From a942c559156a8260eef0a394f7487902fb1db7ab Mon Sep 17 00:00:00 2001 From: nathanearnestnoble <51792809+nathanearnestnoble@users.noreply.github.com> Date: Tue, 3 Mar 2026 10:30:32 -0500 Subject: [PATCH 01/14] updating spin-chain-vqe tutorial to use SPSA Work done by Aryaman Manish Kolhe (Chasmiccoder) and Ritajit Majumdar (ritajitmajumdar1) --- docs/tutorials/spin-chain-vqe.ipynb | 865 +++++++++++++++------------- 1 file changed, 462 insertions(+), 403 deletions(-) diff --git a/docs/tutorials/spin-chain-vqe.ipynb b/docs/tutorials/spin-chain-vqe.ipynb index 092b4d6e552..f1a8c31122e 100644 --- a/docs/tutorials/spin-chain-vqe.ipynb +++ b/docs/tutorials/spin-chain-vqe.ipynb @@ -1,411 +1,470 @@ { - "cells": [ - { - "cell_type": "markdown", - "id": "eb419bc5-908c-4f0d-a4ff-c4d13f04e332", - "metadata": { - "tags": [] - }, - "source": [ - "---\n", - "title: Ground state energy estimation of the Heisenberg chain with VQE\n", - "description: Build, deploy, and run a Qiskit pattern for simulating a Heisenberg chain and estimating its ground state energy.\n", - "---\n", - "\n", - "\n", - "# Ground-state energy estimation of the Heisenberg chain with VQE\n", - "*Usage estimate: Two minutes on an Eagle r3 processor (NOTE: This is an estimate only. Your runtime might vary.)*" - ] - }, - { - "cell_type": "markdown", - "id": "49d868bf", - "metadata": {}, - "source": [ - "## Background\n", - "\n", - "This tutorial shows how to build, deploy, and run a `Qiskit pattern` for simulating a Heisenberg chain and estimating its ground state energy. For more information about `Qiskit patterns` and how `Qiskit Serverless` can be used to deploy them to the cloud for managed execution, visit our [docs page on IBM Quantum® Platform](/docs/guides/serverless)." - ] - }, - { - "cell_type": "markdown", - "id": "bc52f763", - "metadata": {}, - "source": [ - "## Requirements\n", - "\n", - "Before starting this tutorial, ensure that you have the following installed:\n", - "\n", - "* Qiskit SDK v1.2 or later, with [visualization](/docs/api/qiskit/visualization) support\n", - "* Qiskit Runtime v0.28 or later (`pip install qiskit-ibm-runtime`)\n", - "* Qiskit Serverless (pip install qiskit_serverless)\n", - "* IBM Catalog (pip install qiskit-ibm-catalog)" - ] - }, - { - "cell_type": "markdown", - "id": "a46e9e3e", - "metadata": {}, - "source": [ - "## Setup" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "c37bfdb1-bb7c-4177-a3af-37ec32558fd0", - "metadata": {}, - "outputs": [], - "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "\n", - "from scipy.optimize import minimize\n", - "from typing import Sequence\n", - "\n", - "\n", - "from qiskit import QuantumCircuit\n", - "from qiskit.quantum_info import SparsePauliOp\n", - "from qiskit.primitives.base import BaseEstimatorV2\n", - "from qiskit.circuit.library import XGate\n", - "from qiskit.circuit.library import efficient_su2\n", - "from qiskit.transpiler import PassManager\n", - "from qiskit.transpiler.preset_passmanagers import generate_preset_pass_manager\n", - "from qiskit.transpiler.passes.scheduling import (\n", - " ALAPScheduleAnalysis,\n", - " PadDynamicalDecoupling,\n", - ")\n", - "\n", - "from qiskit_ibm_runtime import QiskitRuntimeService\n", - "from qiskit_ibm_runtime import Session, Estimator\n", - "\n", - "from qiskit_ibm_catalog import QiskitServerless, QiskitFunction" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "faef6e0d-f09d-46fb-8b4f-e1b56f7c6b3a", - "metadata": {}, - "outputs": [], - "source": [ - "def visualize_results(results):\n", - " plt.plot(results[\"cost_history\"], lw=2)\n", - " plt.xlabel(\"Iteration\")\n", - " plt.ylabel(\"Energy\")\n", - " plt.show()\n", - "\n", - "\n", - "def build_callback(\n", - " ansatz: QuantumCircuit,\n", - " hamiltonian: SparsePauliOp,\n", - " estimator: BaseEstimatorV2,\n", - " callback_dict: dict,\n", - "):\n", - " def callback(current_vector):\n", - " # Keep track of the number of iterations\n", - " callback_dict[\"iters\"] += 1\n", - " # Set the prev_vector to the latest one\n", - " callback_dict[\"prev_vector\"] = current_vector\n", - " # Compute the value of the cost function at the current vector\n", - " current_cost = (\n", - " estimator.run([(ansatz, hamiltonian, [current_vector])])\n", - " .result()[0]\n", - " .data.evs[0]\n", - " )\n", - " callback_dict[\"cost_history\"].append(current_cost)\n", - " # Print to screen on single line\n", - " print(\n", - " \"Iters. done: {} [Current cost: {}]\".format(\n", - " callback_dict[\"iters\"], current_cost\n", - " ),\n", - " end=\"\\r\",\n", - " flush=True,\n", - " )\n", - "\n", - " return callback" - ] - }, - { - "cell_type": "markdown", - "id": "132fb15f-10b4-4d7e-83d8-f512a6f675d1", - "metadata": {}, - "source": [ - "## Step 1: Map classical inputs to a quantum problem\n", - "\n", - "* Input: Number of spins\n", - "* Output: Ansatz and Hamiltonian modeling the Heisenberg chain\n", - "\n", - "Construct an ansatz and Hamiltonian which model a 10-spin Heisenberg chain. First, we import some generic packages and create a couple of helper functions." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "7e8d2f10-f1d6-4ec2-bac9-9db23499c9e1", - "metadata": {}, - "outputs": [ + "cells": [ { - "data": { - "text/plain": [ - "\"Output" + "cell_type": "markdown", + "id": "eb419bc5-908c-4f0d-a4ff-c4d13f04e332", + "metadata": { + "tags": [] + }, + "source": [ + "# Ground-state energy estimation of the Heisenberg chain with VQE\n", + "\n", + "*Usage estimate: 37 minutes on a Heron processor (NOTE: This is an estimate only. Your runtime might vary.)*\n", + "\n" ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "num_spins = 10\n", - "ansatz = efficient_su2(num_qubits=num_spins, reps=3)\n", - "\n", - "# Remember to insert your token in the QiskitRuntimeService constructor\n", - "service = QiskitRuntimeService()\n", - "backend = service.least_busy(\n", - " operational=True, min_num_qubits=num_spins, simulator=False\n", - ")\n", - "\n", - "coupling = backend.target.build_coupling_map()\n", - "reduced_coupling = coupling.reduce(list(range(num_spins)))\n", - "\n", - "edge_list = reduced_coupling.graph.edge_list()\n", - "ham_list = []\n", - "\n", - "for edge in edge_list:\n", - " ham_list.append((\"ZZ\", edge, 0.5))\n", - " ham_list.append((\"YY\", edge, 0.5))\n", - " ham_list.append((\"XX\", edge, 0.5))\n", - "\n", - "for qubit in reduced_coupling.physical_qubits:\n", - " ham_list.append((\"Z\", [qubit], np.random.random() * 2 - 1))\n", - "\n", - "hamiltonian = SparsePauliOp.from_sparse_list(ham_list, num_qubits=num_spins)\n", - "\n", - "ansatz.draw(\"mpl\", style=\"iqp\")" - ] - }, - { - "cell_type": "markdown", - "id": "ab79119b-5e56-49d8-a20e-1c8e665baec0", - "metadata": {}, - "source": [ - "## Step 2: Optimize problem for quantum hardware execution\n", - "\n", - "* Input: Abstract circuit, observable\n", - "* Output: Target circuit and observable, optimized for the selected QPU\n", - "\n", - "Use the `generate_preset_pass_manager` function from Qiskit to automatically generate an optimization routine for our circuit with respect to the selected QPU. We choose `optimization_level=3`, which provides the highest level of optimization of the preset pass managers. We also include `ALAPScheduleAnalysis` and `PadDynamicalDecoupling` scheduling passes to suppress decoherence errors." - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "a0a5f1c8-5c31-4d9f-ae81-37bd67271d44", - "metadata": {}, - "outputs": [ + }, + { + "cell_type": "markdown", + "id": "49d868bf", + "metadata": {}, + "source": [ + "## Background\n", + "\n", + "This tutorial shows how to build, deploy, and run a `Qiskit pattern` for simulating a Heisenberg chain and estimating its ground state energy using the SPSA optimizer. For more information about Qiskit pattern, refer to the [documentation](https://qiskit.org/documentation/guides/patterns/index.html)." + ] + }, + { + "cell_type": "markdown", + "id": "bc52f763", + "metadata": {}, + "source": [ + "## Requirements\n", + "\n", + "Before starting this tutorial, ensure that you have the following installed:\n", + "\n", + "* Qiskit SDK 2.0 or later, with visualization support (`pip install 'qiskit[visualization]'`)\n", + "* Qiskit Runtime 0.44 or later (`pip install qiskit-ibm-runtime`)\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "a46e9e3e", + "metadata": {}, + "source": [ + "## Setup\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "e7754922", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from typing import Sequence\n", + "\n", + "from qiskit import QuantumCircuit\n", + "from qiskit.quantum_info import SparsePauliOp\n", + "from qiskit.primitives import BaseEstimatorV2\n", + "from qiskit.circuit.library import XGate\n", + "from qiskit.circuit.library import efficient_su2\n", + "from qiskit.transpiler import PassManager\n", + "from qiskit.transpiler.preset_passmanagers import generate_preset_pass_manager\n", + "from qiskit.transpiler.passes.scheduling import (\n", + " ALAPScheduleAnalysis,\n", + " PadDynamicalDecoupling,\n", + ")\n", + "from qiskit_ibm_runtime import QiskitRuntimeService, Session, EstimatorV2\n", + "\n", + "\n", + "def visualize_results(results):\n", + " plt.plot(results[\"cost_history\"], lw=2)\n", + " plt.xlabel(\"Number of function evaluations\")\n", + " plt.ylabel(\"Energy\")\n", + " plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "132fb15f-10b4-4d7e-83d8-f512a6f675d1", + "metadata": {}, + "source": [ + "## Step 1: Map classical inputs to a quantum problem\n", + "\n", + "* Input: Number of spins\n", + "* Output: Ansatz and Hamiltonian modeling the Heisenberg chain\n", + "\n", + "Construct an ansatz and Hamiltonian which model a 10-spin Heisenberg chain. First, we import some generic packages and create a couple of helper functions.\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "7e8d2f10-f1d6-4ec2-bac9-9db23499c9e1", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "qiskit_runtime_service._discover_account:WARNING:2026-01-12 07:30:32,269: Loading account with the given token. A saved account will not be used.\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "num_spins = 10\n", + "ansatz = efficient_su2(num_qubits=num_spins, reps=2)\n", + "\n", + "service = QiskitRuntimeService(\n", + " channel=\"ibm_cloud\",\n", + " token= # Replace with your actual API token\n", + " instance = # Replace with your instance name if needed\n", + ")\n", + "backend = service.least_busy(\n", + " operational=True, min_num_qubits=num_spins, simulator=False\n", + ")\n", + "\n", + "coupling = backend.target.build_coupling_map()\n", + "reduced_coupling = coupling.reduce(list(range(num_spins)))\n", + "\n", + "edge_list = reduced_coupling.graph.edge_list()\n", + "ham_list = []\n", + "\n", + "for edge in edge_list:\n", + " ham_list.append((\"ZZ\", edge, 0.5))\n", + " ham_list.append((\"YY\", edge, 0.5))\n", + " ham_list.append((\"XX\", edge, 0.5))\n", + "\n", + "for qubit in reduced_coupling.physical_qubits:\n", + " ham_list.append((\"Z\", [qubit], np.random.random() * 2 - 1))\n", + "\n", + "hamiltonian = SparsePauliOp.from_sparse_list(ham_list, num_qubits=num_spins)\n", + "\n", + "ansatz.draw(\"mpl\", style=\"iqp\")" + ] + }, + { + "cell_type": "markdown", + "id": "ab79119b-5e56-49d8-a20e-1c8e665baec0", + "metadata": {}, + "source": [ + "## Step 2: Optimize problem for quantum hardware execution\n", + "\n", + "* Input: Abstract circuit, observable\n", + "* Output: Target circuit and observable, optimized for the selected QPU\n", + "\n", + "Use the `generate_preset_pass_manager` function from Qiskit to automatically generate an optimization routine for our circuit with respect to the selected QPU. We choose `optimization_level=3`, which provides the highest level of optimization of the preset pass managers. We also include `ALAPScheduleAnalysis` and `PadDynamicalDecoupling` scheduling passes to suppress decoherence errors.\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "a0a5f1c8-5c31-4d9f-ae81-37bd67271d44", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "target = backend.target\n", + "pm = generate_preset_pass_manager(optimization_level=3, target=target)\n", + "pm.scheduling = PassManager(\n", + " [\n", + " ALAPScheduleAnalysis(durations=target.durations()),\n", + " PadDynamicalDecoupling(\n", + " durations=target.durations(),\n", + " dd_sequence=[XGate(), XGate()],\n", + " pulse_alignment=target.pulse_alignment,\n", + " ),\n", + " ]\n", + ")\n", + "isa_ansatz = pm.run(ansatz)\n", + "isa_observable = hamiltonian.apply_layout(isa_ansatz.layout)\n", + "isa_ansatz.draw(\"mpl\", scale=0.6, style=\"iqp\", fold=-1, idle_wires=False)" + ] + }, + { + "cell_type": "markdown", + "id": "9e889d0b-30b5-4e6b-84c9-d1f096abf132", + "metadata": {}, + "source": [ + "## Step 3: Execute using Qiskit primitives\n", + "\n", + "* Input: Target circuit and observable\n", + "* Output: Results of optimization\n", + "\n", + "Minimize the estimated ground state energy of the system by optimizing the circuit parameters. Use the `Estimator` primitive from Qiskit Runtime to evaluate the cost function during optimization.\n", + "\n", + "Since we optimized the circuit for the backend in Step 2, we can avoid doing transpilation on the Runtime server by setting `skip_transpilation=True` and passing the optimized circuit. For this demo, we will run on a QPU using `qiskit-ibm-runtime` primitives. To run with `qiskit` statevector-based primitives, replace the block of code using Qiskit IBM Runtime primitives with the commented block.\n", + "\n", + "In this tutorial we use SPSA, which is a gradient based optimizer. Next we give a brief introduction to it, and provide the code to implement SPSA using Qiskit 2.0." + ] + }, + { + "cell_type": "markdown", + "id": "64f97e6f", + "metadata": {}, + "source": [ + "### Introducing SPSA\n", + "\n", + "Simultaneous Perturbation Stochastic Approximation (SPSA) [1] is an optimization algorithm that approximates the entire gradient vector using 2 function calls only at each iteration. Let $f:\\mathbb{R}^p\\rightarrow \\mathbb{R}$ be the cost function with $p$ parameters to be optimized, and $x_i\\in \\mathbb{R}^p$ be the parameter vector at the $i$-th step of iteration. To compute the gradient, a random vector $\\Delta_i$ of size $p$ is created, where each element $\\Delta_{ij}$, $\\forall$ $j\\in \\{1,2,...,p\\}$, is uniformly sampled from $\\{-1, 1\\}$. Next, each element of the random vector $\\Delta_i$ is multiplied with a small value $c_i$ to create a random perturbation. The gradient is then estimated as\n", + "\n", + "$$[\\nabla f(x_i)]_j \\approx \\frac{f(x_i + c_i \\Delta_i) - f(x_i - c_i \\Delta_i)}{2c_i\\Delta_{ij}}.$$\n", + "\n", + "Intuitively, since a random perturbation is applied during the gradient estimation, it is expectation that small deviations in the exact values of $f$ coming from noise can be tolerated and accounted for. In fact, SPSA is particularly known to be robust against noise, and requires only two hardware calls for each iteration. It is, therefore, one of the highly preferred optimizers for implementing variational algorithms.\n", + "\n", + "In this tutorial, the hyperparameters for the $i$-th iteration, $a_i$ and $c_i$, are computed as $a_i = a/(A + i + 1)^\\alpha$ and $c_i = c / (i+1)^\\gamma$, where the constant values are taken as $A = 30$, $\\alpha = 0.9$, $a = 0.3$, $c = 0.1$, and $\\gamma = 0.4$. These values are selected from [2]. Appropriate tuning of hyperparameters is necessary for extracting a good performance out of SPSA." + ] + }, { - "data": { - "text/plain": [ - "\"Output" + "cell_type": "code", + "execution_count": null, + "id": "73a9352c", + "metadata": {}, + "outputs": [], + "source": [ + "def spsa(\n", + " fun, x0, args=(),\n", + " A = 30, alpha = 0.9, a = 0.3, c = 0.1, gamma = 0.4, maxiter=100\n", + " ):\n", + " nparams = len(x0)\n", + " x = np.copy(x0)\n", + " \n", + " for i in range(maxiter):\n", + " a_i = a / (A + i + 1) ** alpha\n", + " c_i = c / (i + 1) ** gamma\n", + " delta_i = np.random.choice([-1, 1], nparams)\n", + "\n", + " # two hardware calls\n", + " eval_1 = fun(x + c_i * delta_i, *args)\n", + " eval_2 = fun(x - c_i * delta_i, *args)\n", + "\n", + " # compute the gradient and update the parameters\n", + " grad = (eval_1 - eval_2) / (2 * c_i) * np.reciprocal(delta_i)\n", + " x = x - a_i * grad\n", + "\n", + " return x" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "32ca3b6a", + "metadata": {}, + "outputs": [], + "source": [ + "def cost_func(\n", + " params: Sequence,\n", + " ansatz: QuantumCircuit,\n", + " hamiltonian: SparsePauliOp,\n", + " estimator: BaseEstimatorV2,\n", + " cost_history_dict: dict,\n", + ") -> float:\n", + " \"\"\"Ground state energy evaluation.\"\"\"\n", + " energy = estimator.run([(ansatz, hamiltonian, [params])]).result()[0].data.evs\n", + "\n", + " cost_history_dict['iters'] += 1\n", + " cost_history_dict['prev_vector'] = list(params)\n", + " cost_history_dict['cost_history'].append(float(energy[0]))\n", + "\n", + " print(\n", + " f\"Fx Iters. done: {cost_history_dict['iters']} [Current cost: {round(energy[0], 5)}]\",\n", + " end=\"\\r\",\n", + " )\n", + " \n", + " return energy\n", + "\n", + "\n", + "def solve(x0, isa_ansatz, isa_observable, maxiter=150):\n", + " cost_history_dict = {\n", + " \"prev_vector\": None,\n", + " \"iters\": 0,\n", + " \"cost_history\": [],\n", + " 'y_min': None,\n", + " }\n", + "\n", + " # Evaluate the problem using a QPU via Qiskit IBM Runtime\n", + " with Session(backend=backend) as session:\n", + " estimator = EstimatorV2()\n", + " estimator.skip_transpilation = True\n", + " x_opt = spsa(\n", + " cost_func,\n", + " x0=x0,\n", + " args=(isa_ansatz, isa_observable, estimator, cost_history_dict),\n", + " maxiter=maxiter\n", + " )\n", + "\n", + " y_min = cost_func(x_opt, isa_ansatz, isa_observable, estimator, cost_history_dict)\n", + " \n", + " return y_min, cost_history_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "f418b372", + "metadata": {}, + "outputs": [], + "source": [ + "np.random.seed(42)\n", + "num_params = ansatz.num_parameters\n", + "params = 2 * np.pi * np.random.random(num_params)" + ] + }, + { + "cell_type": "markdown", + "id": "3bf42923", + "metadata": {}, + "source": [ + "Here we set the `maxiter = 50`. Note that since each iteration requires two calls to the function to compute gradient, the total number of function calls will be $2 \\times \\text{maxiter}$. The `maxiter` can be increased to any higher value for better energy estimation." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "1732ce37", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Fx Iters. done: 101 [Current cost: -2.19621]\r" + ] + } + ], + "source": [ + "maxiter = 50\n", + "spsa_min, spsa_history = solve(params, isa_ansatz, isa_observable, maxiter=maxiter)" + ] + }, + { + "cell_type": "markdown", + "id": "33abbb3f-6245-4610-a05d-e2bc4cc551f0", + "metadata": {}, + "source": [ + "## Step 4: Post-process and return result in desired classical format\n", + "\n", + "* Input: Ground state energy estimates during optimization\n", + "* Output: Estimated ground state energy\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "e5b58771-d543-4e75-9746-fbc7b28e4360", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Estimated ground state energy: [-2.19621239]\n" + ] + } + ], + "source": [ + "print(f'Estimated ground state energy: {spsa_min}')" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "ecd7762a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "results = {\n", + " 'spsa': spsa_history,\n", + "}\n", + "\n", + "visualize_results(spsa_history)" + ] + }, + { + "cell_type": "markdown", + "id": "217a9379", + "metadata": {}, + "source": [ + "## References\n", + "\n", + "[1] Spall, J. C. (2002). Implementation of the simultaneous perturbation algorithm for stochastic optimization. \n", + "IEEE Transactions on Aerospace and Electronic Systems, 34(3), 817-823.\n", + "\n", + "[2] Sahin, M. Emre, et al (2025). Qiskit Machine Learning: an open-source library for quantum machine learning tasks at scale on quantum hardware and classical simulators. arXiv:2505.17756." + ] + }, + { + "cell_type": "markdown", + "id": "c14b0e0a", + "metadata": {}, + "source": [ + "## Tutorial survey\n", + "\n", + "Please take this short survey to provide feedback on this tutorial. Your insights will help us improve our content offerings and user experience.\n", + "\n", + "[Link to survey](https://your.feedback.ibm.com/jfe/form/SV_bfuBwfNeeFBxnim)\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "a1b8767d", + "metadata": {}, + "source": [ + "© IBM Corp., 2017-2025" ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" } - ], - "source": [ - "target = backend.target\n", - "pm = generate_preset_pass_manager(optimization_level=3, backend=backend)\n", - "pm.scheduling = PassManager(\n", - " [\n", - " ALAPScheduleAnalysis(durations=target.durations()),\n", - " PadDynamicalDecoupling(\n", - " durations=target.durations(),\n", - " dd_sequence=[XGate(), XGate()],\n", - " pulse_alignment=target.pulse_alignment,\n", - " ),\n", - " ]\n", - ")\n", - "ansatz_ibm = pm.run(ansatz)\n", - "observable_ibm = hamiltonian.apply_layout(ansatz_ibm.layout)\n", - "ansatz_ibm.draw(\"mpl\", scale=0.6, style=\"iqp\", fold=-1, idle_wires=False)" - ] - }, - { - "cell_type": "markdown", - "id": "9e889d0b-30b5-4e6b-84c9-d1f096abf132", - "metadata": {}, - "source": [ - "## Step 3: Execute using Qiskit primitives\n", - "\n", - "* Input: Target circuit and observable\n", - "* Output: Results of optimization\n", - "\n", - "Minimize the estimated ground state energy of the system by optimizing the circuit parameters. Use the `Estimator` primitive from Qiskit Runtime to evaluate the cost function during optimization.\n", - "\n", - "For this demo, we will run on a QPU using `qiskit-ibm-runtime` primitives. To run with `qiskit` statevector-based primitives, replace the block of code using Qiskit IBM Runtime primitives with the commented block." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "4c4b1b0b-5c61-4587-986c-7a9108bc2505", - "metadata": {}, - "outputs": [], - "source": [ - "# SciPy minimizer routine\n", - "def cost_func(\n", - " params: Sequence,\n", - " ansatz: QuantumCircuit,\n", - " hamiltonian: SparsePauliOp,\n", - " estimator: BaseEstimatorV2,\n", - ") -> float:\n", - " \"\"\"Ground state energy evaluation.\"\"\"\n", - " return (\n", - " estimator.run([(ansatz, hamiltonian, [params])])\n", - " .result()[0]\n", - " .data.evs[0]\n", - " )\n", - "\n", - "\n", - "num_params = ansatz_ibm.num_parameters\n", - "params = 2 * np.pi * np.random.random(num_params)\n", - "\n", - "callback_dict = {\n", - " \"prev_vector\": None,\n", - " \"iters\": 0,\n", - " \"cost_history\": [],\n", - "}\n", - "\n", - "# Evaluate the problem on a QPU by using Qiskit IBM Runtime\n", - "with Session(backend=backend) as session:\n", - " estimator = Estimator()\n", - " callback = build_callback(\n", - " ansatz_ibm, observable_ibm, estimator, callback_dict\n", - " )\n", - " res = minimize(\n", - " cost_func,\n", - " x0=params,\n", - " args=(ansatz_ibm, observable_ibm, estimator),\n", - " callback=callback,\n", - " method=\"cobyla\",\n", - " options={\"maxiter\": 100},\n", - " )\n", - "\n", - "visualize_results(callback_dict)" - ] - }, - { - "cell_type": "markdown", - "id": "33abbb3f-6245-4610-a05d-e2bc4cc551f0", - "metadata": {}, - "source": [ - "## Step 4: Post-process and return result in desired classical format\n", - "\n", - "* Input: Ground state energy estimates during optimization\n", - "* Output: Estimated ground state energy" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "e5b58771-d543-4e75-9746-fbc7b28e4360", - "metadata": {}, - "outputs": [], - "source": [ - "print(f'Estimated ground state energy: {res[\"fun\"]}')" - ] - }, - { - "cell_type": "markdown", - "id": "4548f97e-352e-4a8e-b2c7-3c85f12099ab", - "metadata": {}, - "source": [ - "## Deploy the Qiskit pattern to the cloud\n", - "\n", - "To do this, move the source code above to a file, `./source/heisenberg.py`, wrap the code in a script which takes inputs and returns the final solution, and finally upload it to a remote cluster using the `QiskitFunction` class from `qiskit-ibm-catalog`. For guidance on specifying external dependencies, passing input arguments, and more, check out the [Qiskit Serverless guides](/docs/guides/serverless).\n", - "\n", - "The input to the Pattern is the number of spins in the chain. The output is an estimation of the ground state energy of the system." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "970c51c8-dac5-4b64-9f20-4067666dfddc", - "metadata": {}, - "outputs": [], - "source": [ - "# Authenticate to the remote cluster and submit the pattern for remote execution\n", - "serverless = QiskitServerless()\n", - "heisenberg_function = QiskitFunction(\n", - " title=\"ibm_heisenberg\",\n", - " entrypoint=\"heisenberg.py\",\n", - " working_dir=\"./source/\",\n", - ")\n", - "serverless.upload(heisenberg_function)" - ] - }, - { - "cell_type": "markdown", - "id": "e1b5c8d0-229a-4a39-8a8a-daf1762fca54", - "metadata": {}, - "source": [ - "### Run the Qiskit pattern as a managed service\n", - "\n", - "Once we have uploaded the pattern to the cloud, we can easily run it using the `QiskitServerless` client." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "9d9e5218-bdfe-4897-8920-7d0578a32c7f", - "metadata": {}, - "outputs": [], - "source": [ - "# Run the pattern on the remote cluster\n", - "\n", - "ibm_heisenberg = serverless.load(\"ibm_heisenberg\")\n", - "job = serverless.run(ibm_heisenberg)\n", - "solution = job.result()\n", - "\n", - "print(solution)\n", - "print(job.logs())" - ] - }, - { - "cell_type": "markdown", - "id": "c14b0e0a", - "metadata": {}, - "source": [ - "## Tutorial survey\n", - "\n", - "Please take this short survey to provide feedback on this tutorial. Your insights will help us improve our content offerings and user experience.\n", - "\n", - "[Link to survey](https://your.feedback.ibm.com/jfe/form/SV_bfuBwfNeeFBxnim)" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" + ], + "metadata": { + "description": "Build, deploy, and run a Qiskit pattern for simulating a Heisenberg chain and estimating its ground state energy.", + "kernelspec": { + "display_name": "qae", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.3" + }, + "title": "Ground state energy estimation of the Heisenberg chain with VQE" }, - "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" - } - }, - "nbformat": 4, - "nbformat_minor": 5 + "nbformat": 4, + "nbformat_minor": 5 } From 835f0942c994de9d6c6726be10adfe1bc357ab49 Mon Sep 17 00:00:00 2001 From: ABBY CROSS Date: Thu, 19 Mar 2026 12:13:36 -0400 Subject: [PATCH 02/14] Fix metadata --- docs/tutorials/spin-chain-vqe.ipynb | 908 ++++++++++++++-------------- 1 file changed, 452 insertions(+), 456 deletions(-) diff --git a/docs/tutorials/spin-chain-vqe.ipynb b/docs/tutorials/spin-chain-vqe.ipynb index f1a8c31122e..146eb0c00b7 100644 --- a/docs/tutorials/spin-chain-vqe.ipynb +++ b/docs/tutorials/spin-chain-vqe.ipynb @@ -1,470 +1,466 @@ { - "cells": [ - { - "cell_type": "markdown", - "id": "eb419bc5-908c-4f0d-a4ff-c4d13f04e332", - "metadata": { - "tags": [] - }, - "source": [ - "# Ground-state energy estimation of the Heisenberg chain with VQE\n", - "\n", - "*Usage estimate: 37 minutes on a Heron processor (NOTE: This is an estimate only. Your runtime might vary.)*\n", - "\n" - ] - }, - { - "cell_type": "markdown", - "id": "49d868bf", - "metadata": {}, - "source": [ - "## Background\n", - "\n", - "This tutorial shows how to build, deploy, and run a `Qiskit pattern` for simulating a Heisenberg chain and estimating its ground state energy using the SPSA optimizer. For more information about Qiskit pattern, refer to the [documentation](https://qiskit.org/documentation/guides/patterns/index.html)." - ] - }, - { - "cell_type": "markdown", - "id": "bc52f763", - "metadata": {}, - "source": [ - "## Requirements\n", - "\n", - "Before starting this tutorial, ensure that you have the following installed:\n", - "\n", - "* Qiskit SDK 2.0 or later, with visualization support (`pip install 'qiskit[visualization]'`)\n", - "* Qiskit Runtime 0.44 or later (`pip install qiskit-ibm-runtime`)\n", - "\n" - ] - }, - { - "cell_type": "markdown", - "id": "a46e9e3e", - "metadata": {}, - "source": [ - "## Setup\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "e7754922", - "metadata": {}, - "outputs": [], - "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "from typing import Sequence\n", - "\n", - "from qiskit import QuantumCircuit\n", - "from qiskit.quantum_info import SparsePauliOp\n", - "from qiskit.primitives import BaseEstimatorV2\n", - "from qiskit.circuit.library import XGate\n", - "from qiskit.circuit.library import efficient_su2\n", - "from qiskit.transpiler import PassManager\n", - "from qiskit.transpiler.preset_passmanagers import generate_preset_pass_manager\n", - "from qiskit.transpiler.passes.scheduling import (\n", - " ALAPScheduleAnalysis,\n", - " PadDynamicalDecoupling,\n", - ")\n", - "from qiskit_ibm_runtime import QiskitRuntimeService, Session, EstimatorV2\n", - "\n", - "\n", - "def visualize_results(results):\n", - " plt.plot(results[\"cost_history\"], lw=2)\n", - " plt.xlabel(\"Number of function evaluations\")\n", - " plt.ylabel(\"Energy\")\n", - " plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "132fb15f-10b4-4d7e-83d8-f512a6f675d1", - "metadata": {}, - "source": [ - "## Step 1: Map classical inputs to a quantum problem\n", - "\n", - "* Input: Number of spins\n", - "* Output: Ansatz and Hamiltonian modeling the Heisenberg chain\n", - "\n", - "Construct an ansatz and Hamiltonian which model a 10-spin Heisenberg chain. First, we import some generic packages and create a couple of helper functions.\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "7e8d2f10-f1d6-4ec2-bac9-9db23499c9e1", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "qiskit_runtime_service._discover_account:WARNING:2026-01-12 07:30:32,269: Loading account with the given token. A saved account will not be used.\n" - ] - }, - { - "data": { - "image/png": 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", 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" - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "num_spins = 10\n", - "ansatz = efficient_su2(num_qubits=num_spins, reps=2)\n", - "\n", - "service = QiskitRuntimeService(\n", - " channel=\"ibm_cloud\",\n", - " token= # Replace with your actual API token\n", - " instance = # Replace with your instance name if needed\n", - ")\n", - "backend = service.least_busy(\n", - " operational=True, min_num_qubits=num_spins, simulator=False\n", - ")\n", - "\n", - "coupling = backend.target.build_coupling_map()\n", - "reduced_coupling = coupling.reduce(list(range(num_spins)))\n", - "\n", - "edge_list = reduced_coupling.graph.edge_list()\n", - "ham_list = []\n", - "\n", - "for edge in edge_list:\n", - " ham_list.append((\"ZZ\", edge, 0.5))\n", - " ham_list.append((\"YY\", edge, 0.5))\n", - " ham_list.append((\"XX\", edge, 0.5))\n", - "\n", - "for qubit in reduced_coupling.physical_qubits:\n", - " ham_list.append((\"Z\", [qubit], np.random.random() * 2 - 1))\n", - "\n", - "hamiltonian = SparsePauliOp.from_sparse_list(ham_list, num_qubits=num_spins)\n", - "\n", - "ansatz.draw(\"mpl\", style=\"iqp\")" - ] - }, - { - "cell_type": "markdown", - "id": "ab79119b-5e56-49d8-a20e-1c8e665baec0", - "metadata": {}, - "source": [ - "## Step 2: Optimize problem for quantum hardware execution\n", - "\n", - "* Input: Abstract circuit, observable\n", - "* Output: Target circuit and observable, optimized for the selected QPU\n", - "\n", - "Use the `generate_preset_pass_manager` function from Qiskit to automatically generate an optimization routine for our circuit with respect to the selected QPU. We choose `optimization_level=3`, which provides the highest level of optimization of the preset pass managers. We also include `ALAPScheduleAnalysis` and `PadDynamicalDecoupling` scheduling passes to suppress decoherence errors.\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "a0a5f1c8-5c31-4d9f-ae81-37bd67271d44", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "target = backend.target\n", - "pm = generate_preset_pass_manager(optimization_level=3, target=target)\n", - "pm.scheduling = PassManager(\n", - " [\n", - " ALAPScheduleAnalysis(durations=target.durations()),\n", - " PadDynamicalDecoupling(\n", - " durations=target.durations(),\n", - " dd_sequence=[XGate(), XGate()],\n", - " pulse_alignment=target.pulse_alignment,\n", - " ),\n", - " ]\n", - ")\n", - "isa_ansatz = pm.run(ansatz)\n", - "isa_observable = hamiltonian.apply_layout(isa_ansatz.layout)\n", - "isa_ansatz.draw(\"mpl\", scale=0.6, style=\"iqp\", fold=-1, idle_wires=False)" - ] - }, - { - "cell_type": "markdown", - "id": "9e889d0b-30b5-4e6b-84c9-d1f096abf132", - "metadata": {}, - "source": [ - "## Step 3: Execute using Qiskit primitives\n", - "\n", - "* Input: Target circuit and observable\n", - "* Output: Results of optimization\n", - "\n", - "Minimize the estimated ground state energy of the system by optimizing the circuit parameters. Use the `Estimator` primitive from Qiskit Runtime to evaluate the cost function during optimization.\n", - "\n", - "Since we optimized the circuit for the backend in Step 2, we can avoid doing transpilation on the Runtime server by setting `skip_transpilation=True` and passing the optimized circuit. For this demo, we will run on a QPU using `qiskit-ibm-runtime` primitives. To run with `qiskit` statevector-based primitives, replace the block of code using Qiskit IBM Runtime primitives with the commented block.\n", - "\n", - "In this tutorial we use SPSA, which is a gradient based optimizer. Next we give a brief introduction to it, and provide the code to implement SPSA using Qiskit 2.0." - ] - }, - { - "cell_type": "markdown", - "id": "64f97e6f", - "metadata": {}, - "source": [ - "### Introducing SPSA\n", - "\n", - "Simultaneous Perturbation Stochastic Approximation (SPSA) [1] is an optimization algorithm that approximates the entire gradient vector using 2 function calls only at each iteration. Let $f:\\mathbb{R}^p\\rightarrow \\mathbb{R}$ be the cost function with $p$ parameters to be optimized, and $x_i\\in \\mathbb{R}^p$ be the parameter vector at the $i$-th step of iteration. To compute the gradient, a random vector $\\Delta_i$ of size $p$ is created, where each element $\\Delta_{ij}$, $\\forall$ $j\\in \\{1,2,...,p\\}$, is uniformly sampled from $\\{-1, 1\\}$. Next, each element of the random vector $\\Delta_i$ is multiplied with a small value $c_i$ to create a random perturbation. The gradient is then estimated as\n", - "\n", - "$$[\\nabla f(x_i)]_j \\approx \\frac{f(x_i + c_i \\Delta_i) - f(x_i - c_i \\Delta_i)}{2c_i\\Delta_{ij}}.$$\n", - "\n", - "Intuitively, since a random perturbation is applied during the gradient estimation, it is expectation that small deviations in the exact values of $f$ coming from noise can be tolerated and accounted for. In fact, SPSA is particularly known to be robust against noise, and requires only two hardware calls for each iteration. It is, therefore, one of the highly preferred optimizers for implementing variational algorithms.\n", - "\n", - "In this tutorial, the hyperparameters for the $i$-th iteration, $a_i$ and $c_i$, are computed as $a_i = a/(A + i + 1)^\\alpha$ and $c_i = c / (i+1)^\\gamma$, where the constant values are taken as $A = 30$, $\\alpha = 0.9$, $a = 0.3$, $c = 0.1$, and $\\gamma = 0.4$. These values are selected from [2]. Appropriate tuning of hyperparameters is necessary for extracting a good performance out of SPSA." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "73a9352c", - "metadata": {}, - "outputs": [], - "source": [ - "def spsa(\n", - " fun, x0, args=(),\n", - " A = 30, alpha = 0.9, a = 0.3, c = 0.1, gamma = 0.4, maxiter=100\n", - " ):\n", - " nparams = len(x0)\n", - " x = np.copy(x0)\n", - " \n", - " for i in range(maxiter):\n", - " a_i = a / (A + i + 1) ** alpha\n", - " c_i = c / (i + 1) ** gamma\n", - " delta_i = np.random.choice([-1, 1], nparams)\n", - "\n", - " # two hardware calls\n", - " eval_1 = fun(x + c_i * delta_i, *args)\n", - " eval_2 = fun(x - c_i * delta_i, *args)\n", - "\n", - " # compute the gradient and update the parameters\n", - " grad = (eval_1 - eval_2) / (2 * c_i) * np.reciprocal(delta_i)\n", - " x = x - a_i * grad\n", - "\n", - " return x" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "32ca3b6a", - "metadata": {}, - "outputs": [], - "source": [ - "def cost_func(\n", - " params: Sequence,\n", - " ansatz: QuantumCircuit,\n", - " hamiltonian: SparsePauliOp,\n", - " estimator: BaseEstimatorV2,\n", - " cost_history_dict: dict,\n", - ") -> float:\n", - " \"\"\"Ground state energy evaluation.\"\"\"\n", - " energy = estimator.run([(ansatz, hamiltonian, [params])]).result()[0].data.evs\n", - "\n", - " cost_history_dict['iters'] += 1\n", - " cost_history_dict['prev_vector'] = list(params)\n", - " cost_history_dict['cost_history'].append(float(energy[0]))\n", - "\n", - " print(\n", - " f\"Fx Iters. done: {cost_history_dict['iters']} [Current cost: {round(energy[0], 5)}]\",\n", - " end=\"\\r\",\n", - " )\n", - " \n", - " return energy\n", - "\n", - "\n", - "def solve(x0, isa_ansatz, isa_observable, maxiter=150):\n", - " cost_history_dict = {\n", - " \"prev_vector\": None,\n", - " \"iters\": 0,\n", - " \"cost_history\": [],\n", - " 'y_min': None,\n", - " }\n", - "\n", - " # Evaluate the problem using a QPU via Qiskit IBM Runtime\n", - " with Session(backend=backend) as session:\n", - " estimator = EstimatorV2()\n", - " estimator.skip_transpilation = True\n", - " x_opt = spsa(\n", - " cost_func,\n", - " x0=x0,\n", - " args=(isa_ansatz, isa_observable, estimator, cost_history_dict),\n", - " maxiter=maxiter\n", - " )\n", - "\n", - " y_min = cost_func(x_opt, isa_ansatz, isa_observable, estimator, cost_history_dict)\n", - " \n", - " return y_min, cost_history_dict" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "f418b372", - "metadata": {}, - "outputs": [], - "source": [ - "np.random.seed(42)\n", - "num_params = ansatz.num_parameters\n", - "params = 2 * np.pi * np.random.random(num_params)" - ] - }, - { - "cell_type": "markdown", - "id": "3bf42923", - "metadata": {}, - "source": [ - "Here we set the `maxiter = 50`. Note that since each iteration requires two calls to the function to compute gradient, the total number of function calls will be $2 \\times \\text{maxiter}$. The `maxiter` can be increased to any higher value for better energy estimation." - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "1732ce37", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Fx Iters. done: 101 [Current cost: -2.19621]\r" - ] - } - ], - "source": [ - "maxiter = 50\n", - "spsa_min, spsa_history = solve(params, isa_ansatz, isa_observable, maxiter=maxiter)" - ] - }, + "cells": [ + { + "cell_type": "markdown", + "id": "eb419bc5-908c-4f0d-a4ff-c4d13f04e332", + "metadata": { + "tags": [] + }, + "source": [ + "---\n", + "title: Ground-state energy estimation of the Heisenberg chain with VQE\n", + "description: Build, deploy, and run a Qiskit pattern for simulating a Heisenberg chain and estimating its ground state energy.\n", + "---\n", + "\n", + "# Ground-state energy estimation of the Heisenberg chain with VQE\n", + "\n", + "*Usage estimate: 37 minutes on a Heron processor (NOTE: This is an estimate only. Your runtime might vary.)*" + ] + }, + { + "cell_type": "markdown", + "id": "49d868bf", + "metadata": {}, + "source": [ + "## Background\n", + "\n", + "This tutorial shows how to build, deploy, and run a `Qiskit pattern` for simulating a Heisenberg chain and estimating its ground state energy using the SPSA optimizer. For more information about Qiskit pattern, refer to the [documentation](https://qiskit.org/documentation/guides/patterns/index.html)." + ] + }, + { + "cell_type": "markdown", + "id": "bc52f763", + "metadata": {}, + "source": [ + "## Requirements\n", + "\n", + "Before starting this tutorial, ensure that you have the following installed:\n", + "\n", + "* Qiskit SDK 2.0 or later, with visualization support (`pip install 'qiskit[visualization]'`)\n", + "* Qiskit Runtime 0.44 or later (`pip install qiskit-ibm-runtime`)" + ] + }, + { + "cell_type": "markdown", + "id": "a46e9e3e", + "metadata": {}, + "source": [ + "## Setup" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "e7754922", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from typing import Sequence\n", + "\n", + "from qiskit import QuantumCircuit\n", + "from qiskit.quantum_info import SparsePauliOp\n", + "from qiskit.primitives import BaseEstimatorV2\n", + "from qiskit.circuit.library import XGate\n", + "from qiskit.circuit.library import efficient_su2\n", + "from qiskit.transpiler import PassManager\n", + "from qiskit.transpiler.preset_passmanagers import generate_preset_pass_manager\n", + "from qiskit.transpiler.passes.scheduling import (\n", + " ALAPScheduleAnalysis,\n", + " PadDynamicalDecoupling,\n", + ")\n", + "from qiskit_ibm_runtime import QiskitRuntimeService, Session, EstimatorV2\n", + "\n", + "\n", + "def visualize_results(results):\n", + " plt.plot(results[\"cost_history\"], lw=2)\n", + " plt.xlabel(\"Number of function evaluations\")\n", + " plt.ylabel(\"Energy\")\n", + " plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "132fb15f-10b4-4d7e-83d8-f512a6f675d1", + "metadata": {}, + "source": [ + "## Step 1: Map classical inputs to a quantum problem\n", + "\n", + "* Input: Number of spins\n", + "* Output: Ansatz and Hamiltonian modeling the Heisenberg chain\n", + "\n", + "Construct an ansatz and Hamiltonian which model a 10-spin Heisenberg chain. First, we import some generic packages and create a couple of helper functions." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "7e8d2f10-f1d6-4ec2-bac9-9db23499c9e1", + "metadata": {}, + "outputs": [ { - "cell_type": "markdown", - "id": "33abbb3f-6245-4610-a05d-e2bc4cc551f0", - "metadata": {}, - "source": [ - "## Step 4: Post-process and return result in desired classical format\n", - "\n", - "* Input: Ground state energy estimates during optimization\n", - "* Output: Estimated ground state energy\n", - "\n" - ] + "name": "stderr", + "output_type": "stream", + "text": [ + "qiskit_runtime_service._discover_account:WARNING:2026-01-12 07:30:32,269: Loading account with the given token. A saved account will not be used.\n" + ] }, { - "cell_type": "code", - "execution_count": 10, - "id": "e5b58771-d543-4e75-9746-fbc7b28e4360", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Estimated ground state energy: [-2.19621239]\n" - ] - } - ], - "source": [ - "print(f'Estimated ground state energy: {spsa_min}')" + "data": { + "image/png": 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wABNHNIdbjRvLiEiZHB2sMWpAYxz7vR/OrH4KHjVvfOe9Peyx4suueOQhX3MfItF9U+VcFncrbknq168vF7OIiIiIiJTC1cUWNtY3Wm9Jg82zlQaRumg0GjSpVxO2NjfigBVjACkIi1sK4hocgHYzX4a1kz2yY5Owa9wcuDasjW6/voOMyHhsHvQx8lIyYGVvg/ZfjIZHaH0Yig04MnUJLm3YJ++j5fvDEPhEO6SejMb2ETNg6XKij+PSNy+hODcTNp4BCHx9MfIun8aFKT1h59cIQR9thnXNWkjeuhBX185C3pUI+I+YCa++r5Xsozg/BzFzXkDOhYOAVgu/oZ/Btf3T8nuxP01E6j/L4FD/QTR4Z7UZ/6VEREREVNn898G3n0XA4w+hKL8QxfoiHJm2BPE7j9/YiUaDhz4eAb+uDwIGA858vwFnf9okvxU8sjcaD38M+uw8rO0+ESLnw3GL30X6wbXQaG8UNrz7/xdunQbJz5kPkxriwE01gvzQ568ZOP/LFhz44Gfh40BFY0DM18ORcWwLdDU85e1cWnSH/4jPFRMDVFnckrodKlGHr8Zi9+vfIPV0DBoMegStPngOF3/bIX+hb/8SNn25L4oLCrGq3Tg41a6FXhunInHPKeSnZeHQx4uRfu4K6vQUYzBB6QsaOP4nONQLlQtYsT+9CY+uI+QvcfBXx0rWc6gfhnoTlyNxxdQy+0j8Yya01rZouuAi8q9G4+zEh+DcrAt0Lu7yl92uTgjS91vul5iIiIhIrSqa/17dH4Hjs1agKK9AvhDu+ccULA8dCX1uPuo/3Qk1GtbGH+3Hw9rFAX23fI7E3aeQfj4WZ75bL9/0bT1lOETPh72enAi/YZ/KzwtS4nB6TBO4hHaDzsWD+TCpIg5INDortPv8ZVz680Cp5SLHgYrGgJtx4PaGHjcpIQZwECmFcGtaF/qcPPkLLYlcvhO1H20JrU3Z+mXgE+1xbtFm+XnWlWtI3HMadXpWfKpoS5ETdRRW9k7yl1ji3uV5XD+wFgZ9QZl1Heq2gH3tJtCUM25a2j/L4NHjZfm5rVddODftjPR9f1TDv4CIiIiIqiP/jdt+VC5sSdIiLsutNOzcXeTXgX3b4cKvW2EoLkZBehai1+xG3Sc7QGn5sM6pZsnz4twsuXWK9G+WMB8mNcQBSegbAxCzbi8yoxJKLRc1DhgTA+5GCTFAlS23lMipTi24Nq4jV5hv0tnbwsG77IwYTn4eyIpNKnktFbgc/TwgGqminHvpJM68duOLfLM5pXQnyhgFSZdh6xlQ8tqmVqC8jIiIiIiUkf/eLmhQF2RdulqSD5fNjZPgGdYQSsyHr62bjWsbv0FhSiwCxv4gd1WSMB8mNcQBjweC5O/25oFTEDrhmdL7ETQOGB8DvkbK1oWw8awD3yGflBTFlBADWNxSkKSjF7Bl8Cclrwed+hFK5xj0EIIm/1Xy+viwG/2HiYiIiEj5jM1/fTo0Q4sJA7B54MdQYz5cq894+SGN0RM9ayhcQh+Vux0RKT0OSONOt5n2Ina++AWUpqIxwHfop7B29ZF7M6Xt/UMek6vp/Atyyy8lYLdEhZDuPt3e+koaTE/nYIecxNSy68Ylw8n/1h+8NO5WdlwyRGPrVQ8FybeqyUU5GSjKy4aNu59R+5Gq1vlJl0peF1yLkZcRERERkTLyX4lX22C0/2o0tj03TR6L5865sSey42614FBiPiwN2WHj5ofMUzvl18yHSelxwDnAW26d1WPlR3j6wDwEv9RLHp+rw9djhY4DxsQAG3e/kmF6XNs+CSt7F+TFnVNMDGBxSyGkPsbFhUXw6dRcfi3N5iD1Ey4u0JdZ99K6vWj03KMlhS3vdiG4vKn0gHoikJpQaqys5RkfJEkb58Gtw0BodDZG7ce1/QAkb/q2pFmndJKv2aZflRwzEREREVV//uvVpgk6zhmH7cNnIO3MrQu4m7lx0JBu8kWfTU0n1H2iPaLX7IHS8uHcy2dKnucnRMpj9djVDpZfMx8mpceB9LOX8VvTF7Ci9Wj5Ic2GePG37fjn1blCxwFjYkBBcmzJ86xz+6DPTIGdTwPFxAB2S1SQXWO+RoevxsBm2kvIjEnErrGz4dqobLX11Lw1aD9rNPrvnQtDUTH2v/MD8lMzIaK6b/yKmNkjcHn+K7D1aYC6b/yC3EunyqyXvO1nxP/6Hoqy0uRZHq6unokG762DQ70H5BkjLs3+D06Oqi9PjVx75Fx51hgiIiIiUkb+2/6L0bCysUaHWaNvbTtujnzBG7liF9xDG6D/njkwGAw4vWCdvFxp+XDc/ybJF60anTU0Wh3qjJorT7gkYT5MaogDdyNyHKhoDIj5ejgKr1+Vv+NaG3vUn/Q7rBxrKCYGsLilINKXb32Pt+65njTl8d8vz4IS2Ac2Q5MvD91zPY+uw+VHeazsHFFv0rIqODoiIiIisoT8d1X7cXd8T5odTbrZux/KzocbvL/+ju8xHyY1xIHbHftiuWLiQEVjQMOPtyo6BrBbosIVFeph6+oszx5xc7rju2n5/jA0G/ck8tOzICqpCaY+I0WeMaIw/dp97Sv2p4lIXDEVOkdXkx0fEREREVlO/ns3wSN7y4NQ5wnWy4H5MKmd2uOARoUxQGOQ2tyRxSnMycOv9YdCFEMif4G1g53J9perBzpuhFDCHwfs2RaSiIiILJh/t6WIu5YDv1oOiN06GJZMtHzY1Dkx82FSexxQewyQMA5UHFtuERERERERERGRsFjcIiIiIiIiIiIiYbFbooWS/lukgd9FobO3hUajMdn+pL/KvCIIxc4KMOGvgIiIiEi13ZFEzIdNnRMzHya1xwG1xwAJ40DFsUe0hZK+EKbsqysa6cvA/vpERERE6sV8mPkwqZvaY4CEcaDi2C2RiIiIiIiIiIiExeIWEREREREREREJi8UtIiIiIiIiIiISFotbREREREREREQkLBa3iIiIiIiIiIhIWCxuERERERERERGRsFjcIiIiIiIiIiIiYbG4RUREREREREREwmJxi4iIiIiIiIiIhMXiFhERERERERERCYvFLSIiIiIiIiIiEhaLW0REREREREREJCwWt4iIiIiIiIiISFgsbhERERERERERkbBY3CIiIiIiIiIiImGxuEVERERERERERMJicYuIiIiIiIiIiISlM/cBUPkMBgP0ufkQhc7eFhqNxmT7MxiAvCIIxc4KMOGvgIiIiEjVRMuHTZ0TMx8mtVN7DJAwDlQci1sWSvoS/1p/KEQxJPIXWDvYmWx/0he440YIJfxxwJ7fKCIiIiJV5sOmzomZD5PaqT0GSBgHKo7dEomIiIiIiIiISFgsbhERERERERERkbBY3CIiIiIiIiIiImGxuEVERERERERERMJicYuIiIiIiIiIiITFuSyIiIiIiBQqN0+P4+dScehMMo6eTUFKer68POV6PiZ+cQBhwe5oGeKJ+rWdTTp9PRFZjiuJWTh0OhmHzyTj/KUMJKfnyctTM/Lx5aKTCAv2wINN3OHsaGPuQyWqNBa3iIiIiIgU5kxkGuYvP4v/rb2AzOzCMu/n5Rdh5v9OlrwOqV8Towc2wdDeDeDixAtcItHl5euxYksM5i2LwN7j18pdJzevCBNmHpCf29pYYeBjdeU40LqZJ4vdJBx2SyQiIiIiUojE5Bw89fo2hDy5CnOXnim3sFWe05HpGPPZXvh3/w1zlpxGcbGhyo+ViEzPYDBg2aYoBDy2DMPe+fuOha1/yy8owqJ1F9Fm6Do8PGIDzsdcr/JjJTIlttxSEO+2IeixanKpZYXZuciISkDkil2I+HEjDEXFUKrMkztx/r0upZZp7Rxh69sQ7p2HoVbvcdBY8U+eiIiIlGnJhkiMnboHaRkFld6HVAwbP22f3OJj4ZSOqF/bBSJRez4sYU6sXkmpuXjlkz1YuTXmvvYTfuQqWgz4A5+Nb4lXh4RAqxWrFZfa40CmSmOA8v5FhKhV4YjdfgTQaGDvWRMNBjyM1pOHo0aQH/ZOXAClc+00GDXCHpduW6AwLREpOxchduEbyIuNQMCY78x9eEREREQmb6nx/tzD+PT74ybb567DiXhoyFpsmv+YPCaXaNSeD0uYE6tLVGwGuo/chKjYTJPsT+q6/Mbn+3E0IkUudOt04nX6UnsccFVZDBDvL5TuKeVkNKJWhiNqxS6cnr8WG3q9g+y4ZDR8tits3cW6+1YZDvUehHvnoXDvMgze/Sei8Yx9sHb3R/KWH1B4Pcnch0dERERkUqYubN0kDT7fbeQmHDubAtGoPR+WMCdWj8sJWej8n40mK2zdbvH6ixj+/i4huyqrPQ44qCwGsLilAvrcfCQduQCNVguXAC+ojZWdIxwbtZEr1vmJkeY+HCIiIiKT+WX9xSopbN10PbMAj4/ZjNTrN2ZZFJXa82EJc2JlKigsQt/xW3AlMbvKPuPXDZH45LtjEJ3a44CVwmMAi1sq4Rx448ubn54FNbr55dU5uZn7UIiIiIhMIv5aNsZN3WvUNgeX9sWVLYPknxWVkJSDV6cb9zmWSO35sIQ5sfJIRafj51KrPA58/N1RHD8nXivOf1N7HMhXcAxQRXErOTkZkyZNQoMGDWBnZ4fatWvj1VdfRXZ2Nl544QV5mtO5c+dCKXT2NrB1c5abWtZsXAcPffYi3JvVk6vU0iB6SlecnwN9RrLc1DI35iQufzsGuVFH4RDUGnZ+Dc19eEREREQmMfrTPUjPNG7weG8PB/h7Oco/jfHL+kis23kZolB7PixhTqx8Upfhz34wvuVmZeKAXm+QuycWCTQQu9rjQLHKYoDiB5Q/duwYevbsicTERDg6OiI4OBjx8fGYPXs2IiMjkZp6o8odGhoKpXhg0iD5cbuYDfuw/+0foAYJSz+UH7er2bY/6oz6xmzHREREROYTm5iN71aelQs08Uk5sNJqEOjnhBeebIjhTzSEWw1biObE+VSs2XG52luI9OlcByJQez4sYU58i1SQ2bQ7FvOXn8Xuo1eRnauHs6M1urXxxeiBTdApzFtu8CCa6QtPoKio+sbCOnY2FRt2XUHfLgEQgdrjQILKYoBO6S22+vTpIxe2JkyYgA8//BDOzs7yezNmzMBbb70FnU4nB7LmzZtDKc4t3oyYdXuhtdbBtXEdNB3TD44+7ijKv3Vn7+H5rwNaDf4e9WXJMpuaTui3cxYOTVkkzywhKo/HRsK13QAYigqRe+kkEldNR0FyLDTWdiXrZJ4Ox8UpPctsa9AXwFBchLA/iqr5qImIiKgqZhH8aN5RfPrDsTIXgGci0zFh5gG8O+cw5r3bDiP6iXUXe/6yiGr/zAOnknD4TDLCgj1g6dSeD0uYE99w8XKGPCZVRFR6qeXSOHLL/4qWH22ae2L1193h5W4PUSQm52Dl1phq/9x5yyKEKW6pPQ54qCwGKLpb4vjx4xEbG4uxY8di5syZJYUtidRNsUWLFtDr9QgMDISLi3JmS8iISkRC+EnEbT+KU/PWYNvz0+ARWh9tp48qWWfv29+jVqtGqNuvfcmyNp+9iGsHzgr9BZbY+gTBJbQbaoT1hHf/SWjw7jrkXDyIy/NfLlnHOaQjHliWVeoRMu88dM4e8H32Y7MePxEREZnGhJn7MWXB0bu2bJCmu//PB+H4dnn1F4sqKzunUJ7BzBy+W3EWIlB7PixhTgxExWagw/PryxS2/m3fiSR0HL4eyWl5EMXPay6gUF/9XQT/2hOH6CqYlbEqqD0O2KosBii2uBUREYFly5bBw8MDU6dOLXedsLAw+adU5LrpZjGsdevWsLW1FbJ56r8lHTqHyBW75C+sZ8tG8rKC9CzsmTAfD336Iuy9XBHQqw2824Vg71sLoDROTdrBrfMwpP2zDFkRe8pdp7gwH1HT+sMpuAN8BrxT7cdIREREprVmxyXMWny6wuuP+WwvTl0wblBmczkSkSJ3qzKHvw8lQkRqz4fVmBNLLTcHTdqBqym5FVr/wqUMvDT5H4jCnN/F8COMAyJyUngMUGxxa+nSpSguLsaQIUPg5ORU7jr29vZlilsXL17EypUr4e3tjVatWkEpjs9agWJ9ER6YOLBkWdyOY4hZtwed5o5Hm2kvyV/q/DRlzhrhM/B9QGuF+CUflPv+5Xkvo7gwD4Gv/lztx0ZERESm9/UvFS9sSYqLDfjmNzFab0ldA83l/KXryMgybhB7S6H2fFhtOfH+E0k4eCrZ6KJ4TFymEIU7c8YBc372/VJ7HPBRcAxQbHFr+/bt8s8uXbrccR2plda/i1udOnVCQkIC1q5di27dukEpMmMSEb1mN3w7NUeth5qULD80eRGc63rLTTVjtx2BUtn5NIBbx0HIPLFN7ld8u2vrZuP6ofWo//ZqaG2NmzmIiIiILM/Z6HTsOGj8TFhSV7/MbMsv3Bw9m2K2zzYYbszQJiK158Nqy4nnV6KrsfT3vUCArrdxV3OQZMYulIcjxIwBErXHATsFxwDFDih/6dIl+WdAQPmD3Uljbe3evbtMcUurNX29r2XLlvKg9sawNmjxIVqb9DhOfL1SboIpVan/evojeZk+Nx9Zl64hLeL+ZttpGNQQhRrT9fnW2NjD66sLMCXvAe8iNXypXKVu9OkOeVnmiR2IXfQWgj74E7Zegfe1/4YNg2AoqFizZyIiIqo6OTZNAacBRm8ndfWrH9wONkWW3eUm2WkIYFP+APgHl/aFt8edL0q8PexLfl7ZUnoWsfIGrG41eG2Z5U8OGAb7wqovAIiWD5s6J66KfLiqc2JLyoevurwC6LyN3m7W/JVY/PmTsGSFVl5AjdGVigHGxIE7xYD9h07C3//WuE0ixQAJr4vftdjrYqkH3aFDhyq1rWKLW9nZ2fLP3Nzyf6nSeFzSbIrSIPN169at0mORCltxcXFGbWOjsQK8jPycvafxs8/Td3z/+oU4LPK/1fzSlOIT4lFgMN1MClKl2Mh/PpybdUbYmjsPGGtfu0mp2R7yr8Yg6vNn4D/8c3nb+xUfH4/i/Jz73g8RERHdJ9dAoPxRKe4pKTkdyDEub6t2gQWATflvSRe1/l6O99yFzkpbofXKk5p2Hbhe9b8j0fJhU+fElcmHzZ0TW1Q+7Kit1NVufkGx0ddu1c5OB9S4vxhwP3FArzdUy++oMjFAwuvizqq8LlZscUuq+KWlpeHIkSNo27ZtqfekbocTJ06Unzdv3rzKB42XjqUyVWpU/+QXlebr42vyCnVVkr5skVP7oUbrvqjVa6xJ9unr62sxd6qIiIjULNfaDqmV6Y+k0aCWuzOsXf1gyVJsdci7S0uLu5FaakgXtPqiYiQm3z1vudO+3FxdYO9U9b8j0fJhU+fEVZ0PV0VObEn58DWrQhRWYjs7m2K4+1l2DCi0csO1SsYAY+LAnfalk2pO1fA7UnsMUON1sXclaieKL25J42VJMyZOnz4d3bt3R8OGN5puHzx4EMOGDZNbbUlCQ0Or/Fgq06yuMCcPv9YfClGcv3Ae1g52JtufNAFQx42oMml7ViI3+jjy4s7Ls0X8W8jcM7DxrGPUPs+fvwB7xX6jiIiIxHE9swC+XZciJ8+IGQU1GjSo44Jzx45Aq7Xs2bJfnbYXs5ecKfe98roQ3U7qgiS11JAuaGt3/61Sn7/zr9/RrKEbqppo+bCpc+KqzoerIie2pHz44wVH8cE3xo+d9M3UkfjPkzNhyaRJHWq0W1ypGGCKONDjkZZYN/fG+NVVSe0xQMLr4oqzkNBjepMmTcKSJUtw5coVhISEoHHjxsjLy5NnQ+zZsycCAwPx119/lRpvS602PfUh1Ma9yzD5QURERMpTw9kGQ3vXx3crzhm13SvPNLb4wpYkLNjDbJ9tb2eFJvVqQmnUmA8rPSd+sX8jTPn2KPRFd+6e9W81nW0wqEc9WDoXJxs0DKghz16qthhUldQYB9wVFAMUO1uiv78/wsPD0atXL9jZ2SEmJgZubm5YsGABNmzYgPPnz8vrsbhFREREpDxvDGsKZ0frCq9fx8cRI/qVP0i7pTHnhWWLhm7Q6RR7CUEK4uPpgJefuTUbXkW89Z/mcLCUpmf30DLEfHFAqcUtEpuiz0xNmjTB+vXrkZmZKT/279+PkSNHyoPNS8UuaWbEpk2bmvswiYiIiMjEGtWtiVWzusJBGnj5Hrzc7bHxm8fg6mILEUgtp6QulObwRJfyZyInskRfvvkQnuhSsS5VowY0lotboqjov8vUpJsGnVtVflwkoqqi6OLWnZw+fRoGgwFBQUFwcCg7TeqKFSvkx5kzZ0q9ruyUlERERERU/bq18cPfPz2OLq18yn1f6oLY75EA7PulD0IauEIU0nFLXSirm421Fv8RpHUbkcTaWouVX3bFR688AA/X8sdBksae+vqtNpj/Xrsqn2jMlKTYJQ0MX92e7xsEZ8c7TNdKZEZitLk0sZMnT961S+KAAQPKff3888/j559/roYjJCIiIiJTaBniie0/Po4zkWn4dUMkvvrlFHLyiuTWB6f/6I/a3k4Q0fAnGuK9uYeRm2e6KefvZcCjdVHLvfovponuh5WVFh++8iD++0IL/L45Gi9/vBvZuXo42uvwy9SH0btTHSG72tpYW+Glpxrh4wXHqvVzzVFYJ6oI8b7F1VDcklp1lfdgYYuIiIhITMH1XfHp+JYlXQ9dHK2FLWxJ3GrY4sOXH6i2z3NysMYnY8Oq7fOITM3WxgpDezeQB42XSD/7PRIoZGHrpgnPNZNbnlUXqeumFEuJLJG43+QqLG6JyjU4AL02TkW/XV+h+5J3YevuAu+2IRga9Sv6bvkcdu43xmZoMOgRPLH9Czx3ZRmCX+pVah8t3x+Gpw/NxyM/TYIIcqKPI+LN1jg9pgkufNQDhdeTkHlyJ44MsMeZ10JRmH5NXi9560KcHt8Mh5/U4erar0rt427vxf40ESdeqIOLn/Wr1n8XERERUUUubFs39ayWz/r8jVYI9HOGqPnvg28/iyfDv0bfrTPRe9N0+Ha+dR3g3/VB9P5rOobFLEXrKcNL7T94ZG/03zNH3pfo+XDc4nflnFdaJj1Sd/1Wsg/mw+LODPvDRx2q5bOkSTekOGCJKhoHbqoR5Ce/d/v3XeQ4UNEYEPP1cJwY4VcSA6TvtpJigCq7JW7fvh1K1OGrsdj9+jdIPR0jF7BaffAcLv62AxmR8Vjb/dYfbsqJSOwc9SWajetfZh+HPl6M9HNXUKdna4hA+oIGjv8JDvVC5S9k7E9vwqPrCNj5NULwV7ea6DrUD0O9icuRuGJqmX3c7T3/EZ/Drk4I0vevrvJ/CxEREZExpBYnP3/SCW2GrkVGVmGFtklMzin1syJ6d6ott9iwRBXNf6/uj8DxWStQlFcgXwj3/GMKloeOhD43HxnRCdj9+jwE9mkLa8fS4zKd+W49Uk9Gl7nYFTEf9npyIvyGfSo/L0iJky+EXUK7QefiwXxYYI+198fYwcGYu/TGeNFVEQesdVr875OHLXasrYrGAYlGZ4V2n7+MS38eKLVc5DhQ0RhwMw549X0N/6aEGKDKlltK5Na0LvQ5efIXWhK5fCdqP9oSWpuy9cu0M5dw/UIcUFwMkeVEHYWVvZP8JZa4d3ke1w+shUFfUGZdh7otYF+7CTRarVHvEREREVn6zIkb5j4qjx9UEa0Gr0Xt7r/JPyui44NeWPb5IxY50LYx+W/c9qNyYUuSFnEZ0GhKWnNkRCXI+bFBX6zofFjnVLPkeXFuljQWCwz/fz3AfFhsX016CIN61Kvw+sbEASsrjTw2Wec7TMwhUhyQhL4xADHr9iIzKqHUclHjgDEx4G6UEANU2XJLiZzq1IJr4zqlmkrq7G3h4O0Gpcq/Go3cSyflJpU3FefnyHeiiIiIiNSiw4Pe2PpdT/QZvwXJaXkm2+/jHf3x+8yucKhg4UyU/DdoUBdkXbqKrNgkqC0fvrZuNq5t/AaFKbEIGPsDrGvWqsajpaocNF8qQLk4WeO7FedMtl97Oyssnd4FT3QJgKUyJg54PBAEz7CG2DxwCkInPAMlMD4GfI2UrQth41kHvkM+KSmKKYFlnqmoUpKOXsCWwZ+UvB506kconWPQQwia/FfJ6+PDqmfcCSIiIiJL0qZFLZxa1R+jP9mDVdtutGCoLKkV2IzXW+HlZ5pAq7W8Flv3k//6dGiGFhMGYPPAj6HGfLhWn/HyQxqjJ3rWULiEPgqdi3s1HSlVdYFrwQcd0L2NH0Z/ugdJ91no7hTmjYVTOqJ+7dLjVYkaB6zsbdBm2ovY+eIXUJqKxgDfoZ/C2tVHbp2VtvcPXJjSE03nX5BbfimBuG3OqBTp7pOjn0fJa2sne+gc7JCTmAqlsvWqh4LkyyWvi3IyUJSXDRt3P7MeFxEREZE5eLnbY8WXj2D5zEfQvKHxrfelcXWkrk0nV/bH6EHBFl/YMjb/9WobjPZfjca256bJY/GoOR+WuiDZuPkh89TOajhKqk5PP1oXp//oj5cHNIaDnfFtWer5O2Peu+2w48fHhShsVTQOOAd4w8nPAz1WfoSnD8yTJ1aTxufq8PVYqCUG2Lj7lXQ7dG37JKzsXZAXZ7qWfubGllsKIfUxLi4sgk+n5kjYdQKNhz+G6DW7UVygh1JJTSg1VtbIOLYFLqHdkbRxHtw6DIRGZ5kDHRIRERFVNWlsrAGP1sXT3QOx9/g1LPj9LHYdTkRMfFa569tYa+VCWL8uAXihf0N4ezhAifmvV5sm6DhnHLYPnyGPq6PGfDj38hnY1wmWn+cnRMpj9djVvvGalMXTzR7z32+Paa+1wqJ1F7Dsr2gcjUhBTl7514Y+ng5o16IWXuzfCI+287P4wnZl4kD62cv4rekLJa+lbok2NRxw4IOfoZYYUJAcCxsPf/l51rl90GemwM6nAZSCxS0F2TXma3T4agxspr2EzJhE7Bo7G66N6pRZr8EznfHAW4NhU9MRdXq0RsjLfbHt+WlIPRUN0dR941fEzB6By/Nfga1PA9R94xfkXjpVZr3kbT8j/tf3UJSVJs/ycHX1TDR4bx0c6j1w1/eIiIiIRC1ytQv1kh+SlPQ8HDubipTreSjUF8POxkpuoRHSwBU21lZQev7b/ovRsLKxRodZo29tO26OfMErdVWUWm9YO9vLv7eAXm2x7+3vcWXzISgpH4773yR5fB6NzhoarQ51Rs2VB5CWMB9WphrONhj3bIj8KCoqxtno6zh/6Tpy84rkgeJrONmgRSM3ubglsorGgbsROQ5UNAbEfD0chdevQqO1gtbGHvUn/Q4rxxqKiQEsbimIdHJe3+Ote653cflO+aEE9oHN0OTLewccj67D5Yex7xEREREpgXtNO3Rt4wu15r+r2o+743sJ/5zE72GjoPR8uMH76+/4HvNhdYzJJRWzpYda48Dtjn2xXDFxoKIxoOHHWxUdAzjmlsIVFeph6+oszx5xc7rju2n5/jA0G/ck8tPLb7ouAqkJpj4jRZ4xojD92n3tK/aniUhcMRU6R+WdBIiIiIiUyNj8926CR/aWB6HOS82ESJgPk9qpPQ5oVBgDNAaDwWDug6CyCnPy8Gv9oRDFkMhfYO1gZ7L95eqBjhshlPDHAQudKZuIiIj+n3+3pYi7lgO/Wg6I3TrY3IdDCsqHTZ0TMx+uGowB4lB7DJAwDlQcW24REREREREREZGwWNwiIiIiIiIiIiJhsVuihZL+W/S5+RCFzt5WnlXCVKS/yrwiCMXOSpqZyNxHQURERHfDLkniEC0fNnVOzHy4ajAGiEPtMUDCOFBxFt4jWr2kL4Qp++qKRvoyWHp/fSIiIiKqOsyHmQ+Tuqk9BkgYByqO3RKJiIiIiIiIiEhYLG4REREREREREZGwWNwiIiIiIiIiIiJhsbhFRERERERERETCYnGLiIiIiIiIiIiExeIWEREREREREREJi8UtIiIiIiIiIiISFotbREREREREREQkLBa3iIiIiIiIiIhIWCxuERERERERERGRsFjcIiIiIiIiIiIiYbG4RUREREREREREwmJxi4iIiIiIiIiIhMXiFhERERERERERCYvFLSIiIiIiIiIiEhaLW0REREREREREJCwWt4iIiIiIiIiISFgsbhERERERERERkbB05j4AKp/BYIA+Nx+i0NnbQqPRmGx/BgOQVwSh2FkBJvwVEBERkYqJlgtKmA8yHyTTUnscYAwgY7C4ZaGkIPZr/aEQxZDIX2DtYGey/UlBrONGCCX8ccCe3ygiIiJSYS4oYT7IfJBMS+1xgDGAjMFuiUREREREREREJCwWt4iIiIiIiIiISFgsbhERERERERERkbBY3CIiIiIiIiIiImGxuEVEREREip9x7HJCFjbviUVuvl5elldQhGspueY+NCKqJnn5ehw8lVQSA3Lzi3DsbAoKC4vNfWhEZAIcx5+IiIiIFCe/oAgrtkTj1w2ROHQ6GUlpeaXeT0nPh1eXJfD3ckSb5p4Y/kQQerT3h5UV7/0SKcWFS9ex4Pez2Lo/Hqcj06DXG0reS72ejweeWQ0bay2aN3RDzw7+GPlUY/h7O5r1mImocljcIiIiIiLFyMnVY+qPx+UL2n8XtMoTezUbK7ZIjxjU9XPGa0NDMGZQExa5iAS29/hVfDT/KDbvibvnugWFxXIBXHp89sNx9O1cBx+PCUNIA9dqOVYiMg0WtxTEu20IeqyaXGpZYXYuMqISELliFyJ+3AhDkXKb3Wae3Inz73UptUxr5whb34Zw7zwMtXqPg8aKf/JERERKFX44ESM+2IXIK5mV2j46LhOvTt+HJRsj8fMnndC4bk2Ihvkg80E1y83T4/25h/Hl4lMw3GqkVWFFRQb8se0SNuy6go9eeRAThzeDTideoZtxgHFAjfg/qkBRq8IRu/0IoNHA3rMmGgx4GK0nD0eNID/snbgASufaaTBqhD0uDbCBwrREpOxchNiFbyAvNgIBY74z9+ERERFRFYyp9en3x/DBN0cqdUH7b/tPJiF0wGr8OLkDhvRqABExH2Q+qDbSuHo9XvkLEVHp970vqTXXO7MPYd3fl7FuTne417SDiBgHGAfURLwyNN1TysloRK0MR9SKXTg9fy029HoH2XHJaPhsV9i6u0DpHOo9CPfOQ+HeZRi8+09E4xn7YO3uj+QtP6DwepK5D4+IiIhMXNh6++tDeH+uaQpbt4/ZNfTtv/HDynMQEfNB5oNqEh2biQ7PrzdJYet2e49fQ+f/bERyBbo4WyLGAcYBNWFxSwX0uflIOnIBGq0WLgFeUBsrO0c4NmojV+zzEyPNfThERERkQl8uOoXpC09U2f5HTvkHa3ZcguiYDzIfVKq0jHx0H/UnriRmV8n+T11MQ8/Rf8mzLYqOcYBxQMlY3FIJ58AbwSs/PQtqdDN46ZzczH0oREREZCInzqfKrbaMcXBpX1zZMkj+WRFSa7AXP/oH11JyITrmg8wHlejVafuMGmfP2BggkQabn/LtMSgB4wDjgFJxzC0F0tnbwNbNuaRvdaPnHoV7s3pylV4aRFDpivNzoM9Ilrsp6NMSkbTpW+RGHYVDUGvY+TU09+ERERGRCRQWFmP4e7tQqDduUGRvDwf4ezkatY3UJWnMZ3vw+xddIQrmg8wH1WDdzstYvP5ilccAyfSfTuDJrgFo1dQTomAcYBxQE1UUt5KTkzFjxgysWrUKsbGx8PT0RP/+/fHZZ59h/PjxWLhwIebMmYOxY8dCCR6YNEh+3C5mwz7sf/sHqEHC0g/lx+1qtu2POqO+MdsxERERmVNxsQF/7Y7Ftv3xyMwphKO9Dh0e8JanvBdxJjDJz2vO4+jZlGr7vBVbYrDrUAI6tfSBCJgPMh/8t6spuVi87iJi4jPlmOBbywHPPl4f9fzFHHupqKhYnt20uki/s9c/349//tcbomAcYBxQE8UXt44dO4aePXsiMTERjo6OCA4ORnx8PGbPno3IyEikpqbK64WGhkIpzi3ejJh1e6G11sG1cR00HdMPjj7uKMovKFnn4fmvA1oN/h71Zckym5pO6LdzFg5NWSTPrCEqj8dGwrXdABiKCpF76SQSV01HQXIsNNa3ZjnJPB2Oi1N6ltnWoC+AobgIYX8UVfNRExERmZ50t/q7Fecw46cTiIot3W1n1uLT8KvlgFeHhGDC882g1Wog0r/rm2UR1f650meKUtxiPsh88KYriVmY9OVBrNwaU6alozTDaM8O/pj2ais0ayhWN62/9sQhOq7i3RFNYffRqzh+LgUtGrlDBIwDjANqIuatOiNabPXp00cubE2YMAEJCQk4cuSI/Hr69OnYsGEDDh48CI1Gg+bNm0MpMqISkRB+EnHbj+LUvDXY9vw0eITWR9vpo0rW2fv296jVqhHq9mtfsqzNZy/i2oGzQgcwia1PEFxCu6FGWE9495+EBu+uQ87Fg7g8/+WSdZxDOuKBZVmlHiHzzkPn7AHfZz826/ETERGZqgAktWp4+ePdZQpbN8Vdy8GkWQcx9O2dcisIUUgzmB0/d+MGZXVatS0GCUk5EAHzQeaDkrPR6WgzdB1+2xRVbhdeaUy5jeGxaP/8eoQfToRI5pmhwG3Oz60MxgHGATVRdHFL6nIodUOUuhvOnDkTzs7OJe9NmjQJLVq0gF6vR2BgIFxcxGyOWxFJh84hcsUuOWB5tmwkLytIz8KeCfPx0Kcvwt7LFQG92sC7XQj2vrUASuPUpB3cOg9D2j/LkBWxp9x1igvzETWtP5yCO8BnwDvVfoxERESm9sX/TmHOkjMVWnfpn1H471fGDcxuTn9sM8/shXq9ARt2XYGImA+qLx9Mz8hHz1f+Qvy1exdkM7ML0Xf8FkTFZkAEuXl6bNoda7b4I908EBHjgPrigJootrgVERGBZcuWwcPDA1OnTi13nbCwMPmnVOS6acWKFXjqqacQEBAABwcHNG7cGO+++y6yssSeTeL4rBUo1hfhgYkDS5bF7TiGmHV70GnueLSZ9pIc1PLTxP533onPwPcBrRXil3xQ7vuX572M4sI8BL76c7UfGxERkanl5Orx2Q/Gzew1e8lpJKWKMSPg4TPJqvzs+8V8UF354E9rLiAmvuL/l+mZBXJ3ZRFILTeLisxTYEpKy0Ps1WyIinFAXXFATRRb3Fq6dCmKi4sxZMgQODk5lbuOvb19meKW1MLLyspKHmz+zz//xCuvvIL58+ejR48e8v5ElRmTiOg1u+HbqTlqPdSkZPmhyYvgXNdbbqoau+0IlMrOpwHcOg5C5oltcr/q211bNxvXD61H/bdXQ2vrYLZjJCIiMpVlf0UhLePWmCoVUVBYjIWrz8PSSS0mjlTjQPL/djhC3OIW80H15IPS4Ofzlxvffe5/ay8gK6cQls7c30ORi9yMA+qJA2qj2OLW9u3b5Z9dunS54zpSl8V/F7fWrVuH5cuXy0Wxhx9+GK+++irmzp2L3bt3459//oHITny9EsVFpav0+tx8ZF26hrSIy1A67wHvAlptqSp95okdiF30FupN+h22XoFmPT4iIiJTWbOjct32Vm83T3c/Y6Rez8f1TOMKd6YUHSd2awbmg+rIByOi0nHhkvFdDKXuiTsOJMDS3WkcwerCOCA2tcQBtdEYRO0wfA+1a9eWi1dHjx4tdyZEaawtHx8fedB5adbEevXq3XFf58+fR6NGjbBkyRIMHjzY6GNp2bKlPIi9MawNWnxY3BrVocfKybiy5TBOf7u20vuYrD2AQo3pWrZpbOzh9dUFVKX8qzE4+2Yr+Az6ELV6jb3v/V19LQiGAjG6cxARkbIlOf8HBdYBRm+nK0qG1/U5sGRFGmckur55x/cPLu0Lb48733H39rCHzkoLfVExEpPvfN5OTM5Bq8FlcyONIR++aZ+hqlVnLihhPqisfDBfVwfJLi9UatuaWavgWHAclizdoRey7VpXaQy4WxxwydkK57yqH2xd7XGgOmKAqeOApcQAUXl7e+PQocqNAaqDQmVn3+gHnZtb/h+WNB6XVNiSBpmvW7fuXfe1Y8cO+WeTJreabRpDKmzFxcUZtY2NxgrwgjDiE+JRYDDdNKlSM9Cq/OcX5+cgcmo/1Gjd1ySJjCQ+Pl7eLxERkdkFZgHWxm+mL8gxOmepdlbOgOud35Yuav29HO+5G+nitiLr/ZuhWF8tvyPRckEJ80ELygftrYFKzpeVnnoN6dctPA74ZAB25okBkozrachIZhyo6jhQ1TGgKuKAxcQAFdIpueKXlpaGI0eOoG3btqXeS0hIwMSJE+XnzZs3h0ajueN+pOTl/fffl8fcKq8FWEWPpTJVegg0xJevj6/J79RVpbQ9K5EbfRx5cefl2TL+LWTuGdh41jFqn76+vqzSExGRRbiuS0dlOs3Ya1Ph5ucHS2aADvGGYkCjvWNLi7sxpuVWeayQD+9q+B2JlgtKmA9aTj5YrLFCoqEQBo0RVW6pQ49Gg1ouhbB2suw4kGGnxZ06JpoqBtxtXzWdbeBoyzhQ1XGgqmNAVcQBS4kBoqpM7UTx3RLHjx+POXPmyN0Tt27dioYNG8rLDx48iGHDhiEqKgqFhYUYM2aMPKZWeaQZEjt37iy3vJK2k7oxVpfCnDz8Wn8oRDEk8hdYO9zh9kkl5OqBjhshlPDHAXvFlouJiEgkFy5dR8M+K4zebs/i3mjbwvKbCTTrvwqnLqZVatsrWwbJrTWk2c5qd//N6O2f6haIFV92RVUTLReUMB+0rHzwhQ/DsfAP4yaJ6NzKBzt+fByWbt3Oy+g7fotZYoDk8G9P4MFgD1Q1tccBxgAyhmIHlJ80aRLc3d1x5coVhISEoFmzZggKCkLr1q3l8bUeeeSRMoPJ307qztinTx9ER0dj8+bN1VrYIiIiIrofQQE10LODv1HbhAV7oE3zWhCBdKxq/GwiY4wZaPyQKmMHVW4YluoWFuxuts+2sdaiadBd+kYTkVkotrjl7++P8PBw9OrVC3Z2doiJiYGbmxsWLFiADRs2yIPE36m4JbXoevrpp+WBzP78808EBweb4V9AREREVHk/Tu6IAF+nCq3r4WqH32Z0uetQDZakU1jluy3cr44PWn7LNiKJ1LLoizcrPhj5mEFN0L+bGLPE+dZyRP3azmb57IeaecLG2sosn01EKixu3RwAfv369cjMzJQf+/fvx8iRI+XB5qVil1arRdOmTUttU1xcjCFDhmDbtm1Ys2aN3NKLiIiISDQ+ng745+feCG3sdtf1GtRxwT8/95J/iuKZx+rCxakSI+bfp+D6NdH+ARa3SBxvPNcMc99pC2vdnS/7pJr2W/9pjtn/bStMgVsy8qnGZvncUQPM87lEpOLi1p2cPn0a0lBjUjdFB4fS08RKY3D9/vvveP311+X39u3bV/JISkoy2zETERERGcvf2xGHf+uHP+c9hj4P14GD3a2BQGyttVg1qysiVj+FRnVrQiRODtZ4vm9QtX/u6IFNhLr4J5KMGRSMy5sH4pOxYajrd6u1k1arwaQRzXBxwwBMe62V/Fok/3myIWxtqrcFldTK9enudav1M4moYlRZ3Dp58uQduyRK3RAl06ZNk2dZvP0hdWckIiIiEol0wdqjgz/WzumO7APPw9fTvuQi7cmugdDdpUWHJXttaAjs7arvwtavlgOe69Og2j6PyJS8PRzw7shQRP35TEkM8PGwx/TXW6OevzitNm8nxbBRTzeq1s+c+Hyzai+oEVHFiJnNVGFxS+quKLXqKu8xfPhwMxwtERERkekopeWRdEE+dXzLavu87z/sAGdHm2r7PKKqopQYIPl0fMtSrdGqUqumHnjjudJD2hCR5VDlJJV3K26JzDU4AO1mvgxrJ3tkxyZh17g5cG1YG91+fQcZkfHYPOhj5KVk4MG3n0XA4w+hKL8QxfoiHJm2BPE7j8v7CB7ZG42HPwZ9dh7Wdp8IS5cTfRyXvnkJxbmZsPEMQODri5F3+TQuTOkJO79GCPpoM6xr1kLy1oW4unYW8q5EwH/ETHj1fa1kH3GL30Ha3lXQWttCY2UN36GfosaDj8nvXV0zC0kbv4HW3gnBXx0z47+UiIiI/m3csyFYuTUG4UeuVnibxOScUj8r2v2pZ8faUGr+1+SFx9FwaDdAvqELnJq3GlErw+X3Avu2Q+iEAXDwcsOSxs9D1FwwbvG7SD+4FhrtjVY33v3/C7dOg+TnzAXFJXVRXjilIx55caP8t1tVMUBqrfXTlE4W29K1onHgphpBfujz1wyc/2ULDnzws2riQMzXw5FxbAt0NTzl7VxadIf/iM/l54wD4lNlcWv79u1Qog5fjcXu179B6ukYNBj0CFp98Bwu/rZDDmi3F6qu7o/A8VkrUJRXIAfCnn9MwfLQkdDn5uPMd+uRejIaraeI0UpNClCB43+CQ71QuYAV+9Ob8Og6Qg5itwceh/phqDdxORJXTC2zD6fgjvB55n1obe3lwHjunU5o/lM8rOwc4fXE63Co9wCu/HirGEZERESW0+VyxRdd0XH4Bpy/dL1C27QavNaoz+jcygdz324LJed/6eeuYGPf91CYmQMHX3f03fI5kg6dR+alq4hZuwfJRy6g79aZEDkX9HpyIvyGfSo/L0iJw+kxTeAS2g06Fw/mgoKTvqPfvNMOoz/dUyUxwMpKg6XTOyOkgStEjwMSjc4K7T5/GZf+PFBquRriwM1YcHtDh5sYB8RnmaVnMppb07rQ5+TJAU0SuXwnaj/aElqbsvXLuO1H5cRGkhZxWZ4ixc5dvL72OVFHYWXvJAcxiXuX53H9wFoY9Df+bbdzqNsC9rWbQKMt+ydfI6ynHMQk9gHN5LsV+uucPICIiEgEtdztsePHnvJMhqbW9SFfrJvTHfa3DcSvxPwv4Z+T8gWtJCc+BbnX0uHo6wEl5YI6p1t/H8W5WTdapxQXy6+ZC4rvlYFN8M07pi9CS7NM/ja9izw+oaUyJg5IQt8YgJh1e5EZlVBquRriwN0wDojPMs/UZDSnOrXg2riOXGG/SWdvCwfvu0//HTSoC7IuXUVWrHhf3Pyr0ci9dBJnXrsRyCTF+Tny3bjKStn2E2y968GmVoCJjpKIiIiqmm8tR/zzv94YN3Uvft0QaZIWYW8+3xRTxoRZ9ODRVZH/+XRsBpsajkg+dhFKywWvrZuNaxu/QWFKLALG/iB3U/o35oLiGj0oGIF+znhp8j+Iv1bxLod3EhTggp8/7oR2oV6wZMbEAY8HguAZ1hCbB05B6IRn7rhPZceBr5GydSFsPOvAd8gnJUWx2zEOiInFLQVJOnoBWwZ/UvJ60Kkf77q+T4dmaDFhADYP/Biicgx6CEGT/yp5fXzYjf7TlZFxfBvif5uMhpO3KGqgTSIiIjVwdbHFL1M7Y8CjdfHKJ3uQkFS5i9sm9Wpi4eSOaNOibOFD6flfzcZ10GHWGPz98iy5u6LScsFafcbLD6nLUfSsoXAJfRQ6F/eS95kLiu/xjrVxalV/vD5jP/639kKl9iF1Qxz/bDA+GdsSDvY6xcQBK3sbtJn2Ina++MVd96XkOCCNo2Xt6iP35knb+4c8JlfT+Rfkll83MQ6IS4xvK92TdPfN0e9Ws1FpMEGdgx1yElPLXd+rbTDafzUa256bJvfFFpGtVz0UJF8ueV2Uk4GivGzYuPsZva/MU38jZvYINHhvHez8q3dKYSIiIjKdJ7oEoEd7f6zcEoN5yyOw++i9B5uXrl+ki+IxA5vgsfb+csstteV/NRr6o9vit/HPG/Nw7cBZKDkXlIarsHHzQ+apnXBt95S8jLmgsgrdP3/SCe++1ALf/n4WP60+j7SMe3dR8/awx8inGuOlpxrB39sRoqhoHHAO8IaTnwd6rPxIfm3j4ghoNbCp4YR/Xp2rijhw+zLXtk8ibtF/kRd3Do4NwuRljANiY3FLIaQ+1sWFRfDp1BwJu07IMx5Gr9mN4gJ9mXW92jRBxznjsH34DKSduQRRSU1IpZkspBkvXEK7I2njPLh1GAiNzrhpujNP70L0rGFo8O4aOdkhIiIisUldCZ/tVV9+xMRl4tDpZByOSMaZyHTk5Onl4pWTvTWaBbmiZYgHWjX1hJf7jbFW1Jj/STOndf/lHeyZ+K28HyXmgrmXz8C+TrD8PD8hUh6nx672jdfMBZUpKKAGvnjzIXw6LgxHz6bg8JkUORZcS81FQWExbG208KvliLBgD4QFu6NFQ3dYW2sVGwfSz17Gb01fKHktdUu0qeFQMluiGuJAQXIsbDz85edZ5/ZBn5kCO58G8mvGAfGxuKUgu8Z8jQ5fjYHNtJeQGZOIXWNnw7VRnTLrtf9iNKxsrNFh1uhb246bIwc80dR941e5un55/iuw9WmAum/8gtxLp8qsl7ztZ8T/+h6KstKQvn81rq6eKVfkpVkvLs15AYbCfHk/Jft9bTHsA5tV87+GiIiITE0ag0d6PP1oXSiRKfK/hz7+D6ydHdDy3aGA9ABw6NNfEL/zOJSSC8b9b5I8No9GZw2NVoc6o+bKkw1JmAsqm52tDm1beMkPpapoHLgbNcQBaVbFwutXodFaQWtjj/qTfoeVYw35PcYB8bG4pSBScrK+x1v3XG9V+3FQCinYNPny0D3X8+g6XH6Up+m3leuPT0RERKSE/G/zoI8Vnws2eH/9Hd9jLkhqiQO3O/bFctXFgYYfb73je4wD4hOv3SUZpahQD1tXZ3n2jJvTPd9N8Mje8kCDeamZEJXUBFWfkSLPmFGYfu2+9nV1zSxc/nY0dM6WPw0uERERUWXyv7sJ7NsOXRf9F7lJ6RAFc0EixgHGAfXRGAwGg7kPgsoqzMnDr/VvNAcVwZDIX2DtYGey/eXqgY4bIZTwxwFBJlQhIiIV8++2FHHXcuBXywGxWweb+3BIIbmghPmgGPkgY4A41B4HGAPIGGy5RUREREREREREwmJxi4iIiIiIiIiIhMVuiRZK+m/R5+ZDFDp7W2g0GpPtT/qrzCuCUOysABP+CoiIiKoEuySJQbRcUMJ8UIx8kDFAHGqPA4wBZAz2BrVQUkAw5ZgFopECAvsqExERkVqpPReUMB8ktVN7HGAMIGOwWyIREREREREREQmLxS0iIiIiIiIiIhIWi1tERERERERERCQsFreIiIiIiIiIiEhYLG4REREREREREZGwWNwiIiIiIiIiIiJhsbhFRERERERERETCYnGLiIiIiIiIiIiExeIWEREREREREREJi8UtIiIiIiIiIiISFotbREREREREREQkLBa3iIiIiIiIiIhIWCxuERERERERERGRsFjcIiIiIiIiIiIiYbG4RUREREREREREwmJxi4iIiIiIiIiIhMXiFhERERERERERCUtn7gOg8hkMBuhz8yEKnb0tNBqNyfZnMAB5RRCKnRVgwl8BERGRqomWC5k6H2IuRCReHOA1EeMAmQ+LWxZKCuK/1h8KUQyJ/AXWDnYm258UxDtuhFDCHwfs+Y0iIiJSZS5k6nyIuRCReHGA10SMA2Q+7JZIRERERERERETCYnGLiIiIiIiIiIiExeIWEREREREREREJi8UtIiIiIiIiIiISFotbREREREREREQkLM5jQERERKRQkVcysHlPHA6fScahM8mIu5aDlPQ8+b2rKbl4/t2/ERbsgW5tfBFc39Xch0tEJlZYWIwt++Kw78Q1OQ6cvJCG+KQc+b2E5Fx0e+lPtAzxQKsQD/TsUBsOnOaOiATF6EVERESkIMXFBqz/+zLmLYvAX3vi7rievsiAResuyg9JpzBvjB7YBP27BsLamo37iUQWfy0b3604h+9WnkPC/xezyosV2/bHyw9JTWcbjOgXhFeeaYKggBrVfMRERPeHxS0F8W4bgh6rJpdaVpidi4yoBESu2IWIHzfCUFQMpco8uRPn3+tSapnWzhG2vg3h3nkYavUeB40V/+SJiEi5Ll7OwIj3d+Gfo1eN3nbX4UT5EdrYDT9/3AktGrlDRMyHmA+pmVSwmr88Am/NOojsXL1R26ZnFmDW4tOYveQM3nmxBd4bGQobayuIhjGAMYDUiX/VChS1Khyx248AGg3sPWuiwYCH0XrycNQI8sPeiQugdK6dBqNG2OOAwYDCtESk7FyE2IVvIC82AgFjvjP34REREVWJeb+dwZtfHkBuXtF97efY2VS0HLwGH738IN55qQU0Gg1ExHyI+ZDaxF3NxtB3/sbOgwn3tZ+iIgM+XnAMq7dfwtLpXRDSQMwuy4wBjAGkLmxzrkApJ6MRtTIcUSt24fT8tdjQ6x1kxyWj4bNdYevuAqVzqPcg3DsPhXuXYfDuPxGNZ+yDtbs/krf8gMLrSeY+PCIiIpMyGAx4++uDGPPZ3vsubN2k1xvw3tzDGDn5H7kliIiYDzEfUtv4eh2eX3/fha3bSeNzdRy+HgdOivn3whjAGEDqwuKWCuhz85F05AI0Wi1cArygNlZ2jnBs1Ea+a5GfGGnuwyEiIjKpKd8exbQfT1TJvn9YdR5jP9sjF9BEx3yI+ZCSW2x1felPxMRnmXzfaRkFeOzlTThxPhWiYwxgDCBlY3FLJZwDbwTw/HTTn/REcDOA65zczH0oREREJvNn+BV8NP9olX7G/OVnsfj/B50XHfMh5kNKI7WsfPa/O3GpCgpbt4/F9dQb25Bj5BhelogxgDGAlItjbimQzt4Gtm7OJf3LGz33KNyb1ZPvVEgDKSpdcX4O9BnJ8l1mfVoikjZ9i9yoo3AIag07v4bmPjwiIiKTSM/Ix0uT/zF6u4NL+8LbwwGJyTloNXhthbZ5dfo+dGvjC99ajhAF8yHmQ2rwzW9n5IkgqjoGSJNVvDf3EL6c2AaiYAxgDCB1UUVxKzk5GTNmzMCqVasQGxsLT09P9O/fH5999hnGjx+PhQsXYs6cORg7diyU4IFJg+TH7WI27MP+t3+AGiQs/VB+3K5m2/6oM+obsx0TERGZX+r1fFyKz0Sh3oBabnYI9HOGyN6ZfQhx13KM3k66qPX3cjS65ca4qfuwclZXiIL5EPOhf5Mu8i9cypBjgYO9DvX8neHkYA1RxSZm479fHaqWGCD56pfTePbx+mgZ4gkRMAYwBpC6KL64dezYMfTs2ROJiYlwdHREcHAw4uPjMXv2bERGRiI19Ub/8dDQUCjFucWbEbNuL7TWOrg2roOmY/rB0ccdRfkFJes8PP91QKvB36O+LFlmU9MJ/XbOwqEpi+TZRUTl8dhIuLYbAENRIXIvnUTiqukoSI6FxtquZJ3M0+G4OKVnmW0N+gIYiosQ9odpBuQlIiLz2330KuYti8Dvm6NRqL81/ftDzTwxemATPPNYXdjZipUSpaTn4ac1F6r1M//YHoOo2AzU8xdjIGbmQ8yHbrqeWYD/rb2A+csjcDb6eslyJwcdnusTJMcBEWcEXLDiLHLyqq+roDT0nlTg+mVqZ4iAMYAxgNRFq/QWW3369JELWxMmTEBCQgKOHDkiv54+fTo2bNiAgwcPylNcN2/eHEqREZWIhPCTiNt+FKfmrcG256fBI7Q+2k4fVbLO3re/R61WjVC3X/uSZW0+exHXDpwVOohLbH2C4BLaDTXCesK7/yQ0eHcdci4exOX5L5es4xzSEQ8syyr1CJl3HjpnD/g++7FZj5+IiEw3Fs2kLw/IM4gt2RhZqrAl2X8yCc+/twudRmzAtZRciOTnNReQl1+9Fx3She2C389CFMyHmA9JzkanI3TAH3LX2tsLW5KsHL1c+G7+9B+YvywCIikoLML3K89V++dKNwlEiZeMAYwBpC6KLm5JXQ6lbohSd8OZM2fC2flW94NJkyahRYsW0Ov1CAwMhIuLGHchKyPp0DlErtglB23Plo3kZQXpWdgzYT4e+vRF2Hu5IqBXG3i3C8HetxZAaZyatINb52FI+2cZsiL2lLtOcWE+oqb1h1NwB/gMeKfaj5GIiKqm297nP5+853oHTyXjsVc2ITP71t18S/fT6vNm+twLws6cyHxIffnQ5YQsPPLivWcRlArhoz/dg4V/mOd7VRmb/onFVTMUmQoKi+WbBSJiDFBfDCB1UWxxKyIiAsuWLYOHhwemTp1a7jphYWHyT6nIdVN4eDi6desGHx8f2Nrawt/fHwMHDpT3J7Ljs1agWF+EByYOLFkWt+MYYtbtQae549Fm2ktyYM9PU+bMIT4D3we0Vohf8kG571+e9zKKC/MQ+OrP1X5sRERkesfOpmD6whNGrJ+KGT/duxBmCTKyCnA6Mt0sn52UlofouEyIivmQuvKhCTP3IyGp4uPSjflsj9zlVwT7TiSZ77NPXoOoGAPUFQNIXRRb3Fq6dCmKi4sxZMgQODk5lbuOvb19meJWWloamjVrJo/JtXnzZrn74unTp9G2bVu5FZioMmMSEb1mN3w7NUeth5qULD80eRGc63rLzXVjtx2BUtn5NIBbx0HIPLFN7lt+u2vrZuP6ofWo//ZqaG0dzHaMRERkOlJXI2NJXXykrj6W7ujZFLN+/uEz5v38+8F8SD35UPy1bKzefsmobaSuvlKXXxEcjkg232czBghLTTGA1Eexxa3t27fLP7t06XLHdW4Wq24vbvXt2xezZs3CgAED8PDDD8vFMWmWxevXr2PlypUQ2YmvV6K4qPSdCn1uPrIuXUNaxGUonfeAdwGtttSdiswTOxC76C3Um/Q7bL0CzXp8RERkGrl5evy6wfhuM1IXnw27rsDSnbyQZtbPP3H+xmQ8omI+pI58aPH6i9AXGd+F9odV1T+OlWhx4OLlDOTkVt9A9qbGGKCOGEDqozGIOnDCPdSuXVsuXh09erTcmRClsbakrofSoPPSrIn16tW7475SUlLk7o1z587FmDFjjD6Wli1byoPYG8PaoMWHxa1RHXqsnIwrWw7j9LdrK72PydoDKNSUHqj3fmhs7OH1VdXeOcu/GoOzb7aCz6APUavX2Pve39XXgmAoEGOATSIiJdNra+BqzTcqta1LziY45+2FJcu064gMh27lvndwaV94e9z9jru3hz10Vlroi4qRmHzn81Zicg5aDS6bGzjm7UXNnE2oatWZC1liPlQduZCp8yFLyoXSHPogx66l8RsaCuGX9gksXbzrOzBobCsVB+43Bsj7SJsOK0PFu3xWFq+JeE1E6uLt7Y1Dhw5Valux5r02QnZ2tvwzN7f8L5Y0HpdU2JIGma9bt26Z94uKiuRujZcuXcLbb78t/5KfeeaZSh2LVNiKi4szahsbjRXgBWHEJ8SjwGC6rhxSU9iq/OcX5+cgcmo/1Gjd1yRBXBIfHy/vl4iIzMw6H6hZuU0zrmciI9m4c3a188wE7nDdKl3Q+ns5Vmg30sVtRde9XXZWDrITqv53JFouZOp8qKpzoarIhywqF/LLBewqs6HG6LzdLKQYp7m/OFDZGCBJTLwK6DNQ1USLA7wmsrA4QKqi2OKWVIySxs86cuSIPF7W7RISEjBx4kT5efPmzaHRlD0zSF0Sd+/eLT9v0KCB3M3R09Oz0sdSmbsUMF3Rv8r5+via/C5FVUrbsxK50ceRF3denjHk30LmnoGNZx2j9unr68u7FEREFqAYNkgwFAMa40dfcHXWwsHWD5Ysy9Ye1+/S0uJejGm1UR4nRxvU8Kv635FouZCp86GqzoWqIh+ypFwow74YlZn6wKo4C97V8Pd9vxKgRzFsKxUH7jcGSHy83KHFrZnoq4pocYDXRJYVB0g8lamdKL5b4vjx4zFnzhy5e+LWrVvRsGFDefnBgwcxbNgwREVFobCwUO5mKHU3/Ldz584hPT0d0dHR+Pzzz3Ht2jW52FWnjnFf7soqzMnDr/WHQhRDIn+BtUOlbo+VS+rG33EjhBL+OGCv2HIxEZFYnnp9G1ZtizFqGycHHeK2DoaLkw0s2aZ/YtFz9F+V3v7KlkFya43Yq9mo3f03o7f/3yed8FzfIFQ10XIhU+dDzIXuz9nodDR5wvjxct9+oQU+e7US3RmrWafh6xF+5KpZYoBfLQfEbh2M6iBaHOA1kWXFAVIXxQ4oP2nSJLi7u+PKlSsICQmRZ0AMCgpC69at5fG1HnnkkTKDyd+uUaNGeOihhzBo0CBs27YNmZmZmDFjRjX/K4iIiKgyRg+8NQtWRQ3r3cDiC1uSsGB3M3++h1k/n6giGtetiUda+xi1jVarwagBjSACc34PGQOIyBIptrjl7++P8PBw9OrVC3Z2doiJiYGbmxsWLFiADRs24Pz583ctbt2uZs2actfEixcvVsORExER0f165CEf9O9a8RmffGs54J0Xy05AY4k83ewR4Otkls92crBG47o1zPLZRMaa8UZrONhVvAnJpBHNEOBb9V3tTKFViKf5Prspi1tEZHkUW9ySNGnSBOvXr5dbXUmP/fv3Y+TIkfJg81KxS6vVomnTpvfcj9QlUeqmWL9+/Wo5biIiIro/0niav0x9GL071a5QF5u/5j8Gf+/KDaxsDkMeN09OMqhHXVhZKTp9JAWRWhitmd1N7nJckdaen46z/O6IN/V+uLZcbDaHwT15TURElkeV2cnp06chDTUmdVN0cCg93dDQoUPx0UcfYfXq1di5cye+//57dO7cGTqdDq+//rrZjpmIiIiMY2+nwx9fdcP899qhWZBrmffdathi4vBmOLCkL5oGuUEkI59uhHLmw6lyrzxjfHdPInPq1sYPB5c+gZeealRuK66OD3ph+cxHMPedtnK3RFFIXaiH9a7+IlOP9v6oX9ul2j+XiOheVFncOnny5B27JLZp0wYbN27EiBEj0LNnT3kw+Y4dO+LYsWNy10QiIiISh06nxcvPNMHxFU9i7+I+cHW+MaaWWw0bxG4ZJHdb8q0lToutm6SuU/0eCajWz2wXWgsPcqwdEnT8re8+7IC4rYOw4otHUPP/40AtNzvs+rk3Bjxat9zZ0y3dmEHB1V6QG/dscLV+HhFRRbG49S9jx47FgQMHkJaWhtzcXHlsLmmcroCA6k0giYiIyHSkC9c2LWrB4f+ncLK31cktu0Q2a+JDcHasnm5J1jotvn2vfbV8FlFVqelii6e614Xj/8cB6e9aZCENXPHGsHsPsWIqT3ULRM8O/tX2eURExhA7q6uC4pbIXIMD0G7my7B2skd2bBJ2jZsD14a10e3Xd5ARGY/Ngz5GXkoGHvjvYNR5tCUMRcXydifnrkb0mt3y85bvD0PgE+2QejIa20dY/uyQOdHHcembl1CcmwkbzwAEvr4YeZdP48KUnrDza4SgjzbDumYtJG9diKtrZyHvSgT8R8yEV9/XSvYRt/hdpB9cC43WSn7t3f+/cOs0SH4e+9NEpP6zDA71H0SDd1ab7d9JRERUXuutmRNaY9SUG+fwikpMzin1syI+eDkUzRq6CZ3/PPj2swh4/CEU5ReiWF+EI9OWIH7ncXkfjYf3QKPnusu5kUZnhfO/bEXEjxvl94JH9kbj4Y9Bn52Htd0nQtRc6G75DnMhcU0Z8yDW/X0Z52KuV2kMcK9pi2/ebWeRLdwqGgNuqhHkhz5/zcD5X7bgwAc/Cx8DjIkDMV8PR8axLdDVuDEhgUuL7vAf8bn8nHGARKfK4tb27duhRB2+Govdr3+D1NMxaDDoEbT64Dlc/G2HHNRvD8Sn563B0WlL5ecO3m7ot+srxIefQH5qJg59vBjp566gTs/WEIEUoAPH/wSHeqFyASv2pzfh0XWEHMSDvzpWsp5D/TDUm7gciSumltmH15MT4TfsU/l5QUocTo9pApfQbtC5eMjB3q5OCNL3M4gTEZHlkcYR2nEgAb9tiqrwNq0GrzXqM7q39cVbI1oIn/9c3R+B47NWoCivQL4Y7vnHFCwPHQl9bj4iV+7C2Z83yetJF8hP7PxSXj/1VDTOfLdevunXespwiJwL3S3fYS4kLqkF6tLpnfHwfzYiM7uwSmKATqfB4k8fhpe7PUSOARKpcNXu85dx6c8DpZaLHAOMiQMS6ft++43+25czDpDIxG6LSyXcmtaFPidPDuqSyOU7UfvRltDalK1fFmTcukujc7ST78BY4l2Ye8mJOgoreyc5iEvcuzyP6wfWwqAvKLOuQ90WsK/dBBpt2T95nVPNkufFuVmAwQBD8Y1WbURERJZMOn//79NOVTb+1sMtvfHHrG6wttYKn//EbT8qF7YkaRGXpV8e7NxvDIxdmHlbbuRgC61Op7hc6G75DnMhsT3QxAMb5j5aJbMnSoWtX6d2Rs+O95551tJjgCT0jQGIWbcXmVEJpZaLGgOMjQN3wzhAohPnW0t35VSnFlwb10HfLTealUp09rZyy6zyNHnhcbl5rYOvO/ZMmF+qqa4o8q9GI/fSSZx57UYglxTn58h3Gox1bd1sXNv4DQpTYhEw9ge52S4REZEIbKytsPzzRzB+2l58+/tZk+33mcfq4uePO1n02GTG5j83BQ3qgqxLV5EVm1SyLKBXG4ROHAiXQG8cmbpEbrGhtFzobvkOcyGxdQzzxvYfeuLpCdtwOSHbJPuUZpRd9Gkn9OpUB0qIAR4PBMEzrCE2D5yC0AnPlHlfxBhQuTjwNVK2LoSNZx34DvmkpCh24z3GARKX5WYrZLSkoxewZfAnJa8HnfrxjutKfcilh9Qsv9Pc8Yj/+zjy07IgGseghxA0+a+S18eH3eg/bqxafcbLD6m/evSsoXAJfRQ6F3cTHikREVHVkVpWzX+/PZ7oEoCXJv+D2KuVv7j1cLXDvHfbyTPIKS3/kfh0aIYWEwZg88CPSy2/tGGf/HDy90SXhZNwZethuVuTknKhu+U7zIXE16qpJ06t6o+JXx7EgvssdEutQee/1w7eHg5QQgywsrdBm2kvYueLX9xxP6LGAGPigO/QT2Ht6iP3Zknb+4c8JlfT+Rfkll8SxgESmWW2MSejSXcfHf1uTc8t9RXXOdghJzH1rtulnbkkr+PdLgSisfWqh4LkyyWvi3IyUJSXDRt3v0rvU+q+aOPmh8xTO010lERERNWnRwd/+eL203FhqO3taNS20ng6740MxelV/YUpbBmb/3i1DUb7r0Zj23PT7njRKrXmSj56AbW7hUGpudDd8h3mQmJzdrTBt++3R/jPvdC/ayCsrDRGj7G3dnZ3rJrVVYjCVkVjgHOAN5z8PNBj5Ud4+sA8BL/USx6fq8PXY4WOAcbGAWnZzWFaXNs+CSt7F+TFnSuzHuMAiYgttxRC6mdeXFgEn07NkbDrhNzlUJoBsbhAX2bdGg39cf18rPzcOcBL7que/v+vRSI1odVYWcszfriEdkfSxnlw6zAQGp2NUfvJvXwG9nWC5ef5CZFyv3W72jdeExERiaaGsw3eeSkUk0Y0x8bwK9i0OxaHz6Tg+PlU5BcUlaxnrdOiWZArHmzijm5t/PBk1wC5i6NS8x+vNk3Qcc44bB8+Q765d6fcyNbdBd7tmyJmwz4oKRe6W77DXEh5OjzoLT9iE7Px68aL2H8yCYfPJJfpsigVtcOC3dEqxBODe9ZDo7q3xl1SUgxIP3sZvzV9oeS11C3RpoZDyWyJosYAY+NAQXIsbDz85edZ5/ZBn5kCO58G8mvGARIdi1sKsmvM1+jw1RjYTHsJmTGJ2DV2Nlwble0j3/K9YXL/dEOhHsVFxdj3zo+4fsH4caosQd03fkXM7BG4PP8V2Po0QN03fkHupVNl1kve9jPif30PRVlp8iwfV1fPRIP31sGh3gOI+98kua+6RmcNjVaHOqPmyoPPExERiUyn06JvlwD5ISksLEZqRr5c4LKx1sLVxRa2NmIVs+4n/2n/xWhY2Vijw6zRt7YdN0e+6A1+8XF4PdTkxgWxRoMz32+QL5SVlAvdLd9hLqRc/t6OeOs/t2Y7vZ5ZgKycQmmscDg66FDT2UbIiaUqEwPuRuQYYEwckGZVLLx+FRqtFbQ29qg/6XdYOdaQ32McINGxuKUgUnK2vsdb91xv23NToRT2gc3Q5MtD91zPo+tw+VGeBu+vr4IjIyIisrxxuaRWGmrNf1a1H3fH9/ZO+g5Kz4Xulu8wF1JXy07pocYYcLtjXyxXTAwwJg40/HjrHd9jHCDRccwthSsq1MPW1VmeQeTmdNd30/L9YWg27knkp4s3uPxNUhNcfUaKPGNIYfq1+9pX7E8TkbhiKnSOriY7PiIiIrKs/Odugkf2lgeizkvNhCiYC5HaqT0GSBgHSG00BoPUKJUsTWFOHn6tPxSiGBL5C6wd7Ey2v1w90HEjhBL+OGDPtpBERBbNv9tSxF3LgV8tB8RuHWzuwyEF5UKmzoeYC1UdxgFxiBYHeE0kThwg5WHLLSIiIiIiIiIiEhaLW0REREREREREJCx2S7RQ0n+LPjcfotDZ25p0phXprzLv1mzlQrCzkidXISIiC8buSOIQLRcydT7EXKjqMA6IQ7Q4wGsiceIAKQ97w1ooKSiasr+2aKSAyL7aRERE6sVciLkQEeMA4wBRRbFbIhERERERERERCYvFLSIiIiIiIiIiEhaLW0REREREREREJCwWt4iIiIiIiIiISFgsbhERERERERERkbBY3CIiIiIiIiIiImGxuEVERERERERERMJicYuIiIiIiIiIiITF4hYREREREREREQmLxS0iIiIiIiIiIhIWi1tERERERERERCQsFreIiIiIiIiIiEhYLG4REREREREREZGwWNwiIiIiIiIiIiJhsbhFRERERERERETCYnGLiIiIiIiIiIiExeIWEREREREREREJi8UtIiIiIiIiIiISls7cB0DlMxgM0OfmQxQ6e1toNBqT7c9gAPKKIBQ7K8CEvwIiIlI55gLMBUjdRIsBErXHAcYAIvNhcctCSSeyX+sPhSiGRP4Cawc7k+1POol13AihhD8O2PMbRUREJsJcgLkAqZtoMUCi9jjAGEBkPuyWSEREREREREREwmJxi4iIiIiIiIiIhMXiFhERERERERERCYvFLSIiIiIiIiIiEhaHuyMiIiJFzzYWdzUHhyOScfxcKq5nFsjLr2cV4Oc159Ey2AON69aETsf7fURKlV9QhJMXUnH4TAqi4zKR/v9xIDO7EH/tjkVYsAc8XE03CDoREVU/FreIiIhIcRKScvD9ynP48Y9zuJyQXeb9rBw9RrwfLj93sNPh6e6BGD2wCVo38zTpNPZEZB7FxQZs2RuHecsi8Oc/sSjUF5dZJyO7ED1e+Ut+Hly/JkY93RjP9WmAmi62ZjhiIiK6HyxuERERkWKkXs/Hm1/sx+L1F6HXGyq0TU6eHovWXZQfLUM8MO/ddmjV1LPKj5WIqsaGXZfx2oz9uHg5o8LbnIlMx6vT9+Htrw9h3LPB+OiVB2Bny0slIiJRMGIriHfbEPRYNbnUssLsXGREJSByxS5E/LgRhqKyd62UIvPkTpx/r0upZVo7R9j6NoR752Go1XscNFb8kyciUqo1Oy5h1JTduJqSW+l9HDqdjLbD1mHS8Ob48JUHYGtjBZGoPReQMB9Qr7SMfLw2fZ9cqK4sqdg9feEJOZ78NKUT2rSoBdGoPQ4wBhCpE7/VChS1Khyx248AGg3sPWuiwYCH0XrycNQI8sPeiQugdK6dBqNG2OPSQCsoTEtEys5FiF34BvJiIxAw5jtzHx4REVXBuFofzjuCjxccM8n+iooMmPrjcfx9OAEb5j4qZBcltecCEuYD6hITl4luI/9E5JVMk+zvbPR1tH9+PRZO7ojnnwiCiNQeBxgDiNSFo6cqUMrJaEStDEfUil04PX8tNvR6B9lxyWj4bFfYurtA6RzqPQj3zkPh3mUYvPtPROMZ+2Dt7o/kLT+g8HqSuQ+PiIhM7N3Zh01W2LrdnmPX0G3kJmRk3Rh8WiRqzwUkzAfU41J8JjqN2GCywtbt43YNf38Xflp9HiJSexxgDCBSFxa3VECfm4+kIxeg0WrhEuAFtbGyc4RjozbyXZv8xEhzHw4REZnQ9yvOyq2sqsrhM8l45s3tcuswkak9F5AwH1CmnFw9eo7ejCuJZSeOMJUXP/oH2/fHQ3RqjwOMAUTKxuKWSjgH3jiB5adnQY1unsB0Tm7mPhQiIjJhN6TXP99v1DYHl/bFlS2D5J8V9deeOHnmRdGpPReQMB9Qnve/OYyIqPQqjQNSC67/fBiOzGzxWnH+m9rjAGMAkXJxzC0F0tnbwNbNuaR/faPnHoV7s3rynRppIEmlK87PgT4jWb7Lrk9LRNKmb5EbdRQOQa1h59fQ3IdHREQmIMX4Fz4MR3au3qjtvD0c4O/laPTnTZh5AI+180OArzNEoPZcQMJ8QPn2HLuKWYtPGb1dZeLApfgsTPryIOa/3x6iUHscYAwgUhfFF7eSk5MxY8YMrFq1CrGxsfD09ET//v3x2WefYfz48Vi4cCHmzJmDsWPHQikemDRIftwuZsM+7H/7B6hBwtIP5cftarbtjzqjvjHbMRERmdP1zAIsXn8Rv2+ORnJ6HmystWhStyZeHtAYHcO8odFoIJodBxKw/UD1XZxl5RRixk8n8c277SACtecCEuYDpR08lYT5yyNw/FwqcvOL4Opigyc6B+A/TzaEh6sdRPTBN0ekHmbV5ruV5/DfF5oLU+RWexxgDCBSF0UXt44dO4aePXsiMTERjo6OCA4ORnx8PGbPno3IyEikpqbK64WGhkJJzi3ejJh1e6G11sG1cR00HdMPjj7uKMq/1ZT64fmvA1oN/h71Zckym5pO6LdzFg5NWSTPriIqj8dGwrXdABiKCpF76SQSV01HQXIsNNa3ErfM0+G4OKVnmW0N+gIYiosQ9kdRNR81EZHpSXerp/14Ap9+f6xMC6djZ1Ox9M8oNAtyxZJpndE0SKwuGvOWRVT7Zy5adxHTXmsJZ0cbWDq15wIS5gM3RMdm4tn/7sC+E0nlTprwwbwjGP9sMKa+2hJWVuKMWHI2Oh3bqnkcLKl74ncrzuHT8S0hArXHAcYAInUR5wxWiRZbffr0kQtbEyZMQEJCAo4cOSK/nj59OjZs2ICDBw/Kd6ubN28OJcmISkRC+EnEbT+KU/PWYNvz0+ARWh9tp48qWWfv29+jVqtGqNvvVtPqNp+9iGsHzgp9EpPY+gTBJbQbaoT1hHf/SWjw7jrkXDyIy/NfLlnHOaQjHliWVeoRMu88dM4e8H32Y7MePxGRqQpbr03fh3dmH7pr172TF9Lk6e6PnEmGKOKvZWP1jkvV/rlS661f1osxCLHacwEJ8wHg4uUMtB22rtzC1k35BUX4/OeTGPbO33LxRhQLfj9rls+Vxt8rKBSj4KH2OMAYQKQuii1uSV0OpW6IUnfDmTNnwtn5VvPhSZMmoUWLFtDr9QgMDISLi7Knwk06dA6RK3bJJy3Plo3kZQXpWdgzYT4e+vRF2Hu5IqBXG3i3C8HetxZAaZyatINb52FI+2cZsiL2lLtOcWE+oqb1h1NwB/gMeKfaj5GIyNQWrb2I2UvOVGjdjKxC9B63Bdk5hRDBzoOJKCoyz0X41n1izpim9lxAjflAUVEx+ozbjKspuRVaX2rJOfPnkxDFlr1xZvncpLQ8+aaAiNQeB9QWA4jURpHFrYiICCxbtgweHh6YOnVqueuEhYXJP6Ui151IXRqlll0fffQRRHd81goU64vwwMSBJcvidhxDzLo96DR3PNpMe0k+seWnKXPmFJ+B7wNaK8Qv+aDc9y/PexnFhXkIfPXnaj82IqKqaLU183/GXaQmJOXgt01REMHhiGRVfvb9UnsuoLZ8YGN4LM5GXzdqm6+XnEZhYTEsnVSIjzDy32ZKhwVq6fpvao8DaooBRGqjyOLW0qVLUVxcjCFDhsDJyancdezt7e9a3Fq+fLk8ZpdSZMYkInrNbvh2ao5aDzUpWX5o8iI41/WWmyvHbjsCpbLzaQC3joOQeWKb3Lf+dtfWzcb1Q+tR/+3V0No6mO0YiYhM5Z8jV3HqovEtC775LUIujFm6IxEpZvtsaca05LQ8iEjtuYDa8oFvfqtYy83bxV/LwRozdPk11vHzqWbtQilycUvtcUBNMYBIbRQ5oPz27dvln126dLnjOlKXxTsVtzIyMvDaa6/J3RmHDh1638fTsmVLeawvY1gbtPgQrWFKJ75eKTdDlu7U/PX0jdZo+tx8ZF26hrSIy/e174ZBDVGoMd2dPo2NPby+ugBT8h7wLlLDl8p3ahp9ukNelnliB2IXvYWgD/6ErVfgfe2/YcMgGAoq1vSfiKgqZdp1BBy6Gb3d0bMp8KtdD1pYdvfEqzXGAlae5b53cGlfeHvc+aLE28O+5OeVLaVnEfu3xOQctBq8tszykNC2sC668xhGpsJcwPS5QFXnA5aUC8S7viv9Eo3ebvjYT/FaziZYslzrJoDzoErFAGPiwJ1iwKIlq7Hhu7vHD0uNARK1xwG1xAAiEXl7e+PQoUOV2laRxa1Ll27ccQoICCj3fWmsrd27d9+xuPXuu++iYcOGcssvUxS3pMJWXJxx4wLYaKwALyM/Z+9p/Ozz9B3fv34hDov8bzVBNqX4hHgUGEw3uKZ0t8TIfz6cm3VG2Jo738Wzr92k1Iwn+VdjEPX5M/Af/rm87f2SZuIszs+57/0QEd03r3ygkjedE66mAvoMWDRHA2BV/lvSRa2/l+M9d6Gz0lZovfJcu5YC5FX9eD/MBYzPBcydD1hOLqAB3Co3q2d2jh7ZRuat1a6GL3BrON1KxYD7iQN5+Xqjc/vqigEStccBxgAidVJkcSs7O1v+mZtbftVcGo9Lmk1RGmS+bt26pd6TqoTff/89Dh8+bNLqY2Xu1MDyhzwo4evja/K7NFVJOulETu2HGq37olavsSbZp6+vL+/UEJFFyLSzQWXLUz5ebtDe6arRQlzVaaC/S0uLu5FaakgXtPqiYiQm3z1m32lftTzdYV1c9Sdp5gJVmwtURT5gSblAvCEfBo2t0ds5OuhQ088PlizXugZSKxkDjIkDd9qXna0O7tXwOxItBogYB5QcA4hEVJnaiaKLW9IvJC0tDUeOHEHbtm1LvZeQkICJEyfKz5s3by4PGH9TUVERRo0aJc+wGBISYrLjqUyzusKcPPxa//5bjVWX8xfOw9rBzmT7k2at77gRVSZtz0rkRh9HXtx5ecaUfwuZewY2nnWM2uf58xdgr8hvFBGJ5sDJJDw0pGxXmntp09wTe3+JhqXr9tKf2La//FkLy+tCdDupC5LUUkO6oK3d/bdKff7ZU/vg6mJ80cBYzAWqNheoinzAknKBJ8Zvwdqdxncx++37D9D74R9gyfafuIY2Q9dVKgaYIg6MGPok5r03E1VNtBggYhxQcgwgUhtFfvW6desmz5g4ffp0dO/eXe5iKDl48CCGDRsmt9qShIaGltpu7ty5uHr1qiJmRzTGpqc+hNq4dxkmP4iIlKhVUw+EBXsYPejx6IG3Bhe2ZA82cb9jcauq1fN3rpbCVnVTYy6g9HxA+j4bW9wK8HVCzw7+sHTNG7rBykqDoiLzDCovxVclUmMcUHIMIFIbRc6WOGnSJLi7u+PKlStyC6xmzZohKCgIrVu3Rr169fDII4+UGW9LKni9//77+OCDD+QxudLT0+WHJC8vT34uzcBIRERk6aRWyZNGNDNqm0BfJwx4tHRXfUtlzgtLpV7UkvJ0b+uHBxq7G7XNm883g5WV5V8e2NvpEFLf1WyfzzhARGR5LP/sVQn+/v4IDw9Hr169YGdnh5iYGLi5uWHBggXYsGEDzp8/X6a4Jc2emJmZKXdLdHV1LXlIpBZg0vPLl+9v9hAiIqLq8sxj9fD+qNItlO/E09UOG+c9Jo8jI4IurXxgrTNPCtOjveW3aiGSaLUarJ3dXW6NVRGjBjTGmEFitN6U9GhvnnHBfGs5oGkD8xXWiIiofGJksZXQpEkTrF+/vszyrKwsudil1WrRtGnTkuUNGjTAjh03poK9XZcuXfD8889j+PDh9zW4GRERUXWbMiYMPh4O+GDeESSn5ZW7TscHvfDzJ51Qz98Foqjlbi+3MluyMbJaP7emsw0G9ahXrZ9JdD/8vR2x75c+GPF+ODbtji13nRrONnhrRHP894XSY9FaOqkY9/nPJ2Go5p6Jo55uDJ2ZiutERKTC4tadnD59GgaDQR6Hy8Hh1jzpTk5O6Ny5/KlfAwMD7/geERGRJXtlYBP858mGWLElGr9vjsaf/8SioLAYjvY67FncRx67RtTxhKq7uDWiXxAcOFIwCcbbwwF/zn8M52OuY8GKs/hm6RnkFxbD1kaLOf9ti2cfrw9HB2tzH6bRpIK8ND7YxvDyi3ZVQafT4MX+N8byJSIiy6K62w4nT54s0yWRiIhIyWxtrDCkVwOs/rq73AXxZiskUQtbknahtdC7U+1q+zxXFxtMHN682j6PyNQaBtbAF28+BI//jwEeNe3w0tONhSxs3fTxmDB5YPnqMv7ZEPjWcqy2zyMioopjcesepFZeosye6BocgF4bp6Lfrq/Qfcm7sHV3gXfbEAyN+hV9t3wOO/fSXU5qBPnJ77WeMrxkWfDI3ui/Z468vghyoo8j4s3WOD2mCS581AOF15OQeXInjgywx5nXQlGYfk1eL3nrQpwe3wyHn9Th6tqvyt1X7pUIHBnggCs/vFay7OqaWTg1qoG8LyIishxS96kFH7SXi3TVYfZ/28LH81aLb9HO/Q++/SyeDP8afbfORO9N0+HbuWweJK078MQPeOSnSSXLAvu2Q7+/Z+HZs/+D6LlA3OJ35VxAWiY9Unf9VmZfzAXE8mCwB95+oXpuWDcMqIFPxoZBqdcAIseBisaAmK+H48QIv5IYEPvTxDL7YgwgEheLWwrS4aux2DtxAVZ3eg3Ra/ei1QfPycszIuOxtvtE5KVklKyr0Vmh3ecv49KfB0rt48x367FnwrcQhXSSChj9HUK+iYBrh2cQ+9Ob8nI7v0YI/uoYrGvWkl871A9DvYnL4dbp2XL3Y9AX4vK8kXBt82Sp5V5PvI6AsT9Uw7+EiIiMJbWg+OaddkZtk5icg9ir2fLPiurfNRBDetWHyOf+q/sj5Ndru72J3W/MQ+cFb0Bnb1tqX20/H4UrWw6XWhazdg+2DvkMSsgFvJ6ciJDZJ+VlDd7fgEvzRkKfkVyyH+YCYpImzniwiXuVxgFpAoufP+koz9Ko1GsAkeNARWPAzTggLZMe/iNK38xnDCASm+qKW9u3b5dbY0kzKSqJW9O60OfkIfV0jPw6cvlO1H60JbQ25Z+EQ98YgJh1e5EZlQBR5UQdhZW9Exzq3biL4t7leVw/sBYGfUGZdR3qtoB97SbQaMv/k49fNgWu7QbA1jeoyo+biIhM59le9THttZYVXr/V4LWo3f03+WdFdArzxuLPHrbIgbaNOffHbT+Korwb58e0iMtS07dSrTmCBj+CrMvXcG1/BJSaC+icapY8L87Nkprnw1BcXLKMuYCYbKyt5NlegwJcqiQOSLNOLpnWGW1beEHp1wAixgFjYsC9MAYQic0ybz+Q0Zzq1IJr4zqluhNKd2QdvMuOp+LxQBA8wxpi88ApCJ3wDESVfzUauZdOlmoiXJyfg4KUOKP2k31uP7LP7kXQlC1I+G1yFRwpERFVpbf+00K+wH3j8/0m3e+j7fyw6suuFjuIvDHn/tsFDeqCrEtXkRWbdGM/tWuh0XOP4s8nP0Ddvsa1hBMtF7i2bjaubfwGhSmxckuMmy06mAuIzcvdHn8v7IXHXt6EkxfSTLZfG2stfpvRBU92DYTSrwFEjQPGx4CvkbJ1IWw868B3yCclRTHGACLxWWa2RpWSdPQCtgz+pOT1oFM/llnHyt4Gbaa9iJ0vfgElcAx6CEGT/yp5fXyYp1HbSye/ywtGo95bKyzyrjwREVXM68Oa4oHG7vjPB+GIjsu87wH4Px7zIN54rimsrLTCn/tv59OhGVpMGIDNAz8uWdZ+1mjse+fHkpZdSs4FavUZLz+kMXqiZw2FS+ij0NraMxdQAGlMvH2/9MU7sw9h9hJpdvT721/LEA/8NKUjmga5qeIaQOQ4UNEY4Dv0U1i7+sg9OdL2/oELU3qi6fwL8mvGACLxsbilENIdWEc/j5LX1k720DnYIScxtdR6zgHecPLzQI+VNwbJt3FxBLQa2NRwwj+vzoVIbL3qoSD5csnropwMFOVlw8bdr8L7yE+IREHSZZx/r8uNfWSny10U9FlpqPuaZQ6aSURE5evcygcnVj6JD745jAW/n0NOnt7ofXRv64uv32qLJvVudWET/dx/k1fbYLT/ajS2PTdNHotH3sbZAa5NAtB5wevya52jndzq49HlH2LzM5MVmwtIwxXYuPkh89RO2Pk2ZC6gEFIry6/eaoOnugXi9c/34/CZW2OqVZR7TVu8+Xwz+aHTWXZx21TXAPvfWyhsHDAmBty+zLXtk4hb9F/kxZ2DVmfDGECkACxuKYTUz764sAg+nZojYdcJNB7+GKLX7EZxQenEPv3sZfzW9IWS11KTZJsaDjjwwc8QjdSMWGNljYxjW+AS2h1JG+fBrcNAaHQVnznLPrAZWiy+0S1DEr/0I/mEVvvF8mdUJCIiy+bkYI0vJ7bBhy8/iEXrLuCHVedx8kLqXVtxSF2aBvWoh5efaYzGdS2/qGXsuV/i1aYJOs4Zh+3DZyDtzKWS5YWZOfgtZETJ6wbPdEadnq2xfcQMKC0XyL18BvZ1gktubklj9djVDpbH5GQuoCwdw7xxcGlfHDyVjHnLIrB6xyVcz7xziySdToPWTT3x8oDGGPBoXdjZ6lR3DSBqHDAmBhQkx8LGw19+nnVuH/SZKbDzaQArxxqMAUQKIE7kpnvaNeZrdPhqDGymvYTMmETsGjsbro3qQMnqvvErYmaPwOX5r8DWpwHqvvELci+dKrNe8rafEf/reyjKSkP6/tW4unomGry3Dg71HjDLcRMRUdWq4WyDcc+GyI/M7AIcjUjB8fOpyMgqRFGxAfa2VmgYWAMtgz3gW8tB2K4oFT33t/9iNKxsrNFh1uhb246bI1/wqiUXiPvfJHl8Ho3OGhqtDnVGzZULW6RM0ne6dTNP+SFNJhUVmym35JJ+5hcUyTMgutWwxYNNPNC8oatQBa1/U+M1QGVigDSrYuH1q9BoraC1sUf9Sb/LhS0iUgZxoziVISWo63u8ZdQ2x75YDpFJLa+afHnonut5dB0uP+7Fd/CNptpERKQczo426NTSR36o9dy/qv24Cu3v4vKd8kOJuUCD99dXaH/MBZRZ6Kpf20V+KJGprwFEiwMVjQENP95aof0xBhCJyfI7ktN9KSrUw9bVWZ5B5fYpv+8keGRvebDJvNT7G4zXnKRmyPqMFHnWlML0a/e1r6trZuHyt6Ohc741lgEREZGSzv13E9i3Hbou+i9yk9IhEuYCpHZqjwOMAUTqozFI7XTJ4hTm5OHX+kMhiiGRv8Dawc5k+8vVAx03QijhjwMWOls8EVEJ/25LEXctB361HBC7dbC5D4fugrkAc4GqwBggDtFigETtcUCEGECkVGy5RUREREREREREwmJxi4iIiIiIiIiIhMVuiRZK+m/R5+ZDFDp7W5PONCX9VeYVQSh2VtKApeY+CiKiu2OXJHEwF2AuUBUYA8QhWgyQqD0OiBADiJSKPYItlHRSMGV/ddFIJwX2VyciIjVjLsBcgNRN7TFAwjhARBXFbolERERERERERCQsFreIiIiIiIiIiEhYLG4REREREREREZGwWNwiIiIiIiIiIiJhsbhFRERERERERETCYnGLiIiIiIiIiIiExeIWEREREREREREJi8UtIiIiIiIiIiISFotbREREREREREQkLBa3iIiIiIiIiIhIWCxuERERERERERGRsFjcIiIiIiIiIiIiYbG4RUREREREREREwmJxi4iIiIiIiIiIhMXiFhERERERERERCYvFLSIiIiIiIiIiEhaLW0REREREREREJCwWt4iIiIiIiIiISFg6cx8Alc9gMECfmw9R6OxtodFoTLY/gwHIK4JQ7KwAE/4KiIhUTbTzoETt50KeB8nU1B4HRIsBEsYBIjIXFrcslHQi/7X+UIhiSOQvsHawM9n+pBN5x40QSvjjgD2/UUREqjwPStR+LuR5kExN7XFAtBggYRwgInNht0QiIiIiIiIiIhIWi1tERERERERERCQsFreIiIiIiIiIiEhYLG4REREREREREZGwWNwiIiJSgfyCIly4dB2F+mL5dVFRsTwTGRGpx9WU3JIYIP3MzdOb+5CIiIhMgnNZEBERKVBxsQHb9sdjxZZoHDqdjJMX0kouaiWJKXnw6rwEYcEeaP9ALQzv2xD+3o5mPWYiMq2k1Fz8b+1F7DqciENnkpGQlFPy3rXUPDi3XYTgejXRMsQD/boEoFen2rCy4r1vIiISD4tbRERECmuhNX9ZBOYtj8CFSxl3XTcpLQ+bdsfKj4/mH8UTnQMwcXgztGlRq9qOl4hM78T5VMz46QR+3xyNgsJbRe1/KyoyyIVv6fHT6guo7e2IUU83xmtDQ+DoYF2tx0xERHQ/WNxSEO+2IeixanKpZYXZuciISkDkil2I+HEjDEV3TnBEl3lyJ86/16XUMq2dI2x9G8K98zDU6j0OGiv+yRORch0+k4zh7+3CqYtpRm8rXeSu2haDP7bH4NUhIfh0XEs42IsXM3ku5LlQzQoKi/DZ98fx6Q/HoNcb3+34SmI23pt7GAtXn8fCKR3xcEsfiEbtMUDCOEBEasSopkBRq8IRu/0IoNHA3rMmGgx4GK0nD0eNID/snbgASufaaTBqhD0OGAwoTEtEys5FiF34BvJiIxAw5jtzHx4RkclJY2dJrTTenXNYLlLd376Ar345jfW7rmDt7O5oUq8mRMRzIc+FanM5IQtPvLoFx86m3ve+omIz0fk/GzFpRDNMfbUVtFoNRKP2GCBhHCAiNWGnegVKORmNqJXhiFqxC6fnr8WGXu8gOy4ZDZ/tClt3FyidQ70H4d55KNy7DIN3/4loPGMfrN39kbzlBxReTzL34RERmbyw9fbXh/Dfrw7dd2HrdhcvZ6DTiA04fi4FIuK5kOdCNYmKzUCH59ebpLB1uxk/ncRLk/+Rx/ATjdpjgIRxgIjUhMUtFdDn5iPpyAVotFq4BHhBbazsHOHYqI181yo/MdLch0NEZFLTfjyB6QtPVMm+k9Py8OioTfKFs+h4LuS5UKmupeSi20ub5C6FVWHhH+cxYeZ+iE7tMUDCOEBESsbilko4B944ieenZ0GNbp7AdU5u5j4UIiKT2Xf8mjw+jjEOLu2LK1sGyT8rQppR7fl3dwnZcuPfeC7kuVCJLTdHfbwb0XGZVRYDJFJX5Q27LkN0ao8BEsYBIlIqjrmlQDp7G9i6OZeMMdDouUfh3qyefLdKGkxT6Yrzc6DPSJYTPn1aIpI2fYvcqKNwCGoNO7+G5j48IiKTyMvXY8QHxhedvD0c4O/laNQ2/xy9ijlLTuPVoU0hCp4LeS5Ug9/+jMLq7ZeqPAZIRk7ZjVOrvODqYgsRqD0GSBgHiEhNVFHcSk5OxowZM7Bq1SrExsbC09MT/fv3x2effYbx48dj4cKFmDNnDsaOHQsleGDSIPlxu5gN+7D/7R+gBglLP5Qft6vZtj/qjPrGbMdERJYxk+D+E9eQnatHDWcbdG/jh7r+zhDVrMWncTb6erV93tuzD2FIrwbwcLWDCHgu5Lnw37JzCrHu78uIT8qBVqNBPX9n9OxQG9bWYnZkyM3TY/z0fdX2efHXcjDl26OYNakNRKD2GCBhHCAiNVF8cevYsWPo2bMnEhMT4ejoiODgYMTHx2P27NmIjIxEauqNgTdDQ0OhFOcWb0bMur3QWuvg2rgOmo7pB0cfdxTlF5Ss8/D81wGtBn+P+rJkmU1NJ/TbOQuHpiySZ5gRlcdjI+HabgAMRYXIvXQSiaumoyA5FhrrWxdkmafDcXFKzzLbGvQFMBQXIeyPomo+aiKqCtLd6mWbouRC0IFTpQfP1WiAnh388daI5ugk2HT3en0x5i+PqNbPzM0rksfemfSf5hABz4U8F94Ufy0b0xaewP/WXkBGVmGp97w97PHSU40wcXgzODvaQCTL/oqSx8WrTgtXn8cnY8Pg6GANS6f2GCBhHCAiNRHzVpURLbb69OkjF7YmTJiAhIQEHDlyRH49ffp0bNiwAQcPHoRGo0Hz5mIk6xWREZWIhPCTiNt+FKfmrcG256fBI7Q+2k4fVbLO3re/R61WjVC3X/uSZW0+exHXDpwV/kRu6xMEl9BuqBHWE979J6HBu+uQc/EgLs9/uWQd55COeGBZVqlHyLzz0Dl7wPfZj816/ERkusLW6zP2Y/BbO8sUtm68D2wMj8UjL/2JH1edg0g2hF+pssGj7+bb38+iqKgYIuC5kOdCSURUOh4asg5zlpwpU9iSJCbn4uMFx+SZQaWB2UUyb1n1Frgl0u9wyUYxBiJXewyQMA4QkZoourgldTmUuiFK3Q1nzpwJZ+db3U8mTZqEFi1aQK/XIzAwEC4uyp0SOOnQOUSu2CWfuD1bNpKXFaRnYc+E+Xjo0xdh7+WKgF5t4N0uBHvfWgClcWrSDm6dhyHtn2XIithT7jrFhfmImtYfTsEd4DPgnWo/RiIyvU++O4avfz19z/WKigzyVPdrdhg3bo25x9kxB2nQ6oOnkiEingvVdy68mpKLHq9sQuzVexeCj51NRe9xm+Wx7EQQHWu+7+Jvm8wTf+6X2mOAWuMAEamHYotbERERWLZsGTw8PDB16tRy1wkLC5N/SkWum3bu3Cm35Pr3Q/Rui8dnrUCxvggPTBxYsixuxzHErNuDTnPHo820l+STe36aMmeP8Rn4PqC1QvySD8p9//K8l1FcmIfAV3+u9mMjItOTuupIxa2KklpxTfzygDAzAh46Y74C0+EIMYtbEp4L1XUu/PqX07icUPEWjlKxaNmmaIjAvDEgRW4ZKyK1xwA1xgEiUg/FFreWLl2K4uJiDBkyBE5OTuWuY29vX6a4ddM333yDvXv3ljwWL14MkWXGJCJ6zW74dmqOWg81KVl+aPIiONf1lptsx247AqWy82kAt46DkHlimzy2wO2urZuN64fWo/7bq6G1dTDbMRKR6UhjQxUUGtd97sKlDGw/EA9Ldz2zABcvZ5h1YH5R8VyonnNhfkERfqhEd2NzdPUT7XsoxaDIK5kQkdpjgNriABGpi2KLW9u3b5d/dunS5Y7rSF0W71Tckgaeb9OmTcmjWbNmEN2Jr1eiuKj03Sp9bj6yLl1DWsRlKJ33gHcBrbbUnarMEzsQu+gt1Jv0O2y9As16fERkOks3VW5MmKVm6u5njPOXqm+GxPKcizHv598vngvVcS7cvj8eSZUYbF0any8q1nzFY1G+h+di0iEqtccANcUBIlIXjUHUdsX3ULt2bbl4dfTo0XK7FEpjbfn4+MiDzkuzJtarV6+kW6JUENuxYwc6d+5skmNp2bKlPIi9MawNWnxY3BrVocfKybiy5TBOf7u20vuYrD2AQo3pBhnW2NjD66sLqEr5V2Nw9s1W8Bn0IWr1Gnvf+7v6WhAMBWINRkukVAk1J6BYa/xYinYF5+CetQSWLF8XgGSX/5T73sGlfeHtcfe77dLscDorLfRFxfJg2neSmJyDVoPLnhes9QmolfEtqlp1ngclPBfe/7nQks6D2TYtkO7Uv1LbemR8D1v9jRuglirZaSjybYIqFQcqGgPuFgfcMpfBvvAMqppo+bCp40B1xAAlxwEiEo+3tzcOHTpUqW11UKjs7BtjLOTmlh9cpfG4pMKWNMh83bp1y7w/cOBA+X13d3f07dsX06ZNk8fvqgypsBUXF2fUNjYaK8ALwohPiEeBwXRTBUtNoavyn1+cn4PIqf1Qo3VfkxS2JPHx8fJ+icgCOBUCNsZvlpebbXS8rnYO9sAd6nbSBa2/l2OFdiNd3FZ03dsVFuRXy+9ItPOgRO3nQos6D9b0B8ofleKekq8lArkWHgcC8+4Y4yoaByobAySpqSlABuNAVceBqo4Bio8DRKQqOiVX/NLS0nDkyBG0bdu21HsJCQmYOHGi/Lx58+bygPE31ahRQ36vU6dO8lhd0nhb0oD0+/btkyuIdnZ2lTqWytypghizrct8fXxNfre6KqXtWYnc6OPIizsvzxjzbyFzz8DGs45R+/T19eWdKiILkaxJRz7cjd7OySYHNfz8YMkKrZxx7S6tLO7FmJZb5bGxLoZnNfyORDsPStR+LrSk82CBlQFJ0hOpg8Jted49GYrg7W4DK4Nlx4FUGyC3knHA2JZb5XF3dYSdM+NAVceBqo4BSo8DRCSeytROFN8tcfz48ZgzZ47cPXHr1q1o2LChvPzgwYMYNmwYoqKiUFhYiDFjxmDu3Ll33de6devk1lsLFy7EiBEjquX4C3Py8Gv9oRDFkMhfYO1gfOHvTnL1QMeNEEr444C9YsvFRGJZ/lcUBk7cYfR259c9jaCAGrBkBYVFcG6zyOgB82+6smWQ3Foj9mo2anf/zejtXxsaglmT2qCqiXYelKj9XGhJ50EpvX3gmdU4fi7VqO2eeawuln3+CCzd1B+O453Zh8wSAyTXdj4LT7eqL7yoPQ6IFgMsLQ4QkboodkD5SZMmyV0Kr1y5gpCQEHlA+KCgILRu3VoeX+uRRx6542Dy/9a7d284OjpWuu8nERFVr36PBMitE4zRva2vxRe2JDbWVmje0M1snx8WXLku+kTVSWqVP3rgrdnwKqoy25hDWLDxLVNNpY6PY7UUtoiIiIyh2OKWv78/wsPD0atXL7krYUxMDNzc3LBgwQJs2LAB58+fr3Bx66bbuy8SEZFlF4B++awzdFYVi9u13Ozw7fvtIYq2LWqZ7bPbNDffZxMZ4z/9GqJXp9oVXv/VISF4uKUPRNAyxBM6nUZ18YeIiEh1xS1JkyZNsH79emRmZsqP/fv3Y+TIkfJg81KxS6vVomnTpvfcz9q1a+VtpFZfREQkhq5tfLF2dnc43qN/hNQKYcePj6Oev/GzK5rzot0cHm7pjQZ1xPk9kbrpdFr8PvMRPNk14J7rvvFcU3w58SGIwq2GLZ58JNAsn/3Ck43M8rlERER3o8oe0adPn5bHYpDG4XJwKD1V8tChQ+Vuiw8++GDJgPIzZsxAaGgoBg0aZLZjJiIi4/XsWBsXNwzAj6vOY8GKs7iSeGMmXYnUtU/qgjSkV304OVhDJKGN3dEutBb2HLvT0PJVQ5QuW0Q32dvpsOKLrth+IB7zlkVgzY7LKC6+NdzsiH5BeOWZJmjV1BOikb6Pv2+OrtbPDApwQdeHfKv1M4mIiPB/7d0HdBTl2wXwu8mmN1IgFRJKgIQWDL0JUqSLKAICCn+lCIgFAVEBAQsginSxItKlSVOqCALSmyG0NEglCQnpZZN8Z4aPUBIwGzbJvjP3d86eZHdnZgfN3Jl59i1qb7n1KBcuXHhkl0RpfK7NmzfjlVdeQbdu3eRB5IcPH44DBw7A3LwU88oTEVGFcnOxxocjAhD2+0twc74zyK+bsxXO/toHI/vVFa6wddeEoQ3K9fNqVrWrsJYiRE/CxESDTi08sWleJ9w6NBiuTndywL2yFX6c0U7IwtbdlpRN65fvGHjjX2kg//ckIiIyNixuPWTy5Mny+ykpKfJsimFhYfjqq6/g4GD8gwwTEdGjmZqayI87v2uEH0exzzM+eLFz+RWbfpzeFmZmqrxsIAVxsDOXuytKTATPACnDfvi4Lcz+/99T1to3dcfwF9glkYiIjJMquyU+rrglMkd/b7SaOwpmtlZIj4zHwTcXwrF2VXRa9QFSQqKxe8BMZCWmoM3XY+DeriGyE1Pk9aIPnsfJmb/IvzeZMgQ+z7XCrQth2D9sDoxdRtg5RCwejvzMVJhX9obPO78g63oQrs7oBkvPOvD9eDfMKlVBwt4fEbd1HrJuBMNr2Fy49n67cBvh84ci5eweaB3ufHNr36gzvIZ9If8e+dME3Pp7HaxrPoVaH2ypsH8nEVFxFn/QCgdOxiIhKavE68QmZDzwsyTGveyPdkY60HZJz31PTX4Z3t2bIy87F/m6PJyetRrRB87J2wgY/xLqDnsWGTG35OdJVyJxaMx8+Xf/ET1Rd+iz0KVnYWvnCRD1PBj1y4dIPrEVGhNTeT23vu/Dqd2d4RZ4HhRXg9pOmDaqMT5adKpMM8DaUosfprcxylZbJc2Auxx8PdFr1xxcWbkHx6cuFz4D9MmBxx3rzAEiEp0qi1v79++HErX5eiwOv7MYt4LCUWvAM2g69RVcW/unfGJ/+GQctHQrLn63o8g2pCJX8uUbqNZNjMHzpROxz7ifYF0jQC5gRf70Hlw6DpNP5P5fny1czrpmIGpMWI/YDZ8Xux3X5yc8UPC6SzqpW1arh+RjPJETkfGp4myFTV91RJdRfyArO69E6zQduFWvz3immTtmv9MUop/74o4F49y8DcjLypFvhrttnoH1ASOgy8yW3w/ddKjwRvd+F7/dLn/h02zGUBijkp4HpfOc55BP5d9zEqMQNMYP9gGdoLW/062N50Fxvf9aQ5y9nIgNe8LLJAOklq5rZrc32kk39Ln+1WhN0eqLUYj4/XiR7YiaAfrkwOOO9ce9xxwgIhGwf4FCONWvDl1Glnxil4SsP4CqXZrAxFy59cuM0DMwtbKVT+QS5w6v4vbxrSjQ5RRZ1rp6I1hV9YPGhH/yRKQsbQPdsG1hZ7llhaF1aOqO3xZ0hqWFVvhzX9T+M3JhS5IUfF3q0wVLZ+O8WS+L86DWtlLh7/mZaUBBAQry88t1f6lsSN2tV37eHn07Gr6bstTlcc3sDujd4b9nnBTh+jfg3X4I33YUqaExUAp9coCISMmM82qV9GZbrQoc61ZD7z13mg9LtFYWsHZzKnZ5v9e7y99upUcl4MzsNYUXBSLJjgtDZsQFXHz7zslckp+dIX8jra+b2+Yjce+PMK9cDR6DPim8QCAiEoE0WPZfP3XH4Ml/4XL4bYNs842X6uKrCc2NtrBVmnPfXb4DOiAtIg5pkfGFr3n3bAm3VvWRnZQqt/CKPRIEpZ0Hb25bgJs7FyM3MRLeY7+Xuynde4/nQZFZmJti3RcdMHXxacz+6fwDM0KWVlU3G/z8STt0aOahiAxwaeyLyoG1sbv/DLkb4sNEzIDS5cCjj3XmABGJzHivWElv8WeuYs/ATwqfD/j3h2KXOz1rDTLikuRvbaXuh51WfYhNrd6Uv/kSjY1vc/hO31X4/NwQ/Wc88hj8Kcwc3eVWXUlHN8vjE9RfelX+FoyISBRN6lXGmfV95JvbL1dckCK+VLw9bOXB459pbrw3tKU5993l3qYBGo3vh939Zxa+dnnFbpybvxEFujxUaVoHHX6ciO3dJiE9MgFKOg9W6TVOfkjj84TNGwz7gC7Q2jvzPKgQ0kD5n73VBH2e8cbQKQcRHJpc6m1JA8fPHd8M9rbmisgAUytztJj1Og68/mWx2xA5A/TJgccd68wBIhId+2gphPQNtI3nvemgpUE1tdaWyIi9MzDm/eTX/v+u5/rvx5GbmgGHWmLcxNzPwrUGchKuFz7Py0hBXlY6zJ099dqOtPzd7oqOLZ+HqZU9sqIuG3x/iYjKmpWlFl+Mb4bLW1/Eu6/URyW7kt+YNqtfGctntkPwlheEKWzpc+6TuLb0R+uvR2PfK7Pk8XjuyoxPlm9qJTdPXMatf8Pg0qgmlHoelLrqmzt5IvXfA/JzngeVpVmDyjj7ax+5JdfTTdxKvJ6ttRlG9auLcxuex7fT2ghR2CppBth5u8HW0wVdN36MF48vgf/wHnIPhjbzxwqdAfrmwOOOdeYAEYmOLbcUQupWmJ+bJ8+CGHPwvDyrS9hvh5GfoyuyrLW7U+FsMJWf8oWFkx1SwmIhGqmptMbUTJ7ZxT6gM+J3LoFTm/7QaPW7GMtJiIS5i5f8e9rlf6BLTYSle60y2msiorLn6+2AL99rjpljArH/eDROXUzAqYuJuBJxG5nZOmhNTeBob4GAOk4I9HdB68auaFj78V35RD/3ubbwQ9uFb2L/0DlIuhjxyPOiXXU3ONXzuTMul4LOg5nXL8Kqmr/8e3ZMiDxOj2XVO895HlQeczNTvPRsDflxOSwZh07H4eTFBJwJTkTi7Szk6vJhaa5FDS87BPo7yznQsbmHEAWt0mRA8qXrWFv/tcLnUrdEcwfrwgHkRc0AfXPgccc6c4CIRMfiloIcHDMfbb4eA/NZw5EaHouDYxfAsU61YmeVsarsgIK8fOiycnBg+Jdy6y0RVX93FcIXDMP1pW/Awr0Wqr+7EpkR/xZZLmHfckSv+gh5aUnyTC9xW+ai1kfbYF2jsTzDTO7tOHl6dBNzK9Sc+CtMbRwq5N9DRGRI1lZa9Hy6mvxQ+7mv9ZejYWpuhjbzRt9b982F8k3vU++/DOeGNeSWG/n5+fhn8vdIEWTA6ZKeB6N+niiPzaPRmkFjokW1kYvkiVYkPA8qW53qleTH6y/UgZoz4HFEzgB9cuBxxzpzgIhEx+KWgkgX6Nu7TvrP5aSBNJXCyqcB/L46+Z/LuXQcKj+KU3vm3jLYMyIiMqZz36bWbz7yvb/fWgSlnwdrTdn+yPd4HiQ1ZMD9zn65XjEZoE8OPO5YZw4Qkeg45pbC5eXqYOFoJ88iU5Ipz5tMGYIGbz6P7OQ0iEpqhq1LSZRnjclNvvlE24r8aQJiN3wOrY2jwfaPiIiM69z3OP4jesoDUWfdSoUoeB4ktVN7BkiYA0SkNpqCgtLOp0RlKTcjC6tqDoYoBoWshJm1pcG2l6kD2u6EUA51B6zYFpLIqHl1WoOomxnwrGKNyL0DK3p3SEHnQYnaz4WinAeZA+JQew6IlgEi5QARKQ9bbhERERERERERkbBY3CIiIiIiIiIiImGxW6KRkv636DKzIQqtlQU0Go3Btif9VWblQSiWpoAB/xMQURlgdyRxiHYelKj9XCjKeZA5IA6154BoGSBSDhCR8rBHtJGSToqGHLdDNNJJkf31iYjUS+3nQQnPhaR2as8BZgARUcmxWyIREREREREREQmLxS0iIiIiIiIiIhIWi1tERERERERERCQsFreIiIiIiIiIiEhYLG4REREREREREZGwWNwiIiIiIiIiIiJhsbhFRERERERERETCYnGLiIiIiIiIiIiExeIWEREREREREREJi8UtIiIiIiIiIiISFotbREREREREREQkLBa3iIiIiIiIiIhIWCxuERERERERERGRsFjcIiIiIiIiIiIiYbG4RUREREREREREwmJxi4iIiIiIiIiIhMXiFhERERERERERCUtb0TtAxSsoKIAuMxui0FpZQKPRGGx7BQVAVh6EYmkKGPA/ARGpnGjnAUOfC3geILVTewZImANERFRSLG4ZKeliZlXNwRDFoJCVMLO2NNj2pAuZtjshlEPdASseUUSk0vOAoc8FPA+Q2qk9AyTMASIiKil2SyQiIiIiIiIiImGxuEVERERERERERMJicYuIiIiIiIiIiITF4hYREREREREREQmLxS0iIiIiIiIiIhIW5/IgIiLFunU7G0fOxuFkUAJOByfi5q0s+fX4W1noP2E/Av1c0KSeC1o2qgIrS54SiZSmoKAA5y7fwol/43EqOBHBocn3ciApC2/NOipnQIuGVeDr7VDRu0tERESlxCt5IiJS3M3ssfPxWLIuGOt3hyE7J6/IMjm6fKzfFSY/JI725hjWpzZG9avLG1wiBUhJy8Ev26/JOXAxJLnYZXJy87Fg9cXC560bu2L0S354obMPLMxNy3FviYiI6EmxuEVERIpxIzYNI6Yfxh+HI/VaLyklB1+t+Fd+SAWuOe82hZ2NeZntJxGVXXF7xdZreHvOP0hOzdFr3cNn4uTH5AU2+G5aG3Rp5VVm+0lERESGxeKWgri1rIeum6Y/8FpueiZSQmMQsuEggn/YiYK8fChV6oUDuPJRhwdeM7G0gYVHbTi3H4IqPd+ExpR/8kRK9dOWK/INbUpa7hNt55tfL+H3w5H4aUZbdGjmAdHwXMBzgVrFJmTg9Y//xo6DN55oO9dj0vHsqF0Y/kIdfDWhOWytzSASZgAzgIhIjZjsChS66RAi958GNBpYVa6EWv2eRrPpQ+Hg64mjE5ZB6RzbDYRDYHfp61vkJsUi8cAKRP74LrIig+E95tuK3j0iKoOWGh8tPIXPvj9nsG1GRKehy6g/sOKTpzGwe02IiOcCngvUJDQyBZ2G/4GwqFSDbfO7jZdx/sot7FzyLJwcLCAaZgAzgIhITThbogIlXghD6MZDCN1wEEFLt2JHjw+QHpWA2i93hIWzPZTOusZTcG4/GM4dhsCt7wTUnfMPzJy9kLDne+Tejq/o3SMiA5u6+LRBC1t36XQFGPzBX9iw+864XKLhuYDnAjV1R+7w2k6DFrbuOnYhHl3f+AOp6fp1cTQGzABmABGRmrC4pQK6zGzEn74KjYkJ7L1doTamljawqdNC/uYuOzakoneHiAzo191h+OTbs2W2/fz8AgyafAAXQ5IgOp4LeC5QIp0uH33f2Sd3JSwrJ/5NwPDpf0N0zABmABGRkrG4pRJ2PncuYrKT06BGdy9itLZOFb0rRGQg8bcyMfrTI3qtc2JNb9zYM0D+WVLSjGpDpxyUb6JFx3MBzwVK88XyCzgZlFDmObDujzBs3CNmK877MQOYAURESqX44lZCQgImTpyIWrVqwdLSElWrVsVbb72F9PR0vPbaa9BoNFi0aBGURGtlDgsnO7nJeaW61dD8s9fh3KCG/G2dNJio0uVnZ0CXkiA3Oc8Mv4Dr34xBZugZWPs2g6Vn7YrePaIKI7VCup2ag+SUbPl30b01+x8kJGXptY6bizW8XG3kn/q23Jj3y78QCc8FPBcUJyc3D4nJWcjK1kF0l8OS8fHS03qvV9oceOOTI0hKyYYomAHMACIiNVH0gPJnz55Ft27dEBsbCxsbG/j7+yM6OhoLFixASEgIbt26JS8XEBAAJWk8cYD8uF/4jn9wbPL3UIOYNdPkx/0qteyLaiMXV9g+EVX0DeDS9ZewfOtVubglsbMxw5CetTC6vx/q1XKEaMIiU7H2j9By/cyvfvkXbw2uB3MzU4iA5wKeC+4vaG3aG44l64Jx6HRc4euB/i5yBgzoWgPWVuJdEs5bGSS3rCwv8UlZWP7bVbwzpD5EwAxgBhARqYl4VzJ6tNjq1auXXNgaP348pk2bBjs7O/m9OXPmYNKkSdBqtXLLrYYNG0JJLv+yG+HbjsLETAvHutVQf0wf2Lg7Iy/73mCoTy99BzDR4K+RXxW+Zl7JFn0OzMPJGSvkGXZE5fLsCDi26oeCvFxkRlxA7KbZyEmIhMbMsnCZ1KBDuDajW5F1C3Q5KMjPQ+DmvHLea6LynUUwNT1XvtGVHu8MqYe545vDxEQDUSzbcEkaNqVcxSZkYsv+CLz0bA2IgOcCngskVyNuo/uY3bh2PaXIe6cuJuC1aYcwZfEpbF/YGY39XCAKqVC/cvu1cv/cpeuD8dagekLkJTOAGUBEpCaK7ZY4btw4REZGYuzYsZg7d25hYUsidVNs1KgRdDodfHx8YG+vrBljUkJjEXPoAqL2n8G/S37DvldnwSWgJlrOHlm4zNHJ36FK0zqo3qd14WstPnsdN49fEvpCRmLh7gv7gE5wCOwGt74TUevDbci4dgLXl44qXMauXls0Xpf2wKPekivQ2rnA4+WZFbr/RIYy4cvjJZpFcN4vQRjz6RG5GCaCvLx8/LD5SoV89ncbL0MUPBfwXBAelYp2w3YUW9i6X/TNDLR/bScuXLnTol0EUsvN9Mzy71p5NSIFf50Uo0sfM4AZQESkJoosbgUHB2PdunVwcXHB559/XuwygYGB8k+pyPWwzZs3o1WrVnJXRgcHB7Ru3RpBQUEQVfzJywjZcFC+cKncpI78Wk5yGo6MX4rmn74OK1dHePdoAbdW9XB00jIoja1fKzi1H4Kkv9chLbj4wafzc7MROqsvbP3bwL3fB+W+j0SGtvefKHy5ouRjRH3z6yVsPXAdIrgSkaL3WFuGcvTcTbm4JiKeC9R3Lvjf1ENyi8OSSEnLxcBJfwpT5P77TGyFffbhs/e6doqEGaC+DCAiUhNFFrfWrFmD/Px8DBo0CLa2tsUuY2VlVWxxSxqP66WXXkKbNm2wdetWeVudOnVCZmbJLg6N1bl5G5Cvy0PjCf0LX4v68yzCtx1Bu0Xj0GLWcPniJjtJmbPnuPefApiYInr11GLfv75kFPJzs+Dz1vJy3zeisrB4bXAp1rkIEUhdqSqK1FJEKq6JiucC9ZwLLoYk4c8T+rUwCgpJxsFTFVc00sepi4mq/OwnxQxQTwYQEamNIotb+/fvl3926NDhkctIXRYfLm5Jg8xPmDAB8+bNk8fl6tixI7p3747p06ejSZMmEFlqeCzCfjsMj3YNUaW5X+HrJ6evgF11N7nJeuQ+/WccEoWley04tR2A1PP75PEV7ndz2wLcPrkdNSdvgYmFfjMnERmj6JvppWqFtedoNEJuGH/h5uylir2xPBMs7o0tzwXqORd8u6F0XWi/WX8Jxi4zS4dLYcmqzaAnwQxQTwYQEamNIgeUj4iIkH96e3sX+7401tbhw4eLFLd+/PFHmJmZYfjw4QbdH6kwJg1srw+zAhNMQzOD7sf5+RvlpujSt3W7XvxYfk2XmY20iJtICn6y7ki1fWsjV2O4rjoacyu4fn0VhuTW70PcOrRG/rauzqd/yq+lnv8TkSsmwXfq77Bw9Xmi7deu7YuCHLFb+JEyZGt9kG8/rFTrNmvXB1a5FTOeVUklWfcGLO90LX/YiTW94eby6JsSNxerwp839jw4i9jDYhMy0HTg1iKvjx43ARNHHkdZK4vzgEjngrI4D5T1ucCYzgMJdq8AZjX1Xm/D9iM4tHoIjFmexgYFjhMf+b6hcuBRGRARGQ8vLy+UNbVngITXg0RE6uLm5oaTJ0+Wal1FFrfS09Pln4/qSiiNxyXNpigNMl+9evXC148cOYI6depg5cqV+OSTT3Djxg34+vpi6tSpGDhwYKn3RypsRUVF6bWOucYUcNXzc44GYbn7i498//bVKKzwutcM3ZCiY6KRU2C4GWWkb8z0/OfDrkF7BP726LFCrKr6PTDrTXZcOEK/eAleQ7+Q131S0dHRyM/OeOLtED0x20pAKefJuHXrNpCiX16VO68s4N5kVw+Qbmi9XG3+cxNaU5MSLVec27dTcDux7P8bleY8oKRzQWnOAxV9LjCq80CNPMBM/9V0edD7mqXcaR0Ax0e/XdY5UFCgKZf/RmrPAAmvB4mISNXFLanal5SUhNOnT6Nly5YPvBcTEyN3PZQ0bNgQGo3mgfeki5XJkydj9uzZqFq1Kn744Qe8/PLLqFy5sjz2Vmn3pzTf1kGgMYs93D0M/k1dWZIuOkI+7wOHZr1RpcdYg2zTw8OD39SRUcgxtUZ8Kdd1cbSEhZ0njFmylTnufIVRfEuLx5Faakg3tLq8/P8caPtR26rkYAMby7L/byTaecDQ54KyPg+UxbnAmM4DiWY6lGbaBXOTbFT2NO4MyNdY4XGjiRkqBx61HRNNHtzL4b+R2jNAwutBIiJ1cStF7UTRxS2pCCXNmCgVqDp37ozatWvLr584cQJDhgyRW21JAgICHlhPGoQ+LS0Nv/zyC/r06SO/Jo27dfHiRcycObPUxa3SNKvLzcjCqpqDIYorV6/AzPoRTSlKQZrdu+1OlJmkIxuRGXYOWVFX5FlzHlZv0UWYV66m1zavXLkKK0UeUSQaaTY/354bEBaVqtd60g3f9VOHYGZm3MMxzl1+ARO+Kr5bYHFdiO4ndUGSWmpIN7RVO68t1edvWrMUHZp5oKyJdh4w9LmgrM8DZXEuMKbzwOodIRg0+YDe683+4CW8PWQGjJk0o6Nz25VISsmpkBxoFuCDoyvvjN1altSeARJeDxIRUUkpMnonTpyI1atXy90K69Wrh7p16yIrKwvXrl1Dt27d4OPjg127dhWZKdHJyUn+eX8RS2rZJT1fvly5s6b88cI0qI1zhyHyg0iJTE1NMKpfXUz6+oRe6414oa7RF7Ykgf7OFfr5T/m5QIl4LlCWFzr74O05lohPKnn7LStLU7z6nC+MnXRtFujvgr3/RFfI50ufrUTMACIiEpnx38WUgjTI56FDh9CjRw9YWloiPDxcLlwtW7YMO3bswJUrdwZLfri4JRXCHkUqjhERiWL4i3VQw8uuxMtLrRjGDLg3c5Yxq8jiUq1q9nCwM6+wzycqKQtzU8wY85Re60wa1hCO9hYQQZN6FZcDSi1uERERiUyRxS2Jn58ftm/fjtTUVPlx7NgxjBgxQh5sXip2mZiYoH79+g+s89xzz8k/d+/e/UBXxT179qBp06bl/m8gIiot6Qb19yXPoqqbTYm6I/6+pAuqOJf9GEeGIBWXurSqmDGB+nW+NwkJkbEb9ZIfpowMKNmy/epi6qjGEMWLFXQsSkXDXk/r102NiIiIyp5ii1uPEhQUJI/VIM2CaG394DTRvXr1Qtu2beUi2HfffSd3Xezfv7+8jjRjIhGRSGr7OOCflb3wet/acnej4m7Shj7ni2OreqO+751u2aIY3b/8W5lJ84+M7Fen3D+X6EnMGBOItXM6oHHd4rvz1q3ugO+mtcGSj1o9MMmOsZNaTzWrX7ncP/elLtXliTeIiIjIuKiuuHXhwoViuyRKpIu6rVu34oUXXsAHH3yA3r17IyIiAjt37sQzzzxTAXtLRPRkPKrY4LuP2yJ670Asm9oadtZ3hlp0sDVD1N4B+GlmO1Rzt4VoerStCm+P8t3vnu2qwduj5F09iYxF/641cGrdc3Kx+5OxgbD9/xxwqWSBi1tewOsv1BGqsHVXRXSlFqX7NhERkdqwuPWQSpUqyWNzxcfHIzs7G8ePH8ezzz5bzntJRGRYlewtMOLFurC3vTNelK21GZwridv6QKs1wcL3W5bb50kt3758r1m5fR6RoUnFq+YNq+DDEQFw+P8ckFpviljUumtQj5poFVCl3D7v1d6+8n9DIiIiMj6KnC3xSYpbInP090aruaNgZmuF9Mh4HHxzIRxrV0WnVR8gJSQauwfMRFZiirxsnVefhd9r3VCgy0NBfgF29JiMvOxcNJkyBD7PtcKtC2HYP2wOjF1G2DlELB6O/MxUmFf2hs87vyDrehCuzugGS8868P14N8wqVUHC3h8Rt3Uesm4Ew2vYXLj2fvuB7dzcuQTxOxYCplpoNCao+8UxmJhbIvKnCbj19zpY13wKtT7YUmH/TiIqqlf7ahjcsyZWbg8p88/67M0m8PV2gMjZ/9Tkl+Hdvbmc9fm6PJyetRrRB84Vbse7R3MEjH/pTv9LAPuGfI60yHj4j+iJukOfhS49C1s7T4Co54GoXz5E8omt0Jjc6aLr1vd9OLUbULgdngfEnBn2pxnt0KjfZmRl55XpZ3lUsca8ic0h+vWfxMHXE712zcGVlXtwfOpy1WRA+PyhSDm7B1qHO91Z7Rt1htewLwq3wwwgIhKb6opb+/fvh1K1+XosDr+zGLeCwlFrwDNoOvUVXFv7p3xhc//FSNVnm6JG37bY0eMD5KZmwMLZHvm5dy4KT878BcmXb6BaNzFaKEgXKj7jfoJ1jQC5gBX503tw6ThMvpjx//ps4XLWNQNRY8J6xG74vMg2ko/9hlt/rULdOf/A1MYBubfjoTE1k9+TLnosq9VD8jFezBAZo/mTWuLYhXhcjbh34/Y4sQkZD/wsia6tvTBu0KNn0xUl++OOBePcvA3Iy8qRb4a7bZ6B9QEjoMvMhlP96njq/Zfxx4sfIzMuCVobSxTk58vrXfx2u/yFR7MZQyHyecD1+QnwHPKp/HtOYhSCxvjBPqATtPYuPA8IPrbg/EktMHLG4RKvo28OaLUa/PxJO6OdSbKkGSDRaE3R6otRiPj9+AOvqyED7ubAw19wSpgBRETiU123RKWSLkp0GVnyhY0kZP0BVO3SBCbmReuX9Uf3xrmvfpULW5LsxJTCCxiRZISegamVrXwxI3Hu8CpuH9+KAl1OkWWtqzeCVVU/aEyK/snHbv4CHgOmyRczEjOHytCYFh18m4iMj5ODBfYs61ri8beaDtyKqp3Xyj9Lou1Trtjw5TMwMdEIn/1R+8/IhS1JUvB1uXWGpbO9/LzeqF4IWrZNvqmVSC008jKLZqnI5wGtbaXC3/Mz04CCgsJzH88DYpO6XH82rkmJl9cnB0xNNVj1eXt0alExM7QaMgMkAe/2Q/i2o0gNjXngdTVkwOMwA4iIxKe6lltKZVutChzrVkPvPfeaV2utLGDtVnQGtEq+XnBuVBON3u0HUwszhPz6F4J/2AnRZMeFITPiAi6+fW+a8/zsDPkbeX1k3biI9GsnEb12Ogpys+Hc4RVU6TWuDPaYiMqCNMj738t7ouebu3Hu8i2Dbfe5DtWwelYHWFtpFZH99/Md0AFpEXFylyNJpdpeSLtxE103TYeZrTUi957C2bnrjf6LD33PAze3LcDNnYuRmxgJ77Hfy12VJDwPiG/y641gZ2OGd774BzpdgUG2KW1v5WdPo3cHbyghA1wa+6JyYG3s7j/jTvfD+6gnA+Yjce+PMK9cDR6DPiksijEDiIjEZ7xX7KS3+DNXsWfgJ4XPB/z7Q7HLSU3S7apVwR/PT4V5JRt03TQDqRFx8oWMaGx8m8N3+q7C5+eG6D8teEGeDjlxYajz2UHkpSfh8gdPw9ytBio17WngvSWisuLlZoPjq3tj5rKz+PyHc8jLK/3Nrb2tGb6e2AJDn/MVYrDtkmb/Xe5tGqDR+H7Y3X9m4WtSCwWpBcielz+V/83P/Pw+6rzaBZd++gNKOg9IN6vSQxqjJ2zeYNgHdIHW3pnnAYUYO9AfbRq7YuiUg09c6O7c0gPff9xWiNlkS5IBplbmaDHrdRx4/ctit6GGDPAY/CnMHN3lVvxJRzfLY3LVX3pVbvnFDCAiEh+7JSqE9A28jadL4XNpUFGttSUyYote3KVHJSB089/yt3HZt1IRte80Kgf6QjQWrjWQk3C98HleRgrystJh7qxf1wHp2zvHdgPlCztp7BWHwO5Iv/xPGewxEZUlczNTzBwbiOOreqNvRx+5O5E+bKy0GPFiHQRtegHD+tQWorClT/ZLXFv6o/XXo7HvlVnyeDz3nxcidhyTuy1KY3Bd33lMbuGh1POA1FXd3MkTqf8ekJ/zPKAcAXWd5UK3NLtpdU87vddvVMcJKz5th13fdBWisFXSDLDzdoOtpwu6bvwYLx5fAv/hPeTxudrMH6uaDJBeuzs8hWPL52FqZY+sqMt33mMGEBEJj8UthZDGWpAGhXdv11B+Ls1qE/bbYeTn6IosKxW2PDvcaYZtamkOt1b1cCsoAqKRmpJLg31KM99I4ncugVOb/tBo70xxXlJO7V5Gyuk730zmZ2fKNzvSjQ8RiekpfxdsnNcR4b/3x7RRjdEu0A221ncGBn5YZUdLecD4Be+3QNTegVg2tY3cCkyJ2e/awg9tF76J/UPnIOnig5kfuvkQPJ9uJI/DpTE1gcfTjQrH8FHKeSDz+sXC37NjQuSxeiyr+svPeR5QXqH73Vca4Or2F7FjcRe83L0mfL3vjC/3MKkI3sDXEa/3rY3DK3rizPo+GNJLjFab+mRA8qXrWFv/NWxoNlp+XPxuB66t3Y+/31qkmgzISYgs/D3t8j/QpSbC0r2W/JwZQEQkPnZLVJCDY+ajzddjYD5rOFLDY3Fw7AI41qlWZLmLy7ah5ZyR6PPXPGk8XUTs+AcR249CRNXfXYXwBcNwfekbsHCvhervrkRmxL9FlkvYtxzRqz5CXlqSPNtN3Ja5qPXRNljXaAzX595FxJKRCBrjL1/UObZ8AY6t+1XIv4eIDEcqUn08+il8LN2s5Bfg2vUU3LyViZzcfFhamKKqmw28XG2EuYl90uxv/eVomJqboc280ffWfXOhfNMbtuUwnBvUuHNeyMuXZ1YM/n6nos4DUT9PlMfn0WjNoDHRotrIRfJEIxKeB5TJ1NQE3dtWlR+S26k5uBx+GxlZOul/M+yszeBXoxKsLLWqyIDHUUMGSLMq5t6Og8bEFCbmVqg58dfCAeSZAURE4hP7bE4PkG5Qtned9J/L5WXnFn5TJzornwbw++rkfy7n0nGo/CiOibklqr/9cxnsHREZC2m2w9o+DvJDrdm/qfWbj36zoAAnZ6yQH0o9D9Sasv2R7/E8oA4OduZo1kD/sTmVkgH3O/vletVlQO2Zex/5HjOAiEh87JaocHm5Olg42smz6Nyd8v1xmkwZggZvPo/s5DSISmqKrktJlGfOyU2++UTbivxpAmI3fA6tjaPB9o+IyNiy/3H8R/SUB6LOupUKUfA8QGrHDGAGEBGpjaagQOqYRsYmNyMLq2oOhigGhayEmbWlwbaXqQPaitEavtCh7oAV20KSkfPqtAZRNzPgWUWa6n1gRe8OKeg8YOhzAc8DZYc5IAa1Z4CEOUBERCXFlltERERERERERCQsFreIiIiIiIiIiEhY7JZopKT/LbrMbIhCa2Vh0BnHpL/KrDwIxdJUnmCHyKixO5I4RDsPGPpcwPNA2WEOiEHtGSBhDhARUUmxR7iRki4MDDlmgWikiwKOV0BEasbzAM8DpG5qzwAJc4CIiEqK3RKJiIiIiIiIiEhYLG4REREREREREZGwWNwiIiIiIiIiIiJhsbhFRERERERERETCYnGLiIiIiIiIiIiExeIWEREREREREREJi8UtIiIiIiIiIiISFotbREREREREREQkLBa3iIiIiIiIiIhIWCxuERERERERERGRsFjcIiIiIiIiIiIiYbG4RUREREREREREwmJxi4iIiIiIiIiIhMXiFhERERERERERCYvFLSIiIiIiIiIiEhaLW0REREREREREJCwWt4iIiIiIiIiISFgsbhERERERERERkbC0Fb0DVLyCggLoMrMhCq2VBTQajcG2V1AAZOVBKJamgAH/ExCpmmgZKGEOMgfJsNSeA8wAIiKikmNxy0hJF3Orag6GKAaFrISZtaXBtiddzLXdCaEc6g5Y8YgiUmUGSpiDzEEyLLXnADOAiIio5NgtkYiIiIiIiIiIhMXiFhERERERERERCYvFLSIiIiIiIiIiEhaLW0REREREREREJCwO+UhEpHA5uXn492oSgkKSkJaRK7+WkanDyaB4NPB1goW5aUXvIhGVsbjETJy6mICouPTCHMjM1snPPapYG3SmTyIiIqLyxuIWEZECpabnYOX2EPy89SrOXEpETm7+A+8npeag6cCtMNOaoFEdJwzpWQuv9KqFSvYWFbbPRGRYpy8mYMm6YPxxOBJRNzOKvH/rdg68Oq+Fq7MVOjb3wBsv1UXrxq4sdBEREZFwWNwiIlKQlLQcTFtyGt9vulLYOuNxcnX5OBmUID8mzz+JYX188cnYQBa5iAR24EQM3v/6BI5diC9xq67VO0PkR8PaTpg55in07uBd5vtJREREZCgsbimIW8t66Lpp+gOv5aZnIiU0BiEbDiL4h50oyHuw9YaSpF44gCsfdXjgNRNLG1h41IZz+yGo0vNNaEz5J0/KtfefKLw27RCux6SXav2MLB0Wrw3G5v0R+G5aG3RvWxWiYQ4yB9VMKmhPmndCbq1VWuev3MJzb+3F4J41MX9SSzg5iFfoZg4wB4iISH14ZlOg0E2HELn/NKDRwKpyJdTq9zSaTR8KB19PHJ2wDErn2G4gHAK7AwUFyE2KReKBFYj88V1kRQbDe8y3Fb17RAZXUFCAGd+cwcdLzxhke9E3M9BjzG5MHNYAs95uKmQXJeYgc1BtIqJT0WXkLlyJuG2Q7Undmv88HoNd33RFvVqOEBFzgDlARETqwdkSFSjxQhhCNx5C6IaDCFq6FTt6fID0qATUfrkjLJztoXTWNZ6Cc/vBcO4wBG59J6DunH9g5uyFhD3fI/d2ybpoEIlE6k5oqMLW/eb8dAHjZv0jF89EwxxkDqpJeFQq2ry6w2CFrbukcbraDduBf6/egoiYA8wBIiJSDxa3VECXmY3401ehMTGBvbcr1MbU0gY2dVrI31xmx4ZU9O4QGdTC1UGY/eP5Mtv+ojUXMeuHstt+eWEOMgeVPM5el1F/IDKudN2R/8ut29noMmoXYhOKDkgvGuYAc4CIiJSLxS2VsPO5cxGXnZwGNbp7Eae1daroXSEymEthyZjw1Qm91jmxpjdu7Bkg/yypqUtO4eylRIiOOcgcVKL3vjyOqxEpZZoDMfEZGDXzsJCtOB/GHGAOEBGRMnHMLQXSWpnDwsmucIyJOq90gXODGvK3ldJgqkqXn50BXUqCfBGuS4pF/B/fIDP0DKx9m8HSs3ZF7x6RQeTl5WPYlIPIzsnTaz03F2t4udrotY5OV4ChUw7i+OreMDczhQiYg8xBNdh9JBLfbbys93qlyYHf/ryONTtD8XKPmhAFc4A5QERE6qGK4lZCQgLmzJmDTZs2ITIyEpUrV0bfvn3x2WefYdy4cfjxxx+xcOFCjB07FkrQeOIA+XG/8B3/4Njk76EGMWumyY/7VWrZF9VGLq6wfaKKlZObh017w7Hj0A3cTs2FtZUpAv1cMKxPbbg4WkJEG/aE45/z5TdmyrnLt+QBpv/3vBg3RMxB5uDDQiNT8P3GK/K4VLq8fFRxskL/Z2vgmebuQk6aIBUs9G25+aQmzjuOl56tDq1WjIb/zAHmABERqYfii1tnz55Ft27dEBsbCxsbG/j7+yM6OhoLFixASEgIbt26M0hqQEAAlOLyL7sRvu0oTMy0cKxbDfXH9IGNuzPysnMKl3l66TuAiQZ/jfyq8DXzSrboc2AeTs5YIc8wJCqXZ0fAsVU/FOTlIjPiAmI3zUZOQiQ0ZveKGKlBh3BtRrci6xboclCQn4fAzfq1hiHjvflbsCoIn/9wHnGJmQ+8t+6PMExZfBqDe9TE15NawNbaDCJZsi643D9z8dqLGNbHV4hCAHOQOXj/LIKjPz2C3/+OlIYaeoDU6qmOjwPmvNMUvTt4QyRHzt7E+SvlO9C7NMD8tr+u4/mOPhABc4A5QERE6iHGV29P0GKrV69ecmFr/PjxiImJwenTp+Xns2fPxo4dO3DixAn5Rq1hw4ZQipTQWMQcuoCo/Wfw75LfsO/VWXAJqImWs0cWLnN08neo0rQOqvdpXfhai89ex83jl4S+kJNYuPvCPqATHAK7wa3vRNT6cBsyrp3A9aWjCpexq9cWjdelPfCot+QKtHYu8Hh5ZoXuPxmusPXW7H/w9pxjRQpbd0ld+n7YfAXt/7cTt1Pv3ewYO2nmsoOnYsv9c08HJ+L4BTFm2GIOMgclV8Jvo8Xgbdh5qGhh667L4bfR5+29+GGT/t371FbglixeWzGfWxrMAeYAERGph6KLW1KXQ6kbotTdcO7cubCzsyt8b+LEiWjUqBF0Oh18fHxgb6/cKaHjT15GyIaD8oVb5SZ15NdyktNwZPxSNP/0dVi5OsK7Rwu4taqHo5OWQWls/VrBqf0QJP29DmnBR4pdJj83G6Gz+sLWvw3c+31Q7vtIZXMDtnD1xRIte+piAl5+/0+IQupeqcbPfhLMQfXlYEamDt1GS7P8FV/cvp9U+Bo58zAOnowRpnhfUcfinydikJ6RCxExB9SXA0REpB6KLW4FBwdj3bp1cHFxweeff17sMoGBgfJPqch1V/v27eWWXMU9Ro26902XaM7N24B8XR4aT+hf+FrUn2cRvu0I2i0ahxazhssXd9lJypw9yL3/FMDEFNGrpxb7/vUlo5CfmwWft5aX+76R4eXm5uPzH87ptY7UsuNMcAJEcOpixc1cKBUCRcUcVFcOrvk9BKGRqSVePi+vALN+PA8RhNxIrbDWpvn5BThXzt0hDYk5oK4cICIi9VBscWvNmjXIz8/HoEGDYGtrW+wyVlZWRYpbS5YswdGjRx94fPTRR/J7PXv2hKhSw2MR9ttheLRriCrN/QpfPzl9Beyqu8lN9iP3nYZSWbrXglPbAUg9v08eX+J+N7ctwO2T21Fz8haYWFhX2D6S4Ww9EIHomxl6r7d0/SWIoCILTFJhTWo1IiLmoHpyUPobLU33uT8ORyLkRgqMXUUXmSv6858Ec0A9OUBEROqi2OLW/v375Z8dOnR45DJSl8WHi1vSgPMtWrR44CENSi/NsNi1a1eI7Pz8jcjPe/DbSl1mNtIibiIp+DqUzq3fh4CJyQPfVqae/xORKyahxsRfYeEqxgC5VLIb1NKQBpwWwfXYimtRII1fptOJWdySMAfVkYMJSVk4c0n/Fo5S3Xb3kSgYu+sxFduq6HpMOkTGHFBHDhARkbpoCkT9Cv4/VK1aVS5enTlzptiZEKWxttzd3eVB56VZE2vUqFHsduLj4+Hh4YHRo0dj/vz5pdqXJk2ayIPY68OswATT8puhPHTdOB039pxC0DdbS72N6SbHkavJN9g+acyt4Pr1VZSl7LhwXHqvKdwHTEOVHmOfeHtxb/uiIOe/x3ahsnfLph8yLerrvZ6mIBseSZ/BmBVAg2injx/5/ok1veHm8uhv3N1crKA1NYEuL/+xYxHFJmSg6cDiM8H91qcwQdl2iSrPDJQwB5WVgzoTJ8RVeqtU69pn7IFd1t8wZimW7ZBq3bFUGWCIHLDJOoZKGTtR1tSeA+WRAYbOAWPJACIiEpObmxtOnjxZqnW1UKj09DvfKmZmFn+Clcbjkgpb0iDz1atXf2z3RqkQNmTIkFLvi1TYiorS75tgc40p4AphRMdEI6fAcNNFS83hy/Kfn5+dgZDP+8ChWW+D3NBJoqOj5e2SEfC6DVjov1qBLlPvY7VCOOYBUkYUQ7qp9XK1+c9NSDe2JVmuODHRN6T/WChLomWghDloRDmoTQMqlW7VlOR4pCQaeQ64JAGPqF+VNAOeJAfSU28jPbbs/xupPQfKOgPKIgeMJgOIiEh1tEqu+CUlJeH06dNo2bLlA+/FxMRgwoQJ8u8NGzaUB4t/lF9++QV+fn5y66sn2ZfSfFsJwzUAKHMe7h4Gb7FQlpKObERm2DlkRV2RZw16WL1FF2FeuZpe25Ra+PHbSuOQZp6E26VYz7IgFs6enjB2MQUZyNfcm/314ZYWhmqxURxNQRbcPVzx6NQ0DNEyUMIcNJ4clFo4xuUlI89UjwqX1JBdo0FlmzSYWxp3DqSba5H8iPf+KwMMkQP2NhrYlUNWqj0HyjoDyiIHjCUDiIhITKWpnSi+W+K4ceOwcOFCuXvi3r17Ubt2bfn1EydOyK2wQkNDkZubizFjxmDRokXFbuPSpUtyYeuzzz7D5MmTy3X/czOysKrmYIhiUMhKmFlbGmx7mTqgbdn3eDCoQ90BK8WWi8WSkpYDz05rkJahX+ui35c8i65tvGDseozZJc/uWBo39gyQW2pExqWjaue1eq//dBM3HPixB8qaaBkoYQ4aVw5+9t1ZfLjwlF7rPOXnjJNrn3vsl17G4NzlRAT021Lq9Z80B3Yv64rOLcu+uKX2HGAGEBERlZxiB5SfOHEinJ2dcePGDdSrVw8NGjSAr68vmjVrJo+v9cwzzxQZTL64VlvSBa404yIRicPe1hyvPV9Hr3X8alRCl1bG3VrjrkB/F1V+NpE+XutbB7bW+t1lvz24ntEXtiT+NRxhYV581+TyIBUBiYiIiIyJYotbXl5eOHToEHr06AFLS0uEh4fDyckJy5Ytw44dO3DlypXHFrekBm2rVq1C+/btUa2aft0yiKjizXq7CdoFlqxZq4ujJbZ83QkmJsZ/Uyvp0NRdlZ9NpA9XZyus/+IZaE1Ldly/8VJdDO5ZCyIwMzNB26cqZjCqhrWd4FzJcC0UiYiIiAxBscUtidSlcPv27UhNTZUfx44dw4gRI+TB5qVil4mJCerXL35GtYMHDyIiIuKJBpInoopjaaGVuxn27/roCSMk9WpWwuGfe6K2jwNE0b6pO+pUwP5Wc7dBNwG6bRLd1a1tVfyxtKtc6HoUM60JPhoRgEUftBKi1dZdo/rVVdXnEhEREam2uPUoQUFBcsssqZuitbX1I7skWllZ4cUXXyz3/SMiw7C20mLtnGdw6bcX5O5Gvt72uNs4y9LCFHu/7YYLm/oKVdiSSDfgo/v7lfvnjurnB1NTVZ42SGAdW3jg+u7+WDunA55p5g7T/w8BqUXXp28GyuNPzRwbKEzLzbt6t/eGR5VHTJlYRmytzTC4Z81y/UwiIiKiklDlXcqFCxce2yUxKysLGzZsQJ8+fWBnV/yMZEQkjjrVK2HexBa4sq0f3CvfuRl0drCQb3pFaqlxv2F9fFHVzabcPk9q+TKSLTZIUOZmpujftQb2fd9dninw7t/0B8MDHtuqy9i7Jn40PKBcP3P8K/VhZ2Nerp9JREREVBIsbhVDGqMrOTkZq1evLuc9IyIqGekG8/uP25Tb530zpRWcHCzK7fOI6L9JBWepm3J5aFTHCR8Mf/QkPEREREQVSZWT9f5XcUtUjv7eaDV3FMxsrZAeGY+Dby6EY+2q6LTqA6SERGP3gJnISkxBhx8nwK5qlQfW2z9sDm7sPgn/ET1Rd+iz0KVnYWvnCTB2GWHnELF4OPIzU2Fe2Rs+7/yCrOtBuDqjGyw968D3490wq1QFCXt/RNzWeci6EQyvYXPh2vvtwm2EfPY8sm+GFT7PDD+PmpO3oFLz3oj7bR7idy6GiZUt/L8+W0H/SqLidWnlJd/cLvv1UonXiU3IeOBnSQzqURN9nvGByLn31OSX4d29OfKyc5Gvy8PpWasRfeCcvI3mn70O16b3Ztd0qOWJk5+sRPAPO+HTuxUCxveDtasTVtd9FSLnYNQvHyL5xFZoTO7MsufW9304tRsg/84cFJPUlfLH6W3RqN9mpKbnllkOmJuZYPnMdnILOJFz4C4HX0/02jUHV1buwfGpy4XPgZJmQPj8oUg5uwdah8ryevaNOsNr2Bfy78wAIiISnSqLW/v374cStfl6LA6/sxi3gsJRa8AzaDr1FVxb+6d8YXd/oerP/925kJE4N6qJzqs/RNSfdy5WLn67HbcuhKHZjKEQgXSh5jPuJ1jXCJALWJE/vQeXjsPki7n7L8CsawaixoT1iN3weZFt1Pxgc+Hv6VdP4ur0rrB/qqv83PW5d2BdozFu/HCvGEZkTBa83wIR0Wn443BkiZZvOnCrXtt/uokbvptWfi3Eyir34o4F49y8DcjLypFvhLttnoH1ASOgy8zGsQ++L1zOqnIlvHBsMcK3HpGfSz8TTl9F771zIXoOuj4/AZ5DPpV/z0mMQtAYP9gHdILW3oU5KLDqXnbYuqAzur6xC9k5eQbPAamAJo1XFlDXGaLngESjNUWrL0Yh4vfjD7wucg6UNAPu5sD9X/DdxQwgIiLRqbJbohI51a8OXUaWfGEnCVl/AFW7NIGJ+ePrl74Dn0HoxoPIz9VBNBmhZ2BqZStfzEmcO7yK28e3okCXU2RZ6+qNYFXVDxqTx//JJ+z9Ac7tB8PEjGOKkBiklhSb5nVEz3ZVDb7tzi09sH1RF1hZaoXPvaj9Z+TCliQp+Lo0Kj8sne2LLFfzpfaI/uscMuOTobQc1NpWKvw9PzMNKChAQX5+keWYg+KRuibuXNwFNlaGPValFlu/zn0Gz3c0zpabpbn+CXi3H8K3HUVqaMwjtylSDuiTASXFDCAiIhEZ5x0L6c22WhU41q2G3nvutcrSWlnA2s3pkeuYWpqjRp822NlnCkSUHReGzIgLuPj2vQF187Mz5BYJpZGfnYmkQ2tQ57NDBtxLorInFZ82f90Js388j+nfnEGurmjBQh+mphp88HojfDQiwGi7IZU29yS+AzogLSIOaZHxxb53YsYKKDUHb25bgJs7FyM3MRLeY7+Xuyrdjzkormeae+DEmucw9KODOP5v0b9tffnXrISfP2mHJvXudGFTQg64NPZF5cDa2N1/BgLGv/TIbYqUA/pnwHwk7v0R5pWrwWPQJ4VFsXvrMgOIiEhMLG4pSPyZq9gz8JPC5wP+/eGxy3v3bIHbodFIvnQdorLxbQ7f6bsKn58bUvqL8KQjG2DhURtWPg0MtHdE5UerNcGHIwLQu301jJjxN/45X7qb26f8nOVuiE/5u0CJuefepgEaje+H3f1nFnmvSnM/ecyeqH1noNQcrNJrnPyQxugJmzcY9gFdoLW/192MOSg2vxqVcHhFT3y54gI++fYc0jJKPg7XXZYWpnhncH1Me6MxLMyNt7itbw6YWpmjxazXceD1Lx+7LRFzoKQZ4DH4U5g5usut2JOObpbH5Kq/9Krc8usuZgAREYmKxS2FkFoh2HjeuxmVLsy01pbIiL31yHVqD+yIq2vEHX/MwrUGchLuFebyMlKQl5UOc2fPUjfDd+n0mgH3kKj8NajthCO/9MLxC/FYsi4Y63aF/ec4PGZaE/TrUh2j+/uhVUAVaDQaKDH3XFv6o/XXo7HvlVnyWDwPqz3wGVz79UCxXfWUloNSV21zJ0+k/nsAjq1eKHydOaiMQvek/zWSj+eV20PkHPj3WtJ/rlezqh3eeMkPQ5/zhXMlS4iipDlg5+0GW08XdN34sfzc3N4GMNHA3MEWf7+1SNgc0CcD7n/NseXziFrxPrKiLsOmVmDh68wAIiISFYtbCiGNNZGfmwf3dg0Rc/C8PONh2G+HkZ9T/Fhadj5ucG5UA/tenQVRSU3pNaZm8sw/9gGdEb9zCZza9IdGq/8YEVkx15Bx7SRqfajfYNtExkgqTjVvWEV+LJvaGuevJOHUxQT5BldqyVFQAHlsnvq+jgj0c0GjOk5GO66WoXLPtYUf2i58E/uHzkHSxYgi70s3xFJrVhFmiS1tDmZevwirav7y79kxIfJYPZZV7zyXMAeVxc7GHG/098Ool+oi+mYGTl5MkHMg6maGXPCWxtNyc7ZGoL8zAv1d4O1hK0xhuzQ5ILVSX1v/XtFG6pZo7mBdOFuiqDmgTwbkJETC3MVL/j3t8j/QpSbC0r1W4fvMACIiEpl4dzP0SAfHzEebr8fAfNZwpIbH4uDYBXCsU+2RA8lH7DiG3LRMiKz6u6sQvmAYri99AxbutVD93ZXIjPi3yHIJ+5YjetVHyEtLQvKxLYjbMhe1Ptomz/4jkcafqNTyBZhaFx1gmkhklhZaNGtQWX6oOfdafzkapuZmaDNv9L1131xY2C27ep/WSDwfitSwWCg1B6N+niiPz6PRmkFjokW1kYvkiTbuYg4qk1Sw8nS1kR/PdfCG2q9/HkfUHChpBkizKubejoPGxBQm5laoOfFXmNo4FL7PDCAiIpGxuKUg0k3a9q6TSrTs6c9XQwmkMSH8vjr5n8u5dBwqPx7Fc8hnBt4zIjKm3NvU+s3Hvn9l5V75oeQcrDVl+2PfZw6SGq5/7jr75XrF5EBJM6D2zMf/25gBREQkMpOK3gEqW3m5Olg42smzCBU37f3D/Ef0lAdczbqVClFJTfF1KYnyzEG5yTefaFtxv83D9W9GQ2snxuDaRKR/7j2OT+9W6LjifWTGJ0MkzEFSO7XnADOAiIjURlNQII2+QsYmNyMLq2oOhigGhayEmbXhBqDN1AFtd0Ioh7oDVmwLafS8Oq2Rx5zxrGKNyL0DK3p3SCEZKGEOipGDzABxqD0HmAFEREQlx5ZbREREREREREQkLBa3iIiIiIiIiIhIWOyWaKSk/y26zGyIQmtlYdApxKW/yqw8CMXSVJqVqqL3gv4LuySJQbQMlDAHxchBZoA41J4DzAAiIqKSY694IyVdGBly7BbRSBdGHLOBSL3UnoES5iCpndpzgBlARERUcuyWSEREREREREREwmJxi4iIiIiIiIiIhMXiFhERERERERERCYvFLSIiIiIiIiIiEhaLW0REREREREREJCwWt4iIiIiIiIiISFgsbhERERERERERkbBY3CIiIiIiIiIiImGxuEVERERERERERMJicYuIiIiIiIiIiITF4hYREREREREREQmLxS0iIiIiIiIiIhIWi1tERERERERERCQsFreIiIiIiIiIiEhYLG4REREREREREZGwWNwiIiIiIiIiIiJhsbhFRERERERERETC0lb0DlDxCgoKoMvMhii0VhbQaDQG215BAZCVB6FYmgIG/E9AKidaBhg6B5gBROLlAK8FmANEREQVhcUtIyVdzK6qORiiGBSyEmbWlgbbnnQx23YnhHKoO2DFI4pUmgGGzgFmAJF4OcBrAeYAERFRRWG3RCIiIiIiIiIiEhaLW0REREREREREJCwWt4iIiIiIiIiISFgsbhERERERERERkbBY3CIi1cjLy0e+NP3W/89CRkTqIh33d499ZgARERGRcnA+FyJSrLOXErHtr+s4dTEBJ4MSEHUzo/C9mIRMdHhtJwL9nNG+qTu6tfGCqSnr/URKkpGpw6Z94ThyNg6nLibi/NVbyMrOk9+Ljs9E7V6/oom/C5rUc8GLnaujmrttRe8yEREREZUCi1tEpCg6XT7W/hGKJeuCcfTczUcuJzXaOHAiRn58ueJfVHO3wcgX62Jkv7pwrmS4qeyJqPyFRqZg4eqLWP7bVSSn5jxyuasRKfJjze+hmPDVCfRoWxVjB/qhc0tPaDSa8txlIiIiInoCLG4piFvLeui6afoDr+WmZyIlNAYhGw4i+IedKMjLh1KlXjiAKx91eOA1E0sbWHjUhnP7IajS801oTPknr2QXQ5IwdMpBnPg3Qe91r8ek48OFp/D1yiAs/agVXuhcHSJiDjAH1N71eN4vQfho0Slk59xpoVVS+fkFcktP6fFCJx8s+bAVqjhbQTRqzwAJc4CIiEh9eGZXoNBNhxC5/zSg0cCqciXU6vc0mk0fCgdfTxydsAxK59huIBwCu8tNc3KTYpF4YAUif3wXWZHB8B7zbUXvHpWR+Sv/xcR5J5CT+2Q3bfFJWXhx/H4M7FYD33/cFtZWYsYkc4A5oDaRsel4acL+x7bYLKmNe8Px16lY/PxJO3RvWxUiUnsGSJgDRERE6sEBZhQo8UIYQjceQuiGgwhauhU7enyA9KgE1H65Iyyc7aF01jWegnP7wXDuMARufSeg7px/YObshYQ93yP3dnxF7x4ZmDQo9OT5J/D2nGNPXNi6n9RN6dlRfyA1/dFdmowZc4A5oCYhN1LQZuh2gxS27kpIykLvcXuwekcIRKT2DJAwB4iIiNSDxS0V0GVmI/70VWhMTGDv7Qq1MbW0gU2dFvI3t9mxYt6k0KPNXHYWs344Xybb/vtMHHqP24usbB1ExxxgDihV9M10dBr+OyKi0wy+7by8Agz58C9s2R8O0ak9AyTMASIiIuVicUsl7HzuXMhmJxv+4l8Edy9itbZOFb0rZED7j0Vj2pLTZfoZ0oDzHy89AyVgDjAHlNhyUxpnL7wMClv3j8X16kcHcSNW/ONG7RkgYQ4QEREpk5iDydBjaa3MYeFkVzjORp1XusC5QQ35G1tpQFmly8/OgC4lQb7p0SXFIv6Pb5AZegbWvs1g6Vm7onePDCQtIxevTTuk93on1vSGm4s1YhMy0HTg1hKt88XyC3j+GW80b1gFomAOMAfU4PuNl7HnaHSZZ0BKWi6Gf/w3fl/6rDCzKKo9AyTMASIiIvVQfHErISEBc+bMwaZNmxAZGYnKlSujb9+++OyzzzBu3Dj8+OOPWLhwIcaOHQulaDxxgPy4X/iOf3Bs8vdQg5g10+TH/Sq17ItqIxdDza7HpOFiSDKycnRwdrBEi4ZVYGYmbuPN6UvPlKq1hnRT6+Vqo3fLjeHT/8a5Dc8Lc2PLHGAOPEyny8exC/FISM6CudYEdatXQnUvO4gqMTkL4788Xi4ZINl1JArr/gjFgG41IQK1Z4CEOUBERKQeii5unT17Ft26dUNsbCxsbGzg7++P6OhoLFiwACEhIbh165a8XEBAAJTk8i+7Eb7tKEzMtHCsWw31x/SBjbsz8rLvDYz99NJ3ABMN/hr5VeFr5pVs0efAPJycsUKeZUlULs+OgGOrfijIy0VmxAXEbpqNnIRIaMwsC5dJDTqEazO6FVm3QJeDgvw8BG7Wbwp5Y/bH35FYtPYidh66IQ0zUsi9sjWG962D0QP84CrYdPfpGbn4btPlcv3MC1eT8OfxGDzT3AMiYA4wB+4fGH3p+mB8u+EyIuPSH3ivSytPjOnvh17tqwlTuL3rpy1XkZqeW66fOX9VkDDFLbVngIQ5QEREpB7iNtsoQYutXr16yYWt8ePHIyYmBqdPn5afz549Gzt27MCJEyfki/mGDRtCSVJCYxFz6AKi9p/Bv0t+w75XZ8EloCZazh5ZuMzRyd+hStM6qN6ndeFrLT57HTePXxL+YtbC3Rf2AZ3gENgNbn0notaH25Bx7QSuLx1VuIxdvbZovC7tgUe9JVegtXOBx8szoQRSN4x3v/gH3Ubvwo6DDxa2JDHxGZix7Aye6r8F5y4nQiSrd4bgdmr5z2K4ZF0wRMEcYA5IgkOTEThgC6YuPl2ksCXZfSQKz721F6M/OYK8PMPNNlrWpNaUUsGuvP1zPh6nLyZABGrPAAlzgIiISD0UW9ySuhxK3RCl7oZz586Fnd29rhcTJ05Eo0aNoNPp4OPjA3t7ZU+JHX/yMkI2HJQvXis3qSO/lpOchiPjl6L5p6/DytUR3j1awK1VPRydtAxKY+vXCk7thyDp73VICz5S7DL5udkIndUXtv5t4N7vAyjBlEWnMO+XoP9cLvpmBrqM/ANhkakQxS/br1XI5275MwIpaeVfVDME5oD6ciAyNh2dR/yO6zFFi1oP++bXSxg/V/8ufhXlyNk4hFZQZq3YVjH586TUngFqzQEiIiK1UGRxKzg4GOvWrYOLiws+//zzYpcJDAyUf0pFrvsdOnQIHTt2lNetVKkSWrRoIY/XJbpz8zYgX5eHxhP6F74W9edZhG87gnaLxqHFrOHyBW52kjJnUHLvPwUwMUX06qnFvn99ySjk52bB563lUIKQGyn49LtzJV7+5q0sfLjwJEQgtS45dbFiWprl5RXgzCWxWrndjzmgrhz4eOlpRN3M0KvL3YUrd7rrG7vj/8ZX2GefCKq4z35Sas8ANeYAERGRWiiyuLVmzRrk5+dj0KBBsLW1LXYZKyurIsWtc+fOoXPnzjA1NcXy5cvlAlnVqlXx4osvYvv27RBZangswn47DI92DVGluV/h6yenr4BddTe520LkvtNQKkv3WnBqOwCp5/fJ42vc7+a2Bbh9cjtqTt4CEwtrKME36y/pvc6GPeGIS8yEsbsUdhsZWboK+/yTQWJ0SSoOc0A9OZCUko3Vv4fovV5FdPUrjYoqcEukArc0OL+I1J4BassBIiIiNVFkcWv//v3yzw4dOjxyGanL4sPFLamYJY3BtWXLFvTs2RPPPvss1q5dKxe4Vq1aBdGdn78R+XkPfmOry8xGWsRNJAVfh9K59fsQMDF54Nva1PN/InLFJNSY+CssXH2gFMu3XtV7nVxdPtbs1P9muLwFhSSp+vOfFHNAHTmwYXcYMrP0Hwj7l+0hQoy9VZHHofTftTQztRoLtWeAmnKAiIhITTQF0qjTCiMVo6Ti1ZkzZ4qdCVEaa8vd3V0edF6aNbFGjRry6++99x6+++47JCcnPzBrVP369VGvXj25+FUaTZo0kQey14dZgQmm5TdDeei6cTpu7DmFoG+2lnob002OI1djuBsijbkVXL/Wv0Cjj+y4cFx6ryncB0xDlR5jn3h7cW/7oiCn4ls+FUCLaKcppVrXNvMIHDJ3wZilmzdGsm2fYt87saY33Fwe/227m4sVtKYm0OXlIzbh0f+/YhMy0HRg0WPCKvtfOKX/irJWnhlgjDlQHhlg6BwwlgyQpFh1QKpV+1Kt65Y0C6YFxvHveJRYh3HIM3UuVQ6UNAMelwOVby+FeZ5+5/XS4LUAc4CIiEhN3NzccPJk6YbL0UKB0tPvDJ6bmVn8xYVUpJIKW9Ig89WrVy98fciQIVi8eLE8u+KkSZOg1WqxbNkyXL16FUuWLCn1/kiFraioKL3WMdeYAq4QRnRMNHIKDDddttQdoCz/+fnZGQj5vA8cmvU2SGFLEh0dLW+3wmm0gFPpVk1LS0VarH5/q+XO0QcovrexfEPr5WpTos1IN7clXfZ+Uq7oezyXhmgZYOgcKOsMKIscMJoMkFRJBe70vtdbbEwMkPffg9BXKBsdYPpkOVDaDJDE34wDspgDol8LKD4HiIiIVESr1GpfUlISTp8+jZYtWz7wXkxMDCZMmCD/3rBhwwdaaEldFPft24e+ffti3rx58ms2Njb49ddf0a5duyfan9J8Wwvj7xlSyMPdw+Df1palpCMbkRl2DllRV+RZkx5Wb9FFmFeuptc2PTw8jObb2pj8NOSbPKIC9BgO1vmw9fSEMcs0s8atx7Sy+C/6tNwqjrWVKRzL4b+RaBlg6Bwo6wwoixwwpgxIt8hHcinW0xRkwd3NERpUgjG7aZqP3FLmgL4tt4rjWtkR2vyyb/guWg6Idi2g9BwgIiISTWlqJ4ruljhu3DgsXLhQ7p64d+9e1K5dW379xIkTcuus0NBQ5ObmYsyYMVi0aFHhelILrWeeeUbuyjh69Gh5YHlprC2puCUNKC+9V15yM7KwquZgiGJQyEqYWVsabHuZOqDtTgjlUHfAykjKxZPmHcecny7otY65mQlu7B6AKs5lfzPxJC6GJKHe86WfwfTGngFya43IuHRU7bxW7/W/fK8Z3n2lAcqaaBlg6BxgBjyZ5JRseHZaq/fkC2MG+GHRB61g7AZPPoBVO0IqJAOsLbVIOToEpqZlP2ypaDnAawHjygEiIiI1UeSA8hMnToSzszNu3Lghj5XVoEED+Pr6olmzZvL4WneLVPcPJi/54IMPYG1tjc2bN6Nbt27o0qULfv75ZzRv3lzuqkgkipH96uK+Rokl0q9LdaMvbEnq+DjApgLvHAL9XSrss4lKqpK9BQb1qKn3em+8dG8GPWNWkcdhQF2ncilsEREREVHJKfLqzMvLC4cOHUKPHj1gaWmJ8PBwODk5yeNn7dixA1euXCm2uHXhwgX5NWmsrYcHhA8OFmN6dCJJDS97TB3ZuMTLS910Pn0zECKQbior6sZWq9Wgcd3iB7EmMjYfv9EYVd1KPqbU+Ffqo14tR4igWf3KqvxsIiIiIiqeYhtO+/n5yV0JH5aWliYXu0xMTORZEB/u33n27Fl5NsX7C1xSd0ZPIx+HiOhh095ojKycPMz+8fxjl5O65/y+pAu8Pewgild61cLBU2U/U9nDnn/GB/a25uX+uUSl4VHFBnu/7Yaub+xCWFTqY5d982V/zHm3/GbnfFItG1VBzap2CLnx+H9XWXi1t2+5fyYRERERqbDl1uMEBQVBGmZM6qYodUG8nzQGlzTu1vPPPy8Xxn7//Xd5jK6//voLb731VoXtM1FpSJMlzHq7qXxz2+cZb5iYaIoUtWaOfQqn1z2H+r6lnF6xggzsVhOV7Mq/yDS6vxhdtojuqu3jgJNrn8Ost5vA26PoJBM921XF70uexfxJLYpkhDGT9rUiulBKRbUAtt4kIiIiMjqqK25JXQ+L65Io6devH7Zt24bk5GS8+uqrGDhwIC5fviwPKi8NUk8koo4tPLD56064vqs/nCtZyK9VdrRA2O8v4aMRjVHZyfjH2XqYtZVWHlesPDWq44Snm5R+9g6iiuLkYIFJ/2uEkB39cGxVbzg73MkBV2dLbFvUBV3beD0wc7AohvWpDXtbs3L9zLcH1yvXzyMiIiIilXdLLE1xS9KzZ0/5QaQ0nq42sDQ3lX83NzOFVit2bXvKiAD8ujsMoZFl3y3J1FSDH6a3FbIAQHT/eHXNGlSGpcWdHNAKPii6VLSbN6EFXpt2qFw+r0e7qvLEG0RERERkfFjcUhBHf2+0mjsKZrZWSI+Mx8E3F8KxdlV0WvUBUkKisXvATGQlpsCuuhtafTEKFg42MLU0x429p3Byxi9AQQH8R/RE3aHPQpeeha2dJ8DYZYSdQ8Ti4cjPTIV5ZW/4vPMLsq4H4eqMbrD0rAPfj3fDrFIVJOz9EXFb5yHrRjC8hs2Fa++3C7eRFX0VEYtHIC89Cfk5WXBo0gNeQ7+AxsQEcb/NQ/zOxTCxsoX/12cr9N9KD7KxNsOPM9qi/f/0myc+NiHjgZ8l8f7/GhrtLIklPe6fmvwyvLs3R152LvJ1eTg9azWiD5yTt2HhbI82X42GjVdlmJiZIuHMNRyd9C3ysnLg07sVAsb3g7WrE1bXfRWiZkDULx8i+cRWaEzuFHbc+r4Pp3YD5N+ZAeIa1scXG/aE4fe/I8s0AxzszLFsSmujLHCXNAPucvD1RK9dc3Bl5R4cn7pc+AzQJwfC5w9Fytk90DrcmRTAvlFneA37Qv6dOUBERCQ21RW39u/fD6Vq8/VYHH5nMW4FhaPWgGfQdOoruLb2T/ni9v5ClfT69d+PI/iHnTC1MEPP32chpsMFRO0/g4vfbsetC2FoNmMoRCBdqPqM+wnWNQLkAlbkT+/BpeMw+WL2/gtQ65qBqDFhPWI3fF5kG5HLJ8CxxfOo0mucfEEb/F5TpJzuCIcm3eH63DuwrtEYN364Vwwj4/F0E3d8Nq4JPlhwssTrNB24Va/P6NTCA1P0mHnSWI/7uGPBODdvg3yzKt0Md9s8A+sDRkCXmY1Gb/VFSlgM9r06S76R67RyMmr174DLP+9C+NYjSDh9Fb33zoXIGeD6/AR4DvlU/j0nMQpBY/xgH9AJWnsXZoDApGKTVORu8+r2Eg8ur28GSC03V372tNz6VeQMkGi0pvKXWxG/H3/gdZEzQJ8cuJsF93/BdRdzgIiISGxi90mgQk71q0OXkSVf3EpC1h9A1S5NYGJetH4pDahvZn9nMH2p5ZaJmRaZN5MhmozQMzC1spUvZiXOHV7F7eNbUaDLKbKsdfVGsKrqJ1+0P0wDDfIybsu/5+dkokCXCzMn93L4F5AhvP9aQ3w04s7fgKFJY2xJ45VZ/H93TpGPe6l4LRW2JEnB16WqACyd7eXnBQWQW31Ir0nrmlpZICMmEUrKAK1tpcLf8zPT5H90QX6+/JwZIDY3F2t54ozqnoaf8VWr1WD1rPbo+XQ1iJ4BkoB3+yF821GkhsY88LqoGaBvDjwOc4CIiEhsqmu5pVS21arAsW419N5zp3m9RGtlAWu3orPgHZ/6Ezr+PBl1X+kCcwcbnPt6I279GwbRZMeFITPiAi6+fa+wkZ+dIbfK0IfX618j5JNeiP99KXTpSXB/aYr8DS2J03Jj5thAuLlY4b0vjyMrO88g2x3SsxaWTW0NK0utIo77+/kO6IC0iDikRcbLz6UWXR2+fw/9z38PraU5Qjcfwo3dJW8NJ0oG3Ny2ADd3LkZuYiS8x34vd1OSMAPE5+Nph79/7oEBE//EodNxBtlmFSdLrPj0aTzb2gtKyACXxr6oHFgbu/vPQMD4lx54T9QMKF0OzEfi3h9hXrkaPAZ9UlgUYw4QERGJzXjv2khv8WeuYs/ATwqfD/j3h2KXq/tqV4Rt+RsXFm6WW248u3E6Es5eQ8zB8xCNjW9z+E7fVfj83JA742joI/73JXBsNxDuL05GbvJNXPmoA2x8m8I+oLOB95bK0pgB/ujU3APDph7C0XM3S70dqUgmja3Tu4M3lHTc3+XepgEaje+H3f1nFr5W/bnWSL4Sid0vzYCplTk6/vw+fF/uiKur90FJGSB1N5Ie0vg8YfMGwz6gC7T2zswAhfCoYoMDP/bAwtVBmLzgJDKzSl/oHtitBhZObgnnSpZQQgZIx3WLWa/jwOtfFrsNkTNAnxzwGPwpzBzd5VbcSUc3y2Ny1V96VW75xRwgIiISG7slKoTUCsPG896A11L3Aq21JTJibxVZtu6wZ3Ft/QH5d2mQ2ah9p+HWSrzpzS1cayAn4Xrh87yMFORlpcPc2VOv7UiDxErdGCRSSw6HwO5IvXDnvw+JpU71Sji0vAfWzumAdoFueq0rdWma805TXNzygjCFLX2Oe4lrS3+0/no09r0ySx6P5y5pEonQTYfkbnrSZBIR2/+BW+v6UGoGSN2UzZ08kfrvneOcGaAcJiYavDW4PoK3vICJwxrAuZKFXmNrvdDJB3/+0B2rZ3cQorBV0gyw83aDracLum78GC8eXwL/4T3k8bnazB8rdAbomwPSa3eHJ3Bs+TxMreyRFXVZfs4cICIiEhuLWwohjbeRn5sH93YNCy9Uw347jPwcXZFlUyNuwrND48LuC9IFbPKlexeGopC6EmhMzeSZjyTxO5fAqU1/aLTmel8Yp5z5Q/5duiBOvfAnrLzFuKinokxNTdC/aw389VMPXNj4PD5/qwle7OwjF6+kG9+7XBwt0aWVpzxm1x9Ln8W1Hf0wYVhDONqX/GZYpOPetYUf2i58E/uHzkHSxYgH3kuNiINnh4DCAac92jcSIhP0yYDM6xcLf8+OCZHH6bGs6i8/ZwYoj7eHHWa/0wyRewbIxe63BtVDm8ausLMxK1zGTGuCejUr4ZVetTB/UgtE/NEfG77qiPZN3RWXAdLxvLb+a9jQbLT8uPjdDlxbux9/v7VI6AzQNwdyEu7Nqpl2+R/oUhNh6V5Lfs4cICIiEhu7JSrIwTHz0ebrMTCfNRyp4bE4OHYBHOsUHQRXupht/ulr8H+9uzxw7I1dJxG25TBEVP3dVQhfMAzXl74BC/daqP7uSmRG/FtkuYR9yxG96iPkpSUh+dgWxG2Zi1ofbZPH0/B5+2dcXzZWHodDGoDWoVlvOLYdUCH/HjKs+r5O8uP+yRR0ugJ5kGhprC41HfetvxwNU3MztJk3+t66by6Ub2CPT/kJLeeMwHP7v4TG1AQ3T16RZ05VUgZE/TxRHptHozWDxkSLaiMXyZNMSJgBymVpoZWL3dLjrvz8Avmh1ZqoKgMeR+QM0CcHpFkVc2/HQWNiChNzK9Sc+CtMbRzk95gDREREYmNxS0Gkm9TtXSf953LS4PG/P/cRlMDKpwH8vvrvQW9dOg6VH8WRClx1Z4tZ3CP9SAUtMzNlFLX0Pe43tX7zke+l3bj5wJg9SsyAWlMefaPODFAXqQXn/a041ZIB9zv75XrFZIA+OVB75t5HvsccICIiEpsyvrakR8rL1cHC0U6eSUkaPP6/+I/oKQ86m3UrFaKSuiLoUhLlmZOkQWGfRNxv83D9m9HQ2t0b04RIacf94/j0boWOK95HZnwyRMEMILVTewZImANERETqoimQ+umQ0cnNyMKqmoMhikEhK2FmbbjBdzN1QNudEMqh7oCVkbeF9Oq0BlE3M+BZxRqRewdW9O6QgjLA0DnADCg7zAFxiJYDvBYQJweIiIiUhi23iIiIiIiIiIhIWCxuERERERERERGRsNgt0UjJs7plZkMUWisLg84+J/1VZuVBKJam0oDlMGrsjiQO0TLA0DnADCg7zAFxiJYDvBYQJweIiIiUhqMCGPOsbgYct0I00oUhx6wgNWMGMAOImAPMASIiIioZdkskIiIiIiIiIiJhsbhFRERERERERETCYnGLiIiIiIiIiIiExeIWEREREREREREJi8UtIiIiIiIiIiISFotbREREREREREQkLBa3iIiIiIiIiIhIWCxuERERERERERGRsFjcIiIiIiIiIiIiYbG4RUREREREREREwmJxi4iIiIiIiIiIhMXiFhERERERERERCYvFLSIiIiIiIiIiEhaLW0REREREREREJCwWt4iIiIiIiIiISFgsbhERERERERERkbBY3CIiIiIiIiIiImFpK3oHqHgFBQXQZWZDFForC2g0GoNtr6AAyMqDUCxNAQP+J1A90Y4BQx8HPAZI7dSeASLmADOAiIiIKgqLW0ZKuqBfVXMwRDEoZCXMrC0Ntj3pYr7tTgjlUHfAikeUao8BQx8HPAZI7dSeASLmADOAiIiIKgq7JRIRERERERERkbBY3CIiIiIiIiIiImGxuEVERERERERERMJicYuIiIiIiIiIiITF4hYREREREREREQmLc9oQKVhubj4uhibh1MVEnLmUiFu3s+XXk1KyMXPZGQT6u8gPV2erit5VIioj8bcy5Qw4dTEB126kFOZAcmoOvttwSc6A+r6OMDczrehdJSIiIiIqFRa3iBToasRtfPPrJfy05QqSUnKKvJ+RlYepi08XPm/d2BWjX/LDC519YGHOG1wi0eXk5mHL/ggsWReMv07GFrtMeqYOI2Ycln+3tzXDq7198cZLfvCrUamc95aIiIiI6MmwuEWkIHGJmXjz86P4dXeYXusdPhMnP975whJfTWiOl7vXhEajKbP9JKKys3FPGMbN/gfRNzNKvE5KWi4Wrr4oP57rUA1LPmwFjyo2ZbqfRERERESGwuKWgri1rIeum6Y/8FpueiZSQmMQsuEggn/YiYK8fChV6oUDuPJRhwdeM7G0gYVHbTi3H4IqPd+ExlS5f/Lr/gjFmM+OIDH5Tpej0rh5KwuDJ/8lF8e+mdIabi7WEInajwGJ2o8DNUtIypIzYP0u/YrbD/vtz+tya6/5k1pgSK9awhW61Z4DzAAiIiJSI17dKFDopkOI3H8a0GhgVbkSavV7Gs2mD4WDryeOTlgGpXNsNxAOgd2BggLkJsUi8cAKRP74LrIig+E95lsoTUFBAaYsOoVPvztnsG1KN7engxOxZ1lX1KkuXhcltR8DajwO1C4sMhWdRvyO0MhUg2xPGo/r1Y8O4uzlRHz5XnPhClwStecAM4CIiIjUhLMlKlDihTCEbjyE0A0HEbR0K3b0+ADpUQmo/XJHWDjbQ+msazwF5/aD4dxhCNz6TkDdOf/AzNkLCXu+R+7teCjNRwsNW9i660ZsOtq/thPXrqdANGo/BtR4HKjZ9Zg0PP2/HQYrbN1v3i9BeGfOMbmILhq15wAzgIiIiNSExS0V0GVmI/70VWhMTGDv7Qq1MbW0gU2dFvK319mxIVCSn3+7is++N3xh667YhEx0H7MLGZk6iEztx4DSjwM1y87JQ8+xu+VidFmZvyoIS9cFQ3RqzwFmABERESkZi1sqYedz50I+OzkNanT3Ql5r6wSliIpLx1tz/tFrnRNreuPGngHyz5K6GpGCDxachOjUfgwo9ThQuxnfnMGFq0llngMTvjqB0EjxWnE+TO05wAwgIiIipVJFcSshIQETJ05ErVq1YGlpiapVq+Ktt95Ceno6XnvtNXkskUWLFkEptFbmsHCyk7tdVKpbDc0/ex3ODWrI31hLA+oqXX52BnQpCXK3i8zwC7j+zRhkhp6BtW8zWHrWhlKMnHkYt1Nz9FpHGiDey9VG74HiF6wOwt+nYyEKtR8DajoO1OzUxQTM/um83uuVJgcysnR4bdrfQnVPVHsOMAOIiIhITRQ/oPzZs2fRrVs3xMbGwsbGBv7+/oiOjsaCBQsQEhKCW7duycsFBARAKRpPHCA/7he+4x8cm/w91CBmzTT5cb9KLfui2sjFUIqTQfHYcfBGuX2edD/7ybdn8cc3XSECtR8DajkO1O7T784iL6/8ik0HTsTg0KlYtGviDhGoPQeYAURERKQmWqW32OrVq5dc2Bo/fjymTZsGOzs7+b05c+Zg0qRJ0Gq1csuthg0bQiku/7Ib4duOwsRMC8e61VB/TB/YuDsjL/teK5+nl74DmGjw18ivCl8zr2SLPgfm4eSMFfIsU6JyeXYEHFv1Q0FeLjIjLiB202zkJERCY2ZZuExq0CFcm9GtyLoFuhwU5OchcHMejNnS9ZfK/TN3HYmSB5evVc34B2JW+zGgluNAzSJj0+VZTcvbkvXBwhS31J4DzAAiIiJSE0V3Sxw3bhwiIyMxduxYzJ07t7CwJZG6KTZq1Ag6nQ4+Pj6wtzf+G/aSSgmNRcyhC4jafwb/LvkN+16dBZeAmmg5e2ThMkcnf4cqTeugep/Wha+1+Ox13Dx+SeiLeYmFuy/sAzrBIbAb3PpORK0PtyHj2glcXzqqcBm7em3ReF3aA496S65Aa+cCj5dnwphJXRFX76yYwYCX/Vr+RbXSUPsxoIbjQO1+2HwZ+fnl30Vw495w3EzMhAjUngPMACIiIlITxRa3goODsW7dOri4uODzzz8vdpnAwED5p1Tkut/evXvRokULeXyuKlWqYNSoUbh9+zZEFX/yMkI2HJQv3is3qSO/lpOchiPjl6L5p6/DytUR3j1awK1VPRydtAxKY+vXCk7thyDp73VICz5S7DL5udkIndUXtv5t4N7vAxizYxduIiu7Yr5NP3BSzHFq1H4MKPE4ULs/T1TMsajTFeDw2TiISO05wAwgIiIiJVNscWvNmjXIz8/HoEGDYGtrW+wyVlZWRYpbf/31F7p27QpPT09s3rwZn376KTZs2IA+ffoINZDuw87N24B8XR4aT+hf+FrUn2cRvu0I2i0ahxazhssX+NlJypxByr3/FMDEFNGrpxb7/vUlo5CfmwWft5bD2J26mFhhn33+yi3k5IrZTUXtx4DSjgM1k1psnQ5OrNCB7EWl9hxgBhAREZFSKba4tX//fvlnhw4dHrmM1GXx4eLWjBkz4Ovri19//VUeiH748OH49ttvceDAAezYsQOiSg2PRdhvh+HRriGqNPcrfP3k9BWwq+4md9uI3HcaSmXpXgtObQcg9fw+eYyR+93ctgC3T25HzclbYGKh3yyCFeF0cMXdWObk5iPoWhJEpPZjQGnHgZqF3EhBanpuhX1+RRbWnpTac4AZQEREREql2AHlIyIi5J/e3t7Fvi+NtXX48OEixa1jx45h2LBhMDG5V/fr0qWL/HPLli3o2bOn3vvSpEkTeVB7fZgVmGAamsGQzs/fKHfHkL6x3vXix/JrusxspEXcRFLwkw1MXNu3NnI1+QbaU0BjbgXXr6/CkNz6fYhbh9bI31jX+fRP+bXU838icsUk+E79HRauPk+0/dq1fVGQU/Zj0cTbDQXMqhf73ok1veHm8uibEjcXq8KfN/Y8OIvYw2ITMtB04NYir3fu1heWulCUNdGOAUMfB2VxDJT1cVBex4DaZWurAvavlyoD9MmBR2XA3gP/wMvrNYiYARKeC5kBREREZJzc3Nxw8uTJUq2r2OJWenq6/DMzs/iLLGk8Lmk2RWmQ+erV7xUKTE1NYW5u/sCyZmZm8oyKQUFBpdoXqbAVFRWl1zrmGlPAVc/PORqE5e4vPvL921ejsMLrXlcMQ4qOiUZOgeG6q0nfGuv5z4ddg/YI/O3RXUetqvo9MPNTdlw4Qr94CV5Dv5DXfVLR0dHIz85AmauRB5gV/5Z0U+vlavOfm9CampRoueIk3koGUvX7ey4N0Y4BQx8HpTkGKvo4KLdjQO1sbAD7J8uAJ8mB3Nx8vc9p5ZUBEp4LmQFERESkPlolV/ySkpJw+vRptGzZ8oH3YmJiMGHCBPn3hg0byoWru2rXri233rrfiRMn5PG2bt26Vep9Kc031jDcl79lzsPdw+DfVpcl6eI75PM+cGjWG1V6jDXINj08PMrlG+sEcxNkP6alxeNILTWkG1pdXj5iEx6/r4/alrOTAyztPVHWRDsGDH0clPUxUBbHQXkdA2qXY+qI+FJmgD458KhtmZlpUMWTGVActZ8LmQFERET0JEpTO1F8catTp07yjImzZ89G586d5aLV3ULVkCFD5FZbkoCAgAfWGzduHF555RV88skn8iyJ0rhco0ePllt03d9VUR+laVaXm5GFVTUHQxRXrl6BmbWlwbaXqQPa7kSZSTqyEZlh55AVdUWeOeph9RZdhHnlanpt88qVq7AqhyNq2JSDWP5b8d1UiutCdD+pC5LUUkO6oa3aeW2pPv+fgztQq9ojmo0YkGjHgKGPg7I+BsriOCivY0Dtom+mw7PT2lJlgCFyoE/3dlg/9053vrKk9gwQ8VzIDCAiIqKKothLkIkTJ2L16tW4ceMG6tWrh7p16yIrKwvXrl2TB4r38fHBrl27HhhvSzJ48GC5++HMmTMxZcoUuag1ZswYuauivX3Z39BXhD9emAa1ce4wRH6IKNDf5ZHFrbLmYGeOmlXtoDRqPAZEPw7UzKOKDdwrWyMmvmK6fwX6O0OJ1JgDzAAiIiJSCsXOlujl5YVDhw6hR48esLS0RHh4OJycnLBs2TJ51sMrV67Iyz1c3JK6KM6aNUtu2XXu3DnExcXhyy+/xNWrV9GqVasK+tcQGceN5VN1nR/oxktEFSPQz7lCC+xERERERMZEsS23JH5+fti+fXuR19PS0uRil9TNsH79+sWuKw00L43HJfnuu+/kgemlWRSJKloT/8rymDn/NWZWWej5dNVy/0wiKqpX+2rYfvBGuX+uo705WjUqzVQHRERERERlR7Ettx5H6nYoDRDv6+sLa2vrIuNjff7553KXRamF1zvvvCOPvSWN3VWzZs0K22eiu8zMTDD8hTrl/rlWlqYY1ufO2HVEVLFe7l4TdjaPmDa1DEkZYM1BlYiIiIjIyKiyuHXhwoViuyRKLCwssG3bNvTr109+HDlyBOvWrZOLXETGYsQLdWFqWr7dAwd0rQFHe4ty/UwiKp6ttRle7e1b7p87ql/dcv9MIiIiIqL/osqvXx9X3GrQoIFc0CIyZl5uNnh3SH18sfzO33JZk1qIfPzGU+XyWURUMh8Ob4TVO0Nw63Z2uXze6P5+8PV2KJfPIiIiIiLSB4tbCuLo741Wc0fBzNYK6ZHxOPjmQjjWropOqz5ASkg0dg+YiazEFNhVd0PLz4fD0sUBGq0pzn31K8K33jiEvs8AAAtxSURBVCno+Y/oibpDn4UuPQtbO0+AscsIO4eIxcORn5kK88re8HnnF2RdD8LVGd1g6VkHvh/vhlmlKkjY+yPits5D1o1geA2bC9febxduIyv6Kq5/Mxq62zdRkKeDe/+pcGrbX34v7rd5iN+5GCZWtvD/+iyMyYwxT2HbX9dxKex2mX/WV+81RzV3W4j6N//U5Jfh3b058rJzka/Lw+lZqxF94Jy8Dek4aDl7BOx83GBiZoorv+zBxe92yO/59G6FgPH9YO3qhNV1X4XIx0DULx8i+cRWaExM5fXc+r4Pp3YDhD4G1M7NxRoL32+JQZMPlPln+XjYYvY7TWGMSpoDdzn4eqLXrjm4snIPjk9dLnwOlDQDwucPRcrZPdA6VJbXs2/UGV7DvpB/ZwYQERGR6FRZ3Nq/fz+UqM3XY3H4ncW4FRSOWgOeQdOpr+Da2j/li/v7C1XSctfW/Ymrq/fBwtkevf6YjZvHLyEj9hYufrsdty6EodmMoRCBdLHuM+4nWNcIkAtYkT+9B5eOw+QL+vsvwq1rBqLGhPWI3fB5sduQ1nHp8jpyb8fj0vgmsPVvA3NnT7g+9w6sazTGjR/uFcOMhaWFFj9/8jTaDduB7Jy8Eq0Tm5DxwM+S6PV0NbzWt7bQf/Nxx4Jxbt4G5GXlyDfC3TbPwPqAEdBlZqPp9KFIvnIDf772BbRWFui+9RPEHb+ExHMhctE34fRV9N47F6IfA67PT4DnkE/l33MSoxA0xg/2AZ2gtXcR9hggYGD3GnKRe+0foSVeR98cMNOaYPkn7eSukCLngET6QqfVF6MQ8fvxB14XOQdKmgF3c+D+L3fu3wYzgIiIiESmyjG3lMipfnXoMrLki3tJyPoDqNqlCUzMi9Yvnep5I3Lfafn37MQUeR2f51pBNBmhZ2BqZStf0EucO7yK28e3okCXU2RZ6+qNYFXVDxqTon/ymeHnYB/YXf7dzKEyrHwaIenvdRBBswaVseHLZ+Sbz5JoOnArqnZeK/8sibZPuWLtnA7QaMp3fC9D/81H7T8jF7YkScHXAY0Gls72d7bjLx0PZ+TfpWJX7D/BqPni01DaMaC1rVT4e35mGlBQgIL8fOGPAbWTjk2p8NSllWeJ19EnB6Sx/VbNao+nm7jDGOmTA5KAd/shfNtRpIbGPLgdQXNAnwx4HGYAERERiU6VLbeUyLZaFTjWrYbee+50MZBI3z5buzkVWTbxfChqvtAO/y75TV6vStM6SLsRD9Fkx4UhM+ICLr5956Jekp+dIbdK0YfUquvWXyvh1ncismNDkXbpCMyr+EAUPZ+uhm0LO+OFd/chPVNnsO12a+OFDV92NNqZ0fT5m7+f74AOSIuIQ1pkfOHxUOP5Nog/dQUWTnbwbN8It0OiocRj4Oa2Bbi5czFyEyPhPfZ7uauSEo4BtbMwN8Vv8zvh5fcPYPO+CINt19LCVC5uP9fBG8ZKnxxwaeyLyoG1sbv/DASMf+mB90TNAf0zYD4S9/4I88rV4DHok8KiGDOAiIiIRGecd61UKvFnrmLPwE8Knw/494dil/t73CI0+fhV+WYgLTIBMYcuoCCvZN3ajI2Nb3P4Tt9V+PzckDtjiejD562fEfnTePnmQBqvxL5hR2hMxTo0nm3thQsb++J/0w7hwIkHWyToy9pSi1lvN8GYAf4wMTG+Flul+Zu/y71NAzQa3w+7+88sfO3E9J/lbkzS8ZCVcBuxR4Ng6eygyGOgSq9x8kMaoyds3mDYB3SB1t5ZEceA2kndlDd+1RHfbbyM8XOPIy0j94m217qxK36a0VaIAeRLkgOmVuZoMet1HHj9y2K3IXIOlDQDPAZ/CjNHd7kFc9LRzfKYXPWXXpVbfjEDiIiISHS8clEIqSWKjadL4XNpYF2ttaU8jlaRZSPjceD1e2OHdF79IaL/ujO4tkgsXGsgJ+F64fO8jBTkZaXLY4Totx0f1Hx/Y+Hzqx93hX3jLhBNdS877Puum3xzO+uHcwiPTtNrfan70XPtvTHn3aaoWfVOlz2l/M1LXFv6o/XXo7HvlVnyWDx3Zd9Kxd9vLy58Lg0qnXz5BpR8DEjddM2dPJH67wE4tnpBMceA2kldFEe8WBfPtvLE+1+fxIa9YdDpCvTaRlU3G0wY2kCeGdHU1EQxOWDn7QZbTxd03fix/Nzc3gYw0cDcwRZ/v7VI2BzQJwPuf82x5fOIWvE+sqIuw6ZWIDOAiIiIhGf8V65UItJ4I/m5eXBv11B+Ls14GPbbYeTnFO2mJs0KJY05JPFo3wgOtb0QuvlviEbqTqExNZNnf5LE71wCpzb9odGa67Wd3OS4wrGHbp/ehcwbF+HU7mWISGppNbJfXVzb0Q87FnfBcx2qwcnB4rHL16tZCVNHNkb47/2xcV5HIQpb+v7Nu7bwQ9uFb2L/0DlIuvhgty0LR1t5kOm74/dU69oUl5b/AaUdA5nXLxb+nh0TIo/VY1nVX3HHAAHeHnZYM6cDru8aIM+q2sDXUS5eP0olO3P0aFcVW+Z3QujOl/Dmy/WEKGzpkwPJl65jbf3XsKHZaPkhzYR4be1+ubAlcg7okwE5CZGFv6dd/ge61ERYuteSnzMDiIiISHRsuaUgB8fMR5uvx8B81nCkhsfi4NgFcKxTrchy0mC7Dcb2QUFePjLikrB30GeFg22Lpvq7qxC+YBiuL30DFu61UP3dlciM+LfIcgn7liN61UfIS0tC8rEtiNsyF7U+2ibPAHX7+DbEbpwFmJjCzMkDvlN3wsTCCiKTbky7t60qPwoKChARnYYzlxKRnJqDXF0+LM1N5SJWQB0n2BjpDGiG/Jtv/eVomJqboc280ffWfXOhfMMrjcPTfOb/kJ+Xh9y0TBwY+RUybyZDacdA1M8T5fF5NFozaEy0qDZykTzJgkSJxwAB7pWtMWVkY/mRkanDuSuJuHY9BZnZedCamshFrYC6TqjuaWeUk0YYOgceR+QcKGkGSDMi5t6Og8bEFCbmVqg58VeY2tzpeskMICIiItGxuKUg0o369q6T/nO5q6v3yQ8lsPJpAL+vTv7nci4dpWnOhxb/XpfX5YdSSTetPp528kOtf/ObWr/5yPekmRQ37X/0+0o5BmpN2f7I95R+DBDkiSFaNnKVH2rNgfud/XK9YnKgpBlQe+beR77HDCAiIiLRidHvgEotL1cHC0c7eZBcS+f/7m7mP6KnPOhu1q1UiErqjqFLSZQHxs1NvvlE24r7bR6ufzMaWrt7Y7qQsv7mH8endyt0XPE+MuPFaMFxF48BUju15wAzgIiIiNRGUyD1WSKjk5uRhVU1B0MUg0JWwsza0mDby9QBbXdCKIe6A1ZsC6naY8DQxwGPAVI7tWeAiDnADCAiIqKKwpZbREREREREREQkLBa3iIiIiIiIiIhIWOyWaKSk/y26zGyIQmtlYdDZtqS/yqw8CMXSVBq8vaL3QjlEOwYMfRzwGCC1U3sGiJgDzAAiIiKqKCxuERERERERERGRsNgtkYiIiIiIiIiIhMXiFhERERERERERCYvFLSIiIiIiIiIiEhaLW0REREREREREJCwWt4iIiIiIiIiISFgsbhERERERERERkbBY3CIiIiIiIiIiImGxuEVERERERERERMJicYuIiIiIiIiIiITF4hYREREREREREQmLxS0iIiIiIiIiIhIWi1tERERERERERCQsFreIiIiIiIiIiEhYLG4REREREREREZGwWNwiIiIiIiIiIiJhsbhFRERERERERETCYnGLiIiIiIiIiIiExeIWEREREREREREJi8UtIiIiIiIiIiISFotbREREREREREQkLBa3iIiIiIiIiIhIWCxuERERERERERGRsFjcIiIiIiIiIiIiYbG4RUREREREREREwmJxi4iIiIiIiIiIIKr/Awi3Qx8wthKFAAAAAElFTkSuQmCC", + "text/plain": [ + "
" ] - }, + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "num_spins = 10\n", + "ansatz = efficient_su2(num_qubits=num_spins, reps=2)\n", + "\n", + "service = QiskitRuntimeService(\n", + " channel=\"ibm_cloud\",\n", + " token= # Replace with your actual API token\n", + " instance = # Replace with your instance name if needed\n", + ")\n", + "backend = service.least_busy(\n", + " operational=True, min_num_qubits=num_spins, simulator=False\n", + ")\n", + "\n", + "coupling = backend.target.build_coupling_map()\n", + "reduced_coupling = coupling.reduce(list(range(num_spins)))\n", + "\n", + "edge_list = reduced_coupling.graph.edge_list()\n", + "ham_list = []\n", + "\n", + "for edge in edge_list:\n", + " ham_list.append((\"ZZ\", edge, 0.5))\n", + " ham_list.append((\"YY\", edge, 0.5))\n", + " ham_list.append((\"XX\", edge, 0.5))\n", + "\n", + "for qubit in reduced_coupling.physical_qubits:\n", + " ham_list.append((\"Z\", [qubit], np.random.random() * 2 - 1))\n", + "\n", + "hamiltonian = SparsePauliOp.from_sparse_list(ham_list, num_qubits=num_spins)\n", + "\n", + "ansatz.draw(\"mpl\", style=\"iqp\")" + ] + }, + { + "cell_type": "markdown", + "id": "ab79119b-5e56-49d8-a20e-1c8e665baec0", + "metadata": {}, + "source": [ + "## Step 2: Optimize problem for quantum hardware execution\n", + "\n", + "* Input: Abstract circuit, observable\n", + "* Output: Target circuit and observable, optimized for the selected QPU\n", + "\n", + "Use the `generate_preset_pass_manager` function from Qiskit to automatically generate an optimization routine for our circuit with respect to the selected QPU. We choose `optimization_level=3`, which provides the highest level of optimization of the preset pass managers. We also include `ALAPScheduleAnalysis` and `PadDynamicalDecoupling` scheduling passes to suppress decoherence errors." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "a0a5f1c8-5c31-4d9f-ae81-37bd67271d44", + "metadata": {}, + "outputs": [ { - "cell_type": "code", - "execution_count": 11, - "id": "ecd7762a", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "results = {\n", - " 'spsa': spsa_history,\n", - "}\n", - "\n", - "visualize_results(spsa_history)" + "data": { + "image/png": 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", + "text/plain": [ + "
" ] - }, + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "target = backend.target\n", + "pm = generate_preset_pass_manager(optimization_level=3, target=target)\n", + "pm.scheduling = PassManager(\n", + " [\n", + " ALAPScheduleAnalysis(durations=target.durations()),\n", + " PadDynamicalDecoupling(\n", + " durations=target.durations(),\n", + " dd_sequence=[XGate(), XGate()],\n", + " pulse_alignment=target.pulse_alignment,\n", + " ),\n", + " ]\n", + ")\n", + "isa_ansatz = pm.run(ansatz)\n", + "isa_observable = hamiltonian.apply_layout(isa_ansatz.layout)\n", + "isa_ansatz.draw(\"mpl\", scale=0.6, style=\"iqp\", fold=-1, idle_wires=False)" + ] + }, + { + "cell_type": "markdown", + "id": "9e889d0b-30b5-4e6b-84c9-d1f096abf132", + "metadata": {}, + "source": [ + "## Step 3: Execute using Qiskit primitives\n", + "\n", + "* Input: Target circuit and observable\n", + "* Output: Results of optimization\n", + "\n", + "Minimize the estimated ground state energy of the system by optimizing the circuit parameters. Use the `Estimator` primitive from Qiskit Runtime to evaluate the cost function during optimization.\n", + "\n", + "Since we optimized the circuit for the backend in Step 2, we can avoid doing transpilation on the Runtime server by setting `skip_transpilation=True` and passing the optimized circuit. For this demo, we will run on a QPU using `qiskit-ibm-runtime` primitives. To run with `qiskit` statevector-based primitives, replace the block of code using Qiskit IBM Runtime primitives with the commented block.\n", + "\n", + "In this tutorial we use SPSA, which is a gradient based optimizer. Next we give a brief introduction to it, and provide the code to implement SPSA using Qiskit 2.0." + ] + }, + { + "cell_type": "markdown", + "id": "64f97e6f", + "metadata": {}, + "source": [ + "### Introducing SPSA\n", + "\n", + "Simultaneous Perturbation Stochastic Approximation (SPSA) [1] is an optimization algorithm that approximates the entire gradient vector using 2 function calls only at each iteration. Let $f:\\mathbb{R}^p\\rightarrow \\mathbb{R}$ be the cost function with $p$ parameters to be optimized, and $x_i\\in \\mathbb{R}^p$ be the parameter vector at the $i$-th step of iteration. To compute the gradient, a random vector $\\Delta_i$ of size $p$ is created, where each element $\\Delta_{ij}$, $\\forall$ $j\\in \\{1,2,...,p\\}$, is uniformly sampled from $\\{-1, 1\\}$. Next, each element of the random vector $\\Delta_i$ is multiplied with a small value $c_i$ to create a random perturbation. The gradient is then estimated as\n", + "\n", + "$$[\\nabla f(x_i)]_j \\approx \\frac{f(x_i + c_i \\Delta_i) - f(x_i - c_i \\Delta_i)}{2c_i\\Delta_{ij}}.$$\n", + "\n", + "Intuitively, since a random perturbation is applied during the gradient estimation, it is expectation that small deviations in the exact values of $f$ coming from noise can be tolerated and accounted for. In fact, SPSA is particularly known to be robust against noise, and requires only two hardware calls for each iteration. It is, therefore, one of the highly preferred optimizers for implementing variational algorithms.\n", + "\n", + "In this tutorial, the hyperparameters for the $i$-th iteration, $a_i$ and $c_i$, are computed as $a_i = a/(A + i + 1)^\\alpha$ and $c_i = c / (i+1)^\\gamma$, where the constant values are taken as $A = 30$, $\\alpha = 0.9$, $a = 0.3$, $c = 0.1$, and $\\gamma = 0.4$. These values are selected from [2]. Appropriate tuning of hyperparameters is necessary for extracting a good performance out of SPSA." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "73a9352c", + "metadata": {}, + "outputs": [], + "source": [ + "def spsa(\n", + " fun, x0, args=(),\n", + " A = 30, alpha = 0.9, a = 0.3, c = 0.1, gamma = 0.4, maxiter=100\n", + " ):\n", + " nparams = len(x0)\n", + " x = np.copy(x0)\n", + "\n", + " for i in range(maxiter):\n", + " a_i = a / (A + i + 1) ** alpha\n", + " c_i = c / (i + 1) ** gamma\n", + " delta_i = np.random.choice([-1, 1], nparams)\n", + "\n", + " # two hardware calls\n", + " eval_1 = fun(x + c_i * delta_i, *args)\n", + " eval_2 = fun(x - c_i * delta_i, *args)\n", + "\n", + " # compute the gradient and update the parameters\n", + " grad = (eval_1 - eval_2) / (2 * c_i) * np.reciprocal(delta_i)\n", + " x = x - a_i * grad\n", + "\n", + " return x" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "32ca3b6a", + "metadata": {}, + "outputs": [], + "source": [ + "def cost_func(\n", + " params: Sequence,\n", + " ansatz: QuantumCircuit,\n", + " hamiltonian: SparsePauliOp,\n", + " estimator: BaseEstimatorV2,\n", + " cost_history_dict: dict,\n", + ") -> float:\n", + " \"\"\"Ground state energy evaluation.\"\"\"\n", + " energy = estimator.run([(ansatz, hamiltonian, [params])]).result()[0].data.evs\n", + "\n", + " cost_history_dict['iters'] += 1\n", + " cost_history_dict['prev_vector'] = list(params)\n", + " cost_history_dict['cost_history'].append(float(energy[0]))\n", + "\n", + " print(\n", + " f\"Fx Iters. done: {cost_history_dict['iters']} [Current cost: {round(energy[0], 5)}]\",\n", + " end=\"\\r\",\n", + " )\n", + "\n", + " return energy\n", + "\n", + "\n", + "def solve(x0, isa_ansatz, isa_observable, maxiter=150):\n", + " cost_history_dict = {\n", + " \"prev_vector\": None,\n", + " \"iters\": 0,\n", + " \"cost_history\": [],\n", + " 'y_min': None,\n", + " }\n", + "\n", + " # Evaluate the problem using a QPU via Qiskit IBM Runtime\n", + " with Session(backend=backend) as session:\n", + " estimator = EstimatorV2()\n", + " estimator.skip_transpilation = True\n", + " x_opt = spsa(\n", + " cost_func,\n", + " x0=x0,\n", + " args=(isa_ansatz, isa_observable, estimator, cost_history_dict),\n", + " maxiter=maxiter\n", + " )\n", + "\n", + " y_min = cost_func(x_opt, isa_ansatz, isa_observable, estimator, cost_history_dict)\n", + "\n", + " return y_min, cost_history_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "f418b372", + "metadata": {}, + "outputs": [], + "source": [ + "np.random.seed(42)\n", + "num_params = ansatz.num_parameters\n", + "params = 2 * np.pi * np.random.random(num_params)" + ] + }, + { + "cell_type": "markdown", + "id": "3bf42923", + "metadata": {}, + "source": [ + "Here we set the `maxiter = 50`. Note that since each iteration requires two calls to the function to compute gradient, the total number of function calls will be $2 \\times \\text{maxiter}$. The `maxiter` can be increased to any higher value for better energy estimation." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "1732ce37", + "metadata": {}, + "outputs": [ { - "cell_type": "markdown", - "id": "217a9379", - "metadata": {}, - "source": [ - "## References\n", - "\n", - "[1] Spall, J. C. (2002). Implementation of the simultaneous perturbation algorithm for stochastic optimization. \n", - "IEEE Transactions on Aerospace and Electronic Systems, 34(3), 817-823.\n", - "\n", - "[2] Sahin, M. Emre, et al (2025). Qiskit Machine Learning: an open-source library for quantum machine learning tasks at scale on quantum hardware and classical simulators. arXiv:2505.17756." - ] - }, + "name": "stdout", + "output_type": "stream", + "text": [ + "Fx Iters. done: 101 [Current cost: -2.19621]\r" + ] + } + ], + "source": [ + "maxiter = 50\n", + "spsa_min, spsa_history = solve(params, isa_ansatz, isa_observable, maxiter=maxiter)" + ] + }, + { + "cell_type": "markdown", + "id": "33abbb3f-6245-4610-a05d-e2bc4cc551f0", + "metadata": {}, + "source": [ + "## Step 4: Post-process and return result in desired classical format\n", + "\n", + "* Input: Ground state energy estimates during optimization\n", + "* Output: Estimated ground state energy" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "e5b58771-d543-4e75-9746-fbc7b28e4360", + "metadata": {}, + "outputs": [ { - "cell_type": "markdown", - "id": "c14b0e0a", - "metadata": {}, - "source": [ - "## Tutorial survey\n", - "\n", - "Please take this short survey to provide feedback on this tutorial. Your insights will help us improve our content offerings and user experience.\n", - "\n", - "[Link to survey](https://your.feedback.ibm.com/jfe/form/SV_bfuBwfNeeFBxnim)\n", - "\n" - ] - }, + "name": "stdout", + "output_type": "stream", + "text": [ + "Estimated ground state energy: [-2.19621239]\n" + ] + } + ], + "source": [ + "print(f'Estimated ground state energy: {spsa_min}')" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "ecd7762a", + "metadata": {}, + "outputs": [ { - "cell_type": "markdown", - "id": "a1b8767d", - "metadata": {}, - "source": [ - "© IBM Corp., 2017-2025" + "data": { + "image/png": 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", + "text/plain": [ + "
" ] + }, + "metadata": {}, + "output_type": "display_data" } - ], - "metadata": { - "description": "Build, deploy, and run a Qiskit pattern for simulating a Heisenberg chain and estimating its ground state energy.", - "kernelspec": { - "display_name": "qae", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.13.3" - }, - "title": "Ground state energy estimation of the Heisenberg chain with VQE" + ], + "source": [ + "results = {\n", + " 'spsa': spsa_history,\n", + "}\n", + "\n", + "visualize_results(spsa_history)" + ] + }, + { + "cell_type": "markdown", + "id": "217a9379", + "metadata": {}, + "source": [ + "## References\n", + "\n", + "[1] Spall, J. C. (2002). Implementation of the simultaneous perturbation algorithm for stochastic optimization.\n", + "IEEE Transactions on Aerospace and Electronic Systems, 34(3), 817-823.\n", + "\n", + "[2] Sahin, M. Emre, et al (2025). Qiskit Machine Learning: an open-source library for quantum machine learning tasks at scale on quantum hardware and classical simulators. arXiv:2505.17756." + ] + }, + { + "cell_type": "markdown", + "id": "c14b0e0a", + "metadata": {}, + "source": [ + "## Tutorial survey\n", + "\n", + "Please take this short survey to provide feedback on this tutorial. Your insights will help us improve our content offerings and user experience.\n", + "\n", + "[Link to survey](https://your.feedback.ibm.com/jfe/form/SV_bfuBwfNeeFBxnim)" + ] + }, + { + "cell_type": "markdown", + "id": "a1b8767d", + "metadata": {}, + "source": [ + "© IBM Corp., 2017-2025" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" }, - "nbformat": 4, - "nbformat_minor": 5 + "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" + } + }, + "nbformat": 4, + "nbformat_minor": 5 } From 29a6d84f48b86ab6490edcfbfa9673669dacdb62 Mon Sep 17 00:00:00 2001 From: ABBY CROSS Date: Thu, 19 Mar 2026 12:26:52 -0400 Subject: [PATCH 03/14] copyedit --- docs/tutorials/spin-chain-vqe.ipynb | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/docs/tutorials/spin-chain-vqe.ipynb b/docs/tutorials/spin-chain-vqe.ipynb index 146eb0c00b7..9ea74389972 100644 --- a/docs/tutorials/spin-chain-vqe.ipynb +++ b/docs/tutorials/spin-chain-vqe.ipynb @@ -24,7 +24,7 @@ "source": [ "## Background\n", "\n", - "This tutorial shows how to build, deploy, and run a `Qiskit pattern` for simulating a Heisenberg chain and estimating its ground state energy using the SPSA optimizer. For more information about Qiskit pattern, refer to the [documentation](https://qiskit.org/documentation/guides/patterns/index.html)." + "This tutorial shows how to build, deploy, and run a development workflow called a [Qiskit pattern](/docs/guides/intro-to-patterns) for simulating a Heisenberg chain and estimating its ground state energy using the SPSA optimizer." ] }, { @@ -36,8 +36,8 @@ "\n", "Before starting this tutorial, ensure that you have the following installed:\n", "\n", - "* Qiskit SDK 2.0 or later, with visualization support (`pip install 'qiskit[visualization]'`)\n", - "* Qiskit Runtime 0.44 or later (`pip install qiskit-ibm-runtime`)" + "* Qiskit SDK v2.0 or later, with [visualization](/docs/api/qiskit/visualization) support\n", + "* Qiskit Runtime v0.44 or later (`pip install qiskit-ibm-runtime`)" ] }, { @@ -90,7 +90,7 @@ "* Input: Number of spins\n", "* Output: Ansatz and Hamiltonian modeling the Heisenberg chain\n", "\n", - "Construct an ansatz and Hamiltonian which model a 10-spin Heisenberg chain. First, we import some generic packages and create a couple of helper functions." + "Construct an ansatz and Hamiltonian that model a 10-spin Heisenberg chain. First, we import some generic packages and create a couple of helper functions." ] }, { From febbf418a502d11aaaf953b556180f5039e49358 Mon Sep 17 00:00:00 2001 From: ABBY CROSS Date: Thu, 19 Mar 2026 12:27:25 -0400 Subject: [PATCH 04/14] rmv output error --- docs/tutorials/spin-chain-vqe.ipynb | 7 ------- 1 file changed, 7 deletions(-) diff --git a/docs/tutorials/spin-chain-vqe.ipynb b/docs/tutorials/spin-chain-vqe.ipynb index 9ea74389972..8e720d0addf 100644 --- a/docs/tutorials/spin-chain-vqe.ipynb +++ b/docs/tutorials/spin-chain-vqe.ipynb @@ -99,13 +99,6 @@ "id": "7e8d2f10-f1d6-4ec2-bac9-9db23499c9e1", "metadata": {}, "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "qiskit_runtime_service._discover_account:WARNING:2026-01-12 07:30:32,269: Loading account with the given token. A saved account will not be used.\n" - ] - }, { "data": { "image/png": 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wABNHNIdbjRvLiEiZHB2sMWpAYxz7vR/OrH4KHjVvfOe9Peyx4suueOQhX3MfItF9U+VcFncrbknq168vF7OIiIiIiJTC1cUWNtY3Wm9Jg82zlQaRumg0GjSpVxO2NjfigBVjACkIi1sK4hocgHYzX4a1kz2yY5Owa9wcuDasjW6/voOMyHhsHvQx8lIyYGVvg/ZfjIZHaH0Yig04MnUJLm3YJ++j5fvDEPhEO6SejMb2ETNg6XKij+PSNy+hODcTNp4BCHx9MfIun8aFKT1h59cIQR9thnXNWkjeuhBX185C3pUI+I+YCa++r5Xsozg/BzFzXkDOhYOAVgu/oZ/Btf3T8nuxP01E6j/L4FD/QTR4Z7UZ/6VEREREVNn898G3n0XA4w+hKL8QxfoiHJm2BPE7j9/YiUaDhz4eAb+uDwIGA858vwFnf9okvxU8sjcaD38M+uw8rO0+ESLnw3GL30X6wbXQaG8UNrz7/xdunQbJz5kPkxriwE01gvzQ568ZOP/LFhz44Gfh40BFY0DM18ORcWwLdDU85e1cWnSH/4jPFRMDVFnckrodKlGHr8Zi9+vfIPV0DBoMegStPngOF3/bIX+hb/8SNn25L4oLCrGq3Tg41a6FXhunInHPKeSnZeHQx4uRfu4K6vQUYzBB6QsaOP4nONQLlQtYsT+9CY+uI+QvcfBXx0rWc6gfhnoTlyNxxdQy+0j8Yya01rZouuAi8q9G4+zEh+DcrAt0Lu7yl92uTgjS91vul5iIiIhIrSqa/17dH4Hjs1agKK9AvhDu+ccULA8dCX1uPuo/3Qk1GtbGH+3Hw9rFAX23fI7E3aeQfj4WZ75bL9/0bT1lOETPh72enAi/YZ/KzwtS4nB6TBO4hHaDzsWD+TCpIg5INDortPv8ZVz680Cp5SLHgYrGgJtx4PaGHjcpIQZwECmFcGtaF/qcPPkLLYlcvhO1H20JrU3Z+mXgE+1xbtFm+XnWlWtI3HMadXpWfKpoS5ETdRRW9k7yl1ji3uV5XD+wFgZ9QZl1Heq2gH3tJtCUM25a2j/L4NHjZfm5rVddODftjPR9f1TDv4CIiIiIqiP/jdt+VC5sSdIiLsutNOzcXeTXgX3b4cKvW2EoLkZBehai1+xG3Sc7QGn5sM6pZsnz4twsuXWK9G+WMB8mNcQBSegbAxCzbi8yoxJKLRc1DhgTA+5GCTFAlS23lMipTi24Nq4jV5hv0tnbwsG77IwYTn4eyIpNKnktFbgc/TwgGqminHvpJM68duOLfLM5pXQnyhgFSZdh6xlQ8tqmVqC8jIiIiIiUkf/eLmhQF2RdulqSD5fNjZPgGdYQSsyHr62bjWsbv0FhSiwCxv4gd1WSMB8mNcQBjweC5O/25oFTEDrhmdL7ETQOGB8DvkbK1oWw8awD3yGflBTFlBADWNxSkKSjF7Bl8Cclrwed+hFK5xj0EIIm/1Xy+viwG/2HiYiIiEj5jM1/fTo0Q4sJA7B54MdQYz5cq894+SGN0RM9ayhcQh+Vux0RKT0OSONOt5n2Ina++AWUpqIxwHfop7B29ZF7M6Xt/UMek6vp/Atyyy8lYLdEhZDuPt3e+koaTE/nYIecxNSy68Ylw8n/1h+8NO5WdlwyRGPrVQ8FybeqyUU5GSjKy4aNu59R+5Gq1vlJl0peF1yLkZcRERERkTLyX4lX22C0/2o0tj03TR6L5865sSey42614FBiPiwN2WHj5ofMUzvl18yHSelxwDnAW26d1WPlR3j6wDwEv9RLHp+rw9djhY4DxsQAG3e/kmF6XNs+CSt7F+TFnVNMDGBxSyGkPsbFhUXw6dRcfi3N5iD1Ey4u0JdZ99K6vWj03KMlhS3vdiG4vKn0gHoikJpQaqys5RkfJEkb58Gtw0BodDZG7ce1/QAkb/q2pFmndJKv2aZflRwzEREREVV//uvVpgk6zhmH7cNnIO3MrQu4m7lx0JBu8kWfTU0n1H2iPaLX7IHS8uHcy2dKnucnRMpj9djVDpZfMx8mpceB9LOX8VvTF7Ci9Wj5Ic2GePG37fjn1blCxwFjYkBBcmzJ86xz+6DPTIGdTwPFxAB2S1SQXWO+RoevxsBm2kvIjEnErrGz4dqobLX11Lw1aD9rNPrvnQtDUTH2v/MD8lMzIaK6b/yKmNkjcHn+K7D1aYC6b/yC3EunyqyXvO1nxP/6Hoqy0uRZHq6unokG762DQ70H5BkjLs3+D06Oqi9PjVx75Fx51hgiIiIiUkb+2/6L0bCysUaHWaNvbTtujnzBG7liF9xDG6D/njkwGAw4vWCdvFxp+XDc/ybJF60anTU0Wh3qjJorT7gkYT5MaogDdyNyHKhoDIj5ejgKr1+Vv+NaG3vUn/Q7rBxrKCYGsLilINKXb32Pt+65njTl8d8vz4IS2Ac2Q5MvD91zPY+uw+VHeazsHFFv0rIqODoiIiIisoT8d1X7cXd8T5odTbrZux/KzocbvL/+ju8xHyY1xIHbHftiuWLiQEVjQMOPtyo6BrBbosIVFeph6+oszx5xc7rju2n5/jA0G/ck8tOzICqpCaY+I0WeMaIw/dp97Sv2p4lIXDEVOkdXkx0fEREREVlO/ns3wSN7y4NQ5wnWy4H5MKmd2uOARoUxQGOQ2tyRxSnMycOv9YdCFEMif4G1g53J9perBzpuhFDCHwfs2RaSiIiILJh/t6WIu5YDv1oOiN06GJZMtHzY1Dkx82FSexxQewyQMA5UHFtuERERERERERGRsFjcIiIiIiIiIiIiYbFbooWS/lukgd9FobO3hUajMdn+pL/KvCIIxc4KMOGvgIiIiEi13ZFEzIdNnRMzHya1xwG1xwAJ40DFsUe0hZK+EKbsqysa6cvA/vpERERE6sV8mPkwqZvaY4CEcaDi2C2RiIiIiIiIiIiExeIWEREREREREREJi8UtIiIiIiIiIiISFotbREREREREREQkLBa3iIiIiIiIiIhIWCxuERERERERERGRsFjcIiIiIiIiIiIiYbG4RUREREREREREwmJxi4iIiIiIiIiIhMXiFhERERERERERCYvFLSIiIiIiIiIiEhaLW0REREREREREJCwWt4iIiIiIiIiISFgsbhERERERERERkbBY3CIiIiIiIiIiImGxuEVERERERERERMJicYuIiIiIiIiIiISlM/cBUPkMBgP0ufkQhc7eFhqNxmT7MxiAvCIIxc4KMOGvgIiIiEjVRMuHTZ0TMx8mtVN7DJAwDlQci1sWSvoS/1p/KEQxJPIXWDvYmWx/0he440YIJfxxwJ7fKCIiIiJV5sOmzomZD5PaqT0GSBgHKo7dEomIiIiIiIiISFgsbhERERERERERkbBY3CIiIiIiIiIiImGxuEVERERERERERMJicYuIiIiIiIiIiITFuSyIiIiIiBQqN0+P4+dScehMMo6eTUFKer68POV6PiZ+cQBhwe5oGeKJ+rWdTTp9PRFZjiuJWTh0OhmHzyTj/KUMJKfnyctTM/Lx5aKTCAv2wINN3OHsaGPuQyWqNBa3iIiIiIgU5kxkGuYvP4v/rb2AzOzCMu/n5Rdh5v9OlrwOqV8Towc2wdDeDeDixAtcItHl5euxYksM5i2LwN7j18pdJzevCBNmHpCf29pYYeBjdeU40LqZJ4vdJBx2SyQiIiIiUojE5Bw89fo2hDy5CnOXnim3sFWe05HpGPPZXvh3/w1zlpxGcbGhyo+ViEzPYDBg2aYoBDy2DMPe+fuOha1/yy8owqJ1F9Fm6Do8PGIDzsdcr/JjJTIlttxSEO+2IeixanKpZYXZuciISkDkil2I+HEjDEXFUKrMkztx/r0upZZp7Rxh69sQ7p2HoVbvcdBY8U+eiIiIlGnJhkiMnboHaRkFld6HVAwbP22f3OJj4ZSOqF/bBSJRez4sYU6sXkmpuXjlkz1YuTXmvvYTfuQqWgz4A5+Nb4lXh4RAqxWrFZfa40CmSmOA8v5FhKhV4YjdfgTQaGDvWRMNBjyM1pOHo0aQH/ZOXAClc+00GDXCHpduW6AwLREpOxchduEbyIuNQMCY78x9eEREREQmb6nx/tzD+PT74ybb567DiXhoyFpsmv+YPCaXaNSeD0uYE6tLVGwGuo/chKjYTJPsT+q6/Mbn+3E0IkUudOt04nX6UnsccFVZDBDvL5TuKeVkNKJWhiNqxS6cnr8WG3q9g+y4ZDR8tits3cW6+1YZDvUehHvnoXDvMgze/Sei8Yx9sHb3R/KWH1B4Pcnch0dERERkUqYubN0kDT7fbeQmHDubAtGoPR+WMCdWj8sJWej8n40mK2zdbvH6ixj+/i4huyqrPQ44qCwGsLilAvrcfCQduQCNVguXAC+ojZWdIxwbtZEr1vmJkeY+HCIiIiKT+WX9xSopbN10PbMAj4/ZjNTrN2ZZFJXa82EJc2JlKigsQt/xW3AlMbvKPuPXDZH45LtjEJ3a44CVwmMAi1sq4Rx448ubn54FNbr55dU5uZn7UIiIiIhMIv5aNsZN3WvUNgeX9sWVLYPknxWVkJSDV6cb9zmWSO35sIQ5sfJIRafj51KrPA58/N1RHD8nXivOf1N7HMhXcAxQRXErOTkZkyZNQoMGDWBnZ4fatWvj1VdfRXZ2Nl544QV5mtO5c+dCKXT2NrB1c5abWtZsXAcPffYi3JvVk6vU0iB6SlecnwN9RrLc1DI35iQufzsGuVFH4RDUGnZ+Dc19eEREREQmMfrTPUjPNG7weG8PB/h7Oco/jfHL+kis23kZolB7PixhTqx8Upfhz34wvuVmZeKAXm+QuycWCTQQu9rjQLHKYoDiB5Q/duwYevbsicTERDg6OiI4OBjx8fGYPXs2IiMjkZp6o8odGhoKpXhg0iD5cbuYDfuw/+0foAYJSz+UH7er2bY/6oz6xmzHREREROYTm5iN71aelQs08Uk5sNJqEOjnhBeebIjhTzSEWw1biObE+VSs2XG52luI9OlcByJQez4sYU58i1SQ2bQ7FvOXn8Xuo1eRnauHs6M1urXxxeiBTdApzFtu8CCa6QtPoKio+sbCOnY2FRt2XUHfLgEQgdrjQILKYoBO6S22+vTpIxe2JkyYgA8//BDOzs7yezNmzMBbb70FnU4nB7LmzZtDKc4t3oyYdXuhtdbBtXEdNB3TD44+7ijKv3Vn7+H5rwNaDf4e9WXJMpuaTui3cxYOTVkkzywhKo/HRsK13QAYigqRe+kkEldNR0FyLDTWdiXrZJ4Ox8UpPctsa9AXwFBchLA/iqr5qImIiKgqZhH8aN5RfPrDsTIXgGci0zFh5gG8O+cw5r3bDiP6iXUXe/6yiGr/zAOnknD4TDLCgj1g6dSeD0uYE99w8XKGPCZVRFR6qeXSOHLL/4qWH22ae2L1193h5W4PUSQm52Dl1phq/9x5yyKEKW6pPQ54qCwGKLpb4vjx4xEbG4uxY8di5syZJYUtidRNsUWLFtDr9QgMDISLi3JmS8iISkRC+EnEbT+KU/PWYNvz0+ARWh9tp48qWWfv29+jVqtGqNuvfcmyNp+9iGsHzgr9BZbY+gTBJbQbaoT1hHf/SWjw7jrkXDyIy/NfLlnHOaQjHliWVeoRMu88dM4e8H32Y7MePxEREZnGhJn7MWXB0bu2bJCmu//PB+H4dnn1F4sqKzunUJ7BzBy+W3EWIlB7PixhTgxExWagw/PryxS2/m3fiSR0HL4eyWl5EMXPay6gUF/9XQT/2hOH6CqYlbEqqD0O2KosBii2uBUREYFly5bBw8MDU6dOLXedsLAw+adU5LrpZjGsdevWsLW1FbJ56r8lHTqHyBW75C+sZ8tG8rKC9CzsmTAfD336Iuy9XBHQqw2824Vg71sLoDROTdrBrfMwpP2zDFkRe8pdp7gwH1HT+sMpuAN8BrxT7cdIREREprVmxyXMWny6wuuP+WwvTl0wblBmczkSkSJ3qzKHvw8lQkRqz4fVmBNLLTcHTdqBqym5FVr/wqUMvDT5H4jCnN/F8COMAyJyUngMUGxxa+nSpSguLsaQIUPg5ORU7jr29vZlilsXL17EypUr4e3tjVatWkEpjs9agWJ9ER6YOLBkWdyOY4hZtwed5o5Hm2kvyV/q/DRlzhrhM/B9QGuF+CUflPv+5Xkvo7gwD4Gv/lztx0ZERESm9/UvFS9sSYqLDfjmNzFab0ldA83l/KXryMgybhB7S6H2fFhtOfH+E0k4eCrZ6KJ4TFymEIU7c8YBc372/VJ7HPBRcAxQbHFr+/bt8s8uXbrccR2plda/i1udOnVCQkIC1q5di27dukEpMmMSEb1mN3w7NUeth5qULD80eRGc63rLTTVjtx2BUtn5NIBbx0HIPLFN7ld8u2vrZuP6ofWo//ZqaG2NmzmIiIiILM/Z6HTsOGj8TFhSV7/MbMsv3Bw9m2K2zzYYbszQJiK158Nqy4nnV6KrsfT3vUCArrdxV3OQZMYulIcjxIwBErXHATsFxwDFDih/6dIl+WdAQPmD3Uljbe3evbtMcUurNX29r2XLlvKg9sawNmjxIVqb9DhOfL1SboIpVan/evojeZk+Nx9Zl64hLeL+ZttpGNQQhRrT9fnW2NjD66sLMCXvAe8iNXypXKVu9OkOeVnmiR2IXfQWgj74E7Zegfe1/4YNg2AoqFizZyIiIqo6OTZNAacBRm8ndfWrH9wONkWW3eUm2WkIYFP+APgHl/aFt8edL0q8PexLfl7ZUnoWsfIGrG41eG2Z5U8OGAb7wqovAIiWD5s6J66KfLiqc2JLyoevurwC6LyN3m7W/JVY/PmTsGSFVl5AjdGVigHGxIE7xYD9h07C3//WuE0ixQAJr4vftdjrYqkH3aFDhyq1rWKLW9nZ2fLP3Nzyf6nSeFzSbIrSIPN169at0mORCltxcXFGbWOjsQK8jPycvafxs8/Td3z/+oU4LPK/1fzSlOIT4lFgMN1MClKl2Mh/PpybdUbYmjsPGGtfu0mp2R7yr8Yg6vNn4D/8c3nb+xUfH4/i/Jz73g8RERHdJ9dAoPxRKe4pKTkdyDEub6t2gQWATflvSRe1/l6O99yFzkpbofXKk5p2Hbhe9b8j0fJhU+fElcmHzZ0TW1Q+7Kit1NVufkGx0ddu1c5OB9S4vxhwP3FArzdUy++oMjFAwuvizqq8LlZscUuq+KWlpeHIkSNo27ZtqfekbocTJ06Unzdv3rzKB42XjqUyVWpU/+QXlebr42vyCnVVkr5skVP7oUbrvqjVa6xJ9unr62sxd6qIiIjULNfaDqmV6Y+k0aCWuzOsXf1gyVJsdci7S0uLu5FaakgXtPqiYiQm3z1vudO+3FxdYO9U9b8j0fJhU+fEVZ0PV0VObEn58DWrQhRWYjs7m2K4+1l2DCi0csO1SsYAY+LAnfalk2pO1fA7UnsMUON1sXclaieKL25J42VJMyZOnz4d3bt3R8OGN5puHzx4EMOGDZNbbUlCQ0Or/Fgq06yuMCcPv9YfClGcv3Ae1g52JtufNAFQx42oMml7ViI3+jjy4s7Ls0X8W8jcM7DxrGPUPs+fvwB7xX6jiIiIxHE9swC+XZciJ8+IGQU1GjSo44Jzx45Aq7Xs2bJfnbYXs5ecKfe98roQ3U7qgiS11JAuaGt3/61Sn7/zr9/RrKEbqppo+bCpc+KqzoerIie2pHz44wVH8cE3xo+d9M3UkfjPkzNhyaRJHWq0W1ypGGCKONDjkZZYN/fG+NVVSe0xQMLr4oqzkNBjepMmTcKSJUtw5coVhISEoHHjxsjLy5NnQ+zZsycCAwPx119/lRpvS602PfUh1Ma9yzD5QURERMpTw9kGQ3vXx3crzhm13SvPNLb4wpYkLNjDbJ9tb2eFJvVqQmnUmA8rPSd+sX8jTPn2KPRFd+6e9W81nW0wqEc9WDoXJxs0DKghz16qthhUldQYB9wVFAMUO1uiv78/wsPD0atXL9jZ2SEmJgZubm5YsGABNmzYgPPnz8vrsbhFREREpDxvDGsKZ0frCq9fx8cRI/qVP0i7pTHnhWWLhm7Q6RR7CUEK4uPpgJefuTUbXkW89Z/mcLCUpmf30DLEfHFAqcUtEpuiz0xNmjTB+vXrkZmZKT/279+PkSNHyoPNS8UuaWbEpk2bmvswiYiIiMjEGtWtiVWzusJBGnj5Hrzc7bHxm8fg6mILEUgtp6QulObwRJfyZyInskRfvvkQnuhSsS5VowY0lotboqjov8vUpJsGnVtVflwkoqqi6OLWnZw+fRoGgwFBQUFwcCg7TeqKFSvkx5kzZ0q9ruyUlERERERU/bq18cPfPz2OLq18yn1f6oLY75EA7PulD0IauEIU0nFLXSirm421Fv8RpHUbkcTaWouVX3bFR688AA/X8sdBksae+vqtNpj/Xrsqn2jMlKTYJQ0MX92e7xsEZ8c7TNdKZEZitLk0sZMnT961S+KAAQPKff3888/j559/roYjJCIiIiJTaBniie0/Po4zkWn4dUMkvvrlFHLyiuTWB6f/6I/a3k4Q0fAnGuK9uYeRm2e6KefvZcCjdVHLvfovponuh5WVFh++8iD++0IL/L45Gi9/vBvZuXo42uvwy9SH0btTHSG72tpYW+Glpxrh4wXHqvVzzVFYJ6oI8b7F1VDcklp1lfdgYYuIiIhITMH1XfHp+JYlXQ9dHK2FLWxJ3GrY4sOXH6i2z3NysMYnY8Oq7fOITM3WxgpDezeQB42XSD/7PRIoZGHrpgnPNZNbnlUXqeumFEuJLJG43+QqLG6JyjU4AL02TkW/XV+h+5J3YevuAu+2IRga9Sv6bvkcdu43xmZoMOgRPLH9Czx3ZRmCX+pVah8t3x+Gpw/NxyM/TYIIcqKPI+LN1jg9pgkufNQDhdeTkHlyJ44MsMeZ10JRmH5NXi9560KcHt8Mh5/U4erar0rt427vxf40ESdeqIOLn/Wr1n8XERERUUUubFs39ayWz/r8jVYI9HOGqPnvg28/iyfDv0bfrTPRe9N0+Ha+dR3g3/VB9P5rOobFLEXrKcNL7T94ZG/03zNH3pfo+XDc4nflnFdaJj1Sd/1Wsg/mw+LODPvDRx2q5bOkSTekOGCJKhoHbqoR5Ce/d/v3XeQ4UNEYEPP1cJwY4VcSA6TvtpJigCq7JW7fvh1K1OGrsdj9+jdIPR0jF7BaffAcLv62AxmR8Vjb/dYfbsqJSOwc9SWajetfZh+HPl6M9HNXUKdna4hA+oIGjv8JDvVC5S9k7E9vwqPrCNj5NULwV7ea6DrUD0O9icuRuGJqmX3c7T3/EZ/Drk4I0vevrvJ/CxEREZExpBYnP3/SCW2GrkVGVmGFtklMzin1syJ6d6ott9iwRBXNf6/uj8DxWStQlFcgXwj3/GMKloeOhD43HxnRCdj9+jwE9mkLa8fS4zKd+W49Uk9Gl7nYFTEf9npyIvyGfSo/L0iJky+EXUK7QefiwXxYYI+198fYwcGYu/TGeNFVEQesdVr875OHLXasrYrGAYlGZ4V2n7+MS38eKLVc5DhQ0RhwMw549X0N/6aEGKDKlltK5Na0LvQ5efIXWhK5fCdqP9oSWpuy9cu0M5dw/UIcUFwMkeVEHYWVvZP8JZa4d3ke1w+shUFfUGZdh7otYF+7CTRarVHvEREREVn6zIkb5j4qjx9UEa0Gr0Xt7r/JPyui44NeWPb5IxY50LYx+W/c9qNyYUuSFnEZ0GhKWnNkRCXI+bFBX6zofFjnVLPkeXFuljQWCwz/fz3AfFhsX016CIN61Kvw+sbEASsrjTw2Wec7TMwhUhyQhL4xADHr9iIzKqHUclHjgDEx4G6UEANU2XJLiZzq1IJr4zqlmkrq7G3h4O0Gpcq/Go3cSyflJpU3FefnyHeiiIiIiNSiw4Pe2PpdT/QZvwXJaXkm2+/jHf3x+8yucKhg4UyU/DdoUBdkXbqKrNgkqC0fvrZuNq5t/AaFKbEIGPsDrGvWqsajpaocNF8qQLk4WeO7FedMtl97Oyssnd4FT3QJgKUyJg54PBAEz7CG2DxwCkInPAMlMD4GfI2UrQth41kHvkM+KSmKKYFlnqmoUpKOXsCWwZ+UvB506kconWPQQwia/FfJ6+PDqmfcCSIiIiJL0qZFLZxa1R+jP9mDVdtutGCoLKkV2IzXW+HlZ5pAq7W8Flv3k//6dGiGFhMGYPPAj6HGfLhWn/HyQxqjJ3rWULiEPgqdi3s1HSlVdYFrwQcd0L2NH0Z/ugdJ91no7hTmjYVTOqJ+7dLjVYkaB6zsbdBm2ovY+eIXUJqKxgDfoZ/C2tVHbp2VtvcPXJjSE03nX5BbfimBuG3OqBTp7pOjn0fJa2sne+gc7JCTmAqlsvWqh4LkyyWvi3IyUJSXDRt3P7MeFxEREZE5eLnbY8WXj2D5zEfQvKHxrfelcXWkrk0nV/bH6EHBFl/YMjb/9WobjPZfjca256bJY/GoOR+WuiDZuPkh89TOajhKqk5PP1oXp//oj5cHNIaDnfFtWer5O2Peu+2w48fHhShsVTQOOAd4w8nPAz1WfoSnD8yTJ1aTxufq8PVYqCUG2Lj7lXQ7dG37JKzsXZAXZ7qWfubGllsKIfUxLi4sgk+n5kjYdQKNhz+G6DW7UVygh1JJTSg1VtbIOLYFLqHdkbRxHtw6DIRGZ5kDHRIRERFVNWlsrAGP1sXT3QOx9/g1LPj9LHYdTkRMfFa569tYa+VCWL8uAXihf0N4ezhAifmvV5sm6DhnHLYPnyGPq6PGfDj38hnY1wmWn+cnRMpj9djVvvGalMXTzR7z32+Paa+1wqJ1F7Dsr2gcjUhBTl7514Y+ng5o16IWXuzfCI+287P4wnZl4kD62cv4rekLJa+lbok2NRxw4IOfoZYYUJAcCxsPf/l51rl90GemwM6nAZSCxS0F2TXma3T4agxspr2EzJhE7Bo7G66N6pRZr8EznfHAW4NhU9MRdXq0RsjLfbHt+WlIPRUN0dR941fEzB6By/Nfga1PA9R94xfkXjpVZr3kbT8j/tf3UJSVJs/ycHX1TDR4bx0c6j1w1/eIiIiIRC1ytQv1kh+SlPQ8HDubipTreSjUF8POxkpuoRHSwBU21lZQev7b/ovRsLKxRodZo29tO26OfMErdVWUWm9YO9vLv7eAXm2x7+3vcWXzISgpH4773yR5fB6NzhoarQ51Rs2VB5CWMB9WphrONhj3bIj8KCoqxtno6zh/6Tpy84rkgeJrONmgRSM3ubglsorGgbsROQ5UNAbEfD0chdevQqO1gtbGHvUn/Q4rxxqKiQEsbimIdHJe3+Ote653cflO+aEE9oHN0OTLewccj67D5Yex7xEREREpgXtNO3Rt4wu15r+r2o+743sJ/5zE72GjoPR8uMH76+/4HvNhdYzJJRWzpYda48Dtjn2xXDFxoKIxoOHHWxUdAzjmlsIVFeph6+oszx5xc7rju2n5/jA0G/ck8tPLb7ouAqkJpj4jRZ4xojD92n3tK/aniUhcMRU6R+WdBIiIiIiUyNj8926CR/aWB6HOS82ESJgPk9qpPQ5oVBgDNAaDwWDug6CyCnPy8Gv9oRDFkMhfYO1gZ7L95eqBjhshlPDHAQudKZuIiIj+n3+3pYi7lgO/Wg6I3TrY3IdDCsqHTZ0TMx+uGowB4lB7DJAwDlQcW24REREREREREZGwWNwiIiIiIiIiIiJhsVuihZL+W/S5+RCFzt5WnlXCVKS/yrwiCMXOSpqZyNxHQURERHfDLkniEC0fNnVOzHy4ajAGiEPtMUDCOFBxFt4jWr2kL4Qp++qKRvoyWHp/fSIiIiKqOsyHmQ+Tuqk9BkgYByqO3RKJiIiIiIiIiEhYLG4REREREREREZGwWNwiIiIiIiIiIiJhsbhFRERERERERETCYnGLiIiIiIiIiIiExeIWEREREREREREJi8UtIiIiIiIiIiISFotbREREREREREQkLBa3iIiIiIiIiIhIWCxuERERERERERGRsFjcIiIiIiIiIiIiYbG4RUREREREREREwmJxi4iIiIiIiIiIhMXiFhERERERERERCYvFLSIiIiIiIiIiEhaLW0REREREREREJCwWt4iIiIiIiIiISFgsbhERERERERERkbB05j4AKp/BYIA+Nx+i0NnbQqPRmGx/BgOQVwSh2FkBJvwVEBERkYqJlgtKmA8yHyTTUnscYAwgY7C4ZaGkIPZr/aEQxZDIX2DtYGey/UlBrONGCCX8ccCe3ygiIiJSYS4oYT7IfJBMS+1xgDGAjMFuiUREREREREREJCwWt4iIiIiIiIiISFgsbhERERERERERkbBY3CIiIiIiIiIiImGxuEVEREREip9x7HJCFjbviUVuvl5elldQhGspueY+NCKqJnn5ehw8lVQSA3Lzi3DsbAoKC4vNfWhEZAIcx5+IiIiIFCe/oAgrtkTj1w2ROHQ6GUlpeaXeT0nPh1eXJfD3ckSb5p4Y/kQQerT3h5UV7/0SKcWFS9ex4Pez2Lo/Hqcj06DXG0reS72ejweeWQ0bay2aN3RDzw7+GPlUY/h7O5r1mImocljcIiIiIiLFyMnVY+qPx+UL2n8XtMoTezUbK7ZIjxjU9XPGa0NDMGZQExa5iAS29/hVfDT/KDbvibvnugWFxXIBXHp89sNx9O1cBx+PCUNIA9dqOVYiMg0WtxTEu20IeqyaXGpZYXYuMqISELliFyJ+3AhDkXKb3Wae3Inz73UptUxr5whb34Zw7zwMtXqPg8aKf/JERERKFX44ESM+2IXIK5mV2j46LhOvTt+HJRsj8fMnndC4bk2Ihvkg80E1y83T4/25h/Hl4lMw3GqkVWFFRQb8se0SNuy6go9eeRAThzeDTideoZtxgHFAjfg/qkBRq8IRu/0IoNHA3rMmGgx4GK0nD0eNID/snbgASufaaTBqhD0uDbCBwrREpOxchNiFbyAvNgIBY74z9+ERERFRFYyp9en3x/DBN0cqdUH7b/tPJiF0wGr8OLkDhvRqABExH2Q+qDbSuHo9XvkLEVHp970vqTXXO7MPYd3fl7FuTne417SDiBgHGAfURLwyNN1TysloRK0MR9SKXTg9fy029HoH2XHJaPhsV9i6u0DpHOo9CPfOQ+HeZRi8+09E4xn7YO3uj+QtP6DwepK5D4+IiIhMXNh6++tDeH+uaQpbt4/ZNfTtv/HDynMQEfNB5oNqEh2biQ7PrzdJYet2e49fQ+f/bERyBbo4WyLGAcYBNWFxSwX0uflIOnIBGq0WLgFeUBsrO0c4NmojV+zzEyPNfThERERkQl8uOoXpC09U2f5HTvkHa3ZcguiYDzIfVKq0jHx0H/UnriRmV8n+T11MQ8/Rf8mzLYqOcYBxQMlY3FIJ58AbwSs/PQtqdDN46ZzczH0oREREZCInzqfKrbaMcXBpX1zZMkj+WRFSa7AXP/oH11JyITrmg8wHlejVafuMGmfP2BggkQabn/LtMSgB4wDjgFJxzC0F0tnbwNbNuaRvdaPnHoV7s3pylV4aRFDpivNzoM9Ilrsp6NMSkbTpW+RGHYVDUGvY+TU09+ERERGRCRQWFmP4e7tQqDduUGRvDwf4ezkatY3UJWnMZ3vw+xddIQrmg8wH1WDdzstYvP5ilccAyfSfTuDJrgFo1dQTomAcYBxQE1UUt5KTkzFjxgysWrUKsbGx8PT0RP/+/fHZZ59h/PjxWLhwIebMmYOxY8dCCR6YNEh+3C5mwz7sf/sHqEHC0g/lx+1qtu2POqO+MdsxERERmVNxsQF/7Y7Ftv3xyMwphKO9Dh0e8JanvBdxJjDJz2vO4+jZlGr7vBVbYrDrUAI6tfSBCJgPMh/8t6spuVi87iJi4jPlmOBbywHPPl4f9fzFHHupqKhYnt20uki/s9c/349//tcbomAcYBxQE8UXt44dO4aePXsiMTERjo6OCA4ORnx8PGbPno3IyEikpqbK64WGhkIpzi3ejJh1e6G11sG1cR00HdMPjj7uKMovKFnn4fmvA1oN/h71Zckym5pO6LdzFg5NWSTPrCEqj8dGwrXdABiKCpF76SQSV01HQXIsNNa3ZjnJPB2Oi1N6ltnWoC+AobgIYX8UVfNRExERmZ50t/q7Fecw46cTiIot3W1n1uLT8KvlgFeHhGDC882g1Wog0r/rm2UR1f650meKUtxiPsh88KYriVmY9OVBrNwaU6alozTDaM8O/pj2ais0ayhWN62/9sQhOq7i3RFNYffRqzh+LgUtGrlDBIwDjANqIuatOiNabPXp00cubE2YMAEJCQk4cuSI/Hr69OnYsGEDDh48CI1Gg+bNm0MpMqISkRB+EnHbj+LUvDXY9vw0eITWR9vpo0rW2fv296jVqhHq9mtfsqzNZy/i2oGzQgcwia1PEFxCu6FGWE9495+EBu+uQ87Fg7g8/+WSdZxDOuKBZVmlHiHzzkPn7AHfZz826/ETERGZqgAktWp4+ePdZQpbN8Vdy8GkWQcx9O2dcisIUUgzmB0/d+MGZXVatS0GCUk5EAHzQeaDkrPR6WgzdB1+2xRVbhdeaUy5jeGxaP/8eoQfToRI5pmhwG3Oz60MxgHGATVRdHFL6nIodUOUuhvOnDkTzs7OJe9NmjQJLVq0gF6vR2BgIFxcxGyOWxFJh84hcsUuOWB5tmwkLytIz8KeCfPx0Kcvwt7LFQG92sC7XQj2vrUASuPUpB3cOg9D2j/LkBWxp9x1igvzETWtP5yCO8BnwDvVfoxERESm9sX/TmHOkjMVWnfpn1H471fGDcxuTn9sM8/shXq9ARt2XYGImA+qLx9Mz8hHz1f+Qvy1exdkM7ML0Xf8FkTFZkAEuXl6bNoda7b4I908EBHjgPrigJootrgVERGBZcuWwcPDA1OnTi13nbCwMPmnVOS6acWKFXjqqacQEBAABwcHNG7cGO+++y6yssSeTeL4rBUo1hfhgYkDS5bF7TiGmHV70GnueLSZ9pIc1PLTxP533onPwPcBrRXil3xQ7vuX572M4sI8BL76c7UfGxERkanl5Orx2Q/Gzew1e8lpJKWKMSPg4TPJqvzs+8V8UF354E9rLiAmvuL/l+mZBXJ3ZRFILTeLisxTYEpKy0Ps1WyIinFAXXFATRRb3Fq6dCmKi4sxZMgQODk5lbuOvb19meKW1MLLyspKHmz+zz//xCuvvIL58+ejR48e8v5ElRmTiOg1u+HbqTlqPdSkZPmhyYvgXNdbbqoau+0IlMrOpwHcOg5C5oltcr/q211bNxvXD61H/bdXQ2vrYLZjJCIiMpVlf0UhLePWmCoVUVBYjIWrz8PSSS0mjlTjQPL/djhC3OIW80H15IPS4Ofzlxvffe5/ay8gK6cQls7c30ORi9yMA+qJA2qj2OLW9u3b5Z9dunS54zpSl8V/F7fWrVuH5cuXy0Wxhx9+GK+++irmzp2L3bt3459//oHITny9EsVFpav0+tx8ZF26hrSIy1A67wHvAlptqSp95okdiF30FupN+h22XoFmPT4iIiJTWbOjct32Vm83T3c/Y6Rez8f1TOMKd6YUHSd2awbmg+rIByOi0nHhkvFdDKXuiTsOJMDS3WkcwerCOCA2tcQBtdEYRO0wfA+1a9eWi1dHjx4tdyZEaawtHx8fedB5adbEevXq3XFf58+fR6NGjbBkyRIMHjzY6GNp2bKlPIi9MawNWnxY3BrVocfKybiy5TBOf7u20vuYrD2AQo3pWrZpbOzh9dUFVKX8qzE4+2Yr+Az6ELV6jb3v/V19LQiGAjG6cxARkbIlOf8HBdYBRm+nK0qG1/U5sGRFGmckur55x/cPLu0Lb48733H39rCHzkoLfVExEpPvfN5OTM5Bq8FlcyONIR++aZ+hqlVnLihhPqisfDBfVwfJLi9UatuaWavgWHAclizdoRey7VpXaQy4WxxwydkK57yqH2xd7XGgOmKAqeOApcQAUXl7e+PQocqNAaqDQmVn3+gHnZtb/h+WNB6XVNiSBpmvW7fuXfe1Y8cO+WeTJreabRpDKmzFxcUZtY2NxgrwgjDiE+JRYDDdNKlSM9Cq/OcX5+cgcmo/1Gjd1ySJjCQ+Pl7eLxERkdkFZgHWxm+mL8gxOmepdlbOgOud35Yuav29HO+5G+nitiLr/ZuhWF8tvyPRckEJ80ELygftrYFKzpeVnnoN6dctPA74ZAB25okBkozrachIZhyo6jhQ1TGgKuKAxcQAFdIpueKXlpaGI0eOoG3btqXeS0hIwMSJE+XnzZs3h0ajueN+pOTl/fffl8fcKq8FWEWPpTJVegg0xJevj6/J79RVpbQ9K5EbfRx5cefl2TL+LWTuGdh41jFqn76+vqzSExGRRbiuS0dlOs3Ya1Ph5ucHS2aADvGGYkCjvWNLi7sxpuVWeayQD+9q+B2JlgtKmA9aTj5YrLFCoqEQBo0RVW6pQ49Gg1ouhbB2suw4kGGnxZ06JpoqBtxtXzWdbeBoyzhQ1XGgqmNAVcQBS4kBoqpM7UTx3RLHjx+POXPmyN0Tt27dioYNG8rLDx48iGHDhiEqKgqFhYUYM2aMPKZWeaQZEjt37iy3vJK2k7oxVpfCnDz8Wn8oRDEk8hdYO9zh9kkl5OqBjhshlPDHAXvFlouJiEgkFy5dR8M+K4zebs/i3mjbwvKbCTTrvwqnLqZVatsrWwbJrTWk2c5qd//N6O2f6haIFV92RVUTLReUMB+0rHzwhQ/DsfAP4yaJ6NzKBzt+fByWbt3Oy+g7fotZYoDk8G9P4MFgD1Q1tccBxgAyhmIHlJ80aRLc3d1x5coVhISEoFmzZggKCkLr1q3l8bUeeeSRMoPJ307qztinTx9ER0dj8+bN1VrYIiIiIrofQQE10LODv1HbhAV7oE3zWhCBdKxq/GwiY4wZaPyQKmMHVW4YluoWFuxuts+2sdaiadBd+kYTkVkotrjl7++P8PBw9OrVC3Z2doiJiYGbmxsWLFiADRs2yIPE36m4JbXoevrpp+WBzP78808EBweb4V9AREREVHk/Tu6IAF+nCq3r4WqH32Z0uetQDZakU1jluy3cr44PWn7LNiKJ1LLoizcrPhj5mEFN0L+bGLPE+dZyRP3azmb57IeaecLG2sosn01EKixu3RwAfv369cjMzJQf+/fvx8iRI+XB5qVil1arRdOmTUttU1xcjCFDhmDbtm1Ys2aN3NKLiIiISDQ+ng745+feCG3sdtf1GtRxwT8/95J/iuKZx+rCxakSI+bfp+D6NdH+ARa3SBxvPNcMc99pC2vdnS/7pJr2W/9pjtn/bStMgVsy8qnGZvncUQPM87lEpOLi1p2cPn0a0lBjUjdFB4fS08RKY3D9/vvveP311+X39u3bV/JISkoy2zETERERGcvf2xGHf+uHP+c9hj4P14GD3a2BQGyttVg1qysiVj+FRnVrQiRODtZ4vm9QtX/u6IFNhLr4J5KMGRSMy5sH4pOxYajrd6u1k1arwaQRzXBxwwBMe62V/Fok/3myIWxtqrcFldTK9enudav1M4moYlRZ3Dp58uQduyRK3RAl06ZNk2dZvP0hdWckIiIiEol0wdqjgz/WzumO7APPw9fTvuQi7cmugdDdpUWHJXttaAjs7arvwtavlgOe69Og2j6PyJS8PRzw7shQRP35TEkM8PGwx/TXW6OevzitNm8nxbBRTzeq1s+c+Hyzai+oEVHFiJnNVGFxS+quKLXqKu8xfPhwMxwtERERkekopeWRdEE+dXzLavu87z/sAGdHm2r7PKKqopQYIPl0fMtSrdGqUqumHnjjudJD2hCR5VDlJJV3K26JzDU4AO1mvgxrJ3tkxyZh17g5cG1YG91+fQcZkfHYPOhj5KVk4MG3n0XA4w+hKL8QxfoiHJm2BPE7j8v7CB7ZG42HPwZ9dh7Wdp8IS5cTfRyXvnkJxbmZsPEMQODri5F3+TQuTOkJO79GCPpoM6xr1kLy1oW4unYW8q5EwH/ETHj1fa1kH3GL30Ha3lXQWttCY2UN36GfosaDj8nvXV0zC0kbv4HW3gnBXx0z47+UiIiI/m3csyFYuTUG4UeuVnibxOScUj8r2v2pZ8faUGr+1+SFx9FwaDdAvqELnJq3GlErw+X3Avu2Q+iEAXDwcsOSxs9D1FwwbvG7SD+4FhrtjVY33v3/C7dOg+TnzAXFJXVRXjilIx55caP8t1tVMUBqrfXTlE4W29K1onHgphpBfujz1wyc/2ULDnzws2riQMzXw5FxbAt0NTzl7VxadIf/iM/l54wD4lNlcWv79u1Qog5fjcXu179B6ukYNBj0CFp98Bwu/rZDDmi3F6qu7o/A8VkrUJRXIAfCnn9MwfLQkdDn5uPMd+uRejIaraeI0UpNClCB43+CQ71QuYAV+9Ob8Og6Qg5itwceh/phqDdxORJXTC2zD6fgjvB55n1obe3lwHjunU5o/lM8rOwc4fXE63Co9wCu/HirGEZERESW0+VyxRdd0XH4Bpy/dL1C27QavNaoz+jcygdz324LJed/6eeuYGPf91CYmQMHX3f03fI5kg6dR+alq4hZuwfJRy6g79aZEDkX9HpyIvyGfSo/L0iJw+kxTeAS2g06Fw/mgoKTvqPfvNMOoz/dUyUxwMpKg6XTOyOkgStEjwMSjc4K7T5/GZf+PFBquRriwM1YcHtDh5sYB8RnmaVnMppb07rQ5+TJAU0SuXwnaj/aElqbsvXLuO1H5cRGkhZxWZ4ixc5dvL72OVFHYWXvJAcxiXuX53H9wFoY9Df+bbdzqNsC9rWbQKMt+ydfI6ynHMQk9gHN5LsV+uucPICIiEgEtdztsePHnvJMhqbW9SFfrJvTHfa3DcSvxPwv4Z+T8gWtJCc+BbnX0uHo6wEl5YI6p1t/H8W5WTdapxQXy6+ZC4rvlYFN8M07pi9CS7NM/ja9izw+oaUyJg5IQt8YgJh1e5EZlVBquRriwN0wDojPMs/UZDSnOrXg2riOXGG/SWdvCwfvu0//HTSoC7IuXUVWrHhf3Pyr0ci9dBJnXrsRyCTF+Tny3bjKStn2E2y968GmVoCJjpKIiIiqmm8tR/zzv94YN3Uvft0QaZIWYW8+3xRTxoRZ9ODRVZH/+XRsBpsajkg+dhFKywWvrZuNaxu/QWFKLALG/iB3U/o35oLiGj0oGIF+znhp8j+Iv1bxLod3EhTggp8/7oR2oV6wZMbEAY8HguAZ1hCbB05B6IRn7rhPZceBr5GydSFsPOvAd8gnJUWx2zEOiInFLQVJOnoBWwZ/UvJ60Kkf77q+T4dmaDFhADYP/Biicgx6CEGT/yp5fXzYjf7TlZFxfBvif5uMhpO3KGqgTSIiIjVwdbHFL1M7Y8CjdfHKJ3uQkFS5i9sm9Wpi4eSOaNOibOFD6flfzcZ10GHWGPz98iy5u6LScsFafcbLD6nLUfSsoXAJfRQ6F/eS95kLiu/xjrVxalV/vD5jP/639kKl9iF1Qxz/bDA+GdsSDvY6xcQBK3sbtJn2Ina++MVd96XkOCCNo2Xt6iP35knb+4c8JlfT+Rfkll83MQ6IS4xvK92TdPfN0e9Ws1FpMEGdgx1yElPLXd+rbTDafzUa256bJvfFFpGtVz0UJF8ueV2Uk4GivGzYuPsZva/MU38jZvYINHhvHez8q3dKYSIiIjKdJ7oEoEd7f6zcEoN5yyOw++i9B5uXrl+ki+IxA5vgsfb+csstteV/NRr6o9vit/HPG/Nw7cBZKDkXlIarsHHzQ+apnXBt95S8jLmgsgrdP3/SCe++1ALf/n4WP60+j7SMe3dR8/awx8inGuOlpxrB39sRoqhoHHAO8IaTnwd6rPxIfm3j4ghoNbCp4YR/Xp2rijhw+zLXtk8ibtF/kRd3Do4NwuRljANiY3FLIaQ+1sWFRfDp1BwJu07IMx5Gr9mN4gJ9mXW92jRBxznjsH34DKSduQRRSU1IpZkspBkvXEK7I2njPLh1GAiNzrhpujNP70L0rGFo8O4aOdkhIiIisUldCZ/tVV9+xMRl4tDpZByOSMaZyHTk5Onl4pWTvTWaBbmiZYgHWjX1hJf7jbFW1Jj/STOndf/lHeyZ+K28HyXmgrmXz8C+TrD8PD8hUh6nx672jdfMBZUpKKAGvnjzIXw6LgxHz6bg8JkUORZcS81FQWExbG208KvliLBgD4QFu6NFQ3dYW2sVGwfSz17Gb01fKHktdUu0qeFQMluiGuJAQXIsbDz85edZ5/ZBn5kCO58G8mvGAfGxuKUgu8Z8jQ5fjYHNtJeQGZOIXWNnw7VRnTLrtf9iNKxsrNFh1uhb246bIwc80dR941e5un55/iuw9WmAum/8gtxLp8qsl7ztZ8T/+h6KstKQvn81rq6eKVfkpVkvLs15AYbCfHk/Jft9bTHsA5tV87+GiIiITE0ag0d6PP1oXSiRKfK/hz7+D6ydHdDy3aGA9ABw6NNfEL/zOJSSC8b9b5I8No9GZw2NVoc6o+bKkw1JmAsqm52tDm1beMkPpapoHLgbNcQBaVbFwutXodFaQWtjj/qTfoeVYw35PcYB8bG4pSBScrK+x1v3XG9V+3FQCinYNPny0D3X8+g6XH6Up+m3leuPT0RERKSE/G/zoI8Vnws2eH/9Hd9jLkhqiQO3O/bFctXFgYYfb73je4wD4hOv3SUZpahQD1tXZ3n2jJvTPd9N8Mje8kCDeamZEJXUBFWfkSLPmFGYfu2+9nV1zSxc/nY0dM6WPw0uERERUWXyv7sJ7NsOXRf9F7lJ6RAFc0EixgHGAfXRGAwGg7kPgsoqzMnDr/VvNAcVwZDIX2DtYGey/eXqgY4bIZTwxwFBJlQhIiIV8++2FHHXcuBXywGxWweb+3BIIbmghPmgGPkgY4A41B4HGAPIGGy5RUREREREREREwmJxi4iIiIiIiIiIhMVuiRZK+m/R5+ZDFDp7W2g0GpPtT/qrzCuCUOysABP+CoiIiKoEuySJQbRcUMJ8UIx8kDFAHGqPA4wBZAz2BrVQUkAw5ZgFopECAvsqExERkVqpPReUMB8ktVN7HGAMIGOwWyIREREREREREQmLxS0iIiIiIiIiIhIWi1tERERERERERCQsFreIiIiIiIiIiEhYLG4REREREREREZGwWNwiIiIiIiIiIiJhsbhFRERERERERETCYnGLiIiIiIiIiIiExeIWEREREREREREJi8UtIiIiIiIiIiISFotbREREREREREQkLBa3iIiIiIiIiIhIWCxuERERERERERGRsFjcIiIiIiIiIiIiYbG4RUREREREREREwmJxi4iIiIiIiIiIhMXiFhERERERERERCUtn7gOg8hkMBuhz8yEKnb0tNBqNyfZnMAB5RRCKnRVgwl8BERGRqomWC5k6H2IuRCReHOA1EeMAmQ+LWxZKCuK/1h8KUQyJ/AXWDnYm258UxDtuhFDCHwfs+Y0iIiJSZS5k6nyIuRCReHGA10SMA2Q+7JZIRERERERERETCYnGLiIiIiIiIiIiExeIWEREREREREREJi8UtIiIiIiIiIiISFotbREREREREREQkLM5jQERERKRQkVcysHlPHA6fScahM8mIu5aDlPQ8+b2rKbl4/t2/ERbsgW5tfBFc39Xch0tEJlZYWIwt++Kw78Q1OQ6cvJCG+KQc+b2E5Fx0e+lPtAzxQKsQD/TsUBsOnOaOiATF6EVERESkIMXFBqz/+zLmLYvAX3vi7rievsiAResuyg9JpzBvjB7YBP27BsLamo37iUQWfy0b3604h+9WnkPC/xezyosV2/bHyw9JTWcbjOgXhFeeaYKggBrVfMRERPeHxS0F8W4bgh6rJpdaVpidi4yoBESu2IWIHzfCUFQMpco8uRPn3+tSapnWzhG2vg3h3nkYavUeB40V/+SJiEi5Ll7OwIj3d+Gfo1eN3nbX4UT5EdrYDT9/3AktGrlDRMyHmA+pmVSwmr88Am/NOojsXL1R26ZnFmDW4tOYveQM3nmxBd4bGQobayuIhjGAMYDUiX/VChS1Khyx248AGg3sPWuiwYCH0XrycNQI8sPeiQugdK6dBqNG2OOAwYDCtESk7FyE2IVvIC82AgFjvjP34REREVWJeb+dwZtfHkBuXtF97efY2VS0HLwGH738IN55qQU0Gg1ExHyI+ZDaxF3NxtB3/sbOgwn3tZ+iIgM+XnAMq7dfwtLpXRDSQMwuy4wBjAGkLmxzrkApJ6MRtTIcUSt24fT8tdjQ6x1kxyWj4bNdYevuAqVzqPcg3DsPhXuXYfDuPxGNZ+yDtbs/krf8gMLrSeY+PCIiIpMyGAx4++uDGPPZ3vsubN2k1xvw3tzDGDn5H7kliIiYDzEfUtv4eh2eX3/fha3bSeNzdRy+HgdOivn3whjAGEDqwuKWCuhz85F05AI0Wi1cArygNlZ2jnBs1Ea+a5GfGGnuwyEiIjKpKd8exbQfT1TJvn9YdR5jP9sjF9BEx3yI+ZCSW2x1felPxMRnmXzfaRkFeOzlTThxPhWiYwxgDCBlY3FLJZwDbwTw/HTTn/REcDOA65zczH0oREREJvNn+BV8NP9olX7G/OVnsfj/B50XHfMh5kNKI7WsfPa/O3GpCgpbt4/F9dQb25Bj5BhelogxgDGAlItjbimQzt4Gtm7OJf3LGz33KNyb1ZPvVEgDKSpdcX4O9BnJ8l1mfVoikjZ9i9yoo3AIag07v4bmPjwiIiKTSM/Ix0uT/zF6u4NL+8LbwwGJyTloNXhthbZ5dfo+dGvjC99ajhAF8yHmQ2rwzW9n5IkgqjoGSJNVvDf3EL6c2AaiYAxgDCB1UUVxKzk5GTNmzMCqVasQGxsLT09P9O/fH5999hnGjx+PhQsXYs6cORg7diyU4IFJg+TH7WI27MP+t3+AGiQs/VB+3K5m2/6oM+obsx0TERGZX+r1fFyKz0Sh3oBabnYI9HOGyN6ZfQhx13KM3k66qPX3cjS65ca4qfuwclZXiIL5EPOhf5Mu8i9cypBjgYO9DvX8neHkYA1RxSZm479fHaqWGCD56pfTePbx+mgZ4gkRMAYwBpC6KL64dezYMfTs2ROJiYlwdHREcHAw4uPjMXv2bERGRiI19Ub/8dDQUCjFucWbEbNuL7TWOrg2roOmY/rB0ccdRfkFJes8PP91QKvB36O+LFlmU9MJ/XbOwqEpi+TZRUTl8dhIuLYbAENRIXIvnUTiqukoSI6FxtquZJ3M0+G4OKVnmW0N+gIYiosQ9odpBuQlIiLz2330KuYti8Dvm6NRqL81/ftDzTwxemATPPNYXdjZipUSpaTn4ac1F6r1M//YHoOo2AzU8xdjIGbmQ8yHbrqeWYD/rb2A+csjcDb6eslyJwcdnusTJMcBEWcEXLDiLHLyqq+roDT0nlTg+mVqZ4iAMYAxgNRFq/QWW3369JELWxMmTEBCQgKOHDkiv54+fTo2bNiAgwcPylNcN2/eHEqREZWIhPCTiNt+FKfmrcG256fBI7Q+2k4fVbLO3re/R61WjVC3X/uSZW0+exHXDpwVOohLbH2C4BLaDTXCesK7/yQ0eHcdci4exOX5L5es4xzSEQ8syyr1CJl3HjpnD/g++7FZj5+IiEw3Fs2kLw/IM4gt2RhZqrAl2X8yCc+/twudRmzAtZRciOTnNReQl1+9Fx3She2C389CFMyHmA9JzkanI3TAH3LX2tsLW5KsHL1c+G7+9B+YvywCIikoLML3K89V++dKNwlEiZeMAYwBpC6KLm5JXQ6lbohSd8OZM2fC2flW94NJkyahRYsW0Ov1CAwMhIuLGHchKyPp0DlErtglB23Plo3kZQXpWdgzYT4e+vRF2Hu5IqBXG3i3C8HetxZAaZyatINb52FI+2cZsiL2lLtOcWE+oqb1h1NwB/gMeKfaj5GIiKqm297nP5+853oHTyXjsVc2ITP71t18S/fT6vNm+twLws6cyHxIffnQ5YQsPPLivWcRlArhoz/dg4V/mOd7VRmb/onFVTMUmQoKi+WbBSJiDFBfDCB1UWxxKyIiAsuWLYOHhwemTp1a7jphYWHyT6nIdVN4eDi6desGHx8f2Nrawt/fHwMHDpT3J7Ljs1agWF+EByYOLFkWt+MYYtbtQae549Fm2ktyYM9PU+bMIT4D3we0Vohf8kG571+e9zKKC/MQ+OrP1X5sRERkesfOpmD6whNGrJ+KGT/duxBmCTKyCnA6Mt0sn52UlofouEyIivmQuvKhCTP3IyGp4uPSjflsj9zlVwT7TiSZ77NPXoOoGAPUFQNIXRRb3Fq6dCmKi4sxZMgQODk5lbuOvb19meJWWloamjVrJo/JtXnzZrn74unTp9G2bVu5FZioMmMSEb1mN3w7NUeth5qULD80eRGc63rLzXVjtx2BUtn5NIBbx0HIPLFN7lt+u2vrZuP6ofWo//ZqaG0dzHaMRERkOlJXI2NJXXykrj6W7ujZFLN+/uEz5v38+8F8SD35UPy1bKzefsmobaSuvlKXXxEcjkg232czBghLTTGA1Eexxa3t27fLP7t06XLHdW4Wq24vbvXt2xezZs3CgAED8PDDD8vFMWmWxevXr2PlypUQ2YmvV6K4qPSdCn1uPrIuXUNaxGUonfeAdwGtttSdiswTOxC76C3Um/Q7bL0CzXp8RERkGrl5evy6wfhuM1IXnw27rsDSnbyQZtbPP3H+xmQ8omI+pI58aPH6i9AXGd+F9odV1T+OlWhx4OLlDOTkVt9A9qbGGKCOGEDqozGIOnDCPdSuXVsuXh09erTcmRClsbakrofSoPPSrIn16tW7475SUlLk7o1z587FmDFjjD6Wli1byoPYG8PaoMWHxa1RHXqsnIwrWw7j9LdrK72PydoDKNSUHqj3fmhs7OH1VdXeOcu/GoOzb7aCz6APUavX2Pve39XXgmAoEGOATSIiJdNra+BqzTcqta1LziY45+2FJcu064gMh27lvndwaV94e9z9jru3hz10Vlroi4qRmHzn81Zicg5aDS6bGzjm7UXNnE2oatWZC1liPlQduZCp8yFLyoXSHPogx66l8RsaCuGX9gksXbzrOzBobCsVB+43Bsj7SJsOK0PFu3xWFq+JeE1E6uLt7Y1Dhw5Valux5r02QnZ2tvwzN7f8L5Y0HpdU2JIGma9bt26Z94uKiuRujZcuXcLbb78t/5KfeeaZSh2LVNiKi4szahsbjRXgBWHEJ8SjwGC6rhxSU9iq/OcX5+cgcmo/1Gjd1yRBXBIfHy/vl4iIzMw6H6hZuU0zrmciI9m4c3a188wE7nDdKl3Q+ns5Vmg30sVtRde9XXZWDrITqv53JFouZOp8qKpzoarIhywqF/LLBewqs6HG6LzdLKQYp7m/OFDZGCBJTLwK6DNQ1USLA7wmsrA4QKqi2OKWVIySxs86cuSIPF7W7RISEjBx4kT5efPmzaHRlD0zSF0Sd+/eLT9v0KCB3M3R09Oz0sdSmbsUMF3Rv8r5+via/C5FVUrbsxK50ceRF3denjHk30LmnoGNZx2j9unr68u7FEREFqAYNkgwFAMa40dfcHXWwsHWD5Ysy9Ye1+/S0uJejGm1UR4nRxvU8Kv635FouZCp86GqzoWqIh+ypFwow74YlZn6wKo4C97V8Pd9vxKgRzFsKxUH7jcGSHy83KHFrZnoq4pocYDXRJYVB0g8lamdKL5b4vjx4zFnzhy5e+LWrVvRsGFDefnBgwcxbNgwREVFobCwUO5mKHU3/Ldz584hPT0d0dHR+Pzzz3Ht2jW52FWnjnFf7soqzMnDr/WHQhRDIn+BtUOlbo+VS+rG33EjhBL+OGCv2HIxEZFYnnp9G1ZtizFqGycHHeK2DoaLkw0s2aZ/YtFz9F+V3v7KlkFya43Yq9mo3f03o7f/3yed8FzfIFQ10XIhU+dDzIXuz9nodDR5wvjxct9+oQU+e7US3RmrWafh6xF+5KpZYoBfLQfEbh2M6iBaHOA1kWXFAVIXxQ4oP2nSJLi7u+PKlSsICQmRZ0AMCgpC69at5fG1HnnkkTKDyd+uUaNGeOihhzBo0CBs27YNmZmZmDFjRjX/K4iIiKgyRg+8NQtWRQ3r3cDiC1uSsGB3M3++h1k/n6giGtetiUda+xi1jVarwagBjSACc34PGQOIyBIptrjl7++P8PBw9OrVC3Z2doiJiYGbmxsWLFiADRs24Pz583ctbt2uZs2actfEixcvVsORExER0f165CEf9O9a8RmffGs54J0Xy05AY4k83ewR4Otkls92crBG47o1zPLZRMaa8UZrONhVvAnJpBHNEOBb9V3tTKFViKf5Prspi1tEZHkUW9ySNGnSBOvXr5dbXUmP/fv3Y+TIkfJg81KxS6vVomnTpvfcj9QlUeqmWL9+/Wo5biIiIro/0niav0x9GL071a5QF5u/5j8Gf+/KDaxsDkMeN09OMqhHXVhZKTp9JAWRWhitmd1N7nJckdaen46z/O6IN/V+uLZcbDaHwT15TURElkeV2cnp06chDTUmdVN0cCg93dDQoUPx0UcfYfXq1di5cye+//57dO7cGTqdDq+//rrZjpmIiIiMY2+nwx9fdcP899qhWZBrmffdathi4vBmOLCkL5oGuUEkI59uhHLmw6lyrzxjfHdPInPq1sYPB5c+gZeealRuK66OD3ph+cxHMPedtnK3RFFIXaiH9a7+IlOP9v6oX9ul2j+XiOheVFncOnny5B27JLZp0wYbN27EiBEj0LNnT3kw+Y4dO+LYsWNy10QiIiISh06nxcvPNMHxFU9i7+I+cHW+MaaWWw0bxG4ZJHdb8q0lToutm6SuU/0eCajWz2wXWgsPcqwdEnT8re8+7IC4rYOw4otHUPP/40AtNzvs+rk3Bjxat9zZ0y3dmEHB1V6QG/dscLV+HhFRRbG49S9jx47FgQMHkJaWhtzcXHlsLmmcroCA6k0giYiIyHSkC9c2LWrB4f+ncLK31cktu0Q2a+JDcHasnm5J1jotvn2vfbV8FlFVqelii6e614Xj/8cB6e9aZCENXPHGsHsPsWIqT3ULRM8O/tX2eURExhA7q6uC4pbIXIMD0G7my7B2skd2bBJ2jZsD14a10e3Xd5ARGY/Ngz5GXkoGHvjvYNR5tCUMRcXydifnrkb0mt3y85bvD0PgE+2QejIa20dY/uyQOdHHcembl1CcmwkbzwAEvr4YeZdP48KUnrDza4SgjzbDumYtJG9diKtrZyHvSgT8R8yEV9/XSvYRt/hdpB9cC43WSn7t3f+/cOs0SH4e+9NEpP6zDA71H0SDd1ab7d9JRERUXuutmRNaY9SUG+fwikpMzin1syI+eDkUzRq6CZ3/PPj2swh4/CEU5ReiWF+EI9OWIH7ncXkfjYf3QKPnusu5kUZnhfO/bEXEjxvl94JH9kbj4Y9Bn52Htd0nQtRc6G75DnMhcU0Z8yDW/X0Z52KuV2kMcK9pi2/ebWeRLdwqGgNuqhHkhz5/zcD5X7bgwAc/Cx8DjIkDMV8PR8axLdDVuDEhgUuL7vAf8bn8nHGARKfK4tb27duhRB2+Govdr3+D1NMxaDDoEbT64Dlc/G2HHNRvD8Sn563B0WlL5ecO3m7ot+srxIefQH5qJg59vBjp566gTs/WEIEUoAPH/wSHeqFyASv2pzfh0XWEHMSDvzpWsp5D/TDUm7gciSumltmH15MT4TfsU/l5QUocTo9pApfQbtC5eMjB3q5OCNL3M4gTEZHlkcYR2nEgAb9tiqrwNq0GrzXqM7q39cVbI1oIn/9c3R+B47NWoCivQL4Y7vnHFCwPHQl9bj4iV+7C2Z83yetJF8hP7PxSXj/1VDTOfLdevunXespwiJwL3S3fYS4kLqkF6tLpnfHwfzYiM7uwSmKATqfB4k8fhpe7PUSOARKpcNXu85dx6c8DpZaLHAOMiQMS6ft++43+25czDpDIxG6LSyXcmtaFPidPDuqSyOU7UfvRltDalK1fFmTcukujc7ST78BY4l2Ye8mJOgoreyc5iEvcuzyP6wfWwqAvKLOuQ90WsK/dBBpt2T95nVPNkufFuVmAwQBD8Y1WbURERJZMOn//79NOVTb+1sMtvfHHrG6wttYKn//EbT8qF7YkaRGXpV8e7NxvDIxdmHlbbuRgC61Op7hc6G75DnMhsT3QxAMb5j5aJbMnSoWtX6d2Rs+O95551tJjgCT0jQGIWbcXmVEJpZaLGgOMjQN3wzhAohPnW0t35VSnFlwb10HfLTealUp09rZyy6zyNHnhcbl5rYOvO/ZMmF+qqa4o8q9GI/fSSZx57UYglxTn58h3Gox1bd1sXNv4DQpTYhEw9ge52S4REZEIbKytsPzzRzB+2l58+/tZk+33mcfq4uePO1n02GTG5j83BQ3qgqxLV5EVm1SyLKBXG4ROHAiXQG8cmbpEbrGhtFzobvkOcyGxdQzzxvYfeuLpCdtwOSHbJPuUZpRd9Gkn9OpUB0qIAR4PBMEzrCE2D5yC0AnPlHlfxBhQuTjwNVK2LoSNZx34DvmkpCh24z3GARKX5WYrZLSkoxewZfAnJa8HnfrxjutKfcilh9Qsv9Pc8Yj/+zjy07IgGseghxA0+a+S18eH3eg/bqxafcbLD6m/evSsoXAJfRQ6F3cTHikREVHVkVpWzX+/PZ7oEoCXJv+D2KuVv7j1cLXDvHfbyTPIKS3/kfh0aIYWEwZg88CPSy2/tGGf/HDy90SXhZNwZethuVuTknKhu+U7zIXE16qpJ06t6o+JXx7EgvssdEutQee/1w7eHg5QQgywsrdBm2kvYueLX9xxP6LGAGPigO/QT2Ht6iP3Zknb+4c8JlfT+Rfkll8SxgESmWW2MSejSXcfHf1uTc8t9RXXOdghJzH1rtulnbkkr+PdLgSisfWqh4LkyyWvi3IyUJSXDRt3v0rvU+q+aOPmh8xTO010lERERNWnRwd/+eL203FhqO3taNS20ng6740MxelV/YUpbBmb/3i1DUb7r0Zj23PT7njRKrXmSj56AbW7hUGpudDd8h3mQmJzdrTBt++3R/jPvdC/ayCsrDRGj7G3dnZ3rJrVVYjCVkVjgHOAN5z8PNBj5Ud4+sA8BL/USx6fq8PXY4WOAcbGAWnZzWFaXNs+CSt7F+TFnSuzHuMAiYgttxRC6mdeXFgEn07NkbDrhNzlUJoBsbhAX2bdGg39cf18rPzcOcBL7que/v+vRSI1odVYWcszfriEdkfSxnlw6zAQGp2NUfvJvXwG9nWC5ef5CZFyv3W72jdeExERiaaGsw3eeSkUk0Y0x8bwK9i0OxaHz6Tg+PlU5BcUlaxnrdOiWZArHmzijm5t/PBk1wC5i6NS8x+vNk3Qcc44bB8+Q765d6fcyNbdBd7tmyJmwz4oKRe6W77DXEh5OjzoLT9iE7Px68aL2H8yCYfPJJfpsigVtcOC3dEqxBODe9ZDo7q3xl1SUgxIP3sZvzV9oeS11C3RpoZDyWyJosYAY+NAQXIsbDz85edZ5/ZBn5kCO58G8mvGARIdi1sKsmvM1+jw1RjYTHsJmTGJ2DV2Nlwble0j3/K9YXL/dEOhHsVFxdj3zo+4fsH4caosQd03fkXM7BG4PP8V2Po0QN03fkHupVNl1kve9jPif30PRVlp8iwfV1fPRIP31sGh3gOI+98kua+6RmcNjVaHOqPmyoPPExERiUyn06JvlwD5ISksLEZqRr5c4LKx1sLVxRa2NmIVs+4n/2n/xWhY2Vijw6zRt7YdN0e+6A1+8XF4PdTkxgWxRoMz32+QL5SVlAvdLd9hLqRc/t6OeOs/t2Y7vZ5ZgKycQmmscDg66FDT2UbIiaUqEwPuRuQYYEwckGZVLLx+FRqtFbQ29qg/6XdYOdaQ32McINGxuKUgUnK2vsdb91xv23NToRT2gc3Q5MtD91zPo+tw+VGeBu+vr4IjIyIisrxxuaRWGmrNf1a1H3fH9/ZO+g5Kz4Xulu8wF1JXy07pocYYcLtjXyxXTAwwJg40/HjrHd9jHCDRccwthSsq1MPW1VmeQeTmdNd30/L9YWg27knkp4s3uPxNUhNcfUaKPGNIYfq1+9pX7E8TkbhiKnSOriY7PiIiIrKs/Odugkf2lgeizkvNhCiYC5HaqT0GSBgHSG00BoPUKJUsTWFOHn6tPxSiGBL5C6wd7Ey2v1w90HEjhBL+OGDPtpBERBbNv9tSxF3LgV8tB8RuHWzuwyEF5UKmzoeYC1UdxgFxiBYHeE0kThwg5WHLLSIiIiIiIiIiEhaLW0REREREREREJCx2S7RQ0n+LPjcfotDZ25p0phXprzLv1mzlQrCzkidXISIiC8buSOIQLRcydT7EXKjqMA6IQ7Q4wGsiceIAKQ97w1ooKSiasr+2aKSAyL7aRERE6sVciLkQEeMA4wBRRbFbIhERERERERERCYvFLSIiIiIiIiIiEhaLW0REREREREREJCwWt4iIiIiIiIiISFgsbhERERERERERkbBY3CIiIiIiIiIiImGxuEVERERERERERMJicYuIiIiIiIiIiITF4hYREREREREREQmLxS0iIiIiIiIiIhIWi1tERERERERERCQsFreIiIiIiIiIiEhYLG4REREREREREZGwWNwiIiIiIiIiIiJhsbhFRERERERERETCYnGLiIiIiIiIiIiExeIWEREREREREREJi8UtIiIiIiIiIiISls7cB0DlMxgM0OfmQxQ6e1toNBqT7c9gAPKKIBQ7K8CEvwIiIlI55gLMBUjdRIsBErXHAcYAIvNhcctCSSeyX+sPhSiGRP4Cawc7k+1POol13AihhD8O2PMbRUREJsJcgLkAqZtoMUCi9jjAGEBkPuyWSEREREREREREwmJxi4iIiIiIiIiIhMXiFhERERERERERCYvFLSIiIiIiIiIiEhaHuyMiIiJFzzYWdzUHhyOScfxcKq5nFsjLr2cV4Oc159Ey2AON69aETsf7fURKlV9QhJMXUnH4TAqi4zKR/v9xIDO7EH/tjkVYsAc8XE03CDoREVU/FreIiIhIcRKScvD9ynP48Y9zuJyQXeb9rBw9RrwfLj93sNPh6e6BGD2wCVo38zTpNPZEZB7FxQZs2RuHecsi8Oc/sSjUF5dZJyO7ED1e+Ut+Hly/JkY93RjP9WmAmi62ZjhiIiK6HyxuERERkWKkXs/Hm1/sx+L1F6HXGyq0TU6eHovWXZQfLUM8MO/ddmjV1LPKj5WIqsaGXZfx2oz9uHg5o8LbnIlMx6vT9+Htrw9h3LPB+OiVB2Bny0slIiJRMGIriHfbEPRYNbnUssLsXGREJSByxS5E/LgRhqKyd62UIvPkTpx/r0upZVo7R9j6NoR752Go1XscNFb8kyciUqo1Oy5h1JTduJqSW+l9HDqdjLbD1mHS8Ob48JUHYGtjBZGoPReQMB9Qr7SMfLw2fZ9cqK4sqdg9feEJOZ78NKUT2rSoBdGoPQ4wBhCpE7/VChS1Khyx248AGg3sPWuiwYCH0XrycNQI8sPeiQugdK6dBqNG2OPSQCsoTEtEys5FiF34BvJiIxAw5jtzHx4REVXBuFofzjuCjxccM8n+iooMmPrjcfx9OAEb5j4qZBcltecCEuYD6hITl4luI/9E5JVMk+zvbPR1tH9+PRZO7ojnnwiCiNQeBxgDiNSFo6cqUMrJaEStDEfUil04PX8tNvR6B9lxyWj4bFfYurtA6RzqPQj3zkPh3mUYvPtPROMZ+2Dt7o/kLT+g8HqSuQ+PiIhM7N3Zh01W2LrdnmPX0G3kJmRk3Rh8WiRqzwUkzAfU41J8JjqN2GCywtbt43YNf38Xflp9HiJSexxgDCBSFxa3VECfm4+kIxeg0WrhEuAFtbGyc4RjozbyXZv8xEhzHw4REZnQ9yvOyq2sqsrhM8l45s3tcuswkak9F5AwH1CmnFw9eo7ejCuJZSeOMJUXP/oH2/fHQ3RqjwOMAUTKxuKWSjgH3jiB5adnQY1unsB0Tm7mPhQiIjJhN6TXP99v1DYHl/bFlS2D5J8V9deeOHnmRdGpPReQMB9Qnve/OYyIqPQqjQNSC67/fBiOzGzxWnH+m9rjAGMAkXJxzC0F0tnbwNbNuaR/faPnHoV7s3rynRppIEmlK87PgT4jWb7Lrk9LRNKmb5EbdRQOQa1h59fQ3IdHREQmIMX4Fz4MR3au3qjtvD0c4O/laPTnTZh5AI+180OArzNEoPZcQMJ8QPn2HLuKWYtPGb1dZeLApfgsTPryIOa/3x6iUHscYAwgUhfFF7eSk5MxY8YMrFq1CrGxsfD09ET//v3x2WefYfz48Vi4cCHmzJmDsWPHQikemDRIftwuZsM+7H/7B6hBwtIP5cftarbtjzqjvjHbMRERmdP1zAIsXn8Rv2+ORnJ6HmystWhStyZeHtAYHcO8odFoIJodBxKw/UD1XZxl5RRixk8n8c277SACtecCEuYDpR08lYT5yyNw/FwqcvOL4Opigyc6B+A/TzaEh6sdRPTBN0ekHmbV5ruV5/DfF5oLU+RWexxgDCBSF0UXt44dO4aePXsiMTERjo6OCA4ORnx8PGbPno3IyEikpqbK64WGhkJJzi3ejJh1e6G11sG1cR00HdMPjj7uKMq/1ZT64fmvA1oN/h71Zckym5pO6LdzFg5NWSTPriIqj8dGwrXdABiKCpF76SQSV01HQXIsNNa3ErfM0+G4OKVnmW0N+gIYiosQ9kdRNR81EZHpSXerp/14Ap9+f6xMC6djZ1Ox9M8oNAtyxZJpndE0SKwuGvOWRVT7Zy5adxHTXmsJZ0cbWDq15wIS5gM3RMdm4tn/7sC+E0nlTprwwbwjGP9sMKa+2hJWVuKMWHI2Oh3bqnkcLKl74ncrzuHT8S0hArXHAcYAInUR5wxWiRZbffr0kQtbEyZMQEJCAo4cOSK/nj59OjZs2ICDBw/Kd6ubN28OJcmISkRC+EnEbT+KU/PWYNvz0+ARWh9tp48qWWfv29+jVqtGqNvvVtPqNp+9iGsHzgp9EpPY+gTBJbQbaoT1hHf/SWjw7jrkXDyIy/NfLlnHOaQjHliWVeoRMu88dM4e8H32Y7MePxGRqQpbr03fh3dmH7pr172TF9Lk6e6PnEmGKOKvZWP1jkvV/rlS661f1osxCLHacwEJ8wHg4uUMtB22rtzC1k35BUX4/OeTGPbO33LxRhQLfj9rls+Vxt8rKBSj4KH2OMAYQKQuii1uSV0OpW6IUnfDmTNnwtn5VvPhSZMmoUWLFtDr9QgMDISLi7Knwk06dA6RK3bJJy3Plo3kZQXpWdgzYT4e+vRF2Hu5IqBXG3i3C8HetxZAaZyatINb52FI+2cZsiL2lLtOcWE+oqb1h1NwB/gMeKfaj5GIyNQWrb2I2UvOVGjdjKxC9B63Bdk5hRDBzoOJKCoyz0X41n1izpim9lxAjflAUVEx+ozbjKspuRVaX2rJOfPnkxDFlr1xZvncpLQ8+aaAiNQeB9QWA4jURpHFrYiICCxbtgweHh6YOnVqueuEhYXJP6Ui151IXRqlll0fffQRRHd81goU64vwwMSBJcvidhxDzLo96DR3PNpMe0k+seWnKXPmFJ+B7wNaK8Qv+aDc9y/PexnFhXkIfPXnaj82IqKqaLU183/GXaQmJOXgt01REMHhiGRVfvb9UnsuoLZ8YGN4LM5GXzdqm6+XnEZhYTEsnVSIjzDy32ZKhwVq6fpvao8DaooBRGqjyOLW0qVLUVxcjCFDhsDJyancdezt7e9a3Fq+fLk8ZpdSZMYkInrNbvh2ao5aDzUpWX5o8iI41/WWmyvHbjsCpbLzaQC3joOQeWKb3Lf+dtfWzcb1Q+tR/+3V0No6mO0YiYhM5Z8jV3HqovEtC775LUIujFm6IxEpZvtsaca05LQ8iEjtuYDa8oFvfqtYy83bxV/LwRozdPk11vHzqWbtQilycUvtcUBNMYBIbRQ5oPz27dvln126dLnjOlKXxTsVtzIyMvDaa6/J3RmHDh1638fTsmVLeawvY1gbtPgQrWFKJ75eKTdDlu7U/PX0jdZo+tx8ZF26hrSIy/e174ZBDVGoMd2dPo2NPby+ugBT8h7wLlLDl8p3ahp9ukNelnliB2IXvYWgD/6ErVfgfe2/YcMgGAoq1vSfiKgqZdp1BBy6Gb3d0bMp8KtdD1pYdvfEqzXGAlae5b53cGlfeHvc+aLE28O+5OeVLaVnEfu3xOQctBq8tszykNC2sC668xhGpsJcwPS5QFXnA5aUC8S7viv9Eo3ebvjYT/FaziZYslzrJoDzoErFAGPiwJ1iwKIlq7Hhu7vHD0uNARK1xwG1xAAiEXl7e+PQoUOV2laRxa1Ll27ccQoICCj3fWmsrd27d9+xuPXuu++iYcOGcssvUxS3pMJWXJxx4wLYaKwALyM/Z+9p/Ozz9B3fv34hDov8bzVBNqX4hHgUGEw3uKZ0t8TIfz6cm3VG2Jo738Wzr92k1Iwn+VdjEPX5M/Af/rm87f2SZuIszs+57/0QEd03r3ygkjedE66mAvoMWDRHA2BV/lvSRa2/l+M9d6Gz0lZovfJcu5YC5FX9eD/MBYzPBcydD1hOLqAB3Co3q2d2jh7ZRuat1a6GL3BrON1KxYD7iQN5+Xqjc/vqigEStccBxgAidVJkcSs7O1v+mZtbftVcGo9Lmk1RGmS+bt26pd6TqoTff/89Dh8+bNLqY2Xu1MDyhzwo4evja/K7NFVJOulETu2HGq37olavsSbZp6+vL+/UEJFFyLSzQWXLUz5ebtDe6arRQlzVaaC/S0uLu5FaakgXtPqiYiQm3z1m32lftTzdYV1c9Sdp5gJVmwtURT5gSblAvCEfBo2t0ds5OuhQ088PlizXugZSKxkDjIkDd9qXna0O7tXwOxItBogYB5QcA4hEVJnaiaKLW9IvJC0tDUeOHEHbtm1LvZeQkICJEyfKz5s3by4PGH9TUVERRo0aJc+wGBISYrLjqUyzusKcPPxa//5bjVWX8xfOw9rBzmT7k2at77gRVSZtz0rkRh9HXtx5ecaUfwuZewY2nnWM2uf58xdgr8hvFBGJ5sDJJDw0pGxXmntp09wTe3+JhqXr9tKf2La//FkLy+tCdDupC5LUUkO6oK3d/bdKff7ZU/vg6mJ80cBYzAWqNheoinzAknKBJ8Zvwdqdxncx++37D9D74R9gyfafuIY2Q9dVKgaYIg6MGPok5r03E1VNtBggYhxQcgwgUhtFfvW6desmz5g4ffp0dO/eXe5iKDl48CCGDRsmt9qShIaGltpu7ty5uHr1qiJmRzTGpqc+hNq4dxkmP4iIlKhVUw+EBXsYPejx6IG3Bhe2ZA82cb9jcauq1fN3rpbCVnVTYy6g9HxA+j4bW9wK8HVCzw7+sHTNG7rBykqDoiLzDCovxVclUmMcUHIMIFIbRc6WOGnSJLi7u+PKlStyC6xmzZohKCgIrVu3Rr169fDII4+UGW9LKni9//77+OCDD+QxudLT0+WHJC8vT34uzcBIRERk6aRWyZNGNDNqm0BfJwx4tHRXfUtlzgtLpV7UkvJ0b+uHBxq7G7XNm883g5WV5V8e2NvpEFLf1WyfzzhARGR5LP/sVQn+/v4IDw9Hr169YGdnh5iYGLi5uWHBggXYsGEDzp8/X6a4Jc2emJmZKXdLdHV1LXlIpBZg0vPLl+9v9hAiIqLq8sxj9fD+qNItlO/E09UOG+c9Jo8jI4IurXxgrTNPCtOjveW3aiGSaLUarJ3dXW6NVRGjBjTGmEFitN6U9GhvnnHBfGs5oGkD8xXWiIiofGJksZXQpEkTrF+/vszyrKwsudil1WrRtGnTkuUNGjTAjh03poK9XZcuXfD8889j+PDh9zW4GRERUXWbMiYMPh4O+GDeESSn5ZW7TscHvfDzJ51Qz98Foqjlbi+3MluyMbJaP7emsw0G9ahXrZ9JdD/8vR2x75c+GPF+ODbtji13nRrONnhrRHP894XSY9FaOqkY9/nPJ2Go5p6Jo55uDJ2ZiutERKTC4tadnD59GgaDQR6Hy8Hh1jzpTk5O6Ny5/KlfAwMD7/geERGRJXtlYBP858mGWLElGr9vjsaf/8SioLAYjvY67FncRx67RtTxhKq7uDWiXxAcOFIwCcbbwwF/zn8M52OuY8GKs/hm6RnkFxbD1kaLOf9ti2cfrw9HB2tzH6bRpIK8ND7YxvDyi3ZVQafT4MX+N8byJSIiy6K62w4nT54s0yWRiIhIyWxtrDCkVwOs/rq73AXxZiskUQtbknahtdC7U+1q+zxXFxtMHN682j6PyNQaBtbAF28+BI//jwEeNe3w0tONhSxs3fTxmDB5YPnqMv7ZEPjWcqy2zyMioopjcesepFZeosye6BocgF4bp6Lfrq/Qfcm7sHV3gXfbEAyN+hV9t3wOO/fSXU5qBPnJ77WeMrxkWfDI3ui/Z468vghyoo8j4s3WOD2mCS581AOF15OQeXInjgywx5nXQlGYfk1eL3nrQpwe3wyHn9Th6tqvyt1X7pUIHBnggCs/vFay7OqaWTg1qoG8LyIishxS96kFH7SXi3TVYfZ/28LH81aLb9HO/Q++/SyeDP8afbfORO9N0+HbuWweJK078MQPeOSnSSXLAvu2Q7+/Z+HZs/+D6LlA3OJ35VxAWiY9Unf9VmZfzAXE8mCwB95+oXpuWDcMqIFPxoZBqdcAIseBisaAmK+H48QIv5IYEPvTxDL7YgwgEheLWwrS4aux2DtxAVZ3eg3Ra/ei1QfPycszIuOxtvtE5KVklKyr0Vmh3ecv49KfB0rt48x367FnwrcQhXSSChj9HUK+iYBrh2cQ+9Ob8nI7v0YI/uoYrGvWkl871A9DvYnL4dbp2XL3Y9AX4vK8kXBt82Sp5V5PvI6AsT9Uw7+EiIiMJbWg+OaddkZtk5icg9ir2fLPiurfNRBDetWHyOf+q/sj5Ndru72J3W/MQ+cFb0Bnb1tqX20/H4UrWw6XWhazdg+2DvkMSsgFvJ6ciJDZJ+VlDd7fgEvzRkKfkVyyH+YCYpImzniwiXuVxgFpAoufP+koz9Ko1GsAkeNARWPAzTggLZMe/iNK38xnDCASm+qKW9u3b5dbY0kzKSqJW9O60OfkIfV0jPw6cvlO1H60JbQ25Z+EQ98YgJh1e5EZlQBR5UQdhZW9Exzq3biL4t7leVw/sBYGfUGZdR3qtoB97SbQaMv/k49fNgWu7QbA1jeoyo+biIhM59le9THttZYVXr/V4LWo3f03+WdFdArzxuLPHrbIgbaNOffHbT+Korwb58e0iMtS07dSrTmCBj+CrMvXcG1/BJSaC+icapY8L87Nkprnw1BcXLKMuYCYbKyt5NlegwJcqiQOSLNOLpnWGW1beEHp1wAixgFjYsC9MAYQic0ybz+Q0Zzq1IJr4zqluhNKd2QdvMuOp+LxQBA8wxpi88ApCJ3wDESVfzUauZdOlmoiXJyfg4KUOKP2k31uP7LP7kXQlC1I+G1yFRwpERFVpbf+00K+wH3j8/0m3e+j7fyw6suuFjuIvDHn/tsFDeqCrEtXkRWbdGM/tWuh0XOP4s8nP0Ddvsa1hBMtF7i2bjaubfwGhSmxckuMmy06mAuIzcvdHn8v7IXHXt6EkxfSTLZfG2stfpvRBU92DYTSrwFEjQPGx4CvkbJ1IWw868B3yCclRTHGACLxWWa2RpWSdPQCtgz+pOT1oFM/llnHyt4Gbaa9iJ0vfgElcAx6CEGT/yp5fXyYp1HbSye/ywtGo95bKyzyrjwREVXM68Oa4oHG7vjPB+GIjsu87wH4Px7zIN54rimsrLTCn/tv59OhGVpMGIDNAz8uWdZ+1mjse+fHkpZdSs4FavUZLz+kMXqiZw2FS+ij0NraMxdQAGlMvH2/9MU7sw9h9hJpdvT721/LEA/8NKUjmga5qeIaQOQ4UNEY4Dv0U1i7+sg9OdL2/oELU3qi6fwL8mvGACLxsbilENIdWEc/j5LX1k720DnYIScxtdR6zgHecPLzQI+VNwbJt3FxBLQa2NRwwj+vzoVIbL3qoSD5csnropwMFOVlw8bdr8L7yE+IREHSZZx/r8uNfWSny10U9FlpqPuaZQ6aSURE5evcygcnVj6JD745jAW/n0NOnt7ofXRv64uv32qLJvVudWET/dx/k1fbYLT/ajS2PTdNHotH3sbZAa5NAtB5wevya52jndzq49HlH2LzM5MVmwtIwxXYuPkh89RO2Pk2ZC6gEFIry6/eaoOnugXi9c/34/CZW2OqVZR7TVu8+Xwz+aHTWXZx21TXAPvfWyhsHDAmBty+zLXtk4hb9F/kxZ2DVmfDGECkACxuKYTUz764sAg+nZojYdcJNB7+GKLX7EZxQenEPv3sZfzW9IWS11KTZJsaDjjwwc8QjdSMWGNljYxjW+AS2h1JG+fBrcNAaHQVnznLPrAZWiy+0S1DEr/0I/mEVvvF8mdUJCIiy+bkYI0vJ7bBhy8/iEXrLuCHVedx8kLqXVtxSF2aBvWoh5efaYzGdS2/qGXsuV/i1aYJOs4Zh+3DZyDtzKWS5YWZOfgtZETJ6wbPdEadnq2xfcQMKC0XyL18BvZ1gktubklj9djVDpbH5GQuoCwdw7xxcGlfHDyVjHnLIrB6xyVcz7xziySdToPWTT3x8oDGGPBoXdjZ6lR3DSBqHDAmBhQkx8LGw19+nnVuH/SZKbDzaQArxxqMAUQKIE7kpnvaNeZrdPhqDGymvYTMmETsGjsbro3qQMnqvvErYmaPwOX5r8DWpwHqvvELci+dKrNe8rafEf/reyjKSkP6/tW4unomGry3Dg71HjDLcRMRUdWq4WyDcc+GyI/M7AIcjUjB8fOpyMgqRFGxAfa2VmgYWAMtgz3gW8tB2K4oFT33t/9iNKxsrNFh1uhb246bI1/wqiUXiPvfJHl8Ho3OGhqtDnVGzZULW6RM0ne6dTNP+SFNJhUVmym35JJ+5hcUyTMgutWwxYNNPNC8oatQBa1/U+M1QGVigDSrYuH1q9BoraC1sUf9Sb/LhS0iUgZxoziVISWo63u8ZdQ2x75YDpFJLa+afHnonut5dB0uP+7Fd/CNptpERKQczo426NTSR36o9dy/qv24Cu3v4vKd8kOJuUCD99dXaH/MBZRZ6Kpf20V+KJGprwFEiwMVjQENP95aof0xBhCJyfI7ktN9KSrUw9bVWZ5B5fYpv+8keGRvebDJvNT7G4zXnKRmyPqMFHnWlML0a/e1r6trZuHyt6Ohc741lgEREZGSzv13E9i3Hbou+i9yk9IhEuYCpHZqjwOMAUTqozFI7XTJ4hTm5OHX+kMhiiGRv8Dawc5k+8vVAx03QijhjwMWOls8EVEJ/25LEXctB361HBC7dbC5D4fugrkAc4GqwBggDtFigETtcUCEGECkVGy5RUREREREREREwmJxi4iIiIiIiIiIhMVuiRZK+m/R5+ZDFDp7W5PONCX9VeYVQSh2VtKApeY+CiKiu2OXJHEwF2AuUBUYA8QhWgyQqD0OiBADiJSKPYItlHRSMGV/ddFIJwX2VyciIjVjLsBcgNRN7TFAwjhARBXFbolERERERERERCQsFreIiIiIiIiIiEhYLG4REREREREREZGwWNwiIiIiIiIiIiJhsbhFRERERERERETCYnGLiIiIiIiIiIiExeIWEREREREREREJi8UtIiIiIiIiIiISFotbREREREREREQkLBa3iIiIiIiIiIhIWCxuERERERERERGRsFjcIiIiIiIiIiIiYbG4RUREREREREREwmJxi4iIiIiIiIiIhMXiFhERERERERERCYvFLSIiIiIiIiIiEhaLW0REREREREREJCwWt4iIiIiIiIiISFg6cx8Alc9gMECfmw9R6OxtodFoTLY/gwHIK4JQ7KwAE/4KiIhUTbTzoETt50KeB8nU1B4HRIsBEsYBIjIXFrcslHQi/7X+UIhiSOQvsHawM9n+pBN5x40QSvjjgD2/UUREqjwPStR+LuR5kExN7XFAtBggYRwgInNht0QiIiIiIiIiIhIWi1tERERERERERCQsFreIiIiIiIiIiEhYLG4REREREREREZGwWNwiIiJSgfyCIly4dB2F+mL5dVFRsTwTGRGpx9WU3JIYIP3MzdOb+5CIiIhMgnNZEBERKVBxsQHb9sdjxZZoHDqdjJMX0kouaiWJKXnw6rwEYcEeaP9ALQzv2xD+3o5mPWYiMq2k1Fz8b+1F7DqciENnkpGQlFPy3rXUPDi3XYTgejXRMsQD/boEoFen2rCy4r1vIiISD4tbRERECmuhNX9ZBOYtj8CFSxl3XTcpLQ+bdsfKj4/mH8UTnQMwcXgztGlRq9qOl4hM78T5VMz46QR+3xyNgsJbRe1/KyoyyIVv6fHT6guo7e2IUU83xmtDQ+DoYF2tx0xERHQ/WNxSEO+2IeixanKpZYXZuciISkDkil2I+HEjDEV3TnBEl3lyJ86/16XUMq2dI2x9G8K98zDU6j0OGiv+yRORch0+k4zh7+3CqYtpRm8rXeSu2haDP7bH4NUhIfh0XEs42IsXM3ku5LlQzQoKi/DZ98fx6Q/HoNcb3+34SmI23pt7GAtXn8fCKR3xcEsfiEbtMUDCOEBEasSopkBRq8IRu/0IoNHA3rMmGgx4GK0nD0eNID/snbgASufaaTBqhD0OGAwoTEtEys5FiF34BvJiIxAw5jtzHx4RkclJY2dJrTTenXNYLlLd376Ar345jfW7rmDt7O5oUq8mRMRzIc+FanM5IQtPvLoFx86m3ve+omIz0fk/GzFpRDNMfbUVtFoNRKP2GCBhHCAiNWGnegVKORmNqJXhiFqxC6fnr8WGXu8gOy4ZDZ/tClt3FyidQ70H4d55KNy7DIN3/4loPGMfrN39kbzlBxReTzL34RERmbyw9fbXh/Dfrw7dd2HrdhcvZ6DTiA04fi4FIuK5kOdCNYmKzUCH59ebpLB1uxk/ncRLk/+Rx/ATjdpjgIRxgIjUhMUtFdDn5iPpyAVotFq4BHhBbazsHOHYqI181yo/MdLch0NEZFLTfjyB6QtPVMm+k9Py8OioTfKFs+h4LuS5UKmupeSi20ub5C6FVWHhH+cxYeZ+iE7tMUDCOEBESsbilko4B944ieenZ0GNbp7AdU5u5j4UIiKT2Xf8mjw+jjEOLu2LK1sGyT8rQppR7fl3dwnZcuPfeC7kuVCJLTdHfbwb0XGZVRYDJFJX5Q27LkN0ao8BEsYBIlIqjrmlQDp7G9i6OZeMMdDouUfh3qyefLdKGkxT6Yrzc6DPSJYTPn1aIpI2fYvcqKNwCGoNO7+G5j48IiKTyMvXY8QHxhedvD0c4O/laNQ2/xy9ijlLTuPVoU0hCp4LeS5Ug9/+jMLq7ZeqPAZIRk7ZjVOrvODqYgsRqD0GSBgHiEhNVFHcSk5OxowZM7Bq1SrExsbC09MT/fv3x2effYbx48dj4cKFmDNnDsaOHQsleGDSIPlxu5gN+7D/7R+gBglLP5Qft6vZtj/qjPrGbMdERJYxk+D+E9eQnatHDWcbdG/jh7r+zhDVrMWncTb6erV93tuzD2FIrwbwcLWDCHgu5Lnw37JzCrHu78uIT8qBVqNBPX9n9OxQG9bWYnZkyM3TY/z0fdX2efHXcjDl26OYNakNRKD2GCBhHCAiNVF8cevYsWPo2bMnEhMT4ejoiODgYMTHx2P27NmIjIxEauqNgTdDQ0OhFOcWb0bMur3QWuvg2rgOmo7pB0cfdxTlF5Ss8/D81wGtBn+P+rJkmU1NJ/TbOQuHpiySZ5gRlcdjI+HabgAMRYXIvXQSiaumoyA5FhrrWxdkmafDcXFKzzLbGvQFMBQXIeyPomo+aiKqCtLd6mWbouRC0IFTpQfP1WiAnh388daI5ugk2HT3en0x5i+PqNbPzM0rksfemfSf5hABz4U8F94Ufy0b0xaewP/WXkBGVmGp97w97PHSU40wcXgzODvaQCTL/oqSx8WrTgtXn8cnY8Pg6GANS6f2GCBhHCAiNRHzVpURLbb69OkjF7YmTJiAhIQEHDlyRH49ffp0bNiwAQcPHoRGo0Hz5mIk6xWREZWIhPCTiNt+FKfmrcG256fBI7Q+2k4fVbLO3re/R61WjVC3X/uSZW0+exHXDpwV/kRu6xMEl9BuqBHWE979J6HBu+uQc/EgLs9/uWQd55COeGBZVqlHyLzz0Dl7wPfZj816/ERkusLW6zP2Y/BbO8sUtm68D2wMj8UjL/2JH1edg0g2hF+pssGj7+bb38+iqKgYIuC5kOdCSURUOh4asg5zlpwpU9iSJCbn4uMFx+SZQaWB2UUyb1n1Frgl0u9wyUYxBiJXewyQMA4QkZoourgldTmUuiFK3Q1nzpwJZ+db3U8mTZqEFi1aQK/XIzAwEC4uyp0SOOnQOUSu2CWfuD1bNpKXFaRnYc+E+Xjo0xdh7+WKgF5t4N0uBHvfWgClcWrSDm6dhyHtn2XIithT7jrFhfmImtYfTsEd4DPgnWo/RiIyvU++O4avfz19z/WKigzyVPdrdhg3bo25x9kxB2nQ6oOnkiEingvVdy68mpKLHq9sQuzVexeCj51NRe9xm+Wx7EQQHWu+7+Jvm8wTf+6X2mOAWuMAEamHYotbERERWLZsGTw8PDB16tRy1wkLC5N/SkWum3bu3Cm35Pr3Q/Rui8dnrUCxvggPTBxYsixuxzHErNuDTnPHo820l+STe36aMmeP8Rn4PqC1QvySD8p9//K8l1FcmIfAV3+u9mMjItOTuupIxa2KklpxTfzygDAzAh46Y74C0+EIMYtbEp4L1XUu/PqX07icUPEWjlKxaNmmaIjAvDEgRW4ZKyK1xwA1xgEiUg/FFreWLl2K4uJiDBkyBE5OTuWuY29vX6a4ddM333yDvXv3ljwWL14MkWXGJCJ6zW74dmqOWg81KVl+aPIiONf1lptsx247AqWy82kAt46DkHlimzy2wO2urZuN64fWo/7bq6G1dTDbMRKR6UhjQxUUGtd97sKlDGw/EA9Ldz2zABcvZ5h1YH5R8VyonnNhfkERfqhEd2NzdPUT7XsoxaDIK5kQkdpjgNriABGpi2KLW9u3b5d/dunS5Y7rSF0W71Tckgaeb9OmTcmjWbNmEN2Jr1eiuKj03Sp9bj6yLl1DWsRlKJ33gHcBrbbUnarMEzsQu+gt1Jv0O2y9As16fERkOks3VW5MmKVm6u5njPOXqm+GxPKcizHv598vngvVcS7cvj8eSZUYbF0any8q1nzFY1G+h+di0iEqtccANcUBIlIXjUHUdsX3ULt2bbl4dfTo0XK7FEpjbfn4+MiDzkuzJtarV6+kW6JUENuxYwc6d+5skmNp2bKlPIi9MawNWnxY3BrVocfKybiy5TBOf7u20vuYrD2AQo3pBhnW2NjD66sLqEr5V2Nw9s1W8Bn0IWr1Gnvf+7v6WhAMBWINRkukVAk1J6BYa/xYinYF5+CetQSWLF8XgGSX/5T73sGlfeHtcfe77dLscDorLfRFxfJg2neSmJyDVoPLnhes9QmolfEtqlp1ngclPBfe/7nQks6D2TYtkO7Uv1LbemR8D1v9jRuglirZaSjybYIqFQcqGgPuFgfcMpfBvvAMqppo+bCp40B1xAAlxwEiEo+3tzcOHTpUqW11UKjs7BtjLOTmlh9cpfG4pMKWNMh83bp1y7w/cOBA+X13d3f07dsX06ZNk8fvqgypsBUXF2fUNjYaK8ALwohPiEeBwXRTBUtNoavyn1+cn4PIqf1Qo3VfkxS2JPHx8fJ+icgCOBUCNsZvlpebbXS8rnYO9sAd6nbSBa2/l2OFdiNd3FZ03dsVFuRXy+9ItPOgRO3nQos6D9b0B8ofleKekq8lArkWHgcC8+4Y4yoaByobAySpqSlABuNAVceBqo4Bio8DRKQqOiVX/NLS0nDkyBG0bdu21HsJCQmYOHGi/Lx58+bygPE31ahRQ36vU6dO8lhd0nhb0oD0+/btkyuIdnZ2lTqWytypghizrct8fXxNfre6KqXtWYnc6OPIizsvzxjzbyFzz8DGs45R+/T19eWdKiILkaxJRz7cjd7OySYHNfz8YMkKrZxx7S6tLO7FmJZb5bGxLoZnNfyORDsPStR+LrSk82CBlQFJ0hOpg8Jted49GYrg7W4DK4Nlx4FUGyC3knHA2JZb5XF3dYSdM+NAVceBqo4BSo8DRCSeytROFN8tcfz48ZgzZ47cPXHr1q1o2LChvPzgwYMYNmwYoqKiUFhYiDFjxmDu3Ll33de6devk1lsLFy7EiBEjquX4C3Py8Gv9oRDFkMhfYO1gfOHvTnL1QMeNEEr444C9YsvFRGJZ/lcUBk7cYfR259c9jaCAGrBkBYVFcG6zyOgB82+6smWQ3Foj9mo2anf/zejtXxsaglmT2qCqiXYelKj9XGhJ50EpvX3gmdU4fi7VqO2eeawuln3+CCzd1B+O453Zh8wSAyTXdj4LT7eqL7yoPQ6IFgMsLQ4QkboodkD5SZMmyV0Kr1y5gpCQEHlA+KCgILRu3VoeX+uRRx6542Dy/9a7d284OjpWuu8nERFVr36PBMitE4zRva2vxRe2JDbWVmje0M1snx8WXLku+kTVSWqVP3rgrdnwKqoy25hDWLDxLVNNpY6PY7UUtoiIiIyh2OKWv78/wsPD0atXL7krYUxMDNzc3LBgwQJs2LAB58+fr3Bx66bbuy8SEZFlF4B++awzdFYVi9u13Ozw7fvtIYq2LWqZ7bPbNDffZxMZ4z/9GqJXp9oVXv/VISF4uKUPRNAyxBM6nUZ18YeIiEh1xS1JkyZNsH79emRmZsqP/fv3Y+TIkfJg81KxS6vVomnTpvfcz9q1a+VtpFZfREQkhq5tfLF2dnc43qN/hNQKYcePj6Oev/GzK5rzot0cHm7pjQZ1xPk9kbrpdFr8PvMRPNk14J7rvvFcU3w58SGIwq2GLZ58JNAsn/3Ck43M8rlERER3o8oe0adPn5bHYpDG4XJwKD1V8tChQ+Vuiw8++GDJgPIzZsxAaGgoBg0aZLZjJiIi4/XsWBsXNwzAj6vOY8GKs7iSeGMmXYnUtU/qgjSkV304OVhDJKGN3dEutBb2HLvT0PJVQ5QuW0Q32dvpsOKLrth+IB7zlkVgzY7LKC6+NdzsiH5BeOWZJmjV1BOikb6Pv2+OrtbPDApwQdeHfKv1M4mIiPB/7d0HdBTl2wXwu8mmN1IgFRJKgIQWDL0JUqSLKAICCn+lCIgFAVEBAQsginSxItKlSVOqCALSmyG0NEglCQnpZZN8Z4aPUBIwGzbJvjP3d86eZHdnZgfN3Jl59i1qb7n1KBcuXHhkl0RpfK7NmzfjlVdeQbdu3eRB5IcPH44DBw7A3LwU88oTEVGFcnOxxocjAhD2+0twc74zyK+bsxXO/toHI/vVFa6wddeEoQ3K9fNqVrWrsJYiRE/CxESDTi08sWleJ9w6NBiuTndywL2yFX6c0U7IwtbdlpRN65fvGHjjX2kg//ckIiIyNixuPWTy5Mny+ykpKfJsimFhYfjqq6/g4GD8gwwTEdGjmZqayI87v2uEH0exzzM+eLFz+RWbfpzeFmZmqrxsIAVxsDOXuytKTATPACnDfvi4Lcz+/99T1to3dcfwF9glkYiIjJMquyU+rrglMkd/b7SaOwpmtlZIj4zHwTcXwrF2VXRa9QFSQqKxe8BMZCWmoM3XY+DeriGyE1Pk9aIPnsfJmb/IvzeZMgQ+z7XCrQth2D9sDoxdRtg5RCwejvzMVJhX9obPO78g63oQrs7oBkvPOvD9eDfMKlVBwt4fEbd1HrJuBMNr2Fy49n67cBvh84ci5eweaB3ufHNr36gzvIZ9If8e+dME3Pp7HaxrPoVaH2ypsH8nEVFxFn/QCgdOxiIhKavE68QmZDzwsyTGveyPdkY60HZJz31PTX4Z3t2bIy87F/m6PJyetRrRB87J2wgY/xLqDnsWGTG35OdJVyJxaMx8+Xf/ET1Rd+iz0KVnYWvnCRD1PBj1y4dIPrEVGhNTeT23vu/Dqd2d4RZ4HhRXg9pOmDaqMT5adKpMM8DaUosfprcxylZbJc2Auxx8PdFr1xxcWbkHx6cuFz4D9MmBxx3rzAEiEp0qi1v79++HErX5eiwOv7MYt4LCUWvAM2g69RVcW/unfGJ/+GQctHQrLn63o8g2pCJX8uUbqNZNjMHzpROxz7ifYF0jQC5gRf70Hlw6DpNP5P5fny1czrpmIGpMWI/YDZ8Xux3X5yc8UPC6SzqpW1arh+RjPJETkfGp4myFTV91RJdRfyArO69E6zQduFWvz3immTtmv9MUop/74o4F49y8DcjLypFvhrttnoH1ASOgy8yW3w/ddKjwRvd+F7/dLn/h02zGUBijkp4HpfOc55BP5d9zEqMQNMYP9gGdoLW/062N50Fxvf9aQ5y9nIgNe8LLJAOklq5rZrc32kk39Ln+1WhN0eqLUYj4/XiR7YiaAfrkwOOO9ce9xxwgIhGwf4FCONWvDl1Glnxil4SsP4CqXZrAxFy59cuM0DMwtbKVT+QS5w6v4vbxrSjQ5RRZ1rp6I1hV9YPGhH/yRKQsbQPdsG1hZ7llhaF1aOqO3xZ0hqWFVvhzX9T+M3JhS5IUfF3q0wVLZ+O8WS+L86DWtlLh7/mZaUBBAQry88t1f6lsSN2tV37eHn07Gr6bstTlcc3sDujd4b9nnBTh+jfg3X4I33YUqaExUAp9coCISMmM82qV9GZbrQoc61ZD7z13mg9LtFYWsHZzKnZ5v9e7y99upUcl4MzsNYUXBSLJjgtDZsQFXHz7zslckp+dIX8jra+b2+Yjce+PMK9cDR6DPim8QCAiEoE0WPZfP3XH4Ml/4XL4bYNs842X6uKrCc2NtrBVmnPfXb4DOiAtIg5pkfGFr3n3bAm3VvWRnZQqt/CKPRIEpZ0Hb25bgJs7FyM3MRLeY7+Xuynde4/nQZFZmJti3RcdMHXxacz+6fwDM0KWVlU3G/z8STt0aOahiAxwaeyLyoG1sbv/DLkb4sNEzIDS5cCjj3XmABGJzHivWElv8WeuYs/ATwqfD/j3h2KXOz1rDTLikuRvbaXuh51WfYhNrd6Uv/kSjY1vc/hO31X4/NwQ/Wc88hj8Kcwc3eVWXUlHN8vjE9RfelX+FoyISBRN6lXGmfV95JvbL1dckCK+VLw9bOXB459pbrw3tKU5993l3qYBGo3vh939Zxa+dnnFbpybvxEFujxUaVoHHX6ciO3dJiE9MgFKOg9W6TVOfkjj84TNGwz7gC7Q2jvzPKgQ0kD5n73VBH2e8cbQKQcRHJpc6m1JA8fPHd8M9rbmisgAUytztJj1Og68/mWx2xA5A/TJgccd68wBIhId+2gphPQNtI3nvemgpUE1tdaWyIi9MzDm/eTX/v+u5/rvx5GbmgGHWmLcxNzPwrUGchKuFz7Py0hBXlY6zJ099dqOtPzd7oqOLZ+HqZU9sqIuG3x/iYjKmpWlFl+Mb4bLW1/Eu6/URyW7kt+YNqtfGctntkPwlheEKWzpc+6TuLb0R+uvR2PfK7Pk8XjuyoxPlm9qJTdPXMatf8Pg0qgmlHoelLrqmzt5IvXfA/JzngeVpVmDyjj7ax+5JdfTTdxKvJ6ttRlG9auLcxuex7fT2ghR2CppBth5u8HW0wVdN36MF48vgf/wHnIPhjbzxwqdAfrmwOOOdeYAEYmOLbcUQupWmJ+bJ8+CGHPwvDyrS9hvh5GfoyuyrLW7U+FsMJWf8oWFkx1SwmIhGqmptMbUTJ7ZxT6gM+J3LoFTm/7QaPW7GMtJiIS5i5f8e9rlf6BLTYSle60y2msiorLn6+2AL99rjpljArH/eDROXUzAqYuJuBJxG5nZOmhNTeBob4GAOk4I9HdB68auaFj78V35RD/3ubbwQ9uFb2L/0DlIuhjxyPOiXXU3ONXzuTMul4LOg5nXL8Kqmr/8e3ZMiDxOj2XVO895HlQeczNTvPRsDflxOSwZh07H4eTFBJwJTkTi7Szk6vJhaa5FDS87BPo7yznQsbmHEAWt0mRA8qXrWFv/tcLnUrdEcwfrwgHkRc0AfXPgccc6c4CIRMfiloIcHDMfbb4eA/NZw5EaHouDYxfAsU61YmeVsarsgIK8fOiycnBg+Jdy6y0RVX93FcIXDMP1pW/Awr0Wqr+7EpkR/xZZLmHfckSv+gh5aUnyTC9xW+ai1kfbYF2jsTzDTO7tOHl6dBNzK9Sc+CtMbRwq5N9DRGRI1lZa9Hy6mvxQ+7mv9ZejYWpuhjbzRt9b982F8k3vU++/DOeGNeSWG/n5+fhn8vdIEWTA6ZKeB6N+niiPzaPRmkFjokW1kYvkiVYkPA8qW53qleTH6y/UgZoz4HFEzgB9cuBxxzpzgIhEx+KWgkgX6Nu7TvrP5aSBNJXCyqcB/L46+Z/LuXQcKj+KU3vm3jLYMyIiMqZz36bWbz7yvb/fWgSlnwdrTdn+yPd4HiQ1ZMD9zn65XjEZoE8OPO5YZw4Qkeg45pbC5eXqYOFoJ88iU5Ipz5tMGYIGbz6P7OQ0iEpqhq1LSZRnjclNvvlE24r8aQJiN3wOrY2jwfaPiIiM69z3OP4jesoDUWfdSoUoeB4ktVN7BkiYA0SkNpqCgtLOp0RlKTcjC6tqDoYoBoWshJm1pcG2l6kD2u6EUA51B6zYFpLIqHl1WoOomxnwrGKNyL0DK3p3SEHnQYnaz4WinAeZA+JQew6IlgEi5QARKQ9bbhERERERERERkbBY3CIiIiIiIiIiImGxW6KRkv636DKzIQqtlQU0Go3Btif9VWblQSiWpoAB/xMQURlgdyRxiHYelKj9XCjKeZA5IA6154BoGSBSDhCR8rBHtJGSToqGHLdDNNJJkf31iYjUS+3nQQnPhaR2as8BZgARUcmxWyIREREREREREQmLxS0iIiIiIiIiIhIWi1tERERERERERCQsFreIiIiIiIiIiEhYLG4REREREREREZGwWNwiIiIiIiIiIiJhsbhFRERERERERETCYnGLiIiIiIiIiIiExeIWEREREREREREJi8UtIiIiIiIiIiISFotbREREREREREQkLBa3iIiIiIiIiIhIWCxuERERERERERGRsFjcIiIiIiIiIiIiYbG4RUREREREREREwmJxi4iIiIiIiIiIhMXiFhERERERERERCUtb0TtAxSsoKIAuMxui0FpZQKPRGGx7BQVAVh6EYmkKGPA/ARGpnGjnAUOfC3geILVTewZImANERFRSLG4ZKeliZlXNwRDFoJCVMLO2NNj2pAuZtjshlEPdASseUUSk0vOAoc8FPA+Q2qk9AyTMASIiKil2SyQiIiIiIiIiImGxuEVERERERERERMJicYuIiIiIiIiIiITF4hYREREREREREQmLxS0iIiIiIiIiIhIW5/IgIiLFunU7G0fOxuFkUAJOByfi5q0s+fX4W1noP2E/Av1c0KSeC1o2qgIrS54SiZSmoKAA5y7fwol/43EqOBHBocn3ciApC2/NOipnQIuGVeDr7VDRu0tERESlxCt5IiJS3M3ssfPxWLIuGOt3hyE7J6/IMjm6fKzfFSY/JI725hjWpzZG9avLG1wiBUhJy8Ev26/JOXAxJLnYZXJy87Fg9cXC560bu2L0S354obMPLMxNy3FviYiI6EmxuEVERIpxIzYNI6Yfxh+HI/VaLyklB1+t+Fd+SAWuOe82hZ2NeZntJxGVXXF7xdZreHvOP0hOzdFr3cNn4uTH5AU2+G5aG3Rp5VVm+0lERESGxeKWgri1rIeum6Y/8FpueiZSQmMQsuEggn/YiYK8fChV6oUDuPJRhwdeM7G0gYVHbTi3H4IqPd+ExpR/8kRK9dOWK/INbUpa7hNt55tfL+H3w5H4aUZbdGjmAdHwXMBzgVrFJmTg9Y//xo6DN55oO9dj0vHsqF0Y/kIdfDWhOWytzSASZgAzgIhIjZjsChS66RAi958GNBpYVa6EWv2eRrPpQ+Hg64mjE5ZB6RzbDYRDYHfp61vkJsUi8cAKRP74LrIig+E95tuK3j0iKoOWGh8tPIXPvj9nsG1GRKehy6g/sOKTpzGwe02IiOcCngvUJDQyBZ2G/4GwqFSDbfO7jZdx/sot7FzyLJwcLCAaZgAzgIhITThbogIlXghD6MZDCN1wEEFLt2JHjw+QHpWA2i93hIWzPZTOusZTcG4/GM4dhsCt7wTUnfMPzJy9kLDne+Tejq/o3SMiA5u6+LRBC1t36XQFGPzBX9iw+864XKLhuYDnAjV1R+7w2k6DFrbuOnYhHl3f+AOp6fp1cTQGzABmABGRmrC4pQK6zGzEn74KjYkJ7L1doTamljawqdNC/uYuOzakoneHiAzo191h+OTbs2W2/fz8AgyafAAXQ5IgOp4LeC5QIp0uH33f2Sd3JSwrJ/5NwPDpf0N0zABmABGRkrG4pRJ2PncuYrKT06BGdy9itLZOFb0rRGQg8bcyMfrTI3qtc2JNb9zYM0D+WVLSjGpDpxyUb6JFx3MBzwVK88XyCzgZlFDmObDujzBs3CNmK877MQOYAURESqX44lZCQgImTpyIWrVqwdLSElWrVsVbb72F9PR0vPbaa9BoNFi0aBGURGtlDgsnO7nJeaW61dD8s9fh3KCG/G2dNJio0uVnZ0CXkiA3Oc8Mv4Dr34xBZugZWPs2g6Vn7YrePaIKI7VCup2ag+SUbPl30b01+x8kJGXptY6bizW8XG3kn/q23Jj3y78QCc8FPBcUJyc3D4nJWcjK1kF0l8OS8fHS03qvV9oceOOTI0hKyYYomAHMACIiNVH0gPJnz55Ft27dEBsbCxsbG/j7+yM6OhoLFixASEgIbt26JS8XEBAAJWk8cYD8uF/4jn9wbPL3UIOYNdPkx/0qteyLaiMXV9g+EVX0DeDS9ZewfOtVubglsbMxw5CetTC6vx/q1XKEaMIiU7H2j9By/cyvfvkXbw2uB3MzU4iA5wKeC+4vaG3aG44l64Jx6HRc4euB/i5yBgzoWgPWVuJdEs5bGSS3rCwv8UlZWP7bVbwzpD5EwAxgBhARqYl4VzJ6tNjq1auXXNgaP348pk2bBjs7O/m9OXPmYNKkSdBqtXLLrYYNG0JJLv+yG+HbjsLETAvHutVQf0wf2Lg7Iy/73mCoTy99BzDR4K+RXxW+Zl7JFn0OzMPJGSvkGXZE5fLsCDi26oeCvFxkRlxA7KbZyEmIhMbMsnCZ1KBDuDajW5F1C3Q5KMjPQ+DmvHLea6LynUUwNT1XvtGVHu8MqYe545vDxEQDUSzbcEkaNqVcxSZkYsv+CLz0bA2IgOcCngskVyNuo/uY3bh2PaXIe6cuJuC1aYcwZfEpbF/YGY39XCAKqVC/cvu1cv/cpeuD8dagekLkJTOAGUBEpCaK7ZY4btw4REZGYuzYsZg7d25hYUsidVNs1KgRdDodfHx8YG+vrBljUkJjEXPoAqL2n8G/S37DvldnwSWgJlrOHlm4zNHJ36FK0zqo3qd14WstPnsdN49fEvpCRmLh7gv7gE5wCOwGt74TUevDbci4dgLXl44qXMauXls0Xpf2wKPekivQ2rnA4+WZFbr/RIYy4cvjJZpFcN4vQRjz6RG5GCaCvLx8/LD5SoV89ncbL0MUPBfwXBAelYp2w3YUW9i6X/TNDLR/bScuXLnTol0EUsvN9Mzy71p5NSIFf50Uo0sfM4AZQESkJoosbgUHB2PdunVwcXHB559/XuwygYGB8k+pyPWwzZs3o1WrVnJXRgcHB7Ru3RpBQUEQVfzJywjZcFC+cKncpI78Wk5yGo6MX4rmn74OK1dHePdoAbdW9XB00jIoja1fKzi1H4Kkv9chLbj4wafzc7MROqsvbP3bwL3fB+W+j0SGtvefKHy5ouRjRH3z6yVsPXAdIrgSkaL3WFuGcvTcTbm4JiKeC9R3Lvjf1ENyi8OSSEnLxcBJfwpT5P77TGyFffbhs/e6doqEGaC+DCAiUhNFFrfWrFmD/Px8DBo0CLa2tsUuY2VlVWxxSxqP66WXXkKbNm2wdetWeVudOnVCZmbJLg6N1bl5G5Cvy0PjCf0LX4v68yzCtx1Bu0Xj0GLWcPniJjtJmbPnuPefApiYInr11GLfv75kFPJzs+Dz1vJy3zeisrB4bXAp1rkIEUhdqSqK1FJEKq6JiucC9ZwLLoYk4c8T+rUwCgpJxsFTFVc00sepi4mq/OwnxQxQTwYQEamNIotb+/fvl3926NDhkctIXRYfLm5Jg8xPmDAB8+bNk8fl6tixI7p3747p06ejSZMmEFlqeCzCfjsMj3YNUaW5X+HrJ6evgF11N7nJeuQ+/WccEoWley04tR2A1PP75PEV7ndz2wLcPrkdNSdvgYmFfjMnERmj6JvppWqFtedoNEJuGH/h5uylir2xPBMs7o0tzwXqORd8u6F0XWi/WX8Jxi4zS4dLYcmqzaAnwQxQTwYQEamNIgeUj4iIkH96e3sX+7401tbhw4eLFLd+/PFHmJmZYfjw4QbdH6kwJg1srw+zAhNMQzOD7sf5+RvlpujSt3W7XvxYfk2XmY20iJtICn6y7ki1fWsjV2O4rjoacyu4fn0VhuTW70PcOrRG/rauzqd/yq+lnv8TkSsmwXfq77Bw9Xmi7deu7YuCHLFb+JEyZGt9kG8/rFTrNmvXB1a5FTOeVUklWfcGLO90LX/YiTW94eby6JsSNxerwp839jw4i9jDYhMy0HTg1iKvjx43ARNHHkdZK4vzgEjngrI4D5T1ucCYzgMJdq8AZjX1Xm/D9iM4tHoIjFmexgYFjhMf+b6hcuBRGRARGQ8vLy+UNbVngITXg0RE6uLm5oaTJ0+Wal1FFrfS09Pln4/qSiiNxyXNpigNMl+9evXC148cOYI6depg5cqV+OSTT3Djxg34+vpi6tSpGDhwYKn3RypsRUVF6bWOucYUcNXzc44GYbn7i498//bVKKzwutcM3ZCiY6KRU2C4GWWkb8z0/OfDrkF7BP726LFCrKr6PTDrTXZcOEK/eAleQ7+Q131S0dHRyM/OeOLtED0x20pAKefJuHXrNpCiX16VO68s4N5kVw+Qbmi9XG3+cxNaU5MSLVec27dTcDux7P8bleY8oKRzQWnOAxV9LjCq80CNPMBM/9V0edD7mqXcaR0Ax0e/XdY5UFCgKZf/RmrPAAmvB4mISNXFLanal5SUhNOnT6Nly5YPvBcTEyN3PZQ0bNgQGo3mgfeki5XJkydj9uzZqFq1Kn744Qe8/PLLqFy5sjz2Vmn3pzTf1kGgMYs93D0M/k1dWZIuOkI+7wOHZr1RpcdYg2zTw8OD39SRUcgxtUZ8Kdd1cbSEhZ0njFmylTnufIVRfEuLx5Faakg3tLq8/P8caPtR26rkYAMby7L/byTaecDQ54KyPg+UxbnAmM4DiWY6lGbaBXOTbFT2NO4MyNdY4XGjiRkqBx61HRNNHtzL4b+R2jNAwutBIiJ1cStF7UTRxS2pCCXNmCgVqDp37ozatWvLr584cQJDhgyRW21JAgICHlhPGoQ+LS0Nv/zyC/r06SO/Jo27dfHiRcycObPUxa3SNKvLzcjCqpqDIYorV6/AzPoRTSlKQZrdu+1OlJmkIxuRGXYOWVFX5FlzHlZv0UWYV66m1zavXLkKK0UeUSQaaTY/354bEBaVqtd60g3f9VOHYGZm3MMxzl1+ARO+Kr5bYHFdiO4ndUGSWmpIN7RVO68t1edvWrMUHZp5oKyJdh4w9LmgrM8DZXEuMKbzwOodIRg0+YDe683+4CW8PWQGjJk0o6Nz25VISsmpkBxoFuCDoyvvjN1altSeARJeDxIRUUkpMnonTpyI1atXy90K69Wrh7p16yIrKwvXrl1Dt27d4OPjg127dhWZKdHJyUn+eX8RS2rZJT1fvly5s6b88cI0qI1zhyHyg0iJTE1NMKpfXUz6+oRe6414oa7RF7Ykgf7OFfr5T/m5QIl4LlCWFzr74O05lohPKnn7LStLU7z6nC+MnXRtFujvgr3/RFfI50ufrUTMACIiEpnx38WUgjTI56FDh9CjRw9YWloiPDxcLlwtW7YMO3bswJUrdwZLfri4JRXCHkUqjhERiWL4i3VQw8uuxMtLrRjGDLg3c5Yxq8jiUq1q9nCwM6+wzycqKQtzU8wY85Re60wa1hCO9hYQQZN6FZcDSi1uERERiUyRxS2Jn58ftm/fjtTUVPlx7NgxjBgxQh5sXip2mZiYoH79+g+s89xzz8k/d+/e/UBXxT179qBp06bl/m8gIiot6Qb19yXPoqqbTYm6I/6+pAuqOJf9GEeGIBWXurSqmDGB+nW+NwkJkbEb9ZIfpowMKNmy/epi6qjGEMWLFXQsSkXDXk/r102NiIiIyp5ii1uPEhQUJI/VIM2CaG394DTRvXr1Qtu2beUi2HfffSd3Xezfv7+8jjRjIhGRSGr7OOCflb3wet/acnej4m7Shj7ni2OreqO+751u2aIY3b/8W5lJ84+M7Fen3D+X6EnMGBOItXM6oHHd4rvz1q3ugO+mtcGSj1o9MMmOsZNaTzWrX7ncP/elLtXliTeIiIjIuKiuuHXhwoViuyRKpIu6rVu34oUXXsAHH3yA3r17IyIiAjt37sQzzzxTAXtLRPRkPKrY4LuP2yJ670Asm9oadtZ3hlp0sDVD1N4B+GlmO1Rzt4VoerStCm+P8t3vnu2qwduj5F09iYxF/641cGrdc3Kx+5OxgbD9/xxwqWSBi1tewOsv1BGqsHVXRXSlFqX7NhERkdqwuPWQSpUqyWNzxcfHIzs7G8ePH8ezzz5bzntJRGRYlewtMOLFurC3vTNelK21GZwridv6QKs1wcL3W5bb50kt3758r1m5fR6RoUnFq+YNq+DDEQFw+P8ckFpviljUumtQj5poFVCl3D7v1d6+8n9DIiIiMj6KnC3xSYpbInP090aruaNgZmuF9Mh4HHxzIRxrV0WnVR8gJSQauwfMRFZiirxsnVefhd9r3VCgy0NBfgF29JiMvOxcNJkyBD7PtcKtC2HYP2wOjF1G2DlELB6O/MxUmFf2hs87vyDrehCuzugGS8868P14N8wqVUHC3h8Rt3Uesm4Ew2vYXLj2fvuB7dzcuQTxOxYCplpoNCao+8UxmJhbIvKnCbj19zpY13wKtT7YUmH/TiIqqlf7ahjcsyZWbg8p88/67M0m8PV2gMjZ/9Tkl+Hdvbmc9fm6PJyetRrRB84Vbse7R3MEjH/pTv9LAPuGfI60yHj4j+iJukOfhS49C1s7T4Co54GoXz5E8omt0Jjc6aLr1vd9OLUbULgdngfEnBn2pxnt0KjfZmRl55XpZ3lUsca8ic0h+vWfxMHXE712zcGVlXtwfOpy1WRA+PyhSDm7B1qHO91Z7Rt1htewLwq3wwwgIhKb6opb+/fvh1K1+XosDr+zGLeCwlFrwDNoOvUVXFv7p3xhc//FSNVnm6JG37bY0eMD5KZmwMLZHvm5dy4KT878BcmXb6BaNzFaKEgXKj7jfoJ1jQC5gBX503tw6ThMvpjx//ps4XLWNQNRY8J6xG74vMg2ko/9hlt/rULdOf/A1MYBubfjoTE1k9+TLnosq9VD8jFezBAZo/mTWuLYhXhcjbh34/Y4sQkZD/wsia6tvTBu0KNn0xUl++OOBePcvA3Iy8qRb4a7bZ6B9QEjoMvMhlP96njq/Zfxx4sfIzMuCVobSxTk58vrXfx2u/yFR7MZQyHyecD1+QnwHPKp/HtOYhSCxvjBPqATtPYuPA8IPrbg/EktMHLG4RKvo28OaLUa/PxJO6OdSbKkGSDRaE3R6otRiPj9+AOvqyED7ubAw19wSpgBRETiU123RKWSLkp0GVnyhY0kZP0BVO3SBCbmReuX9Uf3xrmvfpULW5LsxJTCCxiRZISegamVrXwxI3Hu8CpuH9+KAl1OkWWtqzeCVVU/aEyK/snHbv4CHgOmyRczEjOHytCYFh18m4iMj5ODBfYs61ri8beaDtyKqp3Xyj9Lou1Trtjw5TMwMdEIn/1R+8/IhS1JUvB1uXWGpbO9/LzeqF4IWrZNvqmVSC008jKLZqnI5wGtbaXC3/Mz04CCgsJzH88DYpO6XH82rkmJl9cnB0xNNVj1eXt0alExM7QaMgMkAe/2Q/i2o0gNjXngdTVkwOMwA4iIxKe6lltKZVutChzrVkPvPfeaV2utLGDtVnQGtEq+XnBuVBON3u0HUwszhPz6F4J/2AnRZMeFITPiAi6+fW+a8/zsDPkbeX1k3biI9GsnEb12Ogpys+Hc4RVU6TWuDPaYiMqCNMj738t7ouebu3Hu8i2Dbfe5DtWwelYHWFtpFZH99/Md0AFpEXFylyNJpdpeSLtxE103TYeZrTUi957C2bnrjf6LD33PAze3LcDNnYuRmxgJ77Hfy12VJDwPiG/y641gZ2OGd774BzpdgUG2KW1v5WdPo3cHbyghA1wa+6JyYG3s7j/jTvfD+6gnA+Yjce+PMK9cDR6DPiksijEDiIjEZ7xX7KS3+DNXsWfgJ4XPB/z7Q7HLSU3S7apVwR/PT4V5JRt03TQDqRFx8oWMaGx8m8N3+q7C5+eG6D8teEGeDjlxYajz2UHkpSfh8gdPw9ytBio17WngvSWisuLlZoPjq3tj5rKz+PyHc8jLK/3Nrb2tGb6e2AJDn/MVYrDtkmb/Xe5tGqDR+H7Y3X9m4WtSCwWpBcielz+V/83P/Pw+6rzaBZd++gNKOg9IN6vSQxqjJ2zeYNgHdIHW3pnnAYUYO9AfbRq7YuiUg09c6O7c0gPff9xWiNlkS5IBplbmaDHrdRx4/ctit6GGDPAY/CnMHN3lVvxJRzfLY3LVX3pVbvnFDCAiEh+7JSqE9A28jadL4XNpUFGttSUyYote3KVHJSB089/yt3HZt1IRte80Kgf6QjQWrjWQk3C98HleRgrystJh7qxf1wHp2zvHdgPlCztp7BWHwO5Iv/xPGewxEZUlczNTzBwbiOOreqNvRx+5O5E+bKy0GPFiHQRtegHD+tQWorClT/ZLXFv6o/XXo7HvlVnyeDz3nxcidhyTuy1KY3Bd33lMbuGh1POA1FXd3MkTqf8ekJ/zPKAcAXWd5UK3NLtpdU87vddvVMcJKz5th13fdBWisFXSDLDzdoOtpwu6bvwYLx5fAv/hPeTxudrMH6uaDJBeuzs8hWPL52FqZY+sqMt33mMGEBEJj8UthZDGWpAGhXdv11B+Ls1qE/bbYeTn6IosKxW2PDvcaYZtamkOt1b1cCsoAqKRmpJLg31KM99I4ncugVOb/tBo70xxXlJO7V5Gyuk730zmZ2fKNzvSjQ8RiekpfxdsnNcR4b/3x7RRjdEu0A221ncGBn5YZUdLecD4Be+3QNTegVg2tY3cCkyJ2e/awg9tF76J/UPnIOnig5kfuvkQPJ9uJI/DpTE1gcfTjQrH8FHKeSDz+sXC37NjQuSxeiyr+svPeR5QXqH73Vca4Or2F7FjcRe83L0mfL3vjC/3MKkI3sDXEa/3rY3DK3rizPo+GNJLjFab+mRA8qXrWFv/NWxoNlp+XPxuB66t3Y+/31qkmgzISYgs/D3t8j/QpSbC0r2W/JwZQEQkPnZLVJCDY+ajzddjYD5rOFLDY3Fw7AI41qlWZLmLy7ah5ZyR6PPXPGk8XUTs+AcR249CRNXfXYXwBcNwfekbsHCvhervrkRmxL9FlkvYtxzRqz5CXlqSPNtN3Ja5qPXRNljXaAzX595FxJKRCBrjL1/UObZ8AY6t+1XIv4eIDEcqUn08+il8LN2s5Bfg2vUU3LyViZzcfFhamKKqmw28XG2EuYl90uxv/eVomJqboc280ffWfXOhfNMbtuUwnBvUuHNeyMuXZ1YM/n6nos4DUT9PlMfn0WjNoDHRotrIRfJEIxKeB5TJ1NQE3dtWlR+S26k5uBx+GxlZOul/M+yszeBXoxKsLLWqyIDHUUMGSLMq5t6Og8bEFCbmVqg58dfCAeSZAURE4hP7bE4PkG5Qtned9J/L5WXnFn5TJzornwbw++rkfy7n0nGo/CiOibklqr/9cxnsHREZC2m2w9o+DvJDrdm/qfWbj36zoAAnZ6yQH0o9D9Sasv2R7/E8oA4OduZo1kD/sTmVkgH3O/vletVlQO2Zex/5HjOAiEh87JaocHm5Olg42smz6Nyd8v1xmkwZggZvPo/s5DSISmqKrktJlGfOyU2++UTbivxpAmI3fA6tjaPB9o+IyNiy/3H8R/SUB6LOupUKUfA8QGrHDGAGEBGpjaagQOqYRsYmNyMLq2oOhigGhayEmbWlwbaXqQPaitEavtCh7oAV20KSkfPqtAZRNzPgWUWa6n1gRe8OKeg8YOhzAc8DZYc5IAa1Z4CEOUBERCXFlltERERERERERCQsFreIiIiIiIiIiEhY7JZopKT/LbrMbIhCa2Vh0BnHpL/KrDwIxdJUnmCHyKixO5I4RDsPGPpcwPNA2WEOiEHtGSBhDhARUUmxR7iRki4MDDlmgWikiwKOV0BEasbzAM8DpG5qzwAJc4CIiEqK3RKJiIiIiIiIiEhYLG4REREREREREZGwWNwiIiIiIiIiIiJhsbhFRERERERERETCYnGLiIiIiIiIiIiExeIWEREREREREREJi8UtIiIiIiIiIiISFotbREREREREREQkLBa3iIiIiIiIiIhIWCxuERERERERERGRsFjcIiIiIiIiIiIiYbG4RUREREREREREwmJxi4iIiIiIiIiIhMXiFhERERERERERCYvFLSIiIiIiIiIiEhaLW0REREREREREJCwWt4iIiIiIiIiISFgsbhERERERERERkbC0Fb0DVLyCggLoMrMhCq2VBTQajcG2V1AAZOVBKJamgAH/ExCpmmgZKGEOMgfJsNSeA8wAIiKikmNxy0hJF3Orag6GKAaFrISZtaXBtiddzLXdCaEc6g5Y8YgiUmUGSpiDzEEyLLXnADOAiIio5NgtkYiIiIiIiIiIhMXiFhERERERERERCYvFLSIiIiIiIiIiEhaLW0REREREREREJCwO+UhEpHA5uXn492oSgkKSkJaRK7+WkanDyaB4NPB1goW5aUXvIhGVsbjETJy6mICouPTCHMjM1snPPapYG3SmTyIiIqLyxuIWEZECpabnYOX2EPy89SrOXEpETm7+A+8npeag6cCtMNOaoFEdJwzpWQuv9KqFSvYWFbbPRGRYpy8mYMm6YPxxOBJRNzOKvH/rdg68Oq+Fq7MVOjb3wBsv1UXrxq4sdBEREZFwWNwiIlKQlLQcTFtyGt9vulLYOuNxcnX5OBmUID8mzz+JYX188cnYQBa5iAR24EQM3v/6BI5diC9xq67VO0PkR8PaTpg55in07uBd5vtJREREZCgsbimIW8t66Lpp+gOv5aZnIiU0BiEbDiL4h50oyHuw9YaSpF44gCsfdXjgNRNLG1h41IZz+yGo0vNNaEz5J0/KtfefKLw27RCux6SXav2MLB0Wrw3G5v0R+G5aG3RvWxWiYQ4yB9VMKmhPmndCbq1VWuev3MJzb+3F4J41MX9SSzg5iFfoZg4wB4iISH14ZlOg0E2HELn/NKDRwKpyJdTq9zSaTR8KB19PHJ2wDErn2G4gHAK7AwUFyE2KReKBFYj88V1kRQbDe8y3Fb17RAZXUFCAGd+cwcdLzxhke9E3M9BjzG5MHNYAs95uKmQXJeYgc1BtIqJT0WXkLlyJuG2Q7Undmv88HoNd33RFvVqOEBFzgDlARETqwdkSFSjxQhhCNx5C6IaDCFq6FTt6fID0qATUfrkjLJztoXTWNZ6Cc/vBcO4wBG59J6DunH9g5uyFhD3fI/d2ybpoEIlE6k5oqMLW/eb8dAHjZv0jF89EwxxkDqpJeFQq2ry6w2CFrbukcbraDduBf6/egoiYA8wBIiJSDxa3VECXmY3401ehMTGBvbcr1MbU0gY2dVrI31xmx4ZU9O4QGdTC1UGY/eP5Mtv+ojUXMeuHstt+eWEOMgeVPM5el1F/IDKudN2R/8ut29noMmoXYhOKDkgvGuYAc4CIiJSLxS2VsPO5cxGXnZwGNbp7Eae1daroXSEymEthyZjw1Qm91jmxpjdu7Bkg/yypqUtO4eylRIiOOcgcVKL3vjyOqxEpZZoDMfEZGDXzsJCtOB/GHGAOEBGRMnHMLQXSWpnDwsmucIyJOq90gXODGvK3ldJgqkqXn50BXUqCfBGuS4pF/B/fIDP0DKx9m8HSs3ZF7x6RQeTl5WPYlIPIzsnTaz03F2t4udrotY5OV4ChUw7i+OreMDczhQiYg8xBNdh9JBLfbbys93qlyYHf/ryONTtD8XKPmhAFc4A5QERE6qGK4lZCQgLmzJmDTZs2ITIyEpUrV0bfvn3x2WefYdy4cfjxxx+xcOFCjB07FkrQeOIA+XG/8B3/4Njk76EGMWumyY/7VWrZF9VGLq6wfaKKlZObh017w7Hj0A3cTs2FtZUpAv1cMKxPbbg4WkJEG/aE45/z5TdmyrnLt+QBpv/3vBg3RMxB5uDDQiNT8P3GK/K4VLq8fFRxskL/Z2vgmebuQk6aIBUs9G25+aQmzjuOl56tDq1WjIb/zAHmABERqYfii1tnz55Ft27dEBsbCxsbG/j7+yM6OhoLFixASEgIbt26M0hqQEAAlOLyL7sRvu0oTMy0cKxbDfXH9IGNuzPysnMKl3l66TuAiQZ/jfyq8DXzSrboc2AeTs5YIc8wJCqXZ0fAsVU/FOTlIjPiAmI3zUZOQiQ0ZveKGKlBh3BtRrci6xboclCQn4fAzfq1hiHjvflbsCoIn/9wHnGJmQ+8t+6PMExZfBqDe9TE15NawNbaDCJZsi643D9z8dqLGNbHV4hCAHOQOXj/LIKjPz2C3/+OlIYaeoDU6qmOjwPmvNMUvTt4QyRHzt7E+SvlO9C7NMD8tr+u4/mOPhABc4A5QERE6iHGV29P0GKrV69ecmFr/PjxiImJwenTp+Xns2fPxo4dO3DixAn5Rq1hw4ZQipTQWMQcuoCo/Wfw75LfsO/VWXAJqImWs0cWLnN08neo0rQOqvdpXfhai89ex83jl4S+kJNYuPvCPqATHAK7wa3vRNT6cBsyrp3A9aWjCpexq9cWjdelPfCot+QKtHYu8Hh5ZoXuPxmusPXW7H/w9pxjRQpbd0ld+n7YfAXt/7cTt1Pv3ewYO2nmsoOnYsv9c08HJ+L4BTFm2GIOMgclV8Jvo8Xgbdh5qGhh667L4bfR5+29+GGT/t371FbglixeWzGfWxrMAeYAERGph6KLW1KXQ6kbotTdcO7cubCzsyt8b+LEiWjUqBF0Oh18fHxgb6/cKaHjT15GyIaD8oVb5SZ15NdyktNwZPxSNP/0dVi5OsK7Rwu4taqHo5OWQWls/VrBqf0QJP29DmnBR4pdJj83G6Gz+sLWvw3c+31Q7vtIZXMDtnD1xRIte+piAl5+/0+IQupeqcbPfhLMQfXlYEamDt1GS7P8FV/cvp9U+Bo58zAOnowRpnhfUcfinydikJ6RCxExB9SXA0REpB6KLW4FBwdj3bp1cHFxweeff17sMoGBgfJPqch1V/v27eWWXMU9Ro26902XaM7N24B8XR4aT+hf+FrUn2cRvu0I2i0ahxazhssXd9lJypw9yL3/FMDEFNGrpxb7/vUlo5CfmwWft5aX+76R4eXm5uPzH87ptY7UsuNMcAJEcOpixc1cKBUCRcUcVFcOrvk9BKGRqSVePi+vALN+PA8RhNxIrbDWpvn5BThXzt0hDYk5oK4cICIi9VBscWvNmjXIz8/HoEGDYGtrW+wyVlZWRYpbS5YswdGjRx94fPTRR/J7PXv2hKhSw2MR9ttheLRriCrN/QpfPzl9Beyqu8lN9iP3nYZSWbrXglPbAUg9v08eX+J+N7ctwO2T21Fz8haYWFhX2D6S4Ww9EIHomxl6r7d0/SWIoCILTFJhTWo1IiLmoHpyUPobLU33uT8ORyLkRgqMXUUXmSv6858Ec0A9OUBEROqi2OLW/v375Z8dOnR45DJSl8WHi1vSgPMtWrR44CENSi/NsNi1a1eI7Pz8jcjPe/DbSl1mNtIibiIp+DqUzq3fh4CJyQPfVqae/xORKyahxsRfYeEqxgC5VLIb1NKQBpwWwfXYimtRII1fptOJWdySMAfVkYMJSVk4c0n/Fo5S3Xb3kSgYu+sxFduq6HpMOkTGHFBHDhARkbpoCkT9Cv4/VK1aVS5enTlzptiZEKWxttzd3eVB56VZE2vUqFHsduLj4+Hh4YHRo0dj/vz5pdqXJk2ayIPY68OswATT8puhPHTdOB039pxC0DdbS72N6SbHkavJN9g+acyt4Pr1VZSl7LhwXHqvKdwHTEOVHmOfeHtxb/uiIOe/x3ahsnfLph8yLerrvZ6mIBseSZ/BmBVAg2injx/5/ok1veHm8uhv3N1crKA1NYEuL/+xYxHFJmSg6cDiM8H91qcwQdl2iSrPDJQwB5WVgzoTJ8RVeqtU69pn7IFd1t8wZimW7ZBq3bFUGWCIHLDJOoZKGTtR1tSeA+WRAYbOAWPJACIiEpObmxtOnjxZqnW1UKj09DvfKmZmFn+Clcbjkgpb0iDz1atXf2z3RqkQNmTIkFLvi1TYiorS75tgc40p4AphRMdEI6fAcNNFS83hy/Kfn5+dgZDP+8ChWW+D3NBJoqOj5e2SEfC6DVjov1qBLlPvY7VCOOYBUkYUQ7qp9XK1+c9NSDe2JVmuODHRN6T/WChLomWghDloRDmoTQMqlW7VlOR4pCQaeQ64JAGPqF+VNAOeJAfSU28jPbbs/xupPQfKOgPKIgeMJgOIiEh1tEqu+CUlJeH06dNo2bLlA+/FxMRgwoQJ8u8NGzaUB4t/lF9++QV+fn5y66sn2ZfSfFsJwzUAKHMe7h4Gb7FQlpKObERm2DlkRV2RZw16WL1FF2FeuZpe25Ra+PHbSuOQZp6E26VYz7IgFs6enjB2MQUZyNfcm/314ZYWhmqxURxNQRbcPVzx6NQ0DNEyUMIcNJ4clFo4xuUlI89UjwqX1JBdo0FlmzSYWxp3DqSba5H8iPf+KwMMkQP2NhrYlUNWqj0HyjoDyiIHjCUDiIhITKWpnSi+W+K4ceOwcOFCuXvi3r17Ubt2bfn1EydOyK2wQkNDkZubizFjxmDRokXFbuPSpUtyYeuzzz7D5MmTy3X/czOysKrmYIhiUMhKmFlbGmx7mTqgbdn3eDCoQ90BK8WWi8WSkpYDz05rkJahX+ui35c8i65tvGDseozZJc/uWBo39gyQW2pExqWjaue1eq//dBM3HPixB8qaaBkoYQ4aVw5+9t1ZfLjwlF7rPOXnjJNrn3vsl17G4NzlRAT021Lq9Z80B3Yv64rOLcu+uKX2HGAGEBERlZxiB5SfOHEinJ2dcePGDdSrVw8NGjSAr68vmjVrJo+v9cwzzxQZTL64VlvSBa404yIRicPe1hyvPV9Hr3X8alRCl1bG3VrjrkB/F1V+NpE+XutbB7bW+t1lvz24ntEXtiT+NRxhYV581+TyIBUBiYiIiIyJYotbXl5eOHToEHr06AFLS0uEh4fDyckJy5Ytw44dO3DlypXHFrekBm2rVq1C+/btUa2aft0yiKjizXq7CdoFlqxZq4ujJbZ83QkmJsZ/Uyvp0NRdlZ9NpA9XZyus/+IZaE1Ldly/8VJdDO5ZCyIwMzNB26cqZjCqhrWd4FzJcC0UiYiIiAxBscUtidSlcPv27UhNTZUfx44dw4gRI+TB5qVil4mJCerXL35GtYMHDyIiIuKJBpInoopjaaGVuxn27/roCSMk9WpWwuGfe6K2jwNE0b6pO+pUwP5Wc7dBNwG6bRLd1a1tVfyxtKtc6HoUM60JPhoRgEUftBKi1dZdo/rVVdXnEhEREam2uPUoQUFBcsssqZuitbX1I7skWllZ4cUXXyz3/SMiw7C20mLtnGdw6bcX5O5Gvt72uNs4y9LCFHu/7YYLm/oKVdiSSDfgo/v7lfvnjurnB1NTVZ42SGAdW3jg+u7+WDunA55p5g7T/w8BqUXXp28GyuNPzRwbKEzLzbt6t/eGR5VHTJlYRmytzTC4Z81y/UwiIiKiklDlXcqFCxce2yUxKysLGzZsQJ8+fWBnV/yMZEQkjjrVK2HexBa4sq0f3CvfuRl0drCQb3pFaqlxv2F9fFHVzabcPk9q+TKSLTZIUOZmpujftQb2fd9dninw7t/0B8MDHtuqy9i7Jn40PKBcP3P8K/VhZ2Nerp9JREREVBIsbhVDGqMrOTkZq1evLuc9IyIqGekG8/uP25Tb530zpRWcHCzK7fOI6L9JBWepm3J5aFTHCR8Mf/QkPEREREQVSZWT9f5XcUtUjv7eaDV3FMxsrZAeGY+Dby6EY+2q6LTqA6SERGP3gJnISkxBhx8nwK5qlQfW2z9sDm7sPgn/ET1Rd+iz0KVnYWvnCTB2GWHnELF4OPIzU2Fe2Rs+7/yCrOtBuDqjGyw968D3490wq1QFCXt/RNzWeci6EQyvYXPh2vvtwm2EfPY8sm+GFT7PDD+PmpO3oFLz3oj7bR7idy6GiZUt/L8+W0H/SqLidWnlJd/cLvv1UonXiU3IeOBnSQzqURN9nvGByLn31OSX4d29OfKyc5Gvy8PpWasRfeCcvI3mn70O16b3Ztd0qOWJk5+sRPAPO+HTuxUCxveDtasTVtd9FSLnYNQvHyL5xFZoTO7MsufW9304tRsg/84cFJPUlfLH6W3RqN9mpKbnllkOmJuZYPnMdnILOJFz4C4HX0/02jUHV1buwfGpy4XPgZJmQPj8oUg5uwdah8ryevaNOsNr2Bfy78wAIiISnSqLW/v374cStfl6LA6/sxi3gsJRa8AzaDr1FVxb+6d8YXd/oerP/925kJE4N6qJzqs/RNSfdy5WLn67HbcuhKHZjKEQgXSh5jPuJ1jXCJALWJE/vQeXjsPki7n7L8CsawaixoT1iN3weZFt1Pxgc+Hv6VdP4ur0rrB/qqv83PW5d2BdozFu/HCvGEZkTBa83wIR0Wn443BkiZZvOnCrXtt/uokbvptWfi3Eyir34o4F49y8DcjLypFvhLttnoH1ASOgy8zGsQ++L1zOqnIlvHBsMcK3HpGfSz8TTl9F771zIXoOuj4/AZ5DPpV/z0mMQtAYP9gHdILW3oU5KLDqXnbYuqAzur6xC9k5eQbPAamAJo1XFlDXGaLngESjNUWrL0Yh4vfjD7wucg6UNAPu5sD9X/DdxQwgIiLRqbJbohI51a8OXUaWfGEnCVl/AFW7NIGJ+ePrl74Dn0HoxoPIz9VBNBmhZ2BqZStfzEmcO7yK28e3okCXU2RZ6+qNYFXVDxqTx//JJ+z9Ac7tB8PEjGOKkBiklhSb5nVEz3ZVDb7tzi09sH1RF1hZaoXPvaj9Z+TCliQp+Lo0Kj8sne2LLFfzpfaI/uscMuOTobQc1NpWKvw9PzMNKChAQX5+keWYg+KRuibuXNwFNlaGPValFlu/zn0Gz3c0zpabpbn+CXi3H8K3HUVqaMwjtylSDuiTASXFDCAiIhEZ5x0L6c22WhU41q2G3nvutcrSWlnA2s3pkeuYWpqjRp822NlnCkSUHReGzIgLuPj2vQF187Mz5BYJpZGfnYmkQ2tQ57NDBtxLorInFZ82f90Js388j+nfnEGurmjBQh+mphp88HojfDQiwGi7IZU29yS+AzogLSIOaZHxxb53YsYKKDUHb25bgJs7FyM3MRLeY7+Xuyrdjzkormeae+DEmucw9KODOP5v0b9tffnXrISfP2mHJvXudGFTQg64NPZF5cDa2N1/BgLGv/TIbYqUA/pnwHwk7v0R5pWrwWPQJ4VFsXvrMgOIiEhMLG4pSPyZq9gz8JPC5wP+/eGxy3v3bIHbodFIvnQdorLxbQ7f6bsKn58bUvqL8KQjG2DhURtWPg0MtHdE5UerNcGHIwLQu301jJjxN/45X7qb26f8nOVuiE/5u0CJuefepgEaje+H3f1nFnmvSnM/ecyeqH1noNQcrNJrnPyQxugJmzcY9gFdoLW/192MOSg2vxqVcHhFT3y54gI++fYc0jJKPg7XXZYWpnhncH1Me6MxLMyNt7itbw6YWpmjxazXceD1Lx+7LRFzoKQZ4DH4U5g5usut2JOObpbH5Kq/9Krc8usuZgAREYmKxS2FkFoh2HjeuxmVLsy01pbIiL31yHVqD+yIq2vEHX/MwrUGchLuFebyMlKQl5UOc2fPUjfDd+n0mgH3kKj8NajthCO/9MLxC/FYsi4Y63aF/ec4PGZaE/TrUh2j+/uhVUAVaDQaKDH3XFv6o/XXo7HvlVnyWDwPqz3wGVz79UCxXfWUloNSV21zJ0+k/nsAjq1eKHydOaiMQvek/zWSj+eV20PkHPj3WtJ/rlezqh3eeMkPQ5/zhXMlS4iipDlg5+0GW08XdN34sfzc3N4GMNHA3MEWf7+1SNgc0CcD7n/NseXziFrxPrKiLsOmVmDh68wAIiISFYtbCiGNNZGfmwf3dg0Rc/C8PONh2G+HkZ9T/Fhadj5ucG5UA/tenQVRSU3pNaZm8sw/9gGdEb9zCZza9IdGq/8YEVkx15Bx7SRqfajfYNtExkgqTjVvWEV+LJvaGuevJOHUxQT5BldqyVFQAHlsnvq+jgj0c0GjOk5GO66WoXLPtYUf2i58E/uHzkHSxYgi70s3xFJrVhFmiS1tDmZevwirav7y79kxIfJYPZZV7zyXMAeVxc7GHG/098Ool+oi+mYGTl5MkHMg6maGXPCWxtNyc7ZGoL8zAv1d4O1hK0xhuzQ5ILVSX1v/XtFG6pZo7mBdOFuiqDmgTwbkJETC3MVL/j3t8j/QpSbC0r1W4fvMACIiEpl4dzP0SAfHzEebr8fAfNZwpIbH4uDYBXCsU+2RA8lH7DiG3LRMiKz6u6sQvmAYri99AxbutVD93ZXIjPi3yHIJ+5YjetVHyEtLQvKxLYjbMhe1Ptomz/4jkcafqNTyBZhaFx1gmkhklhZaNGtQWX6oOfdafzkapuZmaDNv9L1131xY2C27ep/WSDwfitSwWCg1B6N+niiPz6PRmkFjokW1kYvkiTbuYg4qk1Sw8nS1kR/PdfCG2q9/HkfUHChpBkizKubejoPGxBQm5laoOfFXmNo4FL7PDCAiIpGxuKUg0k3a9q6TSrTs6c9XQwmkMSH8vjr5n8u5dBwqPx7Fc8hnBt4zIjKm3NvU+s3Hvn9l5V75oeQcrDVl+2PfZw6SGq5/7jr75XrF5EBJM6D2zMf/25gBREQkMpOK3gEqW3m5Olg42smzCBU37f3D/Ef0lAdczbqVClFJTfF1KYnyzEG5yTefaFtxv83D9W9GQ2snxuDaRKR/7j2OT+9W6LjifWTGJ0MkzEFSO7XnADOAiIjURlNQII2+QsYmNyMLq2oOhigGhayEmbXhBqDN1AFtd0Ioh7oDVmwLafS8Oq2Rx5zxrGKNyL0DK3p3SCEZKGEOipGDzABxqD0HmAFEREQlx5ZbREREREREREQkLBa3iIiIiIiIiIhIWOyWaKSk/y26zGyIQmtlYdApxKW/yqw8CMXSVJqVqqL3gv4LuySJQbQMlDAHxchBZoA41J4DzAAiIqKSY694IyVdGBly7BbRSBdGHLOBSL3UnoES5iCpndpzgBlARERUcuyWSEREREREREREwmJxi4iIiIiIiIiIhMXiFhERERERERERCYvFLSIiIiIiIiIiEhaLW0REREREREREJCwWt4iIiIiIiIiISFgsbhERERERERERkbBY3CIiIiIiIiIiImGxuEVERERERERERMJicYuIiIiIiIiIiITF4hYREREREREREQmLxS0iIiIiIiIiIhIWi1tERERERERERCQsFreIiIiIiIiIiEhYLG4REREREREREZGwWNwiIiIiIiIiIiJhsbhFRERERERERETC0lb0DlDxCgoKoMvMhii0VhbQaDQG215BAZCVB6FYmgIG/E9AKidaBhg6B5gBROLlAK8FmANEREQVhcUtIyVdzK6qORiiGBSyEmbWlgbbnnQx23YnhHKoO2DFI4pUmgGGzgFmAJF4OcBrAeYAERFRRWG3RCIiIiIiIiIiEhaLW0REREREREREJCwWt4iIiIiIiIiISFgsbhERERERERERkbBY3CIi1cjLy0e+NP3W/89CRkTqIh33d499ZgARERGRcnA+FyJSrLOXErHtr+s4dTEBJ4MSEHUzo/C9mIRMdHhtJwL9nNG+qTu6tfGCqSnr/URKkpGpw6Z94ThyNg6nLibi/NVbyMrOk9+Ljs9E7V6/oom/C5rUc8GLnaujmrttRe8yEREREZUCi1tEpCg6XT7W/hGKJeuCcfTczUcuJzXaOHAiRn58ueJfVHO3wcgX62Jkv7pwrmS4qeyJqPyFRqZg4eqLWP7bVSSn5jxyuasRKfJjze+hmPDVCfRoWxVjB/qhc0tPaDSa8txlIiIiInoCLG4piFvLeui6afoDr+WmZyIlNAYhGw4i+IedKMjLh1KlXjiAKx91eOA1E0sbWHjUhnP7IajS801oTPknr2QXQ5IwdMpBnPg3Qe91r8ek48OFp/D1yiAs/agVXuhcHSJiDjAH1N71eN4vQfho0Slk59xpoVVS+fkFcktP6fFCJx8s+bAVqjhbQTRqzwAJc4CIiEh9eGZXoNBNhxC5/zSg0cCqciXU6vc0mk0fCgdfTxydsAxK59huIBwCu8tNc3KTYpF4YAUif3wXWZHB8B7zbUXvHpWR+Sv/xcR5J5CT+2Q3bfFJWXhx/H4M7FYD33/cFtZWYsYkc4A5oDaRsel4acL+x7bYLKmNe8Px16lY/PxJO3RvWxUiUnsGSJgDRERE6sEBZhQo8UIYQjceQuiGgwhauhU7enyA9KgE1H65Iyyc7aF01jWegnP7wXDuMARufSeg7px/YObshYQ93yP3dnxF7x4ZmDQo9OT5J/D2nGNPXNi6n9RN6dlRfyA1/dFdmowZc4A5oCYhN1LQZuh2gxS27kpIykLvcXuwekcIRKT2DJAwB4iIiNSDxS0V0GVmI/70VWhMTGDv7Qq1MbW0gU2dFvI3t9mxYt6k0KPNXHYWs344Xybb/vtMHHqP24usbB1ExxxgDihV9M10dBr+OyKi0wy+7by8Agz58C9s2R8O0ak9AyTMASIiIuVicUsl7HzuXMhmJxv+4l8Edy9itbZOFb0rZED7j0Vj2pLTZfoZ0oDzHy89AyVgDjAHlNhyUxpnL7wMClv3j8X16kcHcSNW/ONG7RkgYQ4QEREpk5iDydBjaa3MYeFkVzjORp1XusC5QQ35G1tpQFmly8/OgC4lQb7p0SXFIv6Pb5AZegbWvs1g6Vm7onePDCQtIxevTTuk93on1vSGm4s1YhMy0HTg1hKt88XyC3j+GW80b1gFomAOMAfU4PuNl7HnaHSZZ0BKWi6Gf/w3fl/6rDCzKKo9AyTMASIiIvVQfHErISEBc+bMwaZNmxAZGYnKlSujb9+++OyzzzBu3Dj8+OOPWLhwIcaOHQulaDxxgPy4X/iOf3Bs8vdQg5g10+TH/Sq17ItqIxdDza7HpOFiSDKycnRwdrBEi4ZVYGYmbuPN6UvPlKq1hnRT6+Vqo3fLjeHT/8a5Dc8Lc2PLHGAOPEyny8exC/FISM6CudYEdatXQnUvO4gqMTkL4788Xi4ZINl1JArr/gjFgG41IQK1Z4CEOUBERKQeii5unT17Ft26dUNsbCxsbGzg7++P6OhoLFiwACEhIbh165a8XEBAAJTk8i+7Eb7tKEzMtHCsWw31x/SBjbsz8rLvDYz99NJ3ABMN/hr5VeFr5pVs0efAPJycsUKeZUlULs+OgGOrfijIy0VmxAXEbpqNnIRIaMwsC5dJDTqEazO6FVm3QJeDgvw8BG7Wbwp5Y/bH35FYtPYidh66IQ0zUsi9sjWG962D0QP84CrYdPfpGbn4btPlcv3MC1eT8OfxGDzT3AMiYA4wB+4fGH3p+mB8u+EyIuPSH3ivSytPjOnvh17tqwlTuL3rpy1XkZqeW66fOX9VkDDFLbVngIQ5QEREpB7iNtsoQYutXr16yYWt8ePHIyYmBqdPn5afz549Gzt27MCJEyfki/mGDRtCSVJCYxFz6AKi9p/Bv0t+w75XZ8EloCZazh5ZuMzRyd+hStM6qN6ndeFrLT57HTePXxL+YtbC3Rf2AZ3gENgNbn0notaH25Bx7QSuLx1VuIxdvbZovC7tgUe9JVegtXOBx8szoQRSN4x3v/gH3Ubvwo6DDxa2JDHxGZix7Aye6r8F5y4nQiSrd4bgdmr5z2K4ZF0wRMEcYA5IgkOTEThgC6YuPl2ksCXZfSQKz721F6M/OYK8PMPNNlrWpNaUUsGuvP1zPh6nLyZABGrPAAlzgIiISD0UW9ySuhxK3RCl7oZz586Fnd29rhcTJ05Eo0aNoNPp4OPjA3t7ZU+JHX/yMkI2HJQvXis3qSO/lpOchiPjl6L5p6/DytUR3j1awK1VPRydtAxKY+vXCk7thyDp73VICz5S7DL5udkIndUXtv5t4N7vAyjBlEWnMO+XoP9cLvpmBrqM/ANhkakQxS/br1XI5275MwIpaeVfVDME5oD6ciAyNh2dR/yO6zFFi1oP++bXSxg/V/8ufhXlyNk4hFZQZq3YVjH586TUngFqzQEiIiK1UGRxKzg4GOvWrYOLiws+//zzYpcJDAyUf0pFrvsdOnQIHTt2lNetVKkSWrRoIY/XJbpz8zYgX5eHxhP6F74W9edZhG87gnaLxqHFrOHyBW52kjJnUHLvPwUwMUX06qnFvn99ySjk52bB563lUIKQGyn49LtzJV7+5q0sfLjwJEQgtS45dbFiWprl5RXgzCWxWrndjzmgrhz4eOlpRN3M0KvL3YUrd7rrG7vj/8ZX2GefCKq4z35Sas8ANeYAERGRWiiyuLVmzRrk5+dj0KBBsLW1LXYZKyurIsWtc+fOoXPnzjA1NcXy5cvlAlnVqlXx4osvYvv27RBZangswn47DI92DVGluV/h6yenr4BddTe520LkvtNQKkv3WnBqOwCp5/fJ42vc7+a2Bbh9cjtqTt4CEwtrKME36y/pvc6GPeGIS8yEsbsUdhsZWboK+/yTQWJ0SSoOc0A9OZCUko3Vv4fovV5FdPUrjYoqcEukArc0OL+I1J4BassBIiIiNVFkcWv//v3yzw4dOjxyGanL4sPFLamYJY3BtWXLFvTs2RPPPvss1q5dKxe4Vq1aBdGdn78R+XkPfmOry8xGWsRNJAVfh9K59fsQMDF54Nva1PN/InLFJNSY+CssXH2gFMu3XtV7nVxdPtbs1P9muLwFhSSp+vOfFHNAHTmwYXcYMrP0Hwj7l+0hQoy9VZHHofTftTQztRoLtWeAmnKAiIhITTQF0qjTCiMVo6Ti1ZkzZ4qdCVEaa8vd3V0edF6aNbFGjRry6++99x6+++47JCcnPzBrVP369VGvXj25+FUaTZo0kQey14dZgQmm5TdDeei6cTpu7DmFoG+2lnob002OI1djuBsijbkVXL/Wv0Cjj+y4cFx6ryncB0xDlR5jn3h7cW/7oiCn4ls+FUCLaKcppVrXNvMIHDJ3wZilmzdGsm2fYt87saY33Fwe/227m4sVtKYm0OXlIzbh0f+/YhMy0HRg0WPCKvtfOKX/irJWnhlgjDlQHhlg6BwwlgyQpFh1QKpV+1Kt65Y0C6YFxvHveJRYh3HIM3UuVQ6UNAMelwOVby+FeZ5+5/XS4LUAc4CIiEhN3NzccPJk6YbL0UKB0tPvDJ6bmVn8xYVUpJIKW9Ig89WrVy98fciQIVi8eLE8u+KkSZOg1WqxbNkyXL16FUuWLCn1/kiFraioKL3WMdeYAq4QRnRMNHIKDDddttQdoCz/+fnZGQj5vA8cmvU2SGFLEh0dLW+3wmm0gFPpVk1LS0VarH5/q+XO0QcovrexfEPr5WpTos1IN7clXfZ+Uq7oezyXhmgZYOgcKOsMKIscMJoMkFRJBe70vtdbbEwMkPffg9BXKBsdYPpkOVDaDJDE34wDspgDol8LKD4HiIiIVESr1GpfUlISTp8+jZYtWz7wXkxMDCZMmCD/3rBhwwdaaEldFPft24e+ffti3rx58ms2Njb49ddf0a5duyfan9J8Wwvj7xlSyMPdw+Df1palpCMbkRl2DllRV+RZkx5Wb9FFmFeuptc2PTw8jObb2pj8NOSbPKIC9BgO1vmw9fSEMcs0s8atx7Sy+C/6tNwqjrWVKRzL4b+RaBlg6Bwo6wwoixwwpgxIt8hHcinW0xRkwd3NERpUgjG7aZqP3FLmgL4tt4rjWtkR2vyyb/guWg6Idi2g9BwgIiISTWlqJ4ruljhu3DgsXLhQ7p64d+9e1K5dW379xIkTcuus0NBQ5ObmYsyYMVi0aFHhelILrWeeeUbuyjh69Gh5YHlprC2puCUNKC+9V15yM7KwquZgiGJQyEqYWVsabHuZOqDtTgjlUHfAykjKxZPmHcecny7otY65mQlu7B6AKs5lfzPxJC6GJKHe86WfwfTGngFya43IuHRU7bxW7/W/fK8Z3n2lAcqaaBlg6BxgBjyZ5JRseHZaq/fkC2MG+GHRB61g7AZPPoBVO0IqJAOsLbVIOToEpqZlP2ypaDnAawHjygEiIiI1UeSA8hMnToSzszNu3Lghj5XVoEED+Pr6olmzZvL4WneLVPcPJi/54IMPYG1tjc2bN6Nbt27o0qULfv75ZzRv3lzuqkgkipH96uK+Rokl0q9LdaMvbEnq+DjApgLvHAL9XSrss4lKqpK9BQb1qKn3em+8dG8GPWNWkcdhQF2ncilsEREREVHJKfLqzMvLC4cOHUKPHj1gaWmJ8PBwODk5yeNn7dixA1euXCm2uHXhwgX5NWmsrYcHhA8OFmN6dCJJDS97TB3ZuMTLS910Pn0zECKQbior6sZWq9Wgcd3iB7EmMjYfv9EYVd1KPqbU+Ffqo14tR4igWf3KqvxsIiIiIiqeYhtO+/n5yV0JH5aWliYXu0xMTORZEB/u33n27Fl5NsX7C1xSd0ZPIx+HiOhh095ojKycPMz+8fxjl5O65/y+pAu8Pewgild61cLBU2U/U9nDnn/GB/a25uX+uUSl4VHFBnu/7Yaub+xCWFTqY5d982V/zHm3/GbnfFItG1VBzap2CLnx+H9XWXi1t2+5fyYRERERqbDl1uMEBQVBGmZM6qYodUG8nzQGlzTu1vPPPy8Xxn7//Xd5jK6//voLb731VoXtM1FpSJMlzHq7qXxz2+cZb5iYaIoUtWaOfQqn1z2H+r6lnF6xggzsVhOV7Mq/yDS6vxhdtojuqu3jgJNrn8Ost5vA26PoJBM921XF70uexfxJLYpkhDGT9rUiulBKRbUAtt4kIiIiMjqqK25JXQ+L65Io6devH7Zt24bk5GS8+uqrGDhwIC5fviwPKi8NUk8koo4tPLD56064vqs/nCtZyK9VdrRA2O8v4aMRjVHZyfjH2XqYtZVWHlesPDWq44Snm5R+9g6iiuLkYIFJ/2uEkB39cGxVbzg73MkBV2dLbFvUBV3beD0wc7AohvWpDXtbs3L9zLcH1yvXzyMiIiIilXdLLE1xS9KzZ0/5QaQ0nq42sDQ3lX83NzOFVit2bXvKiAD8ujsMoZFl3y3J1FSDH6a3FbIAQHT/eHXNGlSGpcWdHNAKPii6VLSbN6EFXpt2qFw+r0e7qvLEG0RERERkfFjcUhBHf2+0mjsKZrZWSI+Mx8E3F8KxdlV0WvUBUkKisXvATGQlpsCuuhtafTEKFg42MLU0x429p3Byxi9AQQH8R/RE3aHPQpeeha2dJ8DYZYSdQ8Ti4cjPTIV5ZW/4vPMLsq4H4eqMbrD0rAPfj3fDrFIVJOz9EXFb5yHrRjC8hs2Fa++3C7eRFX0VEYtHIC89Cfk5WXBo0gNeQ7+AxsQEcb/NQ/zOxTCxsoX/12cr9N9KD7KxNsOPM9qi/f/0myc+NiHjgZ8l8f7/GhrtLIklPe6fmvwyvLs3R152LvJ1eTg9azWiD5yTt2HhbI82X42GjVdlmJiZIuHMNRyd9C3ysnLg07sVAsb3g7WrE1bXfRWiZkDULx8i+cRWaEzuFHbc+r4Pp3YD5N+ZAeIa1scXG/aE4fe/I8s0AxzszLFsSmujLHCXNAPucvD1RK9dc3Bl5R4cn7pc+AzQJwfC5w9Fytk90DrcmRTAvlFneA37Qv6dOUBERCQ21RW39u/fD6Vq8/VYHH5nMW4FhaPWgGfQdOoruLb2T/ni9v5ClfT69d+PI/iHnTC1MEPP32chpsMFRO0/g4vfbsetC2FoNmMoRCBdqPqM+wnWNQLkAlbkT+/BpeMw+WL2/gtQ65qBqDFhPWI3fF5kG5HLJ8CxxfOo0mucfEEb/F5TpJzuCIcm3eH63DuwrtEYN364Vwwj4/F0E3d8Nq4JPlhwssTrNB24Va/P6NTCA1P0mHnSWI/7uGPBODdvg3yzKt0Md9s8A+sDRkCXmY1Gb/VFSlgM9r06S76R67RyMmr174DLP+9C+NYjSDh9Fb33zoXIGeD6/AR4DvlU/j0nMQpBY/xgH9AJWnsXZoDApGKTVORu8+r2Eg8ur28GSC03V372tNz6VeQMkGi0pvKXWxG/H3/gdZEzQJ8cuJsF93/BdRdzgIiISGxi90mgQk71q0OXkSVf3EpC1h9A1S5NYGJetH4pDahvZn9nMH2p5ZaJmRaZN5MhmozQMzC1spUvZiXOHV7F7eNbUaDLKbKsdfVGsKrqJ1+0P0wDDfIybsu/5+dkokCXCzMn93L4F5AhvP9aQ3w04s7fgKFJY2xJ45VZ/H93TpGPe6l4LRW2JEnB16WqACyd7eXnBQWQW31Ir0nrmlpZICMmEUrKAK1tpcLf8zPT5H90QX6+/JwZIDY3F2t54ozqnoaf8VWr1WD1rPbo+XQ1iJ4BkoB3+yF821GkhsY88LqoGaBvDjwOc4CIiEhsqmu5pVS21arAsW419N5zp3m9RGtlAWu3orPgHZ/6Ezr+PBl1X+kCcwcbnPt6I279GwbRZMeFITPiAi6+fa+wkZ+dIbfK0IfX618j5JNeiP99KXTpSXB/aYr8DS2J03Jj5thAuLlY4b0vjyMrO88g2x3SsxaWTW0NK0utIo77+/kO6IC0iDikRcbLz6UWXR2+fw/9z38PraU5Qjcfwo3dJW8NJ0oG3Ny2ADd3LkZuYiS8x34vd1OSMAPE5+Nph79/7oEBE//EodNxBtlmFSdLrPj0aTzb2gtKyACXxr6oHFgbu/vPQMD4lx54T9QMKF0OzEfi3h9hXrkaPAZ9UlgUYw4QERGJzXjv2khv8WeuYs/ATwqfD/j3h2KXq/tqV4Rt+RsXFm6WW248u3E6Es5eQ8zB8xCNjW9z+E7fVfj83JA742joI/73JXBsNxDuL05GbvJNXPmoA2x8m8I+oLOB95bK0pgB/ujU3APDph7C0XM3S70dqUgmja3Tu4M3lHTc3+XepgEaje+H3f1nFr5W/bnWSL4Sid0vzYCplTk6/vw+fF/uiKur90FJGSB1N5Ie0vg8YfMGwz6gC7T2zswAhfCoYoMDP/bAwtVBmLzgJDKzSl/oHtitBhZObgnnSpZQQgZIx3WLWa/jwOtfFrsNkTNAnxzwGPwpzBzd5VbcSUc3y2Ny1V96VW75xRwgIiISG7slKoTUCsPG896A11L3Aq21JTJibxVZtu6wZ3Ft/QH5d2mQ2ah9p+HWSrzpzS1cayAn4Xrh87yMFORlpcPc2VOv7UiDxErdGCRSSw6HwO5IvXDnvw+JpU71Sji0vAfWzumAdoFueq0rdWma805TXNzygjCFLX2Oe4lrS3+0/no09r0ySx6P5y5pEonQTYfkbnrSZBIR2/+BW+v6UGoGSN2UzZ08kfrvneOcGaAcJiYavDW4PoK3vICJwxrAuZKFXmNrvdDJB3/+0B2rZ3cQorBV0gyw83aDracLum78GC8eXwL/4T3k8bnazB8rdAbomwPSa3eHJ3Bs+TxMreyRFXVZfs4cICIiEhuLWwohjbeRn5sH93YNCy9Uw347jPwcXZFlUyNuwrND48LuC9IFbPKlexeGopC6EmhMzeSZjyTxO5fAqU1/aLTmel8Yp5z5Q/5duiBOvfAnrLzFuKinokxNTdC/aw389VMPXNj4PD5/qwle7OwjF6+kG9+7XBwt0aWVpzxm1x9Ln8W1Hf0wYVhDONqX/GZYpOPetYUf2i58E/uHzkHSxYgH3kuNiINnh4DCAac92jcSIhP0yYDM6xcLf8+OCZHH6bGs6i8/ZwYoj7eHHWa/0wyRewbIxe63BtVDm8ausLMxK1zGTGuCejUr4ZVetTB/UgtE/NEfG77qiPZN3RWXAdLxvLb+a9jQbLT8uPjdDlxbux9/v7VI6AzQNwdyEu7Nqpl2+R/oUhNh6V5Lfs4cICIiEhu7JSrIwTHz0ebrMTCfNRyp4bE4OHYBHOsUHQRXupht/ulr8H+9uzxw7I1dJxG25TBEVP3dVQhfMAzXl74BC/daqP7uSmRG/FtkuYR9yxG96iPkpSUh+dgWxG2Zi1ofbZPH0/B5+2dcXzZWHodDGoDWoVlvOLYdUCH/HjKs+r5O8uP+yRR0ugJ5kGhprC41HfetvxwNU3MztJk3+t66by6Ub2CPT/kJLeeMwHP7v4TG1AQ3T16RZ05VUgZE/TxRHptHozWDxkSLaiMXyZNMSJgBymVpoZWL3dLjrvz8Avmh1ZqoKgMeR+QM0CcHpFkVc2/HQWNiChNzK9Sc+CtMbRzk95gDREREYmNxS0Gkm9TtXSf953LS4PG/P/cRlMDKpwH8vvrvQW9dOg6VH8WRClx1Z4tZ3CP9SAUtMzNlFLX0Pe43tX7zke+l3bj5wJg9SsyAWlMefaPODFAXqQXn/a041ZIB9zv75XrFZIA+OVB75t5HvsccICIiEpsyvrakR8rL1cHC0U6eSUkaPP6/+I/oKQ86m3UrFaKSuiLoUhLlmZOkQWGfRNxv83D9m9HQ2t0b04RIacf94/j0boWOK95HZnwyRMEMILVTewZImANERETqoimQ+umQ0cnNyMKqmoMhikEhK2FmbbjBdzN1QNudEMqh7oCVkbeF9Oq0BlE3M+BZxRqRewdW9O6QgjLA0DnADCg7zAFxiJYDvBYQJweIiIiUhi23iIiIiIiIiIhIWCxuERERERERERGRsNgt0UjJs7plZkMUWisLg84+J/1VZuVBKJam0oDlMGrsjiQO0TLA0DnADCg7zAFxiJYDvBYQJweIiIiUhqMCGPOsbgYct0I00oUhx6wgNWMGMAOImAPMASIiIioZdkskIiIiIiIiIiJhsbhFRERERERERETCYnGLiIiIiIiIiIiExeIWEREREREREREJi8UtIiIiIiIiIiISFotbREREREREREQkLBa3iIiIiIiIiIhIWCxuERERERERERGRsFjcIiIiIiIiIiIiYbG4RUREREREREREwmJxi4iIiIiIiIiIhMXiFhERERERERERCYvFLSIiIiIiIiIiEhaLW0REREREREREJCwWt4iIiIiIiIiISFgsbhERERERERERkbBY3CIiIiIiIiIiImFpK3oHqHgFBQXQZWZDFForC2g0GoNtr6AAyMqDUCxNAQP+J1A90Y4BQx8HPAZI7dSeASLmADOAiIiIKgqLW0ZKuqBfVXMwRDEoZCXMrC0Ntj3pYr7tTgjlUHfAikeUao8BQx8HPAZI7dSeASLmADOAiIiIKgq7JRIRERERERERkbBY3CIiIiIiIiIiImGxuEVERERERERERMJicYuIiIiIiIiIiITF4hYREREREREREQmLc9oQKVhubj4uhibh1MVEnLmUiFu3s+XXk1KyMXPZGQT6u8gPV2erit5VIioj8bcy5Qw4dTEB126kFOZAcmoOvttwSc6A+r6OMDczrehdJSIiIiIqFRa3iBToasRtfPPrJfy05QqSUnKKvJ+RlYepi08XPm/d2BWjX/LDC519YGHOG1wi0eXk5mHL/ggsWReMv07GFrtMeqYOI2Ycln+3tzXDq7198cZLfvCrUamc95aIiIiI6MmwuEWkIHGJmXjz86P4dXeYXusdPhMnP975whJfTWiOl7vXhEajKbP9JKKys3FPGMbN/gfRNzNKvE5KWi4Wrr4oP57rUA1LPmwFjyo2ZbqfRERERESGwuKWgri1rIeum6Y/8FpueiZSQmMQsuEggn/YiYK8fChV6oUDuPJRhwdeM7G0gYVHbTi3H4IqPd+ExlS5f/Lr/gjFmM+OIDH5Tpej0rh5KwuDJ/8lF8e+mdIabi7WEInajwGJ2o8DNUtIypIzYP0u/YrbD/vtz+tya6/5k1pgSK9awhW61Z4DzAAiIiJSI17dKFDopkOI3H8a0GhgVbkSavV7Gs2mD4WDryeOTlgGpXNsNxAOgd2BggLkJsUi8cAKRP74LrIig+E95lsoTUFBAaYsOoVPvztnsG1KN7engxOxZ1lX1KkuXhcltR8DajwO1C4sMhWdRvyO0MhUg2xPGo/r1Y8O4uzlRHz5XnPhClwStecAM4CIiIjUhLMlKlDihTCEbjyE0A0HEbR0K3b0+ADpUQmo/XJHWDjbQ+msazwF5/aD4dxhCNz6TkDdOf/AzNkLCXu+R+7teCjNRwsNW9i660ZsOtq/thPXrqdANGo/BtR4HKjZ9Zg0PP2/HQYrbN1v3i9BeGfOMbmILhq15wAzgIiIiNSExS0V0GVmI/70VWhMTGDv7Qq1MbW0gU2dFvK319mxIVCSn3+7is++N3xh667YhEx0H7MLGZk6iEztx4DSjwM1y87JQ8+xu+VidFmZvyoIS9cFQ3RqzwFmABERESkZi1sqYedz50I+OzkNanT3Ql5r6wSliIpLx1tz/tFrnRNreuPGngHyz5K6GpGCDxachOjUfgwo9ThQuxnfnMGFq0llngMTvjqB0EjxWnE+TO05wAwgIiIipVJFcSshIQETJ05ErVq1YGlpiapVq+Ktt95Ceno6XnvtNXkskUWLFkEptFbmsHCyk7tdVKpbDc0/ex3ODWrI31hLA+oqXX52BnQpCXK3i8zwC7j+zRhkhp6BtW8zWHrWhlKMnHkYt1Nz9FpHGiDey9VG74HiF6wOwt+nYyEKtR8DajoO1OzUxQTM/um83uuVJgcysnR4bdrfQnVPVHsOMAOIiIhITRQ/oPzZs2fRrVs3xMbGwsbGBv7+/oiOjsaCBQsQEhKCW7duycsFBARAKRpPHCA/7he+4x8cm/w91CBmzTT5cb9KLfui2sjFUIqTQfHYcfBGuX2edD/7ybdn8cc3XSECtR8DajkO1O7T784iL6/8ik0HTsTg0KlYtGviDhGoPQeYAURERKQmWqW32OrVq5dc2Bo/fjymTZsGOzs7+b05c+Zg0qRJ0Gq1csuthg0bQiku/7Ib4duOwsRMC8e61VB/TB/YuDsjL/teK5+nl74DmGjw18ivCl8zr2SLPgfm4eSMFfIsU6JyeXYEHFv1Q0FeLjIjLiB202zkJERCY2ZZuExq0CFcm9GtyLoFuhwU5OchcHMejNnS9ZfK/TN3HYmSB5evVc34B2JW+zGgluNAzSJj0+VZTcvbkvXBwhS31J4DzAAiIiJSE0V3Sxw3bhwiIyMxduxYzJ07t7CwJZG6KTZq1Ag6nQ4+Pj6wtzf+G/aSSgmNRcyhC4jafwb/LvkN+16dBZeAmmg5e2ThMkcnf4cqTeugep/Wha+1+Ox13Dx+SeiLeYmFuy/sAzrBIbAb3PpORK0PtyHj2glcXzqqcBm7em3ReF3aA496S65Aa+cCj5dnwphJXRFX76yYwYCX/Vr+RbXSUPsxoIbjQO1+2HwZ+fnl30Vw495w3EzMhAjUngPMACIiIlITxRa3goODsW7dOri4uODzzz8vdpnAwED5p1Tkut/evXvRokULeXyuKlWqYNSoUbh9+zZEFX/yMkI2HJQv3is3qSO/lpOchiPjl6L5p6/DytUR3j1awK1VPRydtAxKY+vXCk7thyDp73VICz5S7DL5udkIndUXtv5t4N7vAxizYxduIiu7Yr5NP3BSzHFq1H4MKPE4ULs/T1TMsajTFeDw2TiISO05wAwgIiIiJVNscWvNmjXIz8/HoEGDYGtrW+wyVlZWRYpbf/31F7p27QpPT09s3rwZn376KTZs2IA+ffoINZDuw87N24B8XR4aT+hf+FrUn2cRvu0I2i0ahxazhssX+NlJypxByr3/FMDEFNGrpxb7/vUlo5CfmwWft5bD2J26mFhhn33+yi3k5IrZTUXtx4DSjgM1k1psnQ5OrNCB7EWl9hxgBhAREZFSKba4tX//fvlnhw4dHrmM1GXx4eLWjBkz4Ovri19//VUeiH748OH49ttvceDAAezYsQOiSg2PRdhvh+HRriGqNPcrfP3k9BWwq+4md9uI3HcaSmXpXgtObQcg9fw+eYyR+93ctgC3T25HzclbYGKh3yyCFeF0cMXdWObk5iPoWhJEpPZjQGnHgZqF3EhBanpuhX1+RRbWnpTac4AZQEREREql2AHlIyIi5J/e3t7Fvi+NtXX48OEixa1jx45h2LBhMDG5V/fr0qWL/HPLli3o2bOn3vvSpEkTeVB7fZgVmGAamsGQzs/fKHfHkL6x3vXix/JrusxspEXcRFLwkw1MXNu3NnI1+QbaU0BjbgXXr6/CkNz6fYhbh9bI31jX+fRP+bXU838icsUk+E79HRauPk+0/dq1fVGQU/Zj0cTbDQXMqhf73ok1veHm8uibEjcXq8KfN/Y8OIvYw2ITMtB04NYir3fu1heWulCUNdGOAUMfB2VxDJT1cVBex4DaZWurAvavlyoD9MmBR2XA3gP/wMvrNYiYARKeC5kBREREZJzc3Nxw8uTJUq2r2OJWenq6/DMzs/iLLGk8Lmk2RWmQ+erV7xUKTE1NYW5u/sCyZmZm8oyKQUFBpdoXqbAVFRWl1zrmGlPAVc/PORqE5e4vPvL921ejsMLrXlcMQ4qOiUZOgeG6q0nfGuv5z4ddg/YI/O3RXUetqvo9MPNTdlw4Qr94CV5Dv5DXfVLR0dHIz85AmauRB5gV/5Z0U+vlavOfm9CampRoueIk3koGUvX7ey4N0Y4BQx8HpTkGKvo4KLdjQO1sbAD7J8uAJ8mB3Nx8vc9p5ZUBEp4LmQFERESkPlolV/ySkpJw+vRptGzZ8oH3YmJiMGHCBPn3hg0byoWru2rXri233rrfiRMn5PG2bt26Vep9Kc031jDcl79lzsPdw+DfVpcl6eI75PM+cGjWG1V6jDXINj08PMrlG+sEcxNkP6alxeNILTWkG1pdXj5iEx6/r4/alrOTAyztPVHWRDsGDH0clPUxUBbHQXkdA2qXY+qI+FJmgD458KhtmZlpUMWTGVActZ8LmQFERET0JEpTO1F8catTp07yjImzZ89G586d5aLV3ULVkCFD5FZbkoCAgAfWGzduHF555RV88skn8iyJ0rhco0ePllt03d9VUR+laVaXm5GFVTUHQxRXrl6BmbWlwbaXqQPa7kSZSTqyEZlh55AVdUWeOeph9RZdhHnlanpt88qVq7AqhyNq2JSDWP5b8d1UiutCdD+pC5LUUkO6oa3aeW2pPv+fgztQq9ojmo0YkGjHgKGPg7I+BsriOCivY0Dtom+mw7PT2lJlgCFyoE/3dlg/9053vrKk9gwQ8VzIDCAiIqKKothLkIkTJ2L16tW4ceMG6tWrh7p16yIrKwvXrl2TB4r38fHBrl27HhhvSzJ48GC5++HMmTMxZcoUuag1ZswYuauivX3Z39BXhD9emAa1ce4wRH6IKNDf5ZHFrbLmYGeOmlXtoDRqPAZEPw7UzKOKDdwrWyMmvmK6fwX6O0OJ1JgDzAAiIiJSCsXOlujl5YVDhw6hR48esLS0RHh4OJycnLBs2TJ51sMrV67Iyz1c3JK6KM6aNUtu2XXu3DnExcXhyy+/xNWrV9GqVasK+tcQGceN5VN1nR/oxktEFSPQz7lCC+xERERERMZEsS23JH5+fti+fXuR19PS0uRil9TNsH79+sWuKw00L43HJfnuu+/kgemlWRSJKloT/8rymDn/NWZWWej5dNVy/0wiKqpX+2rYfvBGuX+uo705WjUqzVQHRERERERlR7Ettx5H6nYoDRDv6+sLa2vrIuNjff7553KXRamF1zvvvCOPvSWN3VWzZs0K22eiu8zMTDD8hTrl/rlWlqYY1ufO2HVEVLFe7l4TdjaPmDa1DEkZYM1BlYiIiIjIyKiyuHXhwoViuyRKLCwssG3bNvTr109+HDlyBOvWrZOLXETGYsQLdWFqWr7dAwd0rQFHe4ty/UwiKp6ttRle7e1b7p87ql/dcv9MIiIiIqL/osqvXx9X3GrQoIFc0CIyZl5uNnh3SH18sfzO33JZk1qIfPzGU+XyWURUMh8Ob4TVO0Nw63Z2uXze6P5+8PV2KJfPIiIiIiLSB4tbCuLo741Wc0fBzNYK6ZHxOPjmQjjWropOqz5ASkg0dg+YiazEFNhVd0PLz4fD0sUBGq0pzn31K8K33jiEvs8AAAtxSURBVCno+Y/oibpDn4UuPQtbO0+AscsIO4eIxcORn5kK88re8HnnF2RdD8LVGd1g6VkHvh/vhlmlKkjY+yPits5D1o1geA2bC9febxduIyv6Kq5/Mxq62zdRkKeDe/+pcGrbX34v7rd5iN+5GCZWtvD/+iyMyYwxT2HbX9dxKex2mX/WV+81RzV3W4j6N//U5Jfh3b058rJzka/Lw+lZqxF94Jy8Dek4aDl7BOx83GBiZoorv+zBxe92yO/59G6FgPH9YO3qhNV1X4XIx0DULx8i+cRWaExM5fXc+r4Pp3YDhD4G1M7NxRoL32+JQZMPlPln+XjYYvY7TWGMSpoDdzn4eqLXrjm4snIPjk9dLnwOlDQDwucPRcrZPdA6VJbXs2/UGV7DvpB/ZwYQERGR6FRZ3Nq/fz+UqM3XY3H4ncW4FRSOWgOeQdOpr+Da2j/li/v7C1XSctfW/Ymrq/fBwtkevf6YjZvHLyEj9hYufrsdty6EodmMoRCBdLHuM+4nWNcIkAtYkT+9B5eOw+QL+vsvwq1rBqLGhPWI3fB5sduQ1nHp8jpyb8fj0vgmsPVvA3NnT7g+9w6sazTGjR/uFcOMhaWFFj9/8jTaDduB7Jy8Eq0Tm5DxwM+S6PV0NbzWt7bQf/Nxx4Jxbt4G5GXlyDfC3TbPwPqAEdBlZqPp9KFIvnIDf772BbRWFui+9RPEHb+ExHMhctE34fRV9N47F6IfA67PT4DnkE/l33MSoxA0xg/2AZ2gtXcR9hggYGD3GnKRe+0foSVeR98cMNOaYPkn7eSukCLngET6QqfVF6MQ8fvxB14XOQdKmgF3c+D+L3fu3wYzgIiIiESmyjG3lMipfnXoMrLki3tJyPoDqNqlCUzMi9Yvnep5I3Lfafn37MQUeR2f51pBNBmhZ2BqZStf0EucO7yK28e3okCXU2RZ6+qNYFXVDxqTon/ymeHnYB/YXf7dzKEyrHwaIenvdRBBswaVseHLZ+Sbz5JoOnArqnZeK/8sibZPuWLtnA7QaMp3fC9D/81H7T8jF7YkScHXAY0Gls72d7bjLx0PZ+TfpWJX7D/BqPni01DaMaC1rVT4e35mGlBQgIL8fOGPAbWTjk2p8NSllWeJ19EnB6Sx/VbNao+nm7jDGOmTA5KAd/shfNtRpIbGPLgdQXNAnwx4HGYAERERiU6VLbeUyLZaFTjWrYbee+50MZBI3z5buzkVWTbxfChqvtAO/y75TV6vStM6SLsRD9Fkx4UhM+ICLr5956Jekp+dIbdK0YfUquvWXyvh1ncismNDkXbpCMyr+EAUPZ+uhm0LO+OFd/chPVNnsO12a+OFDV92NNqZ0fT5m7+f74AOSIuIQ1pkfOHxUOP5Nog/dQUWTnbwbN8It0OiocRj4Oa2Bbi5czFyEyPhPfZ7uauSEo4BtbMwN8Vv8zvh5fcPYPO+CINt19LCVC5uP9fBG8ZKnxxwaeyLyoG1sbv/DASMf+mB90TNAf0zYD4S9/4I88rV4DHok8KiGDOAiIiIRGecd61UKvFnrmLPwE8Knw/494dil/t73CI0+fhV+WYgLTIBMYcuoCCvZN3ajI2Nb3P4Tt9V+PzckDtjiejD562fEfnTePnmQBqvxL5hR2hMxTo0nm3thQsb++J/0w7hwIkHWyToy9pSi1lvN8GYAf4wMTG+Flul+Zu/y71NAzQa3w+7+88sfO3E9J/lbkzS8ZCVcBuxR4Ng6eygyGOgSq9x8kMaoyds3mDYB3SB1t5ZEceA2kndlDd+1RHfbbyM8XOPIy0j94m217qxK36a0VaIAeRLkgOmVuZoMet1HHj9y2K3IXIOlDQDPAZ/CjNHd7kFc9LRzfKYXPWXXpVbfjEDiIiISHS8clEIqSWKjadL4XNpYF2ttaU8jlaRZSPjceD1e2OHdF79IaL/ujO4tkgsXGsgJ+F64fO8jBTkZaXLY4Totx0f1Hx/Y+Hzqx93hX3jLhBNdS877Puum3xzO+uHcwiPTtNrfan70XPtvTHn3aaoWfVOlz2l/M1LXFv6o/XXo7HvlVnyWDx3Zd9Kxd9vLy58Lg0qnXz5BpR8DEjddM2dPJH67wE4tnpBMceA2kldFEe8WBfPtvLE+1+fxIa9YdDpCvTaRlU3G0wY2kCeGdHU1EQxOWDn7QZbTxd03fix/Nzc3gYw0cDcwRZ/v7VI2BzQJwPuf82x5fOIWvE+sqIuw6ZWIDOAiIiIhGf8V65UItJ4I/m5eXBv11B+Ls14GPbbYeTnFO2mJs0KJY05JPFo3wgOtb0QuvlviEbqTqExNZNnf5LE71wCpzb9odGa67Wd3OS4wrGHbp/ehcwbF+HU7mWISGppNbJfXVzb0Q87FnfBcx2qwcnB4rHL16tZCVNHNkb47/2xcV5HIQpb+v7Nu7bwQ9uFb2L/0DlIuvhgty0LR1t5kOm74/dU69oUl5b/AaUdA5nXLxb+nh0TIo/VY1nVX3HHAAHeHnZYM6cDru8aIM+q2sDXUS5eP0olO3P0aFcVW+Z3QujOl/Dmy/WEKGzpkwPJl65jbf3XsKHZaPkhzYR4be1+ubAlcg7okwE5CZGFv6dd/ge61ERYuteSnzMDiIiISHRsuaUgB8fMR5uvx8B81nCkhsfi4NgFcKxTrchy0mC7Dcb2QUFePjLikrB30GeFg22Lpvq7qxC+YBiuL30DFu61UP3dlciM+LfIcgn7liN61UfIS0tC8rEtiNsyF7U+2ibPAHX7+DbEbpwFmJjCzMkDvlN3wsTCCiKTbky7t60qPwoKChARnYYzlxKRnJqDXF0+LM1N5SJWQB0n2BjpDGiG/Jtv/eVomJqboc280ffWfXOhfMMrjcPTfOb/kJ+Xh9y0TBwY+RUybyZDacdA1M8T5fF5NFozaEy0qDZykTzJgkSJxwAB7pWtMWVkY/mRkanDuSuJuHY9BZnZedCamshFrYC6TqjuaWeUk0YYOgceR+QcKGkGSDMi5t6Og8bEFCbmVqg58VeY2tzpeskMICIiItGxuKUg0o369q6T/nO5q6v3yQ8lsPJpAL+vTv7nci4dpWnOhxb/XpfX5YdSSTetPp528kOtf/ObWr/5yPekmRQ37X/0+0o5BmpN2f7I95R+DBDkiSFaNnKVH2rNgfud/XK9YnKgpBlQe+beR77HDCAiIiLRidHvgEotL1cHC0c7eZBcS+f/7m7mP6KnPOhu1q1UiErqjqFLSZQHxs1NvvlE24r7bR6ufzMaWrt7Y7qQsv7mH8endyt0XPE+MuPFaMFxF48BUju15wAzgIiIiNRGUyD1WSKjk5uRhVU1B0MUg0JWwsza0mDby9QBbXdCKIe6A1ZsC6naY8DQxwGPAVI7tWeAiDnADCAiIqKKwpZbREREREREREQkLBa3iIiIiIiIiIhIWOyWaKSk/y26zGyIQmtlYdDZtqS/yqw8CMXSVBq8vaL3QjlEOwYMfRzwGCC1U3sGiJgDzAAiIiKqKCxuERERERERERGRsNgtkYiIiIiIiIiIhMXiFhERERERERERCYvFLSIiIiIiIiIiEhaLW0REREREREREJCwWt4iIiIiIiIiISFgsbhERERERERERkbBY3CIiIiIiIiIiImGxuEVERERERERERMJicYuIiIiIiIiIiITF4hYREREREREREQmLxS0iIiIiIiIiIhIWi1tERERERERERCQsFreIiIiIiIiIiEhYLG4REREREREREZGwWNwiIiIiIiIiIiJhsbhFRERERERERETCYnGLiIiIiIiIiIiExeIWEREREREREREJi8UtIiIiIiIiIiISFotbREREREREREQkLBa3iIiIiIiIiIhIWCxuERERERERERGRsFjcIiIiIiIiIiIiYbG4RUREREREREREwmJxi4iIiIiIiIiIIKr/Awi3Qx8wthKFAAAAAElFTkSuQmCC", From 415fa9c53c5418b4d2dd308dcdb4b50da3d763a3 Mon Sep 17 00:00:00 2001 From: ABBY CROSS Date: Thu, 19 Mar 2026 13:23:22 -0400 Subject: [PATCH 05/14] tweaks to code --- docs/tutorials/spin-chain-vqe.ipynb | 35 ++++++++++++++++------------- 1 file changed, 20 insertions(+), 15 deletions(-) diff --git a/docs/tutorials/spin-chain-vqe.ipynb b/docs/tutorials/spin-chain-vqe.ipynb index 8e720d0addf..50e96fee674 100644 --- a/docs/tutorials/spin-chain-vqe.ipynb +++ b/docs/tutorials/spin-chain-vqe.ipynb @@ -117,8 +117,8 @@ "\n", "service = QiskitRuntimeService(\n", " channel=\"ibm_cloud\",\n", - " token= # Replace with your actual API token\n", - " instance = # Replace with your instance name if needed\n", + " token=\"\", # Replace with your actual API token\n", + " instance=\"\", # Replace with your instance name if needed\n", ")\n", "backend = service.least_busy(\n", " operational=True, min_num_qubits=num_spins, simulator=False\n", @@ -233,9 +233,8 @@ "outputs": [], "source": [ "def spsa(\n", - " fun, x0, args=(),\n", - " A = 30, alpha = 0.9, a = 0.3, c = 0.1, gamma = 0.4, maxiter=100\n", - " ):\n", + " fun, x0, args=(), A=30, alpha=0.9, a=0.3, c=0.1, gamma=0.4, maxiter=100\n", + "):\n", " nparams = len(x0)\n", " x = np.copy(x0)\n", "\n", @@ -270,11 +269,13 @@ " cost_history_dict: dict,\n", ") -> float:\n", " \"\"\"Ground state energy evaluation.\"\"\"\n", - " energy = estimator.run([(ansatz, hamiltonian, [params])]).result()[0].data.evs\n", + " energy = (\n", + " estimator.run([(ansatz, hamiltonian, [params])]).result()[0].data.evs\n", + " )\n", "\n", - " cost_history_dict['iters'] += 1\n", - " cost_history_dict['prev_vector'] = list(params)\n", - " cost_history_dict['cost_history'].append(float(energy[0]))\n", + " cost_history_dict[\"iters\"] += 1\n", + " cost_history_dict[\"prev_vector\"] = list(params)\n", + " cost_history_dict[\"cost_history\"].append(float(energy[0]))\n", "\n", " print(\n", " f\"Fx Iters. done: {cost_history_dict['iters']} [Current cost: {round(energy[0], 5)}]\",\n", @@ -289,7 +290,7 @@ " \"prev_vector\": None,\n", " \"iters\": 0,\n", " \"cost_history\": [],\n", - " 'y_min': None,\n", + " \"y_min\": None,\n", " }\n", "\n", " # Evaluate the problem using a QPU via Qiskit IBM Runtime\n", @@ -300,10 +301,12 @@ " cost_func,\n", " x0=x0,\n", " args=(isa_ansatz, isa_observable, estimator, cost_history_dict),\n", - " maxiter=maxiter\n", + " maxiter=maxiter,\n", " )\n", "\n", - " y_min = cost_func(x_opt, isa_ansatz, isa_observable, estimator, cost_history_dict)\n", + " y_min = cost_func(\n", + " x_opt, isa_ansatz, isa_observable, estimator, cost_history_dict\n", + " )\n", "\n", " return y_min, cost_history_dict" ] @@ -344,7 +347,9 @@ ], "source": [ "maxiter = 50\n", - "spsa_min, spsa_history = solve(params, isa_ansatz, isa_observable, maxiter=maxiter)" + "spsa_min, spsa_history = solve(\n", + " params, isa_ansatz, isa_observable, maxiter=maxiter\n", + ")" ] }, { @@ -373,7 +378,7 @@ } ], "source": [ - "print(f'Estimated ground state energy: {spsa_min}')" + "print(f\"Estimated ground state energy: {spsa_min}\")" ] }, { @@ -395,7 +400,7 @@ ], "source": [ "results = {\n", - " 'spsa': spsa_history,\n", + " \"spsa\": spsa_history,\n", "}\n", "\n", "visualize_results(spsa_history)" From 159916fb46d36dfb574883bc3cfdf96b16d14e90 Mon Sep 17 00:00:00 2001 From: ABBY CROSS Date: Fri, 20 Mar 2026 10:11:39 -0400 Subject: [PATCH 06/14] convert output to avif --- docs/tutorials/spin-chain-vqe.ipynb | 13 +++++-------- ...e8d2f10-f1d6-4ec2-bac9-9db23499c9e1-0.avif | Bin 13811 -> 10991 bytes ...0a5f1c8-5c31-4d9f-ae81-37bd67271d44-0.avif | Bin 17004 -> 16820 bytes .../extracted-outputs/ecd7762a-0.avif | Bin 0 -> 4695 bytes 4 files changed, 5 insertions(+), 8 deletions(-) create mode 100644 public/docs/images/tutorials/spin-chain-vqe/extracted-outputs/ecd7762a-0.avif diff --git a/docs/tutorials/spin-chain-vqe.ipynb b/docs/tutorials/spin-chain-vqe.ipynb index 50e96fee674..42d523b2872 100644 --- a/docs/tutorials/spin-chain-vqe.ipynb +++ b/docs/tutorials/spin-chain-vqe.ipynb @@ -101,9 +101,8 @@ "outputs": [ { "data": { - "image/png": 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", "text/plain": [ - "
" + "\"Output" ] }, "execution_count": 8, @@ -164,9 +163,8 @@ "outputs": [ { "data": { - "image/png": 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vbIDHCwqtsDinmJeXt7wCGqqwngt0XLWvtXqfZoxdKyrOKXk8oGG9v6Yrfk5WmQvPbqmkY9nqHBMmHx8v5Z+8tFQ9caecOSpvrpgz+jT3iov2dM+4nFag4+VldJb55ioz3t5FV9d64403lJmZaRboGIU5pQthjP1tYRT9PPHEE+W2G0UxM2fO1IwZMzR27FjZg7Haj1EgVOzss8/Wn3/+WWYfY2UgYyWfqpxcXZW295C+rOIgUJ/aXNRHfR4frz1frVTKHwkV7rNo8SKFtG5W4WOVxWpU8RnVnwHhjeTXIFBpcUXFUqWt/tc7GrNulmIXrta+HzZVG2tVcZS2P1MaUfuCRrW9dVatf3fR4sVq2aDqfayYs7rmrjY5syVXrhIbYEVnLyz6uWHrVmeHAgAA3BhjjuoVFErDvpeScip+3M9bGn/JQE2+t35zyLmnfc7vMvKkC78ruhxHRfx8ffXgxGv0f09fU38vSnva1J51nQ+qr7khW2KlPWv+/qxL+1qh7wA83dw/pTd2SLmVfJ7e0FdatWKpOS6qTxX1t/boa2va37p6n/bUb9KC+Mrbs3VDaX49nB846rOyun5OFrsvTe0u+sym12rWJFDP3d1HF97ynabf1lNTx3XV0+/8bnOsixctUnSrEJfPmcEqeXOlnNGnOe6cwN7nAwbaUx75WbFDC3SMy0MZK+ZMnz5d119/vZYsWaInn3xSkZGRZYpzjKKXW2+9Vffff3+1zxkYGKioqKgKH9uxY4cefPBB3XnnndU+T1JSkuLj4xUbW1RVtW3bNqWkpJgr5QQHB5vbjOe6+OKLzdcz9n/99dd1+PDhMqv8GK917rnn6rnnntOoUaPM/+PXX39tXtrLquK/XWve7CFh2a+KGtTDXLJt7/fryj3e8txuZkfT+NQo81qMhfmVzG55EHIGAAAAAO7F20u6OkaavaNoyf+KCnhGV/29nnrHuWftGR8gXtJa+m98+fY0vmrm7yMNq3iqym5oT/dCewJwRyPaSG/sND4AKv+Yr5c0JrqoaNlR6GvrZkw7aV5cxY/5eEnXxMil2PNzspO9/lA/vfrJNm3/K0WT/71KGz8dqflL47QzNlWuxJE5c5e88XksbEV7ujcHDndkXtrq1Vdf1ezZs9WjRw+tX79eV155pbl6Tmm33XabecmqSZOqr1bs27dvpcUvRhHQfffdZ1Nsxgo2RkxGUY3BKMQpjrHY/v37ddVVV6ljx44aPny4EhMTtXTpUp1yyikl+/Tr10+ffPKJ3nnnHXXt2lWzZs3Sl19+aV4OyxMd/W23ef27igQ2DVXvh6/ToqumK33vYXWZNNLh8VkROQMAAAAA93NtjHRui6ICDuNDC4OfV9G//91LinTwKg2ce9bNXZ2lzo3LTqwZ7WkU58w4q6iIx5FoT/dCewJwR00CpOfOLCrCKS7EMX4Yw6Izm0o3n+rYeOhr66Z9I+mRM4razxgDlTY8yvHF567i8qHt1DYyWM/N3WzeP3g0Sw+8sl7vTBsgGy8q4pHIW/Xo09wL7eneHFqgY7jlllt04MABc3Ua4/JWe/bsKVOgY6xAY6yKU9Elq+xp3Lhx5so9J9/OO++8kn3mzp1rrrKTnZ1t/h+MlXGMVYFOdtlll5mr9xirBf32228aMWKEPJmRx/zs8ut49336Ju2Y851S/0jQmgfe1mk3XKTQ9i3r9bVzju5X3Ks3KXbmBOUmHdCRpXMV+/I4paz92ty++5kxyorfqszdG7XtrjMqfI70bSs8KmcAAAAAgPrn6y0901t6/Wzpoiipf3PpuvbSfy+QBjvptI5zz9oL8pXe7C8916fogynjdnMn6evBUs8Ti0Q7FO1Z8/mgk+8bKpsjcvT8EO0JwB0Z458Fg6XxHYr+baw493LfoptR5Opo9LV1c0kbaf4F0lWnnBgPvX1OUeGOsYIkyvvs+z0686oFys8/sZTU+wt2qf/YhSqs5HJhIG+2ok+z7ZygMD9PeceOaMst7ZV9MNay5wS0p/ty8Pd5ytuyZYuuuOIK89/G5aBee+019e/fv6QwZuHChSWXmILU+NTW6n73ZUr9c582vfCZvP19ddH86drwxAdKXFXUafR5fJxyUjPNxwfNuVe7v1iuuP+tLnmO/jMma8Vdr5X8DG7TTP1fmqwVd76q9ITD9R6zce27wxv+LLMtekQ/BUdF6KdbXjTvZx1O0YYnP1S/Fybp20sfNnqdennto0veUeRVj5nPd2TJO/ILj1L4oHEK6XqeGve5RJl7ftOxX79X85H3qEG7igt0jv22RMGn9y+3PXnVfO3/6GEFtIhR7tEEdXpujbx8fF0+Z1VJ3fCtUtb8V7kpiQps1UlRY58ut8/Br16Qb2gzpW9drryMFLW86jEFtels1wPsgY8fNQ9UAZExyt63U21ve1tHFr2tw4veVMz98xTQPFqJ855TduIu5WelKfq2t3U8YYdiZ96g02fYdm1GAAAAAKgr49udZ0YU3azAqueetnD0uWdFjNWPBrYoKr4yGB82OpOrtac927Am80Gl7xuv3yCmZ4VzRI6eH7Jie1pxXqiquaGD/31Rx/ftVGHOcUXf/R8zNuaGAOeLCHT8ajmu1Ne60ljIENVQuqOz9PGeovtnOKlQOerCXmoz9Ez5N2qoTc9/qr5P3aSVU2YpLTbRfNxo0/ZXnK/EX7YquHWEdn32o9oMP0vtxwzUsvHPyhO1GtTDzFlQs8bKP55r/iRnrv135mp9mr37scrOCYyx+sEFM9S4b9FVdYzzASueE7haezpTTiXnA3GvTpCXX6B8GoYqauwzOrJkjjJ2rlJeerLa3DxTBdmZ5vlA9B1zzc+SPaJAJyMjQ3FxcSUr6AwePFh5eXnODMnyUnbuNYtxjA7ecNqNwxVf6tpzkQO66thfiQoMb2Tez0nNMItzfAL91e+FW5W+95AaRIablXRNOkebxT6/vfSFebCwl33Lfi23LXbBL+attN2f/2Te6lPO0QQd+HR6yX2j8y1WWFCgw9/OUuQVj1T4u1mxm3Xom9eUuWu9cpMT5d+srSIve6Dkcf+INmo2/DYFRLZXXuqheivOcXbOqhLa6yLztv+TaQrrO7rCA05u8gE1v3SKws+/rszBzF5KH2CPLptbcnCNuGiiOWFUrMXoqebPg1+/bE7AVHZwBQAAAABPYdVzz5NZ4dzTFVi9PU9ux5Cu59utDWsyH2TV+SErtqcV54WqmhtqMfpe8/GEufeak+/MDQFwhb62Ilbpb60sYfEG8xZ2elu1PP8M8zMvo2iiRb/OihkzULlpmeYX2yN6dVBEr47KTklX/Ddr1GZI+atkeNLfv3Hrfs8YxX2zRtEX9yVnLv53ZvU+zZHnA1WdExhF58Gd+injz7Ulj1nxnMDq7WlI2/qzkn76ULlJ+xR55WNq2L6XU+I4Wsn5gJd/kLnNt1HRt6SaDh5v3owvHaTv+EVhZ49WSJcTV1PyiAKdhg0bqqCgwJkhuLSw09oq51imCnOLipp8gvzV8tzu2vne9yUFPMVanttN8d+uVdzCVRr8wYNK3bVfSVtjzeIcd+YfHqWmwyYaPauOLHqrZLtRQZfw7hQ1HXKT/MMrXvYrKLqr2k6arf0fP2ZWbZ4sK26zuU/GztUKOeNCeQojd8aBqOWVj6ogL6fMAacgN1vegcE2HczscYA1Ot0Oj35X6b55x44qa89vanbx7XaNCQAAAABQO8bE7P4P/lVy37dxc0VcNMnp556ou9KT1rkpB5V94E+7taGt80HMD7n+vFBVc0P5xzMUP3uSuYKOtzE5z9wQABfAWKgOvLzUaexQ7fr8J7Ua2N3c1P7y88wVTsK7nqKoC3qaq1FkHUrR3kXrnR2tZYSd1ka7P/ux5D45qwZ/Zy5xPlDVOYFRmFGQlWaO3wsL8tXy6sc5J6ilkM4DzFvmX78qc9cG5RyOt9vVZ2pzPtBm4uvy8vJSwpypOn5glwIj26sgO0spq+er9S2vyWMvcYXaa3FOZ4W0baHQDq10/HCKWewUFBFqVrs27hilPz5cUmb/gr8LefJzcktOqN1d+OAbtP/Dh8zquMgrH9WxTYvN7YcWvlLUAedkKffIXjXue2mNn/t4/BaF9R1lVlrmpyfLU6Rv+Ukhnc+t8ICTtvkHs9LQlgkuexxg/Zue+EbcyYzlyva+e49a3/iSvLz/Xn8cAAAAAGApDdp1V/uHF5bZdmTpXKefe6LuSs8hePn42bUNbZ0Pyj4cx/yQi88LVTU35BPYUO3ues+87LnxoYGx3D1zQwCsjrFQ7Z352Fjzc7HspLSSbQV5+SrMLyj1uRiLBpTW4uzOOrh6e5lt5Kxq/J25xvlAVecEra4pKuQwim2MlVb4zLhuDn//plkA1e7u/5gF8va6+kxtzgeM4hyDb6OmKjieYRa4xr95u7naj3Gu4CwU6LiYBpFN1OOBqxUa01KbX/1K29/+xqzMTN97WIfWbDdvxdc4zExMKvm9/ct/Nw8aIW2bKyC0qLI6L+O4ej5wtTY+9ZHclX94K7Wd9Ea57c0vudO82aKiSkhD1PjnzZ+trn1CniRp+Udqdd2TFR5wMnb8opZXTauXg1ltDrD+EW1Ltiev/Fyp6xYqe/+fajX2Ge19s+ibUfv+86Ca/eMOBbU53W4xAQAAAADqjxXOPVG/7Zi+faUiLrrVbm1Yk/kg5odce16oqrmhhPfuV0F2hnl5q2aX3KE9z11pbmduCICrsUp/a2WnTRiuZr1PlW+gv1J37SvZ/te8n9XrX9eax4j87Fwd++uATptwsXLSs8xLD3m6dqP7m58R+jUILNlGzirH35nrnA9UdU5w8viez4zrJmLozWrcd5QOfDJNDdr3dspKQuGVnQ/MmWqeDxirNAVFd1PCO/co51CsEr98Wk0GXmOu/uMMFOi4mMwDSfp58stltu0qtfScIT3hsDa98FmZbfnHc7T6/qLlu7a9WVR9veahd+Vp/MJaKGXNVwo+vX+Zqr3M3RtVkHPcqbG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", "text/plain": [ - "
" + "\"Output" ] }, "execution_count": 5, @@ -256,7 +254,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "id": "32ca3b6a", "metadata": {}, "outputs": [], @@ -295,7 +293,7 @@ "\n", " # Evaluate the problem using a QPU via Qiskit IBM Runtime\n", " with Session(backend=backend) as session:\n", - " estimator = EstimatorV2()\n", + " estimator = EstimatorV2(mode=session)\n", " estimator.skip_transpilation = True\n", " x_opt = spsa(\n", " cost_func,\n", @@ -389,9 +387,8 @@ "outputs": [ { "data": { - "image/png": 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z0NP_}NFvFdAKN(<;Ge!ZVX>ws*!Gt4RNF^kKzj7z>EJXS`1=gP7y40zrOY_ zFYZ0#^g&9rIbW3ADR&YU06wqs&&?w#(z}5PiU6 zOXza3k7H+#Ki^`5OfP(ttLE~^o+?9b`J^l5<_&ZG5J?-Bvg2*Pvee$ApZ7%q$dk#S zCw4++7doKFUB2I5N-s$7+MF- zF44Z7m6ILUc~-u@>6C^Ce-PdO?V#JP?MGZ)Eu^H2ly^{$9Xkx`gA1WCa;3*pJkk~> z#vG?Q{i=A(T(G+{%>TRSYPT=ug3DJA!Fm4dlT7#A8$)(%w6nj6)9S1N8a{KBl{Mp_Y(69 zf&2Ft;$D!DAcpYBHPU{O^gqe!#-FFF2LIYG@LTSaJJpT(W=~2O&Qum3keJ#$m3j8z I7RVU=Kh7JXwEzGB literal 0 HcmV?d00001 From 2bbe315d94291c8c36b78e7967de30979db5e028 Mon Sep 17 00:00:00 2001 From: ABBY CROSS Date: Fri, 20 Mar 2026 10:12:32 -0400 Subject: [PATCH 07/14] hyphen --- docs/tutorials/index.mdx | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/tutorials/index.mdx b/docs/tutorials/index.mdx index 6c07939ff14..b43bc5297fb 100644 --- a/docs/tutorials/index.mdx +++ b/docs/tutorials/index.mdx @@ -49,7 +49,7 @@ These tutorials focus on estimating physically meaningful quantities, such as en * [Nishimori phase transition](/docs/tutorials/nishimori-phase-transition) -* [Ground state energy estimation of the Heisenberg chain with VQE](/docs/tutorials/spin-chain-vqe) +* [Ground-state energy estimation of the Heisenberg chain with VQE](/docs/tutorials/spin-chain-vqe) * [Quantum kernel training](/docs/tutorials/quantum-kernel-training) From c65342700922f3689e4d51bd641cbf23da41b332 Mon Sep 17 00:00:00 2001 From: ABBY CROSS Date: Fri, 20 Mar 2026 10:13:48 -0400 Subject: [PATCH 08/14] punctuation --- docs/tutorials/spin-chain-vqe.ipynb | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/tutorials/spin-chain-vqe.ipynb b/docs/tutorials/spin-chain-vqe.ipynb index 42d523b2872..29861aac77c 100644 --- a/docs/tutorials/spin-chain-vqe.ipynb +++ b/docs/tutorials/spin-chain-vqe.ipynb @@ -413,7 +413,7 @@ "[1] Spall, J. C. (2002). Implementation of the simultaneous perturbation algorithm for stochastic optimization.\n", "IEEE Transactions on Aerospace and Electronic Systems, 34(3), 817-823.\n", "\n", - "[2] Sahin, M. Emre, et al (2025). Qiskit Machine Learning: an open-source library for quantum machine learning tasks at scale on quantum hardware and classical simulators. arXiv:2505.17756." + "[2] Sahin, M. Emre, et al. (2025). Qiskit Machine Learning: an open-source library for quantum machine learning tasks at scale on quantum hardware and classical simulators. arXiv:2505.17756." ] }, { From ae4f8788ccb1c88111065a2a7a1a3a5086559362 Mon Sep 17 00:00:00 2001 From: ABBY CROSS Date: Fri, 20 Mar 2026 10:17:28 -0400 Subject: [PATCH 09/14] cspell ignore --- docs/tutorials/spin-chain-vqe.ipynb | 2 ++ scripts/config/cspell/dictionaries/people.txt | 2 ++ 2 files changed, 4 insertions(+) diff --git a/docs/tutorials/spin-chain-vqe.ipynb b/docs/tutorials/spin-chain-vqe.ipynb index 29861aac77c..e2e668d043d 100644 --- a/docs/tutorials/spin-chain-vqe.ipynb +++ b/docs/tutorials/spin-chain-vqe.ipynb @@ -12,6 +12,8 @@ "description: Build, deploy, and run a Qiskit pattern for simulating a Heisenberg chain and estimating its ground state energy.\n", "---\n", "\n", + "{/* cspell:ignore hyperparameters, forall, nabla, nparams */}\n", + "\n", "# Ground-state energy estimation of the Heisenberg chain with VQE\n", "\n", "*Usage estimate: 37 minutes on a Heron processor (NOTE: This is an estimate only. Your runtime might vary.)*" diff --git a/scripts/config/cspell/dictionaries/people.txt b/scripts/config/cspell/dictionaries/people.txt index aaa3cb6be50..fca471ed3cc 100644 --- a/scripts/config/cspell/dictionaries/people.txt +++ b/scripts/config/cspell/dictionaries/people.txt @@ -62,6 +62,7 @@ Easwar Edmonds Eidenbenz Eisert +Emre Epperly Fangchun Fock @@ -189,6 +190,7 @@ Rossmannek Ruchir Rueschlikon Saha +Sahin Saleem Sangle Sanjay From 51a8d8b8550d26ebf0d43f61a1af86af03861e18 Mon Sep 17 00:00:00 2001 From: ABBY CROSS Date: Fri, 20 Mar 2026 10:34:10 -0400 Subject: [PATCH 10/14] some copyediting --- docs/tutorials/spin-chain-vqe.ipynb | 20 ++++++++++---------- 1 file changed, 10 insertions(+), 10 deletions(-) diff --git a/docs/tutorials/spin-chain-vqe.ipynb b/docs/tutorials/spin-chain-vqe.ipynb index e2e668d043d..bb29f09b89d 100644 --- a/docs/tutorials/spin-chain-vqe.ipynb +++ b/docs/tutorials/spin-chain-vqe.ipynb @@ -9,7 +9,7 @@ "source": [ "---\n", "title: Ground-state energy estimation of the Heisenberg chain with VQE\n", - "description: Build, deploy, and run a Qiskit pattern for simulating a Heisenberg chain and estimating its ground state energy.\n", + "description: Build, deploy, and run a Qiskit pattern for simulating a Heisenberg chain and estimating its ground-state energy.\n", "---\n", "\n", "{/* cspell:ignore hyperparameters, forall, nabla, nparams */}\n", @@ -26,7 +26,7 @@ "source": [ "## Background\n", "\n", - "This tutorial shows how to build, deploy, and run a development workflow called a [Qiskit pattern](/docs/guides/intro-to-patterns) for simulating a Heisenberg chain and estimating its ground state energy using the SPSA optimizer." + "This tutorial shows how to build, deploy, and run a development workflow called a [Qiskit pattern](/docs/guides/intro-to-patterns) for simulating a Heisenberg chain and estimating its ground-state energy using the SPSA optimizer." ] }, { @@ -92,7 +92,7 @@ "* Input: Number of spins\n", "* Output: Ansatz and Hamiltonian modeling the Heisenberg chain\n", "\n", - "Construct an ansatz and Hamiltonian that model a 10-spin Heisenberg chain. First, we import some generic packages and create a couple of helper functions." + "Construct an ansatz and Hamiltonian that model a 10-spin Heisenberg chain. First, we import some generic packages and create some helper functions." ] }, { @@ -202,11 +202,11 @@ "* Input: Target circuit and observable\n", "* Output: Results of optimization\n", "\n", - "Minimize the estimated ground state energy of the system by optimizing the circuit parameters. Use the `Estimator` primitive from Qiskit Runtime to evaluate the cost function during optimization.\n", + "Minimize the estimated ground-state energy of the system by optimizing the circuit parameters. Use the `Estimator` primitive from Qiskit Runtime to evaluate the cost function during optimization.\n", "\n", - "Since we optimized the circuit for the backend in Step 2, we can avoid doing transpilation on the Runtime server by setting `skip_transpilation=True` and passing the optimized circuit. For this demo, we will run on a QPU using `qiskit-ibm-runtime` primitives. To run with `qiskit` statevector-based primitives, replace the block of code using Qiskit IBM Runtime primitives with the commented block.\n", + "Since we optimized the circuit for the backend in Step 2, we can avoid doing transpilation on the Runtime server by setting `skip_transpilation=True` and passing the optimized circuit. For this demo, we will run on a QPU using `qiskit-ibm-runtime` primitives. To run with `qiskit` statevector-based primitives, replace the block of code using Qiskit Runtime primitives with the commented block.\n", "\n", - "In this tutorial we use SPSA, which is a gradient based optimizer. Next we give a brief introduction to it, and provide the code to implement SPSA using Qiskit 2.0." + "In this tutorial we use Simultaneous Perturbation Stochastic Approximation (SPSA), which is a gradient-based optimizer. Next we give a brief introduction to it, and provide the code to implement SPSA using Qiskit v2.0." ] }, { @@ -216,13 +216,13 @@ "source": [ "### Introducing SPSA\n", "\n", - "Simultaneous Perturbation Stochastic Approximation (SPSA) [1] is an optimization algorithm that approximates the entire gradient vector using 2 function calls only at each iteration. Let $f:\\mathbb{R}^p\\rightarrow \\mathbb{R}$ be the cost function with $p$ parameters to be optimized, and $x_i\\in \\mathbb{R}^p$ be the parameter vector at the $i$-th step of iteration. To compute the gradient, a random vector $\\Delta_i$ of size $p$ is created, where each element $\\Delta_{ij}$, $\\forall$ $j\\in \\{1,2,...,p\\}$, is uniformly sampled from $\\{-1, 1\\}$. Next, each element of the random vector $\\Delta_i$ is multiplied with a small value $c_i$ to create a random perturbation. The gradient is then estimated as\n", + "Simultaneous Perturbation Stochastic Approximation (SPSA) [\\[1\\]](#references) is an optimization algorithm that approximates the entire gradient vector using only two function calls at each iteration. Let $f:\\mathbb{R}^p\\rightarrow \\mathbb{R}$ be the cost function with $p$ parameters to be optimized, and $x_i\\in \\mathbb{R}^p$ be the parameter vector at the $i^{th}$ step of the iteration. To compute the gradient, a random vector $\\Delta_i$ of size $p$ is created, where each element $\\Delta_{ij}$, $\\forall$ $j\\in \\{1,2,...,p\\}$, is uniformly sampled from $\\{-1, 1\\}$. Next, each element of the random vector $\\Delta_i$ is multiplied with a small value $c_i$ to create a random perturbation. The gradient is then estimated as\n", "\n", "$$[\\nabla f(x_i)]_j \\approx \\frac{f(x_i + c_i \\Delta_i) - f(x_i - c_i \\Delta_i)}{2c_i\\Delta_{ij}}.$$\n", "\n", - "Intuitively, since a random perturbation is applied during the gradient estimation, it is expectation that small deviations in the exact values of $f$ coming from noise can be tolerated and accounted for. In fact, SPSA is particularly known to be robust against noise, and requires only two hardware calls for each iteration. It is, therefore, one of the highly preferred optimizers for implementing variational algorithms.\n", + "Intuitively, since a random perturbation is applied during the gradient estimation, it is expected that small deviations in the exact values of $f$ coming from noise can be tolerated and accounted for. In fact, SPSA is particularly known to be robust against noise, and requires only two hardware calls for each iteration. It is, therefore, one of the highly preferred optimizers for implementing variational algorithms.\n", "\n", - "In this tutorial, the hyperparameters for the $i$-th iteration, $a_i$ and $c_i$, are computed as $a_i = a/(A + i + 1)^\\alpha$ and $c_i = c / (i+1)^\\gamma$, where the constant values are taken as $A = 30$, $\\alpha = 0.9$, $a = 0.3$, $c = 0.1$, and $\\gamma = 0.4$. These values are selected from [2]. Appropriate tuning of hyperparameters is necessary for extracting a good performance out of SPSA." + "In this tutorial, the hyperparameters for the $i^{th}$ iteration, $a_i$ and $c_i$, are computed as $a_i = a/(A + i + 1)^\\alpha$ and $c_i = c / (i+1)^\\gamma$, where the constant values are taken as $A = 30$, $\\alpha = 0.9$, $a = 0.3$, $c = 0.1$, and $\\gamma = 0.4$. These values are selected from [\\[2\\]](#references). Appropriate tuning of hyperparameters is necessary for extracting a good performance out of SPSA." ] }, { @@ -360,7 +360,7 @@ "## Step 4: Post-process and return result in desired classical format\n", "\n", "* Input: Ground state energy estimates during optimization\n", - "* Output: Estimated ground state energy" + "* Output: Estimated ground-state energy" ] }, { From 866fca5f5eab95fdece15599ca5b4a2db41ebe4a Mon Sep 17 00:00:00 2001 From: ABBY CROSS Date: Fri, 20 Mar 2026 10:35:47 -0400 Subject: [PATCH 11/14] a bit more copyediting --- docs/tutorials/spin-chain-vqe.ipynb | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/docs/tutorials/spin-chain-vqe.ipynb b/docs/tutorials/spin-chain-vqe.ipynb index bb29f09b89d..bcfd809f570 100644 --- a/docs/tutorials/spin-chain-vqe.ipynb +++ b/docs/tutorials/spin-chain-vqe.ipynb @@ -328,7 +328,7 @@ "id": "3bf42923", "metadata": {}, "source": [ - "Here we set the `maxiter = 50`. Note that since each iteration requires two calls to the function to compute gradient, the total number of function calls will be $2 \\times \\text{maxiter}$. The `maxiter` can be increased to any higher value for better energy estimation." + "Here we set the `maxiter = 50`. Note that since each iteration requires two calls to the function to compute the gradient, the total number of function calls will be $2 \\times \\text{maxiter}$. The `maxiter` can be increased to any higher value for better energy estimation." ] }, { @@ -359,7 +359,7 @@ "source": [ "## Step 4: Post-process and return result in desired classical format\n", "\n", - "* Input: Ground state energy estimates during optimization\n", + "* Input: Ground-state energy estimates during optimization\n", "* Output: Estimated ground-state energy" ] }, From c3e78d0a693fd361e22d6707573bb0b705477ab2 Mon Sep 17 00:00:00 2001 From: ABBY CROSS Date: Fri, 20 Mar 2026 10:36:16 -0400 Subject: [PATCH 12/14] no longer using survey, don't need tm statement --- docs/tutorials/spin-chain-vqe.ipynb | 20 -------------------- 1 file changed, 20 deletions(-) diff --git a/docs/tutorials/spin-chain-vqe.ipynb b/docs/tutorials/spin-chain-vqe.ipynb index bcfd809f570..8ca904956f4 100644 --- a/docs/tutorials/spin-chain-vqe.ipynb +++ b/docs/tutorials/spin-chain-vqe.ipynb @@ -417,26 +417,6 @@ "\n", "[2] Sahin, M. Emre, et al. (2025). Qiskit Machine Learning: an open-source library for quantum machine learning tasks at scale on quantum hardware and classical simulators. arXiv:2505.17756." ] - }, - { - "cell_type": "markdown", - "id": "c14b0e0a", - "metadata": {}, - "source": [ - "## Tutorial survey\n", - "\n", - "Please take this short survey to provide feedback on this tutorial. Your insights will help us improve our content offerings and user experience.\n", - "\n", - "[Link to survey](https://your.feedback.ibm.com/jfe/form/SV_bfuBwfNeeFBxnim)" - ] - }, - { - "cell_type": "markdown", - "id": "a1b8767d", - "metadata": {}, - "source": [ - "© IBM Corp., 2017-2025" - ] } ], "metadata": { From 300c799ba6c9ed3451d6c39eec3fdc20a1b8720c Mon Sep 17 00:00:00 2001 From: ABBY CROSS Date: Fri, 20 Mar 2026 10:38:39 -0400 Subject: [PATCH 13/14] add block for recs on what to do next --- docs/tutorials/spin-chain-vqe.ipynb | 12 ++++++++++++ 1 file changed, 12 insertions(+) diff --git a/docs/tutorials/spin-chain-vqe.ipynb b/docs/tutorials/spin-chain-vqe.ipynb index 8ca904956f4..057832d7c12 100644 --- a/docs/tutorials/spin-chain-vqe.ipynb +++ b/docs/tutorials/spin-chain-vqe.ipynb @@ -417,6 +417,18 @@ "\n", "[2] Sahin, M. Emre, et al. (2025). Qiskit Machine Learning: an open-source library for quantum machine learning tasks at scale on quantum hardware and classical simulators. arXiv:2505.17756." ] + }, + { + "cell_type": "markdown", + "id": "8f14492c", + "metadata": {}, + "source": [ + "## Next steps\n", + "\n", + "\n", + "\n", + "" + ] } ], "metadata": { From caa6dfe31abddddbf02270cc0d628e536e7349b6 Mon Sep 17 00:00:00 2001 From: ABBY CROSS Date: Fri, 20 Mar 2026 10:39:54 -0400 Subject: [PATCH 14/14] add text --- docs/tutorials/spin-chain-vqe.ipynb | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/tutorials/spin-chain-vqe.ipynb b/docs/tutorials/spin-chain-vqe.ipynb index 057832d7c12..cee53edd4c3 100644 --- a/docs/tutorials/spin-chain-vqe.ipynb +++ b/docs/tutorials/spin-chain-vqe.ipynb @@ -426,7 +426,7 @@ "## Next steps\n", "\n", "\n", - "\n", + "If you found this work interesting, you might be interested in the following material:\n", "" ] }