555 lines
976 KiB
Plaintext
555 lines
976 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"id": "5b6cbc5d-14d4-40c6-a702-0ce635c483d8",
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"metadata": {},
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"source": [
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"# Representing quantum computers for the transpiler"
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]
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},
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{
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"cell_type": "markdown",
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"id": "aed00912-17af-4e4c-8639-77957b314b98",
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"metadata": {
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"tags": [
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"version-info"
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]
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},
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"source": [
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"<details>\n",
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"<summary><b>Package versions</b></summary>\n",
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"\n",
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"The code on this page was developed using the following requirements.\n",
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"We recommend using these versions or newer.\n",
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"\n",
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"```\n",
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"qiskit[all]~=1.2.4\n",
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"qiskit-aer~=0.15.1\n",
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"qiskit-ibm-runtime~=0.31.0\n",
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"qiskit-serverless~=0.17.1\n",
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"qiskit-ibm-catalog~=0.1\n",
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"```\n",
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"</details>"
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]
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},
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{
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"cell_type": "markdown",
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"id": "9dbd70a7-3353-4286-aa6b-3547d7894f58",
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"metadata": {},
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"source": [
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"To convert an abstract circuit to an ISA circuit that can run on a specific QPU (quantum processing unit), the transpiler needs certain information about the QPU. This information is found in two places: the `BackendV2` (or legacy `BackendV1`) object you plan to submit jobs to, and the backend's `Target` attribute.\n",
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"\n",
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"- The [`Target`](../api/qiskit/qiskit.transpiler.Target) contains all the relevant constraints of a device, such as its native basis gates, qubit connectivity, and pulse or timing information.\n",
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"- The [`Backend`](../api/qiskit/qiskit.providers.BackendV2) possesses a `Target` by default, contains additional information -- such as the [`InstructionScheduleMap`](../api/qiskit/qiskit.pulse.InstructionScheduleMap), and provides the interface for submitting quantum circuit jobs.\n",
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"\n",
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"You can also explicitly provide information for the transpiler to use, for example, if you have a specific use case, or if you believe this information will help the transpiler generate a more optimized circuit.\n",
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"\n",
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"\n",
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"The precision with which the transpiler produces the most appropriate circuit for specific hardware depends on how much information the `Target` or `Backend` has about its constraints.\n",
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"\n",
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"<Admonition type=\"note\">\n",
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"Because many of the underlying transpilation algorithms are stochastic, there is no guarantee that a better circuit will be found.\n",
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"</Admonition>\n",
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"\n",
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"This page shows several examples of passing QPU information to the transpiler. These examples use the target from the [`FakeSherbrooke`](/api/qiskit-ibm-runtime/qiskit_ibm_runtime.fake_provider.FakeSherbrooke#fakesherbrooke) mock backend.\n",
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"\n",
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"<span id=\"default-config\"></span>\n",
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"## Default configuration\n",
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"\n",
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"The simplest use of the transpiler is to provide all the QPU information by providing the `Backend` or `Target`. To better understand how the transpiler works, construct a circuit and transpile it with different information, as follows.\n",
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"\n",
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"Import the necessary libraries and instantiate the QPU:\n",
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"In order to convert an abstract circuit to an ISA circuit that can run on a specific processor, the transpiler needs certain information about the processor. Typically, this information is stored in the [`Backend`](/api/qiskit/qiskit.providers.Backend#backend) or [`Target`](/api/qiskit/qiskit.transpiler.Target#target) provided to the transpiler, and no further information is needed. However, you can also explicitly provide information for the transpiler to use, for example, if you have a specific use case, or if you believe this information will help the transpiler generate a more optimized circuit.\n",
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"\n",
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"This topic shows several examples of passing information to the transpiler. These examples use the target from the [`FakeSherbrooke`](/api/qiskit-ibm-runtime/qiskit_ibm_runtime.fake_provider.FakeSherbrooke#fakesherbrooke) mock backend."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"id": "a52d0681-5436-4d7a-8d45-9832472e59ca",
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"metadata": {},
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"outputs": [],
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"source": [
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"from qiskit_ibm_runtime.fake_provider import FakeSherbrooke\n",
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"\n",
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"backend = FakeSherbrooke()\n",
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"target = backend.target"
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]
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},
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{
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"cell_type": "markdown",
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"id": "4064b5ad-8a3a-462b-ae30-29576230c084",
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"metadata": {},
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"source": [
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"The example circuit uses an instance of [`EfficientSU2`](/api/qiskit/qiskit.circuit.library.EfficientSU2#efficientsu2) from Qiskit's circuit library.\n",
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"The following cell decomposes the circuit before drawing it to show its gate structure."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"id": "97f9acc1-ac53-4025-b413-485777932a9b",
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"metadata": {},
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"outputs": [
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{
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"data": {
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|
|
],
|
|
"text/plain": [
|
|
"<Figure size 1476.08x1036.78 with 1 Axes>"
|
|
]
|
|
},
|
|
"execution_count": 2,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"from qiskit.circuit.library import EfficientSU2\n",
|
|
"\n",
|
|
"qc = EfficientSU2(12, entanglement=\"circular\", reps=1)\n",
|
|
"\n",
|
|
"qc.decompose().draw(\"mpl\")"
|
|
]
|
|
},
|
|
{
|
|
"attachments": {},
|
|
"cell_type": "markdown",
|
|
"id": "b133229c-0146-4feb-a366-548d175b858e",
|
|
"metadata": {},
|
|
"source": [
|
|
"This example uses default settings to transpile to the `backend`'s `target`, which provides all the information needed to convert the circuit to one that will run on the backend."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 3,
|
|
"id": "4b81fb9d-d199-45c5-b119-c1f0b973afe9",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
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|
"image/svg+xml": [
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],
|
|
"text/plain": [
|
|
"<Figure size 4222.55x1036.78 with 1 Axes>"
|
|
]
|
|
},
|
|
"execution_count": 3,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"from qiskit.transpiler.preset_passmanagers import generate_preset_pass_manager\n",
|
|
"\n",
|
|
"pass_manager = generate_preset_pass_manager(\n",
|
|
" optimization_level=1, target=target, seed_transpiler=12345\n",
|
|
")\n",
|
|
"qc_t_target = pass_manager.run(qc)\n",
|
|
"qc_t_target.draw(\"mpl\", idle_wires=False, fold=-1)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "2ad3848d",
|
|
"metadata": {},
|
|
"source": [
|
|
"This example is used in later sections of this topic to illustrate that the coupling map and basis gates are the essential pieces of information to pass to the transpiler for optimal circuit construction. The QPU can usually select default settings for other information that is not passed in, such as timing and scheduling."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "956f1b7a-80b4-4cda-9ecf-6057f560deb9",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Coupling map\n",
|
|
"\n",
|
|
"The coupling map is a graph that shows which qubits are connected and hence have two-qubit gates between them. Sometimes this graph is directional, meaning that the two-qubit gates can only go in one direction. However, the transpiler can always flip a gate's direction by adding additional single-qubit gates. An abstract quantum circuit can always be represented on this graph, even if its connectivity is limited, by introducing SWAP gates to move the quantum information around.\n",
|
|
"\n",
|
|
"The qubits from our abstract circuits are called _virtual qubits_ and those on the coupling map are _physical qubits_. The transpiler provides a mapping between virtual and physical qubits. One of the first steps in transpilation, the _layout_ stage, performs this mapping.\n",
|
|
"\n",
|
|
"<Admonition type=\"note\">\n",
|
|
"Although the routing stage is intertwined with the _layout_ stage — which selects the actual qubits — by default, this topic treats them as separate stages for simplicity. The combination of routing and layout is called _qubit mapping_. Learn more about these stages in the [Transpiler stages](transpiler-stages) topic.\n",
|
|
"</Admonition>\n",
|
|
"\n",
|
|
"Pass the `coupling_map` keyword argument to see its effect on the transpiler:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 4,
|
|
"id": "ec354bee-e06b-42ea-a117-6c1a9308ca73",
|
|
"metadata": {},
|
|
"outputs": [
|
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{
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],
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|
"text/plain": [
|
|
"<Figure size 4138.74x1036.78 with 1 Axes>"
|
|
]
|
|
},
|
|
"execution_count": 4,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"coupling_map = target.build_coupling_map()\n",
|
|
"\n",
|
|
"pass_manager = generate_preset_pass_manager(\n",
|
|
" optimization_level=0, coupling_map=coupling_map, seed_transpiler=12345\n",
|
|
")\n",
|
|
"qc_t_cm_lv0 = pass_manager.run(qc)\n",
|
|
"qc_t_cm_lv0.draw(\"mpl\", idle_wires=False, fold=-1)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "0d3fe7d4-3a40-423d-975f-b4de6613efe9",
|
|
"metadata": {},
|
|
"source": [
|
|
"As shown above, several SWAP gates were inserted (each consisting of three CX gates), which will cause a lot of errors on current devices. To see which qubits are selected on the actual qubit topology, use `plot_circuit_layout` from Qiskit Visualizations:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 5,
|
|
"id": "9be74535-ed36-4d51-afeb-ee53c3f8a046",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
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"image/svg+xml": [
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id=\"05c4808d550\"><rect x=\"7.2\" y=\"7.2\" width=\"884.93\" height=\"762.52\"/></clipPath></defs></svg>"
|
|
],
|
|
"text/plain": [
|
|
"<Figure size 1596.2x1375.4 with 1 Axes>"
|
|
]
|
|
},
|
|
"execution_count": 5,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"from qiskit.visualization import plot_circuit_layout\n",
|
|
"\n",
|
|
"plot_circuit_layout(qc_t_cm_lv0, backend, view=\"physical\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "633744e3-b9e7-4333-ac7b-0089f28e9c27",
|
|
"metadata": {},
|
|
"source": [
|
|
"This shows that our virtual qubits 0-11 were trivially mapped to the line of physical qubits 0-11. Let's return to the default (`optimization_level=1`), which uses `VF2Layout` if any routing is required."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"id": "8035fd05-f7cd-4151-b19a-4968202246e6",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/svg+xml": [
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],
|
|
"text/plain": [
|
|
"<Figure size 2066.69x1036.78 with 1 Axes>"
|
|
]
|
|
},
|
|
"execution_count": 6,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"pass_manager = generate_preset_pass_manager(\n",
|
|
" optimization_level=1, coupling_map=coupling_map, seed_transpiler=12345\n",
|
|
")\n",
|
|
"qc_t_cm_lv1 = pass_manager.run(qc)\n",
|
|
"qc_t_cm_lv1.draw(\"mpl\", idle_wires=False, fold=-1)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "217c75f4-4c86-46bb-9a34-b451ff4743ef",
|
|
"metadata": {},
|
|
"source": [
|
|
"Now there are no SWAP gates inserted and the physical qubits selected are the same when using the `target` class."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"id": "25d9fac3-abda-4b2d-81b4-351dc0772722",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
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|
"image/svg+xml": [
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ZZ2064Q9E3F3pU3afyaaWfzhss4SdMdLYNVGW6e055R0K+KlVFlnCc8jLdFe52HQ2WsHVrRFXF3rnCXmj7TEv5Kvf0Daftyqa6PkZH22wyVQdZbOSB8dtQRslJys4vzgufhXSDknfXhEuuShGOTiTfs8LIWlxf/tv/03HTx4MPLrnDlzRq+//rouX74c+bWK7b//9/+uffv2RX6dixcv6rvf/a5aWuL/4f9Xf/VX2rVrV+TXuXHjhr797W/r1KlTkV+r2L797W9r+/btkSe0Ojs79c1vfvO+ywvj4Ec/+pG2bt2qTCbaTk5/f7/+5m/+5q7tzB2Js4FcxUmnp70dOrrsJLQ4J0sHM9KekzYb7EN3n/TewXjHNJ2RDp2zpWk+DAxIP98b75hmspZ0ab4SbaVp3mDG9jyJc0yzWUtin7zgJ6bpjG2WHWfZ3IEAh5v93DuZjFWdxTnJ45wtTd190s/PmcnYks04J3mck9q6rT/lI6bZrO1N1Rvj6kjnpM4+q+Dzcp/mJiI7uuMbU8numbf2+lk+nc3aMttC7/P7sOnq6tKf/dmfaXBw9FnXuro6rVmzRrW1tQ90rXQ6rbfeeksHDhyIdeVJPqYDA6Of2a2pqdGqVavU2Nh41z9fsWLFHSdpZjIZbdu2TR999FGsY9rd3a3/+B//o3p6Rl++W1VVpeXLl9/19NGqqiqtXLlSCxcuVCqV+uTr2WxWBw8e1BtvvBHrmPb29urP//zPH2ipb0VFhZYsWaIZM2Y80Gb/zjmdPn1a3/72t2Md076+Pv2v//W/dOXK6KuCysrKtHDhQs2ZM0eJxJ11YvX19dq8ebM2bNgwos11zunixYv6y7/8y9CY3vFKzVf87j3Un7ZlW1GWhxfbheu2cb2vgVc6I529FM3+dA+Lq+3S+ev+9snJOOnMRRtcxlVblyV5oq6KzHPOqviueEp+FkNnr+3nWMhN1u/FyU6Y9VE5UCx9A1Zp6jOmZy9bOx5Xg7mJCJ8xbbka78Nsss7v4RJOVjF8/u5bc8TCnpPWb/Tl0s3473O4+1S0S95vd63Dnn9ffY1i+O53vxs6cP73//7f6zvf+c6IgVoqldIXv/hF7dq1S1u3btXp06f1O7/zO0omw48e/0//6T/pe9/73oivtbS0aPfu3Q+UAJlofvSjH+nGjRt3fP2rX/2qXn/9dU2bNu2TryWTSb366qufJL9OnDihr3zlKyovt2OyJ0+erN/7vd/T7t279dFHH+nMmTP6i7/4C02aNOmT17h06ZJ27dqlW7c8VT0UwZtvvhlaqfiP//E/1o9+9CMtXrz4k68FQaAnnnhCH374oXbs2KGjR4/qj/7oj1RTY8cPJxIJbdmyRW+99Za2b9+uAwcO6Ic//KHmzZv3yWtcv35dO3fujPVeZ1u3bg09YOGLX/yi3njjDa1fv37E11evXq33339fu3fv1sGDB/X1r39dTU1Nn/z5woUL9bOf/Uxf+tKXQq/X0dGhHTt23HNfrolu165dOn369B37mr344ot666239Nxzz434+vz58/X2229r37592rdvn/7zf/7Pmj17tiRrG37t135N+/fv19tvv613331XH3zwgZ577rlPEmw9PT3avn27Lly4c1nUiMSZczZw9r25fFdvfJdrulx1hK9qs7y+QRtAx1G+OsL3qazprJ2KGkfOWeLM+6DLxXcZnHPWtvl+DhOBLbePI+f+/+3dd3xUZdbA8d+dkt57AkkooQUITaQjiIgdRGy4uK76vrqu3VV3X91dRXTtq2tbXXVxxbYC9oasgiC9hBYgBJIAgfTep9z3j4cEQgYJMHMDM+f7+fDZdTLMkzncuXOfc89zHpU4y95vbMLFbILMPcaNZyRdV70Nt+VjTFnkId4eU6dTLUkzMqYmk1pa6M1Jno05GBtTDbZ78Y7Fuq6SkUbHNOeAWsrsjVp2KHS1pMhkMrWrfhg4cCC33347CxYsYODAgdx7773cf//9nH/++YBKrFmt1tY/Foul9bGW6hSTycS6deu8NiGh6zpff/21y2ozTdPaJRm7d+/Ogw8+yLJlyxgyZAi33XYbt9xyCxdffDFms5kJEybwq1/9iscff5xu3bpx8cUXM3bsWGbPnt3mdbdu3crBg945mdJ1nf/+97/U1bWvXDGZTO1iGhcXxyOPPML27dsZPnw4v/nNb7jiiiuYNm0amqYRHx/P/fffz4EDB5g0aRLTp08nIiKC559/vvW1NE0jJyeH3FzvvEhtaTDv6nOoaRomk6lNRVloaChPPfUUxcXFjBo1imuvvZbx48czY8aM1pjV1NSQm5tLt27dCAwMdDnu/v372b59u2feVCfTdZ1169a5/By2fPaPjKnVauXFF19E13XGjx/PtGnT6NevH9dccw0BAQGkpaXxwgsvsGzZMsaPH8+4cePIy8vj8ccfJzw8vPV1SktLXS7XtBz5H06nqv6o93AvnqNV1avJZXyEseMaQdNUpYJRS19b1DWqC5PUeO+8o7+/1PidLlsm7L26GDuuETRNJSI93YvnaM0O1e9oQDfvPE4PlKnqSCPZnWqiN6Tn8Z97JqqoVXE1kuNQTEf29c7jtLbxUPWXgWO2xLS4v4GDGsjpPLQZkMFjZu9X5xxTx1d7nDF0HXINaiXQwqlDzkEorgA/q4EDGyi30PiY5hapar6wIAMHNopuY82atR3a9c1isdC/f3/sdjv/+c9/2LdvH++99x6XXXYZd955J8uWLWP06NF07dq19e/07t2b8PBwrr76apYsWcL+/ftxOp1s2rSJLVu20Nho8CTOACaTibVr13Zo6avJZKJPnz6EhYXx3nvvkZubS25uLhdddBF33XUX33zzDYGBgcybN4+FCxdSV1fHsmXLmD9/PjfeeCN//OMfqa2tRdd1duzYwaZNm45Z/XcmM5lMrF+/noaG409QNU0jLS2Nbt268fzzz5OdnU12djaTJ0/mt7/9Lf/5z3/o2bMn/fr147777mPtWtUzpOX58fHxrTt27tmzhw0bNrRJUngLk8nExo0bqa3t2AS1W7duZGRkcOedd5KVlUVWVhZfffUV119/PfPmzaO+vp7q6moyMzO56KKLSE5OJjs7u93rFBQUsG7dOrp27ep1SzZ1XWfjxo0dXvqakpLC2LFjufPOO9m0aRMAn332GVOnTuXf//43I0eOxOl08vLLL7cmxubPn89zzz1HbGwsFRVqGVRxcTFZWVlccsklbV6/TeKsvlldQBsd8sZmtUlArhf2tfS3QlmN8ZOtZptqal1SZdxyRqNomuo5YvRddbtDVUdVeWElvNms+g4ZHdOWnfz+s9S4ZWJG0TS1TMvoz5+uQ14hvP+jseMaQdMg0K9zzmkFJfDxT8YtvTOSZuqcZVOF5d55nAJEhHROlVJxJSxY5n3nUwCrRVVHGq20Ej5Z4X3XUqBi2tAJlV/l1fDJz2p8bxNkbqC6g9voBgUFkZ6eTklJSZslc8uXL+ePf/wjiYmJ3HjjjQwYMIBNmzbhdDrp0qUL/v7+jB07ls2bN7N/v1oKUVBQwJw5cwgNDfXI++pMcXFxHDhwoEPPtVqtDBo0iKqqKvbt29f6+MqVK5k2bRpWq5V58+a1+3sFBQX4+/sTGRnZmvgoLCzk2WefbbN0zlvExMSwZ0/Hyr5NJhNDhw6lrq6O3bt3tz6+du1aZs2aRXh4OD179sRut1NVdbinTcsxHRMT0/rvV1payiuvvMKCBQvc+G5OD5GRkWzdurXDyavhw4djs9nYsWNH62OZmZncdNNNREREUF9fT3NzM1u2bGHGjBn07duXXbt2tXv9yspK3n33XX744QePN883msViYfv27R26EQEqprqut9mYZdu2bdxyyy1ERUVRXV2NyWQiKOjwXZugoCCqq6vbxK62tpYDBw7gdDrbVAm3+cpqau6c3YN0HYqr1B9vE+QPlk64UaGjepxV1HpfHwmzCSyddLFVVQ9VXri00GqG8ODOGbumQSUkvW2ip2kQ6N85Y9c3e+cSWE2DhMjjP88TGmyqQsrI/kpGCXFd/e9xTXbvPE4BusZ0zrhNdtix3zt3guys47TZoSr5vPGzHxzYOVW0Nofq/+mNogL0DidZLRYLUVFRVFVVtemlVVRUhL+/PxaLhUWLFuFwOForfV599VViYmL4/e9/36ZaqKmpiZUrV7r77ZwWevbs2eFKOrPZTHR0NLW1tW2WzBUXF2O1WomLiyMyMpKLL76Y//73v2RnZ9O1a1cuu+wyDh48SGnp4Yamzc3Nhuw42RlSU1OpqelYM2xN04iLi6OxsZGSksO9lUpLSzGbzSQkJBAREUFCQgITJ05ky5Yt2Gw2LrjgAmpra1uTuwA2m43NmzezefNmt7+nzpaUlHRCfQbj4+Npbm5ukzQvLy9vXfrakmzcvn0727ZtY8SIEfz000/tqq/sdjs7d+4kKysLu927vqiOtTz1WOLj47Hb7W36k1VVVaHrOnFxcfz888+sXbuWBx54gL59+2K1Wrnmmmv48ccf2/w7OBwOamtrsdls+Psfnsy1Xaqpg+5lSRZfpgNeuFpD8a5K1NOCl1X3nhYkpu7XmTH11n9Ob31fnalTP/vyDyo6So4Vt3M6nR3+/DudThobGwkMDGxTUdHSxL65uZmvv/6aAQMGMGnSJLKzs7HZbNhstg4vB/MGHa02AbW0q7GxEafT2aaCpKUnXEuy8v777+eaa65h7969dO3albS0NB588MEOLV30BicSU1AN048VU7PZTFlZGU1NTYwYMYL33nsPTdPo168fTz/9dOvyN2+nPvsdP6nW19ej6/oxj9MWFRUVLFmyhFtvvZW0tDTWr1/fbhxvW6J5pBONKdAmgWg2mzGZTFgsFsrKynj77bd55ZVX6N+/PyaTifr6et5///12n3273Y7dbm+TOGvTodJsUs1lDaXj9V/chievjoypl2bOOjWmXsrwnjhHxPQEdl8+o3TK2/LyY7VTejfJcep+Xn6cdsqxciim3nqcdgovj6l89t3PZDZ3+Hhpbm6moKCAwMBAAgICWh/v0aMHuq5TWVlJUVER8+fP5+yzz2bIkCHtNhfwBSfynu12O3v37sXf3791x0dQGwYArQmerKwsli5dyv79+1myZAkzZszwyuWDx3IiMXU6neTm5uLn59dmKXBKSgomk4mSkhL27NnDgQMHeO211/j6669ZunQpN9xwA//85z+9OqlzpKOb/x/P7t27MZvNhIWFtT7WpUsXrFZrmx1kdV3nhx9+IDc3l+nTp7c5rn3BicbUZDK12SE3ISGBgIAAysrKMJvNXHHFFaxdu5bLL7+cG2+8keLiYsaMGYPV2raRactmLEdq81/+fuqP0TSTWiYW5uYy/GNVXBlZiRXgp/rGGd0XqyWmEcGH+3J0VgXaiYzbkeeaNLUUrbHylH6tE6eppSJRIcd/6onq7OpAixlMZigxetdtTS0ViQv3wl3LNFV1Um/0jsGHlojGhh3/qZ7gjmP5WK+haRAWDAc6YeOwAD/oGu2dPc4sFrUDrNH8/NSmQKdyvJwO3/OuxESoTWyM5ucHXWI61gvsdLsmON7v42+FXZ1xnFohKfrUv6NOt2NVBwKsavMDo+e1Fqv63rec5jmgk/m3CfU3tbnBExMTww033MDIkSMZPHgwO3fubP1ZU1MT+/btY8qUKSQlJbUuwerVqxcHDx6kvLwcXddZtWoVy5Yt4+abbyYiIsLluP7+/nTv3v2ElzadCbp27UpxcTFNTU0AhIWFcf311zNhwgTS09PbLMtyOBzk5uYSGxtLt27dWpdepqWlUVRURFlZGVFRURQXF7NmzRq+//57dF3HZrO1S/D4+fmRmppKSIgHLvw7WUJCAuvWrWvdVTMgIIBf/epXXHDBBfTs2bPNMk6n08nu3bsJDw+nd+/erUvaunfvTmlpKcXFxQQHB2M2m3E4HLzxxhtomkbXrl2ZPHkyn3zySetrWa1WkpOTvXJzgNjYWLKyslo/xxaLhWuvvZapU6eSnJzc7vnZ2dkEBwczYMCA1mM4OTmZysrKNktiQS03fO2113j55ZdJT09n7dq1rcerxWIhNTWViIgIr1uq6efnx759+1qrwTRN46qrruLKK68kLi6uXU/HnTt3YrVaGTJkCPn5+YBaQltXV0dJSQlBQUFMmjSJ//u//2PDhg2YTCbOP/98xo8fz8svv9x6jjGbzYSEhLRW/7ZokzgL8oeQAPUlYdh36KFmz+cPhfOGGDWocXQdvlyjdg8y7MJEAz8LjE6HqaMMGtNAug7Ltqqm0oY1s9dUcumsXjBzokFjGkgHMnfDngPGxtSkQf9UuGmKQWMaSAdyCuD5hcY2ldaA3l3gd5caN6aRDpZDVr7Bjbo1SI2D+64wcEwDVdbB/71tcD9MTfUBe/BK76zmaWyGzXsMviGgQWKkOk47o7eqp9mdcNdrBm8QoEFcBNw5TV0jexuHE+57A+qbDBxUg7gwuGsaRHpfPgK7PZC/3RdIzaG+zY2NjeTl5TFu3Diio6Pb7NDocDjYsWMHmqZxzjnnUFBQQHx8POPHj+ftt99unRg7nU7efvttxo8fz+jRo1mzZk27cVNSUvjoo48YMGCAIe/TSA6Hg7POOqu1L1ZzczP5+fk4nU5iY2MpKipqfW5Lkqe8vJwpU6aQk5NDTEwM48eP5+OPP0bXdRoaGmhsbCQxMbG10i8wMJCmpqY2vdSSkpJ48803GTt2rLFv2AAOh4MpU6awZMmS1uWCe/fupaGhgYSEhHbL1vLz89m9ezeXXXYZW7duJTw8nHHjxvHpp5/icDgoLS3lp59+4tJLL2Xjxo00NTXx5z//mcjIyDaJs9jYWJ5//nkuvdT7LlKdTifXXXdd63HmdDrZu3cvVVVVjBgxol0yrKCggA0bNnDVVVexbt06goODGTt2LIsWLaKpqQl/f/82ifD8/Hy+/fZbnnrqKaZNm9a6EUNkZCR//OMf+fWvf23o+zWC0+nknnvu4dVXX21dCrt3715KSkoYNmxYu55yRUVFLFmyhFmzZrF8+XL8/f0ZPXo0K1asaO1ZVlVVxdChQ5k/fz7BwcH07duX5ubmNonz0NBQunTp0q7arU3izKRBQhQEBUKdgXf1woPV3TxvvHjWNIgNV1tuV9UZN25IgJroeWtMI0PVnzIDK6QC/aBnopfGFPU5jI2AIgNbEfhZVZLHW2MaEqjOqQUGVp6YzdAv2TtjCocqv2Ihv+j4z3UXswkGpHpvTP0tkBIPew4aN6bJBP1TVEy9Ma4WC3RPgF0Fx3+uu5g09dk3mbw0piZIS1KbdBjFpKnvKKvZS2NqhrQusDkXw+6Yaxr0SFQVhN4YU6vVwujRo9m/fz9Op5Pa2lrmz5/PZ599xpNPPklSUlKbCVpWVhYfffQRt956K5dccglJSUls2LCBZ599ts3r1tTU8MQTT9CvX792jfJbdj2MioryyqWcJpOJs88+m+3bt2Oz2WhsbOSLL77gm2++4cEHH2TQoEFtYpqfn8+bb77JH//4x9aEZU5ODk8++SSgdswrLCzkpptu4le/+hWglsMtWLCAl156CVCVLf379ychIcFrYzp06FBWrVpFQ0MDNpuNRYsW8d///pdbbrmFSZMmtemDVlZWxgsvvMBTTz3FoEGDCA0NpaysjL/+9a/ouk5FRQXvvvsuTz31FP/85z+JiYkhMTGRe++9t/U1NE2jV69erUs8vY3JZGLgwIF8++23VFdX43Q6Wbp0KcuWLeOqq67i2muvbdPPrL6+nscff5zXXnuNjz/+GD8/P+rq6njmmWew2Wxcf/313HHHHe3GsFqtjBs3ji+//BJN00hJSaFXr15eG9O+ffsSFRXVWj26cuVKVq1axeTJk7nrrrvaVNnZ7XYefvhh5s2bx8KFC3E6ndjtdp544glqa2vRNI0nn3yShx56iLPOOgur1UpwcDB33XVXmyRcQkKCy5sQ7fYm7J4AEUHGJc40IDxILS3wVskxKnlmZOIsKABS440bz2jxEZAUZWzizN+qLtq9VWSISrYamTizmKFv++plrxEaCGmJcKDUuCpes0lV8XmrQD+VHNhbZFxMNQ0GdDdosE5gtUBGN8g9aFxMTRoM9OKYmjUYmgY5B4yrNtc0SE/tpD6ABjmrF+zcZ1xltKZBn2R1Q8JbDe8NW3PBqIJTk6ZuQvpbj//cM9UVV1zBwoULaW5ubn3MZrMxd+5cUlNT2zze3NzMv//9bzIzMxk6dCiFhYUsXbq0dQndkdavX8+f//zndssxTSYTw4YNIyoqynNvqpNdeumlfPTRR9hsh7cMttvtzJ8/n8zMzDbxstvtfPbZZ+zatYuzzjqLiooKli5d2rqErqKigtmzZzN79uxjjmcymRgwYAAJCQkee0+dbfLkybz77rttqsscDgfffPMNeXl5bZr6OxyO1kqes88+m7q6OpYtW0ZxcXHrczZs2MDNN9/MhAkTiIyMZOPGjfz000+tP9c0jd69e5Oa6r0XqePHj+df//pXm11ynU4ny5Yto6qqqk11pK7rrFu3jquvvppRo0Zht9tZvnw5+/btQ9d13nnnHd55553jjpmSkkLv3r098n5OB8OHD6dLly5tdrzVdZ2NGzfy0ksvtS7JbLFjxw6mT5/OmDFjMJvN/Pzzz+Tl5aHrOrqu8+6775Kdnc2IESNwOBwsXbqULVu2tCY1W3Y1zcjIaPe7tEucdY1Rf4oqjVli4G+F3l1VtYu3io+ElFjYW2xMfxzroWREZOjxn3umig5TSd7sAmiyHf/5p8qsQb8UiPa+JfmtwoPUxezWPGOWbWioipPYCM+P1VmCAqBXF1i/S/U69DQNSE9R5xxv5W+FPl1hRRZUG9A7UkOdTxO9dz6CxazOb0s2q2WbnqYBvZJUpbnXbmBzaBl6ZDCUG7T5XY9EVY3prTEFGNANokKh1KCbZilxkBzbCRtnGWhAqrqmKq02JsmbFKVu7HpzMnLy5Mn07NmTHTt2tKmE2rJlC1u2bGn3/MbGRtasWeNyCebR5s+f3+6xtLQ0hg8f7pX9zVpMmDCBXr16kZmZ2aYSaufOnW36xrVobm4mMzOTzMzMkxovOTmZkSNHtuuh5E3GjBlD3759KSsra1MJlZubS25ubrvn22w2tm3bxrZt21y+XssmAq7+LkB8fDyjR49u07jd2wwbNoz09HT27dvXJslbUFDQphdfC4fDwa5du9i1a9dJjRcZGcn48eOJjY096d/5dDdgwAAyMjLYsWNHaw8ygJKSEr799tt2z3c6neTl5ZGXl+fy9Ww2G8uXL2f58uUufx4cHMyECRNITExs97N2lwJ+FhiVriZ8nqahvqxH9PXq6zysFhjWCyIM6uUQFgzjBnh3TC1mGNjNuARBUABMGuzdMTWbVUIi2aBzb4A/nD/My2NqUgnetC7GjOfvBxecZcxYncVkUjd30g26YelnVT04vbmKRzvUx2lomjHj+Vlh4uBDy9+MGdJwmqY2khnZz5jlaH4WGNdfVWR6c0zDgmD8QGNiajXD2X3UTSVvjSkcvr4xgsUMg3tCTLh3xzQsLIx77733hHaDO1l+fn5MnjyZgQMHGjJeZzEyphaLhTFjxjBq1CivjmlISAh33HFHu90EPcFsNjNkyBDOO+88r45pcHAw//u//2vIzpctyxinTZvm1TENCgpi1qxZREdHe3wsTdNITU3luuuucxlTl/fQenWBYWmevxtkMcO5g9UyRm/XPUHF1M/D5yaTBpOHeHfFSYuusWqiZ0TD3snDINHzn9dOFx+pYhoW5PmxzhusEiDeLjpMffajDLhpeU4GJMd5fpzOFhakYhof4fmxxqSr87e3CwqAob2M+Uye1UstYfbi6zxAfd8P66WWwHvawO6HlhR6cWUUqPc3NM2Ytgl9uqqqQWu7tRneRUMdp/0MaJvQLR4G9VC7eXq76dOnc8EFF3i871C/fv2YMWOGVy/TbHHZZZdx6aWXejymLRNnb67iaXHhhRdy+eWXezymsbGx/OY3vyEpyYt73hwyadIkpk+f3mYjEE8ICQnhlltuISUlxaPjnA7Gjh3LFVdcgb+/Zyf9fn5+3HHHHfTs2dPlz11+SvwscMnZancmT91lN2nqi3pkX++/eAZ14TV5qJqUeOrcZNJgSE8YO8C7qyNaWMxwzkDoluC5yYJJg4zuMGGg78R0ZF+1fNrqofN9yxKmCYN847NvNqmJwoBu6tzqCZqmJnkTMlQDbW+Pq8mkJnlD0tRmAZ6goZYun5PhvU2sj2TSVIJwRF/P3YzQUG0Lxg2E4EDvj6mmqeWo4weqjUI8JSlKVZlHBPtGTGPC1Y2XMA9WgsWGw5j+qhLTF2IaFgQXDlcrIzz1diNCYFQ/dR3s/THViIiI4NFHH6VLly4eS0rExMQwa9YsRo4c6dUVJy1CQkJ44oknPNpcPiwsjJkzZ3Luued6ZbP1owUHB/PXv/6Vbt26eSzRExgYyDXXXMMll1ziEzENCgpizpw5pKWleSymVquVq6++miuvvNInYhoYGMhDDz1E3759sVg8M5kym83MmDGDWbNmHTOmx4x0aBD874Weubg1adAtDq6d4PkKrNNJSCDcNOXQxZ4HYpocCzMnem5yfjoKDoBZ56qqHncntkwadIlWx6mnJueno0B/uHIsxEe5P8mraSohP2OsapzvA9d5gDp+Lh1xqK+LB2IaFw5TR6mqNl+JqZ9VVdf26er+6uiWNgIXDYeESN+JqdUMY/urRK8nrksigtW/Wbd437gRAerz3nKT0BPfzWGBKjHXp6t39+E6kunQJgjnDvbMNWSwP4zqqz4H3l7B16Jlp8uLhqsl/+4W4Adnpamly97c2+xImqaRkZHBU089RVhYmNsTW0FBQVxyySX89re/xc/Pdy5Se/XqxSuvvEJERITbEwb+/v5MnjyZBx54wOOVLaeT5ORk5s6d65GYWq1Wxo8fz+zZswkIMKAP1GkiISGB999/3yM73VosFkaOHMmzzz7r1X0NjxYXF8cHH3xAdHS02xOSFouFYcOG8dJLLxEUdOxlV8f8l9Q0SIiC2y9TkzF3XTxYzOqu9q2Xqgm6L9E0dRfzrmkQE+bGmJpUA9ubL1QJT1+Z5IF6r9FhcMdU1WTe4qaYmk1qp9frJ6vX9yWapjaW+O0lqiG6xU3nJpNJvd41Ew81BfchmqY2QLlxivqsuquaz3QoaTZ9rJr0+NBHH01T57uZ56pG8+5KSmgaRIXBxSPU5NzXzqfBAep4GpDqvl3vNA4lzYbBsD6+kzQDFdNAP7jobBjW2703YUIDYXyGSpz5SoIHVEz9rarCduwA915LBgfAiH4w5Sz3ffedCTRNfS+N7KdWRwQHuO/7JNBPLa2fNsZzleynI03TsFqtTJ06ldmzZxMbG+u2CXRwcDCXXHIJL730kk9NnDVNw2w2M2nSJP72t78RHx/vtgl0YGAgkydP5l//+pch/alOJ5qmMXLkSN566y2SkpLcVtETGBjIOeecw0cffURIiEGNvk8TmqYxaNAgPvroI7p27eq2mAYEBDBmzBgWLFjg1RtXuKJpGn379uXzzz8nJSXFbb35/P39Ofvss5k/fz4RERG//Dvo+i/voePUIb8IFixX/9t4kjsYaqjlH/27weVjINqHKiOOputwoAz+8xPkFkJD8/H/jisa6iK8bzJMG62SEr4c09IqeH8J5B6EulPYFTLAqpq5XzZSVQj50iTvaBU18N6PsPvAqe0K6WeBHglw0YhDlRE+HNOqOnWc7toPNQ3HffoxWc0qCXfBcMjo5jvVJq7U1MNHP8GOvVB1CjttWkyQFKMmjsN7+1Yy4mi1DbDwZ9iSe2o7bZo11Tvx3CGqms2XY1rXCF+sgo05p7bTpunQTbhzMmDiIN9K8Bytvgm+Ww9rdxzaFfIkX8eESpiPHQBThvl2TBub4cdN8PM2KK46+Z02NSAyBEamwyUjfCtpdrT6+nrmzp3Lq6++ys6dO7Hb7Sf1OiaTiYSEBK699lrmzJnjUxU8R2tsbGT+/Pk899xzZGVl0dx8cpMpTdOIj49nxowZPPnkkz6XNDtSc3Mz3377LXPmzGHr1q00NJzcRaqmacTGxjJt2jSeeuopwsPDfWIpsSt2u52ffvqJP//5z2RmZlJXd3IXVJqmER0dzcUXX8yTTz5JfHy8z8bU4XCwYcMGHnjgAdavX09NTc1JvU7LkvopU6bwxBNP0K1bt+PFdN1xE2dwOCnx01bYmgeFFWB3HO9vHeZvVT0Nhqap/gahBjQeP93pupqMLNsCm3KhsByaT+B71GpWMc3oofpwRPpWIt8lXVeTveXbYEOOiumJJHpbJs39U1W/GF/YtOJ4dF1dRP+8DdbugoPl0HACSUnToR4/fZNVVUSi9/euPS5dB5sdVmTBmp1woFxNqDtK01QceyWpiouu3t+7tkPsDli1HVbtUDcmTiQpqaGSOz0SVSKiW7zHfs0zisMBa7Ph5yx1nFafwPWehuoPlRqvltT1bL+rt09yOGDDbvU9daAMKk8ggaah+nulxKpEZG+Ddus93TmcsHkPLNsG+0vVDZ+O0lAJs5RY9dnv5/09ljvE4YSsfFi2FfaWQFl1x/+uhupnlhKrkrsDuvnuTd0jORwOlixZwj//+U/Wrl3Lnj170DSNDkzD0DSNxMREBg8ezM0338xll13m8cbjZwKHw8Hq1at5/fXXWbFiBbt37wbocExjY2MZPHgwN9xwA9OnT/ep5ZnH4nQ6yczM5PXXX2fp0qXk5OTgdDo7HNOoqCgGDRrEr371K6666iqfTkS2cDqd7NixgzfeeIPFixeTnZ2N3W7vcEzDwsIYNGgQV199NTNnzjxuVZQvcDqd5OXl8cYbb/DNN9+QnZ1NU1NTh2MaHBxMRkYGl19+Oddffz1xcR3axaljibMWTTbIK4SsvbC3GArKobLG9R0+s0ktR0yKUf3M+ndT/aJ8+S6eK812FcusfMgrhoIyddHn6l/FZFKVel1i1AVJ/1RVcSIxbcvuUBfP2/Igt0jFtLxaVU8ezaSppchJ0Sqm6alq0uztu2idKIdDJc225qsqyf2l6kLa4Wz/XJOmLpqTolXfvfQUNWmWmLbldEJRpTpOdx+E/WXqBoWrmxKappa6JUZDcoya3PVK8q0ekR3RcpNnax7kHFTHaUmVSlQeraUhdlK0ugnRL1ltiuGu5YneQtfVd9LWfMg5APtKobgSml3clNBQvTxbjtO+ySqunuiZdCbTdVV5ui0fdhUcjmmji4IJDbXjaWKUOp/26arOqQF+kow4WnW9Op/uOqA++4UVx77RE+Sv2pEkx6jPff9U9ZjEtK2aBnV9uqtAxfRgBdQf40ZPgJ/qCdk1ViV1+6f6Vi/TjiorK+OHH35g6dKlbN68me3bt1NWVuZywhcUFETv3r0ZPHgw48aN4/zzzycpKcknmoGfiIqKCpYsWcKSJUvYtGkT27dvp6SkxGVMAwIC6NWrF4MGDWLMmDFMmTKFlJQUSUQepaqqiuXLl/PDDz+QmZlJVlYWRUVFLmPq5+dHWloaGRkZjBo1iilTptCzZ0+PNXE/U9XU1LBy5Ur++9//snHjRrZt28bBgwddxtRqtdKjRw8GDhzIyJEjOf/88+nbt6/blid6i7q6OtauXcvixYtZv349W7du5cCBAzid7SeoFouF7t27M2DAAIYPH86UKVMYMGDAifSIPLHEWQubXU1OSqrV3dKqevVF6nCqJE5IAISHqCqo2HD39kjzVjY7lNWoSV5lrbqorm8E+6GYBgeoHkktMY12Y480b2V3QHmNWmpQWQOLNqjY6qjJSGwEnN1HJXRbYipJyF9md6gYFldBRS1U1aolnHaHOh6D/A8fpzHhKq4S01/mcKrPe1GlSlBU1anKSZtDJSFbYhpx6LPf0stPJiPH5nCqSXRxpToHVNWpCaDNrmIa6A/hQRARqm7wxEWoKl6J6bE5nSqGLTFdvg32lahYa6iYZvRQSZ2WmPpZJKa/RNfV+bO4Qn3/V9aqGDfZDrdiCDvqOA3wgR1eT4Wuq+WbRZXq5k5lrVrK3Xgopv7WwzGNDlUxlYTZL2upPG+JaUVLTA8lev1aYhqirvfjItQ1qy+3ZDgeXdepra0lOzub/Px8fvzxRz755JPWJUcmk4nx48dzzTXXkJycTK9evYiJiZHkznHU1dWxa9cu8vLyOHDgAIWFhVRVVeF0OgkMDCQ2NpakpCSSk5NJS0tza480b1VfX09OTk5rTA8ePEhVVRUOh4OAgABiY2NJTEyka9eupKWlkZiYKAmz42hoaGD37t3k5ua2HqeVlZXY7Xb8/f2JiYlpE9MuXbpITI+joaGBvLw89uzZw+7du3n55ZcpLi5G13U0TWPAgAHMmjWLHj160LNnT5KTk08mCXlyibMWuq6SEDa7mjjr+uEGo1YLoPlWs2p3aPnXaJaYupXDCU//B/KLDz/WN1ntQhobITE9GS1LDm1HHKcW86EEhEliejJ0XcXTblcVkpqmEpJWi6o4lZieuCNj6tBVDC1miemp0HV4d7Faamw/dFMvMgSmj4Gz+khMT4auq+98m0MlKeHwZ99slpieDF1X3/02++HqaInpqXEVU5NJJcklpidH13Xmz5/PfffdR2FhIaASZ7///e957LHHfLaP0anQdR2Hw0FDQwPNzc3ouo7FYiEgIAB/f3+J6UlwFVOz2UxAQAABAQES05Og6zpOp7M1pk6ns01MAYnrCdJ1ndLSUqZMmcLWrVtbH58xYwavvfbaqe5wvO6U0peadvgOnixvcY+Wf0uJqXtpqETEkUsL9UOTaDklnRxNU3eaZbmg+2iamoC4a4dIITH1BE1T51O78/A51eE8XM0rTpymqYSOLGl3n5abOVL17D4SU/drmcTZbDZsNlvrYy2VEuLEaZqGxWLxuV0HPUli6n4tu8T62o6jnqRpGpqmYbfbW8+nQOvSzVM9p8piPyGEEEIIIYQQQgghXJDEmRBCCCGEEEIIIYQQLkjiTAghhBBCCCGEEEIIFyRxJoQQQgghhBBCCCGEC5I4E0IIIYQQQgghhBDCBUmcCSGEEEIIIYQQQgjhgiTOhBBCCCGEEEIIIYRwQRJnQgghhBBCCCGEEEK4IIkzIYQQQgghhBBCCCFckMSZEEIIIYQQQgghhBAuSOJMCCGEEEIIIYQQQggXJHEmhBBCCCGEEEIIIYQLkjgTQgghhBBCCCGEEMIFSZwJIYQQQgghhBBCCOGCJM6EEEIIIYQQQgghhHBBEmdCCCGEEEIIIYQQQrggiTMhhBBCCCGEEEIIIVyQxJkQQgghhBBCCCGEEC5I4kwIIYQQQgghhBBCCBckcSaEEEIIIYQQQgghhAuSOBNCCCGEEEIIIYQQwgVJnAkhhBBCCCGEEEII4YIkzoQQQgghhBBCCCGEcEESZ0IIIYQQQgghhBBCuCCJMyGEEEIIIYQQQgghXJDEmRBCCCGEEEIIIYQQLkjiTAghhBBCCCGEEEIIFyRxJoQQQgghhBBCCCGEC5I4E0IIIYQQQgghhBDCBUmcCSGEEEIIIYQQQgjhgiTOhBBCCCGEEEIIIYRwQRJnQgghhBBCCCGEEEK4IIkzIYQQQgghhBBCCCFckMSZEEIIIYQQQgghhBAuSOJMCCGEEEIIIYQQQggXJHEmhBBCCCGEEEIIIYQLkjgTQgghhBBCCCGEEMIFSZwJIYQQQgghhBBCCOGCJM6EEEIIIYQQQgghhHBBEmdCCCGEEEIIIYQQQrggiTMhhBBCCCGEEEIIIVyQxJkQQgghhBBCCCGEEC5I4kwIIYQQQgghhBBCCBckcSaEEEIIIYQQQgghhAuSOBNCCCGEEEIIIYQQwgVJnAkhhBBCCCGEEEII4YIkzoQQQgghhBBCCCGEcEESZ0IIIYQQQgghhBBCuCCJMyGEEEIIIYQQQgghXJDEmRBCCCGEEEIIIYQQLkjiTAghhBBCCCGEEEIIFyyd/QsIYRSLWf0B0A79N1pn/kZCCHFmspjBagHNcfi/TXI+FUKIE2Y2mwkICCAgIAAATdOwWq2d/FsJIcSZyd/fv/V8CuDn54emnfpFqiTOhNfSgfJqyC2EvCIoqwanfugHGhwsg+/XQ1oSpHWByBBww2dKCCG8jg40NKlzaW4h7DkIdgc4nerndY2wZgfUNqpzakLk4RsVQgghDtN1HYfDwaZNm1i9ejWLFi2ioqICu90OqMTZokWL8Pf3Z8SIEQwdOpSIiIjO/aWFEOI0pes6OTk5rFq1itWrV1NQUNB6PgVYt24djz/+OCNGjGDUqFEkJiae1Diaruu6u35pIU4HTl0lxZZugZ371WSvrhFsdjX5a6GhKiaC/MHfD3omwoQM6BYvCTQhhADQdXUOXbEd1u6Eyjr13022QzcijmAxQ6AfBPhBUjSMHwgDUsEkTSGEEAKApqYmPv/8c15//XX27NlDbW0tVVVVNDc3t3mexWIhODiYiIgIkpOTueaaa7jmmmuIiopyS+WEEEKc6ex2O6tXr+Yf//gHa9eupaamhvLycpqamjgyxWUymQgMDCQyMpKIiAjOPfdcbrnlFvr163ci59N1kjgTXqHlKG60wU9b4L8boaYe7M6Ov4bZBMEBMKofnD8MQgMlgSaE8E0t59TNufDxT1BZC81H3Xz4JSYTWM3QqwtcfQ7ER8j5VAjhm1qmWuvWrePBBx9kw4YN1NTU4HR27CK1ZdKXnp7O008/zbhx4zCbpaRXCOF7Ws6nhYWFPPvss7z//vuUlpa2qTA7noCAAJKSkrjjjjv4zW9+Q1hYWEcSaJI4E95B19XE7v0fYfMeNbk72QPbbIJ+yTB9LHSJUZVpMuETQvgKXYfGZvh8JSzZDA7nqZ1PQwPhqvEwNE0l1OR8KoTwFbqu09TUxAcffMAjjzzC/v37O5wwO5rZbMZkMvHoo49yzz334O/vL9VnQgifoes6TqeTbdu2cdddd/HTTz+d9PlU0zQsFgszZ87kscceo2vXrq2PH4MkzsSZT9fhQDm89Q0UlLVfPnSyeibCleOhe7wsNRJC+AZdh4pamL8MMveoJe7uEB4EF4+A0engLz2vhRA+QNd1amtrmTt3Lk888QRFRUW4Y9plMpm4+eabmTNnDrGxsW74TYUQ4vTndDpZtWoVN910E9nZ2SedNDvaBRdcwN///nfS0tJ+MXEm6QBxxisog7e/hf1uTJoB7D6oJo8Hyg8vWxJCCG9WVQdfrIJNue5LmgFU1cOi9bB+l1ryKYQQ3q6pqYkFCxbw17/+1W1JM1CTx3fffZdHHnmEkpISt7ymEEKc7tatW8cNN9zg1qQZwHfffcfvfvc78vPzf/F5kjgTZ7SyavjkZ5U880RyK+cAfPoz1DS4/7WFEOJ00rIJQOZuaLa5//VLq1X/ybzCw7txCiGEN3I6naxcuZInnniCwsJCtyXNWjQ0NPDhhx/yr3/9i7q6Ore+thBCnG527drF3Xffze7du92aNANVHfz999/z8MMPU15efsznSeJMnLFsdli2FbL3qx48nrIlDxZvlKozIYT3cjohtxBWboPaRs+Ns68UftysxpBzqhDCG+m6Tnl5ObNnz2bXrl1uT5q1KC8v591332X58uUeG0MIITpbfX09Tz75JGvXrnV70uxICxcu5M033zzm+VQSZ+KMlV+sdnxr9EBlxJGcukrQ5Rd7dhwhhOgsdY2wbhcUV3l2HF1XG7js2CeJMyGE93rvvfdYsWKFx8fJzs7mk08+kSWbQgivtXjxYhYtWnRCO2eejMbGRubOncu2bdtc/lwSZ+KMZHfAllw4eOxqSrdqaFRVZ0II4W10HUqqVP8xd/aJPBabHX7IBJvD82MJIYTR6urqePbZZ2lubvb4WM3NzSxevJjNmzd7fCwhhDBaU1MT8+bNo7Cw0ONj6brOvn37mDdvnsufS+JMnJFKq2FviUqgGcGhqyWhZdXGjCeEEEaxOWDbXmjw/BwPAB3YUwgHPdSbUgghOtNXX31FcfGxlyl89913vPLKK+0ef+GFF3jvvfcICAho97M//vGPfPTRR0RHR7f72Z49e9iwYQP19fWn9osLIcRpZuPGjezcudNltdn111/PwoUL6d27d5vH09PT+e6777jssstaH5s+fTolJSWUl5e3+zN16lTMZjMAtbW1/Pzzzxw8eLDdeBY3vzchPE7XobjSuGqzFnYH7NwPo9ONHVcIITxF18Fuh615qIyWQUwaZO6B1HjjxhRCCE/TdZ2FCxficBz7zm5ISAhBQUHtHg8MDHT5OEBAQADBwcGYTO1rHjRNY926dZSXlx/z7wshxJlG13XWrl3LgQMHXP7cz8+P4ODg1qRXC7PZTEhICH5+fq2PbdiwgYCAAF566SUyMzPbPH/9+vVteqeVlJSQmZlJYmJim+dJ4kyccXSgokb9MVJjs2qeLYkzIYQ3abLB3mJD82Y4nLB9L0wdZeCgQgjhYTabjVWrVv1i4szdnE4nmZmZVFZW0rVrV8PGFUIIT3I4HGRnZ//iTpcdlZeXx4YNGxg2bBivvPIKhYWFxzxPFxUVkZWVxYUXXtjmcVmqKc44NjtU1RnTi+dIdgeUVsnSIiGEdymtNm7Z+5EKy40/jwshhCcVFBRQV1dn+Lj79++ntrZWdtcUQniN6upqSktL3baT5j333IPZbObFF1/k/PPPJyoqyuXzampqKCgoaDeuJM7EGcdmh7om48fVUVVnNs9u6CGEEIaqrO2ccRtt0OzhXZGFEMJIv1TF4EkNDQ2SOBNCeJWamhpqa913kbphwwZuu+029uzZwz333MPvf/97evfu3W4JvMPhoKamBput7UWqJM7EGUfXoROuSQBVHeFwT9JbCCFOC511M0DvxLGFEMITGhsbOy151ZljCyGEu9ntdpebApyK7OxsHnvsMV577TWGDBnC/fffT0xMTIfGlsSZOONoGpiNPnJ19UfT4Kj+g0IIcUazdka300NzO4t0WhVCeJGAgAA0TeuUsf39/TttbCGEcDez2YzFTReKoaGhXHHFFURFRVFTU8OXX37J/PnzGT9+PL1792537nQ1tlyyijOO1QJB7Xfq9jwNAvzAKokzIYQXCQ/pnHH9rRBg7ZyxhRDCE+Li4trt8AbQt29ffvWrX5GUlERaWhrZ2dkAxMTEMHPmTAYPHsyYMWNaHwc10bv66qsZPXo0Q4cOpbi4+Jjj+vv7ExoaKokzIYTXCA0NJSSk7UWqn58fM2bM4LzzzqNPnz5t+pBdeOGFXHnllURFRREZGdnm79ntdp555hnuvvtuPv/8c2w2Gzk5OTQ3NxMXF4fJZGpdZu9qV06QijNxBrJaIDxIVX8ZRgOLGaLDDB5XCCE8LDYMTEaf1zRIiJTzqRDCuyQnJxMQ0P7ubl1dHVVVVQwaNIjIyMjWBJfNZqOiooLk5GS6dOnSJunmcDgoLy8nNjaWbt26/WLlRZcuXQgODpbEmRDCa0RERBAVFdXmvOZ0OikrKyM4OJjevXu3SW6VlZVhs9kYMmQIQUFBbV6roaGBoqIirr32Wvz9/fHz82PYsGFERESQn5/fpjdlcHAwSUlJ7c6nkjgTZxwNiAyFCIOrJAL8oEeCsWMKIYQnaRr4WSE5zthxzSZITzF2TCGE8DSr1crIkSPbNZvet28fzzzzDGPHjmXVqlWtTaerqqp49913ufjii3n//ffb7MhZX1/PwoULmT59Oi+//DJVVVUue5iZTCaGDBlCRESER9+bEEIYyWQy0bt37za7X9rtdr777jtmzpzJn/70J0pLS1vPi2vWrOHWW29lxowZ7ZJhAH/6058YM2YMS5cuZfHixfzhD3/go48+Ys+ePW2el5CQQP/+/dv9PrJUU5xxNA3iIiApCipqjBvXzwJpScaNJ4QQRrBaYGAq7C1Wm68YQQcGdDNmLCGEMIqmaUybNo0vvviC5ubmdj9vaGjgscceIywsrM3jzc3NvPnmm3Tv3r1dQ2qbzcZHH31E3759aWhocDnu0KFD20wuhRDiTKdpGmeddRZJSUmUlZW1+ZnD4eD777+npKSkzc90XWfXrl387W9/Iycnp83f+e9//8u0adOYOHEi0dHRvPTSSyxevJiKioo2z4uLiyMjI6P976PL9iviDGSzw5erYfFGaDZgVzaTBsN7w00Xqoo3IYTwFroOOQfg1S+gttGYMXskwL1XqGo3OacKIbxJeXk5w4YNIz8/35BdLrt3787rr7/OeeedJ0s1hRBepa6ujhtvvJFPPvmktVLXk4KCgrj99tt58sknjz6frpOlmuKMZLWoaoW4CGPGC/KHSUNkgieE8D7aoX5jg3sa03PMz6LOpxaznFOFEN4nMjKSO++8s91yTU+wWq1MnjyZQYMGSdJMCOF1goODmTlzJtHR0R4fS9M0kpOT+dWvfuXyfCqJM3HGSo2HjB6q95injRsIqQb3ABJCCKMEB8BZvSA+wvNjZXSHPl07YUMCIYQwyMyZMxk3bpzHk1m9evVi+vTpxMTEeHQcIYToLJMmTeKiiy5qt8ulu1mtVm666SbS09Nd/lwSZ+KM5WeBCQNVAs3soSNZ0yA9Gc4bAgbcOBRCiE5hMkHPJDi7LwR68LqkSzRMyIDQQNlRUwjhnTRNIzY2lkceeYTExESPVZ5FRUVx7bXXMm7cOEOq24QQojOEhITw8MMP06tXrzY7D7uT2Wzmkksu4X/+53+OOYacZcUZLSIErp2g/tfdk7CW5UtXT1CTPCGE8Gb+VhjXXy2Dt3jguiQ8CCYNhh6JciNCCOHdNE1jxIgRzJ49m+DgYLdXngUGBjJlyhRuv/12goKC3PraQghxuunWrRtz584lIiLC7TcKzGYzAwcO5KWXXvrF3Ynl0lWc0TRN7a55+2UQHuy+yjPToZ07rz8PEmSTIiGED9A0dR69Yhz07gpWNybPQgJh4mAY0c8zSTkhhDidaJqGv78/V111FQ899BBhYWFuS575+/tz7rnn8sorrxAeHu6W1xRCiNOZpmkMHTqUhQsXEhsbi8ViccvrWiwWBg4cyMcff0xiYuIv/w6yq6bwBroOxZXwr0WwvwSaTmGnTatZLf+cPhZ6JkofHiGE76mph/eXwPZ8qGs6+dcxAZGhajOAiYMkaSaE8D11dXW89tprvPzyy+zfvx+Hw3FSr6NpGmFhYVx99dW88MILBAbKcgghhG9xOBysXr2aO+64g6ysLBobT347+KCgICZOnMjf/vY30tLSjndzY50kzoTX0HWorofFG2HjbiivAdsJJNBMGsSEQ99kmDxULdMUQghfZXfAsq3w0xaoqIW6E7g20YDwEEiMhIvOVudVIYTwVXa7nW+++YYXX3yRrKwsDh482OG/q2kakZGRpKWlcfvttzNz5kyP9fkRQojTndPpZNeuXTz33HMsXryYgoICbDYbHU1rBQQE0KNHDy6//HJuu+02kpKSOvLXJHEmvI/NDrmFsCEH9pZAcRVU16nE2tE0TfXdiQmHxCgYkgZ9uoCf1fjfWwghTje6DiVVsC4bdh1Qlb0VNWBzUTChAYH+6nwaH6F6pQ3pqR4TQggBRUVFfPbZZyxatIjdu3eTl5dHVVWVywlfQEAAKSkp9O7dm/HjxzNjxgxSU1NlIwAhhABqampYsmQJn3/+Odu2bWP37t2UlJS4PJ+azWaSkpLo2bMngwcP5oorrmD48OH4+3f4IlUSZ8J72exQVAH7y6C0ClZkqeVHLQd8VChkdIeuMZAUrf7IMiIhhGjP6YTKukM3Iypgcy4UVarHAQL81NL2nkmq72TXGPWY7JwphBBt6bpOZWUlmZmZ7Ny5k2XLlrF48WLq6+vRdR2TycSwYcO49NJL6d27N4MGDSIpKUmqzIQQwoW6ujqysrLYtm0bu3bt4tNPP6W8vLz1fNq9e3fOP/98+vTpw8CBA+nVqxd+fie8hfw693RVE+I0ZLVA11j1x+GErXlQWasSZxoQHQbjB0JshPpvIYQQrplM6mZDVKiqQiuthgNlajknGgSbYFAPGNpLzqdCCPFLWpZeTpw4kQkTJhATE8PPP/9MdXV160RvzJgx3HPPPW7fjVMIIbxNcHAww4cP56yzzqK0tJQlS5Zw4MABdF1H0zR69+7N3XfffcqbtEjiTPgEDZU8O3J5kdOpHpdLEiGE6DhNg2Yb1Dep8ypAgFX9fzmfCiFEx2mahq7rNDU1tTa5bnlMkmZCCNFxmqahaRo1NTVUVla2Pt7Q0ND681Mhi+SFEEIIIYQQQgghhHBBEmdCCCGEEEIIIYQQQrggiTMhhBBCCCGEEEIIIVyQxJkQQgghhBBCCCGEEC5I4kwIIYQQQgghhBBCCBckcSaEEEIIIYQQQgghhAuSOBNCCCGEEEIIIYQQwgVJnAkhhBBCCCGEEEII4YIkzoQQQgghhBBCCCGEcEESZ0IIIYQQQgghhBBCuCCJMyGEEEIIIYQQQgghXJDEmRBCCCGEEEIIIYQQLkjiTAghhBBCCCGEEEIIFyRxJoQQQgghhBBCCCGEC5I4E0IIIYQQQgghhBDCBUmcCSGEEEIIIYQQQgjhgiTOhBBCCCGEEEIIIYRwQRJnQgghhBBCCCGEEEK4IIkzIYQQQgghhBBCCCFckMSZEEIIIYQQQgghhBAuSOJMCCGEEEIIIYQQQggXJHEmhBBCCCGEEEIIIYQLkjgTQgghhBBCCCGEEMIFSZwJIYQQQgghhBBCCOGCJM6EEEIIIYQQQgghhHBBEmdCCCGEEEIIIYQQQrggiTMhhBBCCCGEEEIIIVyQxJkQQgghhBBCCCGEEC5I4kwIIYQQQgghhBBCCBckcSaEEEIIIYQQQgghhAuSOBNCCCGEEEIIIYQQwgVJnAkhhBBCCCGEEEII4YIkzoQQQgghhBBCCCGEcEESZ0IIIYQQQgghhBBCuCCJMyGEEEIIIYQQQgghXJDEmRBCCCGEEEIIIYQQLkjiTAghhBBCCCGEEEIIFyRxJoQQQgghhBBCCCGEC5I4E0IIIYQQQgghhBDCBUmcCSGEEEIIIYQQQgjhgiTOhBBCCCGEEEIIIYRwQRJnQgghhBBCCCGEEEK4IIkzIYQQQgghhBBCCCFckMSZEEIIIYQQQgghhBAuSOJMCCGEEEIIIYQQQggXJHEmhBBCCCGEEEIIIYQLkjgTQgghhBBCCCGEEMIFSZwJIYQQQgghhBBCCOGCJM6EEEIIIYQQQgghhHBBEmdCCCGEEEIIIYQQQrggiTMhhBBCCCGEEEIIIVywdPYvIFzTdbA7wKmD2aT+aFpn/1ZntpY4AmiH/huJ6SnRdXA41R+TBmaz+l9x8iSmnmF3HBFTE5jktpE4DTkcYHeqryaLWY5Td3A41edfYuo+R8bUbD58bSVOjslkws/PDz8/v9b/tlhkinaqHA4HTU1NAFitViwWC5pMpk6Jw+GgubkZp9OJn5+fxNQNnE4nTU1NOJ1OrFYrVqtVYnqakrPyaUIHKmpgfykcKIOqOmi0ge5UF3kBVogIgaRoSImDsKDO/o1PfzpQVatiWnAopkf+rLQKVmRB9wQV0/AgSU4ejw7U1B2OaUUtNDari2izBv5WCA+GxCgV04gQienx6EBtAxSUqj/lNdDQfDjJ429Vn/eEKEiNg6hQienx6EB9ozpGC0qhrBoamlRCwqSBn0XFND4SUuMhOlQm08ejoz7rB0oPff5L1Y2dFo3NsCVX/f+UOIgNl8n08ehAs0195+8vhZIqddzaHOozbjVDaCDERaiYxkWoxI84Nh2V0DlYBvtKoLgK6hoOxRSwWiAkAGIiICVWnQP85Er4F+mA03kopqVQXKm+s2x29XOLGYIDICYckmPV97+/tTN/49Ofrus4nU527NjBpk2b+O6776irq2vz8xUrVvDGG2+QkZFB//79CQ0N7cTf+MzgdDrJzs5m06ZNZGdnU1xcTH19PbquY7VaiYyMJDU1lYyMDAYMGEB4eHhn/8qnPV3XycnJYdOmTezcuZOioiLq6upaYxoeHk5KSgoDBw5k4MCBREVFdfavfNrTdZ3c3Fw2bdrEjh07KCwspK6urjVxFhYWRnJyMgMGDCAjI4OYmJjO/pVPe7qus3fvXjZt2sSGDRsoKSlp8/OsrCxef/11hgwZwuDBg4mNjT2pcTRd1/XjP014itMJB8ph1XbYcxCqG1SCp8mmKk9amDQI8FOTvbAgSEuCEX3VBYpMotty6urCbvUOyN4P1fVQVa8mdkfH1N8PwgIhNAh6JMLIvtA1RmJ6NF1XyYc1O2H7PnWMVtWpmB45edY0leQNDVITvtR4GNVPJXwkpm3puorhmmzYlgeVteo4bWg6Kqao4zQ0UP1JjoPR/VTCV2Lalq5DXSOszYbNuSoJWV0P9U3qXNtCA/ysh2IapD7zo/qp86rEtC1dV5/z9bsgczeUtsS0USV3j+RngZBA9R3VJUadT3t3lYrJo+m6SjpsyIH1OeomTk2DSvDYXcQ0OEDFNCkazu4D/VJUTOVYbctuh417YF22SkLWNKgEj93R9nnWQ4mesGBIiIThvaF/qkoASUzbsjtUQnzNTpWErGmA2nqViDxSS/IsLEgleIf1gozu6viVmLbV3NzM999/z3vvvUd2djalpaWUlJTQ0NDAkVMyPz8/IiMjiY+Pp2fPnkydOpWpU6cSHh4u1ShHsdls/Pjjj8ybN4/t27dTVlbWJmnWwmq1EhERQUJCAqmpqVxyySVMnz6dmJgYielRbDYby5cv57333mPLli2Ulpa2xtR5xAVVS/IsPj6e5ORkLrjgAmbMmEFSUpLE9Ch2u53Vq1czb948MjMzKS0tbU1EHhlTi8XSGtOkpCQmTZrENddcQ2pqqsT0KHa7nczMTObNm8fatWspKSlpk4hsYbFYCA0NJSEhgYSEBMaPH891111HWlraicR0nSTOOlFdIyzbCj9vU9VmTfaO/11/q6o8GdsfxvRXFyxCTfBWboclm9SkudHW8b/rZ1EVUiP7woRBalIt1AXymp3w/QYorz6UgOzg37VaVCXfsF4weaiqRhMqibM+B75ZC2VVqsKswzE1q2RPRne4aDhEyk1oQCUjNuXCl6tUIqK+qeMxtZhVFUp6Klw2EqLDPPqrnlG25cOnKw7H1NnBoFrMEOQPfbrC5aMhNsKjv+YZZed++ORndYOnrrHjMTWbIdgfeibCFWNVtZRQcg7AJytUVdQJxdSkjtNuCTBjrEpOCiW3ED5bqSr3ahs6HlPToZimxsH0MaoKTeZ6SmZmJo8++ihr1qyhuLgYu71jF/4tE+nBgwcze/ZsRo4ciUnKpAHYvn07c+bM4aeffqKwsLDDMTWbzYSHhzNw4EAefvhhJkyYIMtjD9m9ezdPP/003333HQcPHqS5ublDf89kMhEWFkZ6ejoPPPAAF1xwAf7+/h7+bc8M+/bt44UXXuCTTz7hwIEDrUuIj0fTNMLCwujVqxf33HMP06ZNIyhIlp0BFBcX8/LLL/PBBx9QUFBAQ0NDh/6epmmEhITQo0cPfvvb33LttdcSFtahC39JnHUGXVfVJR8uVXfy7I6OT/CO1LLsYFgvmDYaIkMOPe6DFygtlSYfLIGNOScfU1AJtAHd4PIxEB+hHvPVmDbZ4MMlKnFmd7at2DsRVgv0TlKTva6HqmN9NaY2O/znJ1iZpWLa0cnI0axmtXzrynGqWhJ8O6afrICfthzuDXkyrGaVjLhqPPRNVo/5akztDvhyNfyQCc32k4+pxQxRISqmGT3UY74c00Xr1U2IhuZTi2lIIFw9Xn3/g+/G1OFUN8q+XaeqoU46piYI8IerxsHIfuoxX47pqu3q819ZC46TjKnZpCp7rxwLYweox3wzpjoOh4MFCxbwl7/8hd27d3c4uXM0i8VCUFAQjz32GLfffjuapvlkBUpLTL///nv+7//+j61bt55STAMDA3nooYe47777MJvNPhtTp9PJypUruf/++1m/fj022wlUHxzBbDYTGBjIfffdxx/+8Af8/f19Nqa6rrN582buvfdefv75Z2w2GyeTemmJ6a233srDDz9MWFiYz8YUICcnh7vvvpvFixefdExNJhOBgYFcf/31PPLII63LN38hrpI4M5quq3L3179U/XdO9iLvaP1T4bpzISbM9y5MdF312nr1C3Vn1F0x7d0Vrp0AXaJ9M6aVdfDG12oJsbti2j0Brj5H/a+vLd/SdbXE7e3vVMXJ0cvcTlbXGJgxTiV6fK2nlK6ryfK8/8KWvPZLsk5WXISqlBjc0zdjWteokrvrd6mkmTtEhsDUUarFgK/16dJ1Va33+UpYsV1V7bpDSABcPALOGahuTvgSXVcV5d+tU4mzuo7dvD+uACtMGQ7nD/W93me6rj7vSzcfTkS6g8UEk4fBxWf7Xu8zXddpbGzkgw8+4E9/+hMHDx48qQne0cxmM7fffjtz5swhJCTEDb/pmUPXdWw2G1988QX33Xcfe/fudUtMNU3j5ptv5rnnnvO5fnIticgff/yR2267jT179rRZ5nayNE3juuuu45VXXuloRY/XaElErlu3jhtuuIHs7Gy3xXTGjBm89tprREVF+VzyzOl0kpWVxbXXXktWVpbbYnrZZZfx6quvkpiY+IuJMx+bEnS+kip47UvY78akGUDWXnj/R5Xs8LVUaGk1/OMr2OvGpBnArgL4aKn6N/O1mJbXwlvfwp5C98Y0txDmL1MNxn0tplV18O5/YWeB+5JmoJqKf7oC8grb9vHyBTUN8PFPsDXffUkzUEvovlgNO/a599/qTFDXCJ+vUv233JU0A3Vz4+u1kLnHvf9WZ4KGZlVltnKH+5JmALWN6nVX7TjcqN1XNNlh2RZYstl9STNQybgfMlXyqPnkii3OWPZDbRm+W+++pBmoyuqlm1W1ZZMbj/8zgc1m46uvvuIvf/mL25JmoHY2/Oc//8mjjz5KdXW1W17zTOF0OlmyZAm///3v2bdvn9tiqus6c+fO5cEHH6SystItr3mm0HWd1atX89vf/tZtSbOW1/3ggw+48847qaiocMtrnkm2bNnC9ddf77akGaiYLliwgNtuu43y8nK3vOaZJDs7m6uuuort27e7Naaff/45v/3tb9ttKnA0SZwZqLJOLSU8WOb+pIGuw9Y8+GyFey/MT3fV9bBwOewr9kxMd+xTVQL1brwwP93VNqg+UbkeSsTkHFBJiep630me1TeqycjO/eDwQNIgrwi+XqP6+vlKTBua1aR5S55nkgYFpaqapajCd2LaZFNJmPW71P93t+JKWLwB9hb7TpLXZoeNu9UOzg0e+B4pr4EfM9V51VeSvHYHbM+HHzepRK+71dSrRM+2fM+cr09HTifsPngoaVbv/tevb4LlW1VC3lcS506nk8zMTB555BEKCgrcluBpUV9fzzvvvMO7775LY6MHPginIV3X2b59Ow8++CD5+flumzi3sNlsvPfee7z++uvU13vgg3Ca2rNnD3fddRe5ubluj6nD4eDDDz/k+eefb7NzrLfbt28ft912Gzk5OW6PqdPpZMGCBTzxxBPU1ta69bVPZ/v37+e2225j586dONz85dySPHvkkUeoqak55vMkcWYQu0Nd3Gbvc28Fz9FW71BLQXxhomd3qI0VtuW334nMndZmq00cfCGmDofakWzzHvdWmxwtczcs3XLyfejOJA6nSu5syPFsUntrvoqp4xR60Z0pnE61Y+6aHZ6ZOLfYuV/FtNnmAzHVIb9InVOrPThf2FMIP209tHmDl8dU16GwHJZuUhV3nrK/VMW0ygcqznVdJQsXb1TV5p5SXKm+932h4lzXVbLs27WHbhR4aJzyWli2TbUp8f6Y6lRVVTFnzhy2bdvm9qRZi5KSEt566y3WrFnjsTFOJ3V1dTzyyCNkZmZ67P1WV1fz1ltvsXTpUp+IaUNDA4888gjr1693e4KnRVNTE//617/49ttvfSamc+bMYdWqVR6LqcPhYO7cuSxcuNAnYtrY2Mhzzz3H8uXLPRZTgHfeeYf333//mDGVxJlBcgsPLX3x8J02hxP+mwmFPlARu7/U88kIUBd4/90IB8o8O87poLBSxdSdyzRcceoqkbz/lytivUJZtYqpJyfOoGL60xbIL/bsOKeD6noV05Iqz47j1NUuvXsKPTvO6aC+UcXU0+c5XYcNu2DXAe+fPDfb1O65ez38mdSBrbmw0weWFjucqiJy90HPjqMD2QXqxpy3L4PVUcfpzv2eHyuvSN2Y84WVEQsXLmTRokUeH2f79u0sWLDAJ5ZtffbZZ3z11VceHyc/P58PP/yQ4mLvv6D6+uuv+fzzzz0+TlFREe+88w4FBQUeH6uzLV68mE8++cTjCa2qqirefPNN8vLyPDrO6WDZsmUsXLjwpDes6KjGxkZee+01cnJyXP5cEmcGsDtU1VKZAW0IdKCyRpXEezOHEzbnqkmep+deOiqR9MMmDw/UyRxONfHKLTKmEqyuERZtMGCgTuR0qonCjn3GJAkamtTyQm/m1FXFwuY9nq3ebdHYpI5Tb07y6Lqq3lmbbVBMm9UyO29esqXrUFmvKvhOdlfCE9FoU9U8DV6ckGjZuOLHTcYkCJtssHonVHn5iq3GZtV/zJOV+y1ali57slrwdNDQ0MBTTz1Fc7PnP5CNjY0sWrSILVu2eHysztTQ0MAzzzxDU5N71rybTCbi4uLo379/u4bgzc3NLFu2jFWrVrllrNNVQ0MDL7zwgiFLKO12O+vXr2fx4sUeH6szNTY28o9//MOtffKsVitdu3YlNjYWk+lw6sbhcJCVlcVnn33mtrFOR01NTfz73/+msNB9d7EtFgtdu3YlNTUVPz+/1sedTid79uzhvffec/n3JHFmgKIKVR1lM2iSYHPA9n2qp5q3KqtWlTWeXE54JIcTsvLVEhFvVV2vKmuMuhOsA9vyjEkod5a6JlVZY9RkVkdVSHjzpKTJppZpurMh+C/Rge17oajSmPE6g92h3qOnK01b6Kh/w0Iv7h+n6+qzaGTSZc9Bz/RQPZ1syTP22ia/SG1m4809+bbmeb4i+kgFpWoHdG9OnH/33Xfk5+e3qzh55JFHeP311wkKCgIgNDSUhx56iD179rT7s3HjRgYPHsxf/vIXlz9ft24dqampAOzatYsNGzbQ0GDQSbwT/PDDD+zZs6ddTO+66y7efPNNoqOjAfD39+eee+5xGbMdO3bQs2dPIiMjefjhh1mxYgWLFi1i9erVbV4DVNXZmjVrvLqH1M8//8yuXbvaLX27/vrrmTt3LikpKYDaxfWWW25xGdPdu3fTp0+fdq99++238/bbbxMYGNj6WGFhIStXrqSqysPLBTrRunXr2LFjB3Z72wnqpZdeyrx580hPT299bNasWS5jumfPHgYPHozVauWKK67gm2++4eeff2bdunW89tprxMXFtb5GeXk5y5Yto6zMe5dFbdmyha1bt7a7ETFmzBg++OADRowY0frYlVdeye7du13GdPTo0WiaRlJSEm+99RYrVqxg+fLlfPjhh/Tp06c1eV5bW8vSpUtdVpz62GbbxtN1lTQrNfgcUd+kdtkb3NPYcY2g62oSe9Dgc0STTe20OaKvseMaQdehosbzS4qOZneqCfvYAcaOa4SWvjG7DV6Sputq2dbEwcaNaRRdV4nd7fswvEHe5j2QGGXsmEbQdXWzZUsexsc0F5JjjR3TKE4dNuZgaEx1VK/Dnklg9tId6tfvwvDjdMd+6JcCfl54q1nXYd0u45OtOQdgUA+wmI0d1wi6rrNw4UKXzaujo6OJj49vrRppamqiuLiYiooK3n///TaT3+bmZgoKCigtLaW0tJQPP/ywzXLMxsbG1v/WdZ1169ZRXl5Oly5dPPwOjafrOl988YXLarOIiAgSEhIwm9XBZLfb2bdvH83NzcydO7dNlYrT6aSiooJzzjmH6667jr/97W989913jB8/nsceewyz2cwNN9zQOuaWLVs4ePAgvXr1MuR9GknXdb7//nuXjdDDwsJISEjAarUCKm67d+/GYrHwxhtvsH9/23XdRUVF7V4jMjKShISENhVSuq6TnZ1NXl4egwYNcvM76ny6rh8ziRUcHExCQgL+/v6tj+3cuZPQ0FBeeeWVdsst9+/fT58+fXj++ed5//33ufHGG+nZsyfPP/88Dz/8MPfee29rcm7v3r3s3LmT0aNHe/T9dQZd11m7di0HDhxo97PAwEASExPbJGe3b99ObGwsf//739stt9yzZw8Wi4WHH36YjIwM7rvvPmpqanjwwQd59NFHufnmm6mtrUXXdQoLC8nMzOT8889v8xqSODNAcaVq2mukukbVV61vshc2YNehpBLKDK7+arQdvtjzxpiWVatj1Ug2u5qUDOtt7LhGqaozvjee3Qnb9sLI9OM/90xUU6+qFYz8DDqcqnronAwv/OyjdtLNK+ycmE4aDHhhksduP5Q0N3BMpxN27IXzh4LZGxMSTnXzytCY6qrXWV2TMUtuDaer6k+jY7rnoDqXm7wwGel0OFm2bFmHdn1rbm4mKysLTdMoKyvjgw8+aJccysrKwmKxUFRUxPz5810mj5xOJxs3bqSgoIDQ0FC3vZfTycqVKzu09NXhcLB9+3YaGhpobm7mo48+alOJFxISwjnnnMPq1at55513qK2tJScnh379+vG///u//O53v6Ourg5d19m2bRt5eXnEx8d78q11mjVr1nSoSrFlN9Py8nL8/f35z3/+02bXUZPJRN++fYmNPXwnrFu3bkRFRTF69GgyMzMpKSlB13VycnLIzs6me/fuHnlPnW3jxo1UV3ds2ceOHTs4cOAA0dHRPPvss63HHYCmaVx44YVkZWXx7LPPUlZWxt69e1m4cCF33303f/7zn6msrETXdfbt28e2bdsYMMALqxCArVu3Ulpa2qHn7ty5k9zcXFJSUnj66aepqalpU6XatWtXrrzySh577DE+/vhjQCV5n3vuObp06cLOnTsBlQzetm2bJM6M1mhTy1+M6BtzpGabqpCoqvO+iz0NleAxeumE3Q7b8+EjhzG9QIykAZW1xjeWdjjVTrPv/2jsuEYwaWqXUqNjquuQe8A7Y6qhKhQ6Y4nPvmL4z0/GLbk3ktPZOe+roOTQceqFibPQgM6JaWE5LFjufd9RoKromjzbF9il4gr49GfwwpBiNqnemEYrrYIvV6vEmZddouK0NVBxAmu0t2zZwkcffcQtt9xCSEgIX331Ffn5+a3L5zZu3MiCBQv43e9+R2hoKN988w179+5tt2QxPz+fxx57jKgo7yuNjoyMbFfl9Etyc3N5/fXXueGGG7BarSxYsIDc3FwcDgc2m43FixfT2NjYZhlmZWUlDoeD0NDQ1p5fBw4c4JlnniExMdHt76mzhYeHk5OT0+EG9iUlJTzzzDPceeed6LrOBx98QE5ODjabDavVygMPPMD06dNbj92EhASCgoJ45plneOCBB1o3yiguLubll1/myy+/9OTb6xShoaFs2rSpwzGtq6vjz3/+Mw899BCPPvooc+fOJTs7m6amJnRd59133+Xdd99t83e2b98OQJcuXVr7qJWXl/PWW2+xfPlyt76f00FQUBCrV6/u8E6adrud++67j7/+9a88/fTTvPHGG62JdIDevVWlRkuCDNT5orGxkZSUlNbHa2pq2L9/P7qut+l/KIkzD2u2dc5FiVOHg+Wqh4y3XUCbTWDthCNXB0qqoXyH902eTRr4+x3/eZ5QUQertnfO2J5kNkFMWOeMXd3onTHVNEiI7Jyxa5tgzQ5o8sId9kICj/8cT2iwwaodnTO2p3WN6ZxxG2ywLlvdtPM2nXWcNh7aHbUzknaeFhxo/I1dUOfRzN3eeT4NsFixOzp+N6C6uprXXnuN4uJiZs6cyYQJE3jnnXf4/vvvaWxspLKykpdffpmioiKuueYaJk2axNy5c1m8eHGb6rOGhgavTEYApKWlnVAD+/r6ev79739TXl7Or3/9a0aMGMH777/P119/TX19fevOnOHh4aSlpZGSksI111zDkiVL2iztbGxs5Pvvv3f7+zkdpKamUlFR0eHnNzc3s2DBAqqqqrj55psZPHgwH374IV988QX19fX88MMPJCUlMXv2bLKzs3nwwQcZMmQIv/nNb9os5Wxubuann37ip59+8sTb6lRJSUltKvGOx+Fw8PXXX1NTU8Ott97Kk08+yYIFC/jkk0+oqKggICCAcePGsWvXLvLy8ggNDeWcc87BZrO1WQ5qs9lYvXo1q1ev9sTb6lRxcXEntDupruv8+OOP3HHHHdx+++088cQTfP7558yfP5/i4mLi4+MJCgri3HPPZeXKlTQ0NDB06FAsFkub5aB2u52amhpsNlubzQMkceZhTmfnJa50vPJGPtB5zY91vO/uaAtvbijdWSSm7teZMfXWf05vfV+dqVOPU/kHdT9vjamcT91O1/UTfm/V1dXMnTuX9evX8+tf/5rnnnuOJ554grlz5wJQVVXFW2+9xbp16/j1r3/N888/z5w5c9pVo3irjix7PVp9fT0ff/wxW7ZsYdasWTz22GPExMTwj3/8o/U5qamp/M///A+XXnopNTU1zJkzx52/9mmtoxU8R2psbOSrr75i+/btXHfddfzhD38gLi6OF198ka+++ooBAwa0Li+sq6ujubmZsrIyQ3aXPR3oun5CSR5QSa8ffviBnJwcrrnmGn73u98RFxfHs88+S2hoKC+99BKZmZmsXbuWxMREJk+ezLvvvtvhpYtnOqfTecIxdTgcrFq1iry8PK688kpmzZpFfHw8Tz31FNXV1WiaxoABA3jkkUeorq5m8uTJLF68mL1797Z5HZvN1i5x5oXdBU4vmtYJTXq9ObtziOEJwUMx1TpjbIN0Vky9mdYZB4uXx7XTYop89t1KjlP3a/me8tYDtTO0HKcSU/c54nrKG2ma1uH3ZjKZSElJYejQofj5+bF582bmzJlDVlYWv//97wkPD6dbt24MHjwYPz8/MjMzmT17Njt37uS+++7z2n5mRzOdQDM8TdNITExkxIgRBAQEsH37dp566ik2bNjAAw88QHh4OMHBwYSHh7N//37+9a9/8dBDD9HY2Oi1vcxc0U7wiyImJoaxY8cSFBTE7t27eeGFF1i5ciX33HMPkZGRVFZW8tFHH5GcnMzEiROxWHyvNkfTtBOKa0REBBMnTiQkJIS9e/fy6quv8uOPP3LLLbcQFxeHw+GgsrKSpqYm+vTpQ2RkJC+++CLPPfdcu107vdWJxjQ0NJTJkycTFhZGYWEhb731Ft988w0zZ86ka9eu7Nq1i9raWubPn09DQwNxcXHMnz+fxx9/vN0OumazuXXTkRa+d1QbzM8KAZ2wBE7T1LKG0EDjeyx5mklT5f2GL0XRIMgfIkK8bxt1TVPVkQ1G3xTS1OcjItjgcQ1gMkFwgNoB1mj+fhAZYvy4nqZp6vN3sPz4z3U3fyvER0CzF16r+FnUBgFGs1ohKtQ7J9BRYWpHbaNZrRAX4Z3HaYBfJx2nFogL974WDaBiWt9ofA7bYoGYcO+7PgUw42yTvI6MjGTq1KlkZGQwbty4Nr26dF2nb9++XHfddcyePZvdu3dTUVHBihUrGDduHDExMfTr14/LL7+cxx57jLy8PCoqKli5ciUjRowgOjq6dVdEq9VKly5d2uza5y1SUlIoKipqXZoaHBzM1KlTOeussxg1alS7nSGTk5N58MEH+dOf/sS2bduoqqpi1apVTJ06lcTERPr06cPEiRN57LHHWL16NevXr2fmzJlcccUVfPPNN62vY7Va2+3a5y2SkpKoq6trXQLr7+/PJZdcwpgxYxg8eHC7ZGVUVBR//vOf+cMf/sCGDRuorq5m7dq1XHfddcTFxVFeXs62bdtYvHgxF198McHBri/sLRYL8fHxhIR430VqXFwcu3fvbu09Zjabueiii5g4cSJ9+/ZtF5PAwEDmzJnD/fffz4oVK6itrWXDhg3ccMMNJCQkkJOTQ05ODitXruTTTz8FoKKiot0GIWazmdjYWMLDw414m4aKioqisLCwTYXdBRdcwPnnn09qamq748hsNvP0009z77338uOPP1JfX8+mTZu4+eabSUhIYOPGjTQ2NtLY2MjTTz+Nn58fgYGBdO/enb1792KzqeSCyWQiODi4TbUZSOLM4wKsndCXQ1MXesP7wMXDvfCmvg4rt6sGyIa9N031rBrYHa4c54UxBbbmwdxFxsZU09TOr7MmGTWosfKK1E6shi6d0qBHAtx8oYFjGqikCnbsMz6mXWLg9ku987NfXQ+PvWdwr6ND/erunoZXZs5sdtiaa3xMY8Ph9qnq+8rbOJ3wh7cNTrZoEB0Gt17SOTdBPU3X4eG5Bt+I1FTC/KYLINwLb5o57Bbe+KOFukMb6zkcDpxOJxkZGfTs2bNNDy1d16mvr6dXr14MGDCAPXv2YLVamTx5MtXV1Rw4cIDU1FT69u1Leno6+fn5bX5+5GslJSUxd+5c+vbta/RbNsSECRPYsUM1xdR1HbvdTp8+fejXrx8bN25sfV5LTLt06cLw4cNbdyU999xzqaurY+/evcTHxzNmzBgGDhzIkiVLiIqKok+fPuTn57cZMy4ujr///e+MHDnS0PdqlOnTp7NixQpAxc1ms9G9e3cyMjLIzs5u89z6+noiIyM555xzyMzMxGQyMX78eJqamigoKABU/7Ivv/ySESNGcNFFF7VpwN4iKiqKxx9/nAsuuMDzb7AT/O///i+ff/45oGLa1NREly5dGDZsWGucWtTV1REYGMiUKVNYtWoVJpOJkSNHtu6U6XA4KCoqIjo6us1n/WhhYWE8+OCDXHvttR59b53loYce4u23325dstnY2EhsbCyjRo1qTVK2aEkET506laVLl6JpGsOGDcNqtbJ//34aGxtZsGABV155Jd988w1lZWXcfffdjBkzho0bN7YmzoKDg0lISGiXQJbEmYdpmrqrFhJo7J3S4AA1eQ4NMm5Mo+g6xEVCeIjaCdIogf7QK8l7YxoTrqokyjq2i7Jb+FuhT1cI89KYRoVCbITalc0oVjP0S/HemNrskBAFB8uO/3x3MZsgPdl7P/tmEyTFwP4S48Y1myA9RcXUG5cW2uyQHAf5Rcd/rruYTND30PnUGxNnug6p8bDnoHFjmjT1vR8erL6vvI2uQ2oC7Nxn3JgmDbrHq6roztrwwZN03cJZZw3jq68KcTqdVFdXM2/ePBYsWMCLL75ITEzbnUN27NjB6tWr+dvf/sZNN91Eeno68fHx3HHHHTQ0NLB161Y2btzISy+9xNatWxk4cCAxMTH87ne/o7GxEVDVEYMHD6Z79+5eudxQ13WGDh1KTk4Odrud+vp65s+fzxdffMEjjzxC//792zx/7969fP311zzyyCNcddVVdO/eneTkZO6//37q6+vJzs4mKyuLf/7zn+zcuZP09HRCQ0N55ZVXWl/DZDKRnp5O7969vTamgwcPZsOGDTQ2NtLc3MwXX3zBokWLuPPOO5k0qe0d7bKyMt5//33uvfdeLrzwQhISEujevTt/+ctf2u1O+tZbbzFixIh2SQdN00hLS2s9xr2NrusMHDiQH374gdraWpxOJ99//z1Lly5l1qxZ7RJb9fX1vPrqq8yePZtx48YRFhZG7969efrpp6msrMRkMlFSUsI999zDr3/969a/9+mnn/J///d/2O12NE0jJSWFQYMGeW1M09PTiYiIaN3MYunSpaxYsYKLL76Ye+65p00PNLvdzlNPPcULL7zQ2vQ/PT2d1157jcLCQmw2Gy+88AKffvopn3/+Oc3NzQwdOpQnn3yyTSVfQkJCu/MKSOLM4zQNukRDbJixibNAP+jmfZ8fQMU0LhwSI41NnFnNkNbFuPGMpGnqIjYlFsqrjauq0VAVZ96oZbl0zwQoqTAupjrQP9WgwQymaerc1rcrFJYbV3Wm66ra1Btpmjq3DUiFglLjYurUYUA3Y8bqDCYTDOoB+4qNqzrTdUhP9c5EZIuhaZBXaGxMe3cFi/n4zz0TaRoMS4Nd+42NaY9E70xEgkoOTJ06lUWLFrVOxJxOJ3V1dbz11lv07t27taoBoLS0lMcff5zVq1czevRotm/fzldffdW662BxcTGPPvooK1asYNSoUWzfvp0vv/yS5cuXt75GS2IpMrKTtp32ME3TuPDCC/n8889bkzROp5OGhgY+/PBDBg4cSEPD4UlWdXU1L7zwAps3b2b8+PFs27aNb7/9lh9++AGAgwcP8oc//IGLLrqIXr16MW/ePBYtWkR5+eE+EC0T9oSEBGPfrEE0TePcc8/l448/bk3A6rpOY2MjX375JQcPHqSqqqr1+Q0NDbzxxhvs3LmTiRMnsmXLFr7//nsWL17crnl7ZmYmzz77LD169GjXi6tnz56kpnrnRaqmaYwZM4Z58+a1HqctVWc//PADDQ0NlJQcvkNpt9uZN28eeXl5TJo0iYCAAGbPns2iRYtazxFPPvkkTz755DHH1HWdLl260Lt3b8++uU6iaRpDhw4lKSmpNXGm6zrNzc2sXr2af/zjH212w9R1nfnz53PgwAHOP/98QkND+dvf/sY333zTuuPp3r17ueyyy5g6dSq9evXinXfe4dNPP22TOIuJiSEjI6P976Of6FYF4oQ12eD9H2D1TmOWGFhMcHYfuGGKV66AAVT/ls9WwA+bjOk3ZtIgowfcdqn3xtTmgMUb4ItVxvRyaUma3XOF98bU7oCVWfDhUmN6DmmoCcmDV3nv5NnphE174K3v1LnVCKlx8MdrvLOKB9SEeVcBvPw5NBrU57BrDDx4tZo8e+Ohquuqx9mzH0O9QTFNioJ7r4CwYO+NaUkVPPEB1DUd//nuEB+hlr7GR3pnTAEq6+DRd6G20ZjxYsLgfy6C7gneG9PS0lIGDhxIUVHRCe8IdzK6dOnCP//5Ty644IITbvp+pigrK2P48OHk5eUZEtO4uDief/55Zs6c6bUxraioYMKECWzZssWQmEZGRvLoo49y++23e21Mq6qquPTSS/n5559PaufSExUSEsJ9993HX/7yF6+NaU1NDbNmzeKrr74yZFOEgIAA/ud//ocXX3zx6Jiu89JpwOnF3wqDe6qm1kYIDoRxA733ggRUM+v+qaqfixEC/OC8Id4dU6sZendRvZyM4GeBKWd5d0wtZjU56JFozHhWC1ww3JixOovJpJIuRlUqWs1w/jCVPPdWpkP9xjK6G5NwtZjh3MEqtt4aVu1Qb6xhvY2L6dgBqqWAN8c0MgRG9jMmpmYTnN1XLdP01pgChAXCuAHGxXRwT7VqwJtjGh0dza233npCu0GeLIvFwnnnnUdGRobXTpzhcEyP3uXOE8xmM6NGjWL06NFeHdPIyEhuvvlmQzaUMJlMDBo0iMmTJ3t1TMPDw7n++usN2fxA0zR69erF5Zdf7tUxDQ0N5aqrriIqKsqQ8bp06cKsWbNcxlQSZwbpmwL9kj1f7m/SYERf1d/M2/VMVMkzI8r9z+4DaUmeH6ezJceqyXOQAZsyndVbLbnzdvGRaqIQakAvl8E9VS8ubxcZqpZsGXEzYmB37136eqSQQBjeG6JDPT9Wv2S1TNObk5GgNgca2VftculpPRPVsWr10iWFLSxmGJ0OiQZcP6fEqe/DAC9dUthC02BMf0g24KZZQpRawhwc4PmxOttNN93E0KFDPT6h7datG9OmTSMx0aA7dJ3ohhtu4Oyzz/Z4TBMSErjiiiu8dknhkWbOnMmoUaM8HtOIiAiuvPJKevXq5dFxTgdXXHEF48aN83jiPCgoiKuvvpoBAwZ4dJzTwcUXX8zEiROxWj37hWy1Wrn22msZMmSIy59L4swggX6qaiEhynOTBU1TFUPnD1VVGd7O3w8mZqhkj6eWUGmaSphdONx7l2kdyc+qJiU9E9WSX0/QUIndC4f7xnFqtageMv1SPDep1VDLCS84S43nxTeeADV5HtBNTcD8PNSpU0P1p5w8VJ2/vT2mZhP06qJ2Y/bk7oEJkTBxsGpg7+0xNZlU8mVsf1UJ5ikxYXDOQPW/3h5TTVPXUZMGezb5EhEMY9IhKdo3YhoTpr4/QgI9VwkWGqgSyd0TfCGmGomJifzlL38hLi7OYxPo8PBwrrrqKs4991xDqts6W2xsLI8//rjL3e7cJTg4mGnTpnHppZf6REyjo6P561//SlJSksfer7+/P5dccglXX321IRWDnS0yMpI5c+aQnJzssZhaLBYuuOACbrzxRp+IaXh4OA8//DA9evTw2Ps1mUxMmjSJ22+/HYvF9eTC+88Ip5GESJg5AYIC3H/RoGmQEAHXTPDO3fSOJTYCrhx3qKeLB2IaFw5XjVPLQ3xFVChMHaV22XR7TFEX6NNGq2W23n7x3CI8WCUKk2LcnyzUUP9ml5ytehz5SkxDA+G8wWoZrCeS2uHBMGWYSkj6wLUzoCpNxw9QFWGeuC4JDYQJGeoGjy/ciABVET2ir6qQ9ETFebC/utkxoJv3NrA/mtUMQ3qq9231QOI8wE9VX57V23OJ+dONyQT9u8G5g8ATN/T9LKp6b0y6924KcDSTycSECRP44x//SFBQkNsregICAjjvvPO4/fbbCQsLc+trn85GjRrFnDlzCA4OdntMrVYrY8aM4Q9/+AMRERFufe3T2bBhw3j++ecJDQ11e6LHYrFw1llnMXv2bKKjo9362qezjIwMXnnlFcLCwtweU7PZTEZGBk8//TSxsbFufe3TWXp6Oq+++qrHYpqens6LL774i7uT+sil6+lB01Qlzy0XqwmKuyrPNE0lIX59PiT6zjkJUO+9WzzccpG6++y2mKKWLF07EVK8dHfSY9E0SI6Dmy5QyQN3xjQiBK4YpypbfCXBA+q9JkXD9eepvkfurDoNC4KLR0B6N99J8ICKaXykulmQGO3eRExIIJw3FIb28p1kBBzuyzV9rKoKdWdMg/xVH6XR6b6TjAAV04hguPhsteOlO4+nAKuqEDx3sGerBE83LTsWTx4Kw3q5t5LXzwKDusOFZxvTsuB00bJj8TkZqkLSnZ9Ri1lVXE8fo/7dfIWmaQQFBTFr1izuvfdetybPLBYLo0eP5u9//7vX7vroiqZp+Pn5ceWVV/Loo48SEhLitpiazWaGDRvGW2+9RZcuXdzymmcKs9nMpZde6vbkmdlsZuDAgbz33nukpKS45TXPFJqmMXnyZN544w23JnpMJhP9+vXjww8/pHt3L93u/RhMJhPjx4/nvffeIzw83G2VZyaTid69e/Pee++Rlpb2i8+VXTU7gVOH/CKYuwiKKk9tp02zBqkJcO0EtSREw7cSEi10HQ6UwZvfQmE52E8hpiZNNR+fMR76HErw+GpMS6rgH1/BwbJTj2l8JFw+Rt11NvlwTMtr4PWvYX8x2E4lpkBUGFw6Ckb0VkkzX41pZa367OcWntqOsBoqWXzBcLX0zezDMa2qg3cWQ/Y+aD7FmAYHqETk+cPUEnBfjWlNPby/BLblQeMp7AiroRJl5wyCS0cc2mTBR2Na1wgLlsP6XdBwCruXaqhk0egBMGOsb8e0vgm+WgMrt0HtKexeqqGSZmf3Vdeofj7QRsAVXdepqanhhRde4JVXXqGkpOSUdjD09/fniiuu4PXXX/dI1dWZQNd16uvreeutt3jqqacoLCw8pR0M/fz8uOSSS3j77bcJCwvz2Zg2NTXx8ccf8/DDD1NQUIDDcfJf/n5+fkyZMoU333yT2NhYn42pzWbjm2++4d5772Xv3r2ntCuk1Wpl4sSJvPHGG6SkpPhsTB0OB8uWLePWW29lz549pxRTi8XCmDFjePXVV+nbty+apv1SXNdJ4qyT6DqUVsGXq2Frvrr4O5EEmklTlSYDuqklYEY0Hz7dtUz2vloDG3ermNpP4JyvaWp3qd5d4ZIRqkLI1+k61DeqmK7JVv//RBITGhAapKoCLxsJqT5WveeKrkOTDb5ZCyu2q+PUdoLn/NBA1X9r6mjf2LSiI2x2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id=\"3e139de6032\"><rect x=\"7.2\" y=\"7.2\" width=\"884.93\" height=\"762.52\"/></clipPath></defs></svg>"
|
|
],
|
|
"text/plain": [
|
|
"<Figure size 1596.2x1375.4 with 1 Axes>"
|
|
]
|
|
},
|
|
"execution_count": 7,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"from qiskit.visualization import plot_circuit_layout\n",
|
|
"\n",
|
|
"plot_circuit_layout(qc_t_cm_lv1, backend, view=\"physical\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "db62df0f",
|
|
"metadata": {},
|
|
"source": [
|
|
"Now the layout is in a ring. Because this layout respects the circuit's connectivity, there are no SWAP gates, providing a much better circuit for execution."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "f62e0541",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Basis gates\n",
|
|
"\n",
|
|
"Every quantum computer supports a limited instruction set, called its _basis gates_. Every gate in the circuit must be translated to the elements of this set. This set should consist of single- and two-qubit gates that provide a universal gates set, meaning that any quantum operation can be decomposed into those gates. This is done by the [BasisTranslator](../api/qiskit/qiskit.transpiler.passes.BasisTranslator), and the basis gates can be specified as a keyword argument to the transpiler to provide this information."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 8,
|
|
"id": "4445ff03",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"['id', 'if_else', 'sx', 'delay', 'x', 'switch_case', 'ecr', 'rz', 'reset', 'for_loop', 'measure']\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"basis_gates = list(target.operation_names)\n",
|
|
"print(basis_gates)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "6e9aed06",
|
|
"metadata": {},
|
|
"source": [
|
|
"The default single-qubit gates on _ibm_sherbrooke_ are `rz`, `x`, and `sx`, and the default two-qubit gate is `ecr` (echoed cross-resonance). CX gates are constructed from `ecr` gates, so on some QPUs `ecr` is specified as the two-qubit basis gate, while on others `cx` is the default. The `ecr` gate is the _entangling_ part of the `cx` gate. To use a gate that is not in the basis gate set, follow instructions in the Qiskit SDK API documentation for custom gates using [pulse gates](/api/qiskit/qiskit.transpiler.passes.PulseGates#pulsegates). In addition to the control gates, there are also `delay` and `measurement` instructions.\n",
|
|
"\n",
|
|
"<Admonition type=\"note\">\n",
|
|
" QPUs have default basis gates, but you can choose whatever gates you want, as long as you provide the instruction or add pulse gates (see [Create transpiler passes.](custom-transpiler-pass)) The default basis gates are those that calibrations have been done for on the QPU, so no further instruction/pulse gates need to be provided. For example, on some QPUs `cx` is the default two-qubit gate and `ecr` on others. See the [Native gates and operations](./native-gates) topic for more details.\n",
|
|
"</Admonition>"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 9,
|
|
"id": "313e4743",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/svg+xml": [
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|
|
],
|
|
"text/plain": [
|
|
"<Figure size 4324.19x1036.78 with 1 Axes>"
|
|
]
|
|
},
|
|
"execution_count": 9,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"pass_manager = generate_preset_pass_manager(\n",
|
|
" optimization_level=1,\n",
|
|
" coupling_map=coupling_map,\n",
|
|
" basis_gates=basis_gates,\n",
|
|
" seed_transpiler=12345,\n",
|
|
")\n",
|
|
"qc_t_cm_bg = pass_manager.run(qc)\n",
|
|
"qc_t_cm_bg.draw(\"mpl\", idle_wires=False, fold=-1)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "b0195ba6",
|
|
"metadata": {},
|
|
"source": [
|
|
"Note that the `CXGate`s have been decomposed to `ecr` gates and single-qubit basis gates."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "eb3f5aff-3ca2-4688-a59e-da05c724ef09",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Device error rates\n",
|
|
"\n",
|
|
"The `Target` class can contain information about the error rates for operations on the device.\n",
|
|
"For example, the following code retrieves the properties for the echoed cross-resonance (ECR) gate between qubit 1 and 0 (note that the ECR gate is directional):"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 10,
|
|
"id": "38aa1eca-a6aa-4db9-af36-66289e2059d2",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"InstructionProperties(duration=5.333333333333332e-07, error=0.005822316907363928, calibration=PulseQobj)"
|
|
]
|
|
},
|
|
"execution_count": 10,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"target[\"ecr\"][(1, 0)]"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "90cca3a8-ca25-4795-a22f-57ba6d8cfcaa",
|
|
"metadata": {},
|
|
"source": [
|
|
"The output displays the duration of the gate (in seconds) and its error rate. To reveal error information to the transpiler, build a target model with the `basis_gates` and `coupling_map` from above and populate it with error values from the backend `FakeSherbrooke`."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
|
|
"id": "e92c39d7-4aab-4657-aa9a-1b8b5788cb58",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"from qiskit.transpiler import Target\n",
|
|
"from qiskit.circuit.controlflow import IfElseOp, SwitchCaseOp, ForLoopOp\n",
|
|
"\n",
|
|
"err_targ = Target.from_configuration(\n",
|
|
" basis_gates=basis_gates,\n",
|
|
" coupling_map=coupling_map,\n",
|
|
" num_qubits=target.num_qubits,\n",
|
|
" custom_name_mapping={\n",
|
|
" \"if_else\": IfElseOp,\n",
|
|
" \"switch_case\": SwitchCaseOp,\n",
|
|
" \"for_loop\": ForLoopOp,\n",
|
|
" },\n",
|
|
")\n",
|
|
"\n",
|
|
"for i, (op, qargs) in enumerate(target.instructions):\n",
|
|
" if op.name in basis_gates:\n",
|
|
" err_targ[op.name][qargs] = target.instruction_properties(i)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "433f2772-b397-42ab-b3a5-a44a85192f3c",
|
|
"metadata": {},
|
|
"source": [
|
|
"Transpile with our new target `err_targ` as the target:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 12,
|
|
"id": "f1e270c4-e2cc-487e-a050-4180bc321b0b",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
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|
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],
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"text/plain": [
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"<Figure size 4222.55x1036.78 with 1 Axes>"
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]
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},
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"execution_count": 12,
|
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"pass_manager = generate_preset_pass_manager(\n",
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" optimization_level=1, target=err_targ, seed_transpiler=12345\n",
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")\n",
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"qc_t_cm_bg_et = pass_manager.run(qc)\n",
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"qc_t_cm_bg_et.draw(\"mpl\", idle_wires=False, fold=-1)"
|
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]
|
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},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "f8b516be-805d-4d0b-92f9-44d3fbe3b51f",
|
|
"metadata": {},
|
|
"source": [
|
|
"Because the target includes error information, the `VF2PostLayout` pass tries to find the optimal qubits to use, resulting in the same circuit that was originally found with the same physical qubits."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "e815a158-c77a-4e82-bebe-1710d0ae4f1f",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Next steps\n",
|
|
"\n",
|
|
"<Admonition type=\"tip\" title=\"Recommendations\">\n",
|
|
" - Understand [Transpilation default settings and configuration options.](defaults-and-configuration-options)\n",
|
|
" - Review the [Commonly used parameters for transpilation](common-parameters) topic.\n",
|
|
" - Try the [Submit transpiled circuits](https://learning.quantum.ibm.com/tutorial/submit-transpiled-circuits) tutorial.\n",
|
|
" - See the [Transpile API documentation.](/api/qiskit/transpiler)\n",
|
|
"</Admonition>"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {
|
|
"description": "Learn about coupling maps, basis gates, and processor errors for transpiling",
|
|
"kernelspec": {
|
|
"display_name": "Python 3",
|
|
"language": "python",
|
|
"name": "python3"
|
|
},
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|
"language_info": {
|
|
"codemirror_mode": {
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|
"name": "ipython",
|
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"version": 3
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},
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"file_extension": ".py",
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|
"mimetype": "text/x-python",
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"name": "python",
|
|
"nbconvert_exporter": "python",
|
|
"pygments_lexer": "ipython3",
|
|
"version": "3"
|
|
},
|
|
"title": "Represent quantum computers"
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 5
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}
|