{ "cells": [ { "cell_type": "markdown", "source": [ "# River discharge" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "In this tutorial we will simulate a fictitious radioactive tracer that is injected into the ocean by the 200 largest rivers (by estimated discharge).\n", "The 200 major rivers dataset from [*Dai and Trenberth* (2002)](https://rda.ucar.edu/datasets/ds551.0/) is available from within the AIBECS.\n", "Once \"born\", our ficitious tracer decays with a parameter timescale $\\tau$ as it flows through ocean basins.\n", "\n", "The 3D tracer equation is:\n", "\n", "$$\\left[\\frac{\\partial}{\\partial t} + \\nabla \\cdot (\\boldsymbol{u} + \\mathbf{K}\\nabla)\\right] x = s_\\mathsf{rivers} - x / \\tau$$\n", "\n", "where $\\nabla \\cdot \\left[ \\boldsymbol{u} - \\mathbf{K} \\nabla \\right]$ represents the ocean circulation transport.\n", "(Tracer transport operators are described in the documentation.)\n", "The riverine source of the tracer is $s_\\mathsf{rivers}$, and $x / \\tau$ is the decay rate." ], "metadata": {} }, { "cell_type": "markdown", "source": [ "In AIBECS, we must recast this equation in the generic form\n", "\n", "$$\\left[\\frac{\\partial}{\\partial t} + \\mathbf{T}(\\boldsymbol{p})\\right] \\boldsymbol{x} = \\boldsymbol{G}(\\boldsymbol{x},\\boldsymbol{p}).$$" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "We start by telling Julia that we want to use the AIBECS and the OCIM2 transport matrix for the ocean circulation." ], "metadata": {} }, { "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "┌ Warning: Over-writing registration of the datadep\n", "│ name = \"AIBECS-OCIM2_CTL_He\"\n", "└ @ DataDeps ~/.julia/packages/DataDeps/ae6dT/src/registration.jl:15\n", "┌ Info: You are about to use the OCIM2_CTL_He model.\n", "│ If you use it for research, please cite:\n", "│ \n", "│ - DeVries, T., & Holzer, M. (2019). Radiocarbon and helium isotope constraints on deep ocean ventilation and mantle‐³He sources. Journal of Geophysical Research: Oceans, 124, 3036–3057. https://doi.org/10.1029/2018JC014716\n", "│ \n", "│ You can find the corresponding BibTeX entries in the CITATION.bib file\n", "│ at the root of the AIBECS.jl package repository.\n", "└ (Look for the \"DeVries_Holzer_2019\" key.)\n" ] }, { "output_type": "execute_result", "data": { "text/plain": "(, sparse([1, 2, 10384, 10442, 10443, 20825, 20883, 1, 2, 3 … 200160, 197886, 199766, 199777, 199778, 199779, 199790, 200156, 200159, 200160], [1, 1, 1, 1, 1, 1, 1, 2, 2, 2 … 200159, 200160, 200160, 200160, 200160, 200160, 200160, 200160, 200160, 200160], [0.00019778421518954799, 2.3427916742722093e-9, -1.9599474163829085e-7, -0.00019161212648881556, 4.8096149072091506e-9, -1.830592653460076e-9, 5.007679174162751e-9, -5.025164843241415e-8, 0.00018753126417941492, 4.264266869682882e-8 … -2.196560075226544e-8, 1.0819937104262028e-10, 6.709812718407374e-9, -1.263521554746615e-9, -3.3927920410468295e-9, 7.593163378667893e-9, -7.410175543096161e-9, -3.441057669604186e-8, -2.0030251520181335e-8, 5.2794476107904204e-8], 200160, 200160))" }, "metadata": {}, "execution_count": 1 } ], "cell_type": "code", "source": [ "using AIBECS\n", "grd, T_OCIM2 = OCIM2.load()" ], "metadata": {}, "execution_count": 1 }, { "cell_type": "markdown", "source": [ "For the radioactive decay, we simply use" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "decay (generic function with 1 method)" }, "metadata": {}, "execution_count": 2 } ], "cell_type": "code", "source": [ "function decay(x, p)\n", " @unpack τ = p\n", " return x / τ\n", "end" ], "metadata": {}, "execution_count": 2 }, { "cell_type": "markdown", "source": [ "To build the river sources, we will load the geographic locations and discharge (in m³ s⁻¹) from the [*Dai and Trenberth* (2017) dataset](https://rda.ucar.edu/datasets/ds551.0/index.html#!description)." ], "metadata": {} }, { "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "┌ Info: You are about to use the Dai and Trenberth river discharge dataset.\n", "│ If you use it for research, please cite:\n", "│ \n", "│ - For the dataset itself: Dai, A. 2017. Dai and Trenberth Global River Flow and Continental Discharge Dataset. Research Data Archive at the National Center for Atmospheric Research, Computational and Information Systems Laboratory. https://doi.org/10.5065/D6V69H1T.\n", "│ - For the formal publication that describe the dataset: Dai, A., and K. E. Trenberth, 2002: Estimates of freshwater discharge from continents: Latitudinal and seasonal variations. J. Hydrometeorol., 3, 660–687.\n", "│ - For descriptions of updates to the dataset:\n", "│ - Dai, A., T. Qian, K. E. Trenberth, and J. D Milliman, 2009: Changes in continental freshwater discharge from 1948-2004. J. Climate, 22, 2773–2791.\n", "│ - Dai, A., 2016: Historical and future changes in streamflow and continental runoff: A review, in Terrestrial Water Cycle and Climate Change: Natural and Human-Induced Impacts, Geophysical Monograph 221. Ed. Qiuhong Tang and Taikan Oki, AGU, John Wiley & Sons, 17–37 (DOI: 10.1002/9781118971772).\n", "│ \n", "│ \n", "│ You can find the corresponding BibTeX entries in the CITATION.bib file\n", "│ at the root of the AIBECS.jl package repository.\n", "└ (Look for the \"Dai_2017\", \"Dai_Trenberth_2002\", \"Dai_etal_2009\", and \"Dai_2016\" keys.)\n" ] }, { "output_type": "execute_result", "data": { "text/plain": "200-element Vector{AIBECS.Rivers.River{Quantity{Float64, 𝐋³ 𝐓⁻¹, Unitful.FreeUnits{(m³, s⁻¹), 𝐋³ 𝐓⁻¹, nothing}}}}:\n Amazon (-2.0, -55.5) 210472 m³ s⁻¹\n Congo (-4.3, 15.3) 41448 m³ s⁻¹\n Orinoco (8.1, -63.6) 35776 m³ s⁻¹\n Changjiang (30.8, 117.6) 29914 m³ s⁻¹\n Brahmaputra (25.2, 89.7) 19900 m³ s⁻¹\n Mississippi (32.3, -90.9) 19330 m³ s⁻¹\n Yenisey (67.4, 86.5) 18981 m³ s⁻¹\n Paraná (-32.7, -60.7) 17999 m³ s⁻¹\n Lena (70.7, 127.4) 16826 m³ s⁻¹\n Mekong (15.1, 105.8) 16636 m³ s⁻¹\n ⋮\n Guadalquivir (37.5, -6.0) 105 m³ s⁻¹\n Yaqui (29.2, -109.5) 105 m³ s⁻¹\n Colorado-TX (29.3, -96.1) 82 m³ s⁻¹\n Rio Grande (25.9, -97.4) 48 m³ s⁻¹\n de Grey (-20.3, 119.2) 44 m³ s⁻¹\n Gascoyne (-24.8, 113.8) 22 m³ s⁻¹\n Avon (-31.8, 116.1) 22 m³ s⁻¹\n Fortescue (-21.3, 116.2) 10 m³ s⁻¹\n Murchison (-27.9, 114.5) 6 m³ s⁻¹" }, "metadata": {}, "execution_count": 3 } ], "cell_type": "code", "source": [ "RIVERS = Rivers.load()" ], "metadata": {}, "execution_count": 3 }, { "cell_type": "markdown", "source": [ "This is an array of rivers, for which the type `River{T}` contains the river's name, lat–lon coordinates, and discharge in m³ s⁻¹.\n", "For example, the first river is the Amazon" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "Amazon (-2.0, -55.5) 210472 m³ s⁻¹" }, "metadata": {}, "execution_count": 4 } ], "cell_type": "code", "source": [ "r = RIVERS[1]" ], "metadata": {}, "execution_count": 4 }, { "cell_type": "markdown", "source": [ "We can check the locations with" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "Plot{Plots.GRBackend() n=1}", "image/png": 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"\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ] }, "metadata": {}, "execution_count": 5 } ], "cell_type": "code", "source": [ "using Plots\n", "scatter([r.lon for r in RIVERS], [r.lat for r in RIVERS],\n", " zcolor=log10.(uconvert.(NoUnits, [r.VFR for r in RIVERS] / u\"m^3/s\")),\n", " colorbartitle=\"log₁₀(discharge / (1 m³ s⁻¹))\")" ], "metadata": {}, "execution_count": 5 }, { "cell_type": "markdown", "source": [ "We can regrid these into the OCIM2 grid and return the corresponding vector with" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "200160-element Vector{Quantity{Float64, 𝐋³ 𝐓⁻¹, Unitful.FreeUnits{(m³, s⁻¹), 𝐋³ 𝐓⁻¹, nothing}}}:\n 0.0 m³ s⁻¹\n 0.0 m³ s⁻¹\n 0.0 m³ s⁻¹\n 0.0 m³ s⁻¹\n 0.0 m³ s⁻¹\n 0.0 m³ s⁻¹\n 0.0 m³ s⁻¹\n 0.0 m³ s⁻¹\n 0.0 m³ s⁻¹\n 0.0 m³ s⁻¹\n ⋮\n 0.0 m³ s⁻¹\n 0.0 m³ s⁻¹\n 0.0 m³ s⁻¹\n 0.0 m³ s⁻¹\n 0.0 m³ s⁻¹\n 0.0 m³ s⁻¹\n 0.0 m³ s⁻¹\n 0.0 m³ s⁻¹\n 0.0 m³ s⁻¹" }, "metadata": {}, "execution_count": 6 } ], "cell_type": "code", "source": [ "rivers = regrid(RIVERS, grd)" ], "metadata": {}, "execution_count": 6 }, { "cell_type": "markdown", "source": [ "(Note this regridding uses [NearestNeighbors.jl](https://github.com/KristofferC/NearestNeighbors.jl) to assign a wet box as the mouth of each river, which sometimes is not exactly the real location of the river mouth.)" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "We control the global magnitude of the river discharge, $\\sigma$ (in mol s⁻¹), by making it a parameter of our model.\n", "For that, we separate the river source\n", "\n", "$$s_\\mathsf{rivers} = \\sigma s_0$$\n", "\n", "into global magnitude ($\\sigma$) and spatial pattern ($s_0$).\n", "\n", "Since $\\int s_0 \\mathrm{d}V = 1$, `s_0` can be computed by normalizing `rivers`.\n", "In Julia/AIBECS, this can be done by dividing `rivers` by the dot product `v ⋅ rivers` (or `v'rivers` in matrix form).\n", "(`v ⋅ x` is the discrete equivalent of the volume integral $\\int x \\mathrm{d}V$.)" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "s_rivers (generic function with 1 method)" }, "metadata": {}, "execution_count": 7 } ], "cell_type": "code", "source": [ "v = vector_of_volumes(grd)\n", "s_0 = rivers / (v'rivers)\n", "function s_rivers(p)\n", " @unpack σ = p\n", " return σ * ustrip.(s_0) # we must remove the units in AIBECS here :(\n", "end" ], "metadata": {}, "execution_count": 7 }, { "cell_type": "markdown", "source": [ "We then write the generic $\\boldsymbol{G}$ function, which is" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "G_radiorivers (generic function with 1 method)" }, "metadata": {}, "execution_count": 8 } ], "cell_type": "code", "source": [ "G_radiorivers(x,p) = s_rivers(p) - decay(x,p)" ], "metadata": {}, "execution_count": 8 }, { "cell_type": "markdown", "source": [ "##### Parameters" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "We specify some initial values for the parameters and also include units." ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "initial_value (generic function with 29 methods)" }, "metadata": {}, "execution_count": 9 } ], "cell_type": "code", "source": [ "import AIBECS: @units, units\n", "import AIBECS: @initial_value, initial_value\n", "@initial_value @units struct RadioRiversParameters{U} <: AbstractParameters{U}\n", " τ::U | 5.0 | u\"yr\"\n", " σ::U | 1.0 | u\"Gmol/yr\"\n", "end" ], "metadata": {}, "execution_count": 9 }, { "cell_type": "markdown", "source": [ "Finally, thanks to the initial values we provided, we can instantiate the parameter vector succinctly as" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": " Row │ Symbol Value Initial value Unit\n │ Symbol Float64 Float64 FreeUnit…\n─────┼───────────────────────────────────────────\n 1 │ τ 5.0 5.0 yr\n 2 │ σ 1.0 1.0 Gmol yr⁻¹" }, "metadata": {}, "execution_count": 10 } ], "cell_type": "code", "source": [ "p = RadioRiversParameters()" ], "metadata": {}, "execution_count": 10 }, { "cell_type": "markdown", "source": [ "We generate the state function `F` that gives the tendencies," ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "(::SciMLBase.ODEFunction{false, SciMLBase.FullSpecialize, AIBECS.var\"#f#58\"{Tuple{AIBECS.var\"#49#50\"{SparseMatrixCSC{Float64, Int64}}}, Vector{Int64}, AIBECS.var\"#G#56\"{Tuple{typeof(Main.var\"##377\".G_radiorivers)}, AIBECS.var\"#tracers#54\"{Int64, Int64}}, AIBECS.var\"#tracer#55\"{Int64, Int64}}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, AIBECS.var\"#jac#63\"{AIBECS.var\"#T#60\"{Tuple{AIBECS.var\"#49#50\"{SparseMatrixCSC{Float64, Int64}}}, Int64, Vector{Int64}}, AIBECS.var\"#∇ₓG#59\"{Tuple{typeof(Main.var\"##377\".G_radiorivers)}, Int64, Int64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing}) (generic function with 1 method)" }, "metadata": {}, "execution_count": 11 } ], "cell_type": "code", "source": [ "F = AIBECSFunction(T_OCIM2, G_radiorivers)" ], "metadata": {}, "execution_count": 11 }, { "cell_type": "markdown", "source": [ "generate the steady-state problem `prob`," ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "\u001b[36mSteadyStateProblem\u001b[0m with uType \u001b[36mVector{Float64}\u001b[0m. In-place: \u001b[36mfalse\u001b[0m\nu0: 200160-element Vector{Float64}:\n 1.0\n 1.0\n 1.0\n 1.0\n 1.0\n 1.0\n 1.0\n 1.0\n 1.0\n 1.0\n ⋮\n 1.0\n 1.0\n 1.0\n 1.0\n 1.0\n 1.0\n 1.0\n 1.0\n 1.0" }, "metadata": {}, "execution_count": 12 } ], "cell_type": "code", "source": [ "nb = sum(iswet(grd))\n", "x = ones(nb) # initial guess\n", "prob = SteadyStateProblem(F, x, p)" ], "metadata": {}, "execution_count": 12 }, { "cell_type": "markdown", "source": [ "and solve it" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "200160-element Vector{Quantity{Float64, 𝐍 𝐋⁻³, Unitful.FreeUnits{(m⁻³, mol), 𝐍 𝐋⁻³, nothing}}}:\n -3.597832067855361e-12 mol m⁻³\n -5.353871365614832e-12 mol m⁻³\n -6.4834851941454704e-12 mol m⁻³\n -7.823908119438312e-12 mol m⁻³\n -9.79044237114253e-12 mol m⁻³\n -9.770934123554808e-12 mol m⁻³\n -2.4448173185331663e-11 mol m⁻³\n -6.738392003832571e-11 mol m⁻³\n -6.51083745081848e-11 mol m⁻³\n -7.890402312090086e-11 mol m⁻³\n ⋮\n -3.876074162661911e-13 mol m⁻³\n -1.3409356343223646e-13 mol m⁻³\n -7.257906578905357e-13 mol m⁻³\n -6.182255119626855e-13 mol m⁻³\n -3.4001872611692876e-13 mol m⁻³\n 6.19239679441887e-13 mol m⁻³\n -5.257895087043751e-13 mol m⁻³\n -6.838780987222902e-13 mol m⁻³\n -4.278816669049942e-13 mol m⁻³" }, "metadata": {}, "execution_count": 13 } ], "cell_type": "code", "source": [ "sol = solve(prob, CTKAlg()).u * u\"mol/m^3\"" ], "metadata": {}, "execution_count": 13 }, { "cell_type": "markdown", "source": [ "Let's now run some visualizations using the plot recipes.\n", "Taking a horizontal slice of the 3D field at 200m gives" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "Plot{Plots.GRBackend() n=1}", "image/png": 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ff/99+paiKGPHjt28efPBgwfbtm1LCPn3v/+9c+fO+vXrE0Li4+M3btxo8ERUMMECAAAAgCFMWcHyM03DmTNnnnjiid27d7dr127t2rW33nrruHHjbDav+czs2bPnzJkza9asCxcutG/f/qeffurTp4/61htvvNGmTZvNmzfz9g8//PCMGTMMjr8UwTvBUmwWOVzbJ6+EsET+Mi2VY+Pcxnp2BtnOOZhp8Qw7P61mgR0WfbotydzGVF0cevlCqvMzdwMAdZ51exb6NqpkHpO0plxYicFKNeJKMqJWvsLFFG+tqP+AYFVx2BNsfeGHpawKCwsNH6n2IAlfiILkfBUFEvY7LHwyVa0vqn3xWGmN7hJo+YQLXDU5ltPEV+VkFhDJpWZQ7ME7K6CsWbOmc+fO7dq1I4QMGzbM5XLt2LGjb9++1ODcuXNbt279/PPPCSHx8fEjR4786quv1AlWRkbGsmXLfvjhhzfeeIPv8/z583v37m3evHlsbKxZ48QuQgAAAAAYQiaSh1iM//PnWCdPnqRhUhaLpUmTJqdOneINTp06FRYWlpSUpL5s2rQpNbj11lsXL14cFxdXqs8PP/xwypQpjRo1mj/ftP1ttWCuCgAAAIBgRlEkU2KwnE7nW2+9VfathISEa665RpVLSkp4h2BISEhxcTFvXFJSEhLCMkWHhoYWFRURQt5///3Y2NjRo0d7PF75VN977z11U/aBAwf69OnTr1+/YcOGGTwXEswTLDnU5qwfrsrOaLb+6QnR1kW9duvSz8orkbSe59rFmbp9brOmyjq1XxSAoGVt+lI/LdOS7ijnHZ/uwtJaReQW9GrmK/87Jwu8jeW6Z/zOyPDPYX3Rf8oqh4XdWFaplOci1P2tklepACox5bDIm7SDFnxU+ZHWEHZWQIKdCn+mfE4T+rHwLkJq4OKLOehCGHPlK1GBldgwLU2Dx+PZtWtX2beaNGlC5QYNGuzevZu+zM7OTklJ4Y0bNGjgcDhKSkrUKAVqsGDBgtTU1Dlz5iiKQghZsmTJjBkzevToQVPetG/ffvDgwT/99FMdn2ABAAAAoFagEMljeAXLo5Dw8PA333yzYrM+ffo8+uij6vwpPT09IyOjW7duvEHjxo0bN268ZcuWoUOHEkK+//77++67jxBy//33q9GNsiwTQmJjY/mFLlV/5MiR1NRUgyeiggkWAAAAAGoNPXv27Nq16/XXX3/dddctXbp06tSpiYmJhJB58+YdPHjwiy++sFqts2bNmjlz5oIFC7Zt23bx4sUJEyYQQu66S9su4PF4Hn744enTp7dt27aoqGjy5MmDBg0KDw//8ssvc3Jyrr/+elPGiQkWAAAAAAyhEEk2vG1O9ttv/s0337z88svffvvt9ddff/vtt6vKQYMG0Zyi9957b3Jy8vr16xs2bLht27awMC/Xp8Viefrpp9XEVyEhIQMHDvz9999LSkr69+//0UcflQ2BDwxJMV4Hvmro2C0tvtFAVfaECjIy8EVvhHFTtkLN62xxMf+0xLXa/P3cgIdXqV3oNUJNlVLxk8LCwrCwMIslePexolSOEXCDGAQ3iE+8aunQD4r7xCSLKCRI163LfV/wbnXhzw0yPOZmTQphMViSVV8W4c+O/x2XRaGBNGCLTxYVrs055LhINrBYTfnbrqcvXrxY8Vnw/Hn+2WO5RlNgFDo8t/XPrNRxgxmsYAEAAADAELJiSgxWkK74BAYmWAAAAAAwRDW7CGsFwTvBshZ7wrKLVFkOZeOUQ/SvkNuXSp2AFqebKiV9k+r6nY9V4UABAABUO+uLBckdvJKe09wEishZVo0M68Z+g2j+IE8E278mufWfsIIS1qyZVsNYKuSSPDn1tEPlVTWQtK4Up5PpLFyq9zJI3O+mPbe4AktQKYJ3ggUAAACAWoFsTpoGrGABAAAAAOgoJiUaNWUwQQImWAAAAAAwhEmlcrCCVT3IiuTUkvpLVm7nrbWinbeynXmaN+2YV3WjAwAAECTQICepPstgxEKLWOYCIkdqmRGG9l5IlRt+ftTI0Ts+8CKVbYWaYHWyg0pdYqns1rMOFTVgPYRla0JIPst84Q7TLH974z7/BzPEMkE7KBd3ZYnQ6s5J/AzGphlITi5Cq07NcGqYIJ5gAQAAAKA2IBPJY3gXoaduze8wwQIAAACAIWRCPIrRCCrZcA9BRfBOsBS71R2jreU647ntrHryBT6T+/ffPlSdYwMAABA8yGHabxlfq4Po+X3kcJYJ3R2pK21Gf8vbPaF5Bi0R3Ejoobi5Ah+bpOi/us44lmqoqJEm2/KYt47+2LV4+XnWPFxP6FDILMPOsGM1a99GszxzjnVFc8HztY2jNL+hJ5KVkVHsAa5CKcSCPFilCN4JFgAAAABqBSZlcpd9G9UegrfQFQAAAABALcXfFay8vLwvv/wyOzu7TZs2I0aMCAkJIYQUFhZ+9tln58+fHzp0aMeOHVVLp9P5n//8Jyws7Nprr7VarYSQVatWRUdHDxgwQDX4888/CwsLe/bsaf7ZAAAAAKDaUcwJcq9Tiz5+TbCOHj06YMCArl27XnLJJVu3bu3YsWOrVq1cLle/fv2Sk5M7d+48YMCAjz/+eMSIEYSQu+6669JLLz19+vT8+fMXL15MCJk+fXpOTs7+/ftbtWpFCPn8889PnDjxwQcfVHxQZ6z1YjvNQ8x7ZX97sxIbVgEA5jLUfp0uciEsFu2x6JVRxcY9Xux23YAFjqw9+3rVjBH84/BE2MsqZT2cyBXJLkt3uCbL3OXZc9oLqiBxHqpfPphV8UElLY8QsXLVZewOXShkP1y2YiZ77NqNU5zLRlWYog+1Hqtaw6K4Qj1UFxKlFcCp16yAKh3NWRDVCVuiKkSdqk+VF9tqXYXmsO5pRgkPa82dy5+kUihmhKj/E4Pcb7vttsmTJz/11FO88quvviopKVm1apXVam3duvXChQvVCdaRI0feeOMNt9s9cuRIatyjR48FCxZ89NFH5o4eAAAAADWOSWka6tQKlu+Tyc3N/e6776ZNm/bNN9+sWrWqoECbNW/YsCEtLU11Al599dU///zzxYsXCSHjxo0bNWrU1Vdffcstt9BO5s6du2rVqr1791bNWQAAAACgxlAUi2z4n2I4TD6o8L2Cdfz4cbvdPmnSpK5du6anp997770//fRTUlJSZmZmhw4dVJvExESbzZaZmRkXFzdz5sxx48bZ7fb69dn6ZEJCwn333ffoo49+/fXXfo7s3MFfxl7SKDY2lhBis9lmzJjRsGFDQkhJSYmvptWBy+WS5aDe71BSUhLC78gNMkpKSiRJsliC93YqKSmx2wV+hyDB3O/36sibBFrJ7+V6uveHX+EXNrcwZVrDu0o3J2TliRf8PagxxsXd4tuoDKsLPzZ9JEJwg1QOellxASWSnsBd8pQ292rCpVGQuUoh3W5j+dnpWoQ7lOlCdGVILjtq2AU94UIx9wPB5U93RWpeclsRc5dHntKPc5z9KFv0NA3uMGbpCdXu+otRLOd7cWv2sxjaWXNSZjdi2SOkSJd29Hqsf1uunsndzc76j1l3EkJyc3Pb/mcBAcbwPcFyu91Op3PmzJmTJ08mhFx11VUvvfTSU089JUmSol80iqIoiiLpz9OUlJSy/cyaNat169bbt2/3c2SSJMXExMTFaXUPgvlBAwAAAPyTkc0o1fyPK/asrhvRTX89e/bct28fISQlJSUrK0tVZmdnezwe4byKEhUVNXfu3Dlz5qSmpvozsqioqJkzZ7Zo0cIf4+rHYrHIshwaGurbtIZwOp3BPDyPxxMaGhrM82aXyxXMH2CQf78BE+QnVW3Dww0CagT1Ow3gmzWp2HPwXvAB4PtkGjZs2KVLF3VSRQjZt2+fuhlw2LBha9eu9Xg8hJDVq1f37t2brjaVx+23337y5Ml169YZHjYAAAAAggWZSB4z/tX0eZiJX7sIFy1adMstt+zZsyc9Pf2XX35ZtmwZIWTMmDHPPvvsiBEjOnfu/O67737yySc++wkNDX388cenTp1Kg7cAADXFUNt17AWNlxJXqpBEouhRyMWaKB4W+SLRlRi+f7cWF6K4XFQ3LOKmss03lPh+vPjJEOtE05tv9HxmpE9gnO82zlGFgYOfpkpaDMcZw5YSHE31hAUXWHN7gXZdWj3sArW4BLJs524A/QoNzWW5FWwFVObuBS59id2hGURkcv0Xa7eApcjJWoVpIW6u+HCqLErUYrAKE1mfcghbcCpO1iKrwuoXUmXJmQh9zGz8Rx70kYeiUijEjBWsurWL0K8J1siRI//3v/9t2LChQ4cOr7zyihp4brfbt27dqmYf/eGHHy655JLymr/99tvt2rVT5UmTJkVGRjZr1syU0QMAAADgH4jT6czOzm7QoIGVy65XiszMzPj4+PDw8PIMeLKysqKjoyMjI80aob+Z3Dt06FB22Sk8PPzGG2/02fbqq6+mstVqHT9+vP/jAwAAAECQY1ItQn97WLFixW233RYbG+tyuT777LPLL7+8lMHx48dHjx6dm5ubl5f3yCOPzJrltVw3ZcqUjz766ODBg23btiWEnDlzZvTo0adOnSooKJg5c+aiRYsMnogKij0DEOyktXqAveB8cETfhU64jCFr01/yt1+vNAqKQEllL2egJGgt7JMfqtut65SyBrw3kMi6zJ3UUNu1ooMFhuCkvD4IzrHjZ4+83xDuwprlu02ar9DhcFx1nVYqIMTBrqXok9pPuCeEfe2eUE328JeCzF7QVOz2AtZVSJ52rdrzmF+POvuIm3OR85e9R+9BeLPI/F2jWUoeQSJ4F8vSQBRuBcdSpJ1giZNL06Cf2PG77idVg0Ik2XAElZ895OfnT5s2beXKlampqW+99da0adP+/PNPyfuRdP/99w8aNOjFF188cuRI9+7dR44cST1pa9euPXfuHG/86KOPtm7deseOHadPn+7SpcuIESOuuOIKg+dCUOwZAAAAAAZRiORRLAb/+VkqZ9WqVc2aNVMzEkydOjUjI+O3337jDfLy8latWnX33XcTQlq3bj18+PDly5fTtx588MFXX32VGsuyvHz5ctU4JSVlwoQJ/sSU+wMmWAAAAAAwhEKITCTj//w51vHjx+lyVEhISPPmzY8fP84bnDx5UpIkmuapbdu21ODBBx+88847mzRpQo2zs7Pz8/Nph7yxQeAiBAAAAEBQ4Ha7N23aVFZfv379Ll26qHJeXh4ftx4VFZWbm8sb5+XlRUQwD2lkZKRq8L///W/fvn2vv/46H6uQl5dHCKEdUmPjYIIFQJCSOvQZVbA2jKdKaxHLaGAp1OtjFBRTZVrSHaqw9uzrZfscaudSM/B/LOppFCRxDJY43oqJ9GklCusihCg0oMorBksXvKpO6V1wRXWITNfa/Y2LKo9y/kBm3XIJK8qJJ6sQLh6LNdno+dzf8QHz2LLmobLK7tNfLKtURLvQJNFVyadp8IRpl6XFLfgllZzc9ePm+qIpS7jcDexa8zBLxa51q3D3gjAK3FbAZGuxfi9zkY37n7hP0MxUzApyLykpeeaZZ8q+1bhx4/fff1+Vk5KS/vrrL/rWhQsXkpOTeeOkpCSHw+HxeNQNhhcuXEhKSiKE3HXXXRMmTFixYoVa6W7dunV2u1196+LFi6pAjY2DCRYAAAAADKEQyc8IqgqQFSkyMnLjxo0Vm3Xs2HHJkiVqgb6cnJyjR49edtllvEHjxo1jY2N37drVq1cvQsjOnTvHjRtHCBk+fHhmZmZmZqa6grV9+/bu3bu3aNGiWbNmO3fuHDlypGrcuXNngyeiggkWAAAAAAwhE8ljOKrbzx4GDRoUExMzb968SZMmLV68eOjQoc2bNyeEvPLKKydOnFiyZEloaOgtt9yiBrNv27Ztz549K1asIIQsWbJEO5DH8/bbby9cuFBN03DnnXfOmzevUaNG+/fvX7du3XPPPWfwRFQwwQIgSEkfpuVxtueFUGVEFjOIP1ikCiEnmItQcZaQMg+qhEsAACAASURBVAwNuV4Xebcgl5Oaui0kS1kDsd9QmM+Ad6UJd6F7dUXfFYxK4t0NFpGHkUOcW0GoFP6NrQhkiW8vOmv/GWKdQGW4C2sWWb+ZvNyC+rdqYR54YuGSI1j1NA0h+VzyBf2qlO3sWlWitNtW8rCfV4lzEXI5FzjHtC4q3A3irKeNtSCZdZXXQjNwR7M+LZw70uLS5JijrP+BQ7QE9/aL7PkglWhnu+53E9I+KYo5K1j+mFkslm+//Xbu3LmTJ0/u0aPH0qVLVX29evWKirSn4qJFix5//PGbb745KSlp/fr18fHxfA+SJE2YMCE6Olp9ef/99zudTjWx1sqVK5s2bWrwRFQwwQIAAABAbaJly5affvppKeUNN9xA5dDQ0MWLFy9evFjY3GKxfPYZS1lntVrnz58/f/58cweJCRYAAAAADKH4vf5UAcZ7CCowwQIAAACAIUyJwfonFnsGAFQ/h298o6wy9c/RVHZ8lKIKCcdYsIVcoIUgcHFXRJj7gMVdES40ShyYJYrBEvRefgwWC7cq25oQca1WUVEgPthK4UNYRJVGaA9eB9Xr84iU5Q2R9q+Ul4jCb4ZYtHisjTKCsWqA3a9qCQs63cvyNXjCNMHiZpZ8YJNVj1ziq9ZIbkFkIQsd5BdjbOxek4isWzKlK0L7LS6qz4VbtdR6KGnHgiybJOeowtk8Viun6DSrTxyRod1NNtaIEBqvJfPj5xNRGKU6Y7BqC5hgAQAAAMAQiiLJhvNgGe8hqKhTJwMAAAAAEAxgBQuAmkfOauun5f8u/ZrKHVprSdvr7YmmSinnoqid5heQ7Ham4xNJU7+BlzNQlMmdy3Retv/yEfkIFYELTxH69SzUA8htd1cEXSmS0EUosJSEOeUJUWSBkh2U699XxoZynIm6Grkbqpq0hv/WJBv3SxehuQMTG8ZSXUFKqCo4Y7hE7aGskUw74O4FznEs8Ixb3FxCB86xSJ1gzlh2M+Y10w6Q14Zd4VEttHv5XynpVBmqezF3uVk1vSI7KwtD00/I3EnLoRb9Xe6u17PGpzW9h+rWpi8lAaH4XUmwAoz3EFRgggUAAAAAQ8iEeAxHUBnvIajABAsAAAAAhjApBgsTLAAAAAAAHbNqEZoymCABEywAaoa0BndSec2eQHpwxmshFMUpbMN2uFPL3UAKuV3abn33uZ275fl4LEUQ5CSMkeLe5SxlkYUo8slLSY/Fbx3Xu1WEzYUhXLzsO4tCxRkjyqmlI+zTR/2cQJI4ADMRfS9KiHYLeMJYchB3OH2bWcYdYTkbbAWaLPGXui575W6gB+WUcji77wqTtdiuggZsvSe/mWZsb1RAla3rnVOFenamvOjSwq1cMrdc5GJXrcWpCVanwillXeASUbh02cXCxYCJYIIFAAAAAEMoZoSoI8gdAAAAAIAhK5LxEHW4CAEAgTM8YYYqSKEhVNn1aS3hwt6X7ivb5Ld0Vtr9ul+mUzn+D91HwKVfd9fTcjpL0WFUKUzZ7JWnQPcRSLyzwKPLQheYzOduEHkAhanYeRck2/HOlAo18PAuSLn0u4SI80T49suZ5rnz5WsEppGWeLsm8an8XS5mQS8MzgkuhbBbjKFfVzYHax5+Xs9iwF3UodlFrFGk5k/3hDLHokW/rSwlrCtJv2vkcD4LA7sZz3fSx9+QOfGjYwpVIS6cKfOcWqttZ1tSZU6B5iIsymapGcKy2ahCHLrEXZcl8dpgvtu0kCrps8jrrgwUhSDRaGnq1MkAAAAAAAQDWMECAAAAgCFQi7AsmGABAAAAwBAIci9L7ZtgtX7uBVWwFrFv4uCjgsgVIWn1b6My9VCvO/emKWMDYGjoDdwr7RKVLMwXL+kxIkrjZKqMzNRiIIb8axFV0qIW5zqzyzv5FIuRCsvW4jas+SWCociCNAoSV76DiGKwWEIHvgf+oSfp5+KrUoxXgR0hNLKKH5XHrSsFMVjlxnhxRxWKAspJ+ICIqiBESamvCnw0oeTirlUaL8hfdSFa4JFiYyFKkp6nwJ7FikrZz+k/hVyfnsQYKhfV18O5uO5thfSyZEpJr1BTUo9FgOU35SrwJGgBWyEh7FglLq3VWRdLueJ2a8N2FXEZVQo0pS2PnZSVS8lCo5hcUT5uwHXn36rYoFJgBasstW+CBQAAAICgQjZjelTHJlgIcgcAAAAAMJnat4IVdk6b4bLcu5WCXyuGLwBULYLkBdQdZsk4S5Xb9z6hCsOiplClJULbhp1yjHMQcC4MxeUsqyR0azrv99L9Jkp5fj1hpnWa/YF3cTKZ+1tT92YSK7u/Sh1A+593XNJEDB7mIlSos1LmlCx9ts+blncRSt7/ew9ImOXBl85M8PwRMcQ6URWk7pdSZUG7eFUIzWEJEeRQdlk6o3VvWiT7smWbJnNuN2LV3ekyd6lKcmmBEOIJZbKiG9tY6gYSnk3fZb+k7nBtVIWJbHjF9blU7yHahe1xMwOP7g2UPWz8ikszkApY/zaHprSx7O5E4j3/+lBlK5fe3V3lV5s5LkLEYAEAAAAAUJAHqyyYYAEAAADAEAqRjK8/KXVrBatOzRYBAAAAUP0oCpEVyfg/Pw+3a9euK664on79+mlpaX///XdZg9zc3BtvvDEpKaljx45r1qxRlb/++mu/fv1SUlKaNGkyadKkrKwsVT979uweOkOGDDHlAyG1cQUr/qC+yTY/oALgYbxfXfs/rcGdVLc267VAhwYA8YoB0sN8FEUuq1wrSg4iFxYKZWH34iCeggKBkkUjlfP80mOnJD6ISs/IIHGleNiOd86S9cpFa/EFfIjouakIA7/YhybMo+AzNwR/APq/8KwVoci9KM/Az6FUwnSIZYIqbJQ/97/XOgM9fUKI9ZK2qnAqlWVJyG9Gn/bcb1YE9xNg1WKzQiOcVJcQo90LV6ccoMo2Ydpv6lURmVQZKmndHnWzGK9Zx8ZT+dDJBqpgOcuSL8g2mrKEiwaL1YV49q17orkoyRLtxlHcXFWfYr1WTzh7VthyNUt7HruAQy/o7xay/i3cJ2HRz8BWxHVVbEIxnODB5XKNGTNmzpw5U6ZMeeyxx2666aYtW7aUsnnooYcKCwsPHTq0bdu266+//tChQw0aNIiPj3/qqafat29fWFh477333n777StXriSEHDt2bPjw4WPHjiWE2GymzYtq3wQLAAAAAEGFQqovD9a6devsdvvMmTMJIQsWLEhMTDx48GC7du2oQVFR0SeffLJ9+/a4uLiRI0f27dv3448/fvDBB1u1atWqVSvV5qabbpo7dy5t0rRp0+7duxscfyngIgQAAACAIUxyEfp1rP3793fu3FmVo6KiWrVqdeDAAd4gPT29uLi4Y8eO6ssuXbpQg5KSkk2bNn3xxRdPPfXUPffcQ5s899xzl1566bhx43799Vfjn4ZK8K5gxdhb3jHmPVX2RLJVWWuc5uOzFrJF1+GXzVMFPrdvcfN6qhCakUeVwvrqShzbxdtrqpYp/o55K6hySrS2H7dQYSmzu/wwXRvq5kiqjDvCDL7bPKeckwN1F1ngud7g+m/FjaiLRLKzjAwSW6kuJzu5nnVddjpJxQj9bnyv+uZw/vkmUR+gxD0oqLeR9wZSdyGv9PKW+p2KXRJILKVKuc9fg386l5fWXWTgw9IQvLNsvftT0/sPTqxR7Al8fIH2hN//r9crbrWiIJrKdj1RwdBwlp89TBI87TlYpp98WUuFfsCZRJWtos9RuaShdgscL2EGjhaa0u7gEiLovwCWYqa0KaKfWtE1K13k8rPr1Ur4jAwhedpVF3qRPWrsBUy2lmiy5GRKS5HmOBzeaT5V8gnu2QD8nOOUQSGSYngFS1EkRVEuXLhQ9q3Q0NAIPXNNTk5OdDT79mNjY8+dO8cbnz9/PioqikZExMbG/vHHH6pcUFDwzDPPXLx4sbi4uGfPnqry5ptvTkpKioiI+OKLLwYMGLB371660GWE4J1gAQAAAKBWYFYtQofDIZzctG/ffvv27apcr169Q4cO0bdyc3MTEhJ444SEhIKCAkVR1DlWbm5u/fr1aduNGzcSQj766KPRo0efPHnSYrGMGDFCfffRRx/dsmXLV1999cADDxg8F4IJFgAAAACChJiYmJycnIptWrdu/e6776pyUVHR8ePH27Rpwxs0btzYZrMdPHiwffv2hJA///yzd+/epToZMGDA6dOnCwsLo7gFVEJIZGSk06dPwD8QgwUAAAAAQyhm5GjwM8h95MiRFy9e/OSTT2RZfu655y677LJLL72UEPL555+//PLLhJDIyMgJEyY8+eSTTqfzp59++u677yZPnkwI+f77748cOSLLcnZ29oIFC3r16hUVFeVyub788kuHw+F0Ov/73/9u3LgxLS3NlM8kiFewFIVW0rAWsq2z1EPMO5glJzXgfeGagbMBc9aGnM1nh9C3kfNdRadrLvTFn7M9ui921FzCBYfiqDL2kO7f/ZvNdm355sx8QS1FGG6V1nY2e+HSr1UuXpDGoEjhYcySxjN55T7gZD0GyMKuf6IUa9EkiotTyoJN2l4ZGSxWalrW0ouKEyaIcytwFXJ8xy0J6tv4kX5QKvV/2ReVxsQIK5/JNUQMs12rCnU1d8OwiMmqkD+yM1W+3Z2mL2GfWp6sVajJldldc0kIC03qYKeBsBXHXYmJsmj33dhI9gMxNvIXZtFQ+/9oW2awq7iRKnxy+nKq3He8sS5yBbKcXGRVAU3uwGU/sej3suii5au6WUu0FyG57Aa3X2AVfKQC7QlA+GgqPaOEEubr8wk0slANcg+sLcXPHkJDQ7/44ovbbrtt+vTpnTt3/uijj1R9enr6sWPHVPn555+fOnVqQkJCfHz822+/3aRJE0LIkSNHbrnllvT09Pj4+AEDBnz22WeEEFmWn3/++SlTprhcrg4dOixfvrxr164GT0QliCdYAAAAAKgNmBXk7qdlv379/vrrr1LK+++/n8qJiYk0vyjl1ltvvfXWW0spQ0NDt23bVsmR+gUmWAAAAAAwhCnFno1P0YIKfydYHo+noKAgJiamlN7lcpWUlJSKEXO5XJIkGUyHmuc+/tX6d1q0aGGkk7L0G/MclRW92PiPK3zsF+h034uq0PA4W6AOzdG8gVbOLbj+twWmjBPUAfpc/7wqhDeNp8qQc1p+dsnBErVLDZJIWfQsDHzOdGLnM63rDyMX5y4v0ZwdkptLHu3RDTycB5DPtE674pyJ1LEoSaL87LyzsrwE8WXxlaWBeUi4g0q6qRKQ3044uirIsVBV8Lkbaru7kD8XT6qW1zFjIDOYc+gaVfix05dUGWMJ14WqHqAPWtnYj12rqFxVCG+0lSrXRnRShewSFppyJKc+lXMvaLkGFBd3heuZ3KlACLHpfr/QHHaxRp7Wglhs55mHVCrmQlMK9WZcEMLa7DcqPK3S5ObmNmu2rFJNQFn8ulpTU1Ojo6ObNWuWmJj46quvUv0LL7yQmJjYvHnzK6+88syZM6pyxYoVAwYM6N+//+bNm1VNu3btOnXqRMPyn3766TvvvJMAAAAAoE6gkGqtRVgr8GuC9eKLLzocjgsXLqxateq+++5TM6L+8ccfCxcu3LlzZ3Z2dqtWrWjK+ddee+1///vf+vXrlyxZompyc3MzMjLeeust9WVxcXGhsMgaAAAAAGohikn/6hJ+TbC6dOlitVoJIb17946Lizt79iwh5OOPPx41alSbNm0kSZo1a9Z///tfdY0qKSnp22+/XblyJe/dmzNnzhNPPOFwOKrmLAAAAABQY1Rnmobagr9hUhs2bDhy5MjmzZsHDhzYt29fQsjRo0e7deumvtu+ffvi4uLMzMzmzZu//vrry5YtCwsLoytYhJB//etfW7Zsefnll+fNm+fnEWVZTk9PVyt72Gy2Jk2aSP7HeZTPDysfDKDV7y/eV0rjcrlkWQ4NDTU+JFCLGGq/jsrWls1U4dTVDagy7xK2dzq+vlb3JuYoK6AkndNLeUSySh2kWJTdgxaysPqKduKjqaixLPrzycKHcHF62i0XmiRR2TtlgqA5hc8Hwcu0Vo/HIzAQxkOJztRbJWjlM7KqZkKv6tgf5oQQQsbG3FyxgTBczNaUZjEgR/QOomPY396dEzJUwUPY9WMNypSNRXrltBY2liWhZ/QJVfhNakaVp0NY+HKepMVgWRzsZrTnaicYksv6D7ugXTfhOVzRm2IamsnXqhI8IhSfKVfMpjp3EdYK/J1gHT169Lfffjty5Mjll1/u8XgsFktubm5kpJZ6xG63h4SEXLx4kRASFxf3yCOPlO1h8eLF/fv3v/322/08YnZ29qRJk2ik/IcffmhWagpTUCdYZuV7rQry8/N9G9UcRUVFLpfLYgnG56aKWmmhpkcBgBe1yA9Qi4Za56nsdxHkPx+1BX8nWHfccQchxOl0durU6b///e/kyZMTExNzc7XJdlFRUUlJSVKSaCeUTseOHdPS0p555hlar7FikpOTN2/ebPouQrOoFStYfDnMYMNqtYaFhQXzBEuSpFLbYwGocYL5pi5FLRpqnaey34UsSk1cMaakafiHughVQkJCmjVrlp2dTQi59NJLf/lFS3S7a9euxMTE5OTkipsvWrSoS5cu48ePr9gMAAAAALUIBS7CMvieYJ08eXL16tX9+vWzWq3r16/fvn37Sy+9RAiZOnXqM88889lnn3Xv3n3evHm33nqrlc/WI6JFixaTJk165513rr/+enOGD0C1MDTkBlWQbHaqlNMzVSHlpRNU2bgFC7xwHz2uWXJdWRrof4cUsLgNFo0kXNLjPZXCcCg+2MJTcVEaRShyVTVErYQFcLwM9ReyyJIPB3GzaBJWwMcrcqviYfN9Cg0EunIMy/koKtT64TQWHtU0qjonFt9/AEhc+sPek15QhZ//M4sq5XpcMsUc7W7K52rBWHTZqbA0TuFSIAVwAoKNJNPD3GR5ekRjrsy8Fuc8sapwtIQtLhws1CIy919kyqxzsVS2nNHOJSKT3cuhudpx7QVsACF52s1iK+QiF2mIlY394Ercc2NtRs3kr1KUcu7dymC8h6DC9wQrLCxsx44dr7/+usfjad++/YYNGzp06EAIadSo0Zdffrlw4cLs7OyrrrrqscceK6+HK6+8Mi5OK+E3f/78w4cPX3LJJWadAAAAAABqFkWp1lI5tQLfE6zExMQPP/xQ+NbgwYMHDx7sswe1nqJKSkrKhg0b/B8fAAAAAECtA7UIAfANW4Hnq8uEaUVpLDFcLHwe261j1UtLSXbmWGQFcCSRN5BfIqeOM7evv+oUUStF6AIrzy9WkWPLq0CN0EWoCFx43i5IbVQKX6uH+g29HAN6Qgefbju/XYS+Lb3eF3oG/XZdVKOPQ+jOq5FaOpZul6pCcRLbw3SxneC6lcPYvRD1t3YLFKcwF5hT1jxf2R6W3CTeohlEW7jkJgFxzqNVmPnVyQpYHXdqO7QynXFUeaqIyQ6XXoGKOye37jc8dqEeVRYWaJbufHam9hz2Uxuaownh59i1Ys/X7gWLh/OWOnWlS5DxxMsFbw+Gn3IzVrDE2V9qK8HwrQAAAACgFqMoJuwB/EfvIgQAAAAAKIUphW7qVow7JlgAAAAAMIoJLkKCFSxQK5h4yXwqKwnaJmF3NJcZlYsm2LT14eoaV+2EflR8GgW96otXiBIfWaUbKzK3y5r15XcqPz7wS1RAxitCiAU5+UxD4NWHyFKgVEQhIL7THNAoKy6jhFJxxgdfXYrfqFS4VcVH8B13VbUZGQKjRgKzpGKtQlRBQ/abUpyihRs2e+9ZqozrEUnlwhTtg7MeZsqNRdoe833nG1LluYtamGOXJqeo8vrkn6lMY3fah5xhrTxaQFiezCK3duR3VIWtZ1pRZVaO/oQsYuOX8phsd2j3ssTdyh4t2oqE5DFlZKEmWFiWCWJh4WTE6tTOOjSXqwVU4tFbsYvJWqR1YSlgBbgstKwWl9xk7cFnCAg+MMECAAAAgCEUBYlGS4MJFgAAAAAMoZhRSb2OVX/FBKvu4mYr1NIFLXeAjcujTewsEXDapZqLcO2fT1XH2IKAobZruVfcn00WXeacfcwvxyci158FktdTgfcGljEtB7Fbior8H3Wci9BHq8AcV8Kh+srIoPg8qNCxKGwkiZRiU19vG31aV8rH+o/DylXqlKO02APFwq5Pa772hJHDmTNr78v3UXnGrptUYdOPXagyYZuW6Dw3kRW3TTqs9ZAe3oYqH2nUlg1Az/Re1IR50yLitWIJnRpkUuWhnERVyN+XQJVRGZpgK+RSJxRxskN7nNqK2Q0u27VHBM2nQAixODUDiUu4IHGJSCTdwFLkpEp2rXq4B0iJfi4lvGWlqwRWE+YkGjVlKMFC8JbaBQAAAACopWAFCwAAAACGQAxWWbCCBQAAAACjKIoJ//wkMzNzxowZgwcPfuihhxwOR1kDt9v99NNPDxky5IYbbvjzzz9V5eHDh2fOnDls2LCrrrrqmWeeKSoq0keuLFu2bOjQoRMmTNi5c6cZHwYhWMGqewxPmKFJvC/fpfnyvTb5h3MF6l2acVrTe6lubfpLZo1KuHVcSFXvJx9inagK3vkOfMQwcXkQuFas0ks5f6gI0xCI/kITxzD5jMEKJNyqvD8Q/U5z4P9BA6s5Y14QxkaPVgXV/8sP8DdgxZ/bF5nLovQwrCH/WqQK+U2YQXTrC6rweIfVVClnvUXlNxppwm9jt1Blj3v+LnusQQMXq0JIeg5VxmedpbJk0+K9pEYNqPJ8j/qq8PMVLHJLcmm3QMJhdqlFn9KekDYHi3ayFPHJEXTZxWVfoPCxrR7dQFj2ihDFqXWluFn/LOJTVPZKkUV3hSW4Fnuqs9izoigjR47s06fPggULnn322VtvvfXTTz8tZfPEE0+sWbPmxRdf/PHHH1NTU48ePRodHe1wODp06DBhwoT8/PwFCxYcO3bszTffJIS88sorr7zyyhtvvLF///4hQ4bs378/JSXF4LkQTLAAAAAAYJxq20W4devWjIyMZcuWWa3Wt99+u0mTJhkZGY0aNaIGLpfr9ddf//LLL/v27duvX781a9YsX778tttu69atW7du3ajNnDlzVHnZsmXPPPNMampqamrqxo0b33vvvXnz5hk9GbgIAQAAAFCL2L17d69evaxWKyEkKSmpRYsWe/fu5Q1Onjx57ty5yy+/XH3Zp0+f3377TZVlWb5w4cKhQ4c+/PDDq6++mhDicDgOHz58xRVXlDI+ffp0YWEhMQBWsOoCaSkzqUw9X+L96lzuBlLMGdAl7hKWcnh47DRVWJf7XgCjqnG/DPUGCinXV6Wrv8p9i3pAvHM6UPSPWi5n47TwCP4vogsddD6bm3lQoY+v4iNV7gDmIcjuUONXYPAQWHr3ig3y8/PZi5+0n7fmv7FaESX9tZzpsyazO/GvLtuoPO9SzXU46bEXqTLhr+dVweLiUhtEaT9VtugIqrTksvzs7vPnNSmPheMkOGluhWRmGapdKnGHCqjSmqvLJZzbjk+OoEdZKHzoBR0gV6pBoaUU+McC5+Njjws+4QJz/QvvVcFdIyzqUJMoZhS68a+HM2fOxMfH05f16tXLysriDc6ePRsTE2OzaZdNQkLCoUOHVPncuXN9+vTJyspq3br1q6++qvZGCFE7TE9Pf+655woKCl555ZUHHnggIiJi27ZtHTp0COxsMMECAAAAgCEUM2oRKorkcDhatWpV9q2WLVtu3LhRlaOiooqL2QpBQUFBdHQ0bxwVFcUvPhUUFMTExKhyUlLS0aNHPR7P448/npaW9vvvv6t/SBcVFYWEhHzwwQc9evTIyMh4+umnz5w5s2LFinfffXfJkiWBnQ4mWAAAAAAwivHVaYWQyMhIOpHi4adQTZs2/fLLL1XZ7Xanp6c3a9aMN27cuLHH4zl16lTjxo0JIcePHy9lYLVaZ8yYsWjRory8vKSkpPDw8GPHjnXt2vX8+fPR0dFdu3bNyMiIjY3t37//pk2bAj4dxGABAAAAwBiKZMo/i8XSUkRiYiI91NVXX33o0KFffvmFEPLpp58mJCT06NGDEPLjjz9+8803hJC4uLjhw4erOwRPnTq1Zs2a6667jhBy+PBhl8tFCFEUZfny5S1btoyJibFYLBMnTlSN69evv3nz5ilTpnz88ceEkMzMzOTkZMHJ+gdWsGoZ/cY8R+XwM9oaqRrrp6I49bgBPlZAl/nAI8nCtaJhAS6XQFkZan/gi//JBWgsRWUWxsUxUj6SN/hoHthBA0SY0KHGCa7R1ApMTJ4iNEhr86AqtFnK1h4+HD2Iyh99qYVeWbnAp+I47c/+qNNclgS39v0qIeypRaJYPJZVT3kgFxRRpedEuirEcoFZJFyL3FJyLlCdrD/rJAtbdGDRVITPySLM3sJnV/GV8UT8MJFK/V/2RSmd74wndZe4uLhly5alpaU1b948IyNj+fLlFouFELJ69eoDBw6MGjWKELJkyZKrrrrqm2++ycjIuPvuuzt27EgIWb58+dKlS5s0aZKdnR0fH798+XK1w4ULF6alpV122WVnz56dOHFiamqqGuKWnJz873//O+BxYoIFAAAAAENUc7HnqVOnXnPNNadOnWrRokVYWJiqfPLJJ+m8s0OHDocOHTp06FBSUlJCglZ38rHHHrvvvvtOnToVHx/PZ7pq2rTpvn37Dh8+HB8fn5TEimC2bcvqXQYAJlgAAAAAMIZiUhCW30RHR5fa38c7c9SXZTcAxsTEXHLJJWV7s1gs7dq1oy8//PDDuLi40aNHV2JAZcAEq5ZB3YKEEGuuvhjOJ1/QEy54bSemy9qcpcK7pfRZv5db0O+/JoZYTXMLBrafXAhL5O01vED2ufjKCV6Zp4IkkAz/6SfMRC88aHna4HT8gaBAeNl/lfd+xa2UUK1WhKWAJX9p8RV3hdHs5ZxjjuZMl7KZC4/oCuyJ+gAAIABJREFU++2JlYsbzmfbxJRi7RASn99csqv/ey7mMeWFi1oT/rFJHXQWr19oH4hvFh+3kNC1xx7GfLyBZF6QQNVTx2oRKopi3AmLCRYAAAAADFO9K1jBD3YRAgAAAACYDFawAAAAAGAMNc+CUYLFRWgKmGDVMqznuGACfUOywpV0YIEFfP12trXYR30Y72AgTeZrztBopHIR1CypafiRCMMavNBOYKxeKYhwZ81HgwWYkIIe3/dIyjQJmICCRQCogLExN5dV8jeI8neGKsgFXFEaLl2k4tQTMXABo1JstN6KKwOnP8EUrryMZGO/XyzkVBbWn+FgN6ClrJYPQuVr0fC5GQR9+p9mpRxouI8kCoysLVTnLsKqJjY2tlR2+ADABAsAAAAAxqjGWoTVwNixY413ggkWAAAAAAyDIHdvMMGqHQzX3VVSGCtWr7g0b6DXfmN9iZtzC/ILr+Xt56cr8IFd4MG4ri124fnrIax6guVzAqBKWO/4QBWGWK+lSj6eQdLzOKzP/disg/LxDCxaIaDHWiVaBfjY9IpdqPRBOSoXxQH8wOVyvfDCC19++eXJkyf5wtIvvPDC1KlT/ewEEywAAAAAGKPaE41WKfPmzXvttdemTJkybtw4Xt+lSxf/O8EECwAAAADGMGUXYdDEYK1evfrZZ5+98847jXSCCRYAAAAADFOHVrBiY2Pr169vsBNMsGoHbD8zn3yBSl5V38Ud6P+X83YlquJQZz9rstHDJS8wr2xOteGVfIGLZgAAVAoTS10FBo1AcjgcdJu9901dcTGpyvzCV6Isla9WVCvM+OCzI06kX0F1fuzaGOrQBGvWrFnLli0bMWJEVFRUwJ1gggUAAAAAwJgwYcL27dtbtGjRq1evyMhIqp8xY8bgwYP97ASlcgAAAABgGDUMy+C/4OCtt9566aWXUlJSQkJCAu4keFewovMTZrR6qKy+upc9a46hNra3ma4bK7KHM/F/WVsq9T8h3u5Cui5diU3CrK/gdKvRSyXAlOvcpxpoDwCAcm+fanuY85kLyolhCCx9i6iVQSeXebnM+Y/9n/O7aRbLli174IEHnnvuOSOdBO8ECwAAAAC1g7oVgyXLct++fQ12AhchAAAAAAyjmPEvOLjuuuu+/vprg51gBQsAAAAAgNGtW7f3339/2LBhgwYNiouLo/p+/fp16NDBz05q3wSr4miYuuRp5lMnMP8/V3a+nA29FQZmlfP3AdcmWIremPhVVrIrpdT/AIA6A59Tpixevy+BxVsHEs9a5QQSRRpTSXtFkgyHqBvvwSw++eSTixcv7ty5c+fOnbz+hRdeqMsTLAAAAAAEHXUoBmv58uXGO8EECwAAAADGqFtB7qaACVZwUV6+A7rYLJWXZ4HTVtB/YKXaawTsMQYA1A6Cxa9Vo1TvBKu4uPidd945fPhwjx49brzxRotFsGPv22+/Xb9+fcOGDadPn16vXj1CyMWLF1evXr13796IiIhRo0Z1795dtVy5cuXBgwdVOSIi4q677jJ8JoSYOMHas2fPp59+ymvmzp0bExNDCDl27Ni777575MiRxMTEiRMnXnnllWYdFAAAAAD/NMaPH19SUjJ+/PgXXnhhz549zz//fCmDt99+e+HChXPnzt2+fXvfvn337NkTEhKycOHCo0eP9u3bNy8vLzU19d13350wYQIh5JNPPsnPz+/cuTMhxOl0mjVI0yZYf/zxx0cffXTvvfdSjTqj3LJly1VXXTVt2rRrr7326NGjo0ePnjt37kMPCTKIAgAAAKB2YkYedv96+P3337ds2ZKVlRUZGTlw4MAuXbrMnz8/Pj6eGsiy/PTTT7/22mtXX331HXfc0bFjx5UrV06cOHHx4sWhoaGqTURExJtvvqlOsAghY8eOnTFjhtHxe2OmizApKenBBx/kNW63e+rUqbNnz54/f76q6du3b79+/UaPHt2uXTsTDw0AAACAmkJSiGTYRehnD1u3bu3Tp49aIrBNmzbJyck7d+4cOnQoNcjIyDh27JhaNFCSpEGDBm3dunXixIl0dkUIKSws5As5b926NScnp02bNqNHj7bZzJkaVW0M1v79+//++++7776bavr06dO9e/cVK1Y8/PDDVXro4Cew8jL85cdyKyjlmQTWsTGqIMqrWuOxak2UGgC1jzoVTylMiSOVEcg/5qlSXaeZlZWVlJREXyYlJZ0+fZo3OH36dHR0dHh4uPoyOTn5119/5Q0OHz68bNmyb7/9Vn3ZunXrwsLC/Pz8hQsXPvfcc1u2bOGnYgFj5gRrz549dN6XkJBw5syZI0eOJCcnq5FYlDZt2pw4ccJnb/n5+Uk+jUStKt8oEFwulyzLLpereg4HKNX2FQMATKfa7t+CggJJnCkQVA0mBbkXFBQMGTKk7DstWrR46623VNlut7vdbvqWy+UqVZI5JCSE/3V2uVz8hCkjIyMtLe3RRx+94oorVM3ixYtVobCw8J133klNTW3VqpVwgNOmTUtNTfXzbMycYHXp0mX37t28Jjo6uuzt5HA4UlJSfPYWFhZGiis9hoiIiEq3CQh1gmXKJBdUimr7igEAplNt96/H48GzojYSGho6e/bssno+nXrDhg03bdqkyoqiZGRkNGzYkDdOSUkpLi7OyclRNw/yBllZWYMHD54xY8asWbPKHqWwsDA6Ovr8+fP169cXDq9SIfBV6yK85JJLCgoK9u7dqwbnE0KcTuevv/567bXX+h5ZQE5Q4V7NqkA9ULUdTphePKC/FsppVHtWsKviMxemOf4q733qoQ8kD3JlvCH+1ycIbCQABAnV+YgO4Fg+71nv0A6p1P9e1J6HqilIfkdQVdSJQmw2mxo7VQFpaWl33313enp606ZNt27dqihKnz59CCFHjhwpLCzs1KlTcnJy7969P/vss9tvvz0/P//bb7/9z3/+QwjJzs4eMmTIjTfeyO+0k2XZ6XSGhYURQp566qlVq1Y98cQTEycGEsNTiqqdYDVs2HD8+PF33333N998ExsbqyjKvHnzIiIixo4dW6XHBQAAAED1UY15sBo3bnzvvfdeeeWVAwYMWLdu3eLFi1UX4TvvvHPgwIGVK1cSQp566qmJEydu27Zt7969vXv37t+/PyFk/vz5Bw8eXLlypWrTuHHjlStXFhcXN2nS5F//+ld4ePj333+fmpo6fvx4eixZlvPz80tFOvmJmROsv/76q0WLFvTl119/3alTp3feeWfKlCmtW7fu1q3b0aNH4+Pjv/32Wxp6BgAAAIC6QHWlaSCELF68ePz48UePHn344Yfbtm2rKu+6667iYi20aODAgb///vv27dunT5/er18/NSBv7ty5fC4GNcgnIiLi119//f333z0ez6OPPnrppZeq765Zs2bBggW///57SUlJXFxc//79n3/++fJis4SYNsEaN26cOkOkJCcnE0JiYmK++uqr9PT0I0eOvP3222fPnm3atKlZBwUAAADAP5Du3bvTVOwqjRo14l+qPjRe07x58+bNm5ftqkWLFvzyECFkw4YNo0ePHjBgwAsvvFCvXr0TJ068++67/fr127dvX0JCgp8jlKqzdorL5XrggQd69+59ww03+DTunNQz6VxzI4er0v3AAQe5sxga3zP1wP4aEERr1UlM/H6rKLCpKq5AxGCBWk21pWlwOBzR0dHVcyweFqRVe+qSCdkZs/HixYv+2y/63/fv7/rN4EHl4uILS56t1HGriCFDhjRp0uS9996jGofD0b179zvuuOO+++7zs5NqrUVot9uXLl1anUcEAAAAQJVTt4o9Hz16tNREKjo6etiwYUeOHPG/k2rbBAcAAACAuotixr/gIDExcc+ePbxGUZQ9e/bwCU59Uq0rWMALn1eS155Xv/cBB80FWtUInWVBlSeajtDEUdGufHpA4EwEoPrZ6PlMFbwSOtRyd6E/SIEGtZTqJEi46aabZs2aJcvymDFjEhISTpw4sWzZsl9++eWdd97xvxNMsAAAAAAAGHfeeeepU6cWLVr0yCOPqJoGDRp8/vnnlSqjjAkWAAAAAIxRt2KwJElavHjx7NmzDxw4cPbs2ebNm7dv375UQR6fYIIFAAAAAMPUoQmWSlxc3OWXXx5w87o8waqKCJgqp1wX9D863Mp//A/MqgMhSnXgFACoq9BgLPIPuVUVc0rlBA9qUviMjAy+/uCNN9545ZVX+tlDXZ5gAQAAAKCaqEMrWF988cW1116bkpLSsmVLPuGlw+HwvxNMsAAAAAAAGM8999yMGTNeffVVI+XJMcGqdsROQP93pwbNDL/2UFPr8wH4pn0OtTb5uwEoA3+F1+2L+R/hFuSpW0HuDodj+PDhRmZXBIlGAQAAAGAQSTHnX5AwevTozZs3G+wEK1gAAAAAMIhEFMOJQo33YBKPP/74zTfffOONNw4cODAmJobqu3fv3rJlSz87wQQLAAAAAMaoW7sI//jjj++///706dPLly/n9W+88cZtt93mZyeYYNUggU3V+VZBczH+s6nOUJJ/XGAHqLvUykw6vsAdWjd48MEH27Vrt2XLlpYtW1qt1sA6wQQLAAAAAIapQ0Hu6enpS5YsadOmjZFOMMECAAAAgDFM2UUYNPTq1evw4cMGO6nLE6xgXXau2DPIrtCNHjb+IbZr9ffNu4R9uijr0N1SFVTFBcb3CV8DALUP+lz9hz0/JTMiqIInBmvBggUTJ06Mjo4ePHhwQkIC1UdERPB5RyumLk+wAAAAAFAd1K08WPfff/+ePXvuuOOOUnoEuQMAAAAABMjChQvvvvvusvoOHTr43wkmWAAAAAAwTB1awerSpUtZpcPhCAsL878TTLCCCz7uikeijn0ucEqpvLdfkiqTG6JCW8W/FyYh6lN4nCoOLKvOwD56LBOCsf6pcSGgVlCX6udIklYfRSEy0/4T7rtqz4O1devWQ4cO9ejRQzgZIoQcPXp069atycnJw4YNo6kW9u3bt2fPnoiIiP79+9evX58anzp1atOmTXFxcSNGjAgJCSnbW1FR0ZgxYwYMGPDII4/4OUKUygEAAACAMRST/vnHvffee+utt+7evXvEiBGvvfZaWYN169b16tVrx44djz/++FVXXaUoCiFk7ty5Y8aMWb9+/YcfftimTZuffvpJNd6xY0enTp1+/PHHF198ccCAAU6nc9SoUZI3ERER3333HVawAAAAAFA3SU9Pf/PNN48ePdqwYcMbb7xx1KhR06ZNKzX1mT9//rPPPnvLLbcUFRW1a9du8+bNgwcPvv3225988km1hPMDDzzw5JNPrl69mhCyYMGChx56aM6cOW63u1u3bl999dXs2bMnT55MeysuLl61atUff/wxc+ZM/8eJCVZ1MMQ6sWKDjZ7PfHRBXXsSW3T08haK2gjFQBB1L5X3t4YikAxaKl7nqhsbzYTPHdTXSGul20L4+ZT3of0TXBigNiB0iAf5DTgsnP0SSzb9V1XmXIQy97BTZCpV/dDqJmvXru3Vq1fDhg0JIVdccUVISMiOHTsGDBhADbKysnbt2nXNNdcQQsLDw0eMGLFmzZrBgwc3a9aM2iQlJe3bt48Q4nQ6N2zY8PLLLxNCbDbb6NGjV69e/fHHH5c66OTJk/v27fvaa6898MADfo4TLkIAAAAAGELNg2X8nz9kZmY2atSIvmzUqFFGRkYpg8jIyLi4OPVlw4YNMzMzeYOcnJxXXnll+vTphJCsrCxZlmmHZY0pnTp1OnHihJ8fCMEKFgAAAACMYlIerOLi4jlz5pR9p0GDBvfee68qezwefsOWxWLxeDy8cSkDq9Xqdrvpy8LCwrFjx1511VXjx49XjQm3A6yUMcXtdm/btm3+/Pn+nw0mWAAAAAAwhFmZ3CVJio+PL/sWXY4ihKSkpPz888/05ZkzZ1JSUnjjlJSU/Pz8wsLCiIgI1UD1JxJCiouLx4wZ06JFi1deeYUaS5J09uxZ1YGoGr/66qu///477dDtdv/000/nz5/ftGnTpk2bCCGjR48eMWJExaeDCVYVMpTWtxEmR/DlgB8aegN7YZH0nvjIqgqjbAzGXZWHz8CpCg28T1oRGQqUXvFe9KwDyg2hsBHwn6QgHuurvPejoqL87LZKqVz9HEkglYPXR1zx+z4s/QdhJ6DuYbMyWdECbyQPi8FSJCZLCn2C+cw+o+iGwtumElGk1YFJK1ihoaGzZ8+u2Co1NXX27Nl5eXkxMTH79+8/d+5cr169CCEFBQVutzs2NrZRo0Zt27Zdt27duHHjZFneuHHjk08+SQhxOp0TJkyIi4t755131FB3QkhYWFifPn3WrVunpmhfv379TTfddPLkyWPHjvEHbdSoUaNGjajywoULPs8GEywAAAAA1BouueSS4cOHjxw5cuzYse++++4999wTGxtLCHniiScOHDiwcuVKSZLmzZs3c+bMI0eO/Pzzz2FhYaNGjSKEzJs3b8OGDZMmTVI3AyYmJi5atIgQ8vDDD0+ePDknJ2f//v1ZWVk33HCDKX9dY4IFAAAAAMNUYyb3//u//1u+fPnBgweffPLJMWPGqMrx48fn5uaq8k033dSsWbNNmzYNHDjwgw8+sNlshJCRI0e2adOGdhITE6MKI0eOXL9+/erVq7t27friiy+a5buoyxMs6kyp8S2+kjBjgq+k6mJvoCTa+Onba2MwwXmlMj5U1JUk9OvJSlml2JnIi15+vQpTlQsdjNwBhAn08/PzBV3VNPRidjgc42KnGevMl19Q/F1XfAX4ekD672EMBq8HAH4ghdjZC/o0s/JuQT5NA33u8aneRfESNKED/4RklvytKozH8HkLCYM0AsWMTO7+j8Rut0+ZMqWUskePHvzL/v379+/fn9cMGDCAz+bA07Nnz549e/p7eP+oyxMsAAAAAFQHJsVg1SUwwQIAAACAIczaRViXQKJRAAAAAACTCeIVLEni42VqdCiBwgKnRNFUPs9JHIPFx7AIMw5Ubox6TxXGMHkpfaaBqHAEkuiFJIgw4KMW/NiPLPooxNFa2v++yxMFPTQea4iVz91gMI9CFTWv/C3sf+YIAKqY4QnTVUGycKsSVi07g2QPYUqFi6xiSiZKuoEirqWjCJR8Fk2qVEQhXFzolST83ZQFluYsHMFFWIYgnmABAAAAoLaACZY3mGABAAAAwBhm7CKsYzFYwTvBkrg8BeLPPGj8hkPt14vf0McvWbg8v8wXx8Y/LEIvxu51TkIXYTkGBmGjErogRYjchoEenW8v8htyy9o0q7siHICv5Mgb3J8GPMyghU8zMcQ6sQZHUj4V+6Ar343hngComOH1Z1CZPcOtnIswJIT4iVfAg+7CE6ZpELWSOBehQhPEK0IPI+tW4ZM7UKVXTnnalddRyzsJUFmCd4IFAAAAgFoD5mbeYIIFAAAAAENIcBGWARMsAAAAABgGQe7eBPEES5KI7vb23m4qKBTA1QQQfD98VEqVbM6XxFkSmNveIsodwOcg81U2h4Vz8ZbGotDMvJLLiZLz1UwUWCaM1RF9PHwBIvZJiD9I1tdQ+3WqsMH1X1/DA1WBeVFUBus/AVAhkpX7fbTpD/NQLu7K53ObIgxyEmai8bo/BJYSjawqL4RL13tFbrk9enPWiuWJ8PDhXFxKiEqBNA1l8HeC5XA4/vzzT6fT2a5du+TkZKqXZXnXrl1Op7NXr152u1aPSVGUn3/+uVGjRk2aNKGWx48fP3HiRExMzKWXXhoWFmbiOQAAAAAABBV+TbDOnz/fqlWryy67zG63//bbb3PmzJk7dy4hpLCwcNiwYXl5eVFRUTk5Od9//70695o2bVp8fPy+ffvmzp07cOBAj8czadKkrVu39ujRIzs7+48//jh06FCDBg2q9swAAAAAUD0oiji1aWUw3kNQ4dcEKy4uLjs7W12g2rlz5+WXX37nnXfGxsZ+8MEHbrd7165dNpvt2muvff7555999llFUU6dOvX+++8fPHhw6dKlAwcOXLVq1fbt2w8dOhQZGUkIOXv2bGxsrO+jWiysRLmbW7SkidBFG1P5nauKKKNulbgL+fVbblVZslf48Xr5xUQ1i7yKpVe4Fh3QRSkRXwvU7LMWlWqv4JWm8+kMMq2WO5fzn/fRCtO716kbuJbjf+4G/xOB8HdNJYdTfk+g+qGFCqqTtOQ72Asb9wAPC9UEPpO78GHif0od4fXpv9uRh8/IoAh8iBJ1AvJKKrvdrLXTqVtWfhhwEXrjVy1Cq9VK3X/x8fE2/bJbsWLFDTfcoL686aabvvjiC0KIJEnh4eEvvfTSY489NmjQIEJIdnZ2dHR0eHi42iopKSk0NFRwGAAAAADUQtRdhMb/1SUqEeT+2GOP/f3337t27frggw/UJaiTJ082a9ZMfbd58+anTp2SZdlisXz66adr1qx58MEHu3fvTggZNWrUwoULO3bs+P/t3XlcVOX+B/BnQFZZhkVBBZdBLVwRyiVQBNeu17qWoYZbKT/NW17NNi3LUq+ZC2GWmveKlddbWle7UinoFVy4KYZXBXdRQQ2RfdgGZub5/XHkcIZ5ZoFzmBnw8375qjPPnPOc55zZHs7zPd9n/PjxI0eOHDNmjDkxWHV1dc06oibQapvRRW/YliNhe8CSTL52Nv762njzAEQS+fbGB8QKcAVLVxM6WH379u3QocOtW7f27t07ZcoUOzu7mpoax/pUto6Ojmq1Wq1WOzo6uri4TJ48md/Qz88vOzt77969aWlp//d//+fu7p6WltapUyfju1OpVM04niapqqpq9rZ1dXVarVajae4NF2BtJl/96upqOzuzLvFaRXV1tb29ven1AFonMd/PBB8QsAFN6GDFxMQQQuLi4gIDA1NTU6Ojo/39/YuKirhnCwsLfXx8HA1MHeDh4TFnzpw5c+ZUV1eHh4d/8cUXK1euNL47d29vO42cW6blyoYnGhIWNJTRuvohZEG0Fq2rJQwNm7m5uRlvgxF1dXUT2s98WGM7A3FX9qyf54Z2mxyVN/s2dPY9wEY3IboxUjKjW7HCAnSKWBNBULPDudhMT8XDiiFjY2z/nFccv5xc90/mZmLeIS2NUso3z1anxzEfM1yveSFUzK2a9XexJaflkWgmobZE5KdP+AExabzPw28DmTB8pT4wRgczo4GwkE/KI+zeCZf5FXTy+8gaP0sIJYxC9uZC/Hcts37mRpqGt51dTf3v5u/s6g1ColE9Tf4Dnfubnvvv0KFDjx07xpUfO3Zs6NChzE2E12ldXFx69uxZWVnZnMYCAACAbaJS/GtDzLqClZKScujQoZCQEI1G849//CMgIGDYsGGEkAULFgwZMiQ4ONjT03Pt2rVckLu+7du3Jycnjx8/3t/f//Tp00lJSampqRIeAwAAAFgTEo3qMauD1bdv34yMjOTkZAcHh4kTJ7700kvcbYCPP/74f/7zn+3bt9fW1u7duzc6Opq5+fPPP29nZ5eZmVleXh4YGJiRkdG3b18pDwIAAACsRybFAF8bGyI0q4PVuXPnZcuWMZ8KCwvjbhU0wtfXNy4uzvg6+qizI3V+mC5LZ9RYVT9CLIhwkjk8HAtvCMYSTBRABbn/ZXbNCewY5zKd316wU4f6MsFIq05oGKuQScZY0l1k1EBZazaEPgnfqhK+a9khLoxwFfZHhRmDJZz1SK+exvUbPZfC5F6UeSrEGdtuKqvYRP3J6u+kakBTNOmoReaMklBLtKR5dUqXUst8TdpR2/o1srBxrjP4ZVl9FiGd72pBdiiirf+SF97YxP/ECNfk6xSm0WrHmnVH+MPBLwt+oRomRmP9xFBmYJaBqqg9HxnWUJW2HWNNbfv6yLOmxmBZXEFBQV5eXq9evTw8PJgr1NTUXLx40dfXt2vXrsLy2trayspKuVzOn+HKysra+gRgMplMLpdL0kLbvUkKAAAAWgdJArDM/pthy5YtwcHBixYtCgoK+vnnn/VXOH/+fFBQ0Kuvvjp48OA33niDK7x58+YTTzzh7u7u7e0tjAWfPXt2QEBAUFBQUFDQ4MGDRZ+Lh9DBAgAAAFEsmWi0uLj4zTffPHLkyPHjx7ds2fLnP/9ZP+fZm2++OX/+/PT09P/973+JiYlnz54lhHh4eKxduzYjI0O/zvj4+OLi4uLi4qtXr4o+GQ81IU2Dhcm0Whk/3ie8x5WfP0d4LZcfrXMS3G5af9lWU1UtqLehTznW8cX6MtbtrLpz2TDK+MwGwpdWeAGZv1QrY131Zd5DK6Qz2MjcirVqMxm9idfsrXUfGJ1HgghGBoXnhzktj+kb5vk1tPpFOlXp713wTjC4AxOpAwyctfqtTA4sNm8McYzdC8b3z9iV7YwEtgK2ebLMHrjEAGK9sU6xgkf1MQyCac0aUhsI8i/KBN9LlP+6EM7bVv/NT5kJEYU/W8JUPvwgnR0rd4NwNJDfSlhVw08Ba1hQUJUwdoWy0kDY1beEOgjqFzOZmKWC3A8cOBAcHBwSEkIImTRp0rx5806fPi3MY1BcXJySkpKYmEgI8ff3nzBhwp49ewYNGuTj4zNq1Ki8vDz9OmtqanJzc7t06SJh+jRcwQIAAABxLHgFKzc3V6FQcMv29vZdu3a9ffu2cIU7d+44Ojp27tyZe9ijR4/c3Fzjda5cuTIiIsLLyys+Pr7Jx26A7V7BAgAAgEdKXV3d3r2Meb69vb252Y0JIVVVVcKs5i4uLo3y/ldVVQmnPHZ2djaefTMhIYHrjZ0+fXrUqFGhoaGRkZFijoKDDhYAAACIJsUQoaEOVmBgIN/B8vf3P3/+PP9UUVGRv7+/cGU/Pz+lUllXV+fg4MBcoRH+WtfgwYPHjh2bmpra1jtYGi3R1GdkMDlnJz+sLBg9lTk/7MDKalSMNdnbE1o/6YFuQof6ZS1rThjmTDVEEI+lk3CAMdVPQ2SYySwSgmF1Get2XGGQGUPzPgBiRuUb7djkBDgN7RekoRBeUGAGAAAgAElEQVRuxTeGmdyBsmK8hNXzhYKXkkpwgPpNMTXDD5UuxKeZzRfVgBTNHn55jH19NJiNxi21JWYH3En4UlgwnCtFy/hxFUkn8pP/MRGk7yG1dfpb6Xzr8L9BrGnBdL9M6gOzBNFaMkH+IGY4VMMUcMJoqvqJ12R2jBgsQzFezFl3GhL9mNxpc8koO4K2aZUQ6urqumfPHuOrhYWFrVy5Uq1Wt2vXLj8//9atW1w8Fi8wMNDPzy89PZ3rJ508eXLu3LlmtuHOnTuS9K6ITXewAAAAoLWwVJB7REREUFBQXFxcbGzs+vXrY2JiOnXqRAhZvXr19evXExMT27Vr9+qrry5cuHDt2rXp6em3b9+eOnUqIUSr1f7tb38rKSkhhCQmJrq5ub300ks1NTULFy4cNWqUq6vr999/f+vWrSlTpog+EkLQwQIAAACxLDvZc1JS0po1axISEoYNG/bWW29xhQMHDuSHApcuXerp6fn555937tz52LFj7du3J4RQSnNycgghb7/99t27d7lALgcHh8DAwB9++EGlUvXt2/fs2bN+fn5ij+Th4Ug4OCKpkMAI/+o+Dx+whl1kMsaNqcIBMlpTwy1oTc4tzUy/zjwzzHwBTbsUz0yIYCwNhM7z7AnYBeOG/LVi5lVf5vVtnZ2x0kBI8HeJ0SqY9xsbOqvGXyCDB9i4UOedrzPyy48FMPZqcDjYeFPZCepN5X+v+1a/sCE1g0lNyijBXsFYCzFE2KrYzPe8qYaIHCJkZmTQeVvyg33C7DDtWHfms75M2N8A7EJT4QLsj5qpE1Q/XGjn1BDlzQ8mEuF4oj1rihHhdx1/KoTjhvXN/m/tt6WlpSYaIxC/K/Xbg7+Zvz6Tpq7m+qF1TdqvLcMVLAAAABCnKXnYjVXShqCDBQAAAKJgsmd96GABAACAOLiCpceGO1h1ddryiofLOnFH9XOJM0ewhTMSMKciF2Z8aIjmYaSBMBCdxpqepmnvCeawPWs94ZQY/EwOOjFYD49LphMqwM8vJAjM4k8a8/CFD5iT9kjJRIhPw42+OrNDMOeNZ4U4MGOwjOdrIITIGk4LpaxgBX56DZ36TU3Gw3qazfyN2LMSNYuM9WYWoKyzyodejbGPEbV3CZiKa2Fin+C29b3O0Ly3SgucFnNj/JrNVGgmc8367DyUsL5AhMvN+lQbaJWwerObXZ/9R6OuFZQKPsv1MVgyh3aMFQQ/dvzPgYz5te/MKDMOV7AawVQ5AAAAABKz4StYAAAA0CpQKkFKaltNa9A8ttvBolotVZvIrstQK7hq2pAznTUpuk6lzXlRDQw1tMxVb/ZwJZ9QQDgGWn+wGtYYpuksA6w0DcIl1liczvbmZwdgjfVR/qDUDbmPdfJQMKc65wubsXdCiEwwAQB/YDrjhqwBgoZTwMzCIDgVVPhaGB2tEKw51mGa3o6IybEe9tV+5ubscUGq/3yyICPDWMcXHz4rfCHYHyuDD+o3Mv/DwmhrM0ezzX6HNHMsiFWlyHF3wyeypX+NTAyCS1a96CrHOtZ/WJhtNpWShrI/y+zPNYvYAxCEvpjCHqwUfMdr1I0WTFfJLG3iECGC3PXZbgcLAAAAWgcEuetBBwsAAABEwRUsfQhyBwAAAJBYm76CxZwURaI6bQJ/gMJp4esDC0xHnplNpypTcROUHRojMqGAoH5mOE7DBDusyBfm/EKGkhQwV2AeFPMNxozbEPxdJqOME0j5lBAyE2EfMuYfRU04uyYig5jz84x1epGxFWWdVZ0YNEEVDSEuJt6KpmLILKd5J1X03lgpRQw8oKz3UsuT8AXi3/bSVclk8q3YpBmk9FHmDgysyy5lRIax3xVN+ICYH0MmBQwR6mnTHSwAAACwAEploi9AiK/BpqCDBQAAAKLhCpYudLDaBNb9uhIOjDatKtYV7GaM+zRtp1qj9ctYV90NDTs2ZPdg1aCTU95UCCNzELJh4FKYap+/9Vo4qQAzjwVlLTI1ZTCufnmcy3TWvkyOgJif55qR8qPlSZcygclUmoamYA5Gsx8wR7mljIhoM0yeEvNPmtlpMnRXNP9Fka6TgjeCtaGDBQAAAKLIqDB1YHOJr8GWoIMFAAAA4iDIXQ8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50.0u\"yr\")\n", "prob = SteadyStateProblem(F, x, p)\n", "sol_τ50 = solve(prob, CTKAlg()).u * u\"mol/m^3\"\n", "plothorizontalslice(sol_τ50, grd, zunit=u\"μmol/m^3\", depth=500, color=cmap, clim=(0,1))" ], "metadata": {}, "execution_count": 16 }, { "cell_type": "markdown", "source": [ "Point-wise sources like the rivers used here can be problematic numerically because these\n", "can generate large gradients and numerical noise with the given spatial discretization:" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "Plot{Plots.GRBackend() n=1}", "image/png": 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"plothorizontalslice(sol_τ50, grd, zunit=u\"μmol/m^3\", depth=0, color=cmap, clim=(-10,10))" ], "metadata": {}, "execution_count": 17 }, { "cell_type": "markdown", "source": [ "Note, for an example of numerical noise, the negative values appearing in red.\n", "Hence, it might be wise to smooth the 3D field of the river sources.\n", "We can do this using the `smooth_operator` function\n", "(`smooth_operator` creates an operator that can be applied to smooth the AIBECS vector\n", "along the stencil of the given transport matrix and in a volume-conservative way).\n", "And we can check that the negative values disappear after smoothing of the sources:" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "Plot{Plots.GRBackend() n=1}", "image/png": 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= S * (S * s_0) # smooth river sources twice\n", "sol_smooth = solve(prob, CTKAlg()).u * u\"mol/m^3\"\n", "plothorizontalslice(sol_smooth, grd, zunit=u\"μmol/m^3\", depth=0, color=cmap, clim=(-10,10))" ], "metadata": {}, "execution_count": 18 }, { "cell_type": "markdown", "source": [ "Note that such numerical noise generally dampens out with distance and depth" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "Plot{Plots.GRBackend() n=2}", "image/png": 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good to reduce noise as much as possible!" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "---\n", "\n", "*This notebook was generated using [Literate.jl](https://github.com/fredrikekre/Literate.jl).*" ], "metadata": {} } ], "nbformat_minor": 3, "metadata": { "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "1.8.2" }, "kernelspec": { "name": "julia-1.8", "display_name": "Julia 1.8.2", "language": "julia" } }, "nbformat": 4 }