{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Aproximação e Interpolação: solução dos problemas propostos\n",
    "\n",
    "Este notebook apresenta a solução dos problemas propostos na aula 01, Apriximação e Interpolação.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!-- TEASER_END -->"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "using PyPlot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "using Polynomials"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "using BenchmarkTools"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "struct Lagrange\n",
    "    x::Vector{Float64}\n",
    "    y::Vector{Float64}\n",
    "    Lagrange(x, y) = new(copy(x), copy(y))\n",
    "end\n",
    "Base.Broadcast.broadcastable(lgr::Lagrange) = Ref(lgr)\n",
    "\n",
    "function lagrange(k, z, x)\n",
    " h = 1.0\n",
    "    n = length(z)\n",
    "    for i = 1:(k-1)\n",
    "        h *= (x - z[i]) / (z[k] - z[i])\n",
    "    end\n",
    "    \n",
    "    for i = (k+1):n\n",
    "        h *= (x - z[i]) / (z[k] - z[i])\n",
    "    end\n",
    "    return h\n",
    "end\n",
    "\n",
    "function interp(lgr::Lagrange, x)\n",
    "    \n",
    "    y = lgr.y[1] * lagrange(1, lgr.x, x)\n",
    "    \n",
    "    for i = 2:length(lgr.x)\n",
    "        y += lgr.y[i] * lagrange(i, lgr.x, x)\n",
    "    end\n",
    "    \n",
    "    return y\n",
    "end\n",
    "\n",
    "    \n",
    "(lgr::Lagrange)(x) = interp(lgr, x)    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "struct LinearInterp\n",
    "    x::Vector{Float64}\n",
    "    y::Vector{Float64}\n",
    "    LinearInterp(x, y) = new(copy(x), copy(y))\n",
    "end\n",
    "Base.Broadcast.broadcastable(lin::LinearInterp) = Ref(lin)\n",
    "\n",
    "function interp(lin::LinearInterp, x)\n",
    "    \n",
    "    if x < lin.x[1] || x > lin.x[end]\n",
    "        error(\"Fora do Range\")\n",
    "    end\n",
    "    \n",
    "    index = 2\n",
    "    n = length(lin.x)\n",
    "    for i = 2:n\n",
    "        if lin.x[i] >= x\n",
    "            index = i\n",
    "            break\n",
    "        end\n",
    "    end\n",
    "    i1 = index-1\n",
    "    return lin.y[i1] + (lin.y[index] - lin.y[i1]) * (x - lin.x[i1]) / (lin.x[index] - lin.x[i1])\n",
    "    \n",
    "end\n",
    "\n",
    "(lin::LinearInterp)(x) = interp1(lin, x)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "linfit (generic function with 1 method)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function linfit(x,y)\n",
    "    sx = sum(x)\n",
    "    sx2 = sum(x->x^2, x)\n",
    "    N = length(x)\n",
    "\n",
    "    sy = sum(y)\n",
    "    syx = sum(x[i]*y[i] for i in 1:N)\n",
    "    \n",
    "    return [N sx; sx sx2] \\ [sy; syx]\n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Exercícios\n",
    "\n",
    "## Problema 1\n",
    "\n",
    "Interpole a função de Runge com $-1 \\le x \\le 1$:\n",
    "$$\n",
    "f(x) = \\frac{1}{1 + 25x^2}\n",
    "$$\n",
    "\n",
    " 1. Use 11 pontos uniformemente distribuídos\n",
    " 2. Aumente o número de pontos\n",
    " 3. Tente usar os pontos $x_k = \\cos\\left(\\frac{k\\pi}{N}\\right)$ para $k = 0\\ldots N$.\n",
    " 4. Brinque com o número de pontos\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "f(x) = 1.0 / (1.0 + 25x^2)\n",
    "x0 = range(-1.0, 1.0, length=501)\n",
    "y0 = f.(x0);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Pontos uniformemente distribuídos"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = range(-1.0, 1.0, length=11)\n",
    "y = f.(x);\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Lagrange([-1.0, -0.8, -0.6, -0.4, -0.2, 0.0, 0.2, 0.4, 0.6, 0.8, 1.0], [0.038461538461538464, 0.05882352941176469, 0.1, 0.19999999999999996, 0.5, 1.0, 0.5, 0.19999999999999996, 0.1, 0.05882352941176469, 0.038461538461538464])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lgr = Lagrange(x, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "1-element Array{PyCall.PyObject,1}:\n",
       " PyObject <matplotlib.lines.Line2D object at 0x7f0b1fe67610>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "u = lgr.(x0);\n",
    "plot(x0, y0, \"r-\")\n",
    "plot(x, y, \"rs\")\n",
    "plot(x0, u, \"b--\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Tá interpolando!** Mas que bosta!!!\n",
    "Será que é o número de pontos? Vamos ver..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "1-element Array{PyCall.PyObject,1}:\n",
       " PyObject <matplotlib.lines.Line2D object at 0x7f0b2a7f5ee0>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = range(-1.0, 1.0, length=12)\n",
    "y = f.(x)\n",
    "lgr = Lagrange(x, y)\n",
    "u = lgr.(x0);\n",
    "plot(x0, y0, \"r-\")\n",
    "plot(x, y, \"rs\")\n",
    "plot(x0, u, \"b--\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Com 12 pontos, Melhorou as extremidades mas piorou o centro**. Vamos tentar com 13 pontos"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "1-element Array{PyCall.PyObject,1}:\n",
       " PyObject <matplotlib.lines.Line2D object at 0x7f0b2a773310>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = range(-1.0, 1.0, length=13)\n",
    "y = f.(x)\n",
    "lgr = Lagrange(x, y)\n",
    "u = lgr.(x0);\n",
    "plot(x0, y0, \"r-\")\n",
    "plot(x, y, \"rs\")\n",
    "plot(x0, u, \"b--\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Tem algo estranho!!! Vamos aumentar bastante o número de pontos** "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "1-element Array{PyCall.PyObject,1}:\n",
       " PyObject <matplotlib.lines.Line2D object at 0x7f0b1fad3a00>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = range(-1.0, 1.0, length=51)\n",
    "y = f.(x)\n",
    "lgr = Lagrange(x, y)\n",
    "u = lgr.(x0);\n",
    "plot(x0, y0, \"r-\")\n",
    "plot(x, y, \"rs\")\n",
    "plot(x0, u, \"b--\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Repare na escala. Tem um 1e6, ou seja o valor chega a 5 milhões. Será que a função realmente está interpolando???**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "1-element Array{PyCall.PyObject,1}:\n",
       " PyObject <matplotlib.lines.Line2D object at 0x7f0b2a7855e0>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(x0, y0, \"r-\")\n",
    "ylim([-5, 5])\n",
    "plot(x, y, \"g.\")\n",
    "plot(x0, u, \"b--\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Continua interpolando!?! Mas aumentando o número de pontos, só piora... Vamos ver o que acontece com número de pontos pares.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "1-element Array{PyCall.PyObject,1}:\n",
       " PyObject <matplotlib.lines.Line2D object at 0x7f0b1fb08070>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = range(-1.0, 1.0, length=52)\n",
    "y = f.(x)\n",
    "lgr = Lagrange(x, y)\n",
    "u = lgr.(x0);\n",
    "plot(x0, y0, \"r-\")\n",
    "plot(x, y, \"rs\")\n",
    "plot(x0, u, \"b--\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "1-element Array{PyCall.PyObject,1}:\n",
       " PyObject <matplotlib.lines.Line2D object at 0x7f0b1d2bc460>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(x0, y0, \"r-\")\n",
    "ylim([-5, 5])\n",
    "plot(x, y, \"g.\")\n",
    "plot(x0, u, \"b--\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**É... Quanto mais pontos pior fica! Isto é o fenômeno de Runge**."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Pontos $x_k = \\cos\\left(\\frac{k\\pi}{N}\\right)$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "chebpoints (generic function with 1 method)"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "chebpoints(N) = cos.((0:N) .* π ./ N )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "1-element Array{PyCall.PyObject,1}:\n",
       " PyObject <matplotlib.lines.Line2D object at 0x7f0b18c06580>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = chebpoints(11);\n",
    "y = f.(x);\n",
    "lgr = Lagrange(x, y)\n",
    "u = lgr.(x0);\n",
    "plot(x0, y0, \"r-\")\n",
    "plot(x, y, \"rs\")\n",
    "plot(x0, u, \"b--\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Não está muito bom mas está melhor do que antes**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.lines.Line2D object at 0x7f0b18b3c8e0>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "for i in 1:length(x)\n",
    "    l0 = lagrange.(i, Ref(x), x0)\n",
    "    plot(x0, l0)\n",
    "    axvline(x[i], color=\"k\", ls=\":\")\n",
    "end\n",
    "axhline(1.0, c=\"k\", ls=\"--\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "1-element Array{PyCall.PyObject,1}:\n",
       " PyObject <matplotlib.lines.Line2D object at 0x7f0b18aacd30>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = chebpoints(12);\n",
    "y = f.(x);\n",
    "lgr = Lagrange(x, y)\n",
    "u = lgr.(x0);\n",
    "plot(x0, y0, \"r-\")\n",
    "plot(x, y, \"rs\")\n",
    "plot(x0, u, \"b--\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "1-element Array{PyCall.PyObject,1}:\n",
       " PyObject <matplotlib.lines.Line2D object at 0x7f0b059a3880>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = chebpoints(51);\n",
    "y = f.(x);\n",
    "lgr = Lagrange(x, y)\n",
    "u = lgr.(x0);\n",
    "plot(x0, y0, \"r-\")\n",
    "plot(x, y, \"g.\")\n",
    "plot(x0, u, \"b--\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "1-element Array{PyCall.PyObject,1}:\n",
       " PyObject <matplotlib.lines.Line2D object at 0x7f0b059923d0>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(x0, y0, \"r-\")\n",
    "xlim([-1.0, -0.75])\n",
    "ylim([0.0, 0.2])\n",
    "plot(x, y, \"g.\")\n",
    "plot(x0, u, \"b--\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7.793317685877987e-5"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "maximum(abs, u-y0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Vamos ver como o erro se comporta?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "maxerr (generic function with 1 method)"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function maxerr(fun, n, xpts)\n",
    "    x = chebpoints(n)\n",
    "    y = fun.(x)\n",
    "    lgr = Lagrange(x, y)\n",
    "    y0 = fun.(x0)\n",
    "    u0 = lgr.(x0)\n",
    "    plot(x0, y0, \"r-\")\n",
    "    plot(x0, u0, \"b--\")\n",
    "    plot(x, y, \"g.\")\n",
    "    \n",
    "    return maximum(abs, u0 - y0)\n",
    "    \n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "0.05350803943024096"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "maxerr(f, 14, x0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "N = 2:50\n",
    "ε = maxerr.(f, N, Ref(x0));\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "1-element Array{PyCall.PyObject,1}:\n",
       " PyObject <matplotlib.lines.Line2D object at 0x7f0b057b7be0>"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#semilogy(N, ε, \"ro-\")\n",
    "loglog(N, ε, \"ro-\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Problema 2\n",
    "\n",
    "Procure na Net o método de diferenças divididas de Newton a interpole a função anterior nos mesmos pontos. Este método é simplesmente um jeito inteligente de resolver a matriz apresentada lá em cima.\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Diferenças divididas de Newton"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "divdiffmat (generic function with 1 method)"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function divdiffmat(x)\n",
    "    n = length(x)\n",
    "    \n",
    "    A = zeros(n,n)\n",
    "    for i = 1:n\n",
    "        A[i,1] = 1.0\n",
    "        for k in 2:i\n",
    "            A[i, k] = A[i,k-1] * (x[i] - x[k-1])\n",
    "        end\n",
    "    end\n",
    "    \n",
    "    return A\n",
    "    \n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [],
   "source": [
    "using LinearAlgebra"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [],
   "source": [
    "struct DividedDiff\n",
    "    x::Vector{Float64}\n",
    "    a::Vector{Float64}\n",
    "end\n",
    "function divideddiff(x, y)\n",
    "    A = LowerTriangular(divdiffmat(x))\n",
    "    a = A\\y\n",
    "    return DividedDiff(copy(x), a)\n",
    "end\n",
    "Base.Broadcast.broadcastable(ddif::DividedDiff) = Ref(ddif)\n",
    "\n",
    "\n",
    "function interp(ddif::DividedDiff, x)\n",
    "    xx = ddif.x\n",
    "    a = ddif.a\n",
    "    \n",
    "    y = a[end] \n",
    "    \n",
    "    for i in (lastindex(a)-1):-1:1\n",
    "        y = a[i] + (x-xx[i])*y\n",
    "    end\n",
    "    return y\n",
    "end\n",
    "(ddif::DividedDiff)(x) = interp(ddif, x)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Algorítmo de Newton\n",
    "\n",
    "Um jeito interessante de calcular a interpolação usando diferenças divididas. Ao se resolver o sistema linear, pode-se escrever a solução como:\n",
    "\n",
    "$$\n",
    "\\begin{align}\n",
    "a_0 &= f(x_0)\\\\\n",
    "a_1 & = \\frac{f(x_1) - f(y_0)}{x_1 - x_0}\\\\\n",
    "a_2 &= \\frac{\\frac{f(x_2)-f(x_0)}{x_2-x_0} - \\frac{f(x_1) - f(x_0)}{x_1-x_0} }{x_2 - x_1}\\\\\n",
    "\\vdots &=  \\vdots\\\\\n",
    "\\end{align}\n",
    "$$\n",
    "\n",
    "o k-ésimo coeficiente vale:\n",
    "$$\n",
    "a_k = \\mathcal{F}\\left(x_0, x_1, \\ldots, x_k\\right)\n",
    "$$\n",
    "\n",
    "com \n",
    "$$\n",
    "\\mathcal{F}\\left(x_0, x_1, \\ldots, x_k\\right) = \\frac{\\mathcal{F}\\left(x_0, x_1, \\ldots, x_{k-1}\\right) -\\mathcal{F}\\left(x_1, x_1, \\ldots, x_k\\right)}{x_0-x_k}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "newton_divdiff (generic function with 1 method)"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function newton_divdiff(x, y)\n",
    "    \n",
    "    n = length(x)\n",
    "    F = zeros(n)\n",
    "    F0 = zeros(n)\n",
    "    F1 = zeros(n)\n",
    "    \n",
    "    F0[1] = y[1]\n",
    "    F1[1] = y[1]\n",
    "    F[1] = y[1]\n",
    "    \n",
    "    for i = 2:n\n",
    "        F1[1] = y[i]\n",
    "        for k in 2:i\n",
    "            F1[k] = (F1[k-1] - F0[k-1]) / (x[i] - x[i-k+1])\n",
    "        end\n",
    "        F[i] = F1[i]\n",
    "        for k in 1:i\n",
    "            F0[k] = F1[k]\n",
    "        end\n",
    "    end\n",
    "    \n",
    "    return DividedDiff(copy(x), F)\n",
    "    \n",
    "end\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "1-element Array{PyCall.PyObject,1}:\n",
       " PyObject <matplotlib.lines.Line2D object at 0x7f0b055bccd0>"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = range(-1.0, 1.0, length=11)\n",
    "y = f.(x)\n",
    "ddiff = divideddiff(x, y)\n",
    "y0 = f.(x0)\n",
    "u = ddiff.(x0);\n",
    "\n",
    "plot(x0, y0, \"r-\")\n",
    "plot(x0, u, \"b--\")\n",
    "plot(x, y, \"g.\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Alguém esperava algo melhor? Existe apenas um polinômio passando por um conjunto de pontos!!!**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "1-element Array{PyCall.PyObject,1}:\n",
       " PyObject <matplotlib.lines.Line2D object at 0x7f0b05577670>"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f1(x) = sin(π*x)\n",
    "\n",
    "x = range(-1, 1.0, length=6)\n",
    "y = f1.(x);\n",
    "ddiff = divideddiff(x, y)\n",
    "plot(x0, f1.(x0))\n",
    "plot(x0, interp.(ddiff, x0), \"r--\")\n",
    "plot(x, y, \"g.\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6-element Array{Float64,1}:\n",
       "  0.0\n",
       "  0.0\n",
       "  0.0\n",
       "  1.5543122344752192e-15\n",
       " -1.7763568394002505e-15\n",
       " -6.661338147750939e-16"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "d1 = divideddiff(x, y)\n",
    "d2 = newton_divdiff(x, y);\n",
    "\n",
    "d1.a - d2.a"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Problema 3\n",
    "\n",
    "Use a biblioteca Interpolations.jl e Dierckx.jl para fazer as interpolações. Compare a interpolação linear com os splines.\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [],
   "source": [
    "using Interpolations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = -1:0.2:1\n",
    "y = f.(x);\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [],
   "source": [
    "itp1 = interpolate((x,),  y, Gridded(Constant()));\n",
    "itp2 = interpolate((x,),  y, Gridded(Linear()));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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y2UsdW4smIyNGmMlPf/jB83EVUacOtG9v9nNyAJVpRPyBkhERKb8dO8w2PxnZv9+0jGRnQ6dOng/HaoVt2+D77x0O2ko1+cmIiPg+JSMiUm6W7LNQty6cey5g1qEBM8VH3bqej2fhQpME3XWXw8H8ZMSSk+35gESkQpSMiEiZnEodPXvapzf19PwihQ0YYEL55Rc4dCj/YKGWEZVpRHyfkhERcU1+icZq9X4yUr8+dO9u9m2tNHTtCiEhykJE/IiSEREpNwtW+7Tre/dCcjKEhkL//t6Lqch8IxER0LmziVVE/EKFkpGZM2fSqlUrIiIi6NOnD+vWrSv1/Jdffpl27dpRo0YNWrRoweTJkzljX/tbRHyd1bGVIb9lxPbm37evWcDXW0qd/Aw1kIj4A5eTkfnz5zNlyhQee+wxNm3aRNeuXRk+fDiHDx8u9vz333+fhx9+mMcee4zt27czZ84c5s+fz//93/9VOngR8ZC8PLOtWw/OOQcwScALL8CECV6MC9NvJCQEfvvNfAFOyYiI+D6Xk5EXX3yRcePGMXbsWDp06MCsWbOoWbMmc+fOLfb8VatW0b9/f2666SZatWrFsGHDuPHGG8tsTRERH5KfjFg6d7J3Xj3vPJgyBW680ZuBQe3a0KeP2bf3G+nVq6BMY0ukRMRnuZSMZGVlsXHjRuLj4wtuEBREfHw8q1evLvaafv36sXHjRnvysXfvXr7++msuu+yyEl/n7NmzZGRkOH2JiPdYc/Pf0Lt08W4gJXj0UVi8GEaOzD/QoYP9Oevvf3gnKBEpN5emg09LSyM3N5eYmBin4zExMeywTYZUyE033URaWhoXXnghVquVnJwcxo8fX2qZZvr06TzxxBOuhCYiVcnWutC5MwBLl8LBgzB0KDRt6sW48g0bVuhAaCiEhEIOZj2dEa29EZaIlFOVj6ZZvnw5zzzzDK+99hqbNm3i008/ZdGiRTz11FMlXjN16lTS09PtX/v27avqMEWkJKdPF5Rpuphk5LXX4G9/g3fe8WJcZbCE5n/W+uUX7wYiImVyqWUkOjqa4OBgUlNTnY6npqbSuHHjYq955JFHGD16NLfffjsAnTt3JjMzkzvuuINp06YRVMzKn+Hh4YSHh7sSmohUlc2bsZJfnmncmNxcWL7cPPTW/CLFWb8eFiyA3r3huuuA0BA4DdZtSkZEfJ1LLSNhYWHExsaSkJBgP5aXl0dCQgJxcXHFXnPq1KkiCUdwcDBQaLigiPimDRsK9i0WkpLg+HGIiiqYcMwXfPcdPP88vP9+/oHQULPdvh1yc70Wl4iUzeUyzZQpU5g9ezbz5s1j+/btTJgwgczMTMaOHQvAmDFjmDp1qv38ESNG8Prrr/Phhx/y22+/sXTpUh555BFGjBhhT0pExIc5JCMWS8F8HgMHmiG1vsLWSrN8uck9LCH5f1/OnC5Y4E9EfJLLf0pGjhzJkSNHePTRR0lJSaFbt24sXrzY3qk1OTnZqSXkH//4BxaLhX/84x8cOHCAhg0bMmLECJ5++mn3/StEpOps2IAVi/2ht6eAL0lsLERGwrFjsHkzkB+zFYtJqDp29Gp8IlIyi9UPaiUZGRlERUWRnp5OZGSkt8MRCRyZmRAZSY28k5yhBrt2mdJMZiZs2WIfXOMzrrgCvvzSlGtmzIDUVNhMF7rcPRD+8x9vhycScMr7/q21aUSkZElJTpOG7dplEpGGDX2zocHWWpOQYJ+bzXDs9yIiPseHKr4i4nPy38StQcGQZ1pCDh+G3buhmIFwXmdLRlauNDOzQn6ZJikJsrMLOrWKiE/xwT8nIuIzbC0KDplHw4ZQwuA5r+vUCaKjTSJiH0BTuw6cOaP5RkR8mJIRESmZLRnJr3k4lT58UFCQaQQ5dMihEeSC9marUo2Iz1IyIiLFy8iAnTsBsFrMn4obbjCzr/qyZs2ckybrBfmdW5SMiPgsJSMiUryffgKrFVq0wDZMdtUqWLvWu2GVl32cYEclIyK+TsmIiBTP9ubds6fTYV+bX6Q4kyebjrZAwQq+mzfD2bNei0lESqZkRESKt3Gj2fbs6Ti6l0GDvBOOK44eLRiRbG3aDOrVM6Npfv7Zu4GJSLGUjIhI8RxaRmwlj1atoGVLr0VUbk6tNxZLQeuOSjUiPknJiIgUdfw4/Pqr2Y+NtScj/ft7LyRXOLbenDiBkhERH6dkRESK2rTJbFu1ggYN7CWPCy/0WkQuadkSbOtwbtqEkhERH6dkRESKcijR5OQUDJX11cnOihMebrbr11OQjPz8M5w+7bWYRKR4SkZEpCiHZCQkpKCVoWFD74XkqogIs12/HjM8uWFDyMkxK/yJiE9RMiIiRRUa1uv7a3sXZWsZ6dcP8qzqxCriy5SMiIizo0fht9/Mfo8eHDzo3XAqytaac889+UvrKBkR8VlatVdEnNnmF2nThv2Z9cwErPl8fW0aR0ViVTIi4rPUMiIizmxv1rGxLFvm3VDcITMT8++wJSO//GIOiojPUDIiIs4c+oskJno3FHcYNsxMgrYvtyk0aWKmZk1K8nZYIuJAyYiIOMtPRqyxBcmIreThj2WaNm3M1ql1RKUaEZ+iZEREChw5AsnJAOytF0tyMoSG+udoGhtb/pGYiJIRER+lZERECtg6r7ZrR+L6OgD07etfLSKF9epltomJprUHUDIi4mOUjIhIgWL6izguOudPSYkt1i5dICwM9u2DPQ16m4M7d0JGhveCExEnSkZEpIBDMnLzzTB+PFx+uX+XacLDC6axT9gcbWZjtVrhp5+8G5iI2CkZEZECDsN6L78cXn+9oMzhz2ytO+o3IuKbNOmZiBiHDsGBA6a+0b17saf4Y5kG4NproX59iI8HPu0Jn32mZETEhygZERHD1nn1ggv46OvaNG9uWkVCQ70bVmVZrdCxo/kC1DIi4oNUphERI//NObdHL+68E/r3r6Zzg8XGmu3u3XDsmHdjERFAyYiI2OQnI0mNh3P8OERFFa3W+GuZBiAtDd58E2b8rwG0bm0Obtrk+cBEpAglIyJiahn5yUji6X4ADBwIISH+PZIGCuL/4w8YNw6eegpyeuQP8VWpRsQnKBkREdi/H1JTITiYxF3NAef5RaqDbt2gXj0zvcimJpeZg0pGRHyCkhERsb8pZ3Xoxoofg4HikxF/LtMEB8PFF5v9hNP9zY6SERGfoGRERGD9egDWnfNXTp2Chg0LRp9UlzINOMw3sqel2fn9d9OZRES8SsmIiNhbCJYHDQJg0CAIqoZ/HWzJyA9rQjl7XgfzwDakWUS8phr+uRERlzh0Xn3o/4JZvRoeeqj4U/25TANwwQXQuDGcOQNrWo00B1WqEfE6JSMigW7vXjPfRlgYod0707cv9OhR8HR1KtNYLKZ1xGKBbVHqNyLiK5SMiAQ625tx165medtqbvp0+PNPuOu+/KlllYyIeJ2SEZFAl9959d9hD3LnnbBmTcmn+nuZBqBlSzPEl+7dzUn790NKikdjExFnSkZEAl1+y8AHhwbyxhuwc6fz09WpTOOkTh1o397sqxOriFcpGREJZLm5sHEj6USy/veGgBlJU9198QUMGADTgp81B1SqEfEqJSMigWzXLjh5kpXh8eTlWWjTxpQxSlIdyjQAJ0/CDz/A4uN9zQElIyJepWREJJDl9xdJbHA9AEOGFD2lOpZpbK0/Px1oyFHqmWTE3/+hIn5MyYhIILMtjpd1IVD91qMpSdOmpruI1Wrhe8sg04H14EFvhyUSsJSMiASy9etJowGb05oBBWu3lKS6lGmgoBUosf61ZkelGhGvUTIiEqiysyEpiWRa0rZVFp07Q6NGRU/z9+pFSfHbWoESci42O0pGRLwmxNsBiIiX/PILnDlDj8g97NwTwslT3g7IswYONK0n29ObcojGNNHwXhGvUTIiEqjyO6/SsycEBVG7dtmXVKcyTYMGpiNrZO5RTnxfhya2Tqz+9I8UqSaUjIgEqg0bOEsYQd17E1rKadW1TAOQkACcqQl1foMjObBvX+ljm0WkSqjPiEigWr+ej7ie+jOfZMoUbwfjRRER0Lmz2Ve/ERGvUDIiEojOnIGtW0lkMCfPhJZ7fTx/qmCUN1arFfa0vZRj1FUyIuIlSkZEAtHmzVizs0kMigdKn1+kOpdpAK67DtrMf5rPuFrJiIiXKBkRCURr17KXc0nOa0FoKPTv7+2AvKdDB7NNZLBmYhXxEiUjIoFozRrz5gv07Qu1apXvsupYprFPfsZgrMeOwW+/VV1QIlIsJSMigWjtWnsyUtYU8P7eUFBW/H37mj6sh2jKDtqrVCPiBUpGRALNkSNY9+4tdzJS3UVEFJSp7KUaEfEoJSMigWbdOrII477o97nkEujTp/yXVscyDRQkZEpGRLxDyYhIoFmzhnCy+L/LN/PNNxAeXvrp1b1MAwX9RpYxiLwNmyAvr2qDEhEnSkZEAs3atWbrSpNINRcbC5Pvy+N/oXeSd+Ik7N7t7ZBEAoqSEZFAkpdH7toNfMRfOXy+6+N5q2uZJiQEXnw5iCt7HiCE3IJ1e0TEI5SMiASSXbtIymjNSD6i3V87k5tb9iWBUKax693bbNesqZJYRKR4FUpGZs6cSatWrYiIiKBPnz6sW7eu1POPHz/OxIkTadKkCeHh4bRt25avv/66QgGLSCWsWUMCpoPERRdZCA72cjw+JC8Pvo+6gsd5jOxVpf9NExH3cnnV3vnz5zNlyhRmzZpFnz59ePnllxk+fDg7d+6kUaNGRc7Pyspi6NChNGrUiI8//phmzZrxxx9/ULduXbf8A0TEBWvXksiVQMWG9FbXMo3Nda8OJI3BDN28jP6nTkHNmu4PTESKcLll5MUXX2TcuHGMHTuWDh06MGvWLGrWrMncuXOLPX/u3LkcPXqUzz//nP79+9OqVSsGDhxI165dKx28iLgma/VGVjIAKH8yEihlmqAgGDTE/ElMzL1IQ3xFPMilZCQrK4uNGzcSHx9fcIOgIOLj41m9enWx1yxcuJC4uDgmTpxITEwMnTp14plnniG3lGL12bNnycjIcPoSkUo6dYp1W2twilo0bJBLx47eDsj3DB5smlMSGQwl/E0TEfdzKRlJS0sjNzeXmJgYp+MxMTGkpKQUe83evXv5+OOPyc3N5euvv+aRRx7hhRde4J///GeJrzN9+nSioqLsXy1atHAlTBEpzsaNJOYNBEwLQFAFeoxV9zKNrbVoFf04/cNG9wYkIiWq8tE0eXl5NGrUiDfeeIPY2FhGjhzJtGnTmDVrVonXTJ06lfT0dPvXvn37qjpMkerPaT2a8r9TB0qZBuD886F5o7NkEc6qH/L8/x8v4idcSkaio6MJDg4mNTXV6XhqaiqNGzcu9pomTZrQtm1bgh267V9wwQWkpKSQlZVV7DXh4eFERkY6fYlIJa1dy7vczNt//ZLLL/d2ML7JYoHBQ02//sTj3bWCr4iHuJSMhIWFERsbS0JCgv1YXl4eCQkJxMXFFXtN//792b17N3kO0yvv2rWLJk2aEBYWVsGwRcRla9fSnAOMnlCb5s0rdovqXqYBGDzUfHBaSx/NNyLiIS6XaaZMmcLs2bOZN28e27dvZ8KECWRmZjJ27FgAxowZw9SpU+3nT5gwgaNHj3Lfffexa9cuFi1axDPPPMPEiRPd968QkdLt3w/79pkhIz17unSpv1cqXI1/xAjYcMMMljBcnVhFPMTleUZGjhzJkSNHePTRR0lJSaFbt24sXrzY3qk1OTmZIIeecS1atGDJkiVMnjyZLl260KxZM+677z4eeugh9/0rRKR0P/7IFF6gaWMLt5ypQ8M63g7Id9WvD/WvagEf5ikZEfEQi9Xq+597MjIyiIqKIj09Xf1HRCogffxD1P/vM+QRTHIyuDJALSMDoqLM/pkzZa/y6yu6dYPNm+Hbb2HoUBcvTk6Gc84xi9akp2vyM5EKKu/7t9amEQkAK787Sx7BnN84w6VEBAKvTAPwR14Lbq3xAX/J+UyTn4l4gJIRkeru5EkS97YCYPAQ/cqXR42aFv53+gYW8ReOLE3ydjgi1Z7+MolUd+vWkWAdBMDgK2pX6laBMJoGoFEj6Nz4CADLF59xU0QiUhIlIyLV3JGlSWzBrEuwOvcAACAASURBVAV18cWuXx+IZRqAwQOyAUjc1sj/vwkiPk7JiEg1t3zxaQA6N02jmIW1pQSDr48GIOF0P01+JlLFlIyIVGd5eezfkUk4Zxg8MK/s88sQKGUagIviwwgil19py76FP7knKBEplpIRkeps2zYmn5nO8ZrNeOSl+hW6hb9XKCoaf926ENv4AADLPk93Y0QiUpiSEZHqbNUqACL6dqNBjMtzHAa8If3P0pGfCd613duhiFRrSkZEqrHclSYZoX9/t9wvkMo0AE+/Xp+f6cyoQzPgyJHK31BEiqVkRKQaG/fFX+jCZr4MvqrC9wjUMg1AUMMG0KGDefDjj+4JSESKUDIiUk1ZD6WQcLI3W+lCeJd23g7Hfw0YwFnCSFmsyc9EqoqSEZFqau+nSSRzDqGWbPoPq+WWewZamQbgbcZQl+NMWtDPPTcUkSKUjIhUU4mfHgegb+M/qFWJXCSQyzQA5w49jzPUIPFoN/IyTronKBFxomREpJpK3FQXgMH9z3o5Ev/We0QMNS2nOEIjts3f6u1wRKolJSMi1ZD16DESj3cHYPBNjd1230As04SFwYDGvwKQ+Mlx99xURJwoGRGphn75IInDxFDDcpo+lzWo1L0CvUwDMLivmVI/cWNk5W8mIkVoFiSRaiho4wZu4Q+sbdoSHq6Ol5U15IaG8BksT+tEzulsQmqEejskkWpFLSMi1dAFPy/gLcYy79G9br1vIJZpALpd3Zq6luNkEMWmD3a678YiAqhlRKT6OXECNm0y+wMHVvp2KtNAcGgQ97f7ivAdm2n223lAp8rfVETs1DIiUs0c/HIjP+V2Ju+c1tCihbfDqTb+cVsKDzKDZkmLvB2KSLWjZESkmnn3zdP04CdGWd53+70DtUwDwKBBZrtiBeTkuPnmIoFNyYhINZP4U30A+sa5591YZZp83bpxMLI972aMYPunWsVXxJ2UjIhUI1nHT7HyuOnPMPjmpl6OppoJDuaBOrMYzbt8+EaGt6MRqVbUgVXE3yUnQ1oaAOveT+YUV9HQkkbHhodh0xGIjoaWLb0cpOe5vUyTnMzgDql8cAAS19XiCVsnYZsA/T6LuIOSERF/lpwM7drBmTMAJPIIcBWDrAkE9b7BnBMRATt3VviNUmUa7N/nIWcaA9ez5kRHMmPrUotTBedU8vssEshUphHxZ2lp9kQEIJHBAAwmseCcM2fsLSdSQfnf59b8Tit+I4dQVjLA+Rx9n0UqTMmISDVxihqsJg4olIy4iT+NpIGqi9f2vbUlfiJSeRar1fcbYTMyMoiKiiI9PZ3ISK0NIf7t8cfhww/ddLMzZ+CP3wGwAqepyWkiqM9RnN6Lz2llyggVkJMDe/aYN/e8vErG60FxcbBmDTRtCnXqVPJmDt/nDCI5RFPCOU0r/nA+rxLfZ5uGDeH99zVFjFQP5X3/Vp8REQ+bMQMyM911twigfZGjaTRyPvBHkVNcdt55lb+HJ7VpY5KRgwfdcbei3+ez1GBn4e+9G77PO3fCkiVw++2Vv5eIv1AyIuJhttaFjz6Cxo0rebNdO8v3rvXmm9C2XaVeqkuXSl3ucXPnwoQJkJvrhpsV+j4vZjhxrCaKQkN8K/l9njYNVq50U8wifkTJiIiH2QqjvXvDOedU8ma1MoEfeI6/s4P2PMAMOvJL0fO6Z0KPSr6WnwkNhX7uWrA4//tsM8Bh30klv8/R0RW/VsSfqQOriIe5u5dWFqG8zCTeYixb6ezem0uZMqhsh5SifL8nn4h7KRkR8RK3jPaIjmZB6ChSaEJTDnAtnxQ9JyJCH7krKzq6SMfUX7iA/vzAYBKxglu+z/42YknEXVSmEfEw26det7zxtGzJKx1nQRJM4HVCX3oeLrrI+RzNDFp5LVuanqW2eUSsVhpdfgsbU2M5SwSr5+6g35Aalf4+234m1DIigUbJiIgfW7sW1iWFE8ZZ7giaA7fuBA1/rxotWzolG9FX9mfUG+8xl9t4ZUk7+o31Ymwifk5lGhEPc2fLyCuvmO2NfECjPq2ViHjS8OHci/kP+Phj2L+/8rdUy4gEKiUjIn7q4EEzPBgwb4pDhng3oEAzeDBdg35mIMvJzYVZs7wdkIj/UjIi4mHuahmpUQMefzSP68M+pwc/wbBhlQ9Oyq9uXejTx9468t//Oi0TVCFqGZFApWRExE/VqwfThm9gftbVEBVl5j8Xzxo2jCtYSMuaR0hLM+Uad1AyIoFGyYiIh7l1NM3ixWYbHw8h6o/uccOHE0Iuz1mm8tGHuYwcWbnbaWivBColIyIeVtlPvVarmeb8k08g5+tvzcFLLql8YOK6Xr0gKoobMufw19YbCQ11z23VMiKBRsmIiJdU9FPw6tWms+SoUVaOr9tlDg4f7r7ApPxCQgo6Dn9rEsPKrGyslhEJVEpGRDyssmUa23DeUXG/EW09Ah07ar15b8rvOJy3ZCnTp5vVjZOTK3YrdWCVQKVkRMSP7N9f0EnynjpvmZ1LL/VaPII9GQlas4ql3+Tw++/w+uveDUnE3ygZEfGwyrSMzJpllpe/6CIr3dbPNgfVX8S7WreGtm0hJ4d749YD8MYbcPq067dSy4gEKiUjIn7izBkzlwXAfVf+ASkpULMmXHihdwMT+MtfABiRMptzzoGjR+H9970ck4gfUTIi4iWutox88IFZp61lS7ji9HxzcPBgCA93f3DimssvByD4m6+4e6LpwfrKK663cKhlRAKVkhERP9G0KfTpAxMnQsi3X5uDKtH4hgsvNOsCHTnCbd02UbMmbNkCK1ZU7HZKRiTQKBkR8SDHNxlXW0aGD4c1a+D+W4/Bjz+ag+q86hvCwuzDq+ut+IIxY8xh28in8tLQXglUSkZE/Ezwt9+YXqydOsG553o7HLHJ7zfCokXccw+MHg1Tp1bsVmoZkUCjZETEgyrSMrJvH8yYAceO5R9YuNBsR4xwa2xSSZdeav5Tf/qJDlEHePtt6NnTtVuoZUQClZIREQ+qyCfe116DBx+Em24CsrLgm2/ME1dc4dbYpJIaNoS+fc3+okWVupVaRiTQKBkR8ZLyfAo+fdrMWQFw553AypWQkQGNGkHv3lUan1RA/qgavvoKgF9+gTvugHnzyne5WkYkUCkZEfEgV8s0779v5qxo1Sq/KuNYognSr6/PsfUb+e47OH2aJUtg9mx4/vnytXZoaK8EKv01E/FRVmvBaIy774bgICt8+aU5oP4ivqlLF2je3DRpJSYydizUqgXbtsGyZd4OTsR3KRkR8SBXWka+/97MVVGzJtx6K+Yd7bffICIC4uOrNE6pIIsFrrzS7H/2GXXrwi23mIflGearlhEJVEpGRHyU7c1rzBioV4+CEk18vPm4Lb7pmmvM9osvICeHe+4xDxcuNLlkeSgZkUCjZETEg8rbMpKXZ/KN0FDsb2Z88YXZqkTj2y66COrXN3P3//AD7dub+dCsVpg5s/RL1YFVApWSEREfFBQE77wDhw5Bhw5AcjKsW+dcBhDfFBJS8H/06acA3Huvefjmm3DyZNm3UMuIBJoKJSMzZ86kVatWRERE0KdPH9atW1eu6z788EMsFgtXXXVVRV5WxO+5OpqmQYP8nfw3NQYMgJgYt8clbmYr1Xz6KeTlccklZvmaSZPM5LklUcuIBCqXk5H58+czZcoUHnvsMTZt2kTXrl0ZPnw4hw8fLvW633//nQceeIABAwZUOFgRf1eeT7w//AA7dhQ6+PHHZnvddW6PSapAfDzUrg0HDsCGDQQFmSliHn8coqLKvlwtIxJoXE5GXnzxRcaNG8fYsWPp0KEDs2bNombNmsydO7fEa3Jzcxk1ahRPPPEE52otDRGg+E/BViuMHw8XXAALFuQfPHgQVq0y+7ZP3OLbIiIKJkCztWqVg1pGJFC5lIxkZWWxceNG4h2GFQYFBREfH8/q1atLvO7JJ5+kUaNG3HbbbeV6nbNnz5KRkeH0JVIdlPWJd9kyM4K3Vi0YOjT/4GefmQvj4qBZsyqPUdzEljh+8on9Pz4314yqeeyx0i9Vy4gEGpeSkbS0NHJzc4kpVLOOiYkhJSWl2Gt++OEH5syZw+zZs8v9OtOnTycqKsr+1aJFC1fCFPELxX0Ktg3n/dvfoG7d/IO2Es2113oiLHGXSy+F8HDYvdtkmJihvVdeCU89ZQ4XpnlGJFBV6WiaEydOMHr0aGbPnk10dHS5r5s6dSrp6en2r3379lVhlCKeU1oH1r17C6YSufvu/IOHD8OKFWZfyYh/qVOnoHkrP6Fs0wYuu6zkYb4q00igcikZiY6OJjg4mNTUVKfjqampNG7cuMj5e/bs4ffff2fEiBGEhIQQEhLC22+/zcKFCwkJCWHPnj3Fvk54eDiRkZFOXyLV3cyZ5k1q+HBo3z7/4Oefm0lHYmPNAjXiX66/3mw/+MCeidqG+c6dCydOFH+ZWkYk0LiUjISFhREbG0tCQoL9WF5eHgkJCcTFxRU5v3379mzdupWkpCT71xVXXMGgQYNISkpS+UUCTkktIydPwpw5Zt/2ZgXARx+ZrVpF/NNVV5nOrLt2QVISYBpL2rUziy+//bbz6WoZkUDlcplmypQpzJ49m3nz5rF9+3YmTJhAZmYmY8eOBWDMmDFMnToVgIiICDp16uT0VbduXerUqUOnTp0ICwtz779GxE9t22bmyjr/fLjkkvyDhw4VrK52ww1ei00qoU6dgpV8P/gAMBPa2WbVfeUV0/BVmFpGJNC4nIyMHDmSGTNm8Oijj9KtWzeSkpJYvHixvVNrcnIyhw4dcnugItVBSS0jffrA/v1mxvcg22/lRx+Zd6q4OGjd2qNxihvZEskPP7RnHmPGQGSkaTD59tuCU9UyIoEqpCIX3X333dxt72HnbPny5aVe+9Zbb1XkJUWqvYgIM7+I3fvvm+1NN3klHnGTyy4zLST79pn5Yi68kDp1zErMK1aYFrHC1DIigUZr04h4UHEtIxs2FNNUv3u3WYsmOBj++lePxSdVoEYNuPpqs59fqgF49lnzf+8wbZNaRiRgKRkR8aDCn3h374bevc1ieKdOOTxhe9OKj9daNNXBjTea7YIFkJMDmClISko+1DIigUbJiIiXWCzw6qvmjee886BmzfwnrFZ47z2zrxJN9TBkiFn18MgRSEx0eio93XRkzcjQpGcSuJSMiHiQ45vMyZNmrgkoNJw3KQl27jSdSLTCdfUQGlpQbrMlmvmGDYP77oO33lKZRgKXkhERL3n3XTPpVbt2DuvQQMGb1YgRZsiFVA+jR5vtxx87zXaWPysC//lPQbKqlhEJNEpGRDzI8U3mtdfM9p57HIbzZmfDO++Y/Ztv9mhsUsXi4qBtW9M5yLbeECZHiYoy/YeSk70Yn4gXKRkR8ZJffzUNH2PGOBz85huzHk2jRmahNak+LBazAiKYmky+WrXg9tvN/tatZquWEQk0SkZEPKjwm8xtt5kpKOz+9z+zHT3a9DOQ6mX0aJOUrFgBDmtzTZxoDmtNUAlUSkZEvOS772DSJIcDhw/DV1+ZfVtHAqlemjcv6CA0b579cOvWcMUVBaepZUQCjZIREQ9yfJMZOBBatnR48r33zBwUvXpBx44ej008xJZozpvnNNvdvfdqNI0ELiUjIh7kNLGZI6u1YJzvrbd6LB7xgiuvND1Wk5PBYfmMQYPgllvMvlpGJNAoGRHxIMcl450+BW/cCD//bOYW0Qq91VuNGgUzstr6CGF+Hmz9h5SMSKBRMiLiIXl5MHt2CU/OmWO2V18Ndet6LCbxElupZsEC+PPPIk8fPQpbtng4JhEvUjIi4iHffAO//17w2N4ycuKEmQENYNw4T4cl3tCrF3TvDmfPOnVktf1MvP46TJnipdhEvEDJiIiHvPKK82N7MvLuu2Zu+Pbt4eKLPR2WeIPFAhMmmP1Zs+wdWW0/ExYLJCTAtm1eik/Ew5SMiHjA9u3w7bcOM63aWK3mYzDA+PEaThFIbrzRdBL59VdYtszpqbZtzfY///FCXCJeoGRExANefdVshw8vOGaxAKtWmWk3a9QoNBWrVHu1axf8n+cnpLZctGdPs337bTh2zAuxiXiYkhGRKnb6dMFyM7Zpv+1srSI33AD16nk0LvEB48eb7eefw8GD9sPNm0OXLuZnx9a3WaQ6UzIiUsVq1ICkJJg+Hfr1c3jiyBEzmgIK+g9IYOnUCS68EHJzYc4cpz4j995r9l991TwtUp0pGRHxgHPPhYcfLtQlZO5cyMqC2FgzukICk6115I03IM9kHVYr3HQTNGgA6emwY4cX4xPxACUjIlUoJ8f5sW0yK4vFWtA78e67PRuU+JbrroOYGNi/H8uvvwLm56RGDfj6a9i/X6sDSPWnZESkCl1+uZnHbNcu89hpZs0DB8ybkG02TglM4eFw111mf+NGp6d694ZatbwQk4iHKRkRqSLbtpnhvAsXmvcbRxZr/gJpd91V9EkJPBMmQHg4ltRDQNHp4K1WlWqkelMyIlJFbFWYq66Cc84x+/YyDVaThNj6C0hga9gQRo82PxeFHDli+rl2717szPEi1YKSEZEqcOxYwaJ4tlERRdx8MzRq5LGYxMdNmmTftR47bt+PjjZ565kz8Oab3ghMpOopGRGpAnPmmDkiunSBiy4qOG79IxnIbxmZPNlL0YlP6tgRS+tWZn/TJvthx2G+M2cW7RQtUh0oGRFxs9zcghlX77230HDe//7XbC0WDZGQovKnXrVu/dlp6tUbbjCVnH374IsvvBWcSNVRMiLiZl9+CX/8AfXrm7ki7FJSsH7wIQCWYP3qSVGWVq0AsGZnOy1MExEBd95p9v/9b8/HJVLV9BdRxM2GDDHN6Y8/buaKsHvpJcg6a/a1IJ4Ux/Hn4t//hhMn7A/Hj4eQEFi5En76yQuxiVQhJSMiblanjhmxe889DgePHYPXXsOKebOxKBmRYth+LKx168PRozBrlv25Zs3M/GgAH33kheBEqpCSERFPePVVOHkS2rX3diTiD3rnLw/wwgumJ3S+adNg6VJ45hkvxSVSRZSMiLjJn39C375mJE1ensMTJ0/Cyy8DYL3bNJeoYUSKY28ZaX8BtGwJqalmDaN8nTpBfLx+fqT6UTIi4iZvvglr18JrrxV6s3jtNdPk3qYN1ssu91p84keCguGhh8z+v/5lFlQs5NQpDfOV6kPJiIgb5OSYTqtQaDhvRgY895zZf+QRCA4G9MlWimdvGbECt94KjRtDcjL8739O5z33HDRvDp9+6vkYRaqCkhERN/jiCzMHRMOGMHKkwxMvvWRaRdq3h1GjHFbt9UqY4uOcfi4iIkwnEYAnn3TqO3LqlOkT/corno1PpKooGRFxA9ubwp13mvcQwHQiefFFs//EE/ZWEZGy2BfKGzfOLGx08KAp9+UbPx5CQ+HHH4ss9Cvil5SMiFRSUhKsWGHmgHBa9+75502ZpmtX+5hMtYxIaZzKNGAWpXnsMbM/fbr5eQKaNIHrrzeHHeZGE/FbSkZEKsn2ZnDddWYuCABSUgqaS556CoL0qyYVNHo0tGtnWtpeesl+2LZezQcfwOHDXopNxE30F1Kkkm64AS65pNAkZ089ZWr8vXvDX/5iP6yWESlNkZYRME1uTz1l9l94AdLSAPOj1aePGWjzxhuejVPE3ZSMiFTS0KHwzTfQr1/+ge3bCxbEe/ZZZR5SeddeC927m+nhbYkJBa0js2aZBRpF/JWSERF3+/vfzTvDFVfAoEFOT6llREpTbMsImDLf88+b/ZkzYccOwJQGH3oIli1T/2jxb0pGRCroq6/MyMsDBxwOJiSYJ0JCzGRVhRR5kxEpryFDYMQIk+g+8AAAYWGm8e38870cm0glKRkRqaBnnzVrhNjr9bm5cP/9Zv+uu0ynwxKoZUSKU2LLiM2MGSbRXbQIvv22yNNKdsVfKRkRqYCNG80cD6GhDsN5582DzZuhbl149NFir9ObhVRK27YwcaLZnzLFPh/8L7+Yob633urF2EQqQcmISAXYhvNef72Z84Fjx+Dhh83BRx6BBg1KvV4tI1KcMltGwCS69evDtm32ZrnMTFiwAN57z4wqF/E3SkZEXHT4sJnbAQpGMzBtGhw5Ah06FBrj60wdWKU05UpG6tc3M/qC+blLTaVXL4iLg+zsgoFcIv5EyYiIi954w8zt0KePmeuB9evN2EowU3aHhno1PgkA48dDjx5w/Li9M6stMX799WIX+RXxaUpGRFyQnV2wRMi992I6rU6YYD7Kjh4NAweWer1aRqQ05WoZAdOJddYsc8G770JiItdeC02bQmqqKdmI+BMlIyIuyMyEq66CNm3yl5t54w3TmzUqqmAeCBFP6NXLJMIAd91FaN5Z+0Ot5iv+RsmIiAvq1jUtIzt2QFjqPjPjFMDTT0NMTJnXq2VESlPulhEb28/dzp3wr39xxx1m7pF162Dt2ioLU8TtlIyIVEBwkBXuvNNMzx0XV2i5XhEPqVu3YPG8p56iUepWHnzQHGrf3ruhibhCyYhIOc2aBWvW5D94+22zIE14OMydW+65uNUyIqVxuWUEzEqNI0aYDk1/+xv/fCybSZNM5VDEXygZESmHlBTTYTUuDrYmHIZJk8wTTzzh0kdQTXombmexmPG89erBpk3w3HPejkjEZUpGRMrhv/81Hzzj4qx0fmWcGVLZs2fB9O8uUsuIFKdCLSNgZt6z9Vp98kmyN27h7bfhkkvgzBm3hihSJZSMiJQhK8vM3QBwb8dEWLjQzCUyd64ZYukClWmkNBVORgBGjTIrRWdnY7ntVqZNs7JkCXz0kVtDFKkSSkZEyrBggZm7oWmjbK5992pz8JlnoHNn7wYm4shWrqlfn5DNG5l47jeAaTBReVB8nZIRkTLYWr/vCn6D0DMnID7eLFJWAWoZkdJUqmUEoHFjmDMHgNtXjCEiLJeNG2H1avfEJ1JVlIyIlGLtWjNnQ3hwNnccetwsgDdvHgTpV0d81FVXwV13Ec2fjAr6ENAkaOL7XCt4i1R3ycmQlmZ/mLYmknPqN2LQ0U9oSBo896aZc7uC1DIipal0y4jNjBmwYgX3/Pwv5jCKjz+2sv+bn2kek+18XnQ0tGxZyRcTqbwKfbybOXMmrVq1IiIigj59+rBu3boSz509ezYDBgygXr161KtXj/j4+FLPF/Ga5GRo1w5iY+1fl086nz1H6/ESk805d99tzhPxZTVqwEsv0ZUtDGQ5ubkWXr9sodPPNrGx5uddP8/iA1xORubPn8+UKVN47LHH2LRpE127dmX48OEcPny42POXL1/OjTfeyLJly1i9ejUtWrRg2LBhHDhwoNLBi7hVWlqx4yCDyaMu6ebBmTNOLSeuUsuIlMZtLSMA9esDcC+vMITvGMj3Rc+p5M+ziLu4XKZ58cUXGTduHGPHjgVg1qxZLFq0iLlz5/Lwww8XOf+9995zevzmm2/yySefkJCQwJgxYyoYtohhtUJenptulgu2/PwsYXzO1VzNp4SRXfS83Aq+RAWvk8CSl+eGn5X8n+cr+YIr+SL/UDGfPyvx82wTFKQEWyrHpWQkKyuLjRs3MnXqVPuxoKAg4uPjWV3O7tqnTp0iOzub+vlZe3HOnj3L2bNn7Y8zMjJcCVMChNUKQ4bAsmXuumMPyvVXuXflX0l/uKU4tp+Lt982X5XjuZ/n5s3hp59MFxSRinCpTJOWlkZubi4xhVYnjYmJISUlpVz3eOihh2jatCnx8fElnjN9+nSioqLsXy1atHAlTAkQJ0+6MxHxrIsv9nYE4ov69IGICG9H4br9+00yIlJRHh1N8+yzz/Lhhx+yfPlyIkr5jZs6dSpTHOZxyMjIUEIiRTiWZw4eNGvWVcbmBbv42/hwkjmHCE7zPA9wEx8UPTFxGXTtWuHXsVjMYqsihQ0cCEePwunTbrjZ5s0weJD9YSY1uYov2EQsAA/wPH/nOYITEyr18zxwIPz8syZWk8pxKRmJjo4mODiY1NRUp+Opqak0bty41GtnzJjBs88+y3fffUeXLl1KPTc8PJzwyr6zSLXnmIxER5sZ2itqzhyYeE8bzhLEuezhE66lG5uLPzkqF0quMopUSo0a5qvSonKBY/aH9TnGKvpxPy8wk7uZwYNspivv50F0JX6ebb93buu7JQHJpTJNWFgYsbGxJCQk2I/l5eWRkJBAXFxcidf961//4qmnnmLx4sX07Nmz4tGKOHD8JFaZPhiZmfDUU1bOZgfxF75kAz1LTkRE/Fg4WbzKPbzHTdQkk6UMo/uoC1izpuL3dOsIIAlYLg/tnTJlCrNnz2bevHls376dCRMmkJmZaR9dM2bMGKcOrs899xyPPPIIc+fOpVWrVqSkpJCSksLJkyfd96+QgOT4SawyE6LWqpHHJ+3/wTNM5QuupB7HSz45IkK99MQ/REeX2AHlJj5gHb1py072p4ZxzTUVX93X9runlhGpDJf7jIwcOZIjR47w6KOPkpKSQrdu3Vi8eLG9U2tycjJBDu8Mr7/+OllZWVx33XVO93nsscd4/PHHKxe9BDTHP36utowsWgR//gljRlvhvvuIXfIqsaGhMGcedOxY8oWasVL8RcuWsHNn8fOInDlDxzvvZP3PvRhX4z1ufbY3ERExRc8rByUj4g4Wq9X3G9cyMjKIiooiPT2dyMhIb4cjPiI11awLBuVvIs7Nhccfh3/+03R4XX/bLDq/NsFkM++/DzfcUGXxiviUI0fgootgxw5o0wZ++AFiYvjuOzNUt3378t2mb1+zhtMXX8AVV1RtyOJ/yvv+rdW+xG/ZPomVt0STlgaXXmoSEYBxfbbQ7rV7zYP//EeJiASWhg1h6VI45xzYvRuGDWPPpnSuuw569YKPPy7fbdQyIu6gZET8livJyNq10KOH+dtbsya8e8tS/rOiq5ld9bHHYOLEqg1WxBc1bw7ffWeaGLdsofa4G+neJYeTJ+Gvf4UpcqUbTgAAIABJREFUUyA7u/RbKBkRd1AyIn6rvOu8zJoFAwbAvn3Qti2snfwho+YNM08++KBJRkQCVZs2JkuvX5+YTd+w9MxFPHSf6c360kswaJCZx6ckGk0j7qBkRPxWeVtGjhwxn+6uuQbW3zGbTk/faJ548EF47jnNzS7SqZNpIWnQgJD1q3l2ZX8+e/sEkZHw44/QvTssX178pWoZEXdQMiJ+q7RkxPFT2rRp8NFH8HHcC0Q+cIc5qERExFn37pCYaEaMbdrEVS8MYMO3R+nSBQ4fhgULir9MyYi4g5IR8VsllWk++8ys/XLqlHkcZLHy1w0PYXnwAXPgoYeUiIgUp0sX0wQSEwObN3P+3/qzen4yTz4JL75Y/CUq04g7KBkRv1W4ZSQnx+QZ11wDK1bAK6/kH7z9dvjXv8xJzz0Hzz6rRESkJB07moSkeXPYsYOaQ+J45Kqt9rWfcnLgttsgKck8VsuIuIOSEfFbjslISgoMHVqQc9x/P9w/4ZQZEjB3rjlpzhz4+9+9F7CIv2jfHlavNonJwYOmB/j33wMwY4b5lYqLg7feUjIi7qFkRPyWrVk4N9cM212+HGrXNrXtGVMOEjrkIvj8czO72SefwK23ejVeEb/SvDmsXAkXXgjp6TBsGLz/PnfcYebrOXMGxo6FX34xp6tMI5WhZET8lu2TWGYmHDoEHTrAhg1w3bmbzKxNGzdCgwZm2OJVV3k3WBF/VK8efPstXH01ZGXBqFHUn/F/fLUwjyefNNXOAwfMqYUWcxdxiZIR8Vu2ZMRigRtvNBObtdv2qWlSPngQLrgA1q0zj0WkYmrUMM2NthLn9OkEXXMVj9yXweLFEBpqDj/+ODgs6C7iEiUj4nds637ZmoXr1oX35uVQ+6mH4NprzTCaYcNMzfvcc70XqEh1ERxsOn+/844pe375JfTrx7Bzd9tz/exsMwhHpCKUjIhfmT8fWrc2i3LZWkZCg3OxDI0v6L06aZJZljcqynuBilRHN99sOrI2aQLbtkFsLLXSzfSs999v5k6zKWsaeRFHSkbEL2RlmRzjhhvg5EmYN89hnpGjf5o/kLVrm2zlpZcgJMS7AYtUV336wPr10L8/ZGRg2bgegNbNC7KPVavMgJw1a7wVpPgbJSPi8w4cMOtj/Pvf5vHDD8NH72WT9+prAATl5Zjeq+vXw/XXezFSkQDRrBksWwYPPUQQpoky77nnYc8eAB55BPbuhYsugpkzNdJGyqZkRHzasmVm2O6qVRAZaUbqTr/1V0IuvpC82W8CEFQzwvRebd/ey9GKBJDQUHj2WYL6xQGQl7wPunaF//6Xzz61ct11plRz992mupOZ6eV4xacpGRGftWMHxMebdTG6dIGNG6xceXg2dOsG69ZhrR0JgKV+fVOiERGPszRpDID1/HYm4xg/nsgbLuOjlw/y4oum7+v770Pv3uZ3WqQ4SkbEZ7VvDxMmwJgxsPqD32kzcTjccYcZLTNoEHkfzAfKXrVXRKqOfQbWe+41/bXCw2HxYiydOzE55n2WJVpp0sRMjtarF+zc6d14xTfpz7j4lK1bnSdP+vcLObzV5UVq9upoJi+LiIDnn4fvviOvoRlHqGRExHvsyYg1yPQy37QJYmPh2DEYNYoBz1zKps/+4OKLYfhwaNvWq+GKj9KfcfEZ775rOurfcINZjIukJIIvjMPywP2mNeTii2HLFnjgAQgKKnHVXhHxnCKr9nboYOb4efJJ00qyZAmNB13A0qH/Yt6b2fbzT5wwcxOKgJIR8QFnz8Jdd8Ho0XD6NIRbsjh152Tz6WrDBjNfyJtvQmIinH++/brCq/aKiOcVu1BeaKgZUrNlCwweDKdPEzLtIWpdFAvLl2O1msW0u3c3ndRF9GdcvCo52Qz/e/11sFisPHbJWhZtakLk3JfNX7frr4ft282a5YWaQJSMiHhfqav2tm0L331nJgZq0MDUYQcN4viI0ezYcpbDh00n9eee0/DfQKc/4+I1335rhu2uWwf1amexqOVdPL64L8HpR80QweXLzSRmTZoUe73KNCLeV6RMU9wJY8aYoTR33QVBQdRb9C6r98QwpuMG8vLM3EFXXw3Hj3ssbPExmqZSqkZycsEiMsXIqRvNpEkt+fNPiK29g49PXkKrk39A/frw9NMwbpwZE1gKtYyIeF+pLSOOoqPNDGgTJsCUKdRcupS3tvWif+3J3HP6X3zxRQg9e8Inrx6ia6NDpd+nZUu3xS++QcmIuF9yMrRrB2fOlHhKSFgYC7rfzCy68fzJB4kIByZOgWnTTEJSDkpGRLyv3MmITadOsGQJfP01lvvv546dL9GDFVwX/Bl79rTgmktPs5PehJBb/PUREWZ8sBKSakV/xsX90tKKTUQ20Z23uMU8yMqi49q5/Cd4MhG3j4Zff4UXXih3IgIq04j4gjLLNCVddPnl8PPPMGcOPVseYWNuN67gC97ilpITETB/W0ppdRX/pJYRscvJMcPtKi0jGKhrf5hLEO9yMw/zHLkE05hD9GEdDLzYrLRrGyFzzLWXSU83W7WMiHiP7fcvM9NMLeKaELj6VrhsFEHvvMNb06fAsaMcy//7sZR42rKLc0h2viwj2OW/F4WFhUGtWpW7h7iPxWr1/T7MGRkZREVFkZ6eTmRkpLfDqZbOnIGOHc3iVv6mSxfYvNnbUYgEpjvvhDfe8HYUrgsOhrffhptu8nYk1Vt537/1mVIA083DHxMRiwX+8hdvRyESuIYONd04/E1uLqxc6e0oxEbJiAD5M55iumxkZ5f/688/4Z13zJxk2dt3k33PFE7XqE8D0oghhTuYxTdcwikiyCbE+WvtJpdeq7ivrCwz+EZEvOO66+Dkycr9Htu/1m5y+htxllC+ZwBTeIHz2O30uv8dt57sU//f3r2HRVXtDRz/DrcBkouEgijeDUhQNAP1qdAkxajUekupY2i+2s2sY1laiaWVdvR0OR27Hi+dtwtZB7WTaJbpKY00EW+IJoaKHcEQBQQEgfX+sWNw5DYzDMwAv8/zzIOz92/vWb9Zs/dezqy19iXDecCc11m4UNtH9XlP2J70GRFAzUHp7AxOjXwq8vJg/XpISoJvv1WUl+vopj/DA2X90KF9qH5iKL3IwpEGutg7IZ9AIdqARkbhm84JuKLz6k1s5ya2s4ynOEgoa5nAesYx4YNbcdrgAtOm8Tfd4/xf8tVMmKDNVxIS0vDLuLhof6UxYj/kUiAA48ZIfT7+GFasgP/85/JhfDqCOMxdZf/iIm64xURBbCx9H3usuYsshGhHdEAYBwnjIAn/exq+dNBubrNoEWsZyW5Gsnu3NjtAUBCGhsmQIbU7uVf/h0saI/ZDfqYRQM1Befm3IseOGR+sO7cUsXWr1hAZxB4W8TyHCOFw4GheXnAJt+MZsHEj3HFH4z8iu7pqkxcJIUQ1X1/Tzh3z52sd3T79FG65hUTieJ/pjCUZZ8o5cgSWLNFuvHnNNbUbHdIYsT/yzYgAag7Kykrt99SkJG2EyndrCxiZmwiffsqU/xTRgxFMYC29nU/BuHHwv29oN5e4/Hva7t21SYkamgtAZlEUQlzJ3HPHpEkwaRJ+J08y/cMPmb5qJoVZeSRzK2uZQLIuluCqkzjtuQDXXw86HQkJkJOjbS6NEfshQ3vbOaW0G+O++ab2M8zlHHWVvKZ7illVb9QsvPFGiIvTeq116tSyhRVCiIZUVWm/I//zn5CUxMXCMvLwpRu/Qa9enBj7ED3fftoQ3qWLNtXRbbeBt3cD+xUWM/X6LY2Rdm7PHrjuuprnOhSxfMVd/Ivb+TdXk6/d5zsuDiZOlG8zhBCtQ1mZNu18YqLW476khGy68Vee5P908eSrjoZQJycYORKeflr7oldYjzRGhJHycti6Vfv5xdMTlr5cDj/+iNr0NaFvTMO37BTfM4Iw9rGfcK3X1/jxcNddEBxs6+ILIYTliothwwZYswY2bWJ18V1M5UP6kImrQznpVdcC8Nl757lnhvYVSU6ONmS5b19bFrz1k8ZIW9LIHXDr639RUgKbN8O//gX//nfN9Ok+zoXkuPTAuVi7X3cVOjY5xBJb9W+GdM/l5+3lEBjYHJkIIYRtXbzIxwlH+NPSgUS7fM835VEcpS9rmcDDvIPHwD4wZgyLzswgYXUfQkNrRuaEh9dzLywLz9HtganXb+nAau9MuANuXXexnDMH3l5eRUlpzYApP3KYwFruvJSEw6VC6NwZRo/GISaGCt04uA+cAvxA2iFCiLbK1RWn6wYCUDH8RvjLLvqtX8/TGzfCngtaz/19+zhDN5x4iIMHnTl4EBYtgh49FOPH65gwAW644Y9++xaeo4UxGdpr7+q5A65RyMWrWLlCUXr0FHz0EUyfjn7F25SUOtCD4/yZ1/iBG/jNsQfvjFjDLYtH4bhnN5w+rU2fet99VLh2ABqf8EwIIVq7mqG9Om2UzUsvQWoq5ObCJ59AfDxvdVnMGTrzTyYzgSTcKOHECR1vvgm3jymjYvtP2nSueXmoRs7Rcqfhxsmlp5U6RVfWMZ4k7uQ/RFG10JGrF45jHF8CMINAJrCSweFV6EZEwcintR5aHh517q+ueUaEEKItqneekc6dtc76cXGgFB3T05n89ddM3rqSku8fYXPRUNYygavKitGPeBTc3VH9QxnCbvqSyQTWcivJeGKN25+3L9JnpBlUVcHcuZCZ2XhsY9S58+i2fQfABa7iEP0pxJMijN8HL84TQgZdvC9CJ1/tN8qrrwZnF5NeJztbG+IbHQ3ffNP0cgshhL3asKFmOO/IkSZupJTW8S4vT3uczYPycgrxYAu3GMIcqKQTv3M1eXhQhDfncacURt7c5PHDPj7wyitam6m1kD4jNrR7Nyxdaq29eQN3NhpVgDc/MQzOoz2OWvZqfn6WbSeEEK2Fv7/29/x5WLvW1K10aOdjb6D+ITZVOJKLP7n4G6/Yan456zJgAMyaZZ192RNpjDSDwkLtb9eu2qzF1aob1pWV2pcWlJdz/ujvvPKPThSW1v0NxmB2M4MPAG3Uy3fcjD85BJKNF4U1gc8+1+TOUc7OcPvtTdqFEELYvcGDITlZ63vaZCdPwis1tw4/jT/7GcBvdCMHf8aykUGkAZBOf97CuCXh5XqRLp0q8OvmTOQNLvTuU9dwHW1Syh9+gKI2+gtQ+2uMtMAQrJIS7a+7u9b4yDhQQcbeMjKOOVNY6sJ9XbfxkX4aZGVRoRxIoBiAbmQTQgYhjr8Q0rWIkAHOXNv7Ip3+9r5h3w/zXt0veteDMFh6agshRGN0Ohg71ko725MHr7zfeNzUqez95Rcq9qzmcGl3Mgghhy4UXHSlIBsOZ8PUfY8QP2g/9O/PD/pontw8mpAwZ4IHueHhoTVSioutVG47G47cvhojVh6CdfEi/PILZGSA3rmK8RH/hcxMir+sBEZx9Cg88wxob7P2VjtSQclv+cCvADhd7c3uXg/TM9IPj4gQbbbT4JE1t8/dswf+Nr+OVxdCCNFqzJxJ+ODBvA3ajGp793I+JZEjO/LIOFjJ4dyODC3ZAjt+gR072I8TP3M3Px8BvqjZzatLqkj6ZzFvJeRxy2R/cHPjwgXtG3cvLxPLYofDkdtXY8SEYbKGIVh1VMCHqxXpu4q1bzkyncnK60CV0kZHD9X9zHg1FIAK/gSMwoNCbuMr7duODqcICaqi73Ve6MOugf7fwbXXQufOhNU5i84fqu9i2diHRu6AK4QQLc+Sc7S/P8TE4B0TQyQQCdr2R2Lg0CFIT2d8ag5d9s3kcI4XGSqYLdzMabpSpRw48psH7g/GwEMp0K0bn7o/zowjTxLgWURwz4uE9Hck+HoPgsOcCQmBgIArJmtr4rWwObSvxkgDFJCDPxmEkPF6ORm5v+Bccp7XQ1fC8eNw/Dgv/LKJ46on0MGwXUfyCSGDCLVLmwGnVy8u6odAOowMO8snfwuAa6Mt7/4sd8AVQgj7Za1ztKsrDByoPYCu/DF0oawMjhzhlVfO8txnXZnU/Uce0H/MwNzjUKggO5uTaH0D/lvowX/3e/DdfuDTml1vvXkRIyJLoWdP9leFcizLgWCC6UsmztjHrYvbdWPkDR7nI/7Eb3QlHx/K0WsrPtL+uFGC2hEMaPdm6cQZvDhPR9dSfDwr8LnaAXdfd3Q+ASjvKTzhOQscHNm3T9veNaQXjOjV9IJ27y6NDSGEsFfNeY7W62HAAFwjgM9gr/twNowZzgb1d7hYCufOw/nzPJS3k3N5FeSfdyC/2IVzVd7k05ECvPn4Oz/WfVcClLAdZ1K5HsjAgUq8KKAj5xjGj7zEfHpyonnyaES7boys4R5SGVLv+lLceZMnaq+4+MfjTMP7l19OhBBCWEOnTtrfw4e1hzbU2P2PR0CD2/6DGXUur8KRc/hwDh9+pQ8zWS6NEVuI50O6c5IyXPAlDx/ycaISHphWMxDdQq6uMG2alQoqhBCiXfuf/6mZb63JTp9GrVpJER6c5Wry8GUQaQTwXyvs3DLtawbWPXvguusaj0tN1QaiCyGEEG1NC14LTb1+y43yhBBCCGFT7asxUj0EqyEyTFYIIURbZofXwvbVZ0SGyQohhGjv7PBa2L4aIyDDZIUQQgg7uxa2r59phBBCCGF3pDEihBBCCJuSxogQQgghbMqixsjy5cvp2bMnrq6uREZGsmvXrgbjP//8c4KDg3F1dSUsLIzk5GSLCiuEEEKItsfsxshnn33G7NmzWbBgAXv27GHgwIGMGTOGM2fqnhv9xx9/JC4ujmnTppGWlsb48eMZP348Bw8ebHLhhRBCCNH6mT0Da2RkJNdffz1///vfAaiqqiIwMJDHHnuMuXPn1oqfOHEixcXFfPXVV4ZlQ4cOJTw8nHfffdek17TaDKxCCCGEaDHNMgNreXk5qampREdH1+zAwYHo6GhSUlLq3CYlJcUoHmDMmDH1xgOUlZVRWFho9BBCCCFE22RWYyQvL4/Kykr8/PyMlvv5+ZGTk1PnNjk5OWbFAyxevBgvLy/DIzAw0JxiCiGEEKIVscvRNPPmzaOgoMDwyM7OtnWRhBBCCNFMzJqB1dfXF0dHR3Jzc42W5+bm4u/vX+c2/v7+ZsUD6PV69Hq94Xl1txb5uUYIIYRoPaqv2411TzWrMeLi4sJ1113Hli1bGD9+PKB1YN2yZQszZ86sc5thw4axZcsWnnjiCcOyb775hmHDhpn8ukVFRQDyc40QQgjRChUVFeHl5VXverPvTTN79mzi4+MZMmQIERERvPHGGxQXFzN16lQA7r//frp27crixYsBePzxx4mKiuKvf/0rsbGxJCYmsnv3bt5//32TXzMgIIDs7Gw8PDzQ6XTmFrlehYWFBAYGkp2d3WZH6bT1HCW/1q+t5yj5tX5tPcfmzE8pRVFREQEBAQ3Gmd0YmThxIr///jsJCQnk5OQQHh7Opk2bDJ1UT548iYNDTVeU4cOH88knn/D888/z7LPP0q9fP9atW0doaKjJr+ng4EC3bt3MLarJPD092+QH7HJtPUfJr/Vr6zlKfq1fW8+xufJr6BuRahbdtXfmzJn1/iyzbdu2Wsvuvvtu7r77bkteSgghhBBtnF2OphFCCCFE++H4wgsvvGDrQtiSo6MjI0aMwMnJoi+JWoW2nqPk1/q19Rwlv9avredo6/zMng5eCCGEEMKa5GcaIYQQQtiUNEaEEEIIYVPSGBFCCCGETUljRAghhBA21eYbIy+//DLDhw/H3d0db29vk7ZRSpGQkECXLl1wc3MjOjqao0ePGsXk5+dz33334enpibe3N9OmTePChQvNkUKDzC3H8ePH0el0dT4+//xzQ1xd6xMTE1siJSOWvM8jRoyoVfaHHnrIKObkyZPExsbi7u5O586dmTNnDhUVFc2ZSr3MzTE/P5/HHnuMoKAg3Nzc6N69O7NmzaKgoMAozlZ1uHz5cnr27ImrqyuRkZHs2rWrwfjPP/+c4OBgXF1dCQsLIzk52Wi9KcdjSzMnxw8++IAbb7yRjh070rFjR6Kjo2vFT5kypVZdxcTENHca9TInv9WrV9cqu6urq1GMvdWhOfnVdT7R6XTExsYaYuyp/r7//ntuv/12AgIC0Ol0rFu3rtFttm3bxuDBg9Hr9fTt25fVq1fXijH3uDabauMSEhLUa6+9pmbPnq28vLxM2mbJkiXKy8tLrVu3Tu3bt0/dcccdqlevXqq0tNQQExMTowYOHKh++ukn9cMPP6i+ffuquLi45kqjXuaWo6KiQp0+fdro8eKLL6oOHTqooqIiQxygVq1aZRR3ef4txZL3OSoqSk2fPt2o7AUFBYb1FRUVKjQ0VEVHR6u0tDSVnJysfH191bx585o7nTqZm+OBAwfUnXfeqb788kuVmZmptmzZovr166fuuusuozhb1GFiYqJycXFRK1euVOnp6Wr69OnK29tb5ebm1hm/Y8cO5ejoqP7yl7+oQ4cOqeeff145OzurAwcOGGJMOR5bkrk53nvvvWr58uUqLS1NZWRkqClTpigvLy916tQpQ0x8fLyKiYkxqqv8/PyWSsmIufmtWrVKeXp6GpU9JyfHKMae6tDc/M6ePWuU28GDB5Wjo6NatWqVIcae6i85OVk999xzKikpSQFq7dq1Dcb/+uuvyt3dXc2ePVsdOnRIvfXWW8rR0VFt2rTJEGPue2aJNt8YqbZq1SqTGiNVVVXK399fLV261LDs/PnzSq/Xq08//VQppdShQ4cUoH7++WdDzMaNG5VOp1O//fab9QtfD2uVIzw8XD3wwANGy0z5EDc3S/OLiopSjz/+eL3rk5OTlYODg9EJ85133lGenp6qrKzMOoU3kbXqcM2aNcrFxUVdunTJsMwWdRgREaEeffRRw/PKykoVEBCgFi9eXGf8Pffco2JjY42WRUZGqgcffFApZdrx2NLMzfFKFRUVysPDQ3344YeGZfHx8WrcuHFWL6slzM2vsXOrvdVhU+vv9ddfVx4eHurChQuGZfZUf5cz5Rzw9NNPq/79+xstmzhxohozZozheVPfM1O0+Z9pzJWVlUVOTg7R0dGGZV5eXkRGRpKSkgJASkoK3t7eDBkyxBATHR2Ng4MDO3fubLGyWqMcqamp7N27l2nTptVa9+ijj+Lr60tERAQrV65s9BbQ1taU/D7++GN8fX0JDQ1l3rx5lJSUGO03LCzMcD8lgDFjxlBYWEh6err1E2mAtT5LBQUFeHp61pqwqCXrsLy8nNTUVKNjx8HBgejoaMOxc6WUlBSjeNDqojrelOOxJVmS45VKSkq4dOkSPj4+Rsu3bdtG586dCQoK4uGHH+bs2bNWLbspLM3vwoUL9OjRg8DAQMaNG2d0HNlTHVqj/lasWMGkSZO46qqrjJbbQ/1ZorFj0BrvmSna5lRyTZCTkwNgdKGqfl69Licnh86dOxutd3JywsfHxxDTEqxRjhUrVhASEsLw4cONli9cuJCbb74Zd3d3Nm/ezCOPPMKFCxeYNWuW1crfGEvzu/fee+nRowcBAQHs37+fZ555hiNHjpCUlGTYb131W72uJVmjDvPy8li0aBEzZswwWt7SdZiXl0dlZWWd7+3hw4fr3Ka+urj8WKteVl9MS7Ikxys988wzBAQEGJ3cY2JiuPPOO+nVqxfHjh3j2WefZezYsaSkpODo6GjVHBpiSX5BQUGsXLmSAQMGUFBQwLJlyxg+fDjp6el069bNruqwqfW3a9cuDh48yIoVK4yW20v9WaK+Y7CwsJDS0lLOnTvX5M+8KVplY2Tu3Lm8+uqrDcZkZGQQHBzcQiWyLlPza6rS0lI++eQT5s+fX2vd5csGDRpEcXExS5cutcqFrLnzu/yiHBYWRpcuXRg1ahTHjh2jT58+Fu/XHC1Vh4WFhcTGxnLttddy5Z0dmrMOhWWWLFlCYmIi27ZtM+rkOWnSJMO/w8LCGDBgAH369GHbtm2MGjXKFkU12bBhwxg2bJjh+fDhwwkJCeG9995j0aJFNiyZ9a1YsYKwsDAiIiKMlrfm+rMXrbIx8uSTTzJlypQGY3r37m3Rvv39/QHIzc2lS5cuhuW5ubmEh4cbYs6cOWO0XUVFBfn5+Ybtm8LU/Jpaji+++IKSkhLuv//+RmMjIyNZtGgRZWVl6PX6RuMb0lL5VYuMjAQgMzOTPn364O/vX6sneG5uLoBV6g9aJseioiJiYmLw8PBg7dq1ODs7NxhvzTqsi6+vL46Ojob3slpubm69ufj7+zcYb8rx2JIsybHasmXLWLJkCd9++y0DBgxoMLZ37974+vqSmZnZohezpuRXzdnZmUGDBpGZmQnYVx02Jb/i4mISExNZuHBho69jq/qzRH3HoKenJ25ubjg6Ojb5M2ESq/U+sXPmdmBdtmyZYVlBQUGdHVh3795tiPn6669t1oHV0nJERUXVGoFRn5deekl17NjR4rJawlrv8/bt2xWg9u3bp5Sq6cB6eU/w9957T3l6eqqLFy9aLwETWJpjQUGBGjp0qIqKilLFxcUmvVZL1GFERISaOXOm4XllZaXq2rVrgx1Yb7vtNqNlw4YNq9WBtaHjsaWZm6NSSr366qvK09NTpaSkmPQa2dnZSqfTqfXr1ze5vOayJL/LVVRUqKCgIPXnP/9ZKWV/dWhpfqtWrVJ6vV7l5eU1+hq2rL/LYWIH1tDQUKNlcXFxtTqwNuUzYVJZrbYnO3XixAmVlpZmGL6alpam0tLSjIaxBgUFqaSkJMPzJUuWKG9vb7V+/Xq1f/9+NW7cuDqH9g4aNEjt3LlTbd++XfXr189mQ3sbKsepU6dUUFCQ2rlzp9F2R48eVTqdTm3cuLHWPr/88kv1wQcfqAMHDqijR4+qt99+W7m7u6uEhIRmz+dK5uaXmZmpFi5cqHbv3q2ysrLU+vXrVe/evdVNN91k2KZ6aO/o0aPV3r171aZNm1SnTp1sOrTXnBwLCgpUZGTybsvwAAACzElEQVSkCgsLU5mZmUbDCSsqKpRStqvDxMREpdfr1erVq9WhQ4fUjBkzlLe3t2Hk0uTJk9XcuXMN8Tt27FBOTk5q2bJlKiMjQy1YsKDOob2NHY8tydwclyxZolxcXNQXX3xhVFfV56CioiL11FNPqZSUFJWVlaW+/fZbNXjwYNWvX78Wbxxbkt+LL76ovv76a3Xs2DGVmpqqJk2apFxdXVV6erohxp7q0Nz8qt1www1q4sSJtZbbW/0VFRUZrnOAeu2111RaWpo6ceKEUkqpuXPnqsmTJxviq4f2zpkzR2VkZKjly5fXObS3offMGtp8YyQ+Pl4BtR5bt241xPDHfAzVqqqq1Pz585Wfn5/S6/Vq1KhR6siRI0b7PXv2rIqLi1MdOnRQnp6eaurUqUYNnJbSWDmysrJq5auUUvPmzVOBgYGqsrKy1j43btyowsPDVYcOHdRVV12lBg4cqN599906Y5ubufmdPHlS3XTTTcrHx0fp9XrVt29fNWfOHKN5RpRS6vjx42rs2LHKzc1N+fr6qieffNJoWGxLMjfHrVu31vmZBlRWVpZSyrZ1+NZbb6nu3bsrFxcXFRERoX766SfDuqioKBUfH28Uv2bNGnXNNdcoFxcX1b9/f7Vhwwaj9aYcjy3NnBx79OhRZ10tWLBAKaVUSUmJGj16tOrUqZNydnZWPXr0UNOnT7fqid5c5uT3xBNPGGL9/PzUrbfeqvbs2WO0P3urQ3M/o4cPH1aA2rx5c6192Vv91Xd+qM4pPj5eRUVF1domPDxcubi4qN69extdD6s19J5Zg06pFh6vKYQQQghxGZlnRAghhBA2JY0RIYQQQtiUNEaEEEIIYVPSGBFCCCGETUljRAghhBA2JY0RIYQQQtiUNEaEEEIIYVPSGBFCCCGETUljRAghhBA2JY0RIYQQQtiUNEaEEEIIYVPSGBFCCCGETf0/1MZrY59Sl6UAAAAASUVORK5CYII=",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "1-element Array{PyCall.PyObject,1}:\n",
       " PyObject <matplotlib.lines.Line2D object at 0x7f0b034827c0>"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xx = -1:0.001:1\n",
    "yy = f.(xx)\n",
    "yy1 = itp1.(xx);\n",
    "yy2 = itp2.(xx);\n",
    "plot(x, y, \"rs\")\n",
    "plot(xx, yy, \"r-\")\n",
    "plot(xx, yy1, \"b-\")\n",
    "plot(xx, yy2, \"b--\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "1-element Array{PyCall.PyObject,1}:\n",
       " PyObject <matplotlib.lines.Line2D object at 0x7f0b055168b0>"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "itp3 = CubicSplineInterpolation((x,), y; bc=Line(OnGrid()));\n",
    "\n",
    "yy3 = itp3.(xx)\n",
    "\n",
    "plot(x, y, \"rs\")\n",
    "plot(xx, yy, \"r-\")\n",
    "plot(xx, yy3, \"b:\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "compare (generic function with 1 method)"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function compare(h, x)\n",
    "    xp = -1:h:1\n",
    "    yp = f.(xp)\n",
    "    \n",
    "    \n",
    "    itp1 =  interpolate((xp,),  yp, Gridded(Constant()));\n",
    "    itp2 =  interpolate((xp,),  yp, Gridded(Linear()));\n",
    "    itp3 = CubicSplineInterpolation((xp,), yp, bc=Flat(OnGrid()));\n",
    "    fx = f(x)\n",
    "    return itp1(x)-fx, itp2(x)-fx, itp3(x)-fx\n",
    "end\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [],
   "source": [
    "hstep = [1.0, 0.5, 0.4, 0.2, 0.1, 0.05, 0.02, 0.01, 0.001]\n",
    "nn = 2.0 ./ hstep\n",
    "erra = [compare(h, -1+h/4) for h in hstep]\n",
    "errb = [compare(h, h/4) for h in hstep];\n",
    "errc = [compare(h, -0.9905) for h in hstep];\n",
    "errd = [compare(h, 0.0005) for h in hstep];\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [],
   "source": [
    "ea1 = [abs(e[1]) for e in erra]\n",
    "ea2 = [abs(e[2]) for e in erra]\n",
    "ea3 = [abs(e[3]) for e in erra]\n",
    "\n",
    "eb1 = [abs(e[1]) for e in errb]\n",
    "eb2 = [abs(e[2]) for e in errb]\n",
    "eb3 = [abs(e[3]) for e in errb];\n",
    "\n",
    "ec1 = [abs(e[1]) for e in errc]\n",
    "ec2 = [abs(e[2]) for e in errc]\n",
    "ec3 = [abs(e[3]) for e in errc];\n",
    "\n",
    "ed1 = [abs(e[1]) for e in errd]\n",
    "ed2 = [abs(e[2]) for e in errd]\n",
    "ed3 = [abs(e[3]) for e in errd];"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "1-element Array{PyCall.PyObject,1}:\n",
       " PyObject <matplotlib.lines.Line2D object at 0x7f0b03231d30>"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "loglog(nn, ea1, \"rs-\")\n",
    "loglog(nn, ea2, \"bo-\")\n",
    "loglog(nn, ea3, \"g^-\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "1-element Array{PyCall.PyObject,1}:\n",
       " PyObject <matplotlib.lines.Line2D object at 0x7f0b055b1d00>"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "loglog(nn, eb1, \"rs-\")\n",
    "loglog(nn, eb2, \"bo-\")\n",
    "loglog(nn, eb3, \"g^-\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Problema 4\n",
    "\n",
    "Crie funções para fazer os seguintes problemas de mínimos quadrados:\n",
    " * $y = a_0 x^ {a_1}$\n",
    " * $y = a_0 \\exp \\left( a_1 \\cdot x\\right)$\n",
    " * Polinômio genérico de ordem n\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### $y = a_0 x^ a_1$\n",
    "\n",
    "Este é um problema não linear! Então precisamos transformar isso em um problema linear.\n",
    "\n",
    "Tirando o log dos dois lados temos uma expressão do tipo:\n",
    "\n",
    "$$\n",
    "\\log y = \\log a_0 + a_1 \\cdot \\log x\n",
    "$$\n",
    "\n",
    "Agora é fazer o ajuste disso."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "powerfit (generic function with 1 method)"
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function powerfit(x, y)\n",
    "    lnx = log.(x)\n",
    "    lny = log.(y)\n",
    "    fit = linfit(lnx, lny)\n",
    "    return [exp(fit[1]), fit[2]]\n",
    "end\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = 1.0:0.2:5.0\n",
    "y = 1.1 .* x .^ (-2.2);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2-element Array{Float64,1}:\n",
       "  1.1000000000000025\n",
       " -2.200000000000002"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "powerfit(x, y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### $y = a_0 \\exp \\left(a_1 \\cdot x\\right)$\n",
    "\n",
    "Este problema também é não linear! Então precisamos transformar isso em um problema linear.\n",
    "\n",
    "Tirando o log dos dois lados temos uma expressão do tipo:\n",
    "\n",
    "$$\n",
    "\\log y = \\log a_0 + a_1 \\cdot x\n",
    "$$\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "expfit (generic function with 1 method)"
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function expfit(x, y)\n",
    "    lny = log.(y)\n",
    "    fit = linfit(x, lny)\n",
    "    return [exp(fit[1]), fit[2]]\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = 1.0:0.2:5.0\n",
    "y = 1.1 .* exp.(2.2 .* x);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2-element Array{Float64,1}:\n",
       " 1.1000000000000072\n",
       " 2.199999999999998"
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "expfit(x, y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Ajuste polinomial\n",
    "\n",
    "Agora queremos ajustar os pontos com um polinômio de grau $n$:\n",
    "\n",
    "$$\n",
    "y = a_0 + a_1\\cdot x + a_2\\cdot x^2 + \\cdots + a_n\\cdot x^n\n",
    "$$\n",
    "\n",
    "Usando o método dos mínimo quadrados, chegamos à seguinte equação:\n",
    "\n",
    "$$\n",
    "\\left(\n",
    "\\begin{matrix}\n",
    "\\sum_{i=1}^Q 1 & \\sum_{i=1}^Q x_i & \\cdots & \\sum_{i=1}^Q x_i^n \\\\\n",
    "\\sum_{i=1}^Q x_i & \\sum_{i=1}^Q x_i^2 &  \\cdots & \\sum_{i=1}^Q x_i^{n+1}\\\\\n",
    "\\vdots & \\vdots & \\ddots & \\vdots \\\\\n",
    "\\sum_{i=1}^Q x_i^n & \\sum_{i=1}^Q x_i^{n+1} &  \\cdots & \\sum_{i=1}^Q x_i^{2n} \\\\\n",
    "\\end{matrix}\\right)\n",
    "\\cdot\n",
    "\\left(\\begin{matrix} a_0 \\\\ a_1 \\\\ \\vdots \\\\ a_n \\end{matrix}\\right)\n",
    "= \n",
    "\\left(\\begin{matrix} \\sum_{i=1}^Q y_i \\\\ \\sum_{i=1}^Q y_i x_i \\\\  \\vdots \\\\ \\sum_{i=1}^Q y_i x_i^n\\end{matrix}\\right)\n",
    "$$\n",
    " \n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "polyfit (generic function with 2 methods)"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function polyfit(x, y, n, var=:x)\n",
    "    A = zeros(n+1, n+1)\n",
    "    b = zeros(n+1)\n",
    "    S = zeros(2n + 1)\n",
    "    \n",
    "    npts = length(x)\n",
    "    \n",
    "    S[1] = npts\n",
    "    \n",
    "    for i in 1:2n\n",
    "        s = 0.0\n",
    "        for k in 1:npts\n",
    "            s += x[k]^i\n",
    "        end\n",
    "        S[i+1] = s\n",
    "    end\n",
    "    \n",
    "    b[1] = sum(y)\n",
    "    \n",
    "    for i in 1:n\n",
    "        s = 0.0\n",
    "        for k in 1:npts\n",
    "            s += y[k]*x[k]^i\n",
    "        end\n",
    "        b[i+1] = s\n",
    "    end\n",
    "    \n",
    "    for j in 0:n\n",
    "        for i in 0:n\n",
    "            A[i+1,j+1] = S[i+j+1]\n",
    "        end\n",
    "    end\n",
    "    \n",
    "    return Polynomial(A\\b, var)\n",
    "    \n",
    "end\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "f4 (generic function with 1 method)"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f4(x) = 1.0 + x + x^2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = 0:0.2:10\n",
    "y = f4.(x);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "1.00000000000002 &#43; 0.9999999999999692&#8729;x &#43; 1.0000000000000036&#8729;x<sup>2</sup>"
      ],
      "text/latex": [
       "$1.00000000000002 + 0.9999999999999692\\cdot x + 1.0000000000000036\\cdot x^{2}$"
      ],
      "text/plain": [
       "Polynomial(1.00000000000002 + 0.9999999999999692*x + 1.0000000000000036*x^2)"
      ]
     },
     "execution_count": 78,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "polyfit(x, y, 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "1.0000000000002023 &#43; 0.9999999999997943&#8729;x &#43; 1.000000000000043&#8729;x<sup>2</sup> &#45; 2.4828127570366473e-15&#8729;x<sup>3</sup>"
      ],
      "text/latex": [
       "$1.0000000000002023 + 0.9999999999997943\\cdot x + 1.000000000000043\\cdot x^{2} - 2.4828127570366473e-15\\cdot x^{3}$"
      ],
      "text/plain": [
       "Polynomial(1.0000000000002023 + 0.9999999999997943*x + 1.000000000000043*x^2 - 2.4828127570366473e-15*x^3)"
      ]
     },
     "execution_count": 79,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "polyfit(x, y, 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "0.9999999999999191 &#43; 1.000000000000223&#8729;x &#43; 0.9999999999998992&#8729;x<sup>2</sup> &#43; 1.4440592906252947e-14&#8729;x<sup>3</sup> &#45; 6.433927532500735e-16&#8729;x<sup>4</sup>"
      ],
      "text/latex": [
       "$0.9999999999999191 + 1.000000000000223\\cdot x + 0.9999999999998992\\cdot x^{2} + 1.4440592906252947e-14\\cdot x^{3} - 6.433927532500735e-16\\cdot x^{4}$"
      ],
      "text/plain": [
       "Polynomial(0.9999999999999191 + 1.000000000000223*x + 0.9999999999998992*x^2 + 1.4440592906252947e-14*x^3 - 6.433927532500735e-16*x^4)"
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "polyfit(x, y, 4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "1.0000000000459608 &#43; 0.9999999998481588&#8729;x &#43; 1.0000000001072407&#8729;x<sup>2</sup> &#45; 2.840956965638937e-11&#8729;x<sup>3</sup> &#43; 3.16162639549699e-12&#8729;x<sup>4</sup> &#45; 1.2494371086308562e-13&#8729;x<sup>5</sup>"
      ],
      "text/latex": [
       "$1.0000000000459608 + 0.9999999998481588\\cdot x + 1.0000000001072407\\cdot x^{2} - 2.840956965638937e-11\\cdot x^{3} + 3.16162639549699e-12\\cdot x^{4} - 1.2494371086308562e-13\\cdot x^{5}$"
      ],
      "text/plain": [
       "Polynomial(1.0000000000459608 + 0.9999999998481588*x + 1.0000000001072407*x^2 - 2.840956965638937e-11*x^3 + 3.16162639549699e-12*x^4 - 1.2494371086308562e-13*x^5)"
      ]
     },
     "execution_count": 81,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "polyfit(x, y, 5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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