From 8ffa5bbec6d7fcfe383dd735f6134f6a7d68e84e Mon Sep 17 00:00:00 2001 From: "Kevin J. Sung" Date: Fri, 9 Jan 2026 20:33:59 -0500 Subject: [PATCH 1/8] SQD tutorial: add section on passing initial occupancies --- ...sample-based-quantum-diagonalization.ipynb | 248 +++++++++++++++--- .../extracted-outputs/8d7985bc-1.avif | Bin 0 -> 53882 bytes ...affd888-e89c-4aa9-8bae-4d1bb723b35e-0.avif | Bin 55690 -> 58083 bytes 3 files changed, 209 insertions(+), 39 deletions(-) create mode 100644 public/docs/images/tutorials/sample-based-quantum-diagonalization/extracted-outputs/8d7985bc-1.avif diff --git a/docs/tutorials/sample-based-quantum-diagonalization.ipynb b/docs/tutorials/sample-based-quantum-diagonalization.ipynb index 6f9229adca8..537acc1d8ac 100644 --- a/docs/tutorials/sample-based-quantum-diagonalization.ipynb +++ b/docs/tutorials/sample-based-quantum-diagonalization.ipynb @@ -161,16 +161,14 @@ "metadata": {}, "outputs": [], "source": [ + "import ffsim\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", "import pyscf\n", "import pyscf.cc\n", "import pyscf.mcscf\n", - "import ffsim\n", - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "\n", "from qiskit import QuantumCircuit, QuantumRegister\n", "from qiskit.transpiler.preset_passmanagers import generate_preset_pass_manager\n", - "\n", "from qiskit_ibm_runtime import QiskitRuntimeService\n", "from qiskit_ibm_runtime import SamplerV2 as Sampler" ] @@ -249,7 +247,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "E(CCSD) = -109.2177884185543 E_corr = -0.2879500329450045\n" + "E(CCSD) = -109.2177884185544 E_corr = -0.2879500329450036\n" ] } ], @@ -335,7 +333,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Using backend ibm_fez\n" + "Using backend ibm_torino\n" ] } ], @@ -606,8 +604,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "Gate counts (w/o pre-init passes): OrderedDict({'rz': 12438, 'sx': 12169, 'cz': 3986, 'x': 573, 'measure': 52, 'barrier': 1})\n", - "Gate counts (w/ pre-init passes): OrderedDict({'sx': 7059, 'rz': 6962, 'cz': 1876, 'measure': 52, 'x': 35, 'barrier': 1})\n" + "Gate counts (w/o pre-init passes): OrderedDict({'rz': 12378, 'sx': 12259, 'cz': 4006, 'x': 540, 'measure': 52, 'barrier': 1})\n", + "Gate counts (w/ pre-init passes): OrderedDict({'sx': 7096, 'rz': 6997, 'cz': 1896, 'measure': 52, 'x': 44, 'barrier': 1})\n" ] } ], @@ -695,54 +693,54 @@ "text": [ "Iteration 1\n", "\tSubsample 0\n", - "\t\tEnergy: -108.97781410104506\n", - "\t\tSubspace dimension: 28561\n", + "\t\tEnergy: -103.34758728724537\n", + "\t\tSubspace dimension: 16\n", "\tSubsample 1\n", - "\t\tEnergy: -108.97781410104506\n", - "\t\tSubspace dimension: 28561\n", + "\t\tEnergy: -103.34758728724537\n", + "\t\tSubspace dimension: 16\n", "\tSubsample 2\n", - "\t\tEnergy: -108.97781410104506\n", - "\t\tSubspace dimension: 28561\n", + "\t\tEnergy: -103.34758728724537\n", + "\t\tSubspace dimension: 16\n", "Iteration 2\n", "\tSubsample 0\n", - "\t\tEnergy: -109.05150860754739\n", - "\t\tSubspace dimension: 287296\n", + "\t\tEnergy: -106.69621925150757\n", + "\t\tSubspace dimension: 300304\n", "\tSubsample 1\n", - "\t\tEnergy: -109.08152283263908\n", - "\t\tSubspace dimension: 264196\n", + "\t\tEnergy: -107.96222925033021\n", + "\t\tSubspace dimension: 294849\n", "\tSubsample 2\n", - "\t\tEnergy: -109.11636893067873\n", - "\t\tSubspace dimension: 284089\n", + "\t\tEnergy: -106.01945939078132\n", + "\t\tSubspace dimension: 303601\n", "Iteration 3\n", "\tSubsample 0\n", - "\t\tEnergy: -109.15878555367885\n", - "\t\tSubspace dimension: 429025\n", + "\t\tEnergy: -108.98177064089225\n", + "\t\tSubspace dimension: 291600\n", "\tSubsample 1\n", - "\t\tEnergy: -109.16462831275786\n", - "\t\tSubspace dimension: 473344\n", + "\t\tEnergy: -109.00639882523528\n", + "\t\tSubspace dimension: 303601\n", "\tSubsample 2\n", - "\t\tEnergy: -109.15895026995382\n", - "\t\tSubspace dimension: 435600\n", + "\t\tEnergy: -108.1281084709424\n", + "\t\tSubspace dimension: 309136\n", "Iteration 4\n", "\tSubsample 0\n", - "\t\tEnergy: -109.17784051223317\n", - "\t\tSubspace dimension: 622521\n", + "\t\tEnergy: -109.09095739567931\n", + "\t\tSubspace dimension: 384400\n", "\tSubsample 1\n", - "\t\tEnergy: -109.1774651326829\n", - "\t\tSubspace dimension: 657721\n", + "\t\tEnergy: -109.09470903152527\n", + "\t\tSubspace dimension: 401956\n", "\tSubsample 2\n", - "\t\tEnergy: -109.18085212360191\n", - "\t\tSubspace dimension: 617796\n", + "\t\tEnergy: -109.0684101215995\n", + "\t\tSubspace dimension: 393129\n", "Iteration 5\n", "\tSubsample 0\n", - "\t\tEnergy: -109.18636242518915\n", - "\t\tSubspace dimension: 815409\n", + "\t\tEnergy: -109.15391289350808\n", + "\t\tSubspace dimension: 532900\n", "\tSubsample 1\n", - "\t\tEnergy: -109.18451014767518\n", - "\t\tSubspace dimension: 837225\n", + "\t\tEnergy: -109.16835526048811\n", + "\t\tSubspace dimension: 550564\n", "\tSubsample 2\n", - "\t\tEnergy: -109.18333728638888\n", - "\t\tSubspace dimension: 857476\n" + "\t\tEnergy: -109.15204504785393\n", + "\t\tSubspace dimension: 553536\n" ] } ], @@ -885,6 +883,178 @@ "plt.show()" ] }, + { + "cell_type": "markdown", + "id": "b36b03c7", + "metadata": {}, + "source": [ + "## Advanced: Passing an initial guess for the orbital occupancies\n", + "\n", + "If you have a reasonable initial guess for the average occupancies of the orbitals in the ground state, you can pass this information using the `initial_occupancies` argument to the `diagonalize_fermionic_hamiltonian` function. In addition to potentially improving convergence, providing this argument also allows configuration recovery to run even if no valid configurations (that is, configurations with the correct particle number and spin Z) were sampled, as may be the case when sampling a large circuit on a noisy QPU. Without this argument, the configuration recovery would fail and raise an error if no valid configurations were provided.\n", + "\n", + "The following code cell shows how to use the `diagonalize_fermionic_hamiltonian` function while passing the occupancies of the Hartree-Fock configuration as the initial guess." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "8d7985bc", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Iteration 1\n", + "\tSubsample 0\n", + "\t\tEnergy: -109.02666590051707\n", + "\t\tSubspace dimension: 299209\n", + "\tSubsample 1\n", + "\t\tEnergy: -109.06602315760001\n", + "\t\tSubspace dimension: 290521\n", + "\tSubsample 2\n", + "\t\tEnergy: -109.02042399711146\n", + "\t\tSubspace dimension: 285156\n", + "Iteration 2\n", + "\tSubsample 0\n", + "\t\tEnergy: -109.12268637392212\n", + "\t\tSubspace dimension: 448900\n", + "\tSubsample 1\n", + "\t\tEnergy: -109.12310834055303\n", + "\t\tSubspace dimension: 438244\n", + "\tSubsample 2\n", + "\t\tEnergy: -109.1544010957063\n", + "\t\tSubspace dimension: 413449\n", + "Iteration 3\n", + "\tSubsample 0\n", + "\t\tEnergy: -109.16729172443772\n", + "\t\tSubspace dimension: 579121\n", + "\tSubsample 1\n", + "\t\tEnergy: -109.16799551089167\n", + "\t\tSubspace dimension: 602176\n", + "\tSubsample 2\n", + "\t\tEnergy: -109.16532230487161\n", + "\t\tSubspace dimension: 620944\n", + "Iteration 4\n", + "\tSubsample 0\n", + "\t\tEnergy: -109.17189014394195\n", + "\t\tSubspace dimension: 786769\n", + "\tSubsample 1\n", + "\t\tEnergy: -109.17668311644402\n", + "\t\tSubspace dimension: 806404\n", + "\tSubsample 2\n", + "\t\tEnergy: -109.17196942795155\n", + "\t\tSubspace dimension: 777924\n", + "Iteration 5\n", + "\tSubsample 0\n", + "\t\tEnergy: -109.18085381061024\n", + "\t\tSubspace dimension: 1026169\n", + "\tSubsample 1\n", + "\t\tEnergy: -109.18099920237405\n", + "\t\tSubspace dimension: 1010025\n", + "\tSubsample 2\n", + "\t\tEnergy: -109.18081906659397\n", + "\t\tSubspace dimension: 1014049\n" + ] + }, + { + "data": { + "text/plain": [ + "\"Output" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# List to capture intermediate results\n", + "result_history = []\n", + "\n", + "\n", + "def callback(results: list[SCIResult]):\n", + " result_history.append(results)\n", + " iteration = len(result_history)\n", + " print(f\"Iteration {iteration}\")\n", + " for i, result in enumerate(results):\n", + " print(f\"\\tSubsample {i}\")\n", + " print(f\"\\t\\tEnergy: {result.energy + nuclear_repulsion_energy}\")\n", + " print(\n", + " f\"\\t\\tSubspace dimension: {np.prod(result.sci_state.amplitudes.shape)}\"\n", + " )\n", + "\n", + "\n", + "result = diagonalize_fermionic_hamiltonian(\n", + " hcore,\n", + " eri,\n", + " pub_result.data.meas,\n", + " samples_per_batch=samples_per_batch,\n", + " norb=num_orbitals,\n", + " nelec=nelec,\n", + " num_batches=num_batches,\n", + " energy_tol=energy_tol,\n", + " occupancies_tol=occupancies_tol,\n", + " max_iterations=max_iterations,\n", + " sci_solver=sci_solver,\n", + " symmetrize_spin=symmetrize_spin,\n", + " initial_occupancies=(\n", + " np.array([1] * num_elec_a + [0] * (num_orbitals - num_elec_a)),\n", + " np.array([1] * num_elec_b + [0] * (num_orbitals - num_elec_b)),\n", + " ),\n", + " carryover_threshold=carryover_threshold,\n", + " callback=callback,\n", + " seed=12345,\n", + ")\n", + "\n", + "# Data for energies plot\n", + "x1 = range(len(result_history))\n", + "min_e = [\n", + " min(result, key=lambda res: res.energy).energy + nuclear_repulsion_energy\n", + " for result in result_history\n", + "]\n", + "e_diff = [abs(e - exact_energy) for e in min_e]\n", + "yt1 = [1.0, 1e-1, 1e-2, 1e-3, 1e-4]\n", + "\n", + "# Chemical accuracy (+/- 1 milli-Hartree)\n", + "chem_accuracy = 0.001\n", + "\n", + "# Data for avg spatial orbital occupancy\n", + "y2 = np.sum(result.orbital_occupancies, axis=0)\n", + "x2 = range(len(y2))\n", + "\n", + "fig, axs = plt.subplots(1, 2, figsize=(12, 6))\n", + "\n", + "# Plot energies\n", + "axs[0].plot(x1, e_diff, label=\"energy error\", marker=\"o\")\n", + "axs[0].set_xticks(x1)\n", + "axs[0].set_xticklabels(x1)\n", + "axs[0].set_yticks(yt1)\n", + "axs[0].set_yticklabels(yt1)\n", + "axs[0].set_yscale(\"log\")\n", + "axs[0].set_ylim(1e-4)\n", + "axs[0].axhline(\n", + " y=chem_accuracy,\n", + " color=\"#BF5700\",\n", + " linestyle=\"--\",\n", + " label=\"chemical accuracy\",\n", + ")\n", + "axs[0].set_title(\"Approximated Ground State Energy Error vs SQD Iterations\")\n", + "axs[0].set_xlabel(\"Iteration Index\", fontdict={\"fontsize\": 12})\n", + "axs[0].set_ylabel(\"Energy Error (Ha)\", fontdict={\"fontsize\": 12})\n", + "axs[0].legend()\n", + "\n", + "# Plot orbital occupancy\n", + "axs[1].bar(x2, y2, width=0.8)\n", + "axs[1].set_xticks(x2)\n", + "axs[1].set_xticklabels(x2)\n", + "axs[1].set_title(\"Avg Occupancy per Spatial Orbital\")\n", + "axs[1].set_xlabel(\"Orbital Index\", fontdict={\"fontsize\": 12})\n", + "axs[1].set_ylabel(\"Avg Occupancy\", fontdict={\"fontsize\": 12})\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, { "cell_type": "markdown", "id": "4c3c04c1", diff --git a/public/docs/images/tutorials/sample-based-quantum-diagonalization/extracted-outputs/8d7985bc-1.avif b/public/docs/images/tutorials/sample-based-quantum-diagonalization/extracted-outputs/8d7985bc-1.avif new file mode 100644 index 0000000000000000000000000000000000000000..d564928921cf2544ce4c6ea32fc94ad173a9b34d GIT binary patch literal 53882 zcmZ_02RPSn8$SFkg{Y833Q;JVtn5$<4J$H38n(=279pV$Q5h*2C6o~|GAk7_Q+8!$ zl$F(c-aXIre~ryCd zQYnqELnC=_o#3MC+jLRrAC0){9Qcl>SS6on!eN1?Df-!Ilt zz#pisv^3Nyf5|_|rD@Ul%{u2pCtWEN2E3Bt)GBYU0}=QouiF75x6_txHgeV%Z169N zgqVc1u$Z{8_+EW+X*uzIa(l%E#l+;q#6-`nb@>0h!NKYD`7;;)?{6@dDs93WcK@Gm za69i{F->>i0Io9QA+A_mMGuiIq?D?MR 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Sung" Date: Wed, 14 Jan 2026 14:12:31 -0500 Subject: [PATCH 2/8] add to existing workflow instead of separate section --- ...sample-based-quantum-diagonalization.ipynb | 261 ++++-------------- .../extracted-outputs/8d7985bc-1.avif | Bin 53882 -> 0 bytes ...affd888-e89c-4aa9-8bae-4d1bb723b35e-0.avif | Bin 58083 -> 54399 bytes 3 files changed, 54 insertions(+), 207 deletions(-) delete mode 100644 public/docs/images/tutorials/sample-based-quantum-diagonalization/extracted-outputs/8d7985bc-1.avif diff --git a/docs/tutorials/sample-based-quantum-diagonalization.ipynb b/docs/tutorials/sample-based-quantum-diagonalization.ipynb index 537acc1d8ac..8d89a57fb06 100644 --- a/docs/tutorials/sample-based-quantum-diagonalization.ipynb +++ b/docs/tutorials/sample-based-quantum-diagonalization.ipynb @@ -247,7 +247,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "E(CCSD) = -109.2177884185544 E_corr = -0.2879500329450036\n" + "E(CCSD) = -109.2177884185544 E_corr = -0.287950032945004\n" ] } ], @@ -333,7 +333,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Using backend ibm_torino\n" + "Using backend ibm_fez\n" ] } ], @@ -604,8 +604,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "Gate counts (w/o pre-init passes): OrderedDict({'rz': 12378, 'sx': 12259, 'cz': 4006, 'x': 540, 'measure': 52, 'barrier': 1})\n", - "Gate counts (w/ pre-init passes): OrderedDict({'sx': 7096, 'rz': 6997, 'cz': 1896, 'measure': 52, 'x': 44, 'barrier': 1})\n" + "Gate counts (w/o pre-init passes): OrderedDict({'rz': 12404, 'sx': 12161, 'cz': 3986, 'x': 577, 'measure': 52, 'barrier': 1})\n", + "Gate counts (w/ pre-init passes): OrderedDict({'sx': 7057, 'rz': 6997, 'cz': 1876, 'measure': 52, 'x': 41, 'barrier': 1})\n" ] } ], @@ -678,7 +678,9 @@ "id": "eb704101-0fe8-4d12-b572-b1d844e35a90", "metadata": {}, "source": [ - "Now, we estimate the ground state energy of the Hamiltonian using the `diagonalize_fermionic_hamiltonian` function. This function performs the self-consistent configuration recovery procedure to iteratively refine the noisy quantum samples to improve the energy estimate. We pass a callback function so that we can save the intermediate results for later analysis. See the [API documentation](/docs/api/qiskit-addon-sqd/fermion#diagonalize_fermionic_hamiltonian) for explanations of the arguments to `diagonalize_fermionic_hamiltonian`." + "Now, we estimate the ground state energy of the Hamiltonian using the `diagonalize_fermionic_hamiltonian` function. This function performs the self-consistent configuration recovery procedure to iteratively refine the noisy quantum samples to improve the energy estimate. We pass a callback function so that we can save the intermediate results for later analysis. See the [API documentation](/docs/api/qiskit-addon-sqd/fermion#diagonalize_fermionic_hamiltonian) for explanations of the arguments to `diagonalize_fermionic_hamiltonian`.\n", + "\n", + "Here, we use the `initial_occupancies` argument to `diagonalize_fermionic_hamiltonian` to specify the Hartree-Fock configuration as the initial guess for the orbital occupancies in the ground state. This approach is sensible for systems where the ground state has significant support on the Hartree-Fock configuration, but it might not be appropriate in other situations, though more advanced computational methods might yield better initial guesses in those cases. Specifying `initial_occupancies` also allows configuration recovery to run even if no valid configurations (that is, configurations with the correct particle number and spin Z) were sampled, as may be the case when sampling a large circuit on a noisy QPU. Without this argument, the configuration recovery would fail and raise an error if no valid configurations were provided." ] }, { @@ -687,60 +689,70 @@ "id": "2f32a352", "metadata": {}, "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/kjs/projects/qiskit-addon-sqd/python/qiskit_addon_sqd/configuration_recovery.py:230: RuntimeWarning: invalid value encountered in divide\n", + " probs_left = probs_left / np.sum(probs_left)\n", + "/home/kjs/projects/qiskit-addon-sqd/python/qiskit_addon_sqd/configuration_recovery.py:231: RuntimeWarning: invalid value encountered in divide\n", + " probs_right = probs_right / np.sum(probs_right)\n" + ] + }, { "name": "stdout", "output_type": "stream", "text": [ "Iteration 1\n", "\tSubsample 0\n", - "\t\tEnergy: -103.34758728724537\n", - "\t\tSubspace dimension: 16\n", + "\t\tEnergy: -109.08070960777022\n", + "\t\tSubspace dimension: 256036\n", "\tSubsample 1\n", - "\t\tEnergy: -103.34758728724537\n", - "\t\tSubspace dimension: 16\n", + "\t\tEnergy: -109.01596440553843\n", + "\t\tSubspace dimension: 260100\n", "\tSubsample 2\n", - "\t\tEnergy: -103.34758728724537\n", - "\t\tSubspace dimension: 16\n", + "\t\tEnergy: -109.11103222322417\n", + "\t\tSubspace dimension: 281961\n", "Iteration 2\n", "\tSubsample 0\n", - "\t\tEnergy: -106.69621925150757\n", - "\t\tSubspace dimension: 300304\n", + "\t\tEnergy: -109.13643455476583\n", + "\t\tSubspace dimension: 401956\n", "\tSubsample 1\n", - "\t\tEnergy: -107.96222925033021\n", - "\t\tSubspace dimension: 294849\n", + "\t\tEnergy: -109.1507302227839\n", + "\t\tSubspace dimension: 404496\n", "\tSubsample 2\n", - "\t\tEnergy: -106.01945939078132\n", - "\t\tSubspace dimension: 303601\n", + "\t\tEnergy: -109.15759918883441\n", + "\t\tSubspace dimension: 405769\n", "Iteration 3\n", "\tSubsample 0\n", - "\t\tEnergy: -108.98177064089225\n", - "\t\tSubspace dimension: 291600\n", + "\t\tEnergy: -109.17686650927297\n", + "\t\tSubspace dimension: 564001\n", "\tSubsample 1\n", - "\t\tEnergy: -109.00639882523528\n", - "\t\tSubspace dimension: 303601\n", + "\t\tEnergy: -109.17873566451136\n", + "\t\tSubspace dimension: 555025\n", "\tSubsample 2\n", - "\t\tEnergy: -108.1281084709424\n", - "\t\tSubspace dimension: 309136\n", + "\t\tEnergy: -109.17438730613362\n", + "\t\tSubspace dimension: 580644\n", "Iteration 4\n", "\tSubsample 0\n", - "\t\tEnergy: -109.09095739567931\n", - "\t\tSubspace dimension: 384400\n", + "\t\tEnergy: -109.18170037647305\n", + "\t\tSubspace dimension: 741321\n", "\tSubsample 1\n", - "\t\tEnergy: -109.09470903152527\n", - "\t\tSubspace dimension: 401956\n", + "\t\tEnergy: -109.18610272455554\n", + "\t\tSubspace dimension: 767376\n", "\tSubsample 2\n", - "\t\tEnergy: -109.0684101215995\n", - "\t\tSubspace dimension: 393129\n", + "\t\tEnergy: -109.18258627834082\n", + "\t\tSubspace dimension: 769129\n", "Iteration 5\n", "\tSubsample 0\n", - "\t\tEnergy: -109.15391289350808\n", - "\t\tSubspace dimension: 532900\n", + "\t\tEnergy: -109.18927859025402\n", + "\t\tSubspace dimension: 942841\n", "\tSubsample 1\n", - "\t\tEnergy: -109.16835526048811\n", - "\t\tSubspace dimension: 550564\n", + "\t\tEnergy: -109.1887530444759\n", + "\t\tSubspace dimension: 980100\n", "\tSubsample 2\n", - "\t\tEnergy: -109.15204504785393\n", - "\t\tSubspace dimension: 553536\n" + "\t\tEnergy: -109.18830064933537\n", + "\t\tSubspace dimension: 937024\n" ] } ], @@ -765,6 +777,12 @@ "carryover_threshold = 1e-4\n", "max_cycle = 200\n", "\n", + "# Use the Hartree-Fock configuration as an initial guess for the orbital occupancies\n", + "initial_occupancies = (\n", + " np.array([1] * num_elec_a + [0] * (num_orbitals - num_elec_a)),\n", + " np.array([1] * num_elec_b + [0] * (num_orbitals - num_elec_b)),\n", + ")\n", + "\n", "# Pass options to the built-in eigensolver. If you just want to use the defaults,\n", "# you can omit this step, in which case you would not specify the sci_solver argument\n", "# in the call to diagonalize_fermionic_hamiltonian below.\n", @@ -799,6 +817,7 @@ " max_iterations=max_iterations,\n", " sci_solver=sci_solver,\n", " symmetrize_spin=symmetrize_spin,\n", + " initial_occupancies=initial_occupancies,\n", " carryover_threshold=carryover_threshold,\n", " callback=callback,\n", " seed=12345,\n", @@ -883,178 +902,6 @@ "plt.show()" ] }, - { - "cell_type": "markdown", - "id": "b36b03c7", - "metadata": {}, - "source": [ - "## Advanced: Passing an initial guess for the orbital occupancies\n", - "\n", - "If you have a reasonable initial guess for the average occupancies of the orbitals in the ground state, you can pass this information using the `initial_occupancies` argument to the `diagonalize_fermionic_hamiltonian` function. In addition to potentially improving convergence, providing this argument also allows configuration recovery to run even if no valid configurations (that is, configurations with the correct particle number and spin Z) were sampled, as may be the case when sampling a large circuit on a noisy QPU. Without this argument, the configuration recovery would fail and raise an error if no valid configurations were provided.\n", - "\n", - "The following code cell shows how to use the `diagonalize_fermionic_hamiltonian` function while passing the occupancies of the Hartree-Fock configuration as the initial guess." - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "8d7985bc", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Iteration 1\n", - "\tSubsample 0\n", - "\t\tEnergy: -109.02666590051707\n", - "\t\tSubspace dimension: 299209\n", - "\tSubsample 1\n", - "\t\tEnergy: -109.06602315760001\n", - "\t\tSubspace dimension: 290521\n", - "\tSubsample 2\n", - "\t\tEnergy: -109.02042399711146\n", - "\t\tSubspace dimension: 285156\n", - "Iteration 2\n", - "\tSubsample 0\n", - "\t\tEnergy: -109.12268637392212\n", - "\t\tSubspace dimension: 448900\n", - "\tSubsample 1\n", - "\t\tEnergy: -109.12310834055303\n", - "\t\tSubspace dimension: 438244\n", - "\tSubsample 2\n", - "\t\tEnergy: -109.1544010957063\n", - "\t\tSubspace dimension: 413449\n", - "Iteration 3\n", - "\tSubsample 0\n", - "\t\tEnergy: -109.16729172443772\n", - "\t\tSubspace dimension: 579121\n", - "\tSubsample 1\n", - "\t\tEnergy: -109.16799551089167\n", - "\t\tSubspace dimension: 602176\n", - "\tSubsample 2\n", - "\t\tEnergy: -109.16532230487161\n", - "\t\tSubspace dimension: 620944\n", - "Iteration 4\n", - "\tSubsample 0\n", - "\t\tEnergy: -109.17189014394195\n", - "\t\tSubspace dimension: 786769\n", - "\tSubsample 1\n", - "\t\tEnergy: -109.17668311644402\n", - "\t\tSubspace dimension: 806404\n", - "\tSubsample 2\n", - "\t\tEnergy: -109.17196942795155\n", - "\t\tSubspace dimension: 777924\n", - "Iteration 5\n", - "\tSubsample 0\n", - "\t\tEnergy: -109.18085381061024\n", - "\t\tSubspace dimension: 1026169\n", - "\tSubsample 1\n", - "\t\tEnergy: -109.18099920237405\n", - "\t\tSubspace dimension: 1010025\n", - "\tSubsample 2\n", - "\t\tEnergy: -109.18081906659397\n", - "\t\tSubspace dimension: 1014049\n" - ] - }, - { - "data": { - "text/plain": [ - "\"Output" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# List to capture intermediate results\n", - "result_history = []\n", - "\n", - "\n", - "def callback(results: list[SCIResult]):\n", - " result_history.append(results)\n", - " iteration = len(result_history)\n", - " print(f\"Iteration {iteration}\")\n", - " for i, result in enumerate(results):\n", - " print(f\"\\tSubsample {i}\")\n", - " print(f\"\\t\\tEnergy: {result.energy + nuclear_repulsion_energy}\")\n", - " print(\n", - " f\"\\t\\tSubspace dimension: {np.prod(result.sci_state.amplitudes.shape)}\"\n", - " )\n", - "\n", - "\n", - "result = diagonalize_fermionic_hamiltonian(\n", - " hcore,\n", - " eri,\n", - " pub_result.data.meas,\n", - " samples_per_batch=samples_per_batch,\n", - " norb=num_orbitals,\n", - " nelec=nelec,\n", - " num_batches=num_batches,\n", - " energy_tol=energy_tol,\n", - " occupancies_tol=occupancies_tol,\n", - " max_iterations=max_iterations,\n", - " sci_solver=sci_solver,\n", - " symmetrize_spin=symmetrize_spin,\n", - " initial_occupancies=(\n", - " np.array([1] * num_elec_a + [0] * (num_orbitals - num_elec_a)),\n", - " np.array([1] * num_elec_b + [0] * (num_orbitals - num_elec_b)),\n", - " ),\n", - " carryover_threshold=carryover_threshold,\n", - " callback=callback,\n", - " seed=12345,\n", - ")\n", - "\n", - "# Data for energies plot\n", - "x1 = range(len(result_history))\n", - "min_e = [\n", - " min(result, key=lambda res: res.energy).energy + nuclear_repulsion_energy\n", - " for result in result_history\n", - "]\n", - "e_diff = [abs(e - exact_energy) for e in min_e]\n", - "yt1 = [1.0, 1e-1, 1e-2, 1e-3, 1e-4]\n", - "\n", - "# Chemical accuracy (+/- 1 milli-Hartree)\n", - "chem_accuracy = 0.001\n", - "\n", - "# Data for avg spatial orbital occupancy\n", - "y2 = np.sum(result.orbital_occupancies, axis=0)\n", - "x2 = range(len(y2))\n", - "\n", - "fig, axs = plt.subplots(1, 2, figsize=(12, 6))\n", - "\n", - "# Plot energies\n", - "axs[0].plot(x1, e_diff, label=\"energy error\", marker=\"o\")\n", - "axs[0].set_xticks(x1)\n", - "axs[0].set_xticklabels(x1)\n", - "axs[0].set_yticks(yt1)\n", - "axs[0].set_yticklabels(yt1)\n", - "axs[0].set_yscale(\"log\")\n", - "axs[0].set_ylim(1e-4)\n", - "axs[0].axhline(\n", - " y=chem_accuracy,\n", - " color=\"#BF5700\",\n", - " linestyle=\"--\",\n", - " label=\"chemical accuracy\",\n", - ")\n", - "axs[0].set_title(\"Approximated Ground State Energy Error vs SQD Iterations\")\n", - "axs[0].set_xlabel(\"Iteration Index\", fontdict={\"fontsize\": 12})\n", - "axs[0].set_ylabel(\"Energy Error (Ha)\", fontdict={\"fontsize\": 12})\n", - "axs[0].legend()\n", - "\n", - "# Plot orbital occupancy\n", - "axs[1].bar(x2, y2, width=0.8)\n", - "axs[1].set_xticks(x2)\n", - "axs[1].set_xticklabels(x2)\n", - "axs[1].set_title(\"Avg Occupancy per Spatial Orbital\")\n", - 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Sung" Date: Wed, 14 Jan 2026 16:03:17 -0500 Subject: [PATCH 3/8] add cell to count valid bitstrings --- ...sample-based-quantum-diagonalization.ipynb | 152 +++++++++++++----- ...affd888-e89c-4aa9-8bae-4d1bb723b35e-0.avif | Bin 54399 -> 55213 bytes 2 files changed, 115 insertions(+), 37 deletions(-) diff --git a/docs/tutorials/sample-based-quantum-diagonalization.ipynb b/docs/tutorials/sample-based-quantum-diagonalization.ipynb index 8d89a57fb06..d01dbd3d8c3 100644 --- a/docs/tutorials/sample-based-quantum-diagonalization.ipynb +++ b/docs/tutorials/sample-based-quantum-diagonalization.ipynb @@ -161,6 +161,8 @@ "metadata": {}, "outputs": [], "source": [ + "import math\n", + "\n", "import ffsim\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", @@ -247,7 +249,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "E(CCSD) = -109.2177884185544 E_corr = -0.287950032945004\n" + "E(CCSD) = -109.2177884185544 E_corr = -0.2879500329450035\n" ] } ], @@ -604,8 +606,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "Gate counts (w/o pre-init passes): OrderedDict({'rz': 12404, 'sx': 12161, 'cz': 3986, 'x': 577, 'measure': 52, 'barrier': 1})\n", - "Gate counts (w/ pre-init passes): OrderedDict({'sx': 7057, 'rz': 6997, 'cz': 1876, 'measure': 52, 'x': 41, 'barrier': 1})\n" + "Gate counts (w/o pre-init passes): OrderedDict({'rz': 12402, 'sx': 12161, 'cz': 3986, 'x': 575, 'measure': 52, 'barrier': 1})\n", + "Gate counts (w/ pre-init passes): OrderedDict({'sx': 7058, 'rz': 6984, 'cz': 1876, 'measure': 52, 'x': 31, 'barrier': 1})\n" ] } ], @@ -673,6 +675,82 @@ "## Step 4: Post-process and return result in desired classical format" ] }, + { + "cell_type": "markdown", + "id": "a8736983", + "metadata": {}, + "source": [ + "A useful metric to judge the quality of the QPU output is the number of valid configurations returned. A valid configuration has the correct particle number and spin Z, which means that the right half of the bitstring has Hamming weight equal to the number of spin-up electrons, and the left half has Hamming weight equal to the number of spin-down electrons. The following cell computes the fraction of sampled configurations that are valid." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "718f8517", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Fraction of sampled configurations that are valid: 0.00084\n" + ] + } + ], + "source": [ + "def is_valid_bitstring(\n", + " bitstring: str, norb: int, nelec: tuple[int, int]\n", + ") -> bool:\n", + " n_alpha, n_beta = nelec\n", + " return (\n", + " len(bitstring) == 2 * norb\n", + " and bitstring[norb:].count(\"1\") == n_alpha\n", + " and bitstring[:norb].count(\"1\") == n_beta\n", + " )\n", + "\n", + "\n", + "bit_array = pub_result.data.meas\n", + "num_valid = sum(\n", + " is_valid_bitstring(b, num_orbitals, nelec)\n", + " for b in bit_array.get_bitstrings()\n", + ")\n", + "valid_fraction = num_valid / bit_array.num_shots\n", + "print(f\"Fraction of sampled configurations that are valid: {valid_fraction}\")" + ] + }, + { + "cell_type": "markdown", + "id": "7b126f3a", + "metadata": {}, + "source": [ + "While this fraction might seem fairly small, it is significantly higher than the fraction of bitstrings you would expect to be valid if the bitstrings were sampled uniformly at random, as shown by the following cell." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "6b3e4bca", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Expected fraction of valid configurations from uniformly random bitstrings: 9.607888706852918e-07\n" + ] + } + ], + "source": [ + "expected_fraction_random = (\n", + " math.comb(num_orbitals, num_elec_a)\n", + " * math.comb(num_orbitals, num_elec_b)\n", + " / 2 ** (2 * num_orbitals)\n", + ")\n", + "print(\n", + " f\"Expected fraction of valid configurations from uniformly random bitstrings: {expected_fraction_random}\"\n", + ")" + ] + }, { "cell_type": "markdown", "id": "eb704101-0fe8-4d12-b572-b1d844e35a90", @@ -680,12 +758,12 @@ "source": [ "Now, we estimate the ground state energy of the Hamiltonian using the `diagonalize_fermionic_hamiltonian` function. This function performs the self-consistent configuration recovery procedure to iteratively refine the noisy quantum samples to improve the energy estimate. We pass a callback function so that we can save the intermediate results for later analysis. See the [API documentation](/docs/api/qiskit-addon-sqd/fermion#diagonalize_fermionic_hamiltonian) for explanations of the arguments to `diagonalize_fermionic_hamiltonian`.\n", "\n", - "Here, we use the `initial_occupancies` argument to `diagonalize_fermionic_hamiltonian` to specify the Hartree-Fock configuration as the initial guess for the orbital occupancies in the ground state. This approach is sensible for systems where the ground state has significant support on the Hartree-Fock configuration, but it might not be appropriate in other situations, though more advanced computational methods might yield better initial guesses in those cases. Specifying `initial_occupancies` also allows configuration recovery to run even if no valid configurations (that is, configurations with the correct particle number and spin Z) were sampled, as may be the case when sampling a large circuit on a noisy QPU. Without this argument, the configuration recovery would fail and raise an error if no valid configurations were provided." + "Here, we use the `initial_occupancies` argument to `diagonalize_fermionic_hamiltonian` to specify the Hartree-Fock configuration as the initial guess for the orbital occupancies in the ground state. This approach is sensible for systems where the ground state has significant support on the Hartree-Fock configuration, but it might not be appropriate in other situations, though more advanced computational methods might yield better initial guesses in those cases. Specifying `initial_occupancies` also allows configuration recovery to run even if no valid configurations were sampled, as may be the case when sampling a large circuit on a noisy QPU. Without this argument, the configuration recovery would fail and raise an error if no valid configurations were provided." ] }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 12, "id": "2f32a352", "metadata": {}, "outputs": [ @@ -705,54 +783,54 @@ "text": [ "Iteration 1\n", "\tSubsample 0\n", - "\t\tEnergy: -109.08070960777022\n", - "\t\tSubspace dimension: 256036\n", + "\t\tEnergy: -109.01674166422441\n", + "\t\tSubspace dimension: 287296\n", "\tSubsample 1\n", - "\t\tEnergy: -109.01596440553843\n", - "\t\tSubspace dimension: 260100\n", + "\t\tEnergy: -109.06669228858345\n", + "\t\tSubspace dimension: 276676\n", "\tSubsample 2\n", - "\t\tEnergy: -109.11103222322417\n", - "\t\tSubspace dimension: 281961\n", + "\t\tEnergy: -109.03059777569119\n", + "\t\tSubspace dimension: 289444\n", "Iteration 2\n", "\tSubsample 0\n", - "\t\tEnergy: -109.13643455476583\n", - "\t\tSubspace dimension: 401956\n", + "\t\tEnergy: -109.12942433580616\n", + "\t\tSubspace dimension: 440896\n", "\tSubsample 1\n", - "\t\tEnergy: -109.1507302227839\n", - "\t\tSubspace dimension: 404496\n", + "\t\tEnergy: -109.10988600211269\n", + "\t\tSubspace dimension: 414736\n", "\tSubsample 2\n", - "\t\tEnergy: -109.15759918883441\n", - "\t\tSubspace dimension: 405769\n", + "\t\tEnergy: -109.1130278120884\n", + "\t\tSubspace dimension: 416025\n", "Iteration 3\n", "\tSubsample 0\n", - "\t\tEnergy: -109.17686650927297\n", - "\t\tSubspace dimension: 564001\n", + "\t\tEnergy: -109.16928398842528\n", + "\t\tSubspace dimension: 620944\n", "\tSubsample 1\n", - "\t\tEnergy: -109.17873566451136\n", - "\t\tSubspace dimension: 555025\n", + "\t\tEnergy: -109.16740773499221\n", + "\t\tSubspace dimension: 622521\n", "\tSubsample 2\n", - "\t\tEnergy: -109.17438730613362\n", - "\t\tSubspace dimension: 580644\n", + "\t\tEnergy: -109.1686937359052\n", + "\t\tSubspace dimension: 591361\n", "Iteration 4\n", "\tSubsample 0\n", - "\t\tEnergy: -109.18170037647305\n", - "\t\tSubspace dimension: 741321\n", + "\t\tEnergy: -109.17939957974411\n", + "\t\tSubspace dimension: 842724\n", "\tSubsample 1\n", - "\t\tEnergy: -109.18610272455554\n", - "\t\tSubspace dimension: 767376\n", + "\t\tEnergy: -109.17940683058453\n", + "\t\tSubspace dimension: 810000\n", "\tSubsample 2\n", - "\t\tEnergy: -109.18258627834082\n", - "\t\tSubspace dimension: 769129\n", + "\t\tEnergy: -109.18070791173716\n", + "\t\tSubspace dimension: 828100\n", "Iteration 5\n", "\tSubsample 0\n", - "\t\tEnergy: -109.18927859025402\n", - "\t\tSubspace dimension: 942841\n", + "\t\tEnergy: -109.1890010719105\n", + "\t\tSubspace dimension: 1010025\n", "\tSubsample 1\n", - "\t\tEnergy: -109.1887530444759\n", - "\t\tSubspace dimension: 980100\n", + "\t\tEnergy: -109.18615624647994\n", + "\t\tSubspace dimension: 1006009\n", "\tSubsample 2\n", - "\t\tEnergy: -109.18830064933537\n", - "\t\tSubspace dimension: 937024\n" + "\t\tEnergy: -109.18723603280839\n", + "\t\tSubspace dimension: 1040400\n" ] } ], @@ -807,7 +885,7 @@ 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7db26e0b7be378957885fbcba92e1982f0689ecd Mon Sep 17 00:00:00 2001 From: "Kevin J. Sung" Date: Wed, 14 Jan 2026 17:48:37 -0500 Subject: [PATCH 4/8] edit variable names --- ...sample-based-quantum-diagonalization.ipynb | 117 ++++++++---------- ...affd888-e89c-4aa9-8bae-4d1bb723b35e-0.avif | Bin 55213 -> 54193 bytes 2 files changed, 52 insertions(+), 65 deletions(-) diff --git a/docs/tutorials/sample-based-quantum-diagonalization.ipynb b/docs/tutorials/sample-based-quantum-diagonalization.ipynb index d01dbd3d8c3..cd0190d1e77 100644 --- a/docs/tutorials/sample-based-quantum-diagonalization.ipynb +++ b/docs/tutorials/sample-based-quantum-diagonalization.ipynb @@ -218,14 +218,14 @@ "\n", "# Get molecular integrals\n", "scf = pyscf.scf.RHF(mol).run()\n", - "num_orbitals = len(active_space)\n", + "norb = len(active_space)\n", "n_electrons = int(sum(scf.mo_occ[active_space]))\n", - "num_elec_a = (n_electrons + mol.spin) // 2\n", - "num_elec_b = (n_electrons - mol.spin) // 2\n", - "cas = pyscf.mcscf.CASCI(scf, num_orbitals, (num_elec_a, num_elec_b))\n", + "n_alpha = (n_electrons + mol.spin) // 2\n", + "n_beta = (n_electrons - mol.spin) // 2\n", + "cas = pyscf.mcscf.CASCI(scf, norb, (n_alpha, n_beta))\n", "mo = cas.sort_mo(active_space, base=0)\n", "hcore, nuclear_repulsion_energy = cas.get_h1cas(mo)\n", - "eri = pyscf.ao2mo.restore(1, cas.get_h2cas(mo), num_orbitals)\n", + "eri = pyscf.ao2mo.restore(1, cas.get_h2cas(mo), norb)\n", "\n", "# Store reference energy from SCI calculation performed separately\n", "exact_energy = -109.22690201485733" @@ -249,7 +249,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "E(CCSD) = -109.2177884185544 E_corr = -0.2879500329450035\n" + "E(CCSD) = -109.2177884185544 E_corr = -0.2879500329450043\n" ] } ], @@ -279,8 +279,8 @@ "outputs": [], "source": [ "n_reps = 1\n", - "alpha_alpha_indices = [(p, p + 1) for p in range(num_orbitals - 1)]\n", - "alpha_beta_indices = [(p, p) for p in range(0, num_orbitals, 4)]\n", + "alpha_alpha_indices = [(p, p + 1) for p in range(norb - 1)]\n", + "alpha_beta_indices = [(p, p) for p in range(0, norb, 4)]\n", "\n", "\n", "ucj_op = ffsim.UCJOpSpinBalanced.from_t_amplitudes(\n", @@ -295,14 +295,14 @@ " options=dict(maxiter=1000),\n", ")\n", "\n", - "nelec = (num_elec_a, num_elec_b)\n", + "nelec = (n_alpha, n_beta)\n", "\n", "# create an empty quantum circuit\n", - "qubits = QuantumRegister(2 * num_orbitals, name=\"q\")\n", + "qubits = QuantumRegister(2 * norb, name=\"q\")\n", "circuit = QuantumCircuit(qubits)\n", "\n", "# prepare Hartree-Fock state as the reference state and append it to the quantum circuit\n", - "circuit.append(ffsim.qiskit.PrepareHartreeFockJW(num_orbitals, nelec), qubits)\n", + "circuit.append(ffsim.qiskit.PrepareHartreeFockJW(norb, nelec), qubits)\n", "\n", "# apply the UCJ operator to the reference state\n", "circuit.append(ffsim.qiskit.UCJOpSpinBalancedJW(ucj_op), qubits)\n", @@ -335,7 +335,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Using backend ibm_fez\n" + "Using backend ibm_torino\n" ] } ], @@ -606,13 +606,13 @@ "name": "stdout", "output_type": "stream", "text": [ - "Gate counts (w/o pre-init passes): OrderedDict({'rz': 12402, 'sx': 12161, 'cz': 3986, 'x': 575, 'measure': 52, 'barrier': 1})\n", - "Gate counts (w/ pre-init passes): OrderedDict({'sx': 7058, 'rz': 6984, 'cz': 1876, 'measure': 52, 'x': 31, 'barrier': 1})\n" + "Gate counts (w/o pre-init passes): OrderedDict({'rz': 12353, 'sx': 12259, 'cz': 4006, 'x': 545, 'measure': 52, 'barrier': 1})\n", + "Gate counts (w/ pre-init passes): OrderedDict({'sx': 7097, 'rz': 6993, 'cz': 1896, 'measure': 52, 'x': 45, 'barrier': 1})\n" ] } ], "source": [ - "initial_layout, _ = get_zigzag_physical_layout(num_orbitals, backend=backend)\n", + "initial_layout, _ = get_zigzag_physical_layout(norb, backend=backend)\n", "\n", "pass_manager = generate_preset_pass_manager(\n", " optimization_level=3, backend=backend, initial_layout=initial_layout\n", @@ -693,7 +693,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Fraction of sampled configurations that are valid: 0.00084\n" + "Fraction of sampled configurations that are valid: 1e-05\n" ] } ], @@ -711,8 +711,7 @@ "\n", "bit_array = pub_result.data.meas\n", "num_valid = sum(\n", - " is_valid_bitstring(b, num_orbitals, nelec)\n", - " for b in bit_array.get_bitstrings()\n", + " is_valid_bitstring(b, norb, nelec) for b in bit_array.get_bitstrings()\n", ")\n", "valid_fraction = num_valid / bit_array.num_shots\n", "print(f\"Fraction of sampled configurations that are valid: {valid_fraction}\")" @@ -728,7 +727,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "id": "6b3e4bca", "metadata": {}, "outputs": [ @@ -742,9 +741,7 @@ ], "source": [ "expected_fraction_random = (\n", - " math.comb(num_orbitals, num_elec_a)\n", - " * math.comb(num_orbitals, num_elec_b)\n", - " / 2 ** (2 * num_orbitals)\n", + " math.comb(norb, n_alpha) * math.comb(norb, n_beta) / 2 ** (2 * norb)\n", ")\n", "print(\n", " f\"Expected fraction of valid configurations from uniformly random bitstrings: {expected_fraction_random}\"\n", @@ -767,70 +764,60 @@ "id": "2f32a352", "metadata": {}, "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/home/kjs/projects/qiskit-addon-sqd/python/qiskit_addon_sqd/configuration_recovery.py:230: RuntimeWarning: invalid value encountered in divide\n", - " probs_left = probs_left / np.sum(probs_left)\n", - "/home/kjs/projects/qiskit-addon-sqd/python/qiskit_addon_sqd/configuration_recovery.py:231: RuntimeWarning: invalid value encountered in divide\n", - " probs_right = probs_right / np.sum(probs_right)\n" - ] - }, { "name": "stdout", "output_type": "stream", "text": [ "Iteration 1\n", "\tSubsample 0\n", - "\t\tEnergy: -109.01674166422441\n", - "\t\tSubspace dimension: 287296\n", + "\t\tEnergy: -109.02201824916686\n", + "\t\tSubspace dimension: 281961\n", "\tSubsample 1\n", - "\t\tEnergy: -109.06669228858345\n", - "\t\tSubspace dimension: 276676\n", + "\t\tEnergy: -109.03880115895238\n", + "\t\tSubspace dimension: 281961\n", "\tSubsample 2\n", - "\t\tEnergy: -109.03059777569119\n", - "\t\tSubspace dimension: 289444\n", + "\t\tEnergy: -109.0884052296268\n", + "\t\tSubspace dimension: 280900\n", "Iteration 2\n", "\tSubsample 0\n", - "\t\tEnergy: -109.12942433580616\n", - "\t\tSubspace dimension: 440896\n", + "\t\tEnergy: -109.13716076239854\n", + "\t\tSubspace dimension: 431649\n", "\tSubsample 1\n", - "\t\tEnergy: -109.10988600211269\n", - "\t\tSubspace dimension: 414736\n", + "\t\tEnergy: -109.1473953933831\n", + "\t\tSubspace dimension: 450241\n", "\tSubsample 2\n", - "\t\tEnergy: -109.1130278120884\n", - "\t\tSubspace dimension: 416025\n", + "\t\tEnergy: -109.15015128618393\n", + "\t\tSubspace dimension: 414736\n", "Iteration 3\n", "\tSubsample 0\n", - "\t\tEnergy: -109.16928398842528\n", - "\t\tSubspace dimension: 620944\n", + "\t\tEnergy: -109.1660556734238\n", + "\t\tSubspace dimension: 624100\n", "\tSubsample 1\n", - "\t\tEnergy: -109.16740773499221\n", - "\t\tSubspace dimension: 622521\n", + "\t\tEnergy: -109.16923382160991\n", + "\t\tSubspace dimension: 605284\n", "\tSubsample 2\n", - "\t\tEnergy: -109.1686937359052\n", - "\t\tSubspace dimension: 591361\n", + "\t\tEnergy: -109.1630932786846\n", + "\t\tSubspace dimension: 617796\n", "Iteration 4\n", "\tSubsample 0\n", - "\t\tEnergy: -109.17939957974411\n", - "\t\tSubspace dimension: 842724\n", + "\t\tEnergy: -109.17376858899084\n", + "\t\tSubspace dimension: 835396\n", "\tSubsample 1\n", - "\t\tEnergy: -109.17940683058453\n", - "\t\tSubspace dimension: 810000\n", + "\t\tEnergy: -109.1759174052239\n", + "\t\tSubspace dimension: 835396\n", "\tSubsample 2\n", - "\t\tEnergy: -109.18070791173716\n", - "\t\tSubspace dimension: 828100\n", + "\t\tEnergy: -109.17493443190622\n", + "\t\tSubspace dimension: 802816\n", "Iteration 5\n", "\tSubsample 0\n", - "\t\tEnergy: -109.1890010719105\n", - "\t\tSubspace dimension: 1010025\n", + "\t\tEnergy: -109.1820064589374\n", + "\t\tSubspace dimension: 1052676\n", "\tSubsample 1\n", - "\t\tEnergy: -109.18615624647994\n", - "\t\tSubspace dimension: 1006009\n", + "\t\tEnergy: -109.18072770779375\n", + "\t\tSubspace dimension: 1020100\n", "\tSubsample 2\n", - "\t\tEnergy: -109.18723603280839\n", - "\t\tSubspace dimension: 1040400\n" + "\t\tEnergy: -109.18174281747068\n", + "\t\tSubspace dimension: 1000000\n" ] } ], @@ -857,8 +844,8 @@ "\n", "# Use the Hartree-Fock configuration as an initial guess for the orbital occupancies\n", "initial_occupancies = (\n", - " np.array([1] * num_elec_a + [0] * (num_orbitals - num_elec_a)),\n", - " np.array([1] * num_elec_b + [0] * (num_orbitals - num_elec_b)),\n", + " np.array([1] * n_alpha + [0] * (norb - n_alpha)),\n", + " np.array([1] * n_beta + [0] * (norb - n_beta)),\n", ")\n", "\n", "# Pass options to the built-in eigensolver. If you just want to use the defaults,\n", @@ -887,7 +874,7 @@ " eri,\n", " bit_array,\n", " samples_per_batch=samples_per_batch,\n", - " norb=num_orbitals,\n", + " norb=norb,\n", " nelec=nelec,\n", " num_batches=num_batches,\n", " energy_tol=energy_tol,\n", diff --git a/public/docs/images/tutorials/sample-based-quantum-diagonalization/extracted-outputs/caffd888-e89c-4aa9-8bae-4d1bb723b35e-0.avif b/public/docs/images/tutorials/sample-based-quantum-diagonalization/extracted-outputs/caffd888-e89c-4aa9-8bae-4d1bb723b35e-0.avif index 6b073e01fede3069d35438993d953ece60ba9506..f2e0d3896211153f05d6d676d58da6a42e54b196 100644 GIT binary patch literal 54193 zcmZ_02UyQ<`#%28Dyu;$G!)ues5D6_4YWf$QIbki8__PK6j7A4q&?8mB$T2}Q`#ER zR=@N1eV*^}|NoBT*K<6d&-2uKyk7Tx-Pd(q=XqYQz*8rbH*eUnfkL5dKCYsuMWL)o zq)=9!pjn6Cod1<8f`9F@P|?z$P~5pG6kk6IWdXnP9i&j4@wZ`93PmcKLSeRl^jcE} ze^_U(rmRR=A^&+&oOBPrS#Pg$+L1z`!z<}bsodR^Lh;MJPD%z&=ggcer7W&k;$IXo z5i#+7BBJ|559o-ANga@s5)~H^5s?xRaWz(N|Np(g*6y73`K$l$H>_JdeI9S%{oikJ 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Sung" Date: Wed, 14 Jan 2026 18:22:39 -0500 Subject: [PATCH 5/8] re-run with boston --- ...sample-based-quantum-diagonalization.ipynb | 82 ++++++++++-------- ...affd888-e89c-4aa9-8bae-4d1bb723b35e-0.avif | Bin 54193 -> 54002 bytes 2 files changed, 46 insertions(+), 36 deletions(-) diff --git a/docs/tutorials/sample-based-quantum-diagonalization.ipynb b/docs/tutorials/sample-based-quantum-diagonalization.ipynb index cd0190d1e77..f7d27167134 100644 --- a/docs/tutorials/sample-based-quantum-diagonalization.ipynb +++ b/docs/tutorials/sample-based-quantum-diagonalization.ipynb @@ -249,7 +249,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "E(CCSD) = -109.2177884185544 E_corr = -0.2879500329450043\n" + "E(CCSD) = -109.2177884185543 E_corr = -0.2879500329450042\n" ] } ], @@ -335,7 +335,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Using backend ibm_torino\n" + "Using backend ibm_boston\n" ] } ], @@ -606,8 +606,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "Gate counts (w/o pre-init passes): OrderedDict({'rz': 12353, 'sx': 12259, 'cz': 4006, 'x': 545, 'measure': 52, 'barrier': 1})\n", - "Gate counts (w/ pre-init passes): OrderedDict({'sx': 7097, 'rz': 6993, 'cz': 1896, 'measure': 52, 'x': 45, 'barrier': 1})\n" + "Gate counts (w/o pre-init passes): OrderedDict({'sx': 12605, 'rz': 12598, 'cz': 3986, 'x': 344, 'measure': 52, 'barrier': 1})\n", + "Gate counts (w/ pre-init passes): OrderedDict({'sx': 7061, 'rz': 6981, 'cz': 1876, 'measure': 52, 'x': 36, 'barrier': 1})\n" ] } ], @@ -693,7 +693,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Fraction of sampled configurations that are valid: 1e-05\n" + "Fraction of sampled configurations that are valid: 0.0028\n" ] } ], @@ -727,7 +727,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, "id": "6b3e4bca", "metadata": {}, "outputs": [ @@ -764,60 +764,70 @@ "id": "2f32a352", "metadata": {}, "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/kjs/projects/qiskit-addon-sqd/python/qiskit_addon_sqd/configuration_recovery.py:230: RuntimeWarning: invalid value encountered in divide\n", + " probs_left = probs_left / np.sum(probs_left)\n", + "/home/kjs/projects/qiskit-addon-sqd/python/qiskit_addon_sqd/configuration_recovery.py:231: RuntimeWarning: invalid value encountered in divide\n", + " probs_right = probs_right / np.sum(probs_right)\n" + ] + }, { "name": "stdout", "output_type": "stream", "text": [ "Iteration 1\n", "\tSubsample 0\n", - "\t\tEnergy: -109.02201824916686\n", - "\t\tSubspace dimension: 281961\n", + "\t\tEnergy: -109.06794428482091\n", + "\t\tSubspace dimension: 240100\n", "\tSubsample 1\n", - "\t\tEnergy: -109.03880115895238\n", - "\t\tSubspace dimension: 281961\n", + "\t\tEnergy: -109.09393607357171\n", + "\t\tSubspace dimension: 221841\n", "\tSubsample 2\n", - "\t\tEnergy: -109.0884052296268\n", - "\t\tSubspace dimension: 280900\n", + "\t\tEnergy: -109.0841692514061\n", + "\t\tSubspace dimension: 227529\n", "Iteration 2\n", "\tSubsample 0\n", - "\t\tEnergy: -109.13716076239854\n", - "\t\tSubspace dimension: 431649\n", + "\t\tEnergy: -109.15351004936744\n", + "\t\tSubspace dimension: 395641\n", "\tSubsample 1\n", - "\t\tEnergy: -109.1473953933831\n", - "\t\tSubspace dimension: 450241\n", + "\t\tEnergy: -109.14387354881588\n", + "\t\tSubspace dimension: 362404\n", "\tSubsample 2\n", - "\t\tEnergy: -109.15015128618393\n", - "\t\tSubspace dimension: 414736\n", + "\t\tEnergy: -109.11983542239716\n", + "\t\tSubspace dimension: 374544\n", "Iteration 3\n", "\tSubsample 0\n", - "\t\tEnergy: -109.1660556734238\n", - "\t\tSubspace dimension: 624100\n", + "\t\tEnergy: -109.17004818410167\n", + "\t\tSubspace dimension: 524176\n", "\tSubsample 1\n", - "\t\tEnergy: -109.16923382160991\n", - "\t\tSubspace dimension: 605284\n", + "\t\tEnergy: -109.16823884175008\n", + "\t\tSubspace dimension: 543169\n", "\tSubsample 2\n", - "\t\tEnergy: -109.1630932786846\n", - "\t\tSubspace dimension: 617796\n", + "\t\tEnergy: -109.16994936261386\n", + "\t\tSubspace dimension: 521284\n", "Iteration 4\n", "\tSubsample 0\n", - "\t\tEnergy: -109.17376858899084\n", - "\t\tSubspace dimension: 835396\n", + "\t\tEnergy: -109.17733503724797\n", + "\t\tSubspace dimension: 640000\n", "\tSubsample 1\n", - "\t\tEnergy: -109.1759174052239\n", - "\t\tSubspace dimension: 835396\n", + "\t\tEnergy: -109.17727984622991\n", + "\t\tSubspace dimension: 702244\n", "\tSubsample 2\n", - "\t\tEnergy: -109.17493443190622\n", - "\t\tSubspace dimension: 802816\n", + "\t\tEnergy: -109.18253563777421\n", + "\t\tSubspace dimension: 680625\n", "Iteration 5\n", "\tSubsample 0\n", - "\t\tEnergy: -109.1820064589374\n", - "\t\tSubspace dimension: 1052676\n", + "\t\tEnergy: -109.18584215093928\n", + "\t\tSubspace dimension: 817216\n", "\tSubsample 1\n", - "\t\tEnergy: -109.18072770779375\n", - "\t\tSubspace dimension: 1020100\n", + "\t\tEnergy: -109.18541398143945\n", + "\t\tSubspace dimension: 848241\n", "\tSubsample 2\n", - "\t\tEnergy: -109.18174281747068\n", - "\t\tSubspace dimension: 1000000\n" + "\t\tEnergy: -109.18606675157083\n", + "\t\tSubspace dimension: 850084\n" ] } ], diff --git a/public/docs/images/tutorials/sample-based-quantum-diagonalization/extracted-outputs/caffd888-e89c-4aa9-8bae-4d1bb723b35e-0.avif b/public/docs/images/tutorials/sample-based-quantum-diagonalization/extracted-outputs/caffd888-e89c-4aa9-8bae-4d1bb723b35e-0.avif index f2e0d3896211153f05d6d676d58da6a42e54b196..234ca369dda6d8676f1785ba3a36bd6d11b42703 100644 GIT binary patch literal 54002 zcmZ_02RPSn`#%1bhEaB@tfZ8^N)alfB4v-t2q7ywTMLm@A(SYRkkLS7WfqlWMn)uL zmz9kFdG~#u-+vunpW`{|(R84`ncFxSrQr5!75`R!6#U-Uh z#3e)|_UKAV$x2GfO70U97nc*nM#nhki>0)Xqs>+9TJv&CbJPdW(IMz)%((Eu}{IXkzjhUH! z(_DF9MPo-s7TpDr{L^Q$I+8M5Tg>v*xU$rYv)r4FN1mjd&SGVEzeazPS8~njj}wf? z)s9`htjO8Z@O$$7xcuA?`8oc5yBt5tAKf0nv~Bx;elirjix@5k|L4a;`R_aQB2)$b`;H73 zb+tw*zFWt{9Xj?HU!PLPs}60ywT++uNZZ39U3K;KJ6LG(VmB^2<`QMk@SWR}V^7_a 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Sung" Date: Thu, 15 Jan 2026 12:10:57 -0500 Subject: [PATCH 6/8] re-run with https://github.com/Qiskit/qiskit-addon-sqd/pull/276 --- ...sample-based-quantum-diagonalization.ipynb | 87 +++++++++---------- 1 file changed, 39 insertions(+), 48 deletions(-) diff --git a/docs/tutorials/sample-based-quantum-diagonalization.ipynb b/docs/tutorials/sample-based-quantum-diagonalization.ipynb index f7d27167134..b60531cdc66 100644 --- a/docs/tutorials/sample-based-quantum-diagonalization.ipynb +++ b/docs/tutorials/sample-based-quantum-diagonalization.ipynb @@ -249,7 +249,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "E(CCSD) = -109.2177884185543 E_corr = -0.2879500329450042\n" + "E(CCSD) = -109.2177884185544 E_corr = -0.2879500329450041\n" ] } ], @@ -335,7 +335,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Using backend ibm_boston\n" + "Using backend ibm_fez\n" ] } ], @@ -606,8 +606,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "Gate counts (w/o pre-init passes): OrderedDict({'sx': 12605, 'rz': 12598, 'cz': 3986, 'x': 344, 'measure': 52, 'barrier': 1})\n", - "Gate counts (w/ pre-init passes): OrderedDict({'sx': 7061, 'rz': 6981, 'cz': 1876, 'measure': 52, 'x': 36, 'barrier': 1})\n" + "Gate counts (w/o pre-init passes): OrderedDict({'rz': 12397, 'sx': 12161, 'cz': 3986, 'x': 579, 'measure': 52, 'barrier': 1})\n", + "Gate counts (w/ pre-init passes): OrderedDict({'sx': 7060, 'rz': 6996, 'cz': 1876, 'measure': 52, 'x': 34, 'barrier': 1})\n" ] } ], @@ -693,7 +693,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Fraction of sampled configurations that are valid: 0.0028\n" + "Fraction of sampled configurations that are valid: 0.00078\n" ] } ], @@ -764,70 +764,60 @@ "id": "2f32a352", "metadata": {}, "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/home/kjs/projects/qiskit-addon-sqd/python/qiskit_addon_sqd/configuration_recovery.py:230: RuntimeWarning: invalid value encountered in divide\n", - " probs_left = probs_left / np.sum(probs_left)\n", - "/home/kjs/projects/qiskit-addon-sqd/python/qiskit_addon_sqd/configuration_recovery.py:231: RuntimeWarning: invalid value encountered in divide\n", - " probs_right = probs_right / np.sum(probs_right)\n" - ] - }, { "name": "stdout", "output_type": "stream", "text": [ "Iteration 1\n", "\tSubsample 0\n", - "\t\tEnergy: -109.06794428482091\n", - "\t\tSubspace dimension: 240100\n", + "\t\tEnergy: -109.04281076429159\n", + "\t\tSubspace dimension: 278784\n", "\tSubsample 1\n", - "\t\tEnergy: -109.09393607357171\n", - "\t\tSubspace dimension: 221841\n", + "\t\tEnergy: -109.04943780820112\n", + "\t\tSubspace dimension: 262144\n", "\tSubsample 2\n", - "\t\tEnergy: -109.0841692514061\n", - "\t\tSubspace dimension: 227529\n", + "\t\tEnergy: -109.04221106979638\n", + "\t\tSubspace dimension: 275625\n", "Iteration 2\n", "\tSubsample 0\n", - "\t\tEnergy: -109.15351004936744\n", - "\t\tSubspace dimension: 395641\n", + "\t\tEnergy: -109.1034396218057\n", + "\t\tSubspace dimension: 446224\n", "\tSubsample 1\n", - "\t\tEnergy: -109.14387354881588\n", - "\t\tSubspace dimension: 362404\n", + "\t\tEnergy: -109.10731890219711\n", + "\t\tSubspace dimension: 442225\n", "\tSubsample 2\n", - "\t\tEnergy: -109.11983542239716\n", - "\t\tSubspace dimension: 374544\n", + "\t\tEnergy: -109.11500850968007\n", + "\t\tSubspace dimension: 461041\n", "Iteration 3\n", "\tSubsample 0\n", - "\t\tEnergy: -109.17004818410167\n", - "\t\tSubspace dimension: 524176\n", + "\t\tEnergy: -109.15244359744065\n", + "\t\tSubspace dimension: 632025\n", "\tSubsample 1\n", - "\t\tEnergy: -109.16823884175008\n", - "\t\tSubspace dimension: 543169\n", + "\t\tEnergy: -109.14894922580385\n", + "\t\tSubspace dimension: 624100\n", "\tSubsample 2\n", - "\t\tEnergy: -109.16994936261386\n", - "\t\tSubspace dimension: 521284\n", + "\t\tEnergy: -109.1371253698469\n", + "\t\tSubspace dimension: 640000\n", "Iteration 4\n", "\tSubsample 0\n", - "\t\tEnergy: -109.17733503724797\n", - "\t\tSubspace dimension: 640000\n", + "\t\tEnergy: -109.17612075034803\n", + "\t\tSubspace dimension: 846400\n", "\tSubsample 1\n", - "\t\tEnergy: -109.17727984622991\n", - "\t\tSubspace dimension: 702244\n", + "\t\tEnergy: -109.16621491238023\n", + "\t\tSubspace dimension: 829921\n", "\tSubsample 2\n", - "\t\tEnergy: -109.18253563777421\n", - "\t\tSubspace dimension: 680625\n", + "\t\tEnergy: -109.17929499028195\n", + "\t\tSubspace dimension: 850084\n", "Iteration 5\n", "\tSubsample 0\n", - "\t\tEnergy: -109.18584215093928\n", - "\t\tSubspace dimension: 817216\n", + "\t\tEnergy: -109.1848866798218\n", + "\t\tSubspace dimension: 1052676\n", "\tSubsample 1\n", - "\t\tEnergy: -109.18541398143945\n", - "\t\tSubspace dimension: 848241\n", + "\t\tEnergy: -109.18878437798148\n", + "\t\tSubspace dimension: 1058841\n", "\tSubsample 2\n", - "\t\tEnergy: -109.18606675157083\n", - "\t\tSubspace dimension: 850084\n" + "\t\tEnergy: -109.18330874368235\n", + "\t\tSubspace dimension: 1046529\n" ] } ], @@ -919,8 +909,9 @@ "outputs": [ { "data": { + "image/png": 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", "text/plain": [ - "\"Output" + "

" ] }, "metadata": {}, @@ -993,7 +984,7 @@ "metadata": { "description": "Use the sample-based quantum diagonalization algorithm to simulate a nitrogen molecule using noisy quantum hardware.", "kernelspec": { - "display_name": "Python 3", + "display_name": ".venv", "language": "python", "name": "python3" }, @@ -1007,7 +998,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3" + "version": "3.12.11" }, "title": "Sample-based quantum diagonalization of a chemistry Hamiltonian\n" }, From 69c594dc255f3d20b4781743ff7220a13ecda7f4 Mon Sep 17 00:00:00 2001 From: "Kevin J. Sung" Date: Thu, 15 Jan 2026 12:22:38 -0500 Subject: [PATCH 7/8] run ./fix --- ...sample-based-quantum-diagonalization.ipynb | 5 ++--- ...affd888-e89c-4aa9-8bae-4d1bb723b35e-0.avif | Bin 54002 -> 55590 bytes 2 files changed, 2 insertions(+), 3 deletions(-) diff --git a/docs/tutorials/sample-based-quantum-diagonalization.ipynb b/docs/tutorials/sample-based-quantum-diagonalization.ipynb index 63da3a80b6d..bed358e8a74 100644 --- a/docs/tutorials/sample-based-quantum-diagonalization.ipynb +++ b/docs/tutorials/sample-based-quantum-diagonalization.ipynb @@ -915,9 +915,8 @@ "outputs": [ { "data": { - "image/png": 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fCwBaiewzZ84IAOL7778vcf/bt28vfHx8dO57enq6upzq8+3r6ytefvllsWLFChESEqI+Ll5eXsLCwkJMmzZNrFq1Shw+fFjExMQIOzs7YWpqKj788EOxePFi0bhxY6Gnp6fxeVS9t319fYW/v79YvHixWLBggcjIyNAZ8/Dhw4W5ubnGFwkhhPjuu+8EAHH27FkhhBBr1qwRAES/fv3E6tWrxdKlS8WIESPEu+++W+IxmT9/vgCglRh+3I0bNwQAnV/CVFTn+K233lJPKy0ptWHDBgFALF++vMTtP56UOnDggPD39xfW1tbqz4gqmVRQUKD+QWPixIli9erVYvz48UJfX1+r0g9A1K9fX9jY2Ig5c+aIkJAQ9TXYyclJvP3222L58uVi8eLFIiAgQADQSDRu2LBByOVy0bZtW3Ucqi83ur7QqfajS5cuYtmyZWL8+PFCKpWKFi1aiNzcXHW59u3bC0dHR+Hs7CwmTJggVqxYITp16iQAiH379qnLVfS8E1HJSqvblvXanJ6eLjw8PIShoaGYNm2aWLJkiQgICFDf30pLSjk6Opb6g5ibm5twcnJSv75//75wdHRUXwNXrVolPvroI1G/fn11AjwtLU00bNhQSKVSMWrUKLFy5Uoxd+5c0aJFC/U1sLxJKUdHR2FrayvGjx8vvvrqK9GmTRutH3/LUv8V4r/7SZMmTYSXl5dYtGiR+PTTT4W1tbVwcnLSuF5evHhRmJmZCSsrKzF9+nSxevVqMXXqVNGoUSMhRFH9z9nZWbz66qtax65Hjx7C09OzxOOrOg6NGjUSbdu2FV999ZUIDg4Wenp6ol27dho/mH///fdCIpGIbt26iWXLlolFixYJNzc3YW5urnEchwwZIuRyufD09BRDhgwRq1atKrEO8+KLLwpTU1Ot+o8uAETDhg2FtbW1+Pjjj8WiRYuEq6urMDQ01Fh+y5YtonHjxmLmzJlizZo1YsaMGcLCwkK4urqq6yTh4eHi3XffFQDEjBkz1Pc51fe2x5NSZT2/qjhLS0q98cYbAoCIjIwstsyQIUMEAHHz5k0hRMn1rPKcy0f3rbS6+TvvvCN69Ogh5s+fL1avXi1GjBghpFKp6Nevn0asTEo9n3jGq0FoaKgAIH7//XchRNGF38nJSePLqBD/3VwMDQ3FvXv31NP/+usvAUC899576mmqi8s777yjnlZYWCh69uwpZDKZ+kuJap1mZmYiNjZWY3v+/v7C1tZWJCQkqKddvHhR6OnpicGDB6unRUdHC0tLS9G1a1eRk5MjmjRpIlxcXLRaAhSXlBo9erR6Wn5+vnBychISiUQsXLhQPT0pKUkYGhqqfz1XlX28IpOUlCTs7OzE8OHD1dPi4uKKvWh37txZNGrUSOOX/8LCQtGqVSuNX/QmTpwoAGgkLGJjY4VSqSw1KXXx4kUBQEycOFFrXkJCgsaX+kf3R9WKYdWqVRrLLFmyRAAQGzduVE/Lzc0VgYGBwsTERKSmpgohyp+U0vUrSpMmTUSzZs3Ur3fs2CEAiE8//VQ9LT8/X50UKy0pdeXKFWFoaKhORk6YMEHs2LFDZzKhQYMGGjdplezsbK0WKREREUIul2vEf/bsWZ0xFRYWCm9vbxEUFKRx48zMzBTu7u6ia9euJe5Dca3vVH+nTp1Sl1W1+Hr019nY2FitX4Dnzp0rjI2NxY0bNzS2NW3aNCGVStUJ35I+r6pfkFWJOSGEuHnzptDX19e4eScnJwuFQiE++OADjeXfffddYWxsrJFY0kVX6xrV36O/Mqs+3wMHDtRah+q47N+/X2O66nP2559/qqelpaUJd3d34ebmpj7vqve2h4eH1i9ouvz2228CgNi9e7fG9B49eggPDw/165dffrlMrcAeFxMTI2xsbAQA4ePjI8aOHSt++OEHkZycrFFO9flRtQorjpmZmWjatKn6dWlJKVVLxUfvAbo8npQSQoiePXtqtI5S2bBhg9DT09M4F0IIsWrVKgFAnDhxQj0NgNDT0xNXr17VWs/j5yc3N1c0bNhQdOrUSWO6sbGxxvVd5fEvdLGxsUImk4kXX3xR4zqwfPlyAUB8++236mmq9+qjX1JycnKEvb29xherip53IipeWeq2Zb02f/HFFwKA2LFjh3paVlaW8PHxKTUplZycLACU2IJGCCFeeuklAUBdhxo8eLDQ09NTJ8Yepao7zJw5s9jWQ6oy5U1KARBffPGFelpOTo66Pq5KIpW1/quqM1hZWWm0YNm5c6fWcW/Xrp0wNTUVUVFROvdDCCGmT58u5HK5xr0tNjZW6Ovrl5oYUR2HZs2aaSTDPv30UwFA/YRCWlqaMDc3F6NGjdJYPiYmRiiVSo3pqrrrtGnTSty2yoEDB4RUKhVSqVQEBgaKqVOnit9++00jHhVVvSY0NFQ9LSoqSigUCtG3b1/1NF11kFOnTmnde7Zs2VLse/XxpFRZz68qztKOvb+/v1AqlSWWWbx4sQAgdu3aJYQouZ5V1nOpa9+Kq5sLoftYLliwQEgkEo33JZNSzyeOvlcNNm3aBDs7O3Ts2BFA0fCe/fv3x08//YSCggKt8n369EGdOnXUrwMCAtCyZUvs27dPq+z48ePV/5dIJBg/fjxyc3Nx8OBBjXKvvvqqxjP20dHRuHDhAoYOHQpLS0v1dD8/P3Tt2lVjW/b29ggJCcHvv/+Otm3b4sKFC/j222/L3OnuyJEj1f+XSqVo3rw5hBAYMWKEerq5uTnq1aunMUKdVCpVP6tcWFiIxMRE5Ofno3nz5jh//nyp201MTMQff/yB119/HWlpaYiPj0d8fDwSEhIQFBSEmzdv4v79+wCAffv24YUXXkBAQIB6eRsbG7z55pulbic1NRUANDo6VvHw8ICNjY36b9euXRrz5XI5hg0bpjFt3759sLe3x8CBA9XTDAwM8O677yI9PR1Hjx4tNabijB07VuN127ZtNY75vn37oK+vj3HjxqmnSaXSMncO2aBBA1y4cAFvvfUWIiMjsXTpUvTp0wd2dnb4+uuvy7QOuVyu7jeooKAACQkJMDExQb169cp03i9cuICbN2/ijTfeQEJCgvq8Z2RkoHPnzjh27FiZRjMbPXo0fv/9d60/X19fjXK+vr5o27at+rWNjY3We3nLli1o27YtLCws1PHEx8ejS5cuKCgowLFjxzTW+fjntaCgAAcPHkSfPn3g6Oionu7l5YXu3btrLKtUKvHyyy/jxx9/hBBCvfzmzZvRp0+fYvtieJSbm5vOfdfVWfbj7ykVd3d3BAUFaUzbt28fAgIC0KZNG/U0ExMTjB49GpGRkQgLC9MoP2TIkDL1Q9WpUydYW1tr9LmUlJSE33//XaP/BHNzc9y7dw9nz54tdZ2PsrOzw8WLFzF27FgkJSVh1apVeOONN2Bra4u5c+eqj3NaWhoAaPUp9zhTU1N12bJQXVvKs0xptmzZgvr168PHx0fjPdmpUycAwOHDhzXKt2/fXuu9D0Dj/CQlJSElJQVt27Yt02dVl4MHDyI3NxcTJ07U6D9s1KhRMDMzw969ezXKm5iYaPTFJZPJEBAQoPH5q+h5J6LilaVuW9Zr8/79+1GnTh289NJL6mkKhQKjRo0qNY7yXHeBojpbYWEhduzYgd69e6N58+ZaZVXD0W/btg2NGzfW2UF6RYes19fXx5gxY9SvZTIZxowZg9jYWJw7dw5A+eu//fv3h4WFhfq1qk6iug7GxcXh2LFjGD58OFxcXIrdj8GDByMnJwdbt25VT9u8eTPy8/PL3M/k6NGjYWBgoH49btw46Ovrq79X/P7770hOTsbAgQM17j1SqRQtW7bUuveo1lEWXbt2xalTp/DSSy/h4sWL+PTTTxEUFIQ6depo1b8BIDAwEM2aNVO/dnFxwcsvv4zffvtN/R5+9B6Xl5eHhIQEeHl5wdzcvML3uSf9fvO4tLS0cr3/H1VSPau0c1lej24nIyMD8fHxaNWqFYQQ+Pvvvyu0Tqo9mJSqYgUFBfjpp5/QsWNHRERE4NatW7h16xZatmyJhw8f4tChQ1rLPD4qEwDUrVtXa5hRPT09rQ4b69atCwBaZd3d3TVeR0VFAQDq1aunta369eurv8SrDBgwAD179sSZM2cwatQodO7cufidfszjN0ClUgmFQgFra2ut6UlJSRrTvvvuO/j5+UGhUMDKygo2NjbYu3cvUlJSSt3urVu3IITARx99pJEYsrGxUXfEqer4MCoqSudx13V8Hqe60OsaFn7nzp34/fff8fnnn+tctk6dOlqdBKpiebxD5/r166vnV4RCodBIdACAhYWFxjGPioqCg4ODVoKtLMdBpW7dutiwYQPi4+Nx6dIlzJ8/H/r6+hg9erRWslSXwsJCfPnll/D29oZcLoe1tTVsbGxw6dKlMp33mzdvAii60T5+3r/55hvk5OSUaT3e3t7o0qWL1t/jydjH39+A9nG9efMm9u/frxVPly5dAGh3wPn45zU2NhZZWVk6RzXSNW3w4MG4c+cO/vzzTwBFX/QfPnyIQYMGlbrfAGBsbKxz3318fLTKPh5rSdOjoqKKveao5pdl3Y/T19fHq6++ip07dyInJwdA0UhMeXl5Gl98PvjgA5iYmCAgIADe3t4IDg7GiRMnyrQNBwcHrFy5EtHR0bh+/Tq++uor2NjYYObMmVi7di2A/64FpSWP0tLSYGtrW6btAv9dW0qrdJbHzZs3cfXqVa33pOoeUtp7UmXPnj144YUX1MNP29jYYOXKlWX6jOlS3L1JJpPBw8ND6z3i5OSk9eXw8c/fk5x3ItJW1rptWa/NUVFR8PT01Posl2Ukv/Jcd1Xl4+LikJqaioYNG5a4THh4eKllysvR0VHrxyFddffy1H8fr4eoElSq66AqOVXavvj4+KBFixbYtGmTetqmTZvwwgsvlHlUxcfr0iYmJnBwcFDvm6qO1qlTJ637z4EDB7TuPfr6+nBycirTtgGgRYsW2L59O5KSknDmzBlMnz4daWlp6Nevn9YPX8V938rMzERcXByAotFwZ86cCWdnZ406aXJycoXvc8CTfb95XFl+6CoueVtSPau0c1led+7cUTeGMDExgY2NDdq3bw8AT3QsqXbg6HtV7I8//kB0dDR++ukn/PTTT1rzN23ahBdffLHK43iSUa8AICEhAaGhoQCKhj0tLCws8yhYukZWKm60JVWLAwDYuHEjhg4dij59+mDKlCmwtbWFVCrFggULEB4eXup2Va1hJk+erNViQ6Uyhi728vKCvr4+rly5ojVPdbF9dJStRz3JeSnuVzpdre+A4o95VZFKpWjUqBEaNWqEwMBAdOzYEZs2bVInYoozf/58fPTRRxg+fDjmzp0LS0tL6OnpYeLEiWVq4aQq89lnnxU7HK2uVm0VVZb3cmFhIbp27YqpU6fqLKuqkKo86ec1KCgIdnZ22LhxI9q1a4eNGzfC3t6+1GNfEcXF+qT7UN51DBgwAKtXr8avv/6KPn364Oeff4aPjw8aN26sLlO/fn1cv34de/bswf79+7Ft2zasWLECM2fOxJw5c8q0HYlEgrp166Ju3bro2bMnvL29sWnTJowcOVLdkujSpUvFLh8VFYXU1NRyjQClurZU5lDrhYWFaNSoERYvXqxzvrOzs8ZrXefizz//xEsvvYR27dphxYoVcHBwgIGBAdatW4cffvih0mItSVk+f5Vx3onoP+Wp25bl2vwklEolHBwcSrzuAkXX5Tp16sDMzAxZWVmVsm2g/HWxsihv/bcs18GyGjx4MCZMmIB79+4hJycHp0+fxvLly8u9nuKo6mgbNmyAvb291vzH68uPtp4vD5lMhhYtWqBFixaoW7cuhg0bhi1btpR7dMh33nkH69atw8SJExEYGAilUgmJRIIBAwaUqU6qy5N+v3lc/fr1ceHCBdy5c0fnD6XAf/WSx1s8V0ZdrSwKCgrQtWtXJCYm4oMPPoCPjw+MjY1x//59DB06tMLHkmoPJqWq2KZNm2Bra4uQkBCtedu3b8cvv/yCVatWaVwUVL8iPOrGjRtwc3PTmFZYWIjbt29rfKG9ceMGAGiVfZyrqysA4Pr161rzrl27Bmtra41fcoKDg5GWloYFCxZg+vTpWLJkCSZNmlTiNp7U1q1b4eHhge3bt2vc9B+/oRRXIVB96TMwMCj1y7irq6vO467r+DzO2NgYHTp0wNGjR3H//n2NRy8rwtXVFZcuXdJK/F27dk09H/jvl7Dk5GSN5Svakkq17kOHDiE9PV0jcVOW41ASVfP46Oho9bTiztvWrVvRsWNHdesTleTkZI3WdcUt7+npCQAwMzOrkiRMRXh6eiI9Pb3C8dja2kKhUODWrVta83RNk0qleOONN7B+/XosWrQIO3bswKhRo6o9Mfk4V1fXYq85qvkV1a5dOzg4OGDz5s1o06YN/vjjD3z44Yda5YyNjdG/f3/0798fubm5eOWVVzBv3jxMnz4dCoWiXNv08PCAhYWF+n3t7e2NevXqYceOHVi6dKnOlk3ff/89AOC1114r83Y2bNgAiUSCrl27lis+oOTPycWLF9G5c+cKP4aybds2KBQK/Pbbb5DL5erp69atK3Mcj3v03vRo4i43NxcREREV/gxV5nknet6Vp25blmuzq6srwsLCIITQuFbour/p0qtXL3z99dc4fvy4xuPhKn/++SciIyPVj83Z2NjAzMxM54+Jj/L09Cy1THnrYg8ePEBGRoZGHfvxuntZ679lpbqWlrYvQFEScdKkSfjxxx+RlZUFAwMDjVZtpbl586b6kU6gqKVvdHQ0evToAeC/OpqtrW211dF01UFVsT7uxo0bMDIyUj9ZsHXrVgwZMgRffPGFukx2drbW+S7PfbSyz2+vXr3w448/4vvvv8f//vc/rfmpqanYuXMnfHx8yvXjVmnnUpfijsPly5dx48YNfPfddxg8eLB6+u+//17meKh24+N7VSgrKwvbt29Hr1690K9fP62/8ePHIy0tTes55x07dqj7OgKAM2fO4K+//tLqOwaAxq8XQggsX74cBgYGpT5e5+DgAH9/f3z33XcaF9YrV67gwIEDGhecrVu3YvPmzVi4cCGmTZuGAQMG4H//+5/6JlpVVF+gH/2l56+//sKpU6c0yhkZGQHQrhDY2tqiQ4cOWL16tdaNCIC6aS4A9OjRA6dPn8aZM2c05j/ahLkkM2fOREFBAd566y2dj/GV59eqHj16ICYmRqMPhvz8fCxbtgwmJibq1leurq6QSqVa/RGtWLGizNvSte38/HysXLlSPa2goADLli0r0/J//vkn8vLytKarnj9/9JEcY2NjrXMGFJ33x4/Xli1bND4TquUB7fPerFkzeHp64vPPP9d5Lh4979Xl9ddfx6lTp/Dbb79pzUtOTkZ+fn6Jy0ulUnTp0gU7duzAgwcP1NNv3bqFX3/9VecygwYNQlJSEsaMGYP09PQy9wdRlXr06IEzZ85ofIYzMjKwZs0auLm56eyzqKz09PTQr18/7N69Gxs2bEB+fr5WRTohIUHjtUwmg6+vL4QQOt+3Kn/99ZfG48wqZ86cQUJCgsb7etasWUhKSsLYsWO1fik/d+4cFi1ahCZNmui8nuuycOFCHDhwAP3799f5qEFpjI2NdTaLf/3113H//n2dfb1lZWXp3N/HSaVSSCQSjf2MjIzEjh07dMah6/P+uC5dukAmk+Grr77SuA6sXbsWKSkp6NmzZ6nreFxFzzsRaStv3bYs1+agoCDcv39foz6cnZ1d5r4op0yZAkNDQ4wZM0br856YmIixY8fCyMgIU6ZMUcfUp08f7N69W/0UwKNU155XX30VFy9exC+//FJsGVWS5dG6WEFBAdasWaMz1vz8fKxevVr9Ojc3F6tXr4aNjY26f6Oy1n/LysbGBu3atcO3336LO3fu6NwPFWtra3Tv3h0bN27Epk2b0K1bN63uNkqyZs0ajevqypUrkZ+fr77nBQUFwczMDPPnz9d5/X2SOtrhw4d11rd11UEB4NSpUxp9ON29exc7d+7Eiy++qD4Huuqky5Yt07q/F1cn1aWyz2+/fv3g6+uLhQsXar2fCwsLMW7cOCQlJZU76VXaudSluOOga5+FEFi6dGm5YqLaiy2lqtCuXbuQlpam0XHjo1544QXY2Nhg06ZNGjdoLy8vtGnTBuPGjUNOTg6WLFkCKysrrUd/FAoF9u/fjyFDhqBly5b49ddfsXfvXsyYMUOr7yBdPvvsM3Tv3h2BgYEYMWIEsrKysGzZMiiVSsyePRtAUb8i48aNQ8eOHdWdqi9fvhyHDx/G0KFDcfz48Qo1qy2LXr16Yfv27ejbty969uyJiIgIrFq1Cr6+vhrJBkNDQ/j6+mLz5s2oW7cuLC0t0bBhQzRs2BAhISFo06YNGjVqhFGjRsHDwwMPHz7EqVOncO/ePVy8eBEAMHXqVGzYsAHdunXDhAkTYGxsjDVr1qhbLZWmbdu2WL58Od555x14e3vjzTffhI+PD3Jzc3Hjxg1s2rQJMplMZ1Plx40ePRqrV6/G0KFDce7cObi5uWHr1q04ceIElixZom59oVQq8dprr2HZsmWQSCTw9PTEnj17tJ7HL4/evXujdevWmDZtGiIjI+Hr64vt27eX+VnvRYsW4dy5c3jllVfg5+cHADh//jy+//57WFpaanSU3axZM6xcuRKffPIJvLy8YGtri06dOqFXr174+OOPMWzYMLRq1QqXL1/Gpk2btB538vT0hLm5OVatWgVTU1MYGxujZcuWcHd3xzfffIPu3bujQYMGGDZsGOrUqYP79+/j8OHDMDMzw+7du0vdl/Pnz2Pjxo1a0z09PREYGFim46EyZcoU7Nq1C7169cLQoUPRrFkzZGRk4PLly9i6dSsiIyNLrfTNnj0bBw4cQOvWrTFu3DgUFBRg+fLlaNiwIS5cuKBVvkmTJmjYsKG6Q+umTZuWOd6UlBSd+w7giZJb06ZNw48//oju3bvj3XffhaWlJb777jtERERg27ZtT3wt6d+/P5YtW4ZZs2ahUaNG6r6qVF588UXY29ujdevWsLOzwz///IPly5ejZ8+eJfbXtGHDBmzatAl9+/ZFs2bNIJPJ8M8//+Dbb7+FQqHAjBkz1GUHDhyI0NBQLF68GGFhYXjzzTdhYWGB8+fP49tvv4WNjQ22bt2q9YhCfn6++phnZ2cjKioKu3btwqVLl9CxY8div+CUplmzZti8eTMmTZqEFi1awMTEBL1798agQYPw888/Y+zYsTh8+DBat26NgoICXLt2DT///DN+++03nR0AP6pnz55YvHgxunXrhjfeeAOxsbEICQmBl5eX1nWzWbNmOHjwIBYvXgxHR0e4u7ujZcuWWuu0sbHB9OnTMWfOHHTr1g0vvfQSrl+/jhUrVqBFixYVev9V9LwTkbaK1G1LuzaPGTMGy5cvx8CBAzFhwgQ4ODhg06ZN6laMpbVC8fb2xnfffYc333wTjRo1wogRI+Du7o7IyEisXbsW8fHx+PHHH9UJJKCoq4ADBw6gffv2GD16NOrXr4/o6Ghs2bIFx48fh7m5OaZMmYKtW7fitddew/Dhw9GsWTMkJiZi165dWLVqFRo3bowGDRrghRdewPTp05GYmAhLS0v89NNPxf7Y5OjoiEWLFiEyMhJ169bF5s2bceHCBaxZs0bdqXRZ67/l8dVXX6FNmzZo2rQpRo8erT4+e/fu1apDDB48GP369QMAzJ07t1zbyc3NRefOnfH666+rr91t2rRRv1/MzMywcuVKDBo0CE2bNsWAAQNgY2ODO3fuYO/evWjdunWFHxd85513kJmZib59+6rr4CdPnsTmzZvh5uamNbBQw4YNERQUhHfffRdyuVz9o+6jj3X36tULGzZsgFKphK+vL06dOoWDBw/CyspKY13+/v6QSqVYtGgRUlJSIJfL0alTJ539R1b2+ZXJZNi6dSs6d+6MNm3aYNiwYWjevDmSk5Pxww8/4Pz583j//fcxYMCAcq23tHOpS3F1cx8fH3h6emLy5Mm4f/8+zMzMsG3bNq2+hOk5Vl3D/D2PevfuLRQKhcjIyCi2zNChQ4WBgYGIj49XD+362WefiS+++EI4OzsLuVwu2rZtKy5evKixnGoI8fDwcPHiiy8KIyMjYWdnJ2bNmqUxjPaj69Tl4MGDonXr1sLQ0FCYmZmJ3r17i7CwMPX8V155RZiamorIyEiN5VTDzS5atEg9DY8NW6prePJHY39c+/btNYbtLiwsFPPnzxeurq5CLpeLJk2aiD179oghQ4ZoDXF+8uRJ0axZMyGTybTiCA8PF4MHDxb29vbCwMBA1KlTR/Tq1Uts3bpVYx2XLl0S7du3FwqFQtSpU0fMnTtXrF27VudQv8X5+++/xeDBg4WLi4uQyWTC2NhY+Pn5iffff1/cunWrxP191MOHD8WwYcOEtbW1kMlkolGjRjqHV42LixOvvvqqMDIyEhYWFmLMmDHiypUrWsOxFnfMdQ27mpCQIAYNGiTMzMyEUqkUgwYNUg9JryuGR504cUIEBweLhg0bCqVSKQwMDISLi4sYOnSoCA8P1ygbExMjevbsKUxNTQUA9ZCy2dnZ4v333xcODg7C0NBQtG7dWpw6dUpr2Fkhit6Hvr6+Ql9fXyu+v//+W7zyyivCyspKyOVy4erqKl5//XVx6NChEvdB9Zkp7u/RYe1dXV1Fz549tdahK9a0tDQxffp04eXlJWQymbC2thatWrUSn3/+uXrI3dI+r4cOHRJNmjQRMplMeHp6im+++Ua8//77QqFQ6CyvGr53/vz5Je7z47GXtP8qxX2+hSj+uAhR9Hns16+fMDc3FwqFQgQEBIg9e/ZolFENVbxly5Yyxy1E0TXD2dlZABCffPKJ1vzVq1eLdu3aqd8Tnp6eYsqUKSIlJaXE9V66dElMmTJFNG3aVFhaWgp9fX3h4OAgXnvtNXH+/Hmdy+zatUt06dJFmJubq49dgwYNdG5LNey16s/IyEi4ubmJV199VWzdulXjml4SXeckPT1dvPHGG+o4Hr125ubmikWLFokGDRoIuVwuLCwsRLNmzcScOXM04gQggoODdW5z7dq1wtvbW8jlcuHj4yPWrVun87py7do10a5dO2FoaKjxOSpuOPXly5cLHx8fYWBgIOzs7MS4ceNEUlKSRpnirqGP3yMqet6JSFt567ZClH5tFkKI27dvi549ewpDQ0NhY2Mj3n//fbFt2zYBQJw+fbpMsV26dEkMHDhQODg4CAMDA2Fvby8GDhwoLl++rLN8VFSUGDx4sLCxsRFyuVx4eHiI4OBgkZOToy6TkJAgxo8fL+rUqSNkMplwcnISQ4YMUe+bEEX3tS5dugi5XC7s7OzEjBkzxO+//y4AiMOHD6vLqa5ZoaGhIjAwUCgUCuHq6iqWL1+uEVdZ678l1RkerwsLIcSVK1dE37591fffevXqiY8++khr2ZycHGFhYSGUSqXIysoq6ZCrqa7lR48eFaNHjxYWFhbCxMREvPnmmyIhIUGr/OHDh0VQUJBQKpVCoVAIT09PMXToUBEaGqouU1zdtTi//vqrGD58uPDx8REmJiZCJpMJLy8v8c4774iHDx9qlFXd1zZu3Ki+hzVp0kTjfAkhRFJSkro+bmJiIoKCgsS1a9eEq6urRn1QCCG+/vpr4eHhIaRSqca5f7xOWJ7vN7rOY3FiY2PFpEmThJeXl5DL5cLc3Fx06dJF7Nq1S6tsSfWs8pzL8tTNw8LCRJcuXYSJiYmwtrYWo0aNEhcvXtSqv+uqQ1DtJxGiAr3gUZWIjIyEu7s7PvvsM0yePLnEskOHDsXWrVsr/IsJEdUOffr0wdWrV3X2jbB06VK89957iIyMLLbzS6oeI0eOxNq1a/H1119j5MiRNR0OEdFTb8mSJXjvvfdw7969J+6v82nQoUMHxMfHl6lvp5qUn58PR0dH9O7dW6t/z+KsX78ew4YNw9mzZ0ttZfs0kEgkCA4OrtRO3Imo4tinFBHRM+LxEYNu3ryJffv2oUOHDlplhRBYu3Yt2rdvz4TUU2D16tXo1asXxo0bp+7fgoiIijx+f8vOzsbq1avh7e1dKxJSz5IdO3YgLi5Oo0NqIqKqxD6liIieER4eHhg6dCg8PDwQFRWFlStXQiaTafQ3l5GRgV27duHw4cO4fPkydu7cWYMRk4pUKi1TX2ZERM+jV155BS4uLvD391f3a3jt2rUyDzhDT+6vv/7CpUuXMHfuXDRp0kQ9sA4RUVVjUoqI6BnRrVs3/Pjjj4iJiYFcLkdgYCDmz5+vMSpbXFwc3njjDZibm2PGjBkldkhJRET0NAgKCsI333yDTZs2oaCgAL6+vvjpp5+0RuqjqrNy5Ups3LgR/v7+WL9+fU2HQ0TPEfYpRURERERERERE1Y59ShERERERERERUbVjUoqIiIiIiIiIiKod+5Qqp8LCQjx48ACmpqaQSCQ1HQ4RERFVAyEE0tLS4OjoCD09/qZXHqw7ERERPX/KWndiUqqcHjx4AGdn55oOg4iIiGrA3bt34eTkVNNhPFNYdyIiInp+lVZ3YlKqnExNTQEUHVgzM7NKWefvYTFY+Os1PEzNUU+zM5NjWncfdPW1r5RtEBERUcWlpqbC2dlZXQ+gsquKuhMRERE93cpad2JSqpxUzc7NzMwqpWK1/0o0Ju+4CQEp9ORG6unxOcDkHTex0sQU3Ro6PPF2iIiI6Mnx8bPyq+y6ExERET07Sqs7sVOEGlRQKDBndxiEjnmqaXN2h6GgUFcJIiIiIiIiIqJnF5NSNehMRCKiU7KLnS8ARKdk40xEYvUFRURERERERERUDZiUqkGxacUnpB71V0QC8goKqzgaIiIiIiIiIqLqwz6lapCtqaJM5ZYcvIlv/oxAgLslWntZo7WXFerZcVhlInq6FBQUIC8vr6bDIKoQAwMDSKXSmg6DiIiI6LnCpFQNCnC3hINSgZiUbJ39SgGAwkAPcn09pGTl449rsfjjWiwAwNpEhkBPa7T2tEJrL2s4WxoVswYioqolhEBMTAySk5NrOhSiJ2Jubg57e3v+6ENERERUTZiUqkFSPQlm9fbFuI3nIQE0ElOq6vCS/v540dceYdGpOHErHifCE3A2IhHx6bnYffEBdl98AABwsTRCay8rtPK0RitPK1iZyKt7d4joOaVKSNna2sLIyIhf6OmZI4RAZmYmYmOLfvhxcOCot0RERETVQSKE4NBu5ZCamgqlUomUlJRKG9Z4/5VozNkdptHpuYNSgVm9fdGtoXbFOCe/ABfuJKuTVBfuJmuN0Odjb4rWXtZo42WNAHdLGMuZfySiyldQUIAbN27A1tYWVlZWNR0O0RNJSEhAbGws6tatq/UoX1Xc/58XPHZERETPn7Le/5mpeAp0a+iArr72OBORiNi0bNiaKhDgbgmpnu7WBnJ9KVp6WKGlhxUmAUjPyceZiAScuJWAE7ficS0mTf239ngE9PUk8Hc2Ryuvosf9mrhYQKbPPu6J6Mmp+pAyMuIjxPTsU72P8/Ly2L8UERERUTVgUuopIdWTINCzYq0MTOT66ORjh04+dgCA+PQcnAxPwMlb8TgRHo+7iVkIjUpCaFQSvjp0E4YG0n87TS963M/XwQx6xSTAiIjKgo/sUW3A9zERERFR9WJSqhayNpHjpcaOeKmxIwDgbmImTtyKx/Fb8TgVnoCEjFwcvRGHozfiAAAWRgYI9CxKULXxsoarFfuEISIiIiIiIqKqxaTUc8DZ0ggDAlwwIMAFhYUC1x+m4cSteJwMT8BftxOQlJmHfZdjsO9yDACgjrkhWv07ql8rLyvYmipqeA+IiIiIiIiIqLZhUuo5o6cnQX0HM9R3MMPIth7IKyjExbvJRf1Rhcfj7ztJuJ+chS3n7mHLuXsAAG9bE7T2skZrL2u09LCEmcKghveCiGqjgkJR5r71iIiIiIjo2cek1HPOQKqH5m6WaO5miQldvJGZm4+zkUk4+e/jfmHRqbgZm46bselYfzISehLAz8kcrb2KWlI1dbGAwoCdwRLRkynvKKTPsry8PBgYPB3J/dzcXMhkMq3pFY3xado3IiIiInr6cQg20mAk00f7ujaY3qM+9r7bFuf/1xUr3myKN1u6wN3aGIUCuHA3GSGHw/HG13+h8ZwDeOubv7DiyC1cvJuMgkJR07tARM+Y/VeiMW7jeY2EFADEpGRj3Mbz2H8lukq2W1hYiAULFsDd3R2GhoZo3Lgxtm7dqp5/5MgRSCQSHDp0CM2bN4eRkRFatWqF69eva6xn586daNq0KRQKBTw8PDBnzhzk5+er50skEqxcuRIvvfQSjI2NMW/ePADAJ598AltbW5iammLkyJGYNm0a/P39AQDHjh2DgYEBYmJiNLY1ceJEtG3btth9Sk5OxsiRI2FjYwMzMzN06tQJFy9eVM+fPXs2/P398c0338Dd3R0KhaLEGFeuXAlPT0/IZDLUq1cPGzZs0NheccsREREREZUFk1JUIgtjGXo0csC8vo1weHIHnJjWCZ/280Mff0fYmMqRk1+I47fi8en+63g55ASafHwAo78PxfenInErNh1CMElF9LwRQiAzN79Mf2nZeZi16yp0XSlU02bvCkNadl6Z1leea86CBQvw/fffY9WqVbh69Sree+89vPXWWzh69KhGuQ8//BBffPEFQkNDoa+vj+HDh6vn/fnnnxg8eDAmTJiAsLAwrF69GuvXr9dKzsyePRt9+/bF5cuXMXz4cGzatAnz5s3DokWLcO7cObi4uGDlypXq8u3atYOHh4dGEigvLw+bNm3S2P7jXnvtNcTGxuLXX3/FuXPn0LRpU3Tu3BmJiYnqMrdu3cK2bduwfft2XLhwodgYf/nlF0yYMAHvv/8+rly5gjFjxmDYsGE4fPhwiftGNWfBggVo0aIFTE1NYWtriz59+mglUXXZsmULfHx8oFAo0KhRI+zbt09jvhACM2fOhIODAwwNDdGlSxfcvHmzqnaDiIiIniMSwaxBuaSmpkKpVCIlJQVmZmY1HU6NEkLgVmw6TtyKx4nwBJwOT0BaTr5GGTszOVp7WqOVlzVae1nBQWlYQ9ESUVXIzs5GRESERqubzNx8+M78rUbiCfs4CEay0p9Mz8nJgaWlJQ4ePIjAwED19JEjRyIzMxM//PADjhw5go4dO+LgwYPo3LkzAGDfvn3o2bMnsrKyoFAo0KVLF3Tu3BnTp09Xr2Pjxo2YOnUqHjx4AKCoNdHEiRPx5Zdfqsu88MILaN68OZYvX66e1qZNG6Snp6sTRZ9++inWr1+PsLAwAMD27dsxZMgQxMTEwNjYWGufjh8/jp49eyI2NhZyuVw93cvLC1OnTsXo0aMxe/ZszJ8/H/fv34eNjY26jK4YW7dujQYNGmDNmjXqaa+//joyMjKwd+/eYpd7lul6P6s8C/f/bt26YcCAAWjRogXy8/MxY8YMXLlyBWFhYTrfMwBw8uRJtGvXDgsWLECvXr3www8/YNGiRTh//jwaNmwIAFi0aBEWLFiA7777Du7u7vjoo49w+fJlhIWFaR0nXZ6FY0dERESVq6z3f/YpRRUmkUjgbWcKbztTDG3tjvyCQly+n4KT4Qk4cSseoVFJeJiag+1/38f2v+8DADxsjNHasyhBFehhDaUR+x4houp369YtZGZmomvXrhrTc3Nz0aRJE41pfn5+6v87OBT1bxUbGwsXFxdcvHgRJ06c0GgZVVBQgOzsbGRmZsLIyAgA0Lx5c411Xr9+HW+//bbGtICAAPzxxx/q10OHDsX//vc/nD59Gi+88ALWr1+P119/vdjkwsWLF5Geng4rKyuN6VlZWQgPD1e/dnV11UhIqTwe4z///IPRo0drTGvdujWWLl1a4nJUc/bv36/xev369bC1tcW5c+fQrl07ncssXboU3bp1w5QpUwAAc+fOxe+//47ly5dj1apVEEJgyZIl+N///oeXX34ZAPD999/Dzs4OO3bswIABA6p2p4iIiKhWY1KKKo2+VA9NXCzQxMUCwR29kJ1XgHNRSUUtqW7F4/L9FNyOy8DtuAxsOB0FiQRo6KhEKy8rtPGyRnNXSxjK2Gk60bPO0ECKsI+DylT2TEQihq47W2q59cNaIMDdskzbLov09HQAwN69e1GnTh2NeY+2MgKg0XG3RFI0GmBhYaF6PXPmzMErr7yitY1HW5AUl0gqia2tLXr37o1169bB3d0dv/76K44cOVJs+fT0dDg4OOgsY25uXmosFYnxSZajqpeSkgIAsLQs/rNz6tQpTJo0SWNaUFAQduzYAQCIiIhATEwMunTpop6vVCrRsmVLnDp1SmdSKicnBzk5OerXqampT7IbREREVIsxKUVVRmEgRWsva7T2sgYApGTl4fTtBJz893G/W7HpuHw/BZfvp2D10duQSfXQ1NVc/bhfYycl9KXs9ozoWSORSMr0CB0AtPW2gYNSgZiUbJ39SkkA2CsVaOttA6mepNJi9PX1hVwux507d9C+ffsKr6dp06a4fv06vLy8yrVcvXr1cPbsWQwePFg97exZ7eTcyJEjMXDgQDg5OcHT0xOtW7cuMZaYmBjo6+vDzc2tXPHoUr9+fZw4cQJDhgxRTztx4gR8fX2feN1U9QoLCzFx4kS0bt1a/RieLjExMbCzs9OYZmdnp+5kX/VvSWUet2DBAsyZM+dJwiciIqLnBJNSVG2UhgYIamCPoAb2AIpG1joZHo8TtxJwMjwe0SnZOH07EadvJ+KL32/ARK6PFzws0cqzKLFV185E3UqBiGoHqZ4Es3r7YtzG85AAGokp1ad9Vm/fSk1IAYCpqSkmT56M9957D4WFhWjTpg1SUlJw4sQJmJmZaSRiSjJz5kz06tULLi4u6NevH/T09HDx4kVcuXIFn3zySbHLvfPOOxg1ahSaN2+OVq1aYfPmzbh06RI8PDw0ygUFBcHMzAyffPIJPv744xJj6dKlCwIDA9GnTx98+umnqFu3Lh48eIC9e/eib9++5X7MbsqUKXj99dfRpEkTdOnSBbt378b27dtx8ODBcq2HakZwcDCuXLmC48ePV/u2p0+frtH6KjU1Fc7OztUeBxERET39mJSiGmOvVOCVpk54pakThBCIiM/AifAEnLgZj1O3E5CSlYeD/8Ti4D+xAABrEzlaeRY96tfKywpOFkY1vAdEVBm6NXTAyreaYs7uMESnZKun2ysVmNXbF90aOlTJdufOnQsbGxssWLAAt2/fhrm5OZo2bYoZM2aUeR1BQUHYs2cPPv74YyxatAgGBgbw8fHByJEjS1zuzTffxO3btzF58mRkZ2fj9ddfx9ChQ3HmzBmNcnp6ehg6dCjmz5+v0apKF4lEgn379uHDDz/EsGHDEBcXB3t7e7Rr106rlUtZ9OnTB0uXLsXnn3+OCRMmwN3dHevWrUOHDh3KvS6qXuPHj8eePXtw7NgxODk5lVjW3t4eDx8+1Jj28OFD2Nvbq+erpqn6VFO99vf317lOuVyu9RgsERERkS4cfa+cOIJM9SgoFAh7kIoT4UX9UZ2NTER2XqFGGVcro39bUVmhlac1LI1lNRQt0fOrpNHKyqugUOBMRCJi07Jha6pAgLtlpbeQepp17doV9vb22LBhg8b0ESNGIC4uDrt27aqhyJ4fz/roe0IIvPPOO/jll19w5MgReHt7l7pM//79kZmZid27d6untWrVCn5+fuqOzh0dHTF58mS8//77AIqOha2tLdavX1+mjs6r+ti5Tdtb4WUjF/asxEiIiIhIhaPv0TNNqidBIyclGjkpMba9J3LyC3A+Kvnfx/3icfFeCqISMhGVcAc/nrkDAKjvYIY2XlZo5WWNADdLGMv59iZ6lkj1JAj0tCq9YC2QmZmJVatWISgoCFKpFD/++CMOHjyI33//XV0mJSUFly9fxg8//MCEFJVJcHAwfvjhB+zcuROmpqbqPp+USiUMDQ0BAIMHD0adOnWwYMECAMCECRPQvn17fPHFF+jZsyd++uknhIaGYs2aNQCKWuBNnDgRn3zyCby9veHu7o6PPvoIjo6O6NOnT43sJxEREdUe/NZOzwS5vhSBnlYI9LTC+y/WQ1p2Hs5EJOLErQScuBWP6w/T8E90Kv6JTsXXf0ZAX0+CJi7maOVpjTbe1mjsZA6ZPjtNJ6Kng+pRu3nz5iE7Oxv16tXDtm3bNEY4e/nll3HmzBmMHTsWXbt2rcFo6VmxcuVKANB6xHLdunUYOnQoAODOnTvQ0/vvftiqVSv88MMP+N///ocZM2bA29sbO3bs0OgcferUqcjIyMDo0aORnJyMNm3aYP/+/U/cOpKIiIiIj++V07PQfP95FJeWg5Ph8Th5KwEnwuNxLylLY76RTIoAd8t/R/azQn17M+g9R48FEVWVynx8j6imPeuP7z2t+PhezeLxISKimsDH9+i5YmMqx8v+dfCyfx0AwJ2ETBy/FY8T4fE4FZ6AxIxcHLkehyPX4wAAlsYyBHpYobVXUZ9ULpZGHNmPiIjoOcbkDRERUfVjUopqJRcrI7xh5YI3WrqgsFDgWkyauj+qvyISkZiRi72Xo7H3cjQAoI65IVp7FSWpWnlaw8aUowYRERERERERVSUmpajW09OTwNfRDL6OZhjZ1gO5+YW4eC8ZJ24VPe73990k3E/Ows+h9/Bz6D0AQD07U7TyskJrT2u09LCEqcKghveCiIiIiIiIqHZhUoqeOzJ9PbRws0QLN0tM7AJk5ubjTEQiToYn4PjNeIRFp+L6wzRcf5iGdSciIdWTwM9Jidae1mjtZY2mruaQ60tL3MbzPrQ9ERERERERUWmYlKLnnpFMHx3q2aJDPVsAQGJGLk6FF3WYfvJWPCITMvH3nWT8fScZyw/fgsKgKKnVyrOoP6oGjkqNhNP+K9GYszsM0SnZ6mkOSgVm9fZFt4YO1b5/RERERERERE8jJqWIHmNpLENPPwf09CtKIN1LylSP6nfiVgLi03Pw5814/HkzHgCgNDT4t9N0KxQIgTm7wvD4kJYxKdkYt/E8Vr7VlIkpIiKiWowdphMREZUdk1JEpXCyMMLrLYzwegtnCCFwMzYdJ27922n67USkZOVh/9UY7L8aU+w6BAAJgDm7w9DV156P8hE95SIjI+Hu7o6///4b/v7+1brt9evXY+LEiUhOTq6U9R05cgQdO3ZEUlISzM3NK2WdRFT1mNwiIqLnAZNSROUgkUhQ184Ude1MMay1O/ILCnHpfgpO3orHvssxCItOLXZZASA6JRt/3U5AKy/r6guaiJ4p/fv3R48ePWo6DCIiIiKiKsekFNET0JfqoamLBZq6WMDZ0ggTfrpQ6jIjvjuLFzys0NzNEs1dLdDY2RwKg5I7Tiei54ehoSEMDQ1rOowaVVBQAIlEAj09vZoOhYiIiIiq0HNZ2+vbty8sLCzQr1+/mg6FahFbU0WZymXlFeLw9Th89tt19F9zGo1m/4Y+IScwb28Y9l+JQXx6ThVHSkQAUFhYiE8//RReXl6Qy+VwcXHBvHnzNMrcvn0bHTt2hJGRERo3boxTp05pzD9+/Djatm0LQ0NDODs7491330VGRoZ6vpubGz755BMMHjwYJiYmcHV1xa5duxAXF4eXX34ZJiYm8PPzQ2hoqHqZ9evXaz1mt3v3brRo0QIKhQLW1tbo27evet6GDRvQvHlzmJqawt7eHm+88QZiY2PLdSwWL16MRo0awdjYGM7Oznj77beRnp6uUebEiRPo0KEDjIyMYGFhgaCgICQlJZV6LI8cOQKJRKLxOOKFCxcgkUgQGRmpsc+7du2Cr68v5HI57ty5g7Nnz6Jr166wtraGUqlE+/btcf78eY24kpOTMWbMGNjZ2UGhUKBhw4bYs2cPMjIyYGZmhq1bt2qU37FjB4yNjZGWllauY0REREREle+5TEpNmDAB33//fU2HQbVMgLslHJQKFNdblARFo/D98nYrzOzlix6N7GFrKkdegcCFu8n4+s8IjN14Ds0/OYiOnx/B5C0X8dOZO7gVmw4hHu86nejpV5CdUfxfbnY5ymaVqWx5TZ8+HQsXLsRHH32EsLAw/PDDD7Czs9Mo8+GHH2Ly5Mm4cOEC6tati4EDByI/Px8AEB4ejm7duuHVV1/FpUuXsHnzZhw/fhzjx4/XWMeXX36J1q1b4++//0bPnj0xaNAgDB48GG+99RbOnz8PT09PDB48uNjP+d69e9G3b1/06NEDf//9Nw4dOoSAgAD1/Ly8PMydOxcXL17Ejh07EBkZiaFDh5brWOjp6eGrr77C1atX8d133+GPP/7A1KlT1fMvXLiAzp07w9fXF6dOncLx48fRu3dvFBQUlPlYliYzMxOLFi3CN998g6tXr8LW1hZpaWkYMmQIjh8/jtOnT8Pb2xs9evRQJ5QKCwvRvXt3nDhxAhs3bkRYWBgWLlwIqVQKY2NjDBgwAOvWrdPYzrp169CvXz+YmpqWKz4iIiIiqnzP5eN7HTp0wJEjR2o6DKplpHoSzOrti3Ebz0MCaIzAp0pUzertiyYuFmjiYoHhbdwhhMC9pCycjUxEaFQSzkUm4UZsGiLiMxARn4Gt5+4BACyMDNDM1QLNXC3Rws0CDeso+cgfPfX+HGpS7DzLJj3g98F/nfieGGOLwpxMnWWV9dujyawj6ten33FDXlq8VrkOP5U9eZuWloalS5di+fLlGDJkCADA09MTbdq00Sg3efJk9OxZ1GHwnDlz0KBBA9y6dQs+Pj5YsGAB3nzzTUycOBEA4O3tja+++grt27fHypUroVAUtZ7s0aMHxowZAwCYOXMmVq5ciRYtWuC1114DAHzwwQcIDAzEw4cPYW9vrxXrvHnzMGDAAMyZM0c9rXHjxur/Dx8+XP1/Dw8PfPXVV2jRogXS09NhYlL8OXiUah+A/1p3jR07FitWrAAAfPrpp2jevLn6NQA0aNCgXMeyNHl5eVixYoXGvnXq1EmjzJo1a2Bubo6jR4+iV69eOHjwIM6cOYN//vkHdevWVR8DlZEjR6JVq1aIjo6Gg4MDYmNjsW/fPhw8eLBcsRERERFR1XjqWkodO3YMvXv3hqOjIyQSCXbs2KFVJiQkBG5ublAoFGjZsiXOnDlT/YES6dCtoQNWvtUU9krNR/nslQqsfKspujV00JgukUjgbGmEV5o6YX7fRvjtvXa48NGLWDe0BYI7eqKluyXk+npIyszDwX9isWj/NfRbdQp+sw/g1ZUnseDXf/B72EMkZuRW524SPfP++ecf5OTkoHPnziWW8/PzU//fwaHo86t6NO7ixYtYv349TExM1H9BQUEoLCxERESEznWoWg81atRIa1pxj9ypWikV59y5c+jduzdcXFxgamqK9u3bAwDu3LlT4r496uDBg+jcuTPq1KkDU1NTDBo0CAkJCcjMzCw1hrIey9LIZDKNYwUADx8+xKhRo+Dt7Q2lUgkzMzOkp6er9+3ChQtwcnJSJ6QeFxAQgAYNGuC7774DAGzcuBGurq5o167dE8VKRERERJXjqWsplZGRgcaNG2P48OF45ZVXtOZv3rwZkyZNwqpVq9CyZUssWbIEQUFBuH79OmxtbQEA/v7+6scrHnXgwAE4OjpW+T7Q861bQwd09bXHmYhExKZlw9ZUgQB3S0j1inuwT5PSyAAdfWzR0afo/ZybX4irD1JwLioJZyMTcS4qCfHpuTgXlYRzUUlYjdsAAE8bYzR3tUQzNwu0cLOEm5URJJKybZOoKrRdn178TD3Nln6tV5fQB9JjnV2/sCzyCaIqUtaOxA0MDNT/V32eCgsLAQDp6ekYM2YM3n33Xa3lXFxcSlxHSestT6wZGRkICgpCUFAQNm3aBBsbG9y5cwdBQUHIzS1bsjoyMhK9evXCuHHjMG/ePFhaWuL48eMYMWIEcnNzYWRkVGIMpR1LVWfljz6emJeXp3M9j1+zhgwZgoSEBCxduhSurq6Qy+UIDAxU71tZzuPIkSMREhKCadOmYd26dRg2bBivjURERERPiacuKdW9e3d079692PmLFy/GqFGjMGzYMADAqlWrsHfvXnz77beYNm0agKJfTitLTk4OcnL+63g6NTW10tZNtZdUT4JAT6tKWZdMX0/9yN/Ith4QQiAqIVOdoAqNSsKt2HSEx2UgPC4Dm0PvAgCsjGVo5mqB5m4WaO5miYaOSsj0n7rGkVSLSRXGNV62ON7e3jA0NMShQ4cwcuTICq2jadOmCAsLg5eX1xPHUxI/Pz8cOnRIfd971LVr15CQkICFCxfC2dkZADQ6TS+Lc+fOobCwEF988YU6gfTzzz/rjOHRRwhVSjuWNjY2AIDo6GhYWFgAKPt9+sSJE1ixYgV69OgBALh79y7i4/97dNPPzw/37t3DjRs3im0t9dZbb2Hq1Kn46quvEBYWpn7EkIiIiIhq3lOXlCpJbm4uzp07h+nTp6un6enpoUuXLlojIlWWBQsW6KyEE9UUiUQCN2tjuFkb47XmRV9CkzJy1Qmqc1GJuHgvBQkZuTgQ9hAHwh4CAOT6emjsZP5vksoCzVwsoTQyKGlTRLWWQqHABx98gKlTp0Imk6F169aIi4vD1atXMWLEiDKt44MPPsALL7yA8ePHY+TIkTA2NkZYWBh+//13LF++vNJinTVrFjp37gxPT08MGDAA+fn52LdvHz744AO4uLhAJpNh2bJlGDt2LK5cuYK5c+eWa/1eXl7Iy8vDsmXL0Lt3b5w4cQKrVq3SKDN9+nQ0atQIb7/9NsaOHQuZTIbDhw/jtddeg7W1dYnH0svLC87Ozpg9ezbmzZuHGzdu4IsvvihTbN7e3urRBVNTUzFlyhSN1lHt27dHu3bt8Oqrr2Lx4sXw8vLCtWvXIJFI0K1bNwCAhYUFXnnlFUyZMgUvvvginJycynV8iIiIiKjqPFPNJuLj41FQUKA1oo+dnR1iYmLKvJ4uXbrgtddew759++Dk5FRiQmv69OlISUlR/929e7fC8RNVFQtjGbr42mFadx9sGdsKl2e/iG3jAjG9uw+61LeDhZEBcvILcSYyESuOhGP4+lA0/vgAXvzyKKZvv4xt5+7hTkImR/mj58pHH32E999/HzNnzkT9+vXRv3//Yvt10sXPzw9Hjx7FjRs30LZtWzRp0gQzZ86s9MfEO3TogC1btmDXrl3w9/dHp06d1H0p2tjYYP369diyZQt8fX2xcOFCfP755+Vaf+PGjbF48WIsWrQIDRs2xKZNm7BgwQKNMnXr1sWBAwdw8eJFBAQEIDAwEDt37oS+ftFvWyUdSwMDA/z444+4du0a/Pz8sGjRInzyySdlim3t2rVISkpC06ZNMWjQILz77rvqR/VVtm3bhhYtWmDgwIHw9fXF1KlT1aMCqqgeRXy0U3giIiIiqnkS8RR/C5VIJPjll1/Qp08fAMCDBw9Qp04dnDx5EoGBgepyU6dOxdGjR/HXX39VeUypqalQKpVISUmBmZlZlW+PqDIIIXA7PgOhkYkIjSzqi+p2fIZWORtTOZq7WqCZa1G/VL6OZjCQPlO5a6pm2dnZiIiIgLu7u3q0OaKnzYYNG/Dee+/hwYMHkMlkxZYr6f3M+3/FVfWxc5u2t/RCxYhc2JPrKeN6iIiIyqOs9/9n6vE9a2trSKVSPHz4UGN6ccNoE1ERiUQCTxsTeNqYoH+Log6Y49Nz1J2lh0Ym4vL9FMSl5eDXKzH49UpRy0NDAykaOyvRws0SzVwt0NTVAmYKPvJHRM+GzMxMREdHY+HChRgzZkyJCSkiIiIiqn7PVFJKJpOhWbNmOHTokLr1VGFhIQ4dOoTx48fXbHBEzxhrEzmCGtgjqEFRQjc7rwCX7qUgNOq/1lQpWXk4fTsRp28nAgAkEqCenWlRv1SulmjuZoE65tojZhERPQ0+/fRTzJs3D+3atdPoj5KIiIiIng5PXVIqPT0dt27dUr+OiIjAhQsXYGlpCRcXF0yaNAlDhgxB8+bNERAQgCVLliAjI0PnqEREVHYKAykC3C0R4G4JACgsFAiPS8fZyCSERhWN9BeVkIlrMWm4FpOGjafvAADszRRo5maBFq5Fo/z52JtCn4/8EdFTYPbs2Zg9e3ZNh0FERERExXjqklKhoaHo2LGj+vWkSZMAAEOGDMH69evRv39/xMXFYebMmYiJiYG/vz/279+v1fk5ET0ZPT0JvO1M4W1nijdaFj3yF5uWjXORRaP8hUYl4er9FMSkZmPvpWjsvRQNADCWSdHEpahfquZuFmjiYgET+VN3qSEiIiIiIqIa9tR9U+zQoUOpI4CNHz++2h/XCwkJQUhIiNaIPkTPE1tTBbo3ckD3Rg4AgKzcAly4m4xzUYk4G5mE83eSkJadj+O34nH8VjwAQE8C1HcwQ/N/W1I1d7OAg9KwpM0QERERERHRc+CpS0o9rYKDgxEcHKzuQZ6IAEOZFIGeVgj0tAJQ9Mjfjdg0nI1MwrnIRIRGJeFeUhauPkjF1Qep+O5UFACgjrnhvyP8WaCZqyXq2ZtCqsd+qZ5lhYWFNR0C0RPj+5iIiIioejEpRUSVRk9PAh97M/jYm2HQC64AgJiUbI3O08OiU3E/OQv3k7Ow6+IDAICpXB9NXC2KWlO5WsDfxRxGMl6engUymQx6enp48OABbGxsIJPJ2PE9PXOEEMjNzUVcXBz09PQ4Sh8RERFRNeG3PiKqUvZKBXr5OaKXnyMAICMnHxfuJiP03w7U/76TjLScfBy7EYdjN+IAAFI9CRo4mv3bmsoSzV0tYGumqMndoGLo6enB3d0d0dHRePDgQU2HQ/REjIyM4OLiAj09DtZAREREVB2YlCKiamUs10drL2u09rIGABQUClyLSf03SVX02N+DlGxcupeCS/dSsO5EJADA2dIQzV2L+qRq7moJb1sT6PGRv6eCTCaDi4sL8vPz2e8ePbOkUin09fXZ0o+IiIioGjEpRUQ1qqhVlBINHJUY0soNAHA/OQuhkYk4F5WE0MgkXItJxd3ELNxNvI9f/r4PADBT6P87wp8lmrlawN/ZHAoDaQ3uyfNNIpHAwMAABgYGNR0KERERERE9I5iUIqKnTh1zQ9Txr4OX/esAANKy8/D3nWSERiUhNDIRF+4mIzU7H4evx+Hw9aJH/gykRcmtR0f5szaR1+RuEBERERERUQmYlCKip56pwgDt6tqgXV0bAEB+QSH+iU7DWVVrqqhEPEzNwYW7ybhwNxnfHI8AALhZGaGZqyVauFmguZsFPG1M+GgOERERERHRU4JJqTIKCQlBSEgI+0shegroS/XQyEmJRk5KDG/jDiEE7iVlaYzyd/1hGiITMhGZkIlt5+8BAMyNDNDc1QLN/u2bqlEdZZkf+SsoFDgTkYjYtGzYmioQ4G4JKfu0IiIiIiIiqjAmpcooODgYwcHBSE1NhVKprOlwiOgREokEzpZGcLY0Qt8mTgCAlKw8nL+ThHORSTgbmYiL95KRnJmHg//E4uA/sQAA2b/JreaP9E1laaw9FPz+K9GYszsM0SnZ6mkOSgVm9fZFt4YO1bOTREREREREtQyTUkRUKykNDdCxni061rMFAOTmFyIsOhWhkYnqkf7i03NwLqqoZdXqY7cBAB42xv/1S+VqgesxaXh703mIx9Yfk5KNcRvPY+VbTZmYIiIiIiIiqgAmpYjouSDT14O/szn8nc0xsi0ghEBUQiZCo5Jw7t/H/m7GpuN2XAZux2Xg59CiR/70JNBKSAFF0yQA5uwOQ1dfez7KR0REREREVE5MShHRc0kikcDN2hhu1sbo16zokb+kjFycv5OkHuXv7zvJyC/UlZIqIgBEp2TjTEQiAj2tqilyIiIiIiKi2oFJKSKif1kYy9C5vh0617cDAGw7dxfvb7lU6nJz91xFnyZ1EOhhDV9HM7aaIiIiIiIiKgMmpYiIiuFoblSmcmHRaQiLvgYAMFPoI8DdCoGeVmjlaYV6dqbQY5KKiIiIiIhIC5NSRETFCHC3hINSgZiUbJ39SkkAWJnIMLqdB/66nYgzEYlIzc7HwX8e4uA/DwEAFkYGeMGjKEkV6GEFL1sTSCRMUhERERERETEpRURUDKmeBLN6+2LcxvOQQLPDc1Va6ZM+DdGtoQNGt/NEfkEhrj5IxanbCTgVnoCzkYlIyszDr1di8OuVGACAtYkcL3hYopWnNQI9reBmZcQkFRERERERPZeYlCqjkJAQhISEoKCgoKZDIaJq1K2hA1a+1RRzdochOiVbPd1eqcCs3r7o1tBBPU1fqofGzuZo7GyOse09kVdQiEv3knEqPAGnbicgNDIJ8ek52HMpGnsuRRetx0yhbkUV6GkFZ8uyPTJIRERERET0rGNSqoyCg4MRHByM1NRUKJXKmg6HiKpRt4YO6OprjzMRiYhNy4atqQIB7paldmhuINVDM1dLNHO1xPhO3sjJL8CFO8k4dTsBJ8MTcOFOMmJSs/HL3/fxy9/3AQB1zA3RyvPfx/08reCgNKyOXSQiIiIiIqp2TEoREZWBVE+CQE+rJ1qHXF+Klh5WaOlhhYldgOy8ApyLSlK3pLp4Nxn3k7Ow5dw9bDl3DwDgZmWEQE8rdb9UtqaKytgdIiIiIiKiGsekFBFRDVEYSNHayxqtvawBABk5+QhVJanC43H5fgoiEzIRmZCJH8/cBQB42hj/O7KfNV7wsIKlsawmd4GIiIiIiKjCmJQiInpKGMv10b6uDdrXtQEApGbn4WxEorolVVh0KsLjMhAel4GNp+8AAHzsTdWtqF5wt4LSyKAmd4GIiIiIiKjMmJQiInpKmSkM0Lm+HTrXtwMAJGfm4i9Vkio8AdcfpuFaTNHf+pORkEgAXwczdZ9ULdwsYapgkoqIiIiIiJ5OTEoRET0jzI1kCGpgj6AG9gCAhPQcnL6diFO343EqPAHhcRm4+iAVVx+k4us/IyDVk6BhHaV6ZL8WbhYwkvGyT0RERERETwd+OyEiekZZmcjR088BPf0cAACxqdk4dTtB/bhfVEImLt5NxsW7yVh1NBz6ehL4O5sXjeznYYWmrhZQGEhreC+IiIiIiOh5xaQUEVEtYWumwMv+dfCyfx0AwIPkLHWC6lR4Au4nZyE0KgmhUUlY9sctyPT10OSRJJW/iznk+kxSERERERFR9WBSioiolnI0N8SrzZzwajMnCCFwNzFL/ajfqdsJeJiag78iEvFXRCKW4CYUBnpo7mpZ1Gm6hxX8nJQwkOrV9G4QEREREVEtxW8bZRQSEgJfX1+0aNGipkMhIio3iUQCFysj9G/hgiUDmuD09M744/32mNe3IXr5OcDaRIbsvEIcvxWPz367jldXnoT/nAMY8u0ZrDoajot3k1FQKGp6N4ioBMeOHUPv3r3h6OgIiUSCHTt2lFh+6NChkEgkWn8NGjRQl5k9e7bWfB8fnyreEyIiInpesKVUGQUHByM4OBipqalQKpU1HQ4R0RORSCTwsDGBh40J3mzpCiEEbsWm4+S/I/udjkhAcmYejt6Iw9EbcQAAU4U+Wrpb4oV/O06vb28GPT1JDe8JEalkZGSgcePGGD58OF555ZVSyy9duhQLFy5Uv87Pz0fjxo3x2muvaZRr0KABDh48qH6tr8/qIxEREVUO1iqIiAgSiQTedqbwtjPFkFZuKCwUuBaTpu6P6q+IBKRl5+PgP7E4+E8sAMDcyAAt3S0R6GGFVl7W8LY1gUTCJBVRTenevTu6d+9e5vJKpVLjh7YdO3YgKSkJw4YN0yinr68Pe3v7SouTiIiISIVJKSIi0qKnJ4Gvoxl8Hc0woo07CgoFrj5IUfdHdTYiEcmZefjt6kP8dvUhAMDaRIaWHkWdpgd6WsHD2phJKqJnyNq1a9GlSxe4urpqTL958yYcHR2hUCgQGBiIBQsWwMXFpdj15OTkICcnR/06NTW1ymImIiKiZxuTUkREVCqpngR+TubwczLHmPaeyCsoxOX7RUmq07cTcDYyEfHpudh7KRp7L0UDAGxN5eqR/QI9reBiacQkFdFT6sGDB/j111/xww8/aExv2bIl1q9fj3r16iE6Ohpz5sxB27ZtceXKFZiamupc14IFCzBnzpzqCJuIiIiecUxKERFRuRlI9dDUxQJNXSwQ3NELOfkFuHhX1ZIqHufvJCM2LQc7LzzAzgsPAAB1zA3V/VEFelqhjrlhDe8FEal89913MDc3R58+fTSmP/o4oJ+fH1q2bAlXV1f8/PPPGDFihM51TZ8+HZMmTVK/Tk1NhbOzc5XETURERM82JqWIiOiJyfWlCHC3RIC7JSbAG9l5BTh/Jwmn/33c78LdZNxPzsK28/ew7fw9AICLpZG6FVWgpxXszBQ1vBdEzychBL799lsMGjQIMpmsxLLm5uaoW7cubt26VWwZuVwOuVxe2WESERFRLcSkFBERVTqFgRStPK3RytMaAJCZm4/QyCR1x+mX76fgTmIm7iRmYnPoXQCAh42xOkn1gocVrE34pZaoOhw9ehS3bt0qtuXTo9LT0xEeHo5BgwZVQ2RERERU2zEpRUREVc5Ipo92dW3Qrq4NACAtO0+dpDoZHo+rD1JxOy4Dt+MysOmvOwCAunYm6iRVS3crWBiX3IKD6HmXnp6u0YIpIiICFy5cgKWlJVxcXDB9+nTcv38f33//vcZya9euRcuWLdGwYUOtdU6ePBm9e/eGq6srHjx4gFmzZkEqlWLgwIFVvj9ERERU+zEpRURE1c5UYYCOPrbo6GMLAEjJzMNfEQnqllTXYtJw42E6bjxMx3enoiCRAPXtzdQdpwd4WMJMYVDDe0H0dAkNDUXHjh3Vr1X9Og0ZMgTr169HdHQ07ty5o7FMSkoKtm3bhqVLl+pc57179zBw4EAkJCTAxsYGbdq0wenTp2FjY1N1O0JERETPDSaliIioximNDPBiA3u82MAeAJCYkYu/bifg5L99Ut2KTUdYdCrColOx9ngE9CRAwzpKdUuqFm6WMJbzlkbPtw4dOkAIUez89evXa01TKpXIzMwsdpmffvqpMkIjIiIi0ok1eCIieupYGsvQvZEDujdyAADEpmXj9O1EnApPwOnbCYiIz8Cleym4dC8Fq4/dhr6eBH5Oyn9bUlmjmasFDGXSYtdfUChwJiIRsWnZsDVVIMDdElI9SXXtHhERERERgUmpMgsJCUFISAgKCgpqOhQioueOrakCLzV2xEuNHQEA0SlZOP3vo34nwxNwLykL5+8k4/ydZIQcDodMqgd/Z3P1yH5NXMwh1y9KUu2/Eo05u8MQnZKtXr+DUoFZvX3RraFDjewfEREREdHziEmpMgoODkZwcDBSU1OhVCprOhwioueag9IQfZs4oW8TJwDA3cRMnLqdgNP/Pu4XnZKNM5GJOBOZiKWHbkKur4dmrhawNpZh16VorfXFpGRj3MbzWPlWUyamiIiIiIiqCZNSRET0zHO2NIKzpRFeb+4MIQSiEjL/HdmvqDVVfHoOToYnFLu8qheeObvD0NXXno/yERERERFVAyaliIioVpFIJHCzNoabtTEGBrhACIHwuHT88NcdfHsissRlo1Oy0WbhH/C2N4WThSGcLAzhbGFU9K+lEayMZZBImLAiIiIiIqoMTEoREVGtJpFI4GVrisbO5mUqH52ajejUbJ3zFAZ6cLIwgrOFIZweSVapklfmRgZMWhERERERlRGTUkRE9FywNVWUqdz/etaHmcIA95IycS8pC3f//TcmNRvZeYW4FZuOW7HpOpc1lkmLklaW/yWtHk1eKQ0NKnOXiIiIiIieaUxKERHRcyHA3RIOSgViUrLVfUg9SgLAXqnAsNbuOvuUys0vxIPkrEcSVf8mrRKL/o1Ny0FGbgGuP0zD9YdpOmMwVegX39LK0ggmct6WiYiIiOj5wdovERE9F6R6Eszq7YtxG89DAmgkplQpqFm9fYvt5Fymr6fuq0qX7LwC3Fclrf5NVN1LysTdpCzcT8pEfHou0rLz8U90Kv6JTtW5DnMjA41+rB5vdWUk422biIiIiGoP1m6JiOi50a2hA1a+1RRzdochOuW/fqPslQrM6u2Lbg0dKrxuhYEUnjYm8LQx0Tk/Mzcf95OyNB4JvJeUibuJRf8mZeYh+d+/K/d1J62sjGVFySrLR5JWj7S6UhhIKxw/EREREVF1Y1KKiIieK90aOqCrrz3ORCQiNi0btqYKBLhbFttCqrIYyfThbWcKbztTnfPTc/KLHglM/K+F1aNJq9TsfCRk5CIhIxcX76XoXIeNqbzYllaO5grI9Zm0IiIiIqKnB5NSRET03JHqSRDoaVXTYWgwkevDx94MPvZmOuenZOWp+7HSekQwMRMZuQWIS8tBXFoO/r6TrLW8RALYmSo0+rH6L4FlBAdzBQykelW8l0RERERE/2FSioiI6BmgNDSA0lCJBo5KrXlCCKRk5albVT36iKAqeZWVV4CY1GzEpGYjNCpJax16EsBBaYg6Gi2t/ktg2ZspoM+kFRERERFVIialiIiInnESiQTmRjKYG8nQyEl30ioxI1f9SODjLa3uJWUhJ78Q95OzcD85C2ciErXWoa8ngYO5Ak7m2qMGOlkYwtZUUeWPQBIRERFR7cKkFBERUS0nkUhgZSKHlYkc/s7mWvMLCwXiM3I0Wlo9mry6n5yFvAKBu4lZuJuYpXMbBlIJ6pj/1+m682OdsVubyKFXhUmrgkJR7f2EEREREdGTYVKKiIjoOaenJ4GtqQK2pgo0c7XQml9YKBCblvPvI4FFnbHffaR/qwf/Jq0iEzIRmZCpcxsyfT11kspJxyOCVsYySCQVSyLtvxKtNaKiQyWMqEhEREREVYtJqTIKCQlBSEgICgoKajoUIiKiaqWnJ4G9UgF7pQIt3Cy15ucXFOJhWs5jna//19oqOiULufmFuB2XgdtxGTq3YWggVSepHh01UJXAMjcy0Jm02n8lGuM2nod4bHpMSjbGbTyPlW81ZWKKiIiI6CnFpFQZBQcHIzg4GKmpqVAqtfvrICIiel7pS/VQx9wQdcwNdc7PKyhETEp2Ueuqf5NVj/ZvFZOajay8AtyMTcfN2HSd6zCWSTUeCXSyMISj0hAzd13RSkgBgAAgATBndxi6+trzUT4iIiKipxCTUkRERFSlDKR6cLY0grOlEeCpPT8nvwDRydmPjBqo2dIqNi0HGbkFuBaThmsxaWXergAQnZKNMxGJCPS0qrwdIiIiIqJKwaQUERER1Si5vhRu1sZwszbWOT87rwD3k7M0Rg28m5SJy/dScCdRdx9Wj4pNyy61DBERERFVPyaliIiI6KmmMJDC08YEnjYmGtNPhSdg4NenS13e1lRRVaERERER0RPQq+kAiIiIiCoiwN0SDkoFiustSoKiUfgC3LU7ZyciIiKimsekFBERET2TpHoSzOrtCwBaiSnV61m9fdnJOREREdFTikkpIiIiemZ1a+iAlW81hb1S8xE9e6UCK99qim4NHWooMiIiIiIqDfuUIiIiomdat4YO6OprjzMRiYhNy4atadEje2whRURERPR0Y1KKiIiInnlSPQkCPa1qOgwiIiIiKgc+vkdERERERERERNWOSSkiIiIiIiIiIqp2TEoREREREREREVG1Y1KKiIiIiIiIiIiqHZNSRERERERERERU7ZiUIiIiIiIiIiKiasekFBERERERERERVTsmpYiIiIiIiIiIqNoxKUVERERERERERNWOSakyCgkJga+vL1q0aFHToRARERERERERPfOYlCqj4OBghIWF4ezZszUdChERERERERHRM49JKSIiIiIiIiIiqnZMShERERERERERUbVjUoqIiIiIiIiIiKodk1JERERERERERFTtmJQiIiIiIiIiIqJqx6QUERERERERERFVOyaliIiIiIiIiIio2jEpRURERERERERE1Y5JKSIiIiIiIiIiqnZMShERERERERERUbVjUoqIiIiIiIiIiKodk1JERERERERERFTtmJQiIiIiqgWOHTuG3r17w9HRERKJBDt27Cix/JEjRyCRSLT+YmJiNMqFhITAzc0NCoUCLVu2xJkzZ6pwL4iIiOh5wqQUERERUS2QkZGBxo0bIyQkpFzLXb9+HdHR0eo/W1tb9bzNmzdj0qRJmDVrFs6fP4/GjRsjKCgIsbGxlR0+ERERPYf0azoAIiIiInpy3bt3R/fu3cu9nK2tLczNzXXOW7x4MUaNGoVhw4YBAFatWoW9e/fi22+/xbRp054kXCIiIiK2lCIiIiJ6nvn7+8PBwQFdu3bFiRMn1NNzc3Nx7tw5dOnSRT1NT08PXbp0walTp4pdX05ODlJTUzX+iIiIiHRhUoqIiIjoOeTg4IBVq1Zh27Zt2LZtG5ydndGhQwecP38eABAfH4+CggLY2dlpLGdnZ6fV79SjFixYAKVSqf5zdnau0v0gIiKiZxcf3yMiIiJ6DtWrVw/16tVTv27VqhXCw8Px5ZdfYsOGDRVe7/Tp0zFp0iT169TUVCamiIiISCcmpYiIiIgIABAQEIDjx48DAKytrSGVSvHw4UONMg8fPoS9vX2x65DL5ZDL5VUaJxEREdUOfHyPiIiIiAAAFy5cgIODAwBAJpOhWbNmOHTokHp+YWEhDh06hMDAwJoKkYiIiGoRtpQiIiIiqgXS09Nx69Yt9euIiAhcuHABlpaWcHFxwfTp03H//n18//33AIAlS5bA3d0dDRo0QHZ2Nr755hv88ccfOHDggHodkyZNwpAhQ9C8eXMEBARgyZIlyMjIUI/GR0RERPQkmJQiIiIiqgVCQ0PRsWNH9WtVv05DhgzB+vXrER0djTt37qjn5+bm4v3338f9+/dhZGQEPz8/HDx4UGMd/fv3R1xcHGbOnImYmBj4+/tj//79Wp2fExEREVUEk1JEREREtUCHDh0ghCh2/vr16zVeT506FVOnTi11vePHj8f48eOfNDwiIiIiLexTioiIiIiIiIiIqh2TUkREREREREREVO2YlCqjkJAQ+Pr6okWLFjUdChERERERERHRM49JqTIKDg5GWFgYzp49W9OhEBERERERERE985iUIiIiIiIiIiKiasekFBERERERERERVTsmpYiIiIiIiIiIqNoxKUVERERERERERNWOSSkiIiIiIiIiIqp2TEoREREREREREVG1Y1KKiIiIiIiIiIiqHZNSRERERERERERU7ZiUIiIiIiIiIiKiasekFBERERERERERVTsmpYiIiIiIiIiIqNoxKUVERERERERERNWOSSkiIiIiIiIiIqp2TEoREREREREREVG1Y1KKiIiIiIiIiIiqHZNSRERERERERERU7ZiUIiIiIiIiIiKiasekFBERERERERERVTsmpYiIiIiIiIiIqNoxKUVERERERERERNWOSSkiIiIiIiIiIqp2TEoREREREREREVG1Y1KKiIiIiIiIiIiqHZNSRERERERERERU7ZiUIiIiIiIiIiKiasekFBERERERERERVTsmpYiIiIiIiIiIqNoxKUVERERERERERNVO/0kWjo+PR3x8PCQSCaytrWFlZVVZcRERERERERERUS1WrqRURkYGtmzZgp07d+LkyZOIj4/XmG9tbY3AwED06dMHr732GoyNjSs1WCIiIiIiIiIiqh3KlJRKSEjAggULsHr1amRnZ8PPzw8vv/wyPDw8YGFhASEEkpKSEBERgXPnzmHUqFF45513MGbMGEybNg3W1tZVvR9ERERERERERPQMKVNSys3NDV5eXvjss8/w6quvwsbGpsTycXFx2LZtG9asWYM1a9YgNTW1UoIlIiIiIiIiIqLaoUxJqa1btyIoKKjMK7WxscHYsWMxduxY/PbbbxUOjoiIiIiIiIiIaqcyjb5XnoRUZS5LRERERERERES1U5mSUkRERERERERERJWpXKPvPSo7Oxvbtm3D+fPnkZKSgsLCQo35EokEa9eufeIAiYiIiGqTv/76Cy1btqzpMIiIiIhqXIWSUlFRUejYsSMiIyNhbm6OlJQUWFpaIjk5GQUFBbC2toaJiUllx0pERET0zAsMDISXlxcGDRqEN998Ex4eHjUdEhEREVGNqNDje1OmTEFKSgpOnz6NGzduQAiBzZs3Iz09HYsWLYKhoSE7OCciIiLSYePGjfD29sbcuXPh7e2N1q1bY9WqVUhMTKzp0IiIiIiqVYWSUn/88QfefvttBAQEQE+vaBVCCMjlckyZMgWdO3fGxIkTKzPOSnP37l106NABvr6+8PPzw5YtW2o6JCIiInqOvPHGG9i7dy8ePHiApUuXQgiBt99+G46OjujTpw+2bt2K3Nzcmg6TiIiIqMpVKCmVmZkJNzc3AICZmRkkEglSUlLU8wMDA3H8+PFKCbCy6evrY8mSJQgLC8OBAwcwceJEZGRk1HRYRERE9JyxtrbG+PHjcfLkSdy8eRMffvghrl27hv79+8Pe3h6jR49+autTRERERJWhQkkpFxcX3Lt3D0BRkqdOnTo4ffq0en5YWBgUCkXlRFjJHBwc4O/vDwCwt7eHtbU1m8sTERFRjTI0NISRkREUCgWEEJBIJNi5cyfat2+PFi1aICwsrKZDJCIiIqp0FUpKderUCTt37lS/Hjp0KL788kuMGjUKI0aMQEhICHr37l2hgI4dO4bevXvD0dEREokEO3bs0CoTEhICNzc3KBQKtGzZEmfOnKnQts6dO4eCggI4OztXaHkiIiKiikpLS8O6devQpUsXuLq6YsaMGXBzc8PWrVsRExODBw8eYPPmzYiNjcWwYcNqOlwiIiKiSleh0femTZuGs2fPIicnB3K5HDNmzMCDBw+wdetWSKVSvPHGG1i8eHGFAsrIyEDjxo0xfPhwvPLKK1rzN2/ejEmTJmHVqlVo2bIllixZgqCgIFy/fh22trYAAH9/f+Tn52ste+DAATg6OgIAEhMTMXjwYHz99dcVipOIiIioInbu3IlNmzZhz549yM7ORosWLbBkyRIMGDAAVlZWGmX79euHpKQkBAcH11C0RERERFWnQkkpFxcXuLi4qF8rFAp88803+Oabb544oO7du6N79+7Fzl+8eDFGjRql/sVw1apV2Lt3L7799ltMmzYNAHDhwoUSt5GTk4M+ffpg2rRpaNWqVallc3Jy1K9TU1PLuCdERERE2vr27QtnZ2e89957GDx4MOrVq1di+caNG+PNN9+spuiIiIiIqk+FHt+rKbm5uTh37hy6dOminqanp4cuXbrg1KlTZVqHEAJDhw5Fp06dMGjQoFLLL1iwAEqlUv3HR/2IiIjoSfzxxx+IiorCvHnzSk1IAUBAQADWrVtXarmydIHwqO3bt6Nr166wsbGBmZkZAgMD8dtvv2mUmT17NiQSicafj49PqbEQERERlUWZW0pt37693CvX9fjdk4iPj0dBQQHs7Ow0ptvZ2eHatWtlWseJEyewefNm+Pn5qStrGzZsQKNGjXSWnz59OiZNmqR+nZqaysQUERERVViHDh2qZL2ldYHwuGPHjqFr166YP38+zM3NsW7dOvTu3Rt//fUXmjRpoi7XoEEDHDx4UP1aX79CDe2JiIiItJS5VtGvXz9IJBIIIdTTJBIJAGhMe3ReQUFBJYRYudq0aYPCwsIyl5fL5ZDL5VUYERERET1P/ve//2HPnj3FdjfQpEkT9OnTB7NmzSrXekvrAuFxS5Ys0Xg9f/587Ny5E7t379ZISunr68Pe3r5csRARERGVRZmTUocPH9Z4nZycjL59++Lzzz9Hs2bNKj0wXaytrSGVSvHw4UON6Q8fPmRliYiIiJ4JW7duRd++fYud36NHD2zevLncSaknVVhYiLS0NFhaWmpMv3nzJhwdHaFQKBAYGIgFCxZo9C1KREREVFFlTkq1b99e43VCQgKAopHuHp9XVWQyGZo1a4ZDhw6hT58+AIoqUIcOHcL48eOrJQYiIiKiJ3Hnzh14enoWO9/d3R1RUVHVGFGRzz//HOnp6Xj99dfV01q2bIn169ejXr16iI6Oxpw5c9C2bVtcuXIFpqamOtfDQWKIiIiorJ66TgHS09Nx69Yt9euIiAhcuHABlpaWcHFxwaRJkzBkyBA0b94cAQEBWLJkCTIyMtSj8RERERE9zUxMTEpMOkVEREChUFRjRMAPP/yAOXPmYOfOnbC1tVVPf/RxQD8/P7Rs2RKurq74+eefMWLECJ3rWrBgAebMmVPlMRMREdGz76kbfS80NBRNmjRR92UwadIkNGnSBDNnzgQA9O/fH59//jlmzpwJf39/XLhwAfv379fq/JyIiIjoadShQwesXr0a9+/f15p39+5drFmzBh07dqy2eH766SeMHDkSP//8s8YIx7qYm5ujbt26Gj8gPm769OlISUlR/929e7eyQyYiIqJa4qlrKdWhQwedHac/avz48dX+uF5ISAhCQkKeys7biYiI6Nkxd+5cBAQEoEGDBhgxYgQaNGgAALhy5Qq+/fZbCCEwd+7caonlxx9/xPDhw/HTTz+hZ8+epZZPT09HeHg4Bg0aVGwZDhJDREREZfXESSnVCHy1XXBwMIKDg5GamgqlUlnT4RAREdEzql69evjzzz/xzjvv4Msvv9SY165dO3z11VeoX79+uddbWhcI06dPx/379/H9998DKHpkb8iQIVi6dClatmyJmJgYAIChoaG6rjN58mT07t0brq6uePDgAWbNmgWpVIqBAwdWdPeJiIiI1MqclHrppZc0Xufl5QEAPvzwQ1hbW2uVl0gk2Llz5xOGR0RERFT7+Pn54ejRo4iPj8ft27cBAB4eHjrrVGUVGhqq8djfpEmTAABDhgzB+vXrER0djTt37qjnr1mzBvn5+eof3lRU5QHg3r17GDhwIBISEmBjY4M2bdrg9OnTsLGxqXCcRERERCplTkpdunRJq1WUq6sroqOjER0drVX+eWlBRURERFRR1tbWT5SIelRpXSCoEk0qR44cKXWdP/300xNGRURERFS8MielIiMjqzAMIiIioudHQUEBfvvtN9y+fRtJSUlaySSJRIKPPvqohqIjIiIiqh5PXUfnRERERLVZaGgoXn31Vdy7d6/Ylk1MShEREdHzQK8shTIzMyu8gSdZloiIiKi2efvtt5GVlYUdO3YgMTERhYWFWn8c7ZeIiIieB2VKSjk7O+Pjjz/W2XdUce7fv4+ZM2fCxcWlwsERERER1TaXLl3CBx98gN69e8Pc3LymwyEiIiKqMWV6fG/lypWYPXs2Pv74Y7Ru3RpdunRB06ZN4e7uDgsLCwghkJSUhIiICISGhuLgwYM4ffo0vL29sWLFiqreh2oREhKCkJAQ/nJJRERET8TJyanEDsmJiIiInhdlSkq9/vrr6NevH3bt2oX169dj3rx5yM3N1RphTwgBmUyGF198EVu3bsVLL70EPb0yNcZ66qmGS05NTYVSqazpcIiIiOgZ9cEHH+Dzzz/H6NGjYWZmVtPhEBEREdWYMnd0rqenhz59+qBPnz7IycnBuXPncO3aNSQkJAAArKys4OPjg2bNmkEul1dZwERERETPsrS0NJiYmMDLywsDBgyAs7MzpFKpRhmJRIL33nuvhiIkIiIiqh4VGn1PLpejVatWaNWqVWXHQ0RERFSrTZ48Wf3/5cuX6yzDpBQRERE9DyqUlCIiIiKiiomIiKjpEIiIiIieCkxKEREREVUjV1fXmg6BiIiI6KlQO3ohJyIiIiIiIiKiZwpbShERERFVs0uXLmHZsmU4f/48UlJSUFhYqDFfIpEgPDy8hqIjIiIiqh5sKVVGISEh8PX1RYsWLWo6FCIiInqGHTlyBAEBAdizZw8cHR1x+/ZteHh4wNHREVFRUTAxMUG7du1qOkwiIiKiKlfupFRmZiaaNWuGVatWVUU8T63g4GCEhYXh7NmzNR0KERERPcNmzpwJDw8PXL9+HevWrQMAzJgxA8ePH8fJkydx7949vP766zUcJREREVHVK3dSysjICBEREZBIJFURDxEREVGtdv78eYwYMQJmZmaQSqUAgIKCAgBAy5YtMWbMGHz00Uc1GSIRERFRtajQ43vdunXDb7/9VtmxEBEREdV6+vr6MDU1BQCYm5vDwMAAsbGx6vkeHh4ICwurqfCIiIiIqk2FklIfffQRbty4gUGDBuH48eO4f/8+EhMTtf6IiIiISJOXlxdu3rwJoKhDcx8fH/zyyy/q+Xv37oW9vX1NhUdERERUbSo0+l6DBg0AAGFhYfjhhx+KLadqik5ERERERXr06IFvv/0WCxYsgL6+PiZNmoRhw4bB29sbABAeHo4FCxbUcJREREREVa9CSamZM2eyTykiIiKiCvjoo48wYcIEdX9SQ4YMgVQqxbZt2yCVSvHhhx9i6NChNRskERERUTWoUFJq9uzZlRwGERER0fPBwMAAVlZWGtPeeustvPXWWzUUEREREVHNqFBS6nFZWVkAAENDw8pYHREREVGtV1BQgHPnziEyMhIA4O7ujqZNm6pbUBERERHVdhXq6BwA7ty5g2HDhsHOzg4mJiYwMTGBnZ0dhg8fjqioqMqMkYiIiKhWWb9+PZycnBAYGIgBAwZgwIABeOGFF1CnTh18++23NR0eERERUbWoUEupa9euoU2bNkhOTkbXrl1Rv3599fTvv/8eu3fvxvHjx1GvXr1KDZaIiIjoWbd69WqMGzcO/v7+mD17NurWrQsAuH79OlavXo1Ro0YhNzcXY8eOreFIiYiIiKpWhZJS06ZNg56eHv7++280atRIY96VK1fQuXNnTJs2TWN442ddSEgIQkJCOKIgERERPZFFixahbdu2OHjwIAwMDNTTO3bsiBEjRqBTp0749NNPmZQiIiKiWq9Cj+8dPXoU7777rlZCCgAaNmyI8ePH48iRI08a21MlODgYYWFhOHv2bE2HQkRERM+wmJgYvP766xoJKRUDAwMMGDAADx8+rIHIiIiIiKpXhZJSeXl5JXZqbmRkhLy8vAoHRURERFRbNWnSBDdu3Ch2/o0bN+Dv7199ARERERHVkAolpZo0aYJvvvkGKSkpWvNSU1Oxdu1aNG3a9ImDIyIiIqptli1bhp9//hlLly5Vj2AMFI1m/OWXX+Lnn3/G8uXLazBCIiIioupRoT6l5syZg27dusHHxwfDhg3T6KDzu+++Q0JCAkJCQio1UCIiIqLaYOjQoZBKpZg0aRKmTp0KR0dHAMCDBw+Qn58PR0dHDBkyRGMZiUSCixcv1kS4RERERFWmQkmpTp06Yd++fZgyZQoWLlyoMc/f3x8bNmxAx44dKyVAIiIiotrE0tISVlZW8Pb21pju5uZWMwERERER1ZByJ6Xy8vLwzz//wMfHB3///TdiYmIQFRUFAHB1dYW9vX2lB0lERERUW9S2wWCIiIiIKqrcfUrp6emhWbNm2L59OwDA3t4eLVu2RMuWLZmQIiIiIiIiIiKiMil3SympVApXV1fk5ORURTxEREREtdqxY8fKVK5du3ZVHAkRERFRzapQn1LvvPMOli9fjhEjRsDS0rKyYyIiIiKqtTp06ACJRFJquYKCgmqIhoiIiKjmVCgpVVBQALlcDk9PT/Tr1w9ubm4wNDTUKCORSPDee+9VSpBEREREtcXhw4e1phUUFCAyMhJr1qxBYWGh1kAyRERERLVRhZJSkydPVv9/7dq1OsswKUVERESkrX379sXOGzp0KNq2bYsjR46gU6dO1RgVERERUfWrUFIqIiKisuN46oWEhCAkJIRN6YmIiKjK6OnpYcCAAViwYAE+/vjjmg6HiIiIqEqVOymVlZWFpUuXomPHjujdu3dVxPRUCg4ORnBwMFJTU6FUKms6HCIiIqqlEhMTkZycXNNhEBEREVW5cielDA0NsXr1avj6+lZFPERERES12p07d3ROT05OxrFjx/DZZ5+hbdu21RwV0f/bu/O4qOr2/+PvAdkkwQXZXACXNFwLlazcklv09jZNLTVLXDJLrJQ7K0vFpTK1XFLuSHPrzsrsq5ZZuJBo5r6lppkLai7gLoqJCuf3Rz/ndgSUGYcZxdfz8TiPOudc55rrMIfh4zVnAQDA8Wy6fC8iIkI7duywdy0AAABFXmhoaL5P3zMMQw8//LA++eQTB1cFAADgeDY1pSZMmKB//vOfqlmzprp3765ixWxKAwAAcM+ZPn16rqaUyWRSqVKlVLlyZc5GBwAA9wybukndu3eXi4uL+vTpo1deeUXlypWTl5eXRYzJZNKvv/5qlyIBAACKiu7duzu7BAAAgDuCTU2p0qVLq0yZMqpWrZq96wEAACjSTp8+rcOHD6t27dp5rt++fbvKly+vUqVKObgyAAAAx7KpKZWSkmLnMgAAAO4NAwYM0O7du7V27do81/fp00cPPPCApk2b5uDKAAAAHMvF2QUAAADcS3766Sc98cQT+a5v06aNli1b5sCKAAAAnKPATam+fftq48aN5vkrV67o66+/1okTJ3LFLlu2TI8//rh9KgQAAChCTpw4IT8/v3zXlylTRsePH3dgRQAAAM5R4KZUYmKi/vjjD/N8RkaGunTpou3bt+eKTU9P14oVK+xTIQAAQBESFBSkLVu25Lt+06ZNKlu2rAMrAgAAcI7bunzPMAx71QEAAHBPaNeunaZNm6bvvvsu17pvv/1WM2bM0JNPPumEygAAABzLphudAwAAwDbDhg3TsmXL9OSTT6pOnTqqWbOmJGnHjh369ddf9cADD2j48OFOrhIAAKDwcaNzAAAAB/L19dXatWs1ePBgXblyRd98842++eYbXblyRUOGDNG6detUsmRJZ5cJAABQ6GhKAQAAOJi3t7eGDx+u7du36+LFi7p48aK2b9+uYcOGydvb26acK1euVJs2bRQcHCyTyaQFCxbccpuUlBQ99NBD8vDwUJUqVTRz5sxcMQkJCQoNDZWnp6ciIyO1fv16m+oDAAC4kVWX73322Wdau3atJOnSpUsymUyaPHlyrkHP9TdELyoSEhKUkJCg7OxsZ5cCAADuYlevXtXFixfl4+OT5/qMjAwVL15cxYpZd5eFzMxM1alTRz179lT79u1vGZ+amqrWrVvrxRdf1OzZs5WcnKznn39eQUFBio6OliTNmTNHcXFxSkxMVGRkpCZMmKDo6Gjt3r1b/v7+VtUHAABwI6tGO0uWLNGSJUssluX3LZzJZLK5qDtRbGysYmNjlZGRIV9fX2eXAwAA7lKvvPKKVq5cqR07duS5/tFHH9Xjjz+uiRMnWpW3VatWatWqVYHjExMTFRYWpg8//FCS9MADD2jVqlUaP368uSk1btw49e7dWz169DBvs2jRIk2fPl1vvvmmVfUBAADcqMCX7+Xk5Fg1cUYRAABAbklJSerYsWO+6zt27Kgffvih0OtYs2aNoqKiLJZFR0drzZo1kqTLly9r06ZNFjEuLi6KiooyxwAAANwOnr4HAADgQEePHlW5cuXyXR8cHKwjR44Ueh1paWkKCAiwWBYQEKCMjAz99ddfOnPmjLKzs/OM+f333/PNm5WVpaysLPN8RkaGfQsHAABFBjc6BwAAcKAyZcpo9+7d+a7ftWtXvvebuhuMGjVKvr6+5qlChQrOLgkAANyhaEoBAAA4UMuWLfXJJ59oy5YtudZt3rxZU6ZMsereULYKDAxUenq6xbL09HT5+PjIy8tLfn5+cnV1zTMmMDAw37yDBg3SuXPnzNOff/5ZKPUDAIC7H5fvAQAAONDIkSOVlJSkBg0a6IknnlCNGjUkSTt27NDChQvl7++vkSNHFnodDRs2zHXvqqVLl6phw4aSJHd3d0VERCg5OVnt2rWT9Pc9RpOTk9WvX79883p4eMjDw6PQ6gYAAEUHTSkAAAAHCg4O1saNG/Xmm2/q22+/1fz58yVJPj4+6tq1q9577z0FBwdbnffChQvau3eveT41NVVbt25V6dKlVbFiRQ0aNEhHjhzRZ599Jkl68cUXNXnyZL3++uvq2bOnfvrpJ3399ddatGiROUdcXJxiYmJUr149NWjQQBMmTFBmZqb5aXwAAAC3g6YUAACAgwUFBWnWrFkyDEMnTpyQJJUtW1Ymk8nmnBs3blSzZs3M83FxcZKkmJgYzZw5U8eOHdOhQ4fM68PCwrRo0SINGDBAEydOVPny5fXpp58qOjraHNOpUyedOHFCQ4cOVVpamurWraukpKRcNz8HAACwhU1NqdGjR+vZZ5+96ZNjAAAAkL/MzExlZGSoRIkSuu+++247X9OmTWUYRr7rZ86cmec2ed3b6nr9+vW76eV6AAAAtrLpRudvv/22QkJC9Pjjj2vGjBk6f/68vesCAAAocg4cOKC+ffsqJCREPj4+Kl++vHx9fVWxYkXFxsYqNTXV2SUCAAA4jE1NqYMHD2rUqFE6ffq0evXqpcDAQHXu3FmLFi1Sdna2vWsEAAC463377beqXbu2EhMT5erqqjZt2uiZZ55RmzZtVKxYMX388ceqXbu2vv32W2eXCgAA4BA2NaXKlSungQMHauvWrdq2bZteeeUVrV27Vm3atFFQUJBefvllrVu3zt61AgAA3JV27typTp06qXz58lqxYoX279+vBQsW6L///a8WLFig/fv3a8WKFapYsaI6d+6snTt3OrtkAACAQmdTU+p6NWvW1KhRo3TgwAGtWLFCjRo10n/+8x898sgjuv/++/XOO+/o+PHj9qgVAADgrvTee+/Jz89Pq1atUqNGjfKMadSokX7++WeVKVNGo0aNcnCFAAAAjnfbTSlJunTpkr766iuNGTNGCxculKurq1q1aqWaNWtq5MiRqly5svlxxwAAAPea5cuXq1evXipduvRN40qXLq2ePXvqp59+clBlAAAAzmNzU8owDC1ZskQxMTEKCAjQM888o6NHj2rMmDE6fPiwvv/+e82bN08HDhxQRESE/v3vf9uzbgAAgLvGqVOnFBoaWqDYsLAwnTp1qnALAgAAuAMUs2WjAQMGaM6cOUpPT1dQUJBefPFFdevWTTVq1MgVGxQUpOeff17dunW77WIBAADuRn5+fgV+sl5qaqr8/PwKuSIAAADns+lMqalTp6p58+ZKSkrSn3/+qdGjR+fZkLrmscce04wZM2wuEgAA4G7WtGlTTZs2TadPn75p3OnTpzVt2jQ1bdrUMYUBAAA4kU1nSqWnp8vb27vA8aGhoQU+ZR0AAKCoeeutt/TNN9+ocePGmjJlih555JFcMatXr1afPn106tQpDRo0yAlVAgAAOJZNTSlrGlJFRUJCghISEpSdne3sUgAAwF0mPDxcX3zxhbp166ZGjRopNDRUderUUYkSJXT+/Hlt27ZNqamp8vT01Oeff37TM9ABAACKCpuaUo8//vhN15tMJnl6eqp8+fJq1qyZOnbsqGLFbHqpO0ZsbKxiY2OVkZEhX19fZ5cDAADuMu3bt1fdunU1ZswYff/991qwYIF53bV7cA4cOFBVqlRxXpEAAAAOZFOnKCcnR0eOHNG+fftUqlQp86V5Bw4c0JkzZ1SlShX5+vpq3bp1mjp1qt5//30tW7aMm3YCAIB7WqVKlZSYmChJysjI0Pnz51WiRAn5+Pg4uTIAAADHs+lG5++8847OnDmjWbNm6fjx49q0aZM2bdqk48ePa8aMGTpz5owmTZqkEydOaPr06frtt9+4NwIAAMB1fHx8VK5cORpSAADgnmXTmVKvvfaaevTooeeee85iuaurq2JiYrRjxw4NGDBAa9asUffu3bVmzRotXLjQLgUDAAAAAADg7mfTmVLbtm276dP0QkND9euvv5rnIyIibvkIZAAAAAAAANw7bGpKBQUF6ZtvvlFOTk6udTk5Ofr6668VGBhoXnbq1CmVLl3a9ioBAAAAAABQpNh0+V5cXJxefvllPfroo+rdu7cqV64sSdq7d6+mTp2qDRs26KOPPjLHz507Vw0aNLBPxQAAAAAAALjr2dSUio2NlYuLi4YOHarnn39eJpNJkmQYhsqUKaOPPvpIsbGxkqSsrCyNHz/+ppf7AQAAAAAA4N5iU1NKkl566SU9//zz2rhxow4ePChJCgkJUb169eTm5maO8/DwUJMmTW6/UgAAgCJg5cqVN11vMpnk6emp8uXLKygoyEFVAQAAOJ7VTamLFy+qQoUKevPNNzVw4EA1bNhQDRs2LIzaAAAAipymTZuazzK/lapVq2r48OHq1KlTIVcFAADgeFY3pYoXL65ixYrJ29u7MOoBAAAo0pKSkvTGG28oKytLvXv3VpUqVSRJe/bs0aeffiovLy8NHjxYBw8e1CeffKJnnnlGrq6u6tixo5MrBwAAsC+bnr7XoUMHffPNNzIMw971AAAAFGlJSUny9PTU1q1bNWDAALVp00Zt2rRRXFycNm/eLDc3N61du1b9+/fXli1b9MADD2j06NHOLhsAAMDubGpKde7cWcePH1ezZs00e/Zs/fLLL9q8eXOuCQAAAJZmz56tZ555Ru7u7rnWeXp6qmvXrpo1a5Z5/tlnn9XOnTsdXSYAAEChs+lG502bNjX//88//5xrvWEYMplMys7OtrkwAACAoigzM1Pp6en5rj927JguXLhgni9ZsqRcXV0dURoAAIBD2dSUmjFjhr3rAAAAuCc8/vjjmjBhgh5++GH961//sli3cOFCTZw4Uc2bNzcv27p1q0JDQx1cJQAAQOGzqSkVExNj7zoAAADuCZMnT1azZs3Utm1blStXTpUrV5Yk7du3T0eOHFFISIgmTZokSbp06ZIOHTqk559/3pklAwAAFAqbmlLXO3bsmI4fP64qVarwRD4AAIBbqFixorZv367ExEQtXrxYBw8elCQ98MAD6t+/v/r06WMeU3l6euqHH35wZrkAAACFxqYbnUvSt99+q+rVq6t8+fJ66KGHtG7dOknSyZMn9eCDD2r+/Pl2KxIAAKAoKV68uOLi4rR48WL9/vvv+v3337V48WLFxcXxJR8AALhn2NSUWrhwodq3by8/Pz/Fx8fLMAzzOj8/P5UrV04zZ860V40AAABFxuuvv64tW7Y4uwwAAACns6kpNWLECDVu3FirVq1SbGxsrvUNGzZksAUAAJCHSZMmqV69eqpataqGDBmi7du3O7skAAAAp7CpKbV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Sung" Date: Thu, 15 Jan 2026 13:04:42 -0500 Subject: [PATCH 8/8] print final energy and update reference energy --- ...sample-based-quantum-diagonalization.ipynb | 83 ++++++++++-------- ...affd888-e89c-4aa9-8bae-4d1bb723b35e-0.avif | Bin 55590 -> 55052 bytes 2 files changed, 45 insertions(+), 38 deletions(-) diff --git a/docs/tutorials/sample-based-quantum-diagonalization.ipynb b/docs/tutorials/sample-based-quantum-diagonalization.ipynb index bed358e8a74..6f2a95a70a4 100644 --- a/docs/tutorials/sample-based-quantum-diagonalization.ipynb +++ b/docs/tutorials/sample-based-quantum-diagonalization.ipynb @@ -234,7 +234,7 @@ "eri = pyscf.ao2mo.restore(1, cas.get_h2cas(mo), norb)\n", "\n", "# Store reference energy from SCI calculation performed separately\n", - "exact_energy = -109.22690201485733" + "reference_energy = -109.22802921665716" ] }, { @@ -255,7 +255,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "E(CCSD) = -109.2177884185544 E_corr = -0.2879500329450041\n" + "E(CCSD) = -109.2177884185545 E_corr = -0.2879500329450042\n" ] } ], @@ -612,8 +612,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "Gate counts (w/o pre-init passes): OrderedDict({'rz': 12397, 'sx': 12161, 'cz': 3986, 'x': 579, 'measure': 52, 'barrier': 1})\n", - "Gate counts (w/ pre-init passes): OrderedDict({'sx': 7060, 'rz': 6996, 'cz': 1876, 'measure': 52, 'x': 34, 'barrier': 1})\n" + "Gate counts (w/o pre-init passes): OrderedDict({'rz': 12407, 'sx': 12155, 'cz': 3986, 'x': 581, 'measure': 52, 'barrier': 1})\n", + "Gate counts (w/ pre-init passes): OrderedDict({'sx': 7059, 'rz': 6980, 'cz': 1876, 'measure': 52, 'x': 35, 'barrier': 1})\n" ] } ], @@ -699,7 +699,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Fraction of sampled configurations that are valid: 0.00078\n" + "Fraction of sampled configurations that are valid: 0.00065\n" ] } ], @@ -776,54 +776,56 @@ "text": [ "Iteration 1\n", "\tSubsample 0\n", - "\t\tEnergy: -109.04281076429159\n", - "\t\tSubspace dimension: 278784\n", + "\t\tEnergy: -109.04961576529212\n", + "\t\tSubspace dimension: 291600\n", "\tSubsample 1\n", - "\t\tEnergy: -109.04943780820112\n", - "\t\tSubspace dimension: 262144\n", + "\t\tEnergy: -109.05419845387246\n", + "\t\tSubspace dimension: 298116\n", "\tSubsample 2\n", - "\t\tEnergy: -109.04221106979638\n", - "\t\tSubspace dimension: 275625\n", + "\t\tEnergy: -109.03983430633693\n", + "\t\tSubspace dimension: 291600\n", "Iteration 2\n", "\tSubsample 0\n", - "\t\tEnergy: -109.1034396218057\n", - "\t\tSubspace dimension: 446224\n", + "\t\tEnergy: -109.13341224824521\n", + "\t\tSubspace dimension: 432964\n", "\tSubsample 1\n", - "\t\tEnergy: -109.10731890219711\n", - "\t\tSubspace dimension: 442225\n", + "\t\tEnergy: -109.12829311613213\n", + "\t\tSubspace dimension: 434281\n", "\tSubsample 2\n", - "\t\tEnergy: -109.11500850968007\n", - "\t\tSubspace dimension: 461041\n", + "\t\tEnergy: -109.13563153146234\n", + "\t\tSubspace dimension: 444889\n", "Iteration 3\n", "\tSubsample 0\n", - "\t\tEnergy: -109.15244359744065\n", - "\t\tSubspace dimension: 632025\n", + "\t\tEnergy: -109.15805816816365\n", + "\t\tSubspace dimension: 644809\n", "\tSubsample 1\n", - "\t\tEnergy: -109.14894922580385\n", - "\t\tSubspace dimension: 624100\n", + "\t\tEnergy: -109.17104671394021\n", + "\t\tSubspace dimension: 588289\n", "\tSubsample 2\n", - "\t\tEnergy: -109.1371253698469\n", - "\t\tSubspace dimension: 640000\n", + "\t\tEnergy: -109.17084043977475\n", + "\t\tSubspace dimension: 585225\n", "Iteration 4\n", "\tSubsample 0\n", - "\t\tEnergy: -109.17612075034803\n", - "\t\tSubspace dimension: 846400\n", + "\t\tEnergy: -109.18154982106486\n", + "\t\tSubspace dimension: 776161\n", "\tSubsample 1\n", - "\t\tEnergy: -109.16621491238023\n", - "\t\tSubspace dimension: 829921\n", + "\t\tEnergy: -109.17757205183068\n", + "\t\tSubspace dimension: 762129\n", "\tSubsample 2\n", - "\t\tEnergy: -109.17929499028195\n", - "\t\tSubspace dimension: 850084\n", + "\t\tEnergy: -109.17890903245448\n", + "\t\tSubspace dimension: 760384\n", "Iteration 5\n", "\tSubsample 0\n", - "\t\tEnergy: -109.1848866798218\n", - "\t\tSubspace dimension: 1052676\n", + "\t\tEnergy: -109.18924157389883\n", + "\t\tSubspace dimension: 966289\n", "\tSubsample 1\n", - "\t\tEnergy: -109.18878437798148\n", - "\t\tSubspace dimension: 1058841\n", + "\t\tEnergy: -109.18449630323602\n", + "\t\tSubspace dimension: 952576\n", "\tSubsample 2\n", - "\t\tEnergy: -109.18330874368235\n", - "\t\tSubspace dimension: 1046529\n" + "\t\tEnergy: -109.18632692423985\n", + "\t\tSubspace dimension: 942841\n", + "Final energy: -109.18924157389883\n", + "Final energy error: 0.03878764275833646\n" ] } ], @@ -892,7 +894,12 @@ " carryover_threshold=carryover_threshold,\n", " callback=callback,\n", " seed=12345,\n", - ")" + ")\n", + "\n", + "final_energy = result.energy + nuclear_repulsion_energy\n", + "energy_error = final_energy - reference_energy\n", + "print(f\"Final energy: {final_energy}\")\n", + "print(f\"Final energy error: {energy_error}\")" ] }, { @@ -902,7 +909,7 @@ "source": [ "### Visualize the results\n", "\n", - "The first plot shows that after a couple of iterations we estimate the ground state energy within ``~41 mH`` (chemical accuracy is typically accepted to be ``1 kcal/mol`` $\\approx$ ``1.6 mH``). The energy can be improved by allowing more iterations of configuration recovery or increasing the number of samples per batch.\n", + "The first plot shows that after a couple of iterations we estimate the ground state energy within ``~40 mH`` (chemical accuracy is typically accepted to be ``1 kcal/mol`` $\\approx$ ``1.6 mH``). The energy can be improved by allowing more iterations of configuration recovery or increasing the number of samples per batch.\n", "\n", "The second plot shows the average occupancy of each spatial orbital after the final iteration. We can see that both the spin-up and spin-down electrons occupy the first five orbitals with high probability in our solutions." ] @@ -930,7 +937,7 @@ " min(result, key=lambda res: res.energy).energy + nuclear_repulsion_energy\n", " for result in result_history\n", "]\n", - "e_diff = [abs(e - exact_energy) for e in min_e]\n", + "e_diff = [abs(e - reference_energy) for e in min_e]\n", "yt1 = [1.0, 1e-1, 1e-2, 1e-3, 1e-4]\n", "\n", "# Chemical accuracy (+/- 1 milli-Hartree)\n", diff --git a/public/docs/images/tutorials/sample-based-quantum-diagonalization/extracted-outputs/caffd888-e89c-4aa9-8bae-4d1bb723b35e-0.avif b/public/docs/images/tutorials/sample-based-quantum-diagonalization/extracted-outputs/caffd888-e89c-4aa9-8bae-4d1bb723b35e-0.avif index 105e717a67410a42ee981dfa467fdb5efdd385b4..f9059adfcbb5170f8743ecc8c84af7f2629382ba 100644 GIT binary patch literal 55052 zcmZ_02UyN;|2}>bN>LG_sZbORG_)uYDQOQ4l|);6i%KO4m5er_Jt*xxC^TrNDWx=} 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