diff --git a/Pipfile b/Pipfile index 697bc4ef..68fe4240 100644 --- a/Pipfile +++ b/Pipfile @@ -4,18 +4,18 @@ verify_ssl = true name = "pypi" [packages] -importlib-metadata = "*" -mapomatic = "==0.6" +mapomatic = "==0.8.0" mthree = "==0.24" pylatexenc = "*" -qiskit-aer = "*" +qiskit-aer = "~=0.11" qiskit-experiments = "==0.3.1" qiskit-ibm-runtime = "*" qiskit-ibmq-provider = "*" qiskit-nature = "~=0.5" -qiskit-terra = "==0.22" +qiskit-terra = "==0.23" [dev-packages] +importlib-metadata = "*" [requires] python_version = "3.9" diff --git a/docs/protein_folding/protein_folding.ipynb b/docs/protein_folding/protein_folding.ipynb index b0033d10..33985252 100644 --- a/docs/protein_folding/protein_folding.ipynb +++ b/docs/protein_folding/protein_folding.ipynb @@ -414,346 +414,21 @@ "name": "stdout", "output_type": "stream", "text": [ - "{ 'aux_operator_eigenvalues': None,\n", - " 'cost_function_evals': 50,\n", - " 'eigenstate': { '000000000': 0.015625,\n", - " '000000001': 0.046875,\n", - " '000000010': 0.03314563036811941,\n", - " '000000011': 0.06346905003621844,\n", - " '000000101': 0.04941058844013093,\n", - " '000000110': 0.015625,\n", - " '000000111': 0.02209708691207961,\n", - " '000001001': 0.029231698334171417,\n", - " '000001010': 0.019136638615493577,\n", - " '000001011': 0.04555431167847891,\n", - " '000001101': 0.029231698334171417,\n", - " '000010001': 0.015625,\n", - " '000010011': 0.027063293868263706,\n", - " '000010101': 0.02209708691207961,\n", - " '000010111': 0.011048543456039806,\n", - " '000011000': 0.02209708691207961,\n", - " '000011001': 0.06051536478449089,\n", - " '000011010': 0.03983608994994363,\n", - " '000011011': 0.09631896879639025,\n", - " '000011100': 0.011048543456039806,\n", - " '000011101': 0.06810779599282303,\n", - " '000011110': 0.02209708691207961,\n", - " '000011111': 0.019136638615493577,\n", - " '000100000': 0.015625,\n", - " '000100001': 0.03125,\n", - " '000100010': 0.019136638615493577,\n", - " '000100011': 0.05063078670631141,\n", - " '000100101': 0.03983608994994363,\n", - " '000100110': 0.015625,\n", - " '000100111': 0.015625,\n", - " '000101001': 0.03314563036811941,\n", - " '000101010': 0.011048543456039806,\n", - " '000101011': 0.036643873123620545,\n", - " '000101101': 0.019136638615493577,\n", - " '000110000': 0.011048543456039806,\n", - " '000110010': 0.011048543456039806,\n", - " '000110011': 0.019136638615493577,\n", - " '000110101': 0.029231698334171417,\n", - " '000111000': 0.015625,\n", - " '000111001': 0.04555431167847891,\n", - " '000111010': 0.024705294220065465,\n", - " '000111011': 0.09110862335695782,\n", - " '000111101': 0.05412658773652741,\n", - " '000111110': 0.015625,\n", - " '000111111': 0.011048543456039806,\n", - " '001000000': 0.024705294220065465,\n", - " '001000001': 0.04941058844013093,\n", - " '001000010': 0.036643873123620545,\n", - " '001000011': 0.09820160226544168,\n", - " '001000101': 0.061515686515717274,\n", - " '001000110': 0.024705294220065465,\n", - " '001000111': 0.02209708691207961,\n", - " '001001001': 0.011048543456039806,\n", - " '001001010': 0.011048543456039806,\n", - " '001001011': 0.04133986423538423,\n", - " '001001101': 0.019136638615493577,\n", - " '001010001': 0.019136638615493577,\n", - " '001010010': 0.019136638615493577,\n", - " '001010011': 0.034938562148434216,\n", - " '001010101': 0.034938562148434216,\n", - " '001011001': 0.019136638615493577,\n", - " '001011011': 0.034938562148434216,\n", - " '001011101': 0.027063293868263706,\n", - " '001100000': 0.04419417382415922,\n", - " '001100001': 0.13799626353637262,\n", - " '001100010': 0.10065702130254005,\n", - " '001100011': 0.27085837223999554,\n", - " '001100100': 0.019136638615493577,\n", - " '001100101': 0.15428451295415233,\n", - " '001100110': 0.05412658773652741,\n", - " '001100111': 0.06442352540027595,\n", - " '001101000': 0.015625,\n", - " '001101001': 0.07574499777213015,\n", - " '001101010': 0.03983608994994363,\n", - " '001101011': 0.11267347735824966,\n", - " '001101100': 0.015625,\n", - " '001101101': 0.0855816496101822,\n", - " '001101111': 0.015625,\n", - " '001110001': 0.011048543456039806,\n", - " '001110011': 0.029231698334171417,\n", - " '001110101': 0.02209708691207961,\n", - " '001111000': 0.038273277230987154,\n", - " '001111001': 0.10825317547305482,\n", - " '001111010': 0.05740991584648074,\n", - " '001111011': 0.18087245160609727,\n", - " '001111100': 0.015625,\n", - " '001111101': 0.11744762795603834,\n", - " '001111110': 0.024705294220065465,\n", - " '001111111': 0.019136638615493577,\n", - " '010001011': 0.011048543456039806,\n", - " '010001101': 0.011048543456039806,\n", - " '010010000': 0.011048543456039806,\n", - " '010010001': 0.015625,\n", - " '010010010': 0.02209708691207961,\n", - " '010010011': 0.029231698334171417,\n", - " '010010101': 0.011048543456039806,\n", - " '010010111': 0.011048543456039806,\n", - " '010011000': 0.011048543456039806,\n", - " '010011001': 0.036643873123620545,\n", - " '010011010': 0.03125,\n", - " '010011011': 0.05298695299316616,\n", - " '010011101': 0.038273277230987154,\n", - " '010100000': 0.03314563036811941,\n", - " '010100001': 0.07967217989988726,\n", - " '010100010': 0.046875,\n", - " '010100011': 0.12979099785809492,\n", - " '010100100': 0.011048543456039806,\n", - " '010100101': 0.07493486755176124,\n", - " '010100110': 0.024705294220065465,\n", - " '010100111': 0.036643873123620545,\n", - " '010101001': 0.04133986423538423,\n", - " '010101010': 0.024705294220065465,\n", - " '010101011': 0.06536406457297465,\n", - " '010101101': 0.04419417382415922,\n", - " '010101110': 0.011048543456039806,\n", - " '010110001': 0.015625,\n", - " '010110011': 0.03125,\n", - " '010110110': 0.011048543456039806,\n", - " '010111000': 0.024705294220065465,\n", - " '010111001': 0.07328774624724109,\n", - " '010111010': 0.03983608994994363,\n", - " '010111011': 0.10768788087570486,\n", - " '010111101': 0.08193819126329309,\n", - " '010111110': 0.011048543456039806,\n", - " '010111111': 0.019136638615493577,\n", - " '011000001': 0.03983608994994363,\n", - " '011000011': 0.05524271728019903,\n", - " '011000101': 0.036643873123620545,\n", - " '011001001': 0.024705294220065465,\n", - " '011001010': 0.011048543456039806,\n", - " '011001011': 0.03125,\n", - " '011001101': 0.019136638615493577,\n", - " '011011001': 0.024705294220065465,\n", - " '011011010': 0.011048543456039806,\n", - " '011011011': 0.029231698334171417,\n", - " '011011101': 0.015625,\n", - " '011100001': 0.024705294220065465,\n", - " '011100010': 0.019136638615493577,\n", - " '011100011': 0.03983608994994363,\n", - " '011100101': 0.034938562148434216,\n", - " '011101011': 0.019136638615493577,\n", - " '011101101': 0.02209708691207961,\n", - " '011111011': 0.015625,\n", - " '011111101': 0.011048543456039806,\n", - " '100000000': 0.015625,\n", - " '100000001': 0.04941058844013093,\n", - " '100000010': 0.03314563036811941,\n", - " '100000011': 0.08267972847076846,\n", - " '100000101': 0.05524271728019903,\n", - " '100000110': 0.011048543456039806,\n", - " '100000111': 0.02209708691207961,\n", - " '100001000': 0.015625,\n", - " '100001001': 0.027063293868263706,\n", - " '100001010': 0.019136638615493577,\n", - " '100001011': 0.05182226234930312,\n", - " '100001101': 0.036643873123620545,\n", - " '100010000': 0.011048543456039806,\n", - " '100010001': 0.024705294220065465,\n", - " '100010011': 0.034938562148434216,\n", - " '100010101': 0.024705294220065465,\n", - " '100011000': 0.024705294220065465,\n", - " '100011001': 0.071602745233685,\n", - " '100011010': 0.048159484398195125,\n", - " '100011011': 0.106548294507702,\n", - " '100011101': 0.07890238233095373,\n", - " '100011110': 0.024705294220065465,\n", - " '100011111': 0.015625,\n", - " '100100000': 0.015625,\n", - " '100100001': 0.03314563036811941,\n", - " '100100010': 0.02209708691207961,\n", - " '100100011': 0.07328774624724109,\n", - " '100100101': 0.048159484398195125,\n", - " '100100110': 0.015625,\n", - " '100100111': 0.011048543456039806,\n", - " '100101001': 0.027063293868263706,\n", - " '100101010': 0.015625,\n", - " '100101011': 0.03125,\n", - " '100101101': 0.036643873123620545,\n", - " '100101110': 0.011048543456039806,\n", - " '100110000': 0.011048543456039806,\n", - " '100110001': 0.02209708691207961,\n", - " '100110011': 0.03983608994994363,\n", - " '100110101': 0.027063293868263706,\n", - " '100110110': 0.011048543456039806,\n", - " '100110111': 0.02209708691207961,\n", - " '100111000': 0.029231698334171417,\n", - " '100111001': 0.06346905003621844,\n", - " '100111010': 0.04133986423538423,\n", - " '100111011': 0.10881553341550093,\n", - " '100111101': 0.0625,\n", - " '100111110': 0.019136638615493577,\n", - " '100111111': 0.011048543456039806,\n", - " '101000000': 0.02209708691207961,\n", - " '101000001': 0.06810779599282303,\n", - " '101000010': 0.04133986423538423,\n", - " '101000011': 0.12645635981436443,\n", - " '101000101': 0.07733980419227864,\n", - " '101000110': 0.015625,\n", - " '101000111': 0.027063293868263706,\n", - " '101001001': 0.029231698334171417,\n", - " '101001010': 0.011048543456039806,\n", - " '101001011': 0.03314563036811941,\n", - " '101001101': 0.019136638615493577,\n", - " '101010000': 0.011048543456039806,\n", - " '101010001': 0.024705294220065465,\n", - " '101010010': 0.02209708691207961,\n", - " '101010011': 0.04941058844013093,\n", - " '101010101': 0.015625,\n", - " '101010111': 0.015625,\n", - " '101011000': 0.015625,\n", - " '101011001': 0.027063293868263706,\n", - " '101011011': 0.03125,\n", - " '101011101': 0.019136638615493577,\n", - " '101100000': 0.06810779599282303,\n", - " '101100001': 0.1690102160373745,\n", - " '101100010': 0.129319885603491,\n", - " '101100011': 0.3125,\n", - " '101100100': 0.011048543456039806,\n", - " '101100101': 0.16424840657522374,\n", - " '101100110': 0.05740991584648074,\n", - " '101100111': 0.06810779599282303,\n", - " '101101000': 0.02209708691207961,\n", - " '101101001': 0.10126157341262282,\n", - " '101101010': 0.05298695299316616,\n", - " '101101011': 0.13887803777055607,\n", - " '101101100': 0.011048543456039806,\n", - " '101101101': 0.10423175050098699,\n", - " '101101110': 0.027063293868263706,\n", - " '101101111': 0.019136638615493577,\n", - " '101110000': 0.011048543456039806,\n", - " '101110001': 0.011048543456039806,\n", - " '101110011': 0.03125,\n", - " '101110101': 0.011048543456039806,\n", - " '101111000': 0.05298695299316616,\n", - " '101111001': 0.13212136347881065,\n", - " '101111010': 0.07245014449606019,\n", - " '101111011': 0.21791133876533364,\n", - " '101111100': 0.011048543456039806,\n", - " '101111101': 0.15428451295415233,\n", - " '101111110': 0.04133986423538423,\n", - " '101111111': 0.03125,\n", - " '110001011': 0.011048543456039806,\n", - " '110010001': 0.02209708691207961,\n", - " '110010010': 0.015625,\n", - " '110010011': 0.038273277230987154,\n", - " '110010101': 0.02209708691207961,\n", - " '110010111': 0.011048543456039806,\n", - " '110011000': 0.019136638615493577,\n", - " '110011001': 0.04555431167847891,\n", - " '110011010': 0.027063293868263706,\n", - " '110011011': 0.06629126073623882,\n", - " '110011101': 0.03983608994994363,\n", - " '110011110': 0.015625,\n", - " '110100000': 0.03314563036811941,\n", - " '110100001': 0.08341467384399462,\n", - " '110100010': 0.05412658773652741,\n", - " '110100011': 0.15027643798180737,\n", - " '110100101': 0.0943987966687076,\n", - " '110100110': 0.027063293868263706,\n", - " '110100111': 0.036643873123620545,\n", - " '110101000': 0.015625,\n", - " '110101001': 0.0427908248050911,\n", - " '110101010': 0.024705294220065465,\n", - " '110101011': 0.07733980419227864,\n", - " '110101101': 0.0625,\n", - " '110101110': 0.015625,\n", - " '110110001': 0.02209708691207961,\n", - " '110110010': 0.011048543456039806,\n", - " '110110011': 0.03125,\n", - " '110110101': 0.024705294220065465,\n", - " '110111000': 0.02209708691207961,\n", - " '110111001': 0.08769509500251425,\n", - " '110111010': 0.04133986423538423,\n", - " '110111011': 0.1316585902058806,\n", - " '110111101': 0.09631896879639025,\n", - " '110111110': 0.019136638615493577,\n", - " '110111111': 0.011048543456039806,\n", - " '111000001': 0.04555431167847891,\n", - " '111000010': 0.02209708691207961,\n", - " '111000011': 0.071602745233685,\n", - " '111000100': 0.011048543456039806,\n", - " '111000101': 0.03983608994994363,\n", - " '111000110': 0.011048543456039806,\n", - " '111000111': 0.019136638615493577,\n", - " '111001001': 0.019136638615493577,\n", - " '111001011': 0.03125,\n", - " '111001101': 0.024705294220065465,\n", - " '111011001': 0.019136638615493577,\n", - " '111011010': 0.02209708691207961,\n", - " '111011011': 0.03314563036811941,\n", - " '111011101': 0.019136638615493577,\n", - " '111100001': 0.03125,\n", - " '111100010': 0.029231698334171417,\n", - " '111100011': 0.061515686515717274,\n", - " '111100101': 0.03125,\n", - " '111100110': 0.011048543456039806,\n", - " '111100111': 0.011048543456039806,\n", - " '111101001': 0.015625,\n", - " '111101011': 0.019136638615493577,\n", - " '111101101': 0.015625,\n", - " '111111001': 0.011048543456039806,\n", - " '111111011': 0.02209708691207961,\n", - " '111111101': 0.015625},\n", - " 'eigenvalue': (-1.398017822265559+0j),\n", - " 'optimal_parameters': { ParameterVectorElement(θ[11]): 0.25163320460981214,\n", - " ParameterVectorElement(θ[17]): 0.549634714425504,\n", - " ParameterVectorElement(θ[1]): 1.0035801367262116,\n", - " ParameterVectorElement(θ[0]): 2.55530843267065,\n", - " ParameterVectorElement(θ[2]): -0.13830645603673145,\n", - " ParameterVectorElement(θ[4]): 0.5595204307110322,\n", - " ParameterVectorElement(θ[3]): -0.8539410013549216,\n", - " ParameterVectorElement(θ[5]): 3.922465032736834,\n", - " ParameterVectorElement(θ[7]): -0.048782814078807246,\n", - " ParameterVectorElement(θ[6]): -0.9943385087310653,\n", - " ParameterVectorElement(θ[8]): 1.1909489915294986,\n", - " ParameterVectorElement(θ[9]): 0.31372849859857693,\n", - " ParameterVectorElement(θ[10]): -1.0964143534287236,\n", - " ParameterVectorElement(θ[12]): -1.4702306518130122,\n", - " ParameterVectorElement(θ[13]): 1.1013642144225713,\n", - " ParameterVectorElement(θ[14]): -0.03135521452054886,\n", - " ParameterVectorElement(θ[15]): 0.7705700955144724,\n", - " ParameterVectorElement(θ[16]): 0.18505081170538806},\n", - " 'optimal_point': array([ 2.55530843, 1.00358014, -0.13830646, -0.853941 , 0.55952043,\n", - " 3.92246503, -0.99433851, -0.04878281, 1.19094899, 0.3137285 ,\n", - " -1.09641435, 0.2516332 , -1.47023065, 1.10136421, -0.03135521,\n", - " 0.7705701 , 0.18505081, 0.54963471]),\n", - " 'optimal_value': -1.398017822265559,\n", - " 'optimizer_evals': None,\n", - " 'optimizer_time': 33.225909948349}\n" + "SamplingMinimumEigensolverResult:\n", + "\tEigenvalue: -1.396058817404514\n", + "\tBest measurement\n", + ": {'state': 165, 'bitstring': '010100101', 'value': (-1.4249999999996135+0j), 'probability': 0.0012630027202188}\n", + "\n" ] } ], "source": [ "from qiskit.circuit.library import RealAmplitudes\n", "from qiskit.algorithms.optimizers import COBYLA\n", - "from qiskit.algorithms import NumPyMinimumEigensolver, VQE\n", - "from qiskit.opflow import PauliExpectation, CVaRExpectation\n", + "from qiskit.algorithms import NumPyMinimumEigensolver\n", + "from qiskit.algorithms.minimum_eigensolvers import SamplingVQE\n", "from qiskit import execute, Aer\n", + "from qiskit.primitives import Sampler\n", "\n", "# set classical optimizer\n", "optimizer = COBYLA(maxiter=50)\n", @@ -761,15 +436,6 @@ "# set variational ansatz\n", "ansatz = RealAmplitudes(reps=1)\n", "\n", - "# set the backend\n", - "backend_name = \"aer_simulator\"\n", - "backend = QuantumInstance(\n", - " Aer.get_backend(backend_name),\n", - " shots=8192,\n", - " seed_transpiler=algorithm_globals.random_seed,\n", - " seed_simulator=algorithm_globals.random_seed,\n", - ")\n", - "\n", "counts = []\n", "values = []\n", "\n", @@ -779,15 +445,12 @@ " values.append(mean)\n", "\n", "\n", - "# initialize CVaR_alpha objective with alpha = 0.1\n", - "cvar_exp = CVaRExpectation(0.1, PauliExpectation())\n", - "\n", - "# initialize VQE using CVaR\n", - "vqe = VQE(\n", - " expectation=cvar_exp,\n", - " optimizer=optimizer,\n", + "# initialize VQE using CVaR with alpha = 0.1\n", + "vqe = SamplingVQE(\n", + " Sampler(),\n", " ansatz=ansatz,\n", - " quantum_instance=backend,\n", + " optimizer=optimizer,\n", + " aggregation=0.1,\n", " callback=store_intermediate_result,\n", ")\n", "\n", @@ -801,16 +464,22 @@ "id": "7d51e6b4", "metadata": {}, "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/usr/local/venvs/qiskit-research-4492DR1p/lib/python3.9/site-packages/matplotlib/cbook/__init__.py:1335: ComplexWarning: Casting complex values to real discards the imaginary part\n", + " return np.asarray(x, float)\n" + ] + }, { "data": { - "image/png": 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\n", 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nsLR61hQpn8mgRNzW8Dqys337diQmJuLMmTP1bsvNzYVEIoGrq6vOcW9vb+Tm5nL3qZvoaG/X3taY5cuXY/HixS2M3vJIqYOy2Xz88cdYtmwZ3n//fb5DsTpeTjL4udnhdmElLmQV4dGQNnyHRFqZkzXFyX3a6yY70TVFypfvFKNCUQ17Ce+TH8RIeBvZycrKwsyZM/HDDz9AJpOZ9bXnzZuH4uJi7pKVlWXW1zcV6qBsPoWFhRg3bhzfYVgtai5I+HK3tAqp+WVgGKBPe3ed29q52qGtiwzVapa6fNsY3pKdc+fOIT8/H927d4dIJIJIJMKRI0ewdu1aiEQieHt7Q6FQoKioSOdxeXl58PHRzKX6+PjUW52lva69T0OkUimcnZ11LragdmSHkh1TGzduHPbt28d3GFZL21yQNgUl5qZdch7q4wxXe926ToZhuKks6rdjW3gboxs4cCAuXryoc2zy5MkIDQ3F+++/D39/f4jFYhw4cABjx44FAKSkpCAzMxMxMTEAgJiYGCxbtgz5+fncct+EhAQ4OzsjPDzcvG/IAtSO7NA0lqmFhIRgwYIFOHXqFCIiIiAWi3VunzFjhkled9myZdizZw+SkpIgkUjq/THQEJZlsWjRInz77bcoKirCo48+ivXr16Njx44miVEfdUd2WJYFwzC8xUJal5MP9Nd5UM8gN/x2IZs6KdsY3pIdJycndOnSReeYg4MDPDw8uONTpkzB7Nmz4e7uDmdnZ0yfPh0xMTHo06cPAE0X2/DwcEyYMAGfffYZcnNzMX/+fMTGxkIqldZ7TVtHBcrms2HDBjg6OuLIkSM4cuSIzm0Mw5gs2VEoFBg3bhxiYmKwceNGvR7z2WefYe3atdiyZQuCg4OxYMECDBkyBFeuXDH7FLJWeFtnSEQCFFYokXG/AkFtHHiJg7Q+pxopTtbSdlJOzChEtUoNkZD3dTzECCy6+uqLL76AQCDA2LFjUVVVhSFDhuCrr77ibhcKhdi9ezemTp2KmJgYODg4YNKkSViyZAmPUfOHCpTNJz09nZfX1RbWx8fH63V/lmWxevVqzJ8/HyNHjgQAfP/99/D29savv/6KF154wVShPpREJEBEOxecyyhEYmYhJTvELPJK5Ei7Vw6GAXoFuzd4n0e8neAkE6FUXo1ruaXo0s7FzFESU7CoZOfw4cM612UyGeLi4hAXF9foYwIDA7F3714TR2YdZNppLBrZITXS09ORm5ur08LBxcUFvXv3xsmTJxtNdqqqqlBVVdtF1hTtGaL8XXEuoxDnM4swpruf0Z+fkAdp63U6+zrDxU7c4H2EAgY9At1wOOUuztwqoGTHRtD4nA2hAmXTCw8PR0FB7Vz+O++8g3v37nHX8/PzYW9vz0doDdK2YGioRUNT7RlcXFy4i7+/8Tsdd69pz0/bRhBz4frrNFKvo0VFyraHkh0bQh2UTe/atWs6e69t3bpVZ9SDZVnI5XKDnvODDz4AwzAPvVy7ds1o70Ef5mjPoG0ueC23FBUKai5ITI8rTm6kXkeLay54qwAsy5o8LmJ6FjWNRVpGuxpLrlTTChczaegHoaHn/b333sOrr7760Pu0b9/eoOfU0rZgyMvLQ9u2bbnjeXl56NatW6OPk0qlJi/yb+ui6WmSUyxH8u3ieg3eCDGm7KJKZNyvgICpTWYaE+nnAolQgPzSKmQWVCDQg2rKrB0lOzZEO40FAAqVWuc6sVyenp7w9PQ0yXMHBwfDx8cHBw4c4JKbkpIS/PPPP5g6dapJXtMQUQGuyLmYi/OZRZTsEJPS1utEtHOBk6zheh0tmViICD9NAf2ZW4WU7NgAmsayIdppLIDqdkxFO6304DFzyczMRFJSEjIzM6FSqZCUlISkpCSUlZVx9wkNDcWuXbu42N599118/PHH+O2333Dx4kVMnDgRvr6+GDVqlNnibox2U1Cq2yGmpq3X6dPEFJaWduuIs9RvxybQyI4N0Ul2lGqAnxYqNo1lWQwcOBAikeZbp7KyEsOHD4dEounEWreexxQWLlyILVu2cNejoqIAAIcOHcKTTz4JQNN8s7i4mLvPv/71L5SXl+PNN99EUVERHnvsMfz555+89dipS1u3cz6ziKZeiUk11UzwQT0D3fEN0qi5oI2gZMeGMAwDqUiAqmo1FSmbyKJFi3Sua3vX1KXt+G0K8fHxTfbYebCOiGEYLFmyxCL7T3X2dYFYyOBeWRVuF1bC391yVrIR25FVUIHbhZUQCpgm63W0tCM7N++W435ZFTwcW1+jWltCyY6NqU12aBrLFB5MdkjLyMRChPu64EJWERIzCynZISahrdeJ9HOBg1S/X3uu9hI84u2I63llOJtRiCGdG99vkVg+qtmxMVKxpihZrqSRHWIduteZyiLEFAydwtKK5vrt0FSWtaNkx8bU9tqhkR1iHepuCkqIsbEs2+R+WI3pWTOVdYaaC1o9SnZsjKxmZIe2jCDWIsrfFQBwObuERiSJ0WUWVCC7WA6xkEF0oH71Olra+1+6U4xKBX02rRklOzaGuigTa+PnZgdPJymq1Swu3Slu+gGEGEBbr9PN3xV2EsN6j/m52cHHWYZqNYukrCITREfMhZIdG0PTWMTaMAzDje5Q3Q4xNq6/TjOaVjIMg57BtVtHEOtFq7FsjLZrMk0HmN6BAwdw4MAB5OfnQ63WTS43bdrEU1TWqXugG/ZdyaPmgsSoWJZtdnGyVs8gN/x+IZuSHStHyY6N0e6PRSM7prV48WIsWbIE0dHRaNu2LTXDayEa2SGmkH6vHHklVZAIBege6Nas59DW7SRmFKJapYZISBMi1oiSHRtD01jm8fXXXyM+Ph4TJkzgOxSbEOnnCqGAQW6JHNlFlfB1teM7JGIDTqVpRmOiAly5xRuG6uTjBCepCKVV1biWW4ou7VyMGSIxE0pRbUztaiyaxjIlhUKBvn378h2GzbCTCBHW1gkAje4Q49FOYbVkk1mhgOFGhajfjvWiZMfG0MiOebz++uvYtm0b32HYlO7Ub4cYEcuyXHGyof11HtRLW6ScQZ9Na0XTWDZGW6BMyY5pyeVybNiwAfv370dkZCTEYrHO7atWreIpMusVFeCK709mUJEyMYqbd8twr6wKUpGA23C2uaJrRnbOpBfQhrVWipIdG8ON7NA0lkklJyejW7duAIBLly7p3EY/CJtHO7JzKbsEVdUqLnEnpDm0ozo9At1a/Fnq6u8KsZBBfmkVsgoqEeBBe7hZG0p2bAytxjKPQ4cO8R2CzQlwt4e7gwQF5QpcyS7htpEgpDm0xcktqdfRkomFiGjngsTMIpy5VUDJjhWimh0bI+OmsWhkx1xu376N27dv8x2G1aPmgsRYWJblOie3tF5Hq6d2U9AMKlK2RpTs2BhuZIf2xjIptVqNJUuWwMXFBYGBgQgMDISrqyuWLl1ar8Eg0Z921QvV7ZCWuJ5XhvvlCtiJhejq52qU59TugE6bglonmsayMVSgbB4ffvghNm7ciBUrVuDRRx8FABw7dgwfffQR5HI5li1bxnOE1olGdogxnLx5DwAQHeQGicg4f9Nri5RT88tQUK6Au4PEKM9LzIOSHRujLVCm7SJMa8uWLfjuu+8wYsQI7lhkZCTatWuHd955h5KdZor0d4WAAe4UVSK/RA4vZxnfIRErZMx6HS03Bwk6ejniRn4Zzt4qwODOPkZ7bmJ6NI1lY6hA2TwKCgoQGhpa73hoaCgKCmhOv7kcpSI84q1pLphIozukGdRqFqfSW95MsCHRXN0OTWVZG0p2bIwxCpQ/35eCQauOoLhSaaywbE7Xrl2xbt26esfXrVuHrl278hCR7dDW7VBzQdIc13JLUVShhL1EiEg/427t0DOopt8OdVK2OjSNZWOMMbLz+4Vs3LpfgeTbRXi8o6exQrMpn332GYYNG4b9+/cjJiYGAHDy5ElkZWVh7969PEdn3aL8XbHtn0yq2yHNot0iomeQO8RG3rRTuyLr0p1iVCpUsJNQLyhrQSM7NoYrUG7BaqzKmnofOa3oalS/fv1w/fp1jB49GkVFRSgqKsKYMWOQkpKCxx9/nO/wrJp2ZCf5ThGUKvoMEsMYe8l5XX5udvBxlkGpYnHhdpHRn5+YDo3s2JjavbGaP41VqdA8tpKKnB/K19eXCpFNINjDAS52YhRXKnEtpxQRRp6KILZLpWbxjxE2/2wMwzCIDnLD7uQcnEkvMMlrENOgZMfGaEd2WjIqw43sKCjZqSs5ORldunSBQCBAcnLyQ+8bGRlppqhsj0DAICrAFYdT7uJ8ViElO0RvV3NKUCKvhqNUhC6+ziZ5jZ5B7ppkh4qUrQolOzamtmaneYmKUqWGUsUCoJGdB3Xr1g25ubnw8vJCt27dwDAMWJatdz+GYaBS0blriSh/NxxOuYvEjEJMjAniOxxiJbT7YfUKdofIyPU6WtE1RcqJGYVQqVkIBbQXnjWgZMfGyFrYVLBufx5KdnSlp6fD09OT+z8xHe0u1eeziniNg1gXbXFyjAmnl0J9nOEoFaGsqhrXckvQ2ZdGHq0BFSjbmJauxqqsM3VVSdNYOgIDA7kdzTMyMtCuXTtuqwjtpV27dsjIyOA5UuvXLcAVDANk3K/AvbIqvsMhVqBapcaZdOM3E3yQUMBwRfRnaesIq0HJjo3RFiir1Cyqm7GSpe5oDnVhblz//v0bbB5YXFyM/v378xCRbXGWiRHi6QgASKIl6EQPl7NLUFpVDWeZCOEmqtfR6lUzlXWa+u1YDUp2bIy2QBkA5M0Y3amkaSy9sCzLjfLUdf/+fTg4OPAQke3pHkCbghL9aaewegV7mLyOhuukfKugwbo9YnmoZsfGSOtselelVMFRatiXuIKmsR5qzJgxADRFyK+++iqkUil3m0qlQnJyMvr27ctXeDYlKsAVP53NouaCRC/a4mRT9Nd5UFc/V4iFDPJKqnC7sBL+7vYmf03SMpTs2BiBgIFEKIBCpW5W3U7d5eY0slOfi4umGJFlWTg5OcHOzo67TSKRoE+fPnjjjTf4Cs+maOsiLtwuQrVKbbLVNcT6KVVqnL2lrddxN/nr2UmE6NLOBeczi3DmVgElO1aAkh0bJBU1P9mpO7JDNTv1bd68GQAQFBSEOXPm0JSVCYV4OsJJKkJpVTWu55WZvA6DWK+Ld4pRrlDB1V6MMB/zfE56BrnXJDuFGNPdzyyvSZqP/lSyQS3ptUM1O/pZtGgRJTomJhAw6MYtQae6HdI47RRW72B3CMzU9yY6kDYFfZgSuWVtJE0jOzaoJftj6SQ7VLPzUL/88gt+/vlnZGZmQqFQ6NyWmJjIU1S2JcrfFUdv3ENiRhFe7h3IdzjEQp0yQ3+dB2mLlFPzy1BQroC7g8Rsr23pWJbFxI2nIRYyWD4mAiFeTnyHRCM7tkhbpNycaSidPju0EWij1q5di8mTJ8Pb2xvnz59Hr1694OHhgbS0NDzzzDN8h2czompWZNHIDmmMolrN9bvpY4biZC13BwlCvDTtEc7R1hE6TqbdR1JWEZJvF8PFzjKSQEp2bJBE1PzGgnVHdqpoGqtRX331FTZs2IAvv/wSEokE//rXv5CQkIAZM2aguLiY7/BsRjd/VwBA2t1yFFUoHn5n0iol3y5CpVIFdwcJHjHzCELPIG1zQZrKqivuUCoA4IWe/vB0kjZxb/MwONlJS0szRRzEiGTi5m8ZUUmrsfSSmZnJLTG3s7NDaWkpAGDChAn48ccf+QzNprg5SNC+jaY2iraOIA3R1uv0aW++eh2t6EDNVBbV7dQ6n1mI46n3IRIweOOJ9nyHwzE42QkJCUH//v2xdetWyOVyU8REWkgqogJlU/Px8eE6KAcEBODUqVMANHtmUZMx4+KmsmiqgDTAHPthNaZnTd3OxTvFtHq1xleHbwIARkW1g5+b5SzJNzjZSUxMRGRkJGbPng0fHx+89dZbOH36tCliI80kFbegQJmaCuplwIAB+O233wAAkydPxqxZs/DUU09h/PjxGD16NM/R2RbaFJQ0pqpaxdXLmHI/rMb4u9vB21kKpYpFEn0+kZJbioQreWAYYOqTHfgOR4fByU63bt2wZs0aZGdnY9OmTcjJycFjjz2GLl26YNWqVbh7964p4iQG4AqUWziyU1WthlpNoxQN2bBhAz788EMAQGxsLDZt2oSwsDAsWbIE69ev5zk626LdNiIps4g+j0RHUmYRqqrVaOMo5YqFzYlhGJ2tI1q7rw5ranWGdmmLDp7m/3o8TLMLlEUiEcaMGYMdO3bg008/RWpqKubMmQN/f39MnDgROTk5xoyTGICbxmrhyA7QvISpNRAIBBCJajs3vPDCC1i7di2mT58OicR0qw+WLVuGvn37wt7eHq6urk3eX6lU4v3330dERAQcHBzg6+uLiRMnIjs722QxGtsj3o6wlwhRWlWN1LtlfIdDLIh2CqtPe/cG96ozh55cv53WPc2acb8cv1/Q/FyxtFEdoAXJztmzZ/HOO++gbdu2WLVqFebMmYObN28iISEB2dnZGDlypDHjJAZoUYHyA/PONJXVOLlcjtOnT2P37t347bffdC6molAoMG7cOEydOlWv+1dUVCAxMRELFixAYmIidu7ciZSUFIwYMcJkMRqbSChAVz9XAJriR0K0zLkfVmO0IzuJGYVQteKRx6+PpEHNAk928kSXdi58h1OPwU0FV61ahc2bNyMlJQVDhw7F999/j6FDh0Ig0ORNwcHBiI+PR1BQkLFjJXpqSYFyhaJa5zoVKTfszz//xMSJE3Hv3r16tzEMA5XKNOdt8eLFAID4+Hi97u/i4oKEhASdY+vWrUOvXr2QmZmJgIAAY4doElEBrjiZdh+JGUUY39M6YiamJVequE1i+ShO1gr1cYJjzbYmKbmlrXJbk9xiOf577jYAILZ/CM/RNMzgkZ3169fjpZdeQkZGBn799Vc8++yzXKKj5eXlhY0bNxotSGIYroNys0Z2dB9DKwwaNn36dIwbNw45OTlQq9U6F1MlOsZSXFwMhmEeOg1WVVWFkpISnQufulNzQfKAxMxCKFRqeDlJEdyGv61bREIBV0TfWpegf3s0DQqVGr2C3bkVapbG4GTnxo0bmDdvHtq2bdvofSQSCSZNmtSiwEjzcXtjNaNmR654cBqLuig3JC8vD7Nnz4a3tzffoRhELpfj/fffx4svvghn58b/Al2+fDlcXFy4i7+/vxmjrE+7R9aN/DKL23OH8ONUnSksvup1tHoFtd5+OwXlCmz7JxOA5Y7qAM1IdpKTkxu8XLx4ETdu3EBVVZUp4iQGaMlqrAolTWPp47nnnsPhw4eN8lwffPABGIZ56OXatWstfh2lUonnn38eLMs2uWJs3rx5KC4u5i5ZWVktfv2WaOMoRYC7PVgWuEBLfAn47a/zoOg6yU5r67MVfzwdlUoVItq54ImObfgOp1EG1+x069btoVm0WCzG+PHj8c0330Amk7UoONI8shb12dE8RihgoFKzlOw0Yt26dRg3bhyOHj2KiIgIiMVindtnzJih93O99957ePXVVx96n/btW9aJVJvoZGRk4ODBgw8d1QEAqVQKqdQy2rxrdQ9wRWZBBRIzivB4R0++wyE8qlSouL42fBYna3Xzd4VIwCCvpAq3Cyvh7245zfRMqVSuRPyJWwCA2P4deB9hexiDk51du3bh/fffx9y5c9GrVy8AwOnTp/H5559j0aJFqK6uxgcffID58+dj5cqVRg+YNK0lBcraGh03ezHulSloNVYjfvzxR+zbtw8ymQyHDx/W+SZnGMagZMfT0xOenqb75a1NdG7cuIFDhw7Bw4P/Xw7NERXghl+Tsqluh+BcRiGUKhZtXWQIsIDEwk4iRJd2LkjKKsLZjIJWk+xsPZWJEnk1Ong6YHC4D9/hPJTByc6yZcuwZs0aDBkyhDsWEREBPz8/LFiwAKdPn4aDgwPee+89SnZ40twCZZZludVY7g4S3CtTUIFyIz788EMsXrwYH3zwQb0CfVPKzMxEQUEBMjMzoVKpkJSUBECzjYujo6aJV2hoKJYvX47Ro0dDqVTiueeeQ2JiInbv3g2VSoXc3FwAgLu7u0l7AhkbV6Rc01zQ3PsgEctxMk2zCjKmPf/1Olo9g9yQlFWEM7cKMTrKj+9wTE6uVGHjMc1eme88GWLx348GJzsXL15EYGBgveOBgYG4ePEiAM1UFzUV5I+0mbueK1RqaNtEuNlrfgnSNFbDFAoFxo8fb9ZEBwAWLlyILVu2cNejoqIAAIcOHcKTTz4JAEhJSeF2Xr9z5w7X96dbt246z1X3MdYgtK0TZGIBiiuVSL9fbnEdWon5cJt/WsAUllbPIHd8ezQdZ9JbR5Hyz2ezcK9MAT83O4zo5st3OE0y+Cd1aGgoVqxYAYVCwR1TKpVYsWIFQkNDAWh+wFrbKhVbol2NZeiojLzOyit3h5pkh6axGjRp0iT89NNPZn/d+Ph4sCxb71I3aWFZlqsBCgoKavD+Dz7GGoiFAkS2cwWgaeBGWqfyqmok39Yk85ZQnKzVo6aT8o38MhSWK5q4t3VTqtT45ohmVOetfh0gFpr3j77mMHhkJy4uDiNGjICfnx8iIyMBaEZ7VCoVdu/eDQBIS0vDO++8Y9xIid6aO42lXYklFjJwkmk+GjSy0zCVSoXPPvsMf/31FyIjI+sVKK9atYqnyGxbVIArTt8qwPmsIoyL5nc5POHH2YxCVKtZtHO1s6jaGA9HKTp4OuDm3XKcyyjEoHDb/YP/1/N3cKeoEm0cpRjXwzqm7AxOdvr27Yv09HT88MMPuH79OgBg3LhxeOmll+Dk5AQAmDBhgnGjJAaRcX12DEtUtKM4MrEQdjUruqhmp2EXL17kppAuXbqkc5ul1BDYoqg6dTukdbKELSIa0zPIHTfvluNMRoHNJjsqNYv1R24CAN54PJhb/WvpDEp2lEolQkNDsXv3brz99tumiom0kHZkR2HgyI52FMdOLIRMonkOmsaqT6VSYfHixYiIiICbmxvf4bQq3WuaC6bklqCsqhqOUoP/XiNWzpL66zwoOsgd289k4awNbwr61+VcpN0th4udGC/3qV+/a6kMmmgTi8WQy+WmioUYSXMLlLWJjb2kdmSHprHqEwqFGDx4MIqKivgOpdXxcpahnasd1CyQfLuI73CImZXKlbh0R1OvY0nFyVo9gzR//CTfLrLJUXGWZRF3KBUA8GrfIKv6Y8PgqqLY2Fh8+umnqK6ubvrOTVi/fj0iIyPh7OwMZ2dnxMTE4I8//uBul8vliI2NhYeHBxwdHTF27Fjk5eXpPEdmZiaGDRsGe3t7eHl5Ye7cuUaJzZpx20UY2GdHm9jIxEJuaFLejMaErUGXLl2QlpbGdxitknYfotY0lVVcqcT/ku5g2rZEPPvlUVysKdBtbc7cKoBKzSLA3R7tXO34DqeeAHd7eDlJoVSxNtnp+/D1u7icXQJ7iRCv9g3iOxyDGJyWnTlzBgcOHMC+ffsQEREBBwfdDdh27typ93P5+flhxYoV6NixI1iWxZYtWzBy5EicP38enTt3xqxZs7Bnzx7s2LEDLi4umDZtGsaMGYPjx48D0EwnDBs2DD4+Pjhx4gRycnIwceJEiMVifPLJJ4a+NZuhncYyNFGpqBnZsZNQzU5TPv74Y8yZMwdLly5Fjx496n0fNNWhmDRfVIAbdifn4Hym7U4VAMDtwgokXMnD/qt5+CetANXq2m0I3t56DntmPAZXe+vpk2QMp9I0y7otcQoL0NTr9Qxyx56LOTibUYjeFhpnc31VM6rzcu8AuDlY12fP4GTH1dUVY8eONcqLDx8+XOf6smXLsH79epw6dQp+fn7YuHEjtm3bhgEDBgAANm/ejLCwMJw6dQp9+vTBvn37cOXKFezfvx/e3t7o1q0bli5divfffx8fffRRow3TqqqqdPbw4ntHZ2OTNXNkR5vY0DRW04YOHQoAGDFihE5BMsuyYBjG4nc+t2baup3EzCLufNsClmVx6U4JEq7mIeFKHq7m6P5c6ujliEHh3vjjYg5u3a/Aez9fwLcToy2+mZsxWXJxslZ0kBv2XMyxuU1BT6cX4MytQkiEArzxeMu2r+GDwcnO5s2bTREHVCoVduzYgfLycsTExODcuXNQKpUYNGgQd5/Q0FAEBATg5MmT6NOnD06ePImIiAidnj5DhgzB1KlTcfnyZW61zIOWL1+OxYsXm+R9WALtyI5SxUKlZiHU84ehtmaHCpSbdujQIb5DaLXCfZ0hEQpQUK5AZkEFAj0cmn6QhVJUq3Ey7T7214zg5BTX1kQKGE3B61Nh3hgU7o3gNpr3+WxkW4z+6gQOXMvHt0fT8Fa/DnyFb1bFlUpczq7pr2PByU7Pmk1Bz2UUGvTz19KtqxnVGRftBy9n69v3slnVRdXV1Th8+DBu3rzJLTnPzs6Gs7Mz17JeXxcvXkRMTAzkcjkcHR2xa9cuhIeHIykpCRKJBK6urjr39/b25trd5+bm1mteqL2uvU9D5s2bh9mzZ3PXS0pK4O9vOz07tAXKgOaHqZ1Ev6WBtdNYIhrZaUK/fv34DqHVkoqE6NLOGYmZRUjMLLS6ZKe4QonD1/Ox70oejqTcRVlVbY2hvUSIJzp6YlC4NwaEenHNPevq7OuCj4Z3xr93XcRnf6Wge6Ab9wvWlp1OL4CaBdq3cYC3Bf+yDfVxgoNEiFJ5NVJySxHua/1T2hdvF+Pv63chFDB420qTa4OTnYyMDDz99NPIzMxEVVUVnnrqKTg5OeHTTz9FVVUVvv76a4Oer1OnTkhKSkJxcTF++eUXTJo0CUeOHDE0LINY4o7OxlQ32amqVumd7NQuPRdQzY4eioqKsHHjRly9ehUA0LlzZ7z22mtwcXHhOTLbFxXghsTMIpzPLLKKfYiyCiqwv2Z66nS6bv2Np5MUg8K88FS4N/p2aKNX35IXe/njdPp9/JqUjWnbErF3xuPwcLTdn2kAcKpmybml18GIhAJ0D3TD0Rv3cDajwCaSna8Oa0Z1Rnb1tahGjoYwONmZOXMmoqOjceHCBZ3dk0ePHo033njD4AAkEglCQkIAAD169MCZM2ewZs0ajB8/HgqFAkVFRTqjO3l5efDx0eyu6uPjg9OnT+s8n3a1lvY+rZFIKIBQwEClZg0qUpbX6bNjJ9EkTDSy07CzZ89iyJAhsLOzQ69evQBouiYvW7YM+/btQ/fu3XmO0LZ1D3DDRqQj0UKLlLn6myu52HclD9dyS3Vu7+jliKfCvfFUuDe6+rkaXHfDMAyWjY7AxTvFuHm3HO/+lIT4yb1sZsqkIdZQr6PVM8gdR2/cw5lbhZgYE8R3OC2Sml+KPy9rZkqmPmmdozpAM5Kdo0eP4sSJE/WKf4OCgnDnzp0WB6RWq1FVVYUePXpALBbjwIEDXEF0SkoKMjMzERMTAwCIiYnBsmXLkJ+fDy8vLwBAQkICnJ2dER4e3uJYrJlUJECFQmVQkXLdaSztX5dUs9OwWbNmYcSIEfj2228hEmm+jaqrq/H666/j3Xffxd9//81zhLZNu/z8ak4pKhX6j16aUlW1CqfSCpBwJRf7r+Qjt6R+/c3gcG8MCvNGUJuWT705SEVY/0oPjFh3DEdv3EPcoVTMGNixxc9riYoqFLiaqynY7tPe8qfsomv67ZxJL7D6IvqvDt8EywJDOnujo7cT3+E0m8HJjlqtbnClye3bt7ntIvQ1b948PPPMMwgICEBpaSm2bduGw4cP46+//oKLiwumTJmC2bNnw93dHc7Ozpg+fTpiYmLQp08fAMDgwYMRHh6OCRMm4LPPPkNubi7mz5+P2NhYm56m0odMLKxJdvQf2anbQZlqdh7u7NmzOokOAIhEIvzrX/9CdHQ0j5G1Dr6udvBxliG3RI6Ld4rRK5ifX4DFlUocupaPhCt5OHK94fqbp2rqb0yxVPcRbyd8PCoCc3ZcwBf7ryM60A19Q9oY/XX4diqtACwLhHg5wsvJcut1tLr5u0IkYJBbIsedokr4uVnn1E9WQQX+l5QNAIjtH8JzNC1jcLIzePBgrF69Ghs2bACgGU4tKyvDokWLuOW4+srPz8fEiRORk5MDFxcXREZG4q+//sJTTz0FAPjiiy8gEAgwduxYVFVVYciQIfjqq6+4xwuFQuzevRtTp05FTEwMHBwcMGnSJCxZssTQt2VzuC7KhkxjcSM7Au4vZarZaZizszMyMzMRGhqqczwrK8vgpJ80T1SAK/64lIvEzEKzJztqNYttpzPx6R/XUFonwfFykmJgmDcGh3sjpoOHWfYNeq6HH86kF+Cns1mYsT0Je2c8ZpWrZR5GW69jDaM6AGAvEaFzOxdcyCrC2VuFVpvsbPg7DSo1i8c7tkGknyvf4bSIwcnO559/jiFDhiA8PBxyuRwvvfQSbty4gTZt2uDHH3806Lk2btz40NtlMhni4uIQFxfX6H0CAwOxd+9eg163NajdMqJ501jakR2lioVSpYZYaHCzbZs2fvx4TJkyBStXrkTfvn0BAMePH8fcuXPx4osv8hxd66BNdszdXDA1vwzzdibjTM3+R+09HfBMFx88Fe6DyHYuvPS9WTyyMy7cLsK13FJM//E8fni9N0Q29D17itsPy3pGrXoGuuFCVhFO3yrAqKh2fIdjsPwSOX46mwXA+kd1gGYkO35+frhw4QK2b9+O5ORklJWVYcqUKXj55ZdhZ2d57btbK22vneZOY9X9i1SuVFGy84CVK1eCYRhMnDiR255ELBZj6tSpWLFiBc/RtQ7da3ZAN1dzQUW1Gl8fuYl1B1OhUKnhIBFi7pBOmBATxHthsEwsxFcvd8fwL4/hn/QCrN5/A3OGdOI1JmO5X1bFFXhby8gOAPQMdsd3x9Jx1kqbC248lg5FtRo9At3Qm6dpYmNqVp8dkUiEV155xdixECPS7o9lyDRU3aaCUpEADAOwrCYJcpKJTRKnNUlOTkaXLl0gEAggkUiwZs0aLF++HDdv3gQAdOjQAfb21jlcbY26tHOBSMDgbmmVyesizmUUYt7OZFzPKwMA9O/kiY9HR1jU/kztPR2xYmwkpv94HusOpaJHkBv6d/LiO6wW+yddkyx08nayquX10YGaZPx6XhmKKhRWtbVHUYUCW09lAABi+3ew6gJrrWYlOzdu3MChQ4eQn58PtVp35GDhwoVGCYy0jKwFIzv2EiEYhoFdTZGzXEGbgQJAVFQUcnJy4OXlhfbt2+PMmTPw8PBAREQE36G1SjKxEJ19nXHhdjESM4tMkuyUVVVj5V8p2HLyFlgW8HCQYNGIzhge2dYifwEM7+qL0+kF+L9TGZj9UxL2zHgcvhaUkDWHtdXraHk4StHe0wFpd8txLqMQA8O8m36QhdhyIgPlChXC2jrbRMIMNCPZ+fbbbzF16lS0adMGPj4+Ot/wDMNQsmMhmrPzed1dzwFwyQ6tyNJwdXVFeno6vLy8cOvWrXqJPjG/qAA3XLhdjPOZhRjR1deoz33wWh7m77qE7JotHJ7r4YcPh4ZZ/AaI858NQ1JWES7eKca0bYn46a0Yq56Gtqb+Og/qGeiOtLvlOHPLepKd8qpqbD6RDsB2RnWAZiQ7H3/8MZYtW4b333/fFPEQI2nOaiztNJZ9zUosGS0/1zF27Fj069cPbdtq/qqPjo6GUNjwapu0tDQzR9c6RQW4Iv6Epm7HWO6WVmHJ7iv4/YJmya2/ux2Wj47EYx2tozhWKhIi7qXuGPblUSRmFuE/f6Xg30PD+A6rWe6WVuFGfhkYBugdbH3JTnSQG346m2VVm4Ju+ycTRRVKtG/jgGe6tOU7HKMxONkpLCzEuHHjTBELMaIWFSjXJDt2tBmojg0bNmDMmDFITU3FjBkz8MYbb9Ayc55pi5SvZBdDrlS1aKk3y7L45dxtfLznKoorlRAwwBuPt8e7gx6xiKaFhgjwsMfKcV3x1v+dw4a/0xAd6IbBna2vq7x2CivUx9niR9Qaom2JkHy7qMWfT3OQK1X49qjmD7W3n+zAe+G9MRmc7IwbNw779u3D22+/bYp4iJFoR3aaW6Bc91/qtVPr6aefBgCcO3cOM2fOpGSHZ35udmjjKMW9sipczi5Gj8Dm1XVk3C/Hv3ddxPFUzS/Xzr7O+HRsJLq0s959zoZ09sHrjwXju2PpmLPjAva0dba6fY1OWmm9jlaAuz08naS4W1qF5Nv8Nb/U138TbyO/tAq+LjKM6mZ9y+UfxuBkJyQkBAsWLMCpU6cQEREBsVh3lc6MGTOMFhxpPqnYsJEdtZqtP7JD01iN2rx5M98hEGjqBKMCXJFwJQ/nM4sMTnaqVWpsPJaOL/Zfh1yphlQkwOynHsGUx4Jtok/N+8+E4lxmIc5nFiF2WyJ2vB3Djfpag9r+OtY3hQVoPp89g9yw92IuztwqsOhkp1qlaa0AAG8+0R4SkfV//usyONnZsGEDHB0dceTIkXq7kzMMQ8mOhTC0qWDdpEib5Mioi3KjysvLsWLFChw4cKDBVYlUs2M+3QPcuGTHEJfuFOP9/ybjcrZmz6W+HTzwyegIo+xbZSnEQgHWvdQdw9YeRfLtYnyy5yoWj+zCd1h6ySuRI+1uudXW62hFB7pj78Vci++383tyNrIKKuHhIMH4ngF8h2N0Bic76enppoiDGBm3GkvPAuW6ozfaeWWZiHY+b8zrr7+OI0eOYMKECVzBMuGHdlNQfXdAr1SosHr/dXx3LB0qNQsXOzHmDwvDcz38bPLr2M7VDl883w2T489gy8kM9Ax2x7ORxl25ZgraUZ3Ovs5wsbfePl89gzSjOWczCqFWs7x02G6KWs3iq0OaUZ0pjwdbXY2aPprVZ4dYPkMLlCsU1TWPE3BFaVSg3Lg//vgDe/bswaOPPsp3KK1epJ8LhAIGOcVy5BRXoq1L431ljt24h3/vuojMggoAwLORbbFoeGd4OllPs7rm6B/qhXee7ICvDt/EB/+9iM6+Lgi28BEsbsm5lU5haYW1dYKDRIhSeTVS8koR1taZ75Dq2XclDzfyy+AkE+GVPoF8h2MSek/KhYeHo6CgdhjunXfewb1797jr+fn51D3WghhaoCx/oF4HoALlh3Fzc4O7u+XOv7cm9hIRQn00heKNTWUVliswZ8cFvLLxH2QWVKCtiwwbJ0Vj3UvdbT7R0Zr91CPoFeyOsqpqvPNDosV/X9c2E7TuZEckFKB7TTdlS5zKYlkWXx1OBQBMigmCs412y9c72bl27Rq3BxAAbN26FSUlJdx1lmUhl8uNGx1pttqaHX1HdnRXYgHUZ+dhli5dioULF6KiooLvUAhqp7Ie3BSUZVn8diEbg1YdwS/nboNhgEkxgUiY3c9qmrwZi0gowJcvRqGNowRXc0qw+PfLfIfUqJziSty6XwEBo9ljytpF1xTOazePtSTHUu8h+XYx7MRCvPZYMN/hmEyzp7FYlq13zBbnu62VjFuNpV+iwi07rzuyw01jUafgB33++ee4efMmvL29ERQUVG9VYmJiIk+RtU7dA9yw9VSmTnPBO0WVWPDrJRy8lg8A6Oil2TuqR81f2a2Rt7MMa16Iwisb/8GPp7PQM8gdY7r78R1WPdoprIh2LjYx0tAzyHJHduIOaUZ1XuwVAHcr7GWkL6rZsVGGjuzU3fFci5aeN27UqFF8h0DqiKppLnjxjqa54PbTmfjPXykoV6ggEQoQ2z8EU5/sYHPLaZvj0ZA2mDmwI1bvv4EPd11CRDsXdPS2rH5R2mSnjxVuEdGQbgGuEAoYZBfLcaeo0mI2kD2XUYBTaQUQCxm88YTtjuoABiQ7DMPUG7mhkRzLxfXZ0Xc11gNbRQBUs/MwixYt4jsEUkeQhz3c7MUorFBi6JqjSLtXDkCz8/SKsREI8bKsX+Z8mz6gI87eKsSx1HuY+kMifpv2KOwllvO376l026jX0bKXiNClZtPaM+kFaBdlGQ374mpWYI3t7vfQwn5boPenm2VZDBw4ECKR5iGVlZUYPnw4JBLNsFfdeh7CP0P77Dy4CShQ22eHVmM17ty5c7h69SoAoHPnzoiKiuI5otZJ01zQDQev5SPtXjkcpSK8/0woXu4VYJFLffkmFDBY/UI3DF1zFKn5ZZi/6xI+f76rRfwBe7uwAlkFlRAKGG7Zti3oGeSuSXZuFWCUBSQ7l7OLcfBaPgQM8Ha/DnyHY3J6JzsP/iU7cuTIevcZO3ZsyyMiRlG7GoumsUwhPz8fL7zwAg4fPgxXV1cAQFFREfr374/t27fD09OT3wBboac7++DgtXwMCvPG0lGdbf4v1ZZq4yjFly9G4aXv/sHO83fQu727RTST005hRfq5wFFqOaNNLRUd5I7vjqXjrIUUKa8/rBnVeTbS16YaaTam2ckOsWzNLVBuaBqLkp36pk+fjtLSUly+fBlhYZodpa9cuYJJkyZhxowZ+PHHH3mOsPV5vqc/no7wsYmCVnPp3d4DcwZ3wqd/XsPC/11GRDtXhPvy0wemoFyBQ9fysen4LQDW31/nQdE1RcopeaUorlDy2igx7W4Z9lzMAQC809/2R3UAKlC2WQYXKDe4GsvwzURbiz///BP79+/nEh1A04sqLi4OgwcP5jGy1o0SHcO99UR7nLlVgIPX8hG7TVO/42SG88iyLG7kl2H/1TwcuJqPxMxC1F3kOzDMy+QxmFMbRynat3FA2r1ynMsswIBQ/loffH3kJlgWGBTmjVAfy2tyaAqU7NgoQzsoN1izI6aancao1ep6y80BQCwW19snixBLJhAw+HxcVzz75TGk3yvHB/+9iHUvRZmkfkdRrcbp9AJNgnMtD1kFlTq3h7V1xqAwLwzp7GPVO843JjrIDWn3ynHmViFvyc6dokrsTLwDoPWM6gCU7Nis2r2x9EtUKmgayyADBgzAzJkz8eOPP8LXV7PP0J07dzBr1iwMHDiQ5+gIMYybgwRfvhSF578+iT0Xc9D7lDsmxgQZ5bm101MHr+Xj7+t3UVpVu5hFIhKgbwcPDAz1woAwb4tZkm0q0UHu+PnsbZxJ56/fzrd/p6FazaJvBw90D2g9Paco2bFRXIGyniM78oYKlGnX80atW7cOI0aMQFBQEPz9/QEAWVlZ6NKlC7Zu3cpzdIQYrnuAG+YNDcPS3VewdPcVdPN3RaSfq8HPw7IsUvPLsP9qPg5czUNiZiHUdaan2jhKMSDUEwPDvPFYSBs42FARclN61awuS76t6QdVdyTdHO6VVWH7mUwAQGz/ELO+Nt9az6esldFOYymq1WBZtskh6YamsexoGqtR/v7+SExMxP79+3Ht2jUAQFhYGAYNGsRzZIQ032uPBuF0+n38dTkP7/yQiD3TH9erkLbu9NTBa/ncRqta2umpAaFe6Orn2mrbAQR62KONoxT3yqpw8U6x2ZfWbzqWDrlSjW7+ruhrIw0b9dWsZOfAgQM4cOAA8vPz69UnbNq0ySiBkZaRiWs7xVZVq5v8C6J2Gqv2I1F3GkufhKm1YRgGTz31FJ566im+QyHEKBiGwWfPdcXVnGPILKjAnF8uYMOEHg1+7xeUK3A4JR8HrjYwPSUUIKaDhybBaQXTU/piGAY9g9zwx6VcnLlVYNZkp7hSif87mQFAM6rT2n6eG9w7ffHixRg8eDAOHDiAe/fuobCwUOdCLIN2ZAfQr0i5dtfz2o+EtqmgmgUUKiq6BYCDBw8iPDxcZxNcreLiYnTu3BlHjx412esvW7YMffv2hb29PdffxxBvv/02GIbB6tWrjR4bsQ0udmJ89XJ3SIQCJFzJw8Zj6QBqVk/llWL94Zt4bv0JRH+cgNk/X8CeizkorapGG0cJno/2wzcTeuD8wqew5bVemBATRInOA6JrEhxz99vZeioDpVXV6OTthIGhtrXSTR8Gj+x8/fXXiI+Px4QJE0wRDzESsZABwwAsq+218/Ch6IZ2Pa/7f7lCrZNAtVarV6/GG2+8AWfn+ss1XVxc8NZbb2HVqlV4/PHHTfL6CoUC48aNQ0xMDDZu3GjQY3ft2oVTp05xBdWENKZLOxcsHB6O+b9ewoo/ruHm3TIcT73f4PTUwFAvDAxr3dNThqi7KWjClTyzvCbLslzS+k7/Dq3y62RwsqNQKNC3b19TxEKMiGEYSEUCyJVqvfbHqu2zU/uREAsFEAkYVKtZVCpVcGkiYWoNLly4gE8//bTR2wcPHoyVK1ea7PUXL14MAIiPjzfocXfu3MH06dPx119/YdiwYSaIjNial3sH4HR6AX67kI0fT2cBoOkpYwhv6wx7iRAl8mq88f1Zs752oIc9hkW0NetrWgqDk53XX38d27Ztw4IFC0wRDzEiqUioSXb06KLc0Gos7fXSqmpakVUjLy+vwf46WiKRCHfv3jVjRE1Tq9WYMGEC5s6di86dO+v1mKqqKlRVVXHXG5q2I7aNYRh8MiYCIiEDkYBplaunTEEkFGDe0DDsTLxt1tcVCwSYPjAEIqHB1Ss2weBPrVwux4YNG7B//35ERkbW+8G/atUqowVHWkYmFqC4Ur/9sRrqswNodk8vraqmXjs12rVrh0uXLiEkpOFlm8nJyWjb1rL+cvr0008hEokwY8YMvR+zfPlybhSJtF6OUhFWPd+N7zBszoQ+gZjQJ5DvMFoVg1O85ORkdOvWDQKBAJcuXcL58+e5S1JSkglCJM1lSBflhpaeA7UFy5TsaAwdOhQLFiyAXC6vd1tlZSUWLVqEZ5991qDn/OCDD8AwzEMv2uXthjp37hzWrFmD+Ph4g1ZfzJs3D8XFxdwlKyurWa9PCCGWwOCRnUOHDpkiDmICtftjNZ2ocLueS+pPYwGAnHrtAADmz5+PnTt34pFHHsG0adPQqVMnAMC1a9cQFxcHlUqFDz/80KDnfO+99/Dqq68+9D7t27dvVrxHjx5Ffn4+AgJqd7NWqVR47733sHr1aty6davBx0mlUkil0ma9JiGEWJoWTb7evq2Zc/Tz8zNKMMS4uC0jmhjZUalZKGruY99AzQ5AIzta3t7eOHHiBKZOnYp58+aBrdm5kGEYDBkyBHFxcfD2NmzPG09PT3h6epoiXEyYMKFeo8MhQ4ZgwoQJmDx5sklekxBCLI3ByY5arcbHH3+Mzz//HGVlZQAAJycnvPfee/jwww8hELTO4idLxE1jNZGo1E1kHhzZkVGyU09gYCD27t2LwsJCpKamgmVZdOzYEW5upt9nJjMzEwUFBcjMzIRKpeKmjkNCQuDo6AgACA0NxfLlyzF69Gh4eHjAw0O3U6pYLIaPjw83KkUIIbbO4GTnww8/xMaNG7FixQo8+uijAIBjx47ho48+glwux7Jly4weJGme2mmsh4/saJedM0ztY7S0yQ9tGVGfm5sbevbsadbXXLhwIbZs2cJdj4qKAqCZXn7yyScBACkpKSguLjbq62pHsGhVFiHEVLQ/X7Q/b4zJ4GRny5Yt+O677zBixAjuWGRkJNq1a4d33nmHkh0Loh2VaarPTmWdhoIPFrFyNTs0smMR4uPjm+yx09QPisbqdB6mtLQUALhNTwkhxFRKS0vh4uJi1Oc0ONkpKChAaGhoveOhoaEoKOBv23pSn74FypWN9Nipe4ymsVo3X19fZGVlwcnJyWL31CkpKYG/vz+ysrIa7HBtC+g92gZ6jw1jWRalpaUm6fJucLLTtWtXrFu3DmvXrtU5vm7dOnTt2tVogZGW03caq0Kh2cCvoc1CZdw0Fu2N1ZoJBAKrWYjg7Oxss79AtOg92gZ6j/UZe0RHy+Bk57PPPsOwYcOwf/9+xMTEAABOnjyJrKws7N271+gBkubTt8+OdtTmwYaCAI3sEEIIsX4GL53q168frl+/jtGjR6OoqAhFRUUYM2YMUlJSTLb5IWke7dLzpupt5I302AGoZocQQoj1a1afHV9fXypEtgJcgXKT01gPqdmh1VjESkilUixatMimmyHSe7QN9B7NT69kJzk5GV26dIFAIEBycvJD7xsZGWmUwEjLcTU7TfXZUTQ+skN9doi1kEql+Oijj/gOw6ToPdoGeo/mp1ey061bN+Tm5sLLywvdunUDwzANLm9lGAYqFf1StBT6Fig3tuN53WOU7BBCCLFWeiU76enpXDv79PR0kwZEjEffAuWKh4zsaDcCpZodQggh1kqvZCcwsHYr+oyMDPTt2xcike5Dq6urceLECZ37En7pW6CsV58dqtkhhBBipQxejdW/f/8GmwcWFxejf//+RgmKGIfMwKXnDSU7VLNDCCHE2hmc7LAs22AH1fv378PBwcEoQRHjqN31XL8CZeqzQ6zNihUrwDAM3n33XQCaDu/Tp09Hp06dYGdnh4CAAMyYMcPoe4WZ04PvsS6WZfHMM8+AYRj8+uuvZo/NWBp7jydPnsSAAQPg4OAAZ2dnPPHEE6isrOQnyBZq6D3m5uZiwoQJ8PHxgYODA7p3747//ve//AVpoI8++ggMw+hc6u6wIJfLERsbCw8PDzg6OmLs2LHIy8vjJVa9l56PGTMGgKYI+dVXX9VZTqZSqZCcnIy+ffsaP0LSbLWrsfTbG0vWYM1OTZ8dmsYiFubMmTP45ptvdFaAZmdnIzs7GytXrkR4eDgyMjLw9ttvIzs7G7/88guP0TZPQ++xrtWrV1vs9h36auw9njx5Ek8//TTmzZuHL7/8EiKRCBcuXIBAYPDf6Lxr7D1OnDgRRUVF+O2339CmTRts27YNzz//PM6ePctt8mvpOnfujP3793PX65a4zJo1C3v27MGOHTvg4uKCadOmYcyYMTh+/LjZ49T7U+Pi4gIXFxewLAsnJyfuuouLC3x8fPDmm29i69atpoyVGEjvAmU9prHkTTwHIeZUVlaGl19+Gd9++y3c3Ny44126dMF///tfDB8+HB06dMCAAQOwbNky/P7776iuruYxYsM19h61kpKS8Pnnn2PTpk08RGccD3uPs2bNwowZM/DBBx+gc+fO6NSpE55//nmL6duir4e9xxMnTmD69Ono1asX2rdvj/nz58PV1RXnzp3jKVrDiUQi+Pj4cJc2bdoA0JS2bNy4EatWrcKAAQPQo0cPbN68GSdOnMCpU6fMHqfeyc7mzZuxefNmLFq0CBs3buSub968Gd988w3mzZvHvUliGfTdCFSuzzQWjewQCxIbG4thw4Zh0KBBTd63uLgYzs7O9RZVWLqHvceKigq89NJLiIuLg4+PDw/RGUdj7zE/Px///PMPvLy80LdvX3h7e6Nfv344duwYT5E238O+jn379sVPP/2EgoICqNVqbN++HXK5HE8++aT5A22mGzduwNfXF+3bt8fLL7+MzMxMAMC5c+egVCp13ndoaCgCAgJw8uRJs8dp8Hf/okWLTBEHMYHa1Vj6FSg3uBFonZqdxuq1CDGn7du3IzExEWfOnGnyvvfu3cPSpUvx5ptvmiEy42nqPc6aNQt9+/bFyJEjzRyZ8TzsPaalpQHQ1ISsXLkS3bp1w/fff4+BAwfi0qVL6Nixo7nDbZamvo4///wzxo8fDw8PD4hEItjb22PXrl0ICQkxc6TN07t3b8THx6NTp07IycnB4sWL8fjjj+PSpUvIzc2FRCKBq6urzmO8vb2Rm5tr9lib9afOL7/8gp9//hmZmZlQKBQ6tyUmJholMNJytdNYDx+VqeBGdup/HOr23qmqVjeYEBFiLllZWZg5cyYSEhIgk8keet+SkhIMGzYM4eHhFtXJtSlNvcfffvsNBw8exPnz53mIzjiaeo9qteYPtLfeeguTJ08GAERFReHAgQPYtGkTli9fbtZ4m0Ofz+qCBQtQVFSE/fv3o02bNvj111/x/PPP4+jRo4iIiDBzxIZ75plnuP9HRkaid+/eCAwMxM8//ww7OzseI6vP4EqvtWvXYvLkyfD29sb58+fRq1cveHh4IC0tTeeNE/7JxC3voCwT1X5EaCqL8O3cuXPIz89H9+7dIRKJIBKJcOTIEaxduxYikYjr4F5aWoqnn34aTk5O2LVrF8RiMc+R66+p95iQkICbN2/C1dWVux0Axo4dazXTH029R29vbwBAeHi4zuPCwsK4aRJL19R7vHnzJtatW4dNmzZh4MCB6Nq1KxYtWoTo6GjExcXxHX6zuLq64pFHHkFqaip8fHygUChQVFSkc5+8vDxepl4NHtn56quvsGHDBrz44ouIj4/Hv/71L7Rv3x4LFy5ssP8O4Q83sqPnNJa2W3JdIqEAEqEACpUalUoV6pdJEmI+AwcOxMWLF3WOTZ48GaGhoXj//fchFApRUlKCIUOGQCqV4rfffmtyBMjSNPUe27Rpg7feekvn9oiICHzxxRcYPny4OUNttqbeY/v27eHr64uUlBSd+1y/ft1q/qhu6j1WVFQAQL3VZUKhkBvZsjZlZWW4efMmJkyYgB49ekAsFuPAgQMYO3YsACAlJQWZmZmIiYkxe2wGJzuZmZncEnM7OzuUlpYCACZMmIA+ffpg3bp1xo2QNFvdAuWH1dvU7nre8MdBJq5Ndgjhk5OTE7p06aJzzMHBAR4eHujSpQtKSkowePBgVFRUYOvWrSgpKUFJSQkAwNPTE0Kh5U/DNvUeATT4l3FAQACCg4PNEmNL6fMe586di0WLFqFr167o1q0btmzZgmvXrllNC4Gm3qNSqURISAjeeustrFy5Eh4eHvj111+RkJCA3bt38xS1YebMmYPhw4cjMDAQ2dnZWLRoEYRCIV588UW4uLhgypQpmD17Ntzd3eHs7Izp06cjJiYGffr0MXusBic7Pj4+KCgoQGBgIAICAnDq1Cl07doV6enpDW4OSvijHdlRs4BSxUIiajjZkT9kbyzt8RJ5NU1jEYuXmJiIf/75BwDqFXmmp6cjKCiIh6hIc7z77ruQy+WYNWsWCgoK0LVrVyQkJKBDhw58h2YUYrEYe/fuxQcffIDhw4ejrKwMISEh2LJlC4YOHcp3eHq5ffs2XnzxRdy/fx+enp547LHHcOrUKW4vzS+++AICgQBjx45FVVUVhgwZgq+++oqXWBnWwAzl9ddfh7+/PxYtWoS4uDjMnTsXjz76KM6ePYsxY8Zg48aNporVZEpKSuDi4sItUbUVcqUKoQv+BABc/GgwnGQN1y2E/HsvqtUsTs0bCB+X+kP+T/7nEG7dr8Avb8cgOsjdpDETQggh+tL397fBIzsbNmzg5hO1baBPnDiBESNG1JtHJvyS1ikurqpWw6mB+yiq1ahWa/LdxkZ2aH8sQggh1szgZEcgEOgUVL3wwgt44YUXjBoUMQ6GYSARCaCoVje6IqtuAtPQaiygNgmiaSxCCCHWqFl9duRyOZKTk5Gfn1+vanzEiBFGCYwYh1Sb7DQyKqNddi4UMBALG67poc1ACSGEWDODk50///wTEydOxL179+rdxjAM1+eCWAapSIhSVDc6ssM1FBQLG12tpU125JTsEEIIsUIGNxWcPn06xo0bh5ycHKjVap2LoYnO8uXL0bNnTzg5OcHLywujRo2q11dBny3iMzMzMWzYMNjb28PLywtz5861uk3/TEVbt9NYovKwHc+1ZDSNRQghxIoZnOzk5eVh9uzZXIfLljhy5AhiY2Nx6tQpJCQkQKlUYvDgwSgvL+fuM2vWLPz+++/YsWMHjhw5guzsbIwZM4a7XaVSYdiwYVAoFDhx4gS2bNmC+Ph4LFy4sMXx2YKmuihXKjVJYUObgGrVTmNZZ6MrQgghrZvB01jPPfccDh8+bJReB3/++afO9fj4eHh5eeHcuXN44oknuC3it23bhgEDBgDQ7L4eFhaGU6dOoU+fPti3bx+uXLmC/fv3w9vbG926dcPSpUvx/vvv46OPPoJEIqn3ulVVVaiqquKua5uO2aLa/bEaSXYUmuONFSfXvY1qdgghhFgjg5OddevWYdy4cdxGZQ/uOTNjxoxmB1NcXAwAcHfX9HJpaov4Pn364OTJk4iIiNAZaRoyZAimTp2Ky5cvIyoqqt7rLF++HIsXL252nNZEu/N5YwXKD9vxXEu7GotqdgghhFgjg5OdH3/8Efv27YNMJsPhw4d1iloZhml2sqNWq/Huu+/i0Ucf5Vps67NFfG5ubr0pNe31xraRnzdvHmbPns1dLykpgb+/f7PitnS1W0Y0VqDc9DQW12eHanYIIRYgPj4e7777br1NJglpjME1Ox9++CEWL16M4uJi3Lp1C+np6dwlLS2t2YHExsbi0qVL2L59e7OfQ19SqRTOzs46F1ulncZqbFTmYTuea9E0FiHmNXz4cDz99NMN3nb06FEwDIPk5GTu2JYtW9CzZ0/Y29vDyckJ/fr1q7e/kvaP04Yujf1heOvWLTAMg6SkJJ3nMGeSERQUhNWrV+scGz9+PK5fv262GIj1MzjZUSgUGD9+fL2dWlti2rRp2L17Nw4dOgQ/Pz/uuD5bxPv4+NRbnaW9zsc28pamyQJlPVZj2YkfvqKLEGJcU6ZMQUJCAm7fvl3vts2bNyM6OhqRkZEANJsxvvXWWxg/fjySk5Nx+vRpPPbYYxg5cmSDGzOnpKQgJydH5+Ll5WXy91QXy7ItWjFrZ2dn9piJdTM4Y5k0aRJ++ukno7w4y7KYNm0adu3ahYMHD9bbsbfuFvFaD24RHxMTg4sXLyI/P5+7T0JCApydnREeHm6UOK1ZUwXKFcraPjuNkVGfHULM6tlnn4Wnpyfi4+N1jpeVlWHHjh2YMmUKAODUqVP4/PPP8Z///Adz5sxBSEgIwsLCsGzZMrz77ruYPXs2srKydJ7Dy8sLPj4+Ohd9/ni9desW+vfvDwBwc3MDwzB49dVXAWjKEJYvX47g4GDY2dmha9euOruTa0eE/vjjD/To0QNSqRTHjh3DzZs3MXLkSHh7e8PR0RE9e/bE/v37ucc9+eSTyMjIwKxZs7hRKEAzjfVgecP69evRoUMHSCQSdOrUCf/3f/+nczvDMPjuu+8wevRo2Nvbo2PHjvjtt9+42wsLC/Hyyy/D09MTdnZ26NixIzZv3tzkeSHWweBkR6VS4bPPPkO/fv0wffp0zJ49W+diiNjYWGzduhXbtm2Dk5MTcnNzkZubi8rKSgDQ2SL+0KFDOHfuHCZPnqyzRfzgwYMRHh6OCRMm4MKFC/jrr78wf/58xMbGQiqVGvr2bE5tzU4j01hN7Hhe9zaaxiLEPEQiESZOnIj4+HjU3at5x44dUKlUePHFFwFoaigdHR0b3Jfwvffeg1KpxH//+1+jxOTv7889l3Z0aM2aNQA0iz6+//57fP3117h8+TJmzZqFV155BUeOHNF5jg8++AArVqzA1atXERkZibKyMgwdOhQHDhzA+fPn8fTTT2P48OHIzMwEAOzcuRN+fn5YsmQJNwrVkF27dmHmzJl47733cOnSJbz11luYPHkyDh06pHO/xYsX4/nnn0dycjKGDh2Kl19+GQUFBQCABQsW4MqVK/jjjz9w9epVrF+/Hm3atDHKuSP8M7hA+eLFi9wKp0uXLunc1lgH3sasX78egCZ7r2vz5s3cXwxNbREvFAqxe/duTJ06FTExMXBwcMCkSZOwZMkSA9+ZbapdjfXwvbEeVrNDBcqEmN9rr72G//znPzhy5Aj3M3Lz5s0YO3YsXFxcAADXr1/nRjMe5OvrC2dn53q1LXVLBQAgMDAQly9fbjIeoVDIrZT18vLiRlaqqqrwySefYP/+/dyIe/v27XHs2DF888036NevH/ccS5YswVNPPcVdd3d3R9euXbnrS5cuxa5du/Dbb79h2rRpcHd3h1AohJOT00PLElauXIlXX30V77zzDgBg9uzZOHXqFFauXMmNRgHAq6++yiWKn3zyCdauXYvTp0/j6aefRmZmJqKiohAdHQ1AUytEbIdByY5KpcLixYsREREBNze3Fr943b9YGiOTyRAXF4e4uLhG7xMYGIi9e/e2OB5b1OQ0lj4jO9RUkBCzCw0NRd++fbFp0yY8+eSTSE1NxdGjR+v9IdfUz9EHE6GjR4/CycmJu/5g+xBDpaamoqKiQieJATT1nQ+2/tAmElplZWX46KOPsGfPHuTk5KC6uhqVlZXcyI6+rl69ijfffFPn2KOPPsqNPGlp65wAwMHBAc7OzlwJxNSpUzF27FgkJiZi8ODBGDVqFPr27WtQHMRyGZTsCIVCDB48GFevXjVKskNMT9ZEcbE+IzvUZ4cQfkyZMgXTp09HXFwcNm/ejA4dOuiMlHTs2BHHjh2DQqGol9RkZ2ejpKQEjzzyiM7x4ODgevUuLVFWVgYA2LNnD9q1a6dz24OlBA4ODjrX58yZg4SEBKxcuRIhISGws7PDc889B4VCYbT46nowsWMYhtvM+plnnkFGRgb27t2LhIQEDBw4ELGxsVi5cqVJYiHmZXDNTpcuXVq0xJyYV9MdlA0Y2aFpLELM6vnnn4dAIMC2bdvw/fff47XXXtMpF3jxxRdRVlaGb775pt5jV65cCZlMhvHjxxstHm1CVXcfxPDwcEilUmRmZiIkJETn0lT/suPHj+PVV1/F6NGjERERAR8fH9y6daveaza172JYWBiOHz9e77kNXaTi6emJSZMmYevWrVi9ejU2bNhg0OOJ5TK4Zufjjz/GnDlzsHTpUvTo0aNepm7LPWusUVMFygbV7NDIDiFm5ejoiPHjx2PevHkoKSnhahm1YmJiMHPmTMydOxcKhQKjRo2CUqnE1q1bsXbtWsTHx8PDw0PnMfn5+ZDL5TrHPDw89JrOCgwMBMMw2L17N4YOHQo7Ozs4OTlhzpw5mDVrFtRqNR577DEUFxfj+PHjcHZ2xqRJkxp9vo4dO2Lnzp0YPnw4GIbBggULuJEWraCgIPz999944YUXIJVKGywanjt3Lp5//nlERUVh0KBB+P3337Fz506dlV1NWbhwIXr06IHOnTujqqoKu3fvRlhYmN6PJ5bN4GRn6NChAIARI0bo/IXBsiwYhjF453NiWk11UNZrZIdWYxHCmylTpmDjxo0YOnQofH19692+evVqREZG4quvvsL8+fMhl8shkUhw8OBBPPHEE/Xu36lTp3rHtNvvNKVdu3ZYvHgxPvjgA0yePJlbMbZ06VJ4enpi+fLlSEtLg6urK7p3745///vfD32+VatW4bXXXkPfvn3Rpk0bvP/++/X2KlyyZAneeustdOjQAVVVVQ3WKI0aNQpr1qzBypUrMXPmTAQHB2Pz5s31Fr88jEQiwbx583Dr1i3Y2dnh8ccfN0uTW2IeDKtPlXAdDy4lfFDd+WRrUVJSAhcXFxQXF9vcyNSPpzMxb+dFDArzxneTouvdPmLdMSTfLsamV6MxILThnewLyhXovjQBAHDzk6EQCgxbdUcIMZ9bt26hX79+iImJwQ8//AChsPE/ZAixdvr+/jZ4ZMcak5nWrMlpLG0HZT22iwA0RcoOUoM/NoQQMwkKCsLhw4exZcsWJCUloUePHnyHRAjvmvVbq6ioCBs3bsTVq1cBAJ07d8Zrr73G9X4glkObxLSkz442YdLen5IdQixbcHAwPvroI77DIMRiGLwa6+zZs+jQoQO++OILFBQUoKCgAKtWrUKHDh2QmJhoihhJC+g7smMvaTyBEQgYbgk7rcgihBBibQz+E33WrFkYMWIEvv32W4hEmodXV1fj9ddfx7vvvou///7b6EGS5mty6bkeIzva2+VKNfXaIYQQYnUMTnbOnj2rk+gAmn1c/vWvf9Xrjkn4J33Irucsy3LJjkzy8EE+O7EQhVDSiixCCCFWx+BpLGdn5wZbeWdlZem0ICeWQTuN1dCITFW1Gtq1eA+bxgIAmYQaCxJCCLFOBic748ePx5QpU/DTTz8hKysLWVlZ2L59O15//XVugzViObgC5QZGduomLjJR0yM7APXaIYQQYn0MnsZauXIlGIbBxIkTUV1dDUCz38jUqVOxYsUKowdIWoYrUG4gSamoOSYRCiAS6pfsUM0OIYQQa6NXspOcnIwuXbpAIBBAIpFgzZo1WL58OW7evAkA6NChA+zt7U0aKGmehxUo69M9WYu6KBNCCLFWek1jRUVF4d69ewCA9u3b4/79+7C3t0dERAQiIiIo0bFg2pGdajWLapVuwiPXcyUWUGd/LEXDq7oIIYQQS6VXsuPq6or09HQAmlbkD27URiyXdjUWACgeSHYquB47eozs0DQWIYQQK6XXNNbYsWPRr18/tG3bFgzDIDo6utH9VtLS0owaIGkZ7TQWAMiVathLam/jlp3rNbIj0HkMIYQQYi30SnY2bNiAMWPGIDU1FTNmzMAbb7xBy8ythFDAQCxkoFSx9booG1SzQyM7hBBCrJTeq7GefvppAMC5c+cwc+ZMSnasiFQkhFJVXW9/rEqlZjWdPtNY1GeHEEKItTJ46fnmzZtNEQcxIalIgLKq+iuytMXG+kxjUZ8dQggh1srgZKe8vBwrVqzAgQMHkJ+fX69YmWp2LE9jm4Hquy9W3ftQskMIIcTaGJzsvP766zhy5AgmTJjAFSwTyybl6m0eHNnRfxpLW9dDNTuEEEKsjcHJzh9//IE9e/bg0UcfNUU8xASaGtnRbzUW1ewQQgixTgbvjeXm5gZ3d3dTxEJMRDuyU69AuaZmx5DVWDSNRQghxNoYnOwsXboUCxcuREVFhSniISZQO7LTyGosg2p2qKEkIYQQ62LwNNbnn3+OmzdvwtvbG0FBQRCLxTq3JyYmGi04YhyNTmM1Y28sOU1jEUIIsTIGJzujRo0yQRjElBrbDLTCgGRHRtNYhBBCrJTByc6iRYtMEQcxIe1WDw+upKKl54QQQloDg5MdrXPnzuHq1asAgM6dOyMqKspoQRHjamxkx5Bdz2kaixBCiLUyONnJz8/HCy+8gMOHD8PV1RUAUFRUhP79+2P79u3w9PQ0doykhbQ7nz+4GsuQaSwa2SGEEGKtDF6NNX36dJSWluLy5csoKChAQUEBLl26hJKSEsyYMcMUMZIWMmYH5Wo1C6WKVmQRQgixHgaP7Pz555/Yv38/wsLCuGPh4eGIi4vD4MGDjRocMY5Gp7EMKVCW1ObFlUoVxEKD82RCCCGEFwb/xlKr1fWWmwOAWCyut08WsQzakZ0HC5Qraq7rs12ERCiAoGZnEKrbIYQQYk0MTnYGDBiAmTNnIjs7mzt2584dzJo1CwMHDjRqcMQ4tMvG6+96rv92EQzDUN0OIYQQq2RwsrNu3TqUlJQgKCgIHTp0QIcOHRAcHIySkhJ8+eWXpoiRtFBDHZTVapa7rk/NDlA73UXJDiGEEGticM2Ov78/EhMTsX//fly7dg0AEBYWhkGDBhk9OGIctauxapOUugmLvUS/j4G29ufB3dMJIYQQS9asPjsMw+Cpp57CU089Zex4iAk0VKBcN9nRjvw0hRvZoZodQgghVkTvaayDBw8iPDwcJSUl9W4rLi5G586dcfToUaMGR4yjoaXn3L5YYiEE2srjJminux4sdCaEEEIsmd7JzurVq/HGG2/A2dm53m0uLi546623sGrVKqMGR4xDJq4//cT12NFjJZYWFSgTQgixRnonOxcuXMDTTz/d6O2DBw/GuXPnjBIUMa6GCpTrjuzoS0bTWIQQQqyQ3slOXl5eg/11tEQiEe7evWuUoIhxNTSNZchWEVp2NYXONLJDCCHEmuid7LRr1w6XLl1q9Pbk5GS0bdvWKEER45Jq++zUmcYyZBNQLarZIYQQYo30TnaGDh2KBQsWQC6X17utsrISixYtwrPPPmvU4IhxNDiN1Zxkh6axCCGEWCG9l57Pnz8fO3fuxCOPPIJp06ahU6dOAIBr164hLi4OKpUKH374ockCJc3HJTvKlk1jyahAmRBCiBXSO9nx9vbGiRMnMHXqVMybNw8sywLQ9NwZMmQI4uLi4O3tbbJASfM1tF1Es0Z2KNkhhBBihQxqKhgYGIi9e/eisLAQqampYFkWHTt2hJubm6niI0agHdlRqNRQq1kIBIxBO55rUc0OIYQQa9SsDspubm7o2bOnsWMhJiKtM3qjUKkhEwibtxqLanYIIYRYIYM3AiXWp+52ENoVWc2ZxqKaHUIIIdaIkp1WQCRgoN0RQttrp1JRDaC5NTu0ESghhBDrQclOK8AwTL0tI5q1XUTNfeU0jUUIIcSKULLTSjzYRVk7OkOrsQghhNg6SnZaCalId/m5dhrLnvrsEEIIsXGU7LQSUvGDIzu0GosQQkjrQMlOK1HbRVk7sqNJWGS0NxYhhBAbR8lOK6GdxpLXjOxo++wYMo1FNTuEEEKsESU7rYRMrDuy05xdz7XPIVequO1CCCGEEEtHyU4rUa9AWWn4NJasZhRIzWo6MRNCCCHWgJKdVuLBpectmcYCALmCkh1CCCHWgZKdVqJ2NdYD01gGJDtioQCimlbMVLdDCCHEWlCy00pw01hKNZQqNZQqTc2NITU7de9PyQ4hhBBrQclOK1G3uLhuomLIyA5QW7dDvXYIIYRYC16Tnb///hvDhw+Hr68vGIbBr7/+qnM7y7JYuHAh2rZtCzs7OwwaNAg3btzQuU9BQQFefvllODs7w9XVFVOmTEFZWZkZ34V1qFugrN3bSsAAEqFhHwEa2SGEEGJteE12ysvL0bVrV8TFxTV4+2effYa1a9fi66+/xj///AMHBwcMGTIEcrmcu8/LL7+My5cvIyEhAbt378bff/+NN99801xvwWrULVCuLU4WgWEYg56HGgsSQgixNiI+X/yZZ57BM8880+BtLMti9erVmD9/PkaOHAkA+P777+Ht7Y1ff/0VL7zwAq5evYo///wTZ86cQXR0NADgyy+/xNChQ7Fy5Ur4+vqa7b1YutpkR92sZedaNI1FCCHE2lhszU56ejpyc3MxaNAg7piLiwt69+6NkydPAgBOnjwJV1dXLtEBgEGDBkEgEOCff/5p9LmrqqpQUlKic7F1UnFtgXLtvliGf/ntamp/aBqLEEKItbDYZCc3NxcA4O3trXPc29ubuy03NxdeXl46t4tEIri7u3P3acjy5cvh4uLCXfz9/Y0cveXRjuzIq1XcqIy92PCBParZIYQQYm0sNtkxpXnz5qG4uJi7ZGVl8R2SyemM7Gg3ATVwJRZQu3qLanYIIYRYC4tNdnx8fAAAeXl5Osfz8vK423x8fJCfn69ze3V1NQoKCrj7NEQqlcLZ2VnnYuvqFihz01hiw7/82jofqtkhhBBiLSw22QkODoaPjw8OHDjAHSspKcE///yDmJgYAEBMTAyKiopw7tw57j4HDx6EWq1G7969zR6zJdMpUK6zGstQNI1FCCHE2vC6GqusrAypqanc9fT0dCQlJcHd3R0BAQF499138fHHH6Njx44IDg7GggUL4Ovri1GjRgEAwsLC8PTTT+ONN97A119/DaVSiWnTpuGFF16glVgPqNtnp7IZO55rUbJDCCHE2vCa7Jw9exb9+/fnrs+ePRsAMGnSJMTHx+Nf//oXysvL8eabb6KoqAiPPfYY/vzzT8hkMu4xP/zwA6ZNm4aBAwdCIBBg7NixWLt2rdnfi6Wr3RtL1aKl51zNDk1jEUIIsRK8JjtPPvkkWJZt9HaGYbBkyRIsWbKk0fu4u7tj27ZtpgjPpshE2sJidbN2POeeh0Z2CCGEWBmLrdkhxlV3ZKc5O55r1U5jqY0XHCGEEGJClOy0ElyBslKNCkU1gGbW7FAHZUIIIVaGkp1WQqdAWaEZlWnJyE5VNSU7hBBCrAMlO61E3T478hasxpJpt4ugkR1CCCFWgpKdVkImri1QLtdOY1GBMiGEkFaAkp1WQlqnW3JJpRIA9dkhhBDSOlCy00pop7EAoKglyQ712SGEEGJlKNlpJSTCOslOhSbZaU6fHRrZIYQQYm0o2WklGIbhRneKKhQAmrfrOdXsEEIIsTaU7LQi2mRHXdO0ukXTWEo11OrGu18TQgghloKSnVbkwb2wWjKNBWh69hBCCCGWjpKdVqTuiiyguX12ah9DU1mEEEKsASU7rYi2i7JWc/rsCAUMJDXTYZTsEEIIsQaU7LQidZefA/WntfTFrcii5eeEEEKsACU7rUjdZEcsZCAWNu/Lb8d1Y6ZkhxBCiOWjZKcVqTuS05x6He6xElp+TgghxHpQstOK1B3ZaU69jpaMprEIIYRYEUp2WpG6BcotGtkRU4EyIYQQ60HJTitSd+m5nUTU7OepbSxIyQ4hhBDLR8lOK6IzjSVu/peeVmMRQgixJpTstCI6BcrGqNmhkR1CCCFWgJKdVkR3ZKcF01iU7BBCCLEilOy0IjoFykYY2ZEraW8sQgghlo+SnVbEaDU7VKBMCCHEilCy04rUXY1l34LVWNRnhxBCiDWhZKcVqTuN1dx9sQCq2SGEEGJdKNlpRWQ6IzvUVJAQQkjrQMlOK2K0Dsramh2axiKEEGIFKNlpReoWKMuozw4hhJBWgpKdVkSnQJlqdgghhLQSlOy0Isbqs6N9LK3GIoQQYg0o2WlF6hYot2zXc+qzQwghxHpQstOKGLuDMk1jEUIIsQaU7LQiuh2UaRqLEEJI60DJTititJod2huLEEKIFaFkpxWRGrlmR6FSo1pFCQ8hhBDLRslOK6IzjWWE1VgAIK+mZIcQQohlo2SnFbGXiGAnFkImFsBR2vyNQOsmTVS3QwghxNI1/zcesToSkQDxk3tCzbZsI1CGYWAnFqJSqaLl54QQQiweJTutTO/2HkZ5HjuJJtmh5eeEEEIsHU1jkWbhtoygaSxCCCEWjpId0izabsw0skMIIcTSUbJDmkVGW0YQQgixEpTskGah/bEIIYRYC0p2SLNwW0ZQskMIIcTCUbJDmoXbDFRBTQUJIYRYNlp6TppFO40VdygVOcWVeDbSF518nHiOihBCCKmPkh3SLM908cFfl3Nxp6gSXx5MxZcHU9HRyxHPRvri2a5t0cHT0WivpVaz2HY6Eyo1iwl9AiEQMEZ7bkIIIbaPYVmW5TsIvpWUlMDFxQXFxcVwdnbmOxyrUVZVjQNX8/D7hRz8ff0uFHU2BQ1v64xnu7bF8Ehf+LvbN/s1CsoVePenJPx9/S4AYFCYF1a/ENWi7S4IIYTYBn1/f1OyA0p2jKG4Uol9l3OxOzkHx1PvoVpd+7F6posPPhwWBj83w5Ke85mFiP0hEdnFcsjEAqhZQFGtRidvJ3w3KbpFSRQhhBDrR8mOASjZMa7CcgX+vJyL3cnZOHnzfs1eXALEPhmCN55o3+S+XCzLYsuJW1i29yqUKhbBbRyw/pXuqFSo8Ob/ncPd0iq42Yvx9Ss9jLb9BSGEEOtDyY4BKNkxnWu5JVj4v8s4nV4AAAhwt8ei4eEYGObd4P3LqqrxwX+TsTs5BwAwNMIHn46NhJNMDADIKa7Em9+fw8U7xRAJGCwd1QUv9gowz5shhBBiUSjZMQAlO6bFsix+u5CNT/ZeRV5JFQBgYKgXFg4PR6CHA3e/63mleHvrOaTdLYdIwODfQ8Mw+dEgMIxuQXKlQoW5v1zgEqJX+wZh/rAwiITUSYEQQloTSnYMQMmOeZRVVePLgzew6Vg6lCoWEqEAb/Vrj3eeDMGfl3Pw752XUKlUoa2LDOte6o4egW6NPhfLslh3MBWfJ1wHADzesQ3WvdgdLvbih8ZQqVChqFIBbycZreoihBArR8mOASjZMa/U/DIs/v0yjt64BwBwtRejqEIJQJO0rB7fDR6OUr2e689LOZj10wVUKlVo38YBX74UBZFAgNuFFbhTVInbhZW4U1jJXb9XpgAA2EuECGvrjPC2zujs64xwX2c84u3UZD0RIYQQy0HJjgEo2TE/lmXx1+U8LN19BXeKKsEwwIwBHTFjYEcIDRxxuZxdjDe2nEV2sVyv+wsYQN3Ap14oYNDB0wHhbTXJT3hbF4S1ddI78SKEEGJelOwYgJId/lQqVPjlXBYe8XZq0cqqu6VVmPHjeZxMuw9XezHaudrBz80O7VztNf+6aa77udrDQSpE+r1yXMkpwZXsElzJKcHl7BIUlCsafG5vZynC2jpzI0FhbZ0R3MbB4KTMUmQXVUImFsLdQcJ3KIQQ0iKU7BiAkh3bIVeqmjUVxbIs8kqqcCWnmEuAruaUIv1eeYP3l4kF6OTjjDAfJzziXXPxcYSno7ReQbWluJBVhDUHbuDgtXyIBAwGhHphXLQ/nuzkCTEVdxNCrBAlOwagZIc0pryqGtdyS2uSH81IUEpuaaO7vbvZi+skP07o5O2EAHd7uNiJIRMLeEmEkrKKsGb/dRxK0XShZhig7nd9G0cpxnZvh3HRfgjx0m9/s+JKJVJyS6GoVqN3e3dKlgghvKBkxwCU7BBDqNQsbt0vx9WcElzPLUVKXimu55Uh4355g7VAWhKRAC52YrjYieFa86+LnRjOdmJ4O8vQK9gNkX6uRkscEjMLsWb/DRyp2WpDKGAwqls7TBsQAqVKjR1ns7Az8Q7u15m+iwpwxfPR/ng2si2cZGJUVatwM78cKXkluJZbipSaS06d+igvJyle6OmPF3oFwNfVziixE0KIPijZMQAlO8QY5EoVUvPLcD1PkwDdyCtDSm4pckvkUD0sC6rDXiJEdJA7Ytp7IKaDB7r4OhvcP+hcRiHWHLjB7ScmFDAYE9UOsf1DENTGQee+SpUah67l4+ezt3EoJZ+LUyYWwM/NHrfulets/VGXr4sMVdVqLlkSMMCAUG+80icAT3T0NPrS/ntlVbCXCGEvoX3RCCEarS7ZiYuLw3/+8x/k5uaia9eu+PLLL9GrVy+9HkvJDjEllmVRrlChqEKB4koliiuVKKlUoqhCyV1Pv1eOU2n3UVizBF/LSSpCz2BN8tM90BUqNVBWpURZlQpl8up6/791v4LrVi0UMBjbXZPk1G3e2Jj8Ujl2Jd7Bz2ezcPNuba2Sk0yEUB8ndPJxQicfZ4TW1Cm52ImhqFZj35VcbD2VgVNpBdxjAtzt8VLvAIzr4des1WyF5Qok3ynGxdtFuHC7GMm3i5BXUgWRgEGXdi7oFeyOXkHuiA5yg6s9FVoT0lq1qmTnp59+wsSJE/H111+jd+/eWL16NXbs2IGUlBR4eXk1+XhKdoglUKtZpOSV4uTN+ziZdh//pN1Hibza4OcRCRg818MPsf1DmrVZKsuySL5djMIKBTr5OMHHWaZXrVFqfim2nsrEfxNvo7QmbolQgKc6e6Odqx1kIgGkYiFkYiFkYgFkotr/CwUMrueVIvl2MZJvFyOzoELveEN9nNAzyF2TAAW7w9tZZvB7JoRYp1aV7PTu3Rs9e/bEunXrAABqtRr+/v6YPn06PvjggyYfT8kOsUQqNYurOSVc8nM1pwQysRCOUhEcpSI4SEVwkun+31kmwpOdvHjdEb5CUY3fL2Rj66lMXLxT3OznCfKwR6SfKyL9XNDV3xWdfZ1RUK7A6fQCnLlVgH/SC5B2t/5qOV8XGTp4OaKDpyM6eDkixNMRHbwcLHqlHCGkeVpNsqNQKGBvb49ffvkFo0aN4o5PmjQJRUVF+N///lfvMVVVVaiqquKul5SUwN/fn5IdQows+XYRDl7LR3lVNeRKNeRKFeTVNf8qVahSqiGvVkFRrUZgTXLT1c8VEe1cmtz6A9D0Vzp7qwCnbxXgdHoBruaUNFok7iwTcUlQgLs97CVC2EmEsBMLYS/RjDLZiWuPGbubNssCapYFi5p/Wc0omvY6ADBgIGA0K+YYhoGAYcAAmn+Z2udhweo8H6t9vprnqlaxqFazqFapa/5lUa1Wc8dVahZCASAWCriLRMToXhcKoE9uqI1DxbJgWRbqmutqdZ33CZZ7D0KB5n0JGNT8y3C3KVVqKFUslCo1FCo1lNW61xXVaqjU2vegeW9qde170v4LaM6hgGEgrHlu7WsKBQyX9GrPlZqtfbxarXkvam39Ws3nQfvZkNV8Xuy4UUphzXnQ/drWfo1rv17arxWg/T93Fmv+ZSAUaGIWCOqeq9rjdb8m2ueu/b+GSs1qvr+qVZAr1dy/mu87zb9KlRoSkYD73MvEdf9f815FQgiaKBnUvlft50yp0n6NNF+7up+9viEeRq+50zfZsfpKv3v37kGlUsHbW3cXbW9vb1y7dq3BxyxfvhyLFy82R3iEtGqakRlXkz2/p5MUz0S0xTMRbQEAJXIlrueW4ubdMty8W47U/DLcvFuGrIIKlMircT6zCOczi0wWDyGkcYfmPIngNvykHVaf7DTHvHnzMHv2bO66dmSHEGLdnGViRAe5IzrIXee4XKlCxv0KLvnJLqpEpVKFSoVK9986/5c30ktJM9bSOBa6Q0ssizojC5pHMwwgEDQ8asON/qh1R2u0t2lHKJiaxzGo/1wigaYOSixkIBIKIBIwEAkZCAUCiAUMBAIGarV2xIStGVHRjKRoryuq1fXeS0Pvn2FQO3pSZ9SGqRlV0S7K40Z8uH81oylsnevaESWxUABxzUiTRCiARKQ5JhIwkIgE3CiHsM77Egl0Rz80z4+a0SbN63KjT2rN10kkEEAgYCBkAKFAAGGd0RSRgAFb89mpVKpRqaiu8/nQjI5UKDQjltqvA8O939oRutqvOaNzzjSPYWqv15wjlbr23Gj/1fy/9raGHoua19B+vrSjTtKa0RvtyI1UpPm/RCSAorp2tEf73uTVKsgVmhHYSoWKG3V8GKGAqfmMab4OYqGA+9qI634Weew6b/XJTps2bSAUCpGXl6dzPC8vDz4+Pg0+RiqVQiql/Y4IaS1kYmHNajL9miYSQmyL1bc9lUgk6NGjBw4cOMAdU6vVOHDgAGJiYniMjBBCCCGWwOpHdgBg9uzZmDRpEqKjo9GrVy+sXr0a5eXlmDx5Mt+hEUIIIYRnNpHsjB8/Hnfv3sXChQuRm5uLbt264c8//6xXtEwIIYSQ1sfql54bA/XZIYQQQqyPvr+/rb5mhxBCCCHkYSjZIYQQQohNo2SHEEIIITaNkh1CCCGE2DRKdgghhBBi0yjZIYQQQohNo2SHEEIIITaNkh1CCCGE2DRKdgghhBBi0yjZIYQQQohNs4m9sVpKu2NGSUkJz5EQQgghRF/a39tN7XxFyQ6A0tJSAIC/vz/PkRBCCCHEUKWlpXBxcWn0dtoIFIBarUZ2djacnJzAMIxejykpKYG/vz+ysrJo81AzoPNtXnS+zYvOt3nR+TYvU55vlmVRWloKX19fCASNV+bQyA4AgUAAPz+/Zj3W2dmZvlnMiM63edH5Ni863+ZF59u8THW+Hzaio0UFyoQQQgixaZTsEEIIIcSmUbLTTFKpFIsWLYJUKuU7lFaBzrd50fk2Lzrf5kXn27ws4XxTgTIhhBBCbBqN7BBCCCHEplGyQwghhBCbRskOIYQQQmwaJTuEEEIIsWmU7DRDXFwcgoKCIJPJ0Lt3b5w+fZrvkGzG33//jeHDh8PX1xcMw+DXX3/VuZ1lWSxcuBBt27aFnZ0dBg0ahBs3bvATrJVbvnw5evbsCScnJ3h5eWHUqFFISUnRuY9cLkdsbCw8PDzg6OiIsWPHIi8vj6eIrdv69esRGRnJNVaLiYnBH3/8wd1O59q0VqxYAYZh8O6773LH6Jwbz0cffQSGYXQuoaGh3O18n2tKdgz0008/Yfbs2Vi0aBESExPRtWtXDBkyBPn5+XyHZhPKy8vRtWtXxMXFNXj7Z599hrVr1+Lrr7/GP//8AwcHBwwZMgRyudzMkVq/I0eOIDY2FqdOnUJCQgKUSiUGDx6M8vJy7j6zZs3C77//jh07duDIkSPIzs7GmDFjeIzaevn5+WHFihU4d+4czp49iwEDBmDkyJG4fPkyADrXpnTmzBl88803iIyM1DlO59y4OnfujJycHO5y7Ngx7jbezzVLDNKrVy82NjaWu65SqVhfX192+fLlPEZlmwCwu3bt4q6r1WrWx8eH/c9//sMdKyoqYqVSKfvjjz/yEKFtyc/PZwGwR44cYVlWc27FYjG7Y8cO7j5Xr15lAbAnT57kK0yb4ubmxn733Xd0rk2otLSU7dixI5uQkMD269ePnTlzJsuy9Pk2tkWLFrFdu3Zt8DZLONc0smMAhUKBc+fOYdCgQdwxgUCAQYMG4eTJkzxG1jqkp6cjNzdX5/y7uLigd+/edP6NoLi4GADg7u4OADh37hyUSqXO+Q4NDUVAQACd7xZSqVTYvn07ysvLERMTQ+fahGJjYzFs2DCdcwvQ59sUbty4AV9fX7Rv3x4vv/wyMjMzAVjGuaaNQA1w7949qFQqeHt76xz39vbGtWvXeIqq9cjNzQWABs+/9jbSPGq1Gu+++y4effRRdOnSBYDmfEskEri6uurcl8538128eBExMTGQy+VwdHTErl27EB4ejqSkJDrXJrB9+3YkJibizJkz9W6jz7dx9e7dG/Hx8ejUqRNycnKwePFiPP7447h06ZJFnGtKdgghiI2NxaVLl3Tm2InxderUCUlJSSguLsYvv/yCSZMm4ciRI3yHZZOysrIwc+ZMJCQkQCaT8R2OzXvmmWe4/0dGRqJ3794IDAzEzz//DDs7Ox4j06BpLAO0adMGQqGwXgV5Xl4efHx8eIqq9dCeYzr/xjVt2jTs3r0bhw4dgp+fH3fcx8cHCoUCRUVFOven8918EokEISEh6NGjB5YvX46uXbtizZo1dK5N4Ny5c8jPz0f37t0hEokgEolw5MgRrF27FiKRCN7e3nTOTcjV1RWPPPIIUlNTLeLzTcmOASQSCXr06IEDBw5wx9RqNQ4cOICYmBgeI2sdgoOD4ePjo3P+S0pK8M8//9D5bwaWZTFt2jTs2rULBw8eRHBwsM7tPXr0gFgs1jnfKSkpyMzMpPNtJGq1GlVVVXSuTWDgwIG4ePEikpKSuEt0dDRefvll7v90zk2nrKwMN2/eRNu2bS3j822WMmgbsn37dlYqlbLx8fHslStX2DfffJN1dXVlc3Nz+Q7NJpSWlrLnz59nz58/zwJgV61axZ4/f57NyMhgWZZlV6xYwbq6urL/+9//2OTkZHbkyJFscHAwW1lZyXPk1mfq1Kmsi4sLe/jwYTYnJ4e7VFRUcPd5++232YCAAPbgwYPs2bNn2ZiYGDYmJobHqK3XBx98wB45coRNT09nk5OT2Q8++IBlGIbdt28fy7J0rs2h7moslqVzbkzvvfcee/jwYTY9PZ09fvw4O2jQILZNmzZsfn4+y7L8n2tKdprhyy+/ZAMCAliJRML26tWLPXXqFN8h2YxDhw6xAOpdJk2axLKsZvn5ggULWG9vb1YqlbIDBw5kU1JS+A3aSjV0ngGwmzdv5u5TWVnJvvPOO6ybmxtrb2/Pjh49ms3JyeEvaCv22muvsYGBgaxEImE9PT3ZgQMHcokOy9K5NocHkx0658Yzfvx4tm3btqxEImHbtWvHjh8/nk1NTeVu5/tcMyzLsuYZQyKEEEIIMT+q2SGEEEKITaNkhxBCCCE2jZIdQgghhNg0SnYIIYQQYtMo2SGEEEKITaNkhxBCCCE2jZIdQgghhNg0SnYIIYQQYtMo2SGEkGaKj4+Hq6sr32EQQppAyQ4hpFHDhw/H008/3eBtR48eBcMwSE5O5o5t2bIFPXv2hL29PZycnNCvXz/s3r1b53GHDx8GwzANXnJzcxt8rVu3boFhGCQlJek8x4O7KJtSUFAQVq9erXNs/PjxuH79utliIIQ0DyU7hJBGTZkyBQkJCbh9+3a92zZv3ozo6GhERkYCAObMmYO33noL48ePR3JyMk6fPo3HHnsMI0eOxLp16+o9PiUlBTk5OToXLy8vk7+nuliWRXV1dbMfb2dnZ/aYCSHNYLZduAghVkepVLLe3t7s0qVLdY6Xlpayjo6O7Pr161mWZdmTJ0+yANi1a9fWe47Zs2ezYrGYzczMZFm2drPXwsJCveNIT09nAbDnz5/n/o8GNopVqVTsJ598wgYFBbEymYyNjIxkd+zYwT2P9rX37t3Ldu/enRWLxeyhQ4fY1NRUdsSIEayXlxfr4ODARkdHswkJCdzj+vXrV+81WZZlN2/ezLq4uOjE+tVXX7Ht27dnxWIx+8gjj7Dff/+9zu0A2G+//ZYdNWoUa2dnx4aEhLD/+9//uNsLCgrYl156iW3Tpg0rk8nYkJAQdtOmTXqfK0JIfZTsEEIeau7cuWyHDh1YtVrNHdu0aRNrZ2fHFhUVsSzLsjNmzGAdHR3Zqqqqeo+/c+cOC4D94osvWJZtebJTXV3N/ve//2UBsCkpKWxOTg4Xx8cff8yGhoayf/75J3vz5k128+bNrFQqZQ8fPqzz2pGRkey+ffvY1NRU9v79+2xSUhL79ddfsxcvXmSvX7/Ozp8/n5XJZGxGRgbLsix7//591s/Pj12yZAmbk5PD7db8YLKzc+dOViwWs3FxcWxKSgr7+eefs0KhkD148CB3HwCsn58fu23bNvbGjRvcubt//z7LsiwbGxvLduvWjT1z5gybnp7OJiQksL/99pve54oQUh8lO4SQh7p69SoLgD106BB37PHHH2dfeeUV7vrTTz/Ndu3atdHncHZ2ZqdOncqybG3C4eDgoHMJDw9v9PF1k526z1E3YZLL5ay9vT174sQJncdOmTKFffHFF3Ue9+uvvzb5vjt37sx++eWX3PXAwEAuYdN6MNnp27cv+8Ybb+jcZ9y4cezQoUO56wDY+fPnc9fLyspYAOwff/zBsizLDh8+nJ08eXKT8RFC9Ccy13QZIcQ6hYaGom/fvti0aROefPJJpKam4ujRo1iyZInO/ViWfejzSCQSnetHjx6Fk5MTd10sFrcoztTUVFRUVOCpp57SOa5QKBAVFaVzLDo6Wud6WVkZPvroI+zZswc5OTmorq5GZWUlMjMzDYrh6tWrePPNN3WOPfroo1izZo3OMW2dEwA4ODjA2dkZ+fn5AICpU6di7NixSExMxODBgzFq1Cj07dvXoDgIIboo2SGENGnKlCmYPn064uLisHnzZnTo0AH9+vXjbu/YsSOOHTsGhUJRL6nJzs5GSUkJHnnkEZ3jwcHBRl22XVZWBgDYs2cP2rVrp3ObVCrVue7g4KBzfc6cOUhISMDKlSsREhICOzs7PPfcc1AoFEaLr64HEzuGYaBWqwEAzzzzDDIyMrB3714kJCRg4MCBiI2NxcqVK00SCyGtAa3GIoQ06fnnn4dAIMC2bdvw/fff47XXXgPDMNztL774IsrKyvDNN9/Ue+zKlSshk8kwfvx4o8WjTahUKhV3LDw8HFKpFJmZmQgJCdG5+Pv7P/T5jh8/jldffRWjR49GREQEfHx8cOvWrXqvWff1GhIWFobjx4/Xe+7w8HAD3h3g6emJSZMmYevWrVi9ejU2bNhg0OMJIbpoZIcQ0iRHR0eMHz8e8+bNQ0lJCV599VWd22NiYjBz5kzMnTsXCoUCo0aNglKpxNatW7F27VrEx8fDw8ND5zH5+fmQy+U6xzw8PPSazgoMDATDMNi9ezeGDh0KOzs7ODk5Yc6cOZg1axbUajUee+wxFBcX4/jx43B2dsakSZMafb6OHTti586dGD58OBiGwYIFC7iRFq2goCD8/fffeOGFFyCVStGmTZt6zzN37lw8//zziIqKwqBBg/D7779j586d2L9/f5PvSWvhwoXo0aMHOnfujKqqKuzevRthYWF6P54Q0gC+i4YIIdbhxIkTLACdYtsHbdy4ke3Rowcrk8lYAKxEImGPHDmicx9tkXBDl5MnTzb4vA8WKLMsyy5ZsoT18fFhGYbhlp6r1Wp29erVbKdOnVixWMx6enqyQ4YM4WJobCVYeno6279/f9bOzo719/dn161bx/br14+dOXMmd5+TJ0+ykZGRrFQqbfHS8127dukcc3FxYTdv3syyLMsuXbqUDQsLY+3s7Fh3d3d25MiRbFpaWiNnnBCiD4Zlm6gqJISQZrh16xb69euHmJgY/PDDDxAKhXyHRAhppahmhxBiEkFBQTh8+DBCQ0O5bR4IIYQPNLJDCCGEEJtGIzuEEEIIsWmU7BBCCCHEplGyQwghhBCbRskOIYQQQmwaJTuEEEIIsWmU7BBCCCHEplGyQwghhBCbRskOIYQQQmwaJTuEEEIIsWn/D75RDWMgHVKTAAAAAElFTkSuQmCC\n", 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\n", + "image/png": 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AysrKdh8HAKIoYunSpVi6dCnKy8vx3Xff4emnn8Ynn3yCefPm4ZtvvjnhOYD60A9WaWkpampqMHLkyKDP0VnNy7tv3z4AP4/laM5ut3d7mYioZzH0dWzSpEmt1jIbM5lMId+HO7DN5xVXXIFFixa1eszo0aPbPUd7u0h1RlJSEs4//3ycf/75mDFjBr766iscPny4oe+/Pa2N1G+rhn6iAYah1NZzNS9v4O+watUqpKentzhelvn2QNTb8L+aOi07Oxuff/45amtrm9T2d+/e3XB/QGshmJKSApvNBkVRcNZZZ3V/gTtowoQJ+Oqrr1BYWIjs7OygmtgTEhIAAFVVVU1ub976kZKSArvdju3bt7d7vvbKkJCQ0OJ5vF4vCgsLO1TWwKDK1NTUiPo7EFH3YZ8+ddp5550HRVHw+OOPN7n9kUcegSAIOPfccxtui4mJaRFMkiThoosuwltvvdVq6AU7V74jioqKsHPnzha3e71efPHFFxBFETk5OQDQMI+9efnbY7fbkZycjK+//rrJ7U8++WST70VRxNy5c/HBBx9g/fr1Lc6jHZ/62F4ZBg0a1OJ5li9f3uFWhZkzZ8Jut+P++++Hz+drcX93/h2IKDxY06dOmzNnDk4//XT8/ve/x6FDhzBmzBh89tlneO+993DLLbc01CABYPz48fj888/x8MMPIzMzEwMGDMDkyZPxwAMPYM2aNZg8eTKWLFmCESNGoKKiAhs3bsTnn3+OioqKbin7sWPHMGnSJJxxxhk488wzkZ6ejpKSErzyyivYsmULbrnlFiQnJwMAxo4dC0mS8OCDD6K6uhomkwlnnHFGw1z+tlx77bV44IEHcO2112LChAn4+uuvsXfv3hbH3X///fjss88wffp0XHfddRg+fDgKCwvxxhtv4Ntvv0V8fHy7Zbj22mtxww034KKLLsLZZ5+NLVu2YPXq1Q3lPxG73Y6nnnoKV155JU466STMmzcPKSkpOHLkCD766CNMmTKlxYUdEUW58E4eoHAITOFqbapYY4sWLdJiYmJava+2tla79dZbtczMTM1gMGiDBw/W/va3vzVMNQvYvXu3Nm3aNM1isWgAmkwlKy4u1pYuXaplZWVpBoNBS09P184880xt+fLlDce0NWWvtXL96U9/0k70kq6pqdH+8Y9/aDNnztT69u2rGQwGzWazaaeccor27LPPtij/s88+qw0cOFCTJKnJ1Lns7Gxt1qxZrT6H0+nUrrnmGi0uLk6z2WzapZdeqpWUlLQ6xe7w4cPawoULtZSUFM1kMmkDBw7Uli5dqnk8nhOWQVEU7be//a2WnJysWa1WbebMmdr+/fvbnLLX1t97zZo12syZM7W4uDjNbDZrgwYN0hYvXqytX7++3d8lEUUfQdMaLaFGREREvRb79ImIiHSCoU9ERKQTDH0iIiKdYOgTERHpBEOfiIhIJxj6REREOsHQJyIi0gmGPhERkU4w9ImIiHSCoU9ERKQTDH0iIiKdYOgTERHpBEOfiIhIJxj6REREOsHQJyIi0gmGPhERkU4w9ImIiHSCoU9ERKQTDH0iIiKdYOgTERHpBEOfiIhIJxj6REREOsHQJyIi0gmGPhERkU4w9ImIiHSCoU9ERKQTDH0iIiKdYOgTERHpBEOfiIhIJxj6REREOsHQJyIi0gmGPhERkU4w9ImIiHSCoU9ERKQTDH0iIiKdYOgTERHpBEOfiIhIJxj6REREOsHQJyIi0gmGPhERkU4w9ImIiHSCoU9ERKQTDH0iIiKdYOgTERHpBEOfiIhIJxj6REREOsHQJyIi0gmGPhERkU4w9ImIiHSCoU9ERKQTDH0iIiKdYOgTERHpBEOfiIhIJxj6REREOsHQJyIi0gmGPhERkU4w9ImIiHSCoU9ERKQTDH0iIiKdYOgTERHpBEOfiIhIJ+RwF4CIQkvTtE5/bvy1IAiQZRmiKEIQBAiC0KPlJ6Luw9An6kGBcG38dfPQPdHn5l+39X1rz9n8e0EQGoI+8FkQBBiNxoavJUmCKIoNFwFEFL0Erfk7ApGOBVNLbv75RGHckVBuLYybh3Vjnf2+rdsAQBRFSJLUpOyBY5tfAPAigCi6MPQpqoQ7lFv7d2keyIHbuvJ9W7f1BFEUIctNGwFb6wIQBKHhAoGtAETRgaFPIdNW03VbnzvSdN3461A0XQfu72oo9+aAay30G2v+d2ErAFH0YOjrSPNQ7sqAL1VVW72vK03XjT83x1DuOScK/ebYCkAUPRj6ESTcTdeB79vqRw6I5qZrOrHOhn5jbbUCNL8A4N+fKDw4er8TuhrGjb/uan9yqJqu23oD5psyBSPwugl8btwypCgKWwGIwkyXNf0dO3aguroa48ePZ38yUTNdqem3h60AROGny5r+G2+8gd27d+PJJ5/sUn9y889tHU9EnW8FCHzP/yei0NFl6EuSBEVRYDAYwl0UIt1qfBHQuBXA7/dDURQAbAUgCjVdhr4oig2jz4ko/NgKQNQzdBn6gZo+EUWmzrQCBC4GeAFAdGIMfSKKaO21AgRa7ALBz8WBiNqn29Bn8z5RdGrtIiDQCtB4RkDziwAi0mnoy7LMmj5RL9G4Vs9WAKL26TL0RVFk6BP1QmwFIGqfLkOfffpE+tBeK4Cmaa1eAPAigHozhj4R6UJHWgEEQWixWyBRb6Lb0OdAPiJ9a60VIHARwFYA6q10G/qs6UeWOo8f5Q4ffIoKWRSQYDUgzsIVE6lntNUKoChKQ0sAWwGoN9Bl6HP0fvi5fQq+2l+BjUeqsaOwFvlVHiiNNmKRBCDVZkJuRizG9LXjjCHJsJl1+XKlMGirFcDn8zXc3/wCgBcBFA10+S4qyzL8fn+4i6FLZXVevL25CB9uL0ZZnQ+ABlEQYJAEGCUBEARAAxRNQ361G0crXfh0Zyme+uYIzhmejItPykDfeEu4fwzSkY62AnC7YIoGugx9Nu/3PE3T8PmeMjy29hDK67wQRQGxZgmy2PabY6B1X1E1ODx+vL6xEB/vLMV1U/rhwjHpkNp5LFF3aW8sQOB9ha0AFKl0GfrccKdnOb0KHvhsP77cWw5NA+wWGWIn3gQlUYDNLEPTNNS6FTz8ZR6+3leOu2cNQWKMsRtLTtS+zrQCyLIMURTDWVwi6PIVyJp+z3F4/Pjtu7vwn91lMEoC4joZ+I0JggC7RYbVIOKnI9W45c2dKKvzhrjERMFrbfW/QCsAKxoUCRj61G18ior//XAv1h+pRqxJgtkgheS8RlmEzSxjX6kD//POLtS4OT4jlNgUHRqNa/lEkUKXzfsM/Z7x0k/5+DGvEjFGCQapc298e1//K0o2ftbi9vG3vwBLch/IogCbScLu4jo8+fUh3PmLnFAVm4io19Jl6MuyzKa2branuA4v/pgPWRJglIOr6SQMmYjBl9zR5DZDTFzD17IkwiRr+Hh7KablJOLUgYldKjMRUW+ny3anQE0/MPKWQkvTNDz8ZR7cPgUxxuCb9AXZAKMtscmHIDY9n9kgwq+qePjLPHj9vJAjImqPrkOfuseOwjrsLKyFxSh1e/+wIAiINUkoqPbgmwMV3fpcRMHitD2KFLps3mfod6/3txZDUbX6xXa6oGL3D1j3x9kN3ycMnYThC/7Y4jhZEgFNwbtbinDm0OQuPScRUW+m29Bnn373cPsUfLm3DLLU9ZpN/MCxGDT31w3fS0Zzm8eaDCK2FtQiv8qNPvFtH0dEpGe6DX3W9LvHgTInPH4VZkPXe45EoxmW5D4dOtYkiahx+7G3xMHQJyJqg2779Ln2fvfYX+qAX9XaXV63O4hifcvC/lJHjz4vEVE00WXoc5e97nO4wgUxTIOWVE1DXpmzx5+XqD2BpXmJIoFum/fZp9893D416De4WrcfNW4/bKbgXpYCAIeXF3NERG3Rbeizpt89gq3PVDp9qPPU/02q3X6kn/8b2M26fHkSEXUbXTbvM/S7j0Xu3F7imgaU1XkbAj8wALDa5UdtJ9fU14AuLQZERNTbMfQppLISLR3uw1RVDSW1Hrh89V0tSTEGpMQaG2r4VS4/HJ6O/51EQUB2kiW4ghMR6YBuQ19Vg+97prYNTomBJArwq+3/bv2KhuJaL7yKBkEAUmONsB6vpcdZZNhM9V9XOH1wdqCfXtU0qJqGnJSYrv8QRES9lG5DHwAH83WDQSlWmGQRXn/boe/1qyiu9cCvapBEIM1mgqnZvP54qwGxx4O/3OGD6wTB7/WrMEoihqQy9ImI2qLL0Jfl+uZjNvGHnsUgYVpOEnxK6y0pLq+CklovVA0wSALSbCYY2liuN8FqaKj9lzl8cPvavkhz+1SMyIhFXy7MQxGIa+9TpNBl6Adq+lygp3vMGZUKSRTgVZqGfq3bjzKHDxoAsywizWaCdIJFfJKsBliPtwKU1nlbDf76rgQBc8ek842ViKgdug591vS7x5i+dgxOjYHL+/P2xVVOH6pc9RdZMUYJKbFGdCifBSAxxgjL8eAvq/PC02wL3Tq3H6k2I6bnJIb05yAi6m0Y+hRyoiDgtjMGwiSLcHgUlNV5UXt8FH6cWUZijKF+JZ0OEgQgKcYIsyxCA1Ba64X3ePC7fAokUcCvTx8As4HT9YiI2qPL0A/06XMgX/fJzbThwjHpqHH7m0zJs1uCXG1PAJJjjTAFgv94U7/Hp+KsYcmYMZi1fCKiE9Fl6LNPv/sdrXRh9a5SBLr1ExsNyguWIAApsUYYJQHq8UV9MuPMuHnGAPblExF1gC5Dn6P3u9e2/BpcsXIzjlS6kWYzYkwfG7yK2qIvPhiCUD+dTxTqV+Arc3hR5+HFGxFRR+gy9Nmn333W7C3H1f/eigqnD8PTYvHyVePw1LxROG1QItw+FdUuH9QgF0XSNA21bj9cXgXj+8UhO8GMcocPS17aiqIad4h/EiKi3keXoR+YM8vQD61X1hfgljd3wO1XMWVgAlZcORqpNhNsZhkPzB2GO38xCHazATXH19VXTrBqX4CqaXB4/Khy+WGURdw0rT+emT8KK64cg34JZuRXe3DtS9tQVuft5p+QiCi6CZoO16JVVRUmkwnr16/HwIEDw12cqKdqGh79Mg8rfjgGALhobDr+99zBkFuZg19U48ZrGwrx6c5SVLvq5+zLogCDJEASBQiob7ZXVA0+RYNf1SAAsBolnDE0GfPGZ2JgsrXhfIXVbixetQUF1R7kpFjx/BVjkGA19MjP3VtJktTQGkZdF9iLwmQyQRR1Wc+iCKLb0LdarVi3bh0GDx4c7uJENY9fxe/f34PVu0oBADfP6I9rT8064cC6Oo8fX+wpw/rD1dhZVIdyhxeKqqF+mZ36aX9xFhkjMmwY19eOs4clIzHG2Oq5jla6sPjFLSip82J4eiz+tWA0t+XtAoZ+aDH0KZLoNvRtNhvWrl2LYcOGhbs4Uava5cPNb+zAxqM1kEUB984egjmj0jp9Hk3TUO7wodzhhU/RYJAExFkMSLMZOzwq/2CZE1et2oIKpw+j+9iwfP4oxJgY/MFg6IcWQ58iiW5fgdxet2uOVblwxQubsfFoDWJNEp6ePzKowAfqx1gkxxoxNC0WIzNtGJoWi3S7qVPT8AYmW7H88lGwm2Vsza/Fr97YAbePf1+KHJxWSpFAl6EvCAJEUWToB2lHQS0WrNyMQ+UupNtNeHHhWEzunxDuYmFoWiyemT8KMUYJPx2uxi1v7mxYuY+IiHQa+gBr+sFau7ccV/17CyocPgxLi8FLi8dicARtZzsy04Yn542ExSDiu4OVuOOdXfApDP7OYI2UqPdi6FOHvbahAL9+cwdcvvopeSuvHINUmyncxWrhpKw4PHZJLoySgC/3luP37+/p8PRAIqLejKFPJ6RqGh7+8iDu+3Q/VA24cEwa/nlpbkQPlDt5QAIeuTgXsijgk52l+NNHe4NeFIiIqLfQdehz7f0T8/pV3Pnubqz4vn4O/tJp2bhn1hAYpMh/6UzLScRfLxwGUQDe21qM+1fvhw4nqxARNYj8d+5uwpr+iVW7fLjulW34ZGcpZFHAX+YMxQ2nZUdVn+/Zw1Jw35yhEAC8tqEQD3+Zx+AnIt2K3PbZbiZJErfWbUd+lRs3vroNeeUuxJokPHLRCJw8IPwj9IMxZ1QaPH4V93y8Dyt/OAaLoX4pX6KewItMiiS6DH1BEFjTb8eOwlosfW07yh0+pNqMeGreKAyJoBH6wbh4XAY8fhUPfHYAT31zBCZZwjWnZoW7WEREPUqXoQ+web8tX+8rx+3v7ILLp2JIagyeuGwk0u2RN0I/GAsm9oHLp+Afaw7h0TV5MBtELJjYJ9zFIiLqMQx9avDGxkLc9+k+qBpwyoB4PHzRCMRG8Aj9YFx7aj+4fSqe+fYIHvjsACwGEb8cmxHuYhER9Yje9Y7eCVyR72eqpuGfaw/hX+uOAgDmjk7DH88bHBUj9IOxdFo23D4VL/x4DHd/tA8mWcKskanhLhb1YtE0+JV6N92GPgfy1fP6Vfzhwz34eEf9Lnk3nZaNG07r16vfpARBwG1nDoDbp+C1jYX4/fu7YZJFnDUsOdxFo16sN/9PUfTonVW5DmDzfv2UvOtf2YaPd9RPyfvz7CG4cVp0TckLliAI+N05ObhgdBoUDbjjnV34en9FuItFRNStGPo6VVDtxqIXt2D9kWrEGCU8cdlIzB2THu5i9ShREHDPrCE4Z0QK/KqGW9/cgR8PVYa7WFHJ61dR4fCitNaDsjoPql0+qFz6mCji6Lp5X6+hv7OwFktf24EyhxepNiOevGwkhqbFhrtYYSGJAu4/fyg8fhVr9pbjV6/vwDPzR2FcVly4ixbRVFVDfrUb+VUuFFa7UVbrgduv1ge9IEASBcSaJGTYzUizm9E/yYp4qyHcxSbSPYa+znyzvwK3vb0TLp+KwakxeLIXTckLlkES8dCFw/GrN3Zg3cFK3PTadvzr8tHIzbSFu2gRx6eo2FdShx0FtThW5YLHr8JskGA1Soi3GiAe7xryKRpcPgXbCmqw6Vg17GYZQ1JjMSzdhr4JljD/FET6pdvQl2VZd6H/5qZC3PfJPigaMLl/PB65aARsZt2+BJowyiIevXgEbnp1O9YfqcZ1r2zD81eM1m0LSGuKazz47kA59pc6YJAEpMSaYDFKrR5rNqD+tWUzQdU0VLt82HCkCjsLazG+XzzGZ8fDbGj9sUTUfXTbpy+Kom423NE0DY+tzcM9H9cH/vmj0/DUvJEM/GYsBgmPX5qL0X1sqHH7cd0r23CwzBnuYoWdpmnYeqwab28qwL6SOvSNN6NforXNwG9OFAQkWI3ISY2F1SThm/1leHdLIYpr3N1cciJqTrehr5fmfZ+i4nfv78Gz39XPwb9haj/cNzs6dskLhxiTjKfmjcLwtFhUOHxY8tJWHK10hbtYYaNpGn46VIn/7CqBBmBQSgxMXaihJ1iN6J8cgyPlTny0rRgFVfoIfj3MiKHooNt3fj3M069x+3HDK9vw4fYSSAJw76whWDq9P9+ATsBulvHM5aMwKNmKkjovlry0FUU6rZVuOVaDb/aXw24xIM1uCslrxyCJGJASgwqnF6t3FqO01hOCkhJRR+g69HtzTb+w2o1FL27Gfw9Xw3p8St6FY/U1Ja8rEqwGPHv5KGQnWpBf7cG1L21DWZ033MXqUQVVbnx3oBxWk4zEGGNQ59i3bSOumJKDv912dZPbRUFAdpIVJbUefLO/HF5/774AJ4oUDP1eaHdRHRas3Iz9pU6kxBrxwpVjMGVQYriLFXVSbCb8a8EoZMaZcLjChSUvb0Wl0xfuYvUIr1/FugPlcHr9SLUFP7tj7QevY+bFC7F780+oLC1ucp8oCOiXaMXekjpsPVbd1SITUQcw9HuZ7w5UYNGqLSit8yInxYqXFo/FsHSOQA9Wut2Mfy0YjdRYI/aXOnH9y9tQ4+79A0B3FNZgf6kDfROsQZ/D7XTghy8+wpm/vAJjTz0dX3/0ZotjjLKIBKsBPx2uQrnOWlKIwoGhH2Yun4IKhxdldV5UOX1QurCK2dubC7H0te1wehVM7h+PFxaORUacOYSl1aesBAueXTAaiVYDdhXX4cZXt8Hh6b3B71VUbMuvQYxJhlEO/i3ihy8+Qmb2QGRmD8SUmRfgqw/fhKa1fH0nxRhR5fJhf2ldV4pNRB2g2zlb4RrI5/Qq2HysGnllThwoc6Kg2gO/qkHTAFEArEYJA5Is6J9kxfD0WAxJjTnh4ClN0/DE14fxzLdHAABzRqXinlkcoR9KA5OtWH75KFz9763Yml+LX72xA09cNhKWXjjX/GiFC8U1ni4vorP2gzcwZeZcAMCYk6djueO32LXpR4w46eQmxwmCgDiLjB0FtRjbN65LswMiFQfPUqTQdej3ZE2/qKZ+wNK3BypRWueBqgJGgwirQYLFUB/OmgY4vH7893A1vs+rgtkgIiclBtMHJ2Fy/3iYWql1+RQVf/poLz7YVgIAuG5KPyybro9Nc3ra0LRYLJ8/Cte+vBU/Ha7GrW/uxGOX5HapNhyJDpY7AGhd+rkKDh/EwZ1bcOsDTwEAJFnGyWfOwtoPXm8R+gCQFGvCkXInjlW5MSglJujnJaL2MfS7mV/VsHZvOd7ZUoTSOi9sJgl94s1t1sLtx/8kmqbB6VWwu6gOu4pq8dU+GxZM7IOByT/3sda6/bj1rZ348VAVJAH4w7mDcdG4jG7/mfQsN9OGJy8bietf2YbvDlbi9nd24e+/HN5rWlVUTUNhtQcxpq69Naz94HUoih/Lzj+l4TZN02AwGOG87W5YY+1NjpdFAaqm6WagJFG4MPS7UbnDi5U/HMOGI9UwyQIGJlsa1iY/EUEQEGOSEWOS4fGp2FFQiwc+248LRqfj3NwUlNR6cOOr27G/1AmrUcLffzkcUzlCv0eMy4rDY5fkYulr27Fmbzl+9/4ePHDBMEhi9Leu1Lr9qHP7EWsOfnMcxe/Ht5+8jQU3/w6jJp3W5L5HfnsD1n32Ac765YIWjzNIIlfpI+pmug19WZa7tU+/tNaDf351CLuLHciMM8HawSVLW2MyiBiQbEFpnRcv/5SPvSV1+GBrMUodPiTHGPHkvJEYzhH6PerkAQl45OJc/PqNHfh0ZylMsoh7Zw/p8EVdpKpx++HyKUixBzcAtLDKjWObv4KjtgYz5lzaokY/8fSZ+OrD11sNfYtR4kI9RN2sd7RJBkGSJPh83dOUWOX04fGvD2N3sQPZieYuBX6AIAhIPb55ycofjqHU4cPAJAteumosAz9MpuUk4q8XDoMkAO9tLcb9q/e3Ojo9miiqBkXVIAVx7VJe58E/1x7EcytWIHfCqS0CHwAmzTgXB3dtw5H9u1rcJ4kC/Mefn4i6h25r+t01el/TNLyyoQC7iuqQndh2331bPn/mHuz+5iMAgChJiElMRc6kMzH5outRUKdiR2EdNACxJgm3nzUQmZySF1ZnD0vBfeer+N17e/DahkKYZQm3nTlAlwMp95U4AAAnXft/uO60Aa0eMyh3DF76/mDrJ9AACID+fnNEPUe3oS+KYrf06X+fV4V1ByuQZjMGPbir3+hTcOZ1f4CqKCjN24XPn7kHlU4/tElXAAD6xJmQGGPEB9tKMLqPHXGW4Ptfqetmj0yDx6fi7o/34YUfj8FiELF0ev9wFysosiRAEgUoGiB3Mn0DoT8kNbiWJ0WrnzEg9oKxEUSRSrfN+7Ishzz0a91+vLGpEAC6tG2tZDAgJj4ZtqQ09D9pOmwDx6Fg508AgJwUK8ZlxaFvfP3SsB9uLwlJ2alrLhqXgTt/MQgA8PS3R/DcuqNhLlFw7GYDLAYJLm/n/jcUVcWBsvrFdQYHGfpOr4K0Liz5G6mivcuHehfdhn53jN5ff6QaRdXukK2C51M0rP3vZlQd2gGIMkZn2jA8PRaCAMiSCLtFxncHKlDt4jSnSLBgYh/ccnp9s/aja/Lw0k/5YS5R59lMEmxmGQ5v51YcPFLhgtevwWqUgu5y8isqUoMcQEhEHcPm/RBRVA1f7SuHJAqQu9g8eWjTd3j6mulQ/H5oig8QREy6/DZkJzVdIS3RasDhChd+OlyNs4Yld+k5KTSuOTULbp+Cp789ggc+OwCzLEbV2gmCIKBPvAUbj1Z16nH7So7X8lNiIATx+vcpKkRBQIK1d3ZV6XGMB0Um3YZ+qAfy5ZU7kVfuQnJscFuQNpY29CRYZlwPt9sJx4b3kWI3Y/z0X7Q4LnCB8d3BCoZ+BLlpWjbcfhUrfziGez7eB5NBxOyRaeEuVocNSLZi87FqePxqq6tAtibQnz84Lbim/bI6L1JtRvSN79rSv0TUPjbvh8jRSjc8fqVhSd1guX0qavwSVHs6ErMG46Kb70HloV3Yufa9Vo+3mWUUVHtQ14s3gIk2giDgN2cMwGXjM6AB+N/39+Dz3WXhLlaHZSVYkGE3o6yuY3PmHR4/8qvqF9XJCWIJXU3TUOv2IzczrtctaUwUaXT7HxbqxXnyq1wAutaMd6TChdI6LzQASVYDpgxMQIzZgAnnL8YPbzwNv7flamVWY/2gq8CbLkUGQRDwu5k5uGB0GhQNuOOdXfh6f0W4i9UhBknEqL52uLwKPP4T/4/sL62v5afbTbAHMZOkpNaDRKsBg1KC38aXiDpG1837fn/oaseHKlxB11I0Ddhb4sDe402kZlnEyQPiG6Yu5Uw+E9+98k9s/c+bOGnWFU0ea5QEeBUVxTUeDA2yaZW6hygIuGfWEHj8Kj7dWYpb36zfme/kAQntPk5RNeSVO7GzsA57SupQ4/JDPT6drV+CBSMyYjE83QZ7F2aInMjwdBv2lziwr6QOg1La3+lxX3F9f35OSudff26fglq3HzNHpCHB2vWuMSJqn25DXxTFkNb0nV4l6AF8+0t/DnybSYZFk5vMVRYlGaPPvgSbPlqFUWdeBIP5535PQRAgAPAoPb9NMJ2YJAq4//yh8PhVrNlbjpvf2IFn5o/CuKy4FscernDh9Y0FeGtTERzHp8zJogANADQNglC/KU1gwboJ/eJw+cRMzBicFPINfwySiCmDklBc40FxjQfpbYzI1zQN+0rrQ39IWuea9hVVw5EKF0Zk2DAy09blMhPRiek29Ht6a932uHz1gR1nljHt1j+3esz48xdh/PmL2jwHpwJHLoMk4qELh+PmN3bgu4OVuPHV7fjXgtENQVdc48F9n+7D2n0VkARAafS39DdekrbZH3nj0WqsP1KNpBgD7vzFIMwcnhLSUeJpdhNOG5yE/+wqQWmtBymtzKEvrvGg1q1AlgT0T+x487yiajhU5kDfeDNOy0mC3Et2KSSKdLr9T5NlOaTN+yZZDHrN8EHJVggAqt1+lNZ6O/VYTdOgATDyTTOiGWURj1w8AhP6xcHhVXD9K9uwu6gW720twvlP/4Rvjvf3K514CQVebhUOH+54ZzdufWsnyh2de/2cyMhMO04fkgK3T0FBlQtqswuPwFS9gUlWyB3s3vL6VRwscyA9zoyZuWlIjOndzfqCIHDKHkUM3SZFqKfs9UuwdGjQU2tiTBL6H5+Dv6uorlO1dp+iQRYFpNh69xtnb2AxSHj80lyM7mNDjduPK17YjP/9YC9cPrVTYd9c4KFr95bj4mc34GCZMyTlDRibFYeZI9JgNkg4UOJoslpfoFuqo6vwldV5cLjCiSEpsZg1Mh2pvXAFPqJIptvQD/UyvH0T6vs8g11yc3BqDGRRQLXbj4Lqjo/Ed/oUWI0S+sZzJbNoEGOS8eRlIxFnluHx179WQtUzo2hApdOHK1/YjLzy0Ab/8AwbLhqXiVF97CiqcSOvzIEKhxeHjj9Pe6GvqBrK6jzYV1wHRdVw1tAUzB6djqQQrGlBRJ2j29AP9Yp8feMtMEpi0LV9kyw2TFnaXVQHtYNdBQ6PgpRYY7eO5KbQem1DIard3bOugqLVz5u/9qWtqA3xcyTGGHFObhouGJOBIWmx2F1UC0XVEGOUoEFDjduHOo8fdR4/qpw+FFS5caC0DnllDggApuQk4eKT+mBC/wTOxycKE93+54V6IF9OihWZcWaUOYJfB39gkhUmWYTTp+JQheuEx6uaBrdPxSkDE9hnGCX2FNfhia8Pdfpxmqah+NXfo/i1P7S4r3bjRzjy6GXw19QvAKRo9SvcPfRFG1vYduC52iKJAganxmLOqHRYDBIAYFQfO6zHN+mpdftR6/bDp6hIjjXi5AGJmDM6HZdPysJpOUlszicKM91WD0Md+gZJxPTBiVj5wzGoqhbU9qCyJGBIagy2FdRiX4kDWQkWGKS2z1Pl9CPOImNydnwXSk49xaeouOu93UHtFy8IApLOuwUFzy9D7eZPYBt7bv05q4pQuXYFEn9xE2T7z0sxqxrw9uYi/GJYMqYMSgzRT9C0PBuPVgMA5k/si18MT4XTq0DRNAio3xDKapRC/rxE1DW6rumHciAfAEzqH4/kWCOKOzkCv7F+CWbEGCV4FQ0Hj6901hpV1VDh9GJidnyrU6ko8vxndxn2lTqDHrQn21OQeOZ1qFzzPHxVRdA0DeWfPAbzgHGIHXlGi+NFAXj4y7xu2dq1sNqNA6UOiAJwysBEiKKAWLOMOIsBdouBgd8It9alSKLr0A/1PP2kGCPmjkmDx6/C2cn9yANEUcDw9PpBUQfKnHD7Wr8wKajxIN1uxtzR0bORi969/FM+urgBI2JHnQlz9hiUf/IP1G78EL6yw0iauazVY9XjKz1uL6jt2pO24tv95QCA0X3iEBfE0rtEFB4M/RA7fUgyxmXZUVDtDnrefrrdhHiLDEX7eUpUY7VuP1RVw8XjMljLjxJ7SxzYkl+LIF8STSTNXAZf6WFUfvEskmYug2RtubpfgCQAr24o6PqTNvPtgfrQn5oT+q4DIuo+ug39UE/ZazivKODKSX3QL8GKw+WuDo/Cb0wQgBEZ9bX9IxUu1Hl+LqfD40dpnRfTBydh6qD213CnyLHuYEWXa/kBUkw8YseeC0NSX1iHnNLusYqGTm/0c6JBoYqq4fuD9eecmpPUqXMTUXjpNvS7cxnedLsZS6dnIzPejLxyF7xBrIufFGNEms0IDfVT+ACgyuVDca0X03KSsGhyX4gcsR81dhTUBjWAry2CKAJix/rNq1x+lNR2bJvcjtiWX4Nqlx92s4xRmfaQnZeIup9uQz/UG+40NyDJilvPGIAhqTE4WuFGucPb6QE9w47vmldY48Guojo4PArOHZGKJVOyOM85ymwtqO3SqntdtbOwLmTnCvTnnzIwkWvmdwCn01IkCeo/9tChQw3rSTf+mDFjRoiL1326q3m/sawEC+6amYMLx6bDr2g4WOZCpdPX4fA3G0UkWesHSZU7vFg2vT8WTu4T8h3VqPuV1oV2TfzOEAAU1YSupt/Qnz+ITfsdxeCnSBHUPP2srCwUFhY2fF9UVISzzjoL06ZNC1nBupskSSHdcKctVqOEeeMzMa6vHV/sKcemo9U4WOaCLAmwGiVYDSJkSYSA+sV26kf+q3D5FAiCgBEZsVh3sBKVTj9cPpVvHlHKH8ZqviAgqC6m1tS4fNiaXwOA/flE0Sio0JckCenp6QAAt9uNuXPn4pRTTsHdd98dyrJ1q57eWndoWiyGpsWiqMaDnw5XYV+JA4fKnah1K/CrfmjQIECASRaRZjNiUEoMcjNsOCnLjie/PowVPxzDo2vyMGVgAqRQjQijHiOJQtNtcrsofuoCxE9d0KFjNQ0hax36Pq8CiqphYLIVmdzvgSjqdHlFvquvvhq1tbX4z3/+A1GMnmZnWZa7tU+/Lel2E+aMqp9b71c1lNR66lcyUzUYJBEJVgPiLXKTGv01p2bhzc1F2FfiwIfbi3HB6PQeLzd1TZxFRnkXlmjuCg1AYkxo5tJ/u5+j9omiWZdS+r777sPq1avx/vvvw2azhapMPSJQ0w/nalmyKCAzzoyclBgMTYvFwGQrEqyGFk34cRYDlpyaBQB4/KvDQW/qQ+EzKtMesil7wRiR3rGtb9ujaRq+Y38+UVQLOvTfeust3HvvvXj99dcxaNCgUJapR/R0835XzZ+QiTSbEUU1Hry6PvSLrVD3ys2IDemUvc4I1dbLeeVO5Fe5YZAETOzPNSI6QtM0LsNLESWo0N++fTsWLlyI3/72t8jNzUVRURGKiopQUdG5RUDCKdpC32yQsGx6fwDA8u+OoNoVnqZiCs7E7PiwTNmTBGBSdlxIBoAGpupNyE7g2vpEUSqo0F+/fj2cTifuu+8+ZGRkNHz88pe/DHX5uk13bLjT3eaMSkNOihU1bj+e//5YuItDnXBSlh3ZiZYer+0rGnDZ+MyQnCsQ+lO7Ydc+IuoZQYX+4sWLG5qtGn+sXbs2xMXrPtFW0wfqR4DfcvoAAMBLP+WHdO41dS9BELBgYp8ef94MuwmnDux6U7zXr+K/hyoBcBAfUTSLnuH2ISaKYtSFPgBMy0nE+H5x8PhVPPn1oXAXhzrh/FGpSI419uiAvhunZYdkueYNR6rg8qlIiTViaFrXBwUSUXjoNvR7YkW+7iAIAm49o762/97WYuwvbbkLH0WmGJOMP88eEpKd9k5EEoCTB8SHbOvlQNP+lEFJXCCKKIrpNvSjsU8/YEwfO84amgxVA/6xJi/cxaFOmDIoEReNTe/W2r4oAEZZxJ9nDwlZQP+8lS6b9juLF0kUSXQd+tFY0w+4+fT+kARg7b4KbDhSHe7iUCfcNTMHJ2XFdUvwCwBEQcATl41Euj00K+aV1noadnqcwkF8QWHwU6TQbejLstwja+93lwFJVvxybAYA4JEv8zgXOIqYZBFPXDYS4/vFIZRZIAmAQaoP/InZ8SE7b2BBntwMGxJjjCE7LxH1PN2GfrTX9AHgxtP6wWIQsSW/Bl/uKQ93cagTrEYJT88bhcWT+x6vnXftfAKA/klWvLR4XEhG6zf27QEuvUvUW+g69FVVjeoacorNhCsn9QUAPLo2L6QbulD3M8oifnPmQKxaPLZhxbzOhr8o1H9cP7Uf3rj2JAwLwXK7jalqo6V3GfpEUU/XoQ8gagfzBVx1Sl8kWA04VO7Cu1uKwl0cCsKYPna8d8NEPHZJLib1j2+4XW7lCkAShYYFfpJiDLjhtGz851eTsXR6/5DtpNe4/3lXUS0qHD5YjRLG9o0LyfmJKHy6vMtetJLl+h9dUZSGr6NRrEnG9VP74YHPDuDJrw/jvNxULpEahWRRwOlDknD6kCQU1bix+VgtdhXVYVdRLaqcPvhVDRaDhP7JVoxIj0VuRixGZtpbvTAIpcBUvZMHJMAo67aOQNRrRG/adVGgpu/3+2EymcJcmq65ZFwGVv03H/lVbrz0Uz6WTOkX7iJRF6TbzThnhBnnjEgJd1F+nqrHXfWIegXdXroHQj/aB/MB9X3Dvzq+Gc/z3x9FpbPtzXhUTYMaxeMYqOfUefzYdLR+Oij784l6B93X9HtD6APAubkpeOGHY9hVXIfl3x3Bb88eBLdPQWmdF7VuP8odXlS5/FCPD/YzyCKSYwyItxphN8tIjjV2e1MxRQdN0yAIAv57qBI+RUNWggXZSdZwF4uIQkD3oR/tA/kCREHALWcMwPWvbMMrP+VjfJYdDo+CyuNb8BolESZZbFiH3eFRUF7nhaLVQRIFpMQaMSg5Bn3izRwTQAAa7arHWj5Rr6H70O8tNX0AmNAvDrkZMdhR6MAz3x7B/PGZyIq3QDpBDd6rqKhw+PDtgQokxxoxKtOGfomWkGzUQtGLW+kS9T667dNvPHq/Nyit9eCrfeUY16d+WtXuYgccPuWEgQ/UtwKk203ITrTA4VHwzf4K/PdQFZze3vG7oc47WuHE4QoXZFHAyQMY+kS9hW5DvzfV9Aur3fjmQAUKazwYnx2Hk/rZAQAfbC3u1HlEQUC63YTkWCN2FdXh+7xK1Hmid6liCl5gFb6xWXGINeu2QTBkuPY+RQrdhr4oihAEIepDv6jGg+/zKuH2qciKN0MWRcwZmQZRAHYVO7CnuK7T57QYJGQlmHGkwoUf8ipZ49ehn5v22Z9P1JvoNvSB6F9/3+HxY/2RKri8CjLjzA21ieQYI07LqW+SfW9rMVS0nKL36N234y+3XdfmuWVRRFaCGUcr3diaX8NpfjriU1R8n8f19ol6I4Z+lIa+pmnYXliL0lovMuJabqE6c3gKTLKIo1VubD4a3Na7sljf17+3xIHDFa6uFpmixJZj1XB4FMRbDRiRYQt3cYgohBj6URr6x6rc2F/iRJrN1Oooe5tJxllD62tp728rgT/IqYkWgwSTLGJbfg2b+XXiu+P9+VMGJnZoICgRRQ+GfhSGvqZpOFDqhKpp7c6pP31IMmwmCeUOH747UBn086XEGlHh9OFYlTvoc1D0+HY/m/aJeivdhr4gCBBFMSpDv9zhQ2GNG0kxxnaPM8kizstNBQB8urMULn9wP6soCLAYJBwsdXD73l6u0unD9oIaAMAUDuIj6nV0G/pA9Nb0C6rdcPvUDq2cd/KAeKTGGlHnVfDl7rKgnzPRakBpnReltZ6gz0GR74e8SmgAhqTFIs0e3RtRRQKNA2ApwjD0ozD0S2q9sBg6tlSuLIqYM6q+tv/l3nLUuIObd2+QRCiaFvTjKTp8d7C+G4ir8BH1Tgz9KAt9j19FjdsHq7Hjf7oxfe3on2iBV9HwyY6SoJ9bFkWUO9rewY+im6Zp+D4Q+uzPJ+qVdB360dinX+fxw+VTYZY7vimOAAHnj04DAKw7WImS4030zrpaHNyzs8lHaVFBm+exGESUO7xssuyl9pc6UVLnhVkWMaFffLiLQ0TdQNfra0ZjTd+vaFBVDbLUualUg1NikJsRix2FdXh7SxE0ANs2/IBbFsxqctzZF1yKX/3hwVbPIYsCFFWDogEyZ3JFPVXToGlomJa37ngtf2L/BJg62H1EJ8YleCmS6D70o21rXe34RzDOH5WGXUV12FFYh+lzb8N7d/8NAjr3hqQhMDiJb2TRxOlVsKOwFseq3Mgrc+JIpQtef/1r3yCJ6JdowTfHl96dmB0fxpL2Tgx+ihS6DX1BEKKypi8JgCjU19I6u/VtZpwZV0zqgxd/zMdX+yoQY5Rw7ojUDj9e1QBBABdsiSIF1W6sO1iJbw9UoKTWC1XTIIkCLAax4e/o9fqx4UgVDpTVr7q47mAF4iwGTBmUiKxEaziLT0QhptvQB+q31/X7o2s0usUowSRL8PhUyKbOD8mY2C8eDo+CtzYX4eMdpbAYJMwY3LFBWx6/ijS7sdMXG9TzvH4Vq3eV4sPtJah0+hBrktAn3gSD1PprpqTWCwAwSQI0TcPrG/KxemcJZo9Kw+xR6WzuJ+oldB360VjTjzFKsBpFuLwqYoKcRj1jcBJcXgUf7yzFW5uLEGOSMLEDA7fcfhXJJ1gQiMLvaKULL/54DNsLahFjkjAo2XLC5uXA+gtpdhPS48zQNA2ldV68/NMxbM2vwVWnZqN/Emv9RNGOo/ejLPQFQUBKrBFOX9fKfU5uCqYPrp+L/e8f87G9sLbd41VNgwANdouhS89L3Wt/qQOPfJmHrfm1yIgzIdVm6lB/ckldfU0/xVZ/JSkIAlJtJvSNN2NbQQ3+9tk+7C5q/zVCRJFP16EfjQP5ANTvqqdpQW+iA9RP4/vl2HRM7BcHFcBz645if6mjzeNr3H7YzDJSYlnTj1SHK1x44qtDKKh2Y0CSBeYONsm7vArqPPUXkckxTS/qTAYJA5OtKKn14LE1B3GgndcIEUU+3Yd+tNX0ASDdbkJirBGVzq4tlCNCwOUTMzEyIxZ+VcMz3x7B0arWt9CtcvqQnWjt0NK/1POcXgXPrzuCgmoP+idaIHZisOVnT9+Dww/OxuEHZ+Nf10zFC7fOxY9vPwtVqR/vIgoCspMsKK5xY/k3h1Dnia5xMET0M4Z+FIa+QRKRkxyDOo8CpYsb4MiiiKtOycKgZCvcfhVPfnW4YfGegDqPHyaDiH4J5i49F3WfD7cXY3eJA1kJ5k4FPgC4/QrMA8Zj2h/fxBV/fwvjzrsCP761HBs+XNVwjCgI6Jdowb6SOryzqe0FnKglTtejSMLQj8LQB4AByVZkxplQWNP17W6Nkojrp/ZD33gz6rwKHv/qECpd9X28iqqhpM6LIamxSGbTfkTaX+rA6p1liLfIMMqd+5fWNMDtUyHIBvTtkwF7cgZGn30xskZOQt6Gr5sca5BEJMYY8NmuEuwsrAnlj0BEPYShH6Whb5JFjOlrhyQKqHF3fT18i0HCTdOykRprRKXLjye+Oow6jx+FNR5k2E0YkRHLGkuE+mpfOeo8fiRaOz/Issrlq19/AUB8o8fLRhMUf8vXVYLVAKdXxZe7S7tSZCIKE4Z+lIY+AKTbzRiZaUOF0wdHCPpZbSYZS6dnI94io7jWi8fW5gHQMC7L3uFd/ahnlTu8+O/hKsRb5aAuyhrm58siRKF+tcUj237Eka0/ICt3YovjBUFAglXGhiPVKA5BKxMR9SzO04/i0AeA3Awb/IqGrQW1UDQNdnPXptQlWo246bRsPLImD4U1XnyyowSXnJQZotJSqG04Uo1qlx/9Ey1BPb70+FS9qj0/4plrpkNR/ICmYsip52DyRde1+ph4qwF5ZU78dLgKs0elB112Iup5ug79aJyn35woCBjT1w5ZErC9oBa1HgXpNlPQS+W6fQrcfhWLT+6LlT8cw9aCOtzxzi48fNEIyFx+N+IcKndCEIROD94DAJ+ioer4DJCMYSfhjKvvhCQbYEtKhSi1/dYgCgJEQcCBEk7fI4o2um/ej8Z5+s2JgoBRmXbMGJyEpBgDjlS6UFbn7dTIfo9fQUG1GyV1XgxNi8EVk/riictGwigJWLO3HH/6aC9UbqkbUTRNw75SJyyG4P6Ny+q80FC/e6LJYkF8ehZsyentBn6A1Shhf2ldl2eP6AHHwlAk0XVNX5blqK/pN5YRZ0aC1YADZU4cLHPiaJULkiDAapRgMUgwG0SIQv3a6oqmweVT4fIqcPpUGMT6JVhzUmLQL9ECURAwMTseD/1yBG59cwfe31oMu1nG/5w1kG9iEaLK5UeV0xd06AemZpqDeLzVKKHG7UdZnRdp9iDXgyaiHqfr0JckKeo23DkRs0FCboYNg1NiUFjjQWG1G6W1XtR5/ChzqMeX0xUgifXH2i0yBqeakBlnRoqt5WY6pw9Jwr2zh+L3H+zBv/+bj3iLjOunZofpp6PG3L76dRpkqfODLL1+tWEQn9kgAg0D9Tt2QSeLAhRVg7uLy0ETUc/Sfej3ppp+Y0ZZRHaiBdmJFqiahjqPAqdXOR769dvjxppkWAziCWvu549OQ43bjwf/cwCPf3UYcWYD5k3g4L5wUzVAQ0dj+mfVLj/WH66C26/CIAk468Z7IEudPItQ/9xs3CeKLgz9Xhr6jYmCALtZht0c/J/7ikl9UO3y4elvj+D+1ftht8g4Lzc1hKWkzjJI9QPqOjPWIr/KjS3HaqBogMUgYmJ2fOcDH4CqahAFcHAnUZTRfej3hoF8PeWmadmodvvxyvoC/P79PYg1yZiWkxjuYulWgtUAi0GE26ci9gTd6qoG7Cqqw8EyJwAgOdaA8VlxnV7BL8DtU2GWJSRxq2WiqKL70ft6qOmHiiAIuPMXg3Bebgr8qobfvLUTG45Uh7tYumWQRPRLtMDpbf817PWr+DGvsiHwByVbcXL/hKADH6jf4KdvggUWbsBEFFUY+gz9ThEFAffNGYppOYnw+FUse307dhfVhbtYujUo2QqfokFro4m/yunD1/srUObwQRKA8f3iji+p3LXn9fhVDE6N7dpJiKjHMfQZ+p1mkEQ89MvhOCnLjjqPgutf3YbDFa1vyUvdKzfDBrNBhNPXspvqWKUb3x2shMunwmoUMXVQIjLjuj69zuVVYDKIGNnH1uVz9XZtXYwRhYvuQ599+sGxGCQ8fulIDEuLQYXDh+te3oqiGs+JH0ghNSQtBoOSrSg7vpwuUD/IbntBLTYdq4GqAamxRkzLSYLdEpohPKV1HgxIikFuhj0k5yOinqP70O9t8/R7ks0s4+n5o5CdaEFBtQfXv7INlc6u7/hHHScKAmYMTjq+Ra4Ct0/F93lVyCuvb3kZnGLFpP7xMAQxQr81Hp8CvwqcPjQ56KWe9YaLWVEk0X3os6bfNUkxRiy/fBRSbUYcLHPiple3h2THP+q4UwYmYFSmDftLnfh6XzkqnD7IooAJ/eIwLL3r/fcBmqbhWJUbuRk2TMtJCs1JiahH6Tr0e8OGO5EgM86MZy8fjXiLjO2Ftfj1mzvh8fNiqqcYJBHJsQYcKnfBo2iIMUqYOigRGSHov2+spNYLu9mAKydnwcStlomikq5Dv7etvR9OA5OteGreKFiNEn48VIXfvrsLfm7G0u18ioo/f7IPj609DA1AnFlGbkYsbObQhnKFwwu3T8WFYzOQw1H7RFFL96HPPv3QGZlpw2OXjIBBEvDFnnLc89Fejl7uRqW1Hlz97614fWMhBABLp/XDrWf0h9evoaTWE5LfvaZpKK3zoMbtx9wx6ZgzOr3rBSeisNF16LN5P/Qm90/A3y4cDlEA3t1ajL9/kcfg7wabj1Xjsuc3YfOxGthMEh6/NBc3nNYfvxybcXxfBAGHyl3wdqGbxaeoyCt3QlGA+RP64rIJfTkojSjKcRleDuQLuTOHJuOeWUPwhw/34oUfjyHeIuPaKf3CXaxeQdM0vLGxEP/32QH4VQ05KVY8enEushMtAOpHis8amYqcFCte/ikfu4sdsBpFJMUYO7wCn09RUVbnhdOrYEhqLBZMzsLITE7PI+oNdB/6rOl3j7lj0lHj9uNvnx/EP9Yegt0s49Lx3JmvKzx+FX/5dB/e2VIMADh7WDLumzMU1laWwh2aFos7Z+bg891lWLu3HAXV9c39MSYJVqMEi0FCYMadqgEuX/0ujE6vCkEQkG434cKxmZg5IhUxJl2/TXSJIAhsHaGIouv/ZlmWWdPvRgsn90WVy4dnvzuK+z7dD5tZxrncmS8oRTUe3PrmTmwvrIUoAL8+fQCuOrn95naLQcKcUWk4e1gyNh+rwX8PV+FAqRO1Hj/K6nxQjne7iIIAi0FErEnGqEwrThmUjPH94rmuPlEvpOvQ5+I83e9X0/ujxuXHaxsL8bv398BmljF1EHfm64z1R6pw29u7UOHwwW6W8bcLh+HUgR3/HZoNEk4ekICTByRAUesH+RXXeuD114e+URaQajMh1WaCQRJhMBi660chojDTdeiLosiafjcTBAG/OycHNR4/PtlRilvf3Inll4/CuKy4cBct4mmahpfXF+Chzw/Cr2oYmhqDRy4egawES9DnlEQBGXFmZMSZQ1hSIooWuh69zz79niEKAv4yZyimDkqA269i6WvbsaeYO/O1x+1T8PsP9uCB4wP2zstNwarFY7sU+EREDH2Gfo8wSCIevmgExvW1o9aj4PpXtuEId+ZrVUG1Gwtf2IIPtpVAEoA7zhqIBy4YBgtXwYs6nK5KkUb3oc/m/Z5jMUh4/LKRGJoag/LjO/MVc2e+Jn48VInLntuIXcV1SLAasPzy0Vg4mfPjiSg0dB36XIa359mP78zXL8GM/GoPbnh1G6pd3JlP0zS88MMxXPfyNlS5/BiRHovXrh6HSf3jw100IupFdB36bN4Pj+RYI5ZfPhqpsUbsL63fmc/p1e/fwelV8Nt3d+OhLw5C1YDzR6fhhYVjONiOiEKOoc/QD4s+8WY8c/koxFlkbC2oxa/f3NGlJWOj1dFKF654YTM+2VkKWRTwu5k5uG/2EJjZf09E3UD3oc95+uGTkxKDpy4bCYtBxA95Vbjzvd1QdLQz33cHKjDv+U3YV+JAUowB/1owGvMnZLL/noi6je5DnwP5wmtUHzv+cUkuDJKA/+wuw70f7+v1I541TcO/vjuCG1/djhq3H6MzbXjt6pMwvl/41y7gBUdo8fdJkUb3oc/m/fA7ZUAC/jq3fme+t7cU4ZEv88JdpG7j8Phx29u78I+1h6ABuGhsOlZcOQZpdlO4i0bdhMFPkYShz9CPCGcNS8bd5w0BAKz44RieW3c0zCUKvcMVLixYuRn/2V0GWRTwx3MH4+5ZQzq8+x0RUVfpehleTtmLLBeOTUe124e/f5GHR9fkwW6WcclJGeEuVkh8ta8cd723G7UeBamxRvz9ohEY25fb1RJRz9J16LOmH3kWn5yFapcf/1p3FH/+ZB9sZhnnjEgJd7GCpmoanvn2CJ78+jAAYFxfOx6+aASSY41hLhkR6ZGuQ58b7kSmm2f0R7XLjzc2FeKu93bDZpIwJQp35qt1+/G79/dg7b5yAMC88Zn4n7MHwiCxOV8vevugVIo+un73YU0/MgmCgN+fk4NzRqTAr2q49a2d2HysJtzF6pSDZU5cvmIT1u4rh1ES8OfZQ/D7c3IY+DrCwKdIpOt3IIZ+5JJEAfefPxRTBibA5VNx02vbsbfEEe5idcgXu8swf8UmHKpwId1uwosLx2LumPRwF4uIiKHP0I9cgZ35xva1o9btx/Uvb8PRysjdmU9RNTy2Ng+3vLUTTq+CidlxePXqccjNtIW7aEREAHQe+rIss08/wlmNEh6/NBeDU2NQ5vBiycvbUFIbeTvzVbt8WPb6djz7Xf1Uwysn9cHyy0cjKYYD9ogocug69AM1ffa9RbY4iwHPzBuJvvFm5Fe5cf0rkbUz374SB+av2IRvD1TCLIv4vwuG4n/OHgRZ5KIsRBRZdB36sixz7f0okWIzYfnlo5AS2JnvtcjYme/TnaVYsHITjla60SfOhFWLxmL2yLRwF4uIqFW6nrLHPv3okpVgwTPzR2Hxqi3Yml+LW9/aiX9ektvuinZ1Hj/KHT5UOLyocPrg9qkANBgkEQlWAxKtBiTGGJFgNXSqLP7j/fcrvj8GADh5QDz+Nnc44jt5HurdBEHgMrwUUXQf+uzTjy6DU2Pw5LyRWPLSVqw7WIm73t+Nv84dDqlRU7qiajhW5cbuolrsLXGg1qNAUTUIQMNxqqZB1QABQIxRQv8kK0ZkxGJAkvWEy+JWOX24491d+CGvCgBw9SlZuHlG/yZlICKKRLoPfdb0o8+YPnY8enEulr62HZ/tKoPNtA9/Om8wBEFAUY0bX++vwMEyJ3x+DYkxBmTFmyG3MT9eUTU4PH7sKqrFzqJaZMaZMXVQInJSrK3W0HYX1eGWN3cgv9oDi0HEvbOHRvWKgUSkL7oOfVEUGfpR6tSBCXhw7jDc8c4uvLW5CHazjKmDErEurxK1bj/6xJlhMUonPI8kCrBbDLBbDPApKgqq3Xh7SyHG9Y3DlIEJiDH9/C/y4fZi3PPRPrj9KrISzHj04lwMSY3pzh+TiCikdB363HAnuv1ieApq3X7c/fE+rPjhGDYcrcbk/vHISQkuiA2SiOxEK2rcfnyfV4myOi/OzU1FrEnCw1/m4d//zQcATB2UgAcuGIY4C/vviSi66Dr02acf/eaMSsP3eZVYvasMW/Nr0TfOjJTYru1NbzfLsBis2F/qwGsbCvDdgQpszq8FAFw3pR9umpbN/nsiikq6D33W9KPbdwcqYDcbMKGfHeuP1OCTnaUwG0UMS+vaKngGSYTFIOH574/A5dNgMYj4v/OH4cxhySEqec9pfGEbWJOirc+iKEIURY46J+qlGPoM/ah1sMyJ9UerkWozYnCKFX5Fw+b8Wry7pRiXniRhYLK1zceufPBOfL/6XQCAKMlISEnD+Onn4PyrbobBaMLW/Bp8sqMEigbEmiTc9YuciAj8zgT4iTQO9UDQA4CiKBAEgeFP1Asx9Bn6UcnpVfD1/nL4Fa2hb/2c3FS4/Sp2Fzvw1qZCXD4xE33iLW2eI3fSaVj0P/dD8ftxZO8OrHjwTmgAYk9bhI1H63f1G5wSg1MHxCOv3ImiGg/S7V3rOmguEOLtBXdHQrx5gDe+LfC5+e2B75vTNA2apjH8iXohhj5DPyrtLXHgSKULA5J+HrQnCgIuGJ0Gz8ZC5JW78NqGQlw5qQ9SbK0HtWwwIi6xfrpdYmoGBq8+Geu++QrJ/S8EAEzLScSUgQkAgP2lDmzNr0G6ve3pec0DvPHXnamFNw7XQNgGG+DBCDyfpmlQVRWapkEQBEiS1KJ8RBRddB/6QP2bdeBrinyKqmFbfg3MstRifXtJFHHR2Ay8vD4fBdUevLK+AAtP7oN4S/sb32zasg27tmyAaEuFSRZw/qg05KRYAWjQNCDBImNnQQ0mZNlgM9W/VkIV4M1vB0Ib4sEKBH1r4c/gJ4pOug59g6G+WVhRFIZ+FDlW5UZ+lRtpbTS1G2URl43PxKr/HkNZnQ8v/1SAKyf1QaxJQiCnNU3Dtu/X4ubzxsHvV6D4vYAgYsCspVg4KROJFgNU5ef+8zizhIPlLuwvdeCkrDgAiKoA74pAEz+AhvBvPOCPiKKHrkM/EPQ+nw9GI7dAjQaqqqKw2gWvosIoCceb1ANN58cP0jQYBeDScel46adCVLn8eHVDAeaPz4AlsMSuBgweMxF9Zi3DrvwK1Pz0HuKtJtxy1WUwGY43Y0MABAGBXDMbfSh2KDCZQtuvHw0adyME+vsD4c/+fqLoEd1VkC4KhD779cNHVVWoqgpFUaAoCvx+P/x+P3w+X8OH1+tt+PD7/SiockGCBk1Vj39oaNzSLogCBFGA3WzA/PEZiDGKKK3z4a0tJVAgQjbI8GtAiVvEAV88jKkDcfGv74VWuh8bvngPkiRBkiSIkghR/LnmHmOSUVjthl/HazsEav2B8Pf7/VAUpaEFgFriBRFFEoY+GPqh0laANw7xxgEeCPFAcLQWHoGQCQSxIEooqfMh1mKEJMuQDfUfhkYfshz4kJBsN+PyiX1hlkXkV7nx9pYiHKpwYV+JA26/CrMsYv6ETEwdnIzzrrge7z33D3g97lZ/vhijhDqPgiont2NuHv5t/f2IKLIw9AGuyteK5gHeWi28owEeCIHmAR4IZ6PRCKPRCJPJBJPJBKPRCLPZDLPZ3OQ2o9EITZTg1wSYDVKTWnh70uwmXDahDwyigINlTrz033z4VQ0mWcA1U/ph0PFleydMPweCKGLNOy+1eh6jLMKnqPD4eZEY0HhKH8OfKPKxTx+9v6YfqgVdImEkunr8IqKzTaZZCWZcfFIGXttQAFUD4i0ykgxWJFh/Xj9fkmWcceEVWP3qvzDjgvkwWZou7iOgftyAyixrgdP8iKKDoOn4ctzj8cBsNmPPnj3IyMgId3E6JNQrsjUP8uafI20kutun4JlvD0MWhSaB3VEFVW7UevwYkhqLzuaQ11+/C9+ik/uhT7y508+tJ4HwD7x+9DjNL9DKZTabdfezU+RiTR/hq+n3xJKqzQO88W3hDvBgGOX6NfEdnuD61TO7ENYevwqTLMFqjL7fW09rPM0vMOBPr+FPFEl0HfqBN6VQhX4kLqna24iCgL7xZmw8WgWgZ6fOOb0KbCaJW+p2UOPXcaDmH7hdD3P8ddyIShFM16EPtL0Ub1sB3tZtbQn3kqq9UarNBCUMYy8dXj8Gp8ZA7OVhFWqN+/sb9/lzjj9Rz9N96ANAVVUVvF7vCY8LJsAb30ahkRFnglkW4fD4EWPqmZewompQVCAroe0NfKh9zcPf7/dzK1+iHqbrNHK73UhISMBVV12FXbt2tZhKZjAYOjyVzGAwwGAw/Lywy/E3MwZ+6GXGmdE/yYqSuhNfqIVKucOLpBgjclJjTnwwtYtz/InCR9eJZLVaUVhYiAULFmDmzJlYsWJFQ9gbDAbIsswAj0CCIGBkph2KqsHr7/52flXTUOn0YVQfG2KMbBwLlcZ9+4E1IZqv7UBEoaXrKXsBmqZhzZo1uOKKKzBx4kQ8+eSTSEhICHexqB1eRcWbGwuwr8SBwd1c+86vciPGKGH+xD5IsHKPhu7S26b5BX4Wk8kU1T8H9S6suqK+xnHGGWdg06ZN8Hg8OPXUU/Hjjz+Gu1jUDqMkYvrgZNjMMkprPd32PA6PHx6fgtNykhj43az56n6BFR6jvV7CwKdIwtBvJC0tDR999BGWLl2K2bNn4+GHH+71q/VFsz7xZpw6MAHVbj9qXL6Qn9/jU3Csyo0xfeOQm2kL+fmppeYDZBsvBR3t4U8UCdi834Z169ZhwYIFyMnJwbPPPovU1NRwF4laoaga1uwtxboDlUixGUM2h97tU3C4woWRmXbMHpUGy/HtdqlnBfr3A1P8ommkf6B532zm6o0UOVjTb8Opp56KjRs3wm6345RTTsHatWtZ04hAkihgxpBknJaThEqnH0crXVC7uDh+aa0HRyvra/izRjLww4lb+RKFFmv6J6CqKp566in89re/xbJly3DXXXfBYOCKbJFG1TTsLqrD1/vLUVjtRqrNhHiL3KkaYZ3Hj6IaD2wmGacOTMS4fnEwSrwujiSt7doYqTV/1vQpEjH0O2jTpk2YP38+kpOT8dxzzyErKyvcRaJWVLl8+P5gBXYV1aHa5YPNLMNulmE9vhVvY5qmweVTUefxo8rlg9UgY0CyFVMGJSIzjm/UkazxSP/G02kjKfwZ+hSJGPqdUFtbi1/96lf44IMP8NRTT2HWrFkR9SZDPyt3eLGvxIFt+TWodvng9CnQtPrtcQFAQ/3XZoOEGJOEEek2DEmLRWYcp1dFk0ie5qeqKkRRhMnUs3tEELWHod9JmqZh1apVWLZsGRYuXIg///nP/KeOYIqqocrlQ4XDhyqnFz5VA7T6sQB2i4ykGCPirQY240ex5nthREr4M/QpEjH0g7R7927MmzcPoihi5cqVyMnJCXeRiHSt+Uj/cO/mx9CnSMTqTZCGDRuGH374AaeccgpOO+00vP766xxNTBRGXNOf6MRY0+8iTdPw9ttvY8mSJbjgggvw17/+FTEx3JSFKNzCPcefNX2KRKzpd5EgCLjooouwYcMG7NmzB9OnT8fOnTvDXSwi3WPNn6glhn6IDBgwAF999RXmzJmDGTNmYMWKFVDV7t8Bjoja13xN/57czS/cgwmJmmPzfohpmobVq1dj0aJFmDZtGh577DHExcWFu1hEdFxPTfNTVRWSJMFo5EZNFDlY0w8xQRBwzjnnYNOmTaioqMCUKVOwYcOGcBeLiI7rrbv5EXUEQ7+bZGZm4rPPPsNVV12Fc845B//85z/Z3E8UIbibH+kVm/e7maZp+Prrr3HFFVdg9OjReOqpp5CcnBzuYhFRI90x0p/N+xSJWNPvZoIgYPr06di0aRMkScKpp56Kb7/9lrUJogjC3fxILxj6PSQ5ORnvvvsubrvtNlx44YV48MEH4ff7w10sImqE0/yot2Pzfhj897//xeWXX46+ffviueeeQ0ZGRriLREStaDytr7O7+bF5nyIRa/phMGnSJGzYsAEZGRk45ZRTsHr1atYiiCJQ45H+iqI0NPvz/5WiFUM/TOLi4vDSSy/hL3/5CxYuXIg//OEP8Hq94S4WEbWi8Xx+VVU7NM2PFwYUidi8HwG2b9+OefPmISYmBitWrED//v3DXSQiakNHd/NTFAWyLLN5nyIKa/oRYOTIkfjxxx8xZswYTJkyBe+++y5rCUQRqjOD/bgML0Ua1vQjiKZpePXVV3HjjTfi0ksvxf/93//BYrGEu1hE1I625virqgqDwQCDwRDuIhI1YOhHoH379mH+/Pnwer144YUXMHTo0HAXiYhOoPFI/0AN32g0MvQpojD0I5TH48Gdd96J5557Dg899BAWLFjApkKiMAq8VSqKgrKyMpSWlqKkpAQlJSUoLS1t+Gj8/Q033IDf/e53YS450c8Y+hFM0zR88MEHuPrqqzFz5kw8/PDDsNls4S4WUa8RePtzOp0oLi5uEdyBz2VlZQ1fl5eXQ9M0xMXFISUlBSkpKUhNTW3xkZaWhiFDhqBPnz5h/imJfsbQjwJHjhzBlVdeicLCQrz44osYPXp0uItEFLECW+dWVFQ0qY03r5E3/nA4HJAkCcnJyUhNTUVKSgrS0tIaPjf/OjU1tWG8DVvgKJow9KOE3+/HPffcg4cffhj33XcflixZ0rA6GFFvFniLcrvdLWrgzb8OfJSVlUFRFMTGxjbUxJvXyBsHeFpaGhITExvm4hP1Vgz9KKJpGr788ktceeWVmDhxIp588kkkJCSEu1hEnRYY9FZVVdXQrN5akAea1cvKylBTUwNRFJGUlNQkwFNSUpCent5wWyDM09LSEBMTA4C1caIAhn4UKi4uxqJFi7Br1y6sXLkSkydPDneRSOcCbyNer7fVPvFAcDcO9rKyMvh8Plgslobwbtys3jzAU1NTkZycDFmWATDIiYLB0I9SiqLgoYcewr333ou77roLv/71ryFJUriLRb1IoDZeU1PTaoi31jdeVVUFAEhMTGw1wAO3Bb5PT09HbGxsl/euJ6KOYehHuXXr1mHBggXIycnB8uXLkZaWFu4iUYQK/Kv7/f4mte7i4uIWtfDGHx6PB0ajsdV+8cb9442DPbD0LIOcKLIw9HuByspKXHvttVi3bh2ee+45TJ8+nW+2OhH4962rq2sxQr21EC8pKUFFRQUAID4+vskgt+a18tTUVKSnpyMtLQ12u73V9eWJKLow9HsJVVXx5JNP4s4778SyZctw1113cSWwKNR4AZjy8vKGsG4+h7xxzbysrAxOpxOyLJ9w3njjfnKTyQSAtXEiPWHo9zKbNm3CvHnzkJKSgueeew5ZWVnhLpLuBf7FXC5Xk9p481p58wVgVFWFzWZr0azevF888HViYiJr40TULoZ+L1RbW4tly5bhww8/xFNPPYVZs2YxCEIssABMZWVlhwe51dXVQRTFJgvANJ8zHrgtPT0dqampsFqtAFgbJ6LQYOj3Upqm4cUXX8SvfvUrLFy4EH/+858bmnOppcC/gcfjabVfvK0FYPx+P2JiYtptVg8EeGDKGReAIaJwYej3crt378a8efMgiiJWrlyJnJyccBepxwSmnFVXV3eoWb2srAzV1dUQBAGJiYmtLsfavGaelpaG2NhYAKyNE1HkY+jrgNvtxm9+8xu89NJL+Mc//oFLLrkkKgMq8FL1+XxNQjsQ2M2nngV2QvN6vTCZTE36xFtbjjWwsltycnLDIMho/D0REbWFoa8TmqbhrbfewnXXXYcLLrgAf/3rXxuWKA13uTRNQ11dXYd3OausrAQAJCQkNKmJt1UbDywAw0FuRKR3DH2dycvLw+WXX47q6mq8+OKLGDFiREjP33gBmPLy8ibh3VqABz7cbjcMBkOL5VjbGq2ekpLCKWdERJ3E0Nchr9eLP/zhD3jiiSfw4IMPYtGiRe3u2Bd4iTgcjg7vctZ8z/ET7XKWnp6OuLg41saJiLoRQ1+nNE3Dp59+isWLF2P8+PG4+uqrG1Z1azzArbU9x5uPVG9rz/G0tDSYzWYArI0TEUUChr7OFRQUYNKkSXC5XBg8ePAJdznjnuNERNGLoU9QFAWapjVsWUpERL0TQ5+IiEgn2h69RURERL0KQ5+IiEgnGPpEREQ6wdAnIiLSCYY+ERGRTjD0iYiIdIKhT0REpBMMfSIiIp1g6BMREekEQ5+IiEgnGPpEREQ60WtD/8UXX0RSUhI8Hk+T2+fOnYsrr7wyTKUiIiIKn14b+pdccgkURcH777/fcFtJSQk++ugjXH311WEsGRERUXj02tC3WCy4/PLLsWLFiobb/v3vf6Nfv36YMWNG+ApGREQUJr029AFgyZIl+Oyzz5Cfnw8AWLlyJRYvXgxBEMJcMiIiop4naJqmhbsQ3Wn8+PG4+OKL8Ytf/AKTJk3CoUOHkJWVFe5iERER9Tg53AXobtdeey0effRR5Ofn46yzzmLgExGRbvX6mn51dTUyMzPh9/vx4osv4rLLLgt3kYiIiMKiV/fpA0BcXBwuuugixMbGYu7cueEuDhERUdj0+tAHgPz8fCxYsAAmkyncRSEiIgqbXt28X1lZibVr1+Liiy/Gzp07MXTo0HAXiYiIKGx69UC+cePGobKyEg8++CADn4iIdK9X1/SJiIjoZ7ro0yciIiKGPhERkW4w9ImIiHSCoU9ERKQTDH0iIiKdYOgTERHpBEOfiIhIJxj6REREOsHQJyIi0gmGPhERkU4w9ImIiHSCoU+kA6WlpUhPT8f999/fcNu6detgNBrxxRdfhLFkRNSTuOEOkU58/PHHmDt3LtatW4ehQ4di7NixuOCCC/Dwww+Hu2hE1EMY+kQ6snTpUnz++eeYMGECtm3bhp9++gkmkyncxSKiHsLQJ9IRl8uFkSNH4ujRo9iwYQNGjRoV7iIRUQ9inz6Rjhw4cAAFBQVQVRWHDh0Kd3GIqIexpk+kE16vF5MmTcLYsWMxdOhQPProo9i2bRtSU1PDXTQi6iEMfSKduOOOO/Dmm29iy5YtiI2NxfTp0xEXF4cPP/ww3EUjoh7C5n0iHVi7di0effRRrFq1Cna7HaIoYtWqVfjmm2/w1FNPhbt4RNRDWNMnIiLSCdb0iYiIdIKhT0REpBMMfSIiIp1g6BMREekEQ5+IiEgnGPpEREQ6wdAnIiLSCYY+ERGRTjD0iYiIdIKhT0REpBMMfSIiIp1g6BMREekEQ5+IiEgn/h/5t9BLHKxkNAAAAABJRU5ErkJggg==\n", "text/plain": [ - "
" + "
" ] }, "metadata": {}, @@ -987,6 +656,31 @@ "peptide = Peptide(\"APRLR\", [\"\", \"\", \"F\", \"Y\", \"\"])\n", "protein_folding_problem = ProteinFoldingProblem(peptide, mj_interaction, penalty_terms)\n", "qubit_op = protein_folding_problem.qubit_op()\n", + "\n", + "# set classical optimizer\n", + "optimizer = COBYLA(maxiter=50)\n", + "\n", + "# set variational ansatz\n", + "ansatz = RealAmplitudes(reps=1)\n", + "\n", + "counts = []\n", + "values = []\n", + "\n", + "\n", + "def store_intermediate_result(eval_count, parameters, mean, std):\n", + " counts.append(eval_count)\n", + " values.append(mean)\n", + "\n", + "\n", + "# initialize VQE using CVaR with alpha = 0.1\n", + "vqe = SamplingVQE(\n", + " Sampler(),\n", + " ansatz=ansatz,\n", + " optimizer=optimizer,\n", + " aggregation=0.1,\n", + " callback=store_intermediate_result,\n", + ")\n", + "\n", "raw_result = vqe.compute_minimum_eigenvalue(qubit_op)\n", "result_2 = protein_folding_problem.interpret(raw_result=raw_result)" ] @@ -999,9 +693,9 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "
" + "
" ] }, "metadata": {}, @@ -1043,12 +737,14 @@ "cell_type": "code", "execution_count": 17, "id": "8f7e04a1", - "metadata": {}, + "metadata": { + "tags": [] + }, "outputs": [ { "data": { "text/html": [ - "

Version Information

Qiskit SoftwareVersion
qiskit-terra0.21.0
qiskit-aer0.10.4
qiskit-ibmq-provider0.19.2
qiskit-nature0.4.2
System information
Python version3.9.12
Python compilerClang 12.0.0
Python buildmain, Jun 1 2022 06:36:29
OSDarwin
CPUs6
Memory (Gb)32.0
Wed Aug 17 12:02:22 2022 PDT
" + "

Version Information

Qiskit SoftwareVersion
qiskit-terra0.23.0
qiskit-aer0.11.2
qiskit-ibmq-provider0.20.0
qiskit-nature0.5.2
System information
Python version3.9.15
Python compilerGCC 12.2.0
Python buildmain, Nov 13 2022 11:47:20
OSLinux
CPUs32
Memory (Gb)153.51190185546875
Thu Mar 09 15:51:20 2023 EST
" ], "text/plain": [ "" @@ -1060,7 +756,7 @@ { "data": { "text/html": [ - "

This code is a part of Qiskit

© Copyright IBM 2017, 2022.

This code is licensed under the Apache License, Version 2.0. You may
obtain a copy of this license in the LICENSE.txt file in the root directory
of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.

Any modifications or derivative works of this code must retain this
copyright notice, and modified files need to carry a notice indicating
that they have been altered from the originals.

" + "

This code is a part of Qiskit

© Copyright IBM 2017, 2023.

This code is licensed under the Apache License, Version 2.0. You may
obtain a copy of this license in the LICENSE.txt file in the root directory
of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.

Any modifications or derivative works of this code must retain this
copyright notice, and modified files need to carry a notice indicating
that they have been altered from the originals.

" ], "text/plain": [ "" @@ -1097,9 +793,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.12" + "version": "3.10.9" } }, "nbformat": 4, "nbformat_minor": 5 -} \ No newline at end of file +} diff --git a/pyproject.toml b/pyproject.toml index 382f1b53..83c9d2b0 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -24,7 +24,7 @@ classifiers = [ requires-python = ">=3.8" dependencies = [ - "mapomatic==0.6", + "mapomatic==0.8.0", "mthree==0.24", "pylatexenc", "qiskit-aer~=0.11", @@ -32,7 +32,7 @@ dependencies = [ "qiskit-ibm-runtime", "qiskit-ibmq-provider", "qiskit-nature~=0.5", - "qiskit-terra==0.22", + "qiskit-terra==0.23", ] [project.optional-dependencies] diff --git a/qiskit_research/protein_folding/protein_folding_problem.py b/qiskit_research/protein_folding/protein_folding_problem.py index 5698306c..6fa7cf1e 100644 --- a/qiskit_research/protein_folding/protein_folding_problem.py +++ b/qiskit_research/protein_folding/protein_folding_problem.py @@ -14,7 +14,7 @@ from typing import TYPE_CHECKING, List, Union -from qiskit.algorithms import MinimumEigensolverResult +from qiskit.algorithms.minimum_eigensolvers import MinimumEigensolverResult from qiskit.opflow import PauliOp, PauliSumOp from .interactions.interaction import Interaction @@ -109,7 +109,8 @@ def interpret(self, raw_result: MinimumEigensolverResult) -> "ProteinFoldingResu # pylint: disable=import-outside-toplevel from .protein_folding_result import ProteinFoldingResult - best_turn_sequence = max(raw_result.eigenstate, key=raw_result.eigenstate.get) + probs = raw_result.eigenstate.binary_probabilities() + best_turn_sequence = max(probs, key=probs.get) return ProteinFoldingResult( unused_qubits=self.unused_qubits, peptide=self.peptide,