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Repository: qiskit-community/qgss-2025
Branch: main
Commit: 0069a573c4ef
Files: 56
Total size: 39.2 MB

Directory structure:
gitextract_kuvafn0a/

├── .gitignore
├── LICENSE
├── README.md
├── community-labs/
│   └── README.md
├── functions-labs/
│   ├── README.md
│   ├── algorithmiq/
│   │   ├── TEM_lab_validation.py
│   │   └── algorithmiq_tensor-network_error_mitigation (TEM).ipynb
│   ├── colibri-td/
│   │   ├── colibritd_quick-pde.ipynb
│   │   └── grader.py
│   ├── global-data-quantum/
│   │   ├── gdq_quantum_portfolio_optimizer.ipynb
│   │   └── grader.py
│   ├── kipu/
│   │   ├── data/
│   │   │   └── ibm_washington.txt
│   │   ├── grader_iskay.py
│   │   └── kipu_iskay_quantum_optimizer.ipynb
│   ├── multiverse/
│   │   ├── data/
│   │   │   └── grid_stability/
│   │   │       ├── test.csv
│   │   │       └── train.csv
│   │   ├── grader.py
│   │   └── multiverse_singularity.ipynb
│   ├── q-ctrl/
│   │   ├── grader.py
│   │   └── q-ctrl_performance_management.ipynb
│   ├── qedma/
│   │   ├── grader.py
│   │   └── qedma_qesem.ipynb
│   └── qunova/
│       ├── grader.py
│       └── qunova_hi-vqe.ipynb
├── lab-0/
│   ├── lab0-ko.ipynb
│   ├── lab0.ipynb
│   ├── lab0_br.ipynb
│   ├── lab0_cn.ipynb
│   ├── lab0_hindi.ipynb
│   └── lab0_ja.ipynb
├── lab-1/
│   ├── Supplemental_long_range_entanglement_with_limited_qubit_connectivity.ipynb
│   ├── lab1-ko.ipynb
│   ├── lab1.ipynb
│   ├── lab1_hindi.ipynb
│   └── lab1_ja.ipynb
├── lab-2/
│   ├── Lab2-ko.ipynb
│   ├── Lab2.ipynb
│   ├── Lab2_ja.ipynb
│   └── utils.py
├── lab-3/
│   ├── lab3-ko.ipynb
│   ├── lab3.ipynb
│   ├── lab3_ja.ipynb
│   └── utils/
│       ├── N2_device_bitarray.npy
│       ├── backend_target_v20.pkl
│       └── backend_target_v21.pkl
├── lab-4/
│   ├── lab4-ko.ipynb
│   ├── lab4.ipynb
│   ├── lab4_ja.ipynb
│   ├── lab4_util-ko.py
│   └── lab4_util.py
├── lecture_supplementary/
│   └── FermiHubbard-Example.ipynb
└── solutions/
    ├── lab-0/
    │   └── lab0-solution.ipynb
    ├── lab-1/
    │   └── lab1-solution.ipynb
    ├── lab-2/
    │   └── lab2-solution.ipynb
    ├── lab-3/
    │   └── lab3-solution.ipynb
    └── lab-4/
        └── lab4-solution.ipynb

================================================
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FILE: .gitignore
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#  and can be added to the global gitignore or merged into this file. However, if you prefer, 
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#  exclude from AI features like autocomplete and code analysis. Recommended for sensitive data
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.cursorindexingignore

================================================
FILE: LICENSE
================================================
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================================================
FILE: README.md
================================================
# qgss-2025
Qiskit Global Summer School: The Past, Present and Future of Quantum Computing

# Launch on qBraid

qBraid is an official Jupyter Lab cloud platform host for the Qiskit Global Summer School this year. Follow our quick tutorial [here](https://docs.qbraid.com/lab/user-guide/qgss-2025) to get started with no set-up, installations, or hassle.

To open the QGSS files, labs, and resources directly on qBraid, click this button:

[<img src="https://qbraid-static.s3.amazonaws.com/logos/Launch_on_qBraid_white.png" width="150">](https://account.qbraid.com/?gitHubUrl=https://github.com/qiskit-community/qgss-2025.git&api=v2)




================================================
FILE: community-labs/README.md
================================================
# QGSS-2025-community-labs


As part of the future leaders in quantum hackathon: https://aiforgood.itu.int/the-future-leaders-in-quantum-hackathon/ the winners in the education category got the chance to provide their created educational labs to participants on the Qiskit Global Summer School as community labs. The labs linked here are optional for the Qiskit Global Summer School and provide additional challenges in case you still want to do more and we highly recommend them if you are interested in learning more about the subjects.

We were really happy with what the participants of the FLIQ hackathon created and present here the winners:


1. Quantum Error Correction with the Surface-17 Code by Dev Verma
2. Quantum Simulation of GUT Baryogenesis by Mukul Kumar & Vivek Pal
3. Grover's Algorithm - Quantum Searching with Qiskit by Felix Arkle & Sebastian Gotto
4. CHSH Game: Testing the Limits of Reality with Quantum Mechanics by Lakshmi Yendapalli


# 1. Quantum Error Correction with the Surface-17 Code

## Author Dev Verma

I recently graduated from NTU as a scholar in Applied Physics. I am passionate about quantum computing and cryptography and will be working towards growing my understanding and expertise in these fields. 

## About the Challenge: 

My Jupyter notebook is a tutorial on quantum error correction, focusing on the surface-17 code, which is one of the most promising approaches to quantum error correction. The tutorial assumes no background in error correction; it builds the reader's understanding from simple classical repetition codes to the stabiliser formalism, and ultimately the surface-17 code. It also discusses the heavy-hex lattice architecture, which is more realistic for the current dominant quantum hardware configuration - IBM's superconducting circuits.

## Link:

The challenge can be found on the github of Dev Verma: https://github.com/TheSonOfKrypton/FLIQ-Hackathon-2025/blob/main/QEC%20-%20Surface-17%20Code.ipynb



# 2. Quantum Simulation of GUT Baryogenesis

## Authors Mukul Kumar & Vivek Pal

Mukul Kumar is an 18-year-old dropout student researching nature simulations on quantum computers and he created this challenge together with Vivek Pal.

## About the Challenge: 

Our challenge is basically a fun experiment that helps you learn about the beginning of the universe and some unsolved mysteries, all of which we are going to study with quantum circuits.

## Link:

The challenge can be found on the github of Mukul Kumar: https://github.com/mk0dz/qgss25/blob/main/lab.ipynb



# 3. Grover's Algorithm - Quantum Searching with Qiskit

## Authors Felix Arkle & Sebastian Gotto

Felix Arkle: Currently an undergraduate student at Newcastle University studying computer science. Sebastian Gotto: A recent graduate of UCL having studied Statistics, Economics and Finance.

## About the Challenge: 

This lab focuses on building and demonstrating Grover's algorithm, a quantum search algorithm. You'll construct the necessary quantum circuits, including the oracle and diffusion operators. This lab is suitable for beginners.

## Link:

The challenge can be found on the github of Felix Arkle: https://github.com/Bumsparkle/Grovers-Algorithm-Tutorial/blob/main/grovers_algorithm_tutorial.ipynb



# 4. CHSH Game: Testing the Limits of Reality with Quantum Mechanics

## Author Lakshmi Yendapalli

Lakshmi Yendapalli is a former strategy consultant turned computer scientist, currently pursuing her master’s in Computer Science at Georgia Tech. She’s especially fascinated by what mischief qubits are up to when no one’s looking.

## About the Challenge: 

Ever wanted to recreate some of the experiments that earned the 2022 Nobel Prize in Physics? How about proving Einstein wrong while we’re at it? In this hands-on lab on the CHSH game, we’ll explore the surprising foundations of quantum mechanics. Starting from the EPR paradox and Einstein-Bohr debates, we’ll journey through the development of Bell's theorem, culminating in the CHSH inequality. Then we’ll jump into Qiskit to build and run quantum circuits that experimentally demonstrate the CHSH inequality.

## Link:

The challenge can be found on the github of Lakshmi Yendapalli: https://github.com/lakshmi-yendapalli/CHSH_game_tutorial/tree/main



================================================
FILE: functions-labs/README.md
================================================
## Exclusive Access to Qiskit Functions

As part of Qiskit Global Summer School (QGSS), participants with a Premium or Flex Plan have limited-time trial access to Qiskit Functions. Access is exclusive and subject to your organization’s administrator approval. Complete [this form](https://airtable.com/appj8IrSNZGz4l4BB/pag8WgWdUr5uSJGZA/form) to request access.

If you encounter the error `QiskitServerlessException: Credentials couldn't be verified`, it means your access to Qiskit Functions is not yet active. Please check back later after your request has been processed.

**Note: Running this lab will consume QPU time from your organization’s account. Estimated QPU usage is provided before each cell that executes on a QPU. Please monitor your usage and consult your organization admin if you’re unsure about your allocated QPU time for QGSS Functions labs.**

================================================
FILE: functions-labs/algorithmiq/TEM_lab_validation.py
================================================
from __future__ import annotations

import os
from functools import cached_property
from typing import TYPE_CHECKING, Self

import numpy as np
from numpy.random import default_rng
from pydantic import (
    BaseModel,
    ConfigDict,
    computed_field,
    field_validator,
    model_validator,
)
import base64
import io
import zlib
import hashlib

from qiskit.quantum_info import Statevector
from qiskit.primitives.containers.estimator_pub import EstimatorPub
from qiskit_ibm_runtime.options import NoiseLearnerOptions, TwirlingOptions

UNSUPPORTED_GATES = [
    "reset",
    "if_else",
    "for_loop",
    "switch_case",
    "measure",
]

class TEMOptions(BaseModel):
    tem_max_bond_dimension: int = (500,)
    compute_shadows_bias_from_observable: bool = False
    shadows_bias: np.ndarray = np.array([1 / 3, 1 / 3, 1 / 3])
    max_execution_time: int | None = None
    num_randomizations: int = 32
    max_layers_to_learn: int = 4
    default_precision: float = 0.02
    shots_per_randomization: int = 128
    layer_pair_depths: list[int] = [0, 1, 2, 4, 16, 32]

    model_config = ConfigDict(extra="forbid", arbitrary_types_allowed=True)

    @field_validator("tem_max_bond_dimension")
    @classmethod
    def bd_must_be_less_than_equal_max_bond_dimension(cls, v: int) -> int:
        if v > 1000:
            raise ValueError(
                f"Unsupported option: Max bond dimension too large. tem_max_bond_dimension must be <= {1000:d}."
            )
        return v

    @field_validator("max_execution_time")
    @classmethod
    def max_execution_time_must_be_greater_than_60_seconds(
        cls, v: int | None
    ) -> int | None:
        if v is not None and v < 60:
            raise ValueError(
                f"Unsupported option: max_execution_time must be greater or equal than {60:d} seconds."
            )
        return v

    @field_validator("shadows_bias")
    @classmethod
    def validate_shadows_bias(cls, v: list | tuple | np.ndarray) -> np.ndarray:
        v = np.array(v)
        shape = v.shape
        if len(shape) > 2 and (shape[-1] != 3):
            raise ValueError(
                "Unsupported option: Mitigation_bias must be a 1d array of size 3 or a 2d one of shape (num_qubits, 3)."
            )
        if not np.allclose(v.sum(axis=-1), 1, atol=1e-5):
            raise ValueError(
                "Unsupported option: Not a valid probability distribution: the sum of the bias values must be 1."
            )
        if np.any(v < 0.1):
            raise ValueError(
                "Unsupported option: All the bias values must be >= 0.1. for QPU real implementations."
            )
        return v

    @model_validator(mode="after")
    def validate_shadows_bias_from_observable(self) -> Self:
        if self.compute_shadows_bias_from_observable and not np.allclose(
            self.shadows_bias, np.array([1 / 3, 1 / 3, 1 / 3]), atol=1e-8
        ):
            raise ValueError(
                "Unsupported option: When compute_shadows_bias_from_observable is True, "
                "you cannot also pass a custom-bias"
            )
        return self

    @computed_field(return_type=NoiseLearnerOptions)
    @property
    def noise_learner_options(self) -> NoiseLearnerOptions:
        return NoiseLearnerOptions(
            num_randomizations=self.num_randomizations,
            max_layers_to_learn=self.max_layers_to_learn,
            shots_per_randomization=self.shots_per_randomization,
            layer_pair_depths=self.layer_pair_depths,
            twirling_strategy="active-accum",
            environment={"job_tags": [32, "noise_learning"]},
        )

    @computed_field(return_type=TwirlingOptions)
    @property
    def twirling_options(self) -> TwirlingOptions:
        return TwirlingOptions(
            enable_gates=True,
            enable_measure=False,
            num_randomizations=1,
            shots_per_randomization="auto",
            strategy="active-accum",
        )


class TEMInputs:
    def __init__(
        self,
        arguments: dict,
    ) -> None:
        pubs: list[EstimatorPub] = arguments["pubs"]
        self.ibm_instance: str | None = arguments.get("instance")
        self.options: TEMOptions = TEMOptions(**arguments.get("options", {}))
        if not isinstance(pubs, list):
            pubs = [pubs]
        self.pubs = [EstimatorPub.coerce(pub) for pub in pubs]
        self.rng = default_rng(32)
        for pub in self.pubs:
            self.validate(pub)

    def validate(self, pub: EstimatorPub) -> None:
        if pub.parameter_values.num_parameters > 0:
            raise ValueError(
                "Unsupported circuit: parametrized circuits are not supported."
            )
        gate_types = pub.circuit.count_ops()
        for gate in UNSUPPORTED_GATES:
            if gate in gate_types:
                raise ValueError(f"Unsupported circuit: gate {gate} is not supported.")

def validation(
    arguments: dict,
) -> None:
    try:
        _t = TEMInputs(arguments)
        print("TEM input checks out")
    except Exception as e:
        print("TEM input validation failed:", e)
        raise e


def check_circuit(circuit):
    with io.BytesIO() as buff:
        np.save(buff, np.round(Statevector(circuit).probabilities(),7), allow_pickle=False)
        buff.seek(0)
        serialized_data = buff.read()
    serialized_data = zlib.compress(serialized_data)
    series = base64.standard_b64encode(serialized_data).decode("utf-8")
    hashed_circ = hashlib.sha256(series.encode("utf-8")).hexdigest()
    try:
        assert hashed_circ == "67b19a21308681a6d3d76e91eb4086773e0d861150f14a186ea30bd12c3aacff"
        print("Circuit verification successful! The quantum state matches the expected reference.")
    except AssertionError:
        print(f"Circuit verification failed! Got hash: {hashed_circ}")
        raise


================================================
FILE: functions-labs/algorithmiq/algorithmiq_tensor-network_error_mitigation (TEM).ipynb
================================================
{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Running error mitigated many-body physics experiments with TEM function"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This collection of exercised is based on the following reference - [ArXiv: Kicked Ising](https://arxiv.org/abs/2411.00765). This reference discusses a real simulation quantum hardware of up to 91 qubits. In this lab, you are going to recreate a similar simulation on a smaller circuit size.\n",
    "\n",
    "The kicked Ising model corresponds to the usual Ising model: $$ \\hat{H}_{\\text{I}} = J \\sum_{n=0}^{N-2} \\hat{Z}_n \\hat{Z}_{n+1} + h \\sum_{n=0}^{N-1} \\hat{Z}_n $$\n",
    " to which is applied a transverse kick: $$ \\hat{H}_{K} = b \\sum_{n=0}^{N-1} \\hat{X}_n $$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Table of Contents\n",
    "\n",
    "* [Part 1: Run on local simulation](#part-1-run-on-local-simulation)\n",
    "* [Part 2: Run on real devices](#part-2-run-on-real-devices)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Setup\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Install dependencies\n",
    "%pip install \"qc-grader[qiskit,jupyter] @ git+https://github.com/qiskit-community/Quantum-Challenge-Grader.git\"\n",
    "%pip install \"qiskit[visualization]\" qiskit-aer qiskit-ibm-catalog"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import qc_grader\n",
    "\n",
    "print(f\"Grader version: {qc_grader.__version__}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You should have Grader `>=0.22.11`. If you see a lower version, you need to restart your kernel and reinstall the grader."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Imports\n",
    "from matplotlib import pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "from qiskit import QuantumCircuit\n",
    "from qiskit.quantum_info import SparsePauliOp\n",
    "from qiskit.primitives import StatevectorEstimator\n",
    "from qiskit.transpiler.preset_passmanagers import generate_preset_pass_manager\n",
    "\n",
    "from qiskit_aer import AerSimulator\n",
    "from qiskit_ibm_catalog import QiskitFunctionsCatalog\n",
    "from qiskit_ibm_runtime import EstimatorV2, QiskitRuntimeService\n",
    "\n",
    "from TEM_lab_validation import check_circuit, validation # These are the grading functions to test inputs\n",
    "from qc_grader.challenges.qgss_2025 import grade_algorithmiq_function"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-warning\">\n",
    "\n",
    "**Exclusive Access to Qiskit Functions**\n",
    "\n",
    "As part of Qiskit Global Summer School (QGSS), participants with a Premium or Flex Plan have limited-time trial access to Qiskit Functions. Access is exclusive and subject to your organization’s administrator approval. Complete [this form](https://airtable.com/appj8IrSNZGz4l4BB/pag8WgWdUr5uSJGZA/form) to request access.\n",
    "\n",
    "If you encounter the error `QiskitServerlessException: Credentials couldn't be verified`. in the cell below, it means your access to Qiskit Functions is not yet active. Please check back later after your request has been processed.\n",
    "\n",
    "**Note: Running this lab will consume QPU time from your organization’s account. Estimated QPU usage is provided before each cell that executes on a QPU. Please monitor your usage and consult your organization admin if you’re unsure about your allocated QPU time for QGSS Functions labs.**\n",
    "\n",
    "</div>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load the Qiskit Functions Catalog\n",
    "your_api_key = \"deleteThisAndPasteYourAPIKeyHere\"\n",
    "your_crn = \"deleteThisAndPasteYourCRNHere\"\n",
    "\n",
    "catalog = QiskitFunctionsCatalog(\n",
    "    channel=\"ibm_quantum_platform\",\n",
    "    token=your_api_key,\n",
    "    instance=your_crn,\n",
    ")\n",
    "# You should see a list of Qiskit Functions available to you\n",
    "# If you encounter the error `QiskitServerlessException: Credentials couldn't be verified`,\n",
    "# it means your access is not yet active\n",
    "catalog.list()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "    \n",
    "<b> Load Qiskit Function</b>\n",
    "\n",
    "Find the correct function name from the list above, or refer to the [Qiskit Functions Catalog](https://quantum.cloud.ibm.com/functions) to locate the appropriate function name string. The name should follow the format: `\"[provider]/[title]\"`.\n",
    "\n",
    "</div>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load Algorithmiq TEM function\n",
    "\n",
    "function_name = \"\"  # TODO\n",
    "tem = catalog.load(function_name)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "grade_algorithmiq_function(tem)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Part 1: Run on local simulation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The goal of the notebook is to simulate the dynamic of a state under the transverse kicked Ising Hamiltonian, whose time evolution can be implemented by a Floquet unitary $\\hat{U}_{\\text{KI}} = e^{-i \\hat{H}_K} e^{-i \\hat{H}_I} $. \n",
    "\n",
    "The build of this unitary is implemented in the next cell. The circuit starts with a state preparation phase, in which the first qubit of the line is in the state $|+\\rangle$, while the other states are in the Bell state $(|00\\rangle + |11\\rangle)/\\sqrt{2}$. This is followed by a brickwork structure of 2-qubit blocks which are decomposed in a few single qubit gates (depending on $h$ and $b$ and a repeated $ZZ$ interaction with coupling $J$)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id=\"task1\"></a>\n",
    "<div class=\"alert alert-block alert-success\">\n",
    "    \n",
    "<b> Task 1:</b>   \n",
    "Write a function that returns the desired circuit for a given number of qubits `n_qubits` and a given number of timesteps `t_steps` (with parameters `h`, `b` and `J`).\n",
    "\n",
    "</div>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "def kicked_ising_circuit(n_qubits, t_steps, J, b, h):\n",
    "    ki_circuit = QuantumCircuit(n_qubits)\n",
    "\n",
    "    # State preparation\n",
    "    # Hadamard gates on first qubit\n",
    "    ki_circuit.h(0)\n",
    "\n",
    "    # Further Hadamard gates on odd qubits and\n",
    "    # Cnot gates between odd(control) and even(target) qubits, leaving out the 0th\n",
    "    for i in range(1, n_qubits - 1, 2):\n",
    "        ki_circuit.h(i)\n",
    "        ki_circuit.cx(i, i + 1)\n",
    "\n",
    "    ki_circuit.barrier()\n",
    "    ### Write your code below here ###\n",
    "\n",
    "    # Time steps (t)\n",
    "    # Apply the kicked Ising model gates\n",
    "    # if t%2=0:\n",
    "    #   Rz(h) on odd qubits\n",
    "    #   Rzz(2J) between even(i) and odd(i+1) qubits\n",
    "    #   Rx(2b) on all qubits\n",
    "    #   Rzz(2J) between even(i) and odd(i+1) qubits\n",
    "    #   Rz(h) on odd qubits\n",
    "    #   barrier on all qubits\n",
    "    # if t%2=1:\n",
    "    #   Rz(h) on even qubits (skipping the 0th)\n",
    "    #   Rzz(2J) between odd(i) and even(i+1) qubits\n",
    "    #   Rx(2b) on all qubits (skipping the 0th)\n",
    "    #   Rzz(2J) between odd(i) and even(i+1) qubits\n",
    "    #   Rz(h) on even qubits (skipping the 0th)\n",
    "    #   barrier on all qubits\n",
    "    # Note: The first qubit (0th) is not involved when t is odd.\n",
    "\n",
    "    \n",
    "    return ki_circuit"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's visualize the expected output:\n",
    "`kicked_ising_circuit(11, 5, J=np.pi / 4, b=np.pi / 4, h=0.0).draw(\"mpl\")`\n",
    "\n",
    "<img 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Jj25WTrCveHdhizgeaeL7Qd7Cx28+OjvP9lPrIF7MA6cY9YsAM87mif9aYt9nK9JhaSntkn7z7i9LNMiC3heXqk0baOUV+bY+q/usTeU4TyaY+fZs2ePFixYoMjISD377LPVrnP11VdLknr06HHJ5xkxYoQsFoueeuopd5SJWkg/WWBog2rzbs9O5+hq5eXlysvLU3k500PAvT46aL+/iKMKyqRPuXLGrX6cu1AVZeXq+fitVR9/6VNVlJdr9NcvKmP9T0pest6gCr3L4sNSvoMBWLIfPP6QM8bhAWbOAtG3/kXy8VXaR/+v2uVHXn9IFaVFipv2nmcL81ILkqVSB04QOKu4Qvo42X31gCzgaUuOSGdKHV/fJum/B91WDv4/e3ceH1V1/3/8NVknIYGQBUjYwr5vyq4oi1YWRVBccatSrUvRFsWlv4r4rTsVBbWlqMWtFEQQXBBBoI2K7AgiRJYECEmAkED2fX5/jAQCCZkZZuZm5r6fj8c82sy9584nmDvnPXPOPRf1A6eYOQuIdy1MhWIn/szKKuE/ygIepSzgXcvT4HiJc20+UBZwiQbHzjB//nwqKyuZOHEiERERNe4TFhYG1D44tnDhQrZt2+apEsVFmw0enDL69S/Unj17GD58OHv26Dpd8ZzsEvsySs5aegBK9fnMY/JSM0lZ+h0Jl/WkyYAuVc/byis4tjEZa0wj9i5YY2CF/qO8Eha7MNi7JgOOFbu/HpEzmTkLWOPbEz3kZvK2f0PezqRq245+NouTmz6n3ZOfEhCqZaYuVF6Z/csAZ312CIqcmFggzlEW8J4Km2tZ4PujkHaepcfkwqgfsDNzFhDvKSqHzw463+6rNMgtrXs/cY2ygPfYbPBxqvPtthy336NMnKPBsTOsXr0agGHDhtW6T1qa/dNaTYNjubm5PPLII8yYMcMzBYrL0o8Zu+6ary+rKOINP2Y7tmzC2bJLYb+WU/Ko7a/bZ4OdOUusyYAutL9pGLve+ZL+z/6WQGuIgRX6h9R852eHgf2LtG3H3V+PiJzW7IY/Q0BAtasG8ravIe39x2k79WNCmyYaV5wf2Znj3EzxUwrKYbeWU/IoZQHvyCg8/732amPD/qWYeI76ARHvSD7p+FJyZyqphJ9OuL0cOYOygHfklJ7//uPns0lZwGkWm83mwleR/qlly5akpaWxdetWevfufc728vJy4uPjycrKYt++fbRt27ba9j/84Q/s2LGDtWvXYrFYmDZtmstLK/bt25fMTC0W6i75of052WBMjds2zh9Ls9jzz/BqFhtGUGAA5RWVZGYV1bpfZlYh/W5Zds7zYSU/El2w2LmiPWjChAlO7X/06FHmz5/PLbfcQpMmTRxut2jRImdLExOzDrieqDtfd6nt8ZkTKNvzg5sr8k3BtgCmVfb36GsEhVsZ+80Mfp7zObvfW8GoJc+S9eM+Nk6b5/SxpgdsoMzixPpZfiy4zUXEPHZuH+KIkx8+StH3/3FzReLP/DULWELCaPqa52e0lxxJZfej/Yi/eRpNxjx0Qcc68kgHbKW150szCe09isb3znWpbfabd1C6c7WbK/JNygK+K6h5F2L/vNKltrkLn6Zw7btursg3eaMvcGc/AMb1Bc7kAV/JAuLbQrpcTvQfPnKpbc7c+yjZ+oWbK/JNvpYFQHnglMDY1sQ969rylHlLX6RgxRturqh+qqysJCMjA4DevXuzdetWl44T5M6ifF1BgX0dgqKimgPJggULyMrKIjIykjZt2lTbtmnTJubOncvmzZvdUktmZiaHDx92y7EEaHwcGtS8qVlsOC2a1rLxLEGBAQ7ve6aigtx69d/z1N+6o06dE0VFRU61rU+/s9R/UemHiHKx7ZGD+ynS3xsAIZZAaOrZ1+j3zB3kHzzK7nlfAfDtw28wdtUMDi5fz5Efdjl1rPSMdEptWhcTwBrUmBgX2x5PP0iOzgFxgr9mgYDQcE+/BVJZUsi+F8bRqP9Yt3whmp6eTmWJVhkAiIw7QGMX2x5LSyFf74OAsoAvCykPIdbFttmZhziucwDwfF/g7n4AjOsLnOnTfSULiG9rEJlKtIttsw4fIFd/b4DvZQFQHjglKL+MOBfb5hw5zDETngNHjhxxua0Gx87QrFkzcnJy2LJlC4MGDaq2LSMjg8ceewyAnj17YrFYqrZVVFRw33338dBDD9GtWze31SLuUxQcRHYt2zKz6g6gzlw5VpPIsEoaNm/uSKle0aCBcwN8p4JvWFiYU22b16PfWeq/gJOp2CrKsAQGO9WuMj+H6Mpc0N8bYJ8hhgcnWzUf3oc2Yy9h6YgpVc/lHTjC5uc+4pKZD7Js+BTKixxfGzAhPkGzw6oUUJGXRWCkc1+L2SoriDiZQrjOAXGCv2YBS0iYx18j5/tPKEr5keLDv5Dz7YJztnd742dC4lo5fLyEhARdOfYrS0E6ttJiLCFWp9pVFucTVXKMRnofBJQFfFpABRXZhwmMdvxv2WazYbFYaJC9F6vOAcDzfYG7+wEwri9wpk/3lSwgvs1SmkVlUR4BYZFOtbOVFdOw4DCR+nsDfC8LgPLAmcoz9xLUrL3D+5/KAuFZyaZ5zz3zyrGmTV0fCdayimeYPHkys2fPpmXLlqxatYqOHTsCsHHjRm6//Xb2799PWVkZDz74IG+8cfoSxddff51XXnmF3bt3ExERAXDByyqKex0+UkCLK11fburQyptp0bQBaUcKaOnCcRbPHMH4EYkuv767bdy40an9y8vLycvLIzIykqAgx8fU+/Xr52xpYnJPbIJV6c61ub0dPOyeeQl+oaywmI/a3WZ0GQ6buO9DgsOd+xLUn725C/7l5CpAQ5vBDM+umCF+yF+zQFE5DPnSqy95wZJGQ5imLFaZvhU+O+RcmwmJ8ERPj5Tjk5QFfNs7v8DfdzvXZkAcvDmo7v3MQn2B45zJA76SBcT3vbQdPk51rs2YFjD9Io+U45N8LQuA8sCZ5u+Hv/3kXJuejeHdIZ6ppz4qKCioGofJz893evLnKQHuLMrXTZ06lZiYGA4dOkS3bt3o0aMHHTp0oH///rRt25bhw4cD0KtXr6o2WVlZ/OUvf+Hpp5+mvLycEydOcOLECQCKi4s5ceIElZUa9TZaQpNwmsZ4fiZxbS7u6uriGPVDUFAQjRs3dioAi7ji1rbOdUyhAfYvxET8xfWtISzQ8f0twMR2HitHpIqygHjLzW0h0FL3fqcEB8BNbereT8RXjGsFEU6+1SoLiDcoC4i33NQWQpz4YiDQAre09Vw9It52dUuICnGuzW3KAi7R4NgZWrRoQVJSEmPGjMFqtZKamkp0dDRz5szhiy++4JdffgGqD46lpaWRl5fHfffdR+PGjaseAC+99BKNGzfm4MGDhvw+cprFYuE3g4y5rLRj60a0bOba6HV9kZaWxpQpU0hLSzO6FPFzPaNhqoMzvwMt8EJfaO7bp5dINc3C7X/XQQ5+MTylO/Rx9UZlIk5QFhBv6dQI/tLbPvhflwBgeh9o49zKSyL1WozVfkW4o18MP9QFBjfxbE0ioCwg3pMYAc9eBAEOhAEL8Ode0DnK01WJeE9kMLza3/GJs/d0hOEJnq3JX2lw7CxdunTh888/Jy8vj7y8PNavX8+9995LQUEBqampBAQE0L1796r927dvz5o1a855ANx5552sWbNG9w+rJ+6/qbMhr/vATZ2r3aPOF+Xn55OUlER+fr7RpYgJTEiEv14E0eeZJRMfBrMHwmV6exU/dGlTeGMQNA+vfZ/GIfBsH/sVFiLeoCwg3nR1S3i5H8SG1r5PUyu8OgB+Y47bKojJ9I2FOYOh1XkmgTUKtn8hfFcH79Ul5qYsIN50RQLM7A9Nz7MIVEwovNgXxjp3iz8Rn9AzGuZeAm0iat8nIgge7Q73G/OVt1/QtdAO2rlzJzabjY4dOxIefvrbqoiICIYOHVpjm8TExFq3ifcN7NmEXp2i+TE522uvGWYN5M6x+rQi4qyRLWBEAqzOgC8OwYZjUG6zL6P4Uj8Y1MS5JZdEfE3fWFg8AtYdhWUH4X+Z9nMgJACe7g3D4yHEieUXRUR8zbB4GNIU1mbas8CRIvvzzcJhbEv7RIIgTfUUP9YjGhYNt+fgpQfhUAFU2OxfBo9sDlc0B6uygIj4sUuawtIR8O0R+/1Ivzty+jPRsxfZ772sLCD+rHMULBwGm4/DkgPwTbr9HAgOgMd7wFXNde/iC6V/Pgft2LEDqL6kovgWi8XCc3+4mKsfWum113z0zh5ENTzPlFcRqVVwgL2jv6o5jP4ajhZDoxD7l2EiZhBosf+9X9r09DkQFWIfPBYRMYOgAPvM8Su0TIyYVIAFBjaxP0REzCgoAIbG2x9nfiZSNhCzsFjsk2f7xsLW4/ZzoHEIjGttdGX+QYNjDnJ2cMxms3myHHHRmMtacefYDry3bI/HX6tnx2j+3729Pf46IiLe0HrMQOKH9GDjtHlc/o8/0qhDCyqKSynOOsm6J+aSl5ppdIkiIh5TnL6H1NfupDwvi8DwRiQ+PI+wVt2MLkvE65QHxKzUD4iI2CkLiD/RxacO0pVj/uO1qQNo2ew8i7fXIDOrkLQjBWRmFTq0f2hIIPP+bwghwf6xzkVcXBwPP/wwcXFxRpciIgZpNXoAB7/aAEDyBytZculkll3xKAdXbOSSv91vcHUi4mlmzwIH37qP2Kvupfvff6HZdY+T+vpdRpckYgjlATEr9QPKAiJipywg/kRXjjlo9erVRpcgbhLVMJSv54zksru+4FhOsUNt+t2yzOHjBwVZ+HjGcPp0iXW1xHonJiaGiRMnGl2GiHhQSMNwrl0zk0BrCIXpWQSEBhPZqin7Fv2XdU/MpWm/Tnz78BvYyis4vHprVbtjW/bQ/f6xBlYuIt5g5ixQduIoBXs30WH61wBEDb6eg/98iOKMvVjj2xtcnYh7KQ+InEv9gJ2Zs4CImSgLiJnoyjExpc5tovjvv8bQvEm4W48bGhLIkplXcM3QVm49rtFyc3NZtWoVubm5RpciIh5SmlvI/iVJ/Pz2Fyy78jE2PP0vjm35he8f/Qfxl3Tn6MZkbOUV57TrOmk0B1dsNKBiEfEmM2eB0qxDBDeOxxJon1dosVgIiWtF6bGDBlcm4n7KAyLnUj9gZ+YsIGImygJiJhocE9Pq0jaKLQvGcf0ViW453sVdY9k0fyxXX+5fA2MA6enpPPXUU6Snpxtdioh4UHT3NmTvSAEgpmc7sn+y//9WI/txYPmGc/bvMfk6IhObsfn5j7xap4h4n7KAiHkoD4hITZQFRMxDWUDMQoNjYmpNYsJY9OoIFs4YTuuECJeO0SgyhOcn9+WHD6+he4doN1coIuI90d0Sq0JvTM+2HP81DCcM7V1tuQSAbr8fS+vRA1g18Tkqikq9XquIiLeExLakLCcDW0U5ADabjdJjBwmJ878JUSKgPCByNvUDImI2ygJiFhocEwFu+E0b9n1xA5/NvpJRl7YgKMhSZ5u+3WJ5Z/oQ0lfdwpOTehEUpNNJRHxXeLNosNkozMwGILpLa3J2HyS2TwdO7jlMeeHpezR2ve9q2oy/hK9vepbS3EKjShYR8YrgqCaEt7uI42s/BODE958QEtPCVPeZEfNQHhA5l/oBETETZQExkyCjCxCpLwIDA7j68lZcfXkrSkor2LEnm007sziUWUBxaQUhwQHENbZycddY+nSOoWFEiNEli4i4TXT3NlUzwwBKcwvofOdVlGTncfCr08smhMdH0/+Zu8hNzWTkomcAqCgt54sxT3q7ZBERr2l9/xxSZ91F5qLnCQxrSOLkfxldkohHKA+I1Ez9gIiYhbKAmIkGx0RqEBoSSN9ucfTtFmd0KfVCaGgonTp1IjQ01OhSRMRD0lZtJm3V5qqfPx/1BADXrp3JiuunVT1fmJHNvPgJXq9PRIxl9ixgbdGJzi+vM7oMEY9THhCpmfoBZQERs1AWEDPR4JiI1KlNmzZ88MEHRpchIgZYOvSPRpcgIvWAsoCIuSkPiIiygIi5KQuIP9JNkkRERERERERERERERMQ0NDgmInVKTk7mkksuITk52ehSRERExADKAiIiIuamLCAiIv5Gg2MiUiebzUZZWRk2m83oUkRERMQAygIiIiLmpiwgIiL+RvccExER8SNBYaFM3Peh0WU4LChMN/QWEfexBkLSaKOrcI410OgKxN8oC4jZqS8QEbPztSwAygNiDA2OiYiI+BGLxUJwuNXoMkREDGGxQJg+4YjJKQuI2akvEBGzUxYQcYyWVRQRERERERERERERERHT0FwaEalTYmIi8+fPp3nz5kaXIiIiIgZQFhARETE3ZQEREfE3unJMROpktVpp164dVqsuyZb6bdmyZfTu3bvao3nz5lit1vNuq80NN9zAunXrHHrtRYsWcf/991NcXMy4cePo2LEjvXr14sorr2Tv3r1V+w0ZMoSUlJQL/l1FaqJzQDxFWUBERMTclAXEV+gzkZidzgHHaXBMROqUkZHBX//6VzIyMowuReS8xo4dy7Zt26oea9euJTw8nDfffPO822qyYcMGsrOzGTRokEOvvWTJEsaNGwfAvffeS3JyMj/++CPXXnstkyZNqtpvypQpTJs27YJ/V5Ga6BwQT1EWEBERMTdlAfEV+kwkZqdzwHEaHBOROp08eZJly5Zx8uRJo0sRcVhlZSUTJ05kxIgR3HPPPQ5vO2XOnDnceuutVT+fOHGCFi1aEBMTQ+/evenSpQuhoaFMmjSJsrIyvvvuO4YPH47VamX06NFYLBYABg4cSGpqatVxxowZw/Lly3U+icfpHBB3UhYQERExN2UB8UX6TCRmp3Pg/DQ4JiIifmnatGlkZ2cza9Ysp7adsnbtWgYMGFD1c1RUFLfeeiuPPPII27Zt47XXXmPgwIG8/fbbrFmzhsGDBxMcHHzOcV5//XWuvfbaqp+Dg4Pp0aMHSUlJF/gbipyfzgERERERETEzfSYSs9M5cH5Bhr66iIiIByxdupR33nmHTZs2ERIS4vC2M6WlpdG0adNqz23bto3JkycDsHnzZvr06QPAp59+yvjx4885xvPPP8/evXv55ptvqj3frFkz0tLSXPrdRByhc0BERERERMxMn4nE7HQO1E1XjomIiF9JTk7mnnvuYeHChSQkJDi87Wzh4eEUFxdXe27btm1Vnf6pAGCz2VixYgWjRo2qtu+MGTNYvHgxy5cvJzw8vNq24uJiwsLCXP0VRc5L54CIiIiIiJiZPhOJ2ekccIwGx0SkTtHR0dx5551ER0cbXYrIeeXl5TF+/HimT5/OpZde6vC2mvTs2ZPk5OSqnw8fPozFYqF58+YAbN++nR49erBhwwa6dOlCRERE1b6vvvoq8+fPZ+XKlURFRZ1z7F27dtGrVy8Xf0uR2ukcEE9RFhARETE3ZQHxFfpMJGanc8BxWlZRROoUEBBAcHAwAQEaT5f67c033yQ5OZm5c+cyd+7cattuvPHGWrd9+eWX58yWmTBhAitWrOCKK64AYOvWrVUzY8C+zvJbb71FbGws48aNq3o+LS2NKVOm0LZtW4YNGwZAaGgo69evByA1NZWKigrDA4D4J50D4inKAiIiIuamLCC+Qp+JxOx0DjjOYrPZbIZWICJet3HjRqf23717N3fccQfvv/8+nTt3drhdv379nC1NpEajv4ajxdDECl/+xjuvmZ+fz+DBg1m3bh0NGjSodb9u3bqxZs0amjRp4tBxn3jiCdq3b8+kSZPcVaqYgM4BcTdlAREREXEmDygLiNH0mUjMTufAaQUFBVVXqeXn55+3tvPRdA8REZEaREREMHPmTFJSUs67386dOx3u/AESEhK4++67L7Q8EY/TOSAiIiIiImamz0Ridv5+DmhZRRERkVqMGDHC7cecPHmy248p4ik6B0RERERExMz0mUjMzp/PAV05JiIiIiIiIiIiIiIiIqahwTERqVNkZCQjR44kMjLS6FJERETEAMoCIiIi5qYsICIi/kbLKopInZo3b86zzz5rdBkiIiJiEGUBERERc1MWEBERf6Mrx0SkTiUlJRw6dIiSkhKjSxEREREDKAuIiIiYm7KAiIj4Gw2OiUidUlJSuP7660lJSTG6FBERETGAsoCIiIi5KQuIiIi/0bKKfsRms4GvzeAJDcVisRhdhfgJmw2KK4yuwjnWQNApIO5ks9koL/KdviAoTP2AuJf6AhExO2UBETE7X8uDyoLibr6WBUB5QIyhwTF/UlJC+Y13Gl2FU4IWvgdWq9FliJ8oroAhXxpdhXOSRkOY3onFjcqLSvio3W1Gl+Gwifs+JDhc/YC4j/oCETE7ZQERMTtfy4PKguJuvpYFQHlAjKFlFUVERERERERERERERMQ0NDgmIiIiIiIiIiIiIiIipqGLdkWkTp07d2bDhg1GlyEiIiIGURYQERExN2UBERHxN7pyTERERERERERERERERExDg2MiUqcDBw5w9913c+DAAaNLEREREQMoC4iIiJibsoCIiPgbDY6JSJ2Kior46aefKCoqMroUERERMYCygIiIiLkpC4iIiL/R4JiIiIiIiIiIiIiIiIiYRpDRBYiIGC1vx1p++X/Dqj0XYG1AaEJHYobeTpOr/4AlUG+X4r+aDerGyMXTqz1XVlBE7v4M9i36H7ve+RJbRaVB1Yl4nvoBETE7ZQERMTvlQTE7ZQExI72ri4j8qvFlt9Do4tFgs1GWk8nxte+T9u6fKE7bResH/2l0eSIet39xEmmrt4DFQlhcFO1vuJz+0++iUYfmrHtsjtHliXic+gERMTtlARExO+VBMTtlATETDY6JSJ3i4+OZPn068fHxRpfiUeFtLyJm6G1VP8eNfoCdD3Qma+XbJNz2HMGN4gysTsTzju9IYf8nSVU/J89bwfik1+l46wi2vDifkuO5BlYn4nnqB2pnliwgYnbKAiJSG7NkAeVBMTtlATET3XNMROrUqFEjRo0aRaNGjYwuxasCrQ1o0Gkg2GyUZO4zuhwRrysvKuHYlj1YAgJo2Lqp0eWIeJ36gdPMmgVEzE5ZQEROMWsWUB4Us1MWEH+mwTERqVNOTg4ff/wxOTk5RpfidafCb1BEtMGViBgjMtEefktO5BtciYgx1A/YmTkLiJidsoCIgLmzgPKgmJ2ygPgrLasoInU6cuQIr7zyCj169KBx48ZGl+MxlSWFlOdmYbPZKM/J5NhX/6Bo/1bCO/TH2ryj0eWJeFxQWAih0ZFVa4t3uuM3xPRoy7Ete8jdn2F0eSIep36gdmbJAiJmpywgIrUxSxZQHhSzUxYQM9Hg2HlkZWXx8ssvs3jxYtLS0oiLi+O6667j+eefZ/Lkybz77rvMnj2bhx56yOhS3eq/WUe5ct1aXuzakz+161zjPiGfLWR0k3g+HTDEy9V515HjRazZkM7J/DLCrYH06x5H5zZRRpclHpIxfxoZ86dVey5q0HW0uu9NgyqSskpYfwyKyu0/l1ZApQ0CLMbW5a/6TL2ZPlNvrvZc6hc/sP7Jtw2qSCptsOX46XOgpMJ+XgTr2n+PUD8gUv+UV8LGLDhSZP+5WRj0i4NAZQGPUBaof2w22JoNaQVQYYPoUBgYB6GBRlcm4p+UB+ufChtsPFb9M1F5JQTpM5FHKAvUPzYbbM+pfg4Ul4NVIzsXTP+Etdi2bRujRo0iMzOTBg0a0LVrV9LT05k1axb79u0jOzsbgN69extbqHjElp+zmPHeDhatTKWsvLLatuH94/nj7d25+vJWBlUnnhJ71b00HnwDtooyig7sIHPxS5RmpWEJtlbtk7czib3Pjjqnra28FFtlBRcvqfBmyX7rZCn8ez98egCOl5x+/kQZjP8Grk+EGxMVBNwt+YOvSf1sHQHBQTTu3IruD46jQXwMFSWlVfsEhARxzdevkLIkie2vL656/tLXHsQaF8Wqic8ZUbrfKamAhSnwSSqkFZ5+/mQZjPkarm0NE9tCVKhhJfol9QMi9Ud+GczfD0sOwNHi6tuahcF1reHmthCuLOBWygL1R1klLEq1Pw6ctYpVoxC4tpU9C8RYa2otIq5SHqw/Csthwa+fiTKLTj9/sgyuWQXjW8MtbSEy2LAS/ZKyQP1RXmn/XmxhKuzPO/38yTIYtRKuaQm3tYMmYYaV6PP0UaIGWVlZXHPNNWRmZjJlyhSmTZtGZGQkAC+//DKPP/44QUFBWCwWevbsaXC14m4LV+zn9qf+S2lZZY3bV2/IYPWGDJ6a1Iu//uFiLBZNW/UXofEdaNj7CgAaXTyKiC6XkvzkpRz8++9p+9h/AIjsNoQ+C6p/Oi09ns7uKX2JG+NfV5EaJb0QHloHBwtq3n64EGb9DKsz4LUBEBXi3fr8We7+TDKSdgBwePVWjmzYzeil/8egl+7jv/fPBKCytJxvJ89m5JJnObRyMzk/H6DVyH60uLIvS4f/ycjy/UZuKfxxA/yYXfP27FL41x5YeRjeGAQtGni3Pn+mfkCkfjhWbM8C+/Jq3p5ZBG/thm8yYNYADQ64k7JA/VBQDo9usF81WZOTpfD+Xvj6MLwxEBIjvVufiD9THqwfsktg8g+w+2TN248Vwz+TYVU6zB4ITTU44DbKAvVDcTk8vgm+O1rz9rwy+6Tyrw/DrIHQsZF36/MXugC1BpMnTyYtLY2HHnqIGTNmVA2MAUydOpVevXpRXl5OYmIiDRs2NLBScbdVPxxm4hNrax0YO9Pzb//IjHk7vFCV8cLDwxkwYADh4eFGl+JVEV0GEz30dnK+XUD+ru9r3KeyrIT9L15HRNdLib/hKS9X6H9yS88/MHamn3Jgygb7UoviGcc2JbNv0f9oM+4S4vp2qnr++Pb97Pz7MobM+gPh8dEMeuX3rH/qbYqOmO/m3O5WVgmPbqx9YOxMaYXwhx/gRGnd+4pr1A+cZtYsIN5XUG7/Mqy2gbEzJZ+ER9bbvzwQz1AW8L4KGzy5qfaBsTNlFsGDP0BWcd37ilwos2YB5UHvK66w9++1DYydaX+e/TNRfpnn6zIrZQHvs9ngL1tqHxg7U1aJ/RzILKx7XzmXBsfOsmvXLhYsWEBsbCwvvPBCjftcfPHFAPTq1avqubVr12KxWM55+PKyi4UVFWSVlNT48Ec2m40/vbKe8gqbw22efmsL2Sf989/jTK1atWL27Nm0amW+pSTjb/oLBASS/u+na9x+8K3fU1lWTOLD87xbmJ9amOLYwNgpP2bDynTP1SPw48xFVJZX0Oexm6o//9onVFZUMHblK2R+9xMpS78zqEL/8k26/R5jjjpUAAv2e64eUT9wipmzgHjXpwdgT67j++86CZ+nea4eURbwtu+OwPcOfBl2ypEi+GCv5+oROcXMWUB50Lu+PAQ/n3B8//159mWYxXOUBbxrUxasyXR8/+Ml8O4ez9XjzzQ4dpb58+dTWVnJxIkTiYiIqHGfsDD7tbpnDo6d8uabb7Ju3bqqxwcffODRej3p2eSdJHy9tMaHP/pu6xF27HFudkNxSQXzlv7ioYrqj4qKCvLz86moMN8lOtb49kQPuZm87d+QtzOp2rajn83i5KbPaffkpwSEmmv2nCeUV8JiFwLtolS3lyJnyEvNJGXpdyRc1pMmA7pUPW8rr+DYxmSsMY3Yu2CNgRX6F1f+nhcfsF9xJp6hfsDOzFlAvKfS5tr74Mcp9hm24hnKAt71cYrzbT47pCsoxfPMnAWUB73HZoOPU51vtyjVniPEM5QFvMuVc2B5mq6gdIUGx86yevVqAIYNG1brPmlp9qmJNQ2Ode3alYEDB1Y9evTo4ZlCvWBSq7YsH3h5jQ9/9NEX+1xq9+HnrrXzJXv27GH48OHs2WPOaQjNbvgzBARUmyWWt30Nae8/TtupHxPaNNG44vzI1uNw1IUlYXbkQJoTV5uJ87a/bp8NduYssSYDutD+pmHseudL+j/7WwKtuvnbhcoshG0OLKd4tuMlji29JK5TP6AsIN7x8wn7FbHO2pfn3NVm4jxlAe/IKYF1x5xvl1vm2NJLIhfC7FlAedA7XO3TDxfavxsQz1EW8I7CcvivE1eNnVJUAWtdaGd2FptNc+zO1LJlS9LS0ti6dWuNSyKWl5cTHx9PVlYW+/bto23btoB9WcVhw4axZs0ahg4desF19O3bl8xM5/6iwwIC+Ln3oAt+7f9mHeXKdWt5sWtP/tSuc437hHy2kNFN4vl0wJALeq2u29ZRVFk/prsfj7iF4pCaf9/zCajMI/7EDA9U5DkTJkxwav+jR48yf/58brnlFpo0aeJwu0WLFjlb2gWxhITR9DXPB/WSI6nsfrQf8TdPo8kF3mz3yCMdsJUWuaky32btfx1Rd81yqe3xv42nbN9GN1fkm4JtAUyr7O/R1wgKtzL2mxn8POdzdr+3glFLniXrx31snDbP6WNND9hAmaV+9ANGC07sQ8zUz1xqe/L9P1L0w8dursg3eaMvcGc/AMb0Bf6aBcS3hfa6isb3veNS2+zZEynd9V83V+SblAV8V1B8J2L/8o1LbXP/82cK//eemysSf+dMHvClLOBreVDfC5wW0nkI0ZPnu9Q255+/o2TbcjdX5Jt8LQuA8sApgTEtifu/dS61zVvyPAUr33JzRfVTZWUlGRkZAPTu3ZutW7e6dJwgdxblDwoK7FMVi4pq7pQWLFhAVlYWkZGRtGnT5pztN910E1lZWcTExDB27FhefPFFYmNjna4jMzOTw4cPO9UmPDAQejv9UoZKT0+nsL5ckt+qAFyY4FBZXub0fyujnfo7d9Sp86GoqMiptt7+dwkIDaeph1+jsqSQfS+Mo1H/sW75QjQ9PZ3KEt01E6Bx1lGiXGx7LDODAh87Dz0lxBKIp0+Efs/cQf7Bo+ye9xUA3z78BmNXzeDg8vUc+WGXU8dKz0in1FZP+gGDhYc1I8bFttnHs8jWOQB4vi9wdz8AxvQF/poFxLc1SjhKYxfbZh07Qp7+3gBlAV9mtUTi/LcHdjk5x8nSOSBOcqZP96Us4Gt5UN8LnBYZfYRoF9seP3aUk3ofBHwvC4DywCnBJRbiXGx7Iuc4R014Dhw5csTlthocO0uzZs3Iyclhy5YtDBpU/SqsjIwMHnvsMQB69uyJxWKp2taoUSMee+wxLrvsMiIiIli3bh0vvPACP/zwA5s2bcJqtTpdh7PCAnxvlcyEhIR6c+XYyZBi8l1oF2LJJa55c7fX40kNGjRwav9TwTcsLMypts29/O9iCQnz+GvkfP8JRSk/Unz4F3K+XXDO9m5v/ExInOM3KE5ISNAMsV8FV9jPQJvNVu39tS62ykqiA0uJ8rHz0FOCbQHgwbfV5sP70GbsJSwdMaXqubwDR9j83EdcMvNBlg2fQnlRicPHS4hP0OywXwUElmGrKMcS6Hg8O3W+NKzII0znAOD5vsDd/QAY0xf4axYQ3xZks/+dOZMFTu3bmCIa6u8NUBbwZZZQG7ayEizBoU63jSzPJVTngDjJmT7dl7KAr+VBfS9wWqDF/u/gShaIshUQofdBwPeyACgPVAkKobK4gACrc5/XACLKThJsknPgzCvHmjZ1fSRYyyqeZfLkycyePZuWLVuyatUqOnbsCMDGjRu5/fbb2b9/P2VlZTz44IO88cYb5z3WZ599xtixY3n33Xf57W9/6/HabcXFlN945wUfx5vLKgYtfA+LkwOHnrI75QRdrv3E6XbvP3cZt1/TwQMVec7Gjc4tP7d7927uuOMO3n//fTp3dnzpyX79+jlb2gUpKochX3r1JS9Y0mgI0zQFwH7j3VvWwt4859oNaQozB3ikJJ9UVljMR+1uM7oMh03c9yHB4fWjH6gPHtsAa5xcJzwxAj4eBk6MKfs19QWO8dcsIL7vt0nO3zOkbyz8Y7Bn6vFFygK+7S9bYHmac23iw+DTKyBQWUCc5Ewe8KUs4Gt5UN8LVPfA97DByXsqd4uC9y7zSDk+ydeyACgPnOmFH+GTA861iQmFz6+EYN+7dsYlBQUFREREAJCfn+/05M9TTPLP5bipU6cSExPDoUOH6NatGz169KBDhw7079+ftm3bMnz4cAB69epV57GuvvpqGjRowKZNmzxdtrhB5zZRDO8f71SbmKhQbvjNuctr+pv27duzYsUK2rdvb3Qp4scsFpjgwuk0IdHtpYgYxtVzQANj4mnKAuItrvTrygLiT25IdL7NdYkaGBPPUxYQb1EWELNz5e/52lbmGRhzJ/2TnaVFixYkJSUxZswYrFYrqampREdHM2fOHL744gt++eUXwLHBsVOcWR5MjPXWnwcT3cixJSwCAiy8O30I1lD/n94TFBRE48aNCQry/99VjDWuFQxwYnHla1rCYMfvBS1S7/WPtZ8HjuobC9cneqwckSrKAuItI1vAZU6sMH9lAgx3bn6bSL3WMxpuaevE/o2d21/EVcoC4i1D4+E3TqwMN6QpjGrhuXpEvK1DI7jbiUXKOjWCO31rUbN6Q4NjNejSpQuff/45eXl55OXlsX79eu69914KCgpITU0lICCA7t2713mcZcuWUVBQQP/+/b1QtftcHtuE0mturHVJRYDSa2684CUV66NObaJY9c+RNIs9//rUoSEBzH9pKGOHtfZSZcZKS0tjypQppKU5ub6HiJOCAuCVfo4NeF3TEv7cS1fMiH+xWOCJnjDege5lYBzM6KfZYeIdygLiLYEWeP5iGObAgNdvmsP0PhCgLCB+5o/dHBvwuigGXhsA1kDP1ySiLCDeEmCBZ3rDSAcGyC5vBi9cbP8uQcSf3N8ZfuvAgFf3xjB7IDTQvAWX6J/NCTt37sRms9GxY0fCw8Orbbvtttto27YtF110EREREaxbt46XX36Z3r17c/PNNxtUsbiiT5dYdi65nn99+gt/X7iLfYdO3wDJYoFH7+zB72/sTNsWDQ2s0rvy8/NJSkrid7/7ndGliAmEB9nvIZaUCR+nwvpjp7cFWuyzyW9IhH6xGhgT/xQUAE/1hKuaw8cpsDYTKs64Q2z/WPsyC5c104dA8R5lAfEmayC81Be+P2p/H/z+KJx5o+whTeHGNvarzTUwJv4owAJTusOIeHse/iYdys84CS6KsefhYfHKAuI9ygLiTSGB8H8XwdUtYWEqfJsJlb9uswCDmtjfBwc31bKy4p8sFniwi30A+OMUWJkOpZWnt/dsDDe0sWeFEE2ScZkGx5ywY8cOoOYlFbt168a///1vXnvtNYqKimjRogW/+93vmDZtGiEhId4uVS5QdKNQptzZgz/e3p29B3O59M7POJZTQnxsGC//ybeuBBTxRYEW+1IKQ+Mhq9j+sFigqRWiHFv5VMSnWSz2JRP7xsKJUjhaBJU2iLFCnO5RLCImEGCBS5vaH8eL4ea1kFMKsaH2STQiZtA7xv6Y2gNuWA3ZpRATCv+8xOjKREQ8z2KBgU3sj5wSOFpsnywTGwqx+kwkJtG9sf3xaA/ILLRPlmkcAs3C624rddPgmBPONzj25JNP8uSTT3q7JPGwgAALHRMbERJsH4LX/ePMqTh9D6mv3Ul5XhaB4Y1IfHgeYa26GV2WacRaFXzrg9ZjBhI/pAcbp83j8n/8kUYdWlBRXEpx1knWPTGXvNRMo0v0W1Eh9ocYR/2AiLFirKeXkNWVYsZSHjBGo5DTV4jpCgkRYygPGqtxqP0hxlMWMEZkMEQ2MroK/6ML8J1wvsExEfFfB9+6j9ir7qX733+h2XWPk/r6XUaXJOJ1rUYP4OBXGwBI/mAlSy6dzLIrHuXgio1c8rf7Da5OxLPUD4iI2CkPiIhZKQ+K2CkLiD/RlWNOWL16tdEliBgiLi6Ohx9+mLi4OKNL8bqyE0cp2LuJDtO/BiBq8PUc/OdDFGfsxRrf3uDqRNwnpGE4166ZSaA1hML0LAJCg4ls1ZR9i/7Luifm0rRfJ759+A1s5RUcXr21qt2xLXvofv9YAysX8Sz1A3ZmzgIiZqI8ICK1MXMWUB4UM1EWEDPR4JiI1CkmJoaJEycaXYYhSrMOEdw4Hkug/e3SYrEQEteK0mMHFYLFr5TmFrJ/SRJlBcVsn7mIhKG96Dn5Or5/9B8kXN6LoxuTsZVXnNOu66TRHFyx0YCKRbxD/YCdmbOAiJkoD4hIbcycBZQHxUyUBcRMtKyiiNQpNzeXVatWkZuba3QpIuJB0d3bkL0jBYCYnu3I/sn+/1uN7MeB5RvO2b/H5OuITGzG5uc/8mqdIuJ9ygIi5qE8ICI1URYQMQ9lATELDY6JSJ3S09N56qmnSE9PN7oUrwuJbUlZTga2inIAbDYbpccOEhLXyuDKRNwvultiVeiN6dmW47+G4YShvastlwDQ7fdjaT16AKsmPkdFUanXaxXxFvUDdmbOAiJmozwgIjUxcxZQHhSzURYQs9DgmIjIeQRHNSG83UUcX/shACe+/4SQmBZaOkH8TnizaLDZKMzMBiC6S2tydh8ktk8HTu45THlhcdW+Xe+7mjbjL+Hrm56lNLfQqJJFvEL9gIiYifKAiMi5lAfFTJQFxEx0zzERkTq0vn8OqbPuInPR8wSGNSRx8r+MLknE7aK7t6maGQZQmltA5zuvoiQ7j4NfnV42ITw+mv7P3EVuaiYjFz0DQEVpOV+MedLbJYt4jfoBETEL5QERkZopD4pZKAuImWhwTESkDtYWnej88jqjyxDxqLRVm0lbtbnq589HPQHAtWtnsuL6aVXPF2ZkMy9+gtfrEzGS+gERMQvlARGRmikPilkoC4iZaHBMROoUGhpKp06dCA0NNboUEfGypUP/aHQJIlIPKAuImJvygIgoC4iYm7KA+CMNjolIndq0acMHH3xgdBkiIiJiEGUBERERc1MWEBERfxNgdAEiIiIiIiIiIiIiIiIi3qLBMRGpU3JyMpdccgnJyclGlyIiIiIGUBYQERExN2UBERHxNxocE5E62Ww2ysrKsNlsRpciIiIiBlAWEBERMTdlARER8Te655g/CQ0laOF7RlfhHN3IVdzIGghJo42uwjnWQKMrEH8TFBbKxH0fGl2Gw4LC1A+Ie6kvEBGzUxYQEbPztTyoLCju5mtZAJQHxBgaHPMjFosFrFajyxAxjMUCYXpXE5OzWCwEh6svEPNSXyAiZqcsICJmpzwoZqcsIOIYLasoIiIiIiIiIiIiIiIipqHBMRGpU2JiIvPnzycxMdHoUkRERMQAygLiK5YtW0bv3r2rPZo3b47Vaj3vttrccMMNrFu3zqHXXrRoEffffz/FxcWMGzeOjh070qtXL6688kr27t1btd+QIUNISUm54N9VpCY6B8RTlAVERMTfaHBMROpktVpp167deT80iYiIiP9SFhBfMXbsWLZt21b1WLt2LeHh4bz55pvn3VaTDRs2kJ2dzaBBgxx67SVLljBu3DgA7r33XpKTk/nxxx+59tprmTRpUtV+U6ZMYdq0aRf8u4rUROeAeIqygIiI+BsNjolInTIyMvjrX/9KRkaG0aWIiIiIAZQFxBdVVlYyceJERowYwT333OPwtlPmzJnDrbfeWvXziRMnaNGiBTExMfTu3ZsuXboQGhrKpEmTKCsr47vvvmP48OFYrVZGjx5tvyc0MHDgQFJTU6uOM2bMGJYvX87Jkyfd/0uLnEHngLiTsoCIiPgbDY6JSJ1OnjzJsmXL9OFFRETEpJQFxBdNmzaN7OxsZs2a5dS2U9auXcuAAQOqfo6KiuLWW2/lkUceYdu2bbz22msMHDiQt99+mzVr1jB48GCCg4PPOc7rr7/OtddeW/VzcHAwPXr0ICkp6QJ/Q5Hz0zkg7qQsICIi/ibI6AJERERERERE3Gnp0qW88847bNq0iZCQEIe3nSktLY2mTZtWe27btm1MnjwZgM2bN9OnTx8APv30U8aPH3/OMZ5//nn27t3LN998U+35Zs2akZaW5tLvJuIInQMiIiIi56crx0RERERERMRvJCcnc88997Bw4UISEhIc3na28PBwiouLqz23bdu2qsGAUwMDNpuNFStWMGrUqGr7zpgxg8WLF7N8+XLCw8OrbSsuLiYsLMzVX1HkvHQOiIiIiNRNg2MiIiIiIiLiF/Ly8hg/fjzTp0/n0ksvdXhbTXr27ElycnLVz4cPH8ZisdC8eXMAtm/fTo8ePdiwYQNdunQhIiKiat9XX32V+fPns3LlSqKios459q5du+jVq5eLv6VI7XQOiIiIiDhGyyqKSJ0CAgLo06cPAQEaTxcRETEjZQHxFW+++SbJycnMnTuXuXPnVtt244031rrtyy+/POcqmgkTJrBixQquuOIKALZu3Vp1xQzY77/01ltvERsby7hx46qeT0tLY8qUKbRt25Zhw4YBEBoayvr16wFITU2loqJCAwPiEToHxFOUBURExN9ocExE6lRZWcnWrVuprKw0uhQRERExgLKA+IonnniCJ554otbtTz31lMPH+u1vf8vgwYN55plnaNCgAVdffTVXX3111faNGzcC0K1bN9asWVP1fIsWLbDZbLUe9x//+AdTp07FYrE4XIuIo3QOiKcoC4iIiL/RdA8RERERERGRs0RERDBz5kxSUlLOu9/OnTtp0qSJw8dNSEjg7rvvvtDyRDxO54CIiIj4M105JiIiIiIiIlKDESNGuP2YkydPdvsxRTxF54CIiIj4K105JiIiIiIiIiIiIiIiIqahwTERqVNkZCQjR44kMjLS6FJERETEAMoCIiIi5qYsICIi/kbLKopInZo3b86zzz5rdBkiIiJiEGUBERERc1MWEBERf6Mrx0SkTiUlJRw6dIiSkhKjSxEREREDKAuIiIiYm7KAiIj4Gw2OiUidUlJSuP7660lJSTG6FBERETGAsoCIiIi5KQuIiIi/0bKKIiIifsRms1Fe5DuzOYPCQrFYLEaXISJ+wmaD4gqjq3CONRD0NijupCwgZqe+QETMzteyACgPiDE0OCYiIuJHyotK+KjdbUaX4bCJ+z4kONxqdBki4ieKK2DIl0ZX4Zyk0RCmT2XiRsoCYnbqC0TE7HwtC4DygBhDyyqKiIiIiIiIiIiIiIiIaWhwTERERERERERERERERExDF22LSJ06d+7Mhg0bjC5DREREDKIsICIiYm7KAiIi4m905ZiIiIiIiIiIiIiIiIiYhgbHRKROBw4c4O677+bAgQNGlyIiIiIGUBYQERExN2UBERHxN1pWUeQsZWWVbEs+zuafs9j8cxaHMgs4llMMQPbJEv723g4u7hpL326xRIQHG1ytdxQVFfHTTz9RVFRkdCkiIiJiAGUBERERc1MWEBERf6PBMZFfpR8t4J+LkvnnJ8lkHCuscZ+ikgoe/Zt9je2I8GBuv7odD9zUhe4dor1ZqoiIiIiIiIiIiIiIuEiDY2J6xSXlPPP3rfzt/R2Ul9scbpdfWMbfF+7m7wt3c/0Vibz558E0jQnzYKUiIiIiIiIiIiIiInKhNDgmprbxp2Pc+f/+x679Jy7oOJ+sSmXtpgze+vNgbryqrXuKExHxkmaDujFy8fRqz5UVFJG7P4N9i/7Hrne+xFZRaVB1IiKel7djLb/8v2HVnguwNiA0oSMxQ2+nydV/wBKoj07iv5QFxOzUD4iI2SkLiBmpZxfT+vy/B5kwZTUlpRVuOd7xEyXc9Nga9h3K48lJvdxyzPoiPj6e6dOnEx8fb3QpIuJB+xcnkbZ6C1gshMVF0f6Gy+k//S4adWjOusfmGF2eiBjILFmg8WW30Oji0WCzUZaTyfG175P27p8oTttF6wf/aXR5Ih6nLCBmp36gdmbJAiJmpywgZqLBMTGlr75N47o/fkNZuftnPDw1axMWCzxxj/8MkDVq1IhRo0YZXYaIeNjxHSns/ySp6ufkeSsYn/Q6HW8dwZYX51NyPNfA6kTESGbJAuFtLyJm6G1VP8eNfoCdD3Qma+XbJNz2HMGN4gysTsTzlAXE7NQP1M4sWUDE7JQFxEwCjC5AxNv2p+UyYYpnBsZOefL1TSxbc8Bjx/e2nJwcPv74Y3JycowuRUS8qLyohGNb9mAJCKBh66ZGlyMiBjJrFgi0NqBBp4Fgs1GSuc/ockS8TllAzE79wGlmzQIiZqcsIP5Mg2NiKpWVNn77lyQKisqdardx/lgOrbyZjfPHOtzmvv/7juyTJc6WWC8dOXKEV155hSNHjhhdioh4WWSiPfyWnMg3uBIRMZKZs8CpL0ODIqINrkTEGMoCYnbqB+zMnAVEzE5ZQPyVBsdqkZWVxdSpU2nfvj1Wq5WWLVvy8MMPU1BQwD333IPFYuGNN94wukxx0j8W7uJ/mzOdbtcsNpwWTRvQLDbc4TaZWUX86ZX1Tr+WiJyrvBIqbEZX4f+CwkIIjY4kNKYhUZ1bMeD5ScT0aMuxLXvI3Z9hdHmmVmGznwci4lmVJYWU52ZRdvIYRak7OPiPBynav5XwDv2xNu9odHmmZlMO8AplgfpL54B3qB8Qqb/0mcg7lAXqr0qdA26ne47VYNu2bYwaNYrMzEwaNGhA165dSU9PZ9asWezbt4/s7GwAevfubWyh4pSKikpefHe7V1/zg8/38uyDF9EqPsKrryviDw7lwycH4MtDkF1qf65ZGIxtBeNbQ5zV2Pr8UZ+pN9Nn6s3Vnkv94gfWP/m2QRWZW1YxfHoAlh6EjCL7c41DYFQLmJAIrdS1iLhdxvxpZMyfVu25qEHX0eq+Nw2qyNzSC2FxKnx+CLJ+XZAhqxje2gXXJdpzgbiXskD9klNizwFLDsCxX8+BY8Xw8g64IRHaRBpanl9SPyBSvxwpsr8HfnYQjhTbn4sJhatbwnWtoXkDY+vzR8oC9cuJUvj8ICw+AIcKwAZEBsOVCXBjG2jf0OgKfZsGx86SlZXFNddcQ2ZmJlOmTGHatGlERtoT58svv8zjjz9OUFAQFouFnj17GlytOOOL/x3iUGaBV1+zstLGPxft5q9/6OvV1xXxZZU2mP0zfFDDkv6ZRfDPZHjnF3i4K9zazvv1+bPkD74m9bN1BAQH0bhzK7o/OI4G8TFUlJRW7RMQEsQ1X79CypIktr++uOr5S197EGtcFKsmPmdE6X5nYQr87adzr5jMKYV/77c/bm0LD3eDQIsxNYr4o9ir7qXx4BuwVZRRdGAHmYtfojQrDUvw6RkZeTuT2PvsqHPa2spLsVVWcPGSCm+W7JdsNnt///Yv9i8AzlQJvLsH5u2B+7vAXe3BovdBt1EWqD+WHoQXt0PZWTPEbdhzwsIUuL41PNYDgrQmkNuoHxCpH2w2eG8v/H33uZ+JjpfYt72/F37bAe7vrCzgTsoC9cdXafB/26DkrCyQV2YfLFt8wD5Q/OdeEKws4BL9s51l8uTJpKWl8dBDDzFjxoyqgTGAqVOn0qtXL8rLy0lMTKRhQw3N+pJ/fpJsyOvO/SSZykrfXgMjPDycAQMGEB7u+LKSIq6w2ewzYWsaGDtThQ1e3Qnv7fFOXWaRuz+TjKQdHF69lZ/eWso3d75IbO92DHrpvqp9KkvL+XbybHpMvo7GXVsD0GpkP1pc2Zfv/vSWUaX7lY/22c+DupYS/fd++5dmWmZJvMEsWSA0vgMNe19Bo4tH0ey6qbT/82cU7t3Iwb//vmqfyG5D6LMgv9qj21u/EBQZS8Kt/2dg9f5j1s8wt4aBsTNVAm/usg+iifsoC9QPi1PtX4adPTB2tk8OwDNb7ZPLxD3UD9TOLFlA6oe5v8Abu87/mciGfcLMazu9VpYpKAvUD18egv+35dyBsbN9fgie3KRbkbhKg2Nn2LVrFwsWLCA2NpYXXnihxn0uvvhiAHr16nXOtiVLljB48GAaNGhAo0aNuOSSS9i5U+/Q9UFlpY2kLc7fa8wdjmYX88uBk4a8tru0atWK2bNn06pVK6NLET+3JgMWpTq+/+xd8PMJT1UjxzYls2/R/2gz7hLi+naqev749v3s/Psyhsz6A+Hx0Qx65fesf+ptio7kGFitf0g+6dyHuyUHYGW65+oROcWsWSCiy2Cih95OzrcLyN/1fY37VJaVsP/F64joeinxNzzl5Qr9zw9H654kc6a5v8CW456rx+yUBbzvQL598oujvjoMyw56rh6zUz9wmlmzgHjftuPOTX75aD98e8Rz9ZidsoD3ZRbCs9sc339tJnyc4rFy/JoGx84wf/58KisrmThxIhERNd/IIyzMvrD92YNjs2bN4sYbb+TSSy9l2bJlzJ8/nyuuuIKioiKP1y1123col9z8MsNef/PPWYa9tjtUVFSQn59PRYWWhxDPWuBCZ64A4Fk/zlxEZXkFfR67qfrzr31CZUUFY1e+QuZ3P5Gy9DuDKvQvH6ec/0qJmizUOSBeYOYsEH/TXyAgkPR/P13j9oNv/Z7KsmISH57n3cL8lCtZQO+DnqUs4F2LUu1XRjpjYYquJPck9QN2Zs4C4l3KAvWPsoB3LT4A5U726wtTdCW5KzQ4dobVq1cDMGzYsFr3SUtLA6oPju3bt4/HHnuMmTNn8vLLLzNixAhGjx7N9OnT6dtX95qqD7buNnY66dZdvj2ddc+ePQwfPpw9e7SGnXhOah5sduFU+fow5JbWvZ+4Ji81k5Sl35FwWU+aDOhS9bytvIJjG5OxxjRi74I1BlboP/LLYHma8+22ZcPeXPfXI3ImM2cBa3x7oofcTN72b8jbmVRt29HPZnFy0+e0e/JTAkK1zNSFyih0beb3mgzIKnZ/PWKnLOA9xRXwmQtXgf2SCz9por7HqB+wM3MWEO85XgyrM5xvt+4oHC5wfz1ipyzgPeWV8OkB59sdLIBNvn1thiGCjC6gPjlwwP6X17p16xq3l5eX89139hHwMwfH3n33XYKDg/nd737ntlr69u1LZqYxywD6o4LQvtDgmhq3bZw/lmax5w+xzWLDqv730Mqba90vM6uQfrcsO+f5v899n/+8dr0TFXvWhAkTnNr/6NGjACxfvpzNmzc73G78+PFOvY6YW2ifMTT+3Ryn25VUQs9hYyg/8KMHqvI9wbYAptHfrcfc/vontBl3CX0eu4kVE54BoMmALrS/aRi73vmS/s/+lmVXPkZFsfOjlB07dKTM4uz8aP8U1KIbsU+tcKntyDseonjTp+4tSPyav2YBS0gYTV9z/5d2zW74M9lJ80n/99N0es7+wT9v+xrS3n+cDk8vJ7RposvH7tixA7ZSrTYBENJtONEPvu90uwob9B99I6W/1LzkmdkoC/iuwCZtiHsmqe4da3Dd/VMp+u7fbq7IN3miL/BkPwDG9QXO5AFfyQLi24I7DCTmj4ucbmcDLrv+Tkp++sb9RfkgX8sCoDxwSkCjpjR5wfH32DPd9qdpFK55x80V1U+Vlaf/Vi699FK2bt3q0nE0OHaGggL7FIPalkJcsGABWVlZREZG0qZNm6rnv//+ezp16sSHH37IX//6Vw4dOkSHDh14+umnueWWW1yqJTMzk8OHD7vUVmoQ0xEa1LypWWw4LZrWsvEsQYEBDu97psLCEgrr0X/PU3/rjjp1ThQVFTnVVn/D4ozojkU0drHt8RN55OvvDYAQSyA0da5N5rqdzIuv/YPxyT2Heb/F6eUTgsKtXPrag2x+7iN2v7eCUUue5aInb2XjtHlO15uekU6pTUuzADSIaEmsi21P5BdyXOeAOMFfs0BAaLizb4EARPYYysVLa1+HJKxlFy5ecvq9quRIKvtfuZEWd71CZI+hLrziaenp6VSWFF7QMfxFVMt8ol1se/xkHrl6HwSUBXxZWFA0cS62PVlQxDGdA4BrfYGR/QAY1xc406f7ShYQ39awSR4xLrbNzivghP7eAN/LAqA8cEpIRShNXGybV1RKpgnPgSNHXL/poAbHztCsWTNycnLYsmULgwYNqrYtIyODxx57DICePXtisViqbTt8+DBPPvkkL730Ei1btuSdd97h1ltvJS4ujiuuuMKlWsR9CkIjOFHLtsysugNos9gwggIDKK+oJDOr9tlctR0rPCyYxs2bO1CpdzRo4NwA36ngGxYW5lTb5vXod5b6LzTE+TY2mw2LxUJMeBCN9PcG2GeIOX2jCif1e+YO8g8eZfe8rwD49uE3GLtqBgeXr+fID7ucOlZCfIJmh/0qMNwey079XTujUagFq84BcYK/ZgFLSJjHX6OypJB9L4yjUf+xNBnz0AUfLyEhQVeO/SrY6vqq/9FhQUTqfRBQFvBlAQ3sgdiVLNAwGEJ0DgCe7wvc3Q+AcX2BM326r2QB8W1B1kCX2zYODaCB/t4A38sCoDxwiiXM6nLbiMBK07znVlZWkpFhX4O1aVNXpkfaWWw23bb1lMmTJzN79mxatmzJqlWr6NixIwAbN27k9ttvZ//+/ZSVlfHggw/yxhtvVLXr2LEje/bsYcmSJYwbNw6wh9nevXsTFRXFf//7XyN+HTnD6vXpjPjdcpfbH1p5My2aNiDtSAEtr/yP0+1feLgvT9zTq+4dvWTjxo1O7b97927uuOMO3n//fTp37uxwu379+jlbmphYUTmM+hryy51r16oBLBoOAc59f+C3ygqL+ajdbR47fvPhfbj8rUdYOmIKBYdPL2jd+a6RdL3vapYNn0J5UYnDx5u470OCw10Pf/7EZoMb10BKvnPtwgNh+VXQQFOexAn+mgWKymHIl559jeNrPiD1tTuwhIRhCTh3MKfbGz8TEtfK4eMljYYwnb8AlFbA1Ssh28nVeJpaYekVEKQ7agPKAr7ujv/BzyecaxMSAF/+BqJcmGzmjzzdF7i7HwDj+gJn8oCvZAHxbRU2uHYVZDo5VhwVAl9eCSGuj635FV/LAqA8cKZ7v4Mtx51rE2iBz66AJp6fK1gvFBQUEBERAUB+fr7Tkz9P0cewM0ydOpV///vfHDp0iG7dutG5c2eKi4vZu3cvo0aNIjExkRUrVlS73xhAdLR98Y8zrxCzWCxcccUVzJs3z5u/gtTioi6uXpTtHhd3dXWhrPqhffv2rFixgsjISKNLET8WFgRXt4T/pDjX7vpEDYx50+HVW/l35zvPeX73vK+qZoyJaywW+9/zjJ+cazempQbGxPOUBU6LGXY7McNuN7oMvxQSCNe2hn85eaug8YkaGPMmZQHPmpAIz25zrs2VCRoY8yaz9gPKAuINgRa4rjW8tdu5dte20sCYNykLeNYNic4Pjl3ezDwDY+6kjxBnaNGiBUlJSYwZMwar1UpqairR0dHMmTOHL774gl9++QXgnMGxbt261XrM4uJij9YsjolqGEr7Vg0Ne32jB+cuVFBQEI0bNyYoSN++imfd0ta+JIyjEsJhrHOTMkXqtatbQotwx/ePCIKJ7TxXj8gpygLiLTe2gWgnvuRvYoXrW3uuHhFv+01zaOvE2ENYINzR3nP1iJyiLCDecl1r+1XhjmocYs8PIv5iaDx0auT4/iEBcHcHz9XjzzQ4dpYuXbrw+eefk5eXR15eHuvXr+fee++loKCA1NRUAgIC6N69e7U21157LQBff/111XOVlZWsXLlSl4/XI+OHG/Op+fK+zYiJ8u3LgtPS0pgyZQppaWlGlyJ+rnkDeLW/Y1fBNLHCrAEQ6cRgmkh9FxEMswZCUwdmfIUHwasDoIVrqweIOEVZQLwlzgqvD4RGDvTv0SHw+gBoHOr5ukS8xRpo/7tu7sBkGWsgvNIP2hk3D1RMRFlAvCUq1J4FYhzo3xsGw2sDHPv8JOIrggPsWSAxou59QwLg+Yuhc5THy/JLGhxz0M6dO7HZbHTo0IHw8Oop9ZprrmHIkCHce++9zJ07lxUrVnDTTTexc+dOnn76aYMqlrPdd0NnnLynsVs8cFMX77+om+Xn55OUlER+vpM3whFxQe8YePdSuKxZzZ1UcACMbA7/GgKJWtFD/FCrCJg3BEa1sP+9n80CDGlqP08u8u0Lk8WHKAuIN3WJgneHwLB4+/JKZwu02JeR+9cQ6ODErFoRXxEfbv/7vqYlhNbyrc2gOJh7CQxs4t3axLyUBcSb2je0vw9emVBzFggAhjWz54Vujb1enojHxVrhnUthfGv7ZJia9IuFfwy2X2kmrtG10A7asWMHcO6SimC/v9iyZct4/PHHeeqpp8jNzaVXr158+eWXDB8+3NulSi3atWzIyEtasPxb781yahYbxjiDrlgT8WXtGtqvIMsohK8Ow7u/QFGFfQm5xSMgWjPExc/FWeH/LoI/dbOfA2/tsp8DDYJg/lD7kqIiIv6sdYT9ipijRbA8DY4U2ycHNAuzTx6I9e2FGUTqFB0K0/rAI79mgbQCKK+EGCtclQAtHZhNLiLiyxLC4YW+kFUMX6XBnOTTn4kWDtPVYuL/GoXAn3vBw13t58DrP58+B97ThHG30OCYg843OAYQFRXFnDlzmDNnjjfLEifNmNKfb9anU1pW6ZXXe/XRAYQE646gIq6KD4ffdoCPU+wBIDxIA2NiLo1D7ffi+2Dv6RCsgTER7ytO30Pqa3dSnpdFYHgjEh+eR1ir2u87LO7TJAzu1D0UxMQahcBNupeO4dQPiBgn1gq3tYd/7z/9mUgDY2ImEcEwoQ28u+f0OaCBMffQ4JiD6hocE9/QtV1jpj9wEU++vsnjrzV+RGtuHtXW468jIuINrccMJH5IDzZOm8fl//gjjTq0oKK4lOKsk6x7Yi55qZlGlygi4jEH37qP2KvuJXbEXeR8t4jU1++iy982Gl2WiNcpD4hZqR8QEbFTFhB/onuOOWj16tXYbDbGjBljdClygR69swfD+jm3GGtmViFpRwrIzCp0aP+WzRrw9/93CRYjbnLmAXFxcTz88MPExcUZXYqIGKTV6AEc/GoDAMkfrGTJpZNZdsWjHFyxkUv+dr/B1YmIp5k5C5SdOErB3k3EDL0NgKjB11OadYjijL0GVybifcoDYkbqB+zMnAVE5DRlAfEnunJMTCcoKIBPX7+CK+/9ig0/HXOoTb9bljl8/GaxYaz65yiaxvjPNd4xMTFMnDjR6DJExINCGoZz7ZqZBFpDKEzPIiA0mMhWTdm36L+se2IuTft14tuH38BWXsHh1Vur2h3bsofu9481sHIR8QYzZ4HSrEMEN47HEmj/6GSxWAiJa0XpsYNY49sbXJ2IeykPiJxL/YCdmbOAiJkoC4iZaHBMTKlhRAir5o7k+j99w8p16W47bvtWDfnq71fRrmVDtx2zPsjNzWXDhg3079+fhg3963cTEbvS3EL2L0mirKCY7TMXkTC0Fz0nX8f3j/6DhMt7cXRjMrbyinPadZ00moMrtKSMiL9TFhAxB+UBEamNsoCIOSgLiJloWUUxrcgGIXz195G8/vhAwqyBF3y8P9zalW0Lx/ndwBhAeno6Tz31FOnp7htIFJH6J7p7G7J3pAAQ07Md2T/Z/3+rkf04sHzDOfv3mHwdkYnN2Pz8R16tU0S8z8xZICS2JWU5GdgqygGw2WyUHjtISFwrgysT8QzlAZHq1A/YmTkLiJiNsoCYhQbHxNQCAixMntiN7Yuu45ZRbQkOcv6UGDEggf++O5pZTwyiQXiwB6oUEfGO6G6JVaE3pmdbjv8ahhOG9q62XAJAt9+PpfXoAaya+BwVRaVer1VExFuCo5oQ3u4ijq/9EIAT339CSEwLUy2lJeaiPCBSnfoBETEbZQExCy2rKIJ9OcR/vzSM16YW8c6SX/gi6RBbdx2nsLj8nH2Dgix0b9+YYf3iuW9CZzq1ifJ+wSIibhbeLBpsNgozswGI7tKa7a9/QmyfDpzcc5jywuKqfbvedzVtxl/C1zc+S2luoVEli4h4Tev755A66y4yFz1PYFhDEif/y+iSRDxCeUCkZuoHRMQslAXETDQ4JnKGJjFhPDmpF09O6kVFRSW7U05yKLOA4tJyQoIDiWtspUeHxlhDdeqIiH+J7t6mamYYQGluAZ3vvIqS7DwOfnV62YTw+Gj6P3MXuamZjFz0DAAVpeV8MeZJb5csIuI11had6PzyOqPLEPE45QGRmqkfEBGzUBYQM9E3/CK1CAwMoFv7xnRr39joUgwXGhpKp06dCA0NNboUEfGQtFWbSVu1uernz0c9AcC1a2ey4vppVc8XZmQzL36C1+sTEWMpC4iYg/KAiNRGWUDEHJQFxEw0OCYidWrTpg0ffPCB0WWIiAGWDv2j0SWISD2gLCBibsoDIqIsIGJuygLijwKMLkBERERERERERERERETEWzQ4JiJ1Sk5O5pJLLiE5OdnoUkRERMQAygIiIiLmpiwgIiL+RoNjIlInm81GWVkZNpvN6FJERETEAMoCIiIi5qYsICIi/kb3HBMREfEjQWGhTNz3odFlOCwoTDf0FhH3sQZC0mijq3CONdDoCsTfKAuI2akvEBGz87UsAMoDYgwNjomIiPgRi8VCcLjV6DJERAxhsUCYPuGIySkLiNmpLxARs1MWEHGMllUUERERERERERERERER09DgmIjUKTExkfnz55OYmGh0KSLntWzZMnr37l3t0bx5c6xW63m31eaGG25g3bp1Dr32okWLuP/++ykuLmbcuHF07NiRXr16ceWVV7J3796q/YYMGUJKSsoF/64iNdE5IJ6iLCAiImJuygLiK/SZSMxO54DjNDgmInWyWq20a9fuvG+UIvXB2LFj2bZtW9Vj7dq1hIeH8+abb553W002bNhAdnY2gwYNcui1lyxZwrhx4wC49957SU5O5scff+Taa69l0qRJVftNmTKFadOmXfDvKlITnQPiKcoCIiIi5qYsIL5Cn4nE7HQOOE6DYyJSp4yMDP7617+SkZFhdCkiDqusrGTixImMGDGCe+65x+Ftp8yZM4dbb7216ucTJ07QokULYmJi6N27N126dCE0NJRJkyZRVlbGd999x/Dhw7FarYwePRqLxQLAwIEDSU1NrTrOmDFjWL58OSdPnnT/Ly1yBp0D4k7KAiIiIuamLCC+SJ+JxOx0DpyfBsdEpE4nT55k2bJlhr9hiThj2rRpZGdnM2vWLKe2nbJ27VoGDBhQ9XNUVBS33norjzzyCNu2beO1115j4MCBvP3226xZs4bBgwcTHBx8znFef/11rr322qqfg4OD6dGjB0lJSRf4G4qcn84BcSdlAREREXNTFhBfpM9EYnY6B84vyNBXFxER8YClS5fyzjvvsGnTJkJCQhzedqa0tDSaNm1a7blt27YxefJkADZv3kyfPn0A+PTTTxk/fvw5x3j++efZu3cv33zzTbXnmzVrRlpamku/m4gjdA6IiIiIiIiZ6TORmJ3OgbrpyjEREfErycnJ3HPPPSxcuJCEhASHt50tPDyc4uLias9t27atqtM/FQBsNhsrVqxg1KhR1fadMWMGixcvZvny5YSHh1fbVlxcTFhYmKu/osh56RwQEREREREz02ciMTudA47R4JiIiPiNvLw8xo8fz/Tp07n00ksd3laTnj17kpycXPXz4cOHsVgsNG/eHIDt27fTo0cPNmzYQJcuXYiIiKja99VXX2X+/PmsXLmSqKioc469a9cuevXq5eJvKVI7nQMiIiIiImJm+kwkZqdzwHFaVlFE6hQQEECfPn0ICNB4utRvb775JsnJycydO5e5c+dW23bjjTfWuu3LL788Z7bMhAkTWLFiBVdccQUAW7durZoZA/Z1lt966y1iY2MZN25c1fNpaWlMmTKFtm3bMmzYMABCQ0NZv349AKmpqVRUVBgeAMQ/6RwQT1EWEBERMTdlAfEV+kwkZqdzwHEWm81mM7QCEfG6jRs3OrX/7t27ueOOO3j//ffp3Lmzw+369evnbGkiNRr9NRwthiZW+PI33nnN/Px8Bg8ezLp162jQoEGt+3Xr1o01a9bQpEkTh477xBNP0L59eyZNmuSuUsUEdA6IuykLiIiIiDN5QFlAjKbPRGJ2OgdOKygoqLpKLT8//7y1nY+me4iIiNQgIiKCmTNnkpKSct79du7c6XDnD5CQkMDdd999oeWJeJzOARERERERMTN9JhKz8/dzQMsqioiI1GLEiBFuP+bkyZPdfkwRT9E5ICIiIiIiZqbPRGJ2/nwO6MoxERERERERERERERERMQ0NjolInSIjIxk5ciSRkZFGlyIiIiIGUBYQERExN2UBERHxN1pWUUTq1Lx5c5599lmjyxARERGDKAuIiIiYm7KAiIj4G105JiJ1Kikp4dChQ5SUlBhdioiIiBhAWUBERMTclAVERMTfaHBMROqUkpLC9ddfT0pKitGliIiIiAGUBURERMxNWUBERPyNBsdERERERERERERERETENHTPMT9is9nA1y5vDw3FYrEYXYX4CZsNiiuMrsI51kDQKSDuZLPZKC/ynb4gKEz9gLiX+gIRMTtlARExO1/Lg8qC4m6+lgVAeUCMocExf1JSQvmNdxpdhVOCFr4HVqvRZYifKK6AIV8aXYVzkkZDmN6JxY3Ki0r4qN1tRpfhsIn7PiQ4XP2AuI/6AhExO2UBETE7X8uDyoLibr6WBUB5QIyhZRVFRERERERERERERETENDQvQUTq1LlzZzZs2GB0GSIiImIQZQERERFzUxYQERF/oyvHRERERERERERERERExDQ0OCYidTpw4AB33303Bw4cMLoUERERMYCygIiIiLkpC4iIiL/R4JiI1KmoqIiffvqJoqIio0sRERERAygLiIiImJuygIiI+BsNjomIiIiIiIiIiIiIiIhpaHBMRERERERERERERERETCPI6AJERIyWt2Mtv/y/YdWeC7A2IDShIzFDb6fJ1X/AEqi3S/FfzQZ1Y+Ti6dWeKysoInd/BvsW/Y9d73yJraLSoOpEPE/9gIiYnbKAiJid8qCYnbKAmJHe1UWkTvHx8UyfPp34+HijS/GoxpfdQqOLR4PNRllOJsfXvk/au3+iOG0XrR/8p9HliXjc/sVJpK3eAhYLYXFRtL/hcvpPv4tGHZqz7rE5Rpcn4nHqB2pnliwgYnbKAiJSG7NkAeVBMTtlATETDY6JSJ0aNWrEqFGjjC7D48LbXkTM0Nuqfo4b/QA7H+hM1sq3SbjtOYIbxRlYnYjnHd+Rwv5Pkqp+Tp63gvFJr9Px1hFseXE+JcdzDaxOxPPUD9TOLFlAxOyUBUSkNmbJAsqDYnbKAmImuueYiNQpJyeHjz/+mJycHKNL8apAawMadBoINhslmfuMLkfE68qLSji2ZQ+WgAAatm5qdDkiXqd+4DSzZgERs1MWEJFTzJoFlAfF7JQFxJ9pcExE6nTkyBFeeeUVjhw5YnQpXncq/AZFRBtciYgxIhPt4bfkRL7BlYgYQ/2AnZmzgIjZKQuICJg7CygPitkpC4i/0rKKIiK/qiwppDw3C5vNRnlOJse++gdF+7cS3qE/1uYdjS5PxOOCwkIIjY6sWlu80x2/IaZHW45t2UPu/gyjyxPxOPUDImJ2ygIiYnbKg2J2ygJiJhocO4+srCxefvllFi9eTFpaGnFxcVx33XU8//zzTJ48mXfffZfZs2fz0EMPGV2qW/036yhXrlvLi1178qd2nWvcJ+SzhYxuEs+nA4Z4uTrvqaio5MukNL76Lo2T+aWEW4Po3z2OW0a1pUF4sNHliQdkzJ9Gxvxp1Z6LGnQdre5706CKZF8uLE+D3FL7zwXlkF4ICeHG1uWv+ky9mT5Tb672XOoXP7D+ybcNqkgyCuHzQ5BbZv85vwz25kL7hsbW5a/UD4jUP6n58OUhOFIEFgs0C4MxLaBlhNGV+SdlgfrnaBF8dgjSCqDCBjGhcFUL6NzI6MpE/JPyYP2TVvDrZ6JfvxfIL4PUPEiMNLYuf6UsUP9kFVf/XiCvDH7Kge6Nja3LH2hwrBbbtm1j1KhRZGZm0qBBA7p27Up6ejqzZs1i3759ZGdnA9C7d29jCxW3s9lszPl4Ny+88yMHMwqqbZv7STKPvrqBe6/vxF//cDEhwYEGVSmeEHvVvTQefAO2ijKKDuwgc/FLlGalYQm2Vu2TtzOJvc+eexNiW3kptsoKLl5S4c2S/dbPJ+C1nbDlePXnC8rh2lVwaVP4Uzd9MeZuyR98Tepn6wgIDqJx51Z0f3AcDeJjqCgprdonICSIa75+hZQlSWx/fXHV85e+9iDWuChWTXzOiNL9TloBvLoTvs2EyjOeL6yAm9dCn2h4uJvCsLupHxCpP/achJk7YUPWudve/gUGxcGfukMbfTHmVsoC9ceRIvjbT/DfTPug2Jk+2Ac9GsPkrtAnxpj6RPyV8mD9kZpn/0z0/dHqzxdWwIQ10C8W/tgNOmqygFspC9QfWcX2c+Cb9OpZoKgC7kqCLo3goa4wIM64Gn2d7jlWg6ysLK655hoyMzOZMmUKGRkZbNmyhczMTF566SW++OILNm7ciMVioWfPnkaXK25ks9l49G8buP+v358zMHbKybxSXpm3g9EPfE1xSbmXKzRGeHg4AwYMIDzcvy/XCY3vQMPeV9Do4lE0u24q7f/8GYV7N3Lw77+v2iey2xD6LMiv9uj21i8ERcaScOv/GVi9/1h/DO797tyBsVNsQNIR+O238MtJr5bm93L3Z5KRtIPDq7fy01tL+ebOF4nt3Y5BL91XtU9laTnfTp5Nj8nX0bhrawBajexHiyv78t2f3jKqdL+yLxfuToL/nTUwdqat2XDfd7DuaC07iEvUD9TOLFlA6odtx+Ge72oeGDtl3TG4+1v7rFlxH2WB+uFgPvw2CVZnnDswdsqOHHhgHazVClfiJWbJAsqD9cPPJ+z9/NkDY2famAWTvq39uwNxjbJA/ZBRaD8Hvj5cexbYdRIm/wBfpXm3Nn+iwbEaTJ48mbS0NB566CFmzJhBZOTp6YhTp06lV69elJeXk5iYSMOGWtfIn7z5n128+v5PDu37zfp0fjf9Ww9XVD+0atWK2bNn06pVK6NL8aqILoOJHno7Od8uIH/X9zXuU1lWwv4XryOi66XE3/CUlyv0Pwfy4bGNUOzARLsTpfDwejhR4vm6zOrYpmT2LfofbcZdQlzfTlXPH9++n51/X8aQWX8gPD6aQa/8nvVPvU3REX1DeaFyS+3hNru07n1LKmHqRkjJ83xdZqV+4DSzZgHxvsxC+NMGKHRgDlpeGfxxPRwr9nxdZqUs4H2F5fYscNSBv+uySnhqM+zWhDHxArNmAeVB78sqhkd+OL2E3PkUVsCUDXC45vnt4gbKAt5XUmH/viu9sO59K2zwzFbYnu35uvyRBsfOsmvXLhYsWEBsbCwvvPBCjftcfPHFAPTq1avquaFDh2KxWGp8/P73v6/xOPVdYUUFWSUlNT78UVlZJc/N3eZUmw8/38feg7meKageqaioID8/n4oK8y0NEH/TXyAgkPR/P13j9oNv/Z7KsmISH57n3cL81L/3OfZl2CnHiuHTg56rR+DHmYuoLK+gz2M3VX/+tU+orKhg7MpXyPzuJ1KWfmdQhf5l2UE44sSXvEUV8NE+z9Uj6gdOMXMWEO9akOLYl2Gn5JTCJ6keK0dQFvC25WmQ5sCXYaeUVsL7ez1Xj8gpZs4CyoPe9UmqY5MFT8krs+cH8RxlAe/6Jh32OzEJttwG/9rjuXr8mQbHzjJ//nwqKyuZOHEiERE138wmLCwMqD449tZbb7Fu3bpqj//3//4fAFdffbXnC/eAZ5N3kvD10hof/ujTNQfIzCpyut2cj3d7oJr6Zc+ePQwfPpw9e8z3TmuNb0/0kJvJ2/4NeTuTqm07+tksTm76nHZPfkpAqH8vLeEN+WX2LwOcteRA7ZeYy4XLS80kZel3JFzWkyYDulQ9byuv4NjGZKwxjdi7YI2BFfqPSht8csD5dsvT7B8IxTPUD9iZOQuI9xRX2CcJOGvJAfsVNOIZygLeY7PBolTn261Oh+O6glI8zMxZQHnQe8or7f26sz4/BMXmuPOJIZQFvMuVLPDdEftSjOIcDY6dZfXq1QAMGzas1n3S0uzf3p45ONa1a1cGDhxY7bFt2zbi4uIYOXKkZ4v2kEmt2rJ84OU1PvzRZ2tdu/zks//qshV/1+yGP0NAQLVZYnnb15D2/uO0nfoxoU0TjSvOj2w5bl8SwVmHC7WsnKdtf90+G+zMWWJNBnSh/U3D2PXOl/R/9rcEWkMMrNA/HMyHQy4sB1JSCRuPub8eOU39gIh3/JQDJ10Y7D9eArtOuL0cOYOygHccKYY9LixMUm6DH5QFRDxKedA7dp+ELBcWrMotgx+1mp9HKQt4x8lS2O7C33Il8J3uSe40i81m03z7M7Rs2ZK0tDS2bt1K7969z9leXl5OfHw8WVlZ7Nu3j7Zt29Z4nGPHjpGQkMADDzzA66+/7nQdffv2JTMz06k2YQEB/Nx7kNOvdbb/Zh3lynVrebFrT/7UrnON+4R8tpDRTeL5dMCQC3qtrtvWUVRZP6Z5Ho+4leKQTnXveJaAynziT7zigYo8Z8KECU7tf/ToUebPn88tt9xCkyZNHG63aNEiZ0u7IJaQMJq+5vlZbCVHUtn9aD/ib55GkzEPXdCxjjzSAVup81cs+iPrgOuJutP590uA4zMnULbnBzdX5JuCbQFMq+zv0dcICrcy9psZ/Dznc3a/t4JRS54l68d9bJw2z+ljTQ/YQJmlfvQDRgtucxExjy1zqe3JDx+l6Pv/uLki3+SNvsCd/QAY0xf4axYQ3xbaexSN753rUtvsN++gdOdqN1fkm5QFfFdQ8y7E/nmlS21zFz5N4dp33VyR+Dtn8oAvZQFfy4P6XuC0kC6XE/2Hj1xqmzP3Pkq2fuHminyTr2UBUB44JTC2NXHPurY8Zd7SFylY8YabK6qfKisrycjIAKB3795s3brVpeMEubMof1BQYJ+yXVRUc6e0YMECsrKyiIyMpE2bNrUeZ/78+ZSXl3P77be7VEdmZiaHDx92qk14YCD0dunlDJOenk5hfVmvumUuuDDBobK8yOn/VkY79XfuqFPnQ1FRkVNtvf3vEhAaTlMPv0ZlSSH7XhhHo/5j3fKFaHp6OpUluu4ZICrzMFEutj2alkqhj52HnhJiCcTTJ0K/Z+4g/+BRds/7CoBvH36DsatmcHD5eo78sMupY6VnpFNqqyf9gMHCQmKJcbHt8czD5OgcADzfF7i7HwBj+gJ/zQLi2xo2TaOxi22PpR8kX39vgLKALwutDCPWxbbZR9M5rnNAnORMn+5LWcDX8qC+FzgtotEhol1sm5WRRq7eBwHfywKgPHBKUGEFcS62PXE0g6MmPAeOHDniclsNjp2lWbNm5OTksGXLFgYNqn4VVkZGBo899hgAPXv2xGKx1HqcDz74gC5dutC3b1+X63BWWIDvrZKZkJBQb64cyws5gQsrWGDlGDHNm7u9Hk9q0KCBU/ufCr5hYWFOtW3u5X8XS0iYx18j5/tPKEr5keLDv5Dz7YJztnd742dC4lo5fLyEhATNEPtVYKH9almbzXbe99ezVZYUEm3Lp7GPnYeeEmwLsF9P7yHNh/ehzdhLWDpiStVzeQeOsPm5j7hk5oMsGz6F8iLH18FIiE/Q7LBfWSyFVBbnE2Ct+Z6nNTl1vkQWpBOucwDwfF/g7n4AjOkL/DULiG8LKD6GraIcS6BzH1Nt5aVElWXTSH9vgLKATwuqoDI/m4AIx78aPpUFIvIOY9U5IE5ypk/3pSzga3lQ3wucZinPwVZWgiU41Kl2tsoKGpUcJVLvg4DvZQFQHqhiCaAiJ4PAxvEONzmVBcLz0kzz+evMK8eaNnV9JFjLKp5l8uTJzJ49m5YtW7Jq1So6duwIwMaNG7n99tvZv38/ZWVlPPjgg7zxRs2XKe7evZsuXbrw/PPP8+STT3qtdltxMeU33nnBx/HmsopBC9/DYrVe0DHc5ejxIlr+5j+UOnk375X/HMkVA33rjWfjxo1O7V9eXk5eXh6RkZEEBTn+ZUW/fv2cLe2CFJXDkC+9+pIXLGk0hGmaQpWH1jl/v4TxreHPverezyzKCov5qN1tRpfhsIn7PiQ4vH70A/XBS9vh41Tn2vSNhX8M9kg5Pkl9gWP8NQuI73tsA6xxbnV5RjaHv17smXp8kbKAb3t9J3ywz7k23aLgvcs8Uo74OWfygC9lAV/Lg/peoLq/bIHlac61ubwZ/M2zqwj6FF/LAqA8cKa5yTAn2bk2bSNhwVBwYq65TysoKCAiwj6xOD8/3+nJn6f43qVGHjZ16lRiYmI4dOgQ3bp1o0ePHnTo0IH+/fvTtm1bhg8fDkCvXrV/E/vBBx9gsViYOHGit8oWN2gSE8Yto9o51aZruyiG90/wUEX1R1BQEI0bN3YqAIu44uaab+NYqwDghkRPVCJijAmJEOhkmL259lWeRdxGWUC85SYnswDATXofFD8yIRGCnM0CLpw3Is5SFhBvuakNOPv9vrKA+JPxrSHEyVGbm9uYZ2DMnTQ4dpYWLVqQlJTEmDFjsFqtpKamEh0dzZw5c/jiiy/45ZdfgNoHx2w2Gx999BFDhw6lVSvnltQR4816YiC9Ojm2hEV0o1AWvzqCgAD/f+dJS0tjypQppKU5OXVHxEmXNoU72ju+/2M9oGMjz9Uj4m3tGsITPR3ff2JbGOr4agsiLlMWEG/pGwu/7+T4/g93hR6u3pxEpB5q3gCm9XF8/+ta26+eFPE0ZQHxlu6N4eFuju//u47Q39WbNInUQ7FWeO5ixwduRrWwD6iJ8zQ4VoMuXbrw+eefk5eXR15eHuvXr+fee++loKCA1NRUAgIC6N69e41t//e//3HgwAFuv/12L1ftPpfHNqH0mhtrXVIRoPSaGy94ScX6qGFECGveGc0VA89/NViH1g359r2r6dQmyjuFGSw/P5+kpCTy8/ONLkVM4A9d4Pedz3/1TGgA/KU33KDZYeKHxreGZ/qANbD2fQIt9g+BjzjxoVHkQigLiDfd8+v7W/B5Pq2GBMDUHnC7E5NqRHzFqBbwYl8IP08WCMA+qeyJnpopLt6hLCDedFs7eKKH/bN/bYIsMLkr3OvEpBoRXzEsHmb0h4jzXKxrwX7V5DN9lAVcpWuhnbBz505sNhsdO3YkPDy8xn0++OADwsLCmDBhgperE3dp3DCUr+eMZONPWby1YBfLvz3E0exiAEJDAvh4xghGD2lBYKDGlkU8wWKBSR1hXCv49AB8kQbHiu1fAMSHw7Wt4OqW0DDE6EpFPOfqlvZ18784BEsPQnohVNggNhRGt7QPoMVpOXYR8VMWi/1LsdEtYNlB+OwQHMwHG/bJAQ92gbGtIEpZQPzYFQkwqAksPwRLDsIvJ+3nQIAF7moP1yVCszCjqxQR8ZwJbeCK5vD5QVh2CDIL7e+DTcLsn5eubQXRoUZXKeI5lzWD5b+BFYdh8QE4kA/lNogOgd80t1893ty1W23JrzQ45oQdO3YAtS+pWFxczKJFixg3bhyRkZHeLE3czGKx0L9HHP172K/LbnHFfA4fLSQ2yso1Q7Vcpog3xFphUif7Q8SMIoPt9xDRfURExKyiQ+GuDvbH6K/haDHEhDq3BLOIL2sQZP9yeEKb0+dAbCg80MXoykREvCMqBG5rb3+ImFFYEIxrbX+I+2lwzAl1DY5ZrVZOnDjhxYpExBuK0/eQ+tqdlOdlERjeiMSH5xHWSmuZibm0HjOQ+CE92DhtHpf/44806tCCiuJSirNOsu6JueSlZhpdoojHqB8QEbFTHhARs1IeFLFTFhB/onXhnFDX4JiIv4qLi+Phhx8mLs6cdzg9+NZ9xF51L93//gvNrnuc1NfvMrokEa9rNXoAB7/aAEDyBytZculkll3xKAdXbOSSv91vcHUinqV+QFlAROyUB0TMy+xZQHlQxE5ZQPyJrhxzwurVq40uQcQQMTExTJw40egyDFF24igFezfRYfrXAEQNvp6D/3yI4oy9WON1Xb/4j5CG4Vy7ZiaB1hAK07MICA0mslVT9i36L+uemEvTfp349uE3sJVXcHj11qp2x7bsofv9Yw2sXMSz1A/YmTkLiJiJ8oCI1MbMWUB5UMxEWUDMRINjIlKn3NxcNmzYQP/+/WnYsKHR5XhVadYhghvHYwm0v11aLBZC4lpReuygQrD4ldLcQvYvSaKsoJjtMxeRMLQXPSdfx/eP/oOEy3txdGMytvKKc9p1nTSagys2GlCxiHeoH7AzcxYQMRPlARGpjZmzgPKgmImygJiJllUUkTqlp6fz1FNPkZ6ebnQpIuJB0d3bkL0jBYCYnu3I/sn+/1uN7MeB5RvO2b/H5OuITGzG5uc/8mqdIuJ9ygIi5qE8ICI1URYQMQ9lATELDY6JiJxHSGxLynIysFWUA2Cz2Sg9dpCQuFYGVybiftHdEqtCb0zPthz/NQwnDO1dbbkEgG6/H0vr0QNYNfE5KopKvV6riLeoHxARs1EeEBGpTnlQzEZZQMxCg2MiIucRHNWE8HYXcXzthwCc+P4TQmJaaOkE8TvhzaLBZqMwMxuA6C6tydl9kNg+HTi55zDlhcVV+3a972rajL+Er296ltLcQqNKFvEK9QMiYibKAyIi51IeFDNRFhAz0T3HRETq0Pr+OaTOuovMRc8TGNaQxMn/MrokEbeL7t6mamYYQGluAZ3vvIqS7DwOfnV62YTw+Gj6P3MXuamZjFz0DAAVpeV8MeZJb5cs4jXqB0TELJQHRERqpjwoZqEsIGaiwTERqVNoaCidOnUiNDTU6FIMYW3Ric4vrzO6DBGPSlu1mbRVm6t+/nzUEwBcu3YmK66fVvV8YUY28+IneL0+ESOpH1AWEDEL5QERqY3Zs4DyoJiFsoCYiQbHRKRObdq04YMPPjC6DBExwNKhfzS6BBGpB5QFRMxNeUBElAVEzE1ZQPyR7jkmIiIiIiIiIiIiIiIipqHBMRGpU3JyMpdccgnJyclGlyIiIiIGUBYQERExN2UBERHxNxocE5E62Ww2ysrKsNlsRpciIiIiBlAWEBERMTdlARER8TcaHBMRERERERERERERERHTCDK6AHGj0FCCFr5ndBXOCQ01ugLxI9ZASBptdBXOsQYaXYH4m6CwUCbu+9DoMhwWFKZ+QNxLfYGImJ2ygIiYna/lQWVBcTdfywKgPCDG0OCYH7FYLGC1Gl2GiGEsFgjTu5qYnMViIThcfYGYl/oCETE7ZQERMTvlQTE7ZQERx6irEJE6JSYmMn/+fJo3b250KSIiImIAZQERERFzUxYQERF/o3uOiUidrFYr7dq1w6orE0VERExJWUB8xbJly+jdu3e1R/PmzbFarefdVpsbbriBdevWOfTaixYt4v7776e4uJhx48bRsWNHevXqxZVXXsnevXur9hsyZAgpKSkX/LuK1ETngHiKsoCIiPgbDY6JSJ0yMjL461//SkZGhtGliIiIiAGUBcRXjB07lm3btlU91q5dS3h4OG+++eZ5t9Vkw4YNZGdnM2jQIIdee8mSJYwbNw6Ae++9l+TkZH788UeuvfZaJk2aVLXflClTmDZt2gX/riI10TkgnqIsICIi/kaDYyJSp5MnT7Js2TJOnjxpdCkiIiJiAGUB8UWVlZVMnDiRESNGcM899zi87ZQ5c+Zw6623Vv184sQJWrRoQUxMDL1796ZLly6EhoYyadIkysrK+O677xg+fDhWq5XRo0fb7wkNDBw4kNTU1KrjjBkzhuXLl+t8Eo/TOSDupCwgIiL+RoNjIiIiIiIi4nemTZtGdnY2s2bNcmrbKWvXrmXAgAFVP0dFRXHrrbfyyCOPsG3bNl577TUGDhzI22+/zZo1axg8eDDBwcHnHOf111/n2muvrfo5ODiYHj16kJSUdIG/ocj56RwQERERqV2Q0QWIiIiIiIiIuNPSpUt555132LRpEyEhIQ5vO1NaWhpNmzat9ty2bduYPHkyAJs3b6ZPnz4AfPrpp4wfP/6cYzz//PPs3buXb775ptrzzZo1Iy0tzaXfTcQROgdEREREzk9XjomIiIiIiIjfSE5O5p577mHhwoUkJCQ4vO1s4eHhFBcXV3tu27ZtVYMBpwYGbDYbK1asYNSoUdX2nTFjBosXL2b58uWEh4dX21ZcXExYWJirv6LIeekcEBEREambBsdEpE7R0dHceeedREdHG12KiIiIGEBZQHxFXl4e48ePZ/r06Vx66aUOb6tJz549SU5Orvr58OHDWCwWmjdvDsD27dvp0aMHGzZsoEuXLkRERFTt++qrrzJ//nxWrlxJVFTUOcfetWsXvXr1cvG3FKmdzgHxFGUBERHxN1pWUUTqFBAQQHBwMAEBGk8XERExI2UB8RVvvvkmycnJzJ07l7lz51bbduONN9a67csvvzznKpoJEyawYsUKrrjiCgC2bt1adcUM2O+/9NZbbxEbG8u4ceOqnk9LS2PKlCm0bduWYcOGARAaGsr69esBSE1NpaKiQgMD4hE6B8RTlAVERMTfWGw2m83oIkTquxZXzOfw0UKaNwknbdUtRpdzwTZu3OjU/rt37+aOO+7g/fffp3Pnzg6369evn7OliYiIiBcoC4ivGf01HC2GJlb48jfeec38/HwGDx7MunXraNCgQa37devWjTVr1tCkSROHjvvEE0/Qvn17Jk2a5K5SxQR0DognOJMHlAVERKS+KCgoqLpiPT8//7w55Xw03UNERERERETkLBEREcycOZOUlJTz7rdz506HBwUAEhISuPvuuy+0PBGP0zkgIiIi/kzLKoqIiIiIiIjUYMSIEW4/5uTJk91+TBFP0TkgIiIi/kpXjomIiIiIiIiIiIiIiIhpaHBMROoUGRnJyJEjiYyMNLoUERERMYCygIiIiLkpC4iIiL/RsooiUqfmzZvz7LPPGl2GiIiIGERZQERExNyUBURExN/oyjERqVNJSQmHDh2ipKTE6FJERETEAMoCIiIi5qYsICIi/kaDYyJSp5SUFK6//npSUlKMLkVEREQMoCwgIiJibsoCIiLib7SsooiIiB+x2WyUF/nObM6gsFAsFovRZYiIn7DZoLjC6CqcYw0EvQ2KOykLiNmpLxARs/O1LADKA2IMDY6JiIj4kfKiEj5qd5vRZThs4r4PCQ63Gl2GiPiJ4goY8qXRVTgnaTSE6VOZuJGygJid+gIRMTtfywKgPCDG0LKKIiIiIiIiIiIiIiIiYhoaHBMRERERERERERERERHT0EXbIlKnzp07s2HDBqPLEBEREYMoC4iIiJibsoCIiPgbXTkmIiIiIiIiIiIiIiIipqHBMRGp04EDB7j77rs5cOCA0aWIiIiIAZQFREREzE1ZQERE/I2WVRQ5y+6UE3yZdIjNPx9n889ZHMosoLC4HIDMrCLGPbySi7vGMrx/AoN7N8FisRhcsecVFRXx008/UVRUZHQpIiIiYgBlAREREXNTFhAREX+jwTERoLLSxqerD/Dmf35m9YaMWverqLSxdM1Blq45yNNvbqF7+8Y8cFMX7rimPQ3Cg71YsYiIiIiIiIiIiIiIuEKDY2J6ew6c5O6nk/h26xGn2/60N4cHnvueV+bt4N1nhzC0X7wHKhQR8axmg7oxcvH0as+VFRSRuz+DfYv+x653vsRWUWlQdSIinpe3Yy2//L9h1Z4LsDYgNKEjMUNvp8nVf8ASqI9O4r+UBcTs1A+IiNkpC4gZqWcXU/v7gl1M+dt6ioorLug4KYfzGHbPlzx0S1defXQAwcG6nZ+I+J79i5NIW70FLBbC4qJof8Pl9J9+F406NGfdY3OMLk9ExOMaX3YLjS4eDTYbZTmZHF/7Pmnv/onitF20fvCfRpcn4nHKAmJ26gdExOyUBcRMNDgmpmSz2Xj6zS389Z/b3HrcN+b/zIH0fD7+23BCQwLdemwjxcfHM336dOLjdWWciD87viOF/Z8kVf2cPG8F45Nep+OtI9jy4nxKjucaWJ2IGMksWSC87UXEDL2t6ue40Q+w84HOZK18m4TbniO4UZyB1Yl4nrKAmJ36gdqZJQuImJ2ygJiJLm8RU3rh7R/dPjB2ymf/Pcgtj6+hwo8uNW7UqBGjRo2iUaNGRpciIl5UXlTCsS17sAQE0LB1U6PLEREDmTULBFob0KDTQLDZKMncZ3Q5Il6nLCBmp37gNLNmARGzUxYQf6bBMTGdNRvS+fPszR59jSXfHOBv7/3k0dfwppycHD7++GNycnKMLkVEvCwy0R5+S07kG1yJiBjJzFng1JehQRHRBlciYgxlATE79QN2Zs4CImanLCD+SssqiqnkF5Zx99NJde94lo3zx9IsNpzMrEL63bLMoTZPv7WFa4a2okvbKKdfr745cuQIr7zyCj169KBx48ZGlyMiHhIUFkJodGTV2uKd7vgNMT3acmzLHnL3ZxhdnogYyCxZoLKkkPLcLGw2G+U5mRz76h8U7d9KeIf+WJt3NLo8EY9TFhCzUz9QO7NkARGzUxYQM9HgWC2ysrJ4+eWXWbx4MWlpacTFxXHdddfx/PPPM3nyZN59911mz57NQw89ZHSp4oRn3tpCarrzsxyaxYbTomkDp9qUlFZw7/RvSXrvaqdfT0ROO5APx4rBAiSEQ3y40RX5rz5Tb6bP1JurPZf6xQ+sf/JtgyoSgMxCSC+CShvEWiExwuiKRPxXxvxpZMyfVu25qEHX0eq+Nw2qSAAO5UNphf3/+9HK5fWSskD9dKQISn/92y+vBJsNLBZja/JX6gdE6qfDBZBZBDagqRVa6jORxygL1E/HiiGtwJ4DGodCu0hlAXfQ4FgNtm3bxqhRo8jMzKRBgwZ07dqV9PR0Zs2axb59+8jOzgagd2s3C4oAAQAASURBVO/exhYqTskvLOOfnyR79TW/3XqETTuP0bebeW/aK+KKskpYcRg+ToGdJ6pv6x8LN7SBy5tBgIKAWyV/8DWpn60jIDiIxp1b0f3BcTSIj6GipLRqn4CQIK75+hVSliSx/fXFVc9f+tqDWOOiWDXxOSNK9zuVNvhfJnycCuuPVd/WNQomJMLI5hASaEBxIn4s9qp7aTz4BmwVZRQd2EHm4pcozUrDEmyt2idvZxJ7nx11TltbeSm2ygouXlLhzZL9VnklrEq3vw/+mH36+eOlcO93cEMiDIuHIN0owK2UBeoPmw2+O2rPw98ftX8hDJBdChP/a8/Do1qAVVnArdQPiNQfFTZYk2F/H9x8vPq2no3t74NXJigLuJuyQP1hs9m/D/g4FZIy4cw5Ym0j7Xl4TEsI1wiPy/RPd5asrCyuueYaMjMzmTJlCtOmTSMyMhKAl19+mccff5ygoCAsFgs9e/Y0uFpxxkdf7COvoMzrr/v3hbt5Z7oGx0QclVsKj26ELcdr3r4hy/4YEQ/PXgSh+kLAbXL3Z5KRtAOAw6u3cmTDbkYv/T8GvXQf/71/JgCVpeV8O3k2I5c8y6GVm8n5+QCtRvajxZV9WTr8T0aW7zdKK+CZbfD14Zq3/3wCnt0GSw/C3/pDVIgXixPxc6HxHWjY+woAGl08iogul5L85KUc/PvvafvYfwCI7DaEPguqr0RQejyd3VP6EjdGq0q4Q0E5PL4RfjhW8/Ytx+2PIU3h+YshTJ9q3UZZoH4or4TnfoTPDtW8/Zdc+/YlB2Bmf4ix1ryfOE/9gEj9UFwOT26GpCM1b9+eY398dhBe7gcRwd6tz58pC9QPFTaYscM+MFaT/Xnw0g74JBVeHwhNw7xZnf/Q2PpZJk+eTFpaGg899BAzZsyoGhgDmDp1Kr169aK8vJzExEQaNmxoYKXirHlLfzHkdecv30dJqW/PHAsPD2fAgAGEh2s9O/Gskgr444baB8bO9E0GTNtqv8JGPOPYpmT2LfofbcZdQlzfTlXPH9++n51/X8aQWX8gPD6aQa/8nvVPvU3REd2c+0JV2mD6ttoHxs70Yzb8cb39g6OIp5k1C0R0GUz00NvJ+XYB+bu+r3GfyrIS9r94HRFdLyX+hqe8XKH/Ka+ExzbUPjB2pqQj8NRmexvxDGUB77PZ4MXttQ+MnennE/CHH+wDyuIZ6gdOM2sWEO+rsJ1/YOxMG7LgsY321WfEM5QFjPHaztoHxs60Nw8eWmefaC7O0+DYGXbt2sWCBQuIjY3lhRdeqHGfiy++GIBevXpVez4pKYkRI0YQGxtLVFQUAwcOZPHixTUdQgxQWlbBll0OfNvuAUXFFezYk133jvVYq1atmD17Nq1atTK6FPFzSw5UXzqpLqvSHQvM4rofZy6isryCPo/dVP351z6hsqKCsStfIfO7n0hZ+p1BFfqX74/alxR11I4cWHTAc/WInGLmLBB/018gIJD0fz9d4/aDb/2eyrJiEh+e593C/NQXafYvuhyVdMSeB8RzlAW8a2s2fHrQ8f1/yYV/7/NcPaJ+4BQzZwHxrm+c/Jy/MQs+d2BCgbhOWcC7fj4B8/c7vn9KPszb67Fy/JoGx84wf/58KisrmThxIhERNd/ZMSzMfo3imYNjP/74I1deeSWBgYHMmzePBQsW0LJlSyZMmMDnn3/uldrl/HbuzaHUwGkkm382ZmDOXSoqKsjPz6eiwrevgJP6zWZzbFbM2RaluL0UOUNeaiYpS78j4bKeNBnQpep5W3kFxzYmY41pxN4Fawys0L8sSnWhTYquoBTPM3MWsMa3J3rIzeRt/4a8nUnVth39bBYnN31Ouyc/JSBUM+kvlM1mv6+Is1zJD+I4ZQHvcuUcWHxAV1B6kvoBOzNnAfEul7JAij1HiGcoC3iXK98LLD1oX41JnKPBsTOsXr0agGHDhtW6T1paGlB9cGzBggVYLBY+/fRTrr76aq666ir+85//0LJlSz766CPPFi0O+WmvsZf0+vqVY3v27GH48OHs2bPH6FLEj23PgQP5de93tnXH4EiR++uR07a/bp8NduYssSYDutD+pmHseudL+j/7WwKtuvHVhcoqhu9cuBIyrRC2+vYcDPEBZs8CzW74MwQEVLtqIG/7GtLef5y2Uz8mtGmiccX5kT25sPuk8+1+zHYtQ4jjlAW8I68MVmc43+5YsWNLkYrr1A8oC4h3HMq3X0HrrF9yITnX/fXIacoC3lFcASvSnG93slQrK7nCYrNpXP2Uli1bkpaWxtatW+ndu/c528vLy4mPjycrK4t9+/bRtm1bAB599FHmzp3LiRMnsFgsVft3796dbt26sWDBAqdr6du3L5mZmS7/LlJdfmg/Tja4usZtG+ePpVns+Wd4NYsNIygwgPKKSjKzav8WPjOrkH63LDvn+fCSrTQu+NSpmj1pwoQJTu1/9OhR5s+fzy233EKTJk0cbrdo0SJnSxMTs/a9lqi733Sp7fFXxlKWssXNFfmmYFsA0yr7e/Q1gsKtjP1mBj/P+Zzd761g1JJnyfpxHxunzXP6WNMDNlBm0VRngKDWvYh9/AuX2p5472GK13/i5orEn/lrFrCEhNH0Nc9/aVdyJJXdj/Yj/uZpNBnz0AUd68gjHbCVapYHQGiPK2l8/79caps96xZKdyfVvaMJKAv4rsBmHYh72rWZ9yfnP0lR0gdursg3eaMvcGc/AMb1Bc7kAV/JAuLbQjpdQvTDzn+PCpAz5x5Kflzh5op8k69lAVAeOCWgcQJNntvgUtvcxf9H4ao5bq6ofqqsrCQjwz6jqHfv3mzdutWl4wS5syhfV1BQAEBRUc2BZMGCBWRlZREZGUmbNm2qnr/99tt58803mTJlCo8//jhBQUHMmTOHPXv28NZbb7lUS2ZmJocPO3HTETm/6I7QoOZNzWLDadG0lo1nCQoMcHjfMxUWFlFYj/57nvpbd9Spc6KoqMiptvobFmdEtz9BlIttj2Udp0B/bwCEWAKhqWdfo98zd5B/8Ci7530FwLcPv8HYVTM4uHw9R37Y5dSx0jPSKbXp2n+A8PAEYl1sm5NzgmydA+IEf80CAaHhnn4LpLKkkH0vjKNR/7Fu+UI0PT2dypJCN1Tm+xo1z6axi22zjh8nT++DgLKAL7MGNCLOxbYnT57kmM4BwPN9gbv7ATCuL3CmT/eVLCC+LTL2ONEuts3OzuaE/t4A38sCoDxwSkhZEI5PP6guNzePIyY8B44ccf2SOQ2OnaFZs2bk5OSwZcsWBg0aVG1bRkYGjz32GAA9e/asdoVYr169+Oabb7juuuuYOXMmAA0aNODjjz/msssuc7kWcZ+CkHBO1LItM6vuAOrMlWM1aRAWRFTz5g5U6h0NGjg3wHcq+IaFhTnVtnk9+p2l/gu2lDjdxmazYbFYiAmuqFfnmJGCbQHgwclWzYf3oc3YS1g6YkrVc3kHjrD5uY+4ZOaDLBs+hfIix/9bJsQnaHbYrwJC7Bfzn/q7dkYjSwlhOgfECf6aBSwhYR5/jZzvP6Eo5UeKD/9Czrfnzmzu9sbPhMS1cvh4CQkJunLsV0GBZYBz74On9o0OKqeh3gcBZQFfZgmzYKusxBLg/B0wIikmROcA4Pm+wN39ABjXFzjTp/tKFhDfFhhUDriWBaICymigvzfA97IAKA+cYgkJxlZeiiXI+SUqI2xFBJnkHDjzyrGmTV0fCdayimeYPHkys2fPpmXLlqxatYqOHTsCsHHjRm6//Xb2799PWVkZDz74IG+88UZVu1PrLvfu3ZsHHniAwMBAPvroIz7++GM+//xzhg8fbtSvJL/asOMYAyaeu9yhow6tvJkWTRuQdqSAllf+x+n2s58cxEO3dHX59d1t48aNTu2/e/du7rjjDt5//306d+7scLt+/fo5W5qYWIUNxn8D6U5OmLwoBv55iWdq8kVlhcV81O42o8tw2MR9HxIcbjW6jHrj/u9hY5ZzbZpaYekVEKQ7yYoT/DULFJXDkC+9+pIXLGk0hGnKIgA2G9y4BlKcvH9Y50bwwWXg5LwCv6Us4Nv+uN75e4ZEhcCXV0JIoGdq8jXqCxznTB7wlSwgvu+O/8HPJ5xr0zoCFg1TFjjF17IAKA+c6c+bYYWTF4A1CILlv4Fwk3yuKCgoICIiAoD8/HynJ3+eoq9RzjB16lRiYmI4dOgQ3bp1o0ePHnTo0IH+/fvTtm3bqkGuXr16VWv31FNPER4ezpIlSxg1ahS/+c1veO+99xgwYABTpkyp6aXEy3p2bExQkHE9ZN+uri6UVT+0b9+eFStW0L59e6NLET8W+P/Zu/PwqOq7/eP3ZJ0khCULJIQl7ISdKjuogLZssgluuMsPtVpoS6Xq0xbxcalLC+LS4tJSreZBIwiCiFLARkUImyBL2BJgSAKEBLKQPfP7YyQSCTATMnPIOe/XdeXSOcvMZzQn33vmc8732KSJrT3f76b4Oi8FMExtfp8nxNMYg/eRBeALNps0qc2lt/upSfF8GQbzmFyLY2BcKxpj8D6yAHxlUnzt9iELwCxqcwyMbmmdxlhd4quUc7Ro0ULJyckaPXq07Ha70tPTFRERoQULFmjFihXau3evpPObYzt27FDPnj0VEFD9N/Dqq6/W7t2ez7GKumcPDlDPjpGGvHZggJ96dqrtjMlXhoCAADVp0uS833Ggrk2Klzo0dH/7vlHS8FivlQP43HUx0kAPJhhvGy7dWosv0QBPkQXgK+NaSl0bu799rwhpVAuvlQP4XP9oaagH+bZlmHRnO+/VA5xFFoCvjIhzzRDjroRG0njPZjIFrmi9IqSRHuTbmBDpvg7eq8fMaI79REJCgpYvX678/Hzl5+drw4YNmjZtmgoLC5Weni4/Pz9169at2j4xMTHatm2bysvLqy1PSUlhbuUryJTRxnxiuOn6eIXY63d4dDgcmjlzphwOh9GlwOQaBErz+7vXIOsTJb3QhytmYC4BftKfr5b6RV9623bh0iv9XccN4G1kAfiKPUCa10/q0vjS2/aMkP7SlytmYC5+Nul/fyYNceP2Ga3CpFf7S42DvV8XQBaArwT5Sy/1cTUILiWhkfRyf6aohrnYbNKfekk3NL/0ts1DpVcHSFHMSFkrfKXopp07d8rpdKpDhw4KDQ2ttu7hhx/Wvn37NGHCBC1fvlwrV67UnXfeqS+//FIzZswwqGL81D3jOijE7vtPzr+8JcHnr1nXCgoKlJycrIICD28AAdRCtF16a7A0o4sUF3r++g4Npcd6uJpoNAVgRqEB0sv9pCd6SB1raBQ3D5V+lSC9PVhq5t37zQNVyALwpSbB0oKB0m+7ur78/6k2DaRHu0uvDZAaeX6vcuCKZ/eXXurr+mKspkZxsxDpoc7SP4dIcbW7xQbgMbIAfKlhkGucn9XdNVvGT7UKk37T1XX/8QhOEIAJBfpJz1wlPdVb6tHk/PVRwdL/6yj9a4gU38D39ZkFfXU37dixQ9L5UypK0uTJk/XJJ5/o+eef1913362Kigp17NhR7733nm6//XZfl4oLaNIwWHfd2EELPtzjs9fs1TlCg3/mxil/AKoJC5DubC9NaSdtz5F+u1HKK5OaBEnvX8tc4jC/AD9pYrw0obWUelr65XrXMdA4SFoy3HWPPgAws5AA6fZ20m1tpR250vFi1/KYENe0i2QBmJ2/TRrbyvWTelo6WiiVO6XIYNdVk8yeAMDsgv2lm9tIk+Olnaek6d/++L1A0jDXlbaAmfnZpFEtXT/786RpX//wvUCgtPwGskBdoDnmpos1xyRpzJgxGjNmjC9LQi0886ur9PGaQzp2ssjrr+Xvb9ObswfLxid3oNb8bFKvSNfZs3llrjNnOKRgJTab1Lnxj8dAkB+NMcAIxRn7lD7vbpXnZ8s/tJHiZyxUSKuuRpdlCTab1KN+374XuGydGrl+YBzGAcA4NpvUrUn17wVojMFq2jc853sBfxpjdYXmmJsu1RxD/RDZ2K4Ffxqk8TNWe7RfVvaZav90x+/v7aGru7px0xgAqAdaj+6v2CHdlTJ7oa79+2/UqEMLVRSXqjj7tNY/9qby07OMLhEAvObw6w8o6hfTFDX8HuV+naT0l+9Rwl9SjC4L8DnyAKyKcQAAXMgCMBN6jG5as2aNnE6nRo8ebXQpuEzjhrbWb+707AyvPrctU8sb/k99blvm1vZD+8TqTw/2rk15V6To6GjNmDFD0dE0+wCrajWqnw5/tlGSlPruF1oyeLqWXf87HV6VokF/ecjg6gB4m5WzQNmp4yrcv0mR190hSWo88CaVZh9RceZ+gysDfI88ACtiHHCxchYA8COyAMyEK8dgSS/N7KczxRVeuf/Y4N7NtHT+9QoO8q/z5zZKZGSkpkyZYnQZALwoqGGoxq2dK397kM5kZMsvOFDhrZrpQNKXWv/Ym2rWp5O+mvGqnOUVOrpma9V+J7bsU7eHxhpYOQBfsHIWKM0+osAmsbL5uz462Ww2BUW3UumJw7LHtje4OqBukQeA8zEOuFg5CwBWQhaAldAcgyX5+dn0tz8MVGxUiJ5asE2Vlc46ed5bRrTRP+Zco9AQcx1aeXl52rhxo/r27auGDRsaXQ4ALyjNO6ODS5JVVlis7XOT1Py6nuoxfaK++d3f1fzanjqekipnecV5+3WZOkqHVzGlDGB2ZAHAGsgDAC6ELABYA1kAVsK0irAsm82m2Q/9TN/++0Z1adf4sp4rqoldH7w0TP/3wjDTNcYkKSMjQ0888YQyMjKMLgWAF0V0a6OcHWmSpMge7ZTzvevfW43oo0MrN563fffpExUeH6PNz77n0zoB+J6Vs0BQVEuV5WbKWVEuSXI6nSo9cVhB0a0MrgzwDvIAUB3jgIuVswBgNWQBWAXNMVhen27R2rJovF7/n4Hq3qGJR/s2bxqqJx/qrV1LJmryz9t4qUIA8I2IrvFVoTeyR1ud/CEMN7+uV7XpEiSp64Nj1XpUP62e8owqikp9XisA+Epg46YKbfcznVz3b0nSqW8+UlBkC0tNpQVrIQ8A1TEOALAasgCswnyXuAC1EBzkr4duSdCDN3fW11uPaUXyEW3ela3Nu04q53RJ1Xah9gD16hyhq7pEaWifWI25ppUCA+kxA6j/QmMiJKdTZ7JyJEkRCa21/eWPFNW7g07vO6ryM8VV23Z5YIzaTBikz29+SqV5Z4wqGQB8pvVDC5Q+/x5lJT0r/5CGip/+T6NLAryCPADUjHEAgFWQBWAlNMeAc9hsNg3+WYwG/yxGkmu6hDNF5SourVBQoJ9C7QHy96cZBsB8Irq1qTozTJJK8wrV+e5fqCQnX4c/+3HahNDYCPV98h7lpWdpRNKTkqSK0nKtGP24r0sGAJ+xt+ikzi+sN7oMwOvIA0DNGAcAWAVZAFZCcwy4CJvN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u6F9IHriHyU/v0pXieXu2SjHm4+p9aPvKbhpvHHhfOTgwYMaMmSIDh708LYewAObMn27H9y3Z77ryvBLrxhv0qeT2t46WPtfW6Pes34lf3uQgQnNgWMA1zKrdwH6oG/8p6a/BzNqNwcuRxfwjf9exTHA1IrexXmALgAAgNnYnE4q5EXNmzeXw+HQl19+qcTExMvWl5aWKiYmRllZWTp8+LBat259xdc6c+aMGjdurJdfflkPPvigRzny8/Mr7lyLiYmRn597Y5i2oBA1nef9klZ0Mk0H/tBLMbfNUJOrfNjuyYfbyVlcUEvJ3DdhwgSPtj916pSWLl2qX/7yl2rSpIlb+yxfvrwm0WBhjR5+V8Ht+3u8X+npNGXNGOiFRHVPoNNPM8p7e/3rBITaNfrTOfpm8Yc68P/WacTKWcr66rC2z3jD49ea6bdNJTZPJg8yr/qTXlLowEk12jfzwea8KwaPmLUL0AfrtoYPvCF7t2Ee71d2/pROP/ETLySqe+gCdVv4zTNUb+iva7Tvyd91kLMov5YT1T2cB9xn1i4AAICVREdHa8eOHTXaN6CWs9Rp+fmuIl1QUHUpW7ZsmbKyshQeHq5WrVpdtr6srEzl5eU6evSonnjiCUVHR+uWW265qkwZGe5fBuoXHKqmV/XVflx50QUdfn6sGvQefdUFWJLS09NVXuT7hyRc/Ld218WfiYKCArf3PXHihMe5YG0huecVXIP9Si7k8fP2nSCbv7z+i1BSr6fvVN6xUzrwxr8lSZ9Ne1mj18/RsbVbdfILz543mZ6RrmInU7NIkt+5M6rJZDzlxYU6UcenMYbvmbUL0AfrtuCcbNlrsF9pYT5d4Dt0gbotNjtL9Wq4r+PoEamstFbz1EWcB9xn1i4AAADcw+DYJaKjo5Wdna1du3apX79+ldZlZGTokUcekSR1795dNpvtsv2vv/56bd7seghz27ZttWHDBkVFRV1VJk/vHPO27M/fV0HqVyo88a2yP1t22fouL3+joCj3H04bGxtryBVi9ep59ifXxeIbEhLi9r5xcXEe54K1+WcdqdmOJw/y8/adQKefZ09wr4G4IT3UavQArRo6vWJZ7tGT2vnsOxow90GtHjJdpQVFbr9ebEwsV4t/J/hczR6gV5p+gGMAHjNrF6AP1m0BZ1JrtJ8z81t+D36HLlC32c8fr9F+Jekpiov2wahoHcB5wH1m7QIAAFhJdHR0jfdlWsVLJCUlaeHChWrevLnWr1+v9u3bS5K2b9+uO+64Q0eOHFFJSYkefPBBvfzyy5ftn5KSonPnzik1NVWzZ8/WqVOntHnzZrVo4X4plCpPq5iXl+d26SoolQat8ehLGS55pBRiwBDt9u3bPdr+wIEDuvPOO/Xmm2+qY8eObu3Tq1evmkSDhTnypXGfSp7+Un51gJQY6ZVIdU7JhUK90+Z2o2N4ZPLhtxUYWpP7BMynoFQa/rGU7+FF308lSqM9O9UCpu0C9MG67XSh9ItPpDIPy8CCvlJ/92b4Mj26QN1WXCaN+kTKLvZsv0e6SbdePrmLJXEecJ9ZuwAAAHCPe7ckWcSjjz6qyMhIHT9+XF26dFG3bt3Url079e7dW61bt9aQIUMkSQkJCVXu36FDB/Xp00e33XabPv30U+Xm5uqll17y5bcAL2nbtq3WrVuntm3bGh0FJtasnjTQwwte29eXEiK8kwfwtZAAaYyHg1wNg6SfxXonD3ApugB8IcouDfXwd1qLelLfq5usArhmBPlL4+M926degDSqmVfiAJXQBQAAMBcGxy7RrFkzJScna9SoUbLb7UpLS1NERIQWL16sjz76SN9++62kKw+OXaphw4Zq27atDh065O3Y8IGAgAA1atRIAQFc1gzv+p8EKc7Nhy41CJSev06qYpZXoM76TUepWyP3tg30k17qJdn51QwfoAvAVx7rJsWHubdtvQDX70E/ugBM5N52Uk83Z0Xwt0kvXCeFBXo3EyDRBQAAMBsGx36gU6dO+vDDD5Wbm6vc3Fxt3bpVU6dOVX5+vtLS0uTn56euXbv+6OucOnVKKSkpatOmjQ9Sw9scDoemT58uh8NhdBSYXKRdWjJA6tig+u3iQqVXB0ot3XzzDKgr7AHSQjemB2sQJC3qJ/2EKUXhI3QB+EqDIOnvA378QoGmIa7O0La+b3IBvhLkL83rIw3+kcdHhAdK8/tI/ZhSFD5CFwAAwFy43MVN+/btk9PpVPv27RUaWvm2jttvv11t27ZVYmKiGjZsqIMHD2ru3LkKCAjQ7373O4MSozbl5eUpOTlZv/71r42OAgtoEiK9+VNp62lpeZrrfwvLXOsC/aRnfiJdHy0FcHkDTCrsuze7vs6W3kuT/pP5/XPIAmzSEwnSz2O5Ywy+RReAL0UES68PlHZkuX4PbjklFZRJQX5Sl4bShFbSkBhXLwDMKCRAmt1b+uacqw9vzJByS1w9oHW4dHO8NKKZFEoXgA/RBQAAMBeqpJv27t0rqeopFfv27as333xT8+fPV2FhoZo3b67BgwfrySefVMuWLX0dFYAJ+NlcV8FevBJ2xDrpdJHUKMjzZ5EAdZHNJnWLcH1I3x8DEcGeP5cMAOoim03qFeX6kKQyp2sKOcBKOjeUnkp0fZQ5XVPfMKU4AAAAagODY26qbnDsoYce0kMPPeTrSD5RmH5QafPuUmlulvxDGyh+2hsKadHF6FiA5fAmgPFajuqrmEHdtH3GG7r+b79Tg3bNVFZYrMKs89ry+BLlpmUaHdHUOAYA49AHrw0MjBmPLmAsjgFjcS4AAABmw0QcbqpucMzMjr1ynxr/fKq6/vVbRY9/TGnz7zY6EgAYosXIPjr2722SpJS3PtHKgUlaPewPOrZuuwb87wMGpwMA76EPAi50AVgZ5wIAAGA2DI65acOGDXI6nRo1apTRUXym5Nwp5R/aocgbbpckNex/s4qzjqsw45DByXwvKipK06ZNU1RUlNFRAHhJUP1QTdy5WLft+4dGfzJbY/87T3ekLVX/OffLFuCvpr06KOOzr1VWVKITG76s2O/0roMKa87vBsDsrNoF6IOwEroAUDXOBS5W7QIAAJgV0yriioqzjiuwUYxs/q4fE5vNpqCoFio+fUz2mLYGp/OtyMhITZ482egYALyoOOeCjqxMVkl+ofbMXa7YGxLUPWm8Pv/D3xR7fYJObU+Rs7Tssv06TxmpY+u2G5AYgC9ZtQvQB2EldAGgapwLXKzaBQAAMCvuHAPckJOTo/Xr1ysnJ8foKAC8KKJrK53dmypJiuzeRme/dv13i+G9dHTttsu275Y0XuHx0dr53Ds+zQnA9+gCgDXQBQBcCV0AAABzYXAMVxTUuLlKsjPkLCuVJDmdThWfPqagqBYGJ/O99PR0Pfnkk0pPTzc6CgAviugSX/EmWGT31jrz3ZtjsTckVpo+SZK63D9aLUf20frJz6qsoNjnWQH4llW7AH0QVkMXAC7HucDFql0AAACzYnAMVxTYsIlC2/xEZza9LUk69/n7CopsZqlpEwBYR2h0hOR06kLmWUlSRKeWyj5wTI17tNP5gydUeqGwYtvO9/1CrcYN0Me3zlJxzgWjIgOA19EHYSV0AaBqnAsAAIAZ8cwxVKvlA4uVtuBuZS5/Tv4h9RWf9A+jIwGAV0R0bVVxpbgkFefkq+NdP1fR2Vwd+/f30yiFxkSo99N3KyctU8OXPy1JKisu1UejnvB1ZADwCfogrIIuAFwZ5wIAAGA2DI6hWvZmHdTxpS1GxwAAr3Os3ynH+p0Vn3844nFJ0phNc7Xu5hkVyy9knNUbMRN8ng8AjEIfhFXQBYAr41wAAADMhsExwA3BwcHq0KGDgoODjY4CwMdW3fA7oyMAuAbQBQDrogsAkOgCAACYDYNjgBtatWqlt956y+gYAADAIHQBAACsjS4AAIC5+BkdAAAAAAAAAAAAAPAVBscAN6SkpGjAgAFKSUkxOgoAADAAXQAAAGujCwAAYC4MjgFucDqdKikpkdPpNDoKAAAwAF0AAABrowsAAGAuPHPMROz+UvJIo1N4xu5vdAIAZhIQEqzJh982OoZHAkJ4oDeA2kMfhNXRBWB1nAcAAADcw+CYidhsUgj/ogAszGazKTDUbnQMADAMfRBWRxeA1XEeAAAAcA/TKgIAAAAAAAAAAMAyGBwD3BAfH6+lS5cqPj7e6ChAtVavXq3ExMRKH3FxcbLb7dWuu5KJEydqy5Ytbn3t5cuX64EHHlBhYaHGjh2r9u3bKyEhQTfeeKMOHTpUsd2gQYOUmpp61d8rUBWOAXgLXQAAAGujCwAAYC4MjgFusNvtatOmTbVvoALXgtGjR2v37t0VH5s2bVJoaKgWLVpU7bqqbNu2TWfPnlW/fv3c+torV67U2LFjJUlTp05VSkqKvvrqK40ZM0ZTpkyp2G769OmaMWPGVX+vQFU4BuAtdAEAAKyNLgAAgLkwOAa4ISMjQ88884wyMjKMjgK4rby8XJMnT9bQoUN17733ur3uosWLF2vSpEkVn587d07NmjVTZGSkEhMT1alTJwUHB2vKlCkqKSnR5s2bNWTIENntdo0cOVI2m02S1LdvX6WlpVW8zqhRo7R27VqdP3++9r9p4BIcA6hNdAEAAKyNLgAAgLkwOAa44fz581q9ejVvZKJOmTFjhs6ePasFCxZ4tO6iTZs2qU+fPhWfN2zYUJMmTdLDDz+s3bt3a968eerbt69effVVbdy4Uf3791dgYOBlrzN//nyNGTOm4vPAwEB169ZNycnJV/kdAtXjGEBtogsAAGBtdAEAAMwlwOgAAIDat2rVKr322mvasWOHgoKC3F53KYfDoaZNm1Zatnv3biUlJUmSdu7cqR49ekiSPvjgA40bN+6y13juued06NAhffrpp5WWR0dHy+Fw1Oh7A9zBMQAAAAAAAIAr4c4xADCZlJQU3XvvvXr33XcVGxvr9rofCg0NVWFhYaVlu3fvrhgMuDgw4HQ6tW7dOo0YMaLS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Download .txt
gitextract_kuvafn0a/

├── .gitignore
├── LICENSE
├── README.md
├── community-labs/
│   └── README.md
├── functions-labs/
│   ├── README.md
│   ├── algorithmiq/
│   │   ├── TEM_lab_validation.py
│   │   └── algorithmiq_tensor-network_error_mitigation (TEM).ipynb
│   ├── colibri-td/
│   │   ├── colibritd_quick-pde.ipynb
│   │   └── grader.py
│   ├── global-data-quantum/
│   │   ├── gdq_quantum_portfolio_optimizer.ipynb
│   │   └── grader.py
│   ├── kipu/
│   │   ├── data/
│   │   │   └── ibm_washington.txt
│   │   ├── grader_iskay.py
│   │   └── kipu_iskay_quantum_optimizer.ipynb
│   ├── multiverse/
│   │   ├── data/
│   │   │   └── grid_stability/
│   │   │       ├── test.csv
│   │   │       └── train.csv
│   │   ├── grader.py
│   │   └── multiverse_singularity.ipynb
│   ├── q-ctrl/
│   │   ├── grader.py
│   │   └── q-ctrl_performance_management.ipynb
│   ├── qedma/
│   │   ├── grader.py
│   │   └── qedma_qesem.ipynb
│   └── qunova/
│       ├── grader.py
│       └── qunova_hi-vqe.ipynb
├── lab-0/
│   ├── lab0-ko.ipynb
│   ├── lab0.ipynb
│   ├── lab0_br.ipynb
│   ├── lab0_cn.ipynb
│   ├── lab0_hindi.ipynb
│   └── lab0_ja.ipynb
├── lab-1/
│   ├── Supplemental_long_range_entanglement_with_limited_qubit_connectivity.ipynb
│   ├── lab1-ko.ipynb
│   ├── lab1.ipynb
│   ├── lab1_hindi.ipynb
│   └── lab1_ja.ipynb
├── lab-2/
│   ├── Lab2-ko.ipynb
│   ├── Lab2.ipynb
│   ├── Lab2_ja.ipynb
│   └── utils.py
├── lab-3/
│   ├── lab3-ko.ipynb
│   ├── lab3.ipynb
│   ├── lab3_ja.ipynb
│   └── utils/
│       ├── N2_device_bitarray.npy
│       ├── backend_target_v20.pkl
│       └── backend_target_v21.pkl
├── lab-4/
│   ├── lab4-ko.ipynb
│   ├── lab4.ipynb
│   ├── lab4_ja.ipynb
│   ├── lab4_util-ko.py
│   └── lab4_util.py
├── lecture_supplementary/
│   └── FermiHubbard-Example.ipynb
└── solutions/
    ├── lab-0/
    │   └── lab0-solution.ipynb
    ├── lab-1/
    │   └── lab1-solution.ipynb
    ├── lab-2/
    │   └── lab2-solution.ipynb
    ├── lab-3/
    │   └── lab3-solution.ipynb
    └── lab-4/
        └── lab4-solution.ipynb
Download .txt
SYMBOL INDEX (59 symbols across 11 files)

FILE: functions-labs/algorithmiq/TEM_lab_validation.py
  class TEMOptions (line 33) | class TEMOptions(BaseModel):
    method bd_must_be_less_than_equal_max_bond_dimension (line 48) | def bd_must_be_less_than_equal_max_bond_dimension(cls, v: int) -> int:
    method max_execution_time_must_be_greater_than_60_seconds (line 57) | def max_execution_time_must_be_greater_than_60_seconds(
    method validate_shadows_bias (line 68) | def validate_shadows_bias(cls, v: list | tuple | np.ndarray) -> np.nda...
    method validate_shadows_bias_from_observable (line 86) | def validate_shadows_bias_from_observable(self) -> Self:
    method noise_learner_options (line 98) | def noise_learner_options(self) -> NoiseLearnerOptions:
    method twirling_options (line 110) | def twirling_options(self) -> TwirlingOptions:
  class TEMInputs (line 120) | class TEMInputs:
    method __init__ (line 121) | def __init__(
    method validate (line 135) | def validate(self, pub: EstimatorPub) -> None:
  function validation (line 145) | def validation(
  function check_circuit (line 156) | def check_circuit(circuit):

FILE: functions-labs/colibri-td/grader.py
  function grade_ex1 (line 1) | def grade_ex1(use_case, physical_parameters):
  function grade_ex2 (line 11) | def grade_ex2(use_case, physical_parameters, nb_qubits, depth, nb_shots,...
  function grade_ex3 (line 36) | def grade_ex3(use_case, physical_parameters, nb_qubits, depth, nb_shots,...

FILE: functions-labs/global-data-quantum/grader.py
  function grade_ex1a (line 1) | def grade_ex1a(qubo_settings: dict, optimizer_settings: dict, ansatz_set...
  function grade_ex1b (line 74) | def grade_ex1b(dpo_result: dict) -> None:
  function grade_ex2 (line 104) | def grade_ex2(

FILE: functions-labs/kipu/grader_iskay.py
  function print_results (line 7) | def print_results(results: bool):
  function grade_lab_iskay_ex1a (line 17) | def grade_lab_iskay_ex1a(G: nx.Graph) -> bool:
  function grade_lab_iskay_ex1b (line 43) | def grade_lab_iskay_ex1b(objective_func: dict, graph:nx.Graph) -> bool:
  function grade_lab_iskay_ex1c (line 64) | def grade_lab_iskay_ex1c(arguments: dict) -> bool:
  function grade_lab_iskay_ex1d (line 132) | def grade_lab_iskay_ex1d(result: dict) -> bool:
  function grade_lab_iskay_ex1e (line 158) | def grade_lab_iskay_ex1e(cut: int) -> bool:
  function grade_lab_iskay_ex2a (line 168) | def grade_lab_iskay_ex2a(idx: int) -> bool:
  function grade_lab_iskay_ex2b (line 178) | def grade_lab_iskay_ex2b(one_local_terms:int, two_local_terms:int, three...
  function grade_lab_iskay_ex2c (line 188) | def grade_lab_iskay_ex2c(arguments: dict) -> bool:

FILE: functions-labs/multiverse/grader.py
  function grade_exercise_1 (line 1) | def grade_exercise_1(optimizer_options_ex1: dict) -> None:
  function grade_exercise_2 (line 18) | def grade_exercise_2(learners_types: list, learners_proportions: list) -...
  function grade_exercise_3 (line 67) | def grade_exercise_3(optimizer_options_solution: dict) -> None:

FILE: functions-labs/q-ctrl/grader.py
  function grade_ex1 (line 7) | def grade_ex1(circuit_width: int, hidden_bitstring: str, shot_count: int...
  function grade_ex2 (line 59) | def grade_ex2(n_qubits: int, observable: SparsePauliOp, options: dict):

FILE: functions-labs/qedma/grader.py
  function kicked_ising_1D (line 12) | def kicked_ising_1D(num_qubits: int, theta_x: float, theta_zz: float, s:...
  function grade_ex2 (line 47) | def grade_ex2(pubs_ex2:list, backend_name_ex2:str, options_ex2:dict):
  function grade_ex3 (line 122) | def grade_ex3(options_ex3:dict):
  function grade_ex_4_1 (line 142) | def grade_ex_4_1(circuit: QuantumCircuit):
  function grade_ex_4_2 (line 178) | def grade_ex_4_2(precision_ex4, pubs_ex4, backend_name_ex4, options_ex4):
  function grade_ex_4_3 (line 269) | def grade_ex_4_3(precision_ex4, pubs_ex4, backend_name_ex4, options_ex4):

FILE: functions-labs/qunova/grader.py
  function grade_ex1a (line 7) | def grade_ex1a(ex1a_answer: dict):
  function grade_ex1b (line 16) | def grade_ex1b(ex1b_answer: dict):
  function grade_ex2a (line 21) | def grade_ex2a(ex2_answer: dict):
  function grade_ex2b (line 35) | def grade_ex2b(ex2_answer: dict):
  function grade_ex3 (line 42) | def grade_ex3(ex3_answer: float):

FILE: lab-2/utils.py
  function linear_model (line 12) | def linear_model(x, a, b):
  function quadratic_model (line 16) | def quadratic_model(x, a, b, c):
  function exponential_model (line 20) | def exponential_model(x, a, b, c):
  function zne_method (line 24) | def zne_method(method="linear", xdata=[], ydata=[]):
  function plot_zne (line 44) | def plot_zne(scales, values, zero_val, fit_fn, fit_params, method):
  function plot_backend_errors_and_counts (line 61) | def plot_backend_errors_and_counts(backends, errors_and_counts_list):

FILE: lab-4/lab4_util-ko.py
  function bring_states (line 13) | def bring_states():
  function hamming_distance (line 36) | def hamming_distance(s1: Union[str, List[int], Tuple[int]],
  function minimum_distance (line 48) | def minimum_distance(code: List[Union[str, List[int], Tuple[int]]]) -> int:
  function matrixRank (line 81) | def matrixRank(mat):
  function generate_stabilizer_plots (line 96) | def generate_stabilizer_plots(hx_matrix, hz_matrix):

FILE: lab-4/lab4_util.py
  function bring_states (line 17) | def bring_states():
  function hamming_distance (line 40) | def hamming_distance(s1: Union[str, List[int], Tuple[int]],
  function minimum_distance (line 52) | def minimum_distance(code: List[Union[str, List[int], Tuple[int]]]) -> int:
  function matrixRank (line 84) | def matrixRank(mat):
  function generate_stabilizer_plots (line 101) | def generate_stabilizer_plots(hx_matrix, hz_matrix):
Copy disabled (too large) Download .json
Condensed preview — 56 files, each showing path, character count, and a content snippet. Download the .json file for the full structured content (41,722K chars).
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    "path": ".gitignore",
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  {
    "path": "LICENSE",
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    "preview": "                                 Apache License\n                           Version 2.0, January 2004\n                   "
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  {
    "path": "README.md",
    "chars": 634,
    "preview": "# qgss-2025\nQiskit Global Summer School: The Past, Present and Future of Quantum Computing\n\n# Launch on qBraid\n\nqBraid i"
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    "path": "community-labs/README.md",
    "chars": 4276,
    "preview": "# QGSS-2025-community-labs\n\n\nAs part of the future leaders in quantum hackathon: https://aiforgood.itu.int/the-future-le"
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    "chars": 867,
    "preview": "## Exclusive Access to Qiskit Functions\n\nAs part of Qiskit Global Summer School (QGSS), participants with a Premium or F"
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    "path": "functions-labs/algorithmiq/TEM_lab_validation.py",
    "chars": 5866,
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  {
    "path": "functions-labs/q-ctrl/grader.py",
    "chars": 4597,
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// ... and 3 more files (download for full content)

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