{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### **Course**: BIO-341 [_Dynamical systems in biology_](https://moodle.epfl.ch/course/info.php?id=14291)\n",
    "\n",
    "**Professor**: _Julian Shillcock_ & _Felix Naef_\n",
    "\n",
    "SSV, BA5, 2025\n",
    "\n",
    "Note that this document is primarily aimed at being consulted as a Jupyter notebook, the PDF rendering being not optimal."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from ipywidgets import interact\n",
    "from sklearn.linear_model import LinearRegression"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Ex 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The Koch curve is a continuous, non-differentiable curve defined in the unit interval (0,1). It is constructed using the following steps:\n",
    "\n",
    "1)\tDraw a unit interval\n",
    "2)\tRemove the middle third segment, and replace it by two sides of a triangle with side length 1/3.\n",
    "3)\tFor each straight segment of the curve, remove the middle third, and replace it by the two sides of a triangle whose lengths are equal to one third of the length of the original segment.\n",
    "4)\tRepeat step 3 infinitely many times.\n",
    "\n",
    "Using the box counting method of calculating the Fractal Dimension find the dimension of the Koch curve (see figure below):\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 600x800 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "def koch_iter(points):\n",
    "    new_points = []\n",
    "    for i in range(len(points) - 1):\n",
    "        p1 = points[i]\n",
    "        p2 = points[i+1]\n",
    "        v = p2 - p1\n",
    "        s = p1 + v/3.0\n",
    "        t = p1 + 2.0*v/3.0\n",
    "        # rotate by +60 degrees around s to get the peak\n",
    "        rot = np.array([[np.cos(np.pi/3), -np.sin(np.pi/3)],\n",
    "                        [np.sin(np.pi/3),  np.cos(np.pi/3)]])\n",
    "        peak = s + rot.dot((t - s))\n",
    "        new_points += [p1, s, peak, t]\n",
    "    new_points.append(points[-1])\n",
    "    return np.array(new_points)\n",
    "\n",
    "def koch_curve(n):\n",
    "    pts = np.array([[0.0, 0.0], [1.0, 0.0]])\n",
    "    for _ in range(n):\n",
    "        pts = koch_iter(pts)\n",
    "    return pts\n",
    "\n",
    "fig, axes = plt.subplots(4, 1, figsize=(6, 8))\n",
    "for idx, n in enumerate([0, 1, 2, 3]):\n",
    "    pts = koch_curve(n)\n",
    "    axes[idx].plot(pts[:,0], pts[:,1], color=\"black\", linewidth=1)\n",
    "    axes[idx].set_title(f\"Iteration {n}\")\n",
    "    axes[idx].set_aspect('equal', adjustable='box')\n",
    "    axes[idx].axis('off')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Box-counting dimension of the Koch curve\n",
    "\n",
    "The box-counting dimension of a set $F\\subset \\mathbb{R}^2$ is defined as\n",
    "\n",
    "$$\n",
    "d = \\lim_{\\varepsilon \\to 0} \\frac{\\ln N(\\varepsilon)}{\\ln(1/\\varepsilon)},\n",
    "$$\n",
    "\n",
    "where  $N(\\varepsilon)$ is the minimal number of squares of side length $\\varepsilon$ needed to cover $F$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Ex 2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "The sine map is defined by the iteration scheme:\n",
    "\\begin{equation}\n",
    "    X_{n+1} = r \\sin(\\pi x_n)\n",
    "\\end{equation}\n",
    "For a constant parameter $ 0 < r < 1 $, and an initial value that satisfies $ 0 < x_0 < 1 $.\n",
    "\n",
    "\n",
    "Write a Python code that iterates the above map, given the parameters: $ r $, the number of iterations $ N $, and an initial point $ x_0 $. The code should either write the iterates to a file for later plotting, or plot them directly. Use 2000 iterations and discard the first 1000 points for plotting or calculations to remove the initial transients in the map."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In order to find the fixed point we want to find the point $x_{FP}$ such that:\n",
    "$$\n",
    "x_{FP} = r sin( \\pi x_{FP})\n",
    "$$\n",
    "One solution of the equation is obviously 0, for the other ones (if any), we need to use numerical approaches"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.optimize import fsolve\n",
    "import numpy as np\n",
    "\n",
    "def sin_map(x, r):\n",
    "    '''\n",
    "    Sinusoidal map\n",
    "    '''\n",
    "    return r * np.sin(np.pi * x)\n",
    "\n",
    "def sin_map_prime(x, r):\n",
    "    '''\n",
    "    Derivative of the sinusoidal map\n",
    "    '''\n",
    "    return r * np.pi * np.cos(np.pi * x)\n",
    "\n",
    "def equation(x, r):\n",
    "    return sin_map(x,r) - x\n",
    "\n",
    "def find_fixed_point(r):\n",
    "    initial_guess = 0.7\n",
    "    return fsolve(equation, initial_guess, args=(r,))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## exercise 2.1\n",
    "\n",
    "Wrap the iteration function in a loop over a user-defined range of r values, and plot all the iterates for each r value in the same graph. It should start to look like the figure below, i.e., for each value of r, all the iterates produced from the initial value x0 should be plotted vertically. If you want, you can change the value of x0 for each value of r, but because the map is “chaotic”, it doesn’t really matter. NB. Don’t use x0 = 0, or 1!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def trajectory(r, N, x0):\n",
    "    '''\n",
    "    Compute the trajectory of the sinusoidal map\n",
    "    '''\n",
    "    x = np.zeros(N)\n",
    "    x[0] = x0\n",
    "    for i in range(1, N):\n",
    "        x[i] = sin_map(x[i-1], r)\n",
    "    return x"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For this exercise we just need to run the trajectory function for different values of r.   \n",
    "Notice how we run the system for 100 iterations, but than we plot only the last 50: we basically make sure that the system has time to evolve from x0 to the asymptotic solution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'x')"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1000x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x0 = 0.5\n",
    "n_last = 50\n",
    "\n",
    "plt.figure(figsize=(10, 10))\n",
    "for r in np.linspace(0.1, 2.0, 1000):\n",
    "\n",
    "    x = np.ones(n_last)*r\n",
    "    tr = trajectory(r, 100, x0)\n",
    "    y = tr[-n_last:]\n",
    "\n",
    "    plt.scatter(x, y, s=0.1, c = 'black')\n",
    "\n",
    "plt.title('$x_0 = $ ' + str(x0))\n",
    "plt.xlabel('r')\n",
    "plt.ylabel('x')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Zooming in to a more narrow range of $r$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'x')"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1000x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n_last = 50\n",
    "\n",
    "plt.figure(figsize=(10, 10))\n",
    "\n",
    "xx = []\n",
    "yy = []\n",
    "\n",
    "r_span = np.linspace(0.69, 0.87, 1000)\n",
    "\n",
    "for r in r_span:\n",
    "\n",
    "    x = np.ones(n_last)*r\n",
    "    xx.append(x)\n",
    "    \n",
    "    tr = trajectory(r, 100, x0)\n",
    "    y = tr[-n_last:]\n",
    "    yy.append(y)\n",
    "    plt.scatter(x, y, s=0.1, c = 'black')\n",
    "\n",
    "# plt.xlim(0.856, 0.875)\n",
    "plt.xlabel('r')\n",
    "plt.ylabel('x')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercise 2.2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "1.2 For r = 0.6, iterate the map for at least 5 initial values randomly chosen between (0, 1). What do you observe? Then repeat for r = 0.72 and 0.75. What do you observe in your plot of xn against increasing r values?\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### r = 0.6"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x143bfe700>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0, 1, 100)\n",
    "r = 0.6\n",
    "solution = find_fixed_point(r)\n",
    "plt.plot(x, x, label='y=x')\n",
    "plt.plot(x, sin_map(x , r), label='y= r * sin(pi*x)')\n",
    "plt.scatter(solution, solution, s=60 , label='fixed point')\n",
    "\n",
    "plt.xlabel('$X_n$')\n",
    "plt.ylabel('$X_{n+1}$')\n",
    "\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's study the stability of the FP"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.8849555921538759 [-0.47325162]\n"
     ]
    }
   ],
   "source": [
    "print(sin_map_prime(0.,r) ,sin_map_prime(solution, r))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "therefore zero is unstable (the abs value of the multiplier is larger than 1) while the other FP is stable"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, '$X_{n}$')"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# randomly choose 5 values of x0 beween 0 and 1\n",
    "x0 = np.random.random(5)\n",
    "trajs = []\n",
    "\n",
    "for s in x0:\n",
    "    trajs.append( trajectory(r, 10, s))\n",
    "\n",
    "for traj in trajs:\n",
    "    plt.plot(traj, label = 'x0 = ' + str(traj[0]))\n",
    "plt.legend()\n",
    "plt.title('r = ' + str(r))\n",
    "plt.xlabel('$n$')\n",
    "plt.ylabel('$X_{n}$')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "All trajectories converge to value x_final"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.580674158924557\n"
     ]
    }
   ],
   "source": [
    "print(trajs[0][-1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### r = 0.72"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x143f70b50>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0, 1, 100)\n",
    "r2 = 0.72\n",
    "plt.plot(x, x, label='y=x')\n",
    "plt.plot(x, sin_map(x , r2), label='y= r * sin(pi*x)')\n",
    "solution2 = find_fixed_point(r2)\n",
    "plt.scatter(solution2, solution2, s=60 , label='fixed point')\n",
    "\n",
    "plt.xlabel('$X_n$')\n",
    "plt.ylabel('$X_{n+1}$')\n",
    "\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Both the fixed points are unstable!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.261946710584651 [-1.00016274]\n"
     ]
    }
   ],
   "source": [
    "print(sin_map_prime(0.,r2) ,sin_map_prime(solution2, r2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, '$X_{n}$')"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x0 = np.random.random(5)\n",
    "trajs = []\n",
    "\n",
    "for s in x0:\n",
    "    trajs.append( trajectory(r2, 10, s))\n",
    "\n",
    "for traj in trajs:\n",
    "    plt.plot(traj, label = 'x0 = ' + str(traj[0]))\n",
    "plt.legend()\n",
    "plt.title('r = ' + str(r2))\n",
    "\n",
    "plt.xlabel('$n$')\n",
    "plt.ylabel('$X_{n}$')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### r = 0.75"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x143f43f10>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0, 1, 100)\n",
    "r3 = 0.75\n",
    "plt.plot(x, x, label='y=x')\n",
    "plt.plot(x, sin_map(x , r3), label='y= r * sin(pi*x)')\n",
    "solution3 = find_fixed_point(r3)\n",
    "plt.scatter(solution3, solution3, s=60 , label='fixed point')\n",
    "\n",
    "plt.xlabel('$X_n$')\n",
    "plt.ylabel('$X_{n+1}$')\n",
    "\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Both FP are unstable!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.356194490192345 [-1.04183619]\n"
     ]
    }
   ],
   "source": [
    "print(sin_map_prime(0.,r3) ,sin_map_prime(solution2, r3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, '$X_{n}$')"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x0 = np.random.random(5)\n",
    "trajs = []\n",
    "\n",
    "for s in x0:\n",
    "    trajs.append( trajectory(r3, 20, s))\n",
    "\n",
    "for traj in trajs:\n",
    "    plt.plot(traj[:], label = 'x0 = ' + str(traj[0]))\n",
    "#plot orizontal line\n",
    "plt.axhline(y=solution3, color='r', linestyle='-', label='fixed point')\n",
    "\n",
    "plt.legend()\n",
    "plt.title('r = ' + str(r3))\n",
    "\n",
    "plt.xlabel('$n$')\n",
    "plt.ylabel('$X_{n}$')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# taking the 2 asymptotic values\n",
    "v1 = trajs[0][-1]\n",
    "v2 = trajs[0][-2]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Understanding 2-periodic solutions with second-iterate maps"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can understand this period 2 solution looking at the second-iterate map: this is a map that instead of sending to the future x_n by one time unit, it sends it by 2 time units:\n",
    "\n",
    "basically the original map $f$ reads:\n",
    "$$\n",
    "x_{n+1} = f(x_{n})\n",
    "$$\n",
    "while if we re-applying the map we get the second-iterate map *$g$*:\n",
    "$$\n",
    "x_{n+2} = f(x_{n+1}) = f(f(x_{n})) = g(x_{n})\n",
    "$$\n",
    "Studying this map, we have 3 fixed point, where the one we found earlier is unstable, while the other two are stable (from the plot we can see that the derivative at the intersection with y = x is close to zero)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x144dd9670>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot second degree map\n",
    "\n",
    "x = np.linspace(0, 1, 100)\n",
    "r3 = 0.75\n",
    "plt.plot(x, x, label='y=x')\n",
    "plt.plot(x, sin_map(sin_map(x , r3), r3), label='f(f(x))')\n",
    "solution3 = find_fixed_point(r3)\n",
    "plt.scatter(solution3, solution3, s=60 , label='unstable FP in original map')\n",
    "plt.scatter(v1, v1, s=60 , label='stable FP in second iterate map')\n",
    "plt.scatter(v2, v2, s=60 , label='stable FP in second iterate map')\n",
    "\n",
    "plt.title('SECOND-ITERATE MAP r = ' + str(r3))\n",
    "\n",
    "plt.xlabel('$X_n$')\n",
    "plt.ylabel('$X_{n+2}$')\n",
    "\n",
    "plt.legend()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Ex. 2.3"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Keep increasing r, and plot the iterates produced. At what r value does “chaos” set in for the sine map? i.e., when does a (nearly) infinite number of fixed points appears (cp. Logistic map shown in the figure below, for which lambda ~ 3.6 is the transition to chaos. Note that lambda in the logistic map plays the role of r for the sine map.) Do you observe any “stability windows” in which the number of fixed points is small? (cp. Logistic map for lambda ~ 3.82, where only 3 fixed points appear.)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Chaos emerges aroud r = 0.86\n",
    "\n",
    "theoretical values of $r_{\\inf} = r_0 + \\Delta_0 \\Sigma_{n=0} \\frac{1}{\\delta^n}$\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There are stability windows around r = 1.1 and 1.6"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Interactive plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "7adf700c243142fb9462721726af48cf",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(FloatSlider(value=0.55, description='r', max=1.0, min=0.1, step=0.01), Output()), _dom_c…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<function __main__.plot_map(r)>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# now plot the map for with a number of times\n",
    "\n",
    "\n",
    "def plot_map(r):\n",
    "    x = np.linspace(-1, 1, 1000)\n",
    "\n",
    "    plt.figure(figsize=(15, 5))\n",
    "    plt.suptitle('maps')\n",
    "\n",
    "    plt.subplot(1, 2, 1)\n",
    "    plt.plot(x, x, label='y=x')\n",
    "    plt.plot(x, sin_map(x , r), label='f(x)')\n",
    "    plt.title('number of FP changes with r = ' + str(r))\n",
    "    plt.legend()\n",
    "\n",
    "    plt.subplot(1, 2, 2)\n",
    "    plt.plot(x, x, label='y=x')\n",
    "    plt.plot(x, sin_map(sin_map(x , r),r), label='f(f(x))')\n",
    "    plt.title('SECOND-ITERATE MAP r = ' + str(r))\n",
    "    plt.legend()\n",
    "\n",
    "\n",
    "interact(plot_map, r=(0.1, 1.0, 0.01))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we plots two rajectories, with very similar but not idenitcal initial conditions: on the onset of chaos this trajectories start to diverge fro each other"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "7ff6104faae745ac9ec6b216d64cefe8",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(FloatSlider(value=1.05, description='r', max=2.0, min=0.1, step=0.01), Output()), _dom_c…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<function __main__.plot_map(r)>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "trajectory(r, 10, s)\n",
    "x0 = 0.5\n",
    "x02 = 0.51\n",
    "\n",
    "def plot_map(r):\n",
    "\n",
    "\n",
    "    plt.figure(figsize=(15, 5))\n",
    "    plt.suptitle('maps')\n",
    "    tr = trajectory(r, 1000, x0)\n",
    "    tr2 = trajectory(r, 1000, x02)\n",
    "    # plt.subplot(1, 2, 1)\n",
    "\n",
    "    plt.plot(tr[-20:], label='x0 = ' + str(tr[0]))\n",
    "    plt.plot(tr[-20:], 'o')\n",
    "\n",
    "\n",
    "    plt.plot(tr2[-20:], label='x0 = ' + str(tr2[0]))\n",
    "    plt.plot(tr2[-20:], 'o')\n",
    "\n",
    "    plt.xlabel('n')\n",
    "    plt.ylabel('$X_n$')\n",
    "    plt.legend()\n",
    "  \n",
    "\n",
    "\n",
    "interact(plot_map, r=(0.1, 2.0, 0.01))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Ex 3"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " Extend your code to output the iterates from the sine map for a sequence of r values between 0.1 and 1, taking at least 20 values, and randomly setting the initial point for each one. Plot the fixed point(s) on the Y axis against the r value on the X axis, so you get a plot similar to the one above.\n",
    "Then repeat this accurately enough that you can estimate the successive r values at which the number of fixed points doubles (you may need more than 20 values of r, and you may need to zoom in on small portions of the r-axis to get sufficient accuracy. So you’ll need to examine many little graphs across the r axis to locate the values of r where the period doubling occurs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.lines.Line2D at 0x14a0c3370>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i,r in enumerate(r_span):\n",
    "    plt.scatter(xx[i], yy[i], s =0.1 , c = 'black')\n",
    "\n",
    "# vertical lineb\n",
    "\n",
    "b1= 0.715\n",
    "b2= 0.831\n",
    "b3= 0.858\n",
    "\n",
    "plt.axvline(x=b1, color='r', linestyle='-')\n",
    "plt.axvline(x=b2, color='r', linestyle='-')\n",
    "plt.axvline(x=b3, color='r', linestyle='-')\n",
    "\n",
    "# horizontal line\n",
    "plt.axhline(y=0.82, color='r', linestyle='-', c = 'blue')\n",
    "plt.axhline(y=0.445, color='r', linestyle='-', c = 'blue')\n",
    "\n",
    "plt.axhline(y=0.445, color='r', linestyle='-', c = 'blue')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Estimating Feigenbaum number"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4.296296296296292"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "delta = (0.831 - 0.715) / (0.858 - 0.831)\n",
    "delta"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Zooming in mre to get a more accurate esitamtion of the F. numbers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.33, 0.45)"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1000x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 10))\n",
    "\n",
    "for r in np.linspace(0.856, 0.875, 1000):\n",
    "\n",
    "    x = np.ones(n_last)*r\n",
    "    tr = trajectory(r, 100, x0)\n",
    "    y = tr[-n_last:]\n",
    "\n",
    "    plt.scatter(x, y, s=0.1, c = 'black')\n",
    "\n",
    "# vertical line\n",
    "plt.axvline(x=0.8574, color='r', linestyle='-')\n",
    "plt.axvline(x=0.8637, color='r', linestyle='-')\n",
    "plt.axvline(x=0.8651, color='r', linestyle='-')\n",
    "\n",
    "vv1 = 0.8574\n",
    "vv2 = 0.8637\n",
    "vv3 = 0.8651\n",
    "\n",
    "plt.ylim(0.33, 0.45)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Zooming in, we get a bit closer to the real values of $\\delta$= 0.6692"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4.500000000000119"
      ]
     },
     "execution_count": 95,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "delta_true = 0.6692\n",
    "delta = (vv2 - vv1) / (vv3 - vv2)\n",
    "delta"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Theretical value for $r_{inf}$ "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8764447400241837"
      ]
     },
     "execution_count": 97,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "diff = vv2 - vv1\n",
    "r_inf = vv1 + diff * 1 / (1 - delta_true)\n",
    "r_inf"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Ex 3.2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Ex 4:  Fractal dimension of the sine map"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Ex 4.1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Find a value of r such that you get a lot of fixed points (i.e., you are in a region for the sine map corresponding to the region r ~ 3.95 for the logistic map). Generate 10,000 points from a randomly-chosen initial point x0, and write them to a file. Discard the first 5,000. Duplicate the data into a second column shifting each value by one. So, for each row in the file, column one contains xn, and column two contains xn+1. Plot xn+1 against xn."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, '$X_{n+1}$')"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAk4AAAGzCAYAAADZvZivAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8pXeV/AAAACXBIWXMAAA9hAAAPYQGoP6dpAABjPElEQVR4nO3de1yUVf4H8M8wMCAjjCIOlzQcNW+jmRcU9ReaGuDddBVXI+1nmO2qmfarzC0vv81LrdVmWVq6WmtqhnjJC6mptCsoKpiO13JSVHC8DjIql5nz+4Pl+TGCOCDwzAyf9+s1r+Z5OPPwOY3I1zPnOUchhBAgIiIioofykDsAERERkatg4URERETkIBZORERERA5i4URERETkIBZORERERA5i4URERETkIBZORERERA5i4URERETkIE+5A7gTm82Gy5cvw8/PDwqFQu44RERE5AAhBG7fvo3Q0FB4eJQ/psTCqQpdvnwZjRs3ljsGERERVUJmZiYaNWpUbhsWTlXIz88PQNH/eH9/f5nTEBERkSNycnLQuHFj6fd4eVg4VaHij+f8/f1ZOBEREbkYR6bZcHI4ERERkYNYOBERERE5iIUTERERkYNYOBERERE5iIUTERERkYNYOBERERE5iIUTERERkYNYOBERERE5iIUTERERkYNYOBERERE5iIUTERERkYNcsnBKTk7GoEGDEBoaCoVCgY0bNz70Nfv27UOnTp3g4+ODpk2b4osvvijVJiEhAW3atIG3tzfatGmDxMTEakhPRERErsolCyeLxYL27dvj008/dai90WhE//798fTTTyM9PR1vv/02pkyZgoSEBKlNSkoKYmNjERcXh6NHjyIuLg4jR47EgQMHqqsbRERE5GIUQgghd4hHoVAokJiYiKFDhz6wzZtvvonNmzfj5MmT0rmJEyfi6NGjSElJAQDExsYiJycH27dvl9rExMSgfv36WLNmjUNZcnJyoNFoYDab4e/vX7kOERFRhVksFixatAiLFy+Gt7c38vPzcfXq1Qe29/b2hq+vL27evAkACAwMxN69e6HX62sqMjmRivz+dskRp4pKSUlBVFSU3bno6GgcOnQIBQUF5bbZv3//A6+bl5eHnJwcuwcREdUMo9GIjh07Qq1Wo0GDBpg1axauXbuGS5culVs0AUV/fxcXTQBw7do1tG3bFl5eXtBoNAgPD4fRaKzuLpALqhWFU3Z2NoKCguzOBQUFobCwENeuXSu3TXZ29gOvO3/+fGg0GunRuHHjqg9PRER2Vq1aBQ8PD3To0AEZGRm4c+cO8vLypK83atQIDRs2LPcaPj4+qF+/fqnzhYWFyMnJwaFDh9C0aVN4eHhg06ZNVd4Hcl21onACij7SK6n4E8qS58tqc/+5kmbMmAGz2Sw9MjMzqzAxEREVs1gsmDt3LjQaDcaNGwchBMxmMwICAuDr64u6detCqVRi48aNyMzMhMlkghDigY+7d+/ixo0b0vG+ffugVqvh6elp932FEBg6dCg6duzIESgCAHg+vInrCw4OLjVyZDKZ4OnpiQYNGpTb5v5RqJK8vb3h7e1d9YGJiEhiMBjwzDPPlPr4rVevXli3bh20Wu0jf4/IyEjk5uYCAJKSktC/f3/YbDbp6+np6WjZsiXat2+P7777Djqd7pG/J7mmWjHi1K1bN+zcudPu3I8//ojOnTvDy8ur3Dbdu3evsZxERPT/jEYjwsPD8eSTT9oVTR4eHli7di327NlTJUXT/aKjo2G1WpGbm4u//OUvqFOnDgCgoKBA+givUaNGMBgMVf69yfm5ZOGUm5uLjIwMZGRkACj64crIyMCFCxcAFH2E9sILL0jtJ06ciPPnz2PatGk4efIkVqxYgeXLl+P111+X2rz66qv48ccfsXDhQpw6dQoLFy7Erl27MHXq1JrsGhFRrWexWPDnP/8ZTZs2xaFDh2Cz2aBUKtGsWTMcP34cVqsVsbGx1Z5DrVbjf//3f3H16lXMmTNH+oc2AFy6dAlt27bl/KfaSLigPXv2CAClHmPHjhVCCDF27FjRs2dPu9fs3btXdOjQQahUKtGkSRPx+eefl7ru+vXrRcuWLYWXl5do1aqVSEhIqFAus9ksAAiz2VzZrhER1WoHDx4Ufn5+dn+3K5VKcfDgQbmjiXPnzol27dqV+t3TqFEjcfz4cbnj0SOoyO9vl1/HyZlwHSciospLTk5Gz5497c499thjSEpKcqr1lQwGA2JiYnDx4kXpnFKpxNGjR50qJzmO6zgREZHLsFgsmDlzpl3R5Ofnh3PnzuHixYtOV4zo9XpkZmbabfdltVr50V0twcKJiIhkY7FY8N///d+YN2+edC4sLAxHjx51+jvXhgwZgoMHD8LHx0c6N3ToUDz//POwWCwyJqPqxMKJiIhkkZaWhsceewyJiYnw9PSEQqHAzJkzYTAYnL5oKhYeHo7z588jOjpaOrd69Wro9Xqu++SmWDgREVGNS0tLQ5cuXWA2m1FQUIC6devi2LFj+Otf/wq1Wi13vArRarXYsWMHPvnkE+nc+fPn0bp1ay5Z4IZYOBERUY1KS0tD165dpWMfHx+cPn3a6eYyVdTkyZOxb98+6TgvLw/t27dHWlqajKmoqrFwIiKiGmOxWNC3b1/p2M/PD8nJydWykKUcIiMjcfDgQWlXCavVih49evBjOzfCwomIiGrEunXr4OfnB6VSCQ8PD3Tp0gVZWVkIDw+XO1qVCg8Px4ULFxAYGAigqHhq1qwZkpKSZE5GVYGFExERVTuDwYBRo0ZBCIGbN28iMjISW7Zscbn5TI7SarU4ePAgunfvDpvNBiEEYmJikJycLHc0ekQsnIiIqFoZDAY89dRT0nHbtm2xZcsWt/l47kF0Oh3+/e9/o3379tK53r1782M7F8fCiYiIqk3xRr2FhYUAiuY07d69221HmsqSmJgofWwnhED37t1hMplkTkWVxcKJiIiqhcFggF6vh4eHB5RKJbRaLVJSUtx+pOl+Op0OBoMBzZs3h4eHB7Kzs9GmTRuOPLkoFk5ERFTlSo405eXlITY2FufOnXP5JQcqS6vV4t///jcUCgUA4Pr164iMjOQK4y6IhRMREVWp4iUH7t27B5vNhmHDhmHZsmW16uO5smi1WuzatUs6vnjxIiIjI/mxnYth4URERFXGZDIhJiYGmZmZUCgUCAwMxIoVK2p90VQsMjLSbnPgI0eOYPDgwRx5ciEsnIiIqMrEx8fjX//6F7y9veHv71/rJoI7YsiQIXYrjB84cABz5syRMRFVhEIIIeQO4S5ycnKg0WhgNpvh7+8vdxwiohq1bt06jBo1CgDg5eWFixcv1rqJ4BVhMBjQtm1bAIBCocBvv/3mMpsbu5uK/P7miBMRET0yo9EoFU0AsGvXLhZND6HX69GvXz8ARcsUNG3aFJs2bZI5FT0MCyciInokFosFAwcORHBwMABg7dq1iIyMlDmVa1i5cqVdgTl06FBuCuzkWDgREVGlWSwWvPjii8jOzoZarca5c+cQGxsrdyyXodVqkZqaCl9fX+lc//79ZUxED8PCiYiIKq1nz55Yv349bty4AZVKxTk6laDT6XD8+HF4eBT9Sr527RpHnZwYCyciIqqUxYsX4/Dhw9Lx+vXrZUzj2nQ6Hfbs2QMA8PDwQEREBAwGg8ypqCwsnIiIqMJWrVqFKVOmSMedOnWqtauCV5XIyEjMmTMHNpsNQgj06dOH6zs5IRZORERUYePGjZOe+/n52a1LRJU3ffp0NGvWDEIImEwmfPjhh3JHovuwcCIiogr529/+ZneckpLCRS6riFqtxs6dO6FSqaBQKPDuu+8iKSlJ7lhUAgsnIiJymMlkwv/8z/9Ixxs3buRHdFVMp9PhX//6F2w2GwBgwIAB3M/OibBwIiIihxgMBjRv3hxKpRIA8MEHH2DIkCEyp3JP4eHhaNSoEQDAarVi0KBBnO/kJFg4ERGRQ/r06YPbt2/DarWiZcuWeP311+WO5NZ27NgBT09PKJVK/PLLL1i1apXckQgsnIiIyAFJSUm4cuWKdJyQkCBjmtpBr9cjIyMDarUaVqsVU6ZM4XwnJ8DCiYiIymU0GhETEyMdL126lPOaaoher8eTTz6JgoICWK1WzndyAiyciIioXCNGjJCeN2jQABMmTJAxTe3z9ddfIyAgAACkkSeSDwsnIiJ6oOTkZGl1cIVCge3bt8ucqPbR6XQ4efKktOTDd999xy1ZZOSyhdOSJUug0+ng4+ODTp064eeff35g23HjxkGhUJR6lBxqXrlyZZlt7t27VxPdISJyOkajEc8884x0PGfOHISHh8uYqPbSarUIDg4GAAgh0K1bNxiNRplT1U4uWTitW7cOU6dOxcyZM5Geno6nn34a/fr1w4ULF8ps//e//x1ZWVnSIzMzEwEBAXbDzwDg7+9v1y4rKws+Pj410SUiIqczcuRIaS2hunXrYtq0aTInqt02bdokbQRstVoxcuRImRPVTi5ZOH344YcYP348XnrpJbRu3Roff/wxGjdujM8//7zM9hqNBsHBwdLj0KFDuHnzJl588UW7dgqFwq5dcXVPRFTbJCcn49ChQ9LxTz/9xNXBZabX65GamiodZ2RkcNRJBi5XOOXn5+Pw4cOIioqyOx8VFYX9+/c7dI3ly5ejb9++CAsLszufm5uLsLAwNGrUCAMHDkR6enq518nLy0NOTo7dg4jI1RmNRvTq1Us6Hj58OD+icxLh4eEYNmwYAKCwsJALkMrA5Qqna9euwWq1IigoyO58UFAQsrOzH/r6rKwsbN++HS+99JLd+VatWmHlypXYvHkz1qxZAx8fH/To0QNnz5594LXmz58PjUYjPRo3bly5ThEROZHBgwdDCAEA8PT0xJIlS2RORCWV/HTl2LFjXNuphrlc4VRMoVDYHQshSp0ry8qVK1GvXj0MHTrU7nxERASef/55tG/fHk8//TS+++47tGjRAosXL37gtWbMmAGz2Sw9MjMzK9UXIiJnkZaWhuPHj0vHu3fvhlarlTER3U+r1WLjxo3ScUxMDAwGg3yBahmXK5wCAwOhVCpLjS6ZTKZSo1D3E0JgxYoViIuLg0qlKreth4cHwsPDyx1x8vb2hr+/v92DiMiVRUdHS8/btm2LyMhIGdPQgwwZMsTuU47nnntOxjS1i8sVTiqVCp06dcLOnTvtzu/cuRPdu3cv97X79u3Dr7/+ivHjxz/0+wghkJGRgZCQkEfKS0TkKpKSknDz5k3pePPmzTKmoYfZvn07vLy8AABnz57lR3Y1xFPuAJUxbdo0xMXFoXPnzujWrRuWLVuGCxcuYOLEiQCKPkK7dOkSvv76a7vXLV++HF27dkXbtm1LXXPOnDmIiIjAE088gZycHHzyySfIyMjAZ599ViN9IiKSk8ViwaBBg6TjjRs3QqfTyZiIHkav1yMsLAy//vorAGDAgAEwm828+7GauWThFBsbi+vXr2Pu3LnIyspC27ZtsW3bNukuuaysrFJrOpnNZiQkJODvf/97mde8desWJkyYgOzsbGg0GnTo0AHJycno0qVLtfeHiEhuJedzDhgwgHdruYiNGzeiXbt2EELAarVi5syZ+Pjjj+WO5dYUovjWCXpkOTk50Gg0MJvNnO9ERC7DZDKhRYsWuHfvHurUqYPTp09zQrgLSUtLs/tH/r59+zg3rYIq8vvb5eY4ERFR1XrxxRdhNpths9nw5ptvsmhyMeHh4XYb/w4cOFDGNO6PI05ViCNORORqjEYjmjVrBiEEVCoVbty4wTkyLshisSAoKAgWiwVKpRJnz57lHLUK4IgTERE9lMViQd++faVNzTdv3syiyUWp1Wq88cYb0l52zz//vMyJ3BcLJyKiWmrx4sXSXmfNmze3W8OJXM/06dPRtGlTAMD+/fuxatUqmRO5J35UV4X4UR0RuQqTyYQmTZrg7t278PDwwC+//AK9Xi93LHpERqNRKp6Aoj1YOYr4cPyojoiIyjVx4kTcvXsXAFC3bl0WTW5Cp9PZ7aIxd+5cGdO4JxZORES1TFpamt1eZ1u2bJEvDFW53bt3S8/ff/997mNXxVg4ERHVMv3795c2Rj948CDX/HEzer0er7/+unTcr18/GdO4HxZORES1iMFgwI0bNwAUbZoeHh4ucyKqDrNnz4ZSqQQAZGZmctSpCrFwIiKqJUwmk7QZuoeHB7Zu3SpzIqouarXabl/W4cOHy5jGvbBwIiKqJV588UXk5OTAZrOhS5cuHG1yc4mJiQgMDISXlxfy8vJgMpnkjuQWWDgREdUCJpMJO3bskI6//fZbGdNQTdDpdJg9ezb8/f1x+fJlDB48GBaLRe5YLo+FExFRLfDaa69JzwcMGMDtOGqJcePGwdPTE4WFhTh48CA+/PBDuSO5PC6AWYW4ACYROSOj0Yj27dvj7t27CAgIwLFjx7iRby1iMBik+U4NGjTAtWvXZE7kfLgAJhERScaMGYM7d+7AZrMhKiqKRVMto9frUbduXQDA9evXkZSUJHMi18bCiYjIjZlMJpw+fRpWqxX16tXDokWL5I5EMih5B2VMTAyXJ3gELJyIiNxYXFyctG5TgwYNONpUS0VGRiIgIEA6HjFihIxpXBsLJyIiN2U0GvHjjz9Kx4mJiTKmIbnt2LEDvr6+AIBbt27BaDTKnMg1sXAiInJTzz33nPR86tSp3Mi3lgsPD4dGowEAZGVlcVHMSmLhRETkhgwGA44ePQoA8PLywl//+leZE5Ez2LRpk/T82LFjXBSzElg4ERG5oZIbu27ZsgVqtVrGNOQswsPDMXjwYACAEAKTJ0+WOZHrYeFERORmjEYjMjMzAQA+Pj6Ijo6WORE5ky+//BL+/v7w9PREUlLSQ0edLBYL/vnPf3LV8f9g4URE5GZeeOEFaYRp48aN8oYhp6PVarF//354e3sjPz8fU6ZMKbd9YmIirl27xj9L/8HCiYjIjRgMBvzyyy/w8vLCmDFjONpEZdLr9dBqtcjLy8OGDRvKXdfpueeeQ8OGDTF06NCaC+jEWDgREbmRQYMG4fbt27DZbNyXjMo1fvx42Gw2FBQU2M2Ju59arcaYMWM4T+4/WDgREbmJpKQkGI1GCCHQsGFDLnZJ5Zo8eTKUSiUAIDMzE2lpaTIncg0snIiI3ETJj1JK3nZOVBa1Wo3Q0FDpeMCAATKmcR0snIiI3IDRaITNZgMANG7cmItdkkO2b98OD4+iUuDq1ascdXIACyciIjfwwgsvwMfHB3Xq1MH27dvljkMuQq/XIzU1FQqFAgAwcOBAmRM5PxZOREQuLi0tDYcOHYJCocBzzz3H0SaqkPDwcDRs2BBA0ahTeXfYkQsXTkuWLIFOp4OPjw86deqEn3/++YFt9+7dC4VCUepx6tQpu3YJCQlo06YNvL290aZNG26ISUQuYfDgwSgoKEB+fj4++ugjueOQCxJCSP/t37+/zGmcm0sWTuvWrcPUqVMxc+ZMpKen4+mnn0a/fv1w4cKFcl93+vRpZGVlSY8nnnhC+lpKSgpiY2MRFxeHo0ePIi4uDiNHjsSBAwequztERJWWlpaGmzdvQqFQoF+/fryTjipl69at0vMrV65wlfByKERxmelCunbtio4dO+Lzzz+XzrVu3RpDhw7F/PnzS7Xfu3cvnnnmGdy8eRP16tUr85qxsbHIycmxmxsQExOD+vXrY82aNQ7lysnJgUajgdlshr+/f8U6RURUCQ0aNMCNGzegUqmQmZnJwokqbfDgwdiyZQuUSiXeffddvPvuu3JHqjEV+f3tciNO+fn5OHz4MKKiouzOR0VFYf/+/eW+tkOHDggJCUGfPn2wZ88eu6+lpKSUumZ0dHS518zLy0NOTo7dg4iopqSlpeHGjRsAAA8PDxZN9Ei++uor+Pj4wGq1YtasWVi3bp3ckZySyxVO165dg9VqRVBQkN35oKAgZGdnl/makJAQLFu2DAkJCdiwYQNatmyJPn36IDk5WWqTnZ1doWsCwPz586HRaKRH48aNH6FnREQVU3LdHe4jRo9Kq9XarSA+atQoGdM4L5crnIoV3zpZTAhR6lyxli1bIj4+Hh07dkS3bt2wZMkSDBgwAH/7298qfU0AmDFjBsxms/Qo3o2ciKi6GQwGabRJp9NxTzqqEl988YXdMdd1Ks3lCqfAwEAolcpSI0Emk6nUiFF5IiIicPbsWek4ODi4wtf09vaGv7+/3YOIqCb0798fVqsVnp6e2LJli9xxyE1otVrEx8dLx71795YxjXNyucJJpVKhU6dO2Llzp935nTt3onv37g5fJz09HSEhIdJxt27dSl3zxx9/rNA1iYhqgsViwZUrVwAAderU4bpNVKVKLmmRm5sLo9EoYxrn43KFEwBMmzYNX331FVasWIGTJ0/itddew4ULFzBx4kQARR+hvfDCC1L7jz/+GBs3bsTZs2dhMBgwY8YMJCQkYNKkSVKbV199FT/++CMWLlyIU6dOYeHChdi1axemTp1a090jIipXYmIiXnrpJfj6+uKHH36QOw65GbVajT/84Q/S8ejRo2VM43w85Q5QGbGxsbh+/Trmzp2LrKwstG3bFtu2bUNYWBgAICsry25Np/z8fLz++uu4dOmS9K+zrVu32i3y1b17d6xduxZ/+ctf8M4776BZs2ZYt24dunbtWuP9IyJ6kOTkZEyaNAmTJ0+GyWSCWq2WOxK5oZUrV2Lv3r24du0a0tLSYDAYOLL5Hy65jpOz4jpORFTdNBoNcnJy4O/vD7PZLHcccmOxsbH47rvvAADNmjXDr7/+KnOi6uPW6zgREdVWaWlp0orOTZs2lTkNubvFixejbt26AACr1SpzGufBwomIyEUMGTIEAKBUKu3mcRJVh+J1nerWrYsuXbrIHcdpsHAiInIBRqMRSqUSQNF2UBMmTJA5EdUGn376KXr27InNmzfjjTfe4B52YOFEROQSRowYgYsXL0KlUiE0NJSTwqlGaLVa7NmzB/fu3cMHH3yATz/9VO5IsmPhRETkAs6dOwcAsNls+Otf/ypzGqpNNmzYAKBoP8Tly5fLnEZ+LJyIiJycyWRCYWEhACA0NJSb+VKNio6OxogRI6BSqZCZmVnrt2Fh4URE5MRMJhN69uyJoKAg1KtXj9urkCyKP6K7d+8eBg4cKHMaebFwIiJyYsU7I9y6dQvvvfceFyEkWWi1WjRs2BBAUTGfnJwscyL5sHAiInJSFosF+/fvR15eHvz8/DB27Fi5I1Et1q1bN+n5oEGDZEwiLxZOREROatGiRbhw4QIUCgWCg4N5Jx3JavHixdKfwTt37sBgMMicSB4snIiInNQnn3wCm80GIQRWr14tdxyq5bRaLf7yl79AoVCgsLAQgwcPljuSLFg4ERE5IaPRKO1FFxAQAJ1OJ3MiImDy5MkICAgAUHu3YWHhRETkhEaMGAGr1QovLy9s3bpV7jhEAAC1Wo0+ffrA19cXd+/ehdFolDtSjWPhRETkZEwmE44ePQohBPz8/BAeHi53JCJJ8ea/OTk5iI6OrnXbsLBwIiJyMq+88oq04GXx/nREzkKr1aJZs2awWq3IysrCqlWr5I5Uo1g4ERE5EYPBgE2bNkGhUEChUPBjOnJKq1evhr+/P+7cuYMvv/yyVo06sXAiInIi0dHR0qTbAwcO8GM6cko6nQ5eXl4QQuDYsWP48ssv5Y5UY1g4ERE5CYvFgqysLABFH9GxaCJntnnzZnh6esJms+Hbb7+VO06NYeFEROQk1q5di+bNm0OhUGDSpElyxyEqV3h4OMLCwuDh4YG0tLRasw0LCyciIieRk5MDq9WKP/7xj/jrX/8qdxyih9q4caP00fKAAQNkTlMzWDgRETkBk8mEZcuWwdfXF76+vtxehVyCXq+X/qzeu3cPJpNJ5kTVj4UTEZETeP7553H69GncuHED7733ntxxiBw2depUKBQKWK1WTJgwQe441U4hhBByh3AXOTk50Gg0MJvN8Pf3lzsOEbkIi8UCjUYjrRSen58vdyQih1ksFjRo0AB5eXnw8/NDTk6O3JEqrCK/vzniREQksxdeeEGaJ/LnP/9Z5jREFaNWqxEdHQ2lUgmVSuX227CwcCIiktHixYuxYcMG6ZiTwskVffnllwgMDMSdO3cwZswYueNUKxZOREQymjJlit0xJ4WTK9JqtWjatCmEEEhPT4fBYJA7UrVh4UREJJP7t6lYunSpTEmIHt3q1asBAEIIDB8+XOY01YeFExGRTN544w2749pwRxK5L51Oh0GDBkGhUOC3335z2wUxWTgREcnAYrFgyZIl0vEnn3wiYxqiqvHpp5+ioKAAhYWFbrsgJgsnIiIZzJw50+548uTJMiUhqjparRZ16tQBAOTm5iItLU3mRFWPhRMRkQxKjjCtXLlSviBEVWzr1q3Sc3ccdXLZwmnJkiXQ6XTw8fFBp06d8PPPPz+w7YYNG/Dss8+iYcOG8Pf3R7du3ZCUlGTXZuXKlVAoFKUe9+7dq+6uEFEts27dOhSvPaxQKDB27FiZExFVncjISDRo0ABA0cKS7rYNi0sWTuvWrcPUqVMxc+ZMpKen4+mnn0a/fv1w4cKFMtsnJyfj2WefxbZt23D48GE888wzGDRoENLT0+3a+fv7Iysry+7h4+NTE10iolpk1KhR0vPWrVvLmISoekyePBlKpRJ5eXn44x//KHecKuWSW6507doVHTt2xOeffy6da926NYYOHYr58+c7dA29Xo/Y2Fi8++67AIpGnKZOnYpbt25VOhe3XCGih0lLS0OXLl2k43PnzkGn08mYiKjqWSwW1K1bVzrOzc116jXK3HrLlfz8fBw+fBhRUVF256OiorB//36HrmGz2XD79m0EBATYnc/NzUVYWBgaNWqEgQMHlhqRul9eXh5ycnLsHkRE5enXr5/0PCQkhEUTuSW1Wo3Q0FAAgJeXF1atWiVzoqrjcoXTtWvXYLVaERQUZHc+KCgI2dnZDl1j0aJFsFgsGDlypHSuVatWWLlyJTZv3ow1a9bAx8cHPXr0wNmzZx94nfnz50Oj0UiPxo0bV65TRFQrGI1GXL9+XTreuXOnjGmIqtePP/4If39/1K1b1+GBDVfgcoVTMYVCYXcshCh1rixr1qzB7NmzsW7dOmi1Wul8REQEnn/+ebRv3x5PP/00vvvuO7Ro0QKLFy9+4LVmzJgBs9ksPTIzMyvfISJye0OHDpWe161bF3q9Xr4wRNVMr9dj6NChqFu3LtLS0txmkrjLFU6BgYFQKpWlRpdMJlOpUaj7rVu3DuPHj8d3332Hvn37ltvWw8MD4eHh5Y44eXt7w9/f3+5BRPQgJ0+elJ6XvGWbyF198MEHKCgowJkzZ9xmkrjLFU4qlQqdOnUqNcS9c+dOdO/e/YGvW7NmDcaNG4dvv/3WoXUlhBDIyMhASEjII2cmItq0aRMKCgoAAL6+voiMjJQ5EVH102q10kjTnj17Su3P6IpcrnACgGnTpuGrr77CihUrcPLkSbz22mu4cOECJk6cCKDoI7QXXnhBar9mzRq88MILWLRoESIiIpCdnY3s7GyYzWapzZw5c5CUlIRz584hIyMD48ePR0ZGhnRNIqJHUfJjumnTpskXhKiGvfLKKwCKPqX59NNPZU7z6FyycIqNjcXHH3+MuXPn4qmnnkJycjK2bduGsLAwAEBWVpbdmk5Lly5FYWEh/vznPyMkJER6vPrqq1KbW7duYcKECWjdujWioqJw6dIlJCcn2902TERUGfdvdvrWW2/JlISo5i1cuBBBQUEoLCzE8uXL5Y7zyFxyHSdnxXWciKgs/v7+uH37NgDg6aefdttd44keZOTIkdLH1YmJiRgyZIjckexU5Pc3C6cqxMKJiO5nNBrRvHlz2Gw2eHl54eLFi3Z39BLVBiVv4PL09JTm+zkLt14Ak4jIlQwePBg2mw0AUK9ePRZNVCtptVrUqVMHAFBYWOjSo64snIiIqhGXICAqUvKmiEGDBsmY5NGwcCIiqiabNm2C1WoFAMTExCA8PFzmRETymTFjBurVqwegaC87g8Egb6BKYuFERFRNhg8fLj13p726iCpDrVajRYsWAACr1ep0E8QdxcKJiKgaGAwGabSpTp06nNtEBGDt2rXw9vaGQqHApUuXYDQa5Y5UYSyciIiqQckdCp599lkZkxA5D51Oh8OHD8PLywv37t1zyVEnLkdQhbgcAREVU6vVuHPnDhQKBbKzszniRFSCp6cnrFYrlEolCgsL5Y7D5QiIiORkMpmkXwYNGjRg0UR0H29vbwBFc51cbWkCFk5ERFVs8uTJ8PDwgI+PD7Zt2yZ3HCKns337dul5yY+1XQELJyKiKrRp0yZ89913sFqtCAsL4xIERGWIjIyEr68vACA3N9elliZg4UREVIX+8Ic/AAAKCgqQkJAgcxoi59WnTx/puStNEmfhRERURdLS0lB8v03r1q2h1+tlTkTkvL766itp1OnixYsuszQBCycioioSFRUlrd3UoUMHmdMQOTetVou2bdsCAPLy8jBs2DCZEzmGhRMRURUwGAy4deuWdPzRRx/JF4bIRaxdu1Z6fuzYMRmTOI6FExFRFRg6dKj0PCoqiksQEDlAp9NJz61WKywWi4xpHMPCiYioCqhUKgCARqPBN998I3MaItfRs2dP6fncuXNlTOIYFk5ERI8oNDQUJ06cAAD4+PhwtImoAr777jsoFAoAwPvvv+/0C2KycCIiekRZWVnS8y1btsiYhMj1aLVaNGrUSDru37+/jGkerloKp8OHD1fHZYmInM7bb79td8wFL4kqruRK4nfv3nXquU7VUjg999xz1XFZIiKnM3/+fLkjELk8vV6PunXrAgBsNhsWLVokc6IH86zsC0eOHFnmeSEEbty4UelARESuwmQy2R3v2LFDpiRErm/r1q3SRPGPPvoI7777rsyJyqYQxcvcVlBAQAC++eYbqUIsJoRAbGwsrly5UiUBXUlOTg40Gg3MZjP8/f3ljkNE1Uyv10uTwgGgkn+dEtF/eHp6SovI7tixA9HR0TXyfSvy+7vSI069evVC3bp17W4jLMYVc4moNihZNH3wwQcyJiFyD3369MGPP/4IoGj/unv37smcqLRKjzhRaRxxIqo9/va3v+F//ud/pGP+VUr06EwmE0JCQmCz2eDh4YGsrKwaWd6jIr+/uRwBEVEllCyaSq4aTkSVp9VqMWPGDCgUCthsNkyYMEHuSKVwxKkKccSJqHYwGo1o2rSpdJybmwu1Wi1jIiL3YbFYEBAQgPz8fHh7e+P69evV/vMly4gT6y8iqi169eolPa9Xrx6LJqIqpFar4eXlBQDIy8tzum1Yqqxw6tSpU1VdisrQvHlzKBQKNG/eXO4oRLWawWDAhQsXpOPiiaxEVHW2bdsmPf/444/lC1IGjji5iN9++83uv0Qkj6ioKOm5SqXiSuFE1SAyMlLavy4/Px+rVq2SOdH/e6TC6euvv8bXX3+NVatW4ebNm9Lx119/XVX5HmjJkiXQ6XTw8fFBp06d8PPPP5fbft++fejUqRN8fHzQtGlTfPHFF6XaJCQkoE2bNvD29kabNm2QmJhYXfEfyezZs+WOQFRrXb58WXq+c+dOGZMQubcpU6ZIz8eNGydfkPs8UuEkhJBGmkr+t7pHn9atW4epU6di5syZSE9Px9NPP41+/frZDZ+XZDQa0b9/fzz99NNIT0/H22+/jSlTpiAhIUFqk5KSgtjYWMTFxeHo0aOIi4vDyJEjceDAgWrtS2XMmTNH7ghEtZLBYLA7joyMlCkJkft777337I6Tk5NlSmKvyu6q69ixI44cOVIVl3qorl27omPHjvj888+lc61bt8bQoUPL3DfqzTffxObNm3Hy5Enp3MSJE3H06FGkpKQAAGJjY5GTk2O30WBMTAzq16+PNWvWOJSrOu+qW7duHUaNGiUd79u3j39pE9WwkJAQZGdnAyj6eyg1NVXmRETuTaPRICcnBwDg4+ODu3fvVsv3ceu76vLz83H48GG7eQZA0byD/fv3l/malJSUUu2jo6Nx6NAhFBQUlNvmQdesabGxsXbH/fr1kykJUe1kMpmkogkANm/eLGMaotph165d0nNnWUW8ygqnw4cPV9WlynXt2jVYrVYEBQXZnQ8KCrL7S62k7OzsMtsXFhbi2rVr5bZ50DWBotskc3Jy7B7VaePGjdLzO3fuVOv3IiJ7ffr0kZ5rNJoaWc2YqLa7/+aLZcuWyZTk/1VZ4eThUbOLkBfPti8mhCh17mHt7z9f0WvOnz8fGo1GejRu3Njh/JUxZMgQu2NnusuAyJ1ZLBYcP35cOuakcKKas3TpUun5yy+/LGOSIi635UpgYCCUSmWpkSCTyVRqxKhYcHBwme09PT3RoEGDcts86JoAMGPGDJjNZumRmZlZmS5VSMmNRJ3pLgMid/bmm2/aHXMJAqKac/+2K3IPGjxy4XTq1Cl88MEH+PLLL7F///5q/7hKpVKhU6dOpf7Ft3PnTnTv3r3M13Tr1q1U+x9//BGdO3eWVid9UJsHXRMAvL294e/vb/eobq+//rrd8aZNm6r9exLVdp999pn0vOQ/XoioZtSvX196LvegwSMXTv369UN+fj5u3bqFpUuXolevXmjZsmVVZHugadOm4auvvsKKFStw8uRJvPbaa7hw4QImTpwIoGgk6IUXXpDaT5w4EefPn8e0adNw8uRJrFixAsuXL7crQl599VX8+OOPWLhwIU6dOoWFCxdi165dmDp1arX2pTJK7pE1fPhwGZMQub9169bZHd//jxciqn73r9U4b948mZIAEI8oIiKi1LnCwsJHvexDffbZZyIsLEyoVCrRsWNHsW/fPulrY8eOFT179rRrv3fvXtGhQwehUqlEkyZNxOeff17qmuvXrxctW7YUXl5eolWrViIhIaFCmcxmswAgzGZzpfrkqHPnzgkA0uPcuXPV+v2IarOSP2tBQUFyxyGqtUr+LFZB+WKnIr+/H3kdp9mzZ6NZs2aIi4t7lMu4hepcx+l+arVaurOuZcuWOHXqVLV+P6LaaNOmTRg6dKh0fPz4cej1evkCEdViQ4YMsVsG5BHLFzsV+f39yIVT//79cfz4cahUKnTp0gXt2rVDu3btMHDgwEe5rEuqycIpOTkZPXv2lI6r8g8QERW5/65bm80mYxoi0mq1uHr1Kho2bAiTyVRl163RBTC3bduGCxcu4MiRI5g0aRIaNGhgt2AVVY/7Vw1PSkqSKQlR7eDoDgJEVH1MJhOEEFVaNFWUwyNOCQkJnIj8EDU54gQA//3f/41//OMfAKp3KXqi2mjVqlXS3TtKpRKFhYXyBiKialMtI06jR4/GRx99VG4bflxUsxYvXgwfHx8ARUvRp6WlyZyIyH2UvOV569at8gUhIqficOG0efNmzJ49G1OmTClVIFmtVqxcuRKtW7eu8oD0YGq12m6i6uDBg2VMQ+Q+7l+CIDo6WqYkRORsHC6coqOjkZycjMTERAwbNgx3795Ffn4+Pv/8czRv3hzTpk0rtREtVb/169dDo9EAABo0aACLxSJzIiLXN2rUKOm5TqeTMQkROZsKTQ5v3749UlNTce7cOURERECn02HWrFmIj4/H+fPnMWfOnOrKSQ+g0+kQFBQET09PnDx5EosXL5Y7EpFLS05OtjvevXu3TEmIyBlVaDkCs9mMTz75BH//+99x584dKBQKpKamol27dtWZ0WXU9OTwYgaDAW3btgUAhIaG4tKlSzX2vYnczYM2BCci91Utk8NnzJiBsLAwrFy5EvPmzcPVq1cxYsQI9O3bl5OSZabX66VJ4pcvX4bBYJA5EZF7WLlypdwRiMjJOFw4bdy4EZ988gnOnDmDCRMmQK1WY+XKlZgwYQKeeeYZbjYrs8mTJ0vPa+Pio0RVISgoyO547NixMiUhImfl8Ed1QohSQ9jFvvrqK0yaNAl/+9vfMGnSpCoN6Erk+qgOACwWC4KDg5Gbm4u6desiOzsbarW6RjMQubqSf8f5+/vDbDbLmIaIakq1fFT3oKIJAF566SUkJibi7bffdjwlVSm1Wo2oqCgolUrk5uZiwYIFckcicilGo9HueP/+/TIlISJn9sh71ZV05MgRdOzYsaou53LkHHECipaiDw0NhdVqhbe3N65fv85RJyIH6fV6nDhxAgAQFhaG33//Xd5ARFRjanSvupJqc9HkDLRaLZRKJQAgLy+Po05EDjIYDFLRBHClcCJ6sCotnEh+mzdvlp5//PHH8gUhciFRUVHS80aNGtmtyE9EVBILJzcTHR2NgIAAAEUTxrk0AdHDXb58WXq+Y8cOGZMQkbNj4eSGpkyZAqDoTsgBAwbInIbIuZVcKdzDw4OjTURULhZObuj111+Ht7c3AODq1asypyFybv3795eeb9iwQcYkROQKWDi5IbVaLS3kd+fOnVJ7bxFREaPRKG2M7eHhgSFDhsiciIicHQsnN7Vt2zbped++faVfDkT0/0aOHCk9r1OnjoxJiMhVsHByU3q9Hp6engCAgoICLk1AdB+LxYKTJ09KxyX/sUFE9CAsnNzY999/Lz3n0gRE9ubNmyeNxIaHhyMyMlLmRETkCqp05fDaTu6Vw8sSGBgorSB+5coVriRO9B/16tWD2WyGUqnE2bNnodPp5I5ERDKRbeVwcj7bt2+HRqOBTqfDqlWr5I5D5BSSkpKQm5sLlUqFGTNmsGgiIodxxKkKOeOIEwCMGTMGO3bsQEBAAP79739Dq9XKHYlIViqVCgUFBfDw8EBOTg5HYolqOY44kR0vLy/cvXsXRqMRkydPljsOkayMRiMKCgoAADabjUUTEVUIC6da4P3334eHhwesVitSU1PljkMkq9GjR0OhUAAoWqqDiKgiWDjVAlqtFr6+vgCAzMxM7l9HtdqNGzcghIC/vz9Wr14tdxwicjEsnGqJrVu3QqFQQAiBfv36yR2HSBYGgwFnzpwBANy9e5fz/Yiowlg41RLh4eHS/nWXL1+GyWSSORFRzSu5L9369etlTEJEroqFUy2yceNGeHgUveV/+tOfZE5DVLMMBgMyMzMBAH5+ftyXjogqxeUKp5s3byIuLg4ajQYajQZxcXG4devWA9sXFBTgzTffRLt27aBWqxEaGooXXngBly9ftmvXq1cvKBQKu8eoUaOquTc1Kzo6Gg0aNIDNZsMPP/zAUSeqVZ599lkUr74yZcoUmdMQkatyucJp9OjRyMjIwI4dO7Bjxw5kZGQgLi7uge3v3LmDI0eO4J133sGRI0ewYcMGnDlzBoMHDy7VNj4+HllZWdJj6dKl1dkVWTz99NMQQiAvLw/x8fFyxyGqEWlpacjKypKOZ8yYIWMaInJlLrUA5smTJ9GmTRukpqaia9euAIDU1FR069YNp06dQsuWLR26TlpaGrp06YLz58/j8ccfB1A04vTUU0890p5uzroAZkkmkwmhoaGwWq3w9PTEpUuXOEGW3F7x1kMA0Lp1a5w4cULmRETkTNx2AcyUlBRoNBqpaAKAiIgIaDQa7N+/3+HrmM1mKBQK1KtXz+786tWrERgYCL1ej9dffx23b98u9zp5eXnIycmxezg7rVYLHx8fAEBhYSGmT58ucyKi6mUymXDjxg3peOvWrTKmISJX51KFU3Z2dpmjI1qtFtnZ2Q5d4969e3jrrbcwevRou6pyzJgxWLNmDfbu3Yt33nkHCQkJGDZsWLnXmj9/vjTXSqPRoHHjxhXrkEy2bdsGpVIJlUqFc+fOyR2HqFq99NJL0tymsLAw7ktHRI/EKQqn2bNnl5qYff/j0KFDACCt+FuSEKLM8/crKCjAqFGjYLPZsGTJEruvxcfHo2/fvmjbti1GjRqF77//Hrt27cKRI0ceeL0ZM2bAbDZLj+I7dpxdZGQk3n//fYSGhsJkMsFoNModiahaWCwW7NixQzrmaBMRPSpPuQMAwKRJkx56B1uTJk3wyy+/4MqVK6W+dvXqVQQFBZX7+oKCAowcORJGoxE//fTTQz/D7NixI7y8vHD27Fl07NixzDbe3t7S2kiu5uWXX8bixYthNBoxcuRIpKWlyR2JqMrNnDlT2pcOAPR6vYxpiMgdOEXhFBgYiMDAwIe269atG8xmMw4ePIguXboAAA4cOACz2Yzu3bs/8HXFRdPZs2exZ88eNGjQ4KHfy2AwoKCgACEhIY53xIWo1WrcuXMHNpsNZ86cgcVi4Wan5Hb+/ve/S8/Xrl0rYxIichdO8VGdo1q3bo2YmBjEx8cjNTUVqampiI+Px8CBA+3uqGvVqhUSExMBFE2A/sMf/oBDhw5h9erVsFqtyM7ORnZ2NvLz8wEAv/32G+bOnYtDhw7h999/x7Zt2zBixAh06NABPXr0kKWvNeGHH36AWq3GvXv3sGDBArnjEFWp5ORku+PY2FiZkhCRO3GpwgkouvOtXbt2iIqKQlRUFJ588kl88803dm1Onz4Ns9kMALh48SI2b96Mixcv4qmnnkJISIj0KL4TT6VSYffu3YiOjkbLli0xZcoUREVFYdeuXVAqlTXex5oSHh4OhUKB/Px8LFiwgAtiklspuSdjyTtxiYgehUut4+TsXGEdp/t16NABGRkZ8PDwwKhRo7hbPLkFo9GIpk2bSsdXrlzhemVE9EBuu44TVb0NGzagbt26EEIgKSmJo07kFmJiYqTn9evXZ9FERFWGhVMtp9PpEBwcDCEErl+/zs1/yeWlpaXhzJkz0nFSUpKMaYjI3bBwImzcuFFaB+v+CbVEriYiIsLuODw8XKYkROSOWDgR9Ho9nnrqKQBFn/MaDAZ5AxE9ApvNJj13x426iUheLJwIAPD888/D09MTeXl5GDJkiNxxiCrl/qJ/woQJMiUhInfFwokAFK0kHhAQAA8PD5hMJk4SJ5c0bNgweHgU/bX23nvvyZyGiNwRCycCULSS+E8//QQ/Pz80atQIM2fOlDsSUYWYTCYUFBTAy8sLw4cPx9tvvy13JCJyQyycSKLX6zFp0iScO3cOV69ehcVikTsSkcNeeeUVnD9/Hmq1Gr1795Y7DhG5KRZOZCchIQFA0S7yy5YtkzkNkWMsFgt27doFIQSsVivGjh0rdyQiclMsnMjO999/D6vVisLCQqxcuVLuOEQOmT9/PiwWC7y8vDB9+nRuWE1E1YZbrlQhV9xypSwajQY5OTnw8vLCxYsXueoyOTWj0YhmzZpBCAEfHx9cu3aNhRMRVQi3XKFHsmXLFnh5eaFOnTqYNm2a3HGIyvWHP/wBxf/+a9OmDYsmIqpWLJyolMjISGk3+YSEBC6ISU7t3LlzAAAPDw98//33MqchInfHwonK9PXXX+PevXvIy8vDoEGD5I5DVCaDwQCz2QygaEkNnU4ncyIicncsnKhMOp0OGo0GQgguTUBOa9iwYfDy8oJCocAPP/wgdxwiqgVYONEDTZo0Cd7e3vDy8uLSBOR0Nm3ahDNnzsDDwwMjRoxAZGSk3JGIqBbgXXVVyF3uqitmsVjQsWNHXLlyBcHBwTh8+DAn3pLT8PLyQmFhIRQKBbKzs3n3JxFVGu+qoyqhVqvx8ssvw9PTE5cuXcLixYvljkQEoGhuk81mAwCEhISwaCKiGsPCicpVXDjdvXsX8+fP5+a/5BT69+8vFU6TJ0+WOQ0R1SYsnKhcarVamjtisVgwZcoUmRNRbWcymXD58mUAgLe3NwsnIqpRLJzooT799FP4+PjAarUiNTVV7jhUy7322mvS85iYGM67I6IaxcKJHkqr1SIoKAhKpRJ3797l0gQkK4PBgMLCQgQEBPBuTyKqcSycyCGbN29G/fr1YbFYsGjRIrnjUC1lMBhw7NgxAEV31XFSOBHVNBZO5BC9Xg8vLy/k5+dj7ty53IaFapzJZEKPHj2gVCqhVCqxZcsWuSMRUS3EwokctmnTJthsNiiVSgwfPlzuOFTLTJ48Gbdv34bNZsPw4cMRHh4udyQiqoVYOJHDwsPDMWzYMHh6euLmzZswGo1yR6JawmKxICkpCTabDd7e3lxTjIhkw8KJKuTTTz+FWq3G9evXERsbK3ccqiVWrVolbeZrs9k4t4mIZMPCiSpEq9VCoVDAarUiPT2do05UIzZv3gwAUCgU2Lhxo7xhiKhWY+FEFfbnP/8ZHh5Ff3Sef/55mdOQuzMYDEhKSgIA+Pj4IDo6WuZERFSbsXCiCps+fToaNWoEq9WK06dPcxsWqlZDhgyBQqEAACQmJsqchohqO5crnG7evIm4uDhoNBpoNBrExcXh1q1b5b5m3LhxUCgUdo+IiAi7Nnl5eZg8eTICAwOhVqsxePBgXLx4sRp74rrUajUee+wxCCFw/fp1TJgwQe5I5KaMRiMuXboEAGjWrBlHm4hIdi5XOI0ePRoZGRnYsWMHduzYgYyMDMTFxT30dTExMcjKypIe27Zts/v61KlTkZiYiLVr1+Jf//oXcnNzMXDgQFit1urqiktbvXq19HzTpk3YtGmTjGnIXY0aNQqFhYXw9vbmnzEicgoKIYSQO4SjTp48iTZt2iA1NRVdu3YFAKSmpqJbt244deoUWrZsWebrxo0bh1u3bj1wUqnZbEbDhg3xzTffSHeKXb58GY0bN8a2bdsc/lduTk4ONBoNzGYz/P39K95BF+Pj44O8vDwARZN2i3erJ6oKSUlJiImJAVA02vTrr7/KnIiI3FVFfn+71IhTSkoKNBqNVDQBQEREBDQaDfbv31/ua/fu3QutVosWLVogPj7ebl7O4cOHUVBQgKioKOlcaGgo2rZt+9Dr1mYlRwCEELzDjqrUkCFDpOfx8fEyJiEi+n8uVThlZ2eXuX6LVqtFdnb2A1/Xr18/rF69Gj/99BMWLVqEtLQ09O7dWxotyc7OhkqlQv369e1eFxQUVO518/LykJOTY/eoTaKjo+1G+QYOHChjGnInRqMRBQUFAIrm1E2aNEnmRERERZyicJo9e3apydv3Pw4dOgQA0t01JQkhyjxfLDY2FgMGDEDbtm0xaNAgbN++HWfOnMHWrVvLzfWw686fP1+apK7RaNC4cWMHe+w+tm/fLj0/ceIE0tLSZExD7uLFF1+Er68vlEol3njjDajVarkjEREBADzlDgAAkyZNwqhRo8pt06RJE/zyyy+4cuVKqa9dvXoVQUFBDn+/kJAQhIWF4ezZswCA4OBg5Ofn4+bNm3ajTiaTCd27d3/gdWbMmIFp06ZJxzk5ObWueNLpdGjTpg1OnDgBABg0aFC5o3RED2MwGHDq1CloNBoMHjwY06dPlzsSEZHEKQqnwMBABAYGPrRdt27dYDabcfDgQXTp0gUAcODAAZjN5nILnPtdv34dmZmZCAkJAQB06tQJXl5e2LlzJ0aOHAkAyMrKwvHjx/H+++8/8Dre3t7w9vZ2+Pu6qx9++AF6vR53797FvXv3YDKZuCUGVVpMTAyuXLmCgIAALFu2jKNNRORUnOKjOke1bt0aMTExiI+PR2pqKlJTUxEfH4+BAwfazbVp1aqVtFBebm4uXn/9daSkpOD333/H3r17MWjQIAQGBuK5554DAGg0GowfPx7Tp0/H7t27kZ6ejueffx7t2rVD3759ZemrK9HpdNJdCGazGaNHj5Y5Ebmyq1evAgDu3LnDoomInI5LFU5A0fpB7dq1Q1RUFKKiovDkk0/im2++sWtz+vRpaUNQpVKJY8eOYciQIWjRogXGjh2LFi1aICUlBX5+ftJrPvroIwwdOhQjR45Ejx494Ovriy1btkCpVNZo/1zVli1bpOe7d+/mHXZUKSaTCb1794avry/3pCMip+RS6zg5u9q2jtP99Hq9NNepc+fOnChOFfbKK68gKysLoaGhWLJkidxxiKiWcNt1nMi5/fDDD/Dy8gJQtDYWCyeqCIvFgnbt2qFhw4aYPXu23HGIiMrEwomqjE6nw1/+8hcARUs59O/fX+ZE5CoMBgOeeOIJbNu2DREREby5gIicFgsnqlLTp0+Hr68vAODatWswGAwyJyJXMHjwYGRnZ2Pv3r3lrp1GRCQ3Fk5UpdRqNVq1aiUdDxgwQMY05AosFgtu3boFIQR8fHyk/SKJiJwRCyeqct9//700anD+/HkkJyfLnIic2Zw5c3Djxg0oFAo0a9aMSxAQkVNj4URVTqfTYdCgQdIx5zrRgxgMBnzwwQfS8dq1a2VMQ0T0cCycqFp8+eWX0hpYd+/ehclkkjkROaORI0eiXr16AIr2PdTpdPIGIiJ6CBZOVC20Wq000qRSqfDGG2/InIicTVpaGq5evYr69evj+PHjiI6OljsSEdFDsXCiavPVV1+hRYsWCAgIQEpKCkedyM6gQYNw8+ZN3L17F3q9Xu44REQOYeFE1Uar1eLnn3+Gj48PLl26hMmTJ8sdiZyEwWCAxWKBh4cHevToIXccIiKHsXCialW8kOGdO3eQmJjIdZ0IQNENA7m5uVCpVNxahYhcCgsnqnadO3eGEAIFBQUYOnSo3HFIZps2bcKFCxcAAAqFgquEE5FLYeFE1W7x4sXw8/ODQqHAxYsXYTQa5Y5EMhoxYoT0/IcffpAxCRFRxbFwomqn1WqRkpICT09P5OXlYfjw4XJHIpkYjUYEBQXBw8MDU6dORWRkpNyRiIgqhIUT1Qi9Xo86depACIGMjAzOdaqFLBYLYmJicPv2bTzxxBP461//KnckIqIKY+FENWbLli0AACEEhgwZInMaqmmLFi3CuXPnkJ+fj86dO3NrFSJySQohhJA7hLvIycmBRqOB2WyGv7+/3HGcUvPmzXHu3Dl4e3vjxIkTXCm6ljAajWjZsiUKCwvh4+OD33//nZPCichpVOT3N0ecqEZt2rQJKpUKeXl56N27NywWi9yRqAaMGTMGQggoFAq89dZbLJqIyGWxcKIapdfrodFoAABZWVlYt26dzImoulksFly6dAlWqxWNGzfG9OnT5Y5ERFRpLJyoxv3www+oW7culEoltm7dylEnNzd//nxcuHABHh4eeOyxxzi3iYhcGgsnqnHh4eF47LHHUFBQgMTERCxatEjuSFRNDAYD5s2bB4VCAQD45z//KXMiIqJHw8KJZPH999/DZrMBAGbNmoXk5GSZE1FVM5lMiIiIgBACQgj89NNPvBmAiFweCyeShV6vx7vvvovimzoHDhwocyKqavHx8cjNzQUANGvWjItdEpFbYOFEspk+fToCAwMBALdv3+aokxuxWCxISkqSjjdt2iRjGiKiqsPCiWSjVquxd+9eaf5LdHQ0J4q7iXnz5iEvLw8AEBYWBr1eL3MiIqKqwcKJZKXX6/HUU08BAPLy8vDhhx/KG4gemdFoxIIFCwAACoUCW7dulTkREVHVYeFEsktISICnpyeEEJg1axb3sXNxw4YNkyb+P/XUUxxtIiK3wsKJZKfT6aRRJyEEhg8fLm8gqrTk5GRkZGQAAJRKJRISEuQNRERUxVg4kVP47rvvoNVq4ePjgxs3bsBoNModiSrIYrEgOjpaOubyA0Tkjlg4kVPQ6XQ4duwY/Pz8cP36dYwcOVLuSFRBy5YtQ35+PoCiCeFcfoCI3BELJ3IaWq0WHh4esNlsOHToEJcncCEWiwVffPEF1Go1fH19OSGciNyWyxVON2/eRFxcHDQaDTQaDeLi4nDr1q1yX6NQKMp8fPDBB1KbXr16lfr6qFGjqrk3dL8tW7ZIz2NiYrg8gYv45JNPcPnyZahUKrz33nucEE5EbsvlCqfRo0cjIyMDO3bswI4dO5CRkYG4uLhyX5OVlWX3WLFiBRQKRalJyPHx8Xbtli5dWp1doTKEh4dj8ODBAIC7d+9i7ty5Mieih0lLS8M777wDIQS8vb0RHx8vdyQiomqjEMV7XriAkydPok2bNkhNTUXXrl0BAKmpqejWrRtOnTqFli1bOnSdoUOH4vbt29i9e7d0rlevXnjqqafw8ccfVzpfTk4ONBoNzGYz/P39K32d2s5kMiE0NBRWqxUAsG/fPs6XcVJGoxEtWrRAYWEhlEoljh49ytEmInI5Ffn97VIjTikpKdBoNFLRBAARERHQaDTYv3+/Q9e4cuUKtm7divHjx5f62urVqxEYGAi9Xo/XX38dt2/fLvdaeXl5yMnJsXvQo9NqtZg2bZp0zH3snNeIESNQWFgIAHj88cdZNBGR23Opwik7OxtarbbUea1Wi+zsbIeusWrVKvj5+WHYsGF258eMGYM1a9Zg7969eOedd5CQkFCqzf3mz58vzbXSaDRo3Lix452hcs2aNQsNGjQAAOTn53N5AieUnJyMw4cPAyhas6nk/DQiInflFIXT7NmzHziBu/hx6NAhAJD2NStJCFHm+bKsWLECY8aMgY+Pj935+Ph49O3bF23btsWoUaPw/fffY9euXThy5MgDrzVjxgyYzWbpkZmZWYFeU3nUajX27dsHHx8feHl5oVu3bjCZTHLHov8wmUzo3bu3dJySksLRJiKqFTzlDgAAkyZNeugdbE2aNMEvv/yCK1eulPra1atXERQU9NDv8/PPP+P06dNYt27dQ9t27NgRXl5eOHv2LDp27FhmG29vb3h7ez/0WlQ5er0ew4YNw/r162GxWNC/f3/s27cParVa7mi13osvvijNQatbty7Cw8NlTkREVDOconAKDAxEYGDgQ9t169YNZrMZBw8eRJcuXQAABw4cgNlsRvfu3R/6+uXLl6NTp05o3779Q9saDAYUFBQgJCTk4R2gavPRRx8hMTERBQUF+OWXX7Bq1Sr86U9/kjtWrZacnIxt27ZJx1yziYhqE6f4qM5RrVu3RkxMDOLj45GamorU1FTEx8dj4MCBdnfUtWrVComJiXavzcnJwfr16/HSSy+Vuu5vv/2GuXPn4tChQ/j999+xbds2jBgxAh06dECPHj2qvV/0YFqtFvv27YOvry/CwsKwePFifmQns/79+0vPn3rqKd7xSES1iksVTkDRnW/t2rVDVFQUoqKi8OSTT+Kbb76xa3P69GmYzWa7c2vXroUQAn/84x9LXVOlUmH37t2Ijo5Gy5YtMWXKFERFRWHXrl1QKpXV2h96uPDwcBiNRhQUFODXX3/FhAkT5I5UaxmNRrtFSTds2CBjGiKimudS6zg5O67jVL00Gg1ycnKgUChw7NgxTkauYQaDAZ06dUJhYSGsVit27Nhht6kvEZGrctt1nKh227JlCxQKBby9vdGlSxcuUVCDLBYLevbsiby8PFitVjzxxBMsmoioVmLhRC4jMjIS7733HqxWK9RqNQYOHMi97GrIokWLcP36dQBFS4LcP4eQiKi2YOFELmXKlCl4//33oVKpcObMGcyZM0fuSG5v06ZNmDVrlnS8d+9efkxKRLUW5zhVIc5xqjkqlQoFBQUAuJdddbJYLPD394fNZgMAzJkzB++++67MqYiIqhbnOJHbK7m+Vu/evTnfqZq8/PLLUtHk6+uL6dOny5yIiEheLJzIJW3btk1aNNVqteK5556TOZH7mTdvHlavXi0d7927l6u2E1Gtx8KJXJJer8fvv/8OT8+ixe+PHj2KtLQ0mVO5j1WrVmHmzJnS8SeffMJtVYiIwMKJXJharcYPP/wAAFAqlejWrRsMBoPMqVxfcnIyxo0bJx03bdoUkydPli8QEZETYeFELi06Ohpz5syBzWaD1WpFhw4dWDw9ovvXZ9q1a5dMSYiInA8LJ3J506dPh06nAwAUFBTY7aVGFZOWloZ79+5Jx++99570/5aIiFg4kRtQq9V2oyIXLlzgfKdKMJlM6Nmzp3S8dOlSvP322zImIiJyPiycyC3odDrs2LEDQNHK1l26dEFSUpLMqVyHxWLByJEj4e/vDy8vL8ydO5ebKRMRlYGFE7mN4vlOxWu6xsTEcL6TAywWC+Lj42EwGODt7Y3Ro0dj2rRpcsciInJKLJzIrUyfPh0BAQHScUREBEwmk4yJnN+aNWuwe/duFBQUQK1W47PPPuN6TURED8DCidyKWq1GcnIyvLy8AAC5ubkYPHgwNwN+gOTkZEyZMgXNmzdHaGgotm7dyqKJiKgcLJzI7ej1eqSnp0vF04EDBzB//nyZUzmftLQ09OzZE/fu3UNGRgbS0tJ4Bx0R0UOwcCK3VFw8KRQKAEW31fNOu/9nNBrxX//1X1AqlRBC4LXXXuNIExGRA1g4kdvS6/XYu3cvAEClUqFr164snlA00tSyZUt4enrCw8MDc+bMwYwZM+SORUTkElg4kVuLjIzEwYMHUVBQAE9Pz1pfPBmNRnTv3h0FBQW4c+cORowYgXfffZejTUREDmLhRG4vPDwcBw4cQGFhIQDU6jWeRo0aJf1/8Pb2xkcffSRzIiIi18LCiWqF8PBwDB06VFrjacCAAbVqmQKTyYThw4dLo21KpRI///wztFqtzMmIiFwLCyeqNb744gv0798fSqUSYWFhCAoKwrp16+SOVe3S0tIQFhaGDRs2QAgBpVKJo0ePIjw8XO5oREQuRyGK/wlOjywnJwcajQZmsxn+/v5yx6EHMJlMCAoKko737duHyMhIGRNVn+TkZLv955RKJVJSUlg0ERGVUJHf3xxxolpHq9Vi7dq10nHPnj3RsWNHGI1GGVNVPYPBYFc0+fn5caSJiOgRsXCiWik2Nhb79u2TjtPT0/HHP/5RxkRVy2QyoUePHlAqlQCAJk2a4Ndff4Ver5c5GRGRa2PhRLVWZGSkVDx5eHjgzJkzqFevHpKTk2VOVnkWiwWTJk1CUFAQfH19pSUYDhw4wIngRERVgIUT1WqRkZE4fvw4QkJCkJubC7PZjJ49e7pk8WQwGKDT6fDZZ58BALKysvDRRx9h9+7dLJqIiKoICyeq9fR6PU6fPg1vb2/pXM+ePfGnP/3JZTYHNhqNCA8Px9WrV6Vza9euxSuvvMLFLYmIqhALJyIAarUaP/30E+rWrSud+/zzz9GnTx+nXu/JYrHgjTfeQNOmTXH37l0ARZPAjx8/jtjYWJnTERG5HxZORP8RHh6O7Oxs/OlPf5LOHTp0CI0aNXLKj+4MBgPCwsLwwQcfSOf8/f05CZyIqBqxcCIqQa1W47PPPsPx48cRHBwMIQSsVit69+6N7t27O8WSBSaTCUOGDEG7du1w/fp16fzjjz+O/fv3cz4TEVE1crnC6b333kP37t3h6+uLevXqOfQaIQRmz56N0NBQ1KlTB7169YLBYLBrk5eXh8mTJyMwMBBqtRqDBw/GxYsXq6EH5Ar0ej1+/fVXvP322wCK7ro7dOgQmjVrhrp168oyAmUymRAbG4umTZti8+bN0vYxPj4+2LdvH86fP8+RJiKiauZyhVN+fj5GjBiBV155xeHXvP/++/jwww/x6aefIi0tDcHBwXj22Wdx+/Ztqc3UqVORmJiItWvX4l//+hdyc3MxcOBAWK3W6ugGuQC1Wo3//d//xa+//orw8HAUFhZCCAGLxYKePXuiQYMG0t5v1cloNKJz585o1KgRvvvuO2nCukKhwF/+8hdcu3bNbVc+JyJyOsJF/eMf/xAajeah7Ww2mwgODhYLFiyQzt27d09oNBrxxRdfCCGEuHXrlvDy8hJr166V2ly6dEl4eHiIHTt2OJzJbDYLAMJsNjveEXIZO3bsEABKPVQqlXjqqafEuXPnqvT7HTx4UNSvX7/U9/P09BTNmjUTx48fr9LvR0RUW1Xk97fLjThVlNFoRHZ2NqKioqRz3t7e6NmzJ/bv3w8AOHz4MAoKCuzahIaGom3btlKbsuTl5SEnJ8fuQe4rOjoa+/btK3V7f35+PjIyMtC8eXO0b98eo0ePrvSdeElJSVCpVFCpVOjSpQtu3rxp9/WmTZsiIyODE8CJiGTi9oVTdnY2ANht6lp8XPy17OxsqFQq1K9f/4FtyjJ//nxoNBrp0bhx4ypOT84mMjISubm5OHfuHFq1amX3NZvNhl9++QVr1qxBaGgoFAqF9PDy8kJAQADS0tKwatUqu68pFArUrVsXPj4+iImJQUFBAQoKCqTrKpVKPP744zh+/Dh+++03FkxERDJyisJp9uzZpX6R3P84dOjQI30PhUJhdyyEKHXufg9rM2PGDJjNZumRmZn5SBnJdeh0Opw8eRJCCBw8eBBarRb169eHSqUCgFJz4woLC3Hz5k106dIF48aNK3U9i8WCvLw86djLywv169fH3LlzYTabOfGbiMhJeModAAAmTZqEUaNGldumSZMmlbp2cHAwgKJRpZCQEOm8yWSSRqGCg4ORn5+Pmzdv2o06mUwmdO/e/YHX9vb2tlttmmqn8PBwXLlyBUDR2kqDBg3CtWvX7G4+8PT0RGFh4QOvoVarpa9v2rQJ0dHR1RuaiIgqxSkKp8DAQAQGBlbLtXU6HYKDg7Fz50506NABQNGclH379mHhwoUAgE6dOsHLyws7d+7EyJEjARTt83X8+HG8//771ZKL3JNer8e5c+fK/NqyZcvw8ssvw8PDA40aNcK2bds4ikRE5GKc4qO6irhw4QIyMjJw4cIFWK1WZGRkICMjA7m5uVKbVq1aITExEUDRR3RTp07FvHnzkJiYiOPHj2PcuHHw9fXF6NGjAQAajQbjx4/H9OnTsXv3bqSnp+P5559Hu3bt0LdvX1n6Se5nwoQJ0oKa/OiNiMg1OcWIU0W8++67WLVqlXRcPIq0Z88e9OrVCwBw+vRpmM1mqc0bb7yBu3fv4k9/+hNu3ryJrl274scff4Sfn5/U5qOPPoKnpydGjhyJu3fvok+fPli5ciWUSmXNdIyIiIicnkKI/yw/TI8sJycHGo0GZrMZ/v7+cschIiIiB1Tk97fLfVRHREREJBcWTkREREQOYuFERERE5CAWTkREREQOYuFERERE5CAWTkREREQOYuFERERE5CAWTkREREQOYuFERERE5CAWTkREREQOcrm96pxZ8e41OTk5MichIiIiRxX/3nZkFzoWTlXo9u3bAIDGjRvLnISIiIgq6vbt29BoNOW24Sa/Vchms+Hy5cvw8/ODQqGolu+Rk5ODxo0bIzMz0y03Emb/XJc79w1g/1wd++faqrt/Qgjcvn0boaGh8PAofxYTR5yqkIeHBxo1alQj38vf398tfziKsX+uy537BrB/ro79c23V2b+HjTQV4+RwIiIiIgexcCIiIiJyEAsnF+Pt7Y1Zs2bB29tb7ijVgv1zXe7cN4D9c3Xsn2tzpv5xcjgRERGRgzjiREREROQgFk5EREREDmLhREREROQgFk5EREREDmLh5GTee+89dO/eHb6+vqhXr55DrxFCYPbs2QgNDUWdOnXQq1cvGAwGuzZ5eXmYPHkyAgMDoVarMXjwYFy8eLEaelC+mzdvIi4uDhqNBhqNBnFxcbh161a5r1EoFGU+PvjgA6lNr169Sn191KhR1dyb0irTv3HjxpXKHhERYdfGVd+/goICvPnmm2jXrh3UajVCQ0Pxwgsv4PLly3bt5Hr/lixZAp1OBx8fH3Tq1Ak///xzue337duHTp06wcfHB02bNsUXX3xRqk1CQgLatGkDb29vtGnTBomJidUVv1wV6duGDRvw7LPPomHDhvD390e3bt2QlJRk12blypVl/hzeu3evurtSpor0b+/evWVmP3XqlF07Z3nvgIr1r6y/QxQKBfR6vdTGmd6/5ORkDBo0CKGhoVAoFNi4ceNDX+NUP3uCnMq7774rPvzwQzFt2jSh0Wgces2CBQuEn5+fSEhIEMeOHROxsbEiJCRE5OTkSG0mTpwoHnvsMbFz505x5MgR8cwzz4j27duLwsLCaupJ2WJiYkTbtm3F/v37xf79+0Xbtm3FwIEDy31NVlaW3WPFihVCoVCI3377TWrTs2dPER8fb9fu1q1b1d2dUirTv7Fjx4qYmBi77NevX7dr46rv361bt0Tfvn3FunXrxKlTp0RKSoro2rWr6NSpk107Od6/tWvXCi8vL/Hll1+KEydOiFdffVWo1Wpx/vz5MtufO3dO+Pr6ildffVWcOHFCfPnll8LLy0t8//33Upv9+/cLpVIp5s2bJ06ePCnmzZsnPD09RWpqarX25X4V7durr74qFi5cKA4ePCjOnDkjZsyYIby8vMSRI0ekNv/4xz+Ev79/qZ9HOVS0f3v27BEAxOnTp+2yl/z5cZb3ToiK9+/WrVt2/crMzBQBAQFi1qxZUhtnev+2bdsmZs6cKRISEgQAkZiYWG57Z/vZY+HkpP7xj384VDjZbDYRHBwsFixYIJ27d++e0Gg04osvvhBCFP1QeXl5ibVr10ptLl26JDw8PMSOHTuqPPuDnDhxQgCw+4OckpIiAIhTp045fJ0hQ4aI3r17253r2bOnePXVV6sqaqVUtn9jx44VQ4YMeeDX3e39O3jwoABg90tAjvevS5cuYuLEiXbnWrVqJd56660y27/xxhuiVatWdudefvllERERIR2PHDlSxMTE2LWJjo4Wo0aNqqLUjqlo38rSpk0bMWfOHOnY0b+TakJF+1dcON28efOB13SW906IR3//EhMThUKhEL///rt0zpnev5IcKZyc7WePH9W5OKPRiOzsbERFRUnnvL290bNnT+zfvx8AcPjwYRQUFNi1CQ0NRdu2baU2NSElJQUajQZdu3aVzkVERECj0Tic48qVK9i6dSvGjx9f6murV69GYGAg9Ho9Xn/9ddy+fbvKsjviUfq3d+9eaLVatGjRAvHx8TCZTNLX3On9AwCz2QyFQlHqo+iafP/y8/Nx+PBhu/+nABAVFfXAvqSkpJRqHx0djUOHDqGgoKDcNjX5PlWmb/ez2Wy4ffs2AgIC7M7n5uYiLCwMjRo1wsCBA5Genl5luR31KP3r0KEDQkJC0KdPH+zZs8fua87w3gFV8/4tX74cffv2RVhYmN15Z3j/KsPZfva4ya+Ly87OBgAEBQXZnQ8KCsL58+elNiqVCvXr1y/Vpvj1NSE7OxtarbbUea1W63COVatWwc/PD8OGDbM7P2bMGOh0OgQHB+P48eOYMWMGjh49ip07d1ZJdkdUtn/9+vXDiBEjEBYWBqPRiHfeeQe9e/fG4cOH4e3t7Vbv37179/DWW29h9OjRdht11vT7d+3aNVit1jJ/bh7Ul+zs7DLbFxYW4tq1awgJCXlgm5p8nyrTt/stWrQIFosFI0eOlM61atUKK1euRLt27ZCTk4O///3v6NGjB44ePYonnniiSvtQnsr0LyQkBMuWLUOnTp2Ql5eHb775Bn369MHevXsRGRkJ4MHvb02+d8Cjv39ZWVnYvn07vv32W7vzzvL+VYaz/eyxcKoBs2fPxpw5c8ptk5aWhs6dO1f6eygUCrtjIUSpc/dzpI0jHO0fUDpnRXOsWLECY8aMgY+Pj935+Ph46Xnbtm3xxBNPoHPnzjhy5Ag6duzo0LUfpLr7FxsbKz1v27YtOnfujLCwMGzdurVUgViR6zqqpt6/goICjBo1CjabDUuWLLH7WnW+f+Wp6M9NWe3vP1+Zn8XqUNkca9aswezZs7Fp0ya7QjkiIsLupoUePXqgY8eOWLx4MT755JOqC+6givSvZcuWaNmypXTcrVs3ZGZm4m9/+5tUOFX0mtWtsllWrlyJevXqYejQoXbnne39qyhn+tlj4VQDJk2a9NA7hJo0aVKpawcHBwMoqshDQkKk8yaTSaq+g4ODkZ+fj5s3b9qNWphMJnTv3r1S37ckR/v3yy+/4MqVK6W+dvXq1VL/UijLzz//jNOnT2PdunUPbduxY0d4eXnh7Nmzj/yLt6b6VywkJARhYWE4e/YsAPd4/woKCjBy5EgYjUb89NNPdqNNZanK968sgYGBUCqVpf41WvLn5n7BwcFltvf09ESDBg3KbVOR9/9RVaZvxdatW4fx48dj/fr16Nu3b7ltPTw8EB4eLv05rSmP0r+SIiIi8M9//lM6dob3Dni0/gkhsGLFCsTFxUGlUpXbVq73rzKc7mevymdNUZWo6OTwhQsXSufy8vLKnBy+bt06qc3ly5dlm1x84MAB6VxqaqrDk4vHjh1b6m6sBzl27JgAIPbt21fpvBX1qP0rdu3aNeHt7S1WrVolhHD99y8/P18MHTpU6PV6YTKZHPpeNfH+denSRbzyyit251q3bl3u5PDWrVvbnZs4cWKpCar9+vWzaxMTEyPL5PCK9E0IIb799lvh4+Pz0Im6xWw2m+jcubN48cUXHyVqpVSmf/cbPny4eOaZZ6RjZ3nvhKh8/4onwR87duyh30PO968kODg53Jl+9lg4OZnz58+L9PR0MWfOHFG3bl2Rnp4u0tPTxe3bt6U2LVu2FBs2bJCOFyxYIDQajdiwYYM4duyY+OMf/1jmcgSNGjUSu3btEkeOHBG9e/eW7Xb2J598UqSkpIiUlBTRrl27Urez398/IYQwm83C19dXfP7556Wu+euvv4o5c+aItLQ0YTQaxdatW0WrVq1Ehw4dnL5/t2/fFtOnTxf79+8XRqNR7NmzR3Tr1k089thjbvH+FRQUiMGDB4tGjRqJjIwMu9ug8/LyhBDyvX/Ft3wvX75cnDhxQkydOlWo1WrpTqS33npLxMXFSe2Lb4l+7bXXxIkTJ8Ty5ctL3RL973//WyiVSrFgwQJx8uRJsWDBAlmXI3C0b99++63w9PQUn3322QOXhJg9e7bYsWOH+O2330R6erp48cUXhaenp10h7az9++ijj0RiYqI4c+aMOH78uHjrrbcEAJGQkCC1cZb3rjL9K/b888+Lrl27lnlNZ3r/bt++Lf1uAyA+/PBDkZ6eLt1p6+w/eyycnMzYsWMFgFKPPXv2SG0AiH/84x/Ssc1mE7NmzRLBwcHC29tbREZGlvoXx927d8WkSZNEQECAqFOnjhg4cKC4cOFCDfXq/12/fl2MGTNG+Pn5CT8/PzFmzJhStwjf3z8hhFi6dKmoU6dOmWv7XLhwQURGRoqAgAChUqlEs2bNxJQpU0qthVQTKtq/O3fuiKioKNGwYUPh5eUlHn/8cTF27NhS742rvn9Go7HMP88l/0zL+f599tlnIiwsTKhUKtGxY0e7Ea6xY8eKnj172rXfu3ev6NChg1CpVKJJkyZlFvLr168XLVu2FF5eXqJVq1Z2v5xrUkX61rNnzzLfo7Fjx0ptpk6dKh5//HGhUqlEw4YNRVRUlNi/f38N9sheRfq3cOFC0axZM+Hj4yPq168v/uu//kts3bq11DWd5b0TouJ/Nm/duiXq1Kkjli1bVub1nOn9Kx4Ze9CfN2f/2VMI8Z8ZVkRERERULq7jREREROQgFk5EREREDmLhREREROQgFk5EREREDmLhREREROQgFk5EREREDmLhREREROQgFk5EREREDmLhREREROQgFk5ERCXYbDa0atUKb775pt35pKQkqFQqrF+/XqZkROQMWDgREZXg4eGBGTNm4PPPP8fNmzcBAEePHsWIESMwb948jBgxQuaERCQn7lVHRHSfwsJCtGjRAmPHjsX48eMRERGBIUOG4LPPPpM7GhHJjIUTEVEZli5dirfffhuPPfYYmjRpgsTERCiVSrljEZHMWDgREZUhNzcXDRs2RPPmzZGamgq1Wi13JCJyApzjRERUhkmTJgEArl27xpEmIpKwcCIius8777yDrVu3IjU1FYWFhVi+fHmpNv369cOsWbMQERGBsLAwnDhxQoakRFTTWDgREZXw1VdfYdGiRdiyZQvat2+PqVOn4v3330dBQYFdu+PHj0On0yE1NRXx8fHYsmWLTImJqCaxcCIi+o/t27fjz3/+M/75z38iIiICADB58mTk5OTgm2++kdqZzWZ4eXlh3LhxAACVSoV69erJkJiIahoLJyIiAIcPH8aIESPw/vvvY9iwYdJ5f39/TJ48GQsWLIDVagVQNNrUpUsXqc3x48eh1+trPDMR1TzeVUdEVEFLly7FtWvXMHPmTABAhw4dsGfPHo46EdUCHHEiIqogg8GAdu3aAShaLDM3N5dFE1EtwREnIiIiIgdxxImIiIjIQSyciIiIiBzEwomIiIjIQSyciIiIiBzEwomIiIjIQSyciIiIiBzEwomIiIjIQSyciIiIiBzEwomIiIjIQSyciIiIiBzEwomIiIjIQSyciIiIiBz0f6boviEVlciKAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x0 = 0.5\n",
    "r_chaos = 1.01\n",
    "# r_chaos = 0.75\n",
    "\n",
    "x0 = 0.5\n",
    "x0_2 = 0.5001\n",
    "tr = trajectory(r_chaos, 10000, x0)\n",
    "\n",
    "\n",
    "# discard first half of the trajectory\n",
    "tr = tr[5000:]\n",
    "tr_shifted = np.roll(tr, -1)\n",
    "\n",
    "plt.scatter(tr, tr_shifted, s= 0.1, c = 'black')\n",
    "# plt.scatter(tr2, tr2_shifted, s= 0.1, c = 'red')\n",
    "\n",
    "plt.xlabel('$X_n$')\n",
    "plt.ylabel('$X_{n+1}$')\n",
    "# plt.plot(tr, tr_shifted)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Ex 4.2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For the 50,000 points from section 3.1, and for a series of values of $\\epsilon = 1, 0.5, 0.25, \\frac{1}{2^n} \\ldots$, create a histogram of the number of points within a distance $\\epsilon$ of $x_i$ for a sequence of values of $x_i$ ranging from 0 to 1. Then average the number of points in all the bins for each $x_i$ value, to get an average $\\langle N(\\epsilon) \\rangle$ for the number of points that lie in bins of size $\\epsilon$ across the set of points. Repeat this for each $\\epsilon$.\n",
    "\n",
    "Plot $\\ln(\\langle N(\\epsilon) \\rangle)$ against $\\ln(\\epsilon)$ and measure the slope to obtain the “fractal dimension” of the fixed points of the sine map for a single $r$ value.\n",
    "\n",
    "What is the distribution of fixed points for this value of $r$?\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[2077.764,\n",
       " 1188.142,\n",
       " 662.8468,\n",
       " 361.1936,\n",
       " 192.8592,\n",
       " 105.1792,\n",
       " 57.4848,\n",
       " 31.7644,\n",
       " 17.818,\n",
       " 10.0636,\n",
       " 5.8544,\n",
       " 3.6228,\n",
       " 2.3732,\n",
       " 1.7312]"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# seq = np.linspace(0, r_chaos, 100)\n",
    "seq = tr\n",
    "eps = [1/2**n for n in range(1, 15)]\n",
    "\n",
    "# now i want a function that counts the number of point of trajectory that are within eps radius from each point of seq\n",
    "\n",
    "def count_points(tr, eps):\n",
    "    '''\n",
    "    Count the number of points of tr that are within eps radius from each point of tr\n",
    "    '''\n",
    "    # compute the distance between each point of tr, getting a matrix\n",
    "    dist = np.abs(tr[:, None] - tr[None, :])\n",
    "    # count how many points are within eps radius from each point of seq \n",
    "    count = np.sum(dist < eps, axis=0)\n",
    "\n",
    "    return count.mean()\n",
    "\n",
    "count_points(tr, eps[13])\n",
    "N_eps = [count_points(tr, eps[i]) for i in range(len(eps))]\n",
    "N_eps"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "slope =  0.8147959058659439\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'r = 1.01 slope = 0.8147959058659439')"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# linear regression\n",
    "\n",
    "reg = LinearRegression().fit(np.log(eps).reshape(-1, 1), np.log(N_eps).reshape(-1, 1))\n",
    "# plot slope and intercept\n",
    "# reg.coef_, reg.intercept_\n",
    "slope = reg.coef_[0][0]\n",
    "print('slope = ', reg.coef_[0][0])\n",
    "\n",
    "plt.plot(np.log(eps), np.log(N_eps), 'o')\n",
    "plt.title('r = ' + str(r_chaos) + ' slope = ' + str(slope))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "def fractal_dimension(tr, eps):\n",
    "    N_eps = [count_points(tr, eps[i]) for i in range(len(eps))]\n",
    "    reg = LinearRegression().fit(np.log(eps).reshape(-1, 1), np.log(N_eps).reshape(-1, 1))\n",
    "    return reg.coef_[0][0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "fr_dim = []\n",
    "\n",
    "rangee = np.linspace(0.5, 1.3, 25)\n",
    "for r in rangee:\n",
    "    #print(r)\n",
    "    seq = np.linspace(0, r, 20)\n",
    "    tr = trajectory(r, 10000, x0)\n",
    "    tr = tr[5000:]\n",
    "    fd = fractal_dimension(tr, eps)\n",
    "    fr_dim.append(fd)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'fractal dimension')"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(rangee, fr_dim, 'o')\n",
    "plt.xlabel('r')\n",
    "plt.ylabel('fractal dimension')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Ex 5: Universality in chaos"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Add a new function to your code from Section 1.0, that iterates the logistic map:  \n",
    "$$\n",
    "  x_{n+1} = \\lambda x_n (1–x_n)\n",
    "$$\n",
    "\n",
    "where λ is in the range(0,4),and $x_0$ is in the range(0,1).Note that I have used rand λ because they have different allowed ranges."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## ex 5.1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Choose values of $r$ and $\\lambda$ near the beginning of their range (but not zero), and plot the first iterate obtained from both maps on the same graph, i.e., if $f(x)$ is the logistic map and $g(x)$ is the sine map, plot $f(x_0)$ and $g(x_0)$ for many $x_0$ between 0 and 1. What do you observe? Can you find values of $r$, $\\lambda$ so that the curves nearly overlap?\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.optimize import fsolve\n",
    "import numpy as np\n",
    "\n",
    "def logistic_map(x, lamb):\n",
    "    '''\n",
    "    Logistic map\n",
    "    '''\n",
    "    return lamb * x * (1 - x)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [],
   "source": [
    "def trajectory_log(lamb, N, x0):\n",
    "    '''\n",
    "    Compute the trajectory of the sinusoidal map\n",
    "    '''\n",
    "    x = np.zeros(N)\n",
    "    x[0] = x0\n",
    "    for i in range(1, N):\n",
    "        x[i] = logistic_map_map(x[i-1], r)\n",
    "    return x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1641426a0>"
      ]
     },
     "execution_count": 93,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "r = 0.01\n",
    "lambdaa = 0.04\n",
    "\n",
    "x0s = np.linspace(0, 1, 100)\n",
    "\n",
    "x1s_sin =sin_map(x0s, r)\n",
    "x1s_log = logistic_map(x0s, lambdaa)\n",
    "\n",
    "plt.plot(x0s, x1s_sin, label='sinusoidal map')\n",
    "plt.plot(x0s, x1s_log, label='logistic map')\n",
    "\n",
    "plt.xlabel('$X_0$')\n",
    "plt.ylabel('$X_1$')\n",
    "\n",
    "plt.title('r = ' + str(r) + ' lambda = ' + str(lambdaa))\n",
    "\n",
    "plt.legend()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "What property of the map functions do you think is necessary for two discrete maps to have similar long-time behaviour (referred to in the literature as being in the same universality class)?\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Ex 5.2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Comment on how your bifurcation curve for the sine map compares to that obtained from the logistic map shown above."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Ex 5.3"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "What implications does this have for using simple maps like the logistic map for making predictions about complex natural system such as turbulent flow of fluids?"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "defaultEnv",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
