"],"text/plain":[" epoch model \\\n","0 0.0 Mistral-7B-v0.3-Chinese-Chat \n","1 0.2 Mistral-7B-v0.3-Chinese-Chat \n","2 0.4 Mistral-7B-v0.3-Chinese-Chat \n","3 0.6 Mistral-7B-v0.3-Chinese-Chat \n","4 0.8 Mistral-7B-v0.3-Chinese-Chat \n",".. ... ... \n","6 1.2 Qwen2-72B-Instruct \n","7 1.4 Qwen2-72B-Instruct \n","8 1.6 Qwen2-72B-Instruct \n","9 1.8 Qwen2-72B-Instruct \n","10 2.0 Qwen2-72B-Instruct \n","\n"," run accuracy precision \\\n","0 shenzhi-wang/Mistral-7B-v0.3-Chinese-Chat_torc... 0.694667 0.701136 \n","1 shenzhi-wang/Mistral-7B-v0.3-Chinese-Chat/chec... 0.659667 0.792340 \n","2 shenzhi-wang/Mistral-7B-v0.3-Chinese-Chat/chec... 0.714667 0.786134 \n","3 shenzhi-wang/Mistral-7B-v0.3-Chinese-Chat/chec... 0.732667 0.787687 \n","4 shenzhi-wang/Mistral-7B-v0.3-Chinese-Chat/chec... 0.701667 0.790312 \n",".. ... ... ... \n","6 Qwen/Qwen2-72B-Instruct/checkpoint-210_torch.b... 0.763000 0.831888 \n","7 Qwen/Qwen2-72B-Instruct/checkpoint-245_torch.b... 0.765667 0.828827 \n","8 Qwen/Qwen2-72B-Instruct/checkpoint-280_torch.b... 0.769333 0.829280 \n","9 Qwen/Qwen2-72B-Instruct/checkpoint-315_torch.b... 0.784000 0.835435 \n","10 Qwen/Qwen2-72B-Instruct/checkpoint-350_torch.b... 0.773667 0.833015 \n","\n"," recall f1 ratio_valid_classifications \n","0 0.694667 0.663408 0.011667 \n","1 0.659667 0.706754 1.000000 \n","2 0.714667 0.740468 1.000000 \n","3 0.732667 0.747187 1.000000 \n","4 0.701667 0.734871 1.000000 \n",".. ... ... ... \n","6 0.763000 0.790108 1.000000 \n","7 0.765667 0.790627 1.000000 \n","8 0.769333 0.793017 1.000000 \n","9 0.784000 0.804195 1.000000 \n","10 0.773667 0.797366 1.000000 \n","\n","[77 rows x 8 columns]"]},"execution_count":8,"metadata":{},"output_type":"execute_result"}],"source":["import pandas as pd\n","\n","perf_df = None\n","model_perf_dfs = {}\n","for model_name in model_orders.keys():\n"," metrics_csv = f\"data/{model_name}_metrics.csv\"\n"," if not Path(metrics_csv).exists():\n"," continue\n"," df = pd.read_csv(metrics_csv)\n"," model_perf_dfs[model_name] = df\n"," perf_df = df if perf_df is None else pd.concat([perf_df, df])\n","\n","perf_df"]},{"cell_type":"code","execution_count":9,"metadata":{},"outputs":[],"source":["import matplotlib.pyplot as plt\n","from matplotlib.ticker import MultipleLocator\n","\n","def plot_perf(\n"," model_perf_dfs,\n"," model_markers,\n"," x_major_locator=0.2,\n"," y_offset=0.005,\n","):\n"," fig, ax = plt.subplots(1, 1, figsize=(12, 6))\n","\n"," for model_name, perf_df in model_perf_dfs.items():\n"," # Ensure the lengths of perf_df[\"epoch\"], perf_df[\"accuracy\"], and perf_df[\"f1\"] are the same\n"," min_length = min(len(perf_df[\"epoch\"]), len(perf_df[\"accuracy\"]), len(perf_df[\"f1\"]))\n"," perf_df = perf_df.iloc[:min_length]\n","\n"," (line,) = ax.plot(\n"," perf_df[\"epoch\"],\n"," perf_df[\"f1\"],\n"," marker=model_markers[model_name],\n"," label=model_name,\n"," )\n","\n"," line_color = line.get_color()\n","\n"," best_f1 = perf_df[\"f1\"].idxmax()\n"," print(\n"," f\"Best F1 for {model_name} @ {perf_df['epoch'].iloc[best_f1]:.2f} epoch: {perf_df['f1'].iloc[best_f1]}\"\n"," )\n"," ax.annotate(\n"," f\"{perf_df['f1'].iloc[best_f1]*100:.2f}%\",\n"," (perf_df[\"epoch\"].iloc[best_f1], perf_df[\"f1\"].iloc[best_f1]),\n"," ha=\"center\",\n"," va=\"bottom\",\n"," xytext=(0, 0),\n"," textcoords=\"offset points\",\n"," fontsize=10,\n"," color=line_color,\n"," )\n","\n"," # Set y-axis limit\n"," y_scales = ax.get_ylim()\n"," ax.set_ylim(y_scales[0], y_scales[1] + y_offset)\n","\n"," # Add title and labels\n"," ax.set_xlabel(\"Epoch (0: base model, 0.2 - 2: fine-tuned models)\")\n"," ax.set_ylabel(\"F1 Score\")\n","\n"," # Set x-axis grid spacing to 0.2\n"," ax.xaxis.set_major_locator(MultipleLocator(x_major_locator))\n"," ax.set_title(\n"," \"Performance Analysis Across Checkpoints for Models\"\n"," )\n","\n"," # Rotate x labels\n"," plt.xticks(rotation=0)\n"," plt.grid(True)\n"," # plt.tight_layout()\n","\n"," # Set legend at the right to avoid overlapping with lines\n"," plt.legend(loc=\"center left\", bbox_to_anchor=(1.0, 0.5))\n","\n"," plt.show()"]},{"cell_type":"code","execution_count":10,"metadata":{},"outputs":[{"name":"stdout","output_type":"stream","text":["Best F1 for Mistral-7B-v0.3-Chinese-Chat @ 1.00 epoch: 0.7648234347578796\n","Best F1 for internlm2_5-7b-chat @ 0.40 epoch: 0.7660159670998776\n","Best F1 for internlm2_5-7b-chat-1m @ 0.80 epoch: 0.8028064320197301\n","Best F1 for Qwen2-7B-Instruct @ 0.40 epoch: 0.7748745026535183\n","Best F1 for Llama3.1-8B-Chinese-Chat @ 1.00 epoch: 0.7924651054056209\n","Best F1 for Llama3.1-70B-Chinese-Chat @ 1.00 epoch: 0.8076868978089201\n","Best F1 for Qwen2-72B-Instruct @ 1.80 epoch: 0.804194683154365\n"]},{"data":{"image/png":"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"]},"metadata":{},"output_type":"display_data"}],"source":["plot_perf(model_perf_dfs, model_markers)"]},{"cell_type":"code","execution_count":11,"metadata":{},"outputs":[{"name":"stdout","output_type":"stream","text":["\n","RangeIndex: 11 entries, 0 to 10\n","Data columns (total 8 columns):\n"," # Column Non-Null Count Dtype \n","--- ------ -------------- ----- \n"," 0 epoch 11 non-null float64\n"," 1 model 11 non-null object \n"," 2 run 11 non-null object \n"," 3 accuracy 11 non-null float64\n"," 4 precision 11 non-null float64\n"," 5 recall 11 non-null float64\n"," 6 f1 11 non-null float64\n"," 7 ratio_valid_classifications 11 non-null float64\n","dtypes: float64(6), object(2)\n","memory usage: 836.0+ bytes\n"]}],"source":["df_openai = pd.read_csv(\"data/openai_results.csv\")\n","df.info()"]},{"cell_type":"code","execution_count":12,"metadata":{},"outputs":[{"data":{"text/plain":["Index(['epoch', 'model', 'run', 'accuracy', 'precision', 'recall', 'f1',\n"," 'ratio_valid_classifications'],\n"," dtype='object')"]},"execution_count":12,"metadata":{},"output_type":"execute_result"}],"source":["df.columns"]},{"cell_type":"code","execution_count":13,"metadata":{},"outputs":[],"source":["df_best = df_openai[\n"," [\n"," \"text\",\n"," \"label\",\n"," \"title\",\n"," \"puzzle\",\n"," \"truth\",\n"," ]\n","].copy()"]},{"cell_type":"code","execution_count":14,"metadata":{},"outputs":[{"name":"stdout","output_type":"stream","text":["loading /Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py\n"]}],"source":["from llm_toolkit.logical_reasoning_utils import *"]},{"cell_type":"code","execution_count":15,"metadata":{},"outputs":[],"source":["df = pd.read_csv(\"data/internlm2_5-7b-chat_results.csv\")\n","df_best[\"internlm2_5-7b-chat\"] = df[\n"," \"internlm/internlm2_5-7b-chat/checkpoint-140_torch.bfloat16_lf\"\n","].apply(extract_answer)"]},{"cell_type":"code","execution_count":16,"metadata":{},"outputs":[],"source":["df = pd.read_csv(\"data/internlm2_5-7b-chat-1m_results.csv\")\n","df_best[\"internlm2_5-7b-chat-1m\"] = df[\n"," \"internlm/internlm2_5-7b-chat-1m/checkpoint-140_torch.bfloat16_lf\"\n","].apply(extract_answer)"]},{"cell_type":"code","execution_count":17,"metadata":{},"outputs":[],"source":["df = pd.read_csv(\"data/Mistral-7B-v0.3-Chinese-Chat_results.csv\")\n","df_best[\"Mistral-7B-v0.3-Chinese-Chat\"] = df[\n"," \"shenzhi-wang/Mistral-7B-v0.3-Chinese-Chat/checkpoint-245_torch.float16_lf\"\n","].apply(extract_answer)"]},{"cell_type":"code","execution_count":18,"metadata":{},"outputs":[],"source":["df = pd.read_csv(\"data/Qwen2-7B-Instruct_results.csv\")\n","df_best[\"Qwen2-7B-Instruct\"] = df[\n"," \"Qwen/Qwen2-7B-Instruct/checkpoint-70_torch.float16_lf\"\n","].apply(extract_answer)"]},{"cell_type":"code","execution_count":19,"metadata":{},"outputs":[],"source":["df = pd.read_csv(\"data/Llama3.1-8B-Chinese-Chat_results.csv\")\n","df_best[\"Llama3.1-8B-Chinese-Chat\"] = df[\n"," \"shenzhi-wang/Llama3.1-8B-Chinese-Chat/checkpoint-175_torch.float16_lf\"\n","].apply(extract_answer)"]},{"cell_type":"code","execution_count":20,"metadata":{},"outputs":[],"source":["df = pd.read_csv(\"data/Llama3.1-70B-Chinese-Chat_results.csv\")\n","df_best[\"Llama3.1-70B-Chinese-Chat\"] = df[\n"," \"shenzhi-wang/Llama3.1-70B-Chinese-Chat/checkpoint-175_torch.bfloat16_4bit_lf\"\n","].apply(extract_answer)"]},{"cell_type":"code","execution_count":21,"metadata":{},"outputs":[],"source":["df = pd.read_csv(\"data/Qwen2-72B-Instruct_results.csv\")\n","df_best[\"Qwen2-72B-Instruct\"] = df[\n"," \"Qwen/Qwen2-72B-Instruct/checkpoint-315_torch.bfloat16_4bit_lf\"\n","].apply(extract_answer)"]},{"cell_type":"code","execution_count":22,"metadata":{},"outputs":[],"source":["df_best[\"Ensemble Model\"] = df_best.apply(\n"," lambda x: majority_vote(\n"," x[\"internlm2_5-7b-chat-1m\"],\n"," x[\"Qwen2-72B-Instruct\"],\n"," x[\"Llama3.1-70B-Chinese-Chat\"],\n"," ),\n"," axis=1,\n",")"]},{"cell_type":"code","execution_count":23,"metadata":{},"outputs":[],"source":["df_best[\"gpt-4o-mini (0-shot)\"] = df_openai[\"gpt-4o-mini/shots-00\"].apply(extract_answer)\n","df_best[\"o1-mini (10-shot)\"] = df_openai[\"o1-mini/shots-10\"].apply(extract_answer)\n","\n","df_best[\"gpt-4o (10-shot)\"] = df_openai[\"gpt-4o/shots-10\"].apply(extract_answer)\n","df_best[\"o1-preview (10-shot)\"] = df_openai[\"o1-preview/shots-10\"].apply(extract_answer)"]},{"cell_type":"code","execution_count":37,"metadata":{},"outputs":[{"name":"stdout","output_type":"stream","text":["loading /Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py\n","columns: Index(['internlm2_5-7b-chat', 'internlm2_5-7b-chat-1m',\n"," 'Mistral-7B-v0.3-Chinese-Chat', 'Qwen2-7B-Instruct',\n"," 'Llama3.1-8B-Chinese-Chat', 'Llama3.1-70B-Chinese-Chat',\n"," 'Qwen2-72B-Instruct', 'Ensemble Model', 'gpt-4o-mini (0-shot)',\n"," 'o1-mini (10-shot)', 'gpt-4o (10-shot)', 'o1-preview (10-shot)'],\n"," dtype='object')\n"]},{"name":"stderr","output_type":"stream","text":["/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:458: FutureWarning: The behavior of DataFrame concatenation with empty or all-NA entries is deprecated. In a future version, this will no longer exclude empty or all-NA columns when determining the result dtypes. To retain the old behavior, exclude the relevant entries before the concat operation.\n"," \n"]},{"data":{"text/html":["
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internlm2_5-7b-chat
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internlm2_5-7b-chat
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internlm2_5-7b-chat-1m
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internlm2_5-7b-chat-1m
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0.803000
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0.803141
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0.803000
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0.802806
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1.000000
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2
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3
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Mistral-7B-v0.3-Chinese-Chat
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Mistral-7B-v0.3-Chinese-Chat
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0.750000
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0.788587
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0.750000
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0.764823
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1.000000
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4
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Qwen2-7B-Instruct
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Qwen2-7B-Instruct
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0.759000
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0.800530
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0.759000
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0.774875
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5
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Llama3.1-8B-Chinese-Chat
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Llama3.1-8B-Chinese-Chat
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0.780000
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0.810583
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0.780000
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0.792465
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1.000000
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6
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Llama3.1-70B-Chinese-Chat
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Llama3.1-70B-Chinese-Chat
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0.796333
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0.824897
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0.796333
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0.807687
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7
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Qwen2-72B-Instruct
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Qwen2-72B-Instruct
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0.784000
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0.835435
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0.784000
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0.804195
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1.000000
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8
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Ensemble Model
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Ensemble Model
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0.840746
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0.819333
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9
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gpt-4o-mini (0-shot)
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gpt-4o-mini (0-shot)
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o1-mini (10-shot)
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o1-mini (10-shot)
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0.725000
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gpt-4o (10-shot)
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gpt-4o (10-shot)
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o1-preview (10-shot)
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o1-preview (10-shot)
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0.749000
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0.767732
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"],"text/plain":[" index model run \\\n","0 1 internlm2_5-7b-chat internlm2_5-7b-chat \n","1 2 internlm2_5-7b-chat-1m internlm2_5-7b-chat-1m \n","2 3 Mistral-7B-v0.3-Chinese-Chat Mistral-7B-v0.3-Chinese-Chat \n","3 4 Qwen2-7B-Instruct Qwen2-7B-Instruct \n","4 5 Llama3.1-8B-Chinese-Chat Llama3.1-8B-Chinese-Chat \n","5 6 Llama3.1-70B-Chinese-Chat Llama3.1-70B-Chinese-Chat \n","6 7 Qwen2-72B-Instruct Qwen2-72B-Instruct \n","7 8 Ensemble Model Ensemble Model \n","8 9 gpt-4o-mini (0-shot) gpt-4o-mini (0-shot) \n","9 10 o1-mini (10-shot) o1-mini (10-shot) \n","10 11 gpt-4o (10-shot) gpt-4o (10-shot) \n","11 12 o1-preview (10-shot) o1-preview (10-shot) \n","\n"," accuracy precision recall f1 ratio_valid_classifications \n","0 0.749667 0.804187 0.749667 0.766016 1.000000 \n","1 0.803000 0.803141 0.803000 0.802806 1.000000 \n","2 0.750000 0.788587 0.750000 0.764823 1.000000 \n","3 0.759000 0.800530 0.759000 0.774875 1.000000 \n","4 0.780000 0.810583 0.780000 0.792465 1.000000 \n","5 0.796333 0.824897 0.796333 0.807687 1.000000 \n","6 0.784000 0.835435 0.784000 0.804195 1.000000 \n","7 0.819333 0.840746 0.819333 0.828054 1.000000 \n","8 0.717667 0.785707 0.717667 0.729606 1.000000 \n","9 0.725000 0.789249 0.725000 0.748562 1.000000 \n","10 0.791667 0.822771 0.791667 0.803615 0.999667 \n","11 0.749000 0.796448 0.749000 0.767732 1.000000 "]},"execution_count":37,"metadata":{},"output_type":"execute_result"}],"source":["perf_df = get_metrics_df(df_best, variant=\"index\")\n","perf_df"]},{"cell_type":"code","execution_count":38,"metadata":{},"outputs":[{"name":"stderr","output_type":"stream","text":["/var/folders/7x/56svhln929zdh2xhr3mwqg4r0000gn/T/ipykernel_19727/4003496019.py:8: FutureWarning: \n","\n","Passing `palette` without assigning `hue` is deprecated and will be removed in v0.14.0. Assign the `y` variable to `hue` and set `legend=False` for the same effect.\n","\n"," sns.barplot(\n"]},{"data":{"image/png":"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","text/plain":["
"]},"metadata":{},"output_type":"display_data"}],"source":["# plot horizontal bar chart\n","\n","import matplotlib.pyplot as plt\n","import seaborn as sns\n","\n","fig, ax = plt.subplots(1, 1, figsize=(8, 4))\n","\n","sns.barplot(\n"," x=\"f1\",\n"," y=\"model\",\n"," data=perf_df,\n"," ax=ax,\n"," palette=\"viridis\",\n"," orient=\"h\", # Specify horizontal orientation\n",")\n","\n","# Add data labels\n","for p in ax.patches:\n"," ax.annotate(\n"," f\"{p.get_width()*100:.2f}%\",\n"," (p.get_width(), p.get_y() + p.get_height() / 2),\n"," ha=\"left\",\n"," va=\"center\",\n"," xytext=(5, 0), # Offset by 5 points horizontally\n"," textcoords=\"offset points\",\n"," )\n","\n","ax.set_title(\"F1 Score Comparison Across Models\")\n","ax.set_ylabel(\"Model\")\n","ax.set_xlabel(\"F1 Score\")\n","ax.set_xlim(0, 0.95)\n","\n","plt.tight_layout()\n","plt.show()"]},{"cell_type":"code","execution_count":46,"metadata":{},"outputs":[{"data":{"image/png":"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","text/plain":["
"]},"metadata":{},"output_type":"display_data"}],"source":["plot_value_counts(df_best, \"title\")"]},{"cell_type":"code","execution_count":52,"metadata":{},"outputs":[{"data":{"text/plain":["Index(['甄庄哭声', '湖畔迷影', '湖边的谜影', '海岸之谜', '湖畔之谜'], dtype='object', name='title')"]},"execution_count":52,"metadata":{},"output_type":"execute_result"}],"source":["df_best[\"title\"].value_counts().keys()"]},{"cell_type":"code","execution_count":54,"metadata":{},"outputs":[],"source":["def analyze_model(model):\n"," for title in df_best[\"title\"].value_counts().keys():\n"," print(f\"Title: {title}\")\n"," plot_value_counts(df_best[df_best[\"title\"] == title], model, preprocess_func=extract_answer)"]},{"cell_type":"code","execution_count":57,"metadata":{},"outputs":[{"name":"stdout","output_type":"stream","text":["Title: 甄庄哭声\n"]},{"name":"stderr","output_type":"stream","text":["/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:402: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[\"backup\"] = df[column_name]\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:403: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[column_name] = df[column_name].apply(preprocess_func)\n"]},{"data":{"image/png":"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","text/plain":["
"]},"metadata":{},"output_type":"display_data"},{"name":"stderr","output_type":"stream","text":["/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:600: RuntimeWarning: invalid value encountered in divide\n"," sns.heatmap(\n"]},{"data":{"image/png":"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","text/plain":["
"]},"metadata":{},"output_type":"display_data"},{"name":"stdout","output_type":"stream","text":["Title: 湖畔迷影\n"]},{"name":"stderr","output_type":"stream","text":["/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:419: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[column_name] = df[\"backup\"]\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:420: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df.drop(columns=[\"backup\"], inplace=True)\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:402: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[\"backup\"] = df[column_name]\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:403: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[column_name] = df[column_name].apply(preprocess_func)\n"]},{"data":{"image/png":"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","text/plain":["
"]},"metadata":{},"output_type":"display_data"},{"name":"stdout","output_type":"stream","text":["Title: 湖边的谜影\n"]},{"name":"stderr","output_type":"stream","text":["/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:419: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[column_name] = df[\"backup\"]\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:420: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df.drop(columns=[\"backup\"], inplace=True)\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:402: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[\"backup\"] = df[column_name]\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:403: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[column_name] = df[column_name].apply(preprocess_func)\n"]},{"data":{"image/png":"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","text/plain":["
"]},"metadata":{},"output_type":"display_data"},{"name":"stdout","output_type":"stream","text":["Title: 海岸之谜\n"]},{"name":"stderr","output_type":"stream","text":["/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:419: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[column_name] = df[\"backup\"]\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:420: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df.drop(columns=[\"backup\"], inplace=True)\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:402: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[\"backup\"] = df[column_name]\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:403: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[column_name] = df[column_name].apply(preprocess_func)\n"]},{"data":{"image/png":"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","text/plain":["
"]},"metadata":{},"output_type":"display_data"},{"name":"stdout","output_type":"stream","text":["Title: 湖畔之谜\n"]},{"name":"stderr","output_type":"stream","text":["/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:419: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[column_name] = df[\"backup\"]\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:420: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df.drop(columns=[\"backup\"], inplace=True)\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:402: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[\"backup\"] = df[column_name]\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:403: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[column_name] = df[column_name].apply(preprocess_func)\n"]},{"data":{"image/png":"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","text/plain":["
"]},"metadata":{},"output_type":"display_data"},{"name":"stderr","output_type":"stream","text":["/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:419: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[column_name] = df[\"backup\"]\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:420: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df.drop(columns=[\"backup\"], inplace=True)\n"]}],"source":["analyze_model(\"gpt-4o (10-shot)\")"]},{"cell_type":"code","execution_count":56,"metadata":{},"outputs":[{"name":"stdout","output_type":"stream","text":["Title: 甄庄哭声\n"]},{"name":"stderr","output_type":"stream","text":["/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:402: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[\"backup\"] = df[column_name]\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:403: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[column_name] = df[column_name].apply(preprocess_func)\n"]},{"data":{"image/png":"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","text/plain":["
"]},"metadata":{},"output_type":"display_data"},{"name":"stdout","output_type":"stream","text":["Title: 湖畔迷影\n"]},{"name":"stderr","output_type":"stream","text":["/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:419: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[column_name] = df[\"backup\"]\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:420: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df.drop(columns=[\"backup\"], inplace=True)\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:402: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[\"backup\"] = df[column_name]\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:403: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[column_name] = df[column_name].apply(preprocess_func)\n"]},{"data":{"image/png":"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","text/plain":["
"]},"metadata":{},"output_type":"display_data"},{"name":"stdout","output_type":"stream","text":["Title: 湖边的谜影\n"]},{"name":"stderr","output_type":"stream","text":["/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:419: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[column_name] = df[\"backup\"]\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:420: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df.drop(columns=[\"backup\"], inplace=True)\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:402: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[\"backup\"] = df[column_name]\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:403: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[column_name] = df[column_name].apply(preprocess_func)\n"]},{"data":{"image/png":"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","text/plain":["
"]},"metadata":{},"output_type":"display_data"},{"name":"stdout","output_type":"stream","text":["Title: 海岸之谜\n"]},{"name":"stderr","output_type":"stream","text":["/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:419: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[column_name] = df[\"backup\"]\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:420: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df.drop(columns=[\"backup\"], inplace=True)\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:402: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[\"backup\"] = df[column_name]\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:403: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[column_name] = df[column_name].apply(preprocess_func)\n"]},{"data":{"image/png":"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","text/plain":["
"]},"metadata":{},"output_type":"display_data"},{"name":"stderr","output_type":"stream","text":["/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:600: RuntimeWarning: invalid value encountered in divide\n"," sns.heatmap(\n"]},{"data":{"image/png":"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","text/plain":["
"]},"metadata":{},"output_type":"display_data"},{"name":"stdout","output_type":"stream","text":["Title: 湖畔之谜\n"]},{"name":"stderr","output_type":"stream","text":["/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:419: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[column_name] = df[\"backup\"]\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:420: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df.drop(columns=[\"backup\"], inplace=True)\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:402: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[\"backup\"] = df[column_name]\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:403: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[column_name] = df[column_name].apply(preprocess_func)\n"]},{"data":{"image/png":"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","text/plain":["
"]},"metadata":{},"output_type":"display_data"},{"name":"stderr","output_type":"stream","text":["/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:600: RuntimeWarning: invalid value encountered in divide\n"," sns.heatmap(\n"]},{"data":{"image/png":"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","text/plain":["
"]},"metadata":{},"output_type":"display_data"},{"name":"stderr","output_type":"stream","text":["/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:419: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[column_name] = df[\"backup\"]\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:420: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df.drop(columns=[\"backup\"], inplace=True)\n"]}],"source":["analyze_model(\"o1-preview (10-shot)\")"]},{"cell_type":"code","execution_count":55,"metadata":{},"outputs":[{"name":"stdout","output_type":"stream","text":["Title: 甄庄哭声\n"]},{"name":"stderr","output_type":"stream","text":["/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:402: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[\"backup\"] = df[column_name]\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:403: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[column_name] = df[column_name].apply(preprocess_func)\n"]},{"data":{"image/png":"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","text/plain":["
"]},"metadata":{},"output_type":"display_data"},{"name":"stdout","output_type":"stream","text":["Title: 湖畔迷影\n"]},{"name":"stderr","output_type":"stream","text":["/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:419: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[column_name] = df[\"backup\"]\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:420: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df.drop(columns=[\"backup\"], inplace=True)\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:402: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[\"backup\"] = df[column_name]\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:403: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[column_name] = df[column_name].apply(preprocess_func)\n"]},{"data":{"image/png":"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","text/plain":["
"]},"metadata":{},"output_type":"display_data"},{"name":"stdout","output_type":"stream","text":["Title: 湖边的谜影\n"]},{"name":"stderr","output_type":"stream","text":["/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:419: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[column_name] = df[\"backup\"]\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:420: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df.drop(columns=[\"backup\"], inplace=True)\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:402: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[\"backup\"] = df[column_name]\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:403: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[column_name] = df[column_name].apply(preprocess_func)\n"]},{"data":{"image/png":"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","text/plain":["
"]},"metadata":{},"output_type":"display_data"},{"name":"stdout","output_type":"stream","text":["Title: 海岸之谜\n"]},{"name":"stderr","output_type":"stream","text":["/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:419: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[column_name] = df[\"backup\"]\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:420: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df.drop(columns=[\"backup\"], inplace=True)\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:402: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[\"backup\"] = df[column_name]\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:403: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[column_name] = df[column_name].apply(preprocess_func)\n"]},{"data":{"image/png":"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","text/plain":["
"]},"metadata":{},"output_type":"display_data"},{"name":"stdout","output_type":"stream","text":["Title: 湖畔之谜\n"]},{"name":"stderr","output_type":"stream","text":["/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:419: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[column_name] = df[\"backup\"]\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:420: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df.drop(columns=[\"backup\"], inplace=True)\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:402: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[\"backup\"] = df[column_name]\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:403: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[column_name] = df[column_name].apply(preprocess_func)\n"]},{"data":{"image/png":"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","text/plain":["
"]},"metadata":{},"output_type":"display_data"},{"name":"stderr","output_type":"stream","text":["/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:419: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame.\n","Try using .loc[row_indexer,col_indexer] = value instead\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df[column_name] = df[\"backup\"]\n","/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:420: SettingWithCopyWarning: \n","A value is trying to be set on a copy of a slice from a DataFrame\n","\n","See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n"," df.drop(columns=[\"backup\"], inplace=True)\n"]}],"source":["analyze_model(\"Ensemble Model\")"]},{"cell_type":"code","execution_count":39,"metadata":{},"outputs":[{"data":{"image/png":"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","text/plain":["
"]},"metadata":{},"output_type":"display_data"},{"name":"stderr","output_type":"stream","text":["/Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py:600: RuntimeWarning: invalid value encountered in divide\n"," sns.heatmap(\n"]},{"data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAooAAAK8CAYAAABoV548AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy80BEi2AAAACXBIWXMAAA9hAAAPYQGoP6dpAADNP0lEQVR4nOzdd1gU1xoG8Hdpu0sVG1XA3gsW7A0FNfZeULEbNYldoyKIvZtrYmyxd2Osib2XiL1gBRsdRKSXXcreP9DVdQcFgw7I+7vPPrmcOTtz5nh2+fjOzBmJSqVSgYiIiIjoAzpiN4CIiIiI8iYGikREREQkiIEiEREREQlioEhEREREghgoEhEREZEgBopEREREJIiBIhEREREJYqBIRERERIIYKBIRERGRIAaKRPmMUqnEunXr0Lx5c1hYWEAmk8He3h59+vTBiRMnvkob7ty5g1KlSsHIyAgrV67MlX12794dtWvXzpV95cTq1asRGRn5yXpeXl7/+VgSiQSPHj36aB2x+oGISAgDRaJ8xN/fH05OTpgzZw66dOmCkydPws/PDzt27IC9vT26dOmCvn37Ii0t7Yu2Y8OGDahSpQpu3boFV1fXXNmnvb09ypQpkyv7yonbt29j8eLFH61z8eJFrF279qu0R6x+ICISIuGznonyh+joaDg5OaFSpUrYvn07jIyMtOoEBASgQ4cOWLZsGZydnb9YWwYMGABLS0vMnz//ix3ja3FxccHly5fx4sULFC1aVLCOq6srTpw4gfj4eBgbG3/2sSQSCR4+fIgKFSp89j6IiL4mZhSJ8okFCxZAT08Pu3btEgwSgcxs1O3bt7WCxBMnTsDZ2RnGxsYwNjaGs7MzTp48qVHn7NmzsLS0RFJSEiZOnAhra2uYmJigffv2ePHihbpevXr1sGnTJixYsAASiQQbN27EixcvIJFIkJKSotWmn3/+GQMGDFD/vH37dpQsWRImJiYYOnQo4uPjAQAzZsxAr169NN7r7++PPn36oFixYpDJZKhevTp+//13fPj37dsp3TVr1qBixYqQy+WoU6cOTp8+/cl+ffLkCSwsLLBkyRLB7T4+Prh69SqMjY3x5MkTre1//fUX6tevD0NDQxQuXBhdu3bFo0ePMGbMGMyYMQMAMGbMGEgkEgBAxYoV1cFms2bNsGTJErRp0wZyuRx+fn4a/eDh4YHq1atDqVSqj7du3TpYW1vj9evXnzw3IqL/ioEiUT6xYcMGTJgwATKZ7KP13gYkb61cuRKdO3dG69atcfPmTdy4cQOurq7o2LEjVq1apVE3NTUV3333HXR0dHD69GmcPXsWhoaGaNmyJRQKBQDg8OHD6NGjB3744QeEhYWhZ8+e2T6H0NBQ/PDDD1i3bh3Onj2LmJgY3Lp1S7Du1atXUbt2bRgbG+PYsWN49OgRJk6ciPnz56Nv375aweLUqVNx6NAhbNy4Ebdu3ULHjh3x3Xff4cGDB1m2R6lUIjAwECtXrsSKFSsEg69Zs2Zh9OjRKFu2rFag6OHhge+//x7u7u7w9fXFyZMnUbNmTTRt2hS3b9/W2EdYWBgA4MKFC3j27Jl62/z589GwYUPcu3cP5cqV09i/l5cXdHR04OnpCQB48eIFxo0bhz/++AOFCxfO8ryIiHKNiojyvOjoaBUA1d27d3P0Pn9/f5WBgYHq1KlTWtuOHz+uMjAwUPn7+6tUKpXqzJkzKgAqLy8vjXopKSkqCwsL1eHDh9Vl7u7uqsmTJ6t/fv78uQqAKjk5Wes4kydPVrm7u6tUKpXqxo0bqkqVKgm21cvLS9WzZ0+VSqVSpaamqsqUKaPVFpVKpQoODlZZWFioNm7cqC4DoHJ2dlalp6dr1O3YsaNq0qRJgsdTqVSqhw8fqszMzFQqlUrVrl071bRp0zS2X79+XWVqaqp6/fq1qlu3bqq5c+eqt505c0ZlZGSkevjwodZ+r169qtLT09NqPwCN+k2bNlXVqlUry35QqVSqu3fvquRyuerChQuqZs2aqYYOHZrl+RAR5TZmFInygfT0dACArq5ujt63Y8cOtGjRQvB6RRcXFzg7O2Pnzp3qMolEgrFjx2rUk0qlqFmzJh4/fvwZLYdG5q969eqQyWTo27cvwsPDs3zP5cuXERkZialTp2pts7GxwdixY7FlyxaN8jFjxkBHR/MrrUGDBh9t95MnT1CqVCkAgKenJ3799VdER0ert8+aNQs//PADzM3NUbp0afj7+6u3bd68Ge7u7oLXG9apUwedO3fO8rjvc3Fx+ej2qlWrwsvLC61atUJAQACWLl2arf0SEeUGBopE+UDhwoVRvHhx3Lx5M0fvCwoK0prOfF/FihURFBSk/tnMzAxmZmZa9YyNjREXF5flft4GaBkZGVrb3k5ZA5mB7unTp1G4cGFUrlwZv/32W5btdnBwgIGBQbbaDQB2dnY5bre/vz9Kly4NIDO4a9iwIZYtWwYgcwmg06dPY9y4cQCA0qVLa0w9BwcHf/SmlOzeuVy8ePFP1mnXrh2SkpLQsGHD/3QzDRFRTjFQJMoHJBIJevfujWXLlqmzi9lhY2Pz0Yza06dPYWNjo/5ZKpUK1tPR0REMAt96G7wkJiZqbXv+/LnGz2ZmZli+fDkuXryIBQsWaGQ032/306dPszzXD9udVds/1e4nT56oA0Ug85rA5cuXIyYmBrNmzcKIESNQpEgRANDKKJYoUeKT2crs+NQ1p2lpaRg4cCDatGmDPXv24PDhw9naLxFRbmCgSJRPeHh4IDIyEgMHDtS4C/Z9ERERaNmyJS5dugQA6NmzJ06fPq3++X2XL1/GsWPHcnQzSlbMzc1RpEgRXL58WaP8/v37OHbsmOB7KlasiA4dOgi2rUGDBihatCgWLVqkte3Vq1dYtmwZ3Nzc/nO73596BoC6deuibt26+P7773Hs2DFMmDBBva106dIIDw9HQkICAMDd3R0bN24UvFnm2rVr2L9/f7ba8OHNRx+aN28eoqKisHv3bsyZMweDBw9GVFRUtvZNRPRfMVAkyieKFi2KY8eO4fLly6hRowZWrVqFe/fuISgoCFevXsWMGTNQoUIFGBkZoWbNmgCAChUqYMGCBWjTpg2WLl0KX19f3L59G/PmzUPLli2xYMEClC9f/j+3TSKRYNCgQfjpp5/w999/4/nz59i2bRvatGmDJk2aqOtt2bIF3bt3x+3bt3H69Gns2bMHjRo10tqfvr4+tm7dirlz52LUqFG4fPkyHj9+jC1btsDR0RFOTk4YOHDgf273+1PPb3l5eWHXrl0YNmwYihUrpi4vUaIEDAwM1JnCJk2aYMyYMahXr566b2/duoW5c+eiS5cuaNy4sdbxdHV1ERgYqF4S6FNu376NuXPnYsuWLTA2NsbYsWNRuXJljBgx4j+cNRFR9jFQJMpHKlasiDt37mDYsGHYunUrGjVqhNKlS6NLly7w9fXFpk2bcODAAcjlcvV7xowZg127duHAgQOoX78+GjVqhKNHj2LPnj0YPXp0rrVt3rx56Nu3L4YOHYqqVatiy5Yt+Oeff9RBKwC0bdsWhoaGaNq0Kdzc3DB69OgsM5oNGzbElStXEBkZiXbt2qFatWpYsGABJkyYgN27d2vduJJTqampCAwM1MgoApnZzPbt22PixIka5To6OnBwcNCYfp49ezbWr1+PPXv2oG7dumjRogV8fX1x4cIFVK1aVeuYPXv2RLt27bJcs/F9SqUS/fv3x7hx49CgQQMAmQH5pk2bcPLkSWzbtu1zTpuIKEf4ZBYiIiIiEsSMIhEREREJYqBIRERERIIYKBIRERGRIAaKRERERCSIgSIRERERCWKgSERERESCGCgSERERkSAGikREREQkSE/sBnwJcpcFYjfhm/Hir3FiN+GbYWaoL3YTvglxyaliN+GbYSrnmMwt6Rl8dkVuMDL4+LPPvyS54w+iHTv51m+iHftTmFEkIiIiIkHfZEaRiIiIKEckzJ0JYa8QERERkSAGikREREQkiFPPRERERBLxbqTJy5hRJCIiIiJBzCgSERER8WYWQewVIiIiIhLEjCIRERERr1EUxIwiEREREQlioEhEREREgjj1TERERMSbWQSxV4iIiIhIEDOKRERERLyZRRAzikREREQkiIEiEREREQni1DMRERERb2YRxF4hIiIiIkHMKBIRERHxZhZBzCgSERERkSBmFImIiIh4jaIg9goRERERCWKgSERERESCOPVMRERExJtZBDGjSERERESCmFEkIiIi4s0sgtgrRERERCSIgSIRERERCeLUMxERERFvZhHEjCIRERERCWJGkYiIiIg3swhirxARERGRIGYUiYiIiJhRFMReISIiIiJBDBSJiIiISBCnnomIiIh0uDyOEGYUiYiIiEgQM4pEREREvJlFEHuFiIiIiAQxUCQiIiIiQXkuUExMTES1atWQlpamLjt79iymTZumUUZERESUayQS8V55WJ4LFKVSKR48eACVSoVNmzapy+fPn4+UlBQRW0ZERERUsIh2M0tiYiJcXV0hlUoBACqVCmZmZti/fz9kMhlUKhXGjh0Ld3d3FCpUCAAgyeNRNxEREeVTvJlFkGi9IpVKERQUhMGDB+PJkycYMmQI/Pz8AAAymQwGBgbQ09NT/wwABgYGYjWXiCjH0tPTsW3jOqSnp4vdFKJsuX/PF5cunBe7GZSHiBYo6unpoVChQnBzc1P/V0dHR70NAPT19QEAqamp0NfXV/8sFhNDA2z4uR0iD47Fs50jMb5n3Szrdm5cHjf/GIyXB8bg0PweKGVdKMu6ThWt0b5B2Sy3j+3uhCKmcvXPzRzt4bNqACIPjsWpZW6oXrr4Z52PmBITEjDTYzJaNamDzm2aY9umdVnWvXD2FPp0bYuWjWph9IhBCAoMUG8bM2IwmterrvFqUqcKzp85qa4z+vuBaOpUFTu2bNDat++dmxjUpytaNqqFYf174sF939w90S8sISEBUyaNR73ajmjZrBHW/7Emy7qnT51E++9awalmNQwZ2B8BAS80tq/6/Tc0b9IADZxqwtNjCpISE7N1nOvXrqJmtUoaL8eqFdGjS0eoVKpcP+cv5e2YdG1cB51aN8e2jVmPyfNnT6F3l7Zo0bAWRn+vOSbf99eu7bh98zp0dXUBAOFhoWhWt7rGq6lTNXRs1RSKN5fW3Lp+FUP69YBr4zr4fqAbHj24l/sn+4XlhXEJAM+ePoV7395wqlkNnTu0xYXz53L1PL+0hIQETJs8AQ2dasLVuTE2rlubZd0zp06iU7tWqF+7OoYNdkfgB/24csVy1K5eCT+NGp7lPjIyMjBnphcS3+tjANixbTO+c3VGkwZ18PPEcYh+/fo/nVeexWsUBeWpPOvbQFGhUGDmzJlISEjAzJkz8dtvv8HS0lLk1gErxrRGanoGSvdagWY/bUXnxuUxuG11rXp1KljBa0BjuM89CJuuy/H7vhvY7tkJerra3W0o08e6yW0FtwFAlZLF4Dmgsfpnu+Km2DSlPaauOQvrLv/Dr39dw1+zusFQJm4QnVOL5s6Anp4e/jp8GivXb8O5U8dxYO9urXpPn/hh8TxvTJo6A0fO+MC5ZStM/Gk4FAoFAOCXletwxueO+vXb2s0oVaYsGjdrod7H/1ZtgPuQ77X2/TrqFaZNHAP3Id/j6Fkf9Bs0DFPH/4ioV6++3InnspkzpkNPTx8nzpzH5u27cPL4Mfy5e6dWPX+/x5jl7Qkv71m45HMdrq3bYOTwIep+3L1rB86cPoUt23fh+OnzkEgk8Paanq3j1K7jhJt3H2i86tVvgKHDR+Sry0UWzpkBXT097D1yGqs2bMPZ08dx4K8sxuRcb0yaNgNHz/qgectWmPDjuzH5VtSrV9i2aR3GTp6mLrO0ssbZK3c0Xu07dUWvvgMglckQER6GOTOm4cdxk3H4zL8YNWYCZntNRWxMzJc+/VyVF8alUqnEqBFD0ea7drjkcx3Tvbzh7TkN/n6Pv04n5ILZ3p7Q09PD0VPnsHHrTpw8cQx7sujHOTO9MN1rFs5fvgbXVm3ww/dDNcbkiFE/YdUf2n8sv2/P7p0wL1wYrq3bqMtOHDuKPbt3YdXa9Th26jxsbGzg5TEl906S8rw8FSi+zT5kZGTA398fHTp0gL+/P27fvo3q1bUDsq/JuogxmtSww4+/HENckhKBL+MweOE/mNirvlbdhlVKYO/5x/B9FonUtAwcufIUCUlKVHIoqlV3wXBnOFgWEjymvp4O1k1upxFEmhpJMWzxYZy++QKpaRnYf9EPr+KSUMGuSK6d65cW+TICt25cxfgpnjA2NoGllTWmes/Fto1/aNXdu3sHevcbhBq16kBfXx8du/ZEhUpVcPLYP4L73rRuFfoNHJatAOXwwX1wdmmNps4u0NPTR+NmLdC6bUfs36P9RZwXRURE4NrVK/Dw8oaJiQmsrW0we95CrF+rnb3ZsX0bBgwagtp1nKBvYIAePXujcpWqOPzPIQDA1s0b4eU9C7a2JWBsbAwPT2/cvnUTQYGBOToOANzzvYvw8HC0dG31Rc8/N70dkxPeG5PTvOdiq9CY3LUDffoPguObMdmp25sxeVRzTP7+v8Xo2rMPrG1sP3rcSxfOoVO3ngCAB/d8Ud2xFqo71oKenj6qVndE+QqVcOf2jdw94S8or4zLUyeOo0yZcujVxw36BgaoWas2ho0YhY0bss4U5yUvIyJw/eoVTPV8d34z5y7AhnXa/bhrxza4DxqMWnWcoK9vgG49eqFSlao4cvjvbB8vOjoa69auws/TPDXKZXIZ5i9aCjt7B8jlcgwYNBQ3rl/7z+dH+UeeDBTlcjm2bNmifhUpUgR9+/YVtW31K9vi9I0XUKS+u9bocWAUEpKVKG1jrlH31M3n6OlcEU4VrWGgr4uezSuiVnkrvIpJ0qjX2qkUmlQvgQMX/QSP6T2wCe4/j0RIZLy67N7zSBy7+gwAYCw3wLD2jjAzlOJhQP7JgvneuYXaTvXVNzIBgEPJ0pDLDbWm8O7evoFGTZ01ypq1cMWNq1e09vv40QOEhgSjecvsBSh3bt9EoybNP9i3C25c88nuqYjq9q0bqFe/gUY/lipdGnJDQ63pu1s3rqN58xYaZS4urXDV5zKioqKQnJyMSpWrqLfp6+ujaXNnXL3ik6PjAMDa1SsxdNj3+Sqb6HvnFmrXzd6YvJPVmLz2bkzeuXUDfo8fok//gR897vbN69G5ey/I5YYAgKo1HHH39k34XLqA1NRUXPW5hEvnz6Jw4fzzh2BeGZc3b1xHc+cP9u3aCld8Lufi2X45t2/dRN0Pz69UaRgaGmlNK9+6eQNNP+jHli6uuJaDc12+bDG69+iNEiXsNMobN2mGsuXKA8j8w+aXpYtQv2HDHJ5NPiHREe+Vh4l213N6ejqUSiX8/PzU/327TmJaWhp8fX2hp6eHAwcOICUlBd27dxerqQCAEsVN8TQ0WqvcP/g1SloVwtOQd9t8n0Vi3T+3cW55PwBAenoGpq49i9CoBHWdIqZy/Dq6FXrP3I9hHRy19tuwqi06Ny6Put9vwNXVg7S2mxoaIOLAWADAyKVHkazIP2tMRoSHweaDLyMAKGHvgLCQYJSws1eXvXr5UisjU8LeAWGhwVrv37xuNfoNHKq+hOFTXgq0w86+JEJDtPedF4WHhcHuvb56y8GhJIKDgmBv76Aue/kyArYlSmjWK1kSwcHBCA8LFd5PyZIIDg5CoUKFsn0cv8eP8Pz5M7Rq893nn5gIIsLDYGurPSbt7B0Qmo0xaefgoB43GRkZWLZwDmJjotGuRWNUr1kLU73mwOzN6g1vvY56hbOnTmDrnwfVZUWLFsOIn8Zh4ugR6rLuvfuiSrUauXCWX0deGZdh4WEaU6gAYG5eGEqFEkqlMs/fHBkeHooSdtpj0t7BAcHBQbB7rx8jX0bA1rbEB/Uy+yk77t/zxcH9e2FhYYnt2zbDfeAQuA8crFHn7OlTGDd6FGQyGTZu3ZXzE6J8S7QwNiUlBX5+fqhYsSL8/PxQoUIFJCVlZtwUCgVu3bqFmjVrYsmSJVi7NusLeBUKBeLi4jReqozcD5pkUj0kK1K1ypMVaZAbaMbbbeqWxsDvqsN5zFYUbrcE/eYchImh5pfSirGtsP7IHVx/HKa1TxNDA6yd2BbDFh9GXJJSsD1xSUpYdFyG3t774NG/IRpWzXp6K69RKhSQyeRa5VKpFAqF5lqZGaoMrcBPKpWpL/x/69kTfzx76o+Wrdpmux0KRYr6jvq3DKRSKD+41iyvSknRbj8ASGVSrevlMjKy7keFQiG4H9mb7Tk5ztrVKzF4yHD1zRv5hUKhgFRgTBrIcjAm39Q7dfwIlAollq5Yiz//Po4iRYth0ZwZWvveuXUT2nfqCiNjY3XZ44f3seKXxVj4y+84efE6lv62Brq6ulAqhb8H8qK8Mi4VKSnC3zMyab5Yk1eRktX3pAyKlGz0o0ym1d9ZWbF8Gbp064Fdfx3AqrUbsHfPbpw7e1qjTjPnFjhx5iKGj/wRP40chpgY7cRJvsebWQSJFigaGRlBoVAgPT0dGRkZyMjIwJMnT5CRkQGFQoH+/fsjODgYw4cPh5OTE5YtWya4n3nz5sHMzEzjlfb8TK63N0WRBqmBdgK2sKkcSR8EkF4DG2P4osO4fD8EyYo07LvwGMmKVHzfsSYAoK9rFVgWNsaC7cLTAktGtcT+C49x4e7H/xqMS1Ji/0U/TF1zBj91qfOZZ/b1ZRWMxcXGQvrBF7+OREfrztm42Bitels2rIGb++AcBShSqUzrF7DQvvMqWRa/CGJjYrR+geroaPdjTGwMZHL5mwBdez8xMdGQyeXZPs6zp0/x8MEDtG3f4XNPSTRSqRRKpfCY1OpLgTEZG/uuL04fP4ofx01CmbLlYWJiirGTpuGe7x28jnp3eUhsTAxOHP0H3XtrXlKz8Y/VGDZqNOo3agKpTIY69RqgYuWqWPv7/3LrVL+4vDIupTJZlv+m8nzwGZfKhL8nY2NiIJN/uh+F+ltIbGwMnj19iklTPGBiaopy5Stg/KSfsWeX9rXaRYoWhfvAwWjYuAkO/30oh2dE+ZWoE+MfLndjYGCAlJQUpKWlIT09HUWKFMHs2bPx999/Y82aNYiKitLax5QpUxAbG6vx0ivZXKvefxX0Mk7wphMHSzM8D4vRKCtlVQiXH4RolF19FIaWtUqiRDETzB/ujBplLBB1aByi/xmPPi0qY+OU9pg7tBna1S+DXs6VMKJTLUT/Mx7R/4yHvaUZnuwYie/qlUbVUsUgl2oGrHefRcKyiDHyCwtLK4SFhmiVh4WGwNpGc/qkaPHiiAgP+6BesMbUX1BgAB7c80XrtjkLUIpbWiHsg2nmzDbkj+yspZUVQkK0+zEkJFhrGqp4cQuEhYVq1gsOho2tLSytrBEiMN3+dj/ZPc4fa1dhwKAh6uWt8pMsx2RINsdkSDCs3oyb4OBAlCrzbrkrfX192DuU1HjPnzu2oHW7DjAxNdPYT1DAc1R3rKVRVqlKNVy9/O/nnZgI8sq4tLK0Qkiw5vtfRUbC1MwM+nl82hkALC2Fzz80JBg2H/RjMYF+FKonJDgoCHYODhq/j8uWK4+wsFBkZGTA9+4drfeUK18BryIjs3sqlM+JGiimp6cjMDBQ4y8hmUwGX19fjTR6/fr1cePGDRQpon1Bt1QqhampqcZLopP7v6gu3w9Gc0d76Oq8SxFXcigKqb4unoXGaNQNehmPMjaFNcocy1ggIjoRQZHxsO26HIXaLoH5m9f2U/cxYN4hTF17Fn9ffgLTNovV28zbLkFAeCzK9P4dh32e4vuOtdDLubLGvmuVt8xXN7NUre6IG9d8NJ7d/eyJP5SpSth+cM1gteo1ceXyRY2ys6dOoLbTu7vNt25Yi159B0BPL2dLBFWr4Siw7+Oo5VQvR/sRSw3HWrjqc1mjH/39M6/5tbPXvHbLsWYtXLp4QaPs5PFjqFevAYoUKQJ9fX28eP5MvS0tLQ1nT5+GU7162TpOUGAgbt28gY6dOn+JU/3iqlZ3xI2r2mMyVWhM1qiJK/9mPSaLFbfAsyf+6m1paakICgyApbUNACAhIR7/HNyHnm7uWu2wsrFFwIvnGmV+jx6gsMB3X16VV8al0L5PvNl3flDDsSauXdEck0/8/aBMVWpdm1nDsSb+/bAfTxxD3Xraq3J8qLiFBQJePEdq6ruZsSf+frC2sYGOjg48pkzSunnmwT1flCpd+jPOKo/jzSyCRG1daGgoSpYsiVfvrVuno6ODypUrY+jQofjf/95NtxgaGorRRLXQqAT43A/BohEtYCTTh20xE/w+tjXmv5k+3jilPbo2qQAAWP7XNayb1BYV7TMDybb1y2Bi7/pY98/t/9yOVQdu4Ge3+qhXyQYG+rpo5mgPT/fGWLJL+y7gvKpYcQtUqVYDvy1biKSkJESEh2HR3BnoP2gYAGCmxyScPnEUANClZx9sXrcaD+7dRVpaKv45uBdPn/ihRavMmyXCQkNw8/oVtO3YJcftaNuhC47+cxA+ly4gLS0N/144i9MnjqJzt165dq5fkoWFBao7OmLRgnlISkxEeFgYZnpNx9DhmTdC/DxxPI4dPQwA6O3WF2tXr8Tdu3eQmpqKfXv3wM/vMdq0bQcA6Nt/AGZ4eiAiPByJiQmYP3cW6tavD1vbEp88DgCs+2M1+rkPzBeZGiFvx+SvS9+NyYVz3o1J72nvxmTXnn2wef1q3H87Jg9kjsmWb8Zk5269sHzpAjzxf4z4+Dj8snAuatSsDXPzzD8e/9q5HS1c26BQIXOtdvTs0x+/LJqL+753oFQqcfvmdfxv8Xx07tH7K/XEf5dXxmULF1fcu3cXhw7sR2pqKu7cvoWN6/+A+6DBwg3PY4pbWKBaDUcsWTgPSUmJCA8Pw6wZ0zFkWOb5TZ00HsePHgEA9OrTF+vWrILvm37cv+8v+Ps9Ruvv2n3yOMWKFUeVKtWwcN5sxMfFwe/xYyxdNB993PoDANz6ucPb0wPBQUFITkrCnt074et7F66t89cNa/T5RJ0jMjIygkql0goCv//+e2zZsgUrV64UqWXCfvjlKP73kyte7P4B8UlK/PrXNWw6ehcAUMbWHJZFjAAAm47ehbmxDAfndoe5iQwPXryC+9yDuOkX/p/b4PssEj8tP47lo11RxsYcj4NeY9jiw/APzl8r5U+Y6oWl82ejc+umkBsaoadbf7Tr2BUAEBT4AlGvMqc1SpcphzETp2K21xS8jAhH5arVsfCXleo7Fp/4P0bfAUM+6w7GwkWKYub8JVi2YA48Jo1GydJlMGfR/2Cej5Yime41E3NnzYBz00YwMjJCP/cB6NI1c4WAgIDn6umhsuXK4+ep0zHt50mICA9Dteo1sGLlGnW/9ejZG6+jotCze2coFQq4tGoND0/vbB0nIyMDcbFx6Nqtx1c++9w1cVrmmOzU6r0x2Ul4TI6eOBWzPTPHZJWq1bHof+/GZONmzoiOfo2pE0YjKTERTZu3xMRpXurjhIQEYdio0YJtqF23PtwHDcvc98sIlLCzx4ifxqFJsxaC9fOqvDAupVIplv+2CjNnTMfMGdNha1sCnjNmokyZrJ+ClddM8/TG/NnecGnWGEZGRnDrPwCdunQDAAQEvMCrV+/6cdIUD0yfOgkR4eGoWr0Glv++JtvfizNmz8OCubPQvo0LChcujGHfj0K9BplL4HTv2RtJiYkYNtgdMdGvUau2E37Nwb7zlTx+U4lYJCoRn7GVmJgIU1NTpKSkqK+P+Omnn7B9+3bs27cPjRs3/sQehMldFuRmMwu0F3+NE7sJ3wwzw/z19Jy8Ki5Ze/UB+jymco7J3JKekX8eV5mXGRmIF6zJ2wjfNPs1JB8ZK9qxP0XUjOLb4PDtxe979+7Fhg0bcOrUKTg5OYnZNCIiIipI8vi1gmIRtVd0dXWhUqmwbds2AEDHjh1x8uRJBolEREREeUCeWMdi9OjRWLp0KapUyXxU04oVKzS2p6WlISYmBocPHxajeUREREQFkuh5VolEgsePH8PJyQnbtm2Dj48PUlNTNV5KpTJfPZmAiIiI8hk+mUWQqBnFt/fRFC1aFKtWrUKjRo0watQoDBkyBC1a5K+7/IiIiIi+NaIGim8XEk1PT4euri769u0LU1NTdO7cGSdOnEDdunXFbB4REREVFLyZRZCovfJ2Jfj3V57v0KEDfvjhB3Tv3h3R0d/gQ8eJiIiI8glRA8WUlBQA0Hqw+6xZsyCXy+Hurv2IKyIiIiL6OkQNFJVKJSpVqqTxjEkgc9kcT09PmJqaIiMjQ6TWERERUYHBZz0LEvUaRRsbG/j6+gpu69OnD3r06AEdnbzdgURERETfqjyxjqIQiUSifnILERER0ReVx5epEQvTdUREREQkiIEiEREREQnKs1PPRERERF9NHr+pRCzsFSIiIqJ8Ii4uDm5ubjA2Noa1tTUWLFiQZd09e/agUqVKMDExgaurK548eZLj4zGjSERERJRPbmYZNmwYZDIZQkJCEBMTg27duqFQoUIYPny4Rr0rV67Aw8MDu3btQsWKFXH8+HF069YN165dy9HNwswoEhEREeUDISEhOHPmDFatWgUzMzPY29tj8+bNmDdvnlbdCxcuoHv37qhevToMDAzQrl07mJiY4P79+zk6JgNFIiIionyw4PalS5fg4uICmUymLqtYsSKMjY3h7++vUdfFxQXbt2+Hj48PFAoFtm/fjmvXrqFYsWI56hZOPRMRERHlA4GBgShTpoxWefny5fHs2TOULVtWXVa9enUMHz4c9evXBwDo6Ohg0aJFsLGxydExmVEkIiIiEpFCoUBcXJzGS6FQaNVLTk6GoaGhVrlcLkdycrJG2d9//421a9fi4sWLSExMxK5duxAXFweVSpWjtjFQJCIiIpJIRHvNmzcPZmZmGi+h6w7lcjlSUlK0yqOiorQCSA8PD2zYsAENGzaEoaEhunXrBkNDQ6xYsSJH3cJAkYiIiEhEU6ZMQWxsrMZrypQpWvXs7Ozw/PlzrfLnz5+jVKlSGmVPnz5FgwYNNMrq1q2LY8eO5ahtDBSJiIiowJNIJKK9pFIpTE1NNV5SqVSrjQ0bNsSpU6eQlpamLrt37x4UCoXWtYt2dnZaN7jcvHkTlpaWOeoXBopERERE+YCNjQ0aNGiAsWPHIiEhAUFBQRg6dCg8PDwAAH369MHu3bsBAOPGjUP//v1x//59pKSk4ODBg5g7d67WeoufwrueiYiIiPKJ1atXY+TIkbC0tISJiQnGjRuHwYMHAwD8/PwQFhYGABg8eDCio6PRunVrvH79GlWqVMGOHTtQu3btHB1Posrp7S/5gNwl68fZUM68+Guc2E34ZpgZZn8lfMpaXHKq2E34ZpjKOSZzS3rGN/erVBRGBuI9HcWo2wbRjp24Z6Box/4UTj0TERERkSBOPRMRERHlj0c9f3XMKBIRERGRIGYUiYiIqMCTSJhSFMKMIhEREREJYqBIRERERII49UxEREQFHqeehTGjSERERESCmFEkIiKiAo8ZRWHMKBIRERGRIAaKRERERCSIU89ERERU4HHqWRgzikREREQkiBlFIiIiIiYUBTGjSERERESCmFEkIiKiAo/XKApjRpGIiIiIBDFQJCIiIiJBnHomIiKiAo9Tz8K+yUBx4YweYjfhmzH71BOxm/DNWNCugthNIKIvJCpBKXYTvglGhaViN4E+8E0GikREREQ5wYyiMF6jSERERESCGCgSERERkSBOPRMREVGBx6lnYcwoEhEREZEgZhSJiIiImFAUxIwiEREREQliRpGIiIgKPF6jKIwZRSIiIiISxECRiIiIiARx6pmIiIgKPE49C2NGkYiIiIgEMaNIREREBR4zisKYUSQiIiIiQQwUiYiIiEgQp56JiIiIOPMsiBlFIiIiIhLEjCIREREVeLyZRRgzikREREQkiBlFIiIiKvCYURTGjCIRERERCWKgSERERESCOPVMREREBR6nnoUxo0hEREREgphRJCIiogKPGUVhzCgSERERkSAGikREREQkiFPPRERERJx5FsSMIhEREREJYkaRiIiICjzezCKMGUUiIiIiEsSMIhERERV4zCgKY0aRiIiIiASJEijGxsZi9OjRWW43MjJCZGSk+ufExMSv0SwiIiIieo8oU88SiQR79+7F//73P6xduxZJSUmQSCSQy+UYOnQo5HI5jIyMAAARERGoWbMm/v33X9jb24vRXCIiIvrGcepZmCgZRalUCplMBgBYsmQJ7t27B19fXyxYsABAZkbR0NAQALBnzx5YWFgwSCQiIiL6ykQJFPX09KCnl5nMNDAwwNq1a7F27Vro6uqqyzp06ICIiAj89ddfmDBhghjNJCIiooJCIuIrDxNl6llXVxcREREYOXIkwsPDMXLkSACAjk5m3KqnpwdnZ2c0btwY0dHR6Nq1qxjNJCIiIirQRLvrWS6Xo2HDhjA0NETDhg3RoEED9TaJRIIxY8agX79+KFOmDKRSqVjNJCIiIiqwRAsUzczM4ObmBnNzc7i5uaFv374AgDFjxiAuLg4AEBoairt37+LWrVtiNZOIiIgKAIlEItorLxNtwe0XL17AyckJ/v7+cHJyUpcXL14c0dHROHLkCM6dO4ehQ4diz549cHR0FKupRERERAWSaBlFS0tLbNmyBXZ2dti6dSs2b94MlUqFqVOnwtraGh4eHpDJZOjYsSMuXbokVjOJiIioAGBGUZgoGcWMjAzo6emhfPny0NXVVXdURkYGACAtLQ0XLlzAiRMnYG1tjTt37ojRTCIiIqICTZSMolKpRGpqKgDA3Nwc7dq1Q5s2bVCkSBEAQGpqKgwMDNCxY0cUKVIEsbGxiI6OFqOpX5wyORG3j+/97PffOvoXUhUpudiib5e5XA9OdmZiN4MKkPT0dGzbuA7p6eliN4WI6LOIEigmJSUhJiYGAHD+/Hk8fvwYz549w+XLlwEA8fHxSEpKApC5OPevv/4KY2NjMZqqQZmciONrFmD1iE5YP7YPbhzenWXdOyf2Y9PE/lgzqiuOrZqH5LgYwXpX9m1BTESoRlng/ZvY5f0DVo/ojD1zxuLlC3/B9z67+S8e/XsSunr6n31OYpHp6aB/bWssbl8es1uXQcuyRbL1Prm+jlbd8sWM8L9OFfBLx3cvE6mu1nu7VbMULJ/VuozGe1uULfx5JyWChIQETJ08AQ3q1IRL88bYsG5tlnXPnDqJjm1boV6t6hg2yB0BAS80tq9euQItmjREo7q1MMNjKpKS3j06s3b1ylqverWqIzLyJQDg6dMnGDbIHY3q1kKPzh1w4dzZL3G6X1RiQgJmekyGa+M66NS6ObZtXJdl3fNnT6F3l7Zo0bAWRn8/CEGBAYL1/tq1HbdvXlevEfvWTI/JaFa3uvo1cfQI9ba7t29imHtvtGpaF8MH9MF93/w3o5KQkIApk8ajXm1HtGzWCOv/WJNl3dOnTqL9d63gVLMahgzsrzUuV/3+G5o3aYAGTjXh6TEFSe890vVTx3n29Cnc+/aGU81q6NyhLS6cP5er5/mlJSYmYJ7Xz2jvXBc927fAzi3rs6x76/oVtG5UE+2d62ptS0tLxYql89HZtSG6tGqMNb8uQXpamnq7UqnEoJ4d4NqgOs6fPv7RNsXHxX20HfkZp56FiRIoFi5c+KMZwp07d0IulwMATExMMGrUKOjrix8Mndm0HDq6uhiwZBu6TVuGp9cv4N7Zf7TqPbl2HvfOHkbHCfMwcOk2mBS1wMn1S7TqvQp+jic3LqJ+1wHvygKf4fT6pWjUaxgGL98Fx9bdcPhXb61AM02pwMWda9Cs/4/Q0dUOfvK6Xo6WyMhQweOIP5ace4EaNiZo6FDok+/rWd0S5nLNKyasTA1w9NErjDnwSP2KV2hmcCpZGKGokT7OPHmtUS7X10Fahkrjvaf8NevkZbNmeEJPTw/HTp/Dpm07cfL4MezZvVOrnr/fY8z29sL0GbNwwecaXFq1wQ/Dh0KhUAAA/ty1E2dPn8Lm7btw9NQ5QCLBTK/p6vdfv3Nf4zXyx9Ho1KUrihUrjtjYGIwcNhjde/bGyXOXMHHKVMycMR2PHj74av2QGxbOmQFdPT3sPXIaqzZsw9nTx3HgL+0/Bp8+8cPiud6YNG0Gjp71QfOWrTDhx+Hqvnwr6tUrbNu0DmMnT9Pax/NnT7Bz/xGcvXIHZ6/cwaL/rQQABAUGwPPn8Rg28iccPHYOffoPxNQJP+FlRPiXOekvZOaM6dDT08eJM+exefsunDx+DH9mMS5neXvCy3sWLvlch2vrNhg5fIi6L3fv2oEzp09hy/ZdOH76PCQSCbzfG5cfO45SqcSoEUPR5rt2uORzHdO9vOHtOQ3+fo+/Tifkgl/mz4Sunh52HjyJ5Wu24MKZE/h735+CdR1r18XRizcFt21cswLBgS+wfudBrN95AAEvnmHjmhXq7QYGBli/6yBatmn/yTYtXzwbkflsPNJ/I9rNLB/Tpk2bPBEYvi8h+hWCH91Bs/4/QWpoBNOiFmg5ZCJu/LNLq66egRStRkxBIQsb6EtlqPVdD4Q+9tWqd37rCjToPhhSw3fZUr+rZ1GjVVfYlK8GPX0DlK7VEKVqNcTz2z4a773+907YVnKEVZlKuX+yX5iZTA9lixph5+1wpKRlIDo5DVtuhMKl3MezirVsTVHDxlSr3MpUioh4hcA7MunpSNC1mgV23g5Hhkpzm6WJFC/jlZ91HmJ7GRGB61evYJqnN0xMTGBtbYNZcxcIZm927dgG90GDUbuOE/T1DdC9Zy9UqlIVR/75GwCwbctGTJ8xEza2tjA2NsY0zxm4c+sWggIDtfaVnJyMXTu2YcCgoQCAQwf2o7lzC7i0ag2ZTIY6TvUwdPhIHNj3+ZdUfG2RLyNw68ZVTJjiCWNjE1haWWOa91xs3fiHVt29u3agT/9BcKxVB/r6+ujUrScqVKqCk0c1/2j8/X+L0bVnH1jb2GqUp6en42VEOCwsrbT3vXs7err1R+269SGVydDU2QWt23bE6RPHcveEv6CIiAhcu3oFHl7vxuXseQuxfq32uNyxfRsGDBqSOS4NDNCjZ29UrlIVh/85BADYunkjvLxnwda2BIyNjeHh6Y3bt24iKDDwk8c5deI4ypQph1593KBvYICatWpj2IhR2Lgh60xxXvLqZQRu37iKMZOmw8jYBBZW1pjkOQc7N+es/ampqTh84C9MnD4b5oWLoJB5YUz2nIMjh/YiOTkpR/s6ffwwzp8+kaP35CfMKAoTNVCMjIyEnZ3dR7OLQUFBcHV1/YqtEhbm/wAlKjlCT99AXVbY2g76MjliIkI06jpUr4uitiUBAAnRUbi0ex1KVKmlUeftlHH5es01ylVvbuj5UEpSgvr/x0SE4tG/J9Gg+6D/dE5iKVVEjscvE5H2XtQWEa+EIj0DxYyE/0Awk+mhc1ULnH2qne2zNJEiIiHrYK9F2SJ48ioZz18na22zMv34e/Oy27duol79BhoL0pcqXRqGhkZa03c3b9xAM+cWGmUtXV1x9cplvI6KQnJyMipVrqLepq+vj6bNm+PaVc0/UADgrz93oVHjJrC0ygx0zM0Lo01bzUyEpaUlXkdF/ddT/Gp879zKDM7e60uHkqUhlxtqTSvfuX0DjZo6a5Q1a+GKG9euvKtz6wb8Hj9En/4DtY4VGhKM4haWgr8crKxttfZd3MIS0a/zT1/evnVDcFzKDQ21xuWtG9fRvLnmuHRxaYWrPpcRleW4dMbVKz6fPM7NG9fR/IMx7+LaCld8Lufi2X459+/eRi2n+jB47/zsHUpBbihHcJDwpQ5Cnvo9gp1DKRQuUlRdZmpWCBUqVcWDHFzW8OplBFYvX4wuPdyy/R76NogWKMbHx0MulyM4OBhyuRxBQUF49eoVIiMjERgYiMjISMydOxe6urq4fv26WM18197XL2FW3FqrvJClLWIjwwTf8+zWZWwc7wY/n9Nw6vDuw6VMSca/f65DVEgA1ozqghN/LEaaMjMjVrpWQ9w6ugehfveQnqrE0xuXcP/cEdiUq6p+/4Udq5CqSMGWyQPx17zxiH0pfPy8ylyuj8hE7eDsZbwSRYwMBN4B9K1lhVN+UQiL084cWppIMaSuLea3LYtBTjYwNng3FV9IrgfXckVQsbgRFrQth85Vims8VtPSRIpatqaY37YcJjcviQrFjf7z+X0t4WGhKGFnp1Vu7+CAkOAgjbLIlxGwtS2hUebgUBLBwUEICwtFiRJC+ymJ4CDN/SiVSmzbshmDhgxXl7Vt3wHVa2iuc3r+3FmNX/B5XUR4GGxttfvAzt4BoSHBGmWvXr7UyhLaObyrl5GRgWUL5yA2JhrtWjTG5LGjEPvmmmwgc9o5NCQYHVs1RY+OrbFjywaoVJl/NPXo0w8l7Ow19v3vxXOoUKlybpzmVxEeFga7D84BeDPePhhPL19GwLbEB+OyZEkEBwcjPCxUeD8lM8ftp44TFh6m9fkwNy8MpUIJpTLv/3H4MiIM1h98ZgHA1s4BYR+Myc/aj33296NSqbBo9nT0cBsIh9Jls33sfIfPehYkSqC4adMmTJgwATKZDBKJBDKZDOXKlYOFhQUsLS1RsmRJHDhwAPPmzYOpqSlkMpkYzdSQrlRAX6rdDj19A6Rn8aVTyrE+Bi3bAaeOfXHoF08kJ2Q+cebuyQMwKWqBblOXou/cdVAkxsNn7yYAgGXpimjQYwhOb1iGjRP64fjq+bAuWxkWpcoDAMKePMDLF35o+6MX3BdvQYlKjji6cq76F01+oK+rA2W6duY0NV0FA13tT0zT0uaQQIIzAtlEPR0Jtt0Mw8IzzzHj2FOExyswpN67X+KtyxfFo8hELDzzHAvPPEepIoZoXMpcvf1+eAKWnnuBaYf9sO9eBNxqWsHSRDhYzWtSFArI3lzL+z6ZVAZFimZAnZGRoX6W+ltSWWY9RRb7kUplWtfd7d+7B3WcnGBja6tV/62rV3xw6cJ5dOneIyenIyqFQgGpTLsPDGRSKD5YVSBDJdCXUpm63qnjR6BUKLF0xVr8+fdxFClaDIvmzFDXtbS0xvLVG/DnoRNY9L/fcebkcRza/5dguw4f2o/XUa/QuFkLwe15UUpKiuB3tlQm1RpPguNSKoMiJSVzXArsR/Zm+6eOo0hJgUzg31QqkyIlJe+vFJE5JgXOTyqDUpH1pTZC+xHsJ6kUymyumLFv9zZkZGSgS6++2T4ufTtECRT9/PzUaym+/ZJwcHBAeno6nJycsH79ehgZGaFIkSKQSqXQ08t6uUeFQoG4uDiNV6oy+x+i7NI1kCItVTsgTEmIh55B1s+iNjQzR8023WFftQ78Lp8GAPhfPYcWA8bCtJglDM3M0WLweDy8dFwd7JWv1xx9561D25+8oaOri6b9flDvz//qOTh1cIN1uSowkMnh1DHzg/vyuV9unu4XlZqeAX0d7aFnZKALZbpmwGthYgCXskWw9UaoVn0ASMtQ4W5YPJJTM5CSloHDD1/BQFcHVqaZ/yZVrUyw9UYoEpTpiEpKxfabYWhU8l2g+DgyEVFJqUhXAX6RSTjpF4X69oVy72S/IJlU+xcvAMTExmj9YtDR0dH6YyI2JrNe5i8M7f3EfrCf1NRUbN64HoOHDteq+1ZoSDCm/TwRs+bOh4mJSU5PSTRSqRRKge+NuNhY7b6UCPTle311+vhR/DhuEsqULQ8TE1OMnTQN93zv4HXUKwBAuQoVUb5CJRgYGMDeoRQmecwQvGnm4X1frPp1KbzmLPzod2BeI5Np/4EBvBtv7xMalzGxMZDJ5ZBmNb5joiGTyz95HKlMluW/qTwPJB8+JfNzqf07Jy42RjCA/Lz9aAfSHwp48Qy7tm7AJM/Zef5aOvoyRAkUq1Wrpv6AGxhkZm/ev85EIpHAwMAAJiYm0NPT++iX5Lx582BmZqbxOrFlZa632aRwccRFat/pFfcqHKbF3l2UrsrIQPjTR1r1ipYoicSYzIxYfFQEzK3fTYnIjU0hlRsjJT5WXZaRkY6zW35FnY59UcjCRl0e+zIUhW0ctPYdHxXx2ef2tUUnp6KIwLWIRYz08eq9KWkdCeBW0xpGUj14upbG0g7l0dvRCg1LmmN8U4cs9/8qUQlzuR6MDXShTM9Acuq77GVYvAKF5FmPp1dJqSgkz1s3UmXF0spaa1oUyAzWbD6YzitW3AJhYZrBdkhwMGxtS8DKyhohAvsJCQ6GzXtTVn8fPICq1arD3qGkYHvi4+Px48jvMXT4SNR20l6iIy+zsLRCWGiIVnlYSAisbTT7smjx4ogID/ugXjCs3kxHBwcHolSZd9Nz+vr6sHcoqfWet6xtSiDypeZ3S0R4GKZNHIPJ02fCoWTpzzonsVhaWSEkRLsvQ0KCtS5/KJ7FuLSxtYVlVuPyzX4+dRwrSyuEBH9w2UBkJEzNzKBvkPdnDYpbWCE8TPv8wkNDYGWddUY/N/eTnpaGxbOnIy4mGu7d2+G7prWxbJ43/t7/J34c3CfbbcgveDOLMFECxVKlSuH58+c4f/48gMy1FJOSknD+/HnExcXh0aNH8Pf3R0pKCi5cuKA1NfG+KVOmIDY2VuPl0m9ElvU/l1XZSgh+eBsZ7y2cGxX8AulpqShk8e7aRYmODk6sXah1g8vLF34o/CY4NDQ1R3Tou7tJUxLjoUxJgszk3WLQd08egI6uLmq4dtbYj7F5UbwOeaFRFhXyAiZFLf/zOX4tz6KSUa6YEXTe+2xYmUihpyPBq8RUdVmGClh67gXGHniEcQcfY9zBx9hxKwyXnkdjybkX0JUAoxqWgP57O9LTkcDeXI6XCUokKtNhqK8Luf678WNpYoDo5MxjtCpfFFUsNdfnLF0k8735QQ3Hmrjq44O099ZDe+LvB6VSqXXtlmPNmvj34gWNspMnjqFu/fooXKQI9PX18eL5M/W2tLQ0nDtzGnXr1QeQeafuxvVrMWTY94JtSUtLw8Sxo1G/QUP06NU7t07xq6la3RE3rmr25bMn/khNVcL2g+s3q9WoiSv/XtQoO3vqBGo7ZfZVseIWePbk3dqnaWmpCAoMgKW1DS5dOIsNa37XeK/v7ZsoYeeg/jkpMRGTxoxE734D0LBxs9w5wa+ohmMtXPW5rNGX/m/Hpf2H47IWLn04Lo8fQ716DVAki3F59vRpONWr98njCO37xJt95weVq9XAretXNNY7fP40c0zaCFxTnJXS5Sog4PlTxMfFqcviYmPx6IEvKlWr/tH36urp4dc/tuHIhZs4fO46Dp+7jrFTvNCuU3f8um57zk+K8iVRAkULCwvcunUL48ePh1KpxPjx4xESEoLx48cjMDAQO3fuxPr16xEWFobx48d/NFCUSqUwNTXVeOl/ZCr4cxmbF4VVmUq4sHM1lCnJiH8didObfkGddpm/FI+tng//q5mBbw3Xzji9YRliX4YhVZGCe2f+QcSzxyjr1AQAUNW5PU5tXIa4yHAkxUbj1LolqNz0O/VfFQnRr3D9751oMXAcdHQ010is0qwtrh3agVC/e1CmJOPawW3Q1dNHcYf8c4FxbEoanr9OQpeqFjDQlaCQXA+9a1ri6OPMqTn32tZwtPn0tGW6CkhOzUD3GpaQ6+vAVKaHvrWsEBCdjFeJqVABuBIYg761rGFsoIsihvroU9MK555m3mUfHJOCrtUsYGMmhb6uBHXtzFDPvhAuPM8fTwEqbmGBajUcsXjhPCQlJSI8LAwzZ0zHkGGZfyhNmTQex48eAQD06tMXf6xeBd+7d5Camor9e/+Cv99jtP6uHQDArd8AzPSajojwcCQmJmDB3NmoW6+++lrEo4f/QZmy5VC6jPA4mzvLGzK5DOMmTv4KZ577ihW3QJVqNfDr0oVISkpCRHgYFs6Zgf6DhgEAvKdNwukTRwEAXXv2web1q3H/3l2kpaXinwN78fSJH1q2+g4A0LlbLyxfugBP/B8jPj4Ovyycixo1a8PcvDDKV6iEfXt24uypE1Aqlbhz6wYWzfVGH/fMFQzS09PhOWU8ajjWRvfe/cTpjP/IwsIC1R0dsWjBPCQlvhmXXtMxdHjmuPx54ngcO3oYANDbrS/Wrl6Ju2/G5b69e+Dn9xht2maOy779B2CGp4d6XM6fOwt169eHrW2JTx6nhYsr7t27i0MH9iM1NRV3bt/CxvV/wH3QYHE6JoeKFrdA5ao1sPJ/i5CclISXEeFYNt8bfQZkjsm5npNx7uSnl03S19dHq3adsGz+DMTFxiA2JhpL5nqiY9fegtdwFmTMKAoT5cKXwoULw87ODteuXYOxsTGuXbuGGjVq4Nq1a6hfvz5GjBgBc3NzTJs2DdeuXUPp0nlj6qVZ/59wbutv2DC2N/RlctRw7YJKTVoDAGLCQ5AUmzm1XKV5OyhTkrF/0WQkx8fCpnw1tB8zC7pvltap1rIjlClJ+Gv+BKgyMlCxkQvqdnr3SyFNqUCDboNQxNZBqw3F7Mugef8fcWbTciTFvkaJSo74btT0PD/QPrTzVjh61LDE3O/KISUtA2eeRMEnIHPqvbixAUxl2RuaO26FoWs1C3i5loEEwJ2weOy9+24a7+D9SHSoXBxTW5aCMi0D555G498XMQCA+xEJMPPTw2AnWxSS6yE4NgVrfYIRl5ImfLA8yMPLG/Nme6Nl08YwMjJC3/4D0LlrNwBAwIsXeBUZCQAoW648Jk/1gMeUSYgID0e16jXw68o16ks/uvfshdevo9C7RxcoFQq0dG2NaZ4z1Md59vSJ+hfwhzau/wP7/voTOjo6cHJ8d3e+tbUNDh75+FMe8pKJ07ywdP5sdGrVFHJDI/R06492nboCAIICXyDqVWZfli5TDqMnTsVszyl4GRGOKlWrY9H/Vqr7snEzZ0RHv8bUCaORlJiIps1bYuI0LwBA0WLFMXvhL/ht6ULM8vwZxYtbYODQEerM4S+L5uLKvxehq6uLA3vfXbdYvWZt/G9l/lj/DwCme83E3Fkz4Ny0EYyMjNDPfQC6dO0OAAgIeK4xLn+eOh3Tfp6EiPAwVKteAyveG5c9evbG66go9OzeGUqFAi6tWsPD0ztbx5FKpVj+2yrMnDEdM2dMh61tCXjOmIkyWfyxkxeNmTwdyxfNQY92zWFoaISuvfqhTYcuAIDgoABERUVmaz/uQ0dh9fLF6N+tLXQkErRu3xn9huT+zBt9myQqEW6XTU9PR4kSJRAaGgq5XI7k5GRUrVoVvr6+6kDRzMwM48ePh7+/v3qqOrt+vZT9uvRxfi/z/t2B+cWCdhXEbsI3ISEfBfJ5nWk+uR43P3gpsHQX5Zxd4dyfEcyu0uOPiHbsp0vaiHbsTxFl6llXVxfJyclQqVRITc28Xuz169fw9PREcHAw9u7di+TkZERHR0OhUGhcg0JERESU2yQS8V55mShTz6mpqcjIyEBKSgpUKhXS09MxYMAASCQSDBo0CCkpKbCysoKenh4SEhIEl0AgIiIioi9LlEBRpVJhz549SExMhEqlQmJiIubMmaNVLyIiAgEBAUhMTBShlURERFRQ5Ldr/b8WUaaeDQwM4OzsjJcvX2LVqlUaayh+qGjRoti3b99XbB0RERERASJlFAEgNDQUVatWRXh4uFagOGTIEFStWhWjR4+GkZERXF1dRWolERERFQRMKAoTJaMIAEZGRlCpVDA0NNQo//7777Fly5Z89fgvIiIiom+RaBlFqVSqflTfWz/99BP27NmDkydPonHjxmI1jYiIiIggYqCor5+5ftfb5zjv3bsXGzZswKlTp+Dk5CRWs4iIiKgA4s0swkSbetbV1YVKpcK2bdsAAB07dsTJkycZJBIRERHlEaJlFN8aPXo0li5diipVqgAAVqxYobE9LS0NMTExOHz4sBjNIyIiogKACUVhomUUgcw07+PHj+Hk5IRt27bBx8cHqampGi+lUgmlUilmM4mIiIgKJNEyim8fMV20aFGsWrUKjRo1wqhRozBkyBC0aNFCrGYRERER0RuiBYpvn9+cnp4OXV1d9O3bF6ampujcuTNOnDiBunXritU0IiIiKmB0dDj3LES0qefU1FQA7wJGAOjQoQN++OEHdO/eHdHR0WI1jYiIiIggYqCYkpICAFAoFBrls2bNglwuh7u7uxjNIiIiogJIIhHvlZeJFigqlUpUqlRJnVl8S1dXF56enjA1NUVGRoZIrSMiIiIi0a5RtLGxga+vr+C2Pn36oEePHtDREfWmbCIiIioguOC2sDwZiUkkEvWTW4iIiIhIHHkyUCQiIiIi8Yn+ZBYiIiIisXHmWRgzikREREQkiBlFIiIiKvB4M4swZhSJiIiISBADRSIiIiISxKlnIiIiKvA49SyMGUUiIiIiEsSMIhERERV4TCgKY0aRiIiIiAQxo0hEREQFHq9RFMaMIhEREREJYqBIRERERII49UxEREQFHmeehTGjSERERESCmFEkIiKiAo83swhjRpGIiIiIBDFQJCIiIiJBnHomIiKiAo8zz8KYUSQiIiIiQcwoEhERUYHHm1mEMaNIRERERIKYUSQiIqICjwlFYcwoEhEREZEgBopEREREJIhTz0RERFTg8WYWYcwoEhEREZEgZhSJiIiowGNCUdg3GSgOrVtS7CYQaTGv84PYTfgmRF/7TewmEGnR1WGUQXnbqlWr0LlzZ1hYWOTofZx6JiIiIson4uLi4ObmBmNjY1hbW2PBggWffM/Nmzcxe/ZsyGSyHB/vm8woEhEREeVEfrmZZdiwYZDJZAgJCUFMTAy6deuGQoUKYfjw4YL1VSoVRo4cicWLF8PMzCzHx2OgSERERJQPhISE4MyZMwgICIBMJoOZmRk2b96MNm3aZBkorl+/HmZmZujVq9dnHZOBIhERERV4+SGheOnSJbi4uGhMIVesWBHGxsbw9/dH2bJlNepHR0djxowZOHPmzGcfk9coEhEREYlIoVAgLi5O46VQKLTqBQYGokyZMlrl5cuXx7Nnz7TKp0+fjtjYWNSrVw81atTAjRs3ctw2BopERERU4EkkEtFe8+bNg5mZmcZr3rx5Wm1MTk6GoaGhVrlcLkdycrJGWUBAALZu3YotW7YgICAAo0aNQufOnbXqfQoDRSIiIiIRTZkyBbGxsRqvKVOmaNWTy+VISUnRKo+KitIKIPfu3Ythw4ahY8eOMDIywtChQ+Hk5IRDhw7lqG28RpGIiIhIRFKpFFKp9JP17OzscOTIEa3y58+fo1SpUhplT548Qd26dTXKqlWrhoCAgBy1jRlFIiIiKvAkEvFe2dWwYUOcOnUKaWlp6rJ79+5BoVBoXbtoa2uLe/fuaZT5+vqiZMmcPZSEgSIRERFRPmBjY4MGDRpg7NixSEhIQFBQEIYOHQoPDw8AQJ8+fbB7924AQP/+/bFp0yYcPHgQSUlJWLduHW7fvo127drl6JgMFImIiKjAE/NmlpxYvXo1Xr9+DUtLSzg5OaFLly4YPHgwAMDPzw9hYWEAMoPK/fv3Y+bMmbCyssLu3btx/PjxHD+dhdcoEhEREeUTZmZm2LZtm+C269eva/xcv359rbKcYkaRiIiIiAQxo0hEREQFXn551vPXxowiEREREQliRpGIiIgKPCYUhTGjSERERESCGCgSERERkSBOPRMREVGBx5tZhDGjSERERESCmFEkIiKiAo8JRWHMKBIRERGRIGYUiYiIqMDjNYrCmFEkIiIiIkEMFImIiIhIEKeeiYiIqMDjzLMwZhSJiIiISFCeySgePnwYhoaG0NHRjl0lEgksLS1RtmxZEVpGRERE3zodphQFiR4oBgYGws7ODoMHD0adOnWgUqlw7tw5NG3aFDdu3ECVKlVgYGCACxcuwNfXF3Z2dmI3mYiIiKhAED1QrF+/PhYsWABDQ0McPHgQAFCpUiUcOnQInTt3xooVK2BtbY0xY8YgKSlJ5NYSERERFRyiB4pyuRwHDhxAQEAAZs6cCQB49eoVZs6cicePH2Pp0qUwNTWFoaEhKlSoIHJriYiI6FvEmWdhogWK169fx6FDhyCVSvHnn3/C3t4eurq6ADKvSdTV1VX/V0dHBwqFQqymEhERERVIogWKqampOH78OAICAhAcHAyJRIJBgwYhIyMDmzZtwsCBA3Hp0iX88MMPKFGihFjNJCIiogKAT2YRJlqgWL9+fVy+fBnLli1D69atoaenh3r16qnveq5fvz5ev36N8uXLo0WLFpg5cyYcHR3Fai4RERFRgSPqNYqRkZF49OgRfv/9dzRp0kSwTkBAADZv3gxnZ2ccP34cderU+cqtJCIiom+dDhOKgkQNFHV0dHDw4EGsXr0aAFC3bl1ERERorKWoUCjQunVr7NmzBw4ODiK1lIiIiKjgETVQlEqlUCgUOHjwIJo3bw4dHR306tULP/74IwBApVLByckJS5YsQaFChcRsKhEREVGBI2qgmJGRAaVSid9//x3Dhw9HfHw8JBKJxnqJ8fHx8PT0BAAsX75crKYSERHRN4w3swgT9VnPiYmJkEqlOHr0KIKDg7Fv3z4UK1YMv/32G54/f47q1avjl19+QenSpZlRJCIiIvrKRM0ompub49ChQwAAXV1duLi4wMXFBWfOnMHWrVvRu3dvGBoaitlEIiIiKgCYUBQmaqAok8nQoEEDrfLmzZujefPmIrSIiIiIiN4Sdeo5O16+fImaNWvi8ePHYjeFiIiIqEARNVC8ffs2TE1NERoaCgCIjY3FpEmT8OrVK3UduVyO27dv8yJTIiIi+mIkIv4vLxM1UDQ0NERCQgKMjIwAAAYGBliyZInGXc8ymUy9jYiIiIi+HlEDRZlMBolEArlcDiAze6hSqaCn9+7Sybf/X1dXV5Q2vi8hIQFTJo1HvdqOaNmsEdb/sSbLuqdPnUT771rBqWY1DBnYHwEBLzS2r/r9NzRv0gANnGrC02MKkhITs32cZ0+fwr1vbzjVrIbOHdriwvlzuXqeXwP7MneYGMmwYY47Ii8twbPjczB+QMss6/7QpxnuH/RC6LmF2LZwEIqZG2tsXzuzHxKuL8eyyd0/edxZP3XQ+Hlk76Z4fHgmws4vxOb5A1H0g33nBxyTuYd9mTsSExIwx3MyvmvmhO5tnbFj87os6148dwr9u7VD6ya1MW7kYAQHBqi3ZWRkYOPa39GjXQt0cm2MxXNnIPm9hAwArFu5HC3rV0fLBjXQskENDOrdGQBw5+Y1dZn6Vb86hvbtBpVK9WVOXCQ6EvFeeZmogaK+vr7Gf4HMdYzen2Z++//ff1qLWGbOmA49PX2cOHMem7fvwsnjx/Dn7p1a9fz9HmOWtye8vGfhks91uLZug5HDh0ChUAAAdu/agTOnT2HL9l04fvo8JBIJvL2mZ+s4SqUSo0YMRZvv2uGSz3VM9/KGt+c0+Pvlr2s42Ze5Y8X03khNS0fpVtPQzH0xOrd0xOCuDbXqDe3eCF1da6L9qBUo29oDD5+FY9uiwZp1PLfge+9tnzzm4K4N0aZxFfXPXVo6Yki3Rvju+19RynUaXoREYY133/9+cl8Zx2TuYV/mjqXzvKGnp4fdf5/Cr39sxfnTJ3Bo726tes+e+GHZvJkYP9ULh05dRrOWrTB5zPdQvunHP7dvhv/jh/h9ww7sPHgcFhaWWL54rsY+Xjx7giUr/sDJf2/j5L+3sX7HPgBA9Zp11GVvX7Wc6qPvwGG8JKyAEDX60tHRgUqlQosWLeDs7AxnZ2eoVCp069ZN/bOzs3OeGIwRERG4dvUKPLy8YWJiAmtrG8yetxDr12r/pbxj+zYMGDQEtes4Qd/AAD169kblKlVx+J/MpYC2bt4IL+9ZsLUtAWNjY3h4euP2rZsICgz85HFOnTiOMmXKoVcfN+gbGKBmrdoYNmIUNm7I+i/NvIZ9mTusi5mhSe2y+HHOTsQlpCAwLBqDp2/GxEGuWnXd2tXF6Lm78CzoFRKTlZi96jDMTOQoaVs0R8csVaIo5ozupFGWlKJEv8kb8DQwEskpqViy4QQa1yr7X07tq+OYzD3sy9wR+TICt29cxdjJnjA2NoGllTV+9pqL7QJZxf1/7kDPfoNQvWYd6Ovro0OXHqhQsQpOHTsMIDMr2LWnG4oWKw6ZTI5e/Qfj8oWzGvt48ewpStiX/GS7Hj24h5cR4Wji7JIbp5mnvE1UifHKy8RP0yHzGc9vX5MnT0aTJk3UPzs5OQEQf8X027duoF79BpBKpeqyUqVLQ25oqDVVcuvGdTRv3kKjzMWlFa76XEZUVBSSk5NRqfK7jIy+vj6aNnfG1Ss+nzzOzRvX0dz5g327tsIVn8u5eLZfFvsyd9SvUQqnfR5BoUxTlz1+HoGEJAVK2xXTqKubxdyGuWn21ynV0ZFg/Wx3rNypOX139OJ93H+SeUOaVTEzzBnTCScvP8z2fvMCjsncw77MHffv3kKtuvVh8N752ZcsBbncUGNaGQB8b99EwyaaS8o1cXbBzes+AID6jZpi6/o1CA8LRVJiIv74/ReYFjJX11UqFIiPj0PhIp/+w3Hr+tXoO3Co6L+T6esRdR1FlUoFiUSCefPmfbTewoULRb8WIjwsDHZ29lrlDg4lERwUBHt7B3XZy5cRsC1RQrNeyZIIDg5GeFio8H5KlkRwcBAKFSr00eOEhYfBtXUbjW3m5oWhVCihVCrzxU0/7MvcUcKyMJ4GvdIq9w94iZI2RfE0MFJdtu/kbSyd3B1DvbbiZVQcxvRviRKWhXHPPzTbx5s0uBVevo7Hhn3/on3zalrb2zWrij+XDUdSshJN3Rd/3kmJhGMy97Avc0dEeDisbe20ykvYOSAsNBi27537q8iXsLKx1axn74CwkGAAQLvO3fHvhbPo06kVAMDYxAQzF/xPXTcw4DlSUpLRs31LqFQqtGzdFoO+/xF6evoa+3zq/xiBAS/QrGXr3DpNygdEDRTT0jIzIenp6dDV1cXly5dhY2OjVU8ikWQZKCoUCvX1LG+pdKUaf2XmhpSUFPUd2O+TyqRax8/IyNC6plIqlUGRkgKFQiG4H9mb7Z86jiIlBTKZXHB7SkpKnv/yA9iXuUUm00dyilKrPDlFCblU8wv+f1tPo5CpIU6tH4uMjAzYWJjD67dDUKamab1fiGPFEhjcpSHq91kAQ5lwv/x91hf2LabArZ0T9v86Ak495+N1bKJg3byGYzL3sC9zh1LxsfNL0SjLUGXRj2/6e81vy5Ceno6tew/D1NQMhw/uQ9Srl+q6Mpkci39di7LlKyI2Nga/LJiFTWtXYvCInzT2uXXDGvRxH5wnbi79EpgkFSbq1PPbQaxQKBAdHY2GDRuiZMmScHBwgIODg/r/A5nBpJB58+bBzMxM47VowcczlJ9DJpNpfckBQGxMjNaH+e21l++LiY2BTC6HVKr9ZQkAMTHRkMnlnzyOVCaDUqm9PS42FnKBL5W8iH2ZO1JSUiGVav+tV7iQEZI+CCDT0zPg+etBlHKdht93nMODp2FYtulkto4jk+pj3ez++GnuLryKTvho3Zev47Fs8ykcvfgAvb+rk/2TERnHZO5hX+YOA6lMfTPK++JiYyCVagbAOhLtfoyLjYFUJkNM9Gsc/+cAvOYugbVNCRibmKKHmztOHT+Cp29u7LG1s0eV6o6QymQobmGJKTPm4p8Df2nsL+D5M/g/fgiX1u1y+UwprxM1UExISIBKpUJCQgJMTEzw5MkTBAYGIigoCEFBQQgMDMSzZ88AvMs+fmjKlCmIjY3VeE2cPCXX22ppZYWQkBCt8pCQYNjaak6dFC9ugbAwzSm9kOBg2NjawtLKGiFvpgOE9vOp41hZWiEkWPP9ryIjYWpmBv08/hfyW+zL3BEU/hoO1trXFDlYF8HzEO0paQAoYWmOSYNb4fsZW5GaJvzH14e8f2iPMiWKY/uiwYj2WYa7+6ejYilLRPssg6mxDHWqaE//+fqFwLKYac5OSEQck7mHfZk7LCwtERaqfX5hoSGw/mCauWix4ogIDxOsFxYSDPuSpWFkrLlkVfmKlXHjmo/gsU1MzaBSqaBIeZe53LZxLXr1HQhdPVEnIr8oHYlEtFdeJmqgWKZMGVy+fBnm5ubQ09NDqVKlYGNjo/EyMTGBSqVCcnKy4D6kUilMTU01Xrk97QwANRxr4arPZY2A1d/fD0qlEnb2mr8oHWvWwqWLFzTKTh4/hnr1GqBIkSLQ19fHi+fP1NvS0tJw9vRpONWr98njCO37xJt95xfsy9xx+fYzNHcqB13ddx/jSqWtIDXQwzOBaxcBYMnk7ti4/19cuxcguF3I5CV7Yeo0Gub1xsK83lhU6zQLD5+Fw7zeWMQlpGD9HHetm2dqVbbDw2fhn3diIuCYzD3sy9xRuZojbl2/gvT3zu/5U3+kKlNhU0Lz2sUq1R1x7fJFjbLzp0+gZp16sLS2QWhIkMZ+AMD/0QMULlIEfg/vY9n8mRrbAl88g4GBAaRvMq8hwUG4d+cWWrXrlItnSPmFqIGikZER6tatq7GO4odMTU3h6+uLsmXFXW7DwsIC1R0dsWjBPCQlJiI8LAwzvaZj6PARAICfJ47HsaOZSxH0duuLtatX4u7dO0hNTcW+vXvg5/cYbdpmpuz79h+AGZ4eiAgPR2JiAubPnYW69evD1rbEJ4/TwsUV9+7dxaED+5Gamoo7t29h4/o/4D5osHDD8yD2Ze4IjYyFz93nWDShK4zkBrC1KITfPftg/h/HAAAb5w5AVxdHdf22TauiUikreP/+d66249etZ7DKyw0ONkVgKDPAkG6NUKeKA/Ycu5mrx/mSOCZzD/sydxQrboHKVWtgxS8LkZyUhJcR4Vgydwb6DhoGAJg9fRLOnjwKAOjcow+2bliDh/fuIi0tFUcO7sOzJ35wdv0O5oWLoJpjbSyZ543XUa+QmJCAnVvW44n/Y9Rv1Az2JUvjqs8lHNizE0qFAk/9HmPmtIno1X+Qui07Nv2Bbn36ffR3NX278sTyOB+jr6+PypUrf5EsYU5N95qJuNgYODdtBLde3dGipQu6dM18ikVAwHO8isy8y7RsufL4eep0TPt5EhrWrYV/Dh3EipVr1BdP9+jZG/XqN0DP7p3h0rwJUlNT4eHpna3jSKVSLP9tFfb8uQsNnGpixvRp8JwxE2XK5K9169iXueOH2TtgbmqIFyfn4fyWiThw6jY27c9c/qOMfXFYFjVT101Pz8DwGVuRnJKaq21Y8+cFHL1wD8fWjkbQ6flo27QqOv24Mts3yuQVHJO5h32ZO8ZO8UR8XCy6ftcMIwf2RqNmLfFdhy4AgODAAES9ypw5KFWmHH6cMAXzZkxFO+f6OHH0b8xb9ru6H8dOng4dXV0M6NkBbp1bw/fOLSxZsQ5GxsaQymSYu3QFzp06jk6ujTF1/Cg4u7ZBp269AWTecBQfF4d2HbuJ0wlfkUQi3isvk6hEXnemcOHCeP36tUZZt27d8NNPP6FJkyaftc+U/PX7iQoI8zo/iN2Eb0L0td/EbgKRlqgE7RUIKOdsCol3/WjX9TdEO/Zfg2qJduxPET2jWKhQIahUKgQGBgIAkpOTcfjwYaSm5m7Wg4iIiCgrfDKLMFFvX4qPj0dSUhLs7e1RuXJlHDlyBDt37oSNjQ1q1qyJjh07QldXFyqVCoUKFcKGDRvEbC4RERFRgSJaRjEiIgKOjpkX2h89ehRHjhxBdHQ0PD09MXjwYEgkEly8eBEdO3bElStX0LFjR7GaSkRERN84XqMoTLRA0cjICOPHj4eBgQF27tyJ+Ph4dOvWDQMGDMDu3bsRFRUFIyMjuLu7w8zMDJ06dRKrqUREREQFkmiBorGxMUaMGIHt27fD398fJUuWRLt27TBr1iyoVKo8cZczERERUUEm+hLrAwcOxN9//43Hjx/Dx8cHKpUqX1zcSURERN+OvP6EFLGIftezTCZDeHg4Fi1ahLi4OEyZkvn4PaWSSw0QERERiUnUQPH48eMAgBEjRuDRo0f4888/sWfPHtSpUwdGRkZITk7GwYMHkZCQgEOHDonZVCIiIvqGSUR85WWiLbidlJQECwsLpKSkIDIyEoUKFQIA/PPPP/j+++/x77//onfv3tDX10d6ejqSkpJw/fr1bO2bC25TXsQFt3MHF9ymvIgLbucOMRfc7rXplmjH3unu+OlKIhHtGkVDQ0P4+flh/PjxqFmzJg4cOICqVauibdu2qFChAn7//XdcvHjx0zsiIiIioi9C1KlnKysrbN++HRMnTsTw4cPV5ePHj8e6deuQnp4uYuuIiIiooOCTWYSJfjMLkHmN4t9//63+uXXr1jhy5Ah0dXVFbBURERFRwZbjqefg4GCEh4ejdu3aAIAHDx5gzZo1sLe3x6hRo2BgkP3rCxISEnDmzBmYmJhAR0c7Zj1//jwAIDU1FampqWjdunVOm0tERET0STp5O7EnmhwHigMHDkSfPn1Qu3ZtBAcHo2PHjpgwYQJOnTqF69evY9u2bdneV0JCAjp27IgiRYp8tN7r169Rrlw5BopEREREX1GOA8XLly+rl6oZO3YsZsyYATc3N7i5ucHa2jpH+5LL5QCAgIAAGBoaCtZJSUmBoaEhHj58mNOmEhEREWVLXr9WUCw5DhRdXV3x008/wcjICPHx8XBzcwMAXL16FaVKlcrZwfX01P8wCQkJ2LFjh/rRfSkpKejfv3++uNCTiIiI6FuU45tZtm/fjlq1aqFy5crYv3+/uvz+/fvYtGlTjvalq6uLt8s4qlQqfP/99/Dx8cHly5fx448/5rRpRERERJSLRFtwGwAUCgXkcjkSEhIgk8kglUqRmpoKADAxMUF8fDwUCgUMDQ1ztFQOF9ymvIgLbucOLrhNeREX3M4dYi643W/bHdGOvcWtumjH/pRsTT1XrVo129O/d+/e/ayG6OjoaBxDIpFAxBiWiIiIqMDLVqD4/hqHuen9QDAlJQXp6eno06cPVCoVFAoFkpOTuZYiERERfXG8H0JYtgJFe3t7rbKoqCjcuXMHzs7On33w9PR09T+MSqXCb7/9pr77uXnz5oJrKxIRERHR1/FZz3qePHkyduzYgcjISCQnJ2PkyJEoVqwYvL29c7SftLTMiwmDgoIgl8vRtm1bje0vX76EQqFQ1ylRosTnNJeIiIiIPkOOA8WlS5fC19cXT548gZmZGQBg4cKFaNu2LX777Tf88EP2L9hPTEyESqVCpUqVPnk9ooODA5/9TERERF8En8wiLMdzuytXrsTixYthYGCgnjY2NjbG8uXLsXz58hztq3jx4nj16hWSk5PVj+kTeiUmJiIwMDCnTSUiIiKi/yDHGcWgoCCUL19eq7xSpUoICgrK2cH19FC4cOFP1pPL5bCxscnRvomIiIiyizezCMtxRrF06dJ49OgRAM27lu/cuZPjJ7MQERERUd6V40BxypQpGDFiBF6/fq2OvoOCgjB8+HD8/PPPud5AIiIioi9NIuIrL8vx1HPfvn2RlJSEGjVqQKFQoEGDBggICMD06dPRr1+/L9FGIiIiIhLBZy2PM2zYMAwYMAC+vr4AgCpVqkAqleZqw4iIiIhIXJ8VKAJAcnIyXr9+DSDzmc0MFImIiCi/0uHNLII+69EnixYtQtmyZbFs2TIsXboUZcuWxS+//JLLTSMiIiIiMeU4o7h27Vps3rwZ169fh52dHQDg+fPnaNu2LczNzeHu7p7rjSQiIiL6kphQFJbjjOKSJUuwevVqdZAIACVLlsTq1asxf/78XG0cEREREYknx4FiQEAAateurVVep04dvHjxIjfaRERERER5QI4DxYoVK8Lf31+r/NGjR6hYsWKuNIqIiIjoa5JIJKK98rIcB4ozZ87E2LFjkZKSoi6LjY3F6NGjOfVMRERE9A3J1s0sP/74o0bEGxAQgAoVKsDV1RVpaWk4cuQIihcvjr///huurq5frLFEREREX0IeT+yJJluB4ofXJNaqVUvj56ZNm+Zei4iIiIgoT8hWoMglb4iIiIgKnhyvo7h58+aPbu/fv/9nN4aIiIhIDHwyi7AcB4q+vr44fPgwEhIS0LZtWwDA4cOHYWpqitatW+d6A4mIiIhIHDkOFOvUqYObN2/i4MGDMDIyAgAkJCSgU6dOvFaRiIiI8iUmFIXleHmcWbNmYfny5eogEQCMjY2xbNkyTJs2LVcbR0RERETiyXFG8cmTJyhTpoxWedmyZeHn55crjSIiIiL6mvL6wtdiyXFGsUyZMrh06ZJW+cWLFwUDSCIiIiLKn3IcKHp4eGDYsGF4+PChuuzBgwcYPnw4vLy8crVxRERERCSeHE899+zZEwkJCWjevDns7e2RkZGBkJAQzJs3D127dv0SbcyxF5FJYjfhm1HM1EDsJnwzoq7+KnYTvgkW/baI3YRvRsSWfmI34ZthJtcXuwn0H+U4c1ZA5DhQBIDBgwejX79+8PX1hUQiQdWqVaGvzw8JERER0bckW4Hi69evBctLliwJAIiPj1eXFS5cOBeaRURERPT18GYWYdkKFGvVqgWJRAKVSvXRehKJBM+ePcuVhhERERGRuLIVKD5//vxLt4OIiIiI8pjPukaRiIiI6Fuiw5lnQbzJh4iIiIgEMaNIREREBR4zisL+U0YxLS0tt9pBRERERHnMZwWK//zzD2rUqAFjY2MAwOLFi3HixIlcbRgRERHR1yKRSER75WU5DhSPHj2K8ePHY8uWLeqTa9GiBYYNG4ZTp07legOJiIiISBw5DhS9vLzw+++/o2rVqupA0dHREStXrsS0adNyvYFEREREJI4cB4q+vr5o3LixVrmzszN8fX1zpVFEREREX5OORLxXXpbjQLFw4cKIiorSKg8LC4O5uXmuNIqIiIiIxJfjQNHd3R0zZ87UKFOpVJg6dSr69++faw0jIiIi+lokEvFeeVmOA0Vvb2/Exsaifv36SE1NxdSpU1GjRg1kZGRoBZBERERElH/leMFtPT09bNu2DdevX8e5c+cAAGvWrEHdunVzvXFEREREJJ7PfjJL7dq1Ubt27dxsCxEREZEodPL6HLBIchwotm/f/qOLQx48ePA/NYiIiIiI8oYcB4oTJkxQ//+MjAzExcVh79698PX1xaJFi3K1cURERERfw396pvE3LMeBYtOmTbXKOnbsiPnz5+PkyZNo0aJFrjSMiIiIiMSVawH0mDFjsG7dutzaHREREdFXw+VxhOVaoBgUFASVSpVbuyMiIiIikeV46vnmzZsaP6empuLZs2eYP38+Ro8enWsNIyIiIiJx5ThQHD9+vMbPUqkUlpaW8PDwQPfu3XOtYURERERfC5fHEZbjQPHw4cOQy+Vfoi1ERERElIfk+BrF0qVLIy0t7Uu0hYiIiEgUvJlFWI4DxRYtWmDx4sVIT0//Eu0hIiIiojwix1PP0dHRmDVrFhYtWoRKlSrB1NQUurq66u18MgsRERHRtyHHgeLEiRMxceLEL9EWIiIiIlHo5PEpYLFkK1B0cXHBiRMnAAg/mYWIiIiIvj3ZChTPnTv3pdtBREREJBoujyMsW4FiRkYGli5dmq0djhs37j81iIiIiIjyhmzd9axSqZCQkID4+PhPvoiIiIjym/yyPE5cXBzc3NxgbGwMa2trLFiwIFvvi46Oznbd92Uro6ijowNPT88c75yIiIiIcs+wYcMgk8kQEhKCmJgYdOvWDYUKFcLw4cM/+r6RI0eiSJEiOT5etjKKvIGFiIiISFwhISE4c+YMVq1aBTMzM9jb22Pz5s2YN2/eR9+3Y8cO/Pnnn591zGwFiidPnvysnRMRERHlBzoS8V7ZdenSJbi4uEAmk6nLKlasCGNjY/j7+wu+JyQkBOPGjcOYMWM+r18+611ERERElCsUCgXi4uI0XgqFQqteYGAgypQpo1Vevnx5PHv2TKtcpVJhwIABmDRpEqpUqfJZbWOgSERERAWeRMT/zZs3D2ZmZhovoenk5ORkGBoaapXL5XIkJydrlS9fvhwZGRmfnU0EPuPJLERERESUe6ZMmaK1vKBUKtWqJ5fLkZSUpFUeFRWlFUA+fPgQCxYswNWrVyH5D2tEMlAkIiIiEpFUKhUMDD9kZ2eHI0eOaJU/f/4cpUqVUv+clpaGgQMH4tWrV+qp6vT0dKhUKly7dg1XrlzJdtsYKBIREVGBlx+e9dywYUNMmDABaWlp0NPLDOHu3bsHhUKhce2inp4efHx8NN67ceNGXL9+Hb/99luOjslrFImIiIjyARsbGzRo0ABjx45FQkICgoKCMHToUHh4eAAA+vTpg927d+fqMRkoEhERUYGXH5bHAYDVq1fj9evXsLS0hJOTE7p06YLBgwcDAPz8/BAWFpar/SJRqVSqXN1jHvAoTPtCT/o8xUwNxG7CN0NuoCt2E74JVv23it2Eb0bEln5iN+GbkZb+zf0qFYWxVLz534Vnnop27EnNS4t27E9hRjEHkhITsGT2VPRs3QADurrgr+0bsqx79+ZVdGlRBz1bN/jkfi+dPYEnjx8AAF6Gh6Kzc+0PXrXg3rklFIoUAIDvresYN6wPerZugEkj+8P/0f3cOcGvKDEhATOmTUKLhrXRwbUZtmz8I8u6586cQs9O36FZ/Zr4YdhABAUGaGy/6vMvGtaqgsZ1qqlfr6NeAQDi4mIxy3MKvnNuhC5tXbB5w1pkZGSo33vn1g0M6d8LLRs7YWj/3rh3986XOeEvJCEhAVMnT0CDOjXh0rwxNqxbm2XdM6dOomPbVqhXqzqGDXJHQMALje2rV65AiyYN0ahuLczwmIqkpET1tpiYaEybPBFNG9RFm5bNsXnjeo33Pnv6FAP79UG9WtXRtWM7XDh/LlfP82swketj7ahGCNnQC49+74ox7SsL1pvUpSqitrppvKK39cX8/rUBAAentdTaHrujH9rVLqHexyEPF0Rv64sf21bS2n+3Bg64sqg9gtb1xL4pLVCyuPGXOeEvKCEhAVMmjUe92o5o2awR1v+xJsu6p0+dRPvvWsGpZjUMGdhfa1yu+v03NG/SAA2casLTYwqSEt+Ny08d5/GjRxg8oB/q13FEt87tcenihVw9zy8tISEB036egEZ1a6JVi8bYuP4jn+/TJ9G5fSs0qFMdwwe7I/DDflyxHHVqVMLoH7Qf8/bwwT0MGdAXTerXQq9uHeFz+ZLG9h3bNqNtK2c0bVgHUyaNQ/Tr17lyfnmNRCIR7ZWXMVDMgRWLZ0FPVw/r9xzDwhWb8O+5kzh6cI9g3Wo1nbD31LVP7vN1VCRWLp2Dt4nd4pbW2Hf6usbLpW1ndOrZH1KpDJERYfjf/OkY/MMEbPv7HAaOHIdf5k1HXGxMbp7qFzd/9gzo6enhwNEzWL1xO86cPI79e7Svq3jq74eFc7zx83RvnDjvgxaurTH2h+EaC5E+f/oEg4aNxIVrd9WvwkWKAgCmTRyLYsUs8OfBo/jfyj9w4cxp7Nm1HQAQFBiA6ZPHY/io0fjnxHm4uQ/Cz+N/xMuI8K/TCblg1gxP6Onp4djpc9i0bSdOHj+GPbt3atXz93uM2d5emD5jFi74XINLqzb4YfhQdT/+uWsnzp4+hc3bd+HoqXOARIKZXtPV7/ec+jNK2Nnh6Mkz2LrzT9y6eQMHD+wDACiVSvw4chhaf9cWF3yuYZrnDMz08oC/3+Ov0wm55H9D6iE1PQMVR/4FF8+j6FjXDgNblNWqt3CvL4r03aZ+2Q3ehfCYZPzvUOYfbB3mnNTY3mrGMdwLjMbf14PU+2g/+wQW7L2rte+W1a0xuUs1DF1xEeVG7MGBK4HYPckZUv389VU9c8Z06Onp48SZ89i8fRdOHj+GP7MYl7O8PeHlPQuXfK7DtXUbjBw+RD0ud+/agTOnT2HL9l04fvo8JBIJvN8blx87TlJSEsb8OBJu/dxx/tIVzFuwGMuWLMSL59qLEudVc2Zmfr6PnDyHjVt24tSJY/jrT+F+nDvTCx5es3Du3zef7xFDNb4nvx/1E1au1U5uRL6MwNifRqKv+0CcOPsvJkyeipme0/D8WWZ27cTxo/jrz11YuWY9jp48D2sbG3hNn/LlTprynDz37ZOQkABTU1OkpaWpyw4fPgw3NzcolUrR2hUV+RK+t69jxLhpMDI2QXFLa4yZOgt/bVv/6Td/xK8LZiAxIeGjx712+TzadOwOAPB7eA+Vq9VC5Wo1oaenj4pVaqBMuUp4cPfWf2rH1xT5MgI3r1/FxKleMDYxgZW1NTxnzsPmDdp/Le/ZtR1u7oPgWKsO9PUN0LlbT1SsVAUnjvyjrvPs2RPYO5TUeu/jRw8RHf0aw38YDSNjY5Sws8e0GbNxaN9f6n336uuOOnXrQyqToVkLF7Rp1xGnThz9ciefi15GROD61SuY5ukNExMTWFvbYNbcBYLZm107tsF90GDUruMEfX0DdO/ZC5WqVMWRf/4GAGzbshHTZ8yEja0tjI2NMc1zBu7cuoWgwEAAwM0b1zF42HDIDQ1RpGhR9OrTF2dOZT7a89TJ4yhTpix69naDvr4BataqjWHfj8KmDf/ts/E1WZnL0biyBcau80FcciqCXiVi+O+XMLbjp59kMNilHI7cCEJYtPZit0BmBnLJPt9staN3k1KYsfMW7r6IRrIyHRtP+8M/LA71yhXP0fmIKSIiAteuXoGH17txOXveQqxfqz0ud2zfhgGDhmSOSwMD9OjZG5WrVMXhfw4BALZu3ggv71mwtS0BY2NjeHh64/atmwgKDPzkcZ4/ewoLS0s4t2gJfQMDlC1XHs2at8DFC+e/an98rref76nTM8/PytoGM+cswIZ12v24e+c29B84GLVqZ36+u/XohcpVquLo4b8/eZzz586gpUtrNGveAlKpFLXr1IVb/wE48ua9MpkM8xYuhZ29A+RyOQYMHIqb1z+dBKFvR54LFN8uJpmeno5Zs2YBAExMTLBz505RA8WH926jRq16MHhvnaMS9qUgkxsiNDjgI+/M2j/7diElJRkVqlTLss7enRvxXaeekMnlAICKVWvgwd2buHHlIlJTU3Hr2mVc/fccChUu/FltEMPd27cyg7P3+tKhVGnIDQ21ppXv3LqBJk2ba5Q1b+mC69fe3fb/4tlT2Dk4aB0nIyMdvdzcNdL6xS0t8fp1FADA2toGjZs5a7zHwsISr6OiPvvcvqbbt26iXv0GGv1YqnRpGBoaaU3f3bxxA82cW2iUtXR1xdUrl/E6KgrJycmoVPldUKSvr4+mzZvj2tXMfm7UpCl+WbIYCQkJCA8Lw/q1q1GkSBEAwK0bN9C0+Yf7boWrVy7n5ul+UfXKF8cZ3zAoUt9dluAXGofElDSUsjTJ8n0yfV0Mb10Byw4KX/5R3aEwHIqbYN+V7H1H6GZxVXsho/xzrfDtWzcEx6Xc0FBrXN66cR3NPxg7Li6tcNXnMqKyHJfOuHrF55PHKV2mLKKionDowH4olUrc872Lgwf2ocib2Ya87vbtm6j7wfmVLFUahnIjrWnlWzdvoNkH/diipWu2PoPp6RmC5fFxsQCAxk2aoWy58gAy/8j/37JFqN+gYU5OJd/ILzezfG2iBYoJCQmwsbFBqVKlUKpUKZQsWRK1a9eGrq4u5HI5dHR08MsvvwAATE1NAUDUefzIiHBY2ZTQKrexs0d4aEiO9xcSFIA/t/yBMVNmQ0ci/M8Q8zoK/547ibade6rLChcpBvfvx2Dm5B/RzcUJMyaORIvWHVChcvUct0EsEeFhsC1hp1Vub++AkOAgjbLIyJewti3xQb2SCAkOVv/8/OlTTJ0wBq2bN8DUiWPUgWDFSlXQrmNnjfdeunAOFSplXnvW060/StjZa22vWOnznof5tYWHhaKEnUA/Ogj048sI2H7Qjw4OJREcHISwsFCUEPr3cCiJ4KDM/Uzx8MSpE8fRuF5ttHFpjsjISAwbMUrdDrsP2mFubg6lQiHqH3c5YVvECM/C47XKn4TGfvQaQXfnsjhzNwxBrxIFt0/sXBVL9vsiu7cMHrgSCK9ejqhiZw6Zvi4GOJeFSw1rXPGPzN4O8oDwsDDYffC5At6MtyDNcfnyZQRsS3wwLkuWRHBw8JtxJbCfkpnj9lPHkclkmDVnHmZ4TkMdx6pw69UdVatWh0ur1v/xDL+O8Cw/lw4IDtbuR5sPvycdSmp9Dwhp1LgJjhw+hPNnT0OpVOLG9avY8McaONaqo1Hv7JlTaN2yKQ7/cwjDRvzwGWdE+ZVogaJcLodMJsOWLVsgkUiwdetW9WNppFIp9PX11YtJGhgYqMs/JPQgbaXAg7T/K6UyBVKZTKvcwECW4+Olp6Vh2Zxp6D/8J1hYWWdZb//uLXBt2wWGRu9+UT15/AAbVi7D9PnLsfvYZXgvXgldXV2k5pNfyACgUKRAJtSXUpnWQ9BVGRnQ0dEcplKpFMo3N/YoFApMmzEbG7b/iT0Hj6FkqdKYOmG04HGjXkXi16WLMGjoCMHt/xzch9dRr9Dkg7/M86oUhUKdaX6fTCqDIkWzHzOE+lGWWU+RxX6kb/490tLSMHrUCLRp2w5nL/ng8InTaNCokfqC9izfL5NBkZLyX07xq5EZ6CJZmaZVnpyaDpmB8HMJ9HV1MKptRSw9cE9we0XbQqhUohD+vPQi2+3Y5xOAjaf8sX1CM9z+XycsHeyEHeefITyLae28KCVF+PMtlUm1Pt+C41KaOW4UCoXgfmRvtn/qOGGhofh54nh4z56Ly9duYeuOP1G0WDGNm2Hysszzz+JzlY3vSZlAPSHWNraYu2AJVq5YjtYtGmPsjyNQyNwczi1cNOo1a94Cx89cxPcjfsRPI4chJib6M84qb5NIxHvlZaIFirq6ujAyMkLDhg3V/3070D8MEJVKJWQymbr8fUIP0l7z6+Jcb6+BgQxKpfaHLj4uRjCA/JjdW/5AMQsrOLdqn2WduNgYnDt5GO279dF87+a16DfkB9Su1xhSqQw1atdD2YpVsPWPnK20LiapVLgv42JjtL74JTo6+HAFp9jYWEjffIFKpVI0dW4JExNTGJuYYOiIH5GSkoKn/n4a71EqlZg6cQy6dO+FylW1p/of3PfF78uXwXvuIsFxlhfJpNq/eAEgRqAfdYT6MSazXmbgrb2f2Df7uXDuLKQyGUaPmwAzs0KwsrLGqB9Gw8tjKpRKJaRZtCMuNhYyec4+G2JJUaZDqq+9fFFhYymSFdoBJAD0bVYalx+9xLMI7UwkAEzoXAXLDt5HRg5XIPv9yENU+2kfpmy+jldxCnhtv5mj94stqwDl7Xh7n9C4jImNgUwuz3JcxcREQ/Ym0fCx42zZtAFdunVHu/YdYWhoiKrVqqFd+44aN8PkZVKpFAqB70mhfhT6nowRqJeVuvUaYMef+7F1519QqVSYNt1b8HuwSJGi6D9wMBo2boLDfx/KwdlQfpanrlF8GygmJydj0KBBiI6OxqBBg+Dh4QErKyvB90yZMgWxsbEar2E/Tsj1thWzsEREWKhWeURYKCytbLK9nyePH2Dvjo24+u85dHOpi24udXH/7k38/ONA/LP33d1sh/Zsg3Or9jA2MdV4f0hQACpVc9QoK1exCm5dyz/Xg1lYWiE0RHu6PjQ0BDY2thplxYoVR/gHi4eGhgbD+oN677O2scXLlxEaZXO9p6O4hRXcBw/Tqh8eFoop40djqudMOJTKu2tZfcjSyhqhIcFa5aEhwbD5YDqvWHELhH0wfkOCg2FrWwJWVtYIEdhPSHAwbGxL4MWL56hZs5bGNrmhIUxMTPDE3w+WAu9/9SoSpmZm0NfPH9fWBUclwr6Y9hSzfTFjvHipfbOZro4EP7WrhMX7hW9SKWVpgtqli2LHhc9bl81Ypoe5/Wpj4oariE7MP7MFAGBpZYUQgc93SEiw1uUPxbMYlza2toLj6v39fOo4L148R81atTW2Va5SBVd8/v2c0/rqsvp8Z9WP4R/0Y2hIsNZ09KcsnDcb7Tp0guObfsvIyICvwJJh5cpXwKtX+edyCPpv8lSg+PYvIh0dHdjY2GDs2LGwsbGBUqlE7dq1Bd8jlUphamqq8TLIxoO1c6pilRq4e/Mq0t+7Gzvg2ROkpiphZat9HUlWypSvhD+P++CvE1ex58QV7DlxBZWr1cT8XzegbZdeAIDEhHicPHIAHbv31Xq/hbUNggNfaJQ99X+EQoWLfN6JiaBaDUfcuOajcWf70yf+SFUqYfvBNUfVatTElX8vapSdOXkcderWQ2qqEqNHDNGY3lQqlXh4/57GtYd/rFqB0JBgeHjP0brONTExERNHj0Kf/gPRsEmzXDzLL6+GY01c9dHsxyf+flAqlVrXbjnWrIl/P1hD7uSJY6hbvz4KFykCfX19jWVD0tLScO7MadStVx+2tiXw/IMlRRQKBZ4/e4aiRYsJ7/v4MdStVz+3TvWL83n8Ek2rWGncTFLRthCk+rqCGcMejUrizovX8A+NE9zf+I5V8Os/Dz57EWaPHjVw3T8SB64Gftb7xVTDsRau+lzWGJf+b8el/YfjspbW2oYnjx9DvXoNUCSLcXn29Gk41av3yeMIjdvHjx/B3Dx/3PhXo0ZNXL2i/flOVSq1rq2u4VgT/17S7MdTJ47BKQefwdOnTuDJEz/8OGa8ukxHRwfTp07Sunnm/j1flMpHf1Rnl45EItorL8uTgaKBgQFmzZqFWbNmYebMmYiPj8fAgQNFbVuRYsVRoXI1rFuxGMlJSYh8GY4Vi2eiR78hAIAls6bg4pnjuXKsf/buRGPnVjAtZK61rUM3N6xdvgCP799FqlKJ+3du4I9fF+G7Tj0F9pQ3FStugSrVHLF8yQIkJSUiIjwM82d5YcCQzIVgvaZOxKnjmUvUdO/lho3rVuO+712kpabi7/178dTfDy6t20Jf3wDGJiZYPH824uJiERn5ErM8p6Ji5Srqm2WOHf4bRw8fwvyly7WucU1PT8f0yeNQo2Yt9OyT/55QUdzCAtVqOGLxwnlISkpEeFgYZs6YjiHDMq/BnDJpPI4fPQIA6NWnL/5YvQq+d+8gNTUV+/f+BX+/x2j9XTsAgFu/AZjpNR0R4eFITEzAgrmzUbdefdjY2qJJs+Z49PABdu3YhsTEBLyMiIDn1J9RrXoNFLewgHNLV9z39cWhA/uRmpqKO7dvYdP6dXAfOFi0vsmpsOhkXPWLxLz+tWEk1YNNYUMsH1oPi94sa/PHD43QuV7mL2eJBBjXoYp624fsihqhSWVLbD7z5LPaUs3BHN0alMT4DVc/72REZmFhgeqOjli0YB6SEt+MS6/pGDo8c1z+PHE8jh09DADo7dYXa1evxN0343Lf3j3w83uMNm0zx2Xf/gMww9NDPS7nz52FuvUz/3j51HF69cnc96WLF6BQKPDo4UNMnzoZvfq4idMxOVTcwgLVazhi6aI3n+/wMMz2no7Bbz7fUyePx/FjmZ/vnr37Yt2ad5/vA/v+gr//Y7Ru0y5bx0pOSsKShfMwzXMmDA2NNLb16euOmV4eCA4OQnJSEvbs3ol7vnfh2vq73D1hyrNEuxgrPT0dCQkJOH78uPq/b/9ySk9Px7///ov4+HgcOHAAJUuWRKtWrcRqqtrI8R5Y9cs8DOjSEnJDI3To0RcubTPvqg0JCkD0m6eB/FdhocHoN1T4rrIateuhe78hWDbXA1GRL2Fdwg7uw0ejXuPmgvXzqsnTvLB4/iy0d2kKQyMj9HJzR/tOXQEAQQEB6mmN0mXLYeykqZg5/WdERISjStXqWLJ8pfr61Z+ne+OXRfPQvUNrQAU0ad4CYyb8DAC4ffMG5np7IC0tDR1bafbP7gNHsXXTH/D59yJ0dXWx/693i33XqFkbv67OH2sAenh5Y95sb7Rs2hhGRkbo238AOnftBgAIePECryIz+7FsufKYPNUDHlMmISI8HNWq18CvK9eo+7F7z154/ToKvXt0gVKhQEvX1pjmOQNAZtb+fytWYcGcWfhlySKYmpmheYuW+HH0WPX2X1asxOwZnpjt7Qkb2xLwmDETpctoL1adl435wwdLBtWF36puSEhOxYrDD7HlbGawV8bKFBaFMq+LtStqjPMPwnE/MEZwP1XszbHs4D0o04SXHfkUfV1djPnDBy9j88eNQEKme83E3Fkz4Ny0EYyMjNDPfQC6dM1cCzYg4LnGuPx56nRM+3kSIsLDUK16Dax4b1z26Nkbr6Oi0LN7ZygVCri0ag0PT+9sHadU6dLwnDETvyxZhBcvnsPaxgY9evVBH7f880fh1OnemD/HG67NG8PQyAh9+w1Apy6Zn+/AAM3P98QpHvCclvn5rlqtBpaveNePn5KUnIQ+ffujfoNGWtu69+yNpKREDB/sjujo16hd2ylH+85P8voyNWIR7VnPCQkJKFeunEaWp3Dhwrhx4waMjY2xefNmjBw5Eunp6Th69Chq1ar1kb1p4rOecw+f9Zx7+Kzn3MFnPecePus59/BZz7lDzGc9L7/4XLRj/9RI+6EReYVoGUVjY2OEhmrfHJKeng6FQoEuXbqgY8eO2LBhA1q1agU3NzcsXLhQcIkcIiIiov8ij18qKJo8dY0ikHnHc3p6OtLS0qCrq4shQ4bgypUruHPnjsZFvURERET0ZeW5BeOMjY0RHx+vsYZT6dKlcebMGVGfzEJERERU0OS5QBEAjIyMtMoYJBIREdGXogPGGULy3NQzEREREeUNeTKjSERERPQ1ceJSGDOKRERERCSIgSIRERERCeLUMxERERV4fDKLMGYUiYiIiEgQM4pERERU4OnwbhZBzCgSERERkSAGikREREQkiFPPREREVOBx5lkYM4pEREREJIgZRSIiIirweDOLMGYUiYiIiEgQM4pERERU4DGhKIwZRSIiIiISxECRiIiIiARx6pmIiIgKPGbOhLFfiIiIiEgQM4pERERU4El4N4sgZhSJiIiISBADRSIiIiISxKlnIiIiKvA48SyMGUUiIiIiEsSMIhERERV4fNazMGYUiYiIiEgQM4pERERU4DGfKIwZRSIiIiISxECRiIiIiARx6pmIiIgKPN7LIowZRSIiIiISxIwiERERFXh81rMwZhSJiIiISBADRSIiIiISxKlnIiIiKvCYORPGfiEiIiIiQcwoEhERUYHHm1mEMaNIRERERIKYUSQiIqICj/lEYcwoEhEREZEgBopEREREJIhTz0RERFTg8WYWYd9koFjBylDsJhDRFxK7o5/YTSDSpscgg75N32SgSERERJQTvBZPGPuFiIiIiAQxUCQiIiIiQZx6JiIiogKPN7MIY0aRiIiIiAQxo0hEREQFHvOJwphRJCIiIiJBzCgSERFRgcdLFIUxo0hEREREghgoEhEREZEgTj0TERFRgafD21kEMaNIRERERIKYUSQiIqICjzezCGNGkYiIiIgEMVAkIiIiIkGceiYiIqICT8KbWQQxo0hEREREgphRJCIiogKPN7MIY0aRiIiIiAQxo0hEREQFHhfcFsaMIhEREREJYqBIRERERII49UxEREQFHm9mEcaMIhEREREJYkaRiIiICjxmFIUxo0hEREREghgoEhEREZGgPBcopqWlYdCgQYiPjwcA+Pr64v79+yK3ioiIiL5lEhH/l5dJVCqV6msfVKFQYOXKlZDL5dDV1UVSUhI6d+6MFi1a4ObNmyhUqBBiYmJgbGyMPn364N9//4W/vz/09fW/dlOJiIioADjx8JVox3apWFS0Y3+KKDezqFQqjBs3Do0aNYJKpcLly5fx3Xff4f/t3XdUFFcbBvCH7UsTRIqAIvYKVqyxt9h77xo1mhhbbMEaS0xMjLGXKNbYe69oNPbYe4sUQQTpLFvn+4OPjeuOURNlUZ5fDueEO3dm7owD+/LeMg8fPoRKpYJSqYRSqcSuXbuwZcsW7Nmzh0EiERERvTeS7J3YsxmbBIpKpRJSqRQnTpwAANjb20OpVEIul0Mmk0EikWDFihUIDg7GunXrUL9+fVs0k4iIiChHs0mgaGdnB7uX5qFLpVJIJBIEBwdDr9fj1KlTOHfuHAoUKGCLJhIREVEOkt3HCtqKzSazvDw00mQyQRAEPHjwAEajETt27MCaNWus6hERERFR1rBJoGgymawyigaDAUajEb/99hsUCgVCQ0OxceNG9OrVyxZNJCIiIsrxbBIopqenw2AwmLubtVotkpOTodfrodPpoNfrUbx4cYSGhuLYsWNYsmSJLZpJREREOYSdne2+sjObTWa5du0apFIp7OzsYDQa4evri7lz50Kn08FgMCA1NRVqtRrz589H79690bVrVzg4ONiiuUREREQ5kk0yilKpFKVKlcKVK1fg7++PkiVLwtnZGYMHD4ajoyOioqIQGhqKokWLokCBApg3bx6DRCIiInpvuOC2OJtkFMPCwtC2bVtcvnwZmzdvRlpaGmbMmAGVSmWuIwgCkpOTUbt2bWzcuNEWzSQiIiLK0WwSKHp5eaFixYpYv349ChUqhHXr1iEtLQ0jRoywqGc0GnH27FmYTCZbNJOIiIgoR7PJK/xeduDAAezevRtz5861dVOIiIgoBzpx97nNzl2zaG6bnft1skWgSERERGRLDBTF2WzBbQDQaDTYunUrACB//vwIDw+3ZXOIiIgoh+JkFnE2GaOYSa/X44svvkCbNm2gUCiQJ08enDp1ClOmTIFUKjXXUSqV2L17ty2bSkRERJTj2CRQNBqNCAgIgLu7O+Lj41G3bl1ERUVBqVRCrVYjPj4eNWrUgLe3N7777jvs3LnTFs0kIiIiytFs0vWs1+sRHByM4cOHw83NDaNHj4arqyskEgnUajXc3NxQvHhxlCtXDgqFAtWqVbNFM4mIiCiH4JtZxNkko6hSqVC3bl3kyZMH9vb2aNSoEezt7QHA6h3QRERERGQbNgkU9Xo98ubNC5lMBqPRCLlcDpPJBL1ej/T0dGg0GsTFxcHR0RFGoxHh4eHIly+fLZpKREREOQDTVOJsEihKJBKEh4fDaDQiKCgIDx48QJEiRZCSkoK4uDhERkZi1apVAABXV1dUr14dYWFhtmgqERERUY5lk0BRKpXCx8cHGo0GS5YsgYODA/r162cOHGfNmoXGjRvj1KlTqFu3ri2aSERERDmIhEPfRNl0HUVBENC7d29ERkYiNTUVefLkgdFoxNChQ6FUKjF9+nRs2rTJlk0kIiIiyrFsklE0mUyoW7cuRo0aZS47efIkVq1aBaPRiPT0dKxatQoVKlRA3759UbJkSZQqVUr0WFqtFlqt1qJMqVRCqVS+12sgIiIi+tjZJKOYkpKCcuXKoUOHDjAYDEhNTUV4eDi2bduGHTt2ICUlBdu2bcPdu3eRN29eLF68+JXHmjFjBnLlymXxNWPGjCy8GiIiIvrQ2dnwKzuz6bueIyIi0LdvXyQmJmLAgAHo3bs3oqKiUKlSJURERAAAdDodFArFK4/BjCIRERH9V2fuJ9js3FUKu9js3K9j00Ax05w5c9C3b184OjoiPT0dd+7cQWBgoK2bRURERDnEmQcJNjt3lUIuNjv362SLQJGIiIjIlhgoirPprGej0YiHDx8CAJKSkuDs7Izo6GiLOhEREQgPD7dF84iIiIhyNJsGiklJSShSpAgMBgPs7e2RkpICJycn8/Zly5ahdOnSmDRpku0aSURERB89Oxv+l53ZZHmcTI6OjpDJZJDJMpohkUigVCqRkJCAPn36YO/evShcuDAWLFhgy2YSERER5Ug2yyimpaVBLpdbzGiWSCSQyWQIDw+HwWDA6dOnER8fzxnMRERE9F7Z2dnuKzuzSUZREAT4+/vDz88P6enpCAoKApAxZvHYsWPw9fXFzp07AQBxcXHQaDRQq9W2aCoRERFRjmWTjKJer8eYMWPQv39/SCQSDB48GIMGDQIA/Pzzz6hWrRr27NkDAPDy8sL9+/dt0UwiIiLKIbjgtjibLo9jMBjg4OAArVYLQRAgk8mQlpaGzZs3Y/z48WjatClOnTqFcePGoV27drZqJhEREX3kzj9MtNm5KxXMZbNzv45NZz0nJiZCr9dDq9VCr9cDyMg2du3aFTdv3oRMJsPly5dx5swZWzaTiIiIKEey6axntVqNx48fQ6lUIjExEd7e3khLS4OjoyNUKhVmz56NoKAg8xhGIiIiovciu/cB24hNM4oDBw7EwIEDAQBXr17FxYsX4eDggGnTpuHu3bsAgM6dO6NQoUK2bCYRERFRjmSzQHHHjh3Yv38/5s2bBwD44osvsGHDBty4cQO///47AgICULJkSYwaNQoHDhywVTOJiIgoB/hQFtxOSkpC165d4ejoCG9vb8ycOfOVdbdv346AgAA4Ozujfv36uHPnzlvfF5sFik2bNsXRo0fh7++Pq1evIiEhAYMGDUJQUBD279+PyMhI9O7dGxs2bOAYRSIiIiIA/fv3h1wuR2RkJE6fPo3Nmzdj8eLFVvWOHz+O4cOHY/ny5YiOjkaHDh3QqFEjpKSkvNX5bDrr+UX3799H4cKFrcr1ej2kUikkEpv2khMREdFH7MKjJJudu6K/8xvVi4yMRPny5fH48WOoVCoAwK1bt/Dpp5/ir7/+sqjbsmVLdO/e3WLVmI4dO6Jjx45o06bNG7fNJpNZjEYjfv75Z8jl8tfWlUgkCAgIQM2aNbOgZURERJQTZfc3pADAqVOn0KBBA3OQCAAlSpSAo6Mj7t27hyJFipjLy5Qpg3r16lnsny9fPjx9+vStzmmTQFEqlWL06NEICgp67ev5oqOjERkZifj4eEil0ixqIREREVHW0Gq10Gq1FmVKpdIqRgoLCxPtfS1WrBgePnxoEShOnTrVoo7RaMS+ffsQEhLyVm2z2fI4CoUCmzdvhre39z/Wu3PnDkqUKIEHDx6gaNGiWdQ6IiIiyklsmVCcMWMGJk+ebFE2ceJETJo0yaJMo9HA3t7ean+1Wg2NRvOP5/j222/h7++PSpUqvVXbbBYovpgd1Gq1WLhwIezs7GBnZ4fMYZODBw9G7ty5cfr0aQaJRERE9FEaO3Yshg8fblEm1uOqVquRlpZmVR4XFycaQGbauXMnli9fjvPnz79122wWKJpMJovvhw8fjm7dukEqlUIQBKxevRqDBw+Gu7s73N3dbdRKIiIiyhFsmFIU62YWkz9/fuzbt8+q/NGjRyhYsKDoPpcuXcJnn32GPXv2wNPT863bZrNZzwqFAteuXUOxYsUgCAKkUilSUlJgb28Pg8EAhUJhFUwSERERvQ9/PrbdrOfyfm8+67lq1ap4+PAhZLKMXN/169fRvHlzPHr06JX158yZg9atW/+rttlkzRmDwQBPT09zf3pml7Pd/6ccvfj/RERERAT4+PigWrVqGDZsGFJSUhAeHo7PPvsMwcHBAIAuXbpg48aNAICUlBQ0a9YMQ4YM+ddBImCjrmeZTIbw8HBzxlCn00EQBIwaNQpyudxcbjAYzBEzERER0fvytm9IsZXFixdj0KBB8PLygpOTE4YPH46+ffsCAO7evYuoqCiYTCZ07twZly9fxrVr1zBmzBjz/j179sSvv/76xuezSddzSkoKJk+ejCNHjuD8+fPQ6XT47rvvoFQqIZFIYDKZoNVq8c0330ChUGR184iIiCiHufQ42WbnLufnZLNzv45N0nUjRozA8ePH8fXXX0Ov10OtVltNCyciIiLKKhzxJs4mGcX4+Hg4OTlBJpPh3Llz+PTTT+Hg4PCP+4SFhWVR64iIiCinuRxmu4xi2fzMKFpwdXU1/3+BAgWwatWqV45F1Gq1iI+Pz6qmEREREdH/2Wx5HCIiIqLs4ooNM4qB2TijaJPlcYiIiIgo++PaM0RERESczCKKGUUiIiIiEsWMIhEREeV4H8qC21mNGUUiIiIiEsVAkYiIiIhEseuZiIiIcjy+mUUcM4pEREREJIoZRSIiIsrxmFAUx4wiEREREYlioEhEREREotj1TERERMS+Z1HMKBIRERGRKGYUiYiIKMfjm1nEMaNIRERERKKYUSQiIqIcjwtui2NGkYiIiIhEMVAkIiIiIlHseiYiIqIcjz3P4phRJCIiIiJRzCgSERERMaUo6qMMFI/ejrN1Ez4aZXxy2boJHw21QmrrJnwU/nqWausmfDQKeznaugkfjYGbrtq6CR+FkM4Btm4CvYRdz0REREQk6qPMKBIRERG9Db6ZRRwzikREREQkihlFIiIiyvH4ZhZxzCgSERERkShmFImIiCjHY0JRHDOKRERERCSKgSIRERERiWLXMxERERH7nkUxo0hEREREophRJCIiohyPC26LY0aRiIiIiEQxUCQiIiIiUex6JiIiohyPb2YRx4wiEREREYliRpGIiIhyPCYUxTGjSERERESiGCgSERERkSh2PRMRERGx71kUM4pEREREJIoZRSIiIsrx+GYWccwoEhEREZEoZhSJiIgox+OC2+KYUSQiIiIiUQwUiYiIiEgUu56JiIgox2PPszhmFImIiIhIFDOKREREREwpimJGkYiIiIhEMVAkIiIiIlHseiYiIqIcj29mEceMIhERERGJYkaRiIiIcjy+mUUcM4pEREREJIoZRSIiIsrxmFAUx4wiEREREYlioEhEREREotj1TERERDkeJ7OIY0aRiIiIiEQxo0hERETE6SyimFEkIiIiIlEMFImIiIhIFLueiYiIKMfjZBZxzCjSR8NoNGJNyDIYjUZbN4WIiOijwEDxLWjSUrH8x0kY2rEexvRqgQNbVr+y7uUzxzF1SHcM61QfP48fguiIxxbbTx7cgUGta2Bw608wuPUnGNqxnsX25T9OMm8b3PoTzJ8ywrzt/IlDmPh5JwztWB9zJw/Hs+jId3uhWSA1JQWTg0ehwScV0bJxbawJWfbKuidCj6BTmyaoW708hgzsjfCwx6L1tmxYi8t/XoBUKjWX3b19C5/36YoGn1RE7y5tceHcGYt9jh0+gG7tm6NBzUoYNvgzRISLHzu7SklJwTdjRqJG5fJoVO8ThCxf+sq6x44eRuvmjVCtUiAG9O2JsMd/mbcZjUYsW7IQzRrXRb1aVTF5wjgkJyebt+t0OrRp8SkqBpbA4YP7rY7929pVaNqoLmpVr4Sxo4Yj/vnzd3qdWSEtNQU/T/8GXZvWQL8OjbDtt5BX1r126Rw6NAxC16Y1rLYN7t4S7RsEWXy1rVcBD+/eAgA8j32GaeOGoHOTavi8Wwsc3b/TYv9b1y5hzOAe6Na8JsZ80RN3b157p9eZFVJSUjB21AhUqVgO9WvXwPJlS15Z9+iRw2jepBGCygegX+8eePzCcwkAixbMQ52a1VAtqDwmBI9FWmrqG5/n4YMH6NmtM4LKB6B1i6b4/cTxd3qd75tKJsGAqvmwqF0pzG5ZAk1KuL/RfvZyqUVdOwCtSnvip5bFMbdNSfSu5AOl7O+Pfw9HBYbVKoAFbUthRtNiqOrn8spjS+2ANmU8/+0lZWt2NvzKzhgovoW187+DVCbDjOU78PX3i3Hpj2P4ff92q3p3r1/C5uVz0f3LcZi5cjcq1KiLuZOHIV2TZq7zJOwRun85DvO3/Y75237HzxuOWBwjKvwRpizeaN4+eMKPAIBHd25gy4q56DNiEn5YsxdlKlbHwqmj3ut1vw/fT5sEmUyGbfuOYfGKdQg9ehDbt2y0qvfg/l38MH0yRn8zGQdCz6Bu/cYY8eUAaLVai3pxsc+wduWvGD462Fym0aTh66Gfo3X7zth79A8MGTEG344fjeioJwCAG9evYunCuZg47QfsPXIK7Tp1RfDoYTAY9O/34t+haVMmQCaTYd/h4whZvR5HDh3Alk3rrerdu3sH06dMRPDEb3H8j/No0OhTfPH5Z+b7+OvSRbj850UsX/kbtu7cB4lEiskTxpn3VygU2LpzH5o2b2l17EMH92PLpg1YuGQ59h8+AW8fH0wcP/b9XfR7suinaZBKZViyYR+mzw3B6d+P4OCuLaJ1y5QLwsaD50S3zV+9A5sOnTN/fTX2W1SoXAMFi5YAAPww6WsUKFgUIduOYsyUH7F5zTJcOvcHAOBJRBh+/HYMOvcZjF83H0Srjj0xc8IIxD17+n4u+j2ZMmk8ZDI5Dh07gVXrNuDwwQPYtFH8ufx28gRMnPwtTp25gIaNP8WgAf3Mz+XGDb/h2NEjWL1uAw4ePQE7OztMnjj+jc6j0+kw+PPP8GmTZjh15gLGT5yMyRO+wb27d7LmJrwDvYN8YTQJGLbjFqYeuo+K+XKhdqHcr92vRyUf5LaXm79vVDwP/FzVmHLwPkbsuIW4ND26VfAGACikdhhR2x8Xw5Pw1fabWPjHY7Qs7YkSno6ix24d4IX8rup3c4H0QWCg+IYS4p7h7rU/0eXzr6F2cISbR170HDoB+7essqp7ZMdvaNNzEPyKlIBCqcInjVrBv0gp3Lr89wdLVNgjePn4iZ7LZDQiPvYpcrt7WW0zGg34bNRU+BUuDrlcgdpN2yLheSxSkhLe2bW+b89inuLPi+cwcuxEODo6wSuvN4Inz8CaEOts2JYN69ClRx+Uq1AJcrkCrdp1RImSpXFo/x6Legvm/Ii2HbvC28fXXJaYkIAvh41Cw0+bQS5XoFyFSihZOgC3bmRkaK5cuog69RuiSNGMe1n9k9qwt3fAowf33+8NeEdinj7FhXNnMW78ZDg5OSGvtw+mTJuJFb9aZ282rl+LHr37okLFIMjlCrTr0AmlSpfB/r27AQDr167C5GnfwcPTE7lyuWBs8ERcv3YFiYkJr22HSqXCjO9/Qn6/AlCr1ejV+zP8eeH8u77c9yruWQyuX76AAcPGwcHRCR6eeTFk9BRs/W3FfzquIAjYsu5XtOveDwBw58ZVpKdr0KXvYCiVKvgVLILPhozBlnXLAQD7tm9A83ZdEVihMpRKFap8Uhe1GzbDqdBD//kas8rTp09x/txZBE/MeC69vX0wdcb3WL7U+rn8bd1a9OrTDxUrBUGuUKBDx84oVboM9u7ZBQBYsyoEEyd/C1/ffHB0dETwhMm4fOlPhIeFvfY8Rw4dROHCRdGpS1fIFQqUr1AR/T8fjJAVv2bp/fi3XNQyFPd0wMrzkdDoTYhL02PpmXA0K+nxj/tV9nNBpXy5LMqKezji4N1YJGgM0BkF7Ln1DOV8nAEARd0dEJmYjhMPn0NvFBAWn46NV6Lwib+r1bEL57FHo2J53t1FZjN2drb7ys4YKL6hB7euokTZSpArlOayvPkKQKlSI+ZJuEVdb79CKBZY0aLM1d0DSQl/d8dFhT+Cp09+0XPFPn0C1zyesBN5egqXDEShEgEAgNTkJOxatwzuXj5wcMplVTe7unrlEipVrgql8u97WcC/ENRqe6tu5auXL+KTWnUsymrXa4CL5//uQr5y6SLu3LmJLj16W9TzyuuN+o2aAAC06ek4cmg/bt64htIBZQEAlSpXxaH9e3H92hXodDoc3L8bt29eh4vr6/9izw4uX/4TlatWs7iP/gULwV7tYNGtDACX/ryI2nUshzfUq98Q586eRlpaKlq1aQ83t78/AGQyGfLkccfzuLjXtuOTmrVRpGgxABl/BMyZ/QOqVqv+H64s692+cRmBFSpD8cLPt6+fP1RqezyJCPvXxz136hhcc+dB0RJlAGR0K1eqVsviZzugQmWE//UAOp0Wnnl9UKlabYtjuHl4IjH+w+nKv3zpIqq89FwWLFQIant7q27lSxcvoM5Lz2WDBo1w7sxpxMXFQaPRoGSp0uZtcrkcterUxbmzZ157nj8vXkCdui8du2EjnD1z+h1e7ftTJI8DbkSnQG8SzGVRSVqkG0zwdFSI7uOilqFzubw4eCfWovxyZBJalPKAm70cKpkE7QO9kKzNGMsteUWUYq+QWnyvlEnwWZV82H/72X+5LPoAcdbzG3r+7Cnc8/palXv6+CE2OhIe3vnMZS27DbCoYzIacePiGfT46hsAQFpKMpISnmP68N7QpWtQplINtO/3FVRqewDAk7CHiI2OxOiezSBXqlDr0zao36qzxYdLxKN7mDa0J+wkEnwxfpZoUJldPY2Ogo+vdZCc368AnkSGI1/+vzOtz2Ji4O2Tz7JeAX88iYwAAJhMJvz0/VQkJiSgab0aCCxfAd9MnI5cLi4W+7T8tA5SkpPQvXd/uHtkjK8pUrQ4WrZpj4G9uwAAJBIJBg0ZYd6e3UVHPUG+fNb30a9AAUREhCO/XwFzWUzMU/j45nupnj8iI8Jhb++AIcNGWmyLinqCmKfW+/yT0GNHMOKrwVCqVFi5ZsPbXYyNxcZEw8vH+lq98/nhaVQEvEWe1zexec2v6D3o73v7LCYahf7fBZ1JKpXCw8sbz55GoVnbLlbHuHjmd9T71LrLP7uKjopC/vzWvSUFCvgjIjwcfi89l775LO97AX9/REREIDrqifhx/P0REREOFxeXfzxPVHQUGjb+1GKbq2tu6LQ66HQ6KBTiwVZ24eYgR0yyzqo8OlkLd0cFnqZYb+tXJR/23nqGNJ0RBXL/3T0c+uA5yvk448eWGc9eqs6Aub9n/FF+91kqegf5ooa/K86GJSCvsxIdAvPi+EPLP066lvfGlSfJuBGdgnwu7HrOSZhRfEN6nRYKpcqqXKFQQKfTiuzxt70bV8DNMy8KFCkJADAY9Phy4k8InrMKE+atBSBg3YLvzfXdPLwwbNp8TF22FV9MmIU/Tx3FqUOWA959/Yvgh9V70W3wGIT8/C2eRv77rEdW02nToVJZ30ulSmU19tAkmCCRWD6mSqUSWm06AODwwb3QaXWYPX8pNu8+BLc87vh+2kSrY2/bewSz5y3FsSMHcHBfRnfrqd9DsWv7ZixYthqHT17A5OmzkJqaCkEQrPbPjrRaLVQq61/YYvdRMFnfR5VIPSBjYsvk8ePQrWfvt/owrV2nHg4eO4mBn3+JIYP6IyEh/o33tTWdVgulyM+3UqGETuQevYmLZ09Cbe+AkgHlLM8j8uwrlOLnObp/JxKex6FyjTpW27Kr9PRX/XwrrX++RZ5LpVIFbXr6/59v6+Oo/r/9defRpqe/4udDifT09Le9rCynkEqgNZqsynVGExRS64/uBkXdIAGssokA0KGsFyQSO3y98zYGbb6OXTdi4KLOGMOYbjDh5xN/oVah3Pi5VQmMqlMQ9gopjt//uzehnI8zCuWxx6bLUe/uArMhOxv+l50xUHxDcoUSep31X3ApyUmiAWSmK2d/xx+H96D7l39PDHB2yY0SZYOgUtvD0dkFXT4fhTtXL0CTljGbL1/BYshfqBjkcgW8fAug6xdjcEJk0oyjswuq1W+GOs074MS+bf/9IrOIQqkSDa4TExOsfvFL7CRWgVtiYqL5A+Dowf0YMnw0ChcpBicnZwwf9Q2uX7uC53GWvyzVantUqlIN30ycht9WZ4w7W7rwF4ydOBUBZctDpVKjTv1GUKlU2Lpx3bu83PdGqVRCK3YfE6zvo53E+j4miNQDgF9mz4JMJkO3l7ry34SbWx706N0X1T+pib27d731/raiUCpFn8nkpETRwO5NbFnzK9p162d1HrHfI8lJiVaB6v3bN7Bm6VwM+2Y6pNIPp/PnVX+AiD2XErHnMjEBKrX6/38QWh8nISEeKrX6tedRqsR/zyQlJkL9L/9Ns5LOaIJcYh1AOCqkVgFkXmclmpTwwNIzEVb1nZRSVPd3xfyTj/EsVYc0vQn7b8eiip8L8rlk3IfH8RpMO/wAI3bcht4o4Lc/nyBNbzLv372iNxafDrPoBqecg4HiG8rt7om4p0+syuOePkEeLx/RfcIf3sHa+d9hwJjpcHZ59bg3qUwGFzcPJMSJj/3I4+mNhNgYABmznk0vrRPo618YifHWf0VmV55eeRH1xHpJn6jISIvJKADg7uGBp9FRL9WLMNeLiAiDf+HC5m1yuQJ+BfzxNDoKj/96iKSXJmMULloMcf+/z5ER4SjzQrYHAEqWDsDZM6f+9bVlJa+83uYu+BdFRkbA96UuYw8PT/Ns70xPIiOsupa3bt6I30+EYvr3P1plesSYTCZcu3rFqrxoseKIjf1wxjLl8fBCTLT1z/fT6Eh4igw5eZ2rf2ZMXAsoH2RR7i5yHoNBj4TncXD3zGsue/Y0CjMnjsSgkePh6+f/1ue3Ja+8eREZaf3z/arnMuql5zIyIgI+vr7wyuuNyH94vl93nrxeeREZYbl/7LNncM6VC/Js3u0MAHGperiLjEV0d1Tg2QvdzhI7oF9lXzgppfi+eTEs7VAavYJ8UaewG8Y3KAx3RwWeJGaMbXzRo+dpKOVlObO5XaAXHsdrcPpxgrmsZyVfOKvkGN+gMJZ2KI2Rtf0RkNcJc1pZDqH4KHB9HFEMFN9QoRIBuH31IoxGg7ks8vEDGPR6eIh8kCTEPcPCaWPQ5fNR8CtSwqJ80fTRFnVTkhLxLDoSeTzz4tr5U9i93nJW3oNbV+Hx/4kvO9cuwZ1rFy22P753C3nzfTgfJgGB5XDh3BkYDH/fy4f370Gv18E3n+WYozJly+PMHyctykKPHETFoCoAMj5oHt3/e5aywaBHeNhjeHn7IPTIIfy2ZqXFvrduXEcB/0IAMgLWiJcmz9y9fdNiUkd2VrZseZw7a3kf79+7C71OZzHOEwDKliuPP079blF25NABBFWpav7+7Jk/sGjBXMyZvxjOzm82OUoikWD8uFFWk2duXL+GggULveUV2U7xUmVx7dI5i5/vsEf3YdDrkVdk7OLrbF6zDG279bU+T5my5qVwMl0+fxoFChU1By+atFRM/2YoWnbojopVa771uW2tbLkKOHfmtMVzee/eXeh0OuT3s3wuy5WvgFMnLZ/LwwcPoEqVanBzc4NcLsdfjx6atxkMBoQePYqgKlVeex6xYx/6/7E/BPdiU1HS0xEvJhV9cikhk0gQ80KgaBKAbw89QL+N1/HZ/79CzkXg2P04fHvoPp6l6ODhqMDLyUk/VzUSNQaL76v4uWDlecvge97Jx+i34Zr52LNCH+FqVDK+2n7rvVw3ZT8MFN+Qi5s7ChYvjc2//oJ0TRqeP3uKtfO/w6cdegEAfv1xIi6ezFgLMV2ThvnfjkSdZu1Rtmotq+MkPI/FjjWLoU3XICYqAku//wbVGzSDXKFEvoJFcWLvVvz5xzHo9Trcu3EZ6xbMRKM23QAA9Vp0xKZlcxD51wPodVpcPHUUp4/sQa0mbbL0fvwX7h6eKBNQDnN/mom0tFQ8jY7CzGkT0bNPxiSgSd98jSOHMhZ1btexK1YtX4wb16/CYNBj946tuH//Luo3agoAaN2uM+b89B3u37uD5OQkzP5+OsqWrwhX19xo0rwV9u/ZgdMnT0Cn0+H2zev4Yfpk9Oo3EADQqUtPfDtxLB4+uA+tVouTx49i9YqlaNmmg21uzFvy8PREYNly+OmHGUhLS0V0dBSmTh6Pvv0/BwCMGz0CBw/sAwB07NwNvy5ZhGtXr0Cv12PHti24d+8OGn/aDADw8MF9BI/5GjNn/Sw6QeafdOnWE1MmBiMiIhyatDRs3rge169dRcPGTd7tBb9Hbu4eKFYyECsW/ASNJg2xMdFY+ONUtO2aEezNnjYOp0IPvtGxbl+/jHRNGipUtl6Mu3ipQADA1nXLodNpEf7XQ6xc9DPadukDIGN86I9TxqBkQHnRiS0fAk9PTwSWK4cfZs5AWmoqoqOiMGXieHw2IOO5HPP1CBzYvxcA0LlrNyxdvBBX//9cbtu6GXfv3sGnTTOey249emHShGA8jY5GamoKvpv+LSpXrQpf33yvPU+9Bg1x/fpV7NqxHXq9HlcuX0LI8mXo2cc6gM+OEjQG3I9NQ5fy3lDKJMhtL0fvIF/supGxpuaAqvmslsERk6w14k5MKnoF+SKXSgaVTIJPS7gjv6salyKTAGQktHpW8sGmK9GI13w468hS1vhwBr5kA10HjcZvi2ZhTK/mUKrtUa9FJ1Rv0BwAEBMZjsT4WJhMJiz/cSIiHt3Dk8cPsX3VQvP+Vep+iu5fjsOAMTOwfnHGceQKJSrXaYyW3TKCFxc3d/QfMx2bl/+CkNmT4eLmgaad+qJMpYzlRkpXrIbkxHgs/m4s4mNj4Fe4OAaO+w6Ozi5Zfj/+i6+/mYgfv/sWLRvVgr29Azp27YlmrdoCAMLDHiPu/92WhQoXxdCvx+HbCWMQ8zQapcsEYtacheZJFp/Urov4+DiMHTkEmtRU1KxTH6O+mQQgIyD9duZszP1pJoJHD4OHpxf6DhiM8hUrAwCatWqLpOQkjBwyAEmJifAvVBgTp/2A4iVLWzc4mxo3fjK+mzYZDet8AnsHB3Tr3gut2rQDAIQ9/guxzzLuY5GixfD12GBM+GYUnkZHo0xAWfwyfwkUCgWex8Xhq8ED8Px5HAb07WFx/AmTp6FZi1b/2Ib2HTsjLS0VA/r2RHz8c1SsGGQ+9odkwLBxWPrLd+jXriFU9vZo3q4b6jdpBQCIighDfNybDe/468FdtO/+2Su3j5z4PRbNnopNa5bBxdUNHXsOQGDFjAz5r/O+x6Xzf0AikVos9l0qsDwmzVr07y8ui42fOAXTv52EurVqwMHBAd179kKbtu0BAI8fP7J4LseMG49vxozC0+goBASWxfyFfz87HTp2xvO4OHRs3xo6rRYNGjVG8ITJb3QepVKJX+YtwpRJ4zFl0nj4+ubDhElTULhwkSy+G/9eyPkI9KjogzmtSiDdYMKB27E48TBjkpiXkxIu6jf7CF95IRJdyuXF9KZFIQjAvWdpmHn0obk7Wi61w6XIJBx/8OEsw/Q+ZPMeYJuxEz6UKZ5v4ejt16/9Rm+mjM+Hsz5jdqd+aV0y+nf+epb6+kr0Rgp7ib99g97ewE1Xbd2Ej0JI5wCbnftpku2yqZ7O8tdXshFmFImIiCjH+4CWI85SHKNIRERERKKYUSQiIqIcL7svfG0rzCgSERERkSgGikREREQkil3PREREROx5FsWMIhERERGJYkaRiIiIcjwmFMUxo0hEREREohgoEhEREZEodj0TERFRjsc3s4hjRpGIiIiIRDGjSERERDke38wijhlFIiIiIhLFjCIRERHleByjKI4ZRSIiIiISxUCRiIiIiEQxUCQiIiIiUQwUiYiIiEgUJ7MQERFRjsfJLOKYUSQiIiIiUQwUiYiIiEgUu56JiIgox+ObWcQxo0hEREREophRJCIiohyPk1nEMaNIRERERKKYUSQiIqIcjwlFccwoEhEREZEoBopEREREJIpdz0RERETsexbFjCIRERERiWJGkYiIiHI8LrgtjhlFIiIiIhLFQJGIiIiIRLHrmYiIiHI8vplFHDOKRERERCSKGUUiIiLK8ZhQFMeMIhERERGJYqBIRERERKLY9UxERETEvmdRzCgSERERfSCSkpLQtWtXODo6wtvbGzNnznxl3e3bt6No0aJQq9WoW7cu7t2799bnY6BIREREOZ6dDf97G/3794dcLkdkZCROnz6NzZs3Y/HixVb1rl27hgEDBmDp0qVITExEhw4d0LhxY6Snp7/V+RgoEhEREX0AIiMjcezYMSxatAi5cuWCn58fVq1ahRkzZljVnTdvHkaNGoVatWpBoVBg4MCBqFSpEtatW/dW52SgSERERDmenZ3tvt7UqVOn0KBBA6hUKnNZiRIl4OjoaNWt/Pvvv6Nly5YWZe3atcORI0fe6r4wUCQiIiL6AISFhaFw4cJW5cWKFcPDhw8tyiIjI1GwYMHX1nsdznomIiIisiGtVgutVmtRplQqoVQqLco0Gg3s7e2t9ler1dBoNBZlJpMJEonktfVe56MMFOsWd7N1E15Lq9VixowZGDt2rNWDQG+O9/Hd+VDuZWlfR1s34bU+lHuZ3X1I9zGkc4Ctm0D/kcqGEdGkqTMwefJki7KJEydi0qRJFmVqtRppaWlW+8fFxVkFkBKJBIIgwO6Fvm2xeq9jJwiC8FZ70DuRlJSEXLlyITExEc7OzrZuzgeL9/Hd4b18d3gv3w3eR8op3jSjuHHjRuzbtw8rVqywKC9evDh2795t0S1dsmRJ7Nu3D35+fuay9evXY/fu3VizZs0bt41jFImIiIhsSKlUwtnZ2eJLLItevXp1HDlyBAaDwVx2/fp1aLVaq7GLNWrUwP79+y3KNm/ejPr1679V2xgoEhEREX0AfHx8UK1aNQwbNgwpKSkIDw/HZ599huDgYABAly5dsHHjRgDAl19+ialTp+Ls2bPQ6/VYvnw5rl69is6dO7/VORkoEhEREX0gFi9ejOfPn8PLywtBQUFo06YN+vbtCwC4e/cuoqKiAABlypTB3Llz0b17dzg7O2PNmjXYu3fvW4/3/Sgns3wIlEolJk6cmO0HaGd3vI/vDu/lu8N7+W7wPhJZy5UrF9auXSu67cKFCxbft2rVCq1atfpP5+NkFiIiIiISxa5nIiIiIhLFQJGIiIiIRDFQpA+GVquFTqeDIAgwGAxITk7G48ePce7cOaxfvx7jxo1DSEiI1X5xcXHQaDQwGo14eaRF5rHS09ORmJiIhISErLmYLJSammpVlpycjOjo6Cw5/x9//IHz589nybkoaz1//hz9+/dHUlISAECv14vWe3EpDzFarRYmk+kf6yQmJsJoNFocU6fTAch4W4XYObRaLR4/fmyun5qaanEMk8kEjUaD9PT0fzw3UU7GQDEbEAQBKSkpVr/oBEGAXq9HSkqKjVr2/kRERCAmJgZJSUnQaDTQ6/UwGAzmL61Wi5SUFMTFxSEsLAwGgwHHjx9Hnjx54OLiAl9fX1SqVAklS5bEsGHDsHv3bjx9+hSnTp1CYmKixbkKFSqE4sWLo1ixYihYsCDUajWKFy8Ob29v5M6dG6VKlUKpUqVQsmRJjB8/3kZ35J/p9XpERkYiISEBKSkp5g+39PR0aDQapKSkICEhAVFRUUhOTjbvFxUVBU9PT6u1tNasWYPq1aub79WLAXRKSgouX76M+/fvIzw8HFFRUYiOjkZ0dDSePHmCx48f486dO7h06ZJ5H41GgydPniAxMRHJycmIjY1FTEwMBEHA8OHDsXPnTnPdj3lYdHJysmjAkvmHzcfGyckJx48fN79Rwt/fH3K5HPb29nB0dIRarYZUKsXs2bMBZDzH27dvtzrO/Pnz4eXl9Y+/6yZNmoQ6deqYn5/o6GgolUpERUVh27ZtCAiwfjPKV199hbZt20IQBNy+fRuOjo5QKpWQyWSQyWRQKBSwt7fHggUL3sHdIPo4cdbzOxQREQGFQgGVSgW5XA6ZTGbx6hyj0Qi9Xg+tVovU1FR4e3tDJpNBr9fDyckJRYoUgUKhsDhmYmIifH19cfr06ay+nPeqcePGuHHjxhvXv3btGsqVK4fo6GioVCrz+ysrVqyIadOmoXbt2gAyPojS09MRExMDDw8PALDIEt6+fRvdunXDhQsXsGbNGpw8eRKLFi16Z9f1viQlJcHX1/eN6m7fvh0tW7YEAIwYMQIajQYjR47EyJEjodFoEBISgunTp0Or1aJo0aKwt7dHfHy8+T5dv34dVatWfe15HBwczB/sf/75J5o3bw6tVguFQgGFQoEWLVqgRIkSuHr1KhITE7Fu3TqkpaXh9OnTKFCgwL+6D9ldsWLFoFAo4Oho+ZrBtLQ0aDQa87IVHwu5XI6vv/4a8+bNg8FgwM6dO6FWq+Hk5GSu0759e8jlcgAZP3+fffYZNm/ejEWLFiE9PR25cuWCs7Mz8ufPDwcHB+h0OqSkpMDZ2RkyWcZHVEREBJYsWYINGzYgLS0NdnZ2MJlMkEqlcHd3h6OjI/LkyYPExERzoAoAI0eORLFixbB+/XqULVsWgHV2s0aNGlCr1Vlwt4g+UAK9M6VKlRIAvPHXo0ePzPsCEG7dumV1zNWrVwu1atXKuovIIjExMUJ8fLyQlpYm6HQ6wWg0CjExMYKrq6sQEhIiGAwGIT09XUhKShKio6OFRYsWme+bnZ2doFAoBLVaLUgkEkGlUgkqlUqQSCTmOj4+Phbn++STT4RSpUoJxYsXF9RqtRAYGCjkz59fcHNzE0qXLi0ULVpUWLRokY3uxuulp6cLAIQbN24IycnJr/xyc3MTjhw5IgiCICxYsEDw8/MT4uLihGLFiglHjhwRbt26JXTs2FEYN26ccO3aNcHHx0fQ6/VW54qKihKSk5PN/zajR48WatWqJej1ekGj0QjPnz8XwsPDrdrZsGFDYevWrYIgCEJoaKhQsmRJ4fHjx4LJZBLatm0rrFy58v3fLBvy8/MT9u3bZ1X++++/C35+flnfoPcoOjpaOHPmjJCamirodLpX1qtVq5Ywe/Zs8/f3798XGjduLDx+/FgAIMhkMkEulwsSiUSwt7cX5HK5AEC4d++eIAiCYDKZhIYNGwqOjo6Ci4uL4OLiImzbtk3w8PAQAAiFChUS8ubNKyiVSsHT01PYtGmTxfm3bt0qaDQa4datW4LYR1716tWFxYsXv5ubQvQRYkbxHTp27Bjkcrm5a0MqlSIuLg7FihXD7Nmz0a1bN/O4mrS0NOTJk8di/xYtWohmFAsVKpSVl5El3N3drcrGjx+P/Pnzo0ePHrCzs4NUKoVSqYSTkxN69OiBjh07wsHBwZydADIyirNmzTJnFAVBgEajgUajsTh2dHS0uftTLKPYr18/0RetZxdSqRQAYG9vD4lEAjs7O6hUKphMJqSmpsLOzs6cxZFIJIiLi8PKlSuxfft25M6dG4MHD4bJZEKXLl3w119/4dGjR3B2dkapUqUQERFhkeFTKpVwc3NDcnIyHBwcLLLimV12KpUKrq6uFm00GAy4cuUK6tatCwCoVasW0tPTUaNGDQAZWaGLFy9i1KhRWLZsGZo1a/Y+b5nNDBw4UDSj+LE5f/48evToYR4DbDKZoFAoIAiCeeygSqUy1xcEAVevXkVgYCD27dsHIOO+qNVqhISEYN68eeY14HQ6nTmbOGfOHMTHx+P8+fNwcHAAAOTLlw/169eHi4sL7t+/j/379+O7775DaGio+Xz79+9HXFyc+Wclc2zii23KPFe7du3ez00i+ggwUHyH3jb4ednOnTtRvHhxi7I1a9Zg6dKl763N2cWaNWuwZMkSdOnSBUajETt27EDbtm3N29VqNdRqtXnCiqurK2QyGe7du4d+/frB3t4eOp0Of/31F+7cuWPxEnTg1YPsX/RiQJSdhYSE4IsvvjB3v5tMJixcuBADBgww13Fzc8OZM2fM3/fq1Qvt27dHwYIF0bVrV7Ru3RqbN2/GgQMHRM8RFhaGwoUL4+TJk6hevbrFtsxgXKfTwcXFxVx+7NgxJCcno1GjRjAajTh//jz0ej3++OMPhISEwGAwYNKkSWjWrJm5a/BjtGjRIjRu3Nii7OTJk+jatauNWvR+yGQy2Nvbw87ODjNnzsSUKVMstv/4448YPny4+fv79++jefPmyJUrF+bNm4fAwECo1WrRMat2dnZITk5Grly50KdPHzg7O6NOnTrIly8fqlevDkdHRyxbtgxGoxGFCxdGWloa4uPjUahQIWi1WkRERGD37t3Yt28f1Go1unTpAl9fX1y5cgVOTk6QSqWQSCQwmUzQarVc0JvoHzBQfI9eF/xk0mq18PHxQYsWLczjGjPH4JhMJhQpUsQGrc86O3fuxKBBg1CwYEEAGSvL9+zZE8eOHcPcuXOtMlp9+vTB1KlTAVhnFO3s7ETHG3l4eKBZs2bmbFzx4sXNH1BFihSB0WhExYoV3/OVvhv29vbo0KED1q9fDyAjg/VPH3R79uzBkCFD0LZtW8yYMQNSqRTx8fEICAjAlClT0KlTJ6vALfN4Pj4+5rLjx49b/FuMGDECs2bNMn8/d+5clClTBjVr1jS3LTOYfdmryj90rq6uGDJkiOjPce7cuW3dvPdGoVBg0KBBmDlzJoCMZ/LlP7yKFCmCBw8eYMGCBShWrBhKly6NyMhIABk/t4IgQCaTwWQyQRAE8xhYZ2dn9OnTBzt37kSrVq3Qq1cvxMTEYOjQoXB0dIRcLoednR2MRiO0Wi1iY2MBAPPmzTNnKgFg9erV+PLLL81Z8cx99Ho9ChYsiPv372fhHSP6cDBQfE/eJPgxGo1IT0+HSqVCRETEPx4vcxLMy11aHzKDwYAJEybgl19+wbZt2/Drr78CAKpUqYIjR46gSZMm0Ov1WLRokcWHTkhICA4fPgwgY3D8oEGD4OzsbN4ulqE4e/as+f+nTZuGp0+f4pdffnlfl2ZzgiDgwIEDmDVrFm7duoUmTZrg4MGDOHjwoLnOoEGDMH36dAwePBiffvoptm7d+o/HrFKlCjZt2gQg49/uxeDy2LFj2LVrFwYPHowhQ4aYX0oPALVr10ZiYiIEQcD69esRERGBkSNHvuMrtq3k5GSo1WqLmeBiDAYDNBqNaI/Ch0wikUAul5t/P708kS+TXC5HlSpV4OjoiAsXLsDe3h5yuRwdO3bEkCFDULduXfOqB5mzxDUaDRISEiAIAkwmE+Lj46FSqXDu3Dm4ublBpVJZDDnJHOrwIkEQ0LNnT/Tr1w9KpRKdO3dGwYIFMX36dPMEOL1ebzGshYgyMFB8x94m+Ll16xbKlCkDqVQKlUplHtuo0WggkUigUCjMa/ylp6ejZMmSuH79uo2v8L8zmUz47bffMHnyZKSlpeHgwYOoVq2a+V4BQOXKlbFt2zbUr18fer0ey5Ytg0QiQXp6OsqXL482bdoAACZPnowWLVqYu+zPnj1rMT5x79696NSpExwdHaFQKCCTyRAZGQlXV1dz0JQ5bjQ1NdU8OzU702q12LJli/lDWavVmmd0Zrp48SK6d++O3r1749dff4VKpUJqaqp5DJlWq4WbmxsGDBiAP//8840+IJVK5StnXq9evRpNmjSxKjeZTAgNDbXqev6YZGa9JBIJVCoVVCoVpFIpdDodTCYTVCqVOfhJT0+HWq3+6Ja8yswCZs4oFgThlcsgTZgwATVq1DAvRbV27VqcOnUKP/zwA65fv458+fLB1dXVHEzfuXMHTZs2RUJCAs6ePYvJkyfj559/xtdffw0fHx9zD0JcXBxcXFxw6NAhq3M+ffoUefPmhVQqhUKhgE6ng1QqxS+//AKTyYT09HT06NFDdB1WopyOgeI78m+Cn6VLl0Kn00Eul2PlypUIDAxE2bJl0a1bNxQuXBiTJk0CkBEIAB/OGLrXMRgM2Lt3L4oUKYKVK1daTerJVLNmTSxYsADJycnma2/SpAnKlSsHtVoNiUQCmUwGZ2dnODo6QqfTYcmSJRaZrnr16iEsLAz29vbQ6/X45JNPMGfOHDRt2hQAMHv2bBw+fBi7du1CWlqa6OLU2U337t3RtWtXqNVq2NnZiS4WXLFiRTx58gRyuRw1atTA7du3rQbxp6WloXr16ti1a9d/btMvv/yC9evX4/Llyxblz58/R79+/RAWFgaTyYTLly9bvbT+Q+fo6GheFmjLli3w9PREjRo1EBwcjIiICHPwodPpYDQazROTPiZarRa//PKLRZY+MDDQql5cXBxCQ0Px888/A8jIFgYHB2PFihUoVqwYmjdvDplMhm3btpn3KVu2LCIjI9GqVSu0atUKPXv2hFarxdixY9GwYUO4ubkByOhduH37tmj7Tp48iZiYGDg4OODOnTuoXbs2WrRogerVq6N3797QarUf9fqeRP8FA8V35N8EPxKJxDwzesCAAbh48aK53k8//YQlS5ZAr9dDr9dj9uzZ6N27d1ZdznulUCiwcuVKSKXS1wa//fr1s/i+Q4cO0Ov1cHV1hb29PSIjI80Zs+TkZMTFxeHp06cIDg4GkJEFyxxvt3fvXphMJowcORK7du2Cj48PVq1ahRMnTkAikcDR0THbd+1rtVpIJBJIJBLzBJ3M8X4vB4yZWUKZTIZly5ahVatWFttDQkKsFj/W6XRISkr6xzdpmEwmc6Zbo9HA09PTfN9CQkKwZcsWAMBff/0Fg8GAxYsXY/78+TAYDBg+fDh69er1by8/28rM/g8aNMgiK7Vp0yYcOnTI/HM8dOhQTJw40XYNfU/GjRuH4OBgyOVyi8ziy5YvXw5/f3+UKFHCvF+TJk3QokULCIKAyZMno2rVqliyZAn69+9vtf/NmzdRv359jBs3DgBQoEABeHp6Asjo/n85UDQajbh79y6GDBmCu3fvmjOHw4cPR48ePRAUFARvb2+0aNHiXd4Ooo8KA8V35L8EP7Nnz4aDgwN27NiBUqVKAQCGDx9uzih+jDKXvnjRP81MTklJQWxsLG7cuGHuRpZIJKhUqRJmzZqFmjVrmrv3kpKSEBYWhvz58wPIWKxaq9WiePHi+Omnn7Bjxw4sWbIEAQEBeP78Obp06YK2bduiXbt28PLyem/X/F9kLjfy8qx4MS/fR6PRiC+++AJjxoyxKE9MTERQUJBF2d27d1GmTBnz9/7+/hbbX362AwMDzVnElJQU9OrVC1OmTMGIESOwatUq1KtXD35+fnBycoLRaISvry+USuVHkx1/UWb3+o4dO9CoUSMAGYtNf6zdmZk9HYDlkjN2dnZQKBSIiYlBfHw8oqOjIZFIoNPpMHfuXHTo0AEAsG7dOvz8888IDAyEn58foqOjkTt3bhQqVAgjR45E48aNzT/DWq0WN2/exOHDh7Fs2TLUq1cPgiBg6NCh5gytTqdDuXLlLNp49uxZSKVS7Nu3D8eOHcOgQYNQq1YtBAcHQyqVYuHChWjXrh3atm2LMWPGiGZBiXI6Borv0NsGPwBw+vRpzJ8/H+fOnUP//v3x+++/Iy4uDvb29rh69SrkcjnS09PNb82oU6fO+2h6tpCQkPDKsXKnTp1C69atYW9vD5VKBZlMZs6s9enTx5zFyJwsULFiRfOEl1WrVuHLL7+Es7MzAgMDUb16dZw8eRIVKlSARqPBli1b8OOPP2LatGm4e/dutpxo8Pz5cwDAo0eP/vGtJsWKFbN65lJTUzFv3jyrjOLWrVuxY8cOi7JChQrhypUrUKvV5rVAM2fvZnbNmUwmGI1G83u3M8XFxQEAcufOja5du6Jt27Y4cuQIACA+Ph4KhQJfffUVTpw4gZ9++ulf3Yfs6sGDBxg9ejT279+P2bNno3r16nBycoJCocDly5fN4+KSkpKQnJxsHvrwIYuPj//H7Q8fPkTVqlVhb2+PgIAASKVS9O7dG1WqVAEABAUFYdiwYahSpQqKFSuGwoULw8HBARqNBoMGDbJ4thQKBRo2bIj+/fubX9WXmpqK8+fPm38eTp48ienTp1u0oW3btmjfvj1u3ryJwYMHY9q0afj888/N29u1awdnZ2f069fvo52JT/Rf2QkcmPFe1atXD3K53Opdu0DGL7oKFSqgX79+GDlyJARBwMaNG7FmzRpcuXIF0dHRFh/6Y8aMwYwZM7Ky+R+FzPdGZ45lepVHjx5ZZdDo34mJicGjR49QuXJli/KbN2/C3t7+o3qFn8lkQp06dVCmTBnzUiz79u3DihUrcOHCBURFRVkMC+jUqRN+++03WzU3S92+fRuFChXKFrOJk5OTX/lHINdSJHo1Boo29uzZM7i5ub3yr1mtVmvO3KhUKqs3txCR7SUnJ0Mmk73yncE6nc48YSLzffBERB8CBopEREREJIqDMoiIiIhIFANFIiIiIhLFQJGIiIiIRDFQJCIiIiJRDBSJiIiISBQDRaKPWO3atSGTyaBQKKBWq1G2bFkcPHjwvZ0v81V+Fy9ehLu7O548efLG+4aGhqJZs2bvrC0FChRAbGysVfmkSZMwa9astzrWu3q1Y+3atT+6d10T0ceNgSLRR+7MmTPQ6XSIjY3FlClT0L17d9y/f/+9ntPJyQlFixZ95bqCRET0YWCgSJRDODg4oEWLFmjXrh127tz5Xs9VtGhRnDp1Cq6uru/1PERE9H4xUCTKYfR6vfmVao6OjliwYAEcHBxw9uxZAEB0dDS6du0KFxcXODk5oXnz5rhz547FMWJjY9G7d2+4urrC2dkZnTp1QnR0tMX2l1/TFxUVhd69e8Pd3R329vaoXLkytmzZAgAYPXo06tWrh71790Imk+HixYsAMt54MmjQIPM+derUMbczU1paGoYOHQpPT084ODigcePGuHv37hvfj4cPH6JVq1ZwdHSEu7s7hgwZgnPnzqF27doW9SIjI9GxY0c4Ozsjd+7c6NOnj/kd3Jnu3buH5s2bw9HREa6urujatSuioqJEz7tkyRJ4eHggX7582LRp0xu3l4goKzFQJMohdDod9u/fj02bNqFp06YAgPT0dBw6dAhRUVGoXLkykpOTUa9ePVSrVg1hYWGIjIxEq1atUL9+fYSFhQHIeEd57dq1kStXLly7dg3h4eFo3LgxWrZs+cpzP3v2DDVq1ICPjw8uXbqExMREzJo1C1OmTMHatWsxc+ZMHDlyBE2aNIHBYECFChVgNBrRtGlTuLu749atW4iNjcWXX36Jdu3amQNJk8mE5s2bIzo6Gn/88QdiYmLw+eefo2PHjkhKSnrtPYmMjETNmjURFBSER48e4caNG/Dw8ECfPn0s6un1erRu3Rpt2rRBZGQkLl++DLlcjvr165vf4xwREYFGjRqhW7duiImJwf379xEQEIDatWtbtSUlJQVTp07FlStXsHv3bkRGRr75PyQRUVYSiOijVatWLUGhUAgODg5Cnjx5hOrVqwsHDx40bwcgnDt3zvz9999/L4waNcrqOHPmzBGGDBkiCIIg/PDDD0KnTp2s6oSEhAgODg6CIAjCs2fPBD8/P/O2oUOHCmPHjrXaJz4+XtBoNIIgCMKxY8eEpk2bmrdt3LhR6NChg9U+O3bsEFq0aCEIgiBs2rRJqFatmmAymSzqhIaGCgCEZ8+eWe0/ceJE4YcffhAEQRAGDRokjBkzxqrOsGHDhFq1apm/ByDs2LHDql7Tpk2FhQsXmo+1YMEC0WP99NNPgiBk/HucP39eSElJEQoWLCgkJSVZ1Sciyk6YUST6yJ06dQopKSl49uwZTp48iQYNGlhsDwwMNP//8ePHMXv2bKhUKouvUaNG4dKlS+Y63bp1szpP+/btIZVKRdtw5MgR0X1cXFygUqlE9zl+/Di2bt1q1ZYOHTrg8uXL5jpdunSBnZ2dxb61atWCl5fXq2/KC+cQa1fHjh0tvlcqlWjSpIlVvW7duuH48ePmYw0dOtSqvfPnzzffu0wODg74+uuvUalSJezevfu17SQishWZrRtARLajUqmgUCgsynbu3InGjRu/ch9BECAIwludx2g0wmAwvHX75s6di4EDB/6rtrxJG+3s7N6onslkeqN6V65cQfHixV9bDwAGDhyIWrVqYcCAAbh8+TKCg4PfaD8ioqzEjCJRDvZyBrBGjRrYtWuXVb0VK1bg8OHDADLWAly1apVVnY0bN8JoNIqep2bNmlixYoVVeUJCgnmM38te1Za9e/dizZo15rasXbsWJpPJok5oaCiePn0qetwX1a5d23ysF23YsMHie71eLzrhZNWqVeZJL69q7/fff48rV66Inr9EiRLYt28ffvzxx9e2lYjIFhgoEpHZoEGDcOTIEXz33XeIi4tDUlIS5s2bhwkTJqBUqVIAMjJh169fxxdffIHIyEgkJiZi6dKlWLp06SuPGxwcjA0bNmDMmDEIDw+HXq9HaGgoatSogR07dgAAJBIJ9Hq9eZ927dohISEBw4YNQ1RUFNLS0vDbb7+hX79+CAgIAAC0bt0aSqUSHTt2xIMHD5CamorNmzdj5MiRb7Q0z7hx47B27VpMnz4dsbGxePbsGaZOnYpjx45Z1FMqlZg7dy5Wr16N5ORkhIWFoV+/foiJiUGvXr0AAN988w3mzZuHZcuWISkpCbGxsZg4cSJWrFiBwoULWxzv5s2b+Pbbb5GcnIx9+/bB19f39f84REQ2wECRiMycnZ1x9OhRXLlyBYUKFUK+fPlw8OBBHD16FHnz5gWQsaROaGgokpKSULp0aeTPnx8nT578x7UZfXx88Mcff+DRo0coU6YMXF1dERwcjBkzZpjHAxYvXhw3btxA2bJlAQAymQz79u2DRqNBQEAAPDw8sHTpUuzYscMcKEqlUuzZswd58+ZF1apV4eHhgdWrV2PLli1wdnZ+7fXmzZsXJ06cwPnz5+Hv74+SJUsiKSkJy5Yts6gnk8mwfft27NmzB97e3ihbtiwkEgkOHz4MpVIJAMiXLx8OHDiA7du3w9vbG0WLFsWDBw8QGhoKBwcHi+P5+/vj4cOH8PLywqRJk0SzrURE2YGd8LaDjYiIiIgoR2BGkYiIiIhEMVAkIiIiIlEMFImIiIhIFANFIiIiIhLFQJGIiIiIRDFQJCIiIiJRDBSJiIiISBQDRSIiIiISxUCRiIiIiEQxUCQiIiIiUQwUiYiIiEjU/wAKVbYutD/DbQAAAABJRU5ErkJggg==","text/plain":["
"]},"metadata":{},"output_type":"display_data"}],"source":["plot_value_counts(df_best, \"o1-mini (10-shot)\", preprocess_func=extract_answer)"]},{"cell_type":"code","execution_count":44,"metadata":{},"outputs":[],"source":["df_best.to_csv(\"data/best_results.csv\", index=False)"]},{"cell_type":"code","execution_count":45,"metadata":{},"outputs":[],"source":["perf_df.to_csv(\"data/best_metrics.csv\", index=False)"]}],"metadata":{"accelerator":"GPU","application/vnd.databricks.v1+notebook":{"dashboards":[],"environmentMetadata":null,"language":"python","notebookMetadata":{"mostRecentlyExecutedCommandWithImplicitDF":{"commandId":-1,"dataframes":["_sqldf"]},"pythonIndentUnit":4},"notebookName":"10_eval-lf-medium-py3.11","widgets":{}},"colab":{"gpuType":"L4","provenance":[]},"kernelspec":{"display_name":"Python 3","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":"3.11.9"}},"nbformat":4,"nbformat_minor":0}
+{"cells":[{"cell_type":"code","execution_count":2,"metadata":{"executionInfo":{"elapsed":476,"status":"ok","timestamp":1720679526275,"user":{"displayName":"HUANG DONGHAO _","userId":"00977795705617022768"},"user_tz":-480},"id":"uWKRSV6eZsCn"},"outputs":[],"source":["%load_ext autoreload\n","%autoreload 2"]},{"cell_type":"code","execution_count":3,"metadata":{"application/vnd.databricks.v1+cell":{"cellMetadata":{"byteLimit":2048000,"rowLimit":10000},"inputWidgets":{},"nuid":"eb33b19f-1206-41ee-84e2-e6258a12eef7","showTitle":false,"title":""},"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":2534,"status":"ok","timestamp":1720679529344,"user":{"displayName":"HUANG DONGHAO _","userId":"00977795705617022768"},"user_tz":-480},"id":"xwFh14uiZBrI","outputId":"d767799c-34c2-46a5-f052-378146a55321"},"outputs":[],"source":["from pathlib import Path\n","\n","if \"workding_dir\" not in locals():\n"," try:\n"," from google.colab import drive\n","\n"," drive.mount(\"/content/drive\")\n"," workding_dir = \"/content/drive/MyDrive/logical-reasoning/\"\n"," except ModuleNotFoundError:\n"," workding_dir = str(Path.cwd().parent)"]},{"cell_type":"code","execution_count":4,"metadata":{"application/vnd.databricks.v1+cell":{"cellMetadata":{"byteLimit":2048000,"rowLimit":10000},"inputWidgets":{},"nuid":"6d394937-6c99-4a7c-9d32-7600a280032f","showTitle":false,"title":""},"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":5,"status":"ok","timestamp":1720679529345,"user":{"displayName":"HUANG DONGHAO _","userId":"00977795705617022768"},"user_tz":-480},"id":"G5pNu3zgZBrL","outputId":"160a554f-fb08-4aa0-bc00-0422fb7c1fac"},"outputs":[{"name":"stdout","output_type":"stream","text":["workding dir: /Users/inflaton/code/engd/projects/logical-reasoning\n"]}],"source":["import os\n","import sys\n","from pathlib import Path\n","\n","os.chdir(workding_dir)\n","sys.path.append(workding_dir)\n","print(\"workding dir:\", workding_dir)"]},{"cell_type":"code","execution_count":5,"metadata":{},"outputs":[{"name":"stdout","output_type":"stream","text":["working dir: /Users/inflaton/code/engd/projects/logical-reasoning\n"]}],"source":["# haotian comp\n","import os\n","import sys\n","from pathlib import Path\n","\n","if \"workding_dir\" not in locals():\n"," workding_dir = str(Path.cwd().parent)\n","os.chdir(workding_dir)\n","sys.path.append(workding_dir)\n","print(\"working dir:\", workding_dir)"]},{"cell_type":"code","execution_count":6,"metadata":{"application/vnd.databricks.v1+cell":{"cellMetadata":{"byteLimit":2048000,"rowLimit":10000},"inputWidgets":{},"nuid":"9f67ec60-2f24-411c-84eb-0dd664b44775","showTitle":false,"title":""},"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":3,"status":"ok","timestamp":1720679529345,"user":{"displayName":"HUANG DONGHAO _","userId":"00977795705617022768"},"user_tz":-480},"id":"hPCC-6m7ZBrM","outputId":"c7aa2c96-5e99-440a-c148-201d79465ff9"},"outputs":[{"name":"stdout","output_type":"stream","text":["loading env vars from: /Users/inflaton/code/engd/projects/logical-reasoning/.env\n"]},{"data":{"text/plain":["True"]},"execution_count":6,"metadata":{},"output_type":"execute_result"}],"source":["from dotenv import find_dotenv, load_dotenv\n","\n","found_dotenv = find_dotenv(\".env\")\n","\n","if len(found_dotenv) == 0:\n"," found_dotenv = find_dotenv(\".env.example\")\n","print(f\"loading env vars from: {found_dotenv}\")\n","load_dotenv(found_dotenv, override=True)"]},{"cell_type":"markdown","metadata":{},"source":["## Matplotlib cannot find basic fonts\n","\n","https://stackoverflow.com/questions/42097053/matplotlib-cannot-find-basic-fonts\n","\n","I am in macOS with jupyter notebook, I solved with the following, first close your jupyter notebook. Then find out the font path by doing the following in Python\n","\n","import matplotlib\n","print(matplotlib.matplotlib_fname())\n","it prints /Users/zyy/anaconda2/lib/python2.7/site-packages/matplotlib/mpl-data/matplotlibrc for me, notice matplotlibrc is a file, not a directory.\n","\n","Then download font SimHei, and copy it to the directory fonts/ttf under the mpl-data/ directory above.\n","\n","Delete directory ~/.cache/matplotlib and restart your jupyter notebook, everything should be good."]},{"cell_type":"code","execution_count":7,"metadata":{},"outputs":[{"name":"stdout","output_type":"stream","text":["loading /Users/inflaton/code/engd/projects/logical-reasoning/llm_toolkit/logical_reasoning_utils.py\n","/Users/inflaton/anaconda3/envs/logical-reasoning/lib/python3.11/site-packages/matplotlib/mpl-data/matplotlibrc\n"]}],"source":["import matplotlib\n","from llm_toolkit.logical_reasoning_utils import *\n","print(matplotlib.matplotlib_fname())\n"]},{"cell_type":"code","execution_count":8,"metadata":{"application/vnd.databricks.v1+cell":{"cellMetadata":{"byteLimit":2048000,"rowLimit":10000},"inputWidgets":{},"nuid":"f1597656-8042-4878-9d3b-9ebfb8dd86dc","showTitle":false,"title":""},"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":3,"status":"ok","timestamp":1720679529345,"user":{"displayName":"HUANG DONGHAO _","userId":"00977795705617022768"},"user_tz":-480},"id":"1M3IraVtZBrM","outputId":"29ab35f6-2970-4ade-d85d-3174acf8cda0"},"outputs":[],"source":["model_orders = {\n"," # \"Mistral-7B-v0.3-Chinese-Chat\": 5,\n"," \"internlm2_5-7b-chat\": 9,\n"," \"internlm2_5-7b-chat-1m\": 10,\n"," \"internlm2_5-20b-chat\": 11,\n"," \"Qwen2-7B-Instruct\": 20,\n"," \"Qwen2-72B-Instruct\": 25,\n"," \"Llama3.1-8B-Chinese-Chat\": 30,\n"," \"Llama3.1-70B-Chinese-Chat\": 40,\n"," \"gpt-4o-mini\": 90,\n"," \"o1-mini\": 91,\n"," \"gpt-4o\": 95,\n"," \"o1-preview\": 100,\n","}"]},{"cell_type":"code","execution_count":9,"metadata":{},"outputs":[],"source":["markers = [\n"," \"o\",\n"," \"x\",\n"," \"^\",\n"," \"s\",\n"," \"d\",\n"," \"P\",\n"," \"X\",\n"," \"*\",\n"," \"v\",\n"," \">\",\n"," \"<\",\n"," \"p\",\n"," \"h\",\n"," \"H\",\n"," \"+\",\n"," \"|\",\n"," \"_\",\n","]\n","model_markers = {k: markers[i] for i, k in enumerate(model_orders.keys())}"]},{"cell_type":"code","execution_count":10,"metadata":{},"outputs":[{"name":"stdout","output_type":"stream","text":["\n","RangeIndex: 3000 entries, 0 to 2999\n","Data columns (total 30 columns):\n"," # Column Non-Null Count Dtype \n","--- ------ -------------- ----- \n"," 0 text 3000 non-null object\n"," 1 label 3000 non-null object\n"," 2 title 3000 non-null object\n"," 3 puzzle 3000 non-null object\n"," 4 truth 3000 non-null object\n"," 5 gpt-4o-mini/shots-00 3000 non-null object\n"," 6 gpt-4o-mini/shots-05 3000 non-null object\n"," 7 gpt-4o-mini/shots-10 3000 non-null object\n"," 8 gpt-4o-mini/shots-20 3000 non-null object\n"," 9 gpt-4o-mini/shots-30 3000 non-null object\n"," 10 gpt-4o-mini/shots-40 3000 non-null object\n"," 11 gpt-4o-mini/shots-50 3000 non-null object\n"," 12 gpt-4o/shots-00 3000 non-null object\n"," 13 gpt-4o/shots-05 3000 non-null object\n"," 14 gpt-4o/shots-10 3000 non-null object\n"," 15 gpt-4o/shots-20 3000 non-null object\n"," 16 gpt-4o/shots-30 3000 non-null object\n"," 17 gpt-4o/shots-40 3000 non-null object\n"," 18 gpt-4o/shots-50 3000 non-null object\n"," 19 o1-mini/shots-10 3000 non-null object\n"," 20 o1-preview/shots-10 3000 non-null object\n"," 21 o1-mini/shots-00 3000 non-null object\n"," 22 o1-preview/shots-00 3000 non-null object\n"," 23 o1-mini/shots-05 3000 non-null object\n"," 24 o1-mini/shots-20 3000 non-null object\n"," 25 o1-preview/shots-05 3000 non-null object\n"," 26 o1-preview/shots-20 3000 non-null object\n"," 27 o1-preview/shots-50 3000 non-null object\n"," 28 o1-preview/shots-40 3000 non-null object\n"," 29 o1-preview/shots-30 3000 non-null object\n","dtypes: object(30)\n","memory usage: 703.3+ KB\n"]}],"source":["import pandas as pd\n","\n","df_openai = pd.read_csv(\"data/openai_results.csv\")\n","df_openai.info()"]},{"cell_type":"code","execution_count":11,"metadata":{},"outputs":[],"source":["df_best = df_openai[\n"," [\n"," \"text\",\n"," \"label\",\n"," \"title\",\n"," \"puzzle\",\n"," \"truth\",\n"," ]\n","].copy()"]},{"cell_type":"code","execution_count":12,"metadata":{},"outputs":[{"name":"stdout","output_type":"stream","text":["Best F1 for internlm2_5-7b-chat @ 0.80 epoch & internlm/internlm2_5-7b-chat/checkpoint-140_torch.bfloat16_lf run: 0.7660159670998776\n","Best F1 for internlm2_5-7b-chat-1m @ 0.80 epoch & internlm/internlm2_5-7b-chat-1m/checkpoint-140_torch.bfloat16_lf run: 0.8028064320197301\n","Best F1 for internlm2_5-20b-chat @ 0.80 epoch & internlm/internlm2_5-20b-chat/checkpoint-140_torch.bfloat16_4bit_lf run: 0.8027552955647029\n","Best F1 for Qwen2-7B-Instruct @ 0.40 epoch & Qwen/Qwen2-7B-Instruct/checkpoint-70_torch.float16_lf run: 0.7748745026535183\n","Best F1 for Qwen2-72B-Instruct @ 1.80 epoch & Qwen/Qwen2-72B-Instruct/checkpoint-315_torch.bfloat16_4bit_lf run: 0.804194683154365\n","Best F1 for Llama3.1-8B-Chinese-Chat @ 1.00 epoch & shenzhi-wang/Llama3.1-8B-Chinese-Chat/checkpoint-175_torch.float16_lf run: 0.7924651054056209\n","Best F1 for Llama3.1-70B-Chinese-Chat @ 1.00 epoch & shenzhi-wang/Llama3.1-70B-Chinese-Chat/checkpoint-175_torch.bfloat16_4bit_lf run: 0.8076868978089201\n"]},{"data":{"text/html":["
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"],"text/plain":[" epoch model \\\n","0 0.0 internlm2_5-7b-chat \n","1 0.2 internlm2_5-7b-chat \n","2 0.4 internlm2_5-7b-chat \n","3 0.6 internlm2_5-7b-chat \n","4 0.8 internlm2_5-7b-chat \n",".. ... ... \n","6 1.2 Llama3.1-70B-Chinese-Chat \n","7 1.4 Llama3.1-70B-Chinese-Chat \n","8 1.6 Llama3.1-70B-Chinese-Chat \n","9 1.8 Llama3.1-70B-Chinese-Chat \n","10 2.0 Llama3.1-70B-Chinese-Chat \n","\n"," run accuracy precision \\\n","0 internlm/internlm2_5-7b-chat_torch.bfloat16_lf 0.705000 0.739804 \n","1 internlm/internlm2_5-7b-chat/checkpoint-35_tor... 0.719333 0.786349 \n","2 internlm/internlm2_5-7b-chat/checkpoint-70_tor... 0.726000 0.790025 \n","3 internlm/internlm2_5-7b-chat/checkpoint-105_to... 0.673667 0.804457 \n","4 internlm/internlm2_5-7b-chat/checkpoint-140_to... 0.749667 0.804187 \n",".. ... ... ... \n","6 shenzhi-wang/Llama3.1-70B-Chinese-Chat/checkpo... 0.732667 0.826535 \n","7 shenzhi-wang/Llama3.1-70B-Chinese-Chat/checkpo... 0.755667 0.825899 \n","8 shenzhi-wang/Llama3.1-70B-Chinese-Chat/checkpo... 0.757000 0.826446 \n","9 shenzhi-wang/Llama3.1-70B-Chinese-Chat/checkpo... 0.754667 0.827772 \n","10 shenzhi-wang/Llama3.1-70B-Chinese-Chat/checkpo... 0.749667 0.828231 \n","\n"," recall f1 ratio_valid_classifications \n","0 0.705000 0.690636 1.0 \n","1 0.719333 0.733050 1.0 \n","2 0.726000 0.739658 1.0 \n","3 0.673667 0.710412 1.0 \n","4 0.749667 0.766016 1.0 \n",".. ... ... ... \n","6 0.732667 0.764442 1.0 \n","7 0.755667 0.782041 1.0 \n","8 0.757000 0.783450 1.0 \n","9 0.754667 0.782358 1.0 \n","10 0.749667 0.779195 1.0 \n","\n","[77 rows x 8 columns]"]},"execution_count":12,"metadata":{},"output_type":"execute_result"}],"source":["import pandas as pd\n","\n","perf_df = None\n","model_perf_dfs = {}\n","for model_name in model_orders.keys():\n"," metrics_csv = f\"data/{model_name}_metrics.csv\"\n"," if not Path(metrics_csv).exists():\n"," continue\n"," df = pd.read_csv(metrics_csv)\n"," \n"," best_f1 = df[\"f1\"].idxmax()\n"," print(\n"," f\"Best F1 for {model_name} @ {df['epoch'].iloc[best_f1]:.2f} epoch & {df['run'].iloc[best_f1]} run: {df['f1'].iloc[best_f1]}\"\n"," ) \n","\n"," model_perf_dfs[model_name] = df\n"," perf_df = df if perf_df is None else pd.concat([perf_df, df])\n","\n","perf_df"]},{"cell_type":"code","execution_count":13,"metadata":{},"outputs":[],"source":["import matplotlib.pyplot as plt\n","from matplotlib.ticker import MultipleLocator\n","\n","def plot_perf(\n"," model_perf_dfs,\n"," model_markers,\n"," x_major_locator=0.2,\n"," y_offset=0.005,\n","):\n"," fig, ax = plt.subplots(1, 1, figsize=(12, 6))\n","\n"," for model_name, perf_df in model_perf_dfs.items():\n"," # Ensure the lengths of perf_df[\"epoch\"], perf_df[\"accuracy\"], and perf_df[\"f1\"] are the same\n"," min_length = min(len(perf_df[\"epoch\"]), len(perf_df[\"accuracy\"]), len(perf_df[\"f1\"]))\n"," perf_df = perf_df.iloc[:min_length]\n","\n"," (line,) = ax.plot(\n"," perf_df[\"epoch\"],\n"," perf_df[\"f1\"],\n"," marker=model_markers[model_name],\n"," label=model_name,\n"," )\n","\n"," line_color = line.get_color()\n","\n"," best_f1 = perf_df[\"f1\"].idxmax()\n"," print(\n"," f\"Best F1 for {model_name} @ {perf_df['epoch'].iloc[best_f1]:.1f} epoch & {perf_df['run'].iloc[best_f1]} run: {perf_df['f1'].iloc[best_f1]}\"\n"," )\n"," ax.annotate(\n"," f\"{perf_df['f1'].iloc[best_f1]*100:.2f}%\",\n"," (perf_df[\"epoch\"].iloc[best_f1], perf_df[\"f1\"].iloc[best_f1]),\n"," ha=\"center\",\n"," va=\"bottom\",\n"," xytext=(0, 0),\n"," textcoords=\"offset points\",\n"," fontsize=10,\n"," color=line_color,\n"," )\n","\n"," df = pd.read_csv(f\"data/{model_name}_results.csv\")\n"," df_best[f\"{model_name} ({perf_df['epoch'].iloc[best_f1]:.1f}-epoch)\"] = df[perf_df['run'].iloc[best_f1]].apply(extract_answer)\n","\n"," # Set y-axis limit\n"," y_scales = ax.get_ylim()\n"," ax.set_ylim(y_scales[0], y_scales[1] + y_offset)\n","\n"," # Add title and labels\n"," ax.set_xlabel(\"Epoch (0: base model, 0.2 - 2: fine-tuned models)\")\n"," ax.set_ylabel(\"F1 Score\")\n","\n"," # Set x-axis grid spacing to 0.2\n"," ax.xaxis.set_major_locator(MultipleLocator(x_major_locator))\n"," ax.set_title(\n"," \"Performance Analysis Across Checkpoints for Models\"\n"," )\n","\n"," # Rotate x labels\n"," plt.xticks(rotation=0)\n"," plt.grid(True)\n"," # plt.tight_layout()\n","\n"," # Set legend at the right to avoid overlapping with lines\n"," plt.legend(loc=\"center left\", bbox_to_anchor=(1.0, 0.5))\n","\n"," plt.show()"]},{"cell_type":"code","execution_count":14,"metadata":{},"outputs":[{"name":"stdout","output_type":"stream","text":["Best F1 for internlm2_5-7b-chat @ 0.8 epoch & internlm/internlm2_5-7b-chat/checkpoint-140_torch.bfloat16_lf run: 0.7660159670998776\n","Best F1 for internlm2_5-7b-chat-1m @ 0.8 epoch & internlm/internlm2_5-7b-chat-1m/checkpoint-140_torch.bfloat16_lf run: 0.8028064320197301\n","Best F1 for internlm2_5-20b-chat @ 0.8 epoch & internlm/internlm2_5-20b-chat/checkpoint-140_torch.bfloat16_4bit_lf run: 0.8027552955647029\n","Best F1 for Qwen2-7B-Instruct @ 0.4 epoch & Qwen/Qwen2-7B-Instruct/checkpoint-70_torch.float16_lf run: 0.7748745026535183\n","Best F1 for Qwen2-72B-Instruct @ 1.8 epoch & Qwen/Qwen2-72B-Instruct/checkpoint-315_torch.bfloat16_4bit_lf run: 0.804194683154365\n","Best F1 for Llama3.1-8B-Chinese-Chat @ 1.0 epoch & shenzhi-wang/Llama3.1-8B-Chinese-Chat/checkpoint-175_torch.float16_lf run: 0.7924651054056209\n","Best F1 for Llama3.1-70B-Chinese-Chat @ 1.0 epoch & shenzhi-wang/Llama3.1-70B-Chinese-Chat/checkpoint-175_torch.bfloat16_4bit_lf run: 0.8076868978089201\n"]},{"data":{"image/png":"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"]},"metadata":{},"output_type":"display_data"}],"source":["plot_perf(model_perf_dfs, model_markers)"]},{"cell_type":"code","execution_count":15,"metadata":{},"outputs":[{"data":{"text/plain":["['gpt-4o-mini', 'o1-mini', 'gpt-4o', 'o1-preview']"]},"execution_count":15,"metadata":{},"output_type":"execute_result"}],"source":["models = [m for m in model_orders.keys()]\n","models[-4:]"]},{"cell_type":"code","execution_count":16,"metadata":{},"outputs":[{"name":"stdout","output_type":"stream","text":["Best F1 for internlm2_5-7b-chat @ 0-shot & internlm/internlm2_5-7b-chat/shots-00: 0.6906357423169466\n","Best F1 for internlm2_5-7b-chat-1m @ 10-shot & internlm/internlm2_5-7b-chat-1m/shots-10: 0.665824871588245\n","Best F1 for internlm2_5-20b-chat @ 0-shot & internlm/internlm2_5-20b-chat/shots-00: 0.6352190975436365\n","Best F1 for Qwen2-7B-Instruct @ 0-shot & Qwen/Qwen2-7B-Instruct/shots-00: 0.710140098232232\n","Best F1 for Qwen2-72B-Instruct @ 0-shot & Qwen/Qwen2-72B-Instruct_torch/shots-00: 0.7572499605227642\n","Best F1 for Llama3.1-8B-Chinese-Chat @ 0-shot & shenzhi-wang/Llama3.1-8B-Chinese-Chat/shots-00: 0.7371050181385632\n","Best F1 for Llama3.1-70B-Chinese-Chat @ 10-shot & shenzhi-wang/Llama3.1-70B-Chinese-Chat/shots-10: 0.756682017266956\n","Best F1 for gpt-4o-mini @ 0-shot & gpt-4o-mini/shots-00: 0.7296061848734905\n","Best F1 for o1-mini @ 20-shot & o1-mini/shots-20: 0.7535300565051624\n","Best F1 for gpt-4o @ 10-shot & gpt-4o/shots-10: 0.803614688453356\n","Best F1 for o1-preview @ 50-shot & o1-preview/shots-50: 0.7708181822112403\n"]},{"data":{"text/html":["