{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Deep Water Bubble Calculations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Introduction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this Jupyter notebook we perform the calculations for the paper Mark W. Sprague, Michael L. Fine, and Timothy M. Cameron (2022), \"An investigation of bubble resonance and its implications for sound production by deep-water fishes,\" with documentation/explanation of each step. Refer to the paper for the references cited in this notebook. This notebook runs in the Julia programming language. Julia version 1.7.2 was used for all calculations in the paper.\n", "\n", "We use following Julia packages for the calculations in this notebook.\n", "\n", "* CSV - read parameter values stored in CSV files.\n", "\n", "* DataFrames - store parameter values in dataframes.\n", "\n", "* Interpolations - interpolate between parameter values calculated at specific depth. Gas and water parameters were calculated for a range of depths in a different notebook. We import the calculated parameter values and create interpolating functions to provide parameters at any depth in the range. All interpolations use a cubic spline method.\n", "\n", "* SymPy (which calls the SymPy Python package) - symbolic expressions and symbolic calculations. Once each expression is in a form for numerical calculations, a Julia numerical function is generated with the SymPy `lambdify` function.\n", "\n", "* Roots - numerically solving equations.\n", "\n", "* Optim - find the maximum values of parameters. We used the `optimize` function to find a constrained minimum of the negative of the parameter using Brent's method.\n", "\n", "* PyPlot - generate figures using the Python Matpoltlib package.\n", "\n", "* PyCall - generate a Python function needed to customize the PyPlot figure format.\n", "\n", "* Statistics - use the mean and max and std functions.\n", "\n", "Some of the symbolic calculations in this notebook produce long symbolic expressions as output. These expressions are many lines long and often do not fit within the page margins or screen size. Output from these expressions has been suppressed using a trailing semicolon (`;`). To view the output, delete the trailing semicolon before entering the input cell." ] }, { "cell_type": "markdown", "metadata": { "tags": [] }, "source": [ "## 2. Initializations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Load the packages used in the notebook." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "tags": [] }, "outputs": [], "source": [ "using CSV, DataFrames, Interpolations\n", "using SymPy, Roots, Optim, PyPlot, PyCall\n", "import Statistics: mean, max, std" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Import SymPy symbols into the document." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "tags": [] }, "outputs": [], "source": [ "import_from(sympy)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This function that executes Python code to interface with PyPlot (which also runs in Python) will make it easier to generate subplots with the PyPlot `gridspec` method." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "slice (generic function with 1 method)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "slice(i,j) = pycall(pybuiltin(\"slice\"), PyObject, i,j)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Parameters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define the parameters and value substitutions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First define the imaginary number $i$." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$i$" ], "text/plain": [ "ⅈ" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "i = IM" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define the symbols for use in mathematical expressions." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(ρ, pw, μ, σ, c, dd, γ, a, ω)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ρ, pw, μ, σ, c, dd, γ, a, ω = symbols(\"ρ, pw, μ, σ, c, dd, γ, a, ω\", real=true)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define $f$ as a variable." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(f,)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "@vars f" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "valst" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\"\"\"\n", " vals(gas, depth, temp=\"w\")\n", "\n", "Function to produce a Dictionary with numerical values for each of the \n", "water and gas parameters in a specified environment. The resulting\n", "dictionary can be used to substitute these values for the symbols in a\n", "symbolic expression.\n", "\n", "# Arguments\n", "`gas` - type of gas in the bubble. Use `\"N\"`, `\"N2\"`, or `\"n2\"`\n", " for nitrogen. Use `\"O\"`, `\"O2\"`, or `\"o2\"` for oxygen.\\n\n", "`depth` - depth of the environment. Use `0`, `\"S\"`, `\"s\"`, or \n", " `\"surface\"` for 0 m. Use `7.2`, `\"Sh\"`, `\"sh\"`, or \n", " `\"shallow\"` for 7.2 m. Use `1000` for 1000 m. Use `2000` \n", " for 2000 m. Use `3500`, `\"D\"`, `\"d\"`, or \n", " `\"deep\"` for 3500 m (deep water). Use `7200`, `\"dd\"`,\n", " `\"DD\"`, or `\"very deep\"` for 7200 m (very deep)\\n\n", "`temp` - optional parameter for the water temperature (only for \n", " the sueface and shallow water) environments. Use `\"w\"` or\n", " `\"warm\"` for the warm water (20 °C) environment. Use `\"c\"`\n", " or `\"cold\"` for the cold water environment (1.50 °C). The\n", " default value is `\"warm\"`.\\n\n", "# Output Dictionary Keys\n", "`\"ρ\"` - water density (kg/m^3)\\n\n", "`\"pw\"` - ambient pressure (Pa)\\n\n", "`\"μ\"` - water dynamic viscosity (Pa s)\\n\n", "`\"σ\"` - water surface tension (N/m)\\n\n", "`\"c\"` - water sound speed (m/s)\\n\n", "`\"dd\"` - gas thermal diffusivity (m^2/s)\\n\n", "`\"γ\"` - gas ratio of specific heats\n", "\n", "\"\"\"\n", "function vals(gas, depth; temp=\"w\")\n", " if (gas == \"N\") | (gas == 1) | (gas == \"N2\") | (gas == \"n2\")\n", " if (depth == 0) | (depth == \"s\") | (depth == \"S\") | (depth == \"surface\") \n", " if (temp == \"w\") | (temp == \"warm\")\n", " return (\n", " [ρ, pw, μ, σ, c, dd, γ] .=> \n", " (1028, 1.01325e5, 1.077e-3, 7.352e-2, 1522, 2.100e-5, 1.401)\n", " )\n", " elseif (temp == \"c\") | (temp == \"cold\")\n", " return (\n", " [ρ, pw, μ, σ, c, dd, γ] .=> \n", " (1027, 1.01325e5, 1.812e-3, 7.601e-2, 1456, 1.862e-5, 1.402)\n", " )\n", " end\n", " elseif depth == 1000\n", " return (\n", " [ρ, pw, μ, σ, c, dd, γ] .=> \n", " (1032, 1.019e7, 1.812e-3, 7.601e-2, 1473, 1.914e-7, 1.612)\n", " )\n", " elseif depth == 2000\n", " return (\n", " [ρ, pw, μ, σ, c, dd, γ] .=> \n", " (1036, 2.033e7, 1.812e-3, 7.601e-2, 1490, 1.143e-7, 1.738)\n", " )\n", " elseif (depth == 3500) | (depth == \"d\") | (depth == \"D\") | (depth == \"deep\")\n", " return (\n", " [ρ, pw, μ, σ, c, dd, γ] .=> \n", " (1043, 3.562e7, 1.812e-3, 7.601e-2, 1516, 9.538e-8, 1.760)\n", " )\n", " end\n", " elseif (gas == \"O\") | (gas == 2) | (gas == \"O2\") | (gas == \"o2\")\n", " if (depth == 0) | (depth == \"s\") | (depth == \"S\") | (depth == \"surface\")\n", " if (temp == \"w\") | (temp == \"warm\")\n", " return (\n", " [ρ, pw, μ, σ, c, dd, γ] .=> \n", " (1028, 1.01325e5, 1.077e-3, 7.352e-2, 1522, 2.1210e-5, 1.397)\n", " )\n", " elseif (temp == \"c\") | (temp == \"cold\")\n", " return (\n", " [ρ, pw, μ, σ, c, dd, γ] .=> \n", " (1027, 1.01325e5, 1.812e-3, 7.601e-2, 1456, 1.878e-5, 1.400)\n", " )\n", " end\n", " elseif depth == 1000\n", " return (\n", " [ρ, pw, μ, σ, c, dd, γ] .=> \n", " (1032, 1.019e7, 1.812e-3, 7.601e-2, 1473, 1.720e-7, 1.668)\n", " )\n", " elseif depth == 2000\n", " return (\n", " [ρ, pw, μ, σ, c, dd, γ] .=> \n", " (1036, 2.033e7, 1.812e-3, 7.601e-2, 1490, 9.264e-8, 1.897)\n", " )\n", " elseif (depth == 3500) | (depth == \"d\") | (depth == \"D\") | (depth == \"deep\")\n", " return (\n", " [ρ, pw, μ, σ, c, dd, γ] .=> \n", " (1043, 3.562e7, 1.812e-3, 7.601e-2, 1516, 7.487e-8, 1.950)\n", " )\n", " end\n", " end\n", " error(\"Values not found.\")\n", "end \n", "\n", "\"\"\"\n", " ρ, pw, μ, σ, c, dd, γ = valst(gas, depth[, temp])\n", "\n", "Function to call `vals` and return the parameters values in an Array. This function is useful for supplying the parameters to a \n", "Julia function.\n", "\n", "# Arguments\n", "`gas` - type of gas in the bubble. Use `\"N\"`, `\"N2\"`, or `\"n2\"`\n", " for nitrogen. Use `\"O\"`, `\"O2\"`, or `\"o2\"` for oxygen.\\n\n", "`depth` - depth of the environment. Use `0`, `\"S\"`, `\"s\"`, or \n", " `\"surface\"` for 0 m. Use `7.2`, `\"Sh\"`, `\"sh\"`, or \n", " `\"shallow\"` for 7.2 m. Use `1000` for 1000 m. Use `2000` \n", " for 2000 m. Use `3500`, `\"D\"`, `\"d\"`, or \n", " `\"deep\"` for 3500 m (deep water). Use `7200`, `\"dd\"`,\n", " `\"DD\"`, or `\"very deep\"` for 7200 m (very deep)\\n\n", "`temp` - optional parameter for the water temperature (only for \n", " the sueface and shallow water) environments. Use `\"w\"` or\n", " `\"warm\"` for the warm water (20 °C) environment. Use `\"c\"`\n", " or `\"cold\"` for the cold water environment (1.50 °C). The\n", " default value is `\"warm\"`.\\n\n", "# Output\n", "`ρ` - water density (kg/m^3)\\n\n", "`pw` - ambient pressure (Pa)\\n\n", "`μ` - water dynamic viscosity (Pa s)\\n\n", "`σ` - water surface tension (N/m)\\n\n", "`c` - water sound speed (m/s)\\n\n", "`dd` - gas thermal diffusivity (m^2/s)\\n\n", "`γ` - gas ratio of specific heats\n", " \n", "\"\"\"\n", "function valst(gas, depth; temp=\"w\")\n", " v1 = Dict(vals(gas, depth, temp=temp))\n", " return v1[ρ], v1[pw], v1[μ], v1[σ], v1[c], v1[dd], v1[γ]\n", "end" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define a list of the symbols in the same order as the output of values in the `valst` function." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(ρ, pw, μ, σ, c, dd, γ)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "vlist = (ρ, pw, μ, σ, c, dd, γ)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4. Property interpolation with depth" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.1. Oxygen" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Read calculated parameter values for oxygen bubbles into a dataframe. This data file was produced by the S1 Notebook in Section 5.1.9." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "valso2 = CSV.read(\"DeepWaterPropertiesO2.csv\", DataFrame);" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "8-element Vector{String}:\n", " \"depth\"\n", " \"water_density\"\n", " \"pressure\"\n", " \"water_dyn_viscosity\"\n", " \"water_surface_tension\"\n", " \"water_sound_speed\"\n", " \"thermal_diffusivity\"\n", " \"gamma\"" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "names(valso2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define an array containing interpolation functions for each column of the dataframe." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "ivalo2 = Array{ScaledInterpolation}(undef,7)\n", "for n in 1:7\n", " itp = Interpolations.interpolate(valso2[:,n+1], BSpline(Cubic(Line(OnGrid()))))\n", " ivalo2[n] = scale(itp, (valso2[1,1]:valso2[end,1]))\n", "end" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define a function that returns a Dictionary of parameter values for a given depth. This dictionary is useful for substituting into symbolic expressions." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "valsfo2" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\"\"\"\n", " valsfo2(d)\n", "Return a Dictionary of interpolated parameter values for oxygen bubbles at depth `d`.\n", "\"\"\"\n", "function valsfo2(d)\n", " flist = (ivalo2[n](d) for n in 1:7)\n", " vlist .=> flist\n", "end" ] }, { "cell_type": "markdown", "metadata": { "tags": [] }, "source": [ "Define a function that returns an array of parameter values for a given depth. This array is useful for providing values to functions." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "valso2list" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\"\"\"\n", " valsfo2list(d)\n", "Return an Array of interpolated parameter values for oxygen bubbles at depth `d`.\n", "\"\"\"\n", "function valso2list(d)\n", " collect(ivalo2[n](d) for n in 1:7)\n", "end" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 4.2. Nitrogen" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Read calculated parameter values for nitrogen bubbles into a dataframe. This data file was produced by the S1 Notebook in Section 5.2.9." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "valsn2 = CSV.read(\"../GasParameters/ValsN2.csv\", DataFrame, header=false, transpose=true);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define an array containing interpolation functions for each column of the dataframe." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "ivaln2 = Array{ScaledInterpolation}(undef,7)\n", "for n in 1:7\n", " itp = Interpolations.interpolate(valsn2[:,n+1], BSpline(Cubic(Line(OnGrid()))))\n", " ivaln2[n] = scale(itp, (valsn2[1,1]:valsn2[end,1]))\n", "end" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define a function that returns a Dictionary of parameter values for a given depth. This dictionary is useful for substituting into symbolic expressions." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "valsfn2" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\"\"\"\n", " valsfn2(d)\n", "Return a Dictionary of interpolated parameter values for nitrogen bubbles at depth `d`.\n", "\"\"\"\n", "function valsfn2(d)\n", " flist = (ivaln2[n](d) for n in 1:7)\n", " vlist .=> flist\n", "end" ] }, { "cell_type": "markdown", "metadata": { "tags": [] }, "source": [ "Define a function that returns an array of parameter values for a given depth. This array is useful for providing values to functions." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "valsn2list" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\"\"\"\n", " valsfn2list(d)\n", "Return an Array of interpolated parameter values for nitrogen bubbles at depth `d`.\n", "\"\"\"\n", "function valsn2list(d)\n", " collect(ivaln2[n](d) for n in 1:7)\n", "end" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5. Bubble Size and Resonance" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 5.1. Definitions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The equation numbers given here are those in Ainslie and Leighton [1]. Note: We use `dd` to represent the thermal diffusivity, $D_p$ in Ainslie and Leighton [1]. \n", "\n", "The following expression is Eq. (8)." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\frac{\\sqrt{2} \\sqrt{\\frac{dd}{ω}}}{2}$" ], "text/plain": [ " ____\n", " ╱ dd \n", "√2⋅ ╱ ── \n", " ╲╱ ω \n", "───────────\n", " 2 " ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lth = sqrt(dd / (2ω))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following expression for the bubble Laplace radius is Eq. (11). The parameter `σ` is $\\tau$ in Ainslie and Leighton [1] is , and `pw` is $P_{\\mathrm{liq}}$." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\frac{2 σ}{pw}$" ], "text/plain": [ "2⋅σ\n", "───\n", " pw" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "RLap = 2σ / pw" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a check, use the dictionary generated by the `vals` function to generate a numerical value." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "4.267827063447501e-9" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "N(RLap(vals(\"n2\", 3500)...))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following equation is Eq. (12) for the natural angular frequency. This is the Minnaert angular frequency." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\frac{\\sqrt{3} \\sqrt{pw} \\sqrt{γ} \\sqrt{\\frac{1}{ρ}}}{a}$" ], "text/plain": [ " ___\n", " ____ ╱ 1 \n", "√3⋅╲╱ pw ⋅√γ⋅ ╱ ─ \n", " ╲╱ ρ \n", "────────────────────\n", " a " ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ωM = expand_power_base(1/a * sqrt(3γ * pw / ρ), force=true)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a check, generate a numerical value for `ωM` using `vals`." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "42464.08442394073539373615396379947556004437812655596490962434667038011121324344" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "N(ωM(vals(\"n2\", 3500)..., a=>0.01))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define a Julia function for the Minneart frequency." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "#118 (generic function with 1 method)" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fMjl = lambdify(ωM/(2*π), (a, vlist...))" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "42464.08442394074" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "2*π * fMjl(0.01, valst(\"n2\", 3500)...)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following is Eq. (14) for the thermal diffusion ratio. The parameter `a` is $R_0$, the bubble radius, in Ainslie and Leighton [1]." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\frac{\\sqrt{2} a}{\\sqrt{dd} \\sqrt{\\frac{1}{ω}}}$" ], "text/plain": [ " √2⋅a \n", "──────────────\n", " ___\n", " ____ ╱ 1 \n", "╲╱ dd ⋅ ╱ ─ \n", " ╲╱ ω " ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X = expand_power_base(a / lth, force=true)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a check, generate a numerical value for `X` using `vals`." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2566.618233025503586652631289132593889747080961471964214565849780904802650517199" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "N(X(vals(\"n2\", 3500)..., a=>0.01, ω=>2*π*500))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following is Eq. (16) for the complex polytropic index." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Symbolic output from the expression below has been suppressed. To show the output, delete the trailing semicolon before entering the entering the expression.*" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "Γ = simplify(γ / \n", " (1 - \n", " (((1 + i) * X/2) / (tanh((1 + i) * X/2)) - 1) * \n", " (6 * i * (γ - 1)) / (X^2)\n", " )\n", ");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a check, generate a numerical value for `Γ` using `vals`." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.7584365465467842 + 0.001559466675711914im" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "N(Γ(vals(\"n2\", 3500)..., a=>0.01, ω=>2*π*500))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We solve Eq. (15) for $\\omega$ to get the resonant frequency $\\omega_{\\mathrm{res}}$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First enter an expression for Eq. (15). Each defined parameter is expanded in the resulting expression." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Symbolic output from the expression below has been suppressed. To show the output, delete the trailing semicolon before entering the entering the expression.*" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "eq15 = Eq(\n", " γ * ω^2 / ωM^2,\n", " (1 + RLap/a) * re(Γ) - RLap / (3a)\n", ");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can use `vals` and enter numerical values for `a` and `ω` to evaluate the left and right sides of the equation. We will use this below to find numerical solutions." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.009633162446505897, 1.758437154756190352918898161325051116620666094925326833635863147467430535808923)" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(N(lhs(eq15)(vals(\"n2\", 3500)..., a=>0.01, ω=>2*π*500)), N(rhs(eq15)(vals(\"n2\", 3500)..., a=>0.01, ω=>2*π*500)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that if we enter values for `a` and the parameters supplied by the `vals` function, both sides of Eq. (15) become functions of `ω` only. We will use this to solve numerically for frequency values." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Symbolic output from the expression below has been suppressed. To show the output, delete the trailing semicolon before entering the entering the expression.*" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "eq15(a=>0.1, vals(\"n2\", 0)...);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following is Eq. (34) for the dimensionless frequency." ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "tags": [] }, "outputs": [ { "data": { "text/latex": [ "$\\frac{a ω}{c}$" ], "text/plain": [ "a⋅ω\n", "───\n", " c " ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ϵ = ω * a / c" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a check, generate a numerical value for `ϵ` using `vals`." ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.020722906685948502" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "N(ϵ(vals(\"n2\", 3500)..., a=>0.01, ω=>2*π*500))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is Eq. (46) for the equilibrium pressure inside the bubble." ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$pw + \\frac{2 σ}{a}$" ], "text/plain": [ " 2⋅σ\n", "pw + ───\n", " a " ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pgas = pw + 2σ/a" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a check, generate a numerical value for `pgas` using `vals`." ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "3.5620015202e7" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "N(pgas(vals(\"n2\", 3500)..., a=>0.01, ω=>2*π*500))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is Eq. (93) for a frequency-dependent parameter related to the resonant frequency." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Symbolic output from the expression below has been suppressed. To show the output, delete the trailing semicolon before entering the entering the expression.*" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "ω0 = simplify(sqrt(3 * re(Γ) * pgas / (ρ * a^2) - 2 * σ / (ρ * a^3)));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a check, generate a numerical value for `ω0` using `vals`." ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "42445.22660247035756165512249712223906496083819417985503674056170985506937390732" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "N(ω0(vals(\"n2\", 3500)..., a=>0.01, ω=>2*π*500))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is Eq. (87) for the stiffness parameter `K`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Symbolic output from the expression below has been suppressed. To show the output, delete the trailing semicolon before entering the entering the expression.*" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "K = simplify(ω0^2 + ϵ^2 / (1 + ϵ^2) * ω^2);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a check, generate a numerical value for `K` using `vals`." ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.801601497907386526890443524370992964559564711017030564728345747037665056562364e+09" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "N(K(vals(\"n2\", 3500)..., a=>0.01, ω=>2*π*500))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is Eq. (91) for the viscous damping factor. The parameter `μ` is $\\eta_s$, the shear viscosity coefficient of the liquid, in Ainslie and Leighton [1]." ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$\\frac{2 μ}{a^{2} ρ}$" ], "text/plain": [ "2⋅μ \n", "────\n", " 2 \n", "a ⋅ρ" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "βvis = 2μ / (ρ * a^2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a check, generate a numerical value for `βvis` using `vals`." ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.03474592521572387" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" } ], "source": [ "N(βvis(vals(\"n2\", 3500)..., a=>0.01, ω=>2*π*500))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is Eq. (92) for the thermal damping factor." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Symbolic output from the expression below has been suppressed. To show the output, delete the trailing semicolon before entering the entering the expression.*" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [], "source": [ "βth = simplify((3 * pgas) / (2ρ * a^2 * ω) * imag(Γ));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a check, generate a numerical value for `βvth` using `vals`." ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "254.2888262311701877290558552074788321531971508530733444014724842977070258107796" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "N(βth(vals(\"n2\", 3500)..., a=>0.01, ω=>2*π*500))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is Eq. (90) for the non-acoustic damping factor." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Symbolic output from the expression below has been suppressed. To show the output, delete the trailing semicolon before entering the entering the expression.*" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [], "source": [ "β0 = βvis + βth;" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a check, generate a numerical value for `β0` using `vals`." ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "254.3235721563859116022697906983456204669212514428255416670974842977070258107796" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "N(β0(vals(\"n2\", 3500)..., a=>0.01, ω=>2*π*500))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is Eq. (88) for the (total) damping factor." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Symbolic output from the expression below has been suppressed. To show the output, delete the trailing semicolon before entering the entering the expression.*" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [], "source": [ "β = β0 + ϵ / (1 + ϵ^2) * ω/2;" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a check, generate a numerical value for `β` using `vals`." ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "286.8610649953059419810940236955492009199818188218233444014724842977070258107819" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "N(β(vals(\"n2\", 3500)..., a=>0.01, ω=>2*π*500))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 5.2. Resonant Frequency" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Convert the symbolic expression `eq15` to a Julia function so we can find a numerical solution (right side - left side = 0)." ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "#118 (generic function with 1 method)" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eq15jl = lambdify((lhs(eq15) - rhs(eq15))(ω=>2*pi*f),(a, vlist..., f))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now define a function to find frequencies for the zeros of `eq15jl` with supplied parameters." ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "fres (generic function with 2 methods)" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\"\"\"\n", " fres(a1, v1[, f0])\n", "Find the resonance frequency that is a numerical solution `eq15jl`. \n", "The argment `f0` is the optional starting value for the numerical \n", "solution with default value 200 Hz.\n", "\"\"\"\n", "fres(a1, v1, f0=200) = find_zero(eq15jl(a1, v1..., f), f0)\n", "fres(a1, v1; f0=200) = find_zero(eq15jl(a1, v1..., f), f0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 5.3. Natural Frequency" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To solve Eq. (124) for the natural oscillation frequency we subtract the right side from the left side so we can find the root numerically." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Symbolic output from the expression below has been suppressed. To show the output, delete the trailing semicolon before entering the entering the expression.*" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [], "source": [ "eq124z = ω^2 - (K - β^2);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Convert the symbolic expression `eq124z` to a Julia function so we can find a numerical solution (right side - left side = 0)." ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "#118 (generic function with 1 method)" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eq124zjl = lambdify(eq124z(ω=>2*pi*f),(a,vlist...,f))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now define a function to find frequencies for the zeros of `eq124zjl` with supplied parameters." ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "fnat (generic function with 2 methods)" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\"\"\"\n", " fnat(a1, v1[, f0])\n", "Find the natural frequency of oscillation that is a numerical solution\n", "`eq124zjl`. The argment `f0` is the optional starting value for the\n", "numerical solution with default value 200 Hz.\n", "\"\"\"\n", "fnat(a1, v1, f0) = find_zero(eq124zjl(a1, v1..., f), f0)\n", "fnat(a1, v1; f0=200) = find_zero(eq124zjl(a1, v1..., f), f0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a check, evaluate the function for some parameters." ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "32.35148197122246" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fnat(0.1, valst(\"n2\", 0))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 5.4. Far-Field Resonance" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is Eq. (85) for the scattering cross section. This relationship is from Eq. (43) in a previous study by Ainslie and Leighton [42]. Equation (149) in Ainslie and Leighton [1] is based on this with $\\omega_0$ and $\\beta_0$ held constant." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Symbolic output from the expression below has been suppressed. To show the output, delete the trailing semicolon before entering the entering the expression.*" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [], "source": [ "σs = 4 * pi * a^2 / ((ω0^2/ω^2 - 1 - 2 * β0 * ϵ / ω)^2 + (2 * β0/ω + ω0^2 * ϵ/ω^2)^2);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Convert the symbolic expression `σs` to a Julia function so we can find a numerical solution for the maximum value." ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "#118 (generic function with 1 method)" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], "source": [ "σsjl = lambdify(σs(ω=>2*pi*f),(a, vlist..., f))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now define a set of functions that maximizes `σsjl` returning the frequency of the maximum and the maximum value." ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "σres (generic function with 2 methods)" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\"\"\"\n", " fff(a1, v1[, f1, f2])\n", "Numerically determine the resonance frequency that maximizes the value\n", "of `σsjl` between frequencies `f1` and `f2`. `f1` and `f2` are optional\n", "arguments with default values 0 Hz and 10000 Hz respectively.\n", "\"\"\"\n", "fff(a1, v1, f1, f2) = optimize(fin -> -σsjl(a1, v1..., fin), f1, f2).minimizer\n", "fff(a1, v1; f1=0.0, f2=10000.0) = optimize(fin -> -σsjl(a1, v1..., fin), f1, f2).minimizer\n", "\n", "\"\"\"\n", " σres(a1, v1[, f1, f2])\n", "Numerically determine the maximum value of `σsjl` between frequencies \n", "`f1` and `f2`. `f1` and `f2` are optional arguments with default \n", "values 0 Hz and 10000 Hz respectively.\n", "\"\"\"\n", "σres(a1, v1, f1, f2) = -optimize(fin -> -σsjl(a1, v1..., fin), f1, f2).minimum\n", "σres(a1, v1; f1=0.0, f2=10000.0) = -optimize(fin -> -σsjl(a1, v1..., fin), f1, f2).minimum" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 5.5. Far-field pressure resonance plot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define a range of bubble radii for evaluation of radius dependencies and for plotting." ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "0.01:0.005:0.2" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": [ "avals = 0.01:0.005:0.2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 5.5.1. Calculation of far-field resonance frequencies" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Arrays of `fff` values are calculated below for the bubble radii in `avals`." ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [], "source": [ "fffns = map(a1 -> fff(a1, valst(\"n2\", 0)), avals);" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [], "source": [ "fffncs = map(a1 -> fff(a1, valst(\"n2\", 0, temp=\"c\")), avals);" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [], "source": [ "fffn1k = map(a1 -> fff(a1, valst(\"n2\", 1000)), avals);" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [], "source": [ "fffn2k = map(a1 -> fff(a1, valst(\"n2\", 2000)), avals);" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [], "source": [ "fffnd = map(a1 -> fff(a1, valst(\"n2\", 3500)), avals);" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [], "source": [ "fffos = map(a1 -> fff(a1, valst(\"o2\", 0)), avals);" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [], "source": [ "fffocs = map(a1 -> fff(a1, valst(\"o2\", 0, temp=\"c\")), avals);" ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [], "source": [ "fffo1k = map(a1 -> fff(a1, valst(\"o2\", 1000)), avals);" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [], "source": [ "fffo2k = map(a1 -> fff(a1, valst(\"o2\", 2000)), avals);" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [], "source": [ "fffod = map(a1 -> fff(a1, valst(\"o2\", 3500)), avals);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 5.5.2. Plotting far-field resonance frequencies" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the far-field resonance frequencies vs. bubble radius. This is Fig 1B." ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "data": { "image/png": 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JkiTVR4oQ91Qxk8qUlZWFo6MjmZmZtTZ/Sv/5E1B4G4snP0FxlJ0pSZJqT15eHhcvXsTb2xtra+u6TkeSKlTRz2ttfH7XizlTUjls7z7JlyPnS0mSJElSfSU7U/XZ3c6U4fbdJWUKrtZxQpIkSZIk3Ut2puoxxTgy9SXiUjTizpG6TUiSJEmSpFJkZ6o+s7nbmdLffU5ALikjSZIkSfWO7EzVZyUjUwV338vyCJIkSVI9IoRg9OjRODs7oygKJ06cqOuU6oTsTNVjxtt8+YWALNwpSZJkrsuXLzNixAg8PDywsrLCy8uLiRMnkpaWVq321qxZg4ODA0VFRcZtd+7cwdLSkscee8wkdu/evSiKwq+//npf11ATUlNTefnll2nevDkajQadTkdkZCQHDx6skfbj4+PZuHEj//nPf0hOTiYgIKBG2m1oZGeqPivpTOXmFv8pR6YkSZIqdeHCBTp27Mivv/7KJ598wm+//caaNWvYvn07oaGhpKenV7nN7t27c+fOHRISEozb9u7di06n48iRI+Tk5Bi379q1Cw8PD1q1alWt/AsKCioPMtPAgQP573//S1xcHL/++itff/014eHh1foa/FFJjufPn8fd3Z2uXbui0+lMim8/TGRnqj4rmTOVl1f8pxyZkiRJqtTYsWOxsrLihx9+ICwsjObNm9OnTx9+/PFHrl69yuuvv17lNv39/fHw8GDXrl3Gbbt27eKZZ56hZcuWHDhwwGR79+7dgeKRm27dutG4cWNcXFzo27cv58+fN2k7PDyccePGER0djaurKxEREcbt48ePZ9KkSTg5OeHm5sa6devIzs7mxRdfxMHBgZYtW7J169Yyc7516xb79u1jyZIldO/eHS8vLzp16kRMTIzJ8m0tWrRgxYoVJseGhIQwd+7cCnMcPnw448ePJykpCUVRaNGihVnXbDAYWLJkCb6+vmg0Gpo3b86CBQuM+4UQLF26FB8fH2xsbAgODubzzz+v/JtUh2Rnqj6ztAO1LRTd/TYV3kAIQ93mJEnSQy03u7DcV0Fekdmx+bnmxVZVeno633//Pa+++io2NjYm+3Q6HYMHD2bTpk1Up151eHg4O3fuNL7fuXMn4eHhhIWFGbcXFBRw8OBBY2cqOzub6Ohojhw5wvbt27GwsGDAgAEYDKb/l8fFxaFWq9m/f79x6bOS7a6urhw+fJjx48fzyiuv8Oyzz9K1a1eOHTtGZGQkUVFRJiNjJezt7bG3t2fLli3k5+dX+XrvdW+Ob731Fm+88QbNmjUjOTmZI0eOmHXNMTExLFmyhFmzZpGYmMjHH3+Mm5ub8TwzZ85kw4YNrF69mjNnzjB58mSGDBnC7t277/saHpSHczyugVAUpfhWX1Y2SqMRKK5/AQzIPrAkSXXlqcb/LHdf5z7NWPR1L+P7gR6fkJdTVGZs8OM6Yrc/aXw/yPczMm/mlYrbUVh6qbGKnDt3DiEEbdq0KXN/mzZtyMjI4MaNG+Tn5xMVFUVqaipqtZpZs2bx7LPPltt2eHg4kydPpqioiNzcXI4fP87jjz+OXq/n7bffBuDQoUPk5uYaO1MDBw40aWP9+vVotVoSExNN5hf5+vqydOnSUucMDg5m5syZQHEnZPHixbi6ujJq1CgAZs+ezerVqzl58iRdunQxOVatVrNx40ZGjRrFmjVraN++PWFhYbzwwgsEBQVV9qUspawcHRwcUKlU6HQ647aKrtnLy4u33nqLlStXMmzYMABatmxJt27dgOKO2PLly9mxYwehoaEA+Pj4sG/fPtauXUtYWFiV864N8lO5vrPRAgpYBKI49kBRZP9XkiSpukpGpBRFQa1Ws2LFChITE/nxxx+ZPHky2dnZ5R7bvXt3srOzOXLkCHv37qVVq1ZotVrCwsI4cuQI2dnZ7Nq1i+bNm+PjU7wE2Pnz5xk0aBA+Pj40atQIb29vAJKSkkza7tixY5nn/GOnR6VS4eLiQmBgoHFbyYhOamrZ00AGDhzItWvX+Prrr4mMjGTXrl20b9+ejRs3VvKVKq28HO9V0TWfPXuW/Px8evbsWeaxiYmJ5OXlERERYRxZs7e358MPPyx1e7Q+kZ/M9Zxi2wQBckkZSZLqhW9vRZW7T6VSTN5/ce1v5cZaWJjGfvxb+SNCVeHr64uiKCQmJtK/f/9S+3/++WecnJxwdXVFURTc3d0B0Gq1ODs7k56ejp2dXbltN2vWjJ07d5KRkWEcJdHpdHh7e7N//3527txJjx49jMf069cPT09P3nvvPTw8PDAYDAQEBJSaZF7eOS0tLU3eK4pisk1Rir+O9942/CNra2siIiKIiIhg9uzZjBw5kjlz5jB8+HAALCwsSt32LCwsfYu1vBzvVdE133vr9V4l1/Htt9/StGlTk30ajcas89cFOTJV3919ok/k/Iwh/RtEztk6TkiSpIeZjZ1luS8ra7XZsRob82KrysXFhYiICFatWkVuyZPQd6WkpPDRRx/x/PPPGzshJRISEjAYDHh6elbYfvfu3dm1axe7du0iPDzcuD0sLIzvv/+eQ4cOGW/xpaWlcfbsWWbOnEnPnj2NtxjrWtu2bU1G4Jo0aUJycrLxfVZWFhcvXqxW25Vds5+fHzY2Nmzfvr3c3DQaDUlJSfj6+pq8Kvve1CU5MlXflZRHMBxF/L4ZdGNRbMueCyBJkiTBypUr6dq1K5GRkcyfPx9vb2/OnDnDtGnTaNq0qcmTY1DcARg6dCjvv/9+pW13796dsWPHUlhYaDJ/JywsjFdeeYW8vDxjZ8rJyQkXFxfWrVuHu7s7SUlJvPbaazV7sRVIS0vj2Wef5aWXXiIoKAgHBwcSEhJYunQpzzzzjDGuR48ebNy4kX79+uHk5MSsWbNQqVTVOmdl12xtbc3f//53pk+fjpWVFY8++ig3btzgzJkzjBgxAgcHB6ZOncrkyZMxGAx069aNrKwsDhw4gL29vXGeVX0jO1P1nGKjLb7NV6AHK2StKUmSpEr4+fmRkJDA3Llzef7550lLS0On09G/f3/mzJmDs7OzMTY/P58BAwYQExND165dK227e/fu5Obm0rp1a5Mn0MLCwrh9+zYtW7Y0jqBYWFjw6aefMmHCBAICAvD39+ftt982GdF6kOzt7encuTOxsbGcP3+ewsJCPD09GTVqFDNmzDDGxcTEcOHCBfr27YujoyPz5s2r9siUOdc8a9Ys1Go1s2fP5tq1a7i7uzNmzBjj/nnz5qHValm0aBEXLlygcePGtG/f3iTn+kYR1Xk+9CGUlZWFo6MjmZmZNGrUqNbOKzLOYYgfAi4qaHITHB5D5bu+1s4vSdLDKS8vj4sXL+Lt7Y21tXVdp/NACCEYNGgQ/v7+JjWVpIanop/X2vj8lnOm6jtbWbhTkiTpQdi/fz+bNm1iy5YthISEEBISwqlTp+o6LakBkrf56jurRqDSQJG++L28zSdJklQjunXrVuFTcJJkLjkyVc8ZC3cW3n3yRH8LYbj/SraSJEmSJNUM2ZlqCGy0YFAwDiTKW32SJEmSVG/I23wNgGKrRaCAui8WzXuD2rnygyRJkiRJqhWyM9UQ3J2ErhS4oTj2qCRYkiRJkqTaJG/zNQTGKujy9p4kSZIk1TeyM9UAKDZ3yyPk/168pMztn+o2IUmSJEmSjGRnqiEoqTWlJCF+n4JI21S3+UiSJEmSZCQ7Uw1BSWfq7qKdQtaakiRJkqR6Q3amGgJNY7CwhKK7taYKZGdKkiRJkuoL2ZlqABTFAmyaQNHdb1dhKnJJRUmSJEmqH2RnqqGw1f6vMyXyQJ9Vt/lIkiRJkgTIzlSDodhqQSjA3dWwZRV0SZKkBic8PJxJkybdd8yDJIRg9OjRODs7oygKJ06cqLNcGgrZmWooSsojCNviP+UkdEmSpDINHz4cRVFYvHixyfYtW7YUr3daTSkpKYwfPx4fHx80Gg2enp7069eP7du332/KVZKamsrLL79M8+bN0Wg06HQ6IiMjOXjwYI20Hx8fz8aNG/nPf/5DcnIyAQEBNdLun5msgN5QlDzRl98ai7bDwLZt3eYjSZJUj1lbW7NkyRJefvllnJyc7ru9S5cu8eijj9K4cWOWLl1KUFAQhYWFfP/994wdO5aff/65BrI2z8CBAyksLCQuLg4fHx+uX7/O9u3bSU9Pv692CwoKsLKy4vz587i7u9O1a9cayvjPT45MNRBKSWfqtgrFsTuKXJ9PkqRaJIQgP7uoTl7VeeDmiSeeQKfTsWjRohq5/ldffRVFUTh8+DD/93//R6tWrXjkkUeIjo7m0KFDxrj8/HwmTJiAVqvF2tqabt26ceTIkXLbzc7OZujQodjb2+Pu7s6yZcsqzOPWrVvs27ePJUuW0L17d7y8vOjUqRMxMTE89dRTxrgWLVqwYsUKk2NDQkKYO3eu8X14eDjjxo0jOjoaV1dXIiIiGD58OOPHjycpKQlFUWjRogVQPFrVrVs3GjdujIuLC3379uX8+fPGtgwGA0uWLMHX1xeNRkPz5s1ZsGCBcb8QgqVLl+Lj44ONjQ3BwcF8/vnnFV5rQyJHphoKY60pOVdKkqTaV5CjJ9r+izo59/I7A9HYVe3jSqVSsXDhQgYNGsSECRNo1qxZtc+fnp5OfHw8CxYswM7OrtT+xo0bG/8+ffp0vvjiC+Li4vDy8mLp0qVERkby22+/4exc+pfgadOmsXPnTr788kt0Oh0zZszg6NGjhISElJmLvb099vb2bNmyhS5duqDRaKp9XQBxcXG88sor7N+/HyEE7u7utGzZknXr1nHkyBFUKhVQ3OmLjo4mMDCQ7OxsZs+ezYABAzhx4gQWFhbExMTw3nvvERsbS7du3UhOTjYZrZs5cyabN29m9erV+Pn5sWfPHoYMGUKTJk0ICwu7r2uoD2RnqqEomTNVmIoh7UsUlR1K4151m5MkSVI9NmDAAEJCQpgzZw7r16832Xf58mWioqJITU1FrVYza9Ysnn322TLb+e233xBC0Lp16wrPl52dzerVq9m4cSN9+vQB4L333mPbtm2sX7+eadOmmcTfuXOH9evX8+GHHxIREQEUd24q6vip1Wo2btzIqFGjWLNmDe3btycsLIwXXniBoKCgSr8m9/L19WXp0qUm2xwcHFCpVOh0OuO2gQMHmsSsX78erVZLYmIiXl5evPXWW6xcuZJhw4YB0LJlS7p162b8uixfvpwdO3YQGhoKgI+PD/v27WPt2rWyMyXVImtnUFSgyUUk/R1hG4BKdqYkSaolVrYqlt8ZWHngAzp3dS1ZsoQePXowZcoUk+1qtZoVK1YQEhJCamoq7du358knnyxz5KnkNmNlk9fPnz9PYWEhjz76qHGbpaUlnTp14uzZs2XGFxQUGDsYAM7Ozvj7+1d4noEDB/LUU0+xd+9eDh48SHx8PEuXLuX9999n+PDhFR57r44dO5oVd/78eWbNmsWhQ4e4efMmBoMBgKSkJHJycsjPz6dnz55lHpuYmEheXp6xw1iioKCAdu3aVSnf+kp2phoIxUIFNq5QdLV4gyyNIElSLVIUpcq32uqDxx9/nMjISGbMmGHS0XB3d8fd3R0ArVaLs7Mz6enpZXam/Pz8UBSFs2fP0r9//3LPVV6nSwhRZkfsfoovW1tbExERQUREBLNnz2bkyJHMmTPHeI0WFhal2i8sLCzVTlnXW5Z+/frh6enJe++9h4eHBwaDgYCAAAoKCrCxsanw2JKO17fffkvTpk1N9t3vbcr6Qk5Ab0hstVBYUgX9JkIU1W0+kiRJDcDixYv55ptvOHDgQJn7ExISMBgMeHp6lrnf2dmZyMhI3n33XbKzs0vtv3XrFlB8y8zKyop9+/YZ9xUWFpKQkECbNm1KHefr64ulpaXJBPaMjAx+/fXXqlweAG3btjXJrUmTJiQnJxvfZ2VlcfHixSq3C5CWlsbZs2eZOXMmPXv2pE2bNmRkZBj3+/n5YWNjU26JiLZt26LRaEhKSsLX19fkVd7XvKGp887U1atXGTJkCC4uLtja2hISEsLRo0eN+4UQzJ07Fw8PD2xsbAgPD+fMmTMmbeTn5zN+/HhcXV2xs7Pj6aef5sqVKyYxGRkZREVF4ejoiKOjI1FRUcZ/AA2FYqMFvULxt80ARWl1nZIkSVK9FxgYyODBg3nnnXdK7UtLS2Po0KGsW7euwjZWrVqFXq+nU6dOfPHFF5w7d46zZ8/y9ttvG2/T2dnZ8corrzBt2jTi4+NJTExk1KhR5OTkMGLEiFJt2tvbM2LECKZNm8b27ds5ffo0w4cPx8Ki/I/mtLQ0evTowb/+9S9OnjzJxYsX+eyzz1i6dCnPPPOMMa5Hjx7885//ZO/evZw+fZphw4YZJ5NXlZOTEy4uLqxbt47ffvuNHTt2EB0dbdxvbW3N3//+d6ZPn86HH37I+fPnOXTokHGemoODA1OnTmXy5MnExcVx/vx5jh8/zrvvvktcXFy1cqpv6nTMNiMjg0cffZTu3buzdetWtFot58+fN3kyYunSpSxfvpyNGzfSqlUr5s+fT0REBL/88gsODg4ATJo0iW+++YZPP/0UFxcXpkyZQt++fTl69Kjxh2fQoEFcuXKF+Ph4AEaPHk1UVBTffPNNrV93tdlqAQWwAbKLb/VZutVxUpIkSfXfvHnz+Pe//22yLT8/nwEDBhATE1NpTSVvb2+OHTvGggULmDJlCsnJyTRp0oQOHTqwevVqY9zixYsxGAxERUVx+/ZtOnbsyPfff19uras333yTO3fu8PTTT+Pg4MCUKVPIzMwsNw97e3s6d+5MbGyscY6Wp6cno0aNYsaMGca4mJgYLly4QN++fXF0dGTevHnVHpmysLDg008/ZcKECQQEBODv78/bb79NeHi4MWbWrFmo1Wpmz57NtWvXcHd3Z8yYMcb98+bNQ6vVsmjRIi5cuEDjxo1p3769Sc4NmqhDf//730W3bt3K3W8wGIROpxOLFy82bsvLyxOOjo5izZo1Qgghbt26JSwtLcWnn35qjLl69aqwsLAQ8fHxQgghEhMTBSAOHTpkjDl48KAAxM8//1zmufPy8kRmZqbxdfnyZQGIzMzM+7rm+6E/+5Eo+riTKDrSWRQd8xOGjG11loskSX9uubm5IjExUeTm5tZ1Kg+EwWAQL7zwgpgzZ05dpyLVgIp+XjMzMx/453ed3ub7+uuv6dixI88++yxarZZ27drx3nvvGfdfvHiRlJQUevX631NrGo2GsLAw473vo0ePUlhYaBLj4eFBQECAMebgwYM4OjrSuXNnY0yXLl1wdHQs9x76okWLjLcEHR0d68d93ZJaU/rib5uQk9AlSZKqZf/+/WzatIktW7YQEhJCSEgIp06dquu0pAaqTm/zXbhwgdWrVxMdHc2MGTM4fPgwEyZMQKPRMHToUFJSUgBwczO9leXm5sbvv/8OFK+VZGVlVWoI1c3NzXh8SkoKWq221Pm1Wq0x5l4xMTEm94SzsrLqvEOl2GgRABn2WIQuAJvSExolSZKkynXr1s34lJkk3a867UwZDAY6duzIwoULAWjXrh1nzpxh9erVDB061Bhn7mOmFcWU91hqee1oNJr698hmychUZjY0CkNR6vz5AUmSJEl66NXpp7G7uztt25ou2NumTRuSkpIAjNVX7x09Sk1NNY5W6XQ6CgoKTB7TLCvm+vXrpc5/48aNUqNe9ZqNK6CAoQjyMioNlyRJkiTpwavTztSjjz7KL7/8YrLt119/xcvLCyh+ekKn07Ft2zbj/oKCAnbv3m188qJDhw5YWlqaxCQnJ3P69GljTGhoKJmZmRw+fNgY89NPP5GZmdmgVsVWLNRg4wIWBsSNf2NI+6yuU5IkSZKkh16d3uabPHkyXbt2ZeHChTz33HMcPnyYdevWGet9KIrCpEmTWLhwIX5+fvj5+bFw4UJsbW0ZNGgQAI6OjowYMYIpU6bg4uKCs7MzU6dOJTAwkCeeeAIoHu3q3bs3o0aNYu3atUBxaYS+fftWWra/3rHRgv46Ii0WbjUCl7LXkpIkSZIkqXbUaWfqL3/5C19++SUxMTG88cYbeHt7s2LFCgYPHmyMmT59Orm5ubz66qtkZGTQuXNnfvjhB2ONKYDY2FjUajXPPfccubm59OzZk40bN5oUKPvoo4+YMGGC8am/p59+mpUrV9bexdYUWy3cujvPS5+FMOSiWFRcyl+SJEmSpAdHEeI+Fgd6iGRlZeHo6EhmZiaNGjWqszwMR5chft0Ere8ARVi03Yai8aqzfCRJ+nPKy8vj4sWLeHt7Y21tXdfpSFKFKvp5rY3Pb/k4WENTUgXdcHc0StaakiRJkqQ6JTtTDY1NSeHO4luYoqD0U4qSJEmSJNUe2ZlqYJSSWlOFd+/OFsrOlCRJkiTVJdmZamhs79bFyisq/lN2piRJkiSpTsnOVENj41r8Z6YKxTMWpUlU3eYjSZIkVUl4eDiTJk2675gHRQjB6NGjcXZ2RlEUTpw4USd5NCSyM9XAKCor0DhBvgpF5YeiqQcLMEuSJNUzly9fZsSIEXh4eGBlZYWXlxcTJ04kLS3tvtpNSUlh/Pjx+Pj4oNFo8PT0pF+/fmzfvr2GMjdPamoqL7/8Ms2bN0ej0aDT6YiMjOTgwYP33XZ8fDwbN27kP//5D8nJyQQEBNRAxn9udVpnSqomWy3kZ0BOKji1qutsJEmS6pULFy4QGhpKq1at+OSTT/D29ubMmTNMmzaNrVu3cujQIZydnavc7qVLl3j00Udp3LgxS5cuJSgoiMLCQr7//nvGjh3Lzz///ACupmwDBw6ksLCQuLg4fHx8uH79Otu3byc9Pb3abRYUFGBlZcX58+dxd3dvUCuE1DU5MtUQ2WpBERiy4jFcfw9ZKkySJOl/xo4di5WVFT/88ANhYWE0b96cPn368OOPP3L16lVef/31arX76quvoigKhw8f5v/+7/9o1aoVjzzyCNHR0Rw6dAiA/Px8JkyYgFarxdramm7dunHkyJEK283Ozmbo0KHY29vj7u7OsmXLKoy/desW+/btY8mSJXTv3h0vLy86depETEwMTz31lDGuRYsWrFixwuTYkJAQ5s6dCxTfShw3bhzR0dG4uroSERHB8OHDGT9+PElJSSiKQosWLYDi0apu3brRuHFjXFxc6Nu3L+fPnzdp22AwsGTJEnx9fdFoNDRv3pwFCxYAxbcOly5dio+PDzY2NgQHB/P5559X9iVvMGRnqgEyPtGX92/EtTdBf6tO85Ek6eFRmF1U7qsoT29+bG6RWbFVlZ6ezvfff8+rr76KjY3p6hA6nY7BgwezadOmKv8Smp6eTnx8PGPHjsXOzq7U/saNGwPFq3Z88cUXxMXFcezYMXx9fYmMjKxwxGjatGns3LmTL7/8kh9++IFdu3Zx9OjRcuPt7e2xt7dny5Yt5OfnV+k67hUXF4darWb//v2sXbuWt956izfeeINmzZqRnJxs7AhmZ2cTHR3NkSNH2L59OxYWFgwYMACDwWBsKyYmhiVLljBr1iwSExP5+OOPcXMrfmhq5syZbNiwgdWrV3PmzBkmT57MkCFD2L17933lX1/I23wNkY0WhAJCA0p+ceFOtVNdZyVJ0kPgXfdN5e5r0cuD/p93N75f2/JzinL0ZcY27abl2e8ijO8/CNhCblrpjsGkrMGltlXk3LlzCCFo06ZNmfvbtGlDRkYGN27cID8/n6ioKFJTU1Gr1cyaNYtnny17vdPffvsNIQStW7cu99zZ2dmsXr2ajRs30qdPHwDee+89tm3bxvr165k2bVqpY+7cucP69ev58MMPiYgo/nrExcXRrFmzcs+jVqvZuHEjo0aNYs2aNbRv356wsDBeeOEFgoKCyj2uLL6+vixdutRkm4ODAyqVCp1OZ9w2cOBAk5j169ej1WpJTEwkICCA27dv89Zbb7Fy5UqGDRsGQMuWLenWrRvZ2dksX76cHTt2EBoaCoCPjw/79u1j7dq1hIWFVSnn+kiOTDVEJSNTeqviP2V5BEmSJLOUjEgpioJarWbFihUkJiby448/MnnyZLKzsys9rjznz5+nsLCQRx991LjN0tKSTp06cfbs2XKPKSgoMHYyAJydnfH396/wOgYOHMi1a9f4+uuviYyMZNeuXbRv356NGzdWeNy9OnbsaFbc+fPnGTRoED4+PjRq1Ahvb28AkpKSADh79iz5+fn07Nmz1LGJiYnk5eURERFhHFWzt7fnww8/LHWrsKGSI1MNkGKrRQAUAWoQhdcp/5+3JElSzRmb/Hy5+xSV6f9EL5//v/Jj7/lV/qXT/e8nLSNfX18URSExMZH+/Uu3+fPPP+Pk5ISrqyuKouDu7g6AVqvF2dmZ9PT0Mm/j+fn5oSgKZ8+eLbNdKL/DJYQotxN2P3Nera2tiYiIICIigtmzZzNy5EjmzJnD8OHDAbCwsCjVfmFhocn7sq61LP369cPT05P33nsPDw8PDAYDAQEBFBQUAJS6pfpHJbcCv/32W5o2bWqyT6PRmHX++k6OTDVEJSNT+XeHz+X6fJIk1RJLO3W5L7W1yvxYG7VZsVXl4uJCREQEq1atIjc312RfSkoKH330Ec8//3ypzk1CQgIGgwFPz7LLzTg7OxMZGcm7775b5ujVrVu38PX1xcrKin379hm3FxYWkpCQUO5tR19fXywtLY0T2AEyMjL49ddfzb7mEm3btjXJrUmTJiQnJxvfZ2VlcfHixSq3m5aWxtmzZ5k5cyY9e/Y03ir9Iz8/P2xsbMosEdG2bVs0Gg1JSUn4+vqavMr7ejc0cmSqISpZn6/w7sQ/uT6fJEmS0cqVK+natSuRkZHMnz/fpDRC06ZNjU+YlUhLS2Po0KG8//77Fba7atUqunbtSqdOnXjjjTcICgqiqKiIbdu2sXr1as6ePcsrr7zCtGnTcHZ2pnnz5ixdupScnBxGjBhRZpv29vaMGDGCadOm4eLigpubG6+//joWFuWPdaSlpfHss8/y0ksvERQUhIODAwkJCSxdupRnnnnGGNejRw82btxIv379cHJyYtasWahUqnLbLY+TkxMuLi6sW7cOd3d3kpKSeO2110xirK2t+fvf/8706dOxsrLi0Ucf5caNG5w5c4YRI0YwdepUJk+ejMFgoFu3bmRlZXHgwAHs7e2Nc6waMtmZaoAUtTVYNYLC4smaQo5MSZIkGfn5+ZGQkMDcuXN5/vnnSUtLQ6fT0b9/f+bMmWNSYyo/P58BAwYQExNTaV0lb29vjh07xoIFC5gyZQrJyck0adKEDh06sHr1agAWL16MwWAgKiqK27dv07FjR77//nucnMp/SOjNN9/kzp07PP300zg4ODBlyhQyMzPLjbe3t6dz587ExsYa52l5enoyatQoZsyYYYyLiYnhwoUL9O3bF0dHR+bNm1etkSkLCws+/fRTJkyYQEBAAP7+/rz99tuEh4ebxM2aNQu1Ws3s2bO5du0a7u7ujBkzBoB58+ah1WpZtGgRFy5coHHjxrRv394k34ZMEbJIkVmysrJwdHQkMzOTRo0a1XU66LcOhju/onQcgeIeiWLtXdcpSZL0J5KXl8fFixfx9vbG2tq6rtN5IIQQDBo0CH9/f2PtJalhqujntTY+v+WcqYbKVgtFFmBwlx0pSZKkati/fz+bNm1iy5YthISEEBISwqlTp+o6LakBkrf5GijF5u4TfTnyFp8kSVJ1dOvWzaTopCRVlxyZaqjuPtEn8g5hSFmLKMqo5ABJkiRJkh4E2ZlqqErKI1gcQSQvg/ykus1HkiRJkh5SsjPVQCkl5RGK7j7mWphSd8lIkiRJ0kNMdqbqMZF7B/21c2VXyC0ZmSoovt8vyyNIkiRJUt2Qnal6SugLuRM7iJwNkxHZt0oH3NOZkuvzSZIkSVLdkJ2pekpRWaI0agKAISO59H5LO7C0Ky6PALIKuiRJkiTVEdmZqscsnHQAiDI6U0DxsjJFxetLydt8kiRJklQ3ZGeqHrNwKl7N3JB+reyAksKdIG/zSZIkSVIdkZ2peszC2QMo+zYfgGKrhTwVqJ7Fwvvt2kxNkiRJkqS7ZGeqHlNKRqbKu81nqwWDBUq+A4pNq1rMTJIkSZKkErIzVY8Zb/NllHOb726tKSGXlJEkSZKkOiM7U/WYhZMOyw5PoXlsEMKgL7VfKSmPoP+leEmZvIu1nKEkSVL9M3z4cBRFYfHixSbbt2zZgqIo1Wpzz5499OvXDw8PDxRFYcuWLWXGrVq1Cm9vb6ytrenQoQN79+59YDEPQsnXTlEULC0tcXNzIyIigg8++ECuY1gB2ZmqxxRLa6x7v4JVp2dQLFSlA0o6U9aXEcnLEDknazdBSZKkesra2polS5aQkVEz65ZmZ2cTHBzMypUry43ZtGkTkyZN4vXXX+f48eM89thj9OnTh6SkpBqPeZB69+5NcnIyly5dYuvWrXTv3p2JEyfSt29fioqKaiWHhkZ2phqyUoU75e0+SZIeDCEERTmFdfIqcxWISjzxxBPodDoWLVpUI9ffp08f5s+fz1//+tdyY5YvX86IESMYOXIkbdq0YcWKFXh6erJ69eoaj7lXeHg448ePZ9KkSTg5OeHm5sa6devIzs7mxRdfxMHBgZYtW7J169ZKr1Wj0aDT6WjatCnt27dnxowZfPXVV2zdupWNGzcCxT8PS5cuxcfHBxsbG4KDg/n8889N2jEnJjw8nHHjxjFu3DgaN26Mi4sLM2fOrNb3vC6p6zoBqWxF6emk/+ufiLxsXKOeA7UlqiZepkGWDqCyhqKc4veyPIIkSQ+IPreI7/6yqk7O/eSRV1HbWlbpGJVKxcKFCxk0aBATJkygWbNmDyi7YgUFBRw9epTXXnvNZHuvXr04cOBAjcaUJy4ujunTp3P48GE2bdrEK6+8wpYtWxgwYAAzZswgNjaWqKgokpKSsLW1rdL19ejRg+DgYDZv3szIkSOZOXMmmzdvZvXq1fj5+bFnzx6GDBlCkyZNCAsLAzArpiTvESNG8NNPP5GQkMDo0aPx8vJi1KhRVcqxLsmRqXpK0ViRd+okpJ4k54NJFBz4vHSMooCtm7HWlCzcKUmS9D8DBgwgJCSEOXPmlNp3+fJlwsPDadu2LUFBQXz22Wf3da6bN2+i1+txc3Mz2e7m5kZKSkqNxpQnODiYmTNn4ufnR0xMDDY2Nri6ujJq1Cj8/PyYPXs2aWlpnDxZvSkhrVu35tKlS2RnZ7N8+XI++OADIiMj8fHxYfjw4QwZMoS1a9cCmBVTwtPTk9jYWPz9/Rk8eDDjx48nNja2WjnWFTkyVU+p7OyxsLfHUJgHVFIeIedc8d/lyJQkSQ+IykbNk0derbNzV9eSJUvo0aMHU6ZMMdmuVqtZsWIFISEhpKam0r59e5588kns7OzuK9d7J7gLIUptq6mYewUFBRn/rlKpcHFxITAw0LitpIOWmlq9X7xLckhMTCQvL4+IiAiT/QUFBbRr1w7ArJgSXbp0Mbm20NBQli1bhl6vR6UqY75wPSQ7U/WYWqtFf6V48mR5S8ootlpEplyfT5KkB0tRlCrfaqsPHn/8cSIjI5kxYwbDhw83bnd3d8fdvbj8jFarxdnZmfT09Gp3plxdXVGpVKVGj1JTU42dmJqKKY+lpen3p+SJvD++B6r9VN7Zs2fx9vY2Hv/tt9/StGlTkxiNRmNyjopi/kzkbb56zNJNh76wuFcucjIRedmlg/64pEzRDYSQj65KkiT90eLFi/nmm2/KnXOUkJCAwWDA09Oz2uewsrKiQ4cObNu2zWT7tm3b6Nq1a43G1IUdO3Zw6tQpBg4cSNu2bdFoNCQlJeHr62vyKvkamhNT4tChQ6Xe+/n5NZhRKajjztTcuXON9SxKXjqdzrhfCMHcuXPx8PDAxsaG8PBwzpw5Y9JGfn4+48ePx9XVFTs7O55++mmuXLliEpORkUFUVBSOjo44OjoSFRXFrVu3auMS74taqwVhgbC429Mva3SqZLHjnC5Y+G+u5QwlSZLqv8DAQAYPHsw777xTal9aWhpDhw5l3bp1FbZx584dTpw4wYkTJwC4ePEiJ06cMClXEB0dzfvvv88HH3zA2bNnmTx5MklJSYwZM6bGYx6k/Px8UlJSuHr1KseOHWPhwoU888wz9O3bl6FDh+Lg4MDUqVOZPHkycXFxnD9/nuPHj/Puu+8SFxcHYFZMicuXLxMdHc0vv/zCJ598wjvvvMPEiRNr5VprSp3f5nvkkUf48ccfje//2BNdunQpy5cvZ+PGjbRq1Yr58+cTERHBL7/8goODAwCTJk3im2++4dNPP8XFxYUpU6bQt29fjh49amxr0KBBXLlyhfj4eABGjx5NVFQU33zzTS1eadWp3Yo7lgaDFSryMWQko3L3NYlRbLUIFLgNio1/XaQpSZJU782bN49///vfJtvy8/MZMGAAMTExlY76JCQk0L17d+P76OhoAIYNG2YsF/D888+TlpbGG2+8QXJyMgEBAXz33Xd4ef3vSeyainmQ4uPjcXd3R61W4+TkRHBwMG+//TbDhg3DwqJ4DGbevHlotVoWLVrEhQsXaNy4sbGMQglzYgCGDh1Kbm4unTp1QqVSMX78eEaPHl0r11pjRB2aM2eOCA4OLnOfwWAQOp1OLF682LgtLy9PODo6ijVr1gghhLh165awtLQUn376qTHm6tWrwsLCQsTHxwshhEhMTBSAOHTokDHm4MGDAhA///yz2blmZmYKQGRmZlblEu9L/u+XxO8jXxI3Z70gsuY/JfL2bSoVY0j/RRR93EkUfRFZa3lJkvTnl5ubKxITE0Vubm5dp/JAGAwG8cILL4g5c+bUdSoPtbCwMDFx4sT7bqein9fa+Pyu8zlT586dw8PDA29vb1544QUuXLgAFA+hpqSk0KtXL2OsRqMhLCzMeN/76NGjFBYWmsR4eHgQEBBgjDl48CCOjo507tzZGNOlSxccHR0rrNmRn59PVlaWyau2qbXFkw3zb6mwemwIap/2pYNKCneqUjEkv4u4c7QWM5QkSWqY9u/fz6ZNm9iyZQshISGEhIRw6tSpuk5LaqDq9DZf586d+fDDD2nVqhXXr19n/vz5dO3alTNnzhifZCir1sbvv/8OQEpKClZWVjg5OZWKKTk+JSUFrVZb6txarbbCmh2LFi3iH//4x31d3/2ysLZG1bgxRbdugWdnVO7epYOsHMHCChyyESlvAXoU+w61naokSVKD0q1bN7nWnFRj6rQz1adPH+PfAwMDCQ0NpWXLlsTFxdGlSxegerU27o0pK76ydmJiYoz3xAGysrLu60mP6lJr3dDfukXR9etovEt3pooLd2qhKLN4gyzcKUmSJDUQu3btqusUakSd3+b7Izs7OwIDAzl37pzxqb6Kam3odDoKCgpKLWR5b8z166XrL924caPCmh0ajYZGjRqZvOqC2s0NEBT+nkjhz/sRRQWlg/5QHkHIwp2SJEmSVKvqVWcqPz+fs2fP4u7ujre3NzqdzqTWRkFBAbt37zY+ddGhQwcsLS1NYpKTkzl9+rQxJjQ0lMzMTA4fPmyM+emnn8jMzKzTmh3msnRzAxQszn9D3heLMKRfKxWj2Pyh1pQcmZIkSZKkWlWnt/mmTp1Kv379aN68OampqcyfP5+srCyGDRuGoihMmjSJhQsX4ufnh5+fHwsXLsTW1pZBgwYB4OjoyIgRI5gyZQouLi44OzszdepUAgMDeeKJJwBo06YNvXv3ZtSoUcb1gEaPHk3fvn3x96//pQTUd0fPDAYrVEohhvRrqLQtTINs79aaArmkjCRJkiTVsjrtTF25coW//e1v3Lx5kyZNmtClSxcOHTpkrKUxffp0cnNzefXVV8nIyKBz58788MMPxhpTALGxsajVap577jlyc3Pp2bMnGzduNKlX9dFHHzFhwgTjU39PP/00K1eurN2LrSbLu0/06fNAZVPOsjImVdDTEYYCFAurWsxSkiRJkh5eihBC1HUSDUFWVhaOjo5kZmbW6vwpUVjI5bGvYO14G5vG2Vi26431k+NMY67sxrB3GvhngiKwaLsdRVP7k+UlSfrzyMvL4+LFi3h7e2NtbV3X6UhShSr6ea2Nz+96NWdKKk2xtETl7ILh7hp95S4pgwI33LFouw2smtVukpIkSZL0EJOdqQbA0s0NfVEFnamSwp3peWDZtNLSEZIkSZIk1RzZmWoA1G5uGAqLp7eJzBuIokLTAGsnUFSAgNy02k9QkiRJkh5iVZ6AfunSJfbu3culS5fIycmhSZMmtGvXjtDQUHlf/QGxdHNDGBQKbVrj8ORfS+1XFIvi0amca4jr6xCq2yjNl8gRKkmSJEmqBWZ3pj7++GPefvttDh8+jFarpWnTptjY2JCens758+extrZm8ODB/P3vf6+1la0fFsVr9CnkZ9nh3Lqc2lg2TSD7GiLzE6AIRTcWNPL7IEmSJEkPmlm3+dq3b8/y5csZMmQIly5dIiUlhaNHj7Jv3z4SExPJysriq6++wmAw0LFjRz777LMHnfdDpaTWVFHqdUQ5a0kptncnoSvFleNFtlywU5Kkh9fly5cZMWIEHh4eWFlZ4eXlxcSJE0lLq/5UiD179tCvXz88PDxQFIUtW7aUilm1apXxibIOHTqwd+/eBxbzIAwfPhxFUVAUBUtLS9zc3IiIiOCDDz6QaxlWwKzO1Lx580hISGDcuHE0b9681H6NRkN4eDhr1qzh7NmztGjRoqbzfKipXVxApQJDHgXHfqTo4onSQSWT0A13F33OOVlr+UmSJNUnFy5coGPHjvz666988skn/Pbbb6xZs4bt27cTGhpKenp6tdrNzs4mODi43DqFmzZtYtKkSbz++uscP36cxx57jD59+pCUlFTjMQ9S7969SU5O5tKlS2zdupXu3bszceJE+vbtS1FRUa3k0OAIySyZmZkCEJmZmXVy/qszZ4jkSX8TWfOfEtkfzy61X3/2Y1H0cSdRdHCQKDrmJ4p+eb4OspQk6c8iNzdXJCYmitzcXJPtRbn55b70+QXmx+aZF1sdvXv3Fs2aNRM5OTkm25OTk4Wtra0YM2ZMtdr9I0B8+eWXJts6depUqu3WrVuL1157rcZj7hUWFibGjRsnJk6cKBo3biy0Wq1Yu3atuHPnjhg+fLiwt7cXPj4+4rvvvqvwuoYNGyaeeeaZUtu3b98uAPHee+8ZtxkMBrFkyRLh7e0trK2tRVBQkPjss89MjqssJiwsTIwdO1aMHTtWODo6CmdnZ/H6668Lg8FQYZ73Ku/nVYja+fyu8gT0Hj16EBYWxpw5c0y2Z2RkMHDgQHbs2FEjnTzJlFrrRlFG8W8lhowy1uez1SIAcgRogJxEhChCUeq0yL0kSX8yJ/rPKXdfo7/44zdvuPH9yefnY8gvLDPWPtAb/zdHG9+fHraUoszsUnEd4hdVKb/09HS+//57FixYgI2Njck+nU7H4MGD2bRpE6tWrarRh3QKCgo4evQor732msn2Xr16ceDAgRqNKU9cXBzTp0/n8OHDbNq0iVdeeYUtW7YwYMAAZsyYQWxsLFFRUSQlJWFra1ul6+vRowfBwcFs3ryZkSNHAjBz5kw2b97M6tWr8fPzY8+ePQwZMoQmTZoQFhZmdkxcXBwjRozgp59+IiEhgdGjR+Pl5cWoUaOqlGNdqnJphF27drFy5Ur69+9Pdvb/fvBLFiGWHow/1poSmakI/T1DrSW3+W7fAQs7EHmQ91stZylJklS3zp07hxCCNm3alLm/TZs2ZGRkcOPGDS5fvkx4eDht27YlKCjovub73rx5E71ej9vdOa4l3NzcSElJqdGY8gQHBzNz5kz8/PyIiYnBxsYGV1dXRo0ahZ+fH7NnzyYtLY2TJ6s3DaR169ZcunQJKL7luXz5cj744AMiIyPx8fFh+PDhDBkyxLgOrjkxAJ6ensTGxuLv78/gwYMZP348sbGx1cqxrlRr2OLHH3/k5ZdfpkuXLnzzzTdyjlQtUGvdEHoLBBYoBj0i6waKk/v/Ako6U7k3weYRyDkO+b+DTeu6SViSpD+lkC3/KHefYmE60hO0aWb5sfeMCgXETb+/xMwk7q6gpigKarWaFStWEBISQmpqKu3bt+fJJ5/Ezs6u2u3fe11CiFLbairmXkFBQca/q1QqXFxcCAwMNG4r6aClpqZWchVl+2MOiYmJ5OXlERERYRJTUFBAu3btzI4B6NKli8m1hYaGsmzZMvR6vck6u/VZtTpT7u7u7N69m5deeom//OUvfPbZZ+X+FiDVDEu34vIIBoMlKot8DOnXsPhjZ8raBRQLEHoUtxkoDr5ysWNJkmqcytr8/1ceVGxFfH19URSFxMRE+vfvX2r/zz//jJOTE66uriiKgrt78f+jWq0WZ2dn0tPTq9WZcnV1RaVSlRo9Sk1NNXZiaiqmPJaWlibvS57I++N7oNpP5Z09exZvb2+TNr799luaNm1qEqfRaMyO+bOo8m2+km+GRqPho48+YuLEifTu3ZtVq1bVeHLS/5SUR9Dn3f3HcM+yMoqFGuw8iv+ekyU7UpIkPZRcXFyIiIhg1apV5ObmmuxLSUnho48+4vnnny81ypOQkIDBYMDTs3qLxFtZWdGhQwe2bdtmsn3btm107dq1RmPqwo4dOzh16hQDBw4EoG3btmg0GpKSkvD19TV5lXwNzYkBOHTokMm5Dh06hJ+fX4MZlYJqjEyVDJGWmDlzJm3atGHYsGE1lpRUmqpxYxQrKwyFxf3fstboU1wDEHeuIG6eRnHvUtspSpIk1QsrV66ka9euREZGMn/+fLy9vTlz5gzTpk2jadOmLFiwwCQ+LS2NoUOH8v7771fY7p07d/jtt//NRb148SInTpzA2dmZ5s2bEx0dTVRUFB07diQ0NJR169aRlJTEmDFjjMfUVMyDlJ+fT0pKCnq9nuvXrxMfH8+iRYvo27cvQ4cOBcDBwYGpU6cyefJkDAYD3bp1IysriwMHDmBvb8+wYcPMioHimmDR0dG8/PLLHDt2jHfeeYdly5bVyrXWmKo+/nfp0iWh1+tLbT916pTYuHHj/T1bWI/VdWkEIYS4Nne2uPJqlLgT/y+hT79War/+l38Xl0fYOVHor74pis4+Iwx3TtRBppIkNXQVPWreEFy6dEkMHz5c6HQ6YWlpKTw9PcX48ePFzZs3TeLy8vLEY489Jj788MNK29y5c6cASr2GDRtmjHn33XeFl5eXsLKyEu3btxe7d+8u1U5NxfxRWFiYmDhxosk2Ly8vERsba7KNMko6/NGwYcOM16VWq0WTJk3EE088IT744INSn/0Gg0G89dZbwt/fX1haWoomTZqIyMhIk1wriwkLCxOvvvqqGDNmjGjUqJFwcnISr732WoMrjaAIcc9Qk1SmrKwsHB0dyczMpFGjRnWSw43Vq8g9dpTGz79AoyciSu0X6WcxfD8crBpBSAvI2o3SbCYWTYbWeq6SJDVseXl5XLx40ViF+89ICMGgQYPw9/dn7ty5dZ3OQyk8PJyQkBBWrFhxX+1U9PNaG5/fZt/m++tfSy+wW5bNmzdXOxmpYpZubuQCRdevlx3Q2A9UGijIQlF5Fdedyj4FTWoxSUmSpAZi//79bNq0iaCgIOPSMP/85z9NnoCTJHOY3ZlydHQ0ef/xxx/Tr18/HBwcajwpqWwlk9ANyYkU/PQl6oAeWNj97/uiWKjBuTXc+C8iv/hJCZEj1+iTJEkqS7du3eR6c1KNMLsztWHDBpP3n3/+OUuXLsXHx6fGk5LKZnm3M6XO+Zn8H09iofXGwjvEJEZxCUDc+C9kZRd/d/MvIvR3UFT2tZ+wJEmSJFVg165ddZ1CjahyaQSp7qi1d8sj5JeURyhdDVdxDSj+y83zYNUUEJBzurZSlCRJkqSHjuxMNSAWDg4oNjYYikrKI5Reow+Xu52pzN/Aui0AIqd6SwdIkiRJklQ52ZlqQBRFwVLrhqGw+O6sKKvWlK0WbN1AGFBoAlaeoFiWipMkSZIkqWaYPWfq66+/NnlvMBjYvn07p0+b3kJ6+umnayYzqUxqNzcKUn8Byi7cCXfnTeVcR+S1QPXI3FrMTpIkSZIePmZ3pspa4+jll182ea8oCnq9/r6TksqndnMj71hxiX1DenLZi1+6BsDl7ZB2pg4ylCRJkqSHi9mdKfn4aP1g6eaGoUiFAJSifMSddBQHF5MYxSWguMZU2um7y/8IEIUoFn+uhSUlSZIkqT6Qc6YamOIn+hRy7nhg+9IKFNsyqrk6tQILNeSlIy4vw3DqL4jra2s9V0mSJEl6GJjVmTp48KDZDWZnZ3PmjLy99KCU1JoquKlHcWqKoio9uVxRW0PjVgCI3AzQ35bFOyVJkiTpATGrMzV06FAiIiL497//zZ07d8qMSUxMZMaMGfj6+nLs2LEaTVL6HwtbWyzuVp0vup5abpyx3tSdouI/c04hl2GUJEmSpJpn1pypxMRE1q5dy+zZsxk8eDCtWrXCw8MDa2trMjIy+Pnnn8nOzuavf/0r27ZtIyAg4EHn/VCzdHOjMDeDgiNfo2T4YxnSq3SQSwDwb0i7Dk3UUJQOBVdB06zW85UkSZKkPzOzRqYsLS0ZN24cP//8Mz/99BOjR48mICCApk2bEh4eztq1a7l69SofffSR7EjVArWbGyrLIsQv31Nw9NsyY4wjUxm/gU3xLT/krT5Jkh4Cw4cPR1EUFi9ebLJ9y5YtpZ9+NtOiRYv4y1/+goODA1qtlv79+/PLL7+Uilu1ahXe3t5YW1vToUMH9u7d+8BiHoSSr52iKFhaWuLm5kZERAQffPCBfBCtAlWegN6+fXsmTpxIbGwsa9asYf78+QwcOBBnZ+cHkZ9UBrXWDX1R8aCiISO57Nt3dh6gcQJDIVgUj0bJeVOSJD0srK2tWbJkCRkZGTXS3u7duxk7diyHDh1i27ZtFBUV0atXL7Kzs40xmzZtYtKkSbz++uscP36cxx57jD59+pCUlFTjMQ9S7969SU5O5tKlS2zdupXu3bszceJE+vbtS1FRUa3k0NDIp/kaoD+WRyA/B5GTVSpGUZTielMABdaA7ExJklR9QggM+fl18qrOfM8nnngCnU7HokWLauT64+PjGT58OI888gjBwcFs2LCBpKQkjh49aoxZvnw5I0aMYOTIkbRp04YVK1bg6enJ6tWrazzmXuHh4YwfP55Jkybh5OSEm5sb69atIzs7mxdffBEHBwdatmzJ1q1bK71WjUaDTqejadOmtG/fnhkzZvDVV1+xdetWNm7cCBT/PCxduhQfHx9sbGwIDg7m888/N2nHnJjw8HDGjRvHuHHjaNy4MS4uLsycObPBzfE1u86UVH+o3dxAKAi9CkWlR2RcAzvHUnGKSwDi6l7Iygftoyj2neogW0mS/gxEQQFXxr1aJ+dutnIViqZqdfJUKhULFy5k0KBBTJgwgWbNana+aGZmJoDxrkxBQQFHjx7ltddeM4nr1asXBw4cqNGY8sTFxTF9+nQOHz7Mpk2beOWVV9iyZQsDBgxgxowZxMbGEhUVRVJSEra2tlW63h49ehAcHMzmzZsZOXIkM2fOZPPmzaxevRo/Pz/27NnDkCFDaNKkCWFhYQBmxZTkPWLECH766ScSEhIYPXo0Xl5ejBo1qko51iU5MtUAqZtoAdAXlCx4nFJmnFKy6PHNy6h8N2Che6VW8pMkSaoPBgwYQEhICHPmzCm17/Lly4SHh9O2bVuCgoL47LPPzG5XCEF0dDTdunUzzhO+efMmer0et7vla0q4ubmRkpJSozHlCQ4OZubMmfj5+RETE4ONjQ2urq6MGjUKPz8/Zs+eTVpaGidPnjT7Wv+odevWXLp0iezsbJYvX84HH3xAZGQkPj4+DB8+nCFDhrB2bXFNQ3NiSnh6ehIbG4u/vz+DBw9m/PjxxMbGVivHuiJHphogC40GlZMThqIsoBBDxrWyA13aAApkJyNyb6LYuNZmmpIk/YkoVlY0W7mqzs5dXUuWLKFHjx5MmTLFZLtarWbFihWEhISQmppK+/btefLJJ7Gzs6u0zXHjxnHy5En27dtXOtd7JriXteRXTcXcKygoyPh3lUqFi4sLgYGBxm0lHbTU1PLL6lSkJIfExETy8vKIiIgw2V9QUEC7du0AzIop0aVLF5NrCw0NZdmyZej1elQqVbVyrW1V7kxdvHgRb2/vB5GLVAVqNzf0164AFSx4bGkHji0h8zdIO4NwC4SidBQb39pMVZKkPwFFUap8q60+ePzxx4mMjGTGjBkMHz7cuN3d3R13d3cAtFotzs7OpKenV9qZGj9+PF9//TV79uwxuXXo6uqKSqUqNXqUmppq7MTUVEx5LC1NiziXPJH3x/dQ/eXhzp49i7e3t/H4b7/9lqZNm5rEaO7+jJgT82dS5dt8vr6+dO/enX/961/k5eU9iJwkM1hq3SjItkbv8zTWvcaUG6e4PgKA4cZXGE53wZD0WrmxkiRJf0aLFy/mm2++KXfOUUJCAgaDAU9Pz3LbEEIwbtw4Nm/ezI4dO0oNKlhZWdGhQwe2bdtmsn3btm107dq1RmPqwo4dOzh16hQDBw6kbdu2aDQakpKS8PX1NXmVfA3NiSlx6NChUu/9/PwazKgUVKMz9d///pd27doxZcoUdDodL7/8MocPH77vRBYtWoSiKEyaNMm4TQjB3Llz8fDwwMbGhvDw8FJL1eTn5zN+/HhcXV2xs7Pj6aef5sqVKyYxGRkZREVF4ejoiKOjI1FRUdy6deu+c65Lajc3hF5FUZYBxca+/MCSeVO30or/zD2LMBQ8+AQlSZLqicDAQAYPHsw777xTal9aWhpDhw5l3bp1FbYxduxY/vWvf/Hxxx/j4OBASkoKKSkp5ObmGmOio6N5//33+eCDDzh79iyTJ08mKSmJMWPG1HjMg5Sfn09KSgpXr17l2LFjLFy4kGeeeYa+ffsydOhQHBwcmDp1KpMnTyYuLo7z589z/Phx3n33XeLi4gDMiilx+fJloqOj+eWXX/jkk0945513mDhxYq1ca40R1VRYWCg2b94snn76aWFpaSnatm0rli1bJlJTU6vc1uHDh0WLFi1EUFCQmDhxonH74sWLhYODg/jiiy/EqVOnxPPPPy/c3d1FVlaWMWbMmDGiadOmYtu2beLYsWOie/fuIjg4WBQVFRljevfuLQICAsSBAwfEgQMHREBAgOjbt2+VcszMzBSAyMzMrPL1PQjZJ46L30e+JK79Y06FcYZbF0TRx51E0abHRNF/O4qiY37CkH2qdpKUJKnBys3NFYmJiSI3N7euU6myYcOGiWeeecZk26VLl4RGoxF//NjLy8sTjz32mPjwww8rbRMo87VhwwaTuHfffVd4eXkJKysr0b59e7F79+5SbdVUzB+FhYWZfH4KIYSXl5eIjY0tdR1ffvllue0MGzbMeG1qtVo0adJEPPHEE+KDDz4Qer3eGGcwGMRbb70l/P39haWlpWjSpImIjIw0ydOcmLCwMPHqq6+KMWPGiEaNGgknJyfx2muvCYPBUOH13quin9fa+PyudmeqRF5enli+fLnQaDRCURRhZWUloqKixLVr18w6/vbt28LPz09s27bN5IfBYDAInU4nFi9ebHIuR0dHsWbNGiGEELdu3RKWlpbi008/NcZcvXpVWFhYiPj4eCGEEImJiQIQhw4dMsYcPHhQAOLnn382+zrrW2eqIDlZ/D7yJZEyNUrkxq8R+ptXyowzGPSi6LMexR2qxOdE0TE/ob/xcS1nK0lSQ9OQO1PmMBgM4oUXXhBz5syp61QeamV1AqujrjtT1S6NkJCQwKuvvoq7uzvLly9n6tSpnD9/nh07dnD16lWeeeYZs9oZO3YsTz31FE888YTJ9osXL5KSkkKvXv9bd06j0RAWFma873306FEKCwtNYjw8PAgICDDGHDx4EEdHRzp37myM6dKlC46OjhXW7MjPzycrK8vkVZ+oXV1BUbC0vk1hwjfor58vM05RLMCleN4U+sbFf2bL4p2SJD3c9u/fz6ZNm9iyZQshISGEhIRw6pT8v1Gqnio/zbd8+XI2bNjAL7/8wpNPPsmHH37Ik08+iYVFcb/M29ubtWvX0rp160rb+vTTTzl27BhHjhwpta/kSYayam38/vvvxhgrKyucnJxKxZQcn5KSglarLdW+VqutsGbHokWL+Mc//lHpNdQVRa1G7doEQ+EtsC7EkF72E31QvE6fSPkJsvVgBSKnejVGJEmS/iy6desm15qTakyVO1OrV6/mpZde4sUXX0Sn05UZ07x5c9avX19hO5cvX2bixIn88MMPWFtblxtXnVob98aUFV9ZOzExMURHRxvfZ2VlVfikR11Qu2kxXL4AlF8eAe5WQgdIuwnuQN5vCH0OiqpqFXAlSZIkqSbt2rWrrlOoEVXuTJ07d67SGCsrK4YNG1ZhzNGjR0lNTaVDhw7GbXq9nj179rBy5UrjatwpKSnGWiBgWmtDp9NRUFBARkaGyehUamqq8RFSnU7H9evXS53/xo0bFdbs0Gg09b4WhtrNjfyLxd9CUV7hTvjfbb7MZAiIQrFrWwvZSZIkSdLDocpzpjZs2FBm2f3PPvus1OOOFenZsyenTp3ixIkTxlfHjh0ZPHgwJ06cwMfHB51OZ1Jro6CggN27dxs7Sh06dMDS0tIkJjk5mdOnTxtjQkNDyczMNCnf8NNPP5GZmVmnNTtqgqXWDUNhcR2OCm/zaRzBoTkAFuqeWLgMlKNSkiRJklRDqjwytXjxYtasWVNqu1arZfTo0ZWOSJVwcHAwrmlUws7ODhcXF+P2SZMmsXDhQvz8/PDz82PhwoXY2toyaNAgABwdHRkxYgRTpkzBxcUFZ2dnpk6dSmBgoHFCe5s2bejduzejRo0yrgc0evRo+vbti7+/f1Uvv15Ru7lhKCruTInsDERBLoqVTZmxiksA4nYSIu00ikfD7kRKkiRJUn1S5c7U77//XuZyMl5eXiQlJdVIUiWmT59Obm4ur776KhkZGXTu3JkffvgBBwcHY0xsbCxqtZrnnnuO3NxcevbsycaNG00qp3700UdMmDDB+NTf008/zcqVK2s017pgqXVDGCww6C2wUBkwZCSjcvMpO9g1AC59h7h5EpF9ApF3HguXgbWbsCRJkiT9CSlCCFGVA5o3b87KlSt5+umnTbZ/9dVXjB07tlT18T+LrKwsHB0dyczMpFGjRnWdDgDCYODy2FewUPJwm/EP1E29yp1UL9J/wfD9UNDYgHfx/CqLwJ9Q1E5lxkuS9HDLy8szrsVa0UNCklQfVPTzWhuf31WeM/XCCy8wYcIEdu7ciV6vR6/Xs2PHDiZOnMgLL7zwIHKUyqFYWGDZRIuhUE1R5p2Kn3Js3BJUGsjPBbVH8bac07WTqCRJkiT9iVW5MzV//nw6d+5Mz549sbGxwcbGhl69etGjRw8WLlz4IHKUKqB2K66hVZSaWmGcYqEG57tP8SnFTzGKHFmgTpIkSZLuV5XnTFlZWbFp0ybmzZvHf//7X2xsbAgMDMTLy+tB5CdVQu2mw0JdhP7Mt+RzGU338h8AUFwDEDeOQ54lqGRnSpIkSZJqQpU7UyVatWpFq1atajIXqRostVoUlQFV5i8UnkqruDNVUrzzVha4ANknzSqCKkmSJElS+arcmdLr9WzcuJHt27eTmppaqhz/jh07aiw5qXJqNx2GwruFO2/fRBTmo1iWU2y0pHhnWiq4WEDRDSi8DlZlV7KXJEmSJKlyVZ4zNXHiRCZOnIherycgIIDg4GCTl1S71G5ahEHBYCgeXTLcKl3tvYRi2wRsdWAQoG5avFGu0ydJ0p/Q5cuXGTFiBB4eHlhZWeHl5cXEiRNJS0urdpuLFi3iL3/5Cw4ODmi1Wvr3729craPEqlWrjE+UdejQgb1795Zqp6ZiHoThw4ejKAqKomBpaYmbmxsRERF88MEHci3DClR5ZOrTTz/l3//+N08++eSDyEeqIpVjYxSNNYZCFRaaIkRGMjRpXm684hqASEoBHsXCrx/YPFJ7yUqSJNWCCxcuEBoaSqtWrfjkk0/w9vbmzJkzTJs2ja1bt3Lo0CGcnZ2r3O7u3bsZO3Ysf/nLXygqKuL111+nV69eJCYmYmdnx6ZNm5g0aRKrVq3i0UcfZe3atfTp04fExESaNy/+f7mmYh6k3r17s2HDBvR6PdevXyc+Pp6JEyfy+eef8/XXX6NWV3uG0J+XqCJ3d3fxyy+/VPWwBi8zM1MAIjMzs65TKeXaP+aImzF/FVnznxL5hzZXGKs/+7Eo+riTKNo9pZaykySpIcrNzRWJiYkiNzfXZLshP7f8V2G++bEFeWbFVkfv3r1Fs2bNRE5Ojsn25ORkYWtrK8aMGVOtdu+VmpoqALF7924hhBCdOnUq1Xbr1q3Fa6+9ZnxfUzH3CgsLE+PGjRMTJ04UjRs3FlqtVqxdu1bcuXNHDB8+XNjb2wsfHx/x3XffVXhNw4YNE88880yp7du3bxeAeO+994zbDAaDWLJkifD29hbW1tYiKChIfPbZZybHVRYTFhYmxo4dK8aOHSscHR2Fs7OzeP3114XBYKgwz3uV9/MqRO18fle5ezllyhTeeustVq5cKScu1xOWbjr0v50F8itcow/ujkwB3DwtJ59LklRld978v3L3qVp2xPaFuf+LXTEYCvPLjm0egG3UYuP77HdfQuRklYpzeP0/VcovPT2d77//ngULFmBjY7q8lk6nY/DgwWzatIlVq1bd9/9/mZmZADg7O1NQUMDRo0d57bXXTGJ69erFgQMHAGospjxxcXFMnz6dw4cPs2nTJl555RW2bNnCgAEDmDFjBrGxsURFRZGUlIStbdXWZ+3RowfBwcFs3ryZkSNHAjBz5kw2b97M6tWr8fPzY8+ePQwZMoQmTZoQFhZmdkxcXBwjRozgp59+IiEhgdGjR+Pl5cWoUaOqlGNdqnJnat++fezcuZOtW7fyyCOPYGlpabJ/8+bNNZacZB61Vkvez3cXPL59s+JgJ3+wsIT8DETKxwj9JRTtcBSrprWQqSRJ0oN17tw5hBC0adOmzP1t2rQhIyODGzdukJ+fT1RUFKmpqajVambNmsWzzz5r1nmEEERHR9OtWzcCAgK4du0aer0eNzc3kzg3NzdSUlIAuHnzZo3ElCc4OJiZM2cCEBMTw+LFi3F1dTV2SmbPns3q1as5efIkXbp0Mes6/6h169acPFk8zzY7O5vly5ezY8cOQkNDAfDx8WHfvn2sXbuWsLAws2IAPD09iY2NRVEU/P39OXXqFLGxsX/uzlTjxo0ZMGDAg8hFqia1m46CbA1K01C0z86oMFZRWYFTK0g7g7jxIegvgrUPiuvfailbSZIaMvtpn5e/08L0mSb7SR+VH3vPqJDd2A/uJy2zibsrqCmKglqtZsWKFYSEhJCamkr79u158sknsbOzq7SdcePGcfLkSfbt22ey/d7RrrLuANRUzL2CgoKMf1epVLi4uBAYGGjcVtJBS62kyHN5/phDYmIieXl5REREmMQUFBTQrl07s2MAunTpYnJtoaGhLFu2DL1eb7LObn1W5c7Uhg0bHkQe0n2wdNOCsKAoNcOsYWvFJQCRdgYKtWBxEZHxLcjOlCRJZlCszF+n70HFVsTX1xdFUUhMTKR///6l9v/88884OTnh6uqKoii4u7sDoNVqcXZ2Jj09vdLO1Pjx4/n666/Zs2cPzZo1A8DV1RWVSlVq9Cg1NdXYiampmPLce6eo5Im8P74Hqv1U3tmzZ/H29jZp49tvv6VpU9M7GxqNxuyYP4sql0YAKCoq4scff2Tt2rXcvn0bgGvXrnHnzp0aTU4yj9qtuE6UPiMDQ37Z8xNMuAYU/5muL/7zzhFEQcXDx5IkSQ2Bi4sLERERrFq1itzcXJN9KSkpfPTRRzz//POlfvFMSEjAYDDg6elZbttCCMaNG8fmzZvZsWOHsWMBxauDdOjQgW3btpkcs23bNrp27VqjMXVhx44dnDp1ioEDBwLQtm1bNBoNSUlJ+Pr6mrxKvobmxAAcOnTI5FyHDh3Cz8+vwYxKQTVGpn7//Xd69+5NUlIS+fn5RERE4ODgwNKlS8nLy2PNmjUPIk+pAip7eyxsbVGRTs7HM7EKDMeq41PlxhsroaddgubtIOc44tZWFO2LtZWyJEnSA7Ny5Uq6du1KZGQk8+fPNymN0LRpUxYsWGASn5aWxtChQ3n//fcrbHfs2LF8/PHHfPXVVzg4OBhHjxwdHbGxsSE6OpqoqCg6duxIaGgo69atIykpiTFjxhjbqKmYByk/P5+UlBST0giLFi2ib9++DB06FAAHBwemTp3K5MmTMRgMdOvWjaysLA4cOIC9vT3Dhg0zKwaKa4JFR0fz8ssvc+zYMd555x2WLVtWK9daU6rcmZo4cSIdO3bkv//9Ly4uLsbtAwYMMM7wl+6f0Bu4sPBjsn+5TNt3J6B2rHjYWe2mQ0m7gbh2liJr6wo7U9i5g7Uz5KWjWLVH5BxHZPwHZGdKkqQ/AT8/PxISEpg7dy7PP/88aWlp6HQ6+vfvz5w5c0xqTOXn5zNgwABiYmIqHflZvXo1AOHh4SbbN2zYwPDhw43neuONN0hOTiYgIIDvvvvOZO3amop5kOLj43F3d0etVuPk5ERwcDBvv/02w4YNw+IP8+LmzZuHVqtl0aJFXLhwgcaNG9O+fXtmzJhRpZihQ4eSm5tLp06dUKlUjB8/ntGjR9fKtdYURZTMxjOTq6sr+/fvx9/fHwcHB/773//i4+PDpUuXaNu2LTk5OQ8q1zqVlZWFo6MjmZmZNGrUqFbOeXrkcvKv3MD3jWE4dmpdYezN9e+Rd3Qfjk3TQG2FffQn5S8rA+j3TIOreyBkBOQtBwxYtP0RRfPgC8JJklT/5eXlcfHiRWMV7j8jIQSDBg3C39+fuXPn1nU6D6Xw8HBCQkJYsWLFfbVT0c9rbXx+V3nOlMFgQK/Xl9p+5coVHBwcaiQpCe5cyuBOSiEA2b9cqTTe0k2HoVCFUNlAUQH6pNMVxit3500paZfAIRQ0PsXr9EmSJD0k9u/fz6ZNm9iyZQshISGEhIRw6tSpuk5LaoCqfJsvIiKCFStWsG7dOqD46YA7d+4wZ84cucRMDdK42pJ9Q09jJ7h96lKl8Wo3N0BBb2iEmlyKzh9F3bJDufEl86ZE2mksQj8GCztZwFOSpIdKt27d5HpzUo2ocmcqNjaW7t2707ZtW/Ly8hg0aBDnzp3D1dWVTz755EHk+FCytNeg1jaBwtvknLtSaY0RS23xI7P5WQpqB9BfOFbxCZzbgGIBOdchPwfF1r4m05ckSZKkSu3atauuU6gRVb7N5+HhwYkTJ5g6dSovv/wy7dq1Y/HixRw/fhytVvsgcnxoNQpqjhBgyM2nIDm9wli1W/HXvjBDD4oFhrQrGG6VX+5AsbQFx5YAiOsJxX8a8hC5v9VQ9pIkSZL0cKjW0s82Nja89NJLvPTSSzWdj/QHTsEeJB+wxEpTSPYvl9F4uJQba2Ftg8rZGX16OoqrDxYODoj83HLjAZRm4Yhb5xCX4hFaDwy/vQhq5+KJ6PKWnyRJkiSZpcqdqQ8//LDC/SU1KKT75xSs41K+FVgoYEbxMutHAsjeu4cCu444/21IpfFKi96I0+/B9SMIMRUwQMFlyDkFdkGVHi9JkiRJUjXrTP1RYWEhOTk5WFlZYWtrKztTNaiRrwvZBc5kZRbyyN0lDypiExRE9t495J4+ZdY6TopDM3ANgpsn4fIelEY9ELe+RWT8B0V2piRJkiTJLFWeM5WRkWHyunPnDr/88gvdunWTE9BrmKKyoHFA8VyojJOVL/di3boNqNXob96kKCUZw+00DLcrnmulePcBQFzaiuLct/jvt75DCPmEiyRJkiSZo1pr893Lz8+PxYsXlxq1ku6fU1Dxunvpx66iz6143T0La2usW/kDkPvdGrLfHkZhwjcVHqM0fwIsLOHWbwi9DlSNoDAV7iTUzAVIkiRJ0p9cjXSmAFQqFdeuXaup5qS7nIJ0ODploj+6i/TtxyuNtwkqvj1XcDMbgKLzFZdIUKwaQdNuxW9+/xHFsRcA4ta395G1JEmSJD08qjxn6uuvvzZ5L4QgOTmZlStX8uijj9ZYYlIxpyAdBr0FCnD7zO806dulwnjrwCD49BNyf7+FpikYrp/HcCcDC3unco+xaNEHw+WdiEvfo/i8BumfI27FI5rNQlGq9cCnJEmSJD00qvxJ2b9/f5P3iqLQpEkTevTo0eBWeW4IrLX2YNcIyObO6d8rjbfUalHrdBSlpEAjd8hKRn/xOBaBPco/yL0rWDlCXhpkq1A8pqI49pIdKUmSJEkyQ5U/LWXp/dpn38YTziVTeCMDfXYeKruKFx21CQzidkoKer0DKpIpOn8Uywo6U4rKEsUrAnHuc7j0AxZd/1HTlyBJkiRJf1o1NmdKenCc2jenqKi4zlT2r5UvemwTFAxA7rUcAPQXj1f6dJ7iXbyuoriyE1GYfT/pSpIk1anhw4ejKAqLFy822b5ly5ZqFyRevXo1QUFBNGrUiEaNGhEaGsrWrVtNYubOnYuiKCYvnU5Xqq1Vq1bh7e2NtbU1HTp0YO/evdWKeRBKvnaKomBpaYmbmxsRERF88MEHcjClAlUemYqOjjY7dvny5VVtXiqDU5CO5A2WqNV6sn+5TKN2vhXGa3x9UWxsKMzIAVdrRE4WhuTzqDz8yj/IuS04NIfbSYjLu8DFHkPaJixcBqI49qzR65EkSXrQrK2tWbJkCS+//DJOTuXPGTVXs2bNWLx4Mb6+xf//xsXF8cwzz3D8+HEeeeQRY9wjjzzCjz/+aHyvuqfg8qZNm5g0aRKrVq3i0UcfZe3atfTp04fExESaN29udsyD1Lt3bzZs2IBer+f69evEx8czceJEPv/8c77++mvUajkF5F5VHpk6fvw469evZ+3atezatYtdu3axbt061q9fz/Hjx42vEydOPIB0H06ObbUUFloCcPvkpUrjFbUa67ZtAQWDawjW/adh4exR8TGKgtKipObUd4g7P0HmjxjSv7rf9CVJ+hMQQiCKcuvmJUSV833iiSfQ6XQsWrSoRq6/X79+PPnkk7Rq1YpWrVqxYMEC7O3tOXTokEmcWq1Gp9MZX02aNDHZv3z5ckaMGMHIkSNp06YNK1aswNPTk9WrV1cp5l7h4eGMHz+eSZMm4eTkhJubG+vWrSM7O5sXX3wRBwcHWrZsWWo0rSwajQadTkfTpk1p3749M2bM4KuvvmLr1q1s3LgRKP55WLp0KT4+PtjY2BAcHMznn39u0o45MeHh4YwbN45x48bRuHFjXFxcmDlzZrW+53Wpyt3Lfv364eDgQFxcnLG3n5GRwYsvvshjjz3GlClTajzJh53axhJLnRs5NwtxdHUz6xibwCByjx4l95oBx0fCzDpGadEbcWotXD8KIS8A70PmToT+DorK/j6uQJKkBk+fh+Gz8Do5tcWzu0BtU6VjVCoVCxcuZNCgQUyYMIFmzZrVWD56vZ7PPvuM7OxsQkNDTfadO3cODw8PNBoNnTt3ZuHChfj4+ABQUFDA0aNHee2110yO6dWrFwcOHDA7pjxxcXFMnz6dw4cPs2nTJl555RW2bNnCgAEDmDFjBrGxsURFRZGUlIStrW2VrrlHjx4EBwezefNmRo4cycyZM9m8eTOrV6/Gz8+PPXv2MGTIEJo0aUJYWPFnjjkxJXmPGDGCn376iYSEBEaPHo2XlxejRo2qUo51qcojU8uWLWPRokUmw6ZOTk7Mnz9fPs33ADVq501GemPy9Q5mxdsEBgJQ8Pvv6G/dMusYxd4DmrQDBCL5Ami8QeQjMrdXM2tJkqS6M2DAAEJCQpgzZ06pfZcvXyY8PJy2bdsSFBTEZ599Vml7p06dwt7eHo1Gw5gxY/jyyy9p27atcX/nzp358MMP+f7773nvvfdISUmha9eupKWlAXDz5k30ej1ubqa/FLu5uZGSkmJ2THmCg4OZOXMmfn5+xMTEYGNjg6urK6NGjcLPz4/Zs2eTlpbGyZMnK73WsrRu3ZpLly6RnZ3N8uXL+eCDD4iMjMTHx4fhw4czZMgQ1q5dC2BWTAlPT09iY2Px9/dn8ODBjB8/ntjY2GrlWFeqPDKVlZXF9evXTe4RA6SmpnL79u0aS0wy5RSo4/dNp8xaVgZA1cgRqxbeFFy6SM5PO7FyKELVtDVqr8AKj1O8n0TcOA6XtkK7p+D6SkTGf8D5mZq4DEmSGiqVdfEIUR2du7qWLFlCjx49St01UavVrFixgpCQEFJTU2nfvj1PPvkkdnZ25bbl7+/PiRMnuHXrFl988QXDhg1j9+7dxg5Vnz59jLGBgYGEhobSsmVL4uLiTOYb3zsJvqy1VM2JuVdQ0P/WVFWpVLi4uBAY+L//80s6aKmpqRW2U56SHBITE8nLyyMiIsJkf0FBAe3atQMwK6ZEly5dTK4tNDSUZcuWodfrS805q6+q3JkaMGAAL774IsuWLaNLl+ICkocOHWLatGn89a9/rfEEpWJOwTpAcOfnK9w5m4R9m8onIdoEBlJw6SJFp7ZD/iUsg3tV3pny7IE4+v8g6yKKaiQCIGs/oigDRX3/kzglSWqYFEWp8q22+uDxxx8nMjKSGTNmMHz4cON2d3d33O8uIK/VanF2diY9Pb3CzpSVlZVxAnrHjh05cuQIb731VqmRlhJ2dnYEBgZy7tw5AFxdXVGpVKVGmFJTU40dHXNiymNpaWnyvuSJvD++h+qXODp79ize3t7G47/99luaNm1qEqPRaEzOUVHMn0mVb/OtWbOGp556iiFDhuDl5YWXlxeDBw+mT58+rFq16kHkKAH2LZywdymkiUsqv6+seL29EtZ3SyTkJReXSCi6cKzSSX2KlT1K08eK31w5CTZtgCLEre+rnbskSVJdWrx4Md988025c44SEhIwGAx4enpWqV0hBPn55a+Zmp+fz9mzZ42dNisrKzp06MC2bdtM4rZt20bXrl3NjqkLO3bs4NSpUwwcOJC2bdui0WhISkrC19fX5FXyNTQnpsS9k/gPHTqEn59fgxmVgmqMTNna2rJq1SrefPNNzp8/jxACX1/fCnvz0v1TLBRsvT3gejp5v6cg9AYUVcV9YavmzbFo1IjC25ngqkbcvonhZhKqJl4Vn6tFH0TSj4jff0DpOgChWMlRKUmSGqzAwEAGDx7MO++8U2pfWloaQ4cO5f3336+wjRkzZtCnTx88PT25ffs2n376Kbt27SI+Pt4YM3XqVPr160fz5s1JTU1l/vz5ZGVlMWzYMGNMdHQ0UVFRdOzYkdDQUNatW0dSUhJjxoypUsyDlJ+fT0pKiklphEWLFtG3b1+GDh2KSqVi6tSpTJ48GYPBQLdu3cjKyuLAgQPY29szbNgwHBwcKo0pcfnyZaKjo3n55Zc5duwY77zzToObg13top3JyckkJyfTqlUr7OzsqvUYY2VF0IQQzJ07Fw8PD2xsbAgPD+fMmTMmbeTn5zN+/HhcXV2xs7Pj6aef5soV08KWGRkZREVF4ejoiKOjI1FRUdwyc1J2feLY3huDQYGiIvIu36g0XrGwKJ6ILhQM1sWP5+rPH638RO5dQOME+RlQ1AaV/2cojSPvN31JkqQ6M2/evFKfU/n5+QwYMICYmJhKR32uX79OVFQU/v7+9OzZk59++on4+HiTOUFXrlzhb3/7G/7+/vz1r3/FysqKQ4cO4eX1v19gn3/+eVasWMEbb7xBSEgIe/bs4bvvvqtyzIMUHx+Pu7s7LVq0oHfv3uzcuZO3336br776yjhaNG/ePGbPns2iRYto06YNkZGRfPPNN3h7exvbMScGYOjQoeTm5tKpUyfGjh3L+PHjGT16dK1ca01RRBV7QWlpaTz33HPs3LkTRVE4d+4cPj4+jBgxgsaNG1epN/nNN9+gUqlMiqC9+eabxiJoS5YsYcGCBWzcuJFWrVoxf/589uzZwy+//IKDQ/FTba+88grffPMNGzduxMXFhSlTppCens7Ro0eN3/Q+ffpw5coV1q1bB8Do0aNp0aIF33xj3u0yKJ547+joSGZmJo0aNTL7uJp0ffdFzs/ZgMa6EK/ogbj26ljpMTlHE7i5ZjU2HhZYWyWj8m6H7aB5lR5nOLoc8esmlOZPYPHogppIX5KkBiQvL4+LFy8aq3D/2QghGDRoEP7+/sydO7eu03lohYeHExISwooVK+6rnYp+Xmvj87vKI1OTJ0/G0tKyVJ2K559/3mS40xwVFUETQrBixQpef/11/vrXvxIQEEBcXBw5OTl8/PHHAGRmZrJ+/XqWLVvGE088Qbt27fjXv/7FqVOnjBVoz549S3x8PO+//z6hoaGEhoby3nvv8Z///Idffvml3Nzy8/PJysoyedW1xoFuFBRYAeYV7wSwbvsIqFTk3ygAQJ90ClGQV+lxivfdAp5X9iAK7iCKMhG3tlVylCRJUsOwf/9+Nm3axJYtWwgJCSEkJIRTp07VdVpSA1XlztQPP/zAkiVLShVA8/Pz4/fff692Inq9nk8//dRYBO3ixYukpKTQq1cvY4xGoyEsLMw4ifDo0aMUFhaaxHh4eBAQEGCMOXjwII6OjnTu3NkY06VLFxwdHSssgLZo0SLjbUFHR8cqT0x8EDTOtiiNHAG4fdq8r7WFjQ0aPz8MhSqElQNYqDHcTKr8QKfW0MgbDAUYkr7DcPoxDBfHIvLNOFaSJKme69atGwaDgRMnThhffywjIElVUeXOVHZ2dpmVU2/evFmtxx3LK4JW8lhoRYXLUlJSsLKyKrXu0r0xWq221Hm1Wm2FBdBiYmLIzMw0vi5fvlzla3sQ7FsXd+oKr6dhyC806xibwCBAIV9pi330J6g8WlV6jKIoxtEpft8JdsV1QUTGd9XKW5IkSZLutWvXrvu+xVcfVLkz9fjjj/Phhx8a3yuKgsFg4M0336R79+5VTqCkCNqhQ4d45ZVXGDZsGImJiSbt/5E5hcvujSkrvrJ2NBqNcWJ8yas+aNzBi8xb9hRpW4GZq5/b3C2RkPvbZURRkdnnUrx6AwqkHkOx7QaAyPi2yjlLkiRJ0p9ZlUsjvPnmm4SHh5OQkEBBQQHTp0/nzJkzpKens3///ionUF4RtL///e9A8chSSY0OMC1cptPpKCgoICMjw2R0KjU11fhkhk6n4/r166XOe+PGjUoLoNVHzsHunLltT8Fv+SiW5tXgULu5oW6ipehGKnmJZ7Ft3x4hDChKxX1pxc4N3DrA9QRERiEolpD3CyL3HIqNX01cjiRJkiQ1eFUemWrbti0nT56kU6dOREREkJ2dzV//+leOHz9Oy5Yt7zuhkiJo3t7e6HQ6k8JlBQUF7N6929hR6tChA5aWliYxycnJnD592hgTGhpKZmYmhw8fNsb89NNPZGZm1mkBtOpq1NoVC0sVBbfyyLmcadYxiqJgHVQ8FyD/4Gay14yh8Jh5DwsoLe7e6ru0Exzujk7d/LjqiUuSJEnSn1SVRqZKJnuvXbuWf/zjH/d98oqKoCmKwqRJk1i4cCF+fn74+fmxcOFCbG1tGTRoEACOjo6MGDGCKVOm4OLigrOzM1OnTiUwMJAnnngCgDZt2tC7d29GjRplLPk/evRo+vbti7+//31fQ21TWalxbO1C7rkkrmz8Ef/Z/2fWcTaBQdzZvp2i5CuobW4W15vq8GSlxyme3REJS+F2Eor1QETWTkTavxFuI1GsmlZ6vCRJkiT92VWpM2Vpacnp06crnbNkrpIiaMnJyTg6OhIUFGRSBG369Onk5uby6quvkpGRQefOnfnhhx+MNaYAYmNjUavVPPfcc+Tm5tKzZ082btxoUob+o48+YsKECcan/p5++mlWrlxZI9dQFxwfaYLtrZPcOXCUwlu9sWxsX+kx1q38UTQaCjLuYG0DRb+fROgLUVSWFR6nWNqhNAtH/P49JF8Gx1DITkBkH5edKUmSJEmiGkU7p0yZgqWlJYsXL35QOdVL9aFoZ4kr//mZK7H/wtJSj+8bw3Ds1Nqs4268+w65J47T2Pc2SlEuNkMWovYKqvQ4kXwIw66JYOWI0nsliqU9ipXH/V6GJEn12J+9aKf051LXRTurPAG9oKCA999/n23bttGxY8dSa/ItX768xpKTyuYU7M7FAkssLfXcTvzd7M6UTWAQuSdOUFRkhyW56M8fM6szhVtHsHaBvDSUjBSUZo/f5xVIkiRJ0p9HlTtTp0+fpn379gD8+uuvJvtq6vafVDHbZo3Qq+yAPLKOXYTh5h1nHVjcccq/UYhlEyg6fxRNj8oPVizUKC0iET9/jOHSd6judqZEzimwsEOx9qnehUiSJEnSn4DZnakLFy7g7e3Nzp07H2Q+khkURcGmpTtcTSPvUrJZtbcA1E5OWDZvTtGVSwAYUi9iuJ2OhYNz5eds0Qfx88dwdR+iIAtx6wvE1UXg2BOVz+r7vSRJkiRJarDMLo3g5+fHjRs3jO+ff/75Mus3SbXDsb0PQoAoKCA/Oc3s42wCgxAGC/RWbliG9AKDeUU8FadW4OgLhkLExe9QGj0OWEDmdkT2f6t5FZIkSZLU8Jndmbp3nvp3331HdnZ2jSckmce5nQeFBcVP4uX8csXs42zu3uq7fdkGTeSrWDiWXmqnPIrfQADEmY2g0qE49wfAkBxrdhuSJEm14fLly4wYMQIPDw+srKzw8vJi4sSJpKWZ/8vnvVavXk1QUJBxVYzQ0FC2bt1q3D937tzipbj+8NLpdKXaWbVqlXGidIcOHdi7d2+1Yh6E4cOHG3O3tLTEzc2NiIgIPvjgAwwGQ63k0BBVuWinVD84Bei4dasR15NdsQ00vxq5lbc3Fvb2iNxc8s+fr9I5lZZPg4Mn5Gcgzv4LRTe2uCr67QOI2z9V9RIkSZIeiAsXLtCxY0d+/fVXPvnkE3777TfWrFnD9u3bCQ0NJT09vVrtNmvWjMWLF5OQkEBCQgI9evTgmWee4cyZM8aYRx55hOTkZOPr1KlTJm1s2rSJSZMm8frrr3P8+HEee+wx+vTpQ1JSUpViHqTevXuTnJzMpUuX2Lp1K927d2fixIn07duXoiosSfYwMbszVdJTvXebVDcsG2nQNNNSVKTm1mnzb7cqFhZYBxRXQ889eQL91Z8xZJS/4LPpsWosgscCFM+f0lujuDwLFI9OVbHKhiRJDZDQ55T/MuRXITbPrNjqGDt2LFZWVvzwww+EhYXRvHlz+vTpw48//sjVq1d5/fXXq9Vuv379ePLJJ2nVqhWtWrViwYIF2Nvbc+jQIWOMWq1Gp9MZX02aNDFpY/ny5YwYMYKRI0fSpk0bVqxYgaenJ6tXr65SzL3Cw8MZP348kyZNwsnJCTc3N9atW0d2djYvvvgiDg4OtGzZ0mQkrTwajQadTkfTpk1p3749M2bM4KuvvmLr1q1s3LjRGCeEYOnSpfj4+GBjY0NwcDCff/65SVuVxYSHhzNu3DjGjRtH48aNcXFxYebMmQ3u88TsCehCCIYPH45GowGKazqMGTOmVGmEzZs312yGUrmcgnTcuZDBrZPX0YWb/0SdTVAQOYcOIs5uJefXf6Ju+xg2A/5u3sHNwsE1CG6eRJx+D6XdK4i0LyD7GGTtAcew6l2MJEkNguFkSPk7G4Whavne/2JPh4Iht+xY+06o/P71v9jE7lCUUSpM1e7XUtsqkp6ezvfff8+CBQuwsbEx2afT6Rg8eDCbNm1i1apV9zUgoNfr+eyzz8jOziY0NNS4/dy5c3h4eKDRaOjcuTMLFy7Ex6f4/+eCggKOHj3Ka6+9ZtJWr169OHDggNkx5YmLi2P69OkcPnyYTZs28corr7BlyxYGDBjAjBkziI2NJSoqiqSkJGxtbat0vT169CA4OJjNmzczcuRIAGbOnMnmzZtZvXo1fn5+7NmzhyFDhtCkSRPCwsLMjomLi2PEiBH89NNPJCQkMHr0aLy8vBg1alSVcqxLZo9MDRs2DK1Wi6OjI46OjgwZMgQPDw/j+5KXVHucgnTY2uWQtXMfuRfNG10CsHkkACwsyE0pvv9ddHY/hvRrZh2rKAoWIeMBEBe+gZxslCaDQa0FkVfJ0ZIkSQ/WuXPnEELQpk2bMve3adOGjIwMbty4weXLlwkPD6dt27YEBQXx2WefVdr+qVOnsLe3R6PRMGbMGL788kvatm0LQOfOnfnwww/5/vvvee+990hJSaFr167GeVo3b95Er9fj5uZm0qabmxspKSlmx5QnODiYmTNn4ufnR0xMDDY2Nri6ujJq1Cj8/PyYPXs2aWlpnDx5stLrLEvr1q25dOkSANnZ2SxfvpwPPviAyMhIfHx8GD58OEOGDDEu3WZODICnpyexsbH4+/szePBgxo8fT2xsw5qLa/bI1IYNGx5kHlI1OAXpsLHJQ5VbwO1TF7HxLj3RsSwWtrZofH3J//VXaOwNty5ScGgz1k+OM+t4pUlQ8QjVlV0YTryLRbd/oLhPRLGwqfRYSZIaNougE+XvVFQmby0CDlYQa/q7vEXb2im7U3L7SFEU1Go1K1asICQkhNTUVNq3b8+TTz5Z6o7LH/n7+3PixAlu3brFF198wbBhw9i9ezdt27alT58+xrjAwEBCQ0Np2bIlcXFxREdHG/fdOyJWVnkbc2LuFRT0vyLMKpUKFxcXAgMDjdtKOmipqakVtlOeP+aQmJhIXl6ecfm3EgUFBbRr187sGIAuXbqYXFtoaCjLli1Dr9ebLA1Xn1W5aKdUfzj4uVJk0AAFZB49j/bp0EqPKWETGET+r7+Sn++MhosUntyO1eODsbB3Mut4i+CxGK7uhWv74OYvKG4dqnkVkiQ1JIrK/NtDDyq2Ir6+viiKQmJiIv379y+1/+eff8bJyQlXV1cURcHd3R0ArVaLs7Mz6enpFXamrKys8PX1BaBjx44cOXKEt956y2SkpYSdnR2BgYGcO3cOAFdXV1QqVakRptTUVGNHx5yY8lhamq61WvJE3h/fA9V+Ku/s2bN4e3ubtPHtt9/StKnpOq0l04HMifmzkE/zNWAWagssPYpLG2RXoTwC/K8aeu5vKVh4+IO+kMIjX5l9vNKoOYpvfwAMJ95BCANC6DGkf4PI3F6lXCRJkmqKi4sLERERrFq1itxc0/laKSkpfPTRRzz//POlRnkSEhIwGAx4enpW6XxCCPLz88vcl5+fz9mzZ40dNisrKzp06MC2bdtM4rZt20bXrl3NjqkLO3bs4NSpUwwcWFwip23btmg0GpKSkvD19TV5lXwNzYkBTCbwl7z38/NrMKNSIEemGrxGwS3I33Me/a1M9Nl5qOzMW5DU0sMDlYsr+rSbiCbBcO0XCo5+h1XosyjW5f9W9kfKIyMQF7dC+llE0nawu4m4PAdh5YlFo8dRFMvKG5EkSaphK1eupGvXrkRGRjJ//ny8vb05c+YM06ZNo2nTpixYsMAkPi0tjaFDh/L+++9X2O6MGTPo06cPnp6e3L59m08//ZRdu3YRHx8PwNSpU+nXrx/NmzcnNTWV+fPnk5WVxbBhw4xtREdHExUVRceOHQkNDWXdunUkJSUxZsyYKsU8SPn5+aSkpKDX67l+/Trx8fEsWrSIvn37MnToUAAcHByYOnUqkydPxmAw0K1bN7Kysjhw4AD29vYMGzbMrBgorgkWHR3Nyy+/zLFjx3jnnXdYtmxZrVxrTZGdqQbOuYMXl3eoUKv1ZP96hUbtfM06TlEU7Lt2JfObr7md8BuN3It/SzBk3UBlbmfKxgWlzRDEqXWI/65C6bMBkt+GgsuItC9QXF+o9nVJkiRVl5+fHwkJCcydO5fnn3+etLQ0dDod/fv3Z86cOTg7/28Jrfz8fAYMGEBMTEylIz/Xr18nKiqK5ORkHB0dCQoKIj4+3jgn6MqVK/ztb3/j5s2bNGnShC5dunDo0CG8vLyMbZTk88Ybb5CcnExAQADfffddlWMepPj4eNzd3VGr1Tg5OREcHMzbb7/NsGHDsLD43w2tefPmodVqWbRoERcuXKBx48bGUgpViRk6dCi5ubl06tQJlUrF+PHjGT16dK1ca01RREMr5lBHsrKycHR0JDMzk0aNGtV1Oka5KbdJeG45trZ56Ab3pGnUE2Yfa8jO5upr0xF5ebi8OATb0DAUpWp3fkVRLob//B/k3kRpNwmcCxBXF4ClGxZtf0Sx+HPdF5ekh0VeXh4XL140VuH+MxJCMGjQIPz9/Zk7d25dp/NQCg8PJyQkhBUrVtxXOxX9vNbG57ecM9XA2egcEFZ2CAE5F29W6VgLOzscevQEIGv7XqDqNVcUtQ1KYPFvEOLMB9DoKbDUQeF1xM1PqtyeJElSbdm/fz+bNm1iy5YthISEEBISUqpiuSSZQ3am/n975x1nV1H+//eccuv2vpu+6SEkgQRCKFKTgNLRgAiCIqAighXwa4GvKIKN708BARFQBAQEKdIiEFoIIEkIIb2X7X1vP2V+f5y7d3eTXUjZTTabeb9eJ+fcOc95ZubePbmf+8ycZwYBgYljqN5eihi668vKdJB9ymyE34+1ZTOJ5R8hrQTW0peRrrPLPsSoz0HOKEi1wap/eMvMALL2T0hHrd+oUCgGJsceeyyu67J06dLM1jWVgEKxqygxNQjInzoUKQXNy3Y9cWcHenY2WcefAEDrs88Qve9aEv/+f9irPyE/zA4IzUCb5uWokqsfhcAx4BsOdhOy/q+73SaFQqFQHBwsWLBgr4f4BgJKTA0C8qd6yTqbP9p9MQWQM2cuwjRJbdyIKJ4AQGrhE7u3NlLFMVByOLgpWP4XRPnVEJqKCB++R21SKBQKheJAQYmpQUDepBKC4QTZ7mY23/ncbl+v5+YS/sxnAIisawfDj1uzDmfTh7vsw1tmJh2d2vg8MB5t3GOI7Jm73R6FQqFQKA4klJgaBBhhH8HSMD6/RduSDXvkI2fuaWAYJNdtQht5BACpd574lKu6IwoPQQw/BZDID+/qlhRPzZ1SKBQKxWBFialBQtYEL09UqqoO6ez+UgFGfj5ZxxwLQHSrDULD2bgUp3rdbvkRU78JmgE1i5DV7yKljVv9f7grT0VaTbvdLoVCsX9R2XMUBwJ7ukROX6GSdg4S8mdWUvfhu2g4RFZsJvvQUbvtI+e004i89SaJ1RsJH3847ub/knrnCYLnXr/LPkTWEMTYzyNXP4q79A+IOXcjW14CqxZ3y3Volfd86mKdCoVi/2OaJkII6uvrKS4uVvetYkAipSSVSlFfX4+mafh8vv3SDiWmBgn50yrYHAsQzopT98w7eySmjMIiwkfNIvr2W8TqDAIIcB2k6yC0XV8jSRzyVeSG56BlLWx5HW3k73FXnwdtryPr/4ooueTTnSgUiv2KrusMHTqUbdu2sWnTpv3dHIXiEwmFQgwfPrxbhvZ9iRJTg4TsygISbi5h4rS8tZxUQyu+otzd9pPz2c8SXfg28ZUbyb72JgKH7P7TeMKfi5h0CfLDO5DL/oQY/jhiyA3IbTchq25DZh2BCE3abb8KhWLfkpWVxdixY7Esa383RaHoFV3XMQxjv0ZPlZgaJAhNUHbaFCKvNOIPWDQ8/x4VX569237MklJCM2cSW7SI9gVv75GYAhDj5iHXPg6xWuTKh7xoVftb0PoK7qbvoI1/EqHv2hqACoVi/6HrOrq+65FpheJgRE1AH0SM+tJUIpEwsVgA38ihe+wn97OngxDEly4ltW0rbmsd9pp3d8uHMAKIqelM6Mvvg/qlaMN/CWYpJDcit/3iUzwoFAqFQnFgoMTUICK7soDsw8fT3JhHzaL6PfZjlpcTmj4DgPZ//Z3onZcTf+a3yMTupTcQI+YiRp4G0sF9+3/ActFG/Ba0MISn7nH7FAqFQqEYSCgxNciovHgaAFue/Bg7mtpjPzmfOx2A6LK1iJxSSMZILX5+t3wIIRBHXAe5lZBoxF34YwgfjnbIa2hF5+9x2xQKhUKhGEgoMTXIKDlmBOGReRCPsep/HiK6Ztse+fENHUrwsMNBQsotBcB672mkldwtP8IIoh37KzBCULcY+dE9CCMvc17abUipJrcqFAqF4sBFialBhtAElRdOIzsnQnLVWur+tXCPfeWmo1ORj6ogXICMtmAte2X325QzAnHkjwCQKx5Ebn/LO44sxl11JrL6D3vcRoVCoVAo9jdKTA1Chp09kbjjpUVoev1DrJbIHvnxjRhB4NApIMHWvQntqUVPIl1nt31pI2Yjxs0DwH3nRmSkCqxasKqQtXcj29/ZozYqFAqFQrG/UWJqEGKEfVSceRippAmOS8ML7++xr9zTzwCg/eNa8GchW2qwly/YI19i2reh8BCw2nHfuh5yTkIUzgMk7qYfIG213IxCoVAoDjyUmBqkjLpwKpFoCIC6pxci7d2PJgH4KysJTJoEDjiBUWD6YQ/X6hK6iXbML8GXC82rkYtvRwz9HwiMBrsOd/MNah0whUKhUBxwKDE1SAkPzyNnxgQcR8NuidCycMUe+8r5nBedalvegP8LN2NOPWWPfYlwGdqsmwCBXPckcvMCtBG/A+GDtteQDX/bY98KhUKhUOwPlJgaxFRefDjRSBCA2qfe3mM/gXHj8I8bD45L5J3FmfI9mTsFICpmISZ/1fPx/q/A8iOGXOe93n4rMrZyj9uqUCgUCsW+RompQUzRUcMQRRVedEoEkY67x75yT08/2ffmGzgtLdhblhO75yqcuk175E8cchmUHQlOAvfN6yH3HMg5CXJOAF/5HrdToVAoFIp9zX4VU7fccgtHHHEE2dnZlJSUcPbZZ7N69epuNlJKbrzxRioqKggGg5xwwgl8/PHH3WySySRXX301RUVFhMNhzjzzTLZt655fqbm5mYsvvpjc3Fxyc3O5+OKLaWlp6e8u7leEEIy8+AhqqoqpWbF3c5H8EybiGz0abJumRx8m9e5TuI3bSDz9G6S9+8lBhaajzfpfCBZD+2Z4/xbEyN+hjfpjtzxUCoVCoVAMdParmHr99de56qqrWLRoEfPnz8e2bebMmUM02rlsyW233cbvfvc7/vjHP/L+++9TVlbG7NmzaW9vz9hce+21PPXUUzz66KO89dZbRCIRTj/9dByncxjqwgsvZOnSpbz44ou8+OKLLF26lIsvvnif9nd/MPT0CZg5AWJbW6l9Y9Me+xFCkH/BhaDrxD/4ACd/OiKUi1u3ieSCPZvnJAL53oR0oSO3/AfW/zuz6reUErf2XqTVsMdtVigUCoViXyDkAHp8qr6+npKSEl5//XU+85nPIKWkoqKCa6+9luuu8+bUJJNJSktLufXWW7nyyitpbW2luLiYv/3tb5x/vrdESVVVFcOGDeP5559n7ty5rFy5kkmTJrFo0SJmzpwJwKJFi5g1axarVq1i/PjxO7UlmUySTHZm+25ra2PYsGG0traSk5OzD96NvuPj37zF+vv/S/G0XCZedSR5Rx+yx77aXnqRliceR5gmRV8+E/uVOwFB8Es3Y4zcs/X23FWPIJfcDpqBdvLdiKLJuNX/D1nzRwiMQxv7V4RRsMdtVigUCsXBS1tbG7m5uf36/T2g5ky1trYCUFDgfXFu3LiRmpoa5syZk7Hx+/0cf/zxLFzoZfb+4IMPsCyrm01FRQWTJ0/O2Lzzzjvk5uZmhBTAUUcdRW5ubsZmR2655ZbMkGBubi7Dhg3r287uQ0ZdOIVgOImvcQ2b73h2r+ZOZc+eQ2DyZKRl0fLCOxhTZgOSxDO/R8b3LDmoGH8BDDsJXBv37R8hky2IgrPAKIHEGtx1X0XarXvcZoVCoVAo+pMBI6aklHz3u9/l2GOPZfLkyQDU1NQAUFpa2s22tLQ0c66mpgafz0d+fv4n2pSUlOxUZ0lJScZmR2644QZaW1sz29atW/eug/uRUEUOeTMn4DoCu7GV1vdXf/pFvSA0jcKvXIaWm4tVVUW8KQuRX45sbyDx0l175lMItJn/A9nDIFbrTUjXitHGPghGIcRX4K6/DOnsmVhTKBQKhaI/GTBi6lvf+hbLli3jkUce2elcxzyaDqSUO5XtyI42Pdl/kh+/309OTk637UCm8pIZRKPpNAlP7nmaBAA9J4eir34NhCDy1kLEuM+C0MBOIe09W7RYmFmdCyLXL8FdcA3opWhjHgA9D2LLcNd/DelEP82VQqFQKBT7lAEhpq6++mqeeeYZXnvtNYYOHZopLysrA9gpelRXV5eJVpWVlZFKpWhubv5Em9ra2p3qra+v3ynqNVgpmF6BKBmKlBBZtp7E1vq98heYNImc0z4LQNMzr+A/52cEzvsRwjD32KfIG4N20h/BzIKGZbivXQP6ELQx94OeDdHFuBuvUlnSFQqFQjGg2K9iSkrJt771LZ588kleffVVRo0a1e38qFGjKCsrY/78+ZmyVCrF66+/ztFHHw3A9OnTMU2zm011dTXLly/P2MyaNYvW1lbee++9jM27775La2trxmawI4Rg1CVHkkj4Aah9uue5YrtD7hln4hs9GhmP0/TUi9Dl6ck9FTyi8BC0k+4AXw40Lsd97VtgDEMb/RfQcxAF531qVFKhUCgUin3JfhVTV111FQ899BAPP/ww2dnZ1NTUUFNTQzweBzwBcO211/LLX/6Sp556iuXLl3PppZcSCoW48MILAcjNzeWyyy7je9/7Hq+88gpLlizhoosu4tBDD+WUU7xlTyZOnMipp57K5ZdfzqJFi1i0aBGXX345p59+eo9P8g1Whnx2PEm8uWWNL/0XJ5rYK3/CMCj62hWIUIjUxg20PvM0Mh4h/tRtWO8+ted+CyZ4gsqfB00rcV+5CowRaJNeRSs4Y6/arFAoFApFX7NfxdRdd91Fa2srJ5xwAuXl5ZntH//4R8bmhz/8Iddeey3f/OY3mTFjBtu3b+fll18mOzs7Y/P73/+es88+m3nz5nHMMccQCoV49tln0XU9Y/P3v/+dQw89lDlz5jBnzhymTJnC3/52cK0Dp/sNys+ZgWXpONIgVb/3T8gZRUUUfvkSANpeeJ7YgiexV7xBcsFfcWo37LFfkT8O7aQ7wZ8PLWs8QWXbmfPSqsXdfitS2p/gRaFQKBSK/mdA5ZkayOyLPBX7gnhthFdP/TNOCo5/4kvkTizuE79ND/2NyOsL0HKyKZieg7NxMVrxcEJfvR1h+PbYr2zbhPvqVRBvgJxRXsQqkIu76ixIrEXkn4EYcRtC6J/uTKFQKBQHHQddnilF/xMszaLs5PGAYMPfl/aZ37x552MOGYLb1k6kJoQI5+HWbyH52oN75VfkjEQ7+S5v2Zm2jbivfB3iTWgV3wUMZPOzyM3XI93dX9JGoVAoFIq+QImpg5BRF08DoOr5lTS88mGf+NR8PgovvxLh85FYuRa3/FgArPeexl7/wV75FtnD0U7+E4TKoH0L7ivfAGMy2sjfATqy+WncdRcjrZ2f2FQoFAqFor9RYuogJH9KGXmTCikpqmHzrx8lsW3v0iR04BsyhPwLvghAy2uL0cZ4gir+z1uwt378SZd+KiJ7qBehCldAZJsXoTKnoI2+G/QciC7BXXUeMrp0b7uhUCgUCsVuocTUQYgQgspLZpBKenOZNv3mcWSXtAZ7Q/jY4wjNOAIch5YljegjpiL8IbRQ7l77FlkVXoQqayhEq7wIlahEG/9PCIwFuw636tcqD5VCoVAo9ilKTB2kVMwZS0yU4LqC6KqtVD+6oE/8CiEouPjL6IVFOI1NxCIVBL98G1rh0E+/eFf8h0u9CFX2CIjVeBGqpEAb9w9E4floI3+n8lApFAqFYp+ixNRBiubTGXf1Z2hp9p5sqP77K0RWbukb36EQRVdcCbpO7IPFRD/4KHPO3rAYp3rdXvkXoRJPUOWMgng97vyvQd1ytOE/R5idGe3dhseQVt8MYSoUCoVC0RtKTB3EDD/3EPKOOZRYNACuZOOvHsWJJfvEt7+ykrxzzgWg5R+P0v7Kf7C3LCf+2M+JPfzjvcpBBSCChWgn3wkFEyDVirvgWtxldyNdb7hSNr+I3Ppj3NXnIqN9M8leoVAoFIqeUGLqIEYIwdQbTybhK8e2NVK1zVQ99J8+8589Zy45p54GQPOjjxBbvgGtrBISEeIP/xinbtNe+ReBArRT7kGMOQeQyI//grvgGmS8EYLjwF8JVi3u2i/hNv5z7zukUCgUCkUPKDF1kOPLC3DYrz5Lc1MesVgAiof3mW8hBLnnnkfO6d4SMC1PPY1dcDRa+VhkrM0TVA1b964O3Y92xPWIWTeBHoDa93Ff+jK0taKNfwJyTwaZQm65AXfr/yKl1RddUygUCoUigxJTCoqOGMrIS4+luTGPj259i1hVW5/5FkKQd9bZ5J51NgCtzz6PlXcUWmklMtpC/KEf4TZu2+t6tJGnos29Pz2PqgH31auQq59CjPwDouxqAGTDQ7jrLkVajXtdn0KhUCgUHSgxpQBg3DeOJH9qGXZ7isU/eIHmd1YgXbfP/OeefgZ5n/8CAG0vvIyVcyRayUhktJnYQz/CbWvY6zpEbiXa3PsRI08F6SA//CPyresRBV9Gq7wLtDBE3vc2hUKhUCj6CCWmFABops7ht56KEfYht6xiw01/o+5fC/u0jpy5p5J3/gUAtM1/jVR4BlrRcPQRhyKy8vukDmEEEUfdiDjietB8sP1N3JcuAbscbfwTiCHXI/JPzdirhZIVCoVCsbcoMaXIEB6Wy5Sfnkgyncxz230vENtQ3ad15Jwym/wvXQRA+2tvkgzNwH/6tQit7xYqFkKgjTkHbfaf0wk+q3H/cwVyy2JE8VcydjJVg7tiDm7jkyrRp0KhUCj2GCWmFN0YevoE8k86jHjcD47LxlsexU317aTt7BNOpODLl4IQRN54m+aH/450XaTrkHztQdy2vskNJQrGo819EIaeAK6F/OA3yIU/QVpRAGTd/ZDahtxyPe76ryKTezcZXqFQKBQHJ0Kqn+S7RFtbG7m5ubS2tpKTk7O/m9OvWJEkb3z+b2Q7G9F1l+Kzjmb4N87o83qi7yyk8f6/gJSEZx1NeKSG9c4/EVkFBM75IcbwyX1Sj5QSufpR5NI/gHQgayjaEddB6WHIuvuR1X8AmQQtiCi/BlH8ZYQw+qRuhUKhUOxf9sX3t4pMKXbCzPJz+G2n09LiradX//RCWv+7ps/rCc86msKvXQ6aRvSdhUTWtKEVDUNGmog/9CNS7/yzT4bfhBBoE76IdsrdECrxFkp+7WrkwhsR2eegTXgWsmaCG0du/xXumnnI+Ko+6KFCoVAoDgaUmFL0SP6UMkZefgKR9hDgLYbc18N9AOEjZ3ZZemYZMXcixqTjQbokX72fxBO/QCYifVKXKDoU7bRHEOPmgdCQW/6D++95yE3vICr/ghh2M+jZEFuObHqmT+pUKBQKxeBHiSlFr4y9bAbGmAkk4j7aUyX0159LaPoMir7xTTAM4os/pG0DmCd8FXQDe80iovddg1Ozd8vPdCB8WWjTv4c25wEoPATsGHLJ7ciXL0XICWgTX0AUfQlRfnXmGumm+qRuhUKhUAxOlJhS9IrQNQ6/9VTaUuU0rY6x6g/v9FtdoanTKL7qWwifj+SqVTT88030476OyCtFRlpA69s/VVEwHm32nxFH3AC+HGhZh/ufy5GL70WUXIPQggBI6eCuuxhnw1XI+No+bYNCoVAoBgdqAvoucjBNQN+Rqvnr+O+1/wZgxq0nkj+ljODwkn6py6qqouGeP2Ft3w5A9iknkjV9IuaY6RkbKV2E6DtxJZMtyKV3IDekh/Z8OYhp30JUngGR93DXXQq4gEDkn4ko/zbCP6zP6lcoFApF/7Evvr+VmNpFDmYxBfDhja9Q8+wHFBa1YOQEGffLrxIaO6Rf6nJTKVoe/weRBQsA8I0aRdHlV2IUF+NsW0nixbsInP0D9KK+FTSyfhnuf2+FlnVeQeFk76m/gIZb83/Q8pJXLkxE4TxE2TcQZv+ISoVCoVD0DUpMDSAOdjFlxy3e/MLfCMQ24vPZaEE/Y2++lKxDRvZbnbHFH9D44APIWAwRDJL/pYsQKx7DrVoDZoDA567GPOT4Pq1TujZyzePIj+4BOwZCQ4z9POKQr4C7Hbfq99D+lmcsAmjjn0QEx/RpGxQKhULRdygxNYA42MUUQGRjM+9c9gRhdyv+gIXwmYz52UXkTB/Xb3XajY00/vkekuu8aFH4qBkEzM24W5cDYM44Hf/JlyEMs0/rlbE65JL/Q275j1egBxBjz0VMuAjsdbhVvwVstHH/RAjhXSNl5lihUCgUAwMlpgYQSkx5xKraeOeyfxKIbSIQTIGuU3nDBeQf2zcJNntCOg6tzz1L27+fAykxysrIO6Ic56MXAdBKKwmc+g30oRP7vu6a93GX3QWNH3sFuh8x5jyY8CWET0cY+ek2RnDXXIAomocovACh+fq8LQqFQqHYfZSYGkAoMdVJoiHKoiueQm9YTyiUACEY96uvkT21sn/rXbWKxvvuxWlpAcMg/5QZsPlViLcDELrs/9DLRvd5vVJKqF6Eu/zeHUTVuYiJFyOChbh19yO33+Kd8w1BFF+KKDwPoWf1eXsUCoVCsesoMTWAUGKqO1Z7kne/+TTuxlXopsvon1xM2Ul9L2R2xGlvp/GB+0ks+xCA4JSJhIcJSEYIzvtpvw6zSSmh5l3cj+6FRm+Y0RNV58CEL0LsNWT1HWDXeee0MKLwC4jiixD+4f3WLoVCoVD0jhJTAwglpnbGSdj89zv/pvaNjQhD57BfzGbI58b3+7whKSXtr/yHln8+AbaNlp1D7llnknXc8QhNw422kvjnL/AdfxHGiCn9Uj817+Iu/zM0fOQVdoiq8V+A+FvIugcgmU40Kky0yW9lhgQVCoVCse9QYmoAocRUz7iWw9Kf/Idtz64CJJUnZ5M3bQhDvjK330VVavNmGv58L3ZNNQDm0KHkz7sAtr6B9f6zABiTPoP/5K+i5RT1ef2eqHovLaqWeYW6HzH6LBg3DyE34dY9gNCz0Ubd3nld29uQdYSaV6VQKBT7ACWmBhBKTPWOdCXLf/U62x9/n+LSJgCKPnskw791FqKPM5fvVLdt077gNdqefQY3FgMgOGUS4SHgrHodpAtmAN+xF+CbeRZC79un/iAtqmrf94b/OkQVAipmoY05D1k2A00PeLaJDbgrTwWjCFF0IaLoiwizsM/bpFAoFAoPJaYGEEpMfTJSStbc9S5bH3iNvPw2hID8E6cx6nufRxh6v9fvRCK0PvsMkQWvgeuCrpN99DR89jrc6jUAiIIhBOZcgTF6+qd42zMyomrVw1DdZemdcIU3WX30GZBcjrvlBrBqvXPCh8g/A1F0PoSmqtQKCoVC0ccoMTWAUGJq19jw96Ws//2L5Be2IgTkzpxI5f98Ec3X9xGhnrCqq2h+/DESH3lzmbSsMLlHjUNUL0JGWzCnf47Aqd/o93bI9q3IdU8iNzwHqTavUPMhhp8MY84CfTuy/gGILeu8yD8KrfJORKD/J/IrFArFwYISUwMIJaZ2nW3PrWLFTc9QUNCMEBAYWUbldecTHFW2z9oQX76clsf+gVVdBYBZXkr25ALCZ1yJCGYD4FSvQ6bi6MMn91tESNoJ5Jb5yLVPQNOqzhP54xFjPw/FpdD0BLL15fRE9bcRmt+7Nr4afEMRerhf2qZQKBQHA0pMDSCUmNo9ahZsYNl1T5GX04imS4Z863zKT5+2T9sgHYfIm2/Q+vS/cCMRAAKTDyX/C/MwKyqIPfwTnI1L0IZMwH/MPPQxR/RvaoXGFci1TyA3zwc35RWa2YjKz8GIk8DvoGUd7tlKibtyDlj1iLy5iIJzIOvIPl3gWaFQKA4GlJgaQCgxtfs0frCd/37nGbR4K/FEiDGXHs74bx2FtCyMrOA+a4cbi9H63LO0v/oKOA4IQXDKFELFUdyN74FjAaCVjMR39BcwJh6L0PpvnpdMtiI3PItc9yREtneeyK1EjJiLGDEH/Dru2osgubnzvFmBKDgLUXAOIjCy39qnUCgUgwklpgYQSkztGamWOB/d8jrbn1sNQM7IEDnGVsq/eBJlXzgOoff/5PQOrNpaWp58gvjixZkyf+UwwiP8yO2LIRUHQOSX4z/pUswJx/Rre6R0vczq65+GqrfBtTpPFk6GEXMQRcUQfRXZ/Dy4kcxpUf4dtLL+n/ulUCgUBzpKTA0glJjaO2pe3cCHN72C36olOycKQGjsEEb+YB7B4SX7tC1WdTVt818i+s47YNsAGCWFZE/Ig/qPIN5O4HPfxpw2Z5+1SabakdsWIDe9DHX/9VI6AAgNSo+A4Sciclxk6/PQ/jba6PsQOZ7Yk7GPkC0vIXJnQ2iKeiJQoVAouqDE1ABCiam9J9WS4KNfvU7zK0vIzW9D0yQYOkO/MpeSs49B6Pt2PpDT2kr7q68QWfBaJkeVlhUie0oF4XO+jpHnZSxPLX4Bt2EL5tQ56KWj+r1dMt6A3PIf5OaXO9cCBNB8MOQYxLBZUHESmulNpHe3/dJ7MhDALEXkzkbkzfYSgwqj39urUCgUA5lBL6beeOMNfv3rX/PBBx9QXV3NU089xdlnn505L6Xkpptu4p577qG5uZmZM2dyxx13cMghh2Rskskk3//+93nkkUeIx+OcfPLJ3HnnnQwdOjRj09zczLe//W2eeeYZAM4880z+8Ic/kJeXt8ttVWKq76h9fSMf3fQyQaeKQNCbiB0aP4xRP5xHYEjfZyr/NNxkkuhbb9E2/2WcxgYAhGkSPvoYsk6ZjfWvG3EbtwGglY/FnDYX85DPIPyhfm+bbN+K3PwyctNL0N5l/pTuh7IjEUOOgxwBkVeQba+DG+tik4fIPREx9McIPbvf26pQKBQDkUEvpl544QXefvttDj/8cM4777ydxNStt97KL37xCx544AHGjRvHzTffzBtvvMHq1avJzva+HL7xjW/w7LPP8sADD1BYWMj3vvc9mpqa+OCDD9DT83FOO+00tm3bxj333APAFVdcwciRI3n22Wd3ua1KTPUtVluS5be9TuPLH5Cb146mSfJmz2L0987cb22SjkNs8WLaX3qR1OZNXqGA8KSh+HOSyNpV4HrDgph+jInH4TtsLvrQif3fNimheQ1y80vILf+BWG13g4JJUHEUoiCMtD+G1lfAaQGzBO2QNzJPAcrW18BXAYFxajhQoVAcFAx6MdUVIUQ3MSWlpKKigmuvvZbrrrsO8KJQpaWl3HrrrVx55ZW0trZSXFzM3/72N84//3wAqqqqGDZsGM8//zxz585l5cqVTJo0iUWLFjFz5kwAFi1axKxZs1i1ahXjx4/fpfYpMdU/1L21mWU/ewEzUU9rSzYjvziVSd85BjcexyzM2S9f+FJKkmvW0PbySySWfZgp13NChMfmY9hVyNYawFv7L3jOD/d5+2hZi9z+JnL7W9C0ortBqBQqjkYUF0N2MVrhmenrXNyPjvJEllHizbnKPhaRfQzCLNinfVAoFIp9xb74/h6wEyo2btxITU0Nc+Z0TgL2+/0cf/zxLFy4kCuvvJIPPvgAy7K62VRUVDB58mQWLlzI3Llzeeedd8jNzc0IKYCjjjqK3NxcFi5c2KuYSiaTJJPJzOu2trZ+6KWi5NgRHP/0V1jxm7dofXw5mx5ZRtVLaygpriM4JJ+KL88mZ8a+jaIIIQiMH09g/His6ioib75JdNEinLY22j6IARL/0AkEyzX08Z/JXOfUbyH1+kOY02ajjzoMoffP7SWEgPxxiPxxMPkyb47V9reQVW9BzXte1GrdU8h1gBHEKXsLUX40FI+D8BRofw/sOmTTU9D0FBIgeAiiaB5a0Rf7pc0KhUIxmBmwYqqmxvvlX1pa2q28tLSUzZs3Z2x8Ph/5+fk72XRcX1NTQ0nJzk+LlZSUZGx64pZbbuGmm27aqz4odg0zy8/UG0+mYu5Ylv3vq6Rq6nGCcWJrY6z7yQOExg1lyCWzyT587D6PVJnlFeTPO5+8c88j8fHHRN55m/iHH5Lc1kxyG7D4LwQnv0d41tFoDYuxVy/EXr0QAlkY42Zijj8avfIwhOHrtzaKYBFizNkw5myknYDa/3pRq6q3IV4P215HbnvdMw6XQ+l5UJAPvhaI/xfiqyD+MaSqMz6l3YZsfBSRdYQntLT+a79CoVAc6AxYMdXBjl+eUspP/ULd0aYn+0/zc8MNN/Dd734387qtrY1hw4btarMVe0DxrOGc+OyX2fbcKtb9aSFaezVZ4RixNdtY+z/3Exo/jCGXzCH7sNH7XFQJwyA4dSrBqVNxohFi771H9J2FpDZuJP7hh8Q//BAjxyQ0cjx6qgoS7djLXsFe9gr4ghhjjiAw9+uIUP8OEQsjAEOORQw5Nj3PahVy+9vI2vegYTlEq2FDNWxIX5BbCaUXI3JNyDql01H0A2TVb7yolQhAeBoia4YnrsLTENq+S7qqUCgUA50BK6bKyrx13GpqaigvL8+U19XVZaJVZWVlpFIpmpubu0Wn6urqOProozM2tbU7TNYF6uvrd4p6dcXv9+P3+/ukL4pdRzM0hp89iaGnT2D786tZ+6eF6K1VhLNixFZvZe2P7mPsr79OzqEj9lsb9XAW2SeeRPaJJ2FVVxFduJDoonewW1poW9YCBPEV5xMoD6CnaiHRirNpKQQ619hzqtehFVT06xOBQggomIgomAiHfg1pxaB+KbL2fWTtB9C8Blo3QOuGtGh6GqdgIqJ0BuSFIedEiC0Fuxkii5CRRZ4dBtqo2xF53vD6rvzAUSgUisHMgBVTo0aNoqysjPnz53PYYYcBkEqleP3117n11lsBmD59OqZpMn/+fObNmwdAdXU1y5cv57bbbgNg1qxZtLa28t5773HkkUcC8O6779La2poRXIqBh2ZoDDtzIkM/N57tL6xh7V1vo7VUoesOb1/xApUXT6PyosNwYzH8Zfmf7rCfMMsryDvv8+Secy6JlSuILlxIfOkSUvVJUvVJwI+RU04gZwja4sUEJk9G+P3EH/85MtaKPuowzAlHo4+egZbVv/0QZsibmF7h/d3LZKs3JJjeaN8CjR8jM7mtBOSNhqIRkK2D0QSJj8GqhsCYjF/Z8DBuwyOI8BQITUWEpkBwrMpxpVAoDhr269N8kUiEdevWAXDYYYfxu9/9jhNPPJGCggKGDx/Orbfeyi233ML999/P2LFj+eUvf8mCBQt2So3w3HPP8cADD1BQUMD3v/99Ghsbd0qNUFVVxd133w14qRFGjBihUiMcQEjHZfuLa1lz17tENjYD4MvRKc6vJjRuKCWnzyT/uEPR/OZ+bim4qRSJlSuIL11K/MMPcdu7PLxgGATGjSIoV0C8qdt1WslI9MrDPXE1ZMI+bjXIaK0nqmrfR9Z/CNGqnY0ChVAyBgpmohVPhfzxyC3fR7a80N1OC3pzrcJTEaVXIIz9J3gVCsXBzaBPjbBgwQJOPPHEncovueQSHnjggUzSzrvvvrtb0s7JkydnbBOJBD/4wQ94+OGHuyXt7Dq/qampaaeknX/84x9V0s4DEOm4VL28jjV3vYtVVUVBYQsdI0wi4KPolMMp+uyRhCrLP9nRPkK6LqkN64ktXUp8yRLsus4hZ820CQ4JYgaTiHh9ptw86lwCJ3/Vu95O4TZXoxUN3+dDaTLeAA3LkPUfIRs+hObVnXm2OtD9UFjpTWgP2kA9JNd0WUdQR5u6ODPHym34B9iN6ejVJJWSQaFQ9DuDXkwdSCgxNbCQrqR6/jrW3vU2bu12QuE4huFkzgdGlVN53fkER/Y+L25fI6XErqnOCKvUxg2Zc0Jz8eUJfEUmxvhjCRw5G6O0FGfDYuKP/gyRXYg+6jCMysPQR01DC+Xu+/bbCW9Ce/0yZMMyqF8GqdadDX3ZUDgMckOIUBAx5LsQLkcIgbP68xBb1mlrlniiKjgREZoEuXPU/CuFQtGnKDE1gFBiamAipaTlo1o2P7Gchv8sw2+0EwwmALCHT2f4F6ZSdkIlbjKJnhUcUF/Udkuz9yTgsmUk16xGJhLdzusFBYSG+THal+8QERJoJSPQhx2C78iz0Aoq9m3D00gpoX2rF7VqXIFsWgkt68C1djb25ULBBMhPgS8C7nawtne3MSvQJy/IvHTr/wZaCBGcCIExKj2DQqHYI5SYGkAoMTXwsWMWVS+vZcsTS4mu3EYy4T2N6SsIUlLehBk2KDnzKApPOgwjN/wp3vYt0rZJbd5EYuVKEqtWkly/Huy0gBISw5/CX2RihixEqiVzXeiKO9GLhwNgb1yK21SFPmwSWvHwzBIy+7QfjgWt6z1h1bTK27eu33l4EMAXgsISyA6C34JAOdqI/0WYIaSUuB/N9LK1A2BAYCQiMNYTVqEpiNzj92XXFArFAYoSUwMIJaYOLCKbmtny1Aq2/msFVlM7peX1aB3aQgjCE0dQcPyh5B09CV9x3v5sao+4ySTJdWtJrFxJctVKUlu2QPpWFZqDEbAwC3yI4cfiHz0G3+gxOO8+hL3yTc9BIIw+dBL6sEPQh01CLx/Tr4lDPwnppKAlLbCaVyEb0wJLOj1fkDUE8kZBdhUYEXCqwG3vbpN9NPqYBzIv3a03glnqia3gOPAN3S9iUqFQDDyUmBpAKDF1YOLaLnVvbmLL4x/SvngVoVAMn697lKRgzkxGfuesATUEuCNONEJy9ep05GoVdk31Tjb+Agt/nkST7Qi5QyTI8JP1/UcRuve0o9vWgAjn9duSN5+GdCxo24RsWQct67x96zqIN/RkDX4TcgsgOwA+BxGcgCj7GmQNAxnH/WhG90tEwItk+UdBzvFohefuk34pFIqBhxJTAwglpg58EvVRtj23ipoXPia1eRuBUAKfz6KpMQ+9uJSyk0ZTMDkPe9tW8o85hPCEYQhtYEY3nEiE1Ib1JNd7W2rjBmQqlT4r0X02RsDCl6ejG3FEMBf/uTdiVlQgDIPoX76DW7cJrXQUevlY9PKxaOVj0IqGITR9v/VLJls6xVVGZG0AJ9nzBUKH7DIodMHvgt4Obj3IVKdJ0RfRhnlLQ0knirtibqfQCoxK7yvBN0TlxlIoBiFKTA0glJgaXCTqItQs2EjN/FU0vF+Da7kAZOdEyMn1HuvXQkHyjjmEguMOIevQUejBgZsRXzoO1vZtGXGVXL8Op6EjyiMRmkS6GhgGviEVhPSPEG5iZ0emH2PMkQTPva7Tt20hjP2Xv0u6DkS2Q9tGZNsmaN3k7ds2gR3r6QowXcjOgqwQ+CoR4SMR2cOQviSy6tu91GQgSi9Hq/hOut4EtL0F/uHgH6aW0FEoDlCUmBpAKDE1eLGjKere2kzNaxtoemsFftFGIJhE07rcGkIQGFHGmJ9fgr9436cl2BOc1taMsEpt2UxqyxZkrEN8SDTDSUewbIwsga4nENJGDJlC6PyfoAWDSCmJ/O4CRDAHvWQkWslItJJR6CUjEHll+zeKJSXE67qJq4zISjT1fJGQ4HcgKwzhIPgl6HGQTYCFKPsOWvk3PP/xVbirzuy81igB/3CEf7i3zz7Wy/quUCgGNEpMDSCUmDo4cC2HpsVVVP9nHY2vf4wWa8IfSGEYDq4raGgfRuERwyg6Ygh6rA4z2yRn2mjC44YijP0nLHYFKSVOQ0NGWKW2bCa1eTNue8fkbolmepPCXctALyjAV1ZIIPZWzw5NP+a0uQTmXJHxL9vqETlF+33yt0y1eWkb2rdCesscW+09XQGGBAkYhZBVAdl+CHwEtAPxna4QFT9AK73cuzq+Bnfj1d5QoW8I+IZ4k+D96WNj/78nCsXBihJTAwglpg4+pJS0rWmg/u0tNLy9lvaV24m3ds6pKS2rx0iLDwyD0Lhh5M+aQPa00YRGlQ14cQVpgdXSQmrLZqzNm0lt3UJq82ac5uaMjdBcdJ+N7rPQfQ5GEDQ9icCFEbPwn3AJZmkpMhkh+n8Xg+lHKxiKVjQUrXAoWtEwb19Qsd+eKOxASuklGs2Iqy2dx5GqXoQWoLngc8GHF9EKGKBNRoSmQagM9O3Ipt/2Wm834ZXajmx8AswyhK8czArwlSH0rL7vsEKhUGJqIKHElMK1XVpX1NHw3jYa3t1KfOVafFoMnz+Frne/jfSCfIZ970vkTirBCJpYTe0Y+VkD+onBrrjRKKmqKqyq7Vjbt2f2bqRjmRhvmFBKgXR0EAJfSZhQcAOCnv9LMY88i8DstKBIRLE+fh2toAItv9yLZu3HIcMOZKrdE1XR7chIFUSqkNGqdFlVzwlJwRNbAQdMCUG/J7ZMCXoCiCCyL0cUnAGhEmTiA+TGb+7sQ88Gsxyt7FuI/FO99lhNEF8BZqm36dkHzN+QQjFQUGJqAKHElGJHXMuh5eM66t/dQtPba0ls2IapJ/D7U8RjAVqacxG6IHt0PtmJVYiAj2BlBbmHV5I1cQTh8UPRw4H93Y3dwmlr6xRXVVWk0scy3jEMlp6LZdpoprfX/S666WBnT0IbOROztAxNi2LP/32nY81A5JWi5ZejFZRjTDgGY/jkHtuwv5DS9VI3RKs8oRWthlgtMloN0VqI1fTy1GHHf7FpERQUUCjBp4Fhg5YAOq8T5TciSs5HaDqy9RXcDd/odKUFvSV4zFKEWYoougCRdYRXixMBuxnMYoR2YP1dKRT9iRJTAwglphSfhptyaP6ohsYPttPyURUtHzeSqI1gGDYlZQ30FFDQ83MpOvVIhnz5xAM24iClxGltwa6txaqp6ba3G+rBddlRUOg+i0BeBN0n0XQbIbr/N2QecxH+476A0HWc7auJP3UbWl4pIrcELa+027HIKhgYUS0pIdniiapoDTJaA7HOPbG6T54Yb7pguJDUwTUhUAC5GmRvBy0JIrXzZcN/g1boTZKXLfNxN17lndCzwSgGswRhFoFRjCg4AxHyBKp0E+AmQM89YP/uFIpdRYmpAYQSU4o9IV4boWV5Lc1Lt9O6ZBPJLdXoMoHPb2UWZm5tySIhC8geU0j28CDu6iUEhpaQNWkYWeOHEKwsJzC0CKHvf8Gwu0jbxm5oSIurGqzatNiqrcVt7VgkWSJ0L3qlGTa66ZCKBnBsP0ZhIf48B5+1stc6/HOuxHfEGQC4TVXe8GFuCSK3GC2nGJFdtF9TO3RFOhbE6yFej4zVeQIrXg+xOmS843VDz9nhhfTEluF6k+VNFyJ+0IogWAQ5CW/CvOg5s7wY8Xu0gs957Wh5GXfjt0CYYBSAUQRmIcIo9CbL53/OW3gakG4cnCgY+Qhx4P0NKhRKTA0glJhS9AXSlUQ2NdPyUS1NH2wmsnwLrZui2EnvSa9AMEFhUcvOF2oaRmE+xWcdQ9nZM9EMDek4IMSATSz6abjJJHZDA3ZDPXZ9ly39umNtQqG53rCh4XTZ3Mxx0piEKBqLUViI7tTB6ud2qkuE8xDZRfiPvwhjjJct3Y224DZt9wRXVsF+ywa/I9J1INkMsXpINCDj9RBv9ARYvBESDZ7gSjSBdHe8GrT0k4kdostwQXehPQxaqRfxym6H4LJe2yBG/BatwBOosuUl70lFNDDy0uLL24RRgCg4N5MiQtptYFWnz+erJKiKAYESUwMIJaYU/YWbcohsbqZtdQOtK2uJrNhKYlsdxCOYpo1p2pmcV40NeaTsMOEReWQVS7Tq1Rj5OfiHFJM1roLQGC+KFRhShBbYv0/O7Q3SdXFaW7uJK6exEbupCafJ2+M47DR86E/hz4p3EVtutyFEZ/hs9OFTMfLyoWUd9lv3Z673BFcBIqsALbsQ87BT0cvHeO1JxZFWEhHKGTApDjKiK+6JK9khsBJNyERj+ji9t6I7OxAS9A6xtcO+xQ/kgz8fcuMQXp2Z8rWTm/IbEUXnIIxgF+GVRs/1BJieD0YeWslXEdlHee23aiG61BNe6fMYuQgxMKKIisGDElMDCCWmFPuaVGuC9rWNtK6up+2jrcTWVdO6JYkV9aIRWdlRcvN6eZQfCB17NPnHHkLWqHx0zSZV3Yi/vBBfaT6a78COGEjXxWlr9QRWYyNOUxN2h9hqbMRuakxPiveyv2uGg6Y72EmflwkeMMNxgnlRNMPpcT4bh34eo3IGel4usno5qZfvAE33olhZBWhZ+YisfEQ4H2PScehFw7y22SmQEmEOnIz50k5khBaJRmRGaLVAshmZaPaEWaLZSx3RU8RLT0e89LTo0tORr1YfWDrofsgXUFAPwu5RfIncbyJyTgF/DjLxPnLbDTsbaVme8BpyHSJvrld7Yj2y6RkwckHPQ6T3nljL8cq0A/fHg6J/UWJqAKHElGIgIF1JrKqNyMZm2tc3ElldRWJTHan6JkjEMUwb07DRdEldTSGW5f3Kz8qJkZvblvEjgkGMglwCFQWEKkspOm0GgbKC/dWtfsFNxHGaW3BamrGbm9PHTTjNLd7rlmbctjY8weV6USzdRdO9iFaqPYjreHOE/NkxggXtPYsuQDv8i+iVM9BzcnC3LyX10h3gDyHC+WjhvLToykOEcjEnHYdWOBQAaSW84cxAeMBMBJeu4+XbSjR5E+oTzcgOoZVsgWQLMtmaOSbZ0kPKiLT4ymxpARY1wE7PuwpbUJgAA0+UCae7ANPOQPhngC8b5Bpk2596bbMY9nO0ovO9mqNLcbff6k2uN3I8waXnZDaRdTjCPyLd15S3jqM2cN5/Rd+jxNQAQokpxUDHiiSJbmohsqmZ9tU1RLdHiGxqJbq5Bb/eRlZWDN1wui+Tk6axrRRfeQnhoTn4RCuydhtmQQ7+8nyCw4sJDC/CX5KHryQPsyD7gJ2ntSPStnFaPMHltLTgtLZ6W9fj1pZ0fi2ZFlveEGLmWHdJtIZwbS/a58+JEiqI9F7poV/AGDENLTsbWfUh1uv3eRGvUK63hfO84cRwHubU2eglI722xtpwo82IYA4imD1w5nhJCXY8Laxa02KrxXudaoVUGyRbkcm2bq93XlcxPd+rQ4BZGjjpv7OADbmp9PmOyBjeXnOhfSLIUQhfNtJXD/qrvbZXlN2AKLkQofuRbW/jrv8KoHlPQOrZXYRXNlrhPETu8V7rrDpk2+sIrcMuK72lX4uAEmQDFCWmBhBKTCkOVKQrSTZEiW5t9bYN9cQ21ZGqbsJubkUm47Q25yCl98WVm9dGVnZPCwh7aJOOIDRmCMHyLIg04zQ1ERpZjL8sD19BDmZRDkZueNAILkiLrrY2nNa0yGppxW1rxWlvw2lrx21r8863tyHjMRAyI7TEDvvdEV7uyFPRyieihbOgcSXukic6T/rDnugKZiOCOfiPPR996ETvupYanO2rM+dEMAsRyPaiZQPkC186liesUq2euEq1ecsApdrT5d6xTLZ5kbLMufYdnnbcIY+X4ULQ7i7MNLfzuDEAMRM0H+RKKK3rvZHmGYjg8QgzjHQ3Iptv69VUVFyHVnqZ16L4GtxtN4GW5WW217O84Us9C/QwIjyjy9OSCUht6zyvhQbMvLzBghJTAwglphSDFSdhE9veRmxbK7FtbUTWVBHfVo/d2IbTHoFUEt1w0HUHXXepqSrGdb2hmt6Fl0AE/OTMOYnQ2HICJWGItOFGI/hK8vAVZmPkZ6OHB9+veWlZaWHV7gmuzHEbTqQdtz2CG2n3yiIRb2K71kVwaZ3CK9kewk0Pi/my4gTz2xGa7HG4MZU1A/JGooVCaImtaFte29lIaBDIInj6NRjjZgLgVK/DWvYfhD+cFl1ZEPD2IpDl5fLyh/rzLdstvEhYtFNYpdrBinjZ69PHnWVtkIqkxVh6v+NkfNElIrbjPmZAKj0sGbChKOGd62qnSU/HtQwHawSYYfBHINjLmpaAyLkQkXc+mCGktQm55fLuBloItDDoWYjiS9CKL/T6btUiq+8APezZdOy1LIQeAn8lIjAy/T454MbS4uzgTmmhxNQAQokpxcGKk7SJ10SIV7cTq2olXhMhURMhXhPB2r4dIi1oWBmxpWlu5su+evunCC+hgd+PHgqSf/qJhEaV4C8M4ba34kZjadGVhZmfjRbwDTrhBV6KCE9cRXDb27sJLTcaxYlEcKMR3EgUNxrBibQjXAuhdRVfEivu85b2AcxgAn9ODKFL77zm0jXYEW0pwzWL0UJBTF8bPmtVr+3Tj7oYc+JxiFAQt3oVqdf+4gmvQDizJ31sjJ/VOSyZiOC21CL8YfAHPdsBMDQpXccbYrQiaYEVASuKtCI7lHnH0o56AmzHLRMdk6B5O2T671N3IWR3iq0dxVerH6LppxaDNgyNdIqyHYlPQMhDwQgijQhoT/beudx5aEVXeLZuHXLtOV658IMeSgsvbxMFZ6EVX+T1wG5D1tzRxSbo2XQc+4chApWerXTBafPshHlA3JNKTA0glJhSKHpGSondniJRFyFRHyVe3U58awOJ6mZScYNEfZREXRQtWkfAH+8iurr/17NLwsvnQwsGyJ1zPMERxfjyg7jNTThtbfhL8zDzwph5WRi5YbSQ/4D4j353kVIiU6m02PJElhONeK9jMdxoFDcWxY3GOvfRKG6sHZwkQpO4tgbpYV3dZ2GG0tExTaaFlzc/TGiSaH0OdsJ7MtGXFSdc1NZr2+ziWYjiiWjBICK6DVY93d1AN72hRn8Y/0mXYE44BgCnfgvWkhcQvpAnvHwhRHqPP4hWOAwtKz/Tf2C/frZSSm/poJ1EVgRpx7xjOwZW57HMlEW98oxdPC3M0mKqqwDT0nPHOibtGy7kJruc38G+xe8JNQC/DaN6f9qX5GiEfRgYAaRhgf6P3m3Dc9GKvumJNBlDbjg7fULPCC/0oDdvLP80tDJv7UnpJpHbbkrb7LCJACIwEhE+rPM9TawFLdDFLtAnucqUmBpAKDGlUOwd0pWkWuIk6qKewKppI1HVTLK2FauxlWQqSLIpQbIhis9uJBBKpEWXw47Trz5VeAESgTBNArOOwV9RhC83gNNQi13fgK8wG39xDr6SHHx5Weg5IYzsIEZOGKEP3vkq0rK6C65YDDcWx43H0sexbsdyh/MCG820PbGVEV+dAizZHsRJeREXM5QgVJAeluzhoYdoUwG2LEQLBDCCcYLaut4bPmY22qij0AIBZNtWnDfuATOA8AXTUa8QwhdE+IKY0+ZijPXWK3TbG7FXvgW+IMKXtvcFEelrRTjPi6ztR6SU4KbSAiveKbDsWFqEdS1PH6c3T7h12Ca6n5d2pzgTPQivlN45hKm7UJDotBE7iLVWHzSn13s0HRjdu6AmVgbxSWAEvIcEsp7v3dacgZZzGeh+pKYhay7twcjwRFXeHLQRv8q8Z+66L4Pweee0QFqEBUDPQSu/ppsHJaYGEEpMKRT7DtdySDXHSTbGiNdHSVS3kaprIVXfRqopguWESLUkSDbH0aN1+LSYl9Ig/QXfNeq1K8Krg1TpZMzCfMwcP6K1Bre+Bi0U8IRWdggzL4RZkIWvKJv8YyZh5npfxG7CWzdP+A+MYY89QUqJTCZx43FkPC2w4on06xhuPJ7Zup6XiXR5MopIxcH2omOOpSPTn4tm2vjC8YzwEqKLSBOSeEsWVsz7MjeDCbJKW3ttZyJVga1XoPkD6EYUf2JJr7Zi9EloE05E8/mRsTrsBXchzIAnuPzBtPgKIMwAxqTjMMfP8t6LWBvW8tfA9GeEGaYf4Qt4Ii+cjxbO7cN3f/fICDQ77ok0J9FFhCWQHcfdyrucz5QnvK3jtZP09m6qZ+ElJNhap0jTJOQnukfcugq8mAlNaZGmuVDZ1in8dryN2gJQXwKG34twDl3RS+f9CHkp2vTvdV6qxNTAYX+IqasPeYqiXJMrHjyW8rF5+6ROheJAxEnZpJoTpJrjpJrjJGrbSda1kmpsw5YBrNYEVksCp74WYq2QSoFjpYVXOsWBJndLeNVWF4E/hJntIxxoxe/Ue9Ew3QDTRPOZiIAPPRQg5/gjCQwtwgj7cJqbsRuaMPPD+AqyMLICaKEAesiPHg4M2rlhHUjHQSYSuIl4Wmx1HMfTx+myZLL760x5DJIxZMr7shdCIoQXGUOT2AkfruUNDemmRSA3CjuKNOF9mcdbski1e5PrDX+K7PLmXtudSBRjiSFoPh+aaRG0exdpVByBGHMiwucDqx33zT+C7gPD5yVzNQPe3h/EnHgsvumf9d6bRJTk2/9I2/gRRnpv+sHwo+WXdc5Jcx1kWz0YHed9+2xOmnTttMBKdoosp6vwSiCdZLfX3fdJT7A5ybRAS3T6yAi2BEirU6RJ4Qk1rwWQbXURXl2EmgRaC9C/sCDTXiWmBhD7WkwteHw9T57/PiPDDhJo9muc8ItpnHLlxH6vW6E4GHBtF6stgdWaJNUS97b2FHZ7Eqs1SbKqHruxBScSx4klcBNJZMoC20JIh6bGPFx319JJ1FYXYafTIWTntJOT28PyLmlSxRPRCwowwz5Eex1u3XY0v4kW8KMFfBnRZWQFyD1mMsGhRRghH248ht3cjh7yowX86EEfWtCHMI1BK8465o/JZNKLmiUTyETHPi3IOkRZxibZaZ/qcpyMI+woWAlwLIRwPRGWFmB2wpcZwtQMm2BeJH2etEBzQUiEBonWEMk2L2qpmxY5Q5p67UOiNUQiUoAwTbQAZOds7NXWyRqNWzoTzfQhhI228qHuBkKAZoLhQxs5HfPI8z1BJ1xSL/4fwvSlh0f9CMOXFmI+tLLRmJM+k3lP7eWvpcWZ5wvDTNv7vCc8c4o6PwPXQWj987SgJ9qS3Tc7uVOZ3NEGgTbpyxk/SkwNIPa1mKrZ0s4fzn2V3FURfGkxLiW0ScifU8o3HzsBw9j/T8YoFAcjbsrBak9iRZLY7SlSbQlSTVFSjRHs5ihWaxS7PY7dHseNJUiJXKyogx1NoScb8dGOkJ1zjrR0ZEWI3RNedbUFWClvGZXelheS4CUFHXEIRkkJetDw8oNt25wWab6MSNOCfvSwj5zp4wkOK0YPGriJBHZLO3rAhx7wdbnGROiD85F76bpIy+oiulLIVLJTuKVSnihLpTJlbsc5K5Up98oSkIqls92nvKiMnUJIGyEkjmVkRJrQXC+StkMETQgQQpKK+TMiTegOuUMa6C0lVbI9SKwxJ+M3b3h9r/217FySbiXC9CEMnZCzsPf3Jms4cvRpCNNEGCa8+394TzQanpDTDdC9c6J0DL5jvowwTTAMUq/eA8jOSJrZIdhMtLwyzCknd7Zp1UKQbuZ8h090E+EPoeWXd7YplQBNB73nHw5KTA0g9tecqVgkyf87/RVS7zeT0+X/rYQDiel5fPvxEykoHTg5YBQKxa7hpGzsqIUdSWFHkqTak1gtcZyEjR2zsSMpUnVNXnQslsCNp3ATKdxkCpmykY5FJJZLKuLiJh3C4RhZOdHMsNeOk/brawtIpYVXOCtKXn7vT3o11OeTTD/BFwrHyC/oecKxROCUjEErKEUPGohEK3L7Ri8aZhpoPtMTXz4TLWASnjKO4MgytICBG4uR2lrtRdnCfozsIHrYjx4wET4DMz8bPThw1jfsa6TrpgWalRZglifC0sdu5ji9WVb3426vE8hUEqwk0k6ClcKxHNyUQKZSYFsYvvaMKPMEmjcsJoTESRmkokGvYUKSVdKyk03HdVbcT6yhYz6YJH9k70lPrZiPSF1+5nXe8NpexZ9th4inxnh/O4ZBSCxBsOMyRelaffk4wz+HMAwwDLQ1/0Ck0n/PZgjtuGsJzzo6Y6/E1ABiIExAf+zGD1h2+2oKHO8j2xTVSSAJHx7mizdP48hTh++XdikUiv2LaznYMQsnbnn7mIUVSWK1xrBb0xEyYeKmJHYshdXQgtPQgJO0kMkU0rJxLRssG+nYROM5JKMCN+kQDMXJyY1kvlCF6J40dFeFF0BTQy7xuPelHQgmKCxq6dW23SrGNgvQ/QY+PYY/tgk0DYQOuobQdIShg65jVlbiGzYMza9DIkZqzVqE30TzGelImpmJqoXGDSU4qgzN1MFxSG6v9YZOg+mom89AMw1EWgBq5uAYAfCSndqdIsyykHaHKLM6X6dSyA67zGZ32tqW93dipUVgMuaVOV5UDsezEY6Fa0ucpJG+zsYX9J7uRICgM+qGkLi2nom6AYSLW7z0HF0EHXj2TsroJtJyh9ajGd7i3K6t0VY3hGF33JU5r8TUAGIgiKkOVi6s4aGvv0PV6jih9FMTQ4I2lgaBI/I57X+mMuWUIfu1jQqF4sBHOm46UuYJNSdhY8ctnEjSG8aMJHGl5n1pJmysxjbshkachBdFk0lPpMmUhWvbWCIX2zJxkjZasp2A3oxI51jqKtSEkLQ05eyy8GpuyiEW9SL0fn+SopLeJ5K3NmcTiXhf2j5fiuLS3uczxUURVqAU3dTRtRT+tnXpeUmemEPTPGGn6+gVQ/GPGoXm05FOitTHH3vROdNApAWa5jMQfoPAsDJC44ej+XSQDvE1W9D8hif4AiZ6MC3+AgZmbhZmQbb3eUiJm7TQjLSgPMDmwmWGTzsEmd2xdQg2G2wrLebS5badFoEdrx3vervL9VYSaSXT16bACFP8jW9m6lViagAxkMRUB7bt8vAtS3j79jVMtNxu51IuRAW4xT5GfXYIX7h5Otl5gzdkrlAoDlxc28VJWLhJBydp4yRs3PTeSTo4kQSp5ghOLIkTS+ImLJxYCieZQiYt8Gfh6j7v+vYIsrEm/aVrI20HHMfLfO64xK0sEnE/btJBlwnyC1syAq5rtEQIaG3JItKeBYBpWpSUNfbah7bWMO1tnugxDJvS8oZebSPtIVpbvO8RXXcoq+h9PlMsFqI9UYRmamgmFAY2Zc5JBOmwDQgNN6sQykajmRpCF7B+qSf80oIPTUMYafFXVEhw0njPr6ETXbwUzfCifZppIEwdzdQRPhOzMIesQyoRHbarNqIZmhfJ8xuZCKDuN9CzgwTKCjJttNtjCE1DGDrC0Lw27GMRqMTUAGIgiqmuPPmLJSz+zUqyLElghzHp1pSgJqmRDEvCo/wU6xpTLxjFZ797CKZvcISwFQqFYneRUuJaTkbEuSkHN+VgJyzchIWbcpCOt6SSE01iNbbiJL0onZu0kEkLN2XjpmykLwi+EG7KwYklkPXb04LOQToO2K63d10sQiTtLNyUA3aKbF8d4ILsEp1LZ0SPRYO0tXoiTdMcyof0Lryi0SAtTd58JiFcKob2Pp8pFgvQ3JjX8U4wZFhtr7aJuJ/Ghs5htfIhtTutYNBBMmHS2FyMZnjCrTh3G5rW+WM/nb8eANcIkcoblxZwGkbdSoRrgya8xZ61jiigBsEQvomHIgwNzdBIrV4JVtJLsqvrGcGo+U2yZh3O8LMnZepUYmoAMdDFVFc+fqOKF29dTuPiZvztNm0pQcLyhgP9mmR42FtTypEQcyFlCNwsnWBFkFGzy5l1YSUjJ+Wj7TiDVaFQKBT9hpQSabu4luuJvJTj7S0XaTk4KduLyCUs3EQKJ2kjEzZO0sJNWaAZiEAQabk4SYvU1qr0fLi0qLNsXDst7Ew/MpSPa7vIlAN1G5GuC44LrusdSxdciS39xK08r122S16wyhN7dM5j6hB/qaRJU+OuCa9U0qS+rjDzuqy8Dt1we7S1UgZ1tZ0pGUrK6jFNZyc7x9Gob6rgcx9clSlTYmoAcSCJqR1xXZePFtby9j83sf7pbRTUpgimRf+O1CU0Wi0NGxfd71JqgGUIyDUJDwsyZEYho48q4dBTKsgpCu77zigUCoViwCAdF9dxkWmhJe2u+3TEL2HjdkTxkpYn7lI2rgtaKJS5JlVV682zs22k5WREoGs7IHT0wuKMb3v7Vm+yvJOO+Dmud4yGKB3BjN99NtNGJaYGEAeymOqJlroY/7p5KZteq8WqS6LHHXwO1FlgWzoCQbbhUhbs+VcCwPaEoFEAQUHIJ8hPubh+DS3bIFDkJ2dEiLKJeQydnM/oI4spGhpW0S6FQqFQ7FOUmBpADDYx9UlE21OsfK+O/z6xme2v1uA2pjCSLj4X/AL09HzHqrhGNJ3e/9OEV01co8UW2JokaLiUG+CI9KYJpCGQPg0tpBMcn03hpFzC+T4MBKn6BHlDwhSPyKK4MouKCbmEstRkeoVCoVB8OkpMDSAOJjH1aSTiFivfrKW1KU5TfZK6zRGq323AXhNBJF0MW2JIMAUYwls6qTrRKbyyDJfyTxFe7WnbkO4yJLSzrSu9rcYSNGmALggISZmUSMAV3lJOruapP6mDWx4gODoLX9BAsx2S66LoAR0zZGCGdXxhg0COj2CeSdHYHMrG5RLO9eEL6AhXklsSJJhjog/SrM8KhUIxGNkX398H1aNcd955J7/+9a+prq7mkEMO4fbbb+e4447b38064AgETQ6bM3SX7ZNJi8btcVoa4jRsj7LpvQaq320k0ZzEbrNw4y4kXTRbojmSSBbEcZEWGLaL5aYf6oBMskBNeJvpCoKpTuGVE9rht0GH6rKgfmWC2mUprw+6ZFio++TFVHprAz5OajSn/XadtN/hMjP1UkKjLaiTgAamkIwQnedd0fH0iifu2k2NWKEPzRDoUpJTm0QKgdBAdnSwo7MFPgLjstFNgZCQXN4KuvAeZdYFwhTohoYwNYKlAYqn5mP4NDQhqF/chBHQMXwaRkDD8OmYPh09oJNV7Kd0fB6GT2CYOm3bohgBHX/IwBcy8Id0AmEDf5ZJIGyoZYsUCoXiUzho/pf8xz/+wbXXXsudd97JMcccw913381pp53GihUrGD5cZQ7vT/x+k4pKk4pK7xfBZ86p3CM/lmXTsCVKzdpW6ja207Q1Rnm2gRbQiLXbNK9vo/XDVpy4g5tykSkXLBccEI4kWqRhB3TvXMylPZkWaHj6RXQcA5aU3iR8dp6l323ivgBTQjCdPNWnSULhnZ8w6UDGJIlm27tUSIqyOmTXzrQ0OtQs98SfLiSVWb37bbEEqx+uSzdJMia7d9t2S1CT6IiuScZ+gm3UFmyPaxlxOCbsdMt+3RHXlnhPhm6xvDdSChhjSO+9Si/4juzsaQLYpmuZN32Y5Wb+M5Ki0yeAJaA2x/SWoRBQ1GJhdvjqaisEjoC2IQEvj40G4eoEhp32JNJ5eTqu0QWpsWG0tDLXN0bRkm46Zw+dGyB0gTE1DzQQmsBaG4Gonc7e7NmLjj8MAdkzCxC6J3qjq9twWq1MmxDCe1+EQAjIn1WI4dNBQPuadqzmVMav0EU655FXR/FRhZhBb/2x1nXtJBsSCE14dafbINL70sML8GWZaLqgdVM70dokQgdN07xE4mnRrglBydR8/FkmmiZo2xYlWpdA04W3aRpCx8sVpEHx+Fz82SZCQKQhSawujjAEmhBomkAzvPZohkb+0BCBbB8ISLSliDel0NPnheb1z0tqrpFTEsAX8vpmJx2SEcv7saB5/dd0z7emafizDfwB7y/GTf9g8too0HU9vUybpuZoKvYZB80w38yZMzn88MO5667OFPMTJ07k7LPP5pZbbvnU69Uw38GJ67pE21I0bY8RaUwSaUwSbUkSa0kRb02RbLfw5fkIlARIxW3aa+PUvdOIbTm4KZl+lFgiLRfpSGSuiV4RxLFcrDYLY20kHcKSpFdLwFsCSxLzabRnG0gHsByGtDukV14Aun/ft7lQJwRSguZKxpndtIC3T2uEiC2oTnhnBZLx2b0PuUZtQVW8c1hzdJbd41OgADFbsL2LbWXYRu/luyzhwNZY52+5kWEbs7cFWx3Y0sV2RMjG18tIq+XCpmin7bCQTaAXW9uFjV1shwRtQr38vHQlrI90nqwIOoSN3v/rXNveaVsWcMg2e7dd166nky9CacAh5xNsN0R0nLTaLPY75Pl6t90Y0bHTtkV+h/xPsN0c1Um5nm2Bz6HQ37vtlqhOMm2b73Mp8vf+97MtphN3PNtc06Uk8AkPtMQ0Yo73R5BjuJR+wlSA6rhGZDemDbTZXhvCuqSiB9uO3tYlBS2W99B/UJcMD8pu57tSnxQ02WlbrdO2J+MGS9Dg/YbCJySjAr02lyZbUJf+fWMKSaWvZzsJtDhQm/4sdCRjzJ77BdDmQE3670wgGav3YJc+aHehJnOjS8b03lyiEqrSN7oAKl23h5+gHnGgytAy/zGNtFx6k7sJoMrf2chhSafX6E8KqAqmbQUIU/DnqvMz59UwXx+RSqX44IMPuP7667uVz5kzh4ULe14dO5lMkkwmM6/b2npfb0oxeNE0jey8ANl5n/C/3wGOZdkkow6JiEUyahGPONhJm2TcAQFZxQHslIttOWxb0oSVdLCTDnbCxbFdnKSLlbIpDpocPiEXx/YeUd76Vh120nvk2bWlJyodieO46D6d6dPycF2J60jqFzaQSLhIV3q5dpx06MmRSJ/GsMm5XrkL7UuakUm3y1iqBCmR0os25R2T7dUloXVNO+0pt8tYK5ljKcAcH8j4bd3uErPSKQW7fgtJ6c2/G2sg02O8bY0OKafTpxB0++ZKlaejdhIiUS9dTwddfQsgnusihTceHLVAd7qf70os6NDxVZVwJQm3S72i+zVxw8FO+03hrYrQm9+kcEjpnq2NJzQ7DHe0tXGx0uFJR0rcHsRDxzUukh3TNe4PRBcR0VPy7Y4iDYGe/no3cNFE723WEZgybSslhnC6O+uCicDverY+TWJqvUeDTQkB2xMGhpD4Ar3b+m2RiYrrQuL3926bcgTBdERaIAl8QkTadgXBWGf0OvQJttIWhCKdkiiU5fb6g0vYgmBbp2047Pb6g8twINjc6SgrzCf+4Ao0dtra9C6u+4uDQkw1NDTgOA6lpaXdyktLS6mpqenxmltuuYWbbrppXzRPodivmKaBmWeQtQvLDR1yVNmuO75i0qfbKA46pJTYtoNjS1wnLbQdiW56ma6l65KM2SQidnoIz8V1JK7jDem5tsSfbeALGrgSEu0p2usTnm9b4rppMQ64jiSU78Of44VsYq0pWrfHQILjeHZuWpBLVxIuDRAq8IOEeFuKpvURT2xLiXTSGdPTvieXBskuDSAlJNtT1K9s88Q26aFHSUaoV5YFyB3qrQcYb03R8HGL15cOJZoW3lJCRWmA3JFZSBeshEXN4qaO5OgZ/x37UcV+po/N8WzjFrX/bcoI945Bpw7bskI/k8bneL9RLJeahfXp893tcSE/36RyUl6mL7Vv1Wf8ZH6MpO1D2SZHTMnPjPnXvlWfmVgqkZl+ARhZBodNzUtfDw3vNODaaYOMX2+vh3QmH5afaV/Te40kOn4RdJin/xF+jQnTCzK2utFbbKz/OCjEVAc7rgckpex1jaAbbriB7373u5nXbW1tDBs2rF/bp1AoFIMdIYQn4M3ebcI5KvWJ4sDioBBTRUVF6Lq+UxSqrq5up2hVB36/H79f3dAKhUKhUCg+mYNCTPl8PqZPn878+fM555xzMuXz58/nrLPO2iUfHSFNNXdKoVAoFIoDh47v7f583u6gEFMA3/3ud7n44ouZMWMGs2bN4p577mHLli18/etf36Xr29vbAdRQn0KhUCgUByDt7e3k5ub2i++DRkydf/75NDY28r//+79UV1czefJknn/+eUaMGLFL11dUVLB161ays7Mz86w65lFt3br1oEiXcLD1F1SfVZ8HLwdbnw+2/oLqc0efpZS0t7dTUVHRb/UeNGIK4Jvf/Cbf/OY39+haTdMYOrTnrN85OTkHzR8qHHz9BdXngwXV58HPwdZfUH0G+i0i1YFKD6tQKBQKhUKxFygxpVAoFAqFQrEXKDG1F/j9fn72s58dNCkUDrb+gurzwYLq8+DnYOsvqD7vSw6atfkUCoVCoVAo+gMVmVIoFAqFQqHYC5SYUigUCoVCodgLlJhSKBQKhUKh2AuUmFIoFAqFQqHYCw5qMXXnnXcyatQoAoEA06dP58033/xE+9dff53p06cTCASorKzkT3/60042//znP5k0aRJ+v59Jkybx1FNP7XW9fUVf9/fee+/luOOOIz8/n/z8fE455RTee++9bjY33ngjQohuW1lZWZ/3rTf6us8PPPDATv0RQpBIJPaq3r6kr/t8wgkn9Njnz33ucxmbA+lzrq6u5sILL2T8+PFomsa1117bo91guZd3pb+D7V7elT4Ptnt5V/o82O7lJ598ktmzZ1NcXExOTg6zZs3ipZde2slun9zL8iDl0UcflaZpynvvvVeuWLFCXnPNNTIcDsvNmzf3aL9hwwYZCoXkNddcI1esWCHvvfdeaZqmfOKJJzI2CxculLquy1/+8pdy5cqV8pe//KU0DEMuWrRoj+sdyP298MIL5R133CGXLFkiV65cKb/yla/I3NxcuW3btozNz372M3nIIYfI6urqzFZXV9evfe2gP/p8//33y5ycnG79qa6u3qt6+5L+6HNjY2O3vi5fvlzqui7vv//+jM2B9Dlv3LhRfvvb35YPPvignDZtmrzmmmt2shlM9/Ku9Hew3cu70ufBdi/vSp8H2718zTXXyFtvvVW+9957cs2aNfKGG26QpmnKxYsXZ2z21b180IqpI488Un7961/vVjZhwgR5/fXX92j/wx/+UE6YMKFb2ZVXXimPOuqozOt58+bJU089tZvN3Llz5QUXXLDH9fYV/dHfHbFtW2ZnZ8sHH3wwU/azn/1MTp06dc8bvhf0R5/vv/9+mZub26f19iX74nP+/e9/L7Ozs2UkEsmUHUifc1eOP/74Hr90BtO93JXe+rsjB/q93JXe+jzY7uWu7OrnPJju5Q4mTZokb7rppszrfXUvH5TDfKlUig8++IA5c+Z0K58zZw4LFy7s8Zp33nlnJ/u5c+fy3//+F8uyPtGmw+ee1NsX9Fd/dyQWi2FZFgUFBd3K165dS0VFBaNGjeKCCy5gw4YNe9GbXaM/+xyJRBgxYgRDhw7l9NNPZ8mSJXtVb1+xrz7n++67jwsuuIBwONyt/ED5nHeFwXQv7wkH+r28qwyme3lPGGz3suu6tLe3d/u73Vf38kEpphoaGnAch9LS0m7lpaWl1NTU9HhNTU1Nj/a2bdPQ0PCJNh0+96TevqC/+rsj119/PUOGDOGUU07JlM2cOZO//vWvvPTSS9x7773U1NRw9NFH09jYuJe9+mT6q88TJkzggQce4JlnnuGRRx4hEAhwzDHHsHbt2j2ut6/YF5/ze++9x/Lly/na177WrfxA+px3hcF0L+8JB/q9vCsMtnt5dxmM9/Jvf/tbotEo8+bNy5Ttq3vZ2GXLQYgQottrKeVOZZ9mv2P5rvjc3Xr7iv7obwe33XYbjzzyCAsWLCAQCGTKTzvttMzxoYceyqxZsxg9ejQPPvgg3/3ud/eoH7tDX/f5qKOO4qijjsqcP+aYYzj88MP5wx/+wP/7f/9vj+vtS/rzc77vvvuYPHkyRx55ZLfyA+1z7iufB8q9vDsMlnv50xiM9/LuMNju5UceeYQbb7yRp59+mpKSkt32ubfv9UEZmSoqKkLX9Z1UZ11d3U7qtIOysrIe7Q3DoLCw8BNtOnzuSb19QX/1t4Pf/OY3/PKXv+Tll19mypQpn9iWcDjMoYcemvn111/0d5870DSNI444ItOf/fUZ72ndu9PnWCzGo48+utMv2Z4YyJ/zrjCY7uXdYbDcy3vCgX4v7w6D7V7+xz/+wWWXXcZjjz3WLZoK++5ePijFlM/nY/r06cyfP79b+fz58zn66KN7vGbWrFk72b/88svMmDED0zQ/0abD557U2xf0V38Bfv3rX/Pzn/+cF198kRkzZnxqW5LJJCtXrqS8vHwPerLr9GefuyKlZOnSpZn+7K/PeE/r3p0+P/bYYySTSS666KJPbctA/px3hcF0L+8qg+le3hMO9Ht5dxhM9/IjjzzCpZdeysMPP9wtxUMH++xe3uWp6oOMjkch77vvPrlixQp57bXXynA4LDdt2iSllPL666+XF198cca+4xHy73znO3LFihXyvvvu2+kR8rffflvqui5/9atfyZUrV8pf/epXvT6C2Vu9B1J/b731Vunz+eQTTzzR7THa9vb2jM33vvc9uWDBArlhwwa5aNEiefrpp8vs7Ox+729/9fnGG2+UL774oly/fr1csmSJ/MpXviINw5DvvvvuLtd7oPW5g2OPPVaef/75PdZ7IH3OUkq5ZMkSuWTJEjl9+nR54YUXyiVLlsiPP/44c34w3cu70t/Bdi/vSp8H2728K33uYLDcyw8//LA0DEPecccd3f5uW1paMjb76l4+aMWUlFLecccdcsSIEdLn88nDDz9cvv7665lzl1xyiTz++OO72S9YsEAedthh0ufzyZEjR8q77rprJ5+PP/64HD9+vDRNU06YMEH+85//3K16+5O+7u+IESMksNP2s5/9LGNz/vnny/LycmmapqyoqJDnnntujzd3f9HXfb722mvl8OHDpc/nk8XFxXLOnDly4cKFu1Vvf9Mff9erV6+WgHz55Zd7rPNA+5x7+rsdMWJEN5vBdC9/Wn8H4738aX0ejPfyrvxdD6Z7+fjjj++xz5dcckk3n/viXhZSpmebKhQKhUKhUCh2m4NyzpRCoVAoFApFX6HElEKhUCgUCsVeoMSUQqFQKBQKxV6gxJRCoVAoFArFXqDElEKhUCgUCsVeoMSUQqFQKBQKxV6gxJRCoVAoFArFXqDElEKhUCgUCsVeoMSUQqHocx544AHy8vI+0ebGG29k2rRpn2hz6aWXcvbZZ/dZu/qaE044gWuvvTbzeuTIkdx+++39WmdjYyMlJSVs2rRpr/x8/vOf53e/+13fNEqhOMhRYkqhUGS49NJLEUJktsLCQk499VSWLVu2v5u2x5xwwgmZ/vh8PkaPHs0NN9xAMpns87ref/99rrjiij7325VbbrmFM844g5EjR+6Vn5/+9Kf84he/oK2trW8aplAcxCgxpVAounHqqadSXV1NdXU1r7zyCoZhcPrpp+/vZu0Vl19+OdXV1axbt47bbruNO+64gxtvvLHP6ykuLiYUCvW53w7i8Tj33XcfX/va1/ba15QpUxg5ciR///vf+6BlCsXBjRJTCoWiG36/n7KyMsrKypg2bRrXXXcdW7dupb6+HoAFCxYghKClpSVzzdKlSxFC7DT09K9//Ytx48YRCASYPXs2W7du3am+u+++m2HDhhEKhfjCF77Qze+OSCm57bbbqKysJBgMMnXqVJ544olP7VMoFKKsrIzhw4dz3nnnMXv2bF5++eXM+cbGRr74xS8ydOhQQqEQhx56KI888kg3H9FolC9/+ctkZWVRXl7Ob3/7253q6TrMt2nTJoQQLF26NHO+paUFIQQLFiwAoLm5mS996UsUFxcTDAYZO3Ys999/f6/9eOGFFzAMg1mzZmXKOj6Pl156icMOO4xgMMhJJ51EXV0dL7zwAhMnTiQnJ4cvfvGLxGKxbv7OPPPMnfqpUCh2HyWmFApFr0QiEf7+978zZswYCgsLd+vaWCzGL37xCx588EHefvtt2trauOCCC7rZrFu3jscee4xnn32WF198kaVLl3LVVVf16vPHP/4x999/P3fddRcff/wx3/nOd7jooot4/fXXd7ldH374IW+//TamaWbKEokE06dP57nnnmP58uVcccUVXHzxxbz77rsZmx/84Ae89tprPPXUU7z88sssWLCADz74YDfekZ35yU9+wooVK3jhhRdYuXIld911F0VFRb3av/HGG8yYMaPHczfeeCN//OMfWbhwIVu3bmXevHncfvvtPPzww/z73/9m/vz5/OEPf+h2zZFHHsl7773XL0OeCsXBhLG/G6BQKAYWzz33HFlZWYAXjSkvL+e5555D03bvt5dlWfzxj39k5syZADz44INMnDiR9957jyOPPBLwRMyDDz7I0KFDAfjDH/7A5z73OX77299SVlbWzV80GuV3v/sdr776aiYyU1lZyVtvvcXdd9/N8ccf32tb7rzzTv785z9jWRapVApN07jjjjsy54cMGcL3v//9zOurr76aF198kccff5yZM2cSiUS47777+Otf/8rs2bMz/elo956yZcsWDjvssIxA+rR5UJs2baKioqLHczfffDPHHHMMAJdddhk33HAD69evp7KyEvAmnL/22mtcd911mWuGDBlCMpmkpqaGESNG7FVfFIqDGRWZUigU3TjxxBNZunQpS5cu5d1332XOnDmcdtppbN68ebf8GIbRLYoyYcIE8vLyWLlyZaZs+PDh3QTJrFmzcF2X1atX7+RvxYoVJBIJZs+eTVZWVmb761//yvr16z+xLV/60pdYunQp77zzDvPmzeOrX/0q5513Xua84zj84he/YMqUKRQWFpKVlcXLL7/Mli1bAFi/fj2pVKrb8FpBQQHjx4/frfdkR77xjW/w6KOPMm3aNH74wx+ycOHCT7SPx+MEAoEez02ZMiVzXFpaSigUygipjrK6urpu1wSDQYCdhv8UCsXuoSJTCoWiG+FwmDFjxmReT58+ndzcXO69915uvvnmTIRKSpmxsSyrR19CiF0q2/FcTzau6wLw73//myFDhnQ75/f7e/UJkJubm+nTQw89xCGHHMJ9993HZZddBsBvf/tbfv/733P77bdz6KGHEg6Hufbaa0mlUkD3vu4qu/I+dYjUf//73/znP//h5JNP5qqrruI3v/lNjz6Liopobm7u8VzXYUshRLfXHWUd72EHTU1NgDdxXqFQ7DkqMqVQKD4RIQSaphGPx4HOL97q6uqMTddJ1h3Yts1///vfzOvVq1fT0tLChAkTMmVbtmyhqqoq8/qdd95B0zTGjRu3k79Jkybh9/vZsmULY8aM6bYNGzZsl/tjmiY/+tGP+PGPf5yJyLz55pucddZZXHTRRUydOpXKykrWrl2buWbMmDGYpsmiRYsyZc3NzaxZs6bXenb1fSouLubSSy/loYce4vbbb+eee+7p1edhhx3GihUrdrmvn8by5csZOnToJ87TUigUn44SUwqFohsdc2hqampYuXIlV199NZFIhDPOOAMgI15uvPFG1qxZw7///e8en2wzTZOrr76ad999l8WLF/OVr3yFo446KjNfCiAQCHDJJZfw4Ycf8uabb/Ltb3+befPm7TRfCiA7O5vvf//7fOc73+HBBx9k/fr1LFmyhDvuuIMHH3xwt/p44YUXIoTgzjvvzPRp/vz5LFy4kJUrV3LllVdSU1OTsc/KyuKyyy7jBz/4Aa+88grLly/n0ksv/cR5ZMFgkKOOOopf/epXrFixgjfeeIMf//jH3Wx++tOf8vTTT7Nu3To+/vhjnnvuOSZOnNirz7lz5/Lxxx/3Gp3aXd58803mzJnTJ74UioMZJaYUCkU3XnzxRcrLyykvL2fmzJm8//77PP7445xwwgmAJ5IeeeQRVq1axdSpU7n11lu5+eabd/ITCoW47rrruPDCC5k1axbBYJBHH320m82YMWM499xz+exnP8ucOXOYPHlyRuD0xM9//nN++tOfcssttzBx4kTmzp3Ls88+y6hRo3arjz6fj29961vcdtttRCIRfvKTn3D44Yczd+5cTjjhBMrKynbKvP7rX/+az3zmM5x55pmccsopHHvssUyfPv0T6/nLX/6CZVnMmDGDa665Zqf3yefzccMNNzBlyhQ+85nPoOv6Tu9RVw499FBmzJjBY489tlv97YlEIsFTTz3F5Zdfvte+FIqDHSH3ZDKAQqFQKPYLzz//PN///vdZvnz5bj9h2ZU77riDp59+ulu+LYVCsWeoCegKhUJxAPHZz36WtWvXsn379t2aK7YjpmnulHdKoVDsGSoypVAoFAqFQrEXqDlTCoVCoVAoFHuBElMKhUKhUCgUe4ESUwqFQqFQKBR7gRJTCoVCoVAoFHuBElMKhUKhUCgUe4ESUwqFQqFQKBR7gRJTCoVCoVAoFHuBElMKhUKhUCgUe4ESUwqFQqFQKBR7wf8HNBZkORQJnukAAAAASUVORK5CYII=", "text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(avals, fffns, linestyle=\"-\", color=get_cmap(\"plasma\")(0), label=L\"N$_2$ Warm Surface\")\n", "plot(avals, fffos, linestyle=\"--\", color=get_cmap(\"plasma\")(0.1), label=L\"O$_2$ Warm Surface\")\n", "plot(avals, fffncs, linestyle=\"-\", color=get_cmap(\"plasma\")(0.2), label=L\"N$_2$ Cold Surface\")\n", "plot(avals, fffocs, linestyle=\"--\", color=get_cmap(\"plasma\")(0.3), label=L\"O$_2$ Cold Surface\")\n", "plot(avals, fffn1k, linestyle=\"-\", color=get_cmap(\"plasma\")(0.4), label=L\"N$_2$ 1000 m Deep\")\n", "plot(avals, fffo1k, linestyle=\"--\", color=get_cmap(\"plasma\")(0.5), label=L\"O$_2$ 1000 m Deep\")\n", "plot(avals, fffn2k, linestyle=\"-\", color=get_cmap(\"plasma\")(0.6), label=L\"N$_2$ 2000 m Deep\")\n", "plot(avals, fffo2k, linestyle=\"--\", color=get_cmap(\"plasma\")(0.7), label=L\"O$_2$ 2000 m Deep\")\n", "plot(avals, fffnd, linestyle=\"-\", color=get_cmap(\"plasma\")(0.8), label=L\"N$_2$ 3500 m Deep\")\n", "plot(avals, fffod, linestyle=\"--\", color=get_cmap(\"plasma\")(0.9), label=L\"O$_2$ 3500 m Deep\")\n", "xlim(-0.002, 0.202)\n", "ylim(-75, 7575)\n", "xlabel(\"Bubble Radius (m)\")\n", "ylabel(\"Frequency (Hz)\")\n", "legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is Fig. 1B in the paper. (The entire Fig. 1 is generated below.)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 5.6. Undamped frequency" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The frequency for undamped motion is also the frequency of maximum bubble wall velocity defined in Eq. (141). The expression below represents Eq. (141)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Symbolic output from the expression below has been suppressed. To show the output, delete the trailing semicolon before entering the entering the expression.*" ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [], "source": [ "funeq = sqrt(K) - ω;" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Convert the symbolic expression `funeq` to a Julia function so we can find a numerical solution." ] }, { "cell_type": "code", "execution_count": 70, "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "#118 (generic function with 1 method)" ] }, "execution_count": 70, "metadata": {}, "output_type": "execute_result" } ], "source": [ "funeqjl = lambdify(funeq(ω=>2*pi*f),(a, vlist..., f))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now define a function to find the roots of `funeqjl`." ] }, { "cell_type": "code", "execution_count": 71, "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "fun (generic function with 4 methods)" ] }, "execution_count": 71, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\"\"\"\n", " fun(a1, v1[, f0])\n", "Find the frequency that is the root of `funeqjl`. The optional argument \n", "`f0` is the initial value for the `find_zero` function with default \n", "value 20 Hz.\n", "\"\"\"\n", "fun(a1, v1, f0) = find_zero(f1 -> funeqjl(a1, v1..., f1), f0)\n", "fun(a1, v1; f0=20.0) = find_zero(f1 -> funeqjl(a1, v1..., f1), f0)\n", "fun(a1, ρ, pw, μ, σ, c, dd, γ, f0) = find_zero(f1 ->\n", " funeqjl(a1, ρ, pw, μ, σ, c, dd, γ, f1), f0)\n", "fun(a1, ρ, pw, μ, σ, c, dd, γ; f0=20.0) = find_zero(f1 ->\n", " funeqjl(a1, ρ, pw, μ, σ, c, dd, γ, f1), f0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Arrays of `fun` values are calculated below for the bubble radii in `avals`." ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [], "source": [ "funns = map(a->fun(a, valst(\"n2\", 0)), avals);" ] }, { "cell_type": "code", "execution_count": 73, "metadata": {}, "outputs": [], "source": [ "funos = map(a->fun(a, valst(\"o2\", 0)), avals);" ] }, { "cell_type": "code", "execution_count": 74, "metadata": {}, "outputs": [], "source": [ "funncs = map(a->fun(a, valst(\"n2\", 0, temp=\"c\")), avals);" ] }, { "cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [], "source": [ "funocs = map(a->fun(a, valst(\"o2\", 0, temp=\"c\")), avals);" ] }, { "cell_type": "code", "execution_count": 76, "metadata": {}, "outputs": [], "source": [ "funn1k = map(a->fun(a, valst(\"n2\", 1000)), avals);" ] }, { "cell_type": "code", "execution_count": 77, "metadata": {}, "outputs": [], "source": [ "funo1k = map(a->fun(a, valst(\"o2\", 1000)), avals);" ] }, { "cell_type": "code", "execution_count": 78, "metadata": {}, "outputs": [], "source": [ "funn2k = map(a->fun(a, valst(\"n2\", 2000)), avals);" ] }, { "cell_type": "code", "execution_count": 79, "metadata": {}, "outputs": [], "source": [ "funo2k = map(a->fun(a, valst(\"o2\", 2000)), avals);" ] }, { "cell_type": "code", "execution_count": 80, "metadata": {}, "outputs": [], "source": [ "funnd = map(a->fun(a, valst(\"n2\", 3500)), avals);" ] }, { "cell_type": "code", "execution_count": 81, "metadata": {}, "outputs": [], "source": [ "funod = map(a->fun(a, valst(\"o2\", 3500)), avals);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the undamped resonance frequencies vs. bubble radius. This is Fig 1A." ] }, { "cell_type": "code", "execution_count": 82, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(avals, funns, linestyle=\"-\", color=get_cmap(\"plasma\")(0), label=L\"N$_2$ Warm Surface\")\n", "plot(avals, funos, linestyle=\"--\", color=get_cmap(\"plasma\")(0.1), label=L\"O$_2$ Warm Surface\")\n", "plot(avals, funncs, linestyle=\"-\", color=get_cmap(\"plasma\")(0.2), label=L\"N$_2$ Cold Surface\")\n", "plot(avals, funocs, linestyle=\"--\", color=get_cmap(\"plasma\")(0.3), label=L\"O$_2$ Cold Surface\")\n", "plot(avals, funn1k, linestyle=\"-\", color=get_cmap(\"plasma\")(0.4), label=L\"N$_2$ 1000 m Deep\")\n", "plot(avals, funo1k, linestyle=\"--\", color=get_cmap(\"plasma\")(0.5), label=L\"O$_2$ 1000 m Deep\")\n", "plot(avals, funn2k, linestyle=\"-\", color=get_cmap(\"plasma\")(0.6), label=L\"N$_2$ 2000 m Deep\")\n", "plot(avals, funo2k, linestyle=\"--\", color=get_cmap(\"plasma\")(0.7), label=L\"O$_2$ 2000 m Deep\")\n", "plot(avals, funnd, linestyle=\"-\", color=get_cmap(\"plasma\")(0.8), label=L\"N$_2$ 3500 m Deep\")\n", "plot(avals, funod, linestyle=\"--\", color=get_cmap(\"plasma\")(0.9), label=L\"O$_2$ 3500 m Deep\")\n", "legend()\n", "xlim(-0.002, 0.202)\n", "ylim(-75, 7575)\n", "xlabel(\"Bubble Radius (m)\")\n", "ylabel(\"Frequency (Hz)\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is Fig. 1A in the paper. The entire Fig. 1 is plotted below. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 5.7. Figure 1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the undamped and far-field resonance frequencies vs. bubble radius. This is Fig. 1 in the paper." ] }, { "cell_type": "code", "execution_count": 83, "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "heights = [3, 1]\n", "fig = figure(constrained_layout=true, dpi=300, figsize=(7.38, 3))\n", "gs = fig.add_gridspec(2, 2, height_ratios=heights)\n", "ax1 = fig.add_subplot(get(gs, (0, 0)))\n", "ax1.plot(avals, funns, linestyle=\"-\", color=get_cmap(\"plasma\")(0), label=L\"N$_2$ Warm Surface\")\n", "ax1.plot(avals, funos, linestyle=\"--\", color=get_cmap(\"plasma\")(0.1), label=L\"O$_2$ Warm Surface\")\n", "ax1.plot(avals, funncs, linestyle=\"-\", color=get_cmap(\"plasma\")(0.2), label=L\"N$_2$ Cold Surface\")\n", "ax1.plot(avals, funocs, linestyle=\"--\", color=get_cmap(\"plasma\")(0.3), label=L\"O$_2$ Cold Surface\")\n", "ax1.plot(avals, funn1k, linestyle=\"-\", color=get_cmap(\"plasma\")(0.4), label=L\"N$_2$ 1000 m Deep\")\n", "ax1.plot(avals, funo1k, linestyle=\"--\", color=get_cmap(\"plasma\")(0.5), label=L\"O$_2$ 1000 m Deep\")\n", "ax1.plot(avals, funn2k, linestyle=\"-\", color=get_cmap(\"plasma\")(0.6), label=L\"N$_2$ 2000 m Deep\")\n", "ax1.plot(avals, funo2k, linestyle=\"--\", color=get_cmap(\"plasma\")(0.7), label=L\"O$_2$ 2000 m Deep\")\n", "ax1.plot(avals, funnd, linestyle=\"-\", color=get_cmap(\"plasma\")(0.8), label=L\"N$_2$ 3500 m Deep\")\n", "ax1.plot(avals, funod, linestyle=\"--\", color=get_cmap(\"plasma\")(0.9), label=L\"O$_2$ 3500 m Deep\")\n", "#ax1.set_aspect(0.618 * 0.2 / 7500)\n", "ax1.set_xlim(-0.002, 0.202)\n", "ax1.set_ylim(-75, 7575)\n", "ax1.set_xlabel(\"Bubble Radius (m)\")\n", "ax1.set_ylabel(\"Frequency (Hz)\")\n", "\n", "ax2 = fig.add_subplot(get(gs, (0, 1)))\n", "ax2.plot(avals, fffns, linestyle=\"-\", color=get_cmap(\"plasma\")(0))\n", "ax2.plot(avals, fffos, linestyle=\"--\", color=get_cmap(\"plasma\")(0.1))\n", "ax2.plot(avals, fffncs, linestyle=\"-\", color=get_cmap(\"plasma\")(0.2))\n", "ax2.plot(avals, fffocs, linestyle=\"--\", color=get_cmap(\"plasma\")(0.3))\n", "ax2.plot(avals, fffn1k, linestyle=\"-\", color=get_cmap(\"plasma\")(0.4))\n", "ax2.plot(avals, fffo1k, linestyle=\"--\", color=get_cmap(\"plasma\")(0.5))\n", "ax2.plot(avals, fffn2k, linestyle=\"-\", color=get_cmap(\"plasma\")(0.6))\n", "ax2.plot(avals, fffo2k, linestyle=\"--\", color=get_cmap(\"plasma\")(0.7))\n", "ax2.plot(avals, fffnd, linestyle=\"-\", color=get_cmap(\"plasma\")(0.8))\n", "ax2.plot(avals, fffod, linestyle=\"--\", color=get_cmap(\"plasma\")(0.9))\n", "#ax2.set_aspect(0.618 * 0.2 / 7500)\n", "ax2.set_xlim(-0.002, 0.202)\n", "ax2.set_ylim(-75, 7575)\n", "ax2.set_xlabel(\"Bubble Radius (m)\")\n", "ax2.set_ylabel(\"Frequency (Hz)\")\n", "\n", "fig.text(0.01, 0.955, \"A\")\n", "fig.text(0.51, 0.955, \"B\")\n", "fig.legend(ncol=5, loc=\"lower center\");" ] }, { "cell_type": "code", "execution_count": 84, "metadata": {}, "outputs": [], "source": [ "fig.savefig(\"Figure1.tiff\", bbox_inches=\"tight\")\n", "fig.savefig(\"Figure1.png\", bbox_inches=\"tight\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 6. Frequency variation with depth" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define a range of depth values for function evaluation and plotting." ] }, { "cell_type": "code", "execution_count": 85, "metadata": {}, "outputs": [], "source": [ "dvals = 0:10:3500;" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 6.1. Undamped Frequency" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Arrays of `fun` values are calculated below for the depths in `dvals` using the interpolated parameters supplied by `valsn2list` and `valso2list`." ] }, { "cell_type": "code", "execution_count": 86, "metadata": {}, "outputs": [], "source": [ "funnd01 = map(d->fun(0.01, valsn2list(d)), dvals);" ] }, { "cell_type": "code", "execution_count": 87, "metadata": {}, "outputs": [], "source": [ "funnd05 = map(d->fun(0.05, valsn2list(d)), dvals);" ] }, { "cell_type": "code", "execution_count": 88, "metadata": { "tags": [] }, "outputs": [], "source": [ "funnd1 = map(d->fun(0.1, valsn2list(d)), dvals);" ] }, { "cell_type": "code", "execution_count": 89, "metadata": {}, "outputs": [], "source": [ "funod01 = map(d->fun(0.01, valso2list(d)), dvals);" ] }, { "cell_type": "code", "execution_count": 90, "metadata": {}, "outputs": [], "source": [ "funod05 = map(d->fun(0.05, valso2list(d)), dvals);" ] }, { "cell_type": "code", "execution_count": 91, "metadata": { "tags": [] }, "outputs": [], "source": [ "funod1 = map(d->fun(0.1, valso2list(d)), dvals);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 6.2. Far-Field Resonant Frequency" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Arrays of `fff` values are calculated below for the depths in `dvals` using the interpolated parameters supplied by `valsn2list` and `valso2list`." ] }, { "cell_type": "code", "execution_count": 92, "metadata": {}, "outputs": [], "source": [ "fffnd01 = map(d->fff(0.01, valsn2list(d)), dvals);" ] }, { "cell_type": "code", "execution_count": 93, "metadata": {}, "outputs": [], "source": [ "fffnd05 = map(d->fff(0.05, valsn2list(d)), dvals);" ] }, { "cell_type": "code", "execution_count": 94, "metadata": {}, "outputs": [], "source": [ "fffnd1 = map(d->fff(0.1, valsn2list(d)), dvals);" ] }, { "cell_type": "code", "execution_count": 95, "metadata": {}, "outputs": [], "source": [ "fffod01 = map(d->fff(0.01, valso2list(d)), dvals);" ] }, { "cell_type": "code", "execution_count": 96, "metadata": {}, "outputs": [], "source": [ "fffod05 = map(d->fff(0.05, valso2list(d)), dvals);" ] }, { "cell_type": "code", "execution_count": 97, "metadata": {}, "outputs": [], "source": [ "fffod1 = map(d->fff(0.1, valso2list(d)), dvals);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 6.3. Figure 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the undamped and far-field resonance frequencies vs. depth for various bubble radii. This is Fig. 2 in the paper." ] }, { "cell_type": "code", "execution_count": 98, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "heights = [3, 1]\n", "fig = figure(constrained_layout=true, dpi=300, figsize=(7.38, 4))\n", "gs = fig.add_gridspec(2, 2, height_ratios=heights)\n", "ax1 = fig.add_subplot(get(gs, (0, 0)))\n", "ax1.plot(dvals, funnd01, linestyle=\"-\", color=get_cmap(\"plasma\")(0.7), label=L\"0.01, N$_2$\")\n", "ax1.plot(dvals, funnd05, linestyle=\"-\", color=get_cmap(\"plasma\")(0.4), label=L\"0.05, N$_2$\")\n", "ax1.plot(dvals, funnd1, linestyle=\"-\", color=get_cmap(\"plasma\")(0), label=L\"0.1, N$_2$\")\n", "ax1.plot(dvals, funod01, linestyle=\"--\", color=get_cmap(\"plasma\")(0.7), label=L\"0.01, O$_2$\")\n", "ax1.plot(dvals, funod05, linestyle=\"--\", color=get_cmap(\"plasma\")(0.4), label=L\"0.05, O$_2$\")\n", "ax1.plot(dvals, funod1, linestyle=\"--\", color=get_cmap(\"plasma\")(0), label=L\"0.1, O$_2$\")\n", "ax1.set_ylim([-100, 7600])\n", "ax1.set_xlabel(\"Depth (m)\")\n", "ax1.set_ylabel(\"Frequency (Hz)\")\n", "\n", "ax2 = fig.add_subplot(get(gs, (0, 1)))\n", "ax2.plot(dvals, fffnd01, linestyle=\"-\", color=get_cmap(\"plasma\")(0.7))\n", "ax2.plot(dvals, fffnd05, linestyle=\"-\", color=get_cmap(\"plasma\")(0.4))\n", "ax2.plot(dvals, fffnd1, linestyle=\"-\", color=get_cmap(\"plasma\")(0))\n", "ax2.plot(dvals, fffod01, linestyle=\"--\", color=get_cmap(\"plasma\")(0.7))\n", "ax2.plot(dvals, fffod05, linestyle=\"--\", color=get_cmap(\"plasma\")(0.4))\n", "ax2.plot(dvals, fffod1, linestyle=\"--\", color=get_cmap(\"plasma\")(0))\n", "ax2.set_ylim([-100, 7600])\n", "ax2.set_xlabel(\"Depth (m)\")\n", "ax2.set_ylabel(\"Frequency (Hz)\")\n", "\n", "fig.text(0.01, 0.955, \"A\")\n", "fig.text(0.51, 0.955, \"B\")\n", "fig.legend(title=\"Radius (m), Gas\", ncol=2, loc=\"lower center\");" ] }, { "cell_type": "code", "execution_count": 99, "metadata": {}, "outputs": [], "source": [ "fig.savefig(\"Figure2.tiff\", bbox_inches=\"tight\")\n", "fig.savefig(\"Figure2.png\", bbox_inches=\"tight\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 7. Comparison of Far-Field Resonant Frequency to Minnaert Frequency" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this section we compare the far-field resonant frequency to the Minnaert frequency. First look at how the ratio of the two frequencies varies with bubble radius in the different environments." ] }, { "cell_type": "code", "execution_count": 100, "metadata": {}, "outputs": [], "source": [ "ffmns = map(a1 -> fff(a1, valst(\"n2\", 0)) / fMjl(a1, valst(\"n2\", 0)...), avals);\n", "ffmos = map(a1 -> fff(a1, valst(\"o2\", 0)) / fMjl(a1, valst(\"o2\", 0)...), avals);\n", "ffmncs = map(a1 -> fff(a1, valst(\"n2\", 0, temp=\"c\")) / fMjl(a1, valst(\"n2\", 0, temp=\"c\")...), avals);\n", "ffmocs = map(a1 -> fff(a1, valst(\"o2\", 0, temp=\"c\")) / fMjl(a1, valst(\"o2\", 0, temp=\"c\")...), avals);\n", "ffmn1k = map(a1 -> fff(a1, valst(\"n2\", 1000)) / fMjl(a1, valst(\"n2\", 1000)...), avals);\n", "ffmo1k = map(a1 -> fff(a1, valst(\"o2\", 1000)) / fMjl(a1, valst(\"o2\", 1000)...), avals);\n", "ffmn2k = map(a1 -> fff(a1, valst(\"n2\", 2000)) / fMjl(a1, valst(\"n2\", 2000)...), avals);\n", "ffmo2k = map(a1 -> fff(a1, valst(\"o2\", 2000)) / fMjl(a1, valst(\"o2\", 2000)...), avals);\n", "ffmnd = map(a1 -> fff(a1, valst(\"n2\", 3500)) / fMjl(a1, valst(\"n2\", 3500)...), avals);\n", "ffmod = map(a1 -> fff(a1, valst(\"o2\", 3500)) / fMjl(a1, valst(\"o2\", 3500)...), avals);" ] }, { "cell_type": "code", "execution_count": 101, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(avals, ffmns, linestyle=\"-\", color=get_cmap(\"plasma\")(0), label=L\"N$_2$ Warm Surface\");\n", "plot(avals, ffmos, linestyle=\"--\", color=get_cmap(\"plasma\")(0.1), label=L\"O$_2$ Warm Surface\");\n", "plot(avals, ffmncs, linestyle=\"-\", color=get_cmap(\"plasma\")(0.2), label=L\"N$_2$ Cold Surface\");\n", "plot(avals, ffmocs, linestyle=\"--\", color=get_cmap(\"plasma\")(0.3), label=L\"O$_2$ Cold Surface\");\n", "plot(avals, ffmn1k, linestyle=\"-\", color=get_cmap(\"plasma\")(0.4), label=L\"N$_2$ 1000 m Deep\");\n", "plot(avals, ffmo1k, linestyle=\"--\", color=get_cmap(\"plasma\")(0.5), label=L\"O$_2$ 1000 m Deep\");\n", "plot(avals, ffmn2k, linestyle=\"-\", color=get_cmap(\"plasma\")(0.6), label=L\"N$_2$ 2000 m Deep\");\n", "plot(avals, ffmo2k, linestyle=\"--\", color=get_cmap(\"plasma\")(0.7), label=L\"O$_2$ 2000 m Deep\");\n", "plot(avals, ffmnd, linestyle=\"-\", color=get_cmap(\"plasma\")(0.8), label=L\"N$_2$ 3500 m Deep\");\n", "plot(avals, ffmod, linestyle=\"--\", color=get_cmap(\"plasma\")(0.9), label=L\"O$_2$ 3500 m Deep\");\n", "xlabel(\"Bubble Radius (m)\")\n", "ylabel(\"Far Field Frequency / Minnaert Frequency\")\n", "legend(bbox_to_anchor=[1.05,1],loc=2,borderaxespad=0);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since the deep water values do not change significantly with bubble radius, use the ratios at a radius of 0.2 m for comparison." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nitrogen at depths 1000 m, 2000 m, and 3500 m" ] }, { "cell_type": "code", "execution_count": 102, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.0055089887708542" ] }, "execution_count": 102, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ffmn1k[end]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The far-field resonance frequency is a 0.5509% greater than the Minnaert frequency." ] }, { "cell_type": "code", "execution_count": 103, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.0116960118967846" ] }, "execution_count": 103, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ffmn2k[end]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The far-field resonance frequency is a 1.170% greater than the Minnaert frequency." ] }, { "cell_type": "code", "execution_count": 104, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.020188927947519" ] }, "execution_count": 104, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ffmnd[end]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The far-field resonance frequency is a 2.019% greater than the Minnaert frequency." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Oxygen at depths 1000 m, 2000 m, and 3500 m" ] }, { "cell_type": "code", "execution_count": 105, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.005702437168656" ] }, "execution_count": 105, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ffmo1k[end]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The far-field resonance frequency is a 0.5702% greater than the Minnaert frequency." ] }, { "cell_type": "code", "execution_count": 106, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.0127875030467226" ] }, "execution_count": 106, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ffmo2k[end]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The far-field resonance frequency is a 1.279% greater than the Minnaert frequency." ] }, { "cell_type": "code", "execution_count": 107, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.0224433087118485" ] }, "execution_count": 107, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ffmod[end]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The far-field resonance frequency is a 2.244% greater than the Minnaert frequency." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As seen above, the ratios for nitrogen and oxygen bubbles have the same percent difference (from 1) to one significant figure." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now look at how the ratio of the frequencies varies with depth for different bubble radii." ] }, { "cell_type": "code", "execution_count": 108, "metadata": {}, "outputs": [], "source": [ "ffmnd01 = map(d -> fff(0.01, valsn2list(d)) / fMjl(0.01, valsn2list(d)...), dvals);\n", "ffmnd05 = map(d -> fff(0.05, valsn2list(d)) / fMjl(0.05, valsn2list(d)...), dvals);\n", "ffmnd1 = map(d -> fff(0.1, valsn2list(d)) / fMjl(0.1, valsn2list(d)...), dvals);\n", "ffmod01 = map(d -> fff(0.01, valso2list(d)) / fMjl(0.01, valso2list(d)...), dvals);\n", "ffmod05 = map(d -> fff(0.05, valso2list(d)) / fMjl(0.05, valso2list(d)...), dvals);\n", "ffm0d1 = map(d -> fff(0.1, valso2list(d)) / fMjl(0.1, valso2list(d)...), dvals);" ] }, { "cell_type": "code", "execution_count": 109, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(dvals, ffmnd01, linestyle=\"-\", color=get_cmap(\"plasma\")(0.7), label=L\"0.01, N$_2$\")\n", "plot(dvals, ffmnd05, linestyle=\"-\", color=get_cmap(\"plasma\")(0.4), label=L\"0.05, N$_2$\")\n", "plot(dvals, ffmnd1, linestyle=\"-\", color=get_cmap(\"plasma\")(0), label=L\"0.1, N$_2$\")\n", "plot(dvals, ffmod01, linestyle=\":\", color=get_cmap(\"plasma\")(0.7), label=L\"0.01, O$_2$\")\n", "plot(dvals, ffmod05, linestyle=\":\", color=get_cmap(\"plasma\")(0.4), label=L\"0.05, O$_2$\")\n", "plot(dvals, ffm0d1, linestyle=\":\", color=get_cmap(\"plasma\")(0), label=L\"0.1, O$_2$\")\n", "xlabel(\"Depth (m)\")\n", "ylabel(\"Far Field Frequency / Minnaert Frequency\")\n", "legend(title=\"Radius (m), Gas\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Reformat this graph as Figure 3." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 7.1. Figure 3" ] }, { "cell_type": "code", "execution_count": 110, "metadata": {}, "outputs": [ { "data": { "image/png": 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m6+fExEQ9//zz7gsGQLF58hzpybGVBnv37tWDDz5oqmvfvr1++OEH1axZ0642GjRooJUrV6pRo0bWuuzsbI0cObJE7oHCzCOTA4GBgdbPu3fvLnZ7OdvI2bY7dOzYUbVr187zM2zYMNNxx44ds3lc7dq19dhjjzk9Li8vL3311VembN6JEyfUq1cvNWjQQIMHD9ZNN92k+vXrq3fv3qZkRkxMjL788ku7N2/t37+/XnjhBVPde++9p6uuukrdunXTsGHD1LVrV9WqVSvPOmPTpk3Ls9mwJ1wTnO/pCauUkZFtLR/PMPTo4TQtv5Cp9Gzzzf7w5tXU4B/Xm+qMjFSlfP68lJqYfydBFRU87j15+ea/rBUAAADcLyUlRYsWLTLVPfnkk4We16BBA9ON5szMTLv3PSsLsZVWkydPNv3b/f3331dsbKwbIwJQVJ48R3pybKXFY489psTEv++7hIWF6YsvvnB4CaTIyEgtWrTIlHQ5duyYpkyZ4rRYYZtHJgeioi4vC2IYhvbs2aPff/+9yG1t3brVlBy40jbyql69upYvX64WLVqY6vft26fFixdryZIlef5C1rJlSy1fvlxVq1Z1qK+nnnpKU6dOla+vr7UuJSVFa9as0fz58/XTTz8pJSXF+p2vr6+mTZumJ554wmOvCc6TmZmtWR//maf+TJah2WcydCHr7+SAl5+3Wr85wJTIMbKzlLp4hrKP783ThtWVxEBAsFNjBwAAgPMtW7ZMycnJ1nK7du3UsGFDu84dM2aMqfzll1+Wm9hKqxo1auihhx6yljMyMjRp0iQ3RgSgqDx5jvTk2EqD3bt369tvvzXVTZs2TdWqVStSe40bN87zQPSHH35oWuUDzueRyYEuXbrIx8dHFotFhmHo/vvvL9LyQmlpabr//vutZR8fH3Xp0sWZoZY5DRo00MaNG/XSSy+pTp06+R5Xt25dvfTSS9qwYYPq1atXpL4mTpyojRs3atCgQXnWcbvCz89PgwYN0qZNm+zK3triymuCczz/7E9KT8uy+V2HEG9V8f176mryZCcFVAoyHZP+0xxl7t2QfweBoSQGAAAASpGlS5eayl27drX73E6dOsnHx8da/v333526hr0nx1aaTZgwQREREdby559/ri1btrgxIgBF4clzpCfHVhq88cYbMoy/H96sXLlynqSJox5++GHTg8RJSUl5VhWBc/kUfojrRUREqE+fPvrmm29ksVi0adMm9e3bV5999pnd2aeTJ09qxIgR2rRpk/WJ4j59+pj+cuEOBW2I6yw5/49ZFL6+vpowYYImTJigLVu2aO/evdZ9IGrUqKEGDRrouuuuc0aoatGihRYvXqxz587p119/1bFjx3TmzBlVqlRJUVFRat++vcLDw4vdjyuvCcVjGIZmvpv/X/oHhv09bQXVrKDat19r+j7zwO9K/3VhvudbKl+loGFTSAwAAACUItu3bzeVc24GWZjg4GA1a9bM9Eb6jh07nPamsCfHVppVrFhREydO1OOPPy7p8r8TnnzySa1YscLNkQFwhCfPkZ4cW2mQO7ly55135vvwr72qVKmiAQMGmN7EWLp0qcMricB+HpkckKQZM2boxx9/VHp6ugzD0OrVq9WwYUONGzdOt99+u6655po868EbhqE///xT8+bN08yZM3Xp0iXr2wcBAQGaMWOGm66m9LruuutcctM8PDxc/fr1K/F+JNddE4rmpzWHlJKcafO7CG+LqufYhLj1G/1N32cnnlPq168ovw2ILaGVFTT8BXmFVnJavAAAACh5u3btMpUdfdO3bt26phs4O3fu1A033FAmYps5c6ZeeOEF7dq1S2fOnJGvr68qVaqk6OhodezYUb1791anTp0cislTjB8/Xm+99ZYOHz4sSVq5cqWWL1+uG2+80c2RAbCXu+dIT46tNM/fR48ezfMAdM+ePZ3Sds+ePU3JgQ0bNigjI8P0RgGcxyOXFZKk+vXr67333pPFYrEmAS5evKiXX35ZLVu2VGhoqJo1a6YOHTqoY8eOatasmUJDQ3XddddpxowZunjxoqTLCQMvLy+9//77LBUDlAJLFu/J97sRlf7OZ9Ye2VwVG1axlg0jW6lfvyoj6bztk/2DFHj7cyQGAAAASpmzZ8/q7NmzprpatWo51Ebu4/ft21fsuCTPiG3+/PlauXKljh8/rrS0NCUmJurQoUP6+eefNXXqVHXu3FmtW7culU/c+/v7a/Lkyaa6CRMmFPtteQCu4QlzZH48IbbSPH+vW7cuT12rVq2c0nbuB3pTUlL0xx9/OKVt5OWxbw5I0h133CEfHx/dd999SkxMtCYJDMNQcnKyduzYYaq74kpCwTAMBQcH67333tOwYcPccg0AHLPlt+M262v5WdQm5PKUFVI7XE0e7Wj6Pn39F8qKy3/z8sCBj8o7MsZpcQIAAPfJzsxW6qlEd4dR5gVUDZGXj/ufJzt//rypHBQUpOBgx5aIjIyMNJUvXLhQ3LAkeXZsOW3evFk9e/bUxIkT9cILL+R5C9+T3XnnnXrllVesy39s3bpV8+fP59/4ZUjysYs26/0rB8nbv/DbVhmJacq4kJan3svXSwGRIXbFkHLykoysvEknv7AA+QQXvkxKZkqG0s+m5P3CIgXVqGBXDKkJScpOz7v3nm+ov3wr+Bd6fnZ6lrz8vO3qy1U8eY705Nhy8tT5++jRo6Zy1apVVamScx7GbNq0qc3+Wrdu7ZT2YebRyQFJGjZsmNq3b6/x48fru+++syYBcv+fIWeSwDAMWSwW9e/fX2+++aZiYmJcHTaAIkhJydD2vxJsfter4t/TVcywa0x/6cmMP6T0n+bk267v9YPk06CN8wIFAABulXoqUSt6fuzuMMq8Hj+OUVCUfTe1SlJiojkRFBgY6HAbuc+5dOlSsWK6wp2xRUVFqW/fvrr++uvVqFEjRUREyMvLS2fOnNHWrVv17bffatmyZdbjDcPQ1KlTlZ2drZdeesnhON3Fy8tLU6dO1cCBA611kyZN0pAhQ1hioozIbz5v//Etqnx9zULPP/zlTu2Y/nOe+gpXV1bXL0fYFcMvdyxUyvG8/99r/sKNqjW4caHnJ/x6WL/989s89T6hfuq7YZxdMWx5/Aed+e1YnvoG97dRwwfaFnr+pf1nVbFRlUKPcyXmb9vKwvyd+60LZ+wXekVAQID8/f2VlvZ30i93f3Aej08OSFJ0dLS+/vprHThwQLNnz9Yvv/yizZs358nIVaxYUa1atVLHjh11xx13qE6dOm6KGEBRbPvjlDIzs21+V8//8lNrFh8vRfVpYK3Pzs5WymcTpGzb+xR4Vasn/26jnR4rAAAAXCP3DZyAgACH28h9Ayd3m0Xljtiuv/56LVu2TDfeeGO+T5C2b99eDz74oDZv3qzhw4eblrqYNm2a2rZtq0GDBjkcq7sMGDBAnTp10tq1ayVJBw4c0MyZM/Xggw+6OTIABWH+NitL83fum/VhYWFObT8sLEynTp2yls+cOePU9vG3UpEcuKJOnTp69tlnreX09HSdO3dO0uUMVXF3xAbgXr/ls6RQgEWq7nv5P5yRHaLlHxFk/S591cdSSj7Zeb9ABQ5+QhYfnigCAAAoK4qypIKrlmFwRWx9+/a1+9hWrVppw4YNateunfbu3WutnzBhgvr37y9vb89agqQg06dPV/v27a3lKVOmaPTo0QoJsW/ZGFv279+vpUuX6ueff9a2bdt09OhRpaWlKSwsTI0bN1bPnj119913q2rVqs64BKDcY/4un/N3Udj7u2UeLz73LyBZDH5+fqpataqqVq1KYgAoA7ZsPmGzvo6/l7z+/z8MNQc2tNZnJ51XxqYl+bYX0PM+eUXUcG6QAAAAcKncN39TUmys612I3OcU54ZyQe14UmxXREREaN68eaYbLbt379bq1aud2k9Ja9eunelp2fj4eM2YMaPI7Y0ePVr16tXTgw8+qM8//1y7d+9WYmKiMjIylJCQoJ9++klPP/20GjRooM8++8wZlwCUO548R3pybFd48vwdERFhKjt7v4Xce0Lk7k9iHneWUp0cAFC25LcZcd2Ay1OVT6ifqnX9e7mwlEUvSobtZYjkHySfa7o7PUYAAAC4liffwPHk2HJq2bKlevbsaapbunSp0/spaS+99JLpadlXXnlF8fHxRWrrymaaQUFBuv322/Xee+/pp59+0tatW7VkyRKNHDlSFotFFy9e1J133qkFCxY45RqA8sST50hPji0nT52/c9+sv7KyizOkpqYqNTXVVGdrs2PmcecgOQDAI5xOSNbBgxdUwUsaHOajKj5/Z8br/v9+AzV61pd3wOXV0DIP/qnso7vybS+g3z9d9vohAAAASk7FihVN5eTkZCUlJTnURu4byM5aG9mTY8utd+/epvK2bdtKpJ+S1KhRI40ePdpaTkxM1JQpU4rUVo0aNfT666/r1KlTmjdvnu6991517txZLVq00MCBAzV79mzNnTtX0uXNQB988EElJyc74zKAcsOT50hPji03T5y/o6KiTOWTJ086bV+AHTt2FNqfxDzuLKVqzwEAZdfmzZffGrg+xFu3RPjqlghf7UnJ0trELOtmxFcNbGQ9Pm3N7Hzb8oqsLd9GHUs2YAAA4DYBVUPU48cx7g6jzAuo6vwnIIuiUqVKCg8PNz2VePjwYTVq1KiAs8wOHTpkKtevX7/Mx5ZbTEyMqZyQkFAi/ZS0yZMna+7cudYndmfOnKmHH35YdevWdaidTz/9tNBjbr/9di1YsECLFy/W6dOntWLFCg0cOLBIcSN/+c3n/pWDbNbnVuvmxqrePe+fv5ev/c/Ddpx9q4wsI0+9X5h9m9RWaV/L9nU48Lzadf/po+z0rDz1vqH+dp0fWjfvsivu5slzpCfHlpsnzt8594C5YvPmzerVq1ex2968ebOpHBgYqObNm+c5jnncOUgOAPAIP3wXK0mq6/f3356uDvTW1YGXXxv2CfFTRMvL+wdkJ55T9sn9+bR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"text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = figure(dpi=300, figsize=[5.5,3.5])\n", "plot(dvals, ffmnd01, linestyle=\"-\", color=get_cmap(\"plasma\")(0.7), label=L\"0.01, N$_2$\")\n", "plot(dvals, ffmnd05, linestyle=\"-\", color=get_cmap(\"plasma\")(0.4), label=L\"0.05, N$_2$\")\n", "plot(dvals, ffmnd1, linestyle=\"-\", color=get_cmap(\"plasma\")(0), label=L\"0.1, N$_2$\")\n", "plot(dvals, ffmod01, linestyle=\":\", color=get_cmap(\"plasma\")(0.7), label=L\"0.01, O$_2$\")\n", "plot(dvals, ffmod05, linestyle=\":\", color=get_cmap(\"plasma\")(0.4), label=L\"0.05, O$_2$\")\n", "plot(dvals, ffm0d1, linestyle=\":\", color=get_cmap(\"plasma\")(0), label=L\"0.1, O$_2$\")\n", "xlabel(\"Depth (m)\")\n", "ylabel(\"Far Field Frequency / Minnaert Frequency\")\n", "legend(title=\"Radius (m), Gas\", ncol=2, loc=\"lower right\");" ] }, { "cell_type": "code", "execution_count": 111, "metadata": {}, "outputs": [], "source": [ "fig.savefig(\"Figure3.tiff\", bbox_inches=\"tight\")\n", "fig.savefig(\"Figure3.png\", bbox_inches=\"tight\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 8. Normalized Parameters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this section we investigate the scaling properties of the scattering coefficient and the resonant frequencies. We normalize the scattering coefficient by dividing it by the bubble surface area $4\\pi a^2$, and we normalize the frequency values by dividing by $f_{\\mathrm{nat}}$. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Create a function for the normalized scattering coefficient." ] }, { "cell_type": "code", "execution_count": 112, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "σsjlnorm (generic function with 1 method)" ] }, "execution_count": 112, "metadata": {}, "output_type": "execute_result" } ], "source": [ "σsjlnorm(a1, ρ, pw, μ, σ, c, dd, γ, f1) = σsjl(a1, ρ, pw, μ, σ, c, dd, γ, f1)/(4*π*a1^2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Produce a list of normalized frequency values to use for graphs. Use 1000 points to get sufficient resolution near peaks of $\\sigma_s'$." ] }, { "cell_type": "code", "execution_count": 113, "metadata": {}, "outputs": [], "source": [ "fnorm = exp10.(range(log10(0.01), stop=log10(5), length=1000));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 8.1. Nitrogen" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now produce arrays of normalized scattering coefficient values for each normalized frequency value in `fnorm`. Since the `σsjlnorm` function needs the frequency value instead of the normalized frequency value (because it was defined using the non-normalized scattering coefficient function), we multiply the normalized frequency values by the undamped frequency in the arguments of `σsjlnorm`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 8.1.1. Warm Surface" ] }, { "cell_type": "code", "execution_count": 114, "metadata": {}, "outputs": [], "source": [ "σsns1 = map(f1->σsjlnorm(0.1, valst(\"n2\", 0)..., f1), \n", " fun(0.1, valst(\"n2\", 0)) .* fnorm);" ] }, { "cell_type": "code", "execution_count": 115, "metadata": {}, "outputs": [], "source": [ "σsns05 = map(f1->σsjlnorm(0.05, valst(\"n2\", 0)..., f1), \n", " fun(0.05, valst(\"n2\", 0)) .* fnorm);" ] }, { "cell_type": "code", "execution_count": 116, "metadata": {}, "outputs": [], "source": [ "σsns01 = map(f1->σsjlnorm(0.01, valst(\"n2\", 0)..., f1), \n", " fun(0.01, valst(\"n2\", 0)) .* fnorm);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Graph the normalized scattering coefficient vs. normalized frequency for these three bubble radii." ] }, { "cell_type": "code", "execution_count": 117, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = subplots()\n", "ax.semilogx(fnorm, σsns01, linestyle=\"-\", color=get_cmap(\"plasma\")(0))\n", "ax.semilogx(fnorm, σsns05, linestyle=\"--\", color=get_cmap(\"plasma\")(0.5))\n", "ax.semilogx(fnorm, σsns1, linestyle=\":\", color=get_cmap(\"plasma\")(0.8))\n", "ax.set_xlabel(\"Normalized Frequency\")\n", "ax.set_ylabel(L\"${\\sigma_s}'$\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is Fig. 3(a) in the paper." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Get the maximum values for comparison." ] }, { "cell_type": "code", "execution_count": 118, "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "3700.0589172766777" ] }, "execution_count": 118, "metadata": {}, "output_type": "execute_result" } ], "source": [ "maximum((maximum(σsns1), maximum(σsns05), maximum(σsns01)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 8.1.2. Cold Surface" ] }, { "cell_type": "code", "execution_count": 119, "metadata": {}, "outputs": [], "source": [ "σsncs1 = map(f1->σsjlnorm(0.1, valst(\"n2\", 0, temp=\"cold\")..., f1), fun(0.1, valst(\"n2\", 0, \n", " temp=\"cold\")) .* fnorm);" ] }, { "cell_type": "code", "execution_count": 120, "metadata": {}, "outputs": [], "source": [ "σsncs05 = map(f1->σsjlnorm(0.05, valst(\"n2\", 0, temp=\"cold\")..., f1), fun(0.05, valst(\"n2\", 0, \n", " temp=\"cold\")) .* fnorm);" ] }, { "cell_type": "code", "execution_count": 121, "metadata": {}, "outputs": [], "source": [ "σsncs01 = map(f1->σsjlnorm(0.01, valst(\"n2\", 0, temp=\"cold\")..., f1), fun(0.01, valst(\"n2\", 0, \n", " temp=\"cold\")) .* fnorm);" ] }, { "cell_type": "code", "execution_count": 122, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "semilogx(fnorm, σsncs01, linestyle=\"-\", color=get_cmap(\"plasma\")(0))\n", "semilogx(fnorm, σsncs05, linestyle=\"--\", color=get_cmap(\"plasma\")(0.5))\n", "semilogx(fnorm, σsncs1, linestyle=\":\", color=get_cmap(\"plasma\")(0.8))\n", "xlabel(\"Normalized Frequency\")\n", "ylabel(L\"${\\sigma_s}'$\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is Fig. 3(c) in the paper." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Get the maximum values for comparison." ] }, { "cell_type": "code", "execution_count": 123, "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "3503.349100567182" ] }, "execution_count": 123, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mcsn = maximum((maximum(σsncs1), maximum(σsncs05), maximum(σsncs01)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 8.1.3. Depth 1000 m" ] }, { "cell_type": "code", "execution_count": 124, "metadata": {}, "outputs": [], "source": [ "σsn1k1 = map(f1->σsjlnorm(0.1, valst(\"n2\", 1000, temp=\"cold\")..., f1), fun(0.1, valst(\"n2\", 1000, \n", " temp=\"cold\")) .* fnorm);" ] }, { "cell_type": "code", "execution_count": 125, "metadata": {}, "outputs": [], "source": [ "σsn1k05 = map(f1->σsjlnorm(0.05, valst(\"n2\", 1000, temp=\"cold\")..., f1), fun(0.05, valst(\"n2\", 1000, \n", " temp=\"cold\")) .* fnorm);" ] }, { "cell_type": "code", "execution_count": 126, "metadata": {}, "outputs": [], "source": [ "σsn1k01 = map(f1->σsjlnorm(0.01, valst(\"n2\", 1000, temp=\"cold\")..., f1), fun(0.01, valst(\"n2\", 1000, \n", " temp=\"cold\")) .* fnorm);" ] }, { "cell_type": "code", "execution_count": 127, "metadata": {}, "outputs": [ { "data": { "image/png": "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