{ "cells": [ { "cell_type": "markdown", "id": "69a159c7-51fd-4d6e-98ee-0458927295aa", "metadata": {}, "source": [ "# Postselection using bit-flip checks\n", "\n", "In this guide we will learn what bit-flip checks are and how to implement them in software with ``qiskit-addon-utils``. We will start with a small, 2-qubit example to visualize the checks and discuss how they work. After we have built up some intuition, we will move on to a ``20``-qubit example where we implement checks and compare various postselection strategies.\n", "\n", "#### What are bit-flip checks?\n", "Bitflip checks are measurement based tests of whether a qubit's state is likely corrupted by a non-Markovian error source. This test is done by placing a a bit-flip gate with extended duration (``xslow`` or a series of $N$ ``rx`` gates with angle $\\frac{\\pi}{N}$) on each qubit at the beginning of a circuit, followed by a regular ``XGate`` and measuring to ensure the state succesfully flipped from $|0\\rangle \\mapsto |1\\rangle \\mapsto |0\\rangle$. This test can also be performed at the end of the circuit after each terminal measurement to ensure the device can successfully flip the measured state of the qubit from $|x\\rangle \\mapsto |x\\oplus1\\rangle$. Samples associated with failed checks may be considered unreliable, and postselecting only samples that pass all checks can boost the fidelity of the noisy distribution.\n", "\n", "#### Strategies for postselecting based on bit-flip checks\n", "- **Node-based postselection**: Postselect only samples for which each qubit passed its check(s). This is the strictest strategy and generally results in more samples being discarded.\n", "- **Edge-based postselection**: For each edge in the qubits' coupling graph, ensure at least one qubit passes the check(s). This strategy is more lenient; if a qubit fails a check, the sample may still be kept if all its neighbors pass their checks.\n", "\n", "#### Spectator qubits\n", "One can specify \"spectator\" ancilla qubits that are adjacent to the qubits used to execute the original circuit. Bit-flip checks may be placed on these spectators, providing more coverage against the non-Markovian noise these checks are designed to detect." ] }, { "cell_type": "markdown", "id": "5a7ce524-da69-41e2-948c-d2743ae9b603", "metadata": {}, "source": [ "### Part 1. Visualize bit-flip checks\n", "\n", "Before we demonstrate the technique on a QPU, let's create a small, 2-qubit circuit and add checks to visualize how it works. We will start with a Bell state transpiled to the ``ibm_kingston`` backend QPU." ] }, { "cell_type": "code", "execution_count": 1, "id": "1b52a0f7-7f16-4df3-94b9-06072db135b4", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit import QuantumCircuit\n", "from qiskit.transpiler import generate_preset_pass_manager\n", "from qiskit_ibm_runtime import QiskitRuntimeService\n", "\n", "service = QiskitRuntimeService(channel=\"ibm_quantum_platform\", instance=\"services-premium-us\")\n", "backend = service.backend(\"ibm_kingston\")\n", "\n", "qc = QuantumCircuit(2)\n", "qc.h(0)\n", "qc.cx(0, 1)\n", "qc.measure_all()\n", "qc_isa = generate_preset_pass_manager(optimization_level=0, backend=backend).run(qc)\n", "qc_isa.draw(\"mpl\")" ] }, { "cell_type": "markdown", "id": "3336a9e9-01d2-4b57-afcf-2101edc19f26", "metadata": {}, "source": [ "Now we add some bit-flip checks to the beginning of the circuit. **Checks will only be placed on qubits that are terminated with a measurement**. These checks ensure the device can successfully flip the qubit's initial state from $|0\\rangle \\mapsto |1\\rangle \\mapsto |0\\rangle$, and these checks' measurements are read out in a new classical register called ``meas_pre``." ] }, { "cell_type": "code", "execution_count": 2, "id": "5e75209c-74c9-44cf-80ea-1b0cbe9e3606", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit.transpiler import PassManager\n", "from qiskit_addon_utils.noise_management.bit_flip_checks.passes import AddPreCircuitBitFlipChecks\n", "\n", "qc_w_checks = PassManager([AddPreCircuitBitFlipChecks()]).run(qc_isa)\n", "qc_w_checks.draw(\"mpl\", idle_wires=False)" ] }, { "cell_type": "markdown", "id": "7c9da765-6915-41c1-b869-e43deb71e0fc", "metadata": {}, "source": [ "Similarly, we can add checks to the end of the circuit after each terminal measurement. These checks ensure the device can flip the qubit's state from $|x\\rangle \\mapsto |x\\oplus1\\rangle$, and their measurements are read out in a new classical register called ``meas_ps``." ] }, { "cell_type": "code", "execution_count": 3, "id": "2ed2b6e8-1c9d-4b10-9374-6908d5ba6b1f", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit_addon_utils.noise_management.bit_flip_checks.passes import AddPostCircuitBitFlipChecks\n", "\n", "qc_w_checks = PassManager([AddPostCircuitBitFlipChecks()]).run(qc_w_checks)\n", "qc_w_checks.draw(\"mpl\", idle_wires=False)" ] }, { "cell_type": "markdown", "id": "4b1a618a-66ef-4eb9-b062-e91fa51c81db", "metadata": {}, "source": [ "As mentioned in the intro, we can use ancilla qubits that are adjacent to the data qubits as \"spectators\" to provide more error coverage. Here we add pre-circuit and post-circuit spectator checks. We see that since physical qubit ``2`` on ``ibm_kingston`` is adjacent to data qubit ``1``, it has been added as a spectator, and pre- and post-circuit checks have been added to it. The spectator measurements have been added to new classical registers called ``spec_pre`` and ``spec``.\n", "\n", "A circuit such as this contains all possible bit-flip checks, so sampling from this circuit gives users the ability to postselect based on any combination of [pre/post]-circuit checks and [node/edge]-based postselection strategy. See Part 2 of this guide to see how it works on quantum hardware." ] }, { "cell_type": "code", "execution_count": 4, "id": "29965ec1-0fea-4162-9fbf-8af972d8c76c", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit_addon_utils.noise_management.bit_flip_checks.passes import (\n", " AddSpectatorPostCircuitBitFlipChecks,\n", " AddSpectatorPreCircuitBitFlipChecks,\n", ")\n", "\n", "qc_w_checks = PassManager(\n", " [\n", " AddSpectatorPreCircuitBitFlipChecks(coupling_map=backend.coupling_map),\n", " AddSpectatorPostCircuitBitFlipChecks(coupling_map=backend.coupling_map),\n", " ]\n", ").run(qc_w_checks)\n", "qc_w_checks.draw(\"mpl\", idle_wires=False, fold=-1)" ] }, { "cell_type": "markdown", "id": "e7c604e0-acac-491b-ba25-03eebfff0ab9", "metadata": {}, "source": [ "### Part 2: Demonstrate bit-flip checks on QPU and compare postselection strategies\n", "\n", "Now that we have an understanding of what bit-flip checks are and how they are implemented in software, let's run a larger example on a QPU and see how it works." ] }, { "cell_type": "markdown", "id": "6e6d9173-b5e2-424c-9c94-595745a0679e", "metadata": {}, "source": [ "First, we prepare a circuit. The choice of circuit isn't very important; we just want a circuit for which we can easily verify the output. Here we choose a ``20``-qubit, 1D mirrored Ising circuit. This circuit is non-trivial to execute on hardware and should be affected by non-Markovian errors, which gives us the ability to demonstrate the effectiveness of the bit-flip checks. Also, the mirrored structure allows us to trivially compare the noisy expectation value calculations against exact values.\n", "\n", "In this experiment, we are calculating observable expectation values. The choice of observable $O$ isn't important either, so we simply choose the average single-site magnetization $O=\\frac{1}{N}\\sum_i\\langle Z_i\\rangle$." ] }, { "cell_type": "code", "execution_count": 5, "id": "04f01a93-874c-4b95-bfb9-8e29caa7eaff", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "two-qubit depth: 24\n", "total depth: 85\n" ] }, { "data": { "image/png": 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EJz/5yfjWt74VO+64Y+n79fX1GhcDAABAB1fY5sWzZ8+OE044odS0+Kyzzorp06fHQw89VPr6u9/9btx8880xduzY0sTG3nvvHR3Bz3/+83j00UfjqKOOigkTOmbHq+uuu670+fDDD1/nZ+eee27p8fz85z9f+ltmzpwZCxcujHvvvTeOP/740r8/+9nPxk477RTVqtfuh0b/I0+JOfdcFwueXrdJc1K/fGlM+M67otcer4sh7/lyVL2amoiaiIb65stoH7ngNzHn6Ukx5pwPRI8h/Zv9bI+PHh+DD90zHrngupj7bLF24hIDecdAjuc/Nab46oMbXkjf1NjZET8vWKOmCx6PmLigdbdNDUy+OLbYm03k+DyQCxs5/3nnwVxj4NYplW0u+/0nIsZvpLljNUmba//3A+XmzK3x2JyIy5+JwsrxOSAPNicGGsmF+YwD33603Ji4NeYtj/jSA8W6sCptHvDbCjaXTZvOPFmwRk1NGQcbGQfzGQfVQ3mPAXOXljehbe38aGpU9IuCzY9+7/GISa2dH11hfrSIzwPjYN7joPPfXJYxkLnUuDfNj7b2vb9HX4m4ovn+VIXYhPW5Vs55p43702a8G2vmU82yHAesG8r7/CdiYI1sYyBjS1etA1rWytz29KsRFxdsI9K0AetTc1t321QDfPGBYm3A9+yr5XqotW6cFHHHtM15j9gaDSv/Nr31t//WIxHTW/m+WjXKMheqhZoRA3m/V5jj+U/rx7/7WOtv/+epG294T3VJa0fTGtLW+t5jERPnR2HlOA6oBZoTA43UAnmMATMWRXzzkdbf/m9preELm/MesaXdOb0839NaFz0V8Uwr59KqkTyQdx5IxEDeMZDj+X9lacTZD224aW1T980qN6qhOO6dGfGrCZU1N3zk5SisHMcB8wLNiYFGaoE8xoD5yyO+8mDr148+9HLxGtnn7sHZlZ3TVAv+c1YUljyQdx5IxEAjMZDHa4K0DjKth2zttRFPzo24tMB77eQo7ReR9o1ord9WuNaw2sgDjeSBPPJAifWjzWQ5DgC0IDXlvPjii9c05wSoZqnB8EUXXRTPP19e7JAaFZ9zzjnxn//5n9GlS5eKf9/IkSPjwx/+cNTV1TX7/nHHHRfdunVrt/sNAAAAtI/CNi/+1Kc+FVOmTIkzzjgjLrjggujdu/ean33hC1+IffbZJ1asWBEjRoyIPn36REfw/e9/P0455ZTS/U4NjCdOrKArxhZwyy23xB/+8Ic1j+HaTj311Ljxxhtjl112idNOOy0GDx5cmmx63eteF9OmTYurr746zj///Kh2Q977tYjaTjHt/85u8ecvXvbxqF++JEaceVUUwaD9do7ZD49f5/v1y1fE3WdeEnU9usZhF35izff77LR97P/f/xkvPTgunrjspigiMZB3DOR2/v/0YsTilZVv2LeiIBtSz14S8ZcKN5ScuijivplRaLk9D+TC5pz/vPNgjjFwXYUbCDWsyoVFkTbeSxdYVuIPL0YsqbB+qCa5PQfkwXWJgTK5MI9xYMrCiHsqfH0zfn75YvuiqLQWSCppdlyNjINlxsE8xsFEPZT3GHDT5Mpf39wwqTjzoy8tibizwvnRKYuKveFKjs8D42Bzzn+ZWiifMSB3aX50QYXN934/qTjzo68uq6w5y+r64a4Cb7iSyAV554Lczn+iHmwuxxjIWVoz9Mqyyo65eXLEggrfX+2oFq2IuOnFyuuH2wvUvLctDYd+o0lRYTQ0VP4+0YqGiN9V0NSoGuWWC9VC6xIDZV4T5TEGpHWAlb7lc92Ecg6h+qXz+OsKa4EUL9dbM1KocUAtsC61QJlaIJNaIK3/aKh8XkAtUByptquU9aPFGgfUAutSC5SpBfKoBdL1cUsrnBhIrwmLsn6Utl1L8hvzAoUaB9QC61ILlKkF8qgF0vqPhRWuH71xUsSygqwfpW3rP4q+ZkQeyDsPJGKgTAzksW7otmnl9ZCVSOstF1dYP9BxtWW+37xAccaAxLzAutQCZWqBPGoBgPVZuXJlLFiwoPQZoNrdcccd8eijj5b+3bNnzzj77LNj1113bfPvS02Qv/Od75R6/zT185//PBYtWrTJ9xcAAABoX4VsXvz000/HddddFwMHDozzzjuvxdsccMABpc+pifH6HHvssVFTUxPnnHPOJt+n1JA4NSPe0MeLL75Y+r/e8IY3lP6dGhinzx1BmvRJjZVXN4Y+9NBD17lNQ0ND6XYvvfRS1NbWlhpD77333tGjR4+YNGlSXH755aVzU+26Ddk5+h/+vpj/2J0x/8m7m/1s1h9/FK8+8KfY6Uu/j9quPaLabHfw7lHTqfmwMPSo/WLq3x5p8favPP5CPHbxjTH0yH1j9MlHR01tbRz+o/8q/SwtsGyoL+bVVWIg7xgo8vlf30YLlXp5acRdM6IQ0oLQSjeaiAw2HSry80Au3DjnP+88WPQYWNszr0Y8ObdtFySmjZyLoC2NmOctj7hjahRWkZ8D8mDriIFGcmHxxoGWGi61ZU/dorwmmrggYuzsyo+7fWrlFyRWE+NgI+Ng8cZB9VDeY8Da0maybXlNlBr2/aMg86Np872VbSgG2vK4VZMiPw+Mgxvn/DdSCxVvDKB9ctqryyPuLEjDvj9Nrnwj3iLNC6yPXJB3Lijy+U/UgxtX9Bhg02uBRSsj/jylGI/kbVMr34i3SLVAakJ9axvO5cOvRIyftznuEVvagy9HTFrQtvfXitycosi5UC3UOmKgkddExRoD1rZkZcQf23A517h5bVtzSMeTzuOzr1Z+3B8nRywpyPrRlsgDeeeBRAzkHQNFPv9rS6/r/tCGa+peXBjxQBvWHNLxPD+vPM9TqTQ3OH95FFaRxwHzAq0jBhqpBYo1Bqytvo3rR2cujrh31ua4R2xpUxdG/LMN5zKtGXplaRSWPJB3HkjEQN4xUOTz35K21AJzlkX8dfrmuDdsabOXtG3fpHtmRkwvcP+FIo8D5gVaRwzkXQsUPQbaoxZI6y3Tukuq37xl5f0iKpXeI5o4PwqryGOAWqB1xEAjtUDxxgGA1nruuedKvSPSZ4BqNmvWrPjVr3615uszzzwzdtxxxzb/vtSb5tvf/vaaJsW77bZb7LnnnqV/v/LKK3H11Ve3w70GAAAA2lNdFNC1114b9fX1cdJJJ0WvXr1avE337t032Lz4N7/5TTzySMsNW9vi8MMPr/iY1ND45JNPjn/84x+xNc2YMSOOOeaY0gTPm9/85rjgggtavN3pp59ealB80EEHxe233x6jR48ufX/x4sXx9a9/Pc4///w45JBD4vHHH48ddtihTfflwAMPLN2f1qrp0j22u6j9J/MHv+cr8crd18a0/zs7dv3230rfm//Y32LK1V+MXc6+NbpuN6LNv3v06F2iYdnidruvnRtq4+sxZqO3G/G2Q+Ow758ed37gOzHjvicbj+/TI5bPX/+q2Ed/cH3s+OYD48CzT43+e46IQfvvEvefc1XMe77tu/GO3mV0LK9pn8V3YqD6YqA9z//mioHNOQZsjnGgzTp3i8E/HN+mQ8/4xg9iwc3fj2rX97RLo/uBb6/4uH88Oy2GvXvjz7stIfdxsLVjYGIcLOY4WG15MMk9F3aYPJgWzL723dHvAxe1aUPqPQ55Q6yYPi6qWk1NbHfxxKip7VTxoZ+/4PL4+O/+JzqCansOJMZBrwnNC4iBjpIL+33iF9HtNW+s+LhbHng2rnlH5cd1NF33e2ts85HLKz5uWX3Evm84IZZPfDi2ttxfEya5vyYQA9UXA7m/JuxIrwtruvaI7X7Qttd1p5/z/Vh4yw+i2vX90I+j+wEnVHzcXU9NiWEnHhwdQe7joPlR42C15cEk91zYUfIgq+dHJ5U2EqrU5773k/jYjd+q+oexzynfjx6HvLfi48ZOeiWGvXfv6AjUAt4rrbY8kKgH1QJqgY5j2x+Ma9PGOWdf+ov49K+/EtWu93/8T/Q88v9VfNyTLy2JYcN2jmpXt8NrYuCX/tymY4859ZOx5IE/tPt9YsvqcdSHos97vtGmDalH7X1Q1M/d+rtS514PJ7nPjeQeA+ZHq29urCPNj3XadlQMOqdt13K982Ofj8X3Xdvu94ktq/uh/xl9Tz6/TRtS7zrm9bFy1oTY2nLPA4laIO8YUAuoBTZFbd/Bse15D7Tp2JM++/VY9LefbdL/z9bX7YC3Rb8PXVbxcUvrI/Z6/bGxYvLjsbWpBdQCYqD6YiD3NTMdaV6gpnuf2O77T7Xp2I9+9bux8M8Xt/t9YsvqutfRsc3pV1V83MqGiAPecmIsH//v2NrkgerLA4n3CPKeG1ILdJxaIGrrYvAlbehYGBGfPvfiWHDTd9v9LrFldRl9aPT/9G8qPq4hIg57xymx7Klyrbw1qQWqLw8kagG1QEefF6im94k21XY/fD5qOnet+LgvXXRlnPHbszfLfWLL6Tx83xjwxT+16dg3vv9jsfThm6MjqLb5QesF1AJiQAx0pFoAyMe73/3uipt9Jrfeems8+OCDrTrmne98Z1S7d/6/T0fPXn1i+ozpMWzYsHW+zkHuj4G/v/rOf5cuXeK8885b789/97vfxdKlS0v/fuMb3xh77713uzUu3n333eOLX/xiLFiwID7/+c+XetTcddddccIJJ8TQoUPX+3tST5tly5a1+X4AAABArgYPHhwPPFD5tZCFbF7817/+tfT5qKOOWu9tpkyZst7mxfPmzYtPf/rTpSa9qXlwe9hrr71KkzWt8fLLL5caF6+eZNmaVjcsHj9+fBx22GFx4403RufOnde53aOPPhpXXHFF6We//e1vY/jw4c0aRX/ve9+Lhx56KO68884499xz48c//nGb7k9qXDx16tRW3z5tHLddG/6f3nsdGQf8IS0HbVn3HXaPA25cuebrpTMnxoTz/yOGffD80rGbYtq0aVG/dP2LFivVpaZTtOZBmHjTfdFn5ODY4S0HrVlE2XPowFg45aUNHtewYmXcfeYlcfyt34ndPnhMzPz30/HUFZu2aGba9GmxrKHx8d0UYqD6YqA9z39bY2BrjgGbYxxoq069tonBbTx2wdLlFY3XHVW3FQ3RvQ3H1dd27jB/f+7jYGvHwMQ4WMxxsNryYJJ7LuwoeTAZuGhJ9GvjsS/NnReLOkguaKuaus4xuA2Ni5OFy1ZUdS40DhZnHMy9Fkpyz4ViYNP0qK+JblX+mmhT9N95YWzTxmNnz50XCzrAY+A5YBwUA9UXA7m/JuxIrws79R7QployWViU+dGVbZwf7dRxaoHcx0Hzo8bBasuDSe65sKPkQaK00czgNjQuLlIt0GV5fVTerjGioVOXDvP3qwW8V1pteSBRD6oF1AIdx3Z1lW88lyxatrLD5MJNMXz5yujZhuNqOneLqdOmRTSsfyytBj177xgD23js3AWL4uUCxEDutlu0JPq08dhZL8+JpTO2fgzkXg8nuc+N5B4D5kerb26sI82Pde88IAa18dhXFy2Jl9QCVW/QwsXRt43HvjTn1VjcAWIg9zyQqAXyjgG1gFpgk+JnZdfYto3Hzlu8NGZ2gDzAphmw2+I2X0uS1o8u7AAxoBZQC4iB6ouB3NfMdKR5gbp+K9q8fnTB4mUxrQPkATZNv+Ftv5bk5Vfnx/wOEAPyQPXlgcR7BHnPDakFOk4tUNu9V5v32ulI19fTdn0GL4j+bTx2zvyFMbcDxIBaoPryQKIWUAts7XmBIr1PtElqamJwGxoXJ4vUAoXQq++oGLAJ60df6QC1QDXOD1ovoBYQA2Kgw9QCQFYWLlxY0e1TA87Vn1t7bBHmC+tXrlzzOf09a3+dg9wfA39/9Z3/rl3XP7eRmgrfe++9pX/36NEjTjrppHZvXNytW7fSx7ve9a741a9+VfrZHXfcER/4wAc2WA+ubqgMAAAAbH6FbF48adKk0uemDXSbWrFixZqJkZaaF3/lK1+J0aNHlyZM2qt58U033RQjRozY6O1SU+Ujjjii9O/3vve9cdlll8XWkpo4H3PMMfH444/H/vvvHzfffHNpIqkl6fFsaGiIXXbZZb2Pe2qCnJoXjx07dpO6dFeipktbtlSvTHpz8/nz3hF9x7wttn3rGZv8+7bffvtoWFZ+I6I9dG6ojahv3W0n3Xp/vPGqL8bYr19V+nqHNx0Yk2/feFf05fMWRf2yFdGpS+eYcudDm7zp3PZDto/lNa280xshBqovBtrz/G+JGGjvMWBzjANtVlMbDStXRE2nysuFnjUrYujQoVHtutQvadNxNUvmdZi/P/dxsJIxMDEOFm8crLY8mOSeCztMHkxvuNdVfi7T66KampoY2KNzrOwguWBT1C9ZELXdelV8XI9Ynk0uNA527HEw91ooyT0XioFN02VF2xb11y7tOK+JNkWXLjVtrgUG9OgcfTvAY+A5YBwUA9UXA7m/JuxQrwtr66KhfmXU1Haq+NAeRZkfXdm282B+dNOYHzUOmh/NOwY6TB5kzflNm3XkWgt0rW/jxV2LX+0wf3/ur4m8V1p9eSARA2oBtUDHUb9oTnTqXXn72u6xrMPkwk3RrWFZm46rXzg3hm6/fVS7Tt3rms37V6Jvl5roVoAYyF33Tm1/bTqod7do6LT1YyD3erga3yNIvF/uNVHOc2MdaX6stmeXNtcCfeoaootaoOp167wJ60d7dYn6DhADagG1QO4xYH5ULbAparp3a/OxvTs1RF0HyANsmq6do+3rR3t2jn4dIAZyzwOJeQExUG0xYP1ox5kXiLqu0VBfHzW1tRUf2rPTykK8T5S7Ll0rv5Zktf7d66JPB4gBtYBaQAxUXwyoBTpQLZBe4y1fGjVtaFrYka6vp+06d6v8OqLV+nWrjZ4dIAbkgerLA4n1AnnPDVVbLVAN84ObIq2DrO3Zr+LjuqsFCqGuR9vXj/brWhPdO0AtUI3rhrxHoBYQA2KgI9UCQD569uxZ0e1XNyzu3r17q48twnxhbadOaz6nv2ftr3OQ+2Pg76++89+lS/l6iJb8/e9/j+XLl5f+nfrhrK/vzKY0Ll7tqKOOit/+9rexbNmy0v+b+u40/fna9WC6HQAAALB5e7oWunnx6kncxYtbftPpuuuui9mzZ0fv3r1j5MiRzX72wAMPxP/+7//Ggw8+GFva1KlTSxMpEyZMiHe/+93xy1/+MjqtmoTa0tJkz/HHH19qNJwmfG677bbo27fvem8/f/78Vv/uJUva1ghy9fmpxOIVEYffEpvVnPtuiMUvPBpLpo6LOfdct87P97zkqegyaMdW/75x456LVXuetYvli5bEr3ZqXRPuV8dNiWiI6Dd6WMwdNyV6jxwc86+audHjDrvok1HbuS7mjpsce3/6xJh4030xf9LGj1ufcc+Ni8492n6Bd1NioPpioD3P/5aIgfYeAzbHOLApPnd/xF0zKj/uth99OUb0/nJUu3/MiPjs/ZUf96HDdor/mjIlOoLcx8FKxsDEOFi8cbDa8mCSey7sSHlw/vKIY2+PWLKy9cekRee79IkY+8g/o8L15x3S1x6KuLUNKe333/l07PaTT0dHUG3PgcQ46DWheQEx0FFyYcoBKRdU6lNv2Tc+9F8d4zXRpliyIuKY2yMWrKisFtihZ8T9/74jajtALZD7a8Ik99cEYqD6YiD314Qd7XVhmhtMc4SV+sslX43hvb4a1e6u6RGfG1v5cR85fJf4pPnRNcyPVsY4aF4g9xjoSHmQiK88GHHb1MofiT987zOx6+WfqfqH8N8vRXzyn5Uf9/4Dhsbn1QJrqAUqk3seSLxfnncMqAU6lm8/GnHjpMqPu/brH499f/TxqHaPvRJx2j2VH/eO3fvF2R2kFtgUaR/J9/wtYuKCyib7e9ZF/P2mK0ufqW4vLYk4/i8RKyvcU3T/ARFXjHsiOgLvEVTfewSJ94msH825Hu5INXGqBU79R8TTr1ZWC3SpjXjgN5dEvy6XbLb7xpYxd1nEW2+PWFpf2ZqR3fpGjH1sbIdYP6oWUAvkHgOuJVELbKqP3hvx0MuVHdOpJuK+X3w3BnX77ib//2xdi1aUryVZWOH60eG9IsaOvUst0EHmyM0L5F0LVGMMeK+048wLJGf+K+LeWZUf99cfnxPDep6zOe4SW9DSlRFv/Ut5fqASg7tH/PveW0p14daW+2vCaswDifcI8o4BtUDHqgX++4GIO6ZVftzNF34hdv7pFzbHXWILWlEf8bY7ImZVuE1e/y4R/7zz+uhcG1udWqD68kCiFlALVNN6gWp4TbApvvFwxB8nV37c9d/6ZLzm0k9ujrvEFlTfEHHiXyMmL6zsBX6vuoi7/3R1h4njals3ZF5ALSAGxEBHqgWAfKTeC5V45pln4tprr41jjz02dtttt1Ydc9FFF0W1O/fSX8W8BQtjyOAhMWXKlHW+zkHuj4G/v/rO/4oVK+KGG25o8WePPPLImn+/8Y1v3GyNi5NevXrFwQcfHP/4xz9Kt33uuedir732avF3jhs3LurqFIQAAACwpdQVtZPznDlz4qGHHopDDjmk2c+mT58en//850v/3nvvvUsXA662cuXK+NjHPhZnnHFG7Lnnnlv8fn/jG9+I8ePHxzvf+c7SJPTWmiRZtmxZ6T7cfffdsdNOO8Udd9wRAwcO3OAxo0ePLn1OEz+TJk2K4cOHr3Ob22+/vfR51113jSIZcNQppY+imPyXB2KHtxwUC6bMjuULWm4A3tTuHzouhhz2mnjwvP+LyX++P064/fw47AefiD+/6+uRCzGQdwwU7fyv7d0jKm9efNDAiBG9oxAO2658oeCMjQ+Ha6TK4l3rpsFCK9rzQC6sjPOfdx4sYgw01btzxDFDI37/YuX5syNsPNce3jOi8ubFr9kmYrd+kY2iPQfkwcqJAbmwaDHQ1BuHRHy/S2UbrtTVRLy9sr2HO6xudREn7Bhx7YTKjjtxRHSIxsVbStGeA3Jh5cRA3rmwaOe/pddElTYvHjMwShuRFsHrtovYrlvEzAo2XDE/Wv3kwrzHQee/ckWLAdatBSptXrz3NhG79i3GI5ne992xZ8SLCyufI89J0cYBuSDv85+IgcoUMQZontMqbV68c++IffoX41Hca5uI0X0ixs2rvIYqgvSef4qBCyrsQXvcsHIDY6rfoG4RRw2pfENq9XB1UwtVrmj1kBjI+/yvUwuMjPifxn15WuXNQyP6ddlc94otKZ3HdD4r3ZC6SOtHcxwH5IHKiQFrRoo0BrQ0plfavPjIweXXk1S/HnXleZ7fTqx8bkwtUL3UApVTC6gFilwLvGdk5c2LD902YljPzXWP2JK6dipfF/OL8ZVfS9IRGhdvKfJA3nkgEQN5x0DRzn9L8wKVvle8X/+InftsrnvEllRXW9436CfPVnbc24dHh2hcvKUUbRwwL1A5MZB3LVDEGFh7XqDS94p36xuxZ0Z77RRZ2icivca/6MnKjkv7UuTUdLNoY4BaoHJiQC1QtBgAaI2dd945brvttujduyCbbgPZaWhoiBdeeKH07759+8bQoUM3W+Pi1fbYY49S8+JkwoQJ621eDAAAAGxZhVzqdvTRR5c+f/e7341x48at+f7YsWPjqKOOitmzZ5e+3nfffZsdd8kll8TMmTPjnHPOabf7csQRR8SJJ54YPXtu/CqTH/7wh6UGxtddd91Wa1ycGji///3vLzUaHjZsWKlx8fbbb7/R49785jfHtttuG8uXL4/3vOc9zR73xYsXxxe+8IW48847S1+feuqpm/VvYNNMvv2B2OHNB8b2R+4T0/7x2AZv23vk4Nj/y++Plx5+Lp645Pcxd9yUeOT7v4nBh+xZampMdRIDNDVmUMT+A1r/mKQL6j5c7mdfCOnv+diulR2TLkYc6uLSqmYczJvzz9pO3rm88UxrpUYOxw4rzuOYNqROGye0Vrq2/qMV5k46FuMgYoCmunSq/DXef4yMGFigzffePyqiT+fW3377HhFv22Fz3iM2N+MgYoCmXjuovIFMRfOjuxZrw5WPVPj3vGN4xJAem+sesSUYB/Pm/ENzqfHgIYMqW4RVae7s6BuufGy3yo45ZmjESNfcVjW5ADEAjXbtW25cWomUO4vSnKSmDbXAEYMjdi/Q5nvH7xAxrIJ5jt6dI07aaXPeI7a0D+4S0aWCqy1Sw+9Kxw06FrUQYoCm3rJ9xMherX9MuneKOHVnj2GRpPPZo1Prb5/iJc2PUb3kAcQATaXXd2l+qLXS68f/t4vHsEjSPE+a72mtoT3K80lUL3kAMUBTh2wbsfc2rX9M6moiPlSg6+uJeO/IiG26tP6R2K5bxDt39MhVM3kAMUBTBwyIGDMw3/WjRLxrRMSgCq6T7d+lfG0t1UseQAzQ1B79Il4/uPWPSVo2mvapK8r6Ucr7CKZ9I1or7Ufxn6M8ctVMHkAMANAaqWfENttss9V6RwBsqpdeeikWLFhQ+veoUaOipsLJjEobFyc77dR4weXqxskAAADA1lfI5sWpUe6AAQNi8uTJseeee8Zee+0Vu+yyS4wZM6Y0GfKGN7yhdLt99tlnzTGpofHXvva1OPvss2PFihUxd+7c0keyZMmS0r/r6+srvi+pGfH1118fgwZtfDfT7t27l/7/zp0ruJpxA+69994YOHDgmo8LL7yw9P1f//rXzb6fbrfab37zm7jhhhtK/+7SpUucfPLJ8brXva7FjxkzZqw5LjVn/tWvflX6nJpEpwmj9Finxzj9H+eff37pdp/85Cfj7W9/e7v8fWweM//9dPQZNSSGHzsmXhr77PpvWFMTr7vojKitrY17zrwkGlY9P5649A8x+5HxpabGvYdv5zRVITHA2htSn39Q6zZbSLf9+r4RB1RwAUY1OGHHiI+38iKRw7eL+OLem/sesbkZB/Pm/LO2Eb0ivn9QeWPBjRnSPeJHB1fW7LijS2sJzj2gdZstpGUHX96nsmbHdDzGQcQALW24ckorN9p/0/YRn9qjWI9har74g9dG9GpFfk8Xo//otRF9Ktigho7HOIgYYJ350THlpiOtaVz8jf0i9h9QrMcwNSP+aCvnR9MF+V/Ya3PfIzY342DenH9Yd370vAMj9tqmdQuw0vxo2ry2SN4ytPWv9V87KOJr+27ue8TmJhcgBqC5b1bwWv9zryle09IjKnitv1//iP/ZPwqlV+fyGoDtum/8tmmdwIVjIob13BL3jC1lt74R3zmwdQ2Mh/eK+OHBEZ0LeXVGPtRCiAGa6lZXrgVSE7qN6dapvOZ+VG+PYZGM7B3xvYPK53djUpykWiDFDdVLHkAM0FR6fffD15avJ9iY9Loxvae0Wz+PYZGkeZ4039Oa60NSs8JUO6b5JKqXPIAYYO01oSkP7NLK9aPpPZJ9+nsMi2Tb7hEXpetDWpHfB3Qtzwv067ol7hmbizyAGGDt9aPfPajcuHBj0lvEae3kmI1vL0cV6d+1fK1oakq8MX07l2uBSpod0/HIA4gB1vat/SP27d+6vXbSOsvDK2h2TMfXO60ffW3r8nvahyLNI1XS7JiORx5ADADQGlOmTImzzjqr9BmgGr3yyitr/j1kyJDN3rg42X777Vv8/wEAAICtq5Db4wwbNizuvvvueOtb31qatJg4cWL0798/Lr/88rj55ptj3Lhx6zQvThO+8+fPj4997GOxzTbbrPlIvvvd75b+/eKLL0Y1Wb58ebz88strPhYvXlz6/tKlS5t9P91utfSz1SZMmFBqbLy+j9TUuamjjz46HnvssTjjjDNi9OjRpebGTz/9dPTt27fUsPhPf/pTXHLJJVvwEaAtGlbWx9S7Hi3/ewMNu/f8+Amx3Zjd4uHzr4tXn5vaeHx9famZcW2nTnHYDz7hJFQhMcDa+naJ+N/DIt43MqLnei62TxdUXnpwxHE7FPPx+/CuEd8+YP0bSqWLClOD47TplM0Hq59xMG/OPy05aFDET18Xcdi25YsGWtps6K3DIn5+eDE3Ik4b6Fx2aLlx5foutn/NNuWL8d85fEvfO9qbcRAxQEsX2p+5Z8TZ+0bsuJ48t223ciOj9LqproAzzuk175WHlxsytvTn1dVEHDO0XAuMsBFx1TMOIgZYW780P/q6iPduYH40XYR+6SERxwwr5uOXmheni+03ND96+m4R3zvQ/GgRGAfz5vxDy/OjPz4k4uSdypuPrG9+NG069o6Czo+eunPEdw+MGL2eDXm36RLx4dHlDfy7tqKRCx2bXIAYgOa610VccnDE/9ulvIZqfc1Nvz8m4n2jivno/cfIiB+Midi97/o3YP3AzhGXHNK6Ri7VZsdeEVcdHnHssJbnPdIagsO3i7jydRH7tbLRNdUlvT90+aERYwa2/PPUzDCtlUgxYCPi6qcWQgywtiE9ymsBTtghout61kMcMqi81v7gbT1+RZTO608Pizh0Pec3xUWKjxQnNiKufvIAYoC1DewW8bPXlV/3ra+ZfXq9mF43HqEpQSGl+Z70mj/N/7R0LUmaLzp21frR4a1odE3HJg8gBlhbakSbXvO/Z8T614/uPyDiskMi3jTU41dEe25TvpbkqPVcS5IaV79p+3ItsHMrGl3TsckDiAHWltaMptf87x9VbkjXkr23ifjRwREn7OjxK6Jd+pZrgZTvU95fW/reUUPKt9m9FY2u6djkAcQAa0vrIdM1o+l6irROsiV79Iv4wWsj3jPS41dEad+I9Jo/7SPR0vrR2lXrC9N7SftaP1r15AHEAACtsWDBglLfi/QZoBr169cvTjjhhDjmmGNKzYdbK/Wu+d73vldx4+KkU6dO8eY3vzmOO+64OPTQQzfp/gMAAADtp4DbRMWaiYvULHdtaWI3NTOura2N17zmNWu+v/POO8ff/va3dW5/1FFHxQc+8IH44Ac/GIMHV9fVo0ceeWQ0NDRUdEz6O9NHW40aNSouvvjiNh9Px/DirfdHbCB2+u4yNPb/wvti1gPPxpM/+eM6P587bko88v3fxAFfPil2/9Bx8fTPbtnM95j2JgZoaSHl5/aK+MTuEbdPjfhWucd5yf8dETF6PZtTFslbhka8efuIR16JuHdmxPzl5cclLSA9coimHEVjHMyb809Ldu1bbj4xZWHEbVMjfvxM+fvpOrNb3lxuZlVkabOl1LjyY7tG/GVaxPh5EUvryxt0HznYBXVFYxxEDNCSt+1Y3mx17OyIf78U8YvxjbnwpqOL2bS4qdSs8cIxETMWRfx5asSsJeULytJGxalhQf+uW/se0p6Mg4gB1pY2nfv8XhGf3L38mvDbTeZHf31kHhuOpcbMaY704Vci7msyP5o2ZkuvC4teC+TGOJg35x/W1a0u4tN7Rnx814jbp0V885HGn/3y9RG7ZbDh2Bu3j3jDkIjH50TcvaoWSPPGqVlj+n4XTYsLRS5ADEBzKc+lOYEPj464c1rE2Q83/iw1td2zX0RNS51LCuTwweWPJ+dE/H1GxLzl5SZtaZPWo7dff/OeokgNaf9n/4jP7hlx65SIaYsiVjaUv5/mTDSpK769+kdcdmjExPnlNROXP1v+fnrq//nNEb3Wszkl1UkthBhgbWk9wNf3K88PpVpg6qKIFfURA7pFvGX7iB00qSu8NP+Xmk9MXhBx27SIn6y1fjSto6Q45AHEAGtL4/xX9ok4c4+IP0+JmLSwXAukGiE1rkkb11NsaV1Qaj6R5oTSuqFLn25SC7wpYhvrRwtFHkAMsLY0//vFvSPO2CPitikRExdELKuP2KZLeS1FDutHczeiV8T5YyJmLi7Xgxc3qQVuflPEwI3vxUwVkQcQA6yte13EZ18Tcfpu5fWjE1ZdX5/2FUhNa9P+AxTbsJ4R5x0YMXtJ+X2iHz7VWAv88eiIbbtv7XtIe5IHEAOsrWuniE/tEfHRXSPumBbx3KvlWqBP54gjBpevraTYBneP+NYBEZ9dWq4FfvBkYy3wh6PLe01QHPIAYgAAgKJLfXZOOumkio/r2rVrfPzjH4/vf//7scsuu7S6cfFqp512WsX/JwAAALB5FbZ58fo8+eSTpYa+o0ePjh49Gt/t79WrV6nZb0tGjBix3p9BEU360z83+PNXn5sa14x8/wZv8/jFN5Y+qE5igPVJzSjeMTzi3Ecj6qPcqCmHxsWrpY1G9xtQ/qDYjIN5c/7Z2AVmHxodcfkz5VyYFpMXvXHx2k06Tthxa98LNjfjIGKADb0mGjOo/HHN+MZcmFOzwsE9Ij64y9a+F2xuxkHEABuaH33n8IjzmsyP5rTxXKoF9h9Q/qDYjIN5c/5hw/Ojb9sx4luPNNYCOTQubloL7N2//EGxyQWIAVj/JnTH7RBxzsONtcBrMtt4Lm20l/Nme6kRzft32tr3gq0pNaT6yK4R//ts4/tkGhcXj1oIMcCGGhe+b5THJ2epUfWHR0dc0WT9qMbFxSMPIAZYn/T6790jPT45275HxP/bJeLHTzfWAhoXF488gBhgfXrWRbxrhMcnZ9t1j/jALhGXNqkFNC4uHnkAMcCGmhi/3fX1WUt5/5SdIy5+qrEW0Li4eOQBxADr061TxPE7pDeNPUa56t814qSdIn74ZGMtoHFx8cgDiAEAAFi//fbbL7761a+WevZU0rgYAAAA6Jiya178+OOPlz7vs88+W/uuUOXm3Ht9zHvsztjhQz+ICRe8L5ZMfipqu3SPur7bxo6n/zi6Ddl5a99FKrRi3ssx7uw3rvm6fumiWDpjQuxz9ayo692/VfEw/PQfR/3ypTHlyrNi3sO3RU2XbtFjxD4x8rO/dD6qxOMfGRE1dV2jtmv30teDT/xS9D/8vRs9zphAjsR98ciFJHIhtJ5cWDxyIYlcCK0jDxaPPEgiD0LryYXFIxeSyIVAa6kFikctQKIWAIDWUQ8X06bWQtbRVz/1MNBaaoFiUgugFgBaSy1QTGoB1AJAa6kFikktgFoAaC21QDGpBVALAK2lFigmtQBqAQAAWmO33XbzQAEAAEBBaF68EQ0NDVvmTFB15v7rxuh/1Kmlfw9680ejzwHHRk1NTcy6+ZKYdMmHY9dv37W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YlAVee7O8nrZPp4h3DSlfU9ReFigs84B5QA2ogWVmvLV+tHEW+NMrEYcPzWP9KBFj55TfJ0rXz6QssEmniEMGRbyjoOtHvVdcZh4wD6gBNQAAAORj5syZ8ctf/jIefPDBlb6Xmg2PGDEievYsX0w9d+7cePXVV2PKlCnLf+bll1+OH/7wh3HHHXfE//7v/0b//v2bNC6uqamJT33qU7HPPvtswGcFAMCaVO2yr2nTpsX3vve9+Mtf/hLjx48vhc8PfehD8Z3vfCdOO+20UrC97LLL4tRTT41qUl9fXwrObVXjZsXz5s1b5c/MmTMnPvOZz8TgwYPj3HPPjYsvvjiqVb//+mT03vfoqF+6OOa/Ojom/+W7sWja+Kjp0NChcs7Td8WL3zxspW3rlyyK+rqlscd1S6PaDT5g55hw5xORIzWQdw04/k0vKPv2ExH3Tl15P902sXyh8ae2jfjAsCikuvqIX4yJ+P1LEXOXNP1euunKe24rL6j+8k7FW0jn96DMOCgL5TgPJsYAGjck+PaTEXdNLs99jaUb0fbuGPE/20R8eHgxbzqSbrr26xcjfvNixOzFK3//fbdHHDQo4qs7lxs6F4lxoEwWyDsLJGpADeRu5qKI7zwRcUej5jzL/GtSxPefjjh5q4jjtyhuFvjjK+VzA2lfrOj9t5cvrPq/XcoXXReJLFBmHjAPqAE1kLu5iyPOe7J8DiDdcKyxf0+OuPSZiOO2iPjYVsW8AVnyl7ERP3k+4o2FK3/vg/+K2HfTiK/vGtG/4eVSIcgCZeYB84AaUAO5m7ck4oLREbeMj1iyQha4Y3LEZc9EHDsy4pPbFPMGZMlNr0Vc8VzE1FX06DjqX+WbsqcsMKhrFIoskPc8kKiBvGvA8WeZ1Kj4oqfKzWgWrfAmwZ2TI374bMRRwyM+s10xb0CWpIbFP3im3KRtRcfeUW7W9rVdIjbvHoU0eV7EuU9E3P/6yt/7ysPl8yGf3jbifZtvjEfHhvDItIjvjo54ec7K30s3qN66Z8RXdo7YuU+xjoe5MO8slKiBvGvA8W/akCBlgXumrLx+9P8eiejTsXxe6KgRG/ggscGMnl5+r3DM7JW/d+O4iJE9Is7YKWLPfsU6KMaBvOeBRA2UqQHXl6eGBGn9aDoPtOL60W88Vl4/+tGtIj4yspjrR4l4bmbEd56MeGbmynvj5vERw7pHfHHHiLdtWqy9ZR4oMw+YB9SAGpi9qPyaMF03suL60W89HnHp0xEnbBlx8payQFG9NLt8n5EnZ6z8vbSWaEjXiP+3Q8SBg6JQZIEy84B5QA2ogTeXRHzvyYi/T1g5C6SMkNZSpHMCn9imuNeS5O7VueUs8OgbK38v1cWgLhGnbR9x6JAoFFmgzDxgHlADamDBkogL0/rR8RGLV3iT4Hujy9eSHD0i4pRti7t+NHcT0/rRxyMenLbqtbWbdo44ZbuIIzaLQpEFyswD5gE1oAYAAIA8jB49On7wgx+U+owtk3qNHXroofG2t70tNtlkk1Vul5oYp2bHt956a4wdO7b0taeffjq++MUvxvbbbx+PP/54k8bFBxxwwAZ6RgAAFLZ5cQqZhx12WEyePDm6detWCp4TJ04sBdqXXnoppk+fXvq5XXfddWM/1DjwwAPjzjvvjFdeeSWGDx++xp998skn48QTT4xrrrkmttxyy2iL7rnnntLntN+32WabVf7MV7/61VJD6T/96U/Rs2fPqGadBm0VPXc9pPTnXnscFt23e3s8/9W3x2s/+lSM/NIfS1/vscP+sdvVc5tst+iNifHcF/aM/u+prubZq7PpXtvGI+f+rsnXdv/qR2Ln0z4Ud/+/K+LFP/5rpW3efe050X+PrePG/zojZj4/LqqVGsi7Bhz/svFvRnzynlXfhHeZaQvLN6R5fUF5QXnRGhef/VjE38av/mfSAvt0cVW6+Oon+0X0KFADY78HZcZBWSjHeTAxBpBMmV/OAhPmrX5/zFhUblwwdX7EZ7cvXrPCdPHcX15dcxZIDZxSFvjpfhG9C9S00DhQJgvknQUSNaAGcjZ9YcQn7ilfZLw6sxaXmxami4/SzUiLdAO6lAUueTri9y+v4WfeatCQssDP3l6spoWyQJl5wDygBtRAzmYtivjfeyJeXEVjkmXmLI748XMRE96MOGvXYmWB5CfPRfxszJp/5t6pESffFfHz/YrVtFAWKDMPmAfUgBrIWbrx3KfvXfXNyBv/zC/GRLw2N+LcPYrXwPjXL0Rc9uyafybdiCVlgfQeQbpBe1HIAnnPA4kayLsGHH+W3Xju1PsjHi8vzV+l+UsjfvtSxNi5ERfsVbwb0P3plfJN9tYk3aD1o3eV1w5uWd1L51cybm75faK0RnR10rrRbz5ebmz4sa035KNjQ/jP5IgvP7zyzScbS40MP3VvxMWjIvYpUKMic2HeWShRA3nXgONfNnlexP/cEzF5/ur31fRFEeePjpiyIOIz222oI8SGcv/UiM8/GLFoDVng5TkRp94X8d29Ig4YWJxjYxzIex5I1ECZGsj7+vL0Wj9dS/Lam6v/mZmLyg2MU174/A7FWzOSu8ffiPjs/eVzgKuT1hef/kDEubtHvKtAjYrMA2XmgbzngUQN5F0DaZ5PWSC97lud2Ysjfvhsef3o/+0iCxRNWi90yr0Rc5es/mfSdcdfeiji67tGvG/zKAxZoMw8kPc8kKiBvGtg7uLy+8DPzVrz+tF0rcW4NyO+ubsGxkXz4uzy9UTp+uHVmTQ/4quPlO838uERURiyQJl5IO95IFEDedfA/CURn7kv4skZa/iZpRG/ebF8Lcn5exZv/Wju0vn/dG7ojTWsH033Jk336Ez3JDmxbd5Cu0VkgTLzQN7zQKIG1AAr69q1a+y9996lzwAAUASPPPJIfP/7348lS8qLQ3r06BEf/ehHS02LU9PhNenevXu8853vjIMOOqjUa+1nP/tZTJs2LRYtWqRxMQBAFai6t3dT2Hzve99balz8hS98ISZNmhSPPvpo6e/f/e534+abb46HHnqoFGR33nnnqCa/+tWv4oknniiF65dfXkMnhA2srq6utJ9/85vfxMknn1z62ne+853Si4EV3XffffGjH/2o1Fz66KOPjqLpvt2+0efAE2LG3VfH3GfvXeXP1C1eGC+f/6Hovv3bY9DRZ0bVSy8KayLq65reZeDxC/8UM559NUadfVJ0HdSnyfe2/+QRMXDfHeLxC6+u6gvMV0UN5F0DOR7/JXURn3tgzY2LG/vJ8+XGfUVy5Qtrbly84g3YvvZIFFqOvwfmwgaOf97zYLY1kLm6+vJNx9bUuLixX78YcdNrUSh/fGXNjYsbe2Vu+YatqclhUWU5DnhdnPfxT9TActnWQMbSnPbFB9fcuLixP48tfxTJX19bc+PixsbPi/jCg+UMVVRZjgPmgbyPf6IGlsu2BjJ35iNrblzc2I3jyhebF8k/Jqy9cfEyU+aXb8aa3lspqizHAfNA3sc/UQPLZVsDmTv70TU3Lm7stokRP38+CuXOyWtvXLxMuiHL6fdHLFzDzdurXZbjgHmgCTWQ95qBLI8/8e0n19y4uLG7pkRc9kyxdtqDr0dcsJbGxcukG7WmLDBvDTdvrzaLlpbPdaypcXFjVzwX8e9J6/tRsSGNnRPx1bU0Ll4mNTQ84+Fyg4qiynIulIebUAMN5OE8xoCl9eVrSdbUuLixX6XrLorzEoiImDivPL+vqXHxMkvqI858OOKVZr6vWI3MA3nPA4kaaKAG8nhNUFo/+tCaGxc3dtXLEdc187oLqqd5dbqeaE2Ni5dJ62a/8diaG1pVO/NAA/NAHvNAiXNDkXsW+MrDa25c3Nj1FVx3QfU0r/7c/WtuXLxMuoTm3Ccinmjm+4rVKLcxoMQ80IQaaCAP5jMOfP3R5r/O+/uEiF8287oLqkNqTJ3WwaypcXFjaX1NWmdTVOaBBuaBfOYBebCpHMeBbz2x5sbFjd0xubx+kOJI18WkLLCmxsWN/eCZiP9MjsLKcQwwDzSlBhrIgxmNA6zS5ptvHpdddlnpMwAAVLtnn302LrnkkuWNi3fbbbe48MILY999911r4+LG0s/usssupX5xgwcPbvK9Qw89NA444IBWf+wAAGTYvPi0006L8ePHx6mnnloKrj169Fj+vTPOOKMUSlO4HT58ePTs2TOqyUUXXRQnnHBC6fmlBsZjx27cLg8//vGPS0G/ffv2pZB/0kknxdChQ+PGG28sHYcVLV68OD7xiU9Ep06d4vLLL4+iGnTM1yPatY+Jfzhrld9/7YpPRd3iBTH89CujCPrvtmVMe2zlu4zXLV4Sd51+edR27RT7XXzK8q/33GJw7P6V/47XHxkTT11xQxSRGsi7BnI7/mlB2NhmNihqfNOZojTsS4unKr1Q7p6pEWMKfJF1jr8H5sKmHP+858EcayB3902NeL7Cee1XLxYnC6RmQ5U2XXr0jeYvvq9WuY0DskDexz9RA03lWAM5e2x65fPar18s38C2CNLN1K58obJtUkOnIl9kneM4YB7I+/gnaqCpHGsgZ2lee6DCee33L5Ub2xRBfQuyQLpR391TotByGwfMA3kf/0QNNJVjDeQsNRr5d4U3D0k3pp9foIZ9v64wC4yfF/HPiVFouY0D5oGVqYG81wzkdvxzlxqV/X18ZdtcMzZi9qIojPSeRyVveUxZEHFLhfusLfvXpOY3KFqm0nMptG1/fCViYTOaFS6TmnencaDIcpsL5eGVqYEyeTiPMSC93/FihY1oryzQ+lEi/vxKeX5vrpQb/ljwRlXmgbzngUQNlKmBPF4TPDwt4qkWrB9N6y4phr+8GjG7mQ2KksV1EX94KQrNPFBmHshjHkicG8p7HHh6ZjkPVOK3L5avx6QYbnwtYnoF7/ulHPi7Cq/FrTY5jQGJeWBlaqBMHsxjHHhxdsRdFV4X8YeXIxYU5FoSIm4ZV14H01zplFCl9+WoNuaBMvNAHvNAIg/mPQ6MfzPitgmVv788t4JzyrRtt08sXx9T6ftERZbTGJCYB1amBsrkwXzGAVZt6dKlMXfu3NJnAACoZvPmzSv1FEs9xpLUsPiLX/xi9OrVq0X/Xn19ffz5z3+OiROb3nDl7rvvjunTp7fKYwYAIOPmxc8++2xcffXV0a9fvzjvvPNW+TN77LFH6XNqYrzMsmbHo0aNKjXWTQ15V+eVV16J973vfaWmyL17944TTzwx3njjjXV+7OkxpGbEa/p47bXX4uyzz453vvOdpT+nBsbp88YyaNCg2G+//WLvvfcuNS9O++3JJ5+MP/zhDzFr1srdq84///x4+umn42tf+1qMHDkyiqrzoC2jz/7Hxpwn/xlznr6ryfem3viDmPXwTbHFV6+Pdp26RrUZsM92UdO+6bAw5KDdYsK/H1/lz08f/Uo8edl1MeTAXWPr4w+JmnbtYv8ffLb0vXQBen1dMa8sUQN510CRj//qFoNVKjU4TBekFWXx1KwW3Eyx6DdfK/Lvgblw7Rz/vOfBotcArTOnvTq38gvT26r/TI54vYKLqpa5pgUZqpoUeRyQBfI+/okaWLui1wDrfl5gyvziNOxLzRorvagqcV6gescB88DaFX0eUANrV/QaYN3ntHSjstTYpgiemB7xwuzKt/uz9wiqdhwwD6xd0ecBNbB2Ra8Bmrq2BXPa3CUR/6jwJjVtVVr78GSFN+VPnBeo3nHAPNA8RZ4L1EDex5+VXfdqZY17lzUru2lcMfZmWvuQ3idoSRYoSsO+luSatHb02YKsH81dupHk31rw+3zDa8W+IXWR50JZqHnUQN5raIt8/FtrHeTLcyIec0+RQkjzeZrXK/W38cW+IXWRxwFZoHnUQN5ZoOg10BprHybMi7hv6vp4NGxoqfFkOj9YqdsmRsxcGIVV5DFAFmgeNdBAFijeONAa15K8sTDijsnr49GwoaVGxC15n+jOyeVriorKPNDAPFC8eUAebJ4ijwMrask8MHtx5U0OaZvSupeWnBu6//WI1+ZGYRV5DDAPNI8aaCAPFm8cWNW1JJUug5y/NOLm8evpAVEVeTBdjztm5dtUF4Z5oIF5oHjzgDzYPEUeB2i+F154odQ7In0GAIBq9rvf/W55H7btt98+TjnllGjfvn2LGxf/+te/jr///e+lv6e+ZltsscXyJsk/+9nPSj8DAEDbUlXNi6+66qqoq6uL4447Lrp3777Kn+nSpctKzYtffPHFuPbaa2PgwIGx1157rfbfnzNnTqlhcGo0nP6vn/70p3HXXXfFEUccUfp/18X+++8fI0aMWOtHCtH/+te/StukhsbHH398bCzvf//74+677477778/JkyYEE888UTss88+pX3znve8p8nPPv/88/Htb387tttuu/jSl74URTfw6P+LaNcuJv7hrOVfm/Pkv2P8b74cI8/4c3QaMDyqzfD37RuH/PbMGLD3dk2+3qFn11g8Z/UdOp74/jUx/alXYs+zToy9v/2x6L/7VvHod6+K2S9NjCJTA3nXQBGP/+ouMH6kfN6oRYuJi6AlNx9cl+2qSRF/D8yFzef45z0PFrUGWFl6T6elc5osUPyKKuI4IAvkffwTNdB8Ra0BVvZg5q+LH8w8C+U2DpgH8j7+iRpovqLWACvL/Rx5S59HyhDpxm1FVsRxwDyQ9/FP1EDzFbUGWJn3CFpWFanh8bwlxa6oIo4D5oHKqIG81wwU8fizarmfF3iohc/jhdkR0xcWo1nd49PzroHcPZVybQuaEM9aHPFcwRtYF3EulIcrowYayMPFGANWt370wWkt2/Z+DQsL4flZ5Xk9WnBD6pQjisw8kPc8kKiBBmqgOK8JViX394ly98qciNcXVL7d4rqIR1t4TXK1MA80MA8UZx5wbqgyRRwHViX394lyN3FexITV32ZotdKduR5u4TmlalHEMcA8UBk10EAeLM44sCquq8zbGwsjXpqzYWunWpgHGpgHijMPyIOVKeI4sCrOC+TtzSURo1v4vn/Rzw0VcQwwD1RGDTSQB4szDgAAAPlJ/duW9UTr3LlzfOpTn4ra2tpWa1yc/r2vfvWrsckmm5S+9thjj8UjjzzSis8AAIDWUFOf0lyVePvb3x733HNPXH/99aXGuqvygQ98IP7617/GX/7yl/jgBz9Y+lpqPNyuXblP89lnnx3nnHNOKcSu6KKLLoqvfOUr8dJLL8Xmm29e+tp9990X++67b1x33XWlf7tSBx54YNx5552x0047RceOHZu1zRtvvFFqXJx88pOfjJ/85CfRGr72ta+VGgyfdNJJceWVV7bo30gNnkeOHBnTpk2L2267LQ455JDS19/5znfGv//979Jzfcc73tFkm2X7/IADDog77rhjnZ7DnnvuGZMnT272z9d07BIDLnkh1reFU8bGc1/cKwYd+43Y9D2nrtO/NeVzW0X9ovmt9tg61LeLb9SNatbP7nz6h6JTn57x0DfK9dFtSL8Ydvje8czPbl7jdr23HxZH3HJ+tO/YIaY88Gzc8sGzyneqaKFz2j0Yi2vWrWH4Mmqg+mqgNY//hqqB1hwD1sc40FI1XTeJARc+1aJt37ztxzHnunOj2m3yvz+Pzru8u+Lt6uZOj6ln7BxtQe7jYCVjYGIcLN44WG3zYJL7XNhW5kEion2HGHjZKy3aFfP+8+uY/cf/q/rd2Ovky6LLqPK5hUrUL14QU07fMtoCWUAWqLZ5IJEHZQFZoO0YcNkrUdO+Q8XbzX/gmpj1689Ftev53+dH1/2Pb9G2kz+zeUR96+X6lso9C1Tj68LcXxMmsoAacG6g7dj0wqejXddeFW+34LG/xcyffTKqXY8jz4puB7fseUz5/LZRv2BubGyygCwgCzg3lHsNsG76f/uhaN97UMXbLXz6jpjxw5a9nm5Luh/xxeh+eMvOb0z96h5RN2tKbGyygCyQew1YM+LcEOum3zfujNoBW1S83aIXH4zpF3+o6nd/t0NPiR4fPLNF277+jf1j6estW2/RVrTr3jc2/d4TLdp27t8vi7k3fLfVHxMbVqddD4/en/xpi7adfvkJseiZf8fGlnsWqsb3yRLXkuRdA94rbTvnxtZlDH3z37+MOX9uuDkj1anj9gdGn1N/16JtZ/zsf2PhY2seOzYEWaD65oFEFpAFqm3dVFt/TbAuBl4xvkXbzbv3jzH7d19s9cfDhtVhi72i7xeua9G2s37z/2L+/X+OtqDa3i93XkAWUANqoC1lgU0vfj7ade5W8XbzH7khZv3ilPXymNhwaofuEP3O/EeLtk3XFafri9sCWcB5gdxfEzo35LzAuuh/3qPRvtemFW+3YPTtMfNHJ6/T/83G137TEdH/7LtatO2c674Tb952RbQFsoAsIAuogdxrYF30O+fuqO1fefPFhWPujRmXfHi9PCY2nHa9BsSm57Wsmczcv10Sc2+6MNqCassCiXsvug+18wJqoK1kgZwcddRRFf381KlT46qrror//u//jk03bd65k2uuuSaq3Qc/+rno1r1nvDl3dlz3q0tW+nsOct8Hnn/exz9RA3nXwKqeb+77wPPP6/hXYw2kvmjnnXfear9/xRVXxH/+85/Sn1PvssMOO6xVGxenvmTJAw88EN///vdLf0792v7v/1Z/r/rU7HjRokUtehwAALkbOHBgPPzwwxVvVxtV5NVXXy19HjZs2Cq/v2TJklJz42SXXXZZ/vVljYvX5qabbio1SF7WuDh529veVmrWe+ONN7aoefEyN9xwQwwfvvY34MePH788TB9zzDGl4N6W9OjRo/T4rr322njiiSeWNy9+9NFHS/v5wx9eebHA3LnlmzLfe++9pUJNxowZEz179qz4/0+NiydMmNDsn2/XqWsMiPWrbuG8eOm8D0SvUe9rlTeMJ06cWPo3W0vHmvbR3J3w6i0PxsFXfnn5ReabHbpnjLt17QPL4tnzom7RktJF5uP/+eg6XWCeTJw0MRbVL43WoAaqrwZa8/hviBpo7TFgfYwDLVVT+3qL992s1yfGpArG67aqw8w3onMLtlv85uyK5qv1KfdxsJIxMDEOFm8crLZ5MMl9Lmwr8yBlA5YsjprayhsWzp42pc3Mheui/YzXo0sLtlsyb06bef6ygCxQbfNAIg/KArJA29Fv/ptR232Tireb80YxskDN9KnRtQXb1S2cHxPGj4u2IPcsUI2vC3N/TZjIAmrAuYG2o8+8OdGxBc2L35zxeiGywOBpU6LyW++VjX/lhYi61rupckvJArKALODcUO41wLrZZN7sFjUvnjdrWiGywIDXJ0X3Fm474ZUxUTe/vGZuY5IFZIHca8CaEeeGWDc95syM2hYMIvNnvVGILNB/6sTo0cJtJ776YiyZMTmqWbtOM6Ly2xCXzXp9UkwuQA3kruemr0XvFm77+oSxMbcN1EDuWaga3ydLXEuSdw14r7QNnRurqYlN6+qippnXZDY2e9rkmNgG5gHWTbeeY6NPC7edNuHVmN0GakAWqL55IJEFZIFqWjdVDa8J1kX/+XOjfZfu2a4fzV2Xjv2jbwu3nTZpXMxsIzVQbe+XOy8gC6gBNdCWskDfBXNb1Lz4zelTZYEC6FTfNfq1cNs3Jo+P6bJAi5gHzANqQA20pSzQe96cFjUvnjezGOtHc9dhfl30b+G2M6ZOiNfbSA04L+A9gtzPD3ufyHsE66Lnm7OjtgWTwfyZxVg/mrt2M+a0eP3ozKkTY0obqYFqywKJey+6D7UsoAbaynmBnLz55psV/fz8+fOXf27utkXIR3VLly7/nJ7Pin/PQe77wPPP+/gnaiDvGljV8819H3j+eR3/aqyBTp06rfZ7c+bMifvuu6/0527dusU73/nO9dK4ONlrr71iwIABMWXKlBg9enTp3MfgwYNX+e+l7y1cuLBFjwUAgJapqubFy07ILjtJu6Krr746pk2bVmqwO2LEiIr//WeeeSaOPvrolb6+ww47lL63vqUXFgcddFC8/PLLcdRRR8Xvfve7aN++fbQ1qUl0svStF0XL1NXVlYL/6ixevHj599PPtsSy5sfNVdOxJW2mKjPj3mtj/itPxIIJY2LG3Vev9P0dLn8mOvZvaIi9NukFU/2iVdd4S3SobxfRzN09a8z4iPqITbYeGjPHjI8eIwbGnCtXf0yX2e+Sz0S7DrUxc8y42PlzR8bYG+6NOa+ufbvVGTxocCyuaZ2beauB6quB1jz+G6IGWnsMWB/jwLpY/NqT0WHznSs6WZROEHWe9kIMGTIkql2HSS2b/+tee7zNPP/cx8FKxsDEOFi8cbDa5sEk97mwLc2DRCx+5ZHouNU+Fe+KTq+PaTNz4broOOXZFm239NXH2szzlwVkgWqbBxJ5UBaQBdqOpWMfjdodK19Q0nHq821mLlwX6Xm0xOKxj7aZ5597FqjG14W5vyZMZAE14NxA25HOdUe/oRVvVzvl2TYzF66Ljq+PadF2i155LIYMqrzR4/ogC8gCsoBzQ7nXAK2QBYZsU/F27Sc9U4gs0OGNF5usg2iuxROfi0F9ekVE+ti4ZAFZIPcasGbEuSHW0fjREVvuUfFm7SY+XYgsUDu9ZVlgybRXY0C32oiu1b8PFo9/JjoM3b7ZP79sX3V548VC1EDuauZNjPrFC6Omw+ovVF+VdNOsTRa9Eb3aQA3knoWq8X2yxLUkedeA90rb1rmxtPah48g9K96u87RirB/NXc2iN0rzerqZbyXqlyyKXvMmRY82UAOyQPXNA4ksIAtU07qpanhNsC6WjH0k2m/XcAOx5upUkPWj2aufE3Vvzox23TapaFfU1y2NHrNfi25tpAaq7f1y5wVkATWgBtpSFlg69rHosOu7K96uw5TnZIEiaLcols6aEu17Daj4faLuM1+JLrJAiSxQOecF8j4vkKiBtpMF6sY9ETFoi4q3q51cjGtJsldTE0umvRa1/TavOAt0nf5Sm6kB5wXMA+ubc0OyQFuvgXWSssDw5t97cpn2k4qxfpR0Xczz0WHwNlW9frTaskDi3ovuQ+28gBpoM1kgI6lZW0v6Y3Tp0qXZ27aVuXFdtHurR0b6nJ7Pin/PQe77wPPP+/gnaiDvGljV8819H3j+eR3/aqyBjh07rvZ7Dz/8cKlvWHLggQeusdHxujQuTtq1axeHHnpoqe9acv/998eHPvSh1Z4XWbRoUcWPBQCAqLina1U2L05PcsaMGfHoo4/G2972tibfmzRpUnzpS18q/XnnnXeu6CZBy6R/e5NNVr6Iqk+fPvH88y1rUlCJc845J1588cX44Ac/GFdddVXU1ra9wzN9+vS48847S3/eddddl3995syZq93m7LPPLj239GLhjjvuWKf/P72YqcT8JRH7/y3Wq74HnVD6aC1jxrwQXVrx0C+etyB+v8Xxzf75cbc9HJv9114xd/y0WDx37W9abffxw2PQfjvGI+f9Icb9/cF4760XxH7fPyX+/qFvtPgxj3lhTHTo2jlagxqovhpozeO/IWqgtceA9TEOrIvrX40494nm/3yafzfvFvHgbVdFu8qn4jZn7uKIw26NmL+0su1+/7kPxK7f+kC0BbmPg5WOgYlxsFjjYLXNg0nuc2FbmgeJuHVCxJmPVLYnBnSOuP/Gn0dtu+rfgwuWRhx+a8Ts8ntqzfbTT74r9v3a+GgLZAFZoNrmgUQelAVkgbbjrskR/+/ByrbZpGPEPX/+QXRq/4OodkvqIt5zW8QbCyvb7pLj9ouDvyQLtFTu58hzf02YyAJqwLmBtuPhaRGfureybVJvnv/89vzoWnt+VLu6+ogP/jNiwrzKtvvOh3aLI06XBVpKFjAPyAJqQBZoO56eEXHSXZVt06ldxEM/Oyt6dTwrql19fcQxd0S8PKeyxQ9f+69t4+hPyQItJQtU1zzQ1t8vtmbEuSHWzUuzy3NhJdrXRNx92Rejf+cvFmL3n3xXxFMzKssCn3/HsDhx3LgogmvHRpz3ZGXrR4d3j3jon39K97GlAL7+SMQtEyrb5situ8b/vfBMtAW5Z6FqfJ8scS1J3jXgvdK2tYb2b+Miznqssm0GdYl44G9XlnIh1e/bT0Rc92pl2xw2rGOc+1wFFyGtR7JA9c0DiSwgCzg/2naywB2TIr74UGXb9O0Ucd91V0SHdlesr4fFBvT9pyJ+/3Jl2xw4uH1cNLrChcfrUbWtn3ReQBZQA2qgLZ0XuH9qxKn3V7ZN99qIu/9wYXSuvXB9PSw2oB8/F/HzMZW9TzSqX8QVj/4n2gpZwHkB7xOpgdxrYF08MT3i43dXtk3n9hH//uU50aPDOevrYbEBXflCxOXPVpYFduod8av7yjepbwtkAfNA7vOA94msG1oXY2ZFfKR8y+Fmq62JuPeHX4m+nb+yTv83bcOfXon43ujKssCWPSIeuuMvbWb9aLVlgcS9F92HWhZQA23lvEBOHnqosoURS5YsiZNPPjl69OjR7N4Rl1xySVS77/zw9zF77psxaOCgGD9+/Ep/z0Hu+8Dzz/v4J2og7xpY1fPNfR94/nkd/2qsgZRbr7322lV+7+WXGxaG7r777uutcXHj/2NZ8+LG//eKxowZ0yb7swEAFFlVtRI65JBDSp+/+93vlsJj45O8Bx10UEybNm2lprobWwrJRx55ZHTr1m2tP3vppZeWmvxeffXVGy0Yp+bAZ511VqmJ8ooee+yxOOyww0qNinfaaac4+OCDN8pjZP0ad+vDsdm79ozBB+4SE/+z5jtO9RgxMHY/8yPx+mMvxFOXXx8zx4yPxy/6Uwx82w6li8+pTmqAxt49pHzReCU+MjIK0bg46d4h4gPDKttm+00idumzvh4RG4JxMG+OPzR10KCIwV0r2yvHjoxCNC5edpHcUcMr22Zkj4h9+q+vR8SGYC5ADUCDfQdE6SbzlTh6eESn9sXYiynTpGxTiSFdIw4YuL4eERuCeQA1AA326BuxTa/K9siHhkV0Lcga0PRex39XmAU27Rxx6OD19YjYEMwDqAFosEPviF0rfO/7vZtH9OpYjL2Ybphy3BaVbbNJx4jDhq6vR8SGYB5ADUCDLXpGvK3C977/a0hE/9brwb7RHTey8pvyv2+zKIyUa/pUmO1SfmorN55j3aX3ySpZApQaVR4zwp6vZrIQaoDGDh4cMaDCbJfeV9G4uDjSvF7J8Uy5odJ1NrQt5gHUAI29fUDE5mu/NUITHx4R0aEg15JQvpamY4XHs9J1NrQt5gHUAI2N6h+lhjOVzh2dC7J+lIgPDovoUuG1QR+pcJ0NbYt5ADVAYzv3jlIj2kq8f/OIHh3sx6JIx7Nbhdmu0jW3tC3mAdQAjW3dK2JUv8rXG/Yt0PrR3B0+tHx9TCWsH61u5gHUADRP6hnRu3dvTdUAAKhajRsIjxgxYr02Lk4GDhwYXbp0Wen/BgBg46uqS8DOOOOM6Nu3b4wbNy522GGHUgPdrbbaKkaNGhUjR46Md77znaWf22WXXVr076cTv6kx74qmT58effq0rAthakZ8zTXXRP/+a797UwrNqXFwhw6tswLvnnvuiX79+i3/uPjii0tf/+Mf/9jk6+nnlpk7d25861vfKu3XAQMGxJ577hl77713DBkyJHbfffd48MEHY+utt47rr78+2rcvSAcKmpjywLPRc+SgGHbYqHj9oedXv3dqauLtl5wa7dq1i7tPvzzq6+pKX37qh3+NaY+/WGpq3GPYAHu3CqkBGksXiH1/7+Y3GnjvZhFHVtjgr6377HYRezVzEV26Oc/39nLzvWpnHMyb4w9NpRvHXDwqomczX6a+a0jxLir65DblG+80R59O5f2VmhtRvcwFqAFokG5Amua23s28sGj/AREf37pYe/DELSMOHtS8n02ZKZ1HSU2PqV7mAdQANEiNZi7cq/lNh9IF6adsV7ybsr+nmQ0I041ZLt47opO30auaeQA1AE2dv2fE4K7N2yup0fHndijWHkzNB48c1ryf7dy+fB6lu5vvVTXzAGoAmvrm7s1vUrP9JhFf2blYe/DQIREnNHMNRGrkcuGoiE06RWF0fetcR3NvTJ9uYv+Bzdf3o2JD2qF3xBnN/L1OS2W+vmvElj3X96NifZKFUAM0lt7vSGsgujfzWpLDhmhcWzRpXk/ze3OXxJ6xU8SOFTazoG0xD6AGaCytg0zvezT3xvQHDYo4eSv7sEg2614+P9jc62NO3z5izwqbWdC2mAdQAzSWxv+LRkX0beb7HvtuGvGpbe3DIhnQJeK8PcvXFbX2dbi0TeYB1AArXkvy3T0jBpbvI75Wu/eNOG17+7BIencqX0+U1sM0R1pfc8jg9f2oWJ/MA6gBVnTuHhGbNXP9aHqfOL1fTHGk62LS+0TpOpnmOHp4xBGbre9HxfpkHkANQPOMHz8+vvCFL5Q+AwBANZo0aVLp86abbhpdu3Zdr42Lk9TLavPNN1/e923BggXr9PgBAGg9VXUL/aFDh8Zdd90V73nPe6Jz584xduzYUlPhn/zkJ3HzzTfHmDFj1ql58XbbbRfPPPPMSl9PX0vfqzaLFy+ON954Y/nH/PnzS19fuHBhk6+nn1sm7btLL700PvCBD0TPnj1L+/Sxxx6LpUuXxiGHHBI//OEP44knnig1i6aY6pfWxYQ7nij/+a2GxKuyw6feGwNGbRuPXXB1zHphQsP2dXWlZsbt2reP/b5/ygZ5zLQuNcCqbir48/0ihnVfc2PDj2711o1JCtasr2P7iEv2Li+KWtNT27l3xC/3b/7Ce9ou42DeHH9Y9c3HfvH2iC16rH7v1NZEHDcy4lsV3Jikmm66c8FeER8atuYLrVNm+tXbI4Y2c+E9bZe5ADUATW3ePeJX+0ds22v1eybNkUcNL8+ZRWvcm57bt/eIOHbEmrPAVj3L5wVGriEzUR3MA6gBaGpQ1/Lr3Z3WcKPxNP2/d7PyufT0fkGRpPc8vrFbxElbrvm5jehePn+ypsxEdTAPoAagqX6dI3759vKN5VYnvVx+95CIy/dp/o1JqikLpCaMn9g6otMaskC6Kc9P94vYuc+GfHSsD+YB1ACsfCPS9Hp37/5rb07zo33LzW6LJt1c99Tt1pxzBnUpP/8iNmdJNxX82X5rbmKdblT7P1tHfHXn4q0fpfweYFoP1KvD6vdGamSVGhi4+WD1k4VQA6xo617lPDhyLetH0w3pzy7g+lHK8/v5e0b0XkPjyp4dIr65W8RRI+yxamceQA2wouE9yu8Tbd1z9fsmrav88IiI8/ZofmM7qkdqOnTxWhpXdq+N+L9dIk7YckM+MtYH8wBqgBUN6Va+lmSHTVa/b9JSig9sXm5sV7RrSSg3I07rgTbtvPq90bV9xBd3LDcvprqZB1ADrGjTLuXzAruuYV1kOhVw+NCIH+wT0alg60eJ2Kt/xBVvK6+LWZ20nuaz22leXQTmAdQAK+rz1vrRUf3Wfh45zRddCrh+NHfp+ph0ncyamlin62zSOYHUvNr60epmHkANQPPMnTu31B8jfQYAgGo0aNCg0sfgwYMr2u73v/99xY2Llxk4cGDpIzUxrltD/ysAADasqnuLNzURvummm1b6ejphm5oZt2vXLnbccccW/dtHHHFEnHnmmTF+/PhSo+TkgQceiJdeeikuuOCCqDYHHnhg1NfXV7RN796947TTTit9tJazzz679EH1eO2WByPWUDu9thoSu59xbEx9+Pl4+sc3rvT9mWPGx+MX/Sn2OPO42O7jh8ezv/jben7EtDY1wKpuOvPngyIemhZx7diIf01q+F66Md/7Ny/fqLCo0gL5s3crL5C67tWIe6ZEzF1SXkCdLrhLN2fbYQ2NG6g+xsG8Of6wshE9Iv54YMSjb0RcMzbitokN3/v0tuUskBoYFFVqTnTmLhEf3zri+lcj/jMlYs7ichbYplfE0cPLTZwsoi4OcwFqAJoa2i3it++IeGJ6OQv8fULD91Lzng8OK1+MXlTpJjpf3Cni5K3KWeCOyRGzF5cvptqqV/m8wG59ZIEiMQ+gBqCpgV3LN515emY5C9w0ruF7H90q4shh5Z8pqnSj/c9uH3HcFhE3vFZ+j2TWonJjnnSz/iOHR+zVTxYoEvMAagCaSuf/0w1HnpsZ8eexEX99reF7J24Z8aFh5XMHRZXO/f/vthHHjIy46bXyeyQzF5XfOxjevZwFUkNHzXmKwzyAGoCm0rrAH74t4oVZ5Szwl1cbvveRkeW5cFj3YmeB9P5Aep43j4v4x4SI6QvL7x2khr4pC+07oNjNebbdJOKad0Y8+Hp5/egrcyMW10X06li+8eD7Ni83r6W4DhtablJ++4SIG8dFPPJGw/dSY+ODB0V0dCPqwpCFUAOsaIueEVcfWB7/0/tEL82OWPRWFkjzQ1o/mm5aTHEdPDhi/wER/5wUceNrEQ9Oa/jeN3aNOHRIeT0txWAeQA2wos27R/z+gIjH31o/+sLsiIVLI3p0iDhgYMQHhkX0L/C1JJSbFt50aMQdk8rvE97/esNeSU2L3z1EU4oiMQ+gBljR4K4RV+4f8dSM8vtEz82KWLC03Lx+/4Hla0kGFvhaEspNC284JOKuKeX7bNw7tWGvfGWniMM2i+hWdXcvY3XMA6gBVpSuGf352yOeSetHXylfU7IsC7xt0/JaipQXKK5d+0Zcf0j5XlspC6RMsMwXd4x4z2bl80QUg3kANcCK0lqAK/aNGPPW+tEnp0fMX1p+HZiuoUjXlW5W4PWjRGy/ScS17yy/N/CXseX7bCzzue0j3rt5ef0IxWAeQA0AAAAU37e//e0WbbfDDjuUmhcvXbq0osbFyac//ekW/Z8AAKxfhVn++/TTT5ca9W699dbRtevKq9muueaa0udnnnmmyd+HDx8ee+65Z+nPn/zkJ+Oyyy6L97///XHOOefEggUL4owzzohRo0aVvga5ePWm+9b4/VkvTIjfjvjIGn9m9GXXlT6oTmqAVUk32k2LxdLHqBsi6tLXonxjvlykBfOf2a78QbEZB/Pm+MPqb8i7R7/yxz8bZYHU0DcXA7qUGxSkD4rNXIAagFVngXShcfq4dUJDFshpXkzNmv5nm/IHxWYeQA3AqrPAjr3LH38b15AFcjpfni62T++J5PS+SK7MA6gBWH3Tuq/vWm5QsiwLnLZ9PnsrNeQ7fsvyB8VmHkANwKpt1SvizF0irn+1IQt8fsd89la60eqxI8sfua4f3WfT8gd5Sg0Jj9i8/NF4DXFqbEyxyEKoAVb3PtGe/cof5Klj+/K8nz4aZ4F0I2KKxTyAGmB1WWC3vuUP8tShXcShQ8ofjbNAalhJsZgHUAOsLgvs1Kf8QZ5q20UcNKj80TgLHDViYz8yWpt5ADXAmprWfWM3+ydX7Wsi3jGw/NE4C+S6hqbIzAOoAVZn614R/7eL/ZOrtH50303LH42zgGtrisc8gBoAAABgdXbbbbf4whe+ELNnz66ocTEAAG1XYZoXjx49uvR5l11W/a720Ucfvcq/n3TSSXHllVeW/tyzZ8/417/+Faeffnoce+yxUVtbG0cccUR8//vfj3bt0tuj0GDGPdfE7Cf/GZt9/Pvx8oXHxoJxz0S7jl2ittemsfmnfxSdB7lTZbVZMvuNGHPWwcv/XrdwXiyc/HLs8pupUdujT7PqYdinfxR1ixfG+F9+IWY/9o+o6dg5ug7fJUZ8/ncb4BnQGkZ/YnjU1HaKdp26lP4+8MivRp/9j1nrdsYEcqTui8dcSGIuBJpLFigeWYBEFgCaSxYoHlmARBYAmksWKB5ZgEQWAJpLFigeWYBEFgCA5pGHi2lds5BrSaqfPAw0lyxQTLIAsgDQXLJAMckCyAJAc8kCxSQLIAsAlZAHikcWoDXqwD1pIR9+74tHFqA16kAWAAAAcmhgDABAcWTTvLi+vr5Z/84WW2wRN910U6s+Nopp5v3XRZ+DTiz9uf+7Phk99zgsampqYurNl8erl/9PbPPtOzb2Q6RCtT37xvaXPL7875OvuzDmPn3nWhsXr1gPE379lYiamtjhR2NKNbF4xmTHosqM/NLV0XXkrhVtY0wgR+q+eMyFLGMuBJpDFigeWYBlZAGgOWSB4pEFWEYWAJpDFigeWYBlZAGgOWSB4pEFWEYWAIC1k4eLa12zkGtJqp88DDSHLFBcsgCyANAcskBxyQLIAkBzyALFJQsgCwDNJQ8UkyxAa9SBe9JCHvzeF5MsQGvUgSxQfP3794/TTz+99BkAAAAAoJpl07wYKrVk7sx45rQdo27R/OjYb7OoX7wwFk5+OfoceEIM+/SPYu5z98Tw06+MmtoO0WvPw5dv123rfWLK9Rfa4QXwxu2/iCEnnFdRPSxd8GZMu/0XsfMvx5caFycdeg/cyM+E1mBMIEfqHnMhxgTImyyALIAxAfImCyALYEyAvMkCyAIYEyBvsgCyAMYEAHImD9OSenAtSXEZEyA/fu9pST3IAsVlTID8+L2nJfUgCxSXMQHy4/eeltSDLFBcxgTIk999Kq0FWaDYjAmQH7/3VFoLskCxGRNorG/fvnHcccfZKQAAAABA1StM8+J//etfG/shUDC13TeJPu/4SLTv0iMGHfP1mPXoP2LyNd+J4Z/9ecx+7Nbotu2+pcbFK5p606Wxyaj3b5THTOuZ++y9sWTujOi11xEV1cPC8c9GbY8+MenP34k5T9we7Tp1iUHHnh09dznY4akiYy85MeqjPrptNSqGnHh+dOjV35hAlsyFeTMX5s1cCCSyQN5kgbzJAkAiC+RNFsibLAAkskDeZIG8yQJAIgvkTRbImywAAPJwztYlC7mWpBjkYSBxbixfsgCyAJDIAvmSBZAFgEQWyJcsgCwALCMP5EkWYF3rYEXuSQvVy+99nmQB1rUOViQLFNPs2bPjwQcfjFGjRkXPnj039sMBAAAAAGixdi3fFIpv3iuPR5eRu5X//NIj0fWtP8984Provc8HV/r51LB24aQXY8iJ523wx0rrmnb7L6LvQSdGTfvayuph6ZJYNPXV6LLZ9rHdxQ/HZp/4Qbx8wTGxeOYUh6hKbPOd/8T2P3gytr/40ajt2S/GXnrS8u8ZE8iRus+XuTBf5kKgMVkgX7JAvmQBoDFZIF+yQL5kAaAxWSBfskC+ZAGgMVkgX7JAvmQBAGggD+dnnbOQa0mqnjwMNCYL5EcWQBYAGpMF8iMLIAsAjckC+ZEFkAWAFckDeZEFaJU6aMQ9aaH6+b3PiyxAq9RBI7JAcU2cODHOPPPM0mcAAAAAgGqmeTGswfxXHl/+htCyN4fq6+tj1mP/iJ67H9bkZydfd2HMvO8vseVZt0S7Tl3t1yq2dP7cmHH3n6LfIR+ruB469t88ol276HPAcaW/p5/pNGBEzB87eiM8E1qidAwjoqa2Qwx47+di7tN3Lf+eMYEcqfs8mQvzZi4EGpMF8iQL5E0WABqTBfIkC+RNFgAakwXyJAvkTRYAGpMF8iQL5E0WAIAG8nB+1jULuZak+snDQGOyQH5kAWQBoDFZID+yALIA0JgskB9ZAFkAWJE8kBdZgNaog2XckxaKwe99XmQBWqMOlpEFAAAAAACoBpoXw2osemNCessoOvYdUvr7/LFPRpdhO8W8MQ9Gl6HbRfsu3Zf/7JS/Xhwz7roqtvrmbVHbfRP7tMrNuPvq6DJil+g8dNuK66G2Z7/osfPBMfuxf5T+vnDKK6WPzpttt5GeDZVYuuDNWDJ35vK/T7/rquVvEBsTyJG6z5e5MF/mQqAxWSBfskC+ZAGgMVkgX7JAvmQBoDFZIF+yQL5kAaAxWSBfskC+ZAEAaCAP56c1spBrSaqbPAw0JgvkRxZAFgAakwXyIwsgCwCNyQL5kQWQBYAVyQN5kQVorTpI3JMWisHvfV5kAVqrDhJZAAAAAACAalG7sR8AtFXzXn5s+RtFSftum8TUv11RuqHIJnt/YPnXF00bH+N/+YXoOHBkjPnaQaWv1dR2iu0ufGCjPG7W3bTbfhH93vWJFtVDMuzTP46xl308xv/my1FT0y6GnfKT5W8y0rYtmTklXjr/yIi6pVEf9dFpwMg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"text/plain": [ "
" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "from qiskit.quantum_info import SparsePauliOp\n", "from qiskit.transpiler import CouplingMap\n", "\n", "num_qubits = 20\n", "initial_layout = initial_layout = [\n", " 124,\n", " 125,\n", " 126,\n", " 127,\n", " 128,\n", " 129,\n", " 130,\n", " 131,\n", " 132,\n", " 133,\n", " 134,\n", " 135,\n", " 139,\n", " 155,\n", " 154,\n", " 153,\n", " 152,\n", " 151,\n", " 150,\n", " 149,\n", "][:num_qubits]\n", "coupling_map = CouplingMap.from_line(num_qubits, bidirectional=False)\n", "\n", "# Num Trotter steps and `rx` angle\n", "num_steps = 6\n", "theta_rx = np.pi / 6\n", "\n", "# Average single-site magnetization\n", "observable = (\n", " SparsePauliOp([\"I\" * iq + \"Z\" + \"I\" * (num_qubits - iq - 1) for iq in range(num_qubits)])\n", " / num_qubits\n", ")\n", "\n", "# Create the Trotter circuit\n", "circuit = QuantumCircuit(num_qubits)\n", "edges = CouplingMap.from_line(num_qubits, bidirectional=False).get_edges()\n", "edges_a = [e for e in edges if e[0] % 2 == 0]\n", "edges_b = [e for e in edges if e[0] % 2 == 1]\n", "for _ in range(num_steps):\n", " circuit.rx(theta_rx, [i for i in range(num_qubits)])\n", " for edge in edges_a:\n", " circuit.cz(edge[0], edge[1])\n", " for edge in edges_b:\n", " circuit.cz(edge[0], edge[1])\n", "circuit = circuit.compose(circuit.inverse())\n", "circuit.measure_all()\n", "\n", "# Transpile circuit to backend\n", "pm = generate_preset_pass_manager(\n", " optimization_level=0, backend=backend, initial_layout=initial_layout\n", ")\n", "isa_circuit = pm.run(circuit)\n", "print(f\"two-qubit depth: {isa_circuit.depth(lambda instr: instr.operation.num_qubits == 2)}\")\n", "print(f\"total depth: {isa_circuit.depth()}\")\n", "isa_circuit.draw(\"mpl\", fold=-1, idle_wires=False)" ] }, { "cell_type": "markdown", "id": "bceae1e6-91d0-4b75-abc2-b5975154db48", "metadata": {}, "source": [ "Now we add pre- and post-circuit checks on every qubit, including the ``7`` adjacent spectator qubits. Adding all possible checks to a circuit allows one to decide which postselection strategy to use during postprocessing." ] }, { "cell_type": "code", "execution_count": 6, "id": "3f19dd87", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "cregs: [('meas', 20), ('meas_pre', 20), ('spec_pre', 7), ('meas_ps', 20), ('spec', 7), ('spec_ps', 7)]\n" ] } ], "source": [ "# Use all bit-flip checks so we can compare all strategies in post-processing.\n", "combined = PassManager(\n", " [\n", " AddPreCircuitBitFlipChecks(x_pulse_type=\"rx\"),\n", " AddSpectatorPreCircuitBitFlipChecks(backend.coupling_map, x_pulse_type=\"rx\"),\n", " AddPostCircuitBitFlipChecks(x_pulse_type=\"rx\"),\n", " AddSpectatorPostCircuitBitFlipChecks(backend.coupling_map, x_pulse_type=\"rx\"),\n", " ]\n", ").run(isa_circuit)\n", "combined_isa = generate_preset_pass_manager(optimization_level=0, backend=backend).run(combined)\n", "\n", "print(\"cregs:\", [(c.name, c.size) for c in combined_isa.cregs])" ] }, { "cell_type": "markdown", "id": "13e29609-f543-47aa-9309-efc37016356b", "metadata": {}, "source": [ "Here we use the ``Executor`` primitive to sample the circuit containing the checks." ] }, { "cell_type": "code", "execution_count": 7, "id": "433e7833", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "job id: d9badrm6hjac73ffe31g\n", "status: QUEUED\n" ] } ], "source": [ "from qiskit_ibm_runtime import Executor, QuantumProgram\n", "\n", "# Raw and combined-checks circuits in a single 100k-shot program so they share calibration.\n", "program = QuantumProgram(shots=100_000)\n", "program.append_circuit_item(isa_circuit) # raw circuit, no checks\n", "program.append_circuit_item(combined_isa) # combined pre + post bit-flip checks\n", "job = Executor(backend).run(program)\n", "print(f\"job id: {job.job_id()}\")\n", "print(f\"status: {job.status()}\")" ] }, { "cell_type": "markdown", "id": "fb9b9c49-22c8-4187-905f-db8c50d5e63a", "metadata": {}, "source": [ "The ``PostSelector`` class knows about the creg structure of the checks, so it can associate each bit in the samples to its associated circuit measurement. Its `compute_mask` method can be used to create a mask over a sequence of samples, given the postselection strategy (node or edge) and the type of bit-flip checks to look at (pre- or post-circuit). To combine pre- and post-circuit strategies into a single mask, their masks can be calculated independently and then combined with the ``AND`` operation. Here we use the ``PostSelector`` to create masks for all of the various strategies and look at the results using every permutation of strategies available.\n", "\n", "In the visualization below, we see how postselection strategy affects postselection rate, as well as the quality of answer. As expected, the strategies involving node-based postselection resulted in the lowest postselection rates. The edge-based strategies are more lenient and tend to result in higher postselection rates. Users should experiment with the various strategies on their problem to determine the right balance between postselection rate and quality of sampled distribution. In this example, using node-based postselection with the pre- and post-circuit checks resulted in the best answer with a postselection rate of ``.028%``. Some of the strategies did not outperform the raw circuit. We also see that adding the checks but not using any of them (bar labelled \"no selection\" in chart below) performs the worst." ] }, { "cell_type": "code", "execution_count": 8, "id": "43bc3829", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "raw circuit : = +0.5791 (kept 100000/100000)\n", "no selection : = +0.5211 (kept 100000/100000)\n", "pre-only (node) : = +0.6026 (kept 1357/100000)\n", "pre-only (edge) : = +0.5637 (kept 13029/100000)\n", "post-only (node) : = +0.5682 (kept 2254/100000)\n", "post-only (edge) : = +0.5265 (kept 27514/100000)\n", "pre=node + post=node : = +0.6393 (kept 28/100000)\n", "pre=node + post=edge : = +0.5799 (kept 442/100000)\n", "pre=edge + post=node : = +0.6006 (kept 317/100000)\n", "pre=edge + post=edge : = +0.5521 (kept 3836/100000)\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "from qiskit_addon_utils.noise_management.bit_flip_checks import PostSelector\n", "\n", "selector = PostSelector.from_circuit(combined_isa, backend.coupling_map)\n", "\n", "exec_results = job.result()\n", "# The Executor returns numpy arrays keyed by classical-register name, so each result item is\n", "# already the {creg_name: ndarray} mapping that compute_mask expects.\n", "raw_bits = exec_results[0][\"meas\"] # raw circuit, no checks\n", "bits = exec_results[1] # combined pre+post circuit\n", "\n", "meas_bits = bits[\"meas\"]\n", "total = meas_bits[..., 0].size\n", "\n", "\n", "def magnetization(b, mask=None):\n", " \"\"\"Average single-site magnetization over the (optionally masked) measurement bits.\"\"\"\n", " kept = b if mask is None else b[mask]\n", " return (1 - 2 * kept.astype(int)).mean() # bit 0 -> +1, bit 1 -> -1\n", "\n", "\n", "rows = []\n", "\n", "\n", "def report(label, mask=None, b=meas_bits):\n", " \"\"\"Record and print the magnetization and kept fraction for one selection strategy.\"\"\"\n", " kept = b[..., 0].size if mask is None else int(mask.sum())\n", " ev = magnetization(b, mask)\n", " rows.append((label, ev, kept / total))\n", " print(f\"{label:<24}: = {ev:+.4f} (kept {kept:>6}/{total})\")\n", "\n", "\n", "# Compare all possible postselection strategies\n", "report(\"raw circuit\", b=raw_bits)\n", "report(\"no selection\")\n", "for s in (\"node\", \"edge\"):\n", " report(f\"pre-only ({s})\", selector.compute_mask(bits, s, mode=\"pre\"))\n", "for s in (\"node\", \"edge\"):\n", " report(f\"post-only ({s})\", selector.compute_mask(bits, s, mode=\"post\"))\n", "for pre_s in (\"node\", \"edge\"):\n", " for post_s in (\"node\", \"edge\"):\n", " keep = selector.compute_mask(bits, pre_s, mode=\"pre\") & selector.compute_mask(\n", " bits, post_s, mode=\"post\"\n", " )\n", " report(f\"pre={pre_s} + post={post_s}\", keep)\n", "\n", "labels = [r[0] for r in rows]\n", "evs = [r[1] for r in rows]\n", "fracs = [r[2] for r in rows]\n", "x = range(len(labels))\n", "\n", "fig, ax1 = plt.subplots(figsize=(11, 5))\n", "\n", "# Bars: expectation value per selection strategy.\n", "bar_colors = [\"firebrick\"] + [\"steelblue\"] * (len(evs) - 1)\n", "ax1.bar(x, evs, color=bar_colors, alpha=0.85)\n", "ax1.axhline(1.0, color=\"green\", ls=\":\", lw=1.5, label=\"exact \")\n", "ax1.axhline(rows[0][1], color=\"firebrick\", ls=\"--\", lw=1, label=\"raw \")\n", "ax1.set_ylabel(\" (avg single-site magnetization)\", color=\"steelblue\")\n", "ax1.tick_params(axis=\"y\", labelcolor=\"steelblue\")\n", "ax1.set_xticks(list(x))\n", "ax1.set_xticklabels(labels, rotation=45, ha=\"right\")\n", "ax1.legend(loc=\"upper right\")\n", "\n", "# Line: fraction of shots retained (right axis).\n", "ax2 = ax1.twinx()\n", "ax2.plot(x, fracs, \"o-\", color=\"darkorange\")\n", "ax2.set_ylabel(\"kept fraction\", color=\"darkorange\")\n", "ax2.tick_params(axis=\"y\", labelcolor=\"darkorange\")\n", "ax2.set_ylim(0, 1.05)\n", "\n", "ax1.set_title(\"Selection strategy: expectation value vs shots retained\")\n", "fig.tight_layout()\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.9" } }, "nbformat": 4, "nbformat_minor": 5 }