diff --git a/binder-index.md b/binder-index.md index a851276f87f1..c152e37daffb 100644 --- a/binder-index.md +++ b/binder-index.md @@ -272,6 +272,14 @@ These are noted in the README.md files for each sample, along with complete inst + + + Quantum Approximate Optimization Algorithm + + Python + + + Grover's search diff --git a/samples/azure-quantum/qaoa/README.md b/samples/azure-quantum/qaoa/README.md new file mode 100644 index 000000000000..005610d00bdd --- /dev/null +++ b/samples/azure-quantum/qaoa/README.md @@ -0,0 +1,25 @@ +--- +page_type: sample +author: KilianPoirier +description: Introduction to QAOA using the OpenQAOA library. +ms.author: +ms.date: +languages: +- python +products: +- azure-quantum +--- + +# Solving Quadratic Unconstrained Binary Optimization (QUBO) problems using QAOA on Azure Quantum + +This sample shows how to solve quadratic unconstrained binary optimization problems using the Quantum Approximate Optimization Algorithm (QAOA) on the Azure Quantum service. It demonstrates how to operate the QAOA workflow with a readily available problem instance (Maximum Cut) as well as a general QUBO problem that can be taylored to other combinatorial problems like graph coloring or minimum vertex cover. + +## Manifest + +- [openqaoa.ipynb](./openqaoa.ipynb) Python notebook demonstrating how to run QAOA locally and on the Azure Quantum platform using the OpenQAOA package. +- [openqaoa-recursive.ipynb](./openqaoa-recursive.ipynb) Python notebook demonstrating how to run RQAOA locally and on the Azure Quantum platform using the OpenQAOA package. + +## See Also + +To learn more about QAOA and how to solve QUBO problems using OpenQAOA, visit https://openqaoa.entropicalabs.com/ +This sample code and notebooks were written by members of Entropica Labs team. \ No newline at end of file diff --git a/samples/azure-quantum/qaoa/openqaoa-recursive.ipynb b/samples/azure-quantum/qaoa/openqaoa-recursive.ipynb new file mode 100644 index 000000000000..bf95f81b2dff --- /dev/null +++ b/samples/azure-quantum/qaoa/openqaoa-recursive.ipynb @@ -0,0 +1,746 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "536532e3-e7d1-4dd3-89bd-e42364e0f0a3", + "metadata": {}, + "source": [ + "# Recursive Quantum Approximate Optimization Algorithm" + ] + }, + { + "cell_type": "markdown", + "id": "c23791bb-879b-4ae1-85ca-b4ddf0678df2", + "metadata": {}, + "source": [ + "In this notebook, we provide a short introduction to recursive QAOA, and demonstrate how this technique is implemented in the OpenQAOA workflows by solving a fully-connected Hamiltonian with $\\pm 1$ weights." + ] + }, + { + "cell_type": "markdown", + "id": "21db9274-9f0d-4056-91ac-d6675af70d22", + "metadata": { + "tags": [] + }, + "source": [ + "### A brief introduction to RQAOA" + ] + }, + { + "cell_type": "markdown", + "id": "5e32b853-04df-4f17-b494-c8c6a6ff8a19", + "metadata": {}, + "source": [ + "Recursive QAOA (RQAOA) is an iterative variant of QAOA, first introduced by Bravyi et al. in [1] and further explored in [2,3]. \n", + "\n", + "This technique consists in recursively reducing the size of the problem by running QAOA. At each step, the QAOA output distribution is used to compute the expectation values \n", + "\n", + "$$\n", + "\\mathcal{M}_{i} = \\langle Z_{i} \\rangle \\qquad \\qquad \\qquad \\qquad \\qquad \\mathcal{M}_{ij} = \\langle Z_{i}Z_{j} \\rangle,\n", + "$$\n", + "\n", + "associated with the terms present in the Hamiltonian. Note that, by definition, these quantities are bounded between -1 and 1. The expectation values are then ranked according to their magnitude $|\\mathcal{M}_{(i),(ij)}|$, where we use $\\mathcal{M}_{(i),(ij)}$ to generically refer to both single- and two-spin expectation values. In its original formulation, the highest ranked value is selected. This value is then utilized to eliminate a qubit from the Hamiltonian, by imposing a constraint on the respective qubits, according to the nature of the highest ranked expectation value. The two kinds of constraints are\n", + "\n", + "$$\n", + "Z_{i} \\mapsto \\textrm{sign}(\\mathcal{M}_{(i)}) \\qquad \\qquad \\textrm{and} \\qquad \\qquad Z_{i} \\mapsto \\textrm{sign}(\\mathcal{M}_{(ij)}) Z_{j},\n", + "$$\n", + "\n", + "where the expectation value is rounded via the `sign` operation for consistency. The first one can be interpreted as fixing qubit $i$ to a specific state, $| 0 \\rangle$ if $\\textrm{sign}(\\mathcal{M}_{(i)}) > 0$ and $|1 \\rangle$ if $\\textrm{sign}(\\mathcal{M}_{(i)}) < 0$, and the second one as fixing qubit $i$ with respect to the configuration of $j$, i.e. $i$ and $j$ will be aligned if $\\textrm{sign}(\\mathcal{M}_{(ij)})> 0$ and antialigned otherwise. Inserting the correponding constraint directly into the Hamiltonian, we reduce the size of the problem by one qubit. Using the reduced Hamiltonian, QAOA is then run again and the same procedure is followed. Once the reduced problem reaches a predefined cutoff size $n_{\\textrm{cutoff}}$, it is solved exactly via classical methods. The final answer is then reconstructed by re-inserting the eliminated qubits into the classical solution following the appropriate order.\n", + "\n", + "In summary, the process is:\n", + "\n", + "1. Execute QAOA\n", + "2. Compute expectation values $\\mathcal{M}_{(i),(ij)}$ of terms present in the Hamiltonian\n", + "3. Rank expectation values according to their magnitude $|\\mathcal{M}_{(i),(ij)}|$\n", + "4. Select the expectation value with highest magnitude\n", + "5. Eliminate variable by imposing the appropriate constraint and obtain reduced problem\n", + "6. If new problem size is smaller than $n_{\\textrm{cutoff}}$, obtain final solution classically and reinsert constraints, else, return to step 1 using the reducedproblem\n", + "\n", + "This version of RQAOA is included in OpenQAOA. Additionally, OpenQAOA incorporates RQAOA from two different generalized version of these procedure, which enable multiple qubit eliminations during the recursive process, modifying steps 4 and 5 above. These strategies are denoted as `custom` and `adaptive` [4], in accordance with the precise concept under which the elimination method takes place. In a nutshell, they are described as follows:\n", + "\n", + "\n", + "* The ``custom`` strategy allows the user to define the number of eliminations to be performed at each step. This is defined by the parameter ``steps``. If the parameter is set as an integer, the algorithm will use this value as the number of qubits to be eliminated at each step. Alternatively, it is possible to pass a list, which specifies the number of qubits to be eliminated at each step. For ``steps = 1``, the algorithm reduces to the original form of RQAOA presented in [1].\n", + "\n", + "* The ``adaptive`` strategy adaptively selects how many qubits to eliminate at each step. The maximum number of allowed eliminations is given by the parameter ``n_max``. At each step, the algorithm selects the top ``n_max+1`` expectation values (ranked in magnitude), computes the mean among them, and uses the ones lying above it for qubit elimination. This corresponds to a maximum of ``n_max`` possible elimination per step. For ``n_max= 1``, the algorithm reduces to the original form of RQAOA presented in [1].\n", + "\n", + "**NOTE**: The specific performance of these generalizations is currently under investigation. In particular, the development of Adaptive RQAOA is associated with an internal research project at Entropica Labs to be released publicly in the near future [4]. We make these strategies already available to the community in order to strengthen the exploration of more complex elimination schemes for RQAOA, beyond its original formulation [1]." + ] + }, + { + "cell_type": "markdown", + "id": "61270353-74c9-4163-a663-5c89d18976fc", + "metadata": {}, + "source": [ + "## References" + ] + }, + { + "cell_type": "markdown", + "id": "6534a736-093b-44d3-95b6-7a8fa309c2f8", + "metadata": {}, + "source": [ + "[1] S. Bravyi, A. Kliesch, R. Koenig, and E. Tang, [Physical Review Letters 125, 260505 (2020)](https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.125.260505) \\\n", + "[2] S. Bravyi, A. Kliesch, R. Koenig, and E. Tang, [(2020), 10.22331/q-2022-03-30-678](https://quantum-journal.org/papers/q-2022-03-30-678/) \\\n", + "[3] D. J. Egger, J. Marecek, and S. Woerner, [Quantum 5, 479 (2021)](https://doi.org/10.22331/q-2021-06-17-479) \\\n", + "[4] E. I. RodrΓ­guez Chiacchio, V. Sharma, E. Munro (Work in progress) " + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "f1b38648-393a-4974-af43-a2c7d960fb17", + "metadata": {}, + "outputs": [], + "source": [ + "try:\n", + " import openqaoa_azure\n", + "except ImportError:\n", + " !pip -q install openqaoa-azure\n", + " import openqaoa_azure" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "01bd94e3-7f36-4c38-85a8-f85283804369", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import networkx as nx\n", + "import matplotlib.pyplot as plt\n", + "\n", + "from openqaoa import RQAOA, QUBO, create_device\n", + "from openqaoa.utilities import ground_state_hamiltonian, plot_graph\n", + "from openqaoa.qaoa_components import Hamiltonian" + ] + }, + { + "cell_type": "markdown", + "id": "b7d33cb7-0110-4278-993f-69b5c4defbb6", + "metadata": {}, + "source": [ + "## Setting the problem" + ] + }, + { + "cell_type": "markdown", + "id": "be11f78a-d04d-46b3-891d-5b1e37e409fb", + "metadata": {}, + "source": [ + "We define our problem to be a fully-connected system, where we choose the couplings $J_{ij}$ to be of magnitude 1, but with a randomly assigned signs, and for simplicity we set linear terms to 0. The workflow requires us to define the problem as an instance of the ``QUBO`` (Quadratic Unconstrained Binary Optimization) class, which is easily done by defining the connectivity of the problem and the coupling values." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "1f9d971e-b5bc-4dcd-be67-f98742374570", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Number of qubits\n", + "n_qubits = 7\n", + "\n", + "# Define fully-connected terms\n", + "terms = [(i,j) for j in range(n_qubits) for i in range(j)]\n", + "\n", + "# Assign coupling signs at random\n", + "rng = np.random.default_rng(42)\n", + "weights = [(-1)**np.round(rng.random()) for _ in range(len(terms))]\n", + "\n", + "# Define QUBO problem\n", + "problem = QUBO(n_qubits,terms,weights)\n", + "\n", + "# Plot geometry\n", + "problem_graph = nx.Graph()\n", + "weighted_edges = [tuple(list(term) + [weight]) for term, weight in zip(terms,weights)] \n", + "problem_graph.add_weighted_edges_from(weighted_edges)\n", + "\n", + "fig, ax = plt.subplots(1,1,figsize = (8,5))\n", + "\n", + "nx.draw_networkx(problem_graph, pos = nx.shell_layout(problem_graph), edge_color = weights, edge_cmap = plt.colormaps[\"bwr\"], ax = ax)\n", + "\n", + "sm = plt.cm.ScalarMappable(cmap=\"bwr\", norm=plt.Normalize(vmin=min(weights), vmax=max(weights)))\n", + "cbar = plt.colorbar(sm, pad=0.08, ax = ax)\n", + "cbar.ax.set_ylabel(\"Edge Weights\", rotation=270, labelpad=15)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "5746fe91-055b-490e-86cc-9df12002d74f", + "metadata": {}, + "source": [ + "## Run RQAOA on a local simulator " + ] + }, + { + "cell_type": "markdown", + "id": "73f38b8e-ddbc-4dad-bdca-b62e5757b8d3", + "metadata": {}, + "source": [ + " We now demonstrate the full RQAOA workflow and how to run it on Azure Quantum devices" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "4b799e98-7b6a-462d-acfa-70adf95c9db6", + "metadata": {}, + "outputs": [], + "source": [ + "# Define an instance of the RQAOA class\n", + "r = RQAOA()" + ] + }, + { + "cell_type": "markdown", + "id": "05960a08-dd6f-4e32-ac11-cccdef09830c", + "metadata": {}, + "source": [ + "Set up RQAOA properties" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "c7f9000d-220c-4130-afac-fa119a330dfb", + "metadata": {}, + "outputs": [], + "source": [ + "n_cutoff = 3 #size at which to solve things classically\n", + "\n", + "n_steps = 1 # Number of eliminations per step\n", + "\n", + "# Set instance parameters\n", + "r.set_rqaoa_parameters(n_cutoff = n_cutoff, steps = n_steps, rqaoa_type = 'custom')" + ] + }, + { + "cell_type": "markdown", + "id": "cddee917-d4d7-4318-8027-0d8e50b203ab", + "metadata": {}, + "source": [ + "Set up the QAOA properties" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "05b57abb-ed86-4a56-99a3-a6421c74149e", + "metadata": {}, + "outputs": [], + "source": [ + "# The device chosen here is a local simulator included in OpenQAOA\n", + "device = create_device(location='local', name='vectorized')\n", + "r.set_device(device)\n", + "\n", + "r.set_circuit_properties(p=1, param_type='standard', init_type='ramp', mixer_hamiltonian='x')\n", + "r.set_classical_optimizer(method='cobyla', maxiter=200)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "820d8982-26fa-4f31-815f-fcfac9ba3fc0", + "metadata": {}, + "outputs": [], + "source": [ + "# Compile problem instance \n", + "r.compile(problem)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "c2b41c5b-05d2-48b5-8ab6-5079a8e27156", + "metadata": {}, + "outputs": [], + "source": [ + "# Solve problem with RQAOA\n", + "r.optimize()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "09a67012-282a-45a9-a847-8805a5a07f2b", + "metadata": {}, + "outputs": [], + "source": [ + "# Extract results\n", + "result = r.result" + ] + }, + { + "cell_type": "markdown", + "id": "161b7aa9-a7c7-4256-8527-5988cd818d45", + "metadata": {}, + "source": [ + " The results show the final solution of the problem, the output from the classical solution on the reduced problem, the set of eliminations performed (on which pair and which correlation), the schedule followed (the number of eliminations at each step), the total number of recursive steps it took to reach the cutoff size and the all the information regarding the problem and QAOA run in the intermediate steps." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "c5cb0bc0-c3e8-4d35-9628-2ebb449fd809", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{'solution': {'1100100': -9.0, '0011011': -9.0},\n", + " 'classical_output': {'minimum_energy': -4.0,\n", + " 'optimal_states': ['110', '001']},\n", + " 'elimination_rules': [[{'pair': (2, 4), 'correlation': -1.0}],\n", + " [{'pair': (2, 4), 'correlation': 1.0}],\n", + " [{'pair': (1, 4), 'correlation': -1.0}],\n", + " [{'pair': (0, 2), 'correlation': -1.0}]],\n", + " 'schedule': [1, 1, 1, 1],\n", + " 'number_steps': 4,\n", + " 'intermediate_steps': [{'counter': 0,\n", + " 'problem': ,\n", + " 'qaoa_results': ,\n", + " 'exp_vals_z': array([0., 0., 0., 0., 0., 0., 0.]),\n", + " 'corr_matrix': array([[ 0. , 0.15351551, -0.22415966, 0.06753463, 0.28993212,\n", + " -0.28993212, -0.15351551],\n", + " [ 0. , 0. , 0.15351551, -0.15351551, 0.28993212,\n", + " 0.22415966, 0.22415966],\n", + " [ 0. , 0. , 0. , 0.22415966, -0.36057627,\n", + " 0.36057627, -0.15351551],\n", + " [ 0. , 0. , 0. , 0. , -0.28993212,\n", + " 0.28993212, 0.15351551],\n", + " [ 0. , 0. , 0. , 0. , 0. ,\n", + " -0.28993212, 0.22415966],\n", + " [ 0. , 0. , 0. , 0. , 0. ,\n", + " 0. , 0.28993212],\n", + " [ 0. , 0. , 0. , 0. , 0. ,\n", + " 0. , 0. ]])},\n", + " {'counter': 1,\n", + " 'problem': ,\n", + " 'qaoa_results': ,\n", + " 'exp_vals_z': array([0., 0., 0., 0., 0., 0.]),\n", + " 'corr_matrix': array([[ 0. , 0.1595476 , -0.35002771, 0.03823884, -0.29664148,\n", + " -0.08613327],\n", + " [ 0. , 0. , 0. , -0.1595476 , 0.21283065,\n", + " 0.21283065],\n", + " [ 0. , 0. , 0. , 0.35002771, 0.42882567,\n", + " -0.26060145],\n", + " [ 0. , 0. , 0. , 0. , 0.29664148,\n", + " 0.08613327],\n", + " [ 0. , 0. , 0. , 0. , 0. ,\n", + " 0.16493123],\n", + " [ 0. , 0. , 0. , 0. , 0. ,\n", + " 0. ]])},\n", + " {'counter': 2,\n", + " 'problem': ,\n", + " 'qaoa_results': ,\n", + " 'exp_vals_z': array([0., 0., 0., 0., 0.]),\n", + " 'corr_matrix': array([[ 0. , 0.99999992, -0.99999992, -0.9999999 , -0.99999992],\n", + " [ 0. , 0. , -0.9999999 , -0.99999992, -0.99999993],\n", + " [ 0. , 0. , 0. , 0.99999992, 0.9999999 ],\n", + " [ 0. , 0. , 0. , 0. , 0.99999992],\n", + " [ 0. , 0. , 0. , 0. , 0. ]])},\n", + " {'counter': 3,\n", + " 'problem': ,\n", + " 'qaoa_results': ,\n", + " 'exp_vals_z': array([0., 0., 0., 0.]),\n", + " 'corr_matrix': array([[ 0. , 0.22076627, -0.37883018, 0.00745541],\n", + " [ 0. , 0. , 0.16551932, -0.22076627],\n", + " [ 0. , 0. , 0. , 0.37883018],\n", + " [ 0. , 0. , 0. , 0. ]])}],\n", + " 'atomic_ids': {0: '35a89cab-ab5c-49ab-ae13-286881fd5efb',\n", + " 1: '426e4cbf-8d02-4e21-b8fe-83703cac0052',\n", + " 2: '3df9867d-f977-4381-9002-dea3584808bb',\n", + " 3: 'd56eb4b3-a9a6-4389-9b3f-a30de57952be'}}" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "result" + ] + }, + { + "cell_type": "markdown", + "id": "f9a92de4-fd49-494f-b313-60610491766d", + "metadata": {}, + "source": [ + " From the intermediate steps, we can extract useful properties such as the cost optimization, the shape of the system, or the correlation matrix at that step. The ``r.results`` object has some methods that help to get the intermediate steps: ``.get_qaoa_results(step)``, ``.get_problem(step)``, among many others (see https://openqaoa.entropicalabs.com/workflows/recursive-qaoa/)." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "e8a35071-12f5-40ab-ae33-9bfb626aee76", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Retrieve intermediate problem and QAOA optimization progress\n", + "\n", + "# Number of recursive steps\n", + "num_steps = result['number_steps']\n", + "\n", + "fig, ax = plt.subplots(2,num_steps, figsize = (24,8))\n", + "\n", + "for i in range(num_steps):\n", + " \n", + " # Get the QUBO problem and QAOA result object for the last step\n", + " qaoa_results = result.get_qaoa_results(step = i)\n", + " qubo_problem = result.get_problem(step = i)\n", + " terms = [term.qubit_indices for term in qubo_problem.hamiltonian.terms]\n", + " weights = [weight for weight in qubo_problem.hamiltonian.coeffs]\n", + " \n", + " # Extract problem graph\n", + " qubo_graph = nx.Graph()\n", + " weighted_edges = [ tuple(list(term) +[weight]) for term,weight in zip(terms,weights)]\n", + " qubo_graph.add_weighted_edges_from(weighted_edges)\n", + " \n", + " # Plot cost optimization\n", + " qaoa_results.plot_cost(ax = ax[0][i])\n", + " ax[0][i].set_title(f'Step {i+1}')\n", + " ax[0][i].get_legend().remove()\n", + " \n", + " # Plot problem graph\n", + " nx.draw_networkx(qubo_graph, pos = nx.shell_layout(qubo_graph), ax = ax[1][i], edge_color = weights, edge_cmap = plt.colormaps[\"bwr\"])\n", + " sm = plt.cm.ScalarMappable(cmap=\"bwr\", norm=plt.Normalize(vmin=min(weights), vmax=max(weights)))\n", + " cbar = plt.colorbar(sm, pad=0.08, ax = ax[1][i])" + ] + }, + { + "cell_type": "markdown", + "id": "a8a47fa7-8113-416a-898f-5647e8167268", + "metadata": {}, + "source": [ + "In these plots we can appreciate an important aspect of RQAOA: the topology of the problem will evolve unpredictably throughout the recursive process. In this case, where we only consider quadratic terms, the only constraint that will be imposed is that of fixing one qubit with respect to a second one. In the language of graphs, this can be understood as merging two nodes, where the remaining node inherits all the edges from the merged one. From the point of view of the Hamiltonian, the couplings associated with qubits that were connected to both of the merged qubits will add up. For example, if we merge qubit $i$ into qubit $j$, and both where connected to qubit $k$ through couplings $J_{ik}$ and $J_{jk}$, the resulting connection between the remaining qubit $j$ and qubit $k$ will be $J_{jk} \\mapsto J_{jk} + J_{ik}$. You can easily check this by yourself by defining some generic Hamiltonian and imposing the constraint defined in the introduction! As a result, some edges will acquire values beyond the initial definition $|J_{ij}| = 1$. Furthermore, sometimes the couplings will cancel each other, resulting in certain edges disappearing from the graph. This can be observed on the second step of the process above, where the connection between qubits 1 and 2 has disappeared. Through the same mechanism, new connections can emerge between previously disconnected qubits, e.g. in the third step all qubits are again connected with each other. \n", + "\n", + "If we had also included linear terms in the problem and the constraints associated will single-spin expectation values were to be imposed, the change of topology would correspond to removing a node from the graph along with all edges incident in it. " + ] + }, + { + "cell_type": "markdown", + "id": "9d99c9ae-b221-479f-a73b-3b545cfba62f", + "metadata": {}, + "source": [ + "Finally, to check the quality of our results, we compute the exact solution, which can be done for any Hamiltonian of reasonable size using the OpenQAOA utility function ``ground_state_hamiltonian``. To use this function we define the problem as an instance of the ``Hamiltonian`` class, using the ``classical_hamiltonian`` method (given that our Hamiltonian is only composed of $Z$ operators). This class is widely used across OpenQAOA to generate mixer and cost Hamiltonians that define the QAOA structure." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "8c8fd6a8-97dc-4a62-9823-5d68ace489fd", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The solution found by RQAOA has energy = -9.0 and ground states = ['1100100', '0011011']\n", + "\n", + "The exact energy is -7.0 and the solutions are ['1100', '0011']\n" + ] + } + ], + "source": [ + "# Get RQAOA solutions\n", + "solutions = result.get_solution()\n", + "states = list(solutions.keys())\n", + "energy = list(solutions.values())[0]\n", + "\n", + "# Obtain exact solution for comparison\n", + "\n", + "# Define Hamiltonian object from terms and weights\n", + "hamiltonian = Hamiltonian.classical_hamiltonian(terms,weights,constant = 0)\n", + "\n", + "# Compute the exact result\n", + "exact_energy, ground_state_strings = ground_state_hamiltonian(hamiltonian)\n", + "\n", + "print(f'The solution found by RQAOA has energy = {energy} and ground states = {states}\\n')\n", + "\n", + "print(f'The exact energy is {exact_energy} and the solutions are {ground_state_strings}')" + ] + }, + { + "cell_type": "markdown", + "id": "c2325780-509a-42e9-8647-0ee265e04011", + "metadata": {}, + "source": [ + "As we can see, for this simple problem, RQAOA was able to to find two out of the four ground states!" + ] + }, + { + "cell_type": "markdown", + "id": "2266b941-8ee5-405b-9dfe-8fdbff7e7f92", + "metadata": {}, + "source": [ + "## Run RQAOA on a QPU" + ] + }, + { + "cell_type": "markdown", + "id": "69355e37-ab36-4a3b-987f-2848693dd8f7", + "metadata": {}, + "source": [ + "To run RQAOA using OpenQAOA, now on a real quantum device, one simply needs to change the device parameters when defining the RQAOA instance, and voilΓ !" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "f9999c24-a924-4126-9514-a0d2d9189e9b", + "metadata": {}, + "outputs": [], + "source": [ + "# Define an instance of the RQAOA class\n", + "r_qpu = RQAOA()\n", + "\n", + "# Set instance parameters\n", + "r_qpu.set_rqaoa_parameters(n_cutoff = 3, steps = 1, rqaoa_type = 'custom')\n", + "\n", + "# Set the properties you want - These values are actually the default ones!\n", + "r_qpu.set_circuit_properties(p=1, param_type='standard', init_type='ramp', mixer_hamiltonian='x')\n", + "\n", + "r_qpu.set_backend_properties(n_shots=500)\n", + "\n", + "# Set the classical method used to optimiza over QAOA angles and its properties, note that to make the computation leaner we set a tollerance of 0.05\n", + "r_qpu.set_classical_optimizer(method='cobyla', maxiter=20, tol=0.05, optimization_progress=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "a5e416ae", + "metadata": {}, + "outputs": [], + "source": [ + "# Here are some of the simulators available through Azure Quantum, replacing the device with a real qpu\n", + "ionq_sim = 'ionq.simulator'\n", + "quantinuum_sim = 'quantinuum.sim.h1-1e'\n", + "rigetti_sim = 'rigetti.sim.qvm'\n", + "\n", + "# Set the backend you want to use here.\n", + "# WARNING: Quantinuum simulator usage is not unlimited. Running this sample against it could consume a significant amount of your eHQC quota.\n", + "backend_to_use = rigetti_sim" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "4e0c0346-575c-4e32-96a4-dfd8deb14b36", + "metadata": {}, + "outputs": [], + "source": [ + "# Connect to the Azure Quantum workspace through OpenQAOA\n", + "resource_id = ''\n", + "az_location = ''\n", + "\n", + "# Set a quantum device to run our instance\n", + "device = create_device(location='azure', name=backend_to_use, resource_id=resource_id, az_location=az_location)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "af73063b-6710-4b3e-a8cf-9d113e5a7520", + "metadata": {}, + "outputs": [], + "source": [ + "r_qpu.set_device(device)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "bc5265d1-fdd1-42c3-bea1-43ea1147205e", + "metadata": {}, + "outputs": [], + "source": [ + "r_qpu.compile(problem)" + ] + }, + { + "cell_type": "markdown", + "id": "f5dc395e", + "metadata": {}, + "source": [ + "Job submission to the Azure backend is made internally in the optimization loop in OpenQAOA. You can submit Jobs one at a time using the optimization loop or group them with the help of the Azure Session feature.\n", + "\n", + "This cell can take a few minutes to execute (note that executing on real QPUs can take longer run time)." + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "2ef2a984-e1c7-43b5-9501-c669a9d26944", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................" + ] + } + ], + "source": [ + "# Job submission to Azure Quantum is done internally\n", + "# r_qpu.optimize()\n", + "\n", + "# Jobs can also be grouped using Azure sessions\n", + "with r_qpu.device.backend_device.open_session(name=\"RQAOA\") as session:\n", + " r_qpu.optimize()" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "24512456-8bc7-4820-9ac7-fd678a43b1a2", + "metadata": {}, + "outputs": [], + "source": [ + "result_qpu = r_qpu.result" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "69c33b4f-fa6a-4737-ba53-acbbd2b1d3c8", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Retrieve intermediate problem and QAOA optimization progress\n", + "\n", + "# Number of recursive steps\n", + "num_steps = result['number_steps']\n", + "\n", + "fig, ax = plt.subplots(2,num_steps, figsize = (24,8))\n", + "\n", + "for i in range(num_steps):\n", + " \n", + " # Get the QUBO problem and QAOA result object for the last step\n", + " qaoa_results = result_qpu.get_qaoa_results(step = i)\n", + " qubo_problem = result_qpu.get_problem(step = i)\n", + " terms = [term.qubit_indices for term in qubo_problem.hamiltonian.terms]\n", + " weights = [weight for weight in qubo_problem.hamiltonian.coeffs]\n", + " \n", + " # Extract problem graph\n", + " qubo_graph = nx.Graph()\n", + " weighted_edges = [ tuple(list(term) +[weight]) for term,weight in zip(terms,weights)]\n", + " qubo_graph.add_edges_from(qubo_problem.terms)\n", + " \n", + " # Plot cost optimization\n", + " qaoa_results.plot_cost(ax = ax[0][i])\n", + " ax[0][i].set_title(f'Step {i+1}')\n", + " ax[0][i].get_legend().remove()\n", + " \n", + " # Plot problem graph\n", + " nx.draw_networkx(qubo_graph, pos = nx.shell_layout(qubo_graph), ax = ax[1][i], edge_color = weights, edge_cmap = plt.colormaps[\"bwr\"])\n", + " sm = plt.cm.ScalarMappable(cmap=\"bwr\", norm=plt.Normalize(vmin=min(weights), vmax=max(weights)))\n", + " cbar = plt.colorbar(sm, pad=0.08, ax = ax[1][i])" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "f768b64b-6092-4cfe-a8e0-f2a1721327fd", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The solution found by RQAOA has energy = -9.0 and ground states = ['1000100', '0011011']\n", + "\n", + "The exact energy is -5.0 and the solutions are ['1000', '1100', '0011', '0111']\n" + ] + } + ], + "source": [ + "# Get RQAOA solutions\n", + "solutions_qpu = result_qpu.get_solution()\n", + "states_qpu = list(solutions_qpu.keys())\n", + "energy_qpu = list(solutions_qpu.values())[0]\n", + "\n", + "# Obtain exact solution for comparison\n", + "\n", + "# Define Hamiltonian object from terms and weights\n", + "hamiltonian = Hamiltonian.classical_hamiltonian(terms,weights,constant = 0)\n", + "\n", + "# Compute the exact result\n", + "exact_energy, ground_state_strings = ground_state_hamiltonian(hamiltonian)\n", + "\n", + "print(f'The solution found by RQAOA has energy = {energy_qpu} and ground states = {states_qpu}\\n')\n", + "\n", + "print(f'The exact energy is {exact_energy} and the solutions are {ground_state_strings}')" + ] + }, + { + "cell_type": "markdown", + "id": "8c7d5dd9", + "metadata": {}, + "source": [ + "Congrats! You have run two instances of RQAOA locally and on an Azure backend to find the solution to a binary optimization problem.\n", + "\n", + "As a next step, you can modify the problem instance (see [OpenQAOA](https://el-openqaoa.readthedocs.io) for more examples), or run it on real QPUs." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "azure_nb", + "language": "python", + "name": "azure_nb" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.13" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/samples/azure-quantum/qaoa/openqaoa.ipynb b/samples/azure-quantum/qaoa/openqaoa.ipynb new file mode 100644 index 000000000000..4a6f22bfdecb --- /dev/null +++ b/samples/azure-quantum/qaoa/openqaoa.ipynb @@ -0,0 +1,760 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Quantum Approximate Optimization Algorithm\n", + "\n", + "In this notebook, we provide a short introduction to QAOA using the OpenQAOA library." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### A brief introduction to OpenQAOA\n", + "\n", + "This section provides a walkthrough of a simple example workflow and a quick introduction to the functionalities of the OpenQAOA library.\n", + "\n", + "The QAOA workflow can be divided in four simple steps:\n", + "- Problem definition: Define your optimization problem here, either by: \n", + " - using pre-defined problem classes or,\n", + " - supplying your own QUBO\n", + "- Model building: \n", + " - Build the QAOA circuit with the available configurations\n", + " - Choose the backend (device) to run the circuit\n", + " - Choose the properties of the classical optimizer\n", + "- Compile model and optimize: \n", + " - Compile the model by passing the problem defined in step-1\n", + " - Execute `q.optimize()` to run the optimization process\n", + "- Extract results\n", + " - Run `q.results` to obtain information on the optimization run " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Begin by importing the necessary modules" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "try:\n", + " import openqaoa\n", + "except ImportError:\n", + " !pip -q install openqaoa-azure\n", + " import openqaoa" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "#some regular python libraries\n", + "import networkx as nx\n", + "import numpy as np\n", + "from pprint import pprint\n", + "import matplotlib.pyplot as plt\n", + "\n", + "#import problem classes from OQ for easy problem creation\n", + "from openqaoa.problems import MaximumCut\n", + "\n", + "#import the QAOA workflow model\n", + "from openqaoa import QAOA\n", + "\n", + "#import method to specify the device\n", + "from openqaoa.backends import create_device" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Step 1: Create a problem instance\n", + "We begin by creating a problem instance for a simple MaximumCut problem for a random graph created using the python `networkx` module. MaximumCut is a go-to problem to demonstrate QAOA in action.\n", + "\n", + "For this, we first:\n", + "- create a random graph using the `networkx` module\n", + "- using the MaximumCut problem class, we translate into the QUBO formalism to optimize with QAOA" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "nodes = 6\n", + "edge_probability = 0.6\n", + "g = nx.generators.fast_gnp_random_graph(n=nodes, p=edge_probability, seed=42)\n", + "\n", + "# import graph plotter from openqaoa\n", + "from openqaoa.utilities import plot_graph\n", + "plot_graph(g)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "# Use the MaximumCut class to instantiate the problem.\n", + "maxcut_prob = MaximumCut(g)\n", + "\n", + "# The property `qubo` translates the problem into a binary Qubo problem. \n", + "# The binary values can be access via the `asdict()` method.\n", + "maxcut_qubo = maxcut_prob.qubo" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "{'constant': 0,\n", + " 'metadata': {},\n", + " 'n': 6,\n", + " 'problem_instance': {'G': {'directed': False,\n", + " 'graph': {},\n", + " 'links': [{'source': 0, 'target': 2},\n", + " {'source': 0, 'target': 3},\n", + " {'source': 0, 'target': 4},\n", + " {'source': 1, 'target': 2},\n", + " {'source': 1, 'target': 3},\n", + " {'source': 1, 'target': 5},\n", + " {'source': 2, 'target': 4},\n", + " {'source': 2, 'target': 5},\n", + " {'source': 3, 'target': 5},\n", + " {'source': 4, 'target': 5}],\n", + " 'multigraph': False,\n", + " 'nodes': [{'id': 0},\n", + " {'id': 1},\n", + " {'id': 2},\n", + " {'id': 3},\n", + " {'id': 4},\n", + " {'id': 5}]},\n", + " 'problem_type': 'maximum_cut'},\n", + " 'terms': [[0, 2],\n", + " [0, 3],\n", + " [0, 4],\n", + " [1, 2],\n", + " [1, 3],\n", + " [1, 5],\n", + " [2, 4],\n", + " [2, 5],\n", + " [3, 5],\n", + " [4, 5]],\n", + " 'weights': [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]}\n" + ] + } + ], + "source": [ + "pprint(maxcut_qubo.asdict())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Extract the exact solution for a small enough problem\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Ground State energy: -6.0, Solution: ['001110', '110001']\n" + ] + } + ], + "source": [ + "hamiltonian = maxcut_qubo.hamiltonian\n", + "\n", + "# import the brute-force solver to obtain exact solution\n", + "from openqaoa.utilities import ground_state_hamiltonian\n", + "energy, configuration = ground_state_hamiltonian(hamiltonian)\n", + "print(f\"Ground State energy: {energy}, Solution: {configuration}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#plot the solution on graph\n", + "g_sol = np.copy(g)\n", + "pos = nx.spring_layout(g)\n", + "nx.draw_networkx_nodes(g, pos, nodelist=[idx for idx,bit in enumerate(configuration[0]) if bit == '1'], node_color=\"tab:red\")\n", + "nx.draw_networkx_nodes(g, pos, nodelist=[idx for idx,bit in enumerate(configuration[0]) if bit == '0'], node_color=\"tab:blue\")\n", + "nx.draw_networkx_edges(g, pos)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Step 2: Build the QAOA model\n", + " - Initialize the model (with default parameters)\n", + " - Optionally set the following properties for the model\n", + " - `model.set_device(...)`: Set the device\n", + " - The device properties include the location of the device `[local, qcs, ibmq]` and the device name. Full list of devices available at `openqaoa.workflows.parameters.qaoa_parameters.ALLOWED_DEVICES`\n", + " - `model.set_circuit_properties(...)`: Sets the circuit properties. Mainly used for:\n", + " - `p`: the number of layers\n", + " - `param_type`: the desired parameterisation to be chosen between `['standard', 'extended', 'fourier', annealing]`\n", + " - `init_type`: the initialisation strategy for param_type. To be chosen between `['ramp', 'random', 'custom']`\n", + " - `model.set_backend_properties(...)`\n", + " - `model.set_classical_optimizer(...)`\n", + "\n", + "\n", + " \n", + "For more details on the configurable properties, please refer to the documentation" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "# initialize model with default configurations\n", + "q = QAOA()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "# optionally configure the following properties of the model\n", + "\n", + "# device\n", + "qiskit_device = create_device(location='local', name='qiskit.statevector_simulator')\n", + "q.set_device(qiskit_device)\n", + "\n", + "# circuit properties\n", + "q.set_circuit_properties(p=2, param_type='standard', init_type='rand', mixer_hamiltonian='x')\n", + "\n", + "# backend properties (already set by default)\n", + "q.set_backend_properties(prepend_state=None, append_state=None)\n", + "\n", + "# classical optimizer properties\n", + "q.set_classical_optimizer(method='nelder-mead', maxiter=200, tol=0.001,\n", + " optimization_progress=True, cost_progress=True, parameter_log=True)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Step 3: Compile and Optimize\n", + "\n", + "- Once the QAOA model is configured, we need to compile it. **Compilation is necessary** because the QAOA solver has to interact with the problem in to be able to create the underlying QAOA circuit.\n", + "- The problem is ready to be optimized now. The user can call `model.optimize()` to initiate the optimization loop. " + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "q.compile(maxcut_qubo) " + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "q.optimize()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Step 4: Accessing the results" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "opt_results = q.result" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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m5VhmZqaSkpKUkZGhxMTEcA8HAAAACOjQoUNas2aNGjVqpEq5F1qhUPL7Z1jYbEAlCwAAAABCiJCFqLJpk7RiRbhHAQAAAATGPlmIKvXr23HHDqlmzfCOBQAAAPCHShai0l9/hXsEAAAAgH+ELESNnBzPuVPRAgAAQF70tiu6UPyzI2QhamRlec4TEsI3DgAAgEgVFxcnSSW6B1RZ5/yzc/5ZFgVrshA1jh71nFfg31wAAIA8YmNjlZycrG3btkmSEhIS5HK5wjyq6OB2u3XgwAFt27ZNycnJio2NLfJn8UdVRA3vkLV9u1SlSvjGAgAAEKlSU1Ml6VjQQnCSk5OP/TMsKkJWGZOTI40YIXXqJN10U7hHE1reIWvbNqlhw7ANBQAAIGK5XC7VqVNHxx13nLK811ugQHFxccWqYDkIWWXMV19JEyfao6yFrJo1LVitXSuxlhMAACB/sbGxIQkMCB6NL8oYZ31erVrhHUdJcdZieVe1AAAAgEhCyCpjnEYyzZqFdxwlhZAFAACASEfIKmP27LFjUlJYh1EiNm2Sli2zc0IWAAAAIhUhq4zJyLDjtGnSjh3hHUuoZWZ6zglZAAAAiFSErDLGqWRJUnp62IZRIryDFSELAAAAkYqQVcZ4h6x9+8I2jBLhHay6dw/fOAAAAID8ELLKmMcfl5y90/buDe9YQs3Z5qFBAyk5OaxDAQAAAAIiZJUxcXFSo0Z2XlYrWU6begAAACASEbLKoKpV7VhWQ9aqVdKSJeEdCwAAABAIIauMueceafp0Oy9r0wW912QtWBC+cQAAAAD5IWSVMe+95zkva5Ws006TzjjDzukuCAAAgEhVIdwDQGg5+2RNnSr16hXWoZSIihXtSMgCAABApKKSVYa43Z4W7p07S9WqhXU4JaLC//5agJAFAACASEXIKkP275eys+08KSm8YykJP/8sTZli54QsAAAARCpCVhniTBWUpIcfliZMCN9YSsLatZ5zQhYAAAAiFSGrDHGmCkrSY49JH34YtqGUCO9gRcgCAABApCJklSHelSyp7HUXdIJVpUrSBReEdywAAABAIFEXsp5//nk1bNhQlSpVUpcuXTRv3rx87//ggw/UsmVLVapUSe3atdOXX35ZSiMtfV26SNu2SS+9ZM/L2j5ZWVl27NdPatAgvGMBAAAAAomqkPX+++/r1ltv1QMPPKBff/1VHTp0UP/+/bVt2za/98+ZM0cXXnihRowYod9++01DhgzRkCFDtHjx4lIeeemIjZVSUqTWre15Wa1kVWDjAQAAAEQwl9vtdod7EIXVpUsXnXTSSXruueckSTk5OUpLS9OoUaM0ZsyYPPcPGzZM+/fv1+eff37s2imnnKKOHTvqJafcU4DMzEwlJSUpIyNDiYmJofkhJey336QTTpDq1pU2bQr3aELn2Welm26y8x9/lLp1C+94AAAAUL4UNhtETSXryJEj+uWXX9S3b99j12JiYtS3b1/99NNPft/z008/+dwvSf379w94vyQdPnxYmZmZPo9o8dln0g03SNOn2/OyNl3Qu9nFxx+HbxwAAABAfqImZO3YsUPZ2dmqXbu2z/XatWtr69atft+zdevWoO6XpHHjxikpKenYIy0trfiDLyU//ii98IK0cKE937fPNiguK2680R4S3QUBAAAQuaImZJWWu+66SxkZGcceGzZsCPeQCs1p4d60qfTrr9KKFWEdTsjFxUnVq9s5IQsAAACRKmpaCNSqVUuxsbFKT0/3uZ6enq7U1FS/70lNTQ3qfkmKj49XfHx88QccBk7IqllT6tQprEMpMU7TC0IWAAAAIlXUVLIqVqyozp07a8aMGceu5eTkaMaMGeratavf93Tt2tXnfkmaPn16wPujnbNPVnJyWIdRYj78UHrgATsnZAEAACBSRU0lS5JuvfVWXXbZZTrxxBN18skna/z48dq/f7+uuOIKSdLw4cNVr149jRs3TpJ08803q2fPnvq///s/DRw4UO+9954WLFigV155JZw/o8Q4laykJOm556QtW6TrrpPq1w/rsEJmwQLPOSELAAAAkSqqQtawYcO0fft23X///dq6das6duyoadOmHWtusX79esXEeIpz3bp10+TJk3Xvvffq7rvvVrNmzfTJJ5+obdu24foJJcq7knXHHdLKldKAAWUnZDmbEUuELAAAAESuqApZknTjjTfqRqfFXC7fffddnmvnnXeezjvvvBIeVWRwKlnJyVK1anZeljYkdoJV27bS6NHhHQsAAAAQSNSFLAS2aJEFrbQ0qWpVu1aW9spyQtbZZ0sdO4Z1KAAAAEBAhKwypFYte0hls5LlTBeswL+1AAAAiGBR010QwSnLlazJk6Xp08M7FgAAACAQQlYZsXWrdMMN0j//ac+dkFWWKllOyFq+XPq//wvvWAAAAIBACFllxMaN0gsvSE53eme6oHcl67ffpCVLpIMHS398ofDss9KTT9o53QUBAAAQqQhZZYT3HlmSdPPN0i+/SLfc4rnniiusM9/s2aU+vJBITPS0oydkAQAAIFLRQqCM8G7fLkkNG9rD24YNdly9unTGVBKcpheELAAAAEQqKlllhPdGxP4cPSrt2mXnAbYZi3gvvuipzBGyAAAAEKmoZJURuacLLl8uffKJVLu2dPnl0rZtvvdnZHjujRaffSatW2fnhCwAAABEKipZZUTu6YJ//imNGSO9+qo937LF9/6VK0trZKHj7JMlEbIAAAAQuQhZZUTuSlbufbK2bvW9PxpDlhOshgyRHn88rEMBAAAAAmK6YBnxz39KN93kad3uHJ19snJXslasKL2xhYoTsi69VOrXL7xjAQAAAAKhklVGJCVJzZpJqan2PHclq3Nn6eGHpfbt7Xk0V7Iq8FcDAAAAiGD8cbWMyl3J6tTJHm3aSOecE52VLGdN1qefSi6XdOaZ4R0PAAAA4A8hq4wYN84C1ciRtj+WU8k6dMgqQE71p3NnaexYqV27sA21yJxK1htvSNOmEbIAAAAQmVxut9sd7kFEsszMTCUlJSkjI0OJiYnhHk5ADRtae/Off5a6dJGOHJHi4+213bttemDlylLTplKlSmEdapFt3izNmyedfbZ03HFSenq4RwQAAIDypLDZgDVZZUTuFu4VK0ozZ0rz50tVqkjDhln16tdfwzXC4qtbV2rRws5p4Q4AAIBIxXTBMiAnR8rMtHMnZElS7952dLs93QVTU6WNG6U//pCOP97WaEUTZ9ojIQsAAACRikpWGbB3rwUpybNPlrfMTFubJVnI+te/pDPOkN5+u/TGGAqPPCLdd5+dE7IAAAAQqahklQHOVMH4eN/1Vu+/b+u02ra154mJUkKCtXqXoq/D4Asv2LosiZAFAACAyEXIKgMyMuyYu4r11FPS3LnSLbfY8zp17Ni8uR2jba8s72BFyAIAAECkImSVAbmbXjicvbKcMOVsVOwdsnJypJgomTTq7JN1++22lszttv2yAAAAgEhCyCoDTj7Zpv45IcTh7JXlhCynktWggRQXZ+u0Nm60BhjRwKleXXON1KRJeMcCAAAABELIKgMqVfKss/LmhKyOHaXhw6WWLe15hQpS48bS8uUWwKItZFXg31oAAABEsCiZKIaicKYLtmwp3X23dM45ntecKYPR1PzCqdR9+630+ed5K3cAAABAJKAmUAa89Za0bJk0eLBNHXQ4lax9+/K+5/rrpfPPl3r0KJ0xFpfb7alkXXWVHXfulGrUCN+YAAAAAH8IWWXABx9In30m1a/vP2R9/bV02WVWvYqPt2sDBpT+OItryRKrXnXsaM/pMAgAAIBIxHTBMmDNGjs2bux7/eKLpRkzpMWLpfbto69luzeXS2rdWurQQYqNtWuELAAAAEQiKllRzu2W/vrLzhs18n2tSRMpLc3z3GnhLllnwZkzpfR06YorSn6coVShgpSdTcgCAABAZCJkRbnt26UDB6zS06BB3tfT0+0YFyfVrOm5fvCgNHCgnQ8bJiUklPxYi+PgQelf/7KA5eyNRcgCAABAJCJkRTlnqmDdup71Vo5Nm6QHHrDz1FTfjXuTk6UqVaT9+22vLKfbYKTat0966CE7r1bNKnGELAAAAEQi1mRFuUDrsSRp1SppwgQ7954qKFngcvbH2rCh5MYXKk6giomRKlb0vQYAAABEEipZUS7QeizJs0+WJNWpk/f1tDRp6dLoCFnOnlgVKkjjxtnz2rXDOyYAAADAH0JWlLvjDumii/y/5rRwl/JWsiRPJWv9+tCPK9ScqlWFCtLIkeEdCwAAAJAfQlaUq1BBatjQ/2velazBg/O+7nQejIZKlhOy4uLCOw4AAACgIISsMsy7ktW7d97XozFkVaggLVgg7d0rdepkDTwAAACASELjiyiWnS1dcol0773W4jy3KlU85/v25X29Vy/prbekf/6zxIYYMt5rsi65RDrtNGnRovCOCQAAAPCHSlYU27hReucd67bntDf3FuMVoXftklJSfF9v1Mh/w4xI1KyZNG+e/abLLrNrdBcEAABAJCJkRTGnfXuDBr6ByttZZ0m//SbVq1d64yoJCQnSSSfZeYX//VtLyAIAAEAkImRFMSdk5VeN+uQTm1ZYIcD/0jNnSitXWhjz1+Y9EhGyAAAAEMkIWVEsvz2yHC5X4IAlSaNHSwsXSvXrSwMHhnR4IbVunfT++7Y3ltNhkJAFAACASETIimKFqWQVJC3NQlakdxhcuVK6806pXTspKcmuEbIAAAAQieguGMVCEbKcDYkjPWR575PlVOacjoMAAABAJKGSFcXWr7dj48ZF/wxnryznsyKV9z5ZV18tnXGG1L59eMcEAAAA+EPIijIffmjholkzW5O1caNUt27RPy9aNiT23ifrwgvDOxYAAAAgP0wXjCJPPSWde6508cUWOuLibKpgfHzRPzPapgvm18QDAAAAiASErChy7rlS9erS/PnSgw+G5jO9K1k5OaH5zJLgvSZr9WrbmDg9PbxjAgAAAPwhZEWRtDTplVfs/NFH7fm77xbvM+vVk956S/r2W8ntLv4YS4p3JWvMGKlLF5s6CQAAAEQaQlaUOfdc6cor7XzjRmn27OJ9XoUK0iWXSKeeKsXGFn98JaVfP2nWLGncODYjBgAAQGQjZEWhp5/2nHfuHL5xlKbataVevaROnQhZAAAAiGy0EYhCVatK69ZJn34qXXpp8T/vt99sjVO7dlK3bsX/vJJGyAIAAEAko5IVpY4/Xho1SqpUqfif9c470rXXSh99VPzPKikLF0rPPy/NmMFmxAAAAIhshCxExYbEM2ZIN94oTZxIJQsAAACRjZCFqNiQ2Lu7ICELAAAAkYw1WVCDBnZcscKCSyRu+Ou9T9bpp0s1a1pHRAAAACDSROAfp1Ha2re30LJzp7VJ//vfwz2ivLwrWWecYQ8AAAAgEjFdEIqLk847z84nTw7vWAJxmlxEYpUNAAAA8EbIgiTpwgvt+MMPUk5OeMfij/d0wR07pCVLpE2bwjsmAAAAwB9CFiRJPXpIX38tLV0qxUTgvxXe0wVfeEFq21b65z/DOyYAAADAHyZfQZIFq379wj2KwEaMkHr3lho1kj75xK7RXRAAAACRiJCFPHJy7BFJ659atbKHJH3+uR0JWQAAAIhEETgxDOH09NNWLXrvvXCPJDD2yQIAAEAkI2TBx+7d0vr10rvvhnskvr7/Xpo4UVq8mJAFAACAyEbIgg+ny+DXX0vbtoV3LN5ef1264gpp2jRCFgAAACIbIQs+WrSQTj5Zys6W3ngj3KPx8N4ni5AFAACASBY1IWvXrl26+OKLlZiYqOTkZI0YMUL79u3L9z29evWSy+XyeVx77bWlNOLodd11dnz5ZQtbkcB7n6wOHaTbbpOGDAnrkAAAAAC/oiZkXXzxxVqyZImmT5+uzz//XN9//72uvvrqAt83cuRIbdmy5djj8ccfL4XRRrdhw6Tq1aW1a216XiTw3ierSxfp3/+WLrssvGPat8/a3r/4YnjHAQAAgMgSFSFr6dKlmjZtml577TV16dJFPXr00LPPPqv33ntPmzdvzve9CQkJSk1NPfZITEwspVFHr8qVbf2TZBv/RgLv6YKR4rnnpOnTpeuvD/dIAAAAEEmiImT99NNPSk5O1oknnnjsWt++fRUTE6O5c+fm+9533nlHtWrVUtu2bXXXXXfpwIED+d5/+PBhZWZm+jzKo2uvla66Snr44XCPxHhXsg4csCrbpk1hHZLK6b8aAAAAKEBUhKytW7fquOOO87lWoUIF1ahRQ1u3bg34vosuukhvv/22Zs2apbvuuktvvfWWLrnkkny/a9y4cUpKSjr2SEtLC8lviDbNmkmvviqdcEK4R2K812RNm2Z7eQ0bFt4xnX66HevVC+84AAAAEFnCGrLGjBmTpzFF7seyZcuK/PlXX321+vfvr3bt2uniiy/Wm2++qY8//lirV68O+J677rpLGRkZxx4bNmwo8vcjdO67T3r/fal798jpLhgXZ8eKFcM7DgAAAESWsK5wGT16tC6//PJ872ncuLFSU1O1LdemTUePHtWuXbuUmppa6O/r0qWLJGnVqlVq0qSJ33vi4+MVHx9f6M8s6xYulJ59Vho4UDrnnPCN49RTPedLltgx3CHLCXuR0oERAAAAkSGsISslJUUpKSkF3te1a1ft2bNHv/zyizp37ixJmjlzpnJyco4Fp8JYuHChJKlOnTpFGm959MEHtl/W3r3hDVneIqWS9euvdly/PrzjAAAAQGSJijVZrVq10oABAzRy5EjNmzdPP/74o2688UZdcMEFqlu3riRp06ZNatmypebNmydJWr16tR5++GH98ssvWrt2raZOnarhw4fr1FNPVfv27cP5c6LK4MF2/Oor6fDh8I1j2jQLfOnpnml64Q5ZTqPK7t3DOw4AAABElqgIWZJ1CWzZsqX69OmjM844Qz169NArr7xy7PWsrCwtX778WPfAihUr6ttvv1W/fv3UsmVLjR49WkOHDtVnn30Wrp8QlU48UapTx/aEmjUrfOO4807p/POlP/6InEqW221HZpcCAADAWwTtOpS/GjVqaPLkyQFfb9iwodzOn3olpaWlafbs2aUxtDItJkY680zplVekqVOlAQPCMw7vfbIiJWQ5a7FiY8M7DgAAAESWqKlkIXycKYNTp3qqN6XNe5+sOnWk666TCujGX+Kc3QOmTw/vOAAAABBZoqaShfA57TSpShXb/PeXX2wKYWnz3ierYUPphRdKfwy57dsX7hEAAAAgElHJQoEqVbJpgo0bS9u3h2cM3pWsSOFyhXsEAAAAiEQR9EdWRLKJE62aFa5g4b0mKztb2rVLysmRatcOz3gkQhYAAAD8o5KFQqlaNbyhwnu64F9/SccdJ7VoEb7xSNKVV3rOc3LCNw4AAABEFipZCEpWlu1VVb9+6X7vc89JBw5IdetKu3fbtXB3F6xSxXOenW2dGAEAAABCFgrtq6+kCy+U2rSRfvyxdL972DDP+d69dgx3yPJeH5ad7dkkGQAAAOUbf/eOQuvY0QLOnDnS6tXhG4cTbpx1WuHivTlzuAMfAAAAIgchC4VWp47Ut6+dv/NO6X73Z59ZJe3wYU/IyskJ71qoZcvsOHiw79RBAAAAlG+ELATF2QD47bdLb2Nit1s66yzpjDOkzMy80/TCxQl4NWrQaRAAAAAehCwE5eyzpYQEaeVKad680vlO7yBVoYJvyArnND1nXLGx4RsDAAAAIg8hC0GpWtWClmTVrNLgvfaqQgWpYkVp+HBroR7OCpITsl57zdPxEAAAACBkIWiXXmrH994rnUqS93fExUnx8dKkSdLrr0uVKpX89wfivR7M6XgIAAAAELIQtD59pIcekr7/3nfqXknxDlml8X2F5T2NMZxrwwAAABBZIuiPrIgWFSpI991Xet/nPV3QWf904ICFr6pVw7cJsHewooU7AAAAHFSyEPGcABMb61mDVaOGlJQkbdoUvnHdcYfnnJAFAAAAB5UsFNlrr1mHwfvvl+rXL7nvSUyUXnzRdw1UhQq2Z1Y4w01yspSSIm3fznRBAAAAeBCyUGQvvCD99pvtX1WSIatqVenaa32vOWuzwl1BipRxAAAAIHIwXRBF1rGjHRcuLP3vjoRw8/HH0pYt4R8HAAAAIguVLBRZhw52LOmQtW+fNHeubYLctatdi4SQNWOGHUeMkNq3D984AAAAEFkIWSiy0qpkrV4t9e0r1akjbd5s1yIhZDnrsNLSbINkAAAAQGK6IIrBqWStWyft3l1y3+MEKe89siIpZDlt5QEAAACJkIViSE6WGja080WLSu57/IWsgQOlYcNsDOHihKz77pNWrAjfOAAAABBZCFkoFmfK4MqVJfcdzmbE3iHr+eel996TmjUrue8tiHdL+XXrwjcOAAAARBbWZKFYnnlGmjjRNgYuKU4lKy6u5L6jKLz3xmKfLAAAADgIWSiWtLSS/w5/0wXdbqskuVxSTJjqsd7BihbuAAAAcDBdEBHP33TBk0+259OmhWdMkvTvf3sqeFSyAAAA4CBkodjuv1/q3VtavLhkPr9FC+mJJ6Sbb/Zcczr6hbOCVLeuZ38sKlkAAABwMF0Qxfb999Ls2dIvv0ht24b+8xs3lkaP9r0WCS3cpcgIewAAAIgsVLJQbKW1KbE3pwlGOMPNO+9I331n50wXBAAAgINKForNCVm//14yn799u7R6tVSjhtS8uV2LhErWe+/Z8c47pTPPDN84AAAAEFmoZKHYvCtZbnfoP//LL6WuXaWbbvJci4SQ5VSvWraUqlUL3zgAAAAQWQhZKLbWrW363u7d0oYNof98f/tkRVLIctZlAQAAABIhCyFQsaLUrJmd//ln6D/f3z5ZJ50kDRok1a8f+u8rrJwcO953n/Tzz+EbBwAAACILa7IQEq1aSTt2SBkZof9sf/tk3X9/6L8nWE4la906acEC6ZRTwjseAAAARAZCFkLinXek+PiS+Wx/laxI4N1RkBbuAAAAcDBdECFRUgFL8r8mKxJ4hyxauAMAAMBByELE81fJuuYaqVIl6YknwjMmSXr9dalNGzunkgUAAAAHIQshkZNjjSgaNpTS00P72T16SGPHSoMHe65lZ0uHD0tHjoT2u4LRooVnHRaVLAAAADgibJULolVMjLR0qTWBWLpUql07dJ/do4c9vDlTB8NdQYqEVvIAAACILFSyEDKtWtmxJNq45+aEG6fzYDi88Yb08st2TiULAAAADkIWQsYJWUuXhvZzN2+W/vjDdxpiJFSQnnrKjv/+t3TddeEbBwAAACILIQsh07q1HUMdsp54Qmrf3hNqpMgIWc5mxJ07S6mp4RsHAAAAIgshCyFTUtMF/XUXjISQ5UwRjOG/IgAAAHjhj4cIGSdkbdkiZWSE7nP97ZPVtKnUu7fUpEnovidYTsh67DHp66/DNw4AAABEFroLImSSkmzKYFKStHOnHUPBXyVrxAh7hJMzXfCrryzs9e8f3vEAAAAgMhCyEFJLloT+M50OghUi7N9W746CtHAHAACAg+mCiHj+pgtGAu+QRQt3AAAAOAhZKBGhDB3+pgu++KJUs6Z0zTWh+55gTZkiDRhg51SyAAAA4CBkIaQWL5aaN/c0wQiFs86S7rjDWqU7jhyRdu2SMjND9z3B6tJF6tPHzqlkAQAAwBFhq1wQ7Y47Tlq5UnK5pAMHpISE4n/mhRfaw1sktHCXpNjYyBgHAAAAIgeVLIRUSopUo4bkdkvLl5fc90RCyHr5Zemll+ycShYAAAAchCyElMvlmSq4bFloPnPTJmnNGmn/fs+1SAhZt98urVghTZwoPfRQ+MYBAACAyELIQsjVr2/H9PTQfN5ll0mNG0tTp3quRULIcvbJ+tvfbB0aAAAAIBGyUAJq1bLjzp2Ff88//2lNJLyDlMPfPlmRELKcKYLOuiwAAABAImShBNSsacdgQtaSJdLMmTYtMDd/+2SlpEgnnyy1aFH0cRaXE7Kee0766KPwjQMAAACRhe6CCLlmzaSuXaWGDQv/nh9/tOOWLXlf87dPVr9+9ggnJ2Q98YT0979L55wT3vEAAAAgMhCyEHKXXGKPYGzYYMeFC/O+5m+6YLi53Z41WRIt3AEAAODBdEFElBg//0b6q2SVtD/+kObPD/y6d8CSaOEOAAAAD0IWIorLlfeavzVZP/wgHX+8TdMLtZwcqX17W/O1a1fgcU6bJl11le8YAQAAgAiagIWyYvNmqUsX6cCBwjW/KCigXHyxfWa9ep5rWVk2xTApqXhj9ceZnihJ27bZ5sq5xcRI/ftLhw9Lr71GyAIAAIAHIQshV62atHGjnR84ICUk5H+/9ybDVarkff2ee/JeK8kW7t4hq6D27M44mC4IAAAAByELIVe1qk3ty8qySlZhQ1ZMjPT++4X7jpIMWd6Byd/0RUk6ckR66y3p229LbhwAAACIToQshJzLZXtlbd1qISstLf/7nZBVpYr/ULNliwWwmjU94aokQ1ZSko1l//7AIevAAc96rM8/9+wNBgAAABCyUCK8Q1ZBatWSXn7Z2qL7066dfc6SJVLr1natJEOWZJsix8YGXvPlXe0aMKDgaYUAAAAoP6Kmu+Ajjzyibt26KSEhQcnJyYV6j9vt1v333686deqocuXK6tu3r1auXFmyA4UkT2Vnx46C761eXerRQ/rqK091yJu/fbJKOmSlpFjDi0DhyTtk+Ws7DwAAgPIrav54eOTIEZ133nm67rrrCv2exx9/XM8884xeeuklzZ07V1WqVFH//v116NChEhwpJE/IKkwlS5L27ZM+/dSzxsmbv32yEhKkNm2kli2LN05/1q6VunaVBg0KfI93yHrtNemdd0I/DgAAAESnqJkuOHbsWEnSxIkTC3W/2+3W+PHjde+992rw4MGSpDfffFO1a9fWJ598ogsuuKCkhgrZFL/0dP/tz3PbvFmaM8fOvTsNOvztk9W0qbR4cfHH6U9mpvTzz3a+bp3UoEHee7xD1tVX27qziy8umfEAAAAgukRNJStYa9as0datW9W3b99j15KSktSlSxf99NNPAd93+PBhZWZm+jwQvLFjpR9/lAqTZWfMkG65xc4PHMj7ur9KVknKvU+WP7lbttPCHQAAAI4yG7K2bt0qSapdu7bP9dq1ax97zZ9x48YpKSnp2COtoNZ4KDbv6tWBA74NMHJy7CGVXsg6csRzHig85b5OC3cAAAA4whqyxowZI5fLle9j2bJlpTqmu+66SxkZGcceGzZsKNXvL49yTxH0XjLnHV68pwtu3y61alUya7K8Q1ag8HTccdKUKdI//2nPqWQBAADAEdY1WaNHj9bll1+e7z2NGzcu0menpqZKktLT01WnTp1j19PT09WxY8eA74uPj1d8fHyRvhMe331na5SaNJG+/z7/e3OHrP37pcqVPc+vusrCTu7/WZz87XYH3s+qKLynCwYKWVWrSkOHSitWSPfeSyULAAAAHmENWSkpKUpJSSmRz27UqJFSU1M1Y8aMY6EqMzNTc+fODapDIYqmYkVraFGpUsH37tvnOY+JkQ4e9P2cV1/N+x7vqYPZ2aGdSliY6YK5x0ElCwAAAI6oWZO1fv16LVy4UOvXr1d2drYWLlyohQsXap/Xn9Bbtmypjz/+WJLkcrn0j3/8Q//85z81depU/fHHHxo+fLjq1q2rIUOGhOlXlB/B7JPlVLLuvNMqQoVZBucdqkJdRfLe9yrQZ+/ZI737rvTFFyUzBgAAAESvqGnhfv/992vSpEnHnnfq1EmSNGvWLPXq1UuStHz5cmVkZBy754477tD+/ft19dVXa8+ePerRo4emTZumSoUpr6BYnJCVmWnT77zXU+XmhKzq1fNO+8vJsc+oUMGm6DlKMmQNGCB17iz98kvgCtW6ddJFF0lJSdJHH+X/+wAAAFC+uNxu715uyC0zM1NJSUnKyMhQYmJiuIcTNbKzLXi43dLWrVKuJo8+pk+XFi2S/vY36eSTfV/btEmqX98+y3saX1aWTSWUpN27peTk0I5/82YLbykpvuvDHL/+akGsXj1p48bQfjcAAAAiU2GzQdRMF0R0iY21ypQk7dyZ/71//7s0erQ0dap0zjlWQXIE2iMrNjbvPaFUt650/PH+A5bkqXB5jwMAAACQCFkoQcGsy5KkWbOkjz+W1q/3XHM6/eUOWTExUuPGUtOmvvtqhcLnn0t9+0oPPRT4Hidk5eRIkydLb75J8wsAAACYqFmThehz4om2n5QzrS+Q+fMtoDgh5cABz2uBKlmStHp1aMaZ27p10owZ9hg40KYF5uaM9ehRa1UvSeedF7jyBQAAgPKDkIUSM3ly4e679FJp+XLP9ELvfbOckFWajSW898n688/8Q5Z3gKSSBQAAAInpgogATqhytkwrbCWrpBRmn6ycHDt6hyzauAMAAEAiZCEC5BeyAq3JkqQ+faSOHUM/bdA7ZAUKTi1b2jqsxx/3XKOSBQAAAImQhRL06qvW4vy66/K/L7+QVb26dOGF0lln5X3f4sXS77/73h8KhalkpabaNMezz/Zco5IFAAAAiTVZKEE5Obbf1ObNge/JyvKEmuOOs6P3mqymTQOv7XKqW6EON95rsgrz2RUq2H1UsgAAACARslCCatWyY377ZHkHqscek8aPlypVKtznl1TI8hbos7dulebNk2rUsL2yjh6lkgUAAABDyEKJKcw+WU7IqlBBSkqSXC7f1w8dsmvx8XnfW1Iha9w4acMG6Z13Alen5s6VhgyRunSRJkywMTq/FwAAAOUbIQslxgkd+VWyqlSx5hFZWXkDliQ9/bQ0Zow0YoT02mu+r5VkJetf/5LuvdczhTE3J3zFxtqaMQAAAMBByEKJcULWrl22PivGT5uV5GTp9tvtfO5c6YUXpGbNLOBI0p49dqxWLe97nb2zSiJk1a+f/+veIQsAAADwRndBlBgnZOXkSBkZBd+/caO1Rf/6a881J2QlJ+e9/7jjpDp1Qh90nnhCGjxY+uyzwPc4+2TFxkrTpkkffli43wgAAICyj0oWSkx8vNS5szWyOHTI/z27dtk+VzVrSgkJds27JXt+IWvmzFCO1mP+fGnqVGn2bGnKFKlv37z3eFeyrrxS2rJF+u0327cLAAAA5RuVLJSoBQuk//7XKk7+zJolnXyyNHx48CGrpDgt3DMypO++83+Pd8hy1obRwh0AAAASIQth5nQXrFIlckKW92bEgdZ7OdMFY2I80xVp4Q4AAACJkIUw27fPjlWrWtCSfPfOyi9k3Xyz1L27NGNG3tc+/1xatapoYypMyDrlFOnFF6Ubbiid/boAAAAQPQhZKFFjxkj16knPPuv/9YIqWf36SYMGSXXr5n3v4sXSnDlSerrv9blzpTPPtC6FReFMF5QCTwFs0UK69lobm1PJYrogAAAAJBpfoITt3y9t3ixt3Rr4dck3ZB086Gn5/vTTgT+7alU7OtUwh9Mq/vjjizbmwlSyvFHJAgAAgDdCFkpUrVp23LHD/+veIatWLatKJST435g4t6QkO+ZunV65sh0PHgx+vFLhQtaGDdKKFVJqKpUsAAAA+GK6IEqUU00KtD7KO2TFxNjeV1WrWsjKyZEOHw782c46LWfdlqO4IWvePOn+++08UHD6+GNr7f7QQ3bva69JrVoV7fsAAABQtlDJQolq186OixZJbnfeCtXAgbZHVs+eed+7cqXUsqVUu7b/6YaBKllvv23Hffv8f2dBXC7pmmuks86SUlL83+Pdwn3o0OA+HwAAAGUbIQslqnVrq1Dt2GFTAVNTfV8fONAejjFjpG3brELkVKgqVfL/2U7Iyl3J2rLFc56VJVWsGPy469b132zD4R2yAAAAAG9MF0SJSkjwdPlbtKjg+995R5owwQJZQXtkVa8uVavmaTzh8J5iWJQpg9dfL110kbRmTeB7vEPWL79IX3/tG+4AAABQflHJQonr3VtKS5Pi4vK+tny5Tek7/ngLZE6Hwf37Cw5ZI0bYI7dDhzznBw96Kl6F9cknFpjcbun886Wzz857j3fIuu026bvvpPfek4YNC+67AAAAUPYQslDiXnwx8GsXXij99pv01VfSgAGeDYkPHCg4ZAXirNF6/fW80xMLw+ku+N57Nt3QX8jKybFjTIynkkZ3QQAAAEhMF0SYeXcXlHw3JC5uyAr2fQ7vzYgDtXD3rmQ567LYJwsAAAASIQulaPfuvNWe4oSsLVus+vX3v/teL27IKsw+Wf36SU88YZ0FqWQBAADAGyELpaJdO6lGDWnpUt/r+/bZ0QlZznH/fqlFC2nQIKl9e/+f6XJZw4kZMzzT9yRrhiFJV18t/fln8GP1DlmBglPXrtLo0RbwnJBFJQsAAAASIQulxGk+kbvDoFPJqlrVjt6VrMsvlz77TLryyvw/0+32hDVJ+uknC3WrV0ubNgU3zuxs38BWmODEdEEAAAB4I2ShVDjVKO+QdeSIJ5g4Fazx46XNm6Xrriv4MytV8nQszL0hceXKdgy2hbv3eiwpcCVr7VoLc+vXM10QAAAAvghZKBVOyPrjD8817+qTE7JSUqQ6dSxAFVQZcrk8665yb0hc1JAVH2/jevVVex5oDM8+K3XrJj3/vHTZZdLTT0t/+1tw3wUAAICyiRbuKBXt2tnRu5IVFyfdfbcFIX97aLVrZxWjGTMs0PiTlCRt3+6pZG3cKJ17rjR3rj0PNmS5XBb4Bg+WmjcP3DzDu7vgGWcE9x0AAAAo2whZKBVt29px40Zp1y5rglGtmvTII773zZplmwF37mzVqUOHPFUuf5x1WU7I2rHDE7Ck4EOWIyXFHoF4hywAAADAG9MFUSqSkqSGDe3ce8pgbgsXSs88Y10DC7NPVvXqFtYOH7bnuddmBRuyduywhhs33JD/fU7IiomxBhs//CCtWxfcdwEAAKBsopKFUnPBBRaCatSw5/v2WZOLpCSpdm275nQX3LXLqlhS/iHrm29sip+juCFrzx5p0iQ7b9nSQtwll+S9z+lAGBsr/fvf0ssvS2PHSvffH9z3AQAAoOwhZKHUjBvn+/yHH2w90wknSL/8YteckLV5sx1dLs++V/54ByzJU/3q1k2aNs3zeYXlvUfWTTdJbdr4D1ne0wXZJwsAAADeCFkIm9wbEXufOyErKcmm5BWWU8mqVy//cBZI7hbugYKT93RBZ10WLdwBAAAgsSYLpezQIenHH20NlbMRsXfIcipPO3bYMb+pgpI0ZYo0YID0+OP23AlZTkOMYHlXsqTAwenss2164N/+RiULAAAAvqhkoVS1aGEb+P73v/mHLEkaNEiqVSv/z9u40ZpkVK/uuZaYaNMPr7xSOvlk6dprCz++wlayzjzTHpI0daodqWQBAABAopKFUta5sx0LCln160uffSZNmJD/5zkVK2ct1r33WjXriivsvbNmBTe+3JWswlSnqGQBAADAGyELpap7dzv++KP/kNW2rbR8ue9eV/lxphPm7ipYubIdDxwIbnyFnS64dq1trLxzpydkUckCAACAxHRBlLIePew4Z47UrJmdV63qeb1SJal5c0+L9ILk3ozY4YSsYFu49+olpafbXl59+wauTt12m/Thh9Lzz9t9lSt7qnQAAAAo3whZKFWdOlmQ2rlTSkmRRo3yBC9v99wjPf20hZmHHgr8eblD1lVXSRs2eAJPsCGrYkXpuONsLdeXX9pY/fFu4X7qqfYAAAAAJEIWSlnFihZgvv/emlqMGeP7+tGj0oMPSv/6lz132qMHknu64H//a9MNO3Wy58GGLEe1atLppwd+3TtkAQAAAN5Yk4VS570uK7eYGOmRRzzPC2rh7lSyYmIs+DhhKzXVjsGGrJ9/lm68UXr55fzvc6YzxsZK27dLv/4q/fVXcN8FAACAsolKFkrdOedINWtKbdpIW7dKNWpYhUuysFS5siccFRSyata06pdTUSpuyPrzT1tn1auXFBcnud3SiBF57/PejPidd6RbbpEuusjOAQAAUL4RslDqTjzRHj16WDXrww8teDkSEgofslwuT8DKyvK8r1cvadMm3323CsPZJ+vAAQtXsbH5h6zYWM/308IdAAAAEiELYeSvhbtkwWjnTjsvKGR58+4wWKuWp7V6MJwW7k53wuxsq2a5XL73eYcsWrgDAADAGyELYbF1q7RwoZ17t3CXfENXYULWbbdJS5ZIV17p+byiBCzJE7K8K2A5OXkbXFx4oVXjWrf27OlFJQsAAAASIQthMn2659xfJctRq1bBn/Xf/1rQ6d7dugImJ9u0wTvvtOOLLxY+dDnTBZ1KluS75stx1VWe819+sSOVLAAAAEiELISJ02FQ8jS9cDgha8oUqV69gj/LqXYdf7yUmWmVp8OHpWeftetPPmnhqzByTxeUCg5PrMkCAACAN0IWwqJRI+mEE6QtW+zc2xtvWGBJSyvcZ+XekDgmxncT4YMHCx+ynEqWdzXNX3jasMECWZ06rMkCAACAL0IWwsLlkubNs6DiXTWSpKZN8zaayI8Tsvbs8f38SpWkQ4eCa+M+erR0xRX23ldftWv+QtY550gLFkiffy61bSvdc4+NGwAAACBkIWxiY/MGLMnWV512mtSunaepRH6ckPXqq7Y+64wzpJtvts8ONmQlJ9vD7ZY++MDGmHvNmOTbXbBDB3sAAAAAEiELEej99y0YzZtXuPudkLVhgz2c6YeVK0u7dwe/IbFklbBzzw38ek6OHXM3xAAAAABiwj0AILf33gvu/txt3p3Q5VTJDhwo/Gf95z/WlfC77/K/z6lkxcTYfl/Ll0tr1hT+ewAAAFB2EbIQcZwOf4V19dXWsOKKK+x57pAVTCXryy+lxx+3KtqUKdI770h79+a9z3u64OzZUsuW0nnnBTduAAAAlE1MF0TE6dJF+uor/2uh/HFawDvdBZ3K1hdf2LS/444r/Hc73QUrVrTQtm+ftHJl3u6E3iHL6S5IC3cAAABIVLIQgV5/XRo1qvBrshxOyHIqWccfb23g4+ML/xlOFS0uLv/W7N4hy1mXRQt3AAAASFSyEIHq1JGeeabw92/aJN12mzRjhj13QlZReFey8qtQDR8ubdtmY12/PvB9AAAAKH8IWYh6WVm+zTKc6YLvvGN7WZ19tnTqqYX7LO9KllOh8hee7r/fc75pU+D7AAAAUP4QshD1vCtXBw9aQJJsTda779q0wWBDlnclq6BpgIW9DwAAAOUDa7IQ9RITPed793oqUEXpLuhMFyyokrV1qz2OHqXxBQAAAHxRyULUi4217n9790p79kgpKXa9KCHrzTelzExrmJFfeGrXTtqxQ/rjDyk1VfrHP6QaNYrzKwAAAFBWRE0l65FHHlG3bt2UkJCg5Ny7zwZw+eWXy+Vy+TwGDBhQsgNFWDhBaOBAye2286KErAYNLEAlJ0tPPCG9/bbUrFne+3Jy7BgbK9WvLz31lHTffUUePgAAAMqQqKlkHTlyROedd566du2q119/vdDvGzBggCZMmHDseXww/bwRNZyQtXKl7Y0lSQkJdgwmZHk7++zArznrr2Ki5q8pAAAAUFqiJmSNHTtWkjRx4sSg3hcfH6/U1NQSGBEiXVEqWc88Y1MOr7jCpgwG4r1P1tGjtj7L7c7/PQAAACgfyvzfw3/33Xc67rjj1KJFC1133XXauXNnvvcfPnxYmZmZPg9Evv/8x47t2nmuFSVkPf209MAD1pb9hx+kTz6xAJWb93TBdessXLVuXaShAwAAoIwp0yFrwIABevPNNzVjxgw99thjmj17tk4//XRl59Nre9y4cUpKSjr2SKM0ERWc6YLe7dwvvlj6809p/PjCf473Plm33mpTBhcsyHufdyWL7oIAAADwFtaQNWbMmDyNKXI/li1bVuTPv+CCC3TWWWepXbt2GjJkiD7//HPNnz9f3333XcD33HXXXcrIyDj22LBhQ5G/H6UnI8OO3j1RatWSWrWSatcu/OcUdp8sfyGLfbIAAAAghXlN1ujRo3X55Zfne0/jxo1D9n2NGzdWrVq1tGrVKvXp08fvPfHx8TTHiELOUr3PPy/e5xR2n6wrr7R7q1SRDh0KfB8AAADKn7CGrJSUFKU4mxqVgo0bN2rnzp2qU6dOqX0nSscll0j//a90552ea6tXS5MmSTVrSjffXLjP8VfJ8heeXn7Zc75jhx3dblurRcdBAACA8i1q/ji4fv16LVy4UOvXr1d2drYWLlyohQsXat++fcfuadmypT7++GNJ0r59+3T77bfr559/1tq1azVjxgwNHjxYTZs2Vf/+/cP1M1BCrrlGWrtWGjfOc23dOunhh6VXXin85ziVrIKmC3qr4PVXFUwZBAAAQNS0cL///vs1adKkY887deokSZo1a5Z69eolSVq+fLky/rc4JzY2VosWLdKkSZO0Z88e1a1bV/369dPDDz/MdMAyqkED3+fBdhd0u30bXwSaLuh22xqwmBipWjXPfc69cXHBjx0AAABlR9SErIkTJxa4R5bb7T52XrlyZX399dclPCpEsqK0cF+wwKpZNWoErmQdPChVr27ne/dK8fHSyJEWtpgqCAAAgKgJWUCwgg1ZLpfUubPn+Q03SIMHS926+d7n7JElWaiqWDG4KYkAAAAo2whZKLOKUsnydsYZ/q97V7a8pwoCAAAAEiELZZgTso4csWBUUCDav1969lnPRsQul//7/IWsPXtsPVb16gQvAACA8o4VJCiznJAlefayys+ePdJdd0ljxljAWrJEmj7duhZ68xeyatWSUlKkrVuLO2oAAABEuyKFrIceekgHDhzIc/3gwYN66KGHij0oIBQSEqR586Q//pAqVSr4fu/OgpL0r39J/fpJU6b43ucdspxqV2HbvQMAAKDsK1LIGjt2rM/+VI4DBw5o7NixxR4UEAoxMdJJJ0lt2xZuCp/3HllS4ODkPPf+zPw2LgYAAED5UqQ1WW63Wy4/C1Z+//131ahRo9iDAsLBqWQ5ISvQPlmVKkkXXOC7Zsu5l0oWAAAAggpZ1atXl8vlksvlUvPmzX2CVnZ2tvbt26drr7025IMEiurFF6Vt22wfq7p187+3sJWsmjWld9/1vUYlCwAAAI6gQtb48ePldrt15ZVXauzYsUpKSjr2WsWKFdWwYUN17do15IMEiuqJJ6S//rK1VQWFrNxrsoIJTlSyAAAA4AgqZF122WWSpEaNGql79+6qUIEO8IhsweyVVdjpgm63XYuNtXVfEpUsAAAAeBSp8UW1atW0dOnSY88//fRTDRkyRHfffbeOOH9SBSJAMCGrfXtp9mxp4kR7Hmi64PLlFsRq1fJcO/dcafhwKTm5uCMGAABAtCtSyLrmmmu0YsUKSdJff/2lYcOGKSEhQR988IHuuOOOkA4QKI5gQlZSknTqqZIz4/Wss6Qnn5QGDfK9z193wWeekSZNkho2LPaQAQAAEOWKFLJWrFihjh07SpI++OAD9ezZU5MnT9bEiRP14YcfhnJ8QLE4IcvPtm4F6tlTuuUW6W9/873uL2QBAAAAjiK3cM/JyZEkffvttxr0v7/qT0tL044dO0I3OqCYgqlkrVwpTZsmHX+8NHhw4Pv8haysLHvExxO+AAAAyrsiVbJOPPFE/fOf/9Rbb72l2bNna+DAgZKkNWvWqHbt2iEdIFAc+YWsn3+W2rSxYCVJCxZIN90kPf20Pd+0SfrpJ2nVKt/3+QtZnTpJVarYmi4AAACUb0UKWePHj9evv/6qG2+8Uffcc4+aNm0qSZoyZYq6desW0gECxXH//dKcOdKFF+Z9beBA6c8/pdNPt+e5uwtOnCh16yY99pjv+/yFrEBNMgAAAFD+FGm6YPv27fXHH3/kuf7vf/9bscyVQgRp1Srwa06YcgTajDh3W3Z/IStQu3cAAACUP8Xa6OqXX3451sq9devWOuGEE0IyKKA0vPiidPbZUpcu9ryw+2RVr26dB1NTPdeoZAEAAMBRpJC1bds2DRs2TLNnz1by/zYG2rNnj3r37q333ntPKSkpoRwjUGTz5kn//a+tverf3/c1519Tp1eLU8mKi7NjoODUqpX06ae+16hkAQAAwFGkNVmjRo3Svn37tGTJEu3atUu7du3S4sWLlZmZqZtuuinUYwSK7NtvpdGjpf/8J+9rzmbC27fbsbCVLH+oZAEAAMBRpErWtGnT9O2336qV14KX1q1b6/nnn1e/fv1CNjiguAJ1F5wzR+rd284zMy1gFXZNlj9UsgAAAOAoUsjKyclRnDOnyktcXNyx/bOASBAoZK1aZcGqdWtp4UKbInjBBdaKvW5duydQdeqbb6wzYefO1gZekk49VapRQ6pXr8R+CgAAAKJEkULWaaedpptvvlnvvvuu6v7vT6SbNm3SLbfcoj59+oR0gEBxJCTYMXfI+usvO3br5lmD1bixPRwnnig9/LDUvLnve48e9TwcY8eGdtwAAACIXkUKWc8995zOOussNWzYUGlpaZKkDRs2qG3btnr77bdDOkCgOAJVslavtmOTJoHf26mTPXLz18IdAAAAcBQpZKWlpenXX3/Vt99+q2XLlkmSWrVqpb59+4Z0cEBxBQpZTiXrq6+kxYulq6+26YHLl1uw6tgx8GfmF7LcbsnlKvawAQAAEMWC6i44c+ZMtW7dWpmZmXK5XPr73/+uUaNGadSoUTrppJPUpk0b/fDDDyU1ViBoBVWy1q2T3nnHgtbbb0tXXil98om9lpEh/f67tGKF73v9hazzz7dw9dJLIf8JAAAAiDJBhazx48dr5MiRSkxMzPNaUlKSrrnmGj355JMhGxxQXJ06WaOKCRM81/bvl9LT7dzZiHj79rzdBb/91ipaI0b4fmZ+lSxauAMAACCokPX7779rwIABAV/v16+ffvnll2IPCgiVGjWkv//dmlg4MjKsfXu7dlKzZnZtxw7PPllOI4xAbdmdBpreISuYdu8AAAAo24IKWenp6X5btzsqVKig7c7OrkCEqltXmjlTWrTId0Pi3JsRB2rhftxxUp8+vk0xnMBFJQsAAABBNb6oV6+eFi9erKZNm/p9fdGiRapTp05IBgaEwv79tubqyBHpxhvzvp6SYscdO6SkJDt3/h4hUHXqtNPs4Y1KFgAAABxBVbLOOOMM3XfffTp06FCe1w4ePKgHHnhAgwYNCtnggOLav1+65hpp1CjPND/v/bKdStaOHXnXZAWaLuhPMPcCAACgbAuqknXvvffqo48+UvPmzXXjjTeqRYsWkqRly5bp+eefV3Z2tu65554SGShQFE53QUk6dMg2Jz7rLOm336QXX5Tq1bPXtm+XUlPtvKDpgv4Ecy8AAADKtqBCVu3atTVnzhxdd911uuuuu+R2uyVJLpdL/fv31/PPP6/atWuXyECBovAOWfv2WchatUravFmqWtWaX2zZItWsKc2bZ50ETzrJ7g80BXDCBOnWW6Uzz5TefNOutW0rDRggNW5c8r8JAAAAkS3ozYgbNGigL7/8Urt379aqVavkdrvVrFkzVa9evSTGBxRLhQoWfP76S3rrLemWW6Q1a+y1xo2tauVUsLp3931vWpo0Zoxn3Zbj4EFpzx6biui48Ub/a74AAABQ/gQdshzVq1fXSc5f+QMR7J57rEI1bpx0+unWBKNCBal+/fzf17ChvSe3/PbJAgAAAIocsoBoMXy49Nhj0ooVnmpTw4ae6YAPPSQtXy517mzBq2dPKb9Zr/72yQIAAAAcQXUXBKJRhQrSww9L8fEWtCTftVOffipNniyNHi0NGyYtWWLXjxyx9VurVvl+nr9K1kMP2Rqv228vud8BAACA6EDIQrlw7rnS6tXS5Zfbc++QlXvNlbNP1sqVUrNmUteuvq/7C1lHj9oarYMHQzpsAAAARCFCFsqFmBhr156WJp16qtSpk+c1Z68sR0H7ZDnTBWO8/utx7qWFOwAAAFiThXLlmmvs4S1QyAq091XdutIpp0hNm3quBWr3DgAAgPKHkIVyL3fIcqYLBgpOl15qD29UsgAAAOBguiDKvdxrsgqaLugPlSwAAAA4CFko9wqqZBWmOhXMvQAAACjbCFko9wYMkLZuld56S5owwVPZcipZOTmS2+25f9w4a6Lx4IOea/XrS3/7m9SiRakNGwAAABGKNVko96pUsccll+S9PmqUhS23W3K57PqePdLmzVJmpufec8+1BwAAAEDIAgKoUkV65pm81/3tkwUAAAA4mC6Ics/tlm64QUpIsCmDBa2rCjZkzZplmx9Pm1a8cQIAACA6ELJQ7rlc0osvSgcPSsOHe9Zfud3Sli3Sxo2eDYglz7l3yPrgA6l2bWnYsLyf/8470po10j33lNxvAAAAQOQgZAGSkpI85957XtWtK6WlSbt3e153KlkxXv/1HDkibdsm7dqV97NPPNGO9euHdswAAACITIQsQL4hy2lw4V2p8t7/yt90wfxauNeubcdt24o/TgAAAEQ+QhYg35DlcLl8q1qOunWldu2k1FTPtUAbF7vd0m+/2fmWLaEbLwAAACIX3QUBSYmJ/q/HxlrA8g5P991nD2+BKlm7dkkPP2znGzeGZqwAAACIbFSyAPmvZEn5TwP0FqiStXat5zw7W9q/3/f1W26Rbryx0MMEAABAFCBkASo4ZOUOT4Huyx3G1q3zfe69LmvXLmn8eOn555lKCAAAUJYQsgBJY8fatL433vC97q9CdeutUvPm0qRJnmvJydIJJ0gtW/q+37uS9Z//SDVrep57B64dO4ozegAAAEQS1mQBkpo2le69N+/14cNt/yzvStfmzdLKlVJGhuda167SL7/kfb9TybrzTum883xfa9lSatVKWrpUSk+3ZhoAAACIfoQsIB/jx+e95q+FeyBOJatBA/+v16njCVkAAAAoG5guCATJ32bEgTiVrCNHpA8/zFvtcvbQImQBAACUHYQsIB/79km7d0tZWZ5rOTl29K5kLVwoNW4s9ejh+/5775X++U/bK+vcc33Xcf3739K779o5IQsAAKDsIGQB+ejYUapRQ5o3z3PN33TBo0elNWuk9et933/uudI990idOtlz7zA1e7Ydx42zBwAAAMoGQhaQD3+t2f1NF3QCV6D9tPxNC3Q2J+7QoXBTDwEAABAdaHwB5MPfPll16khNmvh2HPR335o10rJlUosWnpDl3bZ90yY71qsX+nEDAAAgfPj7cyAf/vbJev11adUq6ZxzPNf8haypU6UzzpDuuEM67ji75lSyDh/27I31r39JI0eWzPgBAABQ+ghZQD78TRf0x990QaezYMOGnkrWrl3WRGPzZs99774rTZjgaagBAACA6EbIAvLhr5Llj79KlhOyGjSw5hnOZ23f7pkqWL++HbOzLYA57r5buvpq6fffizd+AAAAlL6oCFlr167ViBEj1KhRI1WuXFlNmjTRAw88oCNHjuT7vkOHDumGG25QzZo1VbVqVQ0dOlTp9MpGEPyFp8svt26BM2d6rsXH29qr5s0915yNiBs2tMYWr7wiffCBlJhogapCBalRI6l6dbvP+1/NceOkV1+17oYAAACILlHR+GLZsmXKycnRyy+/rKZNm2rx4sUaOXKk9u/fryeeeCLg+2655RZ98cUX+uCDD5SUlKQbb7xR55xzjn788cdSHD2iWb9+FoS8m1MsX277Yu3d67lWr541ufDmXcmSpCuv9Lx21lm2LmvfPqlLF9uLKz1datNGcrtL5KcAAACglERFyBowYIAGDBhw7Hnjxo21fPlyvfjiiwFDVkZGhl5//XVNnjxZp512miRpwoQJatWqlX7++WedcsoppTJ2RLcHH8x7zd8+Wbnt2yft3GnnTsjKLSbGqlqpqRbQnEpW7mLroUNSpUpBDRsAAABhFBXTBf3JyMhQjRo1Ar7+yy+/KCsrS3379j12rWXLljr++OP1008/BXzf4cOHlZmZ6fMAvDkNKvLb28qpYiUne1q9L1smTZki/fab771OU4ytW+3oTDN0eDfJAAAAQOSLypC1atUqPfvss7rmmmsC3rN161ZVrFhRycnJPtdr166trc6fZv0YN26ckpKSjj3S0tJCNWxEoexsm9bnvSbLXyUrM1Nq105q1cq6B9apI735prVnd7z2mnTeedLkydJ119n5woV5NyrOHbKcTYsBAAAQHcIassaMGSOXy5XvY1muhS6bNm3SgAEDdN5552lkCWwudNdddykjI+PYY8OGDSH/DkSPwYNtqt6kSZ5r/kKWyyUtXmzVqqNHrZvgpZdK3n8P4L1X1rRpVtU6cEC6/37rOPjoo/Z67pDldCIEAABAdAjrmqzRo0fr8ssvz/eexo0bHzvfvHmzevfurW7duumVV17J932pqak6cuSI9uzZ41PNSk9PV2pqasD3xcfHKz4+vlDjR9nnb58sfyGrgtd/SVlZUuXKeT/Le1qgMwWwXj2pZk3f+7Zt831OJQsAACC6hDVkpaSkKCUlpVD3btq0Sb1791bnzp01YcIExeS3IEZS586dFRcXpxkzZmjo0KGSpOXLl2v9+vXq2rVrsceO8sHfPlm1allg8m5G4R2y6taV9u+3FuxDhtj9kidk/fmn5Ow+UKdO3u988knpoYekxx6Tvv/e8z4AAABEh6joLrhp0yb16tVLDRo00BNPPKHt27cfe82pSm3atEl9+vTRm2++qZNPPllJSUkaMWKEbr31VtWoUUOJiYkaNWqUunbtSmdBFJq/fbJmz857X1ycNGqUNGGCdRaUpJEjbbNhpzGmM13Qmf5Xu7ZUsaK0ZYv0z39aBcwp0FatKj38cOh/DwAAAEpeVISs6dOna9WqVVq1apXq16/v85r7f5sKZWVlafny5Tpw4MCx15566inFxMRo6NChOnz4sPr3768XXnihVMeO6OZvumAgzzwjPfWU7aM1f74Fs/79Pa/nrkg5e28dPSq98IIFtZdftvVdAAAAiF4ut5utT/OTmZmppKQkZWRkKDExMdzDQSkbPlx66y3p8cel228v3mcdOSJ5L/c780xp6lTrXuhMPVy+3CpijRtb8HK5LODltycXAAAASkdhs0FUtnAHSou/StaQIVKPHhaIglGxoq3TcpYEOpWs+HjbT0uS5syRvvlG+vxzaccOuychoXCVNAAAAESGqJguCITLCSdIu3dLTZt6rs2bZ+uoDh4M/vOuusoeOTlWwXLUri3t2SPNnWvPGza0NvDp6Rawtm3z3yQDAAAAkYdKFpCPG2+UPv5YOvdcz7WcHDsWZwpfTIxvm3dnvZZ3yIqNlZzdBmjjDgAAED0IWUCQnKl7Bewi4Neff0r/+Y/0++++150w9dtvdmzY0I5Onxc2JAYAAIgeTBcEguRvM+LCevFF6bnn7HzrVk8FK3fnQSdkOeu2qGQBAABEDypZQD7GjLHmF3fc4blWnJBVtarn3Hsz4wcesEYXLVrYcypZAAAA0YtKFlCA7GzfzYiLE7K8uwR6d/2sWVNyuyVnmzcqWQAAANGLkAXkwwlS3iErMdHWY1Uown891at7znNvOuxySevXS3v3SlWq2LXWraWePaWWLYP/LgAAAIQHIQvIh799sjZvLvrn3XCDNH26dN55vtc3b5YeecTC3Msve64PGmQPAAAARA9CFpAPJ2R5V7KKIzFRmjkz7/WsLOmFF2zD4pdeylvlAgAAQPSg8QWQD3/TBUuC013wyBFp/Pi8rx896tmfCwAAAJGNkAXkI/d0wZwcqW9fqV8/KTMzdN/j3Wlwzhzf19q1k+LjbY8tAAAARD6mCwL5aNRI+vvfpTZt7Hl2tjRjhue8JFSu7Pvc5bJwt3Gj1LZtyXwnAAAAQodKFpCP886TvvlGuv12e+4drGJC/F/PWWfZ8eabfa+zVxYAAEB0oZIFBME7ZBVln6z8TJkipad7QpWDvbIAAACiC5UsIAjezSdCHbLi4vIGLIlKFgAAQLQhZAH5eOstKSlJOv98e16SlaxAqGQBAABEF0IWkI+jR62L4L599jwcISstzY4bNpTO9wEAAKB4WJMF5CP3ZsQ5OXYtOzv0jS8CadpU6tGDzoIAAADRgpAF5CP3PlkpKVJWVumOoUkT6YcfSvc7AQAAUHRMFwTy4UwJdCpZAAAAQEEIWUA+cleywunIEenAgXCPAgAAAAUhZAH5yL0mKz1dGjxYuuii0h3HzTdLlStLzzxTut8LAACA4LEmC8hHzZpSt25S69b2fO9eaepUqVq10h1HUpI13Vizxvf6li3SsmVSr16Sy1W6YwIAAIB/hCwgH927Sz/+6HnuTBssrfbtjkaN7Jg7ZLVvL+3YIc2cKfXuXbpjAgAAgH9MFwSCEEkhKzvbApYkzZhRuuMBAABAYIQsIAjhDlnr1nnGsHq15/UuXUp3PAAAAAiMkAXkY/58qV49qWtXe+4EnNLaiNhRv7414cjKkjZvtmu//27Hk06SzjyzdMcDAACAwAhZQD6OHrVQk55uz8NVyYqNlY4/3s6dKYOLFtmxQ4fSHQsAAADyR+MLIB+598nKybFjaYcsSTrrLFuDlZhoz51KVocOkttNd0EAAIBIQcgC8pF7n6wTT7RNgZ2wVZqeesr3+aRJ0hNPSKNGSe+/L/3wQ+mPCQAAAHkxXRDIh1OxckKWyyXFxUnx8eEbk6N6dal/fzt3pjMCAAAg/AhZQD5yTxcMN+/GF5KUkmLH7dvDMx4AAADkRcgC8pF7uuCff0oXXijdeWfpj+W336RKlaSTT5Y+/VS69VZp8WJ7bc8eC2AAAAAIP0IWkI/Kla2xRLt29nzLFum996Qvvyz9sdSvb2vBNm+WPvzQ1mgtXOhpJ+9sTAwAAIDwovEFkI+0NAsyjnC1cJekWrWkKlWk/fulzz6za506STVr2nTB7dulOnVKf1wAAADwRSULCEI4Q5bLJTVqZOd79tixfXsLXxLrsgAAACIFIQsIQjhDluQJWZKUkCA1aSJ16yb16WNTGwEAABB+TBcE8rF7tzWaOHpUWrUqskJW27Y2jtdeC89YAAAA4B8hCyjAqlV2zM72bEIcCSGrQ4fwjAEAAAD5Y7ogkI8KXn8NkZ3tqWTFhOm/nBNP9Jy3b+/7mttdumMBAACAf4QsIB/eFaujR6XBg20K4eefh2c8PXpYNW3TJumii+zaW29Zh8Fhw8IzJgAAAPhiuiCQD+9K1tGjUlyclJwctuFIsi6Ddet6nsfFSbt2Sdu2hW9MAAAA8KCSBeQj93TBSJSSYkdauAMAAEQGQhaQD++1V0ePSj/+KI0cKT37bPjGlBshCwAAILIQsoACtGwptWhh0/SWL7eW6V9/He5ReTgha+dOT/dDAAAAhA9rsoACLF3qOQ/3Pln+1Kplx5wcW5vlPAcAAEB4UMkCghCJIcu7GQdTBgEAAMKPShYQhEgMWZLUs6d04IBNaQQAAEB4EbKAAvTqJe3YIX3ySeSGrE8+CfcIAAAA4CBkAQVYutT2oDpwwNNYIoaJtgAAAAiAPyoCBXD2ysrOjtxKlsPtDvcIAAAAQMgCCuAEqqNHpWuukTZulMaPD+uQ8njySalGDemWW8I9EgAAADBdECiAdyWralV7RBqXS9q9W0pPD/dIAAAAQCULKIATso4eDe848uNsSEwLdwAAgPAjZAEF8J4u+NVX0s03S1OmhHdMuRGyAAAAIgchCyhAnTpSWppt+jt7tvTMM9KsWeEela9atexIyAIAAAg/QhZQgJkzpfXrpaQk6fnn7Vrz5uEdU25OJWvHDv8dBr/4Qvryy9IdEwAAQHlF4wugEHbulAYPlvbtk3r3lq6/Ptwj8uWErKwsKTPTAqFj61Zp0CA7P3RIio8v/fEBAACUJ4QsoABHj0rDhkl//SU1aiR98IFNHYwklStLXbta58NDh3xD1oIFnvMdO6R69Up/fAAAAOUJIQsoQPfu0rx5dv7pp1LNmuEdTyBz5vi/7oxdsoocIQsAAKBksSYLKMApp9gUuylTpHbtwj2a4M2d6zl3OiUCAACg5BCygAKMH29d+4YODfdICid344vYWAuJCxZIbdqE/vt27JByckL/uQAAANGKkAUUwOWSqlUL9ygKduedUvXq0uOP+17/8ktrhtGxY+i/c8ECa7px+eWh/2wAAIBoRcgCyoiKFaU9e6SFC/2/Fhvrv717cTz6qB3feiu0nwsAABDNoiJkrV27ViNGjFCjRo1UuXJlNWnSRA888ICOHDmS7/t69eoll8vl87j22mtLadRA6TrzTDtOnSrt32/n2dl2fOwxKTlZGj06tN+ZlRXazwMAACgLoqK74LJly5STk6OXX35ZTZs21eLFizVy5Ejt379fTzzxRL7vHTlypB566KFjzxMSEkp6uEBYnHSS1KSJtHq1Ba0LL5S6dbOW7i1bShkZtn4qlLxDltttUysBAADKu6ioZA0YMEATJkxQv3791LhxY5111lm67bbb9NFHHxX43oSEBKWmph57JCYmlsKIgdLnckkXXWTnkydLBw9Kv/4qLVpkIUuyFu6h5HRbrFPH9hMDAABAlIQsfzIyMlSjRo0C73vnnXdUq1YttW3bVnfddZcOHDiQ7/2HDx9WZmamzwOIFhdeaMdp06QZMyz41K4tdepk10Mdsv79b6tgbd4ceRs0AwAAhEtUTBfMbdWqVXr22WcLnCp40UUXqUGDBqpbt64WLVqkO++8U8uXL8+3AjZu3DiNHTs21EMGSkWrVtZFcOFC6Y477FqXLlKtWnYe6umCAAAAyMvldoe631jhjRkzRo899li+9yxdulQtnblOkjZt2qSePXuqV69eeu2114L6vpkzZ6pPnz5atWqVmjRp4veew4cP6/Dhw8eeZ2ZmKi0tTRkZGUw1RFR4+22rLE2dKv34o/TII9LZZ0utW1vzi927Q/t9hw7ZPmJJSRL/iQAAgLIsMzNTSUlJBWaDsIas7du3a2cB85caN26sihUrSpI2b96sXr166ZRTTtHEiRMVExPcbMf9+/eratWqmjZtmvr371+o9xT2HyQQaRo1ktaulb791tZO1a5t17OypAohqGFv2GDTEJ3/hN94Q7riiuJ/LgAAQKQqbDYI63TBlJQUpaSkFOreTZs2qXfv3urcubMmTJgQdMCSpIX/20CoTp06Qb8XiCbbtlnAcrms62BCgtS5s00bPHgwNJsrb97su8Zr+/bifyYAAEBZEBVrsjZt2qRevXqpQYMGeuKJJ7Td609zqampx+7p06eP3nzzTZ188slavXq1Jk+erDPOOEM1a9bUokWLdMstt+jUU09V+/btw/VTgFKxf780YICFLecvWRYsCO13bN7s+5yQBQAAYKIiZE2fPl2rVq3SqlWrVL9+fZ/XnNmOWVlZWr58+bHugRUrVtS3336r8ePHa//+/UpLS9PQoUN17733lvr4gdJWt650wglSIWfFFknukEVTDQAAABPWNVnRgDVZKGtCtWnwPfdIjz4qVapkzS8GDpQ+/7z4nwsAABCpCpsNonafLADBGTHCOgBOmBCaz3MqWR062JHpggAAAIaQBZQTWVlSZmbopvURsgAAAPyLijVZAIqvZk07FrBrQqE1aiS1aSP17CkdPiwdf3xoPhcAACDaEbKAcqJWLTsWNWSlp0vx8bahsSS99JLntYsuyv+9mZnSjBnS6afbGi4AAICyjOmCQDnhVLKKMl3w4oul1FTpvfeK9t2XXy6dc450111Fez8AAEA0IWQB5URxpgs2bGjHQHttHTworV8v/W8HhTw+/tiOb70V/HcDAABEG0IWUE4UJ2SdeKIdnZD144/2eQMH2vMuXaQGDaT//tf/+zt1suPrrwf/3QAAANGGNVlAOVG3rnTSSVLTpsG9b/p0adgwO1+82KpVmzdLu3ZJe/fadWe9V6AOg1u32rFeveDHDQAAEG0IWUA50bKlNG9e8O9btcrav0tSdrb0++/Spk32vG5dO6ak2NFfyDp61JpmSIQsAABQPjBdEEC+1q71fT5/vmePrNwhy19TjfR0KSfHzs89V3K7S2SYAAAAEYOQBSBfTsiqXt2OCxYEDln+Klk7d0qxsXY+Z45niiEAAEBZRcgCypFTT5USE4ObNrhmjR2vukq64QZp6NDgQlb79jZl0AlazvosAACAsoqQBZQj+/dbJSmYvbKcStZFF0nPPScNHhxcyHI0bmxHQhYAACjraHwBlCPBtnHfv98TnJy9siSpTRspLk5KS7PnLVrYhsNt2wb+rNRUaeVKQhYAACj7CFlAORJsyMrIkLp2tXbtycnWvv2336S775Y6d/bc1769NGGC/8944AHpl1+sK6EkbdlS5OEDAABEBaYLAuWIs59VYacL1q1rzSqWLbPnzzwj9eghPf544b/zxx+lL75gTRYAACg/CFlAORJsJSu3E0+04/z5eV87eFBav96zp5bD2VPrhBOkhARrggEAAFCWEbKAcsQJWYWtZOXe08oJWWvWWAMMb/XqSQ0aSCtW+F53QtYzz9gar3//O7gxAwAARBtCFlCONGoknXSS1KRJ4e6/+GLrCjhlij1PTva8NmeO773+NiTeu9ezL5bTJAMAAKCso/EFUI4MGmSPwlq50qpWcXGea3FxNiWweXPfe1NSrIrl3cbdqWJVq2YPAACA8oBKFoCAnI2IGzXyXPvpJ5sq+Nprvvf62yvLCVn16llF66yzpC5dpOzskhszAABAuFHJAuDX3r2eBhkNGniud+4sffJJ3vsDTResVs1CVkKCdRnMybEglppaYkMHAAAIKypZQDly8KBVpRITrQlFftats2P16lJSUsGf7a+SNWSIlJkpffmltXB37qGNOwAAKMsIWUA5UqmStHmzb5UqkLVr7eg9VTA/zh5c3iHLUbGiHZ3qVaCQlZ4uLVxYuO8DAACIVIQsoBxxuQrfxt1Zj9WwYeE+u1Mn6YorpD59At9Tp44dt2zx//rJJ9vn/PFH4b4TAAAgEhGygHLGmbK3YUP+9yUnS6ecInXsWLjP7dVLeuMN6aqrPNeGD5cGDpR++82e51fJ2rrVNjOWpK++Ktx3AgAARCJCFlDOdO1qx2nT8r/v0kutk+B99xX9u2bNsvVYWVn2PL+Q5T1NcPPmwn/H119Ljz6ad+NkAACAcCFkAeXM4MF2nDrVOv2FUna29Pnn0qFDdu5MC6xXz46pqVLVqv6/d8AA6f/+z84XLy78d55+unTPPdKHHxZv7AAAAKFCyALKmdNOs6CzebP0yy+B7yvKXlannSadeab0wQfStm32GTExUu3a9vqoUdZ049ln/b+/Rw87BhOyzjvPjitWBD9eAACAkkDIAsqZ+HhbK3X11baHlT/p6daJsEkTq0oVVr9+dnz+ec+Uv9RUqcL/duSLKeD/4rRubQGwQQNrN+/4809bIzZ2bN73dO5sR7oSAgCASEHIAsqh55+XXn5ZatnS/+sffSQdPWp7ZFWqVPjPveoqKS5OmjvXpiNKnqmC+fngA6tivfOO7as1d65UubLn9TFjpIwM6cEHfd939KgnZOVXlQMAAChNhCwAefznP3YcNiy499Wu7Zm+99BDdqxb1/P64cM2nfCkk3w3Q/7mG+nHH6WVK63NfG7eLd+dDoSSNHSodP75dv7XX9Lu3cGNF4B/U6dKaWnWvAYAEDxCFlBOZWdLc+ZYuPG2ZYs0e7adOwEmGDfc4Pvcu5JVsaI0Y4a0YIFNSXQ4f5Dr3dtzzbtb4D33eM69x7tggbRrl+f5r78GP14AeX3wgf2lxdKl4R4JAEQnQhZQTr3wgtS9u3T//b7Xp0yxgHPKKbY2Klhdu0odOtj5E09Izzzjec3lytvGfcMGafVqW6/1t79JP/wgtWnju6nxkCHSLbfY+X//63n/5s32mQMG2DWmDAKhsWOHVZsTEsI9EgCIToQsoJw64ww7zp7tO82uqFMFHS6Xp5o1Z44UG+v7ep06dnSmAH73nR07d5YSE+3x55+2gbF3NatHD/vsHTvsuVO1atFCuvZa6V//kvr3L9qYAfhy/hLE6QwKAAgOIQsop5o0sYpRdrb0/vt2beNGT6Xo3HOL/tkXXWQBa8qUvK/lrmTlnirYooUFsz17rFL1/vvS999be/jduz1jdUJW586299edd3oqaJJVx046SXr99fzHuny5dNttnvAGwNOt8+mnwzoMAIhahCygHLvwQjuOGmUVrBo1pHffle6+W6pfv+ifW6WKTRv018Qid8j6/ns7OiGrUiWpWTM7X7RIuu46qWdPa4qRlOT5HCdknXCC/zE88oit2brtNtubK5DHH7dNkK+6qnC/DSjrvPfI+/rr8I0DAKIZIQsox+64w6pOR49a4HrvPemCCyyglBTvkJWTY2vC4uM9GxFLUtu2dnz/fateVakiderked3t9qy/clq4r11rQXHlSmn7dmnyZLu+Z4/0xhuBx3PddXb89FNp1ari/jog+uWu6h49Gp5xAEA0I2QB5VhcnPTmm7YxcU6O7UO1b1/JfmedOrbhsGTNLi68UPrkE881yROyJk2yY9eutqHx/PkWxv7+d1t/dcIJUseOds9tt9k6sk8+kT7/3NrFx8fba+PHB/6D4oknetanlWS4BKKFU2V2MJUWAIJHyALKudhY6aWXpLFjbb8q77BTEq680qbvvfqqPY+L83QHdDghy/G3v9kxMdFauP/4o/Tcc1bNcqYQem9KfMUVNlXw88+lWrWsyuVMS3Ts2eNpvvHAA3Z86y1byxWI9zQqoKyKj/dtfOO93QIAoHAIWQDkctm0vZYtS/67Ygrxf3XatbOHwwlZzZtbaDp0KO+eWN4hy3net6+FuYULrXGGtxdftBb1Y8dKJ58snX66hSh/1axDhywINmzIvkEo+1q2tKnDzl92ELIAIHiELAARp3lzWyMlWaWrSxc7d7k8a7dmzvR9jxOyVq2SMjI814cM8e06KNnUwRdflLKyLDhJnmrWm29Kf/3ludftlq65xhoAbNxoGzQHU9HybkMPRBOnfTshCwCCR8gCEJGcVvKdO/tuiNq9ux3vuUeaO9dzvWZNz3nXrv7DzRdfWLgaP942Qa5VyzMtqksXq1b16mWVK8dTT1nwio2VWrWyToS59/4KZNIk69L4zTeea1OmSDNmeJ7TbAORZv9++4sEQhYAFF2FcA8AAPy54AKbtnTwoO91p6olWcXLW7t20h9/WMXLu318To5tWDxpknTkiOf6NddYy3jHhx/6Brq335ZGj7bzJ5+UbryxcNMdHYMGSS+8YOHtgQds2uPFF1sA/O9/pSVLrOnI009L119f+M8FStLIkdap8667rHqbkhLuEQFA9CFkAYhIcXG2mXBu3bpZUElNlapX933tzTetSvXww77XY2Kkyy+3v5mfP1+aN8/C1A03+N7nHbAk6dFH7XjllbaXmHdwW7HCvu+SSzxr2bKypO++s2pbQoK1nu/Y0b7vwQft/W63NHSoVei+/damLo4aZb/l/PMDV8mWLJGmTpXS0iysNWgQ8B8dUCxbt1olq1UrqV69cI8GAKKTy+1mxUB+MjMzlZSUpIyMDCUmJoZ7OABCwPm/ev42S3bs2GEbJDdqJH3wgacdvGTTFPv1kzIz7XmnTlYhW7HCgtY559h7nKrXm29aJe3gQQtI33xjFTS32wLcxIl233HHSWefbU06unXzbAg9apR1U/R2/PHW2OOss6xS5j2+0rBunfTzz/b9lSuX7nejZLVpI/35p01rzd0wBgDKu8JmA0JWAQhZAHI7etSmFr71ljRtmm8jjGrVpPPOk55/3ncq4p9/2r0jRnjazksWzm6/3T5r927P9XfftSmTkr12xRUW7HbutA6KznfGxkrbtkk1atjz0aNtQ+ajRy3wud1WWRs2TGrdOu9vyciwFv6LFtn3DRqUf/g8dEh6/HFp3Dg7HzFCeu214P75IbLVrCnt2mVbIMyaZQGePeQAwBCyQoSQBSA/6elWmapZ01pep6XlH1ICycqyP9BOmWJTAx99VOrZ0147dMjClTN1a98+ac4ca+Sxa5eFMEfnznnb23u/NneuBbOsLOlf/7JGHt7dGE85xaY29u/vubZmjQW3lSutEYj3XmIrVkjNmnnG6R0s8/uts2dLP/1kwa9vX9/gifA5fNjzv+H06bbxd2qqZ085ACjvCFkhQsgCEE0+/dQqW3FxUoUKNkVx6lRrQX/66Z7W+JKnYtGqlQW6SZPs/pgYq4Q5YfG00ywAOurWtUYg557ru4bsvPOkzZttrVvDhtYKf/Vqq9B16iRddpnd98MP0qmnet5XoYJV27p3t6lq3bt71pytWmUVwM2b7Q/6O3ZY2GzRwh4nneRpzJCTk7fpidttvyn3ervccnJsk+zyHvY2bLCpqHFxFq7r17f/jY8cCa7pCwCUVYSsECFkASgLdu+2R+PG9nz/fmngQOmmm2wvsZgYa3gwbpyFrT17PO8dNcpCVqNGFmpuucWmRXrLyJDq1MnbDdJx/vnS++/beXa27V3Wpo30++/S8uW+9/7f/0m33mrnU6ZYeAvk7betEYpkQXLIEAuBSUnS9u0WOI8ckZo2tcrd0KG+78/MtDVxzzxjgfC446T27aXPPitcVa6smT/fNueuX99CcsWKdn3bNroMAoBU+GxAd0EAKAeqV/ftxlilinVC9Jaaau3kx4/3vf7sswV/flKShZRXX7WQlpUlNWlij5QUCy6O2FhPq33J/jD/9dfSwoU2VbJTJ8+9LVpYI5G6de1Ro4a0fr0FsxUrfPdH27TJpix6bybtWLXKfrPj44+lhx6yMe/d67m+bZuNwTtgPfWUhY0ePWxKaGH3SSsJOTn2+xs0KNq01IIkJNj6vaQkq2bVrGlTVdPTCVkAEAwqWQWgkgUA0eHwYQtamzdbhSolxdr2JyRYG/2ePT1B6/77Pa3+W7Wyit7QoTZFbudOm1op2bTJ447zNCVJTLRqXrt2Frg6d7aqXEkEHn+ef972a3viCc8ebiXJ6TT47bdSnz4l/30AEOmYLhgihCwAKHs2bZIWLJCSk219WKCQtH+/VbJ++MGajezb5/t6y5ZW+XLWK61aZVWy6dOtvf2NN4Z23L16WdOQ6tWtjX7uaZuh5qzHe+cd6aKLSva7ACAaMF0QAIAA6tUr3Ea7VapI995r50ePWqv7hQulxYttyuMll3gC1mOPSWPGeN47fbpUq5anFX9xHTpke5NJVll76SVr/x9K+/bZvmfOlMjate2Ynh7a7wGAso5KVgGoZAEACuPHH63S1KuXrWn68ENb2zV7tjWTKK7ly6UzzvCsOatd26Y3hnIz6HPPtUrcyy9LV11lFT/JpkzGxYXuewAgWhU2G9CQFQCAEOja1RpnTJ9unRQHDbLq05AhnrASyKFD0nPPWUDLyvJ/T4sW1qgjPd3arCcmSmvXhvY3bN1qzTWSk+25U/EjYAFAcAhZAACEQEyMp4NjbKytY2rTxjosOq3QA3G5pEcesarXlCn533vccdLMmdLSpda0I5S2brVjampoPxcAyhtCFgAAJSAx0apa334buP35m2/a+q74eOn66+3aU0/ZJsresrPt4WjSpGRayecOWX/9ZV0MnXVpAIDCIWQBAFBC6tSxAOVYuNCOR45YG/YrrpC6d7cwc801du/8+Z4GF44ffrA9wkaM8L1+9KjtI/bpp8Uf67591k1R8oSsXbukJ5+0DZsBAIVHyAIAoIS53dJtt9lGy3ffbdMIb7/d1j+dd57UqJFNA7z4Yrs/94bQ331ne38dPOh7/aWXrFHF2WdLjz+etwIWDKeKVaWKVLWqnTvdBbdtK95nA0B5Q8gCAKCEee/DNW6c7adVu7b02mvSK694Xr/5Zjt++KG0fr3nPd99Z8devXw/99prbZqh2y3dead03XVFD0P+1mMdd5wds7I8GzIDAApGyAIAoBQ89phVrSpVsv20Vqyw6X8xXv+fuH172wA4O1t6/nm75r0/Vu6QVaGC3ffss/Y5L78sTZ1atPFVq2Z7ep1+uudafLyn0yB7ZQFA4bEZMQAApSA21lq7Z2dbOArk1lttn62zzrLnP/8sHT5s67uaNfP/nhtvlLZskR59VPrHP6R+/YLfP6tDB+ndd/Ner11b2rPHQlaouxkCQFlFJQsAgFLicuUfsCRp4EDpo4+sIYYkffGFHXv18p12mNvdd0v169veWY8/HorRGmddFpUsACg8QhYAABFsxgw75p4qmFuVKtYJsHVrqWfP4L9n717fNvEOQhYABC9qQtZZZ52l448/XpUqVVKdOnV06aWXavPmzfm+59ChQ7rhhhtUs2ZNVa1aVUOHDlU6/18CABBFevWS/vY3aejQgu8991xrE19QIPPnooukuDjbu8vbU09JmzZZUw0AQOFETcjq3bu3/vOf/2j58uX68MMPtXr1ap177rn5vueWW27RZ599pg8++ECzZ8/W5s2bdc4555TSiAEAKL4nn5S+/16qWbPge10uC0qSdRkcMMC6Dv7+e8Hv3bzZ3uM0unDUqyfVrev5XABAwVxud3TufDF16lQNGTJEhw8fVpyf/8ufkZGhlJQUTZ48+VgYW7ZsmVq1aqWffvpJp5xySqG+JzMzU0lJScrIyFBiYmJIfwMAACXl99+ljh09z5991hpk+LN3r212fPSobYzcqFHee9zu/NeEhcLcuVLLltb4AwAiUWGzQdRUsrzt2rVL77zzjrp16+Y3YEnSL7/8oqysLPXt2/fYtZYtW+r444/XTz/9FPCzDx8+rMzMTJ8HAADRpnlzacoUadAge3777bY/lz/ffWcBq0mTvAErK0t64glb67VnT8mN96uvpFNOkS69tOS+AwBKS1SFrDvvvFNVqlRRzZo1tX79en366acB7926dasqVqyo5FzzHmrXrq2tzo6LfowbN05JSUnHHmlpaaEaPgAApaZyZVvHNXWq1KeP7bd11VVSTk7ee6dPt+Pf/573tQoVpEmTpGXLpJde8n3tk0+kW24JzUbFjz1mx88+K/qGygAQKcIassaMGSOXy5XvY9myZcfuv/322/Xbb7/pm2++UWxsrIYPH65Qz3a86667lJGRceyxYcOGkH4+AAClyeWSXnlFSkiQZs+WXnst7z35hSyXy6pgkvT00xbWJGnRIun886Xx46VTT7U1XcXhvP/TT0t+WiIAlLSwrsnavn27du7cme89jRs3VsWKFfNc37hxo9LS0jRnzhx17do1z+szZ85Unz59tHv3bp9qVoMGDfSPf/xDt9xyS6HGyJosAEBZMH68VZ2aNpWWLvXs17Vxo5SWJsXESDt35m18IUlHjthUwo0bpVdftYpYv36ecCZJDRtK33wTeMPk/GzaZHt85TcGAIgEUbEmKyUlRS1btsz34S9gSVLO/+Y7HD582O/rnTt3VlxcnGY4G4xIWr58udavX+83lAEAUJaNGiWNHSv9/LPvhsiVK1sA+8c/AoebihUtoEm2PisnR3rrLemyy6Q5cyy4rV0r9eghrViR/zhuu01q00bynrk/a5YdTzhBSky0BhhZWUX7nQAQCaKiu+DcuXM1f/589ejRQ9WrV9fq1at13333KT09XUuWLFF8fLw2bdqkPn366M0339TJJ58sSbruuuv05ZdfauLEiUpMTNSoUaMkSXPmzCn0d1PJAgDAOhCmpUkZGbYWa/Bgz2vp6bbua8kS6Zpr8q7dchw96mkFP3asdP/9dj5ihPTGGzYtcdo06Y8/LHgVZb8vAChJUVHJKqyEhAR99NFH6tOnj1q0aKERI0aoffv2mj17tuLj4yVJWVlZWr58uQ4cOHDsfU899ZQGDRqkoUOH6tRTT1Vqaqo++uijcP0MAAAigtst/fBDcA0mqlWTrr/eKl///a/va7VrS5MnSx99JP3f/wX+jKVLPef33OM5X7DAjr17S50723k+va0AIOJFRSUrnKhkAQDKErdbOvNM6YsvLBAlJVnDi+OPL/i9W7dKLVpIw4fbvlvBeuMNq1r17Glt4x1Hj0q//iq1bSt9/bV0zjnWSn71appgAIgshc0GFQK+AgAAyhyXS+rQwULW6NF2beBA6fPPC35vaqr055++a7qCMX++HU86yY4HD1plrEIF6X8z/dWvnxQfL61ZY9MP27Yt2ncBQDhFxXRBAAAQOnfcIdWs6Xnur3V7IPXq2fRAf3butHVWZ5/t/3VnWmCbNtIFF0h16uTdY6tKFalvXzufOrXw4wKASELIAgCgnElKku67z/M8mJCVn7g46V//ssYYXttcSpIOH5Z+/93OTz3VXs/IkGrUkEaOlLZt89zrNNVgXRaAaEXIAgCgHLr2Wql/f+m886RWrULzmYmJ0mmn2XnugJSTI738srWKb9TI1mY53nzTGms4Bg2y47x5Vh0DgGhD44sC0PgCAIDCe/FF60LYtavtoRXIrl2eKYtVq1qLeG9PPy117Ch16+Zp+w4A4VamWrgDAIDocNZZdvz5Z98Nh3OrUcOaXEi2QXFuN99sXQgJWACiESELAACETL161inQ7ZY++8xz/e23LXhlZXmu/ec/0oQJ0pgxpT9OAChJhCwAABBSTuOK11+3tVj790uXXWZTCHfs8NyXlCRdfrm1bPfn00+lm26S0tNLfMgAEFKELAAAEFLDh0vJyVKfPlJ2tm00nJNjVa46dQr/OQ88YJsee29cDADRgJAFAABCqn59ae1a6ZFHbE1V7k2IC6t3bzvOnBnS4QFAiSNkAQCAkEtK8pz//LMdgw1ZTjv4WbMKd/+jj9pUxY0bg/seAAg1QhYAACgxixZJH3xg58GGrFNPlWJipJUrpU2b/N+zbZvtvXXwoDXSmDpVWrCgWEMGgGIjZAEAgBLzxRee886dg3tvUpJ0wgl27q+adfCgtYx/+mnpqqs89/76a9HGCgChQsgCAAAl5vbbbXPihx+2vbGCld+UwYkTpblz7XPvv5+QBSByVAj3AAAAQNlVoYL0/PNFf3/v3tLjj9uUwdw+/NCOY8ZILVpIO3fac0IWgHAjZAEAgIjVs6e0erXUqJHv9Z07Pa3dzznHjh06SC6XtGWLPYJpFw8AocR0QQAAELEqV5YaN7bw5G3qVNuDq0MHqUkTu1alitSypZ3/9lvpjhMAvBGyAABAVNi5Uzp0yM6dqYJDh/rec8IJFsy2bCndsQGAN0IWAACIePfdZ5scv/ee5HZLDRpINWt6pgo6nntO2rtXGjEiPOMEAImQBQAAokDVqlbFeuYZe/7889LWrVLr1r73JSdLsbGlPjwA8EHIAgAAEe+qq6RKlWyt1Zw5dq1ChbxrtQojOzu0YwOA3AhZAAAg4tWsKV18sZ1fcolNGQxkzBipTRtp5sy8r/34o1XF7r+/ZMYJABIhCwAARIlRo+y4dq2no6A/f/0l/fmntGBB3tfOP9+mHT78sHT0aNHG8eWXtuZr9uyivR9A2UfIAgAAUaFDB8/eVz16BL6vc2c75t6U+Ndfpc2b7fyzz4q2duv336WBA6U33pA++ST49wMoHwhZAAAganz3nXTzzdKTTwa+54QT7Jg7ZD3xhB0vukgaNKho67mcDZAl6euvg38/gPKBkAUAAKJG8+bS+PFSrVqB7+nUyY4rV0q7d9v5unXSf/5j57fdVvTvT0/3nC9dKm3YUPTPAlB2EbIAAECZUquW1KyZnffrJ23caMEsO1vq08dC2NSp1khj0aLgPts7ZElUswD4R8gCAABlzhtvWEfCBQukr76SOnaUmjb1VLEmTpQmT5Y+/DC4z3VCVv36dvzmm1CNGEBZQsgCAABlTo8e0vz50iOP2B5bl10mLVsm9e9vrw8ZYsfczSvc7vz30dq61Y7Dh9vx22/ZdwtAXoQsAABQJjVqJN19t6fBRWys53zQIHu+aJG1fJesRXxKSv7VLaeSNWiQVL26dTt0OhYCgIOQBQAAyp0aNaSePe38jDOsgnX4sLRzp7Vp98ftlrZts/O6daXVq6UlS6S0tNIZM4DoQcgCAADlkjNlcPly6dFHbR8uSVq40P/9brf0ww/WNKNOHatkAYA/FcI9AAAAgHA45xzpzjulSpWkM8+U9u6164EqWTEx0skn571+6JBNQ4yPL7mxAoguVLIAAEC5VK+ercn680+pfXt7SNKmTTZtsDBuvtmmHk6aVHLjBBB9CFkAAKDcatpUSk2182rVpMaN7dxfNWvRIunJJ62joKNBA+ngQen110t+rACiByELAADgfzp2tKO/kDV7tjR6tPTyy55rl1wiVaggzZsnLV5cKkMEEAUIWQAAAP/zt79Jffp4qlvenPbttWt7rh13nK3nkqQJE0p+fACiAyELAADgf/7xD5sOeOGFeV/zF7Ik6cor7fjWW9KRIyU6PABRgpAFAABQCFu32jF3yBowwCpf27dLX3xR+uMCEHkIWQAAALns2SPt2+d7LVAlq0IF6bLL7PyNN0p8aACiACELAADAy/nn20bDH33kez1QyJKkq66SHntMeuWVkh8fgMjHZsQAAABenKYX3h0G3e78Q1bTptIdd5T82ABEB0IWAACAl0Bt3L//3oJWvXqlPiQAUYbpggAAAF46dLDjwoVWwZIkl0s6+WRr116xYuD3Tp0qnXaa9PXXJT7MPI4elSZPlh55hC6HQLhRyQIAAPDSpo0UGyvt3Clt3hxc5WrGDGnWLCkpSerfv+TG6E9srK0NO3hQGjbMpjACCA8qWQAAAF4qVZJatLBzZ8rgH39ITz4pTZ+e/3uvucaOn31mAa003XqrBSxJWrOmdL8bgC9CFgAAQC6dOtlxzhw7fv+9NHq09NJL+b+vdWupRw8pO1t6/fXQjysnR9qxQ5o50ypm3v7803P+11+h/24AhUfIAgAAyOWcc6Qrr5T69LHn+XUWzM2pZr32moWtUFq8WEpJsXHdf7/va6tXe86pZAHhRcgCAADI5ZxzrBLVu7c937rVjoUJWeeeK9WoIa1fH/oGGD//7DlfvtxznpUlrV3reU4lCwgvQhYAAEABgqlkVaokXXaZnU+YENpxzJ3rOd++3ZpzSBbovKtmVLKA8KK7IAAAgB85OdKCBdLKlcGFLEm6+GJp2TLp9NNDOybvSpZk1axu3aRVq3yvU8kCwouQBQAA4MfixVKXLlLlylJiol0rbMjq3Fn68svQjicjQ1q61M47dLDOh8uWWchy1mP16yeNGiU1amR7fLlcoR0DgMJhuiAAAIAf7dpJaWnWFj3YSlZJmD/fglPDhtKpp9o1Z11WtWrSiSdKp5wiDRpke30RsIDwIWQBAAD44XJZYJEswHz2mVS/fnCfsWGD9J//hGY8znqsLl2kli3tfNkyO156qYWwsWND810AiofpggAAAAEMGiS9+KJVsgYODK46tHu31KCBVZ+6d5fq1SveWJo1szH07Sv17Gkt4jt2zHvfnDnS7Nk2ZbFfv+J9J4CioZIFAAAQQO/etiZrwwbpjz+Ce2/16tLJJ9v5tGn+75kxQzr7bGnduoI/7/zzpc8/l666ygLXiBEWpNxu386Cn38u3X23NHVqcOMFEDqELAAAgAAqV/asw7rppuDf73QX/Oor/69PmiR98ol00UVFGp4kafNmKSHB1pDl5EiNG9t1OgwC4UPIAgAAyMf119uxZs3g3+uErOnTbcPg3EaPtuOcOZ7Ogf5s3Ghhyttvv0mvvip9/LF05Ig16IiJsc6CEntlAeFEyAIAAMjHbbdJX38tvfJK8O898USpVi0pM9OCVG4dOkhDhtj5o496ru/ebdMIhw6V3ntPeughW9N1992ee558Urr6aunpp+1506Z2dCpZa9ZYZQtA6SNkAQAA5MPlsgYSRalkxcRI/fvbufeUwZwc6ZdfbD3VvffatcmTbePjrCwLXp98In30kXThhVaxkqw1u8PpMOhsRNykiR3T0qTYWOnwYWnr1uDHDKD4CFkAAAAlyJky6GwYLEk//WRVrpNOkk44wboG5uRYNatCBXtPUpJ0662e8BQf79kfS/KELIdTyapQQTr+eDtnXRYQHoQsAACAEnTGGdJdd0nvvOO55py3bWuVsvvus+dvvSWtXSuNGWNVrf/7PzsuXGiVr7Q0z2fkDllOGJP8TxnculW6+GL7HAAli32yAAAASlD16r7rrbKyPBsUX3yxHbt0sT256tSRKla0aykpdnS5bO1Wbk2b2nREJ0Q5lSzJwllsrAWvwYNtDJs3W8v45cttY+PsbM93zZwpff+99OCDIfvZQLnmcrvd7nAPIpJlZmYqKSlJGRkZSkxMDPdwAABAFMvKknr0kObNs9bwGzfa9D7JwlJMkHOM0tLsMyTpwAFrOe9t4UKpUyf73B9+sKpaRoY0dqwFvauvtqmKzZvb93/+uT0H4F9hswHTBQEAAErJ9ddbwJKkCy7wBCwp+IAlSR072vGFF/IGLEl6/HE7nn++1K2b9Nhj9vyBB6QlS6QnnrDuhzffbNevvFLatq3w379wYfBjBsqDqAlZZ511lo4//nhVqlRJderU0aWXXqrNuTeMyKVXr15yuVw+j2uvvbaURgwAAOBr9GgpLs7OL7mk+J9399021W/YMN/ru3ZJ11wjvfuuPb/jDjuOHCl17WrnCQnS1KnWYOPRR2192LZt0vDh0o4dvp+3erX08MPWIdGZnvjaa1Yle+QRe75tmzRxYvC/YeZMC33p6XlfW7xY2rkz+M8Ewi1qQlbv3r31n//8R8uXL9eHH36o1atX69xzzy3wfSNHjtSWLVuOPR53/koHAACglLVsKf38s03LO/HE4n9e165S795SjRq+17OzPft69expYUiyatmkSdKZZ1p7eKcSVqmSNeOoWNH2BGvY0PYHc6paR45YEDrjDJtaeMMNNtVQskCXmWnTIK+4wqpqGzdaZ8Nvv7UAeOiQZ2wTJ0qLFknbt0uXXir16WP7gHXrJh09avf8+aetUWvXzsby8MPS/v15fz+LXhCponZN1tSpUzVkyBAdPnxYcc5fCeXSq1cvdezYUePHjy/y97AmCwAARBu32zP98LPPLLAUxowZVvX69Vd7/7JlUrNm9tr119teXhkZnvuvu056/nlrznH33dK4cf4/95lnpFGjpN9/t7b1klS1qm267HJJjRrZ+0eMsEDXsKG0ZYvvZ9SpY4HxhReskYdk+4c9/bR08sn2ORkZFviqVpXq1rWujvXq2b1z5ljA3bBBWr/ePv/oUU9QmzDBqnmS9N130vz5Nr5Dh6TkZHtUq2bXrr/egqlk7fgXL7YW+wcP2tq4o0dt+mZCgm0q7Yx31iz7Z5CQYK/Hxdn3O2M4/XTPvX/8If32m+d/T++HZGvnate286VLpQUL7H8zl8tzdPTsKaWm2vlff+XfYbJbN88/s/Xr7Z9DICed5NkuYPNm++cbSKdO9r+zZFXLH38MfG/79p5GLjt3WofNU04JfH9pKnQ2cEehnTt3us8//3x39+7d872vZ8+e7lq1arlr1qzpbtOmjXvMmDHu/fv35/ueQ4cOuTMyMo49NmzY4JbkzsjICOVPAAAAKFHffed2v/tu8O/LyXG7v/zS7X744byv7dvndr/yitvdo4fbfeutbnd2tu/7brvN7a5Y0R5Vq7rdx/1/e3ceFcWZrgH8aVRQgQaVPSwug4AKuCsaJBMZwC1qco4J4TgYjY4R4xjRUWeiqBgFk2iiIeZezRHjVeM4V9yOkmtEICIioogaYBRxB3fCYpTtvX8wFLSsaksjPr9z+pzuqre++qrqtZvXr/prC5Hp00WuXKmIyc0VeeutqnLB3V0kKUmkpKRi+0oRESLjx4tkZIj8+KNIly5V2+zeXRU3ceKT5YfmIzu7KvaTT+qPvX69KnbmzMa3Gxxcf2xGRlXsggX1x6amVsWGhtYfm5BQFbtmTf2x//d/VbH/9V/1x1Y/v//zP/XHbt1aFRsVVX/sf/93VexPP9Ufu2ZNVezRoyJvvy3Nxm+//dao2uClmsJ9/vz5+Oabb/Dw4UMMHjwY+/fvrzf+/fffh4ODA2xsbJCWlob58+cjMzMTu3btqnOblStXYunSpdruOhEREVGT8vJ6tu1UqooRlcofUa7O0LDie11Tp9a+3eefV0y2UX0UpTpLS2D3buB//xfIywMCA6u+o1bdRx9VjBYBgJMTMG4c8MMPFaMlTk5VcV9+Cbz9dsUEHPr6Fd8vU6uBgoKKWGvrqlg3t4rJRmxtK0ZfXnutYhuVquJP++qxgwdXjIp16FAxYpWXVzGCVVhYMaJVfZISF5eK2y+Li6tGqFq3rhrVMjXVbPf99yuWFxVV3R6pUlU8jIyqYrt1A3x9NddXf169XXv7itjy8opHWZnm+awcHQOqRgTr0qlT1XMLC8DTs+7Yyp8ZACpuWR06tO7YylE3oKLv9cXa2FQ9Nzau+ZtwLwOd3i64YMEChFdOc1OH9PR0OP/nzN69exf379/HlStXsHTpUpiYmGD//v1Q1fUv+QkxMTEYPnw4Ll68iG7Vf7GvmsePH+Px48fK6/z8fNjZ2fF2QSIiIiKiV1xjbxfUaZF1584d3GtgypiuXbtCv/KX8qq5fv067OzscOzYMXhUTpPTgKKiIhgZGSE6Ohq+lf810AB+J4uIiIiIiIDG1wY6vV3Q3Nwc5tXHGZ9C+X/mD60+6tSQ1P/8mIN19fFgIiIiIiIiLXoppnBPSkrCN998g9TUVFy5cgUxMTHw9/dHt27dlFGsGzduwNnZGSf+8wt/WVlZCA0NRUpKCi5fvoy9e/fiz3/+M4YNGwY3NzddHg4REREREbVgL0WR1b59e+zatQvDhw+Hk5MTpkyZAjc3N8TFxcHAwAAAUFJSgszMTDx8+BAAoK+vj59//hk+Pj5wdnZGcHAw3nnnHezbt0+Xh0JERERERC3cS/s7WU2F38kiIiIiIiKg8bXBSzGSRURERERE9LJgkUVERERERKRFLLKIiIiIiIi0iEUWERERERGRFrHIIiIiIiIi0iIWWURERERERFrEIouIiIiIiEiLWGQRERERERFpEYssIiIiIiIiLWKRRUREREREpEUssoiIiIiIiLSIRRYREREREZEWscgiIiIiIiLSIhZZREREREREWsQii4iIiIiISItYZBEREREREWkRiywiIiIiIiItYpFFRERERESkRSyyiIiIiIiItIhFFhERERERkRa11nUHmjsRAQDk5+fruCdERERERKRLlTVBZY1QFxZZDSgoKAAA2NnZ6bgnRERERETUHBQUFMDExKTO9SppqAx7xZWXl+PmzZswNjaGSqVq8v3n5+fDzs4O165dg1qtbvL9EwHMQ2o+mIvUHDAPqTlgHuqGiKCgoAA2NjbQ06v7m1ccyWqAnp4ebG1tdd0NqNVq/gMinWMeUnPBXKTmgHlIzQHzsOnVN4JViRNfEBERERERaRGLLCIiIiIiIi1ikdXMGRgYICQkBAYGBrruCr3CmIfUXDAXqTlgHlJzwDxs3jjxBRERERERkRZxJIuIiIiIiEiLWGQRERERERFpEYssIiIiIiIiLWKRRUREREREpEUsspqxiIgIdO7cGW3btsWgQYNw4sQJXXeJWrglS5ZApVJpPJydnZX1jx49QlBQEDp16gQjIyO88847uHXrlg57TC1BfHw8xowZAxsbG6hUKuzevVtjvYhg8eLFsLa2Rrt27eDt7Y0LFy5oxNy/fx8BAQFQq9UwNTXFlClTUFhY2IRHQS+7hvJw0qRJNd4f/fz8NGKYh/S8Vq5ciQEDBsDY2BgWFhYYN24cMjMzNWIa81l89epVjBo1Cu3bt4eFhQXmzZuH0tLSpjyUVx6LrGZqx44dmDNnDkJCQnDq1Cm4u7vD19cXt2/f1nXXqIXr2bMncnJylMfRo0eVdZ988gn27duHnTt3Ii4uDjdv3sTbb7+tw95SS1BUVAR3d3dERETUun7VqlVYu3YtvvvuOyQlJcHQ0BC+vr549OiREhMQEIDz58/j0KFD2L9/P+Lj4zFt2rSmOgRqARrKQwDw8/PTeH/cvn27xnrmIT2vuLg4BAUF4fjx4zh06BBKSkrg4+ODoqIiJaahz+KysjKMGjUKxcXFOHbsGDZv3ozIyEgsXrxYF4f06hJqlgYOHChBQUHK67KyMrGxsZGVK1fqsFfU0oWEhIi7u3ut6/Ly8qRNmzayc+dOZVl6eroAkMTExCbqIbV0ACQqKkp5XV5eLlZWVvL5558ry/Ly8sTAwEC2b98uIiK//vqrAJDk5GQl5uDBg6JSqeTGjRtN1ndqOZ7MQxGRwMBAGTt2bJ3bMA/pRbh9+7YAkLi4OBFp3GfxgQMHRE9PT3Jzc5WY9evXi1qtlsePHzftAbzCOJLVDBUXFyMlJQXe3t7KMj09PXh7eyMxMVGHPaNXwYULF2BjY4OuXbsiICAAV69eBQCkpKSgpKREIy+dnZ1hb2/PvKQXJjs7G7m5uRp5Z2JigkGDBil5l5iYCFNTU/Tv31+J8fb2hp6eHpKSkpq8z9RyxcbGwsLCAk5OTvjoo49w7949ZR3zkF6E3377DQDQsWNHAI37LE5MTISrqyssLS2VGF9fX+Tn5+P8+fNN2PtXG4usZuju3bsoKyvT+McBAJaWlsjNzdVRr+hVMGjQIERGRiI6Ohrr169HdnY2PD09UVBQgNzcXOjr68PU1FRjG+YlvUiVuVXf+2Fubi4sLCw01rdu3RodO3ZkbpLW+Pn54YcffsDhw4cRHh6OuLg4jBgxAmVlZQCYh6R95eXlmD17NoYOHYpevXoBQKM+i3Nzc2t9z6xcR02jta47QETNx4gRI5Tnbm5uGDRoEBwcHPDPf/4T7dq102HPiIh067333lOeu7q6ws3NDd26dUNsbCyGDx+uw55RSxUUFIRz585pfDeaXh4cyWqGzMzM0KpVqxozxdy6dQtWVlY66hW9ikxNTdG9e3dcvHgRVlZWKC4uRl5enkYM85JepMrcqu/90MrKqsakQKWlpbh//z5zk16Yrl27wszMDBcvXgTAPCTtmjlzJvbv348jR47A1tZWWd6Yz2IrK6ta3zMr11HTYJHVDOnr66Nfv344fPiwsqy8vByHDx+Gh4eHDntGr5rCwkJkZWXB2toa/fr1Q5s2bTTyMjMzE1evXmVe0gvTpUsXWFlZaeRdfn4+kpKSlLzz8PBAXl4eUlJSlJiYmBiUl5dj0KBBTd5nejVcv34d9+7dg7W1NQDmIWmHiGDmzJmIiopCTEwMunTporG+MZ/FHh4eOHv2rEbRf+jQIajVavTo0aNpDoQ4u2Bz9eOPP4qBgYFERkbKr7/+KtOmTRNTU1ONmWKItC04OFhiY2MlOztbEhISxNvbW8zMzOT27dsiIjJ9+nSxt7eXmJgYOXnypHh4eIiHh4eOe00vu4KCAjl9+rScPn1aAMjq1avl9OnTcuXKFRERCQsLE1NTU9mzZ4+kpaXJ2LFjpUuXLvL7778rbfj5+UmfPn0kKSlJjh49Ko6OjuLv76+rQ6KXUH15WFBQIHPnzpXExETJzs6Wn3/+Wfr27SuOjo7y6NEjpQ3mIT2vjz76SExMTCQ2NlZycnKUx8OHD5WYhj6LS0tLpVevXuLj4yOpqakSHR0t5ubmsnDhQl0c0iuLRVYztm7dOrG3txd9fX0ZOHCgHD9+XNddohbu3XffFWtra9HX15fXXntN3n33Xbl48aKy/vfff5cZM2ZIhw4dpH379jJ+/HjJycnRYY+pJThy5IgAqPEIDAwUkYpp3BctWiSWlpZiYGAgw4cPl8zMTI027t27J/7+/mJkZCRqtVo++OADKSgo0MHR0Muqvjx8+PCh+Pj4iLm5ubRp00YcHBxk6tSpNf7jk3lIz6u2HAQgmzZtUmIa81l8+fJlGTFihLRr107MzMwkODhYSkpKmvhoXm0qEZGmHj0jIiIiIiJqqfidLCIiIiIiIi1ikUVERERERKRFLLKIiIiIiIi0iEUWERERERGRFrHIIiIiIiIi0iIWWURERERERFrEIouIiIiIiEiLWGQRERERERFpEYssIqJX1OXLl6FSqZCamqrrrigyMjIwePBgtG3bFr179641RkQwbdo0dOzYUef9b47n8FnFxsZCpVIhLy/vhe9ryZIldV5fIqKWgEUWEZGOTJo0CSqVCmFhYRrLd+/eDZVKpaNe6VZISAgMDQ2RmZmJw4cP1xoTHR2NyMhI7N+/Hzk5OejVq1eT9G3SpEkYN26cxjI7O7sm7cPLSKVSYffu3RrL5s6dW+f1JSJqCVhkERHpUNu2bREeHo4HDx7ouitaU1xc/MzbZmVl4fXXX4eDgwM6depUZ4y1tTWGDBkCKysrtG7d+pn397xatWql8z68jIyMjOq8vkRELQGLLCIiHfL29oaVlRVWrlxZZ0xtt1Z99dVX6Ny5s/K6cpRlxYoVsLS0hKmpKZYtW4bS0lLMmzcPHTt2hK2tLTZt2lSj/YyMDAwZMgRt27ZFr169EBcXp7H+3LlzGDFiBIyMjGBpaYmJEyfi7t27yvo33ngDM2fOxOzZs2FmZgZfX99aj6O8vBzLli2Dra0tDAwM0Lt3b0RHRyvrVSoVUlJSsGzZMqhUKixZsqRGG5MmTcLHH3+Mq1evQqVSKeegc+fO+OqrrzRie/furdGGSqXCxo0bMX78eLRv3x6Ojo7Yu3evxjbnz5/H6NGjoVarYWxsDE9PT2RlZWHJkiXYvHkz9uzZA5VKBZVKhdjY2FpvF4yLi8PAgQNhYGAAa2trLFiwAKWlpRrna9asWfjb3/6Gjh07wsrKqtZjfdLGjRvh4uKCtm3bwtnZGd9++62ybsiQIZg/f75G/J07d9CmTRvEx8cDALZs2YL+/fvD2NgYVlZWeP/993H79u0699eYvEtOTsaf/vQnmJmZwcTEBF5eXjh16pSyvjJ2/PjxGtfrybYbyo3K87xr1y788Y9/RPv27eHu7o7ExEQl5sqVKxgzZgw6dOgAQ0ND9OzZEwcOHKj3nBIRvSgssoiIdKhVq1ZYsWIF1q1bh+vXrz9XWzExMbh58ybi4+OxevVqhISEYPTo0ejQoQOSkpIwffp0/OUvf6mxn3nz5iE4OBinT5+Gh4cHxowZg3v37gEA8vLy8Oabb6JPnz44efIkoqOjcevWLUyYMEGjjc2bN0NfXx8JCQn47rvvau3f119/jS+//BJffPEF0tLS4Ovri7feegsXLlwAAOTk5KBnz54IDg5GTk4O5s6dW2sblX+M5+TkIDk5+anO0dKlSzFhwgSkpaVh5MiRCAgIwP379wEAN27cwLBhw2BgYICYmBikpKRg8uTJKC0txdy5czFhwgT4+fkhJycHOTk5GDJkSI32b9y4gZEjR2LAgAE4c+YM1q9fj++//x7Lly+vcb4MDQ2RlJSEVatWYdmyZTh06FCd/d66dSsWL16Mzz77DOnp6VixYgUWLVqEzZs3AwACAgLw448/QkSUbXbs2AEbGxt4enoCAEpKShAaGoozZ85g9+7duHz5MiZNmvRU5+9JBQUFCAwMxNGjR3H8+HE4Ojpi5MiRKCgoAADl+mzatKne69VQblT6xz/+gblz5yI1NRXdu3eHv7+/UsAGBQXh8ePHiI+Px9mzZxEeHg4jI6PnOj4iomcmRESkE4GBgTJ27FgRERk8eLBMnjxZRESioqKk+ttzSEiIuLu7a2y7Zs0acXBw0GjLwcFBysrKlGVOTk7i6empvC4tLRVDQ0PZvn27iIhkZ2cLAAkLC1NiSkpKxNbWVsLDw0VEJDQ0VHx8fDT2fe3aNQEgmZmZIiLi5eUlffr0afB4bWxs5LPPPtNYNmDAAJkxY4by2t3dXUJCQupt58ljFxFxcHCQNWvWaCx7si0A8umnnyqvCwsLBYAcPHhQREQWLlwoXbp0keLi4lr3W/16Vao8h6dPnxYRkb///e/i5OQk5eXlSkxERIQYGRkp18bLy0tef/11jXYGDBgg8+fPr/OYu3XrJtu2bdNYFhoaKh4eHiIicvv2bWndurXEx8cr6z08POptMzk5WQBIQUGBiIgcOXJEAMiDBw9EpHF596SysjIxNjaWffv2KcsASFRUlEbck203lBuV53njxo3K+vPnzwsASU9PFxERV1dXWbJkSZ19IyJqShzJIiJqBsLDw7F582akp6c/cxs9e/aEnl7V27qlpSVcXV2V161atUKnTp1q3CLm4eGhPG/dujX69++v9OPMmTM4cuQIjIyMlIezszOAiu9GVerXr1+9fcvPz8fNmzcxdOhQjeVDhw59rmN+Wm5ubspzQ0NDqNVq5XykpqbC09MTbdq0eeb209PT4eHhoTFxydChQ1FYWKgxgli9HwBgbW1d5617RUVFyMrKwpQpUzSuw/Lly5VrYG5uDh8fH2zduhUAkJ2djcTERAQEBCjtpKSkYMyYMbC3t4exsTG8vLwAAFevXn3m47116xamTp0KR0dHmJiYQK1Wo7Cw8KnafJrcqH7erK2tAUA5b7NmzcLy5csxdOhQhISEIC0t7VkPi4joubHIIiJqBoYNGwZfX18sXLiwxjo9PT2N28CAilu/nvRkcaBSqWpdVl5e3uh+FRYWYsyYMUhNTdV4XLhwAcOGDVPiDA0NG93mi/A856jyfLRr1+7FdfAp+vGkwsJCAMCGDRs0rsG5c+dw/PhxJS4gIAD/+te/UFJSgm3btsHV1VUpsouKiuDr6wu1Wo2tW7ciOTkZUVFRAOqeqKQx5zQwMBCpqan4+uuvcezYMaSmpqJTp07PNflJfaqft8pCtvK8ffjhh7h06RImTpyIs2fPon///li3bt0L6QcRUUNYZBERNRNhYWHYt2+fxpf5gYpRitzcXI0/eLX5u0zV/1AvLS1FSkoKXFxcAAB9+/bF+fPn0blzZ/zhD3/QeDxNYaVWq2FjY4OEhASN5QkJCejRo8dzH4O5uTlycnKU1/n5+cjOzn6qNtzc3PDLL7/UWpwBgL6+PsrKyuptw8XFBYmJiRrXKiEhAcbGxrC1tX2q/lSytLSEjY0NLl26VOMadOnSRYkbO3YsHj16hOjoaGzbtk1jFCsjIwP37t1DWFgYPD094ezsXO+kF0Dj8i4hIQGzZs3CyJEj0bNnTxgYGGhMigJUFEb1nTdt5oadnR2mT5+OXbt2ITg4GBs2bHiq7YmItIVFFhFRM+Hq6oqAgACsXbtWY/kbb7yBO3fuYNWqVcjKykJERAQOHjyotf1GREQgKioKGRkZCAoKwoMHDzB58mQAFZMJ3L9/H/7+/khOTkZWVhZ++uknfPDBBw0WHE+aN28ewsPDsWPHDmRmZmLBggVITU3FX//61+c+hjfffBNbtmzBL7/8grNnzyIwMBCtWrV6qjZmzpyJ/Px8vPfeezh58iQuXLiALVu2IDMzE0DFTHlpaWnIzMzE3bt3ay3GZsyYgWvXruHjjz9GRkYG9uzZg5CQEMyZM0fjVs6ntXTpUqxcuRJr167Fv//9b5w9exabNm3C6tWrlRhDQ0OMGzcOixYtQnp6Ovz9/ZV19vb20NfXx7p163Dp0iXs3bsXoaGh9e6zMXnn6OiILVu2ID09HUlJSQgICKgxIti5c2ccPnwYubm5df5UgTZyY/bs2fjpp5+QnZ2NU6dO4ciRI8p/FhARNTUWWUREzciyZctq3Dbm4uKCb7/9FhEREXB3d8eJEydqnXnvWYWFhSEsLAzu7u44evQo9u7dCzMzMwBQRhjKysrg4+MDV1dXzJ49G6ampk9dNMyaNQtz5sxBcHAwXF1dER0djb1798LR0fG5j2HhwoXw8vLC6NGjMWrUKIwbNw7dunV7qjY6deqEmJgYFBYWwsvLC/369cOGDRuUW9SmTp0KJycn9O/fH+bm5jVGXgDgtddew4EDB3DixAm4u7tj+vTpmDJlCj799NPnOr4PP/wQGzduxKZNm+Dq6govLy9ERkZqjGQBFbcMnjlzBp6enrC3t1eWm5ubIzIyEjt37kSPHj0QFhaGL774ot59Nibvvv/+ezx48AB9+/bFxIkTMWvWLFhYWGjEfPnllzh06BDs7OzQp0+fWveljdwoKytDUFAQXFxc4Ofnh+7du2tMc09E1JRU8uQN10RERERERPTMOJJFRERERESkRSyyiIiIiIiItIhFFhERERERkRaxyCIiIiIiItIiFllERERERERaxCKLiIiIiIhIi1hkERERERERaRGLLCIiIiIiIi1ikUVERERERKRFLLKIiIiIiIi0iEUWERERERGRFv0/FS7wFT9cQOoAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# print the cost history\n", + "opt_results.plot_cost()" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "# prints a large output (commented by default)\n", + "# pprint(opt_results.intermediate)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "{'angles': [1.371862971017, 0.24355747989, 2.86536573413, 0.661691875155],\n", + " 'cost': -3.496186888171,\n", + " 'eval_number': 218,\n", + " 'job_id': '823f02c1-7456-4124-87df-687ae7fc22f3',\n", + " 'measurement_outcomes': array([ 0.04284966-0.01192738j, 0.02800091+0.01358129j,\n", + " -0.0026117 -0.01908847j, -0.00571515-0.07672026j,\n", + " 0.02733285-0.04142144j, -0.01202691-0.03518815j,\n", + " -0.04667931-0.05467577j, -0.17412036-0.07159958j,\n", + " 0.02800091+0.01358129j, -0.01956968-0.05470718j,\n", + " 0.0157576 -0.01605353j, -0.07280377+0.03181501j,\n", + " 0.02743899-0.1955927j , -0.13156733-0.06487829j,\n", + " -0.09411886-0.05501011j, -0.04667931-0.05467577j,\n", + " -0.0026117 -0.01908847j, 0.0157576 -0.01605353j,\n", + " 0.0010716 -0.13096442j, -0.06048263-0.2437939j ,\n", + " -0.02407981+0.02858514j, -0.00648214+0.04093336j,\n", + " -0.13156733-0.06487829j, -0.01202691-0.03518815j,\n", + " -0.00571515-0.07672026j, -0.07280377+0.03181501j,\n", + " -0.06048263-0.2437939j , -0.06967893-0.08488075j,\n", + " 0.14964257-0.31268748j, -0.02407981+0.02858514j,\n", + " 0.02743899-0.1955927j , 0.02733285-0.04142144j,\n", + " 0.02733285-0.04142144j, 0.02743899-0.1955927j ,\n", + " -0.02407981+0.02858514j, 0.14964257-0.31268748j,\n", + " -0.06967893-0.08488075j, -0.06048263-0.2437939j ,\n", + " -0.07280377+0.03181501j, -0.00571515-0.07672026j,\n", + " -0.01202691-0.03518815j, -0.13156733-0.06487829j,\n", + " -0.00648214+0.04093336j, -0.02407981+0.02858514j,\n", + " -0.06048263-0.2437939j , 0.0010716 -0.13096442j,\n", + " 0.0157576 -0.01605353j, -0.0026117 -0.01908847j,\n", + " -0.04667931-0.05467577j, -0.09411886-0.05501011j,\n", + " -0.13156733-0.06487829j, 0.02743899-0.1955927j ,\n", + " -0.07280377+0.03181501j, 0.0157576 -0.01605353j,\n", + " -0.01956968-0.05470718j, 0.02800091+0.01358129j,\n", + " -0.17412036-0.07159958j, -0.04667931-0.05467577j,\n", + " -0.01202691-0.03518815j, 0.02733285-0.04142144j,\n", + " -0.00571515-0.07672026j, -0.0026117 -0.01908847j,\n", + " 0.02800091+0.01358129j, 0.04284966-0.01192738j])}\n" + ] + } + ], + "source": [ + "pprint(opt_results.optimized)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "variational_params = q.optimizer.variational_params" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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+       "q0_4: ─ H β”œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β– β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€Β»\n",
+       "      β”œβ”€β”€β”€β”€                                                                   Β»\n",
+       "q0_5: ─ H β”œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€Β»\n",
+       "      β””β”€β”€β”€β”˜                                                                   Β»\n",
+       "Β«                                                                             Β»\n",
+       "Β«q0_0: ──────────────────────────────────────────────────────────■────────────»\n",
+       "Β«                   β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”                              β”‚            Β»\n",
+       "Β«q0_1: ─■──────────── Rx(-2.7437) β”œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€Β»\n",
+       "Β«       β”‚           β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜             β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”  β”‚ZZ(1.3234)  Β»\n",
+       "Β«q0_2: ─┼─────────────■─────────────■──────────── Rx(-2.7437) β”œβ”€β”€β– β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€Β»\n",
+       "Β«       β”‚             β”‚             β”‚           β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Β»\n",
+       "Β«q0_3: ─┼─────────────┼─────────────┼─────────────■───────────── Rx(-2.7437) β”œΒ»\n",
+       "Β«       β”‚             β”‚ZZ(5.7307)   β”‚             β”‚            β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜Β»\n",
+       "Β«q0_4: ─┼─────────────■─────────────┼─────────────┼──────────────■────────────»\n",
+       "Β«       β”‚ZZ(5.7307)                 β”‚ZZ(5.7307)   β”‚ZZ(5.7307)    β”‚ZZ(5.7307)  Β»\n",
+       "Β«q0_5: ─■───────────────────────────■─────────────■──────────────■────────────»\n",
+       "Β«                                                                             Β»\n",
+       "Β«                                               β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”             Β»\n",
+       "Β«q0_0: ──■──────────────────────────■──────────── Rx(-0.48711) β”œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€Β»\n",
+       "Β«        β”‚                          β”‚           β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜             Β»\n",
+       "Β«q0_1: ──┼─────────────■────────────┼─────────────■──────────────■───────────»\n",
+       "Β«        β”‚             β”‚ZZ(1.3234)  β”‚             β”‚              β”‚           Β»\n",
+       "Β«q0_2: ──┼─────────────■────────────┼─────────────┼──────────────┼───────────»\n",
+       "Β«        β”‚ZZ(1.3234)                β”‚             β”‚ZZ(1.3234)    β”‚           Β»\n",
+       "Β«q0_3: ──■──────────────────────────┼─────────────■──────────────┼───────────»\n",
+       "Β«      β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”              β”‚ZZ(1.3234)                  β”‚           Β»\n",
+       "Β«q0_4: ─ Rx(-2.7437) β”œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β– β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€Β»\n",
+       "Β«      β”œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€                                           β”‚ZZ(1.3234) Β»\n",
+       "Β«q0_5: ─ Rx(-2.7437) β”œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β– β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€Β»\n",
+       "Β«      β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜                                                       Β»\n",
+       "Β«                                                                   Β»\n",
+       "Β«q0_0: ─────────────────────────────────────────────────────────────»\n",
+       "Β«      β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”                                             Β»\n",
+       "Β«q0_1: ─ Rx(-0.48711) β”œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€Β»\n",
+       "Β«      β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜             β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”                Β»\n",
+       "Β«q0_2: ──■──────────────■──────────── Rx(-0.48711) β”œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€Β»\n",
+       "Β«        β”‚              β”‚           β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Β»\n",
+       "Β«q0_3: ──┼──────────────┼─────────────■────────────── Rx(-0.48711) β”œΒ»\n",
+       "Β«        β”‚ZZ(1.3234)    β”‚             β”‚             β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜Β»\n",
+       "Β«q0_4: ──■──────────────┼─────────────┼───────────────■─────────────»\n",
+       "Β«                       β”‚ZZ(1.3234)   β”‚ZZ(1.3234)     β”‚ZZ(1.3234)   Β»\n",
+       "Β«q0_5: ─────────────────■─────────────■───────────────■─────────────»\n",
+       "Β«                                                                   Β»\n",
+       "Β«                      \n",
+       "Β«q0_0: ────────────────\n",
+       "Β«                      \n",
+       "Β«q0_1: ────────────────\n",
+       "Β«                      \n",
+       "Β«q0_2: ────────────────\n",
+       "Β«                      \n",
+       "Β«q0_3: ────────────────\n",
+       "Β«      β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”\n",
+       "Β«q0_4: ─ Rx(-0.48711) β”œ\n",
+       "Β«      β”œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€\n",
+       "Β«q0_5: ─ Rx(-0.48711) β”œ\n",
+       "Β«      β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
" + ], + "text/plain": [ + " β”Œβ”€β”€β”€β” β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Β»\n", + "q0_0: ─ H β”œβ”€β– β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β– β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β– β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€ Rx(-2.7437) β”œΒ»\n", + " β”œβ”€β”€β”€β”€ β”‚ β”‚ β”‚ β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜Β»\n", + "q0_1: ─ H β”œβ”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β– β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β– β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€Β»\n", + " β”œβ”€β”€β”€β”€ β”‚ZZ(5.7307) β”‚ β”‚ZZ(5.7307) β”‚ β”‚ Β»\n", + "q0_2: ─ H β”œβ”€β– β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β– β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€Β»\n", + " β”œβ”€β”€β”€β”€ β”‚ZZ(5.7307) β”‚ β”‚ZZ(5.7307) Β»\n", + "q0_3: ─ H β”œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β– β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β– β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€Β»\n", + " β”œβ”€β”€β”€β”€ β”‚ZZ(5.7307) Β»\n", + "q0_4: ─ H β”œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β– β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€Β»\n", + " β”œβ”€β”€β”€β”€ Β»\n", + "q0_5: ─ H β”œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€Β»\n", + " β””β”€β”€β”€β”˜ Β»\n", + "Β« Β»\n", + "Β«q0_0: ──────────────────────────────────────────────────────────■────────────»\n", + "Β« β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β” β”‚ Β»\n", + "Β«q0_1: ─■──────────── Rx(-2.7437) β”œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€Β»\n", + "Β« β”‚ β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜ β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β” β”‚ZZ(1.3234) Β»\n", + "Β«q0_2: ─┼─────────────■─────────────■──────────── Rx(-2.7437) β”œβ”€β”€β– β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€Β»\n", + "Β« β”‚ β”‚ β”‚ β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Β»\n", + "Β«q0_3: ─┼─────────────┼─────────────┼─────────────■───────────── Rx(-2.7437) β”œΒ»\n", + "Β« β”‚ β”‚ZZ(5.7307) β”‚ β”‚ β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜Β»\n", + "Β«q0_4: ─┼─────────────■─────────────┼─────────────┼──────────────■────────────»\n", + "Β« β”‚ZZ(5.7307) β”‚ZZ(5.7307) β”‚ZZ(5.7307) β”‚ZZ(5.7307) Β»\n", + "Β«q0_5: ─■───────────────────────────■─────────────■──────────────■────────────»\n", + "Β« Β»\n", + "Β« β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β” Β»\n", + "Β«q0_0: ──■──────────────────────────■──────────── Rx(-0.48711) β”œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€Β»\n", + "Β« β”‚ β”‚ β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜ Β»\n", + "Β«q0_1: ──┼─────────────■────────────┼─────────────■──────────────■───────────»\n", + "Β« β”‚ β”‚ZZ(1.3234) β”‚ β”‚ β”‚ Β»\n", + "Β«q0_2: ──┼─────────────■────────────┼─────────────┼──────────────┼───────────»\n", + "Β« β”‚ZZ(1.3234) β”‚ β”‚ZZ(1.3234) β”‚ Β»\n", + "Β«q0_3: ──■──────────────────────────┼─────────────■──────────────┼───────────»\n", + "Β« β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β” β”‚ZZ(1.3234) β”‚ Β»\n", + "Β«q0_4: ─ Rx(-2.7437) β”œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β– β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€Β»\n", + "Β« β”œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€ β”‚ZZ(1.3234) Β»\n", + "Β«q0_5: ─ Rx(-2.7437) β”œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β– β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€Β»\n", + "Β« β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜ Β»\n", + "Β« Β»\n", + "Β«q0_0: ─────────────────────────────────────────────────────────────»\n", + "Β« β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β” Β»\n", + "Β«q0_1: ─ Rx(-0.48711) β”œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€Β»\n", + "Β« β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜ β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β” Β»\n", + "Β«q0_2: ──■──────────────■──────────── Rx(-0.48711) β”œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€Β»\n", + "Β« β”‚ β”‚ β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Β»\n", + "Β«q0_3: ──┼──────────────┼─────────────■────────────── Rx(-0.48711) β”œΒ»\n", + "Β« β”‚ZZ(1.3234) β”‚ β”‚ β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜Β»\n", + "Β«q0_4: ──■──────────────┼─────────────┼───────────────■─────────────»\n", + "Β« β”‚ZZ(1.3234) β”‚ZZ(1.3234) β”‚ZZ(1.3234) Β»\n", + "Β«q0_5: ─────────────────■─────────────■───────────────■─────────────»\n", + "Β« Β»\n", + "Β« \n", + "Β«q0_0: ────────────────\n", + "Β« \n", + "Β«q0_1: ────────────────\n", + "Β« \n", + "Β«q0_2: ────────────────\n", + "Β« \n", + "Β«q0_3: ────────────────\n", + "Β« β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”\n", + "Β«q0_4: ─ Rx(-0.48711) β”œ\n", + "Β« β”œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€\n", + "Β«q0_5: ─ Rx(-0.48711) β”œ\n", + "Β« β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#create the optimized QAOA circuit for qiskit backend\n", + "optimized_angles = opt_results.optimized['angles']\n", + "variational_params.update_from_raw(optimized_angles)\n", + "optimized_circuit = q.backend.qaoa_circuit(variational_params)\n", + "\n", + "#print the optimized QAOA circuit for qiskit backend\n", + "optimized_circuit.draw()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Step 5: Running on Azure Quantum backend\n", + "\n", + "Now that we have demonstrated how to create a problem, configure the QAOA model, compile and access the opimization results, we will show how to execute the circuit using Azure Quantum backend." + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "# Once again we define the parameters for our QAOA\n", + "q_qpu = QAOA()\n", + "\n", + "# Set the properties you want - These values are actually the default ones!\n", + "q_qpu.set_circuit_properties(p=1, param_type='standard', init_type='ramp', mixer_hamiltonian='x')\n", + "\n", + "q_qpu.set_backend_properties(n_shots=500)\n", + "\n", + "# Set the classical method used to optimiza over QAOA angles and its properties, note that to make the computation leaner we set a tollerance of 0.05\n", + "q_qpu.set_classical_optimizer(method='cobyla', maxiter=100, tol=0.01, optimization_progress=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "# Here are some of the simulators available through Azure Quantum, replacing the device with a real qpu\n", + "ionq_sim = 'ionq.simulator'\n", + "quantinuum_sim = 'quantinuum.sim.h1-1e'\n", + "rigetti_sim = 'rigetti.sim.qvm'\n", + "\n", + "# Set the backend you want to use here.\n", + "# WARNING: Quantinuum simulator usage is not unlimited. Running this sample against it could consume a significant amount of your eHQC quota.\n", + "backend_to_use = rigetti_sim" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "# Connect to the Azure Quantum workspace through OpenQAOA\n", + "resource_id = ''\n", + "az_location = ''\n", + "\n", + "# Set a quantum device to run our instance\n", + "device = create_device(location='azure', name=backend_to_use, resource_id=resource_id, az_location=az_location)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "q_qpu.set_device(device)" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [], + "source": [ + "# We use the same MaxCut problem we define in the first step\n", + "q_qpu.compile(maxcut_qubo)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Job submission to the Azure Quantum backend is made internally in the optimization loop in OpenQAOA. You can submit Jobs one at a time using the optimization loop or group them with the help of the Azure Quantum Session feature.\n", + "\n", + "This cell can take a few minutes to execute (note that executing on real QPUs can take longer run time)." + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "..............................................................................................................................." + ] + } + ], + "source": [ + "# Job submission to Azure Quantum backend is done internally\n", + "# q_qpu.optimize()\n", + "\n", + "# Jobs can also be grouped using Azure sessions\n", + "with q_qpu.device.backend_device.open_session(name=\"QAOA\") as session:\n", + " q_qpu.optimize()" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [ + "result_qpu = q_qpu.result" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "result_qpu.plot_cost()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Congrats! You have run two instances of RQAOA locally and on an Azure backend to find the solution to a Maximum Cut problem.\n", + "\n", + "As a next step, you can try the recursive version of QAOA: [RQAOA](openqaoa-recursive.ipynb)\n", + "\n", + "You can also try other problem instances (see [OpenQAOA](https://el-openqaoa.readthedocs.io) for more examples), or run it on real QPUs using Azure Quantum." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "azure_nb", + "language": "python", + "name": "azure_nb" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.13" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +}