{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Funciones Generales"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Requirement already satisfied: matplotlib in c:\\users\\lord_fulgi\\appdata\\local\\programs\\python\\python312\\lib\\site-packages (3.8.4)\n",
      "Requirement already satisfied: contourpy>=1.0.1 in c:\\users\\lord_fulgi\\appdata\\local\\programs\\python\\python312\\lib\\site-packages (from matplotlib) (1.2.1)\n",
      "Requirement already satisfied: cycler>=0.10 in c:\\users\\lord_fulgi\\appdata\\local\\programs\\python\\python312\\lib\\site-packages (from matplotlib) (0.12.1)\n",
      "Requirement already satisfied: fonttools>=4.22.0 in c:\\users\\lord_fulgi\\appdata\\local\\programs\\python\\python312\\lib\\site-packages (from matplotlib) (4.51.0)\n",
      "Requirement already satisfied: kiwisolver>=1.3.1 in c:\\users\\lord_fulgi\\appdata\\local\\programs\\python\\python312\\lib\\site-packages (from matplotlib) (1.4.5)\n",
      "Requirement already satisfied: numpy>=1.21 in c:\\users\\lord_fulgi\\appdata\\local\\programs\\python\\python312\\lib\\site-packages (from matplotlib) (1.26.4)\n",
      "Requirement already satisfied: packaging>=20.0 in c:\\users\\lord_fulgi\\appdata\\roaming\\python\\python312\\site-packages (from matplotlib) (24.0)\n",
      "Requirement already satisfied: pillow>=8 in c:\\users\\lord_fulgi\\appdata\\local\\programs\\python\\python312\\lib\\site-packages (from matplotlib) (10.3.0)\n",
      "Requirement already satisfied: pyparsing>=2.3.1 in c:\\users\\lord_fulgi\\appdata\\local\\programs\\python\\python312\\lib\\site-packages (from matplotlib) (3.1.2)\n",
      "Requirement already satisfied: python-dateutil>=2.7 in c:\\users\\lord_fulgi\\appdata\\roaming\\python\\python312\\site-packages (from matplotlib) (2.9.0.post0)\n",
      "Requirement already satisfied: six>=1.5 in c:\\users\\lord_fulgi\\appdata\\roaming\\python\\python312\\site-packages (from python-dateutil>=2.7->matplotlib) (1.16.0)\n",
      "Note: you may need to restart the kernel to use updated packages.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n",
      "[notice] A new release of pip is available: 24.0 -> 24.2\n",
      "[notice] To update, run: python.exe -m pip install --upgrade pip\n"
     ]
    }
   ],
   "source": [
    "pip install matplotlib"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Note: you may need to restart the kernel to use updated packages.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "ERROR: Could not find a version that satisfies the requirement math (from versions: none)\n",
      "ERROR: No matching distribution found for math\n",
      "\n",
      "[notice] A new release of pip is available: 24.0 -> 24.2\n",
      "[notice] To update, run: python.exe -m pip install --upgrade pip\n"
     ]
    }
   ],
   "source": [
    "pip install math"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Requirement already satisfied: numpy in c:\\users\\lord_fulgi\\appdata\\local\\programs\\python\\python312\\lib\\site-packages (1.26.4)\n",
      "Note: you may need to restart the kernel to use updated packages.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n",
      "[notice] A new release of pip is available: 24.0 -> 24.2\n",
      "[notice] To update, run: python.exe -m pip install --upgrade pip\n"
     ]
    }
   ],
   "source": [
    "pip install numpy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as nmp\n",
    "import math\n",
    "\n",
    "def chequeo(x: list[float], y: list[float]) -> tuple[float]:\n",
    "    list_size_bool = f\"Tamaño igual de listas: {len(x)==len(y)}\"\n",
    "    x_info, y_info = f\"Tamaño x: {len(x)}\", f\"Tamaño y: {len(y)}\"\n",
    "    return (list_size_bool, x_info, y_info)\n",
    "\n",
    "def min_cuadrados_sin_termino_indep(x: list[float], y: list[float]) -> tuple[float]:\n",
    "    xy = [i*j for i,j in list(zip(x, y))]\n",
    "    x2, y2 = [i*i for i in x], [j*j for j in y]\n",
    "    sum_xy, sum_x2, sum_y2 = sum(xy), sum(x2), sum(y2)\n",
    "    # Pendiente\n",
    "    n = sum_xy / sum_x2\n",
    "    # Desviacion Tipica\n",
    "    num = len(x) - 1\n",
    "    stdv = math.sqrt(sum([(j - n*i)**2 for i,j in zip(x, y)]) / num)\n",
    "    # Incertidumbre de la pendiente (n)\n",
    "    Sn = stdv / math.sqrt(sum_x2)\n",
    "    # Coeficiente de Regresion\n",
    "    r = sum_xy / math.sqrt(sum_x2 * sum_y2)\n",
    "    return (n, stdv, Sn, r)\n",
    "\n",
    "def min_cuadrados_con_termino_indep(x: list[float], y: list[float]) -> tuple [float]:\n",
    "    xy = [i*j for i,j in list(zip(x,y))]\n",
    "    x2, y2 = [i*i for i in x], [j*j for j in  y]\n",
    "    sum_x, sum_y, sum_xy, sum_x2, sum_y2 = sum(x), sum(y), sum(xy), sum(x2), sum(y2)\n",
    "    # Pendiente y Término Independiente\n",
    "    num = len(x)\n",
    "    n = (num*sum_xy-sum_x*sum_y)/(num*sum_x2-sum_x**2)\n",
    "    a =(sum_y*sum_x2-sum_x*sum_xy)/(num*sum_x2-sum_x**2)\n",
    "    # Desviacion Tipica\n",
    "    numero = len(x) -2\n",
    "    stdv = math.sqrt(sum([(j - n*i)**2 for i,j in zip(x,y)]) / numero)\n",
    "    # Incertidumbre de la pendiente (n)\n",
    "    Sn = stdv * math.sqrt(num/(num*sum_x2-sum_x**2))\n",
    "    # Incertidumbre del Término Independiente\n",
    "    Sa = stdv * math.sqrt(sum_x2/(num*sum_x2-sum_x**2))\n",
    "    # Coeficiente de Regresion\n",
    "    r = (num*sum_xy-sum_x*sum_y)/math.sqrt((num*sum_x2-sum_x**2)*(num*sum_y2-sum_y**2))\n",
    "    return (n, a, stdv, Sn, Sa, r)\n",
    "\n",
    "def generar_grafica_sin_termino_indep(x: list[float], y: list[float], \n",
    "                    x_lbl: str = \"X\", y_lbl: str = \"Y\", m_lbl: str = \"m\", \n",
    "                    xerr: list[float] = None, yerr: list[float] = None,\n",
    "                    n: float = 0):\n",
    "\n",
    "    # Regresión lineal mediante minimos cuadrados\n",
    "    m, stdv, Sn, r = min_cuadrados_sin_termino_indep(x, y)\n",
    "    \n",
    "    # Recta de regresion (y = m*x + n) con n = 0\n",
    "    recta_regresion = [m*i for i in x]\n",
    "\n",
    "    # Grafica\n",
    "    plt.clf()\n",
    "    \n",
    "    # plt.errorbar(x, y, xerr, yerr, fmt='x')\n",
    "    plot, = plt.plot(x, recta_regresion, color='red', linestyle='-')\n",
    "    points = plt.scatter(x, y)\n",
    "    \n",
    "    plt.xlabel(f\"{x_lbl}\")\n",
    "    plt.ylabel(f\"{y_lbl}\")\n",
    "    plt.legend([points, plot], [\"Valores Experimentales\", f\"{m_lbl} = {m:e}\"])\n",
    "    plt.title(f\"{y_lbl} frente a {x_lbl}\")\n",
    "    plt.grid()\n",
    "\n",
    "    plt.show()\n",
    "    print(f\"{m_lbl}:\\t{m:e}\")\n",
    "    print(f\"S({m_lbl}): {Sn}\")\n",
    "    print(f\"stdv:\\t{stdv}\")\n",
    "    print(f\"r:\\t{r}\")\n",
    "    return m, stdv, Sn, r\n",
    "\n",
    "def generar_grafica_con_termino_indep(x: list[float], y: list[float], \n",
    "                    x_lbl: str = \"X\", y_lbl: str = \"Y\", m_lbl: str = \"m\", \n",
    "                    xerr: list[float] = None, yerr: list[float] = None,\n",
    "                    n: float = 0):\n",
    "    \n",
    "    # Regresión lineal mediante minimos cuadrados\n",
    "    m, n, stdv, Sn, Sa, r = min_cuadrados_con_termino_indep(x, y)\n",
    "    \n",
    "    # Recta de regresion (y = m*x + n)\n",
    "    recta_regresion = [m*i + n for i in x]\n",
    "\n",
    "    # Grafica\n",
    "    plt.clf()\n",
    "    \n",
    "    # plt.errorbar(x, y, xerr, yerr, fmt='x')\n",
    "    plot, = plt.plot(x, recta_regresion, color='red', linestyle='-')\n",
    "    points = plt.scatter(x, y)\n",
    "    \n",
    "    plt.xlabel(f\"{x_lbl}\")\n",
    "    plt.ylabel(f\"{y_lbl}\")\n",
    "    plt.legend([points, plot], [\"Valores Experimentales\", f\"{m_lbl} = {m:e}\"])\n",
    "    plt.grid()\n",
    "\n",
    "    plt.show()\n",
    "    print(f\"{m_lbl}:\\t{m:e}\")   # Pendiente Recta\n",
    "    print(f\"S({m_lbl}): {Sn}\")  #Incertidumbre pendiente\n",
    "    print(f\"a:\\t{n}\")   # Termino Independiente\n",
    "    print(f\"S(a):\\t{Sa}\")   # Incertidumbre Termino Independiente\n",
    "    print(f\"stdv:\\t{stdv}\") # Desviacion Tipica\n",
    "    print(f\"r:\\t{r}\")\n",
    "    return m, n, stdv, Sn, Sa, r\n",
    "\n",
    "# Esta funcion es el protocolo de la diapositiva 19 de {https://cv.usc.es/pluginfile.php/2390439/mod_resource/content/1/an%C3%A1lisis%20incertidumbres.pdf}\n",
    "# Se añade sb que es la incertidumbre de tipo b de los valores en x (que es constante)\n",
    "\n",
    "def media_con_exclusion(sb, x: list[float]) -> tuple[float]:\n",
    "    n = len(x)\n",
    "    k = 2\n",
    "    # Calcular valor medio de la lista\n",
    "    media_x = sum(x)/n\n",
    "    # Calcular desviacion tipica\n",
    "    dist_media_x = [(i-media_x)**2 for i in x]\n",
    "    sa = math.sqrt(sum(dist_media_x)/(n-1))\n",
    "    # Quitar valores discordantes\n",
    "    for valor in x:\n",
    "        if valor >= (media_x-k*sa) and valor <= (media_x+k*sa):\n",
    "            pass\n",
    "        else:\n",
    "            x.remove(valor)\n",
    "    # Calcular la nueva media\n",
    "    media_x = sum(x)/n\n",
    "    # Calculamos la nueva desviacion tipica de la media\n",
    "    dist_media_x = [(i-media_x)**2 for i in x]\n",
    "    sa = math.sqrt(sum(dist_media_x)/(n-1))\n",
    "    sa_media = sa/math.sqrt(n)\n",
    "    # Incertidumbre Combinada\n",
    "    sc = math.sqrt(sa_media**2 + sb**2)\n",
    "    # Resultado final\n",
    "    phi = n - 1\n",
    "    return (media_x, sc, phi, x)\n",
    "\n",
    "def media_cuadrada(s1,s2):\n",
    "    return math.sqrt(s1**2 + s2**2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Óptica"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "paso = 5\n",
    "\n",
    "def incidencias(refraccion, paso):\n",
    "    return [i*paso for i in range(len(refraccion))]\n",
    "\n",
    "def rad_sin(grados: list[float]):\n",
    "    return [math.sin(math.radians(i)) for i in grados]\n",
    "\n",
    "def angulo_limite_n(angulo_limite):\n",
    "    return 1/math.sin(math.radians(angulo_limite))\n",
    "\n",
    "def incertidumbre_angulo_limite(angulo_limite, incertidumbre_angulo):\n",
    "    angulo_limite, incertidumbre_angulo = math.radians(angulo_limite), math.radians(incertidumbre_angulo)\n",
    "    s_final = (math.cos(angulo_limite)/(math.sin(angulo_limite)**2))*(incertidumbre_angulo)\n",
    "    return s_final"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Primera Parte"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "#No usar\n",
    "def incertidumbre_aire_medio(inc: list[float], re: list[float], si: float, sr: float) -> tuple[float]:\n",
    "    incid, refra, si, sr = [math.radians(j) for j in inc], [math.radians(k) for k in re], math.radians(si), math.radians(sr)\n",
    "    del incid[0]\n",
    "    del refra[0]\n",
    "    sn = [math.sqrt(((math.cos(i)/math.sin(r))**2)*(si**2)+((math.sin(i)*math.cos(r)/(math.sin(r)**2))**2)*(sr**2)) for i, r in zip(incid, refra)]\n",
    "    sn_final = sum(sn)/len(sn)\n",
    "    return sn_final"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Vidrio"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "$n_v$:\t1.504098e+00\n",
      "S($n_v$): 0.00148307236827431\n",
      "stdv:\t0.0028746968036500458\n",
      "r:\t0.9999917360841409\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(1.504098129747325,\n",
       " 0.0028746968036500458,\n",
       " 0.00148307236827431,\n",
       " 0.9999917360841409)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "refraccion = [0, 3.5, 6.5, 10, 13, 16.5, 19.5, 22.5, 25.5, 28, 30.5, 33, 35, 37, 38.5, 40, 41, 41.5]\n",
    "incidencia = incidencias(refraccion, paso)\n",
    "\n",
    "generar_grafica_sin_termino_indep(rad_sin(refraccion), rad_sin(incidencia), x_lbl = f\"$sen(\\\\alpha_r)$\", y_lbl = f\"$sen(\\\\alpha_i)$\", m_lbl = f\"$n_v$\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "$n_v$:\t1.505459e+00\n",
      "S($n_v$): 0.002033574241459756\n",
      "stdv:\t0.0023996925050404727\n",
      "r:\t0.9999927014360385\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(1.5054590313360128,\n",
       " 0.0023996925050404727,\n",
       " 0.002033574241459756,\n",
       " 0.9999927014360385)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "refraccion = [0, 7.5, 15.5, 23, 31, 39.5, 49, 59.5, 75]\n",
    "incidencia = incidencias(refraccion, paso)\n",
    "\n",
    "generar_grafica_sin_termino_indep(rad_sin(incidencia), rad_sin(refraccion), x_lbl = f\"$sen(\\\\alpha_i)$\", y_lbl = f\"$sen(\\\\alpha_r)$\", m_lbl = f\"$n_v$\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "$n_v$: 1.4944765498646086\n",
      "S($n_al$): 0.029039991676152257\n"
     ]
    }
   ],
   "source": [
    "angulo_limite = 42\n",
    "n_v = angulo_limite_n(angulo_limite)\n",
    "print(f\"$n_v$: {n_v}\")\n",
    "\n",
    "Sn = 0.002033574241459756\n",
    "print(f\"S($n_al$): {media_cuadrada(incertidumbre_angulo_limite(angulo_limite, 1), Sn)}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Agua"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "$n_a$:\t1.347200e+00\n",
      "S($n_a$): 0.0020849046928151068\n",
      "stdv:\t0.00451185199734164\n",
      "r:\t0.99997964298435\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(1.347199719371741,\n",
       " 0.00451185199734164,\n",
       " 0.0020849046928151068,\n",
       " 0.99997964298435)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "refraccion = [0, 3.5, 7, 11, 14.5, 18, 21.5, 25, 28.5, 31.5, 35, 37.5, 40, 42.5, 44.5, 46, 47, 47.5]\n",
    "incidencia = incidencias(refraccion, paso)\n",
    "\n",
    "generar_grafica_sin_termino_indep(rad_sin(refraccion), rad_sin(incidencia), x_lbl = f\"$sen(\\\\alpha_r)$\", y_lbl = f\"$sen(\\\\alpha_i)$\", m_lbl = f\"$n_a$\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "$n_a$:\t1.332638e+00\n",
      "S($n_a$): 0.0017401038363657876\n",
      "stdv:\t0.0023938206456711095\n",
      "r:\t0.999992327555231\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(1.332637521127402,\n",
       " 0.0023938206456711095,\n",
       " 0.0017401038363657876,\n",
       " 0.999992327555231)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "refraccion = [0, 6.5, 13.5, 20, 27, 34, 42, 50, 59, 70.5]\n",
    "incidencia = incidencias(refraccion, paso)\n",
    "\n",
    "generar_grafica_sin_termino_indep(rad_sin(incidencia), rad_sin(refraccion), x_lbl = f\"$sen(\\\\alpha_i)$\", y_lbl = f\"$sen(\\\\alpha_r)$\", m_lbl = f\"$n_a$\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "$n_a$: 1.3351924182467427\n",
      "S($n_a$): 0.02069050119478826\n"
     ]
    }
   ],
   "source": [
    "angulo_limite = 48.5\n",
    "n_a = angulo_limite_n(angulo_limite)\n",
    "print(f\"$n_a$: {n_a}\")\n",
    "\n",
    "Sn = 0.0017401038363657876\n",
    "print(f\"S($n_a$): {media_cuadrada(incertidumbre_angulo_limite(angulo_limite, 1), Sn)}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Alcohol"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "$n_al$:\t1.368498e+00\n",
      "S($n_al$): 0.002578932468897507\n",
      "stdv:\t0.0054940461703779355\n",
      "r:\t0.9999698150011107\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(1.3684975325099544,\n",
       " 0.0054940461703779355,\n",
       " 0.002578932468897507,\n",
       " 0.9999698150011107)"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "refraccion = [0, 3.5, 7, 10.5, 14.5, 18, 21.5, 24.5, 28, 31, 34, 36.5, 39, 41.5, 43, 45, 46.5, 47.5]\n",
    "incidencia = incidencias(refraccion, paso)\n",
    "\n",
    "generar_grafica_sin_termino_indep(rad_sin(refraccion), rad_sin(incidencia), x_lbl = f\"$sen(\\\\alpha_r)$\", y_lbl = f\"$sen(\\\\alpha_i)$\", m_lbl = f\"$n_al$\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "$n_al$:\t1.369109e+00\n",
      "S($n_al$): 0.002938785149362876\n",
      "stdv:\t0.004042818834552408\n",
      "r:\t0.9999792671707077\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(1.3691090912796033,\n",
       " 0.004042818834552408,\n",
       " 0.002938785149362876,\n",
       " 0.9999792671707077)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "refraccion = [0, 6.5, 13.5, 20.5, 27.5, 35.5, 43, 52, 62, 76]\n",
    "incidencia = incidencias(refraccion, paso)\n",
    "\n",
    "generar_grafica_sin_termino_indep(rad_sin(incidencia), rad_sin(refraccion), x_lbl = f\"$sen(\\\\alpha_i)$\", y_lbl = f\"$sen(\\\\alpha_r)$\", m_lbl = f\"$n_al$\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "$n_al$: 1.3673274610985953\n",
      "S($n_al$): 0.022447086625532076\n"
     ]
    }
   ],
   "source": [
    "angulo_limite = 47\n",
    "n_al = angulo_limite_n(angulo_limite)\n",
    "print(f\"$n_al$: {n_al}\")\n",
    "\n",
    "Sn = 0.002938785149362876\n",
    "print(f\"S($n_al$): {media_cuadrada(incertidumbre_angulo_limite(angulo_limite, 1), Sn)}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Bobinas de Helmholtz"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "R = 0.2 # m\n",
    "I = 2.5 # A\n",
    "mu = (math.pi)*4*(10**-7)\n",
    "sI = 0.001 # A\n",
    "N = 154 # num espiras\n",
    "a = R # metros\n",
    "sB = 0.02 # mT\n",
    "sZ = 0.001 #m"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Primera Parte"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Genera la gráfica\n",
    "def gen_grafica(x, y, title, x_lbl, y_lbl):\n",
    "    plot = plt.scatter(x, y)\n",
    "    plt.xlabel(f\"{x_lbl}\")\n",
    "    plt.ylabel(f\"{y_lbl}\")\n",
    "    plt.title(title)\n",
    "    plt.grid()\n",
    "    plt.show()\n",
    "\n",
    "def graficar_con_z0(x_producer: list[float],y: list[float], title, x_lbl: str = \"Distancia a $z_0$ (m)\", y_lbl: str = \"Campo Magnético B (T)\"):\n",
    "    gen_grafica(x_producer, B, title, x_lbl, y_lbl)\n",
    "\n",
    "# Genera los valores de campo magnetico teoricos\n",
    "def campo_magnetico_teorico(mu, I, N, R, z: tuple[float], a):\n",
    "    B = [((mu*I*N)/(2*R))*((1/((1+((z-a/2)/R)**2)**(3/2)))+(1/((1+((z+a/2)/R)**2)**(3/2)))) for z in z]\n",
    "    return B\n",
    "\n",
    "# Incertidumbre de los datos experimentales frente a los teoricos\n",
    "def s_teorico(B_teorico, B_experimental):\n",
    "    operacion = [(x-y)**2 for x, y in zip(B_teorico, B_experimental)]\n",
    "    incertidumbre = math.sqrt(sum(operacion)/len(operacion))\n",
    "    return incertidumbre\n",
    "\n",
    "# Propagacion errores para campo magnetico (B). Calculada para cada caso y luego con media cuadrada\n",
    "def propagacion_errores(sI, sZ, mu, N, R, a, z: tuple[float]):\n",
    "    errores = [math.sqrt(((mu*N*(1/((z+a/2)**2/R**2+1)**(3/2)+1/((z-a/2)**2/R**2+1)**(3/2)))/(2*R))**2 * sI**2 + ((I*mu*N*(-(3*(z+a/(2*R))*abs(z+a/(2*R)))/((z+a/(2*R))**2*abs(z+a/(2*R))+1)**2-(3*(z-a/(2*R))*abs(z-a/(2*R)))/((z-a/(2*R))**2*abs(z-a/(2*R))+1)**2))/(2*R))**2 * sZ**2) for z in z]\n",
    "    error = [(j**2) for j in errores]\n",
    "    error_final = math.sqrt(sum(error))\n",
    "    return (error_final)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Para a = 0.2m"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Z16VLF73Lr127prXcysoKPXr00FqmrhOkvuX7zz//RMeOHXWSRB8fH816Yz3xxBNwdHTEzp07ceLECTz44IPo1auX3tvLlUol1q5di3/961/Izc2FQqHQrFNfPlLvv2fPnjq/bHv16qV3DJ07d9Zp265dO/z666+a1+fOncPp06fRoUMHvX0UFhbWeKz3unDhAgDAz8/PYBt1LO+//36ddd7e3vjpp5+q3ce5c+fw66+/Gj3uez8/6mTr3s9JXbl3/+oxqPd/+fJllJSUVBszfUyNo1Qq1YnZ3eOoaT9eXl5ayzt06KCVuAKmvzeGvP322/j2228RGxuL0NBQo7a5271jlUgkOt+DeXl5iI+Px549e3RicO8fea1atULnzp119mNKH/cy9nvfkP79+9fYxhjqJLG8vFxnnfqu57sTyZq8+uqrSE1NxdatW9GnTx+9bfT9TJdKpTqXE52dnXH16lWj991cMMEiDScnJ3Ts2BHZ2dlGtb9w4QKGDh0Kb29vrFq1Cl26dIGtrS327duH1atXQ6lUarW3trbW24+h5UII0w7Awuzs7PDUU09hy5Ytmsrahrz11ltYuHAhJk6ciMWLF8PFxQVWVlaYNWuWThxMYUxslEol/P39sWrVKr1t701gGwulUolhw4YZ/Mv83iKblv6cGDqjdPcvyLrcv7kMjcOSTH1v9MnIyMDChQsREhKimSNpaQqFAsOGDUNRURHeeOMNeHt7o3Xr1rh06RJefPFFne+9u882mdvHvWr7vV9UVKQzB04fe3t7rT9Y7+Xh4QEAyM/P11mXn58PFxcXo8uwJCYm4l//+heWLVuGF154wWA7fZ/FxvJ90hgwwSItTz75JD744ANkZGRoXc7TZ+/evSgvL8eePXu0/pIx55KUMZRKJS5evKj1w/33338HoKpEDQDdunXDd999hxs3bmidxTpz5oxmvSmee+45bN68GVZWVhgzZozBdp9//jmGDBmCjz76SGv59evXtf6a69atG3JyciCE0PoFf/78eZPGdbeePXvi5MmTGDp0aI2FKY0tXKm+FJadnW3w7Jo6lmfPntVcjlQ7e/ZsjbHu2bMnbt68adaZDUto164drl+/rrPclLOcd+vQoQOcnJyM/gNFrbZxNHU/586d0zoTfPnyZZ2zNrV9b65du4YxY8agTZs22L59O1q1Mu9Xzblz57ReCyFw/vx59O7dGwBw6tQp/P7779iyZQvGjx+vaZeWlmb0Pmrbh7Hf+4Y89dRT+M9//lNju+joaCQnJxtc36lTJ3To0AFHjhzRWZeVlYWAgIAa9wEA69evx5tvvolZs2bhjTfeMGob0o9zsEjLvHnz0Lp1a7z00ksoKCjQWX/hwgWsXbsWQNVfKnf/ZVJcXIyPP/64zsb33nvvaf4vhMB7770HGxsbDB06FIDqsp5CodBqBwCrV6+GRCLR3HlnrCFDhmDx4sV47733IJPJDLaztrbW+Qtt9+7duHTpktay8PBwXLp0CXv27NEsKysrw6ZNm0wa192effZZXLp0SW8ft2/fRmlpqeZ169at9SYV9woLC4OjoyOSkpJ0iqqqj3PAgAFwc3PDxo0btS5L7N+/H6dPn8bw4cNrHHdGRga+/fZbnXXXr1/HnTt3ahxnbfTs2RPFxcVal1vz8/Px1VdfmdWflZUVIiMjsXfvXr2/5Az9BV/bOBorNDQUNjY2ePfdd7XGou+OwNq+NxMnTkReXh4++uijWiWIW7du1Zqy8PnnnyM/P1/zfazvZ5AQQvMzyhi17cPY731DLDUHCwCefvpp/Pvf/8b//vc/zbL09HT8/vvviIqK0iyrrKzEmTNndM527dy5E6+99hqef/55g2fEyXg8g0Vaevbsie3bt2tuv727kvvhw4exe/duzTPLwsLCYGtrixEjRuDll1/GzZs3sWnTJri5uek9TV1bUqkUqampiI6ORlBQEPbv349vvvkGCxYs0MwVGTFiBIYMGYJ//vOf+OOPP9CnTx8cOHAAX3/9NWbNmlVtWQJ9rKysEBcXV2O7J598EosWLcKECRMQEhKCU6dO4dNPP9WZM/byyy/jvffew9ixYzFz5kx4eHhoqsMDxp9hutsLL7yAXbt2YerUqTh48CAefvhhKBQKnDlzBrt27cK3336rmXTdv39/fPfdd1i1ahU6duwIT09PzU0Fd3NycsLq1avx0ksv4cEHH8Rzzz2Hdu3a4eTJk7h16xa2bNkCGxsbvP3225gwYQIGDRqEsWPHasoLdO/eHbNnz6523HPnzsWePXvw5JNP4sUXX0T//v1RWlqKU6dO4fPPP8cff/xh1BkAc40ZMwZvvPEG/vGPf+C1117DrVu3sGHDBtx3331GTU7W56233sKBAwcwaNAgTcmM/Px87N69Gz/99JPeshW1jaOxOnTogNdffx1JSUl48skn8cQTT+D48ePYv3+/Tpxr895s3LgRKSkp6N27N27duoVt27bpbTds2DC4u7tXO2YXFxcMHDgQEyZMQEFBAdasWYNevXppbgrx9vZGz5498frrr+PSpUtwcnLCF198YdK8vNr2Yez3viGWmoMFAAsWLMDu3bsxZMgQzJw5Ezdv3sSKFSvg7++PCRMmaNpdunQJPj4+WmfFsrKyMH78eLRv3x5Dhw7Fp59+qtV3SEiI0cdE/68e71ikJuT3338XkydPFt27dxe2trbC0dFRPPzww+Ldd9/VutV3z549onfv3kIqlYru3buLt99+W2zevFmnaKW60Oi98P8FHO+m77Z6fYVG3d3dRUJCgs4t0jdu3BCzZ88WHTt2FDY2NsLLy8vkQqPVMVSmYc6cOcLDw0PY29uLhx9+WGRkZIhBgwaJQYMGaW1/8eJFMXz4cGFvby86dOgg5syZoyleeneFa3WhUX1jvLe8QEVFhXj77bfFAw88IOzs7ES7du1E//79RWJioiguLta0O3PmjHj00UeFvb29UYVG9+zZI0JCQoS9vb1wcnISgYGB4rPPPtNqs3PnTtG3b19hZ2cnXFxcTCo0euPGDREbGyt69eolbG1thaurqwgJCRHvvPOOqKioMBhvNQAiISGh2n1Ut/2BAweEn5+fsLW1Fffff7/Ytm1btYVG76WvQOeff/4pxo8fLzp06CDs7OxEjx49xPTp02ssNGpMHA19PvWNWR+FQiESExM1n9PqCo0a897ooy6HUNPXvcd/N3WMPvvsMxEbGyvc3NyEvb29GD58uE7ZhJycHBEaGiratGkjXF1dxeTJkzUlND7++OMaY2dKH/qY8r1fH7KzszU/I9u2bSuef/55IZfLtdqovyfufs/VPwMMfd0dB/XnTV0eR81QjA39LGvuJEK0wJln1OS8+OKL+Pzzz3Hz5s2GHkqdWLNmDWbPno2//voLnTp1aujhEDWoQ4cOYciQIdi9ezeeeeaZhh4OkVk4B4uont1bi6asrAzvv/8+vLy8mFwRETUTnINFVM+eeuopdO3aFQEBASguLsa2bdtw5swZnTkPRETUdDHBIqpn4eHh+PDDD/Hpp59CoVDA19cXO3bswOjRoxt6aEREZCGcg0VERERkYZyDRURERGRhjSLBWr9+Pbp37w6pVIqgoCBkZWVV23737t3w9vaGVCqFv7+/1oM/AVWRuPj4eHh4eMDe3h6hoaE6FYGXLl2KkJAQODg46K1Nk5ycDIlEovfLnGe7ERERUcvR4AnWzp07ERMTg4SEBBw7dgx9+vRBeHi4wSTm8OHDGDt2LCZNmoTjx48jMjISkZGRWo+nWL58OdatW4eNGzciMzMTrVu3Rnh4uFZF6oqKCkRFRel9sjoAjB49Gvn5+Vpf4eHhGDRokMlPhCciIqKWpcHnYAUFBeHBBx/UPNpEqVSiS5cuePXVVzF//nyd9qNHj0ZpaSn+/e9/a5Y99NBDCAgIwMaNGyGEQMeOHTFnzhy8/vrrAFSPb3F3d0dycrLO8+SSk5Mxa9asGh8fcvnyZXTq1AkfffRRtQ+/vJtSqcTff/8NR0dHsyp0ExERUf0TQuDGjRvo2LGjzgPCjdWgdxFWVFTg6NGjiI2N1SyzsrJCaGgoMjIy9G6TkZGBmJgYrWXh4eFISUkBAOTm5kIul2s9pNTZ2RlBQUHIyMio9oG91dm6dSscHByqLXpXXl6u9SyxS5cuwdfX16z9ERERUcP63//+h86dO5u1bYMmWFeuXIFCodB5HpW7uzvOnDmjdxu5XK63vVwu16xXLzPUxhwfffQRnnvuOdjb2xtsk5SUhMTERJ3lH374IRwcHMzeNxEREdWfW7du4aWXXoKjo6PZfbAOlhEyMjJw+vRpfPLJJ9W2i42N1Tq7VlJSgi5duiAyMhJOTk4WHVNlZSXS0tIwbNgw2NjYWLTvpoRxUGEcqjAWKoyDCuNQhbFQMSYOJSUleOmll2o1vadBEyxXV1dYW1ujoKBAa3lBQQFkMpnebWQyWbXt1f8WFBTAw8NDq01AQIBZ4/zwww8REBBQ41PP7ezsYGdnp7Pcxsamzj7Mddl3U8I4qDAOVRgLFcZBhXGowlioVBcHS8SnQe8itLW1Rf/+/ZGenq5ZplQqkZ6ejuDgYL3bBAcHa7UHgLS0NE17T09PyGQyrTYlJSXIzMw02Gd1bt68iV27dmHSpEkmb0tEREQtU4NfIoyJiUF0dDQGDBiAwMBArFmzBqWlpZgwYQIAYPz48ejUqROSkpIAADNnzsSgQYOwcuVKDB8+HDt27MCRI0fwwQcfAAAkEglmzZqFJUuWwMvLC56enli4cCE6duyIyMhIzX7z8vJQVFSEvLw8KBQKnDhxAgDQq1cvtGnTRtNu586duHPnDsaNG1c/ASEiIqImr8ETrNGjR+Py5cuIj4+HXC5HQEAAUlNTNZPU8/LytG6RDAkJwfbt2xEXF4cFCxbAy8sLKSkp8PPz07SZN28eSktLMWXKFFy/fh0DBw5EamoqpFKppk18fDy2bNmied23b18AwMGDBzF48GDN8o8++ghPPfWU3mKkRERERPo0eIIFADNmzMCMGTP0rjt06JDOsqioKERFRRnsTyKRYNGiRVi0aJHBNsnJyUhOTq5xbIcPH66xDREREdHdGrySOxEREVFzwwSLiIiIyMKYYBERERFZGBMsIiIiIgtrFJPciYjuplAKZOUWofBGGdwcpQj0dIG1Vc0VldXbAUBWbhEe6uUGaytJtf2Zs66+tqltf/fGoS7GZ857WN8x0hcHorrGBIuIGpXU7Hwk7s1BfnGZZpmHsxQJI3wR4edR43ZFN29jeSAwcct/4dLGHiP7eGDPyXy9/QEwuC9D68zpryHGcG8c6mJ8ht6P6t7D+o6RvjhU9zkishSJEEI09CCaq5KSEjg7O6O4uLhOnkW4b98+PPHEEy36kQeMg0pziUNqdj6mbTuGe38oqc85bBjXT+8vx7u3s7MWWB6owLwsa5Qr9J+tkAA6+zBmnSGW3sYS/d0dhwqFxOLjA/S/H9W9hw0Ro3vjABj+HDV3zeXnRG0ZEwdL/P7mHCwiahQUSoHEvTl6f2mqlyXuzYFCqd2iuu0Mqa6tOX9xWnqbptLfve+HMe+hpcdgTn/6PkdElsYEi4gahazcIq3LPPcSAPKLyzRzaozdjuqGvvejKbwXhj5HRJbGOVhE1CgU3jDuF7O8+DYyLlzVTGiWlzTuX+jN3c/nLzfJ9+Lez1FtJ/UT3YsJFhE1Cm6O0pobAVj8zWkUlVZoXru0brlzSRqD9w5e0Py/Kb0X936OajOpn0gfXiIkokYh0NMFHs5S1HSe4O5fiqrXlXU3KDJJU3ov7v0cyYvLMHXbMUzddkznMqe8uAzTth1DanZ+fQ6RmjgmWETUKFhbSTRnEMy9GGPsdhID/69pnTn9NYYx1NcxGdq+LsZQ2/Hdy5xJ/UTVYYJFRI1GhJ8HNozrB5mz9uVCYy89tWttq/Xaw1mKlx/1hMc9/cmcpdg4rh826tlXdevM6a8xjMHS/Rnj3veiMRxTbS5hcnI8mYp1sOoQ62DVPcZBpTHHwRIVveUlZZi980SN+1r9bB+4tbHBldO/wNXnoRZdyf2X84U6cbDE+M4V3MR7B88b9V7InO0bPEZ3x6Gw9I5Rn6PqzBjSE17ujhY5pvrWmH9O1Kf6qoPFSe5EVGfMqeitnkwc3LO9ZnnGhatG7U/mbI8BXZ2w7zS0fpFZW0m0+rubOevqa5va9Bfo6aITB0uML+PCVaMSLJmzfaOI0d1xOJJXUuO4a3L3pP7aVKfnhPnmjwkWEdUJQxW91ZOJ9VFPJr630rZ6Ary8uEzvXBkJVJeMAj1doFTcsdgxkC5T3ovGpqaxm6q6z3J+cRne/yFX7zb6PuPU/HAOFhFZnLkVvQ1NJq5uArz6dcIIX9YqqgdN+b0wZuz61hnCavJUHSZYRGRxtanobWgysaEJ8DJnKc8G1LOm/F5UN/baTOo3BSfMtwy8REhERjNlUnpt6avsHuHngWG+skYzabgla8rvRU1jv3udsZP6zVFdNXlq+phgEZFRDE1Y1zeR1xIVvQ1Vdq9usjPVr6b8Xlh6Ur85DFWTb8xnAMl4vERIRDVST1i/97KfeiLvvctrU9FbAtUvmsY4SZpaHmOfMGAOfdXkWTG++WCCRUTVqm7CujFMmUzc2CdJU8tj6Ynx1eEE+OaFCRYRVas2E9YB0yp6N4VJ0tTymDMx3txq8pwA33xwDhYRabH0hPWFw30MVvRuqpOkqeUxZWL83evmRfiY9VQCQxPgG1NleKoeEywi0tA3kb22E9bNqehN1BhZouK+sU8l0DcBnpXhmxZeIiQiAIYnsps7YZ2T1Yl0GTtp/t4J8IZuKOHE+MaLCRYRGT2R3dgLEZysTqRfdZPmzcGJ8Y0XEywiMnoi+70T1g1N5OVkdSLDDE2aN/dyPCfGN06cg0VEequm62Nowvq9E3k58ZaoevomzRs7Ad4QVoZvXJhgEZHBqun3MjRhnZPViUxn7gR4Q1gZvnHhJUIiqnHiLSesE9W92laNZ2X4xoUJFhEZVa2aE9aJ6hYnwDcvTLCICED11ao5YZ2ofhj6PmRl+KaHc7CIWih9FaFrqlZNRHWvuu9DcyvDq25kcarzsVMVJlhELZC+iu13T4jlhHWihmXpyvDG3shClsNLhEQtjKGK7ZwQS9T08AaVxosJFlELUl3Fdk6IJWp6eINK48UEi6gFqaliOyfEEjU9vEGlcWoUCdb69evRvXt3SKVSBAUFISsrq9r2u3fvhre3N6RSKfz9/bFv3z6t9UIIxMfHw8PDA/b29ggNDcW5c+e02ixduhQhISFwcHBA27ZtDe4rOTkZvXv3hlQqhZubG6ZPn272cRLVN4VSIOPCVXx94hIyLlyFvMS4iu3GVnYnosYhws8DP73xGD6b/BDWjgnAZ5Mfwk9vPKZJrtQ3tQCqP7R4lrruNfgk9507dyImJgYbN25EUFAQ1qxZg/DwcJw9exZubm467Q8fPoyxY8ciKSkJTz75JLZv347IyEgcO3YMfn5+AIDly5dj3bp12LJlCzw9PbFw4UKEh4cjJycHUqkqw6+oqEBUVBSCg4Px0Ucf6R3bqlWrsHLlSqxYsQJBQUEoLS3FH3/8UWexILIkfRPZjX3WGSfEEjU9hibGq38WFN28jeWBwMQt/4VLG3tWea9jDX4Ga9WqVZg8eTImTJgAX19fbNy4EQ4ODti8ebPe9mvXrkVERATmzp0LHx8fLF68GP369cN7770HQHX2as2aNYiLi8OoUaPQu3dvbN26FX///TdSUlI0/SQmJmL27Nnw9/fXu59r164hLi4OW7duxXPPPYeePXuid+/eGDlypMVjQGRphiayF5VWVrsdJ8QSNS+8qaXhNGiCVVFRgaNHjyI0NFSzzMrKCqGhocjIyNC7TUZGhlZ7AAgPD9e0z83NhVwu12rj7OyMoKAgg33qk5aWBqVSiUuXLsHHxwedO3fGs88+i//973+mHCJRvatuIvvdOCGWqHnjTS0Nq0EvEV65cgUKhQLu7u5ay93d3XHmzBm928jlcr3t5XK5Zr16maE2xrh48SKUSiXeeustrF27Fs7OzoiLi8OwYcPw66+/wtbWVmeb8vJylJeXa16XlJQAACorK1FZWf2ZA1Op+7N0v00N46BydxyO5xah6OZt2FlXv007B1tcu1X17DKZkxTzH/fG0Ptdm3Q8+ZlQYRxUWnIcsu75WWBnJbT+BYCim7fxy/nCFnXW2pjPhCU+Lw0+B6uxUiqVqKysxLp16xAWFgYA+OyzzyCTyXDw4EGEh4frbJOUlITExESd5QcOHICDg0OdjDMtLa1O+m1qGAcVdRyWBxrT+vY9r0tRkXsU+3ItPaqGwc+ECuOg0lLjoO9nweIBSq3XV07/gn2n62lAjUh1n4lbt27Vuv8GTbBcXV1hbW2NgoICreUFBQWQyWR6t5HJZNW2V/9bUFAADw8PrTYBAQFGj029ra+vr2ZZhw4d4Orqiry8PL3bxMbGIiYmRvO6pKQEXbp0QVhYGJycLPuIgsrKSqSlpWHYsGGwsTFu4nJz1NLj8N3pAizbfwbXbt7G4gFKLDxiBQepLa7dqvmvr83RDzbLv1pb+mdCjXFQaclxyMotwsQt/9W8trMSmp8T5Ur90wDUZ7JDfdz1rm8OjPlMqK9A1UaDJli2trbo378/0tPTERkZCUB15ig9PR0zZszQu01wcDDS09Mxa9YszbK0tDQEBwcDADw9PSGTyZCenq5JqEpKSpCZmYlp06YZPbaHH34YAHD27Fl07twZAFBUVIQrV66gW7duerexs7ODnZ2dznIbG5s6+8auy76bkpYYh9TsfLyy/SQEADtr1Q/LcqUEJTfuQHeGVRUJVPVxHurl1qznWrXEz4Q+jINKS4zDQ73c4NLGHvLiMq15WOVKCcoV+r/3866V45XtJ1tE/azqPhOW+Kw0+F2EMTEx2LRpE7Zs2YLTp09j2rRpKC0txYQJEwAA48ePR2xsrKb9zJkzkZqaipUrV+LMmTN48803ceTIEU1CJpFIMGvWLCxZsgR79uzBqVOnMH78eHTs2FGTxAFAXl4eTpw4gby8PCgUCpw4cQInTpzAzZs3AQD33XcfRo0ahZkzZ+Lw4cPIzs5GdHQ0vL29MWTIkPoLEJEenMhORDWprsq7IZz8bjkNPgdr9OjRuHz5MuLj4yGXyxEQEIDU1FTNJPW8vDxYWVXlgSEhIdi+fTvi4uKwYMECeHl5ISUlRVMDCwDmzZuH0tJSTJkyBdevX8fAgQORmpqqqYEFAPHx8diyZYvmdd++fQEABw8exODBgwEAW7duxezZszF8+HBYWVlh0KBBSE1NbXF/BVHjU1NFdrV2rW1RVHrXRPa7HuhMRM2fusq7ug6WMe5+ogMf/G6+Bk+wAGDGjBkGLwkeOnRIZ1lUVBSioqIM9ieRSLBo0SIsWrTIYJvk5GQkJydXOy4nJyd89NFHBguREjUUYyutLxzuA5mzPQpvlMHNUVXfimeuiFqWCD8PDPOV4Zfzhbhy+he8/EgPrDtU890s8uLbyLhwlT8/zNQoEiwiMo2xldZlzvb8C5SIYG0lQaCnC/adBoJ6tAeMSLAWf3Na6wy4B8+Am6TB52ARkekCPV3g4Sw1OK+CFdmJyJD+3dpV+/ND7e7kCmD1d1MxwSJqgqqbvMqJ7ERUHXMmvwOcAG8qJlhETZR68qrMWftyocxZ2iJusSYi8xn6+VHTA+HvngBP1eMcLKImQqEUyMot0ppweu/k1c3RDzb7+lZEZBnqnx93/1yRl5Rh9s4TNW5r7I02LRkTLKImIDU7H4l7c7RKM9w94VQ9eZV3+RCRKaytJFo3wmRcuGrUdsbeaNOS8RIhUSOXmp2PaduO6dS94oRTIrI03kBjOUywiBqx6iq2c8IpEVkab6CxHCZYRI1YTRXb1RNOj/55rf4GRUTNGm+gsQzOwSJqxIydSHrlZnkdj4SIWhJ9E+DVczz13XDDM1q6mGARNWLGTiR1bWOHK3U8FiJqWe6dAA/UfMMNVeElQqJGzNgJp/27tavPYRFRC8QbbkzDBIuoEeOEUyJqDHjDjemYYBE1cpxwSkQNzdgbbljhvQrnYBE1IoYmj1Y34ZSIqK4Ze8MNK7xXYYJF1EjUNHlU34RTIqL6YOwNN6zwXoWXCIkaAU4eJaLGjBXeTccEi6iBcfIoETV2vOHGdEywiBoYJ48SUVPAG25MwzlYRA2Mk0eJqKmo6Yab6qq8t7QK8EywiBoYJ48SUVNi6Iab6m7UAdDiKsAzwSJqYOrJo/LiMr3zsCRQnYLn5FEiaqzUN+rc+zNMXlyGqduO6d1GfRNPc728yDlYRA2Mk0eJqCkz5kYdfZr7TTxMsIgaAU4eJaKmqqYbdarTnG/i4SVConrGau1E1JxY4gac5ngTDxMsonrEau1E1NxY4gac5ngTDy8REtUTVmsnouaopirv1WnOFeCZYBHVA1ZrJ6Lmypgbdapb11xv4mGCRVQPWK2diJqz6m7U2TiuHza2wJt4OAeLqB6wWjsRNXc13ahjaF1zrfDOBIuoHrBaOxG1BNXdqKNvXU03/jRlvERIVA9qmgTanCd6EhHp09xv/GGCRVQPWK2diKhKS7jxhwkWUT1htXYiIpWWcOMP52AR1RF9EzdZrZ2IqGXc+MMEi6gO1DRxk9Xaiaglawk3/vASIZGFNfeJm0REtdUSbvxhgkVkQS1h4iYRUW21hBt/mGARWVBLmLhJRGQJzf3Gn0aRYK1fvx7du3eHVCpFUFAQsrKyqm2/e/dueHt7QyqVwt/fH/v27dNaL4RAfHw8PDw8YG9vj9DQUJw7d06rzdKlSxESEgIHBwe0bdtW734kEonO144dO2p1rNS8tYSJm0RElhLh54Gf3ngMn01+CGvHBOCzyQ/hpzce0yRXCqVAxoWr+PrEJWRcuNqkzv43eIK1c+dOxMTEICEhAceOHUOfPn0QHh6OwsJCve0PHz6MsWPHYtKkSTh+/DgiIyMRGRmJ7OxsTZvly5dj3bp12LhxIzIzM9G6dWuEh4ejrKzql1pFRQWioqIwbdq0asf38ccfIz8/X/MVGRlpkeOm5qklTNwkIrIkdYX3UQGdENyzveayYGp2Pga+/T3GbvoFM3ecwNhNv2Dg2983mXmsDZ5grVq1CpMnT8aECRPg6+uLjRs3wsHBAZs3b9bbfu3atYiIiMDcuXPh4+ODxYsXo1+/fnjvvfcAqM5erVmzBnFxcRg1ahR69+6NrVu34u+//0ZKSoqmn8TERMyePRv+/v7Vjq9t27aQyWSaL6mUvxjJsJYwcZOIqK41h5uFGjTBqqiowNGjRxEaGqpZZmVlhdDQUGRkZOjdJiMjQ6s9AISHh2va5+bmQi6Xa7VxdnZGUFCQwT6rM336dLi6uiIwMBCbN2+GEE3n9CTVv5YwcZOIqC41l5uFGrQO1pUrV6BQKODu7q613N3dHWfOnNG7jVwu19teLpdr1quXGWpjrEWLFuGxxx6Dg4MDDhw4gFdeeQU3b97Ea6+9prd9eXk5ysvLNa9LSkoAAJWVlaisrDRp3zVR92fpfpuaxhiHofe74l/P9cGy/WcgL6n660vmJMX8x70x9H5Xfh7qEGOhwjioMA5VmkossnKLUHTzNuysDbcpunkbv5wvNOtqgDFxsESMWGi0GgsXLtT8v2/fvigtLcWKFSsMJlhJSUlITEzUWX7gwAE4ODjUyRjT0tLqpN+mpjHGIcb73iWlqMg9in25dbfPxhiHhsJYqDAOKoxDlaYQi+WBNbe5cvoX7Dtt/j6qi8OtW7fM7/j/NWiC5erqCmtraxQUFGgtLygogEwm07uNTCartr3634KCAnh4eGi1CQgIqNV4g4KCsHjxYpSXl8POzk5nfWxsLGJiYjSvS0pK0KVLF4SFhcHJyalW+75XZWUl0tLSMGzYMNjY2Fi076akIePw3ekCg2epQn3cq9nS8vh5qMJYqDAOKoxDlaYSi6zcIkzc8t8a222OftDsM1g1xUF9Bao2zEqwysvLkZmZiT///BO3bt1Chw4d0LdvX3h6eprUj62tLfr374/09HTN3XlKpRLp6emYMWOG3m2Cg4ORnp6OWbNmaZalpaUhODgYAODp6QmZTIb09HRNQlVSUoLMzMwa7xisyYkTJ9CuXTu9yRUA2NnZ6V1nY2NTZx/muuy7KanvOKRm5+OV7Sf/fz5A1XyqvGvleGX7yQar4cLPQxXGQoVxUGEcqjT2WDzUyw0ubewhLy7TOw9LAlWtrId6udVqPmt1cbBEfExKsH7++WesXbsWe/fuRWVlJZydnWFvb4+ioiKUl5ejR48emDJlCqZOnQpHR0ej+oyJiUF0dDQGDBiAwMBArFmzBqWlpZgwYQIAYPz48ejUqROSkpIAADNnzsSgQYOwcuVKDB8+HDt27MCRI0fwwQcfAFDVrpo1axaWLFkCLy8veHp6YuHChejYsaNWiYW8vDwUFRUhLy8PCoUCJ06cAAD06tULbdq0wd69e1FQUICHHnoIUqkUaWlpeOutt/D666+bEjJqhmqagCmBagLmMF8ZJ7MTEZlIfbPQtG3HIAG0ftY2pZuFjE6wRo4ciWPHjuG5557DgQMHMGDAANjb22vWX7x4ET/++CM+++wzrFq1Clu3bsWwYcNq7Hf06NG4fPky4uPjIZfLERAQgNTUVM0k9by8PFhZVd3sGBISgu3btyMuLg4LFiyAl5cXUlJS4Ofnp2kzb948lJaWYsqUKbh+/ToGDhyI1NRUrRIL8fHx2LJli+Z13759AQAHDx7E4MGDYWNjg/Xr12P27NkQQqBXr16akhLUsplSrZ0PdSYiMp26ynvi3hytn7cyZykSRvg2iSrvRidYw4cPxxdffGHwtFmPHj3Qo0cPREdHIycnB/n5xteomDFjhsFLgocOHdJZFhUVhaioKIP9SSQSLFq0CIsWLTLYJjk5GcnJyQbXR0REICIiwuB6arlYrZ2IqO5F+HlgmK8MWblFKLxRBjdHVQ3Bxn7mSs3oBOvll1/GDz/8gJCQELRqVf1mvr6+8PX1rfXgiBojVmsnIqof6irvTZFJhUaHDBmCoiI+pJZaNlZrJyKimpiUYLGKORGrtRMRUc1MflSORMJfGkTqCZgyZ+3LgDJnaYOVaCAiosbD5DpYL774osE6UGpffvml2QMiaiqa+gRMIqKmTKEUjfrnr8kJlqOjo1Z5BqKWrClPwCQiaqpSs/N1Sjh4NLISDiYnWOvWrYObm1tdjIWIiIioWqnZ+Zi27ZhOsWd5cRmmbTvWaKZpmDQHi/OviIiIqKHU9CQNQPUkDYWy4W/K412ERERE1CSY8iSNhmZSgnXw4EG4uLC2DxEREdW/pvQkDaMTrB07dmDQoEE1VnEHgP/973/4+eefazUwIiIiors1pSdpGJ1gbdiwAT4+Pli+fDlOnz6ts764uBj79u3Dc889h379+uHq1asWHSgRERG1bE3pSRpGJ1j/+c9/8PbbbyMtLQ1+fn5wcnKCl5cX/P390blzZ7Rv3x4TJ05E165dkZ2djZEjR9bluImIiKiFaUpP0jCpTMPIkSMxcuRIXLlyBT/99BP+/PNP3L59G66urujbty/69u0LKyuTi8MTERERGUX9JI1762DJmnodLABwdXVFZGSkhYdCREREVLOm8CQNsxIsIiIioobU2J+kwet5RERERBbGBIuIiIjIwphgEREREVkY52ARGUGhFI16MiURETUuJidY586dw6+//op+/frB09MT33zzDd5++23cvn0bkZGRWLBgAR8KTc1Kana+zu3AHo3sdmAiImpcTLpE+NVXX8HX1xfPPfccfHx8sHXrVjzzzDNo3bo13N3d8eabb2L58uV1NVaiepeanY9p247pPFxUXlyGaduOITU7v4FGRkREjZlJCdbSpUsxb948lJWVYcOGDZg6dSqSkpKwf/9+/Pvf/8b69euRnJxcR0Mlql8KpUDi3hwIPevUyxL35kCh1NeCiIhaMpMSrLNnz2LixImQSCSIjo5GRUUFQkNDNevDwsLw559/WnyQRA0hK7dI58zV3QSA/OIyZOUW1d+giIioSTApwSotLYWjo6NqQysr2Nvbw8HBQbPe3t4e5eXllh0hUQMpvGE4uTKnHRERtRwmJVgSiURrAvu9r4maEzdHqUXbERFRy2HSXYRCCNx3332apOrmzZtaD3gWgnNRqPkI9HSBh7MU8uIyvfOwJFA9XDTQ06W+h0ZERI2cSQnWxx9/XFfjIGp0rK0kSBjhi2nbjkECaCVZ6vO2CSN8WQ+LiIh0mJRgRUdH19U4iBqlCD8PbBjXT6cOlox1sIiIqBqs5E5Ugwg/DwzzlbGSOxERGY0JFpERrK0kCO7ZvqGHQURETQQf9kxERERkYUywiIiIiCys1gmWEILlGYiIiIjuYnaCtXXrVvj7+8Pe3h729vbo3bs3PvnkE0uOjaheKZQCGReu4usTl5Bx4SqfMUhERGYza5L7qlWrsHDhQsyYMQMPP/wwAOCnn37C1KlTceXKFcyePduigySqa6nZ+TqlGDxYioGIiMxkVoL17rvvYsOGDRg/frxm2ciRI/HAAw/gzTffZIJFTUpqdj6mbTumU61dXlyGaduOYcO4fkyyiIjIJGZdIszPz0dISIjO8pCQEOTn59d6UET1RaEUSNybo/dROOpliXtzeLmQiIhMYlaC1atXL+zatUtn+c6dO+Hl5VXrQRHVl6zcIq3LgvcSAPKLy5CVW1R/gyIioibPrEuEiYmJGD16NH744QfNHKyff/4Z6enpehMvosaq8Ibh5MqcdkRERICZZ7CefvppZGZmwtXVFSkpKUhJSYGrqyuysrLwj3/8w+T+1q9fj+7du0MqlSIoKAhZWVnVtt+9eze8vb0hlUrh7++Pffv2aa0XQiA+Ph4eHh6wt7dHaGgozp07p9Vm6dKlCAkJgYODA9q2bVvt/q5evYrOnTtDIpHg+vXrJh8fNV5ujlKLtiMiIgJqUaahf//+2LZtG44ePYqjR49i27Zt6Nu3r8n97Ny5EzExMUhISMCxY8fQp08fhIeHo7CwUG/7w4cPY+zYsZg0aRKOHz+OyMhIREZGIjs7W9Nm+fLlWLduHTZu3IjMzEy0bt0a4eHhKCurOgtRUVGBqKgoTJs2rcYxTpo0Cb179zb52KjxC/R0gYezFIaeKiiB6m7CQE+X+hwWERE1cWYlWPv27cO3336rs/zbb7/F/v37Tepr1apVmDx5MiZMmABfX19s3LgRDg4O2Lx5s972a9euRUREBObOnQsfHx8sXrwY/fr1w3vvvQdAdfZqzZo1iIuLw6hRo9C7d29s3boVf//9N1JSUjT9JCYmYvbs2fD39692fBs2bMD169fx+uuvm3Rc1DRYW0mQMMIXAHSSLPXrhBG+fLAzERGZxKw5WPPnz8eyZct0lgshMH/+fDz++ONG9VNRUYGjR48iNjZWs8zKygqhoaHIyMjQu01GRgZiYmK0loWHh2uSp9zcXMjlcoSGhmrWOzs7IygoCBkZGRgzZoxRYwOAnJwcLFq0CJmZmbh48WKN7cvLy1FeXq55XVJSAgCorKxEZWWl0fs1hro/S/fb1FgiDkPvd8W/nuuDZfvPQF5SdZZT5iTF/Me9MfR+10YfZ34eqjAWKoyDCuNQhbFQMSYOloiRWQnWuXPn4Ovrq7Pc29sb58+fN7qfK1euQKFQwN3dXWu5u7s7zpw5o3cbuVyut71cLtesVy8z1MYY5eXlGDt2LFasWIGuXbsalWAlJSUhMTFRZ/mBAwfg4OBg9L5NkZaWVif9NjWWiEOM971LSlGRexT7cmvddb3h56EKY6HCOKgwDlUYC5Xq4nDr1q1a929WguXs7IyLFy+ie/fuWsvPnz+P1q1b13pQjUFsbCx8fHwwbtw4k7a5++xaSUkJunTpgrCwMDg5OVl0fJWVlUhLS8OwYcNgY2Nj0b6bEsZBhXGowlioMA4qjEMVxkLFmDior0DVhlkJ1qhRozBr1ix89dVX6NmzJwBVcjVnzhyMHDnS6H5cXV1hbW2NgoICreUFBQWQyWR6t5HJZNW2V/9bUFAADw8PrTYBAQFGj+3777/HqVOn8PnnnwOA5oHWrq6u+Oc//6n3TJWdnR3s7Ox0ltvY2NTZh7ku+25KGAcVxqEKY6HCOKgwDlUYC5Xq4mCJ+Jg1yX358uVo3bo1vL294enpCU9PT/j4+KB9+/Z45513jO7H1tYW/fv3R3p6umaZUqlEeno6goOD9W4THBys1R5QneZTt/f09IRMJtNqU1JSgszMTIN96vPFF1/g5MmTOHHiBE6cOIEPP/wQAPDjjz9i+vTpRvdDRERELY/ZlwgPHz6MtLQ0nDx5Evb29ujduzceffRRk/uKiYlBdHQ0BgwYgMDAQKxZswalpaWYMGECAGD8+PHo1KkTkpKSAAAzZ87EoEGDsHLlSgwfPhw7duzAkSNH8MEHHwAAJBIJZs2ahSVLlsDLywuenp5YuHAhOnbsiMjISM1+8/LyUFRUhLy8PCgUCpw4cQKAqkp9mzZtNGfm1K5cuQIA8PHxqbFuFhEREbVsZiVYgCqRCQsLQ1hYWK0GMHr0aFy+fBnx8fGQy+UICAhAamqqZpJ6Xl4erKyqTrSFhIRg+/btiIuLw4IFC+Dl5YWUlBT4+flp2sybNw+lpaWYMmUKrl+/joEDByI1NRVSaVWxyPj4eGzZskXzWl3D6+DBgxg8eHCtjokaL4VSICu3CIU3yuDmqKpvxRIMRERkaUYnWOvWrcOUKVMglUqxbt26atu+9tprJg1ixowZmDFjht51hw4d0lkWFRWFqKgog/1JJBIsWrQIixYtMtgmOTkZycnJRo9x8ODBmnlY1DSlZucjcW+O1rMHPZylSBjhiwg/j2q2JCIiMo3RCdbq1avx/PPPQyqVYvXq1QbbSSQSkxMsorqWmp2PaduO4d4UWV5chmnbjmHDuH5MsoiIyGKMTrByc3P1/p+osVMoBRL35ugkVwAgoKrYnrg3B8N8ZbxcSEREFmHWXYSLFi3SW4Tr9u3b1V6WI2oIWblFWpcF7yUA5BeXISu3qP4GRUREzZpZCVZiYiJu3ryps/zWrVt660MRNaTCG4aTK3PaERER1cSsBEsIAYlE91LKyZMn4eLiUutBEVmSm6O05kYmtCMiIqqJSWUa2rVrB4lEAolEgvvuu08ryVIoFLh58yamTp1q8UES1Uagpws8nKWQF5fpnYclASBzVpVsICIisgSTEqw1a9ZACIGJEyciMTERzs7OmnW2trbo3r27SdXSieqDtZUECSN8MW3bMUgArSRL/SdCwghfTnAnIiKLMSnBio6OBqB6HM3DDz+MVq3MrlNKVK8i/DywYVw/nTpYMtbBIiKiOmBWhjRo0CBcuHABH3/8MS5cuIC1a9fCzc0N+/fvR9euXfHAAw9YepxEtRbh54FhvjJWciciojpn1CT3s2fPar3+z3/+A39/f2RmZuLLL7/U3FF48uRJJCQkWH6URBZibSVBcM/2GBXQCcE92zO5IiKiOmFUgvXll1/i+eefh0KhAADMnz8fS5YsQVpaGmxtbTXtHnvsMfzyyy91M1IiIiKiJsKoBOv111+Hi4sLwsPDAQCnTp3CP/7xD512bm5uuHLlimVHSERERNTEGJVg2djY4N1338XLL78MAGjbti3y8/N12h0/fhydOnWy7AiJiIiImhiTCo1GRUUBAMaMGYM33ngDcrkcEokESqUSP//8M15//XWMHz++TgZKZAqFUiDjwlV8feISMi5chUKprwIWERFR3TDrLsK33noL06dPR5cuXaBQKODr6wuFQoHnnnsOcXFxlh4jkUlSs/N1yjF4sBwDERHVI7MSLFtbW2zatAkLFy5EdnY2bt68ib59+8LLy8vS4yMySWp2PqZtO6ZTsV1eXIZp245hw7h+TLKIiKjO1apSaNeuXdG1a1dLjYWoVhRKgcS9OXofhyOgqtqeuDcHw3xlLM9ARER1yqwES6FQIDk5Genp6SgsLIRSqdRa//3331tkcESmyMot0roseC8BIL+4DFm5RQju2b7+BkZERC2OWQnWzJkzkZycjOHDh8PPz0/roc9EDaXwhuHkypx2RERE5jIrwdqxYwd27dqFJ554wtLjITKbm6PUou2IiIjMZVKZBjVbW1v06tXL0mMhqpVATxd4OEth6HyqBKq7CQM9XepzWERE1AKZlWDNmTMHa9euhRCsLUSNh7WVBAkjfAFAJ8lSv04Y4csJ7kREVOfMukT4008/4eDBg9i/fz8eeOAB2NjYaK3/8ssvLTI4IlNF+Hlgw7h+OnWwZKyDRURE9cisBKtt27Z6n0VIVJ8USoGs3CIAqjsIH+rlBmsrCSL8PDDMV4as3CIU3iiDm6PqsiDPXBERUX0xK8H6+OOPLT0OIpOoq7UX3byN5YHAxC3/hUsbe81ZKmsrCUsxEBFRgzFrDhZRQ1JXa7+35pW6Wntqtu6DyImIiOqTWWew+vbtq7f2lUQigVQqRa9evfDiiy9iyJAhtR4g0d1YrZ2IiJoCs85gRURE4OLFi2jdujWGDBmCIUOGoE2bNrhw4QIefPBB5OfnIzQ0FF9//bWlx0stnCnV2omIiBqKWWewrly5gjlz5mDhwoVay5csWYI///wTBw4cQEJCAhYvXoxRo0ZZZKBEAKu1ExFR02DWGaxdu3Zh7NixOsvHjBmDXbt2AQDGjh2Ls2fP1m50RPdgtXYiImoKzEqwpFIpDh8+rLP88OHDkEpVv9iUSqXm/0SWwmrtRETUFJh1ifDVV1/F1KlTcfToUTz44IMAgP/+97/48MMPsWDBAgDAt99+i4CAAIsNlAioqtY+bdsxVmsnIqJGy6wEKy4uDp6ennjvvffwySefAADuv/9+bNq0Cc899xwAYOrUqZg2bZrlRkr0/+6u1l5087ZmOau1ExFRY2FWggUAzz//PJ5//nmD6+3t7c3tmqhG6mrtv5wvxJXTv2Bz9IOaSu5EREQNjYVGqcmytpJo5lrxUThERNSYmHUGS6FQYPXq1di1axfy8vJQUVGhtb6oiDWIiIiIqOUy6wxWYmIiVq1ahdGjR6O4uBgxMTF46qmnYGVlhTfffNPCQyQiIiJqWsxKsD799FNs2rQJc+bMQatWrTB27Fh8+OGHiI+Pxy+//GLpMRIRERE1KWYlWHK5HP7+/gCANm3aoLi4GADw5JNP4ptvvrHc6IiIiIiaILMSrM6dOyM/Px8A0LNnTxw4cACAqhaWnZ2dyf2tX78e3bt3h1QqRVBQELKysqptv3v3bnh7e0MqlcLf3x/79u3TWi+EQHx8PDw8PGBvb4/Q0FCcO3dOq83SpUsREhICBwcHtG3bVmcfV69eRUREBDp27Ag7Ozt06dIFM2bMQElJicnHR0RERC2LWQnWP/7xD6SnpwNQFR1duHAhvLy8MH78eEycONGkvnbu3ImYmBgkJCTg2LFj6NOnD8LDw1FYWKi3/eHDhzF27FhMmjQJx48fR2RkJCIjI5Gdna1ps3z5cqxbtw4bN25EZmYmWrdujfDwcJSVVT2frqKiAlFRUQZrdVlZWWHUqFHYs2cPfv/9dyQnJ+O7777D1KlTTTo+IiIiaoGEBRw+fFisXLlS7Nmzx+RtAwMDxfTp0zWvFQqF6Nixo0hKStLb/tlnnxXDhw/XWhYUFCRefvllIYQQSqVSyGQysWLFCs3669evCzs7O/HZZ5/p9Pfxxx8LZ2dno8a6du1a0blzZ6PaCiFEcXGxACCKi4uN3sZYFRUVIiUlRVRUVFi876aEcVBhHKowFiqMgwrjUIWxUDEmDpb4/W12odG7BQcHIzg42OTtKioqcPToUcTGxmqWWVlZITQ0FBkZGXq3ycjIQExMjNay8PBwpKSkAAByc3Mhl8sRGhqqWe/s7IygoCBkZGRgzJgxJo8TAP7++298+eWXGDRokME25eXlKC8v17xWX06srKxEZWWlWfs1RN2fpfttahgHFcahCmOhwjioMA5VGAsVY+JgiRiZlGD98MMPRrV79NFHjWp35coVKBQKuLu7ay13d3fHmTNn9G4jl8v1tpfL5Zr16mWG2phi7Nix+Prrr3H79m2MGDECH374ocG2SUlJSExM1Fl+4MABODg4mLxvY6SlpdVJv00N46DCOFRhLFQYBxXGoQpjoVJdHG7dulXr/k1KsAYPHgyJRFUtWwiht41EIoFCoaj1wBqL1atXIyEhAb///jtiY2MRExODf/3rX3rbqterlZSUoEuXLggLC4OTk5NFx1VZWYm0tDQMGzYMNjY2Fu27sfjudAGW7T8DeUnV3DmZkxTzH/dGqI8qgW4JcTAG41CFsVBhHFQYhyqMhYoxcbDEDW0mJVjt2rWDo6MjXnzxRbzwwgtwdXWt1c5dXV1hbW2NgoICreUFBQWQyWR6t5HJZNW2V/9bUFAADw8PrTYBAQEmj1Emk0Emk8Hb2xsuLi545JFHsHDhQq2+1ezs7PTeRWljY1NnH+a67LshpWbn45XtJ6FK46segZN3rRyvbD+JDeP6aT3UubnGwVSMQxXGQoVxUGEcqjAWKtXFwRLxMekuwvz8fLz99tvIyMiAv78/Jk2ahMOHD8PJyQnOzs6aL2PZ2tqif//+mjsSAUCpVCI9Pd3gnK7g4GCt9oDqNJ+6vaenJ2QymVabkpISZGZmmjVP7G5KpRIAtOZZkeUplAKJe3Og7xypelni3hwolPrPohIRETU0k85g2draYvTo0Rg9ejTy8vKQnJyMGTNmoLy8HNHR0UhMTESrVqbNm4+JiUF0dDQGDBiAwMBArFmzBqWlpZgwYQIAYPz48ejUqROSkpIAADNnzsSgQYOwcuVKDB8+HDt27MCRI0fwwQcfAFBdopw1axaWLFkCLy8veHp6YuHChejYsSMiIyM1+83Ly0NRURHy8vKgUChw4sQJAECvXr3Qpk0b7Nu3DwUFBXjwwQfRpk0b/Pbbb5g7dy4efvhhdO/e3aRjJNNk5RYhv7jM4HoBIL+4DFm5RRjQ1bKXXomIiCzB7LsIu3btivj4eLzwwguYNGkSli1bhjlz5sDFxcWkfkaPHo3Lly8jPj4ecrkcAQEBSE1N1UxSz8vLg5VV1Ym2kJAQbN++HXFxcViwYAG8vLyQkpICPz8/TZt58+ahtLQUU6ZMwfXr1zFw4ECkpqZCKpVq2sTHx2PLli2a13379gUAHDx4EIMHD4a9vT02bdqE2bNno7y8HF26dMFTTz2F+fPnmxUvMl7hDcPJlW47JlhERNT4mJVglZeX44svvsDmzZuRkZGB4cOH45tvvjE5uVKbMWMGZsyYoXfdoUOHdJZFRUUhKirKYH8SiQSLFi3CokWLDLZJTk5GcnKywfVDhgzB4cOHDa6nuuPmKK25kQntiIiI6ptJCVZWVhY+/vhj7NixA927d8eECROwa9cusxMrIn0CPV3g4SyFvLhM7zwsCQCZsxSBni5QKu7U9/CIiIhqZFKC9dBDD6Fr16547bXX0L9/fwDATz/9pNNu5MiRlhkdtUjWVhIkjPDFtG3HIAG0kiz1/YQJI3xhbSWBsvlUBCEiombE5EuEeXl5WLx4scH1za0OFjWMCD8PbBjXD4l7c7QmvMucpUgY4atVooGIiKixMSnBUpcpIKoPEX4eGOYrQ1ZuEQpvlMHNUXVZ0NpKUvPGREREDcgizyIkqivWVhIE92zf0MMgIiIyiUmFRomIiIioZkywiIiIiCyMCRYRERGRhXEOFjUKCqXgZHYiImo2apVgHT16FKdPnwYA+Pr6ol+/fhYZFLUsqdn5OuUYPFiOgYiImjCzEqzCwkKMGTMGhw4dQtu2bQEA169fx5AhQ7Bjxw506NDBkmOkZiw1Ox/Tth3TqdguLy7DtG3HsGFcPyZZRETU5Jg1B+vVV1/FjRs38Ntvv6GoqAhFRUXIzs5GSUkJXnvtNUuPkZophVIgcW+O3sfhqJcl7s2BQqmvBRERUeNl1hms1NRUfPfdd/Dx8dEs8/X1xfr16xEWFmaxwVHzlpVbpHVZ8F4CQH5xGbJyi1gLi4iImhSzzmAplUrY2NjoLLexsWG1dzJa4Q3DyZU57YiIiBoLsxKsxx57DDNnzsTff/+tWXbp0iXMnj0bQ4cOtdjgqHlzc5RatB0REVFjYVaC9d5776GkpATdu3dHz5490bNnT3h6eqKkpATvvvuupcdIzVSgpws8nKUwVIxBAtXdhIGeLvU5LCIiolozaw5Wly5dcOzYMXz33Xc4c+YMAMDHxwehoaEWHRw1b9ZWEiSM8MW0bccgAbQmu6uTroQRvqyHRURETY7ZdbAkEgmGDRuGYcOGWXI81MJE+Hlgw7h+OnWwZKyDRURETZjZCVZ6ejpWr16tKTTq4+ODWbNm8SwWmSzCzwPDfGWs5E5ERM2GWXOw/vWvfyEiIgKOjo6YOXMmZs6cCScnJzzxxBNYv369pcdILYC1lQTBPdtjVEAnBPdsz+SKiIiaNLPOYL311ltYvXo1ZsyYoVn22muv4eGHH8Zbb72F6dOnW2yARERERE2NWWewrl+/joiICJ3lYWFhKC4urvWgiIiIiJoysxKskSNH4quvvtJZ/vXXX+PJJ5+s9aCIiIiImjKzLhH6+vpi6dKlOHToEIKDgwEAv/zyC37++WfMmTMH69at07TlswlJTaEUnMhOREQtglkJ1kcffYR27dohJycHOTk5muVt27bFRx99pHktkUiYYBEAIDU7X6cUgwdLMRARUTNlVoKVm5tr6XFQM5aanY9p245pFRIFAHlxGaZtO4YN4/oxySIiombFrDlYRMZSKAUS9+boJFdAVeX2xL05UCj1tSAiImqazDqDJYTA559/joMHD6KwsBBKpVJr/ZdffmmRwVHTl5VbpHVZ8F4CQH5xGbJyixDcs339DYyIiKgOmZVgzZo1C++//z6GDBkCd3d3SCScqEz6Fd4wnFyZ046IiKgpMCvB+uSTT/Dll1/iiSeesPR4qJlxc5RatB0REVFTYNYcLGdnZ/To0cPSY6FmKNDTBR7OUhg6xymB6m7CQE+X+hwWERFRnTIrwXrzzTeRmJiI27dvW3o81MxYW0mQMMIXAHSSLPXrhBG+rIdFRETNilmXCJ999ll89tlncHNzQ/fu3WFjY6O1/tixYxYZHDUPEX4e2DCun04dLBnrYBERUTNlVoIVHR2No0ePYty4cZzkTkaJ8PPAMF8ZK7kTEVGLYFaC9c033+Dbb7/FwIEDLT0easasrSQsxUBERC2CWXOwunTpAicnJ0uPhYiIiKhZMCvBWrlyJebNm4c//vjDwsMhIiIiavrMukQ4btw43Lp1Cz179oSDg4POJPeioiKLDI6IiIioKTIrwVqzZo2Fh0FERETUfJh1iTA6OrraL1OtX78e3bt3h1QqRVBQELKysqptv3v3bnh7e0MqlcLf3x/79u3TWi+EQHx8PDw8PGBvb4/Q0FCcO3dOq83SpUsREhICBwcHtG3bVmcfJ0+exNixY9GlSxfY29vDx8cHa9euNfnYiIiIqOUxK8G6W1lZGUpKSrS+TLFz507ExMQgISEBx44dQ58+fRAeHo7CwkK97Q8fPoyxY8di0qRJOH78OCIjIxEZGYns7GxNm+XLl2PdunXYuHEjMjMz0bp1a4SHh6OsrKoGU0VFBaKiojBt2jS9+zl69Cjc3Nywbds2/Pbbb/jnP/+J2NhYvPfeeyYdHxEREbU8ZiVYpaWlmDFjBtzc3NC6dWu0a9dO68sUq1atwuTJkzFhwgT4+vpi48aNcHBwwObNm/W2X7t2LSIiIjB37lz4+Phg8eLF6NevnybxEUJgzZo1iIuLw6hRo9C7d29s3boVf//9N1JSUjT9JCYmYvbs2fD399e7n4kTJ2Lt2rUYNGgQevTogXHjxmHChAn48ssvTTo+IiIiannMmoM1b948HDx4EBs2bMALL7yA9evX49KlS3j//fexbNkyo/upqKjA0aNHERsbq1lmZWWF0NBQZGRk6N0mIyMDMTExWsvCw8M1yVNubi7kcjlCQ0M1652dnREUFISMjAyMGTPGhCPVVlxcDBcXw8/MKy8vR3l5uea1+mxeZWUlKisrzd6vPur+LN1vU8M4qDAOVRgLFcZBhXGowlioGBMHS8TIrARr79692Lp1KwYPHowJEybgkUceQa9evdCtWzd8+umneP75543q58qVK1AoFHB3d9da7u7ujjNnzujdRi6X620vl8s169XLDLUxx+HDh7Fz50588803BtskJSUhMTFRZ/mBAwfg4OBg9r6rk5aWVif9NjWMgwrjUIWxUGEcVBiHKoyFSnVxuHXrVq37NyvBKioqQo8ePQAATk5OmrIMAwcONDinqSnLzs7GqFGjkJCQgLCwMIPtYmNjtc6ulZSUoEuXLggLC7N4YdbKykqkpaVh2LBhOmUyGsp3pwuwbP8ZyEvuet6gkxTzH/dGqI97NVuarzHGoSEwDlUYCxXGQYVxqMJYqBgTB1Pnk+tjVoLVo0cP5ObmomvXrvD29sauXbsQGBiIvXv36r0jzxBXV1dYW1ujoKBAa3lBQQFkMpnebWQyWbXt1f8WFBTAw8NDq01AQIDRY1PLycnB0KFDMWXKFMTFxVXb1s7ODnZ2djrLbWxs6uzDXJd9myI1Ox+vbD8JAQCoer5g3rVyvLL9JDaM61enD3VuLHFoaIxDFcZChXFQYRyqMBYq1cXBEvExa5L7hAkTcPLkSQDA/PnzsX79ekilUsyePRtz5841uh9bW1v0798f6enpmmVKpRLp6ekIDg7Wu01wcLBWe0B1mk/d3tPTEzKZTKtNSUkJMjMzDfZpyG+//YYhQ4YgOjoaS5cuNWnblkShFEjcm/P/yZU29bLEvTlQKPW1ICIian7MOoM1e/Zszf9DQ0Nx5swZHD16FL169ULv3r1N6ismJgbR0dEYMGAAAgMDsWbNGpSWlmLChAkAgPHjx6NTp05ISkoCAMycORODBg3CypUrMXz4cOzYsQNHjhzBBx98AACQSCSYNWsWlixZAi8vL3h6emLhwoXo2LEjIiMjNfvNy8tDUVER8vLyoFAocOLECQBAr1690KZNG2RnZ+Oxxx5DeHg4YmJiNPO3rK2t0aFDB3PC1mxl5RYhv7jM4HoBIL+4DFm5RXzYMxERtQhmJVj36tatG7p162bWtqNHj8bly5cRHx8PuVyOgIAApKamaiap5+Xlwcqq6kRbSEgItm/fjri4OCxYsABeXl5ISUmBn5+fps28efNQWlqKKVOm4Pr16xg4cCBSU1MhlUo1beLj47FlyxbN6759+wIADh48iMGDB+Pzzz/H5cuXsW3bNmzbtk3rWPkMRm2FNwwnV+a0IyIiaupMukT4/fffw9fXV+/kr+LiYjzwwAP48ccfTR7EjBkz8Oeff6K8vByZmZkICgrSrDt06BCSk5O12kdFReHs2bMoLy9HdnY2nnjiCa31EokEixYtglwuR1lZGb777jvcd999Wm2Sk5MhhND5Gjx4MADgzTff1LueyZUuN0dpzY1MaEdERNTUmZRgrVmzBpMnT9Z7R5yzszNefvllrFq1ymKDo6Yh0NMFHs7Su6a2a5MA8HCWItDTcA0xIiKi5sSkBOvkyZOIiIgwuD4sLAxHjx6t9aCoabG2kiBhhC8A6CRZ6tcJI3xhbWUoBSMiImpeTEqwCgoKqr11sVWrVrh8+XKtB0VNT4SfBzaM6weZs/ZlQJmztM5LNBARETU2Jk1y79SpE7Kzs9GrVy+963/99Vet2lPUskT4eWCYrwxZuUUovFEGN0fVZUGeuSIiopbGpATriSeewMKFCxEREaF1Rx4A3L59GwkJCXjyySctOkBqWqytJCzFQERELZ5JCVZcXBy+/PJL3HfffZgxYwbuv/9+AMCZM2ewfv16KBQK/POf/6yTgRIRERE1FSYlWO7u7jh8+DCmTZuG2NhYCPH/D0aRSBAeHo7169frPGSZiIiIqKUxudBot27dsG/fPly7dg3nz5+HEAJeXl5o165dXYyPiIiIqMkxu5J7u3bt8OCDD1pyLNSEKJSCk9mJiIgMsMijcqhlSc3OR+LeHK3nD3o4S5EwwpflGIiIiGBiHSyi1Ox8TNt2TOfhzvLiMkzbdgyp2fkNNDIiIqLGgwkWGU2hFEjcmwOhZ516WeLeHCiU+loQERG1HEywyGhZuUU6Z67uJgDkF5chK7eo/gZFRETUCDHBIqMV3jCcXJnTjoiIqLligkVGc3OU1tzIhHZERETNFRMsMlqgpws8nKUwVIxBAtXdhIGeLvU5LCIiokaHCRYZzdpKgoQRvgCgk2SpXyeM8GU9LCIiavGYYJFJIvw8sGFcP8ictS8Dypyl2DCuH+tgERERgYVGyQwRfh4Y5itjJXciIiIDmGCRWaytJAju2b6hh0FERNQo8RIhERERkYUxwSIiIiKyMCZYRERERBbGOVhkkEIpOJGdiIjIDEywSK/U7Hwk7s3Revagh7MUCSN8WYqBiIioBrxESDpSs/MxbdsxnQc7y4vLMG3bMaRm5zfQyIiIiJoGJlikRaEUSNybA6FnnXpZ4t4cKJT6WhARERHABIvukZVbpHPm6m4CQH5xGbJyi+pvUERERE0MEyzSUnjDcHJlTjsiIqKWiAkWaXFzlNbcyIR2RERELRETLNIS6OkCD2cpDBVjkEB1N2Ggp0t9DouIiKhJYYJFWqytJEgY4QsAOkmW+nXCCF/WwyIiIqoGEyzSEeHngQ3j+kHmrH0ZUOYsxYZx/VgHi4iIqAYsNEp6Rfh5YJivjJXciYiIzMAEiwyytpIguGf7hh4GERFRk8NLhEREREQWxgSLiIiIyMKYYBERERFZGBMsIiIiIgtrFAnW+vXr0b17d0ilUgQFBSErK6va9rt374a3tzekUin8/f2xb98+rfVCCMTHx8PDwwP29vYIDQ3FuXPntNosXboUISEhcHBwQNu2bfXu57XXXkP//v1hZ2eHgICA2hwiERERtSANnmDt3LkTMTExSEhIwLFjx9CnTx+Eh4ejsLBQb/vDhw9j7NixmDRpEo4fP47IyEhERkYiOztb02b58uVYt24dNm7ciMzMTLRu3Rrh4eEoK6t6fl5FRQWioqIwbdq0asc3ceJEjB492jIHS0RERC1CgydYq1atwuTJkzFhwgT4+vpi48aNcHBwwObNm/W2X7t2LSIiIjB37lz4+Phg8eLF6NevH9577z0AqrNXa9asQVxcHEaNGoXevXtj69at+Pvvv5GSkqLpJzExEbNnz4a/v7/Bsa1btw7Tp09Hjx49LHrMRERE1Lw1aB2siooKHD16FLGxsZplVlZWCA0NRUZGht5tMjIyEBMTo7UsPDxckzzl5uZCLpcjNDRUs97Z2RlBQUHIyMjAmDFjLH8g/6+8vBzl5eWa1yUlJQCAyspKVFZWWnRf6v4s3W9TwzioMA5VGAsVxkGFcajCWKgYEwdLxKhBE6wrV65AoVDA3d1da7m7uzvOnDmjdxu5XK63vVwu16xXLzPUpq4kJSUhMTFRZ/mBAwfg4OBQJ/tMS0urk36bGsZBhXGowlioMA4qjEMVxkKlujjcunWr1v2zkrsFxcbGap1dKykpQZcuXRAWFgYnJyeL7quyshJpaWkYNmwYbGxszO7nu9MFWLb/DOQlVfPTZE5SzH/cG6E+7tVs2ThYKg5NHeNQhbFQYRxUGIcqjIWKMXFQX4GqjQZNsFxdXWFtbY2CggKt5QUFBZDJZHq3kclk1bZX/1tQUAAPDw+tNnV9J6CdnR3s7Ox0ltvY2NTZh7k2fadm5+OV7SchAABVzxjMu1aOV7afbFIPdq7LGDcljEMVxkKFcVBhHKowFirVxcES8WnQSe62trbo378/0tPTNcuUSiXS09MRHBysd5vg4GCt9oDqNJ+6vaenJ2QymVabkpISZGZmGuyzJVIoBRL35vx/cqVNvSxxbw4USn0tiIiIqDoNfokwJiYG0dHRGDBgAAIDA7FmzRqUlpZiwoQJAIDx48ejU6dOSEpKAgDMnDkTgwYNwsqVKzF8+HDs2LEDR44cwQcffAAAkEgkmDVrFpYsWQIvLy94enpi4cKF6NixIyIjIzX7zcvLQ1FREfLy8qBQKHDixAkAQK9evdCmTRsAwPnz53Hz5k3I5XLcvn1b08bX1xe2trb1E6A6kpVbhPziMoPrBYD84jJk5Rbxgc9EREQmavAEa/To0bh8+TLi4+Mhl8sREBCA1NRUzST1vLw8WFlVnWgLCQnB9u3bERcXhwULFsDLywspKSnw8/PTtJk3bx5KS0sxZcoUXL9+HQMHDkRqaiqkUqmmTXx8PLZs2aJ53bdvXwDAwYMHMXjwYADASy+9hP/85z86bXJzc9G9e3eLx6I+Fd4wnFyZ046IiIiqNHiCBQAzZszAjBkz9K47dOiQzrKoqChERUUZ7E8ikWDRokVYtGiRwTbJyclITk6udlz69t1cuDlKa25kQjsiIiKq0uCFRqlhBHq6wMNZetfUdm0SAB7OUgR6utTnsIiIiJoFJlgtlLWVBAkjfAFAJ8lSv04Y4QtrK0MpGBERERnCBKsFi/DzwIZx/SBz1r4MKHOWNqkSDURERI1No5iDRXVPoRTIyi1C4Y0yuDmqLv1ZW0kQ4eeBYb4yveuIiIjIPEywWoDU7Hwk7s3RKsvg4SxFwghfRPh5wNpKwlIMREREFsRLhM1canY+pm07plPzSl5chmnbjiE1O7+BRkZERNR8McFqxlitnYiIqGEwwWrGTKnWTkRERJbDBKsZY7V2IiKihsEEqxljtXYiIqKGwQSrGWO1diIioobBBKsZY7V2IiKihsEEq5ljtXYiIqL6x0KjLQCrtRMREdUvJlgtBKu1ExER1R9eIiQiIiKyMCZYRERERBbGBIuIiIjIwphgEREREVkYEywiIiIiC2OCRURERGRhTLCIiIiILIwJFhEREZGFsdBoM6JQClZrJyIiagSYYDUTqdn5SNybg/ziMs0yD2cpEkb48nmDRERE9YyXCJuB1Ox8TNt2TCu5AgB5cRmmbTuG1Oz8BhoZERFRy8QEq4lTKAUS9+ZA6FmnXpa4NwcKpb4WREREVBeYYDVxR/+8pnPm6m4CQH5xGbJyi+pvUERERC0cE6wm7srNcqPaFd4wnIQRERGRZTHBauJc29gZ1c7NUVrHIyEiIiI1JlhNXP9u7eDhLIWhYgwSqO4mDPR0qc9hERERtWhMsJo4aysJEkb4AoBOkqV+nTDCl/WwiIiI6hETrGYgws8DG8b1g8xZ+zKgzFmKDeP6sQ4WERFRPWOh0WYiws8Dw3xlrORORETUCDDBakasrSQI7tm+oYdBRETU4vESIREREZGFMcEiIiIisjAmWEREREQWxgSLiIiIyMIaRYK1fv16dO/eHVKpFEFBQcjKyqq2/e7du+Ht7Q2pVAp/f3/s27dPa70QAvHx8fDw8IC9vT1CQ0Nx7tw5rTZLly5FSEgIHBwc0LZtW737ycvLw/Dhw+Hg4AA3NzfMnTsXd+7cqdWxWoJCKTTPFszKLeKDnImIiBqZBk+wdu7ciZiYGCQkJODYsWPo06cPwsPDUVhYqLf94cOHMXbsWEyaNAnHjx9HZGQkIiMjkZ2drWmzfPlyrFu3Dhs3bkRmZiZat26N8PBwlJVVPY+voqICUVFRmDZtmt79KBQKDB8+HBUVFTh8+DC2bNmC5ORkxMfHWzYAJkrNzsfAt7/HxC3/BQBM3PJfDHz7e6Rm5zfouIiIiKhKgydYq1atwuTJkzFhwgT4+vpi48aNcHBwwObNm/W2X7t2LSIiIjB37lz4+Phg8eLF6NevH9577z0AqrNXa9asQVxcHEaNGoXevXtj69at+Pvvv5GSkqLpJzExEbNnz4a/v7/e/Rw4cAA5OTnYtm0bAgIC8Pjjj2Px4sVYv349KioqLB4HY6Rm52PatmPIL9Z+cLO8uAzTth1jkkVERNRINGiCVVFRgaNHjyI0NFSzzMrKCqGhocjIyNC7TUZGhlZ7AAgPD9e0z83NhVwu12rj7OyMoKAgg30a2o+/vz/c3d219lNSUoLffvvN6H4sRaEUSNybA30XA9XLEvfm8HIhERFRI9CghUavXLkChUKhlcQAgLu7O86cOaN3G7lcrre9XC7XrFcvM9TGGIb2c/c+7lVeXo7y8nLN65KSEgBAZWUlKisrjd63Plm5RSi6eRt21qrXdlZC618AKLp5G7+cL2xRD3ZWx7W28W3qGIcqjIUK46DCOFRhLFSMiYMlYsRK7haUlJSExMREneUHDhyAg4NDrftfHqi7bPEApdbrK6d/wb7Ttd5Vk5OWltbQQ2gUGIcqjIUK46DCOFRhLFSqi8OtW7dq3X+DJliurq6wtrZGQUGB1vKCggLIZDK928hksmrbq/8tKCiAh4eHVpuAgACjxyaTyXTuZlTv19DYYmNjERMTo3ldUlKCLl26ICwsDE5OTkbvW5+s3CLNxHZAdeZq8QAlFh6xQrmy6nmDm6MfbHFnsNLS0jBs2DDY2Ng09HAaDONQhbFQYRxUGIcqjIWKMXFQX4GqjQZNsGxtbdG/f3+kp6cjMjISAKBUKpGeno4ZM2bo3SY4OBjp6emYNWuWZllaWhqCg4MBAJ6enpDJZEhPT9ckVCUlJcjMzDR4x6Ch/SxduhSFhYVwc3PT7MfJyQm+vr56t7Gzs4OdnZ3Ochsbm1p/mB/q5QaXNvaQF5dpzcMqV0pQrpBAAkDmLMVDvdxa5AOeLRHj5oBxqMJYqDAOKoxDFcZCpbo4WCI+DX4XYUxMDDZt2oQtW7bg9OnTmDZtGkpLSzFhwgQAwPjx4xEbG6tpP3PmTKSmpmLlypU4c+YM3nzzTRw5ckSTkEkkEsyaNQtLlizBnj17cOrUKYwfPx4dO3bUJHGAqsbViRMnkJeXB4VCgRMnTuDEiRO4efMmACAsLAy+vr544YUXcPLkSXz77beIi4vD9OnT9SZRdc3aSoKEEarE7t70Sf06YYRvi0yuiIiIGpsGn4M1evRoXL58GfHx8ZDL5QgICEBqaqpmQnleXh6srKrywJCQEGzfvh1xcXFYsGABvLy8kJKSAj8/P02befPmobS0FFOmTMH169cxcOBApKamQiqVatrEx8djy5Ytmtd9+/YFABw8eBCDBw+GtbU1/v3vf2PatGkIDg5G69atER0djUWLFtV1SAyK8PPAhnH9kLg3B0U3b2uWy5ylSBjhiwg/j2q2JiIiovrS4AkWAMyYMcPgJcFDhw7pLIuKikJUVJTB/iQSCRYtWlRtMpScnIzk5ORqx9WtWzedKvENLcLPA8N8ZfjlfCGunP4Fm6MfbLGXBYmIiBqrBr9ESKaztpJoJrIHerowuSIiImpkmGARERERWRgTLCIiIiILY4JFREREZGFMsIiIiIgsjAkWERERkYUxwSIiIiKyMCZYRERERBbGBIuIiIjIwhpFJffmSgjVY5kt8VTue1VWVuLWrVsoKSlp0Q/tZBxUGIcqjIUK46DCOFRhLFSMiYP697b697g5mGDVoRs3bgAAunTp0sAjISIiIlPduHEDzs7OZm0rEbVJz6haSqUSf//9NxwdHSGRWPZxNiUlJejSpQv+97//wcnJyaJ9NyWMgwrjUIWxUGEcVBiHKoyFijFxEELgxo0b6NixI6yszJtNxTNYdcjKygqdO3eu0304OTm16G8UNcZBhXGowlioMA4qjEMVxkKlpjiYe+ZKjZPciYiIiCyMCRYRERGRhTHBaqLs7OyQkJAAOzu7hh5Kg2IcVBiHKoyFCuOgwjhUYSxU6isOnOROREREZGE8g0VERERkYUywiIiIiCyMCRYRERGRhTHBIiIiIrIwJliNVFFREZ5//nk4OTmhbdu2mDRpEm7evFlt+1dffRX3338/7O3t0bVrV7z22msoLi7WapeXl4fhw4fDwcEBbm5umDt3Lu7cuVPXh2M2U+MAAB988AEGDx4MJycnSCQSXL9+XadN9+7dIZFItL6WLVtWR0dhGXUVC3P6bUjmjLesrAzTp09H+/bt0aZNGzz99NMoKCjQanPv50EikWDHjh11eSgmW79+Pbp37w6pVIqgoCBkZWVV23737t3w9vaGVCqFv78/9u3bp7VeCIH4+Hh4eHjA3t4eoaGhOHfuXF0egkVYOg4vvviiznsfERFRl4dgEabE4bfffsPTTz+t+dm3Zs2aWvfZWFg6Dm+++abO58Hb29v0gQlqlCIiIkSfPn3EL7/8In788UfRq1cvMXbsWIPtT506JZ566imxZ88ecf78eZGeni68vLzE008/rWlz584d4efnJ0JDQ8Xx48fFvn37hKurq4iNja2PQzKLqXEQQojVq1eLpKQkkZSUJACIa9eu6bTp1q2bWLRokcjPz9d83bx5s46OwjLqKhbm9NuQzBnv1KlTRZcuXUR6ero4cuSIeOihh0RISIhWGwDi448/1vpM3L59uy4PxSQ7duwQtra2YvPmzeK3334TkydPFm3bthUFBQV62//888/C2tpaLF++XOTk5Ii4uDhhY2MjTp06pWmzbNky4ezsLFJSUsTJkyfFyJEjhaenZ6M67nvVRRyio6NFRESE1ntfVFRUX4dkFlPjkJWVJV5//XXx2WefCZlMJlavXl3rPhuDuohDQkKCeOCBB7Q+D5cvXzZ5bEywGqGcnBwBQPz3v//VLNu/f7+QSCTi0qVLRveza9cuYWtrKyorK4UQQuzbt09YWVkJuVyuabNhwwbh5OQkysvLLXcAFlLbOBw8eLDaBEvfN1ZjVVexsNRnrb6YM97r168LGxsbsXv3bs2y06dPCwAiIyNDswyA+Oqrr+ps7LUVGBgopk+frnmtUChEx44dRVJSkt72zz77rBg+fLjWsqCgIPHyyy8LIYRQKpVCJpOJFStWaNZfv35d2NnZic8++6wOjsAyLB0HIVQJ1qhRo+pkvHXF1DjczdDPv9r02VDqIg4JCQmiT58+tR4bLxE2QhkZGWjbti0GDBigWRYaGgorKytkZmYa3U9xcTGcnJzQqlUrTb/+/v5wd3fXtAkPD0dJSQl+++03yx2AhVgqDoYsW7YM7du3R9++fbFixYpGfam0rmJR1zG2NHPGe/ToUVRWViI0NFSzzNvbG127dkVGRoZW2+nTp8PV1RWBgYHYvHkzRCMpE1hRUYGjR49qHYOVlRVCQ0N1jkEtIyNDqz2g+n5Xt8/NzYVcLtdq4+zsjKCgIIN9NrS6iIPaoUOH4Obmhvvvvx/Tpk3D1atXLX8AFmJOHBqiz7pWl2M+d+4cOnbsiB49euD5559HXl6eyX3wYc+NkFwuh5ubm9ayVq1awcXFBXK53Kg+rly5gsWLF2PKlCla/d6dXAHQvDa23/pkiTgY8tprr6Ffv35wcXHB4cOHERsbi/z8fKxatapW/daVuopFXca4LpgzXrlcDltbW7Rt21Zrubu7u9Y2ixYtwmOPPQYHBwccOHAAr7zyCm7evInXXnvN4sdhqitXrkChUOj9/j1z5ozebQx9v6uPWf1vdW0am7qIAwBERETgqaeegqenJy5cuIAFCxbg8ccfR0ZGBqytrS1/ILVkThwaos+6VldjDgoKQnJyMu6//37k5+cjMTERjzzyCLKzs+Ho6Gh0P0yw6tH8+fPx9ttvV9vm9OnTtd5PSUkJhg8fDl9fX7z55pu17s/S6isO1YmJidH8v3fv3rC1tcXLL7+MpKSken2MRGOIRWPQGOKwcOFCzf/79u2L0tJSrFixolEkWFS3xowZo/m/v78/evfujZ49e+LQoUMYOnRoA46MGsLjjz+u+X/v3r0RFBSEbt26YdeuXZg0aZLR/TDBqkdz5szBiy++WG2bHj16QCaTobCwUGv5nTt3UFRUBJlMVu32N27cQEREBBwdHfHVV1/BxsZGs04mk+ncXaG+k6qmfi2pPuJgqqCgINy5cwd//PEH7r//fov2XZ2GjkV9xrg6dRkHmUyGiooKXL9+XessVkFBQbXHGBQUhMWLF6O8vLzBn93m6uoKa2trnTsfqzsGmUxWbXv1vwUFBfDw8NBqExAQYMHRW05dxEGfHj16wNXVFefPn2+UCZY5cWiIPutafY25bdu2uO+++3D+/HmTtuMcrHrUoUMHeHt7V/tla2uL4OBgXL9+HUePHtVs+/3330OpVCIoKMhg/yUlJQgLC4OtrS327NkDqVSqtT44OBinTp3S+gWVlpYGJycn+Pr6Wv6ADajrOJjjxIkTsLKy0rn8VNcaOhb1GePq1GUc+vfvDxsbG6Snp2uWnT17Fnl5eQgODjY4phMnTqBdu3YNnlwBgK2tLfr37691DEqlEunp6QaPITg4WKs9oPp+V7f39PSETCbTalNSUoLMzMxq49KQ6iIO+vz111+4evWqVuLZmJgTh4bos67V15hv3ryJCxcumP55qPU0eaoTERERom/fviIzM1P89NNPwsvLS+tW9L/++kvcf//9IjMzUwghRHFxsQgKChL+/v7i/PnzWreX3rlzRwhRVaYhLCxMnDhxQqSmpooOHTo0+jINpsRBCCHy8/PF8ePHxaZNmwQA8cMPP4jjx4+Lq1evCiGEOHz4sFi9erU4ceKEuHDhgti2bZvo0KGDGD9+fL0fnynqIhbG9NvYmBOHqVOniq5du4rvv/9eHDlyRAQHB4vg4GDN+j179ohNmzaJU6dOiXPnzol//etfwsHBQcTHx9frsVVnx44dws7OTiQnJ4ucnBwxZcoU0bZtW81dwS+88IKYP3++pv3PP/8sWrVqJd555x1x+vRpkZCQoLdMQ9u2bcXXX38tfv31VzFq1KgmUabBknG4ceOGeP3110VGRobIzc0V3333nejXr5/w8vISZWVlDXKMxjA1DuXl5eL48ePi+PHjwsPDQ7z++uvi+PHj4ty5c0b32RjVRRzmzJkjDh06JHJzc8XPP/8sQkNDhaurqygsLDRpbEywGqmrV6+KsWPHijZt2ggnJycxYcIEcePGDc363NxcAUAcPHhQCFF1G76+r9zcXM12f/zxh3j88ceFvb29cHV1FXPmzNGUcWiMTI2DEKpbbPXF4eOPPxZCCHH06FERFBQknJ2dhVQqFT4+PuKtt95q1D9MhaibWBjTb2NjThxu374tXnnlFdGuXTvh4OAg/vGPf4j8/HzN+v3794uAgADRpk0b0bp1a9GnTx+xceNGoVAo6vPQavTuu++Krl27CltbWxEYGCh++eUXzbpBgwaJ6Ohorfa7du0S9913n7C1tRUPPPCA+Oabb7TWK5VKsXDhQuHu7i7s7OzE0KFDxdmzZ+vjUGrFknG4deuWCAsLEx06dBA2NjaiW7duYvLkyY06qVAzJQ7q74t7vwYNGmR0n42VpeMwevRo4eHhIWxtbUWnTp3E6NGjxfnz500el0SIRnIfMhEREVEzwTlYRERERBbGBIuIiIjIwphgEREREVkYEywiIiIiC2OCRURERGRhTLCIiIiILIwJFhEREZGFMcEiIiIisjAmWEREREQWxgSLiOrd4MGDMWvWrIYeRo2ayjirc/XqVbi5ueGPP/6oVT9jxozBypUrLTMoohaAj8ohIot58cUXsWXLFgBAq1at4OLigt69e2Ps2LF48cUXYWWl+puuqKgINjY2cHR0rLHPwYMHIyAgAGvWrKnLoetlyjgbq5iYGNy4cQObNm2qVT/Z2dl49NFHkZubC2dnZwuNjqj54hksIrKoiIgI5Ofn448//sD+/fsxZMgQzJw5E08++STu3LkDAHBxcWkSSUtTGacht27dwkcffYRJkybVui8/Pz/07NkT27Zts8DIiJo/JlhEZFF2dnaQyWTo1KkT+vXrhwULFuDrr7/G/v37kZycDED30tvnn38Of39/2Nvbo3379ggNDUVpaSlefPFF/Oc//8HatWshkUggkUg0l7pSU1MxcOBAtG3bFu3bt8eTTz6JCxcuaPocPHgwXnvtNcybNw8uLi6QyWR48803tcaqVCqxfPly9OrVC3Z2dujatSuWLl2q1Yd6nDXtTx9ztnnrrbc0x3r3lzln8Pbt2wc7Ozs89NBDWsf06quvYtasWWjXrh3c3d2xadMmlJaWYsKECXB0dESvXr2wf/9+nf5GjBiBHTt2mDwOopaICRYR1bnHHnsMffr0wZdffqmzLj8/H2PHjsXEiRNx+vRpHDp0CE899RSEEFi7di2Cg4MxefJk5OfnIz8/H126dAEAlJaWIiYmBkeOHEF6ejqsrKzwj3/8A0qlUtP3li1b0Lp1a2RmZmL58uVYtGgR0tLSNOtjY2OxbNkyLFy4EDk5Odi+fTvc3d31HoMx+7PENq+++qrmWPPz8zF58mR069YNzzzzTI1xvtePP/6I/v376yzfsmULXF1dkZWVhVdffRXTpk1DVFQUQkJCcOzYMYSFheGFF17ArVu3tLYLDAxEVlYWysvLTR4LUYsjiIgsJDo6WowaNUrvutGjRwsfHx8hhBCDBg0SM2fOFEIIcfToUQFA/PHHH3q3u7ttdS5fviwAiFOnTmm2GzhwoFabBx98ULzxxhtCCCFKSkqEnZ2d2LRpk8E+q9v3vfszhqnbxMXFiW7duonc3FzNsr1794r77rtP9OrVq9qxCyHEqFGjxMSJE7WW3RuXO3fuiNatW4sXXnhBsyw/P18AEBkZGVrbnjx5str3ioiq8AwWEdULIQQkEonO8j59+mDo0KHw9/dHVFQUNm3ahGvXrtXY37lz5zB27Fj06NEDTk5O6N69OwAgLy9P06Z3795a23h4eKCwsBAAcPr0aZSXl2Po0KFGjd+Y/VliG7X4+Hh88sknOHTokGa7O3fuICYmBt9//z2OHz+OFStW4OrVqwb7uH37NqRSqc7yu+NibW2N9u3bw9/fX7NMfRZPHSs1e3t7ANA5s0VEuphgEVG9OH36NDw9PXWWW1tbIy0tDfv374evry/effdd3H///cjNza22vxEjRqCoqAibNm1CZmYmMjMzAQAVFRWaNjY2NlrbSCQSzeU5dbJgLGP2Z4ltACAhIQFbt27VSq4AICsrCw888AA6deqENm3a4PHHH8eBAwcM9uPq6qo3WdUXl7uXqRPhey9lFhUVAQA6dOhQ7fiJiAkWEdWD77//HqdOncLTTz+td71EIsHDDz+MxMREHD9+HLa2tvjqq68AALa2tlAoFFrtr169irNnzyIuLg5Dhw6Fj4+PUWe97ubl5QV7e3ukp6fX2Nac/Zk7xoSEBGzZskUnuQKAv//+G506ddK87tSpEy5dumSwr759+yInJ6fGfRorOzsbnTt3hqurq8X6JGquWjX0AIioeSkvL4dcLodCoUBBQQFSU1ORlJSEJ598EuPHj9dpn5mZifT0dISFhcHNzQ2ZmZm4fPkyfHx8AADdu3dHZmYm/vjjD7Rp0wYuLi5o164d2rdvjw8++AAeHh7Iy8vD/PnzTRqnVCrFG2+8gXnz5sHW1hYPP/wwLl++jN9++02nrIE5+zNnmyVLlmDDhg3Ys2cPpFIp5HK5pi87OzuTjg8AwsPDERsbi2vXrqFdu3Ymb3+vH3/8EWFhYbXuh6gl4BksIrKo1NRUeHh4oHv37oiIiMDBgwexbt06fP3117C2ttZp7+TkhB9++AFPPPEE7rvvPsTFxWHlypV4/PHHAQCvv/46rK2t4evriw4dOiAvLw9WVlbYsWMHjh49Cj8/P8yePRsrVqwweawLFy7EnDlzEB8fDx8fH4wePVpn3hEAs/Zn6jZCCKxYsQKXL19GcHAwPDw8NF+//vorAKBjx45aZ6wuXbqEjh07GuzT398f/fr1w65du2oKRY3KysqQkpKCyZMn17ovopaAldyJiJqIO3fuwMfHB4cOHYKzszP69++Pw4cPo3379ga3+eabbzB37lxkZ2drKumbY8OGDfjqq6+qnfNFRFV4iZCIqIlo1aoVVq5ciSFDhkCpVGLevHnVJlcAMHz4cJw7dw6XLl3S1BAzh42NDd59912ztydqaXgGi4iIiMjCOAeLiIiIyMKYYBERERFZGBMsIiIiIgtjgkVERERkYUywiIiIiCyMCRYRERGRhTHBIiIiIrIwJlhEREREFsYEi4iIiMjCmGARERERWRgTLCIiIiILY4JFREREZGH/ByEaiWR1r+lvAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Incertidumbre Comparada: 5.7637182420111024e-05 T\n",
      "Incertidumbre Propagacion Errores: 6.155626154047318e-06 T\n",
      "Incertidumbre Maquina: 2e-05 T\n",
      "Incertidumbre: 6.131832132957936e-05 T\n"
     ]
    }
   ],
   "source": [
    "# Datos experimentales\n",
    "A = [[1.67, 1.67, 1.67, 1.67, 1.67, 1.67, 1.67, 1.67, 1.67, 1.67, 1.66, 1.67, 1.65, 1.65, 1.64, 1.64, 1.63, 1.61, 1.60, 1.59, 1.57, 1.55, 1.53, 1.51, 1.49,\n",
    "     1.44, 1.41, 1.38, 1.35, 1.33, 1.29, 1.26, 1.23, 1.19, 1.16, 1.13, 1.09, 1.07, 1.03, 1.00],\n",
    "     #Empiezan positivos de z\n",
    "     [1.67, 1.67, 1.67, 1.67, 1.66, 1.67, 1.67, 1.67, 1.67, 1.67, 1.67, 1.66, 1.66, 1.65, 1.65, 1.65, 1.64, 1.63, 1.63, 1.62, 1.60, 1.59, 1.58, 1.56, 1.54, \n",
    "      1.54, 1.52, 1.50, 1.47]\n",
    "     ]\n",
    "x = [0.01*0.5*i for i in range(-len(A[0]), len(A[1]))]\n",
    "\n",
    "z0 = 84.2\n",
    "\n",
    "B = [1.0, 1.03, 1.07, 1.09, 1.13, 1.16, 1.19, 1.23, 1.26, 1.29, 1.33, 1.35, 1.38, 1.41, 1.44, 1.49, 1.51, 1.53, 1.55, 1.57, 1.59, 1.6, 1.61, 1.63, 1.64, 1.64, 1.65, 1.65, 1.67, 1.66, 1.67, 1.67, 1.67, 1.67, 1.67, 1.67, 1.67, 1.67, 1.67, 1.67, 1.67, 1.67, 1.67, 1.67, 1.66, 1.67, 1.67, 1.67, 1.67, 1.67, 1.67, 1.66, 1.66, 1.65, 1.65, 1.65, 1.64, 1.63, 1.63, 1.62, 1.60, 1.59, 1.58, 1.56, 1.54, \n",
    "      1.54, 1.52, 1.50, 1.47]\n",
    "B = [0.001*j for j in B]\n",
    "B_ex = B\n",
    "\n",
    "title = \"Campo Magnético en función de Z para a = 0.2m\"\n",
    "graficar_con_z0(x, B, title)\n",
    "\n",
    "# Datos teóricos\n",
    "R = 0.2\n",
    "a = R\n",
    "\n",
    "B = campo_magnetico_teorico(mu, I, N, R, x, a)\n",
    "graficar_con_z0(x, B, title)\n",
    "\n",
    "# Incertidumbre comparada a los valores esperados\n",
    "s_comparada = s_teorico(B, B_ex)\n",
    "print(f\"Incertidumbre Comparada: {s_comparada} T\")\n",
    "\n",
    "# Incertidumbre propagacion errores\n",
    "s_propagacion = propagacion_errores(sI, sZ, mu, N, R, a, x)\n",
    "print(f\"Incertidumbre Propagacion Errores: {s_propagacion} T\")\n",
    "\n",
    "# Incertidumbre maquina\n",
    "sB = 0.02 *10**-3\n",
    "print(f\"Incertidumbre Maquina: {sB} T\")\n",
    "\n",
    "# Media cuadrada de incertidumbres\n",
    "media_cuadrada = math.sqrt(s_comparada**2 + s_propagacion**2 + sB**2)\n",
    "print(f\"Incertidumbre: {media_cuadrada} T\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Para a = 0.1m"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Incertidumbre Comparada: 5.008154205504788e-05 T\n",
      "Incertidumbre Propagacion Errores: 6.307974156395048e-06 T\n",
      "Incertidumbre Maquina: 2e-05 T\n",
      "Incertidumbre: 5.4295040220717e-05 T\n"
     ]
    }
   ],
   "source": [
    "# Datos experimentales\n",
    "A = [[2.13, 2.13, 2.12, 2.12, 2.11, 2.10, 2.08, 2.07, 2.05, 2.03, 2.00, 1.97, 1.94, 1.91, 1.88, 1.85, 1.80, 1.77, 1.73, 1.69, 1.64, 1.60, 1.56, 1.53, 1.49,\n",
    "      1.44, 1.38, 1.35, 1.28, 1.26, 1.22],\n",
    "     # comienzan positivos\n",
    "     [2.14, 2.13, 2.13, 2.14, 2.13, 2.13, 2.11, 2.10, 2.08, 2.06, 2.05, 2.02, 2.00, 1.98, 1.95, 1.92, 1.89, 1.85, 1.82, 1.79, 1.75, 1.73, 1.69, 1.67, 1.62,\n",
    "      1.58, 1.54, 1.49, 1.46, 1.41, 1.37]]\n",
    "x = [0.01*0.5*i for i in range(-len(A[0]), len(A[1]))]\n",
    "\n",
    "z0 = 48.7\n",
    "\n",
    "B = [1.22, 1.26, 1.28, 1.35, 1.38, 1.44, 1.49, 1.53, 1.56, 1.6, 1.64, 1.69, 1.73, 1.77, 1.8, 1.85, 1.88, 1.91, 1.94, 1.97, 2.0, 2.03, 2.05, 2.07, 2.08, 2.1, 2.11, 2.12, 2.12, 2.13, 2.13, 2.14, 2.13, 2.13, 2.14, 2.13, 2.13, 2.11, 2.10, 2.08, 2.06, 2.05, 2.02, 2.00, 1.98, 1.95, 1.92, 1.89, 1.85, 1.82, 1.79, 1.75, 1.73, 1.69, 1.67, 1.62,\n",
    "      1.58, 1.54, 1.49, 1.46, 1.41, 1.37]\n",
    "B = [j*(10**-3) for j in B]\n",
    "B_ex = B\n",
    "\n",
    "title = \"Campo Magnético en función de Z para a = 0.1m\"\n",
    "\n",
    "graficar_con_z0(x, B_ex, title)\n",
    "\n",
    "# Datos teóricos\n",
    "R = 0.2\n",
    "a = R*0.5\n",
    "\n",
    "B = campo_magnetico_teorico(mu, I, N, R, x, a)\n",
    "graficar_con_z0(x, B, title)\n",
    "\n",
    "# Incertidumbre comparada a los valores esperados\n",
    "s_comparada = s_teorico(B, B_ex)\n",
    "print(f\"Incertidumbre Comparada: {s_comparada} T\")\n",
    "\n",
    "# Incertidumbre propagacion errores\n",
    "s_propagacion = propagacion_errores(sI, sZ, mu, N, R, a, x)\n",
    "print(f\"Incertidumbre Propagacion Errores: {s_propagacion} T\")\n",
    "\n",
    "# Incertidumbre maquina\n",
    "sB = 0.02 *10**-3\n",
    "print(f\"Incertidumbre Maquina: {sB} T\")\n",
    "\n",
    "# Media cuadrada de incertidumbres\n",
    "media_cuadrada = math.sqrt(s_comparada**2 + s_propagacion**2 + sB**2)\n",
    "print(f\"Incertidumbre: {media_cuadrada} T\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Para a = 0.4m"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Ox/z8889ITExEamoq7t27p7IvPz8f3t7eyr8rBlAAlPuCg4M1br99+7bKdgcHB7WBsoo8QIqxQteuXUODBg3UAsSIiAjlfl0pxmV8/vnnOHfuHDp06ICwsDCNU8jLysqwatUqvP/++8jIyFAZ/1KvXj3l/1+7dg1NmjRR+6INCwvTWIdHHnlErWzdunXx3//+V/n3lStXcOnSJdSvX1/jOW7cuFFtWytLT08HALRo0UJrGcW1bNasmdq+5s2b46effqryMa5cuYL//ve/Ote78utHEWhVfp2YSuXHV9RB8fg3b95EQUFBlddME32vo1QqVbtmFetR3eOEh4erbK9fv75K0Aro/9xos2TJEhw4cAAzZ85ETEyMTsdUVLmuEolE7T2YmZmJhIQE7N27V+0aVP6BV6dOHTzyyCNqj6PPOSrT9b2vTbt27aotowtFgKhpdp9idnPFILKyY8eOYevWrUhJSVEGi1XR9Dr09vbW+Jnl7e1da+9TS8HgipS8vLzQoEEDpKWl6VQ+PT0dvXr1QvPmzbF8+XIEBwfD2dkZ+/btw4oVK9QGvmqbjaZtu9BjALopuLi44Omnn8aWLVuUGbO1WbRoEebMmYPRo0djwYIF8PX1hYODAyZNmmTwAGBAt2tTVlaGqKgoLF++XGPZysGrpSgrK0Pv3r21/iKvnEDT2K8TbXeStA0Mt5TXaW3M6tT3udEkNTUVc+bMQefOnTF//nxjVxFA+XPVu3dv5OXl4c0330Tz5s3h7u6O69evY+TIkWrvvYp3mQw9R2U1fe/n5eUpJztUxdXVVeXHamWKCUhZWVlq+7KysuDr61tlqpXp06fj8ccfR2hoqDJ4zc3NVR6fmZmp8gPD2j7PaxuDK1LRr18/bNiwAampqSpdeJp88803KC4uxt69e1XedIZ0Q+mirKwMv//+u8oH+2+//QYAyllfjRo1wnfffYe7d++q3L26fPmycr8+nn/+eXz88cdwcHDA0KFDtZb74osv0KNHD3z00Ucq2+/cuQM/Pz/l340aNcLFixchhFD5cr969ape9aqoSZMmOH/+PHr16lVt0kldk1Iqur/S0tK03lVTXMtff/1V2QWp8Ouvv1Z7rZs0aYLCwkKD7mgYQ926dVVmgyroc3ezovr168PLy0vnHycKNb2O+j7OlStXVO4A37x5U+2uQk2fm9u3b2Po0KHw8PDA9u3bUaeOYV81V65cUflbCIGrV6+iZcuWAMpnpf3222/YsmULRowYoSyXnJys82PU9By6vve1efrpp/H9999XWy4+Ph6bN2/Wuj8oKAj169fXmPDzxIkTaN26dZXnz8zMxLVr1xAaGqq2b8CAAfD29tb4fiHNOOaKVEyfPh3u7u54+eWXkZOTo7Y/PT0dq1atAvDPL5SKv0jy8/OxadMmk9VvzZo1yv8XQmDNmjVwcnJCr169AJR35cnlcpVyALBixQpIJBI8+eSTej1ejx49sGDBAqxZswYymUxrOUdHR7VfZrt27VKbSh8XF4fr169j7969ym0PHjzAxo0b9apXRc899xyuX7+u8Rz3799HUVGR8m93d3edPiBjY2Ph6emJxYsXqyVMVbSzffv28Pf3x/r161W6Ivbv349Lly6hb9++1dY7NTUVBw4cUNt3584dPHz4sNp61kSTJk2Qn5+v0sWalZWFr7/+2qDzOTg4YNCgQfjmm280fsFp++Ve0+uoq5iYGDg5OWH16tUqdVm5cqVa2Zo+N6NHj0ZmZiY++uijGgWHn3zyicowhS+++AJZWVnK97GmzyAhhPIzShc1PYeu731tjDXmCgCeeeYZ/Oc//1FJV5GSkoLffvsNgwcPVm4rLS3F5cuXVe5ybdiwAV9//bXKv9deew0A8O677+LTTz/VqT1UjneuSEWTJk2wfft2DBkyBBERESoZ2o8ePYpdu3YpcyPFxsbC2dkZ/fv3xyuvvILCwkJs3LgR/v7+Gm9N15RUKkVSUhLi4+PRqVMn7N+/H99++y1mzZql7Pvv378/evTogX//+9/4448/0KpVKxw8eBB79uzBpEmTtOZt0cbBwQGzZ8+utly/fv0wf/58jBo1Cp07d8Yvv/yCTz/9VG2M2CuvvII1a9Zg2LBhmDhxIgIDA5VZ3wHd7yxV9OKLL2Lnzp0YN24cDh8+jC5dukAul+Py5cvYuXMnDhw4oBxg3a5dO3z33XdYvnw5GjRogNDQUI05h7y8vLBixQq8/PLL6NChA55//nnUrVsX58+fx71797BlyxY4OTlhyZIlGDVqFLp164Zhw4YhJycHq1atQkhICCZPnlxlvadNm4a9e/eiX79+GDlyJNq1a4eioiL88ssv+OKLL/DHH3/o9MvfUEOHDsWbb76Jf/3rX3j99ddx7949rFu3Dk2bNtVpILImixYtwsGDB9GtWzeMHTsWERERyMrKwq5du/DTTz9pTGRa0+uoK0U+rMWLF6Nfv3546qmncPbsWezfv1/tOtfkuVm/fj12796Nli1b4t69e9i2bZvGcr1790ZAQECVdfb19UXXrl0xatQo5OTkYOXKlQgLC1NOAGnevDmaNGmCN954A9evX4eXlxe+/PJLvcb31PQcur73tTHWmCsAmDVrFnbt2oUePXpg4sSJKCwsxDvvvIOoqCiMGjVKWe769euIiIhQuRsWGxurdj7FD7Fu3bpZ9JJRFqk2pyaS9fjtt9/EmDFjREhIiHB2dhaenp6iS5cuYvXq1SrTeffu3StatmwppFKpCAkJEUuWLBEff/yxWs6kRo0aib59+6o9DgDx6quvqmzTNHVekSIhPT1dmdMpICBAJCYmqk2Dvnv3rpg8ebJo0KCBcHJyEuHh4eKdd97RKb9OxVQM2mhLxTB16lQRGBgoXF1dRZcuXURqaqro1q2b6Natm8rxv//+u+jbt69wdXUV9evXF1OnThVffvmlACCOHTumLNetWzfx6KOPaqxj5RQCJSUlYsmSJeLRRx8VLi4uom7duqJdu3Zi3rx5Ij8/X1nu8uXL4oknnhCurq4q07s15bkSovz57dy5s3B1dRVeXl6iY8eO4rPPPlMp8/nnn4s2bdoIFxcX4evrK4YPHy7++uuvKq+hwt27d8XMmTNFWFiYcHZ2Fn5+fqJz587i3XffVeav0pZKQQih0xTvqo4/ePCgaNGihXB2dhbNmjUT27Zt05qKofLrVIjy13XlKfLXrl0TI0aMEPXr1xcuLi6icePG4tVXXxXFxcVCCM15roTQ7Tpqe31qqrMmcrlczJs3T/k67d69u0hLS9PYDl2eG00U0/Sr+1e5/RUprtFnn30mZs6cKfz9/YWrq6vo27evWmqEixcvipiYGOHh4SH8/PzEmDFjlGkyNm3aVO210+ccmujz3q8NaWlpys9IHx8fMXz4cJGdna1SRvGeqC69Q1WpGDRdS22fWdo+/22ZRAg7G2VGVmnkyJH44osvUFhYaO6qmMTKlSsxefJk/PXXXwgKCjJ3dYjM6siRI+jRowd27dqFZ5991tzVIdIbx1wR1bLKuWYePHiADz74AOHh4QysiIhsAMdcEdWyp59+Gg0bNkTr1q2Rn5+Pbdu24fLlyxwwSkRkIxhcEdWyuLg4fPjhh/j0008hl8sRGRmJHTt2YMiQIeauGhERGQHHXBEREREZEcdcERERERkRgysiIiIiI2JwRURERGREHNBuQmVlZfj777/h6elpUOZtIiIiqn1CCNy9excNGjRQW+xbFwyuTOjvv/9GcHCwuatBREREBvjzzz/xyCOP6H0cgysT8vT0BFD+5Hh5eZm5NtqVlpbi4MGDiI2NhZOTk7mrU6vsue2AfbffntsO2Hf77bntgH23X9e2FxQUIDg4WPk9ri8GVyak6Ar08vKy+ODKzc0NXl5edvlGs9e2A/bdfntuO2Df7bfntgP23X59227okB4OaCciIiIyIgZXREREREbE4IqIiIjIiBhcERERERkRgysiIiIiI2JwRURERGREDK6IiIiIjIjBFREREZERMbgiIiIiMiJmaCciFfIygRMZebhx9wH8PaXoGOoLRweJ1u1ERKSKwRWRnVIESwBwIiMPj4X5I/liNuZ9cxFZ+Q+U5QK9pRjQKhB7z2epbU/sH4k+LQIZeBERVcDgisgOJaVlYd43F5FXeB9LOwKjt5yEq4sz7twrVSublf8AH/yQobY9O/8Bxm87g7FPhFYZeBER2RuOuSKyM0lpWRi/7YxKMARAY2BVFfG/fx/8kKF2LkXglZSWVcPaEhFZH965IrJhlbvr2jWqi3nfXIQw8eMKABIAc/degKfUCbmFxewuJCK7weCKyEYpuv4q3lXydXdCXpF+d6gMJQBkFxRj+IfHldvYXUhE9oDdgkQ2SFvXX20FVtqwu5CI7AGDKyIbIy8TtdL1ZwhFneZ9cxHyMkusIRFRzbFbkMjGnMjIU7tjZUkEymcgHku/BQcHCdM3EJHNYXBFZAMqDly/klNo0DkkKA98fNycVGYOVpXnakCrQGz4X5oGfe9Dvbr9DO7cV30cjsciIlvA4IrIymkauK4LX3dnFD0oVv4t+19w0ztSpjEh6PQ+ERq3t2lY16DHrxhYAf+Mx1r3QlsGWERk1RhcEVkxxcB1fe4aSVAeSH0/rQdO/n4TuZeO4eP4DngszF/ZLRfdpJ7acY4OEo3b+7QIVAnI/NxdMHXXeeQUPNCrXor0DfO+uYjekTJ2ERKR1eKAdiIrZcjAdUW4ktg/Es51HNAx1BcAajzeSRF4DWwdhC7hfpg7IFLl8XSlGI+lWJaHiMgaMbgislKGDFyXeUtrpdutT4tArHuhLWTeUpXtPq5OOh1/467lDsgnIqqORQRXa9euRUhICKRSKTp16oQTJ05UWX7Xrl1o3rw5pFIpoqKisG/fPpX9QggkJCQgMDAQrq6uiImJwZUrV1TKvPXWW+jcuTPc3Nzg4+Oj9hi3bt1Cnz590KBBA7i4uCA4OBgTJkxAQUFBjdtLZAy6BiATejTBqqGt8dmYx/DTmz1rbTxTnxaB+OnNnvhszGPKx187vK1Ox+beLcaec9eRmn6LKRuIyOqYPbj6/PPPMWXKFCQmJuLMmTNo1aoV4uLicOPGDY3ljx49imHDhuGll17C2bNnMWjQIAwaNAhpaWnKMkuXLsV7772H9evX4/jx43B3d0dcXBwePPjny6ikpASDBw/G+PHjNT6Og4MDBg4ciL179+K3337D5s2b8d1332HcuHHGvQBEepCXCaSm38Kec9eRe7e4+gMAdAmrj4GtgxDdpF6tj2Oq2F0Y3aQeHmtcD4He0iq7Cx0kwIJvL2HijnMYtvEYui45xKSjRGRVzB5cLV++HGPGjMGoUaMQGRmJ9evXw83NDR9//LHG8qtWrUKfPn0wbdo0REREYMGCBWjbti3WrFkDoPyu1cqVKzF79mwMHDgQLVu2xCeffIK///4bu3fvVp5n3rx5mDx5MqKiojQ+Tt26dTF+/Hi0b98ejRo1Qq9evfB///d/+PHHH41+DYh0kZSWha5LDmHYxmOYuOMcFnx7CVXFShKUpzdQjKuyBI4OEiT2r3o8VuUbVczqTkTWxqzBVUlJCU6fPo2YmBjlNgcHB8TExCA1NVXjMampqSrlASAuLk5ZPiMjA9nZ2SplvL290alTJ63n1MXff/+Nr776Ct26dTP4HESG0racjbYes4oD1y1t1p228Vjaqsms7kRkbcyaiiE3NxdyuRwBAQEq2wMCAnD58mWNx2RnZ2ssn52drdyv2KatjD6GDRuGPXv24P79++jfvz8+/PBDrWWLi4tRXPxPV41ifFZpaSlKS827pltVFHWz5DqaijW0XV4msPjbC3B21B5YOEhUAy2ZlxQznmyOXs38qmybudrfq5kfuoc/jtPXbiO3sBi3Coux5MCvVR6TV3gfx67eMNqdOGt47k3Jnttvz20H7Lv9ura9pteGea6qsWLFCiQmJuK3337DzJkzMWXKFLz//vsayy5evBjz5s1T237w4EG4ubmZuqo1lpycbO4qmI2lt31Kc32PKEJJxmnsy9CttLnbXw/A0o7Vl8u9dAz7Lhn3sc3ddnOz5/bbc9sB+25/dW2/d+9ejc5v1uDKz88Pjo6OyMnJUdmek5MDmUym8RiZTFZlecV/c3JyEBgYqFKmdevWetdRJpNBJpOhefPm8PX1xeOPP445c+aonFtBEXwpFBQUIDg4GLGxsfDy8tL7sWtLaWkpkpOT0bt3bzg56TZV3lZYQ9v3/ZKF6V/+t9pyS59piaei9JsJaCntP5GRh9FbTlZb7uP4Dka9c2UJbTcXe26/PbcdsO/269r2mmYGMGtw5ezsjHbt2iElJQWDBg0CAJSVlSElJQUTJkzQeEx0dDRSUlIwadIk5bbk5GRER0cDAEJDQyGTyZCSkqIMpgoKCnD8+HGtMwN1VVZWBgAqXX8Vubi4wMXFRW27k5OTVbyAraWepmDJbff3dkexvPpxU/7e7ga3wdztfyzMH74ersjO15zVXQIgwMsFcHDEvgs3jLrQs7nbbm723H57bjtg3+2vru01vS5m7xacMmUK4uPj0b59e3Ts2BErV65EUVERRo0aBQAYMWIEgoKCsHjxYgDAxIkT0a1bNyxbtgx9+/bFjh07cOrUKWzYsAEAIJFIMGnSJCxcuBDh4eEIDQ3FnDlz0KBBA2UABwCZmZnIy8tDZmYm5HI5zp07BwAICwuDh4cH9u3bh5ycHHTo0AEeHh64cOECpk2bhi5duiAkJKQ2LxHZmYqLMPt7StGuUV0EekurDDxkFjYrUF+KWYTjt51RLiCtoPj7wcMyDP/wuHI7F3omIktl9uBqyJAhuHnzJhISEpCdnY3WrVsjKSlJOSA9MzMTDg7/TGrs3Lkztm/fjtmzZ2PWrFkIDw/H7t270aJFC2WZ6dOno6ioCGPHjsWdO3fQtWtXJCUlQSr9Z3ZSQkICtmzZovy7TZs2AIDDhw+je/fucHV1xcaNGzF58mQUFxcjODgYTz/9NGbMmGHqS0J2TNMizIHeUgxoFYgNP2RoDDwAy5wVqC/FLMLK7fd2c8Kde6W4c48LPRORdTB7cAUAEyZM0NoNeOTIEbVtgwcPxuDBg7WeTyKRYP78+Zg/f77WMps3b8bmzZu17u/RoweOHj2qdT+RsWlbhDk7/wE2/JCBsU+EYu/5LJXAQ2Zjd2+0LQINqM/c4ULPRGSpLCK4IrJ3VS3CrAgi9p7PwvfTeuD0tdvKLkNjjTuyJIqs7gCQmn4L2QXal/mpuNCz4hgiInNjcEVkAapbhFkRRJy+dtuugghd10/kQs9EZEnMvvwNETGI0MbfU1p9IT3KERHVBgZXRBaAQYRmHUN9q1zo2RLXTyQiYnBFZAEYRGhW1ULPFWdKAuXjs/acu47U9Ftcg5CIzIpjrogsQHV5ngDbSLdgCG0pGhQzJQGg65JDaukrbGkWJRFZFwZXRGZSOVlo70hZlUGEPQcKlVM0KGZKJl/M1pq+gjmwiMhcGFwRmYG2ZKGJ/SPx05s91YIIe7xjVVnFFA2AbukrmAOLiMyBwRVRLasqWSjvtuhO1/QVzIFFRLWNA9qJalF1d1uA8rstHJBdPaavICJLxeCKqBbpc7eFqsb0FURkqRhcEdUi3m0xHqavICJLxeCKqBbxbovx6JoDi4PZiai2MbgiqkW822JcihxYMm/VYFTmLcW6F9qid6SMyUWJqNZxtiBRLWKyUOOrKgcWk4sSkTnwzhVRLavubgu/+PWnyIE1sHUQopvUUyYXrTx5QJHuIikty0w1JSJ7wDtXRGag7W4L71jVnK7JRbuHP17LNSMie8HgisjEKi9zowiiKmccJ+PQNd3F6Wu3a69SRGRXGFwRmVBVy9yw+880dE1jkVtYbOKaEJG94pgrIhNRLHPDcT+1S9c0Fn4eLiauCRHZKwZXRCbAZW7MR9d0F+0a1a3NahGRHWFwRWQCXObGfJhclIjMjcEVkQlwmRvzYroLIjInDmgnMgEuc2N+VaW7UMzgBMrvMj4W5s87WURkNAyuiExAMe4nO/+BxnFXEpTfReEyN6alKd2FYgZnXuF9LO0IjN5yEr4erpzBSURGw25BIhPguB/LxBmcRFQbGFwRmQjH/VgWzuAkotrCbkEiE+IyN5ZDnxmczJxPRDXB4IrICLQtcQNoHvdDtY8zOImotjC4IqohLnFjHTiDk4hqC8dcEdUAB0hbD10zt3MGJxHVFIMrIgNxgLR14QxOIqotDK6IDMQlbqwPZ3ASUW3gmCsiA3GAtHVSzOA8dvUGci8dw8fxHVQytFc1OYGISBcMrogMxAHS1svRQYKOob7YdwkqwRMnJxCRMbBbkMhAHCBtWzg5gYiMhcEVkYE4QNp2cHICERkTgyuiGuAAadvAyQlEZEwcc0VUQ1zixvpxcgIRGRODKyIj4BI31o2TE4jImNgtSER2j5MTiMiYGFwR6UFeJpCafgt7zl1HavotDnC2EZycQETGxG5BIh0xB5JtU0xOqPwcy/gcE5GeGFwR6UCRA6nyfSpFDiTODLQNnJxARMbA4IqoGtXlQJKgPAdS70gZv4RtACcnEFFNccwVUTWYA4kAjrcjIt3xzhVRNZgDiTjejoj0wTtXRNVgDiT7xjUHiUhfDK6IqsEcSPaLaw4SkSEYXBFVgzmQ7BfH2xGRIRhcEemACzTbJ463IyJDcEA7kY6YA8n+cLwdERmCwRWRHpgDyb4oxttl5z/QOO5KgvK7lxxvR0QVsVuQiEgLjrcjIkMwuCIiqgLH2xGRvtgtSKSBvExwbBUpcbwdEemDwRVRJczGTZpwvB0R6YrdgkQVMBs36YtrDhJRZbxzRfQ/1WXjlqA8G3fvSBm7gwgA73ISkWa8c0X0P8zGTfrgXU4i0sYigqu1a9ciJCQEUqkUnTp1wokTJ6osv2vXLjRv3hxSqRRRUVHYt2+fyn4hBBISEhAYGAhXV1fExMTgypUrKmXeeustdO7cGW5ubvDx8VF7jPPnz2PYsGEIDg6Gq6srIiIisGrVqhq3lSwXs3GTrrjmIBFVxezB1eeff44pU6YgMTERZ86cQatWrRAXF4cbN25oLH/06FEMGzYML730Es6ePYtBgwZh0KBBSEtLU5ZZunQp3nvvPaxfvx7Hjx+Hu7s74uLi8ODBP1+KJSUlGDx4MMaPH6/xcU6fPg1/f39s27YNFy5cwL///W/MnDkTa9asMe4FIIvBbNykK97lJKKqmD24Wr58OcaMGYNRo0YhMjIS69evh5ubGz7++GON5VetWoU+ffpg2rRpiIiIwIIFC9C2bVtl0COEwMqVKzF79mwMHDgQLVu2xCeffIK///4bu3fvVp5n3rx5mDx5MqKiojQ+zujRo7Fq1Sp069YNjRs3xgsvvIBRo0bhq6++Mvo1IMugyMatbTSVBOXjaZiNm3iXk4iqYtYB7SUlJTh9+jRmzpyp3Obg4ICYmBikpqZqPCY1NRVTpkxR2RYXF6cMnDIyMpCdnY2YmBjlfm9vb3Tq1AmpqakYOnSowfXNz8+Hr6/2L9bi4mIUFxcr/y4oKAAAlJaWorS01ODHNTVF3Sy5jqZSse1OABL6NsPkz88BgEqXjyLgSujbDGXyhyiT12YtTYfPvWFt93OrAxfH6rv8/NzqWOy15XNvn20H7Lv9ura9ptfGrMFVbm4u5HI5AgICVLYHBATg8uXLGo/Jzs7WWD47O1u5X7FNWxlDHD16FJ9//jm+/fZbrWUWL16MefPmqW0/ePAg3NzcDH7s2pKcnGzuKphNxbYv6ai9XEnGaezLqIUK1TI+9/pbWsXrRCH30jHsu2TQ6WsNn3v7Zc/tr67t9+7dq9H5mYpBB2lpaRg4cCASExMRGxurtdzMmTNV7qoVFBQgODgYsbGx8PLyqo2qGqS0tBTJycno3bs3nJyczF2dWqWt7fIygdPXbiO3sBh+Hi5o16iuTaZf4HNveNu/u5RT5V3OFUNaIyYioPJhFoPPvX22HbDv9uvadkXPk6HMGlz5+fnB0dEROTk5KttzcnIgk8k0HiOTyaosr/hvTk4OAgMDVcq0bt1a7zpevHgRvXr1wtixYzF79uwqy7q4uMDFxUVtu5OTk1W8gK2lnqZQue1OALo0tdwvRmPjc69/259s+QgkDo5Wn+eKz719th2w7/ZX1/aaXheDgqvi4mIcP34c165dw71791C/fn20adMGoaGhep3H2dkZ7dq1Q0pKCgYNGgQAKCsrQ0pKCiZMmKDxmOjoaKSkpGDSpEnKbcnJyYiOjgYAhIaGQiaTISUlRRlMFRQU4Pjx41pnBmpz4cIF9OzZE/Hx8Xjrrbf0OpaIbB/XHCQiTfQKrn7++WesWrUK33zzDUpLS+Ht7Q1XV1fk5eWhuLgYjRs3xtixYzFu3Dh4enrqdM4pU6YgPj4e7du3R8eOHbFy5UoUFRVh1KhRAIARI0YgKCgIixcvBgBMnDgR3bp1w7Jly9C3b1/s2LEDp06dwoYNGwAAEokEkyZNwsKFCxEeHo7Q0FDMmTMHDRo0UAZwAJCZmYm8vDxkZmZCLpfj3LlzAICwsDB4eHggLS0NPXv2RFxcHKZMmaIcr+Xo6Ij69evrc9mIyIZxzUEiqkzn4GrAgAE4c+YMnn/+eRw8eBDt27eHq6urcv/vv/+OH3/8EZ999hmWL1+OTz75BL179672vEOGDMHNmzeRkJCA7OxstG7dGklJScoB6ZmZmXBw+CdjROfOnbF9+3bMnj0bs2bNQnh4OHbv3o0WLVooy0yfPh1FRUUYO3Ys7ty5g65duyIpKQlS6T/5iRISErBlyxbl323atAEAHD58GN27d8cXX3yBmzdvYtu2bdi2bZuyXKNGjfDHH3/oetmIiIjIzugcXPXt2xdffvml1n7Ixo0bo3HjxoiPj8fFixeRlaX70g8TJkzQ2g145MgRtW2DBw/G4MGDtZ5PIpFg/vz5mD9/vtYymzdvxubNm7Xunzt3LubOnat1P1k/eZlQJnk8kZGHx8L82Z1DRqV4jbHLkMi+6BxcvfLKK/jhhx/QuXNn1KlT9WGRkZGIjIysceWITEWx4G5e4X0s7QiM3nISvh6uVjUQmSwbF3Umsl96ZWjv0aMH8vK4nANZNy64S6bG1xiRfdMruBKCi5CSdeOCu2RqfI0Rkd5rC0okHC9A1osL7pKp8TVGRHrnuRo5cqTGRJkVcXFjslRccJdMja8xItI7uPL09FRJwUBkTfw9pdUX0qMcUWV8jRGR3sHVe++9B39/f1PUhcjkOob6ItBbiuz8BxrHxEgAyLzLp8wTGYKvMSLSa8wVx1uRtXN0kCCxf3makMqvZsXfif0jmYuIDMbXGBFxtiDZnT4tArHuhbaQeat2y8i8pVj3QlvmIKIa42uMyL7p1S14+PBh+PryVjZZP8WCu8eu3kDupWP4OL4DM7STUXFRZyL7pXNwtWPHDgwdOlSnsn/++ScyMzPRpUsXgytGZGqODhJ0DPXFvkvglx6ZBBd1JrJPOncLrlu3DhEREVi6dCkuXbqktj8/Px/79u3D888/j7Zt2+LWrVtGrSgRERGRNdD5ztX333+PvXv3YvXq1Zg5cybc3d0REBAAqVSK27dvIzs7G35+fhg5ciTS0tIQEBBgynoTEVktLuhMZNv0GnM1YMAADBgwALm5ufjpp59w7do13L9/H35+fmjTpg3atGkDBwe9k74TEdkNLuhMZPv0znMFAH5+fhg0aJCRq0JEZNsUCzpXnnetWNCZMwmJbANvM5HNk5cJpKbfwp5z15GafosL5pJZcEFnIvth0J0rImvBLhiyFPos6MwZhkTWjXeuyGYpumAqf6EpumCS0rLMVDOyR1zQmch+MLgim8QuGLI0XNCZyH4wuCKbpGsXzOlrt2uvUmTXFAs6a0u4IEF5lzUXdCayfnoHV1euXMGXX36JjIwMAMC3336LJ554Ah06dMBbb73F9QfJIujatZJbWGzimhCV44LORPZDr+Dq66+/RmRkJJ5//nlERETgk08+wbPPPqtMKDp37lwsXbrUVHUl0pmuXSt+Hi4mrgnRP7igM5F90Gu24FtvvYXp06dj4cKF2Lx5M8aNG4fFixdj0qRJAIANGzZgxYoVePPNN01RVyKdKbpgsvMfaBx3JUH5F1q7RnVxQH01JyKT4YLORLZPrztXv/76K0aPHg2JRIL4+HiUlJQgJiZGuT82NhbXrl0zeiWJ9MUuGLJkigWdB7YOQnSTenwdEtkYvYKroqIieHp6lh/o4ABXV1e4ubkp97u6uqK4mGNYyDKwC4aIiMxBr25BiUQCiUSi9W8iS8MuGLImXNCZyDboFVwJIdC0aVNlQFVYWKiyWDNnCpIlUnTBEFkyriZAZDv0Cq42bdpkqnoQEdktLuhMZFv0Cq7i4+NNVQ8iIrtU3WoCEpSvJtA7UsYuQiIrwQztRERmpM+CzkRkHRhcERGZERd0JrI9enULElkyzrQia8QFnYlsD4MrsgmcaUXWStfVBLigM5H1qHG3oBCCKRjIrBQzrSqPW1HMtEpKyzJTzYiqx9UEiGyPwcHVJ598gqioKLi6usLV1RUtW7bE1q1bjVk3ompVN9MKKJ9pJS/jDwCyXFxNgMi2GNQtuHz5csyZMwcTJkxAly5dAAA//fQTxo0bh9zcXEyePNmolSTSRp+ZVkwkSpaMqwkQ2Q6DgqvVq1dj3bp1GDFihHLbgAED8Oijj2Lu3LkMrqjWcKYV2RKuJkBkGwzqFszKykLnzp3Vtnfu3BlZWRzfQrWHM62IiMjSGBRchYWFYefOnWrbP//8c4SHh9e4UkS6Usy00tZxIkH5rEHOtCIiotpiULfgvHnzMGTIEPzwww/KMVc///wzUlJSNAZdRKaimGk1ftsZSACVge2caUW2hHnciKyHQcHVM888g+PHj2PFihXYvXs3ACAiIgInTpxAmzZtjFk/omopZlpVznMlY54rshHM40ZkXQxOItquXTts27bNmHUhMhhnWpGtUuRxq5xMRJHHjakaiCyPQcHVvn374OjoiLi4OJXtBw4cQFlZGZ588kmjVI5IH5xpRbamujxuEpTncesdKeMPCSILYtCA9hkzZkAul6ttF0JgxowZNa4UERHpl8eNiCyHQcHVlStXEBkZqba9efPmuHr1ao0rRUREzONGZK0MCq68vb3x+++/q22/evUq3N3da1wpIiJiHjcia2VQcDVw4EBMmjQJ6enpym1Xr17F1KlTMWDAAKNVjojInjGPG5F1Mii4Wrp0Kdzd3dG8eXOEhoYiNDQUERERqFevHt59911j15GIyC4p8rgBUAuwmMeNyHIZNFvQ29sbR48eRXJyMs6fPw9XV1e0bNkSTzzxhLHrR0Rk15jHjcj6GJznSiKRIDY2FrGxscasD1GVmKWa7BHzuBFZF52Dq/feew9jx46FVCrFe++9V2XZ119/vcYVI6qMWarJnjGPG5H10Dm4WrFiBYYPHw6pVIoVK1ZoLSeRSBhckdExSzUREVkLnYOrjIwMjf9PZGrMUk2kHbvKiSyPQbMF58+fj3v37qltv3//PubPn1/jShFVxCzVRJolpWWh65JDGLbxGCbuOIdhG4+h65JDSErLMnfViOyaQcHVvHnzUFhYqLb93r17mDdvXo0rRVQRs1QTqVN0lVf+4aHoKmeARWQ+BgVXQghIJOq3nc+fPw9fXyazI+NilmoiVdV1lQPlXeXyMk0liMjU9ErFULduXUgkEkgkEjRt2lQlwJLL5SgsLMS4ceOMXkmyb4os1dn5DzR+mUhQnvOHWarJXujTVc4ZhkS1T6/gauXKlRBCYPTo0Zg3bx68vb2V+5ydnRESEoLo6GijV5LsmyJL9fhtZyABVAIsZqkme8SuciLLpldwFR8fDwAIDQ1Fly5dUKeOwTlIifTCLNVE/2BXOZFlMyg66tatG9LT07Fp0yakp6dj1apV8Pf3x/79+9GwYUM8+uijxq4nEbNUE/0Pu8qJLJtOA9p//fVXlb+///57REVF4fjx4/jqq6+UMwfPnz+PxMREvSuxdu1ahISEQCqVolOnTjhx4kSV5Xft2oXmzZtDKpUiKioK+/btU9kvhEBCQgICAwPh6uqKmJgYXLlyRaXMW2+9hc6dO8PNzQ0+Pj4aH+f1119Hu3bt4OLigtatW+vdLjI+RZbqga2DEN2kHgMrsktc0JnIsukUXH311VcYPnw45HI5AGDGjBlYuHAhkpOT4ezsrCzXs2dPHDt2TK8KfP7555gyZQoSExNx5swZtGrVCnFxcbhx44bG8kePHsWwYcPw0ksv4ezZsxg0aBAGDRqEtLQ0ZZmlS5fivffew/r163H8+HG4u7sjLi4ODx78051UUlKCwYMHY/z48VXWb/To0RgyZIhebSIiMjVFV7nMW7XrT+Yt5YoFROYmdFBSUiImTJggevXqJYQQwt3dXfz+++9CCCE8PDxEenq6EEKIjIwM4eLiossplTp27CheffVV5d9yuVw0aNBALF68WGP55557TvTt21dlW6dOncQrr7wihBCirKxMyGQy8c477yj337lzR7i4uIjPPvtM7XybNm0S3t7eVdYxMTFRtGrVSscW/SM/P18AEPn5+XofW5tKSkrE7t27RUlJibmrUuvsue1C2Hf7baXtD+Vl4ujVXLH77F/i6NVc8VBeptNxttJ+Q9hz24Ww7/br2vaafn/rNObKyckJq1evxq5duwAAPj4+yMrKQmhoqEq5s2fPIigoSOfArqSkBKdPn8bMmTOV2xwcHBATE4PU1FSNx6SmpmLKlCkq2+Li4rB7924A5UvzZGdnIyYmRrnf29sbnTp1QmpqKoYOHapz/fRVXFyM4uJi5d8FBQUAgNLSUpSWlprscWtKUTdLrqOp2HPbAftuvy21vX1DLwBeAIAy+UOUyas/xpbary97bjtg3+3Xte01vTZ6DWgfPHgwAGDo0KF48803sWvXLkgkEpSVleHnn3/GG2+8gREjRuh8vtzcXMjlcgQEBKhsDwgIwOXLlzUek52drbF8dna2cr9im7YyprJ48WKNGeoPHjwINzc3kz62MSQnJ5u7CmZjz20H7Lv99tx2wL7bb89tB+y7/dW1XdMSf/owaLbgokWL8OqrryI4OBhyuRyRkZGQy+V4/vnnMXv27BpVyJrNnDlT5a5aQUEBgoODERsbCy8vLzPWrGqlpaVITk5G79694eTkZO7q1Cp7bjtg3+2357YD9t1+e247YN/t17Xtip4nQxkUXDk7O2Pjxo2YM2cO0tLSUFhYiDZt2iA8PFyv8/j5+cHR0RE5OTkq23NyciCTyTQeI5PJqiyv+G9OTg4CAwNVyph6xp+LiwtcXFzUtjs5OVnFC9ha6mkK9tx2wL7bb6ttl5cJndKW2Gr7dWHPbQfsu/3Vtb2m16VGWUAbNmyIhg0bGny8s7Mz2rVrh5SUFAwaNAgAUFZWhpSUFEyYMEHjMdHR0UhJScGkSZOU25KTk5WZ4UNDQyGTyZCSkqIMpgoKCnD8+PFqZwaS5dD1i4GI1CWlZakl3A1kwl2iWmNQcCWXy7F582akpKTgxo0bKCsrU9l/6NAhnc81ZcoUxMfHo3379ujYsSNWrlyJoqIijBo1CgAwYsQIBAUFYfHixQCAiRMnolu3bli2bBn69u2LHTt24NSpU9iwYQMAQCKRYNKkSVi4cCHCw8MRGhqKOXPmoEGDBsoADgAyMzORl5eHzMxMyOVynDt3DgAQFhYGDw8PAMDVq1dRWFiI7Oxs3L9/X1kmMjJSJQUFGRe/GIgMl5SWhfHbzqglF83Of4Dx284wTQNRLTAouJo4cSI2b96Mvn37okWLFioLOOtryJAhuHnzJhISEpCdnY3WrVsjKSlJOSA9MzMTDg7/pOPq3Lkztm/fjtmzZ2PWrFkIDw/H7t270aJFC2WZ6dOno6ioCGPHjsWdO3fQtWtXJCUlQSr9Jx9MQkICtmzZovy7TZs2AIDDhw+je/fuAICXX34Z33//vVqZjIwMhISEGNxm0o5fDESGk5cJzPvmosas7QLlCUbnfXMRvSM1D7sgIuMwKLjasWMHdu7ciaeeesoolZgwYYLWbsAjR46obRs8eLBy5qImEokE8+fPx/z587WW2bx5MzZv3lxlvTQ9NpmOPl8M7CIkUnciI0/ljm9lAkBW/gOcyMj7X/oGIjIFnTK0V+bs7IywsDBj14XsnD5fDESk7sZd7e8fQ8oRkWEMCq6mTp2KVatWQQhN9xiIDMMvBqKa8feUVl9Ij3JEZBiDugV/+uknHD58GPv378ejjz6qNmXxq6++MkrlyL7wi4GoZjqG+iLQW4rs/Acau9clKF97sGOoL8rkD2u7ekR2w6DgysfHB//617+MXReyc/p8MRCROkcHCRL7R2L8tjOQACrvI8UoxcT+kXB0kOi0RA4RGcag4GrTpk3GrgeRXl8MRKRZnxaBWPdCW7V0JjKmMyGqNTVKIkpkbPxiIKq5Pi0C0TtSxkS8RGZiUHDVpk0bjbmtJBIJpFIpwsLCMHLkSPTo0aPGFST7wy8GoppzdJAgukk9c1eDyC4ZNFuwT58++P333+Hu7o4ePXqgR48e8PDwQHp6Ojp06ICsrCzExMRgz549xq4v2QnFF8PA1kGIblKPgRUREVkNg+5c5ebmYurUqZgzZ47K9oULF+LatWs4ePAgEhMTsWDBAgwcONAoFSUiIuNQrN0JlOeXeyzMnz9giIzIoDtXO3fuxLBhw9S2Dx06FDt37gQADBs2DL/++mvNakdEREaVlJaFrksOYfSWkwCA0VtOouuSQ0hKyzJzzYhsh0HBlVQqxdGjR9W2Hz16VLl+X1lZmcpafkREZF6KtTsrr4SgWLuTARaRcRjULfjaa69h3LhxOH36NDp06AAAOHnyJD788EPMmjULAHDgwAG0bt3aaBUlIiLDce1OotpjUHA1e/ZshIaGYs2aNdi6dSsAoFmzZti4cSOef/55AMC4ceMwfvx449WUiIgMps/anZxlSFQzBue5Gj58OIYPH651v6urq6GnJiIiI+PanUS1h0lEyawUs5aYz4rItLh2J1HtMSi4ksvlWLFiBXbu3InMzEyUlJSo7M/LyzNK5ci2JaVlqWViD2QmdiKT4NqdRLXHoNmC8+bNw/LlyzFkyBDk5+djypQpePrpp+Hg4IC5c+cauYpkizhriah2KdbuBP5Zq1OBa3cSGZdBwdWnn36KjRs3YurUqahTpw6GDRuGDz/8EAkJCTh27Jix60g2prpZS0D5rCV5maYSRGQoxdqdMm/Vrj+ZtxTrXmjLO8ZERmJQt2B2djaioqIAAB4eHsjPzwcA9OvXTy1rO1FlnLVEZD6KtTuPXb2B3EvH8HF8B2ZoJzIyg+5cPfLII8jKKu+2adKkCQ4ePAigPNeVi4uL8WpHNomzlojMy9FBohxbxUkkRMZnUHD1r3/9CykpKQDKE4rOmTMH4eHhGDFiBEaPHm3UCpLt4awlIiKyZQZ1C7799tvK/x8yZAgaNmyI1NRUhIeHo3///karHNkmzloiskxMjUJkHEbJcxUdHY3o6GhjnIrsgGLW0vhtZyABVAIszloiMg+mRiEyHr2Cqx9++EGnck888YRBlSH7oZi1VPnDXMYPc6Jap0iNUvlOsiI1CmcSEulHr+Cqe/fukEjK7yYIoXmavEQigVwur3nNyOYpZi2xG4LIfLigM5Hx6RVc1a1bF56enhg5ciRefPFF+Pn5mapeZCccHSRMt0BkRqev3WZqFCIj02u2YFZWFpYsWYLU1FRERUXhpZdewtGjR+Hl5QVvb2/lPyIisg65hcU6lWNqFCLd6RVcOTs7Y8iQIThw4AAuX76Mli1bYsKECQgODsa///1vPHz40FT1JCIiE/Dz0C03IVOjEOnOoDxXANCwYUMkJCTgu+++Q9OmTfH222+joKDAmHUjIiITa9eoLgK9pWrrDSpIUD5rkKlRiHRnUHBVXFyM7du3IyYmBi1atICfnx++/fZb+PryzUdEZE24oDOR8ek1oP3EiRPYtGkTduzYgZCQEIwaNQo7d+5kUEVEZMWYGoXIuPQKrh577DE0bNgQr7/+Otq1awcA+Omnn9TKDRgwwDi1IyKiWsHUKETGo3eG9szMTCxYsEDrfua5IiKyTkyNQmQcegVXZWVlpqoH2TCuV0ZERPbEKGsLEmnD9cqIrB9/IBHph8EVmQzXKyOyfvyBRKQ/g/NcEVWluvXKgPL1yuRlmteoJCLzU/xAqrw8juIHUlJalplqRmTZGFyRSZzIyNN5vTIisjz8gURkOAZXZBK6rkPG9cqILBN/IBEZrkZjrk6fPo1Lly4BACIjI9G2bVujVIqsn67rkHG9MiLLxB9IRIYzKLi6ceMGhg4diiNHjsDHxwcAcOfOHfTo0QM7duxA/fr1jVlHskIdQ30R6C1Fdv4Djd0KEpRnf+Z6ZUSWiT+QiAxnULfga6+9hrt37+LChQvIy8tDXl4e0tLSUFBQgNdff93YdSQrxPXKiKyb4gcSF3Qm0p9BwVVSUhLef/99REREKLdFRkZi7dq12L9/v9EqR9ZNsV6ZzFv1l63MW8o0DEQWjj+QiAxnULdgWVkZnJyc1LY7OTkxizup4HplRNaLCzoTGcag4Kpnz56YOHEiPvvsMzRo0AAAcP36dUyePBm9evUyagXJ+nG9MiLrxR9IRPozKLhas2YNBgwYgJCQEAQHBwMA/vzzT7Ro0QLbtm0zagWJiMi8+AOJSD8GBVfBwcE4c+YMvvvuO1y+fBkAEBERgZiYGKNWjoiIiMjaGJznSiKRoHfv3ujdu7cx60NERFaEizoTqTM4uEpJScGKFSuUSUQjIiIwadIk3r0iIrITXNSZSDODUjG8//776NOnDzw9PTFx4kRMnDgRXl5eeOqpp7B27Vpj15GIiCwMF3Um0s6gO1eLFi3CihUrMGHCBOW2119/HV26dMGiRYvw6quvGq2CRERkWapb1FmC8kWde0fK2EVIdsmgO1d37txBnz591LbHxsYiPz+/xpUiIiLLxUWdiapmUHA1YMAAfP3112rb9+zZg379+tW4UmSd5GUCqem3sOfcdaSm34K8TNPvWiKydlzUmahqBnULRkZG4q233sKRI0cQHR0NADh27Bh+/vlnTJ06Fe+9956yLNcatA8c2EpkP7ioM1HVDAquPvroI9StWxcXL17ExYsXldt9fHzw0UcfKf+WSCQMruyAYmBr5ftUioGtXEeQyLYoFnXOzn+gcdyVBOVL5HBRZ7JXBgVXGRkZxq4HWSkObCWyP4pFncdvOwMJoPL+56LORAaOuSJS4MBWIvukWNRZ5q3a9SfzlvJuNdk9g+5cCSHwxRdf4PDhw7hx4wbKyspU9n/11VdGqRxZPg5sJbJfXNSZSDODgqtJkybhgw8+QI8ePRAQEACJhG8ke8WBrUT2jYs6E6kzKLjaunUrvvrqKzz11FPGrg9ZGQ5sJSJNuOYg2TODxlx5e3ujcePGRqvE2rVrERISAqlUik6dOuHEiRNVlt+1axeaN28OqVSKqKgo7Nu3T2W/EAIJCQkIDAyEq6srYmJicOXKFZUyb731Fjp37gw3Nzf4+PhofJzMzEz07dsXbm5u8Pf3x7Rp0/Dw4cMatdXWKAa2Av8MZFXgwFYi+5SUloWuSw5h2MZjmLjjHIZtPIauSw5xSRyyGwYFV3PnzsW8efNw//79Glfg888/x5QpU5CYmIgzZ86gVatWiIuLw40bNzSWP3r0KIYNG4aXXnoJZ8+exaBBgzBo0CCkpaUpyyxduhTvvfce1q9fj+PHj8Pd3R1xcXF48OCfcT8lJSUYPHgwxo8fr/Fx5HI5+vbti5KSEhw9ehRbtmzB5s2bkZCQUOM22xoObCUiBa45SGRgt+Bzzz2Hzz77DP7+/ggJCYGTk5PK/jNnzuh8ruXLl2PMmDEYNWoUAGD9+vX49ttv8fHHH2PGjBlq5VetWoU+ffpg2rRpAIAFCxYgOTkZa9aswfr16yGEwMqVKzF79mwMHDgQAPDJJ58gICAAu3fvxtChQwEA8+bNAwBs3rxZY70OHjyIixcv4rvvvkNAQABat26NBQsW4M0338TcuXPh7OyscxvtAQe2EhFTsxCVMyi4io+Px+nTp/HCCy/UaEB7SUkJTp8+jZkzZyq3OTg4ICYmBqmpqRqPSU1NxZQpU1S2xcXFYffu3QDKc3BlZ2cjJiZGud/b2xudOnVCamqqMriqTmpqKqKiohAQEKDyOOPHj8eFCxfQpk0btWOKi4tRXFys/LugoAAAUFpaitLSUp0e1xwUdTNGHds39ALgBQAokz9EmbzGpzQpY7bdGtlz++257YBp2n8iIw95hffh4qi9TF7hfRy7esOs4zD53Ntv+3Vte02vjUHB1bfffosDBw6ga9euNXrw3NxcyOVylQAGAAICAnD58mWNx2RnZ2ssn52drdyv2KatjC60PU7Fx6hs8eLFyjtiFR08eBBubm46P7a5JCcnm7sKZmPPbQfsu/323HbA+O1f2rH6MrmXjmHfJaM+rEH43Ntv+6tr+71792p0foOCq+DgYHh5edXogW3RzJkzVe6qFRQUIDg4GLGxsRZ9vUpLS5GcnIzevXurdfHaOntuO2Df7bfntgOmaf+JjDyM3nKy2nIfx3cw+50rPvf22X5d267oeTKUQcHVsmXLMH36dKxfvx4hISEGP7ifnx8cHR2Rk5Ojsj0nJwcymUzjMTKZrMryiv/m5OQgMDBQpUzr1q11rptMJlObtah4XG11c3FxgYuLi9p2Jycnq3gBW0s9TcGe2w7Yd/vtue2Acdv/WJg/fD1cq03N8liYv0WMueJzb7/tr67tNb0uBs0WfOGFF3D48GE0adIEnp6e8PX1VfmnK2dnZ7Rr1w4pKSnKbWVlZUhJSUF0dLTGY6Kjo1XKA+W39xTlQ0NDIZPJVMoUFBTg+PHjWs+p7XF++eUXlVmLycnJ8PLyQmRkpM7nISKyF0zNQlTOoDtXK1euNFoFpkyZgvj4eLRv3x4dO3bEypUrUVRUpJw9OGLECAQFBWHx4sUAgIkTJ6Jbt25YtmwZ+vbtix07duDUqVPYsGEDAEAikWDSpElYuHAhwsPDERoaijlz5qBBgwYYNGiQ8nEzMzORl5eHzMxMyOVynDt3DgAQFhYGDw8PxMbGIjIyEi+++CKWLl2K7OxszJ49G6+++qrGu1NERPRPapZ531xUSccg85YisX8kU7OQXTB4tqCxDBkyBDdv3kRCQgKys7PRunVrJCUlKQePZ2ZmwsHhnxtsnTt3xvbt2zF79mzMmjUL4eHh2L17N1q0aKEsM336dBQVFWHs2LG4c+cOunbtiqSkJEil/+RhSkhIwJYtW5R/K2b/HT58GN27d4ejoyP+85//YPz48YiOjoa7uzvi4+Mxf/58o7WdiMgWMTUL2TuDgquKHjx4gJKSEpVt+g7enjBhAiZMmKBx35EjR9S2DR48GIMHD9Z6PolEgvnz51cZCG3evFlrjiuFRo0aqWV/JyKi6nHNQbJnBgVXRUVFePPNN7Fz507cunVLbb9cbuHJjchgXC+MiGqKnyNk6wwKrqZPn47Dhw9j3bp1ePHFF7F27Vpcv34dH3zwAd5++21j15EsRFJalto4ikCOoyAiPfBzhOyBQbMFv/nmG7z//vt45plnUKdOHTz++OOYPXs2Fi1ahE8//dTYdSQLwPXCiKim+DlC9sKg4CovLw+NGzcGUD6+Ki8vDwDQtWtX/PDDD8arHVmE6tYLA8rXC5OXaSpBRMTPEbIvBgVXjRs3RkZGBgCgefPm2LlzJ4DyO1o+Pj5GqxxZhhMZeWq/NCsSALLyH+BERl7tVYqIrAo/R8ieGBRcjRo1CufPnwcAzJgxA2vXroVUKsXkyZMxbdo0o1aQzO/GXe0fiIaUIyL7w88RsicGDWifPHmy8v9jYmJw+fJlnD59GmFhYWjZsqXRKkeWwd9TWn0hPcoRkf3h5wjZkxrnuQLK80E1atTIGKciC9Qx1BeB3tJq1wsz50KsRGTZ+DlC9kSvbsFDhw4hMjJS42rR+fn5ePTRR/Hjjz8arXJkGbheGBHVFD9HyJ7oFVytXLkSY8aM0ZiB3dvbG6+88gqWL19utMqR5VCsFybzVr1lL/OWYt0LbZmfhoiqxc8Rshd6dQueP38eS5Ys0bo/NjYW7777bo0rRZaJ64URUU3xc4TsgV7BVU5ODpycnLSfrE4d3Lx5s8aVIsvF9cKIqKa0fY5wWRyyFXoFV0FBQUhLS0NYWJjG/f/9738RGMjbukREpB8ui0O2RK8xV0899RTmzJmDBw/U85Dcv38fiYmJ6Nevn9EqR0REto/L4pCt0evO1ezZs/HVV1+hadOmmDBhApo1awYAuHz5MtauXQu5XI5///vfJqkoERHZnuqWxZGgfFmc3pEydhGS1dAruAoICMDRo0cxfvx4zJw5E0KUvx0kEgni4uKwdu1aBAQEmKSiRERke/RZFofjPcla6J1EtFGjRti3bx9u376Nq1evQgiB8PBw1K1b1xT1IyIiG8ZlccgWGZyhvW7duujQoYMx60JERHaGy+KQLTJo4WYiIiJjUCyLo200lQTlswa5LA5ZEwZXRERkNlwWh2wRgyvSSF4mkJp+C3vOXUdq+i3IyzTN5SEiqjkui0O2xuAxV2S7mMyPiGpbVcviMHM7WRsGV6RCkcyv8n0qRTI//ookIlPRtCwOf+yRNWK3IClVl8wPKE/mxy5CIqoNzNxO1orBFSmdvnZb52R+RESmxB97ZM0YXJFSbmGxTuWYzI+ITE2fzO1ElobBFSn5ebjoVI7J/IjI1Ji5nawZgytSateoLpP5EZFFYOZ2smYMrkiJyfyIyFIwcztZMwZXpILJ/IjIEvDHHlkz5rkiNVUl8yMiqi2KH3uV81zJmOeKLByDK9JIUzI/IqLaVt2PPWZvJ0vE4IqIiCyath97zN5OlopjroiIyOoweztZMgZXRERkVZi9nSwdgysiIrIqzN5Olo7BFRERWRVmbydLx+CKiIisCrO3k6VjcEVERFaF2dvJ0jG4snOKHDFA+TgGDgAlIkvH7O1k6Rhc2bGktCx0XXIIo7ecBACM3nISXZcc4hRmIrJ41S3V1TtShtT0W9hz7jpS02/xhyPVKiYRtVOKHDECgIvjP9sVOWK4jiARWTpt2duTL2aj65JDTC5KZsM7V3aIOWKIyFYosrcPbB2E6Cb1kHwxm8lFyewYXNkh5oghIlvEH45kKRhc2SHmiCEiW6TrD8fT127XXqXILjG4skPMEUNEtkjXH4S5hcUmrgnZOwZXdog5YojIFun6g9DPw8XENSF7x+DKDjFHDBHZIl1/OLZrVLc2q0V2iMGVnaouRwynKxORteEPR7IUzHNlxxQ5Yo5dvYHcS8fwcXwHPBbmzw8eIrJaih+O8765qDK4Xfa/PFeKzzygfAA8P/PIFBhc2TlHBwk6hvpi36XyW+r8kCEia1ddctG8wvtY2rF8VQpfD1cmFyWjY3BFREQ2R5FcVIGrUlBt4pgrIiKyaUwuSrWNwRUREdk0rkpBtY3BFRER2TSuSkG1jcEVERHZNK5KQbWNwRUREdk0rkpBtY3BFRER2TRdk4sCQGr6Lew5dx2p6bc4wJ0MxlQMRERk8yomF80rvK/crkguCgBdlxxSGfge+L99TNFA+rKIO1dr165FSEgIpFIpOnXqhBMnTlRZfteuXWjevDmkUimioqKwb98+lf1CCCQkJCAwMBCurq6IiYnBlStXVMrk5eVh+PDh8PLygo+PD1566SUUFhaqlNm5cydat24NNzc3NGrUCO+8845xGlzL5GWCv8aIyO71aRGIn97siY/jOwAAPo7vgJ/e7AkAGL/tjNqMQkUOrKS0rFqvK1k3swdXn3/+OaZMmYLExEScOXMGrVq1QlxcHG7cuKGx/NGjRzFs2DC89NJLOHv2LAYNGoRBgwYhLS1NWWbp0qV47733sH79ehw/fhzu7u6Ii4vDgwf/vHGGDx+OCxcuIDk5Gf/5z3/www8/YOzYscr9+/fvx/DhwzFu3DikpaXh/fffx4oVK7BmzRrTXQwTSErLQtclhzBs4zFM3HEOwzYeQ9clh/hhQUR2SbEqBQDlf5kDi4zN7MHV8uXLMWbMGIwaNQqRkZFYv3493Nzc8PHHH2ssv2rVKvTp0wfTpk1DREQEFixYgLZt2yqDHiEEVq5cidmzZ2PgwIFo2bIlPvnkE/z999/YvXs3AODSpUtISkrChx9+iE6dOqFr165YvXo1duzYgb///hsAsHXrVgwaNAjjxo1D48aN0bdvX8ycORNLliyBENbxJlNkJOavMSIizZgDi0zBrMFVSUkJTp8+jZiYGOU2BwcHxMTEIDU1VeMxqampKuUBIC4uTlk+IyMD2dnZKmW8vb3RqVMnZZnU1FT4+Pigffv2yjIxMTFwcHDA8ePHAQDFxcWQSlWn5bq6uuKvv/7CtWvXatDq2sGMxERE1WMOLDIFsw5oz83NhVwuR0BAgMr2gIAAXL58WeMx2dnZGstnZ2cr9yu2VVXG399fZX+dOnXg6+urLBMXF4fJkydj5MiR6NGjB65evYply5YBALKyshASEqJWt+LiYhQXFyv/LigoAACUlpaitLRU+4UwgRMZecgrvK+yhlZleYX3cezqDbR5xBMAar2OlkDRZntsO2Df7bfntgP23f6KbfdzqwMXx+p/ZPq51bGZa8Xnvvq21/TacLagFmPGjEF6ejr69euH0tJSeHl5YeLEiZg7dy4cHDTf8Fu8eDHmzZuntv3gwYNwc3MzdZXVLO1YfZncS8eQfKn8/5OTk01bIQtmz20H7Lv99tx2wL7br2i7rp+V+y6ZuEK1jM+9dvfu3avR+c0aXPn5+cHR0RE5OTkq23NyciCTyTQeI5PJqiyv+G9OTg4CAwNVyrRu3VpZpvKA+YcPHyIvL095vEQiwZIlS7Bo0SJkZ2ejfv36SElJAQA0btxYY91mzpyJKVOmKP8uKChAcHAwYmNj4eXlVeW1MLYTGXkYveVkteU+ju+ANo94Ijk5Gb1794aTk1Mt1M5ylJaW2m3bAftuvz23HbDv9ldu+3eXcjD583MAoDKUQvK/v31cnXDn/j93MmReUsx4sjliIlR7SKyFLTz3313Kwdv7LyO74J/uWl2eF13bruh5MpRZgytnZ2e0a9cOKSkpGDRoEACgrKwMKSkpmDBhgsZjoqOjkZKSgkmTJim3JScnIzo6GgAQGhoKmUyGlJQUZTBVUFCA48ePY/z48cpz3LlzB6dPn0a7du0AAIcOHUJZWRk6deqk8niOjo4ICgoCAHz22WeIjo5G/fr1NdbNxcUFLi4uatudnJxq/QX8WJg/fD1ckZ3/QOO4KwnK87s8FuaPMvlDs9XTUthz2wH7br89tx2w7/Yr2v5ky0cgcXDEvG8uqgxu93Fzwp17pcgpfIiK6Uczbxfj/7afx7oX2lp1Dixrfe6T0rLwf9vP/++7zbDnpbq21/S6mL1bcMqUKYiPj0f79u3RsWNHrFy5EkVFRRg1ahQAYMSIEQgKCsLixYsBABMnTkS3bt2wbNky9O3bFzt27MCpU6ewYcMGAOV3nCZNmoSFCxciPDwcoaGhmDNnDho0aKAM4CIiItCnTx+MGTMG69evR2lpKSZMmIChQ4eiQYMGAMrHg33xxRfo3r07Hjx4gE2bNmHXrl34/vvva/8iGUCRkXj8tjPKX18KFTMSOzpIUCY3QwWJiCxInxaB6B0pw4mMPNy4+wB+7i6Yuus8APWxNwLln6PzvrmI3pEyODpoW1iHjK26yVqW8ryYPRXDkCFD8O677yIhIQGtW7fGuXPnkJSUpByQnpmZiaysf1IGdO7cGdu3b8eGDRvQqlUrfPHFF9i9ezdatGihLDN9+nS89tprGDt2LDp06IDCwkIkJSWpzP779NNP0bx5c/Tq1QtPPfUUunbtqgzQFLZs2YL27dujS5cuuHDhAo4cOYKOHXXonLcQiozEMm/VWY8yb6nV/+IiIjI2RwcJopvUw8DWQXBwkKh0OVXGFA3mYS2pM8x+5woAJkyYoLUb8MiRI2rbBg8ejMGDB2s9n0Qiwfz58zF//nytZXx9fbF9+3at+/38/LSmg7AmlX+N+XuWL07KX1pERNoxRYNlspbnxSKCKzItxa8xIiLSjb+ntPpCAHLvFmPPuev84Woi8jKhcnPAz0N9XLMmuj5/psLgioiIqJKOob4I9JZqnRQEAA4SYMG3/+Rn4ELPxpWUlqU2yUDm5QIfNyfk3yutcrKWYmkjczH7mCsiIiJLo5gUBFScj6aq8gIXXFrMeLQt35ZTUIw7/wusKj8vlSdrmRODKyIiIg20TQrS9r3NpcWMQ5cZgT5uTgjwstzJWuwWJCIi0qLypKDcu8UqXYGVVZytxrGuhtFlRuCde6X49KW2cHCQWORkLQZXREREVag4KWjPues6HZOdfx+p6bcs8ovfElUcuH4lp1CnY3KLijGwdZCJa2YYBldEREQ60nUW2oJvLyGvqET5Nwe7a6dp4LouzD0jsCocc0VERKQjxSzC6u5BVQysAA5210bbwPWqSFAerJp7RmBVGFzZEHmZQGr6Lew5dx2p6bc4oJKIyMh0mUWoCQe7q6tq4Lo2ljQjsCrsFrQRmm6r8jY0EZHxKWYRVv7M9XV3Ql6R+lqEChzsrqq6geuayKzke43BlQ1Q3FatHP0rbkNbytRUIiJboWlpseyCB5j8+blqj/356k27HehuyMD1CT2aIDzA06quF4MrK2ctK4QTEdmaykuLpabf0um4NYfTlf9vTz0Mhg5c7xJW3+ru9HHMlZWzlhXCiYhsna6D3Suyl4HutjpwXRsGV1bOWlYIJyKydYYMdreHge62PHBdG3YLWjld83xYcj4QIiJboW2we1UUPQybf86An6eLVY0t0qTiuCp/TynKhLDZgevaMLiyctWt3G4pK4QTEdmLyoPdr+QUYs3hq9UeV3FZHWsdi6VpXJWPq5NOx1rjwHVt2C1o5aq6DW3tt1WJiKyVYrD7wNZB6BLmp/fx1jgWS9u4qjv3taenqKhLWH0MbB2E6Cb1rP47i8GVDdC2crslrRBORGSvDBnoXnEsVsnDMotMEF0xcfXPV3Ixd69+46oUrHngujbsFrQRmnKuWPttVSIiW6DoYRi/7QwkgM4BiGIs1mOLUyxunUJD0ypUZqs9LAyubEjlnCtERGQZDBnorqBtncK1z7dBXXcXk/+grjxA/XZRCV7drp64Whc+rk4q3YTWPnBdGwZXREREtaByD0Pu3WKVQey6UgQ1Ez47i4o9hIo7Wob0YlQOoBTHaLpD5SDR/e5bZWufbwsHB4nN97AwuCIiIqolFXsY5GUCH/6UoXW2d3UqD73Kzn+AcdvOwMfNCXfu/XN3qGI3oiKIAsqTUD8W5o/ki9ka16Yd0CoQG37IUKubIUO+FDPXH7OBweq6YHBFRERkBoaOxdJGcXzFwAr4pxtx7BOh2Hs+C3mF97G0IzB6y0m4ujirlQfKx3p98ENGDWtUzlbHVVWFswWJiIjMRNtsb1933XJD6UL8798HP2Sop0nQEFgZmz3OXOedKyIiIjPSNNu7XaO66PbOYYO7DM1FAiDAywXLnmuN3MJimx5XVRUGV0RERGamaba3MbsMa4MifJo74FGDEqfaEnYLEhERWSBtXYaWchOocj3ssftPG965IiIislCaugwVeaaA2rmjVfnOmSKmWjOsdvJsWSMGV1ZIWz4SIiKyPZq6DNc5qCckVaRgMEY3ouIbRTHDsOLj2GriT2NicGVlNCV0s4SlEIiIqPZoW/KsupxVlSkCscq5sSoGUNP7RPAHvZ4YXFkRxYrjlX+RKHKYsK+biMh+aLqjVdU6s20a1sW8by4ir/C+srxMh6zuXFpNfwyurIS8TGDeN5pXHBco//Ux75uL6B0p4y8KIiI7pi0YUgRex67eQO6lY/g4vgMeC/NXfmcwgDIezha0Eicy8qpc7FOxerpiWQMiIqLKHB0k6BjqCwDs3jMhBldW4sZd3VZR17UcERERmQaDKyvh7ymtvpAe5YiIiMg0GFxZiY6hvgj0lkLbDVwJymeEKG73EhERkXkwuLISitXTAagFWPa44jgREZGlYnBlRbQthcAlB4iIiCwHUzFYmapymBAREZH5MbiyQkzoRkREZLnYLUhERERkRAyuiIiIiIyIwRURERGRETG4IiIiIjIiBldERERERsTgioiIiMiIGFwRERERGRGDKyIiIiIjYhJRExJCAAAKCgrMXJOqlZaW4t69eygoKICTk5O5q1Or7LntgH23357bDth3++257YB9t1/Xtiu+txXf4/picGVCd+/eBQAEBwebuSZERESkr7t378Lb21vv4yTC0LCMqlVWVoa///4bnp6ekEgsd+2/goICBAcH488//4SXl5e5q1Or7LntgH23357bDth3++257YB9t1/XtgshcPfuXTRo0AAODvqPoOKdKxNycHDAI488Yu5q6MzLy8vu3mgK9tx2wL7bb89tB+y7/fbcdsC+269L2w25Y6XAAe1ERERERsTgioiIiMiIGFwRXFxckJiYCBcXF3NXpdbZc9sB+26/PbcdsO/223PbAftuf221nQPaiYiIiIyId66IiIiIjIjBFREREZERMbgiIiIiMiIGV0RERERGxODKDuTl5WH48OHw8vKCj48PXnrpJRQWFlZ5zCuvvIImTZrA1dUV9evXx8CBA3H58mWVMpmZmejbty/c3Nzg7++PadOm4eHDh6ZsikH0bX9eXh5ee+01NGvWDK6urmjYsCFef/115Ofnq5STSCRq/3bs2GHq5ujFVG231eceADZs2IDu3bvDy8sLEokEd+7cUSsTEhKi9ty//fbbJmqFYUzVdkPOaw6G1PPBgwd49dVXUa9ePXh4eOCZZ55BTk6OShlLfN+vXbsWISEhkEql6NSpE06cOFFl+V27dqF58+aQSqWIiorCvn37VPYLIZCQkIDAwEC4uroiJiYGV65cMWUTasTY7R85cqTac9ynTx/9KiXI5vXp00e0atVKHDt2TPz4448iLCxMDBs2rMpjPvjgA/H999+LjIwMcfr0adG/f38RHBwsHj58KIQQ4uHDh6JFixYiJiZGnD17Vuzbt0/4+fmJmTNn1kaT9KJv+3/55Rfx9NNPi71794qrV6+KlJQUER4eLp555hmVcgDEpk2bRFZWlvLf/fv3Td0cvZii7bb83AshxIoVK8TixYvF4sWLBQBx+/ZttTKNGjUS8+fPV3nuCwsLTdQKw5iq7Yac1xwMqee4ceNEcHCwSElJEadOnRKPPfaY6Ny5s0oZS3vf79ixQzg7O4uPP/5YXLhwQYwZM0b4+PiInJwcjeV//vln4ejoKJYuXSouXrwoZs+eLZycnMQvv/yiLPP2228Lb29vsXv3bnH+/HkxYMAAERoaanGfb0KYpv3x8fGiT58+Ks9xXl6eXvVicGXjLl68KACIkydPKrft379fSCQScf36dZ3Pc/78eQFAXL16VQghxL59+4SDg4PIzs5Wllm3bp3w8vISxcXFxmtADRmr/Tt37hTOzs6itLRUuQ2A+Prrr41ZXaMyVdvt5bk/fPhwlcHVihUrjFhb4zJV2431mjI1Q+p5584d4eTkJHbt2qXcdunSJQFApKamKrdZ2vu+Y8eO4tVXX1X+LZfLRYMGDcTixYs1ln/uuedE3759VbZ16tRJvPLKK0IIIcrKyoRMJhPvvPOOcv+dO3eEi4uL+Oyzz0zQgpoxdvuFKA+uBg4cWKN6sVvQxqWmpsLHxwft27dXbouJiYGDgwOOHz+u0zmKioqwadMmhIaGIjg4WHneqKgoBAQEKMvFxcWhoKAAFy5cMG4jasAY7QeA/Px8eHl5oU4d1eU4X331Vfj5+aFjx474+OOPISwobZyp2m5vz702b7/9NurVq4c2bdrgnXfesahuUVO13dTX1FgMqefp06dRWlqKmJgY5bbmzZujYcOGSE1NVSlrKe/7kpISnD59WqXODg4OiImJUauzQmpqqkp5oPz9qyifkZGB7OxslTLe3t7o1KmT1nOaiynar3DkyBH4+/ujWbNmGD9+PG7duqVX3bhws43Lzs6Gv7+/yrY6derA19cX2dnZVR77/vvvY/r06SgqKkKzZs2QnJwMZ2dn5XkrfrkCUP5d3XlrU03ar5Cbm4sFCxZg7NixKtvnz5+Pnj17ws3NDQcPHsT//d//obCwEK+//rrR6l8Tpmq7PT332rz++uto27YtfH19cfToUcycORNZWVlYvnx5jc5rLKZquymvqTEZUs/s7Gw4OzvDx8dHZXtAQIDKMZb0vs/NzYVcLtf4fqw8RlZB2/tX0UbFf6sqYylM0X4A6NOnD55++mmEhoYiPT0ds2bNwpNPPonU1FQ4OjrqVDfeubJSM2bM0DiwsuI/bS8uXQ0fPhxnz57F999/j6ZNm+K5557DgwcPjNSCmqmN9gNAQUEB+vbti8jISMydO1dl35w5c9ClSxe0adMGb775JqZPn4533nmnxo9ZHUtouznVVvurMmXKFHTv3h0tW7bEuHHjsGzZMqxevRrFxcUmfVxLaLs5WUL7zfW+p9ozdOhQDBgwAFFRURg0aBD+85//4OTJkzhy5IjO5+CdKys1depUjBw5ssoyjRs3hkwmw40bN1S2P3z4EHl5eZDJZFUe7+3tDW9vb4SHh+Oxxx5D3bp18fXXX2PYsGGQyWRqMzIUs2qqO68x1Eb77969iz59+sDT0xNff/01nJycqizfqVMnLFiwAMXFxSZdt8rcbbeH515fnTp1wsOHD/HHH3+gWbNmRj13ReZue21eU01M2X6ZTIaSkhLcuXNH5e5VTk5OlW2rrfe9Jn5+fnB0dFSb0VhVnWUyWZXlFf/NyclBYGCgSpnWrVsbsfY1Z4r2a9K4cWP4+fnh6tWr6NWrl26Vq9GILbJ4ioGdp06dUm47cOCA3gNQHzx4IFxdXcWmTZuEEP8Maq44I+ODDz4QXl5e4sGDB0arf00Z2v78/Hzx2GOPiW7duomioiKdHmvhwoWibt26Na6zsZiq7bb+3CtUNaC9sm3btgkHBwe9ZxSZiqnabqzPE1MzpJ6KAe1ffPGFctvly5fVBrRXZu73fceOHcWECROUf8vlchEUFFTlgO5+/fqpbIuOjlYb0P7uu+8q9+fn51v0gHZjtl+TP//8U0gkErFnzx6d68Xgyg706dNHtGnTRhw/flz89NNPIjw8XGVK8l9//SWaNWsmjh8/LoQQIj09XSxatEicOnVKXLt2Tfz888+if//+wtfXV/mFqpiOHxsbK86dOyeSkpJE/fr1LXY6vj7tz8/PF506dRJRUVHi6tWrKtNxFako9u7dKzZu3Ch++eUXceXKFfH+++8LNzc3kZCQYJY2amOKttvycy+EEFlZWeLs2bNi48aNAoD44YcfxNmzZ8WtW7eEEEIcPXpUrFixQpw7d06kp6eLbdu2ifr164sRI0bUevuqYoq263JeS2FI+8eNGycaNmwoDh06JE6dOiWio6NFdHS0cr8lvu937NghXFxcxObNm8XFixfF2LFjhY+Pj3I274svvihmzJihLP/zzz+LOnXqiHfffVdcunRJJCYmakzF4OPjI/bs2SP++9//ioEDB1p0KgZjtv/u3bvijTfeEKmpqSIjI0N89913om3btiI8PFyvH48MruzArVu3xLBhw4SHh4fw8vISo0aNEnfv3lXuz8jIEADE4cOHhRBCXL9+XTz55JPC399fODk5iUceeUQ8//zz4vLlyyrn/eOPP8STTz4pXF1dhZ+fn5g6dapKqgJLoW/7Fb/aNf3LyMgQQpRP627durXw8PAQ7u7uolWrVmL9+vVCLpeboYXamaLtQtjucy+EEImJiRrbr7hre/r0adGpUyfh7e0tpFKpiIiIEIsWLbKou3ZCmKbtupzXUhjS/vv374v/+7//E3Xr1hVubm7iX//6l8jKylLut9T3/erVq0XDhg2Fs7Oz6Nixozh27JhyX7du3UR8fLxK+Z07d4qmTZsKZ2dn8eijj4pvv/1WZX9ZWZmYM2eOCAgIEC4uLqJXr17i119/rY2mGMSY7b93756IjY0V9evXF05OTqJRo0ZizJgxKqlndCERwoLmjhMRERFZOc4WJCIiIjIiBldERERERsTgioiIiMiIGFwRERERGRGDKyIiIiIjYnBFREREZEQMroiIiIiMiMEVERERkRExuCIiIiIyIgZXRFTrunfvjkmTJpm7GtWylnpW5datW/D398cff/xRo/MMHToUy5YtM06liGwcl78hIqMZOXIktmzZAgCoU6cOfH190bJlSwwbNgwjR46Eg0P577m8vDw4OTnB09Oz2nN2794drVu3xsqVK01ZdY30qaelmjJlCu7evYuNGzfW6DxpaWl44oknkJGRAW9vbyPVjsg28c4VERlVnz59kJWVhT/++AP79+9Hjx49MHHiRPTr1w8PHz4EAPj6+lpFwGIt9dTm3r17+Oijj/DSSy/V+FwtWrRAkyZNsG3bNiPUjMi2MbgiIqNycXGBTCZDUFAQ2rZti1mzZmHPnj3Yv38/Nm/eDEC9u+2LL75AVFQUXF1dUa9ePcTExKCoqAgjR47E999/j1WrVkEikUAikSi7t5KSktC1a1f4+PigXr166NevH9LT05Xn7N69O15//XVMnz4dvr6+kMlkmDt3rkpdy8rKsHTpUoSFhcHFxQUNGzbEW2+9pXIORT2rezxNDDlm0aJFyrZW/GfInbt9+/bBxcUFjz32mEqbXnvtNUyaNAl169ZFQEAANm7ciKKiIowaNQqenp4ICwvD/v371c7Xv39/7NixQ+96ENkbBldEZHI9e/ZEq1at8NVXX6nty8rKwrBhwzB69GhcunQJR44cwdNPPw0hBFatWoXo6GiMGTMGWVlZyMrKQnBwMACgqKgIU6ZMwalTp5CSkgIHBwf861//QllZmfLcW7Zsgbu7O44fP46lS5di/vz5SE5OVu6fOXMm3n77bcyZMwcXL17E9u3bERAQoLENujyeMY557bXXlG3NysrCmDFj0KhRIzz77LPVXufKfvzxR7Rr105t+5YtW+Dn54cTJ07gtddew/jx4zF48GB07twZZ86cQWxsLF588UXcu3dP5biOHTvixIkTKC4u1rsuRHZFEBEZSXx8vBg4cKDGfUOGDBERERFCCCG6desmJk6cKIQQ4vTp0wKA+OOPPzQeV7FsVW7evCkAiF9++UV5XNeuXVXKdOjQQbz55ptCCCEKCgqEi4uL2Lhxo9ZzVvXYlR9PF/oeM3v2bNGoUSORkZGh3PbNN9+Ipk2birCwsCrrLoQQAwcOFKNHj1bZVvm6PHz4ULi7u4sXX3xRuS0rK0sAEKmpqSrHnj9/vsrniojK8c4VEdUKIQQkEona9latWqFXr16IiorC4MGDsXHjRty+fbva8125cgXDhg1D48aN4eXlhZCQEABAZmamskzLli1VjgkMDMSNGzcAAJcuXUJxcTF69eqlU/11eTxjHKOQkJCArVu34siRI8rjHj58iClTpuDQoUM4e/Ys3nnnHdy6dUvrOe7fvw+pVKq2veJ1cXR0RL169RAVFaXcprh7p7hWCq6urgCgdkeLiFQxuCKiWnHp0iWEhoaqbXd0dERycjL279+PyMhIrF69Gs2aNUNGRkaV5+vfvz/y8vKwceNGHD9+HMePHwcAlJSUKMs4OTmpHCORSJRdcopAQVe6PJ4xjgGAxMREfPLJJyqBFQCcOHECjz76KIKCguDh4YEnn3wSBw8e1HoePz8/jYGqputScZsiCK7cfZmXlwcAqF+/fpX1J7J3DK6IyOQOHTqEX375Bc8884zG/RKJBF26dMG8efNw9uxZODs74+uvvwYAODs7Qy6Xq5S/desWfv31V8yePRu9evVCRESETne7KgoPD4erqytSUlKqLWvI4xlax8TERGzZskUtsAKAv//+G0FBQcq/g4KCcP36da3natOmDS5evFjtY+oqLS0NjzzyCPz8/Ix2TiJbVMfcFSAi21JcXIzs7GzI5XLk5OQgKSkJixcvRr9+/TBixAi18sePH0dKSgpiY2Ph7++P48eP4+bNm4iIiAAAhISE4Pjx4/jjjz/g4eEBX19f1K1bF/Xq1cOGDRsQGBiIzMxMzJgxQ696SqVSvPnmm5g+fTqcnZ3RpUsX3Lx5ExcuXFBLXWDI4xlyzMKFC7Fu3Trs3bsXUqkU2dnZynO5uLjo1T4AiIuLw8yZM3H79m3UrVtX7+Mr+/HHHxEbG1vj8xDZOt65IiKjSkpKQmBgIEJCQtCnTx8cPnwY7733Hvbs2QNHR0e18l5eXvjhhx/w1FNPoWnTppg9ezaWLVuGJ598EgDwxhtvwNHREZGRkahfvz4yMzPh4OCAHTt24PTp02jRogUmT56Md955R++6zpkzB1OnTkVCQgIiIiIwZMgQtXFGAAx6PH2PEULgnXfewc2bNxEdHY3AwEDlv//+978AgAYNGqjcqbp+/ToaNGig9ZxRUVFo27Ytdu7cWd2lqNaDBw+we/dujBkzpsbnIrJ1zNBORGQlHj58iIiICBw5cgTe3t5o164djh49inr16mk95ttvv8W0adOQlpamzJBviHXr1uHrr7+ucowXEZVjtyARkZWoU6cOli1bhh49eqCsrAzTp0+vMrACgL59++LKlSu4fv26MkeYIZycnLB69WqDjyeyJ7xzRURERGREHHNFREREZEQMroiIiIiMiMEVERERkRExuCIiIiIyIgZXREREREbE4IqIiIjIiBhcERERERkRgysiIiIiI2JwRURERGREDK6IiIiIjIjBFREREZERMbgiIiIiMqL/BwTo0TWstaYOAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Incertidumbre Comparada: 4.7188706174456153e-05 T\n",
      "Incertidumbre Propagacion Errores: 4.252791276759526e-06 T\n",
      "Incertidumbre Maquina: 2e-05 T\n",
      "Incertidumbre: 5.142820455803254e-05 T\n"
     ]
    }
   ],
   "source": [
    "# Datos experimentales\n",
    "A = [[0.82, 0.82, 0.82, 0.82, 0.83, 0.84, 0.85, 0.85, 0.86, 0.87, 0.88, 0.89, 0.91, 0.92, 0.94, 0.96, 0.97, 0.99, 1.02, 1.03, 1.04, 1.06, 1.08, 1.10, 1.12,\n",
    "      1.13, 1.15, 1.16, 1.18, 1.20, 1.22, 1.22, 1.24, 1.25, 1.26, 1.26, 1.27, 1.27, 1.27, 1.27, 1.26, 1.25, 1.25, 1.24, 1.22, 1.21, 1.20, 1.18, 1.16, 1.13,\n",
    "      1.10, 1.08, 1.07, 1.04, 1.02, 0.99, 0.96, 0.94, 0.92, 0.89, 0.86, 0.83, 0.81],\n",
    "     [0.81, 0.81, 0.81, 0.81, 0.82, 0.83, 0.83, 0.84, 0.85]]\n",
    "x = [0.01*0.5*i for i in range(-len(A[0]), len(A[1]))]\n",
    "\n",
    "z0 = 42.5\n",
    "\n",
    "B = [0.81, 0.83, 0.86, 0.89, 0.92, 0.94, 0.96, 0.99, 1.02, 1.04, 1.07, 1.08, 1.1, 1.13, 1.16, 1.18, 1.2, 1.21, 1.22, 1.24, 1.25, 1.25, 1.26, 1.27, 1.27, 1.27, 1.27, 1.26, 1.26, 1.25, 1.24, 1.22, 1.22, 1.2, 1.18, 1.16, 1.15, 1.13, 1.12, 1.1, 1.08, 1.06, 1.04, 1.03, 1.02, 0.99, 0.97, 0.96, 0.94, 0.92, 0.91, 0.89, 0.88, 0.87, 0.86, 0.85, 0.85, 0.84, 0.83, 0.82, 0.82, 0.82, 0.82, 0.81, 0.81, 0.81, 0.81, 0.82, 0.83, 0.83, 0.84, 0.85]\n",
    "B = [j*(10**-3) for j in B]\n",
    "B_ex = B\n",
    "\n",
    "title = \"Campo Magnético en función de Z para a = 0.4m\"\n",
    "\n",
    "graficar_con_z0(x, B_ex, title)\n",
    "\n",
    "# Datos teóricos\n",
    "R = 0.2\n",
    "a = R*2\n",
    "\n",
    "B = campo_magnetico_teorico(mu, I, N, R, x, a)\n",
    "graficar_con_z0(x, B, title)\n",
    "\n",
    "# Incertidumbre comparada a los valores esperados\n",
    "s_comparada = s_teorico(B, B_ex)\n",
    "print(f\"Incertidumbre Comparada: {s_comparada} T\")\n",
    "\n",
    "# Incertidumbre propagacion errores\n",
    "s_propagacion = propagacion_errores(sI, sZ, mu, N, R, a, x)\n",
    "print(f\"Incertidumbre Propagacion Errores: {s_propagacion} T\")\n",
    "\n",
    "# Incertidumbre maquina\n",
    "sB = 0.02 *10**-3\n",
    "print(f\"Incertidumbre Maquina: {sB} T\")\n",
    "\n",
    "# Media cuadrada de incertidumbres\n",
    "media_cuadrada = math.sqrt(s_comparada**2 + s_propagacion**2 + sB**2)\n",
    "print(f\"Incertidumbre: {media_cuadrada} T\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Segunda Parte"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "z = 0\n",
    "sI = 0.001\n",
    "\n",
    "# Propagacion errores para campo magnetico (B). Calculada para cada caso y luego con media cuadrada\n",
    "def propagacion_errores(sI, sB, a, I: tuple[float], B: tuple[float], R, N):\n",
    "    I.remove(0), B.remove(0)\n",
    "    error = [math.sqrt((-(2*B*R)/(N*((a**2/(4*R**2)+1)**(3/2)+1/(a**2/(4*R**2)+1)**(3/2))*I**2))**2 * sI**2 + ((2*R)/(I*N*((a**2/(4*R**2)+1)**(3/2)+1/(a**2/(4*R**2)+1)**(3/2))))**2 * sB**2) for I, B in zip(I,B)]\n",
    "    error_final = [j**2 for j in error]\n",
    "    return (math.sqrt(sum(error_final)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Para R = 0.4m"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "$cte_1$:\t3.238302e-04\n",
      "S($cte_1$): 1.0806559473542402e-06\n",
      "stdv:\t8.359556556951876e-06\n",
      "r:\t0.9999109216596249\n",
      "\n",
      "μ:\t 1.1895196893736476e-06\n",
      "s(μ):\t 1.0275598955989253e-07\n"
     ]
    }
   ],
   "source": [
    "a = R*2\n",
    "\n",
    "B = [0, 0.05, 0.12, 0.18, 0.25, 0.32, 0.38, 0.45, 0.51, 0.58, 0.64, 0.71, 0.78, 0.84, 0.91, 0.98, 1.05]\n",
    "B = [i*10**-3 for i in B]\n",
    "I = [0.2*i for i in range(len(B))]\n",
    "\n",
    "m1 = generar_grafica_sin_termino_indep(I, B, x_lbl= f\"I (A)\", y_lbl=f\"B (T)\", m_lbl=f\"$cte_1$\")[0]\n",
    "\n",
    "# Valor mu\n",
    "mu_exp_1 = m1*2*R*(1/N)*(1/(((1/((1+((z-a/2)/R)**2)**(3/2)))+(1/((1+((z+a/2)/R)**2)**(3/2))))))\n",
    "print(f\"\\n\\u03BC:\\t {mu_exp_1}\")\n",
    "\n",
    "# Incertidumbre de mu\n",
    "incertidumbre_mu_exp_1 = propagacion_errores(sI, sB, a, I, B, R, N)\n",
    "print(f\"s(\\u03BC):\\t {incertidumbre_mu_exp_1}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Para R = 0.2m"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "$cte_2$:\t6.705882e-04\n",
      "S($cte_2$): 3.1654675080318924e-06\n",
      "a:\t-1.1176470588235745e-05\n",
      "S(a):\t5.938943474752715e-06\n",
      "stdv:\t1.2787861891837121e-05\n",
      "r:\t0.9999775579525771\n",
      "\n",
      "μ:\t 1.217111103108174e-06\n",
      "s(μ):\t 1.5479392103767818e-07\n"
     ]
    }
   ],
   "source": [
    "a = R\n",
    "\n",
    "B = [0, 0.12, 0.25, 0.39, 0.53, 0.66, 0.79, 0.93, 1.06, 1.19, 1.33, 1.46, 1.60, 1.73, 1.87, 2.00, 2.14]\n",
    "B = [i*10**-3 for i in B]\n",
    "I = [0.2*i for i in range(len(B))]\n",
    "\n",
    "m2 = generar_grafica_con_termino_indep(I, B, x_lbl= f\"I (A)\", y_lbl=f\"B (T)\", m_lbl=f\"$cte_2$\")[0]\n",
    "\n",
    "mu_exp_2 = m2*2*R*(1/N)*(1/(((1/((1+((z-a/2)/R)**2)**(3/2)))+(1/((1+((z+a/2)/R)**2)**(3/2))))))\n",
    "print(f\"\\n\\u03BC:\\t {mu_exp_2}\")\n",
    "\n",
    "# Incertidumbre de mu\n",
    "incertidumbre_mu_exp_2 = propagacion_errores(sI, sB, a, I, B, R, N)\n",
    "print(f\"s(\\u03BC):\\t {incertidumbre_mu_exp_2}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Para R = 0.1m"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.0, 0.00015, 0.00032, 0.00049, 0.00066, 0.00083, 0.00101, 0.00118, 0.00135, 0.00152, 0.0016899999999999999, 0.0018700000000000001, 0.00204, 0.00221, 0.0023799999999999997, 0.00254, 0.00272]\n",
      "[0.0, 0.2, 0.4, 0.6000000000000001, 0.8, 1.0, 1.2000000000000002, 1.4000000000000001, 1.6, 1.8, 2.0, 2.2, 2.4000000000000004, 2.6, 2.8000000000000003, 3.0, 3.2]\n",
      "17\n",
      "True\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "$cte_3$:\t8.552696e-04\n",
      "S($cte_3$): 4.972699024991103e-06\n",
      "a:\t-1.7843137254902036e-05\n",
      "S(a):\t9.329610350270748e-06\n",
      "stdv:\t2.0088719343954376e-05\n",
      "r:\t0.9999731565820301\n",
      "\n",
      "μ:\t 1.2164820989408164e-06\n",
      "s(μ):\t 1.629173698204095e-07\n"
     ]
    }
   ],
   "source": [
    "a = R*0.5\n",
    "\n",
    "B = [0, 0.15, 0.32, 0.49, 0.66, 0.83, 1.01, 1.18, 1.35, 1.52, 1.69, 1.87, 2.04, 2.21, 2.38, 2.54, 2.72]\n",
    "B = [i*10**-3 for i in B]\n",
    "I = [0.2*i for i in range(len(B))]\n",
    "\n",
    "print(B)\n",
    "print(I)\n",
    "print(len(B))\n",
    "print(len(B)==len(I))\n",
    "\n",
    "\n",
    "m3 = generar_grafica_con_termino_indep(I, B, x_lbl= f\"I (A)\", y_lbl=f\"B (T)\", m_lbl=f\"$cte_3$\")[0]\n",
    "\n",
    "mu_exp_3 = m3*2*R*(1/N)*(1/(((1/((1+((z-a/2)/R)**2)**(3/2)))+(1/((1+((z+a/2)/R)**2)**(3/2))))))\n",
    "print(f\"\\n\\u03BC:\\t {mu_exp_3}\")\n",
    "\n",
    "# Incertidumbre de mu\n",
    "incertidumbre_mu_exp_3 = propagacion_errores(sI, sB, a, I, B, R, N)\n",
    "print(f\"s(\\u03BC):\\t {incertidumbre_mu_exp_3}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Densidad y Viscosidad"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Llenamos el vaso de precipitados con agua y dejamos reposar a Tª de Lab (20ºC-21,5ºC). Lo usaremos en la 3ª parte."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1ª Parte, Volumen Picnómetro"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Devuelve el volumen y su incertidumbre de una masa de liquido con su densidad\n",
    "# Importante las unidades de la densidad\n",
    "\n",
    "def volumen(m, s_m, rho):\n",
    "    volumen = m/rho\n",
    "    s_volumen = (1/rho)*s_m\n",
    "    return (volumen, s_volumen)\n",
    "\n",
    "def incertidumbre_densidad(m_ag, s_m_ag, m, s_m):\n",
    "    return math.sqrt(((1/m_ag)**2) * (s_m**2) + ((-m/(m_ag**2))**2) + (s_m_ag**2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Pesamos el picnómetro en seco, luego se lava con agua 3 veces. Tras cada líquido nuevo en el que tomamos medidas, microlavado."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "peso_picnometro_en_vacio = 19.094 # gramos\n",
    "s_peso = 0.001"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Picnómetro con Agua (Volumen Picnómetro)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "# La incertidumbre en todas las medidas será siempre 0.001 g\n",
    "peso_con_agua = [45.293, 45.280, 45.294, 45.291, 45.286, 45.307, 45.292, 45.281, 45.288, 45.286]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Valores finales: [45.293, 45.28, 45.294, 45.291, 45.286, 45.292, 45.281, 45.288, 45.286]\n",
      "Media masa:\t 40.759100000000004 g\n",
      "Media masa del agua:\t 21.665100000000002 g\n",
      "Incertidumbre Combinada: 1.432129944794736 g\n",
      "Phi:\t 9\n",
      "\n",
      "Volumen:\t 21.665100000000002 ml\n",
      "Incertidumbre Volumen:\t 1.432129944794736 ml\n"
     ]
    }
   ],
   "source": [
    "media_masa_con_agua, sc_ag, phi, x = media_con_exclusion(s_peso, peso_con_agua)\n",
    "print(f\"Valores finales: {x}\")\n",
    "\n",
    "masa_agua = media_masa_con_agua - peso_picnometro_en_vacio\n",
    "print(f\"Media masa:\\t {media_masa_con_agua} g\")\n",
    "print(f\"Media masa del agua:\\t {masa_agua} g\")\n",
    "print(f\"Incertidumbre Combinada: {sc_ag} g\")\n",
    "print(f\"Phi:\\t {phi}\")\n",
    "\n",
    "# Densidad del agua a 22ºC, 0.9977735 g/ml -> https://en.wikipedia.org/wiki/Density#Water\n",
    "rho = 1\n",
    "volumen_picnometro, s_volumen_picnometro = volumen(masa_agua, sc_ag, rho)\n",
    "\n",
    "print(f\"\\nVolumen:\\t {volumen_picnometro} ml\")\n",
    "print(f\"Incertidumbre Volumen:\\t {s_volumen_picnometro} ml\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Picnómetro con Alcohol (Densidad Alcohol)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "peso_con_alcohol = [40.240, 40.206, 40.189, 40.202, 40.174, 40.169, 40.157, 40.150, 40.155, 40.160]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Calcular densidad alcohol. Usaremos pº densidad conocida y p/pº = m_al/m_ag"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Valores finales: [40.206, 40.189, 40.202, 40.174, 40.169, 40.157, 40.15, 40.155, 40.16]\n",
      "Media masa:\t 17.062199999999997 g\n",
      "Incertidumbre Combinada: 1.2704149766469572 g\n",
      "Phi:\t 9\n",
      "Densidad Alcohol: 0.7875430992702547\n",
      "Incertidumbre Densidad Alcohol: 1.4337908018892964\n"
     ]
    }
   ],
   "source": [
    "media_masa, sc_alcohol, phi, x = media_con_exclusion(s_peso, peso_con_alcohol)\n",
    "print(f\"Valores finales: {x}\")\n",
    "\n",
    "masa_alcohol = media_masa - peso_picnometro_en_vacio\n",
    "print(f\"Media masa:\\t {masa_alcohol} g\")\n",
    "print(f\"Incertidumbre Combinada: {sc_alcohol} g\")\n",
    "print(f\"Phi:\\t {phi}\")\n",
    "\n",
    "rho_alcohol = masa_alcohol/masa_agua\n",
    "incertidumbre_rho_alcohol = incertidumbre_densidad(masa_agua, sc_ag, masa_alcohol, sc_alcohol)\n",
    "\n",
    "print(f\"Densidad Alcohol: {rho_alcohol}\")\n",
    "print(f\"Incertidumbre Densidad Alcohol: {incertidumbre_rho_alcohol}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Picnómetro con Acetona (Densidad Acetona)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "peso_con_acetona = [40.308, 40.265, 40.272, 40.194, 40.238, 40.234, 40.247, 40.264, 40.255, 40.257]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Valores finales: [40.308, 40.265, 40.272, 40.238, 40.234, 40.247, 40.264, 40.255, 40.257]\n",
      "Media masa:\t 17.14 g\n",
      "Incertidumbre Combinada: 1.2731501875269857 g\n",
      "Phi:\t 9\n",
      "Densidad Alcohol: 0.7911341281600361\n",
      "Incertidumbre Densidad Alcohol: 1.433800182610238\n"
     ]
    }
   ],
   "source": [
    "media_masa, sc_acetona, phi, x = media_con_exclusion(s_peso, peso_con_acetona)\n",
    "print(f\"Valores finales: {x}\")\n",
    "\n",
    "masa_acetona = media_masa - peso_picnometro_en_vacio\n",
    "print(f\"Media masa:\\t {masa_acetona} g\")\n",
    "print(f\"Incertidumbre Combinada: {sc_acetona} g\")\n",
    "print(f\"Phi:\\t {phi}\")\n",
    "\n",
    "rho_acetona = masa_acetona/masa_agua\n",
    "incertidumbre_rho_acetona = incertidumbre_densidad(masa_agua, sc_ag, masa_acetona, sc_acetona)\n",
    "\n",
    "print(f\"Densidad Alcohol: {rho_acetona}\")\n",
    "print(f\"Incertidumbre Densidad Alcohol: {incertidumbre_rho_acetona}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Ahora calculamos con los tres valores e incertidumbres obtenidos, la media del picnómetro y su incertidumbre."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2ª Parte, Densidades Sólidos"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "def incertidumbre_densidad_solido(msol, s_msol, m, s_m, mt, s_mt):\n",
    "    return math.sqrt(s_msol**2 * ((m-mt)/(msol+m-mt)**2)**2 + s_m**2 *(msol/(msol+m-mt)**2)**2 + s_mt**2 * (msol/(msol+m-mt)**2)**2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Sacamos del bote unos cuantos perdignones, que los ponemos en la placa y pesamos. Luego los metemos en el Picnómetro, lo llenamos de agua y lo pesamos de nuevo.\n",
    "\n",
    "Curiosidad: 1 bola = 0,04 g"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "peso_bolas_tarado = 13.427\n",
    "\n",
    "peso_con_bolas = [57.508, 57.512, 57.512, 57.567, 57.506, 57.508, 57.538, 57.541, 57.533, 57.511]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Valores finales: [57.508, 57.512, 57.512, 57.506, 57.508, 57.538, 57.541, 57.533, 57.511]\n",
      "Masa perdigones: (51.7669 +- 1.818908663304578) g con phi = 9\n",
      "Densidad bolas: (5.55018187830687 +- 5.311223332336093) g/ml\n"
     ]
    }
   ],
   "source": [
    "media_masa_bolas, sc_bolas, phi, x = media_con_exclusion(s_peso, peso_con_bolas)\n",
    "print(f\"Valores finales: {x}\")\n",
    "print(f\"Masa perdigones: ({media_masa_bolas} +- {sc_bolas}) g con phi = {phi}\")\n",
    "\n",
    "m = masa_agua + peso_picnometro_en_vacio\n",
    "rho_plomo = peso_bolas_tarado/(peso_bolas_tarado + m - media_masa_bolas)\n",
    "\n",
    "incertidumbre_rho_plomo = incertidumbre_densidad_solido(peso_bolas_tarado, s_peso, m, sc_ag, media_masa_bolas, sc_bolas)\n",
    "\n",
    "print(f\"Densidad bolas: ({rho_plomo} +- {incertidumbre_rho_plomo}) g/ml\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3ª Parte, Viscosimetría"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Sin tratamiento de errores, incerteza despreciable. La incerteza de tiempo es el tiempo de reacción humano: 3/4 s.\n",
    "Por tema de tiempo de medidas, primero usaremos Agua, luego Acetona y al final Alcohol.\n",
    "Tª agua: 22.3 ºC, Tª aire: 23.9 ºC."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Agua"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "# El tiempo se representará siempre en segundos\n",
    "s_humano = 1/4\n",
    "tiempo_agua = [108.35, 108.4, 108.57, 107.28, 107.47, 107.16, 107.12, 106.66, 106.65, 106.65]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Viscosidad dinamica agua: 0.009762147362016834 +- 0.00010046640100587253\n",
      "\n",
      "Valores finales: [108.35, 108.4, 108.57, 107.28, 107.47, 107.16, 107.12, 106.66, 106.65, 106.65]\n",
      "Tiempo Medio Agua: (107.431 +- 0.34503928922821353) s con phi = 9\n",
      "\n",
      "Constante k: 9.086899835258756e-05 +- 9.587807298048847e-07\n"
     ]
    }
   ],
   "source": [
    "t = 22.3\n",
    "s_t = 1\n",
    "e = math.e\n",
    "\n",
    "# Atopar viscosidad agua para temperatura\n",
    "n20 = 0.01\n",
    "n_agua = n20 * e**((1.2348*(20-t)-0.001467*(t-20)**2)/(t+96))\n",
    "g = -(9*(163*t**2+31296*t+15224080)*e**(((3087*(20-t))/2500-(1467*(t-20)**2)/1000000)/(t+96)))/(100000000*(t+96)**2)\n",
    "incertidumbre_n_agua = math.sqrt(s_t**2 * (g)**2)\n",
    "print(f\"Viscosidad dinamica agua: {n_agua} +- {incertidumbre_n_agua}\")\n",
    "\n",
    "media_tiempo_agua, sc_tiempo_agua, phi, x = media_con_exclusion(s_humano, tiempo_agua)\n",
    "print(f\"\\nValores finales: {x}\")\n",
    "print(f\"Tiempo Medio Agua: ({media_tiempo_agua} +- {sc_tiempo_agua}) s con phi = {phi}\")\n",
    "\n",
    "# Encontrar k = n/rho*t\n",
    "k = n_agua/media_tiempo_agua\n",
    "s_k = math.sqrt(incertidumbre_n_agua**2 * (1/(media_tiempo_agua))**2 + s_humano**2 * (n_agua/(media_tiempo_agua**2))**2)\n",
    "print(f\"\\nConstante k: {k} +- {s_k}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "def viscosidad(k, s_k, rho, s_rho, t, s_t):\n",
    "    n = k*rho*t\n",
    "    s_n = math.sqrt(s_k**2 * (rho*t)**2 + s_rho**2 * (k*t)**2 + s_t**2 * (k*rho)**2)\n",
    "    return (n, s_n)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Acetona"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "tiempo_acetona = [60.28, 60.50, 60.59, 59.38, 62.47, 60.33, 58.38, 60.63, 58.63, 58.34]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Valores finales: [60.28, 60.5, 60.59, 59.38, 62.47, 60.33, 58.38, 60.63, 58.63, 58.34]\n",
      "Tiempo Medio Agua: (59.952999999999996 +- 0.47757966176684385) s con phi = 9\n",
      "\n",
      "Viscosidad Acetona: 0.004309995137714949 +- 0.007811308702896435\n"
     ]
    }
   ],
   "source": [
    "media_tiempo_acetona, sc_tiempo_acetona, phi, x = media_con_exclusion(s_humano, tiempo_acetona)\n",
    "print(f\"\\nValores finales: {x}\")\n",
    "print(f\"Tiempo Medio Agua: ({media_tiempo_acetona} +- {sc_tiempo_acetona}) s con phi = {phi}\")\n",
    "\n",
    "n_acetona, incertidumbre_n_acetona = viscosidad(k, s_k, rho_acetona, incertidumbre_rho_acetona, media_tiempo_acetona, s_humano)\n",
    "print(f\"\\nViscosidad Acetona: {n_acetona} +- {incertidumbre_n_acetona}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Alcohol"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "tiempo_alcohol = [188.56, 193.50, 196.44, 195.63, 196.65, 198.72]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Valores finales: [188.56, 193.5, 196.44, 195.63, 196.65, 198.72]\n",
      "Tiempo Medio Agua: (194.91666666666666 +- 1.4672915335557701) s con phi = 5\n",
      "\n",
      "Viscosidad Alcohol: 0.013948870650702676 +- 0.02539556665598067\n"
     ]
    }
   ],
   "source": [
    "media_tiempo_alcohol, sc_tiempo_alcohol, phi, x = media_con_exclusion(s_humano, tiempo_alcohol)\n",
    "print(f\"\\nValores finales: {x}\")\n",
    "print(f\"Tiempo Medio Agua: ({media_tiempo_alcohol} +- {sc_tiempo_alcohol}) s con phi = {phi}\")\n",
    "\n",
    "n_alcohol, incertidumbre_n_alcohol = viscosidad(k, s_k, rho_alcohol, incertidumbre_rho_alcohol, media_tiempo_alcohol, s_humano)\n",
    "print(f\"\\nViscosidad Alcohol: {n_alcohol} +- {incertidumbre_n_alcohol}\")"
   ]
  }
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