{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "SzKwuqYESWwm" }, "source": [ "##### Copyright 2021 The Cirq Developers" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "cellView": "form", "execution": { "iopub.execute_input": "2025-05-30T10:15:27.219846Z", "iopub.status.busy": "2025-05-30T10:15:27.219309Z", "iopub.status.idle": "2025-05-30T10:15:27.223026Z", "shell.execute_reply": "2025-05-30T10:15:27.222474Z" }, "id": "4yPUsdJxSXFq" }, "outputs": [], "source": [ "# @title Licensed under the Apache License, Version 2.0 (the \"License\");\n", "# you may not use this file except in compliance with the License.\n", "# You may obtain a copy of the License at\n", "#\n", "# https://www.apache.org/licenses/LICENSE-2.0\n", "#\n", "# Unless required by applicable law or agreed to in writing, software\n", "# distributed under the License is distributed on an \"AS IS\" BASIS,\n", "# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n", "# See the License for the specific language governing permissions and\n", "# limitations under the License." ] }, { "cell_type": "markdown", "metadata": { "id": "zC1qlUJoSXhm" }, "source": [ "\n", " \n", " \n", " \n", " \n", "
\n", " View on QuantumAI\n", " \n", " Run in Google Colab\n", " \n", " View source on GitHub\n", " \n", " Download notebook\n", "
" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2025-05-30T10:15:27.225758Z", "iopub.status.busy": "2025-05-30T10:15:27.225228Z", "iopub.status.idle": "2025-05-30T10:15:40.340508Z", "shell.execute_reply": "2025-05-30T10:15:40.339664Z" }, "id": "bd9529db1c0b" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "installing cirq...\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\u001b[31mERROR: pip's dependency resolver does not currently take into account all the packages that are installed. This behaviour is the source of the following dependency conflicts.\r\n", "tensorflow-metadata 1.17.1 requires protobuf<4.22,>=4.21.6; python_version < \"3.11\", but you have protobuf 5.29.5 which is incompatible.\u001b[0m\u001b[31m\r\n", "\u001b[0m" ] }, { "name": "stdout", "output_type": "stream", "text": [ "installed cirq.\n" ] } ], "source": [ "try:\n", " import cirq\n", "except ImportError:\n", " print(\"installing cirq...\")\n", " !pip install --quiet cirq\n", " print(\"installed cirq.\")" ] }, { "cell_type": "markdown", "metadata": { "id": "dd95be2a71eb" }, "source": [ "# Parallel XEB\n", "This notebook demonstrates how to use the functionality in `cirq.experiments` to run parallel XEB end-to-end. \"Parallel\" means we characterize multiple pairs simultaneously." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2025-05-30T10:15:40.343827Z", "iopub.status.busy": "2025-05-30T10:15:40.343526Z", "iopub.status.idle": "2025-05-30T10:15:42.048004Z", "shell.execute_reply": "2025-05-30T10:15:42.047124Z" }, "id": "046b07823210" }, "outputs": [], "source": [ "import cirq\n", "import numpy as np\n", "\n", "%matplotlib inline\n", "from matplotlib import pyplot as plt" ] }, { "cell_type": "markdown", "metadata": { "id": "8bbaafb0ab88" }, "source": [ "# Parallel XEB with library functions\n", "The entire XEB workflow can be run by calling `cirq.experiments.parallel_two_qubit_xeb` and the combined single-qubit randomized benchmarking (RB) and XEB workflows can be run by calling `cirq.experiments.run_rb_and_xeb`." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2025-05-30T10:15:42.051692Z", "iopub.status.busy": "2025-05-30T10:15:42.051273Z", "iopub.status.idle": "2025-05-30T10:18:32.510285Z", "shell.execute_reply": "2025-05-30T10:18:32.508990Z" }, "id": "c62af7442068" }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\r", " 0%| | 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# The returned result is an instance of the `TwoQubitXEBResult` class which provides visualization methods like\n", "result.plot_heatmap()\n", "# plot the heatmap of XEB errors\n", "result.plot_fitted_exponential(*qubits[:2])\n", "# plot the fitted model of xeb error of a qubit pair.\n", "result.plot_histogram(); # plot a histogram of all xeb errors." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2025-05-30T10:18:33.138251Z", "iopub.status.busy": "2025-05-30T10:18:33.137983Z", "iopub.status.idle": "2025-05-30T10:18:33.143591Z", "shell.execute_reply": "2025-05-30T10:18:33.143005Z" }, "id": "a3a8a3603e46" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "pauli errors: {(cirq.GridQubit(4, 3), cirq.GridQubit(4, 4)): np.float64(0.019835896750389596), (cirq.GridQubit(4, 3), cirq.GridQubit(5, 3)): np.float64(0.019613922392582306), (cirq.GridQubit(4, 4), cirq.GridQubit(5, 4)): np.float64(0.020158079809996406), (cirq.GridQubit(5, 3), cirq.GridQubit(5, 4)): np.float64(0.019523058811304374), (cirq.GridQubit(5, 3), cirq.GridQubit(6, 3)): np.float64(0.019736423224559763), (cirq.GridQubit(5, 4), cirq.GridQubit(6, 4)): np.float64(0.019596043847401635), (cirq.GridQubit(6, 3), cirq.GridQubit(6, 4)): np.float64(0.019928119059041058)}\n", "xeb errors: 0.015868717400311705\n", "xeb fidelity: 0.9841312825996883\n" ] } ], "source": [ "# `TwoQubitXEBResult` also has methods to retrieve errors.\n", "print('pauli errors:', result.pauli_error())\n", "print('xeb errors:', result.xeb_error(*qubits[:2]))\n", "print('xeb fidelity:', result.xeb_fidelity(*qubits[:2]))" ] }, { "cell_type": "markdown", "metadata": { "id": "041c42d258ce" }, "source": [ "The `run_rb_and_xeb` method returns an object of type [InferredXEBResult](https://github.com/quantumlib/Cirq/blob/bc766606b94744f80da435c522d16a34529ae671/cirq-core/cirq/experiments/two_qubit_xeb.py#L188C7-L188C24) which is like [TwoQubitXEBResult](https://github.com/quantumlib/Cirq/blob/bc766606b94744f80da435c522d16a34529ae671/cirq-core/cirq/experiments/two_qubit_xeb.py#L56) except that it removes the single-qubit errors obtained from the single-qubit randomized benchmarking (RB) experiment to isolate the error from the two qubit gate." ] }, { "cell_type": "markdown", "metadata": { "id": "ace31cc4d258" }, "source": [ "# Step by step XEB\n", "The rest of this notebook explains how the `parallel_two_qubit_xeb` works internally. Note that the notebook uses `SQRT_ISWAP` as the entangling gate while `parallel_two_qubit_xeb` and `run_rb_and_xeb` default to `CZ`.\n", "\n", "## Set up Random Circuits\n", "\n", "We create a library of 10 random, two-qubit `circuits` using the sqrt(ISWAP) gate. These library circuits will be mixed-and-matched among all the pairs on the device we aim to characterize." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2025-05-30T10:18:33.146484Z", "iopub.status.busy": "2025-05-30T10:18:33.145921Z", "iopub.status.idle": "2025-05-30T10:18:33.268622Z", "shell.execute_reply": "2025-05-30T10:18:33.267887Z" }, "id": "6fa8a0266b7a" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "20\n" ] } ], "source": [ "from cirq.experiments import random_quantum_circuit_generation as rqcg\n", "\n", "circuit_library = rqcg.generate_library_of_2q_circuits(\n", " n_library_circuits=20, two_qubit_gate=cirq.ISWAP**0.5, random_state=52\n", ")\n", "print(len(circuit_library))" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2025-05-30T10:18:33.271443Z", "iopub.status.busy": "2025-05-30T10:18:33.270845Z", "iopub.status.idle": "2025-05-30T10:18:33.275472Z", "shell.execute_reply": "2025-05-30T10:18:33.274905Z" }, "id": "c7c044ec12ac" }, "outputs": [ { "data": { "text/plain": [ "array([ 3, 23, 43, 63, 83])" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# We will truncate to these lengths\n", "max_depth = 100\n", "cycle_depths = np.arange(3, max_depth, 20)\n", "cycle_depths" ] }, { "cell_type": "markdown", "metadata": { "id": "6fbec4054504" }, "source": [ "## Determine the device topology\n", "\n", "We will run on all pairs from a given device topology. Below, you can supply a `device_name` if you're authenticated to run on Google QCS. In that case, we will get the device object from the cloud endpoint and turn it into a graph of qubits. Otherwise, we mock a device graph by allocating arbitrary `cirq.GridQubit`s to turn into a graph." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2025-05-30T10:18:33.278342Z", "iopub.status.busy": "2025-05-30T10:18:33.277743Z", "iopub.status.idle": "2025-05-30T10:18:33.370304Z", "shell.execute_reply": "2025-05-30T10:18:33.369719Z" }, "id": "af1e12169e88" }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "device_name = None # change me!\n", "\n", "import cirq.contrib.routing as ccr\n", "import networkx as nx\n", "\n", "if device_name is None:\n", " qubits = cirq.GridQubit.rect(3, 2, 4, 3)\n", " # Delete one qubit from the rectangular arangement to\n", " # 1) make it irregular 2) simplify simulation.\n", " qubits = qubits[:-1]\n", " sampler = cirq.DensityMatrixSimulator(noise=cirq.depolarize(5e-3))\n", " graph = ccr.gridqubits_to_graph_device(qubits)\n", "else:\n", " import cirq_google as cg\n", "\n", " sampler = cg.get_engine_sampler(device_name, gate_set_name='sqrt_iswap')\n", " device = cg.get_engine_device(device_name)\n", " qubits = sorted(device.qubits)\n", " graph = ccr.gridqubits_to_graph_device(device.qubits)\n", "\n", "\n", "pos = {q: (q.row, q.col) for q in qubits}\n", "nx.draw_networkx(graph, pos=pos)" ] }, { "cell_type": "markdown", "metadata": { "id": "5d6f40acc7bf" }, "source": [ "## Set up our combinations\n", "We take the library of two-qubit circuits in `circuit_library` and mix-and-match to sampled in parallel.\n", "\n", "We will pass `combs_by_layer` and `circuit_library` to the sampling function which will \"zip\" the circuits according to these combinations. The outer list corresponds to the four `cirq.GridInteractionLayer`s (one of four for the degree-four GridQubit-implied graph). The inner `combinations` matrix is a `(n_combinations, n_pairs)` ndarray of integers which index into the circuit library." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2025-05-30T10:18:33.372799Z", "iopub.status.busy": "2025-05-30T10:18:33.372563Z", "iopub.status.idle": "2025-05-30T10:18:33.378136Z", "shell.execute_reply": "2025-05-30T10:18:33.377562Z" }, "id": "fbaf9c5c5335" }, "outputs": [ { "data": { "text/plain": [ "[CircuitLibraryCombination(layer=cirq.experiments.GridInteractionLayer(col_offset=0, vertical=True, stagger=True), combinations=array([[ 5, 16],\n", " [12, 9],\n", " [ 5, 18],\n", " [11, 3],\n", " [ 6, 9],\n", " [13, 3],\n", " [11, 6],\n", " [14, 12],\n", " [16, 10],\n", " [18, 15]]), pairs=[(cirq.GridQubit(4, 4), cirq.GridQubit(5, 4)), (cirq.GridQubit(5, 3), cirq.GridQubit(6, 3))]),\n", " CircuitLibraryCombination(layer=cirq.experiments.GridInteractionLayer(col_offset=1, vertical=True, stagger=True), combinations=array([[16],\n", " [ 3],\n", " [12],\n", " [ 0],\n", " [ 5],\n", " [ 5],\n", " [ 0],\n", " [ 7],\n", " [ 9],\n", " [12]]), pairs=[(cirq.GridQubit(4, 3), cirq.GridQubit(5, 3))]),\n", " CircuitLibraryCombination(layer=cirq.experiments.GridInteractionLayer(col_offset=1, vertical=False, stagger=True), combinations=array([[13],\n", " [ 8],\n", " [ 8],\n", " [13],\n", " [ 1],\n", " [11],\n", " [11],\n", " [ 8],\n", " [14],\n", " [14]]), pairs=[(cirq.GridQubit(4, 3), cirq.GridQubit(4, 4))]),\n", " CircuitLibraryCombination(layer=cirq.experiments.GridInteractionLayer(col_offset=0, vertical=False, stagger=True), combinations=array([[18],\n", " [16],\n", " [ 2],\n", " [ 6],\n", " [ 1],\n", " [ 9],\n", " [11],\n", " [ 1],\n", " [ 9],\n", " [ 6]]), pairs=[(cirq.GridQubit(5, 3), cirq.GridQubit(5, 4))])]" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "combs_by_layer = rqcg.get_random_combinations_for_device(\n", " n_library_circuits=len(circuit_library), n_combinations=10, device_graph=graph, random_state=53\n", ")\n", "combs_by_layer" ] }, { "cell_type": "markdown", "metadata": { "id": "d82866ff2269" }, "source": [ "### Visualize\n", "Here, we draw the four layers' active pairs." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2025-05-30T10:18:33.380946Z", "iopub.status.busy": "2025-05-30T10:18:33.380364Z", "iopub.status.idle": "2025-05-30T10:18:33.706876Z", "shell.execute_reply": "2025-05-30T10:18:33.706248Z" }, "id": "7ea374d2d337" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(2, 2, figsize=(9, 6))\n", "for comb_layer, ax in zip(combs_by_layer, axes.reshape(-1)):\n", " active_qubits = np.array(comb_layer.pairs).reshape(-1)\n", " colors = ['red' if q in active_qubits else 'blue' for q in graph.nodes]\n", " nx.draw_networkx(graph, pos=pos, node_color=colors, ax=ax)\n", " nx.draw_networkx_edges(\n", " graph, pos=pos, edgelist=comb_layer.pairs, width=3, edge_color='red', ax=ax\n", " )\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": { "id": "423f56a942f6" }, "source": [ "## Take Data\n", "\n", "The following call will execute the zipped circuits and sample bitstrings." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2025-05-30T10:18:33.709487Z", "iopub.status.busy": "2025-05-30T10:18:33.709211Z", "iopub.status.idle": "2025-05-30T10:19:20.001738Z", "shell.execute_reply": "2025-05-30T10:19:20.001024Z" }, "id": "aab08193f046" }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\r", " 0%| | 0/207 [00:00\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
sampled_probstimestamplayer_ipair_icombination_ipair
circuit_icycle_depth
643[0.1908, 0.2038, 0.395, 0.2104]1.748600e+09309(q(5, 3), q(5, 4))
823[0.1686, 0.1058, 0.2225, 0.5031]1.748600e+09202(q(4, 3), q(4, 4))
1263[0.3242, 0.2126, 0.2116, 0.2516]1.748600e+09102(q(4, 3), q(5, 3))
143[0.2169, 0.3563, 0.2237, 0.2031]1.748600e+09304(q(5, 3), q(5, 4))
43[0.2206, 0.3427, 0.2312, 0.2055]1.748600e+09204(q(4, 3), q(4, 4))
........................
643[0.1755, 0.2052, 0.399, 0.2203]1.748600e+09016(q(5, 3), q(6, 3))
1663[0.215, 0.2675, 0.2732, 0.2443]1.748600e+09301(q(5, 3), q(5, 4))
03[0.0835, 0.028, 0.3523, 0.5362]1.748600e+09103(q(4, 3), q(5, 3))
33[0.4863, 0.0375, 0.2906, 0.1856]1.748600e+09101(q(4, 3), q(5, 3))
1163[0.1843, 0.2343, 0.1915, 0.3899]1.748600e+09306(q(5, 3), q(5, 4))
\n", "

250 rows × 6 columns

\n", "" ], "text/plain": [ " sampled_probs timestamp \\\n", "circuit_i cycle_depth \n", "6 43 [0.1908, 0.2038, 0.395, 0.2104] 1.748600e+09 \n", "8 23 [0.1686, 0.1058, 0.2225, 0.5031] 1.748600e+09 \n", "12 63 [0.3242, 0.2126, 0.2116, 0.2516] 1.748600e+09 \n", "1 43 [0.2169, 0.3563, 0.2237, 0.2031] 1.748600e+09 \n", " 43 [0.2206, 0.3427, 0.2312, 0.2055] 1.748600e+09 \n", "... ... ... \n", "6 43 [0.1755, 0.2052, 0.399, 0.2203] 1.748600e+09 \n", "16 63 [0.215, 0.2675, 0.2732, 0.2443] 1.748600e+09 \n", "0 3 [0.0835, 0.028, 0.3523, 0.5362] 1.748600e+09 \n", "3 3 [0.4863, 0.0375, 0.2906, 0.1856] 1.748600e+09 \n", "11 63 [0.1843, 0.2343, 0.1915, 0.3899] 1.748600e+09 \n", "\n", " layer_i pair_i combination_i pair \n", "circuit_i cycle_depth \n", "6 43 3 0 9 (q(5, 3), q(5, 4)) \n", "8 23 2 0 2 (q(4, 3), q(4, 4)) \n", "12 63 1 0 2 (q(4, 3), q(5, 3)) \n", "1 43 3 0 4 (q(5, 3), q(5, 4)) \n", " 43 2 0 4 (q(4, 3), q(4, 4)) \n", "... ... ... ... ... \n", "6 43 0 1 6 (q(5, 3), q(6, 3)) \n", "16 63 3 0 1 (q(5, 3), q(5, 4)) \n", "0 3 1 0 3 (q(4, 3), q(5, 3)) \n", "3 3 1 0 1 (q(4, 3), q(5, 3)) \n", "11 63 3 0 6 (q(5, 3), q(5, 4)) \n", "\n", "[250 rows x 6 columns]" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from cirq.experiments.xeb_sampling import sample_2q_xeb_circuits\n", "\n", "sampled_df = sample_2q_xeb_circuits(\n", " sampler=sampler,\n", " circuits=circuit_library,\n", " cycle_depths=cycle_depths,\n", " combinations_by_layer=combs_by_layer,\n", " shuffle=np.random.RandomState(52),\n", " repetitions=10_000,\n", ")\n", "sampled_df" ] }, { "cell_type": "markdown", "metadata": { "id": "16b5a4a86384" }, "source": [ "## Benchmark Fidelities" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2025-05-30T10:19:20.004968Z", "iopub.status.busy": "2025-05-30T10:19:20.004454Z", "iopub.status.idle": "2025-05-30T10:19:20.904901Z", "shell.execute_reply": "2025-05-30T10:19:20.904249Z" }, "id": "8dd3ed7024ef" }, "outputs": [ { "data": { "text/html": [ "
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layer_ipair_icycle_depthfidelityfidelity_variancepair
00030.9372370.701181(q(4, 4), q(5, 4))
100230.6034870.581577(q(4, 4), q(5, 4))
200430.3908340.292390(q(4, 4), q(5, 4))
300630.2643110.160209(q(4, 4), q(5, 4))
400830.1707290.676077(q(4, 4), q(5, 4))
50130.9319190.570851(q(5, 3), q(6, 3))
601230.5993250.755982(q(5, 3), q(6, 3))
701430.3962640.196199(q(5, 3), q(6, 3))
801630.2528510.320547(q(5, 3), q(6, 3))
901830.1633500.560187(q(5, 3), q(6, 3))
101030.9229380.424083(q(4, 3), q(5, 3))
1110230.6099070.561789(q(4, 3), q(5, 3))
1210430.3963350.359155(q(4, 3), q(5, 3))
1310630.2613350.393341(q(4, 3), q(5, 3))
1410830.1685730.792990(q(4, 3), q(5, 3))
152030.9279260.555682(q(4, 3), q(4, 4))
1620230.6045540.421388(q(4, 3), q(4, 4))
1720430.3997520.260556(q(4, 3), q(4, 4))
1820630.2566150.217099(q(4, 3), q(4, 4))
1920830.1648660.399436(q(4, 3), q(4, 4))
203030.9371090.458101(q(5, 3), q(5, 4))
2130230.6039850.167178(q(5, 3), q(5, 4))
2230430.3962450.168471(q(5, 3), q(5, 4))
2330630.2549580.188476(q(5, 3), q(5, 4))
2430830.1683960.334439(q(5, 3), q(5, 4))
\n", "
" ], "text/plain": [ " layer_i pair_i cycle_depth fidelity fidelity_variance \\\n", "0 0 0 3 0.937237 0.701181 \n", "1 0 0 23 0.603487 0.581577 \n", "2 0 0 43 0.390834 0.292390 \n", "3 0 0 63 0.264311 0.160209 \n", "4 0 0 83 0.170729 0.676077 \n", "5 0 1 3 0.931919 0.570851 \n", "6 0 1 23 0.599325 0.755982 \n", "7 0 1 43 0.396264 0.196199 \n", "8 0 1 63 0.252851 0.320547 \n", "9 0 1 83 0.163350 0.560187 \n", "10 1 0 3 0.922938 0.424083 \n", "11 1 0 23 0.609907 0.561789 \n", "12 1 0 43 0.396335 0.359155 \n", "13 1 0 63 0.261335 0.393341 \n", "14 1 0 83 0.168573 0.792990 \n", "15 2 0 3 0.927926 0.555682 \n", "16 2 0 23 0.604554 0.421388 \n", "17 2 0 43 0.399752 0.260556 \n", "18 2 0 63 0.256615 0.217099 \n", "19 2 0 83 0.164866 0.399436 \n", "20 3 0 3 0.937109 0.458101 \n", "21 3 0 23 0.603985 0.167178 \n", "22 3 0 43 0.396245 0.168471 \n", "23 3 0 63 0.254958 0.188476 \n", "24 3 0 83 0.168396 0.334439 \n", "\n", " pair \n", "0 (q(4, 4), q(5, 4)) \n", "1 (q(4, 4), q(5, 4)) \n", "2 (q(4, 4), q(5, 4)) \n", "3 (q(4, 4), q(5, 4)) \n", "4 (q(4, 4), q(5, 4)) \n", "5 (q(5, 3), q(6, 3)) \n", "6 (q(5, 3), q(6, 3)) \n", "7 (q(5, 3), q(6, 3)) \n", "8 (q(5, 3), q(6, 3)) \n", "9 (q(5, 3), q(6, 3)) \n", "10 (q(4, 3), q(5, 3)) \n", "11 (q(4, 3), q(5, 3)) \n", "12 (q(4, 3), q(5, 3)) \n", "13 (q(4, 3), q(5, 3)) \n", "14 (q(4, 3), q(5, 3)) \n", "15 (q(4, 3), q(4, 4)) \n", "16 (q(4, 3), q(4, 4)) \n", "17 (q(4, 3), q(4, 4)) \n", "18 (q(4, 3), q(4, 4)) \n", "19 (q(4, 3), q(4, 4)) \n", "20 (q(5, 3), q(5, 4)) \n", "21 (q(5, 3), q(5, 4)) \n", "22 (q(5, 3), q(5, 4)) \n", "23 (q(5, 3), q(5, 4)) \n", "24 (q(5, 3), q(5, 4)) " ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from cirq.experiments.xeb_fitting import benchmark_2q_xeb_fidelities\n", "\n", "fids = benchmark_2q_xeb_fidelities(\n", " sampled_df=sampled_df, circuits=circuit_library, cycle_depths=cycle_depths\n", ")\n", "fids" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2025-05-30T10:19:20.907888Z", "iopub.status.busy": "2025-05-30T10:19:20.907257Z", "iopub.status.idle": "2025-05-30T10:19:20.925394Z", "shell.execute_reply": "2025-05-30T10:19:20.924811Z" }, "id": "05748707cacc" }, "outputs": [], "source": [ "from cirq.experiments.xeb_fitting import fit_exponential_decays, exponential_decay\n", "\n", "fidelities = fit_exponential_decays(fids)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "execution": { "iopub.execute_input": "2025-05-30T10:19:20.928110Z", "iopub.status.busy": "2025-05-30T10:19:20.927559Z", "iopub.status.idle": "2025-05-30T10:19:21.088420Z", "shell.execute_reply": "2025-05-30T10:19:21.087789Z" }, "id": "WJbgW4r1Guuf" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "heatmap_data = {}\n", "\n", "for (_, _, pair), fidelity in fidelities.layer_fid.items():\n", " heatmap_data[pair] = 1.0 - fidelity\n", "\n", "cirq.TwoQubitInteractionHeatmap(heatmap_data).plot();" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "execution": { "iopub.execute_input": "2025-05-30T10:19:21.091226Z", "iopub.status.busy": "2025-05-30T10:19:21.090982Z", "iopub.status.idle": "2025-05-30T10:19:21.522432Z", "shell.execute_reply": "2025-05-30T10:19:21.521731Z" }, "id": "a12f73217150" }, "outputs": [ { "data": { "image/png": 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F5O0Hd8yGcpXhyA+w4nGrE4mIiFxUocrIiRMncDgchISE5FofEhJCYmJinu/p168fzzzzDNdeey0+Pj7UrVuXTp06XfQwTWxsLEFBQTmP8PDwwsSUSrXh9ncAG2x5Hza/Z3UiERGRfJX41TRr1qzh+eef580332TLli18+umnLF++nGeffTbf94wdO5bk5OScx+HDh0s6ZtlzZQx0GW8ur3gcDuuwmIiIuCbvwgyuVq0aXl5eJCUl5VqflJREaGhonu8ZP348AwcO5L777gOgcePGnD17lvvvv59x48Zht1/Yh/z8/PDz8ytMNMnLtaPhyFZzuvj5A+GBtRCQ93YSERGxSqH2jPj6+tKyZUvi4uJy1jmdTuLi4oiOjs7zPWlpaRcUDi8vLwAM3dytZNlscMubUL0BnEmEBYMhO9PqVCIiIrkU+jDN6NGjmTlzJu+//z67du1i2LBhnD17liFDhgAwaNAgxo4dmzO+d+/eTJ8+nXnz5nHw4EFWr17N+PHj6d27d04pkRLkFwB3zgW/IDi8EVaNvfR7RERESlGhDtMA9O3bl+PHjzNhwgQSExNp1qwZK1euzDmp9dChQ7n2hDz99NPYbDaefvppfv/9d6pXr07v3r2ZPHly8f0r5OKq1oXbZ8LcvvD9OxDWDFoMtDqViIgIADbDDY6VpKSkEBQURHJyMoGBgVbHcV9rX4SvJ4OXLwxZCbVaWp1IRETKsIJ+f+veNJ6kw2NwVS9wZML8AXAm71lzRURESpPKiCex2+HWGVC1HqQegYV3gyPL6lQiIuLhVEY8jX+geUKrbwD8+i188bTViURExMOpjHii6vXhtrfM5U0zYOtH1uYRERGPpjLiqRr0go5PmsufjYTD31ubR0REPJbKiCfrOObPE1ozYF4/SP7N6kQiIuKBVEY8md0Ot70NwVfD2WNmIclMszqViIh4GJURT+dXEe76CMpXhaPbYPEwcP2pZ0REpAxRGRGoXAf6fgh2H9i52JwcTUREpJSojIipTju48VVzec3zsHOJtXlERMRjqIzIeS0GQduHzOVFD5qHbUREREqYyojk1vVZqNsFstLgo36QmmR1IhERKeNURiQ3L2/oMwuqXgkpv5n3sMnOsDqViIiUYSojcqFyleCu+eAfBL/Fm5Oi6QobEREpISojkrdqV8Ids8HmBds+gu9etzqRiIiUUSojkr+6naF7rLm8eiLsWmZtHhERKZNURuTiWt8Pre4BDPjkPvh9i9WJRESkjFEZkYuz2aDHS3BlDGSfg4/uhNOHrU4lIiJliMqIXJqXN/R5z7yHzZkkmNsX0lOsTiUiImWEyogUjH8g9JsPFUPg2A74eAg4sq1OJSIiZYDKiBRcpXC4ax54l4Ofv4TPn9AlvyIictlURqRwaraA298BbLD5Xdj4ptWJRETEzamMSOE1vBFueM5cXjUOdi+3No+IiLg1lREpmujhuS/5PfKD1YlERMRNqYxI0fz9kt+sNJh7JyT/ZnUqERFxQyojUnS5LvlNhDn/0iW/IiJSaCojcnn+ecnv/AGQnWl1KhERcSMqI3L5KoVD/4XgWxEOroUlw8HptDqViIi4CZURKR5hTeFfH4DdG35aAHH/Z3UiERFxEyojUnyu7AI3vWEuf/sabHrL2jwiIuIWVEakeDW7C7pMMJc/fxJ2LrE2j4iIuDyVESl+146GVvdizkEyFH7dYHUiERFxYSojUvxsNuj5EjS4ERwZ8NGdcHyP1alERMRFqYxIybB7mfewqdUa0k/Dh7dDylGrU4mIiAtSGZGS41POnIOk6pWQfBjm9NGkaCIicgGVESlZ5avAgE+gQjAkbdekaCIicgGVESl5lSNyT4q26AFwOqxOJSIiLkJlREpHjWbQ939g94Edn8KKx8AwrE4lIiIuQGVESk/dznDb24ANNs+Cr5+3OpGIiLgAlREpXVG3Qa9XzOVvXoSN063NIyIillMZkdJ3zb3Q+WlzeeUY2Dbf2jwiImIplRGxRofHoO1D5vLiYbB3lbV5RETEMiojYg2bDW6YDE3uBMMBCwbBr99ZnUpERCygMiLWsdvh5jegfnfIToe5d0LiT1anEhGRUqYyItby8oE7ZkPtdpCRDP+7DU4dsDqViIiUIpURsZ5PObjrIwhpDGePwQe3QGqi1alERKSUqIyIayhXyZw2vnIknP4VPrgZzp60OpWIiJQClRFxHQEhMGgxBNSA47vhf7fAudMWhxIRkZKmMiKupXIEDF4KFapD4o8w5w7IOGN1KhERKUEqI+J6qtWDgYvBvxL8Fg8f3QlZ56xOJSIiJURlRFxTaBQM/BR8A+CXdeY8JNmZVqcSEZESoDIirqtmS+i/ALzLwb4v4JN7wZFtdSoRESlmKiPi2uq0g7vmgpcv7FoKS4aD02l1KhERKUYqI+L66naGO94Hmxf8OA+WjwbDsDqViIgUE5URcQ8NesJtbwM2SHgPVo1TIRERKSNURsR9NO5j3ssGYOM0+Oo5FRIRkTJAZUTcS/MB0OMlc3ndy7BmirV5RETksqmMiPtpcz90e95cXjtFhURExM2pjIh7ih4ONzxnLq+JhbUvWZtHRESKTGVE3Fe7hyFmkrn89XPwzcvW5hERkSJRGRH3du0o6DLRXP7qWVj3qqVxRESk8FRGxP11GA2dx5vLcZNg/VRL44iISOGojEjZcN1jcP3T5vKXE+G7/1qbR0RECkxlRMqOjo9Dp7Hm8hdPw4Zp1uYREZECURmRsqXTGOj4pLm86inY8Ka1eURE5JJURqTs6TQWrnvcXF41Fr59zdo8IiJyUSojUvbYbHD9OLjuCfP56gmah0RExIWpjEjZZLNB53HnT2r9+jn4arLuZSMi4oK8rQ4gUqI6Pg7evubekW9e5PeTp9l85UiCA8vROrIKXnab1QlFRDye9oxI2dd+JLuaPgVAzR1vc/KTf3PXzA1c+8JXrNx+1OJwIiJSpDIybdo0IiIi8Pf3p02bNsTHx190/OnTpxk+fDhhYWH4+flRv359VqxYUaTAIoW1cvtRem6K4qmsewG4x3slz3q/R1JyGsM+3KJCIiJisUKXkfnz5zN69GgmTpzIli1baNq0Kd26dePYsWN5js/MzKRr16788ssvfPzxx+zZs4eZM2dSs2bNyw4vcikOp8Gkz3ZiAHMdXXg8636cho2B3l8S6/0OdpxM+mwnDqfOJRERsUqhzxl59dVXGTp0KEOGDAFgxowZLF++nFmzZjFmzJgLxs+aNYtTp07x3Xff4ePjA0BERMTlpRYpoPiDpzianJ7zfKGjE1mGN6/4TKev9xp8bNk8nvwA8QdPEV23qoVJRUQ8V6H2jGRmZpKQkEBMTMz5H2C3ExMTw4YNG/J8z9KlS4mOjmb48OGEhIQQFRXF888/j8PhyPf3ZGRkkJKSkushUhTHUtMvWLfYeS2PZD1MtmHnNq/1vOYzjePJqRakExERKGQZOXHiBA6Hg5CQkFzrQ0JCSExMzPM9Bw4c4OOPP8bhcLBixQrGjx/PK6+8wnPPPZfv74mNjSUoKCjnER4eXpiYIjmCA/zzXL/c2ZaHskaSaXhxo9dGOiSMgqxzpRtORESAUriaxul0EhwczNtvv03Lli3p27cv48aNY8aMGfm+Z+zYsSQnJ+c8Dh8+XNIxpYxqHVmFsCB/8rqA9wvnNdyf9W/S8aXy71/Dh30gXXvhRERKW6HKSLVq1fDy8iIpKSnX+qSkJEJDQ/N8T1hYGPXr18fLyytnXcOGDUlMTCQzMzPP9/j5+REYGJjrIVIUXnYbE3s3ArigkNiAtc5mbOs4C/wC4df18MFNcPZkqecUEfFkhSojvr6+tGzZkri4uJx1TqeTuLg4oqOj83xP+/bt+fnnn3E6nTnr9u7dS1hYGL6+vkWMLVJw3aPCmD6gBaFBuQ/ZhAb5M31AC9pc3xsGfwblq8KRH2B2T0g5YlFaERHPYzOMws2PPX/+fAYPHsxbb71F69atmTp1KgsWLGD37t2EhIQwaNAgatasSWxsLACHDx/m6quvZvDgwTz88MPs27ePe+65h0ceeYRx48YV6HempKQQFBREcnKy9pJIkTmcBvEHT3EsNZ3gAP8LZ2A9vgc+uAVSj0ClOjBoCVSJtCyviIi7K+j3d6Ev7e3bty/Hjx9nwoQJJCYm0qxZM1auXJlzUuuhQ4ew28/vcAkPD2fVqlU8+uijNGnShJo1azJy5EiefPLJIvyzRIrOy267+OW71a+Ce1bCBzfDHwdhVncYuAhCGpVeSBERD1ToPSNW0J4RKVWpifC/W+HYTihXGfp/ArVaWp1KRMTtFPT7W/emEfmngFC4eznUbAnn/jBPaj34jdWpRETKLJURkbyUr2KeMxJ5HWSeMS/73bXM6lQiImWSyohIfvwCoN9CuKonODJgwUBImG11KhGRMkdlRORifPzhX/+D5gPAcMJnI2Hti+D6p1qJiLgNlRGRS/HyhpvegA7/Np9/PRlWPAbO/O+vJCIiBacyIlIQNht0mQA9XgRs8P078PEQyLrwRnwiIlI4KiMihdHmAegzC7x8YecSmNMH0pOtTiUi4tZURkQKK+o26P8x+AbAL+vgvV7m3CQiIlIkKiMiRXFFRxiyHCoEQ9JP8G5XOLnf6lQiIm5JZUSkqMKawr1fQOVIOH3ILCS/JVidSkTE7aiMiFyOKpFmIQlrCmknYXYv2L3C6lQiIm5FZUTkclUMNqePvzIGss/B/P4QP9PqVCIibkNlRKQ4+AXAXfOgxSBzcrQVj8GqceB0Wp1MRMTlqYyIFBcvH+j9OnQebz7f8AZ8fDdknbM0loiIq1MZESlONhtc9xjc9g7Yfcy5SD64Gc6etDqZiIjLUhkRKQlN7oCBi8A/CA5vMq+0OXXA6lQiIi5JZUSkpER2gHu+gKDacGo/vBMDh7+3OpWIiMtRGREpScEN4L4vIayZeenv+zeah25ERCSHyohISQsIMS/9rd8dstNhwSBY9woYhtXJRERcgsqISGnwqwh950DrB8zncc/A4mGQnWFtLhERF6AyIlJavLyh54vQ82WwecG2j+D9m+DsCauTiYhYSmVEpLS1HgoDPga/IDi8EWZ2hmO7rE4lImIZlRERK9TtbJ7YWjkSTv8K794A+760OpWIiCVURkSsUr0+DP0K6rSHjBSYewdseksntoqIx1EZEbFS+SowcDE0H2De0+bzJ2D5v8GRZXUyEZFSozIiYjVvX7jpDej6DGCDze/CnD6QdsrqZCIipUJlRMQV2GzQfiTcORd8KsCBNTDzekjaaXUyEZESpzIi4koa9IR7v4BKteGPX8wp5Hd9ZnUqEZESpTIi4mpCo2DoGoi8DrLOwvwBsGYKOJ1WJxMRKREqIyKuqEJVGLAI2gwzn6+JhQUDISPV2lwiIiVAZUTEVXl5Q48pcPM08PKF3cvgna5w6oDVyUREipXKiIiraz4A7l4BFUPh+C54+3rY/7XVqUREio3KiIg7CL8G7l8DNVtC+mn48Db47g1NkCYiZYLKiIi7CAwz95A07WdOkPbFOPjkPsg8a3UyEZHLojIi4k58/OGWN6H7C2D3hu0fm5f/ntxvdTIRkSJTGRFxNzYbtH0QBn8GFUPg2E54uxPsXm51MhGRIlEZEXFXddrBA99A7WjzRnvz+sGXk8DpsDqZiEihqIyIuLOAUHMPyV/zkax/1Ty59exJa3OJiBSCyoiIu/PyMecjuf1d8Clv3tfm7Y7we4LVyURECkRlRKSsaNwH7ouDKnUh+TDM6g4Js61OJSJySSojImVJSCO4/2u4qhc4MuGzkbBomC7/FRGXpjIiUtb4B0HfD6HLBLDZYdtcmNkZju22OpmISJ5URkTKIrsdOvz7z8t/Q+H4bph5PWybZ3UyEZELqIyIlGUR18KD6+CKTpCVBosegCUjIOuc1clERHKojIiUdRWDYcCn0GksYIMf/mfO2nriZ6uTiYgAKiMinsHuBZ3GwKDFUKE6JG03L//96WOrk4mIqIyIeJQrOsGD6yGiA2SegU/uhWWPQla61clExIOpjIh4moBQGLgYrnscsMHmWfBOFzi+x+pkIuKhVEZEPJGXN3R+GgZ8AuWr/XnYphNs+QAMw+p0IuJhVEZEPNmVXWDYd3DF9ebVNksfho+HwLnTVicTEQ+iMiLi6QJCzKttuj4Ddm/YsQhmdIBDm6xOJiIeQmVERMxJ0tqPhHu+gMoRkHwI3usB37wETofV6USkjFMZEZHzarWEB9ZB4zvAcMBXz8EHN0PKEauTiUgZpjIiIrn5B8JtM+GW6eBTAX5ZB9Pbw+4VVicTkTJKZURELmSzQbN+8MA3ENoEzp2CeXfB0kcg44zV6USkjFEZEZH8VbsS7vsSokcANtjyPrzVAX7bbHUyESlDVEZE5OK8/aDbZBi8FAJrwqkD8O4N8HUsOLKtTiciZYDKiIgUTOR1MOxbiOpjnty6dgrM6gYn91udTETcnMqIiBRcucrQ51247R3wC4LfN8OMayFhtmZuFZEiUxkRkcJrcoe5lySigzlz62cjYV4/OHPc6mQi4oZURkSkaCqFw6Cl0PVZsPvAnhXwZlvYudTqZCLiZlRGRKTo7HZo/wjc/zUEN4K0E7BgIHwyFM79YXU6EXETKiMicvlCG8P9a+DaR8Fmh58WwLS2sPcLq5OJiBtQGRGR4uHtBzH/Z97fpuqVcCYR5t4BS4ZDeorV6UTEhamMiEjxCr/GvL9N24cAG/zwIUxvBwfWWJ1MRFyUyoiIFD/f8tA9Fu5eDpXqQPJh84Z7y/+t6eRF5AIqIyJSciLaw7DvoNW95vPv34EZ7eHgN9bmEhGXojIiIiXLryLc+CoMXASBteCPX+D93ubcJOnJVqcTERegMiIipaNuZ3hoA7QcYj5PmP3nFTerLI0lItZTGRGR0uMfCL2nwuDPoHIkpB6Buf8y5yVJO2V1OhGxSJHKyLRp04iIiMDf3582bdoQHx9foPfNmzcPm83GLbfcUpRfKyJlReR15rkk0SP+Ni9Ja9ixSPe4EfFAhS4j8+fPZ/To0UycOJEtW7bQtGlTunXrxrFjxy76vl9++YXHHnuMDh06FDmsiJQhvuWh22S4dzVUbwBnj8PCu2H+AEhNtDqdiJSiQpeRV199laFDhzJkyBAaNWrEjBkzKF++PLNmzcr3PQ6Hg/79+zNp0iSuuOKKywosImVMrVbwwDdw3RNg94bdy8y9JAnv43A42LD/JEu2/s6G/SdxOLXXRKQs8i7M4MzMTBISEhg7dmzOOrvdTkxMDBs2bMj3fc888wzBwcHce++9rFu37pK/JyMjg4yMjJznKSmavVGkTPP2g87joNHN5oytR7fCZ4/w47IZPJ0+hP1GTQDCgvyZ2LsR3aPCrM0rIsWqUHtGTpw4gcPhICQkJNf6kJAQEhPz3q26fv163n33XWbOnFng3xMbG0tQUFDOIzw8vDAxRcRdhUbBfXHsbvIkaYYfzY2dfO47hke9P8aPTBKT0xn24RZWbj9qdVIRKUYlejVNamoqAwcOZObMmVSrVq3A7xs7dizJyck5j8OHD5dgShFxJQ6bF0P2tOGGzBf5ytEMX5uDkd6fssJ3LG3sOwGY9NlOHbIRKUMKdZimWrVqeHl5kZSUlGt9UlISoaGhF4zfv38/v/zyC717985Z53Q6zV/s7c2ePXuoW7fuBe/z8/PDz8+vMNFEpIyIP3iKo8npQHXuyXqcXo5NTPT5gLr2o8zzfY4F2R15Prkf8QdPEV23qtVxRaQYFGrPiK+vLy1btiQuLi5nndPpJC4ujujo6AvGN2jQgJ9++omtW7fmPG666Sauv/56tm7dqsMvInKBY6npf3tmY7mzLTEZLzEnuwsA//JeS5zfY/juXKDLgEXKiELtGQEYPXo0gwcPplWrVrRu3ZqpU6dy9uxZhgwxZ1UcNGgQNWvWJDY2Fn9/f6KionK9v1KlSgAXrBcRAQgO8L9gXQoVGJd9L586riXW5x3q23+nasIYOLUCer4M1a+yIKmIFJdCl5G+ffty/PhxJkyYQGJiIs2aNWPlypU5J7UeOnQIu10Tu4pI0bSOrEJYkD+Jyen8c79HgnEVN2bGMrrCSh6wfYrt4DcwvT20GwHXPQ6+FSzJLCKXx2YYrr+fMyUlhaCgIJKTkwkMDLQ6joiUsJXbjzLswy0AuQqJ7c//nD6gBd1rpMPnT8K+P+9tExQO3adAg15gsyEi1ivo97d2YYiIy+keFcb0AS0IDcp9yCY0yN8sIlFhUCUS+s2HO+dCUG1IPgzz+5v3ujl10KLkIlIU2jMiIi7L4TSIP3iKY6npBAf40zqyCl72PPZ6ZKbBupfh29fBmQVeftDh39B+JPhceA6KiJSOgn5/q4yISNlxfC+seAwOrjWfV46Eni9Bva7W5hLxUDpMIyKep3p9GLQE+syCiqHwx0GY0wfm9oWT+61OJyL5UBkRkbLFZoOo22HE9xA9wrz53t6V8GZbWD0RMlKtTigi/6AyIiJlk38gdJsMwzZA3S7gyIRvp8J/W8G2+ZowTcSFqIyISNlWvT4M+ATummeeQ3ImERbdD+/eAL9vsTqdiKAyIiKewGaDq3rA8E3QZSL4VIDf4mFmZ1gyAs4ctzqhiEdTGRERz+HtBx1Gw8ObofG/AAN++B/8twWsnwrZGVYnFPFIKiMi4nkCa8DtM+GeVRDWFDJS4MuJ8MY1sGORzicRKWUqIyLiuWq3haFr4JbpEBAGp3+FhXfDrO7wW4LV6UQ8hsqIiHg2ux2a9YOHE6DjGPAuB4c3wjud4ZOhkPyb1QlFyjyVERERMO/4e/1YeGQLNO1nrvtpgXkp8FeTIeOMtflEyjCVERGRvwusAbdOh/vXQJ32kH0OvnnRPMl18yxwZFudUKTMURkREclLjeZw93Lo++Gf85MkwbJHYXo07Fqmk1xFipHKiIhIfmw2aNgbhsdDjxehfFU4sRfm94dZ3eDQJqsTipQJKiMiIpfi7QttHoBHtkKHx/48yXUTzLoB5vWHE/usTiji1lRGREQKyj8Quow3T3JtMQhsdti9DKa1gc9GQWqi1QlF3JLKiIhIYQXWgJv+a96E76qeYDgg4T14vTnEPQPnTludUMStqIyIiBRVcAO46yMY8jnUbAVZabDuFXitCax7FTLPWp1QxC2ojIiIXK467eC+L6HvHKjeENKTIW4SvNYMNr0N2ZlWJxRxaSojIiLFwWaDhjfCsG/h1regUh04eww+fxzeaAlb54LTYXVKEZekMiIiUpzsXtD0ThixGXq9AhVD4fQhWDwM3oyGnUs0R4nIP6iMiIiUBG9fuOY+eOQH6PoMlKsMJ/bAgkHw1nWwe4VKicifVEZEREqSb3loPxJGboPrngDfipD4I8y7C2ZeD3tXqZSIx1MZEREpDf5B0HkcjPwR2o8Cnwpw5AeY+y94pwvs+1KlRDyWyoiISGmqUBW6ToJRP0K7R8zZXH9PgDm3w7s3wP6vVErE46iMiIhYoUI1uOFZs5REjwBvf/gtHv53K8zqDvu/VikRj2EzDNf/X3tKSgpBQUEkJycTGBhodRwRkeKXmgjrp8LmWeDIMNfVusY8z6ReV/PSYRE3U9Dvb5URERFXknLELCVb3ofsdHNdWDO47nFz6nm7dmiL+1AZERFxZ6lJ8N3r5p6SrDRzXfDVcN1j0Ohmcz4TERenMiIiUhacPQEbpkH8TMhMNddVqw8dHoOo28HL29p8IhehMiIiUpac+wM2vQUb3zTvfQNQORLaPwJN+4GPv7X5RPKgMiIiUhalp8D3M829JWknzXUVQ6DtQ9DqHvDXZ6S4DpUREZGyLPMsbPkffPdfSPnNXOcXBNfcC22HQcVga/OJoDIiIuIZsjNh+8fmFTgn9pjrvP2h+QBo9zBUjrAynXg4lREREU/idMLez2Hdq/D7ZnOdzQuibjNLSVhTa/OJR1IZERHxRIYBv6yH9a+aU8v/JbKjebJr3S6aQE1KjcqIiIinO7LVPKdkxyIwHOa64EbmnpKoPuDta2k8KftURkRExHT6EGycYc7qmnnGXBcQBm0egJZDoFwlS+NJ2aUyIiIiuZ07DQmzYdMMSD1qrvOtCC0GmcVEJ7tKMVMZERGRvGVnwvZPzEM4x3aY62x28943bR+COu10XokUC5URERG5OMOA/XHmBGp/P9k1tIlZSqJuA28/6/KJ21MZERGRgju22zx8s20eZJ8z11UIhmvuM2d2rVi9QD/G4TSIP3iKY6npBAf40zqyCl527WXxVCojIiJSeGmnzPNK4mdC6hFznZcvNL7DPK/kIvOVrNx+lEmf7eRocnrOurAgfyb2bkT3qLASDi6uSGVERESKzpEFO5eYN+b7PeH8+vA20Pp+aHhTrkuDV24/yrAPt/DPL5S/9olMH9BChcQDqYyIiEjxOPy9WUp2LQVntrmuQjC0GgIth+CoGMq1L3yVa4/I39mA0CB/1j/ZWYdsPExBv7/tpZhJRETcUfg1cMd78OgO6DQWKobC2WOw9gWYGsUf7/enVspWuGC/iMkAjianE3/wVGmmFjeiMiIiIgUTEAqdxsCj26HPe1C7HTizqfbrchb6PcPnvmPp5xVHBc7l+fZjqXnvORFRGRERkcLx8jEv+73nc3hwPUlX3sk5w5eG9kM87/MuG/1G8Kz3LBrafs31tuAAf4sCi6vTOSMiInJZHE6DHlOWct3ZVdzl9RV17UdzXktw1mNudhcSKnYkbkwPnTPiYXQCq4iIlJq/rqYBg7b2nfT3iqOb/Xt8bOYN+jJ9gvBtOcA86bVaPWvDSqlRGRERkVL1z3lGqnOaeyp8y91+X1Mu7cj5gREdoMVgaNgbfHTopixTGRERkVKX5wysOOHnONg8C/atAsNpDvavBE3vNG/UF3K1pbmlZKiMiIiI60n+DX740HwkHz6/vmYrs5RE3Q5+Fa3LJ8VKZURERFyX0wEHvoaE92HPivOTqflWNK/UaTEYarbU3YPdnMqIiIi4hzPHYdtc2PIBnPz5/PrqDaBZP2hyJwSEWJdPikxlRERE3IthwKEN5t6SnUvO3z3Y5gX1uprFpH6PXPfEEdemMiIiIu4rPRl2LIatc+DwpvPry1WBJv8yi8lF7iAsrkFlREREyoYT+8xSsm0epJ6fUI2QxubVOI3v0GEcF6UyIiIiZYsj2zzp9YcPzZNeHZnmepsd6nY2zy1p0At8y1ubU3KojIiISNmVdgp2fGruLfnt+/PrfStCo5uhSV9zcjW7bsFmJZURERHxDCf3w4/zzWJy+m835wusBU3uMItJcEPr8nkwlREREfEshgGHNsKP82D7IshIPv9aSBQ07mNOqlaptnUZPYzKiIiIeK6sdNi70txjsm81OLPOv1Y72iwmjW6FClWty+gBVEZEREQAzv0BO5fCTwvhl/XAn197dm/zxNeoPtCgJ/gFWBqzLFIZERER+aeUI7D9E7OYHN12fr23P9S7wZyKvl43XZFTTFRGRERELub4Xtj+sVlMTh04v96nPNTvbhaTK7uCj791Gd2cyoiIiEhBGIa5l2THIvNy4dOHzr/mG2Aewrn6VvOQjrefdTndUEG/v4t0Afa0adOIiIjA39+fNm3aEB8fn+/YmTNn0qFDBypXrkzlypWJiYm56HgREZFSZbNBjWbQdRKM/BHu+wqiR0BgTchMNU+C/ehOeKkefPoA7F5uniArxabQe0bmz5/PoEGDmDFjBm3atGHq1KksXLiQPXv2EBwcfMH4/v370759e9q1a4e/vz8vvPACixYtYseOHdSsWbNAv1N7RkREpNQ5neaEajs+Ne+Tcybx/Gu+FaF+N3OCtSu76hyTfJTYYZo2bdpwzTXX8MYbbwDgdDoJDw/n4YcfZsyYMZd8v8PhoHLlyrzxxhsMGjSoQL9TZURERCzldMJv8ebdhHcuhZTfzr/mUx6ujDGLSf1uuirnbwr6/e1dmB+amZlJQkICY8eOzVlnt9uJiYlhw4YNBfoZaWlpZGVlUaVKlXzHZGRkkJGRkfM8JSWlMDFFRESKl90Otduaj27Pw+9bYOdis5yc/hV2LTUfXn5wRSdoeCNc1RMqVLM6uVsoVBk5ceIEDoeDkJDcd0cMCQlh9+7dBfoZTz75JDVq1CAmJibfMbGxsUyaNKkw0UREREqHzQa1WpqPrs9A4o9/7jFZAid/hn2rzIdtpDnBWoNe0OBGqFzH6uQuq1Bl5HJNmTKFefPmsWbNGvz9879UauzYsYwePTrneUpKCuHh4aURUUREpOBsNghraj46j4fju2H3Mti1DI5uhV+/NR+rnoLQxmYpaXAjhFxtvleAQpaRatWq4eXlRVJSUq71SUlJhIaGXvS9L7/8MlOmTOHLL7+kSZMmFx3r5+eHn58unxIRETdis5k35AtuCNc9DqcPm1fe7F5mFpLEn8zHmljz/jj1e8BVPaBOe/D2tTq9pQp1aa+vry8tW7YkLi4uZ53T6SQuLo7o6Oh83/fiiy/y7LPPsnLlSlq1alX0tCIiIu6iUji0fRDuXgaP/Qw3v2meR+Ltb85lEv8W/O8WeKkuLBwCPy40p673QEW6tHfw4MG89dZbtG7dmqlTp7JgwQJ2795NSEgIgwYNombNmsTGxgLwwgsvMGHCBObOnUv79u1zfk7FihWpWLFigX6nrqYREZEyIzMNDqyBPStg7yo4e+z8azYvqNPO3GNSvztUrWtZzOJQojOwvvHGG7z00kskJibSrFkzXn/9ddq0aQNAp06diIiIYPbs2QBERETw66+/XvAzJk6cyP/93/8V6z9GRETErTidcGSLWUz2fA7HduZ+vUpd83Lheje45eEcTQcvIiLibv74BfasNMvJr9+BM+v8a74VzcuG/yonARc/V9MVqIyIiIi4s/QU83DOvlWwbzWcyX3xCGFNzVJyZVeo2RK8Cn+BrMNpEH/wFMdS0wkO8Kd1ZBW87MV3lY/KiIiISFnhdELiNtj7hVlOft8C/O3r2z8Irrge6nWFul0gMOySP3Ll9qNM+mwnR5PP32cnLMifib0b0T3q0u8vCJURERGRsurMcfh5Nfz8Jez/6sKrcEKizCnqr4yB8DYXnGuycvtRhn24hX8WgL/2iUwf0KJYConKiIiIiCdwOsw9JX+Vk3/uNfGtCBHXQt3OULczjsp1ufbFr3PtEfk7GxAa5M/6Jztf9iEblRERERFPdPakubfk5y/NR9qJXC9nVKjBp8lXsd7ZmG+dV3OavG/s99HQtkTXrXpZUUrkRnkiIiLi4ipUhSZ3mA+nE5J+MsvJ/q/g0Eb8zh7hLu8j3MXXOA0bPxqRrHM2YaGjI4eM8/eeO5aa956TkqAyIiIiUlbZ7efvnXPto5CZxq6NK/n2iwV0sP/EVfbfaGY7QDP7Ab51RuUqI8EB+d9DrripjIiIiHgK3/LUv/ZW7vk2iMnJ6QRzig5ePxFt38kWZz3g/DkjrSOrlFqsQt2bRkRERNybl93GxN6NADhGFT52dOTfWcPIxCfnapqJvRsV63wjl6IyIiIi4mG6R4UxfUALQoNyH4oJDfIvtst6C0OHaURERDxQ96gwujYKLdEZWAtKZURERMRDedltl335bnHQYRoRERGxlMqIiIiIWEplRERERCylMiIiIiKWUhkRERERS6mMiIiIiKVURkRERMRSKiMiIiJiKZURERERsZTKiIiIiFjKLaaDNwwDgJSUFIuTiIiISEH99b391/d4ftyijKSmpgIQHh5ucRIREREprNTUVIKCgvJ93WZcqq64AKfTyZEjRwgICMBmK767CaakpBAeHs7hw4cJDAwstp8rJUfbzP1om7kXbS/348rbzDAMUlNTqVGjBnZ7/meGuMWeEbvdTq1atUrs5wcGBrrcBpSL0zZzP9pm7kXby/246ja72B6Rv+gEVhEREbGUyoiIiIhYyqPLiJ+fHxMnTsTPz8/qKFJA2mbuR9vMvWh7uZ+ysM3c4gRWERERKbs8es+IiIiIWE9lRERERCylMiIiIiKWUhkRERERS3l0GZk2bRoRERH4+/vTpk0b4uPjrY4kQGxsLNdccw0BAQEEBwdzyy23sGfPnlxj0tPTGT58OFWrVqVixYrcfvvtJCUlWZRY/mnKlCnYbDZGjRqVs07bzLX8/vvvDBgwgKpVq1KuXDkaN27M5s2bc143DIMJEyYQFhZGuXLliImJYd++fRYm9mwOh4Px48cTGRlJuXLlqFu3Ls8++2yue7649TYzPNS8efMMX19fY9asWcaOHTuMoUOHGpUqVTKSkpKsjubxunXrZrz33nvG9u3bja1btxo9e/Y0ateubZw5cyZnzIMPPmiEh4cbcXFxxubNm422bdsa7dq1szC1/CU+Pt6IiIgwmjRpYowcOTJnvbaZ6zh16pRRp04d4+677zY2bdpkHDhwwFi1apXx888/54yZMmWKERQUZCxevNjYtm2bcdNNNxmRkZHGuXPnLEzuuSZPnmxUrVrVWLZsmXHw4EFj4cKFRsWKFY3XXnstZ4w7bzOPLSOtW7c2hg8fnvPc4XAYNWrUMGJjYy1MJXk5duyYARhr1641DMMwTp8+bfj4+BgLFy7MGbNr1y4DMDZs2GBVTDEMIzU11ahXr56xevVqo2PHjjllRNvMtTz55JPGtddem+/rTqfTCA0NNV566aWcdadPnzb8/PyMjz76qDQiyj/06tXLuOeee3Ktu+2224z+/fsbhuH+28wjD9NkZmaSkJBATExMzjq73U5MTAwbNmywMJnkJTk5GYAqVaoAkJCQQFZWVq7t16BBA2rXrq3tZ7Hhw4fTq1evXNsGtM1czdKlS2nVqhV33HEHwcHBNG/enJkzZ+a8fvDgQRITE3Ntr6CgINq0aaPtZZF27doRFxfH3r17Adi2bRvr16+nR48egPtvM7e4UV5xO3HiBA6Hg5CQkFzrQ0JC2L17t0WpJC9Op5NRo0bRvn17oqKiAEhMTMTX15dKlSrlGhsSEkJiYqIFKQVg3rx5bNmyhe+///6C17TNXMuBAweYPn06o0eP5qmnnuL777/nkUcewdfXl8GDB+dsk7w+I7W9rDFmzBhSUlJo0KABXl5eOBwOJk+eTP/+/QHcfpt5ZBkR9zF8+HC2b9/O+vXrrY4iF3H48GFGjhzJ6tWr8ff3tzqOXILT6aRVq1Y8//zzADRv3pzt27czY8YMBg8ebHE6ycuCBQuYM2cOc+fO5eqrr2br1q2MGjWKGjVqlIlt5pGHaapVq4aXl9cFZ/InJSURGhpqUSr5pxEjRrBs2TK+/vpratWqlbM+NDSUzMxMTp8+nWu8tp91EhISOHbsGC1atMDb2xtvb2/Wrl3L66+/jre3NyEhIdpmLiQsLIxGjRrlWtewYUMOHToEkLNN9BnpOh5//HHGjBnDnXfeSePGjRk4cCCPPvoosbGxgPtvM48sI76+vrRs2ZK4uLicdU6nk7i4OKKjoy1MJmBenjZixAgWLVrEV199RWRkZK7XW7ZsiY+PT67tt2fPHg4dOqTtZ5EuXbrw008/sXXr1pxHq1at6N+/f86ytpnraN++/QWXy+/du5c6deoAEBkZSWhoaK7tlZKSwqZNm7S9LJKWlobdnvsr28vLC6fTCZSBbWb1GbRWmTdvnuHn52fMnj3b2Llzp3H//fcblSpVMhITE62O5vGGDRtmBAUFGWvWrDGOHj2a80hLS8sZ8+CDDxq1a9c2vvrqK2Pz5s1GdHS0ER0dbWFq+ae/X01jGNpmriQ+Pt7w9vY2Jk+ebOzbt8+YM2eOUb58eePDDz/MGTNlyhSjUqVKxpIlS4wff/zRuPnmm93mMtGyaPDgwUbNmjVzLu399NNPjWrVqhlPPPFEzhh33mYeW0YMwzD++9//GrVr1zZ8fX2N1q1bGxs3brQ6khiGAeT5eO+993LGnDt3znjooYeMypUrG+XLlzduvfVW4+jRo9aFlgv8s4xom7mWzz77zIiKijL8/PyMBg0aGG+//Xau151OpzF+/HgjJCTE8PPzM7p06WLs2bPHorSSkpJijBw50qhdu7bh7+9vXHHFFca4ceOMjIyMnDHuvM1shvG36dtERERESplHnjMiIiIirkNlRERERCylMiIiIiKWUhkRERERS6mMiIiIiKVURkRERMRSKiMiIiJiKZURERERsZTKiIiIiFhKZUREREQspTIiIiIillIZEREREUv9P9AG1zSnMq+dAAAAAElFTkSuQmCC", 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", 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", 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for i, record in fidelities.iterrows():\n", " plt.axhline(1, color='grey', ls='--')\n", " plt.plot(record['cycle_depths'], record['fidelities'], 'o')\n", " xx = np.linspace(0, np.max(record['cycle_depths']))\n", " plt.plot(xx, exponential_decay(xx, a=record['a'], layer_fid=record['layer_fid']))\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "execution": { "iopub.execute_input": "2025-05-30T10:19:21.525340Z", "iopub.status.busy": "2025-05-30T10:19:21.525068Z", "iopub.status.idle": "2025-05-30T10:19:21.802840Z", "shell.execute_reply": "2025-05-30T10:19:21.802134Z" }, "id": "8c08c9ab8109" }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/tmpfs/tmp/ipykernel_78850/3110110171.py:25: DeprecationWarning: DataFrameGroupBy.apply operated on the grouping columns. This behavior is deprecated, and in a future version of pandas the grouping columns will be excluded from the operation. Either pass `include_groups=False` to exclude the groupings or explicitly select the grouping columns after groupby to silence this warning.\n", " fids.groupby('pair').apply(_p)\n" ] }, { "data": { "image/png": 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GDRtm7rCEEEIIcQ+SvWLvgM6dO/PWW28B8Nxzz5GammrmiIQQQghxL5LE7g5588036dixI/n5+Tz55JM3nYkkhBDi7rN9+3YZhhVmJYndHaLVavnuu++wt7dn586d/Pvf/zZ3SEIIIYS4x0hidweFhYXx2WefAfD2229z8OBBM0ckhBBCiHuJJHZ32FNPPcWQIUOoqKhgxIgRZlu0UwghhBD3Hkns7jCVSsWcOXPw9/fnzJkzNV4IUQghhBDiZiSxMwNXV1e++eYbVCoVc+fO5aeffjJ3SEIIIYS4B0hiZyY9e/Y0bUEzduxY0tPTzRyREEIIIe52ktiZ0QcffEDr1q3JyclhxIgRsgSKEELcBRITE/H29qawsPCOPjcrKwtPT08uXrxYZ3Vu2bKFqKioO/7354/do4qLi+/oc+8HktiZkaWlJT/++CP29vbs2LGDDz/80NwhCSGEuIk33niDF198EQcHhyrXzp49i4ODA87OzrWu99133yUyMhI7OztcXFyIjY1l//79puvu7u6MHDmSd95553bCr2TSpEm8+eabaDSaKtd2796NVqulZcuWt1y/oij069cPlUrFzz//bDrfpEkTOnbsyPTp02+5blE9SezMrFGjRsyePRuA9957j99++83MEQkhRMOgKAoGvY6K0hIMet0Nt6C8Uy5cuMCaNWuq3aO8vLycYcOG0a1bt1uqu3Hjxnz++eecOHGCXbt2ERwcTJ8+fbh69aqpzOjRo1m8eDE5OTm32gSTXbt2kZyczODBg6tcy8vLY+TIkfTq1eu2njFz5kxUKlW110aPHs3s2bOpqKi4rWeIyiSxawD+9re/8dRTT2E0Ghk+fDjZ2dnmDkkIIczKUFZKaWYGpZfTKb1y6dr/zczAUFZab88sLi5m5MiR2Nvb4+Pjw7Rp04iJiWHChAmmMkuXLqVFixb4+flVuf/NN98kMjKSoUOH3tLzhw8fTmxsLKGhoURHRzN9+nQKCgo4fvy4qUx0dDS+vr43nXSXmZlJ//79sbGxISQkhMWLFxMcHFxpV4wff/yR3r17V9lwHuDZZ59l+PDhdOrU6ZbaAhAfH8+0adOYP39+tdd79+5NTk4OO3bsuOVniKoksWsgPv/8cxo3bkx6ejqjR49uEN9MhRDCHAxlpZRlZWIoLUGl0aK2skal0WIoLbl2vp6Su4kTJ7Jjxw5WrVrFxo0b2b59O0eOHKlUZufOnbRt27bKvVu3bmXZsmXMmjWrTmLR6/V89dVXODk50aJFi0rX2rdvz86dO294/6hRo0hLS2Pbtm0sX76cL774gszMzEplrteWBQsWcO7cudsa8i0pKWH48OHMmjULb2/vastYWlrSsmXLm7ZF1I4kdg2Evb09S5YswdLSkl9++cW0Q4UQQtztFEVBMRprdBgNBnT5ORgrylFbWqFSq1EBKrUataUVxopydPm5GA2GmtVZwy/JRUVFzJs3j08//ZRevXrRrFkzFi1aVGWYMDU1FV9f30rnsrOzGTVqFAsXLsTR0fG2Pqs1a9Zgb2+PtbU1M2bMYNOmTbi7u1cq4+vrS2pq6nXrSEpKYt26dcydO5eOHTvSpk0b5s2bR2lp5YS4uracOXOG119/ne+++w6tVnvL7XjllVfo3LkzAwcOvGG5m7VF1N6t/1cTda5ly5ZMmzaNF198kYkTJ9K1a1dat25t7rCEEOL2KAqlmRk1Kmo0VFBRVAgqNcZq3r1SjEYMurJriZ/m5n/CbDx94DrveP1ZcnIyer2eDh06mM65uroSERFRqVxpaWmVoctx48YxfPhwunfvftPn3EzPnj2Jj48nKyuLuXPnMnToUPbv34+np6epjI2NDSUlJQAsXryY8ePHm66tW7eOnJwctFotbdq0MZ2PjIysMqHjr20xGAwMHz6c9957j8aNG99yG1avXs3WrVs5evToTcv+uS2ibkiPXQPz/PPPM3DgQPR6PU888cQdn04vhBBmpSjXjuslYyrV/8qYgbu7O7m5uZXObd26lU8//RStVotWq2XMmDHk5+ej1Wqv+37Z9djZ2REeHk7Hjh2ZN28eWq2WefPmVSqTk5ODh4cHAAMGDCA+Pt50VDe0WtO2FBYWcujQIV544QVTW95//32OHTuGVqtl69atNap369atJCcn4+zsbKoHYPDgwcTExFy3LaJuSI9dA6NSqZg3bx6HDx/m7JmzTHz2VV598RVsnezwaeSPRlt1SroQQjRoKtW1nrMaMOh1lBoMqDVaVNUswaEYDBgNFVi7e6GxtKrRs2siLCwMCwsL9u/fT2BgIAC5ubkkJSXRo0cPU7lWrVpx6tSpSvfu3bu30jpwq1at4uOPP2bPnj3VTrKoDaPRiE6nq3Tu5MmTpgTJwcGhyrIrkZGRVFRUcPjwYdq1awdcW3svLy+vUrm/tsXR0ZETJ05UKvPFF1+wdetWli9fTkhISI1ifv311xk7dmylc82aNWPGjBn079+/Slsee+yxGtUrakYSuwbIzc2NWf/8DyvmLMPikpYfPvkBR2dHPP086DCgM+Ftb72LXAgh7jSVSlXjBEtjZY3G2gZDaQlqjabSUhmKomCsKEdrY4fGyvq6y2jcCnt7e8aMGcPEiRNxc3PD09OTKVOmoFZXHtiKi4tj7NixGAwG09pvUVFRlcocOnQItVpN06ZNa/z84uJiPvzwQwYMGICPjw9ZWVnMmjWL9PR0hgwZYipXUlLC4cOHmTp16nXrioiIoG/fvowfP57Zs2ej1WqZMGECNjY2VdqyaNEi08/Vxezp6Ym1tXWt2uLt7V3thInAwMBKyWFKSgrp6enExsbWuG5xczIU2wCdPZRE2v4LBHgGUVBWSFJ6MsXlpaSfv8SG+Ws5eyjJ3CEKIUS9UKlUWDm5oNZaYNSVoRgM1yZfGAwYdWWotRZYOjnXaVL3h08++YRu3brRv39/YmNj6dq1a6X31AD69euHVqtl8+bNtap7+/btqFQqUlJSqr2u0WhISEhg8ODBNG7cmP79+5Odnc3OnTuJjo42lVu1ahWBgYE3XStvwYIF+Pr60qNHDwYNGsQzzzxT6T09gBEjRvD777+TmJhYq7YsXLiwTj7/H374gT59+hAUFHTbdYn/kcSugTFUGNi/eg8ZV66SZSzhcnERl/Lz2HHkIOdyL5Nx5Sr7f9mDoUK2HxNC3Js01jZYu3uisbFFMVRg1OtQDBVobeyunbe2uXklt8De3p5vv/2W4uJiLl++bNrP+8+0Wi2TJ0++4Y4Jo0aNqjLsef78ecLDw687NGttbc3KlStJT09Hp9Nx6dIlVq1aZRpK/cN//vMf3n777Zu2xdvbmzVr1lBWVkZqaipPPvlklTKurq688MILN2zLu+++S3x8fJW2/Hl4uiYUReGRRx4x/azX65kzZw5vvfVWreoRNydDsQ1MxpmLJCWdIznrEmV6PXZWtthorNAZyki5mEa+kzOaRA0ZZy7iHyXfcoQQ9yaNtQ02VtYYy/UoBgMqjQa1hWW99NTV1vjx48nLy6OwsLDabcWqs3btWqZOnYqFhcUtPzcrK4tBgwYxbNiwW67jr6ZMmcIXX3yB0WisMux8PevWrePzzz+/redeuHCByZMn06VLl9uqR1QliV0DU5RbyPmMS+gqynFzdKC4sJRywEJrj6I2UFRSTEpGBkW5MltWCHFvU6lUNZsgcYdptVqmTJlSq3uWLVt22891d3dn0qRJt13Pnzk7OzN58uRa3XPgwIHbfm54eDjh4eG3XY+oShK7BqZYV0ZhWQl21lYYjUaKK0opKyvHwcoGjaLBUgV5JYUU68rMHaoQQtzztm/fbu4Q6sz13u8T9xZ5x66BsfVwRGOhxlBuxFhhuPYunVqhSF+K0aigGFSUG/Ronaru7SeEEEKI+5skdg2Mva0VHl7OKBjRl5XjbGOHWqXCqBgp0pVhMBiwstSycN5cc4cqhBBCiAZGErsGxtPTlbAgL6zstdjaWaFCjZ2FNYoCBgyUGnQ4Wdlxeu8xfvzxR3OHK4QQQogGRN6xa2CMunLaNwnn6tU8CopLcHS2Ro0jOcUlXMnNxVih4OXkgqOFBW//YwqtWrWqspehEEIIIe5P0mPX4KgI8PZgQGxHwoL9qFCMFOnLsLOxJDTQh+ZRwZRRjsbSkvb+bRn5+JOygbIQQgghAOmxa3A0lhZora0J8PHA38edqzkFFGTlYW1hgauTPbtOJnL5aj7ZOWXYFNkSZPDjpedf5OsF825euRBCCCHuadJj18BY2Nth7eYKRjUaS0u8PVwIaxSIp5sTGo2ajpHhuLg74R8VgLWrE/aWdlw5nM78eZLYCSHEnZCYmIi3tzeFhXd2PdGsrCw8PT25ePFindW5ZcsWoqKiMBju7G5Gp06dwt/fn+Li4jv63PuBJHYNjEqlwjHYD62dDcZyBZWlDZYODli5uICixtramtiYdtjaWeAXFYCloyPu9u58P/0bTpw4Ye7whRDinvfGG2/w4osvVrvrxNmzZ3FwcMDZ2bnW9b777rtERkZiZ2eHi4sLsbGx7N+/33Td3d2dkSNH8s4779xO+JVMmjSJN998E41GA/xvT9u/HpcvX65VvePHjycsLAwbGxs8PDwYOHAgCQkJputNmjShY8eON9zOTNwaSewaICsXJ9yaNsbG3RWlooKKYh0qtQo7Xy9svDxwtLWjS9to7Ows8IkMQG1lRaBzIBOffuWOf4MUQoj6oigK+sIiynLy0BcWoSiKuUPiwoULrFmzhlGjRlW5Vl5ezrBhw+jWrdst1d24cWM+//xzTpw4wa5duwgODqZPnz5cvXrVVGb06NEsXryYnJycW22Cya5du0hOTmbw4MFVriUmJpKRkWE6PD09a1V3mzZtWLBgAadPn2bDhg0oikKfPn0q9QyOHj2a2bNnU1FRcdttEf8jiV0DZeXihHvLKDzbNsOjTTSebZvh06U1zuGBqK2s8bCyoU3zCFzc7XEL9saACh8Lb14Z91KD+MdPCCFuhy43n6z402QeOkHm4d/JPHSCrPjT6HLz6+2ZxcXFjBw5Ent7e3x8fJg2bRoxMTFMmDDBVGbp0qW0aNECPz+/Kve/+eabREZGMnTo0Ft6/vDhw4mNjSU0NJTo6GimT59OQUEBx48fN5WJjo7G19eXn3766YZ1ZWZm0r9/f2xsbAgJCWHx4sUEBwczc+ZMU5kff/yR3r17Y21ddcF7T09PvL29TUdN95H9wzPPPEP37t0JDg6mdevW/POf/yQtLa3S7he9e/cmJyeHHTt21KpucWOS2DVgKpUKSwd7rF2dsXSwR6VSYevtga2nG2ora4JdnWkU4odfmDd2Xi5UKEb0KaXMmvaZuUMXQohbpsvNJ/tkEqVZOWisrLByskdjZUVpVg7ZJ5PqLbmbOHEiO3bsYNWqVWzcuJHt27dz5MiRSmV27txJ27Ztq9y7detWli1bxqxZs+okFr1ez1dffYWTkxMtWrSodK19+/bs3LnzhvePGjWKtLQ0tm3bxvLly/niiy/IzMysVOZ6bQFo2bIlPj4+9O7dm927d99WW4qLi1mwYAEhISEEBASYzltaWtKyZcubtkXUjiR2dxmVSoV9gA/Wrs5orGxoHuCDr4cLjVuGoba3RaXSsGfZb+zdtdfcoQohBHBtSNVoMNToMFRUkH8ujYpSHZZODqgttKBSobbQYunkQEWpjvzzaRgqKmpUX01HMIqKipg3bx6ffvopvXr1olmzZixatKjKMGFqaiq+vr6VzmVnZzNq1CgWLlyIo6PjbX1Wa9aswd7eHmtra2bMmMGmTZtwd3evVMbX15fU1NTr1pGUlMS6deuYO3cuHTt2pE2bNsybN4/S0tKbtsXHx4c5c+awYsUKVqxYQUBAADExMVUS3Jr44osvsLe3x97ennXr1rFp0yYsLS1r1RZRe7LcyV1IpVLhGOKPsbwCFIX2ESFsKy2jeaemHNx6CGuVNbNen0H4inA8vDzMHa4Q4j6nGI1kHT1Vo7IGnZ7iS5motBoMZboq140GA/r8QgylOjRWltXUUJl7qyao/m9iwI0kJyej1+vp0KGD6Zyrq2uVBeBLS0urDF2OGzeO4cOH071795s+52Z69uxJfHw8WVlZzJ07l6FDh7J///5K77jZ2NiY1i9dvHgx48ePN11bt24dOTk5aLVa2rRpYzofGRlZZUJHdW2JiIio1ObOnTuTnJzMjBkz+Pbbb2vVlhEjRtC7d28yMjL49NNPGTp0KLt37670zD+3RdQN6bG7S6nUapzCA9Ha2WJlY0vn6MbY2VnStGNTig3lWBgtmfL0/7vjU9iFEOJ2KEYjimJEdZ13ulRqNYqioBiNdziya9zd3cnNza10buvWrXz66adotVq0Wi1jxowhPz8frVbL/Pnza1W/nZ0d4eHhdOzYkXnz5qHVapn3l+WscnJy8PC49qV9wIABxMfHm47rDa3WtC3Vad++PWfPnq1VOwCcnJxo1KgR3bt3Z/ny5SQkJFR5N/DPbRF1Q3rs7mJqrRbnRkHkJpzD0ajQuWkjdhxNILhZGKnHzmKfp+KDl9/l3c8/MHeoQoj7mEqtxr1VkxqV1RcWYygvR2NlhcbSosp1g74cg06Ha7MILB3savTsmggLC8PCwoL9+/cTGBgIQG5uLklJSfTo0cNUrlWrVpw6Vbn3ce/evZW+RK9atYqPP/6YPXv2VDvJojaMRiM6XeWey5MnTxITEwOAg4NDlWVXIiMjqaio4PDhw7Rr1w64Nss1Ly+vUrnq2lKd+Ph4fHx8br0RXBuOVxSl2rY89thjt1W3qEwSu7ucxtIS5/BgchPP4eHiQuuIEIyKkbzsPArTs0k9cp4fvvyOYeP/Zu5QhRD3KZVKVaPhUAArJwesXZyvTZywtEClUpmuKYpCRUkpNu6uWDk5VLp2u+zt7RkzZgwTJ07Ezc0NT09PpkyZUmU2aFxcHGPHjsVgMJjWfouKiqpU5tChQ6jVapo2bVrj5xcXF/Phhx8yYMAAfHx8yMrKYtasWaSnpzNkyBBTuZKSEg4fPszUqVOvW1dERAR9+/Zl/PjxzJ49G61Wy4QJE7CxsanSlkWLFlU6N3PmTEJCQoiOjqasrIyvv/6arVu3snHjxhq35dy5cyxZsoQ+ffrg4eHBxYsX+de//oWNjQ0PPvigqVxKSgrp6enExsbWuG5xczIUew/Q2lrjFB6IxsqaEB9PIgJ8iG4VgWJnSbnBwKZvN3BkzyFzhymEEDdlWqTd2gpdXgEGfTmK0YhBX44urwCttRWOwX51mtT94ZNPPqFbt27079+f2NhYunbtWuk9NYB+/fqh1WrZvHlzrer+Y+HfPy/38WcajYaEhAQGDx5M48aN6d+/P9nZ2ezcuZPo6GhTuVWrVhEYGHjTtfIWLFiAr68vPXr0YNCgQTzzzDNV1qIbMWIEv//+O4mJiaZzer2ef/zjHzRr1owePXpw7NgxNm/eTK9evUxlFi5ceMPP39ramp07d/Lggw8SHh7O448/joODA3v27KkUww8//ECfPn0ICgq6YVtE7aiU+2zRs4KCApycnMjPz7/t2UsNTVlOPvnnUqkoKWHPyUTSMnPYsXY3ThorbGyt+PC7j3H3kXcZhBD1q6ysjPPnzxMSElLtGmk1ocvNpyAlHV1ePkqFEZVWjZWzE47Bfli5ONVxxNcXExNDy5YtK63/NmvWLFavXs2GDRtqXM+CBQuYOnUqp06dwsKi6hBzTXXs2JGXXnqJ4cOH1/re4OBgJkyYUGldvokTJ1JQUMCXX35Z43reeecdduzYwfbt22sdwx/0ej2NGjXi+++/p0uXLrdcz73kRr83tcldpMfuHmLt6oRDgC9aG1vaR4bh6mBHh55tyS0rRleq518vfECFvtzcYQohxE1Vt0i7e8uoO5rUXc/48ePp3r17rXb6Wbt2LVOnTr2tpC4rK4tBgwYxbNiwW67jr6ZMmUJQUBDGWkxGWbduHf/+979v67kXLlxg8uTJktTVA3nH7h5j6+WOsbwcFIUuTRux5fDvNO3YlN/3/o4qA2ZM/IR/zHi91quICyHEnfbHIu0NjVarZcqUKbW6Z9myZbf9XHd3dyZNmnTb9fyZs7MzkydPrtU9Bw4cuO3nhoeHEx4eftv1iKoksbsH2fl5YyyvQFEUOkc3Ql9RQU4jX64mXybhUAIrZi9hyPN1941PCCHuVbcz3NjQXO/9PnFvkcTuHqRSqXAI8sNYXoGnYqRt4zKMRoXc7FyKCnVsXrqJkIhQ2sZ2uHllQgghhLhryHjcPUqlVuMYFoiloyMhgf5E+XvToWsbitBRVFbKt58u5FLyRXOHKYQQQog6JIndPUyt0eAUHoSFvR3NIsMIdHOh6wPtyS4rJDcvny8m/5fi/GJzhymEEEKIOiKJ3T1OY2mBc+MQLOzt6dgyEh8XZ1p3bUFmcQEX09L56q1ZlMtMWSGEEOKeIIndfUBrbYVzeDBW9o50ax1NgKcHodFBZBcXcfLISZbP/KFWU92FEEII0TDJ5In7hIW9LU5hgShGI91aN0FfUUFebj45mcXsWLsDnyBfYh6XbV2EEEKIu5n02N1HrJwdcQz2x8PLk47RjWjduikGG4WcokJWLfyJxH2/mztEIYRo8BITE/H29q7VAsV1ISsrC09PTy5erLuJb1u2bCEqKgqDwVBnddbEqVOn8Pf3p7hY3vOua5LY3WdsPFyx9/chKDiQlmHBdOzcmkJjKVeys/nm00VcPpdh7hCFEAIAxahQnJ1PfnoWxdn5KMaGsQPmG2+8wYsvvoiDg0OVa2fPnsXBwQFnZ+fbesazzz6LSqWqtJWZu7s7I0eO5J133rmtuv9s0qRJvPnmm2g0GuB/e9r+9bh8+fIt1a8oCv369UOlUvHzzz+bzjdp0oSOHTsyffr0umiG+BNJ7O5Dtj6e2Hp7Et0knAh/H9p1aUmOrogLFy+yaOo8CnPu7LdQIYT4q4KMHBI2HOTkL3s5tXY/J3/ZS8KGgxRk5Jg1rgsXLrBmzRpGjRpV5Vp5eTnDhg2jW7dut/WMn376iX379uHr61vl2ujRo1m8eDE5Obf/OezatYvk5GQGDx5c5VpiYiIZGRmmw9PT85aeMXPmTFQqVbXXRo8ezezZs6moqLilukX1JLG7D11bwNgXG093OrRtRpi3N01aNSa7tIjTpxL48ZNvKNfpzR2mEOI+VZCRw5ltR8lLy8TKzhoHL2es7KzJS8vkzLaj9ZbcFRcXM3LkSOzt7fHx8WHatGnExMQwYcIEU5mlS5fSokUL/Pz8qtz/5ptvEhkZydChQ285hvT0dF588UUWL15c7b6y0dHR+Pr68tNPP92wnszMTPr374+NjQ0hISEsXryY4ODgSj2AP/74I717966y4TyAp6cn3t7epuNWtqGMj49n2rRpzJ8/v9rrvXv3Jicnhx07dtS6bnF9ktjdp1QqFY4hAdi6udK9U0saB/rjG+5FdkkxB/ccYs2cn2WmrBCiTiiKgrHCUKPDoK/g4pEkdIUl2Hu5oLWyBFRorSyx93JBV1jCxaNnMOgralSfotR8+HbixIns2LGDVatWsXHjRrZv386RI0cqldm5cydt27atcu/WrVtZtmwZs2bNuuXPyWg08uSTTzJx4kSio6OvW659+/bs3LnzhnWNGjWKtLQ0tm3bxvLly/niiy/IzMysVOZ6bQFo2bIlPj4+9O7dm927d9e6LSUlJQwfPpxZs2bh7e1dbRlLS0tatmx507aI2pFZsfcxtUaDc6NglAoDMR1bUlqmo6iwmKtXC9i6Zisefp50fSzG3GEKIe5yisHI6fU12zheX6IjMykNjYUFuuKyKtcN5RUUXs1DV1SKpa3VTeuL6tselVZz03JFRUXMmzeP7777jl69egGwaNEi/P39K5VLTU2tkgxlZ2czatQovvvuOxwdHW/6rOv5+OOP0Wq1vPTSSzcs5+vry9GjR697PSkpiXXr1nHgwAHatWsHwLx584iKiqpULjU1tcpwr4+PD3PmzKFt27bodDq+/vprYmJi2L9/P61bt65xW1555RU6d+7MwIEDb9qW1NTUGtcrbk4Su/ucWqvFuXEIRoOB7u2boysvZ9/BY1zJzeGXb1fj4e9BRMfrf3MUQoi6ZKwwoBiMqG2qH1BSazRUlJVjrKjbWZzJycno9Xo6dPjfHtqurq5ERERUKldaWlpl6HLcuHEMHz6c7t273/LzDx8+zH/+8x+OHDly3XfS/mBjY0NJSQkAixcvZvz48aZr69atIycnB61WS5s2bUznIyMjq0zoqK4tERERldrcuXNnkpOTmTFjBt9++22N2rJ69Wq2bt16w+SzuraIuiGJnUBjZYlz4xAUg4GORSXoy8s5sP84FzLSWfr5Esa5j8c7vOr7JEIIURMqjZqovu1rVLY4u4CKMj2WdjZY2FhWuV5eqkNfXEbjXq2xc7t575hKU7dvHLm7u5Obm1vp3NatW1m9ejWffvop8H9Dz0YjWq2Wr776iqeffvqm9e7cuZPMzEwCAwNN5wwGA//4xz+YOXMmKSkppvM5OTl4eHgAMGDAgErJqJ+fHxs3brzltlSnffv27Nq1q0Z1wrXPIzk5uUoiOXjwYLp168b27dtN53JycggLC6tx3eLmJLETAFjY2uDcKJgog5H8wiJKdWWcOJxE4tkzLJn5A6PfHYeju5O5wxRC3IVUKlWNhkMB7D2ccfRxIy8tEwtb10q9V4qiUJZfjHOgJ/YezqjUN+7Zqo2wsDAsLCzYv3+/KbnKzc0lKSmJHj16mMq1atWKU6dOVbp37969ldaBW7VqFR9//DF79uypdpJFdZ588kliYysvEh8XF8eTTz7J6NGjK50/efIkMTExADg4OFRZdiUyMpKKigoOHz5sGopNTEwkLy+vUrnq2lKd+Ph4fHx8atQOgNdff52xY8dWOtesWTNmzJhB//79q7Tlscceq3Hd4uYksRMmlo4OOIUF0a6inMKiUkpKSkk+fZH4+OP89N9lDHv9yRq90yKEELdKpVbh1zKcktxCCjNysHGxR2NpgUFfTmluEZb2Nvi1CK/TpA7A3t6eMWPGMHHiRNzc3PD09GTKlClVZoPGxcUxduxYDAaDae23v767dujQIdRqNU2bNq3x893c3HBzc6t0zsLCAm9v70pDoyUlJRw+fJipU6det66IiAj69u3L+PHjmT17NlqtlgkTJmBjY1OlLYsWLap0bubMmYSEhBAdHU1ZWRlff/01W7durXEvIGCaSftXgYGBhISEmH5OSUkhPT29SkIrbo/MihWVWLs54xwaRLfOrYkMCcYn0I2ckiL27drP+nlr7vjq5EKI+4+jjyuNerbCOcATXXEZRZl56IrLcA70pFHPVjj6uNbLcz/55BO6detG//79iY2NpWvXrpXeUwPo168fWq2WzZs316ruPxb+/fOQ6q1YtWoVgYGBN10rb8GCBfj6+tKjRw8GDRrEM888U2UtuhEjRvD777+TmJhoOqfX6/nHP/5Bs2bN6NGjB8eOHWPz5s2mCSUACxcuvOl7gDXxww8/0KdPH4KCgm67LvE/0mMnqrDxcsdFX05s9/aUlukoLT3Flaxctq/bjpu3O12G9Lh5JUIIcRscfVxx8GpHSW4BFWXlaK0tsHVxrPOeuj+zt7fn22+/rTRJ4Ndff61URqvVMnnyZKZPn05cXFy19YwaNarKAsbnz58nPDy8xkOzQLVJ4H/+8x/efvvtm97r7e3NmjVrKp176623Kv3s6urKCy+8wPTp0/nyyy+BaztRTJo06YZ1nz9/vtLwdE38ddkZvV7PnDlz+P7772tVj7g5SexEFSqVCocAH5TyCnp1LaW0TEd82WkuXr3CuiVrcfFxpUnXZuYOUwhxj1OpVdi5Nbx3e8ePH09eXh6FhYXVbitWnbVr1zJ16tRqFx2uqaysLAYNGsSwYcNuuY6/mjJlCl988QVGo7HGixCvW7eOzz///Laee+HCBSZPnkyXLl1uqx5RlSR2olrXFjD2J7C8nB5FJej15Rw/kUTyhVRWzf0JJ3dH/CKl+1wIcf/RarVMmTKlVvcsW7bstp/r7u5+09602nJ2dmby5Mm1uufAgZqtSXgj4eHhhIeH33Y9oipJ7MR1qdRqnMKDiSyvIL+wCJ1eR8LpVH5PSGDF58sZ+dZonL3q510XIYRoCP68NMfd7nbf7xN3B5k8IW5IrdXgEhFKuw6taNGkMSGhPhQZdcQfjefnz5ZTVlxq7hCFEEII8X+kx07clMbSAteocHro9BQWl6DT6bmclsO+Xftx+sqJAS8+hqaGa1QJIYQQov5IYidqRGtjjXvTCGLLdJSUlKHTlZOVWcCODb/h6uVGj+GyDpEQQghhbpLYiRqzdLDDt0UTYkuuzZQ9pU8mIyeL9cvX4+rjRrOercwdohBCCHFfk8RO1Iq1qxOhbZvTs6gYnU5PYmIKqenprJr/M04ezgQ2Dbl5JUIIIYSoFzJ5QtSarZc70Z3b0rl9c0JC/ajQGkk4c4YVs5aRnZ5l7vCEEEKI+5YkduKW2Pt70z6mM62aRRIU7IVeZeDY8RP89NkySgtKzB2eEELUm8TERLy9vSksLLyjz83KysLT05OLFy/WWZ1btmwhKirqjm8XeerUKfz9/SkuLr6jz70fSGInbolKpcIpNICYuO5ERYTj4+9KiVHPgb0HWTPnZwzlFeYOUQhxlzMajWRfzuHSuUtkX87BaDSaOyQA3njjDV588UXTrhMpKSmoVKoqx759+2pV77vvvktkZCR2dna4uLgQGxvL/v37Tdfd3d0ZOXIk77zzTp21ZdKkSbz55ptoNNdWNvhjT9u/HpcvX76l+hVFoV+/fqhUKn7++WfT+SZNmtCxY0emT59eF80QfyLv2IlbplKrcYsMI65fDMUlpeh15eRkFvPb5p24eLrQ66m+dbJRtBDi/nM59QrHd57gyoUrVOgr0Fpq8Qr0onm3ZngHeZktrgsXLrBmzRo+++yzKtc2b95MdHS06Wc3N7da1d24cWM+//xzQkNDKS0tZcaMGfTp04ezZ8/i4eEBwOjRo2nTpg2ffPIJrq63t0D8rl27SE5OZvDgwVWuJSYm4ujoaPrZ09Pzlp4xc+bM6/4dGD16NOPGjeONN95Aq5V0pK5Ij524LWqNBu+WUfSN60ZwSAAOLtZkFeaxfvl6jm44aO7whBB3ocupV9ix4jcunrmIvZMdngEe2DvZcfHMRXas+I3LqVfq5bnFxcWMHDkSe3t7fHx8mDZtGjExMUyYMMFUZunSpbRo0QI/P78q97u5ueHt7W06arsv7PDhw4mNjSU0NJTo6GimT59OQUEBx48fN5WJjo7G19eXn3766YZ1ZWZm0r9/f2xsbAgJCWHx4sUEBwczc+ZMU5kff/yR3r17Y21tXeV+T0/PSm2p6T6yfxYfH8+0adOYP39+tdd79+5NTk4OO3bsqHXd4voksRO3TWNhQUinNvR+oBOBQb5Y2VlwOfsqP81fybn4M+YOTwhhZoqiUFFeUaNDr9MTvyOeorxCPAM8sLS2BMDS2hLPAA+K8go5tuMYep2+RvUpilLjOCdOnMiOHTtYtWoVGzduZPv27Rw5cqRSmZ07d9K2bdtq7x8wYACenp507dqV1atX3/oHBuj1er766iucnJxo0aJFpWvt27dn586dN7x/1KhRpKWlsW3bNpYvX84XX3xBZmZmjdvSsmVLfHx86N27N7t37651/CUlJQwfPpxZs2bh7e1dbRlLS0tatmx507aI2jF73+esWbP45JNPuHz5Mi1atOCzzz6jffv21y0/c+ZMZs+ezYULF3B3d+exxx7jo48+qvYbh7hztNZWNO3VhYL8Iioqyjl39hKpaWn8OPN7nnn/WdwDzTd0IoQwL0OFgU2LN9eobElRKWePnsXCyoLiaiZiVegryEo/RlFBMbb2Njetr/eIWLQWN/9TV1RUxLx58/juu+/o1asXAIsWLcLf379SudTU1CrJkL29PdOmTaNLly6o1WpWrFjBI488ws8//8yAAQNu+uw/W7NmDU888QQlJSX4+PiwadMm3N3dK5Xx9fXl6NGj160jKSmJdevWceDAAdq1awfAvHnziIqKqtIWX1/fSud8fHyYM2cObdu2RafT8fXXXxMTE8P+/ftp3bp1jdvxyiuv0LlzZwYOHHjDcr6+vqSmpta4XnFzZk3slixZwquvvsqcOXPo0KEDM2fOJC4ujsTExGrH87///ntef/115s+fT+fOnUlKSmLUqFGoVCp5AbMBsLS3o+OAXuQXFFBeXsGFc5kkJiWx+N/fMPbD57Bzsjd3iEKIBs5QXoHBYMBaW/2XdY1WQ1mJrs4naCUnJ6PX6+nQoYPpnKurKxEREZXKlZaWVulIcHd359VXXzX93K5dOy5dusQnn3xS68SuZ8+exMfHk5WVxdy5cxk6dCj79++v9DfRxsaGkpJrSe/ixYsZP3686dq6devIyclBq9XSpk0b0/nIyEicnZ1v2paIiIhKbe7cuTPJycnMmDGDb7/9tkZtWL16NVu3br1h8lldW0TdMGtiN336dMaNG8fo0aMBmDNnDr/++ivz58/n9ddfr1J+z549dOnSheHDhwMQHBzMsGHDKs0aEuZl7exE7JCHyC8oplxfQUZaDseOnuDHT77jqbfHoLWs3TsnQoi7n0arofeImm07mHM5h7ISHXYOtljbVU3uyorLKC4sIeaxHrh633zyQF3vY+3u7k5ubu5Ny3Xo0IFNmzbVun47OzvCw8MJDw+nY8eONGrUiHnz5vHGG2+YyuTk5JgmUwwYMKBSMurn58fGjRtr9KyatqV9+/bs2rWrxm3YunUrycnJVRLJwYMH061bN7Zv3246l5OTQ1hYWI3rFjdntnfs9Ho9hw8fJjb2f7/sarWa2NhY9u7dW+09nTt35vDhwxw4cACAc+fOsXbtWh588ME7ErOoGTsvDx56/GHCQgNx83ZAr1LYt3M/q2evbDDLFQgh7hyVSoXWQlujw93PHe8gb/KzC1CpVag1atOhUqvIzy7AJ9gbdz/3GtVX05n5YWFhWFhYVOooyM3NJSkpqVK5Vq1acerUqZvWFx8fj4+PT+0+qGoYjUZ0Ol2lcydPnqRVq2tbODo4OJgSwfDwcGxsbIiMjKSiooLDhw+b7klMTCQvL++OtOX111/n+PHjxMfHmw6AGTNmsGDBguu2RdQNs/XYZWVlYTAY8PKq/O6Vl5cXCQkJ1d4zfPhwsrKy6Nq167WXcSsqePbZZ5k8efJ1n6PT6Sr9UhQUFNRNA8QNuYYG8vBjfSldvJoK/XmKcsvYvGoz7r7udB/Sy9zhCSEaKLVaTfNuzcjNzOVyyhWcPZ2xsrZEV6YnLzMPeyc7mnVtdkuzNG/E3t6eMWPGMHHiRNzc3PD09GTKlClVnhMXF8fYsWMxGAymtd8WLVqEpaWlKUFZuXIl8+fP5+uvv67x84uLi/nwww8ZMGAAPj4+ZGVlMWvWLNLT0xkyZIipXElJCYcPH2bq1KnXrSsiIoK+ffsyfvx4Zs+ejVarZcKECdjYVH4nMS4ujkWLFlU6N3PmTEJCQoiOjqasrIyvv/6arVu31rgXEDDNpP2rwMBAQkL+t+1kSkoK6enplTp4xO27q2bFbt++nalTp/LFF19w5MgRVq5cya+//soHH3xw3Xs++ugjnJycTEdAQMAdjPj+pVKp8G8ZTd+HHiAw2A9rOwuK9XpWzv+JU3tOmDs8IUQD5h3kRY/B3fFv5E9xfjGZaVcpzi8moLE/3Qd3r7d17D755BO6detG//79iY2NpWvXrpXeUwPo168fWq2WzZsrTwb54IMPaNOmDR06dGDVqlUsWbLE9JoR/G/h35SUlGqfrdFoSEhIYPDgwTRu3Jj+/fuTnZ3Nzp07K62Nt2rVKgIDA+nWrdsN27JgwQJ8fX3p0aMHgwYN4plnnqny7vqIESP4/fffSUxMNJ3T6/X84x//oFmzZvTo0YNjx46xefNm04QSgIULF9bJGqU//PADffr0ISgo6LbrEn+imIlOp1M0Go3y008/VTo/cuRIZcCAAdXe07VrV+W1116rdO7bb79VbGxsFIPBUO09ZWVlSn5+vulIS0tTACU/P79O2iFuzGgwKHtXrlfef3aKMqrXU8qoriOVSQNfUS6dTTd3aEKIelJaWqqcOnVKKS0tva16DAaDkpWRraQnpytZGdnX/Xe+PvXo0UN5+eWXK537/PPPlT59+tSqnvnz5yvh4eGKXq+/rXg6dOigLF68+JbuDQoKUmbMmFHp3GuvvaY888wztarn7bffVnr06HFLMfxBp9MpgYGByq5du26rnnvJjX5v8vPza5y7mK3HztLSkjZt2rBlyxbTOaPRyJYtW+jUqVO195SUlFTpFv+jK1y5zlpFVlZWODo6VjrEnaNSq2n38AO0bduUoFAfjFq4mp3FnLc/pzBbhsWFENenVqtx83bFN9QXN2/XOh9+vVXjx4+ne/futdordu3atUydOrXWixb/WVZWFoMGDWLYsGG3XMdfTZkyhaCgoFq9/7xu3Tr+/e9/39ZzL1y4wOTJk+nSpctt1SOqMuus2FdffZWnnnqKtm3b0r59e2bOnElxcbGp+3rkyJH4+fnx0UcfAdC/f3+mT59Oq1at6NChA2fPnuWtt96if//+pgRPNDwaCwtihz9CXl4R5fpyLqZcJS01jTlvfs7LM14zLUAqhBB3A61Wy5QpU2p1z7Jly277ue7u7kyaNOm26/kzZ2fnG76nXp0/JjDejj8me4i6Z9bE7vHHH+fq1au8/fbbXL58mZYtW7J+/XrThIoLFy5U+ob25ptvolKpePPNN0lPT8fDw4P+/fvz4YcfmqsJooYsbKwZOHoIRZ8tRK8v52p6PgknElj4wVzGfvBcg/kmLoQQf/bnpTnudtd7v0/cW1TK9cYw71EFBQU4OTmRn58vw7JmkHUxg+8/+4bksxcoyi5BVWGkz9A4hr403NyhCSHqSFlZGefPnyckJER2BRKihm70e1Ob3EW6ScQd5e7vw4AnB+If6I2VgyVqCy1bVmxiy/LaL+QphBBCiMoksRN3XHDTSOIe6UNAiA9YARoNy2b9yLHdN99+RgghhBDXJ4mdMIvmPTrQqUcHgsL8qFAbARVfvvMFackXzB2aEEIIcdeSxE6YTfdH44hqEUlQuC96lRFjhZGPX/gn+bl55g5NCCGEuCtJYifMRq1W8/BTjxEUFoB/iCflatCXlPP26Mno9XpzhyeEEELcdSSxE2ZlaWXJoHHD8PbzwtPPBbQaSrKLeXvs5OsuOi2EEOaUmJiIt7d3rRYorgtZWVl4enpy8eLFOqtzy5YtREVFYTAY6qzOmqiPtohrJLETZufg7MjgcU/g6eOOg5sdFlbWXE2+wtR/vG/u0IQQZmQ0GklPyyApIZn0tIxa7Y5Qn9544w1efPFFHBwcgGvrw6lUqirHvn37alXvu+++S2RkJHZ2dri4uBAbG8v+/ftN193d3Rk5ciTvvPNOnbVl0qRJvPnmm5UW+dfpdKYdKaysrAgODmb+/PkNvi3iGlnHTjQYZ04m8vO8ZVw4dwlVqUJhYQEdBnfh2df+bu7QhBC1UBfr2J07k8LWDbs4l5yKrkyPlbUloWFBPBDXldBGwXUbcC1cuHCB8PBwzp8/j5+fH3AtsQsJCWHz5s1ER0ebyrq5udVqC7Hvv/8eT09PQkNDKS0tZcaMGSxbtoyzZ8/i4eEBwO+//06bNm24dOkSrq6ut9WWXbt28fDDD3P58uVK/50GDhzIlStX+Oc//0l4eDgZGdeS6tps/3Wn23IvkHXsxD2nUdMIegzshV+wF3qNEWdHJ/Ys38mK75ebOzQhxB107kwKixes4PTvSTi7OBEcFoCzixOnf09i8YIVnDuTUi/PLS4uZuTIkdjb2+Pj48O0adOIiYlhwoQJpjJLly6lRYsWpqTuz9zc3PD29jYdtd0Xdvjw4cTGxhIaGkp0dDTTp0+noKCA48ePm8pER0fj6+vLTz/9dMO6MjMz6d+/PzY2NoSEhLB48WKCg4OZOXOmqcyPP/5I7969KyUR69evZ8eOHaxdu5bY2FiCg4Pp1KlTrfd0rcu2iNqRxE40KO16dKRV13YEhftQrJTj5uTCiv8s4betO8wdmhDiFimKQrm+vEaHrkzHprU7yMnKJTg0AFtba1SAra01waEB5GTlsmndDnRluhrVV5tBqYkTJ7Jjxw5WrVrFxo0b2b59O0eOHKlUZufOnbRt27ba+wcMGICnpyddu3Zl9erVt/ORodfr+eqrr3BycqJFixaVrrVv356dO3fe8P5Ro0aRlpbGtm3bWL58OV988QWZmZk3bcvq1atp27Yt//73v/Hz86Nx48a89tprlJaWmq0tonbMulesEH+lUqmIHRRHXk4uhnIDaclX8HB047P/NwPHuU60bNnS3CEKIWqporyCubO+q1HZgvxCDu49irW1FXl5BVWu63V6LqSmk5uTj6OTw03rG/f837CwvHnPWVFREfPmzeO7776jV69eACxatAh/f/9K5VJTU6skQ/b29kybNo0uXbqgVqtZsWIFjzzyCD///DMDBgy46bP/bM2aNTzxxBOUlJTg4+PDpk2bcHd3r1TG19eXo0evv6B7UlIS69at48CBA7Rr1w6AefPmERUVVaUtvr6+lc6dO3eOXbt2YW1tzU8//URWVhZ///vfyc7OZsGCBXe8LaL2pMdONDgajYYBIwfjE+qPd5A75SrwdvTkrTFvcPbsWXOHJ4SoR+XlFRgMBrQW1fc7aC20GAwGyssr6vS5ycnJ6PV6OnToYDrn6upKREREpXKlpaVV3n9yd3fn1VdfpUOHDrRr145//etf/O1vf+OTTz6pdRw9e/YkPj6ePXv20LdvX4YOHVqlp83GxoaSkhIAFi9ejL29venYuXMnp0+fRqvV0qZNG9M9kZGRODs737QtRqMRlUrF4sWLad++PQ8++CDTp09n0aJFte61q21bRN2QHjvRINnYWPPomKF8/99FlOsqKLxaRICDL39/fDwLf/m2yrdMIUTDpbXQMu75v9Wo7KWLlykpKsbJxRF7e7sq14sKi8nPK2DkmCH4+nvX6Nl1yd3dndzc3JuW69ChA5s21X4PbDs7O8LDwwkPD6djx440atSIefPm8cYbb5jK5OTkmCYgDBgwoFIy6ufnx8aNG2v0rOra4uPjg5+fH05OTqZzUVFRKIrCxYsXadSoUb21RdQN6bETDZarmwsDRz+Gm58bVo5W2NjZEmwbwN8GDicnJ8fc4QkhakilUmFhaVGjIyDYj7BGIVy9ko1KrUat0ZgOlVrN1cxswhqHEBDsV6P6VCpVjWIMCwvDwsKi0pIcubm5JCUlVSrXqlUrTp06ddP64uPj8fHxqd0HVQ2j0YhOp6t07uTJk7Rq1QoABwcHU/IUHh6OjY0NkZGRVFRUcPjwYdM9iYmJ5OXl3bQtXbp04dKlSxQVFZnOJSUloVarqwxL13VbRN2QxE40aAHB/vQZ8hCeAe6UaxVcnZ0JsvBjSP/Blf7hEULcG9RqNQ/EdcXZxYlzZ1IoKizGUGGgqLCYc2dScHF14oE+XVGr6/bPl729PWPGjGHixIls3bqVkydPMmrUqCrPiYuLY+/evZUW9F20aBE//PADCQkJJCQkMHXqVObPn8+LL75Y4+cXFxczefJk9u3bR2pqKocPH+bpp58mPT2dIUOGmMqVlJRw+PBh+vTpc926IiIi6Nu3L+PHj2f//v0cPnyYsWPHYmNjU6Utu3btqnRu+PDhuLm5MXr0aE6dOsVvv/3GxIkTefrpp6vcfyfaImpPEjvR4DVr05SOfbrjG+JJoaLHx90Tr3J3HnvksSrf/oQQd7/QRsGMGD2YqOjG5OXmk3o+jbzcfKKaNmb4qMH1to7dJ598Qrdu3ejfvz+xsbF07dq10ntqAP369UOr1bJ58+ZK5z/44APatGlDhw4dWLVqFUuWLGH06NGm69u3b0elUpGSklLtszUaDQkJCQwePJjGjRvTv39/srOz2blzZ6W18VatWkVgYCDdunW7YVsWLFiAr68vPXr0YNCgQTzzzDN4enpWKjNixAh+//13EhMTTefs7e3ZtGkTeXl5tG3blhEjRtC/f3/++9//mq0tonZkgWJxVzAajaz5cQ0n9hwh41wmjlorEtLOoAqxYsnSJWi18rqoEA1FXSxQDNd+7zPSr1BcXIKdnS0+fl513lN3MzExMbRs2bLS+m+zZs1i9erVbNiwocb1LFiwgKlTp3Lq1Klar2/3Zx07duSll15i+PDhtb43ODiYCRMmVFqXb+LEiRQUFPDll1/WuJ6G0JZ7kSxQLO4rarWavoP7EtgkHA9/V4oqymnsG0b+6WyeGfeM7CsrxD1IrVbjF+BD48gw/AJ87nhSdz3jx4+ne/futdordu3atUydOvW2EqGsrCwGDRrEsGHDbrmOv/pj67DabNfWUNsirpEeO3FXyc8r4MevfuDiqfMUZ5WirjCwI2EP3Qf35NNPP63xi9JCiPpTVz12DUF1PXZ3q+p67ETDUVc9djJ+Je4qTs6ODBjxCMu+/hG9Lg1VqZYujdqz6tufcXNzY/LkyeYOUQhxD9m+fbu5Q6gz13snTtxbGka/thC14OPnRdxjD+IZ6oVOU4GzszN9onsw86MZfPHFF+YOTwghhDAbSezEXSkiuhFd4mLwDfMhR1eEr5cP/VvEMfGViSxatMjc4QkhhBBmIUOx4q7VoVtb8nLzMFRUkJ50hfCAEAbo+zJu7Disra15/PHHzR2iEPe1++wVbiFuS139vkhiJ+5aKpWKXg/2JD83nwpdBZcv5NCyUROKdEWMGDECa2trBg4caO4whbjvaDQaAPR6fY0XtRXifvfHnrm3M9sYJLETdzkLCy0PP/YgSwpL0Ov0ZF4tokuT9uQW5zN06FBWrVpF3759zR2mEPcVrVaLra0tV69excLCosEsUyJEQ6QoCiUlJWRmZuLs7Gz6YnSrJLETdz07e1v6D32IZaWlpJUlU1Cm48G2vcgtzuXRRx9l7dq19OzZ09xhCnHfUKlU+Pj4cP78eVJTU80djhB3BWdnZ7y9vW+7HlnHTtwzzp1JYc2Pq0k5fh4XCzuUCgNzNi6goKKIDRs20KVLF3OHKMR9xWg0otfrzR2GEA2ehYXFDXvqapO7SGIn7imHDxzjt1+3cv7YeQKc3CksLmTGmjmordRs2bKFtm3bmjtEIYQQolZkSzFx32rdrjnNO7UmMMqf1OxM3JxceL7f0xQXldCnTx+OHz9u7hCFEEKIeiOJnbinqFQqesR2IbRFE/wa+5B8JYMAT1+ef3AMubm5xMbGkpCQYO4whRBCiHohiZ2452i1WvoNjMU/Mgz3QFeSMzKI8gtjTJ8RXL16lV69epGcnGzuMIUQQog6J4mduCfZ2Fjz0OC+eDUOwsbNhpTMK7QLbcXg7gO4dOkSDzzwgMzWE0IIcc+RxE7cs1zdnOn3SB98IoOosFTIyM0mrlkMvdr24MKFC8TExEhyJ4QQ4p4iiZ24pwUG+9O9T3cCmoaQqysmp6CAYV0G0b5ZG1JSUujZsycXLlwwd5hCCCFEnZDETtzzmrdqQqvObQhuEcLF3CwKCop4od8YmkY04fz588TExEhyJ4QQ4p4giZ24L3SN6UBY00gCogM5l3mJgtwC3hr+DxqFh3P+/Hl69uxJWlqaucMUQgghboskduK+oFariXu4J/4RIXg38uFMxiVyMnKY/vwHhIWFce7cOWJiYiS5E0IIcVeTxE7cN6ysrXjo0T54hwfi5OvEucsZXEq6xNy3ZxIaGsq5c+fo2bMnFy9eNHeoQgghxC2RxE7cV5ycHek3sDfejYNQO1hwMesqyQfP8sN/5hEaGkpycjIxMTGS3AkhhLgrSWIn7ju+/t707NsdvybBFCplZObm8PuWE/y08EdCQkJITk6mZ8+epKenmztUIYQQolYksRP3pcjoRrTr2pagFmFcLswjJy+fE78eZt2KVYSEhHD27FliYmIkuRNCCHFXkcRO3Lc6dGlD42aRBLUMISXrCjnZ+ZxYfYiNa9YRHBzM2bNnpedOCCHEXaXWid2CBQsoKSmpj1iEuKNUKhW9+/XAPzwEvyh/kq9cIutSFmc3xrN10yaCg4M5c+aMzJYVQghx16h1Yvf666/j7e3NmDFj2LNnT33EJMQdY2FpwUOP9MY7NADXIDeSr2RwIfEil/YksW3LVtOwbPfu3Tl//ry5wxVCCCFuqNaJXXp6OosWLSIrK4uYmBgiIyP5+OOPuXz5cn3EJ0S9s3ewo98jvfEKC8DCzYYLWVc5tT+RwtPpbN+2nUaNGpGSkkL37t05c+aMucMVQgghrqvWiZ1Wq+XRRx9l1apVpKWlMW7cOBYvXkxgYCADBgxg1apVGI3G+ohViHrj5e1Brwdj8I0MpkxrIDMvl4Mbj2BIz2X79u1ERUVx8eJFunfvzqlTp8wdrhBCCFGt25o84eXlRdeuXenUqRNqtZoTJ07w1FNPERYWxvbt2+soRCHujPDGIXTs1o7A5qFklhWQk5/Prp92o8ktYdu2bTRr1ozLly8TExPD8ePHzR2uEEIIUcUtJXZXrlzh008/JTo6mpiYGAoKClizZg3nz58nPT2doUOH8tRTT9V1rELUuzYdWhDVognBzcO4kJtFTm4+O5Zsx0ZvZNu2bbRu3ZqrV6/Ss2dPjhw5Yu5whRBCiEpUiqIotbmhf//+bNiwgcaNGzN27FhGjhyJq6trpTKZmZl4e3s3yCHZgoICnJycyM/Px9HR0dzhiAaooqKCVcvXk3w8kfTf04jw9iMw1JdeYx5Ep1XRt29f9u/fj5OTExs2bKBDhw7mDlkIIcQ9rDa5S6177Dw9PdmxYwcnT55kwoQJVZI6AA8PD5lBKO5aWq2Wfv0fwDskAI9QT5IzL3Mx5TL7V+zAVq1h06ZNdOvWjfz8fGJjY9m5c6e5QxZCCCGAW0jsevToQevWrauc1+v1fPPNN8C19cGCgoJuPzohzMTWzpaHHonFK9QfWw87LmRlknTsHCfW7cVao2XdunU88MADFBUV0bdvX7Zu3WrukIUQQojaJ3ajR48mPz+/yvnCwkJGjx5dJ0EJ0RC4ebjS+6Ge+EQEUWEFl/Nyid99muSdR7HWWrBmzRr69u1LSUkJDz30EOvXrzd3yEIIIe5ztU7sFEVBpVJVOX/x4kWcnJzqJCghGorg0AC6xHQgsHkYOeXFZOcXsH/jEdIP/46VhQU///wz/fv3p6ysjAEDBrBixQpzhyyEEOI+pq1pwVatWqFSqVCpVPTq1Qut9n+3GgwGzp8/T9++feslSCHMqXnraHJz86nQV3DuSBJWFhr2/HqQB+xtcY8OZ/ny5fztb39j2bJlDB06lHnz5jFq1Chzhy2EEOI+VOPE7pFHHgEgPj6euLg47O3tTdcsLS0JDg5m8ODBdR6gEOamUqno1rMj+XmFVOj0nDuRglajZe+afXSztsSlUTA//PADDg4OzJ8/3/S6wssvv2zu0IUQQtxnapzYvfPOOwAEBwfz+OOPY21tXW9BCdHQaDQa4h7uSVFhMfpSHefOXUGrUnN04yHaWVriEOTL119/jZOTEzNmzGDChAnk5+fz1ltvVfvqghBCCFEfapzY/UEWHhb3K2trKx56JJYVpWXoSso4f/UqqlMq7J3taWqpxc7Xi2nTpuHi4sLbb7/NO++8Q15eHtOmTZPkTgghxB1Ro8TO1dWVpKQk3N3dcXFxueEfqZycnDoLToiGxtnFibiHH+AXnZ7UkjNkFOSh2Z+AnaMNYZ0ssPFw5a233sLJyYmXX36ZGTNmkJ+fz1dffYVGozF3+EIIIe5xNUrsZsyYgYODg+l/S++DuJ/5B/rQI7YzWysMJB9KwLqwiEPbTmBrZ41fmyZYOTvy0ksv4eTkxNNPP838+fMpKCjgu+++w8rKytzhCyGEuIfVekuxu51sKSbqyu4dBzi85wjJBxMJcfXE092F7gM74tWsERb2dgCsXLmSYcOGodfriYuLY8WKFdjZ2Zk5ciGEEHeT2uQuNeqxKygoqPHDJVkS94tO3dqSl5tPua6c88fOYaHVcmDTEbpYanGLboTW2opBgwaxZs0aHnnkETZs2EBcXBxr1qzB2dnZ3OELIYS4B9UosXN2dr7p8OsfCxcbDIY6CUyIhk6tVtO7Xw8KC4ooL9ORnJSBRq3m2K6TtLbQ4hIZhsbSgt69e7Np0yYeeughdu/eTc+ePdmwYQOenp7mboIQQoh7TI0Su23bttV3HELclSytLHlwYCwrSsrQFZeRciUTNSrsneyI1GpxjghBrdHQuXNntm/fTp8+fYiPj6dLly5s2LCB0NBQczdBCCHEPUTesROiDly+lMmqZetIPXYGS50Kf1c32vdsTmDTEJzCg1Cpr+3ed+bMGfr06UNKSgre3t6sW7eOli1bmjd4IYQQDVptcpda7xULsHPnTv72t7/RuXNn0tPTAfj222/ZtWvXrVQnxF3P29eTnn264hcdQqGxjKziQg7/dpKrKRkUpqTzx/enRo0asXv3bpo3b87ly5fp0aMH27dvN2/wQggh7hm1TuxWrFhBXFwcNjY2HDlyBJ1OB0B+fj5Tp06t8wCFuFs0jgqjXadWBLdsREZBLnmlJRzYEk/epcsUp182lfP19WXHjh10796dgoIC4uLiWL58uRkjF0IIca+odWL3z3/+kzlz5jB37lwsLCxM57t06cKRI0fqNDgh7jbtOrUiomkjgluEkXL1CnmFJRzYdIyCi1couZJlKufs7MyGDRsYNGgQer2eoUOHMmfOHDNGLoQQ4l5Q68QuMTGR7t27Vznv5OREXl5eXcQkxF1LpVLRs083AsIC8I0K5OzlS2RnF3Bs9ykK0zIoy8k3lbW2tmbp0qWMHz8eRVF47rnnePfdd7nPXnsVQghRh2qd2Hl7e3P27Nkq53ft2iUz/IQALCy09BsQi0+wL66BHpy9ksHFlEyS4s9SkJKGvqDIVFaj0TB79mzeeecdAN577z2ee+45WTZICCHELal1Yjdu3Dhefvll9u/fj0ql4tKlSyxevJjXXnuN5557rj5iFOKuY2dvS78BsXiF+WPpYsuF7CySTlwgPTmD/OQLVJSUmcqqVCreffddZs+ejUql4ssvv2To0KGUlZXd4AlCCCFEVTVax+7PXn/9dYxGI7169aKkpITu3btjZWXFa6+9xosvvlgfMQpxV/LwcqN3v+6sK6/g/JFErhTkc2xPAnYO1qg0alwiQ9FYWprKP/vss3h4eDB8+HBWrlxJ3759WbVqFU5OTmZshRBCiLvJLa9jp9frOXv2LEVFRTRp0gR7e/u6jq1eyDp24k47cvA4u7fvJ/lAAoGuHng6O9H1oTY4uLngEhGCWlv5+9X27dsZOHAgBQUFNGvWjLVr1+Lv72+m6IUQQphbva9jB2BpaUmTJk1o3779XZPUCWEOrdo2I7p5JMEtw0nJvEJeUQmHthynrKCI/LMXMBoM6AuLKMvJQ19YRI8ePfjtt9/w9vbmxIkTdOzYkePHj5u7GUIIIe4CNRqKHTRoUI0rXLly5S0HI8S9SKVS0SO2MwX5hZTr9Jw9kYKFRkP8zt9p0TGCoosZoFajGIyotWqsnJ2IDA5m3759PPjgg5w6dYquXbuyYsUKevfube7mCCGEaMBq1GPn5ORkOhwdHdmyZQuHDh0yXT98+DBbtmyRd4GEuA6NRkNc/wfwCfbDI8yHM5cukn7hKr/vPklZdh4GnQ6trTUqrZbSrByyTybh7ejMrl27iImJobCwkAcffJCFCxeauylCCCEasFq/Y/f//t//Iycnhzlz5qDRaAAwGAz8/e9/x9HRkU8++aReAq0r8o6dMKec7DxW/riG1BPnKM8sJNjVnahoX6wstZQrYOdki7ufK+gVbLzccW8ZhV6v5+mnn+b7778Hri2J8tZbb6FSqczcGiGEEHdCbXKXWid2Hh4e7Nq1i4iIiErnExMT6dy5M9nZ2bWP+A6SxE6Y24WUi6xespaze09irVhiq7LGQnvtS5LWQoOrmz1NmgfiH+qNV4eWWDrYYzQaefPNN/noo48AGD16NF9++WWl3V+EEELcm+p18kRFRQUJCQlVzickJGA0GmtbHbNmzSI4OBhra2s6dOjAgQMHblg+Ly+P559/Hh8fH6ysrGjcuDFr166t9XOFMJfAYH86dmyBlY2W85evkJmfT3ZRIeXo0Rv0XLmcx75diVxISsegLwdArVYzdepU5syZg1qtZsGCBTz00EMUFBSYuTVCCCEaklqvYzd69GjGjBlDcnIy7du3B2D//v3861//YvTo0bWqa8mSJbz66qvMmTOHDh06MHPmTOLi4khMTMTT07NKeb1eT+/evfH09GT58uX4+fmRmpqKs7NzbZshhFlFRoah1WsoN1SQmJmKRqNFrVJhY22Jq509bqVOnD6RRovBlXegGD9+PP7+/gwdOpRNmzbRvXt3fv31V/z8/MzUEiGEEA1JrRO7Tz/9FG9vb6ZNm0ZGRgYAPj4+TJw4kX/84x+1qmv69OmMGzfOlBDOmTOHX3/9lfnz5/P6669XKT9//nxycnLYs2ePaQgqODi4tk0QwuyuXspGVaGiuLwMnVKBpkLB1dYejCoy8/PILylBo1GT/vt5Gnu6VXqf7qGHHmLHjh08/PDDHDt2jI4dO7J27VqaNWtmxhYJIYRoCGo9FKtWq5k0aRLp6enk5eWRl5dHeno6kyZNMk2mqAm9Xs/hw4eJjY2tVHdsbCx79+6t9p7Vq1fTqVMnnn/+eby8vGjatClTp0694b6aOp2OgoKCSocQ5lZSUEJqzlWsLS1wsLbBQquhUFeKGhVWaktKdTouZGeSk3aFgnNpGP/y/+Nt27Zl3759REZGcvHiRbp27cqGDRvM1BohhBANxS0vUAzg6Oh4yxMQsrKyMBgMeHl5VTrv5eXF5cuXq73n3LlzLF++HIPBwNq1a3nrrbeYNm0a//znP6/7nI8++qjSci0BAQG3FK8QdanUaKBQV4a9jQ3uTs5oNWpUaigoK6ZCMaJRacgtLqKgpBhdbj65p5Mr7S8L13qr9+zZQ/fu3SkoKOChhx5i9uzZZmqREEKIhqBGiV3r1q3Jzc0FoFWrVrRu3fq6R30yGo14enry1Vdf0aZNGx5//HGmTJnCnDlzrnvPG2+8QX5+vulIS0ur1xiFqAl7TycsrCwwGlRYWGpxd3HBwsIClYWaQn0p+ooKDIrCmaR08nMKqCjTkZuQTGlWbqV6XFxc2LhxIyNHjjQtOzRhwoQb9mILIYS4d9XoHbuBAwdiZWUFwCOPPFInD3Z3d0ej0XDlypVK569cuYK3t3e19/j4+GBhYVFpyDcqKorLly+j1+ux/NOG6n+wsrIyxS5EQ+HgaI93iA/ZqZmUFuuxtNLi4exMdkEBJeVllCnlWFhoKSsqY++2k0S1CCIg1IfClIuUFxXjEOiLSn3te5mVlRULFy4kMjKSyZMn85///IezZ8/yww8/4ODgYOaWCiGEuJNqlNi5uLig/r8/IqNHj8bf39/0862ytLSkTZs2bNmyxZQsGo1GtmzZwgsvvFDtPV26dOH777/HaDSanp+UlISPj0+1SZ0QDZWPnxct2jfjoO4wlFRQWliK0WDEycYee3t78nQleHq7kVlaiDbPgpOHz5GTVUB0i1DIyqWipBTH0EC01te+tKhUKt544w0aNWrEk08+ya+//kqXLl1Ys2YNgYGBZm6tEEKIO6VGCxRrtVouXbqEp6cnGo2GjIyMapcjqa0lS5bw1FNP8eWXX9K+fXtmzpzJ0qVLSUhIwMvLi5EjR+Ln52dalDUtLY3o6GieeuopXnzxRc6cOcPTTz/NSy+9xJQpU2r0TFmgWDQU586ksHjBCnKy87C3tkajUmNQjBSVlWFra423rxcqICMxDesKFX5u7ji42NG8TTjOHs6oNRocgv2wdqm8ld/BgwcZMGAAly9fxsvLi9WrV5uWJhJCCHH3qU3uUqMeO19fX1asWMGDDz6IoihcvHiRsrKyasvWpnfg8ccf5+rVq7z99ttcvnyZli1bsn79etOEigsXLlTqGQwICGDDhg288sorNG/eHD8/P15++WX+3//7fzV+phANRWijYEaMHszWDbs4l5xKqa4MSytLoptH8ECfrgQE+bFrxwHUGjW56VkkXUonqNyTAztP0Sjan+BwPwqSL1Du5Y69n5dpaLZdu3bs37+f/v37c/z4cXr06ME333zDkCFDzNxiIYQQ9a1GPXZfffUVL774IhUVFdctoygKKpWqwb+0LT12oqExGo1kpF+huLgEOztbfPy8Kn2hOZN4jh2b91CQnU9GQhqedk54ODvhHehGk+bBWNnZYmlvi2NoAJo/vZJQWFjIsGHD+PXXXwH45z//yeTJk2WPWSGEuMvUy16xhYWFpKam0rx5czZv3oybm1u15Vq0aFH7iO8gSezE3aggv5BNa3dwKS2DjKSLaMoMBHl64ujiQLNWIbh6uaKxsMAhxB8rp/9NmDAYDEycOJEZM2YA8OSTTzJ37lyZUCSEEHeRekns/rBo0SKeeOKJu/YPgyR24m5lMBg4tO8YRw4cI+fiVXLTsgj29MTJ0YGwSF9CG/ujtrDAzscDWx/PSj1zc+bM4YUXXsBgMNC5c2dWrFhx3dnnQgghGpZ6TezudpLYibvdxQsZbFn/G9kZV0lPSMPN2h4fdze8/F1p0iIYG3s7rBztcQwJQG3xv9doN23axNChQ8nLy8Pf359Vq1bV+9qTQgghbl9tcpfbW7NECHHH+Qf6MPTJgUS2jCS4ZTjFmgqS0tK4eP4KB3aeJutSJrr8QnJOn0VfVGy6r3fv3uzfv5+IiAjTNmRLliwxY0uEEELUNUnshLgL2dhY029AL2LiuhLYLBR7X2cS0tNIT8/kyL6znP39PPriEvISz1NyOYs/OuYbN27M/v376devH6WlpTzxxBNMmTIFo9Fo5hYJIYSoC5LYCXGXUqlUNGsZxWPD+xPWojF+0cFczM8m+WI6iScvcnRfAsX5BRRezKAg+QLGimsz1p2cnPjll1+YNGkSAFOnTuXRRx+loKDAnM0RQghRB2qd2L3//vuUlJRUOV9aWsr7779fJ0EJIWrOzcOVwcP706ZrK4JbhlNuqeJUaioXzl/h4O5EMi9cpiw3j9zTZykvKQVAo9Hw8ccf8+2332JlZcXq1avp1KkTycnJZm6NEEKI21HryRPX23kiOzsbT09PWcdOCDNKTkph28adXDl3icwLmfi7uOHt6UZwqCdhkYFY2FhjH+CDtbuLadbsgQMHePTRR7l06RIuLi4sW7aMXr16mbklQggh/lCvkyf+WIj4r44dO4arq2ttqxNC1KGwxsE8PvJRojo0JTA6mMtFeSScv0DS6XSO7EugMDuXgtSLFKakY/y/L2Ht27fn4MGDtG/fntzcXOLi4vjss8+4zybMCyHEPaFGW4oBuLhc+4avUqlo3LhxpeTOYDBQVFTEs88+Wy9BCiFqzsHRnkeG9OPw/mPssznI5bPpnDx/npLSMoqLdUQ28cPbqFBRUopjWCBaayt8fX3ZsWMH48eP55tvvuGll17i2LFjfP7551hbW5u7SUIIIWqoxkOxixYtQlEUnn76aWbOnImT0/82Hre0tCQ4OJhOnTrVW6B1RYZixf3k0sXLbPp1O2kJKWReyMTL0ZkAHy+CQtwJjwrCwtYGx2A/rF2dgWs98jNmzGDixIkYjUbat2/P8uXLCQgIMG9DhBDiPlavCxTv2LGDzp07Y2FhcVtBmoskduJ+U1amY9vGXfx+8HcyzqajMUAjfz+8fVxp0jwIe1cnbL3csff3RvV/e9Ru3LiRYcOGkZOTg4eHB0uXLiUmJsa8DRFCiPtUnSd2BQUFpoputiRCQ0+WJLET9yNFUTh1IpFt63eSkXSRwuwCQrx98PNxo1GEL74hPlg4OOAUGoDGyhKA8+fPM2jQIOLj49FoNHzyySdMmDCh2ndshRBC1J86T+z+PBNWrVZX+w/7H5MqZFasEA1XdlYuG37ZwrljZ7ly4Qpudg6E+vsSGOROeHQgVvb2OIb4Y+V87XejpKSE8ePH89133wEwfPhwvvrqK+zs7MzZDCGEuK/UJnep0eSJrVu3mma8btu27fYjFEKYhZu7C0P+9gh7Ag9wcNtBLp/LID7pLCVlOgoKS4lqFoSxogI7X0/sfL2wtbXlm2++oX379rz66qt8//33nDx5kpUrVxIWFmbu5gghhPiLWr9jd7eTHjshrjl/NpUNq7aQdjqV/Kx8gjw8CPT3JjzCB99gb6xdnHEMDUDzf+/T7ty5kyFDhnDlyhWcnZ35/vvv6devn5lbIYQQ9756nTzx22+/3fB69+7da1PdHSeJnRD/U1RYzMZftnJq/0kyL17F3tKaxsEBBAa60yg6EGsnR5xCA7B0sAcgPT2dxx57jH379qFSqXj//feZPHkyarXsTiiEEPWlXhO76v4B/+uadg2ZJHZCVGY0Gjmy/zjbf93BlfMZ6Ev0NA7wx9/PnahmgTh5uGIf4IOtlzsqlQqdTseECROYM2cOAAMHDmTRokWVlkASQghRd+p154nc3NxKR2ZmJuvXr6ddu3Zs3LjxloMWQpiHWq2mbaeWjHjuCSLaReHg7sDvqamcTEjh8IEzpCWlUXA+jfzkVIwVFVhZWTF79mzmzZuHpaUlq1atok2bNsTHx5u7KUIIcd+rs3fsduzYwauvvsrhw4frorp6Iz12QlxfWZmOret+48j2Q1xNz8JSpSEqNIjAAHcimgZh4+qMU1ggFna2ABw8eJAhQ4aQmpqKlZUVs2bN4umnn5YlUYQQog7Va4/d9Xh5eZGYmFhX1QkhzMDa2op+j8QyaMyjBEYFgqWGIwlJ/H76Aof3JZKVeomc02cpzcxGURTatWvHkSNHeOihh9DpdIwdO5ann36akpISczdFCCHuS7XusTt+/HilnxVFISMjg3/9619UVFSwa9euOg2wrkmPnRA1k5Odxy8/rOXssUSyr+Th6eRE4xB/wht5ExDmh62XBw7Bfqg1GoxGIx9//DFvvvkmRqORZs2asXz5cho3bmzuZgghxF2v3idPqFQq/npbx44dmT9/PpGRkbWP+A6SxE6ImquoqGDnpr3sWreTrIwc1AaF6LBgAgPdiYgOwt7DDafwILQ21sC1dS6HDRvGlStXcHBwYN68eQwZMsTMrRBCiLtbvSZ2qamplX5Wq9V4eHhgbW1d+0jNQBI7IWrv3JkUVn+3hkvJ6RQVFBPq60tooBdRTQNx9fHAKTQQazdnADIyMnjiiSdMSyO9/PLL/Pvf/8bS0tKMLRBCiLtXvSZ2dztJ7IS4NUWFxfzyw1pOHThJztU8nO3siAoNIryxN4Hhftj7euMQ6ItKraaiooI333yTjz/+GLjWo79kyRICAwPN3AohhLj71OvkiZdeeon//ve/Vc5//vnnTJgwobbVCSHuEvYOdjw+djAP/e0hfIK9Ka7Qc+DEaY7Gn+fEwSRyklPIPX0Wg06PVqvlX//6F6tXr8bZ2Zl9+/bRunVr1q1bZ+5mCCHEPa3Wid2KFSvo0qVLlfOdO3dm+fLldRKUEKJhUqvVdIxpz5jXRhMeHYaNoy3HziRz5EQyh/YmkZGUSvaJBHR5BQD079+fI0eO0Lp1a7Kzs3nwwQeZNGkS5eXlZm6JEELcm2qd2GVnZ1e7wryjoyNZWVl1EpQQomHzCfBm7KTRdIztgIe3KxezsjlwPIFDB89y9sQ5sk8mUpiWgWI0EhISwu7du3n++ecB+OSTT+jevTspKSnmbYQQQtyDap3YhYeHs379+irn161bR2hoaJ0EJYRo+KxtrHlk5ACGjB2MX7AP5SqFAydOcyQ+mWMHk8hKSCY3IRmDvhxra2s+//xzVqxYgZOTE/v27aNVq1asXLnS3M0QQoh7ira2N7z66qu88MILXL16lQceeACALVu2MG3aNGbOnFnX8QkhGjCVSkXzDs3xDfZj5bwVnEtI5WRyCtl5BRQVlREZXUJFSSnOjUOxdLRn0KBBtG7dmieeeIL9+/czePBg/v73vzNt2rS7Zma9EEI0ZLc0K3b27Nl8+OGHXLp0CYDg4GDeffddRo4cWecB1jWZFStE/SgvL2fzii3s2bKX3Kx8LNRamoYHEdnYn+DGvjiFBmPn64lKpaK8vJw333yTf//73wC0aNGCpUuXyoLGQghRjXpb7qSiooLvv/+euLg4vLy8uHr1KjY2Ntjb29920HeKJHZC1K+E+ARWf/sLl9OvUlpUSqMgPyJC/YlqGohLkB9O4UGotdcGC9atW8fIkSPJysrCzs6O2bNn8+STT5q5BUII0bDU6zp2tra2nD59mqCgoNsK0lwksROi/uXn5LNy3koST54lL6cAdydHmoUHE9U0AO9gX5wjwrB0sAPg0qVLjBgxgu3btwPw1FNP8fnnn99VXxiFEKI+1es6du3bt+fo0aO3HJwQ4t7n5OrEU/94irhHeuHl405ecQm7j51i374EEo+e4erRkxRfvoqiKPj6+rJ582bee+891Go1ixYtom3btvLvjBBC3IJa99gtXbqUN954g1deeYU2bdpgZ2dX6Xrz5s3rNMC6Jj12QtxZ50+d46eFP3PxwmVKikoI9vUmulEQUc0CcQvxxyk8GLVGA8COHTsYPnw4ly5dwsLCgqlTp/Lqq6+iVtf6O6gQQtwz6nUotrp/YFUqFYqioFKpMBgMtYv2DpPETog7r6SgiJ8X/MyJownkZhfgZG9D8/AQopsF4Rvmh0tkIyzsbADIyspi7NixrFq1CoDY2FgWLVqEr6+vOZsghBBmU6+JXWpq6g2vN/R37ySxE8I8FKPC3nW72LxmO1ev5GA0GIkKDqBZk2DCovxxjQjH1sv9WllFYe7cuUyYMIHS0lLc3NyYN28eAwcONHMrhBDizqvXxO5uJ4mdEOZ1MSmVnxauIiUlnaL8Yvy93GjeOJQmzYPwaBSEU1gQqv8bGUhISGD48OGm9+3Gjx/P9OnTsbW1NWcThBDijqrzxG716tX069cPCwsLVq9efcOyAwYMqF20d5gkdkKYX1lRCWu//ZVDB46Rm1WArbUlzcKDadEiFL/G/rhENcbC5tqCxTqdjjfffJNPP/0UgMjISL7//ntatWplziYIIcQdU+eJnVqt5vLly3h6et7wJWZ5x04IUVOK0cjRrQdZv2orGZeuYiivoFGALy2bhtKoSSBuTRpj4+FqKr9p0yaeeuopMjIysLCw4KOPPuKVV16RiRVCiHueDMXegCR2QjQsl5MvsurbXzhzJpXC/CI8XZxoFRVG0xYheEWE4BgaaBqarW5ixcKFC/Hz8zNnE4QQol7V6zp2QghRl7zD/Bn12ih6PtAJDy9XsvKL2HH4BDu2H+Psgd+5evQkFWVlALi7u/PTTz8xZ84cbGxs2Lx5M82aNePHH380cyuEEKJhqHFit3XrVpo0aUJBQUGVa/n5+URHR/Pbb7/VaXBCiPuDlb0N/UY9zONPPkJImB+KSs2RhGS2bD/C8X2nyThwlLLsHODaKx/jx4/nyJEjtGnThtzcXIYNG8awYcPIyckxc0uEEMK8apzYzZw5k3HjxlXbBejk5MT48eOZMWNGnQYnhLh/qDUamsW0ZvRLf6NN6ybYO9px7lImm3cfYe/2k1zYG09BcgpGoxG4Noli7969vP3222g0Gn788UeaNWvGxo0bzdwSIYQwnxondseOHaNv377Xvd6nTx8OHz5cJ0EJIe5fHiG+PP7CMPr27YGXrzsFxWXsPPo7mzYfIXHvCbLiT2LQ6QCwsLDgvffeY8+ePTRu3JhLly4RFxfHCy+8QElJiZlbIoQQd16NE7srV65gYWFx3etarZarV6/WSVBCiPubtaMtPYf14YknH6FxxLUtx04kp7J+6yGO7jxJ+r4jlOXkmsr/sYf1Cy+8AMCsWbNo1aoV+/fvN1cThBDCLGqc2Pn5+XHy5MnrXj9+/Dg+Pj51EpQQQqi1GiK7NmfEs0/QqVNLHJ3tSb+aw6bdR9m55Rgpu49QcD7VNDRra2vLZ599xoYNG/Dz8yMpKYkuXbrw9ttvU15ebubWCCHEnVHjxO7BBx/krbfeouz/Zqf9WWlpKe+88w4PP/xwnQYnhLi/qVQqPEJ9GDh2EP0fegC/AC9KdHr2HDvFuvUHOb0znuzjv1Pxf0OzcO21kBMnTjB8+HAMBgMffPABnTp14vTp02ZsiRBC3Bk1XsfuypUrtG7dGo1GwwsvvEBERARwbcufWbNmYTAYOHLkCF5eXvUa8O2SdeyEuDsZyis4t/8Um9fvJCHxPLoyHZ7ODrRvGUWLtuF4NovEytWl0j1Lly7l2WefJTc3FysrK95//33+8Y9/oNFozNQKIYSovXpboDg1NZXnnnuODRs28MdtKpWKuLg4Zs2aRUhIyO1FfgdIYifE3UtRFLLPXWL32l3sPXSc/NxCrC21NG8UQodOUfg3b4R9YECl3SguXbrE2LFjWbduHQAdOnRg4cKFREZGmqsZQghRK/W+80Rubi5nz55FURQaNWqEi4vLzW9qICSxE+LuV5JTyIlth9m2Yx9pFy6jKEaCvDzo1qkpjVo1wjWqERorK1N5RVFYuHAhEyZMoKCgACsrKz744ANeffVV6b0TQjR4sqXYDUhiJ8S9oUJfTsrBBHZu28+x44noynQ429vQoUUUrTtG4Nk8EitnZ1QqlemeixcvMm7cONavXw9Ax44dWbBggfTeCSEaNNlSTAhxz9NaWhDWuSkPP96XvrFdcHV3Jq+olK3741n7y17O7ThE0YU0lP+bNQvg7+/P2rVrmTdvHo6Ojuzbt4+WLVvy6aefYjAYzNgaIYSoG9JjJ4S46xVn5ZO46zjbdx3gXHIaRqMRX3cXundsTpMOkbhEhKGxsq50T1paGuPGjWPDhg0AdOrUiQULFpgmhgkhREMhPXZCiPuKnbsTzfp2YOAjfejauTVW1takX81l9aa9bFu9l/R98ZTl5vLn77EBAQGsW7eOr7/+GkdHR/bu3UvLli2ZNm2a9N4JIe5a0mMnhLhnKEaFzKQ0Tu07wfbdh8jMzEajUtEo0JcHerYiuE0k9v5+qNSVJ0ykpaUxduxY0z6z7dq1Y968eTRr1swczRBCiEqkx04IcV9SqVV4RQbStl9nBvWPpWl0I1CrSUxNZ+nK7Rz4dS/ZvydQ8ZeF1gMCAli/fj1ff/01Tk5OHDx4kNatW/PWW2+h+9Pix0II0dBJj50Q4p6kLykj7XASJ46eYte+oxQXlWJtqaV1dCN69GqFV9PGWLq4VJo1C9fWvXv++ef5+eefAYiKiuLrr7+mc+fOZmiFEEJIj50QQmBpa01ol6Z0eKADjz7cC39/L3TlBvYdO82SHzaTsPUgRWlpGA0Vle7z9fVl5cqVLFu2DC8vL06fPk3Xrl158cUXKSwsNFNrhBCiZqTHTghxz8u/lM2Fo0kcPHyCo8cSMFRU4GhrQ8/OzWkT0xKn8BAsbGyr3JeTk8Nrr73GggULAAgMDGTOnDn069fvTjdBCHEfkx47IYT4EydfNxr3aEmPHh14sE83HBztyS8p5ddtB1i1eAuXDh6nLCcbRTFWus/V1ZX58+ezceNGgoODuXDhAg8++CBPPvkkWVlZZmqNEEJcnyR2Qoj7gpW9DSFdm9KiY3MeG9CbkGB/Koxw5PRZvvtmPac2H6D4YjrGivIq9/bu3ZuTJ0/yyiuvoFar+e6772jSpAmLFy/mPhv0EEI0cDIUK4S47+SlZZJ+/BzHTiay7+BxKirKsbWypHv7ZnTu2w6n4EC0tnZVJlYAHDhwgDFjxnDy5EkAYmNjmT17NuHh4Xe6GUKI+4QMxQohxA04B3gS1q057Tu04NH+D+Dq7ExJmZ6Nu46wZN5aLh46gS4nu9J2ZH9o3749hw8f5sMPP8Ta2prNmzfTtGlT/vnPf8rSKEIIs5MeOyHEfctQXkHGifNcTclg574jJJ5JAcWIm6MDD/XtRHT3Fth4eqGxtKz2/rNnz/L3v/+dTZs2AdeWRpkzZw7du3e/g60QQtzrpMdOCCFqQGOhxa9VOEGtG9OrR0d69eiIhaUV2QWF/LhyC+u+20ju2WTKiwurfZcuPDycDRs28P333+Pp6cnp06fp0aMHY8aMITs72wwtEkLc7ySxE0Lc11QqFa7B3oR2aUqz5hEMeaQ3nh7u6MqNbN8bzzdf/MSFQyfR5VxFqWYPWZVKxbBhw0hISOCZZ54BYP78+URGRvLNN9/I5AohxB0lQ7FCCPF/DPoK0o8lk3vpKvsPneDYyURQjDja2vBgXEdaPtAGW09PNFbW161j9+7djB8/nt9//x2ABx54gNmzZ9O4ceM71QwhxD1GhmKFEOIWaCy1BLRtjF/TULp2bMVDcd2xsbGhoKSUZau28/P8X8lNTqG8MP+6PXFdunThyJEjfPTRR1hbW7N161aaNWvGlClTKCkpucMtEkLcb6THTgghqlGSU8DFI2fJy8ljy479pKVfRoWCv6cbg5/oTUDzcKycXVFrtdet49y5czz//POsX78euLZzxX/+8x8GDhxY7VIqQghRHemxE0KI22Tr6khot2Z4BfnwcFx3OrZrjlqj5WJmNnO/XMmeVb9RcvkSFaXX74ULDQ1l7dq1rFy5ksDAQC5cuMCjjz7Kww8/THJy8h1sjRDifiGJnRBCXIfWyoLAdpF4RwbRpkU0jzz0AA72DpToyvnpl9/44YufyT2fij4/t9o17+Da5IpHH32UU6dOMXnyZCwsLFi7di3R0dG88847lJaW3uFWCSHuZTIUK4QQNVB0NZ/0o2coLipm+85DJJ+/ACh4ujjx2LBYQltFXhuatbC4YT2JiYm88MILbN68GYCQkBD++9//8vDDD9+BVggh7kYyFCuEEHXM3sOJ0O7NcfF2p88DnejRtR1aCwsycwv4+quf2bpsKyVXMqgoKb7hEicRERFs3LiRpUuX4ufnx/nz5+nfvz8DBgzg/Pnzd7BFQoh7kSR2QghRQxbWlgR3bIJHuD/RkWEMGdgHNxdn9BVG1m7cw8KZS8i+ydAsXBueHTJkCAkJCUyaNAmtVssvv/xCkyZNeOedd2T2rBDilslQrBBC3ILCyzmkH0tGV1rG7n3x/J5wFhUKTg62DBkWR0TbSCydXdFYWt20rtOnT/P888+zbds2AAICAvjkk08YOnSozJ4VQtx9Q7GzZs0iODgYa2trOnTowIEDB2p0348//ohKpeKRRx6p3wCFEOIvHLxdCe3WDAc3Z3p0bUvcA12wsrYiv6iU+XN/5tfFGyi5coXyov9tR6YoCga9jorSEgx6nel8VFQUW7ZsYdmyZQQGBpKWlsYTTzxBTEwMx44dM2czhRB3GbMndkuWLOHVV1/lnXfe4ciRI7Ro0YK4uDgyMzNveF9KSgqvvfYa3bp1u0ORCiFEZZa21gR3jsY12Juw0ACGPNIPb08PDAps23GEOZ98x9Vzqehzs6koKaYo4yJJew5wdPNvJO05QFHGRQxl12bFqlQqHnvsMRISEnjvvfewsbHht99+o3Xr1jz33HNkZWWZubVCiLuB2YdiO3ToQLt27fj8888BMBqNBAQE8OKLL/L6669Xe4/BYKB79+48/fTT7Ny5k7y8PH7++ecaPU+GYoUQ9SE/PYtLx89RUV7OoSO/c+T4aRTFgK21FYOG9MLCQmHbloMkp1xCpyvHysqCsBBfevXrSvPundBY21Sq78KFC0ycOJGlS5cC4OLiwvvvv8+zzz6L9gaLIgsh7j13zVCsXq/n8OHDxMbGms6p1WpiY2PZu3fvde97//338fT0ZMyYMXciTCGEuCknP3dCuzXD1sme9m2b0T+uB3Z2dhSX6fly9jI+/vd37D+UQGFeGQa9iqI8HQcOJbHgq5Wc3H2wykzawMBAlixZwvbt22nevDm5ubm8+OKLtGrViq1bt5qplUKIhs6siV1WVhYGgwEvL69K5728vLh8+XK19+zatYt58+Yxd+7cGj1Dp9NRUFBQ6RBCiPpgZW9DSNemOAd44ufnxZCBcQT6enMlO5f0zGwKCkqx0GiwttRiY22FjaU1aenZrF66ifKy6hcq7tGjB4cPH+aLL77A1dWVkydP0qtXLx599FHOnj17h1sohGjozP6OXW0UFhby5JNPMnfuXNzd3Wt0z0cffYSTk5PpCAgIqOcohRD3M7VGg1+LMHxbhGFnb0vLJuGoUKNVaymvqCDt8lVycgrQl+rRAtZaC04npnIh4fpr2Gm1Wp577jnOnDnDCy+8gEaj4eeff6ZJkya8+uqr5Obm3rkGCiEaNLMmdu7u7mg0Gq5cuVLp/JUrV/D29q5SPjk5mZSUFPr3749Wq0Wr1fLNN9+wevVqtFpttXsvvvHGG+Tn55uOtLS0emuPEEL8wSXAk5Au0RSWlKJWwNvRGa1Gg1FRyC4qJCM3l8KiUjSoKS7WkZGSfsOFjQFcXV357LPPOHbsGP369aO8vJwZM2YQHh7Of//7X8rLy+9Q64QQDZVZEztLS0vatGnDli1bTOeMRiNbtmyhU6dOVcpHRkZy4sQJ4uPjTceAAQPo2bMn8fHx1fbGWVlZ4ejoWOkQQog7wdrRDr+mYahUalSAt7Mzjja2qFVqyg0VZBUVcDknB72+HINejy4nC4Ou7KYJXnR0NGvXrmX9+vVER0eTk5PDyy+/TNOmTfnll19uer8Q4t5l9qHYV199lblz57Jo0SJOnz7Nc889R3FxMaNHjwZg5MiRvPHGGwBYW1vTtGnTSoezszMODg40bdoUS0tLczZFCCGq8A3wxdnenuJyHSpUONvZ4ePsgoO1LShQWq6nrLyc9T/9xuEtByi9mok+NxuDXnfTuuPi4oiPj2fOnDl4eHiQlJTEgP/f3n1HWVHfjR9/39779ga7sHQpggiCooIaH9FYMAaNrL/YIqKosT+PWBJFEKPRYI8SjRWMDQTFRUDpRRAVkLrAVth29+7urTO/P1ZvXJXLoiwLl8/rHM8JM8Pc79zJ0feZufOd887jjDPOkPnvhDhGdXjYXXLJJUybNo1JkybRv39/1q1bx7x58+IPVOzatYvy8vIOHqUQQvwyTped3vkFGA1G6oJNhKNRNBoNNpMJq8mIzWjGY7VTH2jitdc+4vH7/8naBatoqqpouYIXDifcv16v59prr2Xr1q3ccccdGI1GiouLGTBgAFdddZX8+1OIY0yHz2N3uMk8dkKIw6mxup4lr8xnxepv2LJ7F43BRmKKgkbVYDOZyU/PojAvkxpNmG279qAqCqqqkp3uY+SZJ9JrcE+MdjsGuwOt4cB3JXbs2MFdd93Fm2++CYDNZuPPf/4zt956Kw6Ho70PVwjRDg6mXSTshBCiHamKyqaPVlHy1Q6qahvYs6eC5lAIi8lEZkYqHpMBj8+Fr0smdfUBVq39im07dgEqqqqSm5nCyDNOpMeg7hgdDgx2J1qD4YCfu2zZMm655RaWL18OQFpaGvfeey9XX301hjb8fSHEkUPCLgEJOyHE4eYvr2HLp18Qamgipteh0PI7GF00hslhpdOJPYk0hajbsxclFqO6pp6Vq79kx67S7/ag0ik7ldPPGEz347tjdDpbruDpEweaqqq8/fbb3HXXXfE57woLC5k8eTIXXnghGo2mXY9bCHFoSNglIGEnhOgI/vIaStdtxV9ZgxKJoTXocGZ4ye7XFWemF4BoOELtzkpqdlYQDUfYV13H8hXrKdlThkYLGqBzdjqnnzGYbscXYnS50NscaA/wirFIJMLzzz/Pfffdx969ewEYMmQIU6dOlfdtC3EUkLBLQMJOCNFRVEWlqdZPNBhBbzZg9TjRaH961UyJKdSX7qN6exmhQDN799WybPk6dpWWo9GCVquhIDeT00cNoku/rpjc7jYFXkNDA9OmTWPatGk0NTUBcN555/Hwww/Ts2fPdjlmIcSvJ2GXgISdEOJooaoqgao6qreX0Vjtp7KqmqXLv2BPWSVarQatTkvXvJbAyz+uAJPXi95mR6tLHHjl5eXcf//9vPDCC8RiMbRaLX/84x+57777yM7OPkxHJ4RoKwm7BCTshBBHo+a6ANXby6kvq6asvIplK9ZRWl6JVqNBb9BR2DmL004fRKfenTH5vBjtTjQ6XcJ9btq0ibvuuot3330XaJkrdMKECdx55534fL7DcFRCiLaQsEtAwk4IcTQLNwWp2VFB7a4qdu0uY/mK9ZSVV6HRgMGop3tBDqeddjw5PTthTk3BaHeg0SYOvCVLlnDXXXfx2WefAeBwOLj11lu5+eabZYoUIY4AEnYJSNgJIZJBLByldlcl+3aUs2PrbpatXE9FRUvgmUwGenbNY8SpA8junoclLRWD3Z4w8FRVZd68edx9992sW7cOaHmf99133811112H2Ww+TEcmhPgxCbsEJOyEEMlEVVoetNi3rYzN32xl+covqazchwYwmgz06d6ZU07pR2a3XKzpaRjsDjTa/b90SFEUZs6cyT333MOWLVsAyM3N5d5776WoqAj9AR7QEEIcehJ2CUjYCSGSkaqqNO6rZ9+2Mjas+prlq79kb2U1oGI2GTiuZwEnn9KPjC7ZWDPTDxh4kUiEGTNmcP/991Na2jKfXvfu3fnLX/7CRRddhDbB3xVCHFoSdglI2Akhkl2wvpG920pZ8/kXrFi1gep9NaiKgsVspF/vLgwffhxpBdnYsjNaAk+z/0gLBoM89dRTPPTQQ1RXVwPQv39/7r//fs4991yZ5FiIw0DCLgEJOyHEsSLSHGLf9jKWF69kxaovqd5XCzEFi8XEgD5dOGn4caR1zsSWnYnB4UwYaX6/n8cee4xHH32UhoYGAAYNGsQDDzzAb37zGwk8IdqRhF0CEnZCiGNNLBKlemcFS+YtZdnyL6irqUeNtVzBG3BcIcOH98HXKQN7TtYBA6+6uppp06bxxBNPxCc5HjJkCA888ACjRo2SwBOiHUjYJSBhJ4Q4VqmKSs3uKhbNXsSyz9dSX9eAEotiM5sZcFxXhg37QeA5EwdeVVUVU6dOZfr06QSDQQBOPvlkHnjgAU499dTDdERCHBsk7BKQsBNCHOtUVcVfWcOCdxfy+aJVNMQDz8TA47oxdHhvvLnp2HOzMR4g8MrLy5kyZQrPPPMMoVAIgNNOO40HHniA4cOHH65DEiKpSdglIGEnhBD/Faip55NZxXy2YAUN9QGUWBS7yczxfQsZclIvfLnp2DvlHDDwSktLmTx5Ms899xyRSASAM844g0mTJkngCfErSdglIGEnhBA/1VgfYP7MT1j8yTIC/gBKNIbdbOL4PoWcOLQHvk4ZOHJzMLpdCQNv165dPPjgg7z44otEo1Gg5QrepEmT5BatEL+QhF0CEnZCCLF/jQ2NfDxzPp/NX06gvgElGsNhMnN8n64MHtISePZO2Zjc7oSBt2PHDh5++GFeeuml+BW8U045hUmTJnH66afLQxZCHAQJuwQk7IQQ4sAaA018POsTPv94KQ11DajRGE6zhf69Cxh4QndSOqfj7JSLyes54BW8KVOm8MILLxAOhwE46aSTmDRpEmeeeaYEnhBtIGGXgISdEEK0XWOgiY//U9wSeDUNqNEoLquV/t3y6T+okLSCTBz5uZgPEHilpaVMnTqV5557Lv4U7QknnMCkSZM455xzJPCESEDCLgEJOyGEOHgN/gCfvLuAJfOX01DjR4lGcVtt9CvMp1//fFK7ZuHMz8OS4j3gU7TTpk3j6aefprm5GYDjjz+e//3f/+X888+XV5UJ8TMk7BKQsBNCiF+urrae4tmLWPbJChqq/SiRCD6bnT6FnejTpzNpXTLxdO2MOdV3wHnwHn30UaZPn05jYyMAPXr04M477+TSSy/FYDAcrkMS4ognYZeAhJ0QQvx6NdW1LJizmBULVtNQXU8sHCHFbqdP10706JFLWkEGvu4FWNJ8aBJchdu3bx9PPPEETz75JHV1dQDk5eVx2223ceWVV2KxWA7TEQlx5JKwS0DCTgghDp19VdUUf/gZqxevIVDtJxYKk2J30KdLJwoLs0jtnE5K7y7Y0lMTBp7f7+eZZ57hb3/7G5WVlQCkpaVx0003MX78eFwu1+E6JCGOOBJ2CUjYCSHEoVdVuY/i2Yv4YtmXBKrriTWHSHE46dMlj4LO6aTkpZPWtyu2zDS0Ot1+99Pc3MyMGTOYOnUqO3fuBMDpdDJhwgQmTpxIWlraYToiIY4cEnYJSNgJIUT7KS+tpHjOYjas+opATQPRpiBpThd9CnLJzUnBl5NKRv9CHNmZaPX7D7xIJMKbb77J5MmT+eabbwCwWCxceeWV3HLLLeTn5x+uQxKiw0nYJSBhJ4QQ7W/PrjKK5yxm4xebWgKvOUS6w0nvLrnkZPhwZ3nJ7FuIKz8brV6/3/0oisL777/PQw89xKpVqwDQarVcfPHF3HbbbQwcOPBwHZIQHUbCLgEJOyGEODxUVWV3SSnFsxex+cstNNYFiDV9F3gFeWSmu3Gmucno0wVv907oEjwJq6oqCxYs4JFHHuGjjz6KLz/99NO5/fbbZbJjkdQk7BKQsBNCiMNLVVV2bt9N8exFbPl6G83+RpTmEOl2F70KckhPceHwOknrnU9q7wL0JlPC/a1fv55p06bx+uuvE4vFAOjbty+33XYbl1xyiUyVIpKOhF0CEnZCCNExVFVl25adFM9ZzPaNOwg2NKEEI6TbHfTqnE1aqhurw0pqj06k9y3EaEs81UlJSQmPP/44zz//fHwuvNzcXG655Rauuuoq7Hb74TgsIdqdhF0CEnZCCNGxFEVhy6btFM9ZTMm3uwg2NUMwQrrdSc9O2aSmODFbzPgKc8gc0A2zy5Fwf7W1tTz99NP8/e9/p6qqCgC3280111zDDTfcQE5OzuE4LCHajYRdAhJ2QghxZFAUhU3fbOXTOYsp2bqHcHMQTThKht1Fj9wMUnxODCYjns6ZZA3oji3Nk3B/wWCQV155hWnTpvHtt98CoNfr+d3vfsfNN9/MoEGDDsdhCXHISdglIGEnhBBHllgsxsavvuXTuZ+ze9sews0hdFGFTKebwqw0UrwO9EYDzuw0sgYU4spJT7g/RVGYM2cOf/vb31i4cGF8+SmnnMLNN9/Mueeeiy7BXHpCHGkk7BKQsBNCiCNTNBrl6y83s3Du55TuKCMcDGFQIdvlpiA9BZ/XiV6vx5bmIaNvF7wFOWh1+3+bBcDatWt57LHHeOONN4hGowB06dKFm266iSuuuEJ+hyeOChJ2CUjYCSHEkS0SibLhi29Y9NESyksqiARDmLQ6clxuOqf68Hjs6PV6TG47GX26kNqjEzrD/ufCAygtLWX69Ok888wz1NbWAv/9Hd6ECRPIzc09HIcmxC8iYZeAhJ0QQhwdIuEI69d8zeL5SynfVUk0GMJs0JPn8dHJ58btsqHT6zFYraT17ER6nwIMlsRTpTQ2NvLyyy/z2GOPsWXLFgB0Oh0XXHABN9xwAyeffLLMhyeOOBJ2CUjYCSHE0SUUDLFuzVd8Nn8ZlburiIbC2MwmOnl95HpdOO0WdHo9OpMJX9ccMvt2wexKfIv1+9/hPfbYY3z66afx5f369ePGG29k7NixWCyJp1sR4nCRsEtAwk4IIY5OwWCItSu/5PP5y9lbtpdIKIzTaqZzaiq5Hjc2swGd3oDWoMfdKZPMvl2wpboPeAXuq6++4sknn+SVV16hubkZAJ/PxzXXXMN1110nt2lFh5OwS0DCTgghjm5NTc2sWb6epZ+uYF9ZNZFQGLfNSkFmOjkeFxa9Dq1Oj1avx57pI+O4LrhzUtFoEz9oUVNTwz//+U+mT59OSUkJ0HKb9sILL+TGG29k2LBhcptWdAgJuwQk7IQQIjk0BppYtewLli9cTXX5PiLhMF6Hgy7ZGeR6XBg1GjRaHRq9DqvPTXqfArydMw74oEUsFuODDz7giSeeaHWbtn///owfP55LL70Um83W3ocnRJyEXQISdkIIkVwa/AFWLl3LysVrqa6oJhoK43M76ZabTY7PgT4GoEWj02Fy2Unr1ZmULtkHfNACYMOGDfHbtMFgEACXy0VRURHjx4+ne/fu7XtwQiBhl5CEnRBCJCd/fQMrlqxh1WdrqamoJRoOk+px0T0/l1yfE11EIRYDjU6HwW7F1zWHtG65mF0HvvpWU1PDjBkzeOqpp9i2bVt8+ciRIxk/fjznnXceen3iK4FC/FISdglI2AkhRHKrraljxWdrWLt8PTUVtcQiEdK8broX5JKb4kYXVYgEo2h0OvRWM+68DNK652FLdR3wN3SKojB//nyeeuopZs+ejaIoAGRnZ3Pttddy1VVXkZmZeTgOUxxDJOwSkLATQohjQ/W+WpZ/tpovln9JbVUtSiRKhs9Dz8JO5Ka60UZjhAIR0GjQW83YM1JI656LMyvlgG+0ACgpKeHZZ5/lhRdeYO/evUDLu2kvvPBCrr32Wk477TR52EIcEhJ2CUjYCSHEsWVvZTXLPlvFl6u+prayFiUaJTPVS69uncnL8KINR2n2h1BV0FnMWH1uUrvl4MlLR2c88O3VUCjE22+/zfTp01m6dGl8eWFhIddccw1FRUWkpqa25yGKJCdhl4CEnRBCHJsqyqtYtngVX6/ZSG1VHWosRlaqj17dOtMpx4c2FKWpPkgsqqAzmzC5HaR0ycabn4HRam7TZ6xbt45nn32WV199lYaGBgCMRmP8Kt6IESPkKp44aBJ2CUjYCSHEsa1sTwVLF69k4xffUre3FmIK2ekp9OyWT+fcFHSRKI11QSLBCDqTEYPDhrdzJr6CTCzuxG+0+F4gEOCNN97g2WefZfXq1fHl3bt355prrmHcuHGkpKS01yGKJCNhl4CEnRBCCFVVKd1dztJFK9n85daWwFMUctLT6Nm9M/l5KegVlcbaZoINQbRGA0aHDUemj5SCLOzpnjZfeVu7di3PPvssr732GoFAAGi5ijdmzBiuvvpquYonDkjCLgEJOyGEEN9TVZWSHXtYtmglW77ZTn1VHRpVJTczjV7dO9OpUypGFRprgzTWBdDqDRgcVqw+NykFmbhyUn/yoIWqqDTV+okGI+jNBqweJxqthoaGBl5//XWeffZZ1q5dG9++S5cuXHnllRQVFZGVlXW4vwJxFJCwS0DCTgghxI+pqsqOrSUsXbyK7Rt3Ure3Fh2Qm5lOrx4FdM7zYdJpaawNEqhuAK0Wg92KyeXA1zkDT+d09EYD/vIaStdtxV9ZgxKJoTXocKZ7ye7fFWemN/55a9as4bnnnuP111+P/xZPq9XyP//zP1x55ZWcc845GAyGDvo2xJFGwi4BCTshhBD7o6oqW7/dwfLFq9mxeSd1e+vQazR0ysqgZ8+WwLPo9QTqmmnY6yemqBjsNox2Kyabheqd5URDEUw2Ezq9llhUIdQYwmS3UHjagFZxB9DY2MjMmTP55z//yeeffx5fnp6eTlFREX/84x/l7RZCwi4RCTshhBAHoigKWzZtZ9niVZRs2U393joMWi2dsjPo2TOfTp1SsRr1NNUH8VfVEw5GCdQECAWCmKxGDEYtWp0WrVaL1mQkElbwdc2mx5knoNH+/O/pNm3axIsvvsi//vUvqqqq4suHDx/OlVdeyZgxY7Db2/bwhkguEnYJSNgJIYRoq1gsxuZvtrL8szXs3rqH+n11GHVaOudk0rNnAXmdUrEYdPgr/WxfuZVYJIJGoyEYU0CrwWwx4XCY0Wi06KxW+o45BZvPlfAzI5EIc+bM4Z///Ccffvhh/O0WNpuNMWPGcMUVV3DKKaeg1R54EmWRHCTsEpCwE0IIcbCi0Sgbv9rCis/XsGd7Kf59dZj0ejrnZNGzZz5ep5ny1dtpDobYXV5LRU0doUgUk9FAuttFZpobp9PGgEvPIKVL2x+QKC0t5V//+hczZsxgy5Yt8eWdO3emqKiIcePGUVBQ0B6HLI4gEnYJSNgJIYT4pSKRKN98uYkVS9ZStqOc+n11WIwGsr0+tDXNlFbXUrKvisZwMzFFQYsGq8FMfmo6fTplUzikF978LJyZXpyZPgxmY5s+V1VVli1bxowZM3jzzTfx+/3xdSNGjOCKK66QW7VJTMIuAQk7IYQQv1YkHGHD+o2sXLKWipIKasr3UVlSRV1jAL1Og9tmx2jQE4lGaWhuRqtqGVRQwOmnD8LsdqK3mNHq9Vi9DlxZPhwZ3jZHXnNzM++++y4zZsxg/vz5fP+fcavVypgxY7j88ss57bTT0Ol07fkViMNIwi4BCTshhBCHSigY4ssvvmHB+wv4ZM5imoIhrEYTdrMVq8mITqdFo0JtU4BUl4sbrvsdNquVproAkXAMndn0k8hzZnjRtzHydu/ezSuvvPKTW7VZWVlcdtll/OEPf6Bv377tdfjiMJGwS0DCTgghxKG2ZN5n/PXux4nFYiiKiqIo6LU6zAYjJoMRrRZCsSgTrr+EAQN7EgtGiIajNNY2/mzk2XwOnJltj7zvb9W+/PLLvPXWW9TW1sbX9e3bl8svv5xLL71UJkA+SknYJSBhJ4QQ4lBb8elKptzzd9xWK82hIPWNzcSiLZGnqio6rZaoonDWqScxaHAfUtLdeHwOLEYDsVCEWChKY10jTXWNREIxdBYTerMJrcFw0JEXCoX48MMPeeWVV5g9ezaRSARomQB55MiRXH755VxwwQXye7yjiIRdAhJ2QgghDrXdJaX83/gHiDVHcNqtxKJRGpuDNIdDBMMRmkNhVKBbtwJS3C5SPG7SfB58KW5SMjz4fE7sNhNKKEos/F3k1Ta2XMlrFXlOnN/frjUd+M0UNTU1zJw5k1deeYUlS5bEl1utVs4//3zGjh3LmWeeidHYtlu/omNI2CUgYSeEEOJQUxSFxx+YzrJPV+GwWDFbjGi1WhRFobExSE1DPXld8+jVrweB+gCBugCN9QGMej2pHhepPi8+jwtfhhuvz4nLYYGYQjQUpem7yAuHY+jjkafH5nMdVORt376dV199lVdeeaXV7/G8Xi8XX3wxY8eO5eSTT5b58Y5AEnYJSNgJIYRoD9u37OS5x2awa+tuDGjRabXEFIUICp0K87j6piKyczMp2bGH7VtLKNmxG39NA411AQJ1DWiBFI+LVK8Xr8eJN9WFz+fA7bKj0xCPvMbaRiLhKHqL+b+Rl+LCldnydO2BIk9VVVauXMnrr7/OG2+8QWVlZXxdTk4Ov//97xk7diwDBgxAo/n5t2SIw0vCLgEJOyGEEO1l+5adfDJvMZs3fEtzUxCL1UyPvt0ZedbJFBR2brVtJBJl98497Ni2ix3bduGv9ROoCxCobUCJxEhxO0n1efG6nbi8Dnw+J263FZNeTzQSo7m2kca67yLPbEZvMaE1ttyudWX6cGR60RsTR14sFmPhwoW89tprvP3229TX18fXde/enbFjxzJ27Fi6devWHl+XaCMJuwQk7IQQQrQnRVEoL62ksbEJm81KZnb6AW9vxmIxyvZUsH1rCdu3lFBf66exviXywk0hvC4HqT4PPo8bh8OKN8WJx2XHZjEQjSrfRV7L07V6sxmdxYTOaMCe4sKZ6cOR4Tlg5AWDQebOncvrr7/OBx98QDAYjK/r378/l1xyCb/73e/kTRcdQMIuAQk7IYQQRzJFUags39sSeVtLqKuuI1DfSKDWTzDQjMtuI83nIcXjwWYz4/Y68HhsuGwWYor6o8gzobOYDzry/H4/7777Lq+99hqffPIJsVgsvm7QoEHxyMvLy2vvr0MgYZeQhJ0QQoijhaqq7KuqYfvWEnZsLWHf3hqa/I0EahtorA/gsFpI9XpI9XmwmM243VY8XgcuhwWNRktTbaDl6drIz0Relg9nuhedUZ9wDPv27eM///kPb731Fp9++imKosTXDRkyhEsuuYSLL76Y7Ozs9v46jlkSdglI2AkhhDha1VTXsWNbS+RVVuyjOdBMY20DgdoGzEZDS+R5PdgsZuwOMx6vA7fTikFvoKkuEJ9CRW8xoTOb0ZkOLvIqKyt5++23eeutt1i8eHH8dWYajYbhw4czZswYLrzwQnJycg7H13HMkLBLQMJOCCFEMvDXN7Q8eLG1hPLSSoJNQQK1DQTqGtCpGlK9HtJ8HmxWC1azsSXyXDbMZiPN30+GHI88EzqTEXuqG1emF0cbIq+srIxZs2bx1ltvtZojD2Do0KGMGTOGiy66iE6dOrXn13BMkLBLQMJOCCFEsmlqbGLn9t1s31JC6e5yQsFQS+TV+lEjMVI8blJ9Xpx2GwadFo/HgdttxW6zEPQ3J468DC86Q+LI2717N7NmzeLtt9/+SeQNGjQoHnldu3Ztz68haUnYJSBhJ4QQIpmFgqH4XHm7dpYSCoZorGu5XRttDuN1O0n1enE77ejQ4HbbcLttOBxWIo0hGmsbiUZaR54j1Y0zy4cj3XPAyCsrK+Odd95h1qxZLF68uNVv8vr16xe/XduzZ0+ZJ6+NJOwSkLATQghxrPh+rrztW3dRsmM3webgdw9f+AkFgrjtdlJ9XjwuB1oVHA4rHrcNh9OKGor+N/LMppYpVA4y8iorK3n33XeZNWsWn376aauna7t168YFF1zABRdcwAknnCBvvEhAwi4BCTshhBDHolgsRunu8u+esN1FU1MzwUATgdoGgg1N2M0WUn0evG4XOhWsZiNujx2n04o2ptJU1xJ5uu8mQ9aZjDjS3C1TqLQh8qqrq3nvvfeYNWsWxcXFhMPh+Lrs7Gx++9vfcsEFFzBixAgMhgO/Iu1YImGXgISdEEKIY92P58prqG8g3BwiUOunyd+IRW8i1efG53aj12gw6HV43C2RZ9Boaa7/dZHn9/v58MMPeeedd/jwww8JBALxdR6Ph9GjR3PBBRdw1llnYbVa2/vrOOJJ2CUgYSeEEEL814/nyqupriUajtBY1/KKM6NWT4rbTYrXjVGrQ4sGl9OK02XDpNMSDgS/izxT/P219lQ3riwf9jT3ASMvGAxSXFzMu+++y3vvvcfevXvj6ywWC2eccQbnnXceo0ePJj09vb2/jiOShF0CEnZCCCHE/v1wrryqin0osSiNdYH4NCpep4sUjxuLwQAxFbvdjMttx6LXEW0O/zfyvruadzCRF4vFWLp0Ke+88w7vvPMOO3fujK/TaDQMGTKE8847j/POO++YevhCwi4BCTshhBCibX48V54Si9HsDxCoC0BUwWVzkOp1YzUaUWMqVrMBl9uBxaBDDUWJRRV0FhP6767m/fB2rVavS/jZqqqyYcMG3n//fd577z1Wr17dan3Xrl3jkTds2DD0+sTReDSTsEtAwk4IIYQ4eD+eKy8ajRAKNBOoa0AJR3GYraR4PTjMZtSYglGnw+WyYTEZ0cWUXxV5AKWlpcyePZv333+f4uJiQqFQfJ3X6+Xss89m9OjRnHXWWXg8nvb8Kg67oy7spk+fziOPPEJFRQX9+vXjySefZPDgwT+77fPPP8/LL7/MV199BcDAgQN56KGH9rv9j0nYCSGEEL/Oj+fKi4RDRIIhGmsbiAQj2I0WfB4XTosFYipaiEeeXgUUtXXkpXtwZnjbHHmBQICPP/6Y999/n9mzZ1NdXR1fp9PpGDZsGOeccw6jR49Oilu2R1XYvfnmm4wbN45nnnmGE088kccff5yZM2eyefNm0tLSfrL9ZZddxrBhwzjppJMwm81MmTKFd955h6+//rpNLyCWsBNCCCEOnZ+bKy8WDtFYFyDcFMJqMONxOvHYbKCqEFVwOCxYzSYMGg1aNN89ePGDyMv04Uhztynyvv9d3pw5c5gzZ078ws/38vPz45E3YsQIzGZze30V7eaoCrsTTzyRE044gX/84x9AyyPYubm53HDDDdx5550H/PuxWAyPx8M//vEPxo0bd8DtJeyEEEKI9vGTufIam1AiEZobAgQbglgMJpw2Ox67DZ2qQYnGsFpN2MwmjBoNBr3+V0UewM6dO+ORt2DBgla3bK1WK6NGjeLss8/m7LPPPmreY3vUhF04HMZqtTJr1izOP//8+PKioiLq6up47733DriPhoYG0tLSmDlzJqNHj/7J+lAo1Oqk+v1+cnNzJeyEEEKIdvSTufLq/CjRCKHGZpoamjDrTdhNFrwOO3q0KJEYRqMem8WESavFZDS0TJ/yg8j7/ulara5tkdfY2EhxcTFz5sxh9uzZlJWVtVrfq1eveOQNHz4ck8nUHl/Fr3bUhF1ZWRnZ2dksXbqUoUOHxpfffvvtLFq0iBUrVhxwH+PHj+ejjz7i66+//tnLq/fddx/333//T5ZL2AkhhBCHx0/myttXgxKLEmkO0ljfiElnwGq04LXbMGr1KJEYWq0Wq9mIWafDajFisFrQmU0YrGacGV6cmd6DijxVVVm3bh1z585l7ty5LFu2rNUrzmw2GyNHjjwir+YdM2H38MMPM3XqVBYuXEjfvn1/dhu5YieEEEIcWVrPlbcXJRolGgrT5A9g0OixGMy4rVYseiNKJAoqWExGzHodVqsZs92Czmz+QeT5sKe52hx5ALW1tcyfP5+5c+cyb948KioqWq3v1asXZ555JmeddRannHJKh74B46gJu19zK3batGn89a9/5ZNPPmHQoEFt/kz5jZ0QQghx5Gg9V14FsUgUJRKmyd+EFg02vRmH2YzVYEKNKihRBaNRj9Wgx2o1Y3PZfnXkKYrC+vXr41fzli5diqIo8fUmk4lTTjklHnp9+vQ5rE/aHjVhBy0PTwwePJgnn3wSaPly8/LymDBhwn4fnpg6dSoPPvggH330EUOGDDmoz5OwE0IIIY5MP5wrb8+uMqLhcMvv8gLNqDEVm9GCVWdsmSsvqhCLxNDrtFgMemw2Mw6PA73FjMFqaYm8LB/2VDdanfagxlFbW0txcTEfffQRH330Ebt37261PjMzMx55o0aNIjU19VB+DT9xVIXdm2++SVFREc8++yyDBw/m8ccf56233mLTpk2kp6czbtw4srOzmTx5MgBTpkxh0qRJvPbaawwbNiy+H7vdjt1uP+DnSdgJIYQQR75Wc+Xt2EM4GESNRQk3BYlFYthMFiwaAw6TGWItkYeqwWpsiTyX14XBZsZos+DI8LX8Ju8XRJ6qqmzevDkeeQsXLqS5uTm+XqPR8Lvf/Y433njjUH8FcQfTLh3+/o1LLrmEvXv3MmnSJCoqKujfvz/z5s2Lv+h3165daLX/PQlPP/004XCYMWPGtNrPvffey3333Xc4hy6EEEKIdmIym+jWswvdenZpNVfezu27CDY1oUSj1Iea2Of3YzdbMWl0OEwWQopCY10DFfv8WAw67HYznopqqrdZ45HnyvRia2PkaTQaevToQY8ePZg4cSLBYJAlS5bw0Ucf8fHHH7N+/XoyMzMPwzfSNh1+xe5wkyt2QgghxNGr9Vx5JTQ1BFCiUWKRCOFgGLvJigkddr0JrQrRSIxYOIZRp8NhN+NJ9WBx2TDaLDgzfTgz2h55P6e8vBxFUdr0koRf6qi6FXu4SdgJIYQQyaHVXHlbduKvrUeJRlCiUcLBMDaTBTN6LFoDejREIzEioSgGjRa73Yw31Y3N48Bkt7ZEXqYPW4rrF0dee5GwS0DCTgghhEg+P5wrb/vWndRUVaNEI6ixKJFQBIvBhEVrwKTqMWi0RMMtkadVVew2M95UD84UFyan7b9P16a60Gj3H3mqotJU6ycajKA3G7B6nGi0h/5pWQm7BCTshBBCiOT3/Vx527eUUFVWiRKLokajRCMRTHojNp0JfUyDSaOLR54ajWG3mXGnultu2brt/326NqV15PnLa9j9xbeUbd5NuDmE0WIiq3suuQO64cz0HtJjkbBLQMJOCCGEOLZ8P1fe9i0llO8pIxaJoEajxGIxDFoddoMZQ1SDQdUSiyhEQlFi4QhWqxlPigtvuheb1xmPPCUaY+Wbn7JtUwmNjSEUVUGr0WKzmejSoxMn/n7kIY07CbsEJOyEEEKIY9f3c+Vt27KTPTv3EA2HUaNRFEVBr9FiN5oxxjToY99HXoRoKIrZbMST4sST6qFqRwXfbt5NVFHAoKIAWjRoFQ16nY5Bp/bn5P/3P4fstuxRNd2JEEIIIcThYrVZ6XVcd3od1z0+V962LTvZtX0XkWAQfySIqijoNFocdjMGixFTxIgSVdm7t45d2yuoKqumpjFATbCehmAzCioGvQ633U6a1cOm1Zvpf+4wnGnuw358EnZCCCGEOCb93Fx527aWULK1hGBjE/XfRZ5Wo8HhsGC2mwmFwuxt8LOzpoJwNIrVaMRiMqE3aNnn9+NvbEIDVG3dLWEnhBBCCNERDAY9BYWdKSjsHJ8rb9uWEnZs2UFTQwB/OEi9olDdXM22fWVElAhuix2NRotOo8VoMODR66n2N1BSXUkwGO6Q45CwE0IIIYT4AZ1OR17nHPI65zBi5FAqyqrYvmUn27bsoKqihoZwE3qtDn+4CaNej0ZnwoQBDRoseiMNoWbCRDtk7BJ2QgghhBD7odVqycrJICsng2GnnsiSBUtYt+JrIqEoiqISikbRaXVYFVBiMTRoMJgNmNzWDhmvhJ0QQgghRBtoNBo65eeSX5hNfbmfSChKJBbFqNcTi8aIKQo6kw5fpgenu2Nm3pCwE0IIIYRoo6xOOfTq1511oQ04YzqaGoLEFAWtVovdaSOijdK7fw+yOuV0yPgk7IQQQggh2kin03HGuSOpKKuitraerEwPep2OaCyGvzFApjeFUaNPR6fTdcj4jqy33AohhBBCHOEKe3fn8mvH0rN3IRElSl2ggYgSpVefbvzhmt9T2Lt7h41NrtgJIYQQQhykwt7dKejRlbKSPQT8AexOO1mdcjrsSt33JOyEEEIIIX4BnU5HbkGnjh5GK3IrVgghhBAiSUjYCSGEEEIkCQk7IYQQQogkIWEnhBBCCJEkJOyEEEIIIZKEhJ0QQgghRJKQsBNCCCGESBISdkIIIYQQSULCTgghhBAiSUjYCSGEEEIkCQk7IYQQQogkccy9K1ZVVQD8fn8Hj0QIIYQQ4sC+b5bvGyaRYy7sGhoaAMjNze3gkQghhBBCtF1DQwMulyvhNhq1LfmXRBRFoaysDIfDgUajabfP8fv95Obmsnv3bpxOZ7t9juhYcp6PDXKejx1yro8NR9t5VlWVhoYGsrKy0GoT/4rumLtip9VqycnJOWyf53Q6j4r/04hfR87zsUHO87FDzvWx4Wg6zwe6Uvc9eXhCCCGEECJJSNgJIYQQQiQJCbt2YjKZuPfeezGZTB09FNGO5DwfG+Q8HzvkXB8bkvk8H3MPTwghhBBCJCu5YieEEEIIkSQk7IQQQgghkoSEnRBCCCFEkpCwawfTp0+nc+fOmM1mTjzxRFauXNnRQxK/wuTJkznhhBNwOBykpaVx/vnns3nz5lbbBINBrr/+enw+H3a7nYsuuojKysoOGrE4FB5++GE0Gg033XRTfJmc5+RRWlrKH/7wB3w+HxaLheOOO47Vq1fH16uqyqRJk8jMzMRisTBq1Ci2bNnSgSMWBysWi3HPPfeQn5+PxWKhS5cu/OUvf2n1Wq5kPM8SdofYm2++yS233MK9997L2rVr6devH2eddRZVVVUdPTTxCy1atIjrr7+e5cuXM3/+fCKRCGeeeSaNjY3xbW6++WY++OADZs6cyaJFiygrK+PCCy/swFGLX2PVqlU8++yz9O3bt9VyOc/Joba2lmHDhmEwGJg7dy7ffPMNjz76KB6PJ77N1KlTeeKJJ3jmmWdYsWIFNpuNs846i2Aw2IEjFwdjypQpPP300/zjH/9g48aNTJkyhalTp/Lkk0/Gt0nK86yKQ2rw4MHq9ddfH/9zLBZTs7Ky1MmTJ3fgqMShVFVVpQLqokWLVFVV1bq6OtVgMKgzZ86Mb7Nx40YVUJctW9ZRwxS/UENDg1pYWKjOnz9fHTFihDpx4kRVVeU8J5M77rhDHT58+H7XK4qiZmRkqI888kh8WV1dnWoymdTXX3/9cAxRHALnnHOO+sc//rHVsgsvvFC97LLLVFVN3vMsV+wOoXA4zJo1axg1alR8mVarZdSoUSxbtqwDRyYOpfr6egC8Xi8Aa9asIRKJtDrvPXr0IC8vT877Uej666/nnHPOaXU+Qc5zMnn//fcZNGgQF198MWlpaQwYMIDnn38+vn7Hjh1UVFS0Otcul4sTTzxRzvVR5KSTTqK4uJhvv/0WgPXr1/P5559z9tlnA8l7no+5d8W2p3379hGLxUhPT2+1PD09nU2bNnXQqMShpCgKN910E8OGDaNPnz4AVFRUYDQacbvdrbZNT0+noqKiA0Ypfqk33niDtWvXsmrVqp+sk/OcPLZv387TTz/NLbfcwt13382qVau48cYbMRqNFBUVxc/nz/27XM710ePOO+/E7/fTo0cPdDodsViMBx98kMsuuwwgac+zhJ0QB+H666/nq6++4vPPP+/ooYhDbPfu3UycOJH58+djNps7ejiiHSmKwqBBg3jooYcAGDBgAF999RXPPPMMRUVFHTw6cai89dZbvPrqq7z22mv07t2bdevWcdNNN5GVlZXU51luxR5CKSkp6HS6nzwlV1lZSUZGRgeNShwqEyZMYPbs2Xz66afk5OTEl2dkZBAOh6mrq2u1vZz3o8uaNWuoqqri+OOPR6/Xo9frWbRoEU888QR6vZ709HQ5z0kiMzOTXr16tVrWs2dPdu3aBRA/n/Lv8qPbbbfdxp133snvf/97jjvuOC6//HJuvvlmJk+eDCTveZawO4SMRiMDBw6kuLg4vkxRFIqLixk6dGgHjkz8GqqqMmHCBN555x0WLFhAfn5+q/UDBw7EYDC0Ou+bN29m165dct6PIiNHjmTDhg2sW7cu/s+gQYO47LLL4v9bznNyGDZs2E+mLPr222/p1KkTAPn5+WRkZLQ6136/nxUrVsi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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import seaborn as sns\n", "\n", "# Give each pair its own color\n", "colors = sns.cubehelix_palette(n_colors=graph.number_of_edges())\n", "colors = dict(zip(graph.edges, colors))\n", "\n", "# Exponential reference\n", "xx = np.linspace(0, fids['cycle_depth'].max())\n", "plt.plot(xx, (1 - 5e-3) ** (4 * xx), label=r'Exponential Reference', color='black')\n", "\n", "\n", "# Plot each pair\n", "def _p(fids):\n", " q0, q1 = fids.name\n", " plt.plot(\n", " fids['cycle_depth'],\n", " fids['fidelity'],\n", " 'o-',\n", " label=f'{q0}-{q1}',\n", " color=colors[fids.name],\n", " alpha=0.5,\n", " )\n", "\n", "\n", "fids.groupby('pair').apply(_p)\n", "\n", "plt.ylabel('Circuit fidelity')\n", "plt.xlabel('Cycle Depth $d$')\n", "plt.legend(loc='best')\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": { "id": "6025a292d19b" }, "source": [ "## Optimize `PhasedFSimGate` parameters\n", "\n", "We know what circuits we requested, and in this simulated example, we know what coherent error has happened. But in a real experiment, there is likely unknown coherent error that you would like to characterize. Therefore, we make the five angles in `PhasedFSimGate` free parameters and use a classical optimizer to find which set of parameters best describes the data we collected from the noisy simulator (or device, if this was a real experiment)." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "execution": { "iopub.execute_input": "2025-05-30T10:19:21.806137Z", "iopub.status.busy": "2025-05-30T10:19:21.805765Z", "iopub.status.idle": "2025-05-30T10:19:21.930805Z", "shell.execute_reply": "2025-05-30T10:19:21.929916Z" }, "id": "baff45b4ad70" }, "outputs": [], "source": [ "import multiprocessing\n", "\n", "pool = multiprocessing.get_context('spawn').Pool()" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "execution": { "iopub.execute_input": "2025-05-30T10:19:21.934853Z", "iopub.status.busy": "2025-05-30T10:19:21.934124Z", "iopub.status.idle": "2025-05-30T10:22:22.869438Z", "shell.execute_reply": "2025-05-30T10:22:22.868452Z" }, "id": "a3aaf1dfce4e" }, "outputs": [], "source": [ "from cirq.experiments.xeb_fitting import (\n", " parameterize_circuit,\n", " characterize_phased_fsim_parameters_with_xeb_by_pair,\n", " SqrtISwapXEBOptions,\n", ")\n", "\n", "# Set which angles we want to characterize (all)\n", "options = SqrtISwapXEBOptions(\n", " characterize_theta=True,\n", " characterize_zeta=True,\n", " characterize_chi=True,\n", " characterize_gamma=True,\n", " characterize_phi=True,\n", ")\n", "# Parameterize the sqrt(iswap)s in our circuit library\n", "pcircuits = [parameterize_circuit(circuit, options) for circuit in circuit_library]\n", "\n", "# Run the characterization loop\n", "characterization_result = characterize_phased_fsim_parameters_with_xeb_by_pair(\n", " sampled_df,\n", " pcircuits,\n", " cycle_depths,\n", " options,\n", " pool=pool,\n", " # ease tolerance so it converges faster:\n", " fatol=1e-2,\n", " xatol=1e-2,\n", ")" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "execution": { "iopub.execute_input": "2025-05-30T10:22:22.873112Z", "iopub.status.busy": "2025-05-30T10:22:22.872854Z", "iopub.status.idle": "2025-05-30T10:22:22.878867Z", "shell.execute_reply": "2025-05-30T10:22:22.878223Z" }, "id": "c3961ac4e6c7" }, "outputs": [ { "data": { "text/plain": [ "{(cirq.GridQubit(5, 3),\n", " cirq.GridQubit(5, 4)): {'theta': np.float64(-0.8367987404054755), 'zeta': np.float64(0.10041558244274296), 'chi': np.float64(-0.07510134699446311), 'gamma': np.float64(-0.017183029157944202), 'phi': np.float64(0.004193753360909505)},\n", " (cirq.GridQubit(4, 3),\n", " cirq.GridQubit(4, 4)): {'theta': np.float64(-0.8474371212531532), 'zeta': np.float64(-0.10035248634877036), 'chi': np.float64(-0.07034612478660182), 'gamma': np.float64(0.050899749487735915), 'phi': np.float64(-0.041682247860173494)},\n", " (cirq.GridQubit(4, 3),\n", " cirq.GridQubit(5, 3)): {'theta': np.float64(-0.7552448278453846), 'zeta': np.float64(0.033253969974588855), 'chi': np.float64(-0.03479666867301002), 'gamma': np.float64(0.03136281359839602), 'phi': np.float64(-0.06806601866053645)},\n", " (cirq.GridQubit(4, 4),\n", " cirq.GridQubit(5, 4)): {'theta': np.float64(-0.7790601994013041), 'zeta': np.float64(0.032579693881346745), 'chi': np.float64(-0.02279511443835067), 'gamma': np.float64(0.00337801077356593), 'phi': np.float64(0.0352923155799907)},\n", " (cirq.GridQubit(5, 3),\n", " cirq.GridQubit(6, 3)): {'theta': np.float64(-0.758190997670132), 'zeta': np.float64(0.004304546463840975), 'chi': np.float64(-0.049149081691340135), 'gamma': np.float64(0.0020049245053540667), 'phi': np.float64(0.025945488060518777)}}" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "characterization_result.final_params" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "execution": { "iopub.execute_input": "2025-05-30T10:22:22.881404Z", "iopub.status.busy": "2025-05-30T10:22:22.881018Z", "iopub.status.idle": "2025-05-30T10:22:22.895972Z", "shell.execute_reply": "2025-05-30T10:22:22.895357Z" }, "id": "8fea4a364c79" }, "outputs": [ { "data": { "text/html": [ "
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layer_ipair_icycle_depthfidelityfidelity_variancepair
03030.9477310.486353(q(5, 3), q(5, 4))
130230.7017090.566718(q(5, 3), q(5, 4))
230430.4256460.372376(q(5, 3), q(5, 4))
330630.3199930.569926(q(5, 3), q(5, 4))
430830.1478490.373033(q(5, 3), q(5, 4))
02030.9151130.535602(q(4, 3), q(4, 4))
120230.7236670.910181(q(4, 3), q(4, 4))
220430.6026331.290147(q(4, 3), q(4, 4))
320630.2069820.624690(q(4, 3), q(4, 4))
420830.1527910.754035(q(4, 3), q(4, 4))
01030.9414100.458336(q(4, 3), q(5, 3))
110230.5969410.584236(q(4, 3), q(5, 3))
210430.4505040.671658(q(4, 3), q(5, 3))
310630.2910570.736265(q(4, 3), q(5, 3))
410830.1372210.470267(q(4, 3), q(5, 3))
00030.9372210.713884(q(4, 4), q(5, 4))
100230.6240460.664481(q(4, 4), q(5, 4))
200430.4019400.360504(q(4, 4), q(5, 4))
300630.2872340.252638(q(4, 4), q(5, 4))
400830.1583070.896154(q(4, 4), q(5, 4))
00130.9271360.574416(q(5, 3), q(6, 3))
101230.6256460.942312(q(5, 3), q(6, 3))
201430.4249990.287110(q(5, 3), q(6, 3))
301630.2598780.393276(q(5, 3), q(6, 3))
401830.1273630.260853(q(5, 3), q(6, 3))
\n", "
" ], "text/plain": [ " layer_i pair_i cycle_depth fidelity fidelity_variance \\\n", "0 3 0 3 0.947731 0.486353 \n", "1 3 0 23 0.701709 0.566718 \n", "2 3 0 43 0.425646 0.372376 \n", "3 3 0 63 0.319993 0.569926 \n", "4 3 0 83 0.147849 0.373033 \n", "0 2 0 3 0.915113 0.535602 \n", "1 2 0 23 0.723667 0.910181 \n", "2 2 0 43 0.602633 1.290147 \n", "3 2 0 63 0.206982 0.624690 \n", "4 2 0 83 0.152791 0.754035 \n", "0 1 0 3 0.941410 0.458336 \n", "1 1 0 23 0.596941 0.584236 \n", "2 1 0 43 0.450504 0.671658 \n", "3 1 0 63 0.291057 0.736265 \n", "4 1 0 83 0.137221 0.470267 \n", "0 0 0 3 0.937221 0.713884 \n", "1 0 0 23 0.624046 0.664481 \n", "2 0 0 43 0.401940 0.360504 \n", "3 0 0 63 0.287234 0.252638 \n", "4 0 0 83 0.158307 0.896154 \n", "0 0 1 3 0.927136 0.574416 \n", "1 0 1 23 0.625646 0.942312 \n", "2 0 1 43 0.424999 0.287110 \n", "3 0 1 63 0.259878 0.393276 \n", "4 0 1 83 0.127363 0.260853 \n", "\n", " pair \n", "0 (q(5, 3), q(5, 4)) \n", "1 (q(5, 3), q(5, 4)) \n", "2 (q(5, 3), q(5, 4)) \n", "3 (q(5, 3), q(5, 4)) \n", "4 (q(5, 3), q(5, 4)) \n", "0 (q(4, 3), q(4, 4)) \n", "1 (q(4, 3), q(4, 4)) \n", "2 (q(4, 3), q(4, 4)) \n", "3 (q(4, 3), q(4, 4)) \n", "4 (q(4, 3), q(4, 4)) \n", "0 (q(4, 3), q(5, 3)) \n", "1 (q(4, 3), q(5, 3)) \n", "2 (q(4, 3), q(5, 3)) \n", "3 (q(4, 3), q(5, 3)) \n", "4 (q(4, 3), q(5, 3)) \n", "0 (q(4, 4), q(5, 4)) \n", "1 (q(4, 4), q(5, 4)) \n", "2 (q(4, 4), q(5, 4)) \n", "3 (q(4, 4), q(5, 4)) \n", "4 (q(4, 4), q(5, 4)) \n", "0 (q(5, 3), q(6, 3)) \n", "1 (q(5, 3), q(6, 3)) \n", "2 (q(5, 3), q(6, 3)) \n", "3 (q(5, 3), q(6, 3)) \n", "4 (q(5, 3), q(6, 3)) " ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "characterization_result.fidelities_df" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "execution": { "iopub.execute_input": "2025-05-30T10:22:22.898382Z", "iopub.status.busy": "2025-05-30T10:22:22.897994Z", "iopub.status.idle": "2025-05-30T10:22:22.960267Z", "shell.execute_reply": "2025-05-30T10:22:22.959691Z" }, "id": "86da92e214d6" }, "outputs": [ { "data": { "text/html": [ "
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layer_ipair_ia_0layer_fid_0cycle_depths_0fidelities_0a_std_0layer_fid_std_0a_clayer_fid_ccycle_depths_cfidelities_ca_std_clayer_fid_std_ccharacterized_anglesthetazetachigammaphi
pair
(q(4, 4), q(5, 4))000.9963970.978769[3, 23, 43, 63, 83][0.9372369863247473, 0.603486575354616, 0.3908...0.006435[0.8373654245830773, 0.7626117727608737, 0.540...1.0000000.979359[3, 23, 43, 63, 83][0.9372209392366483, 0.6240459120266463, 0.401...0.016914[0.8449170438644752, 0.8151570201463895, 0.600...{'theta': -0.7790601994013041, 'zeta': 0.03257...-0.7790600.032580-0.0227950.0033780.035292
(q(5, 3), q(6, 3))010.9933900.978566[3, 23, 43, 63, 83][0.9319194321928461, 0.5993252602512172, 0.396...0.004169[0.7555470009340527, 0.8694722611659648, 0.442...1.0000000.978868[3, 23, 43, 63, 83][0.9271358192037465, 0.6256460086639644, 0.424...0.032520[0.757903518941013, 0.9707282971856956, 0.5358...{'theta': -0.758190997670132, 'zeta': 0.004304...-0.7581910.004305-0.0491490.0020050.025945
(q(4, 3), q(5, 3))100.9848900.979126[3, 23, 43, 63, 83][0.9229381414420993, 0.6099066797619135, 0.396...0.002974[0.6512165870475178, 0.7495258128131101, 0.599...0.9987280.979609[3, 23, 43, 63, 83][0.9414103330403554, 0.596940939209298, 0.4505...0.040335[0.6770067722403554, 0.7643547432551536, 0.819...{'theta': -0.7552448278453846, 'zeta': 0.03325...-0.7552450.033254-0.0347970.031363-0.068066
(q(4, 3), q(4, 4))200.9897580.978869[3, 23, 43, 63, 83][0.9279262706290095, 0.6045536404811271, 0.399...0.003652[0.7454408321693219, 0.6491440019785134, 0.510...1.0000000.982164[3, 23, 43, 63, 83][0.9151129153777275, 0.7236670305080033, 0.602...0.124084[0.7318604219617473, 0.954043362100862, 1.1358...{'theta': -0.8474371212531532, 'zeta': -0.1003...-0.847437-0.100352-0.0703460.050900-0.041682
(q(5, 3), q(5, 4))300.9983810.978630[3, 23, 43, 63, 83][0.937109300713093, 0.6039849939864905, 0.3962...0.002996[0.6768312662354677, 0.40887352450091935, 0.41...1.0000000.981076[3, 23, 43, 63, 83][0.9477307004443355, 0.7017090973358606, 0.425...0.050939[0.6973922807347877, 0.7528089200377759, 0.610...{'theta': -0.8367987404054755, 'zeta': 0.10041...-0.8367990.100416-0.075101-0.0171830.004194
\n", "
" ], "text/plain": [ " layer_i pair_i a_0 layer_fid_0 \\\n", "pair \n", "(q(4, 4), q(5, 4)) 0 0 0.996397 0.978769 \n", "(q(5, 3), q(6, 3)) 0 1 0.993390 0.978566 \n", "(q(4, 3), q(5, 3)) 1 0 0.984890 0.979126 \n", "(q(4, 3), q(4, 4)) 2 0 0.989758 0.978869 \n", "(q(5, 3), q(5, 4)) 3 0 0.998381 0.978630 \n", "\n", " cycle_depths_0 \\\n", "pair \n", "(q(4, 4), q(5, 4)) [3, 23, 43, 63, 83] \n", "(q(5, 3), q(6, 3)) [3, 23, 43, 63, 83] \n", "(q(4, 3), q(5, 3)) [3, 23, 43, 63, 83] \n", "(q(4, 3), q(4, 4)) [3, 23, 43, 63, 83] \n", "(q(5, 3), q(5, 4)) [3, 23, 43, 63, 83] \n", "\n", " fidelities_0 \\\n", "pair \n", "(q(4, 4), q(5, 4)) [0.9372369863247473, 0.603486575354616, 0.3908... \n", "(q(5, 3), q(6, 3)) [0.9319194321928461, 0.5993252602512172, 0.396... \n", "(q(4, 3), q(5, 3)) [0.9229381414420993, 0.6099066797619135, 0.396... \n", "(q(4, 3), q(4, 4)) [0.9279262706290095, 0.6045536404811271, 0.399... \n", "(q(5, 3), q(5, 4)) [0.937109300713093, 0.6039849939864905, 0.3962... \n", "\n", " a_std_0 \\\n", "pair \n", "(q(4, 4), q(5, 4)) 0.006435 \n", "(q(5, 3), q(6, 3)) 0.004169 \n", "(q(4, 3), q(5, 3)) 0.002974 \n", "(q(4, 3), q(4, 4)) 0.003652 \n", "(q(5, 3), q(5, 4)) 0.002996 \n", "\n", " layer_fid_std_0 \\\n", "pair \n", "(q(4, 4), q(5, 4)) [0.8373654245830773, 0.7626117727608737, 0.540... \n", "(q(5, 3), q(6, 3)) [0.7555470009340527, 0.8694722611659648, 0.442... \n", "(q(4, 3), q(5, 3)) [0.6512165870475178, 0.7495258128131101, 0.599... \n", "(q(4, 3), q(4, 4)) [0.7454408321693219, 0.6491440019785134, 0.510... \n", "(q(5, 3), q(5, 4)) [0.6768312662354677, 0.40887352450091935, 0.41... \n", "\n", " a_c layer_fid_c cycle_depths_c \\\n", "pair \n", "(q(4, 4), q(5, 4)) 1.000000 0.979359 [3, 23, 43, 63, 83] \n", "(q(5, 3), q(6, 3)) 1.000000 0.978868 [3, 23, 43, 63, 83] \n", "(q(4, 3), q(5, 3)) 0.998728 0.979609 [3, 23, 43, 63, 83] \n", "(q(4, 3), q(4, 4)) 1.000000 0.982164 [3, 23, 43, 63, 83] \n", "(q(5, 3), q(5, 4)) 1.000000 0.981076 [3, 23, 43, 63, 83] \n", "\n", " fidelities_c \\\n", "pair \n", "(q(4, 4), q(5, 4)) [0.9372209392366483, 0.6240459120266463, 0.401... \n", "(q(5, 3), q(6, 3)) [0.9271358192037465, 0.6256460086639644, 0.424... \n", "(q(4, 3), q(5, 3)) [0.9414103330403554, 0.596940939209298, 0.4505... \n", "(q(4, 3), q(4, 4)) [0.9151129153777275, 0.7236670305080033, 0.602... \n", "(q(5, 3), q(5, 4)) [0.9477307004443355, 0.7017090973358606, 0.425... \n", "\n", " a_std_c \\\n", "pair \n", "(q(4, 4), q(5, 4)) 0.016914 \n", "(q(5, 3), q(6, 3)) 0.032520 \n", "(q(4, 3), q(5, 3)) 0.040335 \n", "(q(4, 3), q(4, 4)) 0.124084 \n", "(q(5, 3), q(5, 4)) 0.050939 \n", "\n", " layer_fid_std_c \\\n", "pair \n", "(q(4, 4), q(5, 4)) [0.8449170438644752, 0.8151570201463895, 0.600... \n", "(q(5, 3), q(6, 3)) [0.757903518941013, 0.9707282971856956, 0.5358... \n", "(q(4, 3), q(5, 3)) [0.6770067722403554, 0.7643547432551536, 0.819... \n", "(q(4, 3), q(4, 4)) [0.7318604219617473, 0.954043362100862, 1.1358... \n", "(q(5, 3), q(5, 4)) [0.6973922807347877, 0.7528089200377759, 0.610... \n", "\n", " characterized_angles \\\n", "pair \n", "(q(4, 4), q(5, 4)) {'theta': -0.7790601994013041, 'zeta': 0.03257... \n", "(q(5, 3), q(6, 3)) {'theta': -0.758190997670132, 'zeta': 0.004304... \n", "(q(4, 3), q(5, 3)) {'theta': -0.7552448278453846, 'zeta': 0.03325... \n", "(q(4, 3), q(4, 4)) {'theta': -0.8474371212531532, 'zeta': -0.1003... \n", "(q(5, 3), q(5, 4)) {'theta': -0.8367987404054755, 'zeta': 0.10041... \n", "\n", " theta zeta chi gamma phi \n", "pair \n", "(q(4, 4), q(5, 4)) -0.779060 0.032580 -0.022795 0.003378 0.035292 \n", "(q(5, 3), q(6, 3)) -0.758191 0.004305 -0.049149 0.002005 0.025945 \n", "(q(4, 3), q(5, 3)) -0.755245 0.033254 -0.034797 0.031363 -0.068066 \n", "(q(4, 3), q(4, 4)) -0.847437 -0.100352 -0.070346 0.050900 -0.041682 \n", "(q(5, 3), q(5, 4)) -0.836799 0.100416 -0.075101 -0.017183 0.004194 " ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from cirq.experiments.xeb_fitting import before_and_after_characterization\n", "\n", "before_after_df = before_and_after_characterization(fids, characterization_result)\n", "before_after_df" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "execution": { "iopub.execute_input": "2025-05-30T10:22:22.962361Z", "iopub.status.busy": "2025-05-30T10:22:22.962138Z", "iopub.status.idle": "2025-05-30T10:22:23.595213Z", "shell.execute_reply": "2025-05-30T10:22:23.594579Z" }, "id": "583abc4f0c47" }, "outputs": [ { "data": { "image/png": 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", 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", 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3h507oWNHM6gnIiIi6ZOCXUYSt3jx1KnwySfkz2/Cnaen2WcxbJizOykiIiL3SsEuo3nySXj7bfNz9+6wYwfVq8OUKebSoEHw1VdO652IiIjcBwW7jGjAAGjYEK5fN5WKL1zghRegVy/z8PPPw65dzu2iiIiI3D0Fu4zIzQ0+/RSCg8122Nat4eZNxo2D2rXNJoomTcymChEREUk/FOwyqpw54csvIXNm+P576N8fT09TtLhQIXNYRatWcPOmszsqIiIiSaVgl5E99BDMnm1+HjMG5s8nV67YvLdqFfTr58wOioiIyN1QsMvoWrSA/v3Nzy+8ANu2Ub58bN4bO9bM2oqIiEjap2AnMHRo7GaKpk3hzBlatIC33jIPv/iiKX0nIiIiaZuCnYC7u6lvV7w4HDtmRvEiIxkyBBo3hogIk/dOnnR2R0VERCQxCnZiZM9uFtdlywY//wyvvoqbG8ydCyVKwIkT8MwzcO2aszsqIiIiCVGwk1glS8aeTDF5MsyYga8vLFsGOXLAxo3QuTNYlrM7KiIiIrejYCeOGjeGIUPMzy+9BBs2UKyYOW7MwwMWLIh9WERERNIWBTuJ7803zYkUN27As8/CiRM8/njssWNvvw0LFzq1hyIiInIbCnYSn5sbfPIJlCljdkw0awbXr9OlC4SGmiYdO8KmTU7tpYiIiNxCwU5uL2tWs5kiZnFdz55gWYweDU89ZSqjPP202UQrIiIiaYOCnSSsSBEz5+rmBjNnwqRJuLvD/PlQtiycPm2W5F2+7OyOioiICCjYyZ3UrQujR5ufX30VVq4kWzb4+mvIkwd+/x3atoWoKOd2U0RERBTsJClCQ6FTJ4iOhpYtYc8eChWCr74Cb29TDiXmVDIRERFxHgU7uTObzWyJrVkTwsPNIrvz53nkEZg1yzR5773Yn0VERMQ5FOwkaby9YelSCA6GQ4fs5VBat4ZBg0yTbt1g7VrndlNERCQjU7CTpMuVC5YvB19fc+xYjx5gWQweDM89B5GRJu8dPOjsjoqIiGRMCnZyd0qVMsdPxOyUff993Nxg9myoUgUuXIBGjcyfIiIikrqcHuwmT55MUFAQPj4+VK1alU13qHo7fvx4HnzwQTJlykSBAgV49dVXuX79eir1VgBo0ADGjTM/v/46LF9Opkym7F2BArBvHzzzDEREOLWXIiIiGY5Tg93ChQsJDQ1l8ODBbNu2jXLlylG/fn3OnDlz2/bz58+nX79+DB48mD179jBjxgwWLlzIm2++mco9F15+Gbp2BcuC1q1h504CA+Hbb2Nnajt3NhtpRUREJHU4NdiNGzeOF198kU6dOlGqVCmmTp1K5syZmTlz5m3b//rrr9SoUYM2bdoQFBREvXr1aN269R1H+SQF2GzwwQdQu7apUNy4MZw5Q5kyZo+Fh4cpZDxwoLM7KiIiknE4LdjduHGDrVu3EhISEtsZNzdCQkLYsGHDbZ9TvXp1tm7dag9yhw4d4ttvv6Vhw4YJvk9ERATh4eEON0kmnp6wZAkULQp//22ff61TB6ZPN02GD4dp05zbTRERkYzCacHu3LlzREVF4e/v73Dd39+fU6dO3fY5bdq0YciQITz66KN4enpSpEgRateunehU7IgRI/Dz87PfChQokKyfI8PLmdPslPXzg19/tU/PdugAgwebJj16wMqVzu2miIhIRuD0zRN346effmL48OF8+OGHbNu2jaVLl/LNN98wdOjQBJ/Tv39/wsLC7LdjOrU++T34ICxaBO7uMGcOjBoFmGDXvr05bqxFC9ixw7ndFBERcXVOC3a5cuXC3d2d06dPO1w/ffo0AQEBt33OwIEDadeuHV26dKFs2bI888wzDB8+nBEjRhCdwCp9b29vfH19HW6SAurWhYkTzc/9+8OiRdhsZhr2iSfMMrxGjUC5WkREJOU4Ldh5eXlRqVIlVq9ebb8WHR3N6tWrqVat2m2fc/XqVdzcHLvs7u4OgGVZKddZSZqXXjK7ZQHatYNff8XLyyzDK10aTpww4S4szLndFBERcVVOnYoNDQ1l2rRpfPLJJ+zZs4cePXpw5coVOnXqBED79u3pH+d0+caNGzNlyhQWLFjA4cOHWbVqFQMHDqRx48b2gCdONm4cPP20KWL39NPw119kzw7ffAMBAbBzp5mWjYx0dkdFRERcj4cz37xly5acPXuWQYMGcerUKcqXL8/KlSvtGyqOHj3qMEI3YMAAbDYbAwYM4Pjx4+TOnZvGjRszbNgwZ30EuZW7u6lzUrs2bNliihlv2EChQrn45ht47DFYtcqcKztjhqmaIiIiIsnDZmWwOczw8HD8/PwICwvTeruUdOoUPPKIKYNSowb88AP4+PDtt6bkXXQ0DBmiOnciIiJ3cjfZJV3tipV0JCDAHEPh5we//AIdO0J0NA0bwuTJpsmgQeaMWREREUkeCnaSckqVij2GYuFCGDAAgO7doW9f06RLF7P+TkRERO6fgp2krCeeiD2GYsQI+zEUI0Y41rjbuNGJfRQREXERCnaS8m49huK777DZTN578km4ds2UQdm3z7ndFBERSe8U7CR1DB5satvFDNH9/juenubAiocfhvPnoX59U+tORERE7o2CnaSOmCG6xx+HS5fMEN3x42TNatbYFStmNtA++SRcvOjszoqIiKRPCnaSemKOoShZEo4fN+EuPJzcueG772ILGDdtCtevO7uzIiIi6Y+CnaSuHDlMGZQ8eeD33+HZZ+HGDYKDYeVK8PWFtWvh+efNrK2IiIgknYKdpL6gIDP/miWLKVzcqRNER1OuHHz5ZezA3ssvQ8Yqny0iInJ/FOzEOSpXNunNw8McQdanD2CW4M2da5bkffgh6LQ4ERGRpFOwE+epXx9mzjQ/jx1rbphNsxMnmssDB8aWwRMREZHEKdiJc7VrB6NHm59ff92M3gG9esGbb5rL3brBsmVO6p+IiEg6omAnzvf669C7t/m5Y0dYtQqAd9+Fzp0hOhqeew7WrHFaD0VERNIFBTtxPpvNTMO2bAmRkdCsGWzdis0GH30ETZpARAQ8/TRs3uzszoqIiKRdCnaSNri5wSefmLNlL1+Ghg3h4EE8PGDBgtjLTz4Ju3c7u7MiIiJpk4KdpB3e3vDFF1CuHJw5YzZXnDmDj48pg1KlCly4AHXrwuHDzu6siIhI2qNgJ2mLry+sWGFq3R08aEbuLl8mWzZT17h0aXOebN26cPKkszsrIiKStijYSdoTGGjOGMuVC7ZutZ9O8cAD8P33EBxsMl/9+mYET0RERAwFO0mbiheH5cshc2aT5v47nSJvXrNpNuZc2UaNzNo7ERERUbCTtKxqVVi0KPZ0iv/OGCtSxIS7HDngt9/MJtqICGd3VkRExPkU7CRta9gQ5swxJVEmT4bBgwEoU8YsxcuSxYS8Nm3g5k0n91VERMTJFOwk7Wvd2oQ6gKFD4f33ATOg99VX4OUFS5dC166mmLGIiEhGpWAn6UOPHuYoCoDQUJg1C4A6dUydOzc3c+m118CynNhPERERJ1Kwk/TjzTdNcgPo0sXUvAOeeQZmzjSXx4+HgQOd0z0RERFnU7CT9MNmg/feiz1AtlUr+OEHADp0gA8+MM2GDYsd3BMREclIFOwkfbHZ4OOP7bXtaNoUNm4EoGdPGDPGNBs40Bw/KyIikpEo2En64+4O8+aZ4yeuXIEGDeDPPwEzUzt0qGn2+uuxey5EREQyAgU7SZ+8vc1W2EcegX//hXr14NAhAAYMgLfeMs169YLp053YTxERkVSkYCfpV9as8M03pqjdyZMOB8gOHWo2z4IpgzJ3rhP7KSIikkoU7CR9y5nTHDlWuLAZsatXD86fx2Yz6+1eesmUP+nQwRxiISIi4soU7CT9Cww0x08EBpq1dvXqwcWL2GwwaRK88ILZRNumDSxb5uzOioiIpBwFO3ENhQvD6tWQOzds22Y2VFy6hJsbfPQRtG1rjhxr0QK++87ZnRUREUkZCnbiOkqWNCN3OXLAb7/BU0/B1au4u8Ps2dC8eWyFlDVrnN1ZERGR5KdgJ66lXDmz5s7XF37+GZo0gevX8fAwFVIaN4br103mW7fO2Z0VERFJXgp24noqV4YVKyBLFnMyxX9DdV5eZgNF/fpw9aqZrVW4ExERV6JgJ66penVYvhx8fExJlDZt4OZNvL3NEbNxaxsr3ImIiKtQsBPXVbs2fPUVeHnBkiWm5klUFJkymctxw93PPzu7syIiIvdPwU5cW716sHgxeHjA/PmmWnF0dLxw17Chwp2IiKR/Cnbi+ho3NqHOzQ1mzjTnjFmWPdzVq6dwJyIirkHBTjKGFi3gk0/AZoMpU+D11+3h7ssvFe5ERMQ1KNhJxvH88/Dxx+bnceOgf3+FOxERcSkKdpKxdOkCH3xgfh41Kl64q19fGypERCT9UrCTjKdnT3OILCQY7mLq3CnciYhIeqJgJxlTr163DXc+PvHD3dq1Tu2piIhIkinYScZ1F+Fu1Sqn9lRERCRJFOwkY7tDuGvYEK5dMxVTli93ak9FRETuSMFOJJFw98UX8MwzEBFh/lyyxLldFRERSYyCnQgkGO68vGDhQmjVCm7ehJYtYd4853ZVREQkIQp2IjESCHeenjB3LnTsCFFR0K4dzJjh1J6KiIjcloKdSFwJhDt3dxPmevQAyzLl8CZPdm5XRUREbqVgJ3KrW8Nd375gWbi5mTD36quxzcaMcV43RUREbqVgJ3I7ccPde+9B795gWdhsMHYsvPmmeeiNN+Ddd53WSxEREQcKdiIJ6dULpkwxP0+cCN26QXQ0NhsMGwZDh5qHBg6Et94yU7QiIiLOpGAnkpju3WHWLHBzg2nTzA6KmzcBGDAgdip2+HAIDVW4ExER51KwE7mTjh1NjRN3d/j0U2jTBiIjAXjtNfjgA9Ns/HizqeK/3CciIpLqFOxEkqJVK1i0CDw9zZ/Nm5uqxUDPnjBzphnUmznT1Lr77yEREZFUpWAnklTPPANffQU+PrBsGTRpYg6TBTp1MnnPywuWLjVHkF2+7OT+iohIhqNgJ3I3GjSAb76BzJnhu++gUSN7gmvWzDyUJQusWgV168KFC07ur4iIZCgKdiJ364knTKjLlg1++gnq14ewMABCQuCHHyBHDvjtN6hVC06edG53RUQk41CwE7kXjz5qElz27PDrrybR/Tc898gjsHYtBATAn3+apocPO7e7IiKSMSjYidyrKlVgzRrIlQu2bIHHH4fTpwEoWxZ++QWCg+HQIahRA3btcnJ/RUTE5SnYidyP8uXNdGxAAPzxhxmeO3IEgMKFYf16KFPGTMc+9hhs3OjMzoqIiKtTsBO5X6VLw7p1EBQEf/1lwt3u3QDkzWumZatWNTO1derA6tXO7a6IiLguBTuR5FC0qBmeK1UKjh83w3ObNwOQM6dZjhcSAleuQMOGsGSJk/srIiIuScFOJLnkywc//wwPPwznz5vds2vWAJA1Kyxfbkqi3LgBLVrEHkMrIiKSXBTsRJLTAw+YudYnnjD17Ro0MEWNAW9vWLgQunY1Z8q+9BIMHKjzZUVEJPko2Ikkt2zZTKXipk3N2WLPPgtz5gDg4QFTp8I775im774LL76o82VFRCR5KNiJpAQfH3PGWIcOEBVl/pw4EQCbDQYNgo8+MufLzphhTiv773QyERGRe6ZgJ5JSPDxg5kx45RVz/5VXzFDdf3OvXbuac2V9fMz6uzp1zNI8ERGRe6VgJ5KS3Nzg/fdhyBBz/+23oXdviI4GoEkTxyPIatSAv/92Wm9FRCSdu6dgd+jQoeTuh4jrstnMLon/pmKZOBHatTPbYzFhbt06yJ8f9u2D6tVh504n9ldERNKtewp2RYsW5fHHH2fu3Llcv349ufsk4pr+9z/49FMzRTt/PjRqBJcuAVD62hY2FHiO0oWvceIE1KxpChuLiIjcjXsKdtu2beOhhx4iNDSUgIAAunXrxqZNm5K7byKu5/nn4euvIUsWMwdbu7Y5X3bOHPJvWMS6kHd49FEIC4N69WDxYmd3WERE0hObZd17Fa2bN2+ybNkyZs+ezcqVKylevDidO3emXbt25M6dOzn7mWzCw8Px8/MjLCwMX19fZ3dHMqrNm02Nu/PnTWHja9fMmWN58nDti5W0HRDEF2tyYLPBmDHw6qtmRldERDKeu8ku97V5wsPDg2bNmrFo0SJGjRrFX3/9xeuvv06BAgVo3749J0+evONrTJ48maCgIHx8fKhateodR/4uXrxIz549CQwMxNvbm+LFi/Ptt9/ez8cQSX0xp1OAOYLswgXz89mzZKpRkUVrctGTD7AseO01M4sbFeW87oqISPpwX8Fuy5YtvPTSSwQGBjJu3Dhef/11Dh48yKpVqzhx4gRNmjRJ9PkLFy4kNDSUwYMHs23bNsqVK0f9+vU5c+bMbdvfuHGDunXrcuTIERYvXsy+ffuYNm0a+fLlu5+PIeIcc+eCuzsxQ+aRePCHVYYo3HD3cGPSpzkYO9aM1E2ebGrdXbni1B6LiEhaZ92DsWPHWmXKlLE8PT2tJk2aWF9//bUVFRXl0ObYsWOWu7t7oq9TpUoVq2fPnvb7UVFRVt68ea0RI0bctv2UKVOswoULWzdu3LiXbluWZVlhYWEWYIWFhd3za4gklyXvHbQeZLf1HXUtC6wbeFgv87615L2D9jaLF1uWj49lgWVVqmRZJ044scMiIpLq7ia73NOI3ZQpU2jTpg1///03X375JU899RRubo4vlSdPHmbMmJHga9y4cYOtW7cSEhJiv+bm5kZISAgbNmy47XOWLVtGtWrV6NmzJ/7+/pQpU4bhw4cTpTkqSYeWLoXmbwSzjwd5iuXMpS2e3GQCr7LxjUUsXWLG8p59Fn78EXLlgq1b4ZFHYNcuJ3deRETSpHsKdqtWraJv374EBgY6XLcsi6NHjwLg5eVFhw4dEnyNc+fOERUVhb+/v8N1f39/Tp06ddvnHDp0iMWLFxMVFcW3337LwIEDGTt2LO+++26C7xMREUF4eLjDTcTZoqLMQRQmurkRiRftmcN7vA7AKPrxb8dXiYo0hYyrVTMFjIsVg6NHTe27H390WvdFRCSNuqdgV6RIEc6dOxfv+oULFwgODr7vTiUkOjqaPHny8PHHH1OpUiVatmzJW2+9xdSpUxN8zogRI/Dz87PfChQokGL9E0mqdevgn38AYre6WrjRh/d4lXEAvHB5AufrtoL/akUWKQIbNmAvh/LkkzBnjhM6LyIiadY9BTsrgQoply9fxsfHJ0mvkStXLtzd3Tl9+rTD9dOnTxMQEHDb5wQGBlK8eHHc3d3t10qWLMmpU6e48V8V/1v179+fsLAw++3YsWNJ6p9ISkpsw/h4XqUVn3EDT/KsXWQOkf3vf6QeeABWrYKWLSEyEjp0cDh+VkREMjiPu2kcGhoKgM1mY9CgQWTOnNn+WFRUFBs3bqR8+fJJei0vLy8qVarE6tWradq0KWBG5FavXk2vXr1u+5waNWowf/58oqOj7Wv69u/fT2BgIF5eXrd9jre3N97e3kn8hCKp45ZVDPEspBWnCGBV1mfw/PVXMxf77bdQrBg+PubgiuBgGDnSHD976BBMmwYJ/GsgIiIZxF2N2G3fvp3t27djWRY7d+6039++fTt79+6lXLlyzJ49O8mvFxoayrRp0/jkk0/Ys2cPPXr04MqVK3Tq1AmA9u3b079/f3v7Hj16cOHCBV555RX279/PN998w/Dhw+nZs+fdfAwRp6tZ05wNm1DRYZsNDhWojduGXyEoCP76y4S79esBcHODESPgo4/A3d1MyYaE2Af2REQko7qXbbcdO3ZMtnIhkyZNsgoWLGh5eXlZVapUsX777Tf7Y7Vq1bI6dOjg0P7XX3+1qlatanl7e1uFCxe2hg0bZt28eTPJ76dyJ5JWLFliWTabuZnJVHOLubZkyX8NT52yrCpVzINeXpa1YIHD66xcaVm+vubhwoUta9eu1P8sIiKScu4mu9zXkWLpkY4Uk7Rk6VKzO9ZspDAKFIDx46FZszgNr14158x+8YW5P2IE9O1rH/LbvRueegoOHwZfX/j8c6hfP9U+hoiIpKC7yS5JDnbNmjVj9uzZ+Pr60szhvzjxLV26NOm9TWUKdpLWREWZXbInT5q1dzVrmunV2zZ84w14/31z/8UXzZEUnp4AnD1rwuD69Waqdvx46NVLZ8yKiKR3d5Ndkrx5ws/PD9t//4Xw8/O7vx6KiJ27O9SuncSG48aZXRO9e5vdEkePmuE5X19y54YffoDu3WH2bHj5ZdizByZMsGc/ERFxcZqKFUmPli2D1q3NFO1DD8E335jdGJiVemPGmJlayzKbKj7/HHLkcHKfRUTkntxNdrmnOnYi4mRPPw0//wwBAfDHH1C1qjlvDDP1+sYbZjlelixmFK9aNThwwMl9FhGRFJfkEbsKFSrYp2LvZNu2bffVqZSkETtxKX//DQ0bmt0TmTKZuifNm9sf3rHDZMBjx8yI3dKlSZz2FRGRNCNF1tjFFBEWkTSkUCH49Vdo1QpWroQWLWDoUHjrLbDZKF8eNm2CJk3Mn3Xrmv0WXbs6u+MiIpIStMZOxBXcvGnmX8ePN/fbtIEZM+C/I/6uXYPOnWHBAvNw9+5mU4VOqhARSftSZY3dxYsXmT59Ov379+fChQuAmYI9fvz4vb6kiNwrDw9TBmXqVPPz/PlmzvXUKcDM0s6fD8OHmzV4U6eaTRVnzji32yIikrzuKdj98ccfFC9enFGjRjFmzBguXrwImPp1cY8AE5FU1q0bfPedWVC3cSNUqWIW2mECXf/+8PXXpojxunVQuTKk4SWxIiJyl+4p2IWGhtKxY0cOHDiAz39TPQANGzbk559/TrbOicg9eOIJE+qKFze7JmrUgC+/tD/cqFH8hz/7zHndFRGR5HNPwW7z5s1069Yt3vV8+fJx6r+pHxFxomLF4LffzHzr1avmSIpRo0xhO6BECRPuGjaE69fNkrw+fczhFiIikn7dU7Dz9vYmPDw83vX9+/eTO3fu++6UiCSDHDng22/hpZdMoOvXDzp2hIgIALJnN3WOY1ZPvPeeOW/233+d1mMREblP9xTsnn76aYYMGUJkZCQANpuNo0eP0rdvX5599tlk7aCI3AdPT1Pf5IMPzJFkc+aYTRUnTgDm0vDhZio2UyZTMaVKFVMWT0RE0p97CnZjx47l8uXL5MmTh2vXrlGrVi2KFi1KtmzZGDZsWHL3UUTuV8+esGKFGab77Teza+K33+wPt2oFv/wCBQvCX3/BI4/AV185r7siInJv7quO3fr16/njjz+4fPkyFStWJCQkJDn7liJUx04ytL/+gqZNYdcuU8RuyhRT4O4/Z8+agyti9kANGABvv21G9kRExDnuJruoQLFIRnPpEnToYA6TBejVC8aNM9O2QGQkvPYaTJpkHq5Xz9TAe+ABJ/VXRCSDS5FgN3HixCR34OWXX05y29SmYCcCREfDu+/C4MHmfq1asGgRxNn8NHeuOXrs2jVzctmSJVCpkpP6KyKSgaVIsAsODna4f/bsWa5evUr27NkBcxJF5syZyZMnD4cOHbq3nqcCBTuROL76Cp5/Hi5fNgvsvvwSKlSwP/zHH6ZSysGD4O0NH37oMHMrIiKpIEWOFDt8+LD9NmzYMMqXL8+ePXu4cOECFy5cYM+ePVSsWJGhQ4fe9wcQkVTSpIkpaFesGBw9Gq9a8UMPwZYt0LixqZLywgtmFO/6dSf2WUREEnRPa+yKFCnC4sWLqRDn/+wBtm7dSvPmzTl8+HCydTC5acRO5DYuXoTWrU29E4A33oARI+y7JqKjzd2BA01JvMqVzdRswYLO67KISEaRIiN2cZ08eZKbN2/Gux4VFcXp06fv5SVFxJmyZ4fly6FvX3P/vffMsRTnzwPg5gZvvWUqpuTMaUbxKlaEH35wXpdFRCS+ewp2derUoVu3bmyLc3r41q1b6dGjR7ooeSIit+HuDiNHwoIFplrx99+b9LZli71J/fqwdau5fP68uT9ihBnRExER57unYDdz5kwCAgKoXLky3t7eeHt7U6VKFfz9/Zk+fXpy91FEUlPLlqZ4cdGisevupk2znzMbFATr10OnTibQvfkmPP20fXBPRESc6L7q2O3fv5+9e/cCUKJECYoXL55sHUspWmMnkkQXL5qzZWOOoOjUyRxPlikTYHLe9Onwv/+ZjRUFC8Lnn0PVqk7rsYiIS1KB4kQo2InchehoGDXKHEERHW1KoSxeDIUL25vs2AEtWphDLTw9YfRoeOUVsNmc120REVeSIsEuNDSUoUOHkiVLFkJDQxNtO27cuKT3NpUp2Incg9WrzYGy585BjhymenHDhvaHw8KgSxeT+QCeeQZmzjR7MkRE5P7cTXbxSOqLbt++nb1791KhQgW2b9+eYDub/jddxPXUqQPbtpmDZDdtgqeeMrVPBg0Cd3f8/Mw07OTJEBpqTivbscMcZqHTKkREUs9dTcW6u7tz8uRJ8uTJA0DLli2ZOHEi/v7+KdbB5KYRO5H7EBEBr74KU6aY+08+aUbv4hwku3kzPPccHDkCXl7mGNqXXtLUrIjIvUqxOna3ZsAVK1Zw5cqVu++hiKRPMeeKzZljNlGsXGmG5DZvtjd5+GEzuNekCdy4Ab16mVnc8HAn9ltEJIO4p3InMTLYvgsRidGuHWzYAEWKwN9/m5IoEyfaS6LkyGGmY8eOBQ8PM01bubKZnhURkZRzV8HOZrPFW0OnNXUiGVS5cqZ48bPPQmSk2Qr77LOmTApm6jU0FH7+GQoUgAMHTCmUSZPs+U9ERJLZXa2xc3Nzo0GDBnh7ewPw9ddf88QTT5AlSxaHdkuXLk3eXiYjrbETSWaWBR98AK+9ZgJecDAsXGjmZP9z/rwpg/f11+b+00+bXbNxluaJiEgCUqyOXadOnZLUbtasWUl9yVSnYCeSQjZvNqdWHD5sCtqNHWsW2P03qh+T/15/3ay9y5fP7LuoXdu53RYRSetUoDgRCnYiKejiRejc2SywAzM1O2MG+PnZm+zYYTZT7NtnMt+AAaZqikeSiy+JiGQsKbYrVkQkUdmzw5IlMGGCGbVbsgQqVoStW+1Nypc3dzt3NqN4Q4eaUbujR53VaRER16FgJyLJy2aDl1+GX36BoCA4dAiqVzfzsP9NEGTJYgby5s+HbNlM03LlIA0vzxURSRcU7EQkZcQUtGva1Cyq+9//zMkVFy7Ym7RubaZmq1Qxs7jPPmuKGV+75qxOi4ikbwp2IpJycuQww3Djx5up2aVLzdDczz/bmxQuDOvXQ9++5v6UKSYT/vGHc7osIpKeKdiJSMqy2UyNuw0boFgx+OcfePxxePttuHkTMJlv5Ej4/nvw94ddu0y4GzcOoqOd230RkfREwU5EUkelSmZqtmNHk9beecfsmvj7b3uTunVh505T5+7GDVMar25dkwVFROTOFOxEJPVkzQqzZsG8ebG7JsqXh8WL7U1y54Yvv4SPP4bMmeHHH+Ghh2DRIqf1WkQk3VCwE5HU16aN2TVRtarZNdGiBXTtCleuAGb29sUXYft2MyX777/w3HPQoQOEhzu15yIiaZqCnYg4R+HCsG4d9O9vkty0aVC5Mvz+u71J8eJmUG/AAHBzgzlzzN6L9eud2G8RkTRMwU5EnMfTE4YPhx9+gMBA2LvX1D6ZONG+a8LT0xQx/vlnUxbvyBGoVcuEvchIp/ZeRCTNUbATEed74glT3+Spp8yuiVdegQYN4MQJe5MaNcxgXvv2JvMNG2bqHu/d68R+i4ikMQp2IpI25MoFy5aZEyp8fEztk7JlHTZW+PrCJ5/AwoWmRN6WLVChArz/vsqiiIiAgp2IpCU2G/TsacqiVKxoTqlo0cLsmggLszd77jkzwFe/Ply/DqGhpjTe4cNO7LuISBqgYCciaU/Jkqag8ZtvOu6aWLfO3iR/flixAqZONWfP/vyzGeD7+GP7kbQiIhmOgp2IpE1eXmYh3c8/Q3CwKWRcqxb062fW4WEG+Lp1M6N3NWuaaindukHDhnD8uJP7LyLiBAp2IpK21ahhat516mSG4kaNMvXvdu2yNylcGNasgbFjwdsbVq6EMmVMHWSN3olIRqJgJyJpn68vzJwJS5bAAw+YoFepEkyYYN814e5u1tpt327K4V28CM8/D82bw9mzTu29iEiqUbATkfSjWTNzmOyTT0JEBPTuDSEhprjdf2KW5w0dCh4esHQplC5t/hQRcXUKdiKSvgQGwrffwuTJ5jDZNWvi7Zrw8DAFjDdtMlOyZ8/Cs89Cy5Zw5oyT+y8ikoIU7EQk/bHZ4KWXTMXiRx+Fy5fNrokGDeCff+zNKlQwte7efNNM1X7+OZQqBZ995py1d1FR8NNP5v1/+sncFxFJTgp2IpJ+FS1qElLMronvvjNDdLNn25Obt7fZXLtpEzz0EJw/D23awDPPOBxskeKWLjVHoj3+uHn/xx839zVFLCLJScFORNK3mF0TO3aYc2bDwswO2iZN4ORJe7OKFWHzZhgyxJw/+9VXZu1dnAyYYpYuNZs44gwmAqYkS/PmCnciknwU7ETENZQoAb/8AiNGmBp4X39tRu/izLt6ecHAgbB1a+zO2U6dzAzu0aMp062oKHP07e3CY8y13r01LSsiyUPBTkRch4eHKWC8datZYHfhgpn3bNHCoeZJ2bJm5+yoUbEzuKVLm1MskvvM2XXr4o/UxWVZcOyYw6EaIiL3TMFORFxPmTKwcSO8844Je0uWxNs14eEBffqY/RfVq5v9Fz16QJ06cOBA8nUlzmxwsrQTEUmMgp2IuCZPTxg0KHbXxLlzZvTu6acdhtAefNCcWjZ+PGTKZPZilC0Lw4dDZOT9dyMwMHnbiYgkRsFORFxbhQqOuyaWLzfzrnHq3rm7m3Vwf/4Jdeua2sdvvWU2XGzceH9vX7Mm5M9vKrTcjs0GBQqYdiIi90vBTkRcX8yuie3bzTmz4eGm7l2dOnDwoL1Z4cJmvd2nn0KuXCboVasGL78Mly7d21u7u5uTzyB+uIu5P368aScicr8U7EQk4yhd2uycHTfOzLvGnFoxbpx9W6rNZs6Y3bMH2rc3g3qTJpklel9/fW9v26wZLF4M+fI5Xs+f31xv1uw+P5eIyH9sluWM+uvOEx4ejp+fH2FhYfj6+jq7OyLiLAcPwosvmnAHpgbezJkm/MXxww9mcO/QIXO/eXOYOPHe1sRFRZndrydPmufXrKmROhG5s7vJLhqxE5GMqUgRWL3arLXz9TWbLCpUMGvxIiLszUJCYOdO6NvXhLDFi6FkSfO0uy2N4u4OtWtD69bmT4U6EUluCnYiknHZbGbUbtcueOopsw128GAT8OIUlsucGUaONOXxHn7YHG7RrZsZcfvjDyf2X0TkFgp2IiL588OyZTB/PuTObRbYPfaYCX3//mtvVq6cKWz8/vuQNSv8+qvZOfvaa/e+uUJEJDkp2ImIgBm9a90a9u6FLl3MtenTzVFlcQobu7ubI8D27DHr7aKizN6LkiVNHeSMtWpZRNIaBTsRkbhy5oRp02DtWhPqzpwxhY0bNIDDh+3N8ueHRYvg229NmZTjx03Qa9QodqOFiEhqU7ATEbmdxx6DHTvMZgovr9gDZUePdjiSokEDU+9u4EDTbMUK0+zddx32YIiIpAoFOxGRhHh7m8S2c6fZxnrtmtkeW7myw5EUmTKZ/PfHH6bm8fXr5mnlypmNtyIiqUXBTkTkTooXhx9/hFmzzFTtH3+YIyl69HDYXPHgg7BqldmDERAA+/aZcimtW5upWhGRlKZgJyKSFDYbdOxoNlfEHEkxdapJc7Nn24vaxd2D0asXuLnBggWm2ahRmp4VkZSlYCcicjdy54ZPPjEnVpQqBWfPQqdOZk1enKJ2fn7mKLLNm6F6dbhyBfr1MyeYrVzpxP6LiEtTsBMRuRe1a5vNFaNHQ5Ys5gzaihUhNBTCw+3NKlaE9ethzhzw94cDB8yGiyZNtHtWRJJfmgh2kydPJigoCB8fH6pWrcqmTZuS9LwFCxZgs9lo2rRpynZQROR2PD3hjTdMUbtnnzVF7d5/35RJWbDAXtTOZoN27WD/fpP7PDxMPeRSpWDQILh61cmfQ0RchtOD3cKFCwkNDWXw4MFs27aNcuXKUb9+fc6cOZPo844cOcLrr79OzZo1U6mnIiIJKFDAHCK7ciUULQonT5qFdnXrmsV2//H1hbFjzYxtSIhZbzd0qIobi0jycXqwGzduHC+++CKdOnWiVKlSTJ06lcyZMzNz5swEnxMVFUXbtm155513KFy4cCr2VkQkEfXrm9IoQ4aAj4+pdfLQQ2Zx3eXLps2WLZTs+QTfD9/C4sVQsCAcPWqKG9eta2riiYjcK6cGuxs3brB161ZCQkLs19zc3AgJCWHDhg0JPm/IkCHkyZOHF154ITW6KSKSdD4+pojdrl3mGIrISLMd9sEHYd48+8YL29xPefZZM4s7cKApmbd6tal999JLcO6csz+IiKRHTg12586dIyoqCn9/f4fr/v7+nDp16rbPWb9+PTNmzGDatGlJeo+IiAjCw8MdbiIiKa5wYfj6a/jqKzMsd+IEPP88fPSReXzBAti2jcx7tjLkhb/Zvdss04uOhilTzIzu++/DjRvO/Rgikr44fSr2bly6dIl27doxbdo0cuXKlaTnjBgxAj8/P/utQIECKdxLEZH/2Gzw9NNmrjVGzHFkZ85ApUrmFIugIAoXNsv01qyB8uUhLMxstChbFpYv1/o7EUkapwa7XLly4e7uzunTpx2unz59moCAgHjtDx48yJEjR2jcuDEeHh54eHgwZ84cli1bhoeHBwcPHoz3nP79+xMWFma/HTt2LMU+j4jIbc2da7bC3o6bmylw/J/atWHLFpg+HfLkMTtpGzc2y/d27UqV3opIOubUYOfl5UWlSpVYHecwxejoaFavXk21atXitS9RogQ7d+5kx44d9tvTTz/N448/zo4dO247Guft7Y2vr6/DTUQkVbVt63C2rIPoaFML74cf7Jfc3eGFF0zNu759wcvLHFX20EPQs6fW34lIwpw+FRsaGsq0adP45JNP2LNnDz169ODKlSt06tQJgPbt29O/f38AfHx8KFOmjMMte/bsZMuWjTJlyuDl5eXMjyIicmdu//3atdnMn35+sHu32RLbrBnEmXnw9YWRI83DzZqZDPjhh2b93dixOp5MROJzerBr2bIlY8aMYdCgQZQvX54dO3awcuVK+4aKo0ePcvLkSSf3UkTkPuXJAwEBZl3d1KlmbV1AgDmW4n//M8N0X3xhqha/8QZcvGh/apEips7dmjVm12xYGLz+uql/F6cOsogINsvKWL8SwsPD8fPzIywsTNOyIpK6IiLMvKrNZtLYjRumzgmYAnahoWbOFeCBB+Cdd6BbN4f1eVFRpmLKwIFmoy3Aww/DmDHmuFoRcT13k12cPmInIpJheHvHTsHabLGhDqBMGfjuO/jmG3Mk2fnz0KuXWVi3YoW9mbs7dO5sNlUMGQJZs8LmzVCrFjRtCvv2pe5HEpG0RcFORCStsNmgYUNz5tgHH5hRuz17zLUnn3Q4liJLFjNq99df0L27CXxffQWlS5sCx3c4lVFEXJSCnYhIWuPpaba//vUXvPaauf/dd2aBXffuDqnN398UNN6505RFiYoy94sUgWHD4OpVJ34OEUl1CnYiImlV9uxm8dyePbHbYj/6yGyLHTHCIbWVLAnLlpkNFpUqmaNpBwyAYsXg449j6yKLiGtTsBMRSetitsWuXQsVK8KlS/Dmm1C8OMycaYbp/lO7NmzaZI6lLVTIbLDo1s0s4Vu0SDtoRVydgp2ISHrx2GNmp8ScOeb82ePHTSXj8uXNpov/UpubG7RpYzZSjB8PuXKZzRbPPWd20MaphSwiLkbBTkQkPXFzg3btTGobMwZy5DCbKp56Cp54wgS//3h7wyuvmJrHgwebHbRbt5payCEh5ugyEXEtCnYiIumRj4/ZWHHwoClo7O0NP/0EVapAy5bxTrB4+21z6eWXzV6M1avN6F2LFiqRIuJKFOxERNKzHDnMWbP790OHDqZkyuefm90UL78MZ8/am+bJAxMmmKbt2pmmixebEildu8KxY078HCKSLBTsRERcQcGCMHs2bN9uat5FRsKkSVC4sBmuCw+3Nw0KMsv0fv89tkTKtGlms+0rr8CpU876ECJyvxTsRERcSbly5qSKH36IrXvyzjsm4I0dC9eu2ZuWLWtKpKxbZ/Zl3LgBEyeapn36wLlzTvwcInJPFOxERFxRnTpmI8WiRfDgg+aIstdfv21hu0cfNcvzVq2CqlVN9nvvPQgOhkGD4OJFp30KEblLCnYiIq7KZoPmzc2u2ZkzY0ukdOsGpUrBZ5+Zosf/NQ0JgQ0bYPlyqFDBDPYNHWoC3vDh5r6IpG0KdiIirs7DAzp1MrsmJkyA3LnNcWVt2pgEt3y5vQaezQaNGplSKEuWmPx38SK89ZYJeOPGOczmikgao2AnIpJReHubnbKHDsG774KfH/zxh9lBUaOGqYESp8hxs2bm4XnzzMaKc+dMhZXCheH993UOrUhapGAnIpLRZM1qhuAOHYK+fSFTJjMHGxJiziRbu9be1N3dDOzt2WNmc4OCzK7Z0NDY/RhXrjjtk4jILRTsREQyqpw5YeTI2MrFXl7w888m3NWpA+vX25vGnc2dPt0EvNOnzX6MwoXNIRgKeCLOp2AnIpLRBQaatXcHD8JLL5mjKX78EWrWhHr1zGjefzw9zfG0+/fDjBkm1J05Yw6/CA42tZK1yULEeRTsRETEyJ8fJk+GAwfMURQeHqYGSvXq0LChwzm0np7QuTPs3QuzZkGRIuaQi759TcAbNUoBT8QZFOxERMRRoULw0UdmWK5zZ7PQbsUKcw5t48awdau9qacndOxoAt7s2bGbLPr1My8zZAj8+6/TPolIhqNgJyIitxccbOZb9+6F9u3NVtnly6FyZVMT5bff7E09PMxRtXv2mOPKihWDCxdg8GAT8Pr1M2vyRCRlKdiJiEjiihaFTz6B3buhbVsT8L79FqpVg7p1zYaL/3h4QLt2JuB99pk5tuzSJTM1GxRk9mgcO+a8jyLi6hTsREQkaR58EObONSN4nTqZFPfDD1CrltlJG6cOnrs7tGoFO3bAV1+ZWdzr12HSJLMe74UXzFI+EUleCnYiInJ3ihUzRe0OHDDHk3l6mtp3ISGm0PHKlQ6Fjp9+2szarlpl8l9kpHl6iRLQujXs3OncjyPiShTsRETk3gQFwdSppkxKr17mZIsNG6BBAzNEt2xZvLNo16yBX34xm2yjo2HBAnjoIXjqKVi3zp4HReQeKdiJiMj9KVDAzLEePmyOpMiUyRw226SJSW1z58LNm/bm1avDN9/A9u3QooUJfd98A489Zgb8vvzSngdF5C4p2ImISPIIDDRnjB05YgraZcsGu3aZ3RTFisGHH8K1a/bm5cvD55+bJXtdu5qDLzZsgGeegdKlzXRtRITTPo1IumSzrIw18B0eHo6fnx9hYWH4+vo6uzsiIq7r4kUT5saPN9WLAfLkgd69zQkXfn4OzU+dgokTzVPCwsy1vHlN827dQL+yJaO6m+yiYCciIinr6lVzPMV778Hff5trvr4m3PXuDf7+Ds3Dw+Hjj+H99+HECXPNzw969DDlUgIDU7f7Is6mYJcIBTsRESeJjDS7JUaONDXxAHx8zOkWoaGmDkocN27AvHnm/Nm9e801Ly9o0wZefdUs3xPJCO4mu2iNnYiIpA5PT7PebudOs0OialVT3O7DD6F4cbOTYtMme3MvL1Mub9cuUwuvRg0T9mbPhnLloF49h8oqIoKCnYiIpDY3N7NjdsMG+PFHUx4lOhoWLzZhr1Yt+Ppr+9bYmFp469ebenjPPWeurVplnlqmjDn57Pp1J38ukTRAU7EiIuJ8f/4JY8bA/PlmyhZMBePXXzfHmPn4ODQ/csRstJg+3RxZBmZfRs+eZi1e7typ232RlKQ1dolQsBMRScOOHzeJbepUs4sCzOaKl182iS1HDofmYWEm3E2YEHsGrY8PtG9vnlK6dCr3XyQFKNglQsFORCQdCA83iW38+NjEliWL2Wjx8stQtKhD88hIWLLElNHbsiX2ekiIad6okZm+FUmPFOwSoWAnIpKOREaaKsbvvQe//26u2WzQuLHZGlurlrn/H8syR5NNmOB4gkWRIvC//5nNGCn9qz8qyvTh5ElTmqVmTXB3T9n3FNemYJcIBTsRkXTIsmD1ajOC9803sdfLlze18Fq1MmfVxnHkCEyebAb+Ll4017JmNeHuf/8zh2Ekt6VL4ZVX4J9/Yq/lz2+CZrNmyf9+kjEo2CVCwU5EJJ3bt8+sw5s92xQ/BrMO76WXoHt3s4sijitX4NNPzVP27DHXbDZo2NBM09at6zDod8+WLoXmzeOXX4l57cWLFe7k3ijYJULBTkTERVy4ANOmwQcfxA6ReXubXbSvvBKvgrFlwQ8/mNGzuIN+Dz5oMmGHDvFOOUuyqCgICnIcqYvLZjMjd4cPa1pW7p4KFIuIiOvLmRP69oVDh+Czz6BKFYiIgJkzTQXj2rXNjoqbNwETrurWheXLYf9+M1qXLZsZAHzlFXMubbdu8Mcfd9+VdesSDnVgQuWxY6adSEpSsBMRkfTN09Ossdu40RQ9fu45Myy2dq2ZGw0OhuHD4cwZ+1OKFTMjd8ePm3V4pUqZWd2PPzaZsGZNc/rZjRtJ68LJk8nbTuReKdiJiIjreOQRWLjQ7JwYMMCst/vnH3jrLShQwMy3bt5sb54tm5mG/fNP+Oknc6qZh4c55aJ1ayhUCAYNMgEwMYGBSeteUtuJ3CutsRMREdcVEQGLFsGkSQ7n0FK1KvTqZZLcLbtpT5wwI3cffxw7wububk5B69bN1Ma7tSZezBq748dvf3at1tjJ/dDmiUQo2ImIZFCbNpmNFgsXxs6x5skDXbpA165meC6OyEj44gv48EMzqxujcGF48UVTNsXfP/Z6zK5YcAx32hUr90vBLhEKdiIiGdyZM2Y37ZQpsXOsMfVPevSAJ5+MN6y2axd89BHMmWOOMQOztO+ZZ8wo3uOPm5e4XR27AgVM+T2FOrlXCnaJULATERHADMktW2YC3urVsdcLFTJprXNnxyE5zAaLhQtNyNu4MfZ6sWJm0K9jR3OcrU6ekOSkYJcIBTsREYln/36T1mbNgn//Ndc8Pc0wW48e8Nhj8aoY//67ecrcuXDpkrnm5QXPPmtmd2vX1vm0kjwU7BKhYCciIgm6ds2cTTt1Kvz2W+z1kiXNKF67dqZ+XhyXL5syeh99BFu3xl4vXBheeMGM4uXNmzrdF9ekYJcIBTsREUmS7dtNwJs3z5xLBmYH7bPPmt0TtWrFG8XbssWcTTt/fuwonpubWb7XpYv509MzlT+HpHsKdolQsBMRkbsSFmbC3bRpsGNH7PVixUzA69Ah/vm067axuOv3TPfpyfod2ezXAwJM8xdeME8XSQodKSYiIpJc/PxMFeNt20xx4xdfhKxZ4cAB6NPHFKhr0QK+/x6iowHIsmg2Hfb2Z91jA9izB954w2S/U6dg1CgoXtyswfvkk9jBQJHkoBE7ERGRu3X5sjlzbNo0x8LHefOaSsaffw7nz5s0t2IFWBaRfrlYvrMQ06fDypX2DEjWrCYXduxodtDeMrsroqnYxCjYiYhIsvrjDxPwPvjgzm3/+0/uP/+Y0brZs+Gvv2IfLlzYBLz27ePVS5YMTFOxIiIiqeWhh8yRZTNnJlzfxGaDoUPtwS5/fnN87f79pubdCy+YkbtDh8zZtEFBUKeOKaVy9WrqfRRJ/zRiJyIikly2bYNKlRJ+/KGHTOHjtm0hVy6Hh65cMUeYzZoFP/4Yez1bNjNV266dKaen2ngZj0bsREREnCkmfcUsmKtf35RK+eMP6N3brMVr3hyWLzcnYABZssDzz5tDMI4cgSFDzNTspUtmMPDxxyE4GN58E/bsccqnknRAI3YiIiLJ5Z9/4OGHzQGxL7wAM2bAsWNmN22WLKaS8cyZjpWMc+eGNm1MHZTy5R12T0RHw/r18OmnsGhR7Dm1YAYG27WD1q3jVVsRF6PNE4lQsBMRkRQVEWHOFrPZzJq6GzfMaF1cf/xhdk7Mnw+nT8deL1PG7Jxo2zbecRXXr8PXX8OcOWZX7c2b5rq7uxkQbNfObMjNlCllP56kPgW7RCjYiYhImnHzpql/N2cOfPmlCYVgpnJDQkzIa9rUjPbFcfasqbby6admMDBGtmzmeNs2beCJJ8DDI9U+iaQgBbtEKNiJiEiadPEiLF5s6qCsXx97PWtWc4xZ27Ymrbm7Ozxt3z6ze3buXLM2L0aePPDccybkPfKI6uOlZwp2iVCwExGRNO/gQZPU5swxNVBiBARAq1Ym5FWqFG893oYNZnb388/h3LnYpwUFmbV4bdqY2V5JXxTsEqFgJyIi6YZlwS+/mLNqP/8cLlyIfax4cZPU2raFokUdnhYZCT/8YPZqfPGFOSgjRtmyJuS1amV22Urap2CXCAU7ERFJl27cMOvx5s2Dr76Ca9diH6tSxQS8li3B39/haVevmqoqn30G335rXibGww+bp7RoAQULptLnkLumYJcIBTsREUn3Ll0y4W7ePFi1CqKizHU3N7MOr2VLs4siZ06Hp/37LyxdakLemjWx59UCVKsWG/Ju2ZArTqZglwgFOxERcSmnT5tp2nnzYOPG2OseHlCvnplzbdIEbvlv3unTsGSJeerPP9tPO8Nmg0cfNSGvefN4A4DiBAp2iVCwExERl3XokElqCxbA77/HXvf2hoYNTchr1Che+ZQTJ8yG3IUL4ddfY6+7uUGtWibgPfMMBAam0ucQBwp2iVCwExGRDGHvXpPUFiwwP8fInBmeftrUQnnyyXgVjY8dM6dcLFwImzbFXrfZoEYNE/KaNTOHa0jqULBLhIKdiIhkKJZlTrqICXmHD8c+liULPPWUWVjXoIEJfXEcOWKmaxcvht9+c3zZRx4x5fWefVa7a1Oagl0iFOxERCTDsixzVMXChSatHT0a+1jmzGaatkULM217y3TtsWOmdMrixaZ+ctz0UKmSCXjNmsGDD6bSZ8lAFOwSoWAnIiJCbMhbtMiktbjHVmTKZMJd8+ZmRC9rVoennjxpQt6SJfDTT467a0uWNOvxmjaFypV14kVyULBLRFL/4URFRREZGZmKPZO0wtPTE/dbjuwREXFplgVbt5qAt2iR42kX3t5md+0zz5i1eQ884PDUs2dN5ZUlS2D1alMcOUb+/CbgPfMMPPaYzq69Vwp2ibjTPxzLsjh16hQXL15M/c5JmpE9e3YCAgKw6X81RSSjsSzYscMEvEWL4K+/Yh9zdzcJrVkzk9jy53d4aliYKYL8xRfmzytXYh/LmdMM/j3zjMmJtyznk0Qo2CXiTv9wTp48ycWLF8mTJw+ZM2fWf9gzGMuyuHr1KmfOnCF79uwEam+/iGRklgW7dpmqxl98YQJfXFWqmKTWrJk54iyO69fNsWZffmlG9OKeXevjA3XrmgHAp54yR+BKwhTsEpHYP5yoqCj2799Pnjx5eOCWoWbJWM6fP8+ZM2coXry4pmVFRGIcOmSS2tKlpuBd3AhRqpQZxWvSxCyuc3OzPxQVZY68/eILc/v7b8eXrVrVPO3pp83LaEzFkYJdIhL7h3P9+nUOHz5MUFAQmW6p6yMZy7Vr1zhy5AjBwcH4+Pg4uzsiImnPqVNmKG7pUvjxR7h5M/axwEBo3NiktSeeMEN0/7Es2LkTli0zt82bHV+2cGET8J5+2pyA4emZSp8nDbubYOeW6KOpZPLkyQQFBeHj40PVqlXZFLci4i2mTZtGzZo1yZEjBzly5CAkJCTR9vdC06+ivwMiIncQEADdusF338GZMzB3ril6nC2b2Tb78cemfEquXGZ37aefwvnz2Gzw0EMwYIApgHz8OHz0kWnq7W0GBcePN3kwd25ztNmnnzpO5UrCnD5it3DhQtq3b8/UqVOpWrUq48ePZ9GiRezbt488efLEa9+2bVtq1KhB9erV8fHxYdSoUXzxxRfs2rWLfPny3fH9kjJip1Ea0d8FEZF7FBFhaqB89ZUZkjt+PPYxd3czDBezuO6WdXlXrsCqVeZpy5ebHbcxbDZTFLlRI3MrVy7jTNmmq6nYqlWr8vDDD/PBBx8AEB0dTYECBfjf//5Hv3797vj8qKgocuTIwQcffED79u3v2N5Vg51lWXTr1o3Fixfz77//sn37dsqXL+/sbqVb6fnvgohImmFZsG2bCXlffWVOwIirWDET8J56ygQ+Ly/7Q1FRZkTvm2/M7dZ9G/nzm1J7Tz1lRvduqafsUtLNVOyNGzfYunUrISEh9mtubm6EhISwYcOGJL3G1atXiYyMJGfOnLd9PCIigvDwcIebK1q5ciWzZ89m+fLlnDx5kjJlytzxOXczBZ5cFi1aRIkSJfDx8aFs2bJ8++23SepnyZIlyZQpEw8++CBz5sxxeLx27drYbLZ4t0aNGtnbnD59mo4dO5I3b14yZ87Mk08+yYEDB5L984mISBw2mzmWYsgQ+P13c5zZhAlmS6ynJxw4AO+/D3XqmHnXFi3gk0/gzBnc3aFaNXj3Xdi+3Zx88dFHZule5szwzz9mtjemtF79+mYKd98+xz0dGY7lRMePH7cA69dff3W4/sYbb1hVqlRJ0mv06NHDKly4sHXt2rXbPj548GALiHcLCwuL1/batWvW7t27E3yttGzSpElWwYIFk9x+wYIFlpeXlzVz5kxr165d1osvvmhlz57dOn36dIr18ZdffrHc3d2t0aNHW7t377YGDBhgeXp6Wjt37kzwOR9++KGVLVs2a8GCBdbBgwetzz77zMqaNau1bNkye5vz589bJ0+etN/+/PNPy93d3Zo1a5ZlWZYVHR1tPfLII1bNmjWtTZs2WXv37rW6du1qFSxY0Lp8+fJt3zc9/10QEUkXwsMta8kSy+rUybLy5LEsk8fMzWazrEcesayhQy1r61bLiopyeOq1a5a1YoVl9expWUFBjk8FywoOtqyXXrKsZcssK4Ff8+lKWFhYgtnlVuk62I0YMcLKkSOH9fvvvyfY5vr161ZYWJj9duzYMZcLdh06dHAIrYUKFbrjc6pUqWL17NnTfj8qKsrKmzevNWLEiBTr53PPPWc1atTI4VrVqlWtbt26JficatWqWa+//rrDtdDQUKtGjRoJPuf999+3smXLZg9t+/btswDrzz//tLeJioqycufObU2bNu22r5Fe/y6IiKRLUVGWtXGjZQ0aZFkVK8ZPav7+ltWhg2UtXGhZFy44PDU62rJ27bKsMWMsq04dy/Lycnyql5dlhYRY1tixlrV7t2mf3txNsHPqVGyuXLlwd3fn9OnTDtdPnz5NwB2qFY4ZM4aRI0fy/fff89BDDyXYztvbG19fX4fbXbEss5rTGbckjiVPmDCBIUOGkD9/fk6ePMnmW/eO3+Jep8DnzZtH1qxZE72tW7cuwedv2LDB4T0B6tevn+h7RkRExFvjlilTJjZt2pTgkW8zZsygVatWZPlvwUVERASAw+u4ubnh7e3N+vXrE3xvERFJJW5uptjxO++Yo83++cfMuzZpYhbPnT5tpmhbtjS7bB99FIYNg23bsFnRlCoFr71mCiKfP282X/ToAUFBcOOGuf7aa6ZGXlAQvPiiOVTj33+d/cGTn1NPbfPy8qJSpUqsXr2apk2bAmbzxOrVq+nVq1eCzxs9ejTDhg3ju+++o3LlyinbyatX4x1+nGouX07SalA/Pz+yZcuGu7v7HQMxwLlz54iKisLf39/hur+/P3v37k3weU8//TRVq1ZN9LUT25l86tSp277nqVOnEnxO/fr1mT59Ok2bNqVixYps3bqV6dOnExkZyblz5+KdDLFp0yb+/PNPZsyYYb9WokQJChYsSP/+/fnoo4/IkiUL77//Pv/88w8nT55M9POIiIgT5MsHXbuaW0QErF8PK1aY2+7dptrxL7+YmikBAfDkk2aRXd26ZH3gARo3NmvxLMusuYt56tq1cPQoTJ9ubm5u8PDD5qn16plCyen9PFundz80NJQOHTpQuXJlqlSpwvjx47ly5QqdOnUCoH379uTLl48RI0YAMGrUKAYNGsT8+fMJCgqyh4KYESNJOdmyZSNbtmyp+p4DBw7k1KlTPPLII1iWhb+/Px06dGD06NG4ucUfcJ4xYwZly5alSpUq9muenp4sXbqUF154gZw5c+Lu7k5ISAgNGjTAytArbEVE0gFvb7O5ok4dGDPGHFsRk9R++MEUSp4929xsNnPqRf36UL8+tqpVKVHCkxIl4NVXzVjN2rXw/ffmtns3bNxobkOGgK+v2WEbE/QKF3b2h797Tg92LVu25OzZswwaNIhTp05Rvnx5Vq5caR/ZOXr0qMN/wKdMmcKNGzdo3ry5w+sMHjyYt99+O/k7mDmzGTlzhhQ6Iflep8DnzZtHt27dEn3tFStWULNmzds+FhAQcNfvmSlTJmbOnMlHH33E6dOnCQwM5OOPPyZbtmzkzp3boe2VK1dYsGABQ4YMifc6lSpVYseOHYSFhXHjxg1y585N1apVU37EV0REklehQtC9u7lFRMC6dSbkff89/PmnOcpi82aznTZuUqtfn8zBwTRoAA0amJc6dszUzfv+e/PnhQvmxLQvvzSPBwdDSIi5PfGEmQVO65xexy61uWodu/HjxzN+/HiOHDmSpPZVq1alSpUqTJo0CTBT4AULFqRXr14J1g+8dOlSvGB2q3z58iV4HFvLli25evUqX3/9tf1a9erVeeihh5g6dWqS+g1Qq1Yt8uXLx/z58x2uz549m+7du3P8+PE7nvV74MABSpQowYoVK6hXr168x9Pz3wURkQzr+PHY4bhVq8yCu7iKFTNDcSEhULs2ZM9ufygqypTc+/57c5jGhg2Op6QBVKhgBg5DQqBmzRQbf4nnburYOXVXrDMktrMkPe+EfP/995O0GzbGggULLG9vb2v27NnW7t27ra5du1rZs2e3Tp06lWJ9/OWXXywPDw9rzJgx1p49e6zBgwfHK3fSr18/q127dvb7+/btsz799FNr//791saNG62WLVtaOXPmtA4fPhzv9R999FGrZcuWt33vzz//3FqzZo118OBB68svv7QKFSpkNWvWLMG+pue/CyIiYlnWzZuWtWmTZb37rmXVrGlZHh6O22Xd3CyralXLGjDAsn76ybKuX3d4+qVLlvXNN5b16quWVbZs/I26Xl6WVbu2efnNm1P2o6SbcifOoGAXK6b2nZeXl1WlShXrt99+S5nOxfH5559bxYsXt7y8vKzSpUtb33zzjcPjHTp0sGrVqmW/v3v3bqt8+fJWpkyZLF9fX6tJkybW3r17473u3r17LcD6/vvvb/u+EyZMsPLnz295enpaBQsWtAYMGGBFREQk2M/0/HdBRERuIyzMsr780rJ69bKsBx+Mn9QyZ7asJ580dVN27IhXO+/kScuaN8+U3StQwPGpTz6Z0l1PerDTVGwcmn6TGPq7ICLi4o4dg9WrzQaMH34wJVXiyp0bHn/cLK574gkoWtR+OK1lwV9/xT61Xj24wxL0+5KuzopNbQp2khT6uyAikoFYltl4EZPU1q419WTjyp8/NuQ9/jgULGiub9kCffrA6NFmR24KuJtg5/RdsZL8jh49SqlSpRJ8fPfu3RSM+QspIiKS0dlsULasub36qqlqvGkT/PijuW3YYIomz5ljbgBFipiQd/QorFkDn36aYsHubmjELg5XGaW5efNmortjg4KC8EjvFRhTmKv8XRARkWRw9Sr8+qsJeWvWmHIqUVGObfLkMWVXLMvURSlUKNneXiN2GZyHhwdFixZ1djdERERcQ+bMsQXtwL7WzsHZs1CpUux9J42bOfWsWBEREZF0Z+7c+GePxQQ5Dw/zuJNoxE5ERETkbrRtCyVLOo7Qxdi4ESpWTP0+/UcjdiIiIiL3KubY09ucX+4MaaMXIiIiIulJnjwQEGBG7aZONX8GBJjrTqSpWBEREZG7lT8/HDkCXl5mM0XXrqZMire3U7ulETsXYVkWXbt2JWfOnNhsNnbs2OHsLomIiLg2b+/YHbI2m9NDHSjYuYyVK1cye/Zsli9fzsmTJylTpoyzuxTP5MmTCQoKwsfHh6pVq7Jp06ZE20dGRjJkyBCKFCmCj48P5cqVY+XKlQ5toqKiGDhwIMHBwWTKlIkiRYowdOhQ4pZntCyLQYMGERgYSKZMmQgJCeHAgQMp8hlFREScScHORRw8eJDAwECqV69OQEBAmitAvHDhQkJDQxk8eDDbtm2jXLly1K9fnzNnziT4nAEDBvDRRx8xadIkdu/eTffu3XnmmWfYvn27vc2oUaOYMmUKH3zwAXv27GHUqFGMHj2aSZMm2duMHj2aiRMnMnXqVDZu3EiWLFmoX78+169fT9HPLCIikuqsDCYsLMwCrLCwsHiPXbt2zdq9e7d17do1J/Ts3nXo0MEC7LdChQrd8TlRUVHWqFGjrCJFilheXl5WgQIFrHfffTfF+lilShWrZ8+eDu+fN29ea8SIEQk+JzAw0Prggw8crjVr1sxq27at/X6jRo2szp07J9gmOjraCggIsN577z374xcvXrS8vb2tzz77LMH3Tq9/F0REJPXcvGlZa9ZY1vz55s+bN1PmfRLLLrfSiN0dWJY5B9gZt6QWrZ4wYQJDhgwhf/78nDx5ks2bN9/xOf3792fkyJEMHDiQ3bt3M3/+fPz9/RNsP3z4cLJmzZro7ejRo7d97o0bN9i6dSshMRW7ATc3N0JCQtiwYUOC7xkRERHvOK9MmTKxfv16+/3q1auzevVq9u/fD8Dvv//O+vXradCgAQCHDx/m1KlTDu/t5+dH1apVE31vERGRxCxdCkFB8Pjj0KaN+TMoyFx3prQ1X5cGXb0KWbM6570vX4YsWe7czs/Pj2zZsuHu7k5AQMAd21+6dIkJEybwwQcf0KFDBwCKFCnCo48+muBzunfvznPPPZfo6+bNm/e218+dO0dUVFS84Ojv78/evXsTfL369eszbtw4HnvsMYoUKcLq1atZunQpUXHO5+vXrx/h4eGUKFECd3d3oqKiGDZsGG3btgXg1KlT9ve69b1jHhMREbkbS5dC8+bxB2COHzfXFy+GZs2c0zcFuwxoz549REREUKdOnSQ/J2fOnOTMmTMFexXfhAkTePHFFylRogQ2m40iRYrQqVMnZs6caW/z+eefM2/ePObPn0/p0qXZsWMHvXv3Jm/evPbQKiIiklyiouCVV24/q2ZZZnNs797QpAm4u6d69xTs7iRzZjNy5qz3TgmZMmW66+cMHz6c4cOHJ9pm9+7dFCxYMN71XLly4e7uzunTpx2unz59OtERxty5c/Pll19y/fp1zp8/T968eenXrx+FCxe2t3njjTfo168frVq1AqBs2bL8/fffjBgxgg4dOthf//Tp0wQGBjq8d/ny5e/4uUVEROJatw7++Sfhxy0Ljh0z7WrXTrVu2SnY3YHNlrTp0PSkWLFiZMqUidWrV9OlS5ckPed+pmK9vLyoVKkSq1evpmnTpgBER0ezevVqevXqdcf39vHxIV++fERGRrJkyRKHfly9ehW3W45xcXd3Jzo6GoDg4GACAgJYvXq1PciFh4ezceNGevToccf3FhERievkyeRtl9wU7DIgHx8f+vbtS58+ffDy8qJGjRqcPXuWXbt28cILL9z2Ofc7FRsaGkqHDh2oXLkyVapUYfz48Vy5coVOnTrZ27Rv3558+fIxYsQIADZu3Mjx48cpX748x48f5+233yY6Opo+ffrYn9O4cWOGDRtGwYIFKV26NNu3b2fcuHF07twZAJvNRu/evXn33XcpVqwYwcHBDBw4kLx589pDpoiISFLFmfxJlnbJTcEugxo4cCAeHh4MGjSIEydOEBgYSPfu3VPs/Vq2bMnZs2cZNGgQp06donz58qxcudJhU8PRo0cdRt+uX7/OgAEDOHToEFmzZqVhw4Z8+umnZM+e3d5m0qRJDBw4kJdeeokzZ86QN29eunXrxqBBg+xt+vTpw5UrV+jatSsXL17k0UcfZeXKlfF23IqIiNxJzZrmNLHjx2+/zs5mM4/XrJn6fQOwWVZSi2q4hvDwcPz8/AgLC8PX19fhsevXr3P48GGCg4P1H/0MTn8XREQkITG7YsEx3MWcLpbcu2ITyy63Uh07ERERkbvQrJkJb/nyOV7Pn9+5pU5AU7Eu6ejRo5QqVSrBxxPavSoiIiJJ06yZKWmybp3ZKBEYaKZfnVHiJC4FOxeUN29eduzYkejjIiIicn/c3Z1T0iQxCnYuyMPDg6JFizq7GyIiIpLKtMZORERExEUo2N1GBtsoLLehvwMiIpIeKdjF4enpCZjTDCRji/k7EPN3QkREJD3QGrs43N3dyZ49O2fOnAEgc+bM2GKK0kiGYFkWV69e5cyZM2TPnh13Z29vEhERuQsKdreIOTQ+JtxJxpQ9e3b73wUREZH0QsHuFjabjcDAQPLkyUNkZKSzuyNO4OnpqZE6ERFJlxTsEuDu7q7/uIuIiEi6os0TIiIiIi5CwU5ERETERSjYiYiIiLiIDLfGLqbwbHh4uJN7IiIiInJnMZklKcXzM1ywu3TpEgAFChRwck9EREREku7SpUv4+fkl2sZmZbCzk6Kjozlx4gTZsmVL0eLD4eHhFChQgGPHjuHr65ti7yPOpe85Y9D3nHHou84Y0tv3bFkWly5dIm/evLi5Jb6KLsON2Lm5uZE/f/5Uez9fX9908ZdG7o++54xB33PGoe86Y0hP3/OdRupiaPOEiIiIiItQsBMRERFxEQp2KcTb25vBgwfj7e3t7K5ICtL3nDHoe8449F1nDK78PWe4zRMiIiIirkojdiIiIiIuQsFORERExEUo2ImIiIi4CAW7FDB58mSCgoLw8fGhatWqbNq0ydldkvswYsQIHn74YbJly0aePHlo2rQp+/btc2hz/fp1evbsyQMPPEDWrFl59tlnOX36tJN6LMlh5MiR2Gw2evfubb+m79l1HD9+nOeff54HHniATJkyUbZsWbZs2WJ/3LIsBg0aRGBgIJkyZSIkJIQDBw44scdyt6Kiohg4cCDBwcFkypSJIkWKMHToUIdjuVzxe1awS2YLFy4kNDSUwYMHs23bNsqVK0f9+vU5c+aMs7sm92jt2rX07NmT3377jVWrVhEZGUm9evW4cuWKvc2rr77K119/zaJFi1i7di0nTpygWbNmTuy13I/Nmzfz0Ucf8dBDDzlc1/fsGv79919q1KiBp6cnK1asYPfu3YwdO5YcOXLY24wePZqJEycydepUNm7cSJYsWahfvz7Xr193Ys/lbowaNYopU6bwwQcfsGfPHkaNGsXo0aOZNGmSvY1Lfs+WJKsqVapYPXv2tN+Pioqy8ubNa40YMcKJvZLkdObMGQuw1q5da1mWZV28eNHy9PS0Fi1aZG+zZ88eC7A2bNjgrG7KPbp06ZJVrFgxa9WqVVatWrWsV155xbIsfc+upG/fvtajjz6a4OPR0dFWQECA9d5779mvXbx40fL29rY+++yz1OiiJINGjRpZnTt3drjWrFkzq23btpZlue73rBG7ZHTjxg22bt1KSEiI/ZqbmxshISFs2LDBiT2T5BQWFgZAzpw5Adi6dSuRkZEO33uJEiUoWLCgvvd0qGfPnjRq1Mjh+wR9z65k2bJlVK5cmRYtWpAnTx4qVKjAtGnT7I8fPnyYU6dOOXzXfn5+VK1aVd91OlK9enVWr17N/v37Afj9999Zv349DRo0AFz3e85wZ8WmpHPnzhEVFYW/v7/DdX9/f/bu3eukXklyio6Opnfv3tSoUYMyZcoAcOrUKby8vMiePbtDW39/f06dOuWEXsq9WrBgAdu2bWPz5s3xHtP37DoOHTrElClTCA0N5c0332Tz5s28/PLLeHl50aFDB/v3ebvf5fqu049+/foRHh5OiRIlcHd3JyoqimHDhtG2bVsAl/2eFexE7kLPnj35888/Wb9+vbO7Isns2LFjvPLKK6xatQofHx9nd0dSUHR0NJUrV2b48OEAVKhQgT///JOpU6fSoUMHJ/dOksvnn3/OvHnzmD9/PqVLl2bHjh307t2bvHnzuvT3rKnYZJQrVy7c3d3j7ZI7ffo0AQEBTuqVJJdevXqxfPly1qxZQ/78+e3XAwICuHHjBhcvXnRor+89fdm6dStnzpyhYsWKeHh44OHhwdq1a5k4cSIeHh74+/vre3YRgYGBlCpVyuFayZIlOXr0KID9+9Tv8vTtjTfeoF+/frRq1YqyZcvSrl07Xn31VUaMGAG47vesYJeMvLy8qFSpEqtXr7Zfi46OZvXq1VSrVs2JPZP7YVkWvXr14osvvuDHH38kODjY4fFKlSrh6enp8L3v27ePo0eP6ntPR+rUqcPOnTvZsWOH/Va5cmXatm1r/1nfs2uoUaNGvJJF+/fvp1ChQgAEBwcTEBDg8F2Hh4ezceNGfdfpyNWrV3Fzc4w57u7uREdHAy78PTt794arWbBggeXt7W3Nnj3b2r17t9W1a1cre/bs1qlTp5zdNblHPXr0sPz8/KyffvrJOnnypP129epVe5vu3btbBQsWtH788Udry5YtVrVq1axq1ao5sdeSHOLuirUsfc+uYtOmTZaHh4c1bNgw68CBA9a8efOszJkzW3PnzrW3GTlypJU9e3brq6++sv744w+rSZMmVnBwsHXt2jUn9lzuRocOHax8+fJZy5cvtw4fPmwtXbrUypUrl9WnTx97G1f8nhXsUsCkSZOsggULWl5eXlaVKlWs3377zdldkvsA3PY2a9Yse5tr165ZL730kpUjRw4rc+bM1jPPPGOdPHnSeZ2WZHFrsNP37Dq+/vprq0yZMpa3t7dVokQJ6+OPP3Z4PDo62ho4cKDl7+9veXt7W3Xq1LH27dvnpN7KvQgPD7deeeUVq2DBgpaPj49VuHBh66233rIiIiLsbVzxe7ZZVpwSzCIiIiKSbmmNnYiIiIiLULATERERcREKdiIiIiIuQsFORERExEUo2ImIiIi4CAU7ERERERehYCciIiLiIhTsRERERFyEgp2IyH+OHDmCzWZjx44dzu7Kfatduza9e/d2djdEJJUp2IlIunHq1Cn+97//UbhwYby9vSlQoACNGzd2OMTb2X766SdsNhs2mw03Nzf8/PyoUKECffr04eTJkyn2fhcvXkz21xaR9MfD2R0QEUmKI0eOUKNGDbJnz857771H2bJliYyM5LvvvqNnz57s3bvX2V10sG/fPnx9fQkPD2fbtm2MHj2aGTNm8NNPP1G2bFlnd09EXJRG7EQkXXjppZew2Wxs2rSJZ599luLFi1O6dGlCQ0P57bffAOjcuTNPPfWUw/MiIyPJkycPM2bMACA6OprRo0dTtGhRvL29KViwIMOGDUvwff/8808aNGhA1qxZ8ff3p127dpw7d+6O/c2TJw8BAQEUL16cVq1a8csvv5A7d2569Ojh0G769OmULFkSHx8fSpQowYcffmh/LGZqeMGCBVSvXh0fHx/KlCnD2rVr7Y8//vjjAOTIkQObzUbHjh3tz4+OjqZPnz7kzJmTgIAA3n777Tv2W0TSOUtEJI07f/68ZbPZrOHDhyfa7pdffrHc3d2tEydO2K8tXbrUypIli3Xp0iXLsiyrT58+Vo4cOazZs2dbf/31l7Vu3Tpr2rRplmVZ1uHDhy3A2r59u2VZlvXvv/9auXPntvr372/t2bPH2rZtm1W3bl3r8ccfT7APa9assQDr33//jffY+++/bwHW6dOnLcuyrLlz51qBgYHWkiVLrEOHDllLliyxcubMac2ePduhP/nz57cWL15s7d692+rSpYuVLVs269y5c9bNmzetJUuWWIC1b98+6+TJk9bFixcty7KsWrVqWb6+vtbbb79t7d+/3/rkk08sm81mff/990n7hy4i6ZKCnYikeRs3brQAa+nSpXdsW6pUKWvUqFH2+40bN7Y6duxoWZZlhYeHW97e3vYgd6tbg93QoUOtevXqObQ5duyYPUjdTmLBbsWKFRZgbdy40bIsyypSpIg1f/58hzZDhw61qlWr5tCfkSNH2h+PjIy08ufPb/+MCb1frVq1rEcffdTh2sMPP2z17dv3tv0WEdegNXYikuZZlpXktl26dOHjjz+mT58+nD59mhUrVvDjjz8CsGfPHiIiIqhTp06SXuv3339nzZo1ZM2aNd5jBw8epHjx4knuF8R+DpvNxpUrVzh48CAvvPACL774or3NzZs38fPzc3hetWrV7D97eHhQuXJl9uzZc8f3e+ihhxzuBwYGcubMmbvqs4ikLwp2IpLmFStWDJvNlqQNEu3bt6dfv35s2LCBX3/9leDgYGrWrAlApkyZ7up9L1++TOPGjRk1alS8xwIDA+/qtQB7GAsKCuLy5csATJs2japVqzq0c3d3v+vXvh1PT0+H+zabjejo6GR5bRFJm7R5QkTSvJw5c1K/fn0mT57MlStX4j0et9THAw88QNOmTZk1axazZ8+mU6dO9seKFStGpkyZklwepWLFiuzatYugoCCKFi3qcMuSJctdfYZr167x8ccf89hjj5E7d278/f3Jmzcvhw4divfawcHBDs+N2RwCZkRv69atlCxZEgAvLy8AoqKi7qo/IuKaFOxEJF2YPHkyUVFRVKlShSVLlnDgwAH27NnDxIkTHaYqwUzHfvLJJ+zZs4cOHTrYr/v4+NC3b1/69OnDnDlzOHjwIL/99pt9x+ytevbsyYULF2jdujWbN2/m4MGDfPfdd3Tq1OmOQerMmTOcOnWKAwcOsGDBAmrUqMG5c+eYMmWKvc0777zDiBEjmDhxIvv372fnzp3MmjWLcePGxfvsX3zxBXv37qVnz578+++/dO7cGYBChQphs9lYvnw5Z8+etY8EikjGpKlYEUkXChcuzLZt2xg2bBivvfYaJ0+eJHfu3FSqVMkhLAGEhIQQGBhI6dKlyZs3r8NjAwcOxMPDg0GDBnHixAkCAwPp3r37bd8zb968/PLLL/Tt25d69eoRERFBoUKFePLJJ3FzS/z/ix988EFsNhtZs2alcOHC1KtXj9DQUAICAuxtunTpQubMmXnvvfd44403yJIlC2XLlo13YsTIkSMZOXIkO3bsoGjRoixbtoxcuXIBkC9fPt555x369etHp06daN++PbNnz07iP1URcTU2625WJYuIpAOXL18mX758zJo1i2bNmjm7O/fsyJEjBAcHs337dsqXL+/s7ohIOqAROxFxGdHR0Zw7d46xY8eSPXt2nn76aWd3SUQkVSnYiYjLOHr0KMHBweTPn5/Zs2fj4aFfcSKSsWgqVkRERMRFaFesiIiIiItQsBMRERFxEQp2IiIiIi5CwU5ERETERSjYiYiIiLgIBTsRERERF6FgJyIiIuIiFOxEREREXISCnYiIiIiL+D9Gq/0Z3oQ2xgAAAABJRU5ErkJggg==", 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for i, row in before_after_df.iterrows():\n", " plt.axhline(1, color='grey', ls='--')\n", " plt.plot(row['cycle_depths_0'], row['fidelities_0'], '*', color='red')\n", " plt.plot(row['cycle_depths_c'], row['fidelities_c'], 'o', color='blue')\n", "\n", " xx = np.linspace(0, np.max(row['cycle_depths_0']))\n", " plt.plot(\n", " xx,\n", " exponential_decay(xx, a=row['a_0'], layer_fid=row['layer_fid_0']),\n", " color='red',\n", " label=f'f_0 = {row[\"layer_fid_0\"]:.3f}',\n", " )\n", " plt.plot(\n", " xx,\n", " exponential_decay(xx, a=row['a_c'], layer_fid=row['layer_fid_c']),\n", " color='blue',\n", " label=f'f_c = {row[\"layer_fid_c\"]:.3f}',\n", " )\n", "\n", " plt.xlabel('Cycle Depth')\n", " plt.ylabel('Fidelity')\n", " plt.legend(loc='best')\n", " plt.tight_layout()\n", " plt.show()" ] } ], "metadata": { "colab": { "name": "parallel_xeb.ipynb", "toc_visible": true }, "kernelspec": { "display_name": "Python 3", "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": "3.10.17" } }, "nbformat": 4, "nbformat_minor": 0 }