toy_models_demonstrating_superposition.ipynb

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  "cells": [
    {
      "cell_type": "markdown",
      "source": [
        "# Imports"
      ],
      "metadata": {
        "id": "VDD-BO83yggO"
      }
    },
    {
      "cell_type": "code",
      "execution_count": 22,
      "metadata": {
        "id": "VBs1-tZFfiwE"
      },
      "outputs": [],
      "source": [
        "import torch\n",
        "from torch import nn, Tensor\n",
        "import torch.nn.functional as F\n",
        "import torch.optim as optim\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from matplotlib.figure import Figure\n",
        "from matplotlib.backends.backend_agg import FigureCanvasAgg\n",
        "from jaxtyping import Float\n",
        "import einops\n",
        "from tqdm.notebook import tqdm\n",
        "from dataclasses import dataclass"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Model definition"
      ],
      "metadata": {
        "id": "4JbOPtfw1AHh"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "@dataclass\n",
        "class ModelConfig:\n",
        "    d_feature: int = 20\n",
        "    d_model: int = 5\n",
        "    device: str = \"cpu\""
      ],
      "metadata": {
        "id": "CBTbnxUM1BpB"
      },
      "execution_count": 2,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "class LinearModel(nn.Module):\n",
        "    def __init__(self, cfg: ModelConfig):\n",
        "        super().__init__()\n",
        "\n",
        "        self.cfg = cfg\n",
        "\n",
        "        d_feature = cfg.d_feature\n",
        "        d_model = cfg.d_model\n",
        "\n",
        "        self.W = nn.Parameter(torch.empty(d_feature, d_model))\n",
        "        # Kaiming initialization works better than Xavier for layers with ReLU activation\n",
        "        # See https://stats.stackexchange.com/questions/319323/whats-the-difference-between-variance-scaling-initializer-and-xavier-initialize/319849#319849\n",
        "        nn.init.kaiming_normal_(self.W)\n",
        "        self.b = nn.Parameter(torch.zeros(d_feature))\n",
        "\n",
        "    def forward(self, x: Float[Tensor, \"batch d_feature\"]) -> Float[Tensor, \"batch d_feature\"]:\n",
        "        h = einops.einsum(\n",
        "            x, self.W,\n",
        "            \"batch d_feature, d_feature d_model -> batch d_model\"\n",
        "        )\n",
        "        out = einops.einsum(\n",
        "            h, self.W,\n",
        "            \"batch d_model, d_feature d_model -> batch d_feature\"\n",
        "        ) + self.b\n",
        "        return out"
      ],
      "metadata": {
        "id": "p2A06iwxJ0HJ"
      },
      "execution_count": 3,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "class ReLUModel(nn.Module):\n",
        "    def __init__(self, cfg: ModelConfig):\n",
        "        super().__init__()\n",
        "\n",
        "        self.cfg = cfg\n",
        "\n",
        "        d_feature = cfg.d_feature\n",
        "        d_model = cfg.d_model\n",
        "\n",
        "        self.W = nn.Parameter(torch.empty(d_feature, d_model))\n",
        "        nn.init.kaiming_normal_(self.W)\n",
        "        self.b = nn.Parameter(torch.zeros(d_feature))\n",
        "\n",
        "    def forward(self, x: Float[Tensor, \"batch d_feature\"]) -> Float[Tensor, \"batch d_feature\"]:\n",
        "        h = einops.einsum(\n",
        "            x, self.W,\n",
        "            \"batch d_feature, d_feature d_model -> batch d_model\"\n",
        "        )\n",
        "        out = F.relu(\n",
        "            einops.einsum(\n",
        "                h, self.W,\n",
        "                \"batch d_model, d_feature d_model -> batch d_feature\"\n",
        "            ) + self.b\n",
        "        )\n",
        "        return out"
      ],
      "metadata": {
        "id": "wAaLOWE4J8Pr"
      },
      "execution_count": 4,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Data generation"
      ],
      "metadata": {
        "id": "Yrs9_WTbNE9O"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "def generate_batch(d_feature: int, batch_size: int, density: float, device: str ='cpu') -> Float[Tensor, \"batch_size d_feature\"]:\n",
        "    feat_vals = torch.rand(batch_size, d_feature, device=device)\n",
        "    feat_probs = torch.rand(batch_size, d_feature, device=device)\n",
        "    # Add importance, batch and feature dims to densities for broadcasting\n",
        "    sparsity_mask = feat_probs < density\n",
        "    # Only those feats with prob < respective density will be present in the generated data\n",
        "    return feat_vals * sparsity_mask"
      ],
      "metadata": {
        "id": "EugPNzhwNGUk"
      },
      "execution_count": 5,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Loss function"
      ],
      "metadata": {
        "id": "kIkkgd5i-jQY"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "class ImportanceWeightedMSELoss(nn.Module):\n",
        "    def __init__(self):\n",
        "        super().__init__()\n",
        "\n",
        "    def forward(\n",
        "            self,\n",
        "            input: Float[Tensor, \"batch_size d_feature\"],\n",
        "            target: Float[Tensor, \"batch_size d_feature\"],\n",
        "            importance_decay: float\n",
        "    ) -> Float[Tensor, \"\"]:\n",
        "        d_feature = input.shape[1]\n",
        "        squared_error = (target - input) ** 2\n",
        "        # If the initial importance is 0.9 and there are 3 features, the\n",
        "        # features are importance-weighted as:\n",
        "        # [1, 0.9, 0.9 ** 2]\n",
        "        importances = torch.tensor([importance_decay ** i for i in range(d_feature)])\n",
        "        # Repeat the importances tensor across all batches, e.g.,\n",
        "        # importances goes from\n",
        "        # [1, 0.9, 0.9 ** 2]\n",
        "        # to\n",
        "        # [[1, 0.9, 0.9 ** 2],\n",
        "        #  [1, 0.9, 0.9 ** 2]]\n",
        "        # if there are two batches.\n",
        "        importances = einops.repeat(importances, \"d_feature -> batch_size d_feature\", batch_size=input.shape[0])\n",
        "        per_feature_imse_loss = squared_error * importances\n",
        "        total_imse_loss = einops.reduce(\n",
        "            squared_error * importances,\n",
        "            \"batch_size d_feature ->\",\n",
        "            \"mean\"\n",
        "        )\n",
        "        return total_imse_loss"
      ],
      "metadata": {
        "id": "3qBNneFe-lTH"
      },
      "execution_count": 6,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Training loop"
      ],
      "metadata": {
        "id": "Sz7mEsg0Upho"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "@dataclass\n",
        "class TrainingArgs:\n",
        "    lr: float = 1e-3\n",
        "    n_epochs: int = 10_000\n",
        "    log_interval: int = 500\n",
        "    batch_size: int = 1024"
      ],
      "metadata": {
        "id": "-Qt_0Z2PVfDZ"
      },
      "execution_count": 7,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "def train(\n",
        "        model: LinearModel | ReLUModel,\n",
        "        training_args: TrainingArgs,\n",
        "        optimizer: optim.Optimizer,\n",
        "        loss_fn: nn.Module,\n",
        "        density: float,\n",
        "        importance_decay: float,\n",
        "        device='cpu'\n",
        "):\n",
        "    optimizer = optimizer(model.parameters(), lr=training_args.lr)\n",
        "    loss_fn = loss_fn()\n",
        "\n",
        "    epochs = []\n",
        "    losses = []\n",
        "\n",
        "    for epoch in tqdm(range(1, training_args.n_epochs + 1)):\n",
        "        batch = generate_batch(model.cfg.d_feature, training_args.batch_size, density, device)\n",
        "        loss = (loss_fn(batch, model(batch), importance_decay))\n",
        "\n",
        "        optimizer.zero_grad()\n",
        "        loss.backward()\n",
        "        optimizer.step()\n",
        "\n",
        "        epochs.append(epoch)\n",
        "        losses.append(loss.item())\n",
        "\n",
        "        if epoch % training_args.log_interval == 0:\n",
        "            print(f\"Epoch [{epoch}/{training_args.n_epochs}]: loss = {loss.item():.6f}\")\n",
        "\n",
        "    # Plot loss against epochs\n",
        "    plt.figure(figsize=(5, 3))\n",
        "    plt.plot(epochs, losses)\n",
        "    model_type = \"Linear\" if isinstance(model, LinearModel) else \"ReLU\"\n",
        "    plt.title(f'{model_type} model, 1 - S = {density}, Iᵢ = {importance_decay}')\n",
        "    plt.xlabel('Epoch')\n",
        "    plt.ylabel('Training loss')\n",
        "    plt.show()"
      ],
      "metadata": {
        "id": "IfXxfUaDVkl1"
      },
      "execution_count": 8,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Device"
      ],
      "metadata": {
        "id": "aHu6ThfbcaeR"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Models typically train in ~30s on CPU in Colab\n",
        "device = 'cpu'"
      ],
      "metadata": {
        "id": "2OuezkE2cbws"
      },
      "execution_count": 9,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Initializing model, density and initial importance"
      ],
      "metadata": {
        "id": "0G9b0Sw2cduF"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "model_cfg = ModelConfig(d_feature=20, d_model=5)\n",
        "model = ReLUModel(model_cfg)\n",
        "\n",
        "density = 1\n",
        "importance_decay = 0.7"
      ],
      "metadata": {
        "id": "RgeCse_WcrG1"
      },
      "execution_count": 17,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Seed for reproducibility"
      ],
      "metadata": {
        "id": "lNPA3syv7zvG"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "torch.manual_seed(42)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "WH_lSYcN71Yl",
        "outputId": "5768ba30-75e9-41dc-9084-373bf668ec66"
      },
      "execution_count": 18,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<torch._C.Generator at 0x7ca95cc420d0>"
            ]
          },
          "metadata": {},
          "execution_count": 18
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Training model"
      ],
      "metadata": {
        "id": "-b4fZkHH7wOx"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "train(model, TrainingArgs(), optim.AdamW, ImportanceWeightedMSELoss, density, importance_decay, device)\n",
        "print(\"Training complete.\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 729,
          "referenced_widgets": [
            "ff05210d234f477c988c5899b826481c",
            "0d3f950a4ae24111a0b54d1a2da7acb6",
            "d1913db23f414e239e93ef0f33c4a6aa",
            "94fb6bf20ded404d816bb596bd7aed1b",
            "1e9f5da0cf3e4cb48652bc0e6b2edc04",
            "f1d2a06eaf714531b063d0a19f42283f",
            "c65b5310ba7e4fba89978d590413498d",
            "15cb4ba49dc84c958ef6ebfc861eba88",
            "1d7868676e9741d6893011037cfd1bca",
            "46106b28816e4c019699550eafb683a4",
            "be850bfb51c7470c838a3dd174664567"
          ]
        },
        "id": "yNRcV99K7yOo",
        "outputId": "4782b607-6588-41a2-9b2f-095c0acf811b"
      },
      "execution_count": 19,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "  0%|          | 0/10000 [00:00<?, ?it/s]"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "ff05210d234f477c988c5899b826481c"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Epoch [500/10000]: loss = 0.043613\n",
            "Epoch [1000/10000]: loss = 0.032226\n",
            "Epoch [1500/10000]: loss = 0.023969\n",
            "Epoch [2000/10000]: loss = 0.016098\n",
            "Epoch [2500/10000]: loss = 0.010466\n",
            "Epoch [3000/10000]: loss = 0.008135\n",
            "Epoch [3500/10000]: loss = 0.006486\n",
            "Epoch [4000/10000]: loss = 0.005634\n",
            "Epoch [4500/10000]: loss = 0.005037\n",
            "Epoch [5000/10000]: loss = 0.004474\n",
            "Epoch [5500/10000]: loss = 0.004112\n",
            "Epoch [6000/10000]: loss = 0.003400\n",
            "Epoch [6500/10000]: loss = 0.002590\n",
            "Epoch [7000/10000]: loss = 0.002357\n",
            "Epoch [7500/10000]: loss = 0.002346\n",
            "Epoch [8000/10000]: loss = 0.002355\n",
            "Epoch [8500/10000]: loss = 0.002311\n",
            "Epoch [9000/10000]: loss = 0.002354\n",
            "Epoch [9500/10000]: loss = 0.002317\n",
            "Epoch [10000/10000]: loss = 0.002354\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 500x300 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Training complete.\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Plotting function"
      ],
      "metadata": {
        "id": "a0K2_oqvID4i"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "def visualize(model: ReLUModel | LinearModel) -> np.ndarray:\n",
        "    W = model.W.detach()\n",
        "\n",
        "    feature_norms = W.norm(dim=1, keepdim=True)\n",
        "    W_normed = W / (feature_norms + 1e-5)\n",
        "\n",
        "    self_interactions_mask = (1 - torch.eye(model.cfg.d_feature))\n",
        "    interferences = ((W_normed @ W.T) * self_interactions_mask) ** 2\n",
        "    superpositions = interferences.norm(dim=-1)\n",
        "    superposition_color_mappings = plt.cm.inferno(superpositions)\n",
        "\n",
        "    fig = Figure(figsize=(3, 7))\n",
        "    canvas = FigureCanvasAgg(fig)\n",
        "\n",
        "    # Title figure\n",
        "    model_type = \"Linear\" if isinstance(model, LinearModel) else \"ReLU\"\n",
        "    fig.suptitle(f\"{model_type} model\\n1-S = {density:.3f}\\n\", fontsize=10)\n",
        "\n",
        "    # WtW plot\n",
        "    ax1 = fig.add_subplot(2, 1, 1)\n",
        "    im = ax1.matshow(W @ W.T, cmap='coolwarm', vmin=-1, vmax=1)\n",
        "    ax1.set_title(\"WᵀW\")\n",
        "\n",
        "    # Superposition barplot\n",
        "    ax2 = fig.add_subplot(2, 1, 2)\n",
        "    ax2.barh(range(model.cfg.d_feature), feature_norms.squeeze().cpu(), color=superposition_color_mappings)\n",
        "    ax2.set_title(\"||Wᵢ||\")\n",
        "    ax2.invert_yaxis()\n",
        "\n",
        "    fig.tight_layout()\n",
        "    canvas.draw()\n",
        "    image = np.frombuffer(canvas.tostring_rgb(), dtype='uint8')\n",
        "    image = image.reshape(canvas.get_width_height()[::-1] + (3,))\n",
        "\n",
        "    return image"
      ],
      "metadata": {
        "id": "dbLUDN0yeLWa"
      },
      "execution_count": 20,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "visualize(model)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 740
        },
        "id": "4TQpujsYMyVQ",
        "outputId": "cd2c2e6e-82e1-4fef-ca94-738cdec855c5"
      },
      "execution_count": 21,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[[255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        ...,\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255]],\n",
              "\n",
              "       [[255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        ...,\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255]],\n",
              "\n",
              "       [[255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        ...,\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255]],\n",
              "\n",
              "       ...,\n",
              "\n",
              "       [[255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        ...,\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255]],\n",
              "\n",
              "       [[255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        ...,\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255]],\n",
              "\n",
              "       [[255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        ...,\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255]]], dtype=uint8)"
            ],
            "text/html": [
              "<style>\n",
              "      .ndarray_repr .ndarray_raw_data {\n",
              "        display: none;\n",
              "      }\n",
              "      .ndarray_repr.show_array .ndarray_raw_data {\n",
              "        display: block;\n",
              "      }\n",
              "      .ndarray_repr.show_array .ndarray_image_preview {\n",
              "        display: none;\n",
              "      }\n",
              "      </style>\n",
              "      <div id=\"id-d229a4b7-9b20-4fbf-ab08-89360421f60f\" class=\"ndarray_repr\"><pre>ndarray (700, 300, 3) <button style=\"padding: 0 2px;\">show data</button></pre><img 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\" class=\"ndarray_image_preview\" /><pre class=\"ndarray_raw_data\">array([[[255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        ...,\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255]],\n",
              "\n",
              "       [[255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        ...,\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255]],\n",
              "\n",
              "       [[255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        ...,\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255]],\n",
              "\n",
              "       ...,\n",
              "\n",
              "       [[255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        ...,\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255]],\n",
              "\n",
              "       [[255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        ...,\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255]],\n",
              "\n",
              "       [[255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        ...,\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255],\n",
              "        [255, 255, 255]]], dtype=uint8)</pre></div><script>\n",
              "      (() => {\n",
              "      const titles = ['show data', 'hide data'];\n",
              "      let index = 0\n",
              "      document.querySelector('#id-d229a4b7-9b20-4fbf-ab08-89360421f60f button').onclick = (e) => {\n",
              "        document.querySelector('#id-d229a4b7-9b20-4fbf-ab08-89360421f60f').classList.toggle('show_array');\n",
              "        index = (++index) % 2;\n",
              "        document.querySelector('#id-d229a4b7-9b20-4fbf-ab08-89360421f60f button').textContent = titles[index];\n",
              "        e.preventDefault();\n",
              "        e.stopPropagation();\n",
              "      }\n",
              "      })();\n",
              "    </script>"
            ]
          },
          "metadata": {},
          "execution_count": 21
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Replicating Anthropic's plot"
      ],
      "metadata": {
        "id": "TCkglTQTZK-D"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "densities = [0.001, 1, 0.3, 0.1, 0.03, 0.01, 0.003, 0.001]\n",
        "# Except a Linear Model, all models visualized are ReLU\n",
        "model_classes = [LinearModel] + [ReLUModel] * (len(densities) - 1)\n",
        "importance_decay = 0.7\n",
        "model_cfg = ModelConfig(d_feature=20, d_model=5)\n",
        "\n",
        "columns = []\n",
        "\n",
        "for model_class, density in zip(model_classes, densities):\n",
        "    model = model_class(model_cfg)\n",
        "    # Hackily turning logging off: recall that n_epochs is 10_000 by default\n",
        "    train(model, TrainingArgs(log_interval=10_001), optim.AdamW, ImportanceWeightedMSELoss, density, importance_decay, device)\n",
        "    column_image = visualize(model)\n",
        "    columns.append(column_image)\n",
        "\n",
        "# Stitch columns together and display\n",
        "print()\n",
        "final_plot = np.hstack(columns)\n",
        "plt.figure(figsize=(20, 6))\n",
        "plt.imshow(final_plot)\n",
        "plt.axis('off')\n",
        "plt.show()"
      ],
      "metadata": {
        "id": "NVdzC6bfMz1M",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000,
          "referenced_widgets": [
            "cb4598f7768c4cf29daabaf3f6b9da1a",
            "d2772570e4d049ee99424b493b77ac74",
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            "16a47e158d384f809f74d88841b2a69b"
          ]
        },
        "outputId": "28830a91-86d0-41cf-e602-ffc427b3fba3"
      },
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "  0%|          | 0/10000 [00:00<?, ?it/s]"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "cb4598f7768c4cf29daabaf3f6b9da1a"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 500x300 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "  0%|          | 0/10000 [00:00<?, ?it/s]"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "a9380e3208a54912a5485234226b1ef4"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 500x300 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "  0%|          | 0/10000 [00:00<?, ?it/s]"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "375d9d2e22b540069fd0217eca2cf39f"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 500x300 with 1 Axes>"
            ],
            "image/png": 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qzMXcUBwfHx+TIWz1Yffu3aJv375CpVKJtm3biilTphiHklWq/H/O3P8fcXFxAoA4fPhwPWXcNCmEsOJdHURUJ6+//jq+/vprnDp1qsbhLWR9I0aMwNmzZ7F//365U6FGhKeFiRqg7du3Y968eSysMhNCYMeOHfjqq6/kToUaGR65EhERSYwP7iciIpIYiysREZHEWFyJiIgkxuJKREQkMd4tbIbBYMDFixfRokULDqImImrGhBC4fv06PD09q7zY414Lyi4hIUH4+PgIpVIpevfuLfbt21dj/IYNG0TXrl2FUqkU/v7+YsuWLSbzUc2A+jvfwVmT3NzcWr93khMnTpw4Nf3J0oeByH7kun79esTGxmLVqlUIDQ3F8uXLERERgRMnTlR59icA7N27F6NGjUJ8fDyeeOIJrFu3DlFRUThw4AD8/f0BVH0rxA8//IAJEybgmWeeqVVOlY+6y83Nhaur633uIRERNVY6nQ7e3t7GulBbso9zDQ0NRUhICBISEgDcPiXr7e2NadOmIS4urkp8dHQ0SkpKsHnzZmNbnz59EBQUhFWrVpndRlRUFK5fv460tLRa5aTT6aBWq1FUVMTiSkTUjNW1Hsh6Q1N5eTkyMzNNHuZtY2OD8PBwpKenm10mPT29ysO/IyIiqo3Py8vDli1bMGHChGrzKCsrg06nM5mIiIjqStbiWlBQAL1eDw8PD5N2Dw8PaLVas8totVqL4r/44gu0aNECTz/9dLV5xMfHQ61WGydvb28L94SIiOhPTX4ozmeffYbRo0dDpVJVGzN79mwUFRUZp9zc3HrMkIiImhpZb2hyc3ODra0t8vLyTNrz8vKqfTm2RqOpdfzu3btx4sQJrF+/vsY8lEolH5BORESSkfXI1cHBAb169TK50chgMCAtLQ1hYWFmlwkLC6tyY1JqaqrZ+E8//RS9evVCYGCgtIkTERHVQPahOLGxsYiJiUFwcDB69+6N5cuXo6SkBOPHjwcAjB07Fl5eXoiPjwcAzJgxAwMGDMDSpUsRGRmJxMREZGRkYPXq1Sbr1el0SEpKwtKlS+t9n4iIqHmTvbhGR0fj8uXLmD9/PrRaLYKCgpCSkmK8aSknJ8fkqRh9+/bFunXrMHfuXMyZMwe+vr5ITk42jnGtlJiYCCEERo0aVa/7U6m4rAIzE7PwxIOeiOrpJUsOREQkD9nHuTZEUoxzff/HE0jYfgoAcHZxpJTpERFRPWmU41ybsqul5XKnQEREMmFxJSIikhiLq5XwZDsRUfPF4kpERCQxFlciIiKJsbgSERFJjMXVanjRlYiouWJxJSIikhiLKxERkcRYXImIiCTG4molHOdKRNR8sbgSERFJjMXVSnjkSkTUfLG4EhERSYzFlYiISGIsrkRERBJjcbUSwSc0ERE1WyyuVlJSrjd+vnHHZyIiavpYXK2k7NafBbW8wiBjJkREVN9YXK1k18kCuVMgIiKZsLhaSbmeR6tERM2V7MV1xYoV6NChA1QqFUJDQ7F///4a45OSkuDn5weVSoWAgABs3bq1SsyxY8cwdOhQqNVqODs7IyQkBDk5OdbaBbNaOzv8+UVRr5smIiKZyVpc169fj9jYWCxYsAAHDhxAYGAgIiIikJ+fbzZ+7969GDVqFCZMmICsrCxERUUhKioK2dnZxpg//vgD/fr1g5+fH3bs2IHDhw9j3rx5UKlU9bVbAIC4IX71uj0iImo4FELI96C+0NBQhISEICEhAQBgMBjg7e2NadOmIS4urkp8dHQ0SkpKsHnzZmNbnz59EBQUhFWrVgEARo4cCXt7e3z55Zd1zkun00GtVqOoqAiurq51WsePv2nx0peZAIDDCwfBVWVf53yIiEgeda0Hsh25lpeXIzMzE+Hh4X8mY2OD8PBwpKenm10mPT3dJB4AIiIijPEGgwFbtmzBAw88gIiICLi7uyM0NBTJyck15lJWVgadTmcy3S+eCSYiar5kK64FBQXQ6/Xw8PAwaffw8IBWqzW7jFarrTE+Pz8fxcXFWLx4MQYPHoz//e9/GDZsGJ5++mns3Lmz2lzi4+OhVquNk7e3933uHWCjYHklImquZL+hSUoGw+07dJ966im88sorCAoKQlxcHJ544gnjaWNzZs+ejaKiIuOUm5t737mwthIRNV92cm3Yzc0Ntra2yMvLM2nPy8uDRqMxu4xGo6kx3s3NDXZ2dujevbtJTLdu3bBnz55qc1EqlVAqlXXZjVphnSUial5kO3J1cHBAr169kJaWZmwzGAxIS0tDWFiY2WXCwsJM4gEgNTXVGO/g4ICQkBCcOHHCJObkyZPw8fGReA9qxiNXIqLmS7YjVwCIjY1FTEwMgoOD0bt3byxfvhwlJSUYP348AGDs2LHw8vJCfHw8AGDGjBkYMGAAli5disjISCQmJiIjIwOrV682rnPWrFmIjo5G//798dhjjyElJQXff/89duzYUa/7prijuvIR/kREzYusxTU6OhqXL1/G/PnzodVqERQUhJSUFONNSzk5ObCx+fPgum/fvli3bh3mzp2LOXPmwNfXF8nJyfD39zfGDBs2DKtWrUJ8fDymT5+Orl274ptvvkG/fv3qdd/uPHC9Wa7nUBwiomZE1nGuDZUU41x3nMjHuM9/BQB8OaE3HvFtK2WKRERUDxrdONem7s7TwhUG/v1CRNScsLhayZ2nhf/f7tOy5UFERPWPxbUe/HzqitwpEBFRPWJxJSIikhiLq5XY27JriYiaK1YAK+FDJIiImi8WVythbSUiar5YXImIiCTG4molbVys9yIAIiJq2FhcraSLu4vcKRARkUxYXImIiCTG4kpERCQxFlciIiKJsbgSERFJjMWViIhIYiyuREREEmNxJSIikhiLKxERkcRYXImIiCTG4kpERCSxBlFcV6xYgQ4dOkClUiE0NBT79++vMT4pKQl+fn5QqVQICAjA1q1bTeaPGzcOCoXCZBo8eLA1d4GIiMhI9uK6fv16xMbGYsGCBThw4AACAwMRERGB/Px8s/F79+7FqFGjMGHCBGRlZSEqKgpRUVHIzs42iRs8eDAuXbpknL7++uv62B0iIiL5i+uyZcvw4osvYvz48ejevTtWrVoFJycnfPbZZ2bjP/zwQwwePBizZs1Ct27d8M477+Chhx5CQkKCSZxSqYRGozFOrVq1qo/dISIikre4lpeXIzMzE+Hh4cY2GxsbhIeHIz093ewy6enpJvEAEBERUSV+x44dcHd3R9euXTF58mRcuXKl2jzKysqg0+lMJiIiorqStbgWFBRAr9fDw8PDpN3DwwNardbsMlqt9p7xgwcPxn/+8x+kpaXhvffew86dOzFkyBDo9Xqz64yPj4darTZO3t7e97lnRETUnNnJnYA1jBw50vg5ICAADz74IDp37owdO3Zg4MCBVeJnz56N2NhY43edTscCS0REdSbrkaubmxtsbW2Rl5dn0p6XlweNRmN2GY1GY1E8AHTq1Alubm44deqU2flKpRKurq4mExERUV3JWlwdHBzQq1cvpKWlGdsMBgPS0tIQFhZmdpmwsDCTeABITU2tNh4Azp8/jytXrqBdu3bSJE5ERFQD2e8Wjo2Nxb///W988cUXOHbsGCZPnoySkhKMHz8eADB27FjMnj3bGD9jxgykpKRg6dKlOH78OBYuXIiMjAxMnToVAFBcXIxZs2bhl19+wdmzZ5GWloannnoKXbp0QUREhCz7SEREzYvs11yjo6Nx+fJlzJ8/H1qtFkFBQUhJSTHetJSTkwMbmz//Bujbty/WrVuHuXPnYs6cOfD19UVycjL8/f0BALa2tjh8+DC++OILFBYWwtPTE4MGDcI777wDpVIpyz4SEVHzohBCCLmTaGh0Oh3UajWKioru6/prh7gtxs9nF0dKkRoREdWjutaD+z4trNPpkJycjGPHjt3vqoiIiJoEi4vriBEjjE9DunHjBoKDgzFixAg8+OCD+OabbyRPkIiIqLGxuLju2rULjzzyCADgu+++gxAChYWF+Oijj/Duu+9KnmBjljzlYePn/Os3ZcyEiIjqk8XFtaioCK1btwYApKSk4JlnnoGTkxMiIyPx+++/S55gY6Y3/Hk5e9PBizJmQkRE9cni4urt7Y309HSUlJQgJSUFgwYNAgBcu3YNKpVK8gSbiq1HLsmdAhER1ROLh+LMnDkTo0ePhouLC3x8fPDoo48CuH26OCAgQOr8GjWF4s/PB3IKZcuDiIjql8XF9eWXX0bv3r2Rm5uLv/3tb8YxqJ06deI117so7h1CRERNUJ0eIhEcHIzg4GAAgF6vx5EjR9C3b1++M5WIiAh1uOY6c+ZMfPrppwBuF9YBAwbgoYcegre3N3bs2CF1fo2aQsFjVyKi5sji4rpx40YEBgYCAL7//nucOXMGx48fxyuvvII333xT8gSJiIgaG4uLa0FBgfH1blu3bsXw4cPxwAMP4IUXXsCRI0ckT5CIiKixsbi4enh44OjRo9Dr9UhJScHf/vY3AEBpaSlsbW0lT5CIiKixsfiGpvHjx2PEiBFo164dFAoFwsPDAQD79u2Dn5+f5AkSERE1NhYX14ULF8Lf3x+5ubkYPny48TVutra2iIuLkzzBxuyW3iB3CkREJIM6DcV59tlnq7TFxMTcdzJNTUc3Z7lTICIiGdTplXM7d+7Ek08+iS5duqBLly4YOnQodu/eLXVujZ6by58vZ3dy4PVoIqLmwuLi+tVXXyE8PBxOTk6YPn06pk+fDkdHRwwcOBDr1q2zRo5NwlNBnnKnQERE9cTi08KLFi3CkiVL8Morrxjbpk+fjmXLluGdd97Bc889J2mCTUWfTm3kToGIiOqJxUeup0+fxpNPPlmlfejQoThz5owkSTUlIR1uPxLSzqZOZ+CJiKgRqtMr59LS0qq0//TTT/D29pYkqaaEj0AkImp+LD4t/Oqrr2L69Ok4ePAg+vbtCwD4+eefsWbNGnz44YeSJ9jY7T9zFQDw9f4cRD7YTuZsiIioPlh85Dp58mQkJibiyJEjmDlzJmbOnIns7GysX78eL730Up2SWLFiBTp06ACVSoXQ0FDs37+/xvikpCT4+flBpVIhICAAW7durTZ20qRJUCgUWL58eZ1yk8qeUwWybp+IiOpPnS4EDhs2DHv27MGVK1dw5coV7NmzB0899VSdEli/fj1iY2OxYMECHDhwAIGBgYiIiEB+fr7Z+L1792LUqFGYMGECsrKyEBUVhaioKGRnZ1eJ/e677/DLL7/A05N36hIRUf2R/S6bZcuW4cUXX8T48ePRvXt3rFq1Ck5OTvjss8/Mxn/44YcYPHgwZs2ahW7duuGdd97BQw89hISEBJO4CxcuYNq0aVi7di3s7e3rY1eIiIgA1PKaa6tWrWp9Y87Vq1drvfHy8nJkZmZi9uzZxjYbGxuEh4cjPT3d7DLp6emIjY01aYuIiEBycrLxu8FgwJgxYzBr1iz06NHjnnmUlZWhrKzM+F2n09V6H4iIiO5Wq+JqreuVBQUF0Ov18PDwMGn38PDA8ePHzS6j1WrNxmu1WuP39957D3Z2dpg+fXqt8oiPj8dbb71lYfZERETm1aq4NqbnBmdmZuLDDz/EgQMHan20PXv2bJOjYZ1Ox2FFRERUZ7Jec3Vzc4OtrS3y8vJM2vPy8owvZL+bRqOpMX737t3Iz89H+/btYWdnBzs7O5w7dw6vvvoqOnToYHadSqUSrq6uJhMREVFdyVpcHRwc0KtXL5OHUhgMBqSlpSEsLMzsMmFhYVUeYpGammqMHzNmDA4fPoyDBw8aJ09PT8yaNQs//vij9XaGiIjo/9TplXNSio2NRUxMDIKDg9G7d28sX74cJSUlGD9+PABg7Nix8PLyQnx8PABgxowZGDBgAJYuXYrIyEgkJiYiIyMDq1evBgC0adMGbdqYPsfX3t4eGo0GXbt2rd+dA/DSgE74ZOfpet8uERHJR/biGh0djcuXL2P+/PnQarUICgpCSkqK8aalnJwc2NzxXN6+ffti3bp1mDt3LubMmQNfX18kJyfD399frl2o0Y/Z2nsHERFRk6IQQgi5k2hodDod1Go1ioqK7vv661MJe3DofBEA4OziSCnSIyKielLXemDxkeuwYcPM3oWrUCigUqnQpUsXPPfcc7Kcgm2Inun1F2NxJSKi5sHiG5rUajW2bdtmHOqiUCiQlZWFbdu2oaKiAuvXr0dgYCB+/vlna+Tb6Njbyv4QLCIiqmcWH7lqNBo899xzSEhIMF4LNRgMmDFjBlq0aIHExERMmjQJb7zxBvbs2SN5wkRERA2dxYdVn376KWbOnGlyk5GNjQ2mTZuG1atXQ6FQYOrUqWYfpN8c3XkCfefJy7LlQURE9cfi4lpRUWH20YTHjx+HXq8HAKhUKr4k/P/c2Q1f7D0rWx5ERFR/LD4tPGbMGEyYMAFz5sxBSEgIAODXX3/FP/7xD4wdOxYAsHPnzlo9ML+5OZhbKHcKRERUDywurh988AE8PDywZMkS42MIPTw88Morr+CNN94AAAwaNAiDBw+WNtNGyru1k/Hz1ZJyGTMhIqL6YnFxtbW1xZtvvok333zT+Gq2u8f+tG/fXprsmgD3Fiq5UyAionp2X09o4gPu783WhteeiYiaG4tvaMrLy8OYMWPg6ekJOzs72NramkxERETNncVHruPGjUNOTg7mzZuHdu3a8a7ge+DTJYmImh+Li+uePXuwe/duBAUFWSGdpsezpaPcKRARUT2z+LSwt7c3j8YsoLLnqXIioubG4uK6fPlyxMXF4ezZs1ZIh4iIqPGz+LRwdHQ0SktL0blzZzg5OcHe3t5k/tWrVyVLjoiIqDGyuLguX77cCmkQERE1HRYX15iYGGvkQURE1GTUqrjqdDrjAyMqn8pUHT5YgoiImrtaFddWrVrh0qVLcHd3R8uWLc2ObRVCQKFQGN+MQ0RE1FzVqrhu27YNrVu3BgBs377dqgkRERE1drUaijNgwADY2dkZP9c01cWKFSvQoUMHqFQqhIaGYv/+/TXGJyUlwc/PDyqVCgEBAdi6davJ/IULF8LPzw/Ozs5o1aoVwsPDsW/fvjrlJrXf867LnQIREVlZnR7cX1hYiP379yM/Px8Gg8FkXuU7XWtr/fr1iI2NxapVqxAaGorly5cjIiICJ06cgLu7e5X4vXv3YtSoUYiPj8cTTzyBdevWISoqCgcOHIC/vz8A4IEHHkBCQgI6deqEGzdu4IMPPsCgQYNw6tQptG3bti67LJm9f1yBr0cLWXMgIiLrUggLH7f0/fffY/To0SguLoarq6vJ9VeFQmHxONfQ0FCEhIQgISEBAGAwGODt7Y1p06YhLi6uSnx0dDRKSkqwefNmY1ufPn0QFBSEVatWmd2GTqeDWq3GTz/9hIEDB94zp8r4oqIiSW7QWrjpN6zZexYAMO+J7pjQr+N9r5OIiKyvrvXA4ic0vfrqq3jhhRdQXFyMwsJCXLt2zThZWljLy8uRmZmJ8PDwPxOysUF4eDjS09PNLpOenm4SDwARERHVxpeXl2P16tVQq9UIDAw0G1NWVgadTmcySamjm7Pxs/6uI30iImp6LC6uFy5cwPTp0+Hk5HTfGy8oKIBer4eHh4dJu4eHB7RardlltFptreI3b94MFxcXqFQqfPDBB0hNTYWbm5vZdcbHx0OtVhsnb2/v+9irqu68ubqkjHdTExE1dRYX14iICGRkZFgjF0k99thjOHjwIPbu3YvBgwdjxIgRyM/PNxs7e/ZsFBUVGafc3FxJc7nz1Pm5KyWSrpuIiBoei29oioyMxKxZs3D06FEEBARUebbw0KFDa70uNzc32NraIi8vz6Q9Ly8PGo3G7DIajaZW8c7OzujSpQu6dOmCPn36wNfXF59++ilmz55dZZ1KpRJKpbLWeVtKaffn3zDJBy9i+cieVtsWERHJz+Li+uKLLwIA3n777SrzLH2IhIODA3r16oW0tDRERUUBuH1DU1paGqZOnWp2mbCwMKSlpWHmzJnGttTUVISFhdW4LYPBgLKyslrnJqWhgZ54feNhWbZNRET1z+LievfQm/sVGxuLmJgYBAcHo3fv3li+fDlKSkowfvx4ALeH9nh5eSE+Ph4AMGPGDAwYMABLly5FZGQkEhMTkZGRgdWrVwMASkpKsGjRIgwdOhTt2rVDQUEBVqxYgQsXLmD48OGS5l5bfKcrEVHzUqdxrlKKjo7G5cuXMX/+fGi1WgQFBSElJcV401JOTg5sbP48rdq3b1+sW7cOc+fOxZw5c+Dr64vk5GTjGFdbW1scP34cX3zxBQoKCtCmTRuEhIRg9+7d6NGjhyz7SEREzUutxrl+9NFHmDhxIlQqFT766KMaY6dPny5ZcnKRepwrAHSI22L8fHZxpCTrJCIi66prPajVkesHH3yA0aNHG4e1VEehUDSJ4kpERHQ/alVcz5w5Y/Yz1d7YMB/8J/0cNK4quVMhIiIrs3icK9VNcIfbbxXS3bwlcyZERGRtdbqh6fz589i0aRNycnJQXl5uMm/ZsmWSJNbUnNTefhtOaTmf0ERE1NRZXFzT0tIwdOhQdOrUCcePH4e/vz/Onj0LIQQeeugha+TYJJwuKJY7BSIiqicWnxaePXs2XnvtNRw5cgQqlQrffPMNcnNzMWDAANnGkTYGl4puGj/zna5ERE2bxcX12LFjxne22tnZ4caNG3BxccHbb7+N9957T/IEm4pu7f68hft/R/NqiCQiosbO4uLq7OxsvM7arl07/PHHH8Z5BQUF0mXWxDwV6Gn8XFpeIWMmRERkbRZfc+3Tpw/27NmDbt264fHHH8err76KI0eO4Ntvv0WfPn2skWOTYGf7598xt/QWvZ+eiIgaGYuL67Jly1BcfPvmnLfeegvFxcVYv349fH19eadwDWzueKfr9Zs8ciUiasosKq56vR7nz5/Hgw8+COD2KeJVq1ZZJbGm5s53un69PwfxTwfImA0REVmTRddcbW1tMWjQIFy7ds1a+TRZD3i4yJ0CERHVE4tvaPL398fp06etkUuT5uQg+wuIiIionlhcXN9991289tpr2Lx5My5dugSdTmcyERERNXe1Ppx6++238eqrr+Lxxx8HAAwdOtTkOqIQAgqFAno9H+9HRETNW62L61tvvYVJkyZh+/bt1syn2bhSXIY2Lkq50yAiIiuodXGtfKf6gAEDrJZMc9L7H2n44x+Py50GERFZgUXXXO88DUyWc7S3NX7WG/ggCSKipsqiW1gfeOCBexbYq1ev3ldCTdn/XumPR5bwtDoRUVNnUXF96623oFarrZVLk+ei5HAcIqLmwKLf9iNHjoS7u7u1cmnyHOwsHvlERESNUK1/21vzeuuKFSvQoUMHqFQqhIaGYv/+/TXGJyUlwc/PDyqVCgEBAdi6datx3q1bt/DGG28gICAAzs7O8PT0xNixY3Hx4kWr5V9bShZXIqJmoda/7SvvFpba+vXrERsbiwULFuDAgQMIDAxEREQE8vPzzcbv3bsXo0aNwoQJE5CVlYWoqChERUUhOzsbAFBaWooDBw5g3rx5OHDgAL799lucOHECQ4cOtUr+lrjzzThERNR0KYS1qmYthYaGIiQkBAkJCQAAg8EAb29vTJs2DXFxcVXio6OjUVJSgs2bNxvb+vTpg6CgoGpfIvDrr7+id+/eOHfuHNq3b3/PnHQ6HdRqNYqKiuDq6nrPeEt0iNti/Pzty33xUPtWkq6fiIikU9d6IOuhVHl5OTIzMxEeHm5ss7GxQXh4ONLT080uk56ebhIPABEREdXGA0BRUREUCgVatmxpdn5ZWZksj3Gcti6rXrZDRET1S9biWlBQAL1eDw8PD5N2Dw8PaLVas8totVqL4m/evIk33ngDo0aNqvavjvj4eKjVauPk7e1dh72x3IXCG/WyHSIiql9N+iLgrVu3MGLECAghsHLlymrjZs+ejaKiIuOUm5tbj1kSEVFTI+vASzc3N9ja2iIvL8+kPS8vDxqNxuwyGo2mVvGVhfXcuXPYtm1bjefKlUollEo+55eIiKQh65Grg4MDevXqhbS0NGObwWBAWloawsLCzC4TFhZmEg8AqampJvGVhfX333/HTz/9hDZt2lhnB+rg3Sh/uVMgIiIrk/20cGxsLP7973/jiy++wLFjxzB58mSUlJRg/PjxAICxY8di9uzZxvgZM2YgJSUFS5cuxfHjx7Fw4UJkZGRg6tSpAG4X1meffRYZGRlYu3Yt9Ho9tFottFotysvLZdnHO0X19JI7BSIisjLZn8cXHR2Ny5cvY/78+dBqtQgKCkJKSorxpqWcnBzY2Pz5N0Dfvn2xbt06zJ07F3PmzIGvry+Sk5Ph73/7iPDChQvYtGkTACAoKMhkW9u3b8ejjz5aL/tVnbsfgXhLb4A9x78SETUpso9zbYisOc4VMB3r+vKjnfH6YD/Jt0FERPevUY5zba7G9PExfv7Xjj9wS2+QMRsiIpIai6sMXovoavL90z1nZMqEiIisgcVVBnc/wH/xD8dlyoSIiKyBxVUGKntbuVMgIiIrYnElIiKSGIsrERGRxFhcZdK+tZPJd46IIiJqOlhcZbJmfIjJ95BFP8mUCRERSY3FVSad2rqYfC8olv/RjEREJA0W1wbk8vUyuVMgIiIJsLjKqP8DbU2+T/oqU6ZMiIhISiyuMnrmIdM35GSeu8Ybm4iImgAWVxkNDfREi7vekvPlL+dkyoaIiKTC4iojhUKBhNEPmbQlbDslUzZERCQVFleZ9fd1M/mef70MsesPooJvyiEiarRYXGWmUCiqtH2bdQFbjlySIRsiIpICi2sDsPjpgCptPD1MRNR4sbg2ACN7t6/S9nt+MV+iTkTUSLG4NmC+b/6Am7f0cqdBREQWYnFtIDLnhpttD36XzxwmImpsZC+uK1asQIcOHaBSqRAaGor9+/fXGJ+UlAQ/Pz+oVCoEBARg69atJvO//fZbDBo0CG3atIFCocDBgwetmL102rgozbYXl1VAW3SznrMhIqL7IWtxXb9+PWJjY7FgwQIcOHAAgYGBiIiIQH5+vtn4vXv3YtSoUZgwYQKysrIQFRWFqKgoZGdnG2NKSkrQr18/vPfee/W1G5LZOv0Rs+194tNQVsHTw0REjYVCyPi8vdDQUISEhCAhIQEAYDAY4O3tjWnTpiEuLq5KfHR0NEpKSrB582ZjW58+fRAUFIRVq1aZxJ49exYdO3ZEVlYWgoKCLMpLp9NBrVajqKgIrq6ulu/YfdAbBDrP2Wp23qNd22LN+N71mg8RUXNW13og25FreXk5MjMzER7+57VGGxsbhIeHIz093ewy6enpJvEAEBERUW18bZWVlUGn05lMcrG1UWDlXU9tqrTjxGVcKLxRzxkREZGlZCuuBQUF0Ov18PDwMGn38PCAVqs1u4xWq7Uovrbi4+OhVquNk7e3932t734NCWiHD0cGmZ338OJt6BC3BTMSs1BYynfAEhE1RLLf0NQQzJ49G0VFRcYpNzdX7pTwVJAX0mf/tdr5/z14ETGf/1qPGRERUW3JVlzd3Nxga2uLvLw8k/a8vDxoNBqzy2g0Govia0upVMLV1dVkagjaqR1rnH8otxArtp/ic4iJiBoY2Yqrg4MDevXqhbS0NGObwWBAWloawsLCzC4TFhZmEg8Aqamp1cY3BSfeHVzj/H/+eAJd3vwBHeK24MfftNj7R0E9ZUZERNWxu3eI9cTGxiImJgbBwcHo3bs3li9fjpKSEowfPx4AMHbsWHh5eSE+Ph4AMGPGDAwYMABLly5FZGQkEhMTkZGRgdWrVxvXefXqVeTk5ODixYsAgBMnTgC4fdR7v0e4clDa2eLs4khErfgZB3MLa4x96ctMAMBf/dzxaUyw2ZcCEBGR9cl6zTU6Ohrvv/8+5s+fj6CgIBw8eBApKSnGm5ZycnJw6dKfb4fp27cv1q1bh9WrVyMwMBAbN25EcnIy/P39jTGbNm1Cz549ERkZCQAYOXIkevbsWWWoTmOzZnwIPogOREc353vGbjuej46zt+Lt74+i6MatesiOiIjuJOs414ZKznGutXGtpBw930mtdbxCAWTO/RtaOztYMSsioqan0Y1zpbpr5eyAs4sjse3VAbWKFwJ46J1U6A38O4qIqD7wyNWMhn7kejchBP64XIzwZbvuGbv46QCzr7gjIqKq6loPWFzNaGzFtVJBcRk2ZORiScqJe8aeiX+cNzwREd0Di6uEGmtxvVuHuC01zj/6dgScHGS9YZyIqEHjNVeqInnKwzXO7z7/R75th4jICnjkakZTOXK9U57uJkL/kWZ23s5Zj8Knzb2H+BARNTc8cqUaebiqcGj+IDjYVf0nH/DPHfjwp99lyIqIqGnikasZTfHI9U6n8osRvmyn2Xm7Zj2G9m2c6jkjIqKGiUeuVGtd3F3Qs31Ls/P6/3M7Ij/azTGxRET3gcW1mfru5Yfh3kJpdt5vF3XoPGcr/t/u0yyyRER1wNPCZjT108J32nY8Dy+syahV7Nbpj8BFacfTxkTUbHCcq4SaU3GtdKW4DL3e/alWsaN6t8fQQE/crNCjb+c2UNrZWjk7IiJ5sLhKqDkWVwDIOHsVhaW38Pf/1O5I9m5j+vjgnSh/FJaWo/JsMl8WQESNGYurhJprca0khED6H1fw3P/bJ8n6drz2KNq2UMJGoYDSzga3DAY42Nrw8YtE1OCxuEqouRfXO12/eQv/2HocZbf0+DbrglW20UJlB1eVPbZM7wdXlT0MQsDOlvfaEZH8WFwlxOJavbIKPbYdy8fktQdk2f66F0OhLbqJfr5uKC3TI/tiEQZ118AgBI5d0qFTWxeoHe2rLKc3CBy9qIOPmxNcVVXnExGZw+IqIRbX2sm5Uop2LVW4cO0GSsorEPnRHrlTqjUXpR3efqoHEvfnoqdPS/y9Xye4Otrht4s6XL5eBvcWSnx/6BI8XJV4zM8d7Vs7IedqKUrL9VAAsLVRoIu7C1T293cz19WScriq7IxH6pU/jjWdMi8oLoOtQoFWTfx6dr7uJtq2UMp2+SD3aikUCuAvre7/7nghRIO4DHIy7zpaOTnAIATcXJSwtak5p1t6A2wUCtzSG+7r//Wbt/QmywshcK30lsk9GQ2lj+7G4iohFldpCCFQVmGAva0Nsi8U4bWkQ/g9v1jutEgm9rYK3NLL/+uml08rZJ67JncaCPBS48iFIrnTAAD06+KGPacK5E5Dcq8P7oqXH+1yX+tgcZUQi2v9MhgEsnIL8dvFIpRXGPDulmNyp0RETUT2WxFwUdb91Zp1rQd8mSfJzsZGgV4+rdDLpxUA4O+PdDLO0928hRZKOwgB7DiZD38vNVxV9rh5S4+dJy/jt4s6rN51Gr18WuFk3nVcv1kh124QUQN0P4X1fvDI1QweuTZuBoOAjZlrSRV6A25WGGCjAOxsbOBgZ4PrN28hT3cTpeV6tFM7ooXq9g/iv7afggDQ0c0ZGzJyUVxWgewLOswe4odzV0uxbl+Ocb2tnOxxrfRWfe0eEdXSi490xJuR3e9rHXWuB6IBSEhIED4+PkKpVIrevXuLffv21Ri/YcMG0bVrV6FUKoW/v7/YsmWLyXyDwSDmzZsnNBqNUKlUYuDAgeLkyZO1zqeoqEgAEEVFRXXaHyKpXL95S5wrKKmXbRkMBpPvFXqDuFhYKtl6b5RXCCGEKL55S1wrKat1HnXZVk1ulFeIkrJbdd5GdSr0BlGhN4iyW3qTdr3eUGV797OPd67DYDCIy9dvVjvvXsor9CKv6IYQQojSsopqt1NTDpa4VaGXbN9vVejvHSiButYD2QcTrl+/HrGxsViwYAEOHDiAwMBAREREID8/32z83r17MWrUKEyYMAFZWVmIiopCVFQUsrOzjTFLlizBRx99hFWrVmHfvn1wdnZGREQEbt68WV+7RSSJ+nyW8913atraKNBO7SjZeivvFnVW2qGlU/V3Ot/PHaO1WVZlbwsnB+lPFdraKGBro6jyzmQbG0WV7UlxV6xCoYBCoYCbS9UXcFTOuxd7Wxu4u6oAAI4O5u8Grmk9lu6HnUQPj1EoFA1+LLzsp4VDQ0MREhKChIQEAIDBYIC3tzemTZuGuLi4KvHR0dEoKSnB5s2bjW19+vRBUFAQVq1aBSEEPD098eqrr+K1114DABQVFcHDwwNr1qzByJEj75kTTwsTERHQSN/nWl5ejszMTISHhxvbbGxsEB4ejvT0dLPLpKenm8QDQEREhDH+zJkz0Gq1JjFqtRqhoaHVrrOsrAw6nc5kIiIiqitZi2tBQQH0ej08PDxM2j08PKDVas0uo9Vqa4yv/K8l64yPj4darTZO3t7eddofIiIigC9LBwDMnj0bRUVFxik3N1fulIiIqBGTtbi6ubnB1tYWeXl5Ju15eXnQaDRml9FoNDXGV/7XknUqlUq4urqaTERERHUla3F1cHBAr169kJaWZmwzGAxIS0tDWFiY2WXCwsJM4gEgNTXVGN+xY0doNBqTGJ1Oh3379lW7TiIiIinJ/oSm2NhYxMTEIDg4GL1798by5ctRUlKC8ePHAwDGjh0LLy8vxMfHAwBmzJiBAQMGYOnSpYiMjERiYiIyMjKwevVqALdv0Z45cybeffdd+Pr6omPHjpg3bx48PT0RFRUl124SEVEzIntxjY6OxuXLlzF//nxotVoEBQUhJSXFeENSTk4ObGz+PMDu27cv1q1bh7lz52LOnDnw9fVFcnIy/P39jTGvv/46SkpKMHHiRBQWFqJfv35ISUmBSqWqVU6Vo5N41zARUfNWWQcsHbUq+zjXhuj8+fO8Y5iIiIxyc3Pxl7/8pdbxLK5mGAwGXLx4ES1atLivp4nodDp4e3sjNzeXN0ndgf1SPfaNeewX89gv1ZOqb4QQuH79Ojw9PU3Oot6L7KeFGyIbGxuL/kK5F96BbB77pXrsG/PYL+axX6onRd+o1WqLl+E4VyIiIomxuBIREUmMxdWKlEolFixYAKWy6lsrmjP2S/XYN+axX8xjv1RP7r7hDU1EREQS45ErERGRxFhciYiIJMbiSkREJDEWVyIiIomxuFrJihUr0KFDB6hUKoSGhmL//v1ypySp+Ph4hISEoEWLFnB3d0dUVBROnDhhEnPz5k1MmTIFbdq0gYuLC5555pkqrwLMyclBZGQknJyc4O7ujlmzZqGiosIkZseOHXjooYegVCrRpUsXrFmzxtq7J5nFixcbXyZRqbn2y4ULF/D888+jTZs2cHR0REBAADIyMozzhRCYP38+2rVrB0dHR4SHh+P33383WcfVq1cxevRouLq6omXLlpgwYQKKi4tNYg4fPoxHHnkEKpUK3t7eWLJkSb3sX13p9XrMmzcPHTt2hKOjIzp37ox33nnH5Fm2zaVvdu3ahSeffBKenp5QKBRITk42mV+f/ZCUlAQ/Pz+oVCoEBARg69atlu2MIMklJiYKBwcH8dlnn4nffvtNvPjii6Jly5YiLy9P7tQkExERIT7//HORnZ0tDh48KB5//HHRvn17UVxcbIyZNGmS8Pb2FmlpaSIjI0P06dNH9O3b1zi/oqJC+Pv7i/DwcJGVlSW2bt0q3NzcxOzZs40xp0+fFk5OTiI2NlYcPXpUfPzxx8LW1lakpKTU6/7Wxf79+0WHDh3Egw8+KGbMmGFsb479cvXqVeHj4yPGjRsn9u3bJ06fPi1+/PFHcerUKWPM4sWLhVqtFsnJyeLQoUNi6NChomPHjuLGjRvGmMGDB4vAwEDxyy+/iN27d4suXbqIUaNGGecXFRUJDw8PMXr0aJGdnS2+/vpr4ejoKD755JN63V9LLFq0SLRp00Zs3rxZnDlzRiQlJQkXFxfx4YcfGmOaS99s3bpVvPnmm+Lbb78VAMR3331nMr+++uHnn38Wtra2YsmSJeLo0aNi7ty5wt7eXhw5cqTW+8LiagW9e/cWU6ZMMX7X6/XC09NTxMfHy5iVdeXn5wsAYufOnUIIIQoLC4W9vb1ISkoyxhw7dkwAEOnp6UKI2z9INjY2QqvVGmNWrlwpXF1dRVlZmRBCiNdff1306NHDZFvR0dEiIiLC2rt0X65fvy58fX1FamqqGDBggLG4Ntd+eeONN0S/fv2qnW8wGIRGoxH//Oc/jW2FhYVCqVSKr7/+WgghxNGjRwUA8euvvxpjfvjhB6FQKMSFCxeEEEL861//Eq1atTL2U+W2u3btKvUuSSYyMlK88MILJm1PP/20GD16tBCi+fbN3cW1PvthxIgRIjIy0iSf0NBQ8dJLL9U6f54Wllh5eTkyMzMRHh5ubLOxsUF4eDjS09NlzMy6ioqKAACtW7cGAGRmZuLWrVsm/eDn54f27dsb+yE9PR0BAQHG1wsCQEREBHQ6HX777TdjzJ3rqIxp6H05ZcoUREZGVsm9ufbLpk2bEBwcjOHDh8Pd3R09e/bEv//9b+P8M2fOQKvVmuyTWq1GaGioSb+0bNkSwcHBxpjw8HDY2Nhg3759xpj+/fvDwcHBGBMREYETJ07g2rVr1t7NOunbty/S0tJw8uRJAMChQ4ewZ88eDBkyBEDz7ps71Wc/SPHzxeIqsYKCAuj1epNfjADg4eEBrVYrU1bWZTAYMHPmTDz88MPG9+pqtVo4ODigZcuWJrF39oNWqzXbT5XzaorR6XS4ceOGNXbnviUmJuLAgQOIj4+vMq+59svp06excuVK+Pr64scff8TkyZMxffp0fPHFFwD+3K+afm60Wi3c3d1N5tvZ2aF169YW9V1DExcXh5EjR8LPzw/29vbo2bMnZs6cidGjRwNo3n1zp/rsh+piLOknvhWH7tuUKVOQnZ2NPXv2yJ2K7HJzczFjxgykpqZCpVLJnU6DYTAYEBwcjH/84x8AgJ49eyI7OxurVq1CTEyMzNnJa8OGDVi7di3WrVuHHj164ODBg5g5cyY8PT2bfd80ZjxylZibmxtsbW2r3P2Zl5cHjUYjU1bWM3XqVGzevBnbt283eU2fRqNBeXk5CgsLTeLv7AeNRmO2nyrn1RTj6uoKR0dHqXfnvmVmZiI/Px8PPfQQ7OzsYGdnh507d+Kjjz6CnZ0dPDw8mmW/tGvXDt27dzdp69atG3JycgD8uV81/dxoNBrk5+ebzK+oqMDVq1ct6ruGZtasWcaj14CAAIwZMwavvPKK8cxHc+6bO9VnP1QXY0k/sbhKzMHBAb169UJaWpqxzWAwIC0tDWFhYTJmJi0hBKZOnYrvvvsO27ZtQ8eOHU3m9+rVC/b29ib9cOLECeTk5Bj7ISwsDEeOHDH5YUhNTYWrq6vxF3FYWJjJOipjGmpfDhw4EEeOHMHBgweNU3BwMEaPHm383Bz75eGHH64yVOvkyZPw8fEBAHTs2BEajcZkn3Q6Hfbt22fSL4WFhcjMzDTGbNu2DQaDAaGhocaYXbt24datW8aY1NRUdO3aFa1atbLa/t2P0tLSKi/htrW1hcFgANC8++ZO9dkPkvx81frWJ6q1xMREoVQqxZo1a8TRo0fFxIkTRcuWLU3u/mzsJk+eLNRqtdixY4e4dOmScSotLTXGTJo0SbRv315s27ZNZGRkiLCwMBEWFmacXznkZNCgQeLgwYMiJSVFtG3b1uyQk1mzZoljx46JFStWNOghJ+bcebewEM2zX/bv3y/s7OzEokWLxO+//y7Wrl0rnJycxFdffWWMWbx4sWjZsqX473//Kw4fPiyeeuops8MsevbsKfbt2yf27NkjfH19TYZZFBYWCg8PDzFmzBiRnZ0tEhMThZOTU4MabnK3mJgY4eXlZRyK8+233wo3Nzfx+uuvG2OaS99cv35dZGVliaysLAFALFu2TGRlZYlz584JIeqvH37++WdhZ2cn3n//fXHs2DGxYMECDsVpKD7++GPRvn174eDgIHr37i1++eUXuVOSFACz0+eff26MuXHjhnj55ZdFq1athJOTkxg2bJi4dOmSyXrOnj0rhgwZIhwdHYWbm5t49dVXxa1bt0xitm/fLoKCgoSDg4Po1KmTyTYag7uLa3Ptl++//174+/sLpVIp/Pz8xOrVq03mGwwGMW/ePOHh4SGUSqUYOHCgOHHihEnMlStXxKhRo4SLi4twdXUV48ePF9evXzeJOXTokOjXr59QKpXCy8tLLF682Or7dj90Op2YMWOGaN++vVCpVKJTp07izTffNBkq0lz6Zvv27WZ/r8TExAgh6rcfNmzYIB544AHh4OAgevToIbZs2WLRvvCVc0RERBLjNVciIiKJsbgSERFJjMWViIhIYiyuREREEmNxJSIikhiLKxERkcRYXImIiCTG4kpERCQxFlcikpRCoUBycrLcaRDJisWVqAkZN24cFApFlWnw4MFyp0bUrPB9rkRNzODBg/H555+btCmVSpmyIWqeeORK1MQolUpoNBqTqfJVWgqFAitXrsSQIUPg6OiITp06YePGjSbLHzlyBH/961/h6OiINm3aYOLEiSguLjaJ+eyzz9CjRw8olUq0a9cOU6dONZlfUFCAYcOGwcnJCb6+vti0aZN1d5qogWFxJWpm5s2bh2eeeQaHDh3C6NGjMXLkSBw7dgwAUFJSgoiICLRq1Qq//vorkpKS8NNPP5kUz5UrV2LKlCmYOHEijhw5gk2bNqFLly4m23jrrbcwYsQIHD58GI8//jhGjx6Nq1ev1ut+EsnKonfoEFGDFhMTI2xtbYWzs7PJtGjRIiHE7VcFTpo0yWSZ0NBQMXnyZCGEEKtXrxatWrUSxcXFxvlbtmwRNjY2xvcRe3p6ijfffLPaHACIuXPnGr8XFxcLAOKHH36QbD+JGjpecyVqYh577DGsXLnSpK1169bGz2FhYSbzwsLCcPDgQQDAsWPHEBgYCGdnZ+P8hx9+GAaDASdOnIBCocDFixcxcODAGnN48MEHjZ+dnZ3h6uqK/Pz8uu4SUaPD4krUxDg7O1c5TSsVR0fHWsXZ29ubfFcoFDAYDNZIiahB4jVXombml19+qfK9W7duAIBu3brh0KFDKCkpMc7/+eefYWNjg65du6JFixbo0KED0tLS6jVnosaGR65ETUxZWRm0Wq1Jm52dHdzc3AAASUlJCA4ORr9+/bB27Vrs378fn376KQBg9OjRWLBgAWJiYrBw4UJcvnwZ06ZNw5gxY+Dh4QEAWLhwISZNmgR3d3cMGTIE169fx88//4xp06bV744SNWAsrkRNTEpKCtq1a2fS1rVrVxw/fhzA7Tt5ExMT8fLLL6Ndu3b4+uuv0b17dwCAk5MTfvzxR8yYMQMhISFwcnLCM888g2XLlhnXFRMTg5s3b+KDDz7Aa6+9Bjc3Nzz77LP1t4NEjYBCCCHkToKI6odCocB3332HqKgouVMhatJ4zZWIiEhiLK5EREQS4zVXomaEV4GI6gePXImIiCTG4kpERCQxFlciIiKJsbgSERFJjMWViIhIYiyuREREEmNxJSIikhiLKxERkcT+PymIA910al8DAAAAAElFTkSuQmCC\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "  0%|          | 0/10000 [00:00<?, ?it/s]"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "5408dfe7cb3c44b080d78f47fb8c5c73"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 500x300 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "  0%|          | 0/10000 [00:00<?, ?it/s]"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "af8a0956cb0544f39ecd9f876062dba8"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 500x300 with 1 Axes>"
            ],
            "image/png": 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07wf/XW7atElMmTLFiD1vuLrsvxD3flcMlY7CwkKhUqnEX/7yl6ZIt1WQCdGId54QkUm89dZb+PLLL/Hbb7/VOrSHmo8zZ86ge/fu2LVrl94pcKIqfBIWUQuwd+9eLFy4kMW3Bdm7dy9CQkJYfKlGPAImIiIyAx4BExERmQELMBERkRk0iwK8du1a+Pj4QKVSITg4GEeOHKk1PjExEf7+/lCpVAgICMDu3bv15i9evBj+/v6wtbWFk5MTQkNDpQHlVXx8fCCTyfSmZcuWmXzfiIiIDDF7Ad62bRtiYmIQFxeHY8eOoVevXggLC0NOTo7B+MOHD2PChAmYMmUKMjMzERERgYiICL2n7jz66KNYs2YNTp48iYMHD8LHxwfDhw+v9ti7t99+Gzdv3pSmGTNmNOq+EhERVTH7TVjBwcHo168f1qxZA+DeM3O9vb0xY8YMzJs3r1p8ZGQkSkpKsGvXLqltwIABCAwMxPr16w1uo6ioCA4ODvjhhx8wbNgwAPeOgGfPno3Zs2fXK2+dTocbN26gXbt2dX4xABERtS5CCNy+fRuenp7VXt5Sl4XNpqysTCgUCvHNN9/otU+cOFGMGjXK4DLe3t7iww8/1GtbtGiR6NmzZ43beP/994WDg4PeQPmOHTsKd3d34ezsLAIDA8Xy5ctFRUVFjbnevXtXFBYWStOZM2fq/C5OTpw4ceLUuqf7349eV2Z9FGVeXh60Wi3c3d312t3d3Q0+phC497o0Q/EPvkZt165dGD9+PO7cuQMPDw+kpKToPbN25syZ6NOnD5ydnXH48GHExsbi5s2bWLlypcHtxsfHY8mSJdXar169qvfwciIiajuKiorg7e0tPZ7WGK32WdBDhw7F8ePHkZeXh08//RTjxo1Denq69KqymJgYKbZnz56wsrLCyy+/jPj4eIMPO4iNjdVbpqrT7e3tWYCJiNq4+lyKNOtNWK6urlAoFMjOztZrz87OrvFtN2q1uk7xtra26NKlCwYMGICNGzfCwsKi2kPF7xccHIzKysoaH5quVCqlYsuiS0REDWXWAmxlZYW+ffsiNTVVatPpdEhNTUVISIjBZUJCQvTigXtvZakp/v71lpWV1Tj/+PHjkMvlei/zJiIiaixmPwUdExOD6OhoBAUFSe+YLSkpkV40PXHiRHh5eSE+Ph4AMGvWLAwePBgrVqxAeHg4EhIScPToUWzYsAHAvfd1Ll26FKNGjYKHhwfy8vKwdu1aXL9+HWPHjgUApKWlIT09HUOHDkW7du2QlpaGOXPm4IUXXoCTk5N5OoKIiNoUsxfgyMhI5ObmYtGiRdBoNAgMDERycrJ0o1VWVpberd0DBw7E1q1bsWDBAsyfPx9+fn5ISkpCjx49AAAKhQLnzp3D559/jry8PLi4uKBfv344cOAAunfvDuDe6eSEhAQsXrwYZWVl8PX1xZw5c/Su8RIRETUms48DbqmqxhYXFhbyejARURvVkFpg9idhERERtUUswGaUmXULEz87gl+zb5s7FSIiamIswGY0+p+Hsf/XXEz6rPaXTxARUevDAtwM3Ci8a+4UiIioibEANwN8lwMRUdvDAkxERGQGLMDNgJyHwEREbQ4LcDPA8ktE1PawADcDPAAmImp7WICbgQotH0ZGRNTWsAATERGZAQswERGRGbAAExERmQELMBERkRmwAJuRt7O19DPfCklE1LawAJtReaVO+vl6QakZMyEioqbGAtxM8ACYiKhtYQEmIiIyAxZgM5LxIZRERG0WC7AZ8RGURERtV7MowGvXroWPjw9UKhWCg4Nx5MiRWuMTExPh7+8PlUqFgIAA7N69W2/+4sWL4e/vD1tbWzg5OSE0NBTp6el6Mfn5+YiKioK9vT0cHR0xZcoUFBcXm3zfiIiIDDF7Ad62bRtiYmIQFxeHY8eOoVevXggLC0NOTo7B+MOHD2PChAmYMmUKMjMzERERgYiICJw6dUqKefTRR7FmzRqcPHkSBw8ehI+PD4YPH47c3FwpJioqCqdPn0ZKSgp27dqF/fv3Y+rUqY2+v0RERAAgE2YegBocHIx+/fphzZo1AACdTgdvb2/MmDED8+bNqxYfGRmJkpIS7Nq1S2obMGAAAgMDsX79eoPbKCoqgoODA3744QcMGzYMZ8+exWOPPYaff/4ZQUFBAIDk5GSMHDkS165dg6en50PzrlpnYWEh7O3t67Pr8Jn3nfTzwblD8YiTTb3WQ0RE5tGQWmDWI+Dy8nJkZGQgNDRUapPL5QgNDUVaWprBZdLS0vTiASAsLKzG+PLycmzYsAEODg7o1auXtA5HR0ep+AJAaGgo5HJ5tVPVVcrKylBUVKQ3ERER1ZdZC3BeXh60Wi3c3d312t3d3aHRaAwuo9Fo6hS/a9cu2NnZQaVS4cMPP0RKSgpcXV2ldbi5uenFW1hYwNnZucbtxsfHw8HBQZq8vb2N2lciIqL7mf0acGMZOnQojh8/jsOHD2PEiBEYN25cjdeV6yI2NhaFhYXSdPXqVRNmS0REbY1ZC7CrqysUCgWys7P12rOzs6FWqw0uo1ar6xRva2uLLl26YMCAAdi4cSMsLCywceNGaR0PFuPKykrk5+fXuF2lUgl7e3u9yZRkHJNERNSmmLUAW1lZoW/fvkhNTZXadDodUlNTERISYnCZkJAQvXgASElJqTH+/vWWlZVJ6ygoKEBGRoY0f8+ePdDpdAgODq7v7hAREdWZhbkTiImJQXR0NIKCgtC/f3+sWrUKJSUlmDx5MgBg4sSJ8PLyQnx8PABg1qxZGDx4MFasWIHw8HAkJCTg6NGj2LBhAwCgpKQES5cuxahRo+Dh4YG8vDysXbsW169fx9ixYwEA3bp1w4gRI/DSSy9h/fr1qKiowPTp0zF+/Pg63QHdGHj8S0TUtpi9AEdGRiI3NxeLFi2CRqNBYGAgkpOTpRutsrKyIJf/90B94MCB2Lp1KxYsWID58+fDz88PSUlJ6NGjBwBAoVDg3Llz+Pzzz5GXlwcXFxf069cPBw4cQPfu3aX1bNmyBdOnT8ewYcMgl8sxZswYrF69uml3/j58FwMRUdti9nHALZWpxwEfeGsovJ05DpiIqCVpseOAiYiI2ioW4GaC5yGIiNoWFuBmQvAqMBFRm8IC3ExYWyrMnQIRETUhFuBmQiHnQCQioraEBZiIiMgMWICJiIjMgAWYiIjIDFiAm4mfL+ebOwUiImpCLMDNxK/ZxeZOgYiImhALcDPBm6CJiNoWFmAiIiIzYAFuJmQyHgITEbUlLMBERERmwALcTPxyrcDcKRARURNiAW4m/nM629wpEBFRE2IBJiIiMgMWYCIiIjNgASYiIjIDFmAiIiIzYAE2o5ee8DV3CkREZCbNogCvXbsWPj4+UKlUCA4OxpEjR2qNT0xMhL+/P1QqFQICArB7925pXkVFBebOnYuAgADY2trC09MTEydOxI0bN/TW4ePjA5lMpjctW7asUfavJq52yibdHhERNR9mL8Dbtm1DTEwM4uLicOzYMfTq1QthYWHIyckxGH/48GFMmDABU6ZMQWZmJiIiIhAREYFTp04BAO7cuYNjx45h4cKFOHbsGHbs2IHz589j1KhR1db19ttv4+bNm9I0Y8aMRt1XIiKiKjIhhDBnAsHBwejXrx/WrFkDANDpdPD29saMGTMwb968avGRkZEoKSnBrl27pLYBAwYgMDAQ69evN7iNn3/+Gf3798eVK1fQoUMHAPeOgGfPno3Zs2fXK++ioiI4ODigsLAQ9vb29VrHV0ev4q3tv0ifLy8Lr9d6iIjIPBpSC8x6BFxeXo6MjAyEhoZKbXK5HKGhoUhLSzO4TFpaml48AISFhdUYDwCFhYWQyWRwdHTUa1+2bBlcXFzQu3dvvP/++6isrKxxHWVlZSgqKtKbGuovvb0avA4iImqZLMy58by8PGi1Wri7u+u1u7u749y5cwaX0Wg0BuM1Go3B+Lt372Lu3LmYMGGC3reTmTNnok+fPnB2dsbhw4cRGxuLmzdvYuXKlQbXEx8fjyVLlhizew9loTD7FQAiIjITsxbgxlZRUYFx48ZBCIF169bpzYuJiZF+7tmzJ6ysrPDyyy8jPj4eSmX1m6NiY2P1likqKoK3t3fjJU9ERK2aWQuwq6srFAoFsrP1n4OcnZ0NtVptcBm1Wl2n+Krie+XKFezZs+eh5+aDg4NRWVmJy5cvo2vXrtXmK5VKg4WZiIioPsx6DtTKygp9+/ZFamqq1KbT6ZCamoqQkBCDy4SEhOjFA0BKSopefFXxvXDhAn744Qe4uLg8NJfjx49DLpfDzc2tnntDRERUd2Y/BR0TE4Po6GgEBQWhf//+WLVqFUpKSjB58mQAwMSJE+Hl5YX4+HgAwKxZszB48GCsWLEC4eHhSEhIwNGjR7FhwwYA94rvc889h2PHjmHXrl3QarXS9WFnZ2dYWVkhLS0N6enpGDp0KNq1a4e0tDTMmTMHL7zwApycnMzTEURE1KaYvQBHRkYiNzcXixYtgkajQWBgIJKTk6UbrbKysiCX//dAfeDAgdi6dSsWLFiA+fPnw8/PD0lJSejRowcA4Pr169i5cycAIDAwUG9be/fuxZAhQ6BUKpGQkIDFixejrKwMvr6+mDNnjt41XiIiosZk9nHALZUpxgEDgM+876SfOQ6YiKhlabHjgImIiNoqFmAiIiIzYAEmIiIygwYX4KKiIiQlJeHs2bOmyIeIiKhNMLoAjxs3TnpxQmlpKYKCgjBu3Dj07NkTX3/9tckTJCIiao2MLsD79+/HE088AQD45ptvIIRAQUEBVq9ejXfffdfkCbYlWh1vSCciaiuMLsCFhYVwdnYGACQnJ2PMmDGwsbFBeHg4Lly4YPIE25K3vz1t7hSIiKiJGF2Avb29kZaWhpKSEiQnJ2P48OEAgFu3bkGlUpk8wbbk87Qr5k6BiIiaiNFPwpo9ezaioqJgZ2eHjh07YsiQIQDunZoOCAgwdX5EREStktEF+LXXXkP//v1x9epV/PnPf5YeE9mpUydeAyYiIqqjej0LOigoCEFBQQAArVaLkydPYuDAgXyRARERUR0ZfQ149uzZ2LhxI4B7xXfw4MHo06cPvL298eOPP5o6PyIiolbJ6AK8fft29OrVCwDw7bff4tKlSzh37hzmzJmDv//97yZPkIiIqDUyugDn5eVBrVYDAHbv3o2xY8fi0UcfxV//+lecPHnS5AkSERG1RkYXYHd3d5w5cwZarRbJycn485//DAC4c+cOFAqFyRMkIiJqjYy+CWvy5MkYN24cPDw8IJPJEBoaCgBIT0+Hv7+/yRMkIiJqjYwuwIsXL0aPHj1w9epVjB07FkqlEgCgUCgwb948kydIRETUGtVrGNJzzz1XrS06OrrByRAREbUV9Xod4b59+/DMM8+gS5cu6NKlC0aNGoUDBw6YOjciIqJWy+gC/MUXXyA0NBQ2NjaYOXMmZs6cCWtrawwbNgxbt25tjByJiIhaHaML8NKlS7F8+XJs27ZNKsDbtm3DsmXL8M4779QribVr18LHxwcqlQrBwcE4cuRIrfGJiYnw9/eHSqVCQEAAdu/eLc2rqKjA3LlzERAQAFtbW3h6emLixIm4ceOG3jry8/MRFRUFe3t7ODo6YsqUKSguLq5X/kRERMYyugBfvHgRzzzzTLX2UaNG4dKlS0YnsG3bNsTExCAuLg7Hjh1Dr169EBYWhpycHIPxhw8fxoQJEzBlyhRkZmYiIiICEREROHXqFIB7w6GOHTuGhQsX4tixY9ixYwfOnz+PUaNG6a0nKioKp0+fRkpKCnbt2oX9+/dj6tSpRudPRERUL8JInTt3FuvXr6/Wvm7dOtGlSxdjVyf69+8vpk2bJn3WarXC09NTxMfHG4wfN26cCA8P12sLDg4WL7/8co3bOHLkiAAgrly5IoQQ4syZMwKA+Pnnn6WY77//XshkMnH9+vU65V1YWCgAiMLCwjrF16Tj3F16ExERtRwNqQVG3wX9+uuvY+bMmTh+/DgGDhwIADh06BA2b96Mjz76yKh1lZeXIyMjA7GxsVKbXC5HaGgo0tLSDC6TlpaGmJgYvbawsDAkJSXVuJ3CwkLIZDI4OjpK63B0dJReKAEAoaGhkMvlSE9Px+jRo6uto6ysDGVlZdLnoqKiuuwiERGRQUYX4FdffRVqtRorVqzAV199BQDo1q0btm3bhmeffdaodeXl5UGr1cLd3V2v3d3dHefOnTO4jEajMRiv0WgMxt+9exdz587FhAkTYG9vL63Dzc1NL87CwgLOzs41ric+Ph5Lliyp034Z4zEPe5y5yWJORNTW1Gsc8OjRow0eJTY3FRUVGDduHIQQWLduXYPWFRsbq3fkXVRUBG9v74amiB5eLMBERG1RvQqwqbi6ukKhUCA7O1uvPTs7W3rhw4PUanWd4quK75UrV7Bnzx7p6LdqHQ/e5FVZWYn8/Pwat6tUKqWnfpmSDDKTr5OIiJq/Ot0F7eTkBGdn5zpNxrCyskLfvn2Rmpoqtel0OqSmpiIkJMTgMiEhIXrxAJCSkqIXX1V8L1y4gB9++AEuLi7V1lFQUICMjAypbc+ePdDpdAgODjZqH4iIiOqjTkfAq1atarQEYmJiEB0djaCgIPTv3x+rVq1CSUkJJk+eDACYOHEivLy8EB8fDwCYNWsWBg8ejBUrViA8PBwJCQk4evQoNmzYAOBe8X3uuedw7Ngx7Nq1C1qtVrqu6+zsDCsrK3Tr1g0jRozASy+9hPXr16OiogLTp0/H+PHj4enp2Wj7aoiMB8BERG1SnQpwYz7nOTIyErm5uVi0aBE0Gg0CAwORnJws3WiVlZUFufy/B+oDBw7E1q1bsWDBAsyfPx9+fn5ISkpCjx49AADXr1/Hzp07AQCBgYF629q7dy+GDBkCANiyZQumT5+OYcOGQS6XY8yYMVi9enWj7WdNWICJiNommRBCmDuJlqioqAgODg4oLCzUu75srNgdJ/HlkSzp8+Vl4aZIj4iImkBDakG9XsZApqPT8fsPEVFbxAJsZs52Vnqfb5WUmykTIiJqSizAZjamzyN6nxd/e9pMmRARUVNiATazLm52ep+/PXGjhkgiImpNjH4Qx+jRoyEzcOuuTCaDSqVCly5d8Pzzz6Nr164mSbCt4SVhIqK2wegjYAcHB+zZswfHjh2DTCaDTCZDZmYm9uzZg8rKSmzbtg29evXCoUOHGiNfIiKiVsHoI2C1Wo3nn38ea9askcbn6nQ6zJo1C+3atUNCQgJeeeUVzJ07FwcPHjR5wkRERK2B0UfAGzduxOzZs/UejiGXyzFjxgxs2LABMpkM06dPx6lTp0yaKBERUWtidAGurKw0+KrAc+fOQavVAgBUKpXB68RERER0j9GnoF988UVMmTIF8+fPR79+/QAAP//8M/7xj39g4sSJAIB9+/ahe/fups2UiIioFTG6AH/44Ydwd3fH8uXLpdcCuru7Y86cOZg7dy4AYPjw4RgxYoRpMyUiImpFGvQs6KKiey+Sb8izkFsqUz0LGgB85n2n95nPgyYiahkaUguMPgK+X1ssvERERKZg9E1Y2dnZePHFF+Hp6QkLCwsoFAq9iYiIiB7O6CPgSZMmISsrCwsXLoSHhwfvdiYiIqoHowvwwYMHceDAgWovuyciIqK6M/oUtLe3Nxpw3xYRERGhHgV41apVmDdvHi5fvtwI6RAAlFfqzJ0CERE1MqNPQUdGRuLOnTvo3LkzbGxsYGlpqTc/Pz/fZMm1FTOH+WF16gXpc87tu3jEycaMGRERUWMzugCvWrWqEdJo2xQP3MjGG9uIiFo/owtwdHR0Y+TRpgnoX1Nn+SUiav3qdA246olXVT/XNhlr7dq18PHxgUqlQnBwMI4cOVJrfGJiIvz9/aFSqRAQEIDdu3frzd+xYweGDx8OFxcXyGQyHD9+vNo6hgwZIr3LuGp65ZVXjM7dVB68p40HwERErV+dCrCTkxNycnIAAI6OjnBycqo2VbUbY9u2bYiJiUFcXByOHTuGXr16ISwsTNrWgw4fPowJEyZgypQpyMzMREREBCIiIvRefVhSUoJBgwbhvffeq3XbL730Em7evClNy5cvNyp3U3rwnvJ1P/5uljyIiKjp1OlZ0Pv27cPjjz8OCwsL7Nu3r9bYwYMH13njwcHB6NevH9asWQMA0Ol08Pb2xowZMzBv3rxq8ZGRkSgpKcGuXbuktgEDBiAwMBDr16/Xi718+TJ8fX2RmZlZbczykCFDEBgYaNT17LKyMpSVlUmfi4qK4O3tbZJnQa/83/NYvec3vTY+D5qIqPlr9GdB319UjSmwtSkvL0dGRgZiY2OlNrlcjtDQUKSlpRlcJi0tDTExMXptYWFhSEpKMnr7W7ZswRdffAG1Wo1nnnkGCxcuhI1NzXcex8fHY8mSJUZvpy44qpqIqO2p18sYCgoKcOTIEeTk5ECn0x+zWvVO4IfJy8uDVquFu7u7Xru7uzvOnTtncBmNRmMwXqPRGJE98Pzzz6Njx47w9PTEL7/8grlz5+L8+fPYsWNHjcvExsbqFf+qI2BT6NPRuFP3RETU8hldgL/99ltERUWhuLgY9vb2ekNmZDJZnQuwOU2dOlX6OSAgAB4eHhg2bBh+//13dO7c2eAySqUSSqWyUfIZ8mj7RlkvERE1X0Y/Cev111/HX//6VxQXF6OgoAC3bt2SJmMewuHq6gqFQoHs7Gy99uzsbKjVaoPLqNVqo+LrKjg4GADw22+/PSSycXDcLxFR22N0Ab5+/TpmzpxZ6/XSurCyskLfvn2Rmpoqtel0OqSmpiIkJMTgMiEhIXrxAJCSklJjfF1VDVXy8PBo0HqIiIjqyuhT0GFhYTh69Cg6derU4I3HxMQgOjoaQUFB6N+/P1atWoWSkhJMnjwZwL3ryV5eXoiPjwcAzJo1C4MHD8aKFSsQHh6OhIQEHD16FBs2bJDWmZ+fj6ysLNy4cQMAcP78eQD3jp7VajV+//13bN26FSNHjoSLiwt++eUXzJkzB08++SR69uzZ4H0iIiKqC6MLcHh4ON58802cOXMGAQEB1Z4FPWrUqDqvKzIyErm5uVi0aBE0Gg0CAwORnJws3WiVlZUFufy/B+kDBw7E1q1bsWDBAsyfPx9+fn5ISkpCjx49pJidO3dKBRwAxo8fDwCIi4vD4sWLYWVlhR9++EEq9t7e3hgzZgwWLFhgbFcQERHVW53GAd/v/oJYbWUyGbRabYOTagkaMvbLEJ953+l95jhgIqLmr9HHAd/vwWFHREREZDyjb8IiIiKihqvTEfDq1asxdepUqFQqrF69utbYmTNnmiQxIiKi1qxOBfjDDz9EVFQUVCoVPvzwwxrjZDIZCzAREVEd1KkAX7p0yeDPZDp9OjjiWFaB9LnwTgUcbCxrXoCIiFo0XgNuJpxt9R9z+VtusZkyISKiplCvlzFcu3YNO3fuRFZWFsrLy/XmrVy50iSJtXVGjg4jIqIWxugCnJqailGjRqFTp044d+4cevTogcuXL0MIgT59+jRGjm3Cg4+Dfm59GscCExG1Ykafgo6NjcUbb7yBkydPQqVS4euvv8bVq1cxePBgjB07tjFyJCIianWMLsBnz56VXjloYWGB0tJS2NnZ4e2338Z7771n8gSJiIhaI6MLsK2trXTd18PDA7///rs0Ly8vz3SZERERtWJGXwMeMGAADh48iG7dumHkyJF4/fXXcfLkSezYsQMDBgxojBzbhNeHP4qUM9kPDyQiolbB6AK8cuVKFBffGyKzZMkSFBcXY9u2bfDz8+Md0A3gr274Cx2IiKjlMKoAa7VaXLt2TXpvrq2tLdavX98oiREREbVmRl0DVigUGD58OG7dutVY+RAREbUJRt+E1aNHD1y8eLExcqEH8JowEVHrZXQBfvfdd/HGG29g165duHnzJoqKivQmMp2X/nXU3CkQEVEjqfM14Lfffhuvv/46Ro4cCQAYNWoUZPc9vkkIAZlMBq1Wa/osiYiIWhmZqONDhxUKBW7evImzZ8/WGjd48GCTJNbcFRUVwcHBAYWFhbC3N80dzEcu5WPcJ2l6bXwcJRFR89WQWlDnI+CqOt1WCqw59Pd1NncKRETURIy6Bix78I0BJrB27Vr4+PhApVIhODgYR44cqTU+MTER/v7+UKlUCAgIwO7du/Xm79ixA8OHD4eLiwtkMhmOHz9ebR13797FtGnT4OLiAjs7O4wZMwbZ2bzhiYiImo5RBfjRRx+Fs7NzrZMxtm3bhpiYGMTFxeHYsWPo1asXwsLCkJOTYzD+8OHDmDBhAqZMmYLMzExEREQgIiICp06dkmJKSkowaNCgWp9LPWfOHHz77bdITEzEvn37cOPGDfzlL38xKnciIqKGqPM1YLlcjlWrVsHBwaHWuOjo6DpvPDg4GP369cOaNWsAADqdDt7e3pgxYwbmzZtXLT4yMhIlJSXYtWuX1DZgwAAEBgZWeyDI5cuX4evri8zMTAQGBkrthYWFaN++PbZu3YrnnnsOAHDu3Dl069YNaWlpdX6cZmNcAwYAn3nf6e8HrwETETVbTXINGADGjx8PNzc3ozZQk/LycmRkZCA2NlZqk8vlCA0NRVpamsFl0tLSEBMTo9cWFhaGpKSkOm83IyMDFRUVCA0Nldr8/f3RoUOHWgtwWVkZysrKpM8cckVERA1R51PQpr7+m5eXB61WC3d3d712d3d3aDQag8toNBqj4mtah5WVFRwdHY1aT3x8PBwcHKTJ29u7ztskIiJ6UJ0LcB3PVLdasbGxKCwslKarV6+aOyUiImrB6nwKWqfTmXTDrq6uUCgU1e4+zs7OhlqtNriMWq02Kr6mdZSXl6OgoEDvKPhh61EqlVAqlXXeDhERUW2MfhSlqVhZWaFv375ITU2V2nQ6HVJTUxESEmJwmZCQEL14AEhJSakx3pC+ffvC0tJSbz3nz59HVlaWUetpLEtGddf7rNW17TMPREStldHvAzalmJgYREdHIygoCP3798eqVatQUlKCyZMnAwAmTpwILy8vxMfHAwBmzZqFwYMHY8WKFQgPD0dCQgKOHj2KDRs2SOvMz89HVlYWbty4AeBecQXuHfmq1Wo4ODhgypQpiImJgbOzM+zt7TFjxgyEhITU+Q7oxhQ90AdxO09Ln8srdbC2UpgxIyIiagxmLcCRkZHIzc3FokWLoNFoEBgYiOTkZOlGq6ysLMjl/z1IHzhwILZu3YoFCxZg/vz58PPzQ1JSEnr06CHF7Ny5UyrgwL07twEgLi4OixcvBgB8+OGHkMvlGDNmDMrKyhAWFoZ//vOfTbDHxrtboWUBJiJqheo8Dpj0NdY4YEB/LPCLAzrinYgetUQTEZG5NKQWmO0aMNXNv3+6Yu4UiIioEbAAExERmQELcAvAO6GJiFofFuAW4PDveeZOgYiITIwFuAWo0Jr2IShERGR+LMAtgAymfw8zERGZFwswERGRGbAAtwCVvAmLiKjVYQFuAb775Ya5UyAiIhNjAW4B8u9UmDsFIiIyMRbgZii8p4fe5/2/5popEyIiaiwswM3Qmgm9zZ0CERE1MhbgZkgmqz7s6Nfs22bIhIiIGgsLcAvxn1Mac6dAREQmxALcTH00PlDvMwciERG1LizAzdTjXVz1Pp/TFJkpEyIiagwswM2UndJC7/PukzwFTUTUmrAAN1MqS0W1NiF4IpqIqLVgAW5BbhTeNXcKRERkIizAzdgjTtZ6n3/VcCgSEVFr0SwK8Nq1a+Hj4wOVSoXg4GAcOXKk1vjExET4+/tDpVIhICAAu3fv1psvhMCiRYvg4eEBa2trhIaG4sKFC3oxPj4+kMlketOyZctMvm8NobTQ/+vR8RQ0EVGrYfYCvG3bNsTExCAuLg7Hjh1Dr169EBYWhpycHIPxhw8fxoQJEzBlyhRkZmYiIiICEREROHXqlBSzfPlyrF69GuvXr0d6ejpsbW0RFhaGu3f1T+G+/fbbuHnzpjTNmDGjUffVWJYK/b+eb0/wpQxERK2F2QvwypUr8dJLL2Hy5Ml47LHHsH79etjY2OCzzz4zGP/RRx9hxIgRePPNN9GtWze888476NOnD9asWQPg3tHvqlWrsGDBAjz77LPo2bMn/vWvf+HGjRtISkrSW1e7du2gVqulydbWtrF31yjKB27ESjp+g8+FJiJqJcxagMvLy5GRkYHQ0FCpTS6XIzQ0FGlpaQaXSUtL04sHgLCwMCn+0qVL0Gg0ejEODg4IDg6uts5ly5bBxcUFvXv3xvvvv4/Kysoacy0rK0NRUZHe1Nj+MbpHtbaJn9V+ep6IiFoGi4eHNJ68vDxotVq4u7vrtbu7u+PcuXMGl9FoNAbjNRqNNL+qraYYAJg5cyb69OkDZ2dnHD58GLGxsbh58yZWrlxpcLvx8fFYsmSJcTvYQN09HQy23yoph5OtVZPmQkREpmXWAmxOMTEx0s89e/aElZUVXn75ZcTHx0OpVFaLj42N1VumqKgI3t7ejZ5n5/a2+D23RK/tRmEpCzARUQtn1lPQrq6uUCgUyM7O1mvPzs6GWq02uIxara41vupPY9YJAMHBwaisrMTly5cNzlcqlbC3t9ebmkLKnMHV2nKKyppk20RE1HjMWoCtrKzQt29fpKamSm06nQ6pqakICQkxuExISIhePACkpKRI8b6+vlCr1XoxRUVFSE9Pr3GdAHD8+HHI5XK4ubk1ZJdMTi6v/mrCd787Y4ZMiIjIlMx+CjomJgbR0dEICgpC//79sWrVKpSUlGDy5MkAgIkTJ8LLywvx8fEAgFmzZmHw4MFYsWIFwsPDkZCQgKNHj2LDhg0A7r1Ld/bs2Xj33Xfh5+cHX19fLFy4EJ6enoiIiABw70au9PR0DB06FO3atUNaWhrmzJmDF154AU5OTmbpB2M8eEqaiIhaHrMX4MjISOTm5mLRokXQaDQIDAxEcnKydBNVVlYW5PL/HqgPHDgQW7duxYIFCzB//nz4+fkhKSkJPXr8947ht956CyUlJZg6dSoKCgowaNAgJCcnQ6VSAbh3OjkhIQGLFy9GWVkZfH19MWfOHL1rvM3Jy092wif7L+q1aQrvQu2gMlNGRETUUDLBJ/zXS1FRERwcHFBYWNjo14N/zy3GsBX79Nqe8HPFv6cEN+p2iYiodg2pBWZ/EAc9XPt21e/KPnAhzwyZEBGRqbAAtwD2KkuD7eWVuibOhIiITIUFuAU7cIGPpSQiaqlYgFuIC0ufqtY25fOj4CV8IqKWiQW4hXjwzUhV3v/P+SbOhIiITIEFuAUJ7eZere2fP/7Oo2AiohaIBbgF+XRiX4PtvrG7mzgTIiJqKBbgFkQmq/5YSiIiaplYgFsYjxqefuUz77smzoSIiBqCBbiF+X7WE/h0YpDBeSzCREQtBwtwC+NoY4U/P1b9Zqwqr36R0YTZEBFRfbEAt1CXl4UbbP/+lAbfZF6DVsc7o4mImjMW4BZs0dOPGWyfs+0Eln53tomzISIiY7AAt2BWFjX/9X126BL6Lf0BKWeyUVqu5XOjiYiaGbO/D5jqr5tH7a++yr1dhpf+dVT6/P2sJ+DWTgkXu+pvVyIioqbF9wHXU1O+D7g2yac06Ohig7sVWoz+5+E6LVPT9WMiIjJOQ2oBj4BbuBE91EYvUzVcaUyfR/DqkE7o4tbO1GkREdFD8Ai4nprLEfD9Ssu1OHWjEGPXp9Vr+X9G9cH6fb9jQv8OmNC/A0rLtbC2Upg4SyKi1qMhtYAFuJ6aYwG+nxAC07/MxHe/3DTJ+hY9/RgmDfSBTAZc+eMOOjjboLRCi1PXCxHk4wyFnI/JJKK2hwXYDJp7Ab5fTtFdPPXRAfxRUt7o21oX1QevbjkGAOjgbIN3InpgYGcXyGUyyGUNe561EILPwyaiZoUF2AxaUgG+X87tu3jv+/P4+tg1c6dSJ3/yd8OeczkPjfswshccrC3haqdEyplsBPk4I7voLjo622D3yZvwdbXFwC6ucLG1gkIug8pSgRNXC9DPxxnns29DU3QX/XyccTmvBB1dbFBwpwK2ynu3SOSXlOH41UL8pbcXissrUXinApYKObLy78BCIUOfDk4AgKK7Fdj/ay4s5DJ0cWuHzu1t8XtuMXxcbGGhkBv8AlHbl4rCOxUoLq+El6N1jbHGfikxJl6nE5Cb+cxGhVYHuUzGMyzUbLX4Arx27Vq8//770Gg06NWrFz7++GP079+/xvjExEQsXLgQly9fhp+fH9577z2MHDlSmi+EQFxcHD799FMUFBTg8ccfx7p16+Dn5yfF5OfnY8aMGfj2228hl8sxZswYfPTRR7Czs6tTzi21AD/ozI0itFNZYGXKr/gm87q50yEyaNrQzjj42x/Iu10GDwcV+vk6o7unPc7eLEJQR2fkl5Rj36+56N3BERGBXnCwtkTm1QKUV+rQu4MjlP83Zr7qy4cQAiXlWtgpjb8PtepLTHFZJeQywMbq3joqtTpYKO5t526FFkoLebUvOzqdwDnNbTzqbifFmhrPFP2XEAKVOgHLRuproIUX4G3btmHixIlYv349goODsWrVKiQmJuL8+fNwc3OrFn/48GE8+eSTiI+Px9NPP42tW7fivffew7Fjx9CjRw8AwHvvvYf4+Hh8/vnn8PX1xcKFC3Hy5EmcOXMGKtW9twk99dRTuHnzJj755BNUVFRg8uTJ6NevH7Zu3VqnvFtLAa6NEAI6AVzKK8bBC3n4k787CkrLsTr1An44+/CjUiJqnQydmergbIOs/DvS53tngErwVA817pRr0dHFBjlFZci8egvZRWV6y9opLVBcVlnn7Q/s7ILfcoqRc/veetzaKaWfAeC5vo/g1PVCnNPcrnU9VhZynFg0vEE3m7boAhwcHIx+/fphzZo1AACdTgdvb2/MmDED8+bNqxYfGRmJkpIS7Nq1S2obMGAAAgMDsX79eggh4Onpiddffx1vvPEGAKCwsBDu7u7YvHkzxo8fj7Nnz+Kxxx7Dzz//jKCge28WSk5OxsiRI3Ht2jV4enpW225ZWRnKyv77F1xUVARvb+9WXYDr6055JbKLynBecxtu9kpc+aMEDtaW8HS0xv87cAmnbxTh7M0ic6dJRASgYc9GaLHjgMvLy5GRkYHY2FipTS6XIzQ0FGlphofSpKWlISYmRq8tLCwMSUlJAIBLly5Bo9EgNDRUmu/g4IDg4GCkpaVh/PjxSEtLg6Ojo1R8ASA0NBRyuRzp6ekYPXp0te3Gx8djyZIlDdndNsPGygK+rhbwdbUFAOkaKQB8MLZXo2zzVkk5nGytpOuWQgjcKdfCxkoBnYB0DbFSq4PsgWuKWp2AEEI6JfhHcRkqdQLu9ioIIXD6RhF8XW1hY6WQTu2VVWpRoRWwU1rgVkk5LuQUw97aAvYqS1gq5HCxtcLvucUoKK1Al/Z2sLZS4Nfs29DqBH6+nI9nA71wo6AUGVduwcnGCp3d7ODWTok75VrIZPfOPrjbq6DTAYd/z0MXt3unLKuWecTJGiv+91ds+Vswrt66g5PXC3FecxvFdytx6Y8SXMy9dy37b4N8obJUYNn35/DSk51QWFqBotIKlFfqkJhxDZ1cbWGjVODU9XtfiHo94oAT1woBAO1UFrCQy3DrToXUV0/39ICzrRUuZBfjUl4Jgnyc8J/TGvi62qKHlwN2HLt3GcNCLkMlXwhCLcDAzi5m27ZZC3BeXh60Wi3c3fVfr+fu7o5z584ZXEaj0RiM12g00vyqttpiHjy9bWFhAWdnZynmQbGxsXqFv+oImJoHJ1srAJBuGpLJZNJNVIr7LocZuu52rxj/N+j+R3XKZDL08HKotozSQoGqy4dOtlbo7+tcLcbPXf8BJz0fcQQA9P6/LyTu9irp59o8FeAh/ezraovHu7gCAP7S5xEAgI+rLZ7wa1/rOsYGVf+3+n4jfBlaOS7Q5OtsacoqtbBSyPW++FXR6oTUVnV9UiGTQXbfCAHd/31x0QoBIe7diGartIBOJyCTQbpB8E55JVSWClRodVBZKnD7biVkABQKmfQFSOgAaysFbhaWorxSB0uFHAKAi50V7lZoodMBxWWVsLZSwF5lgSt/3EFZpRbt7VTQCQErCznkMhkqtDqc09yGrVIBe5UlVJZy5N4uR7lWh/Z2SlgqZCi6W4mLucXoqm6HwtIK/FFcDguFDHfKtMgrKYO/+t7vw5kbRejmYQ+5XIbc22WwU1rAUiGHVqdDfkkFzmuK0KejE8oqdWintJBGb3Rqf+8L/dHLt9DDyx5KCwWuF5Qir7gMHZxtYGOlQDuVJa78cQeVWh0cbSwhk937Mn75jztQ26sgkwGFpfduoqzUCTziaI0hXWv/3WlMfBJWHSmVSiiVfIYyEdVOaXHveqLCwH1Q9xdkmUwGSwNBVV8i5f/3pbDqpStV7VVfNq0s7v2psry3Pef/azeko4tttTZ7lWW1NkNfNqt4O9vofe5S/RYd9O348C+Uf/Kv+X3mdTGws2ut8/v5VP8y3FyZ9W1Irq6uUCgUyM7O1mvPzs6GWm34EYtqtbrW+Ko/HxaTk6N/A0FlZSXy8/Nr3C4REZEpmbUAW1lZoW/fvkhNTZXadDodUlNTERISYnCZkJAQvXgASElJkeJ9fX2hVqv1YoqKipCeni7FhISEoKCgABkZGVLMnj17oNPpEBwcbLL9IyIiqpEws4SEBKFUKsXmzZvFmTNnxNSpU4Wjo6PQaDRCCCFefPFFMW/ePCn+0KFDwsLCQnzwwQfi7NmzIi4uTlhaWoqTJ09KMcuWLROOjo7if/7nf8Qvv/winn32WeHr6ytKS0ulmBEjRojevXuL9PR0cfDgQeHn5ycmTJhQ57wLCwsFAFFYWGiCXiAiopaoIbXA7NeAIyMjkZubi0WLFkGj0SAwMBDJycnSTVRZWVmQy/97oD5w4EBs3boVCxYswPz58+Hn54ekpCRpDDAAvPXWWygpKcHUqVNRUFCAQYMGITk5WRoDDABbtmzB9OnTMWzYMOlBHKtXr266HSciojbN7OOAW6q28CAOIiKqXUNqgVmvARMREbVVLMBERERmYPZrwC1V1Zn7oiI+UpGIqK2qqgH1uZrLAlxPt2/fe8g3n4ZFRES3b9+Gg0PNDzIxhDdh1ZNOp8ONGzfQrl27er/6q+pxllevXuWNXA9g3xjGfqkZ+8Yw9kvNTNE3Qgjcvn0bnp6eeiN26oJHwPUkl8vxyCOPmGRd9vb2/MWoAfvGMPZLzdg3hrFfatbQvjH2yLcKb8IiIiIyAxZgIiIiM2ABNiOlUom4uDi+ZckA9o1h7JeasW8MY7/UzNx9w5uwiIiIzIBHwERERGbAAkxERGQGLMBERERmwAJMRERkBizAZrR27Vr4+PhApVIhODgYR44cMXdKJhMfH49+/fqhXbt2cHNzQ0REBM6fP68Xc/fuXUybNg0uLi6ws7PDmDFjkJ2drReTlZWF8PBw2NjYwM3NDW+++SYqKyv1Yn788Uf06dMHSqUSXbp0webNmxt790xm2bJlkMlkmD17ttTWlvvl+vXreOGFF+Di4gJra2sEBATg6NGj0nwhBBYtWgQPDw9YW1sjNDQUFy5c0FtHfn4+oqKiYG9vD0dHR0yZMgXFxcV6Mb/88gueeOIJqFQqeHt7Y/ny5U2yf/Wl1WqxcOFC+Pr6wtraGp07d8Y777yj9/zhttA3+/fvxzPPPANPT0/IZDIkJSXpzW/KPkhMTIS/vz9UKhUCAgKwe/du43dIkFkkJCQIKysr8dlnn4nTp0+Ll156STg6Oors7Gxzp2YSYWFhYtOmTeLUqVPi+PHjYuTIkaJDhw6iuLhYinnllVeEt7e3SE1NFUePHhUDBgwQAwcOlOZXVlaKHj16iNDQUJGZmSl2794tXF1dRWxsrBRz8eJFYWNjI2JiYsSZM2fExx9/LBQKhUhOTm7S/a2PI0eOCB8fH9GzZ08xa9Ysqb2t9kt+fr7o2LGjmDRpkkhPTxcXL14U//nPf8Rvv/0mxSxbtkw4ODiIpKQkceLECTFq1Cjh6+srSktLpZgRI0aIXr16iZ9++kkcOHBAdOnSRUyYMEGaX1hYKNzd3UVUVJQ4deqU+PLLL4W1tbX45JNPmnR/jbF06VLh4uIidu3aJS5duiQSExOFnZ2d+Oijj6SYttA3u3fvFn//+9/Fjh07BADxzTff6M1vqj44dOiQUCgUYvny5eLMmTNiwYIFwtLSUpw8edKo/WEBNpP+/fuLadOmSZ+1Wq3w9PQU8fHxZsyq8eTk5AgAYt++fUIIIQoKCoSlpaVITEyUYs6ePSsAiLS0NCHEvV82uVwuNBqNFLNu3Tphb28vysrKhBBCvPXWW6J79+5624qMjBRhYWGNvUsNcvv2beHn5ydSUlLE4MGDpQLclvtl7ty5YtCgQTXO1+l0Qq1Wi/fff19qKygoEEqlUnz55ZdCCCHOnDkjAIiff/5Zivn++++FTCYT169fF0II8c9//lM4OTlJfVW17a5du5p6l0wmPDxc/PWvf9Vr+8tf/iKioqKEEG2zbx4swE3ZB+PGjRPh4eF6+QQHB4uXX37ZqH3gKWgzKC8vR0ZGBkJDQ6U2uVyO0NBQpKWlmTGzxlNYWAgAcHZ2BgBkZGSgoqJCrw/8/f3RoUMHqQ/S0tIQEBAAd3d3KSYsLAxFRUU4ffq0FHP/Oqpimns/Tps2DeHh4dVyb8v9snPnTgQFBWHs2LFwc3ND79698emnn0rzL126BI1Go7dfDg4OCA4O1usbR0dHBAUFSTGhoaGQy+VIT0+XYp588klYWVlJMWFhYTh//jxu3brV2LtZLwMHDkRqaip+/fVXAMCJEydw8OBBPPXUUwDadt9Uaco+MNXvFwuwGeTl5UGr1er9BwoA7u7u0Gg0Zsqq8eh0OsyePRuPP/44evToAQDQaDSwsrKCo6OjXuz9faDRaAz2UdW82mKKiopQWlraGLvTYAkJCTh27Bji4+OrzWvL/XLx4kWsW7cOfn5++M9//oNXX30VM2fOxOeffw7gv/tW2++NRqOBm5ub3nwLCws4Ozsb1X/Nzbx58zB+/Hj4+/vD0tISvXv3xuzZsxEVFQWgbfdNlabsg5pijO0jvg2JGt20adNw6tQpHDx40NypmN3Vq1cxa9YspKSkQKVSmTudZkWn0yEoKAj/+Mc/AAC9e/fGqVOnsH79ekRHR5s5O/P66quvsGXLFmzduhXdu3fH8ePHMXv2bHh6erb5vmnJeARsBq6urlAoFNXubM3OzoZarTZTVo1j+vTp2LVrF/bu3av3+ka1Wo3y8nIUFBToxd/fB2q12mAfVc2rLcbe3h7W1tam3p0Gy8jIQE5ODvr06QMLCwtYWFhg3759WL16NSwsLODu7t4m+wUAPDw88Nhjj+m1devWDVlZWQD+u2+1/d6o1Wrk5OToza+srER+fr5R/dfcvPnmm9JRcEBAAF588UXMmTNHOovSlvumSlP2QU0xxvYRC7AZWFlZoW/fvkhNTZXadDodUlNTERISYsbMTEcIgenTp+Obb77Bnj174Ovrqze/b9++sLS01OuD8+fPIysrS+qDkJAQnDx5Uu8XJiUlBfb29tJ/1CEhIXrrqIpprv04bNgwnDx5EsePH5emoKAgREVFST+3xX4BgMcff7zaULVff/0VHTt2BAD4+vpCrVbr7VdRURHS09P1+qagoAAZGRlSzJ49e6DT6RAcHCzF7N+/HxUVFVJMSkoKunbtCicnp0bbv4a4c+dOtZe9KxQK6HQ6AG27b6o0ZR+Y7PfLqFu2yGQSEhKEUqkUmzdvFmfOnBFTp04Vjo6Oene2tmSvvvqqcHBwED/++KO4efOmNN25c0eKeeWVV0SHDh3Enj17xNGjR0VISIgICQmR5lcNtxk+fLg4fvy4SE5OFu3btzc43ObNN98UZ8+eFWvXrm32w20edP9d0EK03X45cuSIsLCwEEuXLhUXLlwQW7ZsETY2NuKLL76QYpYtWyYcHR3F//zP/4hffvlFPPvsswaHmfTu3Vukp6eLgwcPCj8/P71hJgUFBcLd3V28+OKL4tSpUyIhIUHY2Ng0m6E2hkRHRwsvLy9pGNKOHTuEq6ureOutt6SYttA3t2/fFpmZmSIzM1MAECtXrhSZmZniypUrQoim64NDhw4JCwsL8cEHH4izZ8+KuLg4DkNqaT7++GPRoUMHYWVlJfr37y9++uknc6dkMgAMTps2bZJiSktLxWuvvSacnJyEjY2NGD16tLh586beei5fviyeeuopYW1tLVxdXcXrr78uKioq9GL27t0rAgMDhZWVlejUqZPeNlqCBwtwW+6Xb7/9VvTo0UMolUrh7+8vNmzYoDdfp9OJhQsXCnd3d6FUKsWwYcPE+fPn9WL++OMPMWHCBGFnZyfs7e3F5MmTxe3bt/ViTpw4IQYNGiSUSqXw8vISy5Yta/R9a4iioiIxa9Ys0aFDB6FSqUSnTp3E3//+d72hMm2hb/bu3Wvw/5Xo6GghRNP2wVdffSUeffRRYWVlJbp37y6+++47o/eHryMkIiIyA14DJiIiMgMWYCIiIjNgASYiIjIDFmAiIiIzYAEmIiIyAxZgIiIiM2ABJiIiMgMWYCIiIjNgASaiJieTyZCUlGTuNIjMigWYqI2ZNGkSZDJZtWnEiBHmTo2oTeH7gInaoBEjRmDTpk16bUql0kzZELVNPAImaoOUSiXUarXeVPWqNZlMhnXr1uGpp56CtbU1OnXqhO3bt+stf/LkSfzpT3+CtbU1XFxcMHXqVBQXF+vFfPbZZ+jevTuUSiU8PDwwffp0vfl5eXkYPXo0bGxs4Ofnh507dzbuThM1MyzARFTNwoULMWbMGJw4cQJRUVEYP348zp49CwAoKSlBWFgYnJyc8PPPPyMxMRE//PCDXoFdt24dpk2bhqlTp+LkyZPYuXMnunTporeNJUuWYNy4cfjll18wcuRIREVFIT8/v0n3k8isjH5/EhG1aNHR0UKhUAhbW1u9aenSpUKIe6+SfOWVV/SWCQ4OFq+++qoQQogNGzYIJycnUVxcLM3/7rvvhFwul95n7enpKf7+97/XmAMAsWDBAulzcXGxACC+//57k+0nUXPHa8BEbdDQoUOxbt06vTZnZ2fp55CQEL15ISEhOH78OADg7Nmz6NWrF2xtbaX5jz/+OHQ6Hc6fPw+ZTIYbN25g2LBhtebQs2dP6WdbW1vY29sjJyenvrtE1OKwABO1Qba2ttVOCZuKtbV1neIsLS31PstkMuh0usZIiahZ4jVgIqrmp59+qva5W7duAIBu3brhxIkTKCkpkeYfOnQIcrkcXbt2Rbt27eDj44PU1NQmzZmopeERMFEbVFZWBo1Go9dmYWEBV1dXAEBiYiKCgoIwaNAgbNmyBUeOHMHGjRsBAFFRUYiLi0N0dDQWL16M3NxczJgxAy+++CLc3d0BAIsXL8Yrr7wCNzc3PPXUU7h9+zYOHTqEGTNmNO2OEjVjLMBEbVBycjI8PDz02rp27Ypz584BuHeHckJCAl577TV4eHjgyy+/xGOPPQYAsLGxwX/+8x/MmjUL/fr1g42NDcaMGYOVK1dK64qOjsbdu3fx4Ycf4o033oCrqyuee+65pttBohZAJoQQ5k6CiJoPmUyGb775BhEREeZOhahV4zVgIiIiM2ABJiIiMgNeAyYiPbwqRdQ0eARMRERkBizAREREZsACTEREZAYswERERGbAAkxERGQGLMBERERmwAJMRERkBizAREREZvD/ATrOTByvBa7QAAAAAElFTkSuQmCC\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "  0%|          | 0/10000 [00:00<?, ?it/s]"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "e565ba4bf9424e0889518f910406652b"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 500x300 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "  0%|          | 0/10000 [00:00<?, ?it/s]"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "4c13523d463049608ca3e0056a8d4864"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 500x300 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "  0%|          | 0/10000 [00:00<?, ?it/s]"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "c36e3a3d3e514a29912313a44e121bea"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 500x300 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 2000x600 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    }
  ]
}