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An example of using SciML for quantum optimal control (courtesy of @caryan, but converted to use PyPlot)
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Quantum Optimal Control with SciML\n",
"\n",
"As an exercise with SciML let's use `ModelingToolkit.jl` to generate the the equations of motion for unitary evolution and then use `DiffEqFlux.jl`'s ability to differentiate and then optimize the parameters of a differential equation to implement quantum optimal control. We will define a toy problem Hamiltonian with time dependent controls. The unitary at any given time is the solution to the differential equations of motion. Then we can parameterize the time dependent controls as the coefficients of some set of basis functions and ask `DiffEqFlux` to optimize the control parameters such that the final state of the differential equation solution is as close to the target unitary as possible. In essense we get the GOAT algorithm [1] for quantum optimal control for free.\n",
"\n",
"# DRAG as a Quantum Optimal Control Toy Problem\n",
"\n",
"We will to work through the classic quantum optimal control problem of rediscovering the DRAG pulse shape [2]. Starting from the transmon qubit, the model is a three-level, weakly anharmonic oscilator, with the levels enumerated as $|0\\rangle$, $|1\\rangle$ and $|2\\rangle$. We would like to drive a unitary on the qubit subspace $|0\\rangle$, $|1\\rangle$. The nearby third level leads to two delterious effects from off-resonance driving of the $|1\\rangle \\leftrightarrow |2\\rangle$ transition: (1) population leakage to the $|2\\rangle$ state and (2) the Stark shift leads to a dynamic shift of the qubit frequency during the pulse.\n",
"\n",
"If we take the anharmonicity to be $\\Delta$ and work in the qubit rotating frame then the drift or natural Hamiltonian is:\n",
"$$\n",
"\\mathcal{H}_{drift} = \\begin{bmatrix}\n",
"0 & 0 & 0 \\\\\n",
"0 & 0 & 0 \\\\\n",
"0 & 0 & \\Delta\n",
"\\end{bmatrix}\n",
"$$\n",
"\n",
"We are then looking for the quadrature controls that will implement an X90 whilst minimizing leakage and the off-resonance effect from the third level. With control over the amplitude and phase of the pulse the quadrature control Hamiltonians are $X = a + a^\\dagger$ and $Y = i(a - a^\\dagger)$. In matrix form these are\n",
"$$\n",
"\\mathcal{H}_{X} = \\begin{bmatrix}\n",
"0 & 1 & 0 \\\\\n",
"1 & 0 & \\lambda \\\\\n",
"0 & \\lambda & 0\n",
"\\end{bmatrix}\n",
"$$\n",
"and\n",
"$$\n",
"\\mathcal{H}_{Y} = \\begin{bmatrix}\n",
"0 & -i & 0 \\\\\n",
"i & 0 & -i\\lambda \\\\\n",
"0 & i\\lambda & 0\n",
"\\end{bmatrix}\n",
"$$\n",
"\n",
"where in the harmonic approximation $\\lambda = \\sqrt{2}$.\n",
"\n",
"The analytical solutions come from the DRAG papers which tell us that quadrature controls the solution is to put the derivative of the $X$ control on the $Y$ channel. Now let's see if we end up finding something similar to that from numerical optimal control.\n",
"\n",
"[1]: Machnes, S., Assémat, E., Tannor, D., & Wilhelm, F. K. (2018). Tunable, Flexible, and Efficient Optimization of Control Pulses for Practical Qubits. [Physical Review Letters, 120, 150401](https://doi.org/10.1103/PhysRevLett.120.150401).\n",
"[2]: Motzoi, F., Gambetta, J. M., Rebentrost, P., & Wilhelm, F. K. (2009). Simple Pulses for Elimination of Leakage in Weakly Nonlinear Qubits. [Physical Review Letters, 103 (11), 110501](https://doi.org/10.1103/PhysRevLett.103.110501)."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Julia Version 1.4.0\n",
"Commit b8e9a9ecc6 (2020-03-21 16:36 UTC)\n",
"Platform Info:\n",
" OS: macOS (x86_64-apple-darwin18.6.0)\n",
" CPU: Intel(R) Core(TM) i9-9880H CPU @ 2.30GHz\n",
" WORD_SIZE: 64\n",
" LIBM: libopenlibm\n",
" LLVM: libLLVM-8.0.1 (ORCJIT, skylake)\n"
]
}
],
"source": [
"versioninfo()"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\u001b[32m\u001b[1mStatus\u001b[22m\u001b[39m `~/.julia/environments/v1.4/Project.toml`\n",
" \u001b[90m [6e4b80f9]\u001b[39m\u001b[37m BenchmarkTools v0.5.0\u001b[39m\n",
" \u001b[90m [336ed68f]\u001b[39m\u001b[37m CSV v0.6.2\u001b[39m\n",
" \u001b[90m [276b0191]\u001b[39m\u001b[37m Cliffords v0.6.0\u001b[39m\n",
" \u001b[90m [a93c6f00]\u001b[39m\u001b[37m DataFrames v0.21.2\u001b[39m\n",
" \u001b[90m [864edb3b]\u001b[39m\u001b[37m DataStructures v0.17.17\u001b[39m\n",
" \u001b[90m [31a5f54b]\u001b[39m\u001b[37m Debugger v0.6.4\u001b[39m\n",
" \u001b[90m [aae7a2af]\u001b[39m\u001b[37m DiffEqFlux v1.12.1\u001b[39m\n",
" \u001b[90m [41bf760c]\u001b[39m\u001b[37m DiffEqSensitivity v6.19.3\u001b[39m\n",
" \u001b[90m [0c46a032]\u001b[39m\u001b[37m DifferentialEquations v6.14.0\u001b[39m\n",
" \u001b[90m [31c24e10]\u001b[39m\u001b[37m Distributions v0.22.6\u001b[39m\n",
" \u001b[90m [f67ccb44]\u001b[39m\u001b[37m HDF5 v0.13.2\u001b[39m\n",
" \u001b[90m [7073ff75]\u001b[39m\u001b[37m IJulia v1.21.2\u001b[39m\n",
" \u001b[90m [a98d9a8b]\u001b[39m\u001b[37m Interpolations v0.12.10\u001b[39m\n",
" \u001b[90m [682c06a0]\u001b[39m\u001b[37m JSON v0.21.0\u001b[39m\n",
" \u001b[90m [2fda8390]\u001b[39m\u001b[37m LsqFit v0.10.0\u001b[39m\n",
" \u001b[90m [961ee093]\u001b[39m\u001b[37m ModelingToolkit v3.8.0\u001b[39m\n",
" \u001b[90m [429524aa]\u001b[39m\u001b[37m Optim v0.21.0\u001b[39m\n",
" \u001b[90m [9b87118b]\u001b[39m\u001b[37m PackageCompiler v1.1.1\u001b[39m\n",
" \u001b[90m [91a5bcdd]\u001b[39m\u001b[37m Plots v1.4.0\u001b[39m\n",
" \u001b[90m [d330b81b]\u001b[39m\u001b[37m PyPlot v2.9.0\u001b[39m\n",
" \u001b[90m [1fd47b50]\u001b[39m\u001b[37m QuadGK v2.3.1\u001b[39m\n",
" \u001b[90m [ee283ea6]\u001b[39m\u001b[37m Rebugger v0.3.3\u001b[39m\n",
" \u001b[90m [295af30f]\u001b[39m\u001b[37m Revise v2.7.2\u001b[39m\n",
" \u001b[90m [276daf66]\u001b[39m\u001b[37m SpecialFunctions v0.10.3\u001b[39m\n",
" \u001b[90m [e88e6eb3]\u001b[39m\u001b[37m Zygote v0.4.20\u001b[39m\n"
]
}
],
"source": [
"import Pkg; Pkg.status()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"┌ Info: Precompiling PyPlot [d330b81b-6aea-500a-939a-2ce795aea3ee]\n",
"└ @ Base loading.jl:1260\n"
]
},
{
"data": {
"text/plain": [
"Plots.PyPlotBackend()"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"using LinearAlgebra: I\n",
"using SparseArrays: sparse\n",
"\n",
"using DifferentialEquations\n",
"using DiffEqFlux: sciml_train\n",
"using DiffEqSensitivity: ForwardDiffSensitivity\n",
"using ModelingToolkit\n",
"using Optim\n",
"using Zygote\n",
"\n",
"using Plots\n",
"pyplot()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Analytical DRAG Solution\n",
"\n",
"For reference let's take a look at the analytical solution from [1,2]. If we fix the pulse time to $T_{gate}$ and start with a Gaussian pulse shape on the X quadrature:\n",
"\n",
"$$\n",
"\\Omega_x(t) = A_x \\left( \\exp\\left[ -\\frac{\\left(t-\\frac{T_{gate}}{2}\\right)^2}{2\\sigma^2} \\right] - \\exp\\left[-\\frac{T_{gate}^2}{8\\sigma^2}\\right] \\right)\n",
"$$\n",
"\n",
"then the analytical solution for the Y quadrature is:\n",
"\n",
"$$\n",
"\\Omega_y(t) = -\\frac{\\lambda^2 \\frac{d\\Omega_x(t)}{dt}}{4\\Delta}\n",
"$$\n",
"\n",
"\n",
"\n",
"[1]: Motzoi, F., Gambetta, J. M., Rebentrost, P., & Wilhelm, F. K. (2009). Simple Pulses for Elimination of Leakage in Weakly Nonlinear Qubits. [Physical Review Letters, 103 (11), 110501](https://doi.org/10.1103/PhysRevLett.103.110501).\n",
"\n",
"[2]: Gambetta, J., Motzoi, F., Merkel, S., & Wilhelm, F. (2011). Analytic control methods for high-fidelity unitary operations in a weakly nonlinear oscillator. [Physical Review A, 83(1), 012308](https://doi.org/10.1103/PhysRevA.83.012308)."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
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"
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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",
"text/plain": [
"PyPlot.Figure(PyObject <Figure size 600x400 with 1 Axes>)"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# natural units of GHz and ns\n",
"Tgate = 30\n",
"σ = Tgate/4\n",
"Ωx(t) = exp(-(t-Tgate/2)^2/(2σ^2)) - exp(-Tgate^2/8σ^2)\n",
"\n",
"Ωy(t, λ, Δ) = -(λ^2/4Δ)*Ωx'(t)\n",
"\n",
"p = plot()\n",
"times = range(0, Tgate; length=51)\n",
"plot!(times, Ωx.(times), label=\"Ωx\")\n",
"plot!(times, Ωy.(times, √2, -0.2), label=\"Ωy\")\n",
"xlabel!(p, \"Time (ns)\")\n",
"ylabel!(p, \"Pulse Amplitude\")\n",
"display(p)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Equations of Motion\n",
"\n",
"Under some Hamiltonian $H(t)$ the unitary $U$ evolves under the equation of motion\n",
"\n",
"$$\n",
"\\frac{dU}{dt} = -iHU\n",
"$$\n",
"\n",
"so for a $D$ dimensional system we have $D^2$ complex equations or $2D^2$ real equations to solve. I had trouble with complex equations and `DiffEqFlux.jl` even though the inputs and loss functions are real (see [this issue](https://github.com/SciML/DiffEqFlux.jl/issues/74)) so we'll use the usual trick of splitting a complex matrix into real and imaginary components and stacking appropriately so that the $D \\times D$ matrix of complex equations of motion becomes a $2D \\times 2D$ matrix of real equations of motion.\n",
"\n",
"$$\n",
"U = U_r + iU_i \\rightarrow\n",
"\\begin{bmatrix}\n",
"U_r & -U_i \\\\\n",
"U_i & U_r\n",
"\\end{bmatrix}\n",
"$$\n",
"\n",
"Since there left half of the stacked form aleady has both the real and imaginary components we care only about the first $D$ columns of the output."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"3-element Array{Equation,1}:\n",
" Equation(derivative(Uᵣ₁ˏ₁(t), t), Uᵢ₂ˏ₁(t) * Ax + -1.0 * Uᵣ₂ˏ₁(t) * Ay)\n",
" Equation(derivative(Uᵣ₂ˏ₁(t), t), Uᵢ₁ˏ₁(t) * Ax + Uᵣ₁ˏ₁(t) * Ay + 1.4142135623730951 * Uᵢ₃ˏ₁(t) * Ax + -1.4142135623730951 * Uᵣ₃ˏ₁(t) * Ay)\n",
" Equation(derivative(Uᵣ₃ˏ₁(t), t), Uᵢ₃ˏ₁(t) * Δ + 1.4142135623730951 * Uᵢ₂ˏ₁(t) * Ax + 1.4142135623730951 * Uᵣ₂ˏ₁(t) * Ay)"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# TODO: explore variables that are functions i.e. Ax(..)\n",
"# TODO: figure out how to make λ a variable but still work with complex2real\n",
"@parameters t Δ Ax Ay \n",
"@variables Uᵣ[1:3,1:3](t) Uᵢ[1:3,1:3](t)\n",
"@derivatives D'~t\n",
"\n",
"# quadrature control Hamiltonians\n",
"Hx = ComplexF64[[0 1 0];[1 0 √2]; [0 √2 0]]\n",
"Hy = ComplexF64[[0 -1im 0];[1im 0 -1im*√2]; [0 1im*√2 0]]\n",
"\n",
"# DiffEqFlux does not seem to handle complex so we use the usual trick to turn a complex matrix M = Mr + Mi into a real matrix [Mr -Mi;Mi Mr]\n",
"complex2real(A) = vcat(hcat(real(A), -imag(A)), hcat(imag(A), real(A)))\n",
"\n",
"Hdrift = zeros(3,3)\n",
"Hdrift[3,3] = 1\n",
"\n",
"# bring the -1im in here before we separate real and complex\n",
"Htot = Δ * sparse(complex2real(-1im*Hdrift))\n",
"Htot += Ax * sparse(complex2real(-1im*Hx))\n",
"Htot += Ay * sparse(complex2real(-1im*Hy))\n",
"\n",
"# equation of motion dU/dt = -iHU\n",
"U = vcat(hcat(Uᵣ, -Uᵢ), hcat(Uᵢ, Uᵣ))\n",
"\n",
"rhs = (Htot * U)[:, 1:3]\n",
"rhs = simplify.(rhs)\n",
"lhs = D.(vcat(Uᵣ, Uᵢ))\n",
"\n",
"eqs = lhs .~ rhs\n",
"\n",
"# loook at some of the equations\n",
"eqs[1:3,1]"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
":((var\"##MTIIPVar#411\", var\"##MTKArg#407\", var\"##MTKArg#408\", var\"##MTKArg#409\")->begin\n",
" @inbounds begin\n",
" let (Uᵣ₁ˏ₁, Uᵣ₂ˏ₁, Uᵣ₃ˏ₁, Uᵢ₁ˏ₁, Uᵢ₂ˏ₁, Uᵢ₃ˏ₁, Uᵣ₁ˏ₂, Uᵣ₂ˏ₂, Uᵣ₃ˏ₂, Uᵢ₁ˏ₂, Uᵢ₂ˏ₂, Uᵢ₃ˏ₂, Uᵣ₁ˏ₃, Uᵣ₂ˏ₃, Uᵣ₃ˏ₃, Uᵢ₁ˏ₃, Uᵢ₂ˏ₃, Uᵢ₃ˏ₃, Δ, Ax, Ay, t) = (var\"##MTKArg#407\"[1], var\"##MTKArg#407\"[2], var\"##MTKArg#407\"[3], var\"##MTKArg#407\"[4], var\"##MTKArg#407\"[5], var\"##MTKArg#407\"[6], var\"##MTKArg#407\"[7], var\"##MTKArg#407\"[8], var\"##MTKArg#407\"[9], var\"##MTKArg#407\"[10], var\"##MTKArg#407\"[11], var\"##MTKArg#407\"[12], var\"##MTKArg#407\"[13], var\"##MTKArg#407\"[14], var\"##MTKArg#407\"[15], var\"##MTKArg#407\"[16], var\"##MTKArg#407\"[17], var\"##MTKArg#407\"[18], var\"##MTKArg#408\"[1], var\"##MTKArg#408\"[2], var\"##MTKArg#408\"[3], var\"##MTKArg#409\")\n",
" var\"##MTIIPVar#411\"[1] = Uᵢ₂ˏ₁ * Ax + -1.0 * Uᵣ₂ˏ₁ * Ay\n",
" var\"##MTIIPVar#411\"[2] = Uᵢ₁ˏ₁ * Ax + Uᵣ₁ˏ₁ * Ay + 1.4142135623730951 * Uᵢ₃ˏ₁ * Ax + -1.4142135623730951 * Uᵣ₃ˏ₁ * Ay\n",
" var\"##MTIIPVar#411\"[3] = Uᵢ₃ˏ₁ * Δ + 1.4142135623730951 * Uᵢ₂ˏ₁ * Ax + 1.4142135623730951 * Uᵣ₂ˏ₁ * Ay\n",
" var\"##MTIIPVar#411\"[4] = -1.0 * Uᵢ₂ˏ₁ * Ay + -1.0 * Uᵣ₂ˏ₁ * Ax\n",
" var\"##MTIIPVar#411\"[5] = Uᵢ₁ˏ₁ * Ay + -1.4142135623730951 * Uᵢ₃ˏ₁ * Ay + -1.0 * Uᵣ₁ˏ₁ * Ax + -1.4142135623730951 * Uᵣ₃ˏ₁ * Ax\n",
" var\"##MTIIPVar#411\"[6] = 1.4142135623730951 * Uᵢ₂ˏ₁ * Ay + -1.4142135623730951 * Uᵣ₂ˏ₁ * Ax + -1.0 * Uᵣ₃ˏ₁ * Δ\n",
" var\"##MTIIPVar#411\"[7] = Uᵢ₂ˏ₂ * Ax + -1.0 * Uᵣ₂ˏ₂ * Ay\n",
" var\"##MTIIPVar#411\"[8] = Uᵢ₁ˏ₂ * Ax + Uᵣ₁ˏ₂ * Ay + 1.4142135623730951 * Uᵢ₃ˏ₂ * Ax + -1.4142135623730951 * Uᵣ₃ˏ₂ * Ay\n",
" var\"##MTIIPVar#411\"[9] = Uᵢ₃ˏ₂ * Δ + 1.4142135623730951 * Uᵢ₂ˏ₂ * Ax + 1.4142135623730951 * Uᵣ₂ˏ₂ * Ay\n",
" var\"##MTIIPVar#411\"[10] = -1.0 * Uᵢ₂ˏ₂ * Ay + -1.0 * Uᵣ₂ˏ₂ * Ax\n",
" var\"##MTIIPVar#411\"[11] = Uᵢ₁ˏ₂ * Ay + -1.4142135623730951 * Uᵢ₃ˏ₂ * Ay + -1.0 * Uᵣ₁ˏ₂ * Ax + -1.4142135623730951 * Uᵣ₃ˏ₂ * Ax\n",
" var\"##MTIIPVar#411\"[12] = 1.4142135623730951 * Uᵢ₂ˏ₂ * Ay + -1.4142135623730951 * Uᵣ₂ˏ₂ * Ax + -1.0 * Uᵣ₃ˏ₂ * Δ\n",
" var\"##MTIIPVar#411\"[13] = Uᵢ₂ˏ₃ * Ax + -1.0 * Uᵣ₂ˏ₃ * Ay\n",
" var\"##MTIIPVar#411\"[14] = Uᵢ₁ˏ₃ * Ax + Uᵣ₁ˏ₃ * Ay + 1.4142135623730951 * Uᵢ₃ˏ₃ * Ax + -1.4142135623730951 * Uᵣ₃ˏ₃ * Ay\n",
" var\"##MTIIPVar#411\"[15] = Uᵢ₃ˏ₃ * Δ + 1.4142135623730951 * Uᵢ₂ˏ₃ * Ax + 1.4142135623730951 * Uᵣ₂ˏ₃ * Ay\n",
" var\"##MTIIPVar#411\"[16] = -1.0 * Uᵢ₂ˏ₃ * Ay + -1.0 * Uᵣ₂ˏ₃ * Ax\n",
" var\"##MTIIPVar#411\"[17] = Uᵢ₁ˏ₃ * Ay + -1.4142135623730951 * Uᵢ₃ˏ₃ * Ay + -1.0 * Uᵣ₁ˏ₃ * Ax + -1.4142135623730951 * Uᵣ₃ˏ₃ * Ax\n",
" var\"##MTIIPVar#411\"[18] = 1.4142135623730951 * Uᵢ₂ˏ₃ * Ay + -1.4142135623730951 * Uᵣ₂ˏ₃ * Ax + -1.0 * Uᵣ₃ˏ₃ * Δ\n",
" end\n",
" end\n",
" nothing\n",
" end)"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# now use ModelingToolkit to build a specialized function for these equations\n",
"# ODESystem expects 1D arrays so vec both sides\n",
"# use explicit form to get consistent order of parameters\n",
"# sys = ODESystem(vec(eqs))\n",
"sys = ODESystem(vec(eqs), t, vec(vcat(Uᵣ, Uᵢ)), [Δ, Ax, Ay])\n",
"\n",
"# second return value is in-place version and we'll go head and evaluate the expression\n",
"display(generate_function(sys; expression=Val{true})[2])\n",
"dudt = generate_function(sys; expression=Val{false})[2]\n",
"nothing"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"# build the DE function with time dependent controls\n",
"\n",
"# basis of sinusoids to ensure the pulse goes to zero and the start and finish\n",
"# the parameters `p` give the N basis coefficients: with 1:N for the X controls and N+1:2N for the Y controls\n",
"function controls(t, p)\n",
" num_controls = length(p) ÷ 2\n",
" Ax = sum(a*sinpi(ct*t/Tgate) for (ct,a) in enumerate(p[1:num_controls]))\n",
" Ay = sum(a*sinpi(ct*t/Tgate) for (ct,a) in enumerate(p[(num_controls+1):end]))\n",
" Ax, Ay\n",
"end\n",
"\n",
"# wrapper function evaluates the time dependent controls and then passes them on\n",
"function dudt_wrapped(du, u, p, t)\n",
" (Ax, Ay) = controls(t, p[2:end])\n",
" dudt(du, u, [p[1], Ax, Ay], t)\n",
"end\n",
"\n",
"UId = complex2real(Matrix{ComplexF64}(I, 3, 3))\n",
"U₀ = vec(UId[:, 1:3])\n",
"nothing"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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pTN6p8cROjb7BEveGy8TVkco00VewrdnH5rPlwi7e7PwinYLbGR2H+yNHklucx0f7vsLs5Eafet2NjmSImjVrkpiYaJe+RIFVRVg0lTd2vMfha8eY3v1VGgUYs46TVphPxi8fUhC/FY+uQ/Ee+BAvacU8tvofTN0yjS/7vIu7A67PcqecaoQS+MzHZPzyIenfvUnx71/rnS6Aai/XC3R+PaPxU5LOrms67iYYHCrxfjuZnrUknMQWMJWKh5PEmPoSY+rLXM3//Wd7Wmf0RhUPJxhSR+K+cJketSRM4mdrd7su7mPmoZ94oOkohyiuoHTO36ToB8kryeffv32C2cmNzsHtjY5VpTnGrVtChWi6xvTfPmFnyl5e7/QCUUFNDclRcjmZax9MoTBhH37jpuIz+BEkxYS7k5m3urxIWkE6b+/8EE3XDMlnbbKrGb8HXsR7yGPkbl3C9c9eQM1KMzrWDRZNZ+FZjf6rLdT4ycJTuzT8XOCnbgpXx5iY3c1E32BZFFeVXJBZ4olIhd8GmUgaZeL5ZjJ7ruv0Wa1S62cLT+1SScgQG13by4Xsi7y54wPa12rFuKaOtdi2JEk822YiXYLb88b299h7Od7oSFWaKLAqOV3X+XjfN6w9u5mpMU8RU7u1ITny92/i2n+eBMVE4LMfY27R6abPh3jV5qWYZ9iRsocfjv5qSEZbkCQJzy6DqfbEu1jSrnD13ccpPHXI0ExX8nX+dUAl9BcLw9arpBfBxzEyl+4zsbyPiXvDZTG3qooK85J4OVohYYSJfYNNjAmXmXNao/F8Cz1WWFhwVsOiiWLLVvJK8pm65W383Hx4qcMzyJLjvcQqssLUmKeJrt6cl7a8zdHrCUZHqrIc76cv3JGZh35i0ckVPNNmIj1CO9u9f91STMb8z0j/8d+4NetA4FMf/u2k75jarXmw2Wi+OzyHHSm77ZzUtlzqNibouc9wqhFK6ucvkr1+Lrpmv5E6XdfZdlnjng0Wgn+28M4hjX7BEgeHmtg1yMSkxopYLfwuIkkSLatJvN9O4fxoEz93UyhSYfj60sL7jQMql/NFoWVNmq7x9s4PSS1I560u/3ToqRBOihNvdHqBBv7hvLDpX5xKP2N0pCpJFFiV2JzjC/nx2LzfF/WMtXv/loxrXPv4H+TtWo3PiCfwve8ft122YGzkCDoFt+PNHf/hXJZ1b4k1muLpQ8DEt/DsOZLs5d+R9u0baPm5Nu0zt0Tny+MqzRda6Lxc5WCaznvtZC7ea+KrTqY/beEi3H1cFInR4TLb40zEDzXRP1jm34c0Qn62cM8GC1svaxi0oUeV8uPReWxP2c3UmKcJ8XL8m3lcTS5M6/oStTxr8NzG1zifXbX+Ht+pjRs30rZtWxo3bkxkZCRTp06t8O+FKLAqqaWnVvPlwe8Z22QE9zQeYvf+CxP3c+29yWg5GQQ++R4eHfqX6e4zWZL5Z/snCXQP4KWtb5NbnGeHtPYjyQre/cfh//BrFJ0+ytX3n6A4Jcnq/SRm6kzZqVLrJwuP79QI85RY16/00tCTkQo+LqKwEv6sub/EjE4KF+818X47mfg0nS7LVZotsPDFcZXcElFolceOlD18e/hnHmp2Lx1qtzE6Tpm5O5mZ3u1VfFy9eGbDK1zJvWZ0JMP4+voyZ84cjh8/zr59+9iyZQtz5sypUJuiwKqEjl5P5IM9XzIkoj/jm99n9/7z9m0gdcbLOAVHEPjcpziHNLij55udzLzV+Z+kF2Ty5s7/VJlJ7//NLbIdQc9+guxm5vrHz1KUdNgq7e6+pjForYVG8yzMPaPxRBOZ5HtMLOptomctWWypIpSJj4vElMjSgnx9P4UIb4kndmqEzLHw6n6VtEJRaJXVuawU3tr5HzrWbsvYyBFGx7ljPq5evN/9dUyyialb38aiqUZHsql3332XRx999MbHmZmZBAQEUKdOHerVqweAq6srLVq04MyZil06FQVWJWPRLLy3+3Ma+IfzRMvxdl+zKH//JjJ+eh9z654EPPIGirtXudqp7VWTlzs8w28X9zHryC9WTukYTAE1CJzyAc6hjUj96mWKTh8pVzu6rrPhokaPFRbaLVE5maXzXZfSuTVvtlYI9hBFlVA+kiTRo5bMgl4mzt5jYlx9mfcOa9SZY+HZ31Qu5olC61Zyi/N4aevbBLj5MTXmKYec1F4WAWZ/Xuv4D85knmPBiWVGx7GpCRMmsHjxYrKysgCYOXMmgwYNummz8itXrjB//nz69etXob4cc9Ee4W/NTVjM+ewLzOjzvt13R88/sJn02e9ibt0D33ueqvAGze1qtWJ88/v45tBs6vvWc5j1YqxJcnbB/+HXSPv6VVJnvEzAY2/iUi+yTM/VdJ2l53SmxWvsua7TMkBiQU+FwaFi81/B+oI9JD5or/DPKJmPj2p8ckzj02MaD0RIPN9MIdxbHHP/TdM13tr5H9ILMvmyz7uYHXhSe1k09K/PkIh+fHvoZ7oEx1DdI9DqfWjFhViuXrB6u38wBQXfdrcQHx8fhg0bxqxZs5gyZQpffPEF8+bNu/H57OxsBg4cyPPPP090dHTF8lTo2YJdXcq5wqwjcxnRMI76fvXs2nf+wa2k/zgdc6vuVimu/jCmyXBOZZzhrZ3/4cs+7xLqHWKVdh2J7OyK/8Ovk/b1K6VF1qNv4lKvyd8+3qLp/HJaZ1q8yvFM6FJDYk1fhV61xCrrgu0FuEq80UrhuWYyXyaUbjo984SFUfUk/q+5QjNx4wQA3x+Zy66L+3in60sEe9UyOo5VPNz8Prae38WHe2cwretLVv97Y7l6gWvvP2HVNv9b4LOf4Bxc/7aPmzJlCoMHDyYsLIygoCCioqIAyMnJoU+fPsTFxfHMM89UOI8osCoJXdf5z94v8XXxZlyz0XbtOz9+G+k/voO5ZVd8Rz+NZMWRM0mS+L92U5i05oUbK717OntYrX1HIbu44j/hDVK/evn/j2TVbXzTYwotOrNOakw/rHE2BwaESHzdWSYmqHJedhAqNy9nieebKzzRRC49Lg9pNF9oYUCIxD9byLS/i4/LbRd+Y9aRX3i4+Rja1WpldByrMTuZebL1I7y0dRpbL+yiS0iMVds3BQUT+OwnVm3zf9svi4YNGxIaGsrEiROZPn06ALm5ufTp04fY2Fhefvll6+SxSiuCzW08t409lw8yrctLuJnst2Fy/qHtpP8wDbeoLvje+6xVi6s/mJ3ceKvLizyy+lk+3DuDlzs8a/U+HIHs4krAI2+QOuNlUr98iYCJb4FXEBZNZ9ZJndcOqFzOh5H1JBb1UmguRgoEB+BmkpjYWOHhhvKNkdWYpSqxtTWmtVaICri7jtO0ggym7fqILsHtGdNkuNFxrK5TcDs61m7LR/u+omX15ng4u1utbdnZtUwjTPYwYcIEJk+ezPDhpT/Djz76iD179pCXl8eiRYsAGDFiBFOnTi13H3fvKUglklOUyyf7v6FLSIxdV2ovOLyD9O+n4da8E373PmeT4uoPtTxrMCn6IdYnb+VY6gmb9WM02cWNgEfewKlmKKlfTmVzfDKR8y1M2KbSubpE4ggTc7qbRHElOBwnWWJsfZmjw03M66GQnKMTvcjC6I0WzuTePcfrzEOzUSSFf7SdXGUv2T/ZagL5JQV8c2i20VFsZsOGDUyaNAknJycApk6dSklJCfHx8TfeKlJcgSiwKoUZ8T9QrJYwpeXDduuz4Mgu0ma9jVuzDviNeR5Jsf2E+j51uxHuW5dP931TpRc+lF3NHI17gwTnOjRY/hZdtSQODDHxc3cT9cVEYsHByZLE8HqlhdbXnRS2XdFpv9adSdtVrlTx1eFPpZ9h5ekNPNhsNJ4uVW8qwx8C3asxvvl9LD65iuNV7IT30qVLNGzYkPj4eJ566imb9iUKLAd35FoCy5LWMKHFWALM/nbps+Dob6TNegu3ZjH4jX3BLsUVlO6RNbnleI6nnWR98la79Glv+6/r9F5pocd6F95q/jpKtZq8fOhlmhRYfzFSQbAlkyzxcEOZUyNNvNSkiF/OaITNtfDSXpWs4qpXaOm6zmcHviXYq5YhO2fY29CI/kT41eO93Z9j0SxGx7GamjVrkpiYyM6dO/H09LRpX6LAcmAlagnv7/mcxv4RxIXb5xe64Nhu0r57E7fIdnYtrv4QFdSUTsHt+Cr+BwotRXbt25ZOZuqM2mCh1WILKXk6i3opbBzqSbUHXsBUrRbXv3jRJiu+C4KtuZkknmhQwplRJp6MlPngiEa9Xyy8f1il0FJ1Cq0dKXs4ePUIj0c/iEmu+tOXFVnh2TaTOJt1nnmJS42OUymJAsuBzU1YwvnsFJ5tO8kua14VHN9L2rdv4tqkDX73/x+SYswfkceixpFemMmvCUsM6d+aruTrPLZNpfF8C7uu6nzbWeHwMBODQ2UkSUJyNVPtsbcwBdQk9fMXKU45bXRkQSgXHxeJt1srJI0yMbKezAt7NOr/auHbExqqVrkLrRK1hM8PfkebGlG0rdnS6Dh208A/nGEN+vPd4Tlczr1qdJxKRxRYDupizmW+PzqXEQ0HEe5b1+b9FV86Q/qsN3Ft1BL/+180rLgCqO1Zg2ENBvDz8QWk5qcZlqMiilWd9w+rRPxqYd5ZjX+3kTk50sSDDWRM8s3zrGSzB9UeexvFvzqpX7+CmlU5v2ZBAKjpLvFFx9JteGKCJMZvVWm7RGXX1cq7JdbCkyu5knuVSdEPVdmJ7X/noWb34uXiyYd7Z1TpubG2IAosB6TrOh/s+RI/Vx/GNbvH5v2puVmkffM6psDapSNXJieb93k7YyNH4Kw4882hn4yOcsfWpZSuF/T8Ho3765fOUXm2mYKr6e//MMtmDwIefg2AtG//hW4ptk9YQbCR+t4Sc3uY2BGnoKMTs1Tlgc2WSjcRPrMwmx+OzGVAeCx1fareQsi3Y3Yy81SrR/nt0n42nd9hdJxKRRRYDmh98lb2XYnn6daP2XzNK121kP792+jFhfiPf/W22wzYi6ezBw82G83qMxs5mV45LpudzdYZus5C71Uqga4SB4eY+LSDgp9r2c54FW9/Ah56heKLp8n49VNxtihUCTFBMnsGmZjRUWHFeZ2IXy28d1ilWK0cx/esI3MAeMjOCzw7ko7BbekU3I5P9n1DTnGu0XEqDVFgOZjsohw+OzCTbiEdaFfL9tf6sxZ/RdHpo/g/+BImX+vvPVURA8NjqeNdm8/2f+vQxUa+RefV/aXzrPZc15nTXWHzgPJtKeJcpwG+I58kf89a8raJiaVC1aDIEo80kjk1ysQD9UvnZzVbYGFtimNfNkzOOs/SU6sZGzkCH1dvo+MYakqrCRRYCvg6vmqujbVr1y5atGhBixYtaNKkCY8++ihFRRW70UoUWA7mjzWvnmhl+zWv8n5bQ+62pfgMnYhLWFOb93enTLLCpOiHiL92lG0pvxkd5090XWf+GY1G8yy8E6/xTFOZxBEm7gmTKzRPw71NTzy6DCFz8QwKT8ZbMbEgGMvXReKTDgoHh5gIcpOIXaUyZK2Fs9mOeQL1+YFZVHcPZGiDAUZHMVygOYCHm49h6anVHL2eaHQcq2vevDl79+4lPj6eI0eOcP36dWbMmFGhNkWB5UAOXTvG8qS1PNLifvzd/GzaV9HZ42TM+xT39n1x79Dfpn1VRNua0bSpEc0XB2ZRrJYYHeeGY+k6vVaqjNig0sxP4thwE2+1VvBwss4EWO+4h3EJb076929jSbtilTYFwVE085fYPEBhTneFvak6jeZbeGWfSr4DLeuw59IBdl/az2NR43BWjJ+X6giGRPSr9Gtjvfvuuzz66KM3Ps7MzCQgIIDCwsIbq7oXFxdTUFCALFesRBIFloPQdI2P931duuaVjRexUzNTSfvuXziH1Mdn2CSHvyvm8ZYPcjXvGgtPLDc6CoUWnal7VVostHAuV2dFrMKyWBPhVl6BXVIU/B/4J5KrO2kzX0crKrBq+4JgNEmSuCdM5sQIE882lfn3IY0m8xzjsqFFU/nswLe0CIykU3A7o+M4DEVWeK7t45zLvsCSU6vv+PmFliJOpp+22VtZ1k6cMGECixcvJisrC4CZM2cyaNAg/Pz8SE5OpkWLFgQEBODl5evBEAsAACAASURBVMUjjzxyx1/jf6v6q6VVErsu7iUp4ywf93wbWbJd3auXFJP67RtIsoL/Qy87xB2DtxPqHcLA8Fh+OPorfep1N2wuxNbLGhO2qSTnwMvRMi80l3FRbFecyu6eBDz8Ktc+fJqMn9/Hb9xUhy+GBeFOuTtJvNVaYVyEzKPbVGJXqTxQX+P9dgr+ZbxBxNqWJ63lXFYKU/s+LX7n/keEXxg9Qzsz5/hC4sJjcbqD0b3z2SlMWPWMzbJ93fcDIvzCbvkYHx8fhg0bxqxZs5gyZQpffPEF8+bNAyA0NJT4+Hhyc3MZM2YMCxcu5J57yn8nvyiwHICu6/x4dB7NqjWmeVATm/aTMfcjSi4nEzjlfRRPX5v1ZW0PNruX9clb+fbwHJ5p85hd+84q1nlht8aMRI2YIIlFvRQa+9rnj65TjVD87vsHad++Qc66OXj1vtcu/QqCvdX3ltjQX+G7kzrP/qay8oKFj2MURtWT7Frk5BTn8u3hn4mt1+22L9Z3q/uaDGfd2S2sObuJAeG9y/y8EK/afN33A5vlCvGqXabHTZkyhcGDBxMWFkZQUBBRUVE3fd7Dw4N77rmHn376SRRYld3+K4dISDvFu91etWk/uVsWkb9vA35jX8A5uL5N+7I2H1cv7m86ki8Pfs+QiH52W49mSbLGpB0q2SXwaYzMxMYysp3PaN2axeDVZyzZK3/AqUZd3Jq2t2v/gmAvkiTxUAOJvsEST+xUGb1R5ackic87KAR72Of3bvbReRSrxUxoPsYu/VVGod7BdA5ux8/HFtCnXg9MZdxpxNXk4hBFa8OGDQkNDWXixIlMnz4dgNOnTxMSEoKTkxPFxcUsXLiQZs2aVagfMQfLAfx4dB4N/MJoXSPq9g8up8ITB8ha8g0e3UdgbtnNZv3Y0pCI/tRwD+TzA9/avK8r+Toj1lsYvE4lyl/i+HATjzdR7F5c/cGz92hcm8WQPns6JZeTDckgCPZSwywxv6eJhT0V9qfqNJlv4fPjKpqNl2u5mHOZ+SeWM7rxUALM/jbtq7IbEzmSi7lX2HRum9FRymXChAlYLBaGDx8OwObNm4mKiqJ58+ZERUURFBTEyy+/XKE+RIFlsCPXEoi/dpSxkSNtNgxuuX6JtO/fxqVBNN4DxtmkD3twVpx4LHocey4f5LeL+23Sh67rfHuidOmFLZdL17RaFmu/s+e/I8kyfvc+h+IXROrM19HycgzNIwj2MKSuzPHhJu4Nk3l8h0bnZSoJGbYrsr48+D2+rt6MajTYZn1UFRF+9WhXsyWzj81H042/MeFObdiwgUmTJt24c3D8+PEcPXqUQ4cOcezYMT755BNcXSu28LYosAz247F51PUOoUPtNjZpXyvMJ3Xmayju3vjf/39Idtg02pY61W5Hi8BIPj/wrdVvEz6drdNzpcr4rSpxdSQSrLCmlTXJrmYCxr+Knp9L2g/T0FXV6EiCYHM+LhJfdipdvPdagU6LhRb+dcD6K8EfvHqErRd28WiL+3E1uVi17apqbOQIkrMusD1lt9FRyuzSpUs0bNiQ+Ph4nnrqKZv2JQosA51IS2L3pf3c12S4ze4czJz3CWpGauk2OGYPm/RhT5Ik8XjL8ZzLTmHd2S1WaVPXdWYkqDRbYOF0ts7qPgrfdzUZdgfTrZgCauA37p8UnYwnZ90co+MIgt10qSFzaJiJZ5vJvH5Ao90SC8etOJr1TfxsGvnXp0doZ6u1WdVFVmtEVFBTfjw6z6F32/hvNWvWJDExkZ07d+Lp6WnTvkSBZaDZx+ZTy7MG3ep0tEn7+Qe2kL9/Ez4jHsepetXZpDTCrx7ta7VmbsKSCv9SX87XGbBG5bHtGmPCZY4ONxEb7Ni/Fq4RUXj2Hk322p8pPnfC6DiCYDduJom3WyvsHmSiUIXoRRY+PFLxuVlHrydyNDWRsZEjbLpMTlU0NnIEJ9NPs+fyQaOjOBxxJBnkbOZ5tl7YxX2Nh5X5Dow7oWamkjH/E9xadMLcsrvV2zfaqEaDOJt1jr0V+KVecFaj6XwL+1N1lscqzOhkvZXYbc2r92icaoeTPns6WlGh0XEEwa5aVpPYP8TEY41knv5No9dKlfO55S+yfk1YTLBnTdrXam3FlHeH6KBmNPaP4Mejv1aaUSx7Ecs0GOSnY/MJNAfQu25Xq7etaxrpP7+PZHLGd8QUh5lDZE0tAiNp4BfG3IQltKkZfUfPzSrWmbJT5YdTOkNDJb7sqFDNrXJ9jyTFhN99/+Dae5PJWvI1viOfMDqSINiVm0niw/YKA0Mkxm0pvcT/aYzCfeF3tm7WpZwrbEvZzdOtHxWjV+UgSRJjI0fy4pY3OXTtGC2CIv/0mISEBAOS2U5Zvx5RYBngYs5lNpzbxuSW4+9oFdyyyt22lKKTBwl47C1kd9teYzaKJEmMbDSYf+14n6SMs4T71i3T8zZf0nhgi0pGEXzfRWFsffsuYmhNTkHBeA96mMz5n+Ea2Ra3xra5UUIQHFmPWjJHhklM3qkydrPK0nMSX3Qs+yrw804sxdPZg9i6lXP5GkfQvlYrwn3r8uPReTcVWAEBAZjNZsaMqXpripnNZgICAm75GFFgGeDn4wvxdvFkQFgvq7ddcuUcWcu/xaNTHK4NW1q9fUfSNSSGGQe/59eEJfwz5tZ3gxRadKbu0/jgiEbXGhKzBijU8aychdV/c+8wgIKju8mY8x+cX/gCxcPH6EiCYHc+LhKzu5mIC9F4bIdK0wUWvu2s0Oc28ymzi3JYmbSeUY0H4yLuHCw3SZK4r8lwXt/+LgmpJ2kUEAFASEgICQkJpKamGpywbLKysvD2LttWbAEBAYSE3Hpusyiw7Oxa3nVWn9nI+Gb3Wf0XWreUkD57OibfILwHjrdq247IJJsY3jCOr+J/YEKLsVT7m4UBD6bqjN1s4VQWvN9W5qmm9l+N3VYkScJv9NNcnT6RjLkfl+4vWUW+NkG4UyPDZDpWl3hoq0rf1SoTG+m821bG/W/mVi49tQZN1xgS0c/OSaueLsHtCfGqxY/H5vF2l6k3/j8kJOS2hYijSE9Px8/Pz2rtiQvOdvZLwmLcTK4Mjuhj9bazV8+m5FIyfmOfR3K+O87GBoT3wkVxZuGJ5X/6nKbrvHtIpe0SCyYJ9g8x8Uwz41ZjtxXF2x/fkVMoPLKT/D3rjI4jCIaq6S6xqo/C5x1kZp3UiFpo4UDqnydfF6slLDy5nN71uuHrKkZ+K0qRFe5rMpwdKXs4nZFsdByHIAosO0ovyGR50lqGNxiI2cls1baLzhwlZ8M8vPqOrXT7DFaEu5OZgeG9WZq0hvySghv/f72gdPmF5/doPBUps2ewiUi/qlVY/Te35h0xt+5J5sIvsKRdMTqOIBhKkiQmNlaIH2rC0xnaL7Hw6TH1prvcNiRvJa0gg5ENBxmYtGrpGdqZ6u6BzD423+goDkEUWHY0L3EJsiQztEF/q7arFeaR/tN7OIc2xLP7CKu2XRkMazCAgpJCVp5eD8CWyxotFlrYd11nVR+F6W0VnJWqW1z9wWfYRGSzJ+mzp6NrYpV3QYjwkdgZV7qcwxM7NYatV8ko0tF1nV8Tl9C+ZivqeNc2OmaVYZJN3Nt4KJvObedC9kWj4xhOFFh2klOUy+KTqxgc0Q8vF+ve2Ze5cAZabhZ+9/0DSancW+GUR6B7NbrV6cC8xKW8tr+Y7itUIrwl4oeabjvJtSqRXd3xG/M8xckJ5GyYZ3QcQXAILorERzEKi3opbLqkE7XQwo8JBzmTeY5RjcWeg9bWJ6wHfm4+/HRsgdFRDHf3vPoYbMHJ5Vh01erD0QWHd5C/Zy0+Qx7DFFDDqm1XJj3qDuJK3jU+P7SLV6Jk1vdTqOle9Uet/pdLWCSe3UeQvepHilOSjI4jCA5jcKhM/FATNc0S7+9bhJdrPZpVa2J0rCrHRXFmVKMhrD27mSu514yOYyhRYNlBfkk+8xOXMSC8F35u1ptMqWankzH3Y1ybxmBu29tq7VY2ay5oDN5Qh3wi6RmwjFeiZRT57iuu/uDVdyxO1euQ/uN09OIio+MIgsOo4ynxXccL+CiH2Z01kAFrNK4XiNXHrS2ufiwezmbmHF9odBRDiQLLDpacWk2BpZDRjYZYrU1d18n45T8gy/iOqpqrtd9Oiabzf3tU+qxWaRkg8Ub7wVzMOcWR61Vr1eA7JZmc8Bv7PJa0y2Qt/87oOILgUBaeXEqgOYDvenRkf6pO84UWNl/SjI5VpbiZXBnRMI6Vp9eTVpBudBzDiALLxoosRfyasITYul0JdK9mtXbzdq6k8PhefO956q5cXPJcjk6XZSrvHdb4dxuZFX0UYuu2pI5XbeYmLDY6nuGcaoTiPeAhcrcupvDEAaPjCIJDSM1PY33yVoY3HEj/Os7EDzXRwFuix0qV1/erqJoYzbKWwRH9cFKc+DVhidFRDCMKLBtbdWYjmUXZ3NtkuNXatKReJmvJV7jH9MOtSVurtVtZrLqgEbXIwsV8nW0DFZ5vXrq2lSzJjGw0iB0pe0jJvmR0TMN5dB6ES0QLMn7+AK0wz+g4gmC4hSdW4Cw70f/3XTRqukus76fwarTMGwc1eq9SxSVDK/F09mBoRH+WnFpNTnGu0XEMIQosG9J1nSWnVhFTqzW1Pa0zAV3XdTLmf4Zs9sJ70ASrtFlZaLrOGwdU+q9WiQmUODjERPugmw/hXnW74uPqxa+JSw1K6TgkWcZ39DNoBTlkr/zB6DiCYKj8kgKWJK1mYP1YPJzdb/y/Iku8Eq2wvp/C0Qyd6EUW9lwTlwytYUiD/hSrJaw9u9noKIYQBZYNHUtN5EzmOQbVt96q7QWHtlGUuA+f4ZOQXdys1q6jyyzSGbRW5bX9Gq+1lFkaq+D3F5u5uijODInoz+ozG8gszDYgqWMx+Qbi1WcsuduWUXzhlNFxBMEwK0+vp6CkgGENBvzl57vVlNk/2EQtd4lOy1S+ThRFVkX5u/nSMbgtS0+tvmmR17uFKLBsaOmpNdTwCKJVjRZWaU8ryCNz4Ze4No3BLbK9VdqsDI6k67RabGH7FZ3lsQqvRN96u5tB9fsCsOTUKntFdGgeXQbjVKMOGb9+LBYgFe5KqqYy/8QyuoZ0JOgWc2Fre0hsGaDwUAOZR7apPLzVQqHl7isMrCkuPJbkrAt35c1HosCykZyiXDad38GAsN7IknW+zdkrv0cvzMdn6ESrtFcZzEnSaLfEgocJ9g0x0S/k9t9LH1cv+tTrwaKTKyhSi+2Q0rFJigmfEU9QkpJE3vY/79koCFXdtpTfuJx7lVGNbr8OoYsi8UVHhe+6KMxO0um0TOV8riiyyiu6ejNqeVRn6ak1RkexO1Fg2cias5tQNZW+YT2s0l7x+ZPkbl+GV9+xmHytdzeioyrRdJ7apXLvJpWhoRI7B5kI8yr7UhQjG8aRWZjN+rNbbJiy8nCp2xj39n3JWvE9amaq0XEEwW50XWfu8cW0CIqkgX94mZ83LkJmZ5yJ64U60QstrL8oLhmWhyzJDAiPZcv5HWQV3V3TNkSBZQO6rrP01Go6BbfD38234u2pKhm/foxTjbp4dK76WztcydfpsULls2Man8TI/NBVwWy6s3W+anvVpEPtNsxNWIymiz+MAN4DHkRyciZz8QyjowiC3Ry9nsjxtJOManjnfzujAyT2DzHRMkAidpXKv+PVu3IuUUX1DeuOhs6aM5uMjmJXosCygcPXjnMuO4W4+rFWaS93+zJKLp7GZ+SUKr/X4M6rGi0XWUjK1tk8QGFyE6Xci6iOajSYc9kp7Lkk1oECkM2e+Ax5lIL4bRQc32t0HEGwi7mJiwnxqk27Wi3L9Xx/V4mVfRRebC7zf3s1hq9XyS4WRdad8HX1oXNwe5YlrbmrClRRYNnA0qTV1PKsQVRQ0wq3pWamkr3yB9xj+uMS2tAK6RzXF8dVui5XqedZetbYoXrFDs+m1RrRyL8+v4iFR29wi+6KS0QUmQs+QysuNDqOINhUSs5ltl/YzchGgyo0F1aRJd5srbC4l8L6izptl1g4kXn3FArWEFc/lvPZF4m/dtToKHYjCiwryyzMZsv5nQwMt87k9sxFXyI5u+Ddf1zFwzmoEk1n0naVSTs0Hmsks3GAQg1zxbf+kSSJ4Q3jOHj1COezU6yQtPKTJAmfEZNRs9LIWTvH6DiCYFPLTq3B09mD3qFdrNLeoFCZvYNNyEDbJRbWXBDTD8qqRWAkIV617qrJ7qLAsrI1ZzcC0LdexSe3FxzfQ8Gh7fgMfgTZ7FHh9hxRWqFO7EqVb05ofNNJ4eMYBScrbtTcKbgdns4erDy9wWptVnZO1Wrh1fMecjbOp+RystFxBMEmLJqFNWc30qtuF1xMLlZrN8JHYtcgEx2DJPqtUfnoqJiXVRaSJDEgPJatF3aRWZhldBy7EAWWFZVObl9D5+AYfFy9K9SWVlxI5vzPcGkQjVt0V+sEdDDHM0qH2o9k6GzopzC+ofUPRxfFmV51u7DmzEYsmsXq7VdWnj1HYPKvTsa8T9E1cRYuVD2/XdxPRmHWjW1xrMnLWWJJb4Vnm8o8tUvjkW0qxaoosm6nT71uyEisOnN3nPCKAsuKDl49QkrOJatMbs9Z8zNqdjq+wyeXe5K3I1t5vnR9KzcF9g420amG7Q7F/mG9SC/MZPel/Tbro7KRTM74jJxC8Zmj5O9db3QcQbC6FafX0cAvnDDfUJu0r8gS09sqzOqi8MMpnZ4rxT6Gt+Pt4kWXkA4sO7Xmrri7WxRYVrT01GpCvGrTPLBJhdopuZxMzqYFePW6B1O1mtYJ5yB0Xef9wyoD1qh0qymxM85EqKdtC8hw37pE+IWJy4T/w7V+c8ytepC19BvU3LtjyF64O6QVpLP70n76hfW0eV8PRMhsGqBwIkunzWILR9JFkXUrcfVjuZh7hQNXDhsdxeZEgWUlGYWZbEvZTVz92AqNOOmaRsa8TzAF1MCzxwgrJjRekarz0FaV53ZrvNBcZlEvBU9n+4zO9Qvrya6Le0kryLBLf5WF96AJ6LpG1tJvjI4iCFaz5swmFNlEj9BOdukvJqh08ru3M8QstbD0XNUfnSmvptUaEeodzNKkqj/ZXRRYVrLq9AZkJGLrdqtQO/l71lJ85hg+I55AMjlbKZ3xrubrdF+hMue0zo9dFaa1ufV+gtbWs05nFEm56xa6ux3F0wfvgePJ37OOoqSqf0YpVH26rrPy9Hq6BLfH09l+NweFeEhsjzPRu5bE4LUq74hFSf+SJEkMDI9l+4XdVf6EVxRYVqDpGsuS1tK1Tge8XDzL3Y6am0nW0pmYW/fEtX5zKyY01qE0nTZLLJzJ1tkyQGFMffsfdp4uHnQOac+qM+vFH73/4d42Fue6jUsnvFtKjI4jCBVy+PpxLuRcssvlwf/l4SQxr6fCS1EyL+7VGLtZFZtF/4XYut0wyQqrqvi0DVFgWcH+K4e4lHuFuPA+FWona+lMdHS84x62UjLjLUnWiFlqIcC1dDJ720DjDrl+YT05n32Ro9cTDcvgiCRZxnfEE1iuXyRn0wKj4whChaw8vZ6aHtVpERRpSP+yJPFGK4VfuissOKvTdYXK1XxRZP03TxcPutXpyLKkqj3ZXRRYVrD01Brqetchslr5V1ovPn+C/D3r8O7/IIqnjxXTGeejoypD1qn0DZbYNtBEbQ9j74aMCmpKDY8gVp4Rd839L6eadfHoMpicdb+gZqUZHUcQyiWvJJ/N53bQt14Pqyz0XBGjwmS2DVQ4l6PTbomFhAxRZP23uPp9uJJ3jb2X442OYjOiwKqgtIJ0dlRwcruu62Qu/gpTjVDc21VsFMwRqJrOkztVntql8VwzmV973PlmzbYgSzJ96/Vg07nt5JfkGx3H4Xj1Go3k5ELWyu+NjiII5bLp3HaK1GL6hHU3OgoArarJ7B5swt2pdPL75ktVd7TmTjX2jyDMJ5Slp1YbHcVmRIFVQStPr8ckm+hVt/xbMRQc2l46sX3wI5V+M+e8Ep1h61U+Pa7xeQeZ6W3tO5n9dvrU606hpYhN53YYHcXhyGYPvPqOIX/POopTkoyOIwh3bMXp9bSuEUWgOcDoKDeEeEjsiDPRqppE71UqP54SRRb8Ptm9fiy7Lu4lNb9qjpqLAqsCVE1ledI6utfpVO67VfSSYrKWzcS1cRtcG0RbOaF9XcnX6bpcZf1FnWW9FSY2drxiMci9Gq1rtGDlaXGZ8K+4t++HKSiYrMVfiZsBhEolOes8x1NP0D/c/pPbb8fbWWJlH4Ux4RL3b1Z544C4wxCgd92uOCvOrKiif49FgVUBey8f5EreNQbVL/9lvdytS1AzruE9aIIVk9nf8YzSeQYX83W2DTTRL8RxD62+YT05mppIctYFo6M4HElR8Bn0CEVJhyk8ssvoOIJQZitPb8DbxYsOtdoYHeUvOckSMzsrvNlK5tX9Gg9uEdvruDuZ6V6nE8uT1qJqqtFxrM5xXwUrgaVJawj3rUtD//rler6ak0n2ujm4dxiAU1CwldPZz8aLpXcKejnD7kEmogIc55LgX+lYuy1ezp5V/hbh8nJt1AqXhi3JWvqNWLZBqBRK1BLWnNlE77pdcFKcjI7ztyRJYmqUwuxuCnNO6/RdrZJZdHcXWXH1Y7mWn8ruSweMjmJ1osAqp2v5qey6uI+48PJPbs9e9SNIMl59xlg5nf18f1IjdpVK22oS2weaCDb4TsGycFacSjeAPis2gP47PoMmYEm/Qu72ZUZHEYTb2nVpH5lFWfSzwcbOtnBfuMzafgoH03Q6LLWQnHP3FlkN/esT4RdWJVd2FwVWOa1MWo+L4kzPck5uL7mcTN6uVXjF3ovi7mXdcHag6zqv7VcZt0VlXITE8j4KXnba9sYa+of1IqMwi98uig2g/4pTjVDc2/cje83PqHnZRscRhFtambSeRv71qedTx+goZdalhsyuOBMFKrRbYmHf9bt38vvA8Fh2X9rP1bzrRkexKlFglYNFU1metJaeoV1wdzKXq43MJV9j8q+OR8eBVk5ne8WqzrgtKq8f0Hi7tcxXnRSc5MpTXAGE+YbSwC+cFafXGR3FYXn1HQO6Rvbq2UZHEYS/dT0/jd2XDxiycntFNfCR+G1Q6Yb3nZepd+0ehj1DO+GquLA8aa3RUaxKFFjlcODKIa4XpDEgvHzD0QXH91KUuB/vuIeRTI47X+Cv5BTrDFyj8stpnZ+7KbzYQqnQ5tZG6hfWk92X9pNWkG50FIekePjg1Xs0eTuWU3LlvNFxBOEvrTmzCSfZRPc69tnY2doC3SQ29lfoGywxZJ3K14l3X5FldjLTI7Qza85sqlIru4sCqxzWnt1CiFdtGviF3/FzddVC1pKvcQlvhmvT9jZIZzvXCnS6rVDZdU1ndV+F0eGV+/DpEdoJRTaJDaBvwaPzIBTfILKWfm10FEH4E13XWXlmPV1CYvBwdjc6TrmZTRK/9lB4rJHMI9vuzmUcetftytX86xy5lmB0FKup3K+QBiiwFLI95Td61+1SrpGbvJ0rsVy7gPfgRyrVyM+Z7NLJmBfzdLYONNGtZuU/dDydPegS3J6Vp8UG0H9HMjnjHTeewuN7KUwU89UEx3L42nEu5lymfyWZ3H4riizxaYx8YxmHSTs0VO3u+bsUWa0h1d0DWZe8xegoVlPmV8lTp04RExNDREQEbdq04fjx4396zObNmzGbzbRo0eLGW0FBgVUDG237hd0UWArpGXrnk9u1/FyyV8/G3LoXzrXvfPTLKAdTdWKWWpCAnXEmWvhXnsLwdvqF9eRCziWOXK86Z03W5tasA871Islc8jW6WvXWqhEqrxWn11HLswbNA5sYHcUq/ljG4etOCl8laozcoFJouTuKLFmS6RnamU3nt1OsVo3lYcpcYD366KM88sgjnDx5kueff57x48f/5eMaN25MfHz8jTc3NzerhXUE65O30LRaI2p4BN3xc7PXzUEvKca7/wM2SGYbGy5qdFluubHdQ12vqlNcAbQIiqSGR5CY7H4LkiThM/gRLJeTyfut6u4bJlQuucV5bD5furFzZboaUBYPN5RZ1Eth5QWd2FV3z1pZvep2Ibc4j98u7TM6ilWUqcC6du0aBw4cYMyY0vWahg0bxtmzZ0lOTrZlNoeTUZjJ3ssHyzV6Zbl+idytS/DsORLF298G6azvl9MafVerxASVTsKs5la1/ohB6VlTv3o92Xxuh9gA+hacQyIwt+5J9qof0AryjI4jCGw8t50SzUKfeo6xsbO1xdWRWd9P4UiGTuflpdMzqrpQ7xDq+9Zj/dmqcZmwTAXWhQsXqFmzJiaTCSg9ow0JCeH8+T/fWXTixAmio6Np3bo1n3/+uXXTGqx0g2CJbnU63PFzM5d9g+Lpi2fXYdYPZgMfHVUZvVHlnnoSy2IVPJyqXnH1hz5h3SlSi9l4brvRURyad/9x6EWF5Kyfa3QUQWDl6XW0qRFFNXPlOGEtjw7VZbYPNJFRBDFLLSRmVv0iq1fdruy8uJec4lyjo1SYqawP/N8h2L+aFBwdHU1KSgre3t6kpKTQr18/AgICGDly5N+2O3nyZLy9vW98PHToUIYNK1sRkpGRUcb01rHq1HqiqzVFzbOQnlf2W/vV5ASKDu/EecgkMnLzAMcdAdB1eOOoMx+fdOGJiGJeiSwiJ9PoVLZlQqZFQCRLTqwmxq+VXfu29zFcMTJK+/7kbF5ISeMYZN9AowMJDsLex/G5nBQS0k7xfNTjpKdX7WVWqgMrO0uM3OFGzBKdOTH5tPavOksZ/K+W3pF8oamsSlhPz+DOdu27osexn5/fTR+XqcAKDg4mJSUFi8WCyWRC13UuXLhASEjITY/z8vr/K5LXrl2b0aNHs23btlsWWJ9++inR0dF38jXc5H+/IFtJybnMyawzvNrxH3fUp65pXNs4B6eQBlTrNABJdty770o0nixLYwAAIABJREFUnQlbVb4/pfNBO5mnm7oDlffW5zsxuFFfXt02nWwll1DvkNs/wYrsdQxbg9b/fq4c2oK0bQF+46YaHUdwIPY8jn8+uwgfF296N+jm0HsPWoufH+wcrBO3RmXINnfm9VToH+K4ryUV4Ycf0dWbseP6XkY2H2z//q14HJfpJxQYGEhUVBSzZ5eu6LxgwQJCQ0MJDQ296XGXL19G00or65ycHJYvX05UVJTVwhpp/dktmE1udKjV+o6el79vIyUpSfgMedShi6t8i86QtSo//76A6NNNFaMj2VVMrTZ4u4gNoG9HdnHFu/+DFMRvo+jMMaPjCHchi2Zh7dnN9K7b9a4orv7g6yKxtp9C79oSg9aq/HCy6o5i9QrtwqGrx7hWybfOKfMr/owZM5gxYwYRERG88847zJw5E4CHH36YpUuXAqWFV9OmTWnevDnt2rWjV69ePPjgg7ZJbke6rrM2eTOdQ9rjYnIp+/MsxWSv+gG35h1xqdvYhgkrJqtYp88qlU2XdZbHVv4FRMvDWXGie53ObEjeVqVWErYFc6vuONUKI2v5d2L9MMHu9l6OJ6som9h63YyOYnduJon5PRUejJB4YIvKx0er5rIpnUPa46Q4sT55m9FRKqTMc7AaNGjArl27/vT/33zzzY1/T548mcmTJ1snmQNJTDvFxZzLPNP6sTt6Xu6OlaiZqXg9+qaNklXc9QKd2FUWzubA+n4K7YPuvuLqDz3qdGLRyRUcvnacFkGRRsdxWJIs49X/Af4fe/cdHsd1n4v/nZldLNrugmhE20UjQRLsAAiid4BVsiTKEiVLVmQ1O1Gc5ObGvk5u7MSJ709JbsqNFceyLUdW1CVKslhEEETvBHvvBLCoBEEAW4BtM/P7AxQligUgid2z5ft5Hj2PSAx2XoAo75wzc87or34M66n9CEq/u1FdQu5HbXcTEjUJSA1LYh2FCQXP4VeFAsJUEv6kXcKYDfhxBu9TS1WEKINRkJCNvd2NeHLpI6zj3DP//W16F/Z0NyAiaB5Wz18+6/eRbFMw1byL4OwKKGPce0/PbPWaZRRud2JgEmjcrPDrcgUAS6MWYX5wFGq7m1hH8XiBS9YgIGUZjDvfgCzRiB9xD6vThpa+TpQnFflUobhbHMfhH7N5/J81PP7moIQ/65Ag+dhockVSMS6Md+PCWDfrKPfMv3+jzoJTcqKuuwXliUUQ+Nnfl2Ru/ATS1CQ0659yYbp7d3ZcRsFnTthEoOUBBVb40Ors94rneJQlFaLR0Aan5GQdx6NxHAft5mfh6L+AqcPePYxPvEd7/35MOa0oT3Lv02WeiOM4/GiVgF/k8/j34xKeaxLh9KGtdbJjV0OrUnv11jlUsGawf/AIxm0TqEwumfX7iBYjTHUfIbRgMxQe+Cj7oSsyCrY7EaoEWh5UYIGWytUXyhMLMWEzYf/gEdZRPJ4qZSkC07Nh/PxNyCIVUuJ6tT1NWBS+AAnqWNZRPMb30gW8VSrgrXMyHqsVYRN9o2QpBSVK9AXY293otffFUsGawd7uRiRqErBwXvKs38e0931AlqGufNyFye5Ny5CEkh1OJIZyaHpAgfgQKldftWBeMvSaBNT20DThbGg2/QGcI/2wdO5hHYX4OLPdgs7+AzR6dQtPLuDxaZWAzw0yNu0WYXb4RsmqSi7GyOQojlz2zieWqWDdwaRjCs2GDlQml8x6vl8cvwJzy3aEljwCITTMxQnvzucGCVW7RGREcqjdJCAykMrV13Ech/KkQjQbOmBz2ljH8XgB8SkIyiiBsfptyHb6fBHXaTZ0wCE5UZZYwDqKR9qk57F7g4B9IzIqdom4avX+krU0cjFiQ+ejxku3zqGCdQetfZ2wijZU3MUVk7H6bfABgVCXetaTD+9fkPBgtYiKeA671gvQBFC5up3yxEJMOa1o95ENR11Nu+HbkEzjMLdsZx2F+LDaniasjF7q01vj3K/iWB71mxQ4PyGjeIcTg5PeXbI4jkNlUjEae9tgE+2s49w1Klh3sOdSI5ZHpSM2dP6sjneM9MPSWQ11xePgAz1nBfRfn5am9xVM5bCtUkCQgsrVneg08UgLT0Wtl6/B4i6KqDiE5KyDae/7tBE0cYkx6zgODh2l0atZyIzi0PyAAuN2oOAzJy4ZvbtkVSQVw+yYnh72NlSwbuPq1DgODB1G5d2MXu16E4I6HKH5m12Y7O7881ERLzaL+MN0Hr8rEaDkqVzNRnliITr698Nsp8IwG5qqJyE5bDDVb2Mdhfighp5WAByK9fmso3iFJfM4tDygAM8BBdudODXmvSUrUZuAReGp2NPdwDrKXaOCdRt1Pc3gOB4libP7hrb3XcDUoUao138LXMDsV3t3FVmW8dODIv5np4S/XMXj53k8eD9eN+ZulSUWwC450NLXyTqKVxDCIhFa+CDMDR9D9PXdwYnb1fa0ICt2FcICNTMfTAAAierpkhURCBTvcOLIqPeWrIqkYnT074fJZmYd5a5QwbqNvd2NWBuXAa1qdt/Qxl1vQBEVj5DsKhcnm5ksy/jLLgk/OSDh77N4/GyN4NeL8t2L6JAorIhKp2nCu6AufwzgeZhq3mMdhfiQYcsIjo2cRHliIesoXmd+MIf6TQroQzmU7nSia8Q7lzsoTyqEKEtoMLSxjnJXqGDdQp9xAKdGz6EyqWRWx9suHIf1ZBc0G58BJ7DdJFmWZfxpu4RXjkj4lxwef7XavzZtnkvlSUU4MHQY49YJ1lG8ghCigbrsmzC37oTz6jDrOMRH1PU0I0AIQKFuLesoXikicPqp8SVhHMp3imgZ8r6SFREUjsyYFdjrZU8TUsG6hZruRgQrgpAXnzXjsbIsY2LHb6FMSEXQSrY3YIqSjJdaRPz7CQn/mc/jz5ZTubofJfo8AEBDr3ddNbEUWvwQ+KAQGHe/xToK8RG13c3Ijc9CsDKYdRSvpQ3gUL1BQGYkh3Wfi6jt976SVZFUjMOXj2PYMsI6yqxRwfoaWZZRc6kBxfo8qBQz30tlPbkP9ksnod30LDie3afTKcn4g0YRr5+R8UaxgO+mU7m6X2GBWmTGrKK9Ce8CrwqCpuoJTHbVwjHUwzoO8XK9xj6cG7uIikRaXPR+hSqnl+gpiuGwqVrErl7vKllFuhyohADs9aKtc6hgfc2p0bPoNw+hMrl4xmNlSYJx5+8QkLocqsWZbkh3a3ZRxtY6Ee9dkPFuqYBn0uifda6UJxXi6MhJXPaiqybWQvI2QAiLhHHXm6yjEC9X292MYEUQ1sZlsI7iE4IUHD6tErAhgcNDNSK2XfKekhWsDEZ+wlrUXGqE7CUbW9Nv4q/Zc6kRkUHhWBW9bMZjpw41wjFwEdrNzzK7idzqlLFlr4jtPTI+qhDwWCr9k86lQl0OAngl6npaWEfxGpwiAJoNT2PqaCvsvWdYxyFeSpZl1HY3oVCXM6vZBDI7KoHDBxUCtiRzeLxWxNvnvadkVSWX4NJELy6Md7OOMiv02/grnJIT9T0tKE8qgsDfeYpNFp2Y+PxNBC5dC1VyupsS3sjikPHAHhF7+2V8ViXgG0n0zznXQpTByInPQm0PPU14N4KzyqCI0WNixxusoxAvdW7sIgymAdp70AWUPIe3SgQ8vZDD0/UiXj/tHSVrTewqaFUar9k6h34jf8X+wcMYt02gMmnm6UFLRzXE0SFoNj3jhmQ3M9plbNgton1YxufrBazT0T+lq5QnFeLs1QswGPtZR/EaHC9Au/EZ2M4egvXsYdZxiBeq7W6GVqVBZswK1lF8ksBzeL1IwPfSeTzfLOLnx0XWkWak4BUoSyxAbXcTRMnz89Jv5a+o6W5EklaHBfOS73icbLfBuOcdBGWUICAuxU3pvjRuk1G5S8TRqzJqNgooiaN/RlfKjctCsCKIRrHuUuDyPCj1izCx47+85p4J4hkkWUJdTzNK9PlQ8ArWcXwWz3F4NY/Hny/n8f12Cf94xPNLS0VSMUamRnHk8gnWUWZEv5mvsTltaO3bh4qkohnvpzK37YJkGoN2/dNuSvelq9bpndLPG2XUblQgdz79E7qaSqFCgW4tarubqSjcBY7joN30DBy9Z2A9uY91HOJFjo+cxuXJKyhPosVFXY3jOPzTWh7/ezWPH+6T8H8OeXbJWhq5CLGh873ivlj67XxN58BBTDmtKJlhryvJboWp9gMEZ1VAERXnpnTTRq0yync50W2SUbdJgcwoWp3dXcoTi9Br7MP5sUuso3gVVdpqBKQshXH3W1ROyazVdjchKjgCy6OWsI7iFziOw99lCfjbTB5/tV/CTw96bsniOA7Fujw0Gdrh9PBpQipY19T3tiI1LAk6Tfwdj7O07YJkmYCm6gk3JZs2MiWjbKcT/RagfrMCKyOoXLlTVuxKaFVqmia8SxzHQbP+aTgM52gUi8yKUxLR0NuGssRC8Bz9inKnH2cI+PssHj85IOEnB0SPvSgqSczHhM2Iox4+TUhfvZieHmzv75rl6NWHCF5TAUVkrJvSAZevlauhKaB+kwLLw6lcuZuCV6BYl4e67mZIsnc8ceMpVAtXIiBlGY1ikVk5OHQE47YJ2nuQkb9aLeCVNTx+elDCX++XPPJ7dnH4AsSERKO+t5V1lDuiggVg3+Ch6enBxLw7Hmdp3QnJYoSm0n2jV0OTMkp3OHHFCjRsUmAplStmypOKMDw5ghMjtLbT3eA4DpoN10axTnSyjkM8XG1PMxLUcUgLT2UdxW/9cJWAf1rL42eHJfyoy/NKFsdxKNHnodnQ7tFPE1LBAtDQ24qUsEToNQm3PUayXRu9ynbf6NXgpIzSnU6M24GGzQosmUfliqUV0emICoqgacJ7oFqwAgGpy2kUi9yRTbSj2dCB8qRCZos3k2n/c4WAf83h8Q9HJPxFp+eVrBJ9PsasEx79NKHfFyybaEdb38zTg5a2nZAmTW4bveq3yCjZ4YTJMV2uFoXRDxvWeI5HaWIBGnpbPP7mSk8zfS/WU3D0nYf1RAfrOMRDdQ4cgMUxiXLae9Aj/OlyAf+ey+Ofj0n4Hx2eVbIWRyxETEg0GnrbWEe5Lb8vWF0DhzDpnLpjwZoevfoAIdmVUETEuDyTwSyjeIcTU06gcbMCC7VUrjxFeVIhxqwTODR8jHUUrxO4cCWNYpE7qu1uxoJ5yUjU3n42gbjXHy8T8B/5PP7tuITvt3lOyeI4DsUePk3o9wWrobcVydrEO35DW1p3QJo0Q1251eV5es3TI1dOabpcpWqoXHmSReELEK+ORW13E+soXml6FOsCrMdpFIvcaNIxibb+Lhq98kB/mC7gtQIBr56U8EetEiQPKVkl+jxctY7j6MhJ1lFuya8Llk20o7Vv3x1vbpdsVpjqPkTI2iqXj151m2QUb3dCxnS5SqZy5XE4jkN5YiGaDR2wiw7WcbxO4MKVUC1YQaNY5CYtfftgF+0oSyxgHYXcwotLeLxeJOCXpyR8r8UzStaSiDREB0eioccznyb064K1f3Dm6UFL63a3jF51m6ZHrgR+ulwlqqlcearypEKYHRbsGzjIOopX0mx4Go7+C7Aea2cdhXiQup4WLItcjJjQaNZRyG18ZxGP/yoW8OvTEl5qFpmXrC+mCZs8dJrQrwtWfU8bkrV6JGl1t3y7ZJuCqfaj6dGr8Pkuy9FzrVwp+OmlGHShVK48WZJWj2StHo0Gz7250pOpUpdDtXDV9CiWRGuKEcBst2D/4CGU0uiVx3smjccbxQJePyPjuy3sS1aJPh9XreM4NnKKaY5b8duCZRcdaOvfd+fRq5YdkKwWqF24avsX5UrgphcRTaBy5RWK9Llo6+uiacJ7pFn/FBwDF2E9TqNYBGjv74JDcqJIl8M6CpmFb6dNj2T95rSMP2Q8XZgemYao4Ag0eOCio35bsLoGD8HimESx/tb3X0m2KZjqPkLI2nVQzHPNkHWveXqdK56bXoqBRq68R7EuD2aHBQeHjrCO4pVUqcugSqNRLDKt0dCO9Ig0RIdEsY5CZumZtOl7sn51evrGd1b3VPIcjxJ9Hhp72z1ulw2/LVgNva1I1CQgOUx/y7ebm7dPj15VPu6S8xvM0yu0A9N7C1K58i4pYYlIUMeh0UAjMPdqehTrEqzHaKrVn006ptA5cBBF+lzWUchdenYRj99cu/H9ZYZLOExPE4553DShXxYsu+i49vTgracHJeskzPUfISRnvUtGr/quLcUgydPTgnoqV17ni5srWwydcEpO1nG8kiplGVRpq2kUy891DByAXbSjWHfnrcqIZ/rOIh6/KRTwi5MS/phRyUqPXISoIM+bJvTLgrV/8DAsjsnb3n9lbtkOyToFdcXcj171mWWU7HRClKdHruhpQe9Vos+D0W7C4eHjrKN4Lc36p+AY7MYUjWL5rabeNqSFpyJO7fpFnIlrPLeYx68KBfzHSQl/0u7+ksVz/PTThB42TeiXBauhtxV6TQKStTdPD0rWSZjrPkJI7joo5s3t/QD9lul7rhzS9D1XSVSuvNrCeSmICYlGowdv1eDpVClLoVqUQaNYfsrmtKFj4ACKdDQ96O1eWMzjtQIBPz8h4c8YbKtTos/HlamrOD5y2q3nvRO/K1jXpwf1ebfcTNTc/Bkkm3XOR68GLNP3XNml6aUYqFx5v+s7uvd1eOQaLN5Cs/4pOAe7MXXUs4b3ievtGzyEKacVJbd52Ih4lxeX8PhlAY//d9z9excujfK8aUK/K1gHho7A7LDccnpQslpgrt+GkNz1UITN3ejVwLWRK6s4fc8VrdDuO4r0eRizTnjczZXeRJWcPj2KVf02jWL5mcbeNiRrE6HTxLOOQubIS0sE/OLa3oV/7saSxXM8ivS5aOxt85hpQr8rWNPTg/FICUu86W3m5u3XRq8em7PzDU7KKNvpxKRz+p6rFCpXPmVJxMJra7DQNOH9+HIUq4V1FOIm02sRdtHolQ/6XrqAV/N4/OtxCX/R6b6SVazPw5WpqzgxcsYt55uJXxUsh+hAS18nSvT5N00PTj85OLejV8PXypXZOX3PFW3c7Ht4jkeRLhfNBs+6udLbqJLToVqcCWP1OzSK5ScODB2BxTFJyzP4qD9aKuDneTz++ZiEH3W5p2Qtj1qCiKB5HjNN6FcF68DQUZjtt54etLTthGSbgrp8bkavrlhlVOxyYsI+PS1I5cp3fXHVdPKKZ1w1eStN1ZNwDnbDeryDdRTiBl/MJtzqYSPiG15eKuBfc3j8wxEJPzng+gun6QvePI+ZJvSrgtXQ2wqdOu6m6UHJboWpbhtCsivn5MnBq1YZlbucuGwF6jYpsFBL5cqXLYtcjPDAeWjspUVH74cqZSlUC1bAuOcdZgsWEvdwSk609u1Dse7WDxsR3/GnywX8YzaPvzsk4e8Ouv5hoFJ9PkamRj3igtdvCpZTct52etDSvhvSpHFORq/GbTKqPhfRZwFqNyqwOIx+ePg6gRdQqMtBY28bFYP7pK56Eo6+87Ce2s86CnGhQ8PHYLKbUUT3X/mFv1gp4O+zePz4gIR/OOzakrUsavqC1xPui/WbgnVg6ChMdvNNq7fLTjvMdR8hOLMMisjY+zqH0S5j/W4Rl0wy9m5UYFk4lSt/UaLPw/DkCE5fPc86ildTLVyJgKQlMNEolk9r7G1HXGgMFs5LZh2FuMlfrRbwkwwe/6tLwr8cdV3JEngBxR7yNKHfFKyG3lYkqOOQGpZ0w99bOmsgGkfve90rs0PGht0izozLqNmowMoIKlf+ZEX0UmhVajR5wFWTN+M4DuqqJ2DvPgXbOdpI2xeJkohmQweKdLk0PehnfpLB40erePx5p4SfH3ddySrR5+Py5BWcGj3nsnPMhl8ULKfkRIuh86bFRWXRCVPtBwhaVQTlfN09v77FIWPTbhHHrsqo3iAgI5J+aPgbBS+gIIGmCedC4JI1UCYsgGnPO6yjEBc4OnIS47YJWp7BD3Ech59l8fjz5Ty+3y7hlyddU7KWRy1BeGAYGnrYPk3oFwXr4NBRGO2mm54enNxfB/HqMDSVW+/5taecMh7cI+LgqIzdGwRkR/vFp5TcQrE+D/3mIVwY72YdxatxHAdN1ROwnT8K20Xa59HXNPa2ITo4EosjFrKOQhjgOA7/tJbH95fy+F6rhNdPz/00nsALKNLlMr/g9Ys20NDbinh1LBZ8Zb5flkSY9r6PwOV5UMbd230AVqeMh/aI6LgsY+c6AXnz/eLTSW4jY/5yhAaE0N6EcyBwWS4UsUkw7nmPdRQyhyRZQpOhHcV6mh70ZxzH4d9yeXxvCY8XmkW8eXbuS1ZJYj6GJ0dwavTsnL/2bPl8I3BKTjQbOlHytceBpw41wTnSD03VE/f0ujZRxqN7RTQNydheJaAo1uc/lWQGSkGJgoS1HvH0irfjeB6ayq2wnd4Pey/7x63J3DgxcgajU2Mo1t28FiHxLxzH4dV8Hs8t4vBsk4h3zs9tyVoRlY55gVqmP499vhUcGj42PT34lacHZUmCseY9BC5ZgwDd3Q9TOyQZW2tF7B2Q8fsqAWXxPv9pJLNUpMtFr7EP3RO9rKN4vaBVhVBExdMolg9pNLQiImgelkYtYh2FeACe4/BaoYCnF3B4ukHEhxfnrmRNL5/DdprQ55vBl48Dp1z/O+uxNjiHeqC+h9ErpyTjW3UidhpkbKsQUJXg859CcheyYlchWBFEo1hzgOMFqCu3wnq8HfaBi6zjkPskyzIae9tRpMsFz9HPTTKN5zi8XiRgawqHJ+tEfNYzdyWrVJ+PIctlZsvn+PRXuSiJaOnrQJEu5/r0oCzLMNa8C9XCVVAlp9/V60myjO80ivi4W8b7ZQI26X3600fugUoIQG78GjTRqu5zIjizFEJEDEw0iuX1To+ew+XJKyjS0d6D5EYCz+F3JQK+kcThm3tFVBvmpmR9sXxOs4HN9ls+3RCOXzmNMesECr/yDW091QVH34W7Hr2SZRnfbRHx9gUZb5cKeDjZpz915D6U6PNwYbwbBmM/6yhejxMUUJc/hqkjzXAMG1jHIfeh0dCOMJUWK6KXso5CPJCC5/BOqYCqBA4P1YioH7j/kqXgBeTFZ6OJ0TShT7eEZkM7IoLmIT0yDcB0STJVv4OA5HSoFqyY9evIsow/aZfw69Myflsk4PFUn/60kfuUHZeBQEFFexPOkZDsCgjaCJhqaBTLW01PD7ahQLcWCl5gHYd4qACBw4flAgpjODxQLaJ16P5LVpEuFwbTAHqM7r9A89mmIMsymno7UJiQc32+33buMOw9p6GpenLWjwjLsowf7pPw8xMSXisQ8Eyaz37KyBwJVKiwNj4TTQa6D2sucIoAqMu+icmD9XBeGWAdh9yD82OXMGAeosVFyYwCFRw+rRKQFcVh424RXSP3V7IyY1ciSBGIpl73TxP6bFs4N3YRw5MjKNJ/OT1orH4HSt1CqBZnzvp1/uaghH86KuH/5fJ4cYnPfrrIHCvR5eHM1QsYNA+zjuITQnLWgw/RwrT3A9ZRyD1o7G2DOiAUq+cvZx2FeIFgBYcd6wQsncdh3ecijoze+/Te9H2xWWjuo4I1Z5p626EJUGPltfl+24XjsF84dlejV68cFvHTgxJeWcPj+8toWJvMXk58JgJ4JZoMNE04F7gAFdSlW2Dp2gvn2GXWcchdkGUZjYY25CdkQ8ErWMchXiJUyeHzDQJS1BwqdjlxcuzeS1ahLhdnGVzw+m7BMrQjL2HN9W9o4553oIxNQuDStbN6/387JuJHXRL+JoPHD1dRuSJ3J1gZjOy4DFquYQ6F5G8CHxgMU+2HrKOQu9A9YUCvsf+mrcoImYk2gEP1BgFxwUD5TifOTdxbycqJy0AAr3T704Q+WbC6JwzoMfZdfxzY3nMGtjMHoa56Ehw/84f8y5Mi/qxDwg9X8vhxhk9+iogbFOlycfLKGVyevMI6ik/gVUEILX4Ylo7dECdGWcchs9TY24YQZTAyY1ayjkK8UEQgh5qNCsxTAWU7nbhkvPuSFawMRlbsKjRRwbp/zYYOBCkCkRW7CgBgrHkXiugEBK2c+QrqjbMSvtcq4U+W8fj/1vC0Xxa5Z1+MoNKaWHMntPBBcIoAmBo+Zh2FzFKjoQ158WsQIChZRyFeKjqIw96NCgQKQPkuJ/rMd1+yinS5OD5yCqNTYy5IeGs+WrDakROXCZUQAHv/RViPd0BduRXcDI8Hv3dBwnNNIl5azONfc6hckfujDghFZsxK2vx5DvFBIQgt+gYsrTsgmsdZxyEzMBj7cXG854aHjQi5F3EhHGo3KSDJ0yNZQ5N3V7LyEtaA5zi09nW6KOHNfK5gDZkv48zVC9enB00170GIiEFwRukd3++TSxKeqhfx9AIOvyigckXmRrE+D8dGTuHqFJWBuRJa/BAADubGT1lHITNoMrQjUFAhOzaDdRTiA/ShHOo2KTApAhW7nLhinX3J0qo0WDV/mVsfPPK5gtXc1wElr8Da+Ew4hg2YOtIMdflj4ITbj17tNkh4vE7EluTpPZF4KldkjuTHZ4PjOLS48arJ1wkhGoTkb4K5eTukKQvrOOQOmgwdWBuXgUCFinUU4iNSNBxqNyowYgWqdjkxbpt9ySpMyMHBoWMw2cwuTPglnytYTb3tyIpZhRDl9NNGvCYcIdkVtz2+YUDCwzUiNug4vFUqQOCpXJG5ExaowYrodGZ7YfkqdckjkJ12mFu2s45CbuOyZQSnR8/dsFUZIXNhURiHmg0K9JiBDbtFmOyzK1kFuhyIsoi2/i4XJ5zmUwXr6tQ4jo2cQqE+F86rw5jcXwt16RZwioBbHt8+LGFztYjCGA7vlwlQUrkiLlCky8XB4aMw2d1z1eQPBG0EQtaug7nxE0h2K+s45Baa+zqh4BXIjc9iHYX4oBUR00s4nByT8eAeEVPOmUtWVHAE0iMXuW2a0KcKVktfJziOQ358Nkz128AHhSAkd8MQXZbzAAAgAElEQVQtjz14RcaG3SIyIqeX5Q9UULkirlGYsBZOyYmO/v2so/gUddmjkCZNsLTvZh2F3EKToR0Z81cgNCCEdRTio7KieOxaL2DfiIxHakTYxJlLVpEuB/sGD2HK6foLM58qWM2GdqyMXgq1Q4SlYzdCi74BXhV003HHr8qo2uXEIu30cvzBVK6IC0WHRGFxxEKaJpxjimsPr5jrP4LsdLCOQ75i3GrE0csn6elB4nL5MTw+qxJQPyhja60Ih3TnklWoy4VdtGPfwEGXZ/OZgmWym3Fw+BiKdLkwN3wCjlcgtPDBm447Oy6jYpcTCSHA7g0CNAFUrojrFely0DlwEDanjXUUn6KueBzixCgm99eyjkK+orV/H2RZRn58NusoxA+Ux/PYViFgp0HGMw0ixDuUrAR1LFLDktxyweszBaujfz+ckhP5kUthbtmB0ILN4IPVNxzTbZJRvsuJcBWwZ6MC81RUroh7FOpyYBVt6Bo8zDqKT1HG6BG0PA+mvR9AFkXWccg1zb3tWB61BOFBYayjED+xSc/j3TIB71+U8WKzCEm+fckq0uWirb8LDtG1I98+U7CaDB1Ij0hD0P5WyJIToSUP3/D2fouM8p1OqARg70YFooOoXBH30WsSkKTV0ebPLqCu3ArnlQFMHWlmHYUAmHRMYv/QYZoeJG63JZnH74oF/NdZGX/SJkG+Tckq1OXA4pjEweFjLs3jEwXL6rShc+AACuKyYG78FCE56yGo511/++Wp6WlBhwTUblQgLoTKFXG/woQctPV3wSk5WUfxKQG6hVAtzoSp5j3IksQ6jt/r6D8Ah+REQcJa1lGIH3pqIY9fFgh49aSE/7Xv1iUrJSwR8epYl1/w+kTB2jd4EDbRjszhSUjWSajLHr3+tqtWGZW7nBi3AbWbFEhUU7kibBTpc2Gym3F4+DjrKD5HU/kEHIPdsJ7cxzqK32vu60BaeCpiQ+ezjkL81ItLpre7+8ejEn568OaLLo7jUKTLRYuhE6LkulsLfKJgNfV2IFmrg6a5BsFZ5VDMiwYAGO0y1u8W0W+ZnhZcqKVyRdhZOC8FMSHRbt/R3R+oUpchIGXp9CjWHe69IK5lE+1o79+PwoQc1lGIn/vT5QJ+lsXjbw5K+L9Hby5RhbocjNsmcHzktMsyeH3BcogOtPd3IQdRkExjUFc8BgCYdMrYXC3i7ISMmo0KLA2nckXY4jgOhbq1aOnrgCTTVNZc01Q+AXvPadjOHWEdxW8dGDyCKacVRXoqWIS9v1wt4C9X8fiLTgn/efLGkrUkYiEig8JdOk3o9QXr0PAxmB0WrDpxDkErC6GMToBNlPHwHhEHr8j4fL2A1ZFUrohnKNTlYnRqDCevnGUdxeeoFmdCmbAAppr3WEfxW819HdCp45Co0bGOQggA4O+zeHx/KY8/bJXw5tkvL2x5jkehLgdNhnaXjXp7fcFqMnQgRqlB/OAVqCu3wiHJeLxWRNOQjO3rBOTO9/oPkfiQZZGLEabS0qKjLsBxHNSVW2E7dxi27lOs4/gdpySita8TRbpccBxd1BLPwHEc/i2Xx/OLODzbJOKji1+WrCJdLi5PXsGZq+ddcm6vbh+iLKHF0IE1o04EpWdDiE3GtxtE7DLI2FYhoDTOqz884oMEXkCBbi2aXXjV5M+CludBEa2jUSwGjo2cxITNhEJanoF4GI7j8MsCAVtTODxRJ2Jn73TJWhG9FJoAtcvui/XqBnJm7DzGbBPI7BtHaOVWvNgs4oOLMt4tE7BR79UfGvFhRbpc9JuHcHG8h3UUn8PxPNQVj8N6ohP2gYus4/iVJkM7ooIjsDh8AesohNxE4Dm8USJgs57Dlr0i6volKHgB+QnZaHbRfVhe3UI6hg5gnihgSewy/GBwEf7rrIw3igVsSfbqD4v4uIz5yxGiDKZpQhcJziyBMC8appr3WUfxG7Iso9nQgUJdDk0PEo+l5Dm8Vy6gOIbDg3tEtA1LKNLlotfYj+4Jw5yfz2ubiCzL6OjvQOYVOz7WP46fn5DwnwU8nl7otR8S8RNKQYnc+Cxa1d1FOEEBdfk3MXW4GY6RftZx/ML5iUsYmRyl5RmIx1MJHD6pEpAZyWHjbhGCcgWCFIEuGcWadRs5d+4c8vLykJaWhuzsbJw8efKWx73++utYuHAhUlNT8eKLL8LpdM2q1efGLmLEaUSaGIs/GlqBf17L46UlgkvORchcK9Tl4MJ4NwYtl1lH8Ukha9eBD9XCVPsB6yh+oWP4ALQqNVZEL2UdhZAZBSs47FgnYJGWw6ZqHulRWS65D2vWBeull17Ciy++iLNnz+IHP/gBnnvuuZuOuXTpEv76r/8aLS0tOH/+PIaGhvD666/PaeAv1B39DKFOGb/ln8RPswT8jxVUroj3yI7NQIAQgM7hA6yj+CROGQB16SOY7KqFc2yEdRyfJssyOoYPIi8+Gwqefg4T76AO4PD5egHxIcD2gWycvXoBlyevzOk5ZlWwLl++jIMHD+Kpp54CAGzZsgWXLl1Cd3f3Dcd99NFHePjhhzF//nxwHIfvfve7ePfdd+c08BfqetqRagzCqvwC/O/VNC1IvEuwMgjZsavROXyQdRSfFZK3CZwqEOb6bayj+LQeowEDliEU6ejpQeJdwgM51GxUQKFcDRlK7O7pmtPXn1UzMRgMiIuLg0KhADD9yKNer0dvb+8Nx/X29iIxMfH6n5OSkm46Zi6MGscwrLAhWFuGV9Yq6KZK4pUKdTk4PX4eo1NXWUfxSXxgMEILvwFL++cQTeOs4/ispt4OBAqByIxdyToKIXctOojD3s1qJFpCceJk3Zy+tmK2B369xNxuDZ+vHjebdX5efvllaLXa639+5JFHsGXLljtnAfCTxT+CThuFsbGxGc9BiCdaErwAPHhUn6nHen0p6zg+SV5RDLnuI4xUv4uAssdZx/FJ9d0tWK5dDMuEGRbWYQi5B6rLffjrM0MYzX8MV6/e+wVveHj4DX+eVcHS6XTo6+uD0+mEQqGALMswGAzQ6/U3HKfX62+YNuzp6bnpmK979dVXkZGRMcv4XyoLz8HVq1dv+oAI8RbhCMfyiMU4MHoUT66680UFuVfhGC/YDEv75wjb+DT44FDWgXzKoHkYF409eHjVBvpZTLzW1Z2/hlodhYjCzXP6dTyrKcLo6GisXr0ab731FgBg27ZtSEpKQlJS0g3HbdmyBZ988gmGh4chyzJ++ctfYuvWrXMWlhBfs3Z+Jg4NH4PJZmYdxWepSx6B7HTA3LqDdRSf09LXCSWvQEbkCtZRCLknziuDmDzYCHX5N8EJs57Um5VZ3x3+2muv4bXXXkNaWhpeeeWV608HPv/88/jss88AACkpKfjbv/1b5OfnIzU1FdHR0bd82pAQMm3t/NUQZRFt/XN7cyX5kqCNQMjadTA3fALJZmUdx6c09bYjK2YVgpVBrKMQck9MtR+AD9EgZO26OX/tWde1RYsWob395oW4fvOb39zw5xdeeAEvvPDC/ScjxA+EB85DeuQiNBnasS6F7sNyFXXZo7C074KlYzfUxQ+xjuMTrk6N49jIKfxFzsusoxByT8TxK7Ds2wvNhqfBBaiAOb6LkNY3IISxIl0OugYPYcpJoyuuooiIQXBmGcx1H0F22lnH8Qmt/fvAcRzy49ewjkLIPTHVbwMXoEJowSaXvD4VLEIYK9Tlwiba0TVwiHUUn6YufwyicRSTXbWso/iEpt52rIhOR1igduaDCfEwonkClvZdCC18EHxgiEvOQQWLEMYS1LFICUt0yVYN5EvKGD2CVuTDWPsBZFFkHcerme0WHBw+SnsPEq9lbvoUABBa9A2XnYMKFiEeoEiXi/b+LjhEB+soPk1d8TjEK4OYOtzEOopXa+/fD6fkRJGOChbxPpLVAnPTZwjJ3Qgh1HUjsFSwCPEAhbocmB0WHBo+xjqKTwvQLYRqcRaMe9+HLEms43itZkM7FoUvQHRIFOsohNw1c8sOyA471KWuXX+QChYhHiA1LAlxoTE0TegGmsqtcA52w3qyk3UUr2Rz2tA5cBCFNHpFvJBkt8Lc8DFCsisghEW69FxUsAjxABzHoUiXg5a+DogS3R/kSqrUZQhIWQbjnvdmtZ0XudG+wUOwijYU62lzZ+J9Jjv3QLKYoC5/zOXnooJFiIco0udhzDqB41dOs47i8zSVW+HoPQPbucOso3idJkM7krV66DUJrKMQcldkpwOm2g8RnFEMRWSsy89HBYsQD7EkYiEig8LR1Hvzgr5kbqkWZ0KZsACmmvdZR/EqDtGBtr4umh4kXmnyQD3E8RGoK9yz8TsVLEI8BM/xKNTlosnQTlNXLsZxHNSVW2E7dxi27lOs43iNQ8PHYHZYUKzPYx2FkLsiSyJMe99H4PI8KGOT3HJOKliEeJAiXQ4uT17B6avnWUfxeUHL86CI1sFU8x7rKF6j0dCOuNAYpIYlsY5CyF2ZOtIK50g/NJXuGb0CqGAR4lFWRC+FVqVBU28b6yg+j+N5qCseh/VEJ+wDF1nH8XiiJKLF0IkiXS44jmMdh5BZk2UZppr3oFqUgQD9IredlwoWIR5EwQsoSMhGI00TukVwZgmE8Pl0L9YsHBs5hXHbBIro6UHiZawn98ExcBGayq1uPS8VLEI8TJEuD/2mQVwc72EdxedxggLqsm9i6nAzHCP9rON4tEZDG6KCIrAkYiHrKITM2hejVwHJ6QhIXe7Wc1PBIsTDZMasQIgyGM206KhbhKytAq/WwlT7AesoHkuSJTT3dqBQnwOeo18bxHvYzh+FvfsU1JVb3T61Td8phHgYpaBEXvwaNBroPix34JQBUJdswWRXLZxjI6zjeKTTo+cwMjWKIh1NDxLvYqp5D8r4VAQuWeP2c1PBIsQDFelzcXG8B33GAdZR/EJI/iZwqkCY6z5kHcUjNRk6EKbSYkVUOusohMyavecMbGcPQV35OJMHM6hgEeKBsmMzECio0GSgRUfdgVcFQV30MMwduyGaxljH8SiyLKOptw35CdkQeIF1HEJmzVjzLhTRCQhakc/k/FSwCPFAgQoV1sZloJEKltuEFj0IjlfAVL+NdRSPcmG8G/3mIVpclHgVe/9FWI93QF2xFRyjCwMqWIR4qEJdLk6PnsOwhe4Lcgc+WI3QwgdgadkB0WJkHcdjNBnaEaoMQcZ89z6BRcj9MNW8CyEiBsGZJcwyUMEixEPlJayBklfQ04RuFFryMAAZ5sZPWEfxGE297ciNXwOloGQdhZBZcQz1YupIC9QVj4MTFMxyUMEixEOFKIORFbOK7sNyIyE0DCF5m2Bu+j2kSTPrOMz1GvtwaaIXxbS4KPEipr3vQdBGIGRNOdMcVLAI8WCF+lwcvXwSV6fGWUfxG+rSLZCdDphbPmMdhbmm3g4ECiqsiV3NOgohs+IcGcDkgQaoyx8DpwhgmoUKFiEeLD8+GzzHoaWvk3UUvyFoIxCSsx7mhk8g2aZYx2GqydCOtfGZCFSoWEchZFaMte+DD9UiZO061lGoYBHiycICNVgZvQxNtOioW6nLvwnJNgVL6w7WUZgZMl/GmavnaXFR4jWcV4cxuW8v1GWPggtgf1FABYsQD1ekz8XBoWMw2eieIHdRzItGyJoKmOq2QbbbWMdhosnQDiWvQG58FusohMyKqe5D8EEhCMnbyDoKACpYhHi8Il0OJFlCa/8+1lH8irriMUiTRlg6drOOwkSToQNZsasRogxmHYWQGYkTo7B0VCO0+GHwqiDWcQBQwSLE40UEhWNp5CJ6mtDNFJFxCM4ohan2Q8hOO+s4bjU6NYbjI6dQpMthHYWQWTHVfQROEYDQwgdZR7mOChYhXqBIn4eugUOYdPj3Tdfupq7cCtE4Csu+vayjuFWLoQM8xyE/IZt1FEJmJJrHYWnbhdCib4APCmEd5zoqWIR4gSJdDuySAx0DB1hH8SvK+ToErSyEae/7kEUn6zhu02hox6r5y6BVaVhHIWRG5vqPAZ5HaPFDrKPcgAoWIV4gNnQ+0sJT0dRLTxO6m7pqK8Srw5g8UM86iltM2Iw4PHwMRTrae5B4PsligrllO0LyN0MI8awLAipYhHiJIl0OOgYOwCb61/1ArAXEpSBwWS5MNe9BlkTWcVyura8LkiyjULeWdRRCZmRq+hSQJKhLt7COchMqWIR4iSJdHqacVuwfPMQ6it/RVG2Fc6QfU4ebWUdxuUZDO5ZFLUZEUDjrKITckWS1wNz0e4TkboCgDmMd5yZUsAjxEonaBCRpdWiizZ/dLkC/CKrFmTDueReyJLGO4zKTjknsHzxEi4sSr2Bu3g7ZboO67FHWUW6JChYhXqRIl4vWvn1wSv5zw7Wn0FQ9CedQD6zHfXe5jPb+/XBIThTS8gzEw0k2K8wNnyBkbRWEsEjWcW6JChYhXqRIlwuT3YxDw8dZR/E7qpSlUC1YMT2KJcus47hEk6EDi8JTERs6n3UUQu7I0r4L0pQZ6vJvso5yW1SwCPEiC+YlIzZ0Pj1NyIi66kk4+s7DeqqLdZQ5Z3Pa0DlwAIU0PUg8nOyww1T3EYKzyqGIiGEd57aoYBHiRTiOQ7EuF819HRD94Ik2T6NauBIBSUtgqn7H50ax9g0ewpTTimI9FSzi2Syd1ZBM41BXPs46yh1RwSLEyxTqcjFmncDxkdOso/gdjuOgrnoS9p7TsJ31rac5G3vbkaTVQa9JYB2FkNuSnQ6Yaj9EUEYxlFHxrOPcERUsQrxMemQaooIjUN/byjqKXwpckgWlbiGM1W/7zCiWTbSjrX8fivW0uCjxbJbOPRDHR6Cp3Mo6yoyoYBHiZXiOR4k+H429bTRNyADHcdCsfwr2iyd8ZhSra+AQLI5JlCUWsI5CyG3JTjtMNe8haFURlDGJrOPMiAoWIV6oLLEAV61jOHL5BOsofikwPRtKfRqMu9/yiVGsup4WJGsTkaTVs45CyG1ZOmsgTlyBZt2TrKPMChUsQrzQkog0xIRE0zQhI9dHsS6d9PpRLJvThrb+fTR6RTza9OjVuwhaXewVo1cAFSxCvBLHcSjR56Optx1OmiZkInDJGij1i7x+FKtj4ACmnFaUJuazjkLIbVk69kCcGIVm3bdYR5k1KliEeKmyxAKM2yZwaPgY6yh+6YZRrDMHWce5Z3U9LVgwLxk6jWc/kUX8l+y0w7T3PQRllEA5X8c6zqxRwSLES6WFpyI+NAb1Pb6/AbGnClyShYDExV47ijXltKK9v4umB4lHs3RUQ5y4Ck2Vd9x79QUqWIR4KY7jUJJYgCZDB+1NyMj1UazuU7CdPsA6zl1r7+uCTbSjVE8Fi3gm2WGHqeZ9BGcUe9XoFUAFixCvVpZYAJPdjP2DR1hH8VuqxZleO4pV19uCReELEKf23O1GiH+zdOyGaLwKtZeNXgFUsAjxaqlhSdBr4lHf28I6it+6PorVc9qrRrEmHZPo7D9A04PEY8kOO4x730dwpnfde/UFKliEeLEvniZsMXTCLjpYx/FbqsWZCEha4lWjWK19+2CXHCjR09ODxDNZOnZDMo555egVQAWLEK9XllgIs8OCrkHvXo/Jm311FMt6aj/rOLNS19OC9MhFiAmNZh2FkJt8OXpVCmW0d+6PSQWLEC+XHKZHslaP+h6aJmRJtSgDAcnpXjGKZbKb0TV4iKYHiceytH8+PXrlJau23woVLEJ8QEliPlr6OmFz2lhH8VtfjGI5es/AeqqLdZw7au3bB4fkpOlB4pFku2169CqrDMoo712fjQoWIT6gLLEAU04rOge9d8FLX6BKW+0Vo1h1PS1YHpWOqOAI1lEIuYm5/XNI5nGvW/fq66hgEeID9JoELJiXTNOEjH05inUW1pP7WMe5JaPNhP2Dh2l6kHgk2W6DqfZ9BGeWQREVxzrOfaGCRYiPKNHno62vC1NOK+sofk2VthoBKUs9dhSr2dABSZZQrM9jHYWQm0yPXk14/egVQAWLEJ9RllgAq2hDR7/3rMXki66PYhnOeeQoVl1PC1bOX4qIoHmsoxByg+ujV1nlXj96BVDBIsRnxKtjsSg8lfYm9ACqhasQkLLM40axxq0TODR8FGW0NQ7xQOa2XddGr55gHWVOUMEixIeU6AvQPnAAk45J1lH82g2jWCc6Wce5rsnQDgA0PUg8jmS3wlT7AYKzKqCI9P7RK4AKFiE+pTQxH3bRjrZ+71js0pepFq5EQOpyjxrFqutpwer5KxAWqGUdhZAbWNp2QbL4zugVQAWLEJ8SGzof6RFp9DShB+A4DtoNT8PRdx5TR1tZx8Ho1BiOXD6B0kRa+4p4Fsk6CVPN+wjOroQiMpZ1nDlDBYsQH1OSWIDOgQMw2y2so/g91YIVUC3KgHHn7yCLItMsTb1t4MChSJfLNAchX2du+ASSbRKadU+xjjKnqGAR4mNK9XlwSE609nneE2z+SLv5WTgvGzC5v5ZpjrqeFmTFroJGpWaag5CvEs0TMNVvQ2j+ZijmRbGOM6eoYBHiY6JDorAscjFNE3qIAN1CBK0smL4Xy2lnkmFkchTHRk6hlLbGIR7GVPsBABnqysdZR5lzVLAI8UGliQXoGjoMk83MOgoBoNn4DMTxKzC37mJy/sbeNih4AQW6tUzOT8itOMdHYG7+DKElj0AIDWMdZ85RwSLEB5Xo8yBKIpr6OlhHIQCU83UIzq6AqeZdSFb3L6FR19OMNbGroQ4Idfu5CbkdU/U74FVBUJc+wjqKS1DBIsQHRQZHYEV0OhpomtBjaNY/BWlqEubGT9x63mHLCE5cOYNS2nuQeBDH5T5YOquhrngcfGAI6zguQQWLEB9VmliAA0NHMG41so5CACjmRSO0YDNM9dsgWtz3b9LQ24oAXon8hGy3nZOQmRg//28ImnCEFjzAOorLUMEixEcV6/Ig48vVuwl76srHAVmGae/7bjtnXU8L1sZnIkQZ7LZzEnIn9r7zmDrUCM26b4FTBrCO4zJUsAjxUeFBYVgVvQwNvTRN6CmE0DCEljwCc8t2iONXXH6+QfMwTo+eo6cHiUcx7vwdFFHxCM6uYh3FpahgEeLDypIKcWj4OK5MjrKOQq5Rlz4CPiAQxuq3XX6uvd1NCBRUyI1f4/JzETIbtgvHYT3VBc3GZ8AJAus4LkUFixAfVqLPg4ITUNPdyDoKuYYPDIG64nFYOqvhGOl32XlkWUb1xToU6nIRrAxy2XkImS1ZljGx47dQJqQiaKXvP3RBBYsQH6YOCEV+QjaqL9Z7zIbDBAjN3wxBEw7jrjdddo6To2dhMA1gfUqpy85ByN2wntwH+6WT0G56Fhzv+/XD9z9CQvzc+pQyXJroxbmxi6yjkGu4ABU0676FqUONsPddcMk5qi/WIyo4AqvnL3fJ6xNyN2RJgnHn7xCQuhyqxZms47gFFSxCfFxW7GqEB4Zh98U61lHIVwRnV0ERFQ/jrjfm/LXtogN1Pc2oSiqBwPv2fS7EO0wdaoRj4CK0m58Fx3Gs47gFFSxCfJyCF1CRVIy93U1wiA7Wccg1nCBAs/EZWE92wXbh+Jy+dlv/PpjsZqxLKZvT1yXkXsiiExOfv4nApWuhSk5nHcdtqGAR4gfWp5RhwmZE58BB1lHIVwStLIAyIRUTO347p/fI7b5YjyURC5GoTZiz1yTkXlk6qiGODkG76Q9YR3ErKliE+IHUeUlYMC8Z1ZfqWUchX8HxPLSbnoX90klYT+6bk9ccs45j38ABGr0iHkGyW2GsfhvBGSVQxiWzjuNWVLAI8RPrkkvR1t+FCRttneNJVIszEZC6HMadv4MsSff9enu7m8BxPMpo70HiASzN2yGZJ6DZ8DTrKG5HBYsQP1GRVAxZllDX3cw6CvkKjuOg3fwsHAMXMXXo/tcr232xDnnxa6BVaeYgHSH3TpqywFj7PkJyN0ARGcc6jtvNWLDOnTuHvLw8pKWlITs7GydPnrzlcQ0NDQgODsaqVauu/zc1NTXngQkh9yY8KAzZcZnYTdOEHkeVnI7ApWsxset3kB32e36dC2PdOD92ida+Ih7BWPMe4HRAU/UE6yhMzFiwXnrpJbz44os4e/YsfvCDH+C555677bHp6ek4fPjw9f+Cgmj1YEI8yfqUUpwePYfuCQPrKORrtA8+D3HsMsxNv7/n16i+VA+tSoO1cf6xzhDxXM4rgzA3fgp12TchaCNYx2HijgXr8uXLOHjwIJ566ikAwJYtW3Dp0iV0d3e7IxshZI7lxq9BaEAI9lykUSxPo5yvQ0j+Zhhr3oVoGr/r93dKImouNaAiqQgKXuGChITM3sSO34IP1SC09FHWUZi5Y8EyGAyIi4uDQjH9zcpxHPR6PXp7e295/JkzZ5CRkYE1a9bgF7/4xdynJYTcF5UQgLLEQuy51ABRElnHIV+jWf8UwPEwfv7fd/2++wcP4ap1HOvp6UHCmO3icUwdboZ207PgVYGs4zAz42XO11dcvd1aLRkZGejr64NWq0VfXx82btyIyMhIPPbYY3d8/Zdffhlarfb6nx955BFs2bJlNtkxNjY2q+MI8VQsvobzIrLw2bndaDrfhpWRS91+fnJnisKHYKl5G+KKIvDRulm/3/Yz1dCHxiNCDsPVq1ddmPBm9LOYfEGWJdg++gX4uBRYU1fB5uavxftxv1/H4eHhN/z5poL15ptv4l/+5V8AAE888QT6+vrgdDqhUCggyzIMBgP0ev1NL6zRfPnESkJCAp544gk0NzfPWLBeffVVZGRk3NMHA9z8ARHibdz9NZwzbx50J+LQOrIfpWmFbj03mZlc9TiGD9VDrn8f8777s1ltK2Kym7Fv+BCeW/ktRESwud+FfhYTALB07cXUwEVE/fH/hSoiknWcuzaXX8c3TRF++9vfvn6T+g9/+EOsXr0ab731FgBg27ZtSEpKQlJS0k0vNDg4COnaGi4mkwk7duzA6tWr5ywoIWRucLUPjPIAACAASURBVByHdSmlaDa0Y9IxyToO+RpOoYT2wedhO3MQ1lNds3qf+p5WOGURlcnFLk5HyO1JNiuMO95A0MoCqFKXsY7D3IxPEb722mt47bXXkJaWhldeeQWvv/769bc9//zz+OyzzwBMl6/ly5dj5cqVyMnJQWVlJZ599lnXJSeE3LOq5FLYRDsaettYRyG3ELgsB6oFKzDx6a8hi84Zj6++WIesmFWICKJRJMKOuX4bRPMEtA/cfrUBfzLjPViLFi1Ce3v7Ld/2m9/85vr/v/zyy3j55ZfnLhkhxGXmh0Rh9fzlqL5Uj42pFazjkK/hOA7ah17C5X9+GZa2XQgtfPC2x/aZBnH8ymn8OP/P3ZiQkBuJ41dgqvsAocXfgCIylnUcj0AruRPip9allOLw8HEMmodZRyG3EJCQiuDsShh3vwVp0nTb46ov1iFEGYyChLVuTEfIjSZ2vgEuIBCaSv9cVPRWqGAR4qeKdLkIUgRiz6UG1lHIbWg3PgPZYYdxz7u3fLskS9hzqQEl+nyoFCo3pyNkmt1wDpNde6HZ8G3wQSGs43gMKliE+KlgZRCKdLmovlR/2+VXCFuCNgLqisdgbv4MjpH+m95+5PIJDFku09pXhBlZljH+yWtQxCQiJGc96zgehQoWIX5sfUoZ+k2DOHHlNOso5DbUJVsgqOdhYvvrN72t+mI94kNjsDxqCYNkhADWo62wXzyOsG+8AE4QWMfxKFSwCPFjq+YvQ3RwJHbT1jkeiwtQQfvAd2A92gbruSPX/37KaUVDbyuqUkpntVYWIXNNdtox/tnrCFyyBoFLsljH8ThUsAjxYzzHoyq5BPU9LbA5bazjkNsIyihBQOJiTPz+V5CvbXHUbOjAlNOKdcmljNMRf2Vu+gzi2DC033iBdRSPRAWLED+3LqUUZocFrf2zW9SSuN/0sg0vwtF3AZNdtQCmpwdXRi9FbOh8xumIPxLN4zDueQcheZugjLl5dxdCBYsQv6fXJCA9chGqL9axjkLuQJWcjqDVxZjY+QaGx/pwYOgI1tHN7YQR4+63AHDTG5STW6KCRQjB+uRSdA0ewugUbdrrybQPfAfSpAk76v8TAYISJfo81pGIH3IM9cDStguadU9CCNWyjuOxqGARQlCaWACe47G3u5F1FHIHivD5CC1+GHvHjqFg/iqEKINZRyJ+RpZljH/6awjh8xFa+ADrOB6NChYhBBqVGoW6HGw/Vw1JlljHIXdwadVKDARyKOgeZx2F+CHrsTbYTu9H2IMvgFMEsI7j0ahgEUIAAA+lbYTBNIADQ0dmPpgw82l3LXQB4Vh45BimTnSyjkP8iGSdxPi2/0Tg0rUIXJ7LOo7Ho4JFCAEArIhKx4J5ydh2ZifrKOQ2Lk9eQbOhHY+seBSBizMx/tF/QLJZWccifsL4+X9DmjIhbMsf0tprs0AFixACYHopgIfTNqKjfz8GTEOs45Bb+OzsbqgEFdanlGLeo380/ah89dusYxE/YO87D3PT76FZ9xQU4bQ0yGxQwSKEXFeRVIzQgBB8eu5z1lHI19hEO7af34P1qWUIVgZDERkHTeUTMDd8DMfAJdbxiA+TJRFjH/w7lDF6hJY8zDqO16CCRQi5LlChwqbUSuy8UIMpJ009eZKGnlaM2ybwSNqm63+nLnsUiqh4jH34c8gSPZxAXMPStguO3rMIe+z74AQF6zhegwoWIeQGD6VtgMU+iZpLtGSDJ/n47E5kx66GThN//e84hRLzvvky7JdOwtJZzTAd8VXixCgmdvwXQnI3QJWczjqOV6GCRQi5QWzofOQlrMHHZ3ZClmXWcQiAk1fO4PToOTz8ldGrL6gWrEBwdiUmtr8O0URLN5C5Nf7pr8AplNBu/g7rKF6HChYh5CaPpG3CpYkeHLl8gnUUAuDjMzsRFxqDtXEZt3y79sHnwYHDxO9/7eZkxJdZT+3H1KFGaB96EXyImnUcr0MFixByk8yYldBrEvDxmR2so/i9q1PjqO9txUNpGyHwwi2PEUK10D74PCb318J69rCbExJfJNttGPvoP6BauArBmbTn5b2ggkUIuQnHcXgkbSNa+jpx2TLCOo5f236+GgpOwMaU8jseF7y2CgEpyzD+4c8hO+1uSkd8lbHmXYjjVxD26B/Rmlf3iAoWIeSW1qWUQiWo8Om53ayj+C2n5MRn53ajMrkEalXoHY/lOA7zHvtjOEeHYNr7oZsSEl/kGOqFqe4j/P/t3WdgVGXaxvH/lGQmvSfUEFpCiZDQO9IiTSkRFKSKa4PFXZXFuq4KCoqsIrDuK4i6FF/AsCBIUymL1BASQDABKQklpPc+c94P+LLuKhBgkmdmuH+fyJg55wq5JVdOeY5X/9G4hDRUHcdhScESQvwmdxd3BjXtx8bT2yi3yBERFXan7iOrNIcR4YOr9fkudRrh1fdBCr75gsrMizWcTjgjTdPIXfMhRv8QvPs/pDqOQ5OCJYS4rhHhg8kvL2DH+T2qo9yV4lI2ERUSSVO/sGq/xytmDAafAPLWLJS7QMUtKzn0DRU/Hbt6atBFHuZ8J6RgCSGuq6F3fTrVjSYueaP8sK5lKTlnOJZ58j8WFq0OvasZ39iplKccoTRhZ82EE07JUlxA/voluLXvgznit+9YFdUnBUsIcUMjI4aSnPMTJ7JTVEe5q6xL2USweyDdG3S+5fe6teqIW1RP8tb9HWtJYQ2kE84of8MSNKsF3+GPq47iFKRgCSFuqHO9dtT3rCNLNtSi/PICvjm3m2HNB2G8ztIMN+M74km0ygryN35q23DCKZX/dJySA9vwGToZg5ef6jhOQQqWEOKG9Do9w8MHszN1L9mluarj3BU2nd4OmsbQZgNuexsGnwB8hk6ieO8mWRtL3JC1vIzcL/6Ka6MWeHQdpDqO05CCJYS4qUFN+2HUGfjqlDzvrqZZrBb+mbKZvmE98TX73NG2PLoPxdS8Lbkr52EtKbJRQuFs8jcswZKXhd8jz6PTSy2wFfmbFELclJerJzGN72X9qS1UWipVx3Fqey8e4kpJ5i1f3P5bdHo9fmOfx1pWSu6Xi2yQTjib0hMHKf5+Iz7DfodLcAPVcZyKFCwhRLWMiBhCTlkuu9P2qY7i1OKSN9E6MIKIgGY22Z7RLwi/UdMoPbyDErmrUPyCpSif3FV/xdyyIx7d77zQi/8kBUsIUS1NfBsRFRJJXPIm1VGc1tm8VBKuHGWEDY5e/ZJbu3txi+5N7pqFVOXJo4/EzwuKrv4ArBb8Hv6DPA6nBkjBEkJUW2z4UI5n/UhKzk+qozildSlf42/2497Qbjbdrk6nw+/BaehdzeSufA/NarXp9oXjKTm4nbKje/EbPR2DT4DqOE5JCpYQotq6NehEsHugHMWqAUUVxWw7u4MHmt+Hi8HF5tvXe3jhN/ZZylMSKfrXBptvXziOqux08uI+wr3TANza9lAdx2lJwRJCVJtRb2B4+CC+PbebvLIC1XGcyuYz31JhqeSB5vfV2D7MEe3w7DWc/K+WUnn5XI3tR9gvzWohZ/k76D288B35pOo4Tk0KlhDilgxpGoNOp2Ptj3IUxFYqLJWsPrmePo26E+DmX6P78hk6GWNgXXKWv4tWJXeE3m0Kv1tLxbmT+D8yA73ZQ3UcpyYFSwhxS3zN3oyMGMra5K/ILctTHccpbDi1hazSHCZEPlTj+9K5mvAf9ycq089TsPkfNb4/YT8qLpymYPM/8Oo7ClPTSNVxnJ4ULCHELRvTagR6nZ4VP3ypOorDK60qY/kPa4hpfC+NfGpnHSLXBs3wHjiOwu/WUH7meK3sU6ilVZSTs/wdXOo0wnvQeNVx7gpSsIQQt8zH5M3oFsNYn7KZjJIs1XEcWlzyRgoripl0z8O1ul+vfqNwbdyKnOXvYi0rrtV9i9qXv3EZVVmX8R83A53R9jdRiF+TgiWEuC2jWj6Am4uZfxxbrTqKwyqsKGLViXUMbTqAup4htbpvnd6A/yMzsBYXkBf391rdt6hdZckJFO3+Jz73T8GlbpjqOHcNKVhCiNvi4eLO2FaxbPrpGy4VpquO45BWn1xPuaWC8ZGjlOzfGFAH35FPUXJwG6VJe5RkEDXLWlxI7sr5mMKj8Oz5gOo4dxUpWEKI2zYifDC+Zm+WHVulOorDySvLZ82PGxgZPphAd3ULPbp3GoC5TTdyVy/AUpCjLIeoGblrF2KtKMNv7HPyIOdaJn/bQojbZjKaGB85mu1nd3EuP1V1HIey8kQcOnSMaRWrNIdOp8Nv9HTQG64u3WCxKM0jbKd4/1ZKj+zCb9Q0jL5BquPcdaRgCSHuyNCmAwjxCOKTpJWqoziMrJJs1qV8zaiWD+Br9lYdB4OnL/7jZ1J+Oon8jZ+ojiNsoPzcSXLXLMSj6yDc292rOs5dSQqWEOKOuBhcmHTPw+xK20dy9mnVcRzC58fXYDK4MrrFMNVRrjGHR+Ez7HGKdnxJ8aFvVMcRd8CSn032J2/iGtoc39inVce5a0nBEkLcsQGN7yXUuz5LklaojmL3LhddYePpbYxtNRJPV/taSduz1zDcO8WQ+78fUJGarDqOuA1aZQVZS99Ap9cT8OirsiSDQlKwhBB3zKg3MLnNWA5eTuBoxgnVcezap8e+wMfkxYiIIaqj/MrV67Gm4Vq/KVlL38CSn606krgFmqaRu3oBlZfPEvDonzF4+amOdFeTgiWEsIl7Q7vRzK8xS5KWo2ma6jh26Vx+GtvO7mR85GjcjGbVcX6TzuhKwKOvApC9bBZaVYXiRKK6inb9k5JD3+D/0B9wDQ1XHeeuJwVLCGETep2eKW0eISnjB+LTE1XHsUvLjq4iyC2Aoc1iVEe5IYNPAIGP/pmKC6fJXbtICrMDKEtOIH/9x3j2fRD3Dn1VxxFIwRJC2FDX+h1oFRjBx4lyFOu/peScYWfq90xs8zCuBvu/Lsa1UQR+o5+hZP9Wivd8pTqOuIGqrEtkf/YWpoh2+AydrDqO+JkULCGEzeh0On7XdhzJOafZc+GA6jh25ZOkFTT0qsd9jfuojlJtHp3649l7BHnrPqLsVJLqOOI3WMtKyFryOgYPHwImzESnN6iOJH4mBUsIYVPt6rShXUgbliatxGKVRSsBjmf+yL5L8UxuMwajg/0A9HngMUzN2pLz6WyqsuWRSPZEs1rJWTEPS24mAVNeQ+/upTqS+AUpWEIIm3ssahxn88/z3Xl5vh3AkqTlNPUNo0+jHqqj3DKdwUDAxJfQmT3IXvo61vJS1ZHEzwq2rqDs+D78x/8JlzqhquOI/yIFSwhhc60DI+hWvyPLjq2iylqlOo5Sh9OTOHLlGFPajkWvc8x/cvUeXgQ+9hpV2enkrnxPrq+zA6VJeyjcugLvwRNxi+yiOo74DY75f7sQwu5NafsIFwsvs+XMd6qjKKNpGksSl9MyoDnd6ndSHeeOuNQNw/+RGVd/sG+Xh3urVHnpLDkr5uEW1ROv/g+pjiOuQwqWEKJGNPNrTN9GPfj02BcUV5aojqPErrS9nMhO4bG249DpdKrj3DG3Nt3wHjiegq8/pyRhp+o4dyVLXhZZS/6CMbAefmOec4q5clZSsIQQNebxqAkUVRTzYfwS1VFqXXZpLvMPfkSPBp1pX6et6jg24xUzBvcO/chZ/g4libtVx7mrWPKyyFw0EzSNgMdeQ2+yz8VqxVVSsIQQNaauZwjTO/yOzWe+ZXfqPtVxao2maczd/yEGnZ4Znac61VEGnV6P39hncYvuTc7ncyhJkhsZaoMlP5vMRTPRKisImjoXo3+I6kjiJqRgCSFq1KAm/ejVsCvvHlhEVsnd8Wy7f57azIFLh5nZ5ff4mn1Ux7E5nd6A/9jncYvqRc5nb1P14yHVkZzav8tVOUHT5mIMrKs6kqgGKVhCiBql0+l4rtPTGPVG5uxfgFWzqo5Uo87nX+BvCcsY3nwQXep3UB2nxugMBvwfmYFb2x5UrF1A6bG75whlbbIU5pK56AW08jKCpr6DMbCe6kiimqRgCSFqnK/Zmxe7TufQ5UTWpXytOk6NqbRUMmvvfEI8gniqnfM/skRnMOA/7k8YWnQg+9PZlB6XkmVLV8vVTKxlxQROm4sxSMqVI5GCJYSoFZ3qtWNkxBA+OvIZ5/JTVcepEZ8e+4Kfcs/xSrdnMRtNquPUCp3BgOuIqbhFdiF72WxKf5BHJNmCpTCPzEUvYC0pImjqXFyC6quOJG6RFCwhRK15MmoidT2CefP7+VRaKlXHsamjGSdYeSKOyW3GEBHQTHWcWqUzGPGf8ALm1p3I/mQWpScOqo7k0CxFeWQufgFrScHVchXSUHUkcRukYAkhao3JaOKV7s9yLj+NZUedZ7HK4soSZu/9K60DIxjbaqTqOEroDEYCJryIuWUHspe+SdnJeNWRHJKlKJ+sxS9iLcon6GkpV45MCpYQolaF+zdlSpuxrDwRR9KVH1THsYkF8R9TUF7Iy93+iMHBHuZsSzqjCwGTXsLcoh1ZS1+XknWLLMUFZC1+EUtBDkFT58jzBR2cFCwhRK17qOVw7glqyey9f6Woolh1nDuyM/V7tpz5jmc6Pk5dT1mbSGd0IWDyy5gjfi5ZPx5WHckhWIsLfy5X2VdPC9ZppDqSuENSsIQQtc6gN/BStz9QVFnMB/H/ozrObcsqyea9A3+jd8Ou3Ne4j+o4dkNndL1assKjyFryF4r2bZYHRN9AZfp5Mj54FkteFkFPz8GlbpjqSMIGpGAJIZSo6xnCHzo+wbazO/nuvOOtBm7VrLy9bwEuBiPPdX7aqVZrtwWd0ZWAR1/Fo1MMef/7Abkr38NaUaY6lt0pObyDjPnPgF5P0PR5uNRrrDqSsBGj6gBCiLvXgLDe7Lt4iPkH/0ZkUAuC3QNVR6q2uORNxKcnMq/vX/AxeauOY5d0Rlf8Rv8e18YtyVv9IZUXfyJg8quynhOgVVWSt/5jiv+1AfcOffEdNV2eLehk5AiWEEIZnU7Hsx2fwmwwMWffBw6zyvvZvFT+fuQzYiOG0rFutOo4ds+jY3+C//g+WmUFV96bRunRvaojKVWVm0nmhzMo3rsZ3wen4ffIDClXTkgKlhBCKS+TJy92e4bD6UdZfnyt6jg3VVhRxKy986nnVYcnoiaojuMwXOo1Jvi5BZjDo8n+5A3yNixBs1hUx6p1ZT8eJmPeVCwFOQQ/Mw/PHkPl9LKTklOEQgjl2tdpy+R7xrD06AqKKot5Mnoiep39/f6XXpTBzJ1vkFOax/v9Z2G6S1ZrtxW92QP/ya9QtDOO/K+WUnE+mYAJL2DwCVAdrcZpViuF21ZRsHU5poj2+I//EwYPObXszKRgCSHswqQ2D+Nt8mJB/MekF2fwcrc/YjK4qo51TUrOT8zc8SYmoyuL7ptDqHcD1ZEckk6nw6tPLK6hEWR/9hZX3ptGwMSXMDW9R3W0GmMpLiB3+buU/RiP933j8IoZg05vf79ACNuS77AQwm6MjBjCrF4vsv9iPM99+2fyywtURwJg/8XDTN/+EsEegSyOeUfKlQ2YmkYS8vxCXIIbkrloJoXfrXXKpRwqUpPJmDeNitRkAh9/E++Bj0i5ukvId1kIYVd6NOzM+/1nkVZwialbZ3Kx8LLSPF+d3sZLu2YRHXIP7/efhb+br9I8zsTg7U/gU2/j1edB8jcsIetvL1GRdkp1LJuwFheS/9UnZHzwPHovP4KfX4i5ZQfVsUQtkoIlhLA7rQIjWHzfXDTg6a0zOZmVUusZNE1jSeJy5h1YxAPNBzKr14u4GeVOL1vTGQz43P8oAY+/gSUvi4z3fk/2sllUpp9XHe22WMtKKNi2kstvTqToX+vx6htL8PR3MfoFq44maplcgyWEsEv1veqyKGYuL++azTPfvMyfuz9Pj4ada2XflZZK5u5fyPZzO3kqehIPtRwud3rVMLdWnTBHtKck/lsKtiznytyncG/fB++B4zAG1lUd76a0inKKvt9I4TersZaV4Nl9CF4DHsLg5ac6mlBECpYQwm75mr2Z3+8NZu97n1d2v830Dr9jZMSQGt1nYUURr+6ew/HMk7zW/Xn6hvWs0f2Jf9MZDHh0jsG9/b0U79tCwfZVlCTsxKPLQLxjxmDwtb+FaDVLFcX7t1K4bRWWwhw8OsXgdd9YOWIlpGAJIeybyWjiLz1m8NGRz/gg/n+4UpzBEzW0jMOV4kxm7niDrNIc3uv3Bm2DW9t8H+LmdEZXPHs+gHvnGIr3fEXhN6spPrQdzx7349VvNAZPH9UR0awWSg7voGDLCiw56bhF98Z70HhcguqrjibshBQsIYTd0+v0PN1uMiEeQXwYv4QrxZlMaz+FQHfbrJ9k1awkXjnOrL3zcdG7sChmLo185E5B1fSuZrz6jsKj62AKd8ZRtHMdxXu/xrP3CDw6DVBy6tBaVkzZiUMUbFtJVXoq5siuBE75szxDUPzKTQvW9OnT2bBhA+fPn+fYsWNERkZe93OXLl3KnDlzsFqt9OvXj8WLF2M0SocTQthGbMRQgt0DmfX9fHakfk+4f1O61GtPt/odiQhodktHtYorSzh0+Qj7LsZz4NJhcsvyaRHQnLd7vyJ3CtoZvZsHPoPG49nzAQq/XU3hjrUUbluJwT8EU3gU5vBoTM2jMHjZ/vumVVVQfvYk5acSKU8+QkVaClitmMKj8Hv4WUxhLWy+T+EcdNpNFh7ZvXs3TZo0oUePHmzcuPG6Bevs2bN0796dI0eOEBwczLBhwxgyZAhPPPHEb35+QkIC7du35/Dhw7Rr1+62wufk5ODv739b7xXCHsgM356C8kIOXEpg38V4Dl5OoLCiCD+zD51/Llsd6kbh4eL+q/ddKLjE3ouH2HcxnqSMH7BoFhr7hNK1fge61u9Iq8AIjHqDgq/IsdX2HFtLiyn/6SjlKYmUpRyhKj0VAJe6YZjCozGFR2Fqeg96869n4GY0q4XKi2coSz5C+alEKs78gFZZjt7DG1PztpjCozGHR2EMlAdWOxtbz/FNDy/16tWrWhtau3YtI0aMICQkBIAnn3ySd95557oFSwghbpe3yYsBjXszoHFvqqwWfsj6kX0X49l/MZ4tZ77DqDfSNrgVXep1INS7PvHpSey7GM+Fwku46l2ICrmH37efQpf6HajrGaL6yxG3SO/mgVtkV9wiuwJgyc+m/FQSZSmJlCbtoWjXOtAbcG0UgWtYS3RGl5tvVNOoyrhA2ekktJIidK4mTE3b4D14AqbmUbjUaywLhIpbYrPzd6mpqTRq1Ojax2FhYaSmptpq80II8ZuMegNtg1vTNrg1T0ZP5HLRFfZfjGfvxXg+TvwHFdZKAt386VK/A0+3m0S7Om1lPSsnY/AJwL1DX9w79EXTNKqyLlGekkh5yhFKj+2Faq4Qb/AJwLPnMMzh0bg2iqheMRPiOmx6gdQv14mp7iMPpk2bho/Pv+8IGTlyJLGxsdV6b25u7q0FFMLOyAzbngkXegd1pXdQV8qqyskqy6G+R51r/z6VFpRQSonilM7F7ubY4AYtu6Jr2ZVbfRy3BSgGigsKayCYsGd3Osf/fXrxVwXr888/Z/78+QA888wzTJ48uVobDg0N5dy5c9c+Pn/+PKGhoTd938KFC2/7Giz49RckhKORGa5Z9bD/RSqdgcyxcAa2nONfnVCeMGECiYmJJCYmVrtcAcTGxrJu3TquXLmCpml89NFHPPzwwzYLKoQQQgjhKG56xd7UqVNp0KABFy5coH///jRr1uzaf3vsscfYsGEDAE2aNOH111+ne/fuNG3alODgYKZMmVJzyYUQQggh7NRNl2moKbJMgxAyw8I5yBwLZ2DrOXboe06//PJL1RGEuCMyw8IZyBwLZ2DrOXboghUXF6c6ghB3RGZYOAOZY+EMbD3HDl2whBBCCCHskRQsIYQQQggbU/Yk5tLSUgBOnjx529vIz88nISHBVpGEqHUyw8IZyBwLZ2CLOW7RogXu7lefgansLsIVK1Ywbtw4FbsWQgghhLC5X66MoKxgZWVlsXXrVsLCwnBzc1MRQQghhBDCZuziCJYQQgghhLOSi9yFEEIIIWxMCpYQQgghhI05ZME6deoU3bp1Izw8nE6dOnHixAnVkYS4oenTpxMWFoZOp+P48ePXXs/IyGDgwIE0b96cyMhI9uzZozClEDdWVlbG8OHDCQ8PJyoqioEDB3Lu3DlAZlk4lpiYGNq0aUNUVBQ9e/YkMTERsPEcaw6oT58+2rJlyzRN07Q1a9ZoXbp0URtIiJvYtWuXlpaWpjVq1Eg7duzYtdcnT56svfbaa5qmadrBgwe10NBQrbKyUlFKIW6stLRU27Rpk2a1WjVN07QPP/xQGzBggKZpMsvCseTm5l7787p167To6GhN02w7xw53BCsjI4OEhIRrSzzExsZy9uzZa79FCWGPevXqRYMGDX71+urVq5k6dSoAHTt2JCQkRH7zF3bLbDYzePBgdDodAF26dOHMmTOAzLJwLL6+vtf+nJ+fj15/tQ7Zco6VLTR6u9LS0qhXrx5G49XoOp2O0NBQUlNTCQsLUxtOiFuQnZ2N1WolKCjo2mthYWGkpqYqTCVE9S1YsID7779fZlk4pAkTJrBjxw4AtmzZYvM5drgjWMC1357+nyYrTQgHJbMsHNVbb73FqVOnmD17NiCzLBzP559/TlpaGrNmzWLGjBmAbefY4QpWw4YNuXDhAlVVVcDVLz4tLY3Q0FDFyYS4NQEBAQBkZmZee+38+fMyy8LuzZs3j7i4ODZv3oy7u7vMsnBoEydOvHYkC2w3xw5XsIKDg4mOjmb58uUAfPnll4SFhcnpQeGQRo0axaJFiwA4dOgQ6enp9OjRQ3EqIa5v/vz5rFq1iu3bt//HdSwyy8JRFBQUcOnSpWsfr1u3joCAAPz9/W06xw65kntycjKTJk0iOzsbb29vPvvsM1q3bq06lhDXNXXqVNavX096CGfYygAAAJZJREFUejqBgYF4enpy+vRprly5wvjx4zl79iyurq4sXryY3r17q44rxG+6cOECDRs2pEmTJnh5eQFgMpk4cOCAzLJwGGlpacTGxlJaWoperycoKIh58+YRFRVl0zl2yIIlhBBCCGHPHO4UoRBCCCGEvZOCJYQQQghhY1KwhBBCCCFsTAqWEEIIIYSNScESQgghhLCx/wPxkvS8gbQmxwAAAABJRU5ErkJggg=="
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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",
"text/plain": [
"PyPlot.Figure(PyObject <Figure size 600x400 with 1 Axes>)"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# plot the first three basis functions\n",
"ts = range(0, Tgate; length=51)\n",
"ax = plot()\n",
"for order in 1:3\n",
" p = Float64.(order .== 1:2order)\n",
" plot!(ax, ts, [controls(t, p)[1] for t in ts])\n",
"end\n",
"display(ax)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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",
"text/plain": [
"PyPlot.Figure(PyObject <Figure size 600x400 with 1 Axes>)"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# look at the populations under something a little over a π pulse as a sanity check\n",
"prob = ODEProblem{true}(dudt_wrapped, U₀, (0.0,Tgate), vcat(2pi*-0.2, [0.1, 0.0]))\n",
"sol = solve(prob, Tsit5(), abstol=1e-8, reltol=1e-8)\n",
"pops = []\n",
"ts = range(0, Tgate; length=51)\n",
"for t = ts\n",
" # the solution is a column stacked version of [Uᵣ; Uᵢ]\n",
" u_tot = reshape(sol(t), 6, 3)\n",
" U = u_tot[1:3, 1:3] + 1im*u_tot[4:6,1:3]\n",
" state = U*[1;0;0]\n",
" push!(pops, abs2.(state))\n",
"end\n",
"p = plot()\n",
"for ct = 1:3\n",
" plot!(p, ts, [ps[ct] for ps in pops], label=\"|$ct⟩\")\n",
"end\n",
"display(p)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Optimization\n",
"\n",
"Now for some target $U_{goal}$ let's build a loss function that solves the differential equation to the endpoint at Tgate and then calculates the overlap with the goal unitary using $|tr\\left(U_{goal}^\\dagger U_{solved}\\right)|^2/D^2$ defined only on the qubit subspace."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"loss_adjoint (generic function with 1 method)"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# lock Δ to -200 MHz for now\n",
"# docs say ForwardDiffSensitivity is best for small systems\n",
"prob = ODEProblem{true}(dudt_wrapped, U₀, (0.0,Tgate), vcat(2pi*-0.2, [0.08, 0.0]))\n",
"function predict_adjoint(p)\n",
" Array(solve(prob, Tsit5(), p=vcat(2π*-0.2, p), saveat=Tgate, save_start=false, abstol=1e-8, reltol=1e-8, sensealg=ForwardDiffSensitivity()))\n",
"end\n",
"\n",
"Ugoal = zeros(ComplexF64, 3, 3)\n",
"Ugoal[1:2, 1:2] = [[0 1];[1 0]] # X180\n",
"# Ugoal[1:2, 1:2] = [[1/√2 -1im/√2];[-1im/√2 1/√2]] # X90\n",
"Ugoal_adjoint = complex2real(Ugoal')\n",
"\n",
"function loss_adjoint(p)\n",
" U = reshape(predict_adjoint(p), 6, 3)\n",
" Utot = hcat(U, vcat(-U[4:6, :], U[1:3, :]))\n",
" m = Ugoal_adjoint*Utot\n",
" # manually take the trace of the real and imaginary parts\n",
" 1 - abs2(m[1,1] + m[2,2])/4 - abs2(m[4,1] + m[5,2])/4\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# as we scan the amplitude we should see the loss function oscillate\n",
"As = range(0,0.2; length=51)\n",
"plot(As, [loss_adjoint([A, 0.0]) for A in As])"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"([-17.936055789574723, 8.881784197001252e-16],)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"([16.46481250967538, -1.3322676295501878e-15],)"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# double check that we can take a gradient on either side of the minimum\n",
"display(gradient(loss_adjoint, [0.05, 0.0]))\n",
"display(gradient(loss_adjoint, [0.11, 0.0]))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Optimized Pulse Shapes\n",
"\n",
"Wonderfully the optimal control finds the exact solution we expect (up to a sign for X180). \n",
"\n",
"1. With a single sinusoid basis function it optimizes the area under the curve to perform a π (or -π) X pulse and puts zero amplitude in the Y quadrature as expected.\n",
"2. With the second basis function the optimization has something that starts to look like the derivative of the first basis function and so the optimization gives that component to the Y quadrature.\n",
"3. With the third basis function the optimization can smooth out the turn-on and off sections of the pulse and it almost starts to look like the analytical Gaussian solution.\n",
"4. With the fourth basis function there is little change."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"# lets look at the optimized controls for varying numbers of basis functions\n",
"opts = []\n",
"for ct in 1:4\n",
" p = 0.01*randn(2ct)\n",
" res = sciml_train(loss_adjoint, p, BFGS(initial_stepnorm=1e-6))\n",
" push!(opts, res)\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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vxrJly3I0/8uXLzFs2DA0bdoUY8aMyVPMN27cQOfOnSHLMjZs2KBz7sk47+zZswf79+/XWd7IyEhz7gGg99w0YcIEWFtb5ym+DL/88gt++eUXJCUlISYmBlOmTIG3tze2bNmCVq1a5WvdhoITrFLEyckJAHD79u1s571z5w4AoFKlSnneXlxcHHx9fZGcnIygoCB06dIFlpaWEEUREREROHTokFbClZSUBFEU9SYjWbVbcHBwyLQdTmhoKLZv346aNWuid+/ecHBwgJGREZ49e4bFixfrJHyFIbPYnzx5AiC97UFG+wN9suvOnfG95nYMmeTk5Czjc3Bw0LtOKysrnbKMdh6yLOcqhqy2n9f43o3r4MGD+PLLL7FlyxZMnDgRAGBnZ4exY8diypQp2SZanp6esLe31yRW4eHhsLW1Rf369ZGQkIB58+bh+PHjsLe3x8OHD9G7d+8s15cbBb2vcyO7tkL6pmf3nWUcq0lJSbneXnFycnJC3759UaNGDfj6+mLixIkICwvLcpmUlBSMGDFC07YwJ6ZMmYJ79+5h165dOjcxOXHz5k0EBQXh4cOH2Lx5s+bm4G0Z551Zs2blaJ0zZszQKRsyZAisra01x6e+7xP43/GQ0eZUHysrKwQGBmL37t2oVasWBg0ahBs3bmjakJVmnGCVIo0bN4aRkRHOnDmDpKQkvSfvDAcOHAAA1KlTR1OW8YNXq9U68+v7gS1cuBBPnz7FunXr0L9/f61pH374oU7jRysrKyiKgkePHsHe3l5r2oMHDzKNNbPkKioqCtu3b0e7du2wc+dOrQtpZGQkFi9enOk69cnt588uvoyTzg8//JDnu1UA8PHxgbGxMU6fPo3k5OQsT2b6tv/gwQNNLeLbEhMTc7yu/Mhu/+Q3Pjs7OyxZsgQ//PADLl26hIMHD+KHH37A9OnTYWRkhMmTJ2cbX8uWLbFp0yYkJCQgIiICLVu2hCAICAgIgJGREcLDwzW1VvouaoYoq84DmU1/+zvTJ6Nc3/eW3fb00Ve7kpX81rz4+PigQoUKmsbdWUlMTMTdu3dx9+7dTJOljHGgYmJi0LBhQ5w9exapqamoXbu23vknT56MyZMnY/z48ZoOJBni4+MRFBSEe/fu4ffff0fnzp31riNj3ycnJ6N8+fLZfo6sagnd3d0BpA80qm+5uLg4VKxYMUfj7llaWsLPzw9//PEH4uLi4OHhke0yho4TrFLEwsICvXv3xrp167BgwQLMnDlT73yxsbHYunUrjIyM0LdvX015hQoVAOivKcl4nPO2a9euAQC6du2qVa4oCo4dO6Yzf4MGDRAdHY0jR47o9DI6cuRINp9OV8b2O3XqpFNLkdn6JElCWlqa3mm5/fzZyegdeOLEiXwlWObm5ujTpw/Wrl2LBQsW6L3jzKBWqyGKIkRRRKNGjbB161ZEREToPJ45deoUXr16haZNm+Y5LiDr/Zmdgo5PEAR4eHjAw8MDXbt2hYuLC/78889sEywg/dHWpk2bsH79ely5cgXjxo0DkP6b8vX1xcGDB+Ho6KhJxnJCFMVCr4UqapaWlqhWrRri4uJw9+5dnRrwjJuqd3tL5lVWx7o+GTUvefXixQskJSVpauKyUr58ebz//vt6p+3cuRMJCQno16+fZqR4IP1cVaNGDZ35r169isOHD8PHxwf169fXOe7j4+MRGBiIe/fuISwsTKd39tuaNGmC6OhoREZGok2bNtl+jqxkPL7ft28fJk2apDXt1KlTePbsGTp06JDj9WU02SiJPUgLRbG2AGN65WccrJs3b5KNjQ1JkkQrVqzQmX7lyhVyd3cnADRu3DitacePHycA1KpVK61GzsePHyeVSqUT0wcffEAAaNeuXVrrmT17tqZh49sN5vPaizCzRtQZ8fbq1Uur/OLFi1ShQgW962vcuDGZmprqHQzvzp07JAgC1a5dW2v6lStXyNraOtNG7lmN59OkSRMSBIE2bNigM02WZYqIiMh02bfdvn2b7O3tSZIkWrx4sU4jdKL0Xlz+/v6anlRxcXGkUqnI0dGR7t69q5kvLS2NgoKCCACtXbtWU57dYK/6PmtW+zOzjgEZchufvhiuX79Of//9t866o6KiCNA/fo8+f//9NwEge3t7AqC1zqlTp5KRkRFZW1tT/fr1dZbNrJG7nZ0dubm56d1eXjpUZCav42BlJqNxcmYNxmfMmEEAaODAgVq9CC9cuECmpqZkZWWltxehvs4zxSE+Pl7vZ0tLS6P3339fb8eUly9fUmxsrN5elfrkdKDRDFk1cr9x4wa5urqSSqXS20HoXRcuXCCVSkW1atXSOw7c06dPKTo6OkdxEWU+0GhwcDAB2gONpqamZtr7ddWqVQSAatSokeNtG7oykkaWfCtXrtSMe3PhwgVNWUZVdffu3dG9e/ds1+Pi4oLdu3eja9euGDFiBH744QcEBgZqXpWze/dupKWloU2bNvj222+1lvXz80PTpk1x8OBBNG3aFC1atMDNmzfx559/okuXLti6davW/B9++CFWr16NkJAQ9O7dG7a2toiMjER0dDQ6deqk0+4oMDAQQ4cOxerVq1GvXj306NEDr1+/RlhYGPz8/LBjx45c7TNfX1/4+vpi48aNuH//Pvz8/HDr1i38+eef6NSpEzZt2qSzTKtWrXD69Gl06dIFzZs3h7GxMQICAhAQEIBKlSqhd+/e2LBhA7y9vdG+fXskJiZi69ataN++vWZMrdz4z3/+g6CgIPTp0weLFi2Ct7c3TE1NcevWLZw4cQIPHz7MUePkypUrY9++fejevTvGjx+PhQsXonXr1ppX5Zw6dQpRUVGwtLTUtG2oXr065s2bh4kTJ6J+/fro1asXLCwssGPHDly6dAndunXL1xhoQNb7MzsFEd+5c+fQo0cP+Pj4wNPTE05OTpqx2CRJ0rTJyk6dOnXg6OiIBw8ewNHRUevReVBQEL7++ms8e/YMgwcPztH6gPR9s3HjRoSGhqJRo0aQJAmdOnXKtMNGfqjV6iwfpw0ZMqTA3hn5+eefY+fOnfj1118RGxuL1q1b4+HDhwgLC8ObN2+wdu3aHD2aKi4xMTHo2bMnmjdvDnd3d9jZ2eHBgwfYv38/bt++jVq1aum0Xzp16hSCgoLQsmXLHD0+LEiBgYG4efMm/Pz8cP78eb3vkn37u/f09MSPP/6Ijz76CLVq1ULHjh1RvXp1TQeFQ4cOYciQIVi2bFmOtv/TTz+hWbNm6NGjB3r16oWKFStiz549OH/+PIYPH671yDyj1tnT0xMNGzZEpUqVkJSUhFOnTiE6OhrlypXD6tWr871PDEZxZ3gs3btdWt/9y+ndbIanT5/SzJkzydvbmywtLTXryegerK8GhIjo4cOHNHDgQLKxsSEzMzPy8/OjvXv3ZnrHHR4eTv7+/lS+fHmytramjh070pkzZzK9a1Wr1TRnzhyqVq0aGRsbU7Vq1Wj27NkUFxeX6xosIqLExEQaNmwYVaxYkUxNTalevXq0dOlSun79ut71PX/+nEaMGEHOzs4kiqLOvn358iWNHTuWHB0dycTEhOrXr0/r16/PdiT3rDx58oSmTp1Knp6eZGZmRuXKlSN3d3fq168fbdmyJctl3/Xy5UtatGgRtWzZkuzs7EilUpG1tTU1bdqUvv76a70jgG/bto1atmxJ5cuXJxMTE6pXrx4tWLCA3rx5ozVfXmqwstqfOa2JyWl8+mK4ffs2TZo0ifz8/MjBwYGMjY3JxcWFQkND6eTJk1lu9129e/cmANS7d2+t8levXpGJiQkBoK1bt+osl9lv4/79+9SrVy+ys7PT7Bt9I7m/Ky81WFmdO979Hea3BouI6MWLFzRt2jSqWbMmGRsbk7W1NXXo0EHv0AAlrQbr5s2b9PHHH5O3tzfZ2tqSJElkZWVFfn5+NG/ePK3a9QwZ30lOR58vyBqs7L7bzL7LU6dOUZ8+fahixYpkZGREdnZ25OXlRZMmTaLY2NgcxZXh8uXLFBoaSra2tmRiYkJ169al77//Xuc6kpaWRjNmzKDAwEBydnYmIyMjMjc3pzp16tCECRNyXANYWghEhdwPlpUYY8aMwdKlSzFhwgQsXLiwuMNhjDHGSi1OsMoQWZbRqVMn7N27FzNnzsS0adOKOyTGGGOsVMr9QBzMYEmShLCwMMyYMQOKoiAhIaG4Q2KMMcZKJa7BYowxxhgrYFyDxRhjjDFWwDjBYowxxhgrYJxgMcYYY4wVMINKsFJSUhAdHY2UlJTiDoUxxhhjLFMGlWBdunQJ3t7euHTpUp6Wz+qFvYyVVHzcMkPExy0zNAV9zBpUgpVfpe3Fq6xs4OOWGSI+bpmhKehjtkwlWIwxxhhjRYETLMYYY4yxAsYJFmOMMcZYAVMVdwCMMcYYK31u3bqFR48eFXcYOZaUlAQrK6sczWtnZwcXF5cs5+EEizHGGGMF6tatW/Dw8Ci1wyqZm5sjNjY2yySLEyzGGGOMFahHjx4hJSUF69atg4eHR3GHU6BiY2MxYMAAPHr0iBMsxhhjjBU9Dw8PeHl5FXcYxYITLMZYqfA8jXDxKeFKEvD0NSEpDXiWBiSlpf+/vn8biYCVccafAOu3/t/KGJp/O5gJ8KwgwN0KUIlCcX9UxpgB4ASLMWZQZIUQlwxceEI4/8/fhSeE68//N4+5CjrJkq0pUN1S0Pzb0ghQE95KvtITr4epQFwyISmN/knIgDdK+npNJKCONVDfRkA9GwH1//lzNOeki7GS7tmzZ/j0008RHh4OIyMj2NraYtasWQgMDCyU7XGCxRgr0e6+JOy8RYhMVHDhCXDxKSH1nwGXHc3Sk50ebqIm4fGwBkxVBZfwEBGevH43oQM2Xlfw6p847E2hSbZaVRTQqpIA8wKMgTGWP4qioH379mjfvj2uXr0KURQRExOD7t27IywsDH5+fgW+TU6wGGMlikKE0w8JO24RdtxSEPMYkASggW16EtOvhqipQXIwK/wkRhAE2JoCgRUFBFb8X7mspNeaZdSgnX9C2BKvYOFFwFQCWlcU0MlFQCcXES7lONlirDjt2bMHb968wZdffqkpa9SoEaZOnYpZs2bhzZs3aNOmDSZOnIhr164hMDAQBw8ehLu7e563yQkWY6zYJacR/rpL2HlLwc7bhMRXQAUToENlAZ/VF9GusgAb05KVpEhiepssdysBPaumlxGltwHbcUvBjluEsccVjDqmoL4N0NlFRGcXAb72AiRux8XKmBQ14dKzwlt/bWtkWWt8/vx5+Pr66pT7+Phg1qxZOH36NHx9feHt7Y2JEydi/vz5+UquAE6wGGPF5HEqYX2cgu23CIfuE94o6e2bhrinJyJNHQWDa1AuCAJqWQO1rCVMrA88e03Yeye9Jm5ZrILZZwE7U6BjFQEhbiI6uRjeZ2QsLy49A7y3qgtt/Wd6qOBll/l0CwsLJCUl6ZQnJSXBwsICdnZ2+PXXXxEUFIShQ4eiT58++Y6JEyzGWJEhIpx6SPjxvwrCrhMUAoKcBSxoIqKTi4hqlqUr2bA2EdC7uoDe1UXICiEykbDzNmH7TQVrr8qoZAGMrC1ieG0RztxQnpVita3Tk6DCXH9WgoODMX36dJ3R2jds2IDg4GAAQExMDGxtbXHnzh0QEQQhf79JTrAYY4UuRU34Txzhx1gZ0Y8At3LADC8Rw2qJsC+CdlQlgSQK8HcS4O8EzPaREP2I8NN/Zcw5q2BmtIKQqgJG1RHRwknI94mdsZLGXCVkWcNU2Dw8PDBixAj07dsXGzduRLly5bB+/Xrs27cPJ0+eRHR0NL799ltER0fj/fffxzfffIMvvvgiX9vkBIsxVmiuPCP8FKvglysKktKADlUE7Ggnon1lbofkZSdgRQsV5jchrLmq4Kf/KgjcIaOONTCqjoiB7iIsjcv2PmKsoMydOxd79uzB+fPnMX78eIwZMwYDBgxA5cqV4evrC5VKhVWrVsHZ2Rlr166Fj48PAgIC4O/vn+dtcoLFGCtQaoWw/Sbhx1gF++8S7EyBkR4iRtYWUbWUPQIsCNYmAsZ7ShhXV0T4vfT9Nv6Egi9OKRjoLuIjDxH1bXm/MZYfkyZNwqRJk7TKiEjvvHZ2drhx40a+t8kJFsWzi4MAACAASURBVGOsQChE2HSdMPW0jKvJQFMHAb8GSgitKhTouFSllSCkj5/VqpKIuy8JKy8p+PlSeuP4bq4CZjWWUNeG9yNjhkIs7gAYY4aNiLDntoLGW9XofVCGu5WA091VON5NhQHuIidXeVDJQsB0bwnxfVX4NVDChSeEepvVGByhRvxz/XfdjLGShRMsxlienXigIGinjA57ZJirBBzuLGFnexW87TmpKghGooAB7iJi31Nhib+IvXcINTeqMe64jAcpnGgxVpJxgsUYy7WLTwjd9qnR7E8ZT18TdrSTcKSLhObOfEopDMaSgFF1JFzrrcIMbxFrryqoHqbGtNMyktI40WKsJOKzIWMsx64nEwaGq1F/sxoXnxDWB0mICVGhk4vIQwsUAQsjAZMbSrjeW4UxdUUsOK+g2gY15p+T8UrNiRZjJQknWIyxbCWlEcYfl1H7dzX23yUs9U9/bNWvhgiRE6siZ2MqYK6vhLjeKvSqJuL/ohS4b1Rj7RUl055RjLGixQkWYyxL2+IV1PldjVVXFMzwFhHXW4WP6kgwljixKm4VLQT8FCAh9j0VAhwFDD4ko+1uGdeTOclirLhxgsUY0yshhdBrvxrd/5LR0FbA36EqTG4owcKIE6uSpoaVgA2tVdjdXsLVJILnJjUWnJehVjjRYizDs2fPMHz4cFSvXh21a9eGv78/IiIiCm17nGAxxrQQEVZdVuDxuxoR9wn/aSVhRzsJLuU4sSrp2lcRcTFUhZEeIj47qaDpNhnnHnOSxZiiKGjfvj0qV66Mq1ev4tKlS1iyZAkGDx6MyMjIQtkmJ1iMMY1ryYTgXTLePyyjq6uA2PdU6FOdG7AbknJGAhY2lXCim4RUmdB4qxpTomSkciN4Vobt2bMHb968wZdffglRTE99GjVqhKlTp2LatGlwdHRESkqKZv6+ffvip59+ytc2eSR3xhjUCmHRRQX/Oq3A0QzY20FC28p8/2XImjiIONNDwLxzCr6OUbDphoKfm0toyUNpsGKgpKVC/eB2oa1f5VgForFpptPPnz8PX19fnXIfHx/MmjULwcHB+O233zB8+HAkJCRg//79WLFiRf5iytfSjDGDd/Yx4f3Dapx9DIyvK2JmYxHluJ1VqWAsCZjmJSG0qogRR2QE7pDxQW3CN01EWPGLpFkRUj+4jcQFYwtt/Q4Tf4BxFfdMp1tYWCApKUmnPCkpCRYWFhg/fjxGjhyJ4cOHY/ny5ejXrx/KlSuXr5g4wWKsjFKIMDtGwZfRCupUAE50leDrwLUbpZFHBQGHu0hYHpv+EukdtxT81oprs1jRUTlWgcPEHwp1/VkJDg7G9OnTkZSUBCsrK035hg0bEBwcDF9fX5iamuLQoUNYsWIFDh48mP+Y8r2GHBo3bhz+/PNP3Lx5ExcuXICnpycAYNiwYTh27BjMzMxgaWmJ77//Hg0bNiyqsBgrkxJfEQaEy9h/lzClkYhpjUQedqGUEwUBH9WR0NlFxKAIGa12ypjpTZjckMcyY4VPNDbNsoapsHl4eGDEiBHo27cvNm7ciHLlymH9+vXYt28fTp48CQAYP348BgwYgLp166JmzZr53maR3b6Ehobi6NGjcHV11Srv3r07/v77b5w9exaff/45evXqVVQhMVYmHb6voNEWNc49IezrKOGrxjymVVlSpZyA/R0lTGkoYtppBR33yHj4ihvAs9Jt7ty52LNnD3bv3o3x48cjJiYGAwYMQFpaGoKDgwGk5ykvXrzAmDFjCmSbRVaD1aJFC73lXbt21fy/n58fbt68CUVRNK38GWMFQyHCvHMKpp5W0NxJwG9BEipacGJVFkmigJmNJQQ4CRgQLqPhFjU2tOJ3SbLSa9KkSZg0aZJW2btvPYiOjoa9vT06depUINssUb+mxYsXo2PHjpxcMVbAHr4idNwjY0qUgskNROzvyMkVA9pWFnE2RIUalgKCdsqYe1aGwq/aYWXQ8OHDERoaiiVLlhRYDlJiGrmvW7cOGzduxJEjR7Kdd8yYMVqN1EJCQtCzZ89sl3v69Gm+YmSsOOT3uI18JGH4KVOkycBG/1S0cpKR/KyAgmMGzxTA702Buf81xuQoExy8nYaljVNha5K/RIvPt2Wbvh57JdnKlStzvUxSUhKePHmi+beNjY3W9BKRYIWFhWHGjBk4cOAAHBwcsp1/yZIl8PLyytO23t0BjBmCvBy3ChHmn1Mw5bSCZo4C/tNKQiULk0KIjpUG37UA2lZVMCAcaBVeDhtaSfB3yt+dPJ9vy663K0FKKysrqyyP8WJ/Frdx40ZMnToV+/fvh4uLS3GHw1ip8DiV0GWvjElRCj6rL+JgJwmV+JEgy0b7KumPDF3LCWi5Q8b8c/zIkLG8KrIarNGjR2Pbtm1ISEhAcHAwypUrh7i4OPTv3x9OTk7o1q2bZt4DBw7A1ta2qEJjrFT5+wmh0141XrwBdrWX0KFKsd9HMQNSuZyA8M4Spp1W8PkpBaceEtYGSjBTcYLOci82Nra4QyhwOf1MRZZgLV26FEuXLtUpf/PmTVGFwFipt/+ugp5/yXAtDxzuouIXNLM8MRIFzPWV4OcgoH+4jKCdMv5sK8HBjI8nljN2dnYwNzfHgAEDijuUQmFubg47O7ss5ykRbbAYY/n370sKPjwqI7iSgLDWEiz5VSgsn7q7iTjUGeiyV0aTP9TY1V4Fjwp8XLHsubi4IDY2Fo8ePSruUHLs3VHes2JnZ5dtsyZOsBgzcAoRpp5WMOesgpG1RSzxF6ES+SLICkZjexGR3QR03qtG0z/V2BIsoVUlfuzMsufi4mJQbaufPHlSoB0z+FfCmAF7pSb0PShj7lkF3zYR8VMAJ1es4LmWF3C0qwq+9gLa7ZbxyxWluENirMTjGizGDNTDV4Ru+2ScfUzYFCwhpCrfL7HCY2UsYGd7CaOPyRh6SMa1ZMJMbxECv8eQMb04wWLMAF1+Rui4R40XaiCiswRfB06uWOEzEgUsD5BQw1LBF6cUXEsmrGohwZR7GDKmg8/KjBmYQ/cVNP1TDVMJONlNxckVK1KCIODzBhI2tpawJZ7QZpeMR6k8VhZj7+IzM2MG5NerCtrskuFlK+BYVxXcynPNASse71UTEd5JwuUkQtNtalx5xkkWY2/jBIsxA7HgvIxBETIG1hCwu4MEaxNOrljxauooIrKbCioRaPanGtGPOMliLAMnWIwZgK+jZXx6UsH/NRSxsoUEI+4pyEqIapYCjnVRoZqlgFY71TiZyD0MGQM4wWKsRCMifH3RGNPOKPi6sYhZPhL32mIljo2pgP0dJXhWEBC8S8bh+5xkMcYJFmMlFBHhk0gFCy+bYEETEVMaScUdEmOZsjQWsKeDBB87Ae13y4h4wMcrK9s4wWKsBFKIMOqYgkUXFXzTMBWf1OeLFSv5yhmlj5XV0llAv+Nm2HmLa7JY2cUJFmMljKwQ3j8sY3msgn+3kPB+dX4hOjMcZioBf7SV0MpRjR5/ydhyg5MsVjZxgsVYCfJGIfQPl/HrVcK6IAnDavFPlBkeE0nAar9UhLgJ6HVAxm9xnGSxsodHcmeshHgtE/ockLHzNiGstYSe/OobZsCMRGB9kARTScaAcBmvZWAo3zCwMoQTLMZKgFdqQs/9Mg7eI2xtI6GTC1+ImOGTRAGrWkowlRQMOyzjlUwYVYfbE7KygRMsxorZyzeErvtknHhA2NFOQnAlTq5Y6SEKAn4KEGGqAkYfU5CqBnfaYGUCJ1iMFaNXakKnvTLOPCLs6SChhTMnV6z0EQQBC/1EmKuAiSfT22NxksVKO06wGCsmaTIhdL+MU4mEfR0lBDhxcsVKL0EQMKuxCKL0JMvSWMDw2nzMs9KLEyzGioGsEAZFyPjrLmF7W06uWNkgCAJm+4hISgM+OCLD0gjoVZ2PfVY6cYLFWBGjfwYR/f0GYWNrCe2q8AWGlR2CIGCJv4jkN4QBETLKGwMd+DfASiE+qhkrQkSEL04p+PmSgpXNeSgGVjaJgoDVLSV0qCKg518yjvC7C1kpxGd3xorQnLMK5p9XsKipyGMCsTLNSBQQ1kqCn4OQ3tHjIRV3SIwVKD7DM1ZElv4tY8ppBV96iRjvyT2oGDNVCdjWVkKdCgLa71Ej9iknWaz04ASLsSKw7qqCMccVfOwp4l9e/LNjLEN5YwG72klwMgPa7FYj/jknWax04DM9Y4Xsj3gFQw7JGFZTwAI/EYIgFHdIjJUoNqYC9nVUwVQCgnepcT+Fkyxm+DjBYqwQHbiroPcBGT3cBPzcXOLkirFMOJsL2N9RhVQZaLtLjSepnGQxw8YJFmOFJPKBgm77ZLSqKGB9kARJ5OSKsay4lRfwVwcVEl4BHfbIeJ7GSRYzXJxgMVYIYp8SOu6V0chWwOY2EowlTq4YywmPCgL2dlDh0jNCyH4ZaTInWcwwcYLFWAF7kELouEeNiubA9nYSzFWcXDGWG1526b0LD90nfHRUBhEnWczwcILFWAF6pSZ0+0tGqgzsbKeCtQknV4zlRWBFEataSFh1hTDnLA9EygwPvyqHsQKiEGFghIzzjwmHu0hwLc/JFWP5McBdxLVkwpTTCqpZCujD7y1kBoQTLMYKyORTCrbcIGxpI6GxPV8IGCsI//ISEZdMGHJIRhULwJ9fjM4MBB+pjBWAn2MVfHNewQI/Ed3d+GfFWEERBAErW0hoYi+g2z4ZcUncHosZBr4SMJZPe28rGHVMxug6IiZ48k+KsYJmIgnY2kaCrSnQcY8aj3mMLGYA+GrAWD5ceEJ474CMdpUFLGrKo7QzVlhsTAXsaq/C0zSgx18yXvPwDayE4wSLsTy6n0LotEeN6pbAhlYSVDyQKGOFqrpl+vANpx4S3j/Mwzewko0TLMby4OUbQpe9MhQAO9qpUN6YkyvGikIzRxFrWkpYH0eYEc3DN7CSi3sRMpZLskLoFy7j0jPC0a4qVLLg5IqxotS7uojrzwn/F6WgWnkBg2pyXQEreYrsqBw3bhzc3NwgCAIuXryoKU9MTET79u3h7u4OT09PHD16tKhCYixPPj2pYMctwsbWEhracnLFWHGY1EDE+7UEDD8iI+Ie12SxkqfIEqzQ0FAcPXoUrq6uWuWTJk2Cn58frl69itWrV6N///5Qq9VFFRZjufLTf2Usuqjgh2YiOrrwXTNjxUUQBPwUIKGFk4Aef8m4ysM3sBIm00eEiqIgJiYGJ0+eREJCAl69egVbW1vUqlULAQEBsLe3z9WGWrRoobd848aNuHHjBgDAx8cHjo6OOHr0KAIDA3O1fsYK25H7CsYdVzC2rohRdaTiDoexMs9IFLApWEKTbWp036dGZDduD8lKDp0EKy4uDkuXLsX69evx6NEjiKIIa2trmJqa4unTp3j16hUEQUDz5s0xYsQI9O3bF6KYtzv5x48fQ1EUrWTNzc0Nt27dyvsnYqwQ3HlBCD0gw99JwAI/rrlirKSwNhHwRxsVmmxTY8ghGZuCJR4uhZUIWgnWBx98gLVr18LPzw/Tp0+Hv78/6tWrB0n63916YmIiTp06hd27d2PixIn46quvsGrVKjRr1ixPAbz7Q8hJt9sxY8bAyspK8++QkBD07Nkz2+WePn2a+wBZmfdaBrodMocKApZ7peD5s6J9FMHHLTNERXncOgJY6q3CoEgz/OvES3xcO63Its1Kj/weszY2Nlr/1kqwiAgXL15EjRo1Ml2Bg4MDOnfujM6dO+P777/H+vXrcePGjTwlWLa2tgCAhw8famqxbt68CRcXlyyXW7JkCby8vHK9PUB3BzCWFSLCiCMy/k4mHOkioZZ9hWKJg49bZoiK8rgdaANcfS3j6xgT+FcxR/sqXNPMcq8gj1mtI3DFihVZJlfvkiQJgwYNQv/+/fMcwHvvvYelS5cCAKKiopCQkICAgIA8r4+xgvTzJQX/vkxYFiDBh1/gzFiJ9qW3iA5VBPQ9KONaMjd6Z8Ur0yvG4cOHNY3P3/X8+XMcPnw4VxsaPXo0KleujDt37iA4OFiTyM2bNw/Hjx+Hu7s7hgwZgl9//RUqFQ/PxYrf8QcKxh5XMKaOiCE8zg5jJZ4oCFgfJMHOFOi+T40XbzjJYsVHoEwaPYmiCHNzc6xcuRJ9+vTRmnby5Ek0a9YMsiwXSZAZoqOj4e3tjTNnzuTpEeGTJ0/4UQvLkXsvCd5b1XC3EnCgkwSjYnwNDh+3zBAV53H79xOC359qdKwiYEMrbvTOcqagj9ksb8vbtGmD/v374/PPP+d3PrEy47VMCN0vQxKB31sXb3LFGMu9ujYC1rSUsPE6Yf55HoSUFY8sE6zJkycjLCwMP/74I9q3b8+9mViZMP64gjOPCJuDJTiac3LFmCEKqSri/xqKmBylYN8dTrJY0cu2YUloaCiOHTuGy5cvw9fXF3///XdRxMVYsVhxScHySwp+CpDQxIHbXTFmyGZ6i2hbSUCfgzKuc6N3VsRydAVp0KABTp8+jYoVK6Jp06bYvHlzYcfFWJGLfKBgzDEZH3mIGFaLkyvGDJ0kCvitlYQKxkCPv9R4yY3eWRHK8VXEzs4OBw4cQL9+/fDtt98WZkyMFbmEFELP/TIa2wtY1JSTK8ZKiwomAv5oq8K1ZGD4EZnbE7Mik+l4COHh4ahTp472zCoVli1bhpYtW+LKlSuFHhxjReGNQnhvf3qP2E3BEowlbnfFWGlSz0bA6pYSeh2Q4WOn4JP6/C5RVvgyTbBatmyZ6UJ9+/YtlGAYKw5ToxREJhIOdZHgzI3aGSuV3qsm4tOHhC9OKWjmKMDPkWuqWeHSSrC2bNmS4wUFQUCPHj0KPCDGitKuWwq+Oa9gfhMRzfiEy1ipNttHxLEEQu+DMmJ6CLAx5RsqVni0EqzQ0FCdGQRB0PvMWhCEIh9olLGCdOcFYVCEjE5VBHxSj5Mrxko7I1HAhtYSGm5RY+hhGX+04UFIWeHRSrDefTWOWq2Gu7s7tm/fDk9PzyINjLHCpFYIfQ/KMFMBawIliHySZaxMcCkn4JeWErrtk7H4ooIJ9bg9FiscWgmWq6ur1sSMGipnZ2edaYwZsulnFJxIJBzqLMGWHxMwVqZ0dRXxsSfh81MK/J0EfpE7KxR8VLEyZ98dBXPOKvi6sQh/J/4JMFYWzfUV0chWQK/9Mp695qEbWMHjqwsrU+69JAwIl9GusoDPG/Dhz1hZZSylvwj6aRrw/mEeH4sVPL7CsDJDVgj9w2UYicBabnfFWJlX1VLA6hYStsQTlv6X31fIClaWwzQoigJBEBAeHo74+HidhUNCQgo1OMYK0swYBYcTCOGdJNibcXLFGAN6VBUxti5hYqSCZo4ivOz43MAKRrbDNADAZ599plPGwzQwQ3LgroKvohXM9BbRwpkrbhlj/zO/iYjjDwi9DqgR3UMFS2NOslj+ZTlMA2OlQUJK+qPB1pUETG7IyRVjTJuJJCCstQSvLWqMOCJjQyseH4vlX5bDNDBm6GQlvVG7AGBdoARJ5JMmY0xXdUsBK1ukv68wyFnBh3V4fCyWP3w7z0q12WcVHLxHWB8kwZHfM8gYy8J71UR85CFiQqSCs4+5VyHLH60arPr16+d4QUEQcO7cuQIPiLGCcvi+gi+jFfzLS0SrSnwvwRjL3nd+Ik4kKui1X43oEBXKGfGNGcsbrQTr4sWLKF++PNq1awcLC4viiomxfHv2mjAwQkaAo4BpjTi5YozljKlKwMbWKjTcosYnkTJ+bq7KfiHG9NA6cj788ENs2rQJu3btQpcuXdCvXz906NABKhUfYMywjDku49lrYG1nbnfFGMsddysBi5pK+OCIjE5VFHRz45s0lntaR82PP/6I+/fv4/fff4dKpUL//v3h5OSEDz/8EEeOHCmuGBnLlf/EKVgfR/gxQIJreU6uGGO5N7yWgK6uAoYfkZGQwu2xWO7ppOWSJKFDhw749ddf8eDBA/zwww+4d+8egoOD4eLiguXLlxdHnIzlyK0XhI+OyehTXUC/6pxcMcbyRhAErGwuQRKAYfwqHZYHWdZ7mpmZoW/fvli8eDFGjx6Ne/fuYe/evUUVG2O5ohBhcIQMSyPgR38ex4Yxlj/2ZgJWtZCw+zbhp1h+lQ7LnUwTrMTERPzwww9o2rQpatSogSNHjuCbb77B0qVLizI+xnLsuwsKDt0nrAmUUMGEkyvGWP51dBExqo6IiZEKYp9yLRbLOa3W68+fP8fmzZvx22+/4eDBg6hWrRr69u2LNWvWoGbNmsUVI2PZOveY8H9RCj6tLyKoIjdIZYwVnPlNRBy4q2BAhBonuqpgLPENHMueVoLl6OgIIyMjdOvWDTt27ICvr69m2pMnT3QWtrGxKfwIGcvGKzWhf7gadayBrxpzcsUYK1jmKgHrg1Tw26bGl9EKZvvwKO8se1oJVmpqKlJTU7Fu3TqsX78+24X5Zc+sJJgcpSAuGTjTXQUTvrNkjBUCb3sBMxuLmBKloENlAc35pfEsG1oJ1urVq4srDsbyZN8dBYsvKljcVERdG06uGGOF5/P6InbdSh/E+FxPAVbGfM5hmdNKsAYPHlxccTCWa49SCUMOyWhbScCYunw3yRgrXJIo4NcgCfU3qzHmmIxfg3gQbpY5vioxg0REGHlExmsZWN1SgshDMjDGioBbeQFL/SWsiyNsuMZDN7DMaSVYoaGhiImJyfHCr169wuLFi7Fy5coCD4yxrPxyhbAlnrCiuYSKFpxcMcaKzoAaAnpVE/DRURm3X/DQDUw/rQTLzc0N/v7+8PLywuzZs3Ho0CGt3oNpaWm4fPkyfvvtNwwcOBBOTk5Yt24dGjVqVOSBs7LrWjJh3AkZQ2sKCKnKlbCMsaIlCAJ+8pdgYQQMjpCh8CjvTA+tq9O3336Lq1evonPnzlixYgWCgoJgb28PIyMjmJmZwczMDHXq1MGQIUOQnJyM9evXIyoqCt7e3sUVPytjZIUwKEKGgymwuCl3lWaMFQ8bUwFrWkoIv09YdIEfFTJdOi30KlWqhJkzZ2LmzJmIi4vD6dOncf/+faSmpsLGxga1atWCr68vzM3NiyNeVsYtuqjgxAPC4S4SynMPHsZYMWpdScS4uoQppxV0chFRy5rPSex/suwCUaNGDdSoUaOoYmEsS5efEaaeVjDeU0SAEz8aZIwVv9k+InbeVjDssIzDnSVIIidZLB1fpZhBkBXC0EMyqlgAs3z4sGWMlQwWRgJWt5Bw4gFh8UV+VMj+h69UzCAsuqggMpGwuqUEcxXfITLGSo7mziLGeYqYclrB5Wfc4J2lKxEJ1t69e+Ht7Y1GjRrB09MTa9asKe6QWAmS8WhwgqcIf340yBgrgWb7iKhsAQw9JENWOMliJSDBIiL069cPq1evRkxMDHbs2IGRI0fi+fPnxR0aKwHefjT4NT8aZIyVUOYqAatbSohMJCziR4UMJSDByvDs2TMAQHJyMmxtbWFiYlLMEbGSYCE/GmSMGYgAJxHjPUVM5UeFDNn0IgSA2NhYnD59Grdv38awYcPg5OSEuLg4ODo6onz58vkOQBAEbNy4ESEhIbCwsMDTp0+xZcsWGBsb53vdzLBd+ufR4Mf1+NEgY8wwzPIRsfOWgqGHZBzpwr0Ky7JME6yUlBQMHz4cGzduBJD+KK99+/ZwcnLC5MmTUbVqVXzzzTf5DkCtVmPOnDnYtm0b/P39ERUVhe7du+PChQuwsbHRu8yYMWNgZWWl+XdISAh69uyZ7baePn2a73hZ0ZAJGBhhjspmAj6p/hxvvVCgzOHjlhmisnzcLm4kodMhM8w69Qpjar4p7nBYDuX3mH03Z8k0wfr0009x8OBB7NixA82bN9eqrerYsSMWLlxYIAnW2bNnce/ePfj7+wMAfHx8ULFiRZw7dw5BQUF6l1myZAm8vLzytL3MkjZWssw/J+PMEwVHukioZM/fGR+3zBCV1eO2gw0w4bGM2f81Ra/a5VCbByA1GAV5zGb63GXTpk2YN28e2rdvD1NTU61pbm5uiI+PL5AAqlSpgjt37uDy5csAgLi4OFy7dg01a9YskPUzwxP7lDDtDD8aZIwZrq99RLhYAMO4V2GZlWkN1osXL+Ds7Kx32suXLwssAEdHRyxfvhyhoaEQRRFEhB9//BGVKlUqsG0wwyErhKGHZbiWA75uzMkVY8wwZfQqbL5dxsKLCj6tz+9OLWsyTbDq16+PzZs3o23btjrTdu7cicaNGxdYEH379kXfvn0LbH3McC24oOBUIuFoVwlm3GuQMWbA/J1EfFwvvbNOZxeRHxWWMZkmWNOmTUO3bt2QkpKC9957D4Ig4NSpU/jPf/6DVatWYdeuXUUZJysDYp8S/nVGwSf1RDRz5Norxpjh+7qxiB3/9Co8yr0Ky5RMr2KdOnXChg0bcPToUXTv3h1EhFGjRiEsLAzr169H69atizJOVsqpFcKQQzLcygFf8aNBxlgpYfbPo8KTiYTvLvAApGVJluNghYaGIjQ0FFeuXMGjR49gY2OD2rVrF1VsrAxZfFFB1EPCMX40yBgrZZo5ivikXnrnne5uItyt+BxXFuSoqqBmzZpo1qwZJ1esUNxITn80OLauiKb8aJAxVgrNbCyikjkw8ogMIu5VWBZo1WDNnDkzxwsKgoBp06YVeECsbCEifHhUhq0J9xpkjJVe5ioBywIktN0tY/UVwrBaXItV2mklWPPnz9eaqFar8fr16/QZVSqo1WoAgImJCYyMjDjBYvm2Po6w7y5hRzsJ5Y35hMMYK73aVBYxyF3BxEgZHasIcDLnc15pplVl8Pz5c81feHg4nJ2dsXz5cjx+/BhpaWl4/Pgxli1bBmdnZxw4cKC4YmalxMNXhAknZPSpLqCTC9deMcZKv+/8JBiJwPgTcnGHwgpZpo3cx4wZg08//RQjRozQlFWoUAEffPAB3rx5g9GjR+PUqVNFEiQrnT6JlKEAWOTHA/AxxsoGhF69igAAIABJREFUW1MBi5pK6B8uY2ANBZ1d+eaytMr0mz137hyqVaumd1r16tVx8eLFQguKlX57bytYF0f4zk+CI1eTM8bKkL7VBbSvLOCjYzKep3GD99Iq0wTLzc0Ny5Yt0+ntkPEqG1dX10IPjpVOL9+kN2xvXVHAYHdOrhhjZYsgCPgpQMKT18D/RfHYWKVVpo8I586di9DQULi7u6NLly5wcHBAYmIitm/fjps3b2LTpk1FGScrRf51RkHCK+CvjhIEgRMsxljZ41ZewKzGIj6JVNCvhsBD1JRCmSZY3bp1Q1RUFObOnYtt27bh/v37cHZ2hq+vLzZt2oSGDRsWZZyslDj9UMGiiwrm+IiowYPtMcbKsLF1Rfx2jTDiiIzoHgKMJT4nliZZjuTesGFDbNiwoahiYaXcGyX9RFLfBvikHt+tMcbKNkkUsKK5BO+tasw7p2CaF3f4KU34KseKzMILCs4/AVY2V0HFLzxljDE0sBXweQMRX8couPSMG7yXJpnWYLVq1SrbhQ8ePFigwbDSKy6JMP2Mgo89RXjbc3LFGGMZpjUS8ft1BR8ckRHRWYLIbVNLhUxrsMzNzWFhYaH19/r1a0RFReHq1asoV65cUcbJDFjG63CczIAZ3lxpyhhjbzNTCfi5uYQjCYQVl7hXYWmRaQ3Wjh079JYnJiaia9euGDhwYKEFxUqXNVcJB+4R9naQYGHEd2aMMfauoIoihtVU8PlJBV1cRFS04HOloct1dYKDgwO++OILTJ06tTDiYaXMgxTCJ5EyBtYQ0LYy114xxlhm5jeRYKYCxh7n1+iUBnm64imKgvv37xd0LKwU+iRShiQA3zXl3jGMMZYVG1MB3zeVsCWe8Ec8Pyo0dJk+IoyOjtYpS0tLQ2xsLGbMmAFfX99CDYwZvgN3Ffx2jfBLSwl2plzdzRhj2XmvmoBfrgoYd1xGm0oCN6swYJkmWI0bN9YZZTvjtTlNmjTBihUrCjcyZtBey4RRx2S0cBIwiF+HwxhjOSIIApY0k1B3kxozoxXMa8K1/4Yq0wQrPDxcp8zU1BSVK1dGpUqVCjUoZvjmn1NwPRnYEsyvw2GMsdyoZilgSkMRM6IVDHQX4WnD51BDlGmCVbVqVTg7O8PIyEhnmlqtxr179+Di4lKowTHDdD2ZMOusgon1RdTlEwNjjOXaZw3E/2/vzsOqLPP/gb/v57AKAiLgBoYgoKgECLilaVqpo2XScv1MzcZJnZE0NRP3fcstzczKcWmabDI1v9VoY6YVpQICbriloODGIoILKDzP/fuDiYn0qODZz/t1XV6X58B5zoeHG877fJ6b+8Ynv2r4288qfujDN6rWSO8k92bNmiE9Pf2uHzt48CCaNWtmtKLIekkpkfCLigaulYvnERFRzTnrBFZ1qlwba8MprvBujfS+Av423+pubt26BWdnZ6MURNZtS7bE9hyJFR255hUR0cN4oomCAcEC4/erKCxjyLI21S4RHj9+HJmZmVW39+zZg9zc3GoPKCsrw8aNGxEUFGSaCslqXLstMXqvimceEXjmEXaviIge1pL2OrTYVIGJKSo+7Kx3Vg9ZoGrfrX/961+YOXMmgMq/ZEhMTLzrg7y8vLBu3TrjV0dWZUaahqJbwAqueUVEZBAN6wjMjVGQ8IuGV0M1dGjAN6/WolrAeuONNzBkyBBIKREUFIQtW7YgKiqq2gOcnJzQsGFDTrijag4VSiw/omFujIJH6nJsEBEZyoiWCtaflPhrkorU5wQcFP6OtQbVApanpyc8PT0BAFlZWWjUqBGcnJzMUhhZD+2/mzmHeQJj2vDdFRGRIekUgfcfUxD3pYp3j2oY04ZXCaxBtYB15coVeHl5QVEU1K1bF9evX7/ng729vY1aHFmHtSck9uZJ7Omjg5OO76yIiAwtxlfBX8Mlph3Q8EIzBf7u/F1r6aoFLF9fX+zduxdxcXHw8fG572VAVeWGlPauoExiQrKKwSECjzdi94qIyFjmxijYnKVhzD4Vm3pwwrulq/YdWrt2LYKDg6v+z3lWdD8T9quQqNwFnoiIjMfLWWBJex0G7laxI0dDzwC+qbVk1QLWK6+8UvX/IUOGmLoWsjI/X9Kw9qTE6scU+LkyjBMRGduAYIG1JwQSflFxOF7A1YG/ey0V4y/VSrlWObG9nZ/Aay04jIiITEEIgfc66XDuOrDgoGbucugeqnWwnnnmmQd+oBAC27ZtM3hBZB2WH9GQeRVI7aeDwkvJREQm08JL4K0IBQsyNLwcrCDUi7+DLVG1gFVSUsJ5V3RfudclZhzQ8HorBVE+HC9ERKY2OUrBp6c1JPyi4tte3AzaElULWHv27DFTGWRN3tyvwt0RmNWWlwaJiMzB1UFgRQcd+v5HxdZsif7NGLAsDV8hqUb2XNDwrzMSb8fp4OHEH2giInPp84iC3gECY/epuFnBzaAtzT0DVkFBAaZMmYIePXqgVatW6NGjB6ZMmYL8/HxT1UcWpEKTeP0XFR0bCAwMYbgiIjK3dzrocPEmsJAT3i2O3oC1f/9+hISEYMWKFXB3d0enTp3g7u6OFStWoHnz5ti/f7/Birh16xYSEhIQEhKCVq1aYeDAgQY7NhnOqkwNR4uAdztyYjsRkSUI8RQYF6Fg4UENZ0rYxbIkepeCHTlyJFq1aoVvvvmman9CACguLkavXr2QkJCAlJQUgxSRmJgIRVFw8uRJCCFw8eJFgxyXDOfyTYmpqRqGt1QQzYntREQWY3Kkgn+c0jB2n4ovn+IK75ZC73fi6NGj2LRpU7VwBVRuCJ2YmIiXXnrJIAXcuHED69atQ25ubtVfQTRq1MggxybDmZiiwkEB5sRw2h4RkSVxcxRY0k6Hl77nCu+WRO93oXnz5rh69epdP1ZcXIygoCCDFHD69GnUr18fc+bMQUxMDDp37oxdu3YZ5NhkGPvzNKw7KTE3RkF9F3aviIgszQtBAt0aCYz6RcUtlZcKLYHeDtaiRYswcuRIBAQE4PHHH6+6f8+ePZgxYwZWrlxpkALKy8tx5swZhIeHY8GCBTh48CB69OiBzMxM+Pr63vUxCQkJ1Tpr/fv3R3x8/H2fq6ioyCA12xNNAiN+rIMILyC+wTVcuWLuiuwPxy1ZI45b05vdSsHju+pgXvINjA67be5yrM7Djllvb+9qt4WU8q5Rt02bNrh48SKKiorg6ekJX19f5Ofno7i4GPXq1UPjxo3/dxAhcPDgwVoVVFBQgAYNGuD27dvQ6So3DI6Li8Pbb7+Nrl27VvvctLQ0tG3bFgcOHEB0dHSNn+vKlSt3nAC6tzXHNbz2k4qfn9GhYwO2nc2B45asEcetebyxV8Wa4xpOvOiAJm684lAThh6zejtYbdu2NcnKsD4+PujevTu+/fZb9O7dG2fPnkVWVhbCwsKM/tx0b0W3JCamqBgcIhiuiIiswIxoBRtPaxi/X8WnT3DCuznpPfvr1683WRGrV6/Gn//8Z0yYMAE6nQ4ffvghJ7pbgGmpGm6pwMI4nblLISKiB+DlLLAgVoc//6hiREsNXRrxzbG5WES8DQoK4jY9FuZgocSqYxoWxSloWIdtZiIia/FKqMAHxwUSflGR9pyAg8Lf4eZwz4C1b98+bNq0CTk5OSgrK6v2MSEEtm3bZtTiyDykrFyxPcwTeL013/0QEVkTRQis7Kgg7ksV72dqeL01r0KYg96AtXz5cowZMwZ+fn4IDg6Gk5OTKesiM9p4WuKnSxI7e+vgyHc+RERWJ8ZXwV9aaJh2QMNLwQr8XPm73NT0BqzFixcjISEB77zzDhSFXQx7ce22xJv7VTzfTKBHE37fiYis1bxYHb7IqsCkFBVruljEjCC7ovcV9ObNm3j22WcZruzMnHQNV28BS9qzpUxEZM18XARmt1Ww9oREch43gzY1venpxRdfxPbt201ZC5nZiasSy45omBSpoKk728lERNZueEsFEd5Awi8atLsve0lGordn+M4772Do0KEYMGAAevToAS8vrzs+p3///kYtjkxrzD4V/m7AmxHsWhIR2QIHReDdjjp0+VrFx6ckhoTyzbOp6A1YmZmZSEpKwrlz5/DZZ5/d8XEhBFRVNWpxZDr/Pqdhe47Elh46uDjwB5CIyFZ0bqTgpSANE5NVxAcK1HXi73hT0Buwhg4dCg8PD3z11VcIDQ3lXxHasHJNYuw+Fd0aCfQL5A8eEZGtebudDmGfV2Behob5XDzaJPQGrOPHj2PLli3o2bOnKeshM3jvqIZTJcDn3XUm2R6JiIhMq6m7wPgIBQsPanithYIgD/6uNza9k20iIiKQl5dnylrIDArKJGamaXgtTEFEff7AERHZqgmPKvB1Bcbv5/QeU9AbsFatWoVly5Zh586dqKioMGVNZELTUjVIALNjOLGdiMiWuTkKLIzTYUu2xJ4LXLbB2PReInz88cdRXl6Onj17QlEUuLq6Vvu4EALFxcVGL5CM5/AViQ+Oa1jcToEvV/klIrJ5A4IFVh4VGL23cp9CHXfrMBq9AWvcuHGcj2PDpJR4Y6+K5h7AyHB2r4iI7IEQAss7KGi3TcWaExqGt+SEd2PRG7BmzJhhwjLI1Ladlfj+gsTXT+vgpGOQJiKyF3F+CgY11zAlVcNLQQq8nPkaYAw1bl0UFhbi/fffx2OPPWaMesgEbqmV+w0+7S/QO4A/WERE9mZ+nA43K4DZ6ZyLZSwPFLBKS0uxceNG9OnTB40bN8bIkSNRXl5u7NrISJYf0ZB9DVjanssyEBHZoyZuApMiFaw4ouHkVW6hYwx6A5aqqti+fTsGDhwIPz8/vPzyy9i+fTsGDRqEo0ePYv/+/aaskwzk8k2JOeka/hauILwewxURkb0a20ZBEzdgHJdtMIo7AtbevXuRkJCAxo0bo0+fPti+fTsGDBiAL7/8ElJKDB48GC1btjRHrWQAk1NVOCrAjGhObCcismeuDgKL2unw9TmJ/+TyUqGhVZvkHhwcjOzsbLi4uKBPnz4YMGAAevfuDUdHRy7JYAPSCiTWnpB4t6MCbxd2r4iI7N3zzQQ6NxQYs1dFRryAI5dtMJhqbYysrCxIKREXF4fnnnsOTz31FBwdHc1VGxmQlBKjf1ERXg8Y3pLdKyIi+m3ZBh2OXQVWZ7KLZUjVXmkPHTqECRMmICsrCwMGDICfnx8GDhyIf//735zUbuU2nZFIuiyxrL0ODnyHQkRE/xXlIzA0TGB6mobCMk54N5RqAat169aYP38+srOzsWfPHrz88svYsWMH+vbti9DQUAghcPLkSXPVSrVUWiExPllF36YCT/qze0VERNXNidGhQgNmHGAXy1D0vtp26dIFq1evxqVLl7B161Y89dRTcHFxwfDhwxEUFMSFSK3IkkMaLt4ElrTnir1ERHSnBnUEpkYpeP+YhqNX2MUyhPu2MxwcHPDMM8/gs88+Q15eHtatW4fQ0FDMmzfPFPXRQ7pwQ2L+QQ2jWikI8eSlQSIiurtRrRU0q8tlGwylRteL3NzcMHjwYOzYsQPnz583Vk1kQFNTVbjqgClRvDRIRET6OesE3o7T4dtciR05vFT4sGr9quvr62vIOsgIMgol1p2UmNmWe00REdH99QsU6NJQ4M39Kio0Xip8GGxr2CgpJcbtUxHqCQzjsgxERPQAhBBY0l7B0SJg7QkGrIfBV14b9c05ie8vSCxup+PCcURE9MBifBUMai4w9YCKktsMWbXFgGWDyrXKZRmeaCzwp6YMV0REVDNzY3UouQ0sPMi5WLXFgGWDPjym4cTVymUZhGDAIiKimglwF3gzQsHSwxrOXWcXqzbuGbAKCgqQmJiI7t27IzQ0FEePHgUALF++HPv27TNJgVQzV29JTD+g4dVQgcj6DFdERFQ7Ex5V4OUETErhsg21oTdgpaWlISQkBJ9++ikaNmyI06dP49atWwCA8+fPY9myZSYrkh7cvAwNpSowO4aLihIRUe25OwrMjtHhn79KJOfxUmFN6Q1YY8aMQYcOHXD69Gls2LABUv6vRdiuXTt2sCxQVonE8iMaJjyqoLEbu1dERPRwXg0VaOMNjNunVcsBdH96A1ZKSgpGjRoFR0fHO+bx+Pr6Ii8vz+jFUc0kpqjwcQHGteHUOiIieng6RWBJOx2SLktsyWbAqgm9r8Rubm4oKSm568fOnTuH+vXrG60oqrlfLmv4/IzEvFgd3BzZvSIiIsN40l9B7wCBCckqbqkMWQ9Kb8B6+umnMWfOHBQWFlbdJ4RAaWkpli9fjt69e5ukQLo/KSXG7tMQVR8YFMJwRUREhrWonQ7Z14D3jnIu1oPSG7AWLlyIkpIShISE4MUXX4QQAlOmTEF4eDgKCwsxZ84cU9ZJ9/CvMxL78ySWtNdB4bIMRERkYOH1BIa1UDA7XUNhGbtYD0JvwGrSpAkyMjLw+uuv4+LFiwgODkZhYSFefvllpKamws/Pz5R1kh5lFRKJySqefUSgW2POvSIiIuOY0VaBJoFZaexiPQiHe33Qy8sLM2fOxMyZM01VD9XQ8iMazt8A/tOLyzIQEZHx+LkKTIpUMCVVw8hwBaFevGJyLzVqeSQlJWHNmjU4ceKEUYqZOXMmhBA4cuSIUY5va/JKJeZmaPgbBzoREZnA6NYKmrgBbyVz8dH70RuwBgwYgFdffbXq9urVq9GlSxcMGzYMkZGR2LVrl0ELSUtLw759+9C0aVODHteWzTigQSeAadG8NEhERMbn4iCwIE6HbWcl9lzgpcJ70fvKnJSUhF69elXdnj9/Pv7yl7+gpKQEzz//vEEvG966dQsjR47EqlWruHfeA8oskvjwuIapUQrqu/CcERGRabwUJNDeT2DsPhUaFx/VS2/Ays/PR6NGjQAAR48eRU5ODkaPHg13d3e88sorOHz4sMGKmDZtGgYOHIhmzZoZ7Ji2bkKyikfcgZGt2L0iIiLTEUJgSXsF6YXAp78yYOmjd5J7/fr1cfbsWXTu3Bk7duxAo0aN0KpVKwCAqqrQNMO0Bvfu3YuUlBQsWLDggR+TkJAAT0/Pqtv9+/dHfHz8fR9XVFRUqxotTVK+Dl+fq4O/tyvFjeIK3DB3QWRUtjJuyb5w3Nq2Fo5A3yYumJis4QmvG3Cxgb+zetgx6+3tXe223oDVq1cvTJgwAQcPHsT69esxaNCgqo8dOXLEYN2mH374AcePH686Xm5uLp5++mmsWbOm2iXK31u5ciWio6Nr9Xx/PAHWRpMSs39QEecLvNqmLi+p2glrH7dknzhubduSThLhmyrwyQVPvPWoDSQsGHbM6g1Yixcvhqqq2LFjB3r37l1tztXWrVvRs2dPgxSQmJiIxMTEqtuBgYH4+uuv0bp1a4Mc39b867REaoHEj310DFdERGQ2IZ4CI1oqmJehYWgY5wP/kd6A5enpibVr1971Y0lJSUYriPS7pUpMSqlcVLRzI869IiIi85oWrWDDKQ1z0jUs62AbXSxDsbhX6ezsbHav9HjvqIacG8CCOA5iIiIyP19XgcRHFbyXqeF0CSe8/161DlabNm1qdNnp0KFDBi+I7q7olsScDA2vtVDQgouKEhGRhXijjYJVxzRMTlHxWfd7bhBjV6qdibZt23Jej4Wam67htgrM4KKiRERkQeo4CMxuq8Off1Qxto2GOD++TgF/CFjr1683Uxl0L9nXJN49qmFylIIGdRiAiYjIsgwOEVh2BHhzv4Yf+gg2a2CBc7DoTpNTVHg7A+Pa8NtFRESWR6cIvB2nw0+XJL46x7lYwD3+inDWrFn3ffC0adMMWgzdKTVfw6enJT7srIObI98REBGRZXraX6BHE4EJySp6Bwg4KPb9mqU3YC1atOiO+27evAkpJZydneHo6MiAZWRSSozfryHcC3g11L4HKhERWTYhKrtYbbdWYM1xDSPC7fsv3vVec7p27dod/0pLS/HVV18hNDQUP//8synrtEv/zpHYc1Hi7XY6u38nQEREli/KR2Bgc4HpaRqu3bbvS4U1mtTj5OSEP/3pTxg9ejRGjBhhrJoIQIUm8dZ+FV0bCfQOYLgiIiLrMCdWh+LbwOLDhtmz2FrVata0v78/MjIyDF0L/c76kxKZV4HF7bglDhERWY+m7gKjWylYfEjDhRv228WqccDKysrCwoULERwcbIx6CMCNcolpB1QMCBZo68twRURE1mVipAJXHTD9gGruUsxG7yT3unXr3tE5KS8vx+3bt1GnTh1s2bLF6MXZq6WHNRSWAXNj7XuCIBERWScvZ4Gp0QrG7tPwRmuJVt721yzQG7DGjRt3R8BycXGBv78/evXqBW9vb6MXZ48u35R4+5CG11spCKxrfwOSiIhsw19bKlhxRMOEZBVf97S/LXT0fsUzZswwYRn0mxlpGhwVYHIUFxUlIiLr5aQTmB+rw0vfq9h9QUO3xvb1unbHV3v06FGMGjUKffv2xYgRI/Ddd9+Zoy67dPKqxEfHNUyKVFDPmd0rIiKybi8ECcT5Cry1X4OU9jXhvVrASkpKQnR0NN577z0kJyfj73//O55++mmsXr3aXPXZlUmpKpq4AQnh9pXyiYjINgkhsDBOQWqBxKYzdhywZsyYgfDwcGRnZ+Py5csoLCxEv379MGXKFHPVZzf2XdawOUtidlsdXBzYvSIiItvQtbGC3gECk1JVlGv2E7KqBaxDhw5h6tSpCAgIAAB4eHhgyZIluHLlCnJycsxSoD2QUmJCsoY23sDLzRmuiIjItsyP1eFMCfDhMftZfLRawCooKIC/v3+1T/gtbBUUFJiuKjvz7xyJHy9JLIzTQcctcYiIyMZE1BcYHCIwK91+ttC5Y7IPVw03LVWTSEyu3BKnpz/PPRER2aZZMZVb6Cy1ky107limoVu3blCUOydZd+7cudr9QggUFxcbtzo78I9fJY4UAfufVRhuiYjIZjV1F0gIV7DokIYRLRU0qGPbr3nVAtb06dPNVYddKq2QmJqq4oVmAnF+/MtBIiKybZMiFaw5oWF2uoaVnWx7txIGLDNaeVTDpZvcEoeIiOyDt4vAxEcVTEnVMLq1ghBP2+1isW1iJkW3JOZlaBjW0rYHGBER0e+Naq2gQR1gSqptbwTNgGUmCzI0lGvAVG6JQ0REdsTVQWBWWx0+PyORkm+7E9756m4GOdcllh/VMC5CQUMbn+RHRET0R4NDBMK9gAk2vIUOA5YZTD+gwsMReLMNTz8REdkfB0VgQZwOuy9KfJvLgEUGcOSKxIZTEtOiFdR1YveKiIjsU5+mAo81EJiQrEK1wS10GLBMbGKKimZ1gWEteOqJiMh+CSHwdjsFh64An55mwKKH8ONFDV+fk5gbo4OTjt0rIiKybx0aKHguUGBKqoqyCtsKWQxYJvLbhs4xPgIvBDFcERERAZUbQZ+/AazKtK2/KGTAMpGt2RL78iQWxilQuCUOERERACDMS2BomIK5GRqu3rKdLhYDlglUaBITU1Q87S/wRBOeciIiot+bHq2gtAJYeNB2ulh8tTeBtSckThYDC+K4JQ4REdEfNXYTGNtGwfIjGi7csI0uFgOWkd2skJiRpmJAsEBkfV4aJCIiupvxjypwdQBmptlGF4sBy8hWHNFQUAbMjmH3ioiISB9PJ4FJkQr+fkLDyavW38ViwDKiolsSCw9qGN5CQZAHu1dERET3MjJcQWMb2QiaAcuIftvQeQo3dCYiIrovFweBmW112JQlkWrlG0Hzld9Icq9LrDiqYWwbBQ24oTMREdEDGRQi0NILSExmwKK7mJmmwt0ReDOCp5iIiOhBOSgC82J12HVB4rvz1huyzP7qX1ZWhn79+iE0NBSRkZHo2bMnsrOzzV3WQzl+VWLtSYnJkQo8uKEzERFRjTz7iEB7P4HEZA2atM4J72YPWAAwbNgwnDhxAhkZGejTpw+GDRtm7pIeypRUFf5uwIiWFnF6iYiIrIoQAgviFBwokPjiDANWrbi4uKB3794Q/90+pn379jhz5oyZq6q95DwNm7MkZrXVwcWB3SsiIqLaeLyRgl4BlRtBl2vWF7LMHrD+aMWKFejbt6+5y6gVKSUSkzW0rgcMbM5wRURE9DDmx+rwawmw9oT1zcVyMHcBvzdv3jycOnUKq1evvufnJSQkwNPTs+p2//79ER8ff9/jFxUVPXSN97L7sg67L9bBPzvcRPFV61/DgyyDscctkTFw3JIhBAggPsAF01N1+FP9YtQxYmp52DHr7e1d7bbFBKzFixdjy5Yt+O6771CnTp17fu7KlSsRHR1dq+f54wkwFE1KzN1TgU4NBP5fK4+qS55EhmCscUtkTBy3ZAgLO0q02FSBTy54IjHSuLuiGHLMWsQlwqVLl2Ljxo3YuXMnvLy8zF1OrXx+RiK9EFgQpzBcERERGUiQh8DwFgoWHNRwpcx65mKZPWDl5uZi3LhxuHr1Krp164bIyEi0a9fO3GXVSLkmMSVVRZ+mAo81NPspJSIisilTohRUaMCCg9YzF8vslwj9/f0hrXSNi9+sOa7hTAmw9Ulu6ExERGRoDeoIjG2jYNEhDaNaKfB3t/wrRWy3PKQb5RKz0jQMbC7Qxtvyv+FERETW6M0IBe6OlTulWAMGrIf0zhENV24Bs2LYvSIiIjIWDyeByZEK1p6UOH7V8q98MWA9hMIyibcPavhruILAuuxeERERGdNfwxX4u1XumGLpGLAewvwMDRqASZE8jURERMbmrBOY1VaHzVkSyXmWPeGdyaCWcq5LrMzUMK6NAj9Xdq+IiIhMYWBzgVb1gIkpDFg2aVaairqOwLg2PIVERESmolME5sbo8P0Fie/OW27IYjqoheNXJdaelJgcqaCuE7tXREREpvTMIwLt/QQSkzWLXeqJAasWpqaq8HcDRrTk6SMiIjI1IQQWxCk4UCCxOYsByyak5mv4IktiRrQOLg7sXhEREZnD440U9PQXmJKqokKzvJDFgFVDk1I0tPScaNI9AAAPEUlEQVQCBoUwXBEREZnTvFgdThQDG04yYFm1789r2HleYm6MDg4KAxYREZE5RfkIvBQkMCNNRWmFZYUsBqwHJKXExBQNcb4C/QIZroiIiCzB7BgdLt4EVmVa1l8UMmA9oC+zJZLzJebHKhCCAYuIiMgShHgKDA1TMD9DQ/Fty+liMWA9AFWTmJyq4skmAk804SkjIiKyJNOiFdyoAJYcspwuFtPCA/jHrxLHrgLzYnm6iIiILE0TN4FRrRQsPazh8k3L6GIxMdzHLVVi+gEVzzcTiPHl6SIiIrJEEx5V4KAA8zIso4vFxHAfq49pOH8DmBOjM3cpREREpIe3i8BbEQreP6Yh+5r5u1gMWPdw7bbEnHQNQ0IFwrw4sZ2IiMiSjW6twNsZmH5ANXcpDFj3svSwhmvlwPRodq+IiIgsnZujwLRoBf84JXHkinm7WAxYeuSXSiw5rCEhXEGAO7tXRERE1uAvYQoC6wJTUs3bxWLA0mP+fyfJJUbyFBEREVkLJ53A7Bgdtp2V2HvZfBPemR7u4tx1ifcyNYyPUODjwu4VERGRNfl/wQIR3sDEFA1SmudSIQPWXcw8oMLTCXijNU8PERGRtVGEwNwYHX64KPGfXAYsi3CsSGL9KYnJUQrqOrF7RUREZI3+1FSgUwOBiSkqNDN0sRiw/mDqARUBbsCIljw1RERE1koIgfmxCtILgS/OMGCZVWq+hs1ZEjPa6uCsY/eKiIjImnVupKBXgMDUAyoqNNOGLAas35mUoiHcCxjUnOGKiIjIFsyN0eFkMbD+JAOWWXx/XsPO8xJzYnTQKQxYREREtiDKR+ClIIEZaSpKK0wXshiwAEgpMTFFQ5yvQL9AhisiIiJbMjtGh0s3gVWZplsXiwELwLazEsn5EvNiFQjBgEVERGRLQjwFhoYpmJ+hoeS2abpYdh+wVE1icoqK7o0Fujex+9NBRERkk6ZFK7hRASw5bJoult0nin/+KpF5FZgXa/engoiIyGY1cRNIaKVg6WEN+aXG72LZdaq4rUpMP6Cif6BAnJ9dnwoiIiKbl/ioAgXAvAzjd7HsOlV8eFzDuRvAnBiduUshIiIiI6vvIvBmhIJVmRrOXTduF8tuA9b1conZ6RoGhwi0rMeJ7URERPbgjdYKPJ2AGQdUoz6P3Qas5Uc0XL0FzIhm94qIiMhe1HUSmBylYMMpiWNFxuti2WXAulImseiQhhEtFTxSl90rIiIiezKipQJ/t8r9h43FLgPWwoMaKjRgcpRdfvlERER2zVknMLOtDpuzJFLzjTPh3e4SxoUbEiuOahjbRoGfK7tXRERE9mhQc4GWXpX7EBuDRQSsU6dOoWPHjggNDUVcXBwyMzON9lyz0zXUcQDGRVjEl05ERERmoFME5sTosPO8xO4Lhg9ZFpEyhg8fjmHDhuHkyZN46623MHToUKM8z5nrAmuOa5gYqcDTid0rIiIie/ZcoECsr8DEFA3SwPPdzR6w8vLykJaWhoEDBwIA4uPjkZWVhezsbIM/14JMZzSoA4wMN/uXTURERGYmhMC8WAX78yT+fcHBoMc27NFqIScnB40bN4aDQ2UpQgg0bdoU586dQ2BgoMGe51ChRMrpQixuUwrdRYHbBjsykXFpJSW4faPQ3GUQ1QjHLVmLLgBedVex9oALXm5dF4owzBUuswcsoDJU/Z68T58uISEBnp6eVbf79++P+Pj4ez7mfM4N/HRqGJRTEnm1L5XILMrMXQBRLXDckrWYBUCFgvwnVsHR3aNWx/D29q522+wBKyAgALm5uaioqICDgwOklMjJyUHTpk31PmblypWIjo6u0fP08vZGwetL4eFk9i+ZqEZKSkrg4VG7H3gic+G4JWtTcrsCPk0DDXY8s6cNPz8/REVF4ZNPPsGQIUOwefNmBAYGGvTy4G+Ueg3g9IeESWTplCtXOG7J6nDckrVRrlwx6PHMHrAA4IMPPsCQIUMwb948eHh4YMOGDeYuiYiIiKjWLCJghYWFYe/eveYug4iIiMgg7Gq9gs2bN5u7BKIa47gla8RxS9bG0GPWrgLWli1bzF0CUY1x3JI14rgla2PoMWtXAYuIiIjIFBiwiIiIiAzMIia5P6jS0lIAwLFjx2r1+OLiYqSlpRmyJCKj47gla8RxS9bGEGO2RYsWqFOnDgBAyPstm25B/vnPf1btWUhERERkSQ4cOFC1ELpVBayCggJ8++23CAwMhKurq7nLISIiIqpitR0sIiIiImvASe5EREREBsaARURERGRgdhGwTp06hY4dOyI0NBRxcXHIzMw0d0lEdxg1ahQCAwMhhMCRI0eq7s/Ly0PPnj0REhKC1q1bIykpyYxVEv1PWVkZ+vXrh9DQUERGRqJnz57Izs4GwHFLlu2pp55CREQEIiMj0blzZ2RkZAAw8LiVdqBbt25y3bp1UkopN23aJNu3b2/egoju4ocffpA5OTnykUcekYcPH666/9VXX5XTp0+XUkqZnJwsmzZtKsvLy81UJdH/lJaWym+++UZqmiallPLdd9+VTz75pJSS45YsW1FRUdX/t27dKqOioqSUhh23Nt/BysvLQ1paWtXyDvHx8cjKyqp6l0VkKbp06QJ/f/877v/8888xcuRIAEBsbCwaNGjAbgBZBBcXF/Tu3RtCCABA+/btcebMGQAct2TZvLy8qv5fXFwMRamMQ4Yct1a10Ght5OTkoHHjxnBwqPxShRBo2rQpzp07h8DAQPMWR3QfhYWF0DQNvr6+VfcFBgbi3LlzZqyK6O5WrFiBvn37ctySVRg8eDB2794NANixY4fBx63Nd7AAVL27+o3kyhRkRTh+yRrMmzcPp06dwty5cwFw3JLl+/jjj5GTk4M5c+Zg/PjxAAw7bm0+YAUEBCA3NxcVFRUAKk9WTk4OmjZtaubKiO6vfv36AID8/Pyq+86ePcvxSxZl8eLF2LJlC7Zv3446depw3JJVeeWVV6o6WYDhxq3NByw/Pz9ERUXhk08+AQBs3rwZgYGBvDxIVuOFF17Ae++9BwBISUnBpUuX8Nhjj5m5KqJKS5cuxcaNG7Fz585q81o4bslSlZSU4MKFC1W3t27divr168Pb29ug49YuVnI/ceIEhgwZgsLCQnh4eGDDhg1o1aqVucsiqmbkyJHYtm0bLl26BB8fH7i7u+PXX3/F5cuXMWjQIGRlZcHJyQmrVq3C448/bu5yiZCbm4uAgAAEBQWhbt26AABnZ2fs37+f45YsVk5ODuLj41FaWgpFUeDr64vFixcjMjLSoOPWLgIWERERkSnZ/CVCIiIiIlNjwCIiIiIyMAYsIiIiIgNjwCIiIiIyMAYsIiIiIgNjwCIiIiIyMAYsIiIiIgNjwCIikxFC3Pff+vXrkZ2dDSEEvvjiC3OXDACIjY3FihUrDHrMa9euwdvbGz///LNBj0tEloELjRKRyezbt6/a7Q4dOuD111/HgAEDqu4LDg6Gh4cH0tPTERoaCm9vb1OXWc2WLVswYsQInD17Fq6urgY99tSpU/HDDz/gxx9/NOhxicj8GLCIyGyEEFi0aBHefPNNc5eiV5cuXRAdHY133nnH4MfOyspCUFAQ0tLSEBUVZfDjE5H58BIhEVmcu10iDAwMREJCApYsWQJ/f3+4u7tj8ODBKCsrQ0ZGBjp16gQ3NzfExsbi8OHD1Y4npcTixYsRGhoKZ2dnBAUFYdmyZfet48yZM/jpp5/w/PPPV7u/a9eu6NOnDzZt2oSwsDC4u7vjiSeewOnTp6t93oIFC9C8eXO4uLjAz88PPXr0QFZWVtXHmzVrhrZt22LDhg21OU1EZMEczF0AEdGD2rZtGyIiIvDhhx/izJkzGDt2LJydnbFv3z6MHTsWDRo0wIQJE/DCCy8gMzMTilL5HnL06NFYs2YNJk+ejHbt2uGXX37BhAkT4OrqihEjRuh9vl27dsHR0RGxsbF3fCwjIwP5+flYsGABVFXFG2+8gYEDB2Lv3r0AgI8//hhTp07FrFmz0KFDBxQXF+Onn35CSUlJteN06tQJO3fuNOBZIiJLwIBFRFZDCIGtW7fCyckJALBnzx6sWbMG27dvR8+ePQEAmqahb9++OHz4MB599FGcPn0aK1euxOrVqzFs2DAAQI8ePXD9+nXMnDkTw4YNqwpif5SamlrV9fqjq1evIj09Hb6+vlW3X3vtNeTm5sLf3x/JycmIiIjAxIkTqx7z7LPP3nGcyMhIvPvuu7h27Rrq1q37cCeIiCwGLxESkdXo0qVLVbgCgNDQUCiKgieeeKLafQCQk5MDAPjuu+8AAPHx8aioqKj61717d1y6dKnq8+7m4sWLVQHqjyIjI6t9LDw8HACQm5sLAIiOjkZ6ejrGjh2LpKQklJeX3/U4Pj4+kFLi8uXL9/36ich6MGARkdXw8vKqdtvJyQmurq7VQtdv/y8rKwMAFBQUQEoJHx8fODo6Vv37reN1r4BVVlZ21+6Vvlp+/7xDhgzBsmXL8O2336Jz587w9fXF6NGjUVpaWu1xLi4uAHDH/URk3XiJkIhsmre3N4QQSEpKqhbEfhMWFnbPx2ZnZ9fqeRVFwejRozF69GicP38en332GRITE+Hj44OpU6dWfV5RUREAoH79+rV6HiKyTAxYRGTTunfvDgAoLCxE3759a/TYsLAw7N69+6FraNKkCcaNG4dPP/0Ux44dq/axrKwseHp6omHDhg/9PERkORiwiMimhYaGYuTIkRg0aBDGjx+Pdu3aoby8HCdPnsTu3bvx5Zdf6n1sp06dMGvWrKqJ6zUxfPhw1KtXD+3bt0e9evXw888/4+DBg/jb3/5W7fNSUlLQsWNHvRPticg6MWARkc1bsWIFwsLC8MEHH2DWrFlwc3NDWFgYXnzxxXs+rmvXrvDx8cH27dvx2muv1eg5O3bsiI8++ggfffQRbt68WbX21tChQ6s+5/bt29i1axeWLFlSq6+LiCwXV3InIrqHcePGIT09Hd9//73Bj/1///d/GDRoEM6fPw93d3eDH5+IzIcBi4joHi5duoTg4GAkJSUZfDubbt26oVu3bpg2bZpBj0tE5seL/kRE99CwYUOsX78e+fn5Bj3u9evX0bVrV4wZM8agxyUiy8AOFhEREZGBsYNFREREZGAMWEREREQG9v8BnzqONpmGRRQAAAAASUVORK5CYII="
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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"
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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"
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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",
"text/plain": [
"PyPlot.Figure(PyObject <Figure size 600x400 with 1 Axes>)"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# plot the resulting optimized controls\n",
"using Printf: @sprintf\n",
"ts = range(0, Tgate; length=51)\n",
"for ct in 1:4\n",
" opt_p = Optim.minimizer(opts[ct])\n",
" ax = plot()\n",
" plot!(ax, ts, [controls(t, opt_p)[1]/2π/1e-3 for t in ts], label=\"Ωx\")\n",
" plot!(ax, ts, [controls(t, opt_p)[2]/2π/1e-3 for t in ts], label=\"Ωy\")\n",
" xlabel!(ax, \"Time (ns)\")\n",
" ylabel!(ax, \"Pulse Amplitude (MHz)\")\n",
" title!(ax, @sprintf(\"%d Quadrature Controls with Error = %.3e\", ct, Optim.minimum(opts[ct])))\n",
" display(ax)\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Julia 1.4.0",
"language": "julia",
"name": "julia-1.4"
},
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
"version": "1.4.0"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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