{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Runge-Kutta Methods"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "% TO DO\n",
    "% - Improve the presentation of examples"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**References:**\n",
    "\n",
    "- Sections 6.4 *Runge-Kutta Methods and Applicaitons* in {cite}`Sauer`.\n",
    "- Section 5.4 *Runge-Kutta Methods* in {cite}`Burden-Faires`.\n",
    "- Sections 7.1 and 7.2 in {cite}`Chenney-Kincaid`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "using PyPlot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Introduction\n",
    "------------\n",
    "\n",
    "The original Runge-Kutta method is the fourth order accurate one to be described below, which is still used a lot, though with some modifications.\n",
    "\n",
    "However, the name is now applied to a variety of methods based on a similar strategy, so first, here are a few simpler methods, all of some value, at least for small, low precision calculations."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Euler's Method as a Runge-Kutta method\n",
    "\n",
    "The simplest of all methods of this general form is Euler's method.\n",
    "To set up the notation to be used below, rephrase it this way:\n",
    "\n",
    "To get from $(t, u)$ to an approximation of $(t+h, u(t+h))$, use the approximation\n",
    "\n",
    "$$\\begin{split}\n",
    "K_1 &= h f(t, u)\n",
    "\\\\\n",
    "u(t+h) &\\approx u + K_1\n",
    "\\end{split}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Second order Runge-Kutta methods\n",
    "\n",
    "We have seen that the global error of Euler's method is $O(h)$: it is only first order accurate.\n",
    "This is often insufficient, so it is more common even for small, low precision calculation to use one of several second order methods:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### The Explicit Trapezoid Method (a.k.a. the Improved Euler method or Huen's method)\n",
    "\n",
    "One could try to adapt the trapezoid method for integrating $f(t)$ to solve $du/dt = f(t)$\n",
    "\n",
    "$$\n",
    "u(t + h) = u(t) + \\int_{t}^{t + h} f(s) ds \\approx u(t) + h \\frac{f(t) + f(t+h)}{2}\n",
    "$$\n",
    "\n",
    "to solving the ODE $du/dt = f(t, u)$ but there is a problem that needs to be overcome:\n",
    "\n",
    "we get\n",
    "\n",
    "$$u(t + h) \\approx u(t) + h \\frac{f(t, u(t)) + h f(t+h, u(t+h))}{2}$$\n",
    "\n",
    "and inserting the values $U_i \\approx u(t_i)$ and so on gives\n",
    "\n",
    "$$U_{i+1} = U_i + h \\frac{f(t_i, U_i) + f(t_{i+1}, U_{i+1}))}{2}$$\n",
    "\n",
    "This is known as the **Implicit Trapezoid Method**, because the value $U_{i+1}$ that we seek appears at the right-hand side too: we only have an *implicit* formula for it.\n",
    "\n",
    "On one hand, one can in fact use this formula, by solving the equation at each time step for the unknown $U_{i+1}$;\n",
    "for example, one can use methods seen in earlier sections such as fixed point iteration or the secant method."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will return to this in a later section;\n",
    "however, for now we get around this more simply by inserting an approximation at right — the only one we know so far, given by Euler's Method.\n",
    "That is:\n",
    "\n",
    "- replace $u(t+h)$ at right by the tangent line approximation $u(t+h) \\approx u(t) + hf(t, u(t))$, giving\n",
    "\n",
    "$$ u(t + h) \\approx u(t) + h \\frac{f(t, u(t)) + f(t+h, u(t) + hf(t, u(t)))}{2} $$\n",
    "\n",
    "and for the formulas in terms of the $U_i$, replace $U_{i+1}$ at right by $U_{i+1} \\approx U_i + h f(t_i, U_i)$, giving\n",
    "\n",
    "$$ U_{i+1} = U_i + h \\frac{f(t_i, U_i) + f(t_{i+1}, U_i + h f(t_i, U_i))}{2} $$\n",
    "\n",
    "This is the **Explicit Trapezoid Method**."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is convenient to break this down into two stages, one for each evaluation of $f(t, u)$:\n",
    "\n",
    "$$\\begin{split}\n",
    "K_1 &= h f(t, u)\n",
    "\\\\\n",
    "K_2 &= h f(t+h, u + K_1)\n",
    "\\\\\n",
    "u(t+h) &\\approx u + \\frac{1}{2}(K_1 + K_2)\n",
    "\\end{split}$$\n",
    "\n",
    "For equal sized time steps, this leads to"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "```{prf:algorithm} The Explicit Trapezoid Method\n",
    ":label: explicit-trapezoid\n",
    "\n",
    "$$\\begin{split}\n",
    "U_0 &= u_0\n",
    "\\\\\n",
    "U_{i+1} &= U_i + \\frac{1}{2}(K_1 + K_2),\n",
    "\\\\\n",
    "&\\quad \\text{where}\n",
    "\\\\\n",
    "K_1 &= h f(t_i, U_i)\n",
    "\\\\\n",
    "K_2 &= h f(t_{i+1}, U_i + K_1)\n",
    "\\end{split}$$\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will see that, despite the mere first order accuracy of the Euler approximation used in getting $K_2$, this method is second order accurate; the key is the fact that any error in the approximation used for $f(t+h, u(t+h))$ gets multiplied by $h$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "See [Exercise 1](exercise-1)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "function explicittrapezoid(f, a, b, u_0, n; demomode=false)\n",
    "    # Use the Explict Trapezoid Method (a.k.a Improved Euler) to solve\n",
    "    #     du/dt = f(t, u)\n",
    "    # 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)  # Note: \"n\" counts steps, so there are n+1 values for t.\n",
    "    u = zeros(n+1)\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": "markdown",
   "metadata": {},
   "source": [
    "As always, this function can now also be imported from module `NumericalMethods` with\n",
    "\n",
    "    include(\"NumericalMethods.jl\")\n",
    "    using .NumericalMethods: explicitTrapezoid"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Examples\n",
    "\n",
    "For all methods in this section, we will solve for versions of {prf:ref}`ode-simplest-genuine` and {prf:ref}`ode-stiff`\n",
    "in {doc}`ODE-IVP-1-Euler`.\n",
    "\n",
    "$$\\frac{du}{dt} = f_1(t, u) = k u$$ (simplest-ode)\n",
    "\n",
    "with general solution\n",
    "\n",
    "$$u(t) = u_1(t; a, u_0, k) = u_0 e^{k(t-a)}$$ (simplest-ode-solution)\n",
    "\n",
    "and\n",
    "\n",
    "$$\\frac{du}{dt} = f_2(t, u) = k(\\cos(t) - u) - \\sin(t)$$ (stiff-ode)\n",
    "\n",
    "with general solution\n",
    "\n",
    "$$u(t) = u_2(t; a, u_0, k) = \\cos t + c e^{-k(t-a)}, \\; c = u_0 - \\cos(a)$$ (stiff-ode-solution)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For comparison to Euler's Method, the same examples are done with it [below](#euler-redux)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# A helper function for rounding some output to four significant digits\n",
    "approx(x) = round(x, sigdigits=4);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "````{prf:example}\n",
    ":label: ode-simplest-genuine-solved\n",
    "\n",
    "Let us first solve the simple ODE {eq}`simplest-ode` from {prf:ref}`ode-simplest-genuine`.\n",
    "````"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "f1(t, u) = k*u\n",
    "# The simplest \"genuine\" ODE, (not just integration):\n",
    "# The solution is u(t) = u(t; a, u_0) = u_0 exp(t-a)\n",
    "u1(t, u_0, k) = u_0 * exp(k*(t-a));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "a = 1.0\n",
    "b = 3.0\n",
    "u_0 = 2.0\n",
    "k = 1.5\n",
    "n = 40\n",
    "\n",
    "(t, U) = explicittrapezoid(f1, a, b, u_0, n; demomode=true)\n",
    "u = u1.(t, u_0, k)\n",
    "figure(figsize=[10,4])\n",
    "title(\"Solving du/dt = $(k)u, u($a)=$u_0 by the Explicit Trapezoid Method\")\n",
    "plot(t, u, \"g\", label=\"Exact solution\")\n",
    "plot(t, U, \".:b\", label=\"Solution with h=$(approx(b-a)/n)\")\n",
    "legend()\n",
    "grid(true)\n",
    "\n",
    "figure(figsize=[10,4])\n",
    "title(\"Error\")\n",
    "plot(t, u - U, \".:\")\n",
    "grid(true)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "````{prf:example}\n",
    ":label: ode-stiff-solved\n",
    "\n",
    "Solve the stiff ODE  {eq}`stiff-ode` from {prf:ref}`ode-stiff`.\n",
    "````"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "f2(t, u) = k*(cos(t) - u) - sin(t)\n",
    "# A simple more \"generic\" test case, with f(t, u) depending on both variables.\n",
    "# The general solution is u(t) = u(t; a, u_0) = cos t + (u_0 - cos(a)) e^(k (a-t))\n",
    "u2(t, a, u_0, k) = cos(t) + (u_0 - cos(a)) * exp(k*(a-t));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "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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wbdo0tGnTBtOmTcOAAQMwf/58i3N5enpCo9GYf4KDg83PiaKI+fPnY8aMGUhKSkJsbCyWLVuGwsJCrFy50ibvBRGRMykpNeHbP8/jcl4xdmVeBQA0VgDdogJ5E3ALlU/V4hwV8+WIiG6Xl6cHlj3bFUue7oyh94RLHY5DytQVoNJ0Zae6/tosCSspKcGePXuQmJhosT0xMRHbt2+3esyOHTuq7D9w4ED8+eefMBqNNe5T+ZwnT55EeHg4oqKi8Pjjj+PMmTPm5zIzM5GdnW1xHoVCgT59+lQbGxGRO/Hy9MB3L8QjZUgMRt8bJXU4DsvafDlXW1CUiOynuLTM/P9enh4Y0DZUwmgcm7PPV7ZZdUSdToeysjKEhlr+4wkNDUV2drbVY7Kzs63uX1paCp1Oh7CwsGr3ufWc3bp1w1dffYVWrVrh8uXLePfdd9GjRw8cPnwYQUFB5n2tnefcuXPV/k7FxcUoLi42P87LywMAGI1Gc5JItlHx/vJ9dl5sQ+cgiqJ5rL23DPh/XZugtLSU7VcNtY8n3n0oBm/8cMRcvayRwhOCqcyh3iu2n3Nj+zm3urZfbmEJHv9sN0Z2jcBT3SPN12KyrvL110MA/vlQW6h9PBv0s1Kfz199XtfmJeor/wO69Q98XfevvL22c95///3m/4+Li0N8fDxatGiBZcuWYfLkybcdW2pqKt55550q29PS0uDj4xxZt7NLT0+XOgS6Q2xDx3S9GMguFJB2UUDfcBF3B1Ye5FGO7VeVL4C3OwAXCwSsOeuB/BIjlv24EW0aW38PpcT2c25sP+dWU/tdLwbSLgo4o5Ph49+PwU93GN4yOwbnpCquv1eKBAR7i/C9fADr1x+wyWvV5fNXWFj3oZA2S8LUajVkMlmVXq+cnJwqPVAVNBqN1f09PT0RFBRU4z7VnRMAfH19ERcXh5MnT5rPAZT3vIWFhdX5PNOmTbNI4vLy8hAREYHExET4+/tXexzdOaPRiPT0dCQkJEAu5wKpzoht6Li+23MB79zSk3PpjAfGPdoH/sq/24ntVzeP5NyASRTRKtSv9p3tiO3n3Nh+zq229rv1GiwAeLJnCyT1a2n/QMmq+nz+KkbJ1YXNkjAvLy906tQJ6enpeOSRR8zb09PT8dBDD1k9Jj4+Hj/99JPFtrS0NHTu3Nn8S8fHxyM9PR2TJk2y2KdHjx7VxlJcXIyjR4+iV69eAICoqChoNBqkp6ejQ4cOAMrnsG3ZsgVz5syp9jwKhQIKhaLKdrlczouinfC9dn5sQ8ei1RsshtIBQHGpCSWiYLWd2H41a3tXgMXj2kZY2Bvbz7mx/ZybtfarfA0WAXy0KRNPdGvGIkgOpi6fv/p8Pm1aHXHy5Mn4/PPP8cUXX+Do0aOYNGkSsrKy8MILLwAo71l66qmnzPu/8MILOHfuHCZPnoyjR4/iiy++wJIlS/Dqq6+a93nllVeQlpaGOXPm4NixY5gzZw5+++03TJw40bzPq6++ii1btiAzMxO7du3CsGHDkJeXh6effhpA+TDEiRMnYvbs2Vi3bh0OHTqEUaNGwcfHByNHjrTlW0JE5FAydQUWCRhQXubXWapLObKzugKM+HQnMnUFUodCRA7qjxNXqlyDnanCH90+m84JGzFiBK5evYqZM2dCq9UiNjYW69evR9OmTQEAWq3WYs2wqKgorF+/HpMmTcJHH32E8PBw/Oc//8Gjjz5q3qdHjx5YtWoV3njjDbz55pto0aIFVq9ejW7dupn3uXDhAp544gnodDoEBweje/fu2Llzp/l1AeC1116DwWDAuHHjkJubi27duiEtLQ1+fo41hISIyJY0/t4QAIsyv85UXcqR/fPnI9h99hre/P4QVozpVvsBRORWSstM+HTLmSrbeQ12DzYvzDFu3DiMGzfO6nNffvlllW19+vTB3r17azznsGHDMGzYsGqfX7VqVa1xCYKAlJQUpKSk1LovEZGr+nxbJkTAnIjJBAGzk2I5DKYBpCbF4a0fDuOdh9pBqzcgU1eAKLUv31siAgB4yjzwj4Gt8faPh6G7UQyTyGuwO7F5EkZERI5JFEU0V/vCy9MD7z92N4IbeaOZ2od//BtIiL83FiV3wuqMLExbe9BcQjk1KQ4jukRKHR4ROYD748IwsJ0Gl/OLcFZXyGuwG2ESRkTkpgRBwJhezTG0fThC/LylDsclafUGcwIGlM+3m772EHq3CuaNFpGbyi0ogULuAR+v8ttwDw8BYSolrwluxqaFOYiIyPGIooiyW2aCMwGzHWuFTzjpnsh9iaKIyd/ux+D/bMORS3UvZ06uh0kYEZGb+XL7WYz8bCcuXTdIHYrLi1L7wqNShXoPAZx0T+SmtPoiHNHm4cJ1A2SVLw7kVpiEERG5kcKSUizYeAq7Mq/h92M5Uofj8sJUSqQmxUF2c60w2c05YRx2ROSewhsrseGV3vj0yU5orWFFbnfGOWFERG7Ex8sTa1/sgVUZ5/FkNxaHsIcRXSLRu1VwlUn3jraQMxHZR4CvF/q1CZE6DJIYkzAiIjfTTO2Lqfe3kToMt3LrpPsiYxnm/3YSxjIT3hwcI3FkRGRrWn0RVp4SgIPZeKhjhNThkINgEkZE5AZ+PaRFflEpekarORROYnuzcrFoy2kAwBNdI9AyhEOSiFzV6owsTF17EKIow65vD+D89SKM7x8tdVjkAJiEERG5uC+2ZWLmz0cAAIIAvMd1qiTVo4Ua4/q2QPuIxkzAiFxYxRIV4i0VUj9MP4lHOzXhl2HEwhxERK5Mqzfg3V+OmB+LN9ep0upZGVFKrw1qg8R2GqnDICIb4hIVVBMmYURELow3AY6vsKQUJy/nSx0GETWwED/vKktUyASBS1QQACZhREQuzdo6VbwJcByncm7g/n9vxailGcgvMkodDhE1kCJjGcYsy0DHyADzNdhDAGYnxXIoIgHgnDAiIpf10aZTEATg3Ydj8eb3h1EmipAJAm8CHEiYyhuiCJhEEfuyrsNTJiBK7cv2IXJyf5y4grNXC1FkNOGX8T3wy+9bMfyBfohUcx4olWMSRkTkgrKuFmL+bydgLBOxdFQXbJvar8o6VSQ9X4UnPn+6M7af1mHU0t0wieXflqeyeAqRU0tsp8GaF+NhKDGhZUgjRKtEhKm8pQ6LHAiTMCIiFxQRqMScR+/GjtNX0bd1MARBYPLloPy8PTHzpyPmuXumm8VTercKZpsRObFOTQMBAEYjhxpTVZwTRkTkggRBQFLHJvjXY/dAEITaDyDJsHgKkevYfkqH64UlUodBToBJGBGRC8kvMsJYZpI6DKoHa8VTPASweAqRk8nWF+G55Xtw37wtyNQVSB0OOTgmYURELuStHw5jyIJtOHRRL3UoVEdhKiVSk+Igu9ljKQB4c3AMhyISOZncwhJoVN6ICPRBZCC/RKGacU4YEZGLuHqjGJuP5+C6wYiyyuPbyKGN6BKJ3q2CkXmlAFHBrI5I5Izahvnjlwn34nqhEbLK3dtElTAJIyJyEUGNFPh9Sl9sPXkF90Q0ljocqqcwlbJK8mUyifDgzRyR01B4yhDqL5M6DHICHI5IRORCAn298FD7u6QOg+6Q7kYxpnz7F9768ZDUoRBRDbR6Ayav3o9lO85CFDkCgeqOPWFERE5u55mrOHk5H/fFhHIYm4s4lXMDa/ZegMxDwIt9W+KuxmxXIkezOiMLU9cehCgCa/ddhC6/GFMSW0sdFjkJ9oQRETmxb3Zn4fHFO/HmD4fRI3UjVmdkSR0SNYDuzYMw6b5W+L8X4pmAETkgrd6AaTcTsAofbzoNrd4gXVDkVJiEERE5Ka3egBnrDpofiyhf5Jc3Aa7hlfui0SEyQOowiMgKru9Hd4pJGBGRk+JNgPu4XljCBWCJHEhEgLLK+n4yQeD6flRnTMKIiJyUtUV+eRPgetKPXEb/D7Zg9vqjUodCRDd9tjUTrUP9zNdgmSBgdlIs5+VSnbEwBxGRE7qQW4jlO8/hrSEx+OdPR1EmirwJcFGBvnJcKyjBgQt6GErKoPRi+WsiKV29UYzVGedRXGrCgifaQ93IG83UPrz2Ur0wCSMickLv/fcYfj6gxf2xGmyb2g9ndYW8CXBRnZoG4stnuqBnSzV0N4qx73wBotRc0JlIKkGNFFj/Si+kHb6MIfdwSRC6PUzCiIic0KOdmuB4dj7G929pdZFfci19W4dgdUYWpq09CJMIeAhAalIcRnSJlDo0IrfUIrgRXuzbSOowyIkxCSMickL9WoegT3QwPCpPCiOXVFEOu6IQi0ksr4TZu1UwE3AiOykuLUNugREalbfUoZALsHlhjo8//hhRUVHw9vZGp06dsHXr1hr337JlCzp16gRvb280b94cixYtqrLPmjVrEBMTA4VCgZiYGKxbt87i+dTUVHTp0gV+fn4ICQnBww8/jOPHj1vsM2rUKAiCYPHTvXv3O/+FiYjshAmY+2AlTCLpfbHtLPq9vxnLd5yVOhRyATZNwlavXo2JEydixowZ2LdvH3r16oX7778fWVnWFxPNzMzEAw88gF69emHfvn2YPn06JkyYgDVr1pj32bFjB0aMGIHk5GT89ddfSE5OxvDhw7Fr1y7zPlu2bMFLL72EnTt3Ij09HaWlpUhMTERBQYHF6w0aNAhardb8s379etu8EUREDaCguBTDPtmO9Qe1EEWx9gPIZbASJpG0RFHEjjNXYTCWoZE3B5LRnbPpv6J58+Zh9OjRGDNmDABg/vz5+PXXX/HJJ58gNTW1yv6LFi1CZGQk5s+fDwBo27Yt/vzzT7z//vt49NFHzedISEjAtGnTAADTpk3Dli1bMH/+fHzzzTcAgA0bNlicd+nSpQgJCcGePXvQu3dv83aFQgGNRtPgvzcRkS18uf0s/jyXi5z8YgxoGwKFJ6vkuYswlRKpSXGYvvYQK2ESSUAQBCx7pgs2HstBv9YhUodDLsBmSVhJSQn27NmDqVOnWmxPTEzE9u3brR6zY8cOJCYmWmwbOHAglixZAqPRCLlcjh07dmDSpElV9qlI3KzR6/UAgMDAQIvtmzdvRkhICBo3bow+ffpg1qxZCAmp/oNVXFyM4uJi8+O8vDwAgNFohNForPY4unMV7y/fZ+fFNrxzT3a9C4ZiI2LD/eEhmmA0muz22mw/6SW1D0N8VACyrhUiMtAHYSrvOrcH28+5sf0cR++WgSgrK0VZWd2PYfs5t/q0X33a2GZJmE6nQ1lZGUJDQy22h4aGIjs72+ox2dnZVvcvLS2FTqdDWFhYtftUd05RFDF58mTce++9iI2NNW+///778dhjj6Fp06bIzMzEm2++if79+2PPnj1QKBRWz5Wamop33nmnyva0tDT4+HBIiD2kp6dLHQLdIbbhnYkGUJwJrM+U5vXZfo7hKoBfDcC2yx54uKmpylDF6rD9nBvbz/5MIrD/qoB7gkTI7nAaLtvPudWl/QoL6z5P1+aDWgXB8l+sKIpVttW2f+Xt9Tnn+PHjceDAAWzbts1i+4gRI8z/Hxsbi86dO6Np06b45ZdfkJSUZPVc06ZNw+TJk82P8/LyEBERgcTERPj7+1f7O9GdMxqNSE9PR0JCAuRyudTh0G1gG96+guJS+CqknYPA9nMsJaUm9PngD+hulCCxayyGd25S4/5sP+fG9pOGVl+ElbuysOzkWXQoUmH12K413sNWh+3n3OrTfhWj5OrCZn/V1Wo1ZDJZlR6qnJycKj1ZFTQajdX9PT09ERQUVOM+1s758ssv48cff8Qff/yBJk1q/gMVFhaGpk2b4uTJk9Xuo1AorPaSyeVyfqjshO+182Mb1s/F3EIkL9mNJgFKzBl2t+RzgNh+jkEuB17s2xLbTl5B1+bqOrcJ28+5sf3s59Z1+QAgVOUNLy+vOzon28+51aX96tO+NquO6OXlhU6dOlXpuktPT0ePHj2sHhMfH19l/7S0NHTu3Nn8S1W3z63nFEUR48ePx9q1a7Fx40ZERUXVGu/Vq1dx/vx5hIWF1en3IyKytdUZWbh37iac0RXgj5M6/HJAK3VI5ECe6dEMS5/piuhQP6lDIXIpldflA4C0w5eh1RukC4pcjk1L1E+ePBmff/45vvjiCxw9ehSTJk1CVlYWXnjhBQDlw/ueeuop8/4vvPACzp07h8mTJ+Po0aP44osvsGTJErz66qvmfV555RWkpaVhzpw5OHbsGObMmYPffvsNEydONO/z0ksvYcWKFVi5ciX8/PyQnZ2N7OxsGAzlH54bN27g1VdfxY4dO3D27Fls3rwZQ4YMgVqtxiOPPGLLt4SIqE4qbgJurUSfuv4YbwLIjOvEEdmGtXX5TCK4Lh81KJtOMhgxYgSuXr2KmTNnQqvVIjY2FuvXr0fTpk0BAFqt1mLNsKioKKxfvx6TJk3CRx99hPDwcPznP/8xl6cHgB49emDVqlV444038Oabb6JFixZYvXo1unXrZt7nk08+AQD07dvXIp6lS5di1KhRkMlkOHjwIL766itcv34dYWFh6NevH1avXg0/P36jSETSq2lxXqmHJJJjKTKWYcm2TGj1Brz7cJzU4RA5vSi1LwQAt16CuS4fNTSbz/QeN24cxo0bZ/W5L7/8ssq2Pn36YO/evTWec9iwYRg2bFi1z9e2iKlSqcSvv/5a4z5ERFJS+yrgIcAiEeNNAFlzKucG/vXrcQDAyK5NERPOQlFEd0JvMFZJwLguHzU0LvlNROSAvsnIglzmgZIyE0SRNwFUvdi7VHihTwu00fihjYajOYjulEopR1LHu6AvNGJMr+ZopvbhtZcaHJMwIiIHU2YS8df56yguNeHfj7dHiJ83bwKoRlPvbyN1CEQuI0ylxLzh7VFmEiHj3EuyESZhREQORuYh4P9e6IHtp6/i3mi11OGQk7mQW4hMXQFahjRi4k50B5iAkS0xCSMickAeHgITMKq32euPYvEfZwAAHgKQmhSHEV0iJY6KyDn8ckCL/edz8VK/lmjsc2drghHVxqYl6omIqH62nLiCssplEYnqQKs34LObCRhQXtRl+tpDXNaAqA5KSk1I/e9RfLY1Eyt3Z9V+ANEdYhJGROQgtp/S4ekvdmPowm0wlpmkDoecTKauAJXT94plDYioZnKZgHcfjkWvaDVG9WgmdTjkBjgckYjIQVy5UQx/b090bhoAuYzfkVH9RKl9uawB0W0SBAF9W4egb+sQqUMhN8EkjIjIQTzU/i70bRUCsUp/BlHtwlRKpCbFYfraQygTRcgEAVPvb4MwlRJGo1Hq8IgcliiKEAQW4SD74letREQOROUj54Rwum0jukRi29R+WDG6KxLahWLOhmM4eTlf6rCIHNbF6wYkfPgHfth/EaLIL8DIfpiEERFJbNOxHBy+pJc6DHIRYSol7o0OhskkotQkYsuJK1KHROSwPvvjDE7l3MDKXSzGQfbF4YhERBIqLCnFa2sO4Ep+MZY92xV9WgVLHRK5iGkPtMVL/VrinojGHI5IVIlWb0CmrgBPxTeFupEXekUHc0gi2RWTMCIiiWj1Bvx1/jraN2mMkzn5iG8eJHVI5EKi1L5Sh0DkkFZnZGHa2oMwiX+vp3dPRGOpwyI3wySMiEgClW8CUoa0g5cnR4iTbeQXlSKbleqJoNUbzNde4O/19Hq3CkaYSiltcORW+BefiMjOrN0EvPPTES6qSzaRcfYaBny4FV+ekHEhcHJ7mboCVP4YcD09kgKTMCIiO+NNANlTqxA/lJlElInA5bwiqcMhklSU2heVp35xPT2SApMwIiI7szZXhzcBZCsqHzm+Ht0FU9uXIbwxh1uRewtTKfFeUhw8biZiMkHA7KRYDkUku+OcMCIiOwtTKfFUfFN8teMcAN4EkO210fjhDAu/EQEoX0+vd6tgnNUVopnah9dekgSTMCIiCcx8KBbP926OrGsG3gSQ3YiiiF8PZyO+RRD8veVSh0NkV0XGMtwoLoW6kQJhKiWvuyQpDkckIpLIXQE+iG8RxBsBspvX1x7C88v3YN6vJ7D9tI7FYMitLN9xDr3nbsLS/2VKHQoRkzAiInv6589H8POBSzCxSh1JIKFtKOQyAct2nMXIz3ah53sbsTojS+qwiOxi2ykdCkvK4KvgQDCSHv8VEhHZyf7z17FkWyY8BKDdFBUX0yW7iw0vr5RY8RUA10gid/LlM12w6XgOekcHSx0KEZMwIiJ7aR7si4n3ReN6oZEJGEni3DVDtcsjMAkjVycIAvq3CZU6DCIATMKIiOzG31uOife1kjoMcmNNg3zgIcAiEePyCOTq9mXlIu4uFTxlnIVDjoP/GomIiNxEmMobqbeskQQAL/dvyV4wclnnrxVi+Kc7MHD+H7heWCJ1OERmTMKIiGxs0/EcvLhiD05ezpc6FCKM6BKJ/03tj+7NA9GjRRCGtA+XOiQimzl95QZ8FZ4IUynR2MdL6nCIzDgckYjIhkRRxLy0Ezh4UY8mAUrMeDBG6pCIEKZS4qtnu8HLk9/Fkmvr2zoEf7zWD/pCo9ShEFng1ZeIyIYEQcD7j92DofeE48W+LaUOh8iMCRi5C39vOSICOe+RHAuvwERENtZa44f/PNEBgb4cCkOOx1BSho83n8L/TumkDoWowWw9eQVf7zzHBcnJYXE4IhGRDWj1BmReKUBUsC+LHpBD+2jTKSzcdAqxd/njx5fuhcetVTuInNCq3VmYuvYgAED4Hnjv0TiM6BIpbVBEldi8J+zjjz9GVFQUvL290alTJ2zdurXG/bds2YJOnTrB29sbzZs3x6JFi6rss2bNGsTExEChUCAmJgbr1q2r9+uKooiUlBSEh4dDqVSib9++OHz48J39skREAFZnZKHnexsx8vNd6JG6Ect3nJM6JKJqPdOzGdpo/PBszyipQyG6Y1q9AdPXHTQ/FlG+IDl7xMjR2DQJW716NSZOnIgZM2Zg37596NWrF+6//35kZWVZ3T8zMxMPPPAAevXqhX379mH69OmYMGEC1qxZY95nx44dGDFiBJKTk/HXX38hOTkZw4cPx65du+r1unPnzsW8efOwcOFCZGRkQKPRICEhAfn5rF5GRLdPqzdg2tqD5nWYRABv/8gbAHJcQY0U+O8rvZDUsQl7wcjpZeoKql2QnMiR2DQJmzdvHkaPHo0xY8agbdu2mD9/PiIiIvDJJ59Y3X/RokWIjIzE/Pnz0bZtW4wZMwbPPvss3n//ffM+8+fPR0JCAqZNm4Y2bdpg2rRpGDBgAObPn1/n1xVFEfPnz8eMGTOQlJSE2NhYLFu2DIWFhVi5cqUt3xKb0eoN2H5axxs9IolZuwEwieANADk0QWDyRa4hSu2Lyt8lcEFyckQ2S8JKSkqwZ88eJCYmWmxPTEzE9u3brR6zY8eOKvsPHDgQf/75J4xGY437VJyzLq+bmZmJ7Oxsi30UCgX69OlTbWyOzDz06bNd6PneRqzOsN7TSES2xxsAclaiKGLz8RyMWZaBImOZ1OEQ1VtpmQnf77uENwfHQHbziwWZIGB2Uizn5pLDsVlhDp1Oh7KyMoSGhlpsDw0NRXZ2ttVjsrOzre5fWloKnU6HsLCwavepOGddXrfiv9b2OXeu+rkbxcXFKC4uNj/Oy8sDABiNRnOSaG9afZHF0CeTCExbexDxUQEIU3lLEpMtVLy/Ur3PdOfcpQ39vTwwc0gM3vrpCEwi4CEA/3yoLdQ+nk79u7tL+7mqurRfcakJr685gMt5xVi+IxOj4pvaKzyqBT9/dfPdnouYs+EYmgb6YOOke3H+ugGRgT4IU3lL+t6x/ZxbfdqvPm1s8+qIlYc4iKJY47AHa/tX3l6XczbUPrdKTU3FO++8U2V7WloafHyk+Zb7pF6ASZRZbDOJwLfrNyFaJVZzlPNKT0+XOgS6Q67ehukXBezVeeDJFib4ewHB3iJ8Lx/A+vUHpA6tQbh6+7m62trvvmABF30F+OQcxvr1LFblaPj5q9mF6wLCfTzQwS8f+3dsAgBcBbBP2rDM2H7OrS7tV1hY96kHNkvC1Go1ZDJZlV6vnJycKj1QFTQajdX9PT09ERQUVOM+Feesy+tqNBoA5T1iYWFhdYoNAKZNm4bJkyebH+fl5SEiIgKJiYnw9/ev9jhb0uqL8PHRPyzmoHgIwPAH+rlcT1h6ejoSEhIgl8ulDodugzu0YZlJxL/mb8OlQgPuvucePNQ+XOqQGow7tJ8rq2v7PXDzv1p9Ec5dLUTTIB+X+lvirPj5q5sHALxiElEmipDLHGcpXLafc6tP+1WMkqsLmyVhXl5e6NSpE9LT0/HII4+Yt6enp+Ohhx6yekx8fDx++ukni21paWno3Lmz+ZeOj49Heno6Jk2aZLFPjx496vy6UVFR0Gg0SE9PR4cOHQCUzyXbsmUL5syZU+3vpFAooFAoqmyXy+WSfagi1XKkJsWZhyRWjH2OVPtJEo+tSfleU8Nw5TaUA/j55Xvx7Z/n8UinSMhcsNKcK7efO6hL+63OyDL/TfEQgNQkrrHkKPj5c25sP+dWl/arT/vadDji5MmTkZycjM6dOyM+Ph6LFy9GVlYWXnjhBQDlPUsXL17EV199BQB44YUXsHDhQkyePBljx47Fjh07sGTJEnzzzTfmc77yyivo3bs35syZg4ceegg//PADfvvtN2zbtq3OrysIAiZOnIjZs2cjOjoa0dHRmD17Nnx8fDBy5EhbviU2MaJLJHq3CsZZXSGaqX04+ZRIQo19vPBc7xZSh0F0WyovsWASy9dY6t0qmH9byGGt3JUFX4UMQ+4O5zIL5DRsmoSNGDECV69excyZM6HVahEbG4v169ejadPyyb5ardZi7a6oqCisX78ekyZNwkcffYTw8HD85z//waOPPmrep0ePHli1ahXeeOMNvPnmm2jRogVWr16Nbt261fl1AeC1116DwWDAuHHjkJubi27duiEtLQ1+fs7ZgxSmUvIPJJGErheWoLGPl9RhEN2RmtZY4t8YckTXCkowe/1R3Cguha+XJ+6LqX5aCZEjsXlhjnHjxmHcuHFWn/vyyy+rbOvTpw/27t1b4zmHDRuGYcOG3fbrAuW9YSkpKUhJSanxPM7iQm4hPtp0GjIP4N2H46QOh8itXMkvRt9/bcJ9MaGY/UgcfBU2v7QS2UTFEgu3JmJcYoEcmbfcA8/3bo5tp3To3yZE6nCI6sxxZi3SHSkuNeGb3Vn4Yf8lqUMhcjubjuegoKQMZ3UF8PGS1X4AkYMKUymRmhTHNZbIafh4eeLlAdFY9Vx3DkUkp8Kva12Ext8bk+5rhaBGXrWW2ieihjW8cwRiwvxRZuJnj5yftXnGxaVlUHjyCwZyXLz2krNhT5iL8FV44pX7ovFk96a8EBFJIPYuFe6JaCx1GEQNIkylRHyLIISplFi2/Sx6vrcRBy/opQ6LyOysrgAvLN+D49n5UodCdFuYhBER3aarN4qRX2SUOgwim9p//jp0N0qwfOdZqUMhMvvwtxPYcDgbczYckzoUotvC4Ygu5EZxKa7kFyPQxwsqH65DQWRrczYcQ9qRy5j1cBwevDus9gOInNCk+1qha1QghnVqInUoRADKl1Lo1VKNvCIjpiS2kjocotvCJMyFvLhiD7ae1OGDx+7Bo/xjSWRTJaUm/HVej+uFRoQ19pY6HCKbiQzyQWQQF2smx1B5MfFB7TRoF66SOiyiemMS5kLUjRTw9ZKhqLRM6lCIXJpWb0CmrgBLRnVGpq4AHSMDpA6JyC5EUcTVghKoGymkDoXcEBcTJ1fCJMyF/GvY3fhwRHupwyByaZW/hU1N4rp85B4ydQWY8u1+5BeVYsPE3pCxHDjZWeYVLiZOroOFOVyIp4zNSWRL1X0Lq9UbpA2MyA4Cfb1w+koBzucW4qg2T+pwyA3pCoqrbONi4uSs2BNGRFRHmTp+C0vuS6WUY+HIDmgd6ocQf86DJPsbcnc4dp25hpW7syCKXEycnBuTMBdy5soNfLb1DHy9PPHG4BipwyFyOVFqXwgAbs3D+C0suZNe0cFSh0BuTBAEzHokDuP7t7RYTJzIGXH8mgvJLyrFN7vPY/1BrdShELmkMJUS7z0ah4qpMPwWltxZxtmr2HjsMofjks2VlJpQdsswhFsXEydyVuwJcyERgT6YdF8raFSsWkVkKyO6RKJ3q2B+C0tu7fnlf+LXw5cB/F2gZkQXlrEn21i2/Sy+/fM83hwcg96t2BtLroFJmAsJ9PXCK/dFSx0GkUs6dFEPpZcMLYIbIUylZPJFbkurNyDtZgIGsEw42ZbJJGLl7ixk6gpwOa9I6nCIGgyHIxIR1UIURUxfdxAJ87bgx78uSR0OkaQydQWoVJ/GXKCGqKF5eAj4/qWemP5AGyR1bCJ1OEQNhkmYi8kvMiJTV4D8IqPUoRC5jPziUoT4KaCUy9CjRZDU4RBJKkrti8pLhLFADdmSSinHc71bcG06cilMwlzMU1/sRr/3N+N/p65KHQqRy/D3luPzp7tg06t9oW7EOZfk3sJUSqQmxUEmlN8QewjAyG6RHIpIDY5FX8iVMQlzMUG+CjRSeKK4tEzqUIhcDtdGIio3oksktk3th6WjuiDEzxvLd57DX+evSx0WuZBTOTfQa84mTPhmH0pKTVKHQ9TgWJjDxSx6siM8ZcytiRqCscyEr3eew/AuEfDx4uWS6FYVBWp6tAjCrsxryC8qlTokciHbTl5BqUlEYUkpvDx5X0Ouh3cVLoYJGFHD+e7PC0j56QhWZZzHf1/pBUHgfASiyt4aEgNvuQzecpnUoZALGdUzCp2bBcLHi/+uyDUxCSMiqkZQIy9EBvpgRJcIJmBE1Wjs4yV1CORCtHoDMnUFiFL7IvYuldThENkMkzAXcyw7D8u2n0WQrwKvDmwtdThETm1gOw36twmBWLkeNxFZtfXkFRQZTUiICZU6FHJCqzOyMG3tQZhELgJOro9j11zMtRsl+Gb3efx6OFvqUIicllZvwPbTOmj1BshlHpyPQFQHPx+4hOQlu/Hm94dgKGFxKKofrd5gTsCAvxcBZ4VEclXsCXMxzYMbYXJCK9zVmKWCiW7H6owsTF1zECL4TSxRfSTEhKK52hd9W4eg1GQCwLk8VHeZugJzAlahYhFwLn9ArohJmIvRqLwxYUC01GEQOaWKb2Ir7gMqvont3SqYNwFEtVB4yrBhYm/2HNNtqVgE/NZEjIuAkyvjlZKI6KaavoklotoxAaPbVXkRcJkgYHZSLL8AI5fFnjAXlFdkhC6/GBqVN9c2IqoHfhNL1DC0egM+TD+Bl/q1RNMgX6nDIQeXrS/CrsyrGN45Ar1bBeOsrhDN1D5MwMil8SsrFzTsk+3o/8EW7Mu6LnUoRE6F38QSNYw3vz+Mb/+8gHd+OmIuckNUnffTjuOVVfvx5g+HEKZSIr5FEK+75PLYTeKCgnwV8FMUoZDVqYjq7FROPj7edBqTElph29R+/CaW6A5MTmiFM1duYNPxHGw8lsMiN1QtURQRpfZFI4UnHu3YROpwiOyGSZgLWj66Kzxl7OQkqo+5G44j7chlFJWW4eP/14nJF9EdCPCV4+zVAvMaeyxyQ9URBAEv9WuJp+Kbws9bLnU4RHZj0zv13NxcJCcnQ6VSQaVSITk5GdevX6/xGFEUkZKSgvDwcCiVSvTt2xeHDx+22Ke4uBgvv/wy1Go1fH19MXToUFy4cMH8/NmzZzF69GhERUVBqVSiRYsWePvtt1FSUmJxHkEQqvwsWrSowX5/qTABI6q/l/tHo1e0GpMTWkkdCpHTY5Ebqi8mYORubHq3PnLkSOzfvx8bNmzAhg0bsH//fiQnJ9d4zNy5czFv3jwsXLgQGRkZ0Gg0SEhIQH5+vnmfiRMnYt26dVi1ahW2bduGGzduYPDgwSgrKx9+d+zYMZhMJnz66ac4fPgwPvzwQyxatAjTp0+v8npLly6FVqs1/zz99NMN+yYQkVOIa6LC8tHd0DLET+pQiJxeRZGbW3kIYJEbMispNWH6uoM4lZNf+85ELshmwxGPHj2KDRs2YOfOnejWrRsA4LPPPkN8fDyOHz+O1q1bVzlGFEXMnz8fM2bMQFJSEgBg2bJlCA0NxcqVK/H8889Dr9djyZIlWL58Oe677z4AwIoVKxAREYHffvsNAwcOxKBBgzBo0CDzeZs3b47jx4/jk08+wfvvv2/xmo0bN4ZGo7HV2yCJv85fx8pdWYgIVGJ8f64ZRlQTURQhCELtOxJRnVUUuZm29qC5R2zoPeEcikhmX+86h5W7svD70cvY9np/yDmKh9yMzZKwHTt2QKVSmRMwAOjevTtUKhW2b99uNQnLzMxEdnY2EhMTzdsUCgX69OmD7du34/nnn8eePXtgNBot9gkPD0dsbCy2b9+OgQMHWo1Hr9cjMDCwyvbx48djzJgxiIqKwujRo/Hcc8/Bw8P6haC4uBjFxcXmx3l5eQAAo9EIo9FYyztiPxevFWD1n+fRPkKF53s1kzqcBlHx/jrS+0z144htWGYS8dTSP3Ff2xCM7BoBBdc4qpYjth/VnRTtl9Q+DPFRAfi/PRchkwl47t5m/Pdzm1zx89ezeQDuaxOMPq2CAVMZjCbXLSbmiu3nTurTfvVpY5slYdnZ2QgJCamyPSQkBNnZ2dUeAwChoaEW20NDQ3Hu3DnzPl5eXggICKiyT3XnPX36NBYsWIAPPvjAYvs///lPDBgwAEqlEr///jumTJkCnU6HN954w+p5UlNT8c4771TZnpaWBh8fxxlioSsCHogQEOx9DevXr5c6nAaVnp4udQh0hxypDffqBOw+K8Oh89fgpzsMH5YqqpUjtR/VnxTt1+Lmf9N+PWb313Y1rvb5GxIAiDlarF9/QOpQ7MLV2s/d1KX9CgvrPu+13rccKSkpVhORW2VkZACA1SE+dRn6U/n5uhxT3T6XLl3CoEGD8Nhjj2HMmDEWz92abLVv3x4AMHPmzGqTsGnTpmHy5Mnmx3l5eYiIiEBiYiL8/f1rjM/enpI6gAZmNBqRnp6OhIQEyOWcvOuMHLENE8tMaL3/EgBgWCeWRq6JI7Yf1Z2jtJ8oisgtNCLQ10uyGJyRo7Qf3R62n3OrT/tVjJKri3onYePHj8fjjz9e4z7NmjXDgQMHcPny5SrPXblypUpPV4WKuVnZ2dkICwszb8/JyTEfo9FoUFJSgtzcXIvesJycHPTo0cPifJcuXUK/fv0QHx+PxYsX1/q7de/eHXl5ebh8+bLVGBUKBRQKRZXtcrmcHyo74Xvt/BypDeVyYGT3KKnDcCqO1H5Uf1K235krN/CP/zuAMpOItS/2gEflyh1UK2f//Gn1Brz23QG00jTClMTW8PFyr+EHzt5+7q4u7Vef9q33v361Wg21Wl3rfvHx8dDr9di9eze6du0KANi1axf0en2VZKlCVFQUNBoN0tPT0aFDBwBASUkJtmzZgjlz5gAAOnXqBLlcjvT0dAwfPhwAoNVqcejQIcydO9d8rosXL6Jfv37o1KkTli5dWu08r1vt27cP3t7eaNy4ca37Ojp9oRG6gmLc1VgJb7lM6nCIHEpxaRm8ZB4syEFkR40UnjimzYMI4GTODbTWsBKpO1mdkYWpaw9CFIGtp3TwV8rxygAuCULuy2ZfQbRt2xaDBg3C2LFj8emnnwIAnnvuOQwePNiiKEebNm2QmpqKRx55BIIgYOLEiZg9ezaio6MRHR2N2bNnw8fHByNHjgQAqFQqjB49GlOmTEFQUBACAwPx6quvIi4uzlwt8dKlS+jbty8iIyPx/vvv48qVK+bXq+ht++mnn5CdnY34+HgolUps2rQJM2bMwHPPPWe1t8vZ3P/vP3BJX4TvX+qJ9hGNpQ6HyKF8mH4SO85cxdtDYtAxMqD2A4jojoX4e2PByA6ICVNBo/KWOhyyI63egGk3E7AK//ntFIZ3jmDFTHJbNu0H/vrrrzFhwgRzJcOhQ4di4cKFFvscP34cer3e/Pi1116DwWDAuHHjkJubi27duiEtLQ1+fn9/Y/bhhx/C09MTw4cPh8FgwIABA/Dll19CJivv8UlLS8OpU6dw6tQpNGliOc9DvHkFkMvl+PjjjzF58mSYTCY0b94cM2fOxEsvvWST98LeghopkF9UioLiUqlDIXIoZ3UF+HrXOeQXlSK3oKT2A4iowfRvY306Arm2mhbvZhJG7sqmSVhgYCBWrFhR4z6iaPmpFAQBKSkpSElJqfYYb29vLFiwAAsWLLD6/KhRozBq1KgaX7fyWmKuZt24HvDkmhtEFlZnZJnXLRIAXMkvrvUYIrKN01duQOHpgSYBjlNdmGwjuJECHgIsEjGZIHDxbnJrvEt3UUzAiCxVDIepuAkQAcxYdwhavUHSuIjc0ardWRj44R/4589HpA6F7ODTP85AfTMRA8oTsNlJsewFI7fmXmVpiMhtZV7hcBgiR9GxaQBEAKVlIoqMZSwg5cL0hUZsPn4FuhvFWJzcCX7ecjRT+/C6S26PSZiLyjh7Dd/9eR7RIX4Y27u51OEQSe6SlR4vDochkkarUD+kTeqNFsGNoNUbkKkrQJTalzfmLkjlI8fvU/pg8/EcJLbTSB0OkcNgEuaizl8rxLd/XkCvaDWTMCIAx7PzAZTPBRPB4TBEUmsR3MhinqaHAKQmxWFEl0ipQ6MGplLK8VD7u6QOg8ihMAlzUXc3UeHVxFZoGdJI6lCIHMKMB2PQv00oghp54eqNEg6HIZJY5XmaJhGYvvYQercK5mfTBeTkFeF8biE6NQ2UOhQih8QkzEW1DPHD+P5cCJPoVvEtgsr/h1WyiSTHsuWubfb6o/h+/yW8PqgNXuzbQupwiBwOS+gRkUvbeOwy18sjckBRal9ztbwKnKfpGspMIhSeMsg8BPRsGSR1OEQOiUmYC7teWIJTOTdQUmqSOhQiSZy8nI+xX+1B/w824xoXZiZyKGEqJVKT4iATyjMxztN0HTIPAXOG3Y3Nr/bF3U0aSx0OkUPicEQX1nvuJuQVleK3yX04N4zcUm6hEeGNvdFW449AXy+pwyGiSkZ0iUTvVsE4qys0z9M0mUR4VO4iI6cUEcheTaLqsCfMhakbKeDn7YkbHIpFbqprVCDSJ/VBalKc1KEQUTXCVErEtwhCmEqJ7ad1SJz/Bw5f0ksdFt0Grd6AlB8PQ19olDoUIofHnjAXljapNzxlzLPJvXnLZVwIlshJfL0zC6dybuDD9BP4/OkuUodD9aDVGzBx1X7syryGC7mFbD+iWjAJc2FMwMhd/fjXJTRSyNCvdQgEgcOaiJzF20NiEOrvjYkJ0VKHQvVw63pvABAT7i9tQEROgHfpRORSrheW4K0fDuHZL//Eb0dzpA6HiOohxN8bbw2Jgb+3XOpQqI4qr/cGAB9tPA2t3iBdUEROgEmYC9t2UofX/u8vLN95TupQiOxCqzdgb1YuHrw7DHc3UaFf62CpQyKiO3DkUh5EUax9R5JMTeu9EVH1OBzRhZ3R3cC3f15AflEpkrs3lTocIpu6dTiMhwC8+3Ash+QSOSlRFDHj+0NYuSsLn/y/jrg/LkzqkKgauhvFVbZxvTei2vEOxYV1ahqAfwxsjWGdmkgdCpFNVR4OYxKBN78/zOEwRE5KEASoby4rcVSbJ3E0VJPv910CAFTMvuV6b0R1w54wF9YuXIV24SqpwyCyuZqGw/BGgMg5jevXEv3ahKBDZAC0egMydQWIUvvyM+1gPnmyIz7fmolB7TTIyS82r/dGRDVjEkZETi8ioOoffA6HIXJu3nIZOkQGVBlqnJoUhxFdIqUOj25SeMrwUr+WAIAWIY0kjobIeXA4ogsTRRG5BSU4lZOPssrdBEQuJCLQF68MiOZwGCIXY22o8fS1hzjUWGJ5RUb8fOASi6YQ3QH2hLkwUQQ6z/oNZSYRO6cNgEblLXVIRDYzKaEVHu8agbO6Qg6HIXIRHGrsmN79+Qi+/fMC9va8jreGxEgdDpFTYhLmwjw8BAT6eqHYWIb8IiOTMHI5JpOIa4UlUDdSAADCVEremBG5kCi1LzwEWCRiHGosLVEU0STAB16eHrg/TiN1OEROi8MRXdyOqf1xIGUgokP9pA6FqMGt3J2Ffu9vxrd/npc6FCKygTCVEqlJcZAJ5YONOdRYeoIgYMKAaGx7vR+6NAuUOhwip8WeMBfHdZLIVYmiiF8PZyO/qBSFxaVSh0NENjKiSyR6twq2GGp8Jb8Ygb5ekHkItZ+AGowoihBuJsQhfhxdQ3QneIdORE5JEAR8+UxXfDjiHiTHN5M6HCKyoTCVEvEtghCmUiL9yGUkfLgFn209I3VYbmV1xnk89NH/8Nf5XKlDIXIJTMJc3O9HL+Mf3/2F7zhci1yQzEPAIx2a8NtwIjdyraAY1wuN+PVwNiv/2snKXefw+poDOHBBj4c/2o7VGVlSh0Tk9Dgc0cUdv5yP7/ZcgAjgsc4RUodDdMeKjGX47yEtHrrnLngw+SJyO8M7R0Au88Dgu8P5BYwdaPUGvPH9IfNjEeXLBPRuFcy5eUR3gD1hLq578yD8Y2BrDL0nXOpQiBrEJ5tPY9LqvzD+m71Sh0JEEhAEAUkdm8DLk7cw9lDTMgFEdPvYE+biOkYGoGNkgNRhEN0xrd6ATF0BPGUCfL1keDCOXywQuTtRFPHdnxfQ2EeOxHYsl97Qdp25CgHgMgFENsAkjIgc3uqMLExbexAmsfxmYPoDbfEA16chcnvf77+I19YcgL+3J94zmdAhMoBD5BrIxesGvLBiD0pKTXixb0ss2nwaZaLIZQKIGohN+/Jzc3ORnJwMlUoFlUqF5ORkXL9+vcZjRFFESkoKwsPDoVQq0bdvXxw+fNhin+LiYrz88stQq9Xw9fXF0KFDceHCBYt9mjVrBkEQLH6mTp1qsU9WVhaGDBkCX19fqNVqTJgwASUlJQ3yuzsKURSRW1CCUzn5EEVOYCbno9UbzAkYUP5tbOr6Y8jOK5I2MCKS3INx4YgMVCK/qBTjvt6Hnu9tZNGIBuIl80BrjR+aBzfCy/1bYtvUfvhmbHdsm9oPI7pESh0ekdOzaRI2cuRI7N+/Hxs2bMCGDRuwf/9+JCcn13jM3LlzMW/ePCxcuBAZGRnQaDRISEhAfn6+eZ+JEydi3bp1WLVqFbZt24YbN25g8ODBKCsrszjXzJkzodVqzT9vvPGG+bmysjI8+OCDKCgowLZt27Bq1SqsWbMGU6ZMadg3QWIGYxk6/DMd9837AwUlZbUfQORgOB+BiKpztaAYF3INqLhEmMTyohFavUHSuFxBsJ8CK0Z3w5fPdIG3XGaxTAAR3TmbDUc8evQoNmzYgJ07d6Jbt24AgM8++wzx8fE4fvw4WrduXeUYURQxf/58zJgxA0lJSQCAZcuWITQ0FCtXrsTzzz8PvV6PJUuWYPny5bjvvvsAACtWrEBERAR+++03DBw40Hw+Pz8/aDTWhyylpaXhyJEjOH/+PMLDy+eWfPDBBxg1ahRmzZoFf3//Bn0/pOLj5QlfLxnknh7QG4xopOAIVHIuUWrfKts4H4GIgJq/pGGycHtyC0oQ4OsFAPCUeSCokULiiIhck816wnbs2AGVSmVOwACge/fuUKlU2L59u9VjMjMzkZ2djcTERPM2hUKBPn36mI/Zs2cPjEajxT7h4eGIjY2tct45c+YgKCgI7du3x6xZsyyGGu7YsQOxsbHmBAwABg4ciOLiYuzZs+fOfnkH89fbidj/ViLuasw/SOR8wlRKTH+grfkx5yMQUYUotS+sVam/UWy0fzAu4PAlPe6dsxGfbz3DKQxENmazbpHs7GyEhIRU2R4SEoLs7OxqjwGA0NBQi+2hoaE4d+6ceR8vLy8EBARU2efW877yyivo2LEjAgICsHv3bkybNg2ZmZn4/PPPzeep/DoBAQHw8vKqNr7i4mIUFxebH+fl5QEAjEYjjEbHvuAbTc49FLHi/XX095mqdydt+Ex8BAbFBCPrWiEiA30QpvLmvwU742fQublq+6l9PPHuQzF444cj5h4xuUyAaDK51O9qr/b7Yd8FFJSUYevJK0ju2oRrMTYQV/38uYv6tF992rjeSVhKSgreeeedGvfJyMgAUL6WR2WiKFrdfqvKz9flmMr7TJo0yfz/d999NwICAjBs2DBz79jtxJeammr1d09LS4OPD4dG2UN6errUIdAdqmsbmkQgxwBoKn20rgLY1/BhUR3xM+jcXLH9fAG83QG4UiTA30tEmQkwnM7A+tNSR9bwbNV+14vL379whYgnWgi4W5WNDRv+a5PXcmeu+PlzJ3Vpv8LCus9Xr3cSNn78eDz++OM17tOsWTMcOHAAly9frvLclStXqvRAVaiYv5WdnY2wsDDz9pycHPMxGo0GJSUlyM3NtegNy8nJQY8ePaqNqXv37gCAU6dOISgoCBqNBrt27bLYJzc3F0ajsdr4pk2bhsmTJ5sf5+XlISIiAomJiQ49h+y/h7Kx+YQOvaPVeNBJy3objUakp6cjISEBcrlc6nDoNtS3DRdvzcT8jFP4R2IrPNOjqR0ipJrwM+jc3LX98otK4eMlg8zJe3Rs2X7f7bmAd272JHoIwLsPxWBYpyYN+hruzl0/f66iPu1XMUquLuqdhKnVaqjV6lr3i4+Ph16vx+7du9G1a1cAwK5du6DX66tNlqKioqDRaJCeno4OHToAAEpKSrBlyxbMmTMHANCpUyfI5XKkp6dj+PDhAACtVotDhw5h7ty51cazb1/5d+cVyV18fDxmzZoFrVZr3paWlgaFQoFOnTpZPYdCoYBCUXWCqlwud+gP1bHLBVi77xL8lV54uGOE1OHcEUd/r6l2dWlDURRx/HIBjGUiVD5ebHMHws+gc3On9su6Wohnl2WgV7Qabw9pJ3U4DaKh20+rN2DG90csqku++cNR9Gur4bxbG3Cnz58rqkv71ad9bTYnrG3bthg0aBDGjh2LTz/9FADw3HPPYfDgwRaVEdu0aYPU1FQ88sgjEAQBEydOxOzZsxEdHY3o6GjMnj0bPj4+GDlyJABApVJh9OjRmDJlCoKCghAYGIhXX30VcXFx5mqJO3bswM6dO9GvXz+oVCpkZGRg0qRJGDp0KCIjy9e2SExMRExMDJKTk/Gvf/0L165dw6uvvoqxY8c6dK/W7ejdKhiNvD3RPqKx1KEQ1YkgCPj34+0xvHMEerYMkjocInJCR7R6nMq5gfwiI17uH43AmxX/6G/7s66jcvkNVpcksg+b1iv/+uuvMWHCBHMlw6FDh2LhwoUW+xw/fhx6vd78+LXXXoPBYMC4ceOQm5uLbt26IS0tDX5+fuZ9PvzwQ3h6emL48OEwGAwYMGAAvvzyS8hkMgDlPVarV6/GO++8g+LiYjRt2hRjx47Fa6+9Zj6HTCbDL7/8gnHjxqFnz55QKpUYOXIk3n//fVu+JZLo3jwI3ZvzRpaciyAIuDe69l53IiJrBsWGYe6wu9E7OhiBvl7Q6g3I1BUgSu3LBOOm9pGNIQAWiRiXACGyD5smYYGBgVixYkWN+1QugSoIAlJSUpCSklLtMd7e3liwYAEWLFhg9fmOHTti586dtcYXGRmJn3/+udb9iMg+/jx7Db8fy8HE+6Kh8JRJHQ4RObnhncuH4K/OyMK0tQfN855Sk+IwokukxNFJL0ylxHuPxmH62kMoE0UuAUJkR1y51w2YTCJyC0uQW2hEy5BGUodDVIVWb8CJy/mYvvYgLl4vgqeHgCmJVRd0JyKqL63eYE7AgPJ5T9PXHkLvVsFumWwcuqjHvPQT+HBEe6iUcozoEonerYJxVleIZmoft3xPiKTAJMwN6AqK0XXW7xAE4NSsB5y+ShS5llu/oRYA3NVYibG9m0sdFhG5iExdgTkBq+Cu857KTCImfLMPZ3QFmLvhGGY9EgegvEfM3d4LIql5SB0A2V6gjxc8BECllCPPwIUCyXFU/oZaBJCtN6CguFTSuIjIdUSpfVH5u0d3nfck8xCwcGRH9GsdjNfvbyN1OERujUmYG/CUeeDEu/dj/1uJCGB1KHIg1r+hBs7q6r7YIRFRTcJUSqQmxUEmlGdit857ulZQInF0tqfVG7D9tA5avQEAEBPuj6XPdIW/N0ulE0mJwxHdhKeM+TY5njD/qsNf3PUbaiKyHWvznr778zxm/nQEi5/qjPgWrllBmAVJiBwX78yJSDoC0Fj597exrMxFRLYSplIivkUQwlRKiKKIH/+6hPziUmw5cUXq0GzCekGSg+YeMSKSFnvC3MT3+y5i60kdBsVqkBATKnU4RADK52psfLUv/jp/Hd5yGStzEZFdCIKAz57qjO/+PI8nuzeVOhybqGm4N6+zRNJjEuYm9mXlYs3eCwhTeTMJI8mZTCI8bs6UD/T1Qr82IRJHRETuxlsuQ3J8M/NjURTx84FLCGqkcOoFnUVRxF8X9OaCJLcmYhzuTeQ4mIS5iftiQqFRKdGlWYDUoZCb0+qLMPqrvXh7SDvcG62WOhwiIoiiiKeW7MbWUzoAzjt/qri0DBO+2YffjuZgxehuSE3iQsxEjopJmJvoFR2MXtHBUodBhI82n8bJnBt4b8NR/NjiXnOPGBGRVLR6A7bdTMAA513Q2UvmAV8vT8gEAVq9gQsxEzkwJmFEZFdvPNAG3nJPjL63ORMwInIIZ68WotL0KZSJIvZlXUdoO2+HvVZp9QZk6grQLMgH4Y19IAgCZj0Sh2fvjULsXSoAXIiZyFExCXMTJpOIa4Ul0BuMaBHcSOpwyM1o9Qacys7D9eLyeRjvPBQrdUhERGbW5k95CMB764/iqx1nMX9EB2hU3tIFaMWt5ecFAO89Wj58UuklMydgROS4WKLeTZy7VojO7/6GB/+zleVpya5WZ2Shx3sbkbz0T6TsleG7PRekDomIyIK1BZ2f790cV26UIFNXAKVcZt638uLHUqhcfl4EMI3l54mcCnvC3MSWEzkAgCKjCT3f2+iUE47J+VTcKIjmGwUBb/xwBP3aajg8hogcirX5U090bYrL+UVQ+ZSvZ+gIix9n64uslp83sfw8kVNhT5gb0OoNmPnTEfPjignH/MaMbK2mGwUiIkdz64LOABAZ5IMuzQIBlP8tnVpl8WP7/S0tLAWeXbYHAz7YjAAfL1Sepsby80TOhUmYG7C+YKPIG2GyuYp5FrfyEMAbBSJyOpm6AnOvfoWKv6XGMlODv17lYY9KGXCtsATFpSac1RVUGT7J8vNEzoXDEd0AF2wkeysyluHrXVkY1aOZxTo1AkS8+1A73igQkdOp7m9pmUlEl1m/YVjHJpjxYFsIN8vDZ+oKalz0uaZ9VmdkYeqagxBR/sXVuw/FwFcAZj3UDoGNlIgMKv/7zfLzRM6LSZgbqJhwfGsVJX5jRrYiiiImf7sf6w9m46g2D+8/dg96twrG6ct5OL1/Jx7r1ETqEImI6q3ib2nlxY93Z17F9UIjzucWQhCEKvPGZj8Sh8e7Ws4bq7zPc72bo1tUEPq1Cfl7Lu3NfU0i8MYPR/B2B+CBcH/I5XKLmPi3nMg5MQlzEyO6RKKkzIQ3vz+MtmH+LMpBNiMIAobeE46tJ3RI6ngXgPIbBbWPJ64elTg4IqI7YK14R5lJRMemAQjw8apStdAkAjPWHUSf1uWLPi/achq/Hc3GnrPXLZKsRVvO4Oe/LmHb1AHVzqW9UuSYa5UR0e1hEuZGBrQJhT7RyPVDyOYGxYahe/MgNPbxkjoUIqIGVbn3SeYhoG/rEADA9tM6K3Ow/65aeOiiHn+evW71vBqVEsYyU7VrlgV7V15OmoicGQtzuJHwxkqM7x9t/mNB1JBWZ2Qhr8hofswEjIjcjbViRLfOwR7bqzneHtLW6j4LRnaAXOZhdc2ydx+KQWOFPX4DIrIX9oQR0R3R6g34eNNpLN95Dst3nsOaF3tA4Smr/UAiIhdT3byxip6zeyIa456IxvDx8qx2H6DqsEe1jyfWrz8g1a9FRDbAJMzNGErKcOJyPmQeAocl0h27dXI5ADQJ8GECRkRuzdq8sdvZ59Zhj0ajscrzROTcOBzRzXy96xwe+uh/+GjTKalDISdXeQI6AKQfvsxFwInI7VVe9Pl29yEi18UkzM200fgjyNcLjRTsBKXbV1pmwsyfjnARcCIiIqLbwDtxN9OzZRD2vJkgdRjk5D787QT+eyi7ynYuAk5ERERUO/aEuRlB4DojdOfG9mqOduH+eKp7U4sKXlwEnIiIiKh27AkjojrRFxqh8pEDKC8//9P4e+HhIeDFfi1qnFxORERERJbYE+aGfjmgxSMf/w9zNxyTOhRycFq9AdtP6/BtxnncO2cjNh3LMT/ncXOhG04uJyIiIqof9oS5oYKSUuzLug5vlhKnGlQuP1++7Tz6teFi30RERER3wqY9Ybm5uUhOToZKpYJKpUJycjKuX79e4zGiKCIlJQXh4eFQKpXo27cvDh8+bLFPcXExXn75ZajVavj6+mLo0KG4cOGC+fnNmzdDEASrPxkZGeb9rD2/aNGiBn0PHNG9LdVY8EQHzHokVupQyEFZKz8vCMD0B9tIFxQRERGRi7BpEjZy5Ejs378fGzZswIYNG7B//34kJyfXeMzcuXMxb948LFy4EBkZGdBoNEhISEB+fr55n4kTJ2LdunVYtWoVtm3bhhs3bmDw4MEoKysDAPTo0QNardbiZ8yYMWjWrBk6d+5s8XpLly612O/pp59u+DfCwYQ3VmLIPeFoHtxI6lDIQW04lF2l/LwoAhdzi6QJiIiIiMiF2Gw44tGjR7Fhwwbs3LkT3bp1AwB89tlniI+Px/Hjx9G6desqx4iiiPnz52PGjBlISkoCACxbtgyhoaFYuXIlnn/+eej1eixZsgTLly/HfffdBwBYsWIFIiIi8Ntvv2HgwIHw8vKCRqMxn9doNOLHH3/E+PHjq1QHbNy4scW+RO7uSn4xZq8/WmU7y88TERERNQybJWE7duyASqUyJ2AA0L17d6hUKmzfvt1qEpaZmYns7GwkJiaatykUCvTp0wfbt2/H888/jz179sBoNFrsEx4ejtjYWGzfvh0DBw6sct4ff/wROp0Oo0aNqvLc+PHjMWbMGERFRWH06NF47rnn4OFhvYOwuLgYxcXF5sd5eXkAypM8o9FY+5viQC5eN2Bv1nWE+ivQtVmg1OHUquL9dbb32Rk19vbAuD7NsfWUDvvP62ESAQ8B+OdDbaH28bztNmAbOje2n3Nj+zk3tp9zY/s5t/q0X33a2GZJWHZ2NkJCqk7gDwkJQXZ21UVeK44BgNDQUIvtoaGhOHfunHkfLy8vBAQEVNmnuvMuWbIEAwcOREREhMX2f/7znxgwYACUSiV+//13TJkyBTqdDm+88YbV86SmpuKdd96psj0tLQ0+Ps7VQ/DrBQHrz8vQRW3Ck9EmqcOps/T0dKlDcBnXi4ErRQL8vUTsvOyBPmEmNFaUPxclAs3vAh5Sl+8T7C3C9/IBrF9/4I5fl23o3Nh+zo3t59zYfs6N7efc6tJ+hYWFdT5fvZOwlJQUq4nIrSqKX1hbGFgUxVoXDK78fF2OqW6fCxcu4Ndff8W3335b5blbk6327dsDAGbOnFltEjZt2jRMnjzZ/DgvLw8RERFITEyEv79/jfE5mkYndcjefAa9W6nxQJ/mUodTK6PRiPT0dCQkJEAul0sdjtP7bs8FvPPDEYt5X2WNQvDZwx1stqA329C5sf2cG9vPubH9nBvbz7nVp/0qRsnVRb2TsPHjx+Pxxx+vcZ9mzZrhwIEDuHz5cpXnrly5UqWnq0LF3Kzs7GyEhYWZt+fk5JiP0Wg0KCkpQW5urkVvWE5ODnr06FHlnEuXLkVQUBCGDh1a6+/WvXt35OXl4fLly1ZjVCgUUCgUVbbL5XKn+1ANiAnDgJiw2nd0MM74Xjsard6ANyolYADwSMcm8PLysvnrsw2dG9vPubH9nBvbz7mx/ZxbXdqvPu1b7+qIarUabdq0qfHH29sb8fHx0Ov12L17t/nYXbt2Qa/XW02WACAqKgoajcaiu6+kpARbtmwxH9OpUyfI5XKLfbRaLQ4dOlTlvKIoYunSpXjqqafq9Kbs27cP3t7eaNy4cX3eEiKncfrKDUz59q8qCRgAhPp72z8gIiIiIjdkszlhbdu2xaBBgzB27Fh8+umnAIDnnnsOgwcPtijK0aZNG6SmpuKRRx6BIAiYOHEiZs+ejejoaERHR2P27Nnw8fHByJEjAQAqlQqjR4/GlClTEBQUhMDAQLz66quIi4szV0ussHHjRmRmZmL06NFV4vvpp5+QnZ2N+Ph4KJVKbNq0CTNmzMBzzz1ntbfLVYmiiFKTCLnMpqsVkJ1p9QZk6goQpfZFmEpp3n4iOx/bT1+tsj8rHxIRERHZj82SMAD4+uuvMWHCBHMlw6FDh2LhwoUW+xw/fhx6vd78+LXXXoPBYMC4ceOQm5uLbt26IS0tDX5+fuZ9PvzwQ3h6emL48OEwGAwYMGAAvvzyS8hkMotzL1myBD169EDbtm2rxCaXy/Hxxx9j8uTJMJlMaN68OWbOnImXXnqpId8Ch/b51jP4ePNpPNE1Av8YyEV4XcXqjCzzQsuCAIzt1RzTHyj/DAxsp8EzPZvBT+GJjzadRpkoQiYImJ0Ua5GsEREREZHt2DQJCwwMxIoVK2rcRxQtx0UJgoCUlBSkpKRUe4y3tzcWLFiABQsW1HjulStXVvvcoEGDMGjQoBqPd3Venh64VlCCY9r82ncmp6DVG8wJGFC+wPLiP87g6fimuCvABx4eAt4e0g4A8ES3SJzVFaKZ2ocJGBEREZEd2TQJI8c2KFaDDhEBiA5tJHUoVE+VhxsaSsqw+XgOLucXWZ3vdfzyDdwVYDncMEylZPJFREREJAEmYW4sxM8bIX4sxuBsbh1u6CEAqUlxyLpWiI82nUbf1sHwEGCRiMkEAW3D/Ko/IRERERHZFasxEDkYrd6A7ad10OoNVp+buubv4YYmEZi+9hC6NAvEXY2VuLtJY6QmxUF2c60vzvciIiIicjzsCXNze7Nyse2kDu0jGqN3q2Cpw3F7lXu5nukZhchAHzzdoxkAIFNXgMqjDctEEQpPD2x7vZ95oeXerYI534uIiIjIQTEJc3PpRy7jk82n8f+6RTIJs4PqSsdfKyjB1pNXMHXtQYi39HIt2ZYJAHi4w11QKeWIUvtCACwSsfLy8r7mBAzgfC8iIiIiR8YkzM11bx6Ey3lF6NY8SOpQnF51CVYFi9LxAP75cCye7N4UALBi5znMSz9h9bz3tlSjoLgUKqUcYSol3ns0DtPXHmJ5eSIiIiInxSTMzfVpFYw+7AG7Y9aKZfRoocaWE1fgr5SjS7MAy9LxAN764RAGtA1BmEqJNho/RAQocSHXUKWX61+P3W2RZI3oEsnhhkREREROjIU5iOqg1mIZa6sWy9h47DLe+P4Qvtp+Fpm6giql400icFZXCABIbKfB1tf7471H61ZUI0ylRHyLICZgRERERE6IPWEEANAbjIAIqHzkUoficCr3cr02qA06RDQ2D+HM1BWg0prjKBNF+Crk6Nc6GB0iAxCl9rVaOr6Z2nLtLvZyEREREbk+9oQRUn48jHveScPynWelDsXhaPUGi2GEJhF477/H8MKKvRBvZl4VxTJuJRME9GwZhKXPdMWEAdEIUynrXDqevVxEREREro09YQSNqnzB5kv6IokjcSx/nb+OeenHqwwjBIBAHzn0BiMa+3jVuVgGe7mIiIiICGASRgCe6BqJJ7pGQqV036GIFZUNmwX5ILxx+RDBjLPXsOWErsq+HgKwYmw3NPbxMm+ra4LF0vFERERExCSM3Dr5AoBVu8vnfIkABAF4LykOI7pEYug94TiVcwMqpRyfb82stSQ8EywiIiIiqgsmYeTWtHoDpq87aC4LL96sbNi7VfDNYYZ3AwBG9WzGYYRERERE1CBYmIMAAL8c0GLyt/vx+9HLUodic2UmEWv3XkBuQYnV0vFlomguHV+BxTKIiIiIqKEwCSMA5fOf1u69iB2nr0odSoOrvMbX5G/3Y/K3f+GjTafMpeNvZa10PBERERFRQ+FwRAIAJMSEItDXCz1bBkkdSoOqvMZXalIcHulwFzYey4FG5W0uHV9bZUMiIiIioobCJIwAAD1bqtGzpVrqMBqUtTW+pq89hK2v98X/pvaHv3d5QRKWjiciIiIie2ISRi6ruvle564aEN/CcrghKxsSERERkb1wThiZFRnLcPCCHtkusmgz53sRERERkSNiEkZmr6zahyELt+HnA5ekDuW2nb5yAx+mn4Aoiub5XjKhPBPjfC8iIiIicgQcjkhmbTT+2HXmGk5fuQGt3uB0yYq+0IiHP/of8otK0TTIB0kdm3C+FxERERE5HPaEkVmovwJ5RUZ8s/s8er63EaszsqQOqVa3lp9X+cjxQp8WiG8eZFFkhGt8EREREZEjYU8YAShPZt74/lCVSoK9WwU7bPKyOiMLU9cehHhL+fkX+rTAC31aQFZ5MhgRERERkYNgTxgBqL6S4FldoTQB1UKrN2DqmvIEDPg7aczJL2ICRkREREQOjUkYAbBeSdBDgMNWEszUFaBSzujQSSMRERERUQUmYQQA5kqCtyZiY+5t7rBDEVl+noiIiIicFeeEkVlFJcHfjlxGx6YBaBeukjokC8VlwD/+7yAmJbZG0yBfpCbFYfraQygTRZafJyIiIiKnwSSMLISplEiObyZ1GFatyfTAritaHM8pwC8v38vy80RERETklJiEUY0u5xUhxE8BQbB/sQut3oBMXQGi1L5Q+3hicKQJBq/GeOehWHjcHIsYplIy+SIiIiIip2LTOWG5ublITk6GSqWCSqVCcnIyrl+/XuMxoigiJSUF4eHhUCqV6Nu3Lw4fPmyxz+LFi9G3b1/4+/tDEASr56zLa2dlZWHIkCHw9fWFWq3GhAkTUFJScoe/tet464dD6PneRmw9qbP7a6/OyELP9zZi5Ge70PO9jfhuzwX4ewH/93w3dIgMsHs8REREREQNxaZJ2MiRI7F//35s2LABGzZswP79+5GcnFzjMXPnzsW8efOwcOFCZGRkQKPRICEhAfn5+eZ9CgsLMWjQIEyfPv22X7usrAwPPvggCgoKsG3bNqxatQpr1qzBlClT7vwXdxEyDwGlJhH/O2XfJEyrN2Da2oMWa5a98cMRXC+GJD1yREREREQNyWbDEY8ePYoNGzZg586d6NatGwDgs88+Q3x8PI4fP47WrVtXOUYURcyfPx8zZsxAUlISAGDZsmUIDQ3FypUr8fzzzwMAJk6cCADYvHnzbb92Wloajhw5gvPnzyM8PBwA8MEHH2DUqFGYNWsW/P39G/LtcErP926Bh9vfhXsiGtv1da2tWWYSgStFTMCIiIiIyPnZLAnbsWMHVCqVOQkCgO7du0OlUmH79u1Wk7DMzExkZ2cjMTHRvE2hUKBPnz7Yvn27OQlriNfesWMHYmNjzQkYAAwcOBDFxcXYs2cP+vXrV+W8xcXFKC4uNj/Oy8sDABiNRhiNxjrF5kyCfGQI8vG1++/WRKWAhwCLRMxDAIK9RZd8n91FRduxDZ0T28+5sf2cG9vPubH9nFt92q8+bWyzJCw7OxshISFVtoeEhCA7O7vaYwAgNDTUYntoaCjOnTvXoK+dnZ1d5XUCAgLg5eVVbXypqal45513qmxPS0uDj49rr09lNAElZYCv3HavUVwGHM4V0FEtYniUgNVnPCBCgAARw6NMaKwA0tPTbRcA2QXb0Lmx/Zwb28+5sf2cG9vPudWl/QoLC+t8vnonYSkpKVYTkVtlZGQAsD5/RxTFWuf1VH6+LsfUdg5r56lvfNOmTcPkyZPNj/Py8hAREYHExESXHr644fBlvPfzUSS0DcHMB2Js8hrFxjKM/CIDBy7koXW7dvjnA3dhnL4IWdcKERnoA7WPDOnp6UhISIBcbsNMkGzGaDSyDZ0Y28+5sf2cG9vPubH9nFt92q9ilFxd1DsJGz9+PB5//PEa92nWrBkOHDiAy5cvV3nuypUrVXqgKmg0GgDlvVRhYWHm7Tk5OdUeU915anttjUaDXbt2WTyfm5sLo9FY7WspFAooFIoq2+VyuUt/qIL9ldDdKMGuzFwIHjJ4yhq+notcLkev6GCcv2ZA6zB/yOVyRKrliFT7Afi7e9fV32t3wDZ0bmw/58b2c25sP+fG9nNudWm/+rRvvZMwtVoNtVpd637x8fHQ6/XYvXs3unbtCgDYtWsX9Ho9evToYfWYqKgoaDQapKeno0OHDgCAkpISbNmyBXPmzKlzjHV57fj4eMyaNQtardac8KWlpUGhUKBTp051fi130C0qEJ891Rl9Wwc3WAJ26xpgFet8vZrYGsndm0Gj8m6Q1yAiIiIickQ2mxPWtm1bDBo0CGPHjsWnn34KAHjuuecwePBgi6Icbdq0QWpqKh555BEIgoCJEydi9uzZiI6ORnR0NGbPng0fHx+MHDnSfEx2djays7Nx6tQpAMDBgwfh5+eHyMhIBAYG1um1ExMTERMTg+TkZPzrX//CtWvX8Oqrr2Ls2LEuPbTwdgiCgISYuvdE1mZ1RpZFCfrUpDg80TUSgiAwASMiIiIil2fTdcK+/vprxMXFITExEYmJibj77ruxfPlyi32OHz8OvV5vfvzaa69h4sSJGDduHDp37oyLFy8iLS0Nfn5+5n0WLVqEDh06YOzYsQCA3r17o0OHDvjxxx/r/NoymQy//PILvL290bNnTwwfPhwPP/ww3n//fVu9HS5BFEXk5Bfd9vGV1wADgOnrDkKrNzRAdEREREREjs9mPWEAEBgYiBUrVtS4jyhaLgglCAJSUlKQkpJS7TG1PV/X146MjMTPP/9c4z70t/PXCjFh1T5cuGbAB8PvQXRoI/NQwrqytgaYKAJndYX1PhcRERERkTOyaU8YuZYQfwVOXb6BKzeK8dQXu9HzvY1YnZFVp2P/On8djy3ajtIyER6Vik/KBAHN1K5d4p+IiIiIqAKTMKqzawUluFFSan5sEoFpaw9i+c6zyCuyXJxOqzdg+2mdeZjh4q1nkHE2F19uP4vUpDjIbi4DIBMEzE6KZS8YEREREbkNmw5HJNeSqStApdGjMInAm98fxpFLeUhNuhuAZeEND6G88MbUQW3gI5fh1YGtEervjd6tgnFWV4hmah8mYERERETkVtgTRnUWpfatMpRQABAZqET/NuXVEysX3jCJwPS1h+ApE/Cvx+5BqH959cMwlRLxLYKYgBERERGR22ESRnUWplJWGUr43qNx+OO1/rivbQgA64U3ykQRZ3WF9g6XiIiIiMghcTgi1cuILpFWhxIKNxOzit6yWxMxFt4gIiIiIvobe8Ko3moaSmitt4yFN4iIiIiI/saeMGpw1fWWERERERERkzCykTCVkskXEREREZEVHI5IRERERERkR0zCiIiIiIiI7IhJGBERERERkR0xCSMiIiIiIrIjJmFERERERER2xCSMiIiIiIjIjpiEERERERER2RGTMCIiIiIiIjviYs13QBRFAEBeXp7Ekbg+o9GIwsJC5OXlQS6XSx0O3Qa2oXNj+zk3tp9zY/s5N7afc6tP+1XkBBU5Qk2YhN2B/Px8AEBERITEkRARERERkSPIz8+HSqWqcR9BrEuqRlaZTCZcunQJfn5+EARB6nBcWl5eHiIiInD+/Hn4+/tLHQ7dBrahc2P7OTe2n3Nj+zk3tp9zq0/7iaKI/Px8hIeHw8Oj5llf7Am7Ax4eHmjSpInUYbgVf39/XsCcHNvQubH9nBvbz7mx/Zwb28+51bX9ausBq8DCHERERERERHbEJIyIiIiIiMiOmISRU1AoFHj77behUCikDoVuE9vQubH9nBvbz7mx/Zwb28+52ar9WJiDiIiIiIjIjtgTRkREREREZEdMwoiIiIiIiOyISRgREREREZEdMQkjIiIiIiKyIyZh5NBSU1PRpUsX+Pn5ISQkBA8//DCOHz8udVh0m1JTUyEIAiZOnCh1KFRHFy9exJNPPomgoCD4+Pigffv22LNnj9RhUR2UlpbijTfeQFRUFJRKJZo3b46ZM2fCZDJJHRpV448//sCQIUMQHh4OQRDw/fffWzwviiJSUlIQHh4OpVKJvn374vDhw9IES1XU1H5GoxGvv/464uLi4Ovri/DwcDz11FO4dOmSdAGThdo+f7d6/vnnIQgC5s+ff9uvxySMHNqWLVvw0ksvYefOnUhPT0dpaSkSExNRUFAgdWhUTxkZGVi8eDHuvvtuqUOhOsrNzUXPnj0hl8vx3//+F0eOHMEHH3yAxo0bSx0a1cGcOXOwaNEiLFy4EEePHsXcuXPxr3/9CwsWLJA6NKpGQUEB7rnnHixcuNDq83PnzsW8efOwcOFCZGRkQKPRICEhAfn5+XaOlKypqf0KCwuxd+9evPnmm9i7dy/Wrl2LEydOYOjQoRJEStbU9vmr8P3332PXrl0IDw+/o9djiXpyKleuXEFISAi2bNmC3r17Sx0O1dGNGzfQsWNHfPzxx3j33XfRvn37O/r2iOxj6tSp+N///oetW7dKHQrdhsGDByM0NBRLliwxb3v00Ufh4+OD5cuXSxgZ1YUgCFi3bh0efvhhAOW9YOHh4Zg4cSJef/11AEBxcTFCQ0MxZ84cPP/88xJGS5VVbj9rMjIy0LVrV5w7dw6RkZH2C45qVV37Xbx4Ed26dcOvv/6KBx98EBMnTrzt0T3sCSOnotfrAQCBgYESR0L18dJLL+HBBx/EfffdJ3UoVA8//vgjOnfujMceewwhISHo0KEDPvvsM6nDojq699578fvvv+PEiRMAgL/++gvbtm3DAw88IHFkdDsyMzORnZ2NxMRE8zaFQoE+ffpg+/btEkZGt0uv10MQBI4ucBImkwnJycn4xz/+gXbt2t3x+TwbICYiuxBFEZMnT8a9996L2NhYqcOhOlq1ahX27t2LjIwMqUOhejpz5gw++eQTTJ48GdOnT8fu3bsxYcIEKBQKPPXUU1KHR7V4/fXXodfr0aZNG8hkMpSVlWHWrFl44oknpA6NbkN2djYAIDQ01GJ7aGgozp07J0VIdAeKioowdepUjBw5Ev7+/lKHQ3UwZ84ceHp6YsKECQ1yPiZh5DTGjx+PAwcOYNu2bVKHQnV0/vx5vPLKK0hLS4O3t7fU4VA9mUwmdO7cGbNnzwYAdOjQAYcPH8Ynn3zCJMwJrF69GitWrMDKlSvRrl077N+/HxMnTkR4eDiefvppqcOj2yQIgsVjURSrbCPHZjQa8fjjj8NkMuHjjz+WOhyqgz179uDf//439u7d22CfNw5HJKfw8ssv48cff8SmTZvQpEkTqcOhOtqzZw9ycnLQqVMneHp6wtPTE1u2bMF//vMfeHp6oqysTOoQqQZhYWGIiYmx2Na2bVtkZWVJFBHVxz/+8Q9MnToVjz/+OOLi4pCcnIxJkyYhNTVV6tDoNmg0GgB/94hVyMnJqdI7Ro7LaDRi+PDhyMzMRHp6OnvBnMTWrVuRk5ODyMhI8/3MuXPnMGXKFDRr1uy2zsmeMHJooiji5Zdfxrp167B582ZERUVJHRLVw4ABA3Dw4EGLbc888wzatGmD119/HTKZTKLIqC569uxZZUmIEydOoGnTphJFRPVRWFgIDw/L71plMhlL1DupqKgoaDQapKeno0OHDgCAkpISbNmyBXPmzJE4OqqLigTs5MmT2LRpE4KCgqQOieooOTm5yrz2gQMHIjk5Gc8888xtnZNJGDm0l156CStXrsQPP/wAPz8/8zeAKpUKSqVS4uioNn5+flXm7/n6+iIoKIjz+pzApEmT0KNHD8yePRvDhw/H7t27sXjxYixevFjq0KgOhgwZglmzZiEyMhLt2rXDvn37MG/ePDz77LNSh0bVuHHjBk6dOmV+nJmZif379yMwMBCRkZGYOHEiZs+ejejoaERHR2P27Nnw8fHByJEjJYyaKtTUfuHh4Rg2bBj27t2Ln3/+GWVlZeZ7msDAQHh5eUkVNt1U2+evctIsl8uh0WjQunXr23tBkciBAbD6s3TpUqlDo9vUp08f8ZVXXpE6DKqjn376SYyNjRUVCoXYpk0bcfHixVKHRHWUl5cnvvLKK2JkZKTo7e0tNm/eXJwxY4ZYXFwsdWhUjU2bNln9m/f000+LoiiKJpNJfPvtt0WNRiMqFAqxd+/e4sGDB6UNmsxqar/MzMxq72k2bdokdegk1v75q6xp06bihx9+eNuvx3XCiIiIiIiI7IiFOYiIiIiIiOyISRgREREREZEdMQkjIiIiIiKyIyZhREREREREdsQkjIiIiIiIyI6YhBEREREREdkRkzAiIiIiIiI7YhJGRERERERkR0zCiIiIiIiI7IhJGBERERERkR0xCSMiIiIiIrIjJmFERERERER29P8BKYxfh83G34EAAAAASUVORK5CYII=",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "a = 1.0\n",
    "b = a + 4pi  # Two periods\n",
    "u_0 = 2.0\n",
    "k = 2.0\n",
    "n = 80\n",
    "\n",
    "(t, U) = explicittrapezoid(f2, a, b, u_0, n)\n",
    "u = u2.(t, a, u_0, k)\n",
    "figure(figsize=[10,4])\n",
    "title(\"Solving du/dt = $k(cos(t) - u) - sin(t), u($a)=$u_0 by the Explicit Trapezoid Method\")\n",
    "plot(t, u, \"g\", label=\"Exact solution\")\n",
    "plot(t, U, \".:b\", label=\"Solution with h=$(approx((b-a)/n))\")\n",
    "legend()\n",
    "grid(true)\n",
    "    \n",
    "figure(figsize=[10,4])\n",
    "title(\"Error\")\n",
    "plot(t, u - U, \".:\")\n",
    "grid(true)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### The Explicit Midpoint Method (a.k.a. Modified Euler)\n",
    "\n",
    "If we start with the Midpoint Rule for integration in place of the Trapezoid Rule, we similarly get an approximation\n",
    "\n",
    "$$u(t + h) \\approx u(t) + h f(t + h/2, u(t + h/2))$$\n",
    "\n",
    "This has the slight extra complicatio that it involves three values of $u$ including $u(t+h/2)$ which we are not trying to evaluate.\n",
    "We deal with that by making yet another approximation, using an average of $u$ values:\n",
    "\n",
    "$$u(t+h/2) \\approx \\frac{u(t) + u(t+h)}{2}$$\n",
    "\n",
    "leading to\n",
    "\n",
    "$$u(t + h) \\approx u(t) + h f\\left( t + h/2, \\frac{u(t) + u(t+h)}{2} \\right)$$\n",
    "\n",
    "and in terms of $U_i \\approx u(t_i)$, the **Implicit Midpoint Method**\n",
    "\n",
    "$$U_{i+1} = U_i + h f\\left( t + h/2, \\frac{U_i + U_{i+1}}{2} \\right)$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will see in a later section that this is a particularly useful method in some situations, such as long-time solutions of ODEs that describe the motion of physical systems with conservation of momentum, angular momentum and kinetic energy. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "However, for now we again seek a more straightforward *explicit* method;\n",
    "using the same tangent line approximation strategy as above gives\n",
    "\n",
    "$$\\begin{split}\n",
    "K_1 &= h f(t, u)\n",
    "\\\\\n",
    "K_2 &= h f(t+h/2, u + K_1/2)\n",
    "\\\\\n",
    "u(t+h) &\\approx u + K_2\n",
    "\\end{split}$$\n",
    "\n",
    "and thus for equal-sized time steps"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "```{prf:algorithm} The Explicit Midpoint Method\n",
    ":label: explicit-midpoint\n",
    "\n",
    "$$\\begin{split}\n",
    "U_0 &= u_0\n",
    "\\\\\n",
    "U_{i+1} &= U_i + K_2\n",
    "\\\\\n",
    "&\\quad \\text{where}\n",
    "\\\\\n",
    "K_1 &= h f(t_i, U_i)\n",
    "\\\\\n",
    "K_2 &= h f(t_{i}+h/2, U_i + K_1/2)\n",
    "\\end{split}$$\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "See [Exercise 2](exercise-2) and [Exercise 3](exercise-3)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "function explicitmidpoint(f, a, b, u_0, n; demomode=false)\n",
    "    # Use the Explicit Midpoint Method (a.k.a Modified Euler) 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)  # Note: \"n\" counts steps, so there are n+1 values for t.\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",
    "        u[i+1] = u[i] + K_2\n",
    "    end\n",
    "    return (t, u)\n",
    "end;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Again, available for import with\n",
    "\n",
    "    include(\"NumericalMethods.jl\")\n",
    "    import .NumericalMethods: explicitmidpoint"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Examples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "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"
    }
   ],
   "source": [
    "a = 1.0\n",
    "b = 3.0\n",
    "u_0 = 2.0\n",
    "k = 1.5\n",
    "n = 50\n",
    "\n",
    "(t, U) = explicitmidpoint(f1, a, b, u_0, n; demomode=true)\n",
    "u = u1.(t, u_0, k)\n",
    "figure(figsize=[10,4])\n",
    "title(\"Solving du/dt = $(k)u, a=$a, u(a)=$u_0 by the Explicit Midpoint Method\")\n",
    "plot(t, u, \"g\", label=\"Exact solution\")\n",
    "plot(t, U, \".:b\", label=\"Solution with h=$(approx((b-a)/n))\")\n",
    "legend()\n",
    "grid(true)\n",
    "    \n",
    "figure(figsize=[10,4])\n",
    "title(\"Error\")\n",
    "plot(t, u - U, \".:\")\n",
    "grid(true)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "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"
    }
   ],
   "source": [
    "a = 1.0\n",
    "b = a + 4pi  # Two periods\n",
    "u_0 = 2.0\n",
    "k = 2.0\n",
    "n = 80\n",
    "\n",
    "(t, U) = explicitmidpoint(f2, a, b, u_0, n)\n",
    "u = u2.(t, a, u_0, k)\n",
    "figure(figsize=[10,4])\n",
    "title(\"Solving du/dt = $k(cos(t) - u) - sin(t), u($a)=$u_0 by the Explicit Midpoint Method\")\n",
    "plot(t, u, \"g\", label=\"Exact solution\")\n",
    "plot(t, U, \".:b\", label=\"Solution with h=$(approx((b-a)/n))\")\n",
    "legend()\n",
    "grid(true)\n",
    "    \n",
    "figure(figsize=[10,4])\n",
    "title(\"Error\")\n",
    "plot(t, u - U, \".:\")\n",
    "grid(true)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The \"Classical\", Fourth Order Accurate, Runge-Kutta Method\n",
    "\n",
    "This is the original Runge-Kutta method:\n",
    "\n",
    "```{prf:algorithm} The Runge-Kutta Method\n",
    ":label: runge-kutta\n",
    "\n",
    "$$\\begin{split}\n",
    "K_1 &= h f(t, u)\n",
    "\\\\\n",
    "K_2 &= h f(t + h/2, u + K_1/2)\n",
    "\\\\\n",
    "K_3 &= h f(t + h/2, u + K_2/2)\n",
    "\\\\\n",
    "K_4 &= h f(t + h, u + K_3)\n",
    "\\\\\n",
    "u(t+h) &\\approx u + \\frac{1}{6}(K_1 + 2 K_2 + 2 K_3 + K_4)\n",
    "\\end{split}$$\n",
    "```\n",
    "\n",
    "The derivation of this is far more complicated than those above, and is omitted.\n",
    "For now, we will instead assess its accuracy \"*a postiori*\",\n",
    "through the next exercise and some examples."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "See [Exercise 4](#exercise-4)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "function rungekutta(f, a, b, u_0, n; demomode=false)\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",
    "    h = (b-a)/n\n",
    "    t = range(a, b, n+1)  # Note: \"n\" counts steps, so there are n+1 values for t.\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",
   "metadata": {},
   "source": [
    "Yet again, available for import with\n",
    "\n",
    "    include(\"NumericalMethods.jl\")\n",
    "    import .NumericalMethods: rungekutta"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Examples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "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"
    }
   ],
   "source": [
    "a = 1.0\n",
    "b = 3.0\n",
    "u_0 = 2.0\n",
    "k = 1.5\n",
    "n = 20\n",
    "\n",
    "(t, U) = rungekutta(f1, a, b, u_0, n; demomode=true)\n",
    "u = u1.(t, u_0, k)\n",
    "h = round((b-a)/n, sigdigits=4)\n",
    "figure(figsize=[10,4])\n",
    "title(\"Solving du/dt = $(k)u, a=$a, u(a)=$u_0 by the Runge-Kutta Method\")\n",
    "plot(t, u, \"g\", label=\"Exact solution\")\n",
    "plot(t, U, \".:b\", label=\"Solution with h=$(approx((b-a)/n))\")\n",
    "legend()\n",
    "grid(true)\n",
    "    \n",
    "figure(figsize=[10,4])\n",
    "title(\"Error\")\n",
    "plot(t, u - U, \".:\")\n",
    "grid(true)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "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"
    }
   ],
   "source": [
    "a = 1.0\n",
    "b = a + 4pi  # Two periods\n",
    "u_0 = 2.0\n",
    "k = 2.0\n",
    "n = 40\n",
    "\n",
    "(t, U) = rungekutta(f2, a, b, u_0, n)\n",
    "u = u2.(t, a, u_0, k)\n",
    "figure(figsize=[10,4])\n",
    "title(\"Solving du/dt = $k(cos(t) - u) - sin(t), u($a)=$u_0 by the Runge-Kutta Method\")\n",
    "plot(t, u, \"g\", label=\"Exact solution\")\n",
    "plot(t, U, \".:b\", label=\"Solution with h=$(approx((b-a)/n))\")\n",
    "legend()\n",
    "grid(true)\n",
    "    \n",
    "figure(figsize=[10,4])\n",
    "title(\"Error\")\n",
    "plot(t, u - U, \".:\")\n",
    "grid(true)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a name=\"euler-redux\"></a>\n",
    "## For comparison: the above examples done with Euler's Method\n",
    "\n",
    "Since the (Explicit) Trapezoid and Midpoint methods do about twice as much work per step as Euler's method and the clasical Runge-Kutta method four time as much, a fair roughly equal cost comparions is done with\n",
    "- 40 steps of Euler's method\n",
    "- 20 steps of the Trapezoid and Midpoint methods\n",
    "- 10 steps of the Runge-Kutta method"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "include(\"NumericalMethods.jl\")\n",
    "using .NumericalMethods: eulermethod"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "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"
    }
   ],
   "source": [
    "a = 1.0\n",
    "b = 3.0\n",
    "u_0 = 2.0\n",
    "k = 1.5\n",
    "n = 80\n",
    "\n",
    "(t, U) = eulermethod(f1, a, b, u_0, n=n)\n",
    "u = u1.(t, u_0, k)\n",
    "\n",
    "figure(figsize=[10,4])\n",
    "title(\"Solving du/dt = $(k)u, u($a)=$u_0 by Euler's method\")\n",
    "plot(t, u, \"g\", label=\"Exact solution\")\n",
    "plot(t, U, \".:b\", label=\"Solution with h=$(approx((b-a)/n))\")\n",
    "legend()\n",
    "grid(true)\n",
    "\n",
    "figure(figsize=[10,4])\n",
    "title(\"Error\")\n",
    "plot(t, u - U, \".:\")\n",
    "grid(true)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "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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JQxCm9pY4MiIiIiKijmPPkwxl5BfjXFnTULjUzCMQIWLq8EiJo2oydXgkRg8MQpG2ClGBvghT+0Cv10sdFhERERFRh7HnSWYMRRkMI+NuFWWoljQuU2FqHyT2D0CY2gcnS8rx/KcHUFQhdVRERERERB3D5ElmmivKUKR1zqIMf9tViJzTZdhSpMCes1edKskjIiIiImoLJk8yYyjKYEopCIgK9JUmoFa8On4Q7uzjj3M3BEz/eD9GLdmOjPxiqcMiIiIiImozJk8yE6b2wZ0RPYy3lYKAxZPjEKb2kS6oFjSKIgoulkOEcPO28w0zJCIiIiKyBwtGyFBET18cvaDD78f2x9MjIp02cQJaHmbozHETEREREVli8iRD7z89DI1Th6JBFOGpdO7Ow+bWfnLWYYZERERERM1x7l/e1CyFQnD6xAloGmb47qTBEHArexozMIi9TkREREQkO+x5Iod7Ir4P9MVH4N9/GCr1In49wjnWpCIiIiIiagsmTzKzv+gq1uw8i7uie+K3o/tLHY7deqiAiXeEwdPTE0DTelWF2kpEB3ZjLxQRERERyQKTJ5k5oSnHf09cBgD8drTEwbRTRn4x5mUWoFFsmv+UNnkIpg5nbxQREREROTfnnzRDZhL7B+CdSbdj6vAIqUNpF42u2pg4ASxdTkRERETywZ4nmRkQ7IcBwX5Sh9FuLF1ORERERHLFnifqUobS5aaUgsDS5URERETk9ByePK1atQrR0dHw9vZGfHw8du3a1eL+O3fuRHx8PLy9vdGvXz+sWbPG7P7MzEwkJCSgR48e6NatG4YOHYp//OMfjnwJTmXP2TJcuFaFRsvuG5kIU/sgbfIQKIWmDEopCFg8OY69TkRERETk9Bw6bC8jIwNz5szBqlWrMGrUKHz00Ud44IEHcPz4cURGWhcIKCwsxMSJEzFr1ix89tln2L17N5KTkxEUFIQpU6YAAHr16oU33ngDMTEx8PLywr///W88//zzCA4Oxvjx4x35ciSnq9bjqbV7AADHFo5HN5U8R11OHR6J0QODUKStQlSgLy5eq8bMT/dj5bRh8PZUSh0eEREREZFNDv31vWLFCrzwwguYOXMmACA9PR3ffvstVq9ejbS0NKv916xZg8jISKSnpwMAYmNjsX//fixfvtyYPI0dO9bsMa+88go+/fRT5OTkuHzydL2qDtGB3VCjb5Bt4mQQpvZBmNoHNfoGPPrhblwur8WKrFMYGxPM8uVERERE5JQc9gu8rq4OBw4cQGpqqtn2pKQk5Obm2nxMXl4ekpKSzLaNHz8e69evh16vN64RZCCKIrZv345Tp05h6dKlzcZSW1uL2tpa4+3y8nIAgF6vh16vb9PrklK4vxeyXhkFURRlFbchVlsxKwG8/WAs/ra7EH/LKcTaXYVQCMC7kwbjifg+XRwp2dJS+5HzY/vJG9tP3th+8sb2k7e2tF9b2thhyZNWq0VDQwNCQkLMtoeEhKCkpMTmY0pKSmzuX19fD61Wi7CwMACATqdD7969UVtbC6VSiVWrVmHcuHHNxpKWloaFCxdabc/KyoKvLwsVdJXs7Gyb26/XAoeKlRDRNA+qUQTe+PIY9MVH0EPVlRFSS5prP5IHtp+8sf3kje0nb2w/ebOn/aqqqux+PoeP/RIE89JqoihabWttf8vtfn5+OHz4MG7cuIHvvvsOKSkp6Nevn9WQPoN58+YhJSXFeLu8vBwRERFISkqCv79/W18StZFer0d2djbGjRtn1XsIAHvOXoV4cL/ZNhEC+g+9GyOie3VVmNSM1tqPnBvbT97YfvLG9pM3tp+8taX9DKPS7OGw5CkwMBBKpdKql6m0tNSqd8kgNDTU5v4eHh4ICAgwblMoFBgwYAAAYOjQoThx4gTS0tKaTZ5UKhVUKusuDE9PT1l9GRZ8fQyXrldj9tj++EVkT6nDabPm3u8Bof5QCDBb/0kQgP4h/rJqH1cnt+8LmWP7yRvbT97YfvLG9pM3e9qvLe3rsFLlXl5eiI+Pt+oqy87OxsiRI20+JjEx0Wr/rKwsJCQktPiiRFE0m9PkqnJOa5F1/DKqahukDqVTWZYvB4D7BgYDAHLPaKHRVUsVGhERERGRkUOH7aWkpGD69OlISEhAYmIi1q5di+LiYsyePRtA03C6ixcvYsOGDQCA2bNnY+XKlUhJScGsWbOQl5eH9evXY+PGjcbnTEtLQ0JCAvr374+6ujps3boVGzZswOrVqx35UpzC2w8PRqG2EjFhflKH0ukM5csLr1SiokaP69V6jFqyHY0ioBCAtMlDMHW4dXl7IiIiIqKu4tDkaerUqSgrK8OiRYug0WgQFxeHrVu3om/fvgAAjUaD4uJi4/7R0dHYunUr5s6diw8//BDh4eF4//33jWXKAaCyshLJycm4cOECfHx8EBMTg88++wxTp0515EtxCvfeFoR7bwuSOgyHMZQv1+iqjYkT0DScb37mUYweGMQS5kREREQkGYcXjEhOTkZycrLN+z755BOrbWPGjMHBgwebfb53330X7777bmeFR06oUFtpNv8JABpEEUXaKiZPRERERCQZh815os5VXFaFPWfLUFpRI3UoDhcd2A0Ki4KMCgGICmRZeSIiIiKSDpMnmfjq8EU8tXYPlm07JXUoDnergETTbcOcJ/Y6EREREZGUHD5sjzqHt6cSUQG+6BfUTepQuoShgESRtgpRgb7GuVCF2kpEB3ZjIkVEREREXY7Jk0zMGt0Ps0b3kzqMLmUoIAEAGfnFmJdZwOp7RERERCQZDtsjp6fRVRsTJ+BW9T2u/0REREREXYnJEzm9lqrvERERERF1FSZPMnDhWhUm/nUXXt54SOpQJGGr+p5SEBAV6AuNrhq5Z7TshSIiIiIih+OcJxk4V1aF45py1NQ3SB2KJAzV9+ZnHkWDKEIpCFg8OQ7/yDuHVTvOAOA8KCIiIiJyPCZPMhDY3Quvjh+IwG4qqUORjGX1vYqaery+ucB4v2Ee1OiBQazER0REREQOweTJyVlWmYMAt+1dMa2+V6jVWt1vmAfF5ImIiIiIHIFznpwYq8w1r7l5UAA4B4qIiIiIHILJkxNjlbnmGeZBGRImpSBgaGQPPL1uD6at24tRS7YjI79Y4iiJiIiIyJVw2J4TM/SumCZQhipzZD4PyssDmLJ6j/E+zoEiIiIios7GnicnZuhdMVAIwOLJcUwGTISpfZDYPwC19aLVfYZeOpYzJyIiIqLOwJ4nJ2dZZY6Jk222eukUArB02wn8eEEHUWQ5cyIiIiLqGPY8yYChd4WJU/NszYEaOygYh883JU4AC24QERERUcew54lchmUv3Y/nr2P7yVKzfRpEEQeKrqFX90pEB3ZjQkpEREREdmPy5OQOnLuGBV8fwx191HjvsSGtP8DNma4FBcBqKJ8A4KWNh4z3cRgfEREREdmLw/ac3MXr1Si4qMOZKzekDkV2LIfyKQCYlpUwDOP78fw1FpQgIiIiolax58nJ3d2vF9b/JgE+nkqpQ5El06F8ZZW1eOmLQ2b3N4giHl2Vy4ISRERERNQqJk9OLtjPG7+M9ZY6DFkzDOXT6KqthvEBsCooMXpgEICmRYo5L4qIiIiIDJg8kdswDOObn3kUDaIIBYBGi30aRBEf5xThbzln0cjeKCIiIiIyweTJyeUXXYW+oRGxof7o2c1L6nBkz3QYn6+XAo+tyjVfGwowJk7Ard6omFA/VNY1sCeKiIiIyI2xYISTS9t6AtPW7cXewjKpQ3EZhnWz7ozoabU21Mx7o62G9RnmRU1btxcjl2zHxn3FAACNrpqFJoiIiIjcCHuenFxkL1+U19QjlL0dDmG5NhQA/C2nsNl5UaIIzMssQHmNHkv/c9JsaN/ogUGcJ0VERETkwpg8Obn0p4ZJHYLLs1wbqrV5UQCw5D8nzQpNvL65AIIAs6p9TKaIiIiIXAuTJyILrc2LEnCrJ8qUaTKVurmgaRvMi05odNVMqIiIiIhkiskTkQ2mvVGmPVFKQcBrEwZh6baTVkP7TNlajLfsRh2WZ53iUD8iIiIimWLy5MROaMrx6r9+xMAQP6x4cqjU4bgty3lRYWof9PD1NBvaJ8I8YbLUIIr407enjPsYeqeEm+tOsXeKiIiIyPkxeXJiGl01jl4slzoMgvW8KMuE6oefrrSYTNmaOyXCfKjfvMwCXK+2LkTBNaaIiIiInAOTJyd2Z58e+Pi54VAqBKlDIRtME6qWkil7h/o1itaFKLjGFBEREZHzYPLkxAK6q3BfTLDUYZCdWkqm7BnqpwCaXWOKVfyIiIiIpMfkichB2jLUr6XeqdZKonNYHxEREVHXYPLkxA4WX0NNXQMGhvohsLtK6nCoE7Sld0qA7SIUlsP6Rg8MAgD2RhERERE5GJMnJ/aX7J+w62ctlj9xJx6P7yN1OOQALfVO2VpjylKDKGLOpkPIL7rGIhNEREREDqaQOgBqXu8ePrgtuDvC1d5Sh0JdKEztg8T+AbgzoifSJg+BUmgqGKJA0wK9pgQAewuvGRMsQ2/Uj+evIfeMFhpddVeGTkREROTSHJ48rVq1CtHR0fD29kZ8fDx27drV4v47d+5EfHw8vL290a9fP6xZs8bs/nXr1uHee+9Fz5490bNnT/zqV7/Cvn37HPkSJLNkyh3IThmDkQMCpQ6FJDJ1eCRyUu/Dxll3Y/e8+7Fkyq1kSikImBAXavWYBlHEox/mYtq6vRi1ZDsy8ou7OmwiIiIil+TQYXsZGRmYM2cOVq1ahVGjRuGjjz7CAw88gOPHjyMy0npYUWFhISZOnIhZs2bhs88+w+7du5GcnIygoCBMmTIFALBjxw48/fTTGDlyJLy9vbFs2TIkJSXh2LFj6N27tyNfDpEkWponBQDfHiuxLjJx87+m86I4F4qIiIioYxza87RixQq88MILmDlzJmJjY5Geno6IiAisXr3a5v5r1qxBZGQk0tPTERsbi5kzZ2LGjBlYvny5cZ/PP/8cycnJGDp0KGJiYrBu3To0Njbiu+++c+RLIXIahmF9hqTKcmifpQZRRJG2ChpdNYfyEREREXWAw3qe6urqcODAAaSmppptT0pKQm5urs3H5OXlISkpyWzb+PHjsX79euj1enh6elo9pqqqCnq9Hr169Wo2ltraWtTW1hpvl5eXAwD0ej30er3dr6krnbtahZc3/YjIXr744Kk7pQ6nQwzvsbO+13I3eWgYEqN7ovhqFbw9lXhy7V6zniiFAOw5U4pp685CvHn73UmD8YSdRUjYfvLG9pM3tp+8sf3kje0nb21pv7a0scOSJ61Wi4aGBoSEhJhtDwkJQUlJic3HlJSU2Ny/vr4eWq0WYWFhVo9JTU1F79698atf/arZWNLS0rBw4UKr7VlZWfD19bXn5XS50+XAcY0Hrlwrx9atF6UOp1NkZ2dLHYJbeDJaQMZZBUQIECDioYhG/HX7GRjKTTSKwBtfHoP29BHUNQoI8hbRw45K+Gw/eWP7yRvbT97YfvLG9pM3e9qvqqrK7udzeKlyQTCvDyaKotW21va3tR0Ali1bho0bN2LHjh3w9m6+It28efOQkpJivF1eXo6IiAgkJSXB39/frtfR1a5X6XHnL65DBDD25jo+cqXX65GdnY1x48bZ7D2kzjURQLKuBsVXqxDZyxfnyqrw9cf7zfYRIeAvxzyMi+221BPF9pM3tp+8sf3kje0nb2w/eWtL+xlGpdnDYclTYGAglEqlVS9TaWmpVe+SQWhoqM39PTw8EBAQYLZ9+fLlWLx4Mf773//ijjvuaDEWlUoFlcr60rqnp6fTfhmC1J74ldo5e8Xay5nfb1cTGeiJyEA/AICnpwcUAqyLSpiUN3/rqxO4Lza0xaISbD95Y/vJG9tP3th+8sb2kzd72q8t7euwghFeXl6Ij4+36irLzs7GyJEjbT4mMTHRav+srCwkJCSYvag//elPeOedd7Bt2zYkJCR0fvBELqQtRSWIiIiIqHkOHbaXkpKC6dOnIyEhAYmJiVi7di2Ki4sxe/ZsAE3D6S5evIgNGzYAAGbPno2VK1ciJSUFs2bNQl5eHtavX4+NGzcan3PZsmV466238MUXXyAqKsrYU9W9e3d0797dkS+nSx25cB0VNfW4LaQ7gv24SC51jGmJc18vBR5blWvWE6UUBEQF+kKjq0ahthLRgd1Y2pyIiIjIgkOTp6lTp6KsrAyLFi2CRqNBXFwctm7dir59+wIANBoNiotvLeAZHR2NrVu3Yu7cufjwww8RHh6O999/37jGE9C06G5dXR0ef/xxs7/19ttvY8GCBY58OV1q1fdnsO1YCRY+cjt+MzJK6nDIBZiuF5U2eQjmZx5FgyhCKQhYPDkOP/x0BambC4wV+dImD8HU4dbrsRERERG5K4cXjEhOTkZycrLN+z755BOrbWPGjMHBgwebfb6ioqJOisy5haq9MTCkO3r34NV/6ny2Ftsdmbbd5uK6gb4OP0wQERERyQJ/FTmpBY/cLnUI5OJMe6Jyz2hhUU8CDaKIA0XXoPZW4nqt9eOJiIiI3A2TJyJCdGA3q4p8AoCXNx1CowgIUMIz8gKm3R0tWYxERM7Acm6orbmihm191HYsokdEssLkiYiMFfkM86AUAETcSqZECHjzq+OtljMnInIllonRF3vP4c0vj6Lx5hp5Dw4Jw7+PaMzmigLAvMwC4z5PRgsYpqvBBZ2OxXiIXACTJydUWlGD5/6ejxB/Ff7+3PAWFxUm6iym86DKKmvx0heHzO5vFIEibRVP/ETkskyTpZ2nrmD+lltJ0KAQP5woqTDu2ygC3xzRmN2et7kAMOnFbxSBTWcV+N8//2B8nrTJQzB6YBArmxLJFJMnJ1RaXovjmnJcuaFi4kRdyjAPSqOrthrGpxAAXy8Fcs9oecInIpeTkV9s7DGy1CjCLHFqTiMAqwmkEMySqdc3FxiPr6xsSiQ/TJ6cUGSALz5+fjj09Y1Sh0JuynIYnwARj94Zblwfiid8InIFGl01zpRWAhCbTZxMCbCRG5lQ3NyptecxTabmZRZg9MAgAGBvFJEMMHlyQv7enrhvULDUYZCbMwzjO3O5HAf37UH6jxqzE76hlDlP8kQkRxn5xUjNLIDYSqJjoBQEvPbAICz7zynjGnmPDgvHl4cuma2ZB8DkwhMgQkRT2mVbowg8+uFuXKmo5cUpIhlg8kREzQpT+yDQ1wN79ghWV1IbRJFzoIhINkznMwFNPT4tJU4CAOFmL5IhMZo6PBKP3BluXCMvTO2D/zd+kNltAMb5o73VXliV+T3+t1DZlBihqefK8s9eLr+1HoTh4lRMqB8q6xrYE0XkZJg8OaFjl3S4VqnHgODuCFV7Sx0OEYK8Ras5UEpBQFSgLy5dr0JRWRVP8ETktEznMwkAZt0bbXNoncIiWTJdTNxwfDNdI8/WbdNter0eiSEikiePxkVdHaICffHDT1eMPVNKQcBTd0Xg873FZo9vEEU8+mGuWRU/9kQROQcmT07o7zlF2HzwAl4dPwgv3jdA6nCI0EMFvDtpMN766oTZ8JSNe4vx/vbTAHiCJyLnpNFVm81nEgGs21Vo84JQZnIiquoarZKljgpTeyMy0A+AeWXTqEBfAMDGfcVWyZzhJodJEzkXJk9OKNhfhUEhfojo5St1KERGT8T3wX2xocYTfmOjiFFLvzfezxM8ETkTja4ahVcqcbWqzmZiMuueflifU2h2QejOiJ5dEptlb5V5gR7rYX1Nw6QrAbCoBJHUmDw5odcnxOD1CTFSh0FkxfSEn3tGa3U/50ERkTPYuK8Y8zMLjKUaLBMSpSDg+Xui8Pw9UVbD8qRg2hvl66UwVjY1UAjAK5sO48qNWogsKkEkKYXUAZA1ja4auWe00OiqpQ6FqFnRgd2gsCggpRQEeHmAn18ikoxGV403thQYkyXDfw3HK0Mvk+FiUGL/AKe44GOI5c6InkibPATKm+s8KgUBQ3qrUVpRayxwYejp53GWqOux58nJmE5q5ZUlcmaWa0EpBQEJUT0xZfUeAPz8ElHXMa2kV6ittDlM74OnhiGgu0ryXiZ7WM6LOqEpx4xP9pvt0yCKOFB0Db26cxgfUVdi8uRELCe1cg4JOTvTE7xSATz50R7jffz8ElFXsLzo+PqEGJvFIOKjesrqWGQ5L8ryNQHAHzYeYkU+oi7GYXtOxNbVMsMcEiJnZRhqUm+j7i8/v0TkSLYuOi7bdhKvPxBjNuzNMExPrgw9/YbXZBgxbVmRj8P4iByPPU9OxDCHxNZaOkTOrrnPb0Qv+f5gISLnZBimd7XSupJegwjc0bsHclLvc4piEJ3FtKf/SkUNXt502Ox+Fuwh6hrseXIilleWXOFqGbkP688vMDYmCO/++wTOX61kEQki6hQZ+cUYtWQ7pq3biz98cQgWdWuMFx2dqRhEZzG8puHRvWwU7AFu1Op5rCVyMPY8ORnLSaKudNAn12f6+RUE4Nn1+1DX0Ihvj5ewvC4RdZitBW8F3JoP5C4XHW0V7IkJ9cOsDQcA8FhL5EhMnpzMxetNi/qF9fB2+YM/uSbTSc6LJt2OeZkFVuV1WUSCiNrDFSrpdRbTi1VeHjBWOgV4rCVyJA7bczLfnbiMZ9bvxfJvT0kdClGHRQb4wrKMBItIEFF7Nbe+XHxUT5cbomcPwzC+2noW7CHqKkyenEw3Lw/EhPohMoBFIkj+bP3QUQhgERQiapPTpTfw56ymi4qcG2ytuWPtsUs6XLpexXlQRJ2Iw/aczJT4PpgS30fqMIg6heW4fABQeSpxo6YeuVotF3YkolZtyC3CH78+BgBYuf00lkwZ4nKV9DrKeg4UMLi3Gu/+3wm8938nuBYUUSdi8kREDmUYl3/68g2szynEbSHdMT79B+OCljyZE1FzNLpqLPjmmPG2iKa5PDmp9yGxf4B0gTkhy4JTmw9eRMEFndVaUJwHRdQxTJ6IyOEMRSQGhHTHqCXbzRa05MmciJrT0uLxPGZYMy3Y84vIHlb3870j6jjOeXIyC74+hl//bQ9yz2ilDoWo07X0Q4iICGjqbco+fhl/2nYSfXv52iwQwXmTrbM1D0oA0DeAiRNRRzB5cjI/XriO3afLUFFTL3UoRJ2uuZM5fwgREXBrAdxZG/bjwx1nMC+zgAUi2sly4XKgadjjuh8KWUCCqAM4bM/JpE6IQUl5De7s00PqUIg6na0CEinjBgIAcs+wgASRO7NcABcAck5rsfTxO1ggop1M50EVXLiOld+fxqd5Rfg4t4hzTonaicmTkxnRjxNgybWZnszD1N7YW1hmnAfFkzmR+7I1rLdRBIq0VW65hlNnMcyDigr0xZJtJznnlKiDOGyPiLqcYWFHlafC7Eqz4WTO4SRE7qWxUcS+s1c5v8mBOOeUqHMweXIiDY0idv18BT+ev44GyyMckQviyZyINLpqzP3fw0j/7mdE9vKF8mYCxflNncvWnFMAKK2o6fpgiGSMw/aciK5aj+nr9wEATr/3AJqm0hO5LsPJ3DSBUggsIEHkLjLyi816n4dH98LG397N+U0OYDnnVADQu6cP7r0tCBpdNQq1lZx3SmQHJk9OpK6+EYNC/FDf2AgPJTsFyfVZnswNc5548iZyfbYKRGQeuIiUcQO5AK6DmM457d3TG4HdVfjmx0vGduC8U6LWMXlyIqFqb3w7d7TUYRB1KdOTuemV5vNXK3H+WjWvhBK5qO9OXOYCuBIwXUjXMoFlEQmi1jF5IiLJmZ7MRVHEK5sO4esfNQB4JZTIFZ2/WoXl3/5ktZ0FIrpWS/NOmTwR2caxYUTkVH4uvWFMnABW4CNyJRpdNXLPaHG5vAYB3b0QrvY2FjFggYiuZ6uIBOedErXM4cnTqlWrEB0dDW9vb8THx2PXrl0t7r9z507Ex8fD29sb/fr1w5o1a8zuP3bsGKZMmYKoqCgIgoD09HQHRt+1/nv8Mqat24OV23+WOhQiyWhv1FptYwU+IvnLyC/GqCXbMW3dXjz5UR6eubsvvnxxFHan3o+Ns+5GTup97GHuYoZ5p0qhKYNS3uzpB5oWLudFKyJrDh22l5GRgTlz5mDVqlUYNWoUPvroIzzwwAM4fvw4IiOtD5CFhYWYOHEiZs2ahc8++wy7d+9GcnIygoKCMGXKFABAVVUV+vXrhyeeeAJz5851ZPhdrqisErlnyhDYXSV1KESSsVWBj0N5iOTN1tyad/99AhPiQs2G7VLXs5x3+sNPV7hwOVELHNrztGLFCrzwwguYOXMmYmNjkZ6ejoiICKxevdrm/mvWrEFkZCTS09MRGxuLmTNnYsaMGVi+fLlxn+HDh+NPf/oTnnrqKahUrpVk3B8TjPSpQzFtBA9S5L4sr4QqBGD87SHw8/aUODIiai+u6ebcDAuXA+DC5UStcFjPU11dHQ4cOIDU1FSz7UlJScjNzbX5mLy8PCQlJZltGz9+PNavXw+9Xg9PT9f+8dQvqDv6BXWXOgwiyZleCf17TiG2Hi2BvkHE8/dEsfoekQxFBVj3HLNH2fmwgARR6xyWPGm1WjQ0NCAkJMRse0hICEpKSmw+pqSkxOb+9fX10Gq1CAsLa1cstbW1qK29NY+ivLwcAKDX66HX69v1nGQ/w3vM91qepGq/QF8PBEb6Q3FPX+Sc1uK/Jy4j+8RlKATg3UmD8UR8ny6NR674/ZM3V2m/oG6eeOeRWPzxmxMQbw4He2dSLAJ9PWT/2loit/bro1bZXLi8t9pLNq+hM8mt/chcW9qvLW3s8FLlgmBexkUURattre1va3tbpKWlYeHChVbbs7Ky4OvrPFe9LlYC9SIQ5A34umAR+ezsbKlDoA6Qqv2u1wI1eiVENB0DGkXgjS+PQV98BD1ca+SuQ/H7J29ybb/rtcCVGgFB3iJ6qIAFw27d7nb5CLZuPSJ1iF1CTu33ZLSAjLMKiBAgQMST0Y3Y/t12aGtvtaO7kVP7kTV72q+qyv4hxA77iR4YGAilUmnVy1RaWmrVu2QQGhpqc38PDw8EBLR/tfF58+YhJSXFeLu8vBwRERFISkqCv79/u5+3s03/ez72FF7Dnx8fgol3tq+XzRnp9XpkZ2dj3LhxLj/00hVJ3X57zl6FeHC/2TYRAvoPvRsjont1eTxyI3X7UcfIuf3+eeAC3v7yOAAYe4ynuVmPsRzbbyKAZF0Niq9WIbKXL747UYoF/3cSANyu51+O7Ue3tKX9DKPS7OGw5MnLywvx8fHIzs7GY489ZtyenZ2NSZMm2XxMYmIivvnmG7NtWVlZSEhI6NCHVqVS2Swu4enp6VRfhgA/b4SrvRHk7+NUcXUWZ3u/qW2kar8Bof5Ww0gEAP1D/Pl5agN+/+RNbu2n0VXjja+OG283isBbX53AfbGhbjl3Rm7tFxnoichAP2h01Vh0M3EC3Lcd5dZ+ZM6e9mtL+zp0cFhKSgqmT5+OhIQEJCYmYu3atSguLsbs2bMBNPUIXbx4ERs2bAAAzJ49GytXrkRKSgpmzZqFvLw8rF+/Hhs3bjQ+Z11dHY4fP278/4sXL+Lw4cPo3r07BgwY4MiX43AfTvuF1CEQOR1D9b35mUfRcHMYbzeVB3w8lRJHRkTNKdRWQmThAdkr1FbCohnZjuT2HJo8TZ06FWVlZVi0aBE0Gg3i4uKwdetW9O3bFwCg0WhQXFxs3D86Ohpbt27F3Llz8eGHHyI8PBzvv/++cY0nALh06RKGDRtmvL18+XIsX74cY8aMwY4dOxz5cohIIqbV945evI7Jv+iDHr5e0OiqUaitZAU+IifD9dpcA9uRyJrDyxIkJycjOTnZ5n2ffPKJ1bYxY8bg4MGDzT5fVFSUsYgEEbkPw0KahrVIMvKLjeuRcCFHIudw6XoVNuQVY9qICLMeY6UgYPHkOF7kkBnLnn+lICD1gRgcvVjOtiS35YI13eSpuq4BMzfkw9/bE+lPDYXKg0OSiJqj0VXbXMhx9MAgntCJJJKRX4zUzQUQAazZeQZpk4cgJ/U+FGmrEBXoy++mTJn2/Ks8BPz2HwdQXl2Ptc/Gw8tDwZ5/cjtMnpxEeY0eu0+XQSEAXkqF1OEQOTUu5EjkXAwXNEy/lm9uOYqc1PuMvcUkX4aef1EUMTSiJ45evI4Zn+Sz55/cEn+lO4nuKg+kTx2KxY8N6dCaVkTuwDAO3xTH4RNJp6ULGuQ6BEHAaxMGobSi1qrnX6OrljY4oi7C5MlJdFN54NFhvfHUXbxyQ9Qawzh8QwLF+RRE0hFFEeFqH17QcBPaG7VMlMmtcdgeEcmS6Th8w3yK06U3UFpRwzH4RF3os73F+GR3IV6+/zZ8sP00C0S4OFsV+BQCmCiT22Dy5CSuVNRCo6tGkJ+KJxsiOxnG4VfV1eOptXnYc/YqAI7BJ+oKGl01fr58A6t3nMal6zXo7u3BAhFu4FYFvgI03Eyg4vv2ZHuT22Dy5CSyj1/G/C0FGDc4BOueTZA6HCJZuXCt2pg4Aay+R+RolksFJA0OwQv3REMQBH7n3ICh5//I+es4ckGHlKRBXHeP3AaTJyfhoRAQpvZGsJ9K6lCIZEd7o9ZqG6vvETmGraUCvjtRipLyGn7f3Iih5398XBjX3SO3wuTJSTw5PAJPDo+QOgwiWbI1Bp+T1Ykcg0sFkCmuu0fuhtX2iEj2DGPwlTfL/CsE4ME7whDq7y1xZESux09lfd2VFyvcF8vUk7th8kRELmHq8EjkpN6HT2cMR4jaG1//eAlfHb4kdVhELic6qDsS+vY03mZlPfdme909Vt8j18Vhe07iz1mn8PPlG5hxTzTuiu4ldThEsmQYg//08EhkHrwAX5USuWe0nMBM1AlMCwL86/cjcab0BkorallZz83dqr53lGXqyS0weXISe86WIb/oGh4ZGi51KESylzy2P3r6emL2Pw5wAjNRJ2iuIED/4O5Sh0ZOwNa6e/UNjbh4vRoXr1fzAha5FCZPTuL3Y/vj4WvViAtXSx0KkexduVGLt78+xgnMRJ2ABQHIHoaefwAo0lbi2b/vxfmr1RDBC1jkWpg8OYn7Y0KkDoHIZbAaGFHn4feJ2upA8TUUX6023mbCTa6EBSOIyOXYmsAsgBOYidrDdkEAVtej5oWprSudsgIfuQomT06gsVHEkQvXUaStRKPl5T0iajPL0uUCgHce5QRmovaw/D6xIAC1hgk3uTIO23MCFbX1eGTlbgDAqXcnQKVQShwRkfzZmsAMmFcM448/opZ9vvccHhoS3uz3icgWywp8CgGYnhjJzw25BCZPTqBG34BQf2/UNTRC5cHEiaizmE5gBoBN+4oxb0sBRFbgI2qRRleNTfvO46/f/YzVO84ge+4Yq+8TUUsMCXfWsct499/HsfngRcwa3R+9e/AzRPLG5MkJhPh7Y8/8X0odBpFL0+iqkZpZYLzNCcxEtpmWJQeAgcF+8PHihT1quzC1D349IhJfHr6IgG4qXK+qw7ky9vyTvDF5IiK3UKittNrGimFE5izLkgPAjp9KodFV83tC7eKhVODTGXdh6xENHv4gh2vvkeyxYAQRuQVOYCZqna2y5I0iWCWNOqSyth7zt1ivFabRVbf8QCInxOTJCeT8rMXvPzuAv+06K3UoRC6LFcOIWuftYf2zgBcZqKNaWiuMSG44bM8JnC6twH+OlkAQWt+XiNrPtGKYr5cCa3cV4t7bghDOCcxEAIB/HbxodpsXGagzGHr+TRMohcC190iemDw5gbv7B2DRpNvRpydPTkSOZqgY9pu/78POn66gvFqP34/tzwnM5NYMJfx/N7ofArp54d7bAtHQCJYlp05hq3R52uQh/GyRLDF5cgIxof6ICfWXOgwit/LHhwdj1qf7sfu0Frt+1nICM7kt0+p6hu/BXdEBUodFLsbWWmFcd4/kiMkTEbklXy8lisoqrSYws3Q5uRPL6nr8HpAjma4VZitp58UrkgMWjHACxWVVKNJWorquQepQiNwGJzAT8XtA0mguaWf1PZIDJk9O4I0vCzB2+Q5sLdBIHQqR27BVulzgBGZyM9GB3WBZq4jV9cjRmLSTnDF5cgJeSgW6eSnh7+MpdShEbsOydDkAxIb6c6gSuZUwtQ+WTBlivJDA6nrUFbjuHskZ5zw5gfXPDZc6BCK3ZJjAfKb0Bn66XIHnRkZLHRJRl7M1kZ/IkSyr7zFpJzlh8kREbs0wgfme24KM21gBilyZRleN3NNafHX4EpY+fofxO8DPOnUly6S9SFuFmZ/m48Nf/wIqD6XU4RE1i8kTEZGJjfuKMT+zACJYAYpcj2mFMwCY9el+/Pvle6UNityWIWmv0Tfg4Y27ob1Ri79k/4TRA4N48YqcFuc8SayuvhHJnx/A6/86gho9q+0RSclQAcowj5kVoMiVWFY4A4DjmnJ+vkly3p5KvDPpdtwV3QtrfziLaev2YtSS7cjIL5Y6NCIrTJ4kVlGjx9aCEmTsPw9PJZuDSEqF2kqrbawARa7CVoWzRhH8fJNTGBrZA/uLrrJ8OTk9DtuTmMpTiYWP3I5qfQOUlqVniKhLGSpAmf7AZAUochURPX34+San1VL5cg7fI2fCrg6JdVd54DcjozB7TH+pQyFye5bly5WCgPceYwUocg3fHNHAQyFAYFlyckK2ypcruPYeOSGHJ0+rVq1CdHQ0vL29ER8fj127drW4/86dOxEfHw9vb2/069cPa9assdpn8+bNGDx4MFQqFQYPHowtW7Y4KnwicjNTh0ciJ/U+bJx1Nz6dcRc25p9H7mmt1GERdYgoisg7U4a6BhFvTIzFxll3Iyf1PhZDIadha+29CXGhTO7J6Th02F5GRgbmzJmDVatWYdSoUfjoo4/wwAMP4Pjx44iMtD5gFxYWYuLEiZg1axY+++wz7N69G8nJyQgKCsKUKVMAAHl5eZg6dSreeecdPPbYY9iyZQuefPJJ5OTkYMSIEY58OQ6hq9bjVEk5dFX1iOvDBTqJnIGhAtQfvzqKH89fx4JvjmHBw7cjOojVn0h+DKX3l0wegqOXypE0OASCwGHi5HwM5cuPXtShvkHEA0PCuHQEOR2HJk8rVqzACy+8gJkzZwIA0tPT8e2332L16tVIS0uz2n/NmjWIjIxEeno6ACA2Nhb79+/H8uXLjclTeno6xo0bh3nz5gEA5s2bh507dyI9PR0bN2505MtxiHe+OY5/HbwAgGWRiZzNaxNicEJTjgPnrmHa3/byO0qyY1qa3PD5ZeJEzsx0zTFbn18ef0lqDkue6urqcODAAaSmppptT0pKQm5urs3H5OXlISkpyWzb+PHjsX79euj1enh6eiIvLw9z58612seQcNlSW1uL2tpa4+3y8nIAgF6vh16vb8vL6lQaXQ0230ycgKZJvPMyC5AY3RNham/J4upshvdYyvea2s+d2+9qRQ0OnLtmVv1Jbt9Rd24/V9CR9tPoapCaWQBRxp9fueP3r/00uhqz0vpSfH7ZfvLWlvZrSxs7LHnSarVoaGhASEiI2faQkBCUlJTYfExJSYnN/evr66HVahEWFtbsPs09JwCkpaVh4cKFVtuzsrLg6yvdRMSfdQJEmK+i3SgC/7v1e9ymFpt5lHxlZ2dLHQJ1gDu23886AY2ia3xH3bH9XEl72u/kNQGii3x+5Y7fv7ZzpuMv20/e7Gm/qir7l2xweKlyy+EBoii2OGTA1v6W29v6nPPmzUNKSorxdnl5OSIiIpCUlAR/f//WX4SDaHQ1WHXiB7PSnAoBeHLifS51VVCv1yM7Oxvjxo2Dp6en1OFQG7lz+9n6jgqQ13fUndvPFXSk/YZdr8aak7tg+jPTFc8xzozfv/Zzht9IbD95a0v7GUal2cNhyVNgYCCUSqVVj1BpaalVz5FBaGiozf09PDwQEBDQ4j7NPScAqFQqqFQqq+2enp6SfhkiAz2RNnkI5mceRYMoGsvGRgb6SRaTI0n9flPHuGP7WX5HAWBIHzUiArrLbt6IO7afK2lP+0UGeWLJlCHGoU+ufo5xZvz+tZ0z/UZi+8mbPe3XlvZ1WPLk5eWF+Ph4ZGdn47HHHjNuz87OxqRJk2w+JjExEd98843ZtqysLCQkJBhfVGJiIrKzs83mPWVlZWHkyJEOeBWOZ6gsU6StQlSgLyvJEDkZ0+9oRY0eSbeHsvoTObXiq5U4V1aFAcHdeY4hWbP1+a2qq4evl8MHThE1y6GfvpSUFEyfPh0JCQlITEzE2rVrUVxcjNmzZwNoGk538eJFbNiwAQAwe/ZsrFy5EikpKZg1axby8vKwfv16syp6r7zyCkaPHo2lS5di0qRJ+Oqrr/Df//4XOTk5jnwpDmVaWYaInA+rP5FcZOQXI3VzAUSYfz55jiG5Mj3+/vvIJbz91TEsmnQ7enbz4gUskoRDk6epU6eirKwMixYtgkajQVxcHLZu3Yq+ffsCADQaDYqLi437R0dHY+vWrZg7dy4+/PBDhIeH4/333zeWKQeAkSNHYtOmTXjzzTfx1ltvoX///sjIyJDlGk9EJC8aXbVV9af5mUcxemAQT+AkOcPn0zBFhJ9PcjW7T2tRVlmHF784BIAXsEgaDu/3TE5ORnJyss37PvnkE6ttY8aMwcGDB1t8zscffxyPP/54Z4RHRGS3Qm2l2eRlAGgQRRRpq/jjlCTHzye5uhmjorFp33leICBJKaQOgIhILqIDu0FhUSdCKQiICpRuyQMiA34+ydVduVELyyLlhgsERF2FyRMRkZ3C1D5ImzwEypuV9gzVn3jFk6R27JIOZTfq+Pkkl2brAoFCAC8QUJdiuRIiojawVf2puq4BKg8FFJZndaIuUKNvwJxNh3FWW4mVTw9DTup9rK5HLslwAct0+YiEqF78nFOXYvJERNRGptWf9pwtw+ubj2DKL/ogIaonqz9Rl9LoqnH0YjkievniWpUed/cLQM9uXvwMkssyXMDaekSDpdtO4r5BwRBFUXZr75F8MXkiIuqAny5X4FxZFVZk/wSA1Z+o61iWzZ/3QCx6dvOSOiwihwtT++CFe/vhkaG9EeSn4tp71KU454mIqAN+GRMM0+udhupPGl21ZDGR67NVNn/Jf07yc0duJchPhYz8Yoxash3T1u3FqCXbkZFf3PoDiTqAyRMRUQecu1rF6k/U5VoqS07kLppbe48XEciRmDwREXUAqz+RFDxsFCdhWXJyN7yIQFJg8kRE1AGW5csBoG9AN4T4eUsYFbm6u6ID8GxiX+OQUZYlJ3fEtc1ICiwYQUTUQYbqT/mFV5GaWYAxA4Nw/loVLl6v5gRm6lSmE+MXTYrD78f2Z1lycluWpct5EYG6ApMnIqJOEKb2wSNDe2PkgEB8d+Iy7lu+w1gFjdX3qDNYVtczfK74Q5Hcma219/YVlkFXpUdcHzW/H9TpmDwREXUifUOjzQnMowcG8SRO7abR1fBzRdQM07X3Ujcfwab88wB48Yocg3OeiIg6EScwkyOcK6vi54qoFRpdNTL2nzfeZvU9cgQmT0REnYjV98gR+gb4cmI8USsKtZUQeZGBHIzJExFRJ7pVfa/ptmHYCIdWUUeEqb3NqjpyYjyRNVbfo67AOU9ERJ3M1gRmovYQRREZZxTwO63l54qoFZbV9xQC8KvBwdh+shS/HtFX6vDIRTB5IiJyANMJzACgvVGLny/fgAiR5cvJLhpdNTbsLkRuqQL7Pz+MnNd6Wn2uiMic6UWGn0or8PZXx7Dj1BXcHuaPKn0Dj7/UYUyeiIgc7MC5q3h2/T5U1jUAYAUoap1pWXJAxP2DghDsz4WXiexhuMgwIroX9pwpQ3dvD0xencvlI6hTcM4TEZGD+Xp5GBMngBWgqGUaXbVZWXJAQNbxy/y8ELWRQiHgjw8PxuYDF6zK/PP7RO3F5ImIyMGuVdVZbWMFKGqOrXL3jSL4eSFqBy4fQZ2NyRMRkYOxAhS1RbVJL6UBy90TtQ+Xj6DOxuSJiMjBbpUvbzqDCwKQENWTk5bJpovXqyEAMPzeEyDi3UmD+XkhagfD8dc0gUoeO4DfJ2o3FowgIuoChgpQuWfK8Oo/f8TewqvYfPACwtTerP5EAJrmOhVqKzFucAhuD/dHd5UHrpRX48zhPXgivo/U4RHJluH4u+NUKeJ6qzGkdw+pQyIZY/JERNRFwtQ+mPKLPrh0rRpHL+rw6j9/ZPUnAmBeXc/089AvwAdlJ6SOjkj+wtQ+ePquW2s9GS5W8OIVtRWH7RERdbHHE/og+8RlVn8iANbV9fh5IHKsjPxijFyyHdPW7cWoJduRkV8sdUgkI0yeiIi6GKs/kSl+Hoi6juFihciLFdROTJ6IiLoYqz+RqejAbhBYjZGoS/BiBXUUkycioi52q/rerW1PJkRw3L2bClP7YInJ50EpCFg8OY6fByIH4NIR1FEsGEFEJAFD9afjl8rh7anEqAGBnMDsZn6+XIHjl8pxV79exs9DkbYKUYG+bH8iBzFcvJqfeRQNomi8WHG1sg6h/t4QLLuBiSwweSIikkiY2sf4I7m5amvkmjbtK0ZqZgGApnW/ltxsbyZNRI5nebFiQ945vL65APMnxiCut5oXsKhFTJ6IiCTWXLW10QODeAJ3QRpdNeZvKTDeFtneRF3O9OJVd1XTz+G0rSch4tYFrMlDwySMkJwV5zwREUmME5jdC9ubyLk8OjQcggAYvpa3KvDVSBoXOScmT0REEuMEZvchiiLbm8jJnLtaZSxdbtAgiii+ygsaZI3JExGRxG5V32v6Rc1qa65JFEWk/O+PyDp2GYsfY3sTOQtbFzQEAYjsxQsaZI1znoiInICtamsFF3TQVeuhUIATmGVOo6tG5oEL2HLoIr758RK2zRmNnNT7WF2PyAlYVuADAE+FAF11HX7WCdDoahAZ6ClxlOQsmDwRETkJ0wnM209exqxPDxhP5KzAJ1+mlRQFABOHhGJAcHcAYNJE5CQMF7AKr1RiU34xwnv4YNKqPWgUlVh14gcef8nIocP2rl27hunTp0OtVkOtVmP69Om4fv16i48RRRELFixAeHg4fHx8MHbsWBw7dsxsn7Vr12Ls2LHw9/eHIAitPicRkdyEqX2MiRNgOoG5WsKoqK0sKymKAP7vSAnbkcgJhal9MHJAIOZNjMXaH85aVUDl95YABydP06ZNw+HDh7Ft2zZs27YNhw8fxvTp01t8zLJly7BixQqsXLkS+fn5CA0Nxbhx41BRUWHcp6qqChMmTMD8+fMdGT4RkWSuVdVZbWNFNvk5XXqDlfWIZIYVMaklDhu2d+LECWzbtg179uzBiBEjAADr1q1DYmIiTp06hUGDBlk9RhRFpKen44033sDkyZMBAJ9++ilCQkLwxRdf4He/+x0AYM6cOQCAHTt2OCp8IiJJGSYwm57AFQJYkU1m/u+IxmobK+sROTcef6klDkue8vLyoFarjYkTANx9991Qq9XIzc21mTwVFhaipKQESUlJxm0qlQpjxoxBbm6uMXlqq9raWtTW1hpvl5eXAwD0ej30en27npPsZ3iP+V7LE9tPGoG+Hnh30mC8+dVx41wZb08lamr10OvtP3Sz/aSh0dXgXFkVBod1h5eHgPoGEY1i0w+wdybFItDXw642YfvJG9tPniyPvwAw55cD7P7eknNoy/evLe3qsOSppKQEwcHBVtuDg4NRUlLS7GMAICQkxGx7SEgIzp071+5Y0tLSsHDhQqvtWVlZ8PXlVYSukp2dLXUI1AFsv67XDcDbwwBNtYCvihTQVDdg6f/uwAB/IMhbRA+V/c/F9us6eZcFZJxVQIQAASIe7duIoQEirtQICPIW0e3yEWzdeqRNz8n2kze2n/wYjr8l1QJ6qESEVp7EF1tOGr/HbTn+krTs+f5VVdk/JLPNydOCBQtsJiKm8vPzAQCCIFjdJ4qize2mLO+35zEtmTdvHlJSUoy3y8vLERERgaSkJPj7+7f7eck+er0e2dnZGDduHDw9WepTbth+zmGargYrvz+Dfx28iG0Xmnow3p00GE/E92nxcWy/rqXR1WDun3+AYbSPCAFfFSsx94nRCFN7t/n52H7yxvaTN9P2+/LIZSy82RNl7/GXpNWW759hVJo92pw8vfTSS3jqqada3CcqKgpHjhzB5cuXre67cuWKVc+SQWhoKICmHqiwsDDj9tLS0mYfYw+VSgWVyvoSgaenJw9mXYjvt7yx/aTl6VmPfx28aFb96a2vTuC+2FC7yl2z/bpG4dVrVhPNG0Xgoq4OkYF+7X5etp+8sf3kTVvVYDaEr63HX5KWPd+/tnw/25w8BQYGIjAwsNX9EhMTodPpsG/fPtx1110AgL1790Kn02HkyJE2HxMdHY3Q0FBkZ2dj2LBhAIC6ujrs3LkTS5cubWuoREQuo6XqTzx5Ow8fT6XVNhaIIJK3c2VVPP6SkcNKlcfGxmLChAmYNWsW9uzZgz179mDWrFl46KGHzIpFxMTEYMuWLQCahuvNmTMHixcvxpYtW3D06FE899xz8PX1xbRp04yPKSkpweHDh3H69GkAQEFBAQ4fPoyrV6866uUQEUnKUP3JUkB3r64PhsxodNXIPaOFRleNu6ID8MbEWGNbKQUBiyfH8QcWkYz1DfC1Ov7yooj7cljBCAD4/PPP8fLLLxur5z3yyCNYuXKl2T6nTp2CTqcz3n7ttddQXV2N5ORkXLt2DSNGjEBWVhb8/G4Nd1izZo3ZvKvRo0cDAD7++GM899xzDnxFRETSCFP7IG3yEMzPPIoGUYQAYNa9/TAwxA8aXTUKtZWIDuzGH+ldLCO/2LgIrkIA0iYPwazR/fDQnWEo0lYhKtCXbUIkc2Fqb7Pjr+lFkXNllbh4vZrHXzfi0OSpV69e+Oyzz1rcRxTN+0EFQcCCBQuwYMGCZh/T2v1ERK5o6vBIjB4YZPaj3NaP96nDI6UO1S1odNXG9x5omgcxP/MoRg8MQpjahz+kiFyI5fE31N8bL35+EP9X0LSWG4+/7sNhw/aIiKjzhal9kNg/AGFqn2Z/vGt01dIG6SZamodGRK7H9Pj7c+kNY+IE8PjrTpg8ERHJFH+8S8vWPDTOgyByD9obtVbbePx1D0yeiIhkij/epaHRVSP3tBZA0zAd5c11CFkcgsh92D7+An0D+P13dQ6d80RERI5jWUTC8OMdAHLPaBEd2A2BvjzMdybTOWYCgCVThiAn9T4WhyByM5bHX4UADIvsib/nFOH+2GAWkHBhPKsSEcmY5STmH366gpFLtkO8WUDi3UmD0U3qIF2E5RwzEcC8zALsTr0fif0DJI2NiLqe6fH3wrUqvPqvI9h/7hr+llPIAhIujMP2iIhkzjCJGWj6MS+aFJB486vjuG49NJ/awdYcs0YRnONA5MYMx997bguE6Sg+FpBwXUyeiIhcRHM/7q/U2Fhdl9pEFEVEcaFMImpGobYSFodfFpBwUUyeiIhchK0JzAoB8FKI2HP2Kq+AttOl61WYtWE/Pth+GosfY4EIIrJm6/gLAGe1N5qKzJzR8hjsIjjniYjIRdgqIDHpzlD85fAliEf3cwx+O2TkFyPVZChkr24qFoggIiuWx18BTfMi07aexFtfHuVC5i6EyRMRkQsxncDs66XAo6tyId4ciW8Ygz96YBB/9NvBUCBCNBmLs2bHGTxzdyQLRBCRFdPjb0QvH/z1vz/jXwcvmM1D5TFY/jhsj4jIxRgmMFfWNZj98Ac4Bt9e9Q2NOKWp4CLERNQmhuNvn56+eOwXvXkMdkHseSIiclGGMfimCYChwIFGV41CbSXXIrGg0VXjVEkF/p5TiBp9Q7PvHxFRa2wdgwUB8PVSGNfi4/FXfpg8ERG5qDC1D96dNBhvfHkMIgQoBQHvPRaH1/51BDk/ayGCY/BNmS6ACwBKhYDZY/rjo51nzRYh5o8dIrKH5TwoAPBTeeCxVbmcAyVjTJ6IiFzYE/F9oC8+gv5D70b/EH/sOXsVu37WGu/nGPwmlgvgAk3lyacn9sX0xL4sEEFE7XJrHlQldpwqxbpdhcbjDI+/8sQ5T0RELq6HChgR3Qthah+E+Kms7ucYfOD7k6XNLoBrmMPAHzdE1B5Nx5BAjBkUzHmULoDJExGRG4kOsr0WVI2+3i3XIdHoqrH2hzNY+PUxq/s4v4mIOlNza0HV1Te47fFXjq+bw/aIiNyI5Rh8hQAE+qnw/Cf7AbjXGHzLOU7Bfipob9SiUeQCuETU+WzNgQpXe+P5T/Ldbg6U6fFXbq+byRMRkZsxXYuktr4Bz32cb7zPXcbgF5dVWs1x0t6oxZbkkaiqa+T8JiJyCMvj74ybiRNgOP4WuPzx13KOqdzOO0yeiIjcUJjaB2FqH+Se0Vrd1zQGvxIAXKqcuaE8e0W1Hm9sOWpzjlNVXSMXwCUihzI9/lrPgQIOn78OwLWOv8CtY/DVyrpm537J4bUyeSIicmO21iFRCMArmw7jyo1aiDIcUmGL5RA9WzjHiYi6kq3jLwD89/hlvPj5QVkOaWtORn4xUjMLIIqAgKZ/pi9bTsdfFowgInJjhjH4SqFpFrNSEHBbcHeUVjQlTsCtIRVym9RrYKsMuQDgf8YNNHvdnONERF3J8virEICxg4Kw5dBFqyFtcj3+AreOwYZziuFQbCieIbfjL3ueiIjcnOkY/KhAXxy9WI5ZG/ab7dMgijhQdA29ustnGIlGV42fLldg075iqyu7IoCEqF7ISb2PazgRkWQsj7+F2krsOHXFbB+5Hn8Nww4LtZU2j8EfPDUMAd1Vsjv+MnkiIiLjGHwDW0NJXtp4yHifsw8jaW2YnmGIiOXrJiLqavYcf1/edEg2w/gsK+m9PiHG6jUpBQHxUT1lefzlsD0iIjJjOZTEclkSwzCSH89fc6o1Ogxrhuz66YrNxEmuQ0SIyH1YHn+BpmOw6TC+eZkF0OiqnWqdJEMsP56/ZlVJb9m2U3j9gRiXGSbNniciIrJiOpSkrLIWL31xyOz+BlHEox/mQoRzXAm1pyDE+zIdIkJE7qW142+jCMzddBj7iq46RW+U6fHXshAE0HS+uKN3D5cZJs3kiYiIbDIMJdHoqm0OIzHcNF2jA+ia8rqm4+kB2FVJT65DRIjI/bR2/N1beNXqGBwT6ofKuoYumRdlOAZ381IidXOBMRZbh2FXGybN5ImIiFpkGEYyP/MoGkQRCgCNFvs0iCI+zinC33LOml0JHT0wqFOSKdNk6QeLYXkv3BNlM3Ey/OCQ+xARInJflsdfpQCMHRSM706Wmu1nazSAI46/YWoffLH3HN788mizPU2Aax9/mTwREVGrTIeR+Hop8NiqXPO1oQBj4gQ0nTRTNxdAuHkCNR1WYnkibu225ZAQwPxk/fecIpuTkTOTE1FV1yj7ISJE5N4sK/IBwPdLtrc4GqC9x1+g+YtVCgEYPTAQO05prf6mKVc//jJ5IiIiu5gOuTC/EirghXuisHZXodn+ImC2VtS8zAJcr9Zj6X9OGk/Ejw3rbVzTxNbt1yfEYOm2k8YfCbZO1CKAWff0w/qcQmM8iyfH4c6Ing57L4iIupLlkDfTY7Ct3h/L4+/8zKOtHn/TJg8B0Pww6EYRZomTKcueJlc+/jJ5IiKiNrN1JfRvOYUtzjtqFIEl/zlpdkLffPCi2f2Wt5f+56TVEEFLSkHA8/dE4fl7olxiMjIRUWtaGw1gqUEUWz3+vr65wOb8KkuWyZqr9zRZYqlyIiJqlzC1DxL7BxiviJqW11XAusS5gFtXQu3VCECweCIBtsuOm8ZDROTqDMe8OyN6tnr8VcC+429riZNSEJA60brs+J0RPd3m+MueJyIi6hSWvVE//HTFbGjfaxMGmQ3Bs4dSEPDaA4Ow7D+nzIbkmf4ddzhZExG1pDOOvwJgnCdla5vh+Dt1eCQeuTPcbY/BTJ6IiKjTmI7LtzyZh6l90MPX0+yE/uiwcHx56FKzt1s6UbvbCZuIqCUdPf4unhwHAGb7NHexylXKjrcHkyciInIYyxOsrRP6/xs/qMXbtp6HiIha1p7jL4BmkyVqwuSJiIi6lOUJvbXbRETUOew53vIY3DIWjCAiIiIiIrKDQ5Ona9euYfr06VCr1VCr1Zg+fTquX7/e4mNEUcSCBQsQHh4OHx8fjB07FseOHTPef/XqVfzhD3/AoEGD4Ovri8jISLz88svQ6XSOfClEREREROTmHJo8TZs2DYcPH8a2bduwbds2HD58GNOnT2/xMcuWLcOKFSuwcuVK5OfnIzQ0FOPGjUNFRQUA4NKlS7h06RKWL1+OgoICfPLJJ9i2bRteeOEFR74UIiIiIiJycw6b83TixAls27YNe/bswYgRIwAA69atQ2JiIk6dOoVBgwZZPUYURaSnp+ONN97A5MmTAQCffvopQkJC8MUXX+B3v/sd4uLisHnzZuNj+vfvj/feew/PPPMM6uvr4eHBaVxERERERNT5HJZp5OXlQa1WGxMnALj77ruhVquRm5trM3kqLCxESUkJkpKSjNtUKhXGjBmD3Nxc/O53v7P5t3Q6Hfz9/ZtNnGpra1FbW2u8XV5eDgDQ6/XQ6/Xten1kP8N7zPdanth+8sb2kze2n7yx/eSN7SdvbWm/trSxw5KnkpISBAcHW20PDg5GSUlJs48BgJCQELPtISEhOHfunM3HlJWV4Z133mk2sQKAtLQ0LFy40Gp7VlYWfH19m30cda7s7GypQ6AOYPvJG9tP3th+8sb2kze2n7zZ035VVVV2P1+bk6cFCxbYTERM5efnAwAEQbC6TxRFm9tNWd7f3GPKy8vx4IMPYvDgwXj77bebfb558+YhJSXF7HERERFISkqCv79/i7FQx+n1emRnZ2PcuHHw9PSUOhxqI7afvLH95I3tJ29sP3lj+8lbW9rPMCrNHm1Onl566SU89dRTLe4TFRWFI0eO4PLly1b3XblyxapnySA0NBRAUw9UWFiYcXtpaanVYyoqKjBhwgR0794dW7ZsafFNUalUUKlUVts9PT35ZehCfL/lje0nb2w/eWP7yRvbT97YfvJmT/u1pX3bnDwFBgYiMDCw1f0SExOh0+mwb98+3HXXXQCAvXv3QqfTYeTIkTYfEx0djdDQUGRnZ2PYsGEAgLq6OuzcuRNLly417ldeXo7x48dDpVLh66+/hre3d5tegyiKxuchx9Pr9aiqqkJ5eTkPPjLE9pM3tp+8sf3kje0nb2w/eWtL+xlyAkOO0CLRgSZMmCDecccdYl5enpiXlycOGTJEfOihh8z2GTRokJiZmWm8vWTJElGtVouZmZliQUGB+PTTT4thYWFieXm5KIqiWF5eLo4YMUIcMmSIePr0aVGj0Rj/1dfX2xXX+fPnRQD8x3/8x3/8x3/8x3/8x3/8x38iAPH8+fOt5hEOrev9+eef4+WXXzZWz3vkkUewcuVKs31OnTpltsDta6+9hurqaiQnJ+PatWsYMWIEsrKy4OfnBwA4cOAA9u7dCwAYMGCA2XMVFhYiKiqq1bjCw8Nx/vx5+Pn5tTr/ijrOMMfs/PnznGMmQ2w/eWP7yRvbT97YfvLG9pO3trSfKIqoqKhAeHh4q88riKI9/VNE7VdeXg61Wm0sKU/ywvaTN7afvLH95I3tJ29sP3lzVPspOu2ZiIiIiIiIXBiTJyIiIiIiIjsweSKHU6lUePvtt22Wiyfnx/aTN7afvLH95I3tJ29sP3lzVPtxzhMREREREZEd2PNERERERERkByZPREREREREdmDyREREREREZAcmT0RERERERHZg8kQOkZaWhuHDh8PPzw/BwcF49NFHcerUKanDonZKS0uDIAiYM2eO1KGQnS5evIhnnnkGAQEB8PX1xdChQ3HgwAGpwyI71dfX480330R0dDR8fHzQr18/LFq0CI2NjVKHRjb88MMPePjhhxEeHg5BEPDll1+a3S+KIhYsWIDw8HD4+Phg7NixOHbsmDTBkpWW2k+v1+P111/HkCFD0K1bN4SHh+PZZ5/FpUuXpAuYzLT2/TP1u9/9DoIgID09vd1/j8kTOcTOnTvx4osvYs+ePcjOzkZ9fT2SkpJQWVkpdWjURvn5+Vi7di3uuOMOqUMhO127dg2jRo2Cp6cn/vOf/+D48eP485//jB49ekgdGtlp6dKlWLNmDVauXIkTJ05g2bJl+NOf/oQPPvhA6tDIhsrKStx5551YuXKlzfuXLVuGFStWYOXKlcjPz0doaCjGjRuHioqKLo6UbGmp/aqqqnDw4EG89dZbOHjwIDIzM/HTTz/hkUcekSBSsqW175/Bl19+ib179yI8PLxjf1Ak6gKlpaUiAHHnzp1Sh0JtUFFRId52221idna2OGbMGPGVV16ROiSyw+uvvy7ec889UodBHfDggw+KM2bMMNs2efJk8ZlnnpEoIrIXAHHLli3G242NjWJoaKi4ZMkS47aamhpRrVaLa9askSBCaoll+9myb98+EYB47ty5rgmK7NZc+124cEHs3bu3ePToUbFv377iX/7yl3b/DfY8UZfQ6XQAgF69ekkcCbXFiy++iAcffBC/+tWvpA6F2uDrr79GQkICnnjiCQQHB2PYsGFYt26d1GFRG9xzzz347rvv8NNPPwEAfvzxR+Tk5GDixIkSR0ZtVVhYiJKSEiQlJRm3qVQqjBkzBrm5uRJGRu2l0+kgCAJ782WisbER06dPx6uvvorbb7+9w8/n0QkxEbVIFEWkpKTgnnvuQVxcnNThkJ02bdqEgwcPIj8/X+pQqI3Onj2L1atXIyUlBfPnz8e+ffvw8ssvQ6VS4dlnn5U6PLLD66+/Dp1Oh5iYGCiVSjQ0NOC9997D008/LXVo1EYlJSUAgJCQELPtISEhOHfunBQhUQfU1NQgNTUV06ZNg7+/v9ThkB2WLl0KDw8PvPzyy53yfEyeyOFeeuklHDlyBDk5OVKHQnY6f/48XnnlFWRlZcHb21vqcKiNGhsbkZCQgMWLFwMAhg0bhmPHjmH16tVMnmQiIyMDn332Gb744gvcfvvtOHz4MObMmYPw8HD85je/kTo8agdBEMxui6JotY2cm16vx1NPPYXGxkasWrVK6nDIDgcOHMBf//pXHDx4sNO+bxy2Rw71hz/8AV9//TW+//579OnTR+pwyE4HDhxAaWkp4uPj4eHhAQ8PD+zcuRPvv/8+PDw80NDQIHWI1IKwsDAMHjzYbFtsbCyKi4slioja6tVXX0VqaiqeeuopDBkyBNOnT8fcuXORlpYmdWjURqGhoQBu9UAZlJaWWvVGkfPS6/V48sknUVhYiOzsbPY6ycSuXbtQWlqKyMhI4++Zc+fO4X/+538QFRXVrudkzxM5hCiK+MMf/oAtW7Zgx44diI6OljokaoNf/vKXKCgoMNv2/PPPIyYmBq+//jqUSqVEkZE9Ro0aZbU0wE8//YS+fftKFBG1VVVVFRQK8+ubSqWSpcplKDo6GqGhocjOzsawYcMAAHV1ddi5cyeWLl0qcXRkD0Pi9PPPP+P7779HQECA1CGRnaZPn241b3v8+PGYPn06nn/++XY9J5MncogXX3wRX3zxBb766iv4+fkZr7ip1Wr4+PhIHB21xs/Pz2p+Wrdu3RAQEMB5azIwd+5cjBw5EosXL8aTTz6Jffv2Ye3atVi7dq3UoZGdHn74Ybz33nuIjIzE7bffjkOHDmHFihWYMWOG1KGRDTdu3MDp06eNtwsLC3H48GH06tULkZGRmDNnDhYvXozbbrsNt912GxYvXgxfX19MmzZNwqjJoKX2Cw8Px+OPP46DBw/i3//+NxoaGoy/aXr16gUvLy+pwqabWvv+WSa7np6eCA0NxaBBg9r3B9tdp4+oBQBs/vv444+lDo3aiaXK5eWbb74R4+LiRJVKJcbExIhr166VOiRqg/LycvGVV14RIyMjRW9vb7Ffv37iG2+8IdbW1kodGtnw/fff2zzn/eY3vxFFsalc+dtvvy2GhoaKKpVKHD16tFhQUCBt0GTUUvsVFhY2+5vm+++/lzp0Elv//lnqaKlyQRRFsX1pFxERERERkftgwQgiIiIiIiI7MHkiIiIiIiKyA5MnIiIiIiIiOzB5IiIiIiIisgOTJyIiIiIiIjsweSIiIiIiIrIDkyciIiIiIiI7MHkiIiIiIiKyA5MnIiIiIiIiOzB5IiIiIiIisgOTJyIiIiIiIjsweSIiIiIiIrLD/wcT5CUSuIEkQQAAAABJRU5ErkJggg==",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "a = 1.0\n",
    "b = a + 4pi  # Two periods\n",
    "u_0 = 2.0\n",
    "k = 2.0\n",
    "n = 160\n",
    "\n",
    "(t, U) = eulermethod(f2, a, b, u_0, n=n)\n",
    "u = u2.(t, a, u_0, k)\n",
    "h = round((b-a)/n, sigdigits=4)\n",
    "figure(figsize=[10,4])\n",
    "title(\"Solving du/dt = $k(cos(t) - u) - sin(t), u($a)=$u_0 by Euler's method\")\n",
    "plot(t, u, \"g\", label=\"Exact solution\")\n",
    "plot(t, U, \".:b\", label=\"Solution with h=$(approx((b-a)/n))\")\n",
    "legend()\n",
    "grid(true)\n",
    "    \n",
    "figure(figsize=[10,4])\n",
    "title(\"Error\")\n",
    "plot(t, u - U, \".:\")\n",
    "grid(true)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "## Exercises"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a name=\"exercise-1\"></a>\n",
    "### Exercise 1\n",
    "\n",
    "A) Verify that for the simple case where $f(t, u) = f(t)$,\n",
    "this gives the same result as the Composite Trapezoid Rule for integration.\n",
    "\n",
    "B) Do one step of this method for the canonical example $du/dt = ku$, $u(t_0) = u_0$.\n",
    "It will have the form $U_1 = G U_0$ where the growth factor $G$ approximates the factor $g=e^{kh}$ for the exact solution $u(t_1) = g u(t_0)$ of the ODE.\n",
    "\n",
    "C) Compare to $G=1+kh$ seen for Euler's Method.\n",
    "\n",
    "D) Use the previous result to express $U_i$ in terms of $U_0=u_0$, as done for Euler's Method."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a name=\"exercise-2\"></a>\n",
    "### Exercise 2 (a lot like the previous)\n",
    "\n",
    "A) Verify that for the simple case where $f(t, u) = f(t)$,\n",
    "this give the same result as the Composite Midpoint rule for integration (same cooment as above).\n",
    "\n",
    "B) Do one step of this method for the canonical example $du/dt = ku$, $u(t_0) = u_0$.\n",
    "It will have the form $U_1 = G U_0$ where the growth factor $G$ approximates the factor $g=e^{kh}$ for the exact solution $u(t_1) = g u(t_0)$ of the ODE.\n",
    "\n",
    "C) Compare to the growth factors $G$ seen for previous methods, and to the growth factor $g$ for the exact solution."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a name=\"exercise-3\"></a>\n",
    "### Exercise 3\n",
    "\n",
    "A) Apply Richardson extrapolation to one step of Euler's method, using the values given by step sizes $h$ and $h/2$.\n",
    "\n",
    "B) This should give a second order accurate method, so compare it to the above two methods."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a name=\"exercise-4\"></a>\n",
    "### Exercise 4\n",
    "\n",
    "A) Verify that for the simple case where $f(t, u) = f(t)$,\n",
    "this gives the same result as the Composite Simpson's Rule for integration.\n",
    "\n",
    "B) Do one step of this method for the canonical example $du/dt = ku$, $u(t_0) = u_0$.\n",
    "It will have the form $U_1 = G U_0$ where the growth factor $G$ approximates the factor $g=e^{kh}$ for the exact solution $u(t_1) = g u(t_0)$ of the ODE.\n",
    "\n",
    "C) Compare to the growth factors $G$ seen for previous methods, and to the growth factor $g$ for the exact solution."
   ]
  }
 ],
 "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"
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 },
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