diff --git a/tests/notebooks/test_discrete_quantum_walk.py b/tests/notebooks/test_discrete_quantum_walk.py new file mode 100644 index 000000000..fee60dc59 --- /dev/null +++ b/tests/notebooks/test_discrete_quantum_walk.py @@ -0,0 +1,34 @@ +from tests.utils_for_testbook import ( + validate_quantum_program_size, + validate_quantum_model, + wrap_testbook, +) +from testbook.client import TestbookNotebookClient + + +@wrap_testbook("discrete_quantum_walk", timeout_seconds=90) +def test_notebook(tb: TestbookNotebookClient) -> None: + # test models + validate_quantum_model(tb.ref("qmod_1")) + validate_quantum_model(tb.ref("qmod_2")) + validate_quantum_model(tb.ref("qmod_3")) + + # test quantum programs + validate_quantum_program_size( + tb.ref("qprog_1"), + expected_width=10, # actual width: 8 + expected_depth=200, # actual depth: 177 + ) + validate_quantum_program_size( + tb.ref("qprog_2"), + expected_width=10, # actual width: 8 + expected_depth=200, # actual depth: 177 + ) + validate_quantum_program_size( + tb.ref("qprog_3"), + expected_width=8, # actual width: 6 + expected_depth=60, # actual depth: 46 + ) + + # test notebook content + pass # Todo diff --git a/tests/notebooks/test_high_level_modeling_flexible_qpe.py b/tests/notebooks/test_high_level_modeling_flexible_qpe.py new file mode 100644 index 000000000..262b7600e --- /dev/null +++ b/tests/notebooks/test_high_level_modeling_flexible_qpe.py @@ -0,0 +1,24 @@ +from tests.utils_for_testbook import ( + validate_quantum_program_size, + validate_quantum_model, + wrap_testbook, +) +from testbook.client import TestbookNotebookClient + + +@wrap_testbook("high_level_modeling_flexible_qpe", timeout_seconds=100) +def test_notebook(tb: TestbookNotebookClient) -> None: + # test quantum programs + validate_quantum_program_size( + tb.ref("qprog_1"), + expected_width=10, # actual width: 7 + expected_depth=2300, # actual depth: 2053 + ) + validate_quantum_program_size( + tb.ref("qprog_2"), + expected_width=15, # actual width: 13 + expected_depth=2700, # actual depth: 2339 + ) + + # test notebook content + pass # Todo diff --git a/tests/notebooks/test_linear_combination_of_unitaries.py b/tests/notebooks/test_linear_combination_of_unitaries.py new file mode 100644 index 000000000..34311d32a --- /dev/null +++ b/tests/notebooks/test_linear_combination_of_unitaries.py @@ -0,0 +1,28 @@ +from tests.utils_for_testbook import ( + validate_quantum_program_size, + validate_quantum_model, + wrap_testbook, +) +from testbook.client import TestbookNotebookClient + + +@wrap_testbook("linear_combination_of_unitaries", timeout_seconds=20) +def test_notebook(tb: TestbookNotebookClient) -> None: + # test models + validate_quantum_model(tb.ref("qmod_1")) + validate_quantum_model(tb.ref("qmod_2")) + + # test quantum programs + validate_quantum_program_size( + tb.ref("qprog_1"), + expected_width=5, # actual width: 4 + expected_depth=500, # actual depth: 372 + ) + validate_quantum_program_size( + tb.ref("qprog_2"), + expected_width=5, # actual width: 4 + expected_depth=500, # actual depth: 372 + ) + + # test notebook content + pass # Todo diff --git a/tutorials/advanced_tutorials/discrete_quantum_walk/discrete_quantum_walk.ipynb b/tutorials/advanced_tutorials/discrete_quantum_walk/discrete_quantum_walk.ipynb index 6c1434dad..f8587f8cb 100644 --- a/tutorials/advanced_tutorials/discrete_quantum_walk/discrete_quantum_walk.ipynb +++ b/tutorials/advanced_tutorials/discrete_quantum_walk/discrete_quantum_walk.ipynb @@ -76,14 +76,7 @@ "cell_type": "code", "execution_count": 1, "id": "f554a6f5-ad8c-483e-99c4-e810f482c53a", - "metadata": { - "execution": { - "iopub.execute_input": "2024-05-07T13:29:12.573415Z", - "iopub.status.busy": "2024-05-07T13:29:12.572905Z", - "iopub.status.idle": "2024-05-07T13:29:15.354393Z", - "shell.execute_reply": "2024-05-07T13:29:15.353685Z" - } - }, + "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", @@ -115,14 +108,7 @@ "cell_type": "code", "execution_count": 2, "id": "cb045538-fc52-4cb2-9282-523136887f46", - "metadata": { - "execution": { - "iopub.execute_input": "2024-05-07T13:29:15.357477Z", - "iopub.status.busy": "2024-05-07T13:29:15.356979Z", - "iopub.status.idle": "2024-05-07T13:29:15.360727Z", - "shell.execute_reply": "2024-05-07T13:29:15.360085Z" - } - }, + "metadata": {}, "outputs": [], "source": [ "def classical_coin_flip(coin):\n", @@ -149,14 +135,7 @@ "cell_type": "code", "execution_count": 3, "id": "7d849d3d-2e03-4824-ac40-ac3364f2e1b7", - "metadata": { - "execution": { - "iopub.execute_input": "2024-05-07T13:29:15.363081Z", - "iopub.status.busy": "2024-05-07T13:29:15.362718Z", - "iopub.status.idle": "2024-05-07T13:29:15.369725Z", - "shell.execute_reply": "2024-05-07T13:29:15.368352Z" - } - }, + "metadata": {}, "outputs": [], "source": [ "from classiq.qmod.symbolic import pi\n", @@ -174,7 +153,6 @@ "# quantum\n", "@qfunc\n", "def quantum_step_clockwise(x: QArray):\n", - "\n", " within_apply(\n", " lambda: qft(x),\n", " lambda: repeat(x.len, lambda i: PHASE(2 * pi * 2 ** (i) / (2**x.len), x[i])),\n", @@ -193,14 +171,7 @@ "cell_type": "code", "execution_count": 4, "id": "f78713da-6344-423c-a007-41638a3bd1a7", - "metadata": { - "execution": { - "iopub.execute_input": "2024-05-07T13:29:15.374939Z", - "iopub.status.busy": "2024-05-07T13:29:15.374073Z", - "iopub.status.idle": "2024-05-07T13:29:15.382877Z", - "shell.execute_reply": "2024-05-07T13:29:15.382022Z" - } - }, + "metadata": {}, "outputs": [], "source": [ "# classical\n", @@ -251,14 +222,7 @@ "cell_type": "code", "execution_count": 5, "id": "08292dda-f399-4532-923d-256de55b82ab", - "metadata": { - "execution": { - "iopub.execute_input": "2024-05-07T13:29:15.388391Z", - "iopub.status.busy": "2024-05-07T13:29:15.387243Z", - "iopub.status.idle": "2024-05-07T13:29:15.393480Z", - "shell.execute_reply": "2024-05-07T13:29:15.392864Z" - } - }, + "metadata": {}, "outputs": [], "source": [ "CIRCLE_SIZE = 2**7\n", @@ -270,20 +234,13 @@ "cell_type": "code", "execution_count": 6, "id": "2bf9fd18-3508-4e9b-995b-cb18025892f9", - "metadata": { - "execution": { - "iopub.execute_input": "2024-05-07T13:29:15.397631Z", - "iopub.status.busy": "2024-05-07T13:29:15.396528Z", - "iopub.status.idle": "2024-05-07T13:29:30.800511Z", - "shell.execute_reply": "2024-05-07T13:29:30.799858Z" - } - }, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Opening: https://platform.classiq.io/circuit/cfd073b1-0ec3-4490-b8ee-0837975e4ea0?version=0.41.0.dev39%2B79c8fd0855\n" + "Opening: https://platform.classiq.io/circuit/2twfxPVuNrJCxzG3l7JRn5z9PIg?version=0.70.0\n" ] } ], @@ -301,7 +258,6 @@ "# quantum\n", "@qfunc\n", "def main(t: CInt, x: Output[QNum]):\n", - "\n", " allocate_num(floor(log(CIRCLE_SIZE, 2)), True, 0, x)\n", " discrete_quantum_walk_circle(t, x)\n", "\n", @@ -311,16 +267,16 @@ " save({\"run\": sample({\"t\": 50})})\n", "\n", "\n", - "qmod = create_model(\n", + "qmod_1 = create_model(\n", " main,\n", " classical_execution_function=cmain,\n", " execution_preferences=ExecutionPreferences(num_shots=NUM_SAMPLES),\n", + " out_file=\"quantum_walk_circle\",\n", ")\n", "\n", - "write_qmod(qmod, \"quantum_walk_circle\")\n", - "qprog = synthesize(qmod)\n", - "show(qprog)\n", - "results = execute(qprog).result()" + "qprog_1 = synthesize(qmod_1)\n", + "show(qprog_1)\n", + "result_1 = execute(qprog_1).result_value()" ] }, { @@ -346,14 +302,7 @@ "cell_type": "code", "execution_count": 7, "id": "b530ce16-8ca1-4a0d-9ab4-3276cc752460", - "metadata": { - "execution": { - "iopub.execute_input": "2024-05-07T13:29:30.806410Z", - "iopub.status.busy": "2024-05-07T13:29:30.804628Z", - "iopub.status.idle": "2024-05-07T13:29:31.107836Z", - "shell.execute_reply": "2024-05-07T13:29:31.107223Z" - } - }, + "metadata": {}, "outputs": [ { "data": { @@ -367,7 +316,7 @@ }, { "data": { - "image/png": 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", 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hhJDEwheu4ySX6ug4kSAUToQQQhILb4ThcB8dJxKEwokQQkhiITtIbEdAGgGFEyGEkMRCaUcQQQNMUWzaMZFWA4UTIYSQxEJpRxDmkitAUGyRhIfCiRBCSGKhzKoL03ECGBAnChROhBBCEgulVNeA42RPAiBI28w5kQAUToQQQhKLcDuHCwJbEhADFE6EEEISC7kdQUOlOoAz64gBCidCCCGJRbjhcPU5dJxIgLgVTs899xwKCwuRnJyMoqIirFu3LuS527dvx/jx41FYWAhBEDBv3jzDOcXFxRg8eDDS09ORk5ODsWPHYteuXZpzRowYAUEQND+///3vY/3WCCGEtCThtiMA6DgRA3EpnJYsWYIZM2Zg9uzZ2LRpE/r27YvRo0fj0KFDpufX1taiW7dumDNnDvLy8kzP+eyzz3DLLbdg7dq1WLFiBTweDy6++GLU1NRozps6dSrKysqUn8ceeyzm748QQkgLoizyS8eJRI6jpQdgxpNPPompU6di8uTJAID58+fj/fffx4IFC3Dvvfcazh88eDAGDx4MAKbHAWDZsmWa56+88gpycnKwceNGnH/++cr+1NTUkOKLEELISYDSOTwSx4nCiUjEnePkdruxceNGjBo1Stlns9kwatQorFmzJmb3qaqqAgC0a9dOs//1119HdnY2evXqhZkzZ6K2ttbyOvX19aiurtb8EEIIiWN8Ya5VB6gcJ5bqiETcOU6VlZXw+XzIzc3V7M/NzcXOnTtjcg+/34877rgD55xzDnr16qXsv+aaa3DKKacgPz8fW7ZswT333INdu3bhrbfeCnmt4uJiPPTQQzEZFyGEkGaApToSBXEnnJqDW265Bdu2bcMXX3yh2X/DDTco271790bHjh1x4YUXYvfu3ejevbvptWbOnIkZM2Yoz6urq9G5c+emGTghhJDoCbdzOMBwODEQd8IpOzsbdrsdFRUVmv0VFRUxyR5NmzYN7733HlatWoVOnTpZnltUVAQA+P7770MKJ5fLBZcrDLuXEEJIfOCTHadISnV0nIhE3GWcnE4nBg4ciJKSEmWf3+9HSUkJhg4d2ujriqKIadOm4T//+Q8++eQTdO3atcHXbN68GQDQsWPHRt+XEEJInOGNRDjRcSJa4s5xAoAZM2bguuuuw6BBgzBkyBDMmzcPNTU1yiy7SZMmoaCgAMXFxQCkQPk333yjbB84cACbN29GmzZtcOqppwKQynOLFi3CO++8g/T0dJSXlwMAMjMzkZKSgt27d2PRokW49NJL0b59e2zZsgXTp0/H+eefjz59+rTAp0AIIaRJUEp1dJxI5MSlcJo4cSIOHz6MBx54AOXl5ejXrx+WLVumBMZLS0thswXNsoMHD6J///7K87lz52Lu3LkYPnw4Vq5cCQB4/vnnAUhNLtW8/PLLuP766+F0OvHxxx8rIq1z584YP3487rvvvqZ9s4QQQpqXiGbV0XEiWuJSOAFSFmnatGmmx2QxJFNYWAhRFC2v19Dxzp0747PPPotojIQQQloh4S7yC9BxIgbiLuNECCGENCnKIr90nEjkUDgRQghJLOg4kSigcCKEEJI4iGKE7Qhkx8nddGMirQoKJ0IIIYmDzxPcDqsBJh0nooXCiRBCSOKgFkBhLbnCRX6JFgonQgghiYNPVXKLyHFiOJxIUDgRQghJHNTr1NnC+Aqk40R0UDgRQghJHGQBFE4rAvV5dJxIgKiE086dO2M1DkIIIaTpUbqGh1GmAxgOJwaiEk5nnXUWLrroIrzzzjsNduYmhJCThbKqOqzeXYmyqrqWHgqJFKWHUxjBcIANMImBqJZcycrKQklJCT755BN07twZN910E373u9+hffv2sRofIYTEFf9aV4pZ/9kKUQRsAlA8rjcmDu7S0sMi4aJ0DafjRBpHVI7TwYMH8dJLL6F///4oLS3FrFmz0LlzZ0yePBkbNmyI1RgJISQuKKuqw6y3JNEEAH4RmPXWNjpPrQml+SUdJ9I4ohJOLpdLEUlr1qzBNddcA1EUsXDhQhQVFWHo0KF4/fXX4fF4Gr4YIYTEOXsqa6APJfhEEXsra1tkPKQRyAKIGSfSSGI2q66oqAj//Oc/sW/fPjzyyCPo1KkTvvrqK0yaNAmdO3fG/fffjwMHDsTqdoQQ0ux0zU6DoNtnFwQUZqe2yHhII1DaEYQ5q46OE9ER83YE2dnZmDlzJvbs2YN7770Xoiji8OHDePTRR9G1a1f85je/wd69e2N9W0IIaXI6Zqbg/NOyled2QcCj43qhY2ZKC46KREQkC/wCWseJk6AImkA4ud1u/POf/8SwYcPwl7/8BQCQk5ODK6+8Ei6XC6+//jr69OmDL7/8Mta3JoSQJqdHTjoAYGj39vji3pGGYDhn3MU5SjuCCB0niNp17kjCEtWsOjX79u3D888/j5deegmVlZUQRREDBw7E7bffjokTJyIpKQlVVVV49NFH8fjjj+Oee+7BF198EavbE0JIs+D1S65D29Qkg9O0ZH0pZr61FX7OuItfIi7VqULk3hPhZ6PISUvUwqmkpATPPvss3nvvPfh8PjgcDkyYMAG33XYbhg0bpjk3MzMTf/nLX7Bx40asXbs22lsTQkiz4wsIJ69PW7Ypq6rDvSYz7s4/rQNLefGEEg6P1HECc04EQJTC6cwzz8SuXbsgiiLat2+PG264ATfffDMKCgosX1dYWIhPP/00mlsTQkiLIDtOsoCS2VNZY4jAyDPuKJziCF+EwkkQJHfKV8+ZdQRAlMJp586d6N27N2677TZce+21SE4Ory/GlClTcN5550Vza0IIaRG8Pj8AwKMTTvKMO/VezriLQ7wRZpwAqVznq6fjRABEKZw++eQTjBgxIuLXDR06FEOHDo3m1oQQ0iL4FMfJr9nfMTMFl/fpiHe3lAHgjLu4JdJFfgFJZNWDjhMBEOWsutLSUqxevbrB89auXYtXX301mlsRQkhc4A2RcQKAPp2yAAA989JNZ9yROMAXYQNMQNWSgI4TiVI4XX/99XjxxRcbPO+ll17C5MmTo7kVIYTEBb4QGScgKKrSXA46TfGKN8IlVwBVE0w6TqQJ+jiZIbJpGCHkJMEbKNF5zYRTIP8kP5I4JNJ2BACXXSEamkU4HTp0CKmpDEgSQlo/4ThOZqKKxAlKA8xISnUu7WtJQhNxOHzVqlWa5+Xl5YZ9Ml6vF9u3b8dHH32E3r17N26EhBASR1iJIytRReIEZcmVSEp1dJxIkIiF04gRIyAIwWUuly9fjuXLl1u+RhRF3HTTTZGPjhBC4gw5FG5WjqPj1AqQ2xHYG+E4MRxO0AjhdP755yvC6bPPPkNOTg569uxpeq7T6USnTp0wfvx4XHrppdGNlBBC4gA542RaqmPGKf6h40SiJGLhtHLlSmXbZrPhkksuwYIFC2I5JkIIiVt8Fq4SHadWQKMyToFz6TgRRNkA89NPP0VeXl6sxkIIIXFPqCVX1PuYcYpjOKuORElUwmn48OGxGgchhLQKgo4TM06tkkaV6phxIkGapR0BIYScLMjhcGacWimNKtXRcSJBIhJOdrsdDocD3377rfI83B+HIypzixBCmo2yqjqs3l2Jsqo6wzGrjJPVMRInRNU5nI4TibBUJ4qipgt4JB3B2T2cENIaWLK+FDPf2gq/CNgEoHhcb82ac8qsOpO16qzyTyROUDJOdJxI44hIOPl1NX39c0IIac2UVdUpogkA/CIw661tOP+0Dsrac7I48pj8/qPj1ApQFvmNJBzOtepIEGacCCEkwJ7KGug1j08UsbeyVnlulXHyMOMU/3gbI5xkx4mlOkLhRAghCl2z02ATtPvsgoDC7OBam+FknPwi4KfrFJ80qh0BHScSJG6F03PPPYfCwkIkJyejqKgI69atC3nu9u3bMX78eBQWFkIQBMybN69R1zxx4gRuueUWtG/fHm3atMH48eNRUVERy7dFCIljOmamoHhcb8jaSQDw6LheSpkOCAom0UQcqcWUj7nO+MPvB/weaZuOE2kkEWWcLrjggkbfSBAElJSUhHXukiVLMGPGDMyfPx9FRUWYN28eRo8ejV27diEnJ8dwfm1tLbp164YJEyZg+vTpjb7m9OnT8f7772Pp0qXIzMzEtGnTMG7cOHz55ZeNft+EkNbFxMFd8NH2CpTsPISJgztrguEA4FNlm7x+EU6VRaUu3/n8IpLsTT9eEgE+lfBplHCi40QiFE7q5VYiRb0wcEM8+eSTmDp1KiZPngwAmD9/Pt5//30sWLAA9957r+H8wYMHY/DgwQBgejyca1ZVVeGll17CokWLFIH48ssv44wzzsDatWtx9tlnm163vr4e9fXB/xmrq6vDfp+EkPgkyS6Z8S6H0ZT36sSRGo8q2+Tx+ZFM5RRfqB2jRpXq6DiRCIXTp59+2lTjUHC73di4cSNmzpyp7LPZbBg1ahTWrFnTZNfcuHEjPB4PRo0apZzTs2dPdOnSBWvWrAkpnIqLi/HQQw81alyEkPhEbjngscgxBc+zmx5jS4I4RBE+AmBPCv91dJyIioiEU3MssVJZWQmfz4fc3FzN/tzcXOzcubPJrlleXg6n04msrCzDOeXl5SGvPXPmTMyYMUN5Xl1djc6dOzdqnISQ+EDpx2TRqwkwiiOvRlRROMUd6lYEEVRB6DgRNWznHSUulwsuVwSWLyEk7pFbDpj1avJqynFacUTHKc7xBpZbiaRMB9BxIhriblZddnY27Ha7YTZbRUUF8vLymuyaeXl5cLvdOHr0aMzuSwhpncilOq9OGPn9oqbPk1XGiY5THKIs8BupcKLjRIJE5Dj96U9/AgBMmzYN7dq1U56HgyAIuP/++xs8z+l0YuDAgSgpKcHYsWMBSB3KS0pKMG3atEiGG9E1Bw4ciKSkJJSUlGD8+PEAgF27dqG0tBRDhw5t1H0JIa2TUE0u9S0GvDpHSpN/YhPM+KMxXcMBOk5EQ0TC6cEHH4QgCLjqqqvQrl075bnVOnTy8XCFEwDMmDED1113HQYNGoQhQ4Zg3rx5qKmpUWbETZo0CQUFBSguLgYghb+/+eYbZfvAgQPYvHkz2rRpg1NPPTWsa2ZmZmLKlCmYMWMG2rVrh4yMDNx6660YOnRoyGA4IeTkRA6Fe3yhhVFDz+k4xSGNWacOUDlO7tiOh7RKIhJODzzwAARBQHZ2tuZ5rJk4cSIOHz6MBx54AOXl5ejXrx+WLVumhLtLS0thswWrjAcPHkT//v2V53PnzsXcuXMxfPhwpYVCQ9cEgKeeego2mw3jx49HfX09Ro8ejb/97W8xf3+EkPhG7tVkFf5u6DkzTnGIstxKcmSvo+NEVAiilV1EIqa6uhqZmZmoqqpCRkZGSw+HEBKCsqo67KmsQdfsNE1ncAAYM28VdpYfw/mndcCrvx2i7K+q9aDvnz5Snn80/XyclpuuPB9WXIKDVdKX6we3nYcz8/k7IK74djmw6Eogvz9ww8rwX1f3M/CXQmn7/p8AO+dVnYyE+/3N//qEkIRjyfpSzHxrK/wiYBOA4nG9NR3CQy3Wq8806cPjXkOPJxJXKOHwRjpO8jXsbWI3JtLqiOmsOlEUUVlZicOHD8PPXxqEkDikrKpOEU2AtCDvrLe2oayqTjkn1EK+zDi1cpR2BBFmnNTtCzizLuGJiXBasWIFxowZg/T0dOTm5iIvLw/p6ekYM2YMli9fHotbEEJITNhTWQO9pvGJIvZW1irP5f5MesdJ30lc3+epoYxTWVUdVu+u1Ig00ow0dladzQbYAp3GmXNKeKIu1d1999148sknDTPr6urq8NFHH2HFihW444478MQTT0R7K0IIiZqu2WmwCdCIJ7sgoDA7VXkuix6Do2TR8BLQCi19Ga+h8iBpBhrbxwmQynVuD4UTic5xeu211/DEE08gOTkZd955J7Zs2YJjx47h2LFj2Lp1K+666y6kpKRg3rx5eO2112I1ZkIIaTQdM1NQPK638lwQgEfH9dIExJW16gwZpsZlnMIpD5JmoLGdwwE2wSQKUQmnZ555Bna7HcuWLcPjjz+OXr16IS0tDWlpaTjrrLPw2GOPYdmyZRAEAc8++2ysxkwIIVExcXAX9O2UCQC4aXh3g/OjlOosGlw29FwtosIpD5JmoLHhcPVr6DglPFEJp23btuHcc8/FeeedF/Ic+fi2bduiuRUhhMQUuQddqtNuOBYqHG58HhRWoihqM04qN6prdhr0He/05UHSDPgCjpMjwnA4QMeJKEQlnJKTk5Gfn9/gefn5+XA6G/EPlRBCmohQ5Thpn/ladVYOk1WzzI6ZKbh6SNDVsguCoTxImgGlc3gjM04AHScSnXAaOHAgtmzZ0uB5W7ZswaBBg6K5FSGExBRviHIcoHKcDH2crDJN1nmowV3bAgA6pDvxxb0jGQxvCbyNnFWnfg0dp4QnKuH0xz/+ETt27MBjjz0W8pzHH38cO3bswKxZs6K5FSGExJRQrpK65Gbs4xQ689RQ/kl2thw2G52mlqKx7QgAOk5EIaJ2BKtWrdI8FwQB06ZNw8yZM7F06VL85je/QdeuXQEAe/bswWuvvYaNGzfitttu06wtRwghLY0siowz50K7SPpz1YsAGxwn/XV95vcjzYgseiJtgAnQcSIKEQmnESNGmC7qK4oiNm7ciE2bNhn2A8Bf//pXPPPMM/B6vVEMlRBCYkeoUp1mZpwv/Fl1DZ2rOFxcVaHlkNsRcFYdiYKIhNP5559vKpwIIaS1IQuZiFwki+cGoaQTSMr9vBROLUZUpTo6TkQiIuG0cuXKJhoGIYQ0L95QAXCfaLoNWGecGlrXTikNcg27liOqcDgdJyLB4BEhJCEJls7C6/4NWHcKNy6/Yr4ci16okWYkqnYEdJyIBIUTISQhCYa19S0Hgs/9IuC3mjmneq3+OqFm1emvSZqRqBpg0nEiElEv8itTU1OD77//HtXV1YYFf2XOP//8WN2OEEKiQhZIoWa/Bc8T4bQJyrb+mExDGSe1IPP4/XDZjB3LSRMT1ZIrsuNE4ZToRC2cfvjhB9x+++1YtmwZ/BazRQRB4Kw6QkhcIIpiyPXozBpZOgPmvFV3cEPGyUKQeX0iXDH7s5WEjbLIbzSOE0t1iU5U/+uWlZVh6NChOHz4MPLz8+H1enHo0CEMHToU3333HSorKyEIAoYOHYqkpKRYjZkQQqJCLYAMfZx8+tlw6nPDb4Bp1QNK72qRZkJxnKLJONFxSnSiyjjNmTMHhw8fxqxZs7B//35ccsklEAQBX375JQ4dOoQPP/wQp5xyClJSUrBixYpYjZkQQqLCMgAeyXp0YYoq/X30ZTzSTCjtCKLo4yTnpEjCEpVwWr58OQoKCvDQQw+ZHh89ejQ+/PBDrFq1Ck888UQ0tyKEkJjh0YS6w5sNB1gvwdJwHyc6Tk1C1QFgzyrpsSGiKtXRcSISUQmn0tJS9OvXD3a7FHKUl1VRZ5lOP/10nHfeeVi0aFE0tyKEkJihzRuFDnED2r5L0WWcQs/AI41k06vAU2cBC68A5vWSnlsRVTicGSciEZVwSkpKQlpamvJc3q6srNScl5OTgx9++CGaWxFCSMxQu0ENdQdXC6CIyngRiCzSCKoOAO/eDiDwWYp+4N07rJ2nqNoR0HEiElEJp/z8fOzbt095Li/wu2HDBs1527dvR2pqajS3IoSQmKHNJoVecgXQiix953CvP/yMk1td8qPjFD1HdktiSY3oA45Y/JGuLPLLBpik8UQlnAYOHIgdO3YopbkLL7wQoiji3nvvxfbt23Hs2DE8+uij2Lp1K/r27RuTARNCSLRYleosF/KNyHHSdx0PPndTOEVPu+6AoPsKE+xAu27m5/u8QaHFJVdIFEQlnMaMGYOjR49i2bJlAIA+ffpg7Nix+Oabb9CnTx9kZWXh/vvvh81mw+zZs2MyYEIIiRbLUp3Vor+RLAjcQB8nEiWZBcCw24LPBRtwxTxpvxk+lVPERX5JFEQlnK666irs27cPI0aMUPa99tprmDZtGnJycuBwONC7d28sXboU55xzTrRjJYSQmGDVRsCwBEsjM07GWXahWyCQRnKK6nvlqn8BAyaFPlcteBpVqqPjRCSiaoDpcDhQUKBV96mpqfjrX/+Kv/71r1ENjBBCmgorF8kq5B1JxsnoQIVugUAaSX11cLshF0kWToIdsDfiq4+OEwnARX4JISctZVV1WL27EmVVdZr9Vg0wPRaCJ7qMk3WpLtRYiQXu4+bbZijNLxvhNgF0nIhCzFZLcrvd2LRpE/bv3w9RFNGpUycMHDgQTmcjpn0SQkiULFlfiplvbYVfBGwCUDyuNyYO7gLA2v2xcpXk1gQuhw31Xr9liwFDHsqic7jVWIkF9cdU2w0IJ2+0womOE5GIWji53W489NBD+Nvf/obq6mrNsfT0dNx000148MEH4XI18h8rIYRESFlVnSJEAMAvArPe2obzT+uAjpkpui7eoTt8A+b9l2ThZNU53Gp5FvV2Q2MlFtRH4DjJgqcx+SaAjhNRiEo4nThxAhdffDG+/PJLiKKI9u3bo7CwEACwd+9e/PTTT3jsscfwxRdfYMWKFUhObkS3VkIIiZA9lTXQ6Rb4RBF7K2vRMTNFt25c+EuuyGIoOcmO6hPeBjqQW83OC243NFZigcZxOhb6PEDlODWyCiILJ79Xam3QmJwUOSmIKuP0l7/8BV988QV69OiBd999F4cPH8b69euxfv16HD58GO+99x5OO+00rF69Go899lisxkwIIZZ0zU6DTdDuswsCCrOlRrzWfZxCCyCvSjhJ51qU6qyC5KrtrtlpECzGSixwq8RS2BmnRv4Bry7x+ViuS2SiEk6LFi1CmzZt8Mknn+Cyyy4zHL/00ktRUlKC1NRUvP7669HcihBCwqZjZgqKx/VWngsC8Oi4XoqDo3Z//CLg18yOsyqxSa9zOaRfnWbr2DntNsPr1K/Vb3fMTMHvzu2qPLcLgmasxILGZJwaW6pTv445p4Qm6kV+R44cifz8/JDn5Ofn44ILLkBpaWk0tyKEkIiYOLgL8jIkd2HWJT01YWtDGc0iq+Q1OeZKsgWeG2fcyaLK0MfJYlbduT06AJCC4V/cO5LB8HBpTMapseFwuwOwBcpzzDklNFEJp7Zt2yIlpeG/ipKTk9G2bdtobkUIIRHjEyWBkuZK0uy3anKpn/Fm1gDT5bAbj8luVKCMZ1W609/D45We+0UgJ51Z0LCJJOMUbTsCgAFxAiBK4TRq1CisWrUK9fWhbcsTJ07g888/xwUXXBDNrQghJGJkgWQllPTPDcfMHCcTVymYf7IZXieNIfQ9PJr2COwqHjaR9HFSSnVRtMhhSwKCKIXTn//8Z3g8HlxzzTU4dOiQ4XhlZSV+/etfw+Px4JFHHon4+s899xwKCwuRnJyMoqIirFu3zvL8pUuXomfPnkhOTkbv3r3xwQcfaI4LgmD68/jjjyvnFBYWGo7PmTMn4rETQloe2ckxdvXWN720WHPOpFmmLJy8Jhkn5VgE4shN4dQ41J3Dw+7jFIWjR8eJIMJ2BH/6058M+y677DK8+uqrWL58OS6++GJ07SqFHPfs2YOPPvoIdXV1mDRpEl599VXcf//9Yd9ryZIlmDFjBubPn4+ioiLMmzcPo0ePxq5du5CTk2M4f/Xq1bj66qtRXFyMyy+/HIsWLcLYsWOxadMm9OrVCwBQVlamec2HH36IKVOmYPz48Yb3OXXqVOV5enp62OMmhMQPssvjbqhXk1VbAZ+ZOAo9q87smP46+vt7LI4RCyLJOPnc0mNj2xEAdJwIgAiF04MPPghBECCKwf+xhcA82traWrz99tumr1u4cCEEQYhIOD355JOYOnUqJk+eDACYP38+3n//fSxYsAD33nuv4fynn34aY8aMwd133w0AePjhh7FixQo8++yzmD9/PgAgLy9P85p33nkHI0eORLdu3TT709PTDeeGor6+XlOq1DcBJYS0DKIoKk6S1Qw3QNdjyar/kqEcZxRcyUnm4XC1y2V1fzpOYSKKEc6qC7hEjZ1VB9BxIgAiFE6zZ89uqnFocLvd2LhxI2bOnKnss9lsGDVqFNasWWP6mjVr1mDGjBmafaNHjw4p5ioqKvD+++9j4cKFhmNz5szBww8/jC5duuCaa67B9OnT4XCYf1TFxcV46KGHwnxnhJDmwucXIf+N1+ACvP7Q+SOz9eiCfZzMRJV0TF3+E0VR6ypZLgBM4RQW3nrA7wk+d4fbADMa4SQ7Tu7GX4O0euJSOFVWVsLn8yE3N1ezPzc3Fzt37jR9TXl5uen55eXlpucvXLgQ6enpGDdunGb/bbfdhgEDBqBdu3ZYvXo1Zs6cibKyMjz55JOm15k5c6ZGsFVXV6Nz584NvkdCSNOiFioNl+rUAsiicaWuj5N5GS/gOJkcM7ufND6W6iJGX5pryHFSSnV0nEh0JGzP+AULFuDaa681LAOjFkF9+vSB0+nEjTfeiOLiYtP19lwuF9fhIyQO0QSuvQ2V6kJ3AFc7QME+TsaWA4ZWBZZdxTmrLmrqdbEIv0dylUIJI1nsRBUOZ8aJxFg4lZeXY//+/QCAgoICdOzYsVHXyc7Oht1uR0VFhWZ/RUVFyOxRXl5e2Od//vnn2LVrF5YsWdLgWIqKiuD1erF3716cfvrpEbwLQkhLYiVGDKUyi/yReQDcpB2BRcbJcH/9c2/wudtL4RQWssOUmg3UVgb3hRROAccpmnYEcj6KjlNCE1U7ApmXXnoJPXv2REFBAYqKilBUVIROnTrhjDPOwIIFCyK+ntPpxMCBA1FSUqLs8/v9KCkpwdChQ01fM3ToUM35ALBixQrT81966SUMHDgQffv2bXAsmzdvhs1mM53JRwiJX6yEk6XjZDHjzdBywCrjpFlixXohYTpOjUAOhqe0DbpIVjknxXGKRcaJwimRidpxmjp1KhYsWKDMtGvXrh0A4MiRI9i1axemTp2KNWvW4B//+EdE150xYwauu+46DBo0CEOGDMG8efNQU1OjzLKbNGkSCgoKUFxcDAC4/fbbMXz4cDzxxBO47LLLsHjxYmzYsAEvvPCC5rrV1dVYunQpnnjiCcM916xZg6+++gojR45Eeno61qxZg+nTp+PXv/41O58T0spQl+f0GSdD6cxk5pzTboPb59cGwH2hWw5YNcc0dCP3M+MUNXLGydUGcLaRxIxVzimmGSeW6hKZqBynpUuX4qWXXkJWVhbmzp2Ln3/+GZWVlaisrMTRo0fxxBNPoG3btliwYAHefPPNiK49ceJEzJ07Fw888AD69euHzZs3Y9myZUoAvLS0VNOXadiwYVi0aBFeeOEF9O3bF2+++SbefvttpYeTzOLFiyGKIq6++mrDPV0uFxYvXozhw4fjrLPOwiOPPILp06cbxBchJP7RNpUM7fAAIZpcBkpupo6TWTsCq/yThYulHw8dpzCRHSdXuvQDWPdyinaRX4COEwEQpeP097//HQ6HAytWrMCAAQM0xzIyMjB9+nSMGDECRUVF+Pvf/47/+7//i+j606ZNw7Rp00yPrVy50rBvwoQJmDBhguU1b7jhBtxwww2mxwYMGIC1a9dGNEZCSHyiESNefanOoldT4FhKkh3HTnh15bhAjkl2nEwaZyab5p/C7yOld8dICGTh5EyXXCfA2nGKSamOjhOJ0nH6+uuvMXz4cINoUtO/f38MHz4cmzZtiuZWhBASEZYZpzAW8g32agrPcTKbcSdHGAztEKxm1TEcHh5qx8kpO04WGaeYlOroOJEohVNNTU1YoemcnBzU1NREcytCCIkIKxfH0MfJbxRZySalOo8u42QWDpczTkBQTBmFmi7j5GXGKWLUGadIHKeYdA6n45TIRCWc8vLy8PXXXzd43tdff21oTkkIIU2JVoyEP6vO2B28cY6T+jgzTk2AxnEKCCfLjBMbYJLYEJVwGjlyJHbt2oU5c+aEPKe4uBi7du3ChRdeGM2tCCEkIjxW4XDLPk4B4eQwaSugc5VEEfAH9um7igNBMdVgHydmnCJHyTiF6Tj5YrnkCh2nRCaqcPi9996LJUuW4I9//CP+85//YNKkSejatSsA4IcffsDChQuxadMmJCcn45577onJgAkhJBwa3cdJDoA7A+U4jRsliyOtq+S0CQanSv1aY/sDOk5RozhOGeFlnJRZdVE0wKTjRBClcDr99NOxdOlSXHvttVi/fj02bNigOS6KIjIyMvD666+z6zYhpFnRuDgNzKozDYc7LFoOmOaYjMdkEdZQOF3Tx4nh8PCIOOMkO05ccoVER9QNMC+77DJ8++23eOGFF/DZZ5/hwIEDAKQlV0aMGIGpU6ey6zYhpNnRNpUMf8kV2X1KTjIGwIOukl4c2ZVjTrsNNgHwiypR1UDGyWtRViQhiDjjJAsnOk4kOqISTqtWrYLdbsc555yD++67D/fdd1+sxkUIIVGhdm6sOoUD+nC4dladmRulLtUFc0zSo90mwGGTuo57Q82q84fOOOm7jJMQyO6SJuNk1Y6AjhOJDVGFw0eMGIH7778/VmMhhJCYoXGRQpTqguLIJBxu4Ti5HDYIgnwfMXBMOs9hE+CwC5prGR0m7XNtqY6OU1iYZZyshJOyyC9n1ZHoiEo4tW3bFvn5+bEaCyGExAy1GHEbZtVJIifFZHkUw7HAa0VRVIST5CppxZF8DYfdBrt8LHAtqzA4oBV2DIeHiRwEV2ecLEt1cufwaEp1dJxIlMKpX79++O6772I1FkIIiRlWYkS9rIr+uLyMin7NObW4ctiM4shMVOkbYCab9H/S35/CKQxE0TzjFCocLooxKtXRcSJRCqfbbrsN69evx/vvvx+r8RBCSEywEiNKd3CTlgMeXQBcL4wAwG6Xckzq/fI1HDYBdptWIHl0Qs3KgWIfpzDw1gN+r7TtDMNx8nmC21G1I6DjRKIMh/fv3x/Tpk3Dr371K1x//fUYP348CgsLkZKSYnp+ly5dorkdIYSEjfVadTrHySTHpBc5WsdJUDlOWlfJbhOQZNc6TvL9U50O/FzrMRFyoWcAEhPUWSZnG1XGKYRwUjtE7BxOoiQq4SQ3uxRFES+99BJeeumlkOcKggCv1xvN7QghJGy07QikBXcFQc4lmeeYpHPlspq2VOdTnWNWjpMfk1QZJ/layv2cxkyVNFZ1kJ3h8Aapr5YenW0Am03rOIkilOS+jLzALxBlOJyOE4lSOHXu3Fn5RUQIIfGEmavjdAjKNqASMqaz6rQz7tSz6zSOk86RMhNV+lKd1ZIrdJzCQGl+GXCa5IwTRMBdExRSMrJDZEuShFZjkR0nH4VTIhOVcNq7d2+MhkEIIbFF34LA4/PD6dDmlpKVUp3JIr/KWnVaR8luEyAIJgFwTcbJvIwXUjh5mXGKCPU6dQDgTAMgQBJOx02EUwyC4erX+9yA3x+dCCOtFv5XJ4SclFi5OvpZdZrO3TpRpV9SRRZFDrtNc74246QNjivdyE3C6OrjZuMmJtTrHCdBsJ5ZJ5fqomlFoH89XaeEhcKJEHJSou/d5DYph+kzTn6/CDHwMn0DTLWjpH4ML+MkC7XgbDtRDPaH0o7NmHEqq6rD6t2VKKuqC/v9n9TUq3o4ySg5J5MmmHKpLpp8E6B1rBgQT1iiXqsOACorK/Hiiy9i5cqV2L9/P0RRRKdOnTBy5Ej89re/5Vp1hJBmx2rmmjKrzqkt1aln1+l7LqkdJfVjOBknfalOPj/JLlj2dAKAJetLMfOtrfCLgE0Aisf1xsTBCT5D2a3qGi5j5TjJXcOjmVEHADYHINgA0c+AeAITtXB65513MHnyZFRVVSl/QQHAjh078PHHH2POnDl4+eWX8atf/SraWxFCSNhY5YgMy6ronCHtMa2j5NAJJ59f6igu//ozyzjpw+jydZPsxnG6VeMsq6pTRBMgLRw8661tOP+0DuiYad72JSFQN7+UkbfNejkpXcOjFE6CILlOnlo6TglMVMLpq6++woQJE+D1ejFo0CBMmjRJaVGwd+9evPrqq1i/fj0mTpyIzz//HEVFRTEZNCGENITlzDVDWNvYqylZF+QOOkqSE6WsR+f3a2bc2e2Ckn8KBse1uSl5DCmwG0pz6nHuqayBzpCCTxSxt7I2wYWTaoFfGVc4GacohZN8DU8tHacEJirh9Kc//Qk+nw+PP/447rzzTsPxW265BU899RTuvPNOPPzww3jvvfeiuR0hhBgoq6rDnsoadM1O04gJt64fkpwjUrtDKU7tLDt1SFwu1ekzTEHHKXhc3VU8yWZTztGLLk2pTlkAOHRJsWt2GmwCNOLJLggozE4N+XkkBGaOk9wE0zTjFBA50WacADbBJNGFw1evXo1evXqZiiaZ6dOno3fv3vjyyy+juRUhhBhYsr4Uw+Z8gmv+8RXOmfMJlqwvVY6FEiTq/aG6g9sEKDPj5CB3cBFfbTjc6xc1TpVdVarTdw53OmxKb0ZZpFk5Yx0zU3D7qB7Kc5sAPDquV2K7TYB2gV8ZK8cpVqU69TXoOCUsUQknj8eD3r17N3her1694PF4GjyPEELCRc7/iLr8jzzzzLiwr9b9AUKX4xx2G5JUPXokV0k6xyzjpM5GOVThcCVY7gvOuEtS2hgERJU3dKkOAC44PVfZfvvmcxgMB1SOk0k43CzjFNNSHR2nRCcq4dSzZ0/s27evwfMOHDiA008/PZpbEUKIBqv8D2ASuvYZy3H6JVDkYw6bALs9uCqC1y8qjpUsmOT16Dy+YMZJEACbzZhx8qhEV5IyG8+vGZeMPvNU7/Up25mpSeYfRqIRacYppqU6Ok6JTlTC6cYbb8QXX3yBzz77LOQ5n332GT7//HPceOON0dyKEEI0yPkfNer8jzF0LRr2y93B9W6U2jWSXuNXZZykX5tmGSfZpXLoxJFH5TgpjTNDZpy0z+tVs+zqdd3QE5bGZpyibYAJ0HEi0QmnqVOn4o477sBll12Gu+66C1u2bMGxY8dw7NgxbNmyBXfffTcuu+wy3HHHHbjhhhtiNWZCCEHHzBQ8+qtgVECf/wnVjsCrcn8cimtkLKmphZNPlWNSOoerM046N8qw5EpgLEl2QXGq5HE0JJzU7QnqPRROAFRr1YU7qy5GS66oqS6L3bVIqyKqWXV2e3CGyFNPPYWnnnrK9Lx58+Zh3rx5mn2CIMDr9UZze0JIgjN+YCfc+9ZWAMAjY7WNIUMJEqUDuF1QBcC1IkYd8Jb2qzJOdpOMk27GXahFfh12m+JYhZpV5/bqHadgqc7t84EghONkkXFSSnVROk6bXgX2fSVtf/gHICkZGDApumuSVkdUjpMoio3+8fv5lxMhJDrUpatUl11zTBYrzoA4cutmsanbBuibXCbZbRAErTukd5XUjpMsquRclMNu3nVc7XLJ45HbJrgc2hKe2Xuk4xRAWeRX3QAzjIxTNI5T1QHg3dtVO0Tg3Tuk/SShiMpxovghhLQk9Z6gA6PP/8jOTarLDnet39Dk0qFqVKlfqFftKnl8UilOn2NSHCefX+U4mWeczGbV6R2nNJcD9V63MeOkEkvMOAEQxcgzTr4YZJyO7JaWWtGMxQcc+QHILGj8dUmrg4v8EkJaLVbBaUWQOB2a5/Kjw24LOkq6jJMyc84WdI7CyTjpWxV4dX2cHHbBJDgeEHiqGX5+1XRBdalOvZ2weE9IggWIoI9TDGbVtesurVOnRrAD7bo1/pqkVULhRAhptWjLWFpRoRck+oxTkk1QHCK9G5WkW1bF51fNqlPcqOCsulCiKrjIb9CRcuj7OOkEnnTMXBDScULQbYIAJKUF94eTcYqmVJdZAFzxtHRf+f5XzKPblIBQOBFCWi1aN8a8H1KqSxIkbv2sOrXjZBIOlx6Dwkp/LPhaY3DckHEym1Wn9HGSx6lax86ndpyYcdKg5JvaAKompeFlnKIMhw+YBFz0J2m78FwGwxMUCidCSKvFKv/jVpwc7UK+Hp8x42QMh+vEkSrjZCjH+YylulB9nBx29Tp2cudwE8cphMtU76NwMs03AcGMk7cO8OlmbPti2ACzfXfp0VMb/bVIq4TCiRDSajnhMc//iKKoKtVpM07BUp1xMV61wAHUWSW/RTnOrDmmro+TX57JpxJrukB6cpJNaeipDohrXDUPM05B4dRGu1/9XB8Q98ZwyZWUdtJj7ZHor0VaJRROhJBWS6gyls8vKmvYpbm0GSePqqyWFKJtQLAcFzweqnO41y8qeaWQGSeVINMH0t0mM+7Uy7BwVp0OpfmlznFyuABbYEkafbkulov8pgaEUx2FU6JC4UQIabVog9NBN0adEZIdJ7ehAaZNFf6W+svpS3XqPk8Gx0n12oYyTmZiTRFyXjn/ZFN6ToXMOFE4aTNOelwhAuKxXORXdpxOVBlLgiQhiGvh9Nxzz6GwsBDJyckoKirCunXrLM9funQpevbsieTkZPTu3RsffPCB5vj1118PQRA0P2PGjNGcc+TIEVx77bXIyMhAVlYWpkyZguPHTcKGhJAWR1vGCooKtWOjZJy8uqC2TVBmzwFyADxUyc0fsnO4ZTsCRRypy4M6UeULCqckh03zOsN7ZDuC0BknIJhzMjhOMcw4pbQNbp84Gv31SKsjboXTkiVLMGPGDMyePRubNm1C3759MXr0aBw6dMj0/NWrV+Pqq6/GlClT8PXXX2Ps2LEYO3Ystm3bpjlvzJgxKCsrU37+9a9/aY5fe+212L59O1asWIH33nsPq1at4jp7hMQpocpY6oyQvh2Bx68OhweXVdGII32pzme9rIq+jOcIlXFyGGfVeVQz7uTXqYUf16rTYSWcFMdJn3GKYanO7gBcmdI2c04JSdwKpyeffBJTp07F5MmTceaZZ2L+/PlITU3FggULTM9/+umnMWbMGNx9990444wz8PDDD2PAgAF49tlnNee5XC7k5eUpP23bBv962LFjB5YtW4YXX3wRRUVFOPfcc/HMM89g8eLFOHjwoOl96+vrUV1drfkhhDQPoUt1QTHidGhLY16Vw6MWThrHycRV8inNMY1ulD7jZNdlnNROlkNXjjPLOLFUZ0GojJN6n95ximWpDgBSA98bzDklJHEpnNxuNzZu3IhRo0Yp+2w2G0aNGoU1a9aYvmbNmjWa8wFg9OjRhvNXrlyJnJwcnH766bjpppvw008/aa6RlZWFQYMGKftGjRoFm82Gr776yvS+xcXFyMzMVH46d+4c8fslhDSOUH2clNKYiRhRl9XUpTqvz6+IKtk5UrtDHp3jpHaj9GU8Q+hc3cdJJbikcakyTjqRp39f+gWAExKrjFOoJpiy4xSLUh3AmXUJTlwKp8rKSvh8PuTm5mr25+bmory83PQ15eXlDZ4/ZswYvPrqqygpKcFf/vIXfPbZZ7jkkkvgC6w4Xl5ejpycHM01HA4H2rVrF/K+M2fORFVVlfKzb9++iN8vIaRxhJpV51bnhvRhbFUDTJtNUFoAqJdVUULecgNM9UK+JsuqNJhx8hsD6fo+TuoynidER3RmnBB0k6xKdYaMU6wdJ86sS2SiWuS3tXHVVVcp271790afPn3QvXt3rFy5EhdeeGGjrulyueByxeh/RkJIRGgzTkFRoWSKVIFrQx8n1Qw4t9cPj9livaolV8LJONl1GSef3nFS9XHSr53nDNWOgKU6LfWBOIRVOFyfcVIW+aXjRKInLh2n7Oxs2O12VFRUaPZXVFQgLy/P9DV5eXkRnQ8A3bp1Q3Z2Nr7//nvlGvrwudfrxZEjRyyvQwhpGRou1QVLY4ZFfuVynKrlgL47uLrLt5JxMsk/6ct46mN+vwh5zV6H3aa5H8CMU8RYZpxCOU7yrLool1yRoeOU0MSlcHI6nRg4cCBKSkqUfX6/HyUlJRg6dKjpa4YOHao5HwBWrFgR8nwA2L9/P3766Sd07NhRucbRo0exceNG5ZxPPvkEfr8fRUVF0bwlQkgTcCLErDqzUp0sUAzlOFUnb0VU6Y6pF/JNMrhKfvjkdex0GSefX9Qs2Kte5sVjlnGyGzNObnYO12LZjiBUxikGi/yqoeOU0MSlcAKAGTNm4B//+AcWLlyIHTt24KabbkJNTQ0mT54MAJg0aRJmzpypnH/77bdj2bJleOKJJ7Bz5048+OCD2LBhA6ZNmwYAOH78OO6++26sXbsWe/fuRUlJCX75y1/i1FNPxejRowEAZ5xxBsaMGYOpU6di3bp1+PLLLzFt2jRcddVVyM/Pb/4PgRBiSajlSNSz6pRSnbzIr1I20wbAPQ2sOeczzJwztipI0jlOHp9fuaZ8T4euc7h2rFp3THqPdJw0yG6SVQNMtePk9wN+j7TNjBOJAXGbcZo4cSIOHz6MBx54AOXl5ejXrx+WLVumBMBLS0thU82IGTZsGBYtWoT77rsPs2bNQo8ePfD222+jV69eAAC73Y4tW7Zg4cKFOHr0KPLz83HxxRfj4Ycf1mSUXn/9dUybNg0XXnghbDYbxo8fj7/+9a/N++YJIWERSlRoXZxQ69FpA+CaXk12m+bRE2YfJ7OMk1o4OezBmXz6Pk5Oh8odC/G+OKsOYTpOqoyTnG8CYleqk5tg1v4cm+uRVkXcCicAmDZtmuIY6Vm5cqVh34QJEzBhwgTT81NSUrB8+fIG79muXTssWrQoonESQlqGhoSTWowo4XBVcBwICiiPX9WOwG4mjrTlOMU58htFlTb/pCrV2QTV/QIZJ4vWCQBn1RlwWzXANOnj5FUJp1iV6ug4JTRxW6ojhJCGCCUqzMSI26SPk3yOvD+UqySJqlDiKHjMLOOkfp0gqBYWNhFyZhknlupUiGLkGSe1cLInxWYczDglNBROhJBWi9ZlElWdulW5IcP0f105TpVj8ipLrmhLdT7NIr82zTmaBpiGjJNoCJwnWWWcdGVFURRDtiZISDx1gBj4DMLNOPlUwXBBML6mMagdJ1G0PpecdFA4EUJaLfrSlfxc241bK0aCDo925pxH5Q4l2fWOk7FVgXpZFUP/J9WMO48ujK5uqgkEWyeY9XHy+ETN93LCz6qT3SYIgDPNeFzp42TiOMWqazgQdJx8bsBdE7vrklYBhRMhpNWid2DkhphmTSXlWXXqdeMA7bIqBlfJbnSj7PoZdyYdx+0Wx/SL/GpaJygzAMXA+9MLwwR3nNQ9nMzcI8VxUoXDlVYEMQqGA5Jok4PmzDklHBROhMSaqgPAnlXSI4kJZVV1WL27EmVVdZr96s7hQFBYmDWVDGaczAPgUjsCnRtlMnNOPibnmdQ5JkVUqfs4qYSR+phHX6pzBDNOskjTCyW3zw8xkUtDVl3DAW3GSf6cfDHu4QRIoi21vbTNnFPCEdez6ghpdWx6FXj3dimHIdiAK54GBkxq6VG1apasL8XMt7bCLwI2ASge1xsTB3cBYFGq8wbFiHFWnXHJFWl/cCFfvQDymGacgq6SPuMUzE2py3/61+kaYNoE5ZjsQumFkyhKY5HLjycVVQeAI7uBdt2BzALzc6x6OAFBx8nvlZympOTYdw2XSWkHHCuj45SA0HEiJFZUHQiKJkB6fPcOOk9RUFZVp4gmAPCLwKy3tinOk6FU59WJEbtgmKlmWHJFFdb26YLjSSqREzrjZFzjTjPjzq91uEKF1ZMcJqW6QKbJ5Qj+qj4pWxJsehWY1wtYeIX0uOlV8/OsZtQBWkEll/Vi3TVcRg6I03FKOCicCIkVR3YHRZOM6AOO/NAy4zkJ2FNZo4gmGZ8oYm9lLQDtkitAiIyTPhxuCIAHhYwSHNd3Bzcpx2naGOibaqrKeB5dGwOlj5O8Vp3sjtmN7pjsPLVxBYsDJ13O6ecfgf/eFt4fHErGKYTjZLMDSanStiyyfG7pMZYZJyDYBLOOTTATDQonQmJFu+4AdCUUwQ6069YiwzkZ6JqdBpvuI7ULAgqzpS/HUKW6UAvniqKocoB0jpNfXY7TNbnUtCoIHQAPBseNgitYqjPvHC65Y1qRJwvB5CQ7nAHX6aQSTrs/kVwm6NRxqD84Gso4AcZeTt4T0mMsZ9UBdJwSGAonQmJFZgFwimpRacEGXDEvdF6DNEjHzBTMvPQM5blNAB4d1wsdM1MABEVEesCRMZbqgsIJCHTyNqxHFxQyofNIZuLI2FXcLOPkMZTqgtdUj9WsHYH8flwOm1Kua9UtCeSJE3s+B16/Evjnr4CjPxrPC/UHh+wiOS2Ek76Xk1d2nGIsnJQmmD/F9rok7mE4nJBY4vMGtycsBM78RcuN5STh4jNz8cj7OwAAz187AKN7dQQQaA4ZEBYZKUk4Vu81CYcHM06ArhynX3LFpFmlQ1WO84VsOaDOOIXuKq5vqhmcVRd6yRX5/TgdNrgcdhyD1+A4lVXVYU9lDbpmpymCMi5RT5yQsTmAwVOBtqcAy+6V9ln9wVGvakcQilCOU6yFE5ddSVgonAiJFaIIHNoRfC5nK0hU1NQHHZYUp3nWJyMlCQeO1imlLWXmnM2mCB1ACl3rF/lNUs2q0wfAg+6QiQCyGZdVsevEmHRM2+JACZzr+zhpwuHaUp0rya44TuqFfq1mHMYV+okTMpPeAQrPlbbX/UPKCY6dD/SdaH4dJRweIuMEqNarkzNOTTirDmCpLgFhqY6QWFG1X7sqezVn08WCOk/Qxat1B7fVwikzRVuqUzeVdKhCUm6faiFfXVsBj09U2hEYZsf5QncON1vkV51x0l9TFkdev5S5ssw4qUt1SdqMU0MzDuMKs4kTgHa5kuzTpEd112897jAcJ5eue7hSqmuiWXV0nBIOCidCYsWhb7TPqw+2zDhOMmrdPtNtuYxlE4C0gBN1wmMs1QmCtiVByD5OqgaYymK96pB3iM7hPtVadfpjohjMJBkbbkoOl6wdzDJObl+wHYH8HuT33dCMw7ginIkTbQulx5/3hL6OHA4P1cdJfay+iUt1dJwSFgonQmKFIpwCXxB0nGJCSOEkl7EcdiQn2aV9unC4UzdzzuPzGxb5VZfjfKoSn3SOVuSo95k5Tvqu4kBQzCUp91MJNZXyMWtHEHyPNrjk9xjY19CMw7giswDI7RV8LtiNOaZ2XaXHn/eGvo6SccoIfY5+2RVfE4XDFceJ7QgSDQonQmKFnG8qGCA9svFlTFCX58xKda4k1YwzZZFf7ew4JTukKtUl6cpqZuFws4V87TadAFLln/RdxYFgryl9Hyev3684S/L1jOHwoDh06doRdMxMwR9Gn668Xj/jMP4IiMRRDwJ3bDV21JcdpyN7Q18inIyTEg4PnNtU7Qhkx6m+GvB5YnttEtdQOBESKyoCjtOpF0mPLNXFhIZKdZr8j8eYcVI/ur3qRXeNi/waw+EmTS5NMk7618liDDA6Thqh5lULJ0FZSiWYcVK9R504BIALzshVtp+4sl98BsMBqWb5c6DtwOmXms+YU0p1e7XZJzWRZJwM7QhiHQ7PguIu03VKKCicCIkFPi9QuUva7hEQTscr+JdoDKhTiSX19gmP2o0xL9XJokidcTK2HAgKIH0Zz6zlgFmOSRZq+mMAcMIrCyfdTD1V2TDJLmWxggJPP6vOprxH9ay6mvqgA5fsiONf53U/Bx2grBDiLusU6dF9LHRuSOnjFI7jFBBOTbHILyB1KU/OlLaZc0oo4vj/NEJaEUd2S1mKpDQgv39g6rMoLQJKokLdjiCk42Qo1QUyTg5jxklpcqlrK6BZV87QjsDY5FKdY6r3aoWazSZAkM0It7ZTudLHya+eUad1xoyz6uyGWXX6z6NGtR13HC2VHtNygKQQpcSkZCA9X9oOFRCPKOOk7xweY8cJ4My6BIXCiZBYIAfDc86Q/hJNl5o0slwXPbWqdgQ1DWacAo6TV5dxUs1WMy66a9JywLCOnbHEp3aV5JlzdlWJTj5ucJxUs+rcvtBCTR4vEGiAaTeW6tSOkzr/FXfI3cFDuU0yVgFxUQy6VmFlnJq4czjAmXUJCoUTIbFADobnBJYHyewkPXJmXdSEKtWpZ9XpZ5yFyjhJAXDzdgTqY/oeTz6T5ph2m9FxUosp+RpyxknfOVwUg8eCzpi+AWboHBegdZyO18ezcAo4Tm1PsT5PCYibOE6e2mAvqLAyTroGmLEu1QF0nBIUCidCYkHFdukx9yzpMSNQcuDMuqgJKxweolSnuDyqjtyhGmCadQ53mLQO0C/kq76vXSOcpG1Z6OgzVUBQCBqdMf2sOpshxwVoxVJtfSso1TXkOKkD4npkISTYgCSLlgsGx6mJOocDdJwSFAonQmKB3nGShRNLdVGjLkFpHCdNV23rPk7qjtweXTlOPXMuVDsCs5lz6h5KsjhKUokiOQNVp+/jpBJctSGEk2nGyWRWnfqzqYnrUl24wsmiVCdnlpzpUAJkZhgyTnScSGyhcCIkWjx1wJEfpO2cM6XHDJbqYoU2AG2ScTLpcaSU4xx6J0fVx8mwyK+6q7gxVO7TOU7SLDhtjsk046SU6oyOU1A4GWf/Se8n4KqZ5LgAXXA+nh0nuRVB2I6TSalO7hpuVaYDQjtOsW5HANBxSlAonAiJlsM7AYhAajbQJkfapzhOFE7RUhsy4yRtJ5s0wHR7zTNObq9fWaZECWSrllXRiyN9Tkm9T32eR9fjyey1ZqFyeR2+YKNObR8nt4mr5tbMqmsFjpMoqhynQutz5XB49UHAc0J7TOnhZBEMB7Rr1fn9qkV+myAcntpWemQfp4SCwomQaNGX6QCW6mJIXciMk0kfJ495HydZmNSpBZDOcVKLI/2SK2qXR92GQC2iAG3Gya44TtpO5WqnSn4/hnC4T1oAWL6vU7NWncpxCvHZxBW1RwBPjbQtT5oIRWr7gGOkElsyStfwMB0nQLovZ9WRGEPhREi0yMFwuUwHBL8gjpWzCWaU1ISz5EpgxtkJfR8nOePk0AoVwDirTi2q7Eo7AqOocpiII/01pevqSnV2dRkvcM8QGSfpPYi6mYMmGSdVOLwmXmfVHd0rPbbJk3o1WSEIoQPiSsapAccpKUUKkMuvaapFfgFmnBIUCidCokV2nHJVwik1G7AlQWqCWd4iwzpZCOk4qafqy6U6jzbjFCyP2Qyvl/cl6Zwh6Zi2VKdai1dXjtMKJ7tJGS8YDjeKqroQGSfpPfjNZw56WpnjFG4rApmQwinMjJMgSAFyQCrXNWU7AjpOCQmFEyHRopTqVMLJZmO5LkaoBYHXLwaXIzEr1YVYckUp1akcK73jpCnV6cp4aszKcTJqIZVk6OOkOha4fq1+xp3qfpJwCv0egVaScQp3Rp1MqIB4OOvUySgz6441bTsCteMUan09ctJB4URINNT9DBwLCKMOPbXHMgILmVbvb94xnWToO2LLLk1YS66EKNXZbdLacIDR/QGCrQb0wkn9OsDMcQqdcdKW6rT3lMdpVy3V4lYLJ5MAPNCEs+qqDgB7VsWmD1mkwilU9/BwM06AdmadMquuCTNOfm9wfOSkx9HSAyCkVSO7TZldgGTd+ll0nKLGo1oIV6bG7UVmapJmAdxk1TpuPr+olNb02SFZqJg6Q6qlURRRZRH+BrRBcUArtBy6VgXqMpziOLm1s+rkhX7dXul9a2fVBWcGyjSJ47TpVeDd26Uu3YINuOJpYMCkxl8v3FYEMqG6h4ezwK+MupeTrwnD4c5UqQToPSG5TvrfAeSkhI4TIdGgXqNOT6bsOFE4NRZ1mS7VadfsCzWrTnabAGMfJ33DScDoOKnFkt5x0jtMSTphZdaqQK7gmIkqZTyO4OuUXk7eYMZJmlVnLNXpF0AWoy0XVR0IiiZAenz3juicJ8VxCjfjpHKc1O+nPoJSncZxkhf5bQLhBDDnlIBQOBESDRUB4aQOhsvIpboqluoai9ohykhO0uzTlOpUM87UwkKfcapVZrgJhnPM1pvTCyOD42Tx3CCqTEp1+gaY6m2Pzx9iVp254+Tzi5pjjeLI7qBokhF9wQavkaLp4RSm45TZWXK6vHXA8UPB/Uo4PBzHKSCuTlQF309TOE6A1EIB4My6BILCiZBoMAuGy7BUFzVy+SnFaVc5TtI+bf5HOuYXzfsxORVXSXqtxlUyCJzwwt8NHTe0KjALhwfGY1bG02ScNLPq1J3UtbkmfUuCsqo6rN5dibKqOoRFu+4A9IF4AWjXLbzX66k5LAkgCA33cJJxOIOd99UBcSUcHkY5TBZONZWq6zaVcAo0waxlE8xEgRknQhqLKAKH5B5OJqW6DJbqIqGsqg57KmvQNTsNHTNTAATdpTSnA6kuXalO7caoSl3HTsjiSIDNpnOcTBweYwDc6AwFzw0tsvTPjccsyoN2o6hye/1w+0Iv8uvx+TV5J/n9BfwPLFlfiplvbYVflMLuxeN6Y+LgBlyfzALJGTr6Y3CfzQHY7NavC4XsNmXkRyZc2hUCVaVSua7L2dK+SDJO8jm1PwX3NXWpjo5TwkDHiZDGcqxMKgUIdiD7NONxWTgdLwd8cTpVPE5Ysr4Uw+Z8gmv+8RXOmfMJlqyXvnBloZPqtCM1yaHZZzarDgCO12sD10AwQ2QlVILPg8dsNkGzmK9V3ybpuDHjpBwz6ThulrmS76/OL7mSjOvxqfNfGcnSZyM7dGVVdYpoAiQnbtZb2xp2nn7aHRBNNuDKfwJ5/QC/B/jsMevXhUIWYOGW6WTMAuKRZJzkcl5twHES7IC9iXwCuSUBM04JQ1wLp+eeew6FhYVITk5GUVER1q1bZ3n+0qVL0bNnTyQnJ6N379744IMPlGMejwf33HMPevfujbS0NOTn52PSpEk4eFDrBhQWFkIQBM3PnDlzmuT9kVaOHAxvf6r5X9NpHaQmmKJfEk/EFPlLXjT5kleX6lJClOqSk+wQBEFZtuT4CVk4mZXGAkLF0lUK7RQ1VLrTiiydIFM9d+rGY1aqO64qu5nNqgvOyBOQlSr1KJLF1p7KGk3TTgDwiSL2VtbCki1vSI+nXgCc+QtgzKPS800LG5dzijTfJGPWBFNpR9AIx6mpynQAHacEJG6F05IlSzBjxgzMnj0bmzZtQt++fTF69GgcOnTI9PzVq1fj6quvxpQpU/D1119j7NixGDt2LLZt2wYAqK2txaZNm3D//fdj06ZNeOutt7Br1y784he/MFzrT3/6E8rKypSfW2+9tUnfK2mlWAXDgUATzI7SNst1IbH6kq9TOU5pgVKd3Ilbnf9RPx6vl5a4cWpmqslh7EAZz8JxMgqe8Po2ORro8WRWxqvzmDlOWuEkCNK1nKrsk98vKnmmVKfDkP/qmp0G3e1hFwQUZqciJKIIbFkibfeZKD0WngOcOkrqU/Tpo6FfG4pIWxHIqGfWyTQm4yS7QE3R/FKGjlPCEbfC6cknn8TUqVMxefJknHnmmZg/fz5SU1OxYMEC0/OffvppjBkzBnfffTfOOOMMPPzwwxgwYACeffZZAEBmZiZWrFiBK6+8EqeffjrOPvtsPPvss9i4cSNKS0s110pPT0deXp7yk5aW1uTvl7RCrILhMpxZ1yBds9MghPiSD5bqHEgJlOpkV+WEsuSKXfNYfcKkVKdbjy6SlgPhdgo3ZKV0z7W5KvM+TkCwrHj8hCfwvmwQBAGupGDOyO3zK59DmtOONJf2s+mYmYL7Lw/+uxQE4NFxvZTsmCn710th7KQ0oOdlwf0XPiA9bl0KlG0J/XozIm1FIKPvHi6Kjcs4yeHwplhuRYaOU8IRl8LJ7XZj48aNGDVqlLLPZrNh1KhRWLNmjelr1qxZozkfAEaPHh3yfACoqqqCIAjIysrS7J8zZw7at2+P/v374/HHH4fXGzqfUl9fj+rqas0PSRCsguEynFnXIB0zU3Dd0OAXq031JS/PgktVzaqrM5lVB6gcJwvhJDfTTDLJG8kYF+61moFnccwgslTj0XUVT3IEz5XdMdlxCgrD4OvrPX6ljJnqMjpOAHBBzxxl+5YR3RsOhstu0xlXAE7VH4sd+wJnjZO2P3nY+hp6Gluqk7uHH68A3LWAuwZAwJaMKOMkl+roOJHYEZfCqbKyEj6fD7m5uZr9ubm5KC83z4qUl5dHdP6JEydwzz334Oqrr0ZGRtD6ve2227B48WJ8+umnuPHGG/Hoo4/iD3/4Q8ixFhcXIzMzU/np3LlzuG+TtGb8PuDwLmk7HMeJwsmS3gVZyva8q/opX/LydHttOwJ5Vl0wHA4EBVQwHK4qxzlCC54kgzMUWkhF0n7Aqs2B3p0yyzgdU4STTbmXfIt6r09ZYiXN5UCaUw6HBwPjVXUeZbvBtpheN7DtLWm7z5XG4xfcJwWsv/sI+HF1Q1eT8PsbL5xS2gLJmdL2z3uDbpNgA5IsXDMZ2XHyBz6DpppRB9BxSkDiUjg1NR6PB1deeSVEUcTzzz+vOTZjxgyMGDECffr0we9//3s88cQTeOaZZ1BfX296rZkzZ6Kqqkr52bdvX3O8BdLS/LxX6kjsSAmWFczgenVhcVT1Ja8WHLXqdgQBcVBryDhpS3Vms+qcFuW4hloMmM14k9FnnELdQ38d/T1NM04B50wWhIIgaFoSyI6TulRXqwqUH631mG6bsrtE+uJvkwt0HW483r47MOA30vbHD4W3oG3NIcBXL4mdcHs4qVEHxNUL/OrrumboXammLNUpjhP7OCUKcSmcsrOzYbfbUVFRodlfUVGBvLw809fk5eWFdb4smn788UesWLFC4zaZUVRUBK/Xi71795oed7lcyMjI0PyQBKAiUKbrcLp1jxuW6sJC7Y6ov+TNSnW19V54fX54A4lyfThc7uOkDocbWw5YzKqzCHVHk3HSdiS3EmfSdo2uVAdA0yFdnf+Sg/OhHCf1tilyma7X/4Wetj/8HkmA7FsLfPFkw8uwKD2cCgB7kvW5ZigB8T3BruHOMMp0gDEH1ZSlupRAA0z3Mcm5Iyc9cSmcnE4nBg4ciJKSEmWf3+9HSUkJhg4davqaoUOHas4HgBUrVmjOl0XTd999h48//hjt27fXX8bA5s2bYbPZkJOT0+C5JIGQg+G5Z1mfx/XqwqKqNviFc7QuuK0u1aWoSnVu1Xp0sphINpTqQgunSGbVaV2l8I9F5jipMk4ObcbJqXHOgr2cZGGV5rIH3Ti14xSucDpRBewMtG7pOzH0eRn50iw7ACj5EzCvl7QgcCgaW6aTUTtOkfRwAowtC5rScUrOklw1AKij65QIxG3n8BkzZuC6667DoEGDMGTIEMybNw81NTWYPHkyAGDSpEkoKChAcXExAOD222/H8OHD8cQTT+Cyyy7D4sWLsWHDBrzwwgsAJNH0f//3f9i0aRPee+89+Hw+Jf/Url07OJ1OrFmzBl999RVGjhyJ9PR0rFmzBtOnT8evf/1rtG3btmU+CBKfWC3uq0Yu1R0rk5pgNlUTvlZOqC/5UO0I5K7hQFBMKKW6wGw0KzdI36hSEMwX4wW0/ZeiyThZlfzM3LFjulKderve69c6Tk7ZcQoKp+pwhdM3/5VKah16Anl9Qp9XdQDY/WnwubwAcPcLg38gqJFbCUQ6o05GDoirM07h9HACjI5TU7YjsNkk8VR3RPpJz23wJaR1E7e/xSdOnIjDhw/jgQceQHl5Ofr164dly5YpAfDS0lLYVL+Yhg0bhkWLFuG+++7DrFmz0KNHD7z99tvo1asXAODAgQP473//CwDo16+f5l6ffvopRowYAZfLhcWLF+PBBx9EfX09unbtiunTp2PGjBnN86ZJ66Hsf9JjWgNOZFoHackKv1eaIWT2BUO0ZSVVqa5WKdUF2xHUun2aBXkdinCSS1yBppIOo1MjYwiE22yKi2XZqymi5Vka7hweHE/oPk7q2XRKxsmjzTil6toRAMBRtYtnlXFSejddaZ0fsloA2OzfdawcpyN7tBmncDBknJowHA5IOae6I5xZlyDErXACgGnTpmHatGmmx1auXGnYN2HCBEyYMMH0/MLCQogNBBoHDBiAtWvXRjxOkmCsfynYX+bt30t/rQ+YZH6uzQ6k50vrblUfbBrhVHVA+lJr173VCrNQQWbNkiuyq1Lv1Sy3IiP3OToWVqnOWLqT40FWZbRIHCfjIr+he0dZCydVxklZdiU4qy7VFXSc1O0Iwso4Ve0H9n4hbfc2/92p0K67VJJSiyfBHnoB4FgJp6M/SuVEILweToCUqbK7pP83gaYXTpxZl1DEZcaJkLil6gDwwV3B53K5wiooqwTEm2Bm3aZXpazJwisazpzEMZpwuCrjZCac6jw+VQ8no6iQO4ebLbmiPLcKeVss7GvdDbyBPk5hro+n9HE6YeY4qTJODTpOwc+0+oQHfn17dgDY+iYAETjlnIYFTmYBcMXTkliSGfy70GK9sevUyWR0ktxanxuo/FbaF07XcBl1Wa8p2xEAqpl1P1mfR04KKJwIiQSrckUommpmXdUB4N3bg+MJR8TFKeqyUlVd0DWpVcLhqnYEbp/SNTzZRFSYNcB0OqzLaFbB7bA7h0fQx8mQcbJynDTiMNiOIBLHSRSDmangCQeADS9L230sQuFqBkwC7tgKnB7oLO49YX6e3w8cDbRmadvIjJPdAWQG+uKVb5Uewy3VAVp3qrkcJ5bqEgIKJ0IioV13ALociFW5Ami6mXWNEXFxiN8v6jJOQRFVp3ZVVO0IzB2nQKlObkcQYalOOdcwGy60q2S3Co5bhMwtO5CrZs7p34ec23LrHacGGmAanstO5dG90nNPHcImswAYPEXa/naZJJL0HC+Xmk8KgVJ1Y5HLdXL7j3DD4YBWZDVHxglgqS5BoHAiJBIyC4IL9wLSF8MV86yzRU21Xl1jRFwcctzt1Szyq55hZ9o53ONTrVNnnHEm93eyyjgZS3VWM+fCLNVZZJxsAmCzhXaczEp1MppZdeqMk0kfJ3U7Ar1wUkqgeqcSAJbPisypLDxX6ql0vAIo+9p4XM43ZRZEN5NUnlkXaTgc0DpOTV2qk3s5sQlmQkDhREgk1B8DjgWW8bnyValsESoYLtNUpbrMguAXi8xlT7S6gHiVbsZXrdsHd8BtqVOJAznHI4pAdV3o/I+Mev23hhwnK1cp3AC41WLByjWrDgB7ViHTc1h3/9AizywAX+8J9nFq43JYOk6y4FSEVCycSocLOPUCaXvXh8bjP8v5pkaW6WT0XfnDDYcDWneKjhOJIRROhETCwa+lL53MLsCZvwxPpGQElptoSDgFvlTD/su/6kDwy84eaPCX1zu818YR8hd6h3SXMhu+qs4DURRV7QjsSFGV5X4OlPO0M860Hdy1S66ELs1JzxvnKmkzTqEFV5JN0AT5r11zGa60B3siafo4OfTCyWxWnXqR32CPK/nzcqv6PHVplwogGBavSCqAPifuFW2oSIqwpHb6pdKjmXBSZtRFK5x0fxhEEg5nxok0ERROhETCvnXSY6dB4b9GdpyOlUmLA5vRmNlx37wtPXY+O/jXvzy1vBUhf6G3S3UiI1lamqOqzo16r1/5gk912mG3CYpw+LkmIJxUZazkJO2vM03GSRcOT7IQOdbNMsMPjttV98+3/awpj9ngx6OOl5AHaRZW2I6TSTsC9Tp+Hp8It9eviFFBADq1lYSTvK/0qAceVScar2jDLO8U/FCfhYjocbHUnqBiW9Bhkol2Rp2M3nGKKOOkLtU1YQNMgI5TgkHhREgk7N8gPXYaHP5r2uRI06pFn5QJ0dPY2XHyava9xkuZEwD48cvwxxUnyNmbzNQkZKXKwsmjOCYAFGEgl51+Dogts+aQMuEuuRLJudaOU+hjvW0/GMpjDsGPQltF4J6hM06aRp5mjpPTrsyqAyTXqSrwmWYkJ6Gt6jMFgDN2vwSX4MV2fxdc5f4jzq1/Gv/2X4DC7FRERGo7oEtgSatvl2mPNZlwiiDjpHanmnLJFYCOU4JB4URIuIgisH+9tB2JcLLZgfRAoNysXNeYzMnPPwIHNkh/8Z/5S6kPDwCUrpWWdolTyqrqsHp3JcqqgrO4ZMcpKyUJWSlJyj657OR02BQ3RxZQR01LdaG7cVutGwc0tJCv1cy50E0t5XM74Chu9b8GM35nfx+dhMOSOxYo1Wa4D2nOMROHdW4fTgSWnUlzOeCw24Kd090+RSRlpmjFKI7uQ5strwAAir3XYq3/LFSgPR4d1wsdM1NMx2jJ6ZdIj7s+0O6XS3WNbUUgk5wBpKrWFI0k46Qp1TWX4/RzcO0ectIS153DCYkrft4L1FZKtn9HizW9zMjIB6r2STPr9GU+sxyIYLOeHbf9P9LjKedIa2OlZQOuTKC+CijfAhQMiGx8zcCS9aWY+dZW+EVpllnxuN6YOLiL5ku+LjBb7mitRwmGq92UoOMkCyfjrDoZdXlOEAQ47aGXVVGX7qyaY+pnw1llnJLsAgpwGK85H0VXVEgOiPs4IPohQoAoihhl/xrn2bZB+M9/gb2fAqIfv4ANX9qn4A3fyMD7sivd4dv7hMDnE2zZIH8maS4H6r1u1NZ7FTGamZKETEWMuoFVjwE+N2rzh+KLH6TlqIaf3gETBzfSGTr9UuCj+6QS8YkqIDlTKkfLM0ijdZwAyXWSG0tG5DiphVMzOU6iT/ocUrKa9n6kRaHjREi4yGW6vD6Rh03llgRmjpPc3E9NtxHWwfPtcplunPRoswOnBMom4ZbrGgqjRxpWt6Csqk4RTQDgF4FZb21DWVWdIpyyUpOQlSo5A1V1HmWGmOwySduSSDgil+qSjG6MjNX6dFZ9nKyORZJxyqj5EW+4/oSutgqUCTnAjZ8Bd2wDrnsPK8Z8gsvcxfjCdxZcggfOPSWK6yjAjzmOFzHR9gkGCTvRb88LSv5tyoZf4Er7p8r7V+e+5M/meL1X85lmBj5TV9Ue4OvXAQC7e0+H3Mqi2moB4IZo3x3IPk1ai/H7EmnfsTLpuS0p6LRGgzogHq/tCJKSgaRAqZM5p5MeOk6EhMv+QDC885DIX6u0JDARIetekB4H/06agVfyoBRCr/s52B9GzU+7pUWGBTtwxi+D+085R8qa7P0SGHar9Xg2varKVQnSAq9dh0uC0O6UxNe6v0tlB8EmLbXRUNsFC/ZU1hhmcvlEEXsraxX3JCvVqZSfjtYFS3UpGsepcaU6IDBbLSDGDM6R3aIcF2aOSdmuOgB8/zHOXfUAXMJRfO/Px/2Zj+BfsoOYWQDf8TLsEE/Brz2zcLP/bfwhaanmujZBxF+cL0pPdqn2B0Llv6s+F0ASUp12CIGpiGmqzuqy45ShcpzGVL4sOSKnjcH3yWcB+B8AoKK6HlFx+iXSkii7PpSEvBwUz+wkCfpoUeec6o9JmcFw0DTAbOJSHSC5Tp5aqZdTu6a/HWk56DgREi5KvimCGXUyiuOkE06HdwF7PpPEyTm3A+feAeT2kko66140v5YcCu82HEhT5T8KAzmnH1eHnr0HmDRAFIEtS4B3bgb+PQV44zfAV/ODWY0YLOXSNTtN36oTdkFAYXaqplQnf8lX1bpVPZzsivtVYJP+mldm1Vn1cTI4TqE7dydZleMsRJVdv3CvPDvy3dvgch/FAX97XOl+AFWODiGuKeAt3/kQBe14RBHY6i9Eud8onB2CH21qpAxRmtqNcwUXQVYcp0Bu7AzhR5xTt1I6ceQfNWLp0LETDS6AbslpgZzTd8sBnyf6xX31qF3aZweFvx6jsxlLdQCQGvhvRcfppIfCiZBw8NQFS2qRBMNlQi27su4f0uPpl0pfNIIAnDtd2vfV84C71ngtuUx31jjt/ry+Ujfn+ippingozMLoAJA/EOh6PtDhDOOxKJdy6ZiZgovPylWe2wQogWR1HkcOMh9Vzaq7zLNCKVU9tv9aXGn/FNXyArjqJVeStO6GcckTi5YDFuU401l1ASGXXi/NiktHLc4+8g7w31s1n22e8DOc8Fh2Cq+0ZUNQLZ4rCjbc452KK9yPYqz7TxB1v6b9IrC9XrI0ZLEEaB0nvRid4Qg4WmeNAzr2QUV1cI05j09UZik2is5DJLflRJU0OSGWwqnqALDlX8HnkYj45mxHAARD7JxZd9JD4URIOJT9T8pttMkNLjwaCWYZpxPVwP8CXwpDpgb3nzlWCozX/gR8rZuNdWgncOgbKT9yxuXaY3YH0OVsaXuvRc4p1FItE/8JXPcu8Ot/Sw6Y/niUS7m0bxPMmcyd0FcJJGvyOCnBGWC1bi/yUIkbqp7W9D8qVvU/snKcDBkndZNJC1fJKgBuV7tKC6/A5Z9chBXOu7DJdSPGHXzC8J7tgZYDxk7luvYH8uK5172HTb/6XAmGl6M9dp/9SFBUQRKdl/g+A6BznAIlzRq3NuOUU7UFF9k3wSvagJF/BAAcOqYtz6mFVMTY7MBpY6TtXR8GWxFEO6MOCIh8nRsWrohvzgaYQDAgTsfppIfCiZBwULchEATrc81QL7sil9H+t1gqyWWfJuWLZOwO4JzbpO3Vz0jlDxnZbTr1QvP8k1KusxBOGfmSAJTRr7eXWSBlmtTiqc/EqJdyOfBzHfLwE4batmtKlsF2BE7VDDAP3HXH8XjS3yFA+8VpF/wYYtsJoGlKdcYO4MHnHWp3A/+9TRXkFtHDdhBJgg8/OQugF6Re0Ya9/lzLbJQi1DILgK7nAZnaDt5VZ1yliKpvz7oDAPCHpDfwC9tqpWM4IM2qA4Daep+SAcvDT+iwahYA4E3f+XBnSeL3kE4oRSWcAG1bglgttwJIIr+xIr45F/kFgi0J6Did9FA4ERIOSsfwRpTpAEmoCPZAE8xD0l/RSih8qlGM9bsWSOsAVJUGM02iGNzWl+lkCs+THn/80nzVevm9HC+Xlmm5eon5ensDJkkzwAZNkZ5/tzzqL4TeFe9gtes2/Mv5CMauHKNkVbQ9h6SSSlpNKS756jc4z74dZumbR5Newi9tX1iW6ozlMZ2rpJo1aFhyRX3MJqCHsB+POF7CuPXXAiYjut19M+b3fRP4xV9VJTc7ZnmnoBztLdfKMxzTCTeXw66IqoN9bsE/vNJSJ48nzUdf/w7lPL3jdKX9U1zxycVwHNoKUQR+EDsqn7WccUpPlsSW3oGKmO4XSOWwn/dI/cWA2JTqFBEf+G8bzqLaMmrHqa4q+rE0BB2nhIGz6ggJh8Z0DFcjN8Gs3i+5LYd3Aj99J/1y73uV8fykFODsm4CSPwFfPAX0ngAc2i69xu4K/oWvp2NfIClNmpF36Bsgr5fxnE0Lpcde44DTx4Qec2YBcMlfpLD54R3Ap49Iiwg3ArFqP2aceA42QRIdNviB/96G+rQCpXdTlvcwhJ93YIJtJR6ofQ3pqMVhMRO7ci/HuYcXA6IPftiw15+DbrZyPO38G/Zu2w90vx84Xo7UZG0JVb/mm7ojd5e9/wb+fb/kHAk2DC24G2+iLwCg+/63gA8eVGYcXptaiFtdewJvxPjevKINX/nPwFhboOTW/ULgyA/YWtcOb7y6F4BZp3K142TtlOldtWLvNegsHMYY+3rceng28GNPwO9FXuCzrT9Rh8HVy3Gv4x+K/yUIwB8cS7Dv8Axkt+mhOEy9CzKxevdPBgeqrKoOeypr0DU7LbzGmK42kmv6/QrAG7hWrMLhqs8U7bqF73zufDe4/fr4qGeGNggdp4SBwomQhqg6ABw7KP21m9+v8dfJyA8Kpy1vSPv6Xi11RzZj8O+AL+ZJouW75UHXq8dFoV9jTwK6FAG7P5FcJ71wOlEVdK0GXtfwmO1JwKWPAwsvBzYskL54OvZt+HU6ju/bhnRBrzpEuP41Dv91dsUef0ekz1+LDNGPxwM53tK03vi/n36P8d0G4dxr/wgc+QFv7E7CrI8PY5r9bdzu+DcK9/8XeO6/AIAswYYrVY0jjX2cpOd5+AlnbLgfQHCJm3H7/4IiZ3t4kITC/5Vrxtiudg98IvCRfzAcQ2/CRbnHgfemA6IPomDDLI/kKinlt8wCILMA/n1HAewFYF3+06+j59Q91y9k7IcNd3huxmLhYfTDD8DLkoieBgHnOLvjzE1lSPbXGGJsDsEP96HvUZ3XFfVe6b3Lwkk9yy5Uo9IGOf0SSTgB0hJDVjM7IyXwmYZN1QHgw3uCz+VQefcLoy45h4SOU8LAUh0hDSHnm3LPApxpjb+O/Au79KvgEhXqULie5Exg0G+l7c+fNDa9DIW8bt3ez43Hti4FvHVA9ulA56Lwxt31PGk9PNEPvH9X6BKgBXXfrzLZK0AU7Ohj24NfOlZDUM1G84vAix3uxSG0RWpSsFSFjHz4YcNffeNws/t2jQEkiH4UO140XTg3+FzEJPtHEKB9DwKATraf0NVWbmibAAC3e6bhJs90HOkwWBKcgczRml+sVISaVf8nq1l1DTlOTpMc1wm4MMv9O+37h4gBtu+R7K/BYTHD0DfLK9pQ6SxAxTHJEWqbmoRO7aSmjbIDZdWotEFOU7mXfi/wdJ/wWwfEmsYsYxQtdJwSBgonQhqiMevTmSHPrNvwkvRLvetwoMPp1q85+yapNLd/nbTkiyNZ+wVlxinygr+rjTOSNgbKdAOviyzkfvGfpbLi/nXBmYDhcvwQ2m17BQDgD8gSr2iD7/KnsXniV1jovcjwEpsAiEf3AdA2wFRvVwtmvaFEPJz0MjriJ4NY6SwewKKkR3Bz0rvQ44cNU+un42b3bRB1V/XDhg1+6b+T0qogIOR8bYJBbv397Jr2B6EzTqGcMZlQAfhMW42pyHsl8xYMqf8b7vVOhRjIBvlgwyzvFFSgvSKSctKTkZsuhaYrAhknq0alEROD/l+NJppQeWNRHKefm+4eJC6gcCKkIWImnAJfsnIGZMgNDb8mPU/bcNN7Atj2b+vX5PcHHClSO4PDO4P7D34trWNndwJ9THJVDY19+B+k7RUPAHVHw3/tJ3+Gw1uD//m74Y9dFuHX3vtxbv3TKOs+AZX+DDzv/YUiqGS8og2ba6QvInm2GKBdfmWPP8/Q4wgALrJvwkrXdHT56kHg4Gbgu4+BZffikbIbMcz+DepEJ46cMkYTOF7ebSZWiIPxgf9s7Bz8Z82xDb1noxxSjx797Djtkiuhl3ixXv+uAeEUYlmZPf48+HXv3yva8IF3AETY8B9cANyxBbjuPTxQuBhv+Eaiqs6jlOVyMlzIzZAaQ8oZp67ZadANVWlU2iBHdhv3NbXLE4poQuWNRW6AScfppIfCiRArvG7pyxdo3FIran76Xvu8prLh11QdAErXaPc19Fe8wynlnABp8VUZ2W064wptx/FwKbpJap1QWwksnxXeOnZlW5RyzZ88v0FaTiH2ZQ5EOdrjwM91OFrrRjna4+V205UvOdkd2X5cmhWVqnKZ1Av+lqM9fjynWPPluAC/xFr/GXAJXrTf/grwwnApGLz2eSTBg099fXGR+zHsv+jvSrkNd2zFjo5jlese7jFRc+zHU8Yrx4zlON1sPBWGruIqDDP8VOgdKPVztYgqR3usPet+TePMWd4p2FItlZMzU5IgZHYCup4HMdDi4GitR3GccjOSg8LpWD38fhEdM1Nw+4U9NPeXG5U2SEu4PFaoemOZzhyNNbLj5KkBvFHOUiRxDYUTIVZUbAV89VLPpGi+AKoOABtf0e57f0bDwqOxWQ25XCcLp/rjwNY3pe0BYYTCzXA4paA4AGx+HVh4hdQIMlSORRQlgQURG9qMxEbxdBS0TUFBlvQlfFC1wO//OvxC+ZK7JWch3vCNVEpGKUnmpToAOH7m1Zovx787J+Eq932Y5p5mmADnh4CZninYL+ZIgkfpm1Rg7CquPqZvVaDCapFfK1fJYZVxUoXDHTZBU9bT96o62O1K5f1vHLsKb/hGKuv9yT2x1NtVdR7FXcrNcCG7jROCAPj8In4KLGPTrUMbzT0u6R3mQr0t4fKEM6bAf8cmJzkz+N7pOp3UcFYdIVao2xA0pvGljJUAsvqlLv8Vr35tOH/FqxthiiKw/T+A+5i00rzc66kxtNe6EWazleSp7D2PrkK7vZ8DdheeT5L+2i/ICgqnAz/XKbO7slKTgrPR2mwAUKHcIlSpDgCSk2yaGVcux7cABPyETEP+xwYRhbZDKPdnW3YO18+AsxJH2pB3aFFlEEeqezgtGnfqhZK6VAcEHLjMjkBmARz7jgIoVY6phVNWYLtatZRNbkYyHHYb2qe5UHm8HhXVJ9Ah3YXvKo5p7vFdxXEMPMWk2aoZjW0dcDIgCNIfWLWV0sy6jDAFJ2l10HEixIpY5ZsaW8Zo7F/xBQOlIHnNYaDyu2DvpgGTAFsU/9uHyrEEypBL1pfinDmf4Pp/fIHq/94rHR92K/53TOrinJ+VgnxZOB2tU3UNN7ojMmqXKVXnOOmFhCw09vjzDAvnSj2gpI7pxiVQQq9jZzUDzirjZLrGnXwdh4UbpTpXL6r0z1NVojJN99nIzUSB4Gd6tM6jzKrLSZfKdLkZUkD8UGD/d4eOa67z/SGtkGqQ5nR54g3OrEsIKJwIsULpGD7I+ryGiKaM0ZishsMVFHvrXpAEoM0hdSSPBjMBCACfPoqKg8H+P9fZl6NQqMAhMQs/nnEjKo9LZaBObVNQ0FYSTvt/rsNRuWu46kteXuhXJtVKOCXZTJ+Xoz1qL35C83n/t8sfQoa8HbbQIkftQEWScdIcs+gOrneqBEFQck16YWi3CZr7tFEtuaIWUYDOcUpVl+qk/I0smOSckxwa/zbgOJ2W2ybwXCukiAVJgXYl+jwjOalgqY6QUBw/FFiwVJAcnGiJpowRaQNAQOrntPdzYP2L0vPTxgDpudavCWccVzwtledEnySibA5g31q0/ecFGCLciCoxFXc4pDzVY96JGFouiaZUpx2ZKUnBjNPROgiB8qf2S167kn1qUuhSnV5YJKueiwMmAWeOVj7vrZ9XAd9KHcCtlkAxlOosnCOrMp69kX2c5ONun1EYApKr5g2U29Sfh95xUn+mGYHtn2vdirMkCyZZQFVUn0C914e9P0mtBy7t3RHfVnynCCnSAJteBcq+lrbfmy6tFtDUgXTSIlA4ERIKOd/UoacU/IwFjRFAjeWUQM5JjkkPvD421x0wCRU55+DwjzvQ4ZQzkOvyAm9cB+fhHViU9GcIkOIeoggkwa+IjYKsFAiCEMw4Ha1T8ktZJl/yMqkqVyU5yaZcGzDJACXpnBzV551kDwoA63Kc7pil4xS6xKd1sbTjFAQBdpsAn180zKIDAsvFuH2G9wdIa/LVBIRTmjO0qDQLh+8/UgePT/rwOgR6OMklu4rqeuyprIHPLyLd5cB5PbIx7+Pv8B0dp4apOgC8e7tqh9j0ncpJi8FSHSGhUPJNUZbpWorKb7XPq2PTiHDJ+lIMfW4nLn9XwNDndmLJ3hRgagnEM8fCJgQz9IIAPOJ8SZk5KJfoOmZJX9QnPH7sqawBoC3PZemFk8pJEQRB6iQewCo8nWTZVyl06czKOdKLI7uFOHJY5Kak84XAuMwcJ/NSnbQveL5aVDodNs171HymARfP7ZPC+NltnMo91L2c5LJcj9w2ODVHyqWVV59A9QmPYRxERUt0KictBoUTIaGIVTC8Jag6AHxwl3bfe2G0P2iAkEty1Nlw4NSrDefbRD9OHJLyHnIo3OWwK27HsRNeAOZ5HJlknXhICTgrTodNKfXJyKLCbhNgM8yAC91XybI9gOqYVQDcKv+kd7HU99GvVQdAlXEyL9XJpOlcJrXrZOY4ycguE6AOh9fjeyXflI7MlCTkBUSV2nUqq6rD6t2V4S3DkiiEyv6169r8YyFNDoUTIWb4vMFSXdYpLTuWxtBEfwFbLcmx+ucs+EStCBAFO3a6swFAKdHptwEgM9X8Sz4lyW4QQLIDZSUqrIQKYN2Q0iiqwuvjpD+mfqp3o9T3sTqmn0Wn3icIgXYMKtQ5J7UATXPaNeOTxZK0LZfq1I5TeuBRCojLLQrkWZPX/OMrnDPnEyxZH2x/kNDoJ3/I7PqwZcZDmhQKJ0LMWPW4tBguALz2q5ZbrLSxNFEXZ73gAYJLcnx8wIGZ3t8py4B4RRsqzp+Db46nG15rEE6ankPBcHiay1iqCgonszKWtC9U4FrZNpTqwmtkaRBcFt3BBUFQlePMSnXSa83EUZKl4yS9xzSnw+C4qWfWqT9TQRA0z9WOU05ARFUer8fO8moAQI+cNoFH6b/dtxXHo1sAOBFQz34dMUva99H9wE8mLTxIq4bCiRA9R/YAn80JPm/JxUobSxN1cd5RVq15LkBakiMnPRlrf/gJb/hGYsdVq/FIh8dxbv3T+CDpIhwMfLHKGSf9dqrTrhFBavdJ3ylcPh8IISoCDoxZ4FoWKDYBlmU8g6iymlWnOWbhKlkIOSt3zCrjpG/NAGgdJ315Tv25qh2n9mku2G0C/CKUGXWnBRwnuSXBd4eOxXYB4JMVuYfV+XdLi3h764D//F5ysMlJA4UTIWo8dcCbU4z7W2PQswnW6nprkyQee+VnAJDCyb/sV4BtB6pQfcKL9GQHep7WE+17XYhytMcX31ei7Kg0/T2U46T/gk93OZSAuboVgYyc4wk1VR+wDlybiRhNVslidpwh42ThVEnHbYbz9Pc0G6szcMz0PQb2pblCfzYAkJmibeugcZwygo6T3SagQ5ugkEpPdijCSi7ZfVdxHF2z0wzN820CDAsAMwMFqcns2L8Brkxg/zpg9dMtPSISQyicCJFx1wCLJgIHNxqPteRipdEQRRdn/RfgzzVufLrrEADgsf/ri/zMZNTU+1Cy4xC+3C0tWHx2t/aw2wSc013KNa369jC8fhF2m4Cc9OCXc76FcLLZgmWlVJNSXUo4pTqTwLUSxrYQONLx0DPuLDNOJs6R3WrmnK1hkWdVqjN1nFwWjlOK2nFK1hxTO1Cn5aYrJUA541RefQKpTocimGWGdG2nWQD4X+tKMYwZKInMTsClj0nbnxZLC16TkwIKJ0IAoP4Y8Nr/AXs+A5xtgGG3x9dipc3Ma2t/NHwBvre1DB6fiDM6ZuDM/Az8sr/0efzn6/1Y/f1PAIBzukuduc/Mz0BmShK8gdpOXmBdNBm146SfRQcEWxJYlaOsw+GhS2NWZTPpeOgZd5F0DlfvM21HIAfAG9mOQD+jDgg6TqlOuyE7lZViXqoDtA6UXJ4DgIzkJHTMlI4t316ObQelUu31wwoBAJtKjyoNNQ8ercXMt7YqPbbMMlAJ50b1mQj0vBzwe4D/3CjFAPasal1lf2IgroXTc889h8LCQiQnJ6OoqAjr1q2zPH/p0qXo2bMnkpOT0bt3b3zwwQea46Io4oEHHkDHjh2RkpKCUaNG4bvvvtOcc+TIEVx77bXIyMhAVlYWpkyZguPH2QDupKbuKPDPXwGlqwFXBvCb/wAX/ynmZa6WwOqLKtSxbyuO4b63txm+AJesk9yDcQHBJD+u3HUY6/dKa3Odc6rkNNltAoZ2a69cU51p0j/XOyNAcAmWFJNSndyOQD+jDGgg4yQ7TqYiJsylUxo5c87KVTLNODlCB8flfWZunFy+M/1Mw3Sc5P5NweeSkHr0gx0QRWDUGbmYfcWZGNAlC26vHy99IXVjf7rEuMyIOgOVkDPyBEHKGqZ1AA59A/y1P7DwCmBer9Y34YQoxG3n8CVLlmDGjBmYP38+ioqKMG/ePIwePRq7du1CTk6O4fzVq1fj6quvRnFxMS6//HIsWrQIY8eOxaZNm9CrVy8AwGOPPYa//vWvWLhwIbp27Yr7778fo0ePxjfffIPkZOkXybXXXouysjKsWLECHo8HkydPxg033IBFixY16/vXI6843zU7DR0zUzTPAYQ8Fsm5zX0sHu5/aPcmpL89GSnH9sLvysLWC19GTkZvdARQhnbY43ehK9KAZh53LK6z9UAV/vLhTvhF6Qu+eFxvnH9aB8tjX5f+jD+/t8Pw788nith2sBoCgF/2ywcg5V96F2Ri64EqeP0i2qU5lS9ZADjn1PZYtr0cANBOt4xKRrIDqU47at0+U5GTLE+5N/l/QXahat0+lFXVaUpFyYHmmPVev+GYLFR8ftFwTBZENkEqS2mOqYRN5fF6jTsjCALsAuATpVKmHiHwDo6ZNJCUg9a1Hp/xmF9qJeHx+g3HZMepzmN8/7Ib57AJhmOyGBUAuL3ae+aqZtllt9H+tzotNx2ff1epLMh888juEAQBt4w8FVMWbsCrq/dC9ANL1u8zjBUAfqqpx+bSI7hX50bN/PdWpLkcGHhK27j6/yb2x4Azhs1E2xUzoHTxF/0Q370DGx39UXDKqa3md0o8jq0lEERRFBs+rfkpKirC4MGD8eyzzwKQfpF07twZt956K+69917D+RMnTkRNTQ3ee+89Zd/ZZ5+Nfv36Yf78+RBFEfn5+bjzzjtx111SY8Cqqirk5ubilVdewVVXXYUdO3bgzDPPxPr16zFokNQtetmyZbj00kuxf/9+5OfnNzju6upqZGZmoqqqChkZGQ2eHw5L1gcXT7UJwOizcrF8ewX8YvCLRYTxWCTnNvexeLj/nILPMeHw88oSHk97x2Ge7//iYmyxuI4ZApRf3REdU/OX8b0xcXAXAMCtizbh3S1lpseeKfkOT6z4Vrn2HNWxJetLcc+/tzZ4TH9NAJjyynqU7JSyVrLok4/f+cZm/DsQYNcf+9N732BBwB3RH3v642/x1MffmR57+cs9eOjdb0yPqcdqdUwQgDmhjkXw2QDAVS+swdofjpjec8rC9SjZYf7ZTFu0Ce8F/lvpj931xv/w5qb9DX6m6v8eoihiaHEJygOLAwNA9+w07P2pFr4IvlYEATjv1Gx8/n2lIqzkf4uCAJx/ajZWhTrWIxurvpOOCQJwYc8cfLLzkPLvX33uBT1z8GngWHP/Pz3Mth2LnI8Y3vtV7vuwTjyz1fxOibexqf+dxoJwv7/jUji53W6kpqbizTffxNixY5X91113HY4ePYp33nnH8JouXbpgxowZuOOOO5R9s2fPxttvv43//e9/+OGHH9C9e3d8/fXX6Nevn3LO8OHD0a9fPzz99NNYsGAB7rzzTvz888/Kca/Xi+TkZCxduhS/+tWvDPetr69HfX3wF0d1dTU6d+4cM+FUVlWHc+Z8EvKLkDSOPPyENa5bNbOEvKIN59Y/jXK0D/3CBEGA9GVj9u/OLgj44t6RAGD4t9mUx+S/PIcVf6IReOrXWh6b8wnEZhprXL7/Rn42lsd017QJwH9uHoZ9R2ox7V+bQSTy8BO+dN0GuxD8tPj7JnrU/2/EgnCFU1yW6iorK+Hz+ZCbq13JPTc3Fzt37jR9TXl5uen55eXlynF5n9U5+jKgw+FAu3btlHP0FBcX46GHHgrznUWOWe8UEj1dbeWGqdUOwY9CWwXK/fxFJgJ45qr+KK8+gT+/ry3dybkVEWLIvj5NcaxjZgr2VNYYXDH1ay2PNeNY4/L9N/KzsTymu6ZfBGrdfrRr44IZthBi/GSnHO0x0/s7POp4CQ7BD69owyzvFIqmKFH/v9GcxKVwak3MnDkTM2bMUJ7LjlOs6JqdlrC/bJqSPf48+ETB8BfgXn+uxataLzZIYsjsn5HZMbsgYGBhWwBSKFjvgMi9e/T/Npv6mNn/Dy05Hr7/yI69dfNQ7DtSh9sWf51wv9Pe8I3EKl8fFNoqsNefS9EUA9T/3pqTuJxVl52dDbvdjoqKCs3+iooK5OXlmb4mLy/P8nz5saFzDh06pDnu9Xpx5MiRkPd1uVzIyMjQ/MSSjpkpKB7XG/aAPWIXBIwfUKA8l0sqZsciObe5j7X0/Q8L2Xgz/254xeDyIH8M/AXY0mOL5XVmXtIT/5p6Nr6ceQHmjO8d9rFHx/VCx8wU039/LXUMMP//IR7Hyvdvfqxv57a4vG9+o3+nxfPvlHDGdljIxlr/mahA+1b5OyXexqb+f6M5icuMEyCFw4cMGYJnnnkGgBQO79KlC6ZNmxYyHF5bW4t3331X2Tds2DD06dNHEw6/6667cOeddwKQ3KGcnBxDOHzDhg0YOHAgAOCjjz7CmDFjWjQcDkhZp72VtSjMTlWyDvJzACGPRXJucx+Lh/tX7N+Nyh93IvuUnvCn58fV2GJ1Hat/R63xWLyNh+8/Nsfi6f+bpjiW6PdvqrHFkrC/v8U4ZfHixaLL5RJfeeUV8ZtvvhFvuOEGMSsrSywvLxdFURR/85vfiPfee69y/pdffik6HA5x7ty54o4dO8TZs2eLSUlJ4tatW5Vz5syZI2ZlZYnvvPOOuGXLFvGXv/yl2LVrV7Gurk45Z8yYMWL//v3Fr776Svziiy/EHj16iFdffXXY466qqhIBiFVVVTH4FAghhBDSHIT7/R23GaeJEyfi8OHDeOCBB1BeXo5+/fph2bJlSri7tLQUNlXDuWHDhmHRokW47777MGvWLPTo0QNvv/220sMJAP7whz+gpqYGN9xwA44ePYpzzz0Xy5YtU3o4AcDrr7+OadOm4cILL4TNZsP48ePx17/+tfneOCGEEELilrgt1bVWmqpURwghhJCmI9zv77gMhxNCCCGExCMUToQQQgghYULhRAghhBASJhROhBBCCCFhQuFECCGEEBImFE6EEEIIIWFC4UQIIYQQEiYUToQQQgghYULhRAghhBASJnG75EprRW7EXl1d3cIjIYQQQki4yN/bDS2oQuEUY44dOwYA6Ny5cwuPhBBCCCGRcuzYMWRmZoY8zrXqYozf78fBgweRnp4OQRBaejgAJBXduXNn7Nu3j+vn6eBnExp+NqHhZxMafjah4WcTmnj4bERRxLFjx5Cfnw+bLXSSiY5TjLHZbOjUqVNLD8OUjIwM/s8aAn42oeFnExp+NqHhZxMafjahaenPxsppkmE4nBBCCCEkTCicCCGEEELChMIpAXC5XJg9ezZcLldLDyXu4GcTGn42oeFnExp+NqHhZxOa1vTZMBxOCCGEEBImdJwIIYQQQsKEwokQQgghJEwonAghhBBCwoTCiRBCCCEkTCicTnLef/99FBUVISUlBW3btsXYsWM1x0tLS3HZZZchNTUVOTk5uPvuu+H1eltmsC1AfX09+vXrB0EQsHnzZs2xLVu24LzzzkNycjI6d+6Mxx57rGUG2Yzs3bsXU6ZMQdeuXZGSkoLu3btj9uzZcLvdmvMS8bORee6551BYWIjk5GQUFRVh3bp1LT2kZqe4uBiDBw9Geno6cnJyMHbsWOzatUtzzokTJ3DLLbegffv2aNOmDcaPH4+KiooWGnHLMWfOHAiCgDvuuEPZl8ifzYEDB/DrX/8a7du3R0pKCnr37o0NGzYox0VRxAMPPICOHTsiJSUFo0aNwnfffdeCIzZBJCctb775pti2bVvx+eefF3ft2iVu375dXLJkiXLc6/WKvXr1EkeNGiV+/fXX4gcffCBmZ2eLM2fObMFRNy+33XabeMkll4gAxK+//lrZX1VVJebm5orXXnutuG3bNvFf//qXmJKSIv79739vucE2Ax9++KF4/fXXi8uXLxd3794tvvPOO2JOTo545513Kuck6mcjiqK4ePFi0el0igsWLBC3b98uTp06VczKyhIrKipaemjNyujRo8WXX35Z3LZtm7h582bx0ksvFbt06SIeP35cOef3v/+92LlzZ7GkpETcsGGDePbZZ4vDhg1rwVE3P+vWrRMLCwvFPn36iLfffruyP1E/myNHjoinnHKKeP3114tfffWV+MMPP4jLly8Xv//+e+WcOXPmiJmZmeLbb78t/u9//xN/8YtfiF27dhXr6upacORaKJxOUjwej1hQUCC++OKLIc/54IMPRJvNJpaXlyv7nn/+eTEjI0Osr69vjmG2KB988IHYs2dPcfv27Qbh9Le//U1s27at5nO45557xNNPP70FRtqyPPbYY2LXrl2V54n82QwZMkS85ZZblOc+n0/Mz88Xi4uLW3BULc+hQ4dEAOJnn30miqIoHj16VExKShKXLl2qnLNjxw4RgLhmzZqWGmazcuzYMbFHjx7iihUrxOHDhyvCKZE/m3vuuUc899xzQx73+/1iXl6e+Pjjjyv7jh49KrpcLvFf//pXcwwxLFiqO0nZtGkTDhw4AJvNhv79+6Njx4645JJLsG3bNuWcNWvWoHfv3sjNzVX2jR49GtXV1di+fXtLDLvZqKiowNSpU/HPf/4TqamphuNr1qzB+eefD6fTqewbPXo0du3ahZ9//rk5h9riVFVVoV27dsrzRP1s3G43Nm7ciFGjRin7bDYbRo0ahTVr1rTgyFqeqqoqAFD+nWzcuBEej0fzWfXs2RNdunRJmM/qlltuwWWXXab5DIDE/mz++9//YtCgQZgwYQJycnLQv39//OMf/1CO79mzB+Xl5ZrPJjMzE0VFRXH12VA4naT88MMPAIAHH3wQ9913H9577z20bdsWI0aMwJEjRwAA5eXlGtEEQHleXl7evANuRkRRxPXXX4/f//73GDRokOk5ifrZ6Pn+++/xzDPP4MYbb1T2JepnU1lZCZ/PZ/reT+b33RB+vx933HEHzjnnHPTq1QuA9O/A6XQiKytLc26ifFaLFy/Gpk2bUFxcbDiWyJ/NDz/8gOeffx49evTA8uXLcdNNN+G2227DwoULAQR/f8T7/2MUTq2Me++9F4IgWP7s3LkTfr8fAPDHP/4R48ePx8CBA/Hyyy9DEAQsXbq0hd9F0xDuZ/PMM8/g2LFjmDlzZksPudkI97NRc+DAAYwZMwYTJkzA1KlTW2jkJN655ZZbsG3bNixevLilhxIX7Nu3D7fffjtef/11JCcnt/Rw4gq/348BAwbg0UcfRf/+/XHDDTdg6tSpmD9/fksPLSIcLT0AEhl33nknrr/+estzunXrhrKyMgDAmWeeqex3uVzo1q0bSktLAQB5eXmGGUHyzI68vLwYjrp5CPez+eSTT7BmzRrDmkiDBg3Ctddei4ULFyIvL88wyyURPhuZgwcPYuTIkRg2bBheeOEFzXkn22cTLtnZ2bDb7abv/WR+31ZMmzYN7733HlatWoVOnTop+/Py8uB2u3H06FGNs5IIn9XGjRtx6NAhDBgwQNnn8/mwatUqPPvss1i+fHnCfjYdO3bUfCcBwBlnnIF///vfAIK/PyoqKtCxY0flnIqKCvTr16/ZxtkgLR2yIk1DVVWV6HK5NOFwt9st5uTkKLOf5HC4ekbQ3//+dzEjI0M8ceJEs4+5ufjxxx/FrVu3Kj/Lly8XAYhvvvmmuG/fPlEUgwFot9utvG7mzJkJEYDev3+/2KNHD/Gqq64SvV6v4XgifzZDhgwRp02bpjz3+XxiQUFBwoXD/X6/eMstt4j5+fnit99+azguB6DffPNNZd/OnTsTIgBdXV2t+f2ydetWcdCgQeKvf/1rcevWrQn92Vx99dWGcPgdd9whDh06VBTFYDh87ty5ynH5uyyewuEUTicxt99+u1hQUCAuX75c3LlzpzhlyhQxJydHPHLkiCiKwXYEF198sbh582Zx2bJlYocOHRKqHYEoiuKePXsMs+qOHj0q5ubmir/5zW/Ebdu2iYsXLxZTU1NP+in3+/fvF0899VTxwgsvFPfv3y+WlZUpPzKJ+tmIotSOwOVyia+88or4zTffiDfccIOYlZWlmZmaCNx0001iZmamuHLlSs2/kdraWuWc3//+92KXLl3ETz75RNywYYM4dOhQ5Qsy0VDPqhPFxP1s1q1bJzocDvGRRx4Rv/vuO/H1118XU1NTxddee005Z86cOWJWVpb4zjvviFu2bBF/+ctfsh0BaT7cbrd45513ijk5OWJ6ero4atQocdu2bZpz9u7dK15yySViSkqKmJ2dLd55552ix+NpoRG3DGbCSRRF8X//+5947rnnii6XSywoKBDnzJnTMgNsRl5++WURgOmPmkT8bGSeeeYZsUuXLqLT6RSHDBkirl27tqWH1OyE+jfy8ssvK+fU1dWJN998s9i2bVsxNTVV/NWvfqUR4ImEXjgl8mfz7rvvir169RJdLpfYs2dP8YUXXtAc9/v94v333y/m5uaKLpdLvPDCC8Vdu3a10GjNEURRFJu9PkgIIYQQ0grhrDpCCCGEkDChcCKEEEIICRMKJ0IIIYSQMKFwIoQQQggJEwonQgghhJAwoXAihBBCCAkTCidCCCGEkDChcCKEEEIICRMKJ0IIaYAHH3wQgiDgwQcfbNbXEkLiDwonQghpJCtXroQgCBgxYkRLD4UQ0kxwyRVCCGmAyspKVFZWIjs7G9nZ2cr+lStXYuTIkRg+fDhWrlwZ0WsJIa0TR0sPgBBC4p1oRA8FEyEnFyzVEULiAkEQIAgCAOAf//gHBg4ciLS0NGRlZeHSSy/F2rVrQ772yJEjmDVrFs466yykpqYiPT0dAwcOxGOPPYa6ujrT13z88ce44oorkJubi6SkJLRt2xY9evTAr3/9a6xatUpzrllOacSIERg5ciQA4LPPPlPGLwgCCgsLLV+rZvny5bj88suRk5MDp9OJ/Px8TJw4ERs2bDA9f8SIERAEAStXrsTmzZsxbtw4ZGdnw+Vy4cwzz8QTTzwBFhIIaTroOBFC4ooZM2Zg3rx5OOecc/DLX/4SW7duxYcffogVK1bgjTfewK9+9SvN+T/88AMuuOAC/Pjjj+jQoQMuvfRSeDwefPrpp7jnnnuwZMkSfPzxx2jbtq3ymoULF2Ly5MkAgCFDhmDkyJGoq6vD/v37sXjxYmRnZ+P888+3HOeYMWOQnJyM5cuXIzc3F2PGjFGOhesw3X///fjzn/8MQRAwbNgwdOnSBTt27MAbb7yBf//733jhhRfw29/+1vS1y5cvx5NPPonu3bvjoosuQllZGb744gvcdddd2LdvH+bNmxfWGAghESISQkgcAEAEIKakpIglJSWaY4899pgIQMzMzBQrKio0x4qKikQA4i9+8Qvx+PHjyv5Dhw6JAwYMEAGI11xzjeY1Xbt2FQGIn3/+uWEcFRUV4qZNmzT7Zs+eLQIQZ8+erdn/6aefigDE4cOHh3xfoV774YcfigDE5ORk8aOPPtIce/HFF0UAYlJSkrht2zbNseHDhyuf1fz58zXHSkpKREEQRLvdLu7bty/kmAghjYelOkJIXHHjjTfiggsu0Oy7++67MWjQIFRVVeHFF19U9n/xxRf46quvkJqaihdeeAFpaWnKsQ4dOuCFF14AACxevBj79+9XjlVUVCAzMxPnnnuu4f45OTno379/rN+Wgblz5wIAbr75Zlx00UWaY1OmTMHll18Oj8eDp59+2vT148aNw4033qjZd8EFF2D06NHw+Xz49NNPm2bghCQ4FE6EkLjiuuuuM90/adIkANDMXpO3x4wZg9zcXMNrBg4ciL59+8Lv9+Ozzz5T9g8ZMgRVVVWYNGkSNm7cCL/fH7s3EAZerxdffvklAOD66683PWfKlCkAEFIAXXHFFab7zzjjDADAgQMHohwlIcQMCidCSFzRtWtXy/1q50gWB6FeAwDdu3fXnAsAf/vb39CtWzf885//xKBBg5CVlYULL7wQjzzyCEpLS6N+Dw3x008/4cSJEwBCj91s3Gq6dOliuj8jIwMAlOsTQmILhRMhpFUhxmDG2BlnnIFdu3bh/fffx5133olevXrh888/x3333YcePXrgtddei8FImxabjb++CWkJ+H8eISSu2LNnj+n+vXv3AgA6deqk7CsoKAAgzawLhXxMPlfG4XDg0ksvxdy5c7F69WpUVlZi9uzZcLvduPHGG1FTUxPN27Ckffv2cLlclmMPNW5CSMtC4UQIiSv++c9/Wu5XL28iby9btgwVFRWG13z99dfYvHkzbDZbg+0FMjIy8OCDDyIrKwu1tbX49ttvGxyr0+kEIGWWIsHhcCjB9FdeecX0nAULFgCA0iuKEBIfUDgRQuKK559/3rB8yVNPPYV169YhPT1dCU0DwLnnnouioiLU1dXhxhtvRG1trXKssrJSmXV21VVXoXPnzgCA2tpaPPnkkzh8+LDh3p9//jmOHj0Ku92ucbZCIZ/z3XffwePxRPQ+77zzTuX9lpSUaI698sor+O9//4ukpCTcfvvtEV2XENK0sAEmISSukNsRnHfeeSgoKMC2bduwdetW2O12LFiwAHl5eZrzFy1ahAsuuADvvPMOunbtivPPP19pgFldXY0BAwbg2WefVc53u9248847cffdd6N3797o0aMHkpKSsHfvXqU7+R//+Ed06NChwbF26dIFgwYNwoYNG9C7d28MGjQIycnJyM7Oxpw5cyxfe8kll+C+++7Dn//8Z1x00UU455xz0KVLF+zcuRObNm2C3W7H/PnzcdZZZzXiUySENBUUToSQuOKpp57C6aefjr///e9Yv349kpKSMGbMGNx///0YNmyY4fxu3bph06ZNmDt3Lt5++2289957sNlsOP300zFx4kTcdtttSElJUc5v06YN5s+fj88++wxff/01VqxYAbfbjfz8fIwbNw4333yzoY+UFf/+978xc+ZMfPrpp1iyZAm8Xi9OOeWUBoUTADz88MM455xz8Mwzz+Crr77C2rVrkZ2djQkTJuCuu+7CkCFDwh4HIaR5EMRYTFEhhJAokdep468kQkg8w4wTIYQQQkiYUDgRQgghhIQJhRMhhBBCSJgwHE4IiQuYbSKEtAboOBFCCCGEhAmFEyGEEEJImFA4EUIIIYSECYUTIYQQQkiYUDgRQgghhIQJhRMhhBBCSJhQOBFCCCGEhAmFEyGEEEJImPw/FfW0otiThb8AAAAASUVORK5CYII=", "text/plain": [ "
" ] @@ -389,8 +338,7 @@ "\n", "# quantum\n", "quantum_probs = {\n", - " sample.state[\"x\"]: sample.shots / NUM_SAMPLES\n", - " for sample in results[0].value.parsed_counts\n", + " sample.state[\"x\"]: sample.shots / NUM_SAMPLES for sample in result_1.parsed_counts\n", "}\n", "sorted_quantum_probs = dict(sorted(quantum_probs.items()))\n", "\n", @@ -434,14 +382,7 @@ "cell_type": "code", "execution_count": 8, "id": "72be5d00-bb53-4b71-8ba0-5a6c6cd20a1b", - "metadata": { - "execution": { - "iopub.execute_input": "2024-05-07T13:29:31.112435Z", - "iopub.status.busy": "2024-05-07T13:29:31.111381Z", - "iopub.status.idle": "2024-05-07T13:29:31.118010Z", - "shell.execute_reply": "2024-05-07T13:29:31.117322Z" - } - }, + "metadata": {}, "outputs": [], "source": [ "from classiq.qmod.symbolic import pi\n", @@ -454,7 +395,6 @@ " walks_qfuncs: QCallableList,\n", " coin_state: QNum,\n", "):\n", - "\n", " power(\n", " time,\n", " lambda: (\n", @@ -487,14 +427,7 @@ "cell_type": "code", "execution_count": 9, "id": "5dbc34f3-038f-4a19-a16a-33b6a0dfe02f", - "metadata": { - "execution": { - "iopub.execute_input": "2024-05-07T13:29:31.122713Z", - "iopub.status.busy": "2024-05-07T13:29:31.121542Z", - "iopub.status.idle": "2024-05-07T13:29:31.154936Z", - "shell.execute_reply": "2024-05-07T13:29:31.154196Z" - } - }, + "metadata": {}, "outputs": [], "source": [ "from classiq.execution import ExecutionPreferences\n", @@ -505,7 +438,6 @@ "\n", "@qfunc\n", "def main(t: CInt, x: Output[QNum]):\n", - "\n", " coin = QBit(\"coin\")\n", " allocate_num(floor(log(CIRCLE_SIZE, 2)), True, 0, x)\n", " allocate(1, coin)\n", @@ -527,10 +459,11 @@ " save({\"run1\": sample({\"t\": 50})})\n", "\n", "\n", - "qmod = create_model(\n", + "qmod_2 = create_model(\n", " main,\n", " classical_execution_function=cmain,\n", " execution_preferences=ExecutionPreferences(num_shots=NUM_SHOTS),\n", + " out_file=\"quantum_walk_circle_balanced_coin\",\n", ")" ] }, @@ -546,20 +479,13 @@ "cell_type": "code", "execution_count": 10, "id": "4023a118-1e66-4f26-9d75-f97f4d145d4c", - "metadata": { - "execution": { - "iopub.execute_input": "2024-05-07T13:29:31.160478Z", - "iopub.status.busy": "2024-05-07T13:29:31.159253Z", - "iopub.status.idle": "2024-05-07T13:29:43.583540Z", - "shell.execute_reply": "2024-05-07T13:29:43.582915Z" - } - }, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Opening: https://platform.classiq.io/circuit/a430e208-f365-47e7-a7fc-0b0b99fc4743?version=0.41.0.dev39%2B79c8fd0855\n" + "Opening: https://platform.classiq.io/circuit/2twfzR6F9mTkvltEP6cHJ8mdJOE?version=0.70.0\n" ] }, { @@ -574,7 +500,7 @@ }, { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -584,13 +510,11 @@ } ], "source": [ - "qprog = synthesize(qmod)\n", - "write_qmod(qmod, \"quantum_walk_circle_balanced_coin\")\n", - "show(qprog)\n", - "results = execute(qprog).result()\n", + "qprog_2 = synthesize(qmod_2)\n", + "show(qprog_2)\n", + "result_2 = execute(qprog_2).result_value()\n", "quantum_probs = {\n", - " sample.state[\"x\"]: sample.shots / NUM_SAMPLES\n", - " for sample in results[0].value.parsed_counts\n", + " sample.state[\"x\"]: sample.shots / NUM_SAMPLES for sample in result_2.parsed_counts\n", "}\n", "sorted_quantum_probs = dict(sorted(quantum_probs.items()))\n", "\n", @@ -659,14 +583,7 @@ "cell_type": "code", "execution_count": 11, "id": "b9f513c8-d44e-48cd-ad52-29ec7d7c16e9", - "metadata": { - "execution": { - "iopub.execute_input": "2024-05-07T13:29:43.588063Z", - "iopub.status.busy": "2024-05-07T13:29:43.586986Z", - "iopub.status.idle": "2024-05-07T13:29:43.591745Z", - "shell.execute_reply": "2024-05-07T13:29:43.591185Z" - } - }, + "metadata": {}, "outputs": [], "source": [ "@qfunc\n", @@ -678,14 +595,7 @@ "cell_type": "code", "execution_count": 12, "id": "5e4e0688-76d4-41fe-ba75-948f548094b4", - "metadata": { - "execution": { - "iopub.execute_input": "2024-05-07T13:29:43.595954Z", - "iopub.status.busy": "2024-05-07T13:29:43.594931Z", - "iopub.status.idle": "2024-05-07T13:29:43.639507Z", - "shell.execute_reply": "2024-05-07T13:29:43.638755Z" - } - }, + "metadata": {}, "outputs": [], "source": [ "from classiq.execution import ExecutionPreferences\n", @@ -705,7 +615,6 @@ " t: CInt,\n", " x: Output[QArray[QBit]],\n", "):\n", - "\n", " # start at the zero state location\n", " allocate(SPACE_SIZE, x)\n", "\n", @@ -732,40 +641,32 @@ " save({\"run\": sample({\"t\": 4})})\n", "\n", "\n", - "qmod = create_model(\n", + "qmod_3 = create_model(\n", " main,\n", " classical_execution_function=cmain,\n", " execution_preferences=ExecutionPreferences(num_shots=NUM_SHOTS),\n", " constraints=Constraints(optimization_parameter=\"width\"),\n", - ")\n", - "\n", - "write_qmod(qmod, \"quantum_walk_hypercube\")" + " out_file=\"quantum_walk_hypercube\",\n", + ")" ] }, { "cell_type": "code", "execution_count": 13, "id": "8683e9d7-199f-427a-a122-cdc93db05d46", - "metadata": { - "execution": { - "iopub.execute_input": "2024-05-07T13:29:43.644412Z", - "iopub.status.busy": "2024-05-07T13:29:43.643259Z", - "iopub.status.idle": "2024-05-07T13:29:45.973730Z", - "shell.execute_reply": "2024-05-07T13:29:45.972963Z" - } - }, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Opening: https://platform.classiq.io/circuit/c674bb1e-ca9f-4d56-b2a1-e74797d25ec2?version=0.41.0.dev39%2B79c8fd0855\n" + "Opening: https://platform.classiq.io/circuit/2twg1TNTfBBHEgGmMmppSj68uGs?version=0.70.0\n" ] } ], "source": [ - "qprog = synthesize(qmod)\n", - "show(qprog)" + "qprog_3 = synthesize(qmod_3)\n", + "show(qprog_3)" ] }, { @@ -783,44 +684,30 @@ "cell_type": "code", "execution_count": 14, "id": "eccd5bb7-4ddb-49fb-80ef-963ccd0f6f07", - "metadata": { - "execution": { - "iopub.execute_input": "2024-05-07T13:29:45.977037Z", - "iopub.status.busy": "2024-05-07T13:29:45.976657Z", - "iopub.status.idle": "2024-05-07T13:29:47.426254Z", - "shell.execute_reply": "2024-05-07T13:29:47.425529Z" - } - }, + "metadata": {}, "outputs": [], "source": [ - "results = execute(qprog).result()" + "result_3 = execute(qprog_3).result_value()" ] }, { "cell_type": "code", "execution_count": 15, "id": "8b571d9a-23c6-4d92-b95f-3b958f2d6c5f", - "metadata": { - "execution": { - "iopub.execute_input": "2024-05-07T13:29:47.430397Z", - "iopub.status.busy": "2024-05-07T13:29:47.429954Z", - "iopub.status.idle": "2024-05-07T13:29:47.453476Z", - "shell.execute_reply": "2024-05-07T13:29:47.447984Z" - } - }, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "The probability to reach the opposite corner: 0.56\n" + "The probability to reach the opposite corner: 0.5585\n" ] } ], "source": [ "print(\n", " \"The probability to reach the opposite corner:\",\n", - " results[0].value.counts.get(\"1\" * SPACE_SIZE, 0) / NUM_SHOTS,\n", + " result_3.counts.get(\"1\" * SPACE_SIZE, 0) / NUM_SHOTS,\n", ")" ] }, @@ -836,20 +723,13 @@ "cell_type": "code", "execution_count": 16, "id": "fc12d7df-8613-480f-93e5-6304496c74aa", - "metadata": { - "execution": { - "iopub.execute_input": "2024-05-07T13:29:47.459592Z", - "iopub.status.busy": "2024-05-07T13:29:47.459325Z", - "iopub.status.idle": "2024-05-07T13:29:47.546036Z", - "shell.execute_reply": "2024-05-07T13:29:47.545181Z" - } - }, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "The probability to reach the opposite corner in the classical case: 0.0658\n" + "The probability to reach the opposite corner in the classical case: 0.0635\n" ] } ], diff --git a/tutorials/advanced_tutorials/high_level_modeling_flexible_qpe/high_level_modeling_flexible_qpe.ipynb b/tutorials/advanced_tutorials/high_level_modeling_flexible_qpe/high_level_modeling_flexible_qpe.ipynb index bbc949afb..87822eb59 100644 --- a/tutorials/advanced_tutorials/high_level_modeling_flexible_qpe/high_level_modeling_flexible_qpe.ipynb +++ b/tutorials/advanced_tutorials/high_level_modeling_flexible_qpe/high_level_modeling_flexible_qpe.ipynb @@ -292,7 +292,7 @@ "output_type": "stream", "text": [ "chosen eigenvector: [0.54233721 0.48935737 0.47765123 0.4881076 ]\n", - "the eigenvalue to estimate: 0.20966990092576387\n" + "the eigenvalue to estimate: 0.2096699009257637\n" ] } ], @@ -361,7 +361,7 @@ " )\n", "\n", "\n", - "quantum_program = synthesize(create_model(main))" + "qprog_1 = synthesize(main)" ] }, { @@ -374,12 +374,12 @@ "name": "stdout", "output_type": "stream", "text": [ - "" + "Opening: https://platform.classiq.io/circuit/2twgM9u4Qe6gkNIse0v2TFOjpty?version=0.70.0\n" ] } ], "source": [ - "show(quantum_program)" + "show(qprog_1)" ] }, { @@ -397,7 +397,7 @@ "metadata": {}, "outputs": [], "source": [ - "result = execute(quantum_program).result()" + "result_1 = execute(qprog_1).result_value()" ] }, { @@ -407,7 +407,7 @@ "metadata": {}, "outputs": [], "source": [ - "parsed_counts = result[0].value.parsed_counts\n", + "parsed_counts = result_1.parsed_counts\n", "phase_counts = {\n", " sampled_state.state[\"phase_approx\"] / (2**QPE_SIZE): sampled_state.shots\n", " for sampled_state in parsed_counts\n", @@ -424,13 +424,13 @@ "name": "stdout", "output_type": "stream", "text": [ - "exact eigenvalue: 0.20966990092576387\n", + "exact eigenvalue: 0.2096699009257637\n", "approximated eigenvalue: 0.21875\n" ] }, { "data": { - "image/png": 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", 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T6dSbb76p7OxsTZgwQcOGDdOSJUv8niUDAAAubd/qOTF9Gc+JubTwnBgA6B967TkxAAAAPYUQAwAAjESIAQAARiLEAAAAIxFiAACAkQgxAADASIQYAABgJEIMAAAwEiEGAAAYiRADAACMRIgBAABGIsQAAAAjEWIAAICRCDEAAMBIhBgAAGAkQgwAADASIQYAABiJEAMAAIxEiAEAAEYixAAAACMRYgAAgJEIMQAAwEiEGAAAYCRCDAAAMBIhBgAAGIkQAwAAjESIAQAARiLEAAAAIxFiAACAkQgxAADASIQYAABgJEIMAAAwEiEGAAAYiRADAACMRIgBAABGIsQAAAAjEWIAAICRAh5izpw5o8WLFys+Pl4DBw7UVVddpUcffVSWZdk1lmVpyZIlio2N1cCBA5WcnKyPPvrIbz9NTU1KT0+Xw+FQZGSkMjMzdfLkyUC3CwAADBXwEPPkk09q9erV+vd//3cdOHBATz75pAoLC7Vq1Sq7prCwUCtXrlRxcbGqq6s1aNAgpaSk6PTp03ZNenq69u3bp/Lycm3atEmVlZXKysoKdLsAAMBQQdaXL5EEwI9//GPFxMTohRdesMfS0tI0cOBA/fa3v5VlWXK73brvvvt0//33S5K8Xq9iYmJUUlKiWbNm6cCBAxo7dqx27dqlhIQESVJZWZmmT5+uo0ePyu12f2MfPp9PTqdTXq9XDocjkKeIPmhk3ubzxj5ZltoLnQAAvo3OvH8H/ErMjTfeqIqKCn344YeSpP/5n//RO++8o9tuu02SdOjQIXk8HiUnJ9vbOJ1OJSYmqqqqSpJUVVWlyMhIO8BIUnJysoKDg1VdXX3B47a0tMjn8/ktAACg/woN9A7z8vLk8/k0evRohYSE6MyZM3r88ceVnp4uSfJ4PJKkmJgYv+1iYmLsdR6PR9HR0f6NhoYqKirKrjlXQUGBHn744UCfDgAA6KMCfiXmd7/7nUpLS/Xyyy9r9+7dWrt2rZ5++mmtXbs20Ifyk5+fL6/Xay/19fXdejwAANC7An4lZsGCBcrLy9OsWbMkSePHj9fhw4dVUFCgjIwMuVwuSVJDQ4NiY2Pt7RoaGnTddddJklwulxobG/32297erqamJnv7c4WHhys8PDzQpwMAAPqogF+J+fzzzxUc7L/bkJAQdXR0SJLi4+PlcrlUUVFhr/f5fKqurlZSUpIkKSkpSc3NzaqpqbFrtm7dqo6ODiUmJga6ZQAAYKCAX4mZMWOGHn/8cQ0fPlzjxo3Tnj17tHz5cv3zP/+zJCkoKEjz5s3TY489pquvvlrx8fFavHix3G63Zs6cKUkaM2aMpk2bprlz56q4uFhtbW3KycnRrFmzLurOJAAA0P8FPMSsWrVKixcv1j333KPGxka53W798pe/1JIlS+yaBx54QKdOnVJWVpaam5t10003qaysTBEREXZNaWmpcnJyNGXKFAUHBystLU0rV64MdLsAAMBQAX9OTF/Bc2IuLTwnBgD6h159TgwAAEBPIMQAAAAjEWIAAICRCDEAAMBIhBgAAGAkQgwAADASIQYAABiJEAMAAIxEiAEAAEYixAAAACMRYgAAgJEIMQAAwEiEGAAAYCRCDAAAMBIhBgAAGIkQAwAAjESIAQAARiLEAAAAIxFiAACAkQgxAADASIQYAABgJEIMAAAwEiEGAAAYiRADAACMRIgBAABGIsQAAAAjEWIAAICRCDEAAMBIhBgAAGAkQgwAADASIQYAABiJEAMAAIxEiAEAAEYixAAAACMRYgAAgJEIMQAAwEiEGAAAYCRCDAAAMFK3hJhPP/1U//RP/6ShQ4dq4MCBGj9+vN577z17vWVZWrJkiWJjYzVw4EAlJyfro48+8ttHU1OT0tPT5XA4FBkZqczMTJ08ebI72gUAAAYKeIg5fvy4Jk2apAEDBugPf/iD9u/fr3/7t3/TkCFD7JrCwkKtXLlSxcXFqq6u1qBBg5SSkqLTp0/bNenp6dq3b5/Ky8u1adMmVVZWKisrK9DtAgAAQwVZlmUFcod5eXnavn273n777QuutyxLbrdb9913n+6//35JktfrVUxMjEpKSjRr1iwdOHBAY8eO1a5du5SQkCBJKisr0/Tp03X06FG53e5v7MPn88npdMrr9crhcATuBNEnjczbfN7YJ8tSe6ETAMC30Zn374BfiXnttdeUkJCgf/iHf1B0dLS+//3v6/nnn7fXHzp0SB6PR8nJyfaY0+lUYmKiqqqqJElVVVWKjIy0A4wkJScnKzg4WNXV1Rc8bktLi3w+n98CAAD6r4CHmIMHD2r16tW6+uqr9cYbb+juu+/Wr3/9a61du1aS5PF4JEkxMTF+28XExNjrPB6PoqOj/daHhoYqKirKrjlXQUGBnE6nvcTFxQX61AAAQB8S8BDT0dGh66+/Xk888YS+//3vKysrS3PnzlVxcXGgD+UnPz9fXq/XXurr67v1eAAAoHcFPMTExsZq7NixfmNjxozRkSNHJEkul0uS1NDQ4FfT0NBgr3O5XGpsbPRb397erqamJrvmXOHh4XI4HH4LAADovwIeYiZNmqS6ujq/sQ8//FAjRoyQJMXHx8vlcqmiosJe7/P5VF1draSkJElSUlKSmpubVVNTY9ds3bpVHR0dSkxMDHTLAADAQKGB3uH8+fN144036oknntCdd96pnTt3as2aNVqzZo0kKSgoSPPmzdNjjz2mq6++WvHx8Vq8eLHcbrdmzpwp6YsrN9OmTbM/hmpra1NOTo5mzZp1UXcmAQCA/i/gIeYHP/iBNmzYoPz8fD3yyCOKj4/XihUrlJ6ebtc88MADOnXqlLKystTc3KybbrpJZWVlioiIsGtKS0uVk5OjKVOmKDg4WGlpaVq5cmWg2wUAAIYK+HNi+gqeE3Np4TkxANA/9OpzYgAAAHoCIQYAABiJEAMAAIxEiAEAAEYixAAAACMRYgAAgJEIMQAAwEiEGAAAYCRCDAAAMBIhBgAAGIkQAwAAjESIAQAARiLEAAAAIxFiAACAkQgxAADASIQYAABgJEIMAAAwEiEGAAAYiRADAACMRIgBAABGIsQAAAAjEWIAAICRCDEAAMBIhBgAAGAkQgwAADASIQYAABiJEAMAAIxEiAEAAEYixAAAACMRYgAAgJEIMQAAwEiEGAAAYCRCDAAAMBIhBgAAGIkQAwAAjESIAQAARiLEAAAAI3V7iFm2bJmCgoI0b948e+z06dPKzs7W0KFDdfnllystLU0NDQ1+2x05ckSpqam67LLLFB0drQULFqi9vb272wUAAIbo1hCza9cu/cd//Ie+973v+Y3Pnz9fr7/+ul599VVt27ZNx44d0+23326vP3PmjFJTU9Xa2qodO3Zo7dq1Kikp0ZIlS7qzXQAAYJBuCzEnT55Uenq6nn/+eQ0ZMsQe93q9euGFF7R8+XL96Ec/0oQJE/TSSy9px44devfddyVJb775pvbv36/f/va3uu6663Tbbbfp0UcfVVFRkVpbW7urZQAAYJBuCzHZ2dlKTU1VcnKy33hNTY3a2tr8xkePHq3hw4erqqpKklRVVaXx48crJibGrklJSZHP59O+ffsueLyWlhb5fD6/BQAA9F+h3bHTdevWaffu3dq1a9d56zwej8LCwhQZGek3HhMTI4/HY9d8OcCcXX923YUUFBTo4YcfDkD3AADABAG/ElNfX6/f/OY3Ki0tVURERKB3/5Xy8/Pl9Xrtpb6+vseODQAAel7AQ0xNTY0aGxt1/fXXKzQ0VKGhodq2bZtWrlyp0NBQxcTEqLW1Vc3NzX7bNTQ0yOVySZJcLtd5dyudfX225lzh4eFyOBx+CwAA6L8CHmKmTJmivXv3qra21l4SEhKUnp5u//eAAQNUUVFhb1NXV6cjR44oKSlJkpSUlKS9e/eqsbHRrikvL5fD4dDYsWMD3TIAADBQwL8TM3jwYF1zzTV+Y4MGDdLQoUPt8czMTOXm5ioqKkoOh0P33nuvkpKSdMMNN0iSpk6dqrFjx2rOnDkqLCyUx+PRgw8+qOzsbIWHhwe6ZQAAYKBu+WLvN3nmmWcUHBystLQ0tbS0KCUlRc8995y9PiQkRJs2bdLdd9+tpKQkDRo0SBkZGXrkkUd6o10AANAHBVmWZfV2E93B5/PJ6XTK6/Xy/ZhLwMi8zeeNfbIstRc6AQB8G515/+Z3JwEAACMRYgAAgJEIMQAAwEiEGAAAYCRCDAAAMBIhBgAAGIkQAwAAjESIAQAARiLEAAAAIxFiAACAkQgxAADASIQYAABgJEIMAAAwEiEGAAAYiRADAACMRIgBAABGIsQAAAAjEWIAAICRCDEAAMBIhBgAAGAkQgwAADASIQYAABiJEAMAAIxEiAEAAEYK7e0GgC8bmbfZ7/Uny1J7qRMAQF/HlRgAAGAkQgwAADASIQYAABiJEAMAAIxEiAEAAEYixAAAACMRYgAAgJEIMQAAwEiEGAAAYCRCDAAAMBIhBgAAGIkQAwAAjESIAQAARgp4iCkoKNAPfvADDR48WNHR0Zo5c6bq6ur8ak6fPq3s7GwNHTpUl19+udLS0tTQ0OBXc+TIEaWmpuqyyy5TdHS0FixYoPb29kC3CwAADBXwELNt2zZlZ2fr3XffVXl5udra2jR16lSdOnXKrpk/f75ef/11vfrqq9q2bZuOHTum22+/3V5/5swZpaamqrW1VTt27NDatWtVUlKiJUuWBLpdAABgqCDLsqzuPMBnn32m6Ohobdu2TTfffLO8Xq/+7u/+Ti+//LLuuOMOSdIHH3ygMWPGqKqqSjfccIP+8Ic/6Mc//rGOHTummJgYSVJxcbEWLlyozz77TGFhYd94XJ/PJ6fTKa/XK4fD0Z2niAAambfZ7/Uny1K7tF1ntgUA9B2def/u9u/EeL1eSVJUVJQkqaamRm1tbUpOTrZrRo8ereHDh6uqqkqSVFVVpfHjx9sBRpJSUlLk8/m0b9++Cx6npaVFPp/PbwEAAP1Xt4aYjo4OzZs3T5MmTdI111wjSfJ4PAoLC1NkZKRfbUxMjDwej13z5QBzdv3ZdRdSUFAgp9NpL3FxcQE+GwAA0Jd0a4jJzs7Wn//8Z61bt647DyNJys/Pl9frtZf6+vpuPyYAAOg9od2145ycHG3atEmVlZW64oor7HGXy6XW1lY1Nzf7XY1paGiQy+Wya3bu3Om3v7N3L52tOVd4eLjCw8MDfBYAAKCvCviVGMuylJOTow0bNmjr1q2Kj4/3Wz9hwgQNGDBAFRUV9lhdXZ2OHDmipKQkSVJSUpL27t2rxsZGu6a8vFwOh0Njx44NdMsAAMBAAb8Sk52drZdffln//d//rcGDB9vfYXE6nRo4cKCcTqcyMzOVm5urqKgoORwO3XvvvUpKStINN9wgSZo6darGjh2rOXPmqLCwUB6PRw8++KCys7O52gIAACR1Q4hZvXq1JOmWW27xG3/ppZf085//XJL0zDPPKDg4WGlpaWppaVFKSoqee+45uzYkJESbNm3S3XffraSkJA0aNEgZGRl65JFHAt0uAAAwVMBDzMU8diYiIkJFRUUqKir6ypoRI0Zoy5YtgWwNAAD0I/zuJAAAYCRCDAAAMBIhBgAAGIkQAwAAjESIAQAARiLEAAAAIxFiAACAkQgxAADASIQYAABgJEIMAAAwUsB/7QBgmpF5m/1ef7IstZc6AQB0BldiAACAkQgxAADASIQYAABgJEIMAAAwEiEGAAAYiRADAACMRIgBAABGIsQAAAAjEWIAAICRCDEAAMBIhBgAAGAkQgwAADASIQYAABiJEAMAAIxEiAEAAEYixAAAACMRYgAAgJEIMQAAwEiEGAAAYCRCDAAAMBIhBgAAGIkQAwAAjBTa2w2g/xmZt/m8sU+WpfZCJwCA/owrMQAAwEhciQG6iCtOANC7uBIDAACM1KevxBQVFempp56Sx+PRtddeq1WrVmnixIm93RaAbsQVLgAXq8+GmFdeeUW5ubkqLi5WYmKiVqxYoZSUFNXV1Sk6Orq327sk8GbSPZhXAAiMPhtili9frrlz5+oXv/iFJKm4uFibN2/Wiy++qLy8vF7urufxxofecu7P3sX+3PEzC6C79ckQ09raqpqaGuXn59tjwcHBSk5OVlVV1QW3aWlpUUtLi/3a6/VKknw+X8D7u2bpG+eN/fnhlIAf58s6Wj4/b+xiz+3cfi+2164e89v0eu62Xd2uLx+zN/4sv83PrEnzY5Ku/pn0xr8/JjFtfrr6d7o39FSvZ/++W5b1zcVWH/Tpp59akqwdO3b4jS9YsMCaOHHiBbdZunSpJYmFhYWFhYWlHyz19fXfmBf65JWYrsjPz1dubq79uqOjQ01NTRo6dKiCgoK65Zg+n09xcXGqr6+Xw+HolmPgb5jvnsV89yzmu2cx3z2rM/NtWZZOnDght9v9jfvtkyFm2LBhCgkJUUNDg994Q0ODXC7XBbcJDw9XeHi431hkZGR3tejH4XDwl6AHMd89i/nuWcx3z2K+e9bFzrfT6byo/fXJ58SEhYVpwoQJqqiosMc6OjpUUVGhpKSkXuwMAAD0FX3ySowk5ebmKiMjQwkJCZo4caJWrFihU6dO2XcrAQCAS1ufDTF33XWXPvvsMy1ZskQej0fXXXedysrKFBMT09ut2cLDw7V06dLzPsZC92C+exbz3bOY757FfPes7prvIMu6mHuYAAAA+pY++Z0YAACAb0KIAQAARiLEAAAAIxFiAACAkQgx36CoqEgjR45URESEEhMTtXPnzq+tf/XVVzV69GhFRERo/Pjx2rJlSw912j90Zr6ff/55TZ48WUOGDNGQIUOUnJz8jX8+8NfZn++z1q1bp6CgIM2cObN7G+xnOjvfzc3Nys7OVmxsrMLDw/Xd736Xf1M6obPzvWLFCo0aNUoDBw5UXFyc5s+fr9OnT/dQt2arrKzUjBkz5Ha7FRQUpI0bN37jNm+99Zauv/56hYeH6+///u9VUlLS+QN/+9901H+tW7fOCgsLs1588UVr37591ty5c63IyEiroaHhgvXbt2+3QkJCrMLCQmv//v3Wgw8+aA0YMMDau3dvD3dups7O9+zZs62ioiJrz5491oEDB6yf//znltPptI4ePdrDnZups/N91qFDh6zvfOc71uTJk62f/vSnPdNsP9DZ+W5pabESEhKs6dOnW++884516NAh66233rJqa2t7uHMzdXa+S0tLrfDwcKu0tNQ6dOiQ9cYbb1ixsbHW/Pnze7hzM23ZssVatGiRtX79ekuStWHDhq+tP3jwoHXZZZdZubm51v79+61Vq1ZZISEhVllZWaeOS4j5GhMnTrSys7Pt12fOnLHcbrdVUFBwwfo777zTSk1N9RtLTEy0fvnLX3Zrn/1FZ+f7XO3t7dbgwYOttWvXdleL/UpX5ru9vd268cYbrf/8z/+0MjIyCDGd0Nn5Xr16tXXllVdara2tPdViv9LZ+c7OzrZ+9KMf+Y3l5uZakyZN6tY++6OLCTEPPPCANW7cOL+xu+66y0pJSenUsfg46Su0traqpqZGycnJ9lhwcLCSk5NVVVV1wW2qqqr86iUpJSXlK+vxN12Z73N9/vnnamtrU1RUVHe12W90db4feeQRRUdHKzMzsyfa7De6Mt+vvfaakpKSlJ2drZiYGF1zzTV64okndObMmZ5q21hdme8bb7xRNTU19kdOBw8e1JYtWzR9+vQe6flSE6j3yz77xN7e9te//lVnzpw57wnBMTEx+uCDDy64jcfjuWC9x+Pptj77i67M97kWLlwot9t93l8MnK8r8/3OO+/ohRdeUG1tbQ902L90Zb4PHjyorVu3Kj09XVu2bNHHH3+se+65R21tbVq6dGlPtG2srsz37Nmz9de//lU33XSTLMtSe3u7fvWrX+lf//Vfe6LlS85XvV/6fD793//9nwYOHHhR++FKDPqFZcuWad26ddqwYYMiIiJ6u51+58SJE5ozZ46ef/55DRs2rLfbuSR0dHQoOjpaa9as0YQJE3TXXXdp0aJFKi4u7u3W+qW33npLTzzxhJ577jnt3r1b69ev1+bNm/Xoo4/2dmv4GlyJ+QrDhg1TSEiIGhoa/MYbGhrkcrkuuI3L5epUPf6mK/N91tNPP61ly5bpj3/8o773ve91Z5v9Rmfn+3//93/1ySefaMaMGfZYR0eHJCk0NFR1dXW66qqrurdpg3Xl5zs2NlYDBgxQSEiIPTZmzBh5PB61trYqLCysW3s2WVfme/HixZozZ47+5V/+RZI0fvx4nTp1SllZWVq0aJGCg/n//IH0Ve+XDofjoq/CSFyJ+UphYWGaMGGCKioq7LGOjg5VVFQoKSnpgtskJSX51UtSeXn5V9bjb7oy35JUWFioRx99VGVlZUpISOiJVvuFzs736NGjtXfvXtXW1trLT37yE916662qra1VXFxcT7ZvnK78fE+aNEkff/yxHRYl6cMPP1RsbCwB5ht0Zb4///zz84LK2QBp8SsGAy5g75ed+87xpWXdunVWeHi4VVJSYu3fv9/KysqyIiMjLY/HY1mWZc2ZM8fKy8uz67dv326FhoZaTz/9tHXgwAFr6dKl3GLdCZ2d72XLlllhYWHW73//e+svf/mLvZw4caK3TsEonZ3vc3F3Uud0dr6PHDliDR482MrJybHq6uqsTZs2WdHR0dZjjz3WW6dglM7O99KlS63Bgwdb//Vf/2UdPHjQevPNN62rrrrKuvPOO3vrFIxy4sQJa8+ePdaePXssSdby5cutPXv2WIcPH7Ysy7Ly8vKsOXPm2PVnb7FesGCBdeDAAauoqIhbrLvDqlWrrOHDh1thYWHWxIkTrXfffdde98Mf/tDKyMjwq//d735nffe737XCwsKscePGWZs3b+7hjs3WmfkeMWKEJem8ZenSpT3fuKE6+/P9ZYSYzuvsfO/YscNKTEy0wsPDrSuvvNJ6/PHHrfb29h7u2lydme+2tjbroYcesq666iorIiLCiouLs+655x7r+PHjPd+4gf70pz9d8N/js3OckZFh/fCHPzxvm+uuu84KCwuzrrzySuull17q9HGDLIvrZAAAwDx8JwYAABiJEAMAAIxEiAEAAEYixAAAACMRYgAAgJEIMQAAwEiEGAAAYCRCDAAAMBIhBgAAGIkQAwAAjESIAQAARiLEAAAAI/0/mnKxTUV6Ay0AAAAASUVORK5CYII=", "text/plain": [ "
" ] @@ -543,7 +543,7 @@ " swap_test(state1=phase_exact, state2=phase_approx, test=test)\n", "\n", "\n", - "quantum_program = synthesize(create_model(main))" + "qprog_2 = synthesize(main)" ] }, { @@ -556,12 +556,12 @@ "name": "stdout", "output_type": "stream", "text": [ - "" + "Opening: https://platform.classiq.io/circuit/2twgP5ve4rRtodhWwUgorm8Mk8l?version=0.70.0\n" ] } ], "source": [ - "show(quantum_program)" + "show(qprog_2)" ] }, { @@ -579,7 +579,7 @@ "metadata": {}, "outputs": [], "source": [ - "result = execute(quantum_program).result()" + "result_2 = execute(qprog_2).result_value()" ] }, { @@ -589,7 +589,7 @@ "metadata": {}, "outputs": [], "source": [ - "test_counts = result[0].value.counts" + "test_counts = result_2.counts" ] }, { @@ -614,7 +614,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Fidelity (overlap): 0.954\n" + "Fidelity (overlap): 0.958984375\n" ] } ], diff --git a/tutorials/advanced_tutorials/linear_combination_of_unitaries/linear_combination_of_unitaries.ipynb b/tutorials/advanced_tutorials/linear_combination_of_unitaries/linear_combination_of_unitaries.ipynb index 3c5cb17f2..3fcd43aef 100644 --- a/tutorials/advanced_tutorials/linear_combination_of_unitaries/linear_combination_of_unitaries.ipynb +++ b/tutorials/advanced_tutorials/linear_combination_of_unitaries/linear_combination_of_unitaries.ipynb @@ -126,7 +126,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 1, "id": "58e277dd", "metadata": {}, "outputs": [], @@ -169,7 +169,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 2, "id": "1fe3de0d-c13c-42cc-babd-77c577372874", "metadata": {}, "outputs": [], @@ -195,7 +195,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 3, "id": "82854a21", "metadata": {}, "outputs": [], @@ -211,8 +211,9 @@ " apply=lambda: select(controller, psi),\n", " )\n", "\n", - "quantum_model = create_model(main)\n", - "quantum_program = synthesize(quantum_model)" + "\n", + "qmod_1 = create_model(main)\n", + "qprog_1 = synthesize(qmod_1)" ] }, { @@ -225,7 +226,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 4, "id": "262dd6f5", "metadata": {}, "outputs": [ @@ -233,12 +234,12 @@ "name": "stdout", "output_type": "stream", "text": [ - "Opening: https://platform.classiq.io/circuit/2sDTrI2KmNNYeCfOTeSOrt4W0sC?version=0.66.0\n" + "Opening: https://platform.classiq.io/circuit/2twhaKXfhxHpjDTuYqwIlUebB8c?version=0.70.0\n" ] } ], "source": [ - "show(quantum_program)" + "show(qprog_1)" ] }, { @@ -290,7 +291,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 5, "id": "03804a1a", "metadata": {}, "outputs": [ @@ -298,7 +299,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Opening: https://platform.classiq.io/circuit/2sqWYKfPmYSb9oL9myDA0jJsCye?version=0.66.1\n" + "Opening: https://platform.classiq.io/circuit/2twhb9xii5m4B8N1K4wz3d8EkTk?version=0.70.0\n" ] } ], @@ -321,7 +322,8 @@ " error_bound = 0.01\n", " controller_probabilities = [0.5, 0.25, 0.25, 0]\n", " inplace_prepare_state(controller_probabilities, error_bound, controller)\n", - " \n", + "\n", + "\n", "@qfunc\n", "def main(controller: Output[QNum], psi: Output[QNum]):\n", " # Allocating the target and control qubits, respectively\n", @@ -333,10 +335,11 @@ " apply=lambda: select(controller, psi),\n", " )\n", "\n", - "quantum_model = create_model(main)\n", - "quantum_program = synthesize(quantum_model)\n", "\n", - "show(quantum_program)" + "qmod_2 = create_model(main, out_file=\"linear_combination_of_unitaries\")\n", + "qprog_2 = synthesize(qmod_2)\n", + "\n", + "show(qprog_2)" ] }, { @@ -351,16 +354,6 @@ "[2]: [Lecture Notes on\n", "Quantum Algorithms (Andrew M. Childs)](https://www.cs.umd.edu/~amchilds/qa/qa.pdf)" ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "5937706e", - "metadata": {}, - "outputs": [], - "source": [ - "write_qmod(quantum_model, \"linear_combination_of_unitaries\")" - ] } ], "metadata": {