{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "peripheral-pontiac",
   "metadata": {},
   "source": [
    "# Systems of ODEs and Higher Order ODEs\n",
    "\n",
    "**Version of 2022-10-11**"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "meaningful-saturday",
   "metadata": {},
   "source": [
    "**References:**\n",
    "\n",
    "- Section 6.3 *Systems of Ordinary Differential Equations* in [Sauer](../frontmatter/references.html#Sauer),\n",
    "just to Sub-section 6.3.1 *Higher order equations*.\n",
    "- Section 5.9 *Higher Order Equations and Systems of Differential Equations* in [Burden&Faires](../frontmatter/references.html#Burden-Faires)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "parental-crash",
   "metadata": {},
   "source": [
    "The short version of this section is that the numerical methods and algorithms developed so for for the initial value problem"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "flexible-cycling",
   "metadata": {},
   "source": [
    "$$\n",
    "\\begin{split}\n",
    "\\frac{d u}{d t} &= f(t, u(t)), \\quad a \\leq t \\leq b\n",
    "\\\\\n",
    "u(a) &= u_0\n",
    "\\end{split}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "african-large",
   "metadata": {},
   "source": [
    "all also work for system of first order ODEs by simply letting $u$ and $f$ be vector-valued,\n",
    "and for that, the Python code requires only one small change.\n",
    "\n",
    "Also, higher order ODE's (and systems of them) can be converted into systems of first order ODEs."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d3648552-50b3-440b-98d3-289bda34fcde",
   "metadata": {},
   "source": [
    "## Converting a second order ODE to a first order system\n",
    "\n",
    "To convert \n",
    "\n",
    "$$ y'' = f(t, y, y') $$\n",
    "with initial conditions\n",
    "\n",
    "$$y(a) = y_0, \\; y'(a) = v_0$$\n",
    "\n",
    "to a first order system, introduction the two functions\n",
    "\n",
    "$$\n",
    "\\begin{split}\n",
    "u_1(t) &= y(t)\n",
    "\\\\\n",
    "u_2(t) &= \\frac{d y}{d t}, = u_1'(t)\n",
    "\\end{split}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9de44ddd-10a1-4a3a-bfbb-d867ee442795",
   "metadata": {},
   "source": [
    "Then\n",
    "\n",
    "$$\n",
    "y'' = u_1' = f(t, u_0, u_1)\n",
    "$$\n",
    "\n",
    "and combining with the definition of $u_1$ gives the system\n",
    "\n",
    "$$\n",
    "\\begin{split}\n",
    "u_0' &= u_1\n",
    "\\\\\n",
    "u_1' &= f(t, u_0, u_1)\n",
    "\\\\\n",
    "&\\text{with initial conditions}\n",
    "\\\\\n",
    "u_0(a) &= y_0\n",
    "\\\\\n",
    "u_1(a) &= v_0\n",
    "\\end{split}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6796c787-5f93-4b6f-830b-9ec2e351364b",
   "metadata": {},
   "source": [
    "Next this can be put into vector form.\n",
    "Defining the vector-valued functions\n",
    "\n",
    "$$\n",
    "\\begin{split}\n",
    "\\tilde{u}(t) &= \\langle u_1(t), u_2(t) \\rangle\n",
    "\\\\\n",
    "\\tilde{f}(t, \\tilde{u}(t)) &= \\left\\langle u_1(t), f(t, u_2(t), u_2(t)) \\right\\rangle\n",
    "\\end{split}\n",
    "$$\n",
    "\n",
    "and initial data vector\n",
    "\n",
    "$$\\tilde{u}_0 = \\langle u_{0,1}, u_{0,2} \\rangle = \\langle y_0, v_0 \\rangle$$\n",
    "\n",
    "puts the equation into the form\n",
    "\n",
    "$$\n",
    "\\begin{split}\n",
    "\\frac{d \\tilde{u}}{d t} &= \\tilde{f}(t, \\tilde{u}(t)), \\quad a \\leq t \\leq b\n",
    "\\\\\n",
    "\\tilde{u}(a) &= \\tilde{u}_0\n",
    "\\end{split}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c7adbce0-d5b2-4286-8dba-dcae7bb2ac84",
   "metadata": {},
   "source": [
    "$$\n",
    "\\begin{split}\n",
    "\\frac{d \\tilde{u}}{d t} &= \\tilde{f}(t, \\tilde{u}(t)), \\quad a \\leq t \\leq b\n",
    "\\\\\n",
    "\\tilde{u}(a) &= \\tilde{u}_0\n",
    "\\end{split}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ec92e12a-9b98-4226-9cf3-cb69d22dab18",
   "metadata": {},
   "source": [
    "## Test Cases\n",
    "\n",
    "In this and subsequent sections, numerical methods for higher order equations and systems wil be compared using several test cases:"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "annual-complex",
   "metadata": {},
   "source": [
    "### Motion of a (Damped) Mass-Spring System in One Dimension\n",
    "\n",
    "A simple mathematical model of a damped mass-spring system is\n",
    "\n",
    "$$\n",
    "\\begin{split}\n",
    "M \\frac{d^2 y}{d t^2} &= -K y - D \\frac{d y}{d t}\n",
    "\\\\\n",
    "& \\text{with initial conditions}\n",
    "\\\\\n",
    "y(a) &= y_0\n",
    "\\\\\n",
    "\\left. \\frac{dy}{dt} \\right|_{t=a} &= v_0\n",
    "\\end{split}\n",
    "$$\n",
    "\n",
    "where $K$ is the spring constant and $D$ is the coefficient of friction, or drag."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "779f491a-5d41-4e28-aa81-66773783595c",
   "metadata": {},
   "source": [
    "The first order system form can be left in terms of $y$ and $y'$ as\n",
    "\n",
    "$$\n",
    "\\frac{d}{dt} \\left[\\begin{array}{c} y \\\\ y' \\end{array}\\right] =\n",
    "\\left[\\begin{array}{cc} 0 & 1 \\\\ -K & -D \\end{array}\\right] \\left[\\begin{array}{c} y \\\\ y' \\end{array}\\right]\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cea8d679-2bd4-444f-a818-378f584a272e",
   "metadata": {},
   "source": [
    "#### Exact solutions\n",
    "\n",
    "For testing of numerical methods in this and subsequent sections, here are the exact solutions.\n",
    "\n",
    "They depend on whether\n",
    "- $D < D_0 := 2 \\sqrt{K M}$: *underdamped*,\n",
    "- $D > D_0$ : *overdamped*, or\n",
    "- $D = D_0$ : *critically damped*.\n",
    "\n",
    "We will mostly explore the first two more \"generic\" cases."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cc3b5c3b-9839-4370-bf9f-b70191f131b8",
   "metadata": {},
   "source": [
    "For the underdamped case, the general solution is\n",
    "\n",
    "$$\n",
    "y(t) = e^{-(D/(2M)) (t-a)} [ A \\cos(\\omega(t-a)) + B \\sin (\\omega(t-a))],\n",
    "\\quad \\omega = \\frac{\\sqrt{4KM - D^2}}{2M}\n",
    "$$\n",
    "\n",
    "For the above initial conditions, $A = y_0$ and $B = (v_0 + y_0 D/(2M)/\\omega$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a8f929e9-f974-4500-b180-4d6e86c0eb12",
   "metadata": {},
   "source": [
    "An important special case of this is the undamped system $M \\frac{d^2 y}{d t^2} = -K y$\n",
    "for which the solutions become\n",
    "\n",
    "$$\n",
    "y(t) = A \\cos(\\omega(t-a)) + B \\sin (\\omega(t-a)), \\quad \\omega =\\sqrt{K/M}\n",
    "$$\n",
    "\n",
    "and it can be verified that the \"energy\"\n",
    "\n",
    "$$\n",
    "E(t) = \\frac{M}{2}(y'(t))^2 + \\frac{K}{2}(y(t))^2\n",
    "= \\frac{1}{2}(K u_1^2 + {M}u_2^2)\n",
    "$$\n",
    "\n",
    "is conserved: $dE/dt = 0$.\n",
    "Conserved quantities can provide a useful check of the acccuracy of numerical method, so we will look at this below."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "00c2a4af-78da-4925-a72b-17b60404fb1e",
   "metadata": {},
   "source": [
    "For the overdamped case, the general solution is\n",
    "\n",
    "$$\n",
    "y(t) = A e^{\\lambda_+ (t-a)} + B e^{\\lambda_- (t-a)},\n",
    "\\quad\n",
    "\\lambda_\\pm = \\frac{-D \\pm \\Delta}{2M},\\; \\Delta = \\sqrt{D^2 - 4KM}\n",
    "$$\n",
    "\n",
    "For the above initial conditions,\n",
    "$A = M(v_0 - \\lambda_- y_0)/\\Delta$ and $B = y_0 - A$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "15a15044-3d8c-49f5-9fde-e6a30a9807b9",
   "metadata": {},
   "source": [
    "**Note on stiffness.**\n",
    "Fixing $M$ and scaling $K = D \\to \\infty$, $\\Delta = D \\sqrt{1 - 4M/D} \\approx D - 2M$ so\n",
    "\n",
    "$$\n",
    "\\lambda_- \\approx -\\frac{D}{M} + 1 \\to -\\infty,\n",
    "\\quad\n",
    "\\lambda_+ \\approx -1.\n",
    "$$\n",
    "\n",
    "Thus the time scales of the two exponential decays become hugely different,\n",
    "with the fast term $B e^{\\lambda_- (t-a)}$ becoming negligible compared to the slower decaying $A e^{\\lambda_+ (t-a)}$.\n",
    "\n",
    "This is a simple example of **stiffness**, and influences the choice of a good numerical method for solving such equations."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "361121cf-1342-4f2f-a0c5-3e2eb9253a31",
   "metadata": {},
   "source": [
    "The variable can be rescaled to the case $K = M = 1$, so that will be done from now on,\n",
    "but of course you can easily experiment with other parameter values by editing copies of the Jupyter notebooks."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6610f80e-3f11-418c-8a70-6558c6eb282e",
   "metadata": {},
   "source": [
    "### A \"Fast-Slow\" Equation\n",
    "\n",
    "The equation\n",
    "\n",
    "$$ y'' + (K+1) y' + K y = 0, \\quad y(0) = y_0, y'(0) = v_0 $$\n",
    "\n",
    "has first order system form\n",
    "\n",
    "$$\n",
    "\\frac{d}{dt} \\left[\\begin{array}{c} y \\\\ y' \\end{array}\\right] =\n",
    "\\left[\\begin{array}{cc} 0 & 1 \\\\ -K & -(K+1) \\end{array}\\right] \\left[\\begin{array}{c} y \\\\ y' \\end{array}\\right]\n",
    "$$\n",
    "\n",
    "and the general solution\n",
    "\n",
    "$$ y(t) = A e^{-t} + B e^{-Kt} $$\n",
    "\n",
    "so for large $K$, it has two very disparate time scales, with only the slower scale of much significance after an initial transient.\n",
    "\n",
    "This is a convenient \"toy\" example for testing two refinements to algorithms:\n",
    "- Variable time step sizes, so that they can be short during the initial transient and longer later, when only the $e^{-t}$ behavior is significant.\n",
    "- Implicit methods that can effectively suppress the fast but extremely small $e^{-kt}$ terms while hanling the larger, slower terms accurately."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4ced6306-7b83-446b-8d8d-f894b91e1f17",
   "metadata": {},
   "source": [
    "The examples below will use $K=100$, but as usual, you are free to experiment with other values."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "834e22d8-818a-41ac-a214-650c6c398c5c",
   "metadata": {},
   "source": [
    "### The Freely Rotating Pendulum\n",
    "\n",
    "Both the above equations are constant coefficient linear, which is convenient for the sake of having exact solution to compare with,\n",
    "but one famous nonlinear example is worth exporing too.\n",
    "\n",
    "A pendulum with mass $m$ concentrated at a distnace $L$ from the axis of rotation and that can rotate freely in a vertical plane about that axis and with possible friction proportional to $D$, can be modeled in terms of its angular position $\\theta$ and angular velocity $\\omega = \\theta'$ by\n",
    "\n",
    "$$ M L \\theta'' = -M g\\sin\\theta - D L \\theta',  \\quad \\theta(0) = \\theta_0, \\theta'(0) = \\omega_0 $$\n",
    "\n",
    "or in system form\n",
    "\n",
    "$$\n",
    "\\frac{d}{dt} \\left[\\begin{array}{c} \\theta \\\\ \\omega \\end{array}\\right] =\n",
    "    \\left[\\begin{array}{c}\\omega \\\\ -\\frac{g}{L}\\sin\\theta -\\frac{D}{M} \\omega \\end{array}\\right]\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "67fed3d5-2d1f-4bd0-ae2d-eaed50297042",
   "metadata": {},
   "source": [
    "These notes will mostly look at the frictionelss case $D=0$, which has conserved energy\n",
    "\n",
    "$$ E(\\theta, \\omega) = \\frac{ML}{2} \\omega^2 - M g\\cos\\theta $$\n",
    "\n",
    "For this, the solution fall into three qualitatively different cases depending on whether the energy is less than, equal to, or greater than\n",
    "the \"critical energy\" $Mg$,\n",
    "which is the energy of the unstable stationary solutions $\\theta(t) = \\pi (\\mod 2\\pi)$, $\\omega(t) = 0$: \"balancing at the top\":\n",
    "\n",
    "- For $E < Mg$, a solution can never reach the top, so the pendulum rocks back and forth, reach maximum height at\n",
    "$\\theta = \\pm \\arccos(-E/(Mg))$\n",
    "\n",
    "- For $E > Mg$, solutions have angular speed $|\\omega| \\geq \\sqrt{E -Mg} > 0$ so it never drops to zero, and so the direction of rotation can never reverse:\n",
    "solutions rotate in one direction for ever.\n",
    "\n",
    "- For $E = Mg$, one special type of solution is those up-side down stationary ones.\n",
    "Any other solution always has $|\\omega| = \\sqrt{E - Mg\\cos\\theta} > 0$, and so never stops or reverses direction but instead approaches the above stationary point asymptotically both as $t \\to \\infty$ and $t \\to \\infty$.\n",
    "To visualize concretely, the solution starting at the bottom with $\\theta(0) = 0$, $\\omega(0) = \\sqrt{2g/L}$ has\n",
    "$\\theta(t) \\to \\pm \\pi$ and $\\omega(t) \\to 0$ as $t \\to \\pm\\infty$.\n",
    "\n",
    "**Aside.** This last kind of special solution is known as a **separatrix** due to separating the other two qualitatively different sorts of solution.\n",
    "They are also known as **heteroclinic orbits**, for \"asymptotically\" starting and ending at different stationary solutions in each time direction — or **homoclinic** if you consider the angle as a \"mod $2\\pi$\" value describing a position, so that $\\theta = \\pm\\pi$ are the same location and the solutions start and end at the same stationary point."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "5f1a6f99-c13a-449f-881f-9bd3dab67dd5",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: replacing module NumericalMethods.\n",
      "WARNING: ignoring conflicting import of NumericalMethods.approx4 into Main\n"
     ]
    }
   ],
   "source": [
    "using PyPlot\n",
    "include(\"NumericalMethods.jl\")\n",
    "using .NumericalMethods: approx4"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "69c99147-79e2-48a2-a749-55226fa1db9c",
   "metadata": {},
   "source": [
    "## Example A. The Damped Mass-Spring System"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "local-congress",
   "metadata": {},
   "outputs": [],
   "source": [
    "f_mass_spring(t, u) = [ u[2], -(k/M)*u[1] - (D/M)*u[2] ];"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "5907cc57-a99d-47cb-a875-57d7338c016f",
   "metadata": {},
   "outputs": [],
   "source": [
    "E_mass_spring(u) = (K * u[1]^2 + M * u[2]^2)/2;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "234f605d-fc04-4f12-a64a-735a32094e37",
   "metadata": {},
   "outputs": [],
   "source": [
    "function y_mass_spring(t; t_0, u_0, k, M, D)\n",
    "    (y_0, v_0) = u_0\n",
    "        #println(\"y_0=$y_0, v_0=$v_0\")\n",
    "    discriminant = D^2 - 4k*M\n",
    "    if discriminant < 0  # underdamped\n",
    "        omega = sqrt(4k*M - D^2)/(2M)\n",
    "        A = y_0\n",
    "        B = (v_0 + y_0*D/(2M))/omega\n",
    "            #println(\"Underdamped, A=$A, B=$B\")\n",
    "        return exp(-D/(2M)*(t-t_0)) * ( A*cos(omega*(t-t_0)) + B*sin(omega*(t-t_0)))\n",
    "    elseif discriminant > 0  # overdamped\n",
    "        Delta = sqrt(discriminant)\n",
    "        lambda_plus = (-D + Delta)/(2M)\n",
    "        lambda_minus = (-D - Delta)/(2M)\n",
    "        A = M*(v_0 - lambda_minus * y_0)/Delta\n",
    "        B = y_0 - A\n",
    "            #println(\"Overdamped, A=$A, B=$B\")\n",
    "        return A*exp(lambda_plus*(t-t_0)) + B*exp(lambda_minus*(t-t_0))\n",
    "    else\n",
    "        lambda = -D/(2M)\n",
    "        A = y_0\n",
    "        B = v_0 - A * lambda\n",
    "            #println(\"Critically damped, A=$A, B=$B\")\n",
    "        return (A + B*t)*exp(lambda*(t-t_0))\n",
    "    end\n",
    "end;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "a0c12b7d-cf44-4bc4-84b8-b0d4f2f44543",
   "metadata": {},
   "outputs": [],
   "source": [
    "function damping(k, M, D)\n",
    "    if D == 0\n",
    "        println(\"Undamped\")\n",
    "    else\n",
    "        discriminant = D^2 - 4k*M\n",
    "        if discriminant < 0\n",
    "            println(\"Underdamped\")\n",
    "        elseif discriminant > 0\n",
    "            println(\"Overdamped\")\n",
    "        else\n",
    "            println(\"Critically damped\")\n",
    "        end\n",
    "    end\n",
    "end;"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3ceea8b7-3305-454c-b506-97805830d18b",
   "metadata": {},
   "source": [
    "The above functions are available in module `NumericalMethods`;\n",
    "they will be used in later sections."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fundamental-relations",
   "metadata": {},
   "source": [
    "The Euler's method code from before does not quite work, but only slight modification is needed;\n",
    "that \"scalar\" version"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "b701848e-6bab-42c4-a6cb-e5738d950f39",
   "metadata": {},
   "outputs": [],
   "source": [
    "function eulermethod(f, a, b, u_0, n)    \n",
    "    h = (b-a)/n\n",
    "    t = range(a, b, n+1)\n",
    "    U = zeros(n+1)\n",
    "    U[1] = u_0\n",
    "    for i in 1:n\n",
    "        U[i+1] = U[i] + f(t[i], U[i])*h\n",
    "    end\n",
    "    return (t, U)\n",
    "end;"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "genetic-stadium",
   "metadata": {},
   "source": [
    "becomes "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "1efee9b5-ef75-49b9-96ae-8014223ee3c3",
   "metadata": {},
   "outputs": [],
   "source": [
    "function eulermethod_system(f, a, b, u_0, n)\n",
    "    # TO DO: one could use multiple dispatch to keep the name \"eulermethod\".\n",
    "    # The conversion for the system version is mainly \"U[i] -> U[i,:]\"\n",
    "    \n",
    "    h = (b-a)/n\n",
    "    t = range(a, b, n+1)\n",
    "    \n",
    "    # The following three lines and the one in the for loop below change for the system version\n",
    "    n_unknowns = length(u_0)\n",
    "    U = zeros(n+1, n_unknowns)\n",
    "    U[1,:] = u_0  # Only for system version\n",
    "\n",
    "    for i in 1:n\n",
    "        U[i+1,:] = U[i,:] + f(t[i], U[i,:])*h  # For the system version\n",
    "    end\n",
    "    return (t, U)\n",
    "end;"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a95a9c85-c496-4a16-b377-a3a92e492ba1",
   "metadata": {},
   "source": [
    "**Note.** Here and below, these notes follow the convention of Using lowercase letters for exact solutions; uppercase for numerical approximations."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "04de4d7e-2c67-4d17-8a91-c537e8f51705",
   "metadata": {},
   "source": [
    "### Solving the (Damped) Mass-Spring System"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d4c345ba-0e99-4632-80cb-9ed22348f14e",
   "metadata": {
    "tags": []
   },
   "source": [
    "#### First, undamped, so with sinusoidal solutions\n",
    "\n",
    "Note: the orbits go clockwise for undamped and underdamped systems."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "016f4523-d1bd-4786-ad10-c2bd3e2602f3",
   "metadata": {},
   "outputs": [
    {
     "ename": "LoadError",
     "evalue": "BoundsError",
     "output_type": "error",
     "traceback": [
      "BoundsError",
      "",
      "Stacktrace:",
      "  [1] getindex",
      "    @ ./number.jl:98 [inlined]",
      "  [2] E_mass_spring(u::Float64)",
      "    @ Main ./In[15]:1",
      "  [3] _broadcast_getindex_evalf",
      "    @ ./broadcast.jl:670 [inlined]",
      "  [4] _broadcast_getindex",
      "    @ ./broadcast.jl:643 [inlined]",
      "  [5] getindex",
      "    @ ./broadcast.jl:597 [inlined]",
      "  [6] copy",
      "    @ ./broadcast.jl:899 [inlined]",
      "  [7] materialize(bc::Base.Broadcast.Broadcasted{Base.Broadcast.DefaultArrayStyle{2}, Nothing, typeof(E_mass_spring), Tuple{Matrix{Float64}}})",
      "    @ Base.Broadcast ./broadcast.jl:860",
      "  [8] top-level scope",
      "    @ In[20]:44",
      "  [9] eval",
      "    @ ./boot.jl:368 [inlined]",
      " [10] include_string(mapexpr::typeof(REPL.softscope), mod::Module, code::String, filename::String)",
      "    @ Base ./loading.jl:1428"
     ]
    }
   ],
   "source": [
    "M = 1.0\n",
    "K = 1.0\n",
    "D = 0.0\n",
    "u_0 = [1.0, 0.0]\n",
    "a = 0.0\n",
    "periods = 4\n",
    "b = 2pi * periods\n",
    "\n",
    "stepsperperiod = 500\n",
    "n = Int(stepsperperiod * periods)\n",
    "\n",
    "(t, U) = eulermethod_system(f_mass_spring, a, b, u_0, n)\n",
    "Y = U[:,1]\n",
    "DY = U[:,2]\n",
    "y = y_mass_spring.(t; t_0=a, u_0=u_0, k=k, M=M, D=D)  # Exact solution\n",
    "\n",
    "figure(figsize=[10,4])\n",
    "title(\"y for k/M=$(k/M), D=$D by Euler's method with $periods periods, $stepsperperiod steps per period\")\n",
    "plot(t, Y, label=\"y computed\")\n",
    "plot(t, y, label=\"exact solution\")\n",
    "xlabel(\"t\")\n",
    "legend()\n",
    "grid(true)\n",
    "\n",
    "figure(figsize=[10,4])\n",
    "title(\"Error in Y\")\n",
    "plot(t, y-Y)\n",
    "xlabel(\"t\")\n",
    "grid(true)\n",
    "\n",
    "# Phase plane diagram; for D=0 the exact solutions are ellipses (circles if M = k)\n",
    "figure(figsize=[6,6])  # Make axes equal length; orbits should be circular or \"circular spirals\" \n",
    "title(\"The orbit\")\n",
    "plot(Y, DY)\n",
    "xlabel(\"y\")\n",
    "ylabel(\"dy/dt\")\n",
    "plot(Y[1], DY[1], \"g*\", label=\"start\")\n",
    "plot(Y[end], DY[end], \"r*\", label=\"end\")\n",
    "legend()\n",
    "grid(true)\n",
    "\n",
    "figure(figsize=[10,4])\n",
    "E_0 = E_mass_spring(u_0)\n",
    "E = E_mass_spring.(U)\n",
    "title(\"Energy variation\")\n",
    "plot(t, E .- E_0)\n",
    "xlabel(\"t\")\n",
    "grid(true)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e03bb601-ae0a-447a-8632-4d4ce2834c61",
   "metadata": {
    "tags": []
   },
   "source": [
    "#### Damped"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "cc61ecc7-93dd-43c1-b0e1-b0832bac8e13",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Underdamped\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 600x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "D = 0.5 # Underdamped: decaying oscillations\n",
    "#D = 2 # Critically damped\n",
    "#D = 2.1 # Overdamped: exponential decay\n",
    "\n",
    "periods = 4\n",
    "b = 2pi * periods\n",
    "\n",
    "stepsperperiod = 500\n",
    "n = Int(stepsperperiod * periods)\n",
    "\n",
    "(t, U) = eulermethod_system(f_mass_spring, a, b, u_0, n)\n",
    "Y = U[:,1]\n",
    "DY = U[:,2]\n",
    "y = y_mass_spring.(t; t_0=a, u_0=u_0, k=k, M=M, D=D)  # Exact solution\n",
    "\n",
    "damping(k, M, D)\n",
    "\n",
    "figure(figsize=[10,4])\n",
    "title(\"y for k/M=$(k/M), D=$D by Euler's method with $periods periods, $stepsperperiod steps per period\")\n",
    "plot(t, Y, label=\"y computed\")\n",
    "plot(t, y, label=\"exact solution\")\n",
    "xlabel(\"t\")\n",
    "legend()\n",
    "grid(true)\n",
    "\n",
    "figure(figsize=[10,4])\n",
    "title(\"Error in Y\")\n",
    "plot(t, y-Y)\n",
    "xlabel(\"t\")\n",
    "grid(true)\n",
    "\n",
    "# Phase plane diagram; for D=0 the exact solutions are ellipses (circles if M = k)\n",
    "figure(figsize=[6,6])  # Make axes equal length; orbits should be circular or \"circular spirals\" \n",
    "title(\"The orbit\")\n",
    "plot(Y, DY)\n",
    "xlabel(\"y\")\n",
    "ylabel(\"dy/dt\")\n",
    "plot(Y[1], DY[1], \"g*\", label=\"start\")\n",
    "plot(Y[end], DY[end], \"r*\", label=\"end\")\n",
    "legend()\n",
    "grid(true)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "loose-ratio",
   "metadata": {},
   "source": [
    "## The \"Classical\" Runge-Kutta Method, Extended to Systems of Equations\n",
    "\n",
    "As above, the previous \"scalar\" function for this method needs just three lines of code modified."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "international-possibility",
   "metadata": {},
   "source": [
    "Before:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "aa00860e-ee93-4f16-afd1-3abe84ab2225",
   "metadata": {},
   "outputs": [],
   "source": [
    "function rungekutta(f, a, b, u_0, n)\n",
    "    # Use the (classical) Runge-Kutta Method to solve\n",
    "    #    du/dt = f(t, u) for t in [a, b], with initial value u(a) = u_0\n",
    "    \n",
    "    h = (b-a)/n\n",
    "    t = range(a, b, n+1)\n",
    "    u = zeros(length(t))\n",
    "    u[1] = u_0\n",
    "    for i in 1:n\n",
    "        K_1 = f(t[i], u[i])*h\n",
    "        K_2 = f(t[i]+h/2, u[i]+K_1/2)*h\n",
    "        K_3 = f(t[i]+h/2, u[i]+K_2/2)*h\n",
    "        K_4 = f(t[i]+h, u[i]+K_3)*h\n",
    "        u[i+1] = u[i] + (K_1 + 2*K_2 + 2*K_3 + K_4)/6\n",
    "    end\n",
    "    return (t, u)\n",
    "end;"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "regional-meaning",
   "metadata": {},
   "source": [
    "After:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "868f732a-8a97-479c-bf67-60c9b78e3b91",
   "metadata": {},
   "outputs": [],
   "source": [
    "function rungekutta_system(f, a, b, u_0, n)\n",
    "    # Use the (classical) Runge-Kutta Method to solve\n",
    "    #    du/dt = f(t, u) for t in [a, b], with initial value u(a) = u_0\n",
    "    # The conversion for the system version is mainly \"u[i] -> u[i,:]\"\n",
    "\n",
    "    h = (b-a)/n\n",
    "    t = range(a, b, n+1)\n",
    "    n_unknowns = length(u_0)\n",
    "    u = zeros(n+1, n_unknowns)\n",
    "    u[1,:] = u_0\n",
    "    for i in 1:n\n",
    "        K_1 = f(t[i], u[i,:])*h\n",
    "        K_2 = f(t[i]+h/2, u[i,:]+K_1/2)*h\n",
    "        K_3 = f(t[i]+h/2, u[i,:]+K_2/2)*h\n",
    "        K_4 = f(t[i]+h, u[i,:]+K_3)*h\n",
    "        u[i+1,:] = u[i,:] + (K_1 + 2*K_2 + 2*K_3 + K_4)/6\n",
    "    end\n",
    "    return (t, u)\n",
    "end;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "aa61fc3f-9bb8-4609-91eb-2567db872aea",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 600x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "M = 1.0\n",
    "k = 1.0\n",
    "D = 0.0\n",
    "u_0 = [1.0, 0.0]\n",
    "a = 0.0\n",
    "periods = 4\n",
    "b = 2pi * periods\n",
    "\n",
    "stepsperperiod = 25\n",
    "n = stepsperperiod * periods\n",
    "\n",
    "(t, U) = rungekutta_system(f_mass_spring, a, b, u_0, n)\n",
    "Y = U[:,1]\n",
    "DY = U[:,2]\n",
    "y = y_mass_spring.(t; t_0=a, u_0=u_0, k=k, M=M, D=D)  # Exact solution\n",
    "\n",
    "figure(figsize=[10,4])\n",
    "title(\"y for k/M=$(k/M), D=$D by Runge-Kutta with $periods periods, $stepsperperiod steps per period\")\n",
    "plot(t, Y, label=\"y computed\")\n",
    "plot(t, y, label=\"exact solution\")\n",
    "xlabel(\"t\")\n",
    "legend()\n",
    "grid(true)\n",
    "\n",
    "figure(figsize=[10,4])\n",
    "title(\"Error in Y\")\n",
    "plot(t, y-Y)\n",
    "xlabel(\"t\")\n",
    "grid(true)\n",
    "\n",
    "# Phase plane diagram; for D=0 the exact solutions are ellipses (circles if M = k)\n",
    "figure(figsize=[6,6])  # Make axes equal length; orbits should be circular or \"circular spirals\" \n",
    "title(\"The orbit\")\n",
    "plot(Y, DY)\n",
    "xlabel(\"y\")\n",
    "ylabel(\"dy/dt\")\n",
    "plot(Y[1], DY[1], \"g*\", label=\"start\")\n",
    "plot(Y[end], DY[end], \"r*\", label=\"end\")\n",
    "legend()\n",
    "grid(true)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "b1dc553d-e051-4cae-87dc-695effc6ae6f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Underdamped\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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5a4u4ZI2IiIhIblzyqjEvLw9vvPEGRo8e7YrLkYcQRRHrD8qjdfTJckdZ61l/qBEms0XiaoiIiIjoeE4POd3d3bj55pvx5ptvIjRUHsuNyD0ca+5GRWsvfJQKzMqMlLqcE0weFoZQfzU6eo3YXd4mdTlEREREdByVsy+wZMkSXHbZZbj44ovx9NNPn/W+er0eer1+8HOdTgcAMBqNMBqNTq3zXGzXl7oOb7K2sB4AMDU1FBqFKLvf/fwRUfh0Xy2+K6zDpOTgU77OMUP24Hghe3C8kD04Xsgech4v9tTk1JDz0UcfYd++fcjLyxvS/ZcvX46nnnrqlNvXrVsHf39/R5d3XtavXy91CV7j00IlAAHRpiZ8++23UpdzitBeAYASX+2vwnihHIozdLfmmCF7cLyQPTheyB4cL2QPOY6X3t7eId/XaSGnuroav/3tb7Fu3Tr4+voO6Xsef/xxLFu2bPBznU6HxMRE5ObmQqvVOqvUITEajVi/fj0WLFgAtVotaS3eoKVbj8qdmwEAD143F7HBQxtDrjTfaMaq/9uEToMZCaOnY2xiyAlf55ghe3C8kD04XsgeHC9kDzmPF9sqr6FwWsjZu3cvmpqaMGHChMHbzGYztmzZgpdeegl6vR5KpfKE79FoNNBoNKc8llqtls0vWU61eLKtpQ0QRSAnPhhJEUFSl3NaarUaszIj8V1RA3aWd2BS6un3DXHMkD04XsgeHC9kD44Xsoccx4s99Tit8cD8+fNRWFiI/Pz8wY+JEyfi5ptvRn5+/ikBh+h462xd1UbKq6vayaamhgMAdrH5ABEREZFsOG0mJygoCNnZ2SfcFhAQgPDw8FNuJzqe3mTGttJmAMDFWVESV3N2U1LDAFgPLTWaLVDL5CwfIiIiIm/GV2QkO4U1neg3WhAe4IOsWGn3Yp1LZlQQQvzV6DOacaCmU+pyiIiIiAguaCF9vE2bNrnycuSmdldYl35NHBYKQThDyzKZUCgETB4WhnUHG7GrvBUTknkWFBEREZHUOJNDspM3sL9l0rAwiSsZmim2fTll3JdDREREJAcMOSQrZouIPZXtAIDJKW4Scgbq3FPRBpPZInE1RERERMSQQ7JypKELXf0mBPgoZb8fx2ZkrBZBvir0GMworht6/3YiIiIicg6GHJKVvIH9OOOTQ6Fyk05lyoF9OQCwq7xV4mqIiIiIyD1eRZLXsDUdcJf9ODa2VtLcl0NEREQkPYYckg1RFN2u6YDNlBRr84HdFW0wW0SJqyEiIiLybgw5JBtVbb1o6tJDrRQwLilE6nLsMipOi0CNCl39Jhyq574cIiIiIikx5JBs7B6YxcmJD4avWilxNfZRKRWDZ+TYfg4iIiIikgZDDsmGrenAJDdpHX2ywX05bD5AREREJCmGHJKNvIqB83HcbD+OzeC+nPI2WLgvh4iIiEgyDDkkC01d/Shv6YEgABOT3TPkjE4Ihp9aifZeI0qauqUuh4iIiMhrMeSQLOwZmMUZHh2EYH+1xNWcH/Vx+3K4ZI2IiIhIOgw5JAu2zfqT3XQ/js2UFJ6XQ0RERCQ1hhyShTw3PQT0ZFNSrftydpW3QhS5L4eIiIhICgw5JLmufuPg2TLuPpMzJjEYGpUCLd0GlLX0Sl0OERERkVdiyCHJ7a1sh0UEksL8Ea31lbqcC6JRKQcPMt1dwSVrRERERFJgyCHJecpSNZufW0m3S1wJERERkXdiyCHJ5Q2EgckpoRJX4hi2Q0HzKtrBbTlERERErseQQ5LSm8zIr+kA4DkzOeOTQuGjVKCxS4+WfqmrISIiIvI+DDkkqQM1nTCYLIgI9EFKRIDU5TiEr1qJMYnBAIBSnSBxNURERETehyGHJGU7H2fSsDAIgucEAtu+nGMMOUREREQux5BDkvK0pgM2tn05nMkhIiIicj2GHJKM2SJib4Wt6YBnhZwJyaFQKQS0GwTUtPdJXQ4RERGRV2HIIckcbtChS29CoEaFkbFaqctxKH8fFbLjrT9TXgVbSRMRERG5EkMOSSZvYD/O+ORQKBWet6xrfGIIAKCgplPaQoiIiIi8DEMOScY2wzF5mGecj3OyMQnWDmsHahlyiIiIiFyJIYckIYoidnto0wGb0QMh53BDF/qNZomrISIiIvIeDDkkiZr2PjR36aFWChgzsKzL08SH+CJQJcJoFnGwXid1OUREREReQyV1AeSdCmo6AAAjYrTwVSulLcZJBEFAcpCI4nYBBdUdGJ/kmcvyyPmauvrx6qZjyKtoQ0pEIEbFaQc+ghEW4CN1eURERLLDkEOSODCwGX9MYrDElThXcqCI4nYgv7pD6lLIDXX0GvD6ljK8u70CfQNLHotqdfi6oG7wPnHBvsiKC8b45BDcPm0YAjR8WiciIuJfQ5KE7UX/6IQQSetwtqRA6z8LGHLIDt16E97ZVo43t5ShS28CAIxNDMFt05JR39mP4rpOFNfpUNnai7rOftR19mPDoUZ8XVCPt26fiPgQP4l/AiIiImkx5JDLmS0iigY6jo310P04NkkBIgCgorUX7T0GhHJpEZ2F0QK8s70Cr2+tQFuPAQAwIiYIj+QOx/yRURCEE1ut6/qNOFSnQ2FtJ17bXIZD9Tpc9dJ2vHnbBIzj8kgiIvJibDxALlfa1I1egxn+PkqkRQZKXY5TBaiBYeH+AH7eh0R0OgaTBa8eVGL52qNo6zEgJSIAL/5qHL79zUxcnBV9SsABAK2vGlNSw3HPzFR8ufQijIgJQku3Hje8sRNfHbekjYiIyNsw5JDL2V7s58QHe+QhoCeznZdTUM3zcujMnvnuCI51CQjUqPC363Kw/uFZuHJMHBRD/H8kPsQPnz4wHRePjILBZMFvPtyP59cfhSiKTq6ciIhIfhhyyOVs+1M8tXX0yWzn5eRXt0tcCcnVx3uq8cHuagDAc7/MwQ2TkqBS2v/0HKhR4fVbJ+LXs1IBAC/8UILffJTPc5qIiMjrMOSQy9k6q9le/Hu60fFaAEBBTSffVadTFFR34Ik1RQCARQlmzBseeUGPp1QI+MOlI/G363KgUgj4uqAON76xc3CPDxERkTdgyCGX6jeacbjBejDmGA/vrGYzMlYLtVJAW48BNe19UpdDMtLSrcf97++FwWTB/BGRyE1wXAi+YVIS/nP3FIT4q5Ff3YFlH+czZBMRkddgyCGXOlSvg9EsIizABwmh3tHmVqNSICvWOpuzn62kaYDRbMGSD/ahvrMfqZEBePa6bDh6i9q0tHB8eO9U+KgU2HSkGe/uqHDsBYiIiGSKIYdcavAQ0ITg03aL8lS2/Uc8L4dsln97GLvK2xDgo8Qbt05AkK/aKdcZGavFE5eNHLzmwTqdU65DREQkJww55FIFXnII6Mls5wHlM+QQgC/21+Cd7eUAgOeuH4v0qCCnXu/WqcmYPyIKBrMFv/loP/oMbERARESejSGHXMrWPtrTDwE9mW0mp6i2E0azRdpiSFJFtZ147LNCAMCD89KxMDvG6dcUBAF//8VoRAVpUNrUjae/Oej0axIREUmJIYdcRtdvxLHmHgDe01nNJiU8AEG+KuhNFhxp6JK6HJKI2SLi4dX50JssmDs8Eg9dnOmya4cHavDP68cCAD7YVYXvixtcdm0iIiJXY8ghlyka2I+TEOqH8ECNxNW4lkIhcMka4b8H6lDS1I1gPzWev2Gsyw/DnZERgfsGztD5/WcH0NDZ79LrExERuQpDDrlM/sBSNW9pHX0y28/N5gPeyWS24IUNJQCAX89KRYi/jyR1/C53OLLjtejoNeLh1fkwW9hWmoiIPA9DDrnMgeqBzmqJ3rVUzWaww9pA2CPv8mV+HcpaehDqr8bt04dJVoePSoEXbxwHP7USP5W14o0tZZLVQkRE5CwMOeQyBwZe3HtbZzUbW7graepGV79R4mrIlYxmC17caJ3FuW92GgI1KknrSY0MxFNXjgIAPLfuyOD/m0RERJ6CIYdcoqmrH3Wd/VAIQE68d87kRAX5Ij7ED6IIFNZ2Sl0OudAX+2pR2dqL8AAf3DYtWepyAAC/nJiAS3NiYLKIePKrYogil60REZHnYMghl7AtVUuPCkSAxO9iS2ns4KGgDDnewmD6eRbngTlp8PeRx/gXBAF/vnwUfNUK7KvqwNoidlsjIiLP4dSQs3z5ckyaNAlBQUGIiorC1VdfjSNHjjjzkiRTBV7edMDGtmQtv7pd4krIVT7dW4Oa9j5EBmlw8xR5zOLYxAT74t6Z1m5rf1t7GAYTz3AiIiLP4NSQs3nzZixZsgQ7d+7E+vXrYTKZkJubi56eHmdelmSoYKB99GgvOwT0ZD93WONMjjfQm8x4aWAWZ/GcNPj5KCWu6FT3zU5DRKAPKlp7sWpXpdTlEBEROYRTQ87atWtxxx13YNSoURgzZgxWrFiBqqoq7N2715mXJZkRRXFwY/NYL5/JyUkIhkIAGnT9PKPEC3ycV426zn7EaH3xq8lJUpdzWoEaFX47cCjpCz+UQMemGERE5AFcuji8s9P67nVYWNhpv67X66HX6wc/1+l0AACj0QijUdo/vLbrS12HO6ps60VHrxFqpYDUcF+v+R2ebsyoBSAzKhCHG7uxt6IFuVnRUpVHTqY3mvHSxlIAwP2zU6CEBUbjmZeDSfkcc93YGKzYVo6ylh68/EMJHsnNcHkNZB/+TSJ7cLyQPeQ8XuypSRBd1FJHFEVcddVVaG9vx9atW097nyeffBJPPfXUKbevWrUK/v7+zi6RnGRvi4D3SpRIDhSxLMcsdTmS++iYAj81KXBxnAVXJHMPhKfaXC/g8wolQn1EPDHODJXM27wUtgl464gSakHEH8eZEaqRuiIiIqIT9fb24qabbkJnZye0Wu1Z7+uymZylS5fiwIED2LZt2xnv8/jjj2PZsmWDn+t0OiQmJiI3N/ecP4izGY1GrF+/HgsWLIBarZa0FneT/90RoKQSs0Yl4dJLR0pdjsucacx076nBT18eRLcmHJdeOknCCslZ+gxmPP38VgAG/G7RKFw5MeGc3yP1c8wiUUTBO3uQV9GOAksi/n5pjstroKGTeryQe+F4IXvIebzYVnkNhUtCzoMPPoivvvoKW7ZsQULCmf/YazQaaDSnvn2oVqtl80uWUy3uoqjOOiDHJoV55e/u5DEzflg4AKCorgsKpQpKhSBVaeQkK3dWo7nbgMQwP9wwORlq5dCncaR8jnnisixc9fJ2rCmoxz2z0jAqzjvPtHIn/JtE9uB4IXvIcbzYU49TF1CIooilS5fi888/x8aNG5GSkuLMy5EMmcyWwYMvx3h5ZzWbjKhA+KmV6NabUNbcLXU55GAmswVvbCkDADw4N8OugCO1MYkhuGJMHEQRWP7tYR4QSkREbsupf32XLFmC999/H6tWrUJQUBAaGhrQ0NCAvr4+Z16WZKSkqRv9RguCNCqkRgRIXY4sqJQK5CRY3yHfX90hbTHkcJuPNqOpS4/wAB9cPS5e6nLs9uglw+GjVGBbaQs2H22WuhwiIqLz4tSQ8+qrr6KzsxNz5sxBbGzs4Mfq1audeVmSkYKBF/E5CcFQcFnWoDEDIaewhufleJqP91QDAK4ZFw8fuXcbOI3EMH/cNs16aOnybw/DbOFsDhERuR+nL1c73ccdd9zhzMuSjAweAurl5+OcLDt+IOTUMuR4kuYuPX441AQA+OXERImrOX9L56VD66vCkcYufL6vRupyiIiI7OZ+bzOSW7HN5IxN5Abm49lCzqF6HUxmtpH2FGv218JkETEmMQTDY4KkLue8hfj7YMncdADAK5uOcTaHiIjcDkMOOU2/0YwjjV0AOJNzspTwAARqVNCbLChpYvMBTyCK4uBStRvceBbH5papyQjxV6O8pQffFdVLXQ4REZFdGHLIaQ7W62C2iIgI1CA22FfqcmRFoRCQFWc9+4lL1jxDfnUHSpq64atW4PIxsVKXc8ECNCrcOd3aEfPlH4+x0xoREbkVhhxyGtum+px4LQSBTQdOljOwZK2IIccjfLzHunfl0uxYaH3lda7A+bp9ejICfJQ4VK/DpiPstEZERO6DIYecxjZDkcOlaqfFkOM5eg0mfF1QB8C9Gw6cLMTfBzdPtXZae+nHUs7mEBGR22DIIaexvXi3vZinE9maDxxk8wG3911hA7r1JiSF+WNKSpjU5TjUPTNS4KNUYG9lO3aXt0ldDhER0ZAw5JBT9BnMODrQdIAh5/RSIwIQ4KNEv9GCY809UpdDF8DWcOD6iQkedx5UlNYXv5yYAAB4edMxiashIiIaGoYccoqD9TpYRCAySINorUbqcmRJoRAwKo7n5bi7ipYe7CpvgyAA101IkLocp7hvVhqUCgFbjjbzAFsiInILDDnkFMcvVWPTgTPL5r4ct/fpXmvDgVkZkYgN9pO4GudICvfHlWPiAACvbCqVuBoiIqJzY8ghpzgw8G5vNpeqnVVOAttIuzOzRRwMOdd7UMOB03lgThoAYG1xA0qbuiSuhoiI6OwYcsgpbDMToxlyzsq2X+lgnY6nyruhLSXNaND1I9RfjYuzoqQux6kyo4OQmxUNUQRe3VQmdTlERERnxZBDDtdnMKNk4J3enASGnLNJiQiEv48SfUYzjjV3S10O2emTgYYDV4+Lh0allLga51s8Nx0AsCa/FtVtvRJXQ0REdGYMOeRwB+s7j2s64Ct1ObKmVAgYFTewZI0but1KW48B6w82AgB+OcGzl6rZjE0MwYz0CJgtIt7cytkcIiKSL4Yccjjbi3UuVRsa274l7stxL2v218JoFpETH4ysgaDqDRbPte7NWZ1XjeYuvcTVEBERnR5DDjncgVo2HbBHDjusuaVPBhsOeGbb6DOZlhqOcUkh0JsseGd7udTlEBERnRZDDjnc8e2j6dxsv6diNh9wG2XN3ThUr4NKIeCKgdbK3kIQBDww2zqb88HOSvToTRJXREREdCqGHHKoXoMJpU3WDfRsOjA0qZE/Nx8oY/MBt/B9sXUvzrS0cIT4+0hcjetdPDIaw8L9oes3DbbQJiIikhOGHHKog3U6WEQgik0HhkypEJAVy/Ny3Mna4gYAwMLsGIkrkYZCIeDuGSkAgHe2l3MGkoiIZIchhxyqkEvVzgubD7iP+s4+FFR3QBCABVnRUpcjmesmJCDEX43K1t7BLnNERERywZBDDjUYcrhUzS5sPuA+1g0sVZuYHIqoIO+drfT3UeHmKUkAgLfYTpqIiGSGIYccytY+mjM59rGFQjYfkL+1RdalapeM8s6lase7fdowqJUC9lS2Y39Vu9TlEBERDWLIIYfpNZhwbGDjPEOOfdIiA+GnVqLXYEZ5C5sPyFVbjwG7ylsBMOQAQJTWF1eOiQcAvLWN7aSJiEg+GHLIYWxNB6K1GkSx6YBdlAph8EBJ7suRrw0HG2ERgVFxWiSG+UtdjizcM9PagOC7wnpUt/VKXA0REZEVQw45zAEuVbsgtt9bYY1O4kroTAa7qnEWZ9DIWC1mpEfAIgLv7qiQuhwiIiIAgErqAshz2DbNZzPknJdsNh+Qta5+I7aVtADw3tbRZ3LPzBRsK23B6rxq/PbiDGh91VKXRDKj6zdib0U7mrr60dylR0u3Ac3d+oF/10PXZ0K0VoOkMH8khfsjKcwfyWEBSArzR2yIL9RKvidLRPZhyCGHOTDw4nw0O6udF9tMTnFdJywWEQqFIHFFdLwfjzTDYLYgNTIA6VGBUpcjK7MzI5ERFYiSpm6s3l2Ne2elSl0SyUBnnxEbDjbi28J6bC1pgcFsOev9W7r1KK47dSZbrRQwNTUcl+bE4pJRMQgL8L4DeInIfgw55BA9+p+bDnAm5/ykRQbAV61Aj8GM8tYepEXyhbScfF/081I1QWAAPZ4gCLhnZgp+/1khVmwvx50XDYOK77x7JVuw+aawHltLmmE0/9wtMiUiACkRAYgI9EFEoMb6EaRBZKAGQb4qNHT2o6qt95QPg8mCrSUt2FrSgifWFGFaajgW5cTgklExiAjUSPjTEpGcMeSQQxys10G0NR3w4rNDLoRKqUBWrBb7qjpQVNvJkCMj/UYzfjzSBIBL1c7kqrHxePb7I6jr7Me3RQ24ckyc1CWRC7X1GPDP9UewOq/6hGCTERWIS3NicdnoWGRGB531MU73BpnFIqK8tQdrixrwbWE9iut02Fbagm2lLfjTmiJMSQnHLVOTsSg7hrPfRHQChhxyiJ+bDoRIW4iby4kPxr6qDhTWdOKqsfFSl0MDtpa0oNdgRlywLxtrnIGvWolbpw7D8xuO4q2tZbhidCxnvLyA0WzBf36qxL82HIWu3wQAyIweCDY5scg4R7A5F4VCQFpkIJbMTceSuemobO3BdwOB50BNJ34qa8VPZa3IiArE0nnpuHx0HJQMO0QEhhxyENtmeb4AvDC2dzLZRlpeBg8AzeZStbO5ZWoSXtlUigM1nciraMfklDCpSyIn2nSkCX/970Eca+4BAGTFavHnK7IwNTXcaddMDg/A/bPTcP/sNFS39eKTPdVYsaMCJU3d+O1H+fjXhhIsmZuOq8bGsVkBkZfjMwA5hO1FeU6CVuJK3FtOgq35gA4Wi3iOe5MrGM0WbDjUCICto88lPFCDa8cnAADe3FomcTXkLMeau3Hnit24Y0UejjX3IDzAB8uvzcHXD85wasA5WWKYP5blDsf2x+bhkdxMhPirUd7Sg0c+KcC85zbhw91VMJjO3uyAiDwXQw5dsG42HXCY9MhAaFQKdOtNqGjtkbocArC7vA2dfUaEB/hg4jDOTJzL3TOsh4NuONSI8haOYU9isYj49w8luOT5LfjxSDPUSgH3zkzBj/9vDn41OUmyZWJaXzWWzsvAtt/Pw2OLRiA8wAfVbX14/PNCLHphC3aUtkhSFxFJiyGHLtjBOmvTgRitL5sOXCCVUoGRsdbZMC5ZkwfbUrXcUdFc6z8E6VGBmD8iCqIIvLOtXOpyyEG69SY88MFePLf+KEwWEfNHROH7h2bhj5dlyeZcpECNCvfPTsPW38/FE5eNRHiAD4419+Cmt3bhwQ/3o1HXL3WJRORCDDl0wQp5CKhD5fBQUNmwWER8XzywH4dL1Ybs7pnW2ZxP9lajvccgcTV0oSpaenDNy9vxfXEjfJQK/P260Xj7jklIlWkHSH8fFe6ZmYqNj8zBbdOSoRCArwvqMP+5zXhraxlM5zivh4g8A0MOXbDCmg4APATUUWz7cjiTI7391R1o6tIjSKPC9LQIqctxG9NSwzEqTot+owUf7KqUuhy6AJuPNuPKl7ahpKkbUUEafHTfVFw/KVHqsoYk2E+N/7kqG18tnYGxiSHo1pvw9DeHcPm/tyGvok3q8ojIyRhy6IIVsrOaQ9l+j8W1bD4gNdsszryRUfBR8elyqARBwL0zUwEAK3+qhN5klrgispcoinh98zHcuWI3dP0mjEsKwX8fnIHxSaFSl2a37PhgfP7AdPzftTkI9VfjcEMXfvnaT3jsswPo6jdKXR4ROQn/atMF6dabUDawuZjL1RwjI8rafKCLzQckJYri4H4cdlWz32WjYxEb7IvmLj2+zK+TuhyyQ5/BjN9+lI/l3x2GRQRumJiIj349FVFa991zqVAIuHFyEjb+ztokQRCAj/KqsfBfW7GdjQmIPBJDDl2QotpOiCIQG+yLyCCN1OV4BDYfkIdjzT2oauuFj1KBWZmRUpfjdtRKBe6YPgwA8PbWcogiZyXdQbfehFve3oWvCuqgUgj461Wj8H/X5UCjUkpdmkOEDrS7/ujeqUgK80dtRx9ufmsXnlhTiB69SeryiMiBGHLoghRUdwAAxiSESFqHp2HzAeltOtIEAJiSGoYADc9NPh83Tk5CgI8SRxq7sKWE75bLXbfehDve2Y29le3Q+qrw/j1TcOu0YR55AO6U1HB899uZuHVqMgDg/Z1VWPjCFuwsa5W4MiJyFIYcuiAFA00HxiSGSFqHp7GFHM7kSGfTkWYAwJzhURJX4r6C/dS4YVISAOAtHg4qaz16E+5akYc9AwHng3umuvRgTykEaFT469XZ+OCeKYgP8UN1Wx9ufGMnnvq6GH0G7iMjcncMOXRBCqqtL8LHJHI/jiNls/mApHr0Juwut3ZfmjucS9UuxJ0XDYNCALaWtOBQvU7qcug0eg0m3PluHnZXtCHIV4X/3D1lsMujN7goPQJrH5qJX022do1bsb0Cl724FfkDKxWIyD0x5NB5a+7So7ajD4LAzmqOlhH9c/OByrZeqcvxOjuOtcJgtiApzB8pEQFSl+PWEsP8sSgnFgDw1lYeDio3vQYT7no3D7vL2xCkUeG9uyZ75cx8kK8ay68djXfvnIRorQZlLT247tUdeGFDCc/VIXJTDDl03g4MLFVLiwxEkExOvPYUajYfkNSPA/tx5g6P9Mj9CK52zwzr4aBfFdTy1HkZ6TOYcfe7e7CzrA2BGhVW3j0Z49ywRbQjzRkehe8fmoXLR8fCbBHx/Iaj+MVrP6G8hZ0uidwNd9PSeWPTAefKiQ9GfnUHimo7ceWYOKnL8RqiKGKzbT/OCO7HcYRxSaGYmByKPZXtWLmjAo8uHCF1SV6vz2DG3Svz8FNZKwJ8lFh512S3PAPHGUL8ffDvX43DgqxoPLGmCPnVHbj0ha144vKRuGlyEt/48CKiKKK5S4/yFmu3zdYeA9p7DejoMaK91zDwYURnnxFGswUWiwiLCFhE0fphsf67n1qJAI0KARolAjWqgX9XIUijQnigD6K1vojS+iI6SINorS+itb7w8/GMjoZSYsih85ZfY51hGMv9OE5hWwJomzEj1yhp6kZtRx80KgWmefjGa1e6Z2Yq9lTuxQe7qrB0Xjr8ffjnRyomswUPfLAXO479HHAmJDPgHE8QBFw1Nh4Th4XhkY8L8FNZK/74RRE2HGzE334xGlFB7ntmEJ3KZLbgaGM3iuo6Ud7Sg8rWHpS39KKytQe9DmhC0aU3ocvOFuVBviokhPojJcIfyeEBGBbuj2HhARgWEYCoIA3D9hDwrwydF1EUB198e+P6bVc4ufmAQsEnNFf48bB1qdq0tHD4qvlOmqMsyIpGcrg/Klt78cmeGtw+cIYOuZYoivjLV8XYdKQZvmoF3r1rMiYOC5O6LNmKD/HDB/dMwTvby/H374/gxyPNuOT5LXj66hxcNjpW6vLoPIiiiOq2PuTXdOBAdQcKajpQWNuJfuPp914pBCA+1A/DwgMQGahBiL8PQv3VCA3wQejAvwf7q6FRKaAQhMEPQQCUA3+3+41m9OjN6Nab0KM3ocdgQrfehO5+E1q69WjU6dGo60dTlx4Nnf3oM5rR1W/CoXrdaRu2+KmVSI0MwPDoIGREB2F4TCAyo4MQH+LH8HMchhw6L1VtvejoNcJHqcCIGK3U5XikjOhA+BzXfIAb4F1jsHU0DwB1KKVCwN0zUvDnL4vx5tYy3DQlCWolt4W62tvbyvHBrioIAvCvG8ZhEgPOOSkUAu6ZmYqZGZF4aHU+DtXrsGTVPnxXFIu/XpWN0AAfqUukc6hu68XWkhZsK23GzrI2tPUYTrlPoEaF7HgtMqKCkBxubTozLCIAiaH+8FG57rlKFEV06U1o7OxHVVsvKlqtM0oVrb2oaOlBTXsv+oxmFNfpUFx3YgAK8FEiIzoII2KCMDJWi5GxWoyIDYLWS/dNuyTkvPLKK3j22WdRX1+PUaNG4V//+hdmzpzpikuTk9haa46M07r0f35vYms+UFBtfZeJIcf5uvqNyKuwto7m+TiOd/3ERLz4Qwlq2vvwVX4drpuQIHVJXmVtUQP+99tDAIA/XjoSC7NjJK7IvQyPCcKXSy7CSxtL8PKmY/jvgXrsLGvD8mtzsCArWury6DidfUb8dKxlINi0oLL1xC6laqWArFgtxiSGYHRCCMYmBiM1IlAWKyYEQYDWVw2trxoZ0UGnfN1gsqCmvRclTd0oaezCkUbrP481d6PHYEZ+dccp7c8Tw/wwMsYaerLitMiK1SIh1PNnfZweclavXo2HHnoIr7zyCi666CK8/vrrWLRoEQ4ePIikpCRnX56cxHY+zlgvOktBCqPjg1HA5gMus720FSaLOPgOHjmWr1qJu2ak4O9rj+CVTaW4Zly8LF5UeIOC6g48tHo/RBG4ZWoS7h7oeEf28VEpsCx3OC7OisayjwtQ2tSNe9/bg+vGJ+DPV2Qh2M873zGXg7qOPnxf3IDvixuwu7wNxx8xp1IIGJcUghnpkZiREY7s+GBoVO65HNlHpUBqZCBSIwNxyaif36gwmi2oaOnBkcYuHK7vGlzqVtfZj+q2PlS39WHdwcbB+wf5qpB1XOjJirPOYnnSG9dODzn//Oc/cffdd+Oee+4BAPzrX//C999/j1dffRXLly939uUdymyxDiI1n8NQwP04LmFrPlBYwzbSrrBpoHX0HB4A6jS3Tk3Gq5uO4VhzD74vbhg8Q4ecp6a9F3ev3IN+owWzMyPx5BWjPP4dXGcbnRCC/z44A8+vP4o3tpbhs3012HGsBc9cm4O5nAV2mWPN3Vhb1IB1xQ0oOOnvZGpkAGZlRGJGegSmpIZ5/FEXaqUCGQN7dC4f/fPtHb0GHKzX4dBxwedoYxe6+k3YVd6GXQMHXwPWMJgWGYjM6ACIHQL8jzYjOyEUMVpft3zOcGrIMRgM2Lt3Lx577LETbs/NzcWOHTtOub9er4derx/8XKezrjU0Go0wGo3OLPWc/vH9EfxnjxJCYj0uHxMvaS1SM5otKK6zPpmMigmU/L+NXNl+Lxfy+xkRbZ1NKKrrhMFgcMsnGXchiuLg+Tgz08NcPq4dMV7cga8SuHVKEl7ZXIaXfizB/OHhHNfnYajjpavfiDtX7EZLtx4jogPx/C9zIFrMMFouvGOUt1MCeGRBOuZmhuP3nxejsq0Xd67Iw6XZ0fjDouGI1sqnA5snPb9UtPbg64IGfFvUgNLmn88vEgRgQlIIcrOicfHISCSG+p/wfZ7ws5+PALWASUnBmJT088obg8mCspYea/BpGAg/DV3o7DPhSGMXjjR2AVDiv//ZDwAI9lMhMzoI/7p+NKKCNBL9JFb2/HcURFEUz32381NXV4f4+Hhs374d06dPH7z9mWeewcqVK3HkyJET7v/kk0/iqaeeOuVxVq1aBX9//1Nud6UvKxTYWK/A+HALbs/07tOPa3qAZw+o4KcU8cwkM7jaxHnMFuDR3UqYRAFPjDUh0k/qijxXbQ/w9wMq+Cis41rtOTP2stNtBJ7ap4TBIuD+EWaMDHXanyGvZrYArx9W4EinAlq1iGU5ZoRK+/rEY+nNwLfVCmyuFyBCgK9SxGWJFsyIEfk30gE6DcC+FgF7WxSo7vn5F6oURGQGixgdJiI7VISWPSDOmygCHQagrldAXS9Q1yOgrldAUx9ggQCFIOLZyWZIvZqtt7cXN910Ezo7O6HVnr3xlUsaD5z8Lp0oiqd95+7xxx/HsmXLBj/X6XRITExEbm7uOX8QZ4sqb8HGd/bhcJca8xfMgcaLW8t+lFcDHDiIccnhuPyyiVKXI1tGoxHr16/HggULoL6ANY7v1u7EgRodwjPG4VK2LHWa17eUAyjBRRmRuOry8S6/vqPGi7so9TmCFTsqsacvHL+7ebLU5bidoYyXP311EEc6a+Dvo8R7d0/CqDh2wnSmawAU1+nw568P4kCNDp9VKHHUqMVfr8yS/Hfvjs8vXf1GrC1uwn8P1OOn8jbY3pJXKgRclBaGy3NiMX9EJLTcB+Vwx48Xi6BEWXMPajv6cPFI6Zdi2lZ5DYVTQ05ERASUSiUaGhpOuL2pqQnR0ad2ItFoNNBoTn2bSa1WS/4/5fjkcIT4iOgwmPFTRadXd1IpqusCAIxNCpX8v4s7uNDxOzohBAdqdDjU2INr+Pt2mi2lrQCAeSOiJR3Xcni+c4X7Zqfjg13V2FPZgf01XZicwlbG5+NM4+XD3VX4KK8GggC8eOM4jE3mwbauMDY5HF8snoFVu6vw97WHUVirw7Wv7cRt04bhd7mZku8Lkfvzi9FswdaSZny2rxYbDjZCb/p55cyE5FBcNTYOl+bEIiKQU5KuYBsvo5M0GC2TXmH2jF+nhhwfHx9MmDAB69evxzXXXDN4+/r163HVVVc589IOp1AIGB0mYkuDgO+K6r065LDpgGux+YDzdfYZsbeyHQBbR7tKTLAvrpuQgA93V+HlH0sxOYWzOY6yr6odf/myGADwyEAnMHIdpULArVOTccmoaDz930P4qqAO7+6owNcFdVg6Lx03TUly285eziCKIorrdPhsXw2+yq9D63Fn2GREBeLqcfG4ckwcEsOk3bZA7sfpy9WWLVuGW2+9FRMnTsS0adPwxhtvoKqqCvfff7+zL+1wY8Mt2NKgwIaDjTCYLB7VZm+oeg0mHG0cmMlhyHGJ7IGQU1TXecalnnRhtpe2wGwRkRYZwD+kLvTA7DSszqvC5qPNKKzpRA5b0l+wpq5+PPD+XhjMFiwcFYPFc9KkLslrRQX54sVfjcMvJybgz18Wo7ylB099fRBvbS3Hwwsycc24eCi9eMNObUcfvsyvxRf7alHS1D14e0SgD64cE49rx8djVJyWf/PovDk95Nxwww1obW3F//zP/6C+vh7Z2dn49ttvkZyc7OxLO1xKkPV/vpZuA3Yca/HKd3yLanWwiECM1ldWnWM8WWa0tW99V78Jla29PL/FCX48bO2qxtavrpUU7o8rx8RhTX4dXtlUildvmSB1SW7NaLZg6Qf70ajTIz0qEP+4fgxfIMrAzIxIrHt4Fj7ZU4MXfjiK2o4+PPJJAV7ffAyPXDIcuVnRXvPfqbPXiG8K67Emvxa7j2td7KNSIDcrGteOj8fMjEiold73JjI5nksaDyxevBiLFy92xaWcSiEAC0ZG4cO8GqwtavDKkFMwcIruaL7j6jJqpQIjY7UoqO5AYW0nQ46DiaKITUebAQBzR3jf/9NSWzw3HWvy67C2uAGlTV1Ijzr1hG8amv/95hB2V7QhSKPC67dOQKDGJX/iaQjUSgVumpKEa8fHY+WOCryy6RhKmrpx33/2YmxiCB5ekImZ6REeeThuv9GMHw83YU1+LX483AyD2brPRhCAKSlhuHpsPC4dHQuth59jQ67HZ0A7LRwVjQ/zarDuYCOevtoClZe925DP/TiSyIm3hpyi2k5cMSZO6nI8SnGdDs1devj7KDFxWKjU5XidzOgg5GZFY93BRryy6Rj+ef1YqUtyS5/trcG7OyoAAP+8YSzSIgOlLYhOy1etxH2z03Dj5CS8uaUMb28rR351B25/ZzdSIwJw89Rk/GJCAoLdvGNYr8GEHw8347uievx4uAk9hp/PZRoREzS4zyYuhOcikPMw5Nhp8rBQhPqr0dZjwO7yNkxPj5C6JJc6MBByuB/HtWzNBw6w+YDDbRo4APSi9AhuBpbIkrnpWHewEV/m1+HhizO5L8pORbWd+MMXhQCA38zP8OrGOO4i2E+NRy4ZjtumJ+O1TWX4ZE81ylp68Nf/HsQ/vj+Cq8fF4dapw5DlRm2/df1GbDzUhO+K6rHpSPMJndHign1xxdg4XD02HiNj3ednIvfGkGMnlVKBBVnR+HhPDb4ravCqkNParUd1Wx8AcIOwi7H5gPNsOmJdqjZneKTElXivMYkhmJkRga0lLXh18zE8c02O1CW5jbYeA+77z17oTRbMHxGFh+ZnSF0S2SEqyBd/viILv8vNxBf7a/GfnypxpLELH+6uxoe7qzExORTXT0rE3OFRiJT4pPmTWSwiDtbrsK20BdtKWrC7vG1wKRoAJIX5Y1F2DBZmx2BMQohHLsUjeWPIOQ+LcmLx8Z4arC1uwFNXjvKa/3FtswhpkQFcO+tibD7gHJ29RuyrYutoOXhwXga2lrRgdV417pmRglQutzoniwg8/MkB1Hb0ISUiAP+8YazX/D3yNAEaFW6ZmoybpyQhr6Id7/1UgbVFDdhT2Y49A+3txyQEY87wKMwbEYWc+GBJ/ltXt/Vie2kLtpa2YEdpC9p7jSd8PT0qcDDYZMWyMxpJiyHnPFyUFoEgXxWau/TYW9WOScO84xC7/IGmA2MSQiStwxuplQqMjAlCQU0nmw840I5jLbCI1j/M8VwbLqnJKWGYNyIKGw834dnvj7DT2hB8U63Ajto2+Pso8fqtE9x+HwcBgiBgckoYJqeEoUnXj9V51Vh3sBGFtZ0oqLF+vPBDCSICfTA7MwrT0sKRERWItKhAhzaasFhEVLb14mCdDofqdThYr8PBOh0adP0n3C9Qo8LU1DDMSI/AjIxIpEfxzQmSD4ac8+CjUuDikdH4Yn8tvits8JqQc4BNBySVkxCMgppONh9woC0l1qVqszK4VE0Ofr9wBDYdacJ3RQ3YV9WO8UlsBHEm6w82YUOttfHN364bjcxodqXzNFFaXzw4PwMPzs9Ak64fm44248fDTdha0oKWbgM+21eDz/bVDN4/NtgX6VGBSIsMRHpUIOJCfOGrUkKjVkAJEQ29QHV7LwJ9NTBaRLR269HabUBLtx6tPYbBzyvbenG4XndCswAbpULAuMQQzMiIwIz0CIxJDGG7Z5IthpzztCg7Bl/sr8Xaonr86fKRHj8lK4oiCgaWqzHkSMPWfKCwls0HHEEURWw52gIAmJnpPXvr5Gx4TBB+MSEBH++pwf99exir75vq8c+t56OsuRuPfl4EALhzejLf9PACUVpfXD8xEddPTITBZMGeyjZsOtKMAzUdKG3qQUu3HvWd/ajv7MfWkpYzPIoKywu2DfmaGpUCI2KCkBWnRVasFllxWoyI0SKArcnJTXCknqdZmZHw91GirrMfBTWdHt9trKa9D209BqiVAkbG8h1DKQw2H6hl8wFHKGvpQW1HH3yUCkxJ8Y7ZWHfw8IJMfJlfh90VbdhwqImdwk7SazDhgff3oVtvQmqQiP+Xy0YD3sZHpcD0tAhMT/v5zZnOXiNKm7tQ2tQ9+NHaY4DeaIHeZEa/0Yyu3n6IChX6jWaoFAqEB/pYPwI0CA/0QUSgBuEBPogJ9kVWrBYpEQFed0wGeRaGnPPkq1Zi7ogofHOgHt8V1Xt8yLHtx8mK1bLNrkRszQd0/SZUtfUiOZz7ci7E1oEDQCelhMLfh0+FchEb7Ie7ZqTg1U3H8Le1hzF3eCRfaA0QRRGPf16II41diAz0wR2ZvVwqRACAYH81JiSHYULy6d+wMRqN+Pbbb3HppZdArVbzjTLyCnx2vACXZscCANYWNUAURYmrca6CgZAzmk0HJGNrPgDwvBxHsC3pmMn9OLLzwJw0hPqrUdrUjU/31pz7G7zEyh0V+DK/DiqFgBdvHINgH6krInfFgEPegCHnAswZHgmNSoHK1l4crNdJXY5THeB+HFnI5r4chzCYLPiprBUAmw7IkdZXjaXzrMuwnt9wFL0Gk8QVSW9PRRue/uYQAODxS0diYjKbMhARnQ1DzgUI0KgwO9P6AmltUYPE1TiPyWwZfFE9NpGHgErJFjJtywfp/OytbEevwYyIQA1GxHCPmRzdMjUJCaF+aNTp8c62cqnLkVRTVz8Wf7APJouIy0fH4q6LhkldEhGR7DHkXKBLc6xL1r7z4JBzpLELfUYzAjUqpEawB76Uxg2EnMKaTpiOO1ma7PNz6+gIHp4oUxqVEv/vkuEAgNc2l6G1Wy9xRdIwmCxY+sF+NHXpkREViL9dN5pLjYiIhoAh5wLNGxkFtVJAaVM3Shq7pC7HKfLK2wAA45ND+YJQYmmR1gPf+oxmHG3slroct7V1IOSwdbS8XTE6DtnxWnTrTfj3xlKpy5HEU18XY3dFGwI1Krx26wS27yUiGiKGnAuk9VVjRrr1hZKnLlnbXWENOWyzKz2FQsDoBOuSwYKBw1nJPi3dehTVWvfQzUjnfhw5UygEPL5oJADgg12VqGztkbgi13p/ZyU+2FUFQQBeuHEs0iI5k05ENFQMOQ5wyagYAMCGQ40SV+J4oihi98BMzmSGHFmwtSvPr+qQtA53tb3U2lUtK1aLyCCNxNXQuVyUHoFZmZEwmkUs//aw1OW4zM6yVjz5VTEA4P9dMhzzR/K8ICIiezDkOMC8EVEAgIKaTjTp+iWuxrHKWnrQ0m2Aj0oxOINA0hrL5gMXZPNRLlVzN3+4dARUCgFrixvwzYF6qctxuuq23sFGA1eOicMDs9OkLomIyO0w5DhAlNYXYwYCwMbDTRJX41i2WZxxiSE8BFQmxiaFAACONnWhW8/WuvYQRXHwfJzZbB3tNkbEaLF4jvWF/p++LEKLBzch6NGbcO97e9DWY0B2vJaNBoiIzhNDjoPYlhJsOOSZIYf7ceQjKsgX8SF+EEXgAPfl2OVwQxeau/TwUysxYRjPGXEnS+dlYERMENp6DPjzl0VSl+MUFouIRz4pwOGGLkQEavDGrRPh58M3l4iIzgdDjoPMH2ldsrattBn9RrPE1TjOz/txwiWuhI7HJWvnx9ZVbWpqGGcm3YyPSoF//HIMVAoB3xY24L8H6qQuyeH+vbEU3xU1QK0U8Pqt4xEX4id1SUREboshx0GyYrWIC/ZFv9GCHcdapC7HIWrae1Hb0QeVQsD45BCpy6HjjBk4lLWAIccutqVqM7lUzS1lxwdj8dx0AMCfvyz2qGVra4sa8PyGowCA/706BxOSOXtORHQhGHIcRBAEzBuYzfGUJWu2WZychGD4+/BsBjkZm2hdasWZnKHrM5ixa2BMz8pkyHFXS+emY2SsFm09BvxpTRFEUZS6pAu2t7IND6/OBwDcMX0Yrp+UKG1BREQegCHHgWz7cjYeavKIP7y7ytg6Wq5y4oOhVAho1OlR39kndTluYXdFGwwmC+KCfZEWGSB1OXSerMvWRkOlEPBdUQP+6+bd1g436HDnijz0Gc2YnRmJJy4bKXVJREQegSHHgaalhsPfR4kGXT+K63RSl3PBeAiofPn5KDE8OggAz8sZqi221tEZkexW5eZGxQVjyeCytSI0d7nnsrWq1l7c+vZu6PpNmJAcitdumQCVkn+WiYgcgc+mDuSrVmJmhvXsDXc/GLRJ14/ylh4IArg2XKZsraS5ZG1obE0HuFTNMywZWLbW3mt0y2VrTV39uOXtXWju0mNETBDeuX0SO6kRETkQQ46D2Zas/eDm+3JsszgjY7QI9lNLXA2dztiEEADAfoacc6rv7MPRxm4oBOCidHYK9ATHL1tbW9yArwrcp9taZ58Rt729G1VtvUgK88d7d01GsD+fZ4mIHIkhx8HmjYiCIACFtZ1o1PVLXc55+7l1NGdx5Mo2k1NY0wmT2SJtMTJn66o2OiEEIf4+EldDjjIqLhhL51mXrT32WSH2V7VLXNG59RnMuPvdPBxu6EJkkAbv3z0FUVpfqcsiIvI4DDkOFhGoGTzDxJ1nc3gIqPylRQYiUKNCn9GMkqZuqcuRNdt+nFkDy0nJcyyZm46ZGRHoM5px17t5KG3qkrqkMzKYLHjgg73YU9kOra8K/7l7MpLC/aUui4jIIzHkOMHFg0vW3HNfTkevAYcbrC8UJjHkyJZSIWB0gvW8HO7LOTOLRcT2UutMDvfjeB61UoHXbpmAMYkhaO+1LgOr65Bfx0GDyYKHP87HpiPN8FUrsOLOSRgRo5W6LCIij8WQ4wTzB87L2Vbagj6DWeJq7JdXYV3ykRYZgIhAjcTV0NnYZg3ZYe3MCms70d5rRJBGhTEDvy/yLAEaFVbcMQmpkQGo6+zHbe/sRnuPQeqyBnX0GnDr27vwzYF6qBQCXrtlAhu6EBE5GUOOEwyPDkJ8iB/0JsvgO8juZHd5KwBgcgo3aMud7UU7Z3LObPPAUrWL0iOgZntejxUW4IP/3D0FMVpflDZ1466Veeg1mKQuCxUtPbj2lR3YVd6GQI0Kb90+EXOGR0ldFhGRx+NffCcQBAEXD8zmuGMradt+nKmpfKdR7sYNhJyjTV3o1kv/gk6ObCFn9nAuVfN08SF+eO/uyQj2U2N/VQcWf7APRgmbcuRVtOGaV7ajrKUH8SF++PSBaQw4REQuwpDjJIOtpA83wWJxn/MbuvUmFA0cZDppGEOO3EVpfREX7AtRtHZZoxN19hoHO25xP453yIwOwjt3TIKvWoFNR5rx6KcHJHkOXrO/Fje/uQvtvUaMSQjGF0umcw8OEZELMeQ4yZTUMAT4KNHcpUdhrfu8+Nxb2Q6zRURimB/iQvykLoeGgIeCntm20hZYRCAjKhDxHM9eY0JyKF69eQKUCgFf7K/F458XumzpmiiKeH79UTy0Oh8GswULR8Xgo19PQ1QQ20QTEbkSQ46TaFTKwXeO3anL2uB+nGHcj+MuBpsPVMv/jBBX23zU2sZ9NmdxvM7cEVF49hejAQCr91Rj0Qtbsaus1anXbNT1Y+mH+/HCDyUAgPtmp+KVm8fDz0fp1OsSEdGpGHKcyLZkbYMbnZfD83Hcz9jEUACcyTmZKIrYcpSto73ZteMTsPKuyYgN9kVlay9ueGMn/vJlEXocvH+tW2/CP9cdwZxnN+GbA/VQKgQsvzYHjy8aCYVCcOi1iIhoaBhynGju8EgIAnCwXifLcxtO1m80o6DaurRuMkOO28iO10KpENCo06O+U/7jzFWONnajQdcPX7WC49mLzc6MxPcPz8KvJicCAFb+VImFL2zBjmMX3vnSZLbgg12VmPPsJry4sRR9RjPGJ4Xg0/un4VeTky748YmI6Pwx5DhReKAG45Os77L/cFj+szn51R0wmC2ICtIgmadwuw1/HxUyo4MA8Lyc49mWqk1NDYevmsuFvJnWV43l147Ge3dNRlywL6rb+nDTm7vwxJpCdPUb7X48URTxw6FGLHxhK/74RRFauvUYFu6PV28ej88emI5xA8/7REQkHZXUBXi6i0dGY29lO74vasCtU5OlLuesbEvVJqeEQRC4xMKdjE0MwaF6HfJrOrAoJ1bqcmRhsHU0l6rRgFkDszrLvzuMVbuq8P7OKny0uxqj4rQYnxyKCQMfscEnNqno0ZtwuKELh+p1OFivQ35VBw7WW7tQhvqr8Zv5Gbh5SjJ8VHzfkIhILhhynOyynFj8be1h7DjWgtZuPcIDNVKXdEbcj+O+xiWG4MPdVZzJGdCjNyGv3NqIgSGHjhfkq8Yz1+Tg0uxY/PnLIpS19KCgphMFNZ1Ysb0CgPW8nXFJIRBF63LjitYeiCd1ofZRKXDnRcOweE46gv3Urv9BiIjorBhynCwp3B+jE4JxoKYT3xU14BaZzuYYzRbsrbS+KJycws5q7sbWRrqwthNmiwill2923lnWCoPZgsQwP6REBEhdDsnQjIwI/PC72ajt6MPeynbsq2zH3qp2HKzTobajD7Un7aOMDNIgK1aLkbFaZMVpMSUlDNFatoUmIpIrhhwXuCwnFgdqOvHNgXrZhpyC6g70Gc0I8VcjIypQ6nLITmmRgQjwUaLHYMbRxi6MjPXuQwdtS9VmZURy6SWdkSAISAj1R0KoP64aGw/AOgtYUN2B/dUdUCqEwWATGSTfWXgiIjoVFxC7wKUDeyR2lbeiqatf4mpOb91B61k+szMj2fLUDSkVAkYnhABgK2kA2ML9OHSeAjQqTE+PwJK56bh/dhpmZUYy4BARuSGGHBdIDPPH2MQQWERgbVGD1OWcQhTFwbouGRUjcTV0vsYNLFnbV+ndh4JWtPSgorUXKoWA6ekRUpdDREREEmDIcZHLR1tnc/5bUC9xJac63NCFqrZeaFQKvvPtxiYNNIzYNdBAwlttKbHO4kwcFopADVfkEhEReSOGHBexLVnLq2xDQ6e8lqzZZnFmZUYigC8K3dbE5FAoBKCqrderDwXdfMS2VC1K4kqIiIhIKgw5LhIX4ocJyaEQReC7InnN5nxfbA05C7lUza0F+aqRHR8MANhV5p2zOXqTGTuOtQLgfhwiIiJvxpDjQpcNzOb894B8Qk5FSw8ON3RBqRAwfyTf+XZ3tjOOdpa1SlyJNPZUtKPPaEZkkAYjY4OkLoeIiIgk4rSQU1FRgbvvvhspKSnw8/NDWloa/vKXv8BgMDjrkrJ3aU4sBAHYW9mOug55LCeyzeJMSw1HiL+PxNXQhZqaaj3jyFv35bB1NBEREQFODDmHDx+GxWLB66+/juLiYjz//PN47bXX8Ic//MFZl5S9mGBfTEq2vtP+baE8ZnPWDoScS7K5VM0TTBwWBkEAylt60KST194vVxhsHT2cS9WIiIi8mdNCzsKFC7FixQrk5uYiNTUVV155JR555BF8/vnnzrqkW7h8jHyWrDV09mN/VQcAIDcrWtpiyCGC/dTIGjgIdKeXzeY0dPbjcEMXBAGYydbRREREXs2lrbQ6OzsRFhZ2xq/r9Xro9frBz3U6HQDAaDTCaDQ6vb6zsV3/Quu4eHgE/iJYD2wsb9IhIdTPEeWdl7WFtQCAcYnBCPNTSv479jSOGjP2mpQcguI6HXaUNmNRlvfMaGw8ZJ2VHB0fjEAfwe3Gs1TjhdwTxwvZg+OF7CHn8WJPTYIoiqITaxl07NgxjB8/Hs899xzuueee097nySefxFNPPXXK7atWrYK/v7+zS3SZfxcrUKpT4MokM+bHu+TXf1ovH1TgaKcCVyWbMS9OujrIsQrbBLx1RIloPxF/GGuWuhyXWXFUgfxWBRYmWLAo0SJ1OURERORgvb29uOmmm9DZ2QmtVnvW+9odcs4URI6Xl5eHiRMnDn5eV1eH2bNnY/bs2XjrrbfO+H2nm8lJTExES0vLOX8QZzMajVi/fj0WLFgAtVp9QY+1anc1/vL1IeTEa/H5/VMdVKF92nsNmPa3zTBbRGx4eAaSwzwnRMqFI8eMPTp6jZj8fz9CFIGffj8bEYEal11bKiazBVP+bxN0/SZ8/OvJGJcYInVJdpNqvJB74nghe3C8kD3kPF50Oh0iIiKGFHLsXq62dOlS3HjjjWe9z7Bhwwb/va6uDnPnzsW0adPwxhtvnPX7NBoNNJpTX5Cp1WrZ/JIdUctlY+Lx1H8PobBWhzqdAcnhAQ6qbug2lzTAbBExIiYI6dHBLr++N3H1+I0MVmN4dBAON3RhX3UXLhsd6LJrS2VfdSt0/SaE+KsxYVgElAr37awmp+c7kj+OF7IHxwvZQ47jxZ567A45ERERiIgY2qbe2tpazJ07FxMmTMCKFSugUPBYHgCICNRgWlo4tpe24pvCeiyek+7yGr4vbgQALGRXNY80NTUchxu6sLOsFZeNjpW6HKfbcMg6nucNj3LrgENERESO4bTUUVdXhzlz5iAxMRH/+Mc/0NzcjIaGBjQ0NDjrkm7l8tFxAID/Fri+y1qP3oQtJdZWuww5nmlqqrXBx65yzz8UVBRFrD9oDTkXs0sgERERwYkhZ926dSgtLcXGjRuRkJCA2NjYwQ8CLhkVA6VCwMF6Hcqau1167U1HmmEwWZAc7o/h0TwV3hNNTrEeCnq0sRttPZ59AG9pUzcqWnvho1RgVqb3dJMjIiKiM3NayLnjjjsgiuJpPwgIC/DBRQNneXzt4tkc2wGgC0fF8FR4DxUW4IPMaOtenN0ePpuzfmCp2vT0cARqXNoVn4iIiGSKm2QkdPVY65K193dVot/omla/epMZPx5uAgBcwqVqHm1qqnU2Z2eZZx8KOrhUbSSXqhEREZEVQ46ELh8dh9hgXzR36fHZvhqXXHNHaSu69SZEazUYmxDikmuSNKak2EKO587kNHX1I7+6AwBDDhEREf2MIUdCPioF7p2ZCgB4fXMZTGbnH2C4tsi6VC03KwYKdqHyaJNTrM0HjjR2oaPXM/flbDzUBFEERicEIybYV+pyiIiISCYYciR24+REhAX4oKqtF98UOndvjtkiDu5fYFc1zxcZpEFaZABEEdhV7plL1mytoxdwFoeIiIiOw5AjMX8fFe6cPgwA8MqPx2CxOK8xw+ajTWjrMSDEXz34Lj95Ntu+nF0euC+n12DC1pIWAGwdTURERCdiyJGB26YNQ6BGhSONXdg40BTA0SwWEf/4/igA4BfjE6BW8j+9N5hiCzke2GFtW0kL9CYLEkL9MCKGrdCJiIjoZ3ylKwPB/mrcPDUJAPDyplKntNn++kAdDtbrEKRRYfHcdIc/PsnT1IEZu4P1OnT2GSWuxrFsXdUWZEWzFToRERGdgCFHJu6ekQIflQL7qzoc3vLXYLLguXXWWZxfz0pFWICPQx+f5CtK64uUCOu+nDwP2pdjtoiDs57cj0NEREQnY8iRiaggX1w/MQEA8MqmUoc+9uq8KlS19SIiUIO7ZqQ49LFJ/qamWmdzPGnJ2v6qdrT2GKD1VWES95cRERHRSRhyZOS+WWlQKgRsLWlBYU2nQx6z12DCCz9YQ9Nv5qcjgCfCex3beTme1GHN1iVw7ogo7i8jIiKiU/DVgYwkhvnjyjFxABw3m/POtnK0dOuRFOaPGyclOeQxyb1MGZjJKartRFe/Z+zLOX4/DhEREdHJGHJk5oE5aQCAtcUNKG3qvqDHau8x4PXNZQCA3+VmwkfF/9zeKDbYD0lh/rCIwJ6KdqnLuWDHmrtR1twDtVLA7MxIqcshIiIiGeKrXpnJjA7CgqxoiCLw2uZjF/RYr2wqRZfehKxYLa4YHeegCskd2fbl7Cxz/305GwZmcaamhiPIVy1xNURERCRHDDkytHhgNmfN/lrUdvSd12PUdfRh5U+VAIBHFw6HQsEWu97sovQIAHDaOUyutGFgP04ul6oRERHRGTDkyNC4pFBMTwuHySLiL18WQ28y2/0Y/9pwFAaTBVNSwrikhzBneBRUCgElTd0oa76wZZBSau3WY2+ldcndfLaOJiIiojNgyJGp3+VmQq0UsOFQI+5ckWfXhvHSpi58urcGAPD7RSN4UCIh2E+NaWnWLmu2TfvuaOPhJlhEIDtei7gQP6nLISIiIpliyJGpCclhWHHHZAT4KLHjWCtufGMnmrv0Q/reZ78/AotoXc4zPinUyZWSu7At71rnxiHHFtAu5iwOERERnQVDjozNyIjA6vumISLQB8V1OvzitR2obO054/3LW3rw+08P4PviRigE614cIpuLB0LOvqp2NHX1S1yN/fqNZmwtaQHA1tFERER0dgw5MpcdH4xP75+OpDB/VLb24rpXd6Co9sSDQg/V6/Dgh/sx/7lNWL2nGgBw76xUpEcFSVEyyVRssB/GJARDFIEfDrlfA4L1BxvRZzQjPsQPWbFaqcshIiIiGWPIcQPDIgLw6QPTkBWrRUu3ATe8/hO2l7ZgX1U77n43D4te2IqvC+pgEYH5I6Lw2QPT8fiikVKXTTKUOyoGALCuuEHiSuz3+T7rPrNrx8dznxkRERGdlUrqAmhoooJ8sfq+qfj1e3vxU1krbn17Fyyi9WuCAFyWE4vFc9KRFcd3uOnMcrOi8ez3R7C9tBXdehMCNe7xFNDU1Y8tA0vVrhkXL3E1REREJHecyXEjQb5qvHvXJFyWEwuLCKiVAm6YmIgfls3GSzeNZ8Chc0qPCkRKRAAMZgs2H2mWupwh+yq/DmaLiHFJIUiNDJS6HCIiIpI593gblwZpVEq8+KtxuH5SIjKiAtlGl+wiCAJys6Lx+pYyrDvYgMtGx0pd0pB8vq8WAHDt+ASJKyEiIiJ3wJkcN6RUCJidGcmAQ+cld5S1M9nGw00wmCwSV3Nuh+p1OFivg1op4Ao3CWVEREQkLYYcIi8zNjEUEYEadPWbsKu8VepyzumL/dZZnPkjohHi7yNxNUREROQOGHKIvIxSIWBBVhQAYF2xvA8GNZktgyHn2vFsOEBERERDw5BD5IVys6ytpNcfbITF1qZPhrYfa0Vzlx6h/mrMGR4ldTlERETkJhhyiLzQtLRwBPgo0aDrR+FJh8vKie1snCvHxMFHxacrIiIiGhq+aiDyQr5q5eDMyLqD8jwYtKvfiO8HDi1lVzUiIiKyB0MOkZeydVmT676c74oa0G+0IC0yAKMTgqUuh4iIiNwIQw6Rl5ozPAoqhYCSpm6Ut/RIXc4pbEvVrh2fAEEQJK6GiIiI3AlDDpGXCvZTY1paOABgvcyWrNW092JnWRsEAbh6HLuqERERkX0Ycoi8WG6WPJesrRloGz0tNRzxPPSWiIiI7MSQQ+TFLh4IOXur2tHcpZe4GitRFPH5PtvZOGw4QERERPZjyCHyYrHBfhiTEAxRBH44JI/ZnPzqDpS19MBPrcTC7BipyyEiIiI3xJBD5OVyR1mDhG32RGq2OhZmxyBQo5K4GiIiInJHDDlEXu668QlQKwXsrmhDfnWHpLXoTWZ8faAOAHDteDYcICIiovPDkEPk5WKCfXHlGGugeHNLmaS1fLq3Bh29RsRofTE9LULSWoiIiMh9MeQQEe6dlQIA+K6oHlWtvZLUoDeZ8fLGUgDAfbNToVTwbBwiIiI6Pww5RIQRMVrMzoyERQTe2ibNbM7HedWo6+xHtFaDX01OkqQGIiIi8gwMOUQEALhvVioA4OM91WjrMbj02v1GM17+8RgAYMncdPiqlS69PhEREXkWhhwiAgBMSwtHdrwW/UYL/vNTpUuv/dHuKjTo+hEb7IsbJiW69NpERETkeRhyiAgAIAgCfj0rDQDw3k8V6DeaXXLdfqMZL2/6eRZHo+IsDhEREV0YhhwiGnRpdgziQ/zQ2mPAp3trXHLND3ZVoblLj/gQP1w/kbM4REREdOEYcohokEqpwN0zrJ3W3t5WDrNFdOr1+gxmvDowi/PgvHT4qPiURERERBeOryiI6AQ3TEpEsJ8a5S09WH+w0anXen9nJVq69UgM88N1ExKcei0iIiLyHgw5RHSCAI0Kt0y1tnB+Y8sxp12nR2/Ca5ttszgZUCv5dERERESO4ZJXFXq9HmPHjoUgCMjPz3fFJYnoAtw+fRh8lArsq+rAnoo2p1zjvZ8q0dpjQHK4P64dF++UaxAREZF3cknIefTRRxEXF+eKSxGRA0QF+eLa8dbg8foWxx8O2q03Dc4S/WZeBlScxSEiIiIHcvori++++w7r1q3DP/7xD2dfiogc6J6Z1sNBNxxqxLHmboc+9sodFWjvNSI1IgBXjeUbIERERORYKmc+eGNjI+69916sWbMG/v7+57y/Xq+HXq8f/Fyn0wEAjEYjjEaj0+ocCtv1pa6D3Ie7j5nkUA3mDY/ExiPN+Nt3h/DvG8ZAoRAu+HFbu/WDsziL56RCtJhhtLjmTB45c/fxQq7F8UL24Hghe8h5vNhTkyCKolN6xIqiiEsvvRQXXXQRnnjiCVRUVCAlJQX79+/H2LFjT/s9Tz75JJ566qlTbl+1atWQQhIROVZlF/CvIiUsEDAn1oKrky0QLiDn9JqAl4qVqO0VEOMn4vdjzHBAbiIiIiIv0Nvbi5tuugmdnZ3QarVnva/dIedMQeR4eXl52LFjB1avXo0tW7ZAqVQOKeScbiYnMTERLS0t5/xBnM1oNGL9+vVYsGAB1Gq1pLWQe/CUMfPF/jo8+nkRAOD/5Wbg1zNTzutxuvUm3LlyL/KrOxER6INVd09CSkSAI0t1a54yXsg1OF7IHhwvZA85jxedToeIiIghhRy7l6stXboUN95441nvM2zYMDz99NPYuXMnNBrNCV+bOHEibr75ZqxcufKU79NoNKfcHwDUarVsfslyqoXcg7uPmesnJ6Oz34z//fYQnl1XgkitH66fmGjXY/QbzVi8qgD51Z0I9lPj/XumIDNG2jcu5Mrdxwu5FscL2YPjhewhx/FiTz12h5yIiAhERESc834vvvginn766cHP6+rqcMkll2D16tWYMmWKvZclIgndOysVLd16vL6lDI9/Xogwfx9cnBU9pO81mCxY/ME+/FTWigAfJVbeNRkjGHCIiIjIiZzWeCApKemEzwMDAwEAaWlpSEjgyeZE7uaxRSPQ0m3AZ/tqsGTVPrx/zxRMGhZ21u8xW0Q8/HE+Nh5ugkalwNt3TMLYxBDXFExERERei4dTENGQCIKA/7suB/NHREFvsuCud/NwuEF3xvtbLCIe++wAvjlQD7VSwOu3TsDU1HAXVkxERETeyqktpI83bNgwOKmRGxG5iFqpwEs3jcetb+/Cnsp23Pb2bvzxspFQKgRYRGuwsYgiLCKws6wVn+6tgUIAXrxxHOYMj5K6fCIiIvISLgs5ROQZ/HyUePv2Sfjl6ztwtLEbv/0o/6z3f/YXY7AoJ9Y1xRERERGBIYeIzkOwvxrv3TUFz3x7CA2d/RAEQCEIUCgG/ikIUCkEXDs+AZeNZsAhIiIi12LIIaLzEhPsixd/NU7qMoiIiIhOwcYDRERERETkURhyiIiIiIjIozDkEBERERGRR2HIISIiIiIij8KQQ0REREREHoUhh4iIiIiIPApDDhEREREReRSGHCIiIiIi8igMOURERERE5FEYcoiIiIiIyKMw5BARERERkUdRSV3A2YiiCADQ6XQSVwIYjUb09vZCp9NBrVZLXQ65AY4ZsgfHC9mD44XswfFC9pDzeLFlAltGOBtZh5yuri4AQGJiosSVEBERERGRHHR1dSE4OPis9xHEoUQhiVgsFtTV1SEoKAiCIEhai06nQ2JiIqqrq6HVaiWthdwDxwzZg+OF7MHxQvbgeCF7yHm8iKKIrq4uxMXFQaE4+64bWc/kKBQKJCQkSF3GCbRarez+g5O8ccyQPTheyB4cL2QPjheyh1zHy7lmcGzYeICIiIiIiDwKQw4REREREXkUhpwh0mg0+Mtf/gKNRiN1KeQmOGbIHhwvZA+OF7IHxwvZw1PGi6wbDxAREREREdmLMzlERERERORRGHKIiIiIiMijMOQQEREREZFHYcghIiIiIiKPwpAzRK+88gpSUlLg6+uLCRMmYOvWrVKXRDL05JNPQhCEEz5iYmKkLotkYsuWLbjiiisQFxcHQRCwZs2aE74uiiKefPJJxMXFwc/PD3PmzEFxcbE0xZIsnGvM3HHHHac850ydOlWaYklSy5cvx6RJkxAUFISoqChcffXVOHLkyAn34XMM2QxlvLj78wtDzhCsXr0aDz30EP74xz9i//79mDlzJhYtWoSqqiqpSyMZGjVqFOrr6wc/CgsLpS6JZKKnpwdjxozBSy+9dNqv//3vf8c///lPvPTSS8jLy0NMTAwWLFiArq4uF1dKcnGuMQMACxcuPOE559tvv3VhhSQXmzdvxpIlS7Bz506sX78eJpMJubm56OnpGbwPn2PIZijjBXDv5xe2kB6CKVOmYPz48Xj11VcHbxs5ciSuvvpqLF++XMLKSG6efPJJrFmzBvn5+VKXQjInCAK++OILXH311QCs77DGxcXhoYcewu9//3sAgF6vR3R0NP72t7/hvvvuk7BakoOTxwxgfae1o6PjlBkeoubmZkRFRWHz5s2YNWsWn2PorE4eL4D7P79wJuccDAYD9u7di9zc3BNuz83NxY4dOySqiuSspKQEcXFxSElJwY033oiysjKpSyI3UF5ejoaGhhOeazQaDWbPns3nGjqrTZs2ISoqCpmZmbj33nvR1NQkdUkkA52dnQCAsLAwAHyOobM7ebzYuPPzC0POObS0tMBsNiM6OvqE26Ojo9HQ0CBRVSRXU6ZMwXvvvYfvv/8eb775JhoaGjB9+nS0trZKXRrJnO35hM81ZI9Fixbhgw8+wMaNG/Hcc88hLy8P8+bNg16vl7o0kpAoili2bBlmzJiB7OxsAHyOoTM73XgB3P/5RSV1Ae5CEIQTPhdF8ZTbiBYtWjT47zk5OZg2bRrS0tKwcuVKLFu2TMLKyF3wuYbsccMNNwz+e3Z2NiZOnIjk5GR88803uPbaayWsjKS0dOlSHDhwANu2bTvla3yOoZOdaby4+/MLZ3LOISIiAkql8pR3OZqamk55N4ToZAEBAcjJyUFJSYnUpZDM2brw8bmGLkRsbCySk5P5nOPFHnzwQXz11Vf48ccfkZCQMHg7n2PodM40Xk7H3Z5fGHLOwcfHBxMmTMD69etPuH39+vWYPn26RFWRu9Dr9Th06BBiY2OlLoVkLiUlBTExMSc81xgMBmzevJnPNTRkra2tqK6u5nOOFxJFEUuXLsXnn3+OjRs3IiUl5YSv8zmGjneu8XI67vb8wuVqQ7Bs2TLceuutmDhxIqZNm4Y33ngDVVVVuP/++6UujWTmkUcewRVXXIGkpCQ0NTXh6aefhk6nw+233y51aSQD3d3dKC0tHfy8vLwc+fn5CAsLQ1JSEh566CE888wzyMjIQEZGBp555hn4+/vjpptukrBqktLZxkxYWBiefPJJXHfddYiNjUVFRQX+8Ic/ICIiAtdcc42EVZMUlixZglWrVuHLL79EUFDQ4IxNcHAw/Pz8IAgCn2No0LnGS3d3t/s/v4g0JC+//LKYnJws+vj4iOPHjxc3b94sdUkkQzfccIMYGxsrqtVqMS4uTrz22mvF4uJiqcsimfjxxx9FAKd83H777aIoiqLFYhH/8pe/iDExMaJGoxFnzZolFhYWSls0SepsY6a3t1fMzc0VIyMjRbVaLSYlJYm33367WFVVJXXZJIHTjRMA4ooVKwbvw+cYsjnXePGE5xeek0NERERERB6Fe3KIiIiIiMijMOQQEREREZFHYcghIiIiIiKPwpBDREREREQehSGHiIiIiIg8CkMOERERERF5FIYcIiIiIiLyKAw5RERERETkURhyiIiIiIjIozDkEBGRrM2ZMwcPPfSQ1GUQEZEbYcghIiIiIiKPIoiiKEpdBBER0enccccdWLly5Qm3lZeXY9iwYdIUREREboEhh4iIZKuzsxOLFi1CdnY2/ud//gcAEBkZCaVSKXFlREQkZyqpCyAiIjqT4OBg+Pj4wN/fHzExMVKXQ0REboJ7coiIiIiIyKMw5BARERERkUdhyCEiIlnz8fGB2WyWugwiInIjDDlERCRrw4YNw65du1BRUYGWlhZYLBapSyIiIpljyCEiIll75JFHoFQqkZWVhcjISFRVVUldEhERyRxbSBMRERERkUfhTA4REREREXkUhhwiIiIiIvIoDDlERERERORRGHKIiIiIiMijMOQQEREREZFHYcghIiIiIiKPwpBDREREREQehSGHiIiIiIg8CkMOERERERF5FIYcIiIiIiLyKAw5RERERETkUf4/txDfPKHW06IAAAAASUVORK5CYII=",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "D = 0.5 # Underdamped: decaying oscillations\n",
    "#D = 2 # Critically damped\n",
    "#D = 2.1 # Overdamped: exponential decay\n",
    "\n",
    "periods = 4\n",
    "b = 2pi * periods\n",
    "\n",
    "stepsperperiod = 25\n",
    "n = Int(stepsperperiod * periods)\n",
    "\n",
    "(t, U) = rungekutta_system(f_mass_spring, a, b, u_0, n)\n",
    "Y = U[:,1]\n",
    "DY = U[:,2]\n",
    "y = y_mass_spring.(t; t_0=a, u_0=u_0, k=k, M=M, D=D)  # Exact solution\n",
    "\n",
    "damping(k, M, D)\n",
    "\n",
    "figure(figsize=[10,4])\n",
    "title(\"y for k/M=$(k/M), D=$D by Runge-Kutta with $periods periods, $stepsperperiod steps per period\")\n",
    "plot(t, Y, label=\"y computed\")\n",
    "plot(t, y, label=\"exact solution\")\n",
    "xlabel(\"t\")\n",
    "legend()\n",
    "grid(true)\n",
    "\n",
    "figure(figsize=[10,4])\n",
    "title(\"Error in Y\")\n",
    "plot(t, y-Y)\n",
    "xlabel(\"t\")\n",
    "grid(true)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f5004327-3cf0-4dfd-b2b9-01ac62dbffe2",
   "metadata": {},
   "source": [
    "### Example B. The Freely Rotating Pendulum (Under Construction)\n",
    "\n",
    "For now, this is just briefly explored as a cautionary tail of what can happen when slight changes in the system lead to qualitatively very different solution behavior.\n",
    "So we will look at a few examples for the conservative case $D=0$, close to the separatrix solutions noted above.\n",
    "\n",
    "Parameters can all be scaled away to $M = L = g = 1$ so the critical energy is $Mg = 1$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "2dc6f3ed-b8e6-4683-b4b2-d7e7863a80f0",
   "metadata": {},
   "outputs": [],
   "source": [
    "f_pendulum(t, u) = [ u[2], -(g/L)*sin(u[1]) ];"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "5ad41199-07a4-4aaa-bdc3-aabf5fec35ed",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "20.0"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "M = g = L = 1.0;\n",
    "E_0 = 1.0  # Separatrix\n",
    "#E_0 = 0.999\n",
    "#E_0 = 1.001\n",
    "\n",
    "theta_0 = 0.0\n",
    "omega_0 = sqrt(2(E_0 + M*g*cos(theta_0))/(M*L));\n",
    "u_0 = [theta_0, omega_0]\n",
    "\n",
    "a = 0.0\n",
    "\n",
    "#periods = 8  # periods of the linear approximation, \"sin(theta) = theta\"\n",
    "#b = 2pi * sqrt(L/g) * periods\n",
    "\n",
    "b = 80.0\n",
    "b = 20."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "6c5c9619-6b33-4bef-8323-ebe74a7d3461",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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qVXR0tAYPHixJCg8P16xZs7Rw4UJFRESoZ8+eevDBBzV06FCnpg0AAHRuZVUX9Ou/f6C/FJ1w3PTi+rjuumtEX92aFK1uIRzJAOA+jxuv6dOnq7KyUo888ohKS0uVlJSknTt3ql+/fpKajiB9/bO14uPjtXPnTi1YsEBr1qxRbGysnnrqKcet5CUpLS1Nmzdv1sMPP6wlS5Zo4MCB2rJli0aMGOH2uu568sknFRQUpIyMDJ0/f17jxo3Txo0bFRjo3TuiAAAA39DQaOgPBZ/p8byPdLa2XpI0PiFK94+7Wt/t0927yQHosNp1c4158+Zp3rx5Lp/buHGj09iYMWNUWFjY5pzTpk3TtGnT2r2uK5999pnTWEhIiFatWqVVq1a5PQ8AAOgcys9c0APPH1TBp5WSmo5wLZtyra6P6+7dxAB0eO1qvAAAAPzN/k8r9ZM/FqnibK1CgwOVPWmI7hzRT4EBXLsF4Nuj8QIAAJ3eS++UasGWg6praNTgqG5ac9dwXd37Km+nBcCP0HgBAIBO7dk3P9eSHUdkGNKt10bryenXq0sw134DuLxovAAAQKf1p38c08N/OSJJ+lFqPy39l2s5tRCAKWi8AABAp/S3I6X6+dZ3JEkzb4rXktsT+CwuAKbx7Y9TBwAAMMGRE1Wav+WgGg1pxg1xNF0ATEfjBQAAOpWKs7X6j03/0AV7o8Zc00u//LehNF0ATEfjBQAAOo3GRkMPbC7SyaoLGhDZVU/9+zCu6QJwRdB4AQCATuN3bxTrjY8rFWIN0IYfJSu8i9XbKQHoJGi8AABAp/BBWbV+/bcPJUlLbk/U1b27eTkjAJ0JjRcAAPB7DY2G/utP76iuoVHjE3rrzhv7ejslAJ0MjRcAAPB7z+3/XIdPVKlbSJB+9X1upgHgyqPxAgAAfq38zAX9z8VTDP9r4mD17hbi5YwAdEY0XgAAwK899tcPdaa2Xt/tE667RvTzdjoAOikaLwAA4Lc+KKvWtqLjkqTlU67l1vEAvIbGCwAA+K3/+duHMgxp8tBoDevbw9vpAOjEaLwAAIBfeqv4lF7+oFyBARY9mD7Y2+kA6ORovAAAgF96Iq/phhrTb4jTgF5XeTkbAJ0djRcAAPA7Bz4/rf3Fp2QNtOi+W672djoAQOMFAAD8z7rXPpYk/duw7ygmvIuXswEAGi8AAOBnPiw7o13vl8tikX48ZqC30wEASTReAADAz6zf/YkkaXJSjAZybRcAH0HjBQAA/MaXZ2r14jsnJUk/HjPAy9kAwD/ReAEAAL+x+a0S2RsMDevbXd/t093b6QCAQ7sar7Vr1yo+Pl4hISFKTk7Wnj172ozfvXu3kpOTFRISogEDBmj9+vVOMVu3blViYqJsNpsSExO1fft2j9ddtmyZhgwZoq5du6pHjx4aP3689u/f3yJm7NixslgsLb5mzJjRjioAAABfUt/QqD++VSJJuju1v3eTAYBv8Ljx2rJli+bPn6/FixerqKhIo0aN0qRJk1RSUuIyvri4WJMnT9aoUaNUVFSkhx56SPfff7+2bt3qiCkoKND06dOVmZmpQ4cOKTMzUxkZGS2aJnfWveaaa7R69WodPnxYe/fuVf/+/ZWenq4vv/yyRU5z5sxRaWmp4+vpp5/2tAwAAMDH7Hr/C5VWXVBE12BNGhrt7XQAoAWPG6+VK1dq1qxZmj17thISEpSTk6O4uDitW7fOZfz69evVt29f5eTkKCEhQbNnz9bMmTP1+OOPO2JycnI0YcIEZWdna8iQIcrOzta4ceOUk5Pj0bp33nmnxo8frwEDBujaa6/VypUrVV1drXfeeadFTqGhoYqOjnZ8hYeHe1oGAADgYzYVfC5J+vcb+8oWFOjlbACgpSBPguvq6nTgwAEtWrSoxXh6err27dvncpuCggKlp6e3GJs4caJyc3Nlt9tltVpVUFCgBQsWOMU0N17tWbeurk4bNmxQeHi4rrvuuhbPPffcc3r22WcVFRWlSZMmaenSperWrZvLeWpra1VbW+t4XF1dLUmy2+2y2+0ut7mSmnPwhVz8EfU1F/U1F/U1F/U1l6f1LTlVo32fVCrAImUkx/JzuQT2X3NRX3P5Un09ycGjxquiokINDQ2KiopqMR4VFaWysjKX25SVlbmMr6+vV0VFhWJiYlqNaZ7Tk3VffPFFzZgxQzU1NYqJiVF+fr4iIyMdz991112Kj49XdHS0jhw5ouzsbB06dEj5+fku81+xYoWWL1/uNJ6Xl6fQ0FCX23hDa/nj8qC+5qK+5qK+5qK+5nK3vn89FiApQNeENarojVdUZG5afoP911zU11y+UN+amhq3Yz1qvJpZLJYWjw3DcBq7VPw3x92Z052Y733vezp48KAqKir029/+1nGtWO/evSU1Xd/VLCkpSYMGDVJKSooKCws1fPhwp9yzs7OVlZXleFxdXa24uDilp6crLCys1dd8pdjtduXn52vChAmyWq3eTsfvUF9zUV9zUV9zUV9zeVLfxkZD//PkHkkX9OP06zT5uzFXJskOjP3XXNTXXL5U3+az4dzhUeMVGRmpwMBAp6NM5eXlTkejmkVHR7uMDwoKUkRERJsxzXN6sm7Xrl119dVX6+qrr9bIkSM1aNAg5ebmKjs722V+w4cPl9Vq1dGjR102XjabTTabzWncarV6/Qf9db6Wj7+hvuaivuaivuaivuZyp74Fn1Tq+FcX1C0kSJO++x1ZrVzf5S72X3NRX3P5Qn09Wd+jm2sEBwcrOTnZ6bBefn6+0tLSXG6TmprqFJ+Xl6eUlBRHoq3FNM/ZnnWbGYbR4hqtb3r33Xdlt9sVE8NfxwAA6Ij+fOC4JOn278YqhKYLgI/y+FTDrKwsZWZmKiUlRampqdqwYYNKSko0d+5cSU2n5p04cUKbNm2SJM2dO1erV69WVlaW5syZo4KCAuXm5ur55593zPnAAw9o9OjReuyxxzR16lTt2LFDu3bt0t69e91e99y5c/rlL3+pKVOmKCYmRpWVlVq7dq2OHz+uH/zgB5KkTz75RM8995wmT56syMhIvffee1q4cKGGDRumm266qf1VBAAAXnGutl5/PVIqSZqW3MfL2QBA6zxuvKZPn67Kyko98sgjKi0tVVJSknbu3Kl+/fpJkkpLS1t8tlZ8fLx27typBQsWaM2aNYqNjdVTTz2lO+64wxGTlpamzZs36+GHH9aSJUs0cOBAbdmyRSNGjHB73cDAQH3wwQd65plnVFFRoYiICN1www3as2ePrr32WklNR85efvll/eY3v9HZs2cVFxen2267TUuXLlVgIH8hAwCgo9n1/heqqWtQfGRXDe/b3dvpAECr2nVzjXnz5mnevHkun9u4caPT2JgxY1RYWNjmnNOmTdO0adPavW5ISIi2bdvW5vZxcXHavXt3mzEAAKDjePGdpqNd//LdmDZv9AUA3ubxBygDAAD4guoLdu3+8EtJ0m3fjfVyNgDQNhovAADQIe167wvVNTTq6t5X6Zqoq7ydDgC0icYLAAB0SC9dPM3wtqGcZgjA99F4AQCADqfqvF2vH206zfB2PjAZQAdA4wUAADqcvHfLZG8wNDiqmwZFdfN2OgBwSTReAACgw/nbkTJJ0uShHO0C0DHQeAEAgA6lpq5eez+ukCRNTIrycjYA4B4aLwAA0KHsPVqh2vpGxfXsosGcZgigg6DxAgAAHUr+e19IksYnRHE3QwAdBo0XAADoMBoaDb3yQbkkaUICpxkC6DhovAAAQIdx8NhpVZ6rU1hIkG6I7+ntdADAbTReAACgw8h/r+lo1/eG9JY1kF9jAHQcvGMBAIAOY9f7/7y+CwA6EhovAADQIRRXnNPH5WdlDbRozOBe3k4HADxC4wUAADqEVy/eVOPG+J4KC7F6ORsA8AyNFwAA6BB2f/SlJGnsNb29nAkAeI7GCwAA+LwL9ga9+WmlJHGaIYAOicYLAAD4vLeKT6m2vlEx4SEa1Psqb6cDAB6j8QIAAD6v+TTD0YN6yWKxeDkbAPAcjRcAAPB5zY0XpxkC6KhovAAAgE878dV5fVx+VoEBFt10daS30wGAdqHxAgAAPu31i0e7ro/rrvAu3EYeQMdE4wUAAHza7g8vnmZ4DacZAui4aLwAAIDPsjc06o2PKyTReAHo2NrVeK1du1bx8fEKCQlRcnKy9uzZ02b87t27lZycrJCQEA0YMEDr1693itm6dasSExNls9mUmJio7du3e7zusmXLNGTIEHXt2lU9evTQ+PHjtX///hYxtbW1uu+++xQZGamuXbtqypQpOn78eDuqAAAAzHboeJXO1NarR6hVSd8J93Y6ANBuHjdeW7Zs0fz587V48WIVFRVp1KhRmjRpkkpKSlzGFxcXa/LkyRo1apSKior00EMP6f7779fWrVsdMQUFBZo+fboyMzN16NAhZWZmKiMjo0XT5M6611xzjVavXq3Dhw9r79696t+/v9LT0/Xll186YubPn6/t27dr8+bN2rt3r86ePavbb79dDQ0NnpYCAACYbO/HTR+afPOgXgoM4DbyADoujxuvlStXatasWZo9e7YSEhKUk5OjuLg4rVu3zmX8+vXr1bdvX+Xk5CghIUGzZ8/WzJkz9fjjjzticnJyNGHCBGVnZ2vIkCHKzs7WuHHjlJOT49G6d955p8aPH68BAwbo2muv1cqVK1VdXa133nlHklRVVaXc3Fw98cQTGj9+vIYNG6Znn31Whw8f1q5duzwtBQAAMNn+4lOSpJsGRng5EwD4doI8Ca6rq9OBAwe0aNGiFuPp6enat2+fy20KCgqUnp7eYmzixInKzc2V3W6X1WpVQUGBFixY4BTT3Hi1Z926ujpt2LBB4eHhuu666yRJBw4ckN1ub5FPbGyskpKStG/fPk2cONFpntraWtXW1joeV1dXS5LsdrvsdrvLta+k5hx8IRd/RH3NRX3NRX3NRX3NZbfbVdsgHTxWJUm6oV84tb6M2H/NRX3N5Uv19SQHjxqviooKNTQ0KCoqqsV4VFSUysrKXG5TVlbmMr6+vl4VFRWKiYlpNaZ5Tk/WffHFFzVjxgzV1NQoJiZG+fn5ioyMdOQSHBysHj16uJ3/ihUrtHz5cqfxvLw8hYaGutzGG/Lz872dgl+jvuaivuaivuaivuYpPmNRfaOhnjZDhwte0xHONLzs2H/NRX3N5Qv1rampcTvWo8armcXS8p3PMAynsUvFf3PcnTndifne976ngwcPqqKiQr/97W8d14r17t271fzayj87O1tZWVmOx9XV1YqLi1N6errCwsJanfNKsdvtys/P14QJE2S18tkmlxv1NRf1NRf1NRf1NZfdbtcL//uyJGls4nd0221JXs7Iv7D/mov6msuX6tt8Npw7PGq8IiMjFRgY6HR0qLy83OloVLPo6GiX8UFBQYqIiGgzpnlOT9bt2rWrrr76al199dUaOXKkBg0apNzcXGVnZys6Olp1dXU6ffp0i6Ne5eXlSktLc5m/zWaTzWZzGrdarV7/QX+dr+Xjb6ivuaivuaivuaiveY5WNf1R9OZBvaixSdh/zUV9zeUL9fVkfY9urhEcHKzk5GSnw3r5+fmtNi6pqalO8Xl5eUpJSXEk2lpM85ztWbeZYRiOa7SSk5NltVpbzFNaWqojR45cch4AAHDlnLlg17FzTd+ncmMNAH7A41MNs7KylJmZqZSUFKWmpmrDhg0qKSnR3LlzJTWdmnfixAlt2rRJkjR37lytXr1aWVlZmjNnjgoKCpSbm6vnn3/eMecDDzyg0aNH67HHHtPUqVO1Y8cO7dq1S3v37nV73XPnzumXv/ylpkyZopiYGFVWVmrt2rU6fvy4fvCDH0iSwsPDNWvWLC1cuFARERHq2bOnHnzwQQ0dOlTjx49vfxUBAMBl9dZnp2XIov4RoYoJ7+LtdADgW/O48Zo+fboqKyv1yCOPqLS0VElJSdq5c6f69esnqekI0tc/Wys+Pl47d+7UggULtGbNGsXGxuqpp57SHXfc4YhJS0vT5s2b9fDDD2vJkiUaOHCgtmzZohEjRri9bmBgoD744AM988wzqqioUEREhG644Qbt2bNH1157rWOeJ598UkFBQcrIyND58+c1btw4bdy4UYGBgZ5XDwAAmGJ/8WlJ0oj4nl7OBAAuj3bdXGPevHmaN2+ey+c2btzoNDZmzBgVFha2Oee0adM0bdq0dq8bEhKibdu2tbl9c9yqVau0atWqS8YCAADvKPi06fO7UgfQeAHwDx5/gDIAAICZTp2r0wdlZyRJI+J7XCIaADoGGi8AAOBT9n9aKUmK7mIo8irnOwsDQEdE4wUAAHzKvk+aGq9rwg0vZwIAlw+NFwAA8CkFF494XR1G4wXAf9B4AQAAn1FefUEfl5+VxULjBcC/0HgBAACf0Xy0KzGmm7pavZwMAFxGNF4AAMBnFFy8vmskn98FwM/QeAEAAJ/RfGONkXx+FwA/Q+MFAAB8wvHTNSo5VaPAAItS+vH5XQD8C40XAADwCc2nGX63T7iusgV5ORsAuLxovAAAgE9obrxSB0R4ORMAuPxovAAAgNcZhuG4o2HawEgvZwMAlx+NFwAA8LrPKmtUWnVBwYEBSub6LgB+iMYLAAB43b5PKiRJ1/ftri7BgV7OBgAuPxovAADgdc3Xd6UN5PouAP6JxgsAAHiVYRh681NurAHAv9F4AQAArzpaflYVZ+sUYg3Q9X27ezsdADAFjRcAAPCqfR83Xd91Q/+esgVxfRcA/0TjBQAAvGrfxeu7RnKaIQA/RuMFAAC8pqHR0P7iU5K4sQYA/0bjBQAAvOb90mpVnbfrKluQhn4n3NvpAIBpaLwAAIDXNN9G/sb4ngoK5NcSAP6LdzgAAOA1zR+czG3kAfg7Gi8AAOAV9oZGvXXx+q5Uru8C4Ofa1XitXbtW8fHxCgkJUXJysvbs2dNm/O7du5WcnKyQkBANGDBA69evd4rZunWrEhMTZbPZlJiYqO3bt3u0rt1u189//nMNHTpUXbt2VWxsrH70ox/p5MmTLeYYO3asLBZLi68ZM2a0pwwAAOBbeOd4lc7VNSi8i1WJMWHeTgcATOVx47VlyxbNnz9fixcvVlFRkUaNGqVJkyappKTEZXxxcbEmT56sUaNGqaioSA899JDuv/9+bd261RFTUFCg6dOnKzMzU4cOHVJmZqYyMjK0f/9+t9etqalRYWGhlixZosLCQm3btk0fffSRpkyZ4pTTnDlzVFpa6vh6+umnPS0DAAD4lgq+dpphQIDFy9kAgLk8brxWrlypWbNmafbs2UpISFBOTo7i4uK0bt06l/Hr169X3759lZOTo4SEBM2ePVszZ87U448/7ojJycnRhAkTlJ2drSFDhig7O1vjxo1TTk6O2+uGh4crPz9fGRkZGjx4sEaOHKlVq1bpwIEDTk1haGiooqOjHV/h4dxFCQCAK63g06Yba6RdzWmGAPxfkCfBdXV1OnDggBYtWtRiPD09Xfv27XO5TUFBgdLT01uMTZw4Ubm5ubLb7bJarSooKNCCBQucYpobr/asK0lVVVWyWCzq3r17i/HnnntOzz77rKKiojRp0iQtXbpU3bp1czlHbW2tamtrHY+rq6slNZ3aaLfbW137SmnOwRdy8UfU11zU11zU11zU99uptTfoH5+dliTd0DfcqY7U11zU11zU11y+VF9PcvCo8aqoqFBDQ4OioqJajEdFRamsrMzlNmVlZS7j6+vrVVFRoZiYmFZjmudsz7oXLlzQokWLdOeddyos7J/njd91112Kj49XdHS0jhw5ouzsbB06dEj5+fku51mxYoWWL1/uNJ6Xl6fQ0FCX23hDa/nj8qC+5qK+5qK+5qK+7XO0yqLa+kCFWQ19+Pbr+qiVMw2pr7mor7mor7l8ob41NTVux3rUeDWzWFq+OxqG4TR2qfhvjrszp7vr2u12zZgxQ42NjVq7dm2L5+bMmeP4PikpSYMGDVJKSooKCws1fPhwp7mys7OVlZXleFxdXa24uDilp6e3aOi8xW63Kz8/XxMmTJDVavV2On6H+pqL+pqL+pqL+n47OS9/LL33qcYkxOi2277r9Dz1NRf1NRf1NZcv1bf5bDh3eNR4RUZGKjAw0OkoU3l5udPRqGbR0dEu44OCghQREdFmTPOcnqxrt9uVkZGh4uJivfLKK5dsjoYPHy6r1aqjR4+6bLxsNptsNpvTuNVq9foP+ut8LR9/Q33NRX3NRX3NRX3bZ39x02mGNw/q1Wb9qK+5qK+5qK+5fKG+nqzv0c01goODlZyc7HRYLz8/X2lpaS63SU1NdYrPy8tTSkqKI9HWYprndHfd5qbr6NGj2rVrl6Oxa8u7774ru92umJiYS8YCAIBv71xtvQ4e+0qSlDYw0rvJAMAV4vGphllZWcrMzFRKSopSU1O1YcMGlZSUaO7cuZKaTs07ceKENm3aJEmaO3euVq9eraysLM2ZM0cFBQXKzc3V888/75jzgQce0OjRo/XYY49p6tSp2rFjh3bt2qW9e/e6vW59fb2mTZumwsJCvfjii2poaHAcIevZs6eCg4P1ySef6LnnntPkyZMVGRmp9957TwsXLtSwYcN00003tb+KAADAbW9/dkr1jYb69OiiuJ6+c700AJjJ48Zr+vTpqqys1COPPKLS0lIlJSVp586d6tevnySptLS0xe3b4+PjtXPnTi1YsEBr1qxRbGysnnrqKd1xxx2OmLS0NG3evFkPP/ywlixZooEDB2rLli0aMWKE2+seP35cL7zwgiTp+uuvb5Hzq6++qrFjxyo4OFgvv/yyfvOb3+js2bOKi4vTbbfdpqVLlyowMNDTUgAAgHYo+OTibeQHcht5AJ1Hu26uMW/ePM2bN8/lcxs3bnQaGzNmjAoLC9ucc9q0aZo2bVq71+3fv7/jph2tiYuL0+7du9uMAQAA5trnaLw4zRBA5+HxBygDAAC0V1WNXUdOVkmSUjniBaATofECAABXzJvFlTIMaWCvrooKC/F2OgBwxdB4AQCAK6aA0wwBdFI0XgAA4Ip54+MKSZxmCKDzofECAABXRGnVeR0tP6sAC3c0BND50HgBAIArYs/RpqNd3+3TXd1Dg72cDQBcWTReAADgimhuvEYP4vouAJ0PjRcAADBdY6OhvUe/lCSNvqaXl7MBgCuPxgsAAJjuyMkqna6xq5stSNfFdfd2OgBwxdF4AQAA0zWfZpg6MELWQH79AND58M4HAABM9/pHTacZjuI0QwCdFI0XAAAw1dnaehWWnJbEjTUAdF40XgAAwFT7P62UvcFQ356h6hfR1dvpAIBX0HgBAABTNV/fNYqjXQA6MRovAABgqt3N13cN4vouAJ0XjRcAADDNp1+eVXHFOVkDLbqZI14AOjEaLwAAYJpXPiiXJI2Ij9BVtiAvZwMA3kPjBQAATNPceH1vSG8vZwIA3kXjBQAATFF9wa63ik9JksbReAHo5Gi8AACAKfYerVB9o6EBvbqqfyS3kQfQudF4AQAAU7z8ftNphrcM5mgXANB4AQCAy66x0dBrH15svBJovACAxgsAAFx2h45/pcpzdepmC9IN/Xt6Ox0A8DoaLwAAcNnlv/eFJGn0Nb1kDeTXDQBo1zvh2rVrFR8fr5CQECUnJ2vPnj1txu/evVvJyckKCQnRgAEDtH79eqeYrVu3KjExUTabTYmJidq+fbtH69rtdv385z/X0KFD1bVrV8XGxupHP/qRTp482WKO2tpa3XfffYqMjFTXrl01ZcoUHT9+vD1lAAAALhiGob8dKZMkpV8b5eVsAMA3eNx4bdmyRfPnz9fixYtVVFSkUaNGadKkSSopKXEZX1xcrMmTJ2vUqFEqKirSQw89pPvvv19bt251xBQUFGj69OnKzMzUoUOHlJmZqYyMDO3fv9/tdWtqalRYWKglS5aosLBQ27Zt00cffaQpU6a0yGf+/Pnavn27Nm/erL179+rs2bO6/fbb1dDQ4GkpAACAC0fLz+rTinMKDgzQLdxGHgAktaPxWrlypWbNmqXZs2crISFBOTk5iouL07p161zGr1+/Xn379lVOTo4SEhI0e/ZszZw5U48//rgjJicnRxMmTFB2draGDBmi7OxsjRs3Tjk5OW6vGx4ervz8fGVkZGjw4MEaOXKkVq1apQMHDjias6qqKuXm5uqJJ57Q+PHjNWzYMD377LM6fPiwdu3a5WkpAACAC3893HS0a9SgSHULsXo5GwDwDUGeBNfV1enAgQNatGhRi/H09HTt27fP5TYFBQVKT09vMTZx4kTl5ubKbrfLarWqoKBACxYscIppbrzas67U1GhZLBZ1795dknTgwAHZ7fYW+cTGxiopKUn79u3TxIkTneaora1VbW2t43F1dbWkplMb7XZ7q2tfKc05+EIu/oj6mov6mov6mov6tu6vR0olSeMTerW7PtTXXNTXXNTXXL5UX09y8KjxqqioUENDg6KiWp6vHRUVpbKyMpfblJWVuYyvr69XRUWFYmJiWo1pnrM96164cEGLFi3SnXfeqbCwMEcuwcHB6tGjh9vzrFixQsuXL3caz8vLU2hoqMttvCE/P9/bKfg16msu6msu6msu6ttSxQXpg7IgBciQceyQdpYd+lbzUV9zUV9zUV9z+UJ9a2pq3I71qPFqZrFYWjw2DMNp7FLx3xx3Z05317Xb7ZoxY4YaGxu1du3aNl7JpfPPzs5WVlaW43F1dbXi4uKUnp7uaOi8yW63Kz8/XxMmTJDVyukclxv1NRf1NRf1NRf1dW3DnmJJRzVyYIR+MDWl3fNQX3NRX3NRX3P5Un2bz4Zzh0eNV2RkpAIDA52ODpWXlzsdjWoWHR3tMj4oKEgRERFtxjTP6cm6drtdGRkZKi4u1iuvvNKiOYqOjlZdXZ1Onz7d4qhXeXm50tLSXOZvs9lks9mcxq1Wq9d/0F/na/n4G+prLuprLuprLurbUt57TR+aPGlo7GWpC/U1F/U1F/U1ly/U15P1Pbq5RnBwsJKTk50O6+Xn57fauKSmpjrF5+XlKSUlxZFoazHNc7q7bnPTdfToUe3atcvR2DVLTk6W1WptMU9paamOHDnSav4AAMA9xRXndOh4lQIDLLr12mhvpwMAPsXjUw2zsrKUmZmplJQUpaamasOGDSopKdHcuXMlNZ2ad+LECW3atEmSNHfuXK1evVpZWVmaM2eOCgoKlJubq+eff94x5wMPPKDRo0frscce09SpU7Vjxw7t2rVLe/fudXvd+vp6TZs2TYWFhXrxxRfV0NDgOELWs2dPBQcHKzw8XLNmzdLChQsVERGhnj176sEHH9TQoUM1fvz49lcRAABox8ETkqSbro5Ur27OZ4sAQGfmceM1ffp0VVZW6pFHHlFpaamSkpK0c+dO9evXT1LTEaSvf6ZXfHy8du7cqQULFmjNmjWKjY3VU089pTvuuMMRk5aWps2bN+vhhx/WkiVLNHDgQG3ZskUjRoxwe93jx4/rhRdekCRdf/31LXJ+9dVXNXbsWEnSk08+qaCgIGVkZOj8+fMaN26cNm7cqMDAQE9LAQAALjIMQzsOnpQk/duwWC9nAwC+p10315g3b57mzZvn8rmNGzc6jY0ZM0aFhYVtzjlt2jRNmzat3ev279/fcdOOtoSEhGjVqlVatWrVJWMBAIB73jlepeKKc+piDVR6IqcZAsA3efwBygAAAN/0l4unGU5IjFJXW7v+rgsAfo3GCwAAfCv1DY36v0NNH5r8r5xmCAAu0XgBAIBv5ZUPylVxtlYRXYM1alAvb6cDAD6JxgsAAHwrm98+JkmaltxH1kB+tQAAV3h3BAAA7Xbyq/N67cOmD02efkOcl7MBAN9F4wUAANrt//3jmBoNaeSAnhrQ6ypvpwMAPovGCwAAtEtDo6H/d/E0w3+/sa+XswEA30bjBQAA2mXX+1/oZNUFdQ+1auK1fHYXALSFxgsAALRL7t5iSU1Hu0KsgV7OBgB8G40XAADw2JETVXqr+JSCAiy6O7W/t9MBAJ9H4wUAADzWfLTrtu/GKDo8xMvZAIDvo/ECAAAeKau6oBffOSlJmnVzvJezAYCOgcYLAAB4ZP3uT2RvMHRjfE99t093b6cDAB0CjRcAAHDbF9UX9Me3SiRJD4wb5OVsAKDjoPECAABuW7/7E9XVNyqlXw+lDYzwdjoA0GHQeAEAALeUVV3QH/dfPNo1fpAsFouXMwKAjoPGCwAAuOXxvA9Ve/Fo181XR3o7HQDoUGi8AADAJR05UaWthcclSYtvS+BoFwB4iMYLAAC0yTAM/fKl92UY0pTrYjWsbw9vpwQAHQ6NFwAAaNMLh06q4NNKBQcF6Ge3DvZ2OgDQIdF4AQCAVp06V6fl//eeJOm+712tPj1CvZwRAHRMNF4AAKBV//3iezp1rk6Do7rpx2MGejsdAOiwaLwAAIBL/3fopLYXnZDFIj16x1AFB/FrAwC0F++gAADAybFTNXpo22FJ0ryxA7mhBgB8S+1qvNauXav4+HiFhIQoOTlZe/bsaTN+9+7dSk5OVkhIiAYMGKD169c7xWzdulWJiYmy2WxKTEzU9u3bPV5327ZtmjhxoiIjI2WxWHTw4EGnOcaOHSuLxdLia8aMGZ4VAAAAP3bB3qCf/rFQZ2rrldyvh+aPv8bbKQFAh+dx47VlyxbNnz9fixcvVlFRkUaNGqVJkyappKTEZXxxcbEmT56sUaNGqaioSA899JDuv/9+bd261RFTUFCg6dOnKzMzU4cOHVJmZqYyMjK0f/9+j9Y9d+6cbrrpJj366KNtvoY5c+aotLTU8fX00097WgYAAPxSY6OhhX86pEPHqxTexarfzLhe1kBOkAGAb8vjd9KVK1dq1qxZmj17thISEpSTk6O4uDitW7fOZfz69evVt29f5eTkKCEhQbNnz9bMmTP1+OOPO2JycnI0YcIEZWdna8iQIcrOzta4ceOUk5Pj0bqZmZn6xS9+ofHjx7f5GkJDQxUdHe34Cg8P97QMAAD4pZX5H+mld0plDbRo/Q+TuYshAFwmQZ4E19XV6cCBA1q0aFGL8fT0dO3bt8/lNgUFBUpPT28xNnHiROXm5sput8tqtaqgoEALFixwimluvNqzbluee+45Pfvss4qKitKkSZO0dOlSdevWzWVsbW2tamtrHY+rq6slSXa7XXa73eO1L7fmHHwhF39Efc1Ffc1Ffc3lj/Vd+9qnWv3qx5KkR6YkKqVvmNdenz/W15dQX3NRX3P5Un09ycGjxquiokINDQ2KiopqMR4VFaWysjKX25SVlbmMr6+vV0VFhWJiYlqNaZ6zPeu25q677lJ8fLyio6N15MgRZWdn69ChQ8rPz3cZv2LFCi1fvtxpPC8vT6GhvvNXwNbyx+VBfc1Ffc1Ffc3lD/U1DCn/hEUvHQuUJP1L3waFlh3Szp2HvJyZf9TXl1Ffc1Ffc/lCfWtqatyO9ajxamaxWFo8NgzDaexS8d8cd2dOT9d1Zc6cOY7vk5KSNGjQIKWkpKiwsFDDhw93is/OzlZWVpbjcXV1teLi4pSenq6wsDCP1jaD3W5Xfn6+JkyYIKvV6u10/A71NRf1NRf1NZe/1Nfe0KjlL76vl46dkCRljb9a/zlmgJez8p/6+irqay7qay5fqm/z2XDu8KjxioyMVGBgoNNRpvLycqejUc2io6NdxgcFBSkiIqLNmOY527Ouu4YPHy6r1aqjR4+6bLxsNptsNpvTuNVq9foP+ut8LR9/Q33NRX3NRX3N1ZHr+0X1Bc3ffFAFn1YqwCItuT1R994U7+20WujI9e0IqK+5qK+5fKG+nqzv0c01goODlZyc7HRYLz8/X2lpaS63SU1NdYrPy8tTSkqKI9HWYprnbM+67nr33Xdlt9sVExPzreYBAKAj+fu7Zbo153UVfFqpLtZAPZ2Z4nNNFwD4E49PNczKylJmZqZSUlKUmpqqDRs2qKSkRHPnzpXUdGreiRMntGnTJknS3LlztXr1amVlZWnOnDkqKChQbm6unn/+ececDzzwgEaPHq3HHntMU6dO1Y4dO7Rr1y7t3bvX7XUl6dSpUyopKdHJkyclSR9++KEkOe5e+Mknn+i5557T5MmTFRkZqffee08LFy7UsGHDdNNNN7WjfAAAdCzHTtVo+f+9q13vl0uSEmPCtOrOYRrY6yovZwYA/s3jxmv69OmqrKzUI488otLSUiUlJWnnzp3q16+fJKm0tLTFZ2vFx8dr586dWrBggdasWaPY2Fg99dRTuuOOOxwxaWlp2rx5sx5++GEtWbJEAwcO1JYtWzRixAi315WkF154Qffee6/jcfMHIy9dulTLli1TcHCwXn75Zf3mN7/R2bNnFRcXp9tuu01Lly5VYGCgp6UAAKDDOHaqRut2f6I//+O46hoaFRRg0ZzRAzR//CDZgvj/QAAwW7turjFv3jzNmzfP5XMbN250GhszZowKCwvbnHPatGmaNm1au9eVpHvuuUf33HNPq8/HxcVp9+7dba4BAIC/aGg09PrRL7XlrWPa9f4Xqm9surnVzVdHatmURF3d2/VHqQAALr92NV4AAMA3naut1xsfV+jl98v1yofl+vLMPz+LctSgSN13yyDdGN/TixkCQOdE4wUAQAdVdd6uT788q6PlZ3Xo2FcqLPlKH5ZV6+KBLUlS91Cr/m3YdzT9hjgNifb+x6AAQGdF4wUAgI+ob2jU2dp6nblQ/7V/7Tp1zq7yMxdUXl3r+PfzUzUtjmZ9XZ8eXTRuSG+NS4jSiAE9uYYLAHwAjRc6BMMwdK6uQafP1ammrkHn6up1vq5B52rrdd7eoJq6BtXaG1TfaMjeYKi+oVH2RkMNjY2qb7g41tio+kZDhmHIMNT0pabvGy9+f/F/TTGSGhoadfJkgPLOvCMFWBzbdjQefs74FdPYaKisNEB/rT6kgADPk/TkZ+FRrDz7IXs2tznzupq9sdFQeXmAdpwqcqqvWTk3ze3+FmbWw7O5Pf8Pu7HRUEVFgP5f+YE2999Gw5C93lBdQ6PsDc3vSY2Ox/bmx/WNqq1v9DiPqDCbBva6SgkxYUru10PD+/ZQdHiIx/MAAMxF4wWfUFNXr4++OKuSUzU6dqpGx0+f14mvzqviTK1O19Sp8lyd6trxC8nlESBVll06DO0UIJ36wttJ+LEA6fSX3k7CjwXow6rKyz5riDVAV9ms6hYSpKtsQeoealWvbjZFhYWo98V/v9O9iwb06qpuIXw4KwB0BDReuOIaGw29X1atgk8qVXTsK71/slrFlefc+mu2LShAV9mCFGoLVKg1SF2CA9XVFqgu1iDZrAGyBlgUFBgga6BFQQEBCgywNH0f2PRcYECAAixNR4AsFw8DBVgsTY91cVwWxxGixsZGvf/+e7o2MVHWoCBHnFcOIXnhUJvZKzY0NOjdd9/Vtddeq8DAQBmG56X1KNyDyT39CXuSt8WD2b9NPRoaGnT48GENHTrU5UdmmJWzUyKXL9Tx3605c3sW21DfoIOHDun6665TYBun8llkUXBQgKwX35ua/v3n983PBQVYdJUtSFeFBMkaGOBB5gCAjoDGC1fEBXuD9hyt0EvvnNRrH32pr2rsTjGRV9kUHxmquB6h6tMzVH16dFGvbjZFdA1Wz4tfocFXdpe12+3a+dW7mpzaT1Yrf1W+3Ox2u3ZWHtHkEX2prwnsdruuKn9Hk1P6UF8T2O12WU8e1OTrY6kvAOCSaLxgqk++PKtN+z7TtsITOlNb7xjvGhyoG+J76sb4nkqKDVdCTJh6dbN5MVMAAADAPDReMMX7pdV6Iu9D7Xq/3DEWHRaiyUNjNGlotK6P686pNAAAAOg0aLxwWX15plYrdr6v7QdPOK7XGTekt+5O66+bBka26851AAAAQEdH44XLwjAMbSs8oUdefE9V55uu37rtuzHKmnCNBva6ysvZAQAAAN5F44Vv7VxtvbK3HdYLh05Kkq6NDdOv/m2orovr7t3EAAAAAB9B44VvpaSyRrOeeVtHy88qKMCiBROu0X+MHsD1WwAAAMDX0Hih3d4vrdaPfveWvjxTq97dbFpz13Dd0L+nt9MCAAAAfA6NF9rl4LGvlJm7X2cu1GtIdDdtmnmjeoeFeDstAAAAwCfReMFjH31xRnf/7i2duVCvG/r30P/efYPCu/DhoQAAAEBraLzgkeOna5SZu19V5+0a1re7npl5o0KD2Y0AAACAtnAHBLjtfF2D/mPTAX1RXavBUd30+3tuoOkCAAAA3EDjBbcYhqHsbe/ovdJqRXQN1u/vvUHdQ4O9nRYAAADQIdB4wS1/fKtEfzl4UoEBFq2+c7hiu3fxdkoAAABAh0HjhUv6rOKc/r8X35ck/fzWwUodGOHljAAAAICOhcYLbWpoNLTwT4d03t6gkQN6avbNA7ydEgAAANDh0HihTRv3faYDn5/WVbYgPf6D6xQQYPF2SgAAAECHQ+OFVpVXX9CT+R9Jkh6anKA+PUK9nBEAAADQMbWr8Vq7dq3i4+MVEhKi5ORk7dmzp8343bt3Kzk5WSEhIRowYIDWr1/vFLN161YlJibKZrMpMTFR27dv93jdbdu2aeLEiYqMjJTFYtHBgwed5qitrdV9992nyMhIde3aVVOmTNHx48c9K0AnseKvH+hsbb2ui+uuGTfEeTsdAAAAoMPyuPHasmWL5s+fr8WLF6uoqEijRo3SpEmTVFJS4jK+uLhYkydP1qhRo1RUVKSHHnpI999/v7Zu3eqIKSgo0PTp05WZmalDhw4pMzNTGRkZ2r9/v0frnjt3TjfddJMeffTRVvOfP3++tm/frs2bN2vv3r06e/asbr/9djU0NHhaCr/2j89OaXvRCVks0n9PvZZTDAEAAIBvwePGa+XKlZo1a5Zmz56thIQE5eTkKC4uTuvWrXMZv379evXt21c5OTlKSEjQ7NmzNXPmTD3++OOOmJycHE2YMEHZ2dkaMmSIsrOzNW7cOOXk5Hi0bmZmpn7xi19o/PjxLnOpqqpSbm6unnjiCY0fP17Dhg3Ts88+q8OHD2vXrl2elsJvGYahR//6gSRpekqcvtunu3cTAgAAADq4IE+C6+rqdODAAS1atKjFeHp6uvbt2+dym4KCAqWnp7cYmzhxonJzc2W322W1WlVQUKAFCxY4xTQ3Xu1Z15UDBw7Ibre3yCc2NlZJSUnat2+fJk6c6LRNbW2tamtrHY+rq6slSXa7XXa73e21zdKcw+XM5bWPvtQ/Pj8tW1CAfjo23idep7eYUV/8E/U1F/U1F/U1F/U1F/U1F/U1ly/V15McPGq8Kioq1NDQoKioqBbjUVFRKisrc7lNWVmZy/j6+npVVFQoJiam1ZjmOduzbmu5BAcHq0ePHm7Ps2LFCi1fvtxpPC8vT6GhvnOzifz8/MsyT6MhPf5OoCSLbupdrwN7X7ks83Z0l6u+cI36mov6mov6mov6mov6mov6mssX6ltTU+N2rEeNVzOLpeX1PoZhOI1dKv6b4+7M6em67mprnuzsbGVlZTkeV1dXKy4uTunp6QoLC/vWa39bdrtd+fn5mjBhgqxW67ee769HynTizXd0lS1Ij959s3qEBl+GLDuuy11ftER9zUV9zUV9zUV9zUV9zUV9zeVL9W0+G84dHjVekZGRCgwMdDo6VF5e7nQ0qll0dLTL+KCgIEVERLQZ0zxne9ZtLZe6ujqdPn26xVGv8vJypaWludzGZrPJZrM5jVutVq//oL/ucuRjGIae3vOZJGnWzfHqHd71MmTmH3zt5+1vqK+5qK+5qK+5qK+5qK+5qK+5fKG+nqzv0c01goODlZyc7HRYLz8/v9XGJTU11Sk+Ly9PKSkpjkRbi2mesz3rupKcnCyr1dpintLSUh05csSjefzV3o8r9O7JanWxBuqetP7eTgcAAADwGx6fapiVlaXMzEylpKQoNTVVGzZsUElJiebOnSup6dS8EydOaNOmTZKkuXPnavXq1crKytKcOXNUUFCg3NxcPf/88445H3jgAY0ePVqPPfaYpk6dqh07dmjXrl3au3ev2+tK0qlTp1RSUqKTJ09Kkj788ENJTUe6oqOjFR4erlmzZmnhwoWKiIhQz5499eCDD2ro0KGt3gmxM3l696eSpOk3xKlH1859iiEAAABwOXnceE2fPl2VlZV65JFHVFpaqqSkJO3cuVP9+vWT1HQE6eufrRUfH6+dO3dqwYIFWrNmjWJjY/XUU0/pjjvucMSkpaVp8+bNevjhh7VkyRINHDhQW7Zs0YgRI9xeV5JeeOEF3XvvvY7HM2bMkCQtXbpUy5YtkyQ9+eSTCgoKUkZGhs6fP69x48Zp48aNCgwM9LQUfuXw8Srt/bhCgQEWzR4V7+10AAAAAL/SrptrzJs3T/PmzXP53MaNG53GxowZo8LCwjbnnDZtmqZNm9budSXpnnvu0T333NPmHCEhIVq1apVWrVrVZlxn87s3iiVJt383Rn16+M7dGgEAAAB/4PEHKMP/nDpXp5feKZUk3XsTR7sAAACAy43GC/rTP46prqFRQ78Truv6hHs7HQAAAMDv0Hh1co2Nhp7b33RN3g9H9r0sn4sGAAAAoCUar07u9aNfquRUjbqFBOlfrov1djoAAACAX6Lx6uT+ePFo17TkPgoNbte9VgAAAABcAo1XJ3bqXJ1e+aBckvTvN/b1cjYAAACA/6Lx6sT+79BJ1TcaGvqdcF0T1c3b6QAAAAB+i8arE9tWeFyS9P3h3/FyJgAAAIB/o/HqpD4uP6NDx6sUFGDhphoAAACAyWi8OqlthSckSWMH91LkVTYvZwMAAAD4NxqvTqix0dBfipoar+8P7+PlbAAAAAD/R+PVCRWWnNbJqgvqZgvSLUN6ezsdAAAAwO/ReHVCLx0ulSRNSIxSiDXQy9kAAAAA/o/Gq5NpbDT018NlkqTJQ2O8nA0AAADQOdB4dTJFx06rrPqCrrIFadQ1kd5OBwAAAOgUaLw6mZfeaTraNT6ht2xBnGYIAAAAXAk0Xp1IY6Ohvx5pur6L0wwBAACAK4fGqxM5ePwrlVY1nWY4+ppe3k4HAAAA6DRovDqRvx9pOs3wliG9uZshAAAAcAXReHUi+e9/IUlKvzbKy5kAAAAAnQuNVydRXHFOn355TkEBFk4zBAAAAK4wGq9O4uWLR7tGDOipsBCrl7MBAAAAOhcar05i18XGa9wQTjMEAAAArjQar06gqsautz87LUkan0DjBQAAAFxp7Wq81q5dq/j4eIWEhCg5OVl79uxpM3737t1KTk5WSEiIBgwYoPXr1zvFbN26VYmJibLZbEpMTNT27ds9XtcwDC1btkyxsbHq0qWLxo4dq3fffbdFzNixY2WxWFp8zZgxox1V6Dhe+6hcDY2GBvW+Sn0jQr2dDgAAANDpeNx4bdmyRfPnz9fixYtVVFSkUaNGadKkSSopKXEZX1xcrMmTJ2vUqFEqKirSQw89pPvvv19bt251xBQUFGj69OnKzMzUoUOHlJmZqYyMDO3fv9+jdX/9619r5cqVWr16td5++21FR0drwoQJOnPmTIuc5syZo9LSUsfX008/7WkZOpSX3y+XJI3jaBcAAADgFR43XitXrtSsWbM0e/ZsJSQkKCcnR3FxcVq3bp3L+PXr16tv377KyclRQkKCZs+erZkzZ+rxxx93xOTk5GjChAnKzs7WkCFDlJ2drXHjxiknJ8ftdQ3DUE5OjhYvXqzvf//7SkpK0jPPPKOamhr98Y9/bJFTaGiooqOjHV/h4eGelqHDsDc06rUPmxqv8Qm9vZwNAAAA0DkFeRJcV1enAwcOaNGiRS3G09PTtW/fPpfbFBQUKD09vcXYxIkTlZubK7vdLqvVqoKCAi1YsMApprnxcmfd4uJilZWVtVjLZrNpzJgx2rdvn3784x87xp977jk9++yzioqK0qRJk7R06VJ169bNZf61tbWqra11PK6urpYk2e122e12l9tcSc05tJbLW5+dUvWFevUItSop5iqfyLkjuVR98e1QX3NRX3NRX3NRX3NRX3NRX3P5Un09ycGjxquiokINDQ2Kimp5ylpUVJTKyspcblNWVuYyvr6+XhUVFYqJiWk1pnlOd9Zt/tdVzOeff+54fNdddyk+Pl7R0dE6cuSIsrOzdejQIeXn57vMf8WKFVq+fLnTeF5enkJDfed6qdbyf7EkQFKABoTW6u9/++uVTcqPtFZfXB7U11zU11zU11zU11zU11zU11y+UN+amhq3Yz1qvJpZLJYWjw3DcBq7VPw3x92Z83LEzJkzx/F9UlKSBg0apJSUFBUWFmr48OFOuWdnZysrK8vxuLq6WnFxcUpPT1dYWJjzi73C7Ha78vPzNWHCBFmtzp/P9dt1b0qq1vTR39XkYbFXPsEO7lL1xbdDfc1Ffc1Ffc1Ffc1Ffc1Ffc3lS/VtPhvOHR41XpGRkQoMDHQ6ulVeXu50pKlZdHS0y/igoCBFRES0GdM8pzvrRkdHS2o68hUTE+NWbpI0fPhwWa1WHT161GXjZbPZZLPZnMatVqvXf9Bf5yqfyrO1ere0aWcYOyTKp/LtaHzt5+1vqK+5qK+5qK+5qK+5qK+5qK+5fKG+nqzv0c01goODlZyc7HRYLz8/X2lpaS63SU1NdYrPy8tTSkqKI9HWYprndGfd5tMHvx5TV1en3bt3t5qbJL377ruy2+0tmjV/sffjChmGNCS6m3qHhXg7HQAAAKDT8vhUw6ysLGVmZiolJUWpqanasGGDSkpKNHfuXElNp+adOHFCmzZtkiTNnTtXq1evVlZWlubMmaOCggLl5ubq+eefd8z5wAMPaPTo0Xrsscc0depU7dixQ7t27dLevXvdXtdisWj+/Pn61a9+pUGDBmnQoEH61a9+pdDQUN15552SpE8++UTPPfecJk+erMjISL333ntauHChhg0bpptuuqn9VfRRr39UIUkac00vL2cCAAAAdG4eN17Tp09XZWWlHnnkEZWWliopKUk7d+5Uv379JEmlpaUtPlsrPj5eO3fu1IIFC7RmzRrFxsbqqaee0h133OGISUtL0+bNm/Xwww9ryZIlGjhwoLZs2aIRI0a4va4k/exnP9P58+c1b948nT59WiNGjFBeXp7jjoXBwcF6+eWX9Zvf/EZnz55VXFycbrvtNi1dulSBgYGeV8+HGYahPUe/lCSNpvECAAAAvKpdN9eYN2+e5s2b5/K5jRs3Oo2NGTNGhYWFbc45bdo0TZs2rd3rSk1HvZYtW6Zly5a5fD4uLk67d+9ucw1/8UHZGZWfqVWINUAp/Xt4Ox0AAACgU/P4A5TRMTQf7Ro5IEK2IP86mgcAAAB0NDRefqr5+q7RgzjNEAAAAPA2Gi8/dL6uQW99dkoS13cBAAAAvoDGyw/tL65UXX2jvtO9iwb26urtdAAAAIBOj8bLD73xcdNphqMGRcpisXg5GwAAAAA0Xn5o3yeVkqS0qyO9nAkAAAAAicbL73xVU6f3SqslSSMH9PRyNgAAAAAkGi+/8+anp2QY0qDeV6l3txBvpwMAAABANF5+p+CTpuu70gZGeDkTAAAAAM1ovPxM8/VdqTReAAAAgM+g8fIjX56p1dHys7JYpBHxNF4AAACAr6Dx8iMFnzYd7UqIDlOPrsFezgYAAABAMxovP1LQfBt5TjMEAAAAfAqNlx9x3FjjahovAAAAwJfQePmJ0qoL+qyyRoEBFt3Qn8/vAgAAAHwJjZefePPTU5Kkod8JV7cQq5ezAQAAAPB1NF5+oqC4qfHi+i4AAADA99B4+QHD+OcRLz6/CwAAAPA9NF5+oLK26Rova6BFKf24vgsAAADwNTRefuCjKoskaVjfHuoSHOjlbAAAAAB8E42XHzh6sfFKHcBphgAAAIAvovHq4AzD0NHqpsaLG2sAAAAAvonGq4P7+MtzOmO3yBYUoOv7dvd2OgAAAABcoPHq4PZfvI18cr/usgVxfRcAAADgi9rVeK1du1bx8fEKCQlRcnKy9uzZ02b87t27lZycrJCQEA0YMEDr1693itm6dasSExNls9mUmJio7du3e7yuYRhatmyZYmNj1aVLF40dO1bvvvtui5ja2lrdd999ioyMVNeuXTVlyhQdP368HVXwDQXNt5GP526GAAAAgK/yuPHasmWL5s+fr8WLF6uoqEijRo3SpEmTVFJS4jK+uLhYkydP1qhRo1RUVKSHHnpI999/v7Zu3eqIKSgo0PTp05WZmalDhw4pMzNTGRkZ2r9/v0fr/vrXv9bKlSu1evVqvf3224qOjtaECRN05swZR8z8+fO1fft2bd68WXv37tXZs2d1++23q6GhwdNSeF1jo6G3ik9LkkYMoPECAAAAfJXHjdfKlSs1a9YszZ49WwkJCcrJyVFcXJzWrVvnMn79+vXq27evcnJylJCQoNmzZ2vmzJl6/PHHHTE5OTmaMGGCsrOzNWTIEGVnZ2vcuHHKyclxe13DMJSTk6PFixfr+9//vpKSkvTMM8+opqZGf/zjHyVJVVVVys3N1RNPPKHx48dr2LBhevbZZ3X48GHt2rXL01J43ftl1frqvF22QENDY8O8nQ4AAACAVgR5ElxXV6cDBw5o0aJFLcbT09O1b98+l9sUFBQoPT29xdjEiROVm5sru90uq9WqgoICLViwwCmmufFyZ93i4mKVlZW1WMtms2nMmDHat2+ffvzjH+vAgQOy2+0tYmJjY5WUlKR9+/Zp4sSJTvnX1taqtrbW8bi6ulqSZLfbZbfbXb7mK2XvR+WSpIHdDBmNDV7Pxx8115TamoP6mov6mov6mov6mov6mov6msuX6utJDh41XhUVFWpoaFBUVFSL8aioKJWVlbncpqyszGV8fX29KioqFBMT02pM85zurNv8r6uYzz//3BETHBysHj16uJ3/ihUrtHz5cqfxvLw8hYaGutzmSjn2pUX9rwrQ4O6G8vPzvZqLv6O+5qK+5qK+5qK+5qK+5qK+5qK+5vKF+tbU1Lgd61Hj1cxisbR4bBiG09il4r857s6clyvmm9qKyc7OVlZWluNxdXW14uLilJ6errAw757eN1lNXXZ+fr4mTJggq9Xq1Xz8EfU1F/U1F/U1F/U1F/U1F/U1F/U1ly/Vt/lsOHd41HhFRkYqMDDQ6ehQeXm505GmZtHR0S7jg4KCFBER0WZM85zurBsdHS2p6ahWTExMqzF1dXU6ffp0i6Ne5eXlSktLc5m/zWaTzWZzGrdarV7/QX+dr+Xjb6ivuaivuaivuaivuaivuaivuaivuXyhvp6s79HNNYKDg5WcnOx0WC8/P7/VxiU1NdUpPi8vTykpKY5EW4tpntOddePj4xUdHd0ipq6uTrt373bEJCcny2q1togpLS3VkSNHWs0fAAAAAL4tj081zMrKUmZmplJSUpSamqoNGzaopKREc+fOldR0at6JEye0adMmSdLcuXO1evVqZWVlac6cOSooKFBubq6ef/55x5wPPPCARo8erccee0xTp07Vjh07tGvXLu3du9ftdS0Wi+bPn69f/epXGjRokAYNGqRf/epXCg0N1Z133ilJCg8P16xZs7Rw4UJFRESoZ8+eevDBBzV06FCNHz++/VUEAAAAgDZ43HhNnz5dlZWVeuSRR1RaWqqkpCTt3LlT/fr1k9R0BOnrn60VHx+vnTt3asGCBVqzZo1iY2P11FNP6Y477nDEpKWlafPmzXr44Ye1ZMkSDRw4UFu2bNGIESPcXleSfvazn+n8+fOaN2+eTp8+rREjRigvL0/dunVzxDz55JMKCgpSRkaGzp8/r3Hjxmnjxo0KDAz0tBQAAAAA4JZ23Vxj3rx5mjdvnsvnNm7c6DQ2ZswYFRYWtjnntGnTNG3atHavKzUd9Vq2bJmWLVvWakxISIhWrVqlVatWtbkWAAAAAFwuHn+AMgAAAADAMzReAAAAAGAyGi8AAAAAMBmNFwAAAACYjMYLAAAAAExG4wUAAAAAJmvX7eQ7M8MwJEnV1dVezqSJ3W5XTU2NqqurZbVavZ2O36G+5qK+5qK+5qK+5qK+5qK+5qK+5vKl+jb3BM09QltovDx05swZSVJcXJyXMwEAAADgC86cOaPw8PA2YyyGO+0ZHBobG3Xy5El169ZNFovF2+mourpacXFxOnbsmMLCwrydjt+hvuaivuaivuaivuaivuaivuaivubypfoahqEzZ84oNjZWAQFtX8XFES8PBQQEqE+fPt5Ow0lYWJjXdzx/Rn3NRX3NRX3NRX3NRX3NRX3NRX3N5Sv1vdSRrmbcXAMAAAAATEbjBQAAAAAmo/Hq4Gw2m5YuXSqbzebtVPwS9TUX9TUX9TUX9TUX9TUX9TUX9TVXR60vN9cAAAAAAJNxxAsAAAAATEbjBQAAAAAmo/ECAAAAAJPReAEAAACAyWi8fNzatWsVHx+vkJAQJScna8+ePW3G7969W8nJyQoJCdGAAQO0fv36K5Rpx7NixQrdcMMN6tatm3r37q1//dd/1YcfftjmNq+99posFovT1wcffHCFsu44li1b5lSn6OjoNrdh/3Vf//79Xe6LP/nJT1zGs++27fXXX9e//Mu/KDY2VhaLRX/5y19aPG8YhpYtW6bY2Fh16dJFY8eO1bvvvnvJebdu3arExETZbDYlJiZq+/btJr0C39ZWfe12u37+859r6NCh6tq1q2JjY/WjH/1IJ0+ebHPOjRs3utynL1y4YPKr8T2X2n/vuecepzqNHDnykvOy/za5VH1d7YcWi0X/8z//0+qc7L//5M7vY/7yHkzj5cO2bNmi+fPna/HixSoqKtKoUaM0adIklZSUuIwvLi7W5MmTNWrUKBUVFemhhx7S/fffr61bt17hzDuG3bt36yc/+YnefPNN5efnq76+Xunp6Tp37twlt/3www9VWlrq+Bo0aNAVyLjjufbaa1vU6fDhw63Gsv965u23325R2/z8fEnSD37wgza3Y9917dy5c7ruuuu0evVql8//+te/1sqVK7V69Wq9/fbbio6O1oQJE3TmzJlW5ywoKND06dOVmZmpQ4cOKTMzUxkZGdq/f79ZL8NntVXfmpoaFRYWasmSJSosLNS2bdv00UcfacqUKZecNywsrMX+XFpaqpCQEDNegk+71P4rSbfeemuLOu3cubPNOdl//+lS9f3mPvi73/1OFotFd9xxR5vzsv82cef3Mb95Dzbgs2688UZj7ty5LcaGDBliLFq0yGX8z372M2PIkCEtxn784x8bI0eONC1Hf1JeXm5IMnbv3t1qzKuvvmpIMk6fPn3lEuugli5dalx33XVux7P/fjsPPPCAMXDgQKOxsdHl8+y77pNkbN++3fG4sbHRiI6ONh599FHH2IULF4zw8HBj/fr1rc6TkZFh3HrrrS3GJk6caMyYMeOy59yRfLO+rrz11luGJOPzzz9vNeb3v/+9ER4efnmT8wOu6nv33XcbU6dO9Wge9l/X3Nl/p06datxyyy1txrD/tu6bv4/503swR7x8VF1dnQ4cOKD09PQW4+np6dq3b5/LbQoKCpziJ06cqH/84x+y2+2m5eovqqqqJEk9e/a8ZOywYcMUExOjcePG6dVXXzU7tQ7r6NGjio2NVXx8vGbMmKFPP/201Vj23/arq6vTs88+q5kzZ8pisbQZy77rueLiYpWVlbXYP202m8aMGdPq+7HU+j7d1jZoUlVVJYvFou7du7cZd/bsWfXr1099+vTR7bffrqKioiuTYAf02muvqXfv3rrmmms0Z84clZeXtxnP/ts+X3zxhV566SXNmjXrkrHsv6598/cxf3oPpvHyURUVFWpoaFBUVFSL8aioKJWVlbncpqyszGV8fX29KioqTMvVHxiGoaysLN18881KSkpqNS4mJkYbNmzQ1q1btW3bNg0ePFjjxo3T66+/fgWz7RhGjBihTZs26e9//7t++9vfqqysTGlpaaqsrHQZz/7bfn/5y1/01Vdf6Z577mk1hn23/Zrfcz15P27eztNtIF24cEGLFi3SnXfeqbCwsFbjhgwZoo0bN+qFF17Q888/r5CQEN100006evToFcy2Y5g0aZKee+45vfLKK3riiSf09ttv65ZbblFtbW2r27D/ts8zzzyjbt266fvf/36bcey/rrn6fcyf3oODvLYy3PLNv14bhtHmX7RdxbsaR0s//elP9c4772jv3r1txg0ePFiDBw92PE5NTdWxY8f0+OOPa/To0Wan2aFMmjTJ8f3QoUOVmpqqgQMH6plnnlFWVpbLbdh/2yc3N1eTJk1SbGxsqzHsu9+ep+/H7d2mM7Pb7ZoxY4YaGxu1du3aNmNHjhzZ4gYRN910k4YPH65Vq1bpqaeeMjvVDmX69OmO75OSkpSSkqJ+/frppZdearNBYP/13O9+9zvdddddl7xWi/3XtbZ+H/OH92COePmoyMhIBQYGOnXl5eXlTt17s+joaJfxQUFBioiIMC3Xju6+++7TCy+8oFdffVV9+vTxePuRI0d2+r9QuaNr164aOnRoq7Vi/22fzz//XLt27dLs2bM93pZ91z3Nd+P05P24eTtPt+nM7Ha7MjIyVFxcrPz8/DaPdrkSEBCgG264gX3aDTExMerXr1+btWL/9dyePXv04Ycftuv9mP239d/H/Ok9mMbLRwUHBys5Odlxp7Jm+fn5SktLc7lNamqqU3xeXp5SUlJktVpNy7WjMgxDP/3pT7Vt2za98sorio+Pb9c8RUVFiomJuczZ+Z/a2lq9//77rdaK/bd9fv/736t379667bbbPN6Wfdc98fHxio6ObrF/1tXVaffu3a2+H0ut79NtbdNZNTddR48e1a5du9r1xxbDMHTw4EH2aTdUVlbq2LFjbdaK/ddzubm5Sk5O1nXXXefxtp15/73U72N+9R7sjTt6wD2bN282rFarkZuba7z33nvG/Pnzja5duxqfffaZYRiGsWjRIiMzM9MR/+mnnxqhoaHGggULjPfee8/Izc01rFar8ec//9lbL8Gn/ed//qcRHh5uvPbaa0Zpaanjq6amxhHzzRo/+eSTxvbt242PPvrIOHLkiLFo0SJDkrF161ZvvASftnDhQuO1114zPv30U+PNN980br/9dqNbt27sv5dRQ0OD0bdvX+PnP/+503Psu545c+aMUVRUZBQVFRmSjJUrVxpFRUWOu+o9+uijRnh4uLFt2zbj8OHDxr//+78bMTExRnV1tWOOzMzMFnedfeONN4zAwEDj0UcfNd5//33j0UcfNYKCgow333zzir8+b2urvna73ZgyZYrRp08f4+DBgy3ej2trax1zfLO+y5YtM/72t78Zn3zyiVFUVGTce++9RlBQkLF//35vvESvaqu+Z86cMRYuXGjs27fPKC4uNl599VUjNTXV+M53vsP+66ZLvT8YhmFUVVUZoaGhxrp161zOwf7bOnd+H/OX92AaLx+3Zs0ao1+/fkZwcLAxfPjwFrc6v/vuu40xY8a0iH/ttdeMYcOGGcHBwUb//v1bfQNA0y1hXX39/ve/d8R8s8aPPfaYMXDgQCMkJMTo0aOHcfPNNxsvvfTSlU++A5g+fboRExNjWK1WIzY21vj+979vvPvuu47n2X+/vb///e+GJOPDDz90eo591zPNt9v/5tfdd99tGEbT7YyXLl1qREdHGzabzRg9erRx+PDhFnOMGTPGEd/sT3/6kzF48GDDarUaQ4YM6bSNblv1LS4ubvX9+NVXX3XM8c36zp8/3+jbt68RHBxs9OrVy0hPTzf27dt35V+cD2irvjU1NUZ6errRq1cvw2q1Gn379jXuvvtuo6SkpMUc7L+tu9T7g2EYxtNPP2106dLF+Oqrr1zOwf7bOnd+H/OX92CLYVy8eh0AAAAAYAqu8QIAAAAAk9F4AQAAAIDJaLwAAAAAwGQ0XgAAAABgMhovAAAAADAZjRcAAAAAmIzGCwAAAABMRuMFAAAAACaj8QIAAAAAk9F4AQDgobFjx2r+/PneTgMA0IHQeAEAAACAySyGYRjeTgIAgI7innvu0TPPPNNirLi4WP379/dOQgCADoHGCwAAD1RVVWnSpElKSkrSI488Iknq1auXAgMDvZwZAMCXBXk7AQAAOpLw8HAFBwcrNDRU0dHR3k4HANBBcI0XAAAAAJiMxgsAAAAATEbjBQCAh4KDg9XQ0ODtNAAAHQiNFwAAHurfv7/279+vzz77TBUVFWpsbPR2SgAAH0fjBQCAhx588EEFBgYqMTFRvXr1UklJibdTAgD4OG4nDwAAAAAm44gXAAAAAJiMxgsAAAAATEbjBQAAAAAmo/ECAAAAAJPReAEAAACAyWi8AAAAAMBkNF4AAAAAYDIaLwAAAAAwGY0XAAAAAJiMxgsAAAAATEbjBQAAAAAm+/8BvY4+xd5kuioAAAAASUVORK5CYII=",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#stepsperperiod = 1_000\n",
    "#n = Int(stepsperperiod * periods)\n",
    "#h = (b-a)/n\n",
    "\n",
    "stepsperunittime = 10_000\n",
    "h = 1/stepsperunittime\n",
    "n = Int(round((b-a)/h))\n",
    "\n",
    "(t, U) = eulermethod_system(f_pendulum, a, b, u_0, n)\n",
    "theta = U[:,1]\n",
    "omega = U[:,2]\n",
    "\n",
    "figure(figsize=[10,4])\n",
    "title(\"By Euler's method with E = $E_0, step size h = $(approx4(h))\")\n",
    "plot(t, theta/pi, label=\"theta\")\n",
    "xlabel(\"t\")\n",
    "ylabel(L\"\\theta/\\pi\")\n",
    "grid(true)\n",
    "\n",
    "# Phase plane diagram\n",
    "figure(figsize=[10,4])\n",
    "title(\"The orbit\")\n",
    "plot(theta/pi, omega)\n",
    "xlabel(L\"\\theta/\\pi\")\n",
    "ylabel(L\"\\omega = d\\theta/dt\")\n",
    "plot(theta[1]/pi, omega[1], \"g*\", label=\"start\")\n",
    "plot(theta[end]/pi, omega[end], \"r*\", label=\"end\")\n",
    "legend()\n",
    "grid(true)\n",
    "\n",
    "# Error in the (conserved) energy E\n",
    "figure(figsize=[10,4])\n",
    "E = (M*L/2) * omega.^2 - M*g*cos.(theta)\n",
    "E_error = E .- E_0\n",
    "title(\"Error in E(t)\")\n",
    "plot(t, E_error, label=\"theta\")\n",
    "xlabel(\"t\")\n",
    "#ylabel(L\"\\theta/\\pi\")\n",
    "grid(true)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "57d48e60-7f94-41a7-9d24-c3a6ed3d09c6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "#stepsperperiod = 10_000\n",
    "#n = Int(stepsperperiod * periods)\n",
    "#h = (b-a)/n\n",
    "\n",
    "stepsperunittime = 25\n",
    "stepsperunittime = 10_000\n",
    "h = 1/stepsperunittime\n",
    "n = Int(round((b-a)/h))\n",
    "\n",
    "(t, U) = rungekutta_system(f_pendulum, a, b, u_0, n)\n",
    "theta = U[:,1]\n",
    "omega = U[:,2]\n",
    "\n",
    "figure(figsize=[10,4])\n",
    "title(\"By the Runge-Kutta method with E = $E_0, step size h = $(approx4(h))\")\n",
    "plot(t, theta/pi, label=\"theta\")\n",
    "xlabel(\"t\")\n",
    "ylabel(L\"\\theta/\\pi\")\n",
    "grid(true)\n",
    "\n",
    "# Phase plane diagram\n",
    "figure(figsize=[10,4])\n",
    "title(\"The orbit\")\n",
    "plot(theta/pi, omega)\n",
    "xlabel(L\"\\theta/\\pi\")\n",
    "ylabel(L\"\\omega = d\\theta/dt\")\n",
    "plot(theta[1]/pi, omega[1], \"g*\", label=\"start\")\n",
    "plot(theta[end]/pi, omega[end], \"r*\", label=\"end\")\n",
    "legend()\n",
    "grid(true)\n",
    "\n",
    "# Error in the (conserved) energy E\n",
    "E = (M*L/2) * omega.^2 - M*g*cos.(theta)\n",
    "E_error = E .- E_0\n",
    "figure(figsize=[10,4])\n",
    "title(\"Error in E(t)\")\n",
    "plot(t, E_error, label=\"theta\")\n",
    "xlabel(\"t\")\n",
    "#ylabel(L\"\\theta/\\pi\")\n",
    "grid(true);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fuzzy-plenty",
   "metadata": {},
   "source": [
    "## Appendix: the Explicit Trapezoid and Midpoint Methods for systems\n",
    "\n",
    "Yet again, the previous functions for these methods need just three lines of code modified.\n",
    "\n",
    "The demos are just for the non-dissipative case, where the solution is known to be $y = \\cos t$, $dt/dt = -\\sin t$.\n",
    "\n",
    "For a fairer comparison of \"accuracy vs computational effort\" to the Runge-Kutta method,\n",
    "twice as many time steps are used so that the same number of function evaluations are used for these three methods."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "dimensional-assurance",
   "metadata": {},
   "outputs": [],
   "source": [
    "function explicittrapezoid_system(f, a, b, u_0, n)\n",
    "    # Use the Explict Trapezoid Method (a.k.a Improved Euler) to solve the system\n",
    "    #    du/dt = f(t, u) for t in [a, b], with initial value u(a) = u_0 \n",
    "    # The conversion for the system version is mainly \"u[i] -> u[i,:]\"\n",
    "\n",
    "    h = (b-a)/n\n",
    "    t = range(a, b, n+1)\n",
    "    n_unknowns = length(u_0)\n",
    "    u = zeros(n+1, n_unknowns)\n",
    "    u[1,:] = u_0\n",
    "    for i in 1:n\n",
    "        K_1 = f(t[i], u[i,:])*h\n",
    "        K_2 = f(t[i]+h, u[i,:]+K_1)*h\n",
    "        u[i+1,:] = u[i,:] + (K_1 + K_2)/2.0\n",
    "    end\n",
    "    return (t, u)\n",
    "end;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "c87037fc-1b75-4deb-adb3-346a6e2cb30a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Underdamped\n",
      "Underdamped\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "D = 0.5 # Underdamped: decaying oscillations\n",
    "#D = 2 # Critically damped\n",
    "#D = 2.1 # Overdamped: exponential decay\n",
    "\n",
    "periods = 4\n",
    "b = 2pi * periods\n",
    "\n",
    "stepsperperiod = 50\n",
    "n = Int(stepsperperiod * periods)\n",
    "\n",
    "damping(k, M, D)\n",
    "\n",
    "(t, U) = explicittrapezoid_system(f_mass_spring, a, b, u_0, n)\n",
    "Y = U[:,1]\n",
    "DY = U[:,2]\n",
    "y = y_mass_spring.(t; t_0=a, u_0=u_0, k=k, M=M, D=D)  # Exact solution\n",
    "\n",
    "damping(k, M, D)\n",
    "\n",
    "figure(figsize=[10,4])\n",
    "title(\"y for k/M=$(k/M), D=$D by explicit trapezoid with $periods periods, $stepsperperiod steps per period\")\n",
    "plot(t, Y, label=\"y computed\")\n",
    "plot(t, y, label=\"exact solution\")\n",
    "xlabel(\"t\")\n",
    "legend()\n",
    "grid(true)\n",
    "\n",
    "figure(figsize=[10,4])\n",
    "title(\"Error in Y\")\n",
    "plot(t, y-Y)\n",
    "xlabel(\"t\")\n",
    "grid(true)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "33c1109e-6236-4793-9173-05960bdd06ae",
   "metadata": {},
   "source": [
    "At first glance this is doing well, keeping the orbits cicular.\n",
    "However, note the discrepancy between the start and end points:\n",
    "these should be the same, as they are (visually) the the Runge-Kutta method."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "final-analyst",
   "metadata": {},
   "outputs": [],
   "source": [
    "function explicitmidpoint_system(f, a, b, u_0, n)\n",
    "    # Use the Explict Midpoint Method (a.k.a Modified Euler) to solve the system\n",
    "    #    du/dt = f(t, u) for t in [a, b], with initial value u(a) = u_0 \n",
    "    # The conversion for the system version is mainly \"u[i] -> u[i,:]\"\n",
    "\n",
    "    h = (b-a)/n\n",
    "    t = range(a, b, n+1)\n",
    "    n_unknowns = length(u_0)\n",
    "    u = zeros(n+1, n_unknowns)\n",
    "    u[1,:] = u_0\n",
    "    for i in 1:n\n",
    "        K_1 = f(t[i], u[i,:])*h\n",
    "        K_2 = f(t[i]+h/2, u[i,:]+K_1/2)*h\n",
    "        u[i+1,:] = u[i,:] + K_2\n",
    "    end\n",
    "    return (t, u)\n",
    "end;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "dc5f74d7-056c-4931-bd7e-01b056f517aa",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Underdamped\n",
      "Underdamped\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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GBIvM0r4Lhcgpq4PSVo77BvmY9F7Rvdzg6ahAea0av6cVmvReRERERNS1McEis/RVom706qFIP9jIZSa9l0wqwbTBumIX24/nmvReRERERNS1McEis5NZUoN9F4oAAI+MMO30wGb3NyVYv50vREWtulPuSURERERdDxMsMjubj2ZBEIC7+rojyM2+U+7Z38cRIV4OaNBo8fOp/E65JxERERF1PUywyKxotQJ2pOim6c0eHtCp957etCfW9pScTr0vEREREXUdTLDIrCRdKcXVShUcbKxwd4h7p9572mBfSCRA0pUyZJfWduq9iYiIiKhrYIJFZuV/J/MAABPDvKCwMm1xi+t5KW1wRy83AMD2FBa7ICIiIiLDMcEis9Go0WLnqQIAMHlp9hv5Y5pgLgRBECUGIiIiIrJcnZJgrV27FsHBwbCxsUFERAQOHDjQbvt9+/YhIiICNjY26NmzJ9atW9eqzbZt29C/f38oFAr0798f27dvb9UmNzcXjz76KFxdXWFnZ4fBgwcjOTnZaO+LjCvhUglKaxrgYm+N6F6uosQwMdwLNnIpMoprcC6/SpQYiIiIiMhymTzB2rp1KxYvXoxXXnkFKSkpGDVqFCZNmoSsrKw222dkZGDy5MkYNWoUUlJS8PLLL+PZZ5/Ftm3b9G0SExMxa9YsxMbG4sSJE4iNjcVDDz2EI0eO6NuUlZXhjjvugFwuxy+//IKzZ8/i/fffh5OTk6nfMt2i/53QTQ+cPMALVjJxBlftFVa4s7dumuCec1dFiYGIiIiILJeVqW+wcuVKzJ07F/PmzQMArFq1Cr/++is+/vhjrFixolX7devWISAgAKtWrQIAhIaG4tixY3jvvfcwY8YM/TXGjx+PZcuWAQCWLVuGffv2YdWqVfj2228BAO+88w78/f2xYcMG/bWDgoJuGKdKpYJKpdJ/XVlZCQBQq9VQq8XdF6n5/mLHYUqqRi12ndFND5wU5iHqex3T1w27zxUi/lwBFt4VJFoct6M79BkyHvYXMgT7CxmC/YUMYc79xZCYTJpgNTQ0IDk5GS+99FKL4zExMUhISGjznMTERMTExLQ4NmHCBKxfvx5qtRpyuRyJiYlYsmRJqzbNSRkA/Pe//8WECRPw4IMPYt++ffD19cWiRYswf/78Nu+7YsUKvP76662Ox8XFwc7OriNv1+Ti4+PFDsFkTpVKUFUvg1IuoPDMYew8K14s2gYAsMLJnEps2bETjtbixXK7unKfIeNjfyFDsL+QIdhfyBDm2F9qazteYdqkCVZxcTE0Gg08PT1bHPf09ERBQUGb5xQUFLTZvrGxEcXFxfD29r5hm2uvefnyZXz88cdYunQpXn75ZRw9ehTPPvssFAoFHnvssVb3XbZsGZYuXar/urKyEv7+/oiJiYGjo6PB792Y1Go14uPjMX78eMjlclFjMZX4/5wEUIAHhgVhyqR+YoeD/+Qfxum8Ssj8B2FyhK/Y4RisO/QZMh72FzIE+wsZgv2FDGHO/aV5dltHmHyKIABIJJIWXwuC0OrYzdpff/xm19RqtYiMjMTbb78NABgyZAjOnDmDjz/+uM0ES6FQQKFQtDoul8vN5gdsTrEYU21DI/acLwIATBviZxbvcVx/T5zOq8TeC8WYPTJI7HBuWVftM2Qa7C9kCPYXMgT7CxnCHPuLIfGYtJKAm5sbZDJZq9GqwsLCViNQzby8vNpsb2VlBVdX13bbXHtNb29v9O/fv0Wb0NDQGxbXIPHsv1CEOrUGfs62GOSnFDscAMC4UF1fOnCxGPVqjcjREBEREZGlMGmCZW1tjYiIiFbzKOPj4xEdHd3mOVFRUa3ax8XFITIyUp853qjNtde84447kJaW1qLNhQsXEBgYeMvvh0xj97lCAEBMf692RzY7U5iPI7wcbVCn1iDxconY4RARERGRhTB5LeylS5fi888/xxdffIFz585hyZIlyMrKwsKFCwHo1j5dO2Vv4cKFyMzMxNKlS3Hu3Dl88cUXWL9+PV544QV9m+eeew5xcXF45513cP78ebzzzjvYvXs3Fi9erG+zZMkSHD58GG+//TbS09OxefNmfPrpp3jqqadM/ZbJABqtgN/P6xKscaEeIkfzB4lEgnua4mG5diIiIiLqKJMnWLNmzcKqVavwxhtvYPDgwdi/fz927typH0nKz89vMW0vODgYO3fuxN69ezF48GC8+eab+PDDD/Ul2gEgOjoaW7ZswYYNGzBw4EBs3LgRW7duxYgRI/Rthg0bhu3bt+Pbb79FeHg43nzzTaxatQqPPPKIqd8yGSA1uxwlNQ1wsLHCsGAXscNpoTnh++1coX4dIBERERFRezqlyMWiRYuwaNGiNl/buHFjq2OjR4/G8ePH273mzJkzMXPmzHbbTJkyBVOmTOlwnNT5mkeHRvd1h1ykzYVvJLqXG2zkUuRV1ONsfiXCfMxjfRgRERERmS/z+o2Wup0955qnB7Zd9ERMNnIZ7uztBuCPOImIiIiI2sMEi0STXVqLtKtVkEklGNPPXexw2nR3iG6a4MGLxSJHQkRERESWgAkWiaZ5emBEoDOc7KxFjqZtd/TSjWClZJehtqFR5GiIiIiIyNwxwSLR7DHD6oHXC3S1g6+TLdQaAUlXysQOh4iIiIjMHBMsEkVVvRqHm/aXGmuG66+aSSQSRPfSbXCdkM5pgkRERETUvk6pIkh0vQMXi6HWCAh2s0cv9x5ih9Ou6N6u+C45BwmXuOEwGY+qUYP/HMvB8cwyXK2sx9XKepTXqjHY3wkTwrwwrr8nXOzNc+osERER3RgTLBLF7qb1V2NDzHd6YLPopnVYp/MqUF7bYLbrxcgyaLQCfkzNxftxF5BbXtfq9T3nC7HnfCGkPwB39/PAG/eHw9fJVoRIiYiI6FYwwaJOp9UK2H+hCABwjxmvv2rm6WiD3h49kF5YjcOXSzAx3FvskMhCncuvxJKtqThfUAUA8HBQ4NGRgQhwsYOHowK2chkOXCzGr2cKcCavEnvOFyJp1X6seGAg7h3IfkdERGQJmGBRpztXUIni6gbYWcsQGegidjgdEt3LFemF1Ui4xASLbs2pnAo8uv4IKurUcLCxwl/G9MIT0cGwtZa1aDckwBnPju2D9MJqPP/dCZzILsdTm49j3wU/LJ8aBjtrPraJiIjMGYtcUKc70LSnVFRPV1hbWUYXbJ4meIiFLugWpGSVYfbnh1FRp8aQACfs++vdWDSmd6vk6lq9PXrg+4VReOruXpBIgP8cy8GcL5JQr9Z0YuRERERkKMv47Za6lObpgaP6uIkcScdF9XSFRAJcKqrB1cp6scMhC3LsSili1x9FVX0jhgU54+u5IzpcvEIuk+KvE0Kwed5IOCiscPRKKZ75NgWNGq2JoyYiIqJbxQSLOlVtQyOONe0ndVdfd5Gj6TilnRzhPkoAQMIljmJRx2SX1uKJDUmoVjUiqqcrvnxyOHooDJ/iF9XLFZ8/HglrKyniz17Fy9tPQRAEE0RMREREt4sJFnWqI5dL0aDRwtfJFsFu9mKHY5Do3rr9sA6ls1w73VyjRovFW1NRpWrE0AAnfDFn2G2tnxrR0xVr/jQE0qbpgu/+mmbEaImIiMhYmGBRp9p/UTc98K6+bpBIJCJHY5g7mtZhJV4q4egB3dTHey8hObMMDgor/PvhIe2ut+qomDAvvD19gP76v5zKv+1rEhERkXExwaJO1Vzg4q4+ljM9sFlkkDPkMglyy+uQVVordjhkxlKzy7Fqz0UAwBv3h8Hfxc5o1354eAAWju4FAHh5+ykUVnFNIBERkTlhgkWdJq+8DumF1ZBK/qjKZ0nsrK0w0M8JAPTryIiuV6NqxOItKdBoBUwZ6I37B/sa/R5Lx/dFf29HlNWq8bfvT3JElYiIyIwwwaJOc6BpeuBgfyco7eQiR3NrIgOdAQDHMktFjoTM1cr4C7hSUgsfpQ3eun+ASabCWltJ8cGswbC2kuL3tCJ8ezTb6PcgIiKiW8MEizrN/qbpgaMscHpgs8gg3cbISRzBojZkl9biq8QrAIC3Hxhg0g8S+nk54MUJ/QAAb/50FleKa0x2LyIiIuo4JljUKTRaAQeb119ZUHn260U0jWClF1ajrKZB5GjI3Lwflwa1RsCdvd0wpp+Hye/35B3BiOrpijq1Bst+YOl2IiIic8AEizrFqdwKVNSp4WBjhUF+SrHDuWUu9tbo7dEDAJCcyVEs+sPp3ArsSM0DALw0KaRT7imVSvDuzIGwtpIi8XIJ4s5e7ZT7EhER0Y0xwaJO0bw5b1RPV1jJLLvbNa/DSuI6LLrGO7vOAwCmDvJBuG/nfYjg72KHP4/qCQB4e+c5qBo1nXZvIiIias2yf9Mli5F4Sbc5b3QvV5EjuX3N67BYSZCaHbxYjAMXiyGXSfBCTL9Ov/9fxvSCu4MCmSW1+DLhSqffn4iIiP7ABItMrqFRi6QrutGe6N6WV579esOCdCNYJ3PKUa/maEF3JwgC/rnrHADgkRGBCHA13p5XHWWvsNIXvFi9Jx3F1apOj4GIiIh0mGCRyaVml6NerYVbD2v0aVq/ZMkCXOzg7qCAWiPgZE6F2OGQyPZdKMLp3ErYW8vwzD29RYtjxlA/hPs6okrViJXxF0SLg4iIqLtjgkUm1zw9cGRPV5PsCdTZJBKJfhSL+2HR+oMZAICHhvnDtYdCtDikUgn+b0oYAGDL0SxcvFolWixERETdGRMsMjl9gYsusP6qWUQg12ERcOFqFQ5cLIZUAjwRHSx2OBge7IIJYZ7QCsDq39LFDoeIiKhb6pQEa+3atQgODoaNjQ0iIiJw4MCBdtvv27cPERERsLGxQc+ePbFu3bpWbbZt24b+/ftDoVCgf//+2L59+w2vt2LFCkgkEixevPh23woZqF6tQUpWOQAgupflr79qph/BulIKrZZ7D3VXXzSNXsX09xJl7VVbnh3bBwDwv5N5SC+sFjkaIiKi7sfkCdbWrVuxePFivPLKK0hJScGoUaMwadIkZGVltdk+IyMDkydPxqhRo5CSkoKXX34Zzz77LLZt26Zvk5iYiFmzZiE2NhYnTpxAbGwsHnroIRw5cqTV9ZKSkvDpp59i4MCBJnuPdGPJmWVo0Gjh5WiDIDP5BdQY+ns7ws5ahsr6RlzkL7HdUkm1Cj+k5AIA5o4Sf/SqWZiPEuNCPSEIwNrfOYpFRETU2UyeYK1cuRJz587FvHnzEBoailWrVsHf3x8ff/xxm+3XrVuHgIAArFq1CqGhoZg3bx6efPJJvPfee/o2q1atwvjx47Fs2TKEhIRg2bJlGDt2LFatWtXiWtXV1XjkkUfw2WefwdnZ2ZRvk27g2vLsXWH9VTMrmRRDApwAcB1Wd/XNkSw0NGox0E+p3xvNXDzXNIq1IzUXGcU1IkdDRETUvViZ8uINDQ1ITk7GSy+91OJ4TEwMEhIS2jwnMTERMTExLY5NmDAB69evh1qthlwuR2JiIpYsWdKqzfUJ1lNPPYV7770X48aNwz/+8Y92Y1WpVFCp/ihtXFlZCQBQq9VQq9XtnmtqzfcXO45bcSi9CAAwLMjJIuNvzxA/JQ6ll+Do5RI8NNRH7HBasOQ+YwlUjVp8lXgFAPD4yAA0NjaKG9B1QjztMKavG/ZeKMbqPRfwzgPh7bZnfyFDsL+QIdhfyBDm3F8MicmkCVZxcTE0Gg08PT1bHPf09ERBQUGb5xQUFLTZvrGxEcXFxfD29r5hm2uvuWXLFhw/fhxJSUkdinXFihV4/fXXWx2Pi4uDnZ15TG2Lj48XOwSD1GuAEzkyABLUZ57AzoITYodkVI1lEgAyJKTlYefObLHDaZOl9RlLcbRQguJqGZTWAiTZKdiZmyJ2SK0MsQb2wgo7UnIRhiy42dz8HPYXMgT7CxmC/YUMYY79pba2tsNtTZpgNbt+apggCO1OF2ur/fXH27tmdnY2nnvuOcTFxcHGpgO/VQBYtmwZli5dqv+6srIS/v7+iImJgaOjY4euYSpqtRrx8fEYP3485HK5qLEYYt+FImiPpsDP2RaPTh8ldjhGF12rxroVv6OoXoKoMePgbGctdkh6ltpnLMWXnx0FUI55d/XBfaN7ih3ODR2rT8aB9BKkSQPx2OSwG7ZjfyFDsL+QIdhfyBDm3F+aZ7d1hEkTLDc3N8hkslajVYWFha1GoJp5eXm12d7Kygqurq7ttmm+ZnJyMgoLCxEREaF/XaPRYP/+/VizZg1UKhVkMlmL8xUKBRSK1nvYyOVys/kBm1MsHZGUqduE945ebhYVd0e5K+UIdrNHRnENzhTU4O5+9mKH1Iql9RlLcLmoGsezyiGTSjBreKBZf3+fHdcXB9ITseNEPl6cFAq3m+zTxf5ChmB/IUOwv5AhzLG/GBKPSYtcWFtbIyIiotUwX3x8PKKjo9s8JyoqqlX7uLg4REZG6t/Yjdo0X3Ps2LE4deoUUlNT9X8iIyPxyCOPIDU1tVVyRaaR0FTgoivtf3W9If5OAIDUplL01PV9n5wDABjd1x0ejh0bIRdLZKAzBvk7oaFRi02HM8UOh4iIqFsweRXBpUuX4vPPP8cXX3yBc+fOYcmSJcjKysLChQsB6KbmPfbYY/r2CxcuRGZmJpYuXYpz587hiy++wPr16/HCCy/o2zRP/3vnnXdw/vx5vPPOO9i9e7d+nysHBweEh4e3+GNvbw9XV1eEh7e/2JuMo6JWjTN5uhGsrpxgDW6qJJiaXS5qHNQ5NFoBPxzXlWafGeEncjQ3J5FIMPdOXQn5TYczUa/WiBwRERFR12fyNVizZs1CSUkJ3njjDeTn5yM8PBw7d+5EYGAgACA/P7/FnljBwcHYuXMnlixZgo8++gg+Pj748MMPMWPGDH2b6OhobNmyBa+++ipee+019OrVC1u3bsWIESNM/Xaog45klEArAD3d7eFp5p/y347BTSNYJ3LKb7q2kCzfofRiFFTWQ2krx9hQD7HD6ZBJ4V7wVtogv6Ie/03Nw0PD/MUOiYiIqEvrlCIXixYtwqJFi9p8bePGja2OjR49GsePH2/3mjNnzsTMmTM7HMPevXs73JZuX+LlP/a/6spCvBxhbSVFea0aV0pqEexmfuuwyHiapwdOG+wDhZVlTDWWy6SYEx2EFb+cxxeHMvBgpB8/CCAiIjIhk08RpO6peYPhqJ5uIkdiWtZWUoT76KpMpmaXiRwNmVJFnRq/ntEV17GE6YHXenh4AOysZThfUIVD6SVih0NERNSlMcEioyupVuF8QRUAYGRPF5GjMb3B/s4AWOiiq/vpZB5UjVr083TAAF+l2OEYRGkrx4NNSeH6g5dFjoaIiKhrY4JFRnf4cikAIMTLAa43KQvdFbDQRffQPD1wZoRlTrF74o5gSCTA72lFuFRULXY4REREXRYTLDK6xMvFALp29cBrNZdqP5tfySptXVRGcQ1Smva+mjbER+xwbkmQmz3GhugKc3xzOOsmrYmIiOhWMcEio9Pvf9WzeyRYfs62cLW3hloj4Exex3f5Jsux81Q+AF3RFg8Hy62K+chIXfXW75OzUdfADwOIiIhMgQkWGdXVynpcLqqBVAKM6CYJlkQi0Zdr5zTBrqk5wbp3gLfIkdye0X3c4e9ii8r6RvzvZJ7Y4RAREXVJTLDIqJqrB4b5KKG0lYscTecZwnVYXVZmSQ3O5FVCJpUgJsxL7HBui1QqwezhulGsb45wmiAREZEpMMEio0q4pFt/1dX3v7qevpIgS7V3OT83jV5F9XSFi721yNHcvgcj/SCXSXAiuxyncyvEDoeIiKjLYYJFRtW8wfDIbpZgDfRXQiIBskvrUFytEjscMqJfTun2vpps4dMDm7n1UGBSuO69fHMkU+RoiIiIuh4mWGQ02aW1yC6tg5VUgmFBXX//q2s52sjR080eAHAqh6MCXUVWSS1O5VZAKgFiwjzFDsdoHhkRAADYkZKHynq1yNEQERF1LUywyGiaR68G+inRQ2ElcjSdb6CfEwDgJBOsLmPnad30wJE9XeHWhfZ0Gx7sgr6ePVCn1mD78VyxwyEiIupSmGCR0TQXuIju5SZyJOIY4KsEAJzKLRc3EDKaX5rWX3WV6YHNJBIJHhmhK3ax+UgWBEEQOSIiIqKugwkWGYUgCPoEq7tsMHy9gX66BIsjWF1DdmktTuTopgdOsPDqgW25f4gvFFZSpF2twqlc7t9GRERkLEywyCgyimtQUFkPa5kUEYHOYocjiv4+jpBKgMIqFa5W1osdDt2mXad1xS2GB7vA3aHrTA9sprSVY1K4LnH8jtMEiYiIjIYJFhlF8/qrIQFOsJHLRI5GHHbWVujj4QCAhS66gl/PdK3qgW15KNIfAPDTyQI0aEQOhoiIqItggkVGkdDN1181G9A8TZD7C1m00poGHM/S7Wk2NrTrVA+83siervB3sUW1qhEnSiVih0NERNQlMMGi2yYIAg538/VXzZrXYZ3KKRc3ELote9MKoRWAUG9H+DrZih2OyUilEjwUoRvFOlzIfw6IiIiMgf+i0m27cLUaJTUNsJFLMdjfSexwRPVHJcEKVmazYHvOFwIAxoZ4iByJ6c2I8INEAqRXSpBZUit2OERERBaPCRbdtsRLxQCAYUEusLbq3l0q1NsRVlIJiqsbkF/BQheWSK3RYn9aEQDgntCun2D5ONliVG/dyPM2FrsgIiK6bd37t2EyigROD9SzkcvQ11NX6ILl2i1TUkYpqlSNcLW3xuCmzaO7uplDfQEAP6TkoVGjFTkaIiIiy8YEi26LRivgSEYpACCqJxMs4Jp1WNxw2CI1Tw+8O8QDUmn3KPxwT4gH7K0EXK1S4cDFYrHDISIismhMsOi2nMuvREWdGj0UVvr1R93dAG44bLEEQcCec1cBdI/1V80UVlJEuOnWDG47niNyNERERJaNCRbdlsSm6YHDg11gJWN3AoCBvk4AWOjCEl0ursGVklrIZRKM6usudjidari7bmpg3NmrqKhTixwNERGR5eJvxHRbEpoKXERz/ZVeX68esJZJUV6rRk5ZndjhkAF+O6ebHjiypyt6KKxEjqZz+dkDfTzs0dCoxS+n8sUOh4iIyGIxwaJbptZocbRp/dVIrr/SU1jJEOLNQheWaHfT9MB7utH0wGYSCXD/YB8AwA+sJkhERHTLmGDRLTuRXY6aBg1c7K3R39tR7HDMSvN6tJMsdGExKmrVOJZZBgAYG+IpcjTimDrIGxIJcPRKKbK4JxYREdEt6ZQEa+3atQgODoaNjQ0iIiJw4MCBdtvv27cPERERsLGxQc+ePbFu3bpWbbZt24b+/ftDoVCgf//+2L59e4vXV6xYgWHDhsHBwQEeHh64//77kZaWZtT31d0dSv+jPHt3qbbWUfpKghzBshiHLhVDoxXQ26MHAlztxA5HFF6ONriztxsAYHsKR7GIiIhuhckTrK1bt2Lx4sV45ZVXkJKSglGjRmHSpEnIyspqs31GRgYmT56MUaNGISUlBS+//DKeffZZbNu2Td8mMTERs2bNQmxsLE6cOIHY2Fg89NBDOHLkiL7Nvn378NRTT+Hw4cOIj49HY2MjYmJiUFNTY+q33G0cStetv7qjl5vIkZifMB9dgnUmr5KFLizE/gu6zYXv6tO9iltc7wH9nlg57LtERES3wOQJ1sqVKzF37lzMmzcPoaGhWLVqFfz9/fHxxx+32X7dunUICAjAqlWrEBoainnz5uHJJ5/Ee++9p2+zatUqjB8/HsuWLUNISAiWLVuGsWPHYtWqVfo2u3btwpw5cxAWFoZBgwZhw4YNyMrKQnJysqnfcrdQo2rE8SzddKrmT7zpD309HSCXSVBRx0IXlkAQBP3+T6P6du/+PCHMC3bWMmSW1CK5acokERERdZxJy2Q1NDQgOTkZL730UovjMTExSEhIaPOcxMRExMTEtDg2YcIErF+/Hmq1GnK5HImJiViyZEmrNtcmWNerqNBN1XJxcWnzdZVKBZVKpf+6srISAKBWq6FWi1uyuPn+YsdxrcT0IjRqBfg52cDbUW5WsZkDCYA+Hj1wNr8KJ7NL4eUg79T7m2OfMWeXimqQW14HuUyCCD/Hbvd9u7a/yOVyTAjzxPaUPHx3LBuDfB1Ejo7MDZ8vZAj2FzKEOfcXQ2IyaYJVXFwMjUYDT8+WC8Y9PT1RUFDQ5jkFBQVttm9sbERxcTG8vb1v2OZG1xQEAUuXLsWdd96J8PDwNtusWLECr7/+eqvjcXFxsLMzj/UY8fHxYoegt/2KFIAU/ta12Llzp9jhmCWHRt336Mf9KWi8ohUlBnPqM+ZsX74EgAzBPTT4ffevYocjmub+4qPSfT/+m5KNYbIrkLMcErWBzxcyBPsLGcIc+0ttbceLP3XKRi8SScsCCIIgtDp2s/bXHzfkmk8//TROnjyJgwcP3vCey5Ytw9KlS/VfV1ZWwt/fHzExMXB0FLdCnlqtRnx8PMaPHw+5vHNHQm7k448SAVRh1pjBmDzAS+xwzFLpkSwc+ek8Guw9MHny0E69tzn2GXO2/evjAIoxbUQ/TB4VLHY4ne76/jJRK+CHlQeQX1EP66ChmBTOv+P0Bz5fyBDsL2QIc+4vzbPbOsKkCZabmxtkMlmrkaXCwsJWI1DNvLy82mxvZWUFV1fXdtu0dc1nnnkG//3vf7F//374+fndMFaFQgGFQtHquFwuN5sfsLnEUlytwvmCKgDAqL4eZhGTORro7wwAOJtfJdr3yFz6jDlTNWpwJEO31ujuEK9u/f26tr9MH+KLtXsv4ccTBZg6xF/kyMgcNfcXQRCQW16H07kVKK5uQGW9GhV1ajRqBDjbyeFir4CLvTV6e/RATzd7Vp3tpvjvERnCHPuLIfGYNMGytrZGREQE4uPjMX36dP3x+Ph4TJs2rc1zoqKi8L///a/Fsbi4OERGRurfWFRUFOLj41usw4qLi0N0dLT+a0EQ8Mwzz2D79u3Yu3cvgoO736fSppJ4SVeePdTbEa49WielpBPq7QiJBCisUqGwqh4eDjZih0RtSM4sQ51aA7ceCoR4cb1RsweG+mHt3kvYe6EIxdUquPHvOl2jRg18czQbB9NLkZpdjuJq1c1PAuBoY4XBAc6IDHTG5AFe6O3Bv3NE1PWYfIrg0qVLERsbi8jISERFReHTTz9FVlYWFi5cCEA3NS83NxdfffUVAGDhwoVYs2YNli5divnz5yMxMRHr16/Ht99+q7/mc889h7vuugvvvPMOpk2bhh9//BG7d+9uMQXwqaeewubNm/Hjjz/CwcFBP+KlVCpha2tr6rfdpf1Rnt1V5EjMm521FXq590B6YTXO5FXCox8TLHO0/0JT9cA+bvxk/Rq9PXpgkL8TTmSX47+peXjyTn5I1d1ptQJ+TyvEf5KysPucDBrhnP41K6kE/bwc4OtkC6WtHI62cljJJCiraUBpjRpF1SqkFVSisr4R+y8UYf+FIqyMv4BQb0fcN8gbDwzxg5eSz0gi6hpMnmDNmjULJSUleOONN5Cfn4/w8HDs3LkTgYGBAID8/PwWe2IFBwdj586dWLJkCT766CP4+Pjgww8/xIwZM/RtoqOjsWXLFrz66qt47bXX0KtXL2zduhUjRozQt2kuAz9mzJgW8WzYsAFz5swx3RvuBg5dakqw+nTvctYdEebjqEuwcitwdz8PscOhNhy42LT/VTcvz96WGUN9cSK7HD+k5DDB6sYEQZdY/evXCziX37wGQYJQLwdMHeyLYUHOCPdVwkYua/c6ao0WaQVVOJ5Vhr1puiTrXH4lzuVX4oP4C5g22BcL7uqJPp4c1SIiy9YpRS4WLVqERYsWtfnaxo0bWx0bPXo0jh8/3u41Z86ciZkzZ97wdW6QaRpZJbXILtWVsx4e1HbJe/pDuI8SP6bm4UxexxdGUucprlbpfzZ39u7eGwy3ZcpAH7z501mczq1EWkEV+nEKZbeTnFmGFTvP4VjTnmgOCis8GOELt+pLmP9glEFrEuQyKcJ9lQj3VeKxqCCU1TRg15kCbEvOwbHMMnyfnIPvk3MwLtQTf53Qj/2NiCwWi++SQQ6k6z7tH+LvDHtFp+TnFi3MR1eB8nRehciRUFsONm0u3N/bEe4OXGN0PRd7a/3I6w/Hc0SOhjpTvVqDt34+i5nrEnAsswwKKykWjO6JA3+7G8sm9YOv/e3fw9neGn8aHoDv/xKNHxZFY0KYJyQSYPe5q5j07/14ZfsplHRwbRcRkTlhgkUG2ZfG6VSGCPNRAgCyS+tQUWt+m+Z1d/ubpgeOYn++oQeG6qqvbk/JhUbLmQHdwcmcckxZfRCfHciAIAAzhvph/4t3Y9mkUDjZWZvknkMDnPFJbCR2Lx2NSeFe0ArAN0eyMOZfe7H+YAb7HhFZFCZY1GENjVp9gYsxXE/UIUo7OfxddEVVzuRzFMucCIKAhHRdRcw7ezPBupG7Q9zhZCdHYZVK//efuiZBELDxUAYeWJuA9MJquPVQ4PPHIvH+Q4Pg6dg5BSh6uffAx49GYMufRyLMxxFVqka8+dNZPLhOFxMRkSVggkUdlpxZhpoGDdx6WKO/t7ibL1uSMG/dKNaZXK7DMicZxTUoqKyHtUyKyECuJ7wRhZUM9w30AaAbxaKuSa3R4pUdp7H8f2fRqBUweYAX4pbchXH9296z0tRG9nTF/56+E29PH4AeCisczyrH5A8PYO3edDRqtKLERETUUUywqMP2XigEANzV153lrA0Q7qtLRs9wHZZZSWjaz21IgBNsrduvftbdTR/qCwDYdboANapGkaMhYyuracBj649i85EsSCTAskkh+Gj2ULjYm2Y6YEdJpRLMHhGAuCV3YUw/dzQ0avHurjTM/vwI8ivqRI2NiKg9TLCow5rXX43uy2prhmheh3WalQTNSvOG2XdweuBNDfF3QrCbPerUGuw6XSB2OGREBRX1mLEuAYmXS2BvLcNnsZFYMLoXJBLz+RDNx8kWG+YMw79mDoS9tQxHM0ox6d8HsPvsVbFDIyJqExMs6pCCinqcL6iCRAKM6sMEyxBhTSNYl4qqUdvAT//NgVYrIPGyLsGK5obZNyWRSDB9iG4Ui9MEu47c8jrM+jQRl4tq4KO0wbZF0aJNCbwZiUSCByP98fOzoxDu64jyWjXmfXUMb/zvLNScMkhEZoYJFnXI/gu60atBfk6iTxuxNB4ONnB3UEAQgHP5VWKHQwDSrlahtKYBdtYyDPRzEjsci9CcYB26VMzpWV1AdmktZn2SiMySWvi72OI/C6MQ4mX+a2uD3Oyx7S/RmNu08fUXhzLw6OdHUMxy7kRkRphgUYc0r7/i9MBbE+7DdVjmpHn91bAgF1hb8THYEf4udhgW5AxBAH5MzRM7HLoNzclVTlkdglztsPXPUfBzthM7rA5TWMnw2pT++CQ2AvbWMhzJKMV9qw/iRHa52KEREQFggkUd0KjR4sDF5vLsTLBuRbgvKwmak8RLuv7M6YGGad4T64fjORAE7ktkiUqqVYhdfwR5FfXo6W6PrQui4ONkK3ZYt2RCmBd+fPoO9HSzR35FPR78JBE7OIWViMwAEyy6qZTsclTVN8LZTs7pVLcorGkE6zRHsETXqNHiyOVSAEB0Lxa4MMTkAd6wtpLiwtVqnGHRFotTo2rEkxuTcKWkFr5Otvh2/shO29/KVHp7OGDH03dgXKgnGhq1WLw1FR/uucgPAIhIVEyw6KaaqweO6uMOGcuz35LmSoIXrlahoZELssV0Oq8SVapGONpYob+P+a85MSdKWznGh+qKILDYhWVRa7R4avNxnMipgLOdHF/NHW7xyVUzRxs5Po2NwJ/v6gkAWBl/AS98d5LPWiISDRMsuimuv7p9fs62UNrKodYIuHCVhS7ElNA0PTCqlys/MLgFzcUufkzN44avFkIQBLyy/RT2phXBRi7F+jnD0Mu9h9hhGZVUKsHLk0Pxj/vDIZNKsO14Dh774ggqatVih0ZE3RATLGpXbnkdTudWQiIBRnP91S2TSCT6aYIsdCGuhPTm8uycHngrRvdzh4u9NYqrVTiQXix2ONQB6w9m4D/HciCVAGv+NBRDA5zFDslkHh0ZiPWPR6KHwgqHL5di+seHkFVSK3ZYRNTNMMGidsWd0W0qOizQBW49FCJHY9n+SLC4dkUsqkYNkq40r79igYtbIZdJMXWQDwBg+3FOEzR3By8W4+2d5wAAr97b32z3uTKmMf088N3CKHgrbXC5qAbT1x5CcmaZ2GERUTfCBIva9WtTghUT1vX/UTa15kqCp3M5giWW1KxyqBq1cOuhQG+PrjVFqjM1TxOMO1uAqnpOwTJX2aW1ePrb49AKwIyhfnjijiCxQ+o0od6O2PHUHQj3dURJTQP+9Nlh7DyVL3ZYRNRNMMGiGyqtacDRDN2n/RPCvESOxvI1F7o4l18FjZYVrsRwuKl64MieLpBIuP7qVg30U6Knuz3q1Vr8crpA7HCoDbUNjZj/1TGU16oxyE+Jt6aHd7s+7+log/8siNJXGHxq83F8cTBD7LCIqBtggkU3tPvcVWgFoL+3I/xdLGcTSnMV7GYPW7kMdWoNMoqrxQ6nWzqSoVt/NaInpwfeDolEghlNe2JxmqD50RW1OI3zBVVw62GNdbERsJHLxA5LFHbWVvgkNgKxIwMhCMAbP53FP346Cy0/5CIiE2KCRTf0a9Mn0xy9Mg6ZVKIvC36aGw53uoZGLY5n6dZhjAx2ETkayzdtsG4d1uGMEuSW14kcDV3r++QcbE/JhVQCfDR7KLyVlrmRsLHIpBK8MS0Mf5sYAgD4/GAGntmSgnq1RuTIiKirshI7ADJP1apGfYWwCeFcf2UsYT6OSM4sw5m8CtzftI6FOsfJnHLUq7Vwtbfm+isj8HO2w4hgFxzJKMWOlFw8dXdvsUMiAOmFVfi/H88AAJaM68vR2iYSiQR/GdML3kob/PX7E/j5ZD6KqlT4LDYSSju52OGRyKrq1cgtr0NxVQNKalQoq2lAeZ0adWoNVGot6tUaaLQCJBJAKpFAKpXATi6DnbUMdgorONrI4WJvDdce1nC1t4aPk223HTUmHSZY1KZ9aUVoaNQi0NUO/TwdxA6nywj3aS50wRGsznb4cvP0QK6/MpYZQ/1wJKMU21NysWhML35fRVav1uDpzSmoU2twR29XLGLS28r9Q3zh4aDAgq+TcTSjFDPWJeDLJ4fD16l7j/J1B4IgILOkFucLqnDxahUuFFbjclE1csrqUFFn/GI9Xo428Hexhb+LHQJc7ODvbIdAVzv08XSA0pZJfVfHBIva1Fw9cEKYF39pMqIw3z/2whIEgd/bTnSkqWDLiGB+om8skwZ44bUfTyO9sBqncisw0M9J7JC6tTd/Oqtfd/XBrMHcSPsGonu74T8Lo/DEhiSkF1Zj+keHsOGJYfpCRNQ11DVocCyzFElXypCaXY4T2eXtJlJOdnJ4OdrA2c4aLvbWUNrJYSuXwVYug41cCqlUAkHQJWoaLVCrbkStSoOahkZU1qlRUtOA0poGFFWpUNugQUFlPQoq65F0pfUWAb5Otgj1dkR/bweEejsi1NsRAS52kPLvbJfBBItaUTVq8Pv5QgDABJZnN6o+Hg6QyySorG9ETlkdi4d0ErVGq98HZ0RPrr8yFgcbOWLCvPC/E3n44XguEywR7T57Fd8cyQIArHxoMDwcbESOyLyFejti+1PRmPNFEtKuVmHWJ4fx8aNDMaqPu9ih0S3SagWczqvAb+cLkXCpBClZZVBrWhYzsbaSoq9nD/T1cEAfTwf08eiBAFc7+DrZwl5hnF+JBUFAaU0DssvqkFVai+ymP1mltbhSXIO8inrkltcht7wOu89d1Z/XQ2GFAb5KDAlwwtAAZwwJcIIr9x+1WEywqJWESyWoUjXC3UGBIf7OYofTpVhbSdHPywGncytxOreCCVYnOZVbgdoGDZzt5OjrwSmvxjQzwg//O5GHHam5WDY5BAorrjvobCXVKrz0w0kAwPxRwbirL5OEjvBW2uI/C6Ow4OtjOHy5FE9sSMI7MwZiRoSf2KFRBzU0anEwvQhxZ67it/OFKKxStXjdW2mDkT1dMTTACYP8nRDi5QhrK9PWd5NIJHDtoYBrDwUG+zu1er2iVo1zBZU4l1+Js3mVOFdQiQtXq1GtakTi5RIkNk1nB4BAVzt9shUR6IwQL0eOTFsIJljUyo4UXdnliWFeHK42gTBvJU7nVuJMXiUmDfAWO5xuoXn91fBgF/ZpI7uztxu8HG1QUFmP384Vsk93MkEQ8PL2UyiubkA/Twc8H9NP7JAsitJWji+fHI6/fncS/z2Rh+e/O4GCynquKTRjjRotDqYX46eT+Yg7U4DK+kb9a/bWMozq4467+rojupcrAl3tzO7nqLSTY2RPV4y8pgBNo0aL9KJqpGSVIyWrDMezypFeWI3MklpkltRie9PvZQ42VogIdMawIBcMD3bBQD8lP9QyU0ywqIXKerV+/RU/xTONcF9HbD0GnM6rEDuUbuPIZa6/MhWZVIIHhvpi7d5L+C45hwlWJ9t2PBe/nrkKuUyClbMGsXLZLVBYybBq1mB4O9ngk32X8a9f05BbXoc3pobBSsbdbMzF+YJKbEvOwY7UPBRdM1Ll7qDApHAvjO/vieHBLhaZcFjJpAjxckSIlyP+NDwAgG6kKzWnHMczy3A8qwzHM8tQVd+IvWlF2JtWBEA3K2aQnxLDglwwLNgFEYHOcLRhAQ1z0ClPjrVr1yI4OBg2NjaIiIjAgQMH2m2/b98+REREwMbGBj179sS6detatdm2bRv69+8PhUKB/v37Y/v27bd9XwJ2nsxHvVqL3h49MMiPC35NoX/TQuozeawk2BkaNVocu9KUYHH9lUnMbPowZt+FIhRW1oscTfeRU1aL5f/VlWRfPK4vizTcBqlUgmWTQvH61DBIJMDmI1lY8HUyahsab34ymUy9WoPvk3Mw7aNDmLjqAD47kIGiKhVc7K0ROzIQW/88EoeXjcUb08Ixqo+7RSZXN6K0k2N0X3csGd8XX88dgRN/j8FPz9yJ/5vSH5PCveDWwxoNjVokXSnD2r2X8MSGJAx6PQ6T/n0Af//xNH46mcfnsYhMPoK1detWLF68GGvXrsUdd9yBTz75BJMmTcLZs2cREBDQqn1GRgYmT56M+fPnY9OmTTh06BAWLVoEd3d3zJgxAwCQmJiIWbNm4c0338T06dOxfft2PPTQQzh48CBGjBhxS/clne+TcwDofmEyt2H1riLU2wFSCVBUpUJhZT08HLkY3ZTO5FWipkEDpa0coV6OYofTJfV074GIQGckZ5Zhe0ouFozuJXZIXZ4gCPjbtpOoVjUiItAZC/k9N4rHo4Pg6WiD57akYM/5Qvzp08NYP2cY3FhsoFNll9Zi0+FM/OdYNspqdZX/5DIJ7gnxwIyhfhjTz8Pka6nMjZVMinBfJcJ9lXjyzmAIgoCM4hocu1KGo1dKkXSlFJkltTiXr1vf9WViJgAgwMWuaUqhbmphsJs9f7/rBCZPsFauXIm5c+di3rx5AIBVq1bh119/xccff4wVK1a0ar9u3ToEBARg1apVAIDQ0FAcO3YM7733nj7BWrVqFcaPH49ly5YBAJYtW4Z9+/Zh1apV+Pbbb2/pvuasql6NAwUSRFap4OtiuqHfjOIaHMssg1QCTOcmuCZjZ22Fnu49kF5YjTN5lUywTKx5/dWwIK6/MqWZEX5IzizD98k5+PNdPfkPuIltTcrGofQS2MileO/BQVz4bkQTw72wef4IzP3yGE7kVGDamkP47LFI9PfhBzSmpNUK2HexCF8nZuL3tEIITQUAfZ1sMXtEAGYN82eiew2JRIKe7j3Q070HHhrmDwAobCoLn3SlFEczSnGuoBJZTRUMtx3XfYDu1sMakYG6KYXDg1wQ6u3AqbAmYNIEq6GhAcnJyXjppZdaHI+JiUFCQkKb5yQmJiImJqbFsQkTJmD9+vVQq9WQy+VITEzEkiVLWrVpTspu5b4qlQoq1R9zeisrddO31Go11Grjb0BniEWbU3E4QwbfpCw8fU8fk93nuyRdid87e7vCxVYm+vvuyvp7OSC9sBonsstwZy/jV2ps/tnxZwgkXioGAAwLVPL7cQPG6C8TQt3wulyKi4XVOH6lBAM5xdhk8ivq8Y+fzwEAloztDT+ldaf27e7wfBno44D/zB+O+V+nILO0FjPXJeBfM8IR059blxjqZv1FpdZgx4l8rD94BRkltfrjd/Z2xaPD/TGmn7v+A4Su3OeMwdlWhphQN8SEugHQfUCfkl2BY1fKkJRZhpO5lSiubsCuMwXY1bTe3t5a1lQa3gnhPo4I83GEh4N4iaw5P18MicmkCVZxcTE0Gg08PVs+kDw9PVFQUNDmOQUFBW22b2xsRHFxMby9vW/Ypvmat3LfFStW4PXXX291PC4uDnZ24pbS7iWT4DBk2JRwGUF1F2GKDyq1ArD5uAyABMEoxM6dO41/E9KTVEgAyPBbygUE15432X3i4+NNdm1LoBWAI5d0/boh9yx27jwrdkhm7Xb7S5hSiuRiKVbuSMRDPbVGioquJQjAp+elqFZJEdhDgEe5eP26OzxfFvQENmqkuFABPPXtCUz212C8r2CSf4e7uuv7S10jcOiqBPvypahU676htjIBwz0E3OmphYftVagyruLXDDGi7VpCAIT4AI1eQFY1cKlKgsuVEmRUSVDToMHB9BIcTP+jPLyjXICfvQA/ezT9V4CzAp3a783x+VJbW3vzRk06pYrg9VNFBEFod/pIW+2vP96Raxpy32XLlmHp0qX6rysrK+Hv74+YmBg4Ooo7LWBUbT1+eHcfSlQSOPUbgTt7G78SWsKlEpQfToaDjRX++qexULASlUm5XC7FjxuOoVRrh8mT7zL69dVqNeLj4zF+/HjI5d23otD5girUHU6EvbUM82aM4zSIGzBWf3G6VILHNybjZIU11o0fzYp2JvBjah7OHj4NuUyCj5+IRh+PHp0eQ3d7vkzXaPH2rgv4+nAWdmbLoLJ3x7sPhMPRtuu/d2O4vr9crazHxsQsfHs8GzUqDQDAy1GBJ+8IwoMRvuhhpA1/6eY0WgEXC6txLLMMqdkVOJNXicvFNahUS3C2XIKz5X+0tZFLEexqj17u9ujpbo9ebrr/D3K1M+rvjOb8fGme3dYRJu3Fbm5ukMlkrUaNCgsLW40uNfPy8mqzvZWVFVxdXdtt03zNW7mvQqGAQtF6SFQul4v+A3awAyLdBRwokOC747m4O9TL6PfYcUL3vZo6yAc97LgmyNQG+uuq2eWU16NWrasWZArm0H/FlJKjexgODXSGrQ3n7t/M7faXUX094edsi5yyOsSfL8YDQ7nVgzEVV6vwj1/SAOiqBvb3FXcj+O7yfJHLgTfvH4BwXyVe+/EM9pwvwoxPjuDjRyMQ6s11WR2VXd6ALxLSsT0lFw0a3Qh3H48eWDC6F6YO8ul2RSvMgRzAAH8XDPD/o8JubUMjzuVX4UxeBU7nVuB0biUuFlahXq3FuYIqnCuoanUdtx4K+DrZwFtpCx8nW/g0/b+X0gbOdnI42VnD0cbKoA85zfH5Ykg8Jk2wrK2tERERgfj4eEyfPl1/PD4+HtOmTWvznKioKPzvf/9rcSwuLg6RkZH6NxYVFYX4+PgW67Di4uIQHR19y/c1d9EeWhwokCLuzFUUVangbsT5sUVVKuw8lQ+Ae191FqWdHP4utsgurcOZvApE93YTO6Qu6WiGrjz7sCCWZ+8MUqkEsyL98X78BWxJymaCZWRv/XwO5bVqhHo74s939RQ7nG5n1rAAhHo74i+bjuNKSS2mrz2EN6eFs+ruTaRml2N9mhSnDh/SF66IbKp8eU+IB4sPmRk7a91mxhGBf3yA06jRIqu0FpeKapBeWI1LRbo/6YXVqKpvRHG1CsXVKpzIaX9/TweFFZR2ciht5XC0kUMhl0Iuk8JaJoVcJoFcJoVMCuRmS5H00zlAIoEg6Kb7vzEtDHILmoVi8nHYpUuXIjY2FpGRkYiKisKnn36KrKwsLFy4EIBual5ubi6++uorAMDChQuxZs0aLF26FPPnz0diYiLWr1+vrw4IAM899xzuuusuvPPOO5g2bRp+/PFH7N69GwcPHuzwfS2Njz0w2F+J1OwKfJ+cg7+MMV5J3s8PXoaqUYshAU4Y4u9ktOtS+8K8lU0JViUTLBMQBAFJV5hgdbaZkX74YPcFHM0oxaWiavRy7/wpbF3RofRibE/JhUQCrHhggEX9otGVDPRzwk/P3InntqZi/4Ui/PX7k9h/sRhvTQ/nBq/XEAQB+y4UYd2+Szh8uRTN266OC/XEwtE9EclnskWxkkn1FQvHX1PoRRAElNY0IL+iHnnldcgrr9P9f9PXBRX1qKxTo0ql20+uStWIKlUjcsrqbnJHKQ4UZLc48vf7+sOSZp2bPMGaNWsWSkpK8MYbbyA/Px/h4eHYuXMnAgMDAQD5+fnIysrStw8ODsbOnTuxZMkSfPTRR/Dx8cGHH36oL9EOANHR0diyZQteffVVvPbaa+jVqxe2bt2q3wOrI/e1RLMi/ZCaXYEtSVlYcFdPo3zqU1GrxqamvRKevrs3P4XrROG+jth1pgCn89r/xIduTXZpHa5WqiCXSTAkwEnscLoNb6Ut7u7ngT3nC7E1KRsvTw4VOySLV6/W4NUdpwEAsSMDMZgfhInK2d4aG+YMw7p9l7Ay/gL+dyIPKVll+PfDgxER2L0Th0aNFj+fyse6fZdxLl83RVsuk2CIiwbLH75T9GmtZFwSiQSuPRRw7aFAuO+NK8c2arSorG9EeW0DyuvUqKhTo7JOjYZGLdQaAWqNFmqNFg0aLepVjTh/4SL69OkNK5kMUokEUgkgtbDfTztlJeGiRYuwaNGiNl/buHFjq2OjR4/G8ePH273mzJkzMXPmzFu+ryWaHO6Jt3emIbOkFocvlxhl1GNjwhXUNGgQ4uWAe0I8jBAldVSYj+5hdCav44smqeOONo1eDfBVsthCJ3t4eAD2nC/EtuQcvBDTj2srbtPavZeQUVwDDwcFXpjQT+xwCIBMKsFTd/dGVC9XPLclBdmldXhwXSLmj+qJJeP7drtnTr1ag++Sc/Dp/kvILtWNTthZyzB7eAAeG+mPlEO/iVKQhcyDlUwKF3truNhb37StWq3Gzvo0TB7b2+zWYBmC/+pZEDtrK0wb4gMA2Hw06yatb65G1YgNCbr6p09x9KrThfnqFkdfKqpGbUOjyNF0PUnN66+Cu/cnymK4u587PBwUKKlpwO5zV8UOx6KlF1bj473pAIC/3xfGaWhmZmiAM3Y+OwoPDPGFVgA+2X8Zkz88gOTMUrFD6xQVdWp89Hs67nznN7y24zSyS+vgYm+NpeP7IuGle/DqlP7wVrJwFnU/TLAszJ+GBwAAdp0uwOWi6tu61uYjWSivVSPYzR6TB3gbIzwygIeDDdwdFBAE4Fx+66o8dHua118N51z/Tmclk+LBSF2Bi2+N8GFQdyUIAl7ZfgpqjYC7+7lj8gDjV5Cl2+dgI8fKWYPx2WOR8HBQ4HJRDWauS8SrO06hrKZB7PBM4mplPVbsPIc7/vkb/vVrGoqrG+DrZIvXp4bh0N/uwbNj+8DJ7uajFURdFRMsCxPmo8Td/dzRqBXw1s/nbvk69WoNPj1wGQDwl9G99LukU+cK99GNYp3lOiyjKqpS4XJxDSQSILKbr4kQy6xI3YdBB9OLkV3a8c0Z6Q/fJ+fgSEYpbORSvDEtnLMMzNz4/p6IXzoaD0b4QRCATYezcPf7e/H14UxotILY4d02QRBw5HIJntp8HHf88zd8sv8yqlWN6OfpgA9mDcLev47B49FBsLXuXtMjidrCBMsCvTqlP6ykEuw5X4i9aYW3dI2NCVdQVKWCj9IG9w/xNXKE1FHN67BO53IdljEdaxq96ufpYLI9xqh9Aa52uKO3KwQB2JLEUSxDldY04O2dug/RFo/rC38XO5Ejoo5Q2srxrwcHYcufRyLEywHltWq8tuM07v3wAOLOFEAQLC/RqlE1YtPhTEz69wHM+vQwfj6Zj0atgOFBLvhiTiR2LR6F6UP8WNmS6BrcLtsC9XLvgTnRQfj8YAbe/Oks7ujtZtCD7WxeJVbGXQCg+4ebC9DFE960DutMPkewjOkoy7ObhUdGBOJQegm2HM3Gs2P7QGHFT7Y76u2d51BWq0aIlwPm3hksdjhkoJE9XfHTM3di89EsvB93AecLqvDnr5Mx0E+JJeP7Ykxfd7MfkUwvrMKmw1nYlpyjL7NtK5fh/iE+eHRkoP4DQiJqjQmWhXp2XB9sT8nFpaIafJWY2eF/gOvVGizemoIGjRbjQj316yRIHM3/QKUVVKGhUctk10j0+1+xwIWoxvf3hKejAlcrVdh1ugDTBnO0vCMSL5Xg++QcAMBb07nnlaWykknxWFQQ7hvog88OXMbGhCs4mVOBJzYkob+3I+bcEYSpg3zMquJgaU0D/nciDz+k5OJEdrn+eLCbPR4dGYiZEX5Q2nJWANHN8KltoRxt5PhrU7neVbsvoKRa1aHz3t2VhgtXq+HWQ4F3Zgww+0/Qujo/Z1s42lhBrRFwsZCFLoyhql6Ns02l71ngQlxymRSzh+v2Hvyqab89ap+qUYNXdpwCAMweEYCIQO4bZOmc7a3x4sQQ7H/xbvz5rp6wkUtxNr8SL35/EtH//A3//OU80grEe/4XVamw+UgWHv/iKIa/tRt//+8ZnMguh0wqwbhQT3z15HDsWToac+8MZnJF1EEcwbJgD0b64+vDmTiTV4l5Xx3DhjnD2q3as/9CEb44pCvL/q+ZA+HaQ9FZodINSCQShPkokXi5BGdyKznlwgiOZ5VDKwD+LrbwYnlg0f1puD9W/3YRyZllOJNXwT5+E5/su4zLRTVw66HA3yaEiB0OGZFbDwVenhyKv4zuha3HsvF1YiZyy+uwbt8lrNt3CX09e+C+gT4Y198T/TwdIDVR8Sm1RovU7HIcvFiMg+nFOJ5VhmuXhg3wVeKBob64b5AP3Ph7AtEtYYJlwWRSCd6dORCPfH4EKVnleHBdIr6aOxzeStsW7QRBwH9P5OG1HacBALEjA3E3NxU2G+G+jroEK68CgL/Y4Vg8/f5XHL0yCx6ONpgY7oWfTubj68RM/HPGQLFDMlsZxTVY87tuz6vXpoSyQEsX5WxvjYWje2HencHYfa4Q247nYF9aES5crcb78RfwfvwFuNpbY2QvV4wMdkGotyP6ejnc0h5ojRotcsrqcCavEidzy3EyuwInc8pR06Bp0W6QnxITwr0wIcwLvdy5ITDR7WKCZeHCfJT4bkEUHvviKC4WVmPG2gR8+lgkQrwcYCWTorSmAa/uOIWdpwoAAEMCnPDy5FCRo6Zr6SsJ5rGSoDEc5f5XZuexqCD8dDIfO1JzsWxyKKcZtUEQBLy64xQaGrUY1ccNUwf5iB0SmZiVTIqJ4V6YGO6Fijo14s4UYOepfBy+XIqSmgb8fDIfP5/M17f3dbKFr7Mt3B0UcO+hgJOdHFZSCaRSCaQSCWobNKisU6OiTo3iahWySmuRU1bXZol4F3trRPdyxZ293XBXX3f4ONm2akNEt44JVhfQx9MB3/8lGrHrj+ByUQ2mrD4IqUQ3HaFerUFlfSOspBI8c08fLLq7FxdMm5nmSoLn8iuh0Qrck+w2qBo1SG1amM0CF+ZjWJAzQrwccL6gCt8n57AqXht2pObiUHoJFFZS/ON+7nnV3Sht5Xgw0h8PRvqjoVGLEznlOJRejJSscqQVVKGgsh655XXILa8z+NoKKyn6ePbAQD8nDPJTYqCfk0mnIBIRE6wuw9fJFt8vjMZzW1KQcKkEGq2Awipd4Ys+Hj2w8qHBGODHtQ/mKNitB2zlMtQ2aJBRXIPeHpyecatO5VSgoVELtx7W6OlmL3Y41EQikeDRkYF4dcdpbDqciSeig/jL3TXKaxvwj590e149O7YPAl3Zd7szaysphgW5tJjmXFGrxoXCKhRU1KOoSoXiahXKatUQBAEarQCNIMBWLoOTnRxKWzmc7awR4GKHQFd7eDgo+PeNqJMxwepCXOyt8fXcEdBoBZTWNOBqZT1qGzQY5K/k/jNmTCaVINTbAcezynEmr4IJ1m1onh4YGejCEQAzM32IL97ZdR4ZxTX47XwhxvX3FDsks/HPX86jpKYBfTx6YP6onmKHQ2ZIaSfnulIiC8K5Yl2QTCqBu4MC4b5KDA92YXJlAZrXYZ3hOqzboi9wwemBZsdeYYXZIwIAAJ8euCxyNObj8OUSbEnKBqDb84p74RERWT4+yYnMQPM6LF0lQboVGq2AY5llAFjgwlw9ER0MK6kERzNKcTKnXOxwRKdq1ODl7bo9r/40PADD+cEAEVGXwASLyAzoKwnmVkIQWld8optLK6hCVX0j7K1lCPV2EDscaoOX0kZfHe+zAxkiRyO+tb9f0u959dJE7nlFRNRVMMEiMgN9PHvASipBRZ36lqpEEZDUtP5qaKAzrFgp02zNa1pjtPNUPnLKakWORjzphVVYu1e359Xyqf255xURURfC30KIzIDCSoa+nrpRl9O5XId1K7j/lWXo7+OIO3q7QqMVsOHQFbHDEYVWK2DZD6eg1gi4J8QD9w7wFjskIiIyIiZYRGYizEe3Duss12EZTBAEFriwIM2jWFuTslFZrxY5ms639Vg2kq6UwVYuwxvTwljxkoioi2GCRWQmwn1ZSfBWZZXWorBKBblMgsH+TmKHQzcxpq87+nj0QLWqEd8czhI7nE5VWFmPt3fq9rx6PqYv/JztRI6IiIiMjQkWkZloHsE6zREsgx1tGr0a6OcEGzm3JTB3EokEC0f3AgB8fuAyahsaRY6o87z+01lU1TdigK8Sc6KDxA6HiIhMgAkWkZkI9XaERAJcrVShqEoldjgWpbnABTfitBzTBvsg0NUOJTUN2HQ4U+xwOsVv56/i55P5kEqAFQ8MYDEWIqIuik93IjNhr7BCsJs9AO6HZaikK037XwU7ixwJdZSVTIqn7u4NAPh0/2XUNWhEjsi0alSNeG3HGQDA3DuD9VOCiYio62GCRWRGwn24DstQhVX1yCiugUQCRARyBMuSTB/iC38XWxRXN+CbI117FOv9uAvILa+Dr5MtlozvK3Y4RERkQkywiMxI8zosjmB1XFKGbvSqn6cDlLbcS8iSyGVSPDVGN4r1yf7LqFd3zVGsoxml2JCg21j5H9PDYWdtJXJERERkSkywiMxI87ShU7lMsDqqef3VCJZnt0gPDPWDr5MtiqpU2Hyk61UUrG1oxIvfn4AgAA9G+OHufh5ih0RERCZm0gSrrKwMsbGxUCqVUCqViI2NRXl5ebvnCIKA5cuXw8fHB7a2thgzZgzOnDnToo1KpcIzzzwDNzc32NvbY+rUqcjJydG/fuXKFcydOxfBwcGwtbVFr1698Pe//x0NDQ2meJtERtM8RTC7tA7lteyvHXGU+19ZNGurP9ZifbzvUperKPjurjRcKamFt9IGr07pL3Y4RETUCUyaYM2ePRupqanYtWsXdu3ahdTUVMTGxrZ7zrvvvouVK1dizZo1SEpKgpeXF8aPH4+qqip9m8WLF2P79u3YsmULDh48iOrqakyZMgUajW56yfnz56HVavHJJ5/gzJkz+OCDD7Bu3Tq8/PLLpny7RLdNaSdHoKtuXxyOYt1cRZ0a5wp069WGs4KgxZoZ4Qd/F90o1mf7M8QOx2gOXy7BxoQrAIB/zhjIKaxERN2EyRKsc+fOYdeuXfj8888RFRWFqKgofPbZZ/jpp5+QlpbW5jmCIGDVqlV45ZVX8MADDyA8PBxffvklamtrsXnzZgBARUUF1q9fj/fffx/jxo3DkCFDsGnTJpw6dQq7d+8GAEycOBEbNmxATEwMevbsialTp+KFF17ADz/8YKq3S2Q0AzhNsMOOZ5ZBEIAgVzt4ONqIHQ7dImsrKV6cEAIA+GT/JRRW1osc0e2rUTXixe9PAgAeHuaP0X3dRY6IiIg6i8lW2iYmJkKpVGLEiBH6YyNHjoRSqURCQgL69evX6pyMjAwUFBQgJiZGf0yhUGD06NFISEjAggULkJycDLVa3aKNj48PwsPDkZCQgAkTJrQZT0VFBVxcbvwJt0qlgkr1x95DlZW6T8XVajXUanXH37gJNN9f7Dioc4R5O+Cnk/k4kVV2yz/z7tJnDl8qBgBEBDp1+fdqSubQXyaEumGwvxKp2RX416/n8fb9YaLFYgx///EMskp1UwNfjOnTpfqnOfQXshzsL2QIc+4vhsRksgSroKAAHh6tF/N6eHigoKDghucAgKenZ4vjnp6eyMzM1LextraGs7NzqzY3uu6lS5ewevVqvP/++zeMd8WKFXj99ddbHY+Li4Odnd0Nz+tM8fHxYodAnaCmQgJAhqRLV7Fz587bulZX7zNxp2UAJLCuyMbOnV2vQEJnE7u/jFECqdlW+D45B8HqTPjaixrOLUstkeD7CzJIIGCmbzUO/BYndkgmIXZ/IcvC/kKGMMf+Ultb2+G2BidYy5cvbzMRuVZSUhIAQCKRtHpNEIQ2j1/r+tc7cs6N2uTl5WHixIl48MEHMW/evBuev2zZMixdulT/dWVlJfz9/RETEwNHR8d2721qarUa8fHxGD9+PORyzuHv6qrq1Vhz9neUqiQYOXocXOytDb5Gd+gz9WoNXjj6GwABc6eORqCLeXwQYonMqb+kCSfwy5mrSKj1xIYHI0SN5VbkV9TjtTUJABqx8K6eeHZ8H7FDMjpz6i9k/thfyBDm3F+aZ7d1hMEJ1tNPP42HH3643TZBQUE4efIkrl692uq1oqKiViNUzby8vADoRqm8vb31xwsLC/XneHl5oaGhAWVlZS1GsQoLCxEdHd3ienl5ebj77rsRFRWFTz/9tN2YFQoFFApFq+NyudxsfsDmFAuZjotcjp5u9rhcXIPzhbUY3ffWP8bvyn0mObsSao0ADwcFenk43vRDGLo5c+gvyyb3x57zRTiYXoKDl8ssqqy5RivghW2nUVnfiEH+Tlg6IQRyWdfdDcUc+gtZDvYXMoQ59hdD4jH4ye/m5oaQkJB2/9jY2CAqKgoVFRU4evSo/twjR46goqKiVSLULDg4GF5eXi2GBRsaGrBv3z79OREREZDL5S3a5Ofn4/Tp0y2um5ubizFjxmDo0KHYsGEDpNKu+48cdT36/bByysUNxIxdW56dyVXXEeBqhzl3BAEAXttx2qLKtn+8Nx1HM0phby3Dv2cN7tLJFRER3ZjJnv6hoaGYOHEi5s+fj8OHD+Pw4cOYP38+pkyZ0qLARUhICLZv3w5ANzVw8eLFePvtt7F9+3acPn0ac+bMgZ2dHWbPng0AUCqVmDt3Lp5//nns2bMHKSkpePTRRzFgwACMGzcOgG7kasyYMfD398d7772HoqIiFBQU3HCNFpG5GejHSoI3ww2Gu67nxvaBr5Mtcsrq8N6vF8QOp0MOXizGynhdrMunhiHIzUIXkBER0W0zWZELAPjmm2/w7LPP6iv+TZ06FWvWrGnRJi0tDRUVf/wS+eKLL6Kurg6LFi1CWVkZRowYgbi4ODg4OOjbfPDBB7CyssJDDz2Euro6jB07Fhs3boRMJgOgK0yRnp6O9PR0+Pn5tbifIAimertERvPHCBYTrLY0arRIziwDAAzj/lddjr3CCm9ND8ecDUnYkJCBKYO8MTTA+eYniiSnrBbPfHscWgF4KNIPMyP8bn4SERF1WSZNsFxcXLBp06Z221yf8EgkEixfvhzLly+/4Tk2NjZYvXo1Vq9e3ebrc+bMwZw5cwwNl8hshPk4QiIB8irqUVytgluP1usDu7MzeZWobdDA0cYK/Twdbn4CWZwx/TzwwFBf/HA8Fy9tO4mfnhkFayvzm3JXr9bgL5uOo6xWjYF+SrwxLZxTVomIujnz+9eKiOBgoyt0AXCaYFuapwcOC3KBVMpfZruq1+7tD1d7a1y4Wo21e9PFDqcVQRDwfz+exqncCjjbybH2kaGwkcvEDouIiETGBIvITA3gNMEburbABXVdzvbWeH2absPhNb+lIzmzVOSIWlp/MAP/OZYDqQRY/aeh8HPmVgFERMQEi8hsDfBzAgCcZILVglYrtBjBoq7t3gHemDLQG41aAU99k4LiapXYIQEA/nsiD//4+RwAYNmkUNzZx03kiIiIyFwwwSIyU39UEiwXNxAzc6moGmW1atjIpfpRPuq6JBIJ/jljIHq526Ogsh7PbE5Bo0YrakwJl4rxwn9OAADmRAdh3qhgUeMhIiLzwgSLyEz199YVurhaqUJhZb3Y4ZiNo02jV0P8nc2y6AEZXw+FFT6JjYC9tQyJl0vwXpx4pdvPF1RiwVfJaNBoMXmAF16b0p9FLYiIqAX+dkJkpuwVVujt3gMApwlei+uvuqfeHg54Z+ZAAMC6fZfw08m8To/hbF4lHvnsCKpUjRge5IKVDw2GjEVWiIjoOkywiMzYwKZ1WCdyykWNw5wkZXCD4e5qykAfzL1TNx1v8ZZUxJ+92mn3Tskqw8OfJqKkpgFhPo747LFIVgwkIqI2McEiMmODA5wAAKnZ5aLGYS5yymqRV1EPK6kEQ5q+N9S9vDw5FFMH+aBRK2DRN8n4/Xyhye+ZeKkEj35+BJX1jYgIdMbm+SOhtJOb/L5ERGSZmGARmbHBzSNY2eXQaoX2G3cDzdMDw3yVsLM26T7pZKZkUglWPjQI9w7whlojYMGmZOy/UGSy+21LzsGcDUdR06BBdC9XfPXkcChtmVwREdGNMcEiMmMh3g6wtpKisr4RV0pqxA5HdM3l2Tk9sHuzkkmx6uHBmBDmiYZGLeZ9eQxfJlyBIBjvQ4i6Bg1e/P4Env/uBFSNWowL9cAXc4bBXsHEnoiI2scEi8iMyWVShPs4AuA6LOCaAhfc/6rbk8ukWP2noZg8wAsNGi3+/t8zWPTNcVTWq2/72umFVZi+9hD+cywHEgmwdHxffBLLNVdERNQxTLCIzNxgf2cAQGpWubiBiKy4WoVLRbpRvMhAZ5GjIXNgbSXFR7OH4rUp/SGXSfDL6QJM+fAg9qYV3tJoVmFlPV7ZfgoTVh3A+YIquPVQ4Ju5I/Ds2D6sFkhERB3GuQ5EZm6Qv24z3dRuXqr9WNP0wH6eDnC2txY5GjIXEokEc+8MRmSgM57afBxZpbWYsyEJ4b6OWDSmNyaEebWbHAmCgEtFNfjheA42HLqCOrUGADAu1ANvTx8AD0ebznorRETURTDBIjJzQ5pGsM7lVULVqIHCqntOUzqaUQYAGBbM0StqbZC/E35+ZhQ+/O0iNh/JwuncSiz65ji8lTYYGuCMAX5KhPsoIZNKUK1qRLVKjbN5ldh9rhAZxX+sbxwS4ISXJoZgRE9XEd8NERFZMiZYRGbO38UWLvbWKK1pwLn8Kgz2dxI7JFEcvVICgOuv6MaUdnK8NqU/nrq7NzYmXMHGQxnIr6jHz6fy8fOp/BueJ5dJMLKnKx4dGYiY/p6QSDgdkIiIbh0TLCIzJ5FIMMhPid/TipCaVdYtE6yKOt1oAwCMCObIArXPxd4aS8f3xcLRPZGSVY6TORU4mVOO8wVVkEkl6KGwgoONFbwcbXBPiAdG9XVHD1YHJCIiI+G/KEQWYJC/E35PK8KJbroOKymjFFoBCHazh5eSa2KoY+ysrXBHbzfc0dtN7FCIiKgbYRVBIgvQPGqVml0uahxiOXxZNz1wJNfFEBERkZljgkVkAQb5OQEAMoprUF7bIG4wIjic0Zxgcf0VERERmTcmWEQWwNneGkGudgDQ7aYJVtSpcaZp/RVHsIiIiMjcMcEishCDmqYJnuhm0wSTMkohCEBPN3t4ck8iIiIiMnNMsIgsRHddh5XYvP6qF0eviIiIyPwxwSKyEM0JVkpWGQRBEDeYTsQCF0RERGRJmGARWYgwHyUUVlKU1apxubhG7HA6RUWtGmfzm9ZfBbPABREREZk/JlhEFsLaSqqvJph8pUzcYDrJ0StN66/c7eHB9VdERERkAZhgEVmQoYHOAIDkzO6RYCVe0k0PjOL0QCIiIrIQJk2wysrKEBsbC6VSCaVSidjYWJSXl7d7jiAIWL58OXx8fGBra4sxY8bgzJkzLdqoVCo888wzcHNzg729PaZOnYqcnJw2r6dSqTB48GBIJBKkpqYa6Z0RiSOyKcE6llkqciSdg+uviIiIyNKYNMGaPXs2UlNTsWvXLuzatQupqamIjY1t95x3330XK1euxJo1a5CUlAQvLy+MHz8eVVVV+jaLFy/G9u3bsWXLFhw8eBDV1dWYMmUKNBpNq+u9+OKL8PHxMfp7IxJD8wjWpaIalNV07Q2Hy2sbcK5At/5qBDcYJiIiIgthsgTr3Llz2LVrFz7//HNERUUhKioKn332GX766SekpaW1eY4gCFi1ahVeeeUVPPDAAwgPD8eXX36J2tpabN68GQBQUVGB9evX4/3338e4ceMwZMgQbNq0CadOncLu3btbXO+XX35BXFwc3nvvPVO9TaJO5WJvjZ7u9gCA41lde5rgkab9r3q528PDgeuviIiIyDJYmerCiYmJUCqVGDFihP7YyJEjoVQqkZCQgH79+rU6JyMjAwUFBYiJidEfUygUGD16NBISErBgwQIkJydDrVa3aOPj44Pw8HAkJCRgwoQJAICrV69i/vz52LFjB+zs7G4ar0qlgkql0n9dWan75FytVkOtVhv+DTCi5vuLHQeZh6H+TrhcVIOkjBLc1bvtkZ2u0GcOXigEAIwIdrbo92EJukJ/oc7D/kKGYH8hQ5hzfzEkJpMlWAUFBfDw8Gh13MPDAwUFBTc8BwA8PT1bHPf09ERmZqa+jbW1NZydnVu1aT5fEATMmTMHCxcuRGRkJK5cuXLTeFesWIHXX3+91fG4uLgOJWidIT4+XuwQyAzIKyQAZIhPuYxQ9cV221pyn4k7KQMggU15JnbuvCJ2ON2CJfcX6nzsL2QI9hcyhDn2l9ra2g63NTjBWr58eZuJyLWSkpIAABKJpNVrgiC0efxa17/ekXOubbN69WpUVlZi2bJl7Z5zrWXLlmHp0qX6rysrK+Hv74+YmBg4Ojp2+DqmoFarER8fj/Hjx0Mul4saC4mvX1ENvv3wEHLqZBgXMx7WVq1n+lp6n8mvqMfVxP2QSoBFM8dBaWt578GSWHp/oc7F/kKGYH8hQ5hzf2me3dYRBidYTz/9NB5++OF22wQFBeHkyZO4evVqq9eKiopajVA18/LyAqAbpfL29tYfLyws1J/j5eWFhoYGlJWVtRjFKiwsRHR0NADgt99+w+HDh6FQKFpcPzIyEo888gi+/PLLVvdWKBSt2gOAXC43mx+wOcVC4unnrYSTnRzltWpcLK7DYH+nG7a11D5zNFP37Bjg5wQ3R/MYQe4OLLW/kDjYX8gQ7C9kCHPsL4bEY3CRCzc3N4SEhLT7x8bGBlFRUaioqMDRo0f15x45cgQVFRX6ROh6wcHB8PLyajEs2NDQgH379unPiYiIgFwub9EmPz8fp0+f1rf58MMPceLECaSmpiI1NRU7d+4EAGzduhVvvfWWoW+ZyKxIJBJEBDSVa7/SNcu1H0ovBgDc2Zvl2YmIiMiymGwNVmhoKCZOnIj58+fjk08+AQD8+c9/xpQpU1oUuAgJCcGKFSswffp0SCQSLF68GG+//Tb69OmDPn364O2334adnR1mz54NAFAqlZg7dy6ef/55uLq6wsXFBS+88AIGDBiAcePGAQACAgJaxNKjRw8AQK9eveDn52eqt0zUaSKCnLHnfGGXrCQoCAIONiVYd/R2EzkaIiIiIsOYLMECgG+++QbPPvusvuLf1KlTsWbNmhZt0tLSUFFRof/6xRdfRF1dHRYtWoSysjKMGDECcXFxcHBw0Lf54IMPYGVlhYceegh1dXUYO3YsNm7cCJlMZsq3Q2Q2IgN11QOPXSnr0BpFS3KxsBpFVSrYyKUYGuB88xOIiIiIzIhJEywXFxds2rSp3TaCILT4WiKRYPny5Vi+fPkNz7GxscHq1auxevXqDsURFBTU6j5ElmygnxJymQSFVSrklNXB36XrrFM6eFE3ejUsyAU2cn5oQkRERJbFZBsNE5Hp2MhlCPNRAgCSutg6rD/WX3F6IBEREVkeJlhEFmpET900wcOXS0SOxHjUGi2OZOgSRq6/IiIiIkvEBIvIQo3sqauwl9iFEqyTOeWoVjXC2U6O/t7i7j9HREREdCuYYBFZqGFBLpBJJcgurUNOWcd3FzdnBy/qksXo3m6QSrtO4Q4iIiLqPphgEVmoHgorDPDVrcM6fLlrrMPi+isiIiKydEywiCxYVK+maYKXLH+aYGW9GslN+3oxwSIiIiJLxQSLyIJFNa3D6gqFLg5eLIZGK6Cnu32XKjtPRERE3QsTLCILFhHoDCupBLnldcgutex1WHvTCgEAd/fzEDkSIiIiolvHBIvIgtkrrDDI3wmAZU8TFAQBe9OKAABj+rmLHA0RERHRrWOCRWThRjbth2XJ5drP5leisEoFW7kMw4NdxA6HiIiI6JYxwSKycFE9dQUhDl8ugSAIIkdza5pHr+7o7QqFlUzkaIiIiIhuHRMsIgsXEegMuUyC/Ip6ZJZY5jqs5vVXo7n+ioiIiCwcEywiC2drLcPg5nVYFjhNsKJWjeNZ5QCAMX25/oqIiIgsGxMsoi7Aksu1H0gvgkYroLdHD5ZnJyIiIovHBIuoCxjZtOHwofQSaLWWtQ5LXz2Qo1dERETUBTDBIuoCIgKdYWctQ3G1CmfzK8UOp8O02j/Ks98dwvVXREREZPmYYBF1AQorGaKbRrH2XSgSOZqOO5tfieJqFeysZYgMchY7HCIiIqLbxgSLqItorsD3+/lCkSPpuN3nrgIAonu5sTw7ERERdQlMsIi6iOY1TMezylBRpxY5mo7ZdboAADAhzFPkSIiIiIiMgwkWURfh72KH3h49oBV0xS7MXWZJDc4XVEEmlWBcKBMsIiIi6hqYYBF1Ic2jWPsuFoscyc39ekY3ejUi2AXO9tYiR0NERERkHEywiLqQ5kp8+y8Ww9yrtf96Rrf+amK4l8iREBERERkPEyyiLiQyqLlcewNya8SO5sYKK+uRnFkGAIjpzwSLiIiIug4mWERdiK5cuxsA4Fy5RORobuzXs7rRq8H+TvBS2ogcDREREZHxMMEi6mLG9NOtwzpbbr5/veOa1l9xeiARERF1Neb7GxgR3ZLmBOtKFVBea37l2strG5B4SVflcEIYEywiIiLqWkyaYJWVlSE2NhZKpRJKpRKxsbEoLy9v9xxBELB8+XL4+PjA1tYWY8aMwZkzZ1q0UalUeOaZZ+Dm5gZ7e3tMnToVOTk5ra71888/Y8SIEbC1tYWbmxseeOABY749IrPk52yH3u72ECDBgXTzqya451whGrUC+nk6INjNXuxwiIiIiIzKpAnW7NmzkZqail27dmHXrl1ITU1FbGxsu+e8++67WLlyJdasWYOkpCR4eXlh/PjxqKqq0rdZvHgxtm/fji1btuDgwYOorq7GlClToNFo9G22bduG2NhYPPHEEzhx4gQOHTqE2bNnm+y9EpmTsU3VBJsr9ZmT5vLsEzg9kIiIiLogK1Nd+Ny5c9i1axcOHz6MESNGAAA+++wzREVFIS0tDf369Wt1jiAIWLVqFV555RX9aNOXX34JT09PbN68GQsWLEBFRQXWr1+Pr7/+GuPGjQMAbNq0Cf7+/ti9ezcmTJiAxsZGPPfcc/jXv/6FuXPn6q/f1j2JuqJJ4Z745EAG9l4oRo2qEfYKk/1VN0hlvRr7LhQBACaEcXNhIiIi6npM9ltXYmIilEqlPrkCgJEjR0KpVCIhIaHNZCcjIwMFBQWIiYnRH1MoFBg9ejQSEhKwYMECJCcnQ61Wt2jj4+OD8PBwJCQkYMKECTh+/Dhyc3MhlUoxZMgQFBQUYPDgwXjvvfcQFhbWZrwqlQoqlUr/dWVlJQBArVZDrRZ3HUvz/cWOgyxHHzcbuNkIKK7XIu50HqYM9BY7JADAT6k5UDVq0dvdHn3cbNmnzQSfMWQI9hcyBPsLGcKc+4shMZkswSooKICHh0er4x4eHigoKLjhOQDg6dnyk21PT09kZmbq21hbW8PZ2blVm+bzL1++DABYvnw5Vq5ciaCgILz//vsYPXo0Lly4ABcXl1b3XrFiBV5//fVWx+Pi4mBnZ3ezt9sp4uPjxQ6BLMgQVynicyXYsOcEpDkpYocDAFh/WgZAglDbSvzyyy9ih0PX4TOGDMH+QoZgfyFDmGN/qa2t7XBbgxOs5cuXt5mIXCspKQkAIJG03odHEIQ2j1/r+tc7cs61bbRaLQDglVdewYwZMwAAGzZsgJ+fH7777jssWLCg1fnLli3D0qVL9V9XVlbC398fMTExcHR0bPfepqZWqxEfH4/x48dDLpeLGgtZBrVajdwd8YjPleJ8pRXuGjsGPUSeJphdVotLiQchkQB/fehueHP/K7PBZwwZgv2FDMH+QoYw5/7SPLutIwz+jevpp5/Gww8/3G6boKAgnDx5Elevtl5gX1RU1GqEqpmXl27Re0FBAby9/5jSVFhYqD/Hy8sLDQ0NKCsrazGKVVhYiOjoaADQn9u/f3/96wqFAj179kRWVlab91YoFFAoFK2Oy+Vys/kBm1MsZP587IBgVztklNRif3oppg32FTWen04VAgDu6OWGADcHUWOhtvEZQ4ZgfyFDsL+QIcyxvxgSj8FVBN3c3BASEtLuHxsbG0RFRaGiogJHjx7Vn3vkyBFUVFToE6HrBQcHw8vLq8WwYENDA/bt26c/JyIiAnK5vEWb/Px8nD59ukUbhUKBtLQ0fRu1Wo0rV64gMDDQ0LdMZJEkEmBSU6W+n07mixqLIAjYnpILAHhgqLiJHhEREZEpmaxMe2hoKCZOnIj58+fj8OHDOHz4MObPn48pU6a0KHAREhKC7du3A9BNDVy8eDHefvttbN++HadPn8acOXNgZ2enL7GuVCoxd+5cPP/889izZw9SUlLw6KOPYsCAAfqqgo6Ojli4cCH+/ve/Iy4uDmlpafjLX/4CAHjwwQdN9ZaJzM7kcN3I7760IlTVi7dgNCW7HBnFNbCVy7i5MBEREXVpJl2U8c033+DZZ5/VV/ybOnUq1qxZ06JNWloaKioq9F+/+OKLqKurw6JFi1BWVoYRI0YgLi4ODg5/TCn64IMPYGVlhYceegh1dXUYO3YsNm7cCJlMpm/zr3/9C1ZWVoiNjUVdXR1GjBiB3377rVVxDKKurK9nD/Ryt8elohrsPncV04f4iRLHD8d1G4FPCvcym5LxRERERKZg0t90XFxcsGnTpnbbCILQ4muJRILly5dj+fLlNzzHxsYGq1evxurVq2/YRi6X47333sN7771nUMxEXYlEIsG9A33w4Z6L+OlEvigJlqpRg/+d0E1RfGCoOAkeERERUWcx2RRBIjIPzXtg7btQhMKq+k6//2/nClFRp4aXow2ierl2+v2JiIiIOhMTLKIurq+nA4YGOKFRK2Dr0exOv//GhCsAdMUtZNL2t1sgIiIisnRMsIi6gdgoXfXMb49moVGj7bT7ns6twJGMUlhJJfoYiIiIiLoyJlhE3cCkcG+42Fsjr6Iev50v7LT7fnEwAwAweYA3vJW2nXZfIiIiIrEwwSLqBmzkMjwYqSsw8fXhzE65Z2FlPf53Mg8AMPfO4E65JxEREZHYmGARdROPDA+ERAIcuFiMjOIak9/vq8RMqDUCIgOdMcjfyeT3IyIiIjIHTLCIuokAVzuM6esOANh8xLSjWPVqDb5pugdHr4iIiKg7YYJF1I00F5r4z7Ec1Ks1JrvPD8dzUVarhp+zLWLCvEx2HyIiIiJzwwSLqBsZ3dcDfs62qKhT44fjuSa5h0YrYP3BywCAOdFBLM1ORERE3QoTLKJuRCaV4Ik7dFP2/r3nAuoajD+KtTUpG5eKaqC0leOhYf5Gvz4RERGROWOCRdTNPDoyAH7OtrhaqcIXhzKMeu3KejXej0sDACwe1weONnKjXp+IiIjI3DHBIupmFFYy/HVCPwDAx3svoaRaZbRrf/RbOkpqGtDT3R6PjuTGwkRERNT9MMEi6obuG+iDcF9HVKsasfq3dKNc80pxjX5E7NV7QyGX8fFCRERE3Q9/AyLqhqRSCV6eFAoA2HQ4E1eMsC/Wil/OQa0RMKqPG+7u53Hb1yMiIiKyREywiLqp6N5uGNPPHY1aAf/85TwEQbjlax24WIRfz1yFVAK8NqU/JBJWDiQiIqLuiQkWUTf20qQQSCXArjMF+Crx1jYfzi6txXNbUgEAj44MRF9PByNGSERERGRZmGARdWMhXo54aVIIAOCNn87iUHqxQedX1asx98sklNY0INzXEcuaph0SERERdVdMsIi6ufmjeuKBob7QaAUs+uZ4h9djabQCFm9JxYWr1fBwUOCzxyJhay0zcbRERERE5o0JFlE3J5FI8Pb0ARjs74SKOjXmfXUM5bUN7Z7TqNHizZ/OYs/5QiispPj0sUh4K207KWIiIiIi88UEi4hgI5fh09gIeDoqkF5YjbHv78N/jmVDq21d+OJEdjmmfXQIGxOuAADenTkQg/2dOjdgIiIiIjNlJXYARGQePBxtsGHOcDy7JQXphdV48fuT2HI0C49HBwEAGjUCUrPLselIJgQBUNrK8dqU/pg22FfcwImIiIjMCBMsItLr7+OInc+OwoZDGfj3nos4nlWO41mprdpNH+KLV+4NhVsPRecHSURERGTGmGARUQvWVlIsGN0L0wb74t97LuBSUQ2spBJYyaSwt5bhkRGBuLOPm9hhEhEREZklJlhE1CYvpQ1WPDBQ7DCIiIiILAqLXBARERERERkJEywiIiIiIiIjMWmCVVZWhtjYWCiVSiiVSsTGxqK8vLzdcwRBwPLly+Hj4wNbW1uMGTMGZ86cadFGpVLhmWeegZubG+zt7TF16lTk5OS0aHPhwgVMmzYNbm5ucHR0xB133IHff//d2G+RiIiIiIhIz6QJ1uzZs5Gamopdu3Zh165dSE1NRWxsbLvnvPvuu1i5ciXWrFmDpKQkeHl5Yfz48aiqqtK3Wbx4MbZv344tW7bg4MGDqK6uxpQpU6DRaPRt7r33XjQ2NuK3335DcnIyBg8ejClTpqCgoMBk75eIiIiIiLo3kyVY586dw65du/D5558jKioKUVFR+Oyzz/DTTz8hLS2tzXMEQcCqVavwyiuv4IEHHkB4eDi+/PJL1NbWYvPmzQCAiooKrF+/Hu+//z7GjRuHIUOGYNOmTTh16hR2794NACguLkZ6ejpeeuklDBw4EH369ME///lP1NbWthoNIyIiIiIiMhaTVRFMTEyEUqnEiBEj9MdGjhwJpVKJhIQE9OvXr9U5GRkZKCgoQExMjP6YQqHA6NGjkZCQgAULFiA5ORlqtbpFGx8fH4SHhyMhIQETJkyAq6srQkND8dVXX2Ho0KFQKBT45JNP4OnpiYiIiDbjValUUKlU+q8rKysBAGq1Gmq1+ra/H7ej+f5ix0GWg32GDMH+QoZgfyFDsL+QIcy5vxgSk8kSrIKCAnh4eLQ67uHhccNpes3HPT09Wxz39PREZmamvo21tTWcnZ1btWk+XyKRID4+HtOmTYODgwOkUik8PT2xa9cuODk5tXnvFStW4PXXX291PC4uDnZ2du2/2U4SHx8vdghkYdhnyBDsL2QI9hcyBPsLGcIc+0ttbW2H2xqcYC1fvrzNRORaSUlJAHSJzvUEQWjz+LWuf70j51zbRhAELFq0CB4eHjhw4ABsbW3x+eefY8qUKUhKSoK3t3er85ctW4alS5fqv66srIS/vz9iYmLg6OjY7r1NTa1WIz4+HuPHj4dcLhc1FrIM7DNkCPYXMgT7CxmC/YUMYc79pXl2W0cYnGA9/fTTePjhh9ttExQUhJMnT+Lq1autXisqKmo1QtXMy8sLgG6U6tokqLCwUH+Ol5cXGhoaUFZW1mIUq7CwENHR0QCA3377DT/99BPKysr0ydHatWsRHx+PL7/8Ei+99FKreysUCigUilbH5XK52fyAzSkWsgzsM2QI9hcyBPsLGYL9hQxhjv3FkHgMLnLh5uaGkJCQdv/Y2NggKioKFRUVOHr0qP7cI0eOoKKiQp8IXS84OBheXl4thgUbGhqwb98+/TkRERGQy+Ut2uTn5+P06dP6Ns1DeFJpy7cnlUqh1WoNfctEREREREQdYrIqgqGhoZg4cSLmz5+Pw4cP4/Dhw5g/fz6mTJnSosBFSEgItm/fDkA3NXDx4sV4++23sX37dpw+fRpz5syBnZ0dZs+eDQBQKpWYO3cunn/+eezZswcpKSl49NFHMWDAAIwbNw4AEBUVBWdnZzz++OM4ceIELly4gL/+9a/IyMjAvffea6q3TERERERE3ZzJilwAwDfffINnn31WX/Fv6tSpWLNmTYs2aWlpqKio0H/94osvoq6uDosWLUJZWRlGjBiBuLg4ODg46Nt88MEHsLKywkMPPYS6ujqMHTsWGzduhEwmA6AbZdu1axdeeeUV3HPPPVCr1QgLC8OPP/6IQYMGdSh2QRAAGDbf0lTUajVqa2tRWVlpdsOlZJ7YZ8gQ7C9kCPYXMgT7CxnCnPtLc07QnCO0RyJ0pFU3lJOTA39/f7HDICIiIiIiM5GdnQ0/P7922zDBugGtVou8vDw4ODjctIKhqTVXNMzOzha9oiFZBvYZMgT7CxmC/YUMwf5ChjDn/iIIAqqqquDj49OqzsP1TDpF0JJJpdKbZqedzdHR0ew6G5k39hkyBPsLGYL9hQzB/kKGMNf+olQqO9TOZEUuiIiIiIiIuhsmWEREREREREbCBMsCKBQK/P3vf29zI2SitrDPkCHYX8gQ7C9kCPYXMkRX6S8sckFERERERGQkHMEiIiIiIiIyEiZYRERERERERsIEi4iIiIiIyEiYYBERERERERkJEywLsHbtWgQHB8PGxgYRERE4cOCA2CGRGVq+fDkkEkmLP15eXmKHRWZi//79uO++++Dj4wOJRIIdO3a0eF0QBCxfvhw+Pj6wtbXFmDFjcObMGXGCJbNwsz4zZ86cVs+ckSNHihMsiWrFihUYNmwYHBwc4OHhgfvvvx9paWkt2vAZQ8060l8s/fnCBMvMbd26FYsXL8Yrr7yClJQUjBo1CpMmTUJWVpbYoZEZCgsLQ35+vv7PqVOnxA6JzERNTQ0GDRqENWvWtPn6u+++i5UrV2LNmjVISkqCl5cXxo8fj6qqqk6OlMzFzfoMAEycOLHFM2fnzp2dGCGZi3379uGpp57C4cOHER8fj8bGRsTExKCmpkbfhs8YataR/gJY9vOFZdrN3IgRIzB06FB8/PHH+mOhoaG4//77sWLFChEjI3OzfPly7NixA6mpqWKHQmZOIpFg+/btuP/++wHoPln28fHB4sWL8be//Q0AoFKp4OnpiXfeeQcLFiwQMVoyB9f3GUD3CXN5eXmrkS2ioqIieHh4YN++fbjrrrv4jKF2Xd9fAMt/vnAEy4w1NDQgOTkZMTExLY7HxMQgISFBpKjInF28eBE+Pj4IDg7Gww8/jMuXL4sdElmAjIwMFBQUtHjWKBQKjB49ms8aatfevXvh4eGBvn37Yv78+SgsLBQ7JDIDFRUVAAAXFxcAfMZQ+67vL80s+fnCBMuMFRcXQ6PRwNPTs8VxT09PFBQUiBQVmasRI0bgq6++wq+//orPPvsMBQUFiI6ORklJidihkZlrfp7wWUOGmDRpEr755hv89ttveP/995GUlIR77rkHKpVK7NBIRIIgYOnSpbjzzjsRHh4OgM8YurG2+gtg+c8XK7EDoJuTSCQtvhYEodUxokmTJun/f8CAAYiKikKvXr3w5ZdfYunSpSJGRpaCzxoyxKxZs/T/Hx4ejsjISAQGBuLnn3/GAw88IGJkJKann34aJ0+exMGDB1u9xmcMXe9G/cXSny8cwTJjbm5ukMlkrT7dKSwsbPUpENH17O3tMWDAAFy8eFHsUMjMNVeb5LOGboe3tzcCAwP5zOnGnnnmGfz3v//F77//Dj8/P/1xPmOoLTfqL22xtOcLEywzZm1tjYiICMTHx7c4Hh8fj+joaJGiIkuhUqlw7tw5eHt7ix0Kmbng4GB4eXm1eNY0NDRg3759fNZQh5WUlCA7O5vPnG5IEAQ8/fTT+OGHH/Dbb78hODi4xet8xtC1btZf2mJpzxdOETRzS5cuRWxsLCIjIxEVFYVPP/0UWVlZWLhwodihkZl54YUXcN999yEgIACFhYX4xz/+gcrKSjz++ONih0ZmoLq6Gunp6fqvMzIykJqaChcXFwQEBGDx4sV4++230adPH/Tp0wdvv/027OzsMHv2bBGjJjG112dcXFywfPlyzJgxA97e3rhy5QpefvlluLm5Yfr06SJGTWJ46qmnsHnzZvz4449wcHDQj1QplUrY2tpCIpHwGUN6N+sv1dXVlv98EcjsffTRR0JgYKBgbW0tDB06VNi3b5/YIZEZmjVrluDt7S3I5XLBx8dHeOCBB4QzZ86IHRaZid9//10A0OrP448/LgiCIGi1WuHvf/+74OXlJSgUCuGuu+4STp06JW7QJKr2+kxtba0QExMjuLu7C3K5XAgICBAef/xxISsrS+ywSQRt9RMAwoYNG/Rt+IyhZjfrL13h+cJ9sIiIiIiIiIyEa7CIiIiIiIiMhAkWERERERGRkTDBIiIiIiIiMhImWEREREREREbCBIuIiIiIiMhImGAREREREREZCRMsIiIiIiIiI2GCRUREREREZCRMsIiIiIiIiIyECRYREdENjBkzBosXLxY7DCIisiBMsIiIiIiIiIxEIgiCIHYQRERE5mbOnDn48ssvWxzLyMhAUFCQOAEREZFFYIJFRETUhoqKCkyaNAnh4eF44403AADu7u6QyWQiR0ZERObMSuwAiIiIzJFSqYS1tTXs7Ozg5eUldjhERGQhuAaLiIiIiIjISJhgERERERERGQkTLCIiohuwtraGRqMROwwiIrIgTLCIiIhuICgoCEeOHMGVK1dQXFwMrVYrdkhERGTmmGARERHdwAsvvACZTIb+/fvD3d0dWVlZYodERERmjmXaiYiIiIiIjIQjWERE/99+HQsAAAAADPK3nsTOsggAYCJYAAAAE8ECAACYCBYAAMBEsAAAACaCBQAAMBEsAACAiWABAABMBAsAAGAiWAAAABPBAgAAmASv79qo6FiURgAAAABJRU5ErkJggg==",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "D = 0.5 # Underdamped: decaying oscillations\n",
    "#D = 2 # Critically damped\n",
    "#D = 2.1 # Overdamped: exponential decay\n",
    "\n",
    "periods = 4\n",
    "b = 2pi * periods\n",
    "\n",
    "stepsperperiod = 50\n",
    "n = Int(stepsperperiod * periods)\n",
    "\n",
    "damping(k, M, D)\n",
    "\n",
    "(t, U) = explicitmidpoint_system(f_mass_spring, a, b, u_0, n)\n",
    "Y = U[:,1]\n",
    "DY = U[:,2]\n",
    "y = y_mass_spring.(t; t_0=a, u_0=u_0, k=k, M=M, D=D)  # Exact solution\n",
    "\n",
    "damping(k, M, D)\n",
    "\n",
    "figure(figsize=[10,4])\n",
    "title(\"y for k/M=$(k/M), D=$D by explicit midpoint with $periods periods, $stepsperperiod steps per period\")\n",
    "plot(t, Y, label=\"y computed\")\n",
    "plot(t, y, label=\"exact solution\")\n",
    "xlabel(\"t\")\n",
    "legend()\n",
    "grid(true)\n",
    "\n",
    "figure(figsize=[10,4])\n",
    "title(\"Error in Y\")\n",
    "plot(t, y-Y)\n",
    "xlabel(\"t\")\n",
    "grid(true)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fossil-basement",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "This work is licensed under [Creative Commons Attribution-ShareAlike 4.0 International](https://creativecommons.org/licenses/by-sa/4.0/)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 1.8.1",
   "language": "julia",
   "name": "julia-1.8"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.8.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
