279 lines
93 KiB
Plaintext
279 lines
93 KiB
Plaintext
{
|
|
"cells": [
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "e6d26387-f218-4f62-80c4-792103129b99",
|
|
"metadata": {},
|
|
"source": [
|
|
"# Efficient simulation of stabilizer circuits with Qiskit Aer primitives"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "f1bcbbdb-965d-41f0-88dd-bb42834b35b9",
|
|
"metadata": {
|
|
"tags": [
|
|
"version-info"
|
|
]
|
|
},
|
|
"source": [
|
|
"<details>\n",
|
|
"<summary><b>Package versions</b></summary>\n",
|
|
"\n",
|
|
"The code on this page was developed using the following requirements.\n",
|
|
"We recommend using these versions or newer.\n",
|
|
"\n",
|
|
"```\n",
|
|
"qiskit[all]~=1.2.4\n",
|
|
"qiskit-aer~=0.15.1\n",
|
|
"qiskit-ibm-runtime~=0.31.0\n",
|
|
"qiskit-serverless~=0.17.1\n",
|
|
"qiskit-ibm-catalog~=0.1\n",
|
|
"```\n",
|
|
"</details>"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "386709ed-183b-4759-bb1b-56cdedf80539",
|
|
"metadata": {},
|
|
"source": [
|
|
"This page shows how to use Qiskit Aer primitives to efficiently simulate stabilizer circuits, including those subject to Pauli noise.\n",
|
|
"\n",
|
|
"Stabilizer circuits, also known as Clifford circuits, are an important restricted class of quantum circuits that can be efficiently simulated classically. There are several equivalent ways to define stabilizer circuits. One definition is that a stabilizer circuit is a quantum circuit that consists solely of the following gates:\n",
|
|
"\n",
|
|
"- [CX](../api/qiskit/qiskit.circuit.library.CXGate)\n",
|
|
"- [Hadamard](../api/qiskit/qiskit.circuit.library.HGate)\n",
|
|
"- [S](../api/qiskit/qiskit.circuit.library.SGate)\n",
|
|
"- [Measurement](../api/qiskit/circuit#qiskit.circuit.Measure)\n",
|
|
"\n",
|
|
"Note that using Hadamard and S, we can construct any Pauli rotation gate ([$R_x$](/api/qiskit/qiskit.circuit.library.RXGate), [$R_y$](/api/qiskit/qiskit.circuit.library.RYGate), and [$R_z$](/api/qiskit/qiskit.circuit.library.RZGate)) that has an angle contained in the set $\\{0, \\frac{\\pi}{2}, \\pi, \\frac{3\\pi}{2}\\}$ (up to global phase), so we can include these gates in the definition as well.\n",
|
|
"\n",
|
|
"Stabilizer circuits are important to the study of quantum error correction. Their classical simulability also makes them useful for verifying the output of quantum computers. For example, suppose you want to execute a quantum circuit that uses 100 qubits on a quantum computer. How do you know that the quantum computer is behaving correctly? A quantum circuit on 100 qubits is beyond the reach of brute-force classical simulation. By modifying your circuit so that it becomes a stabilizer circuit, you can run circuits on the quantum computer that have a similar structure to your desired circuit, but which you can simulate on a classical computer. By checking the output of the quantum computer on the stabilizer circuits, you can gain confidence that it is behaving correctly on the non-stabilizer circuits as well. See [*Evidence for the utility of quantum computing before fault tolerance*](https://www.nature.com/articles/s41586-023-06096-3) for an example of this idea in practice.\n",
|
|
"\n",
|
|
"\n",
|
|
"[Exact and noisy simulation with Qiskit Aer primitives](simulate-with-qiskit-aer) shows how to use [Qiskit Aer](https://qiskit.org/ecosystem/aer/) to perform exact and noisy simulations of generic quantum circuits. Consider the example circuit used in that article, an 8-qubit circuit built using [EfficientSU2](../api/qiskit/qiskit.circuit.library.EfficientSU2):"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 1,
|
|
"id": "2d26ac3e-2a6a-4d73-900f-470200a63154",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/svg+xml": [
|
|
"<?xml version=\"1.0\" encoding=\"UTF-8\"?><!DOCTYPE svg PUBLIC '-//W3C//DTD SVG 1.1//EN' 'http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd'><svg width=\"961.81pt\" height=\"403.77pt\" version=\"1.1\" viewBox=\"0 0 961.81 403.77\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><defs><style type=\"text/css\">*{stroke-linejoin: round; stroke-linecap: butt}</style></defs><path d=\"m0 403.77h961.81v-403.77h-961.81z\" fill=\"#ffffff\"/><path d=\"m64.609 44.283h885.36\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#000000\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m64.609 90.637h885.36\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#000000\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m64.609 136.99h885.36\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#000000\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m64.609 183.35h885.36\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#000000\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m64.609 229.7h885.36\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#000000\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m64.609 276.05h885.36\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#000000\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m64.609 322.41h885.36\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#000000\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m64.609 368.76h885.36\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#000000\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m59.974 21.106h-1158.8v417.19h1158.8z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#ffffff\" stroke=\"#ffffff\" stroke-width=\"1.5\"/><path d=\"m182.35 368.76v-46.354\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#002d9c\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m228.7 322.41v-46.354\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#002d9c\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m275.06 276.05v-46.354\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#002d9c\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m321.41 229.7v-46.354\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#002d9c\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m367.76 183.35v-46.354\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#002d9c\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m367.76 368.76v-46.354\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#002d9c\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m414.12 136.99v-46.354\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#002d9c\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m414.12 322.41v-46.354\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#002d9c\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m460.47 90.637v-46.354\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#002d9c\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m460.47 276.05v-46.354\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#002d9c\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m506.83 229.7v-46.354\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#002d9c\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m553.18 183.35v-46.354\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#002d9c\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m553.18 368.76v-46.354\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#002d9c\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m599.53 136.99v-46.354\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#002d9c\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m599.53 322.41v-46.354\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#002d9c\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m645.89 90.637v-46.354\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#002d9c\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m645.89 276.05v-46.354\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#002d9c\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m692.24 229.7v-46.354\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#002d9c\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m738.6 183.35v-46.354\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#002d9c\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m784.95 136.99v-46.354\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#002d9c\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m831.3 90.637v-46.354\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#002d9c\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m74.575 59.348h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#9f1853\" stroke=\"#9f1853\" stroke-width=\"1.5\"/><path d=\"m74.575 105.7h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#9f1853\" stroke=\"#9f1853\" stroke-width=\"1.5\"/><path d=\"m74.575 152.06h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#9f1853\" stroke=\"#9f1853\" stroke-width=\"1.5\"/><path d=\"m74.575 198.41h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#9f1853\" stroke=\"#9f1853\" stroke-width=\"1.5\"/><path d=\"m74.575 244.76h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#9f1853\" stroke=\"#9f1853\" stroke-width=\"1.5\"/><path d=\"m74.575 291.12h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#9f1853\" stroke=\"#9f1853\" stroke-width=\"1.5\"/><path d=\"m74.575 337.47h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#9f1853\" stroke=\"#9f1853\" stroke-width=\"1.5\"/><path d=\"m74.575 383.83h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#9f1853\" stroke=\"#9f1853\" stroke-width=\"1.5\"/><path d=\"m120.93 59.348h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#33b1ff\" stroke=\"#33b1ff\" stroke-width=\"1.5\"/><path d=\"m120.93 105.7h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#33b1ff\" stroke=\"#33b1ff\" stroke-width=\"1.5\"/><path d=\"m120.93 152.06h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#33b1ff\" stroke=\"#33b1ff\" stroke-width=\"1.5\"/><path d=\"m120.93 198.41h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#33b1ff\" stroke=\"#33b1ff\" stroke-width=\"1.5\"/><path d=\"m120.93 244.76h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#33b1ff\" stroke=\"#33b1ff\" stroke-width=\"1.5\"/><path d=\"m120.93 291.12h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#33b1ff\" stroke=\"#33b1ff\" stroke-width=\"1.5\"/><path d=\"m120.93 337.47h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#33b1ff\" stroke=\"#33b1ff\" stroke-width=\"1.5\"/><path d=\"m120.93 383.83h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#33b1ff\" stroke=\"#33b1ff\" stroke-width=\"1.5\"/><path d=\"m182.35 326.93c1.1986 0 2.3482-0.4762 3.1958-1.3237 0.84753-0.84753 1.3237-1.9972 1.3237-3.1958 0-1.1986-0.4762-2.3482-1.3237-3.1958-0.84753-0.84753-1.9972-1.3237-3.1958-1.3237s-2.3482 0.4762-3.1958 1.3237c-0.84753 0.84753-1.3237 1.9972-1.3237 3.1958 0 1.1986 0.4762 2.3482 1.3237 3.1958 0.84753 0.84753 1.9972 1.3237 3.1958 1.3237z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"1.5\"/><path d=\"m182.35 379.31c2.7967 0 5.4792-1.1111 7.4568-3.0887 1.9776-1.9776 3.0887-4.6601 3.0887-7.4568 0-2.7967-1.1111-5.4792-3.0887-7.4568-1.9776-1.9776-4.6601-3.0887-7.4568-3.0887-2.7967 0-5.4792 1.1111-7.4568 3.0887-1.9776 1.9776-3.0887 4.6601-3.0887 7.4568 0 2.7967 1.1111 5.4792 3.0887 7.4568 1.9776 1.9776 4.6601 3.0887 7.4568 3.0887z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"2\"/><path d=\"m228.7 280.57c1.1986 0 2.3482-0.4762 3.1958-1.3237s1.3237-1.9972 1.3237-3.1958c0-1.1986-0.4762-2.3482-1.3237-3.1958-0.84753-0.84753-1.9972-1.3237-3.1958-1.3237-1.1986 0-2.3482 0.4762-3.1958 1.3237-0.84753 0.84753-1.3237 1.9972-1.3237 3.1958 0 1.1986 0.4762 2.3482 1.3237 3.1958 0.84753 0.84753 1.9972 1.3237 3.1958 1.3237z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"1.5\"/><path d=\"m228.7 332.95c2.7967 0 5.4792-1.1111 7.4568-3.0887 1.9776-1.9776 3.0887-4.6601 3.0887-7.4568 0-2.7967-1.1111-5.4792-3.0887-7.4568-1.9776-1.9776-4.6601-3.0887-7.4568-3.0887-2.7967 0-5.4792 1.1111-7.4568 3.0887-1.9776 1.9776-3.0887 4.6601-3.0887 7.4568 0 2.7967 1.1111 5.4792 3.0887 7.4568 1.9776 1.9776 4.6601 3.0887 7.4568 3.0887z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"2\"/><path d=\"m213.64 383.83h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#9f1853\" stroke=\"#9f1853\" stroke-width=\"1.5\"/><path d=\"m275.06 234.22c1.1986 0 2.3482-0.4762 3.1958-1.3237 0.84753-0.84753 1.3237-1.9972 1.3237-3.1958s-0.4762-2.3482-1.3237-3.1958c-0.84753-0.84753-1.9972-1.3237-3.1958-1.3237-1.1986 0-2.3482 0.4762-3.1958 1.3237-0.84753 0.84753-1.3237 1.9972-1.3237 3.1958s0.4762 2.3482 1.3237 3.1958c0.84753 0.84753 1.9972 1.3237 3.1958 1.3237z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"1.5\"/><path d=\"m275.06 286.6c2.7967 0 5.4792-1.1111 7.4568-3.0887 1.9776-1.9776 3.0887-4.6601 3.0887-7.4568 0-2.7967-1.1111-5.4792-3.0887-7.4568-1.9776-1.9776-4.6601-3.0887-7.4568-3.0887-2.7967 0-5.4792 1.1111-7.4568 3.0887-1.9776 1.9776-3.0887 4.6601-3.0887 7.4568 0 2.7967 1.1111 5.4792 3.0887 7.4568 1.9776 1.9776 4.6601 3.0887 7.4568 3.0887z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"2\"/><path d=\"m259.99 337.47h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#9f1853\" stroke=\"#9f1853\" stroke-width=\"1.5\"/><path d=\"m259.99 383.83h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#33b1ff\" stroke=\"#33b1ff\" stroke-width=\"1.5\"/><path d=\"m321.41 187.86c1.1986 0 2.3482-0.4762 3.1958-1.3237 0.84753-0.84753 1.3237-1.9972 1.3237-3.1958 0-1.1986-0.4762-2.3482-1.3237-3.1958-0.84753-0.84753-1.9972-1.3237-3.1958-1.3237s-2.3482 0.4762-3.1958 1.3237c-0.84753 0.84753-1.3237 1.9972-1.3237 3.1958 0 1.1986 0.4762 2.3482 1.3237 3.1958 0.84753 0.84753 1.9972 1.3237 3.1958 1.3237z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"1.5\"/><path d=\"m321.41 240.24c2.7967 0 5.4792-1.1111 7.4568-3.0887 1.9776-1.9776 3.0887-4.6601 3.0887-7.4568 0-2.7967-1.1111-5.4792-3.0887-7.4568-1.9776-1.9776-4.6601-3.0887-7.4568-3.0887-2.7967 0-5.4792 1.1111-7.4568 3.0887-1.9776 1.9776-3.0887 4.6601-3.0887 7.4568 0 2.7967 1.1111 5.4792 3.0887 7.4568 1.9776 1.9776 4.6601 3.0887 7.4568 3.0887z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"2\"/><path d=\"m306.35 291.12h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#9f1853\" stroke=\"#9f1853\" stroke-width=\"1.5\"/><path d=\"m306.35 337.47h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#33b1ff\" stroke=\"#33b1ff\" stroke-width=\"1.5\"/><path d=\"m367.76 141.51c1.1986 0 2.3482-0.4762 3.1958-1.3237s1.3237-1.9972 1.3237-3.1958c0-1.1986-0.4762-2.3482-1.3237-3.1958-0.84753-0.84753-1.9972-1.3237-3.1958-1.3237-1.1986 0-2.3482 0.4762-3.1958 1.3237-0.84753 0.84753-1.3237 1.9972-1.3237 3.1958 0 1.1986 0.4762 2.3482 1.3237 3.1958 0.84753 0.84753 1.9972 1.3237 3.1958 1.3237z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"1.5\"/><path d=\"m367.76 193.89c2.7967 0 5.4792-1.1111 7.4568-3.0887 1.9776-1.9776 3.0887-4.6601 3.0887-7.4568 0-2.7967-1.1111-5.4792-3.0887-7.4568-1.9776-1.9776-4.6601-3.0887-7.4568-3.0887-2.7967 0-5.4792 1.1111-7.4568 3.0887-1.9776 1.9776-3.0887 4.6601-3.0887 7.4568 0 2.7967 1.1111 5.4792 3.0887 7.4568 1.9776 1.9776 4.6601 3.0887 7.4568 3.0887z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"2\"/><path d=\"m352.7 244.76h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#9f1853\" stroke=\"#9f1853\" stroke-width=\"1.5\"/><path d=\"m352.7 291.12h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#33b1ff\" stroke=\"#33b1ff\" stroke-width=\"1.5\"/><path d=\"m367.76 326.93c1.1986 0 2.3482-0.4762 3.1958-1.3237 0.84753-0.84753 1.3237-1.9972 1.3237-3.1958 0-1.1986-0.4762-2.3482-1.3237-3.1958s-1.9972-1.3237-3.1958-1.3237c-1.1986 0-2.3482 0.4762-3.1958 1.3237-0.84753 0.84753-1.3237 1.9972-1.3237 3.1958 0 1.1986 0.4762 2.3482 1.3237 3.1958 0.84753 0.84753 1.9972 1.3237 3.1958 1.3237z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"1.5\"/><path d=\"m367.76 379.31c2.7967 0 5.4792-1.1111 7.4568-3.0887 1.9776-1.9776 3.0887-4.6601 3.0887-7.4568 0-2.7967-1.1111-5.4792-3.0887-7.4568-1.9776-1.9776-4.6601-3.0887-7.4568-3.0887-2.7967 0-5.4792 1.1111-7.4568 3.0887-1.9776 1.9776-3.0887 4.6601-3.0887 7.4568 0 2.7967 1.1111 5.4792 3.0887 7.4568 1.9776 1.9776 4.6601 3.0887 7.4568 3.0887z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"2\"/><path d=\"m414.12 95.157c1.1986 0 2.3482-0.4762 3.1958-1.3237 0.84753-0.84753 1.3237-1.9972 1.3237-3.1958s-0.4762-2.3482-1.3237-3.1958c-0.84753-0.84753-1.9972-1.3237-3.1958-1.3237-1.1986 0-2.3482 0.4762-3.1958 1.3237-0.84753 0.84753-1.3237 1.9972-1.3237 3.1958s0.4762 2.3482 1.3237 3.1958c0.84753 0.84753 1.9972 1.3237 3.1958 1.3237z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"1.5\"/><path d=\"m414.12 147.54c2.7967 0 5.4792-1.1111 7.4568-3.0887 1.9776-1.9776 3.0887-4.6601 3.0887-7.4568 0-2.7967-1.1111-5.4792-3.0887-7.4568s-4.6601-3.0887-7.4568-3.0887c-2.7967 0-5.4792 1.1111-7.4568 3.0887-1.9776 1.9776-3.0887 4.6601-3.0887 7.4568 0 2.7967 1.1111 5.4792 3.0887 7.4568 1.9776 1.9776 4.6601 3.0887 7.4568 3.0887z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"2\"/><path d=\"m399.05 198.41h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#9f1853\" stroke=\"#9f1853\" stroke-width=\"1.5\"/><path d=\"m399.05 244.76h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#33b1ff\" stroke=\"#33b1ff\" stroke-width=\"1.5\"/><path d=\"m414.12 280.57c1.1986 0 2.3482-0.4762 3.1958-1.3237 0.84753-0.84753 1.3237-1.9972 1.3237-3.1958 0-1.1986-0.4762-2.3482-1.3237-3.1958-0.84753-0.84753-1.9972-1.3237-3.1958-1.3237-1.1986 0-2.3482 0.4762-3.1958 1.3237-0.84753 0.84753-1.3237 1.9972-1.3237 3.1958 0 1.1986 0.4762 2.3482 1.3237 3.1958s1.9972 1.3237 3.1958 1.3237z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"1.5\"/><path d=\"m414.12 332.95c2.7967 0 5.4792-1.1111 7.4568-3.0887s3.0887-4.6601 3.0887-7.4568c0-2.7967-1.1111-5.4792-3.0887-7.4568-1.9776-1.9776-4.6601-3.0887-7.4568-3.0887-2.7967 0-5.4792 1.1111-7.4568 3.0887-1.9776 1.9776-3.0887 4.6601-3.0887 7.4568 0 2.7967 1.1111 5.4792 3.0887 7.4568 1.9776 1.9776 4.6601 3.0887 7.4568 3.0887z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"2\"/><path d=\"m399.05 383.83h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#9f1853\" stroke=\"#9f1853\" stroke-width=\"1.5\"/><path d=\"m460.47 48.803c1.1986 0 2.3482-0.4762 3.1958-1.3237s1.3237-1.9972 1.3237-3.1958c0-1.1986-0.4762-2.3482-1.3237-3.1958s-1.9972-1.3237-3.1958-1.3237c-1.1986 0-2.3482 0.4762-3.1958 1.3237-0.84753 0.84753-1.3237 1.9972-1.3237 3.1958 0 1.1986 0.4762 2.3482 1.3237 3.1958 0.84753 0.84753 1.9972 1.3237 3.1958 1.3237z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"1.5\"/><path d=\"m460.47 101.18c2.7967 0 5.4792-1.1111 7.4568-3.0887 1.9776-1.9776 3.0887-4.6601 3.0887-7.4568 0-2.7967-1.1111-5.4792-3.0887-7.4568-1.9776-1.9776-4.6601-3.0887-7.4568-3.0887-2.7967 0-5.4792 1.1111-7.4568 3.0887-1.9776 1.9776-3.0887 4.6601-3.0887 7.4568 0 2.7967 1.1111 5.4792 3.0887 7.4568 1.9776 1.9776 4.6601 3.0887 7.4568 3.0887z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"2\"/><path d=\"m445.41 152.06h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#9f1853\" stroke=\"#9f1853\" stroke-width=\"1.5\"/><path d=\"m445.41 198.41h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#33b1ff\" stroke=\"#33b1ff\" stroke-width=\"1.5\"/><path d=\"m460.47 234.22c1.1986 0 2.3482-0.4762 3.1958-1.3237 0.84753-0.84753 1.3237-1.9972 1.3237-3.1958s-0.4762-2.3482-1.3237-3.1958c-0.84753-0.84753-1.9972-1.3237-3.1958-1.3237-1.1986 0-2.3482 0.4762-3.1958 1.3237-0.84753 0.84753-1.3237 1.9972-1.3237 3.1958s0.4762 2.3482 1.3237 3.1958c0.84753 0.84753 1.9972 1.3237 3.1958 1.3237z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"1.5\"/><path d=\"m460.47 286.6c2.7967 0 5.4792-1.1111 7.4568-3.0887 1.9776-1.9776 3.0887-4.6601 3.0887-7.4568 0-2.7967-1.1111-5.4792-3.0887-7.4568-1.9776-1.9776-4.6601-3.0887-7.4568-3.0887-2.7967 0-5.4792 1.1111-7.4568 3.0887-1.9776 1.9776-3.0887 4.6601-3.0887 7.4568 0 2.7967 1.1111 5.4792 3.0887 7.4568 1.9776 1.9776 4.6601 3.0887 7.4568 3.0887z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"2\"/><path d=\"m445.41 337.47h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#9f1853\" stroke=\"#9f1853\" stroke-width=\"1.5\"/><path d=\"m445.41 383.83h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#33b1ff\" stroke=\"#33b1ff\" stroke-width=\"1.5\"/><path d=\"m491.76 59.348h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#9f1853\" stroke=\"#9f1853\" stroke-width=\"1.5\"/><path d=\"m491.76 105.7h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#9f1853\" stroke=\"#9f1853\" stroke-width=\"1.5\"/><path d=\"m491.76 152.06h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#33b1ff\" stroke=\"#33b1ff\" stroke-width=\"1.5\"/><path d=\"m506.83 187.86c1.1986 0 2.3482-0.4762 3.1958-1.3237 0.84753-0.84753 1.3237-1.9972 1.3237-3.1958 0-1.1986-0.4762-2.3482-1.3237-3.1958-0.84753-0.84753-1.9972-1.3237-3.1958-1.3237-1.1986 0-2.3482 0.4762-3.1958 1.3237s-1.3237 1.9972-1.3237 3.1958c0 1.1986 0.4762 2.3482 1.3237 3.1958 0.84753 0.84753 1.9972 1.3237 3.1958 1.3237z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"1.5\"/><path d=\"m506.83 240.24c2.7967 0 5.4792-1.1111 7.4568-3.0887 1.9776-1.9776 3.0887-4.6601 3.0887-7.4568 0-2.7967-1.1111-5.4792-3.0887-7.4568-1.9776-1.9776-4.6601-3.0887-7.4568-3.0887-2.7967 0-5.4792 1.1111-7.4568 3.0887-1.9776 1.9776-3.0887 4.6601-3.0887 7.4568 0 2.7967 1.1111 5.4792 3.0887 7.4568 1.9776 1.9776 4.6601 3.0887 7.4568 3.0887z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"2\"/><path d=\"m491.76 291.12h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#9f1853\" stroke=\"#9f1853\" stroke-width=\"1.5\"/><path d=\"m491.76 337.47h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#33b1ff\" stroke=\"#33b1ff\" stroke-width=\"1.5\"/><path d=\"m538.12 59.348h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#33b1ff\" stroke=\"#33b1ff\" stroke-width=\"1.5\"/><path d=\"m538.12 105.7h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#33b1ff\" stroke=\"#33b1ff\" stroke-width=\"1.5\"/><path d=\"m553.18 141.51c1.1986 0 2.3482-0.4762 3.1958-1.3237 0.84753-0.84753 1.3237-1.9972 1.3237-3.1958 0-1.1986-0.4762-2.3482-1.3237-3.1958-0.84753-0.84753-1.9972-1.3237-3.1958-1.3237s-2.3482 0.4762-3.1958 1.3237c-0.84753 0.84753-1.3237 1.9972-1.3237 3.1958 0 1.1986 0.4762 2.3482 1.3237 3.1958 0.84753 0.84753 1.9972 1.3237 3.1958 1.3237z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"1.5\"/><path d=\"m553.18 193.89c2.7967 0 5.4792-1.1111 7.4568-3.0887 1.9776-1.9776 3.0887-4.6601 3.0887-7.4568 0-2.7967-1.1111-5.4792-3.0887-7.4568-1.9776-1.9776-4.6601-3.0887-7.4568-3.0887s-5.4792 1.1111-7.4568 3.0887c-1.9776 1.9776-3.0887 4.6601-3.0887 7.4568 0 2.7967 1.1111 5.4792 3.0887 7.4568 1.9776 1.9776 4.6601 3.0887 7.4568 3.0887z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"2\"/><path d=\"m538.12 244.76h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#9f1853\" stroke=\"#9f1853\" stroke-width=\"1.5\"/><path d=\"m538.12 291.12h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#33b1ff\" stroke=\"#33b1ff\" stroke-width=\"1.5\"/><path d=\"m553.18 326.93c1.1986 0 2.3482-0.4762 3.1958-1.3237 0.84753-0.84753 1.3237-1.9972 1.3237-3.1958 0-1.1986-0.4762-2.3482-1.3237-3.1958-0.84753-0.84753-1.9972-1.3237-3.1958-1.3237s-2.3482 0.4762-3.1958 1.3237c-0.84753 0.84753-1.3237 1.9972-1.3237 3.1958 0 1.1986 0.4762 2.3482 1.3237 3.1958 0.84753 0.84753 1.9972 1.3237 3.1958 1.3237z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"1.5\"/><path d=\"m553.18 379.31c2.7967 0 5.4792-1.1111 7.4568-3.0887 1.9776-1.9776 3.0887-4.6601 3.0887-7.4568 0-2.7967-1.1111-5.4792-3.0887-7.4568-1.9776-1.9776-4.6601-3.0887-7.4568-3.0887s-5.4792 1.1111-7.4568 3.0887c-1.9776 1.9776-3.0887 4.6601-3.0887 7.4568 0 2.7967 1.1111 5.4792 3.0887 7.4568 1.9776 1.9776 4.6601 3.0887 7.4568 3.0887z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"2\"/><path d=\"m599.53 95.157c1.1986 0 2.3482-0.4762 3.1958-1.3237 0.84753-0.84753 1.3237-1.9972 1.3237-3.1958s-0.4762-2.3482-1.3237-3.1958c-0.84753-0.84753-1.9972-1.3237-3.1958-1.3237-1.1986 0-2.3482 0.4762-3.1958 1.3237-0.84753 0.84753-1.3237 1.9972-1.3237 3.1958s0.4762 2.3482 1.3237 3.1958c0.84753 0.84753 1.9972 1.3237 3.1958 1.3237z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"1.5\"/><path d=\"m599.53 147.54c2.7967 0 5.4792-1.1111 7.4568-3.0887 1.9776-1.9776 3.0887-4.6601 3.0887-7.4568 0-2.7967-1.1111-5.4792-3.0887-7.4568-1.9776-1.9776-4.6601-3.0887-7.4568-3.0887-2.7967 0-5.4792 1.1111-7.4568 3.0887-1.9776 1.9776-3.0887 4.6601-3.0887 7.4568 0 2.7967 1.1111 5.4792 3.0887 7.4568 1.9776 1.9776 4.6601 3.0887 7.4568 3.0887z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"2\"/><path d=\"m584.47 198.41h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#9f1853\" stroke=\"#9f1853\" stroke-width=\"1.5\"/><path d=\"m584.47 244.76h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#33b1ff\" stroke=\"#33b1ff\" stroke-width=\"1.5\"/><path d=\"m599.53 280.57c1.1986 0 2.3482-0.4762 3.1958-1.3237s1.3237-1.9972 1.3237-3.1958c0-1.1986-0.4762-2.3482-1.3237-3.1958-0.84753-0.84753-1.9972-1.3237-3.1958-1.3237-1.1986 0-2.3482 0.4762-3.1958 1.3237-0.84753 0.84753-1.3237 1.9972-1.3237 3.1958 0 1.1986 0.4762 2.3482 1.3237 3.1958 0.84753 0.84753 1.9972 1.3237 3.1958 1.3237z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"1.5\"/><path d=\"m599.53 332.95c2.7967 0 5.4792-1.1111 7.4568-3.0887 1.9776-1.9776 3.0887-4.6601 3.0887-7.4568 0-2.7967-1.1111-5.4792-3.0887-7.4568-1.9776-1.9776-4.6601-3.0887-7.4568-3.0887-2.7967 0-5.4792 1.1111-7.4568 3.0887-1.9776 1.9776-3.0887 4.6601-3.0887 7.4568 0 2.7967 1.1111 5.4792 3.0887 7.4568 1.9776 1.9776 4.6601 3.0887 7.4568 3.0887z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"2\"/><path d=\"m584.47 383.83h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#9f1853\" stroke=\"#9f1853\" stroke-width=\"1.5\"/><path d=\"m645.89 48.803c1.1986 0 2.3482-0.4762 3.1958-1.3237 0.84753-0.84753 1.3237-1.9972 1.3237-3.1958 0-1.1986-0.4762-2.3482-1.3237-3.1958-0.84753-0.84753-1.9972-1.3237-3.1958-1.3237-1.1986 0-2.3482 0.4762-3.1958 1.3237s-1.3237 1.9972-1.3237 3.1958c0 1.1986 0.4762 2.3482 1.3237 3.1958s1.9972 1.3237 3.1958 1.3237z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"1.5\"/><path d=\"m645.89 101.18c2.7967 0 5.4792-1.1111 7.4568-3.0887 1.9776-1.9776 3.0887-4.6601 3.0887-7.4568 0-2.7967-1.1111-5.4792-3.0887-7.4568-1.9776-1.9776-4.6601-3.0887-7.4568-3.0887-2.7967 0-5.4792 1.1111-7.4568 3.0887-1.9776 1.9776-3.0887 4.6601-3.0887 7.4568 0 2.7967 1.1111 5.4792 3.0887 7.4568 1.9776 1.9776 4.6601 3.0887 7.4568 3.0887z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"2\"/><path d=\"m630.82 152.06h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#9f1853\" stroke=\"#9f1853\" stroke-width=\"1.5\"/><path d=\"m630.82 198.41h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#33b1ff\" stroke=\"#33b1ff\" stroke-width=\"1.5\"/><path d=\"m645.89 234.22c1.1986 0 2.3482-0.4762 3.1958-1.3237 0.84753-0.84753 1.3237-1.9972 1.3237-3.1958s-0.4762-2.3482-1.3237-3.1958c-0.84753-0.84753-1.9972-1.3237-3.1958-1.3237-1.1986 0-2.3482 0.4762-3.1958 1.3237-0.84753 0.84753-1.3237 1.9972-1.3237 3.1958s0.4762 2.3482 1.3237 3.1958c0.84753 0.84753 1.9972 1.3237 3.1958 1.3237z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"1.5\"/><path d=\"m645.89 286.6c2.7967 0 5.4792-1.1111 7.4568-3.0887 1.9776-1.9776 3.0887-4.6601 3.0887-7.4568 0-2.7967-1.1111-5.4792-3.0887-7.4568-1.9776-1.9776-4.6601-3.0887-7.4568-3.0887-2.7967 0-5.4792 1.1111-7.4568 3.0887-1.9776 1.9776-3.0887 4.6601-3.0887 7.4568 0 2.7967 1.1111 5.4792 3.0887 7.4568 1.9776 1.9776 4.6601 3.0887 7.4568 3.0887z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"2\"/><path d=\"m630.82 337.47h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#9f1853\" stroke=\"#9f1853\" stroke-width=\"1.5\"/><path d=\"m630.82 383.83h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#33b1ff\" stroke=\"#33b1ff\" stroke-width=\"1.5\"/><path d=\"m677.18 59.348h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#9f1853\" stroke=\"#9f1853\" stroke-width=\"1.5\"/><path d=\"m677.18 105.7h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#9f1853\" stroke=\"#9f1853\" stroke-width=\"1.5\"/><path d=\"m677.18 152.06h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#33b1ff\" stroke=\"#33b1ff\" stroke-width=\"1.5\"/><path d=\"m692.24 187.86c1.1986 0 2.3482-0.4762 3.1958-1.3237 0.84753-0.84753 1.3237-1.9972 1.3237-3.1958 0-1.1986-0.4762-2.3482-1.3237-3.1958-0.84753-0.84753-1.9972-1.3237-3.1958-1.3237s-2.3482 0.4762-3.1958 1.3237c-0.84753 0.84753-1.3237 1.9972-1.3237 3.1958 0 1.1986 0.4762 2.3482 1.3237 3.1958 0.84753 0.84753 1.9972 1.3237 3.1958 1.3237z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"1.5\"/><path d=\"m692.24 240.24c2.7967 0 5.4792-1.1111 7.4568-3.0887 1.9776-1.9776 3.0887-4.6601 3.0887-7.4568 0-2.7967-1.1111-5.4792-3.0887-7.4568-1.9776-1.9776-4.6601-3.0887-7.4568-3.0887-2.7967 0-5.4792 1.1111-7.4568 3.0887-1.9776 1.9776-3.0887 4.6601-3.0887 7.4568 0 2.7967 1.1111 5.4792 3.0887 7.4568 1.9776 1.9776 4.6601 3.0887 7.4568 3.0887z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"2\"/><path d=\"m677.18 291.12h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#9f1853\" stroke=\"#9f1853\" stroke-width=\"1.5\"/><path d=\"m677.18 337.47h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#33b1ff\" stroke=\"#33b1ff\" stroke-width=\"1.5\"/><path d=\"m723.53 59.348h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#33b1ff\" stroke=\"#33b1ff\" stroke-width=\"1.5\"/><path d=\"m723.53 105.7h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#33b1ff\" stroke=\"#33b1ff\" stroke-width=\"1.5\"/><path d=\"m738.6 141.51c1.1986 0 2.3482-0.4762 3.1958-1.3237s1.3237-1.9972 1.3237-3.1958c0-1.1986-0.4762-2.3482-1.3237-3.1958-0.84753-0.84753-1.9972-1.3237-3.1958-1.3237-1.1986 0-2.3482 0.4762-3.1958 1.3237-0.84753 0.84753-1.3237 1.9972-1.3237 3.1958 0 1.1986 0.4762 2.3482 1.3237 3.1958s1.9972 1.3237 3.1958 1.3237z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"1.5\"/><path d=\"m738.6 193.89c2.7967 0 5.4792-1.1111 7.4568-3.0887 1.9776-1.9776 3.0887-4.6601 3.0887-7.4568 0-2.7967-1.1111-5.4792-3.0887-7.4568-1.9776-1.9776-4.6601-3.0887-7.4568-3.0887-2.7967 0-5.4792 1.1111-7.4568 3.0887-1.9776 1.9776-3.0887 4.6601-3.0887 7.4568 0 2.7967 1.1111 5.4792 3.0887 7.4568 1.9776 1.9776 4.6601 3.0887 7.4568 3.0887z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"2\"/><path d=\"m723.53 244.76h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#9f1853\" stroke=\"#9f1853\" stroke-width=\"1.5\"/><path d=\"m723.53 291.12h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#33b1ff\" stroke=\"#33b1ff\" stroke-width=\"1.5\"/><path d=\"m784.95 95.157c1.1986 0 2.3482-0.4762 3.1958-1.3237 0.84753-0.84753 1.3237-1.9972 1.3237-3.1958s-0.4762-2.3482-1.3237-3.1958c-0.84753-0.84753-1.9972-1.3237-3.1958-1.3237s-2.3482 0.4762-3.1958 1.3237c-0.84753 0.84753-1.3237 1.9972-1.3237 3.1958s0.4762 2.3482 1.3237 3.1958c0.84753 0.84753 1.9972 1.3237 3.1958 1.3237z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"1.5\"/><path d=\"m784.95 147.54c2.7967 0 5.4792-1.1111 7.4568-3.0887 1.9776-1.9776 3.0887-4.6601 3.0887-7.4568 0-2.7967-1.1111-5.4792-3.0887-7.4568-1.9776-1.9776-4.6601-3.0887-7.4568-3.0887-2.7967 0-5.4792 1.1111-7.4568 3.0887-1.9776 1.9776-3.0887 4.6601-3.0887 7.4568 0 2.7967 1.1111 5.4792 3.0887 7.4568 1.9776 1.9776 4.6601 3.0887 7.4568 3.0887z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"2\"/><path d=\"m769.89 198.41h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#9f1853\" stroke=\"#9f1853\" stroke-width=\"1.5\"/><path d=\"m769.89 244.76h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#33b1ff\" stroke=\"#33b1ff\" stroke-width=\"1.5\"/><path d=\"m831.3 48.803c1.1986 0 2.3482-0.4762 3.1958-1.3237s1.3237-1.9972 1.3237-3.1958c0-1.1986-0.4762-2.3482-1.3237-3.1958s-1.9972-1.3237-3.1958-1.3237c-1.1986 0-2.3482 0.4762-3.1958 1.3237-0.84753 0.84753-1.3237 1.9972-1.3237 3.1958 0 1.1986 0.4762 2.3482 1.3237 3.1958 0.84753 0.84753 1.9972 1.3237 3.1958 1.3237z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"1.5\"/><path d=\"m831.3 101.18c2.7967 0 5.4792-1.1111 7.4568-3.0887 1.9776-1.9776 3.0887-4.6601 3.0887-7.4568 0-2.7967-1.1111-5.4792-3.0887-7.4568-1.9776-1.9776-4.6601-3.0887-7.4568-3.0887-2.7967 0-5.4792 1.1111-7.4568 3.0887-1.9776 1.9776-3.0887 4.6601-3.0887 7.4568 0 2.7967 1.1111 5.4792 3.0887 7.4568 1.9776 1.9776 4.6601 3.0887 7.4568 3.0887z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#002d9c\" stroke=\"#002d9c\" stroke-width=\"2\"/><path d=\"m816.24 152.06h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#9f1853\" stroke=\"#9f1853\" stroke-width=\"1.5\"/><path d=\"m816.24 198.41h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#33b1ff\" stroke=\"#33b1ff\" stroke-width=\"1.5\"/><path d=\"m862.59 59.348h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#9f1853\" stroke=\"#9f1853\" stroke-width=\"1.5\"/><path d=\"m862.59 105.7h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#9f1853\" stroke=\"#9f1853\" stroke-width=\"1.5\"/><path d=\"m862.59 152.06h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#33b1ff\" stroke=\"#33b1ff\" stroke-width=\"1.5\"/><path d=\"m908.95 59.348h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#33b1ff\" stroke=\"#33b1ff\" stroke-width=\"1.5\"/><path d=\"m908.95 105.7h30.13v-30.13h-30.13z\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"#33b1ff\" stroke=\"#33b1ff\" stroke-width=\"1.5\"/><path d=\"m182.35 374.79v-12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m176.32 368.76h12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m228.7 328.43v-12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m222.68 322.41h12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m275.06 282.08v-12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m269.03 276.05h12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m321.41 235.73v-12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m315.38 229.7h12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m367.76 189.37v-12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m361.74 183.35h12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m367.76 374.79v-12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m361.74 368.76h12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m414.12 143.02v-12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m408.09 136.99h12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m414.12 328.43v-12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m408.09 322.41h12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m460.47 96.663v-12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m454.45 90.637h12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m460.47 282.08v-12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m454.45 276.05h12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m506.83 235.73v-12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m500.8 229.7h12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m553.18 189.37v-12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m547.15 183.35h12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m553.18 374.79v-12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m547.15 368.76h12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m599.53 143.02v-12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m593.51 136.99h12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m599.53 328.43v-12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m593.51 322.41h12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m645.89 96.663v-12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m639.86 90.637h12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m645.89 282.08v-12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m639.86 276.05h12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m692.24 235.73v-12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m686.22 229.7h12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m738.6 189.37v-12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m732.57 183.35h12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m784.95 143.02v-12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m778.92 136.99h12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m831.3 96.663v-12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><path d=\"m825.28 90.637h12.052\" clip-path=\"url(#9d11a7ae7cc)\" fill=\"none\" stroke=\"#ffffff\" stroke-linecap=\"square\" stroke-width=\"2\"/><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(37.301 48.734) scale(.1625 -.1625)\"><defs><path id=\"DejaVuSans-Oblique-71\" transform=\"scale(.015625)\" d=\"m2669 525q-231-303-546-460-314-156-695-156-531 0-833 358-301 358-301 986 0 506 186 978t533 847q225 244 517 375t614 131q387 0 637-153t363-462l100 525h578l-934-4813h-579l360 1844zm-1778 813q0-463 193-705 194-242 560-242 544 0 928 520t384 1264q0 450-199 689-198 239-569 239-272 0-504-127-231-126-403-370-181-256-286-600-104-343-104-668z\"/><path id=\"DejaVuSans-30\" transform=\"scale(.015625)\" d=\"m2034 4250q-487 0-733-480-245-479-245-1442 0-959 245-1439 246-480 733-480 491 0 736 480 246 480 246 1439 0 963-246 1442-245 480-736 480zm0 500q785 0 1199-621 414-620 414-1801 0-1178-414-1799-414-620-1199-620-784 0-1198 620-414 621-414 1799 0 1181 414 1801 414 621 1198 621z\"/></defs><use xlink:href=\"#DejaVuSans-Oblique-71\"/><use transform=\"translate(63.477 -16.406) scale(.7)\" xlink:href=\"#DejaVuSans-30\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(37.301 95.088) scale(.1625 -.1625)\"><defs><path id=\"DejaVuSans-31\" transform=\"scale(.015625)\" d=\"m794 531h1031v3560l-1122-225v575l1116 225h631v-4135h1031v-531h-2687v531z\"/></defs><use xlink:href=\"#DejaVuSans-Oblique-71\"/><use transform=\"translate(63.477 -16.406) scale(.7)\" xlink:href=\"#DejaVuSans-31\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(37.301 141.44) scale(.1625 -.1625)\"><defs><path id=\"DejaVuSans-32\" transform=\"scale(.015625)\" d=\"m1228 531h2203v-531h-2962v531q359 372 979 998 621 627 780 809 303 340 423 576 121 236 121 464 0 372-261 606-261 235-680 235-297 0-627-103-329-103-704-313v638q381 153 712 231 332 78 607 78 725 0 1156-363 431-362 431-968 0-288-108-546-107-257-392-607-78-91-497-524-418-433-1181-1211z\"/></defs><use xlink:href=\"#DejaVuSans-Oblique-71\"/><use transform=\"translate(63.477 -16.406) scale(.7)\" xlink:href=\"#DejaVuSans-32\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(37.301 187.8) scale(.1625 -.1625)\"><defs><path id=\"DejaVuSans-33\" transform=\"scale(.015625)\" d=\"m2597 2516q453-97 707-404 255-306 255-756 0-690-475-1069-475-378-1350-378-293 0-604 58t-642 174v609q262-153 574-231 313-78 654-78 593 0 904 234t311 681q0 413-289 645-289 233-804 233h-544v519h569q465 0 712 186t247 536q0 359-255 551-254 193-729 193-260 0-557-57-297-56-653-174v562q360 100 674 150t592 50q719 0 1137-327 419-326 419-882 0-388-222-655t-631-370z\"/></defs><use xlink:href=\"#DejaVuSans-Oblique-71\"/><use transform=\"translate(63.477 -16.406) scale(.7)\" xlink:href=\"#DejaVuSans-33\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(37.301 234.15) scale(.1625 -.1625)\"><defs><path id=\"DejaVuSans-34\" transform=\"scale(.015625)\" d=\"m2419 4116-1594-2491h1594v2491zm-166 550h794v-3041h666v-525h-666v-1100h-628v1100h-2106v609l1940 2957z\"/></defs><use xlink:href=\"#DejaVuSans-Oblique-71\"/><use transform=\"translate(63.477 -16.406) scale(.7)\" xlink:href=\"#DejaVuSans-34\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(37.301 280.5) scale(.1625 -.1625)\"><defs><path id=\"DejaVuSans-35\" transform=\"scale(.015625)\" d=\"m691 4666h2478v-532h-1900v-1143q137 47 274 70 138 23 276 23 781 0 1237-428 457-428 457-1159 0-753-469-1171-469-417-1322-417-294 0-599 50-304 50-629 150v635q281-153 581-228t634-75q541 0 856 284 316 284 316 772 0 487-316 771-315 285-856 285-253 0-505-56-251-56-513-175v2344z\"/></defs><use xlink:href=\"#DejaVuSans-Oblique-71\"/><use transform=\"translate(63.477 -16.406) scale(.7)\" xlink:href=\"#DejaVuSans-35\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(37.301 326.86) scale(.1625 -.1625)\"><defs><path id=\"DejaVuSans-36\" transform=\"scale(.015625)\" d=\"m2113 2584q-425 0-674-291-248-290-248-796 0-503 248-796 249-292 674-292t673 292q248 293 248 796 0 506-248 796-248 291-673 291zm1253 1979v-575q-238 112-480 171-242 60-480 60-625 0-955-422-329-422-376-1275 184 272 462 417 279 145 613 145 703 0 1111-427 408-426 408-1160 0-719-425-1154-425-434-1131-434-810 0-1238 620-428 621-428 1799 0 1106 525 1764t1409 658q238 0 480-47t505-140z\"/></defs><use xlink:href=\"#DejaVuSans-Oblique-71\"/><use transform=\"translate(63.477 -16.406) scale(.7)\" xlink:href=\"#DejaVuSans-36\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(37.301 373.21) scale(.1625 -.1625)\"><defs><path id=\"DejaVuSans-37\" transform=\"scale(.015625)\" d=\"m525 4666h3e3v-269l-1694-4397h-659l1594 4134h-2241v532z\"/></defs><use xlink:href=\"#DejaVuSans-Oblique-71\"/><use transform=\"translate(63.477 -16.406) scale(.7)\" xlink:href=\"#DejaVuSans-37\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(81.527 55.53) scale(.08 -.08)\" fill=\"#ffffff\"><defs><path id=\"DejaVuSans-3b8\" transform=\"scale(.015625)\" d=\"m2953 2219h-1990q46-935 262-1331 269-488 734-488 469 0 729 491 228 431 265 1328zm-9 531q-88 888-256 1200-269 494-729 494-478 0-731-488-200-393-259-1206h1975zm-985 2163q750 0 1179-663 428-659 428-1828 0-1166-428-1828-429-666-1179-666-753 0-1178 666-428 662-428 1828 0 1169 428 1828 425 663 1178 663z\"/><path id=\"DejaVuSans-5b\" transform=\"scale(.015625)\" d=\"m550 4863h1325v-447h-750v-4813h750v-447h-1325v5707z\"/><path id=\"DejaVuSans-5d\" transform=\"scale(.015625)\" d=\"m1947 4863v-5707h-1325v447h747v4813h-747v447h1325z\"/></defs><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-30\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(82.1 43.351) scale(.13 -.13)\" fill=\"#ffffff\"><defs><path id=\"DejaVuSans-52\" transform=\"scale(.015625)\" d=\"m2841 2188q203-69 395-294t386-619l641-1275h-679l-596 1197q-232 469-449 622t-592 153h-688v-1972h-631v4666h1425q800 0 1194-335 394-334 394-1009 0-441-205-732-205-290-595-402zm-1582 1959v-1656h794q456 0 689 211t233 620-233 617-689 208h-794z\"/><path id=\"DejaVuSans-59\" transform=\"scale(.015625)\" d=\"m-13 4666h679l1293-1919 1285 1919h678l-1650-2444v-2222h-634v2222l-1651 2444z\"/></defs><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-59\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(81.527 101.88) scale(.08 -.08)\" fill=\"#ffffff\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-31\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(82.1 89.705) scale(.13 -.13)\" fill=\"#ffffff\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-59\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(81.527 148.24) scale(.08 -.08)\" fill=\"#ffffff\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-32\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(82.1 136.06) scale(.13 -.13)\" fill=\"#ffffff\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-59\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(81.527 194.59) scale(.08 -.08)\" fill=\"#ffffff\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-33\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(82.1 182.41) scale(.13 -.13)\" fill=\"#ffffff\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-59\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(81.527 240.95) scale(.08 -.08)\" fill=\"#ffffff\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-34\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(82.1 228.77) scale(.13 -.13)\" fill=\"#ffffff\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-59\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(81.527 287.3) scale(.08 -.08)\" fill=\"#ffffff\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-35\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(82.1 275.12) scale(.13 -.13)\" fill=\"#ffffff\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-59\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(81.527 333.65) scale(.08 -.08)\" fill=\"#ffffff\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-36\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(82.1 321.47) scale(.13 -.13)\" fill=\"#ffffff\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-59\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(81.527 380.01) scale(.08 -.08)\" fill=\"#ffffff\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-37\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(82.1 367.83) scale(.13 -.13)\" fill=\"#ffffff\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-59\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(127.88 55.53) scale(.08 -.08)\"><defs><path id=\"DejaVuSans-38\" transform=\"scale(.015625)\" d=\"m2034 2216q-450 0-708-241-257-241-257-662 0-422 257-663 258-241 708-241t709 242q260 243 260 662 0 421-258 662-257 241-711 241zm-631 268q-406 100-633 378-226 279-226 679 0 559 398 884 399 325 1092 325 697 0 1094-325t397-884q0-400-227-679-226-278-629-378 456-106 710-416 255-309 255-755 0-679-414-1042-414-362-1186-362-771 0-1186 362-414 363-414 1042 0 446 256 755 257 310 713 416zm-231 997q0-362 226-565 227-203 636-203 407 0 636 203 230 203 230 565 0 363-230 566-229 203-636 203-409 0-636-203-226-203-226-566z\"/></defs><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-38\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(128.06 43.351) scale(.13 -.13)\"><defs><path id=\"DejaVuSans-5a\" transform=\"scale(.015625)\" d=\"m359 4666h3666v-482l-2950-3653h3022v-531h-3809v481l2950 3653h-2879v532z\"/></defs><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-5a\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(127.88 101.88) scale(.08 -.08)\"><defs><path id=\"DejaVuSans-39\" transform=\"scale(.015625)\" d=\"m703 97v575q238-113 481-172 244-59 479-59 625 0 954 420 330 420 377 1277-181-269-460-413-278-144-615-144-700 0-1108 423-408 424-408 1159 0 718 425 1152 425 435 1131 435 810 0 1236-621 427-620 427-1801 0-1103-524-1761-523-658-1407-658-238 0-482 47-243 47-506 141zm1256 1978q425 0 673 290 249 291 249 798 0 503-249 795-248 292-673 292t-673-292-248-795q0-507 248-798 248-290 673-290z\"/></defs><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-39\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(128.06 89.705) scale(.13 -.13)\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-5a\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(125.34 148.24) scale(.08 -.08)\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-31\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-30\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(128.06 136.06) scale(.13 -.13)\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-5a\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(125.34 194.59) scale(.08 -.08)\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-31\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-31\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(128.06 182.41) scale(.13 -.13)\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-5a\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(125.34 240.95) scale(.08 -.08)\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-31\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-32\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(128.06 228.77) scale(.13 -.13)\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-5a\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(125.34 287.3) scale(.08 -.08)\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-31\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-33\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(128.06 275.12) scale(.13 -.13)\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-5a\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(125.34 333.65) scale(.08 -.08)\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-31\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-34\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(128.06 321.47) scale(.13 -.13)\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-5a\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(125.34 380.01) scale(.08 -.08)\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-31\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-35\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(128.06 367.83) scale(.13 -.13)\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-5a\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(218.04 380.01) scale(.08 -.08)\" fill=\"#ffffff\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-32\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-33\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(221.16 367.83) scale(.13 -.13)\" fill=\"#ffffff\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-59\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(264.4 333.65) scale(.08 -.08)\" fill=\"#ffffff\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-32\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-32\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(267.52 321.47) scale(.13 -.13)\" fill=\"#ffffff\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-59\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(264.4 380.01) scale(.08 -.08)\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-33\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-31\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(267.13 367.83) scale(.13 -.13)\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-5a\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(310.75 287.3) scale(.08 -.08)\" fill=\"#ffffff\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-32\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-31\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(313.87 275.12) scale(.13 -.13)\" fill=\"#ffffff\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-59\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(310.75 333.65) scale(.08 -.08)\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-33\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-30\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(313.48 321.47) scale(.13 -.13)\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-5a\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(357.11 240.95) scale(.08 -.08)\" fill=\"#ffffff\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-32\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-30\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(360.22 228.77) scale(.13 -.13)\" fill=\"#ffffff\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-59\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(357.11 287.3) scale(.08 -.08)\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-32\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-39\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(359.83 275.12) scale(.13 -.13)\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-5a\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(403.46 194.59) scale(.08 -.08)\" fill=\"#ffffff\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-31\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-39\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(406.58 182.41) scale(.13 -.13)\" fill=\"#ffffff\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-59\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(403.46 240.95) scale(.08 -.08)\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-32\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-38\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(406.19 228.77) scale(.13 -.13)\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-5a\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(403.46 380.01) scale(.08 -.08)\" fill=\"#ffffff\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-33\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-39\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(406.58 367.83) scale(.13 -.13)\" fill=\"#ffffff\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-59\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(449.81 148.24) scale(.08 -.08)\" fill=\"#ffffff\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-31\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-38\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(452.93 136.06) scale(.13 -.13)\" fill=\"#ffffff\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-59\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(449.81 194.59) scale(.08 -.08)\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-32\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-37\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(452.54 182.41) scale(.13 -.13)\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-5a\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(449.81 333.65) scale(.08 -.08)\" fill=\"#ffffff\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-33\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-38\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(452.93 321.47) scale(.13 -.13)\" fill=\"#ffffff\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-59\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(449.81 380.01) scale(.08 -.08)\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-34\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-37\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(452.54 367.83) scale(.13 -.13)\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-5a\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(496.17 55.53) scale(.08 -.08)\" fill=\"#ffffff\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-31\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-36\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(499.29 43.351) scale(.13 -.13)\" fill=\"#ffffff\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-59\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(496.17 101.88) scale(.08 -.08)\" fill=\"#ffffff\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-31\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-37\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(499.29 89.705) scale(.13 -.13)\" fill=\"#ffffff\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-59\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(496.17 148.24) scale(.08 -.08)\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-32\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-36\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(498.9 136.06) scale(.13 -.13)\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-5a\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(496.17 287.3) scale(.08 -.08)\" fill=\"#ffffff\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-33\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-37\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(499.29 275.12) scale(.13 -.13)\" fill=\"#ffffff\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-59\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(496.17 333.65) scale(.08 -.08)\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-34\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-36\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(498.9 321.47) scale(.13 -.13)\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-5a\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(542.52 55.53) scale(.08 -.08)\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-32\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-34\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(545.25 43.351) scale(.13 -.13)\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-5a\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(542.52 101.88) scale(.08 -.08)\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-32\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-35\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(545.25 89.705) scale(.13 -.13)\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-5a\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(542.52 240.95) scale(.08 -.08)\" fill=\"#ffffff\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-33\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-36\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(545.64 228.77) scale(.13 -.13)\" fill=\"#ffffff\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-59\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(542.52 287.3) scale(.08 -.08)\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-34\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-35\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(545.25 275.12) scale(.13 -.13)\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-5a\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(588.88 194.59) scale(.08 -.08)\" fill=\"#ffffff\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-33\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-35\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(591.99 182.41) scale(.13 -.13)\" fill=\"#ffffff\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-59\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(588.88 240.95) scale(.08 -.08)\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-34\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-34\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(591.6 228.77) scale(.13 -.13)\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-5a\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(588.88 380.01) scale(.08 -.08)\" fill=\"#ffffff\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-35\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-35\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(591.99 367.83) scale(.13 -.13)\" fill=\"#ffffff\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-59\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(635.23 148.24) scale(.08 -.08)\" fill=\"#ffffff\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-33\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-34\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(638.35 136.06) scale(.13 -.13)\" fill=\"#ffffff\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-59\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(635.23 194.59) scale(.08 -.08)\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-34\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-33\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(637.96 182.41) scale(.13 -.13)\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-5a\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(635.23 333.65) scale(.08 -.08)\" fill=\"#ffffff\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-35\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-34\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(638.35 321.47) scale(.13 -.13)\" fill=\"#ffffff\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-59\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(635.23 380.01) scale(.08 -.08)\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-36\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-33\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(637.96 367.83) scale(.13 -.13)\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-5a\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(681.58 55.53) scale(.08 -.08)\" fill=\"#ffffff\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-33\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-32\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(684.7 43.351) scale(.13 -.13)\" fill=\"#ffffff\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-59\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(681.58 101.88) scale(.08 -.08)\" fill=\"#ffffff\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-33\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-33\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(684.7 89.705) scale(.13 -.13)\" fill=\"#ffffff\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-59\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(681.58 148.24) scale(.08 -.08)\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-34\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-32\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(684.31 136.06) scale(.13 -.13)\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-5a\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(681.58 287.3) scale(.08 -.08)\" fill=\"#ffffff\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-35\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-33\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(684.7 275.12) scale(.13 -.13)\" fill=\"#ffffff\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-59\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(681.58 333.65) scale(.08 -.08)\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-36\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-32\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(684.31 321.47) scale(.13 -.13)\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-5a\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(727.94 55.53) scale(.08 -.08)\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-34\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-30\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(730.67 43.351) scale(.13 -.13)\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-5a\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(727.94 101.88) scale(.08 -.08)\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-34\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-31\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(730.67 89.705) scale(.13 -.13)\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-5a\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(727.94 240.95) scale(.08 -.08)\" fill=\"#ffffff\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-35\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-32\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(731.06 228.77) scale(.13 -.13)\" fill=\"#ffffff\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-59\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(727.94 287.3) scale(.08 -.08)\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-36\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-31\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(730.67 275.12) scale(.13 -.13)\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-5a\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(774.29 194.59) scale(.08 -.08)\" fill=\"#ffffff\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-35\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-31\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(777.41 182.41) scale(.13 -.13)\" fill=\"#ffffff\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-59\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(774.29 240.95) scale(.08 -.08)\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-36\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-30\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(777.02 228.77) scale(.13 -.13)\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-5a\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(820.65 148.24) scale(.08 -.08)\" fill=\"#ffffff\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-35\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-30\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(823.76 136.06) scale(.13 -.13)\" fill=\"#ffffff\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-59\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(820.65 194.59) scale(.08 -.08)\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-35\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-39\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(823.37 182.41) scale(.13 -.13)\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-5a\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(867 55.53) scale(.08 -.08)\" fill=\"#ffffff\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-34\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-38\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(870.12 43.351) scale(.13 -.13)\" fill=\"#ffffff\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-59\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(867 101.88) scale(.08 -.08)\" fill=\"#ffffff\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-34\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-39\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(870.12 89.705) scale(.13 -.13)\" fill=\"#ffffff\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-59\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(867 148.24) scale(.08 -.08)\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-35\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-38\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(869.73 136.06) scale(.13 -.13)\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-5a\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(913.35 55.53) scale(.08 -.08)\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-35\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-36\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(916.08 43.351) scale(.13 -.13)\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-5a\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(913.35 101.88) scale(.08 -.08)\"><use xlink:href=\"#DejaVuSans-3b8\"/><use x=\"61.181641\" xlink:href=\"#DejaVuSans-5b\"/><use x=\"100.195312\" xlink:href=\"#DejaVuSans-35\"/><use x=\"163.818359\" xlink:href=\"#DejaVuSans-37\"/><use x=\"227.441406\" xlink:href=\"#DejaVuSans-5d\"/></g></g><g clip-path=\"url(#9d11a7ae7cc)\"><g transform=\"translate(916.08 89.705) scale(.13 -.13)\"><use transform=\"translate(0 .09375)\" xlink:href=\"#DejaVuSans-52\"/><use transform=\"translate(70.439 -16.312) scale(.7)\" xlink:href=\"#DejaVuSans-5a\"/></g></g><defs><clipPath id=\"9d11a7ae7cc\"><rect x=\"7.2\" y=\"7.2\" width=\"947.41\" height=\"389.37\"/></clipPath></defs></svg>"
|
|
],
|
|
"text/plain": [
|
|
"<Figure size 1708.89x702.333 with 1 Axes>"
|
|
]
|
|
},
|
|
"execution_count": 1,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"from qiskit.circuit.library import EfficientSU2\n",
|
|
"\n",
|
|
"n_qubits = 8\n",
|
|
"circuit = EfficientSU2(n_qubits)\n",
|
|
"circuit.decompose().draw(\"mpl\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "9f72e683-a828-456d-a5d4-910758cc9add",
|
|
"metadata": {},
|
|
"source": [
|
|
"Using Qiskit Aer, we were able to simulate this circuit easily. However, suppose we set the number of qubits to 500:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 2,
|
|
"id": "43c8277f-3f0d-4d31-a1c2-e4c541083f5d",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"n_qubits = 500\n",
|
|
"circuit = EfficientSU2(n_qubits)\n",
|
|
"# don't try to draw the circuit because it's too large"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "ecd975b0-2ec0-4a99-a0f6-790d43af19fb",
|
|
"metadata": {},
|
|
"source": [
|
|
"Because the cost of simulating quantum circuits scales exponentially with the number of qubits, such a large circuit would generally exceed the capabilities of even a high-performance simulator like Qiskit Aer. Classical simulation of generic quantum circuits becomes infeasible when the number of qubits exceeds roughly 50 to 100 qubits. However, note that the EfficientSU2 circuit is parameterized by angles on $R_y$ and $R_z$ gates. If all of these angles are contained in the set $\\{0, \\frac{\\pi}{2}, \\pi, \\frac{3\\pi}{2}\\}$, then the circuit is a stabilizer circuit, and it can be efficiently simulated!\n",
|
|
"\n",
|
|
"In the following cell, we run the circuit with the Sampler primitive backed by the stabilizer circuit simulator, using parameters chosen randomly such that the circuit is guaranteed to be a stabilizer circuit."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 3,
|
|
"id": "2210bbe3-1a89-48fe-a4ea-f3c9b1cd37d0",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"import numpy as np\n",
|
|
"from qiskit.transpiler.preset_passmanagers import generate_preset_pass_manager\n",
|
|
"from qiskit_aer import AerSimulator\n",
|
|
"from qiskit_aer.primitives import SamplerV2 as Sampler\n",
|
|
"\n",
|
|
"measured_circuit = circuit.copy()\n",
|
|
"measured_circuit.measure_all()\n",
|
|
"\n",
|
|
"rng = np.random.default_rng(1234)\n",
|
|
"params = rng.choice(\n",
|
|
" [0, np.pi / 2, np.pi, 3 * np.pi / 2],\n",
|
|
" size=circuit.num_parameters,\n",
|
|
")\n",
|
|
"\n",
|
|
"# Initialize a Sampler backed by the stabilizer circuit simulator\n",
|
|
"exact_sampler = Sampler(\n",
|
|
" options=dict(backend_options=dict(method=\"stabilizer\"))\n",
|
|
")\n",
|
|
"# The circuit needs to be transpiled to the AerSimulator target\n",
|
|
"pass_manager = generate_preset_pass_manager(\n",
|
|
" 1, AerSimulator(method=\"stabilizer\")\n",
|
|
")\n",
|
|
"isa_circuit = pass_manager.run(measured_circuit)\n",
|
|
"pub = (isa_circuit, params)\n",
|
|
"job = exact_sampler.run([pub])\n",
|
|
"result = job.result()\n",
|
|
"pub_result = result[0]\n",
|
|
"counts = pub_result.data.meas.get_counts()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "445694b0-3e5b-4fc2-a610-f86674065045",
|
|
"metadata": {},
|
|
"source": [
|
|
"The stabilizer circuit simulator also supports noisy simulation, but only for a restricted class of noise models. Specifically, any quantum noise must be characterized by a [Pauli error](https://qiskit.org/ecosystem/aer/stubs/qiskit_aer.noise.pauli_error.html#qiskit_aer.noise.pauli_error) channel. [Depolarizing error](https://qiskit.org/ecosystem/aer/stubs/qiskit_aer.noise.depolarizing_error.html) falls into this category, so it can be simulated too. Classical noise channels like [readout error](https://qiskit.org/ecosystem/aer/stubs/qiskit_aer.noise.ReadoutError.html) can also be simulated.\n",
|
|
"\n",
|
|
"The following code cell runs the same simulation as before, but this time specifying a noise model that adds depolarizing error of 2% to each CX gate, as well as readout error that flips each measured bit with 5% probability."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 4,
|
|
"id": "71dd8d78-6efd-4c4e-900a-1d73deafe46e",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"from qiskit_aer.noise import NoiseModel, depolarizing_error, ReadoutError\n",
|
|
"\n",
|
|
"noise_model = NoiseModel()\n",
|
|
"cx_depolarizing_prob = 0.02\n",
|
|
"bit_flip_prob = 0.05\n",
|
|
"noise_model.add_all_qubit_quantum_error(\n",
|
|
" depolarizing_error(cx_depolarizing_prob, 2), [\"cx\"]\n",
|
|
")\n",
|
|
"noise_model.add_all_qubit_readout_error(\n",
|
|
" ReadoutError(\n",
|
|
" [\n",
|
|
" [1 - bit_flip_prob, bit_flip_prob],\n",
|
|
" [bit_flip_prob, 1 - bit_flip_prob],\n",
|
|
" ]\n",
|
|
" )\n",
|
|
")\n",
|
|
"\n",
|
|
"noisy_sampler = Sampler(\n",
|
|
" options=dict(\n",
|
|
" backend_options=dict(method=\"stabilizer\", noise_model=noise_model)\n",
|
|
" )\n",
|
|
")\n",
|
|
"job = noisy_sampler.run([pub])\n",
|
|
"result = job.result()\n",
|
|
"pub_result = result[0]\n",
|
|
"counts = pub_result.data.meas.get_counts()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "01b3e796-bd06-419f-a2fc-55c8603f662f",
|
|
"metadata": {},
|
|
"source": [
|
|
"Now, let's use the Estimator primitive backed by the stabilizer simulator to compute the expectation value of the observable $ZZ \\cdots Z$. Due to the special structure of stabilizer circuits, the result is very likely to be 0."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 5,
|
|
"id": "57fb0674-5bd2-44b0-a28e-e73deff455cf",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"0.0"
|
|
]
|
|
},
|
|
"execution_count": 5,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"from qiskit.quantum_info import SparsePauliOp\n",
|
|
"from qiskit_aer.primitives import EstimatorV2 as Estimator\n",
|
|
"\n",
|
|
"observable = SparsePauliOp(\"Z\" * n_qubits)\n",
|
|
"\n",
|
|
"exact_estimator = Estimator(\n",
|
|
" options=dict(backend_options=dict(method=\"stabilizer\")),\n",
|
|
")\n",
|
|
"isa_circuit = pass_manager.run(circuit)\n",
|
|
"pub = (isa_circuit, observable, params)\n",
|
|
"job = exact_estimator.run([pub])\n",
|
|
"result = job.result()\n",
|
|
"pub_result = result[0]\n",
|
|
"exact_value = float(pub_result.data.evs)\n",
|
|
"exact_value"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "9d5e6593-06f0-4e1b-a4f0-7b640a74f6c5",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Next steps\n",
|
|
"\n",
|
|
"<Admonition type=\"tip\" title=\"Recommendations\">\n",
|
|
" - To simulate circuits with Qiskit Aer, see [Exact and noisy simulation with Qiskit Aer primitives](./simulate-with-qiskit-sdk-primitives).\n",
|
|
" - Review the [Qiskit Aer](https://qiskit.org/ecosystem/aer/) documentation.\n",
|
|
"</Admonition>"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {
|
|
"description": "How to efficiently simulate stabilizer circuits using Qiskit Aer primitives.",
|
|
"kernelspec": {
|
|
"display_name": "Python 3",
|
|
"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"
|
|
},
|
|
"title": "Efficient simulation of stabilizer circuits with Qiskit Aer primitives"
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 4
|
|
}
|