220779_PragatiAgrawal_MatplotLib.ipynb

{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Jkm5uCvxb4RN"
      },
      "source": [
        "** * NOTE: ALL THE COMMANDS FOR PLOTTING A FIGURE SHOULD ALL GO IN THE SAME CELL. SEPARATING THEM OUT INTO MULTIPLE CELLS MAY CAUSE NOTHING TO SHOW UP. * **\n",
        "\n",
        "# Exercises\n",
        "\n",
        "Follow the instructions to recreate the plots using this data:\n",
        "\n",
        "## Data"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 67,
      "metadata": {
        "collapsed": true,
        "id": "va5GncRvb4RR"
      },
      "outputs": [],
      "source": [
        "import numpy as np\n",
        "x = np.arange(0,100)\n",
        "y = x*2\n",
        "z = x**2"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Neyn4aXGb4RS"
      },
      "source": [
        "** Import matplotlib.pyplot as plt and set %matplotlib inline if you are using the jupyter notebook. What command do you use if you aren't using the jupyter notebook?**"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 68,
      "metadata": {
        "collapsed": true,
        "id": "km2DkVZHb4RT"
      },
      "outputs": [],
      "source": [
        "import matplotlib.pyplot as plt\n",
        "%matplotlib inline"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "LyiQIrK8b4RT"
      },
      "source": [
        "## Exercise 1\n",
        "\n",
        "** Follow along with these steps: **\n",
        "* ** Create a figure object called fig using plt.figure() **\n",
        "* ** Use add_axes to add an axis to the figure canvas at [0,0,1,1]. Call this new axis ax. **\n",
        "* ** Plot (x,y) on that axes and set the labels and titles to match the plot below:**"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "fig=plt.figure()\n",
        "ax=fig.add_axes([0,0,1,1])\n",
        "ax.plot(x,y,'b')\n",
        "ax.set_xlabel('x')\n",
        "ax.set_ylabel('y')\n",
        "ax.set_title('title')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 599
        },
        "id": "hNIQnkTIcMt3",
        "outputId": "23aa961e-9baf-46c0-d05f-23adeb71c899"
      },
      "execution_count": 69,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0.5, 1.0, 'title')"
            ]
          },
          "metadata": {},
          "execution_count": 69
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "B0-uXPccb4RT",
        "outputId": "98cc7ac6-d5bd-477a-acef-9627f25b0cae"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "<matplotlib.text.Text at 0x111534c50>"
            ]
          },
          "execution_count": 4,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAAe4AAAFaCAYAAADYTL41AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
            "text/plain": [
              "<matplotlib.figure.Figure at 0x10f0b1710>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ZZYnIjC-b4RU"
      },
      "source": [
        "## Exercise 2\n",
        "** Create a figure object and put two axes on it, ax1 and ax2. Located at [0,0,1,1] and [0.2,0.5,.2,.2] respectively.**"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "fig = plt.figure()\n",
        "\n",
        "ax1 = fig.add_axes([0,0,1,1])\n",
        "ax2 = fig.add_axes([0.2, 0.5, .2,.2])"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 546
        },
        "id": "qrblvcHEdqUP",
        "outputId": "ebc84959-406c-4dcd-9315-05e3d327ed49"
      },
      "execution_count": 70,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 2 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "yMcUmcDAb4RV",
        "outputId": "a1731948-58b7-474f-933a-e0c218151448"
      },
      "outputs": [
        {
          "data": {
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAAdoAAAFBCAYAAADQRW4vAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\noP8HJ6vBZ8lJosUAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<matplotlib.figure.Figure at 0x1144d8160>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "976No7Dnb4RV"
      },
      "source": [
        "** Now plot (x,y) on both axes. And call your figure object to show it.**"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "ax1.plot(x, y, 'r')\n",
        "ax1.set_xlabel('x')\n",
        "ax1.set_ylabel('y')\n",
        "ax2.plot(y, x, 'r')\n",
        "ax2.set_xlabel('x')\n",
        "ax2.set_ylabel('y')\n",
        "fig"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 560
        },
        "id": "YOIi8qJPeURv",
        "outputId": "cf794429-1034-4759-dcb1-9b9080ea1782"
      },
      "execution_count": 71,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 2 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {},
          "execution_count": 71
        }
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "mwCt1-t_b4RV",
        "outputId": "3c3c586a-7981-4630-8cf4-36e3845aad8d"
      },
      "outputs": [
        {
          "data": {
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAAe4AAAFQCAYAAAB5151TAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nraoRPgAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<matplotlib.figure.Figure at 0x1144d8160>"
            ]
          },
          "execution_count": 42,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "BI5K_Upmb4RV"
      },
      "source": [
        "## Exercise 3\n",
        "\n",
        "** Create the plot below by adding two axes to a figure object at [0,0,1,1] and [0.2,0.5,.4,.4]**"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "fig = plt.figure()\n",
        "\n",
        "ax1 = fig.add_axes([0,0,1,1])\n",
        "ax2 = fig.add_axes([0.2, 0.5, .4,.4])"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 546
        },
        "id": "ASufQVKLfsHu",
        "outputId": "ae98a1db-3b76-48d1-973a-c1113b679d0c"
      },
      "execution_count": 72,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 2 Axes>"
            ],
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAAr4AAAIRCAYAAACszb5OAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAyZklEQVR4nO3df2zV1f3H8Vdb6C1GWnD99vbHrlZwigq02NquMEJYOptJcPxh7FcM7Qji1M4oN5tQUSqilDHg2wSrjSjDb6IrSoQY25RhJzFIF2KhCY5fwaJlxnuhc9zLirbQe75/GO6+tS30U3pvKef5SD5/9Oyc+3mfHT7y4vRzP58YY4wRAAAAcI2LHe4CAAAAgGgg+AIAAMAKBF8AAABYgeALAAAAKxB8AQAAYAWCLwAAAKxA8AUAAIAVCL4AAACwAsEXAAAAViD4AgAAwAqOg+/HH3+suXPnKj09XTExMdqxY8dlx+zevVt33XWXXC6XbrnlFm3ZsmUQpQIAAACD5zj4dnR0KCsrS9XV1QPqf+LECc2ZM0ezZ89WS0uLnnrqKT388MPauXOn42IBAACAwYoxxphBD46J0fbt2zVv3rx++yxdulR1dXX67LPPwm3//d//rTNnzqihoWGwpwYAAAAcGRXpEzQ1NamwsLBHW1FRkZ566ql+x3R2dqqzszP8cygU0jfffKMf/ehHiomJiVSpAAAAuEoYY3T27Fmlp6crNnZovpYW8eDr8/nkdrt7tLndbgWDQX377bcaM2ZMrzGVlZVauXJlpEsDAADAVe7kyZP68Y9/PCSfFfHgOxjl5eXyer3hnwOBgG688UadPHlSiYmJw1gZAAAAoiEYDMrj8Wjs2LFD9pkRD76pqany+/092vx+vxITE/vc7ZUkl8sll8vVqz0xMZHgCwAAYJGhvM014s/xLSgoUGNjY4+2Xbt2qaCgINKnBgAAAMIcB99///vfamlpUUtLi6TvH1fW0tKitrY2Sd/fplBSUhLu/+ijj6q1tVVPP/20jhw5oldeeUXvvPOOlixZMjQzAAAAAAbAcfD99NNPNW3aNE2bNk2S5PV6NW3aNK1YsUKS9PXXX4dDsCTdfPPNqqur065du5SVlaX169fr9ddfV1FR0RBNAQAAALi8K3qOb7QEg0ElJSUpEAhwjy8AAIAFIpH/In6PLwAAAHA1IPgCAADACgRfAAAAWIHgCwAAACsQfAEAAGAFgi8AAACsQPAFAACAFQi+AAAAsALBFwAAAFYg+AIAAMAKBF8AAABYgeALAAAAKxB8AQAAYAWCLwAAAKxA8AUAAIAVCL4AAACwAsEXAAAAViD4AgAAwAoEXwAAAFiB4AsAAAArEHwBAABgBYIvAAAArEDwBQAAgBUIvgAAALACwRcAAABWIPgCAADACgRfAAAAWIHgCwAAACsQfAEAAGAFgi8AAACsQPAFAACAFQi+AAAAsALBFwAAAFYg+AIAAMAKBF8AAABYgeALAAAAKxB8AQAAYAWCLxz5+OOPNXfuXKWnpysmJkY7duy47Jjdu3frrrvuksvl0i233KItW7ZEvE4AAIAfIvjCkY6ODmVlZam6unpA/U+cOKE5c+Zo9uzZamlp0VNPPaWHH35YO3fujHClAAAAPY0a7gIwsvzyl7/UL3/5ywH3r6mp0c0336z169dLkm6//Xbt2bNH//M//6OioqJIlQkAANALwRcR1dTUpMLCwh5tRUVFeuqpp/od09nZqc7OzvDPoVBI33zzjX70ox8pJiYmUqUCuAoZY3T27Fmlp6crNpZfUgK4MgRfRJTP55Pb7e7R5na7FQwG9e2332rMmDG9xlRWVmrlypXRKhHACHDy5En9+Mc/Hu4yAIxwBF9cdcrLy+X1esM/BwIB3XjjjTp58qQSExOHsTIA0RYMBuXxeDR27NjhLgXANYDgi4hKTU2V3+/v0eb3+5WYmNjnbq8kuVwuuVyuXu2JiYkEX8BS3OYEYChwwxQiqqCgQI2NjT3adu3apYKCgmGqCAAA2IrgC0f+/e9/q6WlRS0tLZK+f1xZS0uL2traJH1/m0JJSUm4/6OPPqrW1lY9/fTTOnLkiF555RW98847WrJkyXCUDwAALEbwhSOffvqppk2bpmnTpkmSvF6vpk2bphUrVkiSvv7663AIlqSbb75ZdXV12rVrl7KysrR+/Xq9/vrrPMoMAABEXYwxxgx3EZcTDAaVlJSkQCDAPZ4WYv0Be3H9A/aKxPXPji8AAACsQPAFAACAFQi+AAAAsALBFwAAAFYg+AIAAMAKBF8AAABYgeALAAAAKxB8AQAAYAWCLwAAAKxA8AUAAIAVCL4AAACwAsEXAAAAViD4AgAAwAoEXwAAAFiB4AsAAAArEHwBAABgBYIvAAAArEDwBQAAgBUIvgAAALACwRcAAABWIPgCAADACgRfAAAAWIHgCwAAACsQfAEAAGAFgi8AAACsQPAFAACAFQi+AAAAsALBF45VV1crMzNTCQkJys/P1759+y7Zv6qqSrfddpvGjBkjj8ejJUuW6LvvvotStQAAAN8j+MKRrVu3yuv1qqKiQvv371dWVpaKiop06tSpPvu//fbbWrZsmSoqKnT48GG98cYb2rp1q5555pkoVw4AAGxH8IUjGzZs0OLFi7Vw4ULdcccdqqmp0XXXXafNmzf32X/v3r2aMWOG5s+fr8zMTN1zzz168MEHL7tLDAAAMNQIvhiwrq4uNTc3q7CwMNwWGxurwsJCNTU19Tlm+vTpam5uDgfd1tZW1dfX6957741KzQAAABeNGu4CMHK0t7eru7tbbre7R7vb7daRI0f6HDN//ny1t7frZz/7mYwxunDhgh599NFL3urQ2dmpzs7O8M/BYHBoJgAAAKzGji8iavfu3Vq9erVeeeUV7d+/X++9957q6uq0atWqfsdUVlYqKSkpfHg8nihWDAAArlXs+GLAkpOTFRcXJ7/f36Pd7/crNTW1zzHPPfecFixYoIcffliSNGXKFHV0dOiRRx7R8uXLFRvb+99e5eXl8nq94Z+DwSDhFwAAXDF2fDFg8fHxysnJUWNjY7gtFAqpsbFRBQUFfY45d+5cr3AbFxcnSTLG9DnG5XIpMTGxxwEAAHCl2PGFI16vV6WlpcrNzVVeXp6qqqrU0dGhhQsXSpJKSkqUkZGhyspKSdLcuXO1YcMGTZs2Tfn5+Tp+/Liee+45zZ07NxyAAQAAooHgC0eKi4t1+vRprVixQj6fT9nZ2WpoaAh/4a2tra3HDu+zzz6rmJgYPfvss/rqq6/0X//1X5o7d65eeuml4ZoCAACwVIzp7/fNl1BdXa0//vGP8vl8ysrK0saNG5WXl9dv/6qqKr366qtqa2tTcnKy7r//flVWViohIWFA5wsGg0pKSlIgEODX3hZi/QF7cf0D9orE9e/4Hl/e3AUAAICRyHHw5c1dAAAAGIkcBd9ovbmrs7NTwWCwxwEAAABcCUdfbovWm7sqKyu1cuVKJ6UBAAAAlxTx5/gO5s1d5eXlCgQC4ePkyZORLhMAAADXOEc7vtF6c5fL5ZLL5XJSGgAAAHBJjnZ8o/XmLgAAAGCoOX6BBW/uAgAAwEjkOPjy5i4AAACMRIN6c1u08eYeu7H+gL24/gF7XRVvbgMAAABGIoIvAAAArEDwBQAAgBUIvgAAALACwRcAAABWIPgCAADACgRfAAAAWIHgCwAAACsQfAEAAGAFgi8AAACsQPAFAACAFQi+AAAAsALBFwAAAFYg+AIAAMAKBF8AAABYgeALAAAAKxB8AQAAYAWCLwAAAKxA8IVj1dXVyszMVEJCgvLz87Vv375L9j9z5ozKysqUlpYml8ulW2+9VfX19VGqFgAA4HujhrsAjCxbt26V1+tVTU2N8vPzVVVVpaKiIh09elQpKSm9+nd1dekXv/iFUlJStG3bNmVkZOjLL7/UuHHjol88AACwGsEXjmzYsEGLFy/WwoULJUk1NTWqq6vT5s2btWzZsl79N2/erG+++UZ79+7V6NGjJUmZmZnRLBkAAEAStzrAga6uLjU3N6uwsDDcFhsbq8LCQjU1NfU55v3331dBQYHKysrkdrs1efJkrV69Wt3d3f2ep7OzU8FgsMcBAABwpQi+GLD29nZ1d3fL7Xb3aHe73fL5fH2OaW1t1bZt29Td3a36+no999xzWr9+vV588cV+z1NZWamkpKTw4fF4hnQeAADATgRfRFQoFFJKSopee+015eTkqLi4WMuXL1dNTU2/Y8rLyxUIBMLHyZMno1gxAAC4VnGPLwYsOTlZcXFx8vv9Pdr9fr9SU1P7HJOWlqbRo0crLi4u3Hb77bfL5/Opq6tL8fHxvca4XC65XK6hLR4AAFiPHV8MWHx8vHJyctTY2BhuC4VCamxsVEFBQZ9jZsyYoePHjysUCoXbjh07prS0tD5DLwAAQKQQfOGI1+vVpk2b9Oabb+rw4cN67LHH1NHREX7KQ0lJicrLy8P9H3vsMX3zzTd68skndezYMdXV1Wn16tUqKysbrikAAABLcasDHCkuLtbp06e1YsUK+Xw+ZWdnq6GhIfyFt7a2NsXG/uffUx6PRzt37tSSJUs0depUZWRk6Mknn9TSpUuHawoAAMBSMcYYM9xFXE4wGFRSUpICgYASExOHuxxEGesP2IvrH7BXJK5/bnUAAACAFQi+AAAAsALBFwAAAFYg+AIAAMAKBF8AAABYgeALAAAAKxB8AQAAYAWCLwAAAKxA8AUAAIAVCL4AAACwAsEXAAAAViD4AgAAwAoEXwAAAFiB4AsAAAArEHwBAABgBYIvAAAArEDwBQAAgBUIvgAAALACwRcAAABWIPgCAADACgRfAAAAWIHgCwAAACsQfAEAAGAFgi8AAACsQPAFAACAFQi+AAAAsALBFwAAAFYg+MKx6upqZWZmKiEhQfn5+dq3b9+AxtXW1iomJkbz5s2LbIEAAAB9IPjCka1bt8rr9aqiokL79+9XVlaWioqKdOrUqUuO++KLL/S73/1OM2fOjFKlAAAAPRF84ciGDRu0ePFiLVy4UHfccYdqamp03XXXafPmzf2O6e7u1kMPPaSVK1dqwoQJUawWAADgPwi+GLCuri41NzersLAw3BYbG6vCwkI1NTX1O+6FF15QSkqKFi1aNKDzdHZ2KhgM9jgAAACuFMEXA9be3q7u7m653e4e7W63Wz6fr88xe/bs0RtvvKFNmzYN+DyVlZVKSkoKHx6P54rqBgAAkAi+iKCzZ89qwYIF2rRpk5KTkwc8rry8XIFAIHycPHkyglUCAABbjBruAjByJCcnKy4uTn6/v0e73+9Xampqr/6ff/65vvjiC82dOzfcFgqFJEmjRo3S0aNHNXHixF7jXC6XXC7XEFcPAABsx44vBiw+Pl45OTlqbGwMt4VCITU2NqqgoKBX/0mTJungwYNqaWkJH/fdd59mz56tlpYWbmEAAABRxY4vHPF6vSotLVVubq7y8vJUVVWljo4OLVy4UJJUUlKijIwMVVZWKiEhQZMnT+4xfty4cZLUqx0AACDSCL5wpLi4WKdPn9aKFSvk8/mUnZ2thoaG8Bfe2traFBvLLxIAAMDVJ8YYY4a7iMsJBoNKSkpSIBBQYmLicJeDKGP9AXtx/QP2isT1z9YcAAAArEDwBQAAgBUIvgAAALACwRcAAABWIPgCAADACgRfAAAAWIHgCwAAACsQfAEAAGAFgi8AAACsQPAFAACAFQi+AAAAsALBFwAAAFYg+AIAAMAKBF8AAABYgeALAAAAKxB8AQAAYAWCLwAAAKxA8AUAAIAVBhV8q6urlZmZqYSEBOXn52vfvn2X7H/mzBmVlZUpLS1NLpdLt956q+rr6wdVMAAAADAYo5wO2Lp1q7xer2pqapSfn6+qqioVFRXp6NGjSklJ6dW/q6tLv/jFL5SSkqJt27YpIyNDX375pcaNGzcU9QMAAAAD4jj4btiwQYsXL9bChQslSTU1Naqrq9PmzZu1bNmyXv03b96sb775Rnv37tXo0aMlSZmZmVdWNQAAAOCQo1sdurq61NzcrMLCwv98QGysCgsL1dTU1OeY999/XwUFBSorK5Pb7dbkyZO1evVqdXd393uezs5OBYPBHgcAAABwJRwF3/b2dnV3d8vtdvdod7vd8vl8fY5pbW3Vtm3b1N3drfr6ej333HNav369XnzxxX7PU1lZqaSkpPDh8XiclAkAAAD0EvGnOoRCIaWkpOi1115TTk6OiouLtXz5ctXU1PQ7pry8XIFAIHycPHky0mUCAADgGufoHt/k5GTFxcXJ7/f3aPf7/UpNTe1zTFpamkaPHq24uLhw2+233y6fz6euri7Fx8f3GuNyueRyuZyUBgAAAFySox3f+Ph45eTkqLGxMdwWCoXU2NiogoKCPsfMmDFDx48fVygUCrcdO3ZMaWlpfYZeAAAAIBIc3+rg9Xq1adMmvfnmmzp8+LAee+wxdXR0hJ/yUFJSovLy8nD/xx57TN98842efPJJHTt2THV1dVq9erXKysqGbhYAAADAZTh+nFlxcbFOnz6tFStWyOfzKTs7Ww0NDeEvvLW1tSk29j952uPxaOfOnVqyZImmTp2qjIwMPfnkk1q6dOnQzQIAAAC4jBhjjBnuIi4nGAwqKSlJgUBAiYmJw12O9aqrq/XHP/5RPp9PWVlZ2rhxo/Ly8vrsu2nTJv3v//6vPvvsM0lSTk6OVq9e3W//vrD+gL24/gF7ReL6j/hTHXBtufjmvoqKCu3fv19ZWVkqKirSqVOn+uy/e/duPfjgg/roo4/U1NQkj8eje+65R1999VWUKwcAALZjxxeO5Ofn6+6779bLL78s6fsvN3o8Hj3xxBN9vrnvh7q7uzV+/Hi9/PLLKikpGdA5WX/AXlz/gL3Y8cWwGsyb+37o3LlzOn/+vG644YZ++/DmPgAAEAkEXwzYYN7c90NLly5Venp6j/D8Q7y5DwAARALBF1GzZs0a1dbWavv27UpISOi3H2/uAwAAkeD4cWaw12De3HfRunXrtGbNGn344YeaOnXqJfvy5j4AABAJ7PhiwAbz5j5JWrt2rVatWqWGhgbl5uZGo1QAAIBe2PGFI16vV6WlpcrNzVVeXp6qqqp6vbkvIyNDlZWVkqQ//OEPWrFihd5++21lZmaG7wW+/vrrdf311w/bPAAAgH0IvnDE6Zv7Xn31VXV1den+++/v8TkVFRV6/vnno1k6AACwHM/xxVWP9QfsxfUP2Ivn+AIAAACDRPAFAACAFQi+AAAAsALBFwAAAFYg+AIAAMAKBF8AAABYgeALAAAAKxB8AQAAYAWCLwAAAKxA8AUAAIAVCL4AAACwAsEXAAAAViD4AgAAwAoEXwAAAFiB4AsAAAArEHwBAABgBYIvAAAArEDwBQAAgBUIvgAAALACwRcAAABWIPgCAADACgRfAAAAWIHgCwAAACsQfAEAAGAFgi8AAACsQPAFAACAFQi+AAAAsALBF45VV1crMzNTCQkJys/P1759+y7Z/91339WkSZOUkJCgKVOmqL6+PkqVAgAA/AfBF45s3bpVXq9XFRUV2r9/v7KyslRUVKRTp0712X/v3r168MEHtWjRIh04cEDz5s3TvHnz9Nlnn0W5cgAAYLsYY4wZ7iIuJxgMKikpSYFAQImJicNdjtXy8/N199136+WXX5YkhUIheTwePfHEE1q2bFmv/sXFxero6NAHH3wQbvvpT3+q7Oxs1dTUDOicrD9gL65/wF6RuP5HDcmnwApdXV1qbm5WeXl5uC02NlaFhYVqamrqc0xTU5O8Xm+PtqKiIu3YsaPf83R2dqqzszP8cyAQkPT9BQDALhev+xGwRwNgBCD4YsDa29vV3d0tt9vdo93tduvIkSN9jvH5fH329/l8/Z6nsrJSK1eu7NXu8XgGUTWAa8E///lPJSUlDXcZAEY4gi+uOuXl5T12ic+cOaObbrpJbW1tI/4vvmAwKI/Ho5MnT474X9syl6vXtTSfQCCgG2+8UTfccMNwlwLgGkDwxYAlJycrLi5Ofr+/R7vf71dqamqfY1JTUx31lySXyyWXy9WrPSkpacT/JX5RYmIic7kKXUtzka6t+cTG8l1sAFeO/5JgwOLj45WTk6PGxsZwWygUUmNjowoKCvocU1BQ0KO/JO3atavf/gAAAJHCji8c8Xq9Ki0tVW5urvLy8lRVVaWOjg4tXLhQklRSUqKMjAxVVlZKkp588knNmjVL69ev15w5c1RbW6tPP/1Ur7322nBOAwAAWIjgC0eKi4t1+vRprVixQj6fT9nZ2WpoaAh/ga2tra3HrySnT5+ut99+W88++6yeeeYZ/eQnP9GOHTs0efLkAZ/T5XKpoqKiz9sfRhrmcnW6luYiXVvzuZbmAmD48RxfAAAAXHUikf+4xxcAAABWIPgCAADACgRfAAAAWIHgCwAAACsQfHFVqK6uVmZmphISEpSfn699+/Zdsv+7776rSZMmKSEhQVOmTFF9fX2UKr08J3PZtGmTZs6cqfHjx2v8+PEqLCy87Nyjyem6XFRbW6uYmBjNmzcvsgU64HQuZ86cUVlZmdLS0uRyuXTrrbdeNX/OnM6lqqpKt912m8aMGSOPx6MlS5bou+++i1K1/fv44481d+5cpaenKyYmRjt27LjsmN27d+uuu+6Sy+XSLbfcoi1btkS8TgDXEDMCBAIBI8kEAoHhLgURUFtba+Lj483mzZvN3//+d7N48WIzbtw44/f7++z/ySefmLi4OLN27Vpz6NAh8+yzz5rRo0ebgwcPRrny3pzOZf78+aa6utocOHDAHD582Pz61782SUlJ5h//+EeUK+/N6VwuOnHihMnIyDAzZ840v/rVr6JT7GU4nUtnZ6fJzc019957r9mzZ485ceKE2b17t2lpaYly5b05nctbb71lXC6Xeeutt8yJEyfMzp07TVpamlmyZEmUK++tvr7eLF++3Lz33ntGktm+ffsl+7e2tprrrrvOeL1ec+jQIbNx40YTFxdnGhoaolMwgKiKRP4j+GLY5eXlmbKysvDP3d3dJj093VRWVvbZ/4EHHjBz5szp0Zafn29+85vfRLTOgXA6lx+6cOGCGTt2rHnzzTcjVeKADWYuFy5cMNOnTzevv/66KS0tvWqCr9O5vPrqq2bChAmmq6srWiUOmNO5lJWVmZ///Oc92rxer5kxY0ZE63RqIMH36aefNnfeeWePtuLiYlNUVBTBygAMl0jkP251wLDq6upSc3OzCgsLw22xsbEqLCxUU1NTn2Oampp69JekoqKifvtHy2Dm8kPnzp3T+fPndcMNN0SqzAEZ7FxeeOEFpaSkaNGiRdEoc0AGM5f3339fBQUFKisrk9vt1uTJk7V69Wp1d3dHq+w+DWYu06dPV3Nzc/h2iNbWVtXX1+vee++NSs1D6Wq99gGMHLy5DcOqvb1d3d3d4Te/XeR2u3XkyJE+x/h8vj77+3y+iNU5EIOZyw8tXbpU6enpvf5yj7bBzGXPnj1644031NLSEoUKB24wc2ltbdVf//pXPfTQQ6qvr9fx48f1+OOP6/z586qoqIhG2X0azFzmz5+v9vZ2/exnP5MxRhcuXNCjjz6qZ555JholD6n+rv1gMKhvv/1WY8aMGabKAIwU7PgCV4k1a9aotrZW27dvV0JCwnCX48jZs2e1YMECbdq0ScnJycNdzhULhUJKSUnRa6+9ppycHBUXF2v58uWqqakZ7tIc2717t1avXq1XXnlF+/fv13vvvae6ujqtWrVquEsDgKhjxxfDKjk5WXFxcfL7/T3a/X6/UlNT+xyTmprqqH+0DGYuF61bt05r1qzRhx9+qKlTp0ayzAFxOpfPP/9cX3zxhebOnRtuC4VCkqRRo0bp6NGjmjhxYmSL7sdg1iUtLU2jR49WXFxcuO3222+Xz+dTV1eX4uPjI1pzfwYzl+eee04LFizQww8/LEmaMmWKOjo69Mgjj2j58uWKjR05+x/9XfuJiYns9gIYkJHzXzxck+Lj45WTk6PGxsZwWygUUmNjowoKCvocU1BQ0KO/JO3atavf/tEymLlI0tq1a7Vq1So1NDQoNzc3GqVeltO5TJo0SQcPHlRLS0v4uO+++zR79my1tLTI4/FEs/weBrMuM2bM0PHjx8PhXZKOHTumtLS0YQu90uDmcu7cuV7h9mKgN8ZErtgIuFqvfQAjyJB9TS6CeKrDta22tta4XC6zZcsWc+jQIfPII4+YcePGGZ/PZ4wxZsGCBWbZsmXh/p988okZNWqUWbdunTl8+LCpqKi4qh5n5mQua9asMfHx8Wbbtm3m66+/Dh9nz54drimEOZ3LD11NT3VwOpe2tjYzduxY89vf/tYcPXrUfPDBByYlJcW8+OKLwzWFMKdzqaioMGPHjjV//vOfTWtrq/nLX/5iJk6caB544IHhmkLY2bNnzYEDB8yBAweMJLNhwwZz4MAB8+WXXxpjjFm2bJlZsGBBuP/Fx5n9/ve/N4cPHzbV1dU8zgy4hvE4M4LvNWvjxo3mxhtvNPHx8SYvL8/87W9/C/9vs2bNMqWlpT36v/POO+bWW2818fHx5s477zR1dXVRrrh/TuZy0003GUm9joqKiugX3gen6/L/XU3B1xjnc9m7d6/Jz883LpfLTJgwwbz00kvmwoULUa66b07mcv78efP888+biRMnmoSEBOPxeMzjjz9u/vWvf0W/8B/46KOP+vzzf7H+0tJSM2vWrF5jsrOzTXx8vJkwYYL505/+FPW6AURHJPJfjDFX/++6gsGgkpKSFAgElJiYONzlAAAAIMIikf+4xxcAAABWIPgCAADACgRfAAAAWIHgCwAAACsQfAEAAGAFgi8AAACsQPAFAACAFQi+AAAAsALBFwAAAFYg+AIAAMAKBF8AAABYgeALAAAAKxB8AQAAYAWCLwAAAKxA8AUAAIAVCL4AAACwAsEXAAAAViD4AgAAwAoEXwAAAFiB4AsAAAArEHwBAABgBYIvAAAArDCo4FtdXa3MzEwlJCQoPz9f+/btG9C42tpaxcTEaN68eYM5LQAAADBojoPv1q1b5fV6VVFRof379ysrK0tFRUU6derUJcd98cUX+t3vfqeZM2cOulgAAABgsBwH3w0bNmjx4sVauHCh7rjjDtXU1Oi6667T5s2b+x3T3d2thx56SCtXrtSECROuqGAAAABgMBwF366uLjU3N6uwsPA/HxAbq8LCQjU1NfU77oUXXlBKSooWLVo0oPN0dnYqGAz2OAAAAIAr4Sj4tre3q7u7W263u0e72+2Wz+frc8yePXv0xhtvaNOmTQM+T2VlpZKSksKHx+NxUiYAAADQS0Sf6nD27FktWLBAmzZtUnJy8oDHlZeXKxAIhI+TJ09GsEoAAADYYJSTzsnJyYqLi5Pf7+/R7vf7lZqa2qv/559/ri+++EJz584Nt4VCoe9PPGqUjh49qokTJ/Ya53K55HK5nJQGAAAAXJKjHd/4+Hjl5OSosbEx3BYKhdTY2KiCgoJe/SdNmqSDBw+qpaUlfNx3332aPXu2WlpauIUBAAAAUeNox1eSvF6vSktLlZubq7y8PFVVVamjo0MLFy6UJJWUlCgjI0OVlZVKSEjQ5MmTe4wfN26cJPVqBwAAACLJcfAtLi7W6dOntWLFCvl8PmVnZ6uhoSH8hbe2tjbFxvJCOAAAAFxdYowxZriLuJxgMKikpCQFAgElJiYOdzkAAACIsEjkP7ZmAQAAYAWCLwAAAKxA8AUAAIAVCL4AAACwAsEXAAAAViD4AgAAwAoEXwAAAFiB4AsAAAArEHwBAABgBYIvAAAArEDwBQAAgBUIvgAAALACwRcAAABWIPgCAADACgRfAAAAWIHgCwAAACsQfAEAAGAFgi8AAACsQPAFAACAFQi+AAAAsALBFwAAAFYg+AIAAMAKBF8AAABYgeALAAAAKxB8AQAAYAWCLwAAAKxA8AUAAIAVCL4AAACwAsEXAAAAViD4AgAAwAoEXwAAAFiB4AsAAAArEHwBAABgBYIvAAAArEDwBQAAgBUIvgAAALACwRcAAABWIPgCAADACgRfAAAAWIHgCwAAACsQfAEAAGAFgi8AAACsQPAFAACAFQi+AAAAsALBFwAAAFYg+AIAAMAKBF8AAABYgeALAAAAKxB8AQAAYAWCLwAAAKxA8AUAAIAVCL4AAACwAsEXAAAAViD4AgAAwAoEXwAAAFiB4AsAAAArEHwBAABgBYIvAAAArEDwBQAAgBUIvgAAALACwRcAAABWIPgCAADACgRfAAAAWIHgCwAAACsQfAEAAGAFgi8AAACsQPAFAACAFQi+AAAAsALBFwAAAFYg+AIAAMAKBF8AAABYgeALAAAAKxB8AQAAYAWCLwAAAKxA8AUAAIAVCL4AAACwAsEXAAAAViD4AgAAwAoEXwAAAFiB4AsAAAArEHwBAABgBYIvAAAArEDwBQAAgBUIvgAAALACwRcAAABWGFTwra6uVmZmphISEpSfn699+/b123fTpk2aOXOmxo8fr/Hjx6uwsPCS/QEAAIBIcBx8t27dKq/Xq4qKCu3fv19ZWVkqKirSqVOn+uy/e/duPfjgg/roo4/U1NQkj8eje+65R1999dUVFw8AAAAMVIwxxjgZkJ+fr7vvvlsvv/yyJCkUCsnj8eiJJ57QsmXLLju+u7tb48eP18svv6ySkpIBnTMYDCopKUmBQECJiYlOygUAAMAIFIn852jHt6urS83NzSosLPzPB8TGqrCwUE1NTQP6jHPnzun8+fO64YYb+u3T2dmpYDDY4wAAAACuhKPg297eru7ubrnd7h7tbrdbPp9vQJ+xdOlSpaen9wjPP1RZWamkpKTw4fF4nJQJAAAA9BLVpzqsWbNGtbW12r59uxISEvrtV15erkAgED5OnjwZxSoBAABwLRrlpHNycrLi4uLk9/t7tPv9fqWmpl5y7Lp167RmzRp9+OGHmjp16iX7ulwuuVwuJ6UBAAAAl+Roxzc+Pl45OTlqbGwMt4VCITU2NqqgoKDfcWvXrtWqVavU0NCg3NzcwVcLAAAADJKjHV9J8nq9Ki0tVW5urvLy8lRVVaWOjg4tXLhQklRSUqKMjAxVVlZKkv7whz9oxYoVevvtt5WZmRm+F/j666/X9ddfP4RTAQAAAPrnOPgWFxfr9OnTWrFihXw+n7Kzs9XQ0BD+wltbW5tiY/+zkfzqq6+qq6tL999/f4/Pqaio0PPPP39l1QMAAAAD5Pg5vsOB5/gCAADYZdif4wsAAACMVARfAAAAWIHgCwAAACsQfAEAAGAFgi8AAACsQPAFAACAFQi+AAAAsALBFwAAAFYg+AIAAMAKBF8AAABYgeALAAAAKxB8AQAAYAWCLwAAAKxA8AUAAIAVCL4AAACwAsEXAAAAViD4AgAAwAoEXwAAAFiB4AsAAAArEHwBAABgBYIvAAAArEDwBQAAgBUIvgAAALACwRcAAABWIPgCAADACgRfAAAAWIHgCwAAACsQfAEAAGAFgi8AAACsQPAFAACAFQi+AAAAsALBFwAAAFYg+AIAAMAKBF8AAABYgeALAAAAKxB8AQAAYAWCLwAAAKxA8AUAAIAVCL4AAACwAsEXAAAAViD4AgAAwAoEXwAAAFiB4AsAAAArEHwBAABgBYIvAAAArEDwBQAAgBUIvgAAALACwRcAAABWIPgCAADACgRfAAAAWIHgCwAAACsQfAEAAGAFgi8AAACsQPAFAACAFQi+AAAAsALBFwAAAFYg+AIAAMAKBF8AAABYgeALAAAAKxB8AQAAYAWCLwAAAKxA8AUAAIAVCL4AAACwAsEXAAAAViD4AgAAwAoEXwAAAFiB4AsAAAArEHwBAABgBYIvAAAArEDwBQAAgBUIvgAAALACwRcAAABWIPgCAADACgRfAAAAWIHgCwAAACsQfAEAAGAFgi8AAACsQPAFAACAFQi+AAAAsALBFwAAAFYg+AIAAMAKBF8AAABYgeALAAAAKxB8AQAAYAWCLwAAAKwwqOBbXV2tzMxMJSQkKD8/X/v27btk/3fffVeTJk1SQkKCpkyZovr6+kEVCwAAAAyW4+C7detWeb1eVVRUaP/+/crKylJRUZFOnTrVZ/+9e/fqwQcf1KJFi3TgwAHNmzdP8+bN02effXbFxQMAAAADFWOMMU4G5Ofn6+6779bLL78sSQqFQvJ4PHriiSe0bNmyXv2Li4vV0dGhDz74INz205/+VNnZ2aqpqRnQOYPBoJKSkhQIBJSYmOikXAAAAIxAkch/o5x07urqUnNzs8rLy8NtsbGxKiwsVFNTU59jmpqa5PV6e7QVFRVpx44d/Z6ns7NTnZ2d4Z8DgYCk7/8PAAAAwLXvYu5zuEd7SY6Cb3t7u7q7u+V2u3u0u91uHTlypM8xPp+vz/4+n6/f81RWVmrlypW92j0ej5NyAQAAMML985//VFJS0pB8lqPgGy3l5eU9donPnDmjm266SW1tbUM2cYwcwWBQHo9HJ0+e5FYXC7H+dmP97cb62y0QCOjGG2/UDTfcMGSf6Sj4JicnKy4uTn6/v0e73+9Xampqn2NSU1Md9Zckl8sll8vVqz0pKYk/+BZLTExk/S3G+tuN9bcb62+32Nihe/quo0+Kj49XTk6OGhsbw22hUEiNjY0qKCjoc0xBQUGP/pK0a9eufvsDAAAAkeD4Vgev16vS0lLl5uYqLy9PVVVV6ujo0MKFCyVJJSUlysjIUGVlpSTpySef1KxZs7R+/XrNmTNHtbW1+vTTT/Xaa68N7UwAAACAS3AcfIuLi3X69GmtWLFCPp9P2dnZamhoCH+Bra2trceW9PTp0/X222/r2Wef1TPPPKOf/OQn2rFjhyZPnjzgc7pcLlVUVPR5+wOufay/3Vh/u7H+dmP97RaJ9Xf8HF8AAABgJBq6u4UBAACAqxjBFwAAAFYg+AIAAMAKBF8AAABY4aoJvtXV1crMzFRCQoLy8/O1b9++S/Z/9913NWnSJCUkJGjKlCmqr6+PUqWIBCfrv2nTJs2cOVPjx4/X+PHjVVhYeNk/L7i6Ob3+L6qtrVVMTIzmzZsX2QIRUU7X/8yZMyorK1NaWppcLpduvfVW/g4YwZyuf1VVlW677TaNGTNGHo9HS5Ys0XfffRelajFUPv74Y82dO1fp6emKiYnRjh07Ljtm9+7duuuuu+RyuXTLLbdoy5Ytzk9srgK1tbUmPj7ebN682fz97383ixcvNuPGjTN+v7/P/p988omJi4sza9euNYcOHTLPPvusGT16tDl48GCUK8dQcLr+8+fPN9XV1ebAgQPm8OHD5te//rVJSkoy//jHP6JcOYaC0/W/6MSJEyYjI8PMnDnT/OpXv4pOsRhyTte/s7PT5Obmmnvvvdfs2bPHnDhxwuzevdu0tLREuXIMBafr/9ZbbxmXy2Xeeustc+LECbNz506TlpZmlixZEuXKcaXq6+vN8uXLzXvvvWckme3bt1+yf2trq7nuuuuM1+s1hw4dMhs3bjRxcXGmoaHB0XmviuCbl5dnysrKwj93d3eb9PR0U1lZ2Wf/Bx54wMyZM6dHW35+vvnNb34T0ToRGU7X/4cuXLhgxo4da958881IlYgIGsz6X7hwwUyfPt28/vrrprS0lOA7gjld/1dffdVMmDDBdHV1RatERJDT9S8rKzM///nPe7R5vV4zY8aMiNaJyBpI8H366afNnXfe2aOtuLjYFBUVOTrXsN/q0NXVpebmZhUWFobbYmNjVVhYqKampj7HNDU19egvSUVFRf32x9VrMOv/Q+fOndP58+d1ww03RKpMRMhg1/+FF15QSkqKFi1aFI0yESGDWf/3339fBQUFKisrk9vt1uTJk7V69Wp1d3dHq2wMkcGs//Tp09Xc3By+HaK1tVX19fW69957o1Izhs9QZT/Hb24bau3t7eru7g6/+e0it9utI0eO9DnG5/P12d/n80WsTkTGYNb/h5YuXar09PReFwSufoNZ/z179uiNN95QS0tLFCpEJA1m/VtbW/XXv/5VDz30kOrr63X8+HE9/vjjOn/+vCoqKqJRNobIYNZ//vz5am9v189+9jMZY3ThwgU9+uijeuaZZ6JRMoZRf9kvGAzq22+/1ZgxYwb0OcO+4wtciTVr1qi2tlbbt29XQkLCcJeDCDt79qwWLFigTZs2KTk5ebjLwTAIhUJKSUnRa6+9ppycHBUXF2v58uWqqakZ7tIQBbt379bq1av1yiuvaP/+/XrvvfdUV1enVatWDXdpGCGGfcc3OTlZcXFx8vv9Pdr9fr9SU1P7HJOamuqoP65eg1n/i9atW6c1a9boww8/1NSpUyNZJiLE6fp//vnn+uKLLzR37txwWygUkiSNGjVKR48e1cSJEyNbNIbMYK7/tLQ0jR49WnFxceG222+/XT6fT11dXYqPj49ozRg6g1n/5557TgsWLNDDDz8sSZoyZYo6Ojr0yCOPaPny5YqNZT/vWtVf9ktMTBzwbq90Fez4xsfHKycnR42NjeG2UCikxsZGFRQU9DmmoKCgR39J2rVrV7/9cfUazPpL0tq1a7Vq1So1NDQoNzc3GqUiApyu/6RJk3Tw4EG1tLSEj/vuu0+zZ89WS0uLPB5PNMvHFRrM9T9jxgwdP348/A8eSTp27JjS0tIIvSPMYNb/3LlzvcLtxX8Eff8dKVyrhiz7OfveXWTU1tYal8tltmzZYg4dOmQeeeQRM27cOOPz+YwxxixYsMAsW7Ys3P+TTz4xo0aNMuvWrTOHDx82FRUVPM5sBHO6/mvWrDHx8fFm27Zt5uuvvw4fZ8+eHa4p4Ao4Xf8f4qkOI5vT9W9razNjx441v/3tb83Ro0fNBx98YFJSUsyLL744XFPAFXC6/hUVFWbs2LHmz3/+s2ltbTV/+ctfzMSJE80DDzwwXFPAIJ09e9YcOHDAHDhwwEgyGzZsMAcOHDBffvmlMcaYZcuWmQULFoT7X3yc2e9//3tz+PBhU11dPXIfZ2aMMRs3bjQ33nijiY+PN3l5eeZvf/tb+H+bNWuWKS0t7dH/nXfeMbfeequJj483d955p6mrq4tyxRhKTtb/pptuMpJ6HRUVFdEvHEPC6fX//xF8Rz6n6793716Tn59vXC6XmTBhgnnppZfMhQsXolw1hoqT9T9//rx5/vnnzcSJE01CQoLxeDzm8ccfN//617+iXziuyEcffdTn3+UX17u0tNTMmjWr15js7GwTHx9vJkyYYP70pz85Pm+MMfxuAAAAANe+Yb/HFwAAAIgGgi8AAACsQPAFAACAFQi+AAAAsALBFwAAAFYg+AIAAMAKBF8AAABYgeALAAAAKxB8AQAAYAWCLwAAAKxA8AUAAIAVCL4AAACwwv8B3R6bf/95kVAAAAAASUVORK5CYII=\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "89X2Zzwvb4RW",
        "outputId": "e6fbe35d-d99f-48d2-fdef-c03648aac197"
      },
      "outputs": [
        {
          "data": {
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAAdoAAAFBCAYAAADQRW4vAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAGzxJREFUeJzt3X9sVXWe//HX21K/5Ou4KBIJ3BbiQEvLAoUN5ceE+C06\nw6/J4EZNppKMgbBTf1XXv1ZN3FDiZhxMvsm4dtap0dTohmKyGut3hxY3lRuHXTrFiDALdEB2htLL\nDDvAggzJKLTv7x+tnba09NLezz33lOcjuUlP74fTV47HvvI559Nzzd0FAADCuCnqAAAAjGcULQAA\nAVG0AAAERNECABAQRQsAQEAULQAAAY1YtGb2hpmdNrOD1xjzj2Z2zMw+M7OFmY0IAEB8pTOjrZe0\nerg3zWytpFnuXiTpEUk/y1A2AABib8Sidfc9kv7nGkPuk/RW79hfSppkZlMzEw8AgHjLxD3ahKST\n/bZTvd8DAOCGx2IoAAACmpCBfaQkFfbbLuj93lXMjAcrAwBiyd1tNP8u3Rmt9b6G8oGkhyXJzJZJ\nOu/up4fbkbvzCvDasmVL5BnG44vjynGN24tjG+Y1FiPOaM1su6QKSXeYWYekLZJu7ulMf83dd5rZ\nOjP7XNIlSZvGlAgAgHFkxKJ19w1pjKnOTBwAAMYXFkONExUVFVFHGJc4rmFwXMPh2OYeG+u15+v6\nYWaezZ8HAEAmmJk88GIoAAAwChQtAAABUbQAAARE0QIAEBBFCwBAQBQtAAABUbQAAARE0QIAEBBF\nCwBAQBQtAAABUbQAAARE0QIAEBBFCwBAQBQtAAABUbQAAARE0QIAEBBFCwBAQBQtAAABUbQR2rx5\ns6ZOnaoFCxYMO+app55SUVGRFi5cqM8++yyL6QAAmUDRRmjTpk3atWvXsO83NTXp+PHjOnbsmOrq\n6vToo49mMR0AIBMo2gitWLFCt99++7DvNzY26uGHH5YkLV26VBcuXNDp06ezFQ8AkAEUbQ5LpVIq\nLCzs204kEkqlUhEmAgBcL4oWAICAJkQdAMNLJBI6efJk33ZnZ6cSicSQY80sW7GAjHD3qCMAWcGM\nNmLuPuwvnPXr1+utt96SJLW2tuq2227T1KlTR9xXlK8tW7ZEniHXsuRKjlzKAtxImNFGaMOGDUom\nkzp79qxmzJihrVu36quvvpKZqaqqSuvWrdPOnTs1e/Zs3XLLLaqvr486MgDgOlG0Edq+ffuIY2pr\na7OQBAAQCpeOkVEVFRVRR+iTK1lyJYeUW1mAG4Vl836JmTn3Z8IwM+59ITY4XxE3vefsqFadMqMF\nACAgihYAgIAoWgAAAqJoAQAIiKIFACAgihYAgIAoWgAAAqJoAQAIiKIFACAgihYAgIAoWgAAAqJo\nAQAIiKKNUHNzs0pKSlRcXKxt27Zd9f4XX3yh9evXa+HChZo/f77efPPN7IcEAIwJn94Tke7ubhUX\nF6ulpUXTp09XeXm5duzYoZKSkr4xL774or744gu9+OKLOnPmjObMmaPTp09rwoSrP0aYT0NBnHC+\nIm749J4YamtrU1FRkWbOnKn8/HxVVlaqsbFxwBgz08WLFyVJFy9e1B133DFkyQIAchdFG5FUKqXC\nwsK+7YKCAqVSqQFjqqurdfjwYU2fPl1lZWV6+eWXsx0TADBGFG0O27VrlxYtWqRTp05p//79euKJ\nJ/THP/4x6lgAgOvAdciIJBIJdXR09G13dnYqkUgMGFNfX6/nnntOkjRr1izdddddam9v1+LFi4fc\nZ01NTd/XFRUVqqioyHhuYDSSyaSSyWTUMYBIpLUYyszWSPqJembAb7j7tkHv/4Wkf5Y0Q1KepP/r\n7m8OsR8WQ/Xq6urSnDlz1NLSomnTpmnJkiVqaGhQaWlp35gnnnhCd955p7Zs2aLTp09r8eLFOnDg\ngCZPnnzV/lhcgjjhfEXcjGUx1IgzWjO7SVKtpHslnZK0z8wa3b2937AnJB1y9/VmNkXSr83sn939\nymhC3Qjy8vJUW1urVatWqbu7W5s3b1Zpaanq6upkZqqqqtLzzz+vjRs3asGCBZKkl156aciSBQDk\nrhFntGa2TNIWd1/bu/2sJO8/q+39XoG7V5vZXZJ2uXvxEPtiRhsIMwTECecr4ib0n/ckJJ3st93Z\n+73+aiXNNbNTkg5I+tvRhAEAYLzJ1GKo1ZL2u/s9ZjZL0r+Z2QJ3v2qJLAt2AAC5LpML+NK9dFzj\n7mt6t4e6dPyvkl5093/v3W6R9Iy7fzJoX1w6DoRLcYgTzlfETehLx/skzTazmWZ2s6RKSR8MGnNC\n0rd7w0yVVCzpv0YTCACA8WTES8fu3mVm1ZI+1J//vOeImT3S87a/JukfJL1pZgd7/9nfufu5YKkB\nAIgJPlRgnOBSHOKE8xVxw4cKAACQoyhaAAAComgBAAiIogUAICCKFgCAgChaAAAComgBAAiIogUA\nICCKNkLNzc0qKSlRcXGxtm3bNuSYZDKpRYsWad68eVq5cmWWEwIAxoonQ0Wku7tbxcXFamlp0fTp\n01VeXq4dO3aopKSkb8yFCxf0rW99Sx9++KESiYTOnDmjKVOmDLk/nrSDOOF8RdzwZKgYamtrU1FR\nkWbOnKn8/HxVVlaqsbFxwJjt27frgQceUCLR8/G/w5UsACB3UbQRSaVSKiws7NsuKChQKpUaMObo\n0aM6d+6cVq5cqfLycr399tvZjgkAGKNMffA7Arhy5Yo+/fRTffTRR7p06ZKWL1+u5cuXa/bs2VFH\nAwCkiaKNSCKRUEdHR992Z2dn3yXirxUUFGjKlCmaOHGiJk6cqLvvvlsHDhwYtmhramr6vq6oqFBF\nRUWI6MB1SyaTSiaTUccAIsFiqIh0dXVpzpw5amlp0bRp07RkyRI1NDSotLS0b0x7e7uefPJJNTc3\n68svv9TSpUv1zjvvaO7cuVftj8UliBPOV8TNWBZDMaONSF5enmpra7Vq1Sp1d3dr8+bNKi0tVV1d\nncxMVVVVKikp0erVq7VgwQLl5eWpqqpqyJIFAOQuZrTjBDMExAnnK+KGP+8BACBHUbQAAARE0QIA\nEBBFCwBAQBQtAAABUbQAAARE0QIAEBBFCwBAQBQtAAABUbQAAARE0QIAEBBFCwBAQBQtAAABUbQA\nAARE0UaoublZJSUlKi4u1rZt24Ydt2/fPuXn5+u9997LYjoAQCZQtBHp7u5WdXW1du3apUOHDqmh\noUHt7e1Djnv22We1evXqCFICAMaKoo1IW1ubioqKNHPmTOXn56uyslKNjY1XjXvllVf04IMP6s47\n74wgJQBgrCjaiKRSKRUWFvZtFxQUKJVKDRhz6tQpvf/++3rsscfk7tmOCADIAIo2hz399NMD7t1S\ntgAQPxOiDnCjSiQS6ujo6Nvu7OxUIpEYMOaTTz5RZWWl3F1nzpxRU1OT8vPztX79+iH3WVNT0/d1\nRUWFKioqQkQHrlsymVQymYw6BhAJy+YsycycWVmPrq4uzZkzRy0tLZo2bZqWLFmihoYGlZaWDjl+\n06ZN+t73vqf7779/yPfNjBkvYoPzFXHTe87aaP4tM9qI5OXlqba2VqtWrVJ3d7c2b96s0tJS1dXV\nycxUVVU1YLzZqP77AgAixox2nGCGgDjhfEXcjGVGy2IoAAAComgBAAiIogUAICCKFgCAgChaAAAC\nomgBAAiIogUAICCKFgCAgNIqWjNbY2btZnbUzJ4ZZkyFme03s/80s92ZjQkAQDyN+GQoM7tJ0lFJ\n90o6JWmfpEp3b+83ZpKk/5C0yt1TZjbF3c8MsS+eDBUIT9pBnHC+Im5CPxlqiaRj7n7C3S9L2iHp\nvkFjNkh6191TkjRUyQIAcCNKp2gTkk722+7s/V5/xZImm9luM9tnZj/IVEAAAOIsU5/eM0HSX0m6\nR9Itkvaa2V53/zxD+wcAIJbSKdqUpBn9tgt6v9dfp6Qz7v4nSX8ys48llUm6qmj5cHIAQK5LJpNK\nJpMZ2Vc6i6HyJP1aPYuhfiepTdJD7n6k35gSSa9IWiPpf0n6paTvu/vhQftiMVQ/zc3Nevrpp/s+\nj/aZZwYu6N6+fbu2bdsmSbr11lv16quvav78+UPui8UliBPOV8RN0A9+d/cuM6uW9KF67um+4e5H\nzOyRnrf9NXdvN7Ndkg5K6pL02uCSxUDd3d2qrq5WS0uLpk+frvLyct13330qKSnpG/PNb35TH3/8\nsSZNmqTm5mb98Ic/VGtra4SpAQDXiw9+j0hra6u2bt2qpqYmSdKPf/xjmdlVs9qvnT9/XvPnz9fJ\nkyeHfJ8ZAuKE8xVxwwe/x1AqlVJhYWHfdkFBgVKpwbe+/+z111/X2rVrsxENAJBBmVp1jIB2796t\n+vp67dmzJ+ooAIDrRNFGJJFIqKOjo2+7s7NTicTgP0+WDh48qKqqKjU3N+v222+/5j5Z0Y1clckV\nnEDccI82Il1dXZozZ45aWlo0bdo0LVmyRA0NDSotLe0b09HRoXvvvVdvv/22li1bds39cc8LccL5\nirgJuuoYYeTl5am2tlarVq3q+/Oe0tJS1dXVycxUVVWlF154QefOndPjjz8ud1d+fr7a2tqijg4A\nuA7MaMcJZgiIE85XxA2rjgEAyFEULQAAAVG0AAAERNECABAQRQsAQEAULQAAAVG0AAAERNECABAQ\nRQsAQEAULQAAAVG0AAAERNECABAQRQsAQEAULQAAAVG0EWpublZJSYmKi4u1bdu2Icc89dRTKioq\n0sKFC/XZZ59lOSEAYKwo2oh0d3erurpau3bt0qFDh9TQ0KD29vYBY5qamnT8+HEdO3ZMdXV1evTR\nRyNKm75kMhl1hD65kiVXcki5lQW4UVC0EWlra1NRUZFmzpyp/Px8VVZWqrGxccCYxsZGPfzww5Kk\npUuX6sKFCzp9+nQUcdOWS7/IcyVLruSQcisLcKOgaCOSSqVUWFjYt11QUKBUKnXNMYlE4qoxAIDc\nRtECABDQhKgD3KgSiYQ6Ojr6tjs7O5VIJK4ac/LkyWuO6c/MMh90FLZu3Rp1hD65kiVXcki5lQW4\nEVC0ESkvL9fnn3+uEydOaNq0adqxY4caGhoGjFm/fr1++tOf6vvf/75aW1t12223aerUqUPuz92z\nERsAcJ0o2ojk5eWptrZWq1atUnd3tzZv3qzS0lLV1dXJzFRVVaV169Zp586dmj17tm655RbV19dH\nHRsAcJ0smzMhM3NmXgCAuDEzufuo7s+xGCpGcukBFyNl2b59u8rKylRWVqYVK1boV7/6VSQ5vrZv\n3z7l5+frvffeC5Ij3SzJZFKLFi3SvHnztHLlykhyfPHFF1q/fr0WLlyo+fPn68033wySQ5I2b96s\nqVOnasGCBcOO4aEsGPfcPWuvnh+H0ejq6vJZs2b5b3/7W//qq6+8rKzMjxw5MmDMzp07fd26de7u\n3tra6kuXLo0sy969e/38+fPu7t7U1BQkSzo5vh53zz33+He/+11/9913M54j3Sznz5/3uXPnemdn\np7u7/+EPf4gkx49+9CN/9tln+zJMnjzZL1++nPEs7u6/+MUvfP/+/T5//vwh38/WOQuMVW9/jar7\nmNHGRC494CKdLMuWLdOkSZP6vg7x97/p5JCkV155RQ8++KDuvPPOjGe4nizbt2/XAw880LdyfMqU\nKZHkMDNdvHhRknTx4kXdcccdmjAhzHKNFStW6Pbbbx/2/Tg+lAW4XhRtTOTSAy7SydLf66+/rrVr\n10aS49SpU3r//ff12GOPBV2ZnU6Wo0eP6ty5c1q5cqXKy8v19ttvR5Kjurpahw8f1vTp01VWVqaX\nX3454znSxUNZcCNg1TGC2r17t+rr67Vnz55Ifv7TTz894D5lyLIdyZUrV/Tpp5/qo48+0qVLl7R8\n+XItX75cs2fPzmqOXbt2adGiRfroo490/Phxfec739HBgwf1jW98I6s5gBsFRRsTIR5wETKLJB08\neFBVVVVqbm6+5uXDkDk++eQTVVZWyt115swZNTU1KT8/X+vXr896loKCAk2ZMkUTJ07UxIkTdffd\nd+vAgQMZLdp0ctTX1+u5556TJM2aNUt33XWX2tvbtXjx4ozlSFe2zlkgUqO9uTual1gMNWpXrlzp\nW+Ty5ZdfellZmR8+fHjAmJ///Od9C0v27t0bbGFJOllOnDjhs2fP9r179wbJkG6O/jZu3BhsMVQ6\nWY4cOeLf/va3/cqVK37p0iWfN2+eHzp0KOs5Hn/8ca+pqXF399///vdeUFDgZ8+ezWiO/n7zm9/4\nvHnzhnwvW+csMFYaw2IoZrQxkUsPuEgnywsvvKBz587p8ccfl7srPz9fbW1tWc/RX8hHVKaTpaSk\nRKtXr9aCBQuUl5enqqoqzZ07N+s5nn/+eW3cuLHvT25eeuklTZ48OaM5vrZhwwYlk0mdPXtWM2bM\n0NatW/XVV1/xUBbcUHhgBQAAI+CBFQAA5CiKFgCAgChaAAAComgBAAiIogUAICCKFgCAgChaAAAC\nomgBAAiIogUAICCKFgCAgChaAAACSqtozWyNmbWb2VEze+Ya48rN7LKZ3Z+5iAAAxNeIRWtmN0mq\nlbRa0l9KesjMSoYZ92NJuzIdEgCAuEpnRrtE0jF3P+HulyXtkHTfEOOelPQvkv47g/kAAIi1dIo2\nIelkv+3O3u/1MbPpkv7a3V+VFO5DPwEAiJlMLYb6iaT+924pWwAAJE1IY0xK0ox+2wW93+tvsaQd\nZmaSpkhaa2aX3f2DwTurqanp+7qiokIVFRXXGRkAgLCSyaSSyWRG9mXufu0BZnmSfi3pXkm/k9Qm\n6SF3PzLM+HpJ/8/d3xviPR/p5wEAkGvMTO4+qqu1I85o3b3LzKolfaieS81vuPsRM3uk521/bfA/\nGU0QAADGoxFntBn9YcxoAQAxNJYZLU+GAgAgIIoWAICAKFoAAAKiaAEACIiiBQAgIIoWAICAKFoA\nAAKiaAEACIiiBQAgIIoWAICAKFoAAAKiaAEACIiiBQAgIIoWAICAKFoAAAKiaAEACIiiBQAgIIoW\nAICAKFoAAAKiaAEACIiiBQAgIIoWAICAKFoAAAKiaAEACIiiBQAgIIoWAICAKFoAAAKiaAEACIii\nBQAgIIoWAICAKFoAAAKiaAEACIiiBQAgIIoWAICAKFoAAAKiaAEACIiiBQAgIIoWAICAKFoAAAKi\naAEACIiiBQAgIIoWAICAKFoAAAKiaAEACIiiBQAgIIoWAICAKFoAAAKiaAEACIiiBQAgoLSK1szW\nmFm7mR01s2eGeH+DmR3ofe0xs/mZjwoAQPyYu197gNlNko5KulfSKUn7JFW6e3u/McskHXH3C2a2\nRlKNuy8bYl8+0s8DACDXmJnc3Ubzb9OZ0S6RdMzdT7j7ZUk7JN3Xf4C7t7r7hd7NVkmJ0YQBAGC8\nSadoE5JO9tvu1LWL9G8kNY0lFAAA48WETO7MzFZK2iRpxXBjampq+r6uqKhQRUVFJiMAADBmyWRS\nyWQyI/tK5x7tMvXcc13Tu/2sJHf3bYPGLZD0rqQ17n58mH1xjxYAEDuh79HukzTbzGaa2c2SKiV9\nMCjADPWU7A+GK1kAAG5EI146dvcuM6uW9KF6ivkNdz9iZo/0vO2vSfp7SZMl/ZOZmaTL7r4kZHAA\nAOJgxEvHGf1hXDoGAMRQ6EvHAABglChaAAAComgBAAiIogUAICCKFgCAgChaAAAComgBAAiIogUA\nICCKFgCAgChaAAAComgBAAiIogUAICCKFgCAgChaAAAComgBAAiIogUAICCKFgCAgChaAAAComgB\nAAiIogUAICCKFgCAgChaAAAComgBAAiIogUAICCKFgCAgChaAAAComgBAAiIogUAICCKFgCAgCha\nAAAComgBAAiIogUAICCKFgCAgChaAAAComgBAAiIogUAICCKFgCAgChaAAAComgBAAiIogUAICCK\nFgCAgChaAAAComgBAAiIogUAICCKFgCAgChaAAAComgBAAiIogUAIKC0itbM1phZu5kdNbNnhhnz\nj2Z2zMw+M7OFmY0JAEA8jVi0ZnaTpFpJqyX9paSHzKxk0Ji1kma5e5GkRyT9LEBWXEMymYw6wrjE\ncQ2D4xoOxzb3pDOjXSLpmLufcPfLknZIum/QmPskvSVJ7v5LSZPMbGpGk+Ka+J8rDI5rGBzXcDi2\nuSedok1IOtlvu7P3e9cakxpiDAAANxwWQwEAEJC5+7UHmC2TVOPua3q3n5Xk7r6t35ifSdrt7u/0\nbrdL+j/ufnrQvq79wwAAyFHubqP5dxPSGLNP0mwzmynpd5IqJT00aMwHkp6Q9E5vMZ8fXLJjCQkA\nQFyNWLTu3mVm1ZI+VM+l5jfc/YiZPdLztr/m7jvNbJ2ZfS7pkqRNYWMDABAPI146BgAAoxdkMRQP\nuAhjpONqZhvM7EDva4+ZzY8iZxylc872jis3s8tmdn8288VVmr8LKsxsv5n9p5ntznbGOErjd8Ff\nmNkHvb9ff2VmGyOIGTtm9oaZnTazg9cYc/3d5e4ZfamnvD+XNFNSvqTPJJUMGrNW0s97v14qqTXT\nOcbbK83jukzSpN6v13BcM3ds+41rkfSvku6POneuv9I8ZydJOiQp0bs9Jercuf5K87g+J+nFr4+p\npLOSJkSdPddfklZIWijp4DDvj6q7QsxoecBFGCMeV3dvdfcLvZut4m+Z05XOOStJT0r6F0n/nc1w\nMZbOcd0g6V13T0mSu5/JcsY4Sue4uqRbe7++VdJZd7+SxYyx5O57JP3PNYaMqrtCFC0PuAgjnePa\n399IagqaaPwY8dia2XRJf+3ur0pi9Xx60jlniyVNNrPdZrbPzH6QtXTxlc5xrZU018xOSTog6W+z\nlG28G1V3pfPnPYgZM1upnpXfK6LOMo78RFL/e2GUbWZMkPRXku6RdIukvWa2190/jzZW7K2WtN/d\n7zGzWZL+zcwWuPsfow52IwpRtClJM/ptF/R+b/CYwhHGYKB0jqvMbIGk1yStcfdrXQLBn6VzbBdL\n2mFmpp57XmvN7LK7f5CljHGUznHtlHTG3f8k6U9m9rGkMvXcg8TQ0jmumyS9KEnuftzMfiOpRNIn\nWUk4fo2qu0JcOu57wIWZ3ayeB1wM/mX0gaSHpb4nTw35gAsMMOJxNbMZkt6V9AN3Px5Bxrga8di6\n+zd7X3ep5z7t45TsiNL5XdAoaYWZ5ZnZ/1bPApMjWc4ZN+kc1xOSvi1JvfcQiyX9V1ZTxpdp+CtW\no+qujM9onQdcBJHOcZX095ImS/qn3pnXZXdfEl3qeEjz2A74J1kPGUNp/i5oN7Ndkg5K6pL0mrsf\njjB2zkvzfP0HSW/2+zOVv3P3cxFFjg0z2y6pQtIdZtYhaYukmzXG7uKBFQAABMSn9wAAEBBFCwBA\nQBQtAAABUbQAAARE0QIAEBBFCwBAQBQtAAABUbQAAAT0/wHVzOOLYs8BFwAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<matplotlib.figure.Figure at 0x10f0b15c0>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "k2tAjEr-b4RW"
      },
      "source": [
        "** Now use x,y, and z arrays to recreate the plot below. Notice the xlimits and y limits on the inserted plot:**"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "ax1.plot(x,z,'b')\n",
        "ax1.set_xlabel('X')\n",
        "ax1.set_ylabel('Z')\n",
        "ax2.plot(x,y,'b')\n",
        "ax2.set_title('zoom')\n",
        "ax2.set_xlabel('x')\n",
        "ax2.set_ylabel('y')\n",
        "ax2.set_xlim(20.0,22.0)\n",
        "ax2.set_ylim(30,50)\n",
        "fig"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 560
        },
        "id": "Dsg3842xk4Wo",
        "outputId": "a9c1a5f7-4b13-44af-c3a3-a809d7846cd3"
      },
      "execution_count": 73,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 2 Axes>"
            ],
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAAt0AAAIfCAYAAACsF2BNAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAABmVElEQVR4nO3de3yP9f/H8edmB8dtjpvFWCXnQ1FapGJZUl+iQlOS6pemHDpIhXRy6EiFpFAR6UuFUiLz7dswQ4hGUhTbhG1OO9jevz+u7z6M0cY+uz6Hx/12u267Ptf1/lyf1+XqM09X7+v99jHGGAEAAABwGl+7CwAAAAA8HaEbAAAAcDJCNwAAAOBkhG4AAADAyQjdAAAAgJMRugEAAAAnI3QDAAAATkboBgAAAJzMz+4CPEV+fr727t2rKlWqyMfHx+5yAAAA4GTGGB0+fFjh4eHy9T33vWxCdynZu3ev6tata3cZAAAAKGN79uxRnTp1ztmG0F1KqlSpIsn6Qw8KCrK5GgAAADhbZmam6tat68iB50LoLiUFXUqCgoII3QAAAF6kOF2LeZASAAAAcDJCNwAAAOBkhG4AAADAyQjdAAAAgJMRugEAAAAnszV0r1q1SrfeeqvCw8Pl4+Ojzz//vNB+Y4xGjRql2rVrq0KFCoqOjtaOHTsKtTl48KBiY2MVFBSkkJAQDRgwQEeOHCnUZtOmTbr22mtVvnx51a1bVxMmTDijlvnz56tRo0YqX768mjdvrq+++qrUzxcAAADeydbQffToUbVs2VLvvPNOkfsnTJigSZMmaerUqVqzZo0qVaqkmJgYZWVlOdrExsbq559/1rJly7R48WKtWrVKDz74oGN/ZmamOnfurHr16ikpKUmvvPKKnnvuOU2bNs3R5scff1SfPn00YMAAbdiwQd27d1f37t21ZcsW5508AAAAvIaPMcbYXYRkjW+4cOFCde/eXZJ1lzs8PFyPPfaYHn/8cUlSRkaGQkNDNXPmTPXu3Vvbtm1TkyZNlJiYqDZt2kiSli5dqptvvll//vmnwsPDNWXKFD3zzDNKSUlRQECAJOmpp57S559/rl9++UWS1KtXLx09elSLFy921HP11VerVatWmjp1arHqz8zMVHBwsDIyMhinGwAAwAuUJP+5bJ/uXbt2KSUlRdHR0Y5twcHBatu2rRISEiRJCQkJCgkJcQRuSYqOjpavr6/WrFnjaNOhQwdH4JakmJgYJScn69ChQ442p35OQZuCzwEAAAAuhMvOSJmSkiJJCg0NLbQ9NDTUsS8lJUW1atUqtN/Pz0/VqlUr1CYyMvKMYxTsq1q1qlJSUs75OUXJzs5Wdna243VmZmZJTg8AAABexGXvdLu6sWPHKjg42LHUrVvX7pIAAADgolw2dIeFhUmSUlNTC21PTU117AsLC1NaWlqh/SdOnNDBgwcLtSnqGKd+xtnaFOwvyogRI5SRkeFY9uzZU9JTBAAAgJdw2dAdGRmpsLAwLV++3LEtMzNTa9asUVRUlCQpKipK6enpSkpKcrRZsWKF8vPz1bZtW0ebVatWKTc319Fm2bJlatiwoapWrepoc+rnFLQp+JyiBAYGKigoqNACAAAAFMXW0H3kyBFt3LhRGzdulGQ9PLlx40bt3r1bPj4+GjJkiF588UV9+eWX2rx5s+655x6Fh4c7Rjhp3LixbrrpJj3wwANau3at/vvf/2rQoEHq3bu3wsPDJUl33XWXAgICNGDAAP3888+aN2+eJk6cqGHDhjnqGDx4sJYuXarXXntNv/zyi5577jmtW7dOgwYNKus/EgAAAHgiY6Pvv//eSDpj6devnzHGmPz8fDNy5EgTGhpqAgMDTadOnUxycnKhYxw4cMD06dPHVK5c2QQFBZn+/fubw4cPF2rz008/mfbt25vAwEBz0UUXmXHjxp1Ry6effmouu+wyExAQYJo2bWqWLFlSonPJyMgwkkxGRkbJ/hAAAADglkqS/1xmnG53xzjdAAAA3sUjxukGAAAAPAWhGwAAAG5v/Hjprbek/Hy7Kymay06OAwAAABTHxo3Ss89KJ05IDRtKnTvbXdGZuNMNAAAAt5WTI/XrZwXunj2lG2+0u6KiEboBAADgtl58Udq0SapRQ5o8WfLxsbuiohG6AQAA4JaSkqSXX7bWJ0+WatWyt55zIXQDAADA7WRnS/feK+XlSXfcYS2ujNANAAAAt/P889KWLVLNmtI779hdzT8jdAMAAMCtJCZaQwRK0pQpVvB2dYRuAAAAuI2srJPdSnr3tkYscQeEbgAAALiNMWOkrVuthybfesvuaoqP0A3Aq/z+++/y8fE561Jg/vz5at26tSpUqKAaNWqob9+++uuvv8443ooVK3TttdeqUqVKCgkJUbdu3bRt27ZCbZ577jn5+Pho+/bt6tu3r4KDg1WzZk2NHDlSxhjt2bNH3bp1U1BQkMLCwvTaa685/c8BANzR6tXShAnW+tSp1jCB7oIZKQF4lZo1a+qjjz4qtC03N1dDhw5VQECAJGnmzJnq37+/rrzySo0dO1apqamaOHGi/vvf/2rDhg0KCQmRJH333Xfq0qWLLr74Yj333HM6fvy43nrrLbVr107r169X/fr1C31Or1691LhxY40bN05LlizRiy++qGrVqundd99Vx44dNX78eM2ePVuPP/64rrzySnXo0KEs/kgAwC0cO2ZNgpOfL8XGSrfdZndFJWRQKjIyMowkk5GRYXcpAEro4YcfNuXKlTMrVqwwOTk5platWqZZs2bm+PHjjjaLFy82ksyoUaMc21q1amVq1aplDhw44Nj2008/GV9fX3PPPfc4to0ePdpIMg8++KBj24kTJ0ydOnWMj4+PGTdunGP7oUOHTIUKFUy/fv2cdLYA4J6GDDFGMiY83JiDB+2uxlKS/Ef3EgBe7cMPP9TkyZM1YcIE3XDDDVq3bp3S0tL08MMPq3z58o52Xbt2VaNGjbRkyRJJ0r59+7Rx40bde++9qlatmqNdixYtdOONN+qrr74647Puv/9+x3q5cuXUpk0bGWM0YMAAx/aQkBA1bNhQv/32mzNOFwDcUny8NHGitT59ulS1qr31nA9CNwCvtXHjRj300EPq06ePhg0bJkn6448/JEkNGzY8o32jRo0c+8/VrnHjxvr777919OjRQtsjIiIKvQ4ODlb58uVV47ROicHBwTp06NB5nhUAeJYjR6T+/SVjpPvvl7p0sbui80PoBuCVDh06pJ49e+qyyy7T9OnTy+Qzy5UrV6xtkmSMcXY5AOAWnnhC2rVLioiQ3Pk5c0I3AK+Tn5+v2NhYpaena+HChapYsaJjX7169SRJycnJZ7wvOTnZsf9c7X755RfVqFFDlSpVckb5AOA1vv3WGqVEkmbMkIKC7K3nQhC6AXidMWPG6JtvvtEnn3yiyMjIQvvatGmjWrVqaerUqcrOznZs//rrr7Vt2zZ17dpVklS7dm21atVKs2bNUnp6uqPdli1b9O233+rmm28uk3MBAE+Vni4VPPIyaJDUsaOt5VwwhgwE4FU2b96sF154QR06dFBaWpo+/vjjQvv79u2r8ePHq3///rruuuvUp08fx5CB9evX19ChQx1tX3nlFXXp0kVRUVEaMGCAY8jA4OBgPffcc2V8ZgDgWYYOlf78U7r0UmncOLuruXCEbgBe5cCBAzLGKD4+XvHx8Wfs79u3r+69915VrFhR48aN0/Dhw1WpUiXddtttGj9+vGOMbkmKjo7W0qVLNXr0aI0aNUr+/v667rrrNH78+DPuoAMAiu/LL6WZMyUfH+unJ/TW8zE8rVMqMjMzFRwcrIyMDAW5c4cjAAAAG+3fLzVrJqWlWQ9RFsxA6YpKkv/o0w0AAACXYIw0cKAVuJs2lZ5/3u6KSg+hGwAAAC5hzhzp3/+W/Pykjz6STpmjzO0RuuHxnnvuOfn4+BRaGjVq5NiflZWluLg4Va9eXZUrV1bPnj2VmppqY8UAAHifv/6yRimRpNGjpcsvt7ee0kbohldo2rSp9u3b51h++OEHx76hQ4dq0aJFmj9/vuLj47V371716NHDxmoBAPAuxljDA6anS1ddJT31lN0VlT5GL4FX8PPzU1hY2BnbMzIy9P7772vOnDnq+L8BQGfMmKHGjRtr9erVuvrqq8u6VAAAvM6770rffGN1J5k1y+pe4mm40w2vsGPHDoWHh+viiy9WbGysdu/eLUlKSkpSbm6uoqOjHW0bNWqkiIgIJSQk2FUuAABeY+dO6fHHrfVx46RTeoB6FA/8dwRQWNu2bTVz5kw1bNhQ+/bt05gxY3Tttddqy5YtSklJUUBAQKGxlyUpNDRUKSkpZz1mdnZ2odkK8/PzdfDgQVWvXl0+Pj7OOhUALsgYo8OHDys8PFy+vtzLAkoiL0/q1086elS64QbpkUfsrsh5CN3weF26dHGst2jRQm3btlW9evX06aefqkKFCud1zLFjx2rMmDGlVSIAD7Bnzx7VqVPH7jIAt/LKK9J//ytVqSLNmCF58r9bCd3wOiEhIbrsssv066+/6sYbb1ROTo7S09ML3e1OTU0tsg94gREjRmjYsGGO1xkZGYqIiNCePXuYHAnwMpmZmapbt66qVKlidymAW9m4URo1ylqfNEmqV8/WcpyO0A2vc+TIEe3cuVN33323WrduLX9/fy1fvlw9e/aUJCUnJ2v37t2Kioo66zECAwMVGBh4xvagoCBCN+Cl6FoGFF9WlnT33VJurtS9u9XFxNMRuuHxHn/8cd16662qV6+e9u7dq9GjR6tcuXLq06ePgoODNWDAAA0bNkzVqlVTUFCQHnnkEUVFRTFyCQAATjJypLRli1SrljRtmuQN/2YldMPj/fnnn+rTp48OHDigmjVrqn379lq9erVq1qwpSXrjjTfk6+urnj17Kjs7WzExMZo8ebLNVQMA4Jni46XXXrPWp0+X/vfXscfzMcYYu4vwBJmZmQoODlZGRgbdC7wQ1x/wXnz/geLLzJRatJD++MOaDGf6dLsrujAl+f578DOiAAAAcCVDhliBOzJSeuMNu6spW4RuAAAAON0XX1jDAvr4WLNOetuAP4RuAAAAOFVqqnT//db6E09I115rbz12IHQDAADAaYyx+m///bfUsqX0/PN2V2QPQjcAAACcZto0ackSKTBQ+vhj66c3InQDAADAKbZvlwomcB47VmrWzN567EToBgAAQKnLzbVmnTx2TOrYURo82O6K7EXoBgAAQKl76SVp7VopJESaOVPy9fLU6eWnDwAAgNK2Zo304ovW+uTJUt269tbjCgjdAAAAKDVHj1rdSvLypD59rAWEbgAAAJSiYcOkHTukOnWkd96xuxrXQegGAABAqfjiC2uIwIJZJ6tWtbsi10HoBgAAwAVLSTk56+Rjj1kjluAkQjcAAAAuiDFS//4nZ50seIgSJxG6AQAAcEHeeUdaulQqX16aPdt7Z508F0I3AAAAztvWrdITT1jrEyZITZvaW4+rInQDAADgvGRnS3fdJWVlSTfdJA0aZHdFrovQDQAAgPPy7LPSTz9JNWpIM2ZYo5agaIRuAAAAlNiKFdJrr1nr06dLYWH21uPqCN0AAAAokQMHpHvusUYteeABqVs3uytyfYRuAAAAFJsx0oMPSn/9JTVsKL3xht0VuQdCNwAAAIrtgw+kBQskf39pzhypUiW7K3IPhG4AAAAUy/bt0qOPWusvvihdcYW99bgTQjcAAAD+UU6ONTzgsWPWFO+PP253Re6F0A0AAIB/NHq0lJQkVa0qzZol+ZIiS4Q/LgAAAJzTypXS+PHW+vTpUp06tpbjlgjdAAAAOKuDB6W777ZGLbn/fqlHD7srck+EbgAAABSpYBzuP/+UGjRgeMALQegGAABAkd577+TwgJ98IlWubHdF7ovQDQAAgDNs2yYNGWKtv/yy1Lq1reW4PUI3AAAACsnKkvr0kY4fl268URo2zO6K3B+hGwAAAIU89ZT0009SjRoMD1ha+CMEAACAw1dfSRMnWuszZ0q1a9tajscgdAMAAECSlJIi3Xuvtf7oo1LXrraW41EI3QAAAFB+vtSvn7R/v9SixcnJcFA6CN0AAADQa69J334rlS9vDQ9YvrzdFXkWQjcAAICXS0yUnn7aWp84UWrSxN56PBGhG15n3Lhx8vHx0ZCCwUclXX/99fLx8Sm0PPTQQ/YVCQBAGcnMlHr3lk6ckO64w5qBEqXPz+4CgLKUmJiod999Vy1atDhj3wMPPKDnn3/e8bpixYplWRoAAGXOGGngQOm336R69aRp0yQfH7ur8kzc6YbXOHLkiGJjY/Xee++patWqZ+yvWLGiwsLCHEtQUJANVQIAUHZmzZLmzJHKlbN+hoTYXZHnInTDa8TFxalr166Kjo4ucv/s2bNVo0YNNWvWTCNGjNCxY8fKuEIAAMpOcrI0aJC1PmaMdM019tbj6eheAq8wd+5crV+/XomJiUXuv+uuu1SvXj2Fh4dr06ZNGj58uJKTk7VgwYIi22dnZys7O9vxOjMz0yl1AwDgDNnZ1jTvR49KN9xgzUAJ5yJ0w+Pt2bNHgwcP1rJly1T+LOMfPfjgg4715s2bq3bt2urUqZN27typSy655Iz2Y8eO1ZgxY5xWMwAAzjR8uLRhg1S9uvTxx1b3EjgX3Uvg8ZKSkpSWlqYrrrhCfn5+8vPzU3x8vCZNmiQ/Pz/l5eWd8Z62bdtKkn799dcijzlixAhlZGQ4lj179jj1HAAAKC2LFhWe5j083NZyvIZLh+68vDyNHDlSkZGRqlChgi655BK98MILMsY42hhjNGrUKNWuXVsVKlRQdHS0duzYUeg4Bw8eVGxsrIKCghQSEqIBAwboyJEjhdps2rRJ1157rcqXL6+6detqwoQJZXKOcL5OnTpp8+bN2rhxo2Np06aNYmNjtXHjRpUr4p/3GzdulCTVrl27yGMGBgYqKCio0AIAgKvbs+fkNO9Dhki33GJnNd7FpbuXjB8/XlOmTNGsWbPUtGlTrVu3Tv3791dwcLAeffRRSdKECRM0adIkzZo1S5GRkRo5cqRiYmK0detWR1eC2NhY7du3T8uWLVNubq769++vBx98UHPmzJFk9cft3LmzoqOjNXXqVG3evFn33XefQkJCCnU7gHuqUqWKmjVrVmhbpUqVVL16dTVr1kw7d+7UnDlzdPPNN6t69eratGmThg4dqg4dOhQ5tCAAAO7oxAkpNlY6eFBq3VoaN87uiryLS4fuH3/8Ud26dVPXrl0lSfXr19cnn3yitWvXSrLucr/55pt69tln1a1bN0nShx9+qNDQUH3++efq3bu3tm3bpqVLlyoxMVFt2rSRJL311lu6+eab9eqrryo8PFyzZ89WTk6OPvjgAwUEBKhp06bauHGjXn/9dUK3FwgICNB3332nN998U0ePHlXdunXVs2dPPfvss3aXBgBAqXn+eek//5GqVJHmzpUCA+2uyLu4dPeSa665RsuXL9f27dslST/99JN++OEHdenSRZK0a9cupaSkFBoCLjg4WG3btlVCQoIkKSEhQSEhIY7ALUnR0dHy9fXVmjVrHG06dOiggIAAR5uYmBglJyfr0KFDRdaWnZ2tzMzMQgvcx8qVK/Xmm29KkurWrav4+HgdOHBAWVlZ2rFjhyZMmECXEQCAx1ixQnrxRWv93XelSy+1tx5v5NJ3up966illZmaqUaNGKleunPLy8vTSSy8pNjZWkpSSkiJJCg0NLfS+0NBQx76UlBTVqlWr0H4/Pz9Vq1atUJvIyMgzjlGwr6iJVBi9AgAAuIO0NKtbiTHSgAHWUIEoey59p/vTTz/V7NmzNWfOHK1fv16zZs3Sq6++qlmzZtldGqNXAAAAl5efL/XrJ6WkSE2aSJMm2V2R93LpO91PPPGEnnrqKfXu3VuSNX7yH3/8obFjx6pfv34KCwuTJKWmphYaZSI1NVWtWrWSJIWFhSktLa3QcU+cOKGDBw863h8WFqbU1NRCbQpeF7Q5XWBgoALpDAUAXufoUenXX63Z/LZvl7Zssbsi4Oxee01aulQqX16aN0+qWNHuiryXS4fuY8eOyde38M34cuXKKT8/X5IUGRmpsLAwLV++3BGyMzMztWbNGg0cOFCSFBUVpfT0dCUlJal169aSpBUrVig/P98xFnNUVJSeeeYZ5ebmyt/fX5K0bNkyNWzYsMiuJQAAz5aXJ/3+uxWqt28/GbCTk6U//7S7OqB4EhKkESOs9YkTpdMG8kIZc+nQfeutt+qll15SRESEmjZtqg0bNuj111/XfffdJ0ny8fHRkCFD9OKLL6pBgwaOIQPDw8PVvXt3SVLjxo1100036YEHHtDUqVOVm5urQYMGqXfv3gr/32jwd911l8aMGaMBAwZo+PDh2rJliyZOnKg33njDrlMHADiZMdL+/YVDdcH6zp1STs7Z31u9unTZZVLDhlJEhDUqBOBKDh6Ueve2/gHZu7f0wAN2VwQfc+pMMy7m8OHDGjlypBYuXKi0tDSFh4erT58+GjVqlGOkEWOMRo8erWnTpik9PV3t27fX5MmTddlllzmOc/DgQQ0aNEiLFi2Sr6+vevbsqUmTJqly5cqONps2bVJcXJwSExNVo0YNPfLIIxo+fHixa83MzFRwcLAyMjIY9cILcf0B13V6d5BTA3Z6+tnfV7681KCBFa4LAnbBevXqJ9vx/YerMUbq3l368ktrlJKkJIn/NJ2jJN9/lw7d7oRfut6N6w/Y63y7g/j4SPXqnRmqGzaU6taVfIsx3ADff7iaN96Qhg2TAgKk1aulyy+3uyLPVZLvv0t3LwEAoEBpdQc59ecll0gVKpTdOQDOtnatVPA/6l9/ncDtSgjdAACX4uzuIICnSk+XevWScnOl22+XHn7Y7opwKkI3AKDM2dkdBPBExkj33Wd9ryIjpenTre8LXAehGwDgFHQHAcrO229LCxdK/v7Sp59KwcF2V4TTEboBABekNLqDnHrXmu4gQMkkJkqPPWatv/KK1KaNvfWgaIRuAMA/OrU7yOl3rUvaHaTgJ91BgAt36JB0551WP+4ePaRHH7W7IpwNoRsAIKno7iAFP4vTHeT0PtaXXWaNEVy+fNmdA+BNjJH69z/Zj/v99+nH7coI3QDgZegOAniGN9+UvvjCGo97/nwpJMTuinAuhG4A8EB0BwE82+rV0pNPWuuvvy61bm1vPfhnhG4AcFN0BwG808GD1njcJ05Id9zBeNzugtANAC7u6FFpx44zx7SmOwjgffLzpX79pN27rX8kMx63+yB0A4ALoDsIgOJ49VVp8WIpMNDqxx0UZHdFKC5CNwCUEbqDALgQq1ZJTz9trU+aJLVqZWs5KCFCNwCUMrqDAChtqalS797W/xXr21d64AG7K0JJEboB4Dyc2h3k9DvXxekOUtRda7qDAChKXp50113Svn1SkybS1Kn043ZHhG4AOAu6gwBwBc89J61YIVWqJH32mfUT7ofQDcDrlUZ3kNO7hNAdBEBpWLpUevFFa/2996TGje2tB+eP0A3AKzA6CAB3s2eP1X9bkgYOlPr0sbceXBhCNwCPQXcQAJ4iJ0e6807pwAFrtsk33rC7IlwoQjcAt8PoIAA83RNPWFO9h4RY43EHBtpdES4UoRuAS6I7CABvNW+eNQ63JH34oRQZaW89KB2EbgC2oTsIABS2bZs0YIC1PmKEdOut9taD0kPoBuB0jA4CAP/s8GGpRw/rd2bHjtLzz9tdEUoToRtAqSjN7iAF63QHAeAtjLFmmfzlFyk8XPrkE8mPlOZRuJwAiq2gO8jpobq43UGK6md9ySVShQpldw4A4Ireftvqy+3nZz04WauW3RWhtBG6AZzh1O4gpwfsjIyzv4/uIABQcgkJ0rBh1vqrr0rXXGNvPXAOQjfgpegOAgD2S0uT7rhDOnHCGpf70UftrgjOQugGPFhpdgcpWKc7CACUjhMnpN69pb/+kho1kqZPt25swDMRugEPcL7dQQIDre4gp/ezpjsIADjfs89K338vVa4sLVggValid0VwJkI34CZOnJD++KPoMa2L2x3k9AcZ6Q4CAPZYsEAaP95a/+ADqXFje+uB8xG64XXGjRunESNGaPDgwXrzzTclSVlZWXrsscc0d+5cZWdnKyYmRpMnT1ZoaGiZ1lYa3UFOD9Z0BwEA15KcLN17r7X+2GNWn254PkI3vEpiYqLeffddtWjRotD2oUOHasmSJZo/f76Cg4M1aNAg9ejRQ//973+dUkdpdQc5NWDTHQQAXN+RI9YEOIcPSx06SOPG2V0RygqhGy6rX79+GjBggDp06FAqxzty5IhiY2P13nvv6cUXX3Rsz8jI0Pvvv685c+aoY8eOkqQZM2aocePGWr16ta6++urz+rwL6Q4SEVF0P+uICLqDAIC7Mka6/35p61apdu2T43LDO3Cp4bIyMjIUHR2tevXqqX///urXr58uuuii8z5eXFycunbtqujo6EKhOykpSbm5uYqOjnZsa9SokSIiIpSQkFCi0D1q1Mlh+OgOAgA41cSJhSfACQuzuyKUJUI3XNbnn3+u/fv366OPPtKsWbM0evRoRUdHa8CAAerWrZv8/f2Lfay5c+dq/fr1SkxMPGNfSkqKAgICFBISUmh7aGioUlJSijxedna2srOzHa8zMzMlWb9QT0V3EACAJK1aJT3+uLX++utSu3b21oOyR+iGS6tZs6aGDRumYcOGaf369ZoxY4buvvtuVa5cWX379tXDDz+sBg0anPMYe/bs0eDBg7Vs2TKVL1++VOoaO3asxowZc8b2Bx+UmjU7GazpDgIA+Osv62HJvDzprrukQYPsrgh2IA7ALezbt0/Lli3TsmXLVK5cOd18883avHmzmjRpojfeeOOc701KSlJaWpquuOIK+fn5yc/PT/Hx8Zo0aZL8/PwUGhqqnJwcpaenF3pfamqqws7y//5GjBihjIwMx7Jnzx5J0iuvSI88InXuLNWvT+AGAG+XnS3dfrs182SLFtJ77zEBjrfiTjdcVm5urr788kvNmDFD3377rVq0aKEhQ4borrvuUlBQkCRp4cKFuu+++zR06NCzHqdTp07avHlzoW39+/dXo0aNNHz4cNWtW1f+/v5avny5evbsKUlKTk7W7t27FRUVVeQxAwMDFRgYWEpnCgDwVIMHS6tXSyEh0sKFUsWKdlcEuxC64bJq166t/Px89enTR2vXrlWrVq3OaHPDDTec0Rf7dFWqVFGzZs0KbatUqZKqV6/u2D5gwAANGzZM1apVU1BQkB555BFFRUWd98glAAC8/7707rvWne05c6SLL7a7ItiJ0A2X9cYbb+iOO+44Zz/skJAQ7dq1q1Q+y9fXVz179iw0OQ4AAOcjMVGKi7PWn39e6tLF3npgPx9jjLG7CE+QmZmp4OBgZWRkOLo+wHtw/QHvxfcfp0tLk9q0kfbskbp1s6Z85xkfz1SS7z//CQAAAJSSEyek3r2twH3ZZdKsWQRuWPjPAAAAoJQ8+aT0/fdSpUrWg5PBwXZXBFdB6AYAACgFH38sFYxi++GHUpMm9tYD10LoBgAAuEAbNkgPPGCtP/OM1KOHvfXA9RC6AQAALsDff0u33SZlZUk33ywVMWExQOgGAAA4XydOSL16SX/8ITVoIM2eLZUrZ3dVcEWEbgAAgPP05JPSihVS5crS559bM08CRSF0AwAAnIfZs08+ODlrFg9O4twI3QAAACWUlCTdf7+1zoOTKA5CNwAAQAmkpZ18cLJrVx6cRPEQugEAAIopJ0e6/XZrxsmGDXlwEsVH6AYAACimwYOl//xHCgqSvviCGSdRfIRuAACAYpg2TZo6VfLxkebMse50A8VF6AYAAPgHP/wgDRpkrb/0ktWXGygJQjcAAMA57Nkj9ewp5eZKd94pPfWU3RXBHRG6AQAAzuLYMWukkrQ0qWVL6YMPrO4lQEkRugEAAIpgjDRggDUmd40a1oyTlSrZXRXcFaEbAACgCOPGSXPnSn5+0mefSfXr210R3BmhGwAA4DSLFlkzTUrS229L111nbz1wf4RuAACAU/z8s3TXXVb3kocflv7v/+yuCJ6A0A0AAPA/Bw5I//qXdOSIdP310ptv2l0RPAWhGwAAQCeHBPztN6v/9vz5kr+/3VXBUxC6AQAAJA0bJq1YYY1Q8uWX1oglQGkhdAMAAK83dar1wKQkffyx1Ly5vfXA8xC6AQCAV1uxovAU792721oOPBShGwAAeK1ff5Vuv13Ky5NiY6URI+yuCJ6K0A0AALxSRoZ0663SoUPSVVdJ06czxTuch9ANAAC8zokTUu/e0i+/SHXqWFO8ly9vd1XwZIRuAADgdZ54Qlq6VKpQQfriC6l2bbsrgqcjdAMAAK8yffrJSW8+/FC64gpby4GXIHQDAACv8f330sCB1vqYMdZDlEBZIHQDAACvsGOH1LOn1Z+7Tx9p5Ei7K4I3IXQDAACPd+iQdMst1s+2baX332ekEpQtQjcAAPBoubnSHXdI27dLdetaI5VUqGB3VfA2hG4AAOCxjJEeeURavlyqVElavFgKC7O7KngjQjcAAPBYkyZJ775rdSX55BOpRQu7K4K3InQDAACP9NVX0rBh1vqECdbsk4BdXD50//XXX+rbt6+qV6+uChUqqHnz5lq3bp1jvzFGo0aNUu3atVWhQgVFR0drx44dhY5x8OBBxcbGKigoSCEhIRowYICOHDlSqM2mTZt07bXXqnz58qpbt64mTJhQJucH55syZYpatGihoKAgBQUFKSoqSl9//bVj//XXXy8fH59Cy0MPPWRjxQCAC7Vpk9Srl5SfL913n/TYY3ZXBG/n0qH70KFDateunfz9/fX1119r69ateu2111S1alVHmwkTJmjSpEmaOnWq1qxZo0qVKikmJkZZWVmONrGxsfr555+1bNkyLV68WKtWrdKDDz7o2J+ZmanOnTurXr16SkpK0iuvvKLnnntO06ZNK9PzhXPUqVNH48aNU1JSktatW6eOHTuqW7du+vnnnx1tHnjgAe3bt8+x8I8uAHBf+/ZZI5UcOSLdcIM0ZQojlcAFGBc2fPhw0759+7Puz8/PN2FhYeaVV15xbEtPTzeBgYHmk08+McYYs3XrViPJJCYmOtp8/fXXxsfHx/z111/GGGMmT55sqlatarKzswt9dsOGDYtda0ZGhpFkMjIyiv0e2Kdq1apm+vTpxhhjrrvuOjN48OALOh7XH/BefP9dy9GjxrRpY4xkTMOGxhw8aHdF8GQl+f679J3uL7/8Um3atNEdd9yhWrVq6fLLL9d7773n2L9r1y6lpKQoOjrasS04OFht27ZVQkKCJCkhIUEhISFq06aNo010dLR8fX21Zs0aR5sOHTooICDA0SYmJkbJyck6dOhQkbVlZ2crMzOz0ALXl5eXp7lz5+ro0aOKiopybJ89e7Zq1KihZs2aacSIETp27JiNVQIAzkd+vnT33dK6dVL16tZIJaf8z3HAVn52F3Auv/32m6ZMmaJhw4bp6aefVmJioh599FEFBASoX79+SklJkSSFhoYWel9oaKhjX0pKimrVqlVov5+fn6pVq1aoTWRk5BnHKNhXtYhv7NixYzVmzJjSOVE43ebNmxUVFaWsrCxVrlxZCxcuVJMmTSRJd911l+rVq6fw8HBt2rRJw4cPV3JyshYsWHDW42VnZys7O9vxmn90AYD9nn5aWrBACgiQFi6ULr3U7oqAk1w6dOfn56tNmzZ6+eWXJUmXX365tmzZoqlTp6pfv3621jZixAgNK3gkWlboqlu3ro0V4VwaNmyojRs3KiMjQ5999pn69eun+Ph4NWnSpFD//ubNm6t27drq1KmTdu7cqUsuuaTI4/GPLgBwLe+/L40ff3L92mvtrQc4nUt3L6ldu7bjbmSBxo0ba/fu3ZKksP+Nbp+amlqoTWpqqmNfWFiY0tLSCu0/ceKEDh48WKhNUcc49TNOFxgY6BgNo2CB6woICNCll16q1q1ba+zYsWrZsqUmTpxYZNu2bdtKkn799dezHm/EiBHKyMhwLHv27HFK3QCAf7Z8uVQw6NTo0VLfvvbWAxTFpUN3u3btlJycXGjb9u3bVa9ePUlSZGSkwsLCtHz5csf+zMxMrVmzxtFfNyoqSunp6UpKSnK0WbFihfLz8x3hKioqSqtWrVJubq6jzbJly9SwYcMiu5bA/eXn5xfqHnKqjRs3SrL+0Xc2/KMLAFzD1q1Sz57SiRNSnz5W6AZckUuH7qFDh2r16tV6+eWX9euvv2rOnDmaNm2a4uLiJEk+Pj4aMmSIXnzxRX355ZfavHmz7rnnHoWHh6t79+6SrDvjN910kx544AGtXbtW//3vfzVo0CD17t1b4eHhkqw+vQEBARowYIB+/vlnzZs3TxMnTizUfQTua8SIEVq1apV+//13bd68WSNGjNDKlSsVGxurnTt36oUXXlBSUpJ+//13ffnll7rnnnvUoUMHtWDaMgBwaSkp0s03SxkZUvv20owZDA0IF1YGo6lckEWLFplmzZqZwMBA06hRIzNt2rRC+/Pz883IkSNNaGioCQwMNJ06dTLJycmF2hw4cMD06dPHVK5c2QQFBZn+/fubw4cPF2rz008/mfbt25vAwEBz0UUXmXHjxpWoToaMcl333XefqVevngkICDA1a9Y0nTp1Mt9++60xxpjdu3ebDh06mGrVqpnAwEBz6aWXmieeeKLE15HrD3gvvv/2OHrUmCuvtIYGbNDAmL//trsieKOSfP99jDHG3tjvGTIzMxUcHKyMjAy6Gnghrj/gvfj+l728POn226XPP7eGBkxIkBo0sLsqeKOSfP9dunsJAADA6Z54wgrcAQHWTwI33AGhGwAAuI133pHeeMNanzXL6ssNuANCNwAAcAuLF0uPPmqtv/SS1Lu3vfUAJUHoBgAALm/dOqlXL2uq9/vuk0aMsLsioGQI3QAAwKX9/rt0yy3SsWNS587S1KkMDQj3Q+gGAAAu69AhqUsXKTVVatlSmj9f8ve3uyqg5AjdAADAJWVnS927S7/8ItWpIy1ZIjEqI9wVoRsAALic/Hzp3nulVausoP3VV9JFF9ldFXD+CN0AAMDlPPOMNHeu5OcnLVggNW9ud0XAhSF0AwAAlzJlijRunLU+fbrUqZO99QClgdANAABcxhdfSIMGWevPPy/162dvPUBpIXQDAACXkJBgTXiTny898ID07LN2VwSUHkI3AACw3fbt0q23SllZUteu0uTJjMUNz0LoBgAAtkpNlW66STpwQLrySmnePOsBSsCTELoBAIBtjhyx7mzv2iVdcom0eLFUqZLdVQGlj9ANAABskZsr3XmnlJQk1aghLV0q1apld1WAcxC6AQBAmTPGeljy66+lChWsO9yXXmp3VYDzELoBAECZe+YZadYsqVw56dNPpbZt7a4IcC5CNwAAKFNvvSWNHWutT5sm3XKLvfUAZYHQDQAAysz8+dLgwdb6Cy9I991nbz1AWSF0AwCAMrFypdS3r9Wfe+BAq4sJ4C0I3QAAwOk2bZK6dZNycqQePawuJkx+A29C6AYAAE71++/W5DeZmdK110qzZ1sPUALehNANAACcZv9+KSZG2rdPatpU+uILqXx5u6sCyh6hGwAAOMXhw9LNN0vbt0sREdI330hVq9pdFWAPQjcAACh1BX23162zZpv89lvpoovsrgqwD6EbAACUqvx86Z57pO++kypVkr76SmrY0O6qAHsRugEAQKkxxhqHe948yd9fWrBAuvJKu6sC7EfoBgAApeall6S337bWZ82SOne2tx7AVRC6AQBAqZgyRRo50lqfOFHq08feegBXQugGAAAXbN48KS7OWh85Unr0UXvrAVwNoRsAAFyQb76R7r775PTuY8bYXRHgegjdAADgvK1ebQ0NmJsr9erF9O7A2RC6AQDAedmyxZr85tgxa9bJDz9kenfgbAjdAACgxH7/3Qrahw5JUVHSv/8tBQTYXRXgugjdAACgRPbtk6Kjpb17pWbNpMWLrUlwAJwdoRsAABTbwYPW2Ns7d0qRkdZDlNWq2V0V4PoI3fB4U6ZMUYsWLRQUFKSgoCBFRUXp66+/duzPyspSXFycqlevrsqVK6tnz55KTU21sWIAcE1Hjlh9uLdskWrXtqZ5Dw+3uyrAPRC64fHq1KmjcePGKSkpSevWrVPHjh3VrVs3/fzzz5KkoUOHatGiRZo/f77i4+O1d+9e9ejRw+aqAcC1ZGVJ3btLa9ZYd7aXLZMuvtjuqgD3UaLQ3alTJy1YsOCs+//++29dzDcQLubWW2/VzTffrAYNGuiyyy7TSy+9pMqVK2v16tXKyMjQ+++/r9dff10dO3ZU69atNWPGDP34449avXq13aUDgEs4ccKaXXL5cqlyZenrr6WmTe2uCnAvJQrd33//ve68806NHj26yP15eXn6448/SqUwwBny8vI0d+5cHT16VFFRUUpKSlJubq6io6MdbRo1aqSIiAglJCTYWCkAuIb8fGnAAOnzz6XAQOnLL6WrrrK7KsD9+JX0DVOmTNHjjz+uTZs26eOPP1YlHleGG9i8ebOioqKUlZWlypUra+HChWrSpIk2btyogIAAhYSEFGofGhqqlJSUsx4vOztb2dnZjtcZGRmSpMzMTKfUD8B1FXzvjTE2V1L6jLGmcy8Yf/vTT6UbbrC7KsA9lTh0d+vWTe3bt1e3bt109dVX64svvqBLCVxew4YNtXHjRmVkZOizzz5Tv379FB8ff97HGzt2rMYUMc9x3bp1L6RMAG7swIEDCg4OtruMUvX009I771gzTM6aJf3rX3ZXBLivEoduSWrcuLESExPVp08fXXnllZo3b16h/z0PuJqAgABdeumlkqTWrVsrMTFREydOVK9evZSTk6P09PRCd7tTU1MVFhZ21uONGDFCw4YNc7xOT09XvXr1tHv3bo/7S7c4MjMzVbduXe3Zs0dBQUF2l1PmOH/vPv+MjAxFRESomoeNm/fyy9K4cdb61KlSbKy99QDu7rxCtyQFBwdryZIlGjFihG6++WaNHz9ed911V2nWBjhNfn6+srOz1bp1a/n7+2v58uXq2bOnJCk5OVm7d+9WVFTUWd8fGBiowMDAM7YHBwd7ZegoUDAso7fi/L37/H19PWdAsEmTpGeesdZffVV68EF76wE8QYlCt4+Pzxmvx40bp1atWun+++/XihUrSrU4oDSMGDFCXbp0UUREhA4fPqw5c+Zo5cqV+uabbxQcHKwBAwZo2LBhqlatmoKCgvTII48oKipKV199td2lA0CZ++ADafBga330aOmxx+ytB/AUJQrdZ3tIpHfv3mrUqJG6d+9eGjUBpSotLU333HOP9u3bp+DgYLVo0ULffPONbrzxRknSG2+8IV9fX/Xs2VPZ2dmKiYnR5MmTba4aAMrep59KDzxgrQ8bZoVuAKWjRKH7+++/P2uftVatWikpKUlLliwplcKA0vL++++fc3/58uX1zjvv6J133jnvzwgMDNTo0aOL7HLiDTh/zp/zd//zX7TI6redn291J3n1VesBSgClw8d44hhHNsjMzFRwcLAyMjK8uk8jAMD9fPutdOutUk6OdNddJ4cIBHBuJcl/nvPUBwAAKLH4eGt695wcqUcPa2hAAjdQ+gjdAAB4qYQE6ZZbpOPHpa5dpU8+kfzOe1wzAOdC6AYAwAutXy916SIdOSJFR0uffSYFBNhdFeC5CN0AAHiZLVukG2+UMjKka6+VPv9cKl/e7qoAz0boBk4zduxYXXnllapSpYpq1aql7t27Kzk5uVCbrKwsxcXFqXr16qpcubJ69uyp1NTUcx7XGKNRo0apdu3aqlChgqKjo7Vjxw5nnsp5cdb533vvvfLx8Sm03HTTTc48lfNSnPOfNm2arr/+egUFBcnHx0fp6enFOvY777yj+vXrq3z58mrbtq3Wrl3rhDO4MM46/+eee+6M69+oUSMnncX5+6fzP3jwoB555BE1bNhQFSpUUEREhB599FFlZGSc87iu9P3/5RfrzvbBg1LbttLixVKlSraUAngVQjdwmvj4eMXFxWn16tVatmyZcnNz1blzZx09etTRZujQoVq0aJHmz5+v+Ph47d27Vz169DjncSdMmKBJkyZp6tSpWrNmjSpVqqSYmBhlZWU5+5RKxFnnL0k33XST9u3b51g++eQTZ57KeSnO+R87dkw33XSTnn766WIfd968eRo2bJhGjx6t9evXq2XLloqJiVFaWpozTuO8Oev8Jalp06aFrv8PP/xQ2uVfsH86/71792rv3r169dVXtWXLFs2cOVNLly7VgAEDznlcV/n+79ghdewopaZKrVpJX38tMeAWUEYMSkVGRoaRZDIyMuwuBaUsLS3NSDLx8fHGGGPS09ONv7+/mT9/vqPNtm3bjCSTkJBQ5DHy8/NNWFiYeeWVVxzb0tPTTWBgoPnkk0+cewIXqDTO3xhj+vXrZ7p16+bsckvd6ed/qu+//95IMocOHfrH41x11VUmLi7O8TovL8+Eh4ebsWPHlma5pa60zn/06NGmZcuWpV+gk53r/At8+umnJiAgwOTm5ha531W+/zt3GlOnjjGSMc2aGbN/f5l9NOCxSpL/uNMN/IOC/21cMDFUUlKScnNzFR0d7WjTqFEjRUREKCEhochj7Nq1SykpKYXeExwcrLZt2571Pa6iNM6/wMqVK1WrVi01bNhQAwcO1IEDB5xXeCk5/fzPR05OjpKSkgr9mfn6+io6Otrtrv+F2LFjh8LDw3XxxRcrNjZWu3fvvuBjOltxzr9gfF6/swz74Qrf/z/+kG64QfrzT6lxY2n5cqlGjTL5aAD/Q+gGziE/P19DhgxRu3bt1KxZM0lSSkqKAgICFBISUqhtaGioUlJSijxOwfbQ0NBiv8cVlNb5S1bXkg8//FDLly/X+PHjFR8fry5duigvL8+Zp3BBijr/8/H3338rLy/PI67/+Wrbtq2jK8aUKVO0a9cuXXvttTp8+HApVVv6inP+f//9t1544QU9+OCDZz2O3d//P/+0Avfu3dJll1mBu1Ytp38sgNMwGidwDnFxcdqyZYtL9j0tC6V5/r1793asN2/eXC1atNAll1yilStXqlOnThd8fGfg+pfe+Xfp0sWx3qJFC7Vt21b16tXTp59++o/9oe3yT+efmZmprl27qkmTJnruuefKtrhi2rvX6sO9a5d0ySXSihVS7dp2VwV4J+50A2cxaNAgLV68WN9//73q1Knj2B4WFqacnJwzRmxITU1VWFhYkccq2H76CB/neo/dSvP8i3LxxRerRo0a+vXXX0ur5FJ1tvM/HzVq1FC5cuU84vqXlpCQEF122WVue/0PHz6sm266SVWqVNHChQvl7+9/1mPZ9f1PSZE6dbIenqxf3wrcF13ktI8D8A8I3cBpjDEaNGiQFi5cqBUrVigyMrLQ/tatW8vf31/Lly93bEtOTtbu3bsVFRVV5DEjIyMVFhZW6D2ZmZlas2bNWd9jF2ecf1H+/PNPHThwQLVd7LbbP53/+QgICFDr1q0L/Znl5+dr+fLlbnf9S8uRI0e0c+dOt7z+mZmZ6ty5swICAvTll1+q/D8McG3H9z811brD/csvUt26VuCOiHDKRwEoLuc+0+k9GL3EcwwcONAEBweblStXmn379jmWY8eOOdo89NBDJiIiwqxYscKsW7fOREVFmaioqELHadiwoVmwYIHj9bhx40xISIj54osvzKZNm0y3bt1MZGSkOX78eJmdW3E44/wPHz5sHn/8cZOQkGB27dplvvvuO3PFFVeYBg0amKysrDI9v39SnPPft2+f2bBhg3nvvfeMJLNq1SqzYcMGc+DAAUebjh07mrfeesvxeu7cuSYwMNDMnDnTbN261Tz44IMmJCTEpKSklOn5/RNnnf9jjz1mVq5caXbt2mX++9//mujoaFOjRg2TlpZWpuf3T/7p/DMyMkzbtm1N8+bNza+//lqozYkTJxzHsfP7n5JiTJMm1igldeoY8+uvpf4RAP6nJPmP0F1KCN2eQ1KRy4wZMxxtjh8/bh5++GFTtWpVU7FiRXPbbbeZffv2nXGcU9+Tn59vRo4caUJDQ01gYKDp1KmTSU5OLqOzKj5nnP+xY8dM586dTc2aNY2/v7+pV6+eeeCBB1wucBpTvPMfPXr0P7apV6+eGT16dKFjv/XWWyYiIsIEBASYq666yqxevbpsTqoEnHX+vXr1MrVr1zYBAQHmoosuMr169TK/umAa/KfzLxgmsahl165dhY5jx/c/NdWYpk2twH3RRcbs2FHqHwHgFCXJfz7GGFOKN869VmZmpoKDgx1DRwEAUJb277e6lGzZIoWHSytXSg0a2F0V4NlKkv/o0w0AgJv7+2/rocktW6zRSb7/nsANuBpCNwAAbqwgcG/eLIWFWYH7ssvsrgrA6QjdAAC4qYIuJZs2SaGhVuBu2NDuqgAUhdANAIAbSkuzAnfBHe6VK6VGjeyuCsDZMCMlAABupmAc7q1bT/bh5g434Nq40w0AgBtJSZFuuMEK3AWjlBC4AdfHnW4AANxEQeD+5RdrSndGKQHcB3e6AQBwA3v3StdfbwXuOnUYhxtwN4RuAABc3J490nXXScnJUt26VuC+9FK7qwJQEoRuAABc2O+/W4H711+l+vWlVaukSy6xuyoAJUXoBoDzsH//foWFhenll192bPvxxx8VEBCg5cuX21gZPMnOnVbg3rXLCtqrVlnBG4D74UFKADgPNWvW1AcffKDu3burc+fOatiwoe6++24NGjRInTp1srs8eIDt261hAf/6yxqdZPly6+FJAO7Jxxhj7C7CE2RmZio4OFgZGRkKCgqyuxwAZSQuLk7fffed2rRpo82bNysxMVGBgYF2lwU3t22bFbhTUqQmTazAHRZmd1UATleS/EfoLiWEbsA7HT9+XM2aNdOePXuUlJSk5s2b210S3NxPP0k33mhN8d6ihfTdd1LNmnZXBaAoJcl/btWne9y4cfLx8dGQIUMc27KyshQXF6fq1aurcuXK6tmzp1JTUwu9b/fu3eratasqVqyoWrVq6YknntCJEycKtVm5cqWuuOIKBQYG6tJLL9XMmTPL4IwAuLudO3dq7969ys/P1++//253OXBziYnWONz790tXXCGtWEHgBjyF24TuxMREvfvuu2rRokWh7UOHDtWiRYs0f/58xcfHa+/everRo4djf15enrp27aqcnBz9+OOPmjVrlmbOnKlRo0Y52uzatUtdu3bVDTfcoI0bN2rIkCG6//779c0335TZ+QFwPzk5Oerbt6969eqlF154Qffff7/S0tLsLgtu6ocfpE6dpEOHpKgoq0tJ9ep2VwWg1Bg3cPjwYdOgQQOzbNkyc91115nBgwcbY4xJT083/v7+Zv78+Y6227ZtM5JMQkKCMcaYr776yvj6+pqUlBRHmylTppigoCCTnZ1tjDHmySefNE2bNi30mb169TIxMTHFrjEjI8NIMhkZGed7mgDczOOPP27q169vMjIyTF5enmnfvr3p2rWr3WXBDS1fbkzFisZIxlx/vTGHD9tdEYDiKEn+c4s73XFxceratauio6MLbU9KSlJubm6h7Y0aNVJERIQSEhIkSQkJCWrevLlCQ0MdbWJiYpSZmamff/7Z0eb0Y8fExDiOUZTs7GxlZmYWWgB4j5UrV+rNN9/URx99pKCgIPn6+uqjjz7Sf/7zH02ZMsXu8uBGvvpKuvlm6dgxKSZGWrJEqlzZ7qoAlDaXHzJw7ty5Wr9+vRITE8/Yl5KSooCAAIWEhBTaHhoaqpSUFEebUwN3wf6Cfedqk5mZqePHj6tChQpnfPbYsWM1ZsyY8z4vAO7t+uuvV25ubqFt9evXV0ZGhk0VwR0tWCD17i3l5krduknz5kkMfgN4Jpe+071nzx4NHjxYs2fPVvny5e0up5ARI0YoIyPDsezZs8fukgAAbuTDD6U77rAC9513SvPnE7gBT+bSoTspKUlpaWm64oor5OfnJz8/P8XHx2vSpEny8/NTaGiocnJylJ6eXuh9qampCvvfgKZhYWFnjGZS8Pqf2gQFBRV5l1uSAgMDFRQUVGgBAKA4Jk+W+vWT8vOl/v2lOXMkf3+7qwLgTC4dujt16qTNmzdr48aNjqVNmzaKjY11rPv7+xeacjk5OVm7d+9WVFSUJCkqKkqbN28uNKLAsmXLFBQUpCZNmjjanD5t87JlyxzHAACgtIwfL8XFWeuPPipNny6VK2dvTQCcz6X7dFepUkXNmjUrtK1SpUqqXr26Y/uAAQM0bNgwVatWTUFBQXrkkUcUFRWlq6++WpLUuXNnNWnSRHfffbcmTJiglJQUPfvss4qLi3PMGvfQQw/p7bff1pNPPqn77rtPK1as0KeffqolS5aU7QkDADyWMdKzz0ovv2y9fuYZ6YUXJB8fe+sCUDZcOnQXxxtvvCFfX1/17NlT2dnZiomJ0eTJkx37y5Urp8WLF2vgwIGKiopSpUqV1K9fPz3//POONpGRkVqyZImGDh2qiRMnqk6dOpo+fbpiYmLsOCUAgIfJz5eGDpUmTbJejx8vPfmkvTUBKFtMA19KmAYeAFCUEyekBx6QCiY6njxZGjjQ1pIAlJKS5D+3v9MNAICrysqS+vSRPv/c6rc9Y4Z09912VwXADoRuAACc4PBhqXt3acUKayjAefOssbgBeCdCNwAApezAAWuWybVrrdklv/xSuuEGu6sCYCdCNwAApWjvXqlzZ+nnn6Xq1aWvv5auvNLuqgDYjdANAEAp2blTuvFGadcu6aKLpG+/lf43JQQAL+fSk+MAAOAuNm6U2rWzAvcll0g//EDgBnASoRsAgAsUHy9dd52Umiq1amUF7vr17a4KgCshdAMAcAE+/1yKiZEyM63gvXKlFBZmd1UAXA2hGwCA8/TBB1LPnlJ2tjUc4NKlUnCw3VUBcEWEbgAASsgYayr3AQOsKd7vu0/67DOpfHm7KwPgqgjdAACUQH6+NGyY9NRT1usnn5SmT5f8GA8MwDnwKwIAgGLKzpbuvVeaO9d6/eqr0mOP2VoSADdB6AYAoBgyM6UePaTly6272jNmSH372l0VAHdB6AYA4B+kpkpdukgbNkiVKkn//rc1YgkAFBehGwCAc/j1Vytg//abVLOmtGQJ07oDKDkepAQA4CwSE61ZJn/7TYqMlP77XwI3gPND6AYAoAhLlkjXXy+lpVmzTP74o9Sggd1VAXBXhG4AAE7z/vvWZDfHjkk33mhN884skwAuBKEbAID/MUZ67jnp/vulvDzpnnusO95BQXZXBsDdEboBAJCUm2uF7TFjrNfPPCPNnCn5+9taFgAPweglAACvd/iw1KuX9PXXkq+vNHmy9H//Z3dVADwJoRsA4NX27pW6dpU2bpQqVLBmm/zXv+yuCoCnIXQDALzW5s3SzTdLf/4p1aolLVokXXWV3VUB8ET06QYAeKXly6X27a3A3bChtHo1gRuA8xC6AQBeZ9Ys6aabpMxMqUMHawzuyEi7qwLgyQjdAACvUTAk4L33SidOSH36SN9+K1WrZndlADwdfboBAF4hO1saMECaPdt6PWKE9OKL1mglAOBshG4AgMf7+2/pttukH36Q/PykKVOsMbkBoKwQugEAHm37dmuEkp07peBg6bPPpOhou6sC4G0I3QAAjxUfb93hPnRIql/fmtK9SRO7qwLgjejJBgDwSB9+KN14oxW427a1hgQkcAOwC6EbAOBR8vOlp5+W+vWTcnOl22+Xvv9eCg21uzIA3ozQDQDwGEePWiF77Fjr9dNPS/PmWdO7A4Cd6NMNAPAIf/0l3XqrtGGDFBAgTZ8u3X233VUBgIXQDQBwe+vWSf/6l7Rvn1SjhvT551K7dnZXBQAn0b0EAODW5s+3pnLft09q2lRau5bADcD1ELoBAG4pP18aPVq6807p+HGpSxfpxx+lyEi7KwOAM9G9BADgdo4etUYn+fe/rddDh0oTJlizTQKAK+LXEwDArezeLXXrJm3cKPn7S1OnSvfdZ3dVAHBuhG4AgNv48Udrhsm0NKlmTWnBAql9e7urAoB/Rp9uAIBbmDFDuuEGK3C3bCklJhK4AbgPQjcAwKXl5kqPPmp1IcnJkXr0kH74QapXz+7KAKD4CN0AAJf1999STIz01lvW6zFjrCECK1e2ty4AKCn6dAMAXNKmTdYDk7//boXsjz6Sune3uyoAOD/c6QYAuJz586WoKCtwX3KJtHo1gRuAeyN0AwBcRl6e9PTT1oQ3x45JN95ozTDZtKndlQHAhaF7CQDAJRw8KN11l/TNN9brYcOk8eOZ8AaAZ+BXGQDAdps2WeNv//abVKGCNH26FcABwFMQugEAtpo7VxowwOpOEhkpLVxojcMNAJ6EPt0AAFucOCE98YTUp48VuDt3ltatI3AD8EyEbgBAmUtNtR6SfPVV6/WIEdJXX0nVqtlbFwA4C91LAABlKiFBuuMO6a+/rPG3Z86Ueva0uyoAcC7udAMAyoQx0jvvSNddZwXuxo2lxEQCNwDvQOgGADjd0aPSPfdIgwZJubnWne41a6RGjeyuDADKBt1LAABOtX27dPvt0ubNUrly0oQJ0tChko+P3ZUBQNkhdAMAnOazz6T77pMOH5ZCQ6V586zuJQDgbeheAgAodTk51t3sO+6wAve110rr1xO4AXgvQjcAoFTt2SNdf7305pvW6+HDpRUrpPBwO6sCAHvRvQQAUGq+/VaKjZX+/lsKDpY+/FD617/srgoA7MedbgDABTtxQnr2Wemmm6zAfcUVVncSAjcAWLjTDQC4IHv3WlO5r1plvf6//7O6lpQvb2tZAOBSCN0AgPP27bdS377S/v3W7JLvvSf17m13VQDgeuheAgAosVO7k+zfL7VsKSUlEbgB4Gy40w0AKJE//7Qeljy1O8kbb0gVKthbFwC4MkI3AKDYFi2S7r1XOnjQ6k4ybZrVnxsAcG50LwEA/KPsbGnIEGs0koMHT45OQuAGgOIhdAMAzmnHDumaa6SJE63XQ4ZIP/4oNWhga1kA4FboXgIAOKuPP5YGDpSOHJGqV5dmzpRuucXuqgDA/RC6AQBnyMyUHn5Ymj3bet2hg7Vep469dQGAu6J7CQCgkNWrpVatrJBdrpw0Zoy0YgWBGwAuBHe6AQCSpLw8adw4afRoa71+fSt4X3ON3ZUBgPsjdAMAtGePdPfdUny89bp3b2nqVCk42N66AMBT0L0EALzc3LlSixZW4K5cWZo1S5ozh8ANAKWJO90A4KUyMqRBg6wRSiTpqqus7iSXXmpvXQDgibjTDQBeaNUq6+72xx9Lvr7SqFHSDz8QuAHAWbjTDQBeJCdHeu4564FJY6SLL7aCd1SU3ZUBgGcjdAOAl/j5Z+thyQ0brNf9+1uzTFapYm9dAOAN6F4CAB4uP1967TWpdWsrcFerJs2fL33wAYEbAMqKS4fusWPH6sorr1SVKlVUq1Ytde/eXcnJyYXaZGVlKS4uTtWrV1flypXVs2dPpaamFmqze/dude3aVRUrVlStWrX0xBNP6MSJE4XarFy5UldccYUCAwN16aWXaubMmc4+PQBwut9/lzp2lB5/XMrOlm6+WdqyRbr9drsrAwDv4tKhOz4+XnFxcVq9erWWLVum3Nxcde7cWUePHnW0GTp0qBYtWqT58+crPj5ee/fuVY8ePRz78/Ly1LVrV+Xk5OjHH3/UrFmzNHPmTI0aNcrRZteuXeratatuuOEGbdy4UUOGDNH999+vb775pkzPFwBKizHSjBknhwKsVEmaNk1avFiqXdvu6gDA+/gYY4zdRRTX/v37VatWLcXHx6tDhw7KyMhQzZo1NWfOHN3+v9s2v/zyixo3bqyEhARdffXV+vrrr3XLLbdo7969Cg0NlSRNnTpVw4cP1/79+xUQEKDhw4dryZIl2rJli+OzevfurfT0dC1durRYtWVmZio4OFgZGRkKCgoq/ZMHgGLat0968EErYEtSu3bShx9aD00CAEpPSfKfS9/pPl1GRoYkqVq1apKkpKQk5ebmKjo62tGmUaNGioiIUEJCgiQpISFBzZs3dwRuSYqJiVFmZqZ+/vlnR5tTj1HQpuAYRcnOzlZmZmahBQDsZIw1qU3TplbgDgiwRimJjydwA4Dd3CZ05+fna8iQIWrXrp2aNWsmSUpJSVFAQIBCQkIKtQ0NDVVKSoqjzamBu2B/wb5ztcnMzNTx48eLrGfs2LEKDg52LHXr1r3gcwSA85WWZvXTjo2VDh2yHppcv14aPlwqV87u6gAAbhO64+LitGXLFs2dO9fuUiRJI0aMUEZGhmPZs2eP3SUB8FKffWbd3V6wQPL3l154QUpIsLYBAFyDW4zTPWjQIC1evFirVq1SnTp1HNvDwsKUk5Oj9PT0Qne7U1NTFRYW5mizdu3aQscrGN3k1Danj3iSmpqqoKAgVahQociaAgMDFRgYeMHnBgDnKy1NiouzQrdkPTT54YdSy5b21gUAOJNL3+k2xmjQoEFauHChVqxYocjIyEL7W7duLX9/fy1fvtyxLTk5Wbt371bU/6ZXi4qK0ubNm5WWluZos2zZMgUFBalJkyaONqceo6BNFFO0AXBBxkiffCI1aWIF7nLlpGeflRITCdwA4KpcevSShx9+WHPmzNEXX3yhhg0bOrYHBwc77kAPHDhQX331lWbOnKmgoCA98sgjkqQff/xRkjVkYKtWrRQeHq4JEyYoJSVFd999t+6//369/PLLkqwhA5s1a6a4uDjdd999WrFihR599FEtWbJEMTExxaqV0UsAlIV9+6SBA6UvvrBet2xpDQ14+eX21gUA3qgk+c+lQ7ePj0+R22fMmKF7771XkjU5zmOPPaZPPvlE2dnZiomJ0eTJkx1dRyTpjz/+0MCBA7Vy5UpVqlRJ/fr107hx4+Tnd7J3zcqVKzV06FBt3bpVderU0ciRIx2fURyEbgDOZIzVdWTIECk93eq7PXKk9NRT1joAoOx5TOh2J4RuAM7y++/S//2f9O231us2bawp3Js3t7UsAPB6HjtONwB4k7w86c03rVFIvv1WKl/eGnc7IYHADQDuxi1GLwEAb7Nli3T//dKaNdbr666T3ntPatDA3roAAOeHO90A4EKysqRRo6QrrrACd1CQ9O670ooVBG4AcGfc6QYAF/H999JDD0nbt1uvu3WT3nlHuugie+sCAFw47nQDgM0OHJD695c6drQCd1iY9Omn0sKFBG4A8BSEbgCwiTHSRx9JjRpJM2dKPj7WGNy//CLdcYf1GgDgGeheAgA2SE62pnAvmAy3WTNp2jSJiXABwDNxpxsAytDx49aDki1aWIG7fHnp5ZelpCQCNwB4Mu50A0AZWbrUurv922/W6y5dpLffli6+2N66AADOx51uAHCyv/6y+mh36WIF7osukj77TFqyhMANAN6C0A0ATpKTI02YIDVsaIXscuWkYcOkbduknj15UBIAvAndSwDACZYvlwYNskYikaz+2lOmSC1b2lsXAMAe3OkGgFK0Z490551SdLQVuGvWlGbMkH74gcANAN6M0A0ApSArSxo71hpze/58yddXeuQRa7Kbe++1XgMAvBfdSwDgAhgjLVokDR16clSSdu2s6du5sw0AKMC9FwA4T9u2STfdJHXrZgXu8HBrhsn//IfADQAojNANACWUnm7d2W7RQvr2WykgQBoxwpplsm9fRiUBAJyJ7iUAUEwnTlhTtY8aJR04YG3717+k11+XLrnE3toAAK6N0A0AxfDNN9YY21u3Wq+bNLHCdkyMvXUBANwD3UsA4By2bZNuvtnqu711q1S9uvWQ5E8/EbgBAMXHnW4AKEJamjRmjPTuu1JenuTnJz36qPTss1LVqnZXBwBwN4RuADjFsWPSm29K48ZJhw9b2/71L+mVV6TLLrO1NACAGyN0A4Ck/HxruL9nn5X+/NPa1rq19Oqr0vXX21oaAMADELoBeDVjrGH/nnpK2rjR2hYRYc0u2bs3M0kCAEoHoRuA10pMtML2ihXW6+Bg6ZlnrOnby5e3tzYAgGchdAPwOjt2WOF6/nzrdUCAFBcnPf20VKOGvbUBADwToRuA19i7V3rxRem996yJbnx8pLvvlp5/XqpXz+7qAACejNANwOMdOCCNHy+99ZaUlWVt69pVevllayp3AACcjdANwGNlZkpvvCG99trJ4f/atZNeekm67jp7awMAeBdCNwCPc+yYNHmyNdb2gQPWtlatrLDdpYvVrQQAgLJE6AbgMY4fl6ZNs4b7S021tjVsKL3wgtSzJ8P/AQDsQ+gG4Pays6Xp060+2nv3Wtvq15dGjbIelPTjNx0AwGb8VQTAbWVnSzNmWN1GCmaRjIiwZpW8917J39/W8gAAcCB0A3A7WVnWne1x46S//rK2XXSRNfb2ffdJgYH21gcAwOkI3QDcxrFjVp/tCROkffusbRddJA0fLj3wALNIAgBcF6EbgMs7fFiaMsUa+i8tzdoWESGNGCH178+dbQCA6yN0A3BZBw5IkyZZS3q6tS0y0pqu/Z57rOnbAQBwB4RuAC5n717rrva770pHj1rbGjaUnnpKio3lAUkAgPshdANwGdu3S6++Ks2aJeXkWNsuv9y6s33bbVK5cvbWBwDA+SJ0A7DdmjXWw5ELF0rGWNvat7dGI4mJYQZJAID7I3QDsEV+vvT111bYXrXq5PZbb5WefNIK3QAAeApCN4AylZUlffyx9Prr0rZt1jZ/f6lvX+nxx6UmTeytDwAAZyB0AygTaWnS5MnWsn+/ta1KFen//k8aMsQabxsAAE9F6AbgVFu2SBMnSh99ZE3bLkn16kmDB0sDBkhBQfbWBwBAWSB0Ayh1eXnSkiVW2F6x4uT2q66SHntM6tFD8uO3DwDAi/DXHoBSk54uzZghvf229Ntv1jZfXytkDx4stWvHSCQAAO9E6AZwwTZvlt55x3pAsmAym6pVpQcekOLirCnbAQDwZoRuAOclJ0dasMB6MPI//zm5vWlT6dFHrdFIKla0rz4AAFwJoRtAiezeLU2fLr33npSSYm0rV87qQvLww9J119GFBACA0xG6AfyjEyekr76S3n3XmtCmYNbI2rWlBx+0lvBwe2sEAMCVEboBnNWePdZd7fffl/766+T2jh2t8bVvu82a2AYAAJwboRtAIdnZ0pdfWkH7229P3tWuUUO6917rrnaDBraWCACA2yF0A5BkjUDywQfWJDYHDpzcfv31J+9qBwbaVh4AAG6N0A14sQMHpE8+kWbNktatO7k9PNy6q92/v3TppbaVBwCAxyB0A14mN9d6GHLWLGnRIuu1ZM0Q+a9/WVOzd+7MjJEAAJQm/loFvIAx0tq10uzZ0ty50v79J/e1amXd1e7TR6pVy64KAQDwbIRuwIPt2GEF7dmzpV9/Pbk9NFSKjZX69ZNatLCvPgAAvAWhG/Awf/4pzZ9v9dVOTDy5vWJFqVs3K2zHxNB9BACAssRfu4AHSE2VPvtMmjev8JTs5cpJN95oBe3u3aXKlW0rEQAAr0boBtxUaqq0cKEVtr//XsrPP7mvXTupVy/pzjutriQAAMBehG7Ajfz5p7RggfTvf1t3tAsmrpGkq66ygvYdd0h169pXIwAAOBOhG3BxycnS559by+rVhfddeaXUs6cVtC++2I7qAABAcRC6AReTny+tWSN98YUVtJOTT+7z8ZGuuUa6/XapRw8pIsK2MgEAQAkQugEXcPiwtGyZtGSJtaSmntzn7y917GiNPNKtmzVbJAAAcC+EbsAmO3daAXvxYmnlypMzQ0pSUJB0883WiCM33SQFB9tVJQAAKA2EbqCMHDlijTLyzTfS0qVW6D7VpZdKt9wide0qdeggBQTYUycAACh9hG7ASfLypI0bpeXLraD9n/8Uvpvt7y+1b28F7VtukS67zLZSAQCAkxG6gVJijPTbb9J331nLihXSwYOF29SvL3XpYnUZueEGqUoVW0oFAABljNANXIDff7f6Y69caXUd2b278P4qVaTrr5eio62g3aCBNQIJAADwLoRuoJiMkXbssLqJrFolxcdLf/xRuI2/v3T11VbIjo62xtH297enXgAA4DoI3cBZ5ORYfbJ/+OHksn9/4TZ+flawvv56a7nmGqlyZRuKBQAALo3QDfzPX39ZMz4mJFg/k5KkrKzCbQIDrenW27cnZAMAgOIjdMMrHTxohep166TERGv5888z21WrJrVrZ4Xs9u2l1q2t4A0AAFAShG54vLQ0acMGq6vIhg1W0D59jGxJKldOatHC6pNdsPDgIwAAKA2EbniMnBxp+3Zp82Zr+eknK2Tv21d0+0svldq0KbxUqlS2NQMAAO9A6Ibbycmx7lRv22YtW7ZYS3Jy4clnCvj4WHesL79catXKCtetW0tVq5Z56QAAwEsRuuGSjJFSUqwh+gqW5GQrZO/cKZ04UfT7goKkZs2spWVLK2S3aMHDjgAAwF6Ebtjm+HFrcplduwovO3dKv/4qHT169vdWriw1biw1aiQ1aSI1b24tdevSBxsAALgeQvdp3nnnHb3yyitKSUlRy5Yt9dZbb+mqq66yuyy3c/So1Zd63z5rKL49e85c0tLOfQxfX2va9AYNTi6NG1vLRRcRrgEAgPsgdJ9i3rx5GjZsmKZOnaq2bdvqzTffVExMjJKTk1WrVi27y7ONMdKxY9KhQ9ZQe4cOWZPE7N9vBedT1/ftk/bulQ4fLt6xq1SRIiMLLxdfbAXsyEgpIMC55wYAAFAWfIwxxu4iXEXbtm115ZVX6u2335Yk5efnq27dunrkkUf01FNPnfO9mZmZCg4OVkZGhoKCgsqiXP35pzV5S37+mcuJE9YDh7m51s+CJSvLCtDHj1s/C9YPH7aWzMzCPw8dspacnJLXV6mSVLu2tdSte+YSEWGNg80dawAA4I5Kkv+40/0/OTk5SkpK0ogRIxzbfH19FR0drYSEhDPaZ2dnKzs72/E6MzOzTOo8Vbdu0vr1Zfd5/v7WiB9Vq0o1a55catU6uV4QssPDrbvYAAAAIHQ7/P3338rLy1NoaGih7aGhofrll1/OaD927FiNGTOmrMorUuXK1mgdvr7W4uNzcr1cOWvmxIAAKywHBFhLYKB1B7pCBaliRWupUOHksapUOfmzShUrYFerZv2sVIm70gAAAOeD0H2eRowYoWHDhjleZ2Zmqm7dumVaQ3x8mX4cAAAAzhOh+39q1KihcuXKKTU1tdD21NRUhYWFndE+MDBQgYGBZVUeAAAA3Jiv3QW4ioCAALVu3VrLly93bMvPz9fy5csVFRVlY2UAAABwd9zpPsWwYcPUr18/tWnTRldddZXefPNNHT16VP3797e7NAAAALgxQvcpevXqpf3792vUqFFKSUlRq1attHTp0jMergQAAABKgnG6S4kd43QDAADAPiXJf/TpBgAAAJyM0A0AAAA4GaEbAAAAcDJCNwAAAOBkhG4AAADAyQjdAAAAgJMRugEAAAAnI3QDAAAATkboBgAAAJyM0A0AAAA4GaEbAAAAcDJCNwAAAOBkhG4AAADAyQjdAAAAgJP52V2ApzDGSJIyMzNtrgQAAABloSD3FeTAcyF0l5LDhw9LkurWrWtzJQAAAChLhw8fVnBw8Dnb+JjiRHP8o/z8fO3du1dVqlSRj49PmXxmZmam6tatqz179igoKKhMPhPOx3X1PFxTz8R19TxcU8/kzOtqjNHhw4cVHh4uX99z99rmTncp8fX1VZ06dWz57KCgIH45eCCuq+fhmnomrqvn4Zp6Jmdd13+6w12ABykBAAAAJyN0AwAAAE5G6HZjgYGBGj16tAIDA+0uBaWI6+p5uKaeievqebimnslVrisPUgIAAABOxp1uAAAAwMkI3QAAAICTEboBAAAAJyN0AwAAAE5G6HZj77zzjurXr6/y5curbdu2Wrt2rd0loZjGjh2rK6+8UlWqVFGtWrXUvXt3JScnF2qTlZWluLg4Va9eXZUrV1bPnj2VmppqU8UoqXHjxsnHx0dDhgxxbOOauqe//vpLffv2VfXq1VWhQgU1b95c69atc+w3xmjUqFGqXbu2KlSooOjoaO3YscPGivFP8vLyNHLkSEVGRqpChQq65JJL9MILL+jUsSW4rq5t1apVuvXWWxUeHi4fHx99/vnnhfYX5/odPHhQsbGxCgoKUkhIiAYMGKAjR444rWZCt5uaN2+ehg0bptGjR2v9+vVq2bKlYmJilJaWZndpKIb4+HjFxcVp9erVWrZsmXJzc9W5c2cdPXrU0Wbo0KFatGiR5s+fr/j4eO3du1c9evSwsWoUV2Jiot599121aNGi0Hauqfs5dOiQ2rVrJ39/f3399dfaunWrXnvtNVWtWtXRZsKECZo0aZKmTp2qNWvWqFKlSoqJiVFWVpaNleNcxo8frylTpujtt9/Wtm3bNH78eE2YMEFvvfWWow3X1bUdPXpULVu21DvvvFPk/uJcv9jYWP38889atmyZFi9erFWrVunBBx90XtEGbumqq64ycXFxjtd5eXkmPDzcjB071saqcL7S0tKMJBMfH2+MMSY9Pd34+/ub+fPnO9ps27bNSDIJCQl2lYliOHz4sGnQoIFZtmyZue6668zgwYONMVxTdzV8+HDTvn37s+7Pz883YWFh5pVXXnFsS09PN4GBgeaTTz4pixJxHrp27Wruu+++Qtt69OhhYmNjjTFcV3cjySxcuNDxujjXb+vWrUaSSUxMdLT5+uuvjY+Pj/nrr7+cUid3ut1QTk6OkpKSFB0d7djm6+ur6OhoJSQk2FgZzldGRoYkqVq1apKkpKQk5ebmFrrGjRo1UkREBNfYxcXFxalr166Frp3ENXVXX375pdq0aaM77rhDtWrV0uWXX6733nvPsX/Xrl1KSUkpdF2Dg4PVtm1brqsLu+aaa7R8+XJt375dkvTTTz/phx9+UJcuXSRxXd1dca5fQkKCQkJC1KZNG0eb6Oho+fr6as2aNU6py88pR4VT/f3338rLy1NoaGih7aGhofrll19sqgrnKz8/X0OGDFG7du3UrFkzSVJKSooCAgIUEhJSqG1oaKhSUlJsqBLFMXfuXK1fv16JiYln7OOauqfffvtNU6ZM0bBhw/T0008rMTFRjz76qAICAtSvXz/HtSvq9zHX1XU99dRTyszMVKNGjVSuXDnl5eXppZdeUmxsrCRxXd1cca5fSkqKatWqVWi/n5+fqlWr5rRrTOgGbBYXF6ctW7bohx9+sLsUXIA9e/Zo8ODBWrZsmcqXL293OSgl+fn5atOmjV5++WVJ0uWXX64tW7Zo6tSp6tevn83V4Xx9+umnmj17tubMmaOmTZtq48aNGjJkiMLDw7mucBq6l7ihGjVqqFy5cmeMepCamqqwsDCbqsL5GDRokBYvXqzvv/9ederUcWwPCwtTTk6O0tPTC7XnGruupKQkpaWl6YorrpCfn5/8/PwUHx+vSZMmyc/PT6GhoVxTN1S7dm01adKk0LbGjRtr9+7dkuS4dvw+di9PPPGEnnrqKfXu3VvNmzfX3XffraFDh2rs2LGSuK7urjjXLyws7IzBJ06cOKGDBw867RoTut1QQECAWrdureXLlzu25efna/ny5YqKirKxMhSXMUaDBg3SwoULtWLFCkVGRhba37p1a/n7+xe6xsnJydq9ezfX2EV16tRJmzdv1saNGx1LmzZtFBsb61jnmrqfdu3anTGc5/bt21WvXj1JUmRkpMLCwgpd18zMTK1Zs4br6sKOHTsmX9/CEahcuXLKz8+XxHV1d8W5flFRUUpPT1dSUpKjzYoVK5Sfn6+2bds6pzCnPJ4Jp5s7d64JDAw0M2fONFu3bjUPPvigCQkJMSkpKXaXhmIYOHCgCQ4ONitXrjT79u1zLMeOHXO0eeihh0xERIRZsWKFWbdunYmKijJRUVE2Vo2SOnX0EmO4pu5o7dq1xs/Pz7z00ktmx44dZvbs2aZixYrm448/drQZN26cCQkJMV988YXZtGmT6datm4mMjDTHjx+3sXKcS79+/cxFF11kFi9ebHbt2mUWLFhgatSoYZ588klHG66razt8+LDZsGGD2bBhg5FkXn/9dbNhwwbzxx9/GGOKd/1uuukmc/nll5s1a9aYH374wTRo0MD06dPHaTUTut3YW2+9ZSIiIkxAQIC56qqrzOrVq+0uCcUkqchlxowZjjbHjx83Dz/8sKlataqpWLGiue2228y+ffvsKxoldnro5pq6p0WLFplmzZqZwMBA06hRIzNt2rRC+/Pz883IkSNNaGioCQwMNJ06dTLJyck2VYviyMzMNIMHDzYRERGmfPny5uKLLzbPPPOMyc7OdrThurq277//vsi/R/v162eMKd71O3DggOnTp4+pXLmyCQoKMv379zeHDx92Ws0+xpwy/RIAAACAUkefbgAAAMDJCN0AAACAkxG6AQAAACcjdAMAAABORugGAAAAnIzQDQAAADgZoRsAAABwMkI3AAAA4GSEbgBAieXl5emaa65Rjx49Cm3PyMhQ3bp19cwzz9hUGQC4JmakBACcl+3bt6tVq1Z67733FBsbK0m655579NNPPykxMVEBAQE2VwgAroPQDQA4b5MmTdJzzz2nn3/+WWvXrtUdd9yhxMREtWzZ0u7SAMClELoBAOfNGKOOHTuqXLly2rx5sx555BE9++yzdpcFAC6H0A0AuCC//PKLGjdurObNm2v9+vXy8/OzuyQAcDk8SAkAuCAffPCBKlasqF27dunPP/+0uxwAcEnc6QYAnLcff/xR1113nb799lu9+OKLkqTvvvtOPj4+NlcGAK6FO90AgPNy7Ngx3XvvvRo4cKBuuOEGvf/++1q7dq2mTp1qd2kA4HK40w0AOC+DBw/WV199pZ9++kkVK1aUJL377rt6/PHHtXnzZtWvX9/eAgHAhRC6AQAlFh8fr06dOmnlypVq3759oX0xMTE6ceIE3UwA4BSEbgAAAMDJ6NMNAAAAOBmhGwAAAHAyQjcAAADgZIRuAAAAwMkI3QAAAICTEboBAAAAJyN0AwAAAE5G6AYAAACcjNANAAAAOBmhGwAAAHAyQjcAAADgZIRuAAAAwMn+Hw2Cbiq1UlvxAAAAAElFTkSuQmCC\n"
          },
          "metadata": {},
          "execution_count": 73
        }
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "ljOWOVuSb4RW",
        "outputId": "290ffba5-0fc2-435a-d3b0-7c0b7f61e35f"
      },
      "outputs": [
        {
          "data": {
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfoAAAFQCAYAAABXkrzBAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xl4FFW+xvHvLwIqq8JIIkQJqCwCl0VQcM0g+4yAigg6\ngOtcF9QrMwMocxV1FNBRxHVUZFVE3KMiImIcUDEocEHZZUCCEER2WUPO/eM0GCBASLpTvbyf5+mH\n7kpV59dl2W/OqVOnzDmHiIiIxKekoAsQERGRyFHQi4iIxDEFvYiISBxT0IuIiMQxBb2IiEgcU9CL\niIjEsYgGvZm9bGY5ZjYv37KTzWyKmS02s4/NrFK+n91jZkvNbKGZtc23vKmZzTOzJWb2ZL7lZcxs\nQmibr8zs9Eh+HhERkVgT6Rb9KKDdQcsGAFOdc3WAacA9AGZ2NtANqAd0AJ4zMwtt8zxwo3OuNlDb\nzPa9543ABufcWcCTwKOR/DAiIiKxJqJB75ybAWw8aHFnYEzo+RigS+h5J2CCcy7XObcCWAqca2Yp\nQAXn3KzQemPzbZP/vd4ELg37hxAREYlhQZyjr+qcywFwzq0FqoaWVwdW5VtvdWhZdSA73/Ls0LID\ntnHO7QU2mVnlyJUuIiISW6JhMF445+C1o68iIiKSOEoF8DtzzCzZOZcT6pZfF1q+Gjgt33qpoWWH\nW55/m5/M7DigonNuQ0G/1Mw0qb+IiMQk51yRG7Il0aI3DmxpZwDXhZ73Bt7Lt7x7aCR9TeBMICvU\nvb/ZzM4NDc7rddA2vUPPr8IP7jss55weYX7cf//9gdcQrw/tW+3XWHto30bmUVwRbdGb2XggHahi\nZj8C9wNDgDfM7AZgJX6kPc65BWY2EVgA7AFuc799wtuB0cAJwCTn3OTQ8peBcWa2FPgF6B7JzyMi\nIhJrIhr0zrlrDvOj1odZfzAwuIDl3wINC1i+i9AfCiIiInKoaBiMJzEsPT096BLilvZtZGi/Ro72\nbfHt3Bn+97Rw9P/HAjNzifJZRUQk9uzYAS1bwr/+BS1a/LbczHBRPhhPREREjqJPHzj7bDjvvPC+\nbxCX14mIiEg+o0fDl1/CrFlgYZ4RRl33IiIiAZo/H1q1gsxMqF//0J+r615ERCRGbdkCXbvCE08U\nHPLhoBa9iIhIAJyDHj2gYkV48cXDr1fcFr3O0YuIiATgmWdg8WL46qvI/h616EVERErYzJnQqZP/\nt1atI6+rc/QiIiIx5OefoVs3GDHi6CEfDmrRi4iIlJC9e6FDB2jaFIYMKdw2atGLiIjEiAcfhD17\n4B//KLnfqcF4IiIiJWDyZHj5ZfjmGyhVgumrFr1IhEycOJEKFSpQsWJFKlasyAknnECrVq3YsmUL\nvXr1omrVqtSsWZOHH354/zbOOf7xj3+QlpZGSkoK1113HVu2bAFg5cqVJCUlMXr0aE4//XSqVKnC\nCy+8wDfffEOjRo2oXLkyd9xxR1AfV0SOYMUK6N0bXnsNUlJK9ncr6EUipFu3bmzdupUtW7awevVq\nzjjjDHr06MEdd9zB1q1bWbFiBZmZmYwdO5ZRo0YBMGrUKMaOHcvnn3/O8uXL2bp1K3369DngfbOy\nsli2bBmvv/46//M//8MjjzzCtGnT+O6775g4cSLTp08P4uOKyGHs3OknxRkwAC66qOR/vwbjiUSY\nc47LLruMtLQ0nnrqKU488UTmzZtHnTp1AHjxxReZMGEC06ZNo3Xr1nTt2pVbbrkFgCVLltCgQQN2\n7tzJqlWrqFWrFqtXryYl1CT43e9+x/PPP89VV10FQNeuXbn44ou58847g/mwInKIm2/2M+BNmFC0\neew1YY5IlLv33nv59ddfGT58OOvXryc3N5fTTz99/89r1KjB6tWrAfjpp5+oUaPGAT/Lzc0lJydn\n/7KqVavuf37iiSeSnJx8wOtt27ZF8uOIyDEYORJmzICsrPDfrKaw1HUvEkETJkzg9ddf56233uK4\n447jd7/7HaVLl2blypX711m5ciXVq1cHoFq1aof8rHTp0geEuYjEhtmzoX9/ePttqFAhuDoU9CIR\nMmfOHO68807effddKleuDEBSUhLdunVj4MCBbNu2jZUrVzJs2DB69uwJQI8ePRg2bBgrVqxg27Zt\nDBw4kO7du5OU5P9X1eknkdiwYYM/L//ss1CvXrC1qOteJEIyMjLYtGkTF154Ic45zIyLLrqI8ePH\n06dPH2rVqsWJJ57In//8Z66//noAbrjhBtasWcPFF1/Mrl27aN++PU899dT+97SD+v6O9lpESt7e\nvXDNNXD55X4GvKBpMJ4AkJaWRqVKlUhKSqJ06dJkZWWxceNGrr76alauXElaWhoTJ06kUqVKQZcq\nIhLV/vd/Yfp0mDo1PNfLa2Y8CYukpCQyMzOZM2cOWVlZAAwZMoTWrVuzePFiWrVqxeDBgwOuUkQk\numVkwOjR8PrrJTspzpEo6AXw537z8vIOWPbee+/Ru3dvAHr37s27774bRGkiIjFh6VK46SZ44w2I\npvGzCnoBfNdQmzZtaN68OSNGjAAgJydn/2jvlJQU1q1bF2SJIiJR69df4Yor4IEHoEWLoKs5UJR0\nLEjQvvjiC0499VR+/vln2rZtS506dTTQS0SkEJyDG26AZs0gNNdVVFHQCwCnnnoqAKeccgpdunQh\nKyuL5OTk/a36tWvXHjBRyz4Kf4lFGpgr4fT44/DDD35inGj8SlTXvbB9+/b9s6n9+uuvTJkyhYYN\nG9KpUydGjx4NwJgxY+jcuXOB2zvnYuZx//33B16Dag32IRJOn37qg/7tt+GEE4KupmBq0Qs5OTlc\nfvnlmBm5ublce+21tG3blmbNmtGtWzdGjhxJjRo1mDhxYtCliohEjZUr4dprYfx4yDerddRR0As1\na9Zk7ty5hyyvXLkyU6dODaAiEZHotmOHH3z3t79Bq1ZBV3Nk6rqXhJKenh50CYWmWkWik3N+0F3t\n2tC3b9DVHJ1mxpNiCc3YFHQZIoWmY1aKa/hwGDUKvvgCypWL/O/TbWpFRERKyGefweDB8NVXJRPy\n4aCuexERkUJYudLfrObVV6FmzaCrKTwFvYiIyFFs3+7vRve3v8GllwZdzbHROXopFp3vlFijY1aO\nlXPQs6d/Pm5cyU+Ko3P0IiIiEfT447Bwob/1bDTOfHc0CnoREZHD+PhjeOIJmDkTypYNupqiUdCL\niIgUYNky6NUL3nwzume+OxoNxhMRETnIli3QqRM8+CBcdFHQ1RSPBuNJsWhgk8QaHbNyNHl5fnrb\nU0+F558PuhoNxhMREQmr+++HX36BeLmPl4JeREQk5PXX/SV0WVlQpkzQ1YSHgl5ERASYPRv69IFP\nPoGqVYOuJnw0GE9ERBJeTo6f+e5f/4LGjYOuJrwU9CIiktB27fKD7667Dq68Muhqwk+j7qVYNIJZ\nYo2OWcnPObjxRti0yV8vnxSFzV+NuhcRESmiYcP8ufkZM6Iz5MNBQS8iIglp0iT45z/99Lblywdd\nTeQo6EVEJOEsWODPyb/7bmxPb1sYgXVUmNndZvadmc0zs1fNrIyZnWxmU8xssZl9bGaV8q1/j5kt\nNbOFZtY23/KmofdYYmZPBvNpYl9eXh5NmjShU6dOADzwwAOkpqbStGlTmjZtyuTJkwOuUEQkPH75\nxU9v+9hjcP75QVcTeYEEvZlVA+4Amjrn/gvfs9ADGABMdc7VAaYB94TWPxvoBtQDOgDPme2/WeDz\nwI3OudpAbTNrV6IfJk4MHz6c+vXrH7Csb9++zJ49m9mzZ9O+ffuAKhMRCZ89e+Cqq/wo+969g66m\nZAQ59OA4oJyZlQJOBFYDnYExoZ+PAbqEnncCJjjncp1zK4ClwLlmlgJUcM7NCq03Nt82UkjZ2dlM\nmjSJm2666YDlGpksIvHEObj9dn8+fvDgoKspOYEEvXPuJ+Bx4Ed8wG92zk0Fkp1zOaF11gL75iaq\nDqzK9xarQ8uqA9n5lmeHlskxuPvuu3nsscf4rZPEe+aZZ2jcuDE33XQTmzdvDqg6EZHwePJJ+Ppr\nePVVOO64oKspOYEMxjOzk/Ct9xrAZuANM7sWOLgJGdYm5aBBg/Y/T09PJz09PZxvH5M+/PBDkpOT\nady4MZmZmfuX33bbbdx3332YGX//+9/p27cvL7/8coHvof0q0SwzM/OAY1sS04cf+nPyX30FFSoE\nXc2RhfuYDWTCHDPrCrRzzt0cet0TaAG0AtKdczmhbvnPnHP1zGwA4JxzQ0PrTwbuB1buWye0vDtw\niXPu1gJ+pybMKcC9997LK6+8QqlSpdixYwdbt27liiuuYOzYsfvXWblyJZdddhnz5s07ZHtNPiKx\nRsds4vnuO2jVCt57D1q2DLqaY1fcCXOCOkf/I9DCzE4IDaq7FFgAZADXhdbpDbwXep4BdA+NzK8J\nnAlkhbr3N5vZuaH36ZVvGymERx55hB9//JHly5czYcIEWrVqxdixY1m7du3+dd5++20aNGgQYJUi\nIkWzbh1cdpmfGCcWQz4cAum6d85lmdmbwBxgT+jfF4EKwEQzuwHfWu8WWn+BmU3E/zGwB7gtX/P8\ndmA0cAIwyTmn68DCoF+/fsydO5ekpCTS0tJ44YUXgi5JROSY7NwJXbrAn/4E114bdDXB0Vz3Uizq\nBpVYo2M2MTjnw33vXnjttdie3lZz3YuIHEVeHvz0EyxfHnQlUlIefND/9/7ss9gO+XBQ0ItIXNi2\nDf7zH/jhB/8Fn/+xciWcfDLUqhV0lVISXnsNRo3yl9KdeGLQ1QRPXfdSLOoGlZKyr1VeUJAvXw5b\nt0LNmj7MzzjD/7vvkZYGZcv699ExG9+++go6d4ZPP4WGDYOuJjyK23WvoJdi0ZemhFNhW+UFhXlK\nClghvgp1zMav5cvhggtg5Ejo0CHoasJHQV9ICvrI0JemHItjaZUfHOb5W+XFoWM2Pm3c6C+fu/NO\nuO22oKsJLwV9ISnoI0NfmnKwkmiVF4eO2fizeze0awdNmsATTwRdTfgp6AtJQR8Z+tJMPNHQKi8O\nHbPxxTm44QbYsAHefjs+57DX5XUiEnZHapWvWAGVKx/YEm/fvmRb5SL7PPIIzJsH//53fIZ8OCjo\nRRLQsbbKzzrrtzCPhla5CPi70L34oh9pX65c0NVEL3XdS7GoGzR6HWurPH83e3Jy/E4yomM2Pnz+\nOVx1VXxdRnc4OkdfSAr6yNCXZnCOtVWeP8wTuVWuYzb2LV4MF1/sW/StWwddTeQp6AtJQR8Z+tKM\nLLXKw0/HbGxbt85fRjdwoB+ElwgU9IWkoI8MfWkWT1Fb5bVq+eWJ2iovDh2zsWv7dn9f+TZt4KGH\ngq6m5CjoC0lBHxn60jy6orTK97XM1SoPPx2zsWnvXuja1Q+6Gzcusa7sUNAXkoI+MvSlqVZ5rNEx\nG3ucg7vugu++g8mToUyZoCsqWbqOXqQEHGurvF07tcpFwmXYMJg2DWbMSLyQDwe16KVY4qV1pFZ5\n4oiXYzZRvPEG9O0LX34Jp50WdDXBUNd9ISnoIyOWvjR1rlwgto7ZRDdjBlxxBUyZAo0bB11NcBT0\nhaSgj4xo+tJUq1wKI5qOWTm8hQshPd0PvGvbNuhqgqWgLyQFfWSU9JemWuVSXAr66PfTT3D++fDg\ng9CrV9DVBE9BX0gK+iPLy8ujWbNmpKamkpGRwcaNG7n66qtZuXIlaWlpTJw4kUqVKh2yXbi/NNUq\nl0hT0Ee3LVv8rHfdusG99wZdTXRQ0BeSgv7Ihg0bxrfffsuWLVvIyMigf//+VKlShX79+jF06FA2\nbtzIkCFDDtmuKF+aapVLkBT00Wv3bujY0d9E6bnnEuta+SNR0BdSvAZ9x44dee6550hLSyvye2Rn\nZ3P99dczcOBAnnjiCTIyMqhbty6ff/45ycnJrF27lvT0dBYtWnTItgV9aapVLtFMQR+d8vKgd2/f\noo/X+8oXla6jT3DXX389bdu2pXfv3vTr14/SpUsf83vcfffdPPbYY2zevHn/spycHJKTkwFISUlh\n3bp1h93+iSd0XbmIFM+AAb5xMHWqQj7cFPQx7qqrrqJDhw489NBDNGvWjJ49e5KUL0X79u17xO0/\n/PBDkpOTady4MZmZmYddz47Qh/b664M4+WQ4+WTo3z+dq69OV6tcokZmZuYRj20J3rBh8P77/nI6\nfXeEn4I+DpQpU4Zy5cqxa9cutm7dekDQH80XX3xBRkYGkyZNYseOHWzdupWePXuSkpKyv1W/du1a\nqlatetj3+PrrQWH4FCKRkZ6eTnp6+v7XDzzwQHDFyCEmTPC9gjNmQJUqQVcTn3SOPsZNnjyZvn37\n0qlTJ+677z7KFuPP4c8//5zHH3+cjIwM+vXrR5UqVejfv3/YB+OJBEnHbPSYNg26d4dPP4WGDYOu\nJnrpHH2Ce/jhh3njjTeoX79+WN93wIABdOvWjZEjR1KjRg0mTpwY1vcXkcQ2Z44P+TfeUMhHmlr0\nUixqHUms0TEbvGXL/LXyzzzjp7iVIytui15jn0VEpMSsXeuvwhk0SCFfUhT0IiJSIjZvhg4d4Lrr\n4M9/DrqaxKGueykWdYNKrNExG4ydO33I168PTz+tWe+OhWbGKyQFfWToS1NijY7Zkpeb6+euL10a\nxo/XhDjHSqPuRUQkajkHt9zi73HxwQcK+SAo6EVEJGLuuQfmz/fXypcpE3Q1iUlBLyIiEfHPf0JG\nBkyfDuXLB11N4lLQi4hI2I0e7QfdaWrb4CnoRUQkrN5+23fZf/YZnHZa0NWIgl5ERMJm6lQ/+G7y\nZKhbN+hqBDRhjoiIhMnMmXDNNfDmm9C0adDVyD4KehERKbb586FzZ39u/uKLg65G8lPQi4hIsSxb\n5me9e/JJ6Ngx6GrkYAp6EREpsuxsaNMG7rsPevQIuhopiIJeRESKZN06H/K3366b1EQzBb2IiByz\nTZv87Wa7doW//jXoauRIdFMbKRbdIERijY7Z4vv1V2jbFs45B4YP153oIk13ryskBX1k6EtTYo2O\n2eLZuRMuuwxSU+HllyFJ/cIRp6AvJAV9ZOhLU2KNjtmi27MHrrgCypWDV1/VnehKSnGDPrC/xcys\nkpm9YWYLzex7MzvPzE42sylmttjMPjazSvnWv8fMlobWb5tveVMzm2dmS8zsyWA+TezatWsX5513\nHk2aNKFhw4Y88MADADzwwAOkpqbStGlTmjZtyuTJkwOuVESCtHcv/OlPvpt+3DiFfCwJrEVvZqOB\nz51zo8ysFFAOuBf4xTn3qJn1B052zg0ws7OBV4HmQCowFTjLOefM7Gugj3NulplNAoY75z4u4Pep\nRX8Y27dvp2zZsuzdu5cLLriAp556io8++ogKFSrQt2/fI26r1pHEGh2zxy4vD268EVav9nejO+GE\noCtKLDHZojezisBFzrlRAM65XOfcZqAzMCa02higS+h5J2BCaL0VwFLgXDNLASo452aF1hubbxsp\npLJlywK+dZ+bm4uFRtboy1BEnIM77vCT4rzzjkI+FgXVdV8TWG9mo8xstpm9aGZlgWTnXA6Ac24t\nUDW0fnVgVb7tV4eWVQey8y3PDi2TY5CXl0eTJk1ISUmhTZs2NG/eHIBnnnmGxo0bc9NNN7F58+aA\nqxSRkuYc/OUv8M038OGH/ty8xJ6ggr4U0BR41jnXFPgVGAAc3IRUk7IEJCUlMWfOHLKzs8nKymLB\nggXcdtttLF++nLlz55KSknLULnwRiS/OwcCB/lazkydDxYpBVyRFFdRtarOBVc65b0Kv38IHfY6Z\nJTvnckLd8utCP18N5L+rcWpo2eGWF2jQoEH7n6enp5Oenl68TxFnKlasSHp6OpMnTz4g2G+++WYu\nu+yyw26n/SrRLDMzk8zMzKDLiDn/+Ic/H5+ZCSefHHQ1iSXcx2yQg/E+B252zi0xs/uBsqEfbXDO\nDT3MYLzz8F3zn/DbYLyZwJ3ALOBD4Cnn3CFDxDUYr2Dr16+ndOnSVKpUiR07dtCuXTsGDBhA06ZN\nSUlJAWDYsGHMmjWL8ePHH7K9BjZJrNExe3SPPuqvkf/8cwh9DUiAijsYL6gWPfhwftXMSgPLgeuB\n44CJZnYDsBLoBuCcW2BmE4EFwB7gtnypfTswGjgBmFRQyMvhrVmzht69e5OXl0deXh5XX301HTt2\npFevXsydO5ekpCTS0tJ44YUXgi5VRErAsGHwwgsK+XiiCXOkWNQ6klijY/bwnn0W/vlPH/Knnx50\nNbJPLLfoRUQkSrz4ou+yV8jHHwW9iEiCGznSD7777DNISwu6Ggk3Bb2ISAIbMwbuuw+mTYMzzgi6\nGokEBb2ISIIaNw7uvRc+/RRq1w66GokU3WBQRCQBvfIKDBgAU6dC3bpBVyORpBa9iEiCefVV6NfP\nh3y9ekFXI5GmFr2ISAIZPx7+9jcf8mefHXQ1UhIU9CIiCeKVV+Cvf4VPPlHIJxIFvYhIAhg3Dvr3\n9y35+vWDrkZKkoJeRCTOjRnz28A7teQTj4JeRCSOjR7tbzf76acaeJeoFPQiInFqxAj4+999yOsS\nusSly+tEROLQ88/D4MF+Wtuzzgq6GgmSgl5EJM48/TQ8/jhkZkKtWkFXI0FT0IuIxJEnnoBnnvEh\nrxvUCCjoRUTixuDB8PLL/lazp50WdDUSLRT0IiIxzjkYNAgmToR//xuqVQu6IokmCnoRkRjmnJ8I\nZ/Jk35KvWjXoiiTaKOhFRGKUc3DXXfDll350fZUqQVck0UhBLyISg/buhVtvhfnz/Yx3J50UdEUS\nrTRhToLbtWsX5513Hk2aNKFhw4Y88MADAGzcuJG2bdtSp04d2rVrx+bNmwOuVET22bMHevWCpUth\nyhSFvByZgj7BHX/88Xz22WfMmTOHuXPn8tFHH5GVlcWQIUNo3bo1ixcvplWrVgwePDjoUsMiMzMz\n6BIKTbVKQXbtgm7dYNMmmDQJKlQIuiKJdgp6oWzZsoBv3efm5mJmvPfee/Tu3RuA3r178+677wZZ\nYtjEUiCpVjnY9u3QuTMcdxy88w6ceGLQFUksOGLQm1m7I/zsqvCXI0HIy8ujSZMmpKSk0KZNG5o3\nb05OTg7JyckApKSksG7duoCrFElsW7ZAhw5+VP2ECVCmTNAVSaw4Wot+kpl9ZmbVC/jZPZEoSEpe\nUlISc+bMITs7m6ysLL7//nvM7IB1Dn4tIiVn/Xpo1QoaNPB3oyulYdRyDMw5d/gfms0BngPuA+52\nzr2Z/2fOuSaRLzE8zMwd6bOK99BDD1G2bFlGjBhBZmYmycnJrF27lt///vcsXLjwkPX1B4DEolj6\nLli9Gtq0gS5d4OGHQf/LJR4zwzlX5P/yR2vRO+fcS8ClQH8zG2VmZff9rKi/VKLH+vXr94+o37Fj\nB5988gn16tWjU6dOjB49GoAxY8bQuXPnArd3zumhR8w9YsXy5XDRRdC7NzzyiEJeiqZQHUDOuSVm\n1hL4BzDHzHpFtiwpKWvWrKF3797k5eWRl5fH1VdfTceOHWnRogXdunVj5MiR1KhRg4kTJwZdqkhC\n+e47aN/e30/+lluCrkZi2VG77t1B3fNmlg6MBE5xzsXMhR3quheRWPHVV76r/sknoUePoKuRoEW6\n6/6Bgxc45zKBc4CHi/pLJfplZ2fTqlUr6tevT8OGDXnqqaeAwk+kM3nyZOrWrUvt2rUZOnRoVNea\nlpZGo0aNaNKkCeeee24gtb755ps0aNCA4447jtmzZx92+5Lcr+GoN8h9+/TTTwPQr18/6tWrR+PG\njbnyyivZsmVLgduX9L49nClToFMnGDVKIS9hEvS5shI8J+ek8NasWePmzJnjnHNu69atrnbt2m7h\nwoWuX79+bujQoc4554YMGeL69+9/yLZ79+51Z5xxhluxYoXbvXu3a9SokVu4cGFU1uqcczVr1nQb\nNmyIWH2FqXXRokVuyZIl7ve//7379ttvC9y2pPdrcet1Ljr27SeffOL27t3rnHOuf//+bsCAAYds\nG8S+LcjEic5Vrerc9Okl/qslioXyq8j5pwlzpEApKSk0btwYgPLly1OvXj2ys7MLNZFOVlYWZ511\nFjVq1KB06dJ0796d9957LyprBf/Hbl5eXsTqO1qtq1evpk6dOpx11llHHChW0vu1uPVCdOzb1q1b\nk5Tkv+patGhBdnb2IdsGsW8P9uKL8D//41v0F15Yor9a4pyCXo5qxYoVzJ07lxYtWhRqIp3Vq1dz\n2mmn7X+dmprK6tWro7JW8Oe/9k0U9NJLL5VInflrPe+88wq1fpD7FY69Xoi+fTty5Eg6dOhwyPpB\n7lvn4KGHYOhQf5vZRo1K5NdKAtG0C3JE27Zto2vXrgwfPpzy5ctH9UQ6Ra31iy++4NRTT+Xnn3+m\nTZs21KtXjwsj3KQ6uNZoV9R6o2nfPvzww5QuXZprrrkmor//WOTl+dvMTp8OM2bAqacGXZHEI7Xo\n5bByc3Pp2rUrPXv23H8dfXJyMjk5OQCsXbuWqlWrHrJd9erV+fHHH/e/zs7Opnr1giZXDL5WgFND\n366nnHIKl19+OVlZWSVea2EEsV+h6PVC9Ozb0aNHM2nSJMaPH1/gdkHs29274dprYd48yMxUyEvk\nKOjlsG644QbOPvts7rrrrv3LCjORTvPmzVm2bBkrV65k9+7dTJgwgU6dOkVlrdu3b2fbtm0A/Prr\nr0yZMoUGDRqUeK35He68dxD7FYpeb7Ts28mTJ/PYY4+RkZHB8ccfX+B2Jb1vt26FP/4RduyAyZN1\nm1mJsOKM5IulBxp1f0xmzJjhkpKSXKNGjVzjxo1dkyZN3EcffeR++eUXd+mll7ratWu7Nm3auI0b\nNzrnnPvpp5/cH/7wh/3bf/TRR6527druzDPPdIMHD47aWpcvX75/uwYNGgRW6zvvvONSU1PdCSec\n4FJSUlz79u0PqdW5kt2vxa03GvbtpEmT3JlnnulOP/1016RJE9ekSRN36623HlKrcyW3b9eude6c\nc5y7+Wbn9uyJ2K+ROEIxR90fccKceKIJc0QkaD/8AO3awZ/+BPffryltpXAiPWGOiIiEwezZft76\nv/4VBg1r9aaEAAAWOElEQVRSyEvJ0ah7EZEImzLFt+JfeAEuvzzoaiTRqEUvIhJBo0dDr17wzjsK\neQmGWvQiIhHgnL+17IgR/vK5unWDrkgSlYJeRCTMcnOhTx/IyoIvv9Q18hIsBb2ISBht2wbdu8Oe\nPX5K2woxczNviVc6Ry8SRbKzs6lVqxabNm0C/K12a9WqdcCsbRK91q6FSy6B5GT44AOFvEQHBb1I\nFElNTeW2226jf//+AAwYMIBbbrmF008/PeDK5GgWLICWLaFLF39evnTpoCsS8TRhjkiUyc3NpVmz\nZlx//fWMGDGCuXPnctxxxwVdlhzB559Dt27w2GN+hL1IOBV3whydoxeJMqVKleLRRx+lffv2TJ06\nVSEf5caN85PgjB8Pl14adDUih1LXvUgUmjRpEtWqVWP+/PlBlyKH4Zyfxva+++CzzxTyEr0CDXoz\nSzKz2WaWEXp9splNMbPFZvaxmVXKt+49ZrbUzBaaWdt8y5ua2TwzW2JmTwbxOUTCae7cuXz66afM\nnDmTJ554Yv+tdiV67NoFPXv6O8/NnAlnnx10RSKHF3SL/i5gQb7XA4Cpzrk6wDTgHgAzOxvoBtQD\nOgDPme2fKfp54EbnXG2gtpm1K6niRSLhtttuY/jw4aSmptKvXz/+8pe/BF2S5LN+PbRpAzt3+pZ8\ncnLQFYkcWWBBb2apQEdgRL7FnYExoedjgC6h552ACc65XOfcCmApcK6ZpQAVnHOzQuuNzbeNSMx5\n6aWXqFGjBq1atQLg1ltvZdGiRUyfPj3gygRg8WJo0cKPrp84EcqWDboikaMLcjDeMOBvQKV8y5Kd\nczkAzrm1ZlY1tLw68FW+9VaHluUC2fmWZ4eWi8Skm2++mZtvvnn/66SkJL755psAK5J9pk2DHj1g\n8GC44YagqxEpvEBa9Gb2ByDHOTcXONIlA7oeTkQCN2KED/nXX1fIS+wJqkV/AdDJzDoCJwIVzGwc\nsNbMkp1zOaFu+XWh9VcDp+XbPjW07HDLCzRo0KD9z9PT00lPTy/+JxGRuLV3L/TrB++/D9OnQ+3a\nQVckiSAzM5PMzMywvV/gE+aY2SXAX5xznczsUeAX59xQM+sPnOycGxAajPcqcB6+a/4T4CznnDOz\nmcCdwCzgQ+Ap59zkAn6PJswRkULbssW34nft8ufjK1cOuiJJVMWdMCfoUfcHGwK0MbPFwKWh1zjn\nFgAT8SP0JwG35Uvt24GXgSXA0oJCXkTkWCxfDuefDzVqwEcfKeQltgXeoi8patGLSGFMn+6ns/37\n3+H224OuRiT+WvQiIoF56SXo2hXGjFHIS/zQXPcikvD27IG+fWHqVJgxA846K+iKRMJHQS8iCe2X\nX+Cqq+DEE/10tpUqHX0bkViirnsRSVjz58O550Lz5pCRoZCX+KQWvYgkpLfegltugSefhGuvDboa\nkchR0ItIQsnL87eWHTfO333unHOCrkgkshT0IpIwNm/2rfetW2HWLKha9ejbiMQ6naMXkYSwYIE/\nF5+W5kfXK+QlUSjoRSTuvfkmXHIJ3HsvPPMMlC4ddEUiJUdd9yISt/buhYED4bXX/FS2zZoFXZFI\nyVPQi0hcWr8errkGcnPhm2/glFOCrkgkGOq6F5G4k5XlR9M3aQJTpijkJbGpRS8iccM5P1/9wIHw\nwgtwxRVBVyQSPAW9iMSFHTv8jWi+/trPV1+nTtAViUQHdd2LSMxbtgxatPBh//XXCnmR/BT0IhLT\n3nkHzj8f/vu/Yfx4KF8+6IpEoou67kUkJu3ZA/fc46+R/+ADf3MaETmUgl5EYs6qVdC9O5x0Enz7\nLVSpEnRFItFLXfciElMmTfJT2XbqBO+/r5AXORq16EUkJuTmwt//Dq++6rvrL7ww6IpEYoOCXkSi\n3qpVfpa7cuVg9mxNgCNyLNR1LyJR7f33/Rz1f/iD77ZXyIscG7XoRSQq7d4N/fv7y+f2XUInIsdO\nQS8iUWfZMujRA6pX9131lSsHXZFI7FLXvYhElVdegZYtoVcv35JXyIsUj1r0IhIVtm71c9XPmgVT\np0KjRkFXJBIf1KIXkcDNmgVNm8Lxx/t7xyvkRcJHLXoRCczevTB0KDz5JDz7LFx1VdAVicQfBb2I\nBOLHH6FnTzDz09iedlrQFYnEJ3Xdi0iJe/11f218hw7w6acKeZFIUoteRErMpk3Qp48/Jz9pkg97\nEYkstehFpERkZvpBdhUr+mvjFfIiJUMtehGJqF274H//118fP2IEdOwYdEUiiUVBLyIRM3euH3B3\n1lnwf/+neepFgqCuexEJu9xcePhhaNsW+vWDt95SyIsERS16EQmrxYvhuuv8LWV12ZxI8NSiF5Gw\n2LsXhg2DCy6Aa6+FKVMU8iLRQC16ESm2Zcvg+uv985kz4cwzg61HRH6jFr2IFFleHjz9NLRoAVde\n6S+hU8iLRBe16EWkSJYuhRtv9F32X3wBdeoEXZGIFEQtehE5Jnv3whNP+HvGX3kl/PvfCnmRaKYW\nvYgU2oIFcNNNULq0zsWLxAq16EXkqHbvhgcfhIsv9hPgfPaZQl4kVqhFLyJHlJXlz8XXqAFz5uiS\nOZFYoxa9iBRo2za4+27o1AnuuQfef18hLxKLFPQicogPP4T69WHDBvjuO7jmGjALuioRKQp13YvI\nfmvXwl13+alrX34ZWrcOuiIRKS616EWEvDx4/nlo2BBq1YL58xXyIvFCLXqRBDd3LtxyC5Qq5UfT\nN2gQdEUiEk6BtOjNLNXMppnZ92Y238zuDC0/2cymmNliM/vYzCrl2+YeM1tqZgvNrG2+5U3NbJ6Z\nLTGzJ4P4PCKxaOtW+MtfoF07uPlmP/GNQl4k/gTVdZ8L9HXO1QdaArebWV1gADDVOVcHmAbcA2Bm\nZwPdgHpAB+A5s/1Dg54HbnTO1QZqm1m7kv0oIrHFOZg4EerV+22w3Y03QpJO5InEpUC67p1za4G1\noefbzGwhkAp0Bi4JrTYGyMSHfydggnMuF1hhZkuBc81sJVDBOTcrtM1YoAvwcUl9FpFYsngx9OkD\nOTkwYQJceGHQFYlIpAX+N7yZpQGNgZlAsnMuB/b/MVA1tFp1YFW+zVaHllUHsvMtzw4tE5F8tm3z\n18JfcAF07AizZyvkRRJFoIPxzKw88CZwV6hl7w5a5eDXxTJo0KD9z9PT00lPTw/n24tEnX3d9H/9\nK6Snw7x5UK1a0FWJyJFkZmaSmZkZtvcz58KapYX/xWalgA+Aj5xzw0PLFgLpzrkcM0sBPnPO1TOz\nAYBzzg0NrTcZuB9YuW+d0PLuwCXOuVsL+H0uqM8qEoTvvoM77/Tn4Z9+Gi66KOiKRKQozAznXJGn\nrAqy634ksGBfyIdkANeFnvcG3su3vLuZlTGzmsCZQFaoe3+zmZ0bGpzXK982IglpwwZ/Hr5VK38b\n2W++UciLJLKgLq+7ALgWaGVmc8xstpm1B4YCbcxsMXApMATAObcAmAgsACYBt+Vrnt8OvAwsAZY6\n5yaX7KcRiQ65ufDss1C3rn+9cCHcfru/Pl5EEldgXfclTV33Es8+/thfE1+1Kgwf7me4E5H4UNyu\ne/2tLxLDFi70Ab90KTz2GHTurJvPiMiBAr+8TkSO3fr1cMcdcPHFfk7677+HLl0U8iJyKAW9SAzZ\nuROGDvWz2oFv0fftC2XKBFuXiEQvdd2LxIC8PHjtNbj3XjjnHPjiC6hdO+iqRCQWKOhFotwnn0D/\n/lC6NLz6qma0E5Fjo6AXiVKzZ8OAAbBiBQweDFdcoXPwInLsdI5eJMosXQo9esAf/+jD/fvv/cQ3\nCnkRKQoFvUiUyM6GP/8ZWrb094VfsgRuucV32YuIFJWCXiRgP//sbzrTqBFUruwDfuBAKF8+6MpE\nJB4o6EUCsnGjD/S6dWH7dpg/H4YM8WEvIhIuCnqRErZlCzz0EJx1FuTk+EF3zz2n28eKSGQo6EVK\nyJYt8PDDcMYZvnt+5kwYMQJq1Ai6MhGJZwp6kQjLH/CLFsGMGTBuHJx5ZtCViUgi0HX0IhGycSM8\n9RQ88wy0a+cDvk6doKsSkUSjFr1ImP38s5+q9swz4ccf4csv4ZVXFPIiEgwFvUiYrFoFd93lA33j\nRvj2W3j5ZT/oTkQkKAp6kWJatAiuv95fB1+6NHz3HTz/PKSlBV2ZiIjO0YsU2cyZ8NhjMH069OkD\ny5bpGngRiT4KepFjkJcHkybBo4/6rvq+fWHsWChXLujKREQKpqAXKYQdO/yAumHD4IQToF8/6NoV\nSun/IBGJcvqaEjmCdev8rHXPPw/Nm8Ozz0J6uu4kJyKxQ4PxRAowd64fYFenDqxZA59/Dh98AL//\nvUJeRGKLWvQiIbm5kJEBw4fDDz/A7bf7e8P/7ndBVyYiUnQKekl469b5Oef/9S9ITfXXwl9xhe4D\nLyLxQV33kpCc85fH9ewJtWv7Fvy77/pZ7K6+WiEvIvHDnHNB11AizMwlymeVw9u6FV591bfet22D\n//5vuOEGqFIl6MpERApmZjjnijw6SEEvCeHbb+Gll+D116FVK7jlFrj0UkhSn5aIRLniBr3O0Uvc\n2rzZt95HjPBzz994I3z/PVSrFnRlIiIlRy16iSt5ef5SuFGj/Aj6tm3hppugdWu13kUkNqnrvpAU\n9PFtxQo/Fe3o0VChgr8G/tpr4ZRTgq5MRKR41HUvCWvLFnjzTR/w33/vR8u/+SY0aaJJbURE9lGL\nXmLK7t0wZYo/9/7RR35gXa9e0LEjlCkTdHUiIuGnrvtCUtDHrrw8+OILGD/et9jr1oVrroFu3XRZ\nnIjEP3XdS1xyDr7+2l8O98YbcPLJ/pz7rFmQlhZ0dSIisUNBL1HDOcjK8q32N97wt4O9+mrfVX/2\n2UFXJyISmxT0Eqi9e/20s2+95R/ly/v7vL/3HvzXf2lQnYhIcSnopcTt3AlTp/q55TMy4NRT4cor\n4eOP1XIXEQk3DcaTErFuHXz4Ibz/Pnz6KTRuDF26+EfNmkFXJyISvTTqvpAU9CUrLw/mzPGXwH3w\nASxa5Gep++Mf/aVwuse7iEjhKOgLSUEfeevX+y75yZP946STfKh37AgXX6zr3EVEikJBX0gK+vDb\ntQu++go++cSPjF+yxAd6+/bQoQPUqhV0hSIisU9BX0gK+uLLzfXd8Z9+CtOm+ZCvV893ybdtCy1a\nqNUuIhJuCvpCUtAfu9xcmD0bMjP9HeG++AJSU/193Fu1gksu8d3zIiISOQr6QlLQH93WrTBzJsyY\n4UM9K8uPiL/kEv+4+GLdDU5EpKQp6AtJQX+gvDx/Tn3mTP/46itYtgzOOQcuvNA/Wrb0U8+KiEhw\nFPSFlMhB7xz8+CN8842fK37WLPj2W9/t3rKlP7fesiU0agTHHx90tSIikp+CvpASJehzc31L/f/+\nzw+cmz3b/1umDDRrBs2b+3+bNYOqVYOuVkREjkZBX0jxFvT7WukLFsD338N338G8eX5imtRUaNgQ\nmjb1jyZNICUl6IpFRKQoFPSAmbUHngSSgJedc0MLWCcmg/7XX+GHH2DxYv9YtOi3fytW9HPD16/v\nH40a+X/LlQu6ahERCZeED3ozSwKWAJcCPwGzgO7OuUUHrReVQZ+XB2vWwH/+AytW+H//8x8/MG7Z\nMti0yY98r1PnwEfdutExUC4zM5P09PSgy4hL2reRof0aOdq3kVHcoI+Hu9edCyx1zq0EMLMJQGdg\n0RG3KgG//gpr1/og/+mn3/5dteq3x5o1ULmyD/O0NP/v+edDr15w5plQrRokJQX9SQ5P/2NHjvZt\nZGi/Ro72bXSKh6CvDqzK9zobH/7F5hzs3g3btvlrzLduhc2bf3ts2gQbNsAvv/jHhg3w88/+Tm3r\n1vnWenIyVK/ub8VarZr/t2FDfx79tNP8z044IRzVioiIHCoegr7QOnb04ZuXB3v3wp49Bz527YId\nO/z90nfuhO3bfWu6fPnfHiedBJUq/fZv5co+sBs1gipV/F3ZkpP9iPZy5cCK3NkiIiJSfPFwjr4F\nMMg51z70egDgDh6QZ2ax/UFFRCRhJfpgvOOAxfjBeGuALKCHc25hoIWJiIhEgZjvunfO7TWzPsAU\nfru8TiEvIiJCHLToRURE5PCi+MKt8DGz9ma2yMyWmFn/oOuJVWaWambTzOx7M5tvZneGlp9sZlPM\nbLGZfWxmlYKuNRaZWZKZzTazjNBr7dcwMLNKZvaGmS0MHbvnad8Wn5ndbWbfmdk8M3vVzMpovxaN\nmb1sZjlmNi/fssPuSzO7x8yWho7ptkd7/7gP+tCEOs8A7YD6QA8zqxtsVTErF+jrnKsPtARuD+3L\nAcBU51wdYBpwT4A1xrK7gAX5Xmu/hsdwYJJzrh7QCD/HhvZtMZhZNeAOoKlz7r/wp4F7oP1aVKPw\nGZVfgfvSzM4GugH1gA7Ac2ZHvr4r7oOefBPqOOf2APsm1JFj5Jxb65ybG3q+DVgIpOL355jQamOA\nLsFUGLvMLBXoCIzIt1j7tZjMrCJwkXNuFIBzLtc5txnt23A4DihnZqWAE4HVaL8WiXNuBrDxoMWH\n25edgAmhY3kFsJSjzB2TCEFf0IQ61QOqJW6YWRrQGJgJJDvncsD/MQDovnjHbhjwNyD/oBnt1+Kr\nCaw3s1Gh0yIvmllZtG+LxTn3E/A48CM+4Dc756ai/RpOVQ+zLw/OtNUcJdMSIeglzMysPPAmcFeo\nZX/wiE6N8DwGZvYHICfUW3KkLjjt12NXCmgKPOucawr8iu8S1TFbDGZ2Er7FWQOohm/ZX4v2ayQV\neV8mQtCvBk7P9zo1tEyKINRN9yYwzjn3Xmhxjpklh36eAqwLqr4YdQHQycyWA68BrcxsHLBW+7XY\nsoFVzrlvQq/fwge/jtniaQ0sd85tcM7tBd4Bzkf7NZwOty9XA6flW++omZYIQT8LONPMaphZGaA7\nkBFwTbFsJLDAOTc837IM4LrQ897AewdvJIfnnLvXOXe6c64W/vic5pzrCbyP9muxhLo+V5lZ7dCi\nS4Hv0TFbXD8CLczshNBAsEvxA0m1X4vOOLBH73D7MgPoHrrKoSZwJn6iuMO/cSJcRx+6X/1wfptQ\nZ0jAJcUkM7sA+DcwH9+N5IB78QfZRPxfmSuBbs65TUHVGcvM7BLgL865TmZWGe3XYjOzRvhBjqWB\n5cD1+IFk2rfFYGb34/8w3QPMAW4CKqD9eszMbDyQDlQBcoD7gXeBNyhgX5rZPcCN+H1/l3NuyhHf\nPxGCXkREJFElQte9iIhIwlLQi4iIxDEFvYiISBxT0IuIiMQxBb2IiEgcU9CLiIjEMQW9iBRJ6LbF\ny0PToe67reZyMzv9aNuKSMlR0ItIkTjnsoHngKGhRUOAfznnfgyuKhE5mCbMEZEiC9374Bv8/bRv\nAhqH5j4XkShRKugCRCR2OedyzawfMBlorZAXiT7quheR4uoI/AQ0DLoQETmUgl5EiszMGuPvXNYC\n6LvvtpoiEj0U9CJSHM/h756VDTwKPB5wPSJyEAW9iBSJmd0MrHTOTQsteh6oa2YXBViWiBxEo+5F\nRETimFr0IiIicUxBLyIiEscU9CIiInFMQS8iIhLHFPQiIiJxTEEvIiISxxT0IiIicUxBLyIiEsf+\nH51ua+eImT++AAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<matplotlib.figure.Figure at 0x10c212cf8>"
            ]
          },
          "execution_count": 5,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfoAAAFQCAYAAABXkrzBAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nH51ua+eImT++AAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<matplotlib.figure.Figure at 0x10c212cf8>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "dKVTl7WNb4RW"
      },
      "source": [
        "## Exercise 4\n",
        "\n",
        "** Use plt.subplots(nrows=1, ncols=2) to create the plot below.**"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "fig,axes=plt.subplots(nrows=1, ncols=2)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 435
        },
        "id": "vlCdRQk6knUx",
        "outputId": "ba50da60-b87b-4071-9afb-ea8c109eebd7"
      },
      "execution_count": 76,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 2 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "BsvehqI-b4RX",
        "outputId": "a76ff236-092d-4fe1-8696-78e4ba1992c5"
      },
      "outputs": [
        {
          "data": {
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXkAAAEACAYAAABWLgY0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nktQwS16SGvZ/GNp0aN6HtcEAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<matplotlib.figure.Figure at 0x114be5e48>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "4LRI9kQTb4RX"
      },
      "source": [
        "** Now plot (x,y) and (x,z) on the axes. Play around with the linewidth and style**"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "axes[0].plot(x,y,'b--',linewidth=2.00)\n",
        "axes[1].plot(x,z,color=\"red\",linewidth=2.00)\n",
        "fig"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 430
        },
        "id": "OW5IL3mdn14m",
        "outputId": "0fd76b13-75b1-4b7e-92e7-ece25690d060"
      },
      "execution_count": 77,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 2 Axes>"
            ],
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAAi0AAAGdCAYAAADey0OaAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAABa1UlEQVR4nO3deVyU1f4H8M8AMqKyiAqIoqGZu2YuRKnplQuSWaa3RcmrhZqKu6VRpmkLbpWZ2+1XqfemWXZd0tRCUcxEUpNc46qZaAKmxoyirHN+f5yYYRQXhJkzz8zn/XrN655nnsPwmUvz+J3nOc85OiGEABEREZGDc1MdgIiIiOhOsGghIiIiTWDRQkRERJrAooWIiIg0gUULERERaQKLFiIiItIEFi1ERESkCSxaiIiISBM8VAe4GyaTCefOnYO3tzd0Op3qOEQuSQiBy5cvIzg4GG5u2vj+w2MHkVoVPW5osmg5d+4cQkJCVMcgIgBnzpxB/fr1Vce4Izx2EDmGuz1uaLJo8fb2BiDftI+Pj+I0RK7JaDQiJCTE/HnUAh47iNSq6HFDk0VLyWldHx8fHniIFNPSZRYeO4gcw90eN7RxIZqIiIhcHosWIiIi0gQWLUR0Szt37kTv3r0RHBwMnU6HdevWWe0XQmDq1KmoW7cuvLy8EBERgePHj1v1uXTpEmJiYuDj4wM/Pz/ExsbiypUrVn0OHjyILl26oGrVqggJCcHs2bNvyLJ69Wo0a9YMVatWRevWrbFp06ZKf79E5LhYtBDRLeXm5qJt27ZYuHBhmfvnzZuH+fPnY8mSJUhNTUX16tURFRWFvLw8c5+YmBgcOXIEiYmJ2LhxI3bu3Ilhw4aZ9xuNRkRGRqJhw4bYv38/5syZgzfeeAMfffSRuc/u3bvRv39/xMbG4sCBA+jTpw/69OmDw4cP2+7NE5FjERpkMBgEAGEwGFRHIXIpAMTatWuFEJbPYWBgoJgzZ465T05OjtDr9eLzzz8XQghx9OhRAUDs3bvX3Gfz5s1Cp9OJ33//XQghxKJFi0TNmjVFfn6+uc/kyZNF06ZNzdtPP/206NWrl1WesLAw8eKLL95xfh47iNSq6GeQZ1qIqEKys7MRERFh3vb19UVYWBhSUlIAACkpKfDz80OHDh3MfSIiIuDm5obU1FRzn65du8LT09PcJyoqCunp6fjzzz/NfUr/npI+Jb+HiJxfuYqWhIQEdOzYEd7e3ggICECfPn2Qnp5u1ScvLw9xcXGoVasWatSogX79+iE7O9uqT0ZGBnr16oVq1aohICAAL7/8MoqKiir+bohIicDAwBu2s7KyAABZWVkICAiw2u/h4QF/f3+rPmW9Rsm+W/Up2V+W/Px8GI1GqwcRaVe5ipbk5GTExcVhz549SExMRGFhISIjI5Gbm2vuM378eGzYsAGrV69GcnIyzp07h759+5r3FxcXo1evXigoKMDu3buxfPlyLFu2DFOnTq28d0VEBPlFy9fX1/zgbLhE2lauomXLli0YPHgwWrZsibZt22LZsmXIyMjA/v37AQAGgwGffPIJ3nvvPfztb39D+/btsXTpUuzevRt79uwBAHz33Xc4evQoPvvsM9x///2Ijo7Gm2++iYULF6KgoKDy3yER2dz1Z1Ozs7MRFBQEAAgKCsL58+et9hcVFeHSpUtWfcp6jZJ9t+pTsr8s8fHxMBgM5seZM2fu4t0RkaOo0JgWg8EAAPD39wcA7N+/H4WFhVbXnZs1a4YGDRpYXd9u3bq11WneqKgoGI1GHDlypMzfw1O8RI4rMDAQ27ZtM28bjUakpqYiPDwcABAeHo6cnBzzlxsASEpKgslkQlhYmLnPzp07UVhYaO6TmJiIpk2bombNmuY+pX9PSZ+S31MWvV5vnv2Ws+ASad9dFy0mkwnjxo3Dww8/jFatWgGQ15w9PT3h5+dn1ff669u3u3Z9PZ7iJVLnypUrSEtLQ1paGgDg1KlTSEtLM5+1GDFiBN566y18/fXXOHToEP75z38iODgYffr0AQA0b94cPXv2xNChQ/Hjjz/ihx9+wKhRo/Dss88iODgYADBgwAB4enoiNjYWR44cwRdffIEPPvgAEyZMMOcYO3YstmzZgnfffRe//PIL3njjDezbtw+jRo2y6/8fRKTOXa89FBcXh8OHD2PXrl2VmadM8fHxVgevkgWXiMj29u3bh+7du5u3Sz6LAwYMAACMGzcOxcXFGDZsGHJyctC5c2ds2bIFVatWNf/MihUrMGrUKPTo0QNubm7o168f5s+fb97v6+uL7777DnFxcWjfvj1q166NqVOnWs3l8tBDD2HlypWYMmUKXn31VTRp0gTr1q0zf2kiIkXy8oCcHOAWl2ory10VLaNGjTJPEFV6aemgoCAUFBQgJyfH6mzL9de3f/zxR6vXu/7a9fX0ej30ev3dRCWiCurWrRuEEDc8bzQasXLlSuh0OsyYMQMzZsy46Wv4+/tj5cqVt/w9bdq0wffff3/LPk899RSeeuqpOwtORPbx3XdAnz5AWBgwdSoQHW2zX1Wuy0NCCIwaNQpr165FUlISQkNDrfa3b98eVapUsbrunJ6ejoyMDKvr24cOHbIamJeYmAgfHx+0aNGiIu+FiCpg3TpgyRLAZFKdhIg0Zf16QAhgzx6guNimv6pcZ1ri4uKwcuVKrF+/Ht7e3uYxKL6+vvDy8oKvry9iY2MxYcIE+Pv7w8fHB6NHj0Z4eDgefPBBAEBkZCRatGiBgQMHYvbs2cjKysKUKVMQFxfHsylEihiNwMiRQGYmsHQpkJgIcMwqEd1WcTGwYYNsV6sG9Ohh019XrqJl8eLFAOTp4tKWLl2KwYMHAwDef/998zXr/Px8REVFYdGiRea+7u7u2LhxI0aMGIHw8HBUr14dgwYNuuWpZSKyrWnTZMECAAEBgLe32jxEpBGpqcAff8h2ZCTg5WXTX1euoqWs69rXq1q1KhYuXHjTxdUAoGHDhlydlchBpKUBJWNivbxkW6dTGomItOLrry3tJ56w+a/j2kNELsxkkpeFSsaxTJkCXDdUjYjo5kqKFjc3oFcvm/86Fi1ELuzTT4GS9QabNgUmTlSbh4g05Phx4Ngx2X7oIaBOHZv/ShYtRC7qwgVg8mTL9qJFAMfCE9Eds/OlIYBFC5HLeuUV4NIl2R4wAPjb39TmISKNWb/e0n78cbv8ShYtRC5o927gk09k28cHmDtXbR4i0pg//gB++EG2mzUD7rvPLr+WRQuRC2rWDBg+XN4l9PbbQN26qhMRkaZs3GgZwW+nS0NABdYeIiLt8vcHFi8Ghg0D2rRRnYaINKf0paG/Fke1BxYtRC6sXTvVCYhIc65elesNAXKRxE6d7PareXmIyIXk5KhOQESal5gIXLsm2717yzla7IRFC5GLSEwEGjYEPvwQKCpSnYaINGvdOkvbjuNZABYtRC4hL0/OfGs0AmPGWF+OJiK6Y0VFlgUSq1e3+QKJ12PRQuQC5swBTpyQ7c6dgSefVJuHiDTqhx+AixdlOzoaqFrVrr+eRQuRkzt5Ut7WDADu7nLmWztegiYiZ1L60pAd7xoqwUMXkRMTQl4Oys+X2+PHA61bq81ERBolhKVo8fAAHn3U7hFYtBA5sbVrgU2bZLtePWDaNLV5iEjDDh4EfvtNtrt1A2rWtHsEFi1ETurKFWDsWMv2Bx8ANWqoy0NEGqf40hDAooXIac2YAZw9K9tRUUDfvmrzEJHGrV1radv5VucSLFqInNC1a8AXX8i2Xg8sWCDXGSIiuiunTgE//yzbHTsC9esricFp/ImckJeXvPw8bRpQuzZw772qExGRppU+y6JwzgQWLUROytcXmDdPdQoicgqlx7MoLFp4eYiIiIhu7vx5YNcu2W7WTD4UYdFC5EQ++QQ4c0Z1CiJyKl9/LedoAZRPp82ihchJ/PgjMHQo0Lw5sHCh6jRE5DQcZDwLwKKFyCkUFwMjRsgvQ7m5lhlwiYgqxGgEtm6V7fr1gQ4dlMZh0ULkBBYvBn76SbZbt5ZT9xMRVdimTUBBgWw/+aTyuRNYtBBpXFYW8Nprlu1Fi+SyIEREFbZmjaXtADNUsmgh0riXXpJncAHg+eeBzp3V5iEiJ3HtmmXxstq1HeLgwqKFSMO2bwdWrJDtmjWBWbPU5iEiJ5KYKAfJAcDjjzvEKVwWLUQaVVAAjBxp2Z41C6hTR10eInIype8acoBLQwCLFiLNeu894JdfZDssDIiNVZuHiJxIYaGcnwWQy8P36KE2z19YtBBpVPPm8g5ENzd595AbP81EVFl27AAuXZLtxx4DqlZVGqdEuQ9zO3fuRO/evREcHAydTod1pdcjAKDT6cp8zJkzx9znnnvuuWH/zJkzK/xmiFzJE08Ax47Jwf3t2qlOQ0ROxcHuGipR7qIlNzcXbdu2xcKbTLmZmZlp9fj000+h0+nQr18/q34zZsyw6jd69Oi7ewdELqxGDVm8EBFVmuJiy3iWqlWB6Gi1eUop91Dg6OhoRN/iDQQFBVltr1+/Ht27d0ejRo2snvf29r6hLxHdWnEx4O6uOgURObXdu4HsbNnu2VN+O3IQNr0Knp2djW+++QaxZYwQnDlzJmrVqoV27dphzpw5KCoqsmUUIqcwdaq88/DUKdVJiMhp/fe/lrYDXRoC7uJMS3ksX74c3t7e6Hvdmx4zZgweeOAB+Pv7Y/fu3YiPj0dmZibee++9Ml8nPz8f+aUWUzGWzKRF5EJ++QWYM0cO6t+5E8jIAHx8VKciIqcihGU8S5UqQO/eavNcx6ZFy6effoqYmBhUvW7U8YQJE8ztNm3awNPTEy+++CISEhKg1+tveJ2EhARMnz7dllGJHJoQQFycLFgAYNQoFixEZAN79wJnzsj23/4G+PkpjXM9m10e+v7775Geno4hQ4bctm9YWBiKiorw22+/lbk/Pj4eBoPB/DhT8n8okYv4/HMgKUm277kHePVVpXGIyFmVvjT0j3+oy3ETNjvT8sknn6B9+/Zo27btbfumpaXBzc0NAQEBZe7X6/VlnoEhcgUGAzBxomX7ww+BatXU5SEiJyUE8NVXsu3uDvTpozROWcpdtFy5cgUnTpwwb586dQppaWnw9/dHgwYNAMgxJ6tXr8a77757w8+npKQgNTUV3bt3h7e3N1JSUjB+/Hg899xzqFmzZgXeCpFzmjpVruQMyNubH3tMbR4iclI//wz8+qtsd+smF0l0MOUuWvbt24fu3bubt0vGpwwaNAjLli0DAKxatQpCCPTv3/+Gn9fr9Vi1ahXeeOMN5OfnIzQ0FOPHj7ca50JE0oEDwIIFsu3lBXzwgdo8ROTESs6yAMB1c6s5Cp0QQqgOUV5GoxG+vr4wGAzw4WhEclImExAeDvz4o9xOSABeeUVtptK0+DnUYmYiuxACaNFC3qao0wHnzgE2mEutop9BrlZC5KC+/dZSsDRvDvBkJBHZzNGjlhVYO3e2ScFSGVi0EDmo6GhgwwYgNBRYtAjw9FSdiIic1urVlvZTT6nLcRs2naeFiCrmsceAqCg5xxMRkc2UHs/iYLPglsYzLUQOjgULEdnUsWPAkSOy/fDDQL16avPcAosWIgdSWAh8840cE0dEZBelz7I44IRypbFoIXIg8+fLS0LR0cDJk6rTEJFLKD2exUFvdS7BooXIQZw9C0ybJtvffQdcuqQ2DxG5gPR04NAh2X7wQSAkRG2e22DRQuQgxo8HcnNle/hwoGNHtXmIyAVo5K6hEixaiBzAli2Wy8oBAcDbb6vNQ0Qu4ssvLW0HH88CsGghUu7aNWDUKMv23LkAl+EiIpv75RfLpaGwMOCv9QMdGYsWIsVmzbIMuu3aFXjuObV5iMhFlL409PTT6nKUA4sWIoVOnABmzpRtDw85861OpzYTEbmI0kWLBi4NASxaiJQRQl4Wys+X2+PHAy1bqs10N4qLi/H6668jNDQUXl5eaNy4Md58802UXotVCIGpU6eibt268PLyQkREBI4fP271OpcuXUJMTAx8fHzg5+eH2NhYXLlyxarPwYMH0aVLF1StWhUhISGYPXu2Xd4jkdMpfdeQRi4NASxaiJTJywN8fWU7JASYOlVtnrv1/vvvY/HixViwYAGOHTuGWbNmYfbs2fjwww/NfWbPno358+djyZIlSE1NRfXq1REVFYW8vDxzn5iYGBw5cgSJiYnYuHEjdu7ciWHDhpn3G41GREZGomHDhti/fz/mzJmDN954Ax999JFd3y+RU/jiC0tbI5eGAABCgwwGgwAgDAaD6ihEFfbtt/KhNSWfw6ioKPHCCy9Y7evbt6+IiYkRQghhMplEUFCQmDNnjnl/Tk6O0Ov14vPPPxdCCHH06FEBQOzdu9fcZ/PmzUKn04nff/9dCCHEokWLRM2aNUV+fr65z+TJk0XTpk3LnZnHDnJ5LVsKIU/4CpGRYbdfW9HPIM+0ECkWGSkfWtWpUyds27YN//vf/wAAP//8M3bt2oXo6GgAwKlTp5CVlYWIiAjzz/j6+iIsLAwpKSkAgJSUFPj5+aFDhw7mPhEREXBzc0Nqaqq5T9euXeFZarnrqKgopKen488//ywzW35+PoxGo9WDyOUdOWJZa+ihhxx+QrnSuMozEVXIhAkTUFBQgGbNmsHd3R3FxcV4++23ERMTAwDIysoCAAQGBlr9XGBgoHlfVlYWAgICrPZ7eHjA39/fqk9oaOgNr1Gyr2YZ94knJCRg+vTplfAuiZxI6blZnnlGXY67wDMtRHZkMsmlPVascJ5FEdesWYMVK1Zg5cqV+Omnn7B8+XLMnTsXy5cvVx0N8fHxMBgM5seZM2dURyJSSwhL0aLTaeauoRI800JkR8uXA2vWyMf27cDHH6tOVHFTp05FfHw8nn32WQBA69atcfr0aSQkJGDQoEEICgoCAGRnZ6Nu3brmn8vOzsb9998PAAgKCsL58+etXreoqAiXLl0y/3xQUBCys7Ot+pRsl/S5nl6vh16vr/ibJHIWhw7JSeUAoEsXIDhYbZ5y4pkWIju5eBF4+WXLtsbOyt7U1atX4eZmfShxd3eHyWQCAISGhiIoKAjbtm0z7zcajUhNTUV4eDgAIDw8HDk5Odi/f7+5T1JSEkwmE8LCwsx9du7cicLCQnOfxMRENG3atMxLQ0RUBq3eNVSikgcG2wXvACAtGjbMMlj/mWdUp6m4ks/hgAEDRL169cTGjRvFqVOnxJo1a0Tt2rXFpEmTzH1nzpwp/Pz8xPr168XBgwfFE088IUJDQ8W1a9fMfXr27CnatWsnUlNTxa5du0STJk1E//79zftzcnJEYGCgGDhwoDh8+LBYtWqVqFatmvjXv/5V7sw8dpBLMpmEaNxYHoTc3ITIyrJ7hIp+Blm0ENlBSoqlYPH2FuKvu3g1reRzePbsWTF27FjRoEEDUbVqVdGoUSPx2muvWd2abDKZxOuvvy4CAwOFXq8XPXr0EOnp6Vavd/HiRdG/f39Ro0YN4ePjI55//nlx+fJlqz4///yz6Ny5s9Dr9aJevXpi5syZd5WZxw5ySXv3Wg5EPXooiVDRz6BOCO0NBzQajfD19YXBYICPj4/qOES3VFQEdOwIpKXJ7XnzgLFjVSaqHFr8HGoxM1GleflluSIrAHz0ETB0qN0jVPQzyDEtRDa2aJGlYGnbFoiLUxqHiFyRyWS5a8jDA+jbV22eu8SihciGMjOBKVMs24sWyeMFEZFd7dkDZGTI9t//DtSqpTbPXWLRQmRDU6YAly/LdmysnHySiMjuVq2ytDV86yK/8xHZ0DvvAAUFwObNwKxZqtMQkUsqLrZcGtLrgT59lMapCBYtRDYUGAj85z/AH39o9mwsEWldcjJQMjHjo49alpfXIF4eIrKDOnVUJyAil/X555b2XzNXaxWLFqJKdu4ccOmS6hRERJDXp//7X9muXh147DG1eSqIRQtRJRICePFFoGlTYOlSeZchEZEy330H/PmnbD/xBFCtmto8FcSihagSff01sHEjcOEC8NprQG6u6kRE5NJKXxrq319djkpS7qJl586d6N27N4KDg6HT6bBu3Tqr/YMHD4ZOp7N69OzZ06rPpUuXEBMTAx8fH/j5+SE2NhZXrlyp0BshUi03FxgzxrL9/vuAt7e6PETk4nJzgfXrZbtmTSAyUm2eSlDuoiU3Nxdt27bFwoULb9qnZ8+eyMzMND8+L13pAYiJicGRI0eQmJiIjRs3YufOnRg2bFj50xM5kLfesp67SYsLqBKRE9mwwXK69x//ADw91eapBOW+5Tk6OhrR0dG37KPX6xEUFFTmvmPHjmHLli3Yu3cvOnToAAD48MMP8eijj2Lu3LkIDg4ubyQi5Y4etSzp4ekJLFgA6HRqMxGRi3OyS0OAjca07NixAwEBAWjatClGjBiBixcvmvelpKTAz8/PXLAAQEREBNzc3JCamlrm6+Xn58NoNFo9iByFEHI9oaIiuT15MnDffWozEZGL+/NPOaslAAQHA127qs1TSSq9aOnZsyf+/e9/Y9u2bZg1axaSk5MRHR2N4uJiAEBWVhYCAgKsfsbDwwP+/v7Iysoq8zUTEhLg6+trfoSEhFR2bKK7tmIFsGOHbDdqBMTHK41DRCRvcy4slO1nngHc3dXmqSSVPiPus6UmrmndujXatGmDxo0bY8eOHejRo8ddvWZ8fDwmTJhg3jYajSxcyCHk5AATJ1q2FywAvLyUxSEiklautLSd5NIQYIdbnhs1aoTatWvjxIkTAICgoCCcP3/eqk9RUREuXbp003Ewer0ePj4+Vg8iR3DkiOWyUN++wG2GexER2d7vv1tO/zZpApQajqF1Ni9azp49i4sXL6Ju3boAgPDwcOTk5GD//v3mPklJSTCZTAgLC7N1HKJK9fDDQHo6MHw4MG+e6jRERJArOgsh2wMGONVdAeW+PHTlyhXzWRMAOHXqFNLS0uDv7w9/f39Mnz4d/fr1Q1BQEE6ePIlJkybh3nvvRVRUFACgefPm6NmzJ4YOHYolS5agsLAQo0aNwrPPPss7h0iTatcGFi9WnYKI6C8rVljaAwaoy2ED5T7Tsm/fPrRr1w7t2rUDAEyYMAHt2rXD1KlT4e7ujoMHD+Lxxx/Hfffdh9jYWLRv3x7ff/899Hq9+TVWrFiBZs2aoUePHnj00UfRuXNnfPTRR5X3roiIiFzRsWPAgQOy3aGD093KWO4zLd26dYMoOe1Uhm+//fa2r+Hv74+VpQcJEWlIdjbwxhvA9OnAdTfCERGpVfrfVic7ywJw7SGicps0CViyRC6KmJSkOg0R0V+EsFwacnOTtzo7GRYtROWQnAz8+9+W7Vat1GUhIrKSkgKcOiXbf/ubnFTOybBoIbpDhYXAyJGW7YQEXh4iIgdSegDuc8+py2FDLFqI7tC8eXKNIQDo2BEYOlRpHCIii8JC4IsvZNvLC3jySbV5bIRFC9EdOHNGDr4F5JQHixc7zazYROQMvv0WKFnn7/HHASedhJVFC9EdGDsWuHpVtkeOBNq3V5uHiMjKZ59Z2k56aQhg0UJ0W5s2AWvXynZgIPDWW2rzEBFZMRqB9etlu1YtIDJSbR4bYtFCdAt5ecCoUZbtd98F/PyUxSEiutF//ysPVgDw7LOAp6faPDbEooXoFvR6OYlcnTpAt25OOVcTEWndf/5jaQ8cqC6HHZR7RlwiV6LTyWPAY48Bly871bpjROQMzpyxXtG5UyelcWyNRQvRHahZUz6IiBzKypWWFZ2fe87pv1nx8hBRGS5dUp2AiOg2hLCeojsmRl0WO2HRQnQdoxFo3VqOX8nMVJ2GiOgmDhywzHj58MNA48Zq89gBLw8RXWfaNODcOeDzz+UXmc8/V52IiKgMpQfg/vOf6nLYEc+0EJWSlgbMny/bXl7AO+8ojUNEVLbCQjmeBZC3OD/1lNo8dsKihegvJhMwYoT8XwCYMgUIDVWbiYioTN99B5w/L9uPP+4ydwqwaCH6y6efAnv2yHbTpsDEiWrzEBHdlAteGgJYtBABAC5cACZPtmwvXCgnliMicjg5OcC6dbJduzbQs6fKNHbFooUIwCuvWG5z7t8f6NFDbR4iopv68ksgP1+2BwwAqlRRm8eOWLSQy9u9G/jkE9n29pbrCxEROazlyy3tQYPU5VCARQu5vNK3NL/1FlC3rrosRES3dPy4/KYFAK1aAe3aqc1jZ5ynhVze/PlA585yXNvIkarTEBHdQukZcP/5T6eftv96PNNCLk+nA555Bti4EfBgGU9EjspkshQtbm5yrSEXw6KFiIhIC3bsADIyZDsy0iWvZbNoIZeUnAxs3qw6BRFROSxbZmk//7yyGCqxaCGXk5cHDBkCPPoo0LcvcPmy6kRERLdhNAJffSXbfn5yFlwXxKKFXM6cOcCJE7L9xx9A9epq8xAR3dZXXwHXrsl2//5A1apq8yjCooVcysmTwNtvy7a7O7BokRzPRkTk0EpfGho8WFUK5Xi4JpchBDBmjGUiyXHjgNatlUYiIrq948eB77+X7ebNgY4d1eZRiEULuYx164BNm2S7Xj1g2jSlcYiI7sz1A3BdbG6W0li0kEu4cgUYO9ayPW+enLKfiMihFRdbpu13dwcGDlSbR7FyFy07d+5E7969ERwcDJ1Oh3UlK00CKCwsxOTJk9G6dWtUr14dwcHB+Oc//4lz585ZvcY999wDnU5n9Zg5c2aF3wzRzcyYAZw5I9s9ewL9+qnNQ0R0R7ZuBX7/Xbajo4GgILV5FCt30ZKbm4u2bdti4cKFN+y7evUqfvrpJ7z++uv46aefsGbNGqSnp+PxMm7NmjFjBjIzM82P0aNH3907ILqNw4eB99+Xbb0e+PBDlz67SkRa8umnlraLzs1SWrknLY+OjkZ0dHSZ+3x9fZGYmGj13IIFC9CpUydkZGSgQYMG5ue9vb0R5OIVI9lHjRpy8shNm4D4eODee1UnIiK6A5cuycF4AFC7NvDYY0rjOAKbj2kxGAzQ6XTw8/Ozen7mzJmoVasW2rVrhzlz5qCoqOimr5Gfnw+j0Wj1ILpT99wj1xXasAGYPFl1GiKiO7RiBVBQINvPPQd4eqrN4wBsujxcXl4eJk+ejP79+8PHx8f8/JgxY/DAAw/A398fu3fvRnx8PDIzM/Hee++V+ToJCQmYPn26LaOSk9Pp+CWFiDSm9KWh2Fh1ORyITggh7vqHdTqsXbsWffr0uWFfYWEh+vXrh7Nnz2LHjh1WRcv1Pv30U7z44ou4cuUK9Hr9Dfvz8/ORXzK5BgCj0YiQkBAYDIZbvi65tqIirtpsS0ajEb6+vpr6HGoxM7moAweABx6Q7U6dgNRUtXkqSUU/gza5PFRYWIinn34ap0+fRmJi4m2DhYWFoaioCL/99luZ+/V6PXx8fKweRLfy449AkybA+vVyUjkiIk355BNL+4UX1OVwMJVetJQULMePH8fWrVtRq1at2/5MWloa3NzcEBAQUNlxyAUVFwMjRgC//Qb06QOsWaM6kfP7/fff8dxzz6FWrVrw8vJC69atsW/fPvN+IQSmTp2KunXrwsvLCxERETh+/LjVa1y6dAkxMTHw8fGBn58fYmNjceXKFas+Bw8eRJcuXVC1alWEhIRg9uzZdnl/RHaVlyfHswCAlxfw7LNq8ziQcp88v3LlCk6UrDYH4NSpU0hLS4O/vz/q1q2Lf/zjH/jpp5+wceNGFBcXIysrCwDg7+8PT09PpKSkIDU1Fd27d4e3tzdSUlIwfvx4PPfcc6hZs2blvTNyWYsXAz/9JNutW7vsYqh28+eff+KRRx5B9+7dsXnzZtSpUwfHjx+3+jzPnj0b8+fPx/LlyxEaGorXX38dUVFROHr0KKr+tfBbTEwMMjMzkZiYiMLCQjz//PMYNmwYVq5cCUCeVo6MjERERASWLFmCQ4cO4YUXXoCfnx+GDRum5L0T2cSaNUBOjmz/4x+Ar6/SOA5FlNP27dsFgBsegwYNEqdOnSpzHwCxfft2IYQQ+/fvF2FhYcLX11dUrVpVNG/eXLzzzjsiLy/vjjMYDAYBQBgMhvLGJyeXmSmEj48Q8qKQEN9/rzqR8yr5HI4bN0507tz5pv1MJpMICgoSc+bMMT+Xk5Mj9Hq9+Pzzz4UQQhw9elQAEHv37jX32bx5s9DpdOL3338XQgixaNEiUbNmTZGfn2/uM3nyZNG0adNyZ+axgxxa9+6Wg1hysuo0laqin8Fyn2np1q0bxC0GCdxqHwA88MAD2LNnT3l/LdEdeekloOSO+MGDgc6dlcZxCZs3b0Z0dDSeeuopJCcno169ehg5ciSGDh0KQJ6NzcrKQkREhPlnfH19ERYWhpSUFDz77LNISUmBn58fOnToYO4TEREBNzc3pKam4sknn0RKSgq6du0Kz1K3fUZFRWHWrFn4888/yzxTW9YgfiKHdvIksH27bDdpAnTpojaPg+HaQ+Q0tm+3XAauWRPgcAf7+O2337B48WI0adIE3377LUaMGIExY8Zg+V/rpZRcIg4MDLT6ucDAQPO+rKysG8a0eXh4wN/f36pPWa9R+ndcLyEhAb6+vuZHSEhIBd8tkY2Vvs15yBBO330dFi3kFAoKgJEjLdszZwJ16qjL40pMJhMeeOABvPPOO2jXrh2GDRuGoUOHYsmSJaqjIT4+HgaDwfw4U7IAFZEjKiqyrOjs7g78859K4zgiFi3kFN57D/jlF9nu1El+QSH7CAoKQosWLayea968OTIyMsz7ASA7O9uqT3Z2tnlfUFAQzp8/b7W/qKgIly5dsupT1muU/h3X43QJpCmbNgElCww/9pjLL45YFhYtpHnXrsmiBQDc3IAlS+T/kn2EhYUhPT3d6rn//e9/aNiwIQAgNDQUQUFB2LZtm3m/0WhEamoqwsPDAQDh4eHIycnB/v37zX2SkpJgMpkQFhZm7rNz504UFhaa+yQmJqJp06a885Ccw//9n6X915gwuk6lDgu2E94BQNc7fVqIJ58UYswY1UlcR8nnMCkpSXh4eIi3335bHD9+XKxYsUJUq1ZNfPbZZ+a+M2fOFH5+fmL9+vXi4MGD4oknnhChoaHi2rVr5j49e/YU7dq1E6mpqWLXrl2iSZMmon///ub9OTk5IjAwUAwcOFAcPnxYrFq1SlSrVk3861//KndmHjvI4Zw5I4Sbm7xjqH59IYqKVCeyiYp+Blm0kFMpLFSdwHWU/hxu2LBBtGrVSuj1etGsWTPx0UcfWfU1mUzi9ddfF4GBgUKv14sePXqI9PR0qz4XL14U/fv3FzVq1BA+Pj7i+eefF5cvX7bq8/PPP4vOnTsLvV4v6tWrJ2bOnHnXmYkcyowZltucp01TncZmKvoZrNDaQ6pw/RAi9bT4OdRiZnIBxcVA48bA6dPybqHffgMaNFCdyiYccu0hInvYtAm4fFl1CiKiCkpMlAULAPTs6bQFS2Vg0UKa9Msvcl2hZs2Ar75SnYaIqAI++sjS5pIUt8SihTRHCCAuDigslHcHHjigOhER0V06dw74+mvZrlsX6NVLbR4Hx6KFNGfVKiApSbbvuQd47TWlcYiI7t7SpXJMCwDExgJVqqjN4+BYtJCmGAzAhAmW7Q8/BKpVU5eHiOiumUyWuVl0Os6KeQdYtJCmTJ0KlCwz88QTctJIIiJN+u476wG4f03ISDfHooU048ABYMEC2fbyAj74QG0eIqIKKb0+Fwfg3hEWLaQJJhMwYoT8X0CeceGXEiLSrLNngQ0bZLtePZ42vkMsWkgTPv4YSE2V7ebNrce1EBFpzscfW76FDRkCeHiozaMRLFpIE9zcAG9v2V64EPD0VJuHiOiuFRXJogWQBzcOwL1jLFpIE4YMAY4dkwVL9+6q0xARVcDGjcDvv8v2Y48B9eurzaMhLFpIM+rVA0aOVJ2CiKiCFi+2tIcPV5dDg1i0EBER2cuJE/JWZwAIDQWiotTm0RgWLeSw5s0DRo0CcnJUJyEiqiT/+pel/eKLckwL3TEOVyaHdPYsMGUKkJsLrFkjF0i8i1XMiYgcR16enLYfkHcTvPCC2jwaxBKPHNL48bJgAeRqzixYiEjzvvwSuHhRtp96CqhTR20eDWLRQg5nyxbgq69ku04d4O231eYhIqoUixZZ2iNGqMuhYSxayKHk5clxLCXmzgVq1lSXh4ioUuzfb5khs21b4KGH1ObRKBYt5FBmzQJOnpTtLl2AgQPV5iEiqhSlz7LExclVnancWLSQwzhxAkhIkG0PDzmVAT/XRKR5ly4BK1fKtq8vMGCA2jwaxqKFHIIQ8rJQfr7cnjABaNlSbSYiokqxdKm89g0AgwcD1asrjaNlLFrIIXz7rXwAQEgI8PrravMQEVWK4mIOwK1ELFrIIfz97/Jz7esrJ5WrUUN1IiKiSrBlC/Drr7IdGQk0bao2j8ZxcjlyCO7u8gvIs88Cfn6q0xARVZIPP7S0S98aSXeFRQs5FN7eTERO43//s1z3Dg0FHn1UbR4nUO7LQzt37kTv3r0RHBwMnU6HdevWWe0XQmDq1KmoW7cuvLy8EBERgePHj1v1uXTpEmJiYuDj4wM/Pz/ExsbiypUrFXojpD0mE5CWpjoFEZGNLFxoaY8cKU8pU4WUu2jJzc1F27ZtsbD0H6OU2bNnY/78+ViyZAlSU1NRvXp1REVFIa9k5DSAmJgYHDlyBImJidi4cSN27tyJYcOG3f27IE3697+Bdu2AoUMtM1sTETmFy5ct6wx5eQHPP682j7MQFQBArF271rxtMplEUFCQmDNnjvm5nJwcodfrxeeffy6EEOLo0aMCgNi7d6+5z+bNm4VOpxO///77Hf1eg8EgAAiDwVCR+KTQxYtC1K4thLzZWYjvvlOdiMpLi59DLWYmjfrwQ8sBbsgQ1WkcRkU/g5V699CpU6eQlZWFiIgI83O+vr4ICwtDSkoKACAlJQV+fn7o0KGDuU9ERATc3NyQWjLF8XXy8/NhNBqtHqRtr74KXLgg2888I+8eIiJyCiYTsGCBZXv0aHVZnEylFi1ZWVkAgMDAQKvnAwMDzfuysrIQEBBgtd/DwwP+/v7mPtdLSEiAr6+v+RESElKZscnOUlOBjz6SbW9v4L331OYhIqpUiYlAerpsd+sGtGmjNI4z0cQ8LfHx8TAYDObHmTNnVEeiu1RUJG9tFkJuz5gBBAerzUREVKk++MDS5lmWSlWpRUtQUBAAIDs72+r57Oxs876goCCcP3/ean9RUREuXbpk7nM9vV4PHx8fqwdp0+LFwIEDst2mDactICInk54ObN4s2w0bAo8/rjaPk6nUoiU0NBRBQUHYtm2b+Tmj0YjU1FSEh4cDAMLDw5GTk4P9+/eb+yQlJcFkMiEsLKwy45CDycwEpkyxbC9eLBdGJCJyGtdPJseDXKUq9/+bV65cwYkTJ8zbp06dQlpaGvz9/dGgQQOMGzcOb731Fpo0aYLQ0FC8/vrrCA4ORp8+fQAAzZs3R8+ePTF06FAsWbIEhYWFGDVqFJ599lkE8zqBU5s4ESgZQx0bCzz0kNo8RESVKicHWLZMtqtVkwc6qlTlLlr27duH7t27m7cnTJgAABg0aBCWLVuGSZMmITc3F8OGDUNOTg46d+6MLVu2oGrVquafWbFiBUaNGoUePXrAzc0N/fr1w/z58yvh7ZCjunYNOH1atv39gZkz1eYhIqp0n34K5ObK9uDBnOLbBnRClAyJ1A6j0QhfX18YDAaOb9EQk0l+CalaFRgwQHUaqigtfg61mJk0oqgIuPdey7ezY8eAZs3UZnJAFf0M8mIb2Y2bG/DCC6pTEBHZwPr1loIlOpoFi41o4pZnIiIih/b++5b2+PHqcjg5Fi1kUxMmADt3qk5BRGRDe/cCP/wg2y1bAqVmhafKxaKFbGb9evnl45FHgJdfVp2GiMhGSp9lGTcO0OmURXF2LFrIJnJzgTFjLNullpoiInIeGRnAl1/Kdu3aQEyM2jxOjkUL2cRbb8nPMiAXQ3z6abV5iIhs4sMPgeJi2Y6LA7y81OZxcixaqNIdPQrMnSvbnp7AwoU8W0pETshotKz+qtcDI0eqzeMCWLRQpRJCftkoKpLbkycDTZqozUREZBOffGKZ5nvgQCAgQG0eF8CihSrVihXAjh2y3agREB+vNA4RkW0UFVmv5szbnO2CRQtVmpwc4KWXLNsLFvDyLhE5qa++sp5MrkULtXlcBIsWqjSvvw5kZ8t2377yc0xE5HSEAObMsWxzTge7YdFClWbECDknS/XqwLx5qtMQEdnIjh3ATz/J9gMPAN26qUzjUrj2EFWaFi2A7duBX34BQkJUpyEispGS2yMBeU2ct0faDc+0UKXS6YDmzVWnICKykUOHgE2bZLtBA+Af/1Cbx8WwaKEKMRiA/HzVKYiI7KT0WZYJE4AqVdRlcUEsWqhCxowB2rQBtm5VnYSIyMbOnAFWrpTtmjWB2Fi1eVwQx7TQXdu5E/j3v2X76aeB334DfHyURiIisp158ywzZ8bFATVqKI3jinimhe5KYaH1jNVvv82ChYic2J9/Wqbsr1oVGD1abR4XxaKF7sq8ecCRI7LdsSMwbJjSOEREtrVoEXDlimwPHswp+xVh0ULlduYMMH26bOt0wOLFgLu72kxERDZz9aplyn43N04mpxCLFiq3ceOA3FzZHjECaN9eaRwiIttauhT44w/ZfuYZubAaKcGihcpl0yZgzRrZDgiQY1mISps5cyZ0Oh3GjRtnfi4vLw9xcXGoVasWatSogX79+iG7ZM2Hv2RkZKBXr16oVq0aAgIC8PLLL6OoZNDjX3bs2IEHHngAer0e9957L5YtW2aHd0QurbDQ+jbnSZPUZSEWLXTnrl2zHnv27ruAn5+yOOSA9u7di3/9619o06aN1fPjx4/Hhg0bsHr1aiQnJ+PcuXPo27eveX9xcTF69eqFgoIC7N69G8uXL8eyZcswdepUc59Tp06hV69e6N69O9LS0jBu3DgMGTIE3377rd3eH7mgVavkrZEA0LMncP/9KtOQ0CCDwSAACIPBoDqKS9m2TQhPTyEAIbp1E8JkUp2IVLr+c3j58mXRpEkTkZiYKB555BExduxYIYQQOTk5okqVKmL16tXmnz127JgAIFJSUoQQQmzatEm4ubmJrKwsc5/FixcLHx8fkZ+fL4QQYtKkSaJly5ZWGZ555hkRFRV115mJbqm4WIgWLeRBDxBi507ViTSvop9BnmmhO/a3v8kZrB99FFi4kMttkLW4uDj06tULERERVs/v378fhYWFVs83a9YMDRo0QEpKCgAgJSUFrVu3RmBgoLlPVFQUjEYjjvx1m1pKSsoNrx0VFWV+jbLk5+fDaDRaPYju2NdfA0ePyvbDDwNduqjNQ5xcjsrnvvuAb75RnYIczapVq/DTTz9h7969N+zLysqCp6cn/K67lhgYGIisrCxzn9IFS8n+kn236mM0GnHt2jV4eXnd8LsTEhIwveRWN6LyEAJ45x3L9quvqstCZjzTQkQVcvbsWYwdOxYrVqxA1apVVcexEh8fD4PBYH6cOXNGdSTSiq1bgZIivG1bIDpabR4CwKKFbsNoBBIS5CBcorKkpaXh/PnzeOCBB+Dh4QEPDw8kJydj/vz58PDwQGBgIAoKCpCTk2P1c9nZ2QgKCgIABAUF3XA3Ucn27fr4+PiUeZYFAPR6PXx8fKweRHek9K2Rr77K6+EOgkUL3dK0afLz2rIlkJqqOg05okceeQSHDh1CWlqa+dGhQwfExMSY21WqVMG2bdvMP5Oeno6MjAyEh4cDAMLDw3Ho0CGcP3/e3CcxMRE+Pj5o0aKFuU/p1yjpU/IaRJXm+++B5GTZbtoU6NdPbR4y45gWuqm0NGD+fNnOyuKs1VQ2b29v1KtXz+q56tWro1atWmjVqhUAIDY2FhMmTIC/vz98fHwwevRohIeH48EHHwQAREZGokWLFhg4cCBmz56NrKwsTJkyBXFxcdDr9QCA4cOHY8GCBZg0aRJeeOEFJCUl4csvv8Q3HGRFle36syyc8tthsGihMplMckFEk0luT5kChIaqzUTa9f7778PNzQ39+vVDfn4+oqKisGjRIvN+d3d3bNy4ESNGjEB4eDiqV6+OQYMGYcaMGeY+oaGh+OabbzB+/Hh88MEHqF+/Pj7++GNERUWpeEvkrPbuBUrm/gkNBfr3V5uHrOiEEKIyX/Cee+7B6dOnb3h+5MiRWLhwIbp164bkktNuf3nxxRexZMmSO/4dRqMRvr6+MBgMvEZtI598AgwZIttNmwI//wz89YWXCIA2P4dazEx29vjjwIYNsr1kCfDii2rzOJmKfgYr/UzL3r17UVxcbN4+fPgw/v73v+Opp54yPzd06FCrb1DVqlWr7BhUARcuWM9UvWgRCxYicgEHDlgKlvr15WrO5FAqvWipU6eO1fbMmTPRuHFjPPLII+bnqlWrZr4jgBzPK68Aly7J9oABclI5IiKn99ZblvYrr/DbmgOy6d1DBQUF+Oyzz/DCCy9AV+p2sRUrVqB27dpo1aoV4uPjcfXq1Vu+Dme1tJ/du+WlIQDw8bFeJ4yIyGkdOmRZDbZuXSA2Vm0eKpNNB+KuW7cOOTk5GFzqFNuAAQPQsGFDBAcH4+DBg5g8eTLS09OxpuQ/ljJwVkv7KCoCRoywbL/1lvzsEhE5vVJDFjBpEuBgEyWSVOkDcUuLioqCp6cnNpRcIyxDUlISevTogRMnTqBx48Zl9snPz0d+fr5522g0IiQkhIPpKllhITB7tixWmjcHfvwR8OD9ZXQTWhzUqsXMZAeHDgElK5MHBQG//grcZMJCqhiHG4hb4vTp09i6destz6AAQFhYGADcsmjR6/XmuRrIdqpUAV57TY5jyc1lwUJELqL0WZbJk1mwODCb/bO0dOlSBAQEoFevXrfsl5aWBgCoy+sQDoPzsRCRyzh0CPjqK9kOCuItzg7OJkWLyWTC0qVLMWjQIHiU+rp+8uRJrFy5Eo8++ihq1aqFgwcPYvz48ejatSvalJyaI7srKAA8PVWnICJS4I03LO1Jk3iWxcHZ5O6hrVu3IiMjAy+88ILV856enti6dSsiIyPRrFkzTJw4Ef369bvlmBeyrbw8oF07eUY0N1d1GiIiOzpwwHLHUFAQMHy42jx0WzY50xIZGYmyxveGhITcMBsuqTVnDnD0qHz89hvwxReqExER2UnpsyyvvsqzLBrAVZ5d2K+/Au+8I9vu7nJ9ISIil7BvH/D117Jdrx4wdKjaPHRHWLS4KCGA0aPl5SEAGDcOaN1aaSQiIvt5/XVL+9VXOS+LRrBocVHr1gGbNsl2vXrAtGlK4xAR2c+uXcCWLbLdsKFldVhyeCxaXNCVK8DYsZbtefMAb29lcYiI7EcI62vh06bx9kkNYdHigmbMAM6cke2oKKBfP7V5iIjsJikJKLkhpEkTYOBAtXmoXFi0uJjDh4H335dtvR5YsAAotZYlEZHzEkKOXynxxhuc+ltjWLS4mHnz5MKIABAfD9x7r9I4RET2s369XFQNkHcePPus2jxUbiwxXczixUCzZsBnn8kJ5YiIXEJxsVxcrcTbbwNu/N6uNfyLuZgqVYCXXgL27+cdfkTkQlaulLNoAsCDDwKPPaY2D90VFi0uyt1ddQIiIjvJz7eel+WddziYT6NYtLiAgweBn39WnYKISJElS4DTp2U7MhLo3l1tHrprLFqcXHEx8MILQPv2wPjxwLVrqhMREdnR5cvAW29ZtmfOVJeFKowDcZ3ckiVy/AoAbNsmx7QQEbmMuXOBCxdk+9ln5bL2pFk80+LEsrKsB8svWsQpCYjIhWRlAe++K9seHsCbb6rNQxXGosWJvfwyYDDI9vPPA507q81DRGRX06cDubmyPXw4J6ZyAixanNSOHXIuFgCoWROYNUtpHCIi+0pPB/7v/2S7Rg3ru4dIs1i0OKGCAmDkSMv2zJlAnTrq8hAR2d0rr8g7EQA5k2ZAgNo8VClYtDih998Hjh2T7Qcf5KrrRORivv8eWLdOtuvWlbdOklNg0eJkTp+WqzgDcobqxYs5UzURuRCTCZg40bL95ptA9erq8lCl4j9nTubyZeC++2Q7Lg64/36lcYiI7OuLL4C9e2W7VStg8GClcahy8QZYJ9Oqlfy8/t//AQMGqE5DRGRH167JsSwl5s7lmiVOhkWLE/LwAEaMUJ2CiMjOPvgAyMiQ7chIICpKbR6qdLw8RERE2pedLRdCBORAvpJJ5cipsGhxAr/8Ajz8MLBvn+okRESKTJ0qB/UBwNCh8lo5OR0WLRonhBxwu3s30KkTsGGD6kRERHaWlmaZSM7bW86ES06JRYvGrVoFJCXJdsOGQI8eavMQEdmVEMC4cfJ/AWDKFCAwUGkksh0WLRpmMAATJli2588HqlVTl4eIyO7WrAGSk2W7cWNg7Fi1ecimWLRo2NSpchFTAHjiCaB3b7V5iIjs6to14KWXLNvvvgvo9erykM2xaNGoAweABQtk28tL3ulHRORS5s4FfvtNtiMigMcfVxqHbI9FiwaZTHIeFpNJbk+dKsezEBG5jIwMICFBtt3d5Tc3nU5tJrI5Fi0a9PHHQGqqbDdvbj2uhYjIJbz0krw8BACjRwMtWqjNQ3ZR6UXLG2+8AZ1OZ/Vo1qyZeX9eXh7i4uJQq1Yt1KhRA/369UN2dnZlx3Ba164Br71m2V60CPD0VJeHiMjutm4FVq+W7Tp1gGnT1OYhu7HJmZaWLVsiMzPT/Ni1a5d53/jx47FhwwasXr0aycnJOHfuHPr27WuLGE7JywvYsgXo2BGIiQG6dVOdiIjIjgoK5JmVEjNnAn5+yuKQfdlk7SEPDw8EBQXd8LzBYMAnn3yClStX4m9/+xsAYOnSpWjevDn27NmDBx980BZxnE779kBKCnD1quokRER29sEHchpwAAgL4yrOLsYmZ1qOHz+O4OBgNGrUCDExMcj4awGr/fv3o7CwEBEREea+zZo1Q4MGDZCSkmKLKE7L3V1O/EhE5DLOnrXMdqvTAQsXynWGyGVU+l87LCwMy5Ytw5YtW7B48WKcOnUKXbp0weXLl5GVlQVPT0/4XXcqLzAwEFklE46UIT8/H0aj0erhan76CSgqUp2CiEih8eOB3FzZfvFFedqZXEqlXx6Kjo42t9u0aYOwsDA0bNgQX375Jby8vO7qNRMSEjDdhdeSOHsW6NpVTva4eDHw0EOqExER2dmWLcBXX8l2nTqWFZ3Jpdj8vJqfnx/uu+8+nDhxAkFBQSgoKEBOTo5Vn+zs7DLHwJSIj4+HwWAwP86cOWPj1I6l5MvFwYPAf/6jOg0RkZ1duwaMGmXZnjsXqFlTXR5SxuZFy5UrV3Dy5EnUrVsX7du3R5UqVbBt2zbz/vT0dGRkZCA8PPymr6HX6+Hj42P1cBXffssvF0Tk4t55Bzh5Ura7dgUGDlSbh5Sp9MtDL730Enr37o2GDRvi3LlzmDZtGtzd3dG/f3/4+voiNjYWEyZMgL+/P3x8fDB69GiEh4fzzqEy5OUBcXGW7Tlz+OWCiFzMsWPArFmyXaWKvEbOmW9dVqUXLWfPnkX//v1x8eJF1KlTB507d8aePXtQp04dAMD7778PNzc39OvXD/n5+YiKisKiRYsqO4ZTmDXL8uWiSxfgn/9Um4eIyK6EkGuWFBbK7UmTOPOti9MJIYTqEOVlNBrh6+sLg8HgtJeKTpwAWrUC8vMBDw+5QGKrVqpTEVlo8XOoxcwu7ZNPgCFDZLtxY+DQITnDJmlWRT+DvMHdAQkhx5zl58vt8eNZsBCRi8nKkusLlVi0iAULsWhxRP/9rxyACwAhIXIVZyIilzJ2LFByp+nAgUBkpNI45BhYtDigEyfkjLeAnLG6Rg21eYiI7Orrr4Evv5TtWrWAd99Vm4cchk3WHqKKeeUV4NFHgVWrgD59VKchIrKjnBw5+LbE++/L+R6IwKLFYbVpIx9ERC5l0iTg3DnZjo4GnntObR5yKLw8REREjmHbNuD//k+2a9QAlizhnCxkhUWLg1ixQs7LUlCgOglR+bz77rvo2LEjvL29ERAQgD59+iA9Pd2qT15eHuLi4lCrVi3UqFED/fr1Q3Z2tlWfjIwM9OrVC9WqVUNAQABefvllFF23SuiOHTvwwAMPQK/X495778WyZcts/fbIXi5fBmJjLduzZgENGqjLQw6JRYsDuHhRDpR/5RWgXTvABRexJg374YcfEBcXhz179iAxMRGFhYWIjIxEbslqvADGjx+PDRs2YPXq1UhOTsa5c+fQt29f8/7i4mL06tULBQUF2L17N5YvX45ly5Zhaqlb506dOoVevXqhe/fuSEtLw7hx4zBkyBB8W3KrHWnb5MnA6dOy3a0bMHy40jjkoIQGGQwGAUAYDAbVUSrFsGFCyNlZhHj6adVpiO7MzT6H58+fFwBEcnKyEEKInJwcUaVKFbF69Wpzn2PHjgkAIiUlRQghxKZNm4Sbm5vIysoy91m8eLHw8fER+fn5QgghJk2aJFq2bGn1u5555hkRFRVV4cyk2LZtloNgtWpCnDihOhHZSEU/gzzTolhqquUSrre3HChPpGUGgwEA4O/vDwDYv38/CgsLERERYe7TrFkzNGjQACkpKQCAlJQUtG7dGoGBgeY+UVFRMBqNOHLkiLlP6dco6VPyGmXJz8+H0Wi0epCDMRqB55+3bCckyNlvicrAokWhoiJ5Z1/JQgozZgDBwWozEVWEyWTCuHHj8PDDD6PVX9M4Z2VlwdPTE35+flZ9AwMDkZWVZe5TumAp2V+y71Z9jEYjrl27VmaehIQE+Pr6mh8hISEVfo9UySZMADIyZLtbNzkdONFNsGhRaPFiuaYQALRty88qaV9cXBwOHz6MVatWqY4CAIiPj4fBYDA/zpw5ozoSlbZpk1xfCJB3C336KeDGf5bo5jhPiyKZmcCUKZbtxYvlwohEWjVq1Chs3LgRO3fuRP369c3PBwUFoaCgADk5OVZnW7KzsxEUFGTu8+OPP1q9XsndRaX7XH/HUXZ2Nnx8fOB1kzVp9Ho99Hp9hd8b2cCFC8ALL1i2330XCA1Vl4c0gSWtIhMnWu4SGjIECA9Xm4fobgkhMGrUKKxduxZJSUkIve4fnvbt26NKlSrYtm2b+bn09HRkZGQg/K//8MPDw3Ho0CGcP3/e3CcxMRE+Pj5o0aKFuU/p1yjpE84Pj/YIAbz4IlBShD76KDB0qNpMpA2VOy7YPrR+B0BSkmWgvL+/EBcuqE5EVH4ln8PY2Fjh6+srduzYITIzM82Pq1evmvsOHz5cNGjQQCQlJYl9+/aJ8PBwER4ebt5fVFQkWrVqJSIjI0VaWprYsmWLqFOnjoiPjzf3+fXXX0W1atXEyy+/LI4dOyYWLlwo3N3dxZYtW8qdWavHDqexbJnlIFirlhCZmaoTkZ1U9DPIokWBK1eEeOUVITw8hPj4Y9VpiO5OyefwZo+lS5ea+167dk2MHDlS1KxZU1SrVk08+eSTIvO6f6h+++03ER0dLby8vETt2rXFxIkTRWFhoVWf7du3i/vvv194enqKRo0aWf2O8mTW6rHDKZw4IUSNGpai5b//VZ2I7Kiin0GdECX3rmiH0WiEr68vDAYDfHx8VMe5aydOAI0acdwZaZMWP4dazOxUCguBLl3kXA+AHNNSMhCXXEJFP4Mc+qnQvfeqTkBEZEczZlgKlnvvBT74QG0e0hx+x7ejzEzVCYiIFNmxA3j7bdl2d5cLrtWooTQSaQ+LFjv5+mt5KejNN4G8PNVpiIjs6MIFICbGMpPmW28BnTqpzUSaxKLFDnJzgTFjZLEydSqwZYvqREREdiKEnKb/3Dm53aMHMGmS2kykWSxa7OCttyyLl0ZEAE88oTYPEZHdvPcesHGjbNeuDfz737z7gO4a/8uxsaNHgblzZdvTE1i4ENDp1GYiIrKLPXuAV16xbP/nP1xgjSqERYsNCQHExcmFEQFg8mTgvvvUZiIisouLF4Gnn7Y+APbsqTYTaR6LFhtauVIOmAfkkhrx8UrjEBHZh8kEDBwIlCxQ+dBD8i4Eogpi0WIjOTlyxfUSCxYAN1nTjYjIubzzDrB5s2zXqQN8+SVQpYraTOQUWLTYyJQpQMnab08+KdcDIyJyet9+K2+TBOQAvpUrgXr11GYip8GixQauXQMSE2W7enVO+khELuK334ABAyzzscyYIW+ZJKoknMbfBry8gJ9/BmbNAvz8gJAQ1YmIiGzs6lV5WvnSJbnduzfw6qtqM5HTYdFiI1WrAtOmqU5BRGQHQgBDhgBpaXL73ns5HwvZBP+LIiKiipk7F/j8c9muUQNYt06eZiaqZCxaKtF77wHp6apTEBHZ0aZNcg6WEv/+N9Cypbo85NQqvWhJSEhAx44d4e3tjYCAAPTp0wfp1/1L3q1bN+h0OqvH8OHDKzuKXSUnAxMnAm3aALNnq05DRGQHR48Czz5rGXg7bZoc10JkI5VetCQnJyMuLg579uxBYmIiCgsLERkZidzcXKt+Q4cORWZmpvkxW8P/0hcWAiNHynZBAeDtrTYPEZHNXbggB9teviy3+/Wz3OpMZCOVPhB3y3VLGC9btgwBAQHYv38/unbtan6+WrVqCAoKquxfr8S8efILBwB07AgMG6Y0DhGRbeXnA336AL/+Krfvvx9YvpwDb8nmbP5fmMFgAAD4+/tbPb9ixQrUrl0brVq1Qnx8PK5evXrT18jPz4fRaLR6OIozZ4Dp02VbpwMWLwbc3dVmIiKyGSGA2Fjghx/kdt26wNdfy0mpiGzMprc8m0wmjBs3Dg8//DBatWplfn7AgAFo2LAhgoODcfDgQUyePBnp6elYs2ZNma+TkJCA6SWVgYMZNw4oufI1ciTQvr3SOEREtjV1KrBihWx7eQEbNnAyKrIbnRAlI6gq34gRI7B582bs2rUL9evXv2m/pKQk9OjRAydOnEDjxo1v2J+fn4/8/HzzttFoREhICAwGA3x8fGyS/U5s2gT06iXbgYHAL7/wLj9yHUajEb6+vso/h+WhxcwO5eOPgaFDZVunA/77Xw68pXKp6GfQZmdaRo0ahY0bN2Lnzp23LFgAICwsDABuWrTo9Xro9Xqb5Lxb164Bo0dbtufOZcFCRE5s40ag9F2e8+axYCG7q/SiRQiB0aNHY+3atdixYwdCQ0Nv+zNpf82iWLdu3cqOYzMJCZYxaN26ATExSuMQEdlOSgrw9NNAcbHcHj8eGDNGbSZySZVetMTFxWHlypVYv349vL29kZWVBQDw9fWFl5cXTp48iZUrV+LRRx9FrVq1cPDgQYwfPx5du3ZFmzZtKjuOzXTrJldbP3kSWLRIniklInI6R44Ajz0mTy8Dcl6WuXPVZiKXVeljWnQ3+dd76dKlGDx4MM6cOYPnnnsOhw8fRm5uLkJCQvDkk09iypQpd3x9y1GuS+fnA7t3A927K4tApIyjfA7LQ4uZlTp1CujcGTh3Tm736AF88w3gYJfrSTscbkzL7WqgkJAQJCcnV/avVUKvZ8FCRE4qMxP4+98tBUuHDsCaNSxYSCnOBFQO+fmW2aqJiJzWH38AERHy+jcANGsGbN4M8OwUKcaipRxeeUWOZTlyRHUSIiIb+fNPIDLSMs33PfcAiYlA7dpKYxEBNp5czpmkpQHz5wMmE/DQQ3ImXH7pICKnkpMjLwn9dUcn6tUDtm0DbjNtBZG98EzLHTCZ5Gy3JpPcnjyZBQsROZmcHHmGZf9+uR0QAGzdCjRqpDQWUWksWu7A0qVymgIAaNoUmDhRbR4iokp16ZIcw7J3r9yuUwfYvl2OZSFyICxabuPCBWDSJMv2woUcPE9ETuSPP+StzCVnWOrUAZKSgBYt1OYiKgPHtNxGfLz8EgIA/fvLzzYRkVP4/Xd5huWXX+R2UJAcw8KChRwUz7Tcwu7dcn0wAPD2Bt59V20eIqJKc/Ik0KWLpWCpVw/YsYMFCzk0Fi03UVQEjBhh2X7rLUBDSyMREd3cgQPyNshTp+R2o0bArl1y0B6RA2PRchPbtgEHD8r2/ffLu4eIiDQvKQl45BHg/Hm53bIl8P33cj4WIgfHouUmoqKAnTuBNm2AJUsAD47+ISKt+89/gJ49gcuX5fZDD8kDXXCw2lxEd4j/FN9Cly7yLKobSzsi0jIh5DXuqVMtzz32GPDFF0C1aupyEZUTi5bbYMFCRJqWlwfExgIrV1qeGzFCTvHNU8ikMfwnuZS8POCzzywz3xIRadq5c3L8SknBotMBs2fLCadYsJAGsWgpZc4cYOBAeZmXiyISkabt2QN06AD8+KPcrlYNWLMGePllWbwQaRCLlr+cPAm8/bZs79vHsy1EpFFCyDMpXbsCmZnyuQYN5C3NffoojUZUUTw/CPkZHzMGyM+X2+PGAa1bK41ERFR+ly8Dw4dbj1/p2hX46is5PT+RxvFMC4B164BNm2S7Xj1g2jSlcYiIyi8tTV4OKl2wTJggV2pmwUJOwuWLlitXgLFjLdvz5skp+4mINMFkAt57DwgLA/73P/mctzfw5Zdy7ZEqVdTmI6pELn956M03gTNnZDsqCujXT20eIqI7lpEhb2feutXyXPv2cv6Vxo3V5SKyEZc+03LkiPyCAgB6PbBgAQfVE5EGCAF8+qkcfFe6YHnpJeCHH1iwkNNy2TMtQsj1hIqK5HZ8PHDvvWozERHd1qlTwLBh1sVK/frA0qVARIS6XER24LJnWvLygGbNZLtxY2DyZLV5iIhuqaAAeOcducBh6YJl0CDg0CEWLOQSXPZMi5cX8K9/Ac8/DxQWAlWrqk5ERHQTW7bIuRjS0y3PhYTIg1h0tLJYRPbmskVLiQcfVJ2AiOgmjh4FJk0CvvnG8pybGzB6tLyLgLc6kotxuaJFCA62JSIHl5EBzJghx6mUnp47PFzOdtuunbpsRAq51JiW4mJ52XfhQtkmInIoZ8/KsyhNmgCffGIpWOrVk6u5/vADCxZyaS51pmXJEiApST727AH+8x/ViYiIAPzyi5wIbvlyOciuhI+PvLVxzBi54CGRi3OZoiUrC3jtNcv2iy+qy0JEBJMJ+O47OUFU6TErgCxQxo6V8674+6vJR+SAXKZoefllwGCQ7cGDgc6dlcYhIld19qw8o/Lpp8Cvv1rv8/EBRo2SdwpxvSCiG7hE0bJ9u7wcDAA1awKzZ6vNQ0Qu5sIFYO1a4PPPgR075B0BpYWEyDMrQ4YAvr5KIhJpgdKBuAsXLsQ999yDqlWrIiwsDD/++GOl/46CAjnzbYmZM/kFhkjL7HHcqDAh5IRvc+cC3boBgYFyFtvt260Llr//XRYzv/4KTJzIgoXoNpSdafniiy8wYcIELFmyBGFhYZg3bx6ioqKQnp6OgICASvs9770nx7gBQKdO8osMEWmTvY4b5XbtGvDzz0BqqrzDJzkZOH++7L6NGwPPPSevU99zjz1TEmmeTojrz1PaR1hYGDp27IgFCxYAAEwmE0JCQjB69Gi88sort/xZo9EIX19fGAwG+Pj43LTf6dNA8+byeOLmBuzbx7sFiSrLnX4OK1NFjhtABTLn5wOXLgF//AGcOyeXhv/1V+B//5MTwP3vf9bzqVzvvvuAJ58E/vEPuQozJ4siF1XR44aSMy0FBQXYv38/4uPjzc+5ubkhIiICKSkpN/TPz89Hfn6+edtoNN7R73njDVmwAHJsGwsWIu0q73EDuMtjx+zZ8hRtYaFcUfXaNevbkO+Ejw/QpQsQGQlERcmihYUKUYUpKVouXLiA4uJiBAYGWj0fGBiIX0qu5ZSSkJCA6dOnl/v3zJsnZ7les0ZOLklE2lXe4wZwl8eOq1eB7Ow77+/pKRcxbNtWXoMOC5Ntd/fy/V4iui1N3D0UHx+PCRMmmLeNRiNCQkJu+3O+vsD8+XJh1Bo1bJmQiBzRXR07/P3lWBMPD/moWlV++/Hzk6P4g4KABg2Ahg3lGZQGDWQ/IrI5JZ+02rVrw93dHdnXfZvJzs5GUFDQDf31ej30ev1d/z4WLETaV97jBnCXx44xY+SDiByOkluePT090b59e2zbts38nMlkwrZt2xAeHq4iEhE5OB43iEjZOc0JEyZg0KBB6NChAzp16oR58+YhNzcXzz//vKpIROTgeNwgcm3KipZnnnkGf/zxB6ZOnYqsrCzcf//92LJlyw2D7IiISvC4QeTalM3TUhEq5ocgImta/BxqMTORM6noZ1DpNP5EREREd4pFCxEREWkCixYiIiLSBBYtREREpAksWoiIiEgTWLQQERGRJrBoISIiIk1g0UJERESawKKFiIiINEGT66mXTOJrNBoVJyFyXSWfPy1Nqs1jB5FaFT1uaLJouXz5MgAgJCREcRIiunz5Mnx9fVXHuCM8dhA5hrs9bmhy7SGTyYRz587B29sbOp3upv2MRiNCQkJw5swZp1hnhO/HsTnT+7mT9yKEwOXLlxEcHAw3N21caeaxQ/vvx5neC+B676eixw1Nnmlxc3ND/fr177i/j4+PU/zHUILvx7E50/u53XvRyhmWEjx2OM/7cab3ArjW+6nIcUMbX4+IiIjI5bFoISIiIk1w6qJFr9dj2rRp0Ov1qqNUCr4fx+ZM78eZ3svdcLb370zvx5neC8D3U16aHIhLRERErsepz7QQERGR82DRQkRERJrAooWIiIg0gUULERERaYJTFy0LFy7EPffcg6pVqyIsLAw//vij6ki3lZCQgI4dO8Lb2xsBAQHo06cP0tPTrfp069YNOp3O6jF8+HBFiW/tjTfeuCFrs2bNzPvz8vIQFxeHWrVqoUaNGujXrx+ys7MVJr61e+6554b3o9PpEBcXB8Dx/zY7d+5E7969ERwcDJ1Oh3Xr1lntF0Jg6tSpqFu3Lry8vBAREYHjx49b9bl06RJiYmLg4+MDPz8/xMbG4sqVK3Z8F7alxeMGwGMHjx2240jHDactWr744gtMmDAB06ZNw08//YS2bdsiKioK58+fVx3tlpKTkxEXF4c9e/YgMTERhYWFiIyMRG5urlW/oUOHIjMz0/yYPXu2osS317JlS6usu3btMu8bP348NmzYgNWrVyM5ORnnzp1D3759Faa9tb1791q9l8TERADAU089Ze7jyH+b3NxctG3bFgsXLixz/+zZszF//nwsWbIEqampqF69OqKiopCXl2fuExMTgyNHjiAxMREbN27Ezp07MWzYMHu9BZvS6nED4LGDxw7bcajjhnBSnTp1EnFxcebt4uJiERwcLBISEhSmKr/z588LACI5Odn83COPPCLGjh2rLlQ5TJs2TbRt27bMfTk5OaJKlSpi9erV5ueOHTsmAIiUlBQ7JayYsWPHisaNGwuTySSE0NbfBoBYu3atedtkMomgoCAxZ84c83M5OTlCr9eLzz//XAghxNGjRwUAsXfvXnOfzZs3C51OJ37//Xe7ZbcVZzluCMFjh6PT6rFD9XHDKc+0FBQUYP/+/YiIiDA/5+bmhoiICKSkpChMVn4GgwEA4O/vb/X8ihUrULt2bbRq1Qrx8fG4evWqinh35Pjx4wgODkajRo0QExODjIwMAMD+/ftRWFho9Xdq1qwZGjRooIm/U0FBAT777DO88MILVovvaelvU9qpU6eQlZVl9ffw9fVFWFiY+e+RkpICPz8/dOjQwdwnIiICbm5uSE1NtXvmyuRMxw2Axw5H5kzHDnsfNzS5YOLtXLhwAcXFxQgMDLR6PjAwEL/88ouiVOVnMpkwbtw4PPzww2jVqpX5+QEDBqBhw4YIDg7GwYMHMXnyZKSnp2PNmjUK05YtLCwMy5YtQ9OmTZGZmYnp06ejS5cuOHz4MLKysuDp6Qk/Pz+rnwkMDERWVpaawOWwbt065OTkYPDgwebntPS3uV7J/+dlfW5K9mVlZSEgIMBqv4eHB/z9/TXxN7sVZzluADx2ODpnOnbY+7jhlEWLs4iLi8Phw4etruMCsLoO2Lp1a9StWxc9evTAyZMn0bhxY3vHvKXo6Ghzu02bNggLC0PDhg3x5ZdfwsvLS2Gyivvkk08QHR2N4OBg83Na+tuQ8+Kxw7Hx2HH3nPLyUO3ateHu7n7DSPLs7GwEBQUpSlU+o0aNwsaNG7F9+3bUr1//ln3DwsIAACdOnLBHtArx8/PDfffdhxMnTiAoKAgFBQXIycmx6qOFv9Pp06exdetWDBky5Jb9tPS3Kfn//Fafm6CgoBsGpRYVFeHSpUsO/ze7HWc4bgA8djj638rZjh32Pm44ZdHi6emJ9u3bY9u2bebnTCYTtm3bhvDwcIXJbk8IgVGjRmHt2rVISkpCaGjobX8mLS0NAFC3bl0bp6u4K1eu4OTJk6hbty7at2+PKlWqWP2d0tPTkZGR4fB/p6VLlyIgIAC9evW6ZT8t/W1CQ0MRFBRk9fcwGo1ITU01/z3Cw8ORk5OD/fv3m/skJSXBZDKZD7JapeXjBsBjB48datj9uFGRUcSObNWqVUKv14tly5aJo0ePimHDhgk/Pz+RlZWlOtotjRgxQvj6+oodO3aIzMxM8+Pq1atCCCFOnDghZsyYIfbt2ydOnTol1q9fLxo1aiS6du2qOHnZJk6cKHbs2CFOnTolfvjhBxERESFq164tzp8/L4QQYvjw4aJBgwYiKSlJ7Nu3T4SHh4vw8HDFqW+tuLhYNGjQQEyePNnqeS38bS5fviwOHDggDhw4IACI9957Txw4cECcPn1aCCHEzJkzhZ+fn1i/fr04ePCgeOKJJ0RoaKi4du2a+TV69uwp2rVrJ1JTU8WuXbtEkyZNRP/+/VW9pUql1eOGEDx28NhhO4503HDaokUIIT788EPRoEED4enpKTp16iT27NmjOtJtASjzsXTpUiGEEBkZGaJr167C399f6PV6ce+994qXX35ZGAwGtcFv4plnnhF169YVnp6eol69euKZZ54RJ06cMO+/du2aGDlypKhZs6aoVq2aePLJJ0VmZqbCxLf37bffCgAiPT3d6nkt/G22b99e5n9fgwYNEkLI2xdff/11ERgYKPR6vejRo8cN7/PixYuif//+okaNGsLHx0c8//zz4vLlywrejW1o8bghBI8dPHbYjiMdN3RCCFG+czNERERE9ueUY1qIiIjI+bBoISIiIk1g0UJERESawKKFiIiINIFFCxEREWkCixYiIiLSBBYtREREpAksWoiIiEgTWLQQERGRJrBoISIiIk1g0UJERESawKKFiIiINOH/AesPurtrQFPeAAAAAElFTkSuQmCC\n"
          },
          "metadata": {},
          "execution_count": 77
        }
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "JwCsQd-Qb4RX",
        "outputId": "2843c781-8949-4be3-b203-f338b8ff8e04"
      },
      "outputs": [
        {
          "data": {
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAEACAYAAABfxaZOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3XmYVNWZx/HvC00ju6ACsooiBlfECUIck1YMqBhAo0jQ\nuPOYUSITBwVDjCRxQuAJiSYRiQkiLqgYoraGCDg9PcYFwQVR6QguoLTSRogYFGloz/xxbltVTXfT\nS926Vbd+n+fh8Z7bt+q+hadfTp17FnPOISIi+aFF1AGIiEjmKOmLiOQRJX0RkTyipC8ikkeU9EVE\n8oiSvohIHtln0jezXmZWYmavm9mrZnZNcL6zmS03szfMbJmZdUp6zQ1mtsHMysxsRJgfQATAzOab\nWYWZrU061+g6amaDzWytma03s1uSzhea2QPBa54zsz6Z+3Qi6dOQlv4e4Frn3FHAMOBqM/sKMA14\n0jl3BFAC3ABgZkcC44CBwBnAXDOzMIIXSbIAGFnjXFPq6O3A5c65AcAAM6t+z8uBbc65w4FbgNlh\nfhiRsOwz6Tvntjjn1gTHO4AyoBcwBlgYXLYQGBscjwYecM7tcc5tBDYAQ9Ict0gK59zTwD9rnG5U\nHTWz7kAH59zq4Lq7k16T/F5/Aoan/UOIZECj+vTN7BBgELAS6OacqwD/DwPQNbisJ/Be0svKg3Mi\nmda1kXW0J7A56fxmEnX3y9c456qAj82sS3ihi4SjwUnfzNrjWziTgxZ/zfUbtJ6DZLt01lF1WUpO\nKmjIRWZWgE/49zjnHg1OV5hZN+dcRfC1+MPgfDnQO+nlvYJzNd9T/0hIKJLrViPraH11t/pn75tZ\nS6Cjc27bvu4vEgbnXJMbHQ1t6d8JrHPO3Zp0rhi4JDi+GHg06fz4YLRDP6A/sKq2N3XORfLnpptu\nyqv75stn7tjxHVq1OpqPP/blQIPrqPNdQNvNbEjwYPeiGq+5ODg+D/9guE5x/7vOlnvn42durn22\n9M3sJOAC4FUzexn/FfmHwCxgsZldBmzCj4bAObfOzBYD64DdwFUuHZGK1OOQQybwySelwFb2378P\nN9/8k+offbORdfRq4C5gP2Cpc+6J4Px84B4z2wBsBcaH/6lEAsOGwRtvwEUXNfut9pn0nXPPAC3r\n+PFpdbxmJjCzGXGJNNg778CmTYu+LLdpA9Onw49+dBnOuUbVUefci8AxtZzfRfCPhkjGPf88OAe3\n3rrva/chL2fkFhUV5dV9o7x3Ju7brx98+9uJckm9HS/xpfoV03vPn+8TfppYVD0vZqZeH0mrlSvh\nscfgv//bl80M14wHXk2lui1p1a8fbNzoj1u3xnbtala9VtKX2FLSl5xXVQUFSb3wp5+OPfFEs+p1\nXnbviIjkhDlzUstz5zb7LdXSl5y0fj0MGFD/NWrpS87r0QM++MAft20Ln37a7Hqtlr7knCVL4Igj\noH9/2LEj6mhEQlJZmUj4AGedlZa3VUtfckplJbRrB3v2+HLQ+KmVWvqS06ZMSe3e2boVunRRS1/y\ny5AhiYQPMGlSdLGIhGrBgsRxp07QJT3r+ynpS86YPx9eeSVR7tEDZs2KLh6R0GzfDtuSlna68MK0\nvbW6dyRnFBbC7t3+2AwqKuCgg+q+Xt07krO++124995E+bPP/FRzml+v1dKXnPHgg4khyzNn1p/w\nRXLaww8njrt1+zLhp0ODllYWyQZnn+0f2s6cCVOnRh2NSEjefTd1dEKaH1ype0diS907kpNOPx2W\nLUuU9+yBlok1L5tbr5X0JbaU9CUntW7txyaDX3fn7bdTfqw+fYmtkhK/9IhI3li5MpHwAX7607Tf\nQi19yUrvvgt9+/oHt0uWwOjRjX8PtfQl55xwArz0kj9u0aLWVo+6dySWDjoIPvooUQ4mIzaKkr7k\nnJYt4Ysv/PHxxyf+AUii7h2JnUmTUhP+sGFpm4wokr0WLUokfIDf/jaU26ilL1mlrAyOPDJRLiz0\n81Ja1rVhZz3U0peckrxZSmEh7NpV62Vq6Uus1FxIsLi4aQlfJKdUVSUSPsCpp4Z2KyV9ySovveQb\nPAAjRsDIkdHGI5IRP/5xavmPfwztVurekay0aBGcf37zWvnq3pGcccABiQXWOnb0C67Vobn1Wssw\nSFaaMCHqCEQyZNu21BU1L7gg1NuppS+xpZa+5IRzz/WTUart2uUf5NZB4/Qlpz31lK/fQ4em/72V\n9CUntGkDn3/uj3v2hM2b671co3ckZ1VVwTe/6cfhn39+1NGIRGDNmkTCB5g+PfRbqqUvkTn5ZHj6\n6UR57lz4j/9I3/urpS9Z76tfhRde8Md1LLtQk7p3JCctWeK7MqsdcEDqLNx0UNKXrJe87MJxx/mW\n/z6oe0dyTmUljB+feq6WJUZE4u2uu1KXXZg3LyO3VdKXjLvuOr8vRLXrr4c+faKLRyQSyROyWrcO\nZzRDLdS9IxlV3WU5eTLcdhv06AHl5eHcS907krUqK32irzZmDDzySINeqj59yVnr10PnzuFtcK6k\nL1nre9+D3/8+Uf7wwwb/Iijpi9RBSV+yVocOsGOHP27kKAY9yBURySVvvZVI+ADf/35Gb6+kL6Hb\nti0jc05EcsMllySOzeBHP8ro7dW9I6Hr3dvPLO/WzQ9D7t49M/dV945kpYKCxIiGr3zF7xzUCOre\nkaw2fXpiKZGKitQJWZliZj8ws9fMbK2Z3WdmhWbW2cyWm9kbZrbMzDolXX+DmW0wszIzG5F0fnDw\nHuvN7JbMfxLJeffemzrr9rbbMh6CWvoSmnffhb59E+WCAvj003oXEEwrMwPoCTwNfMU5V2lmDwJL\ngSOBrc652WY2FejsnJtmZkcC9wFfBXoBTwKHO+ecmT0PTHLOrTazpcCtzrlltdxXdVtq16cPvPee\nP65nS8T6qKUvWeuEE1LLixZlLuHX0BJoZ2YFQBugHBgDLAx+vhAYGxyPBh5wzu1xzm0ENgBDzKw7\n0ME5tzq47u6k14js286diYQPcPrpkYShpC+heO211FFow4bBeedlPg7n3PvAHOBdfLLf7px7Eujm\nnKsIrtkCdA1e0hNI+s2kPDjXE0he83ZzcE6kYSZNSi0vWBBJGNo5S0Jx9NF+Bc3TTvPLi/ztb9HE\nYWb741v1fYHtwENmdgFQs/8lrf0xM2bM+PK4qKiIoqKidL695KIHHkgcH3ggdOnSoJeVlpZSWlqa\ntjCU9CU0J53khyNv2dK8vW6b6TTgbefcNgAzexj4GlBhZt2ccxVB182HwfXlQO+k1/cKztV1vlbJ\nSV+ENWvgs88S5euua/BLazYafvKTnzQrFHXvSKhatvSbAUXoXWCome1n/snucGAdUAxcElxzMfBo\ncFwMjA9G+PQD+gOrgi6g7WY2JHifi5JeI1K/yy5LHJv5VQYjopa+xJpzbpWZ/Ql4Gdgd/PcOoAOw\n2MwuAzYB44Lr15nZYvw/DLuBq5KG4lwN3AXsByx1zj2Ryc8iOSx5nfzjj48uDjRkU9Jo7Fg/DLl9\n+6gj8TQ5S7LCrFkwbVqi/PLLMGhQk99OC65JVhg1CpYu9Tu+zZsHEydGHZGSvmSJAw+ErVv9cdu2\nfrJKM2icvkSupMQnfPAjdSLsrhTJLuXliYQPcMEF0cUS2GfSN7P5ZlZhZmuTzt1kZpvN7KXgz+lJ\nP6t1CrvEU1UVnHFG6rmohmeKZJ3kxdUAfve7SMJI1pCW/gJgZC3nf+WcGxz8eQLAzAbiH4gNBM4A\n5gYjHSSmior8JkDVrrzSj9EXESB5fP1hh0U2JT3ZPpO+c+5p4J+1/Ki2ZD6GWqawNytCyWqrVyeO\nDzggY3s7i2S/e+9N3Qz6N7+JLpYkzenTn2Rma8zsj0krFNY1hV1i6pNP/EAEM3jppaijEckiU6cm\njgsL4cwzo4slSVPH6c8FfhqsPHgzfm2TKxr7JpqqnvsKC/0ItJ07oU2baGNJ93R1kSbbvh3efz9R\n/ta3ooulhgYN2TSzvsBjzrlj6/uZmU0DnHNuVvCzJ4CbnHPP1/I6DWuTUGnIpkTm7LPhkUcS5X/9\nK20TWDI1ZNNI6sMP1iqpdg7wWnBc6xT2pgYnIpKTqscwg1+HJFtmLNKwIZuLgGeBAWb2rpldCswO\ndhBaA3wD+AH4KexA9RT2paROYZcYOOssePzxqKMQyWIPP5w6pG327OhiqYVm5EqDzZkDU6b441NO\ngRUrIl09c5/UvSOR6NvXbxsH0KpV6j8AaaBlGCQjtm3zs8mr/5e1aOGXTY764W19lPQl43bsgA4d\nEuXRo+HR9C7GqmUYJCOOPTaR8AHmzs3uhC8SiZozcO++O5Iw6qOkL/s0fbpfQqTaMcf4mbciUsNj\njyWODz4YOnWq+9qIKOnLPq1YkTguKIAXXoguFpGs9dBDqf33v/xldLHUQ0lf9mnVKvjZz3w//qJF\nWbF8iEj2ufbaxHGrVjBhQnSx1EMPcqXBqqqye7ROTXqQKxmzbZtffKra2LF+6GYI9CBXMiLXEr5I\nRl10UWr5nnuiiaMB1NKXfaqq8v/NtaSvlr5kTKtWiRU1+/aFjRtDu5Va+pJ2l1++d3dkriV8kYz5\nwx9Sl1DOgo1S6qOWvqRYtQpOPNEfd+wIK1fCgAG5mfTV0peMOOgg+Ogjf9y6NXz+eai3U0tf0uqU\nUxLHn3ziV4jNxYQvkhHvvJNI+JAVe+Dui5K+fGnUKPjss0R53DgYOjS6eESy3oUXppZvvz2aOBpB\n3TsCQEkJDB+eKHfs6Fv5uUzdOxKqqir/ALf6//VRR8Frr9X/mjRQ946kxbPPppafeSaaOERyxg9/\nmLog1cKF0cXSCGrpy5fKynx3zvnnwx13RB1N86mlL6Fq3x4+/dQfZ/CrcXPrdVP3yJUYGjgw97t0\nRDLiqacSCR/guuuii6WR1NKX2FJLX0LTvz+89ZY/btEiMYMxA9SnLyKSSdu3JxI+pI5zzgFK+nlq\n/nzo0QO2bIk6EpEcU3OY5v33RxNHE6l7Jw/t2OH3dvjiCzCDX/wCrr8+6qjST907EoqCgkR3Tu/e\nif1wM0TdO9Jogwf7hA9+xJnyk0gDzZ6d2n8/b150sTSRWvp5Zs4cmDIlUT7sMHjzzejiCZNa+pJ2\nnTr59UnAbxKdPIU9Q9TSlwbbti11ZFmLFrBmTXTxiOSUVasSCR9g0qToYmkGJf088v77fhHAavPm\n+fklItIAyYuptWgBM2dGF0szKOnnkaOP9g9xTz0VhgyBiROjjigzzKyTmT1kZmVm9rqZnWhmnc1s\nuZm9YWbLzKxT0vU3mNmG4PoRSecHm9laM1tvZrdE82kkEtu3p/aDnnxyzi4/qz59ia3qvk8zuwv4\nP+fcAjMrANoBPwS2Oudmm9lUoLNzbpqZHQncB3wV6AU8CRzu/Bs9D0xyzq02s6XArc65ZbXcV3U7\nbs44A554IlH+8EO/jn4E1KcvUg8z6wic7JxbAOCc2+Oc2w6MAapXyFoIjA2ORwMPBNdtBDYAQ8ys\nO9DBObc6uO7upNdI3C1fnjju2zeyhJ8OSvoSd/2Aj8xsgZm9ZGZ3mFlboJtzrgLAObcF6Bpc3xN4\nL+n15cG5nsDmpPObg3MSd9OnJ8Y4A9x5Z3SxpIGSfoyVlUHbtn72bR4rAAYDtznnBgOfAtOAmv0v\n6o+R2v3614njDh38Q7EcplU2Y2zoUNi5E664wjdO8nSN/M3Ae865F4LyEnzSrzCzbs65iqDr5sPg\n5+VA76TX9wrO1XW+VjNmzPjyuKioiKKiouZ9ColGcbH/Jao2fXrGQygtLaW0tDRt76cHuTE1YULq\nkiAjR6Y+h8oHSQ9y/w+Y6Jxbb2Y3AW2DS7Y552bV8SD3RHz3zQoSD3JXAtcAq4G/AL9xzu31t6q6\nHSMHH5xYoKqgAHbvjjYetJ6+1GLVqtSE36YN/OUv0cWTBa4B7jOzVsDbwKVAS2CxmV0GbALGATjn\n1pnZYmAdsBu4KimDXw3cBewHLK0t4UuMvPVW6oqEY+Px3F4t/Rhq1y51dvhzz+XnBudahkGaZdAg\neOWVRHnXLigsjC6egIZsSoqqKr+/Q7Vx4/Iz4Ys0y86dqQn/hBOyIuGng5J+zLRs6evqHXfAgAHw\n4INRRySSg8aPTy0/9FA0cYRA3TsSW+rekSapqvKt+uqx+RGsmV8fde+IiKTT1Kmpk7HuuiuyUMKg\nlr7Ellr60iT77ecf2gJ07OgXW8siaunnucpKPyRz+PDUDX1EpAn+8IdEwge/l2jMqKWf45JHlbVp\nAx9/HJtBBs2mlr402v77J1r2hYWp/wBkCbX089j8+amjyvbfXwlfpMlKSlK7cr73vehiCZFa+jlq\nxw6/XWf18yYzqKjI6RVf004tfWmUnj399nLgd8aqrMzKjVLU0s9TgwenDjCYOVMJX6TJysoSCR/g\nW9/KyoSfDkr6Oeq73/Wte4DDDvOjzESkic45J7WcvHhVzKh7J4dt2QIjRsCzz2qD89qoe0caZMsW\nv5pmtWHD/C9VlmpuvVbSl9hS0pcGGTYMVq5MlCPc/7YhlPRF6qCkL/u0c6ffXq7awIGwbl108TRA\n6A9yzWy+mVWY2dqkc53NbLmZvWFmy8ysU9LPbjCzDWZWZmYjmhqYpKqsjDoCkRg6++zU8iOPRBNH\nBjXkQe4CYGSNc9OAJ51zRwAlwA0Awa5D44CBwBnAXDPLeEsrjnr18uPw16+POhKRmKiqguXLE+U+\nffzStDG3z6TvnHsa+GeN02OAhcHxQqB6S5nRwAPOuT3OuY3ABmBIekLNX1ddBf/4h583csQRsGJF\n1BGJxMAFF0ByN1yMlk+uT1OHbHZ1zlUAOOe2AF2D8z2B95KuKw/OSROVlcHttyfKhYVw6qnRxSMS\nC1VVqUm+a1cYkh/t03Ttkdukp1YzZsz48rioqIiioqI0hRMfw4allouLYztnpNlKS0spLS2NOgzJ\nBd/7Xursxrvvji6WDGvQ6B0z6ws85pw7NiiXAUXOuQoz6w78r3NuoJlNA5xzblZw3RPATc6552t5\nT41w2IdLLoGFCxPlESNg2bLIwsk5Gr0jdSooSCxL27kzbNsWbTyNkKllGCz4U60YuCQ4vhh4NOn8\neDMrNLN+QH9gVVODy3dTpvjlvMGvoLl0abTxiMTCf/5n6jrkv/99dLFEYJ8tfTNbBBQBBwAVwE3A\nI8BDQG9gEzDOOfdxcP0NwOXAbmCyc255LW+r1lAjTJgA11yjDc4bSy19qVWrVrBnjz/u0AE++STa\neBpJk7NE6qCkL3uZPh1+/vNEeeFCuOii6OJpAiV9kToo6cteWrdOzHRs186vUZ5jtLRyjFRV5dTz\nJJHccuONqVPb58yJLpYIqaWfRU4+GZ55Bn76U/jRj6KOJveppS8pklv5bdvCp59GG08TqaUfE0uW\nwNNP+wmCN94IF18cdUQiMTJ9emor/5e/jC6WiKmlnwUqK333YvWAAoBNm/xSINJ0aunLlwoLYfdu\nf5zDrXxQSz8WhgxJTfjTpinhi6TN1KmJhA/wq19FF0sWUEs/Yo8/7rfjrNazJ2zeHF08caKWvgCp\n4/JzdMROMrX0c9wZZ8App/hjM3j55WjjEYmVyZNTv0bfemt0sWQJtfSzxOOPQ3k5XHll1JHEh1r6\nea6qyo/YqV5yoWNHvz55jmtuvU7XKpvSTGedFXUEIjEzcWLqGjt33BFdLFlELX2JLbX081hVlR+x\nU718co6tpFkf9ennoNdeizoCkZg799zU9fLvvTe6WLKMkn6G3XgjHHMMHH+8NjsXCcXOnfDoo4ly\n165w5pnRxZNllPQzqLwcbr7ZH69ZA4ccEmk4ecXMWpjZS2ZWHJQ7m9lyM3vDzJaZWaeka28wsw1m\nVmZmI5LODzaztWa23sxuieJzSAOcfnrq3rd//nN0sWQhJf0MGjQotazRYxk1GViXVJ4GPOmcOwIo\nAW4AMLMjgXHAQOAMYK6ZVfef3g5c7pwbAAwws5GZCl4a6B//gKeeSpT79oWTToouniykpJ8hkybB\nRx8lykOHwnnnRRdPPjGzXsCZwB+TTo8BqjejXAiMDY5HAw845/Y45zYCG4AhwbagHZxzq4Pr7k56\njWSL4cNTy3/9azRxZDEl/QyorITbbkuUCwv94mqSMb8GrgOSh9R0c85VADjntgBdg/M9gfeSrisP\nzvUEkudKbw7OSbYoK4NXX02Ujz4aBg6MLp4spaSfAYWFfohwi+Bvu7gYWraMNqZ8YWajgArn3BpS\n93muSWMsc93IGr1tJSXRxJHlNDkrQyZOhO98B/74x73rpoTqJGC0mZ0JtAE6mNk9wBYz6+acqwi6\nbj4Mri/H7/1crVdwrq7ztZoxY8aXx0VFRRQVFTX/k0jdVqyA95K+oH3jG3DQQdHFk0alpaWUlpam\n7f00OUtiq+YkFjP7BvBfzrnRZjYb2Oqcm2VmU4HOzrlpwYPc+4AT8d03K4DDnXPOzFYC1wCrgb8A\nv3HOPVHLfVW3M61zZ/j4Y39s5pdObtMm2phComUYRJrmF8BiM7sM2IQfsYNzbp2ZLcaP9NkNXJWU\nwa8G7gL2A5bWlvAlArffnkj44Dc6j2nCTwe19ENSXAyjRqnvPkpahiFPJG+DWFAAn38e6188LcOQ\nhUpKYMwYaN/e73krIiG56qrUqe033xzrhJ8OaumnWVWV342tuh62aOGPVQ8zTy39mKushP32S8y+\n7dABPvkk2pgyQC39LFNUlNrwmDhRCV8kFKedlrrcwqJF0cWSQ9TST6MlS/ziftUOOCB1Fq5kllr6\nMfbOO3DooYlynz6waVN08WRQc+u1kn4a7b9/6sY8mzZpg/MoKenHWJ8+qePy33wTDjssungySN07\nWeT11/0qrgDXX6+ELxKKhx9OTfgnn5w3CT8d1NIPwcMPw9lnRx2FqKUfU23b+jXzwY+U2LnTr3WS\nJ9TSz0JK+CIhmTw5kfCry3mU8NNBLX2JLbX0Y2bnTmjXLjFip21bv9xCnlFLP0IPPgjr10cdhUie\nOPnk1CGa998fXSw5TC39Jtq2DQ480NfBSZPgt7+NOiKpSS39GFm5EoYNS5QPPRTeeiu6eCKkIZsR\n6d0bNidtqfHcc343LMkeSvoxkryKJsAHH0D37tHFEyF170Rg+vTUhH/MMUr4IqG58cbUhH/++Xmb\n8NNBLf1Gevddv9dytZYt4bPPNIAgG6mlHwM7d/qVC7/4wpcLC2HXrmhjipha+hk2cWJq+b77lPBF\nQvPv/55I+AALFkQXS0yopd8E558Pixf750rPPht1NFIXtfRzXEkJDB+eKB9yiF9zJ8/pQW5E1q6F\no47SCprZTEk/x7VvnzoOP48f3ibTdokROfbYqCMQibHLL09N+JddpoSfJmrpS2yppZ+jysuhV69E\nOU9n3tZFD3JD9uKLMHNm1FGI5JETT0wtP/ZYNHHElFr6+9CunR+S2a+f78dv3z7qiKSh1NLPQXPm\nwJQpifKQIfD889HFk4X0IDdEo0bB0qWJ8pVXwrx50cUjjaOkn2NqjsnXJJhaqXsnJCUlqQm/Y0cl\nfJFQnXBC6pj8225Twg+BWvq1qKryz46SNzh/9VU4+ujoYpLGU0s/h9x9N1x8caLcvz9s2BBdPFlM\nLf0Q3H9/asK/8kolfJHQVFb6IZnVzOCFF6KLJ+aaNU7fzDYC24EvgN3OuSFm1hl4EOgLbATGOee2\n1/kmWejCC313zre/DZ06qVtHJFQnnui/Xlf7yU/8L56EolndO2b2NnCCc+6fSedmAVudc7PNbCrQ\n2Tk3rZbXZv1X4Koq2L4dunSJOhJpCnXv5ICa3Tq9eqVuei57iXT0jpm9A/ybc25r0rm/A99wzlWY\nWXeg1Dn3lVpeq18MCZWSfpbbuRM6dEi08s2gogIOOijauLJc1H36DlhhZqvN7IrgXDfnXAWAc24L\n0LWZ9xCROPrqV/fu1lHCD11z1945yTn3gZkdBCw3szfw/xAkq7PJM2PGjC+Pi4qKKCoqamY4TbNj\nB5x7LhQXa4RYListLaW0tDTqMKQhfvtbeP31RLlPH79ZioQubUM2zewmYAdwBVCU1L3zv865gbVc\nnzVfgQ8/HN58EwoK/JLJZ58ddUSSDureyVLJG0yD79b56CM9PGugyLp3zKytmbUPjtsBI4BXgWLg\nkuCyi4FHm3qPTJg92yd8gD17YOrUaOMRib1jjkkkfIDf/EYJP4Oa3NI3s37Aw/jumwLgPufcL8ys\nC7AY6A1swg/Z/LiW10feGqrZ4GjRwo/W0fo68aCWfhb6/vfhd79LlI8+2s98lAbT2jvN0Lt36gbn\n8+b5iVgSD0r6WWbNGjj++ES5oMAvmawHaY2ipN9EO3b4+R/VS32owRE/SvpZpKrKf4X+/PPEub/8\nBc48M7qYclTUQzZzVvv2vivn0EN9g+PFF6OOSCTGvva11IR/zjlK+BHJ26QPPvG/9Za+YcaZmfUy\nsxIze93MXjWza4Lznc1suZm9YWbLzKxT0mtuMLMNZlZmZiOSzg82s7Vmtt7Mboni8+SkW26BVasS\n5c6dYcmS6OLJc3nbvSPxZ2YABwPdnXNrgtFmLwJjgEupZbkQMzsSuA/4KtALeBI43DnnzOx5YJJz\nbrWZLQVudc4tq+W+qtvV3nnHf52uZuaXWejZM7qYcpy6d0Tq4Zzb4pxbExzvAMrwyXwMsDC4bCEw\nNjgeDTzgnNvjnNsIbACGBHNOOjjnVgfX3Z30GqlNVRUcd1zquVtvVcKPWF4l/WHDYOXKqKOQqJjZ\nIcAgYCV1LxfSE0he8as8ONcTSBrrxebgnNTl61+Hf/0rUT75ZD9kUyLV3GUYcsaECT7hDxvml1x4\n6KGoI5JMCrp2/gRMds7tMLMGLxfSFNmyxEhkZs6EZ59NlDt0gKeeii6eHJbu5UXyok9/1Sq/ZHe1\nNm381psSb9V9n2ZWADwO/NU5d2vwszJqWS7EzKYBzjk3K7juCeAm/ETDL5cUMbPx+NVk/6OW++Z3\nn/6LL8K//VuibAYbN/r1daTZ1KffAKecklouKYkmDonMncC66oQfqGu5kGJgvJkVBrPO+wOrgi6g\n7WY2xPwuVmqcAAAJ+0lEQVQT4ovI8iVGIrFzp/86nez3v1fCzyKx794ZNSq1VT9uHAwdGl08kllm\ndhJwAfCqmb2M78b5ITALWGxmlxEsFwLgnFtnZouBdcBu4KqkZvvVwF3AfsBS59wTmfwsOeHww2H3\n7kR57FiYODG6eGQvse/e6dfPf7MEvwXi9pzauFGaQzNyM+yss/ws22o9ekB5eXTxxJS6d/bhnXfg\nmmv8rNtnnok6GpGYmjkzNeG3apVYvlaySuxb+pK/1NLPkJISGD489dzLL8OgQdHEE3Nq6YtIdMrL\n4ZvfTD03b54SfhZTS19iSy39kFVWwv77+xE71S68EO65J7qY8oBa+jUMHw6TJ0cdhUge6NcvNeEf\ne6wSfg6IVUt//ny44gp/3LUrvPIKdO+e1ltIDlFLP0RDhsDq1Ylyly7w4YfQsmV0MeUJbaISqLkp\nihlUVMBBB6XtFpJjlPRDct558Kc/JcqFhbB1q/YZzRB17wQGD04kfPAjyJTwRdLs2mtTE36LFrBu\nnRJ+DolF0p8zBzZsSJQPOwymTo0uHpFYmjMHfv3r1HP/8z/+F05yRiySfnLCb9HC778sIml0990w\nZUrquXvugXxbPTQGYpH0582D556Ddu1g7lx90xRJq4cfhosvTj3385/74ZmSc2LzIFekJj3ITYOl\nS/2qhckmT/b73kokNHpHpA5K+s20YgWMGJF67tJL4c47o4lHAI3eEZEwLF26d8I/91wl/BjIyaQ/\naZIfMLBjR9SRiMTQkiV7d+mMHas9RmMi55J+WRncdhu8/bafjHXvvVFHJBIjd93lW/TJxozxD3Ml\nFnIu6SfvxPbFF5qAJZI2s2b5Pvtk554LjzwSTTwSipxK+hMmpO58NXKk/yMizTRpEkyblnru0kvV\npRNDOTN6Z9UqOPHERLlNm9S9b0Vq0uidBho1yj+4TfaDH8CvfhVNPFKv5tbrnNkYfft2v+Xhnj2+\nXFISbTwiOa+qCo46Ct54I/X8rFlw/fXRxCShy5mWPvg9G4YOhQED4IEHQgpMYkMt/Xps2+bXw//k\nk9Tzixf7VTQla2lylkgdlPTrUFoKp53mW/rVWraE55+HE06ILCxpGE3OEpGGu/FGOOWU1ITfvj18\n8IESfp7ImT59EWmGqio/EuLFF1PPDxjg18PXjld5I2tb+kuWwH77QXFx1JGI5LjXXoMOHfZO+Bdd\n5B/iKuHnlazs06+s9MskV4/UOecc/4+ASGOoTx+/Bv6cOannzPxU9gkToolJmiWWQzaHDEkkfID+\n/aOLRSQn/eMfMGgQvP9+6vnOneHVV6Fnz2jikshlXffO/PnwyiuJco8eftiwiDTQjTdCt257J/xR\no/xQTSX8vJZV3Ts7dvhF1Ko3ODeDigqtryNNk3fdO2Vl8PWvw0cfpZ4vKPDj788+O/MxSdrFbshm\n376J45kzlfBF9qmyEoYPhyOP3DvhDxoEn36qhC9fyqqk3769XzL55z+Hk06CqVOjjkgky02Z4hei\nqrkuSatWcN998PLLUFgYTWySlbKqe0cknWLdvTN7Nvz4x7Br194/GzHCL6CmoZixFMvROyJSh5tu\n8iMbakv2Bx/sl1gYMCDjYUnuiDzpV1WpQSJSr5074cIL4dFHU5dPqNa2rd+79vzzMx+b5JxI+/TL\ny6F1a9VVkVo9+CAccohP6n/+894Jv3Vr+OUv/YNa/RJJA4WW9M3sdDP7u5mtN7NaH8kOGuTr8eLF\ncOCBYUUikj4NqdfNUlzsfzEKCmD8eNi0ae9r2rXzs2w//xz+67/SHoLEWyhJ38xaAL8DRgJHAd8x\ns6/UvC55dFkmuyFLS0szd7MsuG+U947yM6dbQ+t1o7z1Flx2mZ8w1aKF34T8lVdq78bp2dN38ezY\nAddeu9ePVb/y597NEVZLfwiwwTm3yTm3G3gAGFPXxYWF8Le/hRRJLVRB43/fkDSqXqfYvh0WLfIJ\n/thj/SzEFi38GiMLFvjZs7WN+CkshDPPhK1bYfNmGD26zluofuXPvZsjrAe5PYH3ksqb8b8wtSou\n1sNcyQkNr9etWvmp5c7Vnszr06oVHHec78L5+tebGqtIrSIfvTNypP8jEivJKwbuixl06QJFRfCz\nn8HAgaGFJRLK5CwzGwrMcM6dHpSnAc45NyvpGs3MktClc3JWQ+p1cF51W0KVdXvkmllL4A1gOPAB\nsAr4jnOuLO03E8kQ1WuJg1C6d5xzVWY2CViOf1g8X78YkutUryUOIlt7R0REMi+SGbmhT3BJ3KeX\nmZWY2etm9qqZXROc72xmy83sDTNbZmadQrp/CzN7ycyKM3zfTmb2kJmVBZ/9xEzc28x+YGavmdla\nM7vPzArDuq+ZzTezCjNbm3SuznuZ2Q1mtiH4OxmRjhhqiSkj9Tq4l+q26nb1zxpVtzOe9EOZ4FK3\nPcC1zrmjgGHA1cG9pgFPOueOAEqAG0K6/2RgXVI5U/e9FVjqnBsIHAf8Pex7m1kP4PvAYOfcsfiu\nw++EeN8F+DqUrNZ7mdmRwDhgIHAGMNfM0rr6ZobrNahuq27TxLrtnMvoH2Ao8Nek8jRgaobu/Qhw\nGr6idAvOdQf+HsK9egErgCKgODiXift2BN6q5Xyo9wZ6AJuAzvhfiuKw/66BvsDafX3GmnUM+Ctw\nYpo/f2T1Orif6nZI945b3Y6ie6e2CS6hb9ppZocAg4CV+L+8CgDn3Bagawi3/DVwHZD80CQT9+0H\nfGRmC4Kv33eYWduw7+2cex+YA7wLlAPbnXNPhn3fGrrWca+ada6c9Ne5SOo1qG6Hfe+41e2s2jkr\nLGbWHvgTMNk5t4PUykot5ebebxRQ4ZxbA9T3VSuMp+gFwGDgNufcYOBTfGsg7M+8P35Jgr74llE7\nM7sg7PvuQ+xHKahuq243VhRJvxzok1TuFZwLhZkV4H8p7nHOPRqcrjCzbsHPuwMfpvm2JwGjzext\n4H7gVDO7B9gS8n3BtzDfc869EJSX4H9Rwv7MpwFvO+e2OeeqgIeBr2Xgvsnqulc50DvpujDqXEbr\nNahuo7oNTajbUST91UB/M+trZoXAeHwfWVjuBNY5525NOlcMXBIcXww8WvNFzeGc+6Fzro9z7lD8\n5ytxzn0XeCzM+wb3rgDeM7PqdUuHA68T8mfGf/Udamb7BQ+ShuMf9IV5XyO1tVnXvYqB8cGIi35A\nf/zEqnTKdL0G1W3V7abU7XQ/bGngQ4rT8TMbNwDTQrzPSUAVsAZ4GXgpuHcX4MkghuXA/iHG8A0S\nD7sycl/8qIbVwef+M9ApE/cGbgLKgLXAQqBVWPcFFgHvA7vwv5SX4h+01Xov/GiHN4P4RuRyvVbd\nVt1uTt3W5CwRkTySFw9yRUTEU9IXEckjSvoiInlESV9EJI8o6YuI5BElfRGRPKKkLyKSR5T0RUTy\nyP8DG1xU47jRvuwAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<matplotlib.figure.Figure at 0x114be5e48>"
            ]
          },
          "execution_count": 51,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ByzVorpPb4RX"
      },
      "source": [
        "** See if you can resize the plot by adding the figsize() argument in plt.subplots() are copying and pasting your previous code.**"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "fig,axes=plt.subplots(nrows=1,ncols=2,figsize=(12,2))\n",
        "axes[0].plot(x,y,'b',linewidth=2.00)\n",
        "axes[0].set_xlabel=\"x\"\n",
        "axes[0].set_ylabel=\"y\" \n",
        "axes[1].plot(x,z,'r--',linewidth=2.00)\n",
        "axes[1].set_xlabel=\"x\"\n",
        "axes[1].set_ylabel=\"z\" "
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 216
        },
        "id": "oa2wyhQ6o9_1",
        "outputId": "207624bf-3a31-4a4b-9768-5ca6719996cd"
      },
      "execution_count": 79,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1200x200 with 2 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "bU-Xqmv8b4RX",
        "outputId": "f84a6baa-d46c-4b52-af8e-d2021cc55490"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "<matplotlib.text.Text at 0x1141b4ba8>"
            ]
          },
          "execution_count": 32,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtsAAACgCAYAAADdCqCDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJEsUbIuIiIiIZMn/A0B/LV+00DLqAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<matplotlib.figure.Figure at 0x11400a908>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "GXFVT_BEb4RY"
      },
      "source": [
        "# Great Job!"
      ]
    }
  ],
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.8.5"
    },
    "colab": {
      "provenance": []
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}