdblln06pt7DKEo3U6eLlf48IO8aaG1X0FLSonVVj5493Vi2c3uOat+TkyUFWVpUuXsnfvXqKjoxk5ciTvvPNOrvI6nY7333+fefPmERkZSZcurv03x74whkFDnuXd116lbr26xMTEsGrVKipVqlTk93SnK1Zz8PIjODiYL7/88obny5Urd82eHQBTp05l6tSpN6xXtmzZIl0ZTAghhCgKx/YdZUmaP2jhpfoh+Pj75jr/7967P8r2YtX3j3FeVTAqKhMavOWJkK9LZzDxZEgrJsZvZidWdu78kEaNhnk6LLQ6HYdLdabm8b9ombSehOQ4SgTdvDfgkX7tWDVmPlt14bywbB9r61ZFbzQUUcR3lm9/HMZFVcHkdNI2S0upTs/dtLzD7uDNzafBVIJHjEnX9FYXterR3Wmw93V2Yufz+A109Wg07hUQWAJbbBx61U5SahytW7fmyJEjucr873fyq6tf/ptGo2HK+FcYPOolNKpKlQg/dPp/UpXrfbdv0aLFNccGDhx4yzU9btXGne6O7cETQgghRN44nU5e/Xw7Nq2OhtZYOvd66Joy/+69q1erDt/aLwLQVRNGpSrtizrkm3qkwyyqKwpOFGYez/veYoWtS/eRXDSEUcKewrqV7+WpzpvD2uJry+aYqQQfvC9DNW/kq+TtADyansFB/xb4evvdtPz8j1ZywlQCb7uZsc/curevKAyrNRYNKsdVWLNunKfDcRutRkuGxvULI701/bba8g/yw+i041QU4hNS3RHef5IkeEIIIcRdbtXSDTkLq7x2nYVV/rf37s3dL5CtKkRqVMZ0/84TId/SyMrPoUHliArfrvV8Dx6At8mbbSVcyXDD2LU4/mcvrOspWa4UY+91rbA3N86Lw3sOF2qMd6If1r/MSRV0qsqA1HSiGt98JdfYC7HMOu3qkXmulIOwUsVjXlXN2n2o//fguUWxaz0cjXtpfYIA8HFmkm3JLnA7iqJQwsv1HiXZlVwLsYi8kwRPCCGEuItlpmUwdU8SAP38r11YBXL33nkHJrIHBwoqz0d0weR162XoPaFhw2do/PfCFZ8mbcVuNXs4IpcHOo0kXevNPeazLF81N091Hn+yE/fbYrFp9Yxa8hs2i7WQo7yzLLri2rajU0YmZ7xqcX/tZjct/9rstWTovahoTuTp57oWQYR5NzR6BBpU/lJh/aYJng7Hbfx9A8lWjGiArLSE22orKMQfverAoWhIlF68ApEETwghhLiLTX//O+KM/oRZ0hgz4tqFVY6f/Yt2ia655/vK9WJJnKsnrz462j/0RpHGml8vNJmBSVG56FSYs6KHp8MBoGzJ8mwKbAVAmVN521ZCo9Hw7nNt8LVlc9RUghnvfVOYId5Rtv3yLkdUUFSVQSlpnIq8dnjxv21fv4s1ajgAUzpULnZzGuvUfYK6f/fiLbi40rPBuFmWzjVs1tt+e8M0NRoNIQbX/neJVjVno3SRd5LgCSGEEHep4weO8UWqa4W7cXWDrllYBWD/mmn4OrP506siUaWM/KmCgsqz1YrHsMebKVexBe0U19CwZbZTpKSc9XBELhHNnsaBhvszfmfjz6vyVCeqYhQvVXNtyfRJkq+sqvm3T099AUCbzCx88ePhzjf+XNosVib8cBSAjnhuW4RbGXLPIACOqE7+OpK3z8edwMfftSeel2ohNS3pttoKKRGAVnViU7SkJKW5KcL/DknwhBBCiLuQ0+nk1UW/YNPqqG+NpWufa7cHcvXeuXrs9pfryYKTCwGIVjTUq3/tfrHF0ehOi//Z/Hx1X0+HA8D9tZrmbHxu27swz/V6P9GRpvYr2DU6Ri/bjyWreAw79ZQ/fv+cfaprDtbg1DS2BbbA39f/huU/nrOSk6YQfG3ZTBjWsajCzLcHGg+ngqLiRGHBb296Ohy3MRlNZGhde+Kp2cm3KH1zWq2WYJ1rHmV8lv2uW+WysEmCJ4QQQtyF1izbxK/6cHROO689/sA1C6tA7t67WtWrsBfXoiD9Ih4u6nALLDCwLD0M9wCwTk3hzInNHo7IJaO6a+PzB1O35Wnjc3ANTXvn/zrgb8vipCmEt2f8t4dqzjs4ExWFJlnZVLXaCL//8RuWvXjqArMvagEYXl4hPCq8qMIskLamewHYTjrm7Ltnnpnd6Jqz6+fIwGa33VZbJUL80agqFo2OtJTbG/b5XyMJnhBCCHGXyUrPZOqueAD6+aZSpU6Va8r8b+/dx3tfx4FCeUWlQ5sb7xdbHD3bbWnO5udvbR/j6XAA6Ny2P/u9q2JUbRxZ/2Ge60WULcmEWq6htAvSAtizdW9hhVisJcYd5TfFtdjMwNQ09vjUonG9VjcsP/mj9WTpTFQ2JzDo6S5FFWaB9W83Bx9FJVVVWPLDs54Ox20C/UtgVfRocZKWEndbbekNegI1rh7c+AxZeCg/JMETQggh7jIzZn3HFWMAoZY0xgy/dmEVyN1717xxG35RXEubP+JbpyhDdYurm58D7MTKb3s+83BELoejOgPw4N8bn+fVo/3b86DjCk6NljErj5CdkVVYIRZb8zeOwKIqRNmcNDBbOB557RDjq7as+YX1mnAU1cnrXaNzbY5dXPn6R9BI9Qbgh8yDHo7GfTQaDRla12IrpttcbAUgNMQPBchSdGSkZd52e/8VkuAJIYQQd5Fj+46yKNXVA/RinUB8A6/dEPp/e+/mbXkes6oQplHp9/AnRRqvuzzSYRZVFHCi8OmR2Z4OB4CujzzPeUMEIfZU1n03I19133q+E4HWTM6agnlz+reFFGHxtclxAYBeaakk6QLo0GnodctZzRYmbTwNQFddAvVb1C2yGG/XwFrDUVA5psIfexd4Ohy3MfmVQAV8nNmkZ97e8FOjyYj/30PH41MLvr/ef40keEIIIcRdwul08vLn27Fp9dS3xvJIv7bXLffv3ruH2z3BRhIB6KArjc5gKsqQ3apnSHMAdmPl/JntHo7GtfH5L39vfH5/3FpstrwPMwsrFcbk+oEALM4KYufG3YURYrG0ftNELjoVdCp0ychkW0BzAv2Drlt29ocrOGsKJsCayav/17mII709tWr3o7Li2g5g0aE5Ho7Gfby9fMjUuHon7ZnXrqZ55swZFEVh3759eWovLMi1cEu6oiM70z1JnqIo17yWLl3qlraLA0nwhBBCiLvEt5//yG+GcPQOG1MHNrnuwir/23s3/8chpDoV/BSVpzve2b0I3drOpJRGxYbCnG1jPR0OAE06jSJd601F8zm++z5/X+K79G5DOzUWp6Jh7JpjZKZlFFKUxcuyC98D0C4zk0Cnk7BGA69b7tzxc8y74tpaYlRlI8ERIUUVott08K0FwK9KNhlpVzwcjftYDa7VTn0d6Tgcjttqy8vHC1/17168ZPcN01ywYAGXL1/OeXXt2tVtbXuaJHhCCCHEXSAlMYW3DrjmvDwRlEGlmvdet9zBVW/m9N490mUEq22nAHhQCcTXP6LI4i0MWp2Ohw2VANhKGumpFz0cEZQuWYaNf298Xu503jY+/7epI7sQYknngimIl9+6+1fVjL20jz8U15f5x9Iy2OFb97qLqzidTl6dtxGzzki0OY5+g++clV//rXf72QRoVDJVhYU/3nyxFVVVsZnNBXtZCljv71d+timIiYmhU6dHCazanIhqzejQoR0nT57MOV++fHkA6tSpg6IotGjRAnA90ylTphAVFYXRaKR27drExMQAEOpv4uL5c5QtHcqSxUto2rQpXl5e1K9fn2PHjrFnzx7q1auHr68v7du3Jz4+/pZxBgYGEhERkfMyme7c0Qv/q/jPQhVCCCHELU2duZIkQyilzMmMHP/IdcscPP4H7ZP/7r2r0I/fY4ZyxalgVFSGtpxVlOEWmkEPf8bXy5uRoip8tv4Z7vXx/AqFUc2ewf7dWhpk7mfd1uW0bdE9z3WDI0J4s3kET+9M53tnGPfPX0PvQXdmMpMX87eMwaoqlLPaqWOx8E2l6w+7XPLZan7ShaN1OnijZ120Om0RR+oeJq8Amqr+rCGd9Zbj3Hgbd7BbLLw/4NEii+3fhi/6Fn0eE6DMzExGjx5N2cggtGmxvDz9Y7p168a+ffvQaDTs3r2bBg0asHHjRqpXr47BYABg1qxZTJ8+nXnz5lGnTh3mz59P586dOXz4MJUqVcLr7168iZMnM/vDDyhTpgyDBg2iT58++Pn5MWvWLLy9venRowcTJkxg7ty5N41z6NChDBkyhAoVKvDMM8/wxBNPoPw9ZPZOJz14QgghxB3ut22/863VNTxtcsvSePl6X7fcqR/fwctp4YB3FR7rNpxv01zzuhqpJkpG3TmLU9yMt08wrRXXexHjuIDD4fnl1evXasJP/o0B0PyxMN/123RtwSC/FAAmH7Fy5Pc/3Rhd8eGw29nsdA1T7JWexlljKbp1ee6acicOHmfqUdewv6eDM6jVqGaRxuluT9R/GQ0qp1WFn3/J32I8xVH37t155JFHuLfGfdSOrsyi6eM5ePAgR44cASA0NBSAkJAQIiIiCA4OBuDdd9/lxRdfpFevXlSuXJlp06ZRu3ZtZs6cCUAJX9dw3Mef/j+aNW1G1apVGTFiBHv37uXVV1+lcePG1KlTh8GDB7Nly5abxjhlyhSWLVvGhg0b6N69O8899xwffPBBIb0jRU968IQQ4g528Pgf/HlgG874o3hbk0j3LUtYpQe4v86Dng5NFBG7zc74FQdwmkJp7YildZeO1y2399CvtEteD8Cxe/sTt+1NTqigQeXp+14sypAL3bOtP2TNht7EORXOJi4Cuno6JKy1+8O2n2mZ+gt79v9C/VpN8lX/pRd78/sLX/CHMYyhn+9hzT2l8fH3LaRoPePHTeO54lQwqCqdMjJZW7IHvfWGXGWsZgv/99l2sk2h1LTEMWr0jTc/v1PcW/Vhqu9+mYOofHlyMU2bjLpuOZ3RyPBF+V9R1el0kpaehr+f/3Xn5eaFzmjMc9njx48zYcIEdu3aRUJ8HE6nE4Bz584RHR193TppaWlcunSJxo0b5zreuHFj9u/fD4Cvv2uxlUpVqhObmEk5by/Cw10b2teoUSOnTnh4OHFxN9+W5NVXX835c506dcjMzOSdd95h+PDheb7P4kwSPCGEuEP8um8bpw//jCH5BCXNZ7nHcpoatiRq/LtQEnDuI9K2+hBmupfvLqxBiaxJg/sfpmzJ8h6KXBSm+fO+5y9TKN52M5Ofu/FeYVc2TaeuauM3nxp0e/hpBn7p6rGrjZboGo8VVbhFIqxkDR5QvdiMma3GMzcd9lZU2j/Ygz17P6R+5n4u/jQ33wmeTq9jzog2dHj/F06bQnhh6jJmvzWokKL1jBVXXPOt2mdkosXIAw9f+2X77Xe/4U9TKD42Mx880/KO2PMuL7oEP8DBpO3sUawkxh3Fx7/sNWUURcnzMMl/czqd6K1W9CZTgRO8/OjUqRNly5blk08+wdtLi78lgegHH8NsNrulfZ1eT5qiIzM9K2dIpV6vzzmvKEpOUplXDRs25LXXXsNisWDMRzJbXMkQTSGEKOY2b/uEcR814uNfB3Mo+VMM5hjuyd5HmC0JJwqnjKXZ5N+U70I6s8enFpkaE/6OTBpl/kGP+GU8tn88pefV4cDbDfk2n6v4ieLtytnLvH/atfjBsCgnpSpEXbfcjt+30iZlEwAXqj/BoUNL2a+6hrgNLN+naIItYk/VHYcGlVOqwuZtr3s6HABOV3DNvXsoZSOnzp/Id/2S5UoxvWUkGtXJWsL5/OPv3R2ix1w6v4c//t7vrEd6BpsDWlzzS6lf1v/K/PQAACbWMFG2crmiDrPQdG87kxIaFYuqMH/jCE+HU2CJiYkcPXqU8ePH06pVK+o1aExCqmv118zsNICcOXf/Xl3T39+fyMhItm/Pvb3J9u3bqVatWq5jV1fUvJKS5ba49+3bR1BQ0F2R3IH04AkhRLEUH3uYLzaNZYs1lrNYUL0UwPWb21V+rmFZIWiJsPgTkF4JJbEWaWZf7vHXcbp8MIp3HGmXf6eM/RxVso9S2nqFmll/UfOPl/jpxPfoW4zjgbotPXiHwh0mzfmRDH04lcwJPDW07w3LpW+biV51sNP3Prp2GMxzi+qionCvAi2b3V3DM6+qHt2d2nun8DtOllxcSVsmezokuncZyrHjC7jXfJo9a2dQ4Zn8/8LlwU5NefLQEualBvLGcSe1dx2kZsMat65YzH320wvYUbjXYqWGxUpSiwG5zqfEJzPmx1M4jQG0V2PpMfDu6r3UGUw0J4TlJLHRcYHn7HZPh1QgQUFBhISE8PHHH1OyZEnOnTvH2MnvAaC1uRKysLAwvLy8iImJISoqCpPJREBAAGPHjmXixIlUrFiR2rVrs2DBAvbt28eSJUtyXSMkwBsFyFR0ZGXkf1+81atXExsby/3334/JZGLDhg1MnTqVMWPG3Pb9FxfSgyeEEMWEOTuVxSsH0f/zWrSN6cUC23nOKFZURaGaVaVBejlKpd2DwRoCKiTi4LAxmR0ldvNLpU/Zd88KFqvZvHBEYexv4cw52ZgvLnbhG/0kvqr4Ed8HtseOhubpv1J3zWMs//AJLsZd8PRtiwLavPpnYpRwFNXJG12r33Co2pZff6B1yk8AJNZ+ikvn97BLsQDQI6jxdevcLfqVdq04uF91cOig57cY0Op0/BbpWhWyZeKPpKQlF6idsWN6Us8ai0VrYNhX+0lPTnVnmEXOYbezVXUta98zPYM9PrVo0ahDrjIvvvsdV4wBRFhSefOF668Se6cb3HQqOlQuORV27P7Q0+EUiEajYenSpezdu5fo6GhGjhzJlDdcPegmpwWzxYxOp+P9999n3rx5REZG0qVLFwCGDx/OqFGjGD16NDVq1CAmJoZVq1ZRqVKlXNcwehkJ+Lu3Nykz/4so6fV6Zs+eTaNGjahduzbz5s1jxowZTJw48TbvvvhQ1PxsbCHyJC0tjYCAABISEggJufM23bwb2Gw2fvjhBzp06JBrXLYoGvL+599vez5lzF8zSXT+s0RzOauNDplZ4GjIivMdOG4K+6eCJgudzyl8fA6j8TuJXeca+qKoWrzOdyA+oxFOJffv8Ex2Cz39TtHeew33Z/4BQJw+mA1RfenRZwL6/1nMQNyewvx7YMky89DL33LOFMQj2jhmvPHEDctumtGRVmm/sM2vIc1Gr+eNJa1Yao8jQqMS03sfWt3dO5jHZrPR46s6nFAVWmDkgwG/eTok0jLSyJpVhwhbAkvKDqXvE1ML1E7suSt0eG8riUY/2qqxzH1zYJHMr8qvvPw9+O6H55kQvwkvp8rmcxdYU+UVevX8Z6P6r+av4aVjChqng8UPhfPAQw2LKvwiN3BRLfbipI2hFENqv0f58uVve382p9NJWloa/v4FX2TldqiqivnKn3ipFhL1JQgJLX3bbVrNVo7GZ6IqCmW8NQQG+7sh0ttjNps5ffr0dZ9ZYmIiJUqUIDU1FX//wo+1+P2fQAgh/mN27fqIEX+6kjtfJ/RJTeeri1d4I9GX4/HPMS1+IMdNYfjbsuimjeOlUtksblGa3556iv3Pf84fg7fz1X0TqKyAqjjILrOKnlXfZVTAGf4vOJUWjlhCLWmYdUYWZVfl6cvPMt0wjDPGSMJsSfQ9/QFHZzzA6vWLPf1WiDya+f5yzpmCCLRm8uqILjcst37bd7RK+wUAc/1ncdjt/OSMBaCFJvyuTu6uam6pAMBOxczlC3s9HA34+/qztYRrpdP7r6zCZivYNg7hZSJ4r00ZNE4H65RwFsxb6cYoi9Z3Ca4l7TtkZJKsD6dr1//LOXfqyCleO+LqcR4SmHZXJ3cAj0a0B+BPHDjsFg9H4x6KopCl8wPAx56Wr03Tb8RgMhCsdc3hi82wuqXNu4kkeEII4UG/7pzNqKMfkqYqVLDaWXP+AiNSstnOo/SLf4EVDtfcmi5KHJtGN+e9N57g6f97lCZt7icwNCinnegaj7H4sV9ogh4VhTVKEvsiPubJp1qx8J1B7Jrek3eraShlTibV4MsHaQ/weNw4PjP1Il3rTXT2cdrtHM6XC1/21Fsh8ujwnsN8muiah/lCdS+CwoJvWNa45yMANvs3oU2zbmz66TUuOxV0qDzR7K0iidfTyoYMIPzvxSvmbhnp6XAAaNx5DGlaHypazrPiu4LvvdWs/QM8VyITgLdOafhl/a/uCrHInD31Cwf+XvDnsfR0toe0wWR09X7YLFaGf/wTWToT0eZ4xo7u4clQi0T7Vq9TUqNiRyHDnOLpcNzGNyAUJwom1UpqepJb2gwrEYBGVbFodCQn3tnDlN1NEjwhhPCQnTs/ZNTxuX8ndw4WXL7CWX0VBqW9zJtpD5Om96GiOZGvWocy680nCI0Mu2l7Jq8A5g74nZ66UBRU9micDFjVmkvn96DRaHi0f3u2vPUYL0eZCbJmcN5YgtdSOtM/5VU2me5Hrzroc2Y2Kz4cWOBeBVG47DY7Y5bswabV0cgaS68nrr/nHcDaTUtpnv4rDjRoGg0F4NsLqwCoiZbI0vWLJGZP02h1tNeWAWCzmkRWRryHI4LSJcuwMfAhACqdXXFbbY0c1YMmtlhsWj3PrLvA/p0H3BFikZm//RUcKFS3WKhg11C//T+9d29MW8ohUxjedjOznmqK3nj3DyPX6nQ017j2djPjuEXpO4fRYCJD69rHTslOcUubeoOeEJ1rO4TYLEe+t0a4m0mCJ4QQHrBj+/uMOv4R6apCeZuThZcvc0GpwOMpo/hVdw/edjNjwzOJmdaLRq0b5Kvt8X03M9qvLkZF5YQK/bY+wR97FwBgMBl5alh3tr3ajmcCUvC2m/lDX5YhKcP4VHUt/vBIwndsf78zcUmxbr9vcXtmv7+cP//e827as61vOp8m6I+PAdgY0JwWjTqQGHeU3xUbAJ1LNC+SeIuLQW3n4aeopKoKn64d7OlwAKj40P9hVXTcl3notoZHa3Va5k3sQbQ5jgy9F0988ycnDuV/CwZPsFvNbCMRgB5pGWzxb0bFMvcCMGfWNyzMcq1jML6qgYrVKnoszqLWv/EUNKg4gIzMm2/YfSdxGAMB8HOkY7bkf/XL6wkLDUCrOrFptCQmSC/eVZLgCSFEEfv5lxmMOvkxGapCeZvK55cukaxGMDBzDJmKN60dsax/tiFDR/Yo8G+s+3T6lGfsjQjQqMQ7FZ49PJ1VMf8sWuAXFMC4l/qy5fkm9DTEo3U6ed3Si5esT2JR9LRI30n8Jx3Z/5fnF6UQLsf2HWX2FdceTaMrKpSpVOaGZVf+MJ8HMvZiU7T4NXPtqbVo00gsqkIJjUrXtjOKJObiwtc/gpa49k9bYz2FoxgsQV+rSj02+zcDwPfQkluUvjkff18+H9eZCuZEkgy+9P90F5fPXHRHmIXqu/WjSXAq+DqdtMvMQnefa6uPZQvX8s4l1zDNp/yT6TO4kyfDLHKlyzXmHlwLbqVZ0zwcjfsEBpQgWzGiQSUr1T2Jq1anI/TvfybjLWquvfWKE7vNPZu855UkeEIIUYS2/fIuY0/NJ1NVKGtX+OLSRSxqAP3NL5Li9OGdqgqfvjOIqIrX37A6P0JDHubT+96klEYlU1WYGPsjGzfn3gssPCqcaVMG8m3XcpS0pPCVsyX9s18kSeNP9ezjhC3vxbqty287FnF7HHYHYxbtwKrVU88ayxNPd71JWTtRh+cDsD6wVc5+h5vt5wBoTOB/YnGV//Vs8+noUbnsVPhhU/GYa6pv4Fr9tHnaTrb/tum22gqOCOGL4Q8SYUnlkimQfjM3kRznnrlOhWV1kmsBoI4ZmfzpXZ02zbqxfuVWXj5iR1U0PKqLY9y4Ph6O0jOa+Lo2985GxeGweTga91AUhSy96xctfo40tyVjJUoEolcd2BUNCfEpbmnTnY79uYYeq1oX6TUlwRNCiCKyZds0xp5aSKaqUMauYcnF8yiqiQHmF7mghjLlXnhsQIdbN5QPFe9tx1ftVlJZATsKb1z8hvjYw9eUq/1ALda+2I5G1lh2UY2u2ZM5oSlFSVs8TbY9x9fLprs1LpE/H89ZwQFjGCa7hbeHtLjp0Mxvls+kXuZBzIqeiFajAdeQ4LNOBQ0qA+q/UlRhFytRZe+nDq7E9tsr6zwcjUurxp3Z7lsPDSpJ2z++7fZKVYhi8aD6BFkzOGkKYcCb35OVnumGSN3v8oW9HPx7cZVu6ZkcK9WB3Vt/Y/gvSdg1Oh50XOGtiY8Xy60fikL7pq+gAZxAUtp5T4fjNgFB4djQolftpKS4ZxqARqsh1KQFIN6mwWouXnPIJ+9+mfh/bYFUFP6bf2uEEKKIxV0+yKtnviBLVSjj0PHlxbMYnVqeNI/mL7UML5XKpt+QzoVy7aDQe3i/5XwCNSoJToUxMX2uO0QtOCKExW8P4Cn/ZM47Q3kkaxLbicbHaeaxI6/x5WcvFEp84uZOHjnJrHOuLy8jyjioUK3CDctmZKXT8JRrvuXakE7Ujb4fgK9OfA5ANUVDpSrtCzni4qtnlOvv2H4cnDm51bPB/C323p4APJS6mb9OX/vLl/y6p0YlFjxaBR+bmQPGMJ6c9DU2S/H6wgvw+U8vYUfhHquVYNWfyhXaM2T1acw6I/Wsscye3Bed/r/X03yV0eSH4eowTYd75qsVBzqtjnSdax84L5v75syFhARgctpxKgrn492zFYM7LFjRjwOoaCjaeCTBE0KIIjBh/QBSVYVgVctXF07j61QYYR3KLrUqw0PSePr/Hi3U60eWrs/Y0PZoUPkdJx980/W65bQ6LS+/3I859X1w2jQMML/AV44H0aDS5/w8lix4qVDjFLk5nU5e+OQnzDojtSxxPPXcIzctv+rLiZS3XCBBF0SD7q7huBlpV9ituOZ/tPerU+gxF2dtWk0hSqPiQOGzHa96OhwAunQYxCGvSpicVg7++J5b2qz9QC3mti6JwWFjuz6cERMX47AXr7lJPzkuAdA1PZPNfm145uujpOm9qWxO4LNXuuPlfXube98NfPSuVSfNgMV898zF8/IPw4mCt9NMSmqCW9pUNAqlQ3xQVMhUdMViwZX42MN8lrkPgKZ4Fem1JcETQohCtnrdC+zA9Rv0t69cwt+pMsE2kHXOBgzyTWLU2N5FEkfndu/QUeOa//CF7Qy7dn10w7LtH32Q7wfXoZw5hZdsg/nY7ho62vvsXL78fEKRxCtgwbyV7DWGY3RYefeJxmh12huWPXX+BO2vfAPAusielC7pWoRlccwwslSFAEWlR7v3iyTu4qy1rjQA20jGbi3ahQ+uR6vTcbB0NwDaJv7AyXPH3NJus/YPMKOeLxqngx8I58VJn2O3eX5xGXBtEXNeVdCpKk2yNSw6XZc4oz9R5mQ+H9OOgJAAT4dYLBiN/uj//nNi5mWPxuJOsVfi0Jaqw75DR9FkJ7utXS8fL0L1rl9kXDGrWMw33yh+4cKF1KxZE5PJRFhYGEOHDnVbLACTYvqT6lQI1qiMfehTt7Z9K5LgCSFEIcrKiGdW3A+oKHRKz6Kh2cJM+yMscbSmpyGe8S/3LdJ4JvVYxz0KWFWFCcc+JD3lxivtVaxWkVWvPUoH4phq78tCexs0qPQ89QFfLnm9CKP+bzp3/BzTT7qG9TwXYaVSzXtvWn7/ykkE2dM4bipLtz4Tc46vNx8F4H58MXnJF+fBD83BS1FJcios/eE5T4cDwKOPjeWYqTz+jkz+WP2m29p9uGdrpvz9sfnWHkavFz8n9oLntz/56tgiAJpmZbPW3IZjxpKEWNJZ/HRjwqPCPRxd8eL997zRDOzFZtihO/k5M8jMznBbe+FhwXj9PVTzQnz6Dd+zGTNm8MorrzBu3DgOHz7Mxo0badu2rdviiNk4np9xJZhP+zfi1z92uq3tvJAETwghCtFrK7oQ61Twd8ILSUlsctRhpr07DyuxTJ1Q9AsIGIy+TKv/Jj6KyiWnwovf33zen7efDx9OHcizgalMtvfnS3tLtDjpcXw6Xy2dVkRR//c4nU5e+GgjWToT1czxDB3e/abld+zdQsekHwH4o9JgvE3eAOzft5jjf3+/ebzmsEKN+U4RWKI8DVTX8L/VaXs8HI2LXm/g9/KuX/a0T/yBIyfdt1l5vyGdebsKGO1WfjOE8/D0zeza7Ln7NmensufvEQ0PZdj52NYWX1s2C3pVp1zV8h6Lq7gK9AlHAWwqpKffGb14MTExNGnShMDAQEJCQnj44Yc5efJkzvny5V3PuU7b3mhK3Ufb1q4VJp1OJ1OmTCEqKgqj0Ujt2rWJiYnJqXfmzBkURWHZsmU0bdoULy8v6tevz7Fjx9izZw/16tXDz9+PoUP6kJwQT6aiu+6qmsnJyYwfP57PP/+cPn36ULFiRWrWrEnnzu6ZB5+dlcKMyytRUaiLBp09mof3Fu30BknwhBCikPy6czY/qq55E68kJKB1GHnFNohWjjhmTul/0+F2heneqg8zzN+1efrPWJm/4ua9iBqNhhfH9eWFSDOv2Aez3NEUHU66H32br7/9b+2nVlQWzfueX/Xh6B123u3X4JaLTVh+ehuDamen73306D4i5/ji/R8CUEmBWrX7FWrMd5LHqwwB4E9V5eCBpR6OxuWx7iM55FUJH6eZoz+87da2ewzsyPIelYgyJxNv9Kffj5f45MPlOJ1Ot14nL75cO4wMnAQ7HPyV+iBeFjvzO5WjZsMaRR7LncBg8ObqbMRkSzJOq6NAL9XqLHBdp9WRr97DzMxMRo0axW+//camTZvQaDR069Yt5/O2e/duAFasWMblP9az4uO3sdltzJo1i+nTp/Puu+9y4MAB2rZtS+fOnTl+/Hiu9idOnMj48eP5/fff0el09OnThxdeeIFZs2bx888/c/r0aea/NxWAWAtYsnMP1dywYQNOp5OLFy9StWpVoqKi6NGjB+fPu2e10o83DOWyU8FbUZnUZBYVTy1zS7v58d9dnkgIIQqR3Wpm6vG5OFBolG2hfWYWr9gHE2R2Mvctz68O16/rfHYvqs8WzMzL2E/DQ8upHn3zXqJnhz+G/2erefHoEPRGO521O+lyeCrfaPU81u3/iijyu9+h3Yd46xSghWfDsqhWr9pNy6/8YT5d03bgQENmw5E5x62WDHYqGaAqPGS6+fDO/5qGDZ/hnqOzOaEqLPzjPabX7OXpkNDqdBypNIDoA+Npn7yOP47spk61Bm5rP7pBNGsqRjH8zeVs00XwxgUd/8/efYdHUXUBHP7NbMluek8IPfQO0nvvvUhVihRR+ECKgoqiqCgCCigoVUDp1UgJHYHQS+iEXtMgvW22zffHQjRS0rNJmPd58hB2Z+aebdm5c+8959wny5n1aR9sHeyyrZ1XiQh5zNrHD8EW2sTpuZxcG/+PWuFWyCNX2s+vnBR2JJkSSDRIBH9+NNPHyUrBDJ9pDRDU6bso2bNn6u+SZcuW4eHhwZUrV6hcuTIeHpbXu3jxUrh4qbGRDEREhzFr1iwmTZpE376Wz+OMGTM4cOAAc+bMYf78+SnHmzhxYsp0yrFjx9KvXz/27dtHw4YNARg6dCjLly9HazaSJCp5+CQO3yJqBMGSlfT27duYzWamT5/O3LlzcXJyYsqUKbRu3ZoLFy6gVqsz/TwlJ8dz0Gy5sNtfVZLzN+7RNeEST3K5yyWP4MlkMlkO+HFjN+5IAmoJvnjyhOOmimzWN+THQfVQa2ysHR4A3/XcQRFRIlES+PjsVHRJaWcdGzC0Mz+8Ycck3TD8TbXRSAY6XfyKzX5Zr+Elg8S4BEavPkeyQk0tfRhjx/V+5fYGg57SF38BwN+lFa0a/zPFaO2OUcRIlqvIb7eb/7JDvLbaaysAcFRIIDH+sZWjsejZ5T3O2VZEY9bzcE/21550dnNm+fdDGOMWiyiZ2YEXXT7bxM1LN7O9rf86tu8UbX/YSrjWkjXRJrkay74fKXfu0sHFqSgKLDXx8oMbN27Qr18/fH19cXR0pESJEgDcv38/1XaiKBKvtKwLNkU+Ijg4OKWT9kzDhg25evVqqtuqVq2a8ruXl2XNZpUqVVLdFh4eThF3O0RJem6qptlsxmAwMG/ePNq2bUu9evVYs2YNN27c4MCBA5l+3JIkEWOIxYRAaQFGv7kFt8u/A3DQsWEae2cveQRPJpPJstmNaztZb3wICIyNjMLFoKCfcRijfUyUr1He2uGlsLX3YHrFCQy/PJs7ksBnG9oyc+DxNPfr0rc19naHGfv3CFRaIy05R9vAz/Cz0dCl7cBciLzg+vjb9dzVeOKij+fnse3TnMa7fu10BiRdJ17UUqJj6gLmO+POAVBH0mDv6J1jMedXb3X4lRWbmhArCazYMZL3em+ydkgolErulB9CjbMf0jZ6L8fPH6ZetcbZ2oYoioz/sB/V/jrM+AMh3NS40e23QD7wvUC/t9tg52ifre2ZjCaOHLrDJoVAJc+D3BWgfLKBHv1mvLZFzDNKFBXYIRKrMpE8xoWS7hUytL/ZbCYuNg4HR4dMP+eCKv37de7cmeLFi7N48WJ8fHwwm81UrlwZvf75eowOTp6YnkSikdJfq1GlUqX8/mxU7r+3mc1mtLZaPOOSCDUIhCWDQ5IOjVZDoUKFAKhY8Z/ZER4eHri7uz/XCc2IiOh7GAEFEp9W+ID9x7bTOu4UZgSWBzcGtmX62Bklf7JkMpksm31xYhI6SaB8spEBsXHMNr6Ji07kvf+9egqkNdSoOYQhT6fv7ZbiX1k64d9adG7M0k6+fJT4LodMVbAz62h08lP+PuGf9s6yF9qwYgd/mj0RJDMzm3rjXbzQK7d/EhVO8werANju2Z1Kpaun3Hfz+i6uSJbr/X1L526m1vzC1s6VBlg6M/5PM43mBT26jOCkXTXUkpGoA9lTF+9FWnZuzF8j61JB95h4lZavH9hQ90t/pnyxgttXbmf5+PHRcaz9bTu9P17DBlUZzKKA2dmSPKa02RvfoqWz3MbrxEXjBoKATi2gN8cjqhUZ+hHUYob3SbX/045UWiIiIggKCmLKlCm0bNmSChUqEBWVuhTCsymQJpMJtdqGWIUDjg72FPL2JCAgINW2AQEBqTpiGeXh6YJWeppV80k8kiSljBIGBf3zuY+MjOTJkycUL148U+0k6+KIwQBAM9GRWrWHwmlLaQR/cx0uKHM3gZDcwZPJZLJs9Nvmt7iAhCjB108ec9Hsy9rk5swe3sRqSVXSMqr3ZioIYEbgh6D0T+Wr06wWK/pUYXLCCALNvriaYvHdO4YLQWdzMNqC6ealm0y9mATAIPtoWnVtmuY++9ZNxUcfTrDak5Z9vkx134oTX2NGoLgo0bDhuJccQfZOzUmISNyWBAICcq4zlVGhVYYC0Dr6AIdO7s6xdoqVLc7m6X0Z5xGPd3IM8Sotf+jcabXiMm9NWMY+v0MZSsSi1yWzc+N+Rny0jFpf72FyEFzQeGJj1NPffQv31aCWJLrUGpv2wWSp2Nt7on7ax8rLNfFcXFxwc3Nj0aJF3Lx5k/379zN+/PhU23h6eqLVavH39ycsLIxEkwoJ+Gjk28yYMYN169YRFBTE5MmTCQwMZOzYzL9fBEGgqJs9oiSRKCgJC4ukbNmydO3albFjx3L06FEuXbrEoEGDKF++PM2bN89UO8Hx9zEDCmBE6/kcPXuQFjFHAJhv6IJ7cu4Wqpc7eDKZTJZNwkMusjQ+EIDBMTGUTDbzkeFdPiipoFTFUtYNLg0Tyo1CROKKBOu3vZfu/SrXqczKdxowMeF97pi9KGoIQ7V5KA9CMj/N5XWTnKhj1JIAEpUaKuvC+fSjPmnuc/HGOTqGbwHgQNEBuLt4ptxnMho5guWKefOnRb1lL1ahUncqCpZToVU3f7dyNP/o0m4QAQ61UWImOeCnHG1La6th7IQ+HPm+Nz9Vt6z9NAsiR1ReDD0aR/Pxq/j5x/VsWbWLXVsOcnjXMc4ePsfVs9e4f+M+ESGPCdh9gglTfqP2J3/y3ukkdote6JQ2FEqO5h27CCaXikZvdxqAciYt9Wt1z9HHVFA5PC17Hk/GslrmJlEUWbt2LWfOnKFy5cqMGzeOmTNnptpGqVQyb948Fi5ciI+PDwP6v028aMeYof14f8RgJkyYQJUqVfD398fPz48yZcpkKSaNrQZPteX5CjcqCAuNYOXKldStW5eOHTvStGlTVCoV/v7+qaZ6pld0zAMSn/7uqLRFa+tMxKEFKDBzyFSF+3ovfu6V+VHIzJDX4MlkMlk2+Xr3O8Qg4GM08V50LAtM3XFOVvPOe92sHVqa6tYdScNrizmMniVRh+mWHI/aJn1rcUpXLs2ioSIfLEtmid0MKiTf5sTKt3AatQ1He8ccjjz/+3LGOoI07tgbkpj/XnNUNmlncHu4/SuqmJO4pC1L776fpLpv1/7PeWIWUAsSg1vOyaGoC46uzvW5FHWUU4KeiPAg3DzLWTskAGJrjIBDp2gZc5i9h/1SJdDJCUqVks59W9O5L1w5fYWlW0+wXefEPY0rs8KAMCNg5OW5GD1BDc76BFrbJdKzWUXqNG+PyWTi1yUfc9zGsjqpoX3G1o/J/uHmUITI2DsYJYiNC8bJsbC1Q3qhVq1aceXKlVS3/bdDOmzYMIYNG5by/6jox4iJCXwzbghTv56BxkbDf5UoUeK54zRr1uy52wYPHszgwYNT3ebh6YIxJJInZgVhRgXu8QaWLFnC0qVLM/MQUz2ux0bL6JwtAnqNM1dvX6Z19H4AFho6s7BdMcpVy90pyfIInkwmk2WDuzf3cwTLFLspTyK4ayrC8qS2zB7VOt8kEvi46Ty0gkSIWWDupl4Z2te3oi/zhnfig6QxJEg21E06z/Ff+mMwpH/h/Oto+/q9rE52B2B6bSeKlyuR5j4bt86nffQ+zAjcqjYalSp1h9AvxLIOsoqkyDOdlbysV7u5uIsSOklg6d4x1g4nRfsWvTng2AARCeXJBbnadsVaFZn99RCOT2rORK8EauvDqKR7TCldBIV10bglx2FvSEJpNgKgNSbTXgpjYR1bTn3bjZlfDaZeyzqIoojJaESj30eMQoGTJDK8W+4+loJEpbZF+/T3aH3aWY/zE2cnd5IEG0QkEmNCs/34giDg4+OGp8IEwBOzgkfBEVkeCX0SfQe9BALgrrXMpLi+8zc0GDhrLk3f6m/QoHXdrIafYfIInkwmk2WDuQGTMSBQOTmZ+onJ9DQMZ2IFW4qWyj9T5IqWaEjHI+5sNEWwxfiQwWGX8fCqlO79i5crwbfD+zBxaSLzbObSJuEwG396h17j/8jBqPOv+zfu8/GJKFDZ0lv1mC59B6e5T+iTEOpemQfANtf2dG03KNX98bGhnBX0IAm0d62fE2EXOEq1hqa4sYlI9pkeMcFoRKHMG6dH5rrvYd5zjGZxx9ixfx0dWqQ9fTc7OXu4MHpcb0a/Yhu9LhlRoXhpbU+/nUs4q44DtFTHNt0zA2Qv5qS0J9EYTyISJqMehTLzNdvyEkEQSFS7oE0OxckYTZIuEa3GNtvb8S7khhgWSahBJFJSYn4UQVEfNwQxfUlk/s1sNhJptlzYdUDERuNITMw9Wpkt2agP2bXng76tszX+9Mofl5VlMpksD3t47ziHBcsM/BHRsfxmao+jwZ7+73SycmQZ92G3DbiLEnGSwHf+72R4/2JlivHJ8Hf4wmDZt1fsX6yc96rTw9eTXpfM/xbsI1ZlS2ndE778OH2Fto+v+ZCi+lCC1Z7U7DvzufvX7v6AJEnAUZDo3mZWdoddYA1tPB0lEsFmgV37P7d2OClaNuzCPqcmADidzZu1JtUam5d27kxGI+63f+eo1jLdbnClobkZWoHk7FgEhWCpiRcR+8Da4WQrV1dvkgQbFEgkx+RcIhlPL1d8bCyjbtEoufcoIkPJhJ4Ji7qNUbJ0prwdixMVGQtSMnaCjuuKYowab72/JXIHTyaTybLop7/HkSwJlE3WUyVBwdKkDsz8X4d8MzXz32ztPXjbrhoA+0ng4oW1GT5G0VJFeX/YB/xofBOAtyL+YNmveeek2drMZjMTvlzFeRtPtMZkFgyuh9b2+fUm//XX7j/oEmGpo3Sk7CgKexZ5bpu9iZZ1L7UlrTxSkgFFSzSkxtNJTetDtls5mtQ0jf6HEZGG8afZumOZtcPJkHXrv+e2IgSzIFBMEKlVe1jaO8leSRQV2EmW75Y4s87K0WQvQRDQaS2F7x1NscQl5Nw0VHcPZwprBAQgVlBy91EkZpMp3fsbDTqiJUtZBCdBSWKCkcd6M/ZPl2qcKtb9uenzuSn/nX08FRkZyYABA3B0dMTZ2ZmhQ4cSHx//0u3v3r2LIAgv/NmwYUPKdi+6f+3ajJ/gyGSy18PjsMscIA6A4TGx/GrsygeVXdOsYZaXDeqyglICGBGYGfhtpo5R2LcIvYdMZZW5NaIgMSBkPr8tlUeUAL6fsYa/JC9Eycz3tRwoWz3tdXKx8bGUP/s9IhK7nZrRu9cHz21z7/YRrj2tfdezVL/sDrvAe9OnIwDnMfHgbkAaW+eexrVbs9ulJQCVL8whOjYqjT3yhtsPbtLqziL+tLcDoIXSx8oRFRyuWsu6XR2QlBRt1Viym4uzB/GiLSIgxYXlaFuu7k4UsxURJIl4Qcnt4CgS4xPTtS4vNOYOZkBEQJfoyv0EM05CIgrMhKg86N5nco7GnpZ828EbMGAAly9fZs+ePWzbto1Dhw4xYsSIl25ftGhRQkJCUv18+eWX2Nvb0759+1Tb/vbbb6m269atWw4/GplMll/N2z2SJEmghN5A5XgNJxNr0HtQ+7R3zMMUSiX/K9YXAYlzkpkduz9Je6cXKFyqKI0GzsJfqoONYKTn/VmsXLEwm6PNX35f/Ce/xjgD8FHhZDqnc33GrpUTKaO7xxOlM8W7vbjTverYVEwIFBYlGjca/8JtZC/XpvmX+IgSRgSWHs7cez6nlOn2NU+ULpTW3WPv7xOsHU66XNs0mUdiAnfVKlRI9G8yw9ohFRh2dh48GxuKTMz+hCTWZrbzQgIczQlExzzJ0bacXB0p7qBMqZN3M1rPtYeRPHz0hNjouBdO3YyPiyQGy+1GgwvxgqW0gotgGWg649YM2xxYP5gR+bKDd/XqVfz9/VmyZAl169alUaNG/PTTT6xdu5bg4OAX7qNQKPD29k71s2XLFnr37o29feppLM7Ozqm202jSnjojk8leP9FP7rBXslxNHx4Ty3xjdz5qXyVfTs38r5bNPqX20ylrC8L8MBmNmTpO8dIlKD1gASepgKOQRNvb01m1Mu/UG8tN+/wO8cUNy0L+t7VPGDkmfZlK9wX40fXxJgB2lxhKuZIvrqd0xGS52t1Q8MiGaF8/CqWSlgpL2vm/icCozzvT38oUL8+eUu8C0O3xFvwPbEhjD+va7LeIDtF72OxgOb+qJom4e8nlEbKTg2Dp4uXlmniZ5ejgTKzCAQBV0pMcf3yOzg6UdFZjLxkRJAmDoCBSUnI33sSVRzHcffiEyCfRREXEcOvBE+4mWsoiSGYVotEGV8FIIXU8aoyYBJGGra0/FTlvpInKoGPHjuHs7EytWrVSbmvVqhWiKHLixAm6d0+7gOaZM2cIDAxk/vz5z903atQohg0bhq+vLyNHjmTIkCEIwsuz6yQnJ5OcnJzy/9hYywtvMBgwGAwZeWiybPLseZeff+t4XZ7/n/zfIV4SKGwwUiHWno268tRtXjNPPO7seA3G1/ySgWc/5Z5Z4NdNbzKix/pMHad4yRIk9lhA0OaBlBMeUO/mN/yxTEWft3tmOrb84N+vwcUTl/jfoceYlBpamkL59KMB6XptdMk6PAK+QS0ZOexQhx49P3zhfqdPL+KBJCAi0bfWx3niPZgXZPRzMLDZbNbv7csTs8DGnWPp2eHnnAwvQ3r1msiBnw7RPPYoJU5OJ6J6izxZZ/JJ9BPeuDyHeEFgx9ML6HVMleT3ZAYZDAYkScJsNr9wFMnVoXBKTbyY2Ic4Ory8Jt6zDtKz4+UHSgdvzNHx2JmTiIwKw9nZM0fb09ppKWGnxWwyExebQGySgXhJxCSIxKIkVgdgyaiiUFhqQTpLNhQq5AQCGMKvAaATtdjbOj73fs/t93++7OCFhobi6Zn6hVYqlbi6uhIamr6h6qVLl1KhQgUaNGiQ6vZp06bRokULbG1t2b17N++//z7x8fGMGfPy2jjffvstX3755XO3HzhwAFtb6w7Rvu727Nlj7RBeawX5+Tfqo/E3W6aODI2J4SfjYJqXUrFjxw4rR5ZaVl+DZgYtu5U61upv4LVlJSob90wfK7T4SBzu/0ApMYSYuzP5/qtgKtcslaX48oMtazbz40WRRI0TFeMf0aGpG7t270rXvpH3dzIk8RpxCluue/UkcvfuF263/8kyUEJZBK4EJXElKG+9D60tI5+DN0wKjolm/ow+ijaPfZ4jvXsSmXiJ8km3WbXyQ+xLdLV2SM9JurOJvsmPWObsiV4AD1HC26VXgf4+yAlKpRJvb2/i4+PR619cT1QLJALRhliIdUjzmHFxcdkbZA5LVjjiaorBNjmC6Bg1opA7s2MEBTjZK3GUJAzJBnR6M5bVdQKiJhITYAPY2zgRFx+HQR+Lh6QnHhFJtOHQoUMY/zPrJTExMVdifyZPdfAmT57MjBmvnqN99erVLLeTlJTE6tWr+eyzz56779+31ahRg4SEBGbOnPnKDt7HH3/M+PH/rHeIjY2laNGiNG/eHDc3tyzHK8s4g8HAnj17aN26NSqVytrhvHZeh+f/h/UdiZXA02ikXIwbR/HlreFvWTusFNn1GjSIqsCJXT2INgsEJv/G1O4HshTXviOFsf17NG+IN4kw/cWdByMZ8m6PLB0zrzIYDGzb+hfLLpp4onGhmC6SZZO64Oadvu+FkxcO0/r8FgD8fN5mYJ8Xp5g3GnTM2vQpmAVaaMrSoUOHbHsM+V1mPgeOR4M4dvd3riBRuhSULZe3ns/1ax4y4PaPvBn9JwddOtO8ft4px7LviB8dYiyZXtc7OwAGGkouiAplgf4+yAk6nY4HDx5gb2//0qVCUmwsicY4EoHCtjYolDYv3k6SiIuLw8HB4ZUz0vIavUGDMSIejaQnwZSIo6t1E/XExYXw8OlInKeNK/Z2jiQlJ+KQaFmqEad0ws42iSZNmjz3mkVERORqrHmqgzdhwgQGDx78ym18fX3x9vYmPDw81e1Go5HIyEi8vb3TbGfjxo0kJiYycODANLetW7cuX331FcnJydjYvPiDY2Nj88L7VCqV/MfMyuTXwLoK6vOfmBDJNpOlRs+QmDh+Ngxn2siOefKxZvU18PAsS2+VL4uT77BHimZs5PUMFT//r3bNu7MlMYr2pybRWnGWNaFr+GUejJmQuwWcc4Nel8yqo1Hcsi+Kiz6e5SMa4l007e8osNQPUxyYhq1Zxxm7yvQe+PVLX0e/3ROINgtoBIl+bX/Ik+9Da8vI56B5048ocW8ldyWBP87O4NvKeWuUrG//KRyeG0DjuJP4HPsGQ522Vk/oAJbpxEVOfodKMrHWpQaPhAhEJN6u/SlXrycX2O+DnGIymRAEAVEUX7qu29mpKGGRVzBJEBn3EC+3Mi/c7tm0zGfHs7a7d+9SsmRJzp07R/Xq1V+6ncZGQ4TKGTdDBI6GKExmL1TKrL+Hli9fzpAhQ154X1hY2HOzBMHSSX5siAbAFnB0sGTKNscEo8BMoqjBydGL6Jh7L3yv5/Z73/qv8r94eHhQvnz5V/6o1Wrq169PdHQ0Z86cSdl3//79mM1m6tatm2Y7S5cupUuXLnh4pL0QPTAwEBcXl5d27mQy2etnsd8goiVwNZkoGeNNcTvffF0WIS0ju6/GQ5RIlATm7R6Z5eN17/gOW8pPxIRIP+UBpCh/vv76j3yzNiQ99Lpkxn+1jvP2RbEx6lnctQy+FX3Tvf+6FZOpF38OnagmoenUV9ZT2vHkEADVJRXOzsWzHLsM2tiUBuCwEIsuKedqcWWGQqnEseO3xCjsqJx0A78VH1k7JAC2rPyYyknXiVXYccDJUgusoiBSsnRLK0dWcAmCgP2zmnjSi6dx5ndOrj7oBRUqyUhc5IsTKWZUnz59nsus37ZtW5o2bfrCzh1ARPRdkrEUR/e2tXzfR0aG4GBOwAwY7LzzROf5mbwTSQZUqFCBdu3aMXz4cE6ePElAQACjR4+mb9+++PhYhm8fPXpE+fLlOXnyZKp9b968yaFDhxg27PkMN3/99RdLlizh0qVL3Lx5k19++YXp06fzv//9L1cel0wmy/v0yfFsMdwDYGBMLIt0PRgzqouVo8pZaht7uihLALBHiiLq8c0sH7Nf30msLTocgLHKzSQlneGdScuJi8pbJ9OZERcVw9ufrGKX6I0omZlZy45aTd9I9/5bdy7nzYeWgtZbvAfQpE6bl24b/eQO5wXLWo+Ons2zFrgsxZD2v2InSMSYBVbvfN/a4TynWvlabC9qGYHoFrqWv0/4WzWeU+eP0CVkNQBbCvUhULQkoWjvUMOaYb0W3Gy9AEgGEhNzdxrgy/j7+9OoUSOcnZ1xc3OjU6dO3Lp1K+X+kiVLApalUIIg0KxZM8Ay0jht2jSKFCmCjY0N1atXZ++evcSpXQGIunMZQRBYv349jRs3RqvVUrt2ba5fv86pU6eoVatWSvmzx48fvzQ+rVabKlu+QqFg//79DB364mnwktlMpNmyhs4eAa2tK3p9Mg7JlnX4MUpnnBxcsvy8Zad82cEDWLVqFeXLl6dly5Z06NCBRo0asWjRopT7DQYDQUFBzy1qXLZsGUWKFKFNm+e/MFUqFfPnz6d+/fpUr16dhQsX8sMPPzB16tQcfzwymSx/WPbnYCIkCUeTicJRJWhcrDwOLk7WDivHjeiyEldRIkESmLcre1JADxj6PRs83wTgK+VvuKqC6Prln9y8lPUOpLWE3guh55dbOaH2wsak5327e7Tvmf6O1/lrp2lw9ktUkon9jo3o/c6ri8Ov2j+BZEnAVZTo1HJ6VsOXPWXv6E1dSQvAjvgLVo7mxfq89SXH7N9AIxlw+vtLdMnWKetgMhox7PkcO7OOs3aVSXR4QKIk4ChI9G43zyoxFVSSJKHX61P9KJT2KAxGjAYjYTHBz93/7MdgMLz0vvT8ZKRUQUJCAuPHj+f06dPs27cPURTp3r17yiyNZ4Mve/fuJSQkhM2bNwMwd+5cZs+ezaxZs7hw4QJt27alS5cuPHkSR5JggwJLDFOnTmXKlCmcPXsWpVJJ//79+eijj5g7dy6HDx/m5s2bfP755+mOd+XKldja2tKr14tL1zyOvo1Bejp652iZJZEY9RCVZCRZUGHvWiTdbeWWPLUGLyNcXV1ZvXr1S+8vUaLEC9+M06dPZ/r0F38JtmvXjnbt2mVbjDKZrGAx6nVs0N0A4K3YOFbphrBsWN5JcJCTbO1c6aQowkrzI3abnzA++hEOzi9Py51ePUb8it+CeLpE7mSmaiHjbEfR/TctPzZ5RKuuTbMh8txz7dw1hqw8Q4jGHSd9AgvaFeVJUvqvo8bGxyL5/Q9PQyTXNSWo8PZiFMpXf00fePp+rCPZo1TLNVuz0+DK77P/0g9clyTOnV1JjTfSXrefmxRKJco23xC/tQfVE6+wZuXH9Bv+Y67HsW7NdPrHnyFZUBHT+FP2Xp8EQD3JDo3WSS6PkI0MBsNLz2Fz2ieffIJa/fKp4v/Ws2fqEjjLli3Dw8ODK1euULly5ZQlUm5ubqlyZ8yaNYtJkybRt29fAGbMmMGBAweYN28eX309FbgDwPuj36Nt27YAjB07ln79+rFv3z4aNmwIwNChQ1m+fHm6H9vSpUvp378/Wq32ufvMZiNRkqUUmiMiarUd0TFPcDJZSqIlaD1xzYZ1gdkt347gyWQyWW5bvf1dwiUzdmYz7lFlefON6qhs0veFVxCM6vI7zoJErCTw0/bsOdlVKJW0f28lO1xaoxAkflAvoJHNRUYcjWXeD+vyzbq8Y3tP0vuPi4TYOFMoOZoNA6tRp3mttHf8l7+XDqd64hViFHY8bvUDhTxenTHuxrWdXH96IbNPheGZjl32YjVqDqGsABICKy/+ZO1wXqh21Qb4FbZ8FruFrOJP/xW52v6f/ivofPcXy+8ePfGwS+DG0/fkW5Wzvl5Xlj/duHGDfv364evri6OjIyVKlADg/v37L90nNjaW4ODglE7aMw0bNuTq1au4ungSL1o6YDV9PdElW9Z5enlZpqhWqVIlZR8vL6/nkjG+zLFjx7h69epLp2c+jrLUGhQBL8fimEwmNIlhCECMwgHXHK7Pl1n5dgRPJpPJctvm2EsA9IyNZ1tiB37r/XolD7C196CDwpvVxjB2mMMYExuKvWP6skK+ikqlpvX7q/H/uQ/tYvYzT/0z7+vH8kN4La58vJwfpvTB1sEuGx5BzvBbu4cPz8STrLKlnO4JK8a1wbt4oQyNXKxe/in9o/wxI+BfYSJ9aqX93lp16jskBIqLErVqv/jkRJY1HeyqcD3+IseEJOKz6f2e3d4c+DXH5p6ifvxZWp38iM36ZHp0GZHj7W7dsYxWpz/B3pzEKbuqtBs4k+mb2yIhUEqwdJBl2UulUvHJJ5+88L57EddIREILlHCrkOo+s9mcUiYhs4lAMpIFsnPnzhQvXpzFixfj4+OD2WymcuXKL63nl+4YnCyzRmwVYIy6j9mzTErZh3/HJwhCui8OLlmyhOrVq1OzZs3n7jOZjERhidlRUKBS2xIZfg9XSY8RBTbZMIslp8gjeDKZTJYO5878xq2nf+idoivwXrvGeSpjVm4Z3XEFjk+TTyzYNijbjqtSqWn2/hr2ODVFhYn56nm0EM7iL3jR/bON3L16J9vayk6Lft7EB+d0JCvU1DOEsXFqtwxnVN2+by097i0EYKNnH/r0Gp/GHhZHsSRUaCQW3Ayu1jagwy84CZa1pyv8816yFbB8dkq9s5bj9jWwM+voEPgpG7bk7Ijj1h1LaX3646edu2oUH7oRW7Wao1gKabe0KZWj7b+uBEFArVa/8MfTzg2lSolRpUTA+Nz9KpXqpfum5ye99fMiIiIICgpiypQptGzZkgoVKhAVFZVqm2dTPU0mU8ptjo6O+Pj4EBAQkGrbgIAAKlasCICN2pLR3oSAvTmRmMf3Mv1cAsTHx7N+/fqXj95F38aUMnpXgriEWJyNlscSY+OOxub5KZ15xet3diKTyWSZ8MuFxQA0TEwiMKkl9VrWsXJE1uHgXJi2gmX9xDbTIxITIrPt2BobDQ3fW8t+x0aoMfKLZi6tOEuQxp22SwP5/rvVJCVaJ5HEfz0ODmfMx8uY/lCDWRDpLITx+/S3Mpxw58qtC9Q48RkaycBhh7p0H56+E/MDh2YQYhZQIPFWo68y8xBk6aDROtEQBwB26a5bOZqX83T1ouyITQQ41EZj1tPlwpes3fBDjrS1+a/FtD79CXZmHSfsq1N86AY8Xb3Y6D+WKMlSj/HttnNzpG3Zyzk6+KAUQAIi4h5aLQ4XFxfc3NxYtGgRN2/eZP/+/Ywfn/qilaenJ1qtFn9/f8LCwoiJsWRP/vDDD5kxYwbr1q0jKCiIyZMnExgYyNixY1Pt/yyrpospmpiYzGcOXbduHUajkbfeeuu5+0wmA9GSZRaGk6BEobRBjAtGRCJetMXVNW9fWJM7eDKZTJaG6Oh7nCcegHLRXrzbta2VI7KuMe2XYS9IRJkFFvq9na3HttXYUmfkWg461MdGMvCzdh5dhNMkK9UsiHai1Scb8d90IFvbzAiT0cSS+ZtpMftv/CTL2o/hDlHM/WZwhtdjJuoSSdw8Ch99OHdsilCs/8JX1rv7ty13NgJQEZEixetl7EHIMmRIrY8RkbgjCQQE5H4Sk/RydXSjyrubUz47Pa98zZo132ZrG5v9FtHu3BTszDqO29eg1NPOHcD26OMA1JTUcj1GKxAEAXsUAMRhvcQ2oiiydu1azpw5Q+XKlRk3bhwzZ85MtY1SqWTevHksXLgQHx8funbtCsCYMWMYP348EyZMoEqVKvj7++Pn50eZMqkLuDs7exClcAbA3pB6dDAjli5dSo8ePXB2dn7uvvDo25gABeDlVJLIiGDszEmYEcDRJ90jmtYid/BkMpksDT/5vU+iKFHIaOR2bFuq1a9q7ZCsytm9JK0ES80fP+M99Mnx2Xp8e1sH3nh3PYcd6qCR9HynXcAHbudw1cfzSOPCyFOJvDVhGbev3M7WdtNy8uBpOk78g68f2BCnssVXF8HKpi58+ulbmZquu2vxCGolXCBe1HKv2UyKFyqZrv10STGcFiwJBlo5VElja1lWla/YhYqC5fVddfN3K0fzao72jtQZtZm9Tk1QSSbeDPqe1b9Py5Zjb/T7lfaBU7A16zhm/walh67H3cWSYOLB3QAuSpbpdr2Kds+W9mQZ5/a0ALdegvj49CUZyQmtWrXiypUr6HQ6zp8/T9OmTZEkiW7duqVsM2zYMO7fv4/JZOLgwYOApXM4depUHj58iF6vJzAwMFV2+2cZ8qtXr46TR3HiRVtaNqiJLvgiGu0/WYQHDx5MdHR0mnEePXqUVatWPXe70ZhMjGSpL+okqIiJjcRFb6mrF61yxd7WIRPPSu6SO3gymUyWhmPGEADqx2jo31IupQIwps2v2AoST8wCi7Zm7ygeWE5Uqwxfz1H7mtiadbyf+CPjKl2gv80TFGYTR1RetPvtAtOn/0FiXEK2t/9vj4PDGfvJb/TZGcI1jTu2Rh0TvRLYNaMvTdo3yPDxTEYjGxYMo3vEXwD8VfYDmtXvkO79N/h/QJwkYCdI9G0zJ8PtyzKuq3N9AE4JeiLCg6wczavZamxp9P4G/J1aoMRM31s/sGrFlCwdc+OfC+gY+DlaczJH7WtSbsTGlM4dwIojn2FCwEeUaNXis6w+BFkmabROPOvmROmeWDWWnCaKIkqX4ugFFTaSAWPUvWzLuhwecydl9E4laXHRhSAiESfa4eSWdxOr/JvcwZPJZLJX2LjjUx4oDCgliajo5tRv9XquvfsvD69KtMARgK36Gxj12b82ztnRhfIjNnDAsQFqycjbD36mhuchtvQoQY3kcPQKFYtiXWjx+Z/M+G4VV89ey9b246JiWPzzJlrM/ps/zZ5Igkg7KYx9o+sxelzvTJXIMBmN/LVgEG+GbwBgbaG36dd3coaOsSvuDAA1JRts7T0yHIMs43q1m4ubKKGTBJbuHWPtcNKksdHQcvQ6tru0QURiwJ2f2LBgOGcvn8jQcc5cOs7ahf+j0/mpaM3JBNjXovyIDbg6uqVsYzIa+VuyjBY1Fb2y9XHIMs5RtHTxEpAwmYxWjiZnaWw0JNkXxvws6cqTrCVdATAadMQ8HY22l5S465+klESw9SyFQlRkuY3cIHfwZDKZ7BX8Hu0HoG68RKc3Xo+i5un1QasFaASJMLPAsj9zpgi0q6Mbjf73J5vcewDw5uONhB/7lMVTO/F9eXBPjiPUxolfop1pv/4WzT9YyfTpf3Dp5KVMXc29du4aP/24jl7jl/HG9IN881Dzz3TMJs78OuMdCpXI3BVcXbKO3T/3oVvkNgBWFx1O33d/ztAxgh+c4rJkeVzdi3bLVByyjFOqNTTH0qnZbXqEyZj3T5xVKjXtRq1hq2tHAN4MX88bG9pw/vt6rFk0hlPnj7xwvyu3LrB66UTOfd+Amhvb0jdkJRqzngCH2lQasTFV5w5g39/TCDULKJEY3OS7HH9csldzdSqGCJiAyJisd3jyOicHF6JsLKPJLsZoIiKCs3S8sNi7mLHUkfMxJAIQpXTGMR917kCugyeTyWQvdfPGIa4q4wABRUxNWr3fzNoh5SlePtVphj3+JLBRd4V39DqUak3aO2aQSqWm5+jfWL28EG/e+5VWMYcIXNSFqm8u4UDXIqxfu4/dN6I5rXTnjsaNRbGwaPM9iq0OpJW7RKNqJbCz06C2UaFWq7DRqFHbWH4UKgVnT1xh/7m7HIlV8UjjDNiD2h6AQsnRDCim4t33+2apqH1sfCynF/WjfewRTIisKzma/oMynv3y90OfYkTAW5Ro3uTjTMcjy7iRLefy1963CDMLrNs+kv5dl1g7pDQplEo6v7+S1X98ToXwg1RLvEK1xKtUS7wKW1Zwyb8sl5zq4FqxFU9un8L3yVFqx5+nIv9cHDlrV5lrrg3p1GcKjvaOz7Wx8aFlqnEVQYFP0dq59thkL6ZQqLBHJBYzMWYdr8MYv5ubD1FhOlxMMbglhxEbmoDC0Ru7DK6VM+gTiX06eudlNCICESp33DyK5kDUOUvu4MlkMtlLzN8/DZ1GoLjeRLNivV7LundpGdt0Dgf+HkaIWeD3bcMY0uOPHGur/+DpbPQrRuvzX1E98QoP1vTgTPMfGfpeD4YCkaERbPM7gn9QBKdEN+5rXFgWD8sCYoHYNI7uARpQmo1UM0TQtKgdrZtVo1z1sll+3Z9EP+H2yrdpEXcKvaBkU9mJ9O+Xuc7ZYXMwINAANxRK+Ss8N3n5VKeuZMMh9GyOOUF/aweUTgqlkv6DpwNw/tppLgespWzkCWokXKJy0nUqJ12H0NSf20vaslx0qU+5hgN4o1Jd3njJscNDLnJWMIAk0Nm1UQ4/Ell6udt6EZsYQjKWZCu2tu7WDinHOXoUJ/rxXZxMsTia4zFH3yIq3gk7l8Ko05mdODT2HmbARpJwNJuJsPHCzc0nZwPPIfK3g0wmk72ALimRa4pQQMArphQ9h8rTM1+kSPF6NJa07EXHpoRAhuRwe726jOSAZzFKHRhPseQQHPcOY+Pjz+nVZSSu3m4MHNGVgUB0RDQ7/zzCzith3DLaYBREDIKIUVBgEBSWfxWWr0C35DgaahJpXrkwLdo1wsktY7XsXiVOF8uj5b1pmHCBJNGGvyp9Sr+eY9Pe8QVOn1rCPbOAgMRbtTO2bk+WPYZVHs3hS7MJkgSOHfuZ+vVHWzukDKlWvhbVytcCLFMxz/29ilKRJ6gVf57bmuKcc65P0dq9aVCzOZXTcbxF+8aSLAl4ihI92sm17/IKra0rmsQQdECE7slr0cFTiAqcvUoRExuJMjEcO3MSLsZoDE/iiFC54uLq89KLdcn6ZOITIol/OnLtbjITrfXBzSX/rimVO3gymUz2ArN+H8JDGwGtWaKGpr08evcK79edxoETH3LPLODn/yFd2s1Me6csaF6vA9e8ihO4YRjVE6/Q9dwnbHh4ltZvzcDZ0VK+wdnNmX7vdKLfK45jNpsx6PSoNOoceX1vPbhBtbs/USUpiDiFLftqfk3vDkMzfby1Vy1TAssKAmXKt8+uMGUZUKPmECpd/pFLksRv15fmuw7ev1UsVZWKpf4p+VL26U96GfU69knhgEBrsZA8opzHOCvtCDUmWJKtGJOtHU6ucXJ0RXJwITIqDLvkJ9hIBtz0j9GFxZKocUehVGFMTkQ06VFJetSSHhvJSLRCgVmhwEaSkLQ+uDrl706xfMYik8lk/2EyGrljugqAb7wbI98dYeWI8rYy5dtT6+n1wlXh/rnSZvmSlSg2cht7ntX7Cl9H5PzGbPZblO5jiKKIja0mRzp36zf/hO26HlRJCiJK6cihBj/SLQudO6NexwnBUm+whaZMGlvLclJv9xYAnMLAvdsvTlTyOli9/V2emAU0gsS7bX6xdjiy/3B1LIZSAAmIiHtg7XBylSAIuLp6o/SsQITKDSMiGikZ16RHOMXdxU0fjospGntzImrJiAGIUFgSqNgJWlzyeecO5A6eTCaTPWf5+qmc1VqmapTQ10Kpkq9Mp2V4+ZEISFyR4NixjGWGzCxXRzda/G8La8p8RLjKFd/kB/Q4+yH+P3Yn6M6VXInhv85fO83+HzrS+8IUiiWHEKLy4FSTeXRs2TdLx926ZyLRT0+m+7f5MZuilWVGlzazKCxKGBFYGDDJ2uFYzda4swDUl7S4eJS2cjSy/xJEEQcsnZZYDEiSZOWIcp9CocDNoxhGt7JEK5wwI2BEJEHUEq1wJELlTpRdUR6pbZAANeDt5mvtsLOF3MGTyWSy/7gZsRujIFBEp2HaqOnWDidfqFt3JJUEy1fKkuu5l11QoVTSb8CnJA7ex18u7TAj0C5mPx6r2rJ6xWe5ls5el6xjzeLx+G7oTIunmTK3unZiX+mpNK+f9fWbO55YRoqqSyqcnYtn+XiyzFMolXRQW04C/5ZiSIx/bOWIct/RgHnckEBAYli1cdYOR/YS7vZFEACDBAZjlLXDsRqNjRZnL18k7yooClXFzrs8zl6lcPMoio1KIAFL59dNaY8gCFaONnvIHTyZTCb7l+1713DS1jIVzjuhNGqNjZUjyj/e9rZ0ZM5g5PrVbbnadonCvnQeu45t9eZyXVMSV2Ms/e/M49yPzTlwfEeOtr1t7xpuz2lIv0dLcTAlctG2HHuaLqLje8tx0DyfVj6jIsKDOC9YOqqdvVpl+XiyrBvWcSmOgkSsJLBke+an3uZXK27+BkAlQaRq9fyST/T1o7axx/bp7wlCklVj+be7d+8iCAKBgYG52q5CVKR04E6dOkXLli3xLlSSBqUbMPLNETy4F52r8eQkuYMnk8lk/3Lp4kLClUrsTAIz+n5j7XDylQ5tplNSkDAhsODkl1aJoUu7QfiMOczaQm+TJNpQK+ECTf37c3pmI1Ytm8SNe9eyra3j5w/z19w+dDjyHhWTbhKjsGd10XcpM/YQ7Zq/mW3t/LFvInpJwF2U6Njq22w7rizzbO09aIYl2+oO/e18Ufg8uwQ/OMVpwQBAL7dm1g1GliYXtTMAiYBeH2/VWPKK+Ph42rVrR6FCHqzetZqV21bi6uhM27ZtMRgM1g4vW8gdPJlMJnvqzMXj3NQ+AqBwUmE8fQrGXPzc1NPBUjErQEgiLDjQKjHY2zrQ992fOd9lI0ccaiMiUSvhIgPu/0qJ5Q0ImNWSVb9/Qcjj4AwdNzI2gg1bfmLrvAHc+rYy9bZ0onOUPyISu52a8bDfdvoP/R6NTfYWez9ouAtAPclRzlSYh4xoNAMlEo/MAn67J1o7nFyz8KDlgoO3KNGt7Q/WDkeWBifHwqifzjqMiM/Y37zM8vf3p1GjRjg7O+Pm5kanTp24detWyv0lS5YEoEaNGgiCQLNmzQBLZuNp06ZRpEgRbGxsqF69Ov7+/yTuejbyt379eho3boxWq6V27dpcv36dU6dOUatWLezt7Wnfvj2PH7986vS1a9eIjIxk5IfDKFm6JFXKl+brr78jLCyMe/fu5cyTksvkbwqZTCZ76sSu7znuoUGQYEK13tYOJ18a0HERv6+rRZhZ4Od9/+Ortw9bLZZ61ZtA9b2cOn+EW8fXUi36KBWSbtEw/jQN40+T9MsC9tvXJsy+DGalBlQaFGotCrUtKo0DGo0dgqgg4kYAxaMDeSPxIm+a/0k3bkTkvF1F7pR7m15dRubIY7h0cQO3JAkQ6Fc1/6bkL4iK+zai9mEVxzCy/sl+uls7oFygT47ngBQBCLRRFJEvOOQySZIwmzM+1dLOZEaHnhjA0xCHKCoyfAxR1KZ7fVpCQgLjx4+natWqxMfH8/nnn9O9e3cCAwMRRZGTJ09Sp04d9u7dS6VKlVCrLYXI586dy+zZs1m4cCE1atRg2bJldOnShcuXL1OmzD/Zg6dOncqcOXMoVqwY77zzDv3798fBwYG5c+dia2tL7969+fzzz/nllxdndy1Xrhyuri6sXrWZER+MwFPlzLylc6hQoQIlSpTI8HOTF8mfTJlMJgPCI8OIV10AtHjpnWjQKKdLdhdMSrWGjsriLNPfZ78UxaTYUOwdva0aU+1qjahdrREAB4/t4PG5zdSOCaBEcjAtYo9AbPpT3Yeq3DhnV4Moz5o0aNqXmoV9qZlTgQNrzs1BQsBXkOS1TnnQkLJDOXZ9IZclM+fO/EaNmgX778bKbcOJkgRsBYnhHRZaO5zXjtmcxMG/q2TpGCGZ3K9Z04soFLZpbwj07Nkz1f+XLVuGh4cHV65coXLlynh4eADg5uaGt/c/3w+zZs1i0qRJ9O1ryTo8Y8YMDhw4wJw5c5g/f37KdhMnTqRt27YAjB07ln79+rFv3z4aNmwIwNChQ1m+fPlL43NwcOD3rcsYOXAMC2db3sdlypRh165dKAvIRYuC8ShkMpksi7aumM4uRxUArWwKWTma/O3dzsvZuLk5sZLAwu1DmNBvp7VDStGsfgeo3wGT0cj2vzeSfGUnToYIS7Fbsw4bSY/GnIyNpENrTsbGrOempiQ3HavhWqElLRt0pn0unQCYjEaOCTEgCTRVFcuVNmUZU7/+aMrdWEiQJLDk0s/ML+AdvG0JlwBoINnK2VxlL3Xjxg0+//xzTpw4wZMnTzCbLWWH7t+/T+XKlV+4T2xsLMHBwSmdtGcaNmzI+fPnU91WtWrVlN+9vLwAqFKlSqrbwsPDXxpfcMh1Jn/wOTXq1GDVyqWoVA7MmjWLjh07curUKbRabcYecB4kd/BkMtlrz2Q04mzYQ7hSiY1ZwaieP1k7pHzN1t6DVoIbm6VIdhgfMFavQ6nO3nVpWaVQKi216dJRn67W05/ctmv/5zw2C6gFibdbzLRCBLL06OlUn+nRxzghJBMWHIiXT3Vrh5Qj/j70PbckEJEYVvP1rf9nTaKopVnTixnez2w2ExkVTDhxAJTQeGJr55bhttOrc+fOFC9enMWLF+Pj44PZbKZy5cro9foMtfkyKpUq5fdn00b/e9uzTuV/SZLE8vVrefTgEX/uXE1JT0uHc/Xq1bi4uPDnn3+mjCDmZ3KSFZlM9tr7Y+UPnLDTAVDeaG/1KYUFwahWP6MRJMLNAr9vG2btcPKlP0MsI59VJAUeXpWsHI3sZXp3XICXKJEsCfy6b6y1w8kxv99ZDUBlQaRS5Z5pbC3LCYIgoFDYZurHRu2JVtQgihqi9HEZ3j+96+8iIiIICgpiypQptGzZkgoVKhAVlboG37M1dyaTKeU2R0dHfHx8CAgISLVtQEAAFStWzOIz96/4ou8Sn6hDFES87Yuk3C6K4is7hvmN3MGTyWSvPY+QvzhgZ1lbMLRMBytHUzB4FqpCI8lyxXdzfKB1g8mH4qIfce5pKvr2rvWtHI3sVRRKJW0VlhPFfVIEuqQYK0eU/e7dPsIZLKUg+ni2tXI0ssxyfjoKl4CE0ZicxtaZ4+LigpubG4sWLeLmzZvs37+f8ePHp9rG09MTrVaLv78/YWFhxMRYPjMffvghM2bMYN26dQQFBTF58mQCAwMZOzZ7LpxIZjOR5kTqN6tPXEwsEyZ+wtWrV7l8+TJDhgxBqVTSvHnzbGnL2uQOnkwme63t2LWRKO1tDIKAm9mG5s0+sXZIBcZ7daaiQOKuJODn/6G1w8lXVu0eS5Ik4CRIdG8zy9rhyNIwvMNC7ASJKEng160DrB1OtlsUMBkjAoXlWoz5motTMRQCmIGImPs50oYoiqxdu5YzZ85QuXJlxo0bx8yZqaeYK5VK5s2bx8KFC/Hx8aFr164AjBkzhvHjxzNhwgSqVKmCv78/fn5+qTJoZsXj6NsYJChVxpfNmzZw4cIF6tevT+PGjQkODsbf359ChQrGGnx5DZ5MJnut6U6tYaunPQCtVE5WjqZgKVuhE7VOTuEEJlaH76IL8jqy9NqlCwKgnmSH2sbeytHI0uLsXJw2gitbpCg2G+4yLA9kj80uiQmR/E00INBeWVIujZCPCYKIg6QgGhMx6PE0mxHE7B/radWqFVeuXEl1myRJqf4/bNgwhg1LPX1fFEWmTp3K1KlTX3jcEiVKPHecZs2aPXfb4MGDGTx4cKrbTCYjUZJl1NJRUNChYxc6dOyS7seU38gjeDKZ7LV19cYlfIWjXLNRI0oCgxt/Y+2QCpzh5UciIHFZkjh27Gdrh5MvnD61hJsSCEgMqjHO2uHI0ml8+xU4Ph3Fm/dXwRnFW7l9BDFmAXtBYmjHxdYOR5ZFHg5FEACDBE9i7lo7nFwTHn0Lo2Tp+Hg7lrB2ODlO7uDJZLLX1rENc9nhYANAZUGgSPF6Vo6o4KlbdySVBMtXzeLrS6wcTf7w+xVLXaZygkCVqvk/m9vrwtm9JJ0Vluld20xhRD2+aeWIss6o17E5+RoAjZATUBUEaht7HJ6e/keZk54b/SqI9MnxREuWNaTOghKlKm9ldc4JcgdPJpO9lmLjY2hh2Md2e0tylY7Ota0cUcE1sFBnAM5g5NLFDVaOJm+Li37EcSEJgI721a0bjCzDxnRdjasoEScJzPYfbO1wsuyXLX0JMQtoBImxTedYOxxZNvFyKPrPKF70HWuHk+NC4u5jBlQCeLmUsnY4uULu4MlkstfSqoXfcc02iViFAkcBerWbY+2QCqz2rb+hlABmBH45+521w8nTlu8aRaIk4CRK9G0vT2nNb2ztPeip9gVgtxRNyMMzVo4o8xLjH7NRbxmFbIOTPMOhAHmdRvFi40KIx/L4PJQOiOLrsYZU7uDJZLLXUr34PWy1twOgPnIii5zW17kBAMdI5t7tI1aOJu/ak2w5oW4kOaDRykl/8qOR3VbjJUokSQKz971v7XAy7Yc/+xBpFnAQJCa2X2HtcGTZ7N+jeBEFdBRPkiTCkyMB0GLJIvq6kDt4MpnstfPbsnkUEm9zVGuZhz+g0rtWjqjge7PDfAqLEgYEfj480drh5EkBAT9yRxIQkRhc62NrhyPLJLWNPf1sqwJwQEjg1o09Vo4o4x6HXWabKRyALopCuHiUtnJEsuz271G8yAI6ivc46jbJgAAUsi0Y5Q/SS+7gyWSy147Xgx386WCHJAiUEqBGzSHWDqnAUyiV9NBUBOBvIZ7HYZetHFHes/rmHwBUFETKVyy46btfB4O7rqSoKKGXBH44Otna4WTY7F3DSJAE3EWJMd3WWTscWQ7x/FdGzYI2imc06Ig06wBwRERr62rliHKX3MGTyWSvlb17d9LKfCJlemZzVQnrBvQaGdxlGR5Pp67N351/p67lhOgndzgpWGo0dXaqY+VoZFmlUCoZ5NwIgACSuXhhrZUjSr+7tw6ylzgA+tiUx9bu9Toxfp3Y2DjggAAUvFG8kJg7mAAF4O3sa+1wcp3cwZMVaGazmcsXLrJrpz9ms9na4cjygOCjf3Beq+KhSoWNIDGw1Y/WDum1obaxp6OyKAB7pAjiY0OtHFHe8due0egkAVdRorecXKVA6NP5V0oLYEJgzrn8k1xo5pEJJEsChUWJYd3+sHY4shzmaf/vtXh3rR1OtkhMjCAOyzmfm6hBqbSxckS57/VIJSMr8A7s28OVi6cxJYRjb4zAQ4qgCOFEnx1DJSGaSsDp4+U4bNOMvoM+oFBhH2uHLLOCGzeC6GI6wMyno3c1JJW8tiSXvdd5JVs2NydGEvhl22A+7O9v7ZDyhL2Ge4BAY5xRqgt+jabXxXDvzkwK+YtTGDlx4lfq1h1p7ZBe6ULgagKerloa7NRQfi++Bmw0DtjHC8QhEWlOxE2SEATB2mFlSWhiKBJgA7i7vH6jdyCP4MnyueQkHQunDcZ4eiAO5vlgv4mHroc44HmN+d7RvFdEQ4uiPjQrWphDrmEMNi5GWNSAxV8OwX/nDmuHL8tlu9f9hFJMxN/O0sHrXqi9lSN6/djae9BadAdgh+kh+uR4K0dkfQcOTuf+0+QqQ+pNtXY4smzUoc10KgogIfBT0AJrh5OmH8/PwIRAaQH6dllo7XBkucQrl0fx7t69iyAIBAYGZvuxI6PvkfT0dy8bt5d2Vvft20eDBg1wcHDA29ubSZMmYTQasz0ea5E7eLJ869q1q/w1swMnPQMY7+3OTDcXFjs7scHRgT12tpzSarihVvNYqSRCqeA3Z0faFC3MWlczbwpbaX78bfy+6Mj8ebMxGgrOh1r2YglxcbQ37MXf3ha9KOApSrRtMc3aYb2WRrdZiK0g8cQssOzPwdYOx+rW3rMUf68iiJQq09rK0ciy2/sl3kZA4rwkse/gN9YO56UOHZnFGUwAvFe4h5WjkeUmG40D9ilr8RLz7Vo8k8nIY5PloqE9Ag4O3i/c7vz583To0IF27dpx7tw51q1bh5+fH5Mn57+ESC8jd/Bk+dKff27i2pbe/FI4hJNaDSpJoLog0hgV7QU7+ig86K/35GOnuvxYtDcf2FehsCihEwWWOjvRumgRFrra0VQ8yqjIaZz7ugGbN2209sOS5aAlv8zEVwhhk70jAI1wQ6GUZ6lbg5tnOZpiqTu4JfkapgJ01TSjHodd5oxgAKCbWxMrRyPLCU2bfER1QQHAgvtr8+z7ff7tFUgIVBUE2rT80trhyHKZl/0/GTUjsziK5+/vT6NGjXB2dsbNzY1OnTpx69atlPtLliwJQI0aNRAEgWbNmgGWvAnTpk2jSJEi2NjYUL16dfz9/5nG/2zkb/369TRu3BitVkvt2rW5fv06p06d4o2a1alRrDYj+4xEmWz70vjWrVtH1apV+fzzzyldujRNmzbl+++/Z/78+cTFxWXpsecVcgdPlu/8PPcbwm9+yJeFJMKVSlwkFfPLjeD3gedZMOgs3w88zqQ+u6joOYY3O/5CqxafMbTnarb3C2S8QzV8RAmdCIudnWhZtChznF0oq7hO4wvjmT9vlrUfniwHmM1maifu5bZKySWNChGJt+t+Yu2wXmv/azIbtSARbBZYtz1vr0vKSb/tG0+yJOAhSnRvO8fa4chyyJgKY1AgcV2CH9Z3snY4z/lz50SuSCAiMbbcKGuHI3sJSZJIMJky/JNoMqf8vGwbo8oOhRmSzBKPDAkkGI2p7s/IqF5CQgLjx4/n9OnT7Nu3D1EU6d69e0qyu5MnTwKwd+9eQkJC2Lx5MwBz585l9uzZzJo1iwsXLtC2bVu6dOnCjRs3Uh1/6tSpTJkyhbNnz6JUKunfvz8TJ47nw28msfKvlTy684Cvv57x0viSk5PRaFKvL9Vqteh0Os6cOZPux5mXyZevZfmGQa9n/szRPHLeh7+zZQ1VObOGXzosx8OrUpr7K5RKhvT4g4FGI8v/HMi6xAuEAEtdHFjn6MAvYaEMjfiO2V+HMe6TGYiifP2joFiyaD4juMwsexcAygsCpcu2tXJUr7eiJRpS/28Nf5PMupjj9Ld2QFZgMhrZZ3oECDSVR5QLtFq1h9L12ko2myNZa3xIkzyUcMVkNLLksT8gUBcVdeq+a+2QZC+RaDZT6tDFXGrtUqr/3WpSBTuFIl179uzZM9X/ly1bhoeHB1euXKFy5cp4eHgA4Obmhrf3P9MoZ82axaRJk+jbty8AM2bM4MCBA8yZM4f58+enbDdx4kTatrV8h48dO5Z+/fqxcvNSatR9A5UAw4ePYMWKlS+Nr23btsyZM4c1a9bQu3dvQkNDmTbNsmQjJCQkXY8xr5PPYGX5QmhICMtmduVvz7/xt7dFlKCr5M66t4+lq3P3bwqlkqE9V7Ojz2nG2lfGS5SIV8BQb28CtSITjItYNm0I8bFy8oeCwiN0NwZgs4NlemYbuyrWDUgGwKhan6JA4rYksG1XwVn7kF77/p5GsFlAicQ7jadbOxxZDvuszy7KCKCXBKZe/5nE+MfWDgmAXzf35q4koEJiYp2vrB2OrAC4ceMG/fr1w9fXF0dHR0qUKAHA/fv3X7pPbGwswcHBNGzYMNXtDRs25OrVq6luq1q1asrvXl5eAJSoUAYBKGzjibd3IcLDw1/aVps2bZg5cyYjR47ExsaGsmXL0qFDB4ACc3Ffvlwoy/MePnrIX6u6ssJHR4Koxs6sYJJnc7p3zFr9MqVaw7Cea+j5+CbDdnbnuggjvb2YE/aYYUlb2f5DGKV7/0i5ihWy6ZHIrGHbVj86SEcJsNUSp5CwFyT6tZPrjOUFFSp1p+bpLzmJid/DttOJ/FMrLDuse+gHQDUUFC3RMI2tZfmdUq3hu9rf8vapyTwyC3y8qQNzB52yakzHjv3Mb7rrgEArwZ6yFfLe9FHZP2xFkVtNMn6BUjJLxMbG4ujoiCC+ugSCyaDndtwtjBLYAsXdKqS0nV6dO3emePHiLF68GB8fH8xmM5UrV0av12c49hdRqVQpvyckPAFAqVLiKqixs/dAEIQ0ax+PHz+ecePGERISgouLC3fv3uXjjz/G17dglFUoGN1UWYG2YtUofvFMJkEUKWSy5Y+GM7Lcufs3F4/SrOi2h8qCgEmAMV4e/GVrT0eOkbjuLXb85ZdtbclyX2jgJmwEI8sdPQGoJWmwtXO1clSyZ0aUH4mAxBUJdu/73Nrh5JrgB6cIFCzJNnp4tbFyNLLcUrZCJ961rwbAfnSs3/ae1WKJCA9iys1fSZYESgkw7c1dVotFlj6CIGCnUGT4x1Yhpvykta2jRksJtTNaUUASBRJj72GnUKS7Nl5ERARBQUFMmTKFli1bUqFCBaKiolJto1arATCZTCm3OTo64uPjQ0BAQKptAwICqFix4gvbMugTiXyaNVMLeLlmrK6tIAj4+Pig1WpZs2YNRYsW5Y033sjQMfIquYMny9NW/v4LJ1yCkAQBX70jfv1258jaKXtHb3578zA1EZEE+MTLld/t3agh3KTa6Q9YuOCnbG9TlvMuBV6km7SfCFHknNayQLx3qddxtVfeVbfuSGpiWdex8NEWK0eTe+YdGINeEigkSnRs9a21w5Hlond6rKL+0wlUcyMP8+BuQBp7ZD+T0cgH/r0JNws4ChKz6/+ARuuU63HI8iZnpyI4Pi2b8MSURLIu/ZklXVxccHNzY9GiRdy8eZP9+/czfvz4VNt4enqi1Wrx9/cnLCyMmJgYAD788ENmzJjBunXrCAoKYvLkyQQGBjJ27Njn2pEkiQexd3jWRSzsUDxDBdpnzpzJxYsXuXz5Ml999RXfffcd8+bNQ5HOdYZ5Xb7t4EVGRjJgwAAcHR1xdnZm6NChxMe/es1UaGgob7/9Nt7e3tjZ2fHGG2+wadOmLB9XljN0SUlcj1jEHbUKB5PA3Bbf5ugXkEbrxJJ+J2jw9Iv3ew87fnQqTGEhgr5h01m6+Ncca1uWM3b/uQR3IZbV9p6YBSgqSjRuND7tHWW56oNqH6ZkGNy0fYy1w8lxj8Musx/LCVN3m3JycpXX0PcdN+MpSsRKAh8dei/XSyd8u7YNgZIZEYnJXh3k+ouy5/i4lEEpgBl4FH8/3Vk0RVFk7dq1nDlzhsqVKzNu3DhmzpyZahulUsm8efNYuHAhPj4+dO3aFYAxY8Ywfvx4JkyYQJUqVfD398fPz48yZco810545M2UguYAKvXLyyK8yM6dO2ncuDG1atVi+/bt/Pnnn3Tr1i1Dx8jL8m0Hb8CAAVy+fJk9e/awbds2Dh06xIgRI165z8CBAwkKCsLPz4+LFy/So0cPevfuzblz57J0XFnOmPnTCLY7W+pDtTCXokSpnK8RpVRrWDDgFC2wpM9d5qrgM5eSOAqJtH84g80b5Vp5+UVEyGM6mvYiAZudLTXXmoiFrBuU7IWqVX+Lelim7PwWuT/P1gnLLj/tfo+kp6URhnZdYe1wZFbg7F6ST4r2Q4HEJUli9vqOuda2n/+HbDBZElC8qfCkc9vvc61tWf6hUKgopLJknk4CHkfdevUO/9KqVSuuXLmCTqfj/PnzNG3aFEmSUnWghg0bxv379zGZTBw8eBCwdA6nTp3Kw4cP0ev1BAYG0q5du5R9SpQogSRJlCldmAjJsp6vdaP6SJKEs7NzynaDBw8mOjr6lTHu37+f6OhokpKSOH78OO3bt0/348sP8mUH7+rVq/j7+7NkyRLq1q1Lo0aN+Omnn1i7di3BwcEv3e/o0aP873//o06dOvj6+jJlyhScnZ1Tal5k9riy7Lf/gD9XnU5hFARKJNvz5eANuda2QqnkhwHH6CxaMi5udTYx1bUIPkIkFS9+wZHDh3MtFlnmLVn2M+XEh5xW2/NEoUeJxKCm2ZfEIzkpmQs7DrP3i7n4DxzNgXbdOV6vEadr1mbXgPeJePTyDF6y502o+w0qJO6ZBf746x1rh5NjoqPvsVeKBKCzsjhqG3srRySzlpbNPqWb6AbAWsMjjh+bn8YeWXfrxh5mhO/EjEB1QeTjvrtzvE1Z/uXo6IPT065ChDkZXVK0dQMCTCYDj5LDkQAbLCONsufly3khx44dw9nZmVq1aqXc1qpVK0RR5MSJE3Tv3v2F+zVo0IB169bRsWNHnJ2dWb9+PTqdjmbNmmXpuMnJySQnJ6f8PzY2FgCDwYDBYMjqw30tHTj3FRfdVGjM8HHldzFLEuYMPJfPnvesPP9f9j2IZm1rNpgj2OIkUkrvwaD4B5zYO5GrLssoXa5spo9d0GXH858Vel0y9ZIPgAgLXIoB8VRBgbtX1SzFdOvkJR59+y12Tx5hHxeDymSi8Au2sztzgHudjnOqYUcaTZ+EjdYm021mlrVfg4wqUaoVTU5o2YeOVfFn6Z0Yh1KlSXvHPOxFr8H8bUOIkwRcBImh7Zflm9cnv8rrn4NJPbdxYWMDbkgCU2/+wtqyXbB39E57x0xI1sUw4dh4YiUBT1FiZstVGf5uzYy8/hrkVQaDAUmSMJvNaWaETMuz6ZXPjpcRhZxLkxh9HQPwKOERJW0csxRLVj2KuoEBywhVYVsfIO2MmbnFbDYjSRIGg+G5tXy5/f7Plx280NBQPD09U92mVCpxdXUlNDT0pfutX7+ePn364ObmhlKpxNbWli1btlC6dOksHffbb7/lyy+/fO72AwcOYGubsTnBMjh3dQd7vKIBkTcSfXj82IUdO3Zk6lh79uzJUizVHMcR/eQr9iiT+dFDSzm9A/X01/DfMI7AMoOxdbDL0vELuqw+/5kVePY8U8XzJCJyydayhraW3jfT7yOAhEsPKbdpGT6JiSm3mRQK4h2cSHByJ8HZC52nN6JOR4mzB7BLiKf43o1cPrmXuw3aoW5cFVGZ+5MmrPUaZEZ9VV8CjL8RYhaYu6obFTwLxnq8Z6+BUR+LvzkcEGiW7MSBv49bN7DXSF7+HPQSezHXvIFgs8CYvzrS1XYsKhv3bG9nb8SX3FKAjSDxtrk5J07dAtI/7S6r8vJrkBcplUq8vb2Jj4/PtvICcXHpT5byb67YE0Y8OiA04jq2qpy5CJGWZMNj4gRLZ9VFUpGsF0jWx1ollhfR6/UkJSVx6NAhjP9ZapD4r3OH3JCnOniTJ09mxowZr9zmv8UOM+Kzzz4jOjqavXv34u7uztatW+nduzeHDx+mSpXMFz7++OOPU2UIio2NpWjRojRv3hw3N7dMH/d1dOPmdf56dJgEUUFhvQ0/DF6LWp3xKUwGg4E9e/bQunXrVPVSMqONoQWPNjbgigTjfNzZfF9HO/MJVt10ovnYxWjt5U7ef2Xn859RZrMZ3ZnlIMB8xwroiMNZlBg+YGWmR4SOzPuDEmsXojYYiHdwIqpdbzzr1qR0k5ovHJ2Li4zl5MffUOj0Phxjo6nqv5bIs4dg4HvUGdQ1i48wfaz5GmRF4JpNbCOOXZow3m9aD20+Lmnx39dgzobOREuWrIUfdF+Fg9OLxn9l2Sl/fA46oP/rFj/EnSVQgPDkH/mm5ASqVX8r21pYsXUgBxWWEYRhmgoM6P5Dth07LfnjNch7dDodDx48wN7eHo0ma7MZJEkiLi4OBweHDGWa/IcjyVHXiZZMRAsmnFUmNFqXLMWUUTFxj4gQLB1dewQ83TJWEiE36HQ6tFotTZo0ee41i4iIyNVY8lQHb8KECQwePPiV2/j6+uLt7f1chXqj0UhkZCTe3i++qnDr1i1+/vlnLl26RKVKlQCoVq0ahw8fZv78+fz666+ZOi6AjY0NNjbPn+SpVCr5j1kGrd4xnhPuCpSSxPBCXbGzy9ofkOx4DVQqFfNa/U6/fW/x2GxiSBFf/rofxAB2s2DuRN6dshCFsmCk1c1u1vgMrP19Pd0EyzrJv10sXwb1JHu0tg6ZOt6uD6dTePsqFGYzUe5eFF24lNqVSr1yH1cvN9ot+4Hga/e4NOULfK6cxDU8GGZ9xpGNq6j5+284ejhnKp6Mym9/hya2+40D/j15YhZYuGMQH/b3t3ZIWaZSqTAZE9lheggItBHccHUvYe2wXit5/XMwuMdK7LaNYnbk3wSbBd6/OptRDw8wqPvKLB1XnxzP9xu7sMX0dOQYG0b2zr017f+W11+DvMZkMiEIAqIoImagyPiLPJvC+Ox4mVHIpQyJUdfQSxCcFIqv1glRzJ1uRETUXcJMCUiAGijsXCrLz0lOEEURQRBe+F7P7fd+nnp2PDw8KF++/Ct/1Go19evXJzo6OiU5Cliy4ZjNZurWrfvCYz8bGv3vG0KhUKS88TNzXFn2WbD4a444PwCgalIhenb6zMoR/cPLpzrTS7+HjSDxSJHEUG9Lodr32cCP33xo5ehk/xZxwx+NYOCAuiT3RR0Ab1UdneHjGI1G/AeNodhfv6MwmwkrWorKW7ZSNI3O3b/5lC9Om42/oViwgpCSFZAA77vXOPPWoOemb8gs3DzL0VH0AOBP40Pioh9ZOaLsscRvME/MAraCxJh2S60djiwPerPTfJbXmk5xUSJJEpgVe46JK+qiT85cqaa9+7+ky/p6rDM+Ri8JlBFgRi85qYosc0RRgY/GEwFIBu5EBmHQ5/y0w/DIm4Q+7dxpgJJOpVEqc39de36Tpzp46VWhQgXatWvH8OHDOXnyJAEBAYwePZq+ffvi4+MDwKNHjyhfvjwnT54EoHz58pQuXZp3332XkydPcuvWLWbPns2ePXtS0ram57iynBEXF8vV5PVEKBV4GhTMH/C7tUN6Tr36o3jPrioA57RRfOpiScYz1rycmdOnWjM02VM7/9xNX8FyArPW3QUJgVICGZ7qlJyUzMGeb1P8hGXNyMOKtWm4bUumR90qNKtFi52bCR00FrMg4H3vOvsG/S9Tx3odfNDpD5wFiRhJ4Ie/8n9heqNBx1b9DQBaCk64eOS9qUWyvKF8xS6s736Axk/Lhuwikb7r6nP31sF0HyM85CKjVtRk/IMNPDILaASJAUpv1vY5hm0+nvIssz47Ow88FVoEQAfcibtDUlJUjrUXEnGdx2ZLEkMtUMKlLEqV3LlLj2zp4EVGRuZ6BptVq1ZRvnx5WrZsSYcOHWjUqBGLFi1Kud9gMBAUFJQycqdSqdixYwceHh507tyZqlWrsnLlSlasWEGHDh3SfVxZzvhu4RAOOlgWznZW18mxLGJZNbTnatphWXO3wzmMxbY1UQkmRiQvYsWy36wcnezy6a24CXHcEby4pnkMQAubkhk6RlRIBMc7dadwUCAScK9he1pvXonKJuvTK1p8PJIHLSzZeIudOcjuj7KvbENB4uBcmG6qogDskCIID7lo5Yiy5o/twwl7eqL9v+bzrB2OLI+ztfdgwaAzvKspjVqQuCHB2wGj2bnn01fuZzIaWbShN9339OMQeiQEaggia+rNZvKAPXJJDlm2cHfxpbDaGREwSHAvIZjY2OwvJfYo4hqRkmXdqD0CJVzLo1DIU3zTK9OTZ69cuYKfnx9+fn6cOHECFxcXOnToQNeuXWnXrh12djmbeMLV1ZXVq1e/9P5nxRD/rUyZMmzatClLx5Vlv1s3gzjvdAVQUjnRlQ/ey9sd6m/7HeTe2tpclQRWeodT9n5pmhpvUvfebM6erMIbdWqlfRBZtvvb/zD9xZ0A/O5ehUjpOhpBYmDLuek+RuzjaK726olnRBgmUSSk2xDaTZ+YrXG2m/8Ne3o+oMjlU/hs+52AUiVp+G6fbG2jIBjVbS3bNzbksVnghz0j+G7gMWuHlClmk5FNukuAQFPJjkJFalo7JFk+MbrPFqod+YGpd5bx2CwwKfhPvl75J/YC2EsCDpKIE2qcRC0uSgeOGu5zTQIQcBcl3nVqSN8uC639MGQFkJNjYVSJWh4khWCU4KE+Cs8oHe4uvlk+tiRJPIi4ShyWc3hHRIq4lc9kcpjXV4ZG8IKCgpgwYQJlypShXr16nDp1ipEjRxIWFsaOHTsoXrw406ZNw93dnfbt2/PLL7/kVNyyAmSx3xTuqZVozRJft5pu7XDSpFRrmNtiOe6iRLQkMKuoiVCcKC884NH2z4iLirF2iK+lgICN+AiRhAku3LK3pP6uIalwdk//CN7x98fjEhGGXq0m6v2PaZ3NnbtnmvyxmMc+JVCYzdgu+I6rB07mSDv5mUbrRG+b8gDsJY4HdwOsHFHm3ItYwSOzgFqQ+F/j2dYOR5bPNG40nrWt1lAVAQmBWEkg2CxwXYIzmNmPji3mKJbpLZ07BRLtBDv8Ou+SO3eyHGVr64qvQ0lsAAkIMyURHBGUpWOazSbu/atz5ywoKOpeQe7cZUKGOnhHjx4lISGBefPm8eTJEzZt2sTAgQNxd3enTp06fPXVV5w/f56rV6/Srl07Nm/enFNxywoIg15PqOYaAGWT3ChVpuFz2yTGxrPrnXHs7dqPXf1G4D9sIrs+nM7+b3/l2PKtXNl3gohH4c/tl5MKFanJN74jsBEk7mJicuESGCWRzsJRls2ZlGeKbr4uTv59kr6CJduin1NLLmJJYNLdp8Ordkvl2LLNFL5kqUv2uPsQGo/OvhTl/2WjtaHC8mXEOrmiSdYRO/kDwm4XjGQi2WlYtz/wESWSJYEZf4+1djgZZjIa2WdzG4AGkobivo2sHJEsP/IsVIVVgy6wqc63/Fi0F5OcavOOuhjdRGeao6EmImUFqC6I/Fr2PWYOPI6Ds1yCQ5bzVGpbSrqUww5LByxKMnLvyRXMZtMr97t79y6CIBAYGAiALimaRxHXuBF1jYSnnTs3QUVht/I5FvuYMWOoWbMmNjY2VK9e/YXbXLhwgcaNG6PRaChatCjff/99jsWT3TI0RXPIkCEMGTIkze1KlCjB2LFjGTs2/30hy3LXnMWTOWcnAQLtvZo/d/+T+2FcHTSQYiH3X3mcMOBcmao0WrMcjb02Z4L9jwYNx/BucADzEq9wVh3JNy7NmBq9n1GsY/YMHz78+PNciUMGO/dsYKoylCjBnjD3hxhMAp6iRJvmX6Zr/4ToeMSFsxAlidDiZWn15Qc5GzDgUawQETN/ImnMMBxjoggaOhTnHX++sK7e60qp1jDYsQHTo49xCB27931Om5bTrB1Wum3f9xF3JQEFEv+r84W1w5Hlc2UrdKJshU7WDkMmS0WhUFLcrQLBkUFESybikbgZdQ2NJKAVbbDXuqHVOr9w38jYh9x6okL3r9sEwEPU4OGa/ozVmfXOO+9w4sQJLly48Nx9sbGxtGnThlatWvHrr79y8eJF3nnnHZydnRkxYkSOx5ZVGRrBO3v2bE7FIXtN3TUdwywIlNapGdDzi1T33T51hZt9euIech+jQsGDynV5VLY6ocXKEOFZmFhnV5K0tpgUCgSg8I0LnOzag5iw3CsmOfzNddRFgYTAXtcbbFbVRymYGaxbzNpVa3MtjtfZheMX6C1aRu92OrbjqGQZCWuIKwpl+q5hHXl/Io4xUSTb2FBqxswci/W/yjd5g6RRn2BSKPAIuceh/sNyre38ol/XRdQQRCQEZgZvJjH+sbVDSheT0cjvkQcBqItKPjGXyWQFliAIFHYrj6eoQQAO7D1Ct45vUapkDQoVLkGzNk05cGonwRFBREbfo2RJy9KJlk07U9qjMoO7DkYNuEpK1v+0jhpVm6aMrPn7/1ML9dnI3/r162ncuDFarZbatWtz/fp1Tp06Ra1atbC3t6d9+/Y8fvzq74p58+YxatQofH1fvG5w1apV6PV6li1bRqVKlejbty9jxozhhx9+yK6nLUdlqINXp04dxo8fn+q2HTt2ZGtAstfH/gN+nLe3rFcrbUp9pebc1gNEjRyEU1QEyTY2xI3/kjYbl9PKbw3Nd/vR6NBe6h4P4I1zZ6h8+RKP+o60nCQ/usulXr0Iv5V7091mtF+H69P1eFuLhHFVKIGHEEu56zO5euFyrsXxulq/bR0VxPvEo0Es48YDs2XE5J0G6RvpOblmB0XOHQIgvF0/ilUvm5PhPqfB8F6EdH4bgCJXT+P/3se52n5+8FWj+dgJEqFmgS82d7Z2OOkyf2MPbkmgROLdyuPT3kEmk8nSIEkSiXpjpn6S9KZM75uoNz6XuPBFPFxL4WtXBGWSgXffG8SmvetYumkpgijy7uCxRJj0hBjjWbN7DQBLNy3h9KWDbFrzB2XcK7H2jx38OGcus2bN4sKFC7Rt25YuXbpw48aNVO1MnTqVKVOmcPbsWZRKJf379+ejjz5i7ty5HD58mJs3b/L551mbRXXs2DGaNGmCWq1Oua1t27YEBQURFZVzpSGyS4amaFapUgVHR0eGDBnCb79ZUsJPmTIlVZkBmSy9tp3/hRgXBW5G+GrI4pTbD//8B46LZqLR64m3d0Dz9Y80aPf82rx/a/XFWP52ccFlySxcH4fycPAAdAOH5/RDACyFmT/07MQnods4h5ENxUoz9t5jagg3WbdpCiVKr0Frq8mVWF43V89cobu4C4Cd9q3ZG2GpgVdVUFCiVLM099fFJ2Ge9y2iJBFexJcW30zIyXBfqvV3k9j14B7FzhygyN9+XNrVhcpt61sllryouG8jBp0ux4Kk6+yS4ul0ZBZNGuVMApzscOvGHlbpbwMCrQxaqlTta+2QZDJZAZBkMFHx811WafvKtLbYqtPuNmi0TgwdPDrl/wZDElWL+VK29Bs8DLpFyYplKORmqcdYrXg1alb6J/P4rFmzmDRpEn37Wv5mzpgxgwMHDjBnzhzmz5+fst3EiRNp27YtAGPHjqVfv37s27ePhg0t54pDhw5l+fLlWXq8oaGhKSONz3h5eaXc5+LikqXj57QMjeAJgsAXX3xBtWrV6NWrFwaDIV09epnsv+LiYrmrvQdAqaRCaLROAOz5dBYuC75FrdcT7eqJ15I/qJJG5+6ZpmMHkjTpG3Q2GhyjIym1bAGX9x7Pscfwb53afkcbwVJjaJviBiu8e2OWBPoI+/n5+0m5EsPraOWW9dQUb6BDhXfjbpwTLMlVeni0TNf+B0d9hFPUE/QqNUWmf4cynVM6c0LLFfN44lUEhdlMxPdfWS2OvGpEj3VUEgTMCHx7Zzm6pLybrXbqsQkkSgI+okR9lw+sHY5MJpPlqhs3btCvXz98fX1xc/OiRrXGAEhxasq7VaK4q2WmjELxz3dubGwswcHBKZ20Zxo2bMjVq1dT3Va1atWU3591uqpUqZLqtvDw3E2+l9dk6GzG0dERgA8++ABnZ2e6dOlCUlJSjgQmK9hmLBnNDVcFKkliRL2RAPgPm0ixI9sRgPDCJan6x++4FHLL0HHrvtWZC67OJH42Hrv4OHQfj+Vk9NfU6Zfzo8zTeu7g0uYmPDIL/G27Dye7HgxK3MQY6Q9mfV+EiR99mOMxvE5uXblFe2EvAP52zbl88xf0koCXKNG5ddqZrgL9DlDk1H4AQlt0p22dKmnskbOUSiX2H0zC/MkYPB/dYd/X82k5ZZRVY8pLFEol02pPZ8CpyTw0C0zf2Jlpbx+ydljPWbqpP+clCRGJCT69SIqXi0vLZLLsoVUpuDKtbYb3M5vNxMXG4eDogChmaGwnVdvp1blzZ4oXL87ixYvx8fHBbDZTuXJl9Hp9ptr+L5Xqn4Lnz0oo/Pe2rGYz9/b2JiwsLNVtz/7v7e2dpWPnhgy9ygcPHkz5vVevXowYMeK17yHLMidEfQmAckmO1K3Vg1393qX4087do7LVqbdtS4Y7d89U7dAYu3mLiHVyQaNLwmb6xxyen/PF623tXJlaeiRKJK5L8KDQXQ4oa2EjGOmb8Cs7/tqZ4zG8ThatXksTxUWMiHi2GMUBs+UPb3PRK83kKslJySTO+BKF2cwT76K0nD0lN0JOU43urXhUqQ4AjltXEBeZd0eprKFshU70UxUD4C9zJCdP5K06XyEPz7AswZKNrQW2NG/yqZUjkslkBYkgCNiqlZn60aoVmd7XVq1Mdy26iIgIgoKCmDJlCi1btqRChQrPrVl7tq7NZPqnnIKjoyM+Pj4EBKSueRoQEEDFihWz+MxlXP369Tl06BAGgyHltj179lCuXLk8Pz0TMtjB+zcnJyfMZjORkZHZGY/sNbDs9+85Z2e5ilPLpjpnNu6lSOBhAO7VaUWzzb9nOVV8qTqVuT9iFFFuXqgNepwXTOfIL+uyHHta6tcfTS+lZbrAJnM48bVbcU/woojwBM3p7wm9H5zjMbwO7l+/R3PhAAB7tI0JD/cj7Gkx6WHN0y4mfeB/n+ISEYZBqcT9i+lWnZr5X9W+/wadRot9fBwBH8gdhP8a+6YfZQUwIvB10E8Y9bq0d8oln+0bSqwk4CFKTO26wdrhyGQyWa5zcXHBzc2NRYsWcfPmTfbv3/9cgkZPT0+0Wi3+/v6EhYURE2O5mPnhhx8yY8YM1q1bR1BQEJMnTyYwMDBHyq7dvHmTwMBAQkNDSUpKIjAwkMDAwJRRxv79+6NWqxk6dCiXL19m3bp1zJ0797nHkldluoMnSRILFy6kYcOGNGrUiA8++IBTp05lZ2yyAupc1A4MgkDxZAUT3llA/K8/Pk1yUYp2K3/KtpNttbs9Zdau5Yl3UZQmE+rffsyVEZFJb25POQGdH76KU9U+RIeKFsJZNi75HJPx1QVAZWn7eeV62ilOYUZA22Qkmx/vA6CGpMTLp/or97206xiFj1nSLgc37kSFZrVeuX1u8/ItzOOWPQEofOYgVw+etnJEeYtCqWRq1Y9RCxJ3JIGZG/JG+YH1297jBJbP9hj3Njg7F7dyRDKZTJb7RFFk7dq1nDlzhsqVKzNu3DhmzkxdfkipVDJv3jwWLlyIj48PXbt2BSzFx8ePH8+ECROoUqUK/v7++Pn5UaZMmWyPc9iwYdSoUYOFCxdy/fp1atSoQY0aNQgOtlyId3JyYvfu3dy5c4eaNWsyYcIEPv/883xRAw8yuAbvv86dO0ffvn2xs7PjzJkzNG7cmNGjRzNr1qzsik9WwFwPusAVu3BAQcnk4gQsXIfnw9uYBQHHUR9ke3vO3m6U+nUxYX264RAbw9H/Tabtql+yvZ1/U6o1fFPrGwae/oRHZoHjsUuJdRnEO1FLeE/YyHfTi/Lp51NzNIaC7NHth9QTDgJwUFMHXw8NF66bAIG+RbunuX/Ut1NxN5mI9PSh5Zy8WTS7xYxJnDixF9cnoYRN/5IKzf6ydkh5StXq/elxeSlrjeFsMoXS6cJaq2aqjHp8k/lRhwGBhqjo1j7n6yQlJyVzZvU2Eu7cxRQWihgdgTI+GnVCLDZJ8dgkJWBSKnlctgZF3xtJheZ1cjwmmUwmA2jVqhVXrlxJddt/kzIOGzaMYcNS134VRZGpU6cydeqLz5FKlCjx3HGaNWv23G2DBw9m8ODBr4zx38vOXqZq1aocPnw4ze3yokyP4AGsXr2an376ie+++449e/Zw8uRJNm3axI8//phd8ckKmIU7phKuVOBokvik5wz4w7KGJtS3IjW6t8qRNn3KFye8zZsAFD53iPN+B3OknX8rX7ELQ7UVANgtxeNRTsF2dVMUgsQI01L+WJ7zawILqtlL19NFPApAUq0hLD02FRMCRUWJVi1e3XE+9NMfuIc+wCyKOEz+ApWN6pXbW4tSqUT53kTMgoDX/ZscnLnU2iHlOZPe3E5JQSJZEvgi8BtMRqPVYvl8R18izQLOgsRX7X7P8fYOz19NYLMWuMycQpGNSyh+eBtFLx6j0J2ruIU/wj4uBpXRiEano+iFY5jfH8zfLTtw4PslGK34PMlkMpksd2S6g+fq6krRokVT3Va1alV+/vlnfvklZ0dIZPmTQa8nWHsTgDJJHlxdfhDXxyGYRJHCkz7J0bZbfvsRT7yLojCbiZ/1Va6c5Lz75gZqIiIh8OPjHVToN41rYjE8hBjK3p5L0MVrOR5DQXPhxEUaiftQCmaOamrQtkl3DmFZvN1KWSzN/YWNKwAILVWFqh0a52isWVV3QEdCytYAwHbDYhJj460cUd6iVGv4tNzolKRGX6xpbpU4du75lL+xrAN817EOHl6Vcqytu+eusb9DT9x/+grHmEgMSiXRrp6EFynFw/JvcK9uK+536E/YsA9J/n4Bj94cQYRXYURJwvPRHbyXzeZs/Ub4j/iIsNuPcixOmUwmk1lXpjt41atXTyl2/m+lS5fm/v37WQpKVjB9v3Acl7QgShKdfDpi62e50h1coRblm7yRo20rlUrcPp2GUaHANTyYfRNyp87Y9BZLcBQkHpsF5h4azsOm3xKHljriNQI2fEVyYt5JEJHXmc1mftm8jR6KIwDE1HmfdTtGEWkW0AoS77Se/8r9j/yyDvewh5gFgUIfjMuNkLOs4ozpJNvY4BAbw+EPPrN2OHlO3boj6aHwAGCrOZqv/2iRq+0nxj9mduifSAjUROStbstypJ3kpGT8351EzMDeFLptmfYUXLoKzms2U//o3zTdu43WW1fRbsVPtP3hM5pNfIfqXZrT6qtxNPp7L7pvf+JRuTcwKJU4xMVQ/NBfhHVpx66+wzEkG9JoXSaTyWT5TaY7eF9//TXz5s3j7bff5tixYyQkJBAeHs706dOfq/wukwHcEyzJIsrqtDgeM+IUHYlBpaLCtM9zpf2KrevxqJblBND7wFbuB17P8TZ9itZmuL1lFOYASeiTj7Kx0LsAvCNu4/sZX+Z4DAXFzg37GKj2A2CXXRPat+jNX7GWxE61JRuc3V/9d8e83nLyHepbiYot6+ZssNnEp3xxwpp2AaDQyb3cOnnRyhHlPZ+9dYC2gh0A60yP+W5V61xp16jXMX5TW8LMAnaCxFdNF+RIO0d+Wce55i0p/rcfaoOBGBc3Isd9Qctt6ylWJX2JB2p0b0WrP1fh5efPvaZdiHNwQmU0UizwCEe69pZHh2UymayAyXQHr169ehw/fpwHDx7QuHFjHB0dKVSoEBs3bmT27LTTlMteL/671nDBznISUV5fGtf9mwEIqdqIopVK5VocTX6aTqyTK2q9nluTJ+VKm4N7/J4yVXN2mB+9+oxgg6Y9AGNZzs/z5CnNadHrktl17hD1FVfQocK17cdcvrSJK5KlkOlbZYe8cv+jSzfhEXIfsyDg+b8PciHi7NNi5mdEu3qgMhq595KF56+7Gf2P0BINAKuMocxc3S5H20tMiGTYmroEYBn9GqqtRNESDbO1jSf3w9jXsRduc7/AKToCvUrNvWbdqLF/Hw3f7ZOpY3r5Fqbdwhm8cewI99v2wSwIeN+9xulubxITFpGt8ctkMpnMerKUZKVatWocPHiQ4OBgtm3bhp+fH/fu3aNDhw7ZFZ+sgNh+bTkJokghAzS4UhS7+Dh0Gg01v83dE1ZbR3tMw8YhAd53r7F/xuJcaffrZgtxECTCzQKf/9mNtqMXcU5RDkchkWZPfiVgf0DaB3mNLfp1C2PUGwHY5tKR2lUbsPzsTCQESgmW+oOvYly9BICwkhWo0i57T8RzmspGhTR0LBJQ6M5VDv/8h7VDynMUSiWzBxyjKZb6mb8bHjJnTc6UT4h+codBm5pyBjMiEsM1JRn+ZvbW2IwKiSBoQD98bl0GILhUJVx+30C7X7/Nco1QsExZbzv3C0L7v49JocAj+C6Xer1J6K2HWT62TCaTyawvQx280NBQkpOTn7vd09OT9u3b07FjR9zd3VNuv337dtYjlBUIwRrLgv4ysT54H98LQFjdNrgX88r1WBoM78Wj8pY1f44bFufKlesixesx3L46APtI4ujx7zF0+ZEIHKks3iXs4HeE3Q/J8Tjyo6jwSB4/PkZpMZgI0ZHavb8gMSGSo1hGhNtqyr5y/xMr/8Lj0V3MgoDbyP/lRsjZrsHQnoSUrgKAcvViORPiCyiUSuYOOE4jVEgILNPf5ed1aZfNyIiH947z1s7OXJNAhcREx9qM6eOXrW3EPo7mUt++uD4OwaBUEj5yMi23b6RY9Ve/zzOj5WejiRw5GYNKhevjEO4O6Mvdc3LyJ5lMJsvvMtTB27hxI66urnTv3p3ffvuNx48fP7fNiRMn+OSTT6hUqRLVqlXLtkBl+deyP77lukYAoOU5JzS6JBLs7Gk8w3pJI6r+8D1JWlvs4uM48b+PcqXNIT3+4I2nUzVnhWylQvES7Co3ERMCPcRDrFz8FYZkfa7Ekp98P38Do5WWKb3+hd6keKGSrN75PrGSgL0gMajDr6/cX7fScn9Y8XJU69Isp8PNMb5ffIlRocA5MpxDM5dYO5w8SaFU8lO/o9RHiYTAIt0NFm54M1uOfe2KH0MODePe06Q+X3p34O3uzycay4qE6HgC+/TFPewhRqWSmPc+pukHg7K1jf9q8r+3SJr0DTobDU7RETwePoirB07maJsymUwmy1kZ6uCNHj2a8+fP07hxY5YvX06RIkVo1KgR06dPZ/jw4RQqVIhu3boRHh7Od99998IOoOz1cy7ibwAqRguUCrRcHY5s1g07Z3urxeTlW5jITm8BUPjiMU6v25kr7X7ddAEOgkSYWWDqn93p328sq5z7AzBOXMPX07/NlTjyi5sXb+BjOoqHEMsdpQ9dB1iS0uxItExdqy/ZYmvv8dL9T67ZgefD20iAy7ujciPkHFOyVgVCn448a7atkUfxXkKp1rCg3zFqo0BCYEHiVZZs6pelY548sZARpz8h1CzgKEjM9n2Hzm2/z6aILXTxSZzu1ReP4HuYFAoih06g8aj+2drGy9R9qzPi9Lkk2tphHx9L0vj3OLNxb660LZPJZLLsl+E1eKVLl2b8+PH8/fffBAcHM3z4cM6fP4+rqyubNm0iODiYJUuW0LlzZzQaTU7ELMtnHtsEA9DxhBa1wUCskyvNp+fOqNmrtPpqHOFFfBElCf2873IlXXjREg0ZalcVgL0ksnvf5wwYPY9dNo1QCmb+xxJ+mpM76wLzg+//2M4wxQ4AjpcejL2tA6dPLeWGBAISg6t98Mr9E3+zJLAJK1aWGt1b5XS4Oa7U5MkYFQpcIuRRvFdRqjX82vcINRExIzA3/hI9VlZh6ab+6JJiMnSsvfu/ZEzQT0RJAu6ixC9VP6Fxo/HZGm9yUjLHevbF8+EtTKJI+FujaTpucLa2kZZqHZvg+PNS4hyd0SYlopw2gWPLt+ZqDDKZTCbLHllKsuLm5sagQYNYt24dM2bMoEGDBgiCkF2xyQoAv+1LCdKYcY2VqHHesmYqvnN/VDYqK0dm4f3F1xiUSlwiwjnwxZxcaXNoz9XUECxTNb8P3kxS4hNqvLuMK4qSuAuxNIlcwP4dB3Mllrzs0M6jtFbtQyvoOaOpRO9eEwBYcsVS766cIFC1+stHOM5s2I3n/ZsAOAx9L+cDzgW+tSvKo3jppLax59feh6iHEgGJGxLMib9I6w0N+eT3hty6seeF+5mMRo4d+5nvVrXm7ZXVmPRwAwmSQGFR4rf68175nssMQ7KBgJ4D8L53HbMgENb7XVp8PDJb20ivMg2qUei3P4h29UCt12Mz9yseXL5llVhkMlnBdffuXQRBIDAw0GoxjBkzhpo1a2JjY0P16tWfu1+n0zF48GCqVKmCUqmkW7duuR5jVmSpgyeTpWXfza0YBYEBAWaUJjORHt40nfyutcNKUa5RDUKqNADAaf/WXCv6+1Wj+dg/m6q5pSuerl7EdJxLJA5UE28TfXw2D2/ez5VY8iKT0cSyAwH0VBwGIKTmKBRKJbdu7OEElnWKfd2av/IYsUvmIwBhRUtRq0/Ops3PTfIoXvpptE4sHnSO36tNphUabAWJaEngL3MsPY+O4+2V1di6czxHA+bx7apWDFhZlUarqzPi+kJWGUMJlMzoJYHSAqxstYYSpbO3kLrRaOTvN9+m0O3LmAWB4B7v0PKLMdnaRkYVrVSK0mvXEe/giDYpkTtjRssXEmQyWYH0zjvv0KfPi8vOmEwmtFotY8aMoVWr/DcDSO7gyXJUhPohCpNEraeJ2ZI79EGpVFo3qP+o/PlkDEoljjGR/P1tzhQr/q/ivo0YamfJiriXBHbv+5z6bzRlV8WPUpKurFo+g6REXa7Ek9esWrqNoTZbEQWJvfaN6dR6AAA/H/0UIwLFBIlubX946f7nth7A656lkL12UN65oJAdfGtXJLScPIqXEdWqv8WPg06xt8suhtuUpJggYUIgUDLzWfge3r25mNXGMC5IEvGSgBKJ0gJ0FOz50qMFG/qewrNQlWyNyWg0cqD3OxS+fh4JeNjpLVp/MzFb28gsj2KFMI+dgkkU8Xh0l70jJ1s7JJlMlo/4+/vTqFEjnJ2dcXNzo1OnTty69c9sgJIlSwJQo0YNBEGgWbNmAJjNZqZNm0aRIkVSRtb8/f1T9ns28rd+/XoaN26MVquldu3aXL9+nVOnTlGrVi3s7e1p3759mnlA5s2bx6hRo/D19X3h/XZ2dvzyyy8MHz4cb2/vLD4juU/u4MlyzPHju7mm0VP9toRWJ6HTaGn4wasLUltD4QolCa1YGwC7XRtz7YR5WM81VBcsa4RmBG8mOvoe/XqPYZWLpTMzXrGGr6bPwGw250o8eUVMRAwBdwJprLhEMkrsW1nWa4Y8PMNhIRGAXvbVUbziQkHUwp8QgPDCJan7VufcCDtXlfp4Mqano3iHZy2zdjj5hoNzYcb09WP7wEv8WLQ3dVGgQkL1tEPXSXDgK8/WHO6+ly0DL/LdwGP06DAXpTr715Pvm/gNRa6cAuBBmzdpO/OTbG8jK+q+1ZmHjToCUOToTo6v2GrdgGQyGUgS6BMy92NIzPy++gRL2+mUkJDA+PHjOX36NPv27UMURbp3755yPnPypCVT7969ewkJCWHzZkum7Llz5zJ79mxmzZrFhQsXaNu2LV26dOHGjRupjj916lSmTJnC2bNnUSqV9O/fn48++oi5c+dy+PBhbt68yeeff55NT3r+lLeGUmQFyvrjC0l2EWl50QTAk5KVsqVIb04o/8lkYgb0wDnqCYe+X0KLT3JnDcz0Jgvoc+jdpwXQezFv0CkGjJrLrll3aas7wnjFEn6Y7cnEDwvGGrL0mDxzPePUGwDY7tqBHtWbAPDz/jEkSwJeosTbnV4+NfHCjsN43bUMGavfHpHzAVuBb+2K7Cn3BkWunMLmr9UYJ76T50bG87pWLT6jFZ+RGG+5yvuqbKzZLdDvAD57LO/x+zWb03betFxrOyNaLZhOQNtLeD66g+Knb3ncvC4exQpZOyyZ7PVlSITpPhneTQScs9r2J8GgtkvXpj179kz1/2XLluHh4cGVK1eoXLkyHh6Wv7dubm6pRsdmzZrFpEmT6Nu3LwAzZszgwIEDzJkzh/nz56dsN3HiRNq2bQvA2LFj6devH/v27aNhw4YADB06lOXLl2f6oRYE8gieLMdEqu+jSZaodsty1ce+c/YWHc5OxaqX/Sd5xfa1uTaKV7REQ951sLR7kCT+3DkRhVJJjRHLuKK0JF1pE7eQNSu25Eo81rZ++XbKKY9SXnxAlOhA9e5TAYh+cod9WLIfdlH7vnJE5fGCnxAliceFilN/cLfcCNsq/hnFC5NH8bLA1t4jVzt3cZEx6KZPQWkyEeHpQ7MlP+Za2xmlVCop/fN8Em1tsY+P5WI+LzUik8lyx40bN+jXrx++vr44OjpSokQJAO7ff3lugdjYWIKDg1M6ac80bNiQq1evprqtatWqKb97eXkBUKVKlVS3hYeHZ/Vh5GvyJV9Zjrh58wLXNYnUuQIqI8Q7OFJ7YBdrh/VKvpM+JGlwX1wiwjgyZyXNJr6TK+0O6r6SQyuqcxITPzzxp1H4cDw9y3G74zwi/AZQVbxD5K0f2fuXM606vzqxSH52L+gum65dZZXNVgB2+o6gf9HSAMzfNYwEScBFlBjR5feXHuPR1Tt43bli+U+Pt3I6ZKuSR/Hyp+NDR1EkOpJkGxu8Z/yYZ2c1PFO4QkluvzMOzfzpFLpzlV3jptH2x9d76pNMZjUqW8tIWgaZzWZi4+JwdHBAFDM5tqOyTfemnTt3pnjx4ixevBgfHx/MZjOVK1dGr9dnru3/hqL6JxP7s+z9/73tdVve8l/yCJ4sRyze9i1xCpHmlywfsMiyb+T5k89SdaoQWqY6AEq/Vbna9rdtfsdZlIg0C3y601KUuV6NJhyp/Q2J2NBMPE/MydmcCwjM1bhyi9FgZPzC3cxQL0IpmNnt2JT+b1lOIhMTIvE3hwHQXvRGo3V66XEuzpiDwmQixtmVBu/1zZXYrUkexctf9n0xjyJXzwAQ0WsYpetXTWOPvKHx6Ld4+EYzAHz2bCDQ74B1A5LJXleCYJkmmZkflW3m91XbWdpOh4iICIKCgpgyZQotW7akQoUKREVFpdpGrVYDlkyVzzg6OuLj40NAQECqbQMCAqhYsWIWn7jXj9zBk+WIJ6o7OMVLVLhn+b/P2/ljNKXIhAmYRRG38GAOz1+da+16FqrC/1waAxCAgbV+lsyPXTsMZGu5jzAi0lNxmBM7Z3H7yu1ciyu3zPlxA71sd1BCDOORypOyfeak3LfYbxDRZgF7QeK9jktfeozkpGQ8Lh4FIKZOyzx/QSE7+NauSEjZGgCWUTw5o2aeFXTkHG6bLZ3whxVr0/Kz0VaOKGOaLfmRCM/CKI1GdNOnEPs42tohyWSyPMjFxQU3NzcWLVrEzZs32b9/P+PHj0+1jaenJ1qtFn9/f8LCwoiJsSzB+PDDD5kxYwbr1q0jKCiIyZMnExgYyNixY7M9zps3bxIYGEhoaChJSUkEBgYSGBiYapTxypUrBAYGEhkZSUxMzP/bu+/wpsr3j+PvpEnTvTe0lAKy95IpCEJFQXCxHAiiIggCIlNQHICiIrhwMRREHCAisqdQNmXPQil07z2S5vz+CNRfv2xIezru13Vx0SbPOeeT8yRp7pxznqeoTXkgBZ6wuuSkeCLsMml7UkGrQKqnDw1D2916wTKgTsdmxIXUt/zy68JS3fbTj35FeyynGHyevpP4mHAABvR/g6VVLIO+vKL7i5+XfEx8VFypZitJ+7Ye4GzqKfrrtmBGw55GbxJcxTJssakgj1WmCwB00bjh5lbthuvZMfMrHLKzKLC15f7J1v9jUFaFTHyz6Cje9o8XqB1HXEd+bj5JE8diKMgn3d2T+7+bp3akO2awN+A36xPyDQZc01LYM1SuxxNCXEur1bJs2TIOHDhAgwYNGD16NB999FGx64Z5jQAAdRBJREFUNjqdjrlz5zJ//nwCAgJ47LHHAMvk42PGjGHs2LE0bNiQtWvXsmrVKmrVqmX1nC+++CJNmzZl/vz5nDlzhqZNm9K0aVNiYv47BbZHjx40bdqUv/76i61btxa1KQ+kwBNWN2fpeJJ1Wh64cnpmRv3WKie6M76vjcas0eAVd4ld3/5Wqtv+oMdyPLUK6WYNEzcMKrr9uaEzWOphmYxzom4Jn3w1h/Tk9FLNVhKy0jKZ9tc+ZthaRsVc4fkYj/ccWnT/or8Gk2DWYKdReK3L5zddl2Hr3wDE39cMV1/PkgtdxtRo1bDoKJ7dqiVyFK8M2vnKG3gkxmLU6bCf8gHOHjc+zbgsq9mmESlPW0amrXrqIJve++IWSwghKqOuXbty4sQJ8vLyOHz4MA888ACKotC7d++iNi+++CJRUVEUFhaydetWwFIcTps2jcuXL1NQUEB4eDihoaFFywQHB6MoCk2aNCm6rVOnTiiKgpubW9FtgwYNIi0t7aYZt27diqIo1/y7OiAMWObdu16b8kAKPGF18dpz+CcrhMSBWaOhzrDSGazEWhp0b0N89boAmJbd+JTAkuDuXZMx3g+jQWEfhSz4479TW/u++iV/OndHq1GYbvstb83+rNxPhD5x1q+Mc1iKhyaLk3YhPPTCf0c2Ck0mfs8+AkAHxQHfgCY3XM+hFRvxir+MWaMhcHjlmVLiKjmKV3blhJ2i6qHtAMR2e5rGj3RUOdG9eXDyq1y+Mm+o64qFcqqmEEKUQVLgCavKy8nhol0q7Y9bjt4l+wUS3LSOyqnunMcrI1AA7+hI9vz0V6luu1foR3TGHoBvs8K5eP5fAGx0OrqPWMwW+9YYNCbes/2K8e9+hslYPo/YrFiyDlftETrbHCZPY0tsx3dxcXIpuv+PtaO4pGjQoTCy3cybrit5oaUQT6pSnbqdW5Vo7rLIchSvCQCGv5epG0YUiTkVSe11y9EqCrHV69L9k7fUjmQVTed8RK69A47ZWYS9PlHtOEIIIf6HFHjCqj5dOI4YnYaOxy2HsPOalc9vq5v06kx8tfsAyF30Talv/73HVuKrVchUNEza8SqFV067szPY0fClnzhoWw8XTQ4Tbb9mzNTPMeZbZ+jh0nI54jLfHz7LFN1PAPxR5VkebPtosTY/p1iOetyPLcE1H7zhuuIiLuMbcQwAJfSJG7ar6AJHj8Gs1eKREMPO+b+oHafSM5lMRI4ejX1uDllOzjScX3FOZ/QK8iWp29MAVAnfwYlNe1ROJNSSn5vPzvm/sP7NmWx6Zx7b5ixi96KVHF61lYi9R0mKipfTxoVQQcUfZk6UqouFJ6gZA75pYLKxodmoF9WOdNecBw+DaaPxuXSOA79tpPmTXUtv225VmFDlKcZe+pUjwCfLH2XcgLUAeLn7kPHsj5xd1JtapkuM03/Oq2+Z+HTSyzi5OZdaxruVnZHFiM/XMsP5W+w0RsIcm/HU88WP0K3fNI2zCmhReLXpmzddX/iMOVQzmch0caP968+VZPQyrU7HZmyqXpeAiOOYli+CwY+rHalS2/L2Z1S9HIFZo8H46gS8g/zVjmRVD74/lt1h6/FMiCFhxnTo8rfakUQpidh7lHNLfsf25CE84iLxKCjA4zrtCoBEIAHwc3Vn06/rqPrsszTo3qZ0AwtRCckRPGFVMYZEOlw5PTMpsCZeQb4qJ7p7LfqGklC1Bhog47ubD/BREro+OI1eWncAlhovs+PfT4ruCwmsSUbv77igCyBQm8hM+zmM+uCLMj+6ZmZqOgOn/Uqo4xYaaiNJsXHBoedH6PW2xdotjF4BQDNsaNjoxvPZGfONeIbvACCleadKMTXCzXgMHY4C+ERfIPz3TWrHqbTiIi7jtdoyl2ZkvVa0fLanyomsT6fTYf/aeMwaDT6Xz7N5xtdqRxIlJD83n22fLmT9U4PZc387Cp57mqB1v+AXdQbbggIK9LakePuT5u5FlrMrufb2GHU6rg5FoQFc0lOptn8LNqMGE9b2Ada++AYRe4+q+bCEqNCkwBNW88WCSVzUQ5uTlrd1c/uHVE507+yes8xH53PxDCe37i/17U/ru4HaGjCh4e0LP5CaeK7ovuYN7ie3/y8cs62JpyaTz+w/ZdqX33D2yJlSz3k70pPTGTj9Dzo4/MsrutUArKs1nMZ1WhRrt3HzuxxTLF8SDK055Kbr3PHx9zhlZVCg19Ni4uslkrs8adq7M4lVawCQqcKpxcLi2Jhx2OXlkuXkQu4TPdSOU2KaP9WNmLqW16/z7wvITCn/I/uK4sIWruTQg13xmT+LwKNhuKSloABpHt5ENWlP8qip1A7bTbsdm2kTtoOW+3bT7NBBGh07yn3HjuKzaRvM/5ET7XqQ5FsVs0aDW0oC1f79m7zn+/Jvx66sGzGFpKh4tR+qEBWKFHjCao5n7qPhBQW3HMg3GGgz8nm1I92z1s/1JNmnClpF4dLnpX8Njc7Wjtnt5uGiUUgwa3hjzZPF7q9XoxHuL/7JbvvGOGnymGuYw1fLFrBn875Sz3ozaclpDHj3Dx503M5YvWXqiV/8BtK/34Ri7UwFeXx6+RcUNDTVaGnbbuRN16vbsBKAhJqNy/XRYmuyHWAZtdY38hS55xNVTlP5/PvVzwScDgcgs+9Q9I4GdQOVsEazZ5BnZ4dTVgY7X5+idhxhJXERl9nQeyAusybhmpqEUa8ntnpdono+i9OyP2mzazvdl31L+2H9sXOyv+46dDodnlV8qNm2MbpeHbl/4xrsF//GxfaPkOrpg1ZR8EyIJmjj70Q99jDrxn0g1+sJYSVS4AmriTfE0eHK4CpJwfVxcHFSOZF15D/YCwDf0wdJjk4o9e0H1+jEWK8uaFDYSyFzl/Uqdn8Vn6rUGfYnG53aY6sp5BPbL1m3aRGrf9lY6lmvJy0xlf7vrqC701Ze1/0BwDL/5+j7ypfXtP30t95EKRoMGoW3Wt185Mwja3bgFXsRBfAd+lJJRC+X2gx+nCTfqmgVBffNZeM5UFlkp2Vhu2AuGiA2pD4dXi//X3Ldim9IFRIetFzvWeXAFk7/e0jlROJemEwmNkyYRewTvah66qBlBNjgOjgv+IUH//mD7h9NIqjJfXe9/pCW9Qj9bjZtd25DmbeAi626kO3ohH1uLkF//ciezt3Y+/MaKz4iISonKfCEVfz8+xyiNGZanbEUePY9et1iifKj48RhZDs5Y2ssYN+7n6qS4fEen9FDYxlAZVHBefbsKX69i5uLOw+MWsGfbpbTwabqf+TC0cV8+/nvpZ71/0uJT6Hv+3/yqNNmRupWAvBzwPP0e3neNW0vRe7kN9NlAHppvKlV5+Gbrjv+u2/RAEn+1WjUo4O1o5drhY9arluscv4YUeGnVU5Tefz72nicM9LINxio9dEsteOUmi4fTiTVyxddYSEx06epHUfcpaNrdxL20CNUXbmw6BTj+CFv8ODaFVRvUdfq26v30P2ELv6c+9ZuIKp5Z0w2NngkxuI4/Q029B5IzNkoq29TiMpCCjxhFTsvb6D5ObAzQraTM62HVJzh6vUGPUlNLNM9eBzYgjHfqEqO6X03UEMDBYqGt858TlraxWL36/W2PDriR5Z5Wz7cv6b7E+e4xbz85rfEXYwt9by5GTk8M/sf+jhtYLhuFQA/VxlM/5fmXrf9u9tGkKNo8NMqvPnkypuuOykqHp+z4QCYHuptxdQVQ/vRz5Pm4Y1NYSHnZs9RO06lcPjv7VQ5sBWAhK5PEVi/hrqBSpFOp8PmlbGYNRr8os6ydfYPakcSdyAvK5d1z7yKZuzLeMVGUajVEtXsAWr/s45O425+HbQ1uHi70X3Jl+i+WEh8YE20ikLVUwdJeLIXa1+bqtrfXCHKMynwhFWk6+OLTs9Mrtm4wo1m2HzqWIx6Pc6Z6ez4+HtVMtganPio1Yc4aRRizRom/NnnmjY2Oh39hs9nSdArFKKln24ro+zmMeKrn/l67m+lNil63MU45u/N5WmndUUDqiwNHEr/odc/Arp24xR2Y/kjPtyrG3b2rjdd//4Zc7A1GslycqHD2JL/AFLe6HQ6Mjs/BoDfib3En49WOVHFZjKZyJz1DjZmM0l+gTw4a7zakUpd62d6EntfEwAcln9LTkaWuoHEbclITGPPY08QtH8LNoWFJPtWoXDmF3Rf+jUu3m6lmqVupxZ02vAX8UPeINPFFUN+PtU2/Mr+zl04tEJON69IIiMj0Wg0hIeHq5Zh5MiRNG/eHIPBQJMmTa65f+vWrTz22GP4+/vj6OhIkyZNWLJkSekHvUtS4Il7lpaSRJI5h8bnLQWe74ABKieyPu8gf+JrNgZAv/4P1XLUqvMwo9zaoUFhJ0bm//rUddsNHDyLX+tOJtXGmXrai/ximI4+4Td6v7mA/dsOlli+7IwsPpy5lO5f7+FZ13UM1VmupVga+DIDhsy+7jIF+VnMiV2JgoYWaOn98CfXbXeVyWTC48qRkuQmHdAb9FZ9DBVF+4nDyHR2xdZo5NA7led0QTVseuN9PBNiMNnY4D7xnQr3BdftqjdrBvkGA84Zaex4/S2144hbiD8fzZEnnsAn+oLlqN3D/bl/01oa9+qkaq5O44bQYONGotqGYtTpcEtJRPfWaNa/efPrsoW4U4MHD6Zv377XvW/Xrl00atSI33//nSNHjvDCCy/w3HPPsXr16lJOeXfKbYGXkpLCwIEDcXFxwc3NjSFDhpCVdfNvDOPi4nj22Wfx8/PD0dGRZs2a8fvvxa9RCg4ORqPRFPs3c6a8qdzMF8umUvucBhsF0tw9aNKrs9qRSoT/K6+iAF5xl1T9NrFfr/k8hCMA3+We5NDBxddv1/cNYgesYb3LA9hoFIbo/uFrl5l8sfZv3piygNSEFKtlMuYX8P1Xf9Bx2mo2p6fzhf1cBussE7MvCRrGgCEf3nDZT37rQ7RZg51GYUrb6xeB/9+/c3/EOSMNk05HE5ka4Yb0Bj2XGrUHwPfwv2QkpqkbqIKKCj+D32bLlz7RLR6s1JM4B9SpRlxHy/XX/ns3cn7fCZUTiRuJOnqW8wP74ZkQg1GnI3noOLp/OrXMfDnh4OJE9x8+xeHbJST7BKAzmQhctYiNjw0kO02ODpd1a9eupX379ri5ueHp6cmjjz5KRERE0f3Vq1cHoGnTpmg0Gjp16gSA2Wxm+vTpVK1atejI2tq1a4uWu3rkb/ny5XTo0AF7e3tatmzJmTNn2LdvHy1atMDJyYmHH36YxMSbjyI9d+5chg8fTkhIyHXvnzRpEu+++y5t27alRo0ajBo1itDQUP74Q70v+e9EuS3wBg4cyPHjx9mwYQOrV69m+/btvPTSzUfSe+655zh9+jSrVq3i6NGjPP744zz99NMcOlR81K/p06cTGxtb9O+1114ryYdS7l02naXJlaN3GSGNVU5Tchp0b0NiFcubUvKC71TN8v7T6wnWKOQpGt48/iGxlw9ct129Go3oNmYVyxu9xyW9L1U1SSwwzKaTZhmPf/gHC75aQUpc8l3nMJvNrFq2ga7jf2FBVDqTnX5kjWEinW0OY0LLkmrDGTj4xl+QREZs5Y9Cy/WBvW18qVHrNuZOXGt5c40PaYBfjap3nb1S6NqaHAcH7PJy2TXtxkW2uHsRE8ZjW1BAhpsHHed9oHYc1XWZ/RZpHt7oTSbOv/uu2nHEdZz+9xBxg5/FLTWJfIOB7Dfe5YHRg9SOdV012zSixZrVXGrUFoAqpw9ypMcjnNpecmeilGWKopBjzLmrf7mm3LteNseYg6Iotw54RXZ2NmPGjGH//v1s2rQJrVZLnz59MJstc9zu3bsXgI0bNxIdHc3i7xaQHnmJWZOn8PFHH/He6NGErfyTTi1b0atXLw5u2kr6xctkxFpGMp82bRpTpkzh4MGD6HQ6BgwYwJtvvslnn33Gjh07OHfuHFOnTrX6/k9PT8fDw8Pq6y0JZeOrmjt08uRJ1q5dW1StA8ybN48ePXowe/ZsAgICrrvcrl27+Oqrr2jVqhUAU6ZM4dNPP+XAgQM0bdq0qJ2zszN+fn4l/0AqiHSbBBpGWl74Ll26qpymhD36NMyfhW/EMaJPXqBK3eqqxLCzd+XD5u/y4oG3iDNrGLZ5ED/13oCTy/Wft08//hpxSU/yx88T6JW8ikdtdtPB8QgfX36Krp/m4ptfQFsvGzq3qkWrjk2xtbv53F25WTns2xHO7PWniTYYGOH0FwNtNmKrKQRgs0t7zno+xOABw2+6nnf/fZ1cNARoFcY+futvxc7vO4H3Jcu3gC79n71l+8pO52BLYrPOVPv3b7z2bCAv660bzlkl7tzmWd/iH3kKBSgcMrrCTA1zL/QGPQVPD4GvZ+J/9jCHV21V/ZQ/8Z/Dq7ZievsNnHOyybV3QDNtNm16l+2zbuyc7Om2/Hs2vTMPr9++wy0lgbwRg9ky4FU6T6hcU+TkmnJpvbS1KtveM2APDnqH22r7xBPFB9r74Ycf8Pb25sSJE9SrVw8HG8tnDLvMLNxSU9FcKR7n/fA9YwYPpm/37gDMGDWSf3eHMf/br5kzZQq2GakAvDZwIPfXroe9rzejRo2if//+bNq0iXbt2gEwZMgQFi5caI2HXWT58uXs27eP+fPnW3W9JaVcFnhhYWG4ubkVFXcAXbt2RavVsmfPHvr0uXbwCYC2bdvyyy+/8Mgjj+Dm5sby5cvJy8srOjR81cyZM3n33XcJCgpiwIABjB49+qanLeTn55Ofn1/0e0ZGBgBGoxGjsWKP/hQRcRRtshGHAsi109P46dAy8ZivZrB2llav9OXIL9/ikpbC0Zmf4vPdx1Zd/52oed+jvJNwnAmXlhGhaBi2ojvfPPUvOr3dddt7unrR85XvWL/9D6rt/4j6uWeZrl/E27rFHDLUZHNuU97fksnF9ZdprqTTLsgZNxcHYpMyiUnPIy7XTHyhjnitPem2jjiSy1DH7bxoswYnTR4Ae5yakNDoZbq0703mhg033f9rN01mL5aCcIR3D2x0DrfsrzNzv6SaopDq6UvLJx8qE8+1surqvmk4YSSJj2/EMTuLbe/M4cEP3lA5WcWQmZKB86/fAhBdpxmdBj12zfOxpN6Hyrq2wwcQtupnvGMukjpvNsaH26mWpbL2wfXs//kf7D6ehkN+HlnOLjjMmst9HZqV+L6xVh90nPQKJ+5vRvrb43FNTcZ34aesO3KADt98WiGvxTYajSiKgtlsLjrydfV/Nfz/HLdy9uxZpk2bxt69e0lKSipa7uSe/YRoNNgkWs7csTEZ0SgKikZDal4+sQkJtHzgQYwe3iimQig00apFK46dOoFJb6DwymfxhjVrYpuVTmFWOk4FlsHj6tevX7Qdb29vEhISbivv1SOTN2u7ZcsWXnjhBebPn0/dunVv2NZsNqMoCkajERsbm2L3lfZ7ULks8OLi4vDx8Sl2m06nw8PDg7i4uBsut3z5cvr27Yunpyc6nQ4HBwdWrFhBzZo1i9qMHDmSZs2a4eHhwa5du5g4cSKxsbF88smNB36YMWMG77zzzjW3b9myBQeH2/u2o7zaGfEzdSMtP6f4BLNh0wZV8/yvDRusn8dUvw31dv6N99GdrFq5Cp2tmi+jhjybv58fbM8Rjplxyx7gIc9bzUNlx4ma49kds4W2ObupmxtBc81ZmmvPMo7lxNh6sKWwKZvjmxAf546vJhUfTRrN7NLw1aTirUnDR5NGsCYOV00OAMfta7HV7RGq+jWD3P/2+432f6Eph/k5awANLcwazPntWLPm5pPbFhoLCTqxB4CYuq1u2V5Y7D9+CG2dFtQ8shPXHatZvaoOWl25PTu/zNAs/ZtaWZnk2dmT1vuRmz4fS+J9qKzLefBRPJd8ie+lCH5/5zPsW9ZSNU9l7IP/LyfsFPX/XoLeaCTdzZOLg4ZilxnHuVJ8H7VWHxhfG0nGkl8JjDhG0MHt7H+0N3HPPY/Bs2IdQdfpdPj5+ZGVlUVBQQFgKUbWP7JelTzGHCMZmozbatuzZ08CAwP59NNP8fXxxZyRRbvQhzBnpRcVdABGOwdy3L3Q2hsozMoEQDHoMDv8v7OI7A2g11Po601hfq6ljbMrhTY6bApN6AsthZPpQiQZ2XmYnZ3Iz8+nsLCw6IDLzdyq7c6dO+nbty/vv/8+vXv3vuk6CwoKyM3NZfv27ZhMxUctz8nJuWUWaypTBd6ECROYNevmo72dPHnyrtf/1ltvkZaWxsaNG/Hy8mLlypU8/fTT7Nixg4YNGwIwZsyYovaNGjXC1taWl19+mRkzZmAwXP+0tYkTJxZbLiMjg8DAQDp37oynp+dd5y0P/v76Ux64cv1dYf0W9OjRQ+VEFkajkQ0bNvDQQw+h11v3m73MVm2JCt2IQ04OzgfO0fndMbdeqET1QPntcb4viGSbjRG/zM8Y33fdbSzXG4B9J/dxZv9KglIP0SL7MAHmFAbqNjGQTbdcQ6ShCruCBtC7z2ju09sW3X6r/T/rl+7EmDXYaxQmt51DtZCOt9zWtlnzcczOosDWlk7Tx+LqXT7Og1fL/++DpJoNSOvbG9e0FDKPXaLTpGFqxyvXTm87gHJsFwAJXZ6g98Drj2Zbku9DZV4P2B62lYCI4wRu+5tmk9eoMoBHpe6DK/Yu+hOXv35EV1hIirc/wd/+QPMaVUpt+yXSB0/1YdO4D6iy4Ve84y5h9/XnOM6cw30dmlln/WVAXl4ely5dwsnJCTu7/87MceXm0whdj6IoZGZm4uzsjOZKcVVSkpOTOXv2LN988w1Na9RGl5nG7rNnLDm0WgpcPXBysTwGO19v3P0tB2xc3VwJCAggPDychx9+uGh9+/fvp2XLlri4uODkZCninfx9cah9HznJaZiufPbQmgsx5GSi5GZBbj4ajQYXF5db5jUYDNjY2Fy37datW+nbty8zZ87k1VdfveW68vLysLe3p2PHjsX67Op+KU1lqsAbO3YsgwYNummbkJAQ/Pz8SEhIKHa7yWQiJSXlhtfORURE8Pnnn3Ps2DHq168PQOPGjdmxYwdffPEFX3/99XWXa926NSaTicjISGrXrn3dNgaD4brFn16vr/B/UHKNSYRcOWh638CnytzjLYk+8PD3Zl/dlgSF/4vTjn/Q69Wf8+r1/n+R+GN7VpnTWV6YgN+fz/Lik8tua9mWjdrS8soF7EmpCfy1aSl2MbtpnH0YO3M+SToPUnTuZOjcyNG7UWDngc7JBxevQB5o+ygD7G58lPp6+3/1ugn8XpgAaHjcxp+atbvcVk79Fss3zQk1G9M4wPe2lhGWPgiqX4NTdVoQeGw3Tut+QzP51TIzWl55lDzzXXyufFjuMmv8LfdlZfhbcD1VJ07G+PKzeCTGsWvWt3R5e6RqWSprH5zafhCHzz9AV1hIkl8gjX75GVdfdb54tnYfhM6Zxp7FzdB/Og3njDTyxgzjwOip3P98b6ttQ02FhYVoNBq0Wi1a7b2ddXH1lMKr6ytJHh4eeLh7MP+TT5j8yitcio3lrTlzALANqIJrYACOJhP29vasX7+eoKAg7OzscHV1Zdy4cUybNo2aNWvSpEkTFixYQHh4OEuWLCm2H67+7OTtgWNVy5cVBc5uFNposSk0ocvNBrOZgpw87Jyu/xnl3LlzZGVlER8fT25uLkeOHAGgXr162NrasmXLFnr27MmoUaN48skni+oOW1vbGw60otVq0Wg0132ul/b7T5n6C+/t7Y23t/ct27Vp04a0tDQOHDhA8+bNAdi8eTNms5nWra9/8enVQ6P/+8S2sbG56Xm34eHhaLXaa04JFbB1+x+4xlj2XYqnC+1a1FU5UempOWYkeYN24Z4cz67vf6ftkCduvVAJm95/K0lLWrILE19kH8Nn7Th6hX50R+vwcvfh6SdfL3abNUupvXvm8278akxoqKuBMU+uuK3lTm0/iFdMJADeg16wYqLK477J48l85kncUhLZ/tF3PDjxFbUjlUubP/ga/8vnMWs0GEa8KYXyTdRu35T19VoReDQM5zU/k/fGUBnkpxQlRcWT/uZruOTlkuHqTp3Fi1Qr7kpK6+d6ciq4CunjRuCSnoruo7fYdCmaLlNuPsCXKBm5GdmYYi6zeNZM3pg5kxZ9+lAzJITP5n5O125d0dpYPoPrdDrmzp3L9OnTmTp1Kh06dGDr1q2MHDmS9PR0xo4dS0JCAvXq1WPVqlXUqnXrU7xdAwNwcHYhM+py0W3mixdId3bHJdD/miOXL774Itu2bSv6/epgixcuXCA4OJhFixaRk5PDjBkzmDFjRlG7Bx54gK1bt97LbioV5fJCjLp16xIaGsrQoUPZu3cvO3fuZMSIEfTr169oBM3o6Gjq1KlTNBRrnTp1qFmzJi+//DJ79+4lIiKCjz/+mA0bNtC7d2/AMnjLnDlzOHz4MOfPn2fJkiWMHj2aZ555Bnd3d7Uebpn118GfaXTB8nN2lQbqhillNVo1JL6a5Yhu3q8/qZzGwkanY16/HdTTgAkN7yX8w+6wL9SOVeTcmXWMOzOPHEVDoFZh/sMrsDXc3jUTF7/6Gq2ikOwTUGHnWSxpwU3rEFfbcvqS3epl11wfIG4tMyUd5z9+ACCmbgta9A1VOVHZ1+CDtymwtcU5I42tE2fcegFhFfm5+ZwYNAiXtBTy7OxwmTkH7yB/tWOViDodm1Ft6XKSfKuiM5nwW/IFa4dNVDtWpZMRHYdyKRKdyciDbdqwe/1GMtLSOXbyJF0e6oKiKEWft8FSYEVFRVFYWFhUMGm1WqZNm8bly5cpKCggPDyc0ND/3meDg4NRFIUmTZoU3dapUycURcHNzQ2tjRbX6kEMfHUkl/fsRaMo2GakkHXmLHmZxa+B27p1K4qiXPMvODgYgIULF173/vJQ3EE5LfAAlixZQp06dejSpQs9evSgffv2fPPNN0X3G41GTp8+XXTkTq/Xs2bNGry9venZsyeNGjVi8eLFLFq0qOi6MYPBwLJly3jggQeoX78+77//PqNHjy62XvGfNJvLNL5y/Z2h3QMqpyl99n2fA8D34mnOhR1ROY2FrcGJ+T1WEaRRyFU0vHn2K44f+13tWCQnnGbEnrGkmDV4ahW+bDMXd++at14QyMvKxfvUfgBy23YryZgVXsiEcRRqtbgnx/PvnMVqxyl3do2ahNOVgVUazZZi5XYE1AoirsWDAPj8u5rU2NK9DqWy2j5wKN4xkRTa2JDz6iTqdm6ldqQS5VejKs3/WkFMjfpoFYVqW1ay/skXMObL6KklzWQ0kXH2PPrUJDSKQqGNDgKDca1RHVv764/qXdIcPVxwuO8+Chwt19XpjAWYoy6QHhV9R/P5lWfltsDz8PBg6dKlZGZmkp6ezg8//FB08SX8V+X//ykQatWqxe+//058fDzZ2dkcPnyYZ5/9by6tZs2asXv3btLS0sjNzeXEiRNMnDjxhoOrVHY26Rm45EKBXkvLFx5XO06pazOoNylefmgVhYg5c9WOU8TNqzpftPscL61CqqJh6MFprFk/SbU8OdkpvLz2SaLNGhw1CrPrjCa45oO3vfy/s77GPjeXPIMdbSfIaTf3okarhsTVagKAftUSdcOUMye37CXgoOV0nsQuT+AbUnqDVJR3bWe/TY6DI/a5uewZf6tRfsW9WvvqJKqe2AdAbM9naffS9QcBqmgcXJx44M9lRDW3nOUReGw3//Z8gozENHWDVWA5qRnknTuLPt9yMKXA3hH7+2ph76r+iKZXj+YpVYIotNFdOZqXStbZc5gKKv4ZLOW2wBPq+unX2fhFWX5O8vOvtBP85nR8BADfU/vL1B+R4BqdmNt4Cv5ahUxFw6TYVXz2c89Sz1FoMvHabw9yWgE9CtP8H6NFyyF3tA7Djn8ASKzdFEe3yvk8s6aqY8di1mrxSIhh+7yycXpxeZDw/vSiUQgfnKX+wErlibOHK8mdewMQcGg7UUfPqhuoAts861sCt6wEIKp5Zx6aWbmeqzqdju5LvuTSIwMxa7X4RZ3laJ8+RJ+8oHa0CkVRFNKjoiH6EjaFhSgaDUZPH1xrVL9m/je1Obi74FD7/x3NK8gnL+IcedmlO21BaZMCT9yVvTHbaXLeMsCKsVbFPvXjZjpMGk6OgwOG/HzC3pujdpxiGjbqx8/df6eBRkMhGr4riGTUopYU5GeVWoa3lndmL4VoUBjl0oyHH3r/jpY/ti4Mr7hLKEDAkKElE7KSqdOxGXE1LNPCaH5bpHKa8mHzB1/jczlCBla5B50/GE+6mwd6o5HTU6erHadCOrRiI54/zUOrKMRWr0uXRWXnzJLS1u3jKSS++AYFej0eSXFEP9+fk1v3qx2rQjDmF5B5NgLbjFQ0KJh0erTB1XHxL7uDEWq1lqN5Jh9/FI0Gm0IThRcjyUpOUztaiZECT9yVPHMs90Vbfg564jF1w6jIzsmexIaWKQZc92wscwNXePrU5sd+ewnFEYDN5DHglzbEx4SX+LYPJc5mLdkAPKOvwvN97vyar5jvvgUg2T+IBt3bWDVfZeb/+mjMGg1e8ZfZOf8XteOUaTKwinXoDXpyez8PQMDpg5zYsFvlRBVLVPgZCt+biK3RSKqXLy2XLKj0X0R0GvMCxikfkmvvgHNGOrmjX2Lvz6U3sXtFlJOWSUFEBPqCPAAKHF1wvK8Wdo43ni6pLHH28YSq1TBrbdCazWjjosmIiVc7VomQAk/csbycHBzjsrFRINXNjnpdrj81RWVR/83XKbSxwTUtmV1f3d7cc6VJZ2vHR8/vZrh9bfQonFag/6Zn2L/vuxLZnqkgj0+WP8If+lQAumsceXPA7Uy8XlxmSjo+Zw4CkN/x4Vu0FneiXpfWxIXUA6Bw2QKV05RtMrCK9XSe8BJJvlXRms3EfzxT7TgVRl5WLpdeewXH7CyyHZ2o+vk3OHvc+WTYFVGLvqE4fPYtmS5u2OfmYvfBBLZ9ulDtWOVSRlwiREehNRdi1mox+fjjWj2oxOfVszYHVyf0ISGYdLZoFAV9SiLpF6Iq3OAr5atXRJnw5ZIphFy0/Jzhf3sjIVZkgfVrEF/d8mHZvKrsHg155enf+DCwL65ahUSzhldPzuHnP1+y6jb+/OcNHv2lBT+ZYlHQ0AIbZg34967WFTbzKwz5+eTaO9B+3MtWzSnAe/gozBoN3rEXCVu4Uu04ZZIMrGJ9+sGWgZL8Ik+ze9FKdcNUENsHj8AjMRajTofNlBkENblP7UhlSp2Ozai6eBkp3n7ojUY8v/2I9eNnqR2rXEm/eBl9UrxllEydHl216pajYeWUrZ0Bh1o1MBos83LaZmeQee48haZClZNZjxR44o5F5BynyZXpEWxbdlE5Tdng+qxl8m3vyxFl+jz/rg++xcLWH1NNa5lG4YO0MB5b3IDvfutHXm76Xa/32NFfeXZxY6YkrCParMFOo/CI0YF5j2/E5i5PE3IMWw9AYt2WMjlyCWjUowPxwXUAKPhRpoK5noT33paBVazs/ud7E3vleWf6/vMyd1p7ebN5xtcEHtkFQPyjz9C0T1eVE5VNAXWq0fCPFcQH1sDGbCbwz4WsfXGs2rHKvMLCQjLOnsc2Mw0Ao60d9jVqYHAs/3+TbWxscK4ZQoGT5Wi3Pj+XnHPnKMjNVzmZdUiBJ+6YTVY8XhlgsoGmL1SO4ZdvpUXfh0n2CUCrKFz68ku149xUzfu6s+yxjbRDjxaF84qGz7KP89Cv7ZjyY3sunr/9I26piecYt/h+njv4DuGKGQ0KrbFhScvZtPGehMHu7k4TOrRyCx6JsZg1GkJGDLurdYhbc3/5NRTAJ/oCe5b8rXacMmXjW5/iE30Bs0aD3cgJlf56JmvyGzeBQq0Wz4Rotn9YMqeKVwbnwo7gsexrAKLva1zpRsy8Uy7ebrRZ9TvRtZsBUO3fNax/4nmZK+8GCnLzyTl77r8pEBxdcK5VAxt9xXkv1Gg0uAYHYvTwQdFo0JmMFESeJy+r/I+wKQWeuCNxMRdwu1wAQLy/G+7+5fcQvbXlPfAoAL6nDpAeX7Yn83Vy8ePr5w+yrMW7dMcBR41CmqLhT3M6vXe8wpBFTdiy9QPAMtVBauI5Is5u4NDBxWzb/iF/rXuTj39+mJ5re7NWycaIhhCNwqfV+vPd8+FUr3lvR3aTFlkGtUgKCKZW28b3/HjF9TXt3Zn4apbTuXIXfq1ymrIjKSoej9WWKSSiG7ah+VPdVE5UsdTr0pqYui0AcPxzMfkV5Bvz0pSXlUv8m69jyM8nw82DVt/L6/d2GOwNdPp9ERdbW450Bh7fy789nyzzf7NLW05aBsYL59GZjJYpEDy8ca0ehEajUTtaiXAJ8EHxq4qi0WJTWEhhVCQ5aZlqx7onUuCJO/LVH+9SN9Lyc37VFqpmKWs6THqVHAdHbAsKCHvvM7Xj3Ja69fsw+/k9bOi1jiG21aiiVTChYS+FjLz4M80XN6DpkiZ0XNOH3rvG8NzRjxhx4Ucmxf3DwoLLpJs1uGsUXnOoyx8DwunSafI9Z0qPT8bn3BEACrv0uuf1iZtzHmw5Qupz6RwHfl2vcpqy4dDocdjn5pDt6ETLzz5UO06FVP+9tynQ2+KSnsrWCTJ4zZ3a9uLIouvu7Ca9j4u3m9qRyg2dTkfoonlE9RiAWaPBL+oMJ/r04fy+E2pHKxMyYhMh+lLRYCqKX1VcAnytuo3IyEg0Gg3h4eFWXe+dGDlyJM2bN8dgMNCkSRMcPV3RBAYVjbB55t9tdGzfAV9fX+zs7AgJCWHKlCkYjeXjiK8UeOKOJBovUO+S5fo7v0cr7/QI12OwN5DYuD0A7nvL3pQJN+PsVoXX+6/m7/7hfOD3ME00WrQoFCgaFP77xs5Wo+CsUfDQKgRoFXpqXVjV629eemr5XV9r97/C3vsMW2MB2Y5OdBh7Z5OiizvXom8o8YE10AAZ332hdhzV7fnpLwJOWK6jzXj8BTlLoYRUqVud2BadAfDe/pccQbkDWz78jsBwy6n0sQ/3p3GvTuoGKqe6f/IWSS+9SYGtLW4piaS+/GylPlVdURTSIy+hT/5/g6kEV8fRs+KOyDp48GD69u1b9Lu9ixO64GAKbXTY2tgwILQ7K5b+wunTp5kzZw7ffvst06ZNUzHx7ZMCT9wR1/gkbE2Q6aSjce9OascpcxqNH43JxgaX9FR2zvtJ7Th3zEano2f3D/nxucP83ek7Fjccx8q2n7C9xwoO9d/HgeeOseu5Y2x79hjrnj3GB8/uxM2tmtW2bzKZcNu3CYCkRu3QG/RWW7e4MfvnLaOU+l48w57Ff6mcRj35ufmYv/wIraIQH1STBye/qnakCq3th2+T4+CIfW4OYePeVjtOuXB+3wncln6BBoip2ZDuH01SO1K59sDoQWhmfk6WsysOOTk4zJjAxrfLxxk41lRoNJF5LgLbLMtga0aDPfY1a2BwuLvBVNauXUv79u1xc3PD09OTRx99lIiIiKL7q1evDkDTpk3RaDR06tQJALPZzPTp06latWrRkbW1a9cWLXf1yN/y5cvp0KED9vb2tGzZkjNnzrBv3z5atGiBk5MTDz/8MImJiTfNOHfuXIYPH05ISEix2w0O9hhCQgisHsLzvXvT1NcLd52BXr16MXDgQHbs2HFX+6S0SYEnblv4oS14X7YMIZtQxU8GHbiOgDrViK/RwPLL37+qG+YeVa12P02bPUeNWg/h7l0Tna1diW8zbP5yXNNSMNnY0PDNUSW+PWHR+pmexAXXRgMYv5tTro4+W9OW0W/jlpKIUaej6jvvqx2nwnPxdiO5cx8AAg5tI+roWZUTlW35ufnEjB2JXV4eGa7utPj+K7UjVQiNenSgyo+/kOxbBZ3JRMCyr1n7wutl8n1QURTMOTl39y8397q35yQmk33sGDbpaZjz8sjT2eIY4IemoKBYuzuZJy47O5sxY8awf/9+Nm3ahFarpU+fPpjNZgD27t0LwMaNG4mNjeWPP/4A4LPPPuPjjz9m9uzZHDlyhO7du9OrVy/Oni3+3jBt2jSmTJnCwYMH0el0DBgwgDfffJPPPvuMHTt2cO7cOaZOnXrX+1lvsMWhRg1MeoPl99QkDm37l7Vr1/LAAw/c9XpLk3xCF7dt6fZv6HZlegRdXZke4Ubcn3sRpryGV/QFTmzaU+kngr8Tpj8t8wgmVK9Hw7rVVU5TufhNmELh8EF4JsSw9b0v6Pp25Sqwz+87gf9Oy+lZMW1CCW3TSOVElUPnD97kwM5/cE1L5vTUdwhaUf7OfCgtW198naCEaEw6HbYT38fVV04ftpaAOtVw+2slu555kSpnDlMtbB3bHovm/iULcHRzUjteESU3l9PNmt/18vG32S7uOrfVPngAjYPDbS3/xBNPFPv9hx9+wNvbmxMnTtCgQQO8vb0B8PT0xM/Pr6jd7NmzGT9+PP369QNg1qxZbNmyhTlz5vDFF/9dQvDGG2/QvXt3AEaNGkX//v3ZtGkT7dq1A2DIkCEsXLjwNh/t9dnodTjWqkGbFi04fPw4+QUFDOrXn3feeeee1lta5AieuG2m7CiqpIBZA42GDFA7TpnV/MmuJPlWRasoXP5KvmG9XefCjuBzyfItnVO/Z1VOU/nU7dSCmPqWLyNc/15KTkaWyolK18UpE7E1Gkl396Lz3PfUjlNp6A168p6wzCMacOogR9aUj9OfStu2TxdS9eA2AGK6PU3T3p1VTlTxOLg40emPn7jY/hHMGg0BEccI79mLqPAzakcrd86ePUv//v0JCQnBxcWF4OBgAKKiom64TEZGBjExMUVF2lXt2rXj5MmTxW5r1Oi/L+B8fS0DwDRs2LDYbQkJCff6MNBqtfy6ciXb/lzNwlmzWL95E+9PnIS50HzP6y5pcgRP3DbPmDQA4vzsqV8rSN0wZVxB556w7Ct8Tx8iOToBzyo+akcq8yLmfkGQopDi5Ue7Z3qqHadSajxzOjF9HsUpM4PtY98h9NuP1I5UKrbM/Aa/i2cwazQoL4/FYG9QO1Kl0mncEHasWY5XbBQJcz6CHh3UjlSmRB09i/PiuWgVhZga9en+yVtqR6qwdDodod/NZvP7IXj9/BUeibEkD+pHRL9X6DzhJbXjobG3p/bBA3e8nNlsJiMzExdnZ1Ag6+Il9HnZAJj0BuyCAtEbbG+57dvVs2dPqlWrxrfffktAQABms5kGDRpQUFBwx9mvR6//7/r8q1M3/O9tV08HvVdBQUEEBQVRp04dCgsLGTF9OiMHDcKxRo1b7jM1yRE8cVv+XreQqhctL5b0gBoqpyn7Ok4cRraTM7bGAva9P0ftOGVedloWPif3AZDTPlTlNJWXb0gV4tv3AMB/z3piTl1UOVHJS49Pxvk3y2TbMXWa0WZQb3UDVVKGl0ahAH5RZ9n5Tfm+ftmaTCYTka+PxD43lyxnV5p886XakSqFBye/inHax2S6uGGXl4vfwk9Z/8TzZKakq5pLo9GgdXC4u3/29hSYzORdvoyBQrR2dpjcvXBuWB+Du9stl7/dOfCSk5M5ffo0U6ZMoUuXLtStW5fU1NRibWxtLYVRYWFh0W0uLi4EBASwc+fOYm137txJvXr17nHP3TvX4ECMDk4YTSa0+Xnkny/bE6JLgSduy+bjf9Hgymc9/y791Q1TDugNepKaWL6F9ti/pUxerF2W/Pv+XOzycsmzs6fdpOFqx6nUOs2aQoarO7YFBRyfXPGPFOweNQHHrExy7e1p9PEsteNUWq369yAupL7llx+/kvfMKzYOn4x3dCSFWi3mUZPlbJBS1PypbtT+azXRtZsClknRj/d4hEMrt6ic7O4oqRlw+RI2hSbL5OVuXrjWCEartW4p4O7ujqenJ9988w3nzp1j8+bNjBkzplgbHx8f7O3tWbt2LfHx8aSnWwrncePGMWvWLH75xTI1wYQJEwgPD2fUKOtfE37u3DnCw8OJi4sjNzeX8PBwwsPDi44yLlmyhOXLl3Py5EnOnz/P8uXLmf7hTJ54rDc6WwM2hSYKoyLJVrnovxEp8MRtcUyOxqEAcuw0tBgop8/djiYTR2PS6XDOSGPHJwvVjlOmOe+yTLCdUL81Di5l54L2ysjOyZ7s3s8BEHDyQIW+Jmr/L/9Q5cguAJIfHoBvSBWVE1VuARMmUWhjg0diLFvfkzkZ9/68hqo7VgNwue3DtJZT10udq68nXf9cSnS/V8i3NeCaloxu8musGzGl3HwJkZ+dS/bZc9hlZ6BBwaTTowkKxqWq360XvgtarZZly5Zx4MABGjRowOjRo/noo+Kn++t0OubOncv8+fMJCAjgsccs8yqPHDmSMWPGMHbsWBo2bMjatWtZtWoVtWrVsnrOF198kaZNmzJ//nzOnDlD06ZNadq0KTExMUUZZ82aRatWrWjUqBHvvPMOI0aMYOFPP6Kp+t+E6JrYy2TE3XxKBjVolDsZ91TcloyMDFxdXUlKSsLTs2KMcvXpi/UJ/ddMRIgzj67Zq3acWzIajaxZs4YePXoUOy+7tG18bCBVTh8kyS+QDlvXq5ajtN3J/t+9aCWuMyZi1mqxX/QrIS3VPxWjIrjX18COzt3xio0iPrAGnTasLoGE6spITOPkoz1wSU8lsUowbdf9ZfWpX8rK+1B5sv7pwQQeCSPLyZna/6zHxdvtntZXXvsgNTaZs489inNGGokB1Wi7fnW5nZqovPbB/zoXdoTYCWPxir8MQHxgDWrNnUeVEhrxOS8vjwsXLlC9enXs7O5umqKM6Hh0aUlornzUL3ByxTmoitWP2lVGBbn5FFyMxMZktPzu4oHBx+OGfZacnIyXlxfp6em4uLiUeD7pYXFLu3evxT/acv1djp8MXX8n/F4dgVmjwSvuEnuW/K12nDIpe7llWPSEoFpS3JUhDq+OxazR4Hspgu3zKt7Q9XteGYlLeip5BjuCZn9abj88VzSNZ75Lnp09TlmZhI2aoHYc1Rx8aTjOGWnk2dkT/MlceX6WATXbNOL+9Wu42KY7Zq0W30sRxA94grWvTSUvK1fteMUY8wvIOBuBPjURjaJQaKMjx8NHijsrsrU3YF+zBsYrcwTbZqSQGRWNYi4bx82kl8UtrQhbyH3Rlp+rdXlO3TDlTIPubUgItJxakP3jdyqnKXsuHY/A94Jl+GP9Y3JtZ1nS/KluxNW0DEWtXzofY75R5UTWs/Wj76l63DKoT8rjgwluWkflROIq35AqJHbvC0CV8B0V+hThG9kw5WMCzh5GAdIGvEpQk/vUjiSu0Bv0hC6YQ+b498lydsE+N5dqG37lyIOd2TDlE9VP2yw0FZJ+MZqCiHPo8y1FZ4G9I3Y1a2LjUHZHfCyvbHQ6nGqGUGBvubREn5dNQUICEXuPqZxMCjxxG2xTLmFfALkGaPZkN7XjlDv2Ay1zPPlePM2JTXtUTlO2HP/wM2zMZtLdPbl/6BO3XkCUqpBp0zDqdLilJrFl0odqx7GKmFMXcVlqGYkwplZjukx7TeVE4n89+P5YknyrWt4bPnxX9Q/NpenU9oP4rFoMwOWGbej85osqJxLXc//zvam9Zh0X2z1Mvq0B54x0qv72Lfs6dmHbpwtLPU+hyUT6xcvknTmNbWYqWrMZs1aLydsP1xrV0drIx/2SotVqca0RTIGrJ4pGg9ZciPG9yWyYNFvdXKpuXZQLHnGWEYJi/R3RG8rv+fNquf/53kUTn0d/Pk/tOGVGfm4+3kctA1ykt+oqpyCVQdVb1CWmWScAvDb/QWpssrqBrOD0qJHY5+aQ5eRCk6/nqh1HXIdOp8Nl7GQKtVq84i6xZeoctSOVivzcfJInj8W2oIA0D2/afy/Pz7LMxduN0O8/wW/FaqKatMek0+GWkoDP/Fns6NSNPYv/KvEMhcarhd0ZbDPT0JrNKBotBU6uGGreh7OvV4lnEBaugf7gF4BZq0VvNFL1j+/Z9OjTJEff+4Trd0MKPHFT584cwjfGMk9Jhl+gymnKL9MjllOO/M6Ec+l4hMppyoYdM7/CISebfFsD90+SoyhlVduP3yXHwRH73Bz2jp2sdpx7sm7cB0UTmhtfHidDzpdhjXt1IrpxOwA8//mZxKhYlROVvK0vvo5HYhxGnQ6nqTNkROFywq9GVbov+xanhcuJrt206Lp7lw/eZHvnUNYOn8y5sCN3vf7rjYVoKjCRHnmJvLP/FXZmraWws73vPlyDA9HZypempc3OyQG9jw+x9zVBAQLOHSWidy9VxmCQAk/c1KI1n1LbMmAUVdrJNVJ3q8OYQaS7eaIrLOTEB+oeti8rDFstb3gJtZvh6lsxRputiFy83Uh+6CkAqh7azq5vf1M50d05uXU/fmuXAXC52QO0HfqkyonErdw/ZwbZjk7Y5+YQPnq82nFK1PZ5P1H14DYA4rr3pWFoO5UTiTtVvUVduv65FPOn3xIXXBsA79iLVNv0B8YX+rK7TXvW9X+ZsIUrb+ua5qsjjubk5FgGTYlNID0ikqxTpzGeOYVtVvp/hZ2zG3a1rhR2eins1JKTk4NWq6Xzlx+R8OI48uzscc5Mx/H9N9n6+rRSzSLPAnFzyZE45EOeLbR+5jG105RbOp2OjI6P4rpqEb7HwkiNTcbdv/IWNYdWbMQr/jJmjYbAV19RO464hQffH8uOQzvxizqL7deziO/SplzNGZefm0/KW2/iYTSS6unDA/M/UTuSuA2uvp5kPP4Cjj/OI+DEfvb+vIZW/XuoHcvqIvYexfn7T9AqCrHV69Lt4ylqRxL3oGFoOwhtx6GVW0j4/Teczx/DLTkB19RkXFO3w6HtHJsznZSqNTG5eqHY2oKtAWwNaG0NaOwMaO3tMefmYudhoKBlE3xcXbDTaNAApiv/zFothfZOOPh6YdDpMBaaMBZe/3pVs9lMQUEBeXl5MopmCVAUhZycHBISEnBzc8PGxoZObwwmqnsHIl8fiXd0JEG7S3eqLCnwxE15xqcCEOtvT1N7g8ppyreOU0dxbNPvOGZnseftDwmdP0vtSKpJXvgDVYCkKtV5oHMrteOIW9DpdNT+4nNi+z6OY3YWJ14dge/aFWrHum1bhr1JtcRYTDodzm99gJ2TvdqRxG16cPKrbN26Bt9LEZg+/xDj4w9VqGvBczKyiBszEo+8XDJc3Wn83ddqRxJW0rR3Z+jdGYDIQ6c4vXAZhhP78Yi9iF1eLgHnjt5yHYpGgymhFwmdHkCxtUXR6VF0emzs7dDb6dAU5MKlS7dej6KQm5uLvb09Go3mnh+buD43Nzf8/P6bQD6oYS0C1v3FxuGTcdv6Z6lmkQJP3FBychw+MZZvg1J9/VVOU/7ZOdmT1OJBHLetwmv/ZvKycivlB82oo2fxjbD8YTN366NyGnG7AmoFETFkDHafv4df5CnWj32vXBxp2LPkbwL3bgQgunMfQuXUt3LHf9q7FLzyHO7J8Wwe9y7d505XO5LV7Hx+GFWT4jDq9dhNnSnXhVZQwU3rENz0bQAyU9LZ9+1yTPt2oc3PQWsyoi00ojWZ0BSasCk0oi20jH2Q5V2FQrML1Zx9CW5x9/PEGo1Gtm/fTseOHcv1ZPNlmV6vx8bG5prbdTodofNnsXXR/TDo8VLLIwWeuKGvl02l25Xr7/xayvUq1tD67Te5GLoOx+wstr87l26zKvZ1Jddz8v0PCTKZSHf3pMOYQWrHEXegw/ABrNu1g6ADW/Fb9wtHH+pcpq8VunQ8Au2c6WjNZhKqhtD106lqRxJ3oXb7pqxt2ZVqYWvx3bqKS8efJ7B+DbVj3bP1b84k8OR+ABIeH0zXRzqqnEiUBmcPVx4cPxQYWmrbtLGxwWQyYWdnJwWeSho+WrqvbzkRV9xQfvw5nPKgQA9tnn9K7TgVgru/J/EN2gDgsu2vSjW/E0BcxGX8jlvmAszs0kemRiiHOn03hxRvf/QmE1nTJ5KdlqV2pOtKjU3m0ktDcMrMINfegeqzP5XnWznW8bN3yXB1x1CQz5nxE9WOc88O/Loe/zVLALjUqC1d33ld3UBCiApFCjxxQx7xSQDE+BtkuGYrqjfpDUw2NrimJbPjk4VqxylVh9+ega3RSKaLG53eGql2HHEXDPYGPN+fTYGtLW4piewcWvb6MS8rl6PPPIN7cjwFtrYok2cR1OQ+tWOJe+Dg4kTBcyMAy9Dj2z5brHKiuxd/Phrzh2+hM5lI9q3CA4u+VDuSEKKCkQJPXFdeTg7eMZZhfJP9fFVOU7EE1q9B3H1NAND9/Yu6YUpRcnQCvod3ApDW4dEKNVBCZVOnYzMSej0HQNWjYWz96HuVE/3HZDKxs9/zeEdHUmhjQ8bL42n+ZFe1Ywkr6DB8ADE1GgDgvHAOF/afVDnRnTOZTJx66eWiI8tBn32JQQYwE0JYmRR44rrmL5lGzSvX33k1fETdMBVQlRGvWSZDjb/M7kUr1Y5TKvZNnYmhIJ9sJ2c6vjNG7TjiHj303liiazVCA7gu+YKo8DNqRwJg07OvEnDuKGaNhrjHh9Bh+AC1IwkravzV52S6uGKfm0vMmBHkZeWqHemObHxxLD6XIzBrteQOmyBHloUQJUIKPHFdydGHccmFAh10GDpY7TgVTr0urYmvZpkINXfpApXTlLyMxDR8D2wFIPn+bpVy9NCKqPk3X5Lp4opdXi6RY0aqfk3p2mETCTq0A4BLnXvT9d3RquYR1ucV5It+4nsYdTo8EmLY/sJwtSPdtq2fLCBwzwYALj3Qi3YvybXtQoiSIQWeuC6PuAQAYv1scXST6+9KguOzLwLgE3WWw39vVzlNydr11izs8nLJtXeg/XsT1I4jrMTd3xNGT6VQq8U75iJbnhqEMd+oSpYNUz4h8Mo8Q1FNOxL65Qeq5BAlr2mfrsQ/+gwAgUfD2PjWpyonurXDf2/HbdFnlsnMQ+rRdd67akcSQlRgUuCJ6/KOzQcgyd9L5SQVV+uBj5AYEIxWUUid85HacUpMTkYW3nst31ontOwiXxhUMK369yD6Qct8hlVPHuDfnk+QkZhWqhl2fP4T/n98j1ZRiKnZkC4/flGq2xel76GZ47lctwUAPisXlOkvyU5u2YvprdEY8vNJd/Ok6fffyIiuQogSJQWeuMbCpe8TcuX6O4f7ZF6ekuTw8ijMGg2+l86x85tf1Y5TIna8NRuHnGzy7Oxo827lm/evMuj++XtE9XwWs1aLX9RZjj7+ODGnLpbKtvcs/guX+R9hYzaTUKU67ZYtkg/PlUS7RV+R6uWL3mgkb/oEUmOT1Y50jXNhR8h+YzgOOTlkOrvi99V3liPfQghRgqTAE9c4f2YnbtlgtIGur4xSO06F1qJvKHEh9Sy//PiV6tcwWVt+bj4eu/4BIL5JR1x95YNNRdX9o0kkDh6LUa/HIzGWy8/14+TW/SW2PWO+kXWDR+M4cwK2xgJSPX1p9NOPcn1nJeLg4oTPR3PJM9jhkp7KocFDy9R7aOShU6SMfAnH7CyyHZ1w/2w+wU3rqB1LCFEJSIEnruERHw9ArJ8OF283dcNUAlUnTqbQxgaPxFi2vVex5kPa+d7nOGVmUGBrS/Ppcu1dRdfpjcHkTZpJrr0Dzhlp5I5+ib0/r7H6dk5u3c/eh0IJ2rUWG7OZxIBqVPtugRwZqYRqtmlExiDLmRD+F06y8bW31I4EQPTJC8QPG4JzZjq59g44fPg5tdo2VjuWEKKSkAJPXMM71jLsdKKffFgqDbXbNyWmfisAnNf8XO6G/b6RQmMhbttWARDXsC3eQf4qJxKloVX/Hjh89i2ZLm7Y5+Zi98EEts7+wSrrNplMrBvzLsbXBuOREINJpyOqyxO0Xb+aKnWrW2Ubovx5YPQgLrV+CICq21ax69vfVM0Tfz6aqCHP45KWQp6dHTbvfEy9Lq1VzSSEqFykwBPF/P3P91SLVgDQBTdXOU3l0eD9tymwtcU5I41tE95XO45VGLcfxiU9FaNOR8O35OhdZVKnYzOqLvmFFG9/9EYj3j98zLpRb9/TCJuXjkfw78N9CFqzFL3RSKqnL8qHX9L9i/fkmjtB1+8+JqFqCDZmM4avZqg26EpqbDLnnn8Gt5RECmxtKZw4g8a9OqmSRQhReUmBJ4rZu+9PPDPBpIXuIyapHafSCKgVRGyrrgB471xDcnSCyonujclkImj/FgDi6rUkoE41lROJ0hZQK4hGf64gLqgWWrOZoHW/cPT+1mzo8yy7vv3ttq+VMuYb2fTu5yQNfArfS+cwazREtehMs3X/0KhHhxJ+FKK80Ol01J4/nyxnFxxycmDia2z58LtSzZCZks6x/v3xSIzDqNeTM+YdWvQNLdUMQggBIF97imLc42IBiPW1oaFcz1Kq2n04lTMPbcchO4v949+m+0/l93q8sM8W45+SiMnGhvsmvql2HKESZw9X2v/1O5sHDcfv2G7sc3OpenI/nNxP+NezSKnRCLc+T9DsqW7odDryc/M5tnobSWF70F44g0NSNM6piQRcKQYzXVwpfHUC3Qf1VveBiTLJr0ZVcr5cQNzrw3BPTsBnwSdsijgLPdqW+LbPhR0hdsJYvOIvY9LpyHh1Iu3leSqEUIkUeKIYr7hsABL83dQNUgk5e7iS9GAfgv76Ef/wHUSFnyGoyX1qx7pjeVm5OKz8EYC4+5rQUEaNq9T0Bj3df/6GzJR09sxdiE3YZrwuR+CYnYXjkV1wZBcHP3XFpLfDOS0Jh8JCgv5nHYU2NsTe15RWX8+RkVjFTYW0rIfXyj858OwL+EWeotq2VVyKvkBOhwdw9XCz+vZMJhObx8/Cd8NyvAoKKLSxIXnQaDoN62/1bQkhxO2SUzRFkX171xN02XL9XWFAfZXTVE4PvjeOdHcv9CYTp99+R+04d2Xr62/hmpZMga0tIZPk2jth4ezhSte3R9F53Z8ErN/M5d6DSKgaQqFWi3NGOu7J8egKCzHpdKR6+XK5bnOiQvuR/c4n1Nyzj4dW/CjFnbgtLt5udFj9KxdbdUUBAs8d5WjvJ4k+ecGq24k8dIqdoY8R+PdP2BYUkObuRf47c+j0xmCrbkcIIe6UHMETRf5e9w19M6BQA4+MnK52nEpJb9CT98QLuH73EQGnD3FkzY5ydZ3R2V2HCdi9DoCI5g/Ss0ltlROJssizig8PzRwPjCcu4jKHv16Mxqzg3aEt9bq3xWBvUDuiKOd0Oh2hi+exfuqn+P/xA54J0cQ825eEyR/QtE/Xe17/hsmz8V79Ez75+Zg1Gi4360SHrz7EwcXJCumFEOLelNsjeCkpKQwcOBAXFxfc3NwYMmQIWVlZN10mIiKCPn364O3tjYuLC08//TTxV+Z8u5f1VhQu8ZcBiPPR4hXkq3KayqvTG4NJ8g9Cqygkz/lI7Th3JPrtKehNJlI9feCR8lOYCvX41ahK948m0e3jyTTt3VmKO2FVnd8awbGnh5Lj4IhTViY2U8ewfux7dz2QVfTJC2wJ7U3V37/HkJ9PhqsHWZNn0X3Jl1LcCSHKjHJb4A0cOJDjx4+zYcMGVq9ezfbt23nppZdu2D47O5tu3bqh0WjYvHkzO3fupKCggJ49e2I2m+96vRWJT2wmAHEBrionEYaXRqEAflFnVZ/T6XZtfv9LfKMsoxxqX3kDG72N2pGEEAKHxtVwm7+QFC8/9EYjgX8vIbbbg2zv8jDrRk4l8tCpmy5/ft8JNr79Gev6vkhC/yfwizyNWaPhUuO21PtnDa2f6VlKj0QIIW5PuTxF8+TJk6xdu5Z9+/bRokULAObNm0ePHj2YPXs2AQEB1yyzc+dOIiMjOXToEC4uLgAsWrQId3d3Nm/eTNeuXe9qvRVF5PnjVI22FLq5/iEqpxGt+vdg84/f43/+BMqiLzA+9xh6g17tWDeUHp+Myx8LAIip14JO/UJZs2aNyqmEEMIiqEltfFatZNewsXidO4xDdhbe0ZEQHUnO+l/Z5eVLRq0mePfoQdblGHLDD2IXcx7n5FgccnKo8v/WleXsSsHQsXR76Sm1Ho4QQtxUuSzwwsLCcHNzKyrCALp27YpWq2XPnj306dPnmmXy8/PRaDQYDP+d/mNnZ4dWq+Xff/+la9eud7Xeq+vOz88v+j0jIwMAo9GI0Xj3E/uWpp9++YAn0sAMPPjc5HKT+0au5i/Pj8Nv3ARMI17AIymOTS+Npct3H6sd6YZ2jxxPUHYWufYONPjw/Qqx/8s76QP1SR+o7//3gZ2zAw/+9BUmk4kjv28ibc1qXC8cwzU1GfekeNyT1kHYOhz+Zx0KkOnqTpZXAMbqdWgx6TVcvT2kX2+TvA7UJ32gvtLe9+WywIuLi8PHx6fYbTqdDg8PD+Li4q67zP3334+joyPjx4/ngw8+QFEUJkyYQGFhIbGxsXe9XoAZM2bwzjvXjni4ZcsWHBz+909F2WQfexGABG8NGRfPcOziGZUTWceGDRvUjnBPTK27U2/XGgL3buS36XNxaFFT7UjXyDkZTaOjYQCca9uDS8cOwjHLfeV9/1cE0gfqkz5Q3zV94Az0fZg8HiYyMgnD/nC8ok7ikRBDnr0DGR5+ZHpXJSeoGjb1grF1++9v+c59u0s3fAUhrwP1SR+oJycnp1S3V6YKvAkTJjBr1qybtjl58uRdrdvb25tff/2VYcOGMXfuXLRaLf3796dZs2Zotfd2KeLEiRMZM2ZM0e8ZGRkEBgbSuXNnPD3Lx7DeS5dOBiDOz5Ene/RQOc29MxqNbNiwgYceegi9vuye2ngrpm7d2P3YWfyizlJrzTICnvsd72B/tWMVMZlMHPz4UbRmM4kB1eg5exI6na7C7P/yTPpAfdIH6rv9PngOsLyn6XRl6qNRuSevA/VJH6gvOTm5VLdXpt7Fxo4dy6BBg27aJiQkBD8/PxISio+AZTKZSElJwc/P74bLduvWjYiICJKSktDpdLi5ueHn50dIiOWas7tdr8FgKHbq51V6vb5cvJCyMlLxjy0EIN23arnIfLvKSx/ciF6vp/YXnxPb93Ecs7M4/dpIfFb/VmY+gGweP5OghBhMNjZ4TXwbe3v7YveX9/1fEUgfqE/6QH232wfSTyVHXgfqkz5QT2nv97LxKfEKb29vvL29b9muTZs2pKWlceDAAZo3bw7A5s2bMZvNtG7d+pbLe3l5FS2TkJBAr169rLLe8uqbH6bQ/Upd27znMHXDiGsE1Ari/NCx2M19F7/I02wa9wHdP52qdiyiT17Ad9Pvlp+bdyb0oftVTiSEEEIIIcrlNAl169YlNDSUoUOHsnfvXnbu3MmIESPo169f0UiX0dHR1KlTh7179xYtt2DBAnbv3k1ERAQ//fQTTz31FKNHj6Z27dq3vd6KqPDSCbRAspuGlt27qR1HXEf7Yf253KwTAAEbfuXw39vVDQScenMihvx8Ml3c6DB3htpxhBBCCCEE5bTAA1iyZAl16tShS5cu9OjRg/bt2/PNN98U3W80Gjl9+nSxixpPnz5N7969qVu3LtOnT2fy5MnMnj37jtZbEXnEpQAQ62+nchJxM52++5QUb390JhO5700mOy1LtSybZ31LwNnDAOQOHIajm0zwK4QQQghRFpSpUzTvhIeHB0uXLr3h/cHBwSiKUuy2mTNnMnPmzHtab0XkG1cAQIqfzy1aCjUZ7A14zfiYvFcH4ZqaxM4XR9Dtt4WlnmPn/F/w/nEuADE1GtBl1HOlnkEIIYQQQlxfuT2CJ6xjwY/vEnRlBogqzXqqG0bcUu32TUns8wIAgcf2sHnG16W6/b0/r8Hp8w/QmUwk+Val1Y/fler2hRBCCCHEzUmBV8nFH9uJvhAyHCH0hZfVjiNuQ9d3Xie6dhMA3JfN58L+u5s65E4d/ns7+lmTsTUWkOrpS72lS3D2cC2VbQshhBBCiNsjBV4l5xFvGT4zxt+2zAy9L26t5Tefk+Hqjl1+HgnDX+Tklr23XugenNp+ENNbY7DLyyPDzYPghYvxrCKn9AohhBBClDVS4FVyPrF5ACT5lY8J2YWFq68nthOmk2ewwyU9hfzXX2LH5z+VyLYiD50ic+wwHHKyyXJ2wfer7wmoFVQi2xJCCCGEEPdGCrxKbNPm5QTGWgaisQtpoXIacaea9umK3Wffku7mgSE/H48vZ7BuxBSrbiPmbBRxw4bglJlBjoMjzh9/RXDTOlbdhhBCCCGEsB4p8CqxPZuX4FAAubbw9Oh31Y4j7kLdTi2o9fsK4oNqojWbCdr4Oxt6DyQvK/ee150cnUDkoOdwTUshz84O3bufUKdjMyukFkIIIYQQJUUKvErMLT4WgBh/HQZ7g8ppxN3yrOJD+zUriGreGYCqpw6y75FeRJ+8cNfr3L1oJaf69cM9OZ4CvS3G8e/T+JGO1ooshBBCCCFKiBR4lZh3rGWi7AQ/N3WDiHum0+novuRLLj85FJNOh1f8ZWKf7cuB3zbe9jryc/PZMOUTdnbojOuMiXgkxmLS6cgaMYlW/XuUYHohhBBCCGEtMmxiJXXuzEECYyzX3xkDaqmcRljLQ++NYW/9Oth8NBXHrEyMb49m29fVyPOvhm39xtTs2YXA+jWKLRN/PppDH3yC16HtVM22FP1mjYb4arVxeeFl2vUNVeOhCCGEEEKIuyAFXiX1288f8lgOGG3g8eHvqx1HWFGr/j2IqluTS6+9gkdiLD6XI+ByBOzbTNbCT9nv6ESWpx95/tWxyUjF92w41UwmAApsbYmv24KQ10fxYJtGKj8SIYQQQghxp6TAq6Qc46MAiPHV0qiqv8pphLUFNbkP3/X/sPubX8g7fAjb6PM4JcfhlJWBY3YWjtnnIOpcUftMF1dSWnah9ZQxNPaXKTOEEEIIIcorKfAqKa/YDADi/Z1UTiJKisHewAOjngOeK7ot5mwUZ/7cSN7RcOxiLYOwmDs/QsdxL8pE90IIIYQQFYB8oquEsjJSCYgttPzsE6hyGlGaAmoFEfDGYLVjCCGEEEKIEiKjaFZC3349Hp80MGugc/831I4jhBBCCCGEsBIp8Cqjy2cAiPPSUK/V/SqHEUIIIYQQQliLFHiVkFdcCgDx/vYqJxFCCCGEEEJYkxR4lZBfrBGAFF8/lZMIIYQQQgghrEkKvErmh2+mEpBo+bl2h6fUDSOEEEIIIYSwKinwKpmUU2FogUQ3eOjpQSqnEUIIIYQQQliTFHiVjGdcEgBxAQaVkwghhBBCCCGsTQq8SsYvLg+AJF9vlZMIIYQQQgghrE0KvEpk/V+LqBpn+dm1djt1wwghhBBCCCGsTgq8SuTIv7+hM0O6I/QdMUXtOEIIIYQQQggrkwKvEnGLiwUgJkCPTqdTOY0QQgghhBDC2qTAq0R8YnMASPRzUzeIEEIIIYQQokRIgVdJ7Nz2F0ExCgDaao1VTiOEEEIIIYQoCVLgVRK71nyHwQQZDvDChE/VjiOEEEIIIYQoAVLgVRLusdEARFfRyfV3QgghhBBCVFBS4FUSfjGW6+8S/D1VTiKEEEIIIYQoKVLgVQJbN/1KYKzl+jt99WYqpxFCCCGEEEKUFCnwKoED6xZhW2iZ/+75cR+qHUcIIYQQQghRQqTAqwTcYy3z312uKvPfCSGEEEIIUZFJgVcJXL3+LlGuvxNCCCGEEKJCkwKvgtu4egmBlgN42NdqrW4YIYQQQgghRImSAq+CO7xlKTozpDrDM6PeUzuOEEIIIYQQogRJgVfBecRduf6uilx/J4QQQgghREUnBV4F5x+TC0CSv7fKSYQQQgghhBAlTQq8CmzV8vlUjbP87FK3nbphhBBCCCGEECVOCrwK7NzuldgokOwKz4ycrnYcIYQQQgghRAmTAq8C84yzHL6LrmKrchIhhBBCCCFEaZACrwLzj84DINHfR+UkQgghhBBCiNIgBV4F9fuPn1ElwfKzV6NOqmYRQgghhBBClA4p8CqoqANr0CqQ6A79Xp6sdhwhhBBCCCFEKZACr4LyiosHICbAoHISIYQQQgghRGmRAq+C8o/OByAxQK6/E0IIIYQQorKQAq8CWvbDh1RJtPzs3zRU3TBCCCGEEEKIUlNuC7yUlBQGDhyIi4sLbm5uDBkyhKysrJsuExERQZ8+ffD29sbFxYWnn36a+Pj4Ym2Cg4PRaDTF/s2cObMkH4rVxR3eCEC8Bzw5eIzKaYQQQgghhBClpdwWeAMHDuT48eNs2LCB1atXs337dl566aUbts/OzqZbt25oNBo2b97Mzp07KSgooGfPnpjN5mJtp0+fTmxsbNG/1157raQfjlV5xVqGz4ypItffCSGEEEIIUZno1A5wN06ePMnatWvZt28fLVq0AGDevHn06NGD2bNnExAQcM0yO3fuJDIykkOHDuHi4gLAokWLcHd3Z/PmzXTt2rWorbOzM35+fredJz8/n/z8/KLfMzIyADAajRiNxrt6jPci4Mr1d0n+vqpsvyy4+rgr6+NXm+x/9UkfqE/6QH3SB+qTPlCf9IH6SnvfaxRFUUp1i1bwww8/MHbsWFJTU4tuM5lM2NnZ8euvv9KnT59rlvnrr7/o06cP2dnZGAyWI1v5+fk4OjoyZcoU3n77bcByimZeXh5Go5GgoCAGDBjA6NGj0eluXAu//fbbvPPOO9fcvnTpUhwcHO7x0d6Z88c3E7p4PQCbX+hD1TqtS3X7QgghhBBCiP/k5OQwYMAA0tPTiw40laRyeQQvLi4OH5/io0PqdDo8PDyIi4u77jL3338/jo6OjB8/ng8++ABFUZgwYQKFhYXExsYWtRs5ciTNmjXDw8ODXbt2MXHiRGJjY/nkk09umGfixImMGfPftW4ZGRkEBgbSuXNnPD097/HR3pkvN80DIMYLXhpzbdFZWRiNRjZs2MBDDz2EXq9XO06lI/tffdIH6pM+UJ/0gfqkD9QnfaC+5OTkUt1emSrwJkyYwKxZs27a5uTJk3e1bm9vb3799VeGDRvG3Llz0Wq19O/fn2bNmqHV/ncp4v8v1Bo1aoStrS0vv/wyM2bMKDry978MBsN179Pr9aX+QvKOsQyfGVvFXl7EqNMH4j+y/9UnfaA+6QP1SR+oT/pAfdIH6int/V6mCryxY8cyaNCgm7YJCQnBz8+PhISEYrebTCZSUlJueu1ct27diIiIICkpCZ1Oh5ubG35+foSEhNxwmdatW2MymYiMjKR27dp39HjUEBBTAECyv6/KSYQQQgghhBClrUwVeN7e3nh7e9+yXZs2bUhLS+PAgQM0b94cgM2bN2M2m2nd+tbXnHl5eRUtk5CQQK9evW7YNjw8HK1We80poWXRgnmTuT8FzECdDn3VjiOEEEIIIYQoZWWqwLtddevWJTQ0lKFDh/L1119jNBoZMWIE/fr1KxpBMzo6mi5durB48WJatWoFwIIFC6hbty7e3t6EhYUxatQoRo8eXXRkLiwsjD179tC5c2ecnZ0JCwtj9OjRPPPMM7i7u6v2eG9X5ukwAGJ8oPsTg9QNI4QQQgghhCh15bLAA1iyZAkjRoygS5cuaLVannjiCebOnVt0v9Fo5PTp0+Tk5BTddvr0aSZOnEhKSgrBwcFMnjyZ0aNHF91vMBhYtmwZb7/9Nvn5+VSvXp3Ro0cXuy6vLAuIujL/XaCjykmEEEIIIYQQaii3BZ6HhwdLly694f3BwcH87wwQM2fOZObMmTdcplmzZuzevdtqGUvTycN7qB5ZCEBqUE2V0wghhBBCCCHUoL11E1Ee/PPj+zgUQIYDPP/G3FsvIIQQQgghhKhwpMCrIHyiogC4EGyLu2fZHxBGCCGEEEIIYX1S4FUAWRkZBEfmAxAfVEXlNEIIIYQQQgi1SIFXAXw3ewSeGVCgg7ZPlo8BYYQQQgghhBDWJwVeBeB08RQAkYE2tGzfVeU0QgghhBBCCLVIgVcBBEVmAnC5mpfKSYQQQgghhBBqkgKvnFswbzKB8WAGPFuEqh1HCCGEEEIIoSIp8Mq53OM7ALjsr6HfixNUTiOEEEIIIYRQkxR45VyVi8kAXKrmonISIYQQQgghhNqkwCvHtm38g+AoMwB5IQ1UTiOEEEIIIYRQmxR45dihv+ZjWwhJrjDo9U/UjiOEEEIIIYRQmRR45Zh/VCwAkdXtcXKRUzSFEEIIIYSo7KTAK6dio6OoHmkEIDmomspphBBCCCGEEGWBFHjl1M9zx+CcC9kG6PPyTLXjCCGEEEIIIcoAKfDKKc9L5wG4EKyjWo3aKqcRQgghhBBClAVS4JVT1SJzAYgN8lc5iRBCCCGEEKKskAKvHPrivVfwTQGTFup0fVbtOEIIIYQQQogyQgq8ckh//jAAkVU1dHtMCjwhhBBCCCGEhRR45VDVi+kARFfzUDmJEEIIIYQQoiyRAq+c+X3xHKrFKADo67ZVOY0QQgghhBCiLJECr5yJ2bMKrQIx3jBkzIdqxxFCCCGEEEKUIVLglTNVLiYAEBXspHISIYQQQgghRFkjBV45Er5vO8FRhQCkB92nchohhBBCCCFEWSMFXjny74Jp2BdAijMMeeNLteMIIYQQQgghyhgp8MqJrIwM6h6NA+BEA1ec3V1VTiSEEEIIIYQoa6TAKye+efc5AhIhXw8+oc+rHUcIIYQQQghRBkmBV06EHD8LwIk6Bh7rO0zlNEIIIYQQQoiySAq8cuCrGcOpdd4MQGrj+1VOI4QQQgghhCirpMArB5wP7UQLnAnWMnzK12rHEUIIIYQQQpRRUuCVcX//9h31T+YDcL5BTZXTCCGEEEIIIcoyKfDKuOg132NnhFgvGDr1R7XjCCGEEEIIIcowKfDKsEuRZ6l/LA2Akw18cHJxUTeQEEIIIYQQokyTAq8M++OT4XhkQIYDtBvyrtpxhBBCCCGEEGWcFHhlWO2jlwE4Xt+JJi07qpxGCCGEEEIIUdZJgVdGfTqpL9ViFYw2YGjfS+04QgghhBBCiHJACrwyKvDYCQBO3qdn4MtvqZxGCCGEEEIIUR5IgVcG/fDZJOqcNQEQ17CxymmEEEIIIYQQ5YUUeGWQzZ512ChwvqqGUdNlagQhhBBCCCHE7ZECr4wJ27KK+idyADjboJrKaYQQQgghhBDliRR4ZcyhZR/hmAeJbtB33Hy14wghhBBCCCHKESnwypBvPhpL0wNJAJxo6IF/lSCVEwkhhBBCCCHKEynwyojv57xJvV/X4JYF8e5Q7+mxakcSQgghhBBClDNS4JUBiz5/i1rL/sIzw3JqZtQzT9PxocfVjiWEEEIIIYQoZ6TAU9lPX75D8JLf8E6DJFc4168Xzw1/R+1YQgghhBBCiHJICjwV/fzNDKr+tAyfVEh2gVNPP8Lg12epHUsIIYQQQghRTpXbAu/999+nbdu2ODg44ObmdlvLKIrC1KlT8ff3x97enq5du3L27NlibVJSUhg4cCAuLi64ubkxZMgQsrKyrJ7/90Vz8F28GN8USHWGY090Z+jY2VbfjhBCCCGEEKLyKLcFXkFBAU899RTDhg277WU+/PBD5s6dy9dff82ePXtwdHSke/fu5OXlFbUZOHAgx48fZ8OGDaxevZrt27fz0ksvWTX7n8u+xO27+fgnQZojhD/emVfGz7HqNoQQQgghhBCVj07tAHfrnXcs16ktXLjwttorisKcOXOYMmUKjz32GACLFy/G19eXlStX0q9fP06ePMnatWvZt28fLVq0AGDevHn06NGD2bNnExAQcM+5//7tOxy+nEdAIqQ7wME+DzB84pf3vF4hhBBCCCGEKLcF3p26cOECcXFxdO3ateg2V1dXWrduTVhYGP369SMsLAw3N7ei4g6ga9euaLVa9uzZQ58+fa677vz8fPLz84t+z8jIAMBoNGI0GotuT01OQPvlJ1RNgAwH2PdYO14ZP69YG2EdV/ep7Ft1yP5Xn/SB+qQP1Cd9oD7pA/VJH6ivtPd9pSnw4uLiAPD19S12u6+vb9F9cXFx+Pj4FLtfp9Ph4eFR1OZ6ZsyYUXRE8f/bsmULDg4OxW6LbFgVt/RL7AxtRq0mPVmzZs1dPR5xezZs2KB2hEpN9r/6pA/UJ32gPukD9UkfqE/6QD05OTmlur0yVeBNmDCBWbNuPorkyZMnqVOnTikluj0TJ05kzJgxRb9nZGQQGBhI586d8fT0LN64Rw/2/bueUe27lXLKysVoNLJhwwYeeugh9Hq92nEqHdn/6pM+UJ/0gfqkD9QnfaA+6QP1JScnl+r2ylSBN3bsWAYNGnTTNiEhIXe1bj8/PwDi4+Px9/cvuj0+Pp4mTZoUtUlISCi2nMlkIiUlpWj56zEYDBgMhmtu1+v1130hte38yN08BHEXbtQHonTI/lef9IH6pA/UJ32gPukD9UkfqKe093uZKvC8vb3x9vYukXVXr14dPz8/Nm3aVFTQZWRksGfPnqKRONu0aUNaWhoHDhygefPmAGzevBmz2Uzr1q1LJJcQQgghhBBCWEu5nSYhKiqK8PBwoqKiKCwsJDw8nPDw8GJz1tWpU4cVK1YAoNFoeP3113nvvfdYtWoVR48e5bnnniMgIIDevXsDULduXUJDQxk6dCh79+5l586djBgxgn79+lllBE0hhBBCCCGEKEll6gjenZg6dSqLFi0q+r1p06aAZWCTTp06AXD69GnS09OL2rz55ptkZ2fz0ksvkZaWRvv27Vm7di12dnZFbZYsWcKIESPo0qULWq2WJ554grlz55bOgxJCCCGEEEKIe1BuC7yFCxfecg48RVGK/a7RaJg+fTrTp0+/4TIeHh4sXbrUGhGFEEIIIYQQolSV21M0hRBCCCGEEEIUJwWeEEIIIYQQQlQQUuAJIYQQQgghRAUhBZ4QQgghhBBCVBBS4AkhhBBCCCFEBSEFnhBCCCGEEEJUEFLgCSGEEEIIIUQFIQWeEEIIIYQQQlQQUuAJIYQQQgghRAUhBZ4QQgghhBBCVBBS4AkhhBBCCCFEBSEFnhBCCCGEEEJUEFLgCSGEEEIIIUQFoVM7QEWkKAoAmZmZ6PV6ldNUTkajkZycHDIyMqQPVCD7X33SB+qTPlCf9IH6pA/UJ32gvszMTOC/GqGkSYFXApKTkwGoXr26ykmEEEIIIYQQZUFycjKurq4lvh0p8EqAh4cHAFFRUaXSieJaGRkZBAYGcunSJVxcXNSOU+nI/lef9IH6pA/UJ32gPukD9UkfqC89PZ2goKCiGqGkSYFXArRay6WNrq6u8kJSmYuLi/SBimT/q0/6QH3SB+qTPlCf9IH6pA/Ud7VGKPHtlMpWhBBCCCGEEEKUOCnwhBBCCCGEEKKCkAKvBBgMBqZNm4bBYFA7SqUlfaAu2f/qkz5Qn/SB+qQP1Cd9oD7pA/WVdh9olNIar1MIIYQQQgghRImSI3hCCCGEEEIIUUFIgSeEEEIIIYQQFYQUeEIIIYQQQghRQUiBJ4QQQgghhBAVhBR4VvbFF18QHByMnZ0drVu3Zu/evWpHqhDefvttNBpNsX916tQpuj8vL4/hw4fj6emJk5MTTzzxBPHx8cXWERUVxSOPPIKDgwM+Pj6MGzcOk8lU2g+l3Ni+fTs9e/YkICAAjUbDypUri92vKApTp07F398fe3t7unbtytmzZ4u1SUlJYeDAgbi4uODm5saQIUPIysoq1ubIkSN06NABOzs7AgMD+fDDD0v6oZUbt+qDQYMGXfO6CA0NLdZG+uDezJgxg5YtW+Ls7IyPjw+9e/fm9OnTxdpY6/1n69atNGvWDIPBQM2aNVm4cGFJP7xy4Xb6oFOnTte8Fl555ZVibaQP7s5XX31Fo0aNiibJbtOmDf/880/R/fL8L3m36gN5/pe+mTNnotFoeP3114tuK1OvBUVYzbJlyxRbW1vlhx9+UI4fP64MHTpUcXNzU+Lj49WOVu5NmzZNqV+/vhIbG1v0LzExsej+V155RQkMDFQ2bdqk7N+/X7n//vuVtm3bFt1vMpmUBg0aKF27dlUOHTqkrFmzRvHy8lImTpyoxsMpF9asWaNMnjxZ+eOPPxRAWbFiRbH7Z86cqbi6uiorV65UDh8+rPTq1UupXr26kpubW9QmNDRUady4sbJ7925lx44dSs2aNZX+/fsX3Z+enq74+voqAwcOVI4dO6b8/PPPir29vTJ//vzSephl2q364Pnnn1dCQ0OLvS5SUlKKtZE+uDfdu3dXFixYoBw7dkwJDw9XevTooQQFBSlZWVlFbazx/nP+/HnFwcFBGTNmjHLixAll3rx5io2NjbJ27dpSfbxl0e30wQMPPKAMHTq02GshPT296H7pg7u3atUq5e+//1bOnDmjnD59Wpk0aZKi1+uVY8eOKYoiz//ScKs+kOd/6dq7d68SHBysNGrUSBk1alTR7WXptSAFnhW1atVKGT58eNHvhYWFSkBAgDJjxgwVU1UM06ZNUxo3bnzd+9LS0hS9Xq/8+uuvRbedPHlSAZSwsDBFUSwflLVarRIXF1fU5quvvlJcXFyU/Pz8Es1eEfxvcWE2mxU/Pz/lo48+KrotLS1NMRgMys8//6woiqKcOHFCAZR9+/YVtfnnn38UjUajREdHK4qiKF9++aXi7u5erA/Gjx+v1K5du4QfUflzowLvscceu+Ey0gfWl5CQoADKtm3bFEWx3vvPm2++qdSvX7/Ytvr27at07969pB9SufO/faAolg+4//+D1v+SPrAud3d35bvvvpPnv4qu9oGiyPO/NGVmZiq1atVSNmzYUGy/l7XXgpyiaSUFBQUcOHCArl27Ft2m1Wrp2rUrYWFhKiarOM6ePUtAQAAhISEMHDiQqKgoAA4cOIDRaCy27+vUqUNQUFDRvg8LC6Nhw4b4+voWtenevTsZGRkcP368dB9IBXDhwgXi4uKK7XNXV1dat25dbJ+7ubnRokWLojZdu3ZFq9WyZ8+eojYdO3bE1ta2qE337t05ffo0qamppfRoyretW7fi4+ND7dq1GTZsGMnJyUX3SR9YX3p6OgAeHh6A9d5/wsLCiq3jahv5+3Gt/+2Dq5YsWYKXlxcNGjRg4sSJ5OTkFN0nfWAdhYWFLFu2jOzsbNq0aSPPfxX8bx9cJc//0jF8+HAeeeSRa/ZVWXst6O6otbihpKQkCgsLi3UagK+vL6dOnVIpVcXRunVrFi5cSO3atYmNjeWdd96hQ4cOHDt2jLi4OGxtbXFzcyu2jK+vL3FxcQDExcVdt2+u3ifuzNV9dr19+v/3uY+PT7H7dTodHh4exdpUr179mnVcvc/d3b1E8lcUoaGhPP7441SvXp2IiAgmTZrEww8/TFhYGDY2NtIHVmY2m3n99ddp164dDRo0ALDa+8+N2mRkZJCbm4u9vX1JPKRy53p9ADBgwACqVatGQEAAR44cYfz48Zw+fZo//vgDkD64V0ePHqVNmzbk5eXh5OTEihUrqFevHuHh4fL8LyU36gOQ539pWbZsGQcPHmTfvn3X3FfW/hZIgSfKhYcffrjo50aNGtG6dWuqVavG8uXL5U1HVFr9+vUr+rlhw4Y0atSIGjVqsHXrVrp06aJisopp+PDhHDt2jH///VftKJXWjfrgpZdeKvq5YcOG+Pv706VLFyIiIqhRo0Zpx6xwateuTXh4OOnp6fz22288//zzbNu2Te1YlcqN+qBevXry/C8Fly5dYtSoUWzYsAE7Ozu149ySnKJpJV5eXtjY2FwzWk58fDx+fn4qpaq43NzcuO+++zh37hx+fn4UFBSQlpZWrM3/3/d+fn7X7Zur94k7c3Wf3ez57ufnR0JCQrH7TSYTKSkp0i8lJCQkBC8vL86dOwdIH1jTiBEjWL16NVu2bKFq1apFt1vr/edGbVxcXORLrCtu1AfX07p1a4BirwXpg7tna2tLzZo1ad68OTNmzKBx48Z89tln8vwvRTfqg+uR57/1HThwgISEBJo1a4ZOp0On07Ft2zbmzp2LTqfD19e3TL0WpMCzEltbW5o3b86mTZuKbjObzWzatKnYOdLCOrKysoiIiMDf35/mzZuj1+uL7fvTp08TFRVVtO/btGnD0aNHi33Y3bBhAy4uLkWnOIjbV716dfz8/Irt84yMDPbs2VNsn6elpXHgwIGiNps3b8ZsNhf98WnTpg3bt2/HaDQWtdmwYQO1a9eWUwPvwuXLl0lOTsbf3x+QPrAGRVEYMWIEK1asYPPmzdeczmqt9582bdoUW8fVNvL349Z9cD3h4eEAxV4L0gfWYzabyc/Pl+e/iq72wfXI89/6unTpwtGjRwkPDy/616JFCwYOHFj0c5l6Ldz5+DHiRpYtW6YYDAZl4cKFyokTJ5SXXnpJcXNzKzZajrg7Y8eOVbZu3apcuHBB2blzp9K1a1fFy8tLSUhIUBTFMjRtUFCQsnnzZmX//v1KmzZtlDZt2hQtf3Vo2m7duinh4eHK2rVrFW9vb5km4SYyMzOVQ4cOKYcOHVIA5ZNPPlEOHTqkXLx4UVEUyzQJbm5uyp9//qkcOXJEeeyxx647TULTpk2VPXv2KP/++69Sq1atYkP0p6WlKb6+vsqzzz6rHDt2TFm2bJni4OAgQ/RfcbM+yMzMVN544w0lLCxMuXDhgrJx40alWbNmSq1atZS8vLyidUgf3Jthw4Yprq6uytatW4sNQZ6Tk1PUxhrvP1eHxh43bpxy8uRJ5YsvvpAhyq+4VR+cO3dOmT59urJ//37lwoULyp9//qmEhIQoHTt2LFqH9MHdmzBhgrJt2zblwoULypEjR5QJEyYoGo1GWb9+vaIo8vwvDTfrA3n+q+d/Ry8tS68FKfCsbN68eUpQUJBia2urtGrVStm9e7fakSqEvn37Kv7+/oqtra1SpUoVpW/fvsq5c+eK7s/NzVVeffVVxd3dXXFwcFD69OmjxMbGFltHZGSk8vDDDyv29vaKl5eXMnbsWMVoNJb2Qyk3tmzZogDX/Hv++ecVRbFMlfDWW28pvr6+isFgULp06aKcPn262DqSk5OV/v37K05OToqLi4vywgsvKJmZmcXaHD58WGnfvr1iMBiUKlWqKDNnziyth1jm3awPcnJylG7duine3t6KXq9XqlWrpgwdOvSaL5SkD+7N9fY/oCxYsKCojbXef7Zs2aI0adJEsbW1VUJCQoptozK7VR9ERUUpHTt2VDw8PBSDwaDUrFlTGTduXLF5wBRF+uBuDR48WKlWrZpia2ureHt7K126dCkq7hRFnv+l4WZ9IM9/9fxvgVeWXgsaRVGUOzvmJ4QQQgghhBCiLJJr8IQQQgghhBCigpACTwghhBBCCCEqCCnwhBBCCCGEEKKCkAJPCCGEEEIIISoIKfCEEEIIIYQQooKQAk8IIYQQQgghKggp8IQQQgghhBCigpACTwghhBBCCCEqCCnwhBBCCCGEEKKCkAJPCCGEEEIIISoIKfCEEEIIKxs9ejSPP/54sdtat27NsGHDVEokhBCispACTwghhLCyvXv30qJFi6LfCwsLOXr0KM2aNVMxlRBCiMpAoyiKonYIIYQQoiIoKCjA0dERk8lUdFvr1q35/vvvadCgAfv27StW+AkhhBDWJkfwhBBCCCvR6XTs3LkTgPDwcGJjY1m7di2HDh1Cp9PRsGFDlRMKIYSo6HRqBxBCCCEqCq1WS0xMDJ6enjRu3Ljo9kOHDlGvXj0MBoOK6YQQQlQGcgRPCCGEsKJDhw4VK+6u3ta0aVOVEgkhhKhMpMATQgghrCg8PPyaAi88PFwKPCGEEKVCCjwhhBDCio4ePUqTJk2Kfo+MjCQ1NVUKPCGEEKVCrsETQgghrMhsNnP69GliYmJwdHTk0KFDaDSaYkWfEEIIUVLkCJ4QQghhRe+99x4LFy6kSpUqvPfeexw4cICaNWvi4uKidjQhhBCVgMyDJ4QQQpSgFi1a0KpVK7788ku1owghhKgE5BRNIYQQwsoUReHixYv8+OOPHDt2jB9//FHtSEIIISoJKfCEEEIIKzt27Bj3338/jRo1Yt26ddStW1ftSEIIISoJOUVTCCGEEEIIISoIGWRFCCGEEEIIISoIKfCEEEIIIYQQooKQAk8IIYQQQgghKggp8IQQQgghhBCigpACTwghhBBCCCEqCCnwhBBCCCGEEKKCkAJPCCGEEEIIISoIKfCEEEIIIYQQooKQAk8IIYQQQgghKggp8IQQQgghhBCigvg/5S7cRL5f9pkAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "times = np.arange(4*dt,t+dt,4*dt)\n", + "\n", + "plt.figure(figsize=(10, 6)) \n", + "\n", + "for i in range(2*N):\n", + " result_plot = np.array(magnetization_values)[:,i]\n", + " plt.plot(times,2*result_plot-1,label=f'atom {i}')\n", + "\n", + "plt.title('Qubit Density Evolution')\n", + "plt.xlim(0,t)\n", + "\n", + "plt.xlabel(r'$tJ$')\n", + "plt.ylabel(r'$\\langle \\sigma^z \\rangle$')\n", + "plt.grid()\n", + "\n", + "plt.legend(loc='upper right')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": ".venv", + "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": "3.10.14" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +}