diff --git a/axial_image_bnn.ipynb b/axial_image_bnn.ipynb
new file mode 100644
index 0000000000000000000000000000000000000000..c72d10fd4453483430ab1747fa9bf2256dad41aa
--- /dev/null
+++ b/axial_image_bnn.ipynb
@@ -0,0 +1,3711 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "colab": {
+     "base_uri": "https://localhost:8080/",
+     "height": 218
+    },
+    "colab_type": "code",
+    "id": "6gMl5hXMFD2p",
+    "outputId": "c6bf6f59-e6c0-41e3-b4bd-94b52250bb6d"
+   },
+   "source": [
+    "# !pip install pyro-ppl"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "kSKC5SVaDKtb"
+   },
+   "outputs": [],
+   "source": [
+    "import torch\n",
+    "import torch.nn as nn\n",
+    "import torch.nn.functional as F\n",
+    "import torch.optim as optim\n",
+    "import torchvision\n",
+    "from torchvision import datasets, transforms\n",
+    "from torch.utils.data import DataLoader"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "9nnWWabPDKtf"
+   },
+   "outputs": [],
+   "source": [
+    "import numpy as np\n",
+    "import matplotlib.pyplot as plt\n",
+    "from matplotlib import colors\n",
+    "from IPython import display\n",
+    "import os\n",
+    "from PIL import Image, ImageOps\n",
+    "from torch.utils.data.dataset import Dataset\n",
+    "from scipy.misc import imread"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "4JAJEC4GDKtj"
+   },
+   "outputs": [],
+   "source": [
+    "%matplotlib inline"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<PIL.PngImagePlugin.PngImageFile image mode=RGBA size=512x328 at 0x1E77F3EB588>"
+      ]
+     },
+     "execution_count": 4,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "image = Image.open(\"D:/Lung cancer LNDb project/dataset/slices/axial_image/1/LNDb-0001_172.png\")\n",
+    "image"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "image = image.resize((28,28))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "image = np.asarray(ImageOps.grayscale(image)).T"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "(28, 28)"
+      ]
+     },
+     "execution_count": 7,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "image.shape"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "class data_loader(Dataset):\n",
+    "    def __init__(self, root):\n",
+    "        Images, Y = [], []\n",
+    "        folders = os.listdir(root)\n",
+    "        folders = folders[0:]\n",
+    "\n",
+    "        for folder in folders:\n",
+    "            folder_path = os.path.join(root, folder)\n",
+    "            print(folder_path)\n",
+    "            count = 0\n",
+    "            for ims in os.listdir(folder_path):\n",
+    "                if count >= 6000:\n",
+    "                    break\n",
+    "                count += 1\n",
+    "                img_path = os.path.join(folder_path, ims)\n",
+    "                rgbv = Image.open(img_path)\n",
+    "                rgbv = rgbv.resize((28,28))\n",
+    "                gray = ImageOps.grayscale(rgbv)\n",
+    "                Images.append(np.asarray(gray).T)\n",
+    "                Y.append(int(folder))  # Folders are A-J so labels will be 0-9\n",
+    "                data = [(x, y) for x, y in zip(Images, Y)]\n",
+    "                self.data = data\n",
+    "    def __len__(self):\n",
+    "        return len(self.data)\n",
+    "    def __getitem__(self, index):\n",
+    "        img = self.data[index][0]\n",
+    "\n",
+    "    # 8 bit images. Scale between 0, 1\n",
+    "        img = img / 255\n",
+    "\n",
+    "    # Input for Conv2D should be Channels x Height x Width\n",
+    "        img_tensor = transforms.ToTensor()(img).view(1, 28, 28).float()\n",
+    "        label = self.data[index][1]\n",
+    "        return (img_tensor, label)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "D:/Lung cancer LNDb project/dataset/slices/axial_image/0\n",
+      "D:/Lung cancer LNDb project/dataset/slices/axial_image/1\n"
+     ]
+    }
+   ],
+   "source": [
+    "train_dataset = data_loader('D:/Lung cancer LNDb project/dataset/slices/axial_image/')\n",
+    "train_loader = DataLoader(train_dataset, batch_size=128, shuffle=True)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "D:/Lung cancer LNDb project/dataset/slices/axial_test\\0\n",
+      "D:/Lung cancer LNDb project/dataset/slices/axial_test\\1\n"
+     ]
+    }
+   ],
+   "source": [
+    "test_dataset = data_loader(\"D:/Lung cancer LNDb project/dataset/slices/axial_test\")\n",
+    "test_loader = DataLoader(test_dataset, batch_size=128, shuffle=True)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "9kYuxPf-DKtl"
+   },
+   "outputs": [],
+   "source": [
+    "class NN(nn.Module):\n",
+    "    \n",
+    "    def __init__(self, input_size, hidden_size, output_size):\n",
+    "        super(NN, self).__init__()\n",
+    "        self.fc1 = nn.Linear(input_size, hidden_size)\n",
+    "        self.out = nn.Linear(hidden_size, output_size)\n",
+    "        \n",
+    "    def forward(self, x):\n",
+    "        output = self.fc1(x)\n",
+    "        output = F.relu(output)\n",
+    "        output = self.out(output)\n",
+    "        return output"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 12,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "LRj9L274DKtq"
+   },
+   "outputs": [],
+   "source": [
+    "net = NN(28*28, 1024, 2)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "iqwMEBW2DKts"
+   },
+   "outputs": [],
+   "source": [
+    "import pyro\n",
+    "from pyro.distributions import Normal, Categorical\n",
+    "from pyro.infer import SVI, Trace_ELBO\n",
+    "from pyro.optim import Adam"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 14,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "MhgMX50fDKtv"
+   },
+   "outputs": [],
+   "source": [
+    "log_softmax = nn.LogSoftmax(dim=1)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "zeP4Kc2EDKtx"
+   },
+   "outputs": [],
+   "source": [
+    "def model(x_data, y_data):\n",
+    "    \n",
+    "    fc1w_prior = Normal(loc=torch.zeros_like(net.fc1.weight), scale=torch.ones_like(net.fc1.weight))\n",
+    "    fc1b_prior = Normal(loc=torch.zeros_like(net.fc1.bias), scale=torch.ones_like(net.fc1.bias))\n",
+    "    \n",
+    "    outw_prior = Normal(loc=torch.zeros_like(net.out.weight), scale=torch.ones_like(net.out.weight))\n",
+    "    outb_prior = Normal(loc=torch.zeros_like(net.out.bias), scale=torch.ones_like(net.out.bias))\n",
+    "    \n",
+    "    priors = {'fc1.weight': fc1w_prior, 'fc1.bias': fc1b_prior,  'out.weight': outw_prior, 'out.bias': outb_prior}\n",
+    "    # lift module parameters to random variables sampled from the priors\n",
+    "    lifted_module = pyro.random_module(\"module\", net, priors)\n",
+    "    # sample a regressor (which also samples w and b)\n",
+    "    lifted_reg_model = lifted_module()\n",
+    "    \n",
+    "    lhat = log_softmax(lifted_reg_model(x_data))\n",
+    "    \n",
+    "    pyro.sample(\"obs\", Categorical(logits=lhat), obs=y_data)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 16,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "NRcucbteDKtz"
+   },
+   "outputs": [],
+   "source": [
+    "softplus = torch.nn.Softplus()\n",
+    "\n",
+    "def guide(x_data, y_data):\n",
+    "    \n",
+    "    # First layer weight distribution priors\n",
+    "    fc1w_mu = torch.randn_like(net.fc1.weight)\n",
+    "    fc1w_sigma = torch.randn_like(net.fc1.weight)\n",
+    "    fc1w_mu_param = pyro.param(\"fc1w_mu\", fc1w_mu)\n",
+    "    fc1w_sigma_param = softplus(pyro.param(\"fc1w_sigma\", fc1w_sigma))\n",
+    "    fc1w_prior = Normal(loc=fc1w_mu_param, scale=fc1w_sigma_param)\n",
+    "    # First layer bias distribution priors\n",
+    "    fc1b_mu = torch.randn_like(net.fc1.bias)\n",
+    "    fc1b_sigma = torch.randn_like(net.fc1.bias)\n",
+    "    fc1b_mu_param = pyro.param(\"fc1b_mu\", fc1b_mu)\n",
+    "    fc1b_sigma_param = softplus(pyro.param(\"fc1b_sigma\", fc1b_sigma))\n",
+    "    fc1b_prior = Normal(loc=fc1b_mu_param, scale=fc1b_sigma_param)\n",
+    "    # Output layer weight distribution priors\n",
+    "    outw_mu = torch.randn_like(net.out.weight)\n",
+    "    outw_sigma = torch.randn_like(net.out.weight)\n",
+    "    outw_mu_param = pyro.param(\"outw_mu\", outw_mu)\n",
+    "    outw_sigma_param = softplus(pyro.param(\"outw_sigma\", outw_sigma))\n",
+    "    outw_prior = Normal(loc=outw_mu_param, scale=outw_sigma_param).independent(1)\n",
+    "    # Output layer bias distribution priors\n",
+    "    outb_mu = torch.randn_like(net.out.bias)\n",
+    "    outb_sigma = torch.randn_like(net.out.bias)\n",
+    "    outb_mu_param = pyro.param(\"outb_mu\", outb_mu)\n",
+    "    outb_sigma_param = softplus(pyro.param(\"outb_sigma\", outb_sigma))\n",
+    "    outb_prior = Normal(loc=outb_mu_param, scale=outb_sigma_param)\n",
+    "    priors = {'fc1.weight': fc1w_prior, 'fc1.bias': fc1b_prior, 'out.weight': outw_prior, 'out.bias': outb_prior}\n",
+    "    \n",
+    "    lifted_module = pyro.random_module(\"module\", net, priors)\n",
+    "    \n",
+    "    return lifted_module()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 17,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "Lvwj_4GZDKt2"
+   },
+   "outputs": [],
+   "source": [
+    "optim = Adam({\"lr\": 0.01})\n",
+    "svi = SVI(model, guide, optim, loss=Trace_ELBO())"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 18,
+   "metadata": {
+    "colab": {
+     "base_uri": "https://localhost:8080/",
+     "height": 154
+    },
+    "colab_type": "code",
+    "id": "Fj34GEy9DKt5",
+    "outputId": "49f5674b-e5f0-4e49-e2aa-44109c12497c"
+   },
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "C:\\Users\\LNS\\Anaconda3\\lib\\site-packages\\pyro\\primitives.py:406: FutureWarning: The `random_module` primitive is deprecated, and will be removed in a future release. Use `pyro.nn.Module` to create Bayesian modules from `torch.nn.Module` instances.\n",
+      "  \"modules from `torch.nn.Module` instances.\", FutureWarning)\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch  0  Loss  5245.77254785231\n",
+      "Epoch  1  Loss  4144.083205441445\n",
+      "Epoch  2  Loss  3271.951018637384\n",
+      "Epoch  3  Loss  2635.9409291391175\n",
+      "Epoch  4  Loss  2182.727128698538\n",
+      "Epoch  5  Loss  1799.4752162079315\n",
+      "Epoch  6  Loss  1475.723219378705\n",
+      "Epoch  7  Loss  1231.339755594482\n",
+      "Epoch  8  Loss  1043.0354189849893\n",
+      "Epoch  9  Loss  912.3928098984212\n",
+      "Epoch  10  Loss  758.5017211344143\n",
+      "Epoch  11  Loss  675.4837841744373\n",
+      "Epoch  12  Loss  569.5709669041782\n",
+      "Epoch  13  Loss  491.8299632381151\n",
+      "Epoch  14  Loss  406.32412024680275\n",
+      "Epoch  15  Loss  366.19138654798763\n",
+      "Epoch  16  Loss  327.1504288238982\n",
+      "Epoch  17  Loss  303.13340502629677\n",
+      "Epoch  18  Loss  280.9177796035111\n",
+      "Epoch  19  Loss  251.61736569740873\n",
+      "Epoch  20  Loss  234.33657873149215\n",
+      "Epoch  21  Loss  205.56754007525245\n",
+      "Epoch  22  Loss  200.09613931259017\n",
+      "Epoch  23  Loss  201.40800817291438\n",
+      "Epoch  24  Loss  204.9220256637285\n",
+      "Epoch  25  Loss  194.2379893214653\n",
+      "Epoch  26  Loss  191.7305019146204\n",
+      "Epoch  27  Loss  168.45973189640543\n",
+      "Epoch  28  Loss  174.41025673119725\n",
+      "Epoch  29  Loss  160.66169404706358\n"
+     ]
+    }
+   ],
+   "source": [
+    "num_iterations = 30\n",
+    "loss = 0\n",
+    "list_epoch = []\n",
+    "list_loss = []\n",
+    "for j in range(num_iterations):\n",
+    "    loss = 0\n",
+    "    for batch_id, data in enumerate(train_loader):\n",
+    "        # calculate the loss and take a gradient step\n",
+    "        loss += svi.step(data[0].view(-1,28*28), data[1])\n",
+    "    normalizer_train = len(train_loader.dataset)\n",
+    "    total_epoch_loss_train = loss / normalizer_train\n",
+    "    \n",
+    "    print(\"Epoch \", j, \" Loss \", total_epoch_loss_train)\n",
+    "    list_epoch.append(total_epoch_loss_train)\n",
+    "    list_loss.append(j)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 27,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "# summarize history for loss\n",
+    "plt.plot(list_loss,list_epoch)\n",
+    "# plt.plot(history.history['val_loss'])\n",
+    "plt.title('Axial Image model loss')\n",
+    "plt.ylabel('loss')\n",
+    "plt.xlabel('epoch')\n",
+    "plt.legend(['train'], loc='upper left')\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 20,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "DXonPMG0DKuB"
+   },
+   "outputs": [],
+   "source": [
+    "def imshow(img):\n",
+    "    img = img / 2 + 0.5     # unnormalize\n",
+    "    npimg = img.numpy()\n",
+    "    #plt.imshow(npimg,  cmap='gray')\n",
+    "    #fig.show(figsize=(1,1))\n",
+    "    \n",
+    "    fig, ax = plt.subplots(figsize=(1, 1))\n",
+    "    ax.imshow(npimg,  cmap='gray', interpolation='nearest')\n",
+    "    plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 21,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "4xgqDdSaDKt_"
+   },
+   "outputs": [],
+   "source": [
+    "classes = ('0', '1')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 22,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "fv4XtaSCDKuD"
+   },
+   "outputs": [],
+   "source": [
+    "num_samples = 10\n",
+    "def give_uncertainities(x):\n",
+    "    sampled_models = [guide(None, None) for _ in range(num_samples)]\n",
+    "    yhats = [F.log_softmax(model(x.view(-1,28*28)).data, 1).detach().numpy() for model in sampled_models]\n",
+    "    return np.asarray(yhats)\n",
+    "    #mean = torch.mean(torch.stack(yhats), 0)\n",
+    "    #return np.argmax(mean, axis=1)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 23,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "qi0AQf1QDKuG"
+   },
+   "outputs": [],
+   "source": [
+    "def test_batch(images, labels, plot=True):\n",
+    "    y = give_uncertainities(images)\n",
+    "    predicted_for_images = 0\n",
+    "    correct_predictions=0\n",
+    "\n",
+    "    for i in range(len(labels)):\n",
+    "    \n",
+    "        if(plot):\n",
+    "            print(\"Real: \",labels[i].item())\n",
+    "            fig, axs = plt.subplots(1, 2, sharey=True,figsize=(20,2))\n",
+    "    \n",
+    "        all_digits_prob = []\n",
+    "    \n",
+    "        highted_something = False\n",
+    "    \n",
+    "        for j in range(len(classes)):\n",
+    "        \n",
+    "            highlight=False\n",
+    "        \n",
+    "            histo = []\n",
+    "            histo_exp = []\n",
+    "        \n",
+    "            for z in range(y.shape[0]):\n",
+    "                histo.append(y[z][i][j])\n",
+    "                histo_exp.append(np.exp(y[z][i][j]))\n",
+    "            \n",
+    "            prob = np.percentile(histo_exp, 50) #sampling median probability\n",
+    "        \n",
+    "            if(prob>0.2): #select if network thinks this sample is 20% chance of this being a label\n",
+    "                highlight = True #possibly an answer\n",
+    "        \n",
+    "            all_digits_prob.append(prob)\n",
+    "            \n",
+    "            if(plot):\n",
+    "            \n",
+    "                N, bins, patches = axs[j].hist(histo, bins=8, color = \"lightgray\", lw=0,  weights=np.ones(len(histo)) / len(histo), density=False)\n",
+    "                axs[j].set_title(str(j)+\" (\"+str(round(prob,2))+\")\") \n",
+    "        \n",
+    "            if(highlight):\n",
+    "            \n",
+    "                highted_something = True\n",
+    "                \n",
+    "                if(plot):\n",
+    "\n",
+    "                    # We'll color code by height, but you could use any scalar\n",
+    "                    fracs = N / N.max()\n",
+    "\n",
+    "                    # we need to normalize the data to 0..1 for the full range of the colormap\n",
+    "                    norm = colors.Normalize(fracs.min(), fracs.max())\n",
+    "\n",
+    "                    # Now, we'll loop through our objects and set the color of each accordingly\n",
+    "                    for thisfrac, thispatch in zip(fracs, patches):\n",
+    "                        color = plt.cm.viridis(norm(thisfrac))\n",
+    "                        thispatch.set_facecolor(color)\n",
+    "\n",
+    "    \n",
+    "        if(plot):\n",
+    "            plt.show()\n",
+    "    \n",
+    "        predicted = np.argmax(all_digits_prob)\n",
+    "    \n",
+    "        if(highted_something):\n",
+    "            predicted_for_images+=1\n",
+    "            if(labels[i].item()==predicted):\n",
+    "                if(plot):\n",
+    "                    print(\"Correct\")\n",
+    "                correct_predictions +=1.0\n",
+    "            else:\n",
+    "                if(plot):\n",
+    "                    print(\"Incorrect :()\")\n",
+    "        else:\n",
+    "            if(plot):\n",
+    "                print(\"Undecided.\")\n",
+    "        \n",
+    "        if(plot):\n",
+    "            imshow(images[i].squeeze())\n",
+    "        \n",
+    "    \n",
+    "    if(plot):\n",
+    "        print(\"Summary\")\n",
+    "        print(\"Total images: \",len(labels))\n",
+    "        print(\"Predicted for: \",predicted_for_images)\n",
+    "        print(\"Accuracy when predicted: \",correct_predictions/predicted_for_images)\n",
+    "        \n",
+    "    return len(labels), correct_predictions, predicted_for_images \n",
+    "    "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 24,
+   "metadata": {
+    "colab": {
+     "base_uri": "https://localhost:8080/",
+     "height": 138
+    },
+    "colab_type": "code",
+    "id": "mIumYp87DKuI",
+    "outputId": "b9f41f53-5535-42ea-94c3-44ab7b11d06d"
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Prediction when network can refuse\n",
+      "Total images:  52\n",
+      "Skipped:  0\n",
+      "Accuracy when made predictions: 100 %\n"
+     ]
+    }
+   ],
+   "source": [
+    "# Prediction when network can decide not to predict\n",
+    "\n",
+    "print('Prediction when network can refuse')\n",
+    "correct = 0\n",
+    "total = 0\n",
+    "total_predicted_for = 0\n",
+    "for j, data in enumerate(test_loader):\n",
+    "    images, labels = data\n",
+    "    \n",
+    "    total_minibatch, correct_minibatch, predictions_minibatch = test_batch(images, labels, plot=False)\n",
+    "    total += total_minibatch\n",
+    "    correct += correct_minibatch\n",
+    "    total_predicted_for += predictions_minibatch\n",
+    "\n",
+    "print(\"Total images: \", total)\n",
+    "print(\"Skipped: \", total-total_predicted_for)\n",
+    "print(\"Accuracy when made predictions: %d %%\" % (100 * correct / total_predicted_for))\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 25,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "3BhqtbRbDKuL"
+   },
+   "outputs": [],
+   "source": [
+    "# preparing for evaluation\n",
+    "\n",
+    "dataiter = iter(test_loader)\n",
+    "images, labels = dataiter.next()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 26,
+   "metadata": {
+    "colab": {
+     "base_uri": "https://localhost:8080/",
+     "height": 1000
+    },
+    "colab_type": "code",
+    "id": "rfI63aVZDKuO",
+    "outputId": "10bace9f-195e-4636-f32e-28f17ff307dd"
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAFkAAABYCAYAAACeV1sKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAGmElEQVR4nO2cTWhcVRTHf2dmkjatoUkq0dI0NpVidVXBiqALN4K4URcWu3BbFwoWBClduREEP0AQhIgFBUGFFnTnoqi4qSSWYq1FKaFoNamYVExCm8nMHBfzzmTmzrx585HcyUzuD8Lk3Xe/5sz/nXvO+xJVJbCxpDo9ga1AMLIHgpE9EIzsgWBkDwQje6AtI4vIkyLyq4hcFZGT6zWpXkNajZNFJA38BjwBXAemgGOq+sv6Ta83yLTR9mHgqqrOAIjIZ8DTQKyRRaRnMx9Vlbh97biLvcAfZdvXo7IKROS4iEyLyHQbY3U17Si51i9XpVRVnQQmobeVXI92lHwd2Fe2PQb81d50epN2jDwFHBSRCRHpB54HvlqfafUWLbsLVc2JyMvA10AaOK2ql9dtZj1EyyFcS4P1sE/eqOgi0CDByB4IRvZAO3HylmBqaqpiW6Toem0tO3LkSGIfQcke6Hklu0o0TJEuqVSl7vL5fM39bnk9gpI90FVKbkaVuVyuZh3zpdlsFoD+/v6KcqsX194UHHck1CIo2QMdUfL0dPGsp6sew8rT6TTQuP8rz16treH60iQFu3Oycuu3mUw5KNkDXo186NAhzp8/X1WuqjWVUSgUKBQKiEiFstxta59Op0mn06X95X/ZbJZsNluqk0qlSKVSVX1tBEHJHvDqk0WETCaT6M+SfLHbvp7P3r59e0UbNzpw+7Kxb9++DUBfX19FeSuqD0r2gFclqyq5XK5KFaamRldst10mU/wa5RGA1SkUCsBaNOFmdLZ/eHgYgPn5eQB27twJrMXTdgRYfVN4IwQle8C7T+7v7y+pwVWuqc/UYwp1cWNb2x4YGABgdXW1KrOzvsbGxir6cn30+Ph4xbarfGN1dbXeV60gKNkD3jO+fD5f8o+mMsNUY6qLO+NlKjPfbr741q1bpXKLKvbuLd5v42aRdjS5maE7l/J5l7fbtm1b4nc1vBs5k8lUGS0uBLMv5LoFW3TsR9q1axewtnjNzc2VygxrY6GZ/ZBxKb0Z2X5AdyFshuAuPOA9hFtZWak6RO3QSzpBbupz1WQKNhcxMDBQUp6LKdcN++KwudlCZ59xbqYWQcke6EhabQp1VWWKdU8ruguc4abAy8vLAIyOjpbq2liuAm2/jRmXNrtH18jISM3yegQle8B7dKGqVZdy7NMN4ZJO3tv23NxcRfnQ0FBVHXdM87Vuau7ijr20tFTRrhGCkj3QkctPcb7VaPbyk5sCZ7PZkjItPl5ZWamoYz7a2tq21XfXBTeBCtHFJiNRySKyD/gEuBsoAJOq+p6IjACfA/uBa8BRVb1Zry9VJZ/PV0UNcUqNS6ddf2jqswyxPIIxRbonldx1wHBP/Fi9VuJjoxEl54BXVfV+4BHgJRF5ADgJnFPVg8C5aDtQg6ZvAheRL4H3o7/HVXVWRPYA36rqfQltKwZzL6q6UYXhntRJupXgwIEDVX7a2rpjma92Mzs3hjfMN1t/O3bssLFjr0s1tfCJyH7gQeAH4C5VnY0GmBWR0Zg2x4HjzYzTazSsZBG5A/gOeENVz4rIv6o6VLb/pqoOJ/TR1uMMpvw4xZefAp2YmACqFRyXTcb55rh1wBQ9ODho+9t7nEFE+oAzwKeqejYqvhG5CaLPvxvpayuSqGQp/pQfAwuqeqKs/C1gXlXfjB5eH1HV1xL66tiDOQsLC0D1mT3Xr7uKToo+du/eDdRXciNGfgz4HrhEMYQDOEXRL38BjAO/A8+p6kJCX8HIG003PmK2uLgIwMzMDLDmi0dHi+t8I0YOGZ8HgpLXiaDkDhOM7IFgZA8EI3sgGNkDwcgeCEb2gO9rfP8Ay9Fnt3In1fO/p14Dr8kIgIhMq+pDXgddR1qZf3AXHghG9kAnjDzZgTHXk6bn790nb0WCu/BAMLIHvBm5G19oLSL7ROQbEbkiIpdF5JWo/HUR+VNELkZ/T9Xtx4dP7tYXWkdX4feo6gURGQR+BJ4BjgJLqvp2I/34UnLphdaqmgXshdabGlWdVdUL0f+LwBVqvCM6CV9GbuiF1psZ5+4pgJdF5CcROS0idW/q8WXkhl5ovVmJ7p46A5xQ1f+AD4B7gcPALPBOvfa+jNy1L7SudfeUqt5Q1byqFoAPKbrDWHwZuStfaB3dPfURcEVV3y0r31NW7Vng53r9eDnV2cUvtH4UeAG4JCIXo7JTwDEROUzR5V0DXqzXSUirPRAyPg8EI3sgGNkDwcgeCEb2QDCyB4KRPfA/B94Q9K1YbeQAAAAASUVORK5CYII=\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAABIEAAACcCAYAAADoMbuXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAUFElEQVR4nO3dfbBtZX0f8O9P7oAZXyqWqya8XZigCSZN1RtCpmNKolHIpNC02sFoJE1aIi2x0zSTYFF0oG18acdpWhtDplRNE5GmhjAGa0yNaTsNKBpQr4i5Eh1v8B0k4gsU+PWPvTD7Hs85d59z92WfvdfnM7Pn7vWsZ63z/Paz9jrP+p1nrVvdHQAAAABW2yMW3QAAAAAAjjxJIAAAAIARkAQCAAAAGAFJIAAAAIARkAQCAAAAGAFJIAAAAIARkAQC5qqqTq+qm47Afp9YVbdW1THz3jcAwLKrqt1VdVtVPXLO+z2mqj5WVU+Y536BxZAEAjZVVY+vqt+tqq9W1aeq6icPsckVSf7tdravqldV1f+rqnumXqcmSXd/LskfJblwHnEBAOxkVXVxVd1UVfdW1Ztm2OSSJP+lu78xbH9MVV1VVX9ZVZ+tql/Y5Gf9dFU9sGYMdlaSdPe9Sa5K8suHHxWwaJJAwKG8Icl9SZ6Y5IVJfq2qnrpexar69iQ/nOTa7Ww/eFt3P3rqdfvUut9K8nPbDwUAYGnckeRfZZKA2dQwU/qCJP91qvhVSU5LcnIm47NfqqqzN9nNn6wZg713at1vJ7nAjGxYfpJAwIaq6lFJ/n6SV3T3Pd39f5Jcl+SnNtjkR5N8cOovUFvd/lBuTHJqVZ28ze0BAJZCd7+9u69N8qUZqv9Aki9394GpshcnuaK77+ruW5P8RpKf3mZbDiS5K8mZ29ke2DkkgYDNPDnJA9398amyW5JsNJPne5PcdhjbJ8nfqao7q2pfVV00vaK770+yP8n3zRoAAMAIHDQGq6pjk3xHJuOuhxxqDPa0qvpiVX28ql5RVbvWrL81xmCw9NZ+sQGmPTrJ3WvK7k7ymA3qPy4H/7Vqq9tfk+TKJJ/L5C9a/72qvtzdb52q85Xh5wAAMPG4TMZID3n08O/0OGyzMdj/SvI9ST6VSaLobUnuT/IrU3WMwWAFmAkEbOaeJI9dU/bYHDzImHZXDh5cbGn77v5od9/R3Q909/9N8u+TPG9Ntcck+fIMbQcAGIv1xmDJweOwzcZgt3f3n3f3g9394SSXxxgMVpIkELCZjyfZVVWnTZV9X5J9G9T/UCa3gG13+7U6ST20MExL/s4cPLUZAGDsDhqDdfddST6Tg2/f2vYYbPDdMQaDpScJBGyou7+a5O1JLq+qR1XV30pyXpLf3GCTdyd5elU9cjvbV9V5VXVsTZyR5KVJfm+qyhlJPtndn5pHfAAAO1VV7RrGVEclOaqqHrnOc3oe8r4kj6uq46fK3pLk5cPY6ruS/OMkb9rgZ51TVU8c3n9Xkldkagw27PfxSW44zLCABZMEAg7lnyT5tiSfT/LWJBd197p/ReruzyV5TyaJnkNuX1XPrKp7puqen8mDn7+SycDlNd395qn1L0zyxnkEBQCww708ydeTXJLkRcP7l69XsbvvyyTB86Kp4lcm+UQmz/n54ySv6+7/kSRVdVJV3VNVJw11n5XkQ1X11STXZ/JHvH8zta+fTPLm7r53PqEBi1Ldveg2ACukqk5P8uYkZ/QcTzBV9YRMBjBPe+i/oAcAYKKqdif535mMlb4+x/0ek8ltYD/U3Z+f136BxZAEAgAAABgBt4MBAAAAjIAkEAAAAMAISAIBAAAAjIAkEAAAAMAI7FrUDz7uuON6z549i/rxAMAR9oEPfOCL3b170e3gYMZgALDaNhuDLSwJtGfPntx0002L+vEAwBFWVZ9adBv4VsZgALDaNhuDuR0MAAAAYAQkgQAAAABGQBIIAAAAYAQW9kwgANjpHvzskxfdhCPuEU/6+KKbAADwTWMYfyWLG4OZCQQAAAAwApJAAAAAACMgCQQAAAAwApJAAAAAACMgCQQAAAAwApJAAAAAACMgCQQAAAAwApJAAAAAACMgCQQAAAAwApJAAAAAACMgCQQAAAAwApJAAAAAACMgCQQAAAAwApJAAAAAACMgCQQAAAAwApJAAAAAACMwUxKoqs6uqtuqan9VXbJJvedVVVfV3vk1EQAAAIDDdcgkUFUdleQNSc5JcnqSF1TV6evUe0ySlya5cd6NBAAAAODwzDIT6Iwk+7v79u6+L8nVSc5bp94VSV6b5BtzbB8AAAAAczBLEuj4JJ+eWj4wlH1TVT0tyYnd/Y45tg0AAACAOZklCVTrlPU3V1Y9Isnrk/yLQ+6o6sKquqmqbvrCF74weysBANg2YzAAIJktCXQgyYlTyyckuWNq+TFJvifJe6vqk0nOTHLdeg+H7u4ru3tvd+/dvXv39lsNAMDMjMEAgGS2JND7k5xWVadU1dFJzk9y3UMru/vu7j6uu/d0954kNyQ5t7tvOiItBgAAAGDLDpkE6u77k1yc5F1Jbk1yTXfvq6rLq+rcI91AAAAAAA7frlkqdff1Sa5fU3bZBnXPOvxmAQAAADBPs9wOBgAAAMCSkwQCAAAAGAFJIAAAAIARkAQCAAAAGAFJIAAAAIARkAQCAAAAGAFJIAAAAIARkAQCAAAAGAFJIAAAAIARkAQCAAAAGAFJIAAAAIARkAQCAAAAGAFJIAAAAIARkAQCAAAAGAFJIAAAAIARkAQCAAAAGAFJIAAAAIARkAQCAAAAGAFJIAAAAIARkAQCAAAAGAFJIAAAAIARkAQCAAAAGAFJIAAAAIARkAQCAAAAGAFJIAAAAIARkAQCAAAAGAFJIAAAAIARkAQCAAAAGAFJIAAAAIARkAQCAAAAGAFJIAAAAIARkAQCAAAAGAFJIAAAAIARmCkJVFVnV9VtVbW/qi5ZZ/0vVNVHq+pDVfU/q+rk+TcVAAAAgO06ZBKoqo5K8oYk5yQ5PckLqur0NdX+NMne7v4bSX4nyWvn3VAAAAAAtm+WmUBnJNnf3bd3931Jrk5y3nSF7v6j7v7asHhDkhPm20wAAAAADseuGeocn+TTU8sHkvzAJvV/Nsk711tRVRcmuTBJTjrppBmbuHVPfdnrj9i+d5J9v/LPF92EI05fAsDhe7jGYAAcWWO4PvrwP1t0C1bbLDOBap2yXrdi1YuS7E3yuvXWd/eV3b23u/fu3r179lYCALBtxmAAQDLbTKADSU6cWj4hyR1rK1XVs5NcmuRvd/e982keAAAAAPMwy0yg9yc5rapOqaqjk5yf5LrpClX1tCS/nuTc7v78/JsJAAAAwOE4ZBKou+9PcnGSdyW5Nck13b2vqi6vqnOHaq9L8ugk/62qbq6q6zbYHQAAAAALMMvtYOnu65Ncv6bssqn3z55zuwAAAACYo1luBwMAAABgyUkCAQAAAIyAJBAAAADACEgCAQAAAIyAJBAAAADACEgCAQAAAIyAJBAAAADACEgCAQAAAIyAJBAAAADACEgCAQAAAIyAJBAAAADACEgCAQAAAIyAJBAAAADACEgCAQAAAIyAJBAAAADACOxadAOA8fiRH331optwxL3n3ZcsugkACzOG83ziXL9KxnDMjuV4HUNfJkn2HrPoFrDkzAQCAAAAGAFJIAAAAIARkAQCAAAAGAFJIAAAAIARkAQCAAAAGAFJIAAAAIARkAQCAAAAGAFJIAAAAIARkAQCAAAAGAFJIAAAAIARkAQCAAAAGAFJIAAAAIARkAQCAAAAGAFJIAAAAIARkAQCAAAAGAFJIAAAAIARmCkJVFVnV9VtVbW/qi5ZZ/0xVfW2Yf2NVbVn3g0FAAAAYPsOmQSqqqOSvCHJOUlOT/KCqjp9TbWfTXJXd39nktcnec28GwoAAADA9s0yE+iMJPu7+/buvi/J1UnOW1PnvCRvHt7/TpJnVVXNr5kAAAAAHI5ZkkDHJ/n01PKBoWzdOt19f5K7k/z1eTQQAAAAgMNX3b15harnJ3lud/+jYfmnkpzR3T8/VWffUOfAsPyJoc6X1uzrwiQXDotPSXLbNtp8XJIvbmO7ZSTW1TOWOBOxrqqxxDqWOJMjG+vJ3b37CO2bLZjTGOzhMqbv31pjjj0Zd/xjjj0Zd/xjjj0Zd/wLGYPtmmHjA0lOnFo+IckdG9Q5UFW7kvy1JHeu3VF3X5nkyllavJGquqm79x7OPpaFWFfPWOJMxLqqxhLrWOJMxhXrmM1jDPZwGfMxOebYk3HHP+bYk3HHP+bYk3HHv6jYZ7kd7P1JTquqU6rq6CTnJ7luTZ3rklwwvH9ekvf0oaYYAQAAAPCwOeRMoO6+v6ouTvKuJEcluaq791XV5Ulu6u7rkvznJL9ZVfszmQF0/pFsNAAAAABbM8vtYOnu65Ncv6bssqn330jy/Pk2bUNLMZV5TsS6esYSZyLWVTWWWMcSZzKuWFkOYz4mxxx7Mu74xxx7Mu74xxx7Mu74FxL7IR8MDQAAAMDym+WZQAAAAAAsuaVIAlXVL1ZVV9Vxw3JV1a9W1f6q+lBVPX2q7gVV9WfD64KN97pzVNUVQxw3V9UfVNV3DOVnVdXdQ/nNVXXZ1DZnV9Vtw2dwyeJavzWbxLpSfZokVfW6qvrYEM/vVtXjhvI9VfX1qX5949Q2z6iqDw+fw69WVS0ugtltFOuw7mVDPLdV1XOnypfuGK6q51fVvqp6sKr2TpWvYp+uG+uwbmX6dK2qelVV/cVUX/7Y1Lp1415mq9BnrIaqetvU9+6TVXXz1LqV++6tp6p+fohxX1W9dqp8peMf23l3I7WF651VsZ3rglWynfHzqtjOOHPVLHQM1t07+pXJfz3/riSfSnLcUPZjSd6ZpJKcmeTGofzxSW4f/j12eH/somOYIcbHTr1/aZI3Du/PSvKOdeofleQTSU5NcnSSW5Kcvug4DjPWlerToe3PSbJreP+aJK8Z3u9J8pENtnlfkh8cPod3Jjln0XEcZqynD8fnMUlOGY7bo5b1GE7y3UmekuS9SfZOla9in24U60r16TpxvyrJL65Tvm7ci27vYca6En3mtXqvJP8uyWXD+5X77m0Q8w8n+cMkxwzLTxhL/GM6727yGcx8vbNKr2zxumDVXlsdPy+6vXOOfUvjzEW39wjEv9Ax2DLMBHp9kl9KMv3wovOSvKUnbkjyuKr69iTPTfLu7r6zu+9K8u4kZz/sLd6i7v7LqcVH5eBY13NGkv3dfXt335fk6kw+kx1vk1hXqk+TpLv/oLvvHxZvSHLCZvWHeB/b3X/Sk7PDW5L83SPczLnYJNbzklzd3fd2958n2Z/J8buUx3B339rdt81af8n7dKNYV6pPt2CjuJfZqvcZS2iYLfkPkrx1KFrF7956Lkry6u6+N0m6+/ND+VjiX8+YYt/K9c7K2MZ1wUrZxvh5ZWxjnLlqFjoG29FJoKo6N8lfdPcta1Ydn+TTU8sHhrKNyne8qvrXVfXpJC9MctnUqh+sqluq6p1V9dShbGnjTDaMdeX6dI2fyeQvGg85par+tKr+uKqeOZQdn0l8D1mFWFe9X6etcp9OG0OfXjxMzb6qqo4dylYpvoesYkwsv2cm+Vx3/9mwPJbj9MlJnllVNw6/R75/KB9L/GM5736LbVzvrJQtXhesslnGz2MwltgXGudM/0X8kVRVf5jkSeusujTJv8xkmty3bLZOWW9SvnCbxdndv9fdlya5tKpeluTiJK9M8sEkJ3f3PcP90dcmOS07OM5k27EuXZ8mh451qHNpkvuT/Naw7jNJTuruL1XVM5JcOyT4VjHWjWJaLwG9I2KdJc51rGyfrrfZOmU7uk/XOsTvnV9LckUmbb8ik9tSfiY7vC+3aRVjYgeb8ZzzgvzVLKBkhY7TQ5x7dmVy2/uZSb4/yTVVdWpWJP6xn3fnfL2zVOZ8XbB05jx+XipzHmeumoXGufAkUHc/e73yqvreTO4DvGUyMzgnJPlgVZ2RSabsxKnqJyS5Yyg/a035e+fe6G3YKM51/HaS30/yyukpkt19fVX9p+FhcRvFvyNsJ9YsYZ8mh461Jg+y/vEkzxpuB8ow1fuh6d4fqKpPZPIXwAM5+JaxperX9WLN5sfqjjyGt3D8Tm+zkn26gaXr07VmjbuqfiPJO4bFHX3e3aZVjIkdbIbfI7uS/L0kz5gqXpnjdLP4q+qiJG8ffn++r6oeTLLjx3yzGvt5d87XO0tlztcFS+cIjJ+XxhEYZ66Shca5Y28H6+4Pd/cTuntPd+/J5IN6end/Nsl1SV48PDn+zCR3d/dnMnmg2nOq6thhKulzhrIdrapOm1o8N8nHhvInDffGZ/hl8IgkX0ry/iSnVdUpVXV0kvMz+Ux2vI1izYr1aTJ54nuSX05ybnd/bap8d1UdNbw/NZPZXbcP8X6lqs4c+v3FSTbKku8oG8WaSb+eX1XHVNUpmcT6vizxMbyeVezTTax0n6555sBPJPnI8H6juJfZSvQZK+XZST7W3dO30a7id2891yb5kSSpqidn8qDQL2YE8Y/svHuQbV7vrIxtXBeslG2Mn8dgLLEvdAy28JlA23R9Jk+N35/ka0n+YZJ0951VdUUmH2qSXN7ddy6miVvy6qp6SpIHM/lfAV4ylD8vyUVVdX+Sryc5f8gQ319VF2eSDDkqyVXdvW8B7d6OjWJdtT5Nkv+YyZPt3z3k8m7o7pck+aEklw/9+kCSl0zFdFGSNyX5tkzuC37n2p3uUOvG2t37quqaJB/NZJrrP+3uB5JkGY/hqvqJJP8hye4kv19VN3f3c7OCfbpRrKvWp+t4bVX9zUym5H4yyc8lyWZxL6vuXubfJaym83PwrWAr+d3bwFVJrqqqjyS5L8kFw5hvDPGP5ry7ReuOjVfMlq4LVtCWx8+rYjvjzFWy6DFY/dWsMwAAAABW1Y69HQwAAACA+ZEEAgAAABgBSSAAAACAEZAEAgAAABgBSSAAAACAEZAEAgAAABgBSSAAAACAEZAEAgAAABiB/w/UuDQ5VeDYtQAAAABJRU5ErkJggg==\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAFkAAABYCAYAAACeV1sKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAALKUlEQVR4nO2cT2xc1RXGf2c8toMnNhjyx8YOIXGCcMQiFVVb6KaoqhSVBe2iqKnUVSQqUVCCCiEKEipZJWoSqFhEpAoiFRVtpXbRFV2gVEJCChAU2tAQYxlIneDEJLbs2MT2TG4XM997M/fNTJw43EnI+yRr/N679747Z7773XPPPe+Zc44UXy8yje7AzYDUyAGQGjkAUiMHQGrkAEiNHAALMrKZbTCzE2Y2aGbbrlWnvmmwq/WTzawJGAB+BAwD7wEbnXP/vXbd+2Ygu4C63wEGnXNDAGb2Z+ARoKaRM5mMy2azzM3NUaoDgP9Dt7S0AJDP5wG4dOlSZaez2Yr6Kqfz+Xw+uqa6mUymalu1ztf5DhXHzjn9Wa06CzFyD/C/suNh4Lt+ITN7DHgMoKmpiWXLljEyMoKOAQqFQkWd3t5egKjczMxMRbnbbrsNgNbWVgBGR0cBWLp0aXQsg09PTwOQy+UAmJycrLiXzquc3xf1UdA9hXw+H5GmFhZi5Gq/XEJ7nHP7gf0AZuZOnToVXWtrawPiL9jR0QHA0NBQ1RvqC3/55ZcV59vb2yvakYEBlixZUlFHo+Suu+4C4PTp0xVt+0auZXT/x6qHhUx8w8CKsuNe4PQC2vvGYiETX5bixPdD4BTFie8XzrmPatXJZDKuubk5YtHg4GDFdbGk2pAEuOeeewA4duwYEDPYZ1VbWxudnZ0ACWmanZ2t2jcxXqNBn37fxGx/FH4tmuycy5vZE8A/gSbg1XoGvplx1Uy+GojJYury5csBGB8fB5JaK/gskq7WQmtra8Ru1fWZJ/jM9KHyGhljY2MV19vb25mamqJQKNRkcrriC4CgTDazipuJZWKJGP7aa68BJNgoz6SrqwuA7du3A/Dxxx8DsHr1aqDoy/b19QFw6NAhIKnFPrN9fVefJiYmAFi5ciWQ9HyampooFAp1NTllcgAEZXJTU5PL5XKRFu/ZsweIdU6sWrGi6BnK++jp6QHglltuAWIN931YtdPR0ZFgqhY0anvz5s1AvJDxR00tL8JHW1sbFy9eTDW50QjK5L6+Prdz586INdJQeQsnT54EYtb5M7rKi1XS8AsXLgBULG+lpT7E0KmpKSBeHUqT9+3bB8Dx48cr+iJfvZafnWpyg7GQ2MVVQ6wRW6R70l4x19dcX1810z/33HMA3HHHHQAcPHiQ5uZmAL766isgjouoDd1T99Ko2LRpU8U9NSJ2794NxB6O0NPTw9mzZ+t+35TJARCUyWZGNpuN9FA6Jx/06NGjFcdivB9lE+vWrl0LxGyUhm/YsCGKc6jNF198EYgZLShmIW3WaNK91NcdO3ZUXN+4cSOQZHY1pEwOgKBMnpubY2RkJGJif38/kIwHiJGff/45kGSs6kuzxXR5KTMzM5Feq6yYqID/p59+CsCBAwcq7im9l2Zrdal2dP2FF14AYNeuXakmXw8IymTnHPl8Plp1iZnaNhK0CvM9gloegvzuM2fOAEVfVhorBupT3obw5JNPAvDyyy9XtOl7Nr7vrr7s2LEjGiW1kDI5ABriJ8uHFcRosWXx4sVAHKPQdcUV5A+L8WKXrkujq0H3eOCBB4B4j09sfPPNNwE4ceJERV/PnTsHxAwujz/7m60+UiYHQFAmt7S00NvbG2mqfE7Nzlpd1YpViFXKkXjqqacqyq9ZswYosk7skh+srX95LB9++CFQmUYAsH79egDeeOMNIJlnoZFQvmOiHI9aSJkcAEGZXCgUmJiYSETCpHP+p9joxyHK8yoA7r33XiCOZeRyuUT0bGBgoKKOrg8PDwOxz65I4OOPPw7EXkf5dyjv29jYWMIT8RF8Wd3a2hp9QRlLRtViQp0uD8IDLFq0CIhdNrllfhhydnY2khr9MKqje+i6Nm/16U+emuAkO+pTefnLGTmViwAIyuRsNktnZ2cUVBE7NOmImbUmG2Hr1q1AzCrV10Ta2dkZXdNket999wHxhPXJJ59EZcshVqqP/mQspmskDA0NJRImfaRMDoCgTM7n84yOjkZsuHjxYrETJW0WY6XBvrsknZTOKnAkfRQrp6enE1v6mvi2bSvmqr/++usAPPzwwwC88sorQOzq6brqK1CkEaDjjo6OdDFyPSAokzOZDLlcrqZrJmhDVCzSgkHulZit7Svf5YPYnfM19/DhwwBs2bIFgJdeegmIc6KffvppIPYqNE/46Qrq+9TUVGIOSXzvuldTXBM0JEAkhvoskXeg1FgdS5vFPjFXixnVF3s7OjqituUVyJfWsnrXrl1Aclvp/vvvB+DIkSNAPDrUB5WTT97f3x/577WQMjkALstkM1sB/BHoAi4B+51zvzez24G/AHcDnwGPOufGarVTaovm5ubEik36J/YoSCP2iG3aYFVit78UVvmurq6ojDwQMfTBBx8EkhuqmgfefvttIGa+H/Q/f/58Rb3R0dGEH+9jPkzOA79xzvUD3wN+bWbrgG3AW865tcBbpeMUVXBZJjvnvgC+KP0/aWbHKT759Ajwg1Kxg8C/gGfrtbVo0SLWrVsXhSqlzdI36Z1WcO+++y4Q+8e+zmrVVc5gQdtK0mu/rNpSH5TM6G8oqJxGglJx5bX4nlE1XJEmm9ndwLeAw8Dy0g+gH2JZjTqPmdn7Zva+P9RuFszbuzCzxcDfgC3OuYnLBaqF8kfMVq1a5aR5EG8jdXd3A7Gv+s477wAx67Qq08rw+eefB+Chhx4C4iRB1YOY7fJr1ZZ8Wj8lVqPLZ7quK86ie4rRpQTwujaYF5PNrJmigf/knPt76fQZM+suXe8G6icf3MS4bOqsFSl7EDjvnNtSdv53wDnn3M7Sw+u3O+e21mtrzZo1bu/evYm01loPJCqO4D/w6M/m/qNpExMTCe/Bj2H7abnqkz799N7yuAjEPnoul+OZZ55hcHBwQY+YfR/4JfAfMztaOrcd2An81cw2ASeBn82jrZsSQZPAc7mc6+/vT3gLgvxknVccQf6wfFnN6H6SS/nz0bUiY35Z/9EyjSox309m1OezzxYdqcnJSc6ePcvs7GyaBN5INOTBHMHfd/PTtbQ7IfZIB/3kPz1GrAQUlYPYBxeztUOiCJ6fvHjnnXcC8SpS9dVH9V+e0fj4OOPj48zNzaVMbiQaEoWTxipqphldKz3/4Rcx2ddP6aWiYOW7GH7CuB5rU4RPbfm71hoN6oMSZnzMZ6UnpEwOgIY+9qtYhbTXz4mQLop1SuAWlCorn1jxh1tvvTUqIy0WsxVd03zgP+6rUaYonu9v67xG3erVqxkYGGB6ejrV5EYiKJNbW1tdb29vYsXmPzom+Ptz/m62NFiegUbGyMhItEoU2wVf18VMeR2C/6CORpt2Vsq1fHh4mJmZmZTJjURoTR4FpoDqbw+5MbCEZP9XOueWVisMgY0MYGbvO+e+HfSm1xBX0/9ULgIgNXIANMLI+xtwz2uJK+5/cE2+GZHKRQCkRg6AYEa+EV9obWYrzOyQmR03s4/MbHPp/G/N7JSZHS39/bhuOyE0+UZ9oXVpF77bOfeBmbUDR4CfAI8CF5xzu+fTTigmRy+0ds7NAnqh9XUN59wXzrkPSv9PAsqeuiKEMnK1F1pfcWcbCS97CuAJM/u3mb1qZp01KxLOyPN6ofX1Cj97CtgH9AHrKeYJ7qlXP5SRb9gXWlfLnnLOnXHOFZxzl4A/UJTDmghl5PeAtWa2ysxagJ8D/wh076tGKXvqAHDcObe37Hx3WbGfAsfqtRNkI/UGfqF1reypjWa2nqLkfQb8ql4j6bI6ANIVXwCkRg6A1MgBkBo5AFIjB0Bq5ABIjRwA/wd1jrfl/iCWzQAAAABJRU5ErkJggg==\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAFkAAABYCAYAAACeV1sKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAMAklEQVR4nO2cbWyV5RnHf1ePpxZKgZa2tAJSpFBHYmQGt8ZFgx9mcCYKISPDZC4yI1E0I85kZgkJX0xm7IiLIgkL6qZLtiXMgC9xJjq+GCUwglRQkNSW0RUoQi2tfbGn9z6c/p/nnOf0tIV2d3l5/gk5POe533qd//2/r+u67+cx5xwx/r8omOwBXAuIjewBsZE9IDayB8RG9oDYyB4wLiOb2QozO2pmx83smYka1NUGu1Q/2cwSwDHgx8BJYB+w1jl3ZOKGd3XgunHU/QFw3DnXBGBmfwUeAPIa2cyG/UWvuy49jIGBgWHrFRSkJ5wIoU99Pzg4CEBRUREAvb29OW0UFhZmlc3XVzKZBOC7776Ljn3YMQ0ODuKcwzmXXSAD4zHyHOA/GdcngR9GC5nZo8CjIzVUVlYGwJkzZ4a9X1xcDITGkwGmTJkCQHd3NwC1tbUAHDlyJDCmUFVVldXG2bNns+6rfGVlJQCtra1Z90WE6Ji6u7vz/mBB3RHvjozhfrkcpjrntgPbIT+To8YVm/SHdHR0ACFTZWSVE44fPx7Umz59OhAa68SJE0D4Q5w/fz6rrZKSEgASiURW3/oBVe7GG2/Mam8sGM/CdxKYl3E9F/jvONq7ajEeJu8DFpnZAqAV+Bnw4Fgqakpqyoo9UR0Ug6V/s2bNAqCtrQ0IWRZl1/Tp0+ns7By273xTWzJSWlqa1VZNTU3WdSqVyqo3c+ZMLly4kO9PBcZhZOfcgJk9AfwTSACvOOcOX2p7VzMu2YW7FCQSCVdcXMycOXMA+OKLL4BQJ1988UWAgIXSVTG2v78fCNmmclOnTs36TKVSgT5v2bIFgAULFgDw6aefAqG+qw3Nmiii2qxZpdmXSCTo6+tjcHAwr3cRR3we4JXJixcvdlu3bg3Y09PTA2SzAmD27NlA7oovXRQrBWm0fOFUKsXJkyeBkImC2tKsWLJkCQAPP/wwAEePHgVCja6rqwPgs88+A9IanNmXPKOR/OSYyR7glcm1tbWuoaEhJ7gQq66//nogdPylySovxsrHLS8vB0J9FUu7u7sDDVVdMU99qW9FcupT5e6///6s8vJ8pMkaW29vb6zJlwPG4ydfNAYGBjh//nzAAjFSkFbffvvtQKiPYpdYJ80WyzZu3AjAl19+CUB9fT1HjqRTKIr4pO8vv/wyADfffHNWnxqTrt944w0g9M0feeQRINcLyeeVZCJmsgd41eQ5c+a4DRs2BBGaEjxikSAG19fXA6EWy79WhKWIUVHY+vXrgbROKq8h7VWUKW/gnnvuAeCjjz4CYOfOnUDIZGl5X18fAAsXLgRgxYoVOe2dOnWKvr6+WJMnE141OZlMUl1dzfz58wH45ptvgJCR06ZNA+DOO+8EQlZ1dXUB2Ss6hGyLZs46OjpycgyaNbfccgsA+/btA2Dp0qUAPPTQQwAsWrQIgGeffTarbc2AV199FYDVq1cDaa9jtFRnzGQP8MrkgoICkslkwCpprxgoRktPldMQg6M53Gg0p+vKysrA81CyXkl5+blz584FQo/l66+/BuCuu+4C4L777gPg9ddfB8LsncYiRm/atCnIk+T9u0e8G2NC4JXJiUSCmTNnBnqovIFYpxX//fffB8KdDmlwdXU1kOtfNzY2AqFuFhcXBxGfdH7t2rUAPPfcc0C45RVltmaRchY7duwA4Kmnnsoai/zn2traIE+SDzGTPcArk51zDAwMBAyWBis/vHv3biBkizwEeRlijyJAabCYpHLd3d2BX6s+xGDNArH+1ltvzWpjz549QDjLFNHJE5I2y+tYt25dkKHLh5jJHuCVyYODg/T09ASMfPPNN4EwihKUmxBTlSETe4T29nYAGhoagJCVbW1twa6LchTNzc1AGDUqpyHtlgZH8yVCRUXFsH2PBTGTPcArk4uKiqirqwt0bt26dQC0tLQAIVOjuw7RSE948MH05rg8BO2YNDU1BWXE2DvuuCOrLzFakP5nzobMsSgrpzxz5mGX6OmiKLwaOZVK0dHREcjAe++9B4TGkTGVhNcU1oImo69ZswbIXbSU3pw1axbLli0D4OOPPwZCdzDTzQNYtWoVAG+//XbWffUp47/00ktAaGTdLy8vH9XIsVx4gFcm9/X10dLSEjB25cqVQBgui11ys7S4ZG71Qygbe/fuBcIAQjPg3nvvDSRDfSmQiZ6bk9sYTRwpHFfQcu7cuaw+FEB1dnbmJKOiiJnsAd7D6swEvRisBLhYpk/po7R58+bNAIHeKtCQy/fVV18B8M477wTsUris2aFFUm6jghQtcGpT9WbMmAGEuq+xqXxRUVHQZj7ETPYA72F1f39/kLTRqixN1cERQVv+YqXYGE0YSZu1WZpMJoO2MtOfEDJ0165dACxfvhwIt6G0NSZo++mFF17IGoPc0MLCwpyz0FHETPYA75pcUlISsEB6J/9WDFfCSIHD448/DoSsjLI0iqqqqsAbUNtisg6pyEs4depUMDaAu+++GwjD602bNmXVUzsaW2lpaU64H0XMZA8YlclmNg/4M1AFDALbnXN/MLMy4G9ADdAMrHHOnc/XDqRX9qlTp/Ltt98CYfpQ2quVW7onps6blz7QL99Vh1g0I+TzygM4d+5c0IY2bZWU0tZXZlkIo0dFiO+++y4Ahw8fzupDhyRH842z/u4xlBkAfu2c+x5QD2wwsyXAM8AHzrlFwAdD1zGGwahMds61AW1D/79gZp+TfvLpAWD5ULE/AXuA34zWXiKRCPxa+aRi3U033QSE3oNyFGK4EkLSWdWX763Nz8bGxsDHFmP1qccTxGxBPrYSQSqvFOfBgweB8MiA1o0J95PNrAb4PrAXmD30A+iHqMxT51Ez229m+yUP1xrG7F2Y2TRgJ7DROdc5WuZJyHzErK6uzqVSqWBllxYrz6AVPbq5eeDAAQCef/55IDymJS8jupFZVFQURHSffPIJEOq38iD6/q233gJCX12egsrLj45GjJo97e3tE3O4xcySpA38F+fcP4a+Pm1m1UP3q4Hhn3SMMSbvwoAdwOfOuS0Zt3YDvwB+N/S5awxtkUwmAyZrZZcWK7MlNj399NNAmJuIRn7KaUT1dPXq1UEbOoQo70B9fPjhh0DoL2vWRB8CUiQoKLrTYZhkMjkhSfsfAT8HGs3s4NB3vyVt3L+b2S+BE8BPx9DWNQmvR2fr6urctm3bch6S1M6IWKQF8oYbbgBCfZQGa0tJLBSUGSspKQnaEuPETGmp/GXNDn2qXvQ4guppHdH3jz32GGfOnKG/vz8+OjuZ8MpkM3MFBQWBrsln1bWirieffHLY+mJulIXRDdb+/v6cLf3oQRoxUxum8mBee+01INwRkZYrVyFPRjspTU1NtLS00NvbGzN5MuGVyVOmTHE1NTXBwZPFixcDcOzYMSDcppcGR70NMTnKUvm4mQ/JKNcs5kVzDbrWrIh+LwZHj2DpsIyOBFRUVLB//346OztjJk8mJkWTh3v8AMKdDbFL3oQYrdyvfNrTp08DuQ+6Z7JWei0NVQ5CvrmiNeWLNRa1JeYq962s3qFDh4I+mpub6enpiZk8mfDK5GQy6crKygIfU4wWY8Wi6J6fdkzEOnkj0d1t6WhXV1egmcqH3HbbbUDoN2ces4VwVunIrHbENROiLylRuVQqxdatW2ltbY2ZPJnwrcntQDdwdrSylzHKyR3/fOdcxXCFwbORAcxsv3NumddOJxCXMv5YLjwgNrIHTIaRt09CnxOJix6/d02+FhHLhQfERvYAb0a+El9obWbzzOxfZva5mR02s18Nfb/ZzFrN7ODQv5+M2I4PTb5SX2g9tAtf7Zw7YGYlwL+BlcAaoMs51zCWdnwxOXihtXOuH9ALrS9rOOfanHMHhv5/AdDpqYuCLyMP90Lrix7sZCJyegrgCTM7ZGavmFnpSHV9GXlML7S+XBE9PQVsAxYCS0mfE/z9SPV9GfmKfaH1cKennHOnnXMp59wg8EfScpgXvowcvNDazApJv9B6t6e+Lxn5Tk/peNoQVgEjvovBy+MMV/ALrfOdnlprZktJS14zsH6kRuKw2gPiiM8DYiN7QGxkD4iN7AGxkT0gNrIHxEb2gP8BfvXQ7SZjq3sAAAAASUVORK5CYII=\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAABIEAAACcCAYAAADoMbuXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAVEElEQVR4nO3de5Bkd3Uf8O/RbgQOD0u2FoP1YOXKymbBD2BLwXE5yOElSCyFCnZJNgYnDgokMlUhNhGWEZTkxDySovxQwCIhgONYIRSPNUiRlWA5OLFAAiNACJFFQGktZF5CIF7KopM/+i7pHc3s9sz2bM/M/Xyqurbv7/7uvb9zf709p07f213dHQAAAAC2tuMWPQAAAAAA1p8iEAAAAMAIKAIBAAAAjIAiEAAAAMAIKAIBAAAAjIAiEAAAAMAIKAIBR6WqdlfVjQs47gur6hXH+rgAABtBVe2oqlur6oHH+LjnVNWVx/KYwPwoAgGHqKrvqaq3V9XXquozVfVzR9jksiT/5ii2T1UdX1Ufr6r9S9p/uqo+WlX3VNX/rqrdU6uvSPLsqnrYauIDANiIqurCqrqxqr5VVW+cYZOLkvzH7v7msP0DquoNVfWVqrqzql50mGP9YlV9e8ixDj7Omlp/WVV9pKoOVNXLp7ft7r1JHlNVP7KWOIHFUgQClro8yb1Jvi/Jzyd5bVU9ermOVfWIJD+V5B1r2X7Kryb53JJ970ryB0men+SEJH+UZG9VbU+SIeG5OslzVhMcAMAGdUeS30jyhiN1rKoHJHlukv801fzyJLuSPDKT/OzFVXX2YXbz59394KnHdVPr9iV5cZJ3r7DtHya54EjjBDYeRSDgO6rqQUn+QZKXdvc93f1nSfYm+YUVNnlKkg9OfQK12u1TVacneXaS31yy6mlJ3tvdf9bdB5K8MsnJSZ441ee6JH93dVECAGw83f227n5Hki/O0P1vJvlyd09fRf2cJJd1913dfUuS1yf5xTWO5U3dfXWSr67Q5brIwWBTUgQCpp2R5Nvd/YmptpuSrHQlzw8nufUotk+S30nya0m+saS9hsfS5cdMtd2S5EcPs28AgK3okBysqk5M8v2Z5F0HHSkHe2xVfaGqPlFVLz14tfWMbkmys6oeuppBA4unCARMe3CSu5e03Z3kISv0PyGHfkK0qu2r6plJtnf325dZfW2SJ1bVWVV1fCaFouOT/PWpPl9N8t0rjA0AYKtaLgdLDs3DDpfD/c9MPlh7WCZXcZ+fye35szp47BNWsQ2wASgCAdPuSbL0E52HZuVLge/KocnFzNsPt469KskvL7fj7v54Jve6/26SzyY5KcnHkkxf9vyQ3L/oBACw1S2XgyWH5mEr5nDdfVt3f6q77+vujyS5NMmzVnH8g8f+8iq2ATYARSBg2ieSbB++lPmgH01y8wr9P5zJLWBr2X5Xkp1J3ltVdyZ5W5JHDL9msTNJuvut3f2Y7v7eJC/L5IsOb5jax6Ny6GXPAABjcEgO1t13ZfKh2fRt8ofL4ZbqHHob/pE8Ksmnu/srq9gG2AAUgYDv6O6vZVKMubSqHlRVP5Hk3CS/v8Im1yZ5XFU9cA3bfzTJqUl+bHj84yR/NTy/PUmq6vFVta2qdiT5vSR/NFwhdNATM/mFMACATa2qtg851bYk26rqgYf5np73Jzmhqk6eantzkl+vqhOr6oeSPC/JG1c41tOr6vuG5z+U5KVJ3jm1/q8NYzkukw/4HlhV26Z2IQeDTUoRCFjqnyb5rkx+sv0Pk7ygu5f9FKm7/yrJezIp9Bxx+6r6yaq6Z9j2QHffefCR5EtJ7huWvz3s67cyucz41uHf5x08yJCYPCPJm+YTNgDAQv16Jj+UcVEmv5z6jaHtfrr73kwKPM+ean5Zkk8m+UySP03y6u7+b0lSVadV1T1VddrQ90lJPlxVX0tyVSYf4v3rqX29fjj++UkuHp5P/9rr+Zl8QAdsMtXdix4DsIlV1e5MCjFn9jF8Q6mqX05yane/+FgdEwBgoxiulH5vksd299JfWV3P4/50kl/o7p89VscE5kcRCAAAAGAE3A4GAAAAMAKKQAAAAAAjoAgEAAAAMAKKQAAAAAAjsH1RBz7ppJN6586dizo8ALDOPvCBD3yhu3csehwcSg4GAFvb4XKwmYpAVXV2kt9Ksi3Jv+/uVyzT52eTvDxJJ7mpu3/ucPvcuXNnbrzxxlkODwBsQlX1mUWPgfuTgwHA1na4HOyIRaCq2pbk8iRPSbI/yQ1Vtbe7PzbVZ1eSlyT5ie6+q6oedvTDBgAAAGBeZvlOoDOT7Ovu27r73iRXJjl3SZ/nJbm8u+9Kku7+3HyHCQAAAMDRmKUIdHKS26eW9w9t085IckZV/a+qun64fQwAAACADWKW7wSqZdp6mf3sSnJWklOSvLeqHtPdXz5kR1UXJLkgSU477bRVDxYAgNWTgwGwWdx35xmLHsIxcdzDP7GY487QZ3+SU6eWT0lyxzJ93tnd/7e7P5Xk1kyKQofo7iu6e09379mxw4+FAAAcC3IwACCZrQh0Q5JdVXV6VR2f5Lwke5f0eUeSn0qSqjopk9vDbpvnQAEAAABYuyMWgbr7QJILk1yT5JYkb+num6vq0qo6Z+h2TZIvVtXHkvxJkl/t7i+u16ABAAAAWJ1ZvhMo3X1VkquWtF0y9byTvGh4AAAAALDBzHI7GAAAAACbnCIQAAAAwAgoAgEAAACMgCIQAAAAwAgoAgEAAACMgCIQAAAAwAgoAgEAAACMgCIQAAAAwAgoAgEAAACMgCIQAAAAwAgoAgEAAACMgCIQAAAAwAgoAgEAAACMwPZFDwAANqr77jxj0UNYd8c9/BOLHgIAAMeIK4EAAAAARkARCAAAAGAEFIEAAAAARkARCAAAAGAEFIEAAAAARkARCAAAAGAEFIEAAAAARkARCAAAAGAEFIEAAAAARkARCAAAAGAEFIEAAAAARkARCAAAAGAEZioCVdXZVXVrVe2rqosO0+9ZVdVVtWd+QwQAAADgaB2xCFRV25JcnuTpSXYnOb+qdi/T7yFJXpjkffMeJAAAAABHZ5Yrgc5Msq+7b+vue5NcmeTcZfpdluRVSb45x/EBAAAAMAezFIFOTnL71PL+oe07quqxSU7t7nfNcWwAAAAAzMksRaBapq2/s7LquCSvSfIvjrijqguq6saquvHzn//87KMEAGDN5GAAQDJbEWh/klOnlk9JcsfU8kOSPCbJdVX16SRPSLJ3uS+H7u4runtPd+/ZsWPH2kcNAMDM5GAAQDJbEeiGJLuq6vSqOj7JeUn2HlzZ3Xd390ndvbO7dya5Psk53X3juowYAAAAgFU7YhGouw8kuTDJNUluSfKW7r65qi6tqnPWe4AAAAAAHL3ts3Tq7quSXLWk7ZIV+p519MMCAAAAYJ5muR0MAAAAgE1OEQgAAABgBBSBAAAAAEZAEQgAAABgBBSBAAAAAEZAEQgAAABgBBSBAAAAAEZAEQgAAABgBBSBAAAAAEZAEQgAAABgBBSBAAAAAEZAEQgAAABgBBSBAAAAAEZAEQgAAABgBBSBAAAAAEZAEQgAAABgBBSBAAAAAEZAEQgAAABgBBSBAAAAAEZAEQgAAABgBBSBAAAAAEZAEQgAAABgBBSBAAAAAEZAEQgAAABgBBSBAAAAAEZgpiJQVZ1dVbdW1b6qumiZ9S+qqo9V1Yer6n9U1SPnP1QAAAAA1uqIRaCq2pbk8iRPT7I7yflVtXtJt79Isqe7fyTJW5O8at4DBQAAAGDtZrkS6Mwk+7r7tu6+N8mVSc6d7tDdf9LdXx8Wr09yynyHCQAAAMDRmKUIdHKS26eW9w9tK/mlJFcfzaAAAAAAmK/tM/SpZdp62Y5Vz06yJ8kTV1h/QZILkuS0006bcYir9+iXvGbd9r2R3Pyb/3zRQwAANoFjlYM97gXjyME++Fo5GACb0yxXAu1PcurU8ilJ7ljaqaqenOTiJOd097eW21F3X9Hde7p7z44dO9YyXgAAVkkOBgAksxWBbkiyq6pOr6rjk5yXZO90h6p6bJLfy6QA9Ln5DxMAAACAo3HEIlB3H0hyYZJrktyS5C3dfXNVXVpV5wzdXp3kwUn+a1V9qKr2rrA7AAAAABZglu8ESndfleSqJW2XTD1/8pzHBQAAAMAczXI7GAAAAACbnCIQAAAAwAgoAgEAAACMgCIQAAAAwAgoAgEAAACMgCIQAAAAwAgoAgEAAACMgCIQAAAAwAgoAgEAAACMgCIQAAAAwAgoAgEAAACMgCIQAAAAwAgoAgEAAACMwPZFDwAO5+885RWLHgKsynuuvWjRQwAAGJ2n/K3fWPQQmJNr3rboEWxtrgQCAAAAGAFFIAAAAIARUAQCAAAAGAFFIAAAAIARUAQCAAAAGAFFIAAAAIARUAQCAAAAGAFFIAAAAIARUAQCAAAAGAFFIAAAAIARUAQCAAAAGAFFIAAAAIARmKkIVFVnV9WtVbWvqi5aZv0Dquq/DOvfV1U75z1QAAAAANbuiEWgqtqW5PIkT0+yO8n5VbV7SbdfSnJXd/+NJK9J8sp5DxQAAACAtZvlSqAzk+zr7tu6+94kVyY5d0mfc5O8aXj+1iRPqqqa3zABAAAAOBqzFIFOTnL71PL+oW3ZPt19IMndSb53HgMEAAAA4Ohtn6HPclf09Br6pKouSHLBsHhPVd06w/FXclKSLxzF9pvFinHWK150jIey7kY/p1vQ6GKtesmix7HeRjenix7E+qv1jPOR67RfVmnOOdgYHPb/Rb1uy+Vg62Uk76PrznmcH+dyPtb1PG57xHrteaNZTA42SxFof5JTp5ZPSXLHCn32V9X2JN+d5EtLd9TdVyS5YoZjHlFV3djde+axr41sLHEm44l1LHEmYt2KxhJnMp5YxxLn2M0zBxsD/y/mw3mcD+dxfpzL+XAe52NR53GW28FuSLKrqk6vquOTnJdk75I+e5M8d3j+rCTv6e77XQkEAAAAwGIc8Uqg7j5QVRcmuSbJtiRv6O6bq+rSJDd2994k/yHJ71fVvkyuADpvPQcNAAAAwOrMcjtYuvuqJFctabtk6vk3k/zMfId2RGO5pHkscSbjiXUscSZi3YrGEmcynljHEieshv8X8+E8zofzOD/O5Xw4j/OxkPNY7toCAAAA2Ppm+U4gAAAAADa5TVMEqqpfqaquqpOG5aqq366qfVX14ap63FTf51bV/xkez115rxtLVV02xPKhqvrjqvr+of2sqrp7aP9QVV0ytc3ZVXXrcB4uWtzoZ3eYOLfinL66qj4+xPP2qjphaN9ZVd+YmtPXTW3z+Kr6yHAefruqanERzGalOId1LxliubWqnjbVvuleu0lSVT9TVTdX1X1VtWeqfUvNabJyrMO6LTWvB1XVy6vqL6fm8RlT65aNeTPb7PMF8za294D1tpr8nftbS87M/a0lT+X+1pIXsrKF5mDdveEfmfz8/DVJPpPkpKHtGUmuTlJJnpDkfUP79yS5bfj3xOH5iYuOYcY4Hzr1/IVJXjc8PyvJu5bpvy3JJ5P8QJLjk9yUZPei4ziKOLfinD41yfbh+SuTvHJ4vjPJR1fY5v1Jfnw4D1cnefqi4ziKOHcPr8sHJDl9eL1u26yv3SGmRyX5wSTXJdkz1b6l5vQIsW65eZ2K7eVJfmWZ9mVjXvR4jzLWTT9fHh7zfozpPeAYnMuZ83ePFc/hqnJmjxXP46ry1EWPd6M+VpsXLnq8G/mx6Bxss1wJ9JokL04y/QVG5yZ5c09cn+SEqnpEkqcluba7v9TddyW5NsnZx3zEa9DdX5lafFAOjXc5ZybZ1923dfe9Sa7M5LxsaIeJcyvO6R9394Fh8fokpxyu/xDvQ7v7z3vyDvHmJH9/nYd51A4T57lJruzub3X3p5Lsy+R1uylfu0nS3bd0962z9t+sc5ocNtYtN68zWCnmzWwrzxfM21Z8D1hvq8nfWcYacmaWsYY8lWWsIS9kZQvNwTZ8Eaiqzknyl91905JVJye5fWp5/9C2UvumUFX/qqpuT/LzSS6ZWvXjVXVTVV1dVY8e2jZtrCvEuSXndMo/yuRTm4NOr6q/qKo/raqfHNpOziS+gzZjrNNxbvU5XWqrzulSW31eLxwuGX9DVZ04tG2V2KZtxZhgHsbyHrBu1pC/s4JV5swc2Sx5KqvjPK7eQs/ZTD8Rv96q6r8nefgyqy5O8muZXMJ3v82WaevDtG8Ih4u1u9/Z3RcnubiqXpLkwiQvS/LBJI/s7nuGe9PfkWRXNnCsa4xzS87p0OfiJAeS/MGw7rNJTuvuL1bV45O8YyjubdhY1xjnSvEsV4DeEHEms8W6jE03p8maY92U83rQEf7mvDbJZZmM+7Ik/zaThHFDz+MabcWY4Ii8B8zHnPP30Zpzzjxac85TR2vOeSErW+g52xBFoO5+8nLtVfXDmdxXeFNNvkf1lCQfrKozM6mWnTrV/ZQkdwztZy1pv27ug16jlWJdxn9O8u4kL5u+FLS7r6qqfzd8wd5K52Dh1hJntuic1uSLrP9ekicNtwOlu7+V5FvD8w9U1SeTnJFJrNO3jG2aOV0uzhz+NbohX7vJql6/09tsujlN1hZrNum8HjRrzFX1+iTvGhY37PvtUdiKMcEReQ+Yjznn76M155x5tNYhTx2ldcgLWd5Cz9mGvh2suz/S3Q/r7p3dvTOTk/W47r4zyd4kzxm+Hf8JSe7u7s9m8gV0T62qE4dLeJ86tG14VbVravGcJB8f2h9ew1/R4Q/ocUm+mOSGJLuq6vSqOj7JeZmclw1tpTizNef07CT/Msk53f31qfYdVbVteP4DmVzZddsQ71er6gnDnD8nyUpV9w1jpTgzmdPzquoBVXV6JnG+P5v0tXs4W21Oj2DLzuuS71R4ZpKPDs9Xinkz2/TzBfM2sveAdbHG/J1lrCFnZhlryFNZHedx9Raag22IK4HW6KpMvhl/X5KvJ/mHSdLdX6qqyzI5sUlyaXd/aTFDXLVXVNUPJrkvk19SeP7Q/qwkL6iqA0m+keS8oYJ9oKouzKQgsi3JG7r75gWMe7VWinMrzunvZvJN+dcOdbzru/v5Sf52kkuHOf12kudPxfSCJG9M8l2Z3LN89dKdbkDLxtndN1fVW5J8LJPLb/9Zd387STbpazdV9cwkv5NkR5J3V9WHuvtp2XpzumKsW3Fep7yqqn4sk0tyP53knyTJ4WLerLp7s/4NgfU0mveABVk212NFq8qZWdGq81Tuby15IctbdA5W//9qOAAAAAC2qg19OxgAAAAA86EIBAAAADACikAAAAAAI6AIBAAAADACikAAAAAAI6AIBAAAADACikAAAAAAI6AIBAAAADAC/w/zuGNHMTrQIwAAAABJRU5ErkJggg==\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAABIEAAACcCAYAAADoMbuXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAXXklEQVR4nO3df7DldX3f8efL3WHJICi4SwSWzS7TJXXFKrpBp8bGACow7W6TqFkSK1ZGpmZI2pi0WQpFB6aTiOk40xlaS6IVbCISI2YT1wBRtGmmIIv8kAVWLwTLdRVQkQR/QCnv/nG+F8+ePefec+8995695/t8zNy53x+f8z2f9+d8vt/v577v9/s9qSokSZIkSZI02Z437gpIkiRJkiRp6ZkEkiRJkiRJagGTQJIkSZIkSS1gEkiSJEmSJKkFTAJJkiRJkiS1gEkgSZIkSZKkFjAJJGmkkmxJsmcJtrsmyf1Jjh31tiVJkla6JOuS7Ety+Ii36xhMmiAmgSTNKskxSa5P8v0kX0/yK3O85HLg97tef2GSPUmeSvLRId7vN5N8K8kTST6SZA1AVT0FfAT4nUWEI0mStCLMdwwF7AT+e1X9qHn9mmYs9XfN2Oo9c7yfYzCpBVJV466DpENYko/TSRifD7wC+Azwj6tqb5+yxwF7geO7BiC/CDwLvAn4iap6xyzv9SbgGuB0YD9wPXBLVe1s1q8H7gROaAYkkiRJE2meY6g1wDeAV1TVdLPsd4GfBbYBLwZuBt5RVX/Z5/WOwaSW8EogSQMlOQL4JeA/VNWTVfW/gF3AvxjwkjcAX55JAAFU1aeq6tPAd4Z4y/OAD1fV3qp6nM5VRe/o2tY08DjwmoXEI0mStFLMcwz1auB7MwmgxtuBy6vq8aq6D/gDusZVPRyDSS1hEkjSbE4G/l9VfbVr2V3ASweUfxmwbxHv99Jm+93v9ZNJXtS17D7g5Yt4D0mSpElzwBgsydHA8Rw8rho0hnMMJrWESSBJs3k+8ETPsieAIweUfyHw9yN8v5np7vf7++Z9JEmS1NE7Bnt+87t3XDVoDOcYTGoJk0CSZvMkcFTPsqMYnOh5nMGDi4W838x09/sdCXxvEe8hSZI0aXrHYE82v3vHVYPGcI7BpJYwCSRpNl8FVifZ3LXs5XQe/tzP3XRuIVuovRx4mfHLgUeqqvte+Jdw4OXKkiRJbXfAGKx5rs83OXhcNWgM5xhMagmTQJIGqqrvA58CLktyRJLXAtuBjw14yU3AK5McPrMgyepmfhWwKsnhSVYPeP01wPlJtjT3sl8CfLRrWycAxwC3LDI0SZKkQ9o8x1BfAl7YjJVmXANckuToJP8QeBdd46oejsGkljAJJGkuvwb8BPAo8HHg3f2+Hh6gqh4BPk8nUTTjEuCHwE7gbc30JQBJNiR5MsmG5vV/CVxB5ytMv978vLdrW78CXO1Xk0qSpBYYOIbqVVVP00navK1r8XuBB+iMp74IfGDm6+Edg0ntlaoadx0kTZAkW4CrgdNqhAeYJGvoXIL8T6rq0VFtV5IkaRIkWQf8NXBqVf1whNt1DCZNEJNAkiRJkiRJLeDtYJIkSZIkSS1gEkiSJEmSJKkFTAJJkiRJkiS1gEkgSZIkSZKkFlg9rjdeu3Ztbdy4cVxvL0mSltjtt9/+7apaN+566ECOwSRJmmyzjcHGlgTauHEje/bsGdfbS5KkJZbk6+Ougw7mGEySpMk22xjM28EkSZIkSZJawCSQJEmSJElSC5gEkiRJkiRJaoGxPRNIkqRD3bPfOnncVVhyz3vxV8ddBUmSJC0TrwSSJEmSJElqAZNAkiRJkiRJLWASSJIkSZIkqQVMAkmSJEmSJLWASSBJkiRJkqQWMAkkSZIkSZLUAiaBJEmSJEmSWmCoJFCSs5LsSzKVZGef9RuS3JzkjiR3Jzln9FWVJEmSJEnSQs2ZBEqyCrgSOBvYApybZEtPsUuA66rqVGAH8F9GXVFJkiRJkiQt3DBXAp0GTFXVg1X1NHAtsL2nTAFHNdMvAPaProqSJEmSJElarNVDlDkBeLhrfhp4dU+Z9wE3Jvl14AjgzJHUTpIkSZIkSSMxzJVA6bOseubPBT5aVeuBc4CPJTlo20kuSLInyZ7HHnts/rWVJEnSvDkGkyRJMFwSaBo4sWt+PQff7nU+cB1AVf1v4HBgbe+GquqqqtpaVVvXrVu3sBpLkiRpXhyDSZIkGC4JdBuwOcmmJIfRefDzrp4y/wc4AyDJS+gkgfw3kyRJkiRJ0iFiziRQVT0DXAjcANxH51vA9ia5LMm2pthvAe9KchfwceAdVdV7y5gkSZIkSZLGZJgHQ1NVu4HdPcsu7Zq+F3jtaKsmSZIkSZKkURnmdjBJkiRJkiStcCaBJEmSJEmSWsAkkCRJkiRJUguYBJIkSZIkSWoBk0CSJEmSJEktYBJIkiRJkiSpBUwCSZIkSZIktYBJIEmSJEmSpBYwCSRJkiRJktQCJoEkSZIkSZJawCSQJEmSJElSC5gEkiRJkiRJagGTQJIkSZIkSS1gEkiSJEmSJKkFhkoCJTkryb4kU0l2Dijz1iT3Jtmb5I9HW01JkiRJkiQtxuq5CiRZBVwJvAGYBm5Lsquq7u0qsxm4CHhtVT2e5NilqrAkSZIkSZLmb5grgU4Dpqrqwap6GrgW2N5T5l3AlVX1OEBVPTraakqSJEmSJGkxhkkCnQA83DU/3SzrdjJwcpK/SXJLkrNGVUFJkiRJkiQt3py3gwHps6z6bGcz8HpgPfDXSU6pqu8dsKHkAuACgA0bNsy7spIkSZo/x2CSJAmGuxJoGjixa349sL9PmT+rqv9bVX8L7KOTFDpAVV1VVVurauu6desWWmdJkiTNg2MwSZIEwyWBbgM2J9mU5DBgB7Crp8yngZ8HSLKWzu1hD46yopIkSZIkSVq4OZNAVfUMcCFwA3AfcF1V7U1yWZJtTbEbgO8kuRe4Gfi3VfWdpaq0JEmSJEmS5meYZwJRVbuB3T3LLu2aLuA9zY8kSZIkSZIOMcPcDiZJkiRJkqQVziSQJEmSJElSC5gEkiRJkiRJagGTQJIkSZIkSS1gEkiSJEmSJKkFTAJJkiRJkiS1gEkgSZIkSZKkFjAJJEmSJEmS1AImgSRJkiRJklrAJJAkSZIkSVILmASSJEmSJElqAZNAkiRJkiRJLWASSJIkSZIkqQVMAkmSJEmSJLXAUEmgJGcl2ZdkKsnOWcq9OUkl2Tq6KkqSJEmSJGmx5kwCJVkFXAmcDWwBzk2ypU+5I4HfAG4ddSUlSZIkSZK0OMNcCXQaMFVVD1bV08C1wPY+5S4HrgB+NML6SZIkSZIkaQSGSQKdADzcNT/dLHtOklOBE6vqL0ZYN0mSJEmSJI3IMEmg9FlWz61Mngd8EPitOTeUXJBkT5I9jz322PC1lCRJ0oI5BpMkSTBcEmgaOLFrfj2wv2v+SOAU4AtJHgJeA+zq93DoqrqqqrZW1dZ169YtvNaSJEkammMwSZIEwyWBbgM2J9mU5DBgB7BrZmVVPVFVa6tqY1VtBG4BtlXVniWpsSRJkiRJkuZtziRQVT0DXAjcANwHXFdVe5NclmTbUldQkiRJkiRJi7d6mEJVtRvY3bPs0gFlX7/4akmSJEmSJGmUhrkdTJIkSZIkSSucSSBJkiRJkqQWMAkkSZIkSZLUAiaBJEmSJEmSWsAkkCRJkiRJUguYBJIkSZIkSWoBk0CSJEmSJEktYBJIkiRJkiSpBUwCSZIkSZIktYBJIEmSJEmSpBYwCSRJkiRJktQCJoEkSZIkSZJawCSQJEmSJElSC5gEkiRJkiRJaoGhkkBJzkqyL8lUkp191r8nyb1J7k7yuSQ/NfqqSpIkSZIkaaHmTAIlWQVcCZwNbAHOTbKlp9gdwNaq+kfAJ4ErRl1RSZIkSZIkLdwwVwKdBkxV1YNV9TRwLbC9u0BV3VxVP2hmbwHWj7aakiRJkiRJWoxhkkAnAA93zU83ywY5H/jsYiolSZIkSZKk0Vo9RJn0WVZ9CyZvA7YCPzdg/QXABQAbNmwYsoqSJElaDMdgo3XPPfeMuwoakVNOOWXcVZDmxePP5BjX8WeYK4GmgRO75tcD+3sLJTkTuBjYVlVP9dtQVV1VVVurauu6desWUl9JkiTNk2MwSZIEwyWBbgM2J9mU5DBgB7Cru0CSU4H/RicB9OjoqylJkiRJkqTFmDMJVFXPABcCNwD3AddV1d4klyXZ1hT7APB84E+S3Jlk14DNSZIkSZIkaQyGeSYQVbUb2N2z7NKu6TNHXC9JkiRJkiSN0DC3g0mSJEmSJGmFMwkkSZIkSZLUAiaBJEmSJEmSWsAkkCRJkiRJUguYBJIkSZIkSWoBk0CSJEmSJEktMNRXxK80Z7/konFXYVl89r7fHXcVJEmSnnPPPfeMuwqSWsrjjzQcrwSSJEmSJElqAZNAkiRJkiRJLWASSJIkSZIkqQVMAkmSJEmSJLWASSBJkiRJkqQWMAkkSZIkSZLUAiaBJEmSJEmSWmCoJFCSs5LsSzKVZGef9WuSfKJZf2uSjaOuqCRJkiRJkhZuziRQklXAlcDZwBbg3CRbeoqdDzxeVf8A+CDw/lFXVJIkSZIkSQs3zJVApwFTVfVgVT0NXAts7ymzHbi6mf4kcEaSjK6akiRJkiRJWoxhkkAnAA93zU83y/qWqapngCeAF42igpIkSZIkSVq81UOU6XdFTy2gDEkuAC5oZp9Msq9r9Vrg20PUp01mbZPk95axKocE+8jBbJMD2R4Hs00OZpscIEvZHj+1RNvVPM0xBpuPtuw/bYkTjHUStSVOMNZJ1JY4YWljHTgGGyYJNA2c2DW/Htg/oMx0ktXAC4Dv9m6oqq4Crur3Jkn2VNXWIerTGrbJgWyPg9kmB7I9DmabHMw2OZDt0Q6zjcHmoy39pS1xgrFOorbECcY6idoSJ4wv1mFuB7sN2JxkU5LDgB3Arp4yu4Dzmuk3A5+vqoOuBJIkSZIkSdJ4zHklUFU9k+RC4AZgFfCRqtqb5DJgT1XtAj4MfCzJFJ0rgHYsZaUlSZIkSZI0P8PcDkZV7QZ29yy7tGv6R8BbFlmXRV+iPIFskwPZHgezTQ5kexzMNjmYbXIg20Pz0Zb+0pY4wVgnUVviBGOdRG2JE8YUa7xrS5IkSZIkafIN80wgSZIkSZIkrXDLmgRK8pYke5M8m2Rr1/JfTXJn18+zSV7R5/XvS/KNrnLnLGf9R22W9tiY5IddcX5owOuPSXJTkq81v49evtovjVna5A1Jbk/yleb36QNeP1F9BAa3SbPuoiRTSfYledOA129KcmvTTz7RPOB9IjTxzHzWDyW5c0C5h5q+c2eSPctdz+U07D6Q5Kym30wl2bnc9VxOST6Q5P4kdye5PskLB5Sb6H4y12eeZE2zT001x4yNy19LHSqSvCLJLTP7Q5LTmuVJ8p+bfnJ3kld2vea85lzztSTnDd76oWW2c8mg8+xKPoYm+fWm7nuTXNG1fGJine1cOElxdkvy20kqydpmfhL31cubWO5McmOS45vlExXrbOOWSeu/WcDfOSs11l5jjaOqlu0HeAnw08AXgK0DyrwMeHDAuvcBv72cdR5HewAbgXuGeP0VwM5meifw/nHHtIRtcipwfDN9CvCNNvSROdpkC3AXsAbYBDwArOrz+uuAHc30h4B3jzumJWqn/wRcOmDdQ8Dacddxmdphzn2AzkP+HwBOAg5r+tGWcdd9CdvkjcDqZvr9g46Vk9xPhvnMgV8DPtRM7wA+Me56+zPWPnMjcHYzfQ7wha7pzwIBXgPc2iw/Bniw+X10M330uONYQNzPnUsGnWdX8jEU+Hngr4A1zfyxkxjroHPhpMXZFdeJdL7E5+sz57FJ3FeBo7qmf6PrnDVRsTJg3DKJ/Zd5/p2zkmPtiXuscSzrlUBVdV9V7Zuj2LnAx5ejPuM2ZHvMZjtwdTN9NfDPF1+r8RrUJlV1R1Xtb2b3AocnWbO8tRuPWfrJduDaqnqqqv4WmAJO6y6QJMDpwCebRRPRT3o1cb6Vlhw7RuA0YKqqHqyqp4Fr6fSniVRVN1bVM83sLcD6cdZnTIb5zLvPKZ8Ezmj2LbVTAUc10y8AZs7B24FrquMW4IVJjgPeBNxUVd+tqseBm4CzlrvSi9HnXDLoPLuSj6HvBn6vqp4CqKpHm+WTGGs/kxrnB4F/R2e/nTFx+2pV/V3X7BH8ON6JinWWccvE9d8F/J2zYmPtMdY4DsVnAv0ys/8hd2FzadxHMgG3P81iU5I7knwxyesGlPnJqvomQPP72OWr3lj9EnDHzACmj7b0kROAh7vmp5tl3V4EfK/rRNKvzCR4HfBIVX1twPoCbkznVsILlrFe4zLXPjBM35lU76Tz38J+JrmfDPOZP1emOWY8QecYonb6N8AHkjwM/D5wUbN8UF+ahONK77lkEmM9GXhdOrd8fjHJzzTLJzHWfufCiYszyTY6V8jf1bNq4mIFSPIfm+PSrwIz31Y9kbE2usctkxxnr0mPdaxxDPUV8fOR5K+AF/dZdXFV/dkcr3018IOqumdAkf8KXE5noH45nUt237mI6i65BbbHN4ENVfWdJK8CPp3kpT3Z7xVrkX3kpXQui3zjgCIrro/Agtuk33/oe7/ub5gyh7Qh22auKwhfW1X7kxwL3JTk/qr6n6Ou63KZrU0Ybh9Y8f2i1zD9JMnFwDPAHw3YzET1kx6tOF5ofuY4lpwB/GZV/WmStwIfBs5kcD85pPvPAs8lg2Lq90/UFRErnbH/0XRumfkZ4LokJ7ECY13guXDFxQlzxvrv6T8unsh9taouBi5OchFwIfBeVmCsCxy3TFz/XcDfOYd0rPMw1r458iRQVZ25iJfvYJY/5KrqkZnpJH8A/MUi3mtZLKQ9mitcZi7TvT3JA3T+c9P7oNJHkhxXVd9sLnl8lBVgoX0kyXrgeuDtVfXAgG2vuD4CC26TaTr3gM9Yz48v15/xbTqXxK5u/rPfr8whba62SbIa+EXgVbNsY3/z+9Ek19O5BHPF/nE/bH+ZZR8Ypu+sKEP0k/OAfwqcUVV9T7KT1k96DPOZz5SZbvarFwDfXZ7qaRxm22+SXAP862b2T4A/bKYH9aVp4PU9y78woqou2gLPJbPtN4fsMXSOz/XdwKea4+CXkjwLrGUFxrrAc+GKixMGx5rkZXSel3JXc/fueuDL6TzIfSL31S5/DHyGThJoxcW6wHHLRPXfOazIWOdhrGPxQ+Z2sCTPA95C5364QWWO65r9BWDQFUMrWpJ1SVY10ycBm+k8yKzXLmDmKffnAbNeRbOSNU/F/wxwUVX9zSzlWtFHGruAHel8o88mOv3kS90FmpPGzcCbm0WT2E/OBO6vqul+K5MckeTImWk6/y2b2H4x5D5wG7A5nW+OO4xOAn7XctRvHJKcBfwOsK2qfjCgzKT3k2E+8+5zypuBzw9KmKkV9gM/10yfDszcIrULeHs6XgM80dySfgPwxiRHN7fevLFZtlL0O5cMOs+u5GPop+l8niQ5mc4DSb/NhMU6y7lwouKsqq9U1bFVtbGqNtL5w/KVVfUtJnBfTbK5a3YbcH8zPVGxzjJumaj+O4dJj3W8cdTyPgX7F+gcnJ4CHgFu6Fr3euCWPq/5Q5onhQMfA74C3N000nHLWf/lag86z7zZS+cp4V8G/tmA9ngR8Dk6A7PPAceMO6YlbJNLgO8Dd3b9zHyjxcT2kdnapFl3MZ0ny++j+RaXZvlufvxtaifROWhO0flv7ppxxzTi9vko8K96lh0P7O6K/67mZy+dS0/HXu8lbI+++0B3mzTz5wBfbfrPpLfJFJ37rmeOHTPfJtKqftLvMwcuozPIBDi8OUZMNceMk8ZdZ3/G2l9+Fri92SduBV7VLA9wZdOPvsKB3+byzqb/TAH/ctwxzDPeg84lzfJB59kVeQylk/T5H3SSIl8GTp/EWAedCyctzj5xP8SPvx1s4vZV4E+bvns38OfACZMY66BxS7NuovovC/s7Z0XG2if2scWRpgKSJEmSJEmaYIfM7WCSJEmSJElaOiaBJEmSJEmSWsAkkCRJkiRJUguYBJIkSZIkSWoBk0CSJEmSJEktYBJIkiRJkiSpBUwCSZIkSZIktYBJIEmSJEmSpBb4//pamg+XfnSlAAAAAElFTkSuQmCC\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAFkAAABYCAYAAACeV1sKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAALNElEQVR4nO2cb2iV1x3HP7/cJOqNkWRNNG2sRm2kjkJrESuVwqCMjr3pBl2xkzHoqKNYmCBldbQotLSjbCt5taJMmDBQYWvnq/pCtr6ptNaqm06dIqkam5iowcRob+7N2Yt7v89z77n3JmniTrQ+Xwg3z5/ze85znu/5ne/5nd/zmHOOBP9f1Mx0Be4FJI0cAEkjB0DSyAGQNHIAJI0cANNqZDP7gZmdNrOzZvba7arUtw02VZ1sZingv8D3gYvAIeAF59x/bl/1vh2onUbZ1cBZ59w5ADPbDTwLVG3kmpoaV1tby+joaMXjZgaA/+BravIdbmxsrGTbRyqVAqho37fhX6uurg6AbDZbsQ61tfmmyuVyJft1nnPOKlaK6TVyO3ChaPsi8IR/kpltADZAvhFaW1vp6+urWGHdaCaTKdnf0NAAwNDQEACzZ88uOa7GbWxsBODSpUtllVWZkZGRitdqbW0FYGBgoGIdmpqaALh+/XrJ/lwuV3YfPqbTyJWeXJnvcc5tB7YDmJm7dOkS9fX1UQWBaFs3lk6ngZhV9913HxA3sqAGE/zjxbZ0bktLS4lt35aOa1s21fh6oBM1bDGmM/BdBB4s2l4IlFMowbSYfAjoNLMlQA+wDvjpuBerraWpqamsy82aNQuImfz1118DMVsGBwdLzhfLHnjgASBmmVhY7C7EPEG2fdbr2tqvHuCXV12L7d+4caPi/QpTbmTnXNbMXgH2Aylgp3PuxFTtfZsxZQk3FaRSKTd79uyIHWKkWFPJpxZD5/lMlz2xrKmpKbKtXlDNl8qmBjad71+j6B7KtkdHRxkbG6uqLpIZXwBMxydPG2KFWLNmzRoAnngirwQff/zxkvOlVa9evQrApk2bgFi6iXWLFi3ixIlSz+Uz8uGHHwbg1KlTQLlSqQa/9/hSrxISJgdAUJ9sZg5iFnzwwQcA9Pb2AjFT5VvFUG339PSU2JPWVTmdPzIyEvUOTWTkey9evAjAG2+8AZQrF6HYFpT3BN+HjzfjS5gcAEGZvGzZMvf2229H7GhubgZiRra1tQGwb98+AFavXg3AtWvXAGhvbwdi5kpvi2X6TafTURlpZ3/GJqiMmLt+/Xog9rXVzpdGHxwc5NatW+RyuYTJM4mgTO7o6HBbt26NtuUn/RFbrKoWy1BPePLJJwFYu3YtEPvHrq6uyI/7MzeVFdP9XqW6LFiwAICNGzcC0N3dDcQ9Y+7cuQAMDw8zODjI6OhowuSZRFAmt7e3u5dffjkamZcvXw7EqmHRokUl50shVGOb/OzOnTsBOHnyJAB9fX0RE1X24MGDJb+y5Wt1MV/hWMUlpFJ2795dcrynpydh8p2AoDO+VCpFY2NjxArpY7FOzJSKEFvki8UyP1r32WeflV1L/llln376aSCOj4j9vkKRclEdVF7lXnzxxZK6v/XWWxPed8LkAAjK5Lq6Otra2sq0p/zjvHnzADh37lzJtr+KofJim69GADo7OwE4f/48UB7h27ZtGwBnzpwBYMeOHUCsOvxrSq3o2tL0W7du5d133x33vhMmB0BQJmcyGXp6eiKW+ZpVflHMrjZr07aOy3c/8sgjQN5Xy2dKz+r38uXLQLxwKhtbtmwBYoarB+hafjxFv+l0umy1xEfC5ACYEXUhlvmxCH+FWCwSU3W+VIVGeqkT6eR0Oh31Ctl86aWXAHj//fcBOHr0KABLly4FYpWxefNmIFYfgnyw7Erbp1KpKJejGhImB0BQJtfU1NDQ0FAWg5D/86NyOi6m+rOy+fPnA/HqtHpEOp2OcjnkOxXZU/RMUK965plnANi/fz8Ar776KgB79+4FYsWj3iWk0+mqGU1CcHfR1NQUdTndoJaCBA1waiDBdwGSbJWWgJQxdOFCPslJD0Y2u7q6AFi3bh0Au3btAuIHXS0p5vjx40AsLxN3cYcgKJOdc2QymYglfhKf3IFY4ieayAVoEBPjH3roIaB0MVSTDLkaQTYl2R599FEgdgeyoWt9+eWXACxevBiIZaLsqM7jIWFyAMxISoB8sUKb/gKpvyRUaXkJYl+sgVJy7NatW1WTESUD9avgUvHkAuDQoUMlx/v7+0vqvnDhwknfb8LkAAjuk7PZbNmyk78tP6cpr/zhRx99BMSTE6kSSUAtET333HMMDw8DcfKKpJsmHStXrgRiBmua/cknnwBxwEghAAWGdJ56gnz2eEiYHADBJyOzZs2KWCFWKcDiJ1yLqfKv7733HhCrCT8Fd9WqVUB+4iH/7DNV/v/jjz8GYM+ePUCsRrQtvay6+Dp7zpw5Ud0SnXwHYEImm9mDwC6gDRgDtjvnuszsO8AeoAPoBp53zl0bz9bo6Ci9vb1RsEXqQCO2IH8n1ilo488ApWX1e/r0aQBWrFgRMU1sf/3114G418jfK6ika/pJLX56r8YDndfS0hLp/WqYDJOzwGbn3ApgDbDRzL4LvAYccM51AgcK2wkqYEImO+e+Ar4q/D9kZifJv/n0LPC9wml/Bv4J/Ho8W6lUinnz5kXqQWzRwqqg4wcOHADi2ZkWLcUu+V2VF6M6Ozt58803ATh27BiQVxwAH374IRD7XD+hUJpbdVOqmFIJFMPQ8aGhodvrk82sA1gJfAosKDwAPYj5VcpsMLPPzexzf6C6VzBpdWFmc4G/Apucc9f1suFEKH7FbOnSpS6Xy0W+VfECMVK+WrpXyX8a4ZVo8s477wCxhvWD/AMDAxGD9WDFYD+65i95+SkChw8fBmDJkiUl+zWOjIyMTPi62aSYbGZ15Bv4L865vxV295nZ/YXj9wOXJ2PrXsRk1IUBfwJOOuf+UHRoH/Bz4LeF379Pwhb19fURMxVtk4oQI/24gxgqHy0GC/5LN42NjdH/6h2+bcVNpI/VezQe+Etk/mJv8eKpn+LgYzLuYi3wM+DfZna0sO835Bt3r5n9AjgP/GQStu5JBH/FrKGhIXrySqXSDO7s2bMl22LLU089BcRLRGKbn3AitjU3N5f4TIjjH4qmqRdNFA/2I35KlpR27+3tZWhoiGw2myQcziSCMrm+vt61trZGC59SGfKXipT5b/n75/nJLprxSSdns9nId/qROrHf1+r+6oufgO6/QqH96n3JizkzjKBMnjNnjuvo6Ij0sVSCRngxWUwVS/yVEsHXulrPGxwcLHv9TCpBzBWz5WPFcO3X2p98u+qiOuhatbW1dHd3c/PmzYTJM4mgTK6rq3NiDsT+Tcz18yf85G8pAvli+VXNGPU1luHh4YixmiVeuXIFiBkrJipad+TIEaBcg6uO1caLTCaTvM5wJyAok9PptFu+fHnZ6rRGdEGrGGKhmKteIMb7PlmMPnPmTGRTvUA2pZMF2dYMUL3Hf5VMGlzjiT7Zk8lk6O/vJ5PJJEyeSYR+gb0fuAEMBLvo7UcL5fVf7JxrrVYgaCMDmNnnzrlVQS96GzGV+ifuIgCSRg6AmWjk7TNwzduJb1z/4D75XkTiLgIgaeQACNbId+MHrc3sQTP7h5mdNLMTZvarwv5tZtZjZkcLfz8c104In3y3ftC6sAp/v3PuCzNrBA4DPwKeB4adc7+bjJ1QTI4+aO2cywD6oPUdDefcV865Lwr/DwHKnvpGCNXIlT5o/Y0rO5PwsqcAXjGzf5nZTjNrHq9sqEae1Aet71T42VPAH4FlwGPk8wR/P175UI18137QulL2lHOuzzmXc86NATvIu8OqCNXI0Qetzaye/Aet9wW69pRRLXtK6WkF/Bg4Pp6dIK8z3MUftK6WPfWCmT1G3uV1A78cz0gyrQ6AZMYXAEkjB0DSyAGQNHIAJI0cAEkjB0DSyAHwP2qP6AHSs0DYAAAAAElFTkSuQmCC\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Summary\n",
+      "Total images:  52\n",
+      "Predicted for:  52\n",
+      "Accuracy when predicted:  1.0\n"
+     ]
+    },
+    {
+     "data": {
+      "text/plain": [
+       "(52, 52.0, 52)"
+      ]
+     },
+     "execution_count": 26,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "test_batch(images[:52], labels[:52])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "colab": {
+   "name": "bnn.ipynb",
+   "provenance": []
+  },
+  "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": "3.7.4"
+  },
+  "widgets": {
+   "application/vnd.jupyter.widget-state+json": {
+    "072b3bef4c7743889d839ff5fc8d00b7": {
+     "model_module": "@jupyter-widgets/base",
+     "model_name": "LayoutModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/base",
+      "_model_module_version": "1.2.0",
+      "_model_name": "LayoutModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "LayoutView",
+      "align_content": null,
+      "align_items": null,
+      "align_self": null,
+      "border": null,
+      "bottom": null,
+      "display": null,
+      "flex": null,
+      "flex_flow": null,
+      "grid_area": null,
+      "grid_auto_columns": null,
+      "grid_auto_flow": null,
+      "grid_auto_rows": null,
+      "grid_column": null,
+      "grid_gap": null,
+      "grid_row": null,
+      "grid_template_areas": null,
+      "grid_template_columns": null,
+      "grid_template_rows": null,
+      "height": null,
+      "justify_content": null,
+      "justify_items": null,
+      "left": null,
+      "margin": null,
+      "max_height": null,
+      "max_width": null,
+      "min_height": null,
+      "min_width": null,
+      "object_fit": null,
+      "object_position": null,
+      "order": null,
+      "overflow": null,
+      "overflow_x": null,
+      "overflow_y": null,
+      "padding": null,
+      "right": null,
+      "top": null,
+      "visibility": null,
+      "width": null
+     }
+    },
+    "0ac986b68b1d4b07864fa5455a70e7e4": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "DescriptionStyleModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "DescriptionStyleModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "StyleView",
+      "description_width": ""
+     }
+    },
+    "0b36e5e82d31440d922b045471ee7adb": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "FloatProgressModel",
+     "state": {
+      "_dom_classes": [],
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "FloatProgressModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/controls",
+      "_view_module_version": "1.5.0",
+      "_view_name": "ProgressView",
+      "bar_style": "success",
+      "description": "",
+      "description_tooltip": null,
+      "layout": "IPY_MODEL_1cad8937372a428ea8d94429e79fefa5",
+      "max": 1,
+      "min": 0,
+      "orientation": "horizontal",
+      "style": "IPY_MODEL_deefd693611a485697895e786799a91a",
+      "value": 1
+     }
+    },
+    "0cded60f8ca643f196773f9f16e635d4": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "DescriptionStyleModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "DescriptionStyleModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "StyleView",
+      "description_width": ""
+     }
+    },
+    "145c85ca6eb042448a0784e6969d927f": {
+     "model_module": "@jupyter-widgets/base",
+     "model_name": "LayoutModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/base",
+      "_model_module_version": "1.2.0",
+      "_model_name": "LayoutModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "LayoutView",
+      "align_content": null,
+      "align_items": null,
+      "align_self": null,
+      "border": null,
+      "bottom": null,
+      "display": null,
+      "flex": null,
+      "flex_flow": null,
+      "grid_area": null,
+      "grid_auto_columns": null,
+      "grid_auto_flow": null,
+      "grid_auto_rows": null,
+      "grid_column": null,
+      "grid_gap": null,
+      "grid_row": null,
+      "grid_template_areas": null,
+      "grid_template_columns": null,
+      "grid_template_rows": null,
+      "height": null,
+      "justify_content": null,
+      "justify_items": null,
+      "left": null,
+      "margin": null,
+      "max_height": null,
+      "max_width": null,
+      "min_height": null,
+      "min_width": null,
+      "object_fit": null,
+      "object_position": null,
+      "order": null,
+      "overflow": null,
+      "overflow_x": null,
+      "overflow_y": null,
+      "padding": null,
+      "right": null,
+      "top": null,
+      "visibility": null,
+      "width": null
+     }
+    },
+    "1cad8937372a428ea8d94429e79fefa5": {
+     "model_module": "@jupyter-widgets/base",
+     "model_name": "LayoutModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/base",
+      "_model_module_version": "1.2.0",
+      "_model_name": "LayoutModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "LayoutView",
+      "align_content": null,
+      "align_items": null,
+      "align_self": null,
+      "border": null,
+      "bottom": null,
+      "display": null,
+      "flex": null,
+      "flex_flow": null,
+      "grid_area": null,
+      "grid_auto_columns": null,
+      "grid_auto_flow": null,
+      "grid_auto_rows": null,
+      "grid_column": null,
+      "grid_gap": null,
+      "grid_row": null,
+      "grid_template_areas": null,
+      "grid_template_columns": null,
+      "grid_template_rows": null,
+      "height": null,
+      "justify_content": null,
+      "justify_items": null,
+      "left": null,
+      "margin": null,
+      "max_height": null,
+      "max_width": null,
+      "min_height": null,
+      "min_width": null,
+      "object_fit": null,
+      "object_position": null,
+      "order": null,
+      "overflow": null,
+      "overflow_x": null,
+      "overflow_y": null,
+      "padding": null,
+      "right": null,
+      "top": null,
+      "visibility": null,
+      "width": null
+     }
+    },
+    "1e01794da2634d31a60c97b68341f5ed": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "HTMLModel",
+     "state": {
+      "_dom_classes": [],
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "HTMLModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/controls",
+      "_view_module_version": "1.5.0",
+      "_view_name": "HTMLView",
+      "description": "",
+      "description_tooltip": null,
+      "layout": "IPY_MODEL_e362c835a6e440958e63a3cbbef1ad97",
+      "placeholder": "​",
+      "style": "IPY_MODEL_0ac986b68b1d4b07864fa5455a70e7e4",
+      "value": " 9920512/? [00:19&lt;00:00, 17284765.59it/s]"
+     }
+    },
+    "24174ab0cab64c22b8d0d0e90f40df7e": {
+     "model_module": "@jupyter-widgets/base",
+     "model_name": "LayoutModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/base",
+      "_model_module_version": "1.2.0",
+      "_model_name": "LayoutModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "LayoutView",
+      "align_content": null,
+      "align_items": null,
+      "align_self": null,
+      "border": null,
+      "bottom": null,
+      "display": null,
+      "flex": null,
+      "flex_flow": null,
+      "grid_area": null,
+      "grid_auto_columns": null,
+      "grid_auto_flow": null,
+      "grid_auto_rows": null,
+      "grid_column": null,
+      "grid_gap": null,
+      "grid_row": null,
+      "grid_template_areas": null,
+      "grid_template_columns": null,
+      "grid_template_rows": null,
+      "height": null,
+      "justify_content": null,
+      "justify_items": null,
+      "left": null,
+      "margin": null,
+      "max_height": null,
+      "max_width": null,
+      "min_height": null,
+      "min_width": null,
+      "object_fit": null,
+      "object_position": null,
+      "order": null,
+      "overflow": null,
+      "overflow_x": null,
+      "overflow_y": null,
+      "padding": null,
+      "right": null,
+      "top": null,
+      "visibility": null,
+      "width": null
+     }
+    },
+    "3117dc30b315499ba867d93a9868e253": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "FloatProgressModel",
+     "state": {
+      "_dom_classes": [],
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "FloatProgressModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/controls",
+      "_view_module_version": "1.5.0",
+      "_view_name": "ProgressView",
+      "bar_style": "info",
+      "description": "",
+      "description_tooltip": null,
+      "layout": "IPY_MODEL_24174ab0cab64c22b8d0d0e90f40df7e",
+      "max": 1,
+      "min": 0,
+      "orientation": "horizontal",
+      "style": "IPY_MODEL_e9dc213591664588b762e527e4862d85",
+      "value": 0
+     }
+    },
+    "36d98e2babbc4cf181408256564cd6ab": {
+     "model_module": "@jupyter-widgets/base",
+     "model_name": "LayoutModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/base",
+      "_model_module_version": "1.2.0",
+      "_model_name": "LayoutModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "LayoutView",
+      "align_content": null,
+      "align_items": null,
+      "align_self": null,
+      "border": null,
+      "bottom": null,
+      "display": null,
+      "flex": null,
+      "flex_flow": null,
+      "grid_area": null,
+      "grid_auto_columns": null,
+      "grid_auto_flow": null,
+      "grid_auto_rows": null,
+      "grid_column": null,
+      "grid_gap": null,
+      "grid_row": null,
+      "grid_template_areas": null,
+      "grid_template_columns": null,
+      "grid_template_rows": null,
+      "height": null,
+      "justify_content": null,
+      "justify_items": null,
+      "left": null,
+      "margin": null,
+      "max_height": null,
+      "max_width": null,
+      "min_height": null,
+      "min_width": null,
+      "object_fit": null,
+      "object_position": null,
+      "order": null,
+      "overflow": null,
+      "overflow_x": null,
+      "overflow_y": null,
+      "padding": null,
+      "right": null,
+      "top": null,
+      "visibility": null,
+      "width": null
+     }
+    },
+    "4af6df1c09054fa3bd6e9fb83ec2044c": {
+     "model_module": "@jupyter-widgets/base",
+     "model_name": "LayoutModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/base",
+      "_model_module_version": "1.2.0",
+      "_model_name": "LayoutModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "LayoutView",
+      "align_content": null,
+      "align_items": null,
+      "align_self": null,
+      "border": null,
+      "bottom": null,
+      "display": null,
+      "flex": null,
+      "flex_flow": null,
+      "grid_area": null,
+      "grid_auto_columns": null,
+      "grid_auto_flow": null,
+      "grid_auto_rows": null,
+      "grid_column": null,
+      "grid_gap": null,
+      "grid_row": null,
+      "grid_template_areas": null,
+      "grid_template_columns": null,
+      "grid_template_rows": null,
+      "height": null,
+      "justify_content": null,
+      "justify_items": null,
+      "left": null,
+      "margin": null,
+      "max_height": null,
+      "max_width": null,
+      "min_height": null,
+      "min_width": null,
+      "object_fit": null,
+      "object_position": null,
+      "order": null,
+      "overflow": null,
+      "overflow_x": null,
+      "overflow_y": null,
+      "padding": null,
+      "right": null,
+      "top": null,
+      "visibility": null,
+      "width": null
+     }
+    },
+    "6b8f8d46c8b94bb2bbb90beb2936e87b": {
+     "model_module": "@jupyter-widgets/base",
+     "model_name": "LayoutModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/base",
+      "_model_module_version": "1.2.0",
+      "_model_name": "LayoutModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "LayoutView",
+      "align_content": null,
+      "align_items": null,
+      "align_self": null,
+      "border": null,
+      "bottom": null,
+      "display": null,
+      "flex": null,
+      "flex_flow": null,
+      "grid_area": null,
+      "grid_auto_columns": null,
+      "grid_auto_flow": null,
+      "grid_auto_rows": null,
+      "grid_column": null,
+      "grid_gap": null,
+      "grid_row": null,
+      "grid_template_areas": null,
+      "grid_template_columns": null,
+      "grid_template_rows": null,
+      "height": null,
+      "justify_content": null,
+      "justify_items": null,
+      "left": null,
+      "margin": null,
+      "max_height": null,
+      "max_width": null,
+      "min_height": null,
+      "min_width": null,
+      "object_fit": null,
+      "object_position": null,
+      "order": null,
+      "overflow": null,
+      "overflow_x": null,
+      "overflow_y": null,
+      "padding": null,
+      "right": null,
+      "top": null,
+      "visibility": null,
+      "width": null
+     }
+    },
+    "6d650f39160f4c0685a9696ec77c1fa9": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "HBoxModel",
+     "state": {
+      "_dom_classes": [],
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "HBoxModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/controls",
+      "_view_module_version": "1.5.0",
+      "_view_name": "HBoxView",
+      "box_style": "",
+      "children": [
+       "IPY_MODEL_9cba5494a2ff4f248e59e5106f8fa626",
+       "IPY_MODEL_f4e1a9fe182a4bc2acd1a32c6be0e316"
+      ],
+      "layout": "IPY_MODEL_85e8696745cd4d03890bbf78b926e755"
+     }
+    },
+    "6e716cc899a3437bb8da004062ecf049": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "DescriptionStyleModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "DescriptionStyleModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "StyleView",
+      "description_width": ""
+     }
+    },
+    "8547c005207844eca54ba88100bc1998": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "HBoxModel",
+     "state": {
+      "_dom_classes": [],
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "HBoxModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/controls",
+      "_view_module_version": "1.5.0",
+      "_view_name": "HBoxView",
+      "box_style": "",
+      "children": [
+       "IPY_MODEL_3117dc30b315499ba867d93a9868e253",
+       "IPY_MODEL_d17081505b9544e5ab8f1b51a5e55c2d"
+      ],
+      "layout": "IPY_MODEL_ce52c576d88f45a68388ae2e99bd35ce"
+     }
+    },
+    "85666a192d5441a0b9ea75395517378d": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "ProgressStyleModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "ProgressStyleModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "StyleView",
+      "bar_color": null,
+      "description_width": "initial"
+     }
+    },
+    "85e8696745cd4d03890bbf78b926e755": {
+     "model_module": "@jupyter-widgets/base",
+     "model_name": "LayoutModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/base",
+      "_model_module_version": "1.2.0",
+      "_model_name": "LayoutModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "LayoutView",
+      "align_content": null,
+      "align_items": null,
+      "align_self": null,
+      "border": null,
+      "bottom": null,
+      "display": null,
+      "flex": null,
+      "flex_flow": null,
+      "grid_area": null,
+      "grid_auto_columns": null,
+      "grid_auto_flow": null,
+      "grid_auto_rows": null,
+      "grid_column": null,
+      "grid_gap": null,
+      "grid_row": null,
+      "grid_template_areas": null,
+      "grid_template_columns": null,
+      "grid_template_rows": null,
+      "height": null,
+      "justify_content": null,
+      "justify_items": null,
+      "left": null,
+      "margin": null,
+      "max_height": null,
+      "max_width": null,
+      "min_height": null,
+      "min_width": null,
+      "object_fit": null,
+      "object_position": null,
+      "order": null,
+      "overflow": null,
+      "overflow_x": null,
+      "overflow_y": null,
+      "padding": null,
+      "right": null,
+      "top": null,
+      "visibility": null,
+      "width": null
+     }
+    },
+    "8bdf370b4e15495ba07adfe320d2faef": {
+     "model_module": "@jupyter-widgets/base",
+     "model_name": "LayoutModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/base",
+      "_model_module_version": "1.2.0",
+      "_model_name": "LayoutModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "LayoutView",
+      "align_content": null,
+      "align_items": null,
+      "align_self": null,
+      "border": null,
+      "bottom": null,
+      "display": null,
+      "flex": null,
+      "flex_flow": null,
+      "grid_area": null,
+      "grid_auto_columns": null,
+      "grid_auto_flow": null,
+      "grid_auto_rows": null,
+      "grid_column": null,
+      "grid_gap": null,
+      "grid_row": null,
+      "grid_template_areas": null,
+      "grid_template_columns": null,
+      "grid_template_rows": null,
+      "height": null,
+      "justify_content": null,
+      "justify_items": null,
+      "left": null,
+      "margin": null,
+      "max_height": null,
+      "max_width": null,
+      "min_height": null,
+      "min_width": null,
+      "object_fit": null,
+      "object_position": null,
+      "order": null,
+      "overflow": null,
+      "overflow_x": null,
+      "overflow_y": null,
+      "padding": null,
+      "right": null,
+      "top": null,
+      "visibility": null,
+      "width": null
+     }
+    },
+    "9083debdb62a40bbb04658ca02b93d37": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "FloatProgressModel",
+     "state": {
+      "_dom_classes": [],
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "FloatProgressModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/controls",
+      "_view_module_version": "1.5.0",
+      "_view_name": "ProgressView",
+      "bar_style": "info",
+      "description": "",
+      "description_tooltip": null,
+      "layout": "IPY_MODEL_4af6df1c09054fa3bd6e9fb83ec2044c",
+      "max": 1,
+      "min": 0,
+      "orientation": "horizontal",
+      "style": "IPY_MODEL_f773a23657d54e96b1fbcbe513d11d95",
+      "value": 1
+     }
+    },
+    "9cba5494a2ff4f248e59e5106f8fa626": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "FloatProgressModel",
+     "state": {
+      "_dom_classes": [],
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "FloatProgressModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/controls",
+      "_view_module_version": "1.5.0",
+      "_view_name": "ProgressView",
+      "bar_style": "success",
+      "description": "",
+      "description_tooltip": null,
+      "layout": "IPY_MODEL_145c85ca6eb042448a0784e6969d927f",
+      "max": 1,
+      "min": 0,
+      "orientation": "horizontal",
+      "style": "IPY_MODEL_85666a192d5441a0b9ea75395517378d",
+      "value": 1
+     }
+    },
+    "b389b8eef9f94c5dbd87e8e629abcf85": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "HBoxModel",
+     "state": {
+      "_dom_classes": [],
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "HBoxModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/controls",
+      "_view_module_version": "1.5.0",
+      "_view_name": "HBoxView",
+      "box_style": "",
+      "children": [
+       "IPY_MODEL_0b36e5e82d31440d922b045471ee7adb",
+       "IPY_MODEL_eeee52a8fb1f4bffa9f66aae8f0250fb"
+      ],
+      "layout": "IPY_MODEL_36d98e2babbc4cf181408256564cd6ab"
+     }
+    },
+    "ce52c576d88f45a68388ae2e99bd35ce": {
+     "model_module": "@jupyter-widgets/base",
+     "model_name": "LayoutModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/base",
+      "_model_module_version": "1.2.0",
+      "_model_name": "LayoutModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "LayoutView",
+      "align_content": null,
+      "align_items": null,
+      "align_self": null,
+      "border": null,
+      "bottom": null,
+      "display": null,
+      "flex": null,
+      "flex_flow": null,
+      "grid_area": null,
+      "grid_auto_columns": null,
+      "grid_auto_flow": null,
+      "grid_auto_rows": null,
+      "grid_column": null,
+      "grid_gap": null,
+      "grid_row": null,
+      "grid_template_areas": null,
+      "grid_template_columns": null,
+      "grid_template_rows": null,
+      "height": null,
+      "justify_content": null,
+      "justify_items": null,
+      "left": null,
+      "margin": null,
+      "max_height": null,
+      "max_width": null,
+      "min_height": null,
+      "min_width": null,
+      "object_fit": null,
+      "object_position": null,
+      "order": null,
+      "overflow": null,
+      "overflow_x": null,
+      "overflow_y": null,
+      "padding": null,
+      "right": null,
+      "top": null,
+      "visibility": null,
+      "width": null
+     }
+    },
+    "d17081505b9544e5ab8f1b51a5e55c2d": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "HTMLModel",
+     "state": {
+      "_dom_classes": [],
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "HTMLModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/controls",
+      "_view_module_version": "1.5.0",
+      "_view_name": "HTMLView",
+      "description": "",
+      "description_tooltip": null,
+      "layout": "IPY_MODEL_6b8f8d46c8b94bb2bbb90beb2936e87b",
+      "placeholder": "​",
+      "style": "IPY_MODEL_0cded60f8ca643f196773f9f16e635d4",
+      "value": " 0/? [00:00&lt;?, ?it/s]"
+     }
+    },
+    "d91f57faa11a4d93b3e462b6eaddf30a": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "DescriptionStyleModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "DescriptionStyleModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "StyleView",
+      "description_width": ""
+     }
+    },
+    "deefd693611a485697895e786799a91a": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "ProgressStyleModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "ProgressStyleModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "StyleView",
+      "bar_color": null,
+      "description_width": "initial"
+     }
+    },
+    "e362c835a6e440958e63a3cbbef1ad97": {
+     "model_module": "@jupyter-widgets/base",
+     "model_name": "LayoutModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/base",
+      "_model_module_version": "1.2.0",
+      "_model_name": "LayoutModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "LayoutView",
+      "align_content": null,
+      "align_items": null,
+      "align_self": null,
+      "border": null,
+      "bottom": null,
+      "display": null,
+      "flex": null,
+      "flex_flow": null,
+      "grid_area": null,
+      "grid_auto_columns": null,
+      "grid_auto_flow": null,
+      "grid_auto_rows": null,
+      "grid_column": null,
+      "grid_gap": null,
+      "grid_row": null,
+      "grid_template_areas": null,
+      "grid_template_columns": null,
+      "grid_template_rows": null,
+      "height": null,
+      "justify_content": null,
+      "justify_items": null,
+      "left": null,
+      "margin": null,
+      "max_height": null,
+      "max_width": null,
+      "min_height": null,
+      "min_width": null,
+      "object_fit": null,
+      "object_position": null,
+      "order": null,
+      "overflow": null,
+      "overflow_x": null,
+      "overflow_y": null,
+      "padding": null,
+      "right": null,
+      "top": null,
+      "visibility": null,
+      "width": null
+     }
+    },
+    "e9dc213591664588b762e527e4862d85": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "ProgressStyleModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "ProgressStyleModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "StyleView",
+      "bar_color": null,
+      "description_width": "initial"
+     }
+    },
+    "eeee52a8fb1f4bffa9f66aae8f0250fb": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "HTMLModel",
+     "state": {
+      "_dom_classes": [],
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "HTMLModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/controls",
+      "_view_module_version": "1.5.0",
+      "_view_name": "HTMLView",
+      "description": "",
+      "description_tooltip": null,
+      "layout": "IPY_MODEL_f4252d1132db4b68bb5faaa5292a701b",
+      "placeholder": "​",
+      "style": "IPY_MODEL_d91f57faa11a4d93b3e462b6eaddf30a",
+      "value": " 8192/? [00:06&lt;00:00, 1260.85it/s]"
+     }
+    },
+    "f4252d1132db4b68bb5faaa5292a701b": {
+     "model_module": "@jupyter-widgets/base",
+     "model_name": "LayoutModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/base",
+      "_model_module_version": "1.2.0",
+      "_model_name": "LayoutModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "LayoutView",
+      "align_content": null,
+      "align_items": null,
+      "align_self": null,
+      "border": null,
+      "bottom": null,
+      "display": null,
+      "flex": null,
+      "flex_flow": null,
+      "grid_area": null,
+      "grid_auto_columns": null,
+      "grid_auto_flow": null,
+      "grid_auto_rows": null,
+      "grid_column": null,
+      "grid_gap": null,
+      "grid_row": null,
+      "grid_template_areas": null,
+      "grid_template_columns": null,
+      "grid_template_rows": null,
+      "height": null,
+      "justify_content": null,
+      "justify_items": null,
+      "left": null,
+      "margin": null,
+      "max_height": null,
+      "max_width": null,
+      "min_height": null,
+      "min_width": null,
+      "object_fit": null,
+      "object_position": null,
+      "order": null,
+      "overflow": null,
+      "overflow_x": null,
+      "overflow_y": null,
+      "padding": null,
+      "right": null,
+      "top": null,
+      "visibility": null,
+      "width": null
+     }
+    },
+    "f4e1a9fe182a4bc2acd1a32c6be0e316": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "HTMLModel",
+     "state": {
+      "_dom_classes": [],
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "HTMLModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/controls",
+      "_view_module_version": "1.5.0",
+      "_view_name": "HTMLView",
+      "description": "",
+      "description_tooltip": null,
+      "layout": "IPY_MODEL_072b3bef4c7743889d839ff5fc8d00b7",
+      "placeholder": "​",
+      "style": "IPY_MODEL_6e716cc899a3437bb8da004062ecf049",
+      "value": " 1654784/? [00:06&lt;00:00, 243783.29it/s]"
+     }
+    },
+    "f773a23657d54e96b1fbcbe513d11d95": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "ProgressStyleModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "ProgressStyleModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "StyleView",
+      "bar_color": null,
+      "description_width": "initial"
+     }
+    },
+    "fc57bac640bf48adad5146f6262d2982": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "HBoxModel",
+     "state": {
+      "_dom_classes": [],
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "HBoxModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/controls",
+      "_view_module_version": "1.5.0",
+      "_view_name": "HBoxView",
+      "box_style": "",
+      "children": [
+       "IPY_MODEL_9083debdb62a40bbb04658ca02b93d37",
+       "IPY_MODEL_1e01794da2634d31a60c97b68341f5ed"
+      ],
+      "layout": "IPY_MODEL_8bdf370b4e15495ba07adfe320d2faef"
+     }
+    }
+   }
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 1
+}