{ "cells": [ { "cell_type": "markdown", "id": "485ef94e", "metadata": {}, "source": [ "\n", " \"image0\"\n", "" ] }, { "cell_type": "markdown", "id": "4b5f2fd4", "metadata": {}, "source": [ "# Correcting for signal distortions due to Bias Tee\n", "\n", "### Introducing BIAS Tee\n", "The Bias-T (Bias Tee) is a diplexer consisting of an inductor and a capacitor. As shown below, the capacitor port (also known as the RF port) allows the passage of high-frequency components while attenuating the low-frequency elements of the signal. In contrast, the inductor port (also known as the DC port) allows a DC signal to pass through. The output port combines the RF and DC inputs.\n", "\n", "\n", " \"image1\"\n", "\n", "\n", "A Bias-T is essential for spin qubit systems, especially when combining a small RF signal with a large DC offset. This configuration allows for significant attenuation of the RF line to minimize noise, while the DC component is filtered through a series of filters and the Bias-T itself.\n", "\n", "However, the Bias-T, being a filter, inevitably introduces signal distortion that can compromise the waveform sent to the qubit. In this demo we showcase how to mitigate these undesirable effects, which manifest as an exponential decay visible on both long and short timescales (relative to the Bias-T's time constant). We will present two optimized solutions, one for each scenario.\n", "\n", "Additionally, we will validate these improvements by applying the corrections to a real Bias-T and comparing the output on the oscilloscope with our simulated results." ] }, { "cell_type": "code", "execution_count": 1, "id": "1534ee0f", "metadata": { "execution": { "iopub.execute_input": "2025-03-12T18:00:08.554856Z", "iopub.status.busy": "2025-03-12T18:00:08.554671Z", "iopub.status.idle": "2025-03-12T18:00:12.782414Z", "shell.execute_reply": "2025-03-12T18:00:12.781740Z" }, "title": "HEADER" }, "outputs": [], "source": [ "from __future__ import annotations\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from bias_tee_utils import (\n", " bias_tee_correction,\n", " bias_tee_distort,\n", " get_axis,\n", " plot_waveform_and_rectangle,\n", ")\n", "\n", "import quantify_core.data.handling as dh\n", "from quantify_scheduler import QuantumDevice, Schedule\n", "from quantify_scheduler.backends.graph_compilation import SerialCompiler\n", "from quantify_scheduler.operations import (\n", " NumericalPulse,\n", " RampPulse,\n", " SquarePulse,\n", ")\n", "from quantify_scheduler.operations.pulse_compensation_library import PulseCompensation\n", "\n", "from utils import initialize_hardware, run_schedule" ] }, { "cell_type": "markdown", "id": "eebaf977", "metadata": {}, "source": [ "### Scan for clusters\n", "\n", "We scan for the available devices connected via ethernet using the Plug & Play functionality of the Qblox Instruments package (see [Plug & Play](https://qblox-qblox-instruments.readthedocs-hosted.com/en/main/api_reference/tools.html#api-pnp) for more info).\n", "\n", "`!qblox-pnp list`" ] }, { "cell_type": "code", "execution_count": 2, "id": "0a5db554", "metadata": { "execution": { "iopub.execute_input": "2025-03-12T18:00:12.785954Z", "iopub.status.busy": "2025-03-12T18:00:12.785285Z", "iopub.status.idle": "2025-03-12T18:00:12.789697Z", "shell.execute_reply": "2025-03-12T18:00:12.789253Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Data will be saved in:\n", "/root/quantify-data\n" ] } ], "source": [ "device_path = \"devices/spin_device_2q.json\"\n", "config_path = \"configs/tuning_spin_coupled_pair_hardware_config.json\"\n", "dh.set_datadir(dh.default_datadir()) # Enter your own dataset directory here!" ] }, { "cell_type": "markdown", "id": "83fa5e9f", "metadata": {}, "source": [ "### Quantum device & hardware settings\n", "Here we initialize our `QuantumDevice` and our qubit parameters, checkout this [tutorial](https://quantify-os.org/docs/quantify-scheduler/tutorials/Operations%20and%20Qubits.html) for further details.\n", "\n", "In short, a `QuantumDevice` contains device elements where we save our found parameters. Here we are loading a template for 2 spin qubits, but we will only use qubit 0." ] }, { "cell_type": "code", "execution_count": 3, "id": "3ccc29b1", "metadata": { "execution": { "iopub.execute_input": "2025-03-12T18:00:12.791227Z", "iopub.status.busy": "2025-03-12T18:00:12.791045Z", "iopub.status.idle": "2025-03-12T18:00:13.462478Z", "shell.execute_reply": "2025-03-12T18:00:13.461738Z" } }, "outputs": [], "source": [ "quantum_device = QuantumDevice.from_json_file(device_path)\n", "qubit = quantum_device.get_element(\"q0\")\n", "quantum_device.hardware_config.load_from_json_file(config_path)\n", "_, instrument_coordinator, cluster = initialize_hardware(quantum_device, ip=None)" ] }, { "cell_type": "markdown", "id": "ca8e6a3c", "metadata": { "lines_to_next_cell": 2 }, "source": [ "### Schedule definition\n", "The `schedule_function` consists of two schedules:\n", "- The `uncompensated_sched` schedule plays the instrument's output directly without any correction.\n", "- In contrast, the `compensated_sched` schedule employs the `PulseCompensation` operation with the net-zero protocol to mitigate the Bias-T's long-term decay effects. This operation calculates the required compensation pulse parameters, including amplitude and duration, and inserts the compensation pulse after the main schedule body has executed." ] }, { "cell_type": "code", "execution_count": 4, "id": "06e4955c", "metadata": { "execution": { "iopub.execute_input": "2025-03-12T18:00:13.465701Z", "iopub.status.busy": "2025-03-12T18:00:13.465493Z", "iopub.status.idle": "2025-03-12T18:00:13.470746Z", "shell.execute_reply": "2025-03-12T18:00:13.470319Z" } }, "outputs": [], "source": [ "def schedule_function(\n", " port: str,\n", " amp_points: np.ndarray,\n", " square_dur: float,\n", " ramp_dur: float,\n", " second_square_dur: float,\n", " reps: int = 1,\n", "):\n", " # Create schedules for uncompensated and compensated pulses\n", " uncompensated_sched = Schedule(\"uncompensated\", repetitions=reps)\n", " compensated_sched = Schedule(\"compensated\", repetitions=reps)\n", "\n", " # Loop through each amplitude set point\n", " for amp in amp_points:\n", " # Create a pulse sequence schedule\n", " pulse_sequence = Schedule(\"pulse_sequence\")\n", "\n", " # Add a square pulse with zero amplitude\n", " pulse_sequence.add(SquarePulse(amp=0, duration=square_dur, port=port))\n", "\n", " # Add a ramp pulse with the current amplitude\n", " pulse_sequence.add(RampPulse(amp=amp, offset=0, duration=ramp_dur, port=port))\n", "\n", " # Add a second square pulse with the current amplitude\n", " pulse_sequence.add(SquarePulse(amp=amp, duration=second_square_dur, port=port))\n", "\n", " # Add the pulse sequence to the uncompensated schedule\n", " uncompensated_sched.add(pulse_sequence)\n", "\n", " # Add the pulse sequence with net-zero protocol to the compensated schedule\n", " compensated_sched.add(\n", " PulseCompensation(\n", " body=pulse_sequence,\n", " max_compensation_amp={port: 0.8},\n", " time_grid=4e-9,\n", " sampling_rate=1e9,\n", " )\n", " )\n", "\n", " return uncompensated_sched, compensated_sched" ] }, { "cell_type": "markdown", "id": "555b0fbb", "metadata": {}, "source": [ "Setting parameters for `schedule_function`" ] }, { "cell_type": "code", "execution_count": 5, "id": "f0391172", "metadata": { "execution": { "iopub.execute_input": "2025-03-12T18:00:13.472846Z", "iopub.status.busy": "2025-03-12T18:00:13.472650Z", "iopub.status.idle": "2025-03-12T18:00:13.475988Z", "shell.execute_reply": "2025-03-12T18:00:13.475535Z" } }, "outputs": [], "source": [ "decay = 17000 # Time constant for the Bias-T distortion in ns.\n", "amp_set_points = np.linspace(0.02, 0.9, 10) # Define an array of amplitude set points\n", "square_duration = 300e-9 # Duration of the first square pulse in ns.\n", "ramp_duration = 400e-9 # Duration of the ramp pulse in ns.\n", "second_square_duration = 200e-9 # Duration of the second square pulse in ns.\n", "repetitions = int(1e6) # repetitions is 1e6 so that we can see it on the scope\n", "port = qubit.ports.gate() # Port to use for the pulse sequence" ] }, { "cell_type": "markdown", "id": "3f05bf85", "metadata": {}, "source": [ "### Running the uncompensated schedule" ] }, { "cell_type": "code", "execution_count": 6, "id": "82a6e102", "metadata": { "execution": { "iopub.execute_input": "2025-03-12T18:00:13.477805Z", "iopub.status.busy": "2025-03-12T18:00:13.477635Z", "iopub.status.idle": "2025-03-12T18:00:13.484170Z", "shell.execute_reply": "2025-03-12T18:00:13.483741Z" } }, "outputs": [], "source": [ "uncompensated_sched, _ = schedule_function(\n", " port,\n", " amp_set_points,\n", " square_duration,\n", " ramp_duration,\n", " second_square_duration,\n", " repetitions,\n", ")" ] }, { "cell_type": "code", "execution_count": 7, "id": "c41a2d6d", "metadata": { "execution": { "iopub.execute_input": "2025-03-12T18:00:13.485774Z", "iopub.status.busy": "2025-03-12T18:00:13.485601Z", "iopub.status.idle": "2025-03-12T18:00:13.516717Z", "shell.execute_reply": "2025-03-12T18:00:13.515958Z" } }, "outputs": [], "source": [ "# Let’s compile the uncompensated schedule.\n", "compiler = SerialCompiler(\"my_compiler\", quantum_device)\n", "compiled_schedule_uncomp = compiler.compile(\n", " uncompensated_sched\n", ") # we are going to use it later on a real bias-T" ] }, { "cell_type": "markdown", "id": "1d983853", "metadata": {}, "source": [ "Plot the waveform" ] }, { "cell_type": "code", "execution_count": 8, "id": "31f6335b", "metadata": { "execution": { "iopub.execute_input": "2025-03-12T18:00:13.521282Z", "iopub.status.busy": "2025-03-12T18:00:13.520501Z", "iopub.status.idle": "2025-03-12T18:00:14.213822Z", "shell.execute_reply": "2025-03-12T18:00:14.213192Z" } }, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x, y = get_axis(compiled_schedule_uncomp)\n", "plot_waveform_and_rectangle(x, y, decay, second_square_duration, amp_set_points)" ] }, { "cell_type": "markdown", "id": "2c3dcc4c", "metadata": {}, "source": [ "The second plot reveals a clear decay, both in the long-term mean value (indicated by the red dashed line) and on a shorter timescale within the highlighted region.\n", "\n", "To verify this Bias-T behavior, we use a real device with a 17 µs decay (matching the simulation parameters).\n", "\n", "We connect the **QCM** output to the Bias-T's RF port and then connect the combined port to an oscilloscope.\n", "Then we run the uncompensated complied schedule `compiled_schedule_uncomp`." ] }, { "cell_type": "code", "execution_count": 9, "id": "d5d81ad8", "metadata": { "execution": { "iopub.execute_input": "2025-03-12T18:00:14.215818Z", "iopub.status.busy": "2025-03-12T18:00:14.215608Z", "iopub.status.idle": "2025-03-12T18:00:14.316644Z", "shell.execute_reply": "2025-03-12T18:00:14.315458Z" } }, "outputs": [], "source": [ "_ = run_schedule(compiled_schedule_uncomp, quantum_device)" ] }, { "cell_type": "markdown", "id": "910f48b0", "metadata": {}, "source": [ "#### Scope output\n", "The output from the oscilloscope is shown below. Note that the effects of the Bias-T on both short and long pulses are clearly visible, closely matching our results from the simulation.\n", "\n", "\n", " \"image2\"\n", "" ] }, { "cell_type": "code", "execution_count": 10, "id": "2d6539f6", "metadata": { "execution": { "iopub.execute_input": "2025-03-12T18:00:14.320869Z", "iopub.status.busy": "2025-03-12T18:00:14.320561Z", "iopub.status.idle": "2025-03-12T18:00:14.330643Z", "shell.execute_reply": "2025-03-12T18:00:14.329796Z" } }, "outputs": [], "source": [ "instrument_coordinator.stop()" ] }, { "cell_type": "markdown", "id": "f8c854e7", "metadata": {}, "source": [ "### Compensating for long-term decay: [`PulseCompensation`](https://quantify-os.org/docs/quantify-scheduler/v0.22/autoapi/quantify_scheduler/operations/index.html#quantify_scheduler.operations.PulseCompensation)\n", "To see the effect of [`PulseCompensation`](https://quantify-os.org/docs/quantify-scheduler/v0.22/autoapi/quantify_scheduler/operations/index.html#quantify_scheduler.operations.PulseCompensation) operation, we compile and run the `compensated_sched` part of the `schedule_function`." ] }, { "cell_type": "code", "execution_count": 11, "id": "cbaf07b9", "metadata": { "execution": { "iopub.execute_input": "2025-03-12T18:00:14.334486Z", "iopub.status.busy": "2025-03-12T18:00:14.334291Z", "iopub.status.idle": "2025-03-12T18:00:14.728556Z", "shell.execute_reply": "2025-03-12T18:00:14.727866Z" } }, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_, compensated_sched = schedule_function(\n", " port,\n", " amp_set_points,\n", " square_duration,\n", " ramp_duration,\n", " second_square_duration,\n", " repetitions,\n", ")\n", "\n", "# Let’s compile the schedule.\n", "compiler = SerialCompiler(\"my_compiler\", quantum_device)\n", "compiled_schedule_net_zero = compiler.compile(\n", " compensated_sched\n", ") # we are going to use it later on a real bias-T\n", "\n", "x, y = get_axis(compiled_schedule_net_zero)\n", "\n", "# Plot the waveform\n", "new_y = plot_waveform_and_rectangle(x, y, decay, second_square_duration, amp_set_points)" ] }, { "cell_type": "markdown", "id": "3234c353", "metadata": {}, "source": [ "To confirm, we run the complied schedule `compiled_schedule_net_zero` with the real Bias-T, and observe the output at the scope." ] }, { "cell_type": "code", "execution_count": 12, "id": "a027927c", "metadata": { "execution": { "iopub.execute_input": "2025-03-12T18:00:14.731103Z", "iopub.status.busy": "2025-03-12T18:00:14.730855Z", "iopub.status.idle": "2025-03-12T18:00:14.783450Z", "shell.execute_reply": "2025-03-12T18:00:14.782606Z" } }, "outputs": [], "source": [ "_ = run_schedule(compiled_schedule_net_zero, quantum_device)" ] }, { "cell_type": "markdown", "id": "f7a050ab", "metadata": {}, "source": [ "#### Scope output\n", "\n", " \"image3\"\n", "\n", "\n", "The output figure above shows that the Net-zero protocol effectively compensates for the DC decay caused by the Bias-T, leaving only the short pulse distortion to be corrected (as seen in the highlighted region)." ] }, { "cell_type": "markdown", "id": "27e9cfc4", "metadata": {}, "source": [ "### Mitigating short-term decay\n", "To perfectly account for the Bias-T, we use the function `bias_tee_correction`. It **pre-distorts** the signal to compensate for short-term decay.\n", " Hence, the resulting in the following waveform (shown in the plot)." ] }, { "cell_type": "code", "execution_count": 13, "id": "bf47cc97", "metadata": { "execution": { "iopub.execute_input": "2025-03-12T18:00:14.786553Z", "iopub.status.busy": "2025-03-12T18:00:14.786133Z", "iopub.status.idle": "2025-03-12T18:00:14.970298Z", "shell.execute_reply": "2025-03-12T18:00:14.968576Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Amplitude ')" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pre_distorded_signal = bias_tee_correction(y, decay)\n", "plt.figure()\n", "plt.title(\"Predistorded net zero signal output by the instrument\")\n", "plt.plot(x, pre_distorded_signal)\n", "plt.axhline(0, c=\"red\", linestyle=\"--\")\n", "plt.xlabel(\"Time (seconds)\")\n", "plt.ylabel(\"Amplitude \")" ] }, { "cell_type": "markdown", "id": "d973571f", "metadata": {}, "source": [ "Finally, we send the pre-distorted waveform through a Bias-T, that is simulated using `bias_tee_distort` function. The resulted signal output is free from any Bias-T defects." ] }, { "cell_type": "code", "execution_count": 14, "id": "04010a37", "metadata": { "execution": { "iopub.execute_input": "2025-03-12T18:00:14.997875Z", "iopub.status.busy": "2025-03-12T18:00:14.994602Z", "iopub.status.idle": "2025-03-12T18:00:15.134208Z", "shell.execute_reply": "2025-03-12T18:00:15.133407Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Amplitude ')" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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99FGrUTqdbt26YfLkyQanMnl5eWHOnDkmF5rPnTsXISEh+P333y3umzG//fYbwsLCMHfuXKNtAgMDMW/ePH0aZ1dauXIlwsLCDD7m4+ODhx56CEeOHEFJSYlzO9aG7OxsADD5za+vry/eeOMNjBw50uz9bt++HVdffbXJ/cbFxbWZEXbFihWIj483+FhAQADmzZuH7du3t/r7V1VVYcSIEbjzzjuN7rtXr1648sorsWPHDpN9sMYdd9zRYhTiYmPGjMHAgQNNTh90tWXLlqFLly4GHzN17v/66y/U1tbi8ccfbzVKqePr64uHHnoIu3fvRllZmd36PH/+fIwZM8bgYzKZDI8++iiKiopaTRXNzs5GeHg4OnXqZHTfkZGReP3119G3b1+r+6dUKpGWloann34aCoXC6v2Y47777kNQUFCr319++eWIiorCgAEDDGYW9Pf3x0033YSMjIxWj/36668ICQnB3XffbfS4wcHBuPfee7FlyxajbV5++WWjWXm9vb3x8MMP4/Dhww65X8bExOCpp54yOnMiMDAQ99xzD3bs2OGw95XS0lIcPHgQDz/8sNHrQCaT4bHHHkNlZSX+/PNPg21+/fVXk1MmzXHLLbcgISHB4M+gQYOwZcsWDBs2zOhr2RBb77/Z2dltjkY+8MADJvdP7ROna5LkFRQUGJ1Cdc899+Df//63Rfvr168fAgMDTbZJTEw0uKbv5ptvxs033wwAqK2tRXFxscHto6Ki7Fr0/Ny5c+jcuXOLaRqGJCcno6qqCsXFxSY/oDlSdHQ0UlJSTLZJSkoC0DDFTjfVyx3opn6WlZWZvEZuv/12i/Z79uxZgx8gL9bWtNJLL73U5OOJiYkG//7du3fXf+mg0WhQUFBgcN1jeHi4Qwr5mlNWIikpyaxpea5iKkgFGvpv6NyfPXsWgYGBiIyMNLm97jVz7tw5o1+QWMqc6wVoeB0OHjxY//vw8HBUVlZCrVbD29v4x4z58+fb3Md77rnH5n2YIzk52eDvZTIZ4uLijD4OAPHx8cjLy2v1+7NnzyIhIcHgFOvmUlJSUFZWhrKyMoN/W0v+Tva8X8pkMvz6668AGtaNFhUVoa6urlW7wMBAlJeXo6ysDB06dLDb8XV075VtvW907NgRwcHBRt9bu3Xr1moaqKVefPFFgzXuhBAoLi7Grl278M4776CsrAyffPKJWfu09f4bHh7e5pc/3bt3NziNVXfdGRMfH2/yNU6uxb8MSV54eLjRm6k1BUfbCpSAhm9flUqlwcc+++wzPP/880aTnOjo1h/Yg1Kp1K/hMkXXRqlUuizIM/f8AjB6jl1Fl3ThySefxBNPPIHQ0NAW39j6+fnpk+1Ywty/n6l1iEDb59bU3/+vv/7C/PnzsWfPHpML9HUfKO3JnPMVHByMgoICux/bXtr6IG/s3CuVSgQFBRlNvqGjSzxTVFRkY0+bWHK9NDd8+HCoVCo89dRTmDt3bqsRsMDAQLt92Ldk/ZgtAgICjD7m7+/f5uO1tbWtfq9UKuHv79/m31Y346S4uNhgkGft38kecnNz8X//939Yv349qqqqTLZVKpUOCfJ0z6umpqbNcxkSEmL0NWKPa+mSSy4xWSdvzpw5GDJkCO666y489dRT6N69u1n7teX+O2rUKPznP//BpZdeii5durS4XnQJhIzdn3r16oXz588bPd7ChQvxyiuvmPUcyPkY5JHk+fv745prrnF1NwA0ZDm87bbbcPPNN+O5555Dhw4dDH6ANfSNGrm/Tp064d///jfmzZtnNHFOcHAw7rnnHrz88svw9fV1cg+tU1RUhCuuuAJdu3bF8uXL9Zk5L/bZZ5+x1p8DmJqNcDFj08idqU+fPliyZAmeeeYZvPbaawbbRERE4PHHH8eCBQss/tKjuYuTurQ3e/bsaVd/2+aEEJg+fTpOnz6N9PR0dOnSxeA97cCBA3j22Wcd3h9zp1kaO4/OupZuvfVW3H333fj111/NCvJsvf+++uqrmDJlCsaPH29w/3K5HKNGjcK7776Lnj17tnjsxx9/NBnkDRkypM3+k+swyCNyonfffRfDhw/HmjVrTH6wWbJkiRN7RfZ06623YvLkyTh69GirNTAqlQr//PMPlixZgqioKDz22GMu6qVl1qxZA7VajS1btpj8Jn7Xrl0M8hzA1GyE5vz8/HDJJZc4oUdtW7BgAebMmYNjx461GkGqqanBzp078eSTT6JLly6YNm2ai3rpej179sTSpUvbbBcSEmJ0Pa2rHDx4EDt37sSWLVtMll1wVnD6/vvvIzY21mQbmUyGESNGOKU/xigUCkRGRpo988DW+29SUhL27NmD48ePIysrq0WJJl320ddffx3Tp0/H/v37WwSQgwYNsuCZkbthkEfkRKdPn8a4cePa/ObamoQwpgQHB6OysrLNdrr6fqGhoS1+HxISYtb2pvodGBiI6urqNvdhDlP9BBpqyplal+TofoaFhRldJ3PDDTfg9OnTWLdundlBXnBwcJtToQA4LLHB6dOnkZqa2uZUK3tftzrmPK+KiopW1wPQMM2upqamzf1bk7DEnte0McHBwZDJZG4zG8ESnTp1Mjrt+8Ybb8SePXuwbt26VkGePc+rPe5djhIcHIyAgACX/m1tOde6dP9tjebYem4DAgJM9lE3HXX48OFmrd91B2q1us0p3Dr2uP96e3ujd+/eRqekJicn4/LLL8fZs2eNJoii9ofZNYmcSC6Xt1mo+8KFC0aLr/r5+Rkt+mxKUlISsrKy2jz2mTNnEBgY2GpxflJSEpRKZZvFrk1lBE1KSkJOTo5dAhHdwvmLkx3oErJkZWWZ3L6tfpaWlpoVVF1s9+7d+Oabb9psl5CQgPz8fLP3m5yc3OZzAmAwg589mHPdAg21qgzRfZNvzbULNBRCb8u5c+cMJr/QXXemGBptMoct14q5kpOTUVJS0uYH8fPnzyMxMdGsepaOtnnzZmzbtq3NdsZeB/a8V+j21db1a89sxuZKTk5GdnZ2m89z//796Ny5c5tfVljDlnOtG/Fp69wauy+YKykpSZ+52BDd695UG6Dhy5zRo0djzZo1NvXHVhUVFSgpKTE7mLLl/ltVVYXFixcbTIjTnG7KsCXvS+T+GOQROVFqaip27Nhh9IZdXV2NuXPnGr0hJycn49SpUxa/2Y8cORKlpaVYtWqV0TbV1dV47733MHr06FYjjcOGDYNCocCyZcuMbr927Vp88cUXRh8fPnw4ioqK8NVXX1nU94up1Wq8/fbb6NWrFyIiIlo81qNHD0RGRuLNN980+qFlx44dePPNN43uf8iQIfD29saKFSss7ttPP/2Ee++91+TCeAA4efKkRVOvRo0ahfXr1+PkyZMGHxdC4IsvvsCPP/5oUX/NlZqaihMnThhdm6HVarF48WLs2bPH4OO6D2GHDh2y6vgfffSRyQ+Kv/32G/bu3Wsw3f+ll16KH3/80WiQXFhYiNtuu82qftlyrZhr6NChUCgUeOedd0y2e//991FYWIjo6GiH9cVcX3/9NebPn28ycBBCGH0d2OteATSs0yopKcFnn31mtB/Lly/XZ4l0plGjRqGwsBBr16412kYIgbfffhteXl4OmfZoy7nWFWc3de62bNmC9957z+r+AcCIESOwevVqo6PtHTp0QO/evfHuu++aDIZ+/fVX7Nixo80pnY72xhtvwMfHB0OHDjWrvS333wsXLuCpp57Cxo0bTR5D997iblOCyTacrknkRI8++iguvfRSjB49GldccQXCwsIghMCFCxdw5swZrFu3DoMGDWqRjry5m2++GYsWLcL48eMxefJkXH755UbbNjds2DDMnDkTd9xxB3788Uf0798f4eHhkMlkqKurQ05ODr7++mujb/ZxcXF44oknsGjRIuzcuROXXHIJOnbsiJqaGuTn52Pbtm04deoU7rrrLqMfRkeMGIEbb7wRM2bMwDfffIO0tDSMHDkS48aNa9GusrLS4IdmtVqN8+fPY/369Th69Cg2btzYKhgNCAjAkiVLMHfuXBw9ehSXXXYZIiMjUV9fj4KCAvzxxx/4+++/8dBDD+H111832M+kpCTMnz8fTz75JH777TcMHjwYAwYMwJQpU9o8z1OmTMELL7yAUaNG6etnNVdXV4eDBw/i22+/tah0x4MPPogPPvgAAwYMwMyZM5GcnIzAwEBUVlYiPz8f//vf/5Cbm4vJkydj9+7dZu/XXDNnzsQLL7yA4cOH45ZbbkFUVBRkMhkqKiqQl5eHDRs2oK6uDrNmzTJYp2nQoEHo06cPbrzxRsyZM8fs86lzxRVX4Morr0T//v0xevRoREZGIjAwEEqlEsePH8cXX3yBUaNGGVzbNX/+fHzwwQfo27cvZs2ahc6dO0OhUKCwsBCnTp3C999/j1GjRlkVHNlyrZgrPj4eTzzxBBYsWIBt27ZhyJAhiIiIgJeXFzQaDZRKJf766y9s3LgRTz31lMksj85y44034uOPP8bll1+O0aNH60uL6NTU1ODPP//E3r17DWbmM/deYY7Bgwfjtttuw+zZs/HDDz+gX79+6NChAyorK5GXl4dNmzahqqoKt912m80jTpYaMmSIPhHX119/jbS0NISFhUEmk0GtVqO0tBTbtm3Djh078MEHH9iUoMYYW851z549ceWVV+rPb3JyMnx9fVFTU4OCggL8/vvv2LdvHx588EG88cYbVvdx0aJF+Oqrr9C9e3fMmDEDnTt3xvTp0xEXFwegYZ3dsmXLcOWVV2LAgAGYNGkSoqKi4O3tDSEEKisrcezYMaxduxajR4926Jq877//HseOHWv1e937/B9//IEtW7bg2WefNTsTsS3334SEBFxyySW4++678dNPP6FHjx4t1txptVoUFhbio48+wvDhw9G5c2fbTgC5F+fVXSdyvo8++kiMGDHC4u26dOkiNm3a1Or3zz77rJg5c2ab23/44Ydi1KhRBh/bsmWLGDlypOjYsaMAIACIDh06iBEjRogVK1aI+vp6MXPmTPHcc88Z3P7XX38Vo0aNEh06dBB33HGH2c9JrVaLd999VwwbNkx06tRJf2xfX1/RrVs3MX36dHHy5Emj22u1WrF27VoxevRoERsbKwAIPz8/0aVLF3HfffeJc+fOiZ9++kkkJycLjUZjcB/19fXi7bffFkOGDBEdO3YUEyZMaPF4enq6vl8X/8jlcpGSkiImT54s9u7da/K5btu2TVx++eWic+fOQiaTCV9fX9G5c2dx++23i0OHDonDhw+LyMhIUVJSYvS5fv7552L48OEiOjpapKamtnF2m6xfv14MGTJEBAUFtXoOunP9+uuvC7Va3WrbsWPHig8++MDgfpVKpXjsscdEv379RHBwsAAgAgICRNeuXcX9998vsrKyRHp6uoiLi2u1bVt/Fx1T5+X48ePihhtuEPHx8UImkwkAIigoSPTu3Vs8+eSToqSkRLz//vti7NixBvd95swZceONN4qYmBjRtWtXk/1oLiUlRWzatEn8888/4tZbbxWdO3cWCoVC/7oZNGiQePnll0Vtba3RfRQXF4sHHnhA9OnTRwQEBAgvLy+RmpoqrrnmGrF8+XKhUqlEYmKiePrpp83ul05b14o9zr2h1x4A4eXlJaKiosSoUaPEypUrhVartajvH330kcH7VGlpqYiMjBQZGRlt7kP397nYqlWrRJ8+fYSfn1+r14G/v79IS0sTn3zyidH9tnWv+Pjjj0WXLl3MeJZCaDQa8f7774tLLrlEf+8LDAwUPXv2FAsWLBDFxcVG79m6c3Hw4EGj+zd1vxZCiE2bNhntq1qtbtU33f0uNjZWTJw4UXz//fcGt23rPnbxczD292zrXLe170ceeUSkpqYKHx8f/X0uMTFRzJkzRxw5ckQcPHhQREZGitLS0lbbjxw5Unz44YdtHicnJ0fMmTNH9OzZUwQEBBi8dvbv3y+uvfZakZKSIuRyeYv31759+4qXXnpJKJVKg/u/7LLLxKJFi8x+3hcrLS0VISEhRt+/AIjIyEgxcuRI8dVXXxl8rRp7PQph2/03JydHzJgxQ0RFRRnsV0xMjJgxY4bIzs62+vmb8vHHH1t0TZH9yIRw0Ep9IiILLVq0CB9++GGba6jIMJ4/6yUlJWHWrFl46aWXXN0VIiIim3FNHhGRm8vMzNRnFDVFq9WaVUzek0yZMsXkWlQdjUbDc0dERJLBII+IyM3NmjULTz75ZJvtzp07xzUVFyksLMQvv/xisk1VVRUKCwt57oiISDKYeIWIyM1NnDgRS5YsQW1tLXr16gWFQtHicbVajczMTKxZswZLlixxUS/d06RJk/D8888jJCQEqamp8PZu+bZXXV2NDRs2wNvbG1dccYWLeklERGRfDPKIyG0kJCToa91Rk2eeeQbV1dX473//i1WrVrVKEy6Xy5GYmIinn34aDz30kIt66Z4ef/xxVFdX44svvkB2djY0Gk2Lx4OCgtC7d2/8+OOPTB9ORESSwcQrREREREREEsI1eURERERERBLC6ZpuTqvVIi8vD8HBwQ4phEpERERERO2DEAIVFRWIjY2Fl5fx8ToGeW4uLy8PCQkJru4GERERERG5iezsbJNryRnkubng4GAADX/IkJAQF/eGiIiIiIhcpby8HAkJCfoYwRgGeW5ON0UzJCSEQR4REREREbW5jIuJV4iIiIiIiCSEQR4REREREZGEMMgjIiIiIiKSEAZ5REREREREEsIgj4iIiIiISEIY5BEREREREUkIgzwiIiIiIiIJYZBHREREREQkIQzyiIiIiIiIJIRBHhERERERkYQwyCMiIiIiIpIQBnlEREREREQSwiCPiIiIiIhIQhjkERERERERSQiDPCIiIiIiIglhkEdERERERCQhDPKIiIiIiIgkxNvVHSAiIiIiIs/08u//YMvpPIu2CfdX4O2Jw5AQGuigXrV/DPKIiIiIiMjpKlT1eGb7fqu2HZsYjYeH9rJzj6SDQR4RERERETldTkUVACDY1wcfTx5h1jbL/z6K37IKoNZqHdm1do9BHhEREREROV1OeTUAIDE0ENN6Jpm1zQ8nsgEUOK5TEsHEK0RERERE5HQ55Q0jefEhXFtnbwzyiIiIiIjI6XIqGkby4oIDXNwT6WGQR0RERERETpfbuCYvnkGe3THIIyIiIiIip9OtyeN0TftjkEdERERERE6ny64ZH8KRPHtjkEdERERERE6nG8mLC+ZInr0xyCMiIiIiIqeqqVejpEYFgGvyHIFBHhEREREROVVeY2bNAB9vhPn5urg30sMgj4iIiIiInEpXPiE+OAAymczFvZEeBnlERERERORULITuWAzyiIiIiIjIqVgI3bEY5BERERERkVPlNpuuSfbHII+IiIiIiJyK0zUdi0EeERERERE5lT7xCguhOwSDPCIiIiIicirdSB7X5DkGgzwiIiIiInKaeo0W+ZU1AID4YE7XdAQGeURERERE5DT5lTUQAHy8vNAp0M/V3ZEkBnlEREREROQ0ORVNUzW9WAjdIRjkERERERGR0+SUs0aeozHIIyIiIiIip8mt0JVPYJDnKAzyiIiIiIjIaZrKJzDpiqN4u7oDRERERETtjVqrxX2bduHkhXKLtksKDcL7V18KX7ncQT1zf/pC6Jyu6TAM8oiIiIiILPRnThH+s/+EVdvO7peKMYnRdu5R+9G0Jo8jeY7CII+IiIiIyEJnyioAAP2iOmDh8L5mbfP41j3ILq+CWqt1ZNfcXg7X5DkcgzwiIiIiIgudUzYEKoOiO2J672Sztnl550FkN05V9FRaIZBXwULojsbEK0REREREFjpbVgkASAxloGKJoqpa1Gu18JLJEB3k7+ruSBaDPCIiIiIiC51TNgR5SWFBLu5J+6KbqhkV6AcfOUMRR+GZJSIiIiKykC7ISwxlkGcJXdIVlk9wLAZ5REREREQW0AqBrMa1dZyuaZlcXY08lk9wKAZ5REREREQWKKisQZ2mYV0ZywBYRl8jjyN5DuUR2TXLysrwyiuvYNOmTSguLoYQAgAQHh6OMWPGYNGiRYiKijK47bx58/Ddd98Z3XdFRQUuXLgAhUKB9PR0vPnmm/D3N76ItFu3bvjtt99se0JERERE5DK6qZpxwQFcV2ahHI7kOYXkgzyNRoPx48fj2muvxfbt2xEeHg6ZTAYAUCqVWLVqFUaMGIGDBw8iIKD1xfbee+/hvffeM7r/6Oho+Pr66vf31ltvYfbs2Q55LkRERETkerryCZyqaTndSF4cgzyHkvxXD9999x2SkpKQnp6OiIgIfYAHAKGhoXj44YcxadIkvP/++xbvu6KiAgEBAS32SURERETSdpZJV6ymX5PH6ZoOJfkgLyMjA+PGjTPZZsKECcjIyLB43+vWrcPEiROt7RoRERERtUP68gkM8iwihOB0TSeR/HTNnJwc9O3b12Sb2NhYZGVlWbTf3NxcLFq0CJs2bbKle0RERETUzjRN12SQZ4my2jpU16sBAHEhDPIcSfIjeRqNBnK53GQbb29vqNVqs/e5b98+jB07Fq+++iq6du3a4rHt27fjuuuuQ9euXREVFYXo6GjExcVh6NCheOedd9o8jkqlQnl5eYsfIiIiInIfTTXyOOXQErpRvAh/Bfy8JT/W5FKSD/LsbfPmzbjpppvw+eef44YbbmjxWPfu3ZGVlYX7778fu3fvRn5+PvLz85GVlYUvvvgCmzdvxmuvvWZy/4sXL0ZoaKj+JyEhwZFPh4iIiIgsIIRoCvLCOJJnidwKXfkEjuI5mscFecePH0dKSgpOnDhh8bZnzpzBvHnz8PPPP2Po0KGtHp83bx5++eUXTJw4ER06dNAnZJHL5ejSpQtWrlxpMlMnACxcuBBKpVL/k52dbXE/iYiIiMgxSmvrUFnXMDOrM5OHWCSnXLcej+fN0TxunLR79+44ffq0Vds+9dRTeOmll5CUlGTV9h07dkRdXR1qa2vh5+dnsI1CoYBCobBq/0RERETkWGfLGkbxIgP94O/jcR+lbdJUCJ0jeY4m+ZE8c9bbqdVqeLcxL1itVuOXX37BTTfdZFN//Pz8UFtba9M+iIiIiMg1zrF8gtV0a/LiOJLncJIP8uLj45Gfn2+yTV5eHjp37myyzeHDh9GjRw/4+PgYbfPEE09ApVKZ3I9KpTI6ikdERERE7o3lE6ynH8lj+QSHk3yQl5aWhq1bt5pss3XrVqSlpZlsk5ubi7i4OJNt/vjjD5Nr/UpLS+Ht7c0gj4iIiKidaiqfwNEoS7EQuvNIPsibMmUKcnJykJ6ejpKSEggh9I+Vl5dj+fLl2LBhA+6++26T+6msrERgoOkLcurUqXjyySeRl5fX6rGCggLcc889uPPOO617IkRERETkcpyuaT19IXSuyXM4yQd5crkcP//8M2pqajBmzBjExsYiOjoa0dHRGDp0KA4dOoTff/9dH8Bt374dqamprerT+fj4IDo62uSxHn74YYwZMwaXXXYZYmJi9MeJiYnBuHHjMHjwYCxcuNBhz5WIiIiIHIuF0K1TWVePsto6AEAcp2s6nEekBAoNDcXSpUuxdOnSNtuOHTsWmZmZrX4/depUTJ061eS2crkcCxYswIIFC6zuKxERERG5LxZCt45uqmawrw9CFL4u7o30SX4kj4iIiIjIHirr6lFS05BkjyN5lskt51RNZ/KIkTwiIiIiMkwrBOZv2Y3DRWUWbRcfEoB3rrwEgb7GM49LjW4UL1Thg1A/jkZZIqdCl1mTI6DOwCCPiIiIyIMdyL+At/8+atW2N/ZMwtVdE+zcI/elW4+XFMZRPEvllOtq5HEkzxkY5BERERF5sJMXGpLN9eoYhmdG9jVrm+d+3Y/M0grUa7WO7JrbYWZN6+lH8jhd0ykY5BERERF5sMzShiBvcEwEZvRJMWub5XuOIrO0wpHdcksM8qynr5HH6ZpOwcQrRERERB7sVGOwlhoe4uKeuL9zZSyEbq0cJl5xKgZ5RERERB4s80JDkNelQ7CLe+L+zpVzJM9aTdM1GSA7A4M8IiIiIg92qqxxJI9BXpvOljHIs4ZKrUFhVS0AJl5xFgZ5RERERB6qul6NvMa1UhzJM02l1uB8ZQ0AIIlBnkV015hC7oUIf4WLe+MZGOQREREReajTjevxQhU+COeHb5OyyxumG/p7y9ExgOfKEvqkKyGBkMlkLu6NZ2CQR0REROShmidd4Ydv05pn1uS5skxTIXRO1XQWBnlEREREHkpXPoFTNdumK4TOzJqWayqEznPnLAzyiIiIiDyUfiSvA8sntIU18qzHQujOxyCPiIiIyEOxfIL5mFnTes3X5JFzMMgjIiIi8lBNI3kM8trSNJLHQMVS+kLoXJPnNAzyiIiIiDxQvUarD1w4ktc23Zq8pDCO5FkqpzEzKWvkOQ+DPCIiIiIPdE5ZCY0Q8PeWI4Yfvk3SaLX6dWWcrmkZjVarry/I6ZrOwyCPiIiIyAPpMmumdAiGF0sCmJRXUQO1VsDbS4aYIH9Xd6ddKaiqhUYIyGUyRAX6ubo7HoNBHhEREZEH4no88+mmtSaEBELuxY/PltBN1YwNDuC5cyKeaSIiIiIP1JRZk+UT2sLyCdbLqdDVyOOUYGdikEdERETkgfQjeeEcyWvLWWbWtJpuJI818pyLQR4RERGRB9KtyesSxiCvLbrMmhzJs5y+Rl4wA2RnYpBHRERE5GG0QuC0fiSP0zXbopuumcQgz2L6GnkcyXMqBnlEREREHia3vBoqjRbeXjJ05hTENnFNnvV0pSe4Js+5GOQREREReZhTjVM1k0KD4M2MhyYJIZCln67JgNhS+pE8Ttd0Kr6qiYiIiDyMLulKF5ZPaFNRdS1q1BrIACQwyLOIEAK5FUy84greru4AERERkb0JIbBw217sO3/Bou1igvzx9hXDEOrn66CeuYdMrsczmy7pSkxwAHzlchf3pn0pqVFBpdECaKiTR87DII+IiIgk52ixEq/+cciqbSd3S8C0nkn27ZCb4Uie+c6WsXyCtXTlE6IC/RggOxmDPCIiIpKcI8VlAIDuESF4ZmQ/s7ZZvDMDR4rLUN848iBl+vIJDPLaxMya1msqhM4A2dkY5BEREZHkHCkqAwBcGheJWWldzNpm1T+Z+uBQyoQQTYXQO3C6ZluYWdN6LITuOky8QkRERJJztFgJAOjZMdTFPXE/xdUqlKvqAQDJYQxc2nKOmTWtxkLorsMgj4iIiCTnaEkZAKBnxzCX9sMd6conxAcHwN+Hk7rawpE867EQuuswyCMiIiJJ0Wi1OF7SEMj04kheK5lMumIRBnnWYyF012GQR0RERJJyTlmFWrUGCrkXkjgdsZVTLJ9gtrJaFZSNU1s5XdNyLITuOgzyiIiISFKaMmuGQu7FjzoXy7zAzJrm0q3Hi/BXINDXx8W9aX/0a/I4XdPpeOcjIiIiSWHSFdNOlTGzprn05RM4ImyxclUdKuoaRkE5XdP5GOQRERGRpBxtHMlj0hXDMi9wTZ65mjJrMsizlG6qZpifL0dBXYBBHhEREUmKbiSvF4O8VspVdSiqrgXAIM8cTUlXuKbMUvoaeRzFcwkGeURERCQZQohmI3mcrnkxXdKVjgEKhPr5urg37o+ZNa3XtB6PAbIrMMgjIiIiyThfWQOlqh5eMhm6MntkK/rMmlyPZxYWQrdejr4QOkfyXIFBHhEREUmGbhSvS4dgKLzlru2MGzrFGnkWOVvGkTxr6aZrMumKazDIIyIiIslgZk3TdOUTUhnktam6Xq1fv8ggz3I5nK7pUgzyiIiISDKYdMW0ppE8TtdsS1bjerxgXx904PpFi+kTr7BGnkswyCMiIiLJYNIV0zJ1a/LCOZLXlubr8WQymYt70/7oE68EcyTPFRjkERERkWQcYY08o2rVav3oCtfktY2ZNa1XU69GSY0KANfkuQqDPCIiIpKE0hoVCqoa1lD1iOBI3sXOlFVCoGH6YacAP1d3x+2xELr1dKN4AT7eCONUV5dgkEdERESSoFuPFx8cgGCFj4t7436aZ9bk9MO2sRC69ZoXQue15hoM8oiIiEgSjnKqpkn6zJpcj2cWlk+wHguhux6DPCIiIpKEoyWNmTU7caqmIayRZxmO5FmPhdBdT7JBXllZGRYsWIC0tDTExMQgOjoa0dHR6NWrF+bNm4eCggKT299+++0IDw/Xb2foZ+bMmS22UavV+OCDDzBkyBDExcXp26WkpOC6667DgQMHHPiMiYiIPJu+Rl5EmGs74qZ0mTW7hLF8QlvqNVrkVdYAAJLCOJJnKRZCdz1vV3fAETQaDcaPH49rr70W27dvR3h4uH4+sFKpxKpVqzBixAgcPHgQAQGGLz6lUolvv/0WY8eONfu4jz32GLKzs/HFF18gJSUFXl4NMXRtbS3+97//YerUqfjuu+/Qv39/W58iERERXeRIURkAlk8w5hTLJ5gtp7wKWiGgkHshMtDf1d1pd1gI3fUkGeR99913SEpKQnp6eqvHQkND8fDDD+PUqVN4//33MX/+fLsc8/z58/j+++9x9OhR+Pu3vBn4+flh8uTJqK+vR3p6OtatW2eXYxIRkecSQmDRbwewO6/You2iAv2w7PKh6OCvcFDPXKO6Xq2fXsc1ea2ptVqcKeN0TXPprqXOoUHwYuIQizWtyeNInqtIMsjLyMjAuHHjTLaZMGECvv/+e7sd89ixYxg8eHCrAK+58ePH47HHHrPbMYmIyHOdvFCOF3b8Y9W2lyfHYmZaFzv3yLWOlyghAET4K9ApkOUBLpatrIJa2zAyxdGVtjUvhE6Wa8quyfPnKpIM8nJyctC3b1+TbWJjY5GVlWXXY8bExJhsExoaigsXLtjtmERE5Ln25ZcAaKgHt3BEmlnbvL7rMA4WlqJeq3Vk11xCtx6vF0fxDNKtx0sOC+bIlBlYCN169Rot8hvXM3JNnutIMsjTaDSQy+Um23h7e0OtVpts89133+GVV15BZmYmqqqqIJPJ4OPjg8TERNx///24+eab9Wv9zDmmOVQqFVQqlf7f5eXlNu+TiIikZ39+w5eG45KicVvfVLO2+e+RszhYWOrIbrlMU/kErscz5FQpyydY4iyDPKudr6yGAODj5cVRdReSZJBnD7169cLhw4exaNEi9OnTByEhDZmo1Go1jhw5gnvuuQcAMGPGDLsed/HixXj++eftuk8iIpIeXZA3ICrCxT1xD0d0mTUZ5BmUyfIJFtFN10xikGexnPKG9XhxwQEcNXYhyZZQaO748eNISUnBiRMnzN7mlVdewbp16zB8+HB9gAc0jAD27dsXK1aswLvvvmtyHwMGDMDnn39uUV8XLlwIpVKp/8nOzrZoeyIikj4hhH665oDocBf3xj2wELpp+syaHVg+wRyskWc9Jl1xDx4xkte9e3ecPn3arvvs2bMnTp06ZbLN/v37Ld6vQqGAQiGtjGdERGRfOeXVKKlRQS6ToU9kmKu743L1Gi1OXmiYjsiRPMNYCN18WiGQXa5LvMKRPEvlVLBGnjuQ5EieOevt1Go1vL2tj3EDAgJQXV1t0TGJiIjsYX9Bwyher05h8LPhvUwqTpWWQ60VCPTxRgIzR7YihGhWI48jeW3Jr6xBnUYLuUyGOI5GWUw3XZNZXF1LkkFefHw88vPzTbbJy8tD586djT7+yCOPmNy+pqamRbkEc45ZXl6O8HBOqyEiIts0rcfjewrQlFmzZ8dQfUI0apJfWYPqejW8ZDJOPzSDbqpmXHAAvL0k+VHZoXQjefEcyXMpSV65aWlp2Lp1q8k2W7duRVqa8ZTT33zzjcnMlidOnEBKSor+3z169MCePXtajO5ZekwiIiJz7Od6vBaOcD2eSbqkK4mhgfC1QyZwqWP5BNvkciTPLUgyyJsyZQpycnKQnp6OkpISCCH0j5WXl2P58uXYsGED7r77bqP7mDp1Kh555BGUlrZMNS2EwJkzZ/DII4+02D46OhrXX389Zs6ciczMTGib1SBSqVRYv349Hn30USxatMh+T5SIiDySfiQvmpk1gZYjedSarnwC1+OZ52wZk67Ygmvy3IMkgzy5XI6ff/4ZNTU1GDNmDGJjYxEdHY3o6GgMHToUhw4dwu+//47AwIYX7/bt25Gamtpi5G7JkiWIjo7G4MGD9dtGR0cjLi4OU6dOxcyZM3Hbbbe1OO5rr72Gq666CjNmzEB8fLx+m549e+KDDz7At99+iwEDBjj1XBARkbSUVNciqzEpRH9O1wTAIK8tmReYWdMS+vIJYRzJs5RWiKbsmsEMkl1Jsqu1Q0NDsXTpUixdurTNtmPHjkVmZmaL3wUEBOCVV17BK6+8YvYx5XI57r77bpMjhERERLY4UNAwitelQzBC/Xxd3BvX0wqBYyW6IC/MtZ1xU8ysaRlO17ReYVUN1FoBL5kM0UH+bW9ADiPJkTwiIiKpapqqyVE8AMhWVqG6Xg0fLy8GMUZkNk7XTA3n+TGHbiSPQZ7ldKN40UH+8JEzzHAlnn0iIqJ2RF8EPYrr8YCmpCvdIkKYCdGIppE8TtdsixCChdBtoCufwPV4rse7IRERUTvCkbyWuB7PtAs1KpTW1gEAUrjGrE0XalSoqm+oe9yZQZ7FWD7BfTDIIyIiaieq6upxvHH9GYO8Bkd15RMiwlzaD3elG8WLCfJHoK+Pi3vj/s42juJFBfrBz1uyqSschoXQ3QeDPCIionbiYGEpBBrWu0QH8ZtygCN5bcm8wPIJluB6PNs0Zdbk/cnVGOQRERG1E/qpmiydAKBh/ZRuTV6vTmEu7Yu70o3ksXyCeXTr8Vg+wTo55ayR5y4Y5BEREbUT+3VJV1gEHQBQWFWL0to6yAB0C2cQY0gmC6FbhOUTbJNTwema7oJBHhERUTuxv4BJV5rTrcdLDguGvw/XTxmiH8lj+QSzNE3XZJBiKSGEfiSP0zVdj0EeERFRO1Cv0SKjsBQAMJAjeQCAoyVcj9cWlk+wDEfyrFdaW4catQYAEBfCIM/VGOQRERG1A0eLy1Cn0SJU4YNkrhcCwKQrbamqq8f5yhoAQCqna5qFiVesp0u60jFAwcykboBBHhERUTugS7rSPyocMpnMxb1xD/ryCR3DXNoPd3W6rGFUqoOfLzr4K1zcG/dXoarHhRoVAE7XtAaTrrgXBnlERETtwD4mXWnlSONIXi+O5BmkK5+QyqQ0ZtFN1Qzz80WIwtfFvWl/9DXyghkguwOOpRIRUbvw4o5/sCu3yKJtIgP88PrlQxAugVEMffkEJl0BAChr65DXOD2MI3mG6dfjhXGqpjn05RM4VdMqORWNSVe4Hs8tMMgjIiK3d7xEied+3W/VtuOSonFb31Q798i5tELggD6zJkfyAOBYY9KVmCB/hPpx1MUQXfkEZtY0DzNr2qapEDrPnztgkEdERG5vR1YBACAtsgPmD+1l1jZv/X0E/xSUok6jdWTXnOJ0aQUq6uqhkHuhRwSnJgJcj2eOpsyaDPLMwcyatuGaPPfCII+IiNyeLsi7tmsC5vTvatY23x3Pwj8FpY7sltPopmqmRXaAj5zL6QFm1jRH5oXGGnksn2AWBnm2YSF098J3CiIicns7shuCvFGdo1zcE9fYz6QrrRzVJ10Jc21H3FSdRoOsxpEVjuSZh9M1baMvhM41eW6BQR4REbm13PIqnCmrhJdMhkvjO7m6Oy6xv4BJVy52RD9dkyN5hpwtq4RWCAT4eCM6yN/V3WkXznIkz2qVdfVQquoBcE2eu2CQR0REbu337EIADfXhPDWtuW4kbyBH8gAAtWo1zjTWgGOQZ1jz9Xisq9i2WrUa+Y2F45PCGORZSpd0JdjXB8EKHxf3hgAGeURE5OZ0UzVHJkS6uCeucb6iGgVVtfCSyZAW2cHV3XELJ0rKoRUCYX6+iArkKJUhmaW69XicqmmO7MYabwE+3oiQQMkVZ+NUTffDII+IiNyaLumKx67Ha5yq2SMiFAE+zJcGtEy6wlEqw041lk/gejzznCvTTdUM5DVlBRZCdz8M8oiIyG2V1aqQUdiQIXNUgmcGefvO65KucD2ejq58ApOuGMfMmpZhZk3b6GvkcSTPbTDIIyIit7UzuxACQNfwEER5aPIIJl1p7QjLJ7SJNfIsw8yatsmpYI08d8Mgj4iI3JYu6YqnjuIBzconRDHpig4LoZum0WpxuoxBniWYWdM2nK7pfhjkERGR29Ktx/PUpCtltSp9Fsn+HMkDAKi1Wpy40LDerGcER/IMya2oRp1GCx8vLyRwZMosnK5pG91IHqdrug8GeURE5JZq1Wr8fb4YgOcmXTmQ3zBVMzE0EOHM+AcAOFNWiTqNFv7eciQy1b1BuqmaSWFB8PbiRz1z6IK8JAZ5VtGP5IXwSwV3wVc+ERG5pd25xajTaBEd5O+xU86a1uNxqqaObqpm94hQeDELokFNSVc883VjKbVWqw9SuCbPciq1BkXVtQC4Js+dMMgjIiK3pKuPNyohymNTmu9vHMkbEMWpmjpHisoAMLOmKafKWD7BEnkV1dAIAR8vL8QwSLFYXmNmTYXcizUG3QiDPCIicku6pCueuh4PaEq6MjCGI3k6R5lZs036kbxwlk8why6zZkJIIEeHrZBT0TRV01O/kHNHDPKIiMjtaLRa/JHTmFnTQ9fj1dSr9QENR/KaHC1hkNcWlk+wTFPSFU7VtEZOeWPSFY6CuhUGeURE5HYOFpaiXFWPEIUP+kZ2cHV3XOJQURk0QqBTgB9i+eEJACCEwDH9SF6YazvjpoQQyCxtmK7JNXnmOVvGzJq2yK1g0hV3xCCPiIjcjq50wvD4SMg9NDvgvvON9fGiwzkFqlFuRTUq6uohl8mQGs4AxpCi6lpU1qkhA5AcxnNkDo7k2YaF0N2TZ75zEhGRW2MRdGB/QVOQRw10SVe6hofAVy53bWfclG49XkJIIBTePEfm0K3JS2JJDquwfIJ7YpBHRERuRQihz6zp2UlXdJk1mXRFh+vx2sb1eJZjIXTb6AuhcyTPrTDIIyIit3KqtAL5lTXwlXthaFxHV3fHJdRaLQ4WlgLgSF5zuhp5XI9nnH49HjNrmkUIgazGxCEM8qyTy5E8t8Qgj4iI3IpuPd6QmI7w8/Z2cW9c43iJErVqDYJ8vflhvRmWT2gbR/IsU1hVi1q1BjIA8SEcibKUWqvF+coaAFyT524Y5BERkVvRF0H30NIJQNNUzX6R4azb1QyDvLYxs6ZldFM1Y4MDuM7TCgWVNdAIAblMhqhAP1d3h5rxzK9IiYjaCSEEXtl5EH/lFlu0XWSgH5aOH4xwf4WDeuY4+qQrDPJYBL2Z4upaFFXXAgB6RDDIM4YjeZY5y/V4NtEVQo8NDvDYTMjuikEeEZEbyygsxTPb91u17aiEKNzeL9XOPXKs/MpqnLxQDhmA4fGdXN0dl9mf35hZk0XQ9XSjeImhgQj09XFxb9yTsrYOxdUqAECXDpzmaw59Zk0GeVbRF0LnVFe3wyCPiMiNrTuRDQC4JK4T7uzf1axtlu85in8KSlGn0Tqyaw6hG8VLi+yAML/2NwppD0II7C9ozKzJpCt6TLrSNt0oXmSgH4IVDITNwRp5ttEVQud6PPfDII+IyI19fzwLAHD3gG6YY2aQ98PJbPxTUOrIbjmMLumKJ0/VPFtWibLaOvh4eaFXpzBXd8dtcD1e23RBXipH8czG8gm20U3XjA9mkOxuOHmWiMhNZSkrsS+/BF4yGa7pmuDq7jgFi6BDP4rXJzKMiSCa0Y/kRYS5tB/uTJd0hevxzKebrpkYxiDFGpyu6b4Y5BERuSndVM2RCZHo5AFZy8pVdTjQGOB4dhF03Xo8Jl1pjiN5bWPSFctxJM82OeUcyXNXDPKIiNzUusapmtd16+zinjjHnzlF0AqB5LAgxHlwUV1dZk2ux2tSWVevL1jNIM+4zAssn2CJsloVylX1AIDOHnzPsQXX5LkvBnlERG6otEaF7efyAQDXdfOMqZr69XgePFUTAJOuGHCscRQvMtAPEQHSH9W2FkfyLHO2rGEUr2OAghlbrSCEQE4Fp2u6KwZ5RERuaENmDjRCIC2yA7qEe0YSBRZBBwqrapBXUQ0ZgH4sn6Cnn6rJ+nhG1dSr9UkwUj3knmErlk+wTXG1Sp/FOZYjeW6HQR4RkRvSZdWc4iFTNVVqDXbnNRR89+QgTzdVs2t4CII4sqDH8gltO9M4KhWi8EGEv2eWH7EU1+PZRjeKFxXoxyRRbohBHhGRm6lVq7H5VC4A4LrunjFVc+/5EtSqNegU4IduHjwKoUu6MjCaSVeaO1rCpCtt0WXWTO0QAplM5uLetA/6zJoM8qzStB6P6xndEYM8IiI3s/XMeVTVqxEfHOAxH/Z1UzVHJkR69AdUrscz7EhRGQCgF0fyjOJ6PMuxELptWD7BvdmlGHpxcTH+/PNPnD17FkVFRfDz88MDDzyAkJAQfPnll4iNjcWIESMgd/JQbllZGV555RVs2rQJxcXFEEIAAMLDwzFmzBgsWrQIUVHGpwWVlZXhmWeewYYNG1BTU6P/vbe3N7p164aXXnoJw4cP1//+5MmT6Nu3L0JDjX/TKJPJsH79egwaNMgOz5CIpEg/VbN7Z48JeFgEvUFTZk3PCO7NUafR6AMYjuQZl3lBVwidQZ65OF3TNiyf4N5sDvL+9a9/4cUXX0RFRQWCg4MREhKCvLw8DBgwAFdddRXee+897NixA2PHjsUPP/yAoCDnvJA0Gg3Gjx+Pa6+9Ftu3b0d4eLj+w5JSqcSqVaswYsQIHDx4EAEBhr+BmD9/PsLCwnDo0CEEBjZdwFqtFn/88QdmzpyJnTt3IjY2FgBQVVWFYcOGYfv27Q5/fkQkTRqtFj+cbKiPN6W7Z6zH0wqBnTksgl6uqsPJxhT4HMlrcvJCOTRCINjXh8kdTDjFQugWO8uRPJsws6Z7s2m65qZNm7BgwQLcd999KCoqglKpxJ9//gkhhH7U7Ndff8Uvv/yC3bt3Y8WKFXbptDm+++47JCUlIT09HRERES2+DQ8NDcXDDz+MSZMm4f333ze6j82bN+OVV15pEeABgJeXF0aOHImbb74Z69atc9hzICLP81duMQqrahHm54vRnaNd3R2nOFxUhrLaOgT6eKO/Bwc3/xSUAgDigwPQkWUC9JoXQfeUkW1rZDaOdjKzpnmq6upRXK0CwJE8a+nW5HEkzz3ZFOS9/vrrGDduHBYvXoyIiIapJYZuwGPHjsW0adPw3//+15bDWSQjIwPjxo0z2WbChAnIyMgw+viCBQvg7+9v9PGEhARkZ2db3Ucioot9f6JhqubVqfHwkXvGsmndVM1L4zvB28sznrMhuqQrnKrZUvMgjwyr12j1Uw85kmeerMb1ZCEKH4T5+bq4N+2TbromC6G7J5veTU+cONFiTZopPXr0cGpAlJOTg5iYGJNtYmNjkZWVZfTx+fPnm9z+0KFDSE1Ntap/REQXE0Lgu2PnAHjOVE2ARdB1mtbjee5opiFMutK2LGUl1FoBP285p7Saqfl6PI4QW04IgWwmXnFrNgV5OTk5JhOXNBcUFITS0lJbDmcRjUbTZqIXb29vqNVqq/b/ww8/YPPmzZg6dWqL3xcVFWH+/Pno27cvYmNjER0djejoaPTq1Qt33nkncnJyTO5XpVKhvLy8xQ8ReYajxUpkllZAIffCFSlxru6OUwghWAS90f4C3Ugeg7zmjpaUAWCNPFN0iWlSwoLhxYDFLOfKdOUTONXQGuWqelTVN3yG5kiee7J5XoyXmVNrpPItSWlpKWbPno358+fj+++/R4cOHfSPRUZGQi6XIz4+Hhs3bkRWVhby8/ORn5+PP//8U5+Mpr6+3uj+Fy9ejNDQUP1PQoJn1MgiImBd41TN8cmxCFZ4RiHsc8pK5FZUw9tLhmFxnVzdHZdRqTU43DhiNSCK0zV1NFotjpc0fNnJ6ZrGNa3H41RNczGzpm10SVc6+Pki0Ncz3q/aG5uCPG9vb5MBS3NqtdrpJRSaO378OFJSUnDixAmrthdC4Msvv0S/fv3QoUMH7Nu3D3379m3RJjY2FgcPHsT//d//IT4+Ht7eTclLQ0NDcf/99yMpKQm//fab0eMsXLgQSqVS/8M1f0SeQ186oZsnTdVsyKo5KCYCAT52qerTLh0uKoNaK9DBzxedObKgd05ZhVq1Bgq5F5LD+GHcGNbIsxwLodsml+vx3J5N76hJSUnIzc01q21BQQESExNtOZxNunfvjtOnT1u1bXZ2NmbPng0hBDZt2oTevXtb3Y+ePXvi1KlTGD9+vMHHFQoFFAqF1fsnovYpt7wKu/OKIQMwuVu8q7vjNPqpmh6/Hq9hqubA6AjJzHyxh6PFZQCAbhGhkHtwUp626MonpHZgZk1zsXyCbXJ0mTVDeP7clU13zN69e+OHH35oc12bEAIbN25Enz59bDmcRcxZb6dWq1uMthmye/dujB49GtOnT8fWrVttCvAAICAgANXV1Tbtg4ikR1cb79L4SEQHec43oyyC3mB/AZOuGHKEmTXNksmRPItxuqZtcnRJVziS57ZsGsl7/vnnMWjQIFx22WV4+OGHkZycjJqaGgDA+fPnceTIEWRnZ+Pdd9/F4cOH8emnn9ql0+aIj49Hfn6+yTZ5eXno3Nn4tKiysjJcf/31+PLLLzFy5Mg2j/njjz8iICDA6CgdANTU1LSZ9ZOIPM+6xqma13XznHW4RVW1OFbS8CF+RHyki3vjWk2ZNbkerzndSB4zaxqnFQKndWvyGOSZpU6jQV7jSFQSgzyrcCTP/dk0kte3b19s3rwZSqUSN954I4YMGYLRo0cDAO666y6kpaXhqquuwunTp7Fp06ZWa9gcKS0tDVu3bjXZZuvWrUhLSzP6+Ouvv45bbrnFrAAPAAoLC7Fx40aTbU6cOIGUlBSz9kdEnkFZW4dfzjZ8KeVJpRN25jSM4vXuFIYIDy7+rdFqcYAjeQaxRl7bzldUo0atgVwmQ2cGLGbJKa+GAODnLUdkoOfee2yhK4TONXnuy+ZV7uPHj8c///yDsrIynD17FkqlUv9YcHAwkpOTW2SgdJYpU6ZgyZIlSE9Px0MPPYTw8HD9Oofy8nJ88skn2LBhA/755x+j+9i7dy+eeOIJs485YcIEPP/887j22msxevToFusq6uvr8cUXX+D48eP6QJiICAA2ncpBvVaLnh1D0S3Ccz7M6pKujEzw7FG8kxfKUV2vRoCPN7qFc02VjhBCP5LH8gnG6ZKuJIYGwUfOdYvm0E3V7BwSyDWwVsphjTy3Z7dUZmFhYejfv7+9dmczuVyOn3/+GS+//DLGjBmDkpISCCEANPR1zJgx+P333xEY2DDMvH37dtx5553Yt28fQkIa3mQvXLiAadOmmcwKOn78eHz++ecAgMTERHz++edIT0/H8ePHodFo9O38/Pxw6aWXYsOGDUysQmSFb46exepDp/WvY3P4ecvx1Ii+6Bvl3qMjnphVE2DSFR3dVM2+kR2YXKSZ/MoaKFX18JLJGPyawPIJluN6PNvpp2sGc7qmu5J0vurQ0FAsXboUS5cubbPt2LFjkZmZ2eJ3u3btsviYo0aNwi+//GLxdkRkXFmtCrN//B2VdaaTKRkS5OuDD68Z4YBe2YdKrcHGzIYsxdd50FTNyrp67DvfkFGSSVc4VdOQI42jeClhQVB4u64Ek7tj+QTLNZVPYIBijZp6NS7UqABwJM+dSTrIIyJp+GDfCVTWqdE9IgT/N8y8LL1bzuRi7dFzqNNoHdw722w/l4+KunrEBPljSGxHV3fHaf7KLYJGCHQOCfT4dUS68gksgt6Sbj1er05hru2Im8tk+QSLnS3jSJ4tdOvxAny8EarwdXFvyBizgrwtW7YgJyfH5oPFx8dj4sSJNu+HiDxHnUaDt/4+CgBYOLwvbu+XatZ25XV1WHv0nCO7Zhff67NqdoaXB60N0ZVOGOnhUzWFEM0ya3IkrzkmXTEPR/Isp5uumRTGIM8azcsncE2j+zIryLvvvvsMFhKXyWRmrY/RXQApKSk4efKkhV0kIk/25eEzyKuoRmxwAGb0SXZ1d+xKKwTWnWhcj+dBUzUBYEd2Q9KVUZ09O+lKTnk1SmpUkMtk6BMZ5uruuBV90pWIMJf2w50JIZB5oXEkj2vyzNY0XZNBnjVYPqF9MGuFd2ZmJrRabasfIQRWrFhh8DHdz/79+3HppZdi6tSpOHbsmKOfDxFJiBAC/9p1GADw4OAe8DWRBKk92pNXjPOVNQj29cHYxGhXd8dp6jVa7MotAsD1ePsLGqZq9u4UBj9vrqBo7mgJR/LacqFGBaWqHgCQEsYgzxxaIZBdzjV5tmAh9PbB4Wm8+vXrh3Xr1mHjxo348MMPHX04IpKQ/53OQ0ZhKQJ9vHHPwO6u7o7d6aZqTkqN86jEEvvyS1Bdr0a4v8LjU+NzqqZhpTUq5FfWAAB6MMgzSpdZMy44AP4+/JLAHOcrqlGv1UIukyGWQYpVWCOvfXBKruaIiAhMmjQJa9asccbhiEgidKN4dw7oig7+0is98r2HTtX8PVu3Hi/So9YhGrJPl3QlmklXmtOtx4sPDkAIEzsYxfV4ltNN1YwPCYA3S5ZYhdM12wenXd09evTAkSNHnHU4Imrn/im4gP+dyYOXTIZHhvZydXfs7kSJEkeLlfDx8sJVXeJd3R2nYtKVJvqRPDev5ehsLIJuHv16PGbWNNtZ1sizGQuhtw9OC/I6deqE0tJSZx2OiNq51xtH8W7smYgkCa41WXciGwAwLikaoX6eM1KhFQK/65KuJHh20pWS6lr92qD+nK7ZAtfjmYcjeZZjIXTbsRB6+2BTkOfl5QWNRmNWW6ZYJSJz5ZRX4YvDDRl9H7vEvLp47Y1uPZ6nTdU8VqxESY0K/t5yDIzx7CmKulG8Lh2COSXxIiyfYB5dkMfMmubTl09gkGeVeo0WBY3rZTmS595sCvISEhJw/vx5s9oWFhYiISHBlsMRkYdY/vdRqLUCYzpHYbAEC4TnV1bjz5yG0axru3rWfVE3VfOSuE6Sy5Zqqf0FTLpiDKdrmkdXCJ0jeeZrKp/AUShrnK+shgDg4+WFjgF+ru4OmWBTkNejRw/88ssvZrX9+eef0b279LLjEZF9lavq8O99xwEAj10qzVG8H0/kQAAYGtsRcR62cF2XdMXTSycAwH5d0pUozx7RvFh1vRpnyxpGWziSZ1xlXT0KqmoBMMizBKdr2ianvCmzpqcnznJ3NgV5CxcuxO7duzF37lwcOnQI5eXlLWrklZeX4+DBg5gzZw7+/vtvPP300/bqNxFJ1EcHTqJcVY8eEaGYlCrNhCS6AujXdfOsqZoAsCObSVd0WD7BsOMlSggAEf4KdOJIgVG6qZoR/gqE+Ukv+7AjCCGaRvLCGORZI6eCSVfaC5uKqowePRoff/wxFi5ciE8++cRgGyEEIiMj8dFHH2HUqFG2HI6IJK5eo8WbfzVk4f2/S3pL8lvCClU9fj6TB8Dz1uNlK6twTlkFuUyGS+M7ubo7LlVVV4/jjclFBrJ8QgvN1+NxPb9xXI9nuZIaFarr1QCABAYpVtGN5DHpivuzuXLm7NmzMX36dBw/fhxnz56FUqnUPxYaGoqkpCR0794d/v7+th6KiCRu7dGzyCqvQmSgH2alpbi6Ow7x0+lcqDRadA0P8bipaLpRvAHR4Qjy9XFxb1zrYGEpBICYIH9EBfH9sTmuxzOPrnxClzCWTzCXbhpwdJA//LxZPN4a+kLoDJLdnl2ucH9/f/Tv3x/9+/e3x+6IyAMJIfTFzx8c3FOyb8DNs2p62igF1+M1aZqqyVG8izGzpnk4kme5pvV4HIWyln66ZjCDPHfntDp5RESmbD+Xj335JfD3lmPeIGkmaarXaLEhMwcAcF03z8qqCbAIenP79ElXuB7vYkf0I3kM8kzJZI08i+nW47F8gvX00zU9LGlYe8Qgj4jcgm4Ub27/roiQaLKF37LyUVZbh8hAP1wS51lr0i7UqHCoqAwAMNLDi6ADTLpiTL1Gi5ON0xB7cbqmSacayyekduB0TXMxs6btcso5ktde2DwfSqvVmt3Wy4sxJRG1drioFBszcyADMH9oL1d3x2F0UzWv7ZoAuYfdD3dmN9QF7B4RgshAz16DVq/R4lBRKQBO17zYqdJyqLUCgT7eSOBIgVEqtQZZjaNSHMkzH4M822iFQF6lroQCX5/uzqZPGV26dIGPj4/ZP6mpqfbqNxFJyBu7GjJqTu2RiC7h0vxWWgiBdSeyAXheVk2gKenKKE7VxJHiMtRptAhV+CCZadxb0K3H68HMmiadVVZCAAj08UZkoDRnPjgCC6HbprCqBmqtgJdMhmgmjHJ7No3kvf/++8jNzTX6uFqtxo4dO/Dll1/i7rvvxuTJk205HBFJ0PmKaqw+dAoA8NglvV3cG8fZn38B2eVVCPTxxvjkGFd3x+mYdKWJrgh6/6hwBjIX0SddieB6PFN0mTVTw4N5DVmAI3m20a3Hiw7yh4/cs2ajtEc2BXkTJkxos80dd9yBa665BnfccQcWLFhgy+GISIJW7DmGOo0Ww+MjcWm8dNdq6aZqXtklTrKZQ42pqVdjT15DYMOkK8ysacoRlk8wyyl90hVpznxwhHJVHUpr6wAwyLMWM2u2L04Jw6dNm4aUlBQsXbrUGYcjonaisq4e7+09BkDao3gA8P2JptIJnuav3CLUa7WIDQ7g9EQw6YopLJ9gHl1mzVSuxzObbqpmuL8CwQrPrtNpLd1IXhyDvHbBaWOt48aNw+bNm511OCJqB1b+k4nS2jqkdgjGtRIuKXC6tAIZhaWQy2SYlBrv6u443Y7GpCujEiI9fmqZVggcKGgI8gZyJK8FrRA4VtIQ5PXqFObazri5UyyfYDHWyLOdrhA6yye0D06bMxQdHW1y/R4RWeZYcRle/eMQyuvqzd5GBuC2vl1wbTfXjyZptFos+6uhbMKjl/SWdLbJdY2jeGMSoxHur3Bxb5yP6/GanC6tQEVdPfy85ejB0aoWspVVqK5Xw8fLi8FLG/Rr8jhd02xcj2c7lk9oX5wW5Pn7+6O2ttZZhyOStPzKalz++RbkNH6rZokjxWVuEeR9dzwLZ8oqEeGvwO19pZ15V7cezxOnaqq1WvyRoxvJY5Cnm6qZFtkB3hL+YsMaR0vKAABdw0N4bkzQaLU4U9YQsDAYNh8za9ouhyN57YrTgrzi4mLExsY663BEklWrVmPK178gp6Ia3SNC8IiZdeVOl1XitT8PQaU2v7alowgh8NqfhwAA9w/ugQAf6SYiKaqqxe+N0xWvk/CUVGP+KbiAyjo1QhU+6M0peNjXmFlzQBTX413sSBHX45kjp7wa9VotfOVeiA/hiIq5OJJnO91IHtfktQ9O+2S1a9cu1skjspEQAnet/wN/5Rajg58vfpw+AV3NrCu3K6dQH1i52s7sQuzOK4ZC7oX7B/dwdXccav3JbGiFwIDocHT2wA8XO7IapmqOSIiS9JRcc+nKJzDpSmtH9Zk1GeSZklnaMFUzOSyIrykLMMizjRCiaU0eg7x2weFBXmVlJZYtW4aff/4Za9eudfThiCTt1T8ysPrQachlMnx9w1izAzx3869dDcHm7X1TERko7YKquvV4U9xgiqwrNE+64umEENhfwPIJxugya/Zi+QSTTukza7bP+7+rnC1j4hVblNbWoUatAQDEcQS5XbApyBszZgzOnDlj9PHKykoolUr4+vri2WefxdSpU205HJFHW3c8C09t2wcAePuKYRif3D6nPx8vUeKHE9kAGhKuSFl1vRpbTucB8Mz1eEIIJl1p5nxlDQqrauElkyEtsoOru+NWhBA4WsLpmubIZGZNi9Wq1SioasgLkcSRPKvopmp2DFB4XK3X9sqmv9Ls2bORlZVl9PGQkBAkJSVh2LBhXI9HZIODBRcw8/vfIADcN6gH7mvHUxyX/XUYAsC13RLQPULaH+a2nM5FjVqD5LAgj/xQf/JCOQqraqGQe2FwTEdXd8fldFM1e0SESnodqjWKqmtxoUYFGSD5+4Kt9CN57XQmhytkNSZdCfTx9sgMx/agT7oSzJHQ9sKmd5k5c+bYqx9EZERhVQ0m/3crqurVGJ8UgzcnDnV1l6xWWFWDTw6eAgA8dkkfF/fG8XRZNa/r1tkj68Pp1uMNje0Ehbfcxb1xPRZBN+5IURkAICksCP4MgE3SlU/gSJ75mjJrBnnkvdgeclkIvd3hil0iN6ZSa3D919uQVV6F1A7B+OqGsfCRt9+X7bt7jqFWrcHQ2I4YKfE1WmqtFutP5gDwzKmaALCDUzVbaFqPxyDvYk1TNcNc2xE3J4RotiaPQZ65WAjddjkVjTXyuB6v3bDp02J1tWU1uixtT+TJhBC4d+Of2JlTiFCFD36cPr5dTzOprlfjnb3HADSM4kn929Sd2YUoqVEhwl+BERIPaI3ZkdWYdKWzZz7/i+mmaw5k0pVWmpKucKqmKQVVNaiqV8NLJkNSGNeWmYuZNW2XU87pmu2NTUFefHw81qxZY1bbzz77DJ07e+a32UTWeH3XYaw6mAm5TIavrh+LHu38G+5PD2aiuFqFpNAgTO0h/XuBbqrm5K4JHlnYOa+iGqfLKuAlk2F4PIO8slqVvoB1f9bIa6WpfEKYS/vh7nSjeJ1DAuEr5xRoczGzpu04ktf+2PTJo6ysDGVlZWa1PXHiBAID+eIiMsf6k9lYsHUPAGDZxKGY2CXOxT2yjUarxRt/HQEAzB/WS/JBjxBCXzrhuu6eVwAdgD6rZt/IDghR+Lq4N653oHE9XlJoEDq04xF5R9GN5DGzpmmZF5hZ0xrN1+SRdXQ18uI4ktduOO2T1vbt29G1a1dnHY6o3TpUWIoZ3/0KAeDuAd3wQDvOpKnz48lsnLxQjjA/X8ztL/37QEZhKc6UVcLfW46JKe07QLeWLukK1+M12MekK0Ypa+v0HyAZ5JnWlFmTQZ4ldNM1OcXVeroSChzJaz8sTmGl1WoBNHxTrfu37ncXq66uRnZ2NlasWIE//vgDmzdvtqGrRNJXXF2La7/aiso6NcYmRmPFlZdIYu3av/48DACYN7A7gnx9XNwbx9NN1ZyYEuuxqfL1SVcSGOQBTevxWAS9tWONSVeig/wR5sdRTlMyS3WZNVk+wVxqrVb/JQJH8qxToaqHUlUPgGvy2hOLRvJWrVoFb29v+Pj4wNe3YfrNww8/DB8fH4M/oaGh6NOnD7788kusWLECl19+uUOeBJEU1Gk0uGHtNpwpq0SXDsFY284zaersyinEzpxC+Hh54cEhPV3dHaf4vnGqpqdm1VTW1uFgQSkAJl3RYWZN4/Tr8Vgfr02nWAjdYrnl1dAIAV+5F6KD/F3dnXYpt3E9XojCB8EK6X9RKxUWfcV81VVXYdWqVRBCQAiBuXPnYubMmRg/frzB9oGBgUhKSkKPHj0QFMRvT4iMEULgvk278FtWAUIaM2lGBPi5ult28fpfDaN4s9JSEOMB9XWylJXYn38BXjIZrunqmevx/sgphEBDivfoIOn/zdtSU6/GscY1ZwOYdKUVfWbNTmGu7Ug7kMnyCRbTTdVMCAmElwRmxrhCDmvktUsWBXlRUVG47bbb9P+eO3cuLrnkEtx+++127xiRJ3lr9xF8dOAkvGQyfDl1jGQyzJ26UI5vjzWMav3fJb1d3BvnWHciGwAwMiESHSUSqFtKtx5vJKdqAmhYo6kRAp0C/BDLD0mtMOmKecpqVbhQowIApDDIMxuTrthON92VUzXbF5vmgr3wwguYMGGCvfpC5JE2Zebg/35uyKT5rwmDcVVqvIt7ZD9v7j4CrRC4qkscenfq4OruOIVuPZ6nTtUEWAT9YvubJV2Rwhpbe2uarhnm0n64O91Uzeggf49Y22wvZ1kI3WYsn9A+2ZQR4JlnnrFXP4g80tHiMtz83a/QCoE7+nfFI0N7ubpLdlNSXYuP/8kE0FD83BNcqFHh13P5AIDrunlmkFerVmN3XjEABnk6+wtYBN2YWrUapxtrmHEkzzR9+YQwjuJZgoXQbcdC6O1T+8/qQNROlVTXYvJ/t6JcVY9RCVF49yppZNLU+fe+46iuV2NAdDjGJUW7ujtOsTEzBxohkBbZwWOnU+3JK0GdRouoQD+uG2q0n+UTjDpRUg6tEAhV+DApRhtYPsE6+vIJDPKsphvJ45q89sXskbz09HTs3LkT06dPx1133QUAOHLkCPLz880+WHR0NHr1ks5IBZG16jVaTPtmO06VViApNAjfTBsHX7nc1d2ym1q1Gsv/PgqgYRRPSsGrKfqpmh46igc0TdUcmRDlMX93U9RaLQ4WNmQaZfmE1ponXeH1YhrLJ1inaU0eR6GspV+Tx+ma7YrZQd7ixYuhVqtRVFSkD/LGjx+PgoICsw8WFRWF8+fPW95LIgkRQuDBn3Zh+7l8BPl648fp49EpUFoJOj7POI2CqlokhATixp5Jru6OU9TUq7H5VC4AD1+PxyLoLRwrVqJWrUGwrw/T3hvA9XjmO8XMmhbTCoEsTte0mX66ZggD5fbE7CDvvffewx9//IGpU6fqf3fs2DGUlZWZfbCwsDBL+kYkSe/sOYb3952ADMAXU8egT6S0EpJohdCXTXhkaC9J1Pozx9az51FVr0ZCSKDHTsvTaLXYmVMIgEXQdXRTNftFdWD6dgOOljCzprkyWSPPYoVVNVBptPCSyRigWKlWrUZRdS0AIJ7TNdsVs4O8O+64A3fccUeL34WGhiI0lDdmInP973QeHtmyGwDw6vjBkqyjtikzB0eLlQhR+ODOAV1d3R2nWdc4VfO6bgkeO+3sUFEZylX1CPb1Qb8oaX15YS1d0hVO1TTsSFEZAAZ5bamuVyOvccpcajina5pLN1UzNsjfY75wtLe8ihoAgELuhXB/hYt7Q5bgFU/kJMdLlLjxm23QCIHb+3bBYxKtG/evXQ2jeHcP6IYQha+Le+McGq0WP5xsqI/HqZrA8PhOkHvx7QVolnSFRdBbUWu1OHGhYZ2ZVGqDOsrpxlG8MD9fftC2wNkyTtW0VdN6vECP/QKzvbKphIIl8vLy8Msvv2DWrFnOOiR5ILVWi2PFSuw5X4y950uQX1Vj0fYj4iPxyDD7B1+lNSpc+9+tUKrqMSI+Eu9PGi7Jm+WevGJsP5cPby8ZHhriOUmWduUWobCqFmF+vhjd2TMyiRrSPOkKNay/PVDAzJrGnCmrRJ1GC39vOZNitIHr8ayjz6wZxiDPWjnljTXyOFWz3XFakPff//4X6enpTgvyysrK8Morr2DTpk0oLi6GEAIAEB4ejjFjxmDRokWIijL9QWTv3r14/vnncejQIVRXN3yTIZfLERcXh7vvvhtz5syB/KKMiCdPnkR6ejr+/vtvVFQ03JS9vLwQHR2N6dOn45FHHoFCwW/h7EGj1eJ4STn2nC/GnvMl2Hu+BPvzS1Cj1li9z7VHz2F2v1SE+dnvb1Sv0eKmb7fjxIVydA4JxLc3joPCWzqZNJt7vXEU7+ZeyUjwoA9tuqya16TGe+yUICEEk65c5GxZJcpq6+Dj5YVencJc3R23o0u60j0ilCO/bWjKrMkgzxJNmTUZ5Fkrp4JJV9orpwV5f//9N5KTk51yLI1Gg/Hjx+Paa6/F9u3bER4erh81USqVWLVqFUaMGIGDBw8iIMDwNxN79+7FjTfeiBUrVmD8+PH6wEyr1eLkyZN44okncOzYMfzrX//Sb5OTk4Px48djyZIl+PDDD/X7FkIgJycHL774ImbOnIm1a9c6+AxIj6ZxWs/e8yX6Ubr9+RdQVa9u1TbI1xsDoyMwOKYjUjoEQYa2R8wEBB7Y/BcAoF4j7Nr3R/+3Gz+fOY9An4ZMmpGB0qwFdbasAl8fPQsA+D+JTkU1RAihD/Ku8+CpmqdLK3C+sgY+Xl4YGtvR1d1xC/sbR/H6RIZJqkSKvejKJ3A9XtuaRvK4Hs8STYXQGaBYSz+Sx/IJ7Y5ZQd6HH36IrKwsqw6gUqlw6NAhbN68Gf/5z3+s2oelvvvuOyQlJSE9Pb3VY6GhoXj44Ydx6tQpvP/++5g/f77BfaSnp+Ott97CpEmTWvzey8sL3bt3x+eff45evXrh8ccf148ILlmyBI8//jhuueWWFtvIZDIkJCTg3//+NwYOHIj9+/djwIABdnq20qMVAicvCuj25Zegsq51QBfo440B0eEYHNMRg2IiMDgmAt0iQi3OYidEU5BnT//eewwr9hyDDMDnU0ajr4TX5by1+yg0QmBCcgz6e1CSiaPFSmSWVkAh98IVKXGu7o7L/J7dkFVzSGxH+Ps47ftDt7Y/vyHpykAPej1YoinpSphL+9EeZF5gZk1rnGP5BJvp1uTFBTNQbm/Meif+/PPPcfbsWasO4Ofnh+TkZHz55Ze48cYbrdqHpTIyMjBu3DiTbSZMmIDvv//e6n0EBgZi0KBBOH78uD7Iy8jIwL333mt0Gy8vL1x22WXIyMiwPMirqgIMfRMslwN+fi3bGe8A4O9vXdvqakAYGeGSyYDmI6IWtNVWV+N0iRL7zpfgQMEF7Mtv+G9FY0BX7ds0bTIcWvTvFIaB0eEYGBWB/tHh6BYR0jTNJ7DZDai2FtCYmLZ5cVu1GgF1qoZ/V1UBaLZtQEBDvwFApQLUrYNNQ223HTuLBT/8hgAh8MLofrguPqLlOff3bzjPAFBXB9TXG9+vJW39/JqulWZtvaqrEFCngr/Kp6kfzdvW1ze0N0ahALy9DbYtq1Vhze6DCKjT4Im+KQ3nSNdWrW44b8b4+gI+Ppa31Wga/nZGeDU/R220hY9Pw74BQKsFakys5byo7YYDxxBQp8KVKbEIVtcB6mbn0Nu74bwBDa+JxmnfBlnSto3XvaK2BgF1KnjXVDc8byfcI/46eQ4BdSpc1im49XY23CNQU9PwNzGm+Wv5orYtzkNVlW33CFNtjdwjjpzNRUCdCkNC/ZrOiSX3EwfcIxS1NfBqfj4tuZ/YcI8w1FZXPqFXWKDpa81B94gWr+XGtn61tQioU0FeXd2yTzbcI0y2NfN1n5dfBF91fVNmTRvvEVa3veh1b/BcGWnrqM8Rxu4RQggUFZUAaLbm05L7iYPuET719QioU8HL2Hlz8T0CQIvXfX5pGQLqVEiUw3B/HXiPMPY5wvfie7sT7xFmtXX0PcLUa7Q5IUFz584Va9euNdnm77//FuPHjzf6eGhoaJvHuf/++8Vnn32m/3dKSoooLi42uc1rr70mXnzxRaOP19bWCqVSqf/Jzs4WAISy4U/b+mfSpJY7CAgw3A4QYsyYlm07djTedvDgFk21iYlG2+Z2Thb3bvhD3LNhp7hr/U6Rm5BktG1hp2gx49vt4uZvtotxn24Se+OTjba9EBQiHtj0p1h14KTIKLggtGPGGO9vQEDL5zZpkvG2F1/206aZbPvod7+I+zf9Ke7b+Kf4Y4Lp/T702Q9i9rod4vZ1v4n/XDrBdB/OnGnqw2OPmW576FBT2/R00213725qu3Spybar3/5QPLplt3h0y27xzQOPm2z7nxff0Lf94rHnTPfhq6+a+vDVV6bbrlzZ1Hb9etNtV6xoarttm8m22+9/VODFleLW739rOCcm2m6edaf+ub36wRcm2/4ybZa+7Yuffm+6v/fd19TfwkLTbW+/valtZaXpttOmtbyGTbW14B5xsu9A/XN7dMtuUREaZrTtuW49W7TN6mDiftKrV8s+9OplvG1iYsu2gwcbb9uxY8u2drxHNH9uB0ZdZrLtk+t+1bfdffnVpv8ehYVNfbjvPtNtHXSPGHzPs2LlgRMNbdu4R4ht25r2u2KFybaW3CNWPfOKCFjymcCLK0XWhx+b7oOD7hFi6dKmtm3cI0R6elPbQ4dMt33sMSGEEIcLS8Xi1etMtv198jT9OXv2q59Mtl05YITILa9q6IOL7hHNP0dcunK9KAwIMt72os8RwsTniOb3iAP5JeJ8ovHPBiVRMS1en+e69TTatjAgSODFlaKqrr5h5y76HCEqK/VNv790nOm2DrpHvPrBF/pztnnWnSbbLlu+St/2mUk3m+6DBfcIsX59U9uVK023dYPPEY6+RwghGv6Gptoa+ByhBAQAoVQqhSmSnFOj0WhaJUS5mLe3N9Smvh0xw8X7sMdxFy9ejOeff96mfjmCAIyubCutUeHf+47r//1wbR1ijbStqq/HF4fP6P+tEcLoMTv4+WL5lZdY3lk7+/e+E/oRxSElSlxqou2aw2dQHNgwRWuIxsS3hW7iPwdO4ldlwzVbe/Y8rjfR9rvjWdiIhsQqt5/Kxc1O6J+z/JlbhDcaC7j3KsjFAhNt95wv1rdNLC3GM07on7PklFfpnxsAPFmvhrFJTgVVNS3aPmjitdweNX9ul1woRz8Tbd/ec1R/j0grLsMQB/fNXVlyj1h/MgfVfWLg7y1HdJA0S6088cseZOw7gSdNtDlQcEF/rXWsKscLJtr6enkhJkiaa7qbe2TLbqyoVsFYnuJyVV2L1+fNVTUwtRo6ISQQAZxCjk8OnsKRgoaRqODcIlxhou3nh05hT1nDPf2xdvBZhgyTCSGxd2YAs2fPxpQpUzBlyhSjbQ4cOIBHHnkE27dvN/h4WFgYysrKTB7nkUceQf/+/TF79mwAQFJSEg4cOICwsDCj27z55psoKyvDokWLDD6uUqmgajbMXF5ejoSEBCjz8hASYmDBtZOma9ZXVOKF3/ZDBhm8ZA2pTGQyNPy/DFD7B+h/76OqgRxobNPUHrKGKasaP3/IZDKE+PpgUFgAeoaHGM9IaGIqlsm2Fk6zEGo1gpZ+rv/VY8N6Q9bYb7W/H2QyL8hkgHddHeRarf656c6D7r9qP3/IvLwgAxAmE7i5e4LxWnFOnq65O7cQ41ZvQXJoEA7dOwXv7T2GB7b/g26dOuC67gnwUqshN7Ffja8PtPKGN0pDbWOC/HHvoB4N6yFNTLNoxUHTLJbtO4FHf/0Ht6Z1wafXDG/Rdtb3v+K749m4LDEa/aPDofX2hqZxvzKtFt4m+mCo7aVxkZjUNb51YxdN17zpm23YkJmLFVcMw5xBPYy21Z2H8Ykx6BfdAcJLBrWiqa2PiSkkrdrW1mJ4XCdclWrgPLhouuaNa7dh46lcvHPlMMzu19Wse8TN327HjydzMLJHsr7sgXedCjITH3Tq/fz006vkdXXwarbfkQlRuKJLs7WaLp6Kdf3Xv2BdVhE+um5UwzmxcLrm1NWbsOXMeVyREoveF2UMbeseYajtZYkxmJgY5ZJ7hKGpWNd88TO2ZeVj5TUjcFPvZMNtzZyKNfbTTfjt7HlMS4pE94hQg021cjk0uv0KAR8T/Z2QmoAx3ZP0bV09XXP4qg3453QOvpw6GpO7GQizrJyuOfijH3HkXB6u756A5DADaxBlsobXXCNvVS1kWuMfZa/q2x3DEyIb/uEG0zUHvbMWxwpKsH76eIxLijHZ1tp7xH2b/sQnB09hZEKkPhGWWqGAaGwrr6+Hl4n9qn19IRpf9/L6egzpGIopPRINN3bBdM071+/EF4fP4JVxA/Dw0N4eN12zvLwcobGxUCqVhmMD3abG9yodx48fx1VXXYXNmzejW7duVu1jyZIl+OOPP/DDDz+Yvc3q1avx+uuvY//+/WZvo1AoDJdYCAxseUMxxpw2VrT1CQ7Ci1ePMn/fjuBvwTeYzd+wzGkrhP6beIXcC89fPdLCztnI17fpBe+gttqAQFT7KlCj8AMCA6H2D4DWywv9ojpgyWWDrey4Gby9m27U9mwrl5u8hrW6m7iBtio/f1T7KnBlv264f3BP845nK5nM/NecJW2BVm11z0/tH9D6tWDkPNw3uIf5x7OVkazGBlnyur+obYvzcPH5NHKP0G1zQ49E3D2wu/nHtoZC0fTm3RY73SNUfv7QNi9XYMl+fXz05+e6AT1xe79U87YzhwvuEYba1vr5odpXAU2AgWtGx8vL7P0KLy9MG9wbN/Wyc3ZxG+8R9mrb5rlqzoLXfY2vAjOH9TX8pZEtHPk5wkz1Pj6o9lVAa855s/IeUdf4Oh3bqwsWjuhrdt9s5uPTFEDZs+1Fr/s6U/d2B98jzGLBPcKitrrXvakvFJqxS5CXm5uLv/76C2fOnIFSqdT/PjQ0FMnJyRg2bBji4lyXda579+44ffq0Tft48klTEy4MmzVrFou/ExERERGRU9kc5D377LP417/+BZVKhfDwcAQHNw2tV1RU4MKFC1AoFHj88cfxwgumZpvbjznr7dRqNbzNjfTN3IezjktERERERGSMkYVQ5vnmm2/w8ssvY+HChVAqlSguLsaZM2f0P8XFxSgvL8fChQvx8ssv45tvvrFXv02Kj49Hfn6+yTZ5eXno3Nn4Ut2wsDBUVlZatA97HJeIiIiIiMgWNgV5y5cvx4QJE/Dcc8+1GMFrLigoCM899xwmTJiA5cuX23I4s6WlpWHr1q0m22zduhVpaWlW76Oqqgp79+5F9+7dzd5Gq9Vi27ZtJo9LRERERERkC5uCvMzMTFxyiXkp7i+55BJkZmbacjizTZkyBTk5OUhPT0dJSQmaJxAtLy/H8uXLsWHDBtx9991G9/HCCy/gkUcewYYNG1pku9RqtcjMzMSsWbMwbdo0fSF0oGHd3uuvv47PP/8c1c2yXgkhkJubi3vvvRcpKSmWF0InIiIiIiIyk01BXl5eHiIjI81q27FjR5w/f96Ww5lNLpfj559/Rk1NDcaMGYPY2FhER0cjOjoaQ4cOxaFDh/D7778jsDGbzfbt25Gamory8nL9PgYMGIBvv/0W77//Pnr27KnfPj4+HjNmzMBVV12FpUuXtjhuXFwcfvnlF6xfvx79+vXTbxMbG4urr74aKSkp+Pzzz0FEREREROQoNmUA8fb2Rr2p+jrNeHnZFE9aLDQ0FEuXLm0ViBkyduxYg6OMAwYMsKhkAgCkpqbiiy++sGgbIiIiIiIie7Ep8urYsSMKCgrs1RciIiIiIiKykU1B3tChQ7Fv3z579YWIiIiIiIhsZFOQd/fdd2Pr1q04evSovfpDRE7SPCEReSZeAkRERNJk05q84cOH47bbbsPEiRPx8ssv49JLL4VcLjfYtqioCABw5syZFh8uw8LCEB4ebks3iOxKJpO5ugvkYAxuyBh++WEaz475eK6sw5eg7XgOCbAxyOvRowcKCwsBALNnzzb54Vj3xpmamtrid5GRkW0WECciIsfh9xpERETSYlOQt23bNn2QZy1zSzAQkWPI4Lmf8D35uZNpvDZM4xcD5uO1ZB1eY7bjKfRsNgV5PXv2RM+ePe3VFyIiIiIiIrKRc4vXERERERERkUMxyCMiIiIiIpIQBnlEREREREQSYnOQt3PnTlx//fXo2rUrAgMDIZfLjf5069bNHn0mIiIiIiIiI2xKvLJ161ZcfvnlSEpKwk033YT4+Hj4+/sbbR8fH2/L4YiIiIiIiKgNNgV5ixYtQp8+fbB79274+fnZq09ERERERERkJZumax47dgzXX389AzySFNaVISIiIqL2zKYgr6SkBJ06dbJXX4iIiIiIiMhGNgV5/v7+qKiosFdfiMiJhKs74EKe/Nyb43lojefENCF4hszFU2UdwVehzXgOCbAxyOvevTuOHDlir74QERERERGRjWwK8h599FF8+eWX2LFjh736Q0ROJvPgRYie/Nyb42lojdeGaTJeNWbjtWQdXmO2k/Hi82g2ZdecNWsWNBoNxo8fjwEDBiA5ORkBAQFG2ycmJiI9Pd2WQxIREREREZEJNgV5RUVFePPNN6FWq5GVlQWNRmOyTp5arbblcERERERERNQGm4K8//u//8PJkyexZcsWTJgwwV59IiIiIiIiIivZtCbvp59+wty5cxngERERERERuQmbgryioiJ07drVXn0hIiIiIiIiG9kU5Hl7e0Or1dqrL0RERERERGQjm4K8lJQUZGVl2asvRG6BKYeJiIiIqD2zKci7++67sXbtWtTU1NirP0RERERERGQDm7JrTpw4ET/88AMGDhyI+++/H0lJSSbr5EVFRaF37962HJKIiIiIiIhMsCnImzBhAgoLCwEADz30UJvto6KicP78eVsOSUR2IoRwdRfIxXgNEBERSZNNQd7x48dRVlZmdvuwsDBbDkdEZBcMbsgYXhqm8fSYT/BsWYWvQdvxHBJgY5AXGhqK0NBQe/WFiFxABiaa8XS8BoiIiKTFpsQrRETtGUMbMobXhmlMQmw+nirr8LzZjufQszklyKupqcEnn3yCp59+2hmHIyIiIiIi8lgODfIOHz6Mhx56CLGxsZg7dy4yMzMdeTgiIiIiIiKPZ9OaPENqa2vx1Vdf4YMPPsCff/6JDh064O6778a8efOQlJRk78MRERERERFRM3YL8o4cOYIPPvgAn376KcrKyiCTyfD000/jqaeegp+fn70OQ+RwnMNORERERO2ZTdM1VSoVVq9ejVGjRiEtLQ3/+c9/MG3aNKxbtw5CCFxyySUM8IiIiIiIiJzIqpG8Y8eO6UftLly4gO7du2PZsmW4/fbbERoaitzcXHv3k4iIiIiIiMxgdpBXV1eHtWvX4v3338fvv/8OLy8vTJ06FfPmzcO4ceMc2UciIiIiIiIyk9lBXt++fXHy5EkoFAqkp6fjrrvuQkxMjCP7RkRERERERBYye03e5MmT4efnh9raWqxevRr//e9/UVpa6si+ERERERERkYXMDvJee+015OXl4e2334afnx8effRRxMfH484778S+ffsc2UcicgDh6g6Qy/EaaE3wrBBRO8f7GAEWZtcMDQ3FAw88gIMHD2Lnzp248cYbsWbNGgwZMgTDhg3Dp59+itraWkf1lYjILvj2R2QdwReP2XiurMMAhcg+rC6hcOmll2LVqlXIy8vDsmXLUF1djdmzZyM+Ph7PPfccZDJWGyNqD/hSJV4DrfE9jIjaO97HPJtNdfIAICwsDA899BAyMjKwY8cOTJo0CWvWrIEQAi+88AK+/vprqNVqe/SViMiuZOAbIJE1+MoxHz9oW4fnjcg2Ngd5zY0YMQKffvqpfnSvoqIC06dPR+fOnfH8888jLy/PnocjIiIiIiKii9g1yNPp0KEDHn74YRw+fBi//vorLrvsMixZsgR9+/Z1xOGI7IpfHhIRERFRe+aQIK+5UaNGYfXq1cjNzcX//vc/Rx+OiIiIiIjIo5ldDN1W4eHhCA8Pd9bhiIiIiIiIPJLDR/KIiIiIiIjIeSQb5NXU1GDx4sUYMGAAYmNjER0djejoaHTr1g0zZ87EqVOn2tyHSqXCs88+i9TUVP320dHRiI2NxSWXXIL169e3aF9dXY2goKAWbQ39/PDDD4562kRERERE5OGcNl3T2WbMmIGYmBisX78esbGx+lS8VVVV+OabbzBu3Djs2rULsbGxRvexZMkSnDx5Ert3724x1VQIgUOHDuHGG29EfHw8+vfvDwCoq6tDx44dcfbsWUc+NSIiIiIiIqMkGeTt2bMHOTk5+Pbbb+Hl1XKwMjAwELfddhuKi4vx6quv4q233jK6n40bN+LTTz9ttZZQJpMhLS0N8+fPxxdffKEP8oiIiIiIiFxNktM1MzIyMHbs2FYBXnMTJkxARkaGyf3MnDkTXbp0Mfp4QkICsrOzre4nkSsJ4eoekKsJXgRERESSJMmRvJycHMTExJhsExsbi6ysLJNtHnroIZOPHzp0CKmpqRb3zxSVSgWVSqX/d3l5uV33T0QMbsg4XhqmCfAEmYtnilyF9zECJDqSp9FoIJfLTbbx9vaGWq22+hi7du3C8uXLMXv27Ba/r66uxrPPPouBAwciLi4OUVFR+oQvN998M44dO2Zyv4sXL0ZoaKj+JyEhweo+EpmDtd9JxquAiNwEAxQi+2g3Qd7q1asRFhZm8mf16tUO70dNTQ0ef/xxTJ06FZ999hlSUlL0j/n5+SEhIQFCCHz77bc4c+YMCgoKkJ+fj/379+P666/HlVdeibKyMqP7X7hwIZRKpf6H00GJHEfG2IaM4KVhmowvHrPxTJGr8NrzbO1muuasWbMwa9Ysq7ZVKpUYNGgQPvzwQ4wdO9bqPmzZsgUPPvgghg0bhv379yM6OrrF435+fti7d6/BbQMDA3HTTTdhx44d+Oabb3DHHXcYbKdQKKBQKKzuI9mOoxpERESuxXdiItu0myDPFqGhocjMzLR6+9LSUtx77704ceIEPv74Y4wYMcLqffXs2dOsGn1ERERERETWaDfTNS1hzno7tVoNb++2Y9yTJ09ixIgR6NOnD/bs2WNTgAcAAQEBqK6utmkfRERERERExkgyyIuPj0d+fr7JNnl5eejcubPJNvX19Zg6dSrS09Px7LPPtpnM5a+//sKaNWtMtqmpqYG/v7/JNkRERERERNaSZJCXlpaGbdu2QavVGm2zdetWpKWlmdzPp59+il69emH69OlmHbeyshLffPONyTYnTpxokayFiIiIiIjIniQZ5A0aNAiJiYmYN28ecnNzW9TEqq6uxurVq7Fs2TI88cQTJvezd+9eXH311WYfd8iQIdi/fz++/fbbVgGmRqPBxo0b8d133+H666+37AkRERERERGZSZJBHgCsWbMGSUlJuPrqqxEbG4vo6GhER0ejX79+2LhxI7Zt24bY2Fh9++PHjyMlJQUnTpzQ/+7ChQuYP3++fltDP6NHj9a3DwkJwbp167By5UokJia2aJeUlIR3330X69atQ0REhFPPBREREREReQ7JZtf08/PDwoULsXDhQrPad+/eHadPn27xuy+//NLi46alpeHHH3+0eDsiIiIiIiJ7kOxIHhERERERkSdikEfkoQRE241I0ngFtMZzQkREUsAgj+giMpmre0COxg/yRNYRfPGYjV+kWYdnzXY8hwQwyCPyeDJGtR6Pl0BrPCdERNSeMcgjIo8lAz/JE1mDrxzz8QsD6/C82Y7n0LMxyCMiIiIiIpIQBnlEREREREQSwiCPiIiIiIhIQhjkERERERERSQiDPCIiIiIiIglhkEdERERERCQhDPKIiIiIiIgkhEEeERERERGRhDDII7qIp9QOFcLVPSBX4zVAREQkTQzyiIiIGglGvibx7BC5P97HCGCQR+TxPGXksjm+/7XkidcAkaPxPmMdBihE9sEgj4iI6CIyhr4myXh6iNwe72OejUEeEXksflAlIkfjB23r8LwR2YZBHhERERERkYQwyCMiIiIiIpIQBnlEREREREQSwiCPiIiIiIhIQhjkERERERERSQiDPKKLyJhykYiIiIjaMQZ5REREREREEsIgj4iIiIiISEIY5BF5KOHqDpDLCV4FrfCMEBGRFDDIIyKPw+CGyDpC8LVjLt5nyFV45RHAII/I4zHPDDHZUGs8JUSuwQCFyD4Y5BGRx+LneCLryPjqMRu/MCBX4bXn2RjkEREREZFbYYBCZBsGeURERERERBLCII+IiIiIiEhCGOQRERERERFJCIM8ootwGQARERERtWcM8oiIiIiIiCSEQR4REREREZGEMMgjIiIiIiKSEAZ5RB5KCOHqLpCL8RIgIiKSJgZ5REREjfjlBxERSQGDPCIPJ/PAfKL8HN+S510BZC2+dMzH+4x1eN5sx3NIAIM8IiKiVjzxyw8iIpIOBnlE5LFkMn6QJ7IGXzrm4xcG1uFZsx3PoWdjkEdERERERCQhDPKILsLRHSIiIiJqzxjkERERERERSQiDPCIiIiIiIglhkEdERERERCQhDPKIiIiIiIgkRJJBXk1NDRYvXowBAwYgNjYW0dHRiI6ORrdu3TBz5kycOnWqzX2kp6cjNDRUv62hn9GjR7fYRgiBtWvXYuTIkejcubO+XWJiIi6//HJs377dQc+YiIiIiIiogberO+AIM2bMQExMDNavX4/Y2Fh9tsSqqip88803GDduHHbt2oXY2Fij+1AqlXjrrbcwe/Zss4/71ltv4fvvv8c777yDPn36QC6XAwDq6urw559/4v7778fixYsxefJkm54fEZE9CFd3gIiIiBxCckHenj17kJOTg2+//RZeXi0HKgMDA3HbbbehuLgYr776Kt566y27HVetVmPp0qXYt28foqOjWzzm6+uLMWPG4NNPP8XcuXMZ5JFb4Ad8IiIiImmS3HTNjIwMjB07tlWA19yECROQkZFh1+NmZ2frp4YaM3DgQJw/fx5qtdquxyYisgVLQzbhlx+mCcEzROTuBO9kBAmO5OXk5CAmJsZkm9jYWGRlZTn9uADQqVMn5OfnIz4+3uDjKpUKKpVK/+/y8nK79ZHIEE/8gM+3PyJyNN5nrMMAhcg+JDeSp9Fo9GvhjPH29jZrNG379u247rrr0LVrV0RFRSE6OhpxcXEYOnQo3nnnnRb7MOe45hx78eLFCA0N1f8kJCS0uU8iIrIvT/zywxIy8AQRuTsZb2QerV0EeatXr0ZYWJjJn9WrV9v1mN27d0dWVhbuv/9+7N69G/n5+cjPz0dWVha++OILbN68Ga+99ppdjwkACxcuhFKp1P9kZ2fb/RhkGm+JnoN/ayJyNH7Otg4DFCLbtIsgb9asWSgrKzP5M2vWLIPbKpVKpKamWly+YN68efjll18wceJEdOjQQX+zkcvl6NKlC1auXIn33nvP5D6uvfZaLFmyxKLjKhQKhISEtPghIiIiIiIyl+TW5F0sNDQUmZmZdt9vx44dUVdXh9raWvj5+Rls88MPP9j9uERERERERKa0i5E8S5iz3k6tVsPb2/b41s/PD7W1tWYf157HJiIiIiIiMkRyQV58fDzy8/NNtsnLy0Pnzp1NtnniiSdaZLk0RKVS6UfxzDkuABQVFZkss0BERERERGQLyQV5aWlp2LZtG7RardE2W7duRVpamsn9/PHHHzhx4oTRx0tLS+Ht7d0iyDt//jzOnz9vdJv9+/cjOjqaI3lEREREROQwkgvyBg0ahMTERMybNw+5ubktCrdWV1dj9erVWLZsGZ544gmT+5k6dSqefPJJ5OXltXqsoKAA99xzD+68807977y9vfHEE09g+vTp+Oeff6DRaPSP1dfXY8eOHbj11lvx0ksv2eFZEhERERERGSbJIaU1a9Zg2bJluPrqq1FQUKAP9IKDgzFkyBBs27YNsbGx+vbHjx/HVVddhc2bN6Nbt24AgIcffhhqtRqXXXYZlEqlfh8ymQwdOnTA7Nmz8cgjj7Q47oMPPojY2Fjcd999OHfunH6NnkKhQNeuXbF8+XKMGzfOCWeAiIiIiIg8lSSDPD8/PyxcuBALFy40q3337t1x+vTpFr+Ty+VYsGABFixYYPZxZTIZpk2bhmnTplnUXyJXaD7KTZ6J1wAREZE0SW66JhERkbUY9xIRkRQwyCPycDLIXN0Fp+MIVkueeA2QdfjKMR/vM+QqvPQIYJBH1IqMn3eJPB5vA0SuwQCFyD4Y5BEREZFF+GUYkfvjy9SzMcgjIo/FD6pE5Gi8zViH543INgzyiIiIiIiIJIRBHhERERERkYQwyCMiIiIiIpIQBnlEREREREQSwiCPiIiIiIhIQhjkERERERERSQiDPCIiD8Waw0RERNLEII/oIjIPqc7DD/hERERE0sQgj4jIw7EofBPBrz+IqJ3jfYwABnlEHs8TP+Dz7Y/IOoIvHrPxVBGRKzHIIyIiuojME7/9IHIDHIWyH97HPBuDPCLyWJ6y/pLI3vjKMR8/aBORKzDIIyIiIiK3wuCYyDYM8oiIiIiIiCSEQR4REREREZGEMMgjIiIiIiKSEAZ5REREREREEsIgj4iIiIiISEIY5BFdhAm9iIiIiKg9Y5BH5KEE6816PMGLgIiISJIY5BERETVi3EtERFLAII/Iw3F2Ksl4FZCZBBgFE7k7vkoJYJBHRB6I0xSpLQx7yVa8zViH543IPhjkERERkUVkzFBF5Pb4KvVsDPKIyGPxcyoRORpvM9bheSOyDYM8IiIiIiIiCWGQR0REREREJCEM8oguopDLXd0FIiIiIiKrMcgjQkMSgSeG90GvjmF4ZmRfV3eHiIiIiMhq3q7uAJG7WHLZYCy5bLCru0FEREREZBOO5BEREREREUkIgzwiIg/FmsNERETSxCCPyEMJfsQnIiIikiQGeUREHo5F4Zvwqw8iIpICBnlEHk7GT/hEZCbBKJjI7fF1SgCDPCLyQHz/o7bwuw+yFafEW4dnjcg+GOQRERGRRRgDE7k/flnl2RjkEZHHkvGjKhE5GD9oW4fnjcg2DPKIiIiIiIgkhEEeERERERGRhDDIIyIiIiIikhAGeURERERERBLCII+IiIiIiEhCGOQRERERERFJiLerO+BoNTU1ePPNN/HVV1+hoKAAWq0WABASEoIhQ4bghRdeQJcuXYxu/8orr+Dtt982+rhSqcThw4eRkpKClStX4sEHH0RQUJDR9sHBwThy5Ah8fHysf1JEdiBYcdbj8RogIiKSJskHeTNmzEBMTAzWr1+P2NhYyBoLr1RVVeGbb77BuHHjsGvXLsTGxhrc/qmnnsJTTz1ldP+DBg2Cr68vgIaA77HHHsOiRYvs/jyIiMjxBCNfIiKSAEkHeXv27EFOTg6+/fZbeHm1nJkaGBiI2267DcXFxXj11Vfx1ltvWbx/IQSKiorQqVMne3WZyOlYb5Z4DZC5GAITuT/BVypB4mvyMjIyMHbs2FYBXnMTJkxARkaGVfvfuXMnevXqBYVCYW0XicgFOFhDbZEx9CUb8T5DRK4k6ZG8nJwcxMTEmGwTGxuLrKwsi/ddXl6OBx54AMuXL7e2ewapVCqoVKoWxyEiInInMsbA5CCcMm0//LLKs0l6JE+j0UAul5ts4+3tDbVabdF+T58+jZEjR+LOO+/EqFGjWjx24MABzJgxAz169EB0dDSio6MRExODgQMH4sUXX0R1dbXJfS9evBihoaH6n4SEBIv6RkTm4wdVInI0ftAmIldod0He6tWrERYWZvJn9erVDjv+nj17MHHiRCxevBgPPPBAi8dSU1Nx/vx5TJs2DTt27MD58+eRn5+PvLw8/Pjjjzh79izmz59vcv8LFy6EUqnU/2RnZzvsuRARERG5IwbHRLZpd9M1Z82ahVmzZlm1rVKpxKBBg/Dhhx9i7NixVm1/44034ttvv8WAAQNaPX7NNdfgmmuuafV7mUyGuLg4vPvuu0hISMDy5cv1GTkvplAouMaPiIiIiIis1u6CPFuEhoYiMzPT6u2XLFmCO++802CAZw6FQoGkpCScPXsW3bp1s7ofRERERERExkg6yDNnvZ1arYa3t3mn4fvvv8fWrVtt6lNAQECb6/KIiIiIiIis1e7W5FkiPj4e+fn5Jtvk5eWhc+fObe6rrKwMNTU1RoumAw0jfefPnze5n5qaGvj7+7d5PCIiIiIiImtIOshLS0vDtm3boNVqjbbZunUr0tLS2txXXl6eyQAPAA4fPow9e/YYfby+vh7nzp1DUlJSm8cjIiIiIiKyhqSnaw4aNAiJiYmYN28ennvuOcTGxkLWmDO9uroa3377LZYtW4Zdu3a1ua/KykoEBgaabDN16lS88MIL6NmzJ1JTU1s8plQq8eyzz+Kqq65iYhUicopluw+jsr7e6OPnlJVO7A0RERE5i6SDPABYs2YNli1bhquvvhoFBQX6IpvBwcEYMmQItm3b1mKE7vjx47jqqquwefPmFslR5HJ5myN5119/PcrKynDDDTegqKhIP4Iok8kQFBSEG264AS+//LIDniWR+U6XVcBv8adQa1lwVqr8vBvqgx4tVuLR//1tdnsiIiKSBskHeX5+fli4cCEWLlxoVvvu3bvj9OnTrX4/aNAgfPLJJ21uP3fuXMydO9fifhI5WtfwEIT5+aKstg4qTdMU5iGxHV3YK3KEp0b0RaCPN+o0xqeq68QE+ePKLnFO6JXr3LdpF/bll5jV9viFcgf3hoiIyPEkH+QRUYOIAD/kPnwTSqpV+t/5ecvRKdDPhb0iR+gXFY6PJ490dTdcLsyvoR5pvVaL9/Yet2jbUD8fR3TJbSz/+xgq6kxnnzYkr4LZoYnsYeb3v2F8kukZYtb6K7fYIft1NwVVtSiorHHa8fx95AhRGK5z7Y4Y5BF5kAAfbwSEetbL/rOMU1DIW+aYOlxc5prOkFO9PHYgenYMNWtEs7nYoABMSHbMhy9X070W9uWXmD26aXg/0p7ie9sPO7DpVK5N+zjrIWtey1X1KFfV2W1/GiHtpQThjV8+FVTVYs3h1jPH7CnCX9o5IF778xBe+/OQ0453z8Bu+Pek4U47nq0869MeEXmMsGbftn144KTBNh382s83cmS5hNBALBzR19XdcCu6qbz1JrJOtyU+JBDjkqLt2Cv3Ed74oVitFfgs45Rd9ylVt//wu6u70K6snDwSP57MhtbBwWzHAD9M7dF2ibD26MoucVh79Cxq1BpXd8WtyYSQ+Fcm7Vx5eTlCQ0OhVCoREhLi6u4QtRvV9Wp8cjATF2pUBh+PDvTH7f1S4e0l6UoyRGSBnPIqfHPsHOotHP01JjE0CNN6Juoze0vJC78dwKLfDsARHyI7hwTi4N3XIZRfxBG1Ym5swCDPzTHIIyIiIndUp9HAEZ8ifeRe8JJgYExkD+bGBpyuSUREREQW85X42kyi9ozzlIiIiIiIiCSEQR4REREREZGEMMgjIiIiIiKSEAZ5REREREREEsIgj4iIiIiISEIY5BEREREREUkIgzwiIiIiIiIJYZBHREREREQkIQzyiIiIiIiIJIRBHhERERERkYQwyCMiIiIiIpIQBnlEREREREQSwiCPiIiIiIhIQhjkERERERERSQiDPCIiIiIiIglhkEdERERERCQhDPKIiIiIiIgkhEEeERERERGRhHi7ugNkmhACAFBeXu7inhARERERkSvpYgJdjGAMgzw3V1FRAQBISEhwcU+IiIiIiMgdVFRUIDQ01OjjMtFWGEgupdVqkZeXh+DgYMhkMpf2pby8HAkJCcjOzkZISIhL+0LOwb+5Z+Hf2/Pwb+5Z+Pf2PPybS48QAhUVFYiNjYWXl/GVdxzJc3NeXl6Ij493dTdaCAkJ4Y3Cw/Bv7ln49/Y8/Jt7Fv69PQ//5tJiagRPh4lXiIiIiIiIJIRBHhERERERkYQwyCOzKRQKpKenQ6FQuLor5CT8m3sW/r09D//mnoV/b8/Dv7nnYuIVIiIiIiIiCeFIHhERERERkYQwyCMiIiIiIpIQBnlEREREREQSwiCPiIiIiIhIQhjkebCysjIsWLAAaWlpiImJQXR0NKKjo9GrVy/M+//27jsqqjP9A/h36FJFgnQp0qwEVCyIqLGhyGpEXUUUXWvCQVGD4gZx0Rjsx7WXrMa2nBxLjD3RBWOaLMQoNhQBpQ0YFVBA6v39sT/niMMMCBdG4fs5Z87R+973vs+dhynP3HvfO28e8vLy6txGUlIS/P394eDgIOtvZWUFT09P7N27F1VVVc2wJ1Rfjc15QUEBQkJCYG9vL+trbm4Oa2trDB48GL/88ksz7QnVlxiv89rcvn0bTk5OIkdLjdXYfJeVlWHVqlVwcXGp8Ro3NzeHo6MjPv/8c7x8+bKZ9obqIsbrOy4uDj4+PrC2tpb1t7CwQOfOnbFx40ZUVlY2w55QQ7148QKjRo3Cnj17lK5XWlqKL7/8Eu7u7rC0tJTl2tnZGYGBgXjw4EEzRUzNhUVeK1VVVYWPPvoIenp6iI+PR05ODqRSKaRSKX799Ve4urrCy8sLJSUlCreRlJSE8ePHY+7cubhz546sf2ZmJg4ePIjTp09jyZIlzbhXpIwYOQ8LC4OmpiZu3rwp6yuVSvHo0SNER0cjMDAQOTk5zbhXpIwYOa9NUVERxo8fj7S0tCaKnBpCjHyvWbMG169fx88//1zjNS6VSvHf//4X6enpWLVqVTPuFSkiRr7T0tIQHByMmJgYZGZmyvrn5uYiPj4eV65cwY4dO5pxr+htFBUVwdfXF7du3UJxcbHSdSdNmoRHjx7h9OnTyM7OluX62rVrGD58OAYNGsTP7xaGt1BopY4ePYp///vfOHbsmMJ1QkNDYW9vj7CwsFrb/fz8MGfOHIwePbrW9uLiYnTu3BkJCQkwMzMTJW5qODFybmFhgbS0NLRp06bW9oiICHTo0AHz5s0TJWZqHDFy/iZBEBAQEIBevXohJiYGBQUFIkVLjSVGvp2dnREfHw9LS8ta2zMzMzFq1CjcuHFDlJip4cTI9+bNm/HkyRNER0fX2p6amorAwEBcvXpVlJhJPKWlpRg0aBBGjhyJ6upqtG3bFgsWLKh13cTERMydOxcJCQlQU6v9+M7GjRvx8OFDbN68uQmjpubEI3mtVHJyMgYNGqR0nSFDhiA5ObnB29DT00OPHj2QkpLS4DhJPGLkPDw8XGGBBwA2NjbIzMxscIwkLjFy/qb169ejoqIC4eHhjQ2PRCZGvvPy8mBhYaGw3crKCr17925wjCQeMfKdn5+vsKAHAGtra76nv6MEQcDChQuxfPnyOtdNTk7GwIEDFRZ4wNt/FtC7j0VeK5WVlaX0gxwALC0t8ejRI4XthYWF0NfXb9Q2qPmIkfO6jvbcvHkTjo6ODYqPxCdGzl8XFxeHvXv34sCBA0q/LJBqiJFviUQCiUSisF1NTa3Oa3+oeYiR786dOyst4jIzM+Hg4NDgGKnp6OrqYsKECfVaV+zPAno/8FO6laqqqoK6urrSdTQ0NBp9wbUY2yBxNHXOv/vuO5w/fx5jx45tUH8Sn5g5z8rKQnBwMGJjY9G2bVuRIiQxiZXvn3/+GWPGjEHHjh1rTKjVu3dv7Nixg+/p7wgx8j1kyBB88803uHjxIsrLy2u0PX78GEuWLIG3t7co8ZLqNNd3Pnq3aKg6ACJ6vz179gxhYWG4cuUKvv32WxgbG6s6JBJZeXk5xo8fj6ioKLi7u6s6HGpCpaWl2LRpE2JiYuDk5CT7YlhVVYUHDx5gwYIFKCoq4qRaLYSZmRn+9re/YejQodDQ0EC7du0gkUhQVlaGgoIC9O3bFwcOHFB1mETUADySRwCAlJQUODg44N69ew3eRkxMDPz9/UWMippSY3MuCAJiY2Ph5uYGY2Nj/P777+jevbvIUZKYGprzsLAwdO3aFTNmzGiiyKgpNCTf5eXlWLduHVxdXWv88q+urg5nZ2fs27cP27dvb4pwqZEaku/Dhw/j9OnTSE5ORmlpKfLy8iCVSvH06VNkZ2fDzc0Nhw8fbsKoSRUKCwvh6OiI+Ph4VYdCTYhH8ggA4OLi0ujp0JcuXSpSNNQcGpPzzMxMBAcHQxAEnDt3Dl26dBE5OmoKDcn5gQMH8Ouvv/IeiO+hhuRbW1sbdnZ2CtvNzMxQVlaGsrIyaGtrNzJCElND8r1x40YcOHBA7j1cIpHA0tISmzdvRrdu3TB16lSlk27R+8XIyAipqamqDoOaGI/ktVL1Ofe6srISGhqN+x1AjG2QOMTKeUJCAgYMGICJEyfi0qVLLPDeYY3N+fXr1xEREYGjR49CR0enKUIkEYnxGtfR0VE68cqrdUpLSxsUI4lHjHynpqaiU6dOCtu1tLRgaWnJWbLfc831nY/eLcxmK2VtbQ2pVKp0nZycHHTo0EFhe9u2bfHixQulM2zWtQ1qPmLkvKCgAB9//DFiY2PRv39/sUMkkTU259u3b0dxcTH69etXa3thYSHMzc2xbt06BAUFNTpeahwxXuMaGhoQBEFpoffy5UsW/e8AMfKtqalZ5zgSiYQTcrznrK2tcfPmTaXr8Ptay8Mjea1Ut27dcOnSJaXrXLp0Cd26dWvwNoqLi5GUlAQXF5cGx0niESPnGzZswOTJk1ngvScam/Ndu3ahoKAAUqm01oeRkRGkUikLvHeEGK9xCwsLZGVlKWx/8uQJNDU1WeS9A8TIt42NDe7fv6+wvbKyEvfu3YO9vX2D4yTV69atG+Li4lBdXa1wnbr+Vuj9wyKvlRozZgyysrIQFRWFJ0+eQBAEWVtRURG2bNmCM2fOYPbs2Qq3ER0djQULFuDMmTMoKyuTLa+urkZqaiqmTJmCgIAAmJmZNem+UP2IkfOkpCSMGjWqOcIlEYiRc3p/iJHvefPm4ZNPPkF2drZcm1QqxezZszFz5swmiZ/ejhj5DgkJwaefflrr/dGeP3+O8PBw9O3bFyYmJk2yD9Q8evToAVtbW8ybNw/Z2dk1/lZKSkpw6NAhbNq0ibPmtjAs8lopdXV1XLx4EaWlpfDx8YGlpaXsfkienp64efMmfvrpJ+jp6QEA4uPj4ejoiKKiItk23N3dcfz4cezatQudOnWS9be2tsakSZPg6+uLtWvXqmoX6Q1i5Pzp06cICAiQ9avtERgYqKpdpDeIkXNlrKysmjJ8ekti5HvOnDnw9fXFiBEjavS3sLDAoEGD4OnpiYiICFXtIr1GjHxPnz4dEyZMgJ+fHywsLGq8l7u7u0MQBOzZs0dVu0j1ZGhoCAMDA9n//f39ERMTU2OdI0eOwM7ODqNGjarxt+Lm5oazZ88iLi4OlpaWzR06NSGJ8Ho5T0RERERERO81HskjIiIiIiJqQVjkERERERERtSAs8oiIiIiIiFoQFnlEREREREQtCIs8IiIiIiKiFoRFHhERERERUQvCIo+IiIiIiKgFYZFHRERERETUgrDIIyIiIiKiVu/FixcYNWoU9uzZ06zj7tu3D/r6+jA3N1f4cHJyQkVFRb23ySKPiIhIJBUVFXj58qWqw2g1vv/+ezg4OKC6urrR26qsrERJSYkIURHR+6ioqAi+vr64desWiouLm3XswsJCLF68GFKpVOHj/v370NTUrPc2WeQREVG9HT58GBKJ5K0fq1evlm1j+vTp0NbWxtmzZ1W4J+L6+uuv0aVLF+jq6mLcuHGqDqfVyMnJQXp6uihF3vLly6Gvrw9HR0d88cUXomyTiN4PpaWlGDZsGIYOHYrg4GBVhyMKDVUHQERE74/Bgwdj69atEAShxvLHjx8jOjoaoaGhcHJykus3bNgw2b8vX76M8vJyJCYmYuTIkU0ec1NbuXIlli9fjqCgIISGhmLw4MGqDokaYP78+XB2dkZSUhKioqJw7949fP3116oOi4iagSAIWLhwISZMmIAVK1aoOhxRsMgjIqJ6s7CwwKeffiq3PDU1FdHR0Rg7diwGDhyodBvBwcE4duxYjcLvfVVYWIh169Zh8+bNCA0NVXU41AhmZmYIDg5GcHAwhg0bhr/85S+IjIyEo6OjqkMjoiamq6uLCRMmKGxPTExEZGQkbt++jbKyMgCARCJBu3btEBwcjPnz50NLS6u5wq0Xnq5JRETNavny5bh+/Tr69Omj6lAa7dSpU9DQ0MCsWbNUHQqJyM/PD66uroiNjVV1KESkYjk5OZg8eTL+/ve/Iz09XXaNXG5uLi5evIirV68iJiam0eP88ccfmDRpElxdXWWTrVhYWMDDwwMrV65862uGWeQRERE1UGZmJrp27Yo2bdqoOhQSkUQiQY8ePZCVlaXqUIhIxY4cOYJZs2ahf//+UFOrWTpZWFhg27ZtOHToUI3lc+fORdu2bRU+PvjgA6SmpsrWd3R0RG5uLgICAnDlyhXk5uZCKpUiJycHp06dQkZGBsLCwt4qbhZ5RETUrC5evIiOHTvWOrGFo6MjLly4gAMHDsDNzQ06OjqQSCQwMTHBmDFjZB+K58+fR79+/WBgYACJRAIjIyP06tVL6ZEXQRDw7bffYuDAgbC2tpZNCqOpqQlnZ2cEBATgzp07b7UvOTk5MDU1VdheVlYmO+VPXV29xmQ06urqsLW1RUREhMJpsV+8eIGIiAh4eHjA0NBQ1tfIyAg9e/ZEZGQkSktLFY7//PlzLF26FB4eHjAyMpL119XVhaOjI8LCwvDnn3/W2jcvLw9z5sxBt27doKurK+trYmKCXr16YfXq1bLTlt4UFRWFoKAgVFRUYOvWrfDy8oKJiQkkEgkMDQ3h4eGBJUuW4Pnz5wpjLy8vx5o1a9C7d29Z3zcf06dPr7VvdXU1Nm/eDFdXV2hpacn1s7Kywty5c1FUVKRwfFNTU+Tk5ChsJ6LWIS0tDfb29grb27dvj8ePH9dYtnPnThQUFCh8/PnnnzVOBffz88PVq1cxbtw4mJqaQiKRAIDs/Wr79u04ceIEysvL6x03r8kjIqJmlZWVhbS0NFRXV8v9KvrgwQOsXr0aycnJmDx5MoKCgqClpYVHjx5h//798PHxwc6dOzF27Fj4+/tjxIgRMDY2RkFBAc6ePYtJkyahsrISU6ZMkRs3OjoaK1asgI+PD6ZNmwYzMzOoqamhoqIC2dnZOHXqFNzc3HDp0iV4e3vXa1+eP38OfX19he1r1qzB2rVrMWvWLDg5OUFdXV3WVl5ejt9//x3r16+HlpYW/vGPf9ToW1ZWhp49eyIjIwOTJ0/G+PHjYWBgIBs3NTUV69evx8mTJ5GUlCQ3tfar/llZWXL9nz17hjt37mD//v345Zdf8Ntvv8m+VABAfn4+OnfujOrqakyaNAlBQUHQ1dWFIAgoLCzE7du3sXz5cpw7dw4//vhjjb4A8PDhQ9y9exfDhw/HtWvXMHr0aAwZMgQmJiYoLi5GWloatm7dihMnTuDGjRvQ0dGp0V8QBIwYMQI//vgjJk6cCD8/P7Rt21ZunN9++w2HDx+We94PHTqEsLAwTJ06FXPmzKnx3FRVVSE5ORlHjhxBaWmpwslVDAwMlBaBRNQ6lJSUYObMmQgJCVG4zpvvYWLT1taGnZ0dMjIy4OzsXL9OAhERUSPdv39fACDExcXVue6+ffsEAEJFRYVcGwDB2NhYkEqlcm137twRJBKJoKamJuzbt0+uvbKyUvDy8hLc3Nzk2rKzswUdHR1h8eLFQnV1da1xlZWVCd7e3oKnp2ed+/DKtGnThGnTpilsd3R0FEJDQ5VuIyQkRHBycpJbvnHjRkFNTU34448/FPZNTk4W1NTUhO3bt8u1bdiwQdDU1BRSUlIU9r98+bIAQEhMTJSLSVEeXrl06ZIAQPjmm2/k2qZNmyYAECZOnCiUlpbW2j8lJUXQ0tIS1q1bJ9d2/PhxAYBw8eJFheMLguK/pSFDhgj+/v5K+65fv17Q1dUVysvLa22PiooSfHx8lG6DiFqeqKgoYdOmTbL/T5s2TTh+/LjqAvp/Pj4+wrVr1+q9Pk/XJCKid8qro2xvcnV1Ra9evWBiYoKpU6fKtaurqyMwMBC3bt2SOxX06tWrePnyJT777DO5o0GvaGlpITQ0FAkJCSgoKBBlXzIzM+v81TUkJAQzZ86UWx4fH4/hw4fDzc1NYd+uXbvC19cX33//vVzb5cuX4efnp3R8b29vrFmzBpaWlnJ9g4KCas3DK4MHD4a7uzsuX75ca3ubNm3w1VdfKfyF29nZGaNHj0Z8fLxcW3x8PD788EN89NFHCsdXpj7P+5QpUzB//nxoaPCkJiJSrE2bNnUe1f/pp58aNUZMTAxyc3OVrlNaWvpW13+zyCMioneKsmsfrK2tYWdnJ3ea5+vtlZWVctdHZGRkQE9PD+3bt1c6toODA4D/nW4ohnbt2tVZMLq4uCA8PFxueUZGhiweZRwcHJCRkSG3PD09HR06dFDaVyKRIDw8HBYWFjWWP3z4EHZ2dnWObW9vj/T09Frb3NzcoKenp7S/ra1trf0zMjJga2tb5/iK1Od5NzMzw+rVqxUW/UREwP/e55KTkxW25+fnY8aMGY0a49atW0hMTFTYXlFRUe/35Vf48xUREb1TdHV1Fba1adOmznYAcpORFBYWQl9fv87ZEl9NJPJmkdhQ3t7e2LNnD/r27YuOHTvWuCZPIpGgffv2ctfSvR6zmppanTGrq6vXGm9RUZHS6wWVKSoqkl2/p4yBgQHy8vIUxlWf/oWFhXLLCwsLYW1tXXegCnh7e2P37t3w9/dH165d5Z5jU1NTaGtrN3j7RNR6TJo0Cb169cKAAQMwcuTIGkf/Hz9+jMWLFyu9x159jB07FtHR0ejUqZPcvTkLCwsRGRkJX1/ft3rfYpFHREStQl5eHmxsbOq1rlgX0a9ZswZjxoxReNqhuro6vL29sX37dnTq1EmufcuWLdiyZUud43Ts2LHRsbYkS5cuxdWrV+Hv719ru0Qigbu7O7Zu3Yq+ffs2c3RE9C4zNDSs8SOXjY0NTp48ic8//xzz5s1DVVUVAEBNTQ2GhoaYMmUKli5d2qgxP/74YxQUFGDcuHF4/Pix7JIDiUQCfX19jBs3Dl988cVbbZNFHhERtQrt2rVTOJPi63R0dES7UbudnR0SExORkpKCR48eyb4cAP+b5j8vLw8bNmzAxIkTce3aNbmjXxMmTEBQUFCd4yg7xbU1MjY2RlxcHO7du4eMjIwat6gQBAFPnjyRzdJ6//79eh21JKLWYeHChXLLevfujR9++KFJx50xY0ajT/t8HYs8IiJq8V7dT8/Pz6/Zx9bQ0ECXLl3QpUuXWtvt7e0xdOhQZGRk1DgiZ2BgABsbmwbHbGhoiBcvXjSor76+fr36Pn/+HEZGRg0aQxkjI6N6jS8IgsI2iUQCFxcXuLi41Nrev39/ODk5ISEhocETvBARvas48QoREbV49vb2ePLkCUpKSpSul5ubC1tbW6SlpTV6zOLiYnz55Zd13rz21SmkUqm0xnJ7e3tkZmbWOc6OHTtqLQTt7e3rnEBGEARs3LhRbuxX92OqS3p6epMcRazv+Ddu3JBbJggC1q5diydPnijtq+h5JyJqCVjkERFRi+fp6QltbW1s27ZN6Xq7du1Cfn4+zM3NGz3m06dPsWzZMpw9e1bpevfv3wcAuYlGBgwYgFOnTiktdkpKSrBlyxZ88MEHcm0DBw7EmTNnkJKSorD/lStXsGjRImRnZ9dY7u3tjYMHDyI/P19h37i4OFy7dg0DBgxQuE5D+fj44Pr16/jPf/6jcJ0ffvgBe/fulVteUVGBqKgoHDx4UOkYip53IqKWgKdrEhFRi2dtbY0lS5YgPDwccXFxsvvtqampoaqqCoWFhbh69SrOnj2LZcuWKZ3B83UaGhpyM3m+YmNjgz59+mD27Nm4cOECXF1da1xzV11djfz8fHz11Vfo16+f3O0OQkJCsHv3bnTv3h2BgYGwtbWVzZZZVlYGqVSKkydPIicnB4cOHZIb/5NPPsGuXbvg4eGBwMBAODg4yPo/e/YMd+/exblz59CzZ094eHjU6BsVFYXY2Fi4urpi8uTJsLW1lc1cWlhYiLt37yI2NhZeXl4ICAio13P1NsaOHYuBAwdi+PDh+Otf/wpXV1cYGhqipKQEeXl5uHLlCpKSkjB69Gh89913NfpqaWlhzJgxiIyMxI0bN9C1a1doaWnJ2gVBwLNnz3Dw4EHY29vD09Oz1hgqKip4Dz0iem/x3YuIiBrNxMQElpaWcvdbq42VlRXs7e1rvdddx44dYWVlpbCvra2t0i/e5ubmaN++Pdq2bSvXtmLFCnTv3h3//Oc/sXfvXuTk5AD43wxppqamcHZ2xr59+zBt2rQ69+H18RISEhS2Hz16FJ999hlOnDhR660GLCwsMGjQIKxdu1bufm06OjpISkrCqlWrcOHCBRw+fBjPnz+XtVlYWMDLywuLFi3Chx9+KLdtbW1tJCYmyvrHxsbK9Q8KCkJkZKTc2GZmZrh9+zaWL1+OuLg4pKeny4pZY2NjODg4YMWKFVi0aFGteezQoQMqKyuVP3n4XyFc270AJRIJLly4gI0bN+LYsWM4c+YMnj17Bm1tbZiamsLLywvbtm1DQUEBkpOT5WLYuXMnli5dilOnTmH//v1y1+6ZmprC09MT69atU3hz4fz8/Hr9PRMRvYskgrKrlomIiEihHTt2YP369UhNTeVNtVuYwYMHw9PTEzExMaoOhYjorfGaPCIiogYaNGgQ0tPTcfHiRVWHQiK6d+8e4uPjMXjwYFWHQkTUIDySR0RE1AgTJkzA+fPnsXLlSvTp0wddu3aFnp6eqsOit1RRUYHk5GTcuHEDy5Ytg7m5OZKSkniElojeSyzyiIiIGqG4uBgLFy7E7t27AQC+vr51zqhJ756IiAjZqZl+fn7417/+BVNTUxVHRUTUMCzyiIiIRFBcXIyUlBQYGhrC0dFR1eHQW8rLy0NaWho6depU68Q9RETvExZ5RERERERELQgnXiEiIiIiImpBWOQRERERERG1ICzyiIiIiIiIWhAWeURERERERC0IizwiIiIiIqIWhEUeERERERFRC8Iij4iIiIiIqAVhkUdERERERNSC/B/jJ3Za30fMNAAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "final_compensated_signal = bias_tee_distort(pre_distorded_signal, decay)\n", "plt.figure()\n", "plt.title(\"Final output signal by the instrument after Bias-T\")\n", "plt.plot(x, final_compensated_signal, label=\"Final output after correction for Bias-T\")\n", "plt.axhline(0, c=\"red\", linestyle=\"--\")\n", "plt.xlabel(\"Time (seconds)\")\n", "plt.ylabel(\"Amplitude \")" ] }, { "cell_type": "markdown", "id": "a3fd2e13", "metadata": {}, "source": [ "Using this filter alone, one can also correct long-term decay. But this may clip the outputs, which is not recommended.\n", "Combining the Net-zero protocol with the Bias-T filter enables you to deliver the exact signal required for the QPU, without clipping the output." ] }, { "cell_type": "markdown", "id": "bc7f446e", "metadata": {}, "source": [ "To verify the pre-distortion with the real Bias-T, we initialize another schedule, `final_compensated_sched`.\n", "Here, we add the `pre_distorded_signal` using `NumericalPulse` from `quantify_scheduler.operations.pulse_library`. This allows us to play any arbitrary waveform." ] }, { "cell_type": "code", "execution_count": 15, "id": "53947466", "metadata": { "execution": { "iopub.execute_input": "2025-03-12T18:00:15.136552Z", "iopub.status.busy": "2025-03-12T18:00:15.136119Z", "iopub.status.idle": "2025-03-12T18:00:15.166806Z", "shell.execute_reply": "2025-03-12T18:00:15.166244Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/builds/qblox/packages/software/qblox_instruments_docs/.venv/lib/python3.9/site-packages/scipy/interpolate/_interpolate.py:712: RuntimeWarning: invalid value encountered in divide\n", " slope = (y_hi - y_lo) / (x_hi - x_lo)[:, None]\n" ] } ], "source": [ "# Initialize the final schedule with a single repetition\n", "final_compensated_sched = Schedule(\"final\", repetitions=int(1e6))\n", "t_x = (x * 1e9 // 4).astype(int) * 4 # sampling the time at 4 ns resolution\n", "\n", "# Add a NumericalPulse to the schedule with the pre-distorted signal\n", "final_compensated_sched.add(\n", " NumericalPulse(\n", " samples=pre_distorded_signal, # The pre-distorted signal waveform\n", " t_samples=t_x * 1e-9, # Time samples in seconds\n", " port=qubit.ports.gate(), # Port where the pulse is applied\n", " )\n", ")\n", "\n", "compiler = SerialCompiler(\"my_compiler\", quantum_device)\n", "# Compile the schedule for execution\n", "compiled_schedule = compiler.compile(final_compensated_sched)" ] }, { "cell_type": "code", "execution_count": 16, "id": "c574e9bd", "metadata": { "execution": { "iopub.execute_input": "2025-03-12T18:00:15.168654Z", "iopub.status.busy": "2025-03-12T18:00:15.168474Z", "iopub.status.idle": "2025-03-12T18:00:15.203775Z", "shell.execute_reply": "2025-03-12T18:00:15.202737Z" } }, "outputs": [], "source": [ "_ = run_schedule(compiled_schedule, quantum_device)" ] }, { "cell_type": "markdown", "id": "c6d141bd", "metadata": {}, "source": [ "#### Scope output\n", "\n", " \"image3\"\n", "\n", "\n", "As shown in the output above, the final waveform is free from distortion in both the short and long pulse regimes.\n", "\n", "If you want to try it with different Bias-T, make sure you change the time-constant variable `decay` accordingly in the above script." ] }, { "cell_type": "code", "execution_count": 17, "id": "07cd1eee", "metadata": { "execution": { "iopub.execute_input": "2025-03-12T18:00:15.206410Z", "iopub.status.busy": "2025-03-12T18:00:15.206044Z", "iopub.status.idle": "2025-03-12T18:00:15.211282Z", "shell.execute_reply": "2025-03-12T18:00:15.210650Z" } }, "outputs": [], "source": [ "instrument_coordinator.stop()" ] } ], "metadata": { "files_to_bundle_in_zip_file": [ "figures/Spin/net_zero/uncompensated_output.png", "configs/tuning_spin_coupled_pair_hardware_config.json", "devices/spin_device_2q.json", "figures/Banner.jpeg", "utils.py", "bias_tee_utils.py", "figures/Spin/net_zero/bias-T.png", "figures/Spin/net_zero/Net_zero.png", "figures/Spin/net_zero/final.png" ], "jupytext": { "notebook_metadata_filter": "files_to_bundle_in_zip_file" }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.20" } }, "nbformat": 4, "nbformat_minor": 5 }